diff --git a/doc/examples/animations-pulsating-sphere.ipynb b/doc/examples/animations-pulsating-sphere.ipynb index f8b1e22..4503d49 100644 --- a/doc/examples/animations-pulsating-sphere.ipynb +++ b/doc/examples/animations-pulsating-sphere.ipynb @@ -1,359 +1,490 @@ { - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Animations of a Pulsating Sphere" - ] + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "kernelspec": { + "display_name": "Python [default]", + "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": "3.5.6" + }, + "colab": { + "name": "animations-pulsating-sphere.ipynb", + "provenance": [], + "include_colab_link": true + } }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "import sfs\n", - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "from IPython.display import HTML" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "In this example, the sound field of a pulsating sphere is visualized.\n", - "Different acoustic variables, such as sound pressure,\n", - "particle velocity, and particle displacement, are simulated.\n", - "The first two quantities are computed with\n", - "\n", - "- [sfs.fd.source.pulsating_sphere()](../sfs.fd.source.rst#sfs.fd.source.pulsating_sphere) and \n", - "- [sfs.fd.source.pulsating_sphere_velocity()](../sfs.fd.source.rst#sfs.fd.source.pulsating_sphere_velocity)\n", - "\n", - "while the last one can be obtained by using\n", - "\n", - "- [sfs.fd.displacement()](../sfs.fd.rst#sfs.fd.displacement)\n", - "\n", - "which converts the particle velocity into displacement.\n", - "\n", - "A couple of additional functions are implemented in\n", - "\n", - "- [animations_pulsating_sphere.py](animations_pulsating_sphere.py)\n", - "\n", - "in order to help creating animating pictures, which is fun!" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "import animations_pulsating_sphere as animation" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# Pulsating sphere\n", - "center = [0, 0, 0]\n", - "radius = 0.25\n", - "amplitude = 0.05\n", - "f = 1000 # frequency\n", - "omega = 2 * np.pi * f # angular frequency\n", - "\n", - "# Axis limits\n", - "figsize = (6, 6)\n", - "xmin, xmax = -1, 1\n", - "ymin, ymax = -1, 1\n", - "\n", - "# Animations\n", - "frames = 20 # frames per period" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Particle Displacement" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "grid = sfs.util.xyz_grid([xmin, xmax], [ymin, ymax], 0, spacing=0.025)\n", - "ani = animation.particle_displacement(\n", - " omega, center, radius, amplitude, grid, frames, figsize, c='Gray')\n", - "plt.close()\n", - "HTML(ani.to_jshtml())" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Click the arrow button to start the animation.\n", - "`to_jshtml()` allows you to play with the animation,\n", - "e.g. speed up/down the animation (+/- button).\n", - "Try to reverse the playback by clicking the left arrow.\n", - "You'll see a sound _sink_.\n", - "\n", - "You can also show the animation by using `to_html5_video()`.\n", - "See the [documentation](https://matplotlib.org/api/_as_gen/matplotlib.animation.ArtistAnimation.html#matplotlib.animation.ArtistAnimation.to_html5_video) for more detail.\n", - "\n", - "Of course, different types of grid can be chosen.\n", - "Below is the particle animation using the same parameters\n", - "but with a [hexagonal grid](https://www.redblobgames.com/grids/hexagons/)." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "def hex_grid(xlim, ylim, hex_edge, align='horizontal'):\n", - " if align is 'vertical':\n", - " umin, umax = ylim\n", - " vmin, vmax = xlim\n", - " else:\n", - " umin, umax = xlim\n", - " vmin, vmax = ylim\n", - " du = np.sqrt(3) * hex_edge\n", - " dv = 1.5 * hex_edge\n", - " num_u = int((umax - umin) / du)\n", - " num_v = int((vmax - vmin) / dv)\n", - " u, v = np.meshgrid(np.linspace(umin, umax, num_u),\n", - " np.linspace(vmin, vmax, num_v))\n", - " u[::2] += 0.5 * du\n", - "\n", - " if align is 'vertical':\n", - " grid = v, u, 0\n", - " elif align is 'horizontal':\n", - " grid = u, v, 0\n", - " return grid" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "grid = hex_grid([xmin, xmax], [ymin, ymax], 0.0125, 'vertical')\n", - "ani = animation.particle_displacement(\n", - " omega, center, radius, amplitude, grid, frames, figsize, c='Gray')\n", - "plt.close()\n", - "HTML(ani.to_jshtml())" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Another one using a random grid." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "grid = [np.random.uniform(xmin, xmax, 4000),\n", - " np.random.uniform(ymin, ymax, 4000), 0]\n", - "ani = animation.particle_displacement(\n", - " omega, center, radius, amplitude, grid, frames, figsize, c='Gray')\n", - "plt.close()\n", - "HTML(ani.to_jshtml())" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Each grid has its strengths and weaknesses. Please refer to the\n", - "[on-line discussion](https://github.com/sfstoolbox/sfs-python/pull/69#issuecomment-468405536)." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Particle Velocity" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "amplitude = 1e-3\n", - "grid = sfs.util.xyz_grid([xmin, xmax], [ymin, ymax], 0, spacing=0.04)\n", - "ani = animation.particle_velocity(\n", - " omega, center, radius, amplitude, grid, frames, figsize)\n", - "plt.close()\n", - "HTML(ani.to_jshtml())" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Please notice that the amplitude of the pulsating motion is adjusted\n", - "so that the arrows are neither too short nor too long.\n", - "This kind of compromise is inevitable since\n", - "\n", - "$$\n", - "\\text{(particle velocity)} = \\text{i} \\omega \\times (\\text{amplitude}),\n", - "$$\n", - "\n", - "thus the absolute value of particle velocity is usually\n", - "much larger than that of amplitude.\n", - "It should be also kept in mind that the hole in the middle\n", - "does not visualizes the exact motion of the pulsating sphere.\n", - "According to the above equation, the actual amplitude should be\n", - "much smaller than the arrow lengths.\n", - "The changing rate of its size is also two times higher than the original frequency." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Sound Pressure" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "amplitude = 0.05\n", - "impedance_pw = sfs.default.rho0 * sfs.default.c\n", - "max_pressure = omega * impedance_pw * amplitude\n", - "\n", - "grid = sfs.util.xyz_grid([xmin, xmax], [ymin, ymax], 0, spacing=0.005)\n", - "ani = animation.sound_pressure(\n", - " omega, center, radius, amplitude, grid, frames, pulsate=True,\n", - " figsize=figsize, vmin=-max_pressure, vmax=max_pressure)\n", - "plt.close()\n", - "HTML(ani.to_jshtml())" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Notice that the sound pressure exceeds\n", - "the atmospheric pressure ($\\approx 10^5$ Pa), which of course makes no sense.\n", - "This is due to the large amplitude (50 mm) of the pulsating motion.\n", - "It was chosen to better visualize the particle movements\n", - "in the earlier animations.\n", - "\n", - "For 1 kHz, the amplitude corresponding to a moderate sound pressure,\n", - "let say 1 Pa, is in the order of micrometer.\n", - "As it is very small compared to the corresponding wavelength (0.343 m),\n", - "the movement of the particles and the spatial structure of the sound field\n", - "cannot be observed simultaneously.\n", - "Furthermore, at high frequencies, the sound pressure\n", - "for a given particle displacement scales with the frequency.\n", - "The smaller wavelength (higher frequency) we choose,\n", - "it is more likely to end up with a prohibitively high sound pressure.\n", - "\n", - "In the following examples, the amplitude is set to a realistic value 1 $\\mu$m.\n", - "Notice that the pulsating motion of the sphere is no more visible." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "amplitude = 1e-6\n", - "impedance_pw = sfs.default.rho0 * sfs.default.c\n", - "max_pressure = omega * impedance_pw * amplitude\n", - "\n", - "grid = sfs.util.xyz_grid([xmin, xmax], [ymin, ymax], 0, spacing=0.005)\n", - "ani = animation.sound_pressure(\n", - " omega, center, radius, amplitude, grid, frames, pulsate=True,\n", - " figsize=figsize, vmin=-max_pressure, vmax=max_pressure)\n", - "plt.close()\n", - "HTML(ani.to_jshtml())" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Let's zoom in closer to the boundary of the sphere." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "L = 10 * amplitude\n", - "xmin_zoom, xmax_zoom = radius - L, radius + L\n", - "ymin_zoom, ymax_zoom = -L, L" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "grid = sfs.util.xyz_grid([xmin_zoom, xmax_zoom], [ymin_zoom, ymax_zoom], 0, spacing=L / 100)\n", - "ani = animation.sound_pressure(\n", - " omega, center, radius, amplitude, grid, frames, pulsate=True,\n", - " figsize=figsize, vmin=-max_pressure, vmax=max_pressure)\n", - "plt.close()\n", - "HTML(ani.to_jshtml())" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "This shows how the vibrating motion of the sphere (left half)\n", - "changes the sound pressure of the surrounding air (right half).\n", - "Notice that the sound pressure increases/decreases (more red/blue)\n", - "when the surface accelerates/decelerates." - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python [default]", - "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": "3.5.6" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "view-in-github", + "colab_type": "text" + }, + "source": [ + "\"Open" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "YEYiTL2IewUD", + "colab_type": "text" + }, + "source": [ + "# Animations of a Pulsating Sphere" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "yPbEsKbNew5j", + "colab_type": "code", + "colab": {} + }, + "source": [ + "# Install sfs package\n", + "!pip install sfs" + ], + "execution_count": 0, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "kUXfsF0WewUF", + "colab_type": "code", + "colab": {} + }, + "source": [ + "import sfs\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from IPython.display import HTML" + ], + "execution_count": 0, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "Y6arVzutewUJ", + "colab_type": "text" + }, + "source": [ + "In this example, the sound field of a pulsating sphere is visualized.\n", + "Different acoustic variables, such as sound pressure,\n", + "particle velocity, and particle displacement, are simulated.\n", + "The first two quantities are computed with\n", + "\n", + "- [sfs.fd.source.pulsating_sphere()](../sfs.fd.source.rst#sfs.fd.source.pulsating_sphere) and \n", + "- [sfs.fd.source.pulsating_sphere_velocity()](../sfs.fd.source.rst#sfs.fd.source.pulsating_sphere_velocity)\n", + "\n", + "while the last one can be obtained by using\n", + "\n", + "- [sfs.fd.displacement()](../sfs.fd.rst#sfs.fd.displacement)\n", + "\n", + "which converts the particle velocity into displacement.\n", + "\n", + "A couple of additional functions are implemented in\n", + "\n", + "- [animations_pulsating_sphere.py](animations_pulsating_sphere.py)\n", + "\n", + "in order to help creating animating pictures, which is fun!" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "QcZa5canewUK", + "colab_type": "code", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 310 + }, + "outputId": "e011f0ed-5871-402d-88e6-a61dcf8aa054" + }, + "source": [ + "import sfs.fd.source.pulsating_sphere as animation" + ], + "execution_count": 6, + "outputs": [ + { + "output_type": "error", + "ename": "ModuleNotFoundError", + "evalue": "ignored", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mModuleNotFoundError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0;32mimport\u001b[0m \u001b[0msfs\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfd\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msource\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mpulsating_sphere\u001b[0m \u001b[0;32mas\u001b[0m \u001b[0manimation\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", + "\u001b[0;31mModuleNotFoundError\u001b[0m: No module named 'sfs.fd.source.pulsating_sphere'; 'sfs.fd.source' is not a package", + "", + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0;32m\nNOTE: If your import is failing due to a missing package, you can\nmanually install dependencies using either !pip or !apt.\n\nTo view examples of installing some common dependencies, click the\n\"Open Examples\" button below.\n\u001b[0;31m---------------------------------------------------------------------------\u001b[0m\n" + ] + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "lO-QPAUaewUM", + "colab_type": "code", + "colab": {} + }, + "source": [ + "# Pulsating sphere\n", + "center = [0, 0, 0]\n", + "radius = 0.25\n", + "amplitude = 0.05\n", + "f = 1000 # frequency\n", + "omega = 2 * np.pi * f # angular frequency\n", + "\n", + "# Axis limits\n", + "figsize = (6, 6)\n", + "xmin, xmax = -1, 1\n", + "ymin, ymax = -1, 1\n", + "\n", + "# Animations\n", + "frames = 20 # frames per period" + ], + "execution_count": 0, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "2023xfdDewUP", + "colab_type": "text" + }, + "source": [ + "## Particle Displacement" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "waeg0mlwewUQ", + "colab_type": "code", + "colab": {} + }, + "source": [ + "grid = sfs.util.xyz_grid([xmin, xmax], [ymin, ymax], 0, spacing=0.025)\n", + "ani = animation.particle_displacement(\n", + " omega, center, radius, amplitude, grid, frames, figsize, c='Gray')\n", + "plt.close()\n", + "HTML(ani.to_jshtml())" + ], + "execution_count": 0, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "2Rit-_81ewUT", + "colab_type": "text" + }, + "source": [ + "Click the arrow button to start the animation.\n", + "`to_jshtml()` allows you to play with the animation,\n", + "e.g. speed up/down the animation (+/- button).\n", + "Try to reverse the playback by clicking the left arrow.\n", + "You'll see a sound _sink_.\n", + "\n", + "You can also show the animation by using `to_html5_video()`.\n", + "See the [documentation](https://matplotlib.org/api/_as_gen/matplotlib.animation.ArtistAnimation.html#matplotlib.animation.ArtistAnimation.to_html5_video) for more detail.\n", + "\n", + "Of course, different types of grid can be chosen.\n", + "Below is the particle animation using the same parameters\n", + "but with a [hexagonal grid](https://www.redblobgames.com/grids/hexagons/)." + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "tXODFqzCewUU", + "colab_type": "code", + "colab": {} + }, + "source": [ + "def hex_grid(xlim, ylim, hex_edge, align='horizontal'):\n", + " if align is 'vertical':\n", + " umin, umax = ylim\n", + " vmin, vmax = xlim\n", + " else:\n", + " umin, umax = xlim\n", + " vmin, vmax = ylim\n", + " du = np.sqrt(3) * hex_edge\n", + " dv = 1.5 * hex_edge\n", + " num_u = int((umax - umin) / du)\n", + " num_v = int((vmax - vmin) / dv)\n", + " u, v = np.meshgrid(np.linspace(umin, umax, num_u),\n", + " np.linspace(vmin, vmax, num_v))\n", + " u[::2] += 0.5 * du\n", + "\n", + " if align is 'vertical':\n", + " grid = v, u, 0\n", + " elif align is 'horizontal':\n", + " grid = u, v, 0\n", + " return grid" + ], + "execution_count": 0, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "oPTpgy_QewUX", + "colab_type": "code", + "colab": {} + }, + "source": [ + "grid = hex_grid([xmin, xmax], [ymin, ymax], 0.0125, 'vertical')\n", + "ani = animation.particle_displacement(\n", + " omega, center, radius, amplitude, grid, frames, figsize, c='Gray')\n", + "plt.close()\n", + "HTML(ani.to_jshtml())" + ], + "execution_count": 0, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "IbOJKokyewUZ", + "colab_type": "text" + }, + "source": [ + "Another one using a random grid." + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "Pw13X2eQewUa", + "colab_type": "code", + "colab": {} + }, + "source": [ + "grid = [np.random.uniform(xmin, xmax, 4000),\n", + " np.random.uniform(ymin, ymax, 4000), 0]\n", + "ani = animation.particle_displacement(\n", + " omega, center, radius, amplitude, grid, frames, figsize, c='Gray')\n", + "plt.close()\n", + "HTML(ani.to_jshtml())" + ], + "execution_count": 0, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "47kWByaOewUd", + "colab_type": "text" + }, + "source": [ + "Each grid has its strengths and weaknesses. Please refer to the\n", + "[on-line discussion](https://github.com/sfstoolbox/sfs-python/pull/69#issuecomment-468405536)." