{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Synthetic Radiographs with Custom Source Profiles" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[Tracker]: ../../api/plasmapy.diagnostics.charged_particle_radiography.Tracker.rst#plasmapy.diagnostics.charged_particle_radiography.Tracker\n", "\n", "In real charged particle radiography experiments, the finite size and distribution of the particle source limits the resolution of the radiograph. Some realistic sources produce particles with a non-uniform angular distribution that then superimposes a large scale \"source profile\" on the radiograph. For these reasons, the \n", "[Tracker] particle tracing class allows users to specify their own initial particle positions and velocities. This example will demonstrate how to use this functionality to create a more realistic synthetic radiograph that includes the effects from a non-uniform, finite source profile." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import astropy.constants as const\n", "import astropy.units as u\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import warnings\n", "\n", "from mpl_toolkits.mplot3d import Axes3D\n", "\n", "from plasmapy.diagnostics import charged_particle_radiography as cpr\n", "from plasmapy.formulary.mathematics import rot_a_to_b\n", "from plasmapy.particles import Particle\n", "from plasmapy.plasma.grids import CartesianGrid" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Contents\n", "\n", "1. [Creating Particles](#Creating-Particles)\n", " 1. [Creating the Initial Particle Velocities](#Creating-the-Initial-Particle-Velocities)\n", " 1. [Creating the Initial Particle Positions](#Creating-the-Initial-Particle-Positions)\n", "1. [Creating a Synthetic Radiograph](#Creating-a-Synthetic-Radiograph)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Creating Particles" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this example we will create a source of 1e5 protons with a 5% variance in energy, a non-uniform angular velocity distribution, and a finite size." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "nparticles = 1e5\n", "particle = Particle(\"p+\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will choose a setup in which the source-detector axis is parallel to the $y$-axis." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# define location of source and detector plane\n", "source = (0 * u.mm, -10 * u.mm, 0 * u.mm)\n", "detector = (0 * u.mm, 100 * u.mm, 0 * u.mm)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Creating the Initial Particle Velocities" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will create the source distribution by utilizing the method of separation of variables,\n", "\n", "$$f(v, \\theta, \\phi)=u(v)g(\\theta)h(\\phi)$$\n", "\n", "and separately define the distribution component for each independent variable, $u(v)$, $g(\\theta)$, and $h(\\phi)$. For geometric convenience, we will generate the velocity vector distribution around the $z$-axis and then rotate the final velocities to be parallel to the source-detector axis (in this case the $y$-axis).\n", "\n", "\n", "\n", "\n", "First we will create the orientation angles polar ($\\theta$) and azimuthal ($\\phi$) for each particle. Generating $\\phi$ is simple: we will choose the azimuthal angles to just be uniformly distributed" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "phi = np.random.uniform(high=2 * np.pi, size=int(nparticles))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "However, choosing $\\theta$ is more complicated. Since the solid angle $d\\Omega = sin \\theta d\\theta d\\phi$, if we draw a uniform distribution of $\\theta$ we will create a non-uniform distribution of particles in solid angle. This will create a sharp central peak on the detector plane." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "theta = np.random.uniform(high=np.pi / 2, size=int(nparticles))\n", "\n", "fig, ax = plt.subplots(figsize=(6, 6))\n", "theta_per_sa, bins = np.histogram(theta, bins=100, weights=1 / np.sin(theta))\n", "ax.set_xlabel(\"$\\\\theta$ (rad)\", fontsize=14)\n", "ax.set_ylabel(\"N/N$_0$ per d$\\\\Omega$\", fontsize=14)\n", "ax.plot(bins[1:], theta_per_sa / np.sum(theta_per_sa))\n", "ax.set_title(f\"N$_0$ = {nparticles:.0e}\", fontsize=14)\n", "ax.set_yscale(\"log\")\n", "ax.set_xlim(0, np.pi / 2)\n", "ax.set_ylim(None, 1);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[np.random.choice()]: https://numpy.org/doc/stable/reference/random/generated/numpy.random.choice.html\n", "\n", "To create a uniform distribution in solid angle, we need to draw values of $\\theta$ with a probability distribution weighted by $\\sin \\theta$. This can be done using the [np.random.choice()] function, which draws `size` elements from a distribution `arg` with a probability distribution `prob`. Setting the `replace` keyword allows the same arguments to be drawn multiple times." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "arg = np.linspace(0, np.pi / 2, num=int(1e5))\n", "prob = np.sin(arg)\n", "prob *= 1 / np.sum(prob)\n", "theta = np.random.choice(arg, size=int(nparticles), replace=True, p=prob)\n", "\n", "fig, ax = plt.subplots(figsize=(6, 6))\n", "theta_per_sa, bins = np.histogram(theta, bins=100, weights=1 / np.sin(theta))\n", "ax.plot(bins[1:], theta_per_sa / np.sum(theta_per_sa))\n", "ax.set_xlabel(\"$\\\\theta$ (rad)\", fontsize=14)\n", "ax.set_ylabel(\"N/N$_0$ per d$\\\\Omega$\", fontsize=14)\n", "ax.set_title(f\"N$_0$ = {nparticles:.0e}\", fontsize=14)\n", "ax.set_yscale(\"log\")\n", "ax.set_xlim(0, np.pi / 2)\n", "ax.set_ylim(None, 0.1);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[np.random.choice()]: https://numpy.org/doc/stable/reference/random/generated/numpy.random.choice.html\n", "[create_particles()]: ../../api/plasmapy.diagnostics.charged_particle_radiography.Tracker.rst#plasmapy.diagnostics.charged_particle_radiography.Tracker.create_particles\n", "\n", "Now that we have a $\\theta$ distribution that is uniform in solid angle, we can perturb it by adding additional factors to the probability distribution used in [np.random.choice()]. For this case, let's create a Gaussian distribution in solid angle.\n", "\n", "Since particles moving at large angles will not be seen in the synthetic radiograph, we will set an upper bound $\\theta_{max}$ on the argument here. This is equivalent to setting the `max_theta` keyword in [create_particles()]" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "arg = np.linspace(0, np.pi / 8, num=int(1e5))\n", "prob = np.sin(arg) * np.exp(-(arg ** 2) / 0.1 ** 2)\n", "prob *= 1 / np.sum(prob)\n", "theta = np.random.choice(arg, size=int(nparticles), replace=True, p=prob)\n", "\n", "fig, ax = plt.subplots(figsize=(6, 6))\n", "theta_per_sa, bins = np.histogram(theta, bins=100, weights=1 / np.sin(theta))\n", "ax.plot(bins[1:], theta_per_sa / np.sum(theta_per_sa))\n", "ax.set_title(f\"N$_0$ = {nparticles:.0e}\", fontsize=14)\n", "ax.set_xlabel(\"$\\\\theta$ (rad)\", fontsize=14)\n", "ax.set_ylabel(\"N/N$_0$ per d$\\\\Omega$\", fontsize=14)\n", "ax.set_yscale(\"log\")\n", "ax.set_xlim(0, np.pi / 2)\n", "ax.set_ylim(None, 1);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now that the angular distributions are done, we will determine the energy (speed) for each particle. For this example, we will assume that the particle energy distribution is not a function of angle. We will create a Gaussian distribution of speeds with ~5% variance centered on a particle energy of 15 MeV." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "v_cent = np.sqrt(2 * 15 * u.MeV / particle.mass).to(u.m / u.s).value\n", "v0 = np.random.normal(loc=v_cent, scale=1e6, size=int(nparticles))\n", "v0 *= u.m / u.s\n", "\n", "fig, ax = plt.subplots(figsize=(6, 6))\n", "v_per_bin, bins = np.histogram(v0.si.value, bins=100)\n", "ax.plot(bins[1:], v_per_bin / np.sum(v_per_bin))\n", "ax.set_title(f\"N$_0$ = {nparticles:.0e}\", fontsize=14)\n", "ax.set_xlabel(\"v0 (m/s)\", fontsize=14)\n", "ax.set_ylabel(\"N/N$_0$\", fontsize=14)\n", "ax.axvline(x=1.05 * v_cent, label=\"+5%\", color=\"C1\")\n", "ax.axvline(x=0.95 * v_cent, label=\"-5%\", color=\"C2\")\n", "ax.legend(fontsize=14, loc=\"upper right\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, we will construct velocity vectors centered around the z-axis for each particle." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "vel = np.zeros([int(nparticles), 3]) * u.m / u.s\n", "vel[:, 0] = v0 * np.sin(theta) * np.cos(phi)\n", "vel[:, 1] = v0 * np.sin(theta) * np.sin(phi)\n", "vel[:, 2] = v0 * np.cos(theta)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[rot_a_to_b()]: ../../api/plasmapy.formulary.mathematics.rot_a_to_b.rst#plasmapy.formulary.mathematics.rot_a_to_b\n", "\n", "Finally, we will use the function [rot_a_to_b()] to create a rotation matrix that will rotate the `vel` distribution so the distribution is centered about the $y$ axis instead of the $z$ axis." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "a = np.array([0, 0, 1])\n", "b = np.array([0, 1, 0])\n", "R = rot_a_to_b(a, b)\n", "vel = np.matmul(vel, R)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since the velocity vector distribution should be symmetric about the $y$ axis, we can confirm this by checking that the normalized average velocity vector is close to the $y$ unit vector." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[-6.70632797e-05 9.99999885e-01 -4.75720385e-04]\n" ] } ], "source": [ "avg_v = np.mean(vel, axis=0)\n", "print(avg_v / np.linalg.norm(avg_v))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Creating the Initial Particle Positions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For this example, we will create an initial position distribution representing a laser spot centered on the source location defined above as `source`. The distribution will be cylindrical (oriented along the $y$-axis) with a uniform distribution in y and a Gaussian distribution in radius (in the xz plane). We therefore need to create distributions in $y$, $\\theta$, and $r$, and then transform those into Cartesian positions.\n", "\n", "Just as we previously weighted the $\\theta$ distribution with a $sin \\theta$ probability distribution to generate a uniform distribution in solid angle, we need to weight the $r$ distribution with a $r$ probability distribution so that the particles are uniformly distributed over the area of the disk." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "dy = 300 * u.um\n", "y = np.random.uniform(\n", " low=(source[1] - dy).to(u.m).value,\n", " high=(source[1] + dy).to(u.m).value,\n", " size=int(nparticles),\n", ")\n", "\n", "arg = np.linspace(1e-9, 1e-3, num=int(1e5))\n", "prob = arg * np.exp(-((arg / 3e-4) ** 2))\n", "prob *= 1 / np.sum(prob)\n", "r = np.random.choice(arg, size=int(nparticles), replace=True, p=prob)\n", "\n", "\n", "theta = np.random.uniform(low=0, high=2 * np.pi, size=int(nparticles))\n", "\n", "x = r * np.cos(theta)\n", "z = r * np.sin(theta)\n", "\n", "hist, xpos, zpos = np.histogram2d(\n", " x * 1e6, z * 1e6, bins=[100, 100], range=np.array([[-5e2, 5e2], [-5e2, 5e2]])\n", ")\n", "\n", "hist2, xpos2, ypos = np.histogram2d(\n", " x * 1e6,\n", " (y - source[1].to(u.m).value) * 1e6,\n", " bins=[100, 100],\n", " range=np.array([[-5e2, 5e2], [-5e2, 5e2]]),\n", ")\n", "\n", "fig, ax = plt.subplots(ncols=2, figsize=(12, 6))\n", "fig.subplots_adjust(wspace=0.3, right=0.8)\n", "fig.suptitle(\"Initial Particle Position Distribution\", fontsize=14)\n", "vmax = np.max([np.max(hist), np.max(hist2)])\n", "\n", "p1 = ax[0].pcolormesh(xpos, zpos, hist.T, vmax=vmax)\n", "ax[0].set_xlabel(\"x ($\\\\mu m$)\", fontsize=14)\n", "ax[0].set_ylabel(\"z ($\\\\mu m$)\", fontsize=14)\n", "ax[0].set_aspect(\"equal\")\n", "\n", "p2 = ax[1].pcolormesh(xpos2, ypos, hist2.T, vmax=vmax)\n", "ax[1].set_xlabel(\"x ($\\\\mu m$)\", fontsize=14)\n", "ax[1].set_ylabel(\"y - $y_0$ ($\\\\mu m$)\", fontsize=14)\n", "ax[1].set_aspect(\"equal\")\n", "\n", "cbar_ax = fig.add_axes([0.85, 0.2, 0.03, 0.6])\n", "cbar_ax.set_title(\"# Particles\")\n", "fig.colorbar(p2, cax=cbar_ax);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally we will combine these position arrays into an array with units." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "pos = np.zeros([int(nparticles), 3]) * u.m\n", "pos[:, 0] = x * u.m\n", "pos[:, 1] = y * u.m\n", "pos[:, 2] = z * u.m" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Creating a Synthetic Radiograph" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To create an example synthetic radiograph, we will first create a field grid representing the analytical electric field produced by a sphere of Gaussian potential." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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I7HQ0Gg0JCQkkJCSwatUq/H4/Y2NjjIyM0NnZidfrVURXFlZ538H/qqKronJqoYqsyjsGURSx2+14PB5l7dXv99PS0oLNZmPTpk0YDIawzz3ZwqTRaJQoFqTIWxbdiYkJDh06RGJiIklJSSQkJMzapxtOdOXqZVV0VVSWF1VkVd4ReL1e7HY7fr9fEReHw0FNTQ0pKSmsWrVqVrGJdLp4oWi1WpKSkkhKSmJ8fJy1a9dit9sZHh6mpaUFURQVUU5ISFAi9JlE1+PxKNtWRVdFZflQRVbltEYURSYmJhRXJq1WC0B/fz/t7e2sWbOG2NjYObez0iI7fX8ajYbk5GSSk5MB6SZidHSU4eFhmpqaEAQhRHTl1z2X6MrbDm4XUkVXRWXxqCKrctoi9762tbURHR1NamoqPp+PhoYGfD4fmzdvViK+uZhLZFcanU5HSkoKKSkpgORaNTIywuDgII2NjSHp5/j4+FlF1+/34/P5lJ+73W5MJpO6pquisghUkVU5LZlujSibQ9TW1pKVlUVGRkZExeJUM/7X6/WkpaWRlpYGSL3AIyMj9Pf3KwYb8ppuXFzcCSP6gkW3oqKCsrIyDAaDGumqqCwQVWRVTitEUVQm3wRX1A4PD9PZ2cnatWuxWCwL3u6plC5eDAaDgfT0dNLT0wFpBu7IyAjd3d3U1NRgMBgU0Y2NjT1BdINbhnw+X0ikO71yWRVdFZUpVJFVOW0I1/vq8Xjo6+vDYDBQXl6upEkXyqkkspHYX1RUFBkZGWRkZADgdDqVdqGJiQmioqIUN6rpwwyCRTSc6E4volJFV+WdjCqyKm975MIdu90OoAjs2NgYDQ0NxMbGEhcXt2iBhVBhC2eh+HbHaDSSmZlJZmYmAA6Hg+HhYdrb2xkfH6eiooLk5GQSExOJiYkJSStPF93Zhh3IP1NReaegiqzK25pga0RZXEVRpLW1ldHRUTZs2MDw8PCSI7+5osdTPV28UEwmE9nZ2WRnZ3PgwAGKioqwWq20trZitVqxWCxhx/oFi646YUhFRRVZlbcxPp9PGaAebI1YU1NDXFwcmzZtCjGdWCqnU7p4oVgsFuLj48nJyUEURWw2mzrWT0VlHqgiq/K2I9gaUb5IAwwNDdHS0kJxcTEJCQnK4yMhSos1qjgdWc6xfqroqpxuqCKr8rZC7n31eDxK9Or3+2lqasLpdIa1RoyUyJ4qkeypRiTH+gF0dHTg8/nIyclRRVflbY8qsipvG+TipuD0sN1up6amhrS0NIqLi8NehCORLn6nC+lCWOpYP/n/8vdqpKvydkYVWZVTHlEUcblcOBwONBqN4tLU29tLV1cXa9asISYmZsbny/2dkTgOv99PW1sbBoOBpKQkpejndF+TXYqYzTXWz+PxhIjubBOGIFR0g40xVNFVORVRRVbllEZODwf3vnq9XhoaGgAoLy+f0xoxUulil8vFkSNHSE1NRavVKkU/RqMRt9uN3W5X1h9PJyIt6HON9bPb7ZjNZsUgQ07/zzZhKHjb6lg/lVMJVWRVTlncbjdNTU3Ex8crEaPVaqWuro7s7GzFSGEuIiGyk5OTjI+Ps379euLj49HpdEql7dDQEA0NDdTV1eFwOIiNjVXWH+VUqMrMTB/r19bWhtPpxGq10t7ejt/vJz4+ftFj/VTRVVlJVJFVOeUI7n212+1KKrizs5P+/n7WrVuH2Wye9/aWIrI+n4+mpiZsNhu5ubknTOwRBAGLxYLZbKa8vDxk/VFOhcrD1oOjsqVyOq8Py9XL2dnZgJQeHhsbW/RYP1V0VVYSVWRVTimm975qNBrcbjeVlZWYTCY2b96sOAfNl8WKrFxUlZ6ejtlsnnG/wdsPt/4oC4QclSUkJChR2XynAE3f3+mMKIohr1Gn00V0rJ8quionE1VkVU4JgntfAeVCKaeMS0pKlIvsQlmMyPb19dHR0UFpaSkxMTF0d3cvqoVneipUFoiRkRGamppmHEH3Tma6yE4nkmP9ZNFtaGggOzsbo9GoDrBXiSiqyKqsOH6/H4fDgdvtDul9bWtrY3x8nIKCgkULLCxMZOV5s36//4R5s5GYJzuTQMgj6PR6fdhpOCvJXKK3HCxkf5EY6zc+Pk52dnbIAHtAiXJV0VVZLKrIqqwoXq8Xm82GKIqKwDqdTmpqakhISCA9PX3J0d18RdZms1FTU6MY5U/v25xpQMBMP5sP0wVCnobT1dXF+Pg4RqNRKaKSjflP957dpb62xYz18/v9JwipHOnKoiuP9VNn6aosBFVkVVaE6b2vspAODg7S2tpKSUkJ8fHxtLe3L7u5P0z13JaWlhIdHb2gbURS9KZPw7Hb7YyMjCjG/NHR0TgcDhwOR4gx/+lEpCPn+Yz1s9vtWK1WEhMTT0grB4uu3+8/YZauKroqs6GKrMpJJ1zvq1zF63a7KS8vD2nTWE6R9fl81NfXA7P33K6UraLZbMZsNiupTJvNRmVlJW1tbcoYv+l2hacDyylW4cb6HTx4kK6uLurq6jCZTMqa7vSxfsH/zjTAXhVdlWBUkVU5qcjFTaIoKhcim81GbW0t6enplJSUhFyY5FTeUphJBCcnJ6mtrSUrK4uMjIw5L4gr7V0st7ZYLBYKCgqIjo5mYmKCkZERxa5QbhdKSkqKWLuQvO+TxclOhZtMJgwGA+vXr0ej0ZyQPZjPWD/5uMOJbnDlsiq67zxUkVU5KQT3vsoXHlEU6enpobu7e1Fp2vkyfRuiKNLb20t3dzdr167FYrHMuY1IWTNGAvn1CIKgtAvJHsHj4+MMDw/T2dmJz+dTTBwSExMX1S4EJ1/0VqLQSt6n3PdssVjmHOuXlJSE2WxekOhOL6JSRff0RxVZlWXH5/OFtUasq6tDq9WyefPmGYubIm3u7/V6qa+vR6PRzLrfcKx0JDsXwXaFIJ13uZ+0paUFIGw/6anISolsuOOYaaxfQ0PDjGP95OdOF91gC8jx8XHi4uIwGAwnVDyrnD6oIquybEzvfZUjqYmJCerq6sjLy1OqamcikiIrWzLm5OQolacL2cZc2z/V0Gq1ISYOHo+H0dFRBgcHaWhomLG1ZaVZqXM5H4EThMWN9ZOfG7ye29bWRnFxccjv1QlDpx+qyKosC3J62O12KxcMURTp6OhgaGiIsrKyeRXqRCpN63A4qK+vn3d6eDpzFT6dTBYr6nq9ntTUVFJTU4ETW1uioqIUcYiNjV2xi/xKpIsXiyAsfqyfKIrodLqQ97g61u/0QxVZlYjj9XqxWq1UVFRQXl6OIAi43W5qa2uxWCyUl5fPO2paapQou/l4PB62bNmy6BTpXMdxKkayczG9tcXhcCj2jxMTE0rBj8/ne1uN1ltJFjLWz+v1zlq5DKrong6oIqsSMeTeV6fTCUhrgoIgKBaCq1atIikpaUHbXEp1sZyWzs7OVtaDl8KpEskuFyaTiezs7JB2oZGREZxOJ3v37lXSoElJScvaLvR2vGGZidnG+k1MTHDo0CESEhJOGCChiu7pgyqyKhFB7n31eDxKcZMoijQ3N2O1Wtm4cSNRUVEL3u5iIllRFOnq6qK/v5/169cTFRVFb2/vgvc9/TjeSQQX/HR1dbF9+3YmJycZHh6mpqYGp9OpRGRJSUmL+tvOxNspXbxQgn2Vh4eHKS8vx2q1MjIysuCxfqCK7tsBVWRVlozH48Fut4dYI8quRDqdjo0bNy76A79QkfV4PNTV1WEwGCgvL0er1eL3+0+Ka9TJYiWOJdzao5wGPX78OF6vN6RdSBaHpezvdMfv96PT6ZTsACxtrJ/8fJlgYwxVdFcOVWRVFo0oijidTlwul3IXDTAwMEBbWxsGg4G8vLwl7WMh1cVyejg/P18p7pG3EUmRPVXEdiWZngb1+XyKOLS2tirikJSUpAy5ny/vlPMbLmIPN9ZvZGRkSWP9ZNSxfiuDKrIqiyJc76vP56OxsRGv10t5eTlHjx5d8n7mU10siiKdnZ0MDg7Ou2p5oZxKkexKMNcFWavVnhCRjYyMMDQ0pIyfk6Pc+Pj4WQvfTud08XTmep06nS6kInypY/0GBwcZGxujoKBAFd2ThCqyKgtCnkpit9sBlA+obFEYPMEmEh/aucTN4/FQW1uLyWSasWo50sfhdrvxeDwhbj8nk7eD4E8XB3n8XG9vL3V1dej1ekWUw7ULqRf88Cx1rJ/P58Pv9yvvIXWA/fKjiqzKvAm2Rgwuburu7qanp2dGa8SlMFt18fj4OPX19RQUFCjzWZcTURQZHh6mubkZs9mMw+FQDPqXaphxujN9/JzT6QxpFzKbzUqkq57L+bPQsX7BI/0gfHpZFd3Iooqsyrzw+XzYbDb8fr/yoQsuMlqoReF8CRe1LcbUIhJYrVZcLhebNm0iOjoav9/PxMQEw8PDOBwO9uzZQ0JCwpK9gt8JGI1GsrKyyMrKQhRF7Ha7cgMzNDSEy+UiLS1NaRdSL/DzY66xfiCd+/Hx8ZAMgiq6y4d6FVCZlWBrxODiJjmKnF5kFGmmi+xiTS2WgsvloqGhASCkUlqj0RAfH098fDz9/f1s27ZN8Qpubm5W1svk4p9TxbbwVCPYlD83N5eKigpSU1NxOp2KVWHwSD/ZNSlSnOqp96UwfaxfS0sLk5OTtLe3Y7VaFzTWL5zoTh94oHIiqsiqzMhMva/t7e2MjIzMK4pcahFLcHXx2NgYDQ0NFBYWKtWXy83o6CiNjY1kZ2czOjo662uZ7hUcvA5ZW1ur2BYmJSWFXNAWytthTXapWCwW0tPTyc/PD8kYyK5J8ki/YAOHpfBOEQitVktiYqJiOLKQsX7B/8qi6/F4lG2rohseVWRVwiIXNwWnh10uFzU1NcTGxrJp06Y5IzN5PXUpaWR5G21tbYyMjLBhw4aIRzLhCL6Z2Lhxo1ItG/z7uS4i09fLZNtC+YIWHR2tiK7ZbF7W1/N2Yvq5Dc4YyK5Jo6OjIQYOcpo+