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@Unknown6656
Created July 28, 2026 14:41
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fmcw_range_doppler.ipynb
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/Unknown6656/b5611580f97a7890eba7f68ba75c0e9e/fmcw_range_doppler.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "4YWHstbXORP1"
},
"source": [
"# FMCW Doppler Processing\n",
"\n",
"Includes examples showing:\n",
"- How a single target's range and velocity can be obtained using triangular modulation\n",
"- Introduction to phase components of reflected LFM signal\n",
"- Simulation of range-Doppler spectrum for user-specified (range, velocity) target pairs\n",
"- 3D plotting of range-Doppler spectrum\n",
"\n",
"Check out the bottom for a challenge problem!\n",
"\n",
"</br>\n",
"\n",
"> Provided as supplemental material for [Marshall Bruner](https://www.youtube.com/@MarshallBrunerRF)'s [video on the range-Doppler spectrum](https://tinyurl.com/doppler-video-nb).\n",
"\n",
"- [GitHub](https://tinyurl.com/github-nb)\n",
"- [YouTube](https://tinyurl.com/marshall-bruner-yt-nb)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"id": "j-QXyh_2ORP4"
},
"outputs": [],
"source": [
"import numpy as np\n",
"from random import randint\n",
"import matplotlib.pyplot as plt\n",
"from scipy import signal\n",
"from scipy.constants import c, pi, mph\n",
"from numpy.fft import fft, fftshift, fft2\n",
"from matplotlib import cm\n",
"\n",
"%matplotlib inline\n",
"plt.style.use(\"ggplot\")\n",
"# plt.rcParams.update(\n",
"# {\n",
"# \"text.usetex\": True,\n",
"# \"font.family\": \"typeface\",\n",
"# }\n",
"# ) # Makes plotting slightly slower but prettier (requires LaTeX installed)"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "hUqYDHPAORP5"
},
"source": [
"## Doppler Estimation Using Triangular Modulation"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 582
},
"id": "weHpZ_lZORP6",
"outputId": "a4cadf29-fda6-458b-a7bd-8096c0f3659a"
},
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 1600x600 with 2 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
],
"source": [
"t = np.linspace(0, 1, 1000)\n",
"f = 3\n",
"range_shift = -pi / 3\n",
"doppler_shift = 0.1\n",
"tx = (signal.sawtooth(2 * pi * f * t, width=0.5) + 1) / 2\n",
"rx = (signal.sawtooth(2 * pi * f * t + range_shift, width=0.5) + 1) / 2 + doppler_shift\n",
"if_sig = np.abs(tx - rx)\n",
"\n",
"\n",
"fig, ax = plt.subplots(2, 1, figsize=(16, 6), layout=\"constrained\")\n",
"fig.suptitle(\n",
" \"Disambiguating Range and Velocity with a Triangular LFM\\n(only for single target)\",\n",
" fontsize=20,\n",
")\n",
"ax[0].set_ylabel(\"Frequency (Hz)\", fontsize=16)\n",
"ax[0].set_title(\"Transmit and Received Frequency Ramps\", fontsize=16)\n",
"ax[0].plot(t, tx, label=\"Tx\", c=\"b\")\n",
"ax[0].plot(t, rx, label=\"Rx\", c=\"r\")\n",
"ax[1].set_ylim([0, 0.6])\n",
"ax[1].set_ylabel(r\"$f_{IF}$ (Hz)\", fontsize=16)\n",
"ax[1].set_xlabel(\"Time (s)\", fontsize=16)\n",
"ax[1].set_title(\"Mixer Output\", fontsize=16)\n",
"ax[1].text(0.08, 0.3, r\"$f_{beat} - f_d$\", fontsize=18)\n",
"ax[1].text(0.25, 0.5, r\"$f_{beat} + f_d$\", fontsize=18)\n",
"ax[1].plot(t, if_sig, label=\"Rx\", c=\"orange\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"source": [
"This means that we now have 2 known values, $f_{up} = f_{beat} - f_d$ and $f_{down} = f_{beat} + f_d$. Using these we can obtain the range beat frequency, $f_{beat}$, and Doppler frequency shift, $f_d$, of our target\n",
"\n",
"\\begin{equation}\n",
" f_d = \\frac{f_{down} - f_{up}}{2} \\\\\n",
" f_{beat} = \\frac{f_{down} + f_{up}}{2}\n",
"\\end{equation}\n",
"\n",
"Then from these frequencies can derive the range and velocity\n",
"\n",
"\\begin{equation}\n",
" R = \\frac{c T_{c} f_{beat}}{2 B} \\\\\n",
" v = \\frac{f_d \\lambda}{2}\n",
"\\end{equation}\n",
"\n",
"where $c$ is the speed of light, $T_c$ is the chirp time, $B$ is the bandwidth, and $\\lambda = c/f$ is the wavelength.\n"
],
"metadata": {
"id": "15h7GvYiRd3X"
}
},
{
"cell_type": "markdown",
"metadata": {
"id": "hospuzKIORP9"
},
"source": [
"## Trying with real radar parameters"
]
},
{
"cell_type": "markdown",
"source": [
"## Single Target"
],
"metadata": {
"id": "LcjooL0MQoBA"
}
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"id": "c1R0zM1GORP9"
},
"outputs": [],
"source": [
"# Radar setup\n",
"f = 76e9 # Hz\n",
"Tc = 40e-6 # chirp time - s\n",
"bw = 1.6e9 # bandwidth - Hz\n",
"chirp_rate = bw / Tc # Hz/s\n",
"\n",
"wavelength = c / f\n",
"M = 40 # number of chirps in coherent processing interval (CPI)\n",
"\n",
"# Target\n",
"R = 20 # m\n",
"v = 10 # m/s"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "FlhWiqc0ORP-",
"outputId": "6cfb65ff-ed78-4ab5-9435-1b3f508898fa"
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Range resolution: 0.09 m\n"
]
}
],
"source": [
"range_resolution = c / (2 * bw)\n",
"print(f\"Range resolution: {range_resolution:.2f} m\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "lyqzWRFbORP-",
"outputId": "708374dd-e79b-4b4a-f689-20f5ad4e6abc"
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Propagation time: 66.72 ns\n"
]
}
],
"source": [
"time_from_dist = R / c\n",
"time_from_vel = 2 * (v * Tc) / c\n",
"time_elapsed = time_from_vel + time_from_dist\n",
"print(f\"Propagation time: {time_elapsed * 1e9:.2f} ns\")"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "seXbcyyrORP-"
},
"source": [
"## Computing phase components\n",
"The full equation for phase is\n",
"\n",
"\\begin{equation}\n",
" \\phi_1 = -(2 \\pi \\mu \\Delta \\tau ) t + \\pi \\mu \\Delta \\tau^2 + 2 \\pi \\mu \\tau_0 \\Delta \\tau - 2 \\pi f \\Delta \\tau + \\phi_0\n",
"\\end{equation}\n",
"\n",
"where $\\Delta \\tau$ is the time difference between chirps due to the radial velocity (`time_from_vel`), $\\mu = B / T_c$ is the chirp rate (`chirp_rate`), and $\\tau_0$ is the round-trip time due to distance (`time_from_dist`). 3 / 4 of these components will be very small, however, and can be ignored. Below is an example of an automotive system and the values of these components.\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "Dvp6l9I7ORP-"
},
"source": [
"\\begin{equation}\n",
" 2 \\pi \\mu \\Delta \\tau\n",
"\\end{equation}"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "0JrHDES4ORP-",
"outputId": "4b24aa8a-d781-49b8-cdef-4eb09e0e14a2"
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"0.027 radians\n"
]
}
],
"source": [
"print(f\"{2 * pi * chirp_rate * time_from_vel * Tc:.3f} radians\")"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "fVAdm_pdORP_"
},
"source": [
"\\begin{equation}\n",
" \\pi \\mu \\Delta \\tau^2\n",
"\\end{equation}"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "0fVgTxZfORP_",
"outputId": "e755a661-58bf-40ea-d9cd-c41e9c01a209"
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"8.948 * 10^-10 radians\n"
]
}
],
"source": [
"print(f\"{pi * chirp_rate * time_from_vel**2 * 1e10:.3f} * 10^-10 radians\")"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "-0AKPhjTORP_"
},
"source": [
"\\begin{equation}\n",
" 2 \\pi \\mu \\tau_0 \\Delta \\tau\n",
"\\end{equation}"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "WfBeiadhORP_",
"outputId": "30f88585-f5cc-4344-ca01-6e299da64f6d"
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"4.474 * 10^-5 radians\n"
]
}
],
"source": [
"print(\n",
" f\"{2 * pi * chirp_rate * time_from_dist * time_from_vel* 1e5:.3f} * 10^-5 radians\"\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "diszABKxORP_"
},
"source": [
"\\begin{equation}\n",
" 2 \\pi f \\Delta \\tau\n",
"\\end{equation}"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "Nc8LbewpORP_",
"outputId": "53a0265e-6e95-400d-a66e-af0ec56d121f"
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"1.274 radians\n"
]
}
],
"source": [
"print(f\"{2 * pi * f * time_from_vel:.3f} radians\")"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "nNdKsDGBORQA"
},
"source": [
"$2 \\pi f \\Delta \\tau$ comes out to be the largest phase component by multiple orders of magnitude, so the phase difference can be approximated by\n",
"\n",
"\\begin{equation}\n",
" \\Delta \\phi = \\phi_1 - \\phi_0 \\approx -2 \\pi f \\Delta \\tau\n",
"\\end{equation}\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "MbC3tZYGORQA"
},
"source": [
"## Simulating targets in range and Doppler"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "jm7JMj0PORQA"
},
"source": [
"### Target characteristics\n",
"\n",
"Remember:\n",
"\\begin{equation}\n",
" R = \\frac{c T_{c} f_{beat}}{2 B} \\\\\n",
" f_{beat} = \\frac{2 R B}{c T_c}\n",
"\\end{equation}\n",
"\n",
"where $T_c$ is the chirp time (`Tc`), $B$ is the bandwidth (`bw`), $c$ is the speed of light (`c`), and $f_{beat}$ is the beat frequency from range (`f_beat`)."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "--WAz42LORQA",
"outputId": "0be376fe-842e-43ca-eeea-6b21591adab0"
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Beat frequency: 5.34 MHz\n",
"Phase delta: 1.27 radians\n"
]
}
],
"source": [
"def compute_phase_diff(v):\n",
" time_from_vel = 2 * (v * Tc) / c\n",
" return 2 * pi * f * time_from_vel\n",
"\n",
"\n",
"def compute_f_beat(R):\n",
" return (2 * R * bw) / (c * Tc)\n",
"\n",
"\n",
"f_beat = compute_f_beat(R) # Hz\n",
"phase_diff = compute_phase_diff(v) # radians\n",
"\n",
"print(f\"Beat frequency: {f_beat/1e6:.2f} MHz\")\n",
"print(f\"Phase delta: {phase_diff:.2f} radians\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "F8qmsmU1ORQA",
"outputId": "5a733f04-18d9-4b52-bb3b-dfe277b72d7a"
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Maximum velocity: 24.65 m/s\n",