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "oyZvKxKVewUd", + "colab_type": "text" + }, + "source": [ + "## Particle Velocity" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "YXYXY2FcewUf", + "colab_type": "code", + "colab": {} + }, + "source": [ + "amplitude = 1e-3\n", + "grid = sfs.util.xyz_grid([xmin, xmax], [ymin, ymax], 0, spacing=0.04)\n", + "ani = animation.particle_velocity(\n", + " omega, center, radius, amplitude, grid, frames, figsize)\n", + "plt.close()\n", + "HTML(ani.to_jshtml())" + ], + "execution_count": 0, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "7kWHaDGMewUi", + "colab_type": "text" + }, + "source": [ + "Please notice that the amplitude of the pulsating motion is adjusted\n", + "so that the arrows are neither too short nor too long.\n", + "This kind of compromise is inevitable since\n", + "\n", + "$$\n", + "\\text{(particle velocity)} = \\text{i} \\omega \\times (\\text{amplitude}),\n", + "$$\n", + "\n", + "thus the absolute value of particle velocity is usually\n", + "much larger than that of amplitude.\n", + "It should be also kept in mind that the hole in the middle\n", + "does not visualizes the exact motion of the pulsating sphere.\n", + "According to the above equation, the actual amplitude should be\n", + "much smaller than the arrow lengths.\n", + "The changing rate of its size is also two times higher than the original frequency." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "QxRfPsLMewUj", + "colab_type": "text" + }, + "source": [ + "## Sound Pressure" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "Y8n_m0jlewUn", + "colab_type": "code", + "colab": {} + }, + "source": [ + "amplitude = 0.05\n", + "impedance_pw = sfs.default.rho0 * sfs.default.c\n", + "max_pressure = omega * impedance_pw * amplitude\n", + "\n", + "grid = sfs.util.xyz_grid([xmin, xmax], [ymin, ymax], 0, spacing=0.005)\n", + "ani = animation.sound_pressure(\n", + " omega, center, radius, amplitude, grid, frames, pulsate=True,\n", + " figsize=figsize, vmin=-max_pressure, vmax=max_pressure)\n", + "plt.close()\n", + "HTML(ani.to_jshtml())" + ], + "execution_count": 0, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "zcfzuwlyewUp", + "colab_type": "text" + }, + "source": [ + "Notice that the sound pressure exceeds\n", + "the atmospheric pressure ($\\approx 10^5$ Pa), which of course makes no sense.\n", + "This is due to the large amplitude (50 mm) of the pulsating motion.\n", + "It was chosen to better visualize the particle movements\n", + "in the earlier animations.\n", + "\n", + "For 1 kHz, the amplitude corresponding to a moderate sound pressure,\n", + "let say 1 Pa, is in the order of micrometer.\n", + "As it is very small compared to the corresponding wavelength (0.343 m),\n", + "the movement of the particles and the spatial structure of the sound field\n", + "cannot be observed simultaneously.\n", + "Furthermore, at high frequencies, the sound pressure\n", + "for a given particle displacement scales with the frequency.\n", + "The smaller wavelength (higher frequency) we choose,\n", + "it is more likely to end up with a prohibitively high sound pressure.\n", + "\n", + "In the following examples, the amplitude is set to a realistic value 1 $\\mu$m.\n", + "Notice that the pulsating motion of the sphere is no more visible." + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "md66iizIewUp", + "colab_type": "code", + "colab": {} + }, + "source": [ + "amplitude = 1e-6\n", + "impedance_pw = sfs.default.rho0 * sfs.default.c\n", + "max_pressure = omega * impedance_pw * amplitude\n", + "\n", + "grid = sfs.util.xyz_grid([xmin, xmax], [ymin, ymax], 0, spacing=0.005)\n", + "ani = animation.sound_pressure(\n", + " omega, center, radius, amplitude, grid, frames, pulsate=True,\n", + " figsize=figsize, vmin=-max_pressure, vmax=max_pressure)\n", + "plt.close()\n", + "HTML(ani.to_jshtml())" + ], + "execution_count": 0, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "g5-uISbHewUr", + "colab_type": "text" + }, + "source": [ + "Let's zoom in closer to the boundary of the sphere." + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "O2XVAD9fewUs", + "colab_type": "code", + "colab": {} + }, + "source": [ + "L = 10 * amplitude\n", + "xmin_zoom, xmax_zoom = radius - L, radius + L\n", + "ymin_zoom, ymax_zoom = -L, L" + ], + "execution_count": 0, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "8RJ1Pn3yewUu", + "colab_type": "code", + "colab": {} + }, + "source": [ + "grid = sfs.util.xyz_grid([xmin_zoom, xmax_zoom], [ymin_zoom, ymax_zoom], 0, spacing=L / 100)\n", + "ani = animation.sound_pressure(\n", + " omega, center, radius, amplitude, grid, frames, pulsate=True,\n", + " figsize=figsize, vmin=-max_pressure, vmax=max_pressure)\n", + "plt.close()\n", + "HTML(ani.to_jshtml())" + ], + "execution_count": 0, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "efs0M59CewUz", + "colab_type": "text" + }, + "source": [ + "This shows how the vibrating motion of the sphere (left half)\n", + "changes the sound pressure of the surrounding air (right half).\n", + "Notice that the sound pressure increases/decreases (more red/blue)\n", + "when the surface accelerates/decelerates." + ] + } + ] +} \ No newline at end of file diff --git a/doc/examples/mirror-image-source-model.ipynb b/doc/examples/mirror-image-source-model.ipynb index c436dd2..16a29cd 100644 --- a/doc/examples/mirror-image-source-model.ipynb +++ b/doc/examples/mirror-image-source-model.ipynb @@ -1,169 +1,323 @@ { - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Mirror Image Sources and the Sound Field in a Rectangular Room" - ] + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "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": "3.7.2+" + }, + "colab": { + "name": "mirror-image-source-model.ipynb", + "provenance": [], + "include_colab_link": true + } }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "import matplotlib.pyplot as plt\n", - "import numpy as np\n", - "import sfs" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "L = 2, 2.7, 3 # room dimensions\n", - "x0 = 1.2, 1.7, 1.5 # source position\n", - "max_order = 2 # maximum order of image sources\n", - "coeffs = .8, .8, .6, .6, .7, .7 # wall reflection coefficients" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## 2D Mirror Image Sources" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "xs, wall_count = sfs.util.image_sources_for_box(x0[0:2], L[0:2], max_order)\n", - "source_strength = np.prod(coeffs[0:4]**wall_count, axis=1)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "from matplotlib.patches import Rectangle" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "fig, ax = plt.subplots()\n", - "ax.scatter(*xs.T, source_strength * 20)\n", - "ax.add_patch(Rectangle((0, 0), L[0], L[1], fill=False))\n", - "ax.set_xlabel('x / m')\n", - "ax.set_ylabel('y / m')\n", - "ax.axis('equal');" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Monochromatic Sound Field" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "omega = 2 * np.pi * 1000 # angular frequency" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "grid = sfs.util.xyz_grid([0, L[0]], [0, L[1]], 1.5, spacing=0.02)\n", - "P = sfs.fd.source.point_image_sources(omega, x0, grid, L,\n", - " max_order=max_order, coeffs=coeffs)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "sfs.plot2d.amplitude(P, grid, xnorm=[L[0]/2, L[1]/2, L[2]/2]);" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Spatio-temporal Impulse Response" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "fs = 44100 # sample rate\n", - "signal = [1, 0, 0], fs" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "grid = sfs.util.xyz_grid([0, L[0]], [0, L[1]], 1.5, spacing=0.005)\n", - "p = sfs.td.source.point_image_sources(x0, signal, 0.004, grid, L, max_order,\n", - " coeffs=coeffs)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "sfs.plot2d.level(p, grid)\n", - "sfs.plot2d.virtualsource(x0)" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "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": "3.7.2+" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "view-in-github", + "colab_type": "text" + }, + "source": [ + "\"Open" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "YHjhMNlkeW6f", + "colab_type": "text" + }, + "source": [ + "# Mirror Image Sources and the Sound Field in a Rectangular Room" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "tsQG51QNeYPr", + "colab_type": "code", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 141 + }, + "outputId": "4c4cdd03-dc00-4cc3-a55e-398caea202cb" + }, + "source": [ + "# Install sfs package\n", + "!pip install sfs" + ], + "execution_count": 1, + "outputs": [ + { + "output_type": "stream", + "text": [ + "Collecting sfs\n", + "\u001b[?25l Downloading https://files.pythonhosted.org/packages/db/c2/1b5cfad42a65d8e879989787dc9c7f587972b87a882a61eb8792306491db/sfs-0.5.0-py3-none-any.whl (71kB)\n", + "\r\u001b[K |████▋ | 10kB 14.8MB/s eta 0:00:01\r\u001b[K |█████████▎ | 20kB 1.7MB/s eta 0:00:01\r\u001b[K |█████████████▉ | 30kB 2.5MB/s eta 0:00:01\r\u001b[K |██████████████████▌ | 40kB 1.7MB/s eta 0:00:01\r\u001b[K |███████████████████████ | 51kB 2.1MB/s eta 0:00:01\r\u001b[K |███████████████████████████▊ | 61kB 2.5MB/s eta 0:00:01\r\u001b[K |████████████████████████████████| 71kB 2.3MB/s \n", + "\u001b[?25hRequirement already satisfied: numpy!=1.11.0 in /usr/local/lib/python3.6/dist-packages (from sfs) (1.17.5)\n", + "Requirement already satisfied: scipy in /usr/local/lib/python3.6/dist-packages (from sfs) (1.4.1)\n", + "Installing collected packages: sfs\n", + "Successfully installed sfs-0.5.0\n" + ], + "name": "stdout" + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "Y-66Ua1QeW6j", + "colab_type": "code", + "colab": {} + }, + "source": [ + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "import sfs" + ], + "execution_count": 0, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "Exsqr3WmeW6n", + "colab_type": "code", + "colab": {} + }, + "source": [ + "L = 2, 2.7, 3 # room dimensions\n", + "x0 = 1.2, 1.7, 1.5 # source position\n", + "max_order = 2 # maximum order of image sources\n", + "coeffs = .8, .8, .6, .6, .7, .7 # wall reflection coefficients" + ], + "execution_count": 0, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "gBLrM_PDeW6q", + "colab_type": "text" + }, + "source": [ + "## 2D Mirror Image Sources" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "OGMrk2KmeW6r", + "colab_type": "code", + "colab": {} + }, + "source": [ + "xs, wall_count = sfs.util.image_sources_for_box(x0[0:2], L[0:2], max_order)\n", + "source_strength = np.prod(coeffs[0:4]**wall_count, axis=1)" + ], + "execution_count": 0, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "QPbibZk_eW6u", + "colab_type": "code", + "colab": {} + }, + "source": [ + "from matplotlib.patches import Rectangle" + ], + "execution_count": 0, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "w4P8bNHNeW6x", + "colab_type": "code", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 278 + }, + "outputId": "43c7f44e-4890-4511-f07e-c0b3c353e359" + }, + "source": [ + "fig, ax = plt.subplots()\n", + "ax.scatter(*xs.T, source_strength * 20)\n", + "ax.add_patch(Rectangle((0, 0), L[0], L[1], fill=False))\n", + "ax.set_xlabel('x / m')\n", + "ax.set_ylabel('y / m')\n", + "ax.axis('equal');" + ], + "execution_count": 6, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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AStYUMvNNVYwrSdqzVjj6SJLUIiwFSVJhKUiSCktBklRYCpKkwlKQJBWWgiSpsBQkSYWl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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "tags": [] + } + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "SqOG-BCueW6z", + "colab_type": "text" + }, + "source": [ + "## Monochromatic Sound Field" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "HBcrPbTNeW61", + "colab_type": "code", + "colab": {} + }, + "source": [ + "omega = 2 * np.pi * 1000 # angular frequency" + ], + "execution_count": 0, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "U1en0MmpeW63", + "colab_type": "code", + "colab": {} + }, + "source": [ + "grid = sfs.util.xyz_grid([0, L[0]], [0, L[1]], 1.5, spacing=0.02)\n", + "P = sfs.fd.source.point_image_sources(omega, x0, grid, L,\n", + " max_order=max_order, coeffs=coeffs)" + ], + "execution_count": 0, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "7s6wqtZleW66", + "colab_type": "code", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 283 + }, + "outputId": "62bed635-c9ee-40fd-efe9-7f0bb51a5950" + }, + "source": [ + "sfs.plot2d.amplitude(P, grid, xnorm=[L[0]/2, L[1]/2, L[2]/2]);" + ], + "execution_count": 9, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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JFMJtKIJtIS853lG5dvlqGjIbPRou1YxpXerOfbz5S/p9xhZUzXmD7tejQeBx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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "tags": [] + } + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "ApChY3jQeW68", + "colab_type": "text" + }, + "source": [ + "## Spatio-temporal Impulse Response" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "d3F1-BuSeW69", + "colab_type": "code", + "colab": {} + }, + "source": [ + "fs = 44100 # sample rate\n", + "signal = [1, 0, 0], fs" + ], + "execution_count": 0, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "0ddm6WYKeW7A", + "colab_type": "code", + "colab": {} + }, + "source": [ + "grid = sfs.util.xyz_grid([0, L[0]], [0, L[1]], 1.5, spacing=0.005)\n", + "p = sfs.td.source.point_image_sources(x0, signal, 0.004, grid, L, max_order,\n", + " coeffs=coeffs)" + ], + "execution_count": 0, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "tRCxi_CMeW7D", + "colab_type": "code", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 278 + }, + "outputId": "a9f7c0a0-dc5f-4f91-f6d8-b6d41b4949c9" + }, + "source": [ + "sfs.plot2d.level(p, grid)\n", + "sfs.plot2d.virtualsource(x0)" + ], + "execution_count": 12, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "tags": [] + } + } + ] + } + ] +} \ No newline at end of file diff --git a/doc/examples/modal-room-acoustics.ipynb b/doc/examples/modal-room-acoustics.ipynb index 26164bd..b963804 100644 --- a/doc/examples/modal-room-acoustics.ipynb +++ b/doc/examples/modal-room-acoustics.ipynb @@ -1,169 +1,305 @@ { - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Modal Room Acoustics" - ] + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "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": "3.6.3" + }, + "colab": { + "name": "modal-room-acoustics.ipynb", + "provenance": [], + "include_colab_link": true + } }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "import sfs" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "%matplotlib inline" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "x0 = 1, 3, 1.80 # source position\n", - "L = 6, 6, 3 # dimensions of room\n", - "deltan = 0.01 # absorption factor of walls\n", - "N = 20 # maximum order of modes" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "You can experiment with different combinations of modes:" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "#N = [[1], 0, 0]" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Sound Field for One Frequency" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "f = 500 # frequency\n", - "omega = 2 * np.pi * f # angular frequency" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "grid = sfs.util.xyz_grid([0, L[0]], [0, L[1]], L[2] / 2, spacing=.1)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "p = sfs.fd.source.point_modal(omega, x0, grid, L, N=N, deltan=deltan)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "For now, we apply an arbitrary scaling factor to make the plot look good\n", - "\n", - "TODO: proper normalization" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "p *= 0.05" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "sfs.plot2d.amplitude(p, grid);" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Frequency Response at One Point" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "f = np.linspace(20, 200, 180) # frequency\n", - "omega = 2 * np.pi * f # angular frequency\n", - "\n", - "receiver = 1, 1, 1.8\n", - "\n", - "p = [sfs.fd.source.point_modal(om, x0, receiver, L, N=N, deltan=deltan)\n", - " for om in omega]\n", - " \n", - "plt.plot(f, sfs.util.db(p))\n", - "plt.xlabel('frequency / Hz')\n", - "plt.ylabel('level / dB')\n", - "plt.grid()" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "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": "3.6.3" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "view-in-github", + "colab_type": "text" + }, + "source": [ + "\"Open" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "nMVbA_xvdFM4", + "colab_type": "text" + }, + "source": [ + "# Modal Room Acoustics" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "TjX9znxKdGUZ", + "colab_type": "code", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 141 + }, + "outputId": "cf35aa67-5b9a-4c75-f8f0-d4456beaa412" + }, + "source": [ + "# Install sfs package\n", + "!pip install sfs" + ], + "execution_count": 1, + "outputs": [ + { + "output_type": "stream", + "text": [ + "Collecting sfs\n", + "\u001b[?25l Downloading https://files.pythonhosted.org/packages/db/c2/1b5cfad42a65d8e879989787dc9c7f587972b87a882a61eb8792306491db/sfs-0.5.0-py3-none-any.whl (71kB)\n", + "\r\u001b[K |████▋ | 10kB 19.0MB/s eta 0:00:01\r\u001b[K |█████████▎ | 20kB 3.3MB/s eta 0:00:01\r\u001b[K |█████████████▉ | 30kB 4.0MB/s eta 0:00:01\r\u001b[K |██████████████████▌ | 40kB 3.0MB/s eta 0:00:01\r\u001b[K |███████████████████████ | 51kB 3.4MB/s eta 0:00:01\r\u001b[K |███████████████████████████▊ | 61kB 4.1MB/s eta 0:00:01\r\u001b[K |████████████████████████████████| 71kB 3.2MB/s \n", + "\u001b[?25hRequirement already satisfied: numpy!=1.11.0 in /usr/local/lib/python3.6/dist-packages (from sfs) (1.17.5)\n", + "Requirement already satisfied: scipy in /usr/local/lib/python3.6/dist-packages (from sfs) (1.4.1)\n", + "Installing collected packages: sfs\n", + "Successfully installed sfs-0.5.0\n" + ], + "name": "stdout" + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "_KKNyIFDdFM6", + "colab_type": "code", + "colab": {} + }, + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import sfs" + ], + "execution_count": 0, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "Ks2leRSTdFM-", + "colab_type": "code", + "colab": {} + }, + "source": [ + "%matplotlib inline" + ], + "execution_count": 0, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "-6jR1wirdFNB", + "colab_type": "code", + "colab": {} + }, + "source": [ + "x0 = 1, 3, 1.80 # source position\n", + "L = 6, 6, 3 # dimensions of room\n", + "deltan = 0.01 # absorption factor of walls\n", + "N = 20 # maximum order of modes" + ], + "execution_count": 0, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "UCEgc-HndFNE", + "colab_type": "text" + }, + "source": [ + "You can experiment with different combinations of modes:" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "RYP5DgOSdFNF", + "colab_type": "code", + "colab": {} + }, + "source": [ + "#N = [[1], 0, 0]" + ], + "execution_count": 0, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "zarxDqpmdFNH", + "colab_type": "text" + }, + "source": [ + "## Sound Field for One Frequency" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "Mnc6RB_HdFNI", + "colab_type": "code", + "colab": {} + }, + "source": [ + "f = 500 # frequency\n", + "omega = 2 * np.pi * f # angular frequency" + ], + "execution_count": 0, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "I-sUM9M-dFNL", + "colab_type": "code", + "colab": {} + }, + "source": [ + "grid = sfs.util.xyz_grid([0, L[0]], [0, L[1]], L[2] / 2, spacing=.1)" + ], + "execution_count": 0, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "fAUOCYK6dFNR", + "colab_type": "code", + "colab": {} + }, + "source": [ + "p = sfs.fd.source.point_modal(omega, x0, grid, L, N=N, deltan=deltan)" + ], + "execution_count": 0, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "uiMCAdErdFNT", + "colab_type": "text" + }, + "source": [ + "For now, we apply an arbitrary scaling factor to make the plot look good\n", + "\n", + "TODO: proper normalization" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "nG65QXiedFNU", + "colab_type": "code", + "colab": {} + }, + "source": [ + "p *= 0.05" + ], + "execution_count": 0, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "AUeijlIgdFNX", + "colab_type": "code", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 283 + }, + "outputId": "989c3202-bb36-4bbf-fff8-9bbb9a016e4c" + }, + "source": [ + "sfs.plot2d.amplitude(p, grid);" + ], + "execution_count": 10, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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iJEgs6/J7pcK2UEzdpVgryy2kjd0MV81vIxfTY4SdxIpNCX0E8gV+mCNh9jWj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\nXZxUge9HdWS43i6M8jlGnIUiuyhvPMScXX+zfmk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KShr/AhUEW/8ABRHERgtbtRAiaCwF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\npwAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "tags": [] + } + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "p-92E9BEdFNZ", + "colab_type": "text" + }, + "source": [ + "## Frequency Response at One Point" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "_H0oOcrsdFNa", + "colab_type": "code", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 278 + }, + "outputId": "f186084f-e294-40b6-842b-0568e389d96c" + }, + "source": [ + "f = np.linspace(20, 200, 180) # frequency\n", + "omega = 2 * np.pi * f # angular frequency\n", + "\n", + "receiver = 1, 1, 1.8\n", + "\n", + "p = [sfs.fd.source.point_modal(om, x0, receiver, L, N=N, deltan=deltan)\n", + " for om in omega]\n", + " \n", + "plt.plot(f, sfs.util.db(p))\n", + "plt.xlabel('frequency / Hz')\n", + "plt.ylabel('level / dB')\n", + "plt.grid()" + ], + "execution_count": 11, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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v45x4+RTsP8gt3Tem7EcKyXzP/XBtL0+d3sPqLVeyttWb9XaF5vyOM/DWfm7r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\nSylfRlsIzsTNZv3edCwWQY1D8+tJSs0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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "tags": [] + } + } + ] + } + ] +} \ No newline at end of file diff --git a/doc/examples/sound-field-synthesis.ipynb b/doc/examples/sound-field-synthesis.ipynb index 89f298f..e1e0b67 100644 --- a/doc/examples/sound-field-synthesis.ipynb +++ b/doc/examples/sound-field-synthesis.ipynb @@ -1,232 +1,455 @@ { - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Sound Field Synthesis\n", - "\n", - "Illustrates the usage of the SFS toolbox for the simulation of different sound field synthesis methods." - ] + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "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": "3.5.2" + }, + "colab": { + "name": "sound-field-synthesis.ipynb", + "provenance": [], + "include_colab_link": true + } }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "import numpy as np\n", - "import matplotlib.pyplot as plt \n", - "import sfs" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# Simulation parameters\n", - "number_of_secondary_sources = 56\n", - "frequency = 680 # in Hz\n", - "pw_angle = 30 # traveling direction of plane wave in degree\n", - "xs = [-2, -1, 0] # position of virtual point source in m\n", - "\n", - "grid = sfs.util.xyz_grid([-2, 2], [-2, 2], 0, spacing=0.02)\n", - "omega = 2 * np.pi * frequency # angular frequency\n", - "npw = sfs.util.direction_vector(np.radians(pw_angle)) # normal vector of plane wave" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Define a helper function for synthesize and plot the sound field from the given driving signals." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "def sound_field(d, selection, secondary_source, array, grid, tapering=True):\n", - " if tapering:\n", - " tapering_window = sfs.tapering.tukey(selection, alpha=0.3)\n", - " else:\n", - " tapering_window = sfs.tapering.none(selection)\n", - " p = sfs.fd.synthesize(d, tapering_window, array, secondary_source, grid=grid)\n", - " sfs.plot2d.amplitude(p, grid, xnorm=[0, 0, 0])\n", - " sfs.plot2d.loudspeakers(array.x, array.n, tapering_window)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Circular loudspeaker arrays\n", - "\n", - "In the following we show different sound field synthesis methods applied to a circular loudspeaker array." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "radius = 1.5 # in m\n", - "array = sfs.array.circular(number_of_secondary_sources, radius)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Wave Field Synthesis (WFS)\n", - "\n", - "#### Plane wave" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "d, selection, secondary_source = sfs.fd.wfs.plane_25d(omega, array.x, array.n, n=npw)\n", - "sound_field(d, selection, secondary_source, array, grid)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "#### Point source" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "d, selection, secondary_source = sfs.fd.wfs.point_25d(omega, array.x, array.n, xs)\n", - "sound_field(d, selection, secondary_source, array, grid)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Near-Field Compensated Higher Order Ambisonics (NFC-HOA)\n", - "\n", - "#### Plane wave" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "d, selection, secondary_source = sfs.fd.nfchoa.plane_25d(omega, array.x, radius, n=npw)\n", - "sound_field(d, selection, secondary_source, array, grid, tapering=False)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "#### Point source" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "d, selection, secondary_source = sfs.fd.nfchoa.point_25d(omega, array.x, radius, xs)\n", - "sound_field(d, selection, secondary_source, array, grid, tapering=False)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Linear loudspeaker array\n", - "\n", - "In the following we show different sound field synthesis methods applied to a linear loudspeaker array." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "spacing = 0.07 # in m\n", - "array = sfs.array.linear(number_of_secondary_sources, spacing,\n", - " center=[0, -0.5, 0], orientation=[0, 1, 0])" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Wave Field Synthesis (WFS)\n", - "\n", - "#### Plane wave" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "d, selection, secondary_source = sfs.fd.wfs.plane_25d(omega, array.x, array.n, npw)\n", - "sound_field(d, selection, secondary_source, array, grid)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "#### Point source" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "d, selection, secondary_source = sfs.fd.wfs.point_25d(omega, array.x, array.n, xs)\n", - "sound_field(d, selection, secondary_source, array, grid)" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "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": "3.5.2" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "view-in-github", + "colab_type": "text" + }, + "source": [ + "\"Open" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "FmKBKl09cMfR", + "colab_type": "text" + }, + "source": [ + "# Sound Field Synthesis\n", + "\n", + "Illustrates the usage of the SFS toolbox for the simulation of different sound field synthesis methods." + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "F2mZRWYkcYoB", + "colab_type": "code", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 141 + }, + "outputId": "976f9ead-04ff-49ee-f1ed-7d54c235b8b1" + }, + "source": [ + "# Install sfs package\n", + "!pip install sfs" + ], + "execution_count": 2, + "outputs": [ + { + "output_type": "stream", + "text": [ + "Collecting sfs\n", + "\u001b[?25l Downloading https://files.pythonhosted.org/packages/db/c2/1b5cfad42a65d8e879989787dc9c7f587972b87a882a61eb8792306491db/sfs-0.5.0-py3-none-any.whl (71kB)\n", + "\u001b[K |████████████████████████████████| 71kB 2.0MB/s \n", + "\u001b[?25hRequirement already satisfied: scipy in /usr/local/lib/python3.6/dist-packages (from sfs) (1.4.1)\n", + "Requirement already satisfied: numpy!=1.11.0 in /usr/local/lib/python3.6/dist-packages (from sfs) (1.17.5)\n", + "Installing collected packages: sfs\n", + "Successfully installed sfs-0.5.0\n" + ], + "name": "stdout" + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "nkF5mqRQcMfV", + "colab_type": "code", + "colab": {} + }, + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt \n", + "import sfs" + ], + "execution_count": 0, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "9C__HYkScMfa", + "colab_type": "code", + "colab": {} + }, + "source": [ + "# Simulation parameters\n", + "number_of_secondary_sources = 56\n", + "frequency = 680 # in Hz\n", + "pw_angle = 30 # traveling direction of plane wave in degree\n", + "xs = [-2, -1, 0] # position of virtual point source in m\n", + "\n", + "grid = sfs.util.xyz_grid([-2, 2], [-2, 2], 0, spacing=0.02)\n", + "omega = 2 * np.pi * frequency # angular frequency\n", + "npw = sfs.util.direction_vector(np.radians(pw_angle)) # normal vector of plane wave" + ], + "execution_count": 0, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "Z3L8xRQUcMfe", + "colab_type": "text" + }, + "source": [ + "Define a helper function for synthesize and plot the sound field from the given driving signals." + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "EGFfEJhAcMff", + "colab_type": "code", + "colab": {} + }, + "source": [ + "def sound_field(d, selection, secondary_source, array, grid, tapering=True):\n", + " if tapering:\n", + " tapering_window = sfs.tapering.tukey(selection, alpha=0.3)\n", + " else:\n", + " tapering_window = sfs.tapering.none(selection)\n", + " p = sfs.fd.synthesize(d, tapering_window, array, secondary_source, grid=grid)\n", + " sfs.plot2d.amplitude(p, grid, xnorm=[0, 0, 0])\n", + " sfs.plot2d.loudspeakers(array.x, array.n, tapering_window)" + ], + "execution_count": 0, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "A0Aasu9ocMfh", + "colab_type": "text" + }, + "source": [ + "## Circular loudspeaker arrays\n", + "\n", + "In the following we show different sound field synthesis methods applied to a circular loudspeaker array." + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "1r2p_m8lcMfi", + "colab_type": "code", + "colab": {} + }, + "source": [ + "radius = 1.5 # in m\n", + "array = sfs.array.circular(number_of_secondary_sources, radius)" + ], + "execution_count": 0, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "Pj4LwjS9cMfl", + "colab_type": "text" + }, + "source": [ + "### Wave Field Synthesis (WFS)\n", + "\n", + "#### Plane wave" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "Odjaw5l4cMfm", + "colab_type": "code", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 283 + }, + "outputId": "5d92ca6b-14d1-4021-befa-755e9aaa57a3" + }, + "source": [ + "d, selection, secondary_source = sfs.fd.wfs.plane_25d(omega, array.x, array.n, n=npw)\n", + "sound_field(d, selection, secondary_source, array, grid)" + ], + "execution_count": 7, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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DOLRuNNS6KL4lgS2ND/qKvXlr8EqS7gsNjSWmBK9/zSuY9jv+yAMfxv3ufxuw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\nT8hDY4mRSZwl+ujW6sO35i7qzPaxvk/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qLbXVEvB+FZ1xHZUrAGW0RhN7roo3vuEN/Jt/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/CiHut9beI4Q4CvyGtfbNwCHg/T5K08DvWmv/4LzuQEpsEHiZAg0pAjPRYk2K9cQBAQhtfZQ4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\nLqMiZJQFjDNNkgnnb9j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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "tags": [] + } + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "Nlvq4LDacMfp", + "colab_type": "text" + }, + "source": [ + "#### Point source" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "fmtE94dLcMfq", + "colab_type": "code", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 283 + }, + "outputId": "8c874600-5f78-4d28-eb73-82397a20acd3" + }, + "source": [ + "d, selection, secondary_source = sfs.fd.wfs.point_25d(omega, array.x, array.n, xs)\n", + "sound_field(d, selection, secondary_source, array, grid)" + ], + "execution_count": 8, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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3hQx+7ud/kf/10t/k2muv5dd//jl80n0vau8tQBEW1iJ4YqO/ENwy07k9aQEh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95de9x17//P3nvHW3ZVd57fffKNL1dQJZVyKSMUkIQQYIzAgDHM2Ma0/WFwO/R82u7pmR6PTWOP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\nhsapBt7lnPv9M7l/KWCUC6QQVLVnbaOnQ10H9jZ6+VlFY3PqVlIZTaUzq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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "tags": [] + } + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "R0nH920rcMfu", + "colab_type": "text" + }, + "source": [ + "### Near-Field Compensated Higher Order Ambisonics (NFC-HOA)\n", + "\n", + "#### Plane wave" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "PuTQzkT6cMfv", + "colab_type": "code", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 283 + }, + "outputId": "4d3ab34e-23a6-4fec-e5ec-c35b86b444ae" + }, + "source": [ + "d, selection, secondary_source = sfs.fd.nfchoa.plane_25d(omega, array.x, radius, n=npw)\n", + "sound_field(d, selection, secondary_source, array, grid, tapering=False)" + ], + "execution_count": 9, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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q6Ql9HH2irIDRORBvLWrNu1GtxzX5jlxdlpNaeLPRnlE3jNIzVEuqvfd4rQn9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\nQmCC\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "tags": [] + } + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "ta5pKL3CcMfx", + "colab_type": "text" + }, + "source": [ + "#### Point source" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "GO4te5mCcMfy", + "colab_type": "code", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 283 + }, + "outputId": "4397c3f5-5c51-4474-9d54-9fa9908f0604" + }, + "source": [ + "d, selection, secondary_source = sfs.fd.nfchoa.point_25d(omega, array.x, radius, xs)\n", + "sound_field(d, selection, secondary_source, array, grid, tapering=False)" + ], + "execution_count": 10, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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eYnZWDXIcEI83hLBlpR3JUt68U80iO14iMRwjWaAjWkRKcxK3lNRpjTRY9VCs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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "tags": [] + } + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "nIfS2P_JcMf1", + "colab_type": "text" + }, + "source": [ + "## Linear loudspeaker array\n", + "\n", + "In the following we show different sound field synthesis methods applied to a linear loudspeaker array." + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "OPKuWnM6cMf2", + "colab_type": "code", + "colab": {} + }, + "source": [ + "spacing = 0.07 # in m\n", + "array = sfs.array.linear(number_of_secondary_sources, spacing,\n", + " center=[0, -0.5, 0], orientation=[0, 1, 0])" + ], + "execution_count": 0, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "8Nckv1c2cMf4", + "colab_type": "text" + }, + "source": [ + "### Wave Field Synthesis (WFS)\n", + "\n", + "#### Plane wave" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "hAia4DhbcMf5", + "colab_type": "code", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 283 + }, + "outputId": "86dc79ff-bef6-42fe-8e45-2806ceda7e69" + }, + "source": [ + "d, selection, secondary_source = sfs.fd.wfs.plane_25d(omega, array.x, array.n, npw)\n", + "sound_field(d, selection, secondary_source, array, grid)" + ], + "execution_count": 12, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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6gxtYvAJttJxRQ7G/P9m95wid2Wk4zNkUajZeYr0vBKBYdbloNrI2mZeY6swZ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egnniY/cJx37jrAC5trnBhuUmjDO3bu59Nf+Aju6hUOdHLuef/d/Ieh4VR+GLnrQZ49kfHwb/xL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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "tags": [] + } + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "d9XUZFXqcMf7", + "colab_type": "text" + }, + "source": [ + "#### Point source" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "Xe5U2vcQcMf8", + "colab_type": "code", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 283 + }, + "outputId": "a2d8f9cc-18ca-4d75-c595-3e0e391b0f98" + }, + "source": [ + "d, selection, secondary_source = sfs.fd.wfs.point_25d(omega, array.x, array.n, xs)\n", + "sound_field(d, selection, secondary_source, array, grid)" + ], + "execution_count": 13, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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3PwdTqLzT8aGjzO9tp+NpfYvxVf/QokErT/lYtvr/wnw+Flk1KrJu6zof+Pj9\nsT8lULvkGXOhqUNT65IXbBEAhGT6ltyUng2hVqaYsUs38VBYzZEtKowpAki2mCX+QwpUS/37HEO3\nRsIepUQpfaWIToCpASwMcRq7k0ExKzbVq+huNZkn270hkn7GdLb5Fp1iifIez01dSFGYaJj0RQ8Y\nKYgCYFcFacPmfH36EleGfGSteezcXG3j0UTb4g2r2AJJqU+kNR0y/K2hTQRMIxp+2gj0MI8Z7DqY\nzbFDBDPNWbbbfvRbWSyfk/GqTeZ3MRZJxq1xKzfzzNytChsvjArEhVO3dd3waVnNzc/j1cDRx1g7\n5R1N5tSI0QTHIzBWgB8uKL7qA4zpOsjfY5rRtv5r89mikBOol2ILBRRtH6fcpYUD3/Zszbdt5ZAW\n0XOCIub5FQBIkfQ1eJ2B4gwywAXsU45zBYpE0FEi+w5ENahhFn5qdRIUd3Ca/sS6gBHrALUpmIbL\nkCw/vegmPeDSaINIy1TFCLI0cPoSrZ7kUSfpSQBA+hOPvkSTRbXUSB6rqrNGAQjzOx7HvbjDax3l\nxnzJOJ7auBCOvpIQfNTfRaP5+O2xJah6toaNeYGfgeWRzU4He9z4Y7LFLBo73LcY/1tqlcTrAzDa\nLGbjeTirjCKtOUuX+sT2yRmdiXMsGt0CGImhjZYbNYC70WZFDRjOfOaNzg5cuWX3K5IacwIw9YpQ\nbNCFkcVss380JgDxPNwrKNb3ULsBVAFWjzpPNhtBovh5CqUra3dAlPThBciufVAGyIXbVgQjos68\npDsOUJPpSyy+zRpg6fSYO9PpMfWJ1Zd49GvWCHiV4lRfIqtAZFzlXOcoUqBbDPFe3OGVjsXB/Rbg\nOEHs5LsjYJ2Y5UtKGx37KQc4rnfqacT7Cixt1IZQAPLGJGePwitjjL/hwAhY1PhYzTqA0QI0pdFS\nDM8pFlIIeZko2E3mfMe2nab85gUKPB92OPAVaUkEMfLm4tWMphbNoXQl3/V0ipf993S/AHOUgIZU\n09YP5oz0+k2wxxRk0QPC58wAFFZZ5xjtTTCk6l45zmn2et58nwc69tKPheDstAaa/CGicFAkgkoD\nu2uicYOIlV8L1j6IF53k1EjGtTWlOHuwROpmNjc7mypjMZ3zmlS6HSj87guz3/n4QgJiAMKzvztN\nyOSbT7/8STpY2nJxEBRIpuiCY/LXVXybYBYXfgiz53ILg1xY5yzrb9+NJQod/sdjUygufZb9tsFO\n3VtdWp/fEcCG2X3ONk++nLseS7GFVkCve+N5AJDmubjOZuNCI9cthgYwbnYAqQVMXxYUgKb5vJR0\nO4CiQnPOVzULBXjE5QoUI8l8JQAAACAASURBVI06wDeY2QLaMN+Z5fZuC0NT0DU7C3m0zwmhT/R8\n7KEKEm/KxdOfCHhKXfHlsWoy8zTpfR7hqwt9olkHZjrbgwhpOiOi8n7JhPm8qz0ABrqnbdr2jxHn\nOEZxLZKem8zAO81l/iDjCwmIQPG73RRR+O/OfIw3HnJnAZqosXcswVXBcmkbWvssOzgqrSwyewoH\nKNJUUteKLXNe7m+kKtGxi7phNz8fNQyy083+mmE3w/CHAKuZUSE2jgrbiyjawca+ZzPPOYIH0x8p\nmBIVM6PNt8Wyp5qGBXmz28q91mIpM7Y0hvI+KEu1naKD3sHODjFBSA6g6Msc5S8A0NPcBWiUXidH\njeIeKXX+dSvZ4kX6Y1rHKSo3SZMxVzvHa6dC9sZQgHp2UFtM52SPMkBOae2B1IyRNzsHEuxVCES0\nnDu7dGhKcbRhh8twQqzNw7cveX0vQRYtyv56fu4+xNc75NDo8VZw5UVBlxvDLl43ew/K62SHccNT\nmESydMibTAgJhLVL3rER1JXvsejEauFWkDV2VxCiqnXkpUbJf/Hey6wNTJrBFyEzqWaA4JBTDGQK\nnYChMrvEBSDUPr+1Cs30fdZskUMur7q3kxXYgUsxn3PhOmpyCGY1miycKjP3GQB2lAh0Wdfi3lAF\nJUUuwu0IDkWApZrP4MyWEYQZbaZzzCmrW4tfDzzbLjBJlukafJmugxrwiWBP7M8gMLU0nTs3CJox\nf2I00pUlYo0876JgbqcBFjsOWWZ8NeNxNsidxZ/f8QUFxBRvXH3zNl3y3naLy/ssWMATDKELo0yA\nDIZQ2ofOnN8xgfGpEv9FBJ0g6Ywx2gdElDbAMYCR2W8Gb0UgyuZfKsyEomK0+y+XWo0uig5/WhxP\n++NiThJ6+HOJwHjEdBjYjZZmqoQ/zyp/Hy/UMDNzhLvvChSjrFipRHNY5iiBiZzs2fs6jqnYvACA\nNgsauQwmIvwRuAqz1QIvCsIK0uQPKtJZmSlqF5ov7zCX+uBQWeQ4TdbUvk7uR4Q9qM4CLOZTdDmW\ntiuxdgRYKFxA7k+0gOC1xCzPy1128/qGAkvU1D47AccTc/qzAmOMJdqMwgIpgHECZBZ0jTJZbjLZ\n6+asRLPEv0kyUojnT/JZo5DVyzapMUcFo5FJKgBjNeaI72keMbtj3c3oasqZf1FRC6QG45h9UOxo\nqoSZbeCnbCCh5P62iM56eSvCNE35KkvDP/fve0hijj0DfARDjRJds5r0BEUACzCGH89kPYWJlvPH\nCLA29npU8GSZ/9JovvoURY7z8SwWZ4m77xCxVTbf+eJynMtiOoc7oUbAiRiEPU3nTo+Q1nChDQJG\n97qLoSyI7cd5s77ZZiXUAEujDcItr5mzcmVXg3CPMr/WsUSZXwB8cgaYN9jk247aVxkabHHWBpxs\nMoDSLlBzrA9Is8Kt5l80oDyrZl1BcQ32eJ3C7MtLIK+OLdIKKF4MFMnYQvgcNxcVkwIkjGg+v2oA\nKYMtACZjBOESrw+pb4BdgJW48dgKKGpGWcklOcuCfszAfo6L6ZzFDmAscYKinYlddQn2G0N84x9Y\njvEswhqR5wiY2JqICEwb+vDAEbXs9SLpy/X9PlTHierWewAcXDBd5DhnpvMiCwLsOiBaTOcujxBm\na1BFhEGW2hmisWSKfmWMwlQjwDIKS7Tz6dt5Kt5IBLoHVV7nOILgGfN7KQgel31rFqmxvRp4ad4R\nbzKxI0haEVWxGoIBhGrtRcMXR2rPfuuBMpnjaS5qcJQIvqgkMJIONNkxuGPnhzSjY77T8d4cTDz4\nctAv1qbzFOyRgJ5lqzj9ilbslD1qiyl9GVuyw1usLEboFbNtZzHZd0GCkGIGAgZoCbYEWweK+azT\nTE+fooO07ewUbit4Rp5DdsQN6gGOeDhYO655jQnMjzf8VG1+hBoLdpLVdJZhWkk9MDT/LkxnkYZG\nHkyDa0WZITp715ibg5KpMsTamJYAyygyHMDcOZUl3hr3oMqrHM8D2EvA8DkgfO735zPT5fUonwUY\nBkha7xNJcJwNoUZWszaJzoB4L5SrGoVF11cmak5yMmBVGSAeEO6IIq67XsBRYZkEjG7sxdkiEE55\n4FjyHzCJDoOwSYDBSDMScAbXZpAFOOgBMc1UUoFKgL8fu4MPVVG0hjzPb1TAEak+NP9dlP13sXQ8\niIg1BeIAgKbpU7yak7PEKL7Qo20nbF9HqV9YTWdb9fQn2j41DFVs2u3cH03nEGyPHUdJ0DSdNzed\nt9QmDm1oLOnOWLJYimh8qCYYDhopwwEwi1Do7FFzHObOuZvM93Ef93EfxkPuDPHzOaIRU2WKVPR2\nwGRu8TSd8cLr8VKzevk8orjVlNYSeIE1gzJD0yJ+xtZGRiZrt7ws8R9FW8N8xhqZjlxiIAIR3pXF\nnesiA9RGtgpgvljeLQQ7LmbasWJzhjXchF6aHXnmRgi5xbcl7leLLA893EDnLBEzuj4223c3leMC\nvpTc5fDdzcyRKI4xtyNxnmX1ec2ahQJu0x9LfDnx48lqOnvUOc6zpU5y8SOGX9Vz0jXOjq1hqGJX\nBmn4cWXxJZL4Oea2SIJSDhRZLF7uv0ees88jigY3N99XGY5nKHnm0nBdYot6iB5gEenZ8uFs3IMq\nn4NxlMQAE5j48J2c4djJ+deI9gKlQswNEFxq991+gnIBxpjz7EjcFnCMWoVhSjfd3cRpXsTTfYNR\ndcarVucswrcowx8EYjebNgNeneYSN9vGzg9rVWtWS0MTzko0awN1/5+QWsDwKQIwic6Vc5ASFFOD\nVxsgnUgR++GFMq0/kL7oEEVpAiJsbozw4dl+rT1Q4hy4FhBIEz7kL0wMjE9SHxhBFmmuC+TdHBge\n3NhTLF2CPT4PO8d98SUyD0ibAZbYjkmCTA4U5nuTlmLt1npGnEemVSroYDarz+2oS0wxf8lggRbR\n+mHcfYivcmhGW28Nyl+uT7R2YIX249nVLhzSFQCjXehTwHnlbzz57WzDOds8svdWJqj5eEgSHAE4\nOHp6XgJjs/4XpZq1SGkIJfbPzAjxnGKMBRhrdkz4sezmvIDJ/IzW+9f7FrP5FX1ixhJLlJeZXaxc\ntIpFzB1pcMC1siYAKCLPMbdj4QV090sSsgFVXA0i4fu0M3kERTuXoRE1Hx4Aj25PUOZIxQyGX4pA\nhAC9uwxmiraNfQmT9z2mJQIO2MPYGOL0JTIGBnXs7cECY+wPrVioVsVxXyKP7Sri3DBSA1r1kUeW\nWHWJDYzBdmSb7gtLPB1EoHaPMr/KccYKz393XZMQuDZ5I7nfF8rvpT5lCwsxICjAmQBny5RsvFNm\nmTcJXHvmPwmWKBkBro2h7MnedE+AVDITismqlNgybFWYS85uMsbhFZiDkcFutDTbIupZqtDka2lF\n4+clynRWbxZBMRtn4GEZ5X66khtGOLaY/Pld+b0iAjbFPC/nZ2eGil4xRVIGSQPHPpXIc+YZ8wCa\nd807VJYmGbMpE1m0N8uxuVj6aDov1oMHgFgJu3LKcCLPuPEFwiMjznY9yWSJaTobS6wR5w6bAwCv\nhGSG+ght6kGX2JSTJQLIqHOyxFuWzt1kfp2D6WmG+DZjAlbo0uZTNYGSgpceQDH+IrODFMfueNVX\neex3AkzfImCCZ4tG24XcyBiLUBT5Er/5JjA2YjSqPXY3q2sHFFAsWRCRkRBaRx5Q3UGuVwz/YrYT\nDTZe7oXhjHEXTlAcymCog/28EQME41gdQTHTHw9R3nJKctNRbALAKpQu7UqNpbpLooDiLjNyfyXF\naVOOA9dEcpjwzigj6gwAPB5zLmY6szNETtNZXCW1qGiUMIoJz2R+20yp82OfvallTJboecYkAzRm\nxLnRnil9dg1xahOPzbsElqlUs1cAYGSe8w7WsKPWYfrWu8n86kb1wcX755eZAPpUQYjK9vIGK0DJ\nFRCzRBZdgyPVLOVYoRqwHszrqvWbfq3IbjEzp7k0Z3hucqcxayKGP8klISINbVjqGdOW+bG1iKtJ\nOSi3pWHbqS65xSYivsy9c+ayQRFVq3fhyXiVYPasQLDmGC++vwTFCX7xUQRabG5yBYrL8Y9qNExX\nbD6CGqqT6Q8lq1lIc1+amvyJeYAdkOTghw1QRPEpqrg/bzzaOYg84zCd/VxUQIJqymBIm/v0BI2a\nS1/2DLAAEey4LgDBumeApft10DBTNxvpKUuMCt+RvTIrJHVzw3A3sfYt4LszxE8/iOgXAfwkgL+t\nql87+Z4A/GUAPwHg7wH4aVX9jZesm4spfLOY5U2gfJpd6gJ6cTFPlhi/qUAZ/ZajO179i7p7wbWi\nSRB03VZkhMTsAbOcLP9YwUQgamgU1WoMGBs1tNaz7LyZcs0iokQg7IBXZyFB+qSmTW+i8OaNy0W7\nl/AygKAmMxARIJGUdoIiYIBogQQzWyPQshzXK1C0Rjvhv7MHR/FvHkGxBDYU5NVoOE1GZReRo5np\n7KAY2SOpTcwg1wy0cDMRe1cF8UCT4abzmP5NH+znPPSJR9PZ/nQ+FCLQoZpRXzOd+wrKEWABLDVT\nJ4O+FWBpvKO5PzCK+h5ZogBZzJaVIape/QimT/SoszxhMr+roMr7xIanxodmiL8E65nyyze+/1Ow\nPsw/AuDHAPwV///ZEbKUGKdFWE8A8ekueTaWgrMFtJY+vpggOM1pK6l1BMfw01jWwHxKR4n/I2s8\nCqAtCKMZgBEiDOIExgZGxw7xp3fDbsJdz2luLiwG3OyRsQQuIrobPrOUvWSWjedeN52VW7LXMoCx\nguLQAkDl82UUUDyep+XXApDsCYy1WIRtnGZg41h4ovgVo8H8EGPuAy2zrInsemIMML+ZVb1lTNM5\nnMKFNfLYXfhuD58wnUP43DytLroF7oUpqiJN550U7AGWRh3DBfQATA4kJnpfugceAyyyoXnEuKEt\nGSyVJcb2zWyWmctMzUvF9VQfXA0i3GzH8fbjl/CesOGp8aGbTP11IvrhJ37yUwB+2Tvt/RoRfS8R\nfVlVv/3UetPXg+ub6aqg643vnp74WXMovmJ02RMlbkqEM917kCCazDtQEHvZJvF+y1alRLKyDOWN\nm9soZqClgimICM3LeTU2HdqgFqUZzMHOzXVqLaOhTRp4PM5skGA7NZrqN35Tq8oy4Ddfj+rWftwP\njLGCYvhOFYQhSH3cohPEtfmcqXO+fVtI7CZ0dsRjS1A06Yufgz4BMaPPfly3wV43EOnrhEhmXVig\nxVgic5jO7tND9WuOvIbUM0h4eDFXIpfCGNMa7LULVRKUmTkzalQt6jyUwMIYZMUXGl0899y3wztk\n0UhOrSnLgLrft8mOxlFlu2cGi8m2jCXyDZYIINsNBEs8La4MvLMo8/vChufGh2aIz42vAvjd8v5b\n/tnVThPRNwB8AwC++pUvp6gYeB74Fn/jLfP6bZkjsJqDpaq1wpiDeC29EOYGQEb/k6hQEk2hxE06\nxTTqz4p/Qk1rxiSQwRgkaDzBQYjTl9VbNED3nihkAM20LUxsgmOYhwZATQXURt6Q2QsFel1z0EEx\nTWadN3/+cCDzbOOjjGRXoXQK0w+piQUUG02R9KW0N6jRZ1GvYSiCPXqz+HGucTmCgqlj04clwEEu\nYm8ORvFwSzOeCDx2CO1o9IjuGr8o5DqYZ0+YEmSJqLywFYBg4dQmNt4xNPSBPaU4Gt361K8QD7BU\nlghgEWy/hCXacW4LSzwdhLfJVPkBIvr18v4jVf3opQvjLbDhbcZrB8QXDz+YHwHAj37tj+sKci8D\nwGvQezuT+rytaPKtBJ6VMXI6rk2r1iCWJ2DAGKzRb6Dd/W6p94Mk07F3uWFEtWZSv7gjyswNg0b6\nsgZ3r6NnBQoayEzojJhGa9ES4Y0bz9kaHYCJVICOpbwWAGD0BCD1jn9VYqTe32VxIJpauTDFIt5D\nrae4JxgkKMLYWhxvANYQyyO+Q6N/TEODYkiAAS2mPBODxesFIlia+1CL6VwrbUcmC4jBshXTuadg\ne1DLGpJDo5L1NOuzhahrE3dtzhIdqJr5csnz0Unn47KyRCv8YLd7CLY7vYwlAkh/YmgTqyU0x1v1\nZf59Vf36S3/83RqvHRB/D8APlfc/6J+9aDxtHj/FGp8ws58E0LMRKXKTncz3sylUfDajwuw3qTHF\n7H/CfnOkwz8Ypjg7nOyq+hdFzckPWNRaeIJCtKAyaUjDxZlrGwUQYp8jwquz94mGWDkirSjR8CYT\n25Z7xarl7FLboBoQ2GcV8IxtXslf6jlJUJ51CxnIAqmoAnBiSLNqNFrNZ5pSqJiPHS+LPDPCTXZt\nOrPuUG5loWLiF9NZuaHL5qZzS7YGAOIFGPQwhxpgadow1HyQgOsDs27iDlUFDbliiVR0qI0bmu4W\nbPO/Y8RZABBmN8aqTWx4Isr83ZPdfCZsuDVee4z8VwH8y2TjTwL4O5/VR3Af93Ef72kQTHbzkr/P\nPt4LNnxo2c1fBfDjMH/CtwD8RZjCAqr68wC+CQur/w4stP7nXrRePM0OXzy/q0i1Xn3+lGm+jGJO\n12ALSxESe3Aj9IPqAmvxgMiAsce9Rv9Uvcgop2ykls8HSsCFImJosg5hwdCQhLhf0eUhlyJwNnb1\nuHSpSXmOymQkqmjFZLbj4YyufckWPLBEhZayVLPogpak8lpA15iigPr8bMB8mZld42xRBaCxXwdY\n4vh6eS4Lbvgfac4jzUIxtrR5DctGHY8nvsSrYI9e+xKZHs13l64Kzuj/UIs6k0eMw2wWgTtRgI00\nI94A0FybKNRA1EE0PBgUx2E1mwFAxCpip9lMY5HgoPilI52Ui1i7od02md9RUOV9YcNz40NHmf/s\nM98rgJ956/VevS83l38bN3uAXC24CtDyWXxuvrsbTeaP2r3j5/Wzgxl91M1Ff2PLMgjz6oJGbBWN\nYRFHwMxf1oZdm1ezdlMHpVp0MUnjfyJrRNSYICoGDC5Picbz08yfwZZGBN4tWDFNM4DGluZzHtdq\nygKnpnM9OpbV4qCo9YfzMs16hZgPpyiykKazp8+RCuCvGz1Oc84jvnasZ3AjHhyi1lMvjxfCnyjm\nSyQXMnEHtzcWxeUNxJcpSfEMkqmTnL7ENjzKL1azMFoIdG5WyDV8zX4smKzYOSuheSHXCGzsdEGj\n7dxsBrBkr7iZzbKjsRfwwEBzraqQgDy5QDDN5rjOqtl8OgjvTHbzvrDhufHafYifehwjvlMOcZCt\neCrcfF8S58uy0WReab6vMoelZSiwAmP1OxYIyBJcEZkEjEkIQ6PhPLuw1lnAcB1aSGiGgyOrmDRD\nIsMBgINiCH5n3q6LvkkwtENY0HW2E70ES21Tg2a9leex4/3RwMcDGbWIa+zzKVcooGgZInOIV8ZJ\n8ba4UBpAXKpE058IIAsvxByiMVXMxcBo9xL788HTD3nGkT3S1aLP21h9m/BI/65qMhxSsD6ASdD4\nAa3tXlXatX7RMCv8rWLb5bFBuaGNjs6PGNRxgYH2oIbGVhG9lUyamIMoY0jDTormFkJDw84PT7NE\nGZY542AdAZYQazcImrNE65a4skS7zpxBwsqD3WKI93qIr3RcA9/17TlziI+fH9jfgU1OBmkR3Pgu\nkvHqOqJydaZ24cAaVVFL+9u1yIBYHmqC4yCMdkGj3Z3qduoCHK2uzcVKN6mpHMVN6cgnrjcX4JVV\nXOYxHAxEXQrCUx+ZgQdy1hjR5zgask/zUOd+AZb2VmUy9uHh/1wkosxFvF1AkahhpgsGIPr7iLSq\nZ+2USHitRmMLcUaeJUp0cVtNZ15NeQNvwhBOsXSjnpXFI4Mlu+G1cSUJCh0nj80YGbeMOAPABXtm\nsqhnHTF0YYmknLpEACny3vkB7KB8xRJ927NTnwVYQqzd0DKdb3hpsMoS7XqO8mAMvpGpQsC9Yvar\nHERXDDHG2ZPtyscYrRePZnFJF4vlai9loDSn98+zQ56W/6lEIOt2NOYTJnUU/WQHR4tkMnc0L00V\n4DjYmwNptxL0pMkWCVZ41Ht0XmkAVU3qIeS6PAej9G3x7INyPH55lIv0xvapFFFdIvP+Ogo61KIL\nvt0q3pb0JRb3RSm8YH0/vjRN5/AnFrF0BUVb3vuccJspdWxAtJrORQ6jBIZmJsss1mtmcrLEAB0H\nR3JT2arRwCPOO5Q3NLmgy2aNpAB02rBHj+Xiz4Sze4L5fiPaDMDS+rCbr5m75TnTPlliRN0xG5NV\nGU6wxI6B4ftUS5vN00sQcoUCjlVE48DizhBf65ATRgicA+KtcdV8Ps3jAENZXgdAzt+6GedFWBMQ\nJdZxAywScEf6ZNRvYBXzYUlzCQVZO9G9PaDRbkzBC8gyerJFUsUIFBKZoOjAaD4zM5cEAQI102b6\nFmM+9j+j4WNb79imFtPNRLgZu+xfjAZoiTjOlqYEhWL3dEKRMB/Zvz34FKEuf/EgR7JFQXTvW5ii\nS2Cas93IIMlqNOpseZFIVYA00TaTmc5NL2gOiuznhWVfgi0xl2k6lwCL5xiP1nGhHYNMf8oHlpgZ\nLMoYkQZJViKsBUvkHdq6scQo0HG8rooMp7LERpMpKl03ECNlKKll8twyme8M8fUNEzgfskZuKIxe\nCpAEzWtgmr4z0jkBUZbPuPgf2W9SJjKTRgasAXhEMwfoCJDBtABjPcRW4SQihnwx1ig7RjNfUuMH\nv0E6Nr2A6OLpZzGas0WehQ2EfNbGgqQyN1BhiWRpcH58I3Lb8PEEIFsIM9KqCLl1B8ynmSW6eMkx\ntq/jf+tIlzq84XPHfFgxXRdeqGw1xdJq+5vHeVjmiBYtoHQLWo1gaKWDoIpnAKlFgMXLdO2k2EsG\nS2M7LyHY5rYCYpYwk2EBFuno3nbAmL7NZ7/BEgEkSwQAFk/N9OZQ4iJ7oj6F2geWHP7EmtLHfAFD\nvEqSRbr54ONVna0Gjs+2eWndC8S+yiHFQXUGelc+Rn0hMLppPF87+Hlp/VsgOfsqS3bII26Lb4cZ\nUFVwSFpQ/9cMujRP5gdgaVvcQGRP+709uBl0sQgomQnJuGCL+ZKaP07cPI0giwL7sJshmBpgN+Cl\nmNHK7BVkJjBmKl0cJ8CARxQhTmcAqt7ekyYIBusEY0pN0LNWYd6YSsAACAwa89JleFdC9rJkEXWW\nMU3nckwzJY8IbbegVZjOo/U0nUcBIEvdCyA0v6Z9xtjIMlgaOjaXF7HKbAvKkVZXfMjDKpkrGzMD\ngM7m+hhkTFHYq1gXlmiXwmTvUbswWOKVUPvIEv2aipQ+8jqHUUR2OOs1UfsMrgDIDBa5FVR5t8Ud\nPsj4ggLiekM/1S60MscXscVyXR0DKAGM9XXc3mtv5WE3bzSI8uifSkvHe7CIbNqOGrSYpnT4qJh3\nK8s1dkh/yEKijR9mVoU+AAC8IzLIgX0XtuhumGQyfYuAsUdttJq0TFdBkWB/QFRydjBUAQ2k+cq4\nceE1L7zgTEQdEFWRN+ZQsh4ucQ7cxCOyQEvUK+Ru2SO0sLM4h27Oj23xJwpfcOFHD2zMlDrxPPJg\nibGbFmBQNOlopNiagRIAfyA9mA6SB8BtYYlQTtDODBLZ3KfYsZMxxUF6kyUCFhirLPEq4nxgiXHN\nBEtsskNkRyPzJVqE2+pqhgQHmExRvF3pzXH3Ib6+ocDVU+wW8MkLQPMlY4KjA0LhOuQMhsiLfgUo\nRo+SNGXs5lFp5uOhzaOnNtOImgIzaGFvCJDh9Qp3iO7gsZkJ3XZwm8Bo2xEzNSkAvANgQLCwInUf\nHrPOAAxmaiAYk935uCr7DyQY0li/y5L/RTCtTJljPBtVeZQ9ouM18jwi1VktiZHfXPkTIZcC0ACN\nAWUzpdn9iK2YzqN3PPCWRTeGNAymlAUNmcVmhzA2P6aNTJsIIIMsrdv5aM5WF5boLE29cG8bHY03\nNL6kYLr5sagsUdxsBZCmfWgTR2WJsntAjm6yRArTnXuazJHfnBIcOzl23k/6Ay3jzhBf57hlMp8B\nYPWV5WcvAEjFqmEE1sBBbSdKiJaiXuiztBNt5H4n7miye+FR084pu2kT0ctjCf24wYjTPKLRTIIh\nm3XgE7sxs4sei7XbRBE4U0NQviEAdIqPJmNspkFrc6/kwBTXHOMIaMhNUGxEuNQCGL0Iw30bw8tQ\nzXkEKNpamBRE3rqTHlIGw7KB2p6mcxxDZQKJOigaS+T9EY06Ojdc+GJVZtKU9SIQrlsMbBGYYJug\naMzYtKOpRYwjyNL40fxzvF+xRBIsfViYLy9iiQCu/IlN2YsvzMrawt0kMjIQbgs7AFMdkYV+vUFZ\nzW8OCU6cG2CKtW8Shu9eLvN7GV9QQJwn7Nj2cymThXMQPPuufv9UK9E6OBiJX1h7MEVV64US0WCv\nfmwBERf4yp4AmY2ixm5PYBlpw0zQGR6VpgIAl8kCvDIL4BVSmhU7ZXqwAqg5a6+8UxgZYMVLzYRV\nPwYeFW4OiFGJ5lIB0Xi5sSGdQLALSPRY0yblUto5y3OpEkabJnzMI2xXEa9nCCvPReRsjd1sFjed\nxSpLx7wA828qhvV6dpaoo0P4EwzqeAitXwmyDDVx/tAJzkMZm5jpHhlEu17QeEdvD26WbitLdCnM\n4kOW7VmWGM/fAMTw6Q3XJhpL7NmyQP1/E4pXUHQw5Gg1sGfGS6P50M4eMYqlxezpILq3ELiP+7iP\n+8jB9yjzqx3P+Qdfyg6PzDBlXU+Y2MA0UtZAi3XK29Ujo+7EBuAFQC3iF05uc3g3aytJbga7iRWj\nps9l0CW0eKOB+oDIBupTNBwl/5ndx+lBIAbwiZfmwoisEdu/XSNS7BrG6j8sLLEcFPSUv+jM6QUA\n2cGbRy5DukOcRSWk85I9kia0EgamH2tAgWEZN+FPbPSA5oGk1vdFm2gHujlDUouC07Co797Sl3jh\njtHs9rjwZuaoDjRZzeYh1lJWhLB7xNn2xapbZwbJ2CzQlQxxSmGihiLzdmo2M3VnnwqmGW0GPOrt\nLNHmGGa2ifel7SB1e0qC/gAAIABJREFUJUJRLKTZnJpE82c33a80icCMOJtAW5fg4rwQ7wzx1Y6X\nmLWmunP5Cq0N6Ot3Z+NKM1eDDcs8EC10czsDs/l8dMsDkADZaZh0BgOdHi2TYDyabk4aQJQgEsUL\nIn0ufXYOinBziWoWhUQU1lPOoq9yEaJ/4ql/wPQhigIyCMoe6DhEII+gGP6ni+o0Vzc3F8NMXLHd\nzGYY6Giz/OLROLNFBlMRart+khU0rFkXUQMPL7VPb9AcEGjs+UBoHsFfIuBEFmTZH81cHZ/gEumR\nXrvQtt8WsznmQJgRZwDYWbDrBTtf0PiC0R5MOxoSHCr+1RSM7+B2bTZ3L+ZrbU2vAZFDHxhms7p8\nR3sCmwVW/JpZxPNmNtfMldAkNjIBPxBBq9nF/Gac+e5DfJ0jkousKfwxD+nGQnT+PZGBYwCbOD04\nA8yjkBUA9vo7LRFpZ2QVEI0JWMSy08BgL/1FHZ07mlhUkik66Dk4RpMoL+Ca+r+IZoYmD8DFI4sm\nA4rOeXoVaKlHc4eDoWsVlQHZZ7ZLjpKnXGVJPTJWVED75lKAkTIcPyDTjxiVf5pnj7TIsyZjqHmu\nQhdo8zQGruAh4Oa+xDbQ+gbWWfk75xJyIDFfIrH1lbnslgEEAKN3DHTs1HHh4f5DSy+01EJ1fSJj\n92vNfIodnS4ecd7QxuWcJfrDQqPcf2GJO1+MbUa7UaJTligReHKm2NOP2C3DyYHYDjNds0QZaTk0\n7GgwUIxrMyLOVK7r03GPMr/OEQzvNOuSCliW75PtFdFw/S7F0CmoAWrLUBCmHCKWK8yxhBviS6/C\nPJ/CwRgbtwTGC+3GTLh7yaieLSV1b2j8iad5MXj/xC5aDNAYHtU1syhuCJXds2LcqX9xs9nZ4tlQ\nZSi75EQIQ+KmvHEDNFjhhcgxDvBTBQ0rjYUxAJbJcndrhRqlxqI2Y6bUOVO0yLM7+8mYa5iu2zAm\nxdTRWdDV2XbfU+/HbYcOi+ZHsMfmZMcPDiB9/wQAcCEzn3du2JXRXZcozhQt2GRz2DODx6oQ7WRp\nfZ0fn2SJQEScV5bYebPtezqf1a3UvIYi2n1dVbtURnJNIlO0NzgEVzznOzSJ1gd6RpwBlIjzUwyQ\n7gzxdY7Q/z09GFj0iROnrqPJi9DbXzM8lU2tkGb9DYV54ddQbQZVGVVIugG7lnayTr4sgs6mBRvc\nHBgveYN0N+eUmjPGjk4fm4k+NltjiexGyX9byHosL8wggLGpFWA9e5DsXvjB3QuqwObRXzlhDdw0\nu/GFKJ288AJtMtEMkZ5orJeJ0SN3mxqke6c6bRhtms6AbR86mStg7IxF8clw06/tpsfsLm+RzSPx\nO8AjpUAGigTaH63AQhRdaA9+3C/YuXvKnsl9soOgYunDslFD44FNu6fiTZa4SnCKYNqPzWSJe6bW\nNeqeOy1gJqjYMkMLMEalHjB29GSJwzWJEnpHjziTelOsokk0YFyjzXZOZKbzHS2uuEcI0Hvq3usc\nNWvk6SGnn6pSWn8KMlDDFHsLzcwNAXtTcm9hCbtACdFKdPZkjqbgCroGEZ8uk3kxd/XOaGKmX+S5\nDuq4tCj/dcGFzZxWtqAANpqi6N3zeFUBCX+j+RZZ1XoaB1uE5/52PSV+qgHsllcsJYPExno5ZTHX\npqDLaqJBBbQVsx72kmgzpkaM7kzN8oxbptNJ4zSTRZr785BZNtvOIFhAwIIbbyxY1bxYbPd9Dn2n\nqNVMBKbpvDc0P8Z97xlk2aij8zlLHDIJ0lDrw9JvsMSU4BzZWhVLj0d07tj5wXyJLBiqGICzRDN/\nVYFoWTsclDO/ma2iTpjNAGaAxa83KmmkbWypY2T0Aojn6XzroLvJ/BoHwZ9oJyznlPncWomPY+Q5\nzOBoOG+9lim74wF2gYqq58FaJWshgJQtKSQJ0mSMCbYa/kBFY8VO1jN544ELNyva4AzxgR4ts4KM\nTYUfDsRmQgOgHWmWAjBTNW6+dpn+pJJJER3z6vD6PZCdjSlUn6ISrIhxzTEGqGuW/K8lsdijvFCZ\nFpwKsO9+/mgtz0UNo7kpqA17mxVoLBI9TXkiS6t7HC1N50e1AAsANDGzVPp2XY1mwAB5bFCvDG5B\nlkd0frDjzQ1DzZc4hApLNFAEYOeMGvYnWCLFucoLwF0MYy8R590jv7uDuz0soh1E1SUSdLJEr2xd\nzWb2ZSLAol7RW8FTk6imfbWSZiMLEZtQ29L5njSb74D46QcR/dMA/jLMFf8LqvrvHL7/aQD/HmY3\nrZ9T1V94fs3qdVxWkXC+vsouOWeJyxrLiVYUMCymsnjRUcBqDopnEESVYQkWgUhPs/XV5vNhesVM\ndwGaBzs6W5Rz44GHrFVoACmNMfgC4YYLNQh19FLINXt7+OwwZpSVF5NJ543ZfYGra9xS/SYYenYL\nqk9xVrgmGFPkHkxU0NNk351qRqRcoDtA9JhpdZ06hI3tDO5+POfDI0HJ2fc+XAEy3JdIgkYXdLZc\n7tbeoLVHcN8MfFx6MnvEDIBMhgMA3DzqzB17v6C7f61T9FXWK0mWmc8rS+xs7EvaxWRQw3PXj4Lp\nhSnu6PKIvV3QMBwUNc3W6I8zWeL0I1YJTgRXAGSApcLaMbhiDFHQEJIwSSXCDTezrfsd+hDfHz7c\nHh8MEMkecf8RgH8K1mT6bxDRr6rqbx1++p+r6s++7fpZx4xy1nSyw2dvC461QVS8N4D0niQOCNZw\nnr25t+WairKXf7fSUeEEj74VVy0546YXyoKvnSWBEQB2HtibyULeUDP9HjVcuDmYGKgwANoefSeM\nlZEKsAtUdLK2xd/ox8ZTnWO/Z44xJwANMYY4wdzqNhJN9wWzZPYIPcQNP0ueaYLBDt18k0TTdOaO\n0U2btzwQmmWQiE6mtg+APa3vkTuaCBq9AQC0tqN3T2vsOzA2aCtpdbIDQtmbpe2PEL6gtQdc5BML\nlrhPc1fxgE74VUOKY77QIZUlXtAd1JkvFtyprLwy9TCbpacfsWPHTh2NOct/2bGlfJBG5sqMPHNm\nrUSNUHvQeOVzdd+lUgZXaiofO0RY5oouYHw13mG1m/eND7fGh2SIfwLA76jq/wEARPTXAPwUgOMO\nv/UgKFpILE6A7/jZWTc94InHYN1SKeAqVLR5NDvoDTiroY6eifhiT3J30ANIU480ACZS5JB+G5GG\nnRnNH9M7G6gOZoxmbHG07tv3XijHkv/ADLiIgmQzEChm7LEZPDrWHsYa7Mybmw9nts72HnfCLJN2\ncYmRSWH44qmEzhBJgiqPOSfs0EGg3SqEdwfEajoDsH2WqU8U3zUIYSerF7gNRncJDABs/IDuLLG1\nT0D9YWWJ8ACL537T2NDGJ+jjwXy2/cHLbXneL1vbggjqAJPphy/xwi11iZnONx7Td2cLHfSBMiAe\ndU6WSANMxbfnAZZRzon6A3eQZHBluHTHrtV2ZTZXTaSdGzObsyBI0SU+6XZ6dwzxveHDU+NDAuJX\nAfxuef8tAD928rt/joj+SQB/E8C/rqq/e/IbENE3AHwDAL76lS+fFmzN3y4AeGCMJ+D4nN8xGGL2\nHPGlpPi/okGUkNev04vJI0jAMp/cRM2rITvTlCn+BczdxkLZU2QwYRfB3ow1jNDtEUMuLXugqAt7\nAYMpCtNUtskYRaES/UjUej7W/byY/1M7TX9iLbgwqJiycV7YJB8oTLGZMJzGDrrUwhUduoWoXE2v\n6D4z5YbevgPhhgd+wAiNoAZDZANEB0NxM34blqPMMkXTnR7QeUfvjxZRHTu0sjWxsAXt/lDlDTwu\nJtpuD+jyOCPOOuwhRkiWCEx/YvgSzXRui1/Pij5ss6YkGSCFT4/GBm598SOGUDsKT8wAS3EhFLH2\n0Blciai5eOGPajbHfgdAJ0uE+12LLvF23xR6myjzDxDRr5f3H6nqR+X9O8WHl47X7gH9bwD8sKr+\nKID/HsB/euuHqvqRqn5dVb/+/d/3fd+1Cd7HfdyHD4Kb4i/4A34/7lf/++iZtZ+NF+PDS8eHZIi/\nB+CHyvsfxHSOAgBU9Q/K218A8O++dOWcpfdrCaPK/HRhhddmtCwm47FT3umoDJHCr1iqjpAFPizr\nZMeu3eoUe8R4Uy806lWLN8tjwS7edU1cBAxk1eedCL2Z1GIX81mNZuazcINcjC2+OTzVrW/ax+a3\n20vFnM16K3PZ30vd9wu8YrabZp0gaMmIpLjD9hJkITQwXdBI0dvuAZZZiQZAds4zxjqM/tBm+jeP\nOCs1jPaA0SNFrk12LJRMEShi7d38mY8UuckXbHpB5wiuPIDGBh1WhxJHwfTYTZvYOi57vzKbO3v7\nV5qKAQFmqwE3YXfubjabrlFbh44ph5nNypBSKY6Ic5uaRKZZiDasikOw2mVdxYfo7hsA/t6F2oeG\nUulHdKH2NJmHs0PLBLplGN9q7vYpxnvFh1vjQwLi3wDwI0T0D8F29M8A+BfrD4joy6r6bX/7pwH8\n9ktWbMKA6R888w1S+Mni9QkQHpvPW4uAw2eHIMxyQWQamvsT2aKl4o71QaYxi6KiHZe8yXbqdqEP\nk6A8urQkcoqjRWYWFmDFLpQ34K6e2dGinBbjTVzG7udpfnxC7mJApPkZn+4jQS8EbVNqZH5FEwZv\nJagAMVC0mxZpVjJ9j6XVdbvJ2Ysb0NiseOtwfZ5ntSjtYPrY8rJbx8N2mY3a2QIcG9uDYB+MwZqS\nIAlf4jBdIwA8jj7N5vaI3h6h7XGazaFJLP5E4g28P5pgWbbFbN5dRF8lVEhfnpnNO9sDy3SMfv75\nYoVcff9Dl1ilMCjCeTObo7G8F6ItRR+O0eZI44tUvuju13jzIFXzdhTTj5iR5pLKZ8uMq/zm6/FO\nM1XeGz48NT4YIKrqTkQ/C+C/g92bv6iqv0lEfwnAr6vqrwL4V4noTwPYAfzfAH76bbZx1eUtP39e\nZnPVgjTAMCQpOp/kt7YDuAwh/ItsT+aMmLYLOj9idzlI5wdceMMjPWBj8SIFis2rzjDYcjlk1ioU\nV9OQp9SJEPZG2HvU7/N84MbQhxkZf/D5tQC9cLp55DkDLPG7PBAO8hfy/GJjrEMuls6XzwvyYhB2\n9OAKzZCNNBpozavRXFww7kLpZIm7pxjuFtCh7WPLIGkXXJrtQfgTN7ZI+94lWeJQpC9x97qJAPDI\nHRe5YKMH9PYly3Mej5MlcjfdZtK9HSTNJDpjw2X/2ATP/Q067ejc0L1n8VI/EJMl7sKuX3QdJT+g\n86M3CXv0Qxu6xHkNRuZKa1vqAyPaDMAr0vCVH5GErPF8+BF1Rpkju8nOJS1+RIs2r4Vj7dob8NpD\nlvBwA/feFUP8buDD2figOkRV/SaAbx4++7fL678A4C98mnU/DVJx0gL0Zt8SkLXoVvAERbJkfhBA\nV5oxTfPmzKwmXz6221JC0tD4Am3WQhQARnvAxm/QeTchMV3QRLLwqa3GQHE2HCoBF4m/Uh3GmYJ2\nKi1Ebf8fYDdBFjr4xCK8OnZAJiDGtd/8+Ng6CNoNaEUZ0gkilzRXAwwt2GJrMdO3W1UYsuwLyzEu\nKXVjR9t3Y4nkK5AxAyzc0NsMEAy+YO8XvGkugxHCzmQsUSmPDw1gizxjZjyyMbXuEefev2Qpj2OH\njg0kB8F0YYnU3hhLVEuj3Phi2UQkGLSmfaYrgd2twdbOKQIrnRvEM2JCl5iC6QJOFDnOuhtbqxWS\nPNBRajZ4YsBM5RPvymfHzITap2ZzsMQmaTYDXmU9Cho/Jbt5h/UQ3yc+3BpfyEwV4CgQXZ9aWV3E\n24MqwRX4bmLDdWWYvh2ruMyeAG2aOxZAIViuj2pmHv2QAEKrxVGBpF0yRWy0N+jtE+z9DTo/ovOX\n0OiN6ddcXGzavhmF3jTq8cF9eIR9EPahnrlBkO5ymQBEJiRFRJEZiqaLQceA7tvcf9+fTGeMajR9\nFl0YWsTmMllaZG9EAYrGxhI7ixdecL2fm8/kbQ8g+zTld6sWTtzA7WP0qFXYHvDAD9jdfN1awyaK\nXTS3n6azzFznx6HofMGFHnDhB+tW2C7g1qHtYrKb+vArLDEkOGZuu1Cbw5fo599T3IIlDiHszF4R\nx3WMoUkMtsfmWsl0vqpJVPchyiwLBiDT+aiYzXYqI8ps52XXlq0a0q99ZjbHPVDMZgDZGC3M5jPl\nhanD3p0w+0OMLy4gFk5/PEl0fK+aLULterqW4hA1C9BE3q96/9qQjKhC5cggV43XOgeTkoAfre8F\nAO6PaO2CNr6E1h/9hvsePPIbMH0pm0PFDWSDgd2YCAr4DAdDA8nLUiFGOxkCBiiqoquiRU5vBDXi\nwbELMmHLZTCXdAE0k/mEiV4CGiNkMD6vx93A+2OODJIHtIuZzgBMLH3ZQPsj6GJgaCwRiLJhSgxq\nLdsu9PYdPLQH7JcHbNzxwA0b88IS42FBUfyBGJ0Z2+h4JDO/gyW2/RHgxynUBtzu58kSvW5ib5bO\nd6HdfL9s5f4BWI7zoGy1EKmFO7sOFT01ib2ZyRwBlqhtmSzRq+BQ80CHSsphGJcsGxdms1Vf0vTr\nhkg7tZs1c+Ups1mnz5x1eKrBWXm4emG/duHK0+MLCYgmRXsL6k5YTvKZcDs0i8Ri0dAAR7IcUHtd\nnMqu8QqQzLzdRd8IgHs2aqdw2vdHtP5gN+hlMz9XG2j0pWy5mXOjmUaiStgKKTVmxBiiVjRUphmn\nF1qYYlz87EJpagO6ByCosUWRGTcmwiUA8cGq0eyNsffoVDd9mgNh2gPb7iyR3J/IDxkxtewR8+fx\n2ECXEIxrphrSvgGbsURb5gGyP+CBPcDROh7FAh17zCG3HxlBViZs44ZNrcl8ssT+YBHlsWGWwQkR\ne7DELYsvtLZZ5gvv6NLQPCpr/sTJEqM0WPfMlV2rJtHAPQMsV4JpzcwVdpbI7mapQu1qNsOuVkQP\n5zCbASza2GejzVIYoo40m2+N2/Hnz8f4QgIiPGukjlvO3lmua33qHYXZVehNTb3RvBde1T6jcmNW\nlKGxe4kxX08pRprKZeygAER6BNoF2j8xYLw8mnl2+fvQLlbCqrfdgfFN7CpqbrFkKp39NfYCCMJT\nNBws4oJkihko8uiyRTgDEHcDJFEoPs7iC90LuQo3jIfula39pvNc3iGccxIBNhhD/5jYM1AU3W+w\nS9vQ+yP65RFttyAHPPLsK7WDuG9gT0PU9h301nFpD7i0N7jQAx64Y2NjgYMVVMTjgAdZBmNrK0u8\n8AXSHqD9ATq2iAiVTBL3JY7N0vnaI7ps6G3LtgXNz6t1ApwgExWOQoKTARa+ZCHaCHZoyV4JV4WW\nLJIQaQPWjqI5QwyzecpucGU2A8ClysGK2Yyjqa4ygyoyMnOF9dxkRsnc+ryOLyYgAiWiFiCwnqjF\npD57qh1Zo5dvMB+jgrk0nVfxp/cAx9NeNjBbMdC4sQG/wElhXd/2Aow++BOAO6h3Mx33L5ncY39E\ne3hEu/wRtLY61e1G6MiOeRlMQAHHWW5MCjjgAivR9WAX+YPfeBgzx1bFNYFuRkc8M0p0PfDFdJYX\nS6sDjCHtFzOh90GuoTRQfNzhARZbvkXdQf4SerMMEn54dO3fI9AcnFybSLRBmxVv5b2jbf8/e28e\nLMt13/d9ztrds9zl3bfgvYd9BwiAIBaCIAiSoCkuokRqtRhJkcJSSnLsOIrtOJJdclbHkZJUUnHZ\nVS5HUsWWKxWnnJQily0x3mhKIiWBJilR3CGS2Le3vzszvZzukz/OOd09990HPJEACZA4VVN3+t47\n0z0zPb/+/X7f7+/7tRhdYlVGIy2NMjSditxMgRN7A6LYN0tsVI5WFUpphDIhS4Qhe0pZYrueJWrV\nYERDE3u94bWEGWcZJUbGWaKTkQ4zAleAIPrQ1jHTGwMdI9S3HTiJAEq4fcvmcB5wQdkM9IjzXrQZ\nIftKwaPWfGhEnyF2Lyyr91pAfOUtz/pc8Vi4FVjLlMLPdcGG/VZfoibj+d6caTCeV10zoHKdQ6lU\n/mmki7L/QvQjYd6PvE+AfoROOHAKmhplKqSNQTE+vzINUo8C4lq4V/HkH7JECIFoKKXlOrc8ZorC\nDs10NeLjibYNgqS+iUlEHb52cRzQxEyjlYNRe6M1zssI8MR+YpfmjKFxoKSgVAotE2HaYkSO1pNQ\njpoyBJ6UJfbz1y2ijkIVUsU2gw0Ai82ohY0akQotJU76iPamdoa/IEtsZOjptcrSqgyp6oEwLfXQ\nBx5liTIGbN3VPQUnKZmrTsUsMZTN4X0fE7UDuNIq1ZfMrYzzxlLh4z4v4AeOOIkQ/Z9fpGxuR2Uz\n0CPOXcoU90Wb1+fZEwUn0W/2W16IXoT21bq+LQMiCNpxtrQnZMRcb+3v6ffpdxd95uSg56NrXgqK\nMvp3xBJDd3Uobdoa3cbeoDKhTyjK4Wh8139hAiTa4bsGIYOeIa4JgdHWfakmswZlY+A1LVL7C/iw\nvTNebL81fkhGQ7Ym116nMD4IL2QjYm6bxA1SdtYOlBwAKRFSoFQQL+ikxuWht+WUpu0kjVY0reyz\nxK4dgnTVCJSUlCkgqg4jM4zKMaZAuQrpatBZeB/GmWrKRFycImlKtM4xuiJTQ5bYdArd+ZCtJcms\nRJgeZYl1Z7Ai0p5UFRHnEKi8ciMTr8TRjC2RvpeY5ozDi0sAiwut576M9d734EqQMdM9HSZ4KAde\n4hj4S0AH/cWqWecHxrJZjs7P/jz3jOaaU4Yo+6kpJZsLgJV4AsX2STjPOmy88Af6zUXB5NdQ5lfe\n8hAnKEYK13sCYGo4h/9f3+4QaxnU3sxxADSCmVXigiVKAoCSibQb0EjVNRhVolSYuPDKIJsyPl8V\nd+QjKdr3lBdcg1B13zcTed2XaxBLGRON5/GI2FsMwVCGLDHxAUcDGClb6XUL07ugPTLbf6TOty20\nAeTwTdy/kAi5QEmFUYY8BpHWBoCj0aovm10bEV+fUN8QFKVM/ECNkQYjcoyq0aZCuzJcRJzpA7Pv\nuiFYuwaaKoggmBLjViGoigYjgylUI4I6UOJIwkBTSlmi61TMEi2tsqGXmNBfWUeqU+plhqxexuxV\nRc3CYDUQp0E6HeSy4n6DCENE32WUBeskTqhBqKJX9VH7lM0+gl4tXdRJDPtxe8pmSTvqI+4tm8P5\nPYz09X3LOGOcwJwxoAOsTa6Ecb79y+bXeoivrdfWa+u1BfSUn1fx+jYNiCJq/a5ngenn3iwxZYTj\nvwGjjHG9jA7U7YGAm0qVMYtfi9DbMSJD6zDV4CLXzagVyoUxNCkVMpUZoo4yTF1fPtO5QI9xDaKp\nEa4Jt9jwl61D5Q5pg5WoGJWFif/mPXTNABrXzvd6i36cJSak0rYkuX8A0zaxdI+zxq4JmRqAKBFS\nIFWYILHjCRKlabQORGgT54y7AWBJytYqouy1UqxUEF2wKsfoHG2KkCE2IUvGSaALpTsEhL5RCG32\nLZvrTmN0h+sULn2Efr1sdp2M5XWYJe81C9WIMK1UDzYhQ4bqVXTJa5vgm61cTyFSoh2JPsQzpkd/\nR9JcfqTtGInaqY9Iykp9aPKwp48IA2E69BG7PtOHC6ufvaBKEnzohIqk8Fg2ex/7iV2/n240yidf\nwMDtOyJDFELcAVw9/n/v/f/zMh3TN7xC3/7CwBf+9sKBMKnJ7A2M/e9Gzeq0UnCUcuhUhma3R8ug\nX2dkg1UWI7OglhLLK610P+4k5ao/lX0sn33rwMUTVLkQGNsGmbT62pFJVOYRyvfHDNB5NSJox2Pv\nwHV+FORDUBSRry1NF2g+CSBqHdq5QIzuQtnsxzU4IKRCKdObX3Xa4qSllpZGaRotaXQqnYdqzLVJ\nTBbKRqKVwipNKXOMnqBNhXIlnbGhbHYuzvgmBnriJtZIXe5TNpsRuJI+z3XCtmsFjYyIszQ0KsOo\nik4l/cCIOAsxOAXK1EeMwFnnAgUnWn1q2SHjOJ8Qsq8wU9mcRvlaGUjaEAjT4z6il6oXd+g/uFEf\nERj5rXRxRjz6a49Q9fHUCoQeYpsMAqLwiGekor02A5g4ud3ARfQt+5bMgm//HqIQ4leBO4DPMgz/\neuAVGxDhwl7hpaTye4PhYPEYaSwJqGBQJ967UoYoo5Kykh1adKE3JjOsrLEqI1MlVmdYbdFp6kIq\npIz0ByIK3bb4psF7j3cO4VSAaGMPT7qEwMbsIe/CpxoJ14EcHcfo4veqjcBGMDZPr0MghEIKixQd\n2rQDcNM2PVlZOBf2H1VpfAqKSiGUQkVZLqMtmbIUNsOlLFErGufRSlDvQZwBKikwWmKVxkpDJjKs\nLtCmQpoqZIm6iU3R8GJ8F4RcRVMhjF3LEq3MsNJSS02jOmScVAlzyuMsUfRZYpBkMzhlewEJr8JU\nh5B6YAR07YA2t01kGDRoHQOicGihaeR6H7EHurrgq+O8HMAOqffvI44CVK+kPervJqAjZIkq2NiO\nzOz72Daef/dqQJnTGOkeYGVN+SnxEiMfcd/vDxfyf19t61IyxDd572992Y/kJV4XA0JekFojghz+\nfh/3uORO5WYvtzTi96UlRXg+JUCrDiU9RrVk0pCpkDnlMYuyvXKLwUjVK1uHSZdE3qvBe7qmQahQ\nNgMBZe1adOeGE7ggSP6bZIFqAhm4p+BEo/mROk0IiGnO2KLkBBW/3CpzvRqMaqpQurZuQJ4BUZUh\nKOo0UmewKiOP3MBaayqjqNshS0wVaEoqagdVIzFKY5UJWaJqMHqFNtlalkibEKIgRiGcQoyyRN1W\nGFVjZMgSlVTomD0nqf/Ei3St6DUVm07hZNAsTKIbShmk1PuAKw7R6aiCE4CzRIfRou2J2hfSb9aF\nN/qSORG1Ez9wXDYzkLTXZozTfLOyA7gnOkRs6/RJAUPJPHbmS8BKr+U5fn3jDHG03+BXtP/6TiiZ\nPy6EuHUfc5dXzRpLu497f6KnW4MfnTzBQcLTj8SNnsv7EOzG2WMiPo/Jv3HPsUcmkdJjlaLSHVZp\ncmWolSVTGYVfUZ05AAAgAElEQVQNyHAnNV7pEBRjthh6OgEq7up6yMyagSMo25CtqK4lSxlMQdAs\ntIMuYNulsboQiOomBQUfz/ukXWiQ0qPFFCDMG2dhnE42dQhIrsE7F9DmrqMjipWqwanOaEumM5o8\no1aGShvqWDo3CXFmqLyFgLoRlEpilMEqRyYzmnGWWJcga0REpn2C0Nt2LUs0psSoHCuzMIXSKWoX\nLRSkj21asZYlNm20ePWBkzhI7lt8am2My2bh+8xctg2qbfq55MAyaKMoxzo/sCNOD41kwWDED5S6\n9z3xsVroT75R2QzjkbquJ2eHXvD6dyDJtIX7UZiDcS9xTx9xvE9Y611etGTmhROOV8O6lID4DwlB\n8Rmgom9x+Tte1iP7BtdApA6Bbi8/C2JmJwi2OSL2D4VA+i6cNPExrReIqC0oCCcxkn54P60UFMP9\nITiG75CglKCVxGpFZRSZ1hRa08SS2anA48ulIZMKndzyQl0bBCTaFu9avB8Com+C4EDgxXmydECj\noNh6iWtNf5xt5AU2TYf3IThCUqRRob8pciCWf3YD1dbIpkK5CuoK0URwxcWyXghYRTKzMihjMSYn\n1zm1zqiUoTaKykmMiyOGoynG0E8E3QhqLam0oZIWqyZ9luiNhabuQaV+emacJZoa5UqMrtDKYYQL\nFJwYrJtW9gDLOEtslYgTLjoq0oT3yyiDjzch3RqRPpXNyTK0J0yLtgc65D5lc69ENHLQc15Fu1U9\nGMunoOiHrC2VzUDsJ7rof3JhUBzPtfeOgL0ykVwvm0nUm7A/MebI+mF8daymfsG37jsgQ/wV4N8H\nPgNc7J14RS0BPR9wv9VjZP1nHQOkGAMrcu0ESiWGEyHba5OxUBsyypA5+l5iKo3O7Q2MSgbJ/1IL\nrFFUVpGb8DHUWtNog8vDfGsug2STjFmC9B1dDECp1u3atg9Msg2WntJ3fVD0E0mn1R4lGt2Xrc4J\n2tbTtoG7FvrqAq0UKgrXGllgTIPJAsAhXYWsa3Au9BBjZOvquucUojXCWrTOsDonVzmVCkExN4rG\nCWonAmg86m06GUCWspFYrcmU6bNEo1cok6N0CY0a3lRPnyXiYr+zqdCmwnShlxjAlTRW54MazoiP\n2UVOootBsYllM4BTFq10lGwTQ9m8Bq64XnwBAtgxLpsF62VzyhLTuRXOs2AI1QkVSdNxrnkPSTuV\nzTBkbkEnMdgLpDGE1Ef0PrxPfU+RJOw7LpuTGdn+GWJfqsf9XUzx5jtB/uv5qE77KlpheiStvR/e\nBW3fFBhT5hi1/lKzO/VfOqJviQ/WoUqOvIeFWDtx1wVc6QENAKWglAKjBXUjyG2UtreKxioabWht\nsBvIhcYK2Tvlia5DuEiSBrxr6bquzxxlm5rshKAoBN1E0WqJszETaSWuVSEoOmjbYKNZN0ObQEnR\nj6EZlWHkFK0dOqtQTYnIS0RdIuoqlM1xgsTHkTqhK8RqgdIZxhZkpqCwOZW21K2i1DJ4wbTDe5OA\n60YGVZyqUX2WmKkcq3O0yZEmgyjuIFyQ/R+yxEDUFilLNBVaNxjZYlQMiBFgSa2Pfu47gisu9vVS\nhhisH0KG2JfN/QfdxrZF05fNYR91XzZLEXrISTwoXGh9Xzb3GoZpckWa6NioQz85ob9RhqwXCAGk\nd2t0mFQ67+0jjs/J8QW+t89dI2jvCcAEZF6Ms1N/YUBMz/VqXpcSED8lhPg/CA5XVfrlK5l2A8OM\nL6wHxPFMcv+70Yc7FoMY7qeAqMKUQeSOhUxC0ShF7YIO37pFo+iBjPBl9315KAXoGBBXddhPlRlq\np6gzjbNBKKGbhC+gFQIVA6Jsh4AYPEg8bVXTuRYVe2qyC1mCFZKpVHSFojVReMFLXJdRO0nTiJAl\ndp6u9dShG9hnsgBGa4zMA3XIztF5iWxKVF0i6tBTTAE5ra4qkUohzC7KZlhTkOkJucyptCY3mroR\nNC4EJhgmWFycYDFaULqQJdYyo9F5ULZOWSKAqkNaGeXBQkStka5CuRrtAriihcNEdFRJjZJ+7QI2\nBMXISfTBEArop1d0nDAS0gXP5raFbghQsnVrGWIqmXXkpyYFnJ4O02tWDoIYbbSQHSvfrPUR48H2\nEnVdy1iaS12kjxjYEen+WBZs6CP2wXCfsjfZlErvYum8//pO6CEWhED4rtHvXhLajRDiPcD/Skja\nftl7/4t7/p4Reph3AyeBH/Hef+1FnxePou2DXlKoCfe7i97fu3oT+tgbGTegWx/Lqi7o7xmpg3lR\n7FOpPjjGq3ICJjsfR+k8ohaUCoyJxOQmZkUu+H+4TOGMppsopkKSMRhDyZQhti00LvTxYubovUd1\nQf1OCUkWr9xtEfluRtFkitoZGheCknPBOMG5yOJc0YudaqUiyFFgzQyTVehmhawrRFWFLDGWkX1Q\nrKLIammRdoGxuyFLzHJKlZHpFmtkKJtTyRxL2MaBVgFxrk3sJaqMTBVYvQzyXCaUs6IqEUrhfeDx\nDFliVMtp61g211S9d02HlhIl6fmZbSeQMUtsuzDK5yLYEUQfDN1+ZTMMIEfULAT6fmIKiioGxEAr\nj0hzLGkHlet4sY0KOEmaS6SgGHUZhReMpclS/zLRby4AV/ZwZxNDIvUSB5EH1fuL92OD6XvhY+D3\n/oVBlZewh/hyxYcXWi8aEL33H/pGdnCxJYRQwN8FvotgQv2wEOI39qDZPwWc9t5fL4T4IPBLwI9c\nyvOr/krm9w2Ca6KvUdljP1N7GE6kTo7c84SK1IwgTFp7S6UsVZuUWzQ6Th3IXn4q9a06GhdM4QFU\nzMSqSlDlkqqRNM7E8lzQGYkvwv9k3qNivxCIiHNDVzd0jeuDY+oxhtJXkKvwpQZwRlNbTdNK6iZm\nao2Iav2epl4/LqUERiuMysjUBGsqbLZA5itUtQxBqa7DsaTI3zT4WuFXK4TNkdkCY6dkekkuCyqt\nKbWiVJLUdhzzgesYFMtGkhtF1RpqneF0TmsypI4cQW0QsXwOH1Li8zQxSyzRbd2DK+GzaSOK7wNg\nnHiliYITLV2djxcQ9FA293SYmElF4GFcNgOotkFpF+fZk++JGoEdA5c1lbJuDx2mn1oZCw/DOh1m\nD/or075GciZjcCWdz2O/lf6CLxMFZ/8MMdhmDBzI/dZLlSG+3PHhYutbObr3RuAR7/1XAIQQ/yfw\nAWD8gj8A/Ffx/j8B/o4QQni/TwNjtAISNugVpgAI9PL/KQBK3w4IWo+s7Z81Do1n2X85nLK00tCo\ngKSWMiCzVST2amXQKpFsY1Bsw2U7lamRY01VQVVLqlrSNJLaaVxX0OYKnwn8JJyoue9CaQwo1+Ab\nh2wcXePoXEvnQpbYB1wh0cpQJO+WmaExQQ2mdnJUOkvatqVtPdQdZfwSKikxWmC1Jtc5Vk7J7ByV\nr1DlApGtRkExvldtS1fVoBRytUBmOcaex9oJRTahVBm5aSlNuABAUDwL2ZpHRNCncYKyUeQ6XHTq\n2EtUOsBG0lhI3MgEdLRBHkzYIDSr2wCu6PjZBC8X35fNPR2mB1eCa2HTDRmik5Yuoc0y+drElawX\nxnSYxA/Uyb7TD1Mr6Xzqp2WGDNFFe4E0tTJMkIz2NzpHe9Q5ys8l35NBJ3PoVcp4oU8UnLXAKIJT\nd8oQ17xd4j6Dr9Dw/dm7UmB9idbLFh9eaH0rMfLjwOOj7Sfi7/b9Hx94JmeBnf2eTAjx00KITwgh\nPnHq1OmX4XBfW6+t19aLrTER/IVuwMH0fY23n97zVC9pfLjUddEMUQhxP/B730i0/WYu7/3fB/4+\nwB23vc6rrhmVxoP685ofyigrHCgFkWy7N1McZ4vRIMpLhVWGVge5qEYX5LoAoNIFmSywMsfGueXQ\nkxsZDjlP23YhIyOUq3UtqStJVYXsLaDBWbiiW4EogjRTImCrrkU1TV82t3UAOLookxUOVwbNwjhF\nUqgMN7U0xlBmmqoxVI2gqgPI410Xe4nx5QrQWmG1JDeGTBXkZo61S3SxWCub0xye9z6UzZUCWwbE\nOSuw2W4EVwpWypJpjY1nYeMI/MA0nOPAOEHlJJXT1MrS6ACumHHJHMcGfc9JjJ9l7CNKF2wJjIoI\nsGwxqu37iKmHOUabm3ak/h37egP9RoeMTYrQRhyLuCbRicgPDHPGbdDKlOpCYIWhzBysY0P52o/U\n9T1E0bfu1kCV1EfsR/hSz7JDjHKeVJpLHzmRcgysyNEI3whpHnHGxt+Ti63u0nOsE977ey71n79Z\n64VK5p8A/q4Q4kvAbwG/5b1/5iXc95PAFaPty+Pv9vufJ0RwU9okNE9fcCXOXuoRym4UEFOJnBCz\nFAhHtz4gpsZ1cqAb9W56KoTUaK3pdIYxGdZMAMjshMzMyMyUTE0wMkcrG3yJRZyG6aBrPS4GEec6\nuqalrgR1ragbTdMoXCvpuhw/E5CBmPieqJu1DdI1KOdoqxpZ1bimwbtgxdnD2kqhYkDMlKbTlrrI\nqayhziVlrSltCIiuEeFY+oAqWK4E1khyq8l0Rq5C2WzyBbJYIMsVYrXsJ1USuOObhq4skVmJKBfo\nbIG1S/JsSq4yVlpjdAJvBBFwp/OethVhbNsJ6lZRd5raZzgVeokAStsYFOshQEU+Ii72Edtqbc7Y\nCIcWBiWjEMLIYqCfM45TJECYb47eJ52IpGmlEO14zC2StPuSORlCuUi98RcAK2nYpS+Zu2GUL/ER\nQ+8y9qFjGSs63w8NrF/Mh6A4qDClnvgIUR+N8g3AihpU5mN/dK8lahzJ6L9X+33z9lp1fAPrZYsP\nL7QuGhC99/8RgBDiZuC9wP8uhNgE/g0hQP6u9/7il4oXXw8DNwghriG8sA8CP7rnf34D+Eng48AP\nAf/60jJWv3+vMLywcPIQr+rxln7fiyQkhWaICjOj4ds92aJQCqk13mRoG76oJpuSZROybIPMbmKy\nOUZOUDJHCgMIfHTEa2IPrWtamioEkrpuaeoW1xic07SdovPRWCr3iEkM8G2DdQ2yrtFVTVfVtI2j\nXVZ9PxFAaNUHK6U1mcmZ6YLKZKwywypXlLUI/cu6wznoImeoKgM4s6sF1ghyYyh0TmFnZHaOznYR\n+QKR54gyMLOEEKGnCaG3uFoisxyVLzDZksysyNSEXLdkkQ5U1gqlQsbmO+gEfR+xcpKy1RTK0MiM\nNvYQO22ROgNZDnO4KUt0DbhgGWpcidYBfNHSrfUR0xRJl4LhqI8IMUOMWaJXehB7iFlUUN+RcbZ5\nEMTo6TAiZG2hr0ecmhqmpdIp3foA5nQqWrqKEAyJlq/r1JuRdFFUtl4DVqL3yX7+J6lfuu7IN0ys\nBEuBOuxvnCnGJENcjIfIS0q7eRnjw8XXpaDMXwC+APwvQogCeAj4YeB/Br7ulNd774QQ/zHwYQKs\n/qve+88KIf4b4BORDP4rwK8JIR4BThHelEvdQ3/vYqz6iz80lshrEvqhLI1M5iDLlaBJGWd4lUJm\nISBKm6OLKXqyiy12yfJtMruFVXO0nCClBSSdV3156lxHU7W4pqWrW+qyiYHR0LYZvlNEujUyjyjy\nLJi766ZGVSW6LGmrmlbWuLLpAyLQB0RjLdrmFLZgPsupTEaZa5aVYZULqkpS18EAHaBzHWXp0Fqw\nsIrCSgprKdSE3M6x+XlUtovIAsACBDEKInG8qhGmwpdLRLXC1AtstiQ3UzKVkUWFHKsllRI0QtAE\nbkicaEkUnEDUruWQIbYmR+kFxCzR99l8zPCjDYFsg/cJRHc/2Yag2BPrwykzLpuH2W8ZLBGkoY1y\nYr3wQo80xwvsqGSWbdNTb8LNj+aaw9RKcsaDhDjHoCgHI6iBoC1YE19goN0kOkwCEQcV9zQ66odM\nFIH0fo2gvVfogXHZ3H8v/JBEXOyr8xIFxJc/Puy//lQos/d+BfzzePuGl/f+gufy3v8Xo/slIfh+\nY/thIJsKuqgzB8j+R6wGukFMQbT0jGGISGJUd6mrXtjAR0QX4rSKCWWpyCyyKNDTc6jpBnq2wExX\nmLxG5w4l5kiREUrnONzfepq6pakdrnGxp+hoahe8lduMzmsgQ4kNAHTeomY1s0iUVmWJWlXIVQU0\nMSjG0lenOWOFNhZrc6ZmQlUUrDLDslCsKkmZSapK9KILXdtR11CWLVoLMispMs1E5xR2Sm7n6Pw8\n2p5H2tjbMzqUy5Eb2VU1oiwD4pwvMPkKayoy1fRqP0YrtBJIOegndFEeLARGRd3GXqIKF4ZMWTqd\nodSILtJ5INCRRDS+V67uNQS1DhQcLYc546af5oiz3t24ZJa4TtOqSL+JSPMY+Q20lKHXvOaj7N0I\n+U0Sceuk8PQzBak01zyW5lrbX2yF+Ch8OPQR29G0iu+R5nbP/noJO7hIH1FcSAgfv85vgrjDNys+\njNe3qWJ2WIECEEJe+vhEEnoQoVQRQuFlPJmiZagQsg+SAF7HvknrgCCO6l0bSsKqpouBESCR6qRW\nyMyiirOo+QyzcQ61uYueLzDTw+i8RYoNoBhmWVtN03S4pu0Doe88TeVwTYtrOrzPAYOSISAouYHO\nGvS8omhK1GqFWa5oVyWubOKtHgRVCQFRZhaV5WTZlKmZMtMTlrkNt5XAWklTh9fkvKdzLeUKtJYs\nVoLdTDGxlkJPmJgpNp+hiimsFmEfZhUsVX2gAlHXyKrCVyWyWmLqBVm2JFNTslj+ZtpgQqIdyuY4\nVpiyxLoNvcTGmz4gugSwKANaQxP7iKMLWFIY120smbs6KFqLDi0HJZr+vPGhn5dkwtoulMzOR8J0\nmiJRKih2p4ZgOzbmCoIPqm2Qul3rI45phWuiC7F3mTK21Ee8AFiBUcksEN3QC09ls4oMw73ASlrB\ndEvu20fs5cfGQXgsUnvRqvQ1C4FX7PJChauZUL1gR/xLf29MyJY+EE6Ftsi2wSvdu64JbYLWX3x0\nElmgjny7xtGWdc8DhABECK3QmUXPJiEgLs6TbS9QWyv0RoXKHEpsAwGI8V7inKFpWqrKUZdNyBQr\nH/qCbddno6EPCUpOwpzupEY3S2y5Qq+W6OUKtQjy/m3d0bmBvCy1QqUMtphSZHPm8xkrm7EoNItS\nslxJpIpfhqaNY30tZemwVrDIFYtcMzMZq2xGbmeYrEDFloGwNpToQsSxPhmyxNUSWaxQ1QKbL7G6\nwsqAzFvdYuKMcyMSVxNUN/QS6zZkiU2yKlCWVluUifuTKozVJUDJuUjSDmgz0CPOoZeo+z6iawdw\npe2GUtZ1Isw3E+eMY4a4l48YeonDBIlsXW8sv9ZH3AM9dH2GGEf59ggvrAWoPUt0PpwT/Vhd2J8Y\nlcywl9cd3ttxRtp6tdZHHEynUmXV9t8ncZGg6KG/uL9a16UoZv9F4B95719F5D5Bt4fM+kKE0V7W\naMz6Nw7VBoBANRVS2xAgtQkWoV2HjLJXbVXTtS2uDH07gLaOzXUt0bnFzidk53axu7uY1SKUuNsO\nWQyZW+cnOKdwztLULfWqpl7VNHVDUzeht+g6us4jolah1hqjptj5AexshapX6OV5zPld3GJFvVvi\nu4q26dZoONJoZGYxeUFWzJlmM2Z6wjTLmOaW3VxSluE9qyuB68J+q6plVSoWS8luJplmlomeMLEz\nsnyOzM+FfViLNJqukuFC0TSIWoUssVwiqxW6WZLZkCVCCogarUSfRaVRR9eKGBBlRJtDmd2ojEzZ\nSJjWCBmrAR/EFtMon2ib4fPsXBCqiCWzlr6XOWz9UDanDNF10SVvz1hdOsgejU2+0dBPzIg2IM1K\njfqIcjQ774fZutYPZOnUR0zAik9Ur4uUsQnsuGBiJVoK7KdT5Qn0ry5aoo6Vb5IeY5+RjlWFvgk9\nxG/VupQM8QhhbOaTwK8CH36lcxM9jLwiIpq3Npc8XKPT33tflJFvhE6+FbZGuxKdhcxGGhuEC5J/\niGtpyxrf+T4QNssKV4WSV0iBne6SnT5PceY8xe4CUy6ZNjVyp0HMInjBQbpuSu00VWUpl5a6rKnL\niqZqaKoaFzNFKdNY3RStNFbPyaaHsPMl09Uuavc8ZrHEnF/SLCua1RhgWSK1ROUWNSmQ0zlFPmO2\nucGGLTifayaFZLGM5b8Kjfyu7WjqlnLlWFrJolAsKs3KZpR2SmGn6DwEN5nlIUvUFVSBY9nVDV0V\nSmeqJapaYvKSzIRAlckCqzxGheo3aTS2XUj06hEFJ43VNSoLtqHaIrUO9fYIbQ7Aigs6iTFDVG3d\ngx06KtHIC8pYetvSsQJOG0f4uhiAkZpQKsSIMwLixJ6sre8jknp7g2VF2m+fIY76iL4HO+KklBSI\n9FGOBGPFCFgJRlB+AFZG1JuO6NXcgZajmWaSyMN6mU58ZH//onqI3wEB0Xv/C0KIv0EQd/gQYTzm\n/wJ+xXv/Jy/3AX5dSwhaaUgeDyN2fJA88uuufH5P70PSIaRHyygHb1wQCGhLbLbAZFNUNkHaM6GZ\nz1A6N8vw5W6blnq3pl42dE2HNAvsxDA5tcv07ILp7pKiLCnahgPx+uLngm5DUrsJTWMpVznlsma1\nKMNI3SoExW6kJSaEQOspmbEUeoO8OITdOIfdPovZ3cWc3UWdC8ivq+L8c+cRcomyGpVn5LMZZjJn\nUmwzNXPmec75zFLk4QuwsjJkiY2nrhxSCVYrxe5SMiski9wy1ROmdoa1ofyXedGXzUKKoeda13Sr\nJapcoeolpllhbQyIqsFqi9FBbUfFUT7vfRCxcSLMebeSOs6MO6n7gOi1QUjVg2G9f3NkCSQEWEXE\n2cg0ZxyzqDVghTXLhRAUVe9FMgQNcUHZHPad/FZc30dMJXMP5OwhrXU+cRHXZ427Pjsc9/RGPeFO\nBkCw12Vse5GHFHwvUNBm4EB2Ug6E8JHyzRpBW8ihj3jRNZi5vVrXJfUQvfc+KmY/AzhgG/gnQoh/\n4b3/z1/OA/x6lkeEUiOVASjamBGOT7Q2mnenxvLYjEoQGuAQHPSCnl5DbkqKbJc83yDLpmibo7TG\nShEzxJDWuLKhOlfRLBzliZp21SG1IDuyYH5ySXVuyeaqZFLXFDHA7QDdTNJsSqomZ7nMKVcNq0VJ\ntVhRNY6urEI/cUSn0UaS2QlFVjDRByhmu6itc6hzZzHzs+jT55Fa0e2GDMlVjq71oZwvcvTsFGa2\nQTHdZra1xdxOmBWac1l4z4xVyCj00LUddelYaUWeK3ZXit1CM7cZpZ6S57NwTNkEYTOkCWVsFxAS\nurrB1zW+KgcKTh6kvIxs1spmGfuIXQetiJMsLX3ZDFB7G8vmOGeszfrcb7RNFZGkDQT/Ez9MkSRO\n4t4Mse0zxCj130laNfQRe+pNNAYLZXJqCHYjoCMp37jeGW/MR0wPEbGy3a+P+EIlcy8YO85Iu8GJ\nL2SKo6A46ln2Fhppf+ztW8ZKao2kvX+G6BmJL79K16X0EH+WMLVyAvhl4K967xsRLotfBl5xATG0\ngINKtEP3QRCIaGHqCcle2aTzoWc0No5KpFYhgspyplsy5ZjoDSb5ipndYJrNyLICbbOe5wehh1id\nLxGqxJ1rOfTut/d/64CnP/37VOdLDqwqNmJALHzHoWOCdqqptw+yKg3LZcHifMnyXEBvH7g3jGp+\n7BOn+udTSmKMIs9zptmMyewQ2fwsk+1TmNOnsRvn0WeWiBjU3LLBdx5lJDo/h5nmqI05er7FtNhm\najeY5TmTmCFmVqK1AhramDbVlWO5VCwnkkWpWOQZpZ7QmNgPjACLMGaYXum6HpmXqyWyXCLrFbZZ\nhv1kFZmcYJVHqwDYi8gGaFs/ACuNpElit15H4QWL17Z3//Mxo+mzROeCFwxEIdd6rY+oBBfQb3qn\n0yjA4JL4gtBr6O+a0MOodF6zF/DtSLh1kKMbryT20HnRn5ttVFYaq1qvCz2EMNQPHIz7iCPpsQsU\nnHwgvqfWQMgSR0BOtBRImqBr7n/hGS44fvx3AKgCHAB+wHv/6PiX3vtOCPE9L89hvbZeW6+tV+P6\nTugh/pcv8LfPv7SH89IsD7Reh6Y0UQ6+G2WIyYO3C/2ophU0bhArde0gHJqWlKCVJjMZk6xgmk3Z\nsDM2p1ts5pvMsinG5hQpS+y6UDbv1uya1QXHWNxwH499+CNU56oemd52LYWQHL7cUE8Ny50DLFaW\n3fMTFmcnrM4v+se/+Z4DAPzuwycRUmIyTVEoprkJmev0MNnmSfT2KezJ05iJHTnVeapzoXyWWmFn\nOWbjFHZzi3y2wyw/wNRMmebh9MhzibUSpSQN4JqWqmwwVrFYahZTxbLWrLKcKmaIeTZFZVkEVsKY\nm++CjWpb1ci6RlQlsl6im/D+2KzCKIfRXfB0GanR95YpbfBcqdtou9BpGhUsQ60ygY+ohj5i/8DY\nRwSC2EMsm4N/chdnmoeWWSrTIRpQRWXrAVgJ6K8a02F81ydOopX4yA/sCdpJ6GEfLiKM6IydGM01\n7/VO3pOB+cCzFW2LUG5dQVsMSPNACIcxKTz1DvupFYYJmd7oilgyv2gf8Tukh/jqW+KCYJi8b8eB\nMEw+iKhULagaqGqoak/TBBFXCBMknU+y/5IsE0wLy+bMsj2bcHAyZefABgfslCIqORdSRipOw+pk\nue9RHnr32+mAJ/7gE2E/rmVHSqZac+TygtVGxu7OnHPnCs6fmbB7OrvgOR64d4ffffgk2miy3DCd\nbrIxmTDf3mE6P8x0+3ns9knsiTPobIgwbunwbULAz2HnE/TWSfTmSSbTg8zNJrM8cAonhcJYhdKJ\nQN5B5SiXDctcs1hJFlUomzfyAKo4O8Vkk0C/0RqkDLSfjkBmLytUuUKUgX4DYNsVmayxKsdqHcVt\nQ9Pa+9BLDLYDoY8IULcap00AVpQOZOk1rcLgtZLEHiCSpluH7uphhC8izRDLyJEuRphaiTev1tDm\n3ss4CUukldDftkEmgrYf/E6U6JCoPXPN0VYgARyp172mjTiKpON9jUUe2qSeva6NmB6Whv/S/ryE\nNYK2VHUyxDIAACAASURBVCMgZ6TeO/65z3qJZ5m/JevbMiCGrkryPhnY+BCIqL0icid697eqgWXp\nKUvPchWoJeUqUmhqR10PclrGavKJYT7P2NoyHNre5LLtCUenU44cCxnShjZMgS72Ep/48EfW+ojj\nZa4II+GPfez3ATioFJs25+ixCYsDlnOLjLNnZpw7NQWaCx7/wL07fOwTz2Eyw2SWsTGbsFnM2Zwc\nJt98DrX1HNnmDDuNHEG1oF11NOfDN9gUC+zsDHZrTnbgJMX8JNOtHaZZAEgmmaLIJedjQOzajq7t\nkFqxWjYsFprdqWI5MaxsIFnXdko27iPGaNO5DiHjhE8Zxw3rkCHqtsKqGiNbtPKBjxi/j6HN6nHK\nU0fbA2DwP5GWVmXoMdhBCKSid+OLAdHVUQEnONWpOEUSFLRH2VM3/ByUtFUY4RtnUHvFYsMRR8+V\nGBSjgKvq+YHrIg/hWNeR5kT1GSPNvQpNv88I5Ih1FSfZpTnqrlfYubCPKED4HlgZCz30lLURyhzs\nSdOEzAWn4fCcr+L1bRkQISJoCSB5kVQ+USycg6rqKFeO3XMVi92Q2S3Pr6iWFfWqoo0AiDaaYjZh\nfmDGzuE5zx0tOH3kIIsDISBccTTngNLM2ha3qlidvrBs3ruKG+7ja7/zcaRWHMwzdvI5ywMzzuwc\n4dThgtPPz/iDP3qMN94xv+Cxb77nAH/wR8+RTzLmc8PmNGMr22G+cYTp9jPYreexs6gYHUvh+qSj\nXXUoK8lmlnz7DGbnJGbrFNPZWWZmE4BZYckzGbJEJek6T9d2iFVNaRWrlWWximVzHrLYWk9osynK\n5ojMDsCK72hrh6xqVFkFYKUK741pVpiswSqHUR1aBfpNT1xuwbVhoiSpbAdZMEOjs0C9SUjzqHXh\nZSgpB6e+MLmi2hptXPRYuRBpTh2T9gJrARWd8YJ5vY8ocz8HD9DJIRBHz+z9keZRyezDAHcCcQb/\n5IBsj72a+5XI4NHGYF9gJY3wRUe8vXaofYm+D7DSiXCuSFFHYOWFQZOLMxRfHevbNCCu8wp7T1xA\n4elEF8oEKWgVGCVoRpSrtvU0taOMAXH39Hl2T52NfbvxW1YBFZ/47cd56oojPHPNQU5dE7Kq3ePX\nc/3RjCPAZtNQnVvyyD//bbbvf/AFj3x60/185SMfR+eG7emUI8UmZzdnnDw058ShOSefnl70sW+8\nY86nv/Qc042CzY1tDsxmbM8Ok28dQm89TbYRgrXOwms48j0PAXDqox/FTA3Zxmnyg6fIdk5SbJ5i\nPjsYjimbMikMWab6cb42ji6Wy5rFrmEx0+yuJItJCIilmeDMBJMXSGuRNkz40Hk8bZ8h+tUKUYWS\nWTcrbLvCyhQQhwqx8x4fL1pN0+vQ0jhJ02qcCgKuXiVy9noPMSgVxew6krTHBO39Z4zD/dBTFv0I\nX5ppTn095NCKGGbGu3AR6Mvm1EccGdiLvRlboK2M1XYC1WdsAnVhUBK+C609GWwMkvuf6hqkHszr\n9+5v/Dp7+g1irY94QYbIxXuIacrm1by+TQNiWEL46MHcYeLJ0PlwtdSdigKhKn7mwcjduTCyJqSg\ni9+IelX1IMZ+657XTYDzfPxfPM5zt14DwOnbj7C64Wrao5rjXcvOYsni+fPs301cX9Ob7uerH3kY\nMy2Yzbc4dv0OJ3eu47kjE57b2QTOX/Sxd95o+cKjz7O5XbCzVXCw2GFz4wiTAzvYzacBsFOLKoYT\n98Bb38rZh3+HfCOjOHgSs/M89sBJprHEntlNiiwERB21CzvXxfJXsFwYFgvLorQs6zBjvMoK6mxG\nlk2Qaa5ZikC9cUFJSK4q1HKFLkOGqKoFpi0xJvARtfK90ZWPBO3GQd2EshkIDoWdovbB26bTFqQK\nI3zJRta1IAQiRlHRO/JVQehBBkXrIWiItSk8IYZZ6qYNPWjXT6zo9RJ2PMTlGoTTYWzQ1cF4yrt1\nF749ohKJDpMsSvuyWcqLAyudR8iuJ4OnyRXpuz4AixH1Zu9c8yCKG0AcH0dfE/cR6Mf41srmfdZr\nJfMrdCWulxdi7aSDSNyOpOxcKwoTfIKNVigp8d6Gmd3dQOTV5tLepvvv2gLCyPfvfPgEZ8/eQHnH\nlYjjnuPVistOneWz//fHmd50/4s+l73qXr76kU9z09acnc1DXH5wh2ePHOSpwxs8/PDT3Hv77KKP\nvfmY48lHT3HgwFEOb87YmV9GsXUIux1K4HyzQI0AFoDNe9/CmS//PsX2KYpDJ8kPnWCydQaAmT3E\nNC/Ic4k2EikFbRtG+bz3rKxmscg4vzDszsPzroqMWk/obOgjJoK273yQIytrWlOGLLEMGaKsVphm\nRWYrjGyx2vdyYBAy985D03RUddhP1UiqqIDTG0Hpde4jvsM3Dm9ihlhXiKbq0WYjm36Ery9ju6Ed\n6FwwwEpos+t0FHoICtrIMaqdSmYfhuXcMEudsjYt276POF5rIE47zFC30XgqKXavq9Ak7U5C2Z7c\n/7p4G6HNUiZhkKAS3nZRZo2hrZRQ52C7O4g79ODRyMZgv/UaqPKKXEn2KM6MjoiwSV5d4PuToMFQ\nZ5bN3DIvciaZRqmid61bLUrgxXuA43XHtQqe+wr/5reP0T1wFeqaBzi6e44rnzzByUuUyRAH7+Tx\nj36Ga3cOcHzjMp7d2eDxozOe3NkiYK8XX0898gSbOzMO72xyZLrD1tYR7PYWANlGgZle+NEXN9zH\nmcf/kOnh57FHniM7eAKA2aGjzPIN8sxgTSibgyxZjasbpJLsTizn5pbzGyFD3J1llHaCi9M8wphe\nKKCtHZ0TSF3R7C5Ri0AnUuVumFwpSqx0aOlRe8jZtJ5aCqpolVpFL+vaahqbBYK20n2WSOejNFuL\nj0FU2BpRl8imQrcV2jpUr6A9vB+p+vVi0GSsnKQxA5CT1LPXtRgZlNWVGnlEV/2ETEKaL0CZY5ao\nJDStGKZk5EgK7ALqTUhnhSNaGwQ7VNVPyAzAClzYghRpMmc0rbUGrOx5UAiO+5x0I2T+1bq+TQMi\naNHG8bvQt0lqyboLQqEqXrFFF8qpVllqM2G5ucHpySZbUfAgrT/+w0e57ao//XFsVE/xm/9fBe+6\njrff8laOnHiOZ/7eb/XI8outlbyJZ3/nUxw9dBlX33yMx49ewdeObBEGhy6+7r19xue//DQ7hyZc\ntr3BodlRDh08DEC2PcdOzL4N8OcfPs3s0JTiyLPkh4OFznzzOBt2h2lhyHIdZpN9CIjpomEyw3SW\ncW4znFLnNwzLPEyu5JF+I7TqS+b0OGkMZiNmiItdVLUgc0syncpmtdbbTboiWodfloWibCRVa2i8\npdE5WeIipuwm+rtQRVBFl4i8QjZl8G3u6l4wdjxOl8y/whJoBbaRVDYAOU6bHuxY4yJCoPqkrE0b\n5KhvOZ6Q2RucIjMpzKgrSa0VrtM03gT6TexZeplGTBmls+u2CSEoBn/oNEcdHnNh1OpGAGTnUwoh\n1jLE1L8UF+Eivka7eYUuAdF9rMX4GtOW/XiYqXfR5W7wEy538ctFqImkQGjDgcmcy7YOc3z7Ki6b\nB4+bg5ubaH0Nn/i3n439wj/dukyf5Nd/vUb+wB28697TXPvlR3n8S5f++BMnjzL92Mc5duhyrjl8\niEcu3+R3/9kjQCrT91+3HG/5yhee4/DB4xy94TK2ty8DINvZJt8qWO7zmEPvfjtP/bvfZXJwTnb0\nCACTg88y3zrGvJhis0DQbl1Lvaq4/64tPv7JMwgpsblhNg88zAOblvPTgtLOmeRTlLV9ydzWjmYV\nHAKFFJhpNIyaz5DLc9jZLrkpsXoWRvhEkjbscK6lbVXfW1wsJdNcsCo0ZRcMqDptgxINgA/jgr5t\n+5RPSIGwC0SxQBcrbF5idROR5gH5dTEgdpGFoKQgMyEjrUwghLdReoy0v1GG2ItCKQVmicoKjF2h\nTY2OaPM41wv7HLYrKTBaUhlF7k30ANf7Un28a0KfFEBXCGfDzHbXrPURIbw+Odpn7w+dZvqT6IkY\n9WGTP/SLrNd6iF/