uJd0vsiFQO8E/H5/iMHFUsb6Bf87XXQFQR1gL6OKrEoIsjWiw+FAo9EoFyw5BVpUVERiYuK8thWJiMvj8WC1WomJiZmXsEeC4JS0vE95JuhSmG5bKDsoySnRuLg4JSUaSQeltxtz3cDI7UDB7UJymr6pqWnGtpbF7m85WKlMhFz4FI5gl6/FjPUL/lcURfx+v/K5mZycJCoqCrPZ/I4TXVVkVRTk9PDBgwc544wzlFRtc3MzdrudTZs2LSg1txTfYZBStQ0NDRgMBlatWrXo7SwEea15eko60ilaQZgamSanRIMHrnu9XhISEkhOTg4bnZ3u6eKFXIB1Oh0pKSlKhfn0tha9Xh9SYTtdZFZySPzJZjaRnU7we3QxY/2C/+3p6SEpKSkkip5eRHW6iq4qsioASnGTfAcqCAJ2u53a2lpSUlIoKipa8IdgsWPq5FmbY2NjlJWVUVtbu+BthNvmXL+fzdBiuddBpw9cl6MzebiCHJ2drLXolWSp5zlcu1Bwha3RaFQi4ejo6BUT2ZUohFvK8k04a835jPWT9yuP9QPp9ft8PiXSPZ1FVxXZdzjBva/Bb/K+vj46OjpYs2YNsbGxi9r2QiwRZeR137i4ODZt2qSs9SwncitSVFTUrIYWJzN6nCk66+npob+/n7GxMdLT05dcRHWqEsnXM73CVm4XamlpwWq1Yjabcblc2Gy2k2YwslLrwD6fL2LivpCxfh6PJ2S/00U0nOgGDzuQf/Z2RBXZdzDhel+9Xi9Op5OhoSE2b968pF7PhaaL5aht+rpvJMRtpg/oTH7H4Z6/kina4OhMq9UqxgKnYxHVckeWZrMZs9msFPuMjIxQW1tLfX09DocjZKTfchXZLSRt+3bZ72xj/YaHh7FarUqUO70qPJzozjZhSP7Z2wFVZN+BBPe+Akr6yGq1UldXh06nY/Xq1Us2U5ivMMliMTExccJIvEh+kIIv3rJTVV9fH+vXr5+XMJ0q66CCIGAwGEhOTp6ziCopKSkiLS4nk5N5ngVBwGQyKX3Xoigq7UJVVVW43e6QgrRIncuVTBefrP0GF6BNTExQUlKiOFLNNtYPQkX37T7WTxXZdxh+vx+Hw4Hb7T7BGrGvr4+1a9fS0NAQkQvdfCJZl8tFdXU1CQkJbNq0adk+LPLrlKP1+vp6tFqtMg5vPs8/VZmtiKqjo2PJLS4rwck838E3X4IgnJAClaOx6cKwFFevlUoXr1QE7fP5MBgMSsYFIjvW71QW3VP/06YSMbxeLzabLWTuq2ywbzQaFcHRarURE9nZtiO3BRUXFysFP8uFLLLyIIOcnBylMGYhzw/+fjqnyvSY4LRdUVFR2BYXOcoNNpE/VTjZ53G2/QVHY/K5lIWhubkZQRBCXL3mW1R0OqaLF7rfSI71k58vcyqJriqy7wCm977Kb1bZzWi6wb4gCBHpC52p8Mnv99PS0oLNZltwW9BSjqW3t5fe3l7Wrl2LxWJZ8PODRXalBXUhN0HhiqiGh4cVE/np1bYrfaNwstPyC/lbThcGefTcwMCAMgVHjnJnu4F5O1YXLwWfzzfnfiM51g8k0R0aGkIURVJTU1dMdFWRPc2Re1+D577KLTKjo6NhHZQW23oznXDpYqfTSU1NDYmJiWzYsOGkvNnl2bdjY2OUl5cvOsU32zkJTkcvN0vdh8FgCDGRDzbnn5ycDCn8OVnDF6ZzsiPZxQre9NFz06fgGI1GJdINrgI/HaqLF8pCX+9Sx/rJbYjy5z040tXr9Sdt2UQV2dOY4N5X+e5NNl2Pj4+nvLw87Bt/qSYSMtOjv6GhIVpaWigpKSE+Pn7J258PNpuN2tpadDodxcXFi/5gzXWBWOnq46Uwvdp2cnKSoaEhampqcDqdOJ1O+vr6Ilr4MxunUrp4oUyfgiN7A7e1tTExMYHFYiEpKQmdTveOWpONBAsd6yc7tRmNxpBCKr/ff3Lb8U7anlROGuF6XwEGBwdpbW2dcw00UiIrbyfYNaq8vDykinA56e/vp729ndLSUlpaWpa0rblEdKVTrJEiuIhKNhx46623sFqtEfEJng8n+2ZlOaNK+QZGrgKXvYE7OzuZnJzE5/MpwnAysgYrvcwRSeYa62c0GpU09fTXraaLVRaNnBoNTg/7/X6amppwOp3zErlIiqzT6eTo0aOLdo1aDH6/n8bGRtxut9Lru9RIcz7HfbLE4WRGzbJ/dXFxMXCiT7A81SWSRVRv50h2NoK9gc1mM0NDQ2RmZp7gmLTc/tWni8hOZ7rpiMPhoKqqisHBQbq7u5WxfgkJCfP2X48EqsieJkzvfZUjDDldmpaWRnFx8bw+YJESWfmuff369cTFxS15e/PB4XBQXV1NWloaJSUlIeszyylMb+d08UKYXkQVbg0yEkVUp6PIBiMXIE23KZQdk4L9q8P1karMjclkwmQykZOTQ2xsrJK67+rqUtqITgaqyJ4GyMbdra2tFBQUKBf8vr4+urq6WLNmDTExMfPe3lJFVo6crVYrOTk5ERHY+VwI5XT46tWrT9inKrLLQ7g1yKUWUZ3K1cWR3Of0qH+6Y5LP5wvpIwVCRHclqoQXw0qOEvR6vUomSx7rF4kAYiGoIvs2x+v1YrfbcbvdjI2NhZgtCIKwqGrapYis3W6npqaGtLS0iL2h56rcDW4JmikdHkkRlC3fpjvUqJxYRDXdQD7YyGGmIqqVSBef7GKg+QiPVqsNGenn8XgYHR1lcHCQhoaGkN+fiv3OMvNp3zkd9y2jiuzbFLn31el0IggCer0ev9+vePHm5uYuyGwhmMWK7MDAAG1tbcpQgb6+voj224a7iMgtQUlJSbO2BEVKZGXzDrfbrTTLJycnn5RBBjJvp6h5ejpUjszkIip5PXd6ZPZOSBcvVBT1en1IH2nw0IiamhqioqKUG5jY2NhT5sZvJSuaw4nsdJ/k5UYV2bchcu+rx+MJKW5yuVw0NjbO24t3JmYykZgJn89HU1NTSKERRLaAKpyoLMQxKhLC5PP5OHr0KAUFBWRkZOD3+5W+vfHxcY4dO0ZqauppOxlnIbg8PjZ+71VWp0fz1Ke2A6HuSTDl8CObDciRmdfrPakX5pVIZ0Yiep7e0uJwOBT7x4mJCcxmsxLpLtR8JZKcapHsyb5BVUX2bYbH48Fut4dYI7rdbmpra/H7/TOOalsICxFHOT2cnp4eUmgEkYu4wrktyQMF5usYtdRj6enpwel0cuaZZyo3MMEONU6nk4KCAmw2mzIZZymmDl6fH5321Ez/zYd/He1GBAyzvIbpDj8ul4vh4WE8Hg979+5VqkGTk5OxWCzLJoQrFclGep8mk4msrCyysrIQRVFZH29qamJycpLo6Gjl+nEyJzWtpMiulLNWMKrIvk0QRVExBgjufZXHwxUWFuJ2uyPyhtJoNCHuKDPR19dHZ2fnjIVVke63hdB5sxs3bpz3hWqxLlY+n08ZmGAymZSL0/T9CoJAVFQUCQkJIZNxhoaGqK6uxu12h6xHzlQp2jvu4Lyf76Ygyczzd+wM+5i3Q7r4sSO9ALxrTcocj5wiKiqKzMxM2tra2LFjBw6Hg6GhIUUklsuJaqVEdjmrhYMLfXJzcxFFkbGxMSoqKkImNYUbsB5pTkUDDDVdrBLCTL2v08fDtba2RmR/c4mjLDxy5DxTYdVC084zIYuK7LU8fd7sfLex0GOR24EyMjLIzMzk4MGDC9rfdFMHub+0tbX1BGN5+SKUHitd7DpHHQs61lMJn1+kvn8SgJ2rFtePKAgCZrOZ3NxcRSSCi6iCR9AlJSUtSbBOleri5SRYdM844wylfmN4eFgZsB48di6Szl6nQvHRSqKK7CmMKIpKegdQBNbhcFBbW0tiYuKyjIebTWTlvltZeGbbd6Q8kAG6urqwWq0nzJudLwuN/mQLSLmIS97GYrcfPPkGpopWent7lSlISpRm0OBw++kedZCVsDLewUvhUPsoXr90LvKTI7MWKAjCoouo5uJUrS6ONMG+xRqNhvj4eOLj40PahWQLSPl8Th87t9j9qiKrcsoRbI0oiytMVfCG6wWNFDOJbG9vL11dXZSWlhIdHb3o7SwEj8fDxMQEOp2OTZs2LfpiOF+RlTMEk5OTC7KAXKiITy9aCe4vTY3y0+6GP71ex/9cWrqsqbzl4N8VfQCYDRqio5bnEjNbEVVDQ4MyDSfYx3YmVkLwViKFOts+p7cLhRuPGC7zMt/9roTIhvs8rsQyiyqypyA+nw+bzaa8OeXRc3IF72wX/0ikvqaLo8/no76+HmBBfbdLTRePj49TX1+veL8u5aI0HxF0u91UV1cTHx+/4AlBSz3nwf2l7xpo5I+723mteZxLA6m8hIQEkpOTSUhIOKXXZP1+kZdqBwHITzx5Fa0zFVHJPrYmkymk0jb47/VOiWQXIuzhxiOOjIzQ19dHXV0der0+pF1otu2u1OSfmSJotYXnHUywNaIgCMobZL4pWlkcl3rXGCyy8pDzrKwsMjIyFvTmXGy6WBRFurq6GBgYoKysjPb29iWLylzCNDY2RkNDA6tWrVq05VqkhG9rXjx/3N1O94SXNWXlmPVCSFQhr0eaTKY5L3Anm4ruCcYcHgBKM+bvMhZp5CKqzMzMkErbxsZGbDYbsbGxiui+E9ZkYWnR8/TMy3QzfrkSPJyd5kqli2W3p5Vm5Y9ABQjf+yqKIr29vXR3d88rRRtJkfX5fPT09NDd3b2oIefBx7MQvF4vtbW1REVFKe1IkUg7zySywYIebrbuTISb6hEpkS1Ok/7OIvBm0zCXr08LGRTe0NCA1+sNucAlJyeTlJSE2Ww+KYJxz2st/O7NNv7vPau5tjxL+fl/awaU/69KWbnezGDCVdoGF/3I7S3yfNKT4RF8qqWLF0qwGb+8tBVspxkdHa1EutPd0U4Wp8pasCqypwBycVNwetjr9VJXV4dOp2Pz5s3zerNotdqIVPPK5f4ajWbe+w7HQoXHarVSW1tLfn6+kvZbzHbmeyzyOTYYDEvuL46kyGbEGtEK4BPh+ep+Ll+fFvJ7vV5PdHR0SJQ2NDREfX09DocjpOp2uea/vlQ3iMvrD+mDFUWRF2r6le/zk05eL+ZCEASBuLg44uLiKCwspKmpCVEUGR8fVyr05fR8fHz8slyoVyKSXS7RkSvBp88kHh4epr6+nrGxMSVFn5SUdNJqDGZLF59MVJFdQeT5km63G61Wq6Q25LXIvLw80tLS5tjKFHIEuhSsVis1NTXo9XpKS0uXtK35RqCiKNLT00Nvb29Yt6rlEFk5DZ6Tk0PdhJ5/v9LKly9ataTtRwqNRiA30UzrsJ03Gofx+PzoA2LWPDDJXw4NcdvOTGW/cpSWl5entGYMDQ3R0dGxpKrb2WgfkSre12fGKj+r65uka8ypfH+qiux05HYr+bMmewQPDAxQX1+PXq9XTDEiZVd4qq/JLoXg9rX8/HwaGhrQ6/W4XC6lXSh4pN9y3Qiqkew7HDk9fOzYMUpKStDr9YiiSEdHB0NDQ5SVlS244X4padVgoSspKaGjo2NR21no8cjDDDQaDeXl5WE/FJFOF8smGqWlpVgsFi7+05uIIpyZH885RbOvx862fhfJYqS1GTG0DttxeHwc7hhje4FURfvZRytoHrJzTlE8WVknPk9uzfDrzTS7YlifYUHvtStVt3LBilx1u5gL/aTLy6RLuplLsExdIP9bM4CAlObWCJCzhPajTz18jLOLkvjQmTmL3sZ8mS540z2C5fXHjo4OxsfHsVgsyo3LYp2o3u7p4oXuV14DLywsDNt+Jc94TUxMjNg6quwrMB01kn0HIBc3ydaIstl/bW0t0dHRi05dLlaMglPT5eXl+P3+iJpIzIQcTWZnZyuj0haznfkei9/vp6GhQanQlj/M71qTxAu1w3z+sRoevWUzxanh1xJnmwYU6YrfkrRonqnqRwBeqRtURHZdZizNQ3ZeaBjnXeUzP/8XLzfx6OEebjgzm2++e02IYMgXt4mJCWXtTF7PnQ+H28eU/8cEtei8UDtAjFGHCCSY9Rh0i7ugt415eaV+iD3NIydFZOcqfJq+/jhbEdVC1vTfSSIbvN9w7Vejo6OMjIzQ3Nx8glHLYqNRn893gmCrLTynOcG9r7I1olarVSZpLMbJKJjFrMnKU3ump6YjbYc4nYX03EZCwLxeL729vWRnZ58wvP7TZ+fzQu0wHp/IJx6u4NFbNpMWG97wYqbjiLTIFgUVDb1UN8idl0q+0DtXJfDvij4qeu2zPj8lRjr+vgknPp8fj0/EaNBiNBoVf9vP/P0YGtHPl3b6FKs92fVnNhelV+uHADDpNWg00nlsHrTRPGhDrxWIjtItKVX8hyqpOvnqTTPfeEWShVQXz1VEFeycNFsR1emcLp7OXGnb6e1CHo9HGbxRX1+v9DwnJiYuaKSfuib7DiNc76vf78dqtWKz2eZtdD8bC1mTFUWR7u5u+vr6TlgHjZTncLg383wtGYNZ6vGMjIzQ3d1NamoqOTknRkarUiyUpkdT3zfJqN3Dpx+t4oGbNp5gpDDXhzOSIlsYEFkR6B5z0jhgoyQtmjVpUltM74Rn1ufHGqWL+8CEm7XfeYVYo46Dd54X8phX6ofQCAK//tBm8vPzT0jjiaKoVIcGX6D3tAwDkGCeer++EKgq9vhEbC4vBYsU2QOtI/TapPN429n5i9rGQllKC8/0IqrgQetyEVW4qGyl0sUrsUa50LVRvV5PWlqactMv9zx3d3dTU1OD0WhUzuls067UNdl3CMG9r4DyR3c4HNTU1KDT6cjLy4vI4v98xcjj8YRU1Yabt7gcaRV5Ys98LBkjcTyiKNLW1sbY2Bi5ubmzPva9m9L53vNNIELToI0v/KuGez6wXik4mus45NcyanNx8wNHyUsy8asPbFzwMcvkJpjQaQTFnvCV+kFK0qJJC3gbu3wi/ROuGSNuvVY6nqFJFwAe34nvC1EEIeg6Pz2NJ0cUnZ2d7Nu3D4PBgCE6nvYR6b2cGhMksrUDZMUb6R5z4vaJ5CctvH3H7xf51n/qAEiPjSIj/uRYSkayTzbcoPXgqExeE/d4PCtiq7gSfaNLvaEI7nkG6ToyMjKiTLuyWCwhSx7yefX5fIuyYI00qsguI36/H4fDoVQPy3/8/v5+2tvbWb16NcPDwxETtPmIrJwent4mM51IXwBkO8jS0tKwE3tmYzEi6/F4qKmpITo6mo0bNzIwMIDb7Z7x8ZeuTeFHLzaTYNJjdXnZ1zrGt55p4PtXrFbOxVwiK4oiBq2Guv5J6vonaR6cZFXK3PaT4dBpNRQkm+kadaDXanilfpDbzikgwTyVfjzUPsq7y9LDH0/gX9kYwuOb4bhnOQY5omhubmbnzp04HA6eOtSmPE/vc9LV1YVTG01Nr5XVadEkW/QM2TwUJC88kn2mqp+WISkNfs2mzAU/f7EspxnF9KhMXhN3OBwcOHBgRoFYDk7VdPFCkduF5GlXNpuN4eFhGhoaQtbInU5n2P5+NV18muD1erHZbCFzX+VUqc/nU4abj42NLbntRmY2kRVFkc7OTgYHB+dVuRwp4RdFkYaGBlwuV8hA94Ww0HSxfCNRUFCgrPPMZfEYZ9JzfkkSe1tGcXv9rEmz8HTlAOmxUdxxXkHI6wmHLLIWo55Es54Ru4c7Hq3kqU9tW/Rc2FUpFnrGnHh8Ise7Jhi0ukiJiSLaIDDpFnmjcXhGkfUEImCHR3rNXr+I2+sPKUYSWdgFx2Qy0TghoBEkkc1KjsPj8fDQW1UA9I7ayIo3MmTznLAm6/P5EWHGc+Hy+PjJi43K95eum/kGMNKcTPGR18Q7Ojo488wzFRMHWSCCW1si3U96uohsMIIgEB0dTXR0NHl5ecoa+cjICAMDAwwODjIwMBCyRn6yRfbU8WM7TZDnvlqtVmBqcs7k5CRHjhwhLi6OdevWKWITqfXP2bbl8XiorKzE5XJRXl4e0Vmcs+FwOLDb7ZhMJtavX7/oVNV8I1l5nbmhoYH169crAgvzs3i8akM6VpeP80qSqOu3cU5RIvft7uQfR3qU45jtGGW2FSQAUtr5T3vCt0L1jDr4xF+PUt9nnXGbq5It2N0+HB7pJkwuOEq2SNHswfbRGZ8bLnLtm3Ce8LOFXm/2tY4iAH4gLd5CQUEBtZNRrEoxM+EWMQh+DBpoqz1GY2Mjo6Oj+P1+fvxiE+u+8wr3vRV+HOOD+zvpn5BS2/FRsDptcRmAxTCfSLZ3zIE3TMp9KfvUaDSKOJSXl7Nr1y5yc3NxOBxUVlayZ88eamtrGRgYwOOZfQ1+Ppwq1cXLibxGXlBQQHJyMuvXrycrKwubzcbx48c5fPjwSTmOYNRINoLIva/Bc1+DC4zC2RNqtdqIRbJarfaED6NsbBEc1c2Hpd7tDQ4O0traitFoDFtstBDmI7LyEANBEBa9zryzMIFkiwGPTyQzLoruMQdnrUrg+883kWwxkBS0DYfDcUJ6T/7d+sxYnquWCoF++Uoz55YknyAafz/UxRtNw1idHh75xJlhj6co1YJ8xAlmPa/UD/L+LVmkx+hpG3XTPeZk1O4OKUCSCbcG2z3mJDdRijBfrpOOz7eAG7xBq4umQZvyfYJZT/+Ek6Od41y8NoXmQTsGk4mCFD1nbN6sFJzV1NTwz0OSwJelGU8QtRGbm9+90YpBK61Bn5GmO6nRxlwie7RjjA/96RDxJj17vnJOxI5t+naCi6iCx88NDw/T0tICEGIsslDhWsnh6Sc7egTpmqDX64mJiSEhQbrx9Xq9J/041Eg2QrjdbqxWK16vF41GgyAIeDweqqqqsNlslJeXh10fiHQkKwu2KIq0t7fT1NREWVnZggR2Kfj9fpqamujp6ZnRXGKhzHWO7HY7R48eJT4+ntLS0hnL9ucSWZ1G4IqyVPa0jHL7Ofk0DzlYnxGNAHzusRqax7yKmFdUVLB7926OHTtGV1cXPp9P2X6wMb5eK/DVx6twe0OP/1PnSCno490TOD3hb7IKA7NYTXoNydEG9rSMYHf7yIiZWpc93DEW9rnhRLYraBD8kcDz/AtYFdjfFho5x5v1vBiYuAMQZ9IxaHWTn2RWDOXXr19P0qoN2DwiggAGay+7d++moqKCnp4eXC4X97zeit3tw+0T8YtQnnJyK0JnE9knjvbwwT8dwi9CbqLppIqFXERVUlLC9u3bOeOMM4iLi6O/v599+/Zx8OBBWlpaGB8fn1em51Sptj1ZhHu98rX5ZKJGskskXO8rTE11mSuCjGQkK4uR2+2mtrYWi8WyJE/ehRaEuFwuqqurSUxMXPCouNmYTSDliHmugqr5ppyv3JDGn/d1Meb0cEFJEg/s78agFXB4Rb6/x0YUlZQVZLB27Vo0Gg2Tk5MMDQ0xMDBAf38/IyMjpJilOb8lqRa6xpzU9k3yuzdaueOCKdtGc5ROWbt9+GAnt+zMP+FYCpLMaASp59Xm8uHy+tnTMkySWfrYCsChtjEuWnPi+qXHJ4kaIko03B1keegOpJMX8s7Y3zpKlE6DK3DDkGA28MSxdlalWGgcsLEpO47dzSNcujb0eH71aovyejZv3qysmw0NDfH87iM8fMBGvFGDwyuiETSsSVqYEPzylWYSzXpu3JazqPdcuPe5x+fnR/9t5K/7OwHQaeC3H1x8tXgkmKmISjYWmauIaiUj2ZXgVJnC884548uAz+djcnJSGawur/u1trbS0tLChg0b5owgIx3JylaNWVlZFBUVLfuQc5nh4WGOHz9OQUEB+fn5YdOoiyXcscgRc29vL+Xl5XNWLM/39RSlWFifEcNTx/v52sWSKOYFinjcfvjpES8xyRnKTMqYmBgKCgoUk4uUlBREp5X4KAGD34nd7aMsw8Lv3mijsnsiZF/vKpXeG/e92Y4vTEgZpdeSk2AiSqehZ9zJxaUpxJv0isjCzOuyHp8f7bSLbPfYVCTr9vqU8zJf9rWOkGDWE2uS9q8V4GDbKGcXJdE6ZGdVigWvXyQ/qLJ4xObmtXop2j23WJoiNGxzc+6vD/PvNpEXB8zodRpGHH5EEdYmgtNuo7m5mbGxsTn/Zrubhrnn9Va+91wDNtfiblani+zwpJtbHjyiCCzAJ87KJzl65dtBgpGLqDZs2MCuXbsoLi5GFEXq6+vZs2cPlZWVSrYA3nkie6pE7u+cMx5BZBtEq9Wq9J4JgoDL5eLYsWOIosimTZvmVR0YqUhWFEUGBgYYGxtjw4YNyli0xbIQc/+WlhY6OjrYtGmTsvax0O0s5Fjk86zT6SgrK5vXGK2F3DRcuSGN+gEb4w4vt52dR12/DWPgszpk9/HJhyuwu09c2xEEgeTkZFavXs3G3ERcQhSrkqIYmXQQaxD53N8P09LWofRMX7VRcjQasXt4pX7whO2BZEphd0vvj+s2Z7ElL4HkgMiKQE2vlUnnicfi8YloNQLBrzg4XewJRKPzldjuMQcdgf7YtICbVGackV9fv4H8RKmQTjb1CB5x98ihLuQarO2FUv/tnU/U4PD4qega58XaQVanRaPVgNMr8r4dq7FYLJhMJjo7O9mzZw9Hjx6lo6NDqdaXqeye4LaHjwFQnGoh2ri4qCVYfCq7J3jvH/ZztHMcrSClwONNej62K39R2z5ZyFW2eXl5bN68mR07dpCTk4PD4eD48ePs2bOH8fFxRkZGTuq65ErYGMqcKjcVK38EbzNEUWR4eBibzRaSHh4aGuL48ePk5+dTWFg47z9uJETI7XZz/PhxxaEnEqX/8zkut9vNsWPHAGZ0rIr0BJ3R0VHlPE+PmOe7jbm4bG0Keq3AE8d72WwZIzdWh14/dQGv7bfx5X9Vh0Sf07efaNHTOGinICWGbqufW85aRbfVxx8P9FNdXc2ePXswTPYS8Izgd2+Er7pdnxlLSnQUGmFqHVWuLgZpTfVI59gJz3P7/Og0oecmeEKOK6B8Lp/Im41Dc56T/a1SxDxidxNvkvafEhPFRWtS6Rh1YNBpuHJDBk9+ajsbsqR0udvr58F9U9HghqxYJl1e3mqWHKNGbG5SYww0DkxSmGxBqxE4uygRrVZLZmYmZWVl7Ny584QIraqqin01bdz8wGEl7f3e8sX31cqR7JPHevjQnw7h90OUTktKTJR0o3VOPjGLFPCVQh4UsWrVKs4880y2bduGXq/HarVy8OBB9u/fT2NjIyMjIxHLpIVjOXuQ58NMPuMnE1VkF4DX61Vmnvp8PqX3srGxke7u7rCR3FwsNZIdHR3l2LFj5OTkKF6qkWAukZX3m5ubS2Fh4Yxv3EhN0PH7/XR0dNDa2srGjRsX7PG8EJGNN+s5uzCefx/vJTExie9dvQ6r06sIIsCrDcN879l6ZZvTt58fqOJ9rWGIeJOOo13jfGBLFo/XjCOkFrFt2zYy0lJZnSzdmFT1WPn33uoTilhuP6+QRz+xlbUZsYqYBqeLNQIcCjLslwkejyczaHUpBVjBhVjT7SODcXulgq79raPEm3S4vSJr0qO5emOGIjyHO8Yoy4w9YSDAc9X9jNqlaveMOCOJFgP3vdWGX5SKuer6bewoTMTu9uP0+NmSF0+s8UQry+kRmiYmmS893apMAgLYkLL4z5HH5+eHLzTz1Sdq2JAlvQ6tRuqdzoiL4oNbsvjcoxV895m6RW3/VEAepVlSUsKOHTuUJZa+vj727dvHoUOHaG1tZWJiIqLR56mSsl1JVJGdB3Lv6+TkpGIuIbfrHDlyBKPRyIYNGxZljbhYEZLXftva2ti4cSNJSUknpedWtipsbW1lw4YNin3cQrezEPx+P8PDw7zSNMqadWWLskpbiMgODQ2x3jLJpAcabQbKc+K4ZmMaflFKr8ofmocPdnH/7nblecHbv2y9ZBLh9UN+koVXG4b40NZssuJNfO2Jalw+SE5O5j3lkt2jVoAn6yZpb2/n1TfeVKqW5dTy5tw4Kron8Pj8mA0aChOjSDDriTHqONo5fsJr8PhE9LrQGx8R6B2Xoll3UPVxnGlmkf3MI8e55QUHr9QPKH7KV2zI4EfXrkMQBBxuH9U9Vs7IjQ/dlyjywN4ODDoNOg2U58Rhc3n5y16pb1gQoDQ9mqruCYpTLXSOOrhg9ZRxyEyM2r184akWRp1Tx58Za8DkmWD//v1Kxe18xWJ40s0P99l4+FAPH96Wg4BI34STm3fkUd8/yW1nF/DpRyp4vmaAhw924fFGpkhxJfD5fEqGTa7+Xrt2LTt37mTdunXo9Xra2tqUqvmOjg7sdvuSRFcVWVVk58Tv92Oz2XA4HGg0GiVFPDAwQHV1NSUlJeTkLK6qERYXyU5f+5VFZ7lF1uPxUFFRgdfrnfea81LTxZOTkzQ0NFA3oeVne8c5/5f7aRiYXPB25nMc8vpyd3c3N150BkkWPf+u6AfgCxcUYtZPVeommnUIwE9ebOKZyr4T/v45Ae9hgIrucTTA40d7uOvqtXSMOPhpwN1oZ6F0k+ITYU+blU8+P8pnXnVTUFiIx+NRUstpGhtOj5+q7jEEQeB3V+eyJS+eOKOO+z984sw7j8+PIYy7klz85AmKZONmSYW2BWwOf3j1WjYG0sDBa64V3eNSb2tefMjzDneMUd1rxe314/XDxqxYHj7YhTPgQGV3+7lqYwbNQ3ZKUqUe4gtWJ8+aXrQ6vXzsr0foHnUoqXqdRuCCNamKWJSVlaE3GELEorOzU7lZCUZef20e8/HDq9ZgdXo52D7O965cy78reslNNPHnve3sbh4B4GfXrUevW7pgrFQKdbb9mkwmsrOzlSKqoqIi/H4/dXV1Soo+uIhqvqyUyIb7rK/U+rAqsrPg8XiU3lfZXMLr9TIxMcHY2Bjl5eXExsYuaR8LFcaRkRGOHz9OXl7eCWna5RTZ8fFxjh49SmZm5oKqlpdyTL29vdTW1rJq1Sq2ZFmIM+mwe/y8749HeHB/F/4FfGjmElmPx8PeQ8cA2LBhA6YoA1eUpfFG0wgjNjcJZj03bZAqmLVagRG7l+RoA3qNwFefqKaizxGyfY1GUObS+kWINxt47Eg3azNi+Mj2HB460MXelhFWp0UrKVKtRsDj9eMX4aWmSQoKCtiyZQvbtm3jrDXSmuNTu6tobW1laGiI3Fg93WOusK/L4xOJCqRvg5dm5Tae4HNnniVdPDgp+T0XpEQzOOkiK94Ykl4+3DGGIEiRajAP7O3AqJ96jxSnRXPfm20AROk0PP3pbRztHCfepKd33El2vJHcRPOMfyOnx8dtDx+joX9SsYzUCpJd5DnFU0V+w06Ry/5UzwP1Art27VJMHaqrq9m9ezfV1dX09/fz2OFOPvSnQ2gEgf/dbqRnwsWTx3v57PmFeHx+WofsDEy4aB+WxPny9Wlcvj68heVCWYkxdzLz2a+cos/Pz1dS9NnZ2SFFVLIT1VxFVKeay5TcFXAyUUU2DHLv6+SkFDHJAmu1Wjl69ChGo5Hc3NyI9GDNdzyd3++nubmZ9vb2GdckFzNPdrbj8vv9iufxYk0t5vIMDoff76e+vp6RkRHFxEMjwN9v3oROkETrJy+18MmHKxUrvvkcx0wXcKvVyrW/28dtL1ixGZOVD+GVZWl4/SLPVkuVv+fnmyhIjMLjE0kw6dBrNWg1AlpB4Fsv9dA6EmpbWJ4Tr1TvDtvc2Nx+njjawxcvKqIg2czXn6zB5vaxozARnUYg1ijdREBoIZRWq2VNXjpZ8UZGNPHk5OSg1+uJZRKfKPLc7qMhqWWQIlmjXoogdJopse0KRLLBrovT125lJhwexfvYqNPSMGCjODXUuepwxzjFqdHEmaaKsTpHHbxUN0icUU+SRY9WI1DVPcF4oAp6R2EicSY9L9UNcsm6VI50jtM15uSH/61X/lbBeHx+PvePSg63j4Ws+67NiCFKp+HMfKkOYmjSxdX37sfjExm2u5UWq/z8fLZs2cKOHTtISU3nJy+38Y1/11MUJ/Dji5LpGvfwq1dbuWpjOjdvz+Gu5xsAFBvFJIueb79nTdhztBhOlarX+RKuiColJYXR0dE5i6hWKpI9ldLUb5+/9ElC7n11Op0hva+dnZ3U19ezbt064uLiImogMRdyelij0YSkh6ezGEGbiWDHKofDsWjP4/l4BgfjcDg4evQoFouFtWvXKu1RoiiSk2jmm5cXK4892D7Gtfcd5vma8O0v019PuOPo7e2VhtanxCICNz1wnIpAP2txqoW16dE8VdEHgFaj4ZvvkiwiXT6RnnEn71qbitPrx+sX+cOB0ONYmxGjpJe1GgGdRuCBfZ0YtBp+dM06+iac3PV8A9sLEvH6RUbsHiUN2jHqoH/iRNE+0jmGVqslNjaWd21dJx2LKQmv16uklmtqarA5XERpBQQBMuOl94tBq6Gu16r8n6BjC8fxoL5ejQZah2xKdA7g84sc7Rw7YT12T/MwGkGg3+rCbNBRnGrhL/s6lP1cuDqFRw514/OLHGid6vPNjjedkNL0+0XufLKG1xqGSI2JUowwdBqBMYeXbQUJmAxaRmxurv/jISacXgTg59eVnfB6Ru1evvh0K0/XW7l5Ry4Pf3IXYz4Df67xURKv4aIUG1f+djc2tw+zXgOCtDzw3SvXEmuau01svsi+xW9XtFqt0qoWXETV29t7QhGV7IB3sjlVjChAFVkFee6r3PsqR69ut5vKykocDgebN2/GbDZH1KVJ3vdMBJs8FBQUzNukfql4vV6amppITU2lpKRk0R+UhaSLh4eHqayspKioiOzs7LAj5q7emM6Fq5PQCFI0phHgf56o5c6n6rCG6ReVmS6yQ1aHEi1v3ryZH1y9Dp1GSj9+9K/HOdA2BsBVG9Ko67dR1zeJIAisSjKxqzABu9tHcYqFl+sG+eDWLFxeka3ZoZNn1qRPGWT4/CJev0jnqIM3m4bZmB3HJ87K519He5hB4/hbkBkCSMVPg1Y3/ZPS68xNNKHXCnSMe5Vobdu2baSlpbEpVUeJxYlZB1pRerzT6+d49/gJxzbT++ZwkNHFoNWFxyfybFU/H7jvAAAN/ZPYXL4TRPYDW7K54/xCAErSLCSY9YzYpm4gthUk8OihLhItelqH7crzzAZdyN/oQ/cfZNuPXufpij5WJZsZmHQpxWfvKk2lc9TBucXJjDs83PzAEaUP+JpNGSRaQosQK7snuPb3+6nonuAn713HnZeWMGTz8r//7STRJHDnlRv57n4n3RNeDBpweSRzjPMLY9mVv7DRjHOxkuni5UAuolq3bl1IEVVrayvV1dUMDQ3R2dmJ3W6fe2MRYqZIdiXOuyqyTKWHg3tfBUFQ2lQyMzNDhGa+Kd6lIDsadXV1Lao1aLHIAw1GRkbIyclRLNwWy0IKjjo7O9m0aRNxcaHre8FCLQgC37q8hESzgUSznjGHl+IUM89VD/De+w5zaAYv3+DjuOe1Fs7/1UEeqLSzdu1aKTI06rhhazYgrWfe9kglrzUMc/m6VHQagWeqB5Rt/ODK1QiCtL7p8fkZd3g5I8vCfQeGqOieqvQtSbXwnSvWEGfUEWfUERNwtPjta5LN4O3nFXL9lizOKkokLTbqhA/jo4e7Qya/yGJW1S+JiV6roTDZQmNQIZjsd/uVq7bwnQ+dQ1K0EUNQsc6k00tnZyfR8wjM5BsNgLaAGHaPOakORMOHAiI8XWQB9raOUphs5ufXldE0YCPBrEevFViVYuFY1xjDNg8jNg/rMmKwGKTjM+o1SiS7v3WEwx3jTDi9bMyKpXnIrqwxi0BewADjjNx4PvbXozQOTCpZg1t25YUcyxOB/letRuCRj2/hyg0ZjDs83PrQMfx+kV2ZWm596Bh2d6C9yQ/ZiSaio3TcujXhhIk4SzVzeLulixeKXES1ceNGSkpKSEpKwufzUVtby+7du6mqqqK3t3fBRVQLQU0Xn0L4fD6sVmvIYHW/309LS4vSHjPdPSmSa59w4t2V0+lUHI0W2xq0GLxeLzU1NUxMTJCZmTkvJ6W5mCuSlY00ADZu3DgvQ4sEs57vXlHCiN3DpqxYGgftnJkfj04jcMtfK/j5Ky0nGPLLxzE6OorRLqV/n6638n/PNioR1k3bstBrBHQa0AoCn3+smt0to/zxhg185hzpwi2KIokWA+9ak4Ld42N9ZizPVvVz7foEki26EOvEKL2WD2zJ5sLSFFw+P1anD6NOw/HuCRr6JzHoNHz7ilKyE8zsKEg8YezcuMPL643DyvfFqdFER2mp7reH/KxxwMZMxJkNRAWdU48fHG4vXb39ys/CCYffL1ITEFMBaBm0KevLcpR4uGOcjLgoMuNDq8xH7W4OtI1ycWkqjx7qZnDSzXggFX5WYSI/eE6qrP7seYXU9lm5OOB1HBW4GXB4RT7+16MApEQbON49QXGKBafHj14rcH5JMtW9VvISTXzn2Tpqeibwi2DQCuQnmbj2d/v5b/UAHp+f7z1bz9eeqGFzThyP3XomazNicXv93PFoBR0jdjbmxPFEk5fy7DjFWeuytam0jzj4f+9ew+a1xWzdujXsOmRTU5Myym8hrEQku1KVtX6/H7PZTH5+PmeccQY7duwIGT23d+9e6urqGBwcjKgTlRrJngIEWyMGD1aXBU4QhBnXP5czXTw0NERFRQWFhYULcjRaKjabjaNHj5KYmEhpaSk6nS4iNxKziez4+DjHjh0jOzt7VkOLcNHwWasS+eCWTI51T3DNhjT2to4FTBLS+fPeLj7056MhY9lAWu9tbW3lhgvP4LpNUoT++LE+bn+0CpvLS2pMFFduSENEwOn1k2QxcOdTdTQP2TDqtSHHd+clxQhILSypMVH86dAgv7kimxvOPHGs30VrUnF6/CRZ9KTFSu+nu19uCnnM9sIEwoyA5eGDXcr/tRqBTdlxVAVVMq9Oi6Zn3BnWWhEkQwXvtA0b4tNIS89Qvg8WDtkzuHlwUpljq9dA85BdsS1clxGDKIoc7jhxPRbglfohfH6Rc0uSuW93G7kJJvxIBWsH28cYc3i4aE0KT1X04hfhjFwpc2HUS++V7701oTg5jTs8lGXF0jRoQ6cR8PhEbtiWw/7WUSn93TlOjFFHokWP2yfSNuzA7RM52D7CRx+Q/Idv3pHL/R8uJ9FiQBRFvv1MHftaR0mNMfJG4zBXFuoYtXvwi/C+8kxebRzi/JJk3lM2lcUJtw5psVjo7u5m7969HDlyhPb2dqWXfjZWYk12pdqGpkftGo2GhIQEioqKOPPMM9m6dStJSUmMjIws+eYlmHAiq7bwnETk3le73a70voI00UUWuNnWPyMtshqNBq/XqzhHlZeXEx8fH7Htz0Vvby81NTWUlpaSkZGhHFMkRDacQIqiSFdXF42NjZSVlc3pszzTsXzhggIKkky82jDEp87O5cW6IWxuL3e/t5TBSTcfuP8IfzvQjdvjoa6uDr/fr9w4fe2SYlKipYjsrZZRLv7NAdqG7dy8PRufX2R9RjQDk25K06P57nNN/GlvZ8hrSYuN4rySZHx+KdpqHnbxcnP4Aey7ViVi0mvIT7LQPuJgW0ECe1tGGHd4GHe4GbG52F4Q3sFqd9MwnUGew+W58bSOuLAFoi65EGmm3uF4kw6ra0qAkywG8hJNIUPdg4XDbDbT2dnJY68dAUAnwP/bpqdhYBJ/IOI/pyiRrjEnA1YXm8OI7Is1A2TFG6nqmWDQ6gZEEsx6NALU9FnRagQuXZuqeCHLVdBROi0/fbmNlnHptRm0AsnRUYiiiAjEmnSsy4zB6fbi9vnpn3CxKSeOcYeXMXvoHOXnqgdC1l91gUKv+95q57EjPUTpNEy6vPzhhk3YvNA4aGNNmoWOUQc6jcC3r1gzqygZDAYyMjJYv349O3fuZPXq1QiCQGNjY1hz/mBWIl28