"Velocity resolution: 1.23 m/s\n"
]
}
],
"source": [
"max_vel = wavelength / (4 * Tc) # m/s\n",
"vel_res = wavelength / (2 * M * Tc) # m/s\n",
"\n",
"print(f\"Maximum velocity: {max_vel:.2f} m/s\")\n",
"print(f\"Velocity resolution: {vel_res:.2f} m/s\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 501
},
"id": "-ugKF-2RORQA",
"outputId": "43309b07-2b35-4293-a082-348d607b3ca5"
},
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
],
"source": [
"max_time = 20 / f_beat # s\n",
"N = 10000\n",
"Ts = max_time / N # s\n",
"fs = 1 / Ts # Hz\n",
"\n",
"t = np.arange(0, max_time, 1 / fs)\n",
"\n",
"beat_signal = np.sin(2 * pi * compute_f_beat(R) * t + phase_diff)\n",
"\n",
"plt.plot(t, beat_signal)\n",
"plt.title(\n",
" f\"Beat Signal\\n\"\n",
" f\"$f=\\\\ ${f_beat/1e6:.2f} MHz, $\\\\Delta \\\\phi =\\\\ ${phase_diff:.2f} rad\"\n",
")\n",
"plt.xlabel(\"Time (s)\")\n",
"plt.ylabel(\"Amplitude\")\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 501
},
"id": "lB-xg4XrORQB",
"outputId": "067aee40-e8ea-4b27-f22c-d121ae7d84ca"
},
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
],
"source": [
"window = signal.windows.blackman(N)\n",
"cpi_single = np.array(\n",
" [\n",
" (\n",
" np.sin(2 * pi * compute_f_beat(R) * t + m * phase_diff)\n",
" + np.random.normal(0, 0.1, N)\n",
" )\n",
" * window\n",
" for m in range(M)\n",
" ]\n",
")\n",
"\n",
"n = randint(0, M - 1)\n",
"\n",
"plt.plot(t, cpi_single[n])\n",
"plt.plot(t, cpi_single[0])\n",
"plt.title(\n",
" f\"Random Beat Signal in CPI\\n\"\n",
" f\"$f=\\\\ ${f_beat/1e6:.2f} MHz, $\\\\phi_{{{n}}} - \\\\phi_0 =\\\\ ${n*phase_diff:.2f} rad\"\n",
")\n",
"plt.xlabel(\"Time (s)\")\n",
"plt.ylabel(\"Amplitude\")\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 501
},
"id": "-ULOgNuNORQB",
"outputId": "ca9db89b-c937-412b-9060-a2a6c2945b1e"
},
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
],
"source": [
"fft_len = N * 8\n",
"freq = np.linspace(-fs / 2, fs / 2, fft_len)\n",
"\n",
"rmax = c * Tc * fs / (2 * bw)\n",
"n_ranges = np.linspace(-rmax / 2, rmax / 2, N)\n",
"ranges = np.linspace(-rmax / 2, rmax / 2, fft_len)\n",
"\n",
"X_k = fftshift(fft(cpi_single[n], fft_len))\n",
"X_k /= N / 2\n",
"X_k = np.abs(X_k)\n",
"X_k = 10 * np.log10(X_k)\n",
"\n",
"fig, ax = plt.subplots()\n",
"ax.set_title(\n",
" f\"Random Beat Signal in CPI's Frequency Spectrum\\n\"\n",
" f\"$f=\\\\ ${f_beat/1e6:.2f} MHz, $\\\\phi_{{{n}}} - \\\\phi_0 =\\\\ ${n*phase_diff:.2f} rad\"\n",
")\n",
"\n",
"# Uncomment to plot over frequency axis instead\n",
"# ax.plot(freq / 1e6, X_k)\n",
"# ax.set_xlabel(\"Frequency (MHz)\")\n",
"ax.plot(ranges, X_k)\n",
"ax.set_xlabel(\"Range (m)\")\n",
"\n",
"ax.set_ylabel(\"Magnitude\")\n",
"ax.set_xlim([0, 40])\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 745
},
"id": "LxW8vA7vORQB",
"outputId": "c3cc1a1d-2065-4cd7-a9c8-39c52b6c522e"
},
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 800x800 with 2 Axes>"
],
"image/png": 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339eruqiqGnK+S5cuDU5z9913h4xvSiQS06effrrecp6Z9D3//PPB/2VkZIR8E627fgFou3fvbrLfALRFixY1OU+326117tw5GP/CCy+cFXPmNnPLLbeEXPZrrrkmGP/Tn/60wZhQCcGJEyeC1cFOnTo1mYjV+vLLL4PzvOqqq0Iuy3333RdynuF45JFHmrxuG6ipPE6YMEFbvHhxyGtBz0x0Gkv2a504caLeWYm61y/Wmjp1avD/77//vq7lqq3uKYpy1geer776Kjg/RVGavNY3lEgkpo19OD9TSyemFotFKyoqanKe3bt3r3csOLNSWpfT6QzuF4qinFWFJYoU3pXfjsyfP/+sO0iTkpJw0UUXYenSpQBqro/64x//iKeeekr3fH0+H9atW4fnnnsODz30EH7961/jrrvuCn4999xzwdi6T51pyk9+8pMm/9+3b9/guJynTp1CZWXlWTF172S9+eabQ7apJ+bDDz8M/nzDDTfourt54sSJwZ/XrVsXMr6lxcfH1/v9zNeudjB+oGYZa1/nxowcORKDBg0K/r5mzZom461WK6677rqQMT/96U91zxPAWU/BasiMGTNE82zIqlWrgk9Fuuaaa3Q9R37UqFHBIZf0bAN1lz2SHnroIWzduhW33HJLo0NABQIBfPbZZ5gxYwYGDRoUfCpcKF27dq1313pDOnTogMmTJwd/P3Md+P1+/Oc//wEAJCYmYsqUKbrarm1X07R616UCwMcffxz8+ZJLLkH//v11zbMlpKSk4PLLL2+19usaN25cyGveBw4cGPz5qquugsViaTTWbrcHr2XWNA0FBQUR6SfRmXjz0znEaDRiwYIF+K//+i9d8S6XC0888QReeOEFFBcX65pGT1xSUlLIG1MURUFKSgpcLheAmgv5ExISgv/XNA1bt24N/j5q1KiQ7ebk5CA9Pb3JPn755ZfBn9esWaNruCWtzrAzhYWFIeNb2pmJaGJiYr3fN2/eHPxZ781qY8eODSYwoW7iGDRo0FnJcUMuuOCC4GNx6/apIYqi6FrHF1xwQfDn48eP49ixY+LB4+tuA1u3bsVdd90lmr60tBTV1dWNJoZms7leoh9pAwYMwJIlS/DCCy9g/fr1+OKLL7Bx40Zs2rQpeONZrV27dmHMmDFYv349zjvvvCbnO3r0aF0f1C644AKsWLECwNnrdevWrcFh4Mxms66b6QDg22+/Df585j721VdfBX8OlTi3tCFDhsBoNLZqH2rVTTobk5KSEvx5wIABIeNTU1ODP9feFEgUaUxM25ERI0Zg5MiRwd+rqqpw6NAhbNiwAR6PB4FAADNnzsSBAwfw+OOPNzmvhp67rUdDlc0z6b2b02w2B3+ue6ctUHOHcG1VC4DuO7C7du3aZGJad9SCjz76SNc86yotLRVPE2nl5eXBn81mc72EHqgZfL9WVlaWrnnWHbsx1IeP7t2765pn3bi6fWpISkrKWcvRkA4dOsBmswXvuD558qQ4Ma27Daxbty6sKnhpaWmjiWlKSoquUQiay+Fw4LLLLsNll10W/NuuXbuwbNkyPPPMM8FttaqqCrfccgu+//77JhPPSKzXuq/tqVOn6p1t0evMfaxusp2TkyOeXyR16NChVduvS89xtu52KI0/85hMFCk8ld+OTJ48Gc8++2zw69VXX8Wnn36KgoIC3HDDDcG4J554AsuXL29yXrNnz6733O2ZM2figw8+QF5eHiorK+H3+6HVXKOM/Pz84HS1T59pSiQG/z5zUP/GHr14plCVvLpJXTgCgUCzpo+E3bt3B39u6FRe3ddO7xN/6saF+vChd120xDyl821Ic7cBAE0OuB/q0omW1K9fP8yfPx87duyoVyHbunVryEHeI7FeW+K1rduGnkp9S2rNdXsm6XE2Ug9lIGouJqbngE6dOuH111/HpEmTgn+78847G63uHTlyBMuWLQMAGAwGfPzxx3jppZfw4x//GL1790Z8fHy901XhvPk315lvQE6nU9d0oZ4mVfdN9b333gsm35Kv1vb1118Hfx49evRZ/6/72ul9ulbduFCVy3DWRaTmKZ1vQ+puA0899VRY28CZTweKNZ07d8ZLL71U729ffPFFk9NEYr3WfW3PO++8sF7bM596VLcNPU+ha6v0fOgnag+YmJ4jDAYD/vGPfwTfGEpKSvDEE080GPvpp58GE6wrr7wy5HVbeq7DjLSkpKR6p/r1PiovVFzdCmNRUVF4nWtFGzdurHdTwkUXXXRWTN3TjYcOHdI137rzTE9PbzJW7zzrXisYap6lpaW6ko7i4uJ6A6eHmm9D2vo2oNcFF1xQ7/TtsWPHmoyPxHptide27jzrnr2JdXWPX6EeaQtEptpM1BYwMT2HdO3atd5zuJ999tkG3xzqXgem5yaNzz//PCL9k1AUpd7NGnWrhI0pKCgIeS1j3Rtszrz7ty2oO9qCxWLBNddcc1bM0KFDgz9v2LBB13zrxg0bNqzJ2O3bt+uqxNa9ySjUPDVN07WO684zIyMDmZmZIac5U1vfBiSsVmuDPzdEz+sPNL1ehwwZEmznxIkT2Ldvn96uNqruWYG6I06EI5qns+velFj7lL2m6B09gaitY2J6jrn33nuDp77cbjeefPLJs2LqPhIx1Ok7p9PZ5KMHW9KECROCP7/xxhsh419//fWQMXWHr3nvvffOuos5lr399tvBYcEA4LbbbkOXLl3Oiqs7vNWyZcvqVRgbsnHjxnojIISqoLvdbrz99ttNxni9Xrz11lu65wkAr732WsiYuttiuHdoT5o0KXiTx4YNG7Bly5aw5hPrjh49Wu+DWqibmwoLC0Neh1pcXFxvyLUz14Hdbq+3/f3tb38T9LhhV155ZfDn1atXY9euXWHPq+7QYC19c0/dyz1C3WR69OjRmBiKjigamJieY1JSUnD33XcHf3/xxRfPqiLWvbP1ww8/bPKGnnvvvbfVkref//znwZ/XrVvXZDJUWFiIP//5zyHnOXLkyGDC63K5cMstt9S7+78pXq+31e7KX7x4cb0xPDt16oSHH364wdgbb7wxeJ3psWPHMH/+/Ebn6/V6620vF198Mfr06ROyPw8//HCTr8UTTzyBI0eOAKi57rDuzXmNef3115us2q1Zswbvvvtu8PeZM2eGnGdDunTpEhzzVtM03HrrrbqHxlFVNWRVviX861//wj/+8Q9RMvXQQw/Vuyb6iiuuCDnNnDlz4PF4mvx/7QedrKyseiMC1Prtb38b/PmZZ57BqlWrdPe5oTM8I0eOxNixYwH8sL7CvdY0LS0t+HPt9tlS6lbmly5d2uTres899/AueDpnMDE9B/3mN78JJiZOpxMLFy6s9/+JEycG78Ddt28fZsyYgbKysnoxFRUVuOOOO/DCCy/ovrM70vr3748bb7wx+PuMGTPqVQxrbdmyBZdeeinKy8tDnq4Eat4sa1+f//znP7jooouaTIjy8vLw6KOPokePHlE99et2u/F///d/uOyyy3DbbbcFx3y12+344IMPGqyWAjWnEB966KHg73/84x/x0EMPnZWAHz9+HFdffXVwnEiTyYQ//OEPIftlsVhQWFiIyy+/HPv376/3v0AggD/84Q945JFHgn/73e9+d9ZYq2cym80IBAKYMmVKg4nM//3f/2HatGnBROuyyy7DJZdcErKvjXn88ceDw0xt3boVI0eOxMqVKxuNP3z4MJ5++mn06dOnXiU4Wo4cOYLbb78dvXr1wsMPP1xvZIYzHTp0CDfddBNefvnl4N9+/OMfhxyY3mKx4LvvvsPUqVPP+jDqdrvxy1/+EosXLw7+7fHHH6939qXW+PHjgx+i/H4/fvSjH+EPf/hDo8mk2+3G+++/j6uvvho//vGPG4z561//Gty3N27c2OQ+W1RUhD//+c/405/+dNb/srOzg8e+gwcP1hs/NdKmTJkSPHt18OBBzJw5M7gP1yopKcGtt96K5cuX6zp2EbUHHMf0HJSWlobZs2djwYIFAIDnnnsO9913X3Dw5JSUFMyZMyeYPLzxxhv46KOPMGrUKHTp0gXHjh3DZ599hurqaphMJvztb3+rV62Lpv/93//FV199hQMHDsDlcuHGG2/Eww8/jNGjR8NisWD37t348ssvoWkapk+fjpMnT2Lt2rUA0OCbJlAzMPXSpUtx/fXXw+l04uuvv8bo0aPRs2dPDBs2DKmpqXC73Thx4gS2bt3aYpWVkpKSswZ3dzqdKCsrw+HDh/H999+fVUUZMGAAXn/9dQwZMqTJec+ZMwfr1q3Dv/71LwDAY489hueffx4XX3wxUlJSUFhYiDVr1tSr4vzpT3/SNcj99OnTsW/fPnzzzTfo27cvxo0bh549e6KyshKff/55vZtsLrroonoVtMZkZmZi2rRp+Mtf/oLLLrsMgwcPxpAhQ6BpGr777jvs2LEjGNvQHedSmZmZ+OCDDzB58mQUFxdjz549mDRpErp06YKRI0eiQ4cO8Pl8KC4uxvbt22PmpptDhw7h0UcfxaOPPooOHTpg2LBh6NixI+Li4lBeXo5du3Zhy5Yt9Sqlubm5eOGFF0LO+84778QHH3yAjz/+GD169MCECRPQrVs3nDp1CmvWrKlXIb/xxhtx0003NTqvF198EceOHcPKlSvh9XrxwAMP4LHHHsOoUaPQvXt3WK1WlJWVYf/+/di+fXtwOzz//PMbnN+wYcOwaNEi3HbbbfD7/di8eTNGjx6NPn36YOjQoUhKSkJ5eTl27tyJ7du3Q1XVBgf3NxqNmDp1Kt58800ANZcLXXHFFejevXtwJJLU1FQ88MADIV+vUBwOBx566CHcd999AGrOCKxcuRIXX3wxEhMTUVhYiM8//xxOpxMDBw7EpEmTzioiELVLkXy+KUVf3ectN/b85IacOHFCi4uLC0774IMP1vu/3+/Xbr311iafuZ2cnKytWLGi3nPAG3u+u56YM2VlZQWnyc/PbzTu4MGD2pAhQ5rs69VXX61VVFRoY8aMCf5t8+bNTbb//fffa+eff36T86371aNHj5DzDOXM527r/crNzdUWLlyo67nutXw+n3bXXXdpRqOxyXknJSVpr7zyiu5+z5gxQzty5Ig2evToJuf7ox/9SKusrGx0nmduM16vV/uv//qvJufZp08fbdeuXU32VfKM8oKCAu2SSy7RvR4yMjIafD58ONu/xPr167Xhw4eLt5ubbrpJO3HiRKPzPfP57Lt27dL69OnT5Dx//vOfaz6fL2Sf/X6/9tBDD2kOh0NXX81mszZ79uwm57l69WotOztb1/zmzp3b4DwKCgq0Tp06NTrdmevvzG1fIhAIaDNnzmyyn6NHj9YOHz581rpoiJ6YumbMmBGMD7WPa5ps3yEKFyum56gOHTrgzjvvDF53+cwzz+Dee+9FcnIygJrKweLFi/GTn/wEf//73/H111+jtLQUKSkp6N69O66++mr8/Oc/R2ZmZqs/M7l79+749ttv8corr2Dp0qXYvn07ysvL0alTJwwePBi33XYbpk2bBkVRUFJSEpyudlkbM3jwYGzcuBErV67E+++/j/Xr1+Po0aMoKyuD1WpFhw4d0KdPH4waNQqTJk3CBRdc0KJ39RoMBiQkJCAxMREpKSno378/hg8fjjFjxtR7FKdeJpMJzzzzDP77v/8bL7/8MlavXo3CwkJUVlYiNTUVubm5mDx5Mm6//fZ6197pkZmZibVr1+L111/HG2+8gd27d6O4uBhpaWkYMWIEfvazn2Hq1KmieZrNZvzjH//AT37yEyxatAjffvstjh07hri4OPTr1w/XX3897rjjjoie8szKysKqVavw5Zdf4u2338bnn3+OwsJClJaWwmQyIS0tDb1798bw4cNx+eWXY8KECVF5qtOZxowZg2+//RZHjhzBmjVrsH79euzYsQMHDhxAaWkpPB4P4uPjkZaWhv79++OCCy7AT3/6U/GTkvr27Ytvv/0WL7/8MpYvX459+/ahrKwMGRkZGDt2LO644w7dN50ZjUY88sgjuPvuu7FkyRKsWrUKO3fuRHFxMXw+HxITE5GVlYVBgwbh4osvxuTJk0M+WWnixInYs2cPli1bhn//+9/YuHEjTpw4AY/Hg6SkJPTq1QsXXHABpk2bhnHjxjU4j6ysLGzZsgXPPvssVq5cWe+hIpFmMBjw0ksvYdq0acHj7KlTp5CWloZ+/frh5ptvxi233FJvaCmi9k7RtBgYEZwoCpxOJ5KSkuD3+xEXF4eKiopGT+eTzKuvvoqf/exnAGqu9X311VebPc+CggJkZ2cDqEkWWvsD0Llo3rx5wZvjfv/73581uD0RUaTxXZnOGe+9916w6jFs2DAmpURERDGG78x0TigtLcWDDz4Y/L3u3fxEREQUG5iYUpt3/fXX45133ml0oPj169dj7NixwUendunSpck7homIiKh1tIubn95//328+eabmDx5Mm677TYANQODL1myBBs2bIDP58PgwYMxc+bMkDe8UNvz9ddfY/ny5YiPj8fQoUORnZ0Nu92O0tJSbNq0qd5jD81mM1555ZXg+IFEREQUO9p8Yrpv3z785z//QVZWVr2/L168GJs2bcJvfvMbOBwOLFq0CAsXLsSjjz7aSj2lllZVVYUvvvgCX3zxRYP/79y5M5YsWYJLL700yj0jIiIiPdr0qXy3241nnnkGv/jFL+o9fcjpdOLTTz/FjBkzMHDgQOTk5GDWrFnYs2cP8vLyWrHH1BLWrFmDhQsXYurUqRg0aBA6d+4Mi8WCuLg4ZGVlYerUqXjhhRewf/9+JqVEREQxrE0PF/Xss88iPj4et912G+bNm4cePXrgtttuw/bt2/HII4/glVdeqZewzpo1C5MnT8aUKVManJ/P5zvrSTpms5ljyBERERFFQZs9lb9+/Xrk5+c3+OzusrIymEyms57hnpSUdNYz3+tasWIF3nnnneDvY8eObfCxdURERESN0VQnFIOjtbvRJrXJxLS4uBivvvoqHnzwQVgslojNd9q0afWqqbVP8Xn6d8txpKBY1zwCR46FDjqDMaurKF61h67gWm1m/OGvt+B3v3wNHrcP2u58URvaoF6ieADwJskqy9Z1u8RtSBmzu4vinV3iQgedQc9yWB1W/PHjB3H/FY/B4/SEjD+TUfjkJX+XVFG8qVDf9l2X2jFZFK8E5CdnFGfDIy00xp8arzvWZjPhj0/dhAdveA5ul1d/I3F2UZ+04lOieABQXbLlDoehVw9RvLqvQBRvjJPtS1aHBY+/+xs8OONF/esjjKds+ZNlyYKyfV/ooGYyduksig/rfaZzhngam82Mxxb/omaduH0h4zXhvqG45MdCf4q+7aprt1TM+d1V4vlHimJwQC27F/Dvj27Dpp4wJC+MbpsR1iYT0wMHDqC8vBy//e1vg39TVRW7du3Cxx9/jLlz58Lv96O6urpe1bS8vLzJu/IbO22/f9cx7Nt5RFffAvtkCSAAGE8FRPFqXOhHLjriahL2XdsOw1nthbZxt6gNTbOJ4gHAnS77kGBfJ+tTOIylsmSoqiJJ3Iae5XAk1Bywd32ZB2elS9yGqXMnUby3l1MUb87Tt33XpXZt+vGQZ1L8qrgNg/C18nXSv/4cjtP7yHf5cFbpTwS1RP3JLwBoR4pE8QCgVleLp5EyVMoen6tuke2vxsREUbwjoeaYs2tTAZxV+hIWzSK/zMrfQTYih7IhCsepXrIELZz3GVMP2TEBABzxNe81uzYf1LVO1CTZhxGlWv4BzN9R33alJ5Fuaap/H+DfEeVWtbZ98xDaaGI6aNCg4DPeaz3//PPIzMzE1VdfjfT0dBiNRmzbtg2jR48GABw9ehTFxcXIzc1tjS4TERERUQhtMjG12+3o3r3+KVqr1YqEhITg3ydOnIglS5YgPj4eDocDL7/8MnJzc5mYEhEREcWoNpmY6jFjxgwoioKFCxfC7/cHB9gnIiIiammqpkLT5JcwNYcS5fZaQrtJTOfNm1fvd4vFgpkzZzIZJSIiImoj2k1iSkRERBQrVGjQEN2h4pUot9cS2vrNW0RERETUTrBiSkRERBRhGjSoiO41nwZWTImIiIiIIoOJKRERERHFBJ7KJyIiIoqwADSoWnRPrUf7ZquWwIopEREREcUEVkyJiIiIIqzm5icOFyXFxFQHV3YyqjWvrljbvnzx/AO79orijYmJIWMMCbaa7/sOw1Dphjawr6gNdf33ongAwNUjZW2MHyqKNxdViuIBILBjjyjeYR8obkNJSAgZE1wfCfFApUvchr/ouCjecKxIFB8wGEXxAIDsTqJww95CcRP+igpRvMmm/5HDJl/N3bL+4yfgF6wTY2qSqE+GjA6ieADQUnrI4r/bIW7Dm+4QxVsG9xPFB7bsksVrPgCA5vRAc7p1TaMEwrjjWQl9/KzL2DtH3kaZ7Fjl6Z4qijeF8T4DRRGF+/MPwp9gr/n54GFd+4ipaxdZG4ePiOIBwGjT915mrNb3nk2xh6fyiYiIiCgmsGJKREREFGEBaAhE/dR62z+Vz4opEREREcUEVkyJiIiIIqw1bn7ik5+IiIiIiCKEFVMiIiKiCAtoQCDKA+wrbb9gyoopEREREcUGJqZEREREFBN4Kp+IiIgowjQAYTwCotlttnWsmBIRERFRTGDFlIiIiCjCWmOAfQ4XRUREREQUIUxMiYiIiCgm8FQ+ERERUYSpWs1YptFkbPtn8lkxJSIiIqLYwIqpDqpJgWpWdMUqJvlLqvTvJYuvcoeOibfWfE9LgWL1QHGGnqYuQ6cMUTwAmFyygTF8cbLXytcrRRQPANY9snhlV764DSWrS+iYuNPro0snmKwOcRv+/IOieN/lw0Xx5pUbRfEA4Eu0yCaoqBC3YYiLk01wuEh/bIINAGDs2wvGao/+6fwBUZdUh00UDwCqzSyK13d0qs9cLlhmAJpBVscw9s6RxZ/eRyT8h4+IpzEUHRfF+0YPlLex94Ao3h+XLYq3duggigeAwOFjsgkMxpqvM39ushHZvhGW/EJ9cYmtX3dTEf3hoqLdXkto/TVHRERERARWTImIiIgiToWCQFjnM5rXZlvHiikRERERxQQmpkREREQUE3gqn4iIiCjCVK3mK9pttnWsmBIRERFRTGDFlIiIiCjCVKAVbn5q+1gxJSIiIqKYwMSUiIiIiGICT+UTERERRVigFcYxDae9jz/+GP/6179QVlaGrKws/PznP0evXrInUkYSK6ZERERE56ANGzZgyZIlmD59OhYsWICsrCw8/vjjKC8vb7U+MTElIiIiijBNU6BG+UvTZBXTf//737jkkktw8cUXo2vXrrj99tthsViwZs2aFnpVQmNiSkRERNSOuFwuOJ3O4JfP5zsrxu/348CBAxg0aFDwbwaDAYMGDUJeXl40u1sPrzElIiIiirDWvMZ03rx5yM/PD/59+vTpuO666+rFVlRUQFVVJCcn1/t7cnIyjh492uJ9bQwTUx2sp7ywF7l1xRp69hDPXzUaRfG+TkmhYxyWmu8dE+GL98K4aY+sU7k9ZPEAzGUeUXzAYRbFK1rLP9LCPyxXPI2xyhsyRrWag9+1yipxG1LCsznQxg4Rt6EEZOtDMVvkbdhtsglSQu8bQXFWAEAgLx+BSpfuyYyJ8aIuKR3TRfEAYDp5dnWjKerwgeI2jMfLZG2cKpE10LWzLF6p2WgDxcW614cxJUXWBgB0TBOFh/MkHYPDIYo3ugKieF/frqJ4ADB8cVIUb0xLhTG+Zv8zJifCaAq9/2rJCbI2hPEAENi1V1ec6tK/T7dH8+bNg1bnPdNslr3ftiYmpkRERETtiN1uDxmTmJgIg8GAsrKyen8vKys7q4oaTbzGlIiIiCjCVCgIwBDVL1Vw6YDJZEJOTg62b9/+Q59VFdu3b0durvzsYaSwYkpERER0DpoyZQqee+455OTkoFevXvjwww/h8XgwYcKEVusTE1MiIiKiCFNRM4RTtNuUGDNmDCoqKrB8+XKUlZWhR48eeOCBB1r1VD4TUyIiIqJz1BVXXIErrriitbsRxGtMiYiIiCgmsGJKREREFGFqK4xjKj2VH4tYMSUiIiKimMCKKREREVGEBTQDAlp063/Rbq8ltP0lICIiIqJ2gRVTIiIiogjToECNcv1P4zWmRERERESRwcSUiIiIiGICT+UTERERRVigFYaLinZ7LYEVUyIiIiKKCayY6qBsyYOyOV9fbKcM8fy1Pftk/dETk2Cv+f71diiVLqjCPqmJNuEUgCX/hCjekJIoilcCAVE8AAQMRlkbqiZuw1hWFTrG76v5Xl4FxW4Xt2HKzhLFBzyyNe5NNoviAcB+sFIUr/q84jYCxadE8caUJHEbOL8v4NTfN+WgbDuv7pUq7RHidp8UxWsGeZVEczplE6jCo0iRbBmQID/m+Ab2EE9jOVwiig/nUeeq8LW1HSoTxSvVLlE8AKBbV1G4luAA4qw1v3RMA+I88jZD8HWIE09jPpmmK86YHMaxIMLUVhguSuVwUUREREREkcHElIiIiIhiAk/lExEREUWYiug/u1562V4sYsWUiIiIiGICK6ZEREREEabCgECU63/RftJUS2j7S0BERERE7QITUyIiIiKKCTyVT0RERBRhHMc0PG1/CYiIiIioXWDFlIiIiCjCVChRvxkp2sNTtYQ2m5iuXLkSK1euxMmTNY+969q1K6ZPn46hQ4cCAObNm4edO3fWm+bSSy/FHXfcEfW+EhEREVFobTYxTU1NxY033ojOnTtD0zSsXbsWTz75JJ588kl069YNAHDJJZfg+uuvD05jsVhaq7tERER0DlE1BQEtygPsR7m9ltBmE9Phw4fX+/2GG27AypUrsXfv3mBiarVakZyc3Aq9IyIiIiKpNpuY1qWqKr788kt4PB7k5uYG//7FF1/giy++QHJyMs4//3xce+21sFqtjc7H5/PB5/MFf1cUBXa7HbY4KxwJdl19McXbxP3365y3hD3BVu+7lOqQV5ct8Y2/tg22ESeLVwIBUTwABISvrRbGcpt1LLf99LLa46yAX74cMBlF4UbhcvjtsvkDPyyTXmoLbOdnMgr6FFwnwtdKuo9rdvk25RDuS/4wtlujdDkMsocdKsIzVPZ4+TErGscpUxhtGITbumS7BQBFCePBkwbZtY5anBX2uJplr/0eab6wjrf6tg+bQ/aaUuxQNE3TWrsT4Tp06BDmzp0Ln88Hm82GX/7ylxg2bBgAYNWqVUhPT0dqaioOHjyIN954A7169cKcOXMand/y5cvxzjvvBH/Pzs7GggULWnw5iIiIqH35T+FNKPPujmqbyZa+uKzbG1FtM9LadGLq9/tRXFwMp9OJr776CqtXr8b8+fPRtWvXs2K3b9+ORx55BH/961/RqVOnBufXWMV0ztSnkb/ziK4++bI6ipdDEa4CU3FlyBh7nBWvr38IN499FK5qD3wdE0VtuDLklVbHPzeK4g0OWVVByWx4vTU5jbDKqtrly62cKAkZY4+34o0tf8BNg3+Hqg7J4jaM+/Rtf7UCOZmieM0kv3PU8P1eWbxwfQNAoLRMPI1e9gQblh3+O6b97Hk4XV7d0zkOht7/6gokhFHNrNTfH0DfNnimQHGxKN6YLDuGaAFZVc8eb8Obu5/Cjbm/hqvKrWsatX+2qA0AwLc7ROHqBYPETVgOyV5bmGUnLzWzWTZ/AIG9B0TxxvT0esctV5Un5DTuwd1Ebagm+fWQttVbdcXlnNcdT62ZJ55/JDExDU+bPpVvMpmCSWZOTg7279+PDz/8sME773v16gUAKCoqajQxNZvNMDeww7tdHjh1Hih9TtkbChBGYqrjAFHLVe2Bs8oDX7ysXy5XGENcVLpE4YaA7KCkVOtf7uA0wtPmqio/UCo6tw0AcFV54IyTbyPGSv1tAEBAuB2GlZi28PoGgICwjXA4XV5RYgrhdhiQXyUBo7ANyTZYS/raGo2yBFuamNZyVbnh1Lm9q2Ecb6XHqXDa8AuO0QAAs+w4pVnkr614fdt+WAeuKn3vgW7ha6Wa5ccEVedyuMN4v4g0DUrUB7zX2sFwUe1qgH1VVetVPOsqKCgAAKSkpESxR0RERESkV5utmL755psYMmQI0tPT4Xa7sW7dOuzcuRNz585FUVER1q1bh2HDhiE+Ph6HDh3C4sWL0a9fP2RlZbV214mIiIioAW02MS0vL8dzzz2H0tJSOBwOZGVlYe7cuTjvvPNQXFyMbdu24cMPP4TH40FaWhpGjRqFa665prW7TUREROeAAAwIRPnEdLTbawltNjG98847G/1feno65s+fH8XeEBEREVFztdnElIiIiChW8clP4Wn7NV8iIiIiahdYMSUiIiKKMBUK1CjX/1QOF0VEREREFBlMTImIiIgoJvBUPhEREVGEqZoBgSg/+SnaT5pqCW1/CYiIiIioXWDFlIiIiCjCam5+ivJwUe3g5icmpjr4M9Phq/LrivWkW8Xzt5R6RfFqoiN0TFxNP9QEB1SDEQGbbFUrAU0UHw7V6RTFm/wBcRveLimieMMXm8VtmLJDP+ZWibee/m4HvtkhbiOgCpfd0E0UrmzYIps/AOkWomR2EreB0lJRuLF/rv7Y0/uIwafB4NO/NP4Uu6hP5qJyUTwAaFaLKF4Vvk4AYMztKYrXbGZRvOLRd8wMxp9eHwgEar70+GqrqA0AMPbpJYpXqn3iNtTiU6J479gBonhfglEUDwAJXuHjuL0+KJaa9w3FYoJi0bH+VdlRweCRv88YO2Xom3d6mnjeFBt4Kp+IiIiIYgIrpkREREQRVvPkp2jf/NT2T+WzYkpEREREMYEVUyIiIqIIC8CAQJTrf9FuryW0/SUgIiIionaBFVMiIiKiCNM0JerXfGq8xpSIiIiIKDKYmBIRERFRTOCpfCIiIqIIC0BphZufeCqfiIiIiCgiWDElIiIiijANBqhRHmBfawf1xra/BERERETULjAxJSIiIqKYwFP5RERERBFWc/NTdG9G4s1PREREREQRwoqpHgal5ksH1ST/tGJ0+8XTSJk+/U4Wr8iXw5TTQxTvP1Agig+kxIniAUA1yz57mTM6itvw5x8MHZNgr/leUAhjWqq4DcVhE8W7Ei2ieIvVKooHAGNmJ1G8VlklbkPseLH+2Pia19Rc5YPZ6dM9mbHKI+qSFidbdwBgKJO9Vn5VE7fh65ggijeXOGUNlFXI4v01r5MhowMMcTpf40SHrA0A6p588TRiwuOn5ZRLFO9OSxTFA4Cvc7Io3nysDLCYa36xmAGLGnIab5IspUhcvVsUDwCBan2vldpZ/n4RaTVPforyzU988hMRERERUWSwYkpEREQUYbzGNDysmBIRERFRTGBiSkREREQxgafyiYiIiCJM01rhyU9Rbq8ltP0lICIiIqJ2gRVTIiIioggLaAoCUa5gBjhcFBERERFRZDAxJSIiIqKYwFP5RERERBGmQYEa5XFFNY5jSkREREQUGayYEhEREUVYQDO0ws1Pbb/e2PaXgIiIiIjaBVZMiYiIiCJMgwI1ysM3tYdrTJmY6mB0emGs8uiKtVrkRWhfolUUb/r0u5AxaoK95vvW3VArXTAO6CNqQykpF8UDQCAtQTbBAVm44ldlEwCwbi0Qxfv7dBO3YejWMWSMEmep+T6sH5R9ReI2/AcLRfFa3wxZvEff9l2PIjwAdkwTN2EMyNZ54FSJ/lhvzT6ifLUNSqVL93SGLNk24snpIIoHAJNJeBwpOCRuw1yqf5kBILAzT9yGaP7O08espHioJrOuaZQq2TIAgNIzSzbBYfn+qiQliuLVvAJRvKnrQFE8AGhm2Tblzz8I/+n3EX9BIfw69hFT/9DHwrq8Q3qK4gHA+NkmXXGa3yeeN8UGnsonIiIiopjAiikRERFRhAWgIBDl+l+gHZzKZ8WUiIiIiGICK6ZEREREEaZprXDzU5TbawmsmBIRERFRTGBiSkREREQxgafyiYiIiCJMhQFqlOt/0W6vJbT9JSAiIiKidoEVUyIiIqIIUzUgEOWbkVQtqs21CFZMiYiIiCgmsGJKREREFGFqKwwXFe32WgIrpkREREQUE5iYEhEREVFM4Kl8IiIioghTNQNULcrDRUW5vZbQ9peAiIiIiNoFVkx1UPPyoW7J1xVr7ZQhnr+/e0fxNFKaSfYZRC0pFbfh75spijcK568cPCqcAgiUlYviTSlJ4jbc2amh5+uwAAC8KTb4j8iXwyTcrtRqv7gNKf+BAlG8KaeHvBGbVT5NC/MfLBTFa73k+7filq2/cEaICezYI4o3Jsv2DbVnV1G8ElezrpXDx6FUuXVNEzhVImoDADyTR4ji45z6+lJXIC1BFG9w2ETxjsNVongAUG2yt3ttzGBop49b2qiB0Jze0P3aeFDUhre/bBtpa1QoCCDKNz9Fub2WwIopEREREcUEJqZEREREFBN4Kp+IiIgowlQt+uOK8slPREREREQRwoopERERUYRpiP5wUVo7qDe2/SUgIiIionaBiSkRERERxQSeyiciIiKKMBVK1McV5TimREREREQRwoopERERUYSpmoJA1IeLavsV0zabmK5cuRIrV67EyZMnAQBdu3bF9OnTMXToUACA1+vFkiVLsGHDBvh8PgwePBgzZ85EcnJyK/aaiIiIiBrTZhPT1NRU3HjjjejcuTM0TcPatWvx5JNP4sknn0S3bt2wePFibNq0Cb/5zW/gcDiwaNEiLFy4EI8++mhrd52IiIjaOVVToj5cVHuomLbZa0yHDx+OYcOGoXPnzsjMzMQNN9wAm82GvXv3wul04tNPP8WMGTMwcOBA5OTkYNasWdizZw/y8vJau+tERERE1IA2WzGtS1VVfPnll/B4PMjNzcWBAwcQCAQwaNCgYEyXLl2Qnp6OvLw85ObmNjgfn88Hn88X/F1RFNjtdtjirHAk2HX1xRRvE/ff77DIJtDRF3uCrd53Q5xV1ISmc3nrki6HUdiGMUH+2gYCXlkbwtcJAAw6lttutwS/m8N4baXblUm4Lgxh9EnKFC9/bWGUhfsFy3HmPtJSxPs3AEucXxSvRmH9Sfc/Vbgv2U+/TnbBdhLwypfbaJetD0cY221AuOwG4WMkNeEyAIBqle1MmkH5YZ3o3IZb+jgF6H/fsIVxLKfY0KYT00OHDmHu3Lnw+Xyw2WyYM2cOunbtioKCAphMJsTFxdWLT0pKQllZWaPzW7FiBd55553g79nZ2ViwYAGe/rztnv5fdvjvrd0FquPdN2YDmN3a3aA6uI/Elje2PdnaXaAzvPX+r1u7C21Szal83vwk1aYT08zMTPzpT3+C0+nEV199heeeew7z588Pe37Tpk3DlClTgr8rSs0Kvvfni3Agr0jXPAJ2s7hd5ZvtonhT9y4hY+xxVrz+1TzcPHoeXNUeBI6dFLVh7JgmigcAd68MUbxtzzFRvL/ouCg+HMbeOeJp/CmOkDF2hwVvffBrXH/1X+BZL1vfAOCeOFAUby+sEsUbXG5RPABop0pF8YGKSnEbxp49RPGSSpLdYcGb/7kP069/Fi6X/sq6ddtBUZ9cw7JF8QBgWbVJPI2UKbOTKF6zy6phvo4Joni7w4Ll7/0KN417HK5qj65pFFUVtQEA1b3TRfGO/DJxG+7uSaJ48+rNonhDQrwoHgAMSYmi+Op+neCwW/Dea7NwzS1/g1PHPhK39bCoDc0rO6MFAJpf39mEnIHdsPDj34nnT62vTSemJpMJnTrVHFxzcnKwf/9+fPjhhxgzZgz8fj+qq6vrVU3Ly8ubvCvfbDbDbD47sXS7vHDqPFAGNOE5GQBKpUsUb6rS1xcAcFV74KzyICBsw+jQ30Ytt1N2kFGrZMmQX7gM4TDqXM91+a36dyOX0wt3GMvhFiROAKAJl8PglC+3Vilbf9JtEJCvD02V738ulxdOwbYbEG63kqS3VjS2dclxBAA0VVaJ8TnDO5XqqvboPt4qAXliqifBqieMY4L0WGgWrm9DGG/dBqNsfdR9nZwur67XTRHuG5qn5RJTdxjHtEjTWmGAfa0F25s9e3ZwJKRaN954I6ZOnRrRdtp0YnomVVXh8/mQk5MDo9GIbdu2YfTo0QCAo0ePori4uNHrS4mIiIiocddddx0uvfTS4O82W+Sv0W+ziembb76JIUOGID09HW63G+vWrcPOnTsxd+5cOBwOTJw4EUuWLEF8fDwcDgdefvll5ObmMjElIiKids3lckGrcwa3sTPCUna7vcXHg2+ziWl5eTmee+45lJaWwuFwICsrC3PnzsV5550HAJgxYwYURcHChQvh9/uDA+wTERERtbTWvPlp3rx5yM/PD/59+vTpuO6665o9//fffx/vvvsu0tPTceGFF+JHP/oRjEbh8CkhtNnE9M4772zy/xaLBTNnzmQySkREROeUefPmnVUxba4rr7wS2dnZiI+Px549e7B06VKUlpZixowZzZ53XW02MSUiIiKKVRqi/+Sn2puf7HZ9472+8cYb+OCDD5qMefrpp9GlS5d6oxZlZWXBZDLhpZdewo033hiRxLcWE1MiIiKic9BVV12FCRMmNBmTkdHwUJC9e/dGIBDAyZMnkZmZGbE+MTElIiIiirC2MMB+YmIiEhNlY9zWKigogKIoYU/fGCamRERERNSovLw87N27FwMGDIDdbkdeXh4WL16McePGIT5e/sCHpjAxJSIiIqJGmUwmbNiwAW+//TZ8Ph86duyIH/3oR/WuO41YWxGfIxEREdE5Tm2FJz+1VHs5OTl4/PHHW2TeZ4ru7WJERERERI1gxZSIiIgowrRWuPlJi3J7LYGJqQ6BBAv8yfqeB6v4tdBBZ9DGDJb1x+UPHRNnrfmekoiAxQOjPyDrU1WVKB4ArFvyQwfVFR8nbqOlBfL2i6cx9Q/9mFtToGa7MFV6oPm84jagysIVt0cUX92ng6wBANYDBaJ4Y25PcRvS9WHsnaM7VjHUHMB98Ub4BE8usaqyfdzgE668MBgG9xNPoyqyNzBDhVMUb3SHPk7VizfWnMDTThRDq3Trm0i4DABg8KaJ4pUK+bFQNaWI4k09uovi3Tny/dXk9IniLWVeWE4fqizlXvidoY9bakaqqA11yy5RPAAY9D6b3S/b/ih28FQ+EREREcUEVkyJiIiIIkzV5OOKRqLNto4VUyIiIiKKCayYEhEREUUYb34KDyumRERERBQTWDElIiIiijAV0a+YRntA/5bAiikRERERxQQmpkREREQUE3gqn4iIiCjCVChRP7XOU/lERERERBHCiikRERFRhHG4qPCwYkpEREREMYGJKRERERHFBJ7KJyIiIoowtRVO5Ue7vZbAiikRERERxQRWTHVQjQaoJn05vKW0Wjx/f5JdFK+oqu4YRVVrfraYRW0EumWJ4gEAX22VxZ8qkcUr8k+CBrvstVVdLnEbSnlV6JiAr+Z7RejYhji+PSCbwOsThVs6JsrmD8B/yfmieKXELW5DrLRcf6zPBgCwnfJCdXp1T6ZYLaIuWb/bJ4oHAKSkiMJVi/xQbhAsMwD4DxSI4o32PqJ4g+H0MbZHF6Dao2uawJZdojYAwHrSKZxAtr4BQAloongtTvgeoMnmDwCaUVaHMlZ5YDx9zDW6fDDq2F7UMNaHmNGoL86gM64FaVr0K5hhbBoxhxVTIiIiIooJrJgSERERRRivMQ0PK6ZEREREFBOYmBIRERFRTOCpfCIiIqII06BE/UlMGngqn4iIiIgoIlgxJSIiIoowDQrUKFcwWTElIiIiIooQJqZEREREFBN4Kp+IiIgowjiOaXhYMSUiIiKimMCKKREREVGEaRqiP1yUFtXmWgQrpkREREQUE1gxJSIiIoowXmMaHiamOlhOVsN6tEJfsEFehLYcKRXFa8bQbSint03F6YHi9MCff1DUhrfPCFE8AFjEU8gYExLE0wT6ZsnaOHBU3Ia/a1roGEfNq+PPTAV2HxC3ESg+JZ5GwrTrkHga38iewkbk+4ZxQB9RvFJepT/WZgUAmEqdMFV7dE+n+f2iPgXKykXxgHy5DVVucRuBJLt4GglNuL5r451d4uF06TuaxOUnivsV2LJLFK9kdBS3YS/U+X5xWmDXXlG8taKLKB4A/F1SRfHqll1QE2q2EXXbHqiVLnGbLUHrn6MvLqdTC/eEWgpP5RMRERFRTGDFlIiIiCjSNCXqNz+hHZzKZ8WUiIiIiGICK6ZEREREEaaiFW5+AiumREREREQRwcSUiIiIiGICT+UTERERRVjNk5+i32Zbx4opEREREcUEVkyJiIiIIkyDEvWbkTTe/EREREREFBmsmBIRERFFWM01plGumPIaUyIiIiKiyGBiSkREREQxgafyiYiIiCJM1VrhyU9Rbq8lsGJKRERERDGBFVMdAvmHENiVryvWe8UI8fwtH38rniaUQIK95vv+AgQqXVDOHyCa3uTyR7xPzaWkpYin8cdbZBOcKhG3YcjsEDpGqfkUa3D5xPMHAGPvHFG84g+I4rWyClE8AFhLPKJ4xSvfpqp6JYniHUf1r+9AXE2sUl4Fpcqtezp/8SlRn8JSdFIWr8irJEZVtj9pCQmieEN5tSw+ULN9mFwBmJz6tl8lKVHUBgAoTqcoXg3jmKAdPyGeRkItKRVPo3SU7UuGtFQY420AAGNqCowWe+h+5XQRtaF9u00UDwDwq/riAq1/FxAH2A8PK6ZEREREFBOYmBIRERFRTOCpfCIiIqKIU6I+jin45CciIiIioshgxZSIiIgowjQt+hXT6FdoI48VUyIiIiKKCUxMiYiIiCgm8FQ+ERERUYTxyU/hYcWUiIiIiGICK6ZEREREEcYnP4WnzSamK1aswDfffIMjR47AYrEgNzcXN998MzIzM4Mx8+bNw86dO+tNd+mll+KOO+6IdneJiIiIKIQ2m5ju3LkTkyZNQs+ePREIBLB06VI89thjeOqpp2Cz2YJxl1xyCa6//vrg7xaL8NnpRERERFJaKwzfxIpp65k7d26932fPno2ZM2fiwIED6N+/f/DvVqsVycnJUe4dEREREUm12cT0TE6nEwAQHx9f7+9ffPEFvvjiCyQnJ+P888/HtddeC6vV2uA8fD4ffD5f8HdFUWC322GLs8KRYNfVD5NdXpG16Jy3hD3BVu+7EtfwMjcm4DCL2zS0wHLUZYqXLQMAGByy9WEKYxkMOl5b++l+2B0WqGG0YRSuPyUQEMVrAVvooDOocbLXVjEbxW1owv3JEad/uYPrRPja+lt4OwcAY7xwfShhVGWEy60lyPpkEO6vtevBLljntjCOCYEorD/N72/R+Rvi5PurJlzfhngb7KdfX7vO11l6TNDCWBd638tsdvl7GMUGRdMid6ms3+9HcXExqqqq4PV6YbFYEB8fj/T0dJhMLZcDq6qKJ598EtXV1Xj00UeDf1+1ahXS09ORmpqKgwcP4o033kCvXr0wZ86cBuezfPlyvPPOO8Hfs7OzsWDBghbrNxEREbVP13z6d+wsK4pqm/2TO+G9iW37PppmZYsulwubN2/G999/j7179+LYsWNoKM9VFAWZmZno3bs3Bg8ejKFDh8Juj9yn1kWLFqGwsBCPPPJIvb9feumlwZ+7d++OlJQUPPLIIygqKkKnTp3Oms+0adMwZcqUev0GgDlTn0b+ziO6+lI9uKu4/44DpaJ4NSn0a2d3WLD037/BDVOegsvphWaQVVRMJ8pF8QCgmWWfUAP78sVtSBl7ZYvitcNHxW0oPbqFjLHHWfDGp/fjpol/hOuAvA2kJgs7JVvf0VgXSiNnKprinjBAFG+u1l+pststWP7OL/HTrnfAVemWdk2/cKqZUbi11tS9iyg+kJ4oild2HhDF2+NteHP/M6L1YdKx753FLzub4A/nmDC0nyjeUHBMFK917iiKBwDleLEo3tu/G+x2C95++2785CfPwOXyhpzGVB06pi7NKB+x0ri3UFdczsCu+PP/3S+eP7W+sBLTvLw8fPzxx/j222/h9YbeEDVNw5EjR3DkyBF89tlnsFgsGDFiBCZNmoQ+ffqE04WgRYsWYdOmTZg/fz7S0tKajO3VqxcANJqYms1mmBtIrtwuD5xV+g6UTh0771mqPaJw1aT/lKjL6YWz2gvNKExMq2R9AgDNooriA5UucRtSRuFrq4WRoCiCNlzVXjjDSYKswvUhTUyjsC4Ur2z7AAC3cH8yO+WnUF2VbjhbcvljNTEV7uMBu2xdKGEm+5L1Ec5xSpyYhrFtSI4JAGAQvlZaony5FZ3vYbW8zh/Wt8vlhdPZAompKYzEVOdr5Rb2pSVoiP69SO3g3idZYrp9+3a89dZbyMvLO3tGJhM6duyI+Ph4JCQkwG63w+l0oqqqClVVVThx4gT8p6+78Xq9WL9+PdavX4/c3Fxcf/31GDhwoKjjmqbh5ZdfxjfffIN58+ahY8fQnyALCgoAACkpKaK2iIiIiKjl6UpMi4qK8Morr+D7778P/s1sNuO8887DgAED0Lt3b+Tk5DR5HanP50N+fj7y8vKwa9cubNmyBT6fD3l5eXj00UcxZMgQ/OxnP2uwktmQRYsWYd26dbjvvvtgt9tRVlYGAHA4HLBYLCgqKsK6deswbNgwxMfH49ChQ1i8eDH69euHrKwsXW0QERERUfToSkzvvffeYLUzJycHl112GcaMGVNvvNBQzGYzcnNzkZubiylTpsDtdmPDhg1YtWoV9u/fj++//x5z5szB66+/rmt+K1euBFAziH5ds2bNwoQJE2AymbBt2zZ8+OGH8Hg8SEtLw6hRo3DNNdfo7jMRERFRODRNifo4plEfN7UF6EpM/X4/+vfvj2uvvVZ8yr0xNpsNEydOxMSJE7F9+3a8++67Zz2lqSnLly9v8v/p6emYP39+c7tJRERERFGiKzG9//77MXTo0BbrxMCBAzFw4EBs3ry5xdogIiIiihre/RQWXbfEtWRS2hrtEBEREVHsaTdPfiIiIiKKFbzGNDzyQcSIiIiIiFoAE1MiIiIiigkRPZVfUlKCw4cPo6qqCj6fT9c048ePj2QXiIiIiFqfFpWHuJ3VZlsXkcT0s88+w7///W8UFup7hm0tRVGYmBIRERERgAgkpn/961+xfv36sKbVov5RgoiIiKjlaWiFm5/Q9m9+alZi+umnn9ZLSgcOHIh+/fohOTm5yceTtjkJ8dBSEnWFmpwB8ew1i1kUbyh3ho7xB07HumCo9kCzW2Sd8nhl8QD8mSmieCVPNn9jRkfZBAACeftlbfTOEbfhT7KHjnHUvP7+RBt85/UQt2H6epcoXh2SK4pXrFZRPAAYEuJF8YHiU+I2rCfdonjj7oO6Y80JNU+uM2V3h6nKo78R4b7hP3ZcFA8Apu6ZsjYOys5WAQAMslsMDJWydRFwy+JVc80bqjKsH5Rqfa+xz2IUtQEAxgrBugZgtIVxTLDI3v+00lJRvDFddqwF5Puf4u8Gxa+e/lkN/twUbeN2URvOa0aJ4gEgfkfofgCApuqLo9jTrOxx9erVAACLxYLf/va3EXsqFBERERGde5qVmB4+fBgAcPnllzMpJSIiIqqlAYj2uKLt4ArJZg0XpSg1L3jPnj0j0hkiIiIiOnc1KzHt0KEDAMDrlV+PSERERNReaVrrfLV1zUpMR4wYAQDYvXt3RDpDREREROeuZiWmkyZNQmJiIr744gscPKj/blgiIiKidk1rpa82rlmJaVJSEv7nf/4HJpMJjz76KL766qtI9YuIiIiIzjHNHmw0NzcXf/7zn/HnP/8ZTz/9NJKTk5GdnY2EhITgzVGNURQFd955Z3O7QERERETtQLMTU6fTibfffhuHDh0CAJSVlWHz5s26p2diSkRERO2NprXCk5+iPTxVC2hWYurxePDYY49h/37Z03WIiIiIiM7UrMT0k08+CSalycnJmDRpEvr27Yvk5GSYzbLHbBIRERG1K+3gZqRoa1Zi+sUXXwAA0tLS8Ic//AFJSUkR6RQRERERnXuadVf+8ePHAdQMG8WklIiIiIiao1kVU4vFAo/Hg4yMjEj1h4iIiKjN481P4WlWxbRz584AgIqKioh0hoiIiIjOXc2qmI4dOxZ5eXnYuHEjLr/88kj1KeaUDkrGySSvrljVIp+/pbNsIm9i6E9EcbaaeZ64qAOq3V4k79XX/1oVw5JF8QBgK1dF8ZaJ54viKzvKb6gzV/cQxVsqfOI2KrJsIWP8p9dHRU8HKgKydQEApm5DxNNI2FLPE0/j7Cg7fBj88rsA4o7K1kfZ1QN0x7pPr5OSERmodutfJwGLrCJh8GeJ4gGgsruw6mHoJm7D75CtD3+ibP92dLaK4uNMNfHvLVsOaFW6phmx6TpRGwBQfDhZFG+sltdvTFWyaUwXjRHF24rl+1JgUidRvLlS++G4lW1HtdsYuo3+F8j6ZJVX95w3DNQVl9qto3jeEdcaT2JqBzdbNatieumllyI7OxtbtmzBZ599FqEuEREREdG5qFmJqclkwv3334/c3Fy88MILeOmll1BYWBipvhERERG1UUorfbVtzTqVf9dddwEAAoEANE3DqlWrsGrVKthsNsTHx+t6JOkzzzzTnC4QERERUTvRrMT05MmTDf7d7XbD7XY3Z9ZEREREdI5pVmKanp4eqX4QERERtR+8+SkszUpMn3vuuUj1g4iIiIjOcc1KTImIiIioAayYhoWJKRERERE16b333sOmTZtQUFAAk8mEV1999ayY4uJivPTSS9ixYwdsNhvGjx+PG2+8EUZj6HFwazVruCgiIiIiav/8fj9Gjx7d6AOVVFXFH/7wB/j9fjz22GOYPXs2PvvsM7z11luidpiYEhEREUWcAmhR/mrBcUyvu+46TJkyBd27d2/w/1u2bMHhw4dx9913o0ePHhg6dCiuv/56fPLJJ/D7/brb0ZWYPvXUUzh+/LjumYbj0KFDePLJJ1u0DSIiIqL2zuVywel0Br98PvnjtqXy8vLQvXt3JCcnB/82ZMgQuFwu0cOXdF1j+vXXX2Pjxo248MIL8eMf/xhdu3YVd7gxhw4dwrvvvouvv/4amtYOrtolIiIi0oCopzWn25s3bx7y8/ODf54+fTquu+66Fm26rKysXlIKAElJScH/6aUrMR04cCC2b9+OtWvXYu3atejXrx8mTJiA4cOHIz4+XndjtSoqKrBu3Tp8/vnn9V64gQMHiudFRERERD+YN29evWKf2WxuMO6NN97ABx980OS8nn76aXTp0iWi/WuKrsT0oYcewoYNG7B06VKcOHECu3btwq5du2AwGNCtWzf07t0bvXv3RmZmJuLj45GQkAC73Q6n04mqqipUVVXhyJEj2Lt3L/bt24fCwkKoqhqcf0ZGBm644QZccMEFLbagRERERFHTisNF2e12XeFXXXUVJkyY0GRMRkaGrnklJydj37599f5WXl4e/J9euoeLGjNmDEaNGoU1a9bgX//6F4qKiqCqKg4ePIiDBw9i1apVuhutlZmZiauuugrjx48XDSUQbWXn+3Aq26svWJFvhZpfeA+ajia85poLoEuH+VDl86FkqPD1VfRfqPzDJNJ76WSjlWkGNXRQszX8qbJJhtCvVby55rU5OdqPKm9A3oZ0u4rCbY2KxSOLN8j3jROq7EJ+g9mlO9ZjqlkPZT+qRrVf5/4NwGyWrT9TGNttR7vskc7JVv3LXSvDXiGK7+U4IYq/LG6nKN6gxAP4nWiaf573sigeAN7L6SeK3+PsJG7jqCtJFH/KHSeKr3BbRfEAoAZk7wFVfiM0k6Xm5ysrde0jgYDswBPwy9/3NZ27U2WK7Ph0rkpMTERiYmJE5pWbm4v33nsP5eXlwVP4W7duhd1uF10CKsoMjEYjLr30UlxyySXYunUrPvvsM2zatAlut/6DqMPhwPnnn4+LLroI5513nqR5IiIiImoFxcXFqKqqQnFxMVRVRUFBAQCgU6dOsNlsGDx4MLp27Ypnn30WN910E8rKyrBs2TJMmjSp0UsJGhLWAPuKomDw4MEYPHgw/H4/8vLysHfvXhw6dAgnT55EVVUVfD4fzGYzEhIS0KFDB3Tv3h25ubnIzc2FwcBRqoiIiKgd03B6CKcot9lC3nrrLaxduzb4+3333QcA+P3vf48BAwbAYDDg/vvvxz/+8Q88+OCDsFqtGD9+PK6//npRO81+8pPJZEL//v3Rv3//5s6KiIiIiGLQ7NmzMXv27CZjOnTogN/9TnZJzpn4SFIiIiKiSNPCuu2k2W22dTynTkREREQxgYkpEREREcUEnsonIiIiirRWHMe0LWPFlIiIiIhiAiumRERERBGnRH+4KES7vchjxZSIiIiIYgIrpkRERESRxmtMw8KKKRERERHFBCamRERERBQTeCqfiIiIKNJ4Kj8srJgSERERUUxokYqp3+9HVVUV/H4/0tPTW6KJqEpIdCIZVbpitTCGhvCrss8Hqhq6DbtJrfme7Ibq94j7pAr7BACa8JNaOK+VlMEg65TBoLZIP+ymQM33NBf8Xp94ekX4wGXpckvnDwAWk18UbzbKX1tpv8yC9ecwWgEAXVPL4Qzo30fsJtn6c5i8ongASLU4RfEdLJXiNrpYSkXxfa1HRfFDrFZRPBRhPIDOpnjxNGPt+0TxCQaXuI1DFtn7XpEtSRRf4nWI4gHA6beI4r2qMbiPZKWW6tpHPAFZSuH2y1MQX8CoKy4pMVE874hjxTQsEUtMjx49ig8//BBbtmzBiRMnAACKomDZsmX14tavX4/jx48jOTkZEydOjFTzRERERNTGRSQxff/99/HWW29BVetXK7QGSmgejwdvvfUWDAYDzj//fCQlyT4pEhEREVH71OxrTN9//30sXboUqqrCYDAgNzcXffv2bTR+7NixMJvNUFUVGzdubG7zRERERLFHU1rnq41rVmJ67NgxvPXWWwCAbt26YeHChXj00UcxZcqURqexWq0YOHAgAGDHjh3NaZ6IiIiI2pFmJaYff/wxVFWFw+HA3LlzkZmZqWu6nJwcAEBhYWFzmiciIiKKSQoARYvyV2svdAQ0KzHdvn07AGD8+PFISUnRPV3Hjh0BAMXFxc1pnoiIiIjakWYlpqdOnQLwQwVUL7vdDgBwu93NaZ6IiIiI2pFm3ZXv89WM52exyMZHq01IbTZbc5onIiIiik0cxzQszaqYJp4ewLakpEQ03eHDhwGAQ0URERERUVCzEtOsrCwAwNatW3VPo2kavvnmGwBAr169mtM8EREREbUjzTqVP3z4cGzevBlbtmzBvn37dCWaH330EYqKigAAI0aMCLvtFStW4JtvvsGRI0dgsViQm5uLm2++ud7IAF6vF0uWLMGGDRvg8/kwePBgzJw5E8nJyWG3S0REREQto1kV09q78VVVxZNPPok9e/Y0Guv3+/H+++/jtddeAwBkZmZi1KhRYbe9c+dOTJo0CY8//jgefPBBBAIBPPbYY/VuqFq8eDG+++47/OY3v8H8+fNRWlqKhQsXht0mERERkR5RHyrq9Fdb16yKqdlsxi9/+Us89thjKC8vx8MPP4zc3FzExcUFY1577TWcOnUKO3bsQEVFRXC6u+++u1kdnzt3br3fZ8+ejZkzZ+LAgQPo378/nE4nPv30U/zqV78KDug/a9Ys3HPPPcjLy0Nubm6z2iciIiKiyGpWYgoA/fv3x//8z//g2WefRVVVFfLy8ur9/9///ne93x0OB+655x7xEFOhOJ1OAEB8fDwA4MCBAwgEAhg0aFAwpkuXLkhPT280MfX5fMGRBgBAURTY7XbYTRbEmay6+qGF8TgwvyorXKtq6DbiTJZ636X0tHEmTfpJLQqPTlMMsk4ZhPF61V0f4by2ivBjsEF4LkQ6fwCwmIyieLNBFbch7ZdJ0IbDWLNP24369u1aNqNsue1G+Ykpm/C1shr84jbMBo8o3qjEyxqQbuZKXP3vLcSgmEXxZoND3IbFYBfF24TxdqN8RBtNk70XmBRDcN/Qu48YhSmFQZOnIH5F3/5nN8rWM8WOZiemADB06FAsXLgQH3zwAT7//HNUVVWdFeNwOHDhhRdi2rRpSE1NjUSzQaqq4tVXX0WfPn3QvXt3AEBZWRlMJlO96i1QMxJAWVlZg/NZsWIF3nnnneDv2dnZWLBgAV4Zc3tE+xtNa6+8t7W7QHVwfcSe5WPntXYXqA5Dx3UtOv8hLRzfHr1xwaOt3YW2qTWeXR/t9lpARBJTAEhOTsaMGTMwY8YMHD58GCdOnIDT6YTNZkNqaip69OgBg7SMo9OiRYtQWFiIRx55pFnzmTZtGqZMmRL8XVFqVvD0D9/ArtIT+mbiC2OjkG5IOoopcWYLvrn1Toxc8jyqfV7AJKyIBcJYDuEkirANLZyLZ6SbXAtdoBNntuCbm2Zh5Bt/Q7XXF3qCaDPKl1uxBGQThHHAVIyyyqGk4h1nsmDD1F/hwn89jWq/V/d0ZuFym43C1wlAnEV/fwAgySZ/WElHa6UovleczmPgaRc7doviDUoczuv2LdQTFwJata5pivxnF0FC+b/q3qL4Pc7O4jaOuGRDIZa6ZVVZp09+Jszjl1X6VdWAOJMFn11xLyZ8vFDXPuL3y/Zxv0eegmg6zzD2S+mIt6+4WTx/an0RS0zr6tq1K7p27doSsz7LokWLsGnTJsyfPx9paWnBvycnJ8Pv96O6urpe1bS8vLzRu/LNZjPM5rPL/y6/D1U+nW8UMZKY1qr2eWv6Lj3PzsS0RdSsjxhMTNUwElMlComp1nKJaa1qvxdVgsTUIjxtbtbkialilCWmloA8MXWrsmm8qlMUr2rypBFATVKqc1otjDZ8wuVwqy5xG66A7PIQZ0CWNFb75dt5OInpD+15Ue0PfemH3y874Pr88st7tIC+Npz+GDjOcoD9sLRMCTMKNE3DokWL8M033+Dhhx9Gx44d6/0/JycHRqMR27ZtC/7t6NGjKC4u5o1PRERERDGoRSqm0bBo0SKsW7cO9913H+x2e/C6UYfDAYvFAofDgYkTJ2LJkiWIj4+Hw+HAyy+/jNzcXCamRERERDGoWYnpzp07w5rOYDDAZrMhPj4e6enpYc1j5cqVAIB58+bV+/usWbMwYcIEAMCMGTOgKAoWLlwIv98fHGCfiIiIqMW1g1Pr0dasxHT+/PnN7kBcXBz69++PSZMm1RvaKZTly5eHjLFYLJg5cyaTUSIiIqI2oNVP5VdXV+Pbb7/Ft99+i7Fjx2LWrFkwmVq9W0RERERha40nMZ3zT36aPn06AKCgoAAbN24EUDPAfZ8+fZCRkQGr1QqPx4Pjx49jz549wfFNhw8fjm7duqGqqgr79u1Dfn4+AGD9+vUwGAy46667mtMtIiIiImqDmpWY/uQnP8GXX36J999/Hw6HA7fccgvGjx8PYwNPRgkEAli7di1ee+01bNmyBePGjcPo0aMBAHl5efjf//1fFBcX44svvsDll1/OG5SIiIio7eJwUWFp1nBRR48exd/+9jcAwEMPPYSJEyc2mJQCgNFoxMSJE/Hggw9CVVU8//zzOHbsGAAgNzcXv/vd74ID8H/22WfN6RYRERERtUHNSkw//vhjeL1ejBs3Djk5Obqm6dmzJ8aNGwe3242PPvoo+PeuXbtixIgRAIA9e/Y0p1tERERE1AY1KzHdsmULAKBfv36i6fr3719v+jP/XlJS0pxuEREREbUurZW+2rhmJaa1CaT0Lvra+DMT0NpHhXo8oR99RkRERETtS7MS09rnyh88eFA0XW38mc+lDwRqnild99n2RERERG1N7XBR0f5q65p1V36XLl2Ql5eHNWvW4KqrrkJCQkLIaSoqKvDpp58Gp6+ruLgYQM2QU7Ek/SsjOhfoe6nsJ33i+Qdsss8HlhJvyBiHQwP+C+i5zAOn04vyXg5ZG1WqKB4APEmy5Ug8KKuMe5LNoYPO4ItTRPG2UwFxG9DRhMMO4Dag2/8BlaqsT2ERNhEwyz+jqqaGb3RsTNr6o+I2To3NFMX7bfoXPM5mAaYD8WvioLj1b1sBi+zFNfjk7xQlabI2TtrETWC3RdavVakDRPGLO44WxceZrPi2u2gSXLNjhmwCAEWHU0XxphL526SlTLiNCA87pipZPABYPLL1HbAqMNsswBTA/FkizO7Q7ztG4SG60z75+6Vq0vfaZuQYgCni2VMMaFbFdOzYsQBqks1HHnkER482/cZz5MgRPProo6isrAQAXHjhhfX+v3fvXgBARkZGc7pFRERERG1Qsyqml112GVavXo1Dhw7h0KFDmDNnDs477zwMHDjwrAH2t2/fjq1btwZP12dlZeGyyy4LzsvtdmPr1q0AfrgJioiIiKhtUgAtCmfIzmyzjWtWYmo0GjF37lw8+uijOHz4MAKBADZv3ozNmzc3OV23bt3wwAMPBMctBYBjx45hwoQJAH6oxBIRERHRuaPZD6VPTk7GH//4R6xYsQIrV64MnqZvSHx8PCZNmoRp06addeNTdnY2srOzm9sdIiIiotbHJz+FpdmJKVBzd/11112Ha665Brt378b+/ftRWloKt9sNm82GlJQU9OzZE3379hUPLUVERERE54aIZokmkwkDBw7EwIEDIzlbIiIioralNYZvagcV02bdlU9EREREFClMTImIiIgoJkT8gk+/34/q6mr4fPoGzk1PT490F4iIiIhaF29+CktEEtMTJ07gww8/xObNm3H8+HFomr5XRlEULFu2LBJdICIiIqI2rtmJ6YYNG/D888/D6w39uLIz6U1giYiIiNqS1nh2fdRvtmoBzUpMDx06hGeeeQaqWvNcdbPZjJ49eyI1NfWscUqJiIiIiJrSrMT0n//8ZzApnThxIm655RY4HI6IdIyIiIiIzi3NSkx37twJABgwYAB+8YtfRKRDRERERO1COzi1Hm3NGi6qvLwcADBmzJiIdIaIiIiIzl3Nqpg6HA5UVFQgPj4+Uv2JSY5PtiFhc76uWMPAvvIGDhwShSs6HutqSrDVfN99EKZKN5KQLWrDVFwpigeABIvsuuLAjj2ieIeiiOIBAFG4wc44oE/IGEecteZ7YSWUE2XyRnx+Ubi/m2wYNtORElE8APgLD4viK6aNEreR+qFsG9FcLt2xjgQb8AzQYf1JxFV79LdxpEjUJ6V7pigeABS37GZSrbJK3Eag+JQo3vOjEaJ4S6ns7cXhMAJTgGuvuRZOnesjyWwUtQEAiWb96xoA8NW34jYM58neBxSnsE9hHAsDew+I4g0OR80+8mcg442tcFa6Q0+T0UHWqRY8Pjv88m0j4jhcVFiaVTHt2rUrAKC4uDginSEiIiKic1ezEtPx48cDAL755puIdIaIiIioPagdLiraX21dsxPTfv36Yc+ePfjoo48i1SciIiIiOgc1KzFVFAVz5sxB//798eqrr+Jvf/sbDh2SXS9JRERERAQ08+anu+66CwAQCAQAAGvXrsXatWths9kQHx8PJcQF2oqi4JlnnmlOF4iIiIionWhWYnry5MkG/+52u+F2h76Dj4iIiIioVrMS0/R02ZA0REREROcEDhcVlmYlps8991yk+kFERERE57hm3fxERERERBQpzaqYEhEREdHZWmNc0XN+HFMiIiIiokhhxZSIiIioJbSDCma0RTQxzcvLQ15eHkpKSuB0OqGqapPxiqLgzjvvjGQXiIiIiKiNikhiumnTJixZsgTHjh0TT8vElIiIiNodDhcVlmYnpp9++in+/ve/Q9PawavRCGNiIowpKbpiA9t3yxsI8YSsMxkcjpAx2umncWmBALRAAAavX9RGYO8BUTwAeK4cIYq3JA8RxSvrvxfFA4AhIUE2QYgqf0N8KfbQMQ5LzfdkG3A8jH3FILsc3FjpEcV7enUUxQOAuaRUFG/0yl9bzeUSxauCB3uo5pr9TvH7ofj07x9KcpKoT/D4ZPEA1GPHRfFKTndxGyaT7PDvd8nWn7moXBYfb61pJ8EKv1HnMVFvXB2GtZtF8YrVKm5DOXZKNkFKoihcTbDJ5g8AIweJwpUqD5S4mmVXuneBUq3jmFIt2181i1kUDwBa4VF9cZ1CH5cpNjUrMT116hQWLVoETdOQmJiIG2+8EX369ME999wDALjjjjvQp08fnDhxAps3b8batWvh8XgwYcIEXHvttSEfWUpERERE545mJaaffPIJ/H4/jEYjHnzwQWRlZdX7f1JSErp27YquXbti2LBhmDJlChYsWIDPPvsMdrsdt912W3OaJyIiIopJHC4qPM0aLmrHjh0AgBEjRpyVlDYkIyMDDzzwAKxWKz766CPs3LmzOc0TERERUTvSrMS0qKgIANCvX78G/+/3n33dVnp6OsaNGwcAWLNmTXOaJyIiIopNWit9tXHNSkydTicAIDk5ud7fay+q93gavlg6NzcXALBnz57mNE9ERERE7UizElOLpeZO4zPHK3Wcvmv81KmG70w0nL7DuKysrDnNExEREVE70qzENC0tDQBQUVFR7++dOnUCAOzbt6/B6Y4cOdKcZomIiIhim/bDDVDR+jrnT+V3714zdt7hw4fr/b32VP2WLVtw/Hj98fiqqqqwatUqAD8ksEREREREzUpM+/fvDwBn3V1fe3OT3+/HvHnz8Mknn2DLli345JNPcP/996OyshIAMHLkyOY0T0RERBS7eOOTWLPGMR0+fDgWLVqEI0eO4NChQ8EKao8ePXDJJZdg9erVKCkpwcsvv3zWtB07dsSPfvSj5jRPRERERO1IsxLT1NRU/P73v4fX6w3e8FRr5syZMBgMWLVq1VmPK+3Vqxd+/etfw27nI8OIiIioHWqNKmY7qJo2KzEFfjidfyaDwYCZM2di2rRp2LZtG8rKymC1WtGzZ8/gNahERERERLWanZiGkpaWhgkTJrR0M0RERETUxjXr5qfmKikpac3miYiIiFpEtIeKCg4Z1ca1SmJaVlaGl19+Gb/85S9bo3kiIiIiikEtfiq/roqKCrz//vv4z3/+A6/XG82mm0Xt1hGqUw0dCMBYliKef2DvAVl/BvUMHeM4/VSu/tlQnV6YispkfTJbRPHhqOpmE8WndMmUN2Ixi8KdfTqKmzBX+kLG1H6KVTTAf7BQ3Iaxv+y67MAO2eN+fdnyodusiQmieE1RxG0o8XGyeL9ff+zpRyf7Cwrhr3Tpnk66LpTSitBBZ/AP7yuKN3gD4jaMJ/Ud02pZj5SL4v0HCmTxCTU3w5oqPTBVN/w46zNV5iaJ2gCApG5dZf0qPBw66AyBkydF8Up32XHHWFQqigeAQGaaKF5xe6GYavZZxeOF4g79nh1ITxS1YajQv98Fp8nooCtOSZW/F0ccb34KS9iJ6dGjR3Hs2DF4vV6kp6ejW7dusNkaTjSqqqrw/vvvY+XKlfB4fjjg1D6alIiIiIhInJhu2rQJr732Go4ePVrv7w6HA5MnT8b06dOh1KmMfPjhh3jnnXdQXV0d/JvRaMS4ceMwbdq0ZnSdiIiIiNoTUWK6du1aPP/882eNSwoATqcT77zzDk6cOIHZs2fD6XTiqaeewrZt235ozGTCxRdfjKlTpyI9Pb35vSciIiKKRTyVHxbdiWl5eTlefvnlYFJqNBrRrVs3mM1mHD16NFgR/fzzz3HRRRfhvffeCz6q1GKx4LLLLsOPf/xjJCcnR34piIiIiKjN052Yrl27Fm63GwAwatQo3H777UhIqLn5QVVVfPTRR3jttdegaRqeffZZlJWVAQDGjh2LW2+9lQkpERERnTMURH/4JvktprFHd2Jae0o+IyMDv/zlL2Ey/TCpwWDAj370IxQVFWHlypXBpHTGjBmYPHlyZHtMRERERO2S7tviDx+uGTLjwgsvrJeU1jVx4sTgz71792ZSSkRERES66a6YVlVVAQAyMxsfS7JLly7Bn0eNGtWMbhERERG1Ybz5KSy6K6a1A+I3NlYpUHOTUy3edU9EREREEi325CezWfbEHSIiIqL2ojWeXR/t9lpCVB9JGkk7d+7EP//5T+Tn56O0tBRz5szByJE/PFbxueeew9q1a+tNM3jwYMydOzfaXSUiIiIiHdpsYurxeNCjRw9MnDgRf/7znxuMGTJkCGbNmhX8vbGbtoiIiIgiiteYhkWcqf3pT3+KWJyiKFi2bJm0CwCAoUOHYujQoU3GmEwmjp9KRERE1Ea0agmxoUebRtLOnTsxc+ZMxMXFYeDAgfjpT38afChAQ3w+H3w+X/B3RVFgt9ths5vhiLM0Ol1dBp9f3M9Agl02gSN0X+ynY2q/m+KtLdsnAAa7vteolsluFMU7hMsAALAIr3UWLgMAmAOhhzSuuz6UMF5bY1zLrj/pugMAR3zjN0I2RI1GGwGv7lh7gq3ed72k60LxyeYPACYd+3hdBlNA3IZR+NqihbfB4PoQLHsgrG1Kthz+MPZXKUX42hrDOBYGdL6HBdvwWGE/3S+7zv4FhMthCKiieABQLPru2bYJ9yEK7b333sOmTZtQUFAAk8mEV1999ayY66677qy//epXv8LYsWN1t9Nuz20PGTIEo0aNQseOHVFUVISlS5fiiSeewOOPPw6DoeENe8WKFXjnnXeCv2dnZ2PBggV46sWfRavbEbfsn/e0dheojrdW/Kq1u0BnWHb4763dBarjzf/c19pdoDO8vv6h1u5C29TOTuX7/X6MHj0aubm5+PTTTxuNmzVrFoYMGRL83eFwiNrRnZi+9dZbohm3trrZeffu3ZGVlYW7774bO3bswKBBgxqcZtq0aZgyZUrwd0WpqYTNmfo08nce0dVuoEuauK/GU5Wi+Oq+HUPGOOwWvLd4Fq6Z8Tc4XV44DpSJ2tDCqERoJtnD0JydZRtrwmZ966CuwKlSUXzl5Ia3jaYkFFSHjLE7LFj64b24YfJCePcXidvQ6lTy9QicKhHF+y5p+rKYhtj3F4viVYe88qR49FdAAUCN19+G3WHB0o/vxU0D74Oryq2/T4nxoj7BL69mVg/sLIqX7t8AoCYIq1sV+l8jAAjsyxfF2xNsWHb477ix592610fZj88TtQEASfuqZBPsOCBuw5DTXRSvOF2iePXkKVE8AChWYaXfYYc9zorXv30EN494GK5qT8hpAp1SZG145fuGcvCorricgd3w54/uF8+fGldbDf3ss8+ajHM4HM26jLLdVkzPlJGRgYSEBBQVFTWamJrN5gaHuXK7PHDqPFAGqmVvpABgrAq9w9fldOlvw+ny1sTrOKjUpanyj12aSfewuAAAp0u2+UlfJwAIVMoO+JLXtpZR8Nq6nF54BElQLXFiKlxun1O+3JpwfaiabPsAwkhMFXkbrio3nJWCxNQgvDwkjMRUvB0K928AUA2yD5IGYRvSbbCWZH1Uu+XbrVl6jA5jOaSvlSKMVwXba7ANr+yYrqg/7Euuag+cOvZ36fuf4pVf+qboXHa3U75PRJqC6D+7vrY9l8tV73LJxvKblrBo0SK8+OKL6NixIy677DJcfPHFwUKfHudMYnrq1ClUVVUhJUX2iY6IiIioLZk3bx7y8384azF9+vQGr/+MtOuuuw4DBw6E1WrFli1bsGjRIrjdbtEj6ttsYup2u1FU9MMp0RMnTqCgoADx8fGIj4/H22+/jVGjRiE5ORnHjx/H66+/jk6dOmHw4MGt2GsiIiKiljVv3ryzKqYNeeONN/DBBx80Oa+nn3663iPnmzJ9+vTgz9nZ2fB4PPjXv/51biSm+/fvx/z584O/L1myBAAwfvx43H777Th06BDWrl2L6upqpKam4rzzzsP111/PJ1IRERFRdLTSuKJ2u77r7a+66ipMmDChyZiMjIyw+9G7d2+8++678Pl8uvOvNpuYDhgwAMuXL2/0/3zCExEREVHjEhMTkZiY2GLzLygoQFxcnKgo2GYTUyIiIqKYpbXCs+tbsL3i4mJUVVWhuLgYqqqioKAAANCpUyfYbDZs3LgR5eXl6N27NywWC7Zu3YoVK1bgqquuErXDxJSIiIiImvTWW29h7dq1wd/vu69mzOHf//73GDBgAEwmEz755BMsXrwYmqahU6dOuPXWW3HJJZeI2mFiSkRERBRp7WyA/dmzZ2P27NmN/n/IkCH1BtYPl3zQPyIiIiKiFsDElIiIiIhiAk/lExEREUVaOzuVHy2smBIRERFRTGDFlIiIiCjClFYYLirqw1O1ACamOmipSVAznLpiDS6fvIGAKgpXzYruGNWsQPUrUBP1PQWilvbtNlF8OBzaAFG8/8jRFurJDyyVsnUBAMYjxaFj4m0134+egqdPprxfW/JDB9Vtr08vWfzmg6J4AFC7dJDFf79T3IZ2gewRwqrVqDvW77DU/JCRDsR79DdSUi7qk7/ouCgeAMw9ZK9tIEm2fwNAwCF7Cp5JCX3cqcuYnCSLT6jZRwzpaTDY9K0Pa4V8fzXkHZJN0F3foxjrOR76mFBXoLJKNv9AQBYPQOufI4o3HisBah9pqWk//NwEQ7m+98la/g4JongAUCoqdMUFqqrF86bYwFP5RERERBQTWDElIiIiijTe/BQWVkyJiIiIKCawYkpEREQUYQpa4ean6DbXIlgxJSIiIqKYwIopERERUaTxGtOwsGJKRERERDGBiSkRERERxQSeyiciIiKKMD75KTysmBIRERFRTGDFlIiIiCjSePNTWFgxJSIiIqKYwMSUiIiIiGICT+UTERERRRpP5YeFFVMiIiIiigmsmOqgHD0BJf+IvtikRPH8/YWHRfGmPhmhY9RAzffqAEzOALRvt4naMKanieIBwDswSxRv3a3vNa2lpaSI4gEAHWXLYS12iZvwFx0PHZNgr/l+/AQMHZPFbQT6dBPFG5xeUbx68qQoHgBMNqusDXELgLHSI4oP2ON0x2qGmqdK+xNt8Jv0f0Y3u2WvrWFwP1E8ACjVPlG8apcfyk3lste2uke8KD6hOvRxqp64mu3Jf/go/JX69sM4h03WBoBARYUo3piRLm+j+JR4mpZmKqkSTmCs+Trz5yYE8vaLmvD3GC7rEwCzeIrWo6AVhouKbnMtghVTIiIiIooJrJgSERERRRqvMQ0LK6ZEREREFBOYmBIRERFRTOCpfCIiIqJI0zQoWpTPrUe7vRbAiikRERERxQRWTImIiIgijTc/hYUVUyIiIiKKCUxMiYiIiCgm8FQ+ERERUYQpWis8+Ymn8omIiIiIIoMVUyIiIqKW0A4qmNHGiikRERERxQRWTImIiIgijNeYhoeJqR5JiVDSUnSF+vMPyudvMIrCzau+Cx2TYK/5vuZ7mCtdMHXtImpDq6gUxQMAFFm4Wu2UxVfK+6QO7CGKD1jlJxHMwnjDt7vEbRhys0XxgR17xG1I+QsPi+LVC4eI2zCWyLYRy4lq/bFxfgCAZlSgGfVvvJ6sVFGfFJ8qigcAc6lLFK9t2S1uQ9Nk/VJ7jxLF+5PtsniHRRQPAIrHK54GIweJwgPfbBM3oY0ZLIo35cn2pUDxKVE8APgPFIjivZOGA6fXiTO3I5zO0K+1rbhE1IbRExDFA4AxRd97sTExUTxvig08lU9EREREMYEVUyIiIqJI45OfwsKKKRERERHFBFZMiYiIiCKMNz+FhxVTIiIiIooJTEyJiIiIKCbwVD4RERFRpPHmp7CwYkpEREREMYEVUyIiIqIIU9AKNz9Ft7kWwYopEREREcUEVkyJiIiIIk3Tar6i3WYbx4opEREREcUEJqZEREREFBN4Kp+IiIgo0lrhyU8cLoqIiIiIKEJYMdXDYoZms+gK1cYOEc/e8PV2UbzSv2/oecZZa773z4Wh2gNUOWVtpKeK4gHAuGaTKF4VtyBnPlUtm6BDXMt0pA7N5xVPE9ixpwV68gPl/AHiabTvdsjizfLPwYGdeaJ4Q0KC/uAEW800fhUGv/6t0ZNoFvXJqMgHcFHtwjZyuovbCOzLF8UnbSkWxfs6xIviNYP8dfJkp4unMZe6RfG+CcPCaMMlmyBDthymOIds/gC08gpRvN9hhN9urPnZboQfxpDTKDarqA3z5v2ieABQ0lL0BSa0/LE8JA6wHxZWTImIiIgoJjAxJSIiIqKYwFP5RERERBGmaIASjWvWzmizrWPFlIiIiIhiAiumRERERJHGm5/CwoopEREREcUEJqZEREREFBN4Kp+IiIgowpRWePITb34iIiIiIooQVkyJiIiIIk3Tar6i3WYb12YT0507d+Kf//wn8vPzUVpaijlz5mDkyJHB/2uahuXLl2P16tWorq5G3759MXPmTHTu3LkVe01EREREjWmzp/I9Hg969OiB//qv/2rw/x988AE++ugj3H777XjiiSdgtVrx+OOPw+uVP6eciIiISKL2GtNof7V1bTYxHTp0KH7605/Wq5LW0jQNH374Ia655hqMGDECWVlZuOuuu1BaWopvv/22FXpLRERERKG02VP5TTlx4gTKyspw3nnnBf/mcDjQq1cv5OXlYezYsQ1O5/P54PP5gr8rigK73Q6b3QxHnFVX236HRdxfQ4JdFK/o6Iv9dD9qvxsQEHZK/pnFL1yOaDDqXG+1fC20/uwJtnrfY42ebepMmnB9B8J4bY3CNgyC19cef3qdCPtltAvjDfJnEpoDsrKHwecXtxEQvrYtvS8Fj1mCdRjONmX2yl7bcI4JZq9snSt+Ybz0eA5AU2XHnoDdAsfpbd2hc5t3xAuPb375dqvE69sObcL9lGJHu0xMy8rKAABJSUn1/p6UlBT8X0NWrFiBd955J/h7dnY2FixYgD+/9ouW6GZUvLn6vtbuAtWx7PDfW7sLdIZl/7yntbtAdXAfiT0fvPTfrd2FtqsdnFqPtnaZmIZr2rRpmDJlSvB3RVEAAPf+7B84kFekax6uzvHidm2fbRfFGxLiQsbY4614Y9uTuGnQfXBVeaDomKYu/8HDongAMPbrLYoP7Nora8BglMUDgCqrLKgXDBI3YfhyW8gYe4INyw7/HT/tegd8SaniNiCsiGnSSkR6iiwegHb0uCjekCDfN/xH9e13tUxdM3XH2uOseP2b+bh57KNwVXv09ylVthzOTIcoHgBMLtl2azvuFLeBA4WicEO6bLt15aSL4u12C95depdofZSMyBC1AQApH+8WxZdd3lfcRvJn+cIJEkTh/jTZ8RwADG7ZNuXpYIfDbsG7r8/CtTf/DU5X6PszzJWyezhMp6pF8QB033We07cz/vzmnfL5U6trl4lpcnIyAKC8vBwpKT+84ZaXl6NHjx6NTmc2m2E2m8/6u9vlhVPngdLlkp8+UCtdoniDoj9Bc1V54KxyQ1Fkq9ov7BMAGAVv7gAQkLYRjcTUKb85ziBYDlelG16j7HUCANS5xEQPcWJql/dJq3SL4g3K2ftWKNLt0FQlXw5XtQdOwXR+m2wfd7rkh1mTU7jdCvc9AIB0/dlkbbjC2JcA2fqodsvbsAqXW09CdiZLlawNmGXblN8u35cMLtkxwRP/w/HW6fLqS0yF69wUznarMzF1h7HeIo0D7Ienzd781JSOHTsiOTkZ27b9UMlyOp3Yt28fcnNzW7FnRERERNSYNlsxdbvdKCr64TTfiRMnUFBQgPj4eKSnp2Py5Ml477330LlzZ3Ts2BHLli1DSkoKRowY0Yq9JiIiIqLGtNnEdP/+/Zg/f37w9yVLlgAAxo8fj9mzZ+Pqq6+Gx+PBiy++CKfTib59++KBBx6AxcI79YiIiKiF8clPYWmziemAAQOwfPnyRv+vKAquv/56XH/99VHsFRERERGFq80mpkRERESxijc/hadd3vxERERERG0PK6ZEREREkaYh+gPss2JKRERERBQZTEyJiIiIKCbwVD4RERFRC2gPNyNFGyumRERERBQTWDElIiIiijQVgBrlkqka3eZaAhNTHRS/CsUX0BVr9Mq3CkNWF1F8YF9+6BivveZ7SSkClS6gtFzcLynF6RZOoMjiVX3roDnMpS75RImJIUOMCbaa74kJ0Gzyp49pqQmieMXpEcUHdu0VxQOAYXA/Ubx25IS4DSn/4SP6YxNq9hF//iH4K/Wvd6MtV9Qng88uigfkxxFDcRj7d3qqLF74RBnVLDshp5pq4n0dE+GL9+qaxuAXNQEA0PyyiYweeWKhGGXL7k92iOINPvn7TCBedtwxufwwKTXLYXL7YXKFft0CNllKYUiU7xsGp75tAyamN20VT+UTERERUUzgRwoiIiKiSOM4pmFhxZSIiIiIYgIrpkREREQRpmjRHy6qPQxPxYopEREREcUEVkyJiIiIIk4Tj2YRkTbbOFZMiYiIiCgmMDElIiIiopjAU/lEREREEcabn8LDiikRERERxQRWTImIiIgijQPsh4UVUyIiIiKKCUxMiYiIiCgm8FQ+ERERUYQpmgYlyuOYRru9lsCKKRERERHFBFZM9XC6oVQ6dYVaDwXEs9ccVlG8sXdO6Ji4mnkae/aAsdqDwN4DojYMg/uJ4gHAv3W3bALhJzvFJN9cjRkdRfH+HXvEbZiys0LGKPE160NJTUZgW568jc6dRPH+Y0WieG3sEFE8AKDcLQoPFJ8SN6Hnta3Hpb9PpngbAMDQPxeGao/u6VS7WdQle5G+Y0ddmkERxaunSuRtDOgpijeeqhTFm1yyY6FJqYlXVA2Kqu/YkPLNMVEbAKAJjyOJG4+I24DDLgo3lgm3kZPy9W1ISxbFqynxMCo1tSujyw+j0x9yGotwG4Ev9DzP5C88rCsuYPWJ5x1xGgC1Fdps41gxJSIiIqKYwIopERERUYTxGtPwsGJKRERERDGBiSkRERERxQSeyiciIiKKtHb05KcTJ07g3Xffxfbt21FWVobU1FSMGzcO11xzDUx1big8ePAgFi1ahP379yMxMRFXXHEFrr76alFbTEyJiIiIqFFHjx6Fpmm444470KlTJxQWFuLFF1+E2+3GrbfeCgBwOp147LHHMGjQINx+++04dOgQnn/+ecTFxeHSSy/V3RYTUyIiIqJI0zTxsIgRabMFDBkyBEOGDAn+npGRgaNHj2LlypXBxHTdunXw+/2YNWsWTCYTunXrhoKCAvz73/8WJaa8xpSIiIioHXG5XHA6ncEvny/y47o6nU7Ex8cHf8/Ly0O/fv3qndofPHgwjh49iqqqKt3zZcWUiIiIqB2ZN28e8vPzg79Pnz4d1113XcTmX1RUhI8++gi33HJL8G9lZWXo2LH+Q22Sk5OD/6ubxDaFiSkRERFRpGmA0ko3P82bNw9andP6ZnPDT6x744038MEHHzQ5y6effhpdunQJ/l5SUoLHH38cF1xwgegUvV5MTImIiIjaEbtd32Nxr7rqKkyYMKHJmIyMjODPJSUlmD9/Pvr06YM77rijXlxycjLKysrq/a3299rKqR5MTImIiIhaQow/iSkxMRGJiYm6YmuT0uzsbMyaNQsGQ/3blHJzc7F06VL4/f7gdaZbt25FZmam7tP4AG9+IiIiIqImlJSUYN68eUhPT8ett96KiooKlJWV1auQXnjhhTCZTHjhhRdQWFiIDRs24KOPPsKUKVNEbbFiSkRERBRhilrzFe02W8LWrVtRVFSEoqIi/Pd//3e9/y1fvhwA4HA48OCDD2LRokW4//77kZCQgGuvvVZ8HSoTUz1MRsCs76XSCo+2cGcAdO2soyPaD981DYbB/URNqPaGL5RuiilTR7/q8B+RvVaG7O6ieADQFEU8jZQ//2DomISa6338BYVQzBZxG77sjNBBdZhU2dGpOlXeJ9v678XTSHm7pIjijV9t1x0b8NSsE0NZBQxVHt3TqdB32quW4VSZKB4AvL1k+5IxSdYnAAhYZYd/JVn/qTgAsBwulcXHWQEAAbsJAU3f9mtyuUVtAICSkiSK9x8sFLcRi4zpwn3pWAmM8TXrxFhUCqOOfUQTDkkUOH5CFA8Axt45+uK6Z4rnTY2bMGFCyGtRASArKwuPPPJIs9riqXwiIiIiigmsmBIRERFFWjt68lM0sWJKRERERDGBFVMiIiKiSNMQHPA+qm22cayYEhEREVFMYGJKRERERDGBp/KJiIiIIkzRNChRvhkp2u21BFZMiYiIiCgmsGJKREREFHGtMFxUO7j7iRVTIiIiIooJrJgSERERRZp6+ivabbZxrJgSERERUUxgYkpEREREMYGn8omIiIgijMNFhYcVUyIiIiKKCayY6qAVn4J67Liu2MD5fcXzV9Z/L5vgwKHQ/Uiw13wvOIxApQvaBYNETZgLTsj6BECrrBJPI5q/3SKextk9URRvy9svbsOYnhY6Jt5W8z0tFUaDWdyGodQpipeuC6NHfsW8sV9vUbxmlS+3+MP/oD76Y+OsNd/NJsAc0D2ZcuioqEu+AdmieABQAsL14XKL2/DHy9aHufCUKD5w4qQoXj19zFL8GhS/vhWvOV2iNgAAKbJjgrFPL3ETmk322ipevyg+sGuvKL6mEUUWbzHXfAV/1rFNVsuOU8ZE2boAAF9mkq44f4d48bwjTkP0h4tq+wVTVkyJiIiIKDYwMSUiIiKimMBT+UREREQRxyc/hYMVUyIiIiKKCayYEhEREUUan/wUFlZMiYiIiCgmMDElIiIiopjAU/lEREREEcYnP4WHFVMiIiIiigmsmBIRERFFmtYKw0W1g4ppu01Mly9fjnfeeafe3zIzM/GXv/yldTpERERERE1qt4kpAHTr1g0PPfRQ8HeDgVcuEBERUTRwgP1wtOvE1GAwIDk5ubW7QUREREQ6tOvEtKioCL/4xS9gNpuRm5uLG2+8Eenp6Y3G+3w++Hy+4O+KosBut8PmsMKRYNPVZsBhEfdTSbDLJjAYQ4bYT/e39rsm7Jc53irrEwANflF8QPOFDqrDECfvE+yy5bZJ1wUAY3zobcN++vW0x1uhGMziNjSLbBpN5/ZayxjGdmsTrg/NKl/ugEM2jUHRf1bEfnqZ7dLl8MleW38Yry0UWbhJuL4BwCDsl114TAi4ZPuS/fR+ZBf0yxzGckN6HFHlFSjNJttuFXPoY3pdgXCOU8LlVgKB4L6hdx/R/ML1EQjI4gH4dG4fNuE6oNihaFo7uFK2AZs3b4bb7UZmZiZKS0vxzjvvoKSkBAsXLoTd3vBOfeZ1qdnZ2ViwYEG0ukxERETtxF3XPYd9u45Gtc1e/TLx7PLZUW0z0tptxXTo0KHBn7OystC7d2/MmjULX375JSZOnNjgNNOmTcOUKVOCvytKTdlizrS/IH/nEV3t+rp3EPdV+Wa7KN7Uo1vIGHucFa9veBg3j3kErmoPfBlJojbMRWWieADwHzwsilfO7y+KNx45JYoHAG92R1G85eBJcRua2xMyxh5vxRvbnsRNg+5D9dFicRvGDPl2JSKsyAIAfLIKuatPhrgJS4lbFK9a9Fee7A4L3nr/17hu+l/hcnl1T2dYt1XUJ230IFE8ABidsrMJ6tbd4jaUwf3E00hoW3aJ4u0JNiw7/HfcMHkhXE5960PbLGsDADyThoni43YUiduQbuumKtn6Vr6WvWcA+t436tKsFtjjLHhjze9w08V/gKta/z6ilxrWmTl9cnpn4OkXfyaeP7W+dpuYnikuLg6ZmZkoKmr8IGM2m2E2n/0G7XZ64KzS9wbp03lArUupdIniTVWhE6FarmoPnFUe+BJk/TIL2qjlFy6HIjzQGXWug7q8wvXhD2O5Nbf+frmqPHAKXycAMMbJ+yViCeMBy9LENIx9w18tW27VLz+kuVxeOAV9MwjXnxbGchuF+4YaxjalCF9bKS2MPgE124lTZ9/CacMj+BACAEoYxwTptm4SfhCRvmcAsvcNAND8P6SArmr960RCVYTXrADQdE7idste0xahIvrPro92ey3gnLlN3e12o6ioiDdDEREREcWodlsxXbJkCYYPH4709HSUlpZi+fLlMBgMuPDCC1u7a0RERETUgHabmJaUlOB///d/UVlZicTERPTt2xePP/44EhMTW7trRERE1N5pWvSfXd8O7mdvt4npr3/969buAhEREREJtNvElIiIiKj18MlP4Thnbn4iIiIiotjGiikRERFRpKlaWE8Oa3abbRwrpkREREQUE5iYEhEREVFM4Kl8IiIiokjTWuHmp3YwXBQrpkREREQUE1gxJSIiIoo0Da1QMY1ucy2BiakO/qx0eL0BXbGWg6fk8xfGB1LjQ8fEWWu+p8QjYDHDtPeoqA01I03YKwAGoyjcl2ARxWvHikTxAGDKSJW1Ee8QtxE4Evq1DXjtNd9LSqH5pWscUJMTRPEGp1sUr1U7RfEAgGTZU9TsO4+Jmwh0lq0/85ES/bHxNfuIeWchzFX6Xy99R4I6wrhL1pdsE8Vb0uX7a2DzDlG8Z/IIUbx1syg8KGAzIaCqumLNuT3F8ze69M27lr/wsLgNQ6+OonjTftm+ERg5SBQPAP5vtonijR06AO7T2+GpckDHPqIIj5+BtDhRPACYdxfqijPGyd6PKHbwVD4RERERxQRWTImIiIgijk9+CgcrpkREREQUE1gxJSIiIoo0PvkpLKyYEhEREVFMYMWUiIiIKNI0teYr2m22cayYEhEREVFMYGJKRERERDGBp/KJiIiIIo1PfgoLK6ZEREREFBNYMSUiIiKKNK0VhouK+oD+kceKKRERERHFBCamRERERBQTeCqfiIiIKNI0rRVufuKpfCIiIiKiiGDFVIeAyYCAWV8OH0hPlDdQIAtX/KGf7FAbo/hVKH4VgZMnRW2YTEZZpwCoakAUr0Thk13AbhbFGxSlhXryA2OHDuJppK9UICVOFO/vnipsATBVeUXxhhOnxG0YKuyieK20XH+s31bz3eOB5vbons7UtYuoTwG3XxQPAJpFVjNQrFZxG8rQAaJ4c4VPFG8Y3E8WH3d6GRSl5ksHzSbbvwHAcsopijd07iRuIyDcYRWbbP1pZvnxWXxkq/vUIp1PMNJOlYqasLjc0l7BX6zvOBIoC+O9ONJYMQ0LK6ZEREREFBNYMSUiIiKKNFZMw8KKKRERERHFBCamRERERBQTeCqfiIiIKNI0DVBD3zQW8TbbOFZMiYiIiCgmsGJKREREFGm8+SksrJgSERERUUxgYkpEREREMYGn8omIiIgijafyw8KKKRERERHFBFZMiYiIiCJN0wCVFVMpVkyJiIiIKCawYkpEREQUaZoGTeMA+1JMTHWwlHlgLXbpijWUV4vnrzocsvitu0PHJNhrvm/Pg1rpgqlzJ1Eb/mNFovhoMHXKEE+jVbhF8Z6MeHEb0p3Ic153cRvWoipRvFLlEcV7u8WJ4gHAcrhUFK/YrOI2UK1vv6sV6JOlO1aNswAAlO5doFQLXq+ySlGftM07RPEAYMnpIYpXS8vEbRgcNlG8dDm08wfI4k01J/CMHj+Mbr+uaVSbWdQGABg8+uZdK1Ai284BwHIySTaBQXby0rTvqGz+AALSCVKSgLjT+2xyImDWsf8Kl8PVTfg6ATAXHRdPQ20LT+UTERERUUxgxZSIiIgo0tRWuPkp2u21AFZMiYiIiCgmsGJKREREFGkcYD8srJgSERERUUxgYkpEREREMYGn8omIiIgiTVMBNdrjmEa5vRbAiikRERERxQRWTImIiIgiTUMr3PwU3eZaAiumRERERBQTWDElIiIiijBNVaFF+RrTaLfXElgxJSIiIqKYwMSUiIiIiGICT+UTERERRVwrPPmpHdz9xIopEREREcUEVkx1UE6UQjlyUldsoKJC3sDAXqJw0/Gy0DHx1prvmZ1gqvJA8/lkfVIUWTwg/mRodPlF8f7jJ0TxAKCcKhXFG5P6idsw5vYMHRNXsz6MvbIRsMg/DyrVLlG8VlYuirenOETxABDYly+epsVlpuoOrd1aA7v2IlApeH1HDpL16chRWTwA/4EC8TRiafGicOPJJFG8cqpSNn+PFwDgTrXBbde3jzj2l4jaAAB/umy5Daq8AhXYmSebYJRwm/rqoCwekB/TK6oA9fQxurIaqHKHbsJsFjVhKbXK+gQAVn3TKBaLfN6Rpmo1X9Fus41jxZSIiIiIYgITUyIiIiKKCTyVT0RERBRpmhb9Z9dH/WaryGPFlIiIiIhiAiumRERERBGmqRq0KN+MFO32WgIrpkREREQUE5iYEhEREVFM4Kl8IiL6//buPKypK/0D+DchLEF2lb0IyE4Rf1ZRQQTRunRotY4ytnZ03Jg+oqPj47Qz0zqFPqJ2Zqw+U52ZtmrVR1sFl4ooLijgAooWFAERUUEsQsAsgKxZfn+kuZNICEQDCeH9/JXce+49L7kob957zrmEEJ2T9v/kJ/R3f7pHFVNCCCGEEGIQqGJKCCGEEKJjMmn/T0bq9wJtHzD6xPTMmTM4efIkhEIhRowYgaVLl8LHR7tHgBJCCCGEDFY8Hg9Hjx5FcXExhEIhHBwcEBkZiblz54LD4TBtVq1a1eXYjRs3ws/Pr9d9GXVimpubi/3792PFihXw9fXFqVOnkJycjO3bt8PWVrvnPhNCCCGE9JpMD2NM+6i/mpoayGQyxMfHw9nZGdXV1fj666/R1taGRYsWqbTdsGEDXnvtNea9lZWVVn0ZdWKanp6OqVOnYsqUKQCAFStWoKCgAFlZWZgzZ45+gyOEEEIIGQBGjx6N0aNHM++dnJxQU1ODc+fOdUlMra2tYWdn99J9GW1iKhaL8fDhQ5UElM1mIyQkBOXl5WqP6ezsRGdnJ/OexWKBy+Vi5OvusLA061W/0uct2gfr7aZVczbfvsc2Flx5vIFjPNHW2gGIJVr1IREO1ao9AO0fhRb0Ws9tlJl29tzmBSwT7X7FpQFaxgSAI2rtsY051xQAEPh/HhDZW2jdh4WVpXYHNDdr1VzymrN25wcATof2x/S1wN5fP3OLX67JRD+0t7T3SR8AADPtf2/7hZb//kzsTbU7v5ZVEotfrsfrAa5oa+/dZ2ZhZ6NdTADEtlyt2rPNtK9AySRi7Q7Q9nfqZf7tsVhaNTexs4P5L3/3Asd6ob2lF31yTLTqQ+pgrVV7AIBN7/pw832J/9N0zCNQu7/tuuyztbUVMqW/yaampjA11fLfcA9aWlrUVkO/+OILdHZ2wsXFBbNnz8bYsWO1Oi9LJjOCB6uqwefz8eGHH3YZ23DgwAGUlpZi06ZNXY5JSUnBkSNHmPcRERFYs2ZNv8RLCCGEEPKqxGIxVq9ejWfPnjHb5s2bh7i4OJ31UVtbi48//hi//e1vMW3aNABAY2MjLl26BH9/f7BYLFy/fh1paWn405/+pFVyarQV05fx7rvvIjY2VmVbZ2enzr9l9IfW1lYkJiYiMTERXK52FQKie3Q9DA9dE8NC18Pw0DUZmGQyGbZu3aqyrbs85uDBgzhx4oTG823btg1ubv+r/vL5fCQnJ2PixIlMUgoANjY2KjmUj48PBAIB0tLSKDEF5B8Qm82GUChU2S4UCrsd+9AXpW59kclkePToEYy0ID7g0PUwPHRNDAtdD8ND12Rg0iaXefvttxEdHa2xjZOTE/Oaz+cjKSkJ/v7+iI+P7/H8Pj4+KCoq6lUsCkabmHI4HHh7e6O4uBhhYWEAAKlUiuLiYsycOVPP0RFCCCGE6JeNjQ1sbHo3VluRlHp5eWHlypVgs3t+RlNlZSXs7XueF6PMaBNTAIiNjcXOnTvh7e0NHx8fnD59Gu3t7T1+OyCEEEIIIXJ8Ph+JiYkYPnw4Fi1ahMbGRmaf4i50dnY2OBwOvLy8AADXr19HVlYWPvzwQ636MurENDw8HI2NjUhJSYFQKISnpyf++te/vtIyBgOFqakp5s2bZzRDEwY6uh6Gh66JYaHrYXjomhCFoqIi1NbWora2tkuimZKSwrw+evQoGhoawGaz4ebmhj/+8Y+YMGGCVn0Z7ax8QgghhBAysPQ8QIAQQgghhJB+QIkpIYQQQggxCJSYEkIIIYQQg0CJKSGEEEIIMQhGPSt/MOLxeDh69CiKi4shFArh4OCAyMhIzJ07FxzO/y53VVUVdu/ejQcPHsDGxgYzZ87E7Nmz9Ri58Tp27BgKCgpQWVkJDoeDvXv3dmnT0NCAb7/9FiUlJbCwsEBUVBTef/99mJho9+xp0jtnzpzByZMnIRQKMWLECCxduhQ+Pj76DmtQKC0tRVpaGh49egSBQID169cza00D8kXdU1JScOHCBTx//hwBAQFYvnw5XFxc9Bi18Tp+/Djy8/Px888/w8zMDH5+fvjggw/g6urKtOno6MD+/fuRm5uLzs5OhIaGYvny5YNihRvS/6hiamRqamogk8kQHx+PL7/8EosXL8b58+fx/fffM21aWlqwceNGDBs2DFu2bMEHH3yA1NRUZGZm6jFy4yUWizFhwgRMnz5d7X6pVIrNmzdDLBZj48aNSEhIQHZ2Ng4fPtzPkQ4Oubm52L9/P+bNm4cvvvgCI0aMQHJyMkQikb5DGxTa29vh6emJZcuWqd1/4sQJZGRkYMWKFdi0aRPMzc2RnJyMjo6Ofo50cCgtLcWMGTOQnJyMTz/9FBKJBBs3bkRbWxvTZt++ffjpp5+wbt06JCUlQSAQdHnkJSE6IyNG78SJE7KEhATm/dmzZ2W/+93vZJ2dncy2AwcOyNasWaOH6AaPrKws2eLFi7tsLygokMXFxckEAgGz7ezZs7JFixapXCOiG3/5y19ku3btYt5LJBJZfHy87Pjx4/oLapCaP3++7Pr168x7qVQqW7FihezEiRPMtufPn8vef/992ZUrV/QR4qAjEolk8+fPl5WUlMhkMvnnv2DBAlleXh7T5smTJ7L58+fL7t27p68wiRGjiukg0NLSAisrK+Z9eXk5AgMDVW7th4aGoqamBs3NzfoIcVArLy+Hh4eHym2x0aNHo7W1FdXV1foLzAiJxWI8fPgQISEhzDY2m42QkBCUl5frMTICyIciCYVCjBo1itlmaWkJHx8fuj79pKWlBQCYvxkPHz6ERCJR+Tfj5uaGYcOG0TUhfYISUyNXW1uLjIwMTJs2jdkmFAq7jA1SvBcKhf0XHAGg/nrY2toy+4juNDY2QiqVqv39p89a/xTXQPH7r2Bra0vXpx9IpVLs3bsX/v7+8PDwACC/JhwOB0OGDFFpS9eE9BWa/DRAHDx4ECdOnNDYZtu2bXBzc2Pe8/l8JCcnY+LEiSqJKXl1L3M9CCHEkO3evRvV1dX4/PPP9R0KGcQoMR0g3n77bURHR2ts4+TkxLzm8/lISkqCv78/4uPjVdqpqw4p3tMsy97R9npoYmdnh4qKCpVtiok4dD10y8bGBmw2W+3vP33W+qe4BiKRCPb29sx2kUgET09P/QQ1SOzevRsFBQVISkrC0KFDme12dnYQi8V4/vy5StVUJBLRvxnSJygxHSBsbGxgY2PTq7aKpNTLywsrV64Em606YsPPzw8//PADxGIxM860qKgIrq6uKmNRSfe0uR498fPzw7FjxyASiZhbmEVFReByuXB3d9dJH0SOw+HA29sbxcXFzBJFUqkUxcXFmDlzpp6jI46OjrCzs8OdO3eYRLSlpQUVFRXdrmpBXo1MJsOePXuQn5+PxMREODo6quz39vaGiYkJ7ty5gwkTJgCQr/7S0NAAPz8/fYRMjBwlpkaGz+cjMTERw4cPx6JFi9DY2MjsU3y7nTRpElJTU/Hf//4Xs2fPRnV1NTIyMrB48WI9RW3cGhoa0NzcjIaGBkilUlRWVgIAnJ2dYWFhgdDQULi7u2PHjh1YuHAhhEIhDh06hBkzZsDU1FS/wRuh2NhY7Ny5E97e3vDx8cHp06fR3t7eYwWc6EZbWxtqa2uZ9zweD5WVlbCyssKwYcPw1ltv4dixY3BxcYGjoyMOHToEe3t7jBs3To9RG6/du3fjypUr+Oijj8Dlcpm7CZaWljAzM4OlpSViYmKwf/9+WFlZwdLSEnv27IGfnx8lpqRPsGQymUzfQRDdyc7Oxr///W+1+1JSUpjXygvsW1tbY+bMmZgzZ04/RTm47Ny5Ezk5OV22f/bZZwgODgYA1NfXY9euXSgpKYG5uTmioqKwcOFCWmC/j5w5cwZpaWkQCoXw9PTEkiVL4Ovrq++wBoWSkhIkJSV12R4VFYWEhARmgf3MzEy0tLQgICAAy5YtU1nwnehOXFyc2u0rV65kvqwpFti/evUqxGIxLbBP+hQlpoQQQgghxCDQclGEEEIIIcQgUGJKCCGEEEIMAiWmhBBCCCHEIFBiSgghhBBCDAIlpoQQQgghxCBQYkoIIYQQQgwCJaaEEEIIIcQgUGJKCCGEEEIMAiWmhAxiCQkJiIuLQ0JCgr5D6RGPx0NcXBzi4uKwc+dOfYfzypqbm7Fs2TLExcUhIyND3+H0u7NnzyIuLg5Lly5FU1OTvsMhhBgISkwJ6UN79uxhkqm9e/e+1Dk2b97MnOPs2bO6DdDI5OfnIyUlBSkpKXj+/Lm+w9Ho0KFDaGpqgrOzM9588019h6PR9u3bdf4FZtq0aXB2dkZzczN++OEHnZ2XEDKwUWJKSB+KiYlhXl++fBlisVir4/l8Pm7fvg0AMDU1xaRJk3Qan7G5ceMGjhw5giNHjhh0YlpTU4MLFy4AAObMmQMOh6PniLonFotRWFgIABg3bpzOzmtiYoI5c+YAAC5evIiamhqdnZsQMnBRYkpIH/L09ISXlxcAoKmpCTdv3tTq+EuXLkEqlQIAxo8fjyFDhug8xoHC0dGRqYYOhKEHmqSmpkIikcDe3h6TJ0/WdzgaFRcXo7W1FQAwduxYnZ578uTJsLe3h1QqRUpKik7PTQgZmCgxJaSPKVdNs7OztTo2KytL7XnIwMXj8ZCXlwdAfk0NuVoKgPkyZWVlhcDAQJ2em8PhYMqUKQCAa9euob6+XqfnJ4QMPJSYEtLHJk2aBFNTUwDArVu3IBAIenVcWVkZnj59CkBeLQwODu6zGEn/yczMZKrgUVFReo5GM5lMxiSmY8aMgYmJic77UHwGUqkU58+f1/n5CSEDi2F/VSfECAwZMgTjx4/HlStXIJVKkZOTw4yt00S5WhodHQ0Wi9WlTWVlJbKyslBaWoqGhga0t7fD2toanp6eGD9+PKKionSWTBQXFyMnJwdlZWUQCoUAADs7O/j7+yMqKgohISG9PldhYSHy8vJQXl4OoVCI9vZ2WFpaws3NDQEBAQgPD4enp6fKMTweD6tWrQIgT2aUb+fv3LkTOTk5Ku0VbZUFBQUhMTERZ86cwZ49ewAACxYswNy5c3uMOTU1FampqQCA5cuXY/r06b3+eRWkUikuXboEABgxYgScnZ27bavu5xUKhcjIyMDNmzfR0NAADocDNzc3zJw5ExMnTlT5HXn8+DFOnz6Nu3fv4tmzZzAzM4Ovry/eeeedXn/JefDgAfh8PgD1t/GlUilyc3ORm5uLyspKiEQiAPLqqo2NDVxcXBAcHIzw8HBYW1ur7cPFxQUjRoxAVVUVLl26hAULFoDNppoJIYMVJaaE9IOYmBhcuXIFgPx2fk+JaVtbG3O7l8ViITo6WmV/Z2cndu3ahezsbMhkMpV9AoEAAoEAhYWFOHXqFD766CM4OTm9dOzt7e346quvkJ+f32VfXV0d6urqcOnSJYSFhWH16tUwNzfv9lwNDQ3Yvn07ysvLu+xrampCWVkZysrK8OOPP2Lv3r2wtLR86bg1mTx5Mg4ePIj29nZcuHAB7777rtrEX0EqleLixYsAAAsLC0RGRr5UvxUVFUyiFxQUpNWxZWVl2Lp1K5P8KW8vKytDcXExVqxYARaLhczMTOzevRsSiYRp19HRgcLCQhQWFvY6sVZUS01NTTF69GiVfU1NTdiyZQvu37/f5TjF72BVVRWuXbuG9vZ2vPPOO932ExQUhKqqKvD5fFRUVMDPz6/H2AghxokSU0L6QXBwMJycnFBXV4eamhrcu3cP/v7+3bbPy8tDW1sbAGDUqFEYNmwYs08ikWDTpk0oKSkBANjb2yMiIgIeHh4wNzfHs2fPkJ+fj7KyMlRXV+Ozzz7D3//+d9jY2Ggdt1QqxebNm1FaWgpAnpRFR0dj5MiRYLFYqKioQHZ2Ntra2pCfn48tW7Zgw4YNaitedXV1+PTTT1WqauHh4fD29oalpSWam5tRWVmJwsJC1NfXd0m4NZk1axbGjRuHjIwM5nOJj4/v8jMr3ltaWiIyMhKZmZmor6/H7du3uyReygoKCvDs2TMAQEREBLhcbq9jU3br1i3mta+vb6+Pa2howD/+8Q+0tLQgOjoaQUFBMDU1xYMHD3Du3Dl0dHQgMzMTfn5+4HK5+Oabb2BtbY0pU6bA09MTEokEBQUFzJed7777DsHBwXBzc9PY740bNwAAISEhsLCwUNn39ddfM0np0KFDERERAWdnZ1hZWaGtrQ21tbUoLy/H3bt3e/z5fH19mbVcb926RYkpIYMYJaaE9AMWi4UpU6bg0KFDAOS36TUlpsqTpBSTQxQOHz7MJF9Tp07FkiVLYGZmptImNjYWp0+fxt69e8Hn87F371784Q9/0Dru9PR0JikdPnw4PvvsMzg6OjL7J0+ejNjYWCQlJaG+vh4lJSU4efIkZs+erXIeqVSqUu0bO3YsVq1a1W1FtKCggBmX2xve3t7w9vZmEilAntArx/qi6dOnIzMzE4B83KemxFTRDsArrTlaUVHBvNYmMS0pKYGVlRWSk5Ph7e3NbI+IiMAbb7yBzz//HDKZDKmpqWhra8PIkSPxySefwMrKimkbFRUFNzc3HDlyBBKJBBkZGVi+fHm3fdbW1qK6uhpA19v4IpGI+az9/f2xYcOGLr+DCo2NjWhsbNT48yknouoqsISQwYMG8hDST6Kjo5lKYl5eHtrb29W2q62tZapM1tbWCAsLY/aJRCKcOnUKgLyK9fvf/77bhOCtt95i1j3Nzc1lbiH3llgsRnp6OgB5Yr127Vq1iZ6joyPWrFnD3ApPT0/vsl7rtWvXUFlZCQDw8vLCunXrNN6mHzNmTLc/l654enoyCdFPP/3EjJt9UUNDA1PpVCTAL+vx48cA5LPRtR1esXTpUrV9BwcH4/XXXwcA1NfXo62tDevWrVNJShXmzJnDVD4V6+N2R3Ebn8VidUlM6+rqmIr2pEmTNF4rGxsbuLu7a+zL0dGR+SKi+IwIIYMTJaaE9BMHBweEhoYCAFpbW3Ht2jW17RRjGQH5H33l5YRyc3PR2dkJABrH7Ckoz3i+c+eOVvEqJiYB8jGAmip8fn5+zIQakUiEsrIylf2KCT8AMH/+fINZIkkxzlIikah87souXrzIzKKfNm3aS/clFouZFRm0XY/W1tYW4eHh3e4PCAhgXr/xxhsYPny42nZmZmYYOXIkAPnkqo6Ojm7PqaiI+vr6ws7OTmWf8m39hw8f9hh/bygSaaFQqDEuQohxM4y/DoQMElOmTGGeopOVldVluSDlWdtA17VLlcfriUQitROSlClXSZ88eaJVrMq3VBUJtSahoaEoLi5mjlVU8YD/xa1uEo0+TZgwAfv27UNTUxMuXrzYZRKUVCplVkfgcrmv9OSt58+fM1XG7maod8fb21vjTHXlxNHHx0fjuWxtbQHIl4JqaWlRW+1sbGzEvXv3AKifje/u7g4HBwfw+XxkZWVBKpVi6tSp8PPze+kZ9dbW1hAIBBrjIoQYP0pMCelHY8eOhY2NDRobG3H37l3U1dWp3NK9ffs2k0yOHDkSI0aMUDleeQHyHTt2aNV3c3OzVu2V11t1cXHpsb1yG+VjW1tbmScHOTs7G0y1FJBXEKdMmYK0tDTweDwUFRWpJOHKk54mTZrUZQKQNhSVbgBaT57qKZFVHo+r7hZ+d227q0wWFBQwVWLloSQKbDYb8fHx2Lp1Kzo7O5GTk4OcnBxwuVz4+vrC398fISEh8Pf317jagTLlz4QqpoQMXnQrn5B+xOFwmEdQymQylbVKAdW1S1+c9ATglZ7//uK4z54oVgUAoHEJKAXlpE35WEVS+mIbQzFt2jQmeVKe5PTi+1eZ9ASoJoQtLS1aHdvb5A6ATtYAVVTiXV1d4erqqrbNmDFjsHnzZkyYMIH5stHa2oqioiKkpqbib3/7G1avXq1yB0AT5c+EqqWEDF6GU7ogZJCIiYlhJhXl5OQgLi4ObDYbTU1NzIQTMzMztbeNlRO7ffv2vfSyRb2h3Fd3E7WUKSejyscqx6jcxlA4Oztj1KhRuH37Nm7evAmhUAg7OzuVSU8+Pj5dFvzX1pAhQ8BisSCTybSuXvenjo4OZjzyuHHjNLb18PDAunXr0NbWhnv37uH+/fu4e/cuysrK0NnZCR6Phx07dqCurg7z58/XeC7FZ8JisbQeg0sIMR5UMSWkn7m7uzMTiZ49e8aMy7x8+TJT1QwLC1M7a93BwYF5rbjF3Ffs7e2Z14pHo2qi3EY5Ti6Xy/wstbW1Wldu+8OMGTMAyCdBKarWupr0pMDhcJjPxZAT06KiIuaLSE+JqYKFhQVCQ0Mxb948bNiwAbt27cJvfvMbZv+xY8e6XfVAQfGZ2NnZabVUGCHEuFBiSogeKE9qUswGV1679MVJTwrKTwtSTKLqK8qz8IuKinpsr7z80IsTcBSzxjs7O1UWmdc1bW55KxszZgyGDh0KQH49xGIxk6BaWloiIiJCJ/F5eHgAkCfAtbW1Ojmnrilu49va2vY4kao7XC4Xv/71r5mJUxKJRO3TvhTq6uqYMbgvjqsmhAwulJgSogfh4eHMuM0bN26guLiYWefTycmp22eZR0REMNWk9PT0HhcufxV+fn5M1bSkpERlcfgXVVRUMIv+29nZqSxfBEBl9YGUlJQ+q5p2N861J2w2m6mK1tXVYf/+/UxFOjIysldjbHtDOdnX9Hnqi1QqRUFBAQD5RL1XHa+qvO6tovqsjvIKENo8eIAQYnwoMSVED7hcLiZOnAhAXkX86quvmH3R0dHdVv6GDh2KWbNmAZDPfE9OTkZdXZ3GviorK/HNN99oHSOHw8GvfvUrAPKJWtu3bwePx+vSjsfjYfv27cxSSLGxsV1m3o8fPx5eXl5MPF9++aXGCUC3bt16qZnZyonQo0ePtDp26tSpMDExAQCcOXOG2f6qk56UKS+VZYhPOCovL2e+7Gi6jX/r1i2kp6drHJIgEolw/fp15r2mSqhyNbU3S5MRQowXTX4iRE9iYmKY2/eK5ZVYLBaio6M1Hvfee++hqqoKt2/fxqNHj7B27VqMHTsWgYGBsLOzg0wmQ1NTEx4/foySkhI8ffqUWd5HW7GxsSgoKEBpaSl4PB7Wr1+P6Oho+Pj4gMVioaKiAtnZ2czM++DgYMTGxnY5D5vNxrp16/DJJ5+gsbERN2/exKpVqxAeHg5vb29YWlqiubkZ1dXVKCgoQF1dHb777jutZ2ePGjWKeX3gwAGIRCK4uroyibKVlVW3t6ft7OwQFhbGPE8ekFeNFbffdWHkyJEYNmwYGhoamLHFhkRxG9/CwkJlHdoXCYVC7N+/HwcPHkRwcDB8fX3h5OQECwsLNDU1oaqqClevXmVWkZg4caLGJccU69w6ODi89PABQohxoMSUED0JCAiAq6srampqmG2hoaHMWMfumJiY4OOPP8b333+PjIwMSCQSXL9+XaU69aKeztkdNpuNP//5z9ixYwfy8/PR1tamUk1UFhYWhtWrV3d7+9fJyQmbNm3Ctm3b8ODBAzQ3N+PcuXPd9v0y40U9PDwQGRmJy5cvQyQS4cCBAyr7g4KCkJiY2O3x06dPV0lMdTHpSRmLxUJkZCSOHz+O6upqVFZWvvJsf11SrAoRGhraqy8FEokERUVFGscgT5gwAStXrux2f21tLaqqqgDIh03oYrkrQsjARYkpIXoUExOjkjypW7tUHQ6Hg0WLFmHWrFnIyspiKqPNzc1gsViwtraGi4sLfH19ERoaisDAwJeO0cLCAuvXr0dxcTGys7Nx7949Zoa1ra0tAgICEBUVhZCQkB7P5ejoiE2bNuHGjRu4du0aysvLIRKJIBaLYWVlBVdXVwQGBmLSpElqVyXojYSEBAQFBeHq1auorq5Gc3MzJBJJr44NCAiAmZkZOjo6MGTIEI2PAX1Zb775JtLS0iCRSJCTk2MwiemTJ0+YCVk9zcaPioqCu7s77ty5g/v37+Pnn3+GQCBAR0cHzM3NMWzYMPj6+mLy5MkqE/bUycnJASD/EqTLYROEkIGJJVMMDCOEkEEuPz8f//znPwEAs2bNwpIlS/qkn3/961+4cuUKbG1t8Z///McgnoZ17NgxHDp0CCYmJvj22297fIKULojFYiQkJEAgECA8PBxr167t8z4JIYaN7pkQQsgvzp8/z7zuy+rdvHnzYGJiApFI1OVpU/qiuI0fEBDQL0kpIF+7VyAQgM1m97gAPyFkcKDElBBCAJSWljJrsYaGhsLd3b3P+nJ1dcXUqVMBAMePH9f7s+EFAgEePHgAoPeL6r8qiUSCH3/8EYB8SIubm1u/9EsIMWz6v39ECCF60NHRgdLSUkgkElRXV+PkyZMA5BOUlJ9a1FcWLFiAvLw8CAQCnDt3Tu1qBv3F3t4ehw8f7tc+MzMz8fTpU1hZWeG9997r174JIYaLxpgSQgYlHo+HVatWddk+e/ZsLFy4UA8REUIIoYopIWTQ43K5cHV1xaxZsxAZGanvcAghZNCiiikhhBBCCDEINPmJEEIIIYQYBEpMCSGEEEKIQaDElBBCCCGEGARKTAkhhBBCiEGgxJQQQgghhBgESkwJIYQQQohBoMSUEEIIIYQYBEpMCSGEEEKIQfh/Lth+O9VEx1gAAAAASUVORK5CYII=\n"
},
"metadata": {}
}
],
"source": [
"vels = np.linspace(-max_vel, max_vel, M)\n",
"\n",
"range_doppler = fftshift(np.abs(fft2(cpi_single.T))) / (N / 2)\n",
"\n",
"extent = [-max_vel, max_vel, ranges.min(), ranges.max()]\n",
"\n",
"fig, ax = plt.subplots(figsize=(8, 8))\n",
"range_doppler_plot = ax.imshow(\n",
" 10 * np.log10(range_doppler),\n",
" aspect=\"auto\",\n",
" extent=extent,\n",
" origin=\"lower\",\n",
" vmax=2,\n",
" vmin=-25,\n",
")\n",
"ax.set_ylim([0, 40])\n",
"ax.set_title(\"Range Doppler Spectrum\", fontsize=24)\n",
"ax.set_xlabel(\"Velocity (m/s)\", fontsize=22)\n",
"ax.set_ylabel(\"Range (m)\", fontsize=22)\n",
"# ax.set_ylabel(\"Frequency (MHz)\", fontsize=22)\n",
"fig.colorbar(range_doppler_plot)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "wxDuZVO_ORQC"
},
"source": [
"## Multiple Targets\n",
"With multiple targets, the signal equation becomes\n",
"\n",
"\\begin{equation}\n",
" \\sum_{m=1}^{M} \\sum_{n=1}^{N} \\sin{\\left( 2 \\pi f_{beat,n} t + m\\Delta \\phi_n \\right)}\n",
"\\end{equation}\n",
"\n",
"where $N$ is the number of targets in the scan volume, and $M$ is the number of chirps in the CPI."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"id": "PKBOj8f-ORQC"
},
"outputs": [],
"source": [
"def db_to_lin(x):\n",
" return 10 ** (x / 10)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "ikshKzkIORQC",
"outputId": "a31229db-ae10-4dd9-b2ed-3e25691b70a7"
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Targets: \n",
"\t1: distance = 20.00 m, velocity = 10.00 m/s, relative power = 0.0 dB\n",
"\t2: distance = 20.00 m, velocity = -8.00 m/s, relative power = -5.0 dB\n",
"\t3: distance = 10.00 m, velocity = 5.00 m/s, relative power = -10.0 dB\n"
]
}
],
"source": [
"# Add, remove, or edit these targets and see what it does\n",
"targets = [\n",
" (20, 10, 0), # Target 1 @ 20 m with a velocity of 10 m/s and 0 dB relative power\n",
" (20, -8, -5), # Target 2 @ 20 m with a velocity of -8 m/s and -5 dB relative power\n",
" (10, 5, -10), # Target 3 @ 10 m with a velocity of 5 m/s and -10 dB relative power\n",
"]\n",
"\n",
"sep = \"\\n\\t\"\n",
"print(\n",
" f\"Targets:\",\n",
" sep\n",
" + sep.join(\n",
" [\n",
" f\"{idx}: distance = {r:.2f} m, velocity = {v:.2f} m/s, relative power = {p:.1f} dB\"\n",
" for idx, (r, v, p) in enumerate(targets, start=1)\n",
" ]\n",
" ),\n",
")"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 745
},
"id": "OEr-YiMmORQC",
"outputId": "c74a013f-1cb6-4f09-bebc-dd12306a733b"
},
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 800x800 with 2 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
],
"source": [
"cpi = np.array(\n",
" [\n",
" (\n",
" np.sum(\n",
" [\n",
" np.sin(2 * pi * compute_f_beat(r) * t + m * compute_phase_diff(v))\n",
" * db_to_lin(p)\n",
" for r, v, p in targets\n",
" ],\n",
" axis=0,\n",
" )\n",
" + np.random.normal(0, 0.1, N)\n",
" )\n",
" * window\n",
" for m in range(M)\n",
" ]\n",
")\n",
"\n",
"range_doppler = fftshift(np.abs(fft2(cpi.T))) / (N / 2)\n",
"\n",
"extent = [-max_vel, max_vel, ranges.min(), ranges.max()]\n",
"\n",
"fig, ax = plt.subplots(figsize=(8, 8))\n",
"range_doppler_plot = ax.imshow(\n",
" 10 * np.log10(range_doppler),\n",
" aspect=\"auto\",\n",
" extent=extent,\n",
" origin=\"lower\",\n",
" vmax=2,\n",
" vmin=-25,\n",
")\n",
"ax.set_ylim([0, 40])\n",
"ax.set_title(\"Range Doppler Spectrum\", fontsize=24)\n",
"ax.set_xlabel(\"Velocity (m/s)\", fontsize=22)\n",
"ax.set_ylabel(\"Range (m)\", fontsize=22)\n",
"# ax.set_ylabel(\"Frequency (MHz)\", fontsize=22)\n",
"fig.colorbar(range_doppler_plot)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "Rb-O8HxrORQD"
},
"source": [
"## Example showing how the 2 targets at $R=20$ m are indistinguishable using only the Range-FFT spectrum\n",
"\n",
"Note the decreased / increased magnitude of the target at $R = 20$ m due to the phase causing destructive or constructive interference.\n",
"Will depend on what random $n$ is plotted."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 501
},
"id": "533OBUopORQD",
"outputId": "3f59e038-8e23-4488-d524-0ae329ba858d"
},
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
],
"source": [
"cpi_range_ffts = fft(cpi, n=fft_len, axis=1)\n",
"X_k = fftshift(cpi_range_ffts[n])\n",
"X_k /= N / 2\n",
"X_k = np.abs(X_k)\n",
"X_k = 10 * np.log10(X_k)\n",
"\n",
"fig, ax = plt.subplots()\n",
"ax.set_title(\n",
" f\"Range-FFT Spectum with 3 Targets\\n\"\n",
" f\"$R =\\\\ $[{', '.join([str(r) for r, v,p in targets])}], $n = {n}$\"\n",
")\n",
"\n",
"ax.plot(ranges, X_k)\n",
"ax.set_xlabel(\"Range (m)\")\n",
"ax.set_ylabel(\"Magnitude\")\n",
"ax.set_xlim([0, 40])\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "hSq6QKlFORQI"
},
"source": [
"## Takeaways\n",
"\n",
"Normally we wouldn't be able to differentiate between the two targets at 20m, but since they have different velocities, they are separable!\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "GvIlUfMOORQI"
},
"source": [
"## Example of detecting a moving target using only range"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "V4yJ_Q7_ORQI",
"outputId": "4ef41364-d96b-427b-84d1-436c90818142"
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"A target traveling at 22.37 mph (10.00 m/s) measured with a\n",
"radar operating with a sweep time of 40.00 us\n",
"would incur a pulse-to-pulse range delta of only\n",
"0.0004 m and beat frequency delta of 106.74 Hz.\n",
"\n",
"This range delta is much smaller than the system's range resolution (234.21x): 0.0004 m << 0.0937 m\n"
]
}
],
"source": [
"# speed_mph = 25 # mph\n",
"# speed = speed_mph * mph\n",
"speed = 10 # m/s\n",
"speed_mph = speed / mph\n",
"range_delta = speed * Tc\n",
"f_beat_delta = compute_f_beat(range_delta)\n",
"print(\n",
" f\"A target traveling at {speed_mph:.2f} mph ({speed:.2f} m/s) measured with a\\n\"\n",
" f\"radar operating with a sweep time of {Tc*1e6:.2f} us\\n\"\n",
" f\"would incur a pulse-to-pulse range delta of only\\n\"\n",
" f\"{range_delta:.4f} m and beat frequency delta of {f_beat_delta:.2f} Hz.\"\n",
")\n",
"print(\n",
" f\"\\nThis range delta is much smaller than the system's range resolution ({range_resolution/range_delta:.2f}x): {range_delta:.4f} m << {range_resolution:.4f} m\"\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "V8i7BSg0ORQI"
},
"source": [
"## Surface Plotting"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"id": "PLGJlf2lORQJ"
},
"outputs": [],
"source": [
"plot_vel = (-20, 20) # m/s\n",
"plot_range = (0, 40) # m\n",
"\n",
"v_ind = np.where((vels > plot_vel[0]) & (vels < plot_vel[1]))[0]\n",
"vx = vels[v_ind[0] : v_ind[-1]]\n",
"\n",
"r_ind = np.where((n_ranges > plot_range[0]) & (n_ranges < plot_range[1]))[0]\n",
"ry = n_ranges[r_ind[0] : r_ind[-1]]\n",
"\n",
"rdz = range_doppler[r_ind[0] : r_ind[-1], v_ind[0] : v_ind[-1]]\n",
"\n",
"X, Y = np.meshgrid(vx, ry, indexing=\"xy\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 841
},
"id": "3HJdCOFCORQJ",
"outputId": "2aac5897-1b97-41a3-b94f-e633fe989b4b"
},
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 1000x1000 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
],
"source": [
"fig = plt.figure(figsize=(10, 10))\n",
"ax = fig.add_subplot(111, projection=\"3d\")\n",
"ax.plot_surface(X, Y, 10 * np.log10(rdz), cmap=cm.coolwarm, antialiased=False)\n",
"ax.set_zlim(-25, 10)\n",
"ax.set_title(\"Range-Doppler Surface Plot\", fontsize=24)\n",
"ax.set_xlabel(\"Velocity (m/s)\", fontsize=22)\n",
"ax.set_ylabel(\"Range (m)\", fontsize=22)\n",
"ax.set_zlabel(\"Magnitude (dB)\", fontsize=22)\n",
"ax.view_init(elev=30, azim=-50, roll=0)\n",
"ax.set_box_aspect(None, zoom=0.85)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "M5sg1a2eORQH"
},
"source": [
"## Challenge Problem\n",
"\n",
"To get the range-Doppler spectrum, we take the 2-dimensional Fourier Transform.\n",
"This gives us a spectrum of powers received at certain ranges and velocities.\n",
"In this notebook, there are cells computing the range-FFT spectrum, or the powers received by targets at different ranges, but we skipped from that straight to the 2D range-Doppler spectrum.\n",
"\n",
"What if you wanted the spectrum of velocities at a single range? Say $R = 20$ m where there are two targets at differing velocities.\n",
"\n",
"There are multiple ways to compute this, but you should get a plot showing the different targets and their velocities.\n",
"\n",
"Once you compute it, try changing the `targets` variable and test if your output makes sense. Try changing the velocities, adding more targets, changing their relative powers, etc.\n",
"\n",
"If you come up with an answer, post an image on [LinkedIn and tag me](https://tinyurl.com/linked-in-nb) or post a comment on the [YouTube video](https://tinyurl.com/doppler-video-nb)!"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "1DZ7dl-TORQH"
},
"source": [
"### Velocity Spectrum Example\n",
"\n",
"Below is an example output if you want a reference, but yours could differ depending on your method.\n",
"\n",
"Note how my example is shown with $M = 40$ which gives a pretty rough plot. You could increase this to get something cleaner, like our range-FFT spectrum. You could also play with windowing.\n",
"\n",
"[Click here to go to the velocity spectrum example](https://drive.google.com/uc?id=16u8hSTEiVSYVzseBoSNo3FTi5ME4B8s7)"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "my-manim-environment",
"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": "3.12.3"
},
"colab": {
"provenance": [],
"include_colab_link": true
}
},
"nbformat": 4,
"nbformat_minor": 0
}
@Unknown6656

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