HEkIcAP4xcDXwNeDP7qe3KIRogc/Ezce89++/tD34Phhmbomtd7Gr0A/T507A\nc0/jTp+mOnGKs199hvPPBPCgrRzV+ZpDNx/i8N03cdsVISDeeO3tHHrLW9Hmdj7+m5/kvjs3/9Sv\n+aqN8/zq3/sj9F94K9/90CM8+tv/G/LIXZf8+Ec/V3DjwX/Jde+/kS9feQNfvPxI/Ev1go87Xpzh\nM39UcNmBbY5uhxR36/Ahiu0Jy4uU7ht3PsBTn/p3TI5sAzDfOcyBjeNsFNtMCoM2IdNLwTj9/ONH\nT5LloWTe3DzAzjxnJ9tko5ij80mYMe48zaqhPJMUeBwq+pCqIiebzTDzHfLJkkI1ZCYLVJ+RvUKN\nw42EePPMMMk0M5uxkU1oTY4xYa7Zdz7oVVZ1b6HQuRaERGUZajLD5rtkZgMrp32fzXt6r5u69jEW\nhECslSQzlpm21Con03nIZImZIdDVdQiKQiLbFqlU8NmxBTYrMXqYkEmr7YLkmfcQB3FQUpJpTaE0\ntYxSZ6OMNCDMkXje+QCsSIVUBmVWaDtdkzqDYWIlBcO280g5Co5xYmXNeH6cyl6UnC16vu/LuV7O\n+PGtyhB/HvhX3vtfFEL8fNz+uX3+b+W9v/Pr2YGkQ3c1WXmWbPd55DIGva8+wlf/6ceod2vOPbHL\n7LY3QxEfVIDZgjMLOPPRkqBdAfBlHvixzzB/8Kf4rvvu4r//pc9x100XTo282Hr99Zrf//DnueVH\n38fNP/xZvvTRS8Gch/Wlj5bcdsfHue2Kozxz39UALL/6xRd93FbzNP/6tyXXf9/lAGweu5qt67/G\nF/7mxcni+tjdPPPJLwDgFiXb8y02D1/FdGLJC8t+kpi3XQW4UGY/9VTOztYUq3eYTy8jzx4JyL1r\naVYN559dML3pfp7744/1SjqubJivSiZbO+Qbl7Fp55zOCoSQ1HXLalHhmhAUyyizVh/bpsg3ogzb\nlI2DSzZ0QZcVwQmxbWnOL6nO7mIiJUguK8qTZ5j7DjWdk5mcubKcMxvoOLHStp469inPnatxrqXb\nzvFesVwJpDRsWEtpJmTZnEyfDAGpCsfVlRW+bWlX4TPOpURqg+laCm1ZbGyiI72IyIVoGthdRLK8\nkSxLWKwERisybRFiSmZW5PLM8KZHqwRflrSLJXJSIIVEeI/2HW02Qds5VtUoGdXM8T3/EAhNUgc6\n8RDXyuVx7zAKxl6MlM03LUN82eLHtyogfgB4e7z/D4CPsP8L+rrXs88+y+999F9h611MeZ4nnniS\nqmm41gpOPP4MXzp1nmzRcuyxL9J5z+fPPM81820m2lC2jkfOnuSW7UMoITldreAffJ7NBwoqp/nK\nHz3M6knN5vZxAJ575ovM5oeZTLfpupZnn/4cBw/fgDE5VbXk1ImvcNmxWxFCsrt7ghOP19xz/hGe\nfazhsd0zZEpzpJjhveeLZ09wfLrB3GQ0XcsXz5zgpq2DGKk431SUf+cRNu9Z8vnHLGdPPs7q+Sc5\nsBMyvxPPf4U8nzObH6LzHc8+9Tl2Dl2LtRN2yflbn/4sN996B5fvfolnP/2HfLJ+jtc/FgLqk4vz\ngOf4NJhXffnsSY7aXbatpahXfP6RX+bA65/k6cUBHv3qSb72uYcRZ17Xv6ZydZaDh64D4NTJxxDz\nw5x97Dq2p45//Mi/5Za8YnruDGeffJ5PPvosVzaS2WNf5MSZ5znz6VPcujUnO1Fw6k+ewH3+KY7f\n/igLvcUnP/cEpd+hFTsszpU898SnmW1dA+S0ruQLv/9VbrrjTUznFqoTsHiEN153GLs8xWNf/jLu\n3DmOKUmzLPnyuQWHpgWH5hNc2/L53/sct9/xBNn2Dqd9xie/eoJj17+ZRaV5+qlnOH3qBIeP38pq\n5Tj17CNMZxMOH7sKKeHs05/mxmsv47IDGaY6zRc+9TB3HtnCVEvOLiv+5KnnuePYQbxzPH1uQZV9\nlpuuuxpvMz73/C5q53KmB69hURs+84ef5uiVN9GJDc6dX/HMo3/IFdffhVKGanmKZvk4r7vtdWTK\ncfbpL2DLM9ywE/ion//CIxyaWg5mBrcq+dTTJ7j9uiuZTKfsdvDHz5zlljfcg9MTnnj2PGdOn+TY\nNXdQOsUTj34FpQ0Hj1yJlPDEI5/k+OWXc+jAHNkt+NJnP8Xrb7yGzFqUq9gsDB948N4X7BJ+k6Sj\nX7744b3/pt+AM6P7Yry95/8c8Ang94Dve5Hn/On4v584duy4/7Vf+4deCOHvu/de//73vsdLKb0x\nxr/jwbf4N7/xPg94pZR/2/1v9tdfc42XUvrpZOLvuv0Ov7255bVSfntz019/1dVea+2llP7A9pY/\ntH0g9I7BF5O5z/JJ3Bbe2MJLqeO29NrkXgjpAS+k9trk/WMza71UWb+dS+VN+l/wudJehaaPl3E7\nXpu9NcZniP6xWmdeaTtsm3x0HGLtOKTSvshzL+JzWyl9JtVwXFJ5G+q4sI3wOj1WSm+ziRdy/9ek\ntPVaD6/JZBOvlAn/K/CFufhr0uAzMbymPLM+N3r0miZexufa+5qE1F7bScRL8dZan+fDceVKrr2m\nQqvhNQnhJ5n1UsTXoLS32WR4TSb3Sg/Ppe34NQmfF4WXKhynEsIXWnmZXr8UPlfDfnOrvR19bnlR\neGPSc0lvsonnIq/JmMxrU/SPneSZz+3w3m7OJt4q1Z8fxw4f9JkxXgjhd3Z2/A3XX+eVUl5K6W+4\n8Sb/uttu7z/TN7/lrf6WW28LzzuZ+Pe973v8Ndde640x/sorrvA/+AM/4Hd2dvxN117lz378N/z5\nj/26f8PN1/m938Ebbr3Lf/jT1SXdCKXuJ0a3n/5Wxo/+MS9j0PuXwB/vc/vA3hcAnL7IcxyPP6+N\nb+B1l7Lv1912u3/kkT/xv/Bz/1l/At101XH/fQ/e02//4BXH+hMX8D/7ujf19wH/V25789r2X3jv\nW/r720fu9seueH2/ffebfmLtf//Md//1te23vvMv9/el1P4D3//D/fbbLrvaHxp9Af/DG+9ae+xf\ne/2Da9s//+Pv7+9vHLjcX3/zO/rt1935fi9Hwe1t3/WX1h77c3/jF9e2PyC3+vt3HDji7zxwpN/+\n4LW3rf3v//QXf3Jt+8a7/9NhWwh/253f129fd9Pb/Xz7yn77P/nzf27tsb9wy/Vr23/+5mv6+0dm\nhX//A28Y3svv+bG1YH/3O39h7bEPvP+X1rZ//EM/09+/5/or/IPXX95vf+j1N6z97//4Q+9Y2/5L\nP/dfr22/4a0f6u9ffeu7/daha/vt7//J9c/4b//Vn1nb/uvvub+/f3Ba+O+755Z++89+95/xWTZc\nOH7kZ/7W2mO/90N/e337R/9Kf//WW2/1b73v7n77z73vbWv/+z988N1r23/zL6+/9z/wwf9geH8e\n/F5/5XXD5/wjP/XX1v73v/tv19+Pz/6zf+TP/d4/vXhAvOUu/5ufqi7pRvBWfsXFj5dtzsZ7/07v\n/W373P5f4FkhxFGA+PO5izzHk/HnVwhp8Rsudf8dkjvufANbW1vcesstvP1Nd3PvnXdw5RWXc9nh\nQ7znoTfwvttv4MZrrqGwhoe2HIcnE2648krmmeVnfuhWtFIcP3KYt9zzeg6/52exeVCEvvnme7ji\nqnuxNkebjKuvu4+jx2/H2NDvuuX296J1hjEF09lBrr/5bUipkSrjrgfew/uumWKFwErF3QePcd+R\nK7BSYaTkTUeu4MrpJkX0a3nv5TcCUCjNDYe2ued7/z20yZAqY/vI/Vxx9T0oZVHacuU193HN9W9B\n6wwpNdff/BCT6Q7aTrFZwY+/516klEwyw50Ht3jbvW/CSoWVirt2jvKGg8cwUobjUiX3HD9EYQJZ\n/Z0f/EmyfBLeg+lBjlz5EFJqtM659oYHufLaNyKVReqMg9e+g1vufhfG5hhree89N3PT8SNMInjy\n/deFVkMhJVdNC95z29VYKcm14rvuvpUH3ngPmbXYLOOmO9/BLXe/F20KpDJcd8d3M5kfCWCBznjT\nu34CISRZPuGW2+/mobe8kcwaMqN5263X8sD1V2CVJFOSh26+ivuuOEJhgpLOD77rQaZFzrQoOHDg\nAPe//XtR2mCygpvvejc33PEQ2uQonXHD6x/ipje8Ex0/8wfe9g6uve5GJkWBEIIfe+ebEcA0M1xz\neJt33XkjVilyo/muO27gra+/hcwYMmu4781v4cG3PkSW5Wj9/7P3ZrG2Zdd53jfnXN1uTn/7algl\nsorFpoplkSZpipbE2JRkGe4EG0iCIA+JIeQhj3nzS5DXAEkAIw8W7CBIgiBIHBB2bMty6EhWQ1Ek\nRZEmKVIkS2yqve1pdrvamYcx51xz7bPPrSpK1eJO4OLee7q1zzlr/3uM8f/j/zN++lN/nYPLD5EX\nE0yS8Zc++5+glCYrJjz+/o/y8U/9PFmWk2U5n/7ER/n0X/gweZpSZCk//+xT/OUPvpedcUGiNb/y\ncx9jdzziytEBR/u7/NJn/ypZmnLt2nU+9XO/wLMf+8vs7x9y+cpVnnrmU3z4o5/hPY89zu7uPj/9\nyZ/n6b/wcT76MblPfuVv/g2MMXz6Z36GD77/CR6+con79cQWZ0zxGv682nmr8EPZ+3yDb9RRSv23\nwF3bD0UP7UYUgVLqAFhaa0ul1CXg94G/Za3941f7+h9++iP2n37uX9DWK774O7+Jatb89JOPMSoK\n/vBLf4Cp13zmQz/F7Vde5lvf+wGZgs8++37+6Mc3eWlRcfjQozz1s7/I537v+5TlGnaf5fk7V/jN\n//t/4b2PpFx/6BnA8vKL30ApzXt+6pOcHr/I8b0fkaYFj733U7zw4z9itTxmZ+cqV64/xZe+8Ud8\n4uN7/EcfXLDz+f+Hf/bFUwA+cnSNdVPzJ6d3MUrxiSsP84PZCS8vZ0zTjI9eusEf3nmJ0bUZT/zt\nX+HsA/8p/+R//rd860t/wmTvST7501d54cdfBeDRxz7OcnGPO7e/jzEpj7/3Z/jGD5/nkUdqPvWh\nnL/7aMlvfvnrLL7xVSY/uMnB+MN8+fYLdBY+dHAZUHzr+BbrH3ybv/s3nmH5vsf4/it3Sd/3Id77\ni/8Z//y3nuNb37nJfD6haW7w42//G558POP5W1c4vPE4dfnHXLq6wyNPfIqHrjSUt77A9fyYv/X+\nS3z/i7/L9775XdLZkmdHI77w/C2WWB6/dsBf+ODj/OZzL6APD3j2Ex8jefQpfuOPX+FetcvVJ36B\nH/zwNt//ztepa81DT3yGey9/k3p9k/H0iA9/7Oe49aefZ2zOeOb913nm4Zyvfv5foE7v8LHLOzCf\n8cVv/wBsx2eeeowXTmY8d7pkcrDPX/m5T/GFl055fq0ZXXuSa0/+LP/23/47TmYNe1c/SD6+wnPf\n/C26zvJTH/wZErXmzgtfZXes+MxnPs3pC1/l+Eff5LKp+StPPsTvffFL3Ltzj0cv7fOBy/t8/pvf\np1WKjzz5ODuXLvM7f/oKdbHLR372szx/bPnaH/+Ashvz5LO/xA+//zVefvFFiskR7/vwp/nu1z+P\nbRY8/lOP8/4nHuHbX/51Cub8paceYVKe8dWvfAWl4DMfeIyXXnyZ7/z4JYos5bMf+zBf+tFNXlnU\nXHr4UT74sU/y61/8Bmel5upjz3B06Rq//4UvUDWK937oU9RVyQ//5Kukiebjn/4Md1/8Y+699D0O\ndxI+88ln+erv/zanZzPec2mfn37fI6imQnUtP/uf/1d89dvfHyDbEx/8qP3v/7c/eE0Y8Dc+mv6h\ntfa1iXE3zhuJH28VIB4B/yfwKPAjhDa/p5T6GPBfWGv/vlLqU8A/woWEAf+DtfafvJav/6GnP2L/\nr8/9+k8mzE52Oa73uDnf4Yc3hf177rk53/0JhdkArzRH/LVfuMrPX/r37P7OP+Xrr0OYDXDp6GWu\n/52/xo+e+mV+54eP8Lu/c5Mr5v7CbIBvv2h49lPv5ZNPK56ZfpfL3/9dAGZf/AN+/Nvfodt/5tzn\n3P6N3+LxX36Ya3/x/RQfEYLu9LGP8qf2Cb7zypTnfljx/A/vcXzzhOXZHNtZ8nHB3uV9rj18wKOP\nyrD/8RuWx/fvcaP+ATs3v4d9/jnWL7zE8pW7lGcrbGdJipTiYIfxQyIYT2/coLvxOLPDx7iZPMwr\niz1eOcm4fWyZzRpWK9H2JYlm4jZtDg8Ml/csV3bWXCmOOahfYXryAsnxK9jje7RnZ7IeaC06E42k\nmYzR+4d0h1co965yNrnOsT3iXjnl3iLjdCEMb133z40kUYwL2BlbDiY1B8WSg+SE3fVtRvNbJLO7\nqMWZ6FpBzCQAleWo8QQ73afeOWQ1ucQ8P+K03eO0GnG2zli6uNdVpcJ2TJrAOLdMi4a9vGQnXbDL\nCZPymHx5jFkK06xWC1S1Jhh2phm2mNKOplTjA1bFPotkj3k7ZVELy76sU9aNCTGrRltSYymShnFa\nMzIlY7Nk1M7Ja/l+0nqBqdfi3HMfQPzv/tfXBoh/82N/JkB8w/DjLWGZrbV3gb+y5e1fAf6++/cX\ngKd/0ms01qCwtGg0lko5yYVpUcmW1b0uY9lknC4K7s0SXr7T8dKLcwCef+7WTwyGZ/kN/tp/sM8n\nrz3HwTd+m5e+8PXXBYaj7k+4+umfY/bYs/xwfpUXXm64d/OEKzfu/3lf/sacD3ziKR57OOX69B47\n85fp7khnUR7PqJY1yRZN9+W/eMDeo5fIr1+lcULuWXbI2SxnsYJy7aJVlSLNM5RSjHcn7OyP2dnL\n2Z3Kc2SnqBibJelyAeVSgqWaVjKhE0niy6YF6c4YMxGxu5pMafMJZTKmbFOqxtC0fZcmYmxFnhsK\nl/dSZFCkHbmpSVVF2qzF4MCvzoEk/wE6F0BURQF5TpcWtElBozPqJqHpJJERBFu8+FspyFLIU8jT\nE2dwwwAAIABJREFUjty0ZLomsbIJorroQfqoTpOI2D/LsGlGl0oyYGsyyYHptJizRvWIlo0CtIIs\nsaRJR2ZakecoWcXzYVIq3pFTGnQnGyxJik0SukT2uludin1YlCu0bZvEh1D56NKQRel/hrZDWfuq\nEaRvhuzmjcSPd+WmCpEN0bZfUGzuUHeGqk1Y1QmzleF0obh30nHr1oo7TrA9u3sKR9nregT//k9b\nnv7kE3zmmYKPXv0R1/7095j94R/x4y/+mMn7H3pNX8Pe+RqP/O2P073/WV7M3ssLNzNuvnzC7O4J\n3LjY3AHgxvse5pFHd7hxWHOo75Kf3KQ+lqqiPFtRL5pzv/zV9/6A689eY3z9MvroCktn/zVvp8zX\nhnVpqWoxdVBaADFJE8Y7I6a7Bbs7CTtjeaJO05KiW5KUUsHYuvaDbkyWuMS/nHQ6Rk+kqrTFlDqb\nUOmCqk6cBRZYKwBsjBIgzRR5Jr9XAalWPBS7Et1WEjfaOUNfrUSQrTTKVYikGTYr6FLZbGls4qy2\nVIgeBYKphFZSsaWJJU86SWBU4rjtK6Zg6hCcRIxsqCSpXC8RA9tWiTFEcJaJ7k+lcGFXkBhIjSXR\nVjZolPgbSv7yBigpBco4H0hJHxQwTNz1XLqkv682QNgbWogFmkvpoxMQxJ77JBVFJQyOfbDL/LY9\nYRfTqrCOBJFVemeoO03ZyC7scq2ZreBs1nF6WjE/W7Neici2qRvg1QHx9796wnuc/denf/EqTz8B\nHzz4MTde/BLVN77GK1/7wWtyugGofvRlnvzrz5B96GluXX6KF872eelmy71bZ/d1ugH4zksJ73/2\nkBtXNFfGp+wuXkGd3KY6lrnl+nRFWw73UU+//Ltc+cgR0xuHZJePaPcvscylhJxXBYu1Zr1uaeqO\nrrMYYzDGkI0yRpOcySRlZ6KYFrKpMUpKskZS9Wy5lvW5ToBUJxpTZJhRgS4KlIsdaPMRdTqitLm8\nULmMG99GGqPQRpGmGlfshYotVTVJJ/u7qqn7wHi3LqjSBJXIFo3KcrpUVvwak1GTuiRGn7jYF10A\nSSIAlRjJU060y0fpGrRthvGjfrPDSGVKkkjVZsRQttWpxFtYfY6f8FhqtBXHcN05W7JWDCH89azt\nATiOMDAGawydScWaTKfio9g5wXXnnwPyffrreTdt5SzJjOrE3sF2gwrRebDd9957CyZwf67nXQuI\nQADDzmoa2+cy1604H1eNoWwUq1KzLGG5sqzXHVXVYbveTj4b5XzhK/cu9ET8yreWXH7kKn/xs4/z\n3sflyf3EQxXvmz7P1Ze/Rvftr3P3G8/x8pdvc/CXnnrVx734k9/nyV/6ANNnPsjy4Q/yUnODF+8m\n3Lo54+zuKexeLA742ncrHvvQda5fK7i2X3Fo7pKf3aS9d5fqVEYA1UJyov2599u/zcEHd5le3WV8\n9Qh9dJnV9IiFEpH2vMpYlVCWLY1LV9eJxhhDMcoYTzImk4RJAeNMZmcjvSIr5+hyCVXldoktSmtM\npknyjGSUo8cjbCGrQm0+oTYFdefbZeVxTXCmU6SJIksVjrAmT6xYhSmZDeum6qtD9+xUiUST4mzc\nbFSxNToTe63OuHulb5kJ63OuYkssqZEMlkSJTb9umx4sYLjWlqQBDNskozVi0NB1Olxr0Pm6Sk1r\nQph9onx12KG7CypE7bZKtHF71eKK0ylNi9iHxZnjdnBNAULJlHEOPNgAhqpzLyzuleL+LTNvyure\nG3nepYA4zKGNZxvelt1nqjStonYpe/GsKs0SCme531lLmmd8/fvbIwQ+8pcf4/r1EY9cVbznUEDn\nkeTHHL78bfjuNzj94+e4/Z2br+qWDQKGP/Xz72P/madoHvsQN0eP8+KdCa/cbji+PXPJe+cjBAC+\n9O9nPPTEI1x/aIfrl+DyeM7u6hbm5DblySnlWb8/DHDzX/wmZqzZfe+YnatTJlcPSI8O6faOWI0O\nmTUC7ovSsFxZylLaZfkZGZctkzGZZkzGmumoY5JIVV10S5J6iVqvaKtKAup9C6s0Os+kOhyNIHfB\nVOmIyoyo6kRetNxoTqoZBUbIjTQN2EaadKTGpef5drmNZ3qCMCpNQ4Voo3leq5IAhv5a/tM8tiXG\nVW0OoBIltloeoOj6atsnG+IAyoNU5yIHPEB1bmQTH5+M568llmQdhi4k6am4OnTHKu2SBsX2rDNJ\nqEZ9JEAM9pvXDLND/N/+WtHPMaoW73ceVIhv0+NnIQolw2Bvn77lF2a0qwISyHNN28mPxbtDjyf5\nq4RMKa4d1FyfnHC1eR6A3Ze/Bz/8LrPv/oC733uFu1874/Iv3v8xr773Bzz26cc5fOZJeO8HuHv4\nPl5aHvLyXc2dWwtmJ/OteSogwfVXH3+Iqw8fcP1qytW9NYf6LsXZTbrju1QnMyoXidCsBRCzo4Ti\nUsbkyoTxpR2KS/vowyPK6aEwk0t5QZivNOuypa5a2rZDa4XW0i4Xo1TiT0cwzhpGRgAxa5aYcgHV\nGlu6ChFQSmOyBJNn6CJHFWPaXCrEOh1R25Sq7QGxjUooYyAxYsOVp/K7yBzBkXZi+Kpcy+yvh9ay\nf2sMuEREm6TnCI6m61tmeZxxC0toYaU6lMAo3TWB4FBxCwtStRlHcpgEa9w8zybuRTlqz0PrKiYL\ncj9al73SiVLCBd4PCBx3HTppm63pg686558ocKoGLXo8t9TgnONtbySrpBrVLrAK+gpxE4w3zwNA\nfHAenAfnwUHAcFsV+k4670pAFPVCF4w6rALjSRVlsbqTX55WdIlvy0TSYbQiSRSjQlPvSIu1PZdZ\nszeFg2nDpfGCo/SYw/nzjO78SK75wg9YPPdDTn5wk5MfnV3oKgNQPy+5zI9+6j0cfeRJzBNPcXLl\n/bxcX+PFezk3b1Wc3J2zOlvAtfPkzu99+S5HD13l8o0Drl0ruHrQcVTM2Fnewpzepj45pTydUy2k\nerOtxYw0WW4YHRVMLk0YX97v2+XxEYt2wqKU739Zwmrd0TTOPsqIJ2KeJ4zGKZOJZjqyomHTLnS+\nWqBLIVRsXfeGsIlGp0lomW1W0Lro0sbkVDaT7OxWCBUbCBVpl5NE5oey5kzP+LbiSO0zRYLkxleH\nbp4H9IyvdlEA1sg8rxvO9ALLPKgQHcFh26hii6lpX+45ltm3zEqS+oTx1dE9F923riqVai2aH3qC\nw11rMLP013SWYNYl5XU6deOAnmHelNsEf0TXLmvVZzkHhvmilvkC3HtQIb4tjyVRLY3Fo2Ofj6h7\nx2AZL0nUZWI0aaIoMp+dYQK7Cf5JITKPcd4xySt2szV76Zy99g7Tey+R3n0J+7K0zKsfv8jZj25x\n9vIZi+fXjJ44/yhv/8ZvcfUThzz8cRE5HnzgcZL3vZ/FtSe5qR/ipeMJN+923Lu7YnG6pFqXbLLd\nv/flu+xdOeLo+gFXr0+5eqS5PJ1zwF2K2S3s8T2q41Oq+ZomYpaTcUK+mzE+HDO+tEt+JO1yNT1i\nme0xW4+YO8HwciVehG3j54eaNJexwXicMBkpJnnDJC3JW5egVy1Q5ZKuquiaBrpO5mtaOTDMoRBC\npUllhliZEWWbSbRoo0I8rPyuFForMjc/zIxvmRsSVWPaSgiOdhOgNMoIwxwA0Ugb2+iMxprQLndx\nu8wG6xtmiI717YRUCeC0qTeJSI5OG1qT0ikdGN/WagGpDdmNjlplD1DGNijbSi5ePOiMr+WD5bXB\nmkSu5eHNyXv8p3Ub1xMg7vrr2jYAcJ/DHMlv7hNW3776mPFtfd6VgKgAoxoUHQ2JvAK6l/vWWrTS\nGGVptCbRmtRourQTIAyzHTVwGE60JU9actMwTirGZsW0O2GyuEs+u4W5d5P21iusXxbx8/ylO5Ky\nd1Ji6/Mvm6vv/QGPfvY6h++9yu4TAojm8fexuv4Et4r38PJsj1fuau7cWTM7WbKaL2kjO+UvfOUe\nALuXDji8esDla7tcvZJydb/mKDtjOnfV4fEx1XxJvazCDFQZRT7KGO0XjI+mFIe7JK46XI8OmHc7\nLOqMxVpu/PW6pao6Wne3J6khL1KKImEy1o5dbhjpNXnp8lHKBZRlEGRbp/PQaSrzwyxD5QVtNqZJ\nXbg9OXWbUDdufhgpg0KhZ0S0nBl5Z6YbUls5QqUGL8qO0c24as24it/JbVqV0HQJje1F0v5572d5\n0MttggTGOgmMJ1RiUbZ3mHYkh8zzPKEi1eg2AgdcoaeGM70AUBcxzO6aMj9013ORpZ5Q8WC4rZ3V\nYU7pZogRoRIqYDhflW45lu2633fSeVcCIliMD5OyVtoVN+zWtsNYTafbIM72LFwsTZC1Pyck1q1r\nzWoKvWbUzinWM/LlMcnsLhzfprl7h/LWXVa3BKjWJ0vqZY1tLcmu4c7/9+/QiSK/mrJzdcL1Z6+x\n954rjN/zEOY94iO4uvY+bk8e4+XlAS8fp9y+23B2smI5W9G6CM3f+/Jd0jxj50g0gvtXDrh8Y49r\nV3OuHnRcHs3Zb26Tu+qwPj2jOlvSlA3WWeInRUI6Sin2RoyOdsmODtAHUh0u8gMW9Yj52rB0/rVl\n1QWHamM0SWrI8oTxOGE8UkyKlklaUrAkdateg3Y50gT6dlmNxthCUvkqVyGWNqfsDFXb6w9FlI1z\nqlZSHaadM1ZF2OWuEkF241yqfZWolFSlQQ8ot3tn0nMbI62NDFPxrSvu90+QwCQeEC9qmYMOUTSB\n1qQ9SHmA2sgND5+q7KBdTnQX2nMBKV8hxtdTPShuI1SiWIDhtZz+MLTo5wkVhWynyFNqszLdAnxb\nitd32nlXAqLCyk2LkqQyWhI/Q0RyIjz75kEwvmE0EjaUuGS7RMkWRNauydYL0nKOWZ2h5ydwekx7\nfEx175jqZBakLfVKdqfTSYLJNDrVZOOU8dGYyZU9JjcuMXr4Ourhx1hdFjH33Z33cHN9xCunBXeO\nO06O18xPV1Tris5akjRBj3In9xGN4KVre1y5MuLKoeLKdMlBco/J8U3MyW2a0xPq2ZJmXdM1Ldqx\n5mmqyXcKRodTcl8d7h6yGh8ytzvMqtwxy/LEq6uWzoGpNpqsSBiNEkYjzXQE01zY5aJZkKxFdiTt\nctkLsp38RWepBE7lBV0+ks0UI2x23Yj+sPaCbPfs8tVa6gTSmenItGPKVUXalCLI9gxzDBjGhHa5\nS2R9s/NyG1exbWOYlavUgH5bxAGU6STVLswqfYhzTE1HLWwXNkY2GeZI80gPUp5h1jiAcmC4tUKM\nroWbH1plZD4agWEXtczh08JWigNj32TbfismzGK3gf6W82BT5e14rMV0teRZuISwkB6GEkdNfJpY\nXxEC4WbQXUvSicjYtBVJsyapV5hygV7NZJF/Pqc9O6M+PaOeLamXZSAPTGrIphnpOJV1s0lOvisV\n2ejqEem1q3D1EVZHj3BvKtktN8sjbp6NuHVsuXdPtmWqtbS6xhiSSUJW5Ez2JhxdFUC8cnXMlSPN\nlb2Ko/yM3dVt0rM7dMd3qU9n1IsVbeWA3WUxp6OUYn9McbRHdnQA+0fU00OW2T6LesRsnQQiBaCq\nZDtFayXtcp4wGhmmY8Wk6JikFWO9JFvNMZWLrlqvpF1uXcKerw6zDD0aY4sRbTamTkdUVoDK7y/X\nfn7oRdlKyJQ0EblNajoy079YmVYS7VRTD7ZGQnXo2mXrLNVak8n+sq8Q7dCSSqteigVSQQW5jRNJ\n9y3lsGILGSR+fmgSNz80YZ/Yh9BvnphQ0dEMsZ/nbWyo+Gtq1QOwSaRCdNVhCIza3IqhB33tYkpN\naJkdqRJvprwWDSIPKsS35VEIsBHFJZ7Lso0/3jFqupPZibQMDaYVVtbUElmpyxWUS9RqQTef0S2W\ntIsF7bqka1uUViEwCSAd57KzW2RkO2PyQ2lPzaUrtJeuszp4mOPRdW6XRwDcnI25daw4OamZzyrW\ny4qmFkOEbJSTZinjnRG7hxMuXZY288olw9X9hsujGfvtbYrZLdTJbZqTU+rZgnpZSXWYGEwqP4N8\nd0xxsEN2sIc+OKTbFWZ5bnc4qwqWa+2IFHkSeDG2Npo0MxSjhPFIZocTXx22C9JqgVo7t5dyHeaH\ngKzsZakYLOQ55GPafExtCkoPiK5drlsJQvTHa0Q9u5yZlkTJB6RdGQCRphmYOgRxdJIEMTYwEGT7\nlb1uY6bnW0nAgWEXzQ+lQlRdA13TXwsEfCFoAkPFppJhy2xjEseGv0N16NrzMM+zbVidO2/s4POa\nVT8/dGnknSdvBh1Qfy0/GhqCYT8OiCtDZTuXxHfxc+kBIL4tjx3sYW6+z5/YwaNfnG/RrayA6cbl\n+DYSbK7WS3mir1fYshQG1c32tDEkRYZ2yW7KmQokeUYyHZPuTjEHB3BwmXr/Csvda5xkV7lbHnBz\nLuB251Rz76Tl7KxiuZBgI6UVaSZJd8W0YHd/zNGlEZeP5Fd3Zb/j8mTBgb7H5PQm5vQO3ekJ9WxO\nvVjTOYeZJNekYwGEYn9CfrhHenQI+0eUkyMW2QHzasyiTFisCSuMIK2r1rJHnOeGUaGZjBXTUcc0\nFVebfDXHrGeotYwM/M8m7C+nqSNSejF2k44pzZiyFrIjbpd70bJy80MPhtIuZ8qNJBpv6CAA5Ykj\n3PaGMv0ucWsEeFudDOaHTedJB/lUT2wkpgdEo9swPwyuM5vrbK5SczeEqxIT176aQKjE1aFSfTaz\nidxmEi0AFTZi7tMye5AazA8jQuUiQ1YhG21fibr5ofKgGM8NN14ttuKefcAyv22PD9P2oNe/vett\njdzN7F8RddfKE6tt0E2JquVJR12h6hJbrsEBYah8jEGniczIRnmYxOvEoPMMMxphdqao3X26vSOq\nnUssJlc4NZe4W+5yZzHi9ql8zr2TjtmsZr2snaGErAhqoynGGdPdEYdHBZeOUq4eyp13ebrkMD1h\nZ3GLdHYHTu7SnJzSuFbZdlb2jrOEfFeAN9vfIT3YQ+0dUO8csRodMGv72eFyZanrLlSGANoostRQ\nFDI7DNVhUjJq56TVPBApQGiXsVbst9zPQ/l2OZ9QpWMqm1O5zaBt80Oje8mTrw4zI3ZYIOMM01Ty\nu2rbodGCCEfByGaKrxClXU6FYQ4uN73Vl/Its4pmiGo4P9xGqPh9YkDAySSO0Evo6FtmS+884x+m\nXNuenx928TzvPAxZb1ezUY1adKgOYdv+cu9wowd6xzaA4qb2MA6t3ya9sTCQqr0Tz7sWEGFYAQbt\nYWg7HIvWRZIGf6O3tXuCOZPPppZ2zEsQlILEoK0AYfDZUwqVOkeVPEOPRqjJDnaySz09oJwcMS+O\nOLN7HK93uLfMuXumOTmTu2g+b1gta2o380uzBKUVeZEy3S3Y28s5Oky4cmC5PJV2/ig7Y7eUVlmf\n3hUiZb6kWZWuOlSYLCObFuQHsvYXWuU9Vx0me8zLgtlaqsOysjI3DLiiBJRHCUWhmYwU01Er1aFe\nkpdCpqjVogfEupZnh1Ly4uCrw7yQVjmbSHXYZZSN3IZl4/bKe5JY9spdu5wZAcRUyaoeQNKsHbvs\nf0cRGDpxtK8QG9MDYttKuyweiJuA4eaGplcZSK6xqw59N9FugK9jloHALvv5YePE39t3pv11hvND\nQztgswczvZCXrIPcJq4QWxcn6gF48wjwdkP9obveAIAvkPlcdB60zO+AExtdXgSGxIv6MXvoT3iC\nWVSWSzuWZfKk11rcVIxB5cKYkhXY0YRmvEs92mVdHDBP95m1O5yUY46XGcczzcnMMpsL0K5WTXCT\nSdJEjEKLlPE4ZW8/53DfcGnfcnmn5DAXr8a99g7j+W302V26k2Pa2Zx2Ja0yQFKkYYaZHezJ21yr\nXO1cYpEfMGt2mJVSHa5KS1l2tG3/vWujyTJNURgmY83OyDLNG8bJmpFdkFUzzFr2lrtKqmppl8Xd\nRhlXHRbyM+nyiZAp5EKkuFT2OrL78ptBWvdehFki1aFnlgF0W6Gbcjg7dOCkUuc2k2TiNqPlxaqx\nSU+obBAcvl02jkgBnASm6fWHbb29OvR/YKg/jOeHW/SASvV/b84Pe/3hBnkTU9NK0QWHGxPE2J31\ns8rz1xO7Ly9A7+eH8fUuas/ZyGsevP8BIL5dT/8LE4uH1/OpOsygAKztUIBSGkwirUT8sV7nluZ0\nmQBim09o8zFlvssq22PODvNqzFlVcLpMOV0ozuaWxbKlXAt4ea1fkhoHQobROGVnJ2F/z3C0K2B4\nVMzYt3cBmMxvkpzdFvnPbC6tsgMjMWI1AoaHeyT7Aoh9q3zETO1xVhfM1wmrEtZrS9N0YrkfttA0\nReGrQ5h6ZtksKdYzkdqUbr5aujGDF4H7VtnNDoPUJhmztgVlm1I2AiJV1C7rjeowTzuypCXXNRkl\nSSOVqKnXqKbpDR3OESq5c48WZhkQ/8POyW28Z0Gs49YEtxkAozsS1y4Hh2wPiANfQhWYbGmZ3fpc\nPD/cWNvTqm/NfXXo54eeUBEPxC0aRHcd69b2PKESyJSwDSMg3AvA7QB8Y/1hcLjZ5n3o54cXzBDj\nOew79bxhqXv3O0qpv6eU+pZSqnM5CBd93C8ppf5EKfV9Fybz4Dw4D87b+LyOmOKf+LyR+PFWVYjf\nBH4FCYHZepRSBvgfgc8CLwBfVkr989eSugcqGgBbdBevMrfyitqBUp3oEJVCOaW/wvHQqepnhtqI\n2PecU7GS9awkoUvEhdnv5dbZmDKdslITlt2YeV0wrzLOVgmzpWK2tCxXHVXZkxdaKdLcyN9O3rIz\nNeztaA53LEfTksNc9pSnS1kRTGd3UGfHtLMzmvmCthTCRycGnRix6d+dkuzvoQ9E3tPuyuxwnu47\nZjllsVYsV5aq7ttl7YR4eSEZJtOxYmdkmeS1tMvtnKyaocsFar2SMCcnHrTWSnWYJCLEjsiUOhtT\n6hGlCzsqa7lOvK6nNsiUPOkoTBOsvoxvmZsKmnJg6ICSNj3OF6lddopcZ0im+JY5XptLjBApQL+/\nbBuJDGibAclhvWO1TrC634bpJTARobJh6jBkmX116GZ7fj3QjXmGt3jku6i0M3SIGGb8yt62jRhf\nJUYMc0SoaNsMN1Sia3o2+6I5YttuffOf93nD8OOtCpn6Njhy4uLzceD7LlMVpdT/gYRUvyogWqBT\n4oOnrBW7OH9jdP0QW9oIjdImGlxbmSdGLcO5Pc7BIr24IXcmo05GVIns5ZZ6xKobsawLlk3GokyZ\nrzWzlWKxsqxWHaXbD1auN00SLVq/VOZ106lmd6LYn3YcTkoOsgUH6i7T5W2ymaTu6bNjutMT2vmC\nrqzoGjFRUIlymSUT0oM9zP4B3Z4AYjm9zCI/YN5OOasKWdMrhUxpGnkFN0aRJA4QMx10h9NCTBwm\nekGxmg3IFNs0vQ8hPcmki0I2U4oJTe7a5a5g3WaBWQYGgVJaKbzJdWCXdUOmSpK2b5mVF2THBIfP\nMnHbKeJsk9JYud1rm/T6wws2VLSKZ4gNia2DhX8gVDbvCac9BPr5oU5oup5QibNNdHQ9INpfbgOh\nomNQdNcLzDIEgBIdorhkd84h27fL59b23G7WNkIlONycc7fpZ5b2ghniNt+JN+K8kfjxdp4hPgQ8\nH/3/BeATF32wUupXgV8FeOjGDVqdir6QNgAjgFVGWEJlgv4Qa1Haa682gDA6Xm5glabTwiI2Rob1\ntSmoVM66kxli2WSsmoxlnbKqDIu1dtsfUJaWunHMotF+VIlSkGZadH4jzXQM+9OW/aJiP5+zp06Y\nLu+Qz+9gTmWGaM9OaBdLEYfXjegfdYIpMpLxiGRvB71/gN2TbRRAZDZqj1k1crpD5WaHNiTqGac5\nBAQMR4gjdlYzSVaMmhlpNces5lIdur3l6PchLtV5BrmQKW0+ocqmlGbMusmpWolwcKT6wLVca8cs\nu+owTxoyXZF2pSTrBY1o3e8vQ6gO0SZEBXSJ20zBkSqdoW5NCLHqH3M/P0yNVIVA0B8m3lGna4ak\nW7xLHM0QY3sxcU86v0LnXarBz/TseUOHTYbZ34sQmGUfGeCrUR+dMRBkR2YlOhKAnydUYjZbDa4Z\nZpYXnNcxQ7yklPpK9P9fs9b+2mv+7Fc/rws//HnDAFEp9Xng2pZ3/QNr7T/7876e+2H+GsDTTz9t\nO2VQrnVWtuu3AWyHwgQWrcVrEaPIxY2RcQio0saBoejLGp3RKKk8KptRthll6yUkkuS3qgzrSrkK\nDKra0vn1Pi3+iz7uMk3Fh3FUwM7Isjtu2SvW7KZL9jgOYKjP7mLnwjK3iwXdek1XCRjpRHSRyUT0\nj+bgAPYOaHZkGwVgbvaZ1RNmZSa6w7WvDr29lyLNdIj6HI8U05FlkjdM0zVjtaCoNsiUyPMQCMyy\nzgvUaEJbTKjzHapkzKobUbYJ61raZW/i4zFNfiZ9u1ykbRBjZ80a06yFWQao3YbKBsNssyywy43J\nqXVO4343cbs8cLhRw3Y51R4QaweGdZBmnfcjTMLGiNwriYsAFdY3JlTCz8hdL1SI3jyCZsPy63yH\nMqjYvNRGp+csv/qMmL411yqKC4gIFbY8F+JrSqusscqEldfN8zoqxDv3y2V+s/HDnzcMEK21f/XP\n+CVeBB6J/v+we9trOq1KUMovptuBDvGif2+e4f6zdjMh/ypshK1sE6rO/WmTICFZ15p1pSlrRVlD\nVRPaUaWEPVW+LUzl5hrlilEOk6Jjp2jY9QHl9oTJ6i754i5mfg/mZ3TzGQCdqwwBEYgnBjMqMJMx\nZm8fdg9pd45Yjw9ZZAcAzJupiLA3WmUA5Qxy80wzLuRxTUcwLVp2spKxXjKq52JwsXazw6rE1s7z\n0O+Gp87EYSSeh52fHbrqcN0Iuxyn6sVFiazpSeZyZlpy07PLpi6HFeIAnIyTR7l2OSlonLNN7Vvm\nzoR22QOGD3caRgXIzzUk3g0YZm/o0Nv3dy7+EwiBUg1+X7qfH9r4mq4qBJH3xAC1uRETjndqEenB\nAAAgAElEQVS4gb5V3uKos02UDRtASL+o0LPMF8ltennPRcf+OdHMbxV+vJ1b5i8DTyilHke+kf8Q\n+I9fyydaFC0G5Uj0kKcS/TveFVCDVsTNZujbjX4n1LcjDhC7/k/VGOpW9xKSWlE1AoaD2ZhWkqrm\nDAuyVELQAca5ZZJ3TPKanWzNjpkz7U4Zr+6RLY8xs7twdoKdz+jWzv3atak+Wc7kGWY6Qe/swt6B\nECjTSyyKQ2atCLPP6qJvlUuoaxs2Q+Qx6dAmAyLCdq3y2M7JyzO3pjcPs8PgiuJXF3NxtKEY0RUT\n6nwqJJOrDsvGUNWKujnve+hdbURqIyH0uSrJ2hWmETAMW0RdGxL90Kpf1QvJehm1FifuppPH5gPG\nfIvu53hxuFPiVvUAkq7GtC5hb4uhQ6gMnfYQ6B1uut6CK54fKuVdqm0ku/Hzw349cNjGdkNiAyJB\ndhLmhwM7uxhHI2Nko+Id5jjEqhuu7AXyRoXKtFOGi2aIb6PVvZ8IP94SQFRK/R3gHwKXgX+plPqa\ntfYXlVI3gH9srf1la22jlPovgd9AAiH/J2vtt17rNXxQPZxvgS86FgW2B8PW9hWiZ+5EuyYatsZq\n6laAsG5dgp8jCKpoJ1e+574SNKa3sxplliKTDxpnDZOsYpKUTM2cSXNKsToRMFycoOZndMsF3boM\nQGg7eUZ701U9HqF3d2Fnn273iGpyKGBod5nVgnDzdSY5y66F71llAcOiUIwLmBTy9qlvlbXoDtP1\nGXq9cI425RCU3aaOtMojbDGlLXaosgmlHrFucsomYV3r4IodFxU+8jNPLXliKZJGtIdKZodJs0bX\na2jcvNKTG144nySQZq46zGiSnFplNF1C7QAxbpfDPRLmh1EQvVsPlHiCKmwx0bmNGM8uO82jT7sD\ngv7QR+B2dsv8UPfGs+B2pkMe8naDBf9gBzPEDTZ7Kxj2PAxqwDD77ZTI3eaifemwHqgvfEZ1b4IQ\n8Y3Ej7eKZf4c8Lktb38J+OXo//8K+Fev/wrid3jR6TZe3XwLE4fbe9kCEAbU/uaWBX0XZdoqlxAn\nANi07mttCH2Njp503vU5tYyzliKV1mycVFKFqQXj6oxifUy6PEUvz1DzM+xygS3LIXmRGLRyGSWj\nEWq6A9NdOietWY4Omas95vWYeSWyk4XLoY5bZV+xChjKzNCHzk/TkolZMG7OyMozjJPZiJtNM2B3\nVeYT5HMhUoqJrOklE1bdiHWTsm6SsJWySWokSc8s56m0yrmuyNoeDFVdSqsM2LZ3m+mrw9zNDwuZ\nHdpUKvnWy3v0uXbZkymxs01i3VzWt8vBAzFGNTNol1vXMjc6oyUJofRDv0U7aJdDhUifsBcS73xl\naG0/O4x2pgdym2h+uM2I1rfmsSBbMpgjh+wLyJsgyHYkzkW7zG8Sy/yG4cfbuWX+iY+FUN3J/zcA\nMAR2bwNC73zSt8weEFvnHOI99Jq2b726jW2ATSD0a2iJsWSOKMiTllFSUxhp/8Z6ycguKMoZ+fqE\nZHUmYLiYY5cLMZXwYOhNJIxBpYmA4XgC0z26HdmbXo0OmOs9Zs3YzQzl170sFaXnIqx1wegSAD/K\nlZPXtEwzeVyTZMXILshLJ7NZL7DrJbYqIybEhFgAQLZSiglNMaXKpqzVmHWTOTJFB8/DDS/X8GJR\npN1GdbgSMqVeD/bKh688Pkwqo03zQKZUrQBi0zlAjNpliMmUThhm546edPL99+zyRrt8zocwHVSI\nTWdou96kdTP+04OhdrPuWG7jN2I2TR3stpbZGTq0NhnMD2PAl7mhHxe5nekNhxuR9mzZToGh1Mxt\nw5w7b5Ls5o0870pABAbzPxiKYeP3xSDY+9Rpd0Pp8Ll+BtR20d8b1zTahhvCRKMXcWyxZMaSJkIS\nFKaR6seUjJRYZo2aGXk1J12fYdZzMaJd9eAzaE3dK7fyTO54gp1M6Sb7PRiafWbtlHmVsygTlqV8\n3+tK5oZtKwSPUpClUh1OCpkZTvKaaSpav7FeMlqfkZazQKTYWqrDED6fpqgsl+B5CDKbOpuyTias\nregO17XoDuuITPErggKGkKW2nx3qirxdkjQluhYHoqA79MdVh7HvYZsU1CYPZEpcIcZgGJMpxoFh\nol3wvTMIDuyyb5ej6w5iAtzcEAhz5tgQtp8f9u2yMMu9AFzAsBmA4aYeMFRp9PKe2ID24pa5rxCN\nz2uJHW4YOtzE3ofWtekWRXehH2I/i36nnnctIMZnEwwvAkL/t39Fb20PpmEGxHBZXiybFEbbc14Q\nSlmMgsR08mQzLbl2jKmuKPSavFuR1eIynZVzBzoidlblErtahVwSpWV2o4yJXHUcGI6ntJN9qtE+\nq9GBONg0U2ZVwbxKw8wQoK4FFHxmSJoq8syDYcdOXoc2GWBcu1Z5Pe+JFOdm412ptWeURxMAR6Ts\nUGZT1owFDJuEstGRxZdc30WdCCCmUh2OknpQHSb1UqpD17babqPXNqZvldOC2gFi1WUSXNWa8Pts\nu6EcxZMpqREwTIMQ2wNihWqbvl32zhPOdivsLZs0bMP4drlxCXsDeQ99u5zoLugde//DJvgRnhNH\nR4awwMAQ9iIw9N+nDv92rXI0P+z9QLdXiJts9jZSBbaOH99R510LiAo7KOu3lvgbx6v7L/p6iLIR\no91IJ9w7/U2kA2PoB+Zd0LSluiXTFZmqyFmTNQKGSSXAk5SLsAannL4PXw35FjnLUEkqrtNIa2rH\nO85VZ49VsS9g2E6Z1wWLMmUZCBR5jIFEcXq/PFOMndxH4kQrpmbJuBVpT16ekaznQqSUJVTVoFVW\nSQKOUbaFAGJTTKnyKWszYd3m0i7XjlmOqkNPMEFv4lAkUj0Xej2oDnVcHUYl3qA6TAsntcmpbUbd\npUFms22+O5DauN+T1x0mrbyCeHfs8+xy0rfLTqDvK8S4XfauM+FeimaHnlkG1zK3dW+/tcVRJ4ij\n1Ra9o90+P4w3U+Te3G7ocH4jK5L3RNcVA4nzx1oGLknvxPOuBcQH58F5cN7882c1bnirz7sWEJWy\nfeEWHBvuXykqZdFW0bnPdQskbjdaxNt2y9cJAVW6b0vEVNQGPVuqa/HxsxVZuxIJSS2toKlkhhgy\nWyrJI6F1raF2e9lGKFiVF9hcTCS60YR2tEs12mOV77E0O8zbKbNqxLxKWVaaVSXrcXGXabRspOQZ\nFJlIbKaFmL6K3nBGUUmF2Iuwl9i6xLaN3Phao5JEZoeFk9jkUiHW+U5glldNLiYOjQpsPAz9DsFL\nbWRNLzdb2uWm7LdSvABc62C95tvlJsmD9rDqEupOB2YZhmRKH0Lvq8OGBL+Z4sTf3swhnh/qPma0\nM6lUadG+dGP7vOfN+WEc7pS4WR4wiCeIiY4glozmh/1GTL+/HKpE2BjrDGeIokPccMje0i5LRRq3\nzDpqmc8fyzvf/utdCYgK0Fg6B4QKGwmu3YxFKdcAuyV412KLd6ICZUOb0ynQVoWxiXWfCb3ANui6\nwtaB7MJ6PVtia9JWjAnSWhhTU61ceJVLqqslu8XWPWmgTNIbniapGM86sTMgGr9il1W2y1LvsGgn\nzlknZVnK2uA58bOW9bgsjcGwYZqVTNIVEz2nKGekpQCiWc/Cih51I+2Vm9t5IsUW47CeB1CmE2GW\n25x1m7BuejIlblk9qwyylZInLblpKNSavFmS1qtz7fJgfuhdbaJ2uU5G1Kpvl2MhNvRg4eNNE2NJ\nTRfY5bR1wVVtT6qcnx96djmlMxmdTmhiQOz8TG+4rqcZmkd4ITYQ1vV0xDCfi/90YOjNbvt4U78e\nODSsgJ7NDjnjyukdicTYYUVwCMChZUb388qLZoj2z29T5a0670pAxA2MFf0rnNceejAMMggFGvc2\n939PtsQAGJ9Y8a831qDCqz2eqZRZlOlqUreH61fPdL2W8Kra7eWG1Dj3pMNA4swK0kyqILcG1xRT\nAMp8l3W6w0pNWLQTFk3OokpZVZp15TZlmv4eB8iMIkkEDMe5B8OKabJmokUD6eeGAKpcCVA3Ta/7\nc8SOr1aDxCaXx7VOpqzakVvRM1ROiB0yoNSQVQbIvAxJl+SsQxUdqsPIYUY5EwVMKj+bjeqw7HKq\nNhHRfKMHzDJsrw5TXTu5Te0A0X2vsbuNB0NnINGZhM7FE3gjByCI97uI5PBVWg9QbfgDYNq6X9cb\n2Jmp8642Manitqe2aQ9D6viGvCcYOmwjVCKpTcxmx3rHi2DvHd4xvzsBUYH75XeBPfZrfLKMIgwz\nivB+oK8io2rw3NceaLnk1tC0gwwMgKSrpAVyw3ntw5AcEGqX2aLqSMvXBxGjTCqvzomIjckk2L3L\nxtS5aPsAVukOKyYs2hHLOmdZJywrw7rSgzbZy/RAgGiUQZEJGE4ykdj04utZT6KAtMoxkRKcbIpI\ngD0ViU0qFeLKjli3GasmZV2bc1sp8UZKkcqDHKU9mZI1qwCGoToM/pSRm7kTYl9UHdadobWcy0Hu\nq8OO1K3qpe4FzLjfl/KZOufMHDwY+nY5EaMPF1wFDGVa/tPos0yMbvusZ+sqxG3tcn/jhZbVS3wA\nl+iXDFjmLrqnfaEXdy9D/eFwNXAouenXW2JCReRo258gb8amyht53pWACBYjPjYBAG3EH1urMBC9\nv1/RA7b+rkNV6Jbhh9IFv4wvr/Ag2w2S0FYNYk1VW6OaxoUi1QwCgV1VqJI0zKhIM2xW0KUFTT6h\nySbSjiYOEO2IZVOwas6DoZe2KC1+t/2sDoqsY5K3AQzHesmonZO7VlmXIvsBxFHGVUgBjNLMte9T\nAcMgsREd4qotWLUpVaP7aADPLEdgmDlWGXBgWJJ1a1I3X1XeAHbT79AbDCTJhdVh1Ro3s/Ri+21S\nm86x/zWpqgbtcgDEAautz4mxfc5z43KeAVrHbA+9Fm3QICaho2jCPRO3y+e2RTbaZT/H69f1fFzA\nsDr0RrBeewgE/aHp6shrcYvcxhnP+udGp3Tkt3j+OWKtpXvAMr/9jl9Hgqjqi9MS1LANvohoiXeg\n/bTRO+f4V/Gg43I3lw6AKHGVum2CqFe1TV/ptNF8KLiHGNBKXJd9RktaBCdu78LtzWcBVm3OsslY\nOzD0hgkx+Pj2NHcmEkXWMc56MJzoBeNOSJS0nIXVPJyBgvWOMn53N5WNFDua0I4EDKvMS2xkU0Va\n5V536Od3m8FRRdKSO0AsTEWu1uT1kqRxs8Nq3f/MwmMQey8gvFi06UgMesmp7ebsULkphCe/htVh\nanrtoWkrTFv2RAoImRK3r55MceYRUh1K1nPr96W3ym2ieZ52wVXICykwaJdV1/T3h/dajNrl8wJw\nFTnqDO/h3vfQyW683jHcv1FmS/jEYYXYt8uG9j7JIw+E2W/T4wExsMsXqOtjrVZ84mG2t0eK//bt\nRpyb60PuAWcE0ISB/MBlOTgfJ16l6y6kwYjtvTWpe6ILGFY+1J2CdVuwakWHuGpSVrUzS3AOO741\n3dyd9iYSo6xlnEaVoRV/w2zt9pT9zNCvCQ6cqJMAhsEBO5+yck42/nGdW9HzRXBk/CrreS0jI9cp\nlOgO02ZFUq1cml7khu0CvWySQiLX6ZKcNs2pk4LKFFRdFqrDut3cIXbfxkZ1mKpGqsNmHdb0ApEC\nw+pQJ1jjfj+uOmx0KjnPtq8Q/fxws132esdEtRJcZfsKUbsd5vPtchRCb3onbuBcuzyYH260y4MZ\nYtQu+woxbpfl/uzZbBsJwLfFEvjzQHbzdjy2rxD7t90/7GFQDW4YxfY3S+Qbhw1MYLCV9+tW0P97\nEwzBzaDcxXQSIiWtkfzgEJuZFNTpiNoU4iNoC8o2Z9WmIct43fTA07R9Jeb3qI0W0iJPO0apPLZx\nWjNJxdtwbOcChs60Qa8XKC8Ij3M8XJuq8gIb7ynnu5TJhLUds2pzVo2UobKit1EdakiD6au0ykVS\nkRshlYRIWWHc7DCs6cUjBS37yl0qFWKXjaR6NoUIsW1K5QLomy0RAf5nE1eHma5JbRVGHMqPNjYD\nQqLqsA3VYUpD6lyxddiG2XS2UcqGas3nPAchdtQyx/cQROtzwW3GBGYZCO2y31DpwszcDthl40AY\nOCe30ZszUl+ROg9QgHN5LVu6KmsfzBDflkfBeUAcvH+zGvTAFyw1B/+Pw+79ANrHDZzLYvGAaLs+\nmwUc6Bn3h3CDD9awkkyG9InMwxqTUxlpA9edi+xs0+A2DUSrcCooQlBxm9yRJ5ZR1lAkUolNknJY\nGZZnmHKJdpUhbT3IRkErmWumWQDDNnereV5e0+Ws24yy6R9X1ajeZV95yzMB5zxtGSUNhakolOxM\n57XIbEy1ktlhNLv0YBhLbAAaR6RUZjRkll11OLy+k0RtqQ79Zoppqkhm451ru7469FIbPzvUKa1N\naDqf0+L33/t5XlwdGt2GCtGECnFT3tMN2uVef5iGzRS/Z/9q7fIwSMoBom2jP1vaZXC7yxtstjLB\nb/Gi8w4vEN+dgAibFd/F7fD9wC/++NBa0PvG+VfWrUv4IDcy2pE0UXDKRkhV5yQkrcml6vDCYl1Q\n2py6SyMwNFRNb0QrFVhfjfQzQyukRSKV2DitGblKbKRXPRhWM1kZrJZQrXvpDwQNWpD95AU2d+7X\nHgzNhFU7kjmmmxn6x9VFzzOjpU3erA59mww4Eba0yqouXXZJ365aD8purgrQpCNpld3PqXK+h3F1\n2I8O5GulyfnqMGlLTLMOFl/niZRodmgkya8xEiFRBzA0gc0eirFt76gTmcB6eY9y8p5Nd5tBZWiS\nyMhB0zq947Z2WYDwfLsc5D2d25feQqiEa0Z/gMheTF04c7fW0r6NHGJ/kvPuBUR7vgWWs6U1jsDM\nzwnPAZwHw1AhWvdKfsEyPDoASnhbxBR27hXfmoTGOEMA5+7c6IzK5lRdStVJRRjmYo2maod7uf5J\nn2hXiRgbojvzpGFkakZJyUjLRkzRLXswXM+FUfZ6SC989psxMADDttgR9+t8R7SGbm5YNgmla5OB\nQXXm55geDHNfGTq9YdYIICb1El2t0FV5HpiTRKy9XHUY4l6TgkoX7meVBG/KzepQu7khIKyyB8Oo\nOtSe+Go3YglgsLfcmlzAcINMaSLTiLg69NVporpApiTO99C4JD9gixC7J1M6JXPDVqfBOAJcPkzU\nLoeHu6VdDqTKlnY5vq7dIHGg1zsGsfmF5g7v7BLxXQuIVqnzYOVODIT+/yquFC8Cw23BO3SicVQi\n9tn2ODxjFxyHvVWUW/kKecHuCVZ1bhbm8lrqVjsJiYDh5iaC0XZQBaWmC5VhYSoKUzHSK4pWdIV5\nvSCrZtImVyuZ1VVV3655aY0zOw1gmLsogHyXdTJhZQUMZRMlcUAtj+m8ALt3wC5MM2CU01qA2kRE\nyqA63GiVm2xEnQrLXpkRtc0oW/l5ba8Obfi5APLz0Q2ZGlaHQRbVbfaeQ2bZGgEmqQ7T4J7eOmfs\nwS2ivM2XDbrDmExRXRsE4CoCp0GlFkt8IiduoDdziB5y73/YDdrlWO94MbvswNBtpnjyJo4n2Pwe\nB/f7A0B8cB6cB+fBAeyDXeaf6Cil/h7wXwMfAD5urf3KBR/3Q2AGtEBzv9jCbeeiKtFHk97/c4cf\n42eBik4cg0N1OaRoBvIev3KlovhS1yq3zkzUV4WA0895DV1C6fKD205RuVawi1pBwAVWEeIzc2dA\nmxlplb0Bbd4uyStZxUvrBaZcYqpl3yp3UXvq5DXWzen66tDpDQOrXIitV5OETBk/Q/MEj9Y+LkGI\nlL5djiQ2rkL0zDKxAayrDjEpNi1os5EzfxVSpSKn7HoTB1nT639G2lfOuq8QM924NT2R2shKZXXe\nxMHT0gObr5Q6KQbtctMl0ZqefEpH3y4P9pbdn6Sthkl+wCYr4kcsvXmEi7+1/YrgNrmNn1f2Oc9t\nkNrIPdu++vwwWtWT70f0h0F2s02YzZtTIb6R+PFWVYjfBH4F+Eev4WM/Y62983q+uGVz66QHqaHW\nKlKJBVbPAZ/tejF3+L+bqVjL1hFKFP4TVq0cU2ddhKn3zGtVMnhCAdRWth28qLhu9Vb5iKzT9vvU\n4ucnT/jcRXb6rY9crcibJXm9CL6LploFMByAj9KQqEBedN5RJxsJGOZT1qkYvgoYps7FRoDIb4T4\nx+i9BtPE6Q2TWuaZekXerYZONiDMclsPBckOnDsvwE4KqnRMZVzLHMDQ6Q4twdUmnh16VhmQ+aGS\n0PukLcOa3jmpjdfjRe2y9z1sdGQeYXXIet70PRxoD3XXC8DDJlO0khjfmxeIsVsXgRvMbjfmh75d\n9mLsRLU9o+3Z7Ivmh/E1o1U9uY551fkh2DdLh/iG4cdbFTL1bQCf4ftGHAmqF+JDnG08c2eiV0UF\nWKySSg+iuSL9PrOYzd4nixZfCUaAiOq1W6rXj0louaHu0kGcKSApfs5Y1D/Bms6vnXkFhg0VIfTB\nSKnpyExDbhqx3VdCWOT1kqxeYJycBYjAsOkBwM86PRhmBZ238somDgx3WDNi1claXtkmEr/aDCM9\n/ZcTprsLAmwfmZDjnGyqZXD8AXrz1zjRLtpV9rPDyoyorFSvXohduxlrvLPso0XTpCN1VTMgjjbK\nuw9Vw+rQRt9IAES3HmjyUB2KEDvZMHHo74m4OvTaw8Q7H7WVC61qhrrDjfkhSgXzCC/G9rkpcYV4\nTm5zbobYGzkAr01uo3pGW65jwrXaja4oeiK8KSzzG4kfb/cZogX+jRJHhX9krf21iz5QKfWrwK8C\nPHTjRohKVFs2UbwgIoSqW+uAsqN/gX8tr3Q9AFqlnJOwaxl9m6w0Lf4m9jZNAoReqhFvN/gnlw9S\n98dr6IwDQxMxpoEkMA2ZB8NuRdasSOtl8FwMwFNLwpQKraGAj98A6bJcTCQyAcQqn4r4mpFLzsvc\nWp6hcm1y26kAANC3yp7pLpKKkW/fG9cq+xS9xj2OJlpXc4/HEyldmtMkbj1P5ZStEFFV12+l+Era\nt+tGQ2okJyXXLZmW64TqsOmlNqE69F6LSmNdtkEstdmsDuvOBDC8qDo0zi19qD3s2+XwPVs7rA5N\n2rPLTowt2zB9hejWBcJ1h+yy3RCARxkxG/6HvSP2sF0OAvAo0e+iTZU3q2V+Hec144c/bxggKqU+\nD1zb8q5/YK39Z6/xy3zaWvuiUuoK8P8qpb5jrf3tbR/ovtlfA3j66adtqxIBQQd04XFtvE3+Hz3u\n1zBbhP4m9ME7Hvx8m93HQcrspc/oNQ7w5Kb2JqIQrXtF1YaWBxmMARLduT8xIIqEJFclmSrJWtn4\nEIME7xiz7sPdY1mJ3502RsLd3ZyuySZUDhDLxIuvXVBUWI1zABS+lA05LYNkQVMP54a120bxAmy3\n7nj+McnWTtjlTkeyvtjlVG7MMGCWB+26HVTPqZG5IeBmh2Ww+NJNdc7Rxppobc2kA6lNXB22tn9B\niE9cHaZuMyUZWIvVoXU9J/GJQMmzy43Ozu0tA+fiVIOZg7+mB2DbDGeIQTYWC8D7bZjOzStjNtu3\nyxe2zPZ1AeIlpVQ8+/u1GLDebPzw5w0DRGvtX/1z+Bovur9vKaU+B3wcuO835I+0zP1ccKBLdKAY\n/j/Qfl3wWCKyxHr/RPobxIfZe0Bso3xcaZP1AAhjqyb/ZDq/h+qqQi1X8EBoomrH+/jlqhQ3bgeE\npindfK50QueqJ066SPjr5DU2kd3pLhtRZxPqdEyZyAxxrcZSGUZgWAW9H+ExxuLnzJE7Pma1UOt+\nbtisgsQmTtDrt3qSvm13msO4VfbreYBzw95c0ROCKTFdXz27nxEgrXKzFhOHphr6HQLoxLkNORPW\nJAvVYa3zgfFsG3ke+muHn4fqN1NS58TtHZF8zvOms81Ae6h7MsXPnGVF0ITrWaIXzziAPspe1l2/\ncx9+zlG73JMp/XZKGPFErXnnA9gulN28rtS9O/cjOd4q/HjbtsxKqQmgrbUz9+9fAP6b1/jZdOjQ\nLrs3ub+2/MJeZRRxLtIUFXwUPSh29GH2/mN60PPA2LOCXedB9Hxl4Z2NFb2Gzc+h0tB+Re2fqiWW\noO3zi4MJbVNKS7pZiRiDN5Po4rY0m1ClE8pEjCSAAIZ+h7ps9IBRjjWQWSLXKJKmX83T6yDATqtl\nMG7YfFxhdhYHRmUjGrfP7VtlrzkEHJGinIua6sHQESmZcaMEpzkEeosvt6Y3qNKiaNEucfvSJpPQ\nKlP0Quww8thMYZS/hVmOY02HRIqOZ5aDGyDSHjq9alwdelfseGfaX9eTKcmATImS/OI9+22zw4hM\nCfPuqOOxnsC56InC26dl/knx462S3fwd4B8Cl4F/qZT6mrX2F5VSN4B/bK39ZeAq8Dk350uA/91a\n+69fy9e3CPD4V+uf5GzPce4Zti4CxdipuA1Zzn3YvQdFfzNtgqHaAGvtjAC8dCJR8RyqCfu3gEQT\nNGuStp+JmXo99F6Ms0AgGDXYRDZleuAZUycjymTMmhHrzll5eRBqZBOli+abQ+Gz7b0N/WqejkiU\nOp4bulY5fgIFMMzpkrxvlZOi31XuhhnLPitFeBCpUo0bLWRGKulU+XwWmaF6ZlnHJg5uX9m3yl0E\niK3p1/SqLuuNZzfIFD83BAZ7y6kSmy8xn62HnodbTGDtJpHiQujjrOfNQkx7r8UoUW8wr7QuXQ8G\n7XI8s+xUEpEpJlwPCJnP98sksvCmsMxvJH68VSzz54DPbXn7S8Avu3//KfCRn/ga3K+0jz/u/KJ6\nDHr9Y1MXVIjyb68Fi1uZkJFL/8oaWiv6jAt/AouM3Nheu+b/9vkssl3RVztJW6KbiqQRoAnB6s3Q\nxw+XwxHs7x3oiLnqKMhZSoowLwTCDrUnLmJvQ1+ReTD03oajDdlPVi+CxEY13sUmkjpBn48Szw29\ncYMtgsSmaqVdBURms7GilyYdWeJjXxtyXQaJDSAvGg4MBz6LfrXSOw4Zty+dFNIq241/ry4AABek\nSURBVGygO/TVoa9MfTUPhNmhrw6TTtx0QjTB5pqe+zkM2mU3s2wRIsWv6cVESiDE6YmUgeaxrc+5\n6JwzoI3IlNakg3a5nyEO79+tx0LbvCks8xuGH2/blvnPdtSgmrvodBvvj8Es/tu/bxMQLwq6l6/N\nubdBT474o+nnTrF+zGjJZxkEVSFDeW9zD0hV6ABRtY20oucyOXSofkBkJAEMvcVYIiYJpR2x7vJg\nJgEEQwlPXHgA8NKazEg15vemAZHXREFRxoVF9WBoB4FNgJA6SbYxNyyoyMOuctX21l7x72ygx3TV\ndG5qci1Jh6mroIEQ5SAgEQGDqw6D/ZrxK5VpMHHwusNN8isWYAOumr+4Ohy26T1BF6IJfHWo++ow\njF667aOWeFXPkynaOlDsemH2cEShBkBslXPkDnPvnlTZfFE/f940HeIbdt6lgLi9ygvv29IOx//e\nBEb/7x7shkAYv3/z9TFmsU38NobVIO7vOLw8ccykf0L5KiNx7R4gYBi7cgcPRutu9OiG97vJ/gmf\njqjd1kdpxlRWtj5iZx3o53TtRmuq9Xkw9N6GvdnrWkiUei1g7RnuKLCJ6HF5vWGYG+qCssspuzRY\ne8UC8N5AwjG6EZEiesNqQKIA7ue0Mb/0rXKSC4niXIcA6ij0vg1kyrA67GMJnAnrBdVh+P3EGsDI\nkLULsQRuz51UBPt+ZrnFBDaW2gQ3HdW6meXG3vLmicgUD8DeTScWgNuN62470ok/cLt5W57Ndjc+\nF8UHXFQhxkAo/+fCm2PQgCtJcjGxBlL1KWhxRQj0r+6qlawNX1nYRgTEbt3LgyDQRxNEdk7AAAh9\n1WHdTKxJCtokp/Eu085mrOp6wsK3yEDQ98nj9+AjNlqba4LB27BdktVLyZ6uVqGCHRq+GtBJb/aa\n5DLLjNt3B9Iir9EDdxd/Bg7Ybm4ouc4VWbd25g1leBEJj6WLAMm3yibh/2/v6kJkS6/q2uecqro3\niRDJPMhMAiP4Q4YQDEajzIMxGpwZNKIoGMGgMQRBQUFQQ/BFfDAGBCFiHDTMg/EPf3DU0UnEQEAd\nmRAGk8lkhuiLo6KIqEFzu87P9uHbe3/7+86p7r53qm9VV/aCS3dX1a061X1qn/2z9lpTu04XikYC\nIq8lKDU2Xdbs0HxS1BaAcoaok2WfHc6GKZ7MX2SHKwyitajis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