UinqudK2Op2OlJSUkPdgdHQ0PT097N27l8OHD9Pa2qoEQ/NlpsInNZI9Cci9rx6PR4lefT4fDQ0N9PX1zUvgIr0mK4oix44dIyoqig0bNiw5TTvfN6O8TiK3ykRHT7VnREpkp2/H5/NRU1PD5OTkvCuWZ1rXNem1bMuLZ8zp48H93XzqrBxeqB3i2epBHv1YOdsLEvjRi83cdP9+RGMcRqNRudBE6TTcddVqZVsTTi9X/v4Qld0TXLQmmbYRh3LRPbcokbtfaeVvFeMhr+W2wEzY6l4rqxKjePDoKCM29wnHadRrefDmM/jVB8qIM0kmFg6Pnx//t4Ezf/gGn/jrMQxagUTz1N89Sju1/ri/dUT5+eacOESgdlC6eMstNY0ziGycSc+4w6tU9k66vFLleJh5s7JwlJWVsWvzOtJiDGTE6IjReGgdsiuR7absWGWO7fRIdtIpeROfvzqF+95qZ21GDB2jTmwuL35Rqgq+dG0q//t0LSCNkDMHRHbU7uaxY33KtgRB4Naz8qjqsZJokYqnbtqeww+el9LN15VncLhjHJGpubgZcVGkxkhuWPL6q8yzlX387CUpg1CYbObxT55Jx4idlzuk8/Oesgz2t43y1YtLSIudv/+3IAhYLBZyc3MpLy9n586dIeb8wSlRee6wKrLhCS6i2rVrF6Wlpej1elpaWkLMReYqolLXZFeAYGtEQGkNkdOkZrOZ9evXz0vgIhnJDg4OYrfbyc/PJzc3d8l3WvMVR3nQeWxsrNIqs5jtzEVwW5HNZuPIkSMkJiayZs2aeX8IZjsnH9mejQDY3D7u39vF1RvSeLFuiB++0MzXz0nhw6U6msfhU//uYn9vaLSzLT+B96yfmn0qivD1pxuwuX1MunzsKJSKzUbsbq7ZmMY/q638encfflGU3LZy4vjUOfnkJJgYd/qwu/3c/XJz2OPckB1HcnQUH9yazf62UcqyYhUnoapeKzt/8mbImqwsggatEGJ+vyE7TooIB6T2nqx4I2aDdsZ12TiTnnGnB0PAeNnl9TPp9OIN/E1mat85pziZBIuBVenxjPslwZGFbKClhucPNmDRC6QYvCE3QK83DuHxieg0AgNWF1lxUQhI82uLAqPwWoftivNTUWo0rsBrvfvlppAh8j++Zi2/DMyizYg1khEbxQs1g/SMOylMNvPEcUmQU6INCEBugpFJl49zipP496e2szZjyijmraZhvvivKgCu2pDOIx/fytGucb73nNQT+4EzMrn3zVa2FyTwvjMWP2wApPdrcF+pnBIdHh7mwIEDSt3DfIetR4JTzRRivpjNZqWIKthcZHoRldsdenOriuxJxu/3h+197enpoaamhtWrV4e0jMxFJAqf/H4/DQ0N9Pb2Eh8fj8VimftJ82A+4jgwMEBVVRWrV68mKysr7OuOZCQrj+Grrq5mzZo1Sko6EmQnmLjvQ1JPpNsn8mRFP6XpFl6uH+YbzzRz++Vn8M+PbyY3wcjvKjx8/d+hrT5fvqiQmKjQD+OellEMWoEnj/XxjUuLqOyZJM6k45rSGJ6sGeP/PV2viNTnLyzirqvXMmT3sirJwD+PdJ8wNzaYD2/LQa/VEGvU0TshiZDMsE26CUix6JHPvNsn8s/D3cpjoqN0rEoyUh2oMBYEgZLUaOr7Z45kRVG6gZDpnXAq6eKZ2odEUWo3ykkw0T059T4w6TWce9ZOOhx61qdb6OnuUsbRdXZ28lxlL8kWPc9X97MxK5bXG4eVql+Hx0dqTJRSUGUxaClIsiiC2zxoxxtQ2cvXpVLTN8mo3cMZuXFU91o5Iy+el+sGuXx9Km3Ddnx+kU/symVw0o0gwO3nF2J1etlRmIgm6IV1jTr43D8qEUX46sXF/OjadexvHeXOJ2qIM+kw66B9xIHfL/K9K0sjnlKUU6Jr1qxhx44dFBQUoNfraW9vZ/fu3coov+VscTkdTCGCzUWmF1EdPXo0JGMgZyrDbeNkc9qLrNvtpq+vj6qqKjQajWKNWFNTw/j4OJs3b55z4Pd0lhrJyoMFTCaTMg81UpHxbDcAsrD39/fPOeg8kpFsf3+/koqf61xPurxhDe9nY1tBAh/bMVVwVNdnw6QTONzv5av/biQzzsiDH9nEFYVanqka4P33H1FSn0kWA1+8sDBke0a9gNsnMurwsrt5lPeXp/OXfd1sSDNy8+Yk/l05wAP7pgqStuYncNmaBFpG3MQZdXz32Tpl/XI6ydFRXL0xgwNto2TERYW018i6oPQHB37+i1daQsbqrU83Uz/kUtp7ilMtNAyEL7iJD5j/B1sh9o5Piawww0TZUbsHm8tHToKJrkm/MoEoM87IqN1N85Cd0qyEkHF0dpeHVxuGWRXjIwovdpcbt08kNcZASrSB7sA6rj6wMafHR16SidqA6CZbDOi1AgYtfPFdRfxxdzv6wLpsdJSWL164ijPz43m2agC/CJ89r4D9gTajOy5YRf+EFM1sL5hqd7M6vdz28DE0AvzlI5u5ZVceRzrHueMfFWTHGxl3eClL1rK7eYTPX1hETmJor/NyoNPpiI2NDRm27vf7Q6Kzvr6+E6KzpfB2SRcvhOAiqm3btoVkDLq6umhqajqhiEoV2QgiFzfZbDZFeARBYGJigiNHjpCUlERpaemi3gBLEVk5igweLBBpz+FwxyY7KZlMpnmlxSPhHuVyuejo6ECr1c57uPr7/niEmx48zkcePMaxrvmL7efOz6c4WUpriqAYub/WOMId/6hCFOGaIgMPfmQTN56ZhUk/9Xe/qixF8Q/WCOD0iOQlSBHmf6oG6Bp3sSrZzN17h7mkJJafXrOGd+XqGBoaUs71p3dlYtJrSDAbON41wZPHe2c81o/uzMXrF8lPsoSYMfhFMBs0DAT8grUaae0wSieERJzr0804vaISvZakRTNm9zAcZj1YtjvMSzIrQtk77lREe6brrlxslZMoRbLJgSKx1ekxyk3QX/Z10jwwqXjdPtfuwyvCsSGR8tx4GoecGDQwZnPj90lOTFnxRjw+kU3ZsfhEyE8ykxCYjztkcyOKcHauia8/WYPPL3LLzjxeqhvknKJkbvjzYQ53jKPXCpSmR1PZM0FVzwR5iSZuOzufvS0jlKRFkxwt/e08Pj+f/0cFrUN2fvWBDewoTKSuz8ptDx0jPdbI+qxYYqJ0VA35KM+J48PbTqwMjzSPHOiiqscaYrQi+wQHR2eyhevevXupr69neHh4STfip6PITic4Y5CWlkZJSUlIBXhFRcVJOY7pnLYie9ddd/Hoo4+i1WrR6/V4vV46OjpobGxk/fr1pKcv3ux7MYVPPp+P+vp6+vv72bx5c8hggUiu8YYT7KGhIcVJab4TgxZqhzgdebh6WloacXFx876DPK9YmkpzpHOCDz9wnBv/cpSX64bmHAbQ29vLHWVgDBgWTDi9rEo2IwC7W8f4yIPH8PhENmbFcsPWrJDnfuHxOiYCKWRZfNtHXWzKlqLuPS2jDEy6cXj8/ODVXtK9/dis4wwODrJ//34OHTqExzrCDesl0cxNNPHTF5tmdKAqTLZw4eoUqnsmMOm1WILS1VFaDbkBowVpek0cPeMuxdgfYEOGFG3JQ9zl4qeGMCljWWTltVcB6Bl3Kmu+mhn+LrLI5iaY6JkUlR7WssxYDrVNOUGtCuy7edDGH96Sxth5fSJPVg0jAOevTsHth2GHH70GbHbpdZyTK90Q5SWaldFGsUYtXr9IcYKOA21jpMdGYXd58ftFnqvuR6/VUJJqQa8VaOif5LWGYWKMOh75+FbcXj+HO8bYEYhiRVHku8/W81bzCN++Yg07ChPpHLHz8b8exajXkBYTxX8q+7G6vDh98L0rS2dcn14qoijyRuMQ7/rFbr71TB1ffLptRsGTo7Pi4mIlOktISKC/v18Z5beYua9v1zXZxeLz+TAajUoF+K5du1izJnL+0wvhtBVZi8WC3W5XqocnJydxu91Km8JSWGjkKRcZWSwW1q9fv2xFRtO3JbtGyQPlpzspzbWdxQh/8LzZjRs3EhMTs6DX9pV3FXJO0VQ7S8OAjc//q4av73bx6OEeJc0rI4/jGh0d5extZ/Dr90t+vnqNQPOQnc25cSRZ9FT1TvK1t5xho70fXrVGGUtnc/s4qyAegGNdVu44L584kw6by4vHD5X9Tv7TBqWlpZSWlio2clqtls3xTlbFaRi2Svv55cuNM77Oj+3KY8LpZW1GNI7A8HEBGHV4+fUHytiYLd2EHeyQBO2V+ilf5NRoA8lmLUcCEaU8Kq4hTPGTLLIaARAEYozSYAN57XMmXekMtNfEm/UMOqQWmtL0GN5/RpZikJEQ2Pa4w8OnHj6mRMc+Ec7Mj0dEmvAj7+KWXfmMuaEo2aR4EPc3V7G3XlpzNum1lKaZeaRaeh1fvHAVDx3sQgSuLc/k2k2Z1PZN4vNPDTj41Qc2kGgxcKRzHJfXz45C6b3z5z0dPHqom1vPyue6zVkMWl189MGjOD1+BAT2B90oXLlKT9G0wQeRwOcXeb66n6vv3c8n/naMjlEHAvClc9LnLTw6nY7U1KlRfnIWqrW1Vam2nT4cIhzvhEh2rv0aDAY1XRxJYmJisFqtNDc3U1FRgV6vX9CIttlYyLikvr4+qqurZy2uimRLkCyy8lCBxbpGLSaS9Xg8VFZWKvNmn64Z5lDX3M35wQiCwA+uXE1ajIEEkw6nR0pV6gX43vNNXPzr/fz29TaGbW6cTmfIMAGtVsv2ggSuPyMDj18kK97I4Y5xipLNbM+PZ9QFF//mAG80DYfsMzpKxy+uW6t8/1brmBLF/uGtDn56TSklKUa2BbwJHqkc5eGDU8VIJpOJlJQU0tPS+NkHt+D0iqRbBP56oJt/vPAWjY2NJzTXb86Npzwnjs5Rh1LkJJ+l7z/XwO9v2ARA16iTJIuel+umDR9INSqRbFK0gSSLIWwbjzyQXUS6AdqQHcft5xUqIptkCf++6Bi1kxJjoCcQQQ/b3JRlxaLTCorJx6bcOHx+kS8+VkVX4HFpMVKqdszuYV1mDJXdE2g1Amfmx/Nm4Lx/4/I13H7JBp69fQfn7dxG9ZAHAXhPPsTiZMzlZ1WSkf/9dy1+Eb500So+siOX37zWjF4rKAJ9/ZYspb94X8sIWo3A1rwEXqod4McvNnLpulS+cOEqJhwebnnwCP0TThweHwNWqf3pkrWpPPCRct5dGDnzfwC318+/jvbw7t/u5XP/qFQqv/UaePhjWzivMHbRF/tgy0K52jZ47nBNTQ39/f14PKGV9H6/f0XEbqX2q1YXnwSMRiOvv/46X/jCF9i4ceNJn8ggl5kPDw/PWfAT6RF14+PjylCBxbpGLTS6lteQ0tPTKSoqwifCd55r4n+e6eC2p/v4T1X/CVaHMxFn0nPXVWsYc3jZtSoBRBiwi3xiVw6bsuP43VsdXPzr/Xz5kcPoE7NCUuAff6iC7flx5Caa6B5zcvP2bA52SFHOxXla3F4/n3m0mv97pkGx0QM4tziJy9dNjfE71mUlJVqP0+vnzidruGODlv/3rjy+e1E6Wo3A959v5Mf/bVCKj+Re3tKMWG7ankufTRKxnxz2oDealXUhuQrX4XDw8bPyGLC6yQnYEgpI/buH28cw6TVsyJLeM8M2D/vbRhl3SBfOUbuHtSlR9E24FBEsTrWETRfHGiUBEUURvygVG8HUGLeilPARXFegsrgxIKh2t4/SoPVYgAtWp/DTFxt5q2mY1QFTDLntqWHAxpVl6YhIQxfeW55Jda+VtJgodq5KwqDTsCrFwqNHerG5/ViitNz27h0cHPAjAM3DTvx+keIELRdma7j978ekCDZwc5Bo1vP/Lp/qc97bOsKGrFjaRux86V9VbMiK5UfXrMPl9fPxvx2lcdCG2ycqbVLpsVH84Kq1bM2LP2HUn9Xp5cN/Psy3/1Mb9tzMhMPt46/7Orj4V7v5+pM1QcsFIia9hr/dspXNufH4/X6O9TrY9ZM32NcyPOs2Z0OutpXnDm/fvp20tDTGx8c5fPgw+/btU0bQeTyeFYtk1Sk8pyFtbW3cddddiKLIE088MeNouOVCLimfqQd1OpFakxVFkYmJCfr7+9m4ceOShgosRGR7enqor69n/fr1pKZKfad6rYbPnC35/fbZfNz5VD3n/3IfP3+lJcTBaCa25sVz61m5vNU8yifPyqEgXsN9uztJjTHwm3dnsjNTy94+Pzc+3MAd/6zmSOc4r9QNsr9tjM//q470GAMZsQaerRrgm5cXU9ljpX7Ez5culAwk/nWsj2v+cIiD7WPKPr9+SZFijAAwOOlBr4Ehu4/767VotDq2ZJn5y40b0Ahw/54OPnj/IVqHbAiCwIFOO4fbR7n9/MKgtWEfn3y8jazCEqUKVx4ibhxuJCtGh8MjXYxFpCjIJ8K+1jFu3JYLQHSUFlGEn7/UxMbvvsJ7H6wnM0Z6Tx3tlI6/ODWapkHbCVXNBp0Gs0GL7D3hCNxYyGIVpQ9/CegcdZCbYKaxf1IpmFqbEcNTQQVd43YPf9rTwYe2ZtM6bEcAzi6S3Lu0GrhqUwbRUVoKks08WyV5Jd9+foHyfKvTy71vtJIabSA6Ssctfz2i9Mnedk4+152RxR0XFvOLt/roGHWi00z16t5z/XrFxcnq9FLZPUFZZiy3PXyMJIuBez64Ea1G4JYHj3C8awJEpFYtURLau99XRrRRF2I36Pb6eWBvO9t+9DoH2kZPGNAwExMOD797o5ULfvEW33uugeToKAqTzQxNurEYtBj1Wv78kc2sy4zhP5V93PJYK195rouhSTc/n6GvejFoNBqSkpIoKSlh+/btSudEb28vDQ0N9PT00NbWtmD3pKXwTktTh+O0E9nHHnuMa665hk9/+tPk5uYqJ3o53lQzzSetqalhzZo1M/agTicSa7Ky0b4gCOTm5i75xmI+xyRH66Ojo2HXuj95dh6/umYV+sApsDq9/GVfF5ffc5Db/l7Jy/VDStoyHLedncem7Fh++VobN5fquOnMTP5xpJdvvdzLV96zkf/evo1bz8rlSOc4H3nwOPfv7aI4RTqGA+3jDFjdDNncPFM1wN3vXUuPTeTJ4/189V2rAClCvOVvFfzwhSYcHh9xJj3fuHSVsn+dIBnqC8Dhzgl+f2BIMaH41rtLAKjvn+Ta3x/g1aZRfrB7lBv+dJg/7W7n8vVTvrdtIw6u/+MhusacSiXpli1b2LF9OzduyWDINlUgJSL1oj52uJuL1qSgFSRh1GsEHjnUjTMgwn+vHMek1ygp49Vp0djdPn77Wgurv/USZd95WdlmvEmv9PXKa9ryeZdNKoJxe/30TbikSHZgkmg9CIJUxbwnYKChAX71agvbChJ4V2kKDo+folQLGYG+341ZcXSPOTneNcE1G9N5s2kYi0HLdeVTRWd/fKuNMbuHOy8tkaqFu61oBPjBhcl84cIivn1FKSNOeKHJSpROQ6Cdlp05Jly9jYrP7StVnfhFeLVhCIfbx+9v2ESCSc/1fzzIkc5xoqO0JEcb8PpFPH7JqUu2g/T7/SAI/Keyj4t+sZsfPD81MOLu68oUIQ/H0KSLn73YxPl3v8XdLzezPjOWz5xbQOuQjb4Jp1SRLcDP37ee/a2jXHD3W3zpsSo6x6WMxLnFSTzysa0zbn+pBLsnFRUVkZ6ejlarpbm5md27d1NRUUF3dzdOp3PujS2BlRrrF26/6prsEvH7/VRVVfHqq6+yfft2bLapQpBIFhfBiS0usl2gLDjBFoVzsdRIdmxsjGPHjpGTk0NycnJEbijmOl9yS5AcrYe7a3R7fWzNjeMH58eTZNGj1QiIIiRb9NT2TfL5x2q45Df7ufeNdvonTvR41WkEfnjVGgTgj1UezoodISNGz7BT5N33Hubpyj5uPzefF27fxjcuKWLU4aFx0I5GkN7YPlE2pR/n74d7uH2jZADx0MFu/ueiQtxeP6nRBh462MN19x3maOc4V25IJ9kiRYleETJjozAEotKnasf5b6NkNPHeTRm8e30aHp+f67dkszVHKlQSgd++3sreICtEkCp6r//jQap7powqtFotN+wqUnpZAUw6AUH080r9IIePV7E2zYRPlGbJBl8eagddxJsNSvGTXGEsi6nbJypiEWfSKal62fhBEVndiZeArjEHoiiNe2sYsKERBAqSzETpNIwFUtYajUBqbBS/fH8Zjx/rkc5JeaZSfLUhK5aHDnRiNmhpG3HgFyUjDtkkon/CyV/2dfCesjQy44282iClTX9yRQFrU6X0+RsNQ/zff+rQagRkrTNoNfzqxm1s375d+Zy9UtODgJTi/t/z08m0CHzuH5VU9VjJSTCRYDYw6fai0QhsyIrl0+dORdN7W0b43zcn+dJjVfRbp96D5dmxXLIu/JjHrlEH33mmjgvu3s19u9s4uyiZh245g0Szgd++3iq1JZkNTDq9nJmXwB2PVnL3y81Kuh/gurIkfn/DphDTjOXE7/djNBrJyclh06ZN7Nq1i7y8PFwuV8RH+amEsuwiKwjCnwRBGBAEoSrc70VR5I477qCoqIgNGzZw5MgR5XfPP/88q1evpqioiB/+8Idz7kuj0fB///d/xMfHExsbGyKykTb1D15HnZyc5MiRI8THxysTbBbCYm8ARFGkvb2dlpYWNmzYQFJS0rJ5DgcjtwSVlJTMGK2LosiFv9rPhfcc43Cfi3uvX09OghGdJmD0YPdwXnEihUlm7nmznUt+s5/PP1bNnpbRkHadrHgjXzg7nZYJkTdHY/nZdevQCJKY/fyVNi777QFahmxcvyWTp2/byt3vXUteojT1RT4qs17DnpZR/lTt5ZYd2Yw5PDywv4svXFDAkM1NcYoZj1/kIw8e5/89fpQrCqSPhU4DPRMuzlmVwO2BUXe/3jfMsa5xBEHgO1eUkp1g4tmqPvwIZMVosRi0xBl1yKdOPgaP149GgBv/fFgpAAJpHJ7sr6sVwOkVsXulG4RKq5HLiyXx7BkeJ/jWqTjJQO+4k9peK5MuL0Up0pqoK2jdu75PMnmIM0lrywBO77R0se7EmyM5nZ9k1jNgdeH0iazNiKFxYFLZ/tlFSdz7wY3Em/S8Wj8EwHvK0nmtQSrQijbqeKayn8vXp/Gfyn50GiFE3H7zWis+v8jnL1jFoUDKfltBAjvy45X30w/+24AIFCSZlFmvn7+wkJhAT7PBYCAtLY29PR5E4OsXF7A508wPnjrKi3WDbE6PQiN6GbQ6KUyy4PeL/OS969FrNdT2WrnlwSPc+vcqOidC3+cGnYbffHDjCeelaWCSrz5ezcW/2sM/DndzxYZ0nrt9B7fszOVrT9Tw74pePrI9mwGri95xJ06vnz0tI2QF1ty1gbTp2pQo7jg7M+znxucXebGm/4SfL5XpaVtBEIiLi6OwsHDWUX5jY2MRDU5WipWawAMnJ5L9C3DpTL987rnnaGxspLGxkT/84Q986lOfAqTI8DOf+QzPPfccNTU1/P3vf6empmbeO42OjlZ8imF5RNbr9dLT00NtbS1r164lMzP8B2cuFlNdLFfyut1uNm3ahNFoVLa1nNNzmpublUlBwb2+Jxyfz49fBLvHzyM1Dq7/01EyYo1kxkUx4fRSnhPLa40jdIw6+Pa7i7lpezZHOif45N8rueLeg/xlXyfDky6am5tZbbJxdpaWvx0ewO728Y+PbVbSnF1jTj7452Pc/mgVbcN2LlqTzL9v28oFJUmKKNk9kmPRhBt+83o7GbFRODw+/rKvi8+dn0/LkJ0Ui55zcgw8WWul3R2NWa9B1qsX64el0W0FMfhF+PQjVfSOO4k26vjF+8oYtrn5zn9bKU6UovVJl5fynDhMeo1yDCKQFWckN9HEbQ8d4/GjPcq5unqTJLIxJp2SLo4z6fhPzQgfPGcdWo1Ar02qTgVIMYLf4yY7Vo+INPUm2qgjK95Iz/hU6u/VQNtPnEmvFDy55EjWN3O6WG7fcXmlxzi8UvuOPBQApKKnkjTJEGLS5aMgyYxWI/Bm4zDRUVpq+yRBNhukYrPL16cRFVjvbh608diRbq7fkk1StIFfvNKMViPwq/eXKe+5NxqHaB2yU54dQ9OgZNiRFhPFhwPr1DL3vN7KuMPL1rx4btq1irf6NTxW7+TydalYvQK9Vi87MrRU91r52OZ4bNYJvvyvSq753X72tYwofxtAKYr638tKFEMLkMYZ3v7Icd792338t6afG8/M5qXP7eI7V5Ty35oBPnj/ITw+P9eWZ/LQgW4GrG7izXqu3ZRBrFFHy5CdWKNOKbSrHXSFLJP4/SKH2sf4+pPVbPzeK9z+aCV/29d5wt9lKcy1RjnTKL+urq6QUX42m21FBWupnJbpYlEU3wBGZvr9U089xU033YQgCGzfvp2xsTF6e3s5cOAARUVFFBYWYjAYuP7663nqqafmvd+YmJhlFVlBEGhoaFCsGZfiPbzQ6uKJiQmOHj1KRkYGxcXFIXeokXqd09+MbrebY8eOodFo5jUpyKDT8urntnNmniTEfhEOtI/RMepEqxE40jnBrsIEDFqBbz3TSN+4i0c+Ws4Pr1pDcrSBn73cykW/3s/d+0bxxudy0zoTuYlG7nyqntSYKO6/cSMG7ZQp4OtNI1xz32G+8XQ9XWMO7rpqDdnxRhLMemKitPjEqfXOgUk3VqcPm9vLH97q5BM7MqnqnWTQpeEX163ltrPzuaIsjTiTjs3ZMZSkWrj3rQ7Ks8zkx+uxunx84qHjONw+1mXG8tWLi3mrZYzKARcTTi83nJnD8zUD5CWZyU8yKzaCR7smuH5LFlvzE5SqYJhqoxm3S2m69DgjE04vLUN2avsm2ZoXj9cvKiYVG7LjaLXCl8+W0pk/eLaGoxXV5MXraQmaobs7ICLxJr1ygXcHCnk8gffbTJGsSa9hwDp1jDkJRiXiBFiTIUXY/zwktTJdW57Jfyr78Inwt49uoaF/kjNy43jqeC8CcOelxcpzf/5SEyaDlk+fW8AX/lmJxyfyybPziTdL814n3X6+/lQNOQkmjndPjQ/88sVFIentV+sH+XVggMDXLinhmco+vvtsPecUJ9E15qBt1MV3rizlrR4fZ61KYMAh8P4HqvhPRb/Uw6ufctJKCHg8b8qO4/1nTK0bH2gb5X1/OMi+1lGu2JDOK184i69fthoRuPmBw9z9cjPZCSbGHV4eO9KDXxS59aw8dhUm8vixXuxu6W8qm51oBPjyzgSi9Doqusf54fMNnHf3W9zwp0P862gvHp+I2aBlS978e9rnw0ILkGYa5VdfX6+M8gtnzB/MSg6KP1XWY+EUWJPt7u4mJ2fKziw7O5vu7u4Zfz5fjEZjyCzHSIqs1WplbGyM2NjYRVszBjPfYxNFkc7OThoaGigrKyMlJeWEx0R67Rmmhqvn5ubOOmd3Ogadhl9fV8rZ2VJ6T47E0mMNaDUCu1tG6be6Kc+J5cW6Qd53/xHcXj+/uqqAb+8w8J7SRA71uPjIXyv4zl475xclMObw8M3/1LMxK4Zfvk+K8syGwFg4EZ6tGuCKew/x81da+PJFhYzaPVhdPsyBnTs8fqxOLx/bmY2AgM3t4769PdywOZWGIRd/2ttJdryRr11SxJtf2MEDHynnkVvK2VmYwK929/Pe0hjiTTpahx188bFKRFHkxm05CMCwQ7qorMuMYV1GDG1DdnrGndwblHr89n/quXB1Mp86Jz/kPAEgSA5Lw5OSvaBeK/DYkR5uDNj92QIp0/QYPX4RDLFJZMUbsXsFbLpYMszQMmRXPtSTTjeiKBJn0mMLzJT1+KQJQlPp4jCRbKB9p3nQpkS6d/yjihcCaUwByQBDFEVeqJWi5as2pvPksV7WZcTQb3XROepgbUYs4w4v2woSSLRIkeHhjjFeqhvkE7vy6R138lrDMIkWPXecP+Uf/buDo4zaPDg8PvyidGNUmh7Ne9ZPubTV9E7wxceqiDPpiDfpGbK5+Mrj1WzKjmPS6aWmd5JfvL+My9alcfHaVI51TfDPimFAQCvAWYXxWN1SW1NJHIw6PGg18P0rS0Le32WZMVxcmoLd5eXpij6GJ108X93Hu3+zh8PtYwiB86XRSO1Xnzwnn4cOdPF0pXSu5DQ3SMsWP7p2HS2jHt7/YA3v+8NBHtzfyUTQWm1xqoWXP7+LNRkzZ4kWw1KqfINH+W3evJkdO3aQk5MTYsxfX18fYjO61H0uhVOpshhOAZENd7cz0/zQhdyJTDdTiITIiqJId3c39fX1JCYmRmyw+nyE0ev1UlVVhd1uZ/PmzTPOYY2kyPr9fjo7O2lqalLWfBeKQaflY+uj+Mi2bBxekaIUM/0TLvQaWJVswuHxc7RzAq9f6t385jMN3PzXCtatWc13r17PK5/bzrcuL0YrCPzlQC+Ikh/xvW+2c9aqRH5w5Wocbj85CVK63OuXDOkfO9rHV5+sY1WyVG1s90ydE78IGbFR/P6KdHZl6dBoBB45OsBHt2dT0zvJbX+vxOH2Ke83vVbDz64tpTDRyG8PjnLnxavQaQReqR/it6+1IAgCX7koT9n+/bvbuevqtXj9fs7Mi2dnYSJXbJCiThH43nMNfOSBI7QMSVGnIVDVU5omCdSE00tRipR+fbaqny258ei1glKYM+HyYdQJ7G4e5pziZAw6gR1rstlemotPBGPghmJwwsnu3buxjw0S3KLs8vqVdLHRED6SzU6Qip5Meq2SLZC38ccPl2PUS+P1xhweshNMjNo9VPdauWZTBg8d6CQlxqC4VMn9rKIo8tMXG0mJMfCRHbl89hHJS/bn712vnOsXG0Z5o91OcYpFaYFxePx8+V3FIUVTn3zoOLFGLQadhtVp0Xz+H5WsSpEsF491jfOT967nojWp3PdWG89U9rMlL4GHP7aFbQXx7FyVyFstY2gE+PiOTBoCrb83bIhnqLWW/fv3U1lbz+9ekYqbXqgdxCdKN4fffLqWz/2jCpvbT3SUjpu255AVF4XX6yfOpOPe19uwuX2kRRuU2gGtAGaDlkSLgf/5VzVP1E2SZNZTlGLB5xeJDrhibc2L55GPbSVxBoOQpRBJwdNoNMTHx4cY8ycmJio2owcPHqSlpYXR0VFVZDkFRDY7O5vOzqn1h66uLjIzM2f8+UKRhXapIuv1eqmursZqtVJeXo7RaIyYmM11bFarlSNHjpCamsrq1atnfeNGSmS9Xi8ulwu73a683sUgXzy/dGEBnzsvn6ZBO5tz4tiaF0/zkIPEgDl8ZlwUKWbpsU3jIu/7cyVffrwGr9/PdeUZ/OC8WP70wTVcvi4FjQB/3NNJff8kl61L5RuXFtE56mRbfhxROoGecRfxJj07CxNoHrKHVO/KgvG955vZ12njnpu289ynz6QkLZo/7+vixq2Z1PRNcuvDlUqKDyRXqLsuyyHGoOEnL7Vy58VSq8+vX2vlpdoBPrA5kwyLtPWGARt/2dvBZ89bxVvNIzxXM8Cdl6zGHBA0Aajts3LVvfu59/VWZR+bc+Nwef2kRBuwu/04PX4cHh8v1Q1yZn6CMq6uotfO+tQodjePsDk3DrvbT+PApGKvaArsZ9KDVEWaEZrxqKqtxx2oIP3pC028VDug/E4URdqGJjHrNTQMTOLw+EIKrjLijJxVJN1s/fOIlFm6OhDF6rUCm3LieLNpmHOLkugec1KcYlEsC1+uH+RIxzifPa+Qxw530z3u5IzcOHaskrbXP+Hk5693kxGtpTZgrKHRCOwoTGTXKsnZyebyctvDx7G5vfzy/RtYnRZDRfc4KTFRJFkMHGwf466r1yotVDdtz+WBj5Rz845cfvVKM7ubR3mjaQS9Bv5wwyYeOzaAVoCSVAtfuXIzZeVbOO5K5hNP9XD3612M2KUoM86oYcDq5kjnBIlmPd+5Yg1//9gWnqnqp3PUicsnMmB1U5JqYWNWLP2Tbvyi9Lf2iVIbVma8ka9eUswF+Saq+2z0W11ctCaFwUk3ZxUlcd+N5UQbl8dAYTmjStmYX7YZLSsrIyoqis7OTiULNp9B65HC6/WeMmPu4BQQ2SuvvJIHH3wQURTZt28fcXFxZGRksHXrVhobG2ltbcXtdvPII49w5ZVXznu7060PdTrdokvTZZGTJzxotdplN/WH0Mh53bp1pKWFbymYz7YWgpwG0ul0c4r6fI9HEAQ+viuX/3dpEQfbx7F7/Pz0mlKiA4LQO+7C4xe470NlfGhLJlE6Df+tHeKsn+/l049UUj3sY3WKme9duYanb9tCnFHPV56sw+Hx8YEzMrn93Dz2t41z+bo0ChJNDNvcvNk0wpcvLOCe68uUtTcRCGSXuffQOF94vJZYk44/3rCBDVkxPHigm/dtzqCuf5JbH64IabtIiTbwzXOTcPn8/O1gD5/YJRXhfP6flTQP2fni9ql1tMeP9VLRPU5ZVgzfeaYOnyjy1YuLlWNYnxnLBauT+cUrzVx//0FuPTuf952Rxc7CRBxeHz3jTuKMOkx6Lf862sNN26cKftpHXaxKNNA2bCczTrr5OdwxRmGyBa1GUHyY5Tae9MTQ1KMpOg53wADD4xdp7e5TCloGJ124fdL0oTG7B7dPJHjcrix2gGIwceWGdP5d0cf5Jck8W9WPVhCoCoyvu/NSqZ/Y6/PzsxebKEg28+71afzkxSa0AvzmeimVLooiX3+qFrfXz5Bd+lx94cJCfvbe9XztkmLJg9wv8qV/VVHXZ+Xu95WRFB1FXb+V6CgduQkm9rSM8O33rOHqTdLNuNsrtUL94PlGbn7gCHtbJb9iAfjvHTvJSzKjQcpsfOOy1dy/u50LfrGbn73cesJ7ftwpFc99oETHN8+K5dXqHt59zz6GJt2ISA5S79ucQcuwneNB84QNOg2fPa+AV794FpevT+f3b7bxcquDq8pS+MAZWbxUN8gla1O554MblZuj5eBk2hsajUaysrIoKSkhOTn5hEHr1dXV9PX1nWD9GCl8Pt8p4/YEJ6eF5+/AXmC1IAhdgiB8TBCE2wRBuA3g8ssvp7CwkKKiIj7xiU9wzz33AJIo/uY3v+GSSy6htLSU97///axbt25B+9ZoNIqwLkYURVGkq6tLcTMKFrlIimy4bclvyomJCaXSb7HbWgj9/f3U1NQsqhUpHNPvHt9/RiY/unoNx7smuH9PJz99Ty7XFunQaQR6rF4+/1gNV25IY/9XdnHHuflE6TS82TzK93dPcNX9lfz85RacXpHvX7maliE7P3lRKny5dVcuN27N4onjfVy2LoVrN6bh9Yv89OVW/nW0l1t35VIQK8gHRVRgrfGV+mHO/8U+Xqob4p7r17O9IIG/H+rh6g1pNAzY+MTDlYrQCoJAdqyOX163lq4xB0c6x7lwdbJUuPNIDfFRAtvy45XXOuH0ctfV63B6/Hzz37W8b3MmawMFQ/taR7l+Sxb3fHAjE04vf93XQVpsFB8/K49Jp09JLzo8Po52jpMeG4VeM/WBlefBtgzaSIkxcKRjHINOQ36SmaDCVZoGbYp/sUx0XAJa3VThWrJZpxS0/OnF4yf8DYMvEtsCU27ah+0MTbpJj42iecjOsM3Nu9en86+jPexclUBd3ySpMQZ2BaLeJ4710jJk50sXFXHnk7W4fX5u3pmnpEb/frCbt5qGiTVq8fhhS148t55VwLklyaxJl+wlf/TfBl6tH+J/L1vNuowYbnnwCC6Pn9L0GN5qHuEbl5XwgS3ZjNjc3PN6Cxfc/RZfe6IGm8sb0mP8m+vLyEowMzjpZsThpShRz2cfreDul5spTDaTFmNgxBYqADsLE3n8U9s4OGLg8y8M82rLBGIgUl2XamDC4eGfR3rx+kQEpJ8XpVh47YtncWZBIrc9fIz/+08dxSkW7jovDpNBxx93t3Ptpgx+ft36sP3KkcTn8530SE4Wu+mD1jMyMpTAZd++fTQ0NDA8PByxzOBM6eLTNpIVRfGDoihmiKKoF0UxWxTF+0VR/J0oir8D6YX/9re/pbm5mcrKSrZs2aI89/LLL6ehoYHm5ma+8Y1vLHjf0dHRSq/sQsXH4/FQVVWFzWYL62YUSZGdvgZts9lC+m4Xcge62EhWHug+MDCgNPnPtDa+VC5bl8ov37eWliEbdzzeyC0XrOfZz2xlZ2ECNrePD/7pKPfv7uTju3J47XPb+cAZUovLhNPLA/u7+Ohfj7M1L46P7sjmn0d7ealuCEEQ+J93FXJFWSr3vNnBuswYfnzNGvQagX8d6+OZim4+vkbkmrJk3D6RaKMODVCYaMTm9vH//tNAfb+NX79vHReuTuKxY31cujaFxoFJPv5QBWN2j3I+tubF84Mr13C4YxyNRqAoxcyI3cNdeyb40ruKlNd5rHOclGgDX7xwFa82DPFURR8/uGqdcsG/84kazi1O4tnP7ODX128kwWxgZ2EipenRGHQa2gKzZgUBnjzWy86iJPxAikVHw5CL1Jgo9rSMsjknXrFXLEmNDvFk3t86qkzikSNcp9cfMgS+tCBHKWjZ03titscR9DY/M08S2ccCqeL3lKXzxNEekiwGxp0exh1erE7pCbcHipkcbh+/erWF8pw4chNMvFA7QLxJx/8EzlXbsJ0fv9BAdoKRQZsXs17gl+8vCzFqeOhAJw/s6+Sm7TlcsSGdj/31KINWF+U5cbzRNMyXLipi16okvvl0Lef9/C1++UoLa9Jj+OiOXLrGnIiB139GbhwXrpGsP1+rH0KngcYRD1vz4vn4rjwquydw+UTJ0EQAgxa+fmkxZxUlcvOfj9AyNJXyjNJJLVrVA9IYRJ1GejzAxqwYfnbdOr79TB0f/vNhJhxefvH+Mv7ykc38t9XJQ4d6+fC2HL5/1dpZXaUixUoY9YcTO41GQ2JiojLK74wzziAuLo7+/n727dvHoUOHaG1tXZL1Y7j9nu59sitGcK/sQkRRbpFJS0tj9erVYd+ckZycE3yH1dfXp0SSi1mDXozIytNsjEZjyCi+5ahUBmnNJMHRwzfPScTm1fCxv9dgd/v5/QfL+PHVa9BpBX71ehvvv/8I/VY3/3tpMT84P5Gc+Cj8IhSnmBmze/jsufmsz4jhm8800DvuRCMIfPvdJVy5IY3StGguW5vKPz+2iSSTQOeEj+8chvOLEzl7VSJjdg+r06NpGXFSlilFl394qwO3z89Pr13LFWWpPF05wAUlyTQP2vj4QxWMO33Kh/Wydal85eJiXqwd5IzcBOKMOlrGfDxysAtL4Err8Yt88P5DfHhbDlvy4vn+c/XEm/XcuC0bgN4JFz98voFoo46zAxGfIAjcsisvIOqQk2BCpxF48ngvN2zNVs5hzZCbrXnx7G0ZYVOOZGHYP+GkONWCLUhkD7aPEh8QWX1AtFweX4jIypHugNVNw4DUI6sRAgMLgt760XrwWodwOp38p7IPgIvXpvJqwxBXbEjn0UPdFCaZON41jsWg5X0BC8UH93UwYHXx5XcVc/ujUrHTjwPFTl6fn689UY1GEOgalVqGvnFeWkif6uuNQ3zv2XrOX53M5y9Yxaf+fpzmARvbChJ5vXGYqzemc7hjjMt/s5cnjvVy5YZ0/vOZ7azPjOHPe6UZtyWpFrx+kS9cWKR83rx+P2cXxnPXhckYdFr+uLud1WnRWB1efCLkJpq4fH0Gv3ilhR+/0MSwPTS6lc/hltw4Yow6jHotbh9syjCRa3Jz3e8P8ErdALdsTeXft23hwtUp/M/j1bza7uITO3P4xmUlJ9Xx6WQXIc1nn3q9nrS0NGWU37p169Dr9Yr14/Hjx+nq6lqQ9eM7LpJdSRYqsqIoKoPdy8rKFLP7cERyco6877q6OoaGhhZsyxjMQoVxZGSEiooKVq1aRW5ubsgbcTlEVl7vxRzPxjUF/PnDG/H6RW7+63Gqe61cti6V/96+jYzYKOr6bVzzh0P8/OUWcuN03HddEZ87L5/KHitX/f4QTxzv44dXr2ZtejS+gPjptRq+f8VqyrIkx6+R9jr+en0xF61OwuWDOx5voCjFRHGqhbZhO5eUplDZM8nqVAv7Wke5+cHjDE+6+d4Vq3n/5gxeqBtiZ2EircN2Pv9UC2POqffQLTtz+fC2HB493M3VG9PQCvD4sT4y441oBYE4k2RE8IPnG7jr6rX4/CL/+1QNn7tgFbFR0kfvrwe6OB402QbgsnVpZMRFSa0pky48AYcsu9uPUadh2O7FL0KsSceYw0OCWRLRI53jlKSFvm9qe61Tg9u1U5FscEo5OkoSWY9fJCVmqrLVqNeQFD1V8FaWFYfH4+G1A8fpGXcRbYA99T14fCJr02Oo7rWSGC3dCN0YsFAcsbn5w1ttXLA6mabBSTpGHGzIiuXcYmmQwB93t4dM9rmuLJEt2VOvoa7Pyuf/Ucma9Bh+dM1avvSvKg63j7GtMIHXGoZItOh58ngf+1tH+Ox5hbz2hbP47pWl3Pt6K/e+0QbAzTtyGLK52VmYyNb8qaEZX7m4mJu2pPHL/WO8UDvA5etTqe614hNFshOMdIw4eLqiD6ZFQeWBWb/psVHceUkxtX3SNWbS5aMsK5aeSR//bnJx8do0/nlzGdeuNnH06FFu/N3rPFvVz/tK9Nx+bt5JveivhMgupspXHuUnWz8WFBQoxjvyKL+5rB9nKnxaKU5rkbVYLPNOF8t/SJfLRXl5+YwtMjKRTBfb7XbsdjvR0dGsW7duSWuh8xVGebh6e3s7GzduDNuOFGmRHRgYUKL0r73Qy3vuPcTt/6jm3etS0WsEPva3Cg62j5ESbeDJT25hW348fhH+vK+L258b5JWmMT62M4fHb93C2owYvvtcE9/8TwNfv6SI7PjQv9fg4CDV1dWUlpaSk5nO3det45YNZjQC/HlfNzqNQEyUjqOd49x+Th5NgzbSY6PoGHVww1+O0jRo538vLeKj27N5vWmEzTlxdIw6+fbro8rgd0EQuPPSEt5VmsKD+7u5JF8Ss8YBGz5R5J8fPxOLQcvfDnTROergfy4u5q3mEZ6p7Oe7V03VF9zw50MhY+r0Wg0378hjxO7B4fETZ9Sh1wo8fqyHs4qS8Itg1kvFYgC9406MgWEBJdOGj/eMOxEQMeg0aAIXdZfXrxhkAIoTU06CibxEaVnEL0qPE0VRmcKzvSiZgoICmv2SQE664Z7d3eTGCDx1oAGTDiq6xtFpBD4TsFD8/Ztt2N0+PnteAXc914BGgHsCfcM1vRP8+tUWUmIM2Nw+ilIs3Lpt6sZ2wOritoePER2l457rN/D956Q12bNWJfJWk2S0IU8Vcnj8XLFBMhC5/o8HeSZQlPXdK0pJNEtrrJ+7YGr4gyiK/P1gN7f+o0FypFqXxrNVAyBCrFHHuMPL+sxYfKKotH9lxEURZ9RS0WPl1rPy+cZlq7n75WZ0GoEJp5dEi57K7gmSo6N46JYt/Px9ZazJTSMjt4D7GgxUDPr44jmZXJDh49ChQyfVRelUjWRnQxAEYmNjKSgoUKwf09LSQqwfw81qfscVPq0kwa5Ps4ni+Pj4jA5KMxEpkR0YGKCqqgqj0TjjUPeFMB9h9Hg8VFRU4PV62bhx44wTe6YPQVgsfr+fpqYm+vr6lCj93ECVat+EiwcPdDMw6cbt8/OJhyq4f08HUToN916/nisD/aV+BL73chc3/1VyWrrvQ2V89z0lNA/Zee99h7nnjTbcAVFoaWmhp6fnhIzAxYUmHvhQKQlmPVW9k9g9PqwuL/+tG+Jn7y1lwulFr9Xg9orc9MAx9raO8YULCrj93Dz2tY1Rmmahd9LLx/5WwdCkJLRajcBP37ueDVmxvNju4eqNGcr+DnWOcv9N5QB8+uHjvLssjR2Fifzw+QYe3NtBXqC31+MT+eD9B6nomoro3rc5k1ijjjij1Mfr8Ym81TTMFRskQwa9RsOBtlFWp0Wzt2WUDVmxHOkYJzvBhF4rkBItRaR+EeoHpOIn+V3t8vhYHRTxBguuXNgkP3fE7iFQY8W2wHrsE8emxt25fXDt1kIO9HkpSDTi9olsSRNorK/laEMHDx3o5NryTP64pwOn188NZ2aTEhOFy+Pjq49XY9RrGLS6MWg1/O6GTWgF6X1nd/v41MPHGXd4+d2HNvLnvR08dbyPbfnxvNk8QmIgepcHHpxVlEhKjJGLf7WHY10TCMBfbirnsvVp3L+nnfNKktmUI1V/Tzq9fOGfVXz7mTrKMsykRut4urKPKJ2Gx249k29cVkKcSUdFUJVwokVP77iL3CQLj3/yTDblxHHHPyqIMeoYl1u9RPjelaX889Yz2ZIXD0jD6z/6wBEOd4zxk/eu55MXrsVsNrNjx44TXJSqqqro6+ub1UVpsbxdItnZ0Gq1JCUlhVg/xsTEKLOaDx8+TFtbG3a7PexrVdPFy0B0dDRWq9RKEE4UZYP9pqamGR2UZmKpIisXGsnCo9VqI3I3O9cbSV5vzszMpKioaNl7bt1uN06nE51OR1lZmXKH+ZWLi8iKCxV3URTxifCLV9vY9bM9fPe5Ri4sSeIj27JYk2zgi+ek0zrs4AN/OsL3/9vE+SVJPPXJLVxcmsy9b3bw3vsO88/XjiKKYljrx1Gnj+drh/nnxzezNS+OSZcPp8dP69D/Z++8w+Oor+7/mdletatd9S5ZtuUq94bpndBrIARIQkkIpPAmpJBKXtJIQggkQAgBQu/FFGM67l22eu91JW3vO/P7Y3bXkhu2MZBf8t7n8SNrtTszOzs753vvPfecIFqViseunkeGQY0/EsOiV3Hj07W8tGuI648p4funlLNrIEBxhpped4jLH9zEG++to6mpiYDXzd0Xz8BhEHmvaSR9g73jjWamZpu5fmUp4bjEl/+5nTvOnUE0IbGtx8PABOehYDTBVY9sZ1PSvcekU/PFRYV4wnHGgzFEQQG9tpEABrWINyIRjCYocRjZ0eNmdr6VhkEfkbhEZbaJHPOesu/uPq/Sl01eGuG4RGxCvXjiNdM5GkI3gek60XCgzGliLBClZ3xPf0wtKKAdS8j0eBUW751XLKegoID71vWBLFOpUrJ3s07FracqZKe73m2neTiQzkR/ff4MiuxKNUIGvv9CLfUDXv5w0Sw+bBnlkY09VDhNbOp0A8rixp7Ues7P0POLs6Zz7J0f0ecOo1EJvP7NZSyrcPDwhi48oXhaUap+wMsF92/irYZhLpyXT9tomEZXFLNOxXPXLWJ1/RA/eLGe3vFwOoNP2Q3++IypPP21RbSNBLjpqV04TVoCEeWzuWZZEW99awUXLyhAleyzjvgiXPnwNhoGfdx96ez0AikFeHurKBUUFODz+dixY8ckw/WjVU36PNjFn2bZNmXlN2vWLFasWEFVVRWiKOJyuWhubmbXrl309/enlf/+D2Q/hZjILt57TjYajbJr1y5isdghlYf3jk9CfErZxOn1embPno1Go/nUSEapSM3cNjc3M2vWrENaUOytmnW44fV62blzJ1qtltLS0n0u8u+dXDFJ1i91PxcERWP3zfphvvVcPU9vUzInFfDol+dy2YJ8nt0+wBf+toV3m0a545zp/Om8KfiDYW5f7+expgS+yOTP5rZXm/jOGjePbx/m1Ls3kaFXc8YMJzKKStRzOwYosOl54up5zC3MYNAbJceq46ermrn3g06+tKiAH55UTPt4nCw9jIYk7t4tkNCaGRoaorVuJ9+YISEg0zceRKMS8EcS3PhUDd8+sYKqXDNNQ34e29zDj85QFJCiiT3nNiUfmHK0AaWvWeYwYDNoyDQpUpTP7+hnSYkFGUUSMQVwRq2ahCSzq89D/YCf2mSf0KRVccmCAjKS2rwA4VgibUa+922neyyYZiHvPVVi1Kp4ektv+ndBgOOnZfHSrgEqs834wnEWl9rJsugZCKt4vzPANctLeapd2d6NCyxs2riRJ9Zs5p/ruzBrRRIynDUrhy/MVgBIlmUe3OJiTcMIPzhtKgOeMHe924ZeLdLmCmDQiNx8QhmSJDEeSo7nCXD6PRvwReJkGNR8cMtKyrNMjAej/HNDN6dWZTEjz8KTW3q59MGthGIJTq3K4vkd/cgymDQit59dxU1P7+KBtV3IQFWuGVWS9btyioPXv7mcLy8tZm3bKLc8V4taJTDgjbC4zMFr31zGD06flnYHAuhzh7jioa30jAV54IpqTp4+md+x93dBFEXsdvsk1q3VamVgYOD/W4H+z1p5yWg0UlxcTFZWFrNmzaKkpIRQKERNTc0kd7fPOv6jQfZA5eKU/2pBQcHHZnMHiiMlPqVs4qZMmTKJaHQ02cp7R2rm1uPx7Hcc6UDxSSz4UoCeyl73d2M4abqTd7+1jGVltr1er5RQQzGZXKuOKdkmmkej/P7DQc69fyuNQ36+e2IZFVkmfvlGC5f8fQsj/d0885U5XLWkkBd2DnLufVt5q2FEEZwPx3hl1xApzpIEvNM0yhv1LnQqAZUo8G7zKGf9dTO+SJwHLp/NBXNz6XOHyc/Qcd/abm57tYklOQLXTIeBoEy+zcCAN8x3Xu3CUVjBkiVLKMo0cvsp+YwFomgF5f1uaB/nd2818/hXFmDQiPxjXRfTsk0UJEUkzBPou6OBGNdP0DTOtuh446blXLWsCJc/SkKS6XOHWVikzI1OyTJTN+BFqxIZ8Sur9R3dnjQ4mrQiwWgClShg1auRktpNkZiUnrPdm9zaPRbCYdJi0IgU2o17sjlRQKsW036xqc+pIsuoCIkkJATgp19QFhB/WNOKzaAhz6qjYzTEjDwLXzltIXMXLuHvuyMYNAL+qIRdB1+eLjIyMkIikWBVwzjP7h7nisWFOM1afvlaE6Bk31W5Zv7nlCn87cNORoN7Fsw97jCxhEyx3cBHt6xMGy48tK6bYDTBV1eU8N3navn5qkZm51vJMGh4o26YKxYX8q/LKji+zMR3n6+lczSEXiOyoiKTpiE/Zp2KP108i/uuqCbfpqdtJMAjG7oV8YkMHQ98qZr7r6im3Dl5ht0TivHFf2xh2B/lwnn53P9RJ7N++U7aevBQIsW6nTlzJitWrGD69OlpU5JPu7R8tOLz0i6Ox+NoNBoyMjKoqKhg8eLFVFdXf+bHkYr/GpAVBIFEIkFnZ2faf9XpdB7xtg+3XCxJUtomrrq6moyMyS4bR5utnIpgMMiOHTs+s5nbRCJBY2NjGtANBsNBt2PVq7nvi7P51vGlCMKem76AkkkNeiPU9vtwhyXsBhVVuWaGfVG0ahUPXTGbU8qNDHvD3LE5yl1rB7l6aSFPXDOPLLOWW15o4OZn6/FHE9xyUtmk/aYgX5L37HPIF+Wsv27hvo+6uO2MKfzPSeX0eyJkmbW8snuYH63uZVlZBn++aCZ97jAOk5Yhb5gvP7yNEX8MURQ5deE0/nzpXFIYIAD/3NDDg29s5hcnKdnadY/v5M4LFeKTP5JI908Brntsx6TjFASByxYWolWJWHQqVALU9AfIMamIJiRcfmUUaVu3m8psE9t73GmBB7VKmeMc9IaxGTTp7DUcl9JWaxMzKncwhjsUI5KQmFdkQ6/eY9WXGksaD8XSIG7Wqajp9ZJl1tA5GuTrx5YxJcvM+rZR1raNce0xxfxuTSvCBLLTb1a30O+JEIwphKp/Xr2IwrwcRkdHeei19dy9fpjqHA2LC43c+kJd+txU5ZqJJmRuf705vUCYGItKbKy+eXmaxOXyR/jXpm6OqXDw/RfqeLNuiFOmZ1HX72XEH+Vvl8/lovn53PhSB681+5BlmJFrxmbUsK5tjIvnF/DmTcs5c1YuvnCcX7/ZzDl/3UhNr4cfnlbJqm8sSzOko3GJXb0eHt/cww9frONLD21l2BslFE3w2OZeNnaME0vI6dniI4lUllZdXU3BtLk0BAz85I12Fv3mQ+54+sOjXlo+GvF5aQgfaD738yoX//tQsD6FMJlMab3MWCxGOBwmkUhQXV39iVdYhwOykUiEuro6MjMzmTNnzn4/7E8jkx0ZGaGjo4OqqiosFsthv/5wQTYUClFXV0deXt4kb93Udg70hROTkouz8i1878UGfGFlTjEuKUArCgrBRgRaR4LMK7Jy4Rwnv35xC2vaIwiCIvi/avcQbzeOcOOxpTxy1Vye2TbAPR90cu7927j5uBKqc7TUjsTQq0X80QSioIytpLQAUn3PB9b18M+NPZw3J5efnFbO799ux6QRaBpL8Iu1fh66ysRfL5vFzc/Wk2HQMOQLc9WjO/j2HGU7J0zL4nunTuF3b7WyuNTGpk439+8Mce+52ZxVoee1tjC3vVjD3HwjNf1BxgJ7spFdfT42to+ytHyPGUOmScsX5uTw6i7FSu69VjdnTDHyeksAUVAAcHefl7Nn5/JBi4vqIivDvjHMWhFPCHrHQ2QYNEST/rATy8WqCals95jyXRkLRDlpmpONHWNIstJ3tejVjAWibEo+BnDsFAev1w1TbNejUye4cmkRkiRz55pWCmx6mocCSdnLAvIy9LzbNMJz2/tRqwTiCZkfnDaVqnxlsTku6bmvdoDiDA3nTDXx/ZebsWphxB/FrBVpGPQjCoqTU2yvS/LC6jzuOH+yGpxaFJhfZGNjxxgZBg3zi22saRxheXkmt59TxfM7+rjxyU4kWSm7V+Va2dnrocxp5LFrFrCo1E5Cknlmax9/ereV8WCMi+blM78ogwyDmpdrBtjd76W2z0vzsD8N/HajhgKbnhyrjkFvBK1KIJqQ+e5JFVx/7OSF3seFJMl0jgWpH/BR1++jbsBLXdK/d2K0hU3p0nJDQwN6vR6n04nD4cBkMn1u4PLvBLKfZ/xHg6zVasXv91NfX4/f70ej0VBRUfHxLzyEOFQ1pLGxMVpbW6msrMRutx/weUczk5VlmdbW1rRa1cd5vx4oDgdkU+9z2rRp+2Tph3qulpbZefZr8/nu8w3s7vcls1mBcFxGLYInnCAug0EF72zcwamzCni1vZNAVEqTiIJRid+/3c7f13Vzw8oSnr9uPne82cZv1rRTblOjVwvk2/RYdCq29XhRiwJxSSbTqGZmnoXtPV4C0QSxBDy7Y5AvV6m5+5wSfvbOIFF/lOFggise3sm9l87in1+ez7WP7UCQBbrHQvx4LdxTu57vnDSFKxYX4Q3Fue+jThYUZ7Ct28P33uxj9U3LaXp4G60jAc5waKlBEZDXq5X3CXDLc7Ws/d6xk26OX15SzAs7BlAJSg9ZLQokZEXub3lFJhs7xtFrRLzhOGUOEx+2jGHQaoAoLcMBMgyaNEs416pLZ7ITQbYradYeS8gYtOo0mBZaBC5YUMA7jSOT5mvXtSkkre7xMOfMySHTpOW13YPUDfj4/mmV/H51C2adip+dNY2xQJTbXq7HoBEJxSSWldu5cqli4efyR7j+8Z0YNCquX+zg1x8MYzVoGQtEmZtvpixD5PUmL4IAe+EL3z25gutXTgYvfzjOL19rYl37GLPyrQx5w9T0erj11EqWltu59rEdaeWmMruW4UCMugEv3zy+jOtXlqFVi2ztGudXrzfRMOgny6wlP0PP8zv6eXZ7f3o/Fr2aWflWrl5WzKx8K/5InCe39FLb7yPHoqHIbqBnXCGSXbN8stn83pGQZNpdAeoGfNT3e5WfA760epdaFDBqVQQmnIAss4b/PXcGx01V+BUp2ddgMIjL5aKlpYVgMEhGhjLfHI1G0WqPvsPPgeL/rO6U+I8uF+v1eurr67npppsmKRkdrTjYClGWZTo6OtJzqAcDWDh6IBuJRAiFQodsrn6wOBSQnThvu78y+KFuJxW5Vj0PXzmXSxfkIaNklioBSmxa4rKiWvRBm5sfro2wpjPMP6+spiBDl+4dGtQiTrMWdyjOb95q47z7t2HUqrhiUT4jwQTBmETzcIA5BVauWVpIXFK0ZhOSzNq2cb64MJ/fnjsNc9JF4MmmBBpTBk9cM4/pOSaiCQjFElz16E48oRiPXr2AcDw5qxlX/FxvenoXy373IX3uMEvKbGzr9jA1x4QvHOfKh7fx6NXz0alF3mwNMqdAETZIASyAKxDj3rdqJ/XbqvIsLCqxoUtaz20fCFPuNBKXZL66vIRMk2bC/K7ympSH7kRBCoCTpmenQVY9CWSDaSJUJLbnZn5isZbrjy1jdf3wpBvGRJeiryezNJ1a5IRpTl7a0Y+MMqeqUon0e8IkJJlQTMKqV/PnS5SKTjiW4BtP1jAaiPKLs6dz59phZGTGg1Gq8qzcdOIU1rQF0GhU+wDstxaYOKNENcndpWHAx4UPbOb12iEWl9io6/di0ql5/CsLCUTiXHj/ZtpdQQwakSlZJjrGo5Ta9bx4/WLOq87n2W19nPSntVzx0La0yMSIP0qfO5xeYJw1K5vVNy9n863H8dCV86guzOC+Dzv48csNdI+FqMgyMuyP0TOuLFoicYkXdu4B57gk0zjo4/kd/dz+WiOXPbiFBXe8xxfu3citL9Tx9LY+EpLMKVVZHD/VQaZJQ1ySiSUkRFFArxH5/qmVvPfdlWmAnRip0vK8efNYtmwZ+fn5SJKUZi03Nzd/JqXlzzOT/Xeak/33OZKjHAMDA9x6660ArF69GrVanZ77/LRXV9FolPr6eiwWC3Pnzj2k/R2NcrHb7aa5uRmDwUBRUdGnPnMbj8fT5amDvc/DnbfVqkVuO72SuQVWfvF6CyoR2saizHKq0IgCO4bjaFUCT23t54UdA5xfnctHrWOMh+IU2/U0DgUosRvINGmo6fOyplFh7C7M1+M063iz2cM/N/byg1Mq+MnpU7j9zVY84QROk4YH1/cw1aHltqV6PnIZeK1+lGse28UNxxTzt0um8/3naljfF8OqV/P1J2r42Rem8dx1i7ng/s2T34NK5MMWF55wHJUo0DKkzKq2jQT4+apG7rl0Ntc+XkPzsH+v1ynlxXvXDzHbHECnAofDQVZWFlcuKeLmZ3YD0OWJc8mCbJ7d3p9UM3KwsV2ZH+13KyM2KZu2jtEAK6bscc8JRvfIKk4C2dEgZr0aXzielKlUFjlVDjXjwShrW0fTPdpss5bh5KywRaemPEuZuz25KptIXOK7z9UyNcfEmbNTc71CGpTvu3wuGQYNkiRz64t17Orzcse5VfzurVaCUYm4LDMl28wNK0u56eldiKIwKYMDePZrC6nI1OByuWhoaCAUCrFlTMdDO72Y9WrKnEY2d7m5eH4+lywo4Acv1tGWzF7LnUZ6x0MMesPcvDybs2fYebdtjF+vbpm0D6NG6UmHYhIaEQRB5L4r5rKiwkEiIfHopm7+sa6LYV803df3huP4wvH0ebIb1dx96RwWldj5xapGdvd7aRgIEV+zCQCTTsWMXAuXLChgRr6VqVkmWkYCvLCjn5drBhEFmJFnQSUIjPijnD4zmx+eNpXcjEOznhRFEavVitFoZMmSJcRiMcbGxj6T0vLnBbIp16+94/96skcx1qxZw/e+9z2+973v8eSTT6ZXNals8dME2RTQVVRUHJbJ+ScBWVmW6enpYWRkhDlz5tDU1PSxoNY2EuC8B7Zh0amYnmOmKs9Mkc1AoV1PgU1Pfob+oCAbCASor6+nuLj4Yy34jnQU6OzZOUzNNvGd5+qxqaLUuhKUZBp4+MoZPLShlw9bx5CBp7YNYNAIaFQq+txhbjmxjKe397Oj18uC4gw0Imzs9NAxHuW82U7OnJPPd15o5Ddr2jhrZhY/OKWc36xpZywYQyNClzvKz9fH+NHphRwzxcltq5q4b203GzvGuXGWnoWVBdz9ficWvZqfvtrIdceUct/lc7nhiT0ONu5QjJtOKGd2vpWXawZYXT+MJzly8lbDCDNyLVy+qJAntvSSZdbij8QJxaT0WI8EvD5s5ldfmMbo6Cg9PT0Y3G6cBhFfVCKSgEAkgSzDm3VDrKjIZNXuQZaW2WkY9FGQoU+7B/V7wpMy2WA0ngbZ02fuGS3pHguhVYkU2PTs6vMiyWDRqcg2CrzTMDzJV1anVTJqGZhXvKd6kUhI/OSVBgT2kJ3CsQTXPrYDSYbrjillQVLU4q5323izbphvn1jBvzb1JhcHMvlWHdeuKOW7z9WiUSkAm9qXALz7nRXkJxW+TCYTjtwCfvpKA6/VDlGcoWHIHyMSjfGDY7MYj8OlD25Jj0jZjFraXUFOm5HNj8+YRnC0n486/fxtnaIQZTeqOWlaNo1DPmr7fRTa9YSiEuFYgge+VM28Ihs/X9XAM9v60+cww6Cm2G6keyyIZwLAXrG4kO+fWok+ScZqGPRh0qo4Jl/kzEXTmVOYQUmmEVEUaBjw8dz2Pu54owlPKE6BTc9XlhfTNhLgg5ZRSh1GfnP+zLSX7+HExHteirV8sNKyw+HA4XB84tLy51Uuhs8PUPcX/5Egu2vXLlavXo0oijz44IPpx9Vq9VEvJciynO45dnd343K5mDNnzmGbnB9puTiVTep0OubNm4coiodUnq0b9CEK4Isk2NLtYUu3Z5/nOI0qcswaynO8FNoU8C2w6THEA/hdfcycMeOQNJY/yQxwgQl+ME8mLyuHxtE4/XEjC4ptLCi2savPy18/7GJd+zgJCUKxOKIA937YxYIiK73uCNu7PcjAnHwLw54At63u5ZgKO7efVcmPX23m9boRNnS4OWuGg9fqR7FoRTwRCbtRxU9XNXPKdCePXVXNzc/Ws7PPx3eG4ZGrp1LqMPDDlxoxalU8sLaTs2blcF6Fmpfa9pRQ//JeO98+sZw/XjybSCzBR22jPLmll7WtY9z1Xjt/v6KaYDTBSzXKHHAqi51XaGFHr4+Xdg5y3TFlVOTmkpubiyzLXBFr4c8fKKL3bzcMUZyh5pWdffzlsmoA9BoVPeNhbj6+jLvf78CqV1OZbd4LZBNU5VkY9EYw6/Y83jUWpNxpYkFxBg+s7QJgbqEVUUygEkWFVSxDdZGNrd3u9OsWJcU3AH7xehOBaILzq/MosiujYj9+uZ4hX5TpOWa+fZLCiXh+Rz/3f9TJhfPyWdvqomnIj0YUyDSouWR2Jt9/oRZREAhElesmBbDvfHsPwIKibfytZ3bTNRpkWo4yi7y41Ma1ywr51RvNdLmVbDvHJDIUkLBIEn/94lxOmp5F/YCXn7zRR+1QmOk5Jm49rZL3mlw8t6Mfp1nLTceX8+z2PmIJiQevnEfPeIjbXtlAhyuIWafixGlZWHQqVu0eYne/N62clWFQc9fFs1le4Ugzj3f1KWbvGzvGCUQlqsqDnDAti6e29vHcjj7q+n1o1SKnVmVx3tw8Ggb9/O3DDiRZ5tsnVvDVFSVHbId3MLBLlZaLi4uRJAmv14vL5aK7uxtZlsnMzMTpdGKz2Q4bMP9deqOf91zxZwaygiCcDvwZRVPgQVmWfzPx77///e95/PHHgT3AMTIyQmZmJqWlpVgsFlQqFWq1mq1btx50X7fccguguMukRnhAAbJ4PH5AGcHDjRTDWJZlGhoaMBgMaaA73DiSTNbv99PQ0LBPNnkozOdzZudyWlU2/9rcy4PreghEE4qBNYrMXpHdgFGlWKJt6fKwavfkTEYtQu6WekoyDWnwLbDpKUz+s+rV6dXkkVrmDQ0N0d3dzYK5swiFQsxUeTm7vCT99zkFVu774my293j464ddbOp0IwrKiMq6DjewZ1RnV78yo2jWimzsGGdDxzizCyzs6vNhUAu8Vj9KUYaWHk+UOQUW6gd8GLUq3mlyUdPn5fYvTOXxzX181D7OxQ9u40enTeHxry7k60/UEEtIvFY7xFSbwLRsE00TZknvercdQRC44dgyTp6ezcnTs3lpZz+3vljPN56q4blrF1HT66ZrLERehp6usRC1/UrGE4gmuOmpGl775jIEQUAQBK5YVsb963qJxpVstsJp4r02D1u2bqXAomJwXLneJ5KcQtHEJJANRBMUJYFKn+zbekMxxoMxTpqeRXHmHhA7YaoTGCI3Q58WC5FkKZ1ZAuk50QFPiGe29WHUqvjVOVUArK4fYtXuIXRqkQe+NA+VKLChfYyfvtLA8nI7o4EIW7s93HR8Ga/uHsIgJvj9hwPJ9zD5mnnkqvkUpFShZJlnt/XzqzeaMGhEHGYtrSMBvnViBTIy1z9Vm8xeVejUAsOBOOdMt/KFYpnwUAs3bW5lTVsAi07khqXZdPvgRy81pPd12+mV/OrNFiRJ5uplxfzgxTq6xkKUOY2cOM1JrkXLCzWDhGMSC0tsikVeXGJGroWLF+TzduMIf3ynjYYBX7r/nQpRgA+aXTy0vptIXGJ6rpnbzpjK2XPyaBzy8cvXmmgbCXDiNCc/PmMahfbDE8rZOw41oxRFEZvNhs1mY8qUKenS8uDgYLq07HA4cDqdh1Ra/ncB2VT8R5eLBUFQAfcCpwC9wBZBEF6ZeONNlXcBXn31Vf70pz+Rmbmnj/Tee+8d9lyrTqebRB45mqL+qe253W7a29spKys7LFnG/W3rcLK9wcFBenp6mDFjxj6G7oeaOerUIl9bXszlCwt4bHMfD23oIRhNkGfV4Q7GaE/K+S0qsXH5glw2NvWyvl85f3EJet1h+j1K/2+v+whGrUiRTU+h3YBRDlHpGuGaY6yH9N5kWaatrY1gMMi8efNQq9WEw+EDAvX8ogwevGIOW7rc3PNBJ9t7FCZqylQ79SqdCvzRPedlV58CvEYxxnePL+Kva3tRi8rj58zOoWHQR8tIkGA0wQ1P1XL1knwKtQGeboryqzdbOaUqi6e+tpCbn9lNXb+PVo9MQUZCIR7Je/b7p3fakGX4elI0/7zqfBoG/Dy8sZuv/GsH936xmi89tJWusRCLSmxs6XJTYNESGA3R5gry6u5BzpmjaCJnGDScNcPB87tGABgJKe9nWF/EsVP9PL9zCLUAdW09AKiQ6BoLpu3uQMlkw0likyFZykwxi0syDeycoKG8pNTGePcQr+0eRJUc5dnZ40WG9EKgLAmy33hyF7IMP//CdNQqkSFvhP95vg6AP140ixyrjraRADc/vYs8q46dPR6CMYmCDD33ftCRvoYmfmapuHZFCUvKlfuBPxLnZ682smr3IEV2PX3uMAU2Az+6YCr3fdiRFszITY7RFGWaeeBLVVTlWnhicw/3rGsnEE0wM1vLqD/KfRuH97mm3mlyEY4pQh53v9eOUatCqxLocAXpcAURgXPn5mI3avjnhh5klMVp/aCPX7ymAL/dqFXGlSQ5vYBNnbPu8RDnV+dx8YICZuZZGPFHuf31RlbtHqLQbuC+y+dywrQjv59MjAONz8UT0kG9bPdXWh4dHU2Xlq1Wa7qfu7/ScqrK91nGge4Rn2f5+LPKZBcDrbIstwMIgvAUcO6Bnvzkk0/yxS9+8ajseOLJPZogK8sykUiE9vZ2Zs2adcgqSgcKURQPat+UCkmSaGlpSctB7q/0fbjlWaNWxXXHFHPpgjwe2tDLE1v6iEsyx5SasWpk6lwh/vieGwC7QXEoSW1dSrqWqATwRvYQaoJRiabhIG2uEAlJRt8eIiFqKLQZKLIr2e7E7CoVsViMuro6MjIymD179mFlw4tKbDx85Vw2dipgu6tPKYmnsrpUJmbVqfBGEli1Snm2xS3zYbuXP180k8e39PFh2ziv7B7iknm5HF/p4B8bejBqVTy8qZ8Sq8gfL5zBT1c1saZhhNp+Lw9dOY+73m1ndf0wg74IGlHZboFNAQBQ+o8yMt84TtHQ/cHplTQO+djYMc7/vtHE7y6Ywc9WNWHWqbHo1HSOhii06eh1R3incSQNsgCXzs9h1OPj/a4wtf0+KrPNvFE3zPdOnYI/phCYxmSwG4JEY3GGfTF27tieBq9Asv8LpPuFqRnZ4kwjD63vTl8XJZkGhjtk3qgbQgZKHUZ29irC+XMLM9jUOU6R3cDbDcPUD/iocBo5d24ekiRz7WM7iMYlzq/O4+SqbEb9Eb788DZC0cQkZnK2VUdFlokPW0dRAXt/Q0+c6uS7JyuaxxPLw3kZenrGw5wzJ5diu57/eb423XslaW7w3ZMq+MqKElbXD3HjUzWM+KLo1SKSDLXDygJcLSrXRupOkaETWbV7KA30QlK7OPW7Wafi1+dW8diWPl6sGUQA8jN0rJziRKMWqB/wsb3bQ9gTJtOkIRyT0t+XqlwzCzOj3HDWUgxaFdF4gkc29nD3e21E4xI3HlfGdStL05/LkUQgEmfEH8XljzDsi9I74qF9MMCTbXX0jIfoHgvhCigKYjt/fDwG7aHBgNFoxGg0UlRUhCzLeDyedGlZkqR0L9dut6cz5/80veQjic8KZAuAngm/9wJL9vfEYDDIm2++yT333JN+TBAETj31VARB4Prrr+e66647pJ2mbsypFdXRAtl4PE5jYyOJRIKZM2d+YoCFQ1sAhEIh6uvryc7OPqhjz5H2QDMMGr5zYhlfWpTP/eu6eW7HACJwUrGan542ndrhCO82jVIzwZ1EJSg3p5SObFWOmTmFFlbtHiaakLDo1MhSglBc5s/vdU7an0Ejkpehp9iup9RhINsgEvcMsmBaCYXFuUfkbSsIAsvK7CwttbGufZx7PuikbsCvjOnIipiBN5JQhO0lZe5yVr7Sy/vG07VcuiCfX5zl5H9Xt/LMjkEWl2TwwOWz+eXrLfREE/T7JW59sYFvn1DGW02j7OjxcM7fNnHnBbPQhsd4tT2e7s3NK8og26JL+6X++d12AL5xXDmCIPDAFdWccc8Gdvd52dA+zhWLCrl/bSe3n13Fba80MORVWKtv1g2zu8/L7OS4T2mmgZsW23DFAtT2+3CYlF5ffoaeOy+cxZ1rWnh4QzfzimzJSkMMW0E5Ju0u/FGJ3Y3NDHuUm2BSyInOUQVkC2x6avuVz/c7J1UgCAK7RuJpAYTTZmSzs9eLXi1i0KooSrr+PLC2E7UocG+S7PSnd1tpGvKTn6HnJ2dO47ltfdz+RhPh2GSbvVduWMLa9jF+91YLInsAVpVcHM0usPK3K6qT5eE+bn+9Ca1aGWPxhWP85MypPLW1j1d2KSbydqOG8WCMhSU2zp6dy85eD0t+80HayF6rEtJG6ams0qQR8ETkNIi6IwqbONsgMBCQ0xm2KMC3Tqzg+pWlPLmlj80d46hFgTvOraJ7PMSz2/sZ8kZwmrSUO410jAYZDcTQqgQWltipyDIRisbY3B9gzQOb6R4LpkUsVk5x8JMzp02S2ZwYCUkZa3L5owz7IgqIJn+O+COM+BRQHfFH07O1k74XgCgG04tgUFoFna4gVfmHVmGatD1BmFRajsfjjI2NMTQ0RFNTEzqdjkgkgt/v/0wFMf6bQXZ/Z3i/acmrr77KihUrJpWK161bR35+PsPDw5xyyilMnz6dY4899rAP4miArM/nS/dBNRrNUWuqf1xPdnR0lLa2tv2KPexvW59kBi7LouOHp5Sz2OrjucYgqzvjfNTfwlVLCrn/i7MIRhO83zLG79a0Eo7Laasvo0ak1x2iYYI3amqMZH8Rikm0u4KKMMDE6YntrQi0YtGrcZo0VGabuGxuJlI4gSTLaV/Ug4UgCBxTkcmKcjsftIzxlw86aB4OptWCjFoBb0RGrxFpGAygEmBajpknt/ZjN2r49vFlPLalj81dHtpdjfz0zErWtY3z9HaFyfzbt9s5vtLBV5YX89D6br717G7OLlfz2wtmcNvLCrt21e4hfnbWNIxaVVq4YSLQ6jQqnvrqQk69ez3Pbu/nf06eglpUMqEzZmbzRt0wORYtQ74o33u+lte/uSwNEABfXlrM91+oo35AKXu/XjvEDceWMb/Yxt/XdpFp1LCzxw3AUEAi06TDHw2RV1hCc2AYiNDX3cHmRD913RLZZi094yEicQlBgAvn5QMyG/qVMaTKbFM6i71sUQHr28Yocxp5s36Yml4vPz1zGmVOEzt7PDzwURcqUeBHp1dy5j0bGEyKhVQmR1QAbjm5gjVNI/zlvXYESGd7Bo3IyikO1raN8dCV8whE4vxsVSOv7hok26Jl2BdlXlEGt59TxZNbemkZDqBTKXaAwWiCYruBHd1utnYp710UoLrQSiASp2UkiJDcUyQuoVMpALt3xCToC8jKaI4MBRYV185UUWX1sLm+g7+v7UMUBfIydNz6Yn26fK5VCbgCUVwTVLyiCZn17WOsbx9DpxaIxmVk9mTy5U4jTUN+Tv/LeiQZqgszmJJtYsQXUUDVH2EsEJsEkKkw61RkWXRkmXXMyrfiNGuRZRjxR+gYDdI67E9n6aKgLGJm5Vu45eQpLCvPPGrgp1aryc7OJjtbYasHg0E2b958yKXloxUHAtn/hnJxL1A04fdCoH9/T3zqqaf2KRXn5+cDkJ2dzfnnn8/mzZsPGWS1Wi3RaBSdTveJQFaWZQYGBujr62PmzJmYTCb8fv9RKz8fqCebEntwu91UV1cf0gX6SUE2JY9Ynm3ju5lG1I4i7vmgk79+1MWT2/r56vIiLluQz/r2cd6e4BoT3Fvvbj+hFsGsVeEJJ/a/ykqGjDJz6A3HaR8NsbpB2Y/6NRcOk4Yssw6nWUtW6p9F+VmZbSJ/wgyhIAgcP9XBsZWZ/OvdGh7c7sUdBW/yxqpTCYRjEjqNSP2gH5tBjVmn4ndvtzMzz8zsfAuNQ35ufraeL8zK5oY5Gl7oEIjEo3zYOkptv5fvn1rJq7sGeLXdj089zN8un8u3nt5NIJqgddjPg1+ax7ee2cVbDUof9c/vtiPLcOPx5WRb9Txy9Xwue3Arf3inleMrnWzpGufxryxkXdsYQz5FVrBjNMhTW3u5fPGer9HpM7L5+apGvOE45U5jGmSrCzPS5zA1EtQ9FsJmVNM9rnxOkqBksnNnVjG3xMLg1q1k6WVeeH8bAKU2LRpBwh+Os21Q8ZQ9rSqbv7zfnrR2K+GJLX0sTfrjVuWauWxRIf5IPK2//NMzp7GswpG2zltaamNjpxsBqMgy4QnFeXBdV/pYATL1IvdeVMmXn2zmsoWF9HvCfPvZ3XS6gmQY1Lj8UW48rozFpTZufLKGrrEQKlEgknyf8YRig6BVK8pSJ0/PIpaQ+KBlNH3eIgkFPK169QEXgUaNiFmvYdgX4bKFBfzgtKnoNSLb2oa44ak6gjFlfxNt/wLRRDqbKHMYmJ5rIRhN0DWmzOSGYxKR+OSrXhSgwxWc9F3Y2euhzxMiO3mNV+VZcJq1yu8WLVlmHVlmLU6zDoNWhcsfYV3bGGtbR3mtdijtdTwly0R1oY3GQS/+qMSSEjvfOK6MxaUHF8Y5GmE0GtFqtcybNy9dWh4dHT1oafloxH9zJrsFqBQEoQzoAy4DLgfumPgkj8fDBx98wGOPPZZ+LBAIIEkSFouFQCDAW2+9xU9/+tND3nEKDFMgeyh9z70jkUjQ1KS4gcyfPz/9IR5NveH9bSsajdLQ0IDZbKa6uvqQV2OfZDGRyphTrh+9vb1MyTJx10Uzqe33cff7Hdz5djv/2tTLDStL+PmZU/jXln4e2dgzSbVo0nsT9hCj4hK4w5OPzaBWXGKG/DFUAhRnGsg0aokkEvS7IzjNGq5amENL7zAqc2ay3xSlzxNmZ68Hd2jPZ/rN40q4/piSSduXZZn2tjaqLFEevbiYd/tV/OWDThKSjDd5LKlTG4lLdI+HybPq6BkPUzfg59w5ORw/xcHjW/vRq2S+feIUdvR6eK1uBF8kwe/eauHKJYVUZ0R4rnWUlmE/vz5vBt95tpYntvZRkWXm7kvn8IMX69PjOne/p2S0Nx5fztxCG786ZwY/erme9e2jvHnTcjIMGv58yWyueXQH4WQz+TerWzhzVi5isg2i06h48qsLueaR7WhUIk1DflqH/dz3USd2o4bqogxW1w9j1KoU8pNRS45Fx7LyTD5sURYteo2ITqdjSUUWTrOO1mE/MMDsbB07duxgbW+UuKx8hqOBKJIMp1ZlE0tIROMSXaNBBr0R/njxbFSiwC9WNeIJx1k5xcFliwp5aWc/XWMhFhRnsLHTnS4DV2SZ0gCbium5Zu443saqZjfxhIzDpOXiBzajUYlJjWY1f7xoFu81ubjqkR1p0wIBOHl6FtVFGazaPUjjoJ9Z+RYKbAbWNAwjCorTkizLLC61U2jX89quwTTATiLHqUXOnJXD6vphIvEEf7l0DqdUZbGxY5yntvayuk5h2dsMalSCwGhytnpRroqRELSOK9dTx2iIjtFQ+r3p1GJawtOqFQgnZKIJRaRDkhUm9Tlzcvnm8eXk2wyT5C73jmhcYlu3m6e39bG2dTStTGU3alhRkcnCEhs942Ge395P60iAJcVmLqoyc87yWQfc5tGOiRW+iaXlioqK/ZaWD4e1fLA40Ijmf3wmK8tyXBCEbwKrUUZ4HpJlue6+++4D4IYbbgDgxRdf5NRTT53Elh0aGuL8888HlF7o5Zdfzumnn37I+zabzfj9fhwOR5qlejiREl0oKChIZ9SpOJpEqr0zWa/XS2NjI+Xl5YfNqj6STDZlYD8+Pp7OmFMLnFTMyrfwwOVz2Nzp5s/vd/CL11t4eGMvNx5bwts3L+XRTb38a3NfmlSTunntXeVKEU1SEYrLhPwxnCY1Fr2GYV+UjtEQJq3IKdOdnDkzm5lZWiq0XmbO3FdkPZaQcPmjjPijOM2TM/1YLJZW3yoqKiIWi/HV5UWcPTubrzxWQ9eYcj0Eo8pYSur9jgVjROISRXY9q3YPYdSquGppIe/X9fKr1a0sKbVx2xlTuef9DuIJmX9t6iXfBHecN5M/rGnlf16o43unVrCxfZxfvt5E60iAX50zHbNexWObFE/Wu99rRwa+eXw5F87Pp7bfyxNbern8oa28dfMKllc4OHt2Lq/uHsSqV+ENJ/jla438/LQ9i4jpuRbOq87jkY0K5eGNuiFe2zUIArywQykWWXRqesZDZJq0aNUiC4ptabOAFLv41tOmAnDKXeuUn9VlLJmRzX0NWxCIUJ2j4dltynFfOsNEY78bgLVto5w3N48FxTbGAlE2dIyRY9Hx50tms6VznNteaWBuoZXWYcVsPpKQKHMaWV0/mdF74jQnf/3iXHbXN/LC7lGyLTruercNq16NNxznjJk5fGF2Dj99tZF+dxiDRrHxu2ZZMZcuLOCe99u5c00rWRYtp83I5sMWF3X9PlSigCTLfGF2LpkmDc9s62djx/jkaz/5c35RBvk2PS/uHGBhiY2fnDmVDe3jnP6XDXSOBjEliWA94yHcoTiz8q3cdGIFX5idi0Yl8LNX6ghL4/R5Y0gyZBlFFhRZqBuO0DMeTi/kJGB5hYPW4QC97jArKjK57cxp+1jmpY9PlukYDbK2dZR1bWNs6hgjFJMUE4TiDL5zUgXHTHGQn6HnX5t6+MPbbfjCcU6Y5uQbx5XhFAJp4/LPKg6WUe5dWg6FQrhcrrTeutVqTYPu4ZaW4/H4Pvv9PFjOE+Mzm5OVZfl14PWJj6XANRVXX301V1999aTHysvLqamp4UgjlQHD4YNiakymqqpqv6ILR1PUPwWMKS/WwcFBZs+efdhm8qltHU7GHo/Hqa+vx2g0TpJHPJAc4uJSG49dVc0HLWPc/UEn33+pkanZJlz+CKHYnhnK1M1LJYBKVJx0YDLATgxXII4rsOe4A1GJl3YN89KuYZwmDYtzRb6c6WNGrnnSl0ajUghUeXtJzaUWSKWlpWRlZTE8PJy+2WRbdLxw7UJuf7MFk1bFe82j9HsiRBJK1pZyqRnwKM8369T8Y30PBWaBKxcX8GLNIDt7vVyzrJiGQR8ftIwyFIQfvVTPjceVsbnTzW9Wt3JedR5fXlLEo5t6mFNo5SdnTsesU3Pfh52AIlhhN2q4YnERPz1rGo1DfrZ3u7nusR08fPUCfnlOFR+1juIOKeNUr9UOcclcBxNvxxfNL+Ch9d0U2Q28XjuE1aDBHYrxu/Nn8p3nagnHlJJludOUVoGKJSazi0Fhpab0ducXZzAWiLKxQxHzmF6UzfbBPmbmmiiwiDy6qQ0ArQhfW+QgkUjwo5fqcQdjPHPtIkb8Ub751C7yMvQMesOoRIGyLBOtw346XHu0hlWiwP2Xz2Vl0jbuhXpvsjIRR6cWiSVkfnbWNBoGfdz41C4MSanDcqeJ286cxob2Mc6/bxMJSea4Sge7+7ysrh9GoxKQgWMrHWRbdLxUM0B4P+0Mu15kPCyxcoqDDleAnb0eLpqfTySW4OK/byUal8iz6tKEKnUoxuWLi7hofj5Tskxs6hznjjeaeKthOG1beNnCAqw6Na/uHuDNJoX0plPB8aUmFhVb+bBtnPebR8nL0HH3pbM5tSp7HxDwhGJs7BhjbesY69pG0yz1kkwDF8zL55gpDhaX2jHrFHekf67v5rHNygjeaTOy+fqxZVTlKc5bvb2+z1x56XDUnlIysBNZy6Ojo+zYsQNJktKCGIdSWv5vLhd/bpEqF8Ohg2wikaClpYV4PH7AMZnU9o6k/HywbdXX16NSqZg3b94RXyyHk8mmBC1KSkrSK8uJx3SwubNUr/ONuhHu/bCTsaSJ6t6vSMiQSCizsyISodiesZqPCwEocxqw6FSsbvfzetsOSh0GzpyZzVkzsycJJ0wMl8tFe3s7MyaoUu09BqRVi9yeNBm/5aRyXtk1xF8/UrRoIUkUkWQEQfG1NWiUG/K/NvdxQqWDuCxz30edTMsxccOxpfxzXSdxWRGgWFFu55plxfxzQzfTc8389vwZnDtXGcP5zklTMGvV3Pl2KwC3v9aEXqPiwnn5/PPL8zjt7vVs7/HQMOCjKs/CXy6dzZUPb0/P3/74tTb+cOIeRmhFlol5RRn0jIfoGY9S5jDiDsUY8UdZOcXBjh439QM+zDoV3rAiqZgi0Rg0e25atf3K/Gu2RYfTrOOJzb1IgEEN7yZ77987bSplZQ66PhoHIly7NJ+Yb4zbn27iveYY31iahU0rc3WyLyvLMoFIgiuXFPG35MIiFQaNyNNfW8S0XAuyLPPc9n6eqvWlF2mV2Wa+uKiAv7zXzpA3gjpZ8r311CnkWJWRnT53mHlFGYz4InzQMppmLs8vtpFv1fNa3WA6a58YC4oyWFhq5/6POpmebWRd2ygWnZqCDD3Pbe9HpxZxmDQMeCIMeCMsL8/kovn5nDTNSdNwgOe29/NGndL/TKk/5WboaR3288y2/rQARWW2iW+fVMHiYiuPrm3jDx8NEE3AuVMNfG1ZIUV5VgRBIJ6Q2N3vTWerNb0eJFkhNi0rz+TaY0o5piKTosw9kwwjvgj3vt/Ok1t6CcclzpyZww3HljE1Z3JC8HnIGx4p2H1caVmr1aYJVGazeZ/Fyf+B7OcQqXIxHBrIBoNB6uvryc3NpaCg4KBlBpVKddTKMOFwGK/XS2Vl5T5l6cONQ11MpBSV9idoAXuM7g8WoiBw1qxsTq1y8lLNEH/9sBNXIJa+UepUe0gpwQlCEDoVqESFnPJxBKh2l5Jd6UVlLMYfifO3D7v464ddzM63cObMbE6fkZVkViplb7fbvY/N38FmbTUqkQvn5XHOnBxe3DnIXz/qYjQQS75HpeQdTUgkJMjQq/mobRSVAKdNs7G9L8ADH3WyPE9FUGVme4+HDR3j1A74uPG4Mh7b3MOv3mjGrFdz8nRlIXPtylLMehU/X9WEDPz4pXpAYfQ+d91iLnpgM19/cifPXruYxWWZnF+dx4s7B9CqBHrdEd5sC1E9d8/xXzQ/nx+/3IAo7Okvr2sb5bYzp6UVplIkf284xtXLivnZqsZJmWxNkjl8+znTAXgp6Rwzy6lmy6ACNEvLMglFE2zrdqPXiFx/4nSah/081zrAsRV2zphq4euP7aDPHSfHpGLIG+f3F8zglufrJ51vh0nDCzcsIdeqVB9e3T3Iba80oBUhKsFVS4vwhOL8+OUGdEnz+GXlmVy5pIgH13WxuXOc4kwDU7KM7OjxoEn2MKdmmynONPB24wib9rOSM2hEnvjqAmbkZdDuCtDQNUCbJ44AeMJx1CoRo1ZFMKroQn/juDIumJdPNC6xavcgd73bpmg8q0WOqcgkP8NAz3iQN+qGiCXkdN91eq6ZO86dwcx8K1u73Hzp4Z2K5GOxhatmG1k6o4y6zgFeen07NUNRGsYkAjHFEWp2gZUbji1jRYWDuYVWNHsJRgx5w/x9bRfPbFMkH8+ek8v1K8uoyNp/uVmSpE/kxnUkkUgkjgqwH6i03NbWht/vT2stp0rL/weyn0McTrl4eHiYzs5Opk+fjtX68bNjR4v4lNqvTqf7xACbOq6DZbKSJNHW1kY4HD5opn44wv4alcjF8/M4e3Y2T28foMMVxKRT8cy2AQRk8owwEt5juB1JAAkJrQiiStxvKW/vCEuwNamxbNKKVGSZcIdi/HZNG79/u43FJRnMtcVYWWZhzpw5+3zJD0XQQqMSuWRBPufOzeW5HQPc91FXmliVWm75I4qpvEmvYnWTm2yDwJwsNev642Sbg1w0P5+XawbwRxLc+0EHX5idQ/tIkBuf3MXXVpTwnZMqUKtEvrioCKNWzfdfqEsDrQBcMC+fv10+l8v/sZVvPrWLR6+ez8+/MJ0Pml1pss5ju/3ccHoMm1G5eZ4xM4f/faMZi07FsC+CKMCGdmVsKJX9RJKWfN5QfB/FJ4BdfR6KMw0cPzWLfnc4PQ/tj8nYjRr+dvlcHlrfzV8/aCcck3j4y/MIxyW+82wtdqOW314wi1+vbqFxLM6U5Jzo/yzP5Gev1E1qEZQ6jDx/3WLMeuW6kySZIW8ElaDIXl4yP5cXdg8zGohy3TGljAWjzC6w0jDg44YndmI1aPjZWdPoHg/xr2QvusiupzjTyNq2MeqSI017PlOQZYH8DD2PXrMAq17NM1v7eGpbL3X9EdQiWA1qxoNxvOEYJ07L4qL5+VQ4TbxZP8zNT++ifkARNllQbGNRiY0BT4SPWkeJJWSyLVqK7AbaXUEcJi23nlbJmbNyGAvEuPWFOl6qGSAvQ8edF84iEfbzZquLOzftSpfNc606Tqg0UWWHYm0Iu0nA6RRxZqomuST1u8M8sLaT57b3Ictw7tw8rl9ZSonj4HP6n0cmeyCVqU8ae5eWU1rLO3fuTAOszWbb5z3/V/RkP68wm834fMqX7kAgmwKdUCh0WCbnn7Qnu/d+d+7cecTbmhgHA9loNEpdXR2ZmZlMmTLloBffkRCo9BoVVy0pTP9+VrmWf6zr4oM+ibgEx1TYaBoKMpIcM4hKgLSHKJWfoaPQpmd7jwe1SkyTqPaOQFTaI4uoESmy62kc8LCxE/65O8RxDQnOmpXNyorMtLD63iD72OZeVtUOk2PVIUkysYSc9u2MSzLxhEyWWZtkpirgCnK61O0JJ7hiUQHr2sfZORykIgMC8TjPbe9nXq4WT1SgfSzCqt1DFNv1nDojiwfXdbGrz8sfL5pFlkXHuXPzMGpV3PTULmWuNJnRXjAvn99dMIvvPLubLV1ujpni4N4vzuWL/9iKICiLlV+90cSdFyqMUZNOzZmzcnilZiA9ttM8HGDYF6EkWVIPRJTFgicUm6D4tOdGVNPrTY93vFariDsU2XQ0jka44dhi9BoVjYM+/JEEKgGWVTi49YU6useCPHL1Ap5MikKUO420uoLcfk4V/9rYjXtCsWdapopb5kl0tTXhdDqRtGZue7WJtW1jHFfpIBYKcN/6fqZmm/jrF+cyPdfME5t7+cOaVgLRBF9aUsQxFQ7u/6iTbd1u8qw6ih0GtnZ5aJ/A5gWw6lWcW53Hs1v7Kcg0cNsZU3ngo05erhkgEE1g1atRCwpHINOk4/qVZRw/1cmWTjd/X9vFlq5xZBlm5Jo5Y2Y2Ln+U7T0eRfbSpueKxUXEExIv7BxgPBjjhpWlXH9sGcYk6zkQifNWwzBLSu1IsswPX6ojlpDRqQQWl2Vy2cJCjqnIpCJrMqM2HA5PytZCook3uhKsbvYgCMq1cd0xpYesafxpAd7B4rPIKAVBICMjg4yMjHRpua6uDp/Px8aNG9Ol5czMzEm6C591/FeA7MEy2XA4TF1dHVlZWR8LOnvHJ2EXRyIR6urqcDgch73fj4sDgaPH46GpqYkpU6Yc0kV3pML+oHyxW1tbkaJRbj1tKpePuPlgSM1TW/sJxyRWlNsIRCVqepU+YGq0o88ToS9JNso0qalwaqkf9KMWBRIJeR/JPVDmPpuGlaxArxYptOvZ1OlmTaMLi07FKdOzOGtWNuUWaHaF+UddI/OLrPzl/U6CMYmGAT9WgxqnWasICqhFdGoRjUoZuyhzGhGR8Xs9jIfi9IcVEowAPL6lj6VlNo6tdPDMlh4kBBaVZLCj241WBXOzRHaNSPS6w/S6w5wxM5v3mlycf/8m7rp4DgtLbJxSlc3vzp/BD1+uRxDghy/V0zEa4JaTK1l98/L0zXR+sY2L5ufz3PZ+zBqBVbsHuWZZMTOTij1XLC6kJNPAn95pSzO6N7SPcc6cXIxaVVrK0B2KEY4lUItCuhQ56Akz7IswtzBpIp8E4SyLjn5PhMsXKwunuqQa1GULC3m5ZoCXaga48bgyYgmJu99rpzhTyehuObmCJzb3pHWEAc6clc0fLpwNyLjdbl7f2cNd60eIJODMqRY29nrwhOJ8bWk+3zplOps7xzn3b5toGwmwoiKTSxcU8PyOfh7d2EOmSUN1oZVdfV4GvJNbNnlWHd89eQrnzM3DF47R6QoyHoxxzaM7UIlCOnuPJSRWFun44oop+GPK+fzD263EEjJFmQaOq3TiDsbY1eehftBPcaaBry4v4bSZikTkHW+20Dka5LhKBzedUI7DpKN+wMvGjnG2dbmp7fcSjCbY1DlOlllLnlXPiRVmzptmpLKiglBMIhhN0DkaJBRLEIzu+ReKifSMWXi/OUL9wCiCAGYN6FXwpWkqjHIISdIdUoaaSCT+K+QN1Wr1JBODUCjE6Ogovb29/weyn2ZYrVY6OzuBfcEnRY6ZOnUqNpvtsLd9pCA7Pj5OS0sLlZWV2O1HfzB87/eZYiwPDQ0dlg3fkYLsxGy5srISt9uNVSvw3RPLuXpJIY9s6uPJrX2EYxLHVWYyFojROBwgEZcodxrJNmtoHQky5IsylCQhpbKzuQUWCmx61raNT9K/TUU4LtE6ogCuTi1iN2p4vW6YF2oGcZrURGMJvFGZVbV7RkgkwB2Kp8vC84qs/P3yOelZRb/fT319PRUV02hvb2fhwoW80zTKPR900uYKsqXTzcYON/OyBDIdDt5pHCHLrCXDoKZmJMj0bBNjgQjDgThv1A1TblcRist8+Z/b+P6pU7hqWTH/2NA9qaT6wEddlDtNnF89uX3ws7Om827jCGPBGGadil++1sSTX12IKArMyLMyI8/KmoYRdvV5MWtVrG8b49y5eRRnGhhNqhB5QnFCscTkLLZPKcPPTQpZhGJKttow6GdZgZZsi47NneNp4/MzZuVw3eM7WVhi4xvHlSHJctrc4CvLi3m5ZpDWpLKTKMBXlpfwvVMrlc8oJnHvhmEe2zzClGwTOWYtrzePU5qh5vrpkGX0c8O/trCu00dxpoFffGE6mzrHufmZ3Vh0KqpyzDQO+RkLTBaSqMxSGMdLk0YCf1/byQMfdeINxzFqVWkiW2W2ifOr87AbNTy9rolvP99IMJrAYdKyoNiGNxynYcBHT9J15/qVZZw+M5tpOWa6x0L8enUz7zW5KHUYsRnUfNAyOknsYn+Rqty8Wh/j8e0uYlLXQZ+/d8gyeKPgBdQGc9p03WAw4HQ6cTqdB5R3/Twy2c/LS3YiuBsMBgoLC4/aBMiRxn88yE4kPqVWc5Ik0dHRgc/nO2QVpf3F4YJsynN2dHSUuXPnHjXLvb1jIsimhDQEQaC6uvpT/7Kl5nsnmtZP7O1mmrR858Qyrl5ayKObenliaz/BaIKTpzmoyDLx6u4hNnYGmZln5paTyglE4rxeP0Jtv49oQqamz0dNn49Mo5rqbA1mrUCHT0hnvxMjJSwBimatShDwRve/aMg2aynJNFA74GNHj5cz7t3MRfPyOLZIjW94j8pXe7tiXXfydCenzsxlVe0Qd7/bxrAvwm6XjDDm4oyZ2bQMB2gdCXBcpYMdPR6C0TjVhVZ29nrpGE+gVycosQr8enULa5sGOHVaJo2D/qTogopQTOKHLyql44lAq1WL3HXBVL78WB3hmMTOXg8v7OznovkF6eecND2LXX1e8mx61rWPIssyJZlGGgeV8ronFCMckyb1Y2t6FT/UqlwL8YTEKzUDlGeZaBkOcEa5jlhC4perGlCLAnMKrPz6zWY0KoE7L5yFWiVy/4cdbOlyc+G8PNY0DKeVkKx6Nc9du4iS5Axo85CfW57bTfOwcm529XnpGg3yrRPLuXxRIXe8uJXXdnpRC3B2uQZPJMYvXmtEoxIodxhpHw1Oku206ERm5ln5zsmVlDmNJCSZYV+EnvEg61rHiCZXLlqVwKULipmZb2Fnj4e73m1jLBBDr4ap2RZCcYmW4QCjHVEqs03ceHwZp83IoTJ7cin3+y/U0TTk48RpTmIJid7kyJMoQI5Fh1mvJhJL0DseZuKtXacWOG1GNvOyRBqHw+Q47Ri1KgwaFb5wnAFPmJ7xEB2jgUkqUin3HqtezTlzcrl2ZWmSLJaPLMtp0/WGhgbC4TB2uz1dIk1xLf5/Yhd/Wvv9v57spxgTy8WgXHA1NTXYbDbmzp37iU7+4YBsLBZLrzyrq6s/1Ys+dVwpecT8/PwjJlQdzvlJyU7uPd+7v3lbu1HDt04o46olhTy6uZcntvTzdtMoJ01zcO6cHF7ZPcwPX2miKsfM9SuLOb4ykxfe3URL3Ml7TSMM+uOM7Rm3TM7iCsq40H40XqMJmSH//iX0VKLAsF/Rmz2hMpNSh5Ft3W7+8kEn9wJzCiycnBhnQXGCPr9EnjuEXq3CbICzZuVw5swcGod89DTtZr03kxd29mPUqjhxmpNvnViBw6Tljjebeb12iPwMPQatiE6ton7Ax8xcM+u6/LQMByi1CnT7ZHyRBFadCn80wQ9fVMhQ500A2pl5Fk4p1bOmM0ymUUOOdXJl4tKFBTy6sZvZ+VZe2DlA20iAIruBdxqV7N0dihGKJYgmJO56p41vn1TBrl4PVbkWtGqRD5pdjPijSLLMgiIrZTYVj2/qoSVVIdCo2N7j4d4vziEvQ8/TW3v54zttnDw9i3Wtowz69sj6PXr1AhxJ1vfjm3v57VstmDQq5hVl8EHLKLPyrfzvuVXUD/j4wr0bGfFHOXW6g/daxni1Xfm81CJE4jLto0H2Dl9EYmOnm0sf3LLfz7a60MrScjuhiMTq+iH+uaEbrUqgzGnCqtfQORpkV7+P6blmvnViOafNyNmHpesJxdjQPsa6tjEaBn1E4hLvNrlQiwJqUVGTisYlpWydHDVK0es1KgGHSYvNqFRntnWG8UUSBOrcTHEa6fdG8CUrMla9ijKnCb1GRbtLEfNfWp7J5YsLOWGqcx9bOkEQMJlMmEwmSkpKkCSJ8fHxdD9XpVLhcDgIh8P/FeViUGb+D0Tk/Lzi3+toPoWwWCzpTHZsbIxQKERlZeVRqdEfKrs4ZSpQWlq6zyzqxEiB0ScFYFEUiUQi7N69+5CZ0p8kUv3XaDS63/negxGobEYNNx+fBNtNfTyxtY93mkY5YaqDc2dns6p2mG8/V8/UbBMn5wl8/ZgsioURfr+VSZmCMourgKtGVIhAMuALx/dRnNo7UsLpkgzvtYwhNY+hnqDOs7PPx86+CYzV9ZNv6CpRUGTzSGA2jJFv0+MOxni3yUXdgI+bTyjnzgtnce7cPH6xqpF2V5BLFxSwpMzOwxu6yTZrCcdlxoNxBAGcBhWuYAKDGsJx+EEyo00BrSAIXD3XxE6XxIg/ylhgchZvN2r56H+OZdAb5oWdA6xrG6Mk00hcgoevmses/Ax+lCThbOtW1I8uWlCQZrKmFgmjgRg/Pq2Ccf8Ad3/QTqFNz4A3wob2Mb60uJCTp2fzRt0QP1vVyOJSO3X9HlzJEu7CEhsPXFGNSafcYrZ1u7n99Sam5ZgZ8ISpG/Bxy8lTuHJJIVc/soOdvR5m51uZ4xRZ2zZOLCFj1IgEY9KkMnqWWcPSQgNuX5DBgIQkqPDHYCwUTzvaTIydvd60qQEo2BdNyDQN+ZmZZ+HiaVquOamaipw935F4QmJXn5d1baOsbR1jV58ys2rUqjDr1GhVEqFYQiHHSTImrQqnTY8ky4z6o0QTMhadmrwMHQlJZiwYo20ksM/xDfoinDkrhxm5Zkb8Ud6qH6Gm14tFr+ZLiwu5bFHhAVWg9heiKKY1gUHhfaR6kjU1NWRkZKRLy59WFS0V/w7l4n+X+I8H2RS7+I9//CMrV67EYDActT7ooYy4DAwM0Nvbmy43ftz2PunFKcsyPT09hMNhli5d+qk6XoDSf62trcXpdFJZWbnfFfOh9HYzDBpuOr6ULy9RDOQf39LHe80K2J4zJ4dVu4d5uC7KTEcLFx47j4tP0vHU1j7+vr4HTyiOXi2mNX5jEpP0jHOtOqw6FQPeML7IvmCfuvkJTNBY3utwBRQxjUBUSjv2zCqw0jLkR6USCccSjHv9iCJE4zIalcipVQ6GfGF+/HIDD2/o5vZzqlh141L+/G4b/9rUg9Os49snVvD01j684TC5Vj39njCuYIKTp2fxduMIRrVAMC5z64v19Pf3c/GiEnQ6HWpRscq74P7N/OSVRo6rdGIz7vmsVaJAgc1ASaaBDe1jXLWsOP1OLHo1oZhELCGxLTkSdV5SKMMdjPFO4wh2o4ZMk5bjKx3c9Fg70bjEtceU8pvVzZRkm/jeKVM4928baRryk2PR0TzkJRhVQOfsObn8+rwZk+Y7i+wG5hZaqen1Ul2YwR3nzUhnjEvKbBTa9axrG2N3MEa2RUsoFt3HcGJFeSZ//1I1KpXImD/CH99p5fXaIQLJ+WujGuKyMqea+hwNGpFoXEozwmXgkvn5XLeylKJMIxs3bqTUaaLPHUoLQWxoH8MbVmZnC2x6yp0mhn0RvOE4wWiCIruB08uyWVqeSbnTxGu7B3lqay/+SIJsixaVKOLyRyaRvoRUpUWSKbXr+OW5M8k0aXlySy+/W9NKIJKgKtfMr86p4qzZuWmG8ieJ1Ejg0NAQU6dOJZFI4HK5qKmpIZFIHJaS0uFGIpH41IH8QPv9v3LxZxwpE/BUebi2tvaAItKHGwf74FKqUYlEYpKpwMEiVeY90mNLlaSNRiN6vf6oAOzBwDHVf/04tvLhjAJlGDTceFwpVy4p5PHNffxrcy/vNY/yjYVW7FKIFYv3nMurlhZx6YJ8ntsxyD/W9xCOR6lwGsmxaqkf8KeBdtAbYTC5fa2oMGZDcWkf4szEdyoKSj8sPuHmnLqZq0WB1pEA9YN7eoNqUUCvkslQQ4ZBjVGr5qplxSwoVkT673q3DYNGhUmn5kdnTOMLc3L5ySsNPL21j6e/tpDfvtXCqt1DZJu1DPujrG8f4wenVfKb1S0YNMoo0583uRFFkVnmINFolHKbjUvm5fL0jkG++dQuHvvKwn3O5/IKBy/XDPCj0xVt4u6xIMvKMwnHFLEFjTj5Gn6tdpBYQmbYF+WHp09lR6+XdX1Rrl9Zyut1QwD88aLZ7Oz10jyk+PQOTmD3fm1FCbecPCVtySfLMi/sHODXbzYTS0j88LRKrlxajEpUVI5e3DnAK7sGGfBEcJiU0bkRX3SSYH8krrzuqmUKoervazvTpKqUBZ9WJSbnY2U0Imn/4FBMsbPL0CmOOz89cxpXLCkiEInzfrOLZ+vC/GzzprSfboZBjd2oQSUKjAdj9LrDZFm0HD/VydLyTJaU2im0G+hzh/jFqkY+bBmddN2k1MKsejWz8ozk2wzUDfjoHA0yPdfM5bNMLCnN5La3O9jYMY5KFFhYbOOMmdnMLczAYtAQjUtoVcI+5eEjDUmSUKvVmEwmrFYr5eXl+xXpTykpHQ3/13+3nuznGf/RILt+/Xquv/56DAYDd911F/DJgexQItULPRTVqInxSSzq9pZH3LJl/z2qw40DlbD7+/vp7+8/JH3lI3lfVr2arx9bwqXzs7n7jRqWlViIeqP7fIH0GhVfWlzARfNyeWb7AA9t6KHNFWRpqY3z5ubiDsV4v3mUbT0eYgmZqMQkklSGXoVKJTAejDNxPSHJk8vR6fMBaQWriRGXZIIyLMo2cfMJFcyYYIR9+swcTq3KnuQFO6cgg+euW0yfO0y2Vc8fLprNcVOd/HxVIxpRIBhN4A7GuOeyOXz32d1p5SwPZubPn059fT2iKHJ2YZjV9bCly82/1jZx+bIpk87R8vJMntzSy5AvglYt0j2mEHUuWVhATa8nPUOcihFfFJtBQywhce7cXL700FacBpEss5ZNHePccd4MEpLMzc/sItuiYzyg6D0DfHFRYZpBDIp4wk9ebWBt6ygLS2z877kzKHUYkSSZ12uH+PO7bXSOBrEmRSlSix4ZqMwyEk3I9HvC3HpqJdu63fzxnTYiyWqFw6Qh26KnbdhHy4SMEZRKhkEjUp1v4pRSLa/Uu9k5EuPS2TbG/UG+/M9tbO9xKwpNAmRZVGltYk8ojoDAkjI7S8rsLC3LpNCmZ337GGsaRvj72k76xkNptjsofIBCu4G5hRmcXJXNsVMc1A/6+MOaVl6rHVLGqi6ezekzsmlvb0OrUXqvKyoy+dM7bWzqHGdT52TTAlDeg1mnxqxXY9apsejUWPRqTDoVFl3yseTfzHrl77IsU5FlJN+2h2m8P/Wl/fm/ulwumpubCYVC6dKyw+E4IrWoo6X4dCTxeWat+4v/WJC99957efrpp3nxxRe55JJL0o8fTeec/UVqLOhIeqFHemwpI4MDySN+kti7JC5J0iRd59+taccbSeA0a9CoREXMIa4IOkQTErGETDgWZ8wdwFC/m7gkE40rf7tsQT7nzc094L79fj+t9fV884QpOJ1OtmwZO+Bz9RoVX15SyMXz83hmmwK2P3i5keXldr55fCkzcs1sbnfxxo4ONg7K6dEgT3jf851idO4vDlb0lmR4r3mU95pHKbTpuW5lKefNzUOnUU0C2FRoVCKlE9R6zpmTx7wiG997vpYdPR4+bB3la8eU8ug1C7j+8Z1I0QQPbejGohNYZlNRXFxMcXExDxd4OP++Lfz2nR5y4yPYzXqcTidZWVksKbOn1Z8KbXq6k2yxc+bk8YMX6yaN8YAClH9f28kViwt5eecArSNBblls5tKFhVj0auYX27j8oa2IgsBYIEo0aaiQkVRhAiV7fXprH79b04Isw0/OnMbliwoRBPiwxcWf3mmjfsCXLon6I3s0r2c41dx4QiV3rOnA5Y+ysNjGb99qARSGcLHdwHgoymgghjcUn6SBrVeLLK/I5GvHlLKg2Ea/O8Q3ntxFw0gCo0bk6d1uwI1ZAwaVQCyhVCo84TiLS+0sTYKqUaPijfoh3qwd4u5323GHJlc8bAYNRONEkzKKNoMGtUqkzx3msU3d3PFGE4PeCEatirNm5XDCtCxsBjUNgz7GvFHUBjl9rk6pysYXiROIJPCF4/gicfzJn4FIHF84jj+SSP+eKlv7wrEDCrWcOM3J3y6v3nNdHkILymg0pq8nSZJwu924XC46OjrSvV6n00lGRsYhgdjnMTa0vzjSOf+jGf+xILts2TKuvfZaNBrNJOD6NEA29UG2t7d/orGgw834UoSjSCRyUHnETxKpY0rpNNfV1eF0OikqKkIQBJ7eMUBiwiELKCU8tSgoog4qQbmRJyQyxDhatfK4SafCcJC+0/DwMF1dXfvtZafO9/6+7AaNYkl38fw8nt7Wzz839vKlh3eyotzOtUvzuGS6gXUDezIflbCvHd+hfgITfUgnhihArzvMT19t5FevN3PGrBxuOr5skrj7gaLIbuCxaxZw/0ed3PtBB+f+bSP3X1HN019bxNf+tYN+T5g/v99F91QD1dWKhVdVXgZfXlrEIxt7eLhdz98vm4HL5aKpqYlQKESFXcMHTUMU2w10JTPZaFzRYd77M3hiSw8JWebMWTl85V87WFFuZ0GuMjq0osLB5Q9tJRCOE0n2OY+ZksnG9nEunJePIAj0jIe47eV6NnaMs7TMzq/OnUGR3cD2bjd/fLuVLV3utIl7KCntWJJp5LqVJRxXmcXLH27nf15qIhKXkGTY0eMh16ojEksoQiCecBqcY5KMWadiebkiVLG4LJNt3W7ebRzhF6saaBpSPufUtZjSyY7JIrNzTVRlitji46DVU+cJ88Sm7rQYRSo0KoEyh5HqogxOrcrmmCkOtGqRl2oGcPkieEJxPKEYA54w9YM+XP4oQvJ1wWiC12qHeK12aK9PuR+1WEeGQYNVr06XxId8Ec6dm0upw4TNoEGnEpNeujGi8QTj8QQjfmWf+wuVAPk2PcdVOiY9frg8D1EUJ6kkRaNRRkdH6enpoba2FrPZnCZQHWjm/t+tbPtf05MVBOF04M8onrIP7r3KeP/99zn33HMpK1M8Qy+44IK0Qfubb77Jt771LRKJBF/72tf4wQ9+cNB9zZ8/H9jjJZj6qVarj5pzTvI9EYlEaGxsxGq1fqKxoMNZAExUjDoQ4ehoRApkR8fd7KxrwpFXzJhoorN1DE84zjmzc6jp89I7HiaakJFRDKjjcTlNRALFySXDrJCQSjONlDgMFGbo8YXjbOtx83LNEE6zDlGAkXEPvlAUtd5EqLE1rYLjDoSIvb+OUDTBR99dRobhwGUso1bFNcuUnu2TW/t5eGMPVz8xztxsNSdPzeKN+mE84QQSpMvEDqMatSjiCsb2Owa0d6SeYdCIJCQ5XUJUi0L6/9GExMs1A7xcM8DUbBM3Hl/OKVXZBzXlVqtEbjy+nBUVDv70Tiu5Vj0WvZpnrl3MdY/voLbfx5rOMD8Mx9Pn4AenTeXNuiG2drlZ3+nj5Bl7spLlY3X8a9sQx2kidLoSdHR0IOkV0Qmzds8tIBxL8NTWPk6alsX7zaNE4xK3nlJGYLATbyjG1x7bwaAnnCYWnTs3l4XFdta2jnH6zGwe29TDH95uRRDgF1+YzqULC2ga8nP94zt5v9mVZi+nZldn5ln4+nFlHDvFwbq2MX76agNvNyp9bqdJjSiIDPujDHkj6cVAXJKZkm3itBk5nDI9i3BcYm3rKI9u6uGbT+9KWy1OPL+yLFOeZWJpWSYlmQae3dbHiD9Kw1CUQFQE9sylmjUwLVPDinI75y8soSw7Y7+fUYooBvDoxm5e2NmPIAh8ZXkJ160sweWP8m7jCCadGq1KwB+J4wpEaeoexhMTGQtJjAaiaYGQVDy5pe+A10UqUoYVqf87zTqKMw2UO43YDFq84QRPbunFolPOWfdwjOWf4P6g1WrJy8sjLy8PWZbx+/24XC52795NLBabRKBKAeu/E8h+3uXjzwxkBUFQAfcCpwC9wJb6+npmzJgx6XkrV65k1apVkx5LJBLceOONrFmzhsLCQhYtWsQ555yzz2sPsN9JJYOjncnKskxNTQ1TpkxJU+ePNA41k3W73TQ3Nx+yPOLB4smtfXhCMWXsJ5ZQVuZhZXXuCcUZ8QYJrt5MIJY6hy37bENAEVjP1KiISzK+cIxIXHEUcZg0VOWY8Hk9hCWJ9e3jvF43Mun1KUnFidvTqUWM2gBWvZoMg5r8LCMxQ5TiglxM2snC6QcLo1bFV5cXcdmCPB7b3Ms/N3RTMzzAHKfI/Nm5vNYwxog/SrnDQIZBTcOg/5AAFhQbsnBMmlS2E5MsUhIyKlFAFBT2soCiJfytZ3Zj0qq4YF4+Xz+2DIf5wBWP6qIMHrl6Qfr3TJOGey+by09eruXDNjd/X9vJd09SSEaiKCjGAh928uNXGlla4cCsUyt92/klqLR6bAY17/W04YnItLQrNnuqRISRkREyMzN5pWYQd1Bx6JlfbOPE6U6K7Vpq+uD6J3bSOuxneq6F2n4fVy8r4genTeVr/9pBcaYBAUVLeUV5JrefM4NYQuJ/nq9l1e4hVMmbXMr+bVl5Jl8/roxci47ndvTzi1VNDPuU8qpaUEq4rkAc1YSPeGaehdNmKIzetpEAa1tHeWRDN/0eBSANGpFosqQiJ/e1pNRGdVEG3WMh6vp9PPBRZ/oYJoZOLVKSqfRUy51GdMSZ55QY7mhkqF1OZ20HKpWWO02cMyeXK5cUEYhKvNM4whu1Q6xtO3B7Y39h1asozTRS7DBRkKEj06zDqFHRNRpga7eH+gEv0eR1VZihx2bQIKPM8baPBKjt8xJJSOxdIdWI8I3zDutQDhiCIGCxWLBYLJSVlZFIJBgbG2NkZITm5ma0Wi0Oh4NoNPqZg5skSZ87oO4vPstMdjHQKstyO4AgCE+9/PLLcw4FKDdv3syUKVMoLy8H4LLLLuPll18+JJBNRSqTPVogK8syvb29hEIh5syZc0SyjHvHxx1bap/Dw8OHJI+Yes8Hizvfbp9E4hAFpVdo0IiYtCoMKok8k5qy3EzybXryM/QYtYrPbEJSMrVgNMF4MMZoIMZYMIrLH2XQG2EsEMMViPFRuzu5daV8Nyffwi++MJWu0RCdYyF29XrY0eNhPNkflVHkEcNxKe06AwozuCc8RoXTxONb+qhwmih1GCjONOxjB7Z3mHRqvrK0gEr6+XBAZE1Pgl1bBjl2SiYn23S8unt4ksC8WauUs/3hGKEkxdioVcZBUgm6P7LnszJpRWJxiajEBNCVSXn3iBMWEoFogn9t6uGxTT3MLcrgOydWsKTMfsDPKp6QWF0/zEPruxEF+MflM/nhs9v5+9ouBjwRfn3eDLZ1u3lgbRfzizPY3u3h92+18IuzqwDFOm12gZUPWxRP2IQxE2ehBajBYTUwOjpKc3Mz962PMCVTR5VTYdfOKcjA6w9w1xYfO4ZiTMsxU9vv4wenVXLN8hJkWWZqjpljpjiYVZDBU19dRK5Vy18/6OC5Hf2oRYGqXDONgwoL+fSZ2Vy/co+Z+L3vt/PAR53YjRoEIBhNpOeTQTlfKlFgSamdkkwDq3YPccebzUgyWPRqlpXZ+cLsXB5Y20mBTc+sPCvbezx0j4cosOnZ3OlmU6dy7Qkoi5TpORaWV2QyrygDVyDKqxvqGRcsdI8FeWHnQHqB9erXl7Bk2tR9SqUavYmI1oo7oaPPG6PDpSh7dYwGeX7HwKTP7UDthNTftGoROWmhCOANJ9jV72NXvy/dconGlRK3KChkQIdGRUKWGfKG0yS29DYFxVoyGpeRkq8psOkpN+1fhOVohEqlIisri6ysLGCPFZ3P52P79u3YbLY0gerTHif8d8qeJ8ZnCbIFQM+E33v7+vYtjWzYsIG5c+eSn5/PnXfeycyZM+nr66OoqCj9nMLCQjZt2nTIOzYYDEQiEQwGw1EB2Xg8TmNjIxqNhszMzKPm1XgwcYtEIkFjY2Pa0P3jeiwTe6kHi6+tKGJt6zitIwGCMWUVrFEp2f+QN0Jchm5fnF0jwwfdDihuODajhmyLjnmFGTjNWuxGNaFYgq0t/XQFVIwHYzQO+TFpVZw03QnA6KiRtrYglVNns7YnxBNb+qgdUCQGHSYtogDjwRjRhEzHaIiO0RBvJ03EQblh2YwaCm16pmYbqcwyYdaryTFr0+CV6l9rSPDTi5ZyS1Ti8S19PLq5j1JHDm98YzF/eq+DF3Yqwz6BaAJ/VPkszDoVWcmMc8AdIj5hv6mbaGq8RyUoN/NgVCIQTSCIe/rHqqSDTypzl4GdPR6uemQ7dqOGKxYX8fVjS/cZ3bjtlQZe3DlAcaaBa5aVoBIFvjLHyNwpRfzh7VYqnEYe2dhDmcPI36+Yx1/eb+fhDd2cMSuHpWV7Kh3FyZ5w91iQeBLxT5lZwPTp+axtHaXPv4PvH2vfwzC12fjrtgA7hmIU2Q20DPv59XkzuGDeHlGMW09TRoPGg1FW1w/z+OYeEpJMgU1Pz1iINleQyxYV8pXlxRRnGonGJd5tGuHVmgHWNAwnM7F4GkiqnGpOnFmIXqtmXdsYmzrHWd8+xvp2JVu9YWUpx1Q6mZ5jomkowPZuN8dXOqgb8PHSLuWzU4sCeRl6pmSZyLPqOW1GFkWZJlpG/DQN+qnt9/H8jn46R4PJsqt7UjWl3GnEFYgy2OKiczRIhytA83CEDpfEaGAU2KNTvDeQikKyJeIwkmHQMBaI0TzsZzwYw6ARmZ+r4ZzqIqqKHIz6owx4I3SPBWkfCdA45GfIGyYSl0lI8qSKiiRP1teeuH8xOX8ryyCIAufNy+Wk6VmsKHdg0KpYv349n1WkrOj6+/uZN28egUAAl8tFV5ei1TyRQHW02ccHUnv6vLPbzxJk93mne7/5+fPn09XVhdls5vXXX+e8886jpaVlvwyxwzlxJpMJn8+XBtlP0pMNBALU19dTWFhIXl4eDQ0NR02A+kDWeSkj+cORRzxUkP36ylK+vrIUSZap6/fxfssY7zYN0+pSynC5JhXziqzMKLBh1qr43dvtB2Q1BmMSQU+E/uSIjFoUMGhEhdyBzLxCCzq1SDAqMeAJY1CLeFwDjI6OpsliZ9usnD07h47RIM9sH+DlXUP4wnEqnEbOKpKYN2MKvZ4odf0+dvV76fNE8IbijAdjjAdj7O7f20tUIMukJVMbZ1q2iSyVmuyRIMWZBm5YWcLliwqQZZkMg4ZfnDWVry0v4ocvN7K734cALC6xkWXW0jDkp20kmM5NHSaFTe0KRNNEGVWyVzYyQb7RqFExLSlXuLvPgzeZrS8ps6ESBLZ3u5NqTzHueb+dD5pHuHp5CadWZaNVi0iSzNtJOcRQVBH1T137160sZV5RBm/UDhGKJbj3sjmY9Wq+fWJFMou0TDoXBTY9M/IsaFQiAx6FZXz2HIXd/dimHrLMWq48bgZatbLY+8lLu3mnzYtFAwOeED85IZfTpk7uUfojcR7Z0M1D67sIRhPMK7KxrdvNWCDKdStL+fLSIpxmnTLO83I9r9UOKYsPQemFq0SBpWV2KpwmwrEEHzYN8uf3OwFlcWPVqxlNjvaEYxKecJzfvNlMw6Avfd4L7QamZpsYC8T40pJCTpuZTdtwkKYhH41Dfl57digtXQgKuWxqtolyp4mdnSO4wgpQ5Vl1xBMy3WMhrnl0xwG/M4IAuRYdZU4jeSYRmyqGRQhTnGnAYLHyUU+c91rGGPBGkqCrJzdXT0KSqBkMsu7VVqB1v9vWJBnUJZkG8mx6BEHJZoPRBEOeMH2eMGPBaJpsKDNZRnRhsY1fnzfzgMf+WUVqNtdut2O326msrCQWizE6OkpfXx91dXWYTKZ0Kf7jxgAPJf4vk1X6sEUTfi/cGzAmjryceeaZfOMb38DlclFYWEhPz54kuLe397C0eFMmAdnZ2WmW7JHE0NAQ3d3dVFVVYTabgaPb4xVFcZ8FwJGOBB0uU1kUBGYXWMnEx3KLisyiuWzsDvB6TQ9vN7t5o3Ecq17NidOcHFNhx6JTs63Hw9rWsbSmbSrj0yZHeZTxgzgD3giSDO2ePT2qD1r3/F+rEjB9sI0MvRqHWUOuRU+hXc+sPAuldh0fto1TN+Dn3R6Jtwc66HVH9nHgsRs1OIwaDFpl3/5wAk9YGYHo90boB2pdirzefbu3p483z6qj3GlkboGVKdkmyhwGHr2qmiFvhAfX9/Ds9gEcJi3/c3I5KyvsvPzRTrxaB7WDAXb37bnR69QiepVMOC6n50ZFAbyRBFu63IACznkZSm+0aTCAOxRDqxKYlW8hEInTMRpid7+PW56rxaRVcdH8fK5YXMS1K0r54ztt2IwafvhSPY/kmLioQmABsKjUzs1P7yISl7jngw7+95wqDFrVpHnVVGhUIi/esASA219rxKpXp+dkf3F2FR2jgfTv937QyfO7XJxe5WB92xh/vWQGZaZYmrFsstpYNyjw2HbFEeiUqiy+fWIFTrOO57b3pUd+EpLM5s5xXtzZz4s7BpBRFl8rpzg4fVYOJ1Q6OOOeDaxrG1NYwKKcJvYEIgmkCQtsGXh+Rz+z861ctbSYIrsBjVpgwBOhechPXoaORzf18EjSyN2oVVGZZWJFeSZWg3KrG/FFqe338m6Ta1IGGkvI9E4U5hcg26KjzGGkIstEmdNEvk2PWadCksAViDLgCTPoCdM0KtMyLOAKeEhInknnXHkfcQwakQyjhgq7igyrBV84QU2fFym50NCoFDCNJWS6x0N0j+8pBes1IlqVomiWIo3p1UoPWpKVas8pVVmcOzePeUX7J2p91iHL8j6ZqkajITc3l9zcXGRZTme5dXV1RKPRtLmB3W4/okmJf0e1J/hsQXYLUCkIQhnQB1x2zjnnTHrC4OAgOTk5CILA5s2bkSQJh8OBzWajpaWFjo4OCgoKeOqpp3jiiScOeccf5yn7cXGwUZmjCbITFwCyLNPZ2YnH4zmikaAjGQdqbm5GkqS0W09ZdgaLbEF0JitNHpH3Wkb5qHWM12qHUYsC84usnFqVxUXzVEovqc/HkDdCMKZID84ttLKyIpMVFZmMdtSRO2UWrSMBmge91HUO4Zc0+OICnlCcQFJ8oXMshGLotW+MBgACqESlB5phUJOfoWdGnpkFRRlMy7GQY9WlSVEjIyO0tXdgL5zCcAhaRvysrevGLekZ9EbwRRK0jARpGQmyumFP+dmgESm2G7hsYT5PXDOPX73Zwg9ebmRxSQYXlIhcuqQQrVaLqFLRPR6mJtlT3tgySI83MWE7quS8sHI716pFBjxhBpL3YZ1KxG7SMOSNMOKPohaVbHMsEMMXSfDIRgUwqnLNSTC2csOxZdz5Vgu/Wh9hw1gN3ztlCidOy+LV3YO8umuQPneIey+bS6bp4NfLiD+KcwLpKseqI8eqyOA9urGbez/o4MJ5+fz4lBJ21TexrEph0+YXFPLizn7+8mYbQ/4YMxwi355vZkllBlkmAZNRw9XLitnS5WZ1/TBrGoZx+aPo1CInTc/ijFk5LCyx0TzkZ3PnOE9u7mU82XeXZZl8s8jxMwpZVJbJIxu7Wd82hkWv5pTpWTjNOjyhGC0jfp7c2ktgQk+8IENHboaeMqeRWEJiLBBn2Bemps9LTd/+rycByNDC1Hw7ldlGskw6DDo1KkFxcBr2RRj0RtjV52V18n3sXVSbyPQ1aEQyrYrFYUKS8YViuEMxhUg4cVE4PK6Q+zQiORYdJZkGsq16nGYt2WYdZr2KPneY2j4vW7rceMNx4gkZu1GDOxQjlpCxGNScPiOHM2blMK8wY79z2Klz+u8YgiBgNpsxm82UlpaSSCTS5gYtLS1oNJp0adlisRwSUO4PZA+Fl/Jpx2cGsrIsxwVB+CawGmWE56GZM2fOue+++wC44YYbeO655/jb3/6GWq3GYDDw1FNPpcdu7rnnHk477TQSiQRf+cpXmDnz0EsiE+3uDhcUw+Ew9fX1B9TmPdqZrCRJxGIx6uvrMZvNRzwSdDggG4lEqK2tJScnZx+FKlEUUYlQ5jAADortenb0eGkaUhiPm7v2rNzVIly7ophFxTY2dIyztm2cP7/fyZ/f7yRDC8e7eqnO0VKCixmLihkMibSOBLh8UQFTs03KeEAyo2sdCdA5GmJ9+xgdo5MVdhKS0gMNRKP0e6Js7fby6Kb+9N+VEQ6FVWkz6siq76LIrmdqjpkTi0TOXjkHq0FDNCHTMx6iczTIjFwzve6I0oMbUx5TiUqW+fjV83h+xwB3vd/Jj7vj1Ie6uG5FEd4xhZV77pxczq/Op6YmSm5RKR2eBDt7POzs9bCzx0M0CSICysJDoxIY9EQY8EbSkoRlTiMWnZp+j+LSYtWrybXqaHcFaUjKN764c4B5hRm8dN18/vjaDl5tG+ML925kSZmdSFzie6dWcve7bVz89y3cf/lcpmSbD/iZa1QiJfuZ2329doj/faOZU6qy+OXZ04lGwhg0Stn6rYZh/vxuG+2uIHMKrPz2wtksK88kFAoxMDTMsx/Vsq47yE6XjDciYdCIHDfVyXGVTkxaFbv6vDyyoZvvv1BHQpLRJBcO1x1TyuIyO3MKrLy3fithq4FfvtZInzuMSatYwb2wUyEVGbUqss1aCjL0ROIS3nAcbyhOnyeyX7vDVF/fZtTQMhxAECDTqCHXqsOoVTPq9tAzHmRbt3sfVrlWrbQ6DBoVZq0ao12VFoxIVTAmviQUkxgLRFGJAllmHaUOE9kWHU6zlgydgDYRxu/qw2nSUpRtJyc7C4fDsU/WdtNTNbzVMIJRqyhRhWOJ9HjcJQsKOGNmDvOLbQcdA0vFv4soxMeFSqVKl45Bue+mqnh+vx+r1Zr++4ESjn/XcrHwOa90PpOd33LLLaxYsYJTTjkFv99Pd3f3ITGTx8bGaG1tPaipe09PD2q1mry8vP3+/XBifHyc/v5+AoEAZWVlacbekURDQwOFhYVYLJaDPi81DjR16lTQmugYDSb/hehwBWke8jLkn+xkk2PRUuowUpY0rR4PxmgaDlDb7yMuKSvuZ746D4NGxbZuD283udjUNoIrJO/jiGM3avjlWVM5furBx5/aRgL8ZfVu1vXFCccl5uRbmJqtCLdHEhL+SILRQAxfWPFK3Y/y4T6hMKkFDBoVNoOGHIuWEoeRmbkm5hRaKbYbJ8kOjgai/PT57XzYE8WugxuX5VDtBI/Hg9lsJhwOM23atEkGFLKsAPmOHg81SdBtHNozJpRr0ZJh1BKMJuj3hElIe8qlF87L4+IFhbQM+XhwXSddY2FEAY6pyGS+Lcy5K+dz34cdPLOtDxn46VnTmJVv5RtP1hCJS/z5ktmsqDi8sbJ+d5i/fdjBbWdMRadREQgEaGlpQXCWccnftzAly8R3TqrgpOlZ6X7hz1Y18E7jCJ6QYo6+pNiCQxvH4w/R5oFObwIpSaibU5DB4lI7i0ttVBfZ0sISr9cO8eOX6wlG9yxYjVoVNoOaQCRBMJbYr8sOJDNSg5pMkxa7UYNeoyIhyQSiCcYCUYa84UlOPntHiskry/KkxdzEyDRpiEsy3qQZRWWOmUXFNmYVWMi2KFlolkWHWXfwvGXz5s1UV1fj9/sZHB7hL+sGyDOrmJpnZ3qhk+GQwNPb+tja5SYcl7AbNZw6I5szZ+WwqMR+SMA6MaLRKDU1NSxatOiwXvdJY/369SxfvvyobEuWZbxeLy6XC5fLla5wOp1ObDZbuiw9MDBAKBRKT6HAnt7w0SKnHiQO+MH8V4Dsz3/+cyoqKjjvvPMIhUK0trYye/bsAx+ULNPV1cX4+DgzZsw4qJtEX18fsixTWFj4iY+zvb2dvr4+5s+f/4nlEZubm8nOzt5ncRCXZPrdYdpdAXa2D9Iy5MUj6ekaD09iLmpVAiUOIzkGmRK7nlklWZQ5jJRmGtL2ZakIROK0uYLU9vtY2zZG83AAWYZh/55Be70KijPU5DusxBIyU7NNXLW0EMfHlDVTEUtIvLquhq6omfdb3XSMhdKlu4XFGfzpwhkYVBK1tbXk5eWRn59PXJIZcIepG/BSO+Cn3RWkfdBNGDWBaIJoUlXo40IlKqXfggw9WimECpnekApXIM4/vzyPJaV2AgE/u3fvRhAERFFMyxpardZ9KhGhaILafm86093Z68GVPFcplmtKBQggy6xlWXkmU7NNDHqjvFU/xLA/it2o4ew5uSwvt/PTV5tYVGLjjxfPps8d4oYnamgbCfCTM6fxxUVHfm2mQLa6upqPWkdZXp65z43+4gc2K9meTkW/N0zToH8PqOZbmO5QU2qMUWiIkevMxOF0ElWb6B4P0+lSFnW7+zzUD/j2Abkss5YRfxRRgEyTlgKbnilZZmblW9jQMcZ7jS5ie32IoqCcP5UoIMlK6Xd/s89qUUAjyKjV6rR1HShl33KniVn5VhaX2lhe4UCSZVb8/qP0a6dkmZTRqHxlPGp6ktz2cbFx40YWLVqESqViwBPm7Hs34ItMroQJQJZZzZzCDJaXOynPMlHmMJJj1R12VSscDlNXV8eCBQs+/slHMY4myO4dsViMsbExXC4Xbrcbg8GA0+kkFouhVqspKSlJP/f/TaXY1wABAABJREFUQPYzAtk777wTk8nEl770JaLRKPX19VRXV+/3ualSrclkory8/GNp5oODg0SjUYqLiw/6vINFqucbDAZRq9XMmjXriLeVitbW1rQ0WiiW4NS/bCKWkAnFEpOAxaRVkW3RkmvVUWDTU2jTU5JpSM/DjruG0WlUlBTkgSDQMxaiZSRA60iQ1pEAbSOBSWU6vVqk3GlkSraJyiwjpXYdMVc3BjnMsmXLDrmcE4jE2dnrZVuPhx09Xnb3+9KgU+owML/QikGrorbfR02fD61KYEmuyC/PmYEz037A7W7ZsmWfVX0oGqdzNMjufj/1g366xkIM+yJ4wnFC0cQBs5tUaFQC2RYdZlWCQoeZ5eUOTirVMTIygtfrJSMjg6ysrAOKrcuyIoT/1JZe/r62C6teTSAaT2dfs/Ot9IwH04ugcoeBLG0Me2Ym7zSOEEvIWPWKf+6am5djN2nxh+N897ndfNAyylVLi7j1tKmHnQXBZJBNhTsYY2v3OFs63axvH6N5SClna9Ui1YVWFpfaWVRqp9xhZMAbocOlzJF2uAK0DfvoHo9MOqcGtYBKJeKPJCgwC3z12EqyrXr0GuWxjpEAoVgCVyDKiC/KiD+Cyx9l1B/d7w0kQ68mK1mmzbLoyDJrcZq0WJLuSHq1iFqljL3sqG0kt6gMTyhKz3iYnrEQA94wo4Eo4Qks+je/uZShJGmqachP60iArtEggWTmLQjKtX/72VWcPXffqtYzW/vQa0V8fa2ceexidvf7eKNuiLcbRvCG45i0KqbnWsi2aAmGo3SNBuj3xohOyMB1apH8DD25Vh2ZJi16jcgvz646qFtPMBikqamJefPmHeIn/slDkiQ2btz4qYHsxJBlOW1u0NPTQzweJzs7G6fTSWZmJqIootFoPgsj9wN+uf5jtYsnRspTFg7eQ02Zqx9OqfaT9mQn6gEXFBTQ0dFxxNuaGBN7stF4Yp/5ulQEoon07OnBY9/jSmnCOkwaTFpl3MKiV6PXqIjGJRr6PWxr8pCVaSPkj7Er0Y1eq2i1Huif4hQT5PsvNaX3Y9SKOE0aLOoExQ4LWRkG9BoVBo3IqVVZzMrSsK3bzWhcR9O4TJffg0EjoteoMGpFDBoVeo0KrWr/3wODVk1VnpWqvAnG3ZLM5k43b9YP83aTC184gVkj8PVqI7l5ufR44/SMh6nIMjEajDHsi9IxOE7rSIicjDBfWlaalqHzeDyMjIzQ0dGR7j1lZWVhNpsRBAFBEIglZJ7a2sfUHDNPfnUhalGgbsDHyzsHeGZ7H19dXsKZs3NY1zbG2lYX0WCMP18yh/FglFW7BnlwXReD3gjffnY3j1y9ALNezV+/OJffvtXCIxt76PeE+culcz4xCWRXr4dLHtyStslL6RyfOzePhgEv3WMh1rWN8sSW3klWgoowgoEcq57yLAsmrRoBiWAoxI5eP0PBBFatgCso88vXm/fZr0qATLMWu0Gr9Kvz9RiSrFu1SkBAQEYmlpDxJhXLRvxR2l1BApE4waS1335jd1P6GAVBQJbkffSrT79n40HPiywrPdk1jcMkgEgsQTgmEYlLhGMJ/rG+Kw3av9y4JyPWqUXsBjV6jUi/J0T3WJBoQiIckyYBLCgZeaqdk4pfJgVHDhSfh3n6Z9kHFgQBk8mEyWRKe9jq9XpcLhdtbW1otVoWL178mRzLgeK/AmStViuDg8qg+oEIQSnrtlmzZmE0fryQeyo+Ccim+qGVlZXY7XYikchRJ1EBZBi0bPreCja3DvBhbRcjkolm1555VgGF1VrqMDDojdA6Epy0LbUI2qRYuUYtKl6XovJKGWU1GZdkXIEow/4oCUkmHk8QS0jIgog0OEY0LiO393AkEYxKBKPKsTaOjgPjB3omNzxVe8DtCCg3a9376xTzArWAQa1Cp1GAWKcWiSckXIEYA94IkbikzC2aBU4qtbBsWj6jQ31oRJmFxVZOmJaFQatCrxZRkaCx1sOcOXMwmUyTTAxsNhs2m43KykoikUj6BhAIBLDZbGRlZfHLN3sIROIU2w3c+0EHTpMWCZkXawbIy9BzxqxspmabmZFn5arF+ezcuRMAu1HLlUuLWVRq59y/bWJxqZ2e8RC/Xd3ML8+u4sdnTKPMYUItCkeFZTktx8xNx5ezpMxOsd3IN5+u4c26IeYVZnDXu+3pxc0JU51MyTZT6jBy1zuttLuC9IyH6BnfV6XIrFXhMGkwqAVi0SiiKCAjgCASkwVCMWVOdMSnZLJHK1SCAqxatYgoKNdyNC7xSfawun6E1fUj+zyuEkCrFtIiIGJyTjiaUICYCacl5WpUlWvB5Y8wOKGnrFOL5FvUZOkSOAwCTc3N5OVkT+pNTozPA2Q/Ty/ZlKxjSuL285B33Dv+K0B2Irt4by3jRCJBc3Mzsiwzb968w744jgRkDySP+En8ZA92XLIsMzY8gCU0xK3nLkz3mMeDMWr7fdQO+NI/9zYyByVjNesUw3GVKBCXZOIJBVhjCSn5UyaetLabnDAcnfezvxDYo3gzUXlHVt50cgEw+fG4DPFoIl3m+7iIJWTaPDJtHh8vNaaya/9+nzs3z4ijqw2dWpGl1GlUVBdmcOL0LDQqEa1ahU6no6CggIKCgrSl2MjICAGvm4QMmztG+aDFNamc2ucOc8H9ij9wSvZSI8hkrl+Hzahh5RQHJQ4jNx5XxuwCC199dDvjQWV8JNOk5fLFR96T3XsEQqdRcePxe4glD1+1gG8/s4v/fbOZG1aWYjdq+PXqFnrdIX54+lSsBo0iHBGX0uVbp1lHtkWRX3xx5wC+SAIhkiDDoEGDgMNqxqQR0QoJ1FIUrQAOi4XsTAs5dis2oxaLXo1Vr6FnPMQruwbI0Ksx65WKikmnxqRVcfd77fsI8Kci9ZYkWRG5kCZcJ6nrShY4cPZ7mJGQIRGfrOAEE1ygJjxXkpXvpj/ipSrXQiimkPpEAYozDcwpyGBuoZUZuSbs6igDAwM0NDSke5NZWVlpcYfPA/A+L5CNx+P77PczKBN/bHz+R/AZxMQ52YmRUlJKEWWOdFTmcEA2JY+oVqv3kUf8NMaBEokETU1NCIKwz/7sRg0rp2SycooivSfLMoPe/8fee8fHUV9tvN/Z3ou06l2WLNuSbblhY8D00HsoIaEESAIJ6b2R9r5vQnqBhBA6oXcIHWywce+2eu9ti7b3nbl/zO5KsmWwjRO4uff54I/EandmdnZ2zu+c85znibF/JMDm3kl2DvgY8ESIJiWiwQQEE6gUAqU2HcsrrJyzII+VlTaU6W1m+tkGo4myisoZwXhfUwulFRVICrknmQ3MopgO0FMBOxu8U5nnyM/rHJzAFVMwEkgw7I2SEOUblEmjzEo4WvVqJAn5taKY3W4i/dMfiqBUa0ik5HGhQ6lXHQ32joZhdGYV4LEdI0DrzM9GgBtWV8hEFkAhGDh7aQ3e7UMMTEb4QqOBeptIUGHit1u8eMJJGkstSAhMhhP4IwlCsQRDXlm0YN8h5kCve2AXeSYNuSYNDpMGh1FWKcrIIh4LGDRK7vzUYn70Qit3bejjwkWFXNpYxPN7Rznvzi1ctbwEk1aFpJGyI1MDngiiJJFn1nDZkmLWd7pwBuNcuLiQU61uVq9eOWMfoigyOTmJ0+nE4xlAI2lw6B3kWfKYV5jHJxbkz3psyypsgNwr1arlioNOraTXFeL2NzrxhuP0uYKEEnJfvdphZF6BCYtejVopoFYqUCngrTYX+SYNeo2SEV+UtrEgSVGi0KJlZZWd46tzcJi0qJUCKoVc6VGny9hqpSK7rfe63Pz1rVYGg9MW+dOCuN0gZ68nzMnhuCo78wpkMtVkOM7+YT/7hvzsG/bxdruTZ3bLI2s6tYL6IgsLS/KYp9MS98UYH28ikUhgt9vfl7T578JHkT3D/y9G8ZHCbDYfFGQzPbKjMVefjkNJIc6GTFAvKSmZdeTnwCz7w0ChUBCJRNizZw+FhYWUlJR84GsEQdZ8LbLq+MR8uSftdLloGnDSHzexoWuSjokgfR5Z2P/5veNZ4fW5eXrm6MJcvLyS2opiOXv2x+QMeSTA1q4wfRua+cFZNVy0aKZRuyRJ9Hsi5Ju12ZGO2dDliKFSqZiYmKBuXiM9Pomnd4/iDMbZNeinxyXyx8sWZDWRZ8N04tPPXung6d1yG0GtkFWvEAREUZI/B2GqHC4f57Fh6okS3LOx/6DH880aVlblcNceDz8/fx6nVeootqj48Vvj7B3yc9vpxVy0vAqVSsXu3bs57rjjEEV5VtQdSuAKxmgfD/KbNzoRJWgoNpNKl/Hbx4O4g3Hqi82zBtluZ4hvP9tEnklLrlGTDc4GpUhnfxiv3iVrAVu1Byv5KBX86pIFOEyaGe9rIhDjz+t6Dvu8PLNrhPVaEVvzNnmsRqlAnfmZCVgKCwIi8Q4n8dggUiqJXqfDZDRgNMhGEQqFgFIhoBTSPxUCSkEe1VGkx3XOqS/gud3DKASBixsLOb7KjkGjmnr+tNesnpOb3Z5CIRBNpNjU7WFtu5MX9soiIMdV2jm7voDLlhQfkmX85M5hRkOyrrNaIWRbEiCXgWvyZEZzlcNIqU2f3Y7doGFNrYM1tfJ1LUkSQ5MR9g772TfkY9+wn0e3D2XVoHKNGhYWm6nNTeEQnOQKQcLhcHbO1Gg0/lsDz0dZLv44zsn+fyLITi8Xi6JIPB7PClh/WGr34WafmcHq+fPnH3J29Vhe+JFIhJGRERYuXIjVevRSayqlkhKTklPnlnH9KlkVM54U2djt4Y02F3uH/Yz4omzuS7AZ+GdbFwqhKysDB2k9VrOCc+blUplrIBxPpVnBfvYM+dk37McbSXLnFfWsqZ19rjPjYxmLxcirms892108u2cMfzTJ4zcsIc+kYfegj7IcPT2usKy0lBSJpUTiSSmtvCTSOppkaM8Y8ZRIuV3P6XW5bO/34Y8mqSswcEG1mqX5ChbMn48gCCSTySxDMRNcRFGkra2NpCgyb578PLlEDbF4PD3P5yYUDmG2WHDkOrDZ7SgUSiRkIXdRkpBEKRvEJeQbu0mn5tbH9/Hjl9oQz5/HVSsaeLquji89tgezRqCpqYl4PJ4dY7DZbNgMGmwGDXPyjKysyuHkWgfXP7iLHf1e3vjqauwGTfYcZjJ3TyjOc3tGObXOQbXDiChJ5Bo1TARitIwG8ITiM2zhHti/J/u7Mt3HNGhUWHQq7EY1+SZZcen0Ogdvt7tYWGzmCydV8OOX2hEliR+fU8fb7U5SovzeZRnJcFaMA2QSXigOBGbPzA+NEBmHp6PB83tGeX7P6Ac/8RAQJdjSO8mW3kk+sSCfXNXsY2l/umIh7ft2subEE7KPjfqi7B70sXvQy55BH/dt6s+e98pcA42lVpaUWVlSbqMmz4gy3VsvyzFQlmPg/IXygjWeFOmYCGaz3X3Dft7pnDIyqMiJUpszQalhhFJ9ioWldooKZhfD+LBIpVIfq0z2o8b/J0Z4hoaGuOGGG7jvvvvo6ekhEomwYsWKYzI7lUwm2bdvX9Yk/kBIkkRvby+BQIAFCxZ84D5nGzE5EmT6vSMjI+Tk5FBbe7CG7ZHA5/MxNjZGXV1d9jF/JMHe4QD7R/zs6HHS5Y4yGZ36KKf3R7VKgTK7DkGMo1BqmIymcE6Tp7PqVOQY1dj0anKMahRpgYN4Wo4wntZrDYQjBGMikRRkKrzvZyV2pCgwa/CE4iTEKWODM+pyuO2c2hkBNpFIsH//fnJycqioqJixMMoEsclwAl8kgTsYY8TtZ9jlZcIXIpxUEBfUREUlvpiIN5xArRR4/curZBZyJJF2ZYnwz23D7Br08aNz5nLNqvIZvdFoNMqOHTuw2+14vV6MRiN5eXk4HI5seXDEG2V7/yQXzTJOAtA1EeS8O7fwh8sbOLeh8KC/i6KEN5Kge9TDa7t7EfV2xvxRXME4k+EEgZg83pRIHXrWWKkAh1HDZDiBKMGGb51EjlGDJElc+Let9LpCXLW8lNPr8tClbQT37G+mZu484imRde1OdvZ75WshOb3/f3jzzf9pKACrQYVWpcyy5WWioMya1ygVBP1eCvMcaFTCjMczPwVBXgCN+qOMeKMMTEay8pE6tZzt1hWYWFBkpr7YQo5Bc8A2ZMa/IAgEokne3d/LvmE/QxEV+4Z8ONPz2GqlQJVNTblRpMauYnl1HouqCmed6z5SuFwu3G73jHvGfwLbt2+nsbFxxj1WFEV0Ot1/omT8/+0RHovFQjKZ5JRTTuHZZ5/9txGMDkSmR2k2m1m06MOPT3wQMv1XpVJJdXU1fv+RZgQHY7Zzdd7fth9yJAhmBr5YSqLLlaFOzmSWKpB9YycCcdyhOL1uuRynRCD9HylJJBxNEhPljEFADtxKpYAoku3hHtF7EsiOAOnVSnQqASkRo7hQT0xUMjAZIRBLsb7by2O7xjiuMofJcIJxb5CW7gHURhvxsTjenS1Z9x9vmmgUex9pIbNWiU6ZQimICIBKoUAUlVx813ZGfNEZZKxLFxfijyb4n1c7aBr2UWjV0ToW5IsnV9FQZEKtVlNfXy8vqpyTRAOT7N27l1QqlSW/XLjo4OCZwXPpzC16QE86GEvy85fbuGF1hSywUGhCW2dk0aJ5dDtDVDsMB13H8aRIvztMjztMnyvI07tHGfBEOLnGgUmnZFO3B084kS1nCoLALy6YT55ZQ4lNJuj0ukJ0ToQwqGSDdodJwzn1BYc8/pQoEU2kiCVFIulxma29Hl7aP8blS4ux6jWE40k83gAurx9vIERKUKLU6FBqdCREgWA0jnMygFpvzG4jOmP0Jkk8dbBK2aEgApPhJKTNEBWC3ILIjAYJyDf91klnuvUgVzUkSX4/H7SbaELMtl8O9K49ENmesgBqJei1GtnVSG8gkZKIJUXGQim6PEneGkjC3kEUwiAaBdx2kp3V84qP2gP240R8+jjgvz7ISpLE3XffTUtLC6+99hpVVVU0NTUdM4LRoQLn0czcfhhEIhGam5uzdnher/eYvMfZguxJVVY297qRBCXBuPS+gUWRZk/OVjARkWf/ZvNEUqZvUBk1H71aQY5eQYFJTY7ZiD49/6rPBEvN7L8b1LL5uiBAPJFid1MLJRVzCMTljHPME2Bg3I1gtxBMQCicwKBWEE2IuEMJfv1mDzCzryjgxKJXYTeosevVFFu11BUYUafFHpKifE6CsRTeSAJPKM5EIE4glmK6EZ9FC7l6ESMRTihRYTVaUGi0BKIp1na4sguZ5/fJve85eQYmQzFSKT2BuMRTO4d5rXmczb2TPHbjco47bk7WTixjMm6xWLJCGNNvmMn0Z+qLzGSTt40FWdvu4oW9Y5xdn88NKwoQgEFPmHPv2EypXc8Z8/I4fV4eS8usqJQK/vB2N2V2PcvKrWzr9TDgifDNM2q4ZmUpf1zbgyuU4MunVFNo1WX303iAW8y6dhe3v9EJwP9sfQ9BgFyDmlyThlFfDKteTa5RQ6FVS6lNT7XDgFWvoiLHQEWuMWsl2D4e5LaX2rhmZRlfPLkas24qk49EIjidTlwuF5FIJC2FqWX5ctkQQ5IkelxhtvTIPrZb+yaJpnWny+x6lpZZaSixMK/AhEGrygbkaCJFJBugU0TTs7GRuLwIyPx/NCEy6nSjM1qIJmcG9WgyRTQukvqQlUW9WsGNJ1QQT0rEUyJur49ESkJQ6/CGE2mzgSSp1MEqWKIE0RQY7LmEQiEGBgaQJCnby7VarUct1P+fwGzOPx8H/FcHWb/fz4033khhYSF5eXnMmTMHOLYs3tkwOjrK0NDQEc/cZnCkzhGTk5N0dnZSV1eX7b8eq2z9wO1MTk5ycUmI753eiMViQZIkvJEk/Z4INzy89yCJuwOzAJNGyQ3Hl1LlMKZnKhXoVEqMWiVqhcAbbS7Wd3nYMeBDECTOX5DLZ1aVU19kzupE2xz5eDMZZCSJN5JIZ5RxesJT/++LTD1nxkJga8uMY9KrFWhVQax6FWqFAnu6xxlPpggnRILRBBa1xLc+MZe4KDDsi9HjCjM0GSGSFBkY9mc9T7PnLW2VVmzVsaTMRrFVS7FNR5FFR65RTTCepNcVoXUsSOtYgHcHg8SS8vyvAnkBUpunpybfxKeWl9JQbCYST/FW2wTX3LuVpok4KamVUpuOzx5fRo5BLpEdaCfm9/txOp309/cjCEI2yz2uws4Dmwfpds7sZS6vsPH2107g/k0DPLhlgNebJzihTMvXcxP8z4XzeavNyaPbh3hg8wA2g5qTa3J5t8uNNzz1/svsetzBGBfcuYVBb5QSq+yluq7dSUOxhTzzwYzXy5eVsKrazjtb95JTUsX+ET9r250o0wutYW96xnbo0NeqUiGgUcqZ432bBnhw8wA1+UbOri9gaZmN+YVmysrKKC8vRxRFhoeH6evr48/Pb2SvW6LdI+KJyPeFYquO0+Y6WFllZ2VVDkXTFgjvh+nf3d+/1cX+ET8XLiri7PoCjBoFW7du5fjjlx/y9Ym0EMX0gB2OJxn3x+l2BulzRxj0RhiZjGRn0jPQqRRU5BqYW2Ci3x1Jm13EGPEn8ERmVrXyzVrqi43pRYqBylwDFTkGynNkoReAmpoa4vH4jEWb2WzOBt1DMZc/Knbxgfi4OBD9V/dkf/Ob31BaWspVV13FkiVLWL9+PYIgHFLX92iR6aOKokhnZyeJRIL58+cf1Wpu586dWau5D4IkSQwODuJyuaivr59x0R+JEcL7IRaL0dbWxqJFixgaGsLpdB60r+mIJlL0eyL0usN0O8N0TITodIYY8UZnjCuYtXKGGYylWFpqYSIYp8sZQpTAqBaotCioKc4hlgJvRC7HugJRAjGR2PvIHFr1Kmx6NVadCqNWmVUEArkk5/T4UGr1uAMRPJEUh6p6a5RCulwtkRIPfaHWF5kos+tRKmSZvkAsRZFFy3kLC1hZaccbSdA6GkgHUzmg9rnD2cWHRadifqGJ+YVmynP0rG138V63B6NaQShdyr2kTs9QSMGukTApUcKkUVBqN/DzC+qYXzCTKRpLSRi1csA9qKybJmVNTEww5Pbxqx0pLl+cx5fOmD8r+cUTinPXO508vnOUhAgXLS7i5pMqGQ/E8EYSvNXq5J0OF/5oEqVCdkfKNarRqARGfXLvT0DuJUYTYvYcFlq0NKQ1fxuK5X+29CIho3m7vtPF955rYTIc59PHlfHV0+agVgr0ucN0TATpcYbYO+hj2BfFG0kclvxlBgphqu+uV0JMUhCJpyi3qVlgh6UOiYay3GwF4Ei+x79+o5P9wz7W1DoIxVK80jRGvyeCVqXgtDoHC/QBbjj3+ENKIUbiKTqdQTrGgzSlbfpGfdGsHSDILkIFFtmMQBAEQrEkzmCMiQOEOhwmDQUGBeV2HfNLc7PBtDzH8L4s/kMhQz7MVANSqdSsQv39/f0olcpjoud+JDhQLzkT2zI6BP9m/Oe0iwVB0EmSFP2A55wN/GnOnDlzb7rpJr73ve/N+PsjjzzC7bffDsjM4L/97W8sXrwYgMrKSsxmM0qlEpVKxY4dOw7ruBobG7NBtru7G5vNllUF+bDYvn07ixYtorm5mby8PEpLS4+6/7pnzx4WLFjwgb2Q6fO2tbW1B60cw+EwPT09H1oHOUP0yQy319XVHdUqtam9i80jKbYMR9k3HMgyj98PxrQSkN0gz8CqpQRmjUCuzSo71SDPw0YTIqF4Em8kiSsYxxmUe7yz9dK0AqCQyVOH22vTqhTY9PIMrikduOMpEVcwwag/OsMdxqpTIiHgjybJM6lxBqdujoUWLfMLTcwrNDO/0ERNvpEJX5RNvV4293jYPyIXk1UKmJNnJJmS6PNESIkSdp0szuCMCIjAygoLd3+mEXU6ALiCMX78UhtKhcCfPlmfNSoQBCHd6xUw66YCaZ8ryFl/2cJXV+WwxCaPRmXIU9NHPAKBAHtau9noMfDo9qEs6ai+2MyXT6lmdXUOL+wd5ccvtWXdg+R+s5yBnjI3l8HJaDZjVghg06tJSRK+aSucMruehSUWTHEPF5ywiAVFZkRR4g9vd/PYjiEcJg3fP2su5zYUHPTdenDzABu73ewd8uNNl791agU5ejVKpUBNnpFRXwx3KE4oliI2S6l0NigEUAmgUwnYDSpK7EZq8800lMgLhJJpYzYZPLxlgGd2j2TtCYutOuqLzcSTIrsHvfijKRwmDec1FHBSTS6RRIqO8RAdE0Hax4P0e8LZ1ooqLfwiIFdbBEG2eJwOu0GdzUIrcvVTv+cYMOlUdHV1YTabKSg4dH/7aJFMJvF4PDidTrxeLwaDAYfDQTgcxmKxHBNnsiPBf0WQFQTh68B6SZJ2HuLvBuBR4HJJkg6WDpKfowQ6gDNjsVj3ihUreOyxx2ZkXJs2bWL+/PnY7XZeffVVfvrTn7J161ZADrI7duzI+g4eLhobG3n33XdRKBT09fVhMBjIz599iP1IsXnzZpRKZVYe8cNg3759zJ07930vjAP7r7MhFovR3t7OokWLPtTxhMNhtm/fzpw5cw7ymj0QoiTJs6ZpuIJx3ul0s7bdzZZeDwlRDlgqhXzjVwCrqu0sKzWzvX8Sty/EZFzAE5kyMVAIsgOOSimQSIpEpmVE02HRqTBpZIlEJJlQFUmkCB9GhqNVCdgNGoosWoqsOkwaAbfbjUJrIJRS0u+JMOKNZverEOSAadOrkZAzbXcwPmM/Nr2a1dX2bJY6v8iETa+m2xVmU7eHTT0etvf7iCRSKAWBUruOfk8Es1ZJOJ4iJUGRVUuFXU+fO8RYIIFZq+SiRQWcUalFnwwQDAaxWq30RHTc/s4IgWiKb505h0+vkGeiM9/tO97t49Htw7z25VXkGOUKxO5BH5+6dwdfObWaNbUOanM12QwlHA5jt9vJy8tDrVYzODjIwoULmQjE+Ou7vTy5YzjbO6zM1XPLydUMT0Z4ZNsA7lAStVIu22YCglIhpAXwTeQaNQxNRmkZC2QDXZ5Jg1GjxB9N4sl47wqknXDM5Bo0vNPposcVZnV1Dj85fx6VuVNtmJsf2cOQN8LiUiuNpVYWl1qpdhj4xtNNFFpkX1dPOM7ZC/KpdhiJp0QUgsDk5CR7ugYJaPNoHg3Q6wox5o/hDScIfwBzejpUCgGtSoFJp8JhVFNskw02RFGizxNm54CPcDyFRilQZFSg1+vpcgZn2O+V2nUsKDRTV2BmboGJugITtz6+l46JEOp0JSazmCswazmu0sZZ9QWcXOt4X/efjo6O7Gf570RGqN/pdGZ7ufn5+eTl5WG32//tPVpJkti8efP/e4OsIAiCJEmSIAgR5JbRV4BHJEkKHvA8HRAG8iVJch1iW8cDP5Uk6SxA+uUvfwnA97///Vn3PTk5SUNDA8PDw8DRB9kTTjiBp59+GpPJxODgIEql8pAB6nCRGZfp6elh+fLlH9qeDqC5uZnKyspDbivjcftBIhqJRIKmpqYP5b7h9/tpbW1FFEWOP/74g/4uSRJdzjDrOtys63CzqMTMlcuKWdvhYl2Hm/3DAVmRSSsLdoQT8rVWZtNRYNGiUyvwRZKM+6O4Q4lZPWDVSjk7Eg8o2SrSurPvV8rNICtdJ4FZA6fOdbC4xEJKkgjFRcYCCdkGzxWa0VvVqhRU5OhxmDRoVbIjzIg3ypg/OuuxNpZa2DPk54w6BwtLzOwY8FFo0bKiws6mHjmwZkp65XYdJ9bkcny1neMq7Fz74C7ax0MUWjSsqLATiCXZ3O0hlpKYY1VwzeoqLmwsyfbLAKLxJL9+rY3H9zgpMQl8aYmBJdUFOBwORKUWs06FP5rgzD9tZmWlnT9eXp99rTucYEOXh9+82cUpcx38+tKpisd0hSWn00kymWTOnDk4HA4MBgNjvih/Xd/L0ztH5Hlf5Bv/DSeUU55j4I2WCV5vmch6wxo1yhnMabUCGstseMJxutM62dPHsQotWvJMWkRJYtQfzUp9CsLUneyCRYXZY06J0kEOQ6FYkk/ft4M+d3iGqpdKIZBrVDMeiGPSKsnRCcwvyaG+yMy8QjMVuQZZLCJdzpUkiUA0SedEkH3DPlpHA/RMBJgIxAjEUsTFw7sGYUqvOPNcuX8sZKs6q6tzuKixiDPn5WHUquhzh+U55HQpvdsZYkOXm/Wdbrb3T5JISejVClZV5XBSbS5rah2U2fUz9tna2kp+fv4xq9odDtrb27Hb7SgUCpxOJ5OTk2g0miwfwGA4mKH+YZFMJtm5cycrV06phf2/LcgqJEkSBUGYAF4BzgVeA/5PkqS2zHOQrx8/0CBJ0sGSNvLzPgmcLUnSTYD08MMPs3XrVu64445Z9/3b3/6WtrY27rnnHgCqqqqw2+0IgsAXvvAFPv/5z3/g8QN84hOf4M4776SwsJDR0VGSySRlZWWH9drZkEwmaWtrQ61WEw6Hqa+vPyq6+4E4lNn69P5rQ0PDYZWT9+zZc9Q+kqOjowwPD1NfX09TU1N2djcpSuwe9LG2w807HW6GvHJnwGFUI0pkM5EFhSbyTGre7ZqcdfsGjQK7QY1FDRopTl6OTSakiRLOYJyByQi+SPKI5yENagWFVi2NpVaQJF5vdRGKp8g3CFQ6zHSN+wmnBKLTdGQtOhXVDgMOPSQjIez2HNyRFF1OObOZ7RgcRjXzi8wsLbNi0ip5r9vDu52erB8syDfRTHZr0iopMGsJxpKMB+L8/epFnFQzdeP7yUutPLV7LOsjq1crOKXKyAkFEhec2HjQfHW3M8S3n2uhbSzI1StK+NYZcyCVwOVysaljjNu3BPj+ibn0hVXct22cZz6/nPmFZjonQpTYtOjS2c93n2tlQ7ebb5wxh6uWy9+H6TdAv99Pd3c3OTk5OJ1O4vE4OTk55OXlERZ0/H1DP8/sHskyyC16FdetLOeypUW80+Hi5y+3ZwOLTa/EF0kdFJByDGoMGiVj/li2PCoIU+X8IouWQosOfyzJiDdCJCEyJ8/IK7cevPA7EJIkMe6Psa7DxcNbZaKXWimgEgQih2hZCMgC/cU2HXPSKkxz8oxU5ugptulnBPQMY3nC6WTUG8YrGRiKqBgKSgx6orhCMQLR5Cya3oeGABi1Si5fWsyCYgv5Zi0FZi35Zm3WyzkcT7G118P6Tjfru9wMpY0XKnMNrKnN5aSaXI6rtNPT2U5xcfEx458cDjJStdOrepFIJGu6Hg6Hs8YYOTk5x0QMIxaLsX//fpYvnyKVZUho/yFpyWM2J6sE/gL8DngEeEoQhB9LkvS8JEkigCAIIvB+OoUHHcyhVjXr1q3j3nvv5b333ss+tnHjRoqLi5mYmODMM89k3rx5rFmz5gMPfLrqk1KpJBabbXDk8BAOh2lubqa0tJSioiL2799/zNjKszGfM/1XtVpNY2PjYfVEj5ZdLIoi3d3dxGKxrGFCOCHyZpuTdR1u1nd58EWS2YzAoJHLm95IkuMqbZxam8spc3MptGjpHA+wfySIUiEQSySJJqVs0Mk46wxnduyaPRiDnInmmbXkGxQUGhXUV+RTYtNRYtVRZNEwGUmwudfL3iE/beMhBjxRelwzZ3InwhLuoQApEartKs5dWIRaKZcoOyeC7B/2sSeaPl9DM11U8kwa6otMLK+wMbfARCol0TwaYHu/l79v6M9mIoppgUEBVDsMaFVKhrwR3KEE4XiYpWVWrltVRl2BiURK5JFtwzy4dZDxtPJRIiWiUgh8qt7IOXP0zJ8/f8bnLUkST+0a5Vevd6JTK7nzyoWcWpeu6qiVmHILuGvfALkmHQvK87j9sXYa8xTExrppD9u55J89fP20aj53YgUAJ9bk8HLzBLe/3kUsIfKZ40qz/dwMAkmBJRUVVFRUkEql8Hg8jI+PMzk5yWXlBi6sreapliAvNU0QjCb5yzs9/OO9Xq5cXsoljUU8v2eUM+bnzXCnKTBpsBrU9LnDeMKJ7OLMoIJKh4lo2tZNkmDUH2N0mjKUQa2gxKrjkW2DLK+wU5tnRHEIr1xBECi06vjUilI+taKULb0efvdmF/uG/VTYtZxVrWdRTRmtY0FaRv30ucOM+2VilzeSoGU0wEv7xrLbUwiyzGGpXUdtvokFhWaqHEYq5uTRaNbg83p5Zkc/j3d6iM5yS1ApQCEo0Kjk440nU9lMOHPtSEAwluL+zQe7VhnTi7X89L8Ci5ZrV8qf2dBkhNaxAE/sGOahLYNoVQrm56o4fYGKMxvk3u1/Qsd3NnaxXq+nrKyMsrKyrDFGxo1qNvvHI8XHVe0JjjzIhoAqSZKeFgRhFXLA/YcgCMuB2yVJCiArDtjeZxtDQDaFHBoamrVsu2/fPm666SZeffXVGaWOzHPz8/O55JJL2LZt22EFWbPZPCPIHm1QzGgeT5dH/HcI+2eQ6b8eSu/4UDiaCzVTYrbb7VgKynhm7zjrOtxs6YmRlFrRqxVY9WrCsRQJUSIUT7Giwsr8AhMOk5rJcJLWsSBvtjsZnowyEYgfNNLzQchI9oE8fP/izcupyNEjCAI9Q+O0DLmJaVXsG/bz/N4xel1hRnyxg7KEfJOGBXaJqlw9u10Se4YC6NUK8k1qxnxR7lg/MOv+800aFpbI5JYii47jq+x0u8Js7/fyToebP6/rI56SxSTmFpi4fFkx/e4w67s8CECeWYNOrWQiEKNtPIROpeCEOTmcVufglLm52A0ael0hfv5yO+u7PFkhjboCI7eeXMWCAgNffWwXgYSCBQsWzPgcveEEt/2rjbfaXBxfZeeXF88nf9o4jChJ/OD5VlzBOI/esJQN3R5CCYkfXLSUKquSLe3ykibuHqKzM05eXh7HV8nZRiQh8pd1vVzaWIRePXUNvrhvjF+vdfNQoZfFpVaUSiV5eXnk5eUhSRKhUAin08kVFTFW2/S8Oiiwvi9MQoSHtgzKK2pBLun+4oL5PLJtgLbxEOPBOOPBOEpBDjyZpDKchJY0aUhA9qxFAJ1KSSAmE6XiKZHNPR7Wd8mygRadkuUVdlZU2FleaWNBofmQ7N1VVTk8+bkVvNXm5Devt3P3Ti+Lx0W+eUYNXzltTvZ5gWhSHoFxhWgZ9dM6FmTAE84Kp7hDcfYOzRyLEQC9Rh5FUyiVGJWQSKZm+MLK71MknprKmMtz9NQVmim2ymXyfLMGrUpJXYGRyUiScX+MiYD8b/rvOwe8TARiM4h3GZi0StRKBa2uOHvWDfC7dQPYDWoWpKsvN6+pel+z9w+DDwp4CoWCnJwccnJkY5KM/WNPTw+BQACr1YrD4TgiMYxkMjlrRvxRmwPA4QfZzJGGAAOAJElh4EZBEG4EfgYsEwThq8g+YBaY6uUesK3tQK0gCFWxWIzHH3+cRx99dMYTBgYGuPTSS3n44YeZO3du9vFQKIQoilnB/zfeeIPbbrvtsN6A0Wj8UEFWkiR6enoIBoMHaR4fyyA7fVuH2389FggEAry5vZmBpJVteybZPyIHIZNWiVYJyaR8I5akBBadirgoEoimeLdTLpNmMD2bm/5Yjl5FoUlJVZ6JkN9LEB3tzhi+aBKrXsU5C/K5cGE+9UUmJoJyj7TbGeKhrUP0uiP0uMPTbPhcaFUKKnP0VDkMGLUqupwhFILAyTU5zMvX0do/xn6PwDuDUzfCYCxFMDbzc1IAeQaBZfkCcwvMDIaV7BwJs7bDjU6lyLoAyWIQRhrLLFyyuIhT5uZi1atxBmI8u2eUHleIYW+M8WljFHq1gqVlVuqLzJxcm8MbLU7u3TSQLbFn8MSNy1hYYiEajbJn717OrXdgtdpm3CC29k7y3eda8IQTfPvMOVy3qmwGyQzggc2DvNPp5gdn11KVa+Bzj+xlTU0ODcXytRPX2oBhTl3RgFUVY2RkBJ/PR55BwBmWCMZTvNbi5NLGQgRBIBwOkxOfIMeo4guP7OGf1y+lOs+YzVIEQcBkMmEymaiqqmJJMsnxLhe7e8b45x4PO8alLEP2rTYX4XiKn14wnx5XmB8834JOlda3zrJpAUm2I0T+NbtIS6SSKAQosuowaJR0TkzN94bjIpt6PKxtl2kgBo2SJWVWllfYWFFhZ1GJBe20XrYgCJw5P596u8Rzu0d4siXItQ/s4sSaXL5x+hzqiy2YdSoWplnEF06TppQkiYlAnD53iB5XiNbRAO3jQQY8ETxpwtRsUAjyaJpGkIimIJTMXJNJ9g376ZwIccpcB5W5RpZX2LNlYbtRS7VjJj8jmkjhi8jG9N5wnFFfjCFvhFF/FGcghjskz4gHo/JOMv3uyXCCjd0eNnZ7uHlN1azHeSxwpFnldPtHSZLw+Xy4XC4GBuR7UGZM6P3EMGbb55HqDfy7cLg9WaUkSSlBELYDD0qSdIcgH71SkqSkIAhLgT8DGmA5cIkkSS8cIsgiCMK5wB+rq6trb7jhBn74wx9y1113AXDzzTdz00038cwzz1BRIZe0MqM6PT09XHLJJYC8crn66qv54Q9/eFhv9Dvf+Q4rVqzg7LPPJhAIMDQ0xPz58w/rtYlEgubmZiwWC1VVVQd9cF1dXTNWZh8G/f39aLVaYrEYHo/nQ/V6P0gHOdNffXnPIOu7vTgj8kfVUGRmebmFB7YOH/K1B8KkVWbdWwotWoqtWkrtOipzDJTZ9YyMT/Ba8zjresMMBeWb74oKKwsKTeg1SgY8EXpc8nztdJKMWaeiOtdAtUNPoUHAroxx4qIaRn1R/rZhgB0DPpSC3Av0R5KzEpIyENLHWWTVUWpREw35UelMdLpnliMzKLaoqCuwkEKg2xliOB0cv/eJGqJJkbXtrqzNXJldz+l1Dk6dm4vDpGHvsJ/dg362903S74mgUkxpLmeO5Zz6fK5dVcaiEgt+v59n39vPC/1K2p0R1tTkcNfVi0mkRP7yTi/3bBxAr1Zwy5pKbjqhYsZxhuJJOsZDXPvAbk6rc/DHy+u5b9MAv3u7h8duWMriUlmg5O8b+vjTul52fG9Ndk5SkiS+/fQ+Xmn1YNfKR1Zq0/D78ysYGBigvr6eyaSKq+/bhUKAp25als2eMyNCmX/TIUkSu3rG+cu6HjYPyuQmlSAH0OXlNkQkWkYC3HZeHWvbnazrcJGadn6MGiUpSTpI9nE69Go52B9oV6hTKVArFdnMV6mAxlIbKypsLKuwsbTMhkmnYmxsjFAoRGl5JY9sG+LvG/rwRhKc21DA106bQ3nabGJO3uERGsf9UQLRJIOTEXpcIVpGA3ROyNdNMHZoGdIMMgtUlUKgMteAUavEolURToj4o3L52n+gsMoBEASZY2DRqbHq1QiJMMUOG1aDbMUn62un+NUlH2607/2wfft2Fi9efEw4KhkxDJfLhc/nO6QYxmx6yaIoolKpjolG/WHgmPVkI0AeQDp4JgVBUEuStEsQhPOA7wFLgfftNEuS9AoygSp7S7z55puzf7/nnnuyRKfpqK6uZu/evUd4yDKm290dSeaZkUesrq4+JKP5WGohC4LA4OAgVquVxYsXH3PllHA8xYYuD6+1ONncOymP0gjy4Hpljiwa0DomG7hPR0bwXKUQsqSUZErWeI2npHSWGKHfEznEnqegEOQAv7nXy+ZeLyDfGG0GFWfOc9BQbKbaYaAq10CuUZ29gft8PsbHxym0aDn3r9tnbDOWmEnxVAsgKAQsOhV6jZJkSiIQSxKKp+iYCNExkXmmP3tM1bl66ostKBUCva4Q+0cCjPg9qBXgMCpZXmZixJ/gV290AbCw2MxXTq3i9DoHNXlTs6UpUWL/sJ8d/V760ucjEwcsWiVXH1fKVctLssFqT9cQv3urm50TIoUWLbdfMp/zGgro94T5zrMt7B8JYNQoiSXFLNM0A18kwRX37GAynKDIquUXF9YRSYjcv3mQE+fkZAMskLYT1MwQIhAEgbMbinml1UNlnoXdQ34mx2O8uLWDRQUaBgcHcTgcnLMgj0d3jPDpB3bz3BdWYNaqZMZ4PMWPX2rny6dUzchyY0mRbm8KlVaPQpDFN353fjm7+9282OHFk07mn9o5zOOfOw5PKM6L+8Z4aEMHwyEIJ1IzpDins48zmB5c1UoBs1ZFOCtTOPW3lAj7h33sGvAibZA/6/lFZhY4NMzLVXFuYYobTqjg8mUl3LOxjwc3D/BGywQn1eSyrsPF6fPyuPWUKhYUvX81qcCio8ACNfkmynMMGDUqFpVYiSVFAtEEQ+4AOwd9JCQF0XiKWEqaMa+b+TUpSnRNU+JaUWGjKteARS8HTqtONfV7en4785hZq5rRn5YD3gfP3R9LHEvFJ41GQ1FREUVFRTPEMDI63Zks9+OqWwyHH2QzV0IvMKPWJUlSIp3p+oDvC4Lwevp5zJbFflSYbtx+uEE2w7D9IHnEY1UuDofDDA0NYbPZZpTJjxXufLePu947uBcpShCKpVArFeRbtNQXm9PZqI5yuw7vUBfHL2/EoJEDluoAkkkiJd9sQ/EUoZj8MxBN8MUnmg/al1YlyCbaKiVqlQLSIxIicjn3s8eXUe2Yea4zZvLbu31s7/EztqNpRlk6JUE4fcPVqRSU5egoNGsQEHCH5dLzgdmOAFTlynq0OWl93M09Hl7YNw5AiVVHoUXHRCBGPCUxGkgxEQwyL0fB2YtNFOVa2OdMckJ1DrX5JkDOZP60rpfXmieyN/lMcJibb+TaVWWc15CPViXfDPzRBL95eT8vtPpQKxV85ZQqrju+DJ1KwQv7xvifVzsRJQm1UsCkVXHPZ+qzQdMbSWDWqvjWs80MTUZRKOD+a5Zg0am5f/MAnnCCW9ZUznjPA54I5QeMeACU2LXY9CouW1JEy1gASZTYGrBy8yVLsqW7U2yTvGtSMOyLce39u3j8pmXo1CqGfXK/+qr7dvKri+dh1qp4Yd84b7Q6CcZSaJQKrlxewlXLSwnGktjDauaHJtnRP0ksKaFNhdi2bRt5eXl8cmEeNSkd9upFPLN7hBf3jRKIpg5qQWRkJ2deg1KWPAVy9qpXKYgkRFISM2aYLTo1k6E4z40FSIrwi3Xj1OQZ5fJypZ1HbljOU7uGeWL7MCqFwIYuN2+3OQ872ALs7Pfyk3+1zXhsim2eQkhrc6vTYzyZ6yQlShRbteiVEr5wAhD5wSpDtkd5pIHkoyAE/bv2KQgCZrMZs9lMdXU1yWQSt9vN6OgoTqcTlUqFVqvF4XBkxXM+DuXiwwqyGeawJEnXHeLvqUxpWJKkd47h8R0zmM1mXC65Z6NUKkkmD12+ycgjJpPJLMP2/XAsgqzb7aa7u5vi4uJjemFM70vMzTegVQqyzKAoIigUJEVZuCGUDpLD3kOIdW3elv1VoxTQa5RZ8X3555QY/68umodSIZBv0hCKxdNC/xBNSsSSErFkCjigN5rOpr/9XGs204onRZQKGPbGsjdQpQBz8xVcsriQhmIz8/L0jAz0st8j0BVQ0jYepHMiTOdE+KC3oFVCoUnJnAIbBo2Sgckoz+wZy87yZhYPAjDsk8+DUiGwqMTMJYuLqMw18Ha7k+ebxvHsDaJXQYnCz/5uC481Beh2HZzFnz7PwTXHlVJXYEKUQKtSkhRFntw5wp/XdhOIiVy0uJCvnVZNvlmLP5rgRy+28WrzBPlmDROBOCsqbPzusnqGJiP8/JV2Sm167tk4wKlzc9nYLbOyv/eJWiodetrHA9y3aZBVVXaWHCDC3++JcMrcg+cl9WoVJ9XkUqEOcEKJhvWDcbb1y56ki0tt2Gw2ampqeGhegIv/sYsOZ5hr/v4ePz2tgIL8PB6/YQlffrKZW9OLKr1awZnz87DoVDy7e5QndgynBSzk/dXkGbm4sZjl5TZWV+dgUku4XC46OztlIYzJQW5ekce3zqjmnU4Pz+we5b00yWn6iBTMHnBBzl6D8amFjkmrJJGSiCbFNHOY7PaK0trKL+wd5fEdcovEpldj1KrIManpd8uyiO8dQbA9b2EBp9Q5shUgjVKBy+XE5/Mdkf3k9Jnlrq4u1Gr1rMpc7/f6j0JH+D8R3FQqFQUFBRQUFNDf308ikSCVStHc3Ew8Hsdut39oxbtjcpxH+oJD9Vkzj2Vmao/FwR1LmM1m+vvl0V2lUnnI8m40GqW5uZn8/PzDlkf8oKD9fpAkif7+fiYnJ2lsbMTn82UJWh8WgiDMCLJnzs9nab6S7u7uGexoMd37CsdTRNKOIpnfw/EUrR3dOIpKiKWY8XgkIRKJp7KPTQTixFIiSoVAMBjkl8crmDOnntzcXHw+Hx39w+wNmHhkxzCuYAK9WkFDkRmrQY07GGfUH6PPEyY+bYY136ThpBpZLKDapkQTdlJVU8euQR/bej3cv6GLoeDsdmR1+QYaSiwIkkTzgIvRsMSAL0W/T75hzyswsaTMyoAnjGuaCIVOrWBFhZ2rlhdRZjfwessED24dpM8dQa0UOLk2lzU1uTSN+Hlw/ziRxMSM/aoUcOWyEq5bVYbdqOaRbcN8+ckmzm3I59S5Dn79RhfdrjALC7T85IIGFqSJSTsHvHznuRbGfTGKLFpG/TGuW1XGN8+oRqVQ8Mi2IZ7cOYIkQV2Bief2jiEAJ8zJ4eTaHB7YPMjf1vchSvCHNVPCE65gnG19k7hD8Vkz2XK7jmtqRdRqJTef2cDae3aiUyn4x8YB7rhyYfZ5RTlmLl9Wyn2bBmj2SNzXFONzi1x4vV7OKIHOCTngnViTy23n1mHQKLnh+HKuum8nE4E4xVYtPzu/jhPm5B7Uyy0tLaWkpIRNmzZRWFiIy+Wiq6uLfI2G29bkkTqzktfbvTy7e5iByegMgZEMMvrJB0ICAtMIb9PZzCmJGUQ0vVpBqU1PJJFixBcl4Ja/1ylRJCnKzPfDyWyNWlWWvJTB0QQ8hUJBbm5udsIiM2/a0dFBJBLBbrfjcDjed97045DN/bshiiIGg4Hi4mIqKytJpVL4fL6PxXs/4iD7QSXgj2OAhZnl4kOd+Iybzdy5c49oePto526TySStra3odLps//XfMQ6kUChmiFk0NjbO6NEoBAGDRnlI0fCc8CD19fmH3ddxOp309fVRX1+P0Wik1x3m4c3DvNjkIpaSqwkZt5TtA77s6ypz9Jw5L4/6IpOswFNgwqBRMuKLsmvQx8stHjb3eBl7afNB+1Qp5KwzlpSodhg4v6GAQDTBhi531s82z6ThxDkm/JEE3e4QbeMzFzNzHAZ+cWEdJTY9r7c4uWvDAPuG/QjIfbHPrirDqFVy/+YhbvtX+8HnyaDmqsW5nFAo4fe5uO8tDy93xwjERZaXW2kbC/L4jhEKDAI/O7OET66qRRAEkqLIXev7uWtDHw6jBotehTeS5HeXLZjhqbquw4UkyaXnblcIjVIg36whx6Dm0rt3kEiKqJUKFpdYWF5hy75uU4+H7z3fCkBF7lSQDcWT3L2+j3zRzUnziigvLwegodjMiDfK2nYXnRPBbDkc4JunV9M5EWRDl4dX2yapyKvgK6euImfEw3NdzYwFk7zZ6qRr1MtvLqoBtYGJQJxyu45gLMUXHt3HZ44r4daTq3hx/zhmrYrzFxZkF76zBRWn08nkcA+L1TFO/kQOIwkDb/eEeLV5nEhCzLKUMwFWADQq+VqYDQfyhgRBNpcPRBNEEiKd0/qhaqWAKErZ12Q8cT+zspQX945xyV2HX0Y+FlnlgfOmHybL/W/CgSVqpVL5HxXgeD98aKmNNMv4Y9V/nQ3TxSgOxPQAtHjx4iNWCFEoFEccGDOCFmVlZRQWTplr/zsM5QVByJoJHK6YxYHbOZxjymTlXq+XxsZG7t40xPP7JhibhbkbT5M+VlXZKLXqZEKPIPfWVlba2DPo54mdI2zv9+EMTjm6TEnSwbJSMxaDlu39PjzhBA6TzG7unAjy53d6USkEqq0CZ9XlMBZM0DIaZEP31LhRoUVDICqXyS9aVMjx1Tb+tr6fTd2TpCSJugIj3zy9mhPm5PDS/nF++1b3jIwog4YiM7eeUsmJNbkkRUkuBW90EYylUCtgab6SXYM+9CqBy2sU1FYUc8rCcgRBYNgb4TvPtrB7yE9DsZnWsSClNh1/vmIhtflTrNbdg146JkJYdUrc4QQKQSAlivz+sgZufXI/Nr2aEV8UUZK4ZU0lf1vfx8m1uSwoMtM8Gsj2A8vtU/1uMRHnnk2DXLvMkQ2wAFcuK+bHL7WjUSq4Z+MAt18ypSsuCAJ/uXIhl9y1jV53hLs29FNg0XLlshKe/sIqbn1iP7sGfQwHknz2sTZuXqjiaytM3LtPrlAsKbPy0NZh3mpzYdSq6JwI8diOYb5/Vg11efrsdZTZl16vp7y8nPLy8qwQhuBycX6+lwtKrDQHtLzdE2Z3emY1I46SCbBK5Oz6/W5OkkT2GjsQs82gKhUCCgSe/cJxvLBvjAc3DxxWsD3WIyWHk+UmEolDzpD+N+G/SYziIBwYXDPjPh92u8ca09nF05GRR9RoNEcVgODwg1AGmf7r9JLt9G0dy0w2EonQ3d1NYWEhJSUlR7UdQRA+8P1lVKk0Gg2LFi1CoVDw4NbhgwhHM14jwZY0u3g6Htgim4ZOJ7wYNUqWlZooUARoKNQTMxRw98ZBXKEpFvSYP4ZaKXBWfT7RcJjm0SCdXpGOSU92ew1FZi5eXEAwluKOd/tIihImjZLXW8Z5Yd8YRVYtn11dxvkN+XjCCf6yrpffv91z0E1aKcC5Dfl84aRKqh1GkqLIs7tH+f3bPVknGIdRTSieYq9T5KIFdhbofLw0oOCpt4doH55kQYmdP7w3iiRJNBSZaBoJcHJtLr++ZMEMx5weV4ibH90HgFmnZjwtQPCjc2pRKRVZPWSDWhbhtxvU/OWdXkxapRxkRwJZ8/M73u3lvIYCTizX09TURK5RjS8p7ytj8HBOfQG/fqObPLOGV5omuPWUqhmauBqlgn9+dinn3LEFfzTFz1/uINeo4Yx5edx7zWJ+8ILcU9aqVfx+V4Kvn1LEV1bquHOrm50DPubmaoikoHMixMISM33uMFfdu4s1pUq+dtqcbOslU07OjAodKIQRDocpdjpptEQYqtKz06Pinf7ojFnVA79Js81xHwqZRZ1Np0SvUWXHvFKixENbB3lo6yDFFh2XNBbij6Z4q9XJJW1OzpiXx5dmCbb/7v7obFnu2NgY27Zt+6/PcmcLsrONln0UOOogKwiCEXAAJuRr0SNJ0lgmwH7cgu1sQTYUCtHS0nJQNnmkONzAeGCmN1v59VhmspkFxLx58z5U6SRTbj4UYrEYTU1NFBUVUVxcTK87zJ3v9hFJiNkblUKAeoeKS5dXolIItE+EaBoN0DIazDI/p5NaLDoVx1XIggLLy61U5+pobWnB5xf46nthEqme7P5VAph0KhIpiWFvlMHJqR6bVqXguAobly0t4sQ5ufgjCb76VFPWVg4gFE9x2ZIiLlxUSE2+gYe2DHH9Q3vwzmI2a9OruG5VGVctL8GqV5MSJV7aN8Zv3+rOZkO5RnnMxhVKcHJtLp9uMPJu2zi/3weCIPGt06vZP+ThF28PUW4WCCegaTSIUoAbTyifEWDf63Lz5SebENJhfsgbRQF8Yn4en1pewj82ymxxjVIee/niyZX8a/84SkHg3IYCkqI8klVk1eEwaVjb7qLWrsIe8LFo0SJKW9sY9UX5zP27qHYY+PkF8zBolFy4uIAnd44AEr95s4s/X7FwxnmwGzQ88tmlXHLXdpISfP3pZu6/ppHlFTZuv2Q+JVYd92waIMeg5rfrBlhSasEbk7DrVfR6E2gUEisKFOwaCZCSoNAAG4ZT7Hqih1tPEblyWTFdziDldj0GjXJGwAX5Bmo0GjEajVRWVrIkmWS1283lExNs7HLz3pjAnrEEKWTGeSwpHtTD/SBknuqNpvCmNRKVCgGBqfLxiD/Kg+lFoUYpUGbXs6HLzVuz9GxFUfyPZVuZLFen07F69eqj6uUeDURR/EgC22zZ+seluHo0xKciYCVwBlCJHGRFICEIggfYCDwnSdLwx4kEdWC5OMNCmy2bPFIcTpDN9F/1en020zvabR0OhoeHCQaDLFiw4EP3Jt4v8Pt8Ptrb25k7dy5BtHzv+VZeaZ7SqLXoVKystGHSCOwZcPM/r3VlA2nG6BzArldxXKWdFRVWOag6pnRWY7EY+/buJT8/H18kiUC6t46s5RpJaydnoFbAaXUOrl5RypJyKyqFgj53mO8/38rb7c4ZN9o8k5rHb1jGaCDGX9b1sr3fO+uNeF6BkZtPquS0eQ5U6UXHm61Obn+ji5E0E9lukA3je90RavON/Ori+YTdY/z6nRG6JpOcVJPDlctKuP2NToa9UU6otrOpZxIJsGoVfHOFnuRIGx3RHCz2XMajSm55bB+iBAUWLWP+GEaNkhyjml9cMA9BEHilSR450qpVLCgysLLSxo9ebOOEOXZyjRo6xoNEEiKiKFFs1eEKxokFJlly8jK0WnlMa/+In4ocQ1ZYA+CKpSU8sm0Ym17NW20u+t1hKqbZy4XjKV5pdvKHTzbw5aeaSIkSn39kD8U2PecvLOAbZ8yhxK5LZ7lqdg/5qckzMhmOgwRWg5bt4zGWFRtoGQ8zFpbZ3/kGgV++3sUTO0fwRuSy+JdPqeSSxUUoBAlRFPFFEry0f4Irlpdg0MjG5dOZposaJK4JBukZGuOlfWOsH0rQ75cXekqFcFAJWKdSkJKkWUvDByJzvWqUAnaDbIpx8txcllfY2dHvZWf/ZFYs4u02J2+3OanMNfCN0+dQZ5Sy3/sX941i1alZU5v7HwlKs2W5GXLZscxyP6qy7X9FuVgQBC1wPvANoA5oBvYAmTuqBSgCzgYuFARhqyRJPz6mR/shYLFYCAaDWXnERCLBsmXL3nf+9XDxQT3ZTP+1vLz8A82TP2wmO338KD8//5isUg91TGNjYwwNDVFYVccv143waoszu/q36lVolALOYII32lzyXCBTmarDpOa4ChvLyqysqLRRmdYnPhB+v5+2tjZqa2t5syfMb9YFs7qvGSF1ALNWSZ5OpMRupMBu5ucXzMMZjPHotmFe2DeWNdHWqRXEEiKKtOnA+QvzueLenTMs7qbj1Lm53HpKFfMLzTiDMX77ZjcFFi1P7Rqhzx3J7rvaYWDvcAABgZ+cN5dzF+Rx+ws7ebErilmn5vaL5zPsjfC1p5pwmNQsLjGzsUcev6l2GLj/2kbyTFqSySS3v9rKhp5mhv2yr+zlC+08tX8SjUpBNJHiD59cglmnwhuJ0zEhE6AC0SS3rKlkR7+PMX+Mb54h6/BmREW8kQRFRvn8LqyrzvIOiq063mh1cl59Pnf3eNjQ6SIuSpxel8eyciv96ff4k3+188B1S7LnZf+wn7+t7+Oq5cV87xM1/OqNLqJJiX5PhLfaXNx8UiVXLiuh0KLjG083Y9OrGJyMYNapWFBkZu+wn0q7lt2jYfKMalYUmtnQ5aF7MkGpWYEvEMYTk8U7fvKvDv65bZhvnTGHE+fksLbDza/e6OLujf18dlUZDcVmbn5sPyqFIP9TKlBO/12tpcQiz24H4lOBtC5XTYc7MUO4osiiIZ6SDnk9ZBBPSVkJzad3jfL0rtFDPrfPHebvG/r47Sfysoz/BzcP0jTiZ2GJhVtPqWZ+oYkCy7G1ZDtUJncsGMuHwkc1MnSoIPv/mnJxmtz0deBm4OfAo5IkzTpQKQhCJXAKUDHb3z8q6HQ6UqkU55xzDj/72c+wWq0f/KLDxPtlnxnh68PNmD9MJhuPx2lqasLhcFBWVkZ3d/cxyYoPDLKSJNHd3c2IJ8C9rUp2vX6wCpcvImvNZqBWCBhUYNJrEZBnc9d1uPFHk1yxbHZf34mJCfr7+5k7v56Hdozzj01DU8dwwHMDsRTRpIA/Faff5+Vz/9zD5t7JrEydQoBzFuTzZptTDvgKgQl/jHs2Hux0IgBLy63km7T86NxakqLEr17v5LHtwzMMDwxqBUvKrOwc9NEyFuSm1eV8/qQKmocmufivmxgNSVywsIDPHl/GL1/vYnu/l9PqcmkaCbB7SA5+59Xn878XzUejkrPjO9cP8MhuFyqFQEqCa5cX8tQeOVuNJ0VKLSrKTPJn8Nd35ZE0lVJBbb6eE+fk8KOX2jBqlJyWduZpHglg0CjxRpIYVXIZ226cIvYV23QkRYkyuwFRkg3eQ/EUp9flceWyEr7zXAtmrZJt/V6+/3wrv7xYliJdWWXn+lVlPLBlkN9dtoDLlhTxzO5RUqJEy2iAPneIylwjJ9fm8sfL6/n2sy3y9SBB61iANVUm3usL4jBpUAgCG7o8XLS4kK19kwz5YqgVAqsrTewclMvoI54QX3h0HysrrHz3rLk8fP0S7ny3l9+93YNFp6Kh2MzcfCMC8kIulWYEpySJZEpKj+BIxJMio94wkijyjUUiwZSWtrCRN3vC9HmijPrlwKkQoCLXQCSeZMx/MCkqI6rij81UpgK5XbCkTDaQ3z3oY32ni+bRAD97O8mNq0ooKhJ47MblvLB3lL+t7+ULj+wBZD/Zn5xXR6Xjw/tSw+EHvGOZ5f7/mezBOFwxCkkQhBckSfpV5jFBEFRM3esyZ16UJKkPeEAQhP+IYOThYteuXfT29vLrX/+alStX0tLSckxF/Q/M9CRJoq+vD5/Pd5ChwPvhaDPZjPzjnDlzsivUY9Xfnb6dZDLJtj1NvDUk8VJ7cIYv64EQJXk8QpJAp1aSoxUpsOswaVWYtSqMWiW1+UZESSISn5rPLbJqae3sYUP3JB1hPZvX7c72d4ssGhoK9FSaUhiIYdOrUIoJFDkVbOjz806HG1cwTlIUWVBkpmkkQHmOnutXlfE/r3Zk+79iSjpIbFSnErh0STGXLSni28+2sGfQRySR5L1uz4yxD7UCTqrJZd+wn409k5y9IJ9vnF6NzaDmN6+18/TeCQrMav5+9XwiiRTXP7SHRErihuPLeHjrIAlR/sL84Owarl4xNYt9x7t9/P29/iwT+JqVJWzsmZwhvlCXp+feda0k4jGeak8iIJdu40lZaOGNFidnzs9DnxbEbxrxU6CH3jiUFeZC7xBW/dTXvsgqZ082o/yYw6Rhf4ebMX+UT8zP45evqykwa2kbD/LCvjE+c1wp9cXyYvFrp1fzVruTbz3TwkPXN9LnCrEzbcjw+Uf28cfLG5hbYOS1lgmiiRRFVh1DkxGKLWrW9wb5xHwHewb9OEMxlpZbeX7vGHPzjZyyPJcnd46wqS9AuV1PTZ6BtR1ujGoFe4Z8XHr3dpYVaRkOily4sICJYJwtvZN0O8Ncv6qUCxbmY9CoMOtUs/ZyM+js7MRoNLJEkjijzEnHmMjuSTXvDMTwhJP0umRBE41KoMKuZ2AykmUtT4mqyJUInUrBgCdCMJ7CHUrwVpuLt9pcmHUqTqmThTleax7jc093cfLeSU6f56BjPMRzN6/kmV3D3PluL5t6PJz1l80cV2njp+fPY07e1OjU0eCjmMv9/4PswTjsWoAkSa0H/P+s6gvprFeQJOn96y3/Qdx777384x//kKXbPvlJQFYL+XfZ0yWTSVpaWjAYDCxevPiIShZHU94YHx9nYGDgIPnHYx1kR1xefvFSM1vHRRIpaUamatYqKbbqKLRoMGqUtI2H6HFHUAgCFbk6iqw6PJM+QvEUzmB8hpDFbf/qmLG/WruSbm8KUYI8U4pzFzg4bW4ux89xoNOkmbCiyL+2tvJGu4ftYyKBeDcmtcAZc8w0Vuby6M5xmkYCnNeQjyhKs861To0DCRRadJi0Sta2u3hs+3D2b+9McxjKoNimZ22HG5VC4Nz6fH57WT3vdrj4yb/amAgmOKsuhx+eN58/r+vh6d2jNBSbWVhs5r60P6hOreDuqxfPmGX967u9/G19H3q1LAV44aIChr0x+lwRvnRyJX9+pxeAt7sDvD3tWDKi+ycXiTyzuYNQPMWFi2QSXzAcoXU0wIoyI72+UDbwWvVTC77idJANx2Xd5Iz13qaeSS5tLOLSxiLu3zSAQaMgHBf549pu/vGZxvR5U/Cz8+q48Z97+dwj+7jh+HL63GHc4SRD3ihX3rOD8xYW8OVTqni1aYK5+Uas6hT7xuMsKjHzRquL5eVWqhwGtvZ5WVpmoc8T4endo3zuxArWd7ppGQsy5I1wzoJ8+jxhWseCKBWwczSGALy4fxyjCi5eYGMiAn9c18vfNvQjSfDp40q4aXU5Vr0qS8iZHnBFUUSj0eBwOPjqy8N4QgrsOqjNURE3SUxGJYaCIvGkRKdTDrhqhUBClGawlIe9U8G3MkdPgUXLgCfCmF82bH+zVe6oKYA8o5rtfV7e7ZQFUZ7ZM8ovL1rAlu+ezD+3DXLnO71s6/Ny7h1bWF5u4yfn1zG34Og4I8ci8BxplvtRlYth5r3z40J6gqMjPp2KTHYyI/dhzYAeeSStXJKkz/L+Y2n/Ufz973/nvffeY+3ataxevTr7+LEclZn+4WYYy4fTf/2wyJRtw+EwS5YsOWhleSyDrN/v5w8bRnlvZGp70wlCgViK9okQ7dMsyFQKAbNOlrNzBuKIItg0SvJMskh9RkRg1Bel3xPNsnMjosCNx5dxcm0OdXk6VEolarUahUJBlzPES3tHeX7PMM6wLERwWp2D8xcWsLhIz93vdvHLN3rRKqHUouLlpgmUh1i3aFVycDXrVCgEmPDHGQvMLipSl28kJUl0OcMMpzX55hYYOakmh28+3cSrLU6KDAJLSs281THJ/rEdjPpifHZVGfuGfTy2YwSAcruee69ppMQ21X+7a0Mfd7zbh0mjIBgXOWlODsVWHXdt6Ocbp1fz2I5hSqxaHr1hGSqlwN3v9WcZrUlJZjzfeHoDNz+2H40SnH2ttERs7Ol3y383G4AQyvTNb3omW2yTS8cj3igNxWY6JkLkGjVs7vFwaWMRly8t5t5NAywqsbCl18vGnkmaRvxZ+7zjq3O4YmkxT+4a4a/r+2acs5QEL+4bx6JT8dnjS/nbhgH+9/Q8qgoUvLBvnCVlFvYO+ykwa7lmZSmPbhumwKKlpszIXRv6WV5u5dtnVPPHdb282jJBrlHN508o4/Gdo/ijyWxjPi4KPN/ixa6FC6tVdAUUtDjj3L95kIe3DnHlsmK+cFIluUY1oihmvxPxeBxJkpAkiVNqc+n3RHAF47iCMZzBFJPhg/OETLsgc+0bNEqiian7iDMYp98TQUJWj3KYtCRS8sIyJYLzgF5vJJ7ia0/tpyJHz73XLOGa48p4bMcQf17bw44BLxf8dSuNpVZ+en4d8w9DM3k6jnXAO5wsV6vVfiz6oPD/7hGe55ADagTZLCAG6IASYKMgCKpDZbkfBa6//no+//nPZ1ewqVQKlUp1TINsBhlD9wULFmAyfbhSzwchkUjQ0tKC2Wxm4cKFs15MRyOScSAkScLv9xMKhfjWuYtgXT/Lym3kmTXo1crs8P/LTROs7XCjEOCyxkI+d0L5DENxkB1BGpc2sGvQx9p2N+s63Iz65YxkUbGRU4pELl5RzaKqQlKpVPazcoeTvLpriH/tH6d1LCj3TEsMfOPMCs6Y58CoVdHvCXPjo820jQdRKQTCSQldEmxaAW9s5prPblClb44iI74oCc+h14Snzc3BbtTywt7R7MrRrFPz9dOqmAwn+cELsgj88SUaWj0i+0aCSMh9wNsvmc8vX+tkMs18NmqUPPOF5Rg1U1+7f7zXz5/XycIZwbhIQ5GJSxoL+cYzLVzaWEjTiB9nIM7D1y8hz6zFE4rz6PaZFoSfXFJEWFSxbyyKBFRVVuIe6mY0pgGSDE14USsFhibDqBQChmneqkaNKitk0VBs4a02F59YkMfmnklESaI8R88J1Xa6nCG06VGYP6/r4e5PN2a38ZPz5vJy0ziheIpT5+ZSkaOXyT1pq8R/bhvmrEo1DoOSx1ujPHrDUkrteu58t4/6IjPj/hhP7xrlSydX8sTOEXYNeLlgYUHWSjCRklhWZmHnoJ+7Nw5y2txcTFolL+6fSH+eaiaCccIpBS/2JCm3abh2oZFtQ2HaJiUe2T7M4zuGuXRJMbesqaBpJMDd73ahJUl5IdgMbqx6NUvLrNiNGqx6FXaDvBCUJAhEEziDMdqG3GzqdtPujOJLt2mrc/VMhpMM+6KcWJPDZChBc5psFk2IDE5+sCsVyLrSZ/xpE/MLTTz1+eP41PJSntg5zJ/WdrNnyMfFd21jYYmFn5xXx8KSw+OTfBRzuQMDA3i9XsLh8H/1XO6R4GiC7ALkGe84kETOWguArwLDyAH4A4OsIAhnz507l1QqxU033cT3vve9GX+XJImvfvWrvPLKKxgMBh544AGWLl0KwGuvvcZXv/rVQ752OqarN2WkFa1W6zENspIkEYvJJthH0n89WmSy5YqKCvLz8w/5vA+jqQzyl7Sjo4NYLEZJSQll+ZYZWrZj/hj3bBrgmd1jCAJcvqSIm1aXUWCZGVzD8RTvdXt4Ym+MPW9vJJ6S0KoUHF9l45aTKqjPkfCND1Ff34jBYCCRSBCIJXm3y8vLzU629XmRgPkFBq6qU/Gp1XOpLZuqEvzfax08sm2qxKtTK4jEU3jCs7/3yXCSyXCSMpuWXKOejlnMBGrzDKyotPNK0zjeSDIrr3fNylIuWVzIL17pYPeQX7ZNc2jYPByXPVBFiTPmOTilNpfvPdeaFa+36FQ8dF0jRo0qq/xz76YB/rC2B1taRtFuUHHbeXVc9+BulpRaWFhs5mevdPL106qz7ju3v9FFIiVhUCsIpyUF79k0yGQkiQTMydUSmhhkxYoVvPVWH1Z9HF9CHlsZGHVhVMuexXl5eUQlFbc8vh+TVpauPHN+HiA7EL0RTtA+HmR+oZkrl5fwlSebOHVuLus63LzXPcn+YZkZe8tj+yi163jypuWc99etrOtw8+SNS6kvtuAJy6M2AK/3JTh7QR6vtTh5uWmCG1aX83LTOK1jct81z6zhz+/0cv2qUrqdIV7aP85Jc3KYjCRoGgnQ74nylysa+PFLbaztcGPQKPjiSRXcu3mQiWAch1Etk9kCcSZCSR7aH6ex1MIPltl4tWmC3WNRnto1wtO7RliQpyaWFImpdWzsmcQbTsxw6TkQGpUCq15ejNj0OlZUmxGkFKPeMP3uUJax/F6XhwWFJl764krWd7p5vWUiOxZl1CiJJOQWiFopkGvUkBIlvJHEjNGh1rEgC3++llPrHHzjjBo2fXsNT+8e4Q9vd7N/2M8n795OfZGZ286ro7HMdshjhv8s0zeT5SYSCcxmMyUlJTNNH/5Nc7nw8SoNz4aj0S4emeXhoCAI3wXagSeAvvfbhiAISuDOV199ldLSUlasWMGFF17IggVT8m2vvvoqnZ2ddHZ2snXrVm655Ra2bt1KKpXiS1/6Em+++eYhX3soGI1GgsHgMQ2ymf4rwKJFi47Ziu1QEmwZtvLhZMsfplwcj8dpbm4mNzcXs9k8YzvOQIx7Nw/y1K5RRAkuWVzI504oy5JoQBalf6fTzdp2N1t6PVmyjwRcv7KUW9ZUoFcrZHEOjyzOkZIE3mgZ59UWJ+u7JomnJMrsem5eU8nqYhUJzzCLFh08dhWNizP6E5mxHoUg98hqC0yU2/U4TBqsejXJRII3m8dY3xc8qK+R6bV1OsN0OsNZY/Bl5Ta+c2YNW/sm+dR9O4knJdQK2d2l1RVHp1KQTIn85Ny5tI8H+NFLUz3gqlwD//zsEuwG+cb645faaBkN0DERosSqZdgXQyHAw9c38vlHmrDo1HzjjGo+/8g+VlbauPEEWfKwyxniX/vHZbJTWkmrxKaj2xVmW6/cO15dKLB06VLUajX7RwI0FJmzkoMWmw1DNIgrCr6uLrzBME0jUapytNlysXwO5OtuU88k8wvNnDI3l3yzhnhKRKUQSIoSd7zby9+vXkwknqJlJECVw8AX11Tw1/X9XPPAbnZ87yR+cEYFHYNO2r3yWX6txUmJTcfv3+7mpDk5VDuM9LkjjPiimLVKTpvr4IEtQ/LY1MmV/G19P0VWDY2lFvYM+fnhi2388qJ5rO/y8OTOEf66oZ/6QhOj/hjuUAIJmFdoYmQyQhQ5YO0Z8ssM5xPn8NSuYTb2eGl2yiXb1aVJfnJ6BYuri0iIMiPeG0ngDcfxRhL4Ikl86Z/+aBJfNIk3nGBgMpJ+PEE0MfMKahkLMt7XztmVhVyzYjGuiMjrzRO83jLBniFZp9ugUeKLyDrJWpWCU+bmUmDW0DIaoGkkgASsbXextt2FQaPg1Ll53H7RAkb8Uf68rofm0QBX3rODeQUmfnxeHcsr7LN+hz+K/mhGcOM/NZcL8r3yo+oDHw6OyZIizSQ+CcgHDmfw9Digq7q6uhrgqquu4oUXXpgRKF944QWuvfZaBEFg1apVeL1eRkdH6evro6amhvRLZ33toTBdkEKpVJJIfDhu1vSMMtPfORZB9kD3HJipFnW42fLRBtlgMEhLS0uWqTw2NkYqlcIVjHP/lkGe2DlKMiVy0aJCPn9ieba/2OsOZ8vA+4b9SEC+WYPdKFu2lVsEfnnpYhaWWEilUrS0tKBUqUjYKvjfN3p5s82JP5oix6DOKjAtLDYzMDCAx+Nk2bJlM953NCGXqXcNeWccf5ldxw2ry7lgYeEM0wNnQM68n9w5QjIl2+hlWMMC4NCDhAJXRESrFIilJOwGNb/6RC1ldh0/+Vcb+0cCqJUCKoVsxB6IiYgSVDoM/OK8ufzwpXY6pvWlz5jn4LeX1aNRKkiKIt9/vpWXm+TszqZXMeyTe8C3nFTB5f/YRVKUeODaJfzi1Q60KiW3X7JAHhER4LaX2pCA0+fm8naHTJzpcctZ+KBX3s5nz2hErVYTTaTomghx/MpSNvZMolUpCMVTjPpjvDci8rXTFiOKItp314OYpHcyxj/f2kWpVU23M0hNnpHNPR5uXF2OSqHgk0uK+dv6Ps6Yl8ebbU42dHnYN+ynItfAW20ysefWU6p5tXmCXneEK/6xnZPyk/zfJfV866VuetMmDRkrxX9uH+aPl9fzoxfbeHHfOOGEyMZuN1cuK+bJnSPsG/bz1dMqeWTbME0jfgwaJfGkyJeeaOLKZcU8ddMyvvZ0M81j8oiPRa8iEk/R4wwhCAJLy6zsH/ahVAhs7vHwbqebk8q0/PQUB++OSKzrcLNpKMamxzpZkt/NFfMMLKkuoMzhoK4gJ/v5ZbKk6dlSRuZREARiSVkcwxtJ4gnGGPVFaay14HK5ssbiJ+U7OLduDvvae+hNWFnX5WX3oBxw9WolO/onCcZSKBUCK6vsVOTqeaPFyWQ4QTgu8nLTOC83jaNUCDQUmTmpJocNXR7axoN8+r6d1OYb+dE5dayqnjpu+GiC7Gxkq0P1cjNZrs1mIy8v76iz3EMZtn9cStRHS3yqBrSAFZkElQOcCDwGjB/GZkqA7IBiaWkpW7dunfGE4eFhysrKmP6c4eHhWR8/8LWHwtEYtx8KGaeZ+fPnYzKZGB4eJpVKHZOLOnNsmW2lUilaW1vRarXvqxZ1II4myB7ooAMQiIs8stPNK50DxJIi5y8s4OZ0cN03HODJXaOs7XBlxRnmF5q4cXUZI74or7c4MetU/OTcWsoSgywssRCPx3lt8172eDW8NxBk1D+OTq3gtNocTqrN5a02N/MKZUZua2srCoVihq70sDfK4zuGeWLncDZrBThxTg7Xryrj+Gr7jC/YRCDGPRvl4JoSJY6vtuMMxmkfD2LTK7l2VTnj/ihP7RxFpZRQCrKO76W1Gq5cWsDrfR6++cwoRo0SfVrMQgSMGgWhuMiKChvfOrOaax/YTWTaSNM3T5+TzULjKZHvPNvCG2mmqVop4I3IIzjFNh1P7BwhkhD58ilVvN4yQdtYkDuvXEgkkeK8v27lqmVF7BmSg81XTqtmXYebk+fKBKnHdowgStBYaqHQKmsMt48HSYoSeSZZujPPpMGbJvJkFh4KhQK7QYNer0b0Bnm1X6Q2R8OegUlWFCp5pz/ME1t6SCk1fHJpEXdt6KPYps1m+3e+28vxVXYmwwm8kQQ2vZrnvrCCZb9cT+tEhNYJEGwB7r56MVfcsxNvOJGtHNyzsZ/LlhRRmydfY5GEiEmr5KmdI+SaNLiCcX7/di86tQKrXp0Vhzhpjp0nd46wucfDby5dwLY+L39+pxdfJJkWnxBoLLWypXeSArOGEpueXYM+NErkoDoU41MrSnn4+iU8uGWQt9pc7J4Q2T0RZEW3yEXV4xTrU9jtdvLy8rDZbNmgCnKwnf6dUgkCDqNa5h/kT2VlZrOZqqoqEokEbreb37/exsudYSS8GDVKyu06lAoFrlAsew1rlQL7R/xs6ZVFSqpyDYz6olmxjJQosXfYz950CdqmUxFNinROhLjuQVkW84fn1HHCnBwEQThm96MjQYZH8X441lnux1mIAo5M8SmjRfxt4ExgBJn0FEauAjqAf0qS5D6czc2y/Rn/P1udPZPhfdBrD4UDM9mj6VdKkkRvby+BQIDGxsZsZpUJjMeiHzs9OEYiEZqbmykpKaGoqOiot/NBOFBXWa1W44skeHDLEP/cPkw0IXJuQz43HF/GmD/GvZsGebfTgysUR6UQWF5h5VPLijm5Noft/T7+sK6XyVCCK5YWcevJldgMal7fMMBd73Txwt5RhoISSiHCqio7XzypjNPqHLzZ5uH/XusmlhRZVmZm165d5OfnZxdVm3s8/HPbEO90uLM3a61KwWVLCrl6RSlalYLfvtXNgmIzNr36oOC6pjYHbzjBe90eCi1abjunllAixd/X9xOOp9BrlITiKT4xP49vn1nDgCvAN19uZ8iXYJFDoG0ySTwli1DEkiKxpJzpLioxc+U9u7LnUqUQ+NunFnHCHDmziCdFvv50M+s6XNnnZEagREkehRn2Rjkl7Zpzy2Nymfjk2hw+98g+PKE492+W2cRfO7WaJ3aOoFAIfP/MOdz27O7sNi9aPKW/nSHfaNMkp1K7Pjv3OT27txnU2S+jJ5zkiuWlrOvtYs3CKt7o7+SpXSMM+hI06L0cX2HmpX3jrKnN5Z0ONxu6PKwol3vFfa4wjWVW3M4JvrFcy2+2y5n1w9uGuP74Mv5+9SKuuX8n8ZR8s0ikJH78Yhv3fGYxnnCC+zcPEoylsOhUuIJxTpuby7pON9GEmC1fA2hUSr5xejV/WtfLp+7bRX2RmR98ooYnd43QPhEiKUrs7Pfyw7NreXr3CLsGfVRZFKjVajrcMcxaJY9sG+KZ3SPcsLqcL5xYwT2bBnijxcn24TDbh2FlhY3rlumQJibYsreNnW4F160spSA/bwZ7NnMvms5Ynp7lbumdxG5QU2JzcMFKNaFYM3tdEv5okoHJg7V8wgeYafS6D+YKqBSySMbwZARvdOb9q8cV5saHd1Nu1/PDc+Yyz/qfnx09Un3mY5HlzhZkP0592iOZk82kDBfL/zs1B5uWXPwccJYgCH2SJHUfytw9jSEgm44ODQ1RXDxT9ae0tJTBwSk1nsxz4vH4rI8fDkwmE4GAfPM5mjnZ6YzeA/uvx4LJm0EmYGf8befNm4fFcmT0/enb+SBkHHTUajWLFi0iGBe5e1MfD28bJhRPcVKVhQqTxHhC5DMPyMIQBo2SE+fYOW2ug5NqcrDoVLSMBvju8+3sHfazqMTMXz65AJVSwd0bB1jf5aHfEwNGaCg0cs3qQs6sy5Hl9rxxvvZMG9v7vSwvt1JfoMc7PkTlSfPQm208vmOEh7cO0ueJyOIWQJFVy3Ury7iksYhNPR5ufXw/rlAcSYJtvZNsH/Dy1E5Zgei0OgfheIp1HW7sBjXfOXMO+WYtf1rXy+BkBJtehYgszPCDs2tpKDbz+7e7eXzHCCU2HV9cU8zfN/STksCqEfDFRaqtSnp8KRIpkXs3TV2PNp2Sv316MYvTDNBoIsVXn2piQ9fMeVsBmRUL8s201K7jtnPn8sl/7MCkVbKj38tDW4fY3DuZJQzZ9Cr0GgXP7B7lvHoHQ51NOONKRCmdEU/riTeNBMg1avCFZRpsTZ5hRk8wA7tejSs9OhWIpbKjOTqNGpVCoDDHSovLxXDCzOK8JBv7ElRrQ7yTfv3Tu2U5wT5PGFtqksnJSa79xEpaIm283DRBOJ7ioa1DfPmUKn7/yYV86Yn92X1v7p3kuT1jfOuMOZh1Kv68rpdANIlFp2Jth5s1NTnsGfLjjyapytVz8eJCblhdwSPbhkiJcsWheTSQXVDY9Cp8kSQJUeJ/X+vkO6dVMpoT54UekVAgxsm1OfS4wgRiKXRqJXe+28dj24e5eU0lX1xTyd3v9fNK8wRb+71s7feypNRCbX4OT7aMst89yOfqR7FqJHJycnA4HFit1hljItOzXEmSuOXRPVkXKqtOhV0jsbjUTlmOgWKrFp1KYNTtZdDlZ3AyhiumYDIqEU6Ih5yBTIrQ7ZwKviqFnHhM520NTEb4wqN7MWkUXLPYzlfnHFuLvffDh53NPZos978mk81AkqSDNMYkSYoBdwiC8CZyltvNTPvPA7EdqO3t7aWkpITHH3+cRx99dMYTLrzwQu644w6uuuoqtm7ditVqpaioiLy8PDo7O3m/1x4K0514jrRcHAwGaW1tpbKykry8vIP+fqR2d+8HQRAYGRnB5/Mdlb9tBoeTyU530LHk5nP3xkEe2jpEIJZibr4RrUrBpj4/GyRwGGOc31DAqXNzWVlpS7M5Y+wa8PLQtmG29/vQqATK7ToGPBE+/eBMuUUBiZtPKOPmNZWkUnKAum/rCH9/bwCdSslXTqni7dYxHtzu4+Q5Nu7eMcmze1oIx1PZbGtFuY3rVpWxpjYXpULgxf1jfP+5ViRkM/N5hSa+81wroiSzfFOixNvtTvRqJV86uZKVlXb+8o5sBGDVq7LZ5A/OruWq5cWs7/RwwV+34QzGuHZlqSxfuF6WLzSoFURS8OkVRTyzewxgRrnapFESSoi81jTB4hIrkUSKWx/fny3/ZcadAE6YY+e9bvlxvVrBYzcs47vPtRCIJUmkJG45qYJ7Nw1QX2Tm3XQGbNGruf2NLuJJkePMPubPb2Bk3R5A/qK90+HipBo5I2gaCchzr2kD8jK7nmj6hj8jyBrU2TGTpCjJZUxBoHMixJIyK0PeCBqlgtvfGUpnZTr2+TQsKoB941EGJqMIwNaWPmoWmlm8eDEKhYLfXFrPpp5JJsMJ/vFeP9etKsWsU/H9s2r45etd2f3f9q82FpaYufmkSkxaFf/3WifBWBKzVsn6Lg+Li82E0yXRezYOclqdg2tXlVFfbOY7z7Uw5ouhUgpIaQMEtTKenbf+9do+blldxEtfrOKuDf08sXMYi07FOfX5bO6RFz2CAP/3WielNh1fPrWKL6UJV/9qGmf3kJ/dQ35KrDo63XFu25zkp+fWUmEWGB4eprW1FbPZjMPhIDc3F7Vanb2xi6LIA9c2MuyNMuSNMuKL0tI/To87zHvdnhl6yZnPodCspsIOFmWCXL0Cjd5Aj0+idTzC+Czz2wqBrHjIbAjGRf623Y1LbOF/Lqw/5POOJY6l8tLhZrnAx9ov96iOLKPqlP6nSG9nIbIrT+YMH3IZIUlSUhCEW88666yXU6kUN9xwA/X19dx1110A3HzzzZx77rm88sor1NTUYDAYuP/+++UDVqm44447OOuss5j+2sPB0fZkMxq6CxYsyPYpD8SxYiuLokggECCZTLJkyZIP1VP5oCCbcdAprZzDy50h7nt0K8FYCpNW/gg7JkKU23WcPteGVREnPy+PEV+UB7cO8b+vdzHujx30JVcgMOyNkpLk4NFYYqHBlmBhvoZwJIwuz8Q9G/vZNRRgx4A/61hy7Uq55ycgUZNn4N1uL0K3PLqjVgpctKiAa1aWUZs/xai+f3M/v3lTtryryzfS4wrT4wpz9oJ8lEp4ef8ECkHgmpVlXNJYwAObh7j2wd0YNUqMGiX+SJJPLi3mq6dWIUrwnWdbea1FVib60Tm13LW+j+axYDYQ2wxqbHo1j2yfjWAPRrXE6iIlC8xRhsac/PD1QXb0+5CQyVjTLfg2pc0BBAEeum4Jz+8dY1PPJDqVgoZSM85gHG84yfFVeppHA5Ta5IWLRimwrEDJ2ScsRa/Xk1msW3QqfnTOXADGA1G6nCEWFptpGUtneYapNsb0OVmbQW4LZFbEE8E4NflGmkb8HF9t58/rejmh2s7+kQDt4yGuXVnKQ1uHuPvqRXw+7XErAV2eOH6/P6udbcvJ5YKF+Ty0dZikKPGD51tZ2+Emx6CmrsBE+7jcthEl+NR9u3jh5hV85rhSTFolP3yhTa6WqJU0jwUpsWk5a34er7c6ufiu7fz6kgWc01DAs59fwU9fbuf1FidWnYqWsSAnVNv55XnVPLG5g/GEjr9tGmVtd4Cfn1/HFcuK+b/XOnm1Wf6MT6zJ4Y0WpzxXHU/x3edaqSsw8fXTqvnSyZX8fUM/L+wbY9g39bl9/ZlWrlpezHfOnIdWpSAQCOByubLVNYfDgcPhwGQysbDEysISa1Y0JlJmzxI0PeEkI74oI74Yw95o+l+EIW+Ubd5keqxnKrBatAqMWtUM8wJJkm++Z9fnc+GiorQQRpiuiSCdE0FGfTFEYOERilh8GPw7yVaHynLHx8eRJAmdTpfNcj9OOBri0wrgLOTvVob4ZAGWA53AWzCjvDwrJEl65cDHbr755un74c4775z1teeeey7nnnvukR46ZrOZkRH5Bnk4QTHj2BMKhWZVVJqOYxFkM1mlRqOhrKzsQ1+s7xdkx8bGaO/p55UxE2+ubZkxqycgl96CsRQDk9Gp/lFrPw6jhhKbjgq7jlgihSuUwKaXZz990RSCAKfV5TKvwISAxO6uEd4dVPDP5ki6dNaW3Y9GKXBcpY3hyQj3bhpEo4RYimzv0GHS8JnjSrl8afGMICFJskziM7tHEQT5eLucIU5Iz1W+0TpBSoRLlxTy2ePLeKVpgk/du4t4SsSRJtU0llr44dlzWVBk4vm9Y9z+RheRRIovn1KJw6TlO882E0lO9U1zjWpGfLEZmWsGa2rsWeUjURS5/bU27tnVRpdHnl1tyNfRNCGfQ5UCGorlkRSAH58zl3c73fx1fR+5RjWhWJLPrCzlm8+0cFljEc/tlcuxGpUCs0ZBIC7yzXMa0OtlgtM58/N4Zu84V68oISlKjPmjtKUDq06tyLJ5zdqpa/fATDYQS2Wz7MHJCAuLzbzZ5uTWU6r487peSux6NvZMyqvmtOHCe90eFhQaaRmTF629ATj++OMJBoO4XC5eWL+bh7ZOCTGs7XDzvxfWsaFrckZvGuQ56k/fv4unblrOxYuLMGpUfPOZJhKi7JbkDMYJRL187oRy7tk0wDefbWHvsJ/vnVXL7y+r57maMf731Q70agVb+ybZMzjJj86q4aKlZbzV5uR/Xu3gU/ft5DPHlXLnVQ1s6JrkN2928a/9E5w6NxeVQuDNNhdGjZJxf5SbH9vHigob3zi9ms+fWM69mwZ5bs9odkH4+I4R3ulw87dPLaKuwMKrnQFaxs1845QKQv5Jent7s/P4ubm5eDxy1tzQ0JDllThMGnKNahYWmw+Se5Qk+T0PeSNy4PVE6Bn30e8OMupPZK9JSf44eKV5Aq1awa8uaZhxXvv6+kBQUF5WetA1++/Cf0pDeHqWa7FY8Pv9KJXKGVnuwoULP3hD/wEcCfEp02M9EdmJpxtZkCIAeIEXgYclSTpYJPZjApPJRDgs38A/KCgejqLSdHzYIDvd0m1ycvKYySEeeEzZVXUkwjNDBtZ1zuSpWfUqymx6im1aSmw6Sqw6HHqBpG+Ck5c3EI6n+OUb3bzW4szKFfoiSQotWmwGOYC92ebmzTZ5uzkGFbX5BpZV6pn0eNgyEscbk/jkkkJUCgVP7hrJStRl1OkWFpu5fFkJdoOavUN+DNqpL60/muCzD+3JWtdJkjwr6grGWZ/ue1Y7DPz5igaaRgLc8PBexvwxiq1aRnyyutSvLp7PBQsLGPJGuemfe9ncO8nSMivfOL2a+zYPsra9b6oMkz42rUrJcZVGtvV5s8eiUwncf+0StvZ5uf2Nbk6ck8NPX+5g54AvmxkeV27GrEzRBFg18MuzivjSS3LgXFZu5f7NAwxORlEpBNyhBD84q5a7NvRTaNEyHoghSvL52D8SQK+C1dV2FpfLhCpRkni9TQ5YFy4qpGU0wKfu28U5C+QSmsOkzS4K/NGpcbUZxKe0jrFFJwfZfneYhmILT++W/U4tOhXBmNzzlXulLs6Y5+C5PaN8uVFFi1w1JxwX6XaGqck3Z5m17bEWntw9NWxw+2sdvHRjPT85t4Y3Wl385q3u7PFNBOJc99BuHr1hGWfOz+OuTy3m1if2kZIglhDRqZQ8tHWIb55ezZ3v9vHQ1iH2j/i575pGLm0sYmmZla89sZcOVxSzVsX3/9XFpv4APzynlpduWckf1/bw8NYh3mxzctu5dbz8pZXcs3GA+zYNoBDgqmXFdDlD7BjwkWNQ0zYmn8tco1y9uHxZMWP+GOs73YiSLMRyyd+3c8niQgosGp7eNcrOAR+/uXQBixbJiy2v10t7ezvxeByTycTg4CAOhyM75z2dyHkgeSrPpCbfrGFZuY0DEQiGaB8Yo23ISa8nxk6nwLVLcg7KIiVJQqeVRTr+U/ioGM06nW5Gluv1ej82s7NHQnyS0j//APzh33ZE/0aYzeYsu/j9gmZmTrSqqmrW/uts+DDEp9HRUYaHh1m4cCF6vR6fz3dMguyBfeJkMklzczNms5mGhga+URwhJfVw0aICqnINlNh0M27AGUQiETo7nfxtfT/3bxnKNtozya8ERBIpSmw6VlXZKNKDJurm9GXzKXZYcQWi/PbtHl7rjVFu03JChYp/7RsjOu10KYDlFTYKLFp6XCF+/GIbIqAUBBaVmjmu0s57XW6+81zrQebaw74okgR1BUa+c2YNGpWC7z/fyv6RALlGmcAzEYhz0+pyvnBSBVq1gge2DPKXdb0oFQK3nTuXXKOarzzZhDecmEEmKLHr+MyKUl5tHp8RYMvsOh68bgmFFh0/f6WD+iIz33u+jebRQDZAr6y0Mb/QxANbhjBqlGg0Cn62TvbcVQA7B3xYtMp030VidbWdSCJF50SIr59WzR/W9iAAk4EwFq2APybx+RMrssewa8BHMCa7FlXmGvjHe3LvOBiTWaeJlPzZGzVKvvf8VAUh8xknRREp/U51KvmxXneYzxwn98BaxgKsqrKza8BHjlHNZDiBL5okEE0SiKVI6YuozHHT55Ez1tteauXRG5dn9/Pts+byWqtsZ6hSgD8u8fiOIVbYY9RotXx/TT5/2uQkEEshCAJ97gg3PryHh65bwuo5OdzzmUZufnQfcUQ84QTFVi2/e6uHr5xaxXN7xtg96OeMP23myZuWo437+O4yJW+7inh05yh6tYKX94+zvd/Lry6ez4/Pncv5Cwu47V9t3PLYPs6pz+f7Z9VyaWMhv3mzm8d3jlBq0/H5E8p5s81JrztCsVXLeCCOO5SgxxVGQjZ416oU+NLM3uf2jqFTCVy1vJi32lxcde9OvnH6HD69opihoSEKCgqoqqoiFovhcrlob28nFotlFZDsdvv7jgjN5iJkNhlZvmAOyxfMIZVK4fF4cDqdbN7ci8FgwOFwkJeX95EEvCNlFx8LJJPJGVVGhUKBzWb7jx7D++FoysVK5PKwEtCk/6nT2zIBHkmSuo/lQR4rTB/hORQy/dfpc6KHg6MhPomiSHd3N7FYjCVLlmQvzmPV351eLs4Yx0+XYqzMNXDnlQ3vt4nsdiRJIs+skWe1jGpWVNhYXGphjsNATZ6RXKOcEQ0NDeFyuWhYvQyFQsELe0b47do+ArEUK8qtNI8GeLljqtekBAwaCMRhW783G6Ak4OwFeVy3qoxbn9jP8nIbb7ROmcKX2XWyCk8kSWOJha+fPod8s4afvdLB5p5JVAoBAbL9qwevbWRFpZ22sSC3/auNppEAp8518PXTq7hv0yDP7x2j2q7GG5GzY7texffPrqXArOXrTzfNkGg8uTaX33+yHr1ayYAnQutYEIdRgzsUR5G29ltRYWN1tZ0/rO3FqleRTElctayEv7zbB0BtgZElRXoe3+PCroVYSuDKehPffbWP0+sc/Gu/nCIuylOx15kkx6BmcYmeFdOce57eLbc+Lk6P7mzv9zInz5Ad/fCk52JtejWh+NT1ZEwHWVcwzv+9JpOQMsYIXRMhatOEt/0jAVZX5/BGq5P6IhPuUAKVAIq0NPnvNwzzmeNKuT/tLrRnOEDnRDDbNzdqVPzkvLl885kWrHo13nCCu3d4uezLx+P0BfnxQ/s5pUzN1lEJvVpBIiXQOhbk5sf2cc9nFrO03MYD1y3hc//cA/EUI74YlTl6/rSul6tXlDDmi7K2w81Zf9nMN5YbuObM5axSKNja76PXHUahgFhS5PqH9nD9qjK+eloVz3x+BfduHOCuDX1s7Pbw7TPn8IdP1rO1z8v/vdbJ3RsHOL7Kztn1+TyxQx79qszVM5gW/U+JEjq1gmltWqJJicd2jGDSKKjMNXD7G128uruP759WkhXN0el0lJaWUlpamp0ccDqddHR0oNfrs71cnU532CNCgiCgVCrJy8sjLy8PSZIIhUI4nU72799PMBjEbrej0WiwWq3/kYD7UVjOZTLZjyuOhvg0H/gZEAKMyEHWimwSoAbeBL4zba72Y4Pp7GKYOUt1JP3X2aBUKonHDzZ3PhQSiQTNzc3YbDZqamoOGgc6FplsZpsej4eurq7DNo4/EJks/dMrSrh6efGsX9aMzrEkSSxevJgRX5RfvNrFpl4vNr0aSZTYPuA76HUp5AALso1YtV1JlUmiodhEUa6Bmx/bh1alYEGRiddbneSZNJh0SnpdEWrzDHz5lGoi8SQ/fqmNfs9UDzApShi1Sq5YUsx1x5dh1av449oe7ts0gFWv4vefrMeqU/H5R/bhDMS4bJ6By+vNrBvX8E6nh7uvXsTrrS6+93zrDLehL66p4EsnV2XP7TPpQOcKxVEqQBJlw/fzGgr4ycvt5BjU+KNJvveJGn7zVje1eQb80QT+SIKXWqLZMvZPz6rgri2jSJJIoeDnbWcctQDehII8kwZnMM7PL5iX3W9SFHkrLWxxwcJCEimRXYM+zlmQzzN75HK0JySfWKtBxfC0U5/JZE3T+rR5Jg2Dk1H6PRHUSgXzCkw0jfj59IoSQPYDBsg3QERUceWyPJ7YOcr9mwdRClNVjV+80s5D1y/Lbvec+gKe2jXCll4vx1Va2dbn45oHdvHGl1dy2ZIinto1yi0nlXPPxkEKTQqG/Cl2Dvi45eGd3PGpxSwoMvPPzy7jhod34wkn6PNEmOMw8Oj2YU6bm8vVC808uj/Ar7eFiegHueXkSr51Zg23PLaP2jwj7RMhiqxaHtgyyMYeD7dfvIBb1lRy1oI8fvKvdn78Ujsv7Rvnp+fX8ewXlvP4jhHuSLPPL19ajEYp8PC2IQQBSq06BiajjAfirKnJYWAykhVgAQglZBa0TgXNriRfemmEXyqtWcZ3BkqlMhtUJUkiHA7jcrlobm4mmUySm5v7gSNCMHuWazKZMJlMVFVV0dLSgkajYXh4OFvByozAaDSag76LxwIfVZD9rxrhSb+mAlmfOAp4gAGgFqhnitlybOZZjiEODLIgX7iZMqrVaj2s/utsOJLsM1OOrq6uxuFwHPR3hULxoSUfQX5v8Xicvr4+Ghsbj/qLlclkD2UdlUgkaGpqIjc3l+KSUh7YMsSd6/uzzONQLIFWpSBywNhCgVnL8gorS8qsNJZaqc03olbKC4yN7SN8/fku9Eo4rVTFH9f2YtQocAbjxJMq1AqBQW+U/3l1yovWolMRiiVRKRV86eRKrl1ZhkalYHvfJD95uZ0+d4RLGgv5yilV3Je2QSu36/jxaiMrawooLy/nvpZmepxhvvt8W3b0BmSyz+8uW8CZ86cMGYa9ER5IZ3EqhWwg0Fhm5erlJXz72ZYsyer7Z9Xwj40D5BhlZu2/miaozNEjkWIiEOPMeXmISjWtzhiNpRZe7pOv0RVFKjaNxLFpBapytKypmdKo3dbnJZwQKbbqqMw1sHfIRziemuF8lJl/1auVM0rgmYA5vTUw4Zcz2UAsRSyZoqHEzLO7xyiy6ii16XD65GAiqLRM+mKsqrLz/J4xllXY6BgP4kpXDHYM+GkZDbCgaGox95crFnLS7zayvc+X7S//5OUObjuvjm5nmAe2DHHrKVX8YW1PVqd4y2CIWx/eys2NevLz8rj7ynnc+kwHo74Y3a4wNXkG1nW4mWNX84fL6vnu8y385d1e9g77+MuVDcwvNBGOp/j+WTX87q0eLDoV4/4YV9yzg6+eWsX1x5fz4HVLeHb3KL99q5uL79rOzWsquGF1OefW5/Pnd3p5fMcwVp18jkQRBiajGDQKJAnWd3nQqRSsqrSyvd9HSpIrGCpBFheJJkW8kQRfeHQfVy0r5ntn1aJRHbw4FQQBo9GI0WikoqKCZDKJx+NhZGSE1tZWTCZTdkRIo9EcUZYLkJubi91uR5IkAoEATqeT3bt3y+SrdFnZYrEcs4D0cZFy/DjhaOZk9yAziWcgLUjxfWTlp48lDiwXK5VK/H4/7e3thwx4h4vDDbKHU45WKpXEYrP7mh4uMpllKpWaIUl4NHi/zDoUCtHc3Ex1dTV7XRJX/3FLtl+V+domRFArodSsYFWZkVMXVrC41EqOcfagv2vQz9df6CHXpGN5uYXH98rkmVBcPgZfVCbiqJXyeyq1aYkkRNyhBOcvLOCbp8+hwKIlEE3yv6/JqkWlNh33fGYxFp2KG/+5lx5XmCuXFHBqrp95NZXk5+fzXpebN1qdCDAjwNr1av5yZQNLp5FQel1hPvPALhJpUQRJklhUauELJ1XwlSebyE1nn19aU8krTRP4owluPKGcO97pY3GJ7KNabNMRSyj45hnVXHTXdgRgjl3FnqEUOXol43ENuUaZENVYqGD7tm0YDAby8vJ4eodMeLp4sexGtKPfC5DtsQLZeVEBAa0qk+2AMk2EUQhCVhpSpYDafCNNoyGGJqMsLLbwyLZhrn9wN6lkkrF0uXzYF8OoUfJOh4ez6/N5s83FW19ZxbUP7KTHHUWU5Gz2sWm9WaNWxa8uns/Xnm5mNG0G8OyeMc5akM8fL2/gint28MTOEb5wYgV/f6+f1dV2NvVMsmU0RVmBkc8Xq/E5h/j6Qok/7VUy6E/S5QxTYlEx6E/yu7e7ufvTi/n2sy2s7/Jwzh3buGVNBT9+qR2HScMTNy3jW8820+0MU5Gj53dv9/BOp5tfXTyfTy4t5uS5ufzytS7+vK6XV5sn+Pn5dfz0vDquWFrM/7zSwZ60jCHIBC+QF1XRpMiWPh+FFg3ReIpQPMVx5WYG/Un8sUi2AvL4zhFeaZ7gjisbDinmn4FKpSI/P5/8/HwkSSIYDOJ0Otm7V545z2S5ZrP5A7PcZDI5Y4FssViwWCzMmTOHeDyO2+2mv78fv9+P1WolLy8vO+/7YfCfziA/7kH2mC050oIUm4FvHuttHytYLJYZmWwymaS9vZ36+voPFWDhg3uymXL06OgojY2N79vv/bA92Xg8zv9D3luHSVJf3/+vau/p6XF3d18XdNHFYXELEAgElyQkwCeEGCS4heBuiy4strv4+u64u1uP9/S0d/3+qO6amXUD9vvLeZ55nt2Z7qrq6qq673vvuedUVFTg5+eHTqc76JXl7uQsh4eHqampIScnh7CwMP7yeZMcYKMCNJxZFMVfTs3k3SsKefJYHS+fn859K+ZyTGb4bgPshtYRrnmjgqgALa/9qphNXrKRn1rBwuQgtCoFaoWUlWkVbuICVHSP2Ykwann9V8X866wcIgO0rK03cdp/NvN+WS9XLIrnvavnUtY1zgXPb2fS5uKxM9M4IWycwtxsIiIisLvc3PlRHTBbQSU2SEt8iJ4/r26Qz0HDwCQXv1QqawGLIuTGBHDHcWnc/n4N/lolpkkHK4qj6R6zUtEzwY1HJ/P8j51kRRio7JmQ3GLGbBTHB/LAl83YXR6WpQXwcbXEkD4pL4qWoSl5bOSuMwqZO38+KSkpWKx22SCgINCJ2WxmS8cYKWFSPzbKKJ3bYW+QdXk8qJUK1ErFTsQ2o06NUiFg0KnxiNLDsWvUKjvy9I9NMmpzMbMIkRpu4LOaAX5oGWHK4eaJb9vpMzvloFLRY6aie3Zr4IScCBanBDNkcbIoORgBuPndanRqBY+fl8ewxUFp1xjnFEexoXWUI9MkBvXK8gHerbdRWFjICUcu5Mmz00g0Sgu4PrOLYL0Ss83FTe9W88CZ2cxLDKR3XKpwxARqefbHDjIiDKz89VwunBtLx4hEaKrrM3PmM1v5sLyPMIOGh1fk8tT5+ZhtLi56sZS/fd5IQoieN64s4d9n5xCkk/IRvVpBbKBu1nz4oNnBmM2NQiGwscPMVYsT+Oz6BfzxxDTyvBn9hM3FNW9U7vKa3x0EQcBoNJKSksK8efMoLCxEr9fT0dHBpk2bqK2tZXBwEJfLJZeNfdns6OgoZrMZjUYjezP7DOoBNBoN0dHRFBQUsGTJEuLj4zGbzWzfvp0tW7bQ2tqK2Ww+rOQJd4fdGQQcLjhQMYpgpP6r1vujQfKU/S3SrCwchuVirVaLw+HA7XbT1taG0+mksLDwkAwv74ld7LPDMxgM+2SHdzA92R0ddAYG9sWvYe/Y8Zi7u7sZHByUy9BOp5P7Tk6j1+zkjKJoAnTSanhiYoKamhqysrIIDt7zKv67pmFufreapFA9L1xaRKhBw4uXFDE65WBkysEtK2txeUT0aoHcGCOVPRN4BJFr5wQyJ9hGf2crH/T6812njTX1w2RGGnjy/Hz8NEp+/UYF1b1mdCoFmWFaAqy9FBQVodfr8YgiV71WLhOFfJDmTO0oBIGL5sXh8ojU9Zv59evlsnITQG6MkT8vz+CaNytRKQRGp5wcmRZCcqgf/17bwq+XJPDO9h60agUmi4PoQC0N/ZNEBWhpGJika9SGQS0wNTWFS4S0MD82to4SZdTSb5ZKyLFBel7f0s3b23r47ZFJOD0QE6glPSqA5pZWtraNcGSinsruMdIi/Ok3O2RVoY7hKdyiB61KuVOQ9deqGJtyolIomPAukDpHrCxNDUanhL5J96yedHywDpvTjdMtMmJxEhekY1PbKBa7m1CDRG5yi/C3zxpZec28Wft67Nw8jnx4PV/VD3FWYSQfVgxwxatlrLx6Hn85NZM7P6pj2OIkM9LAj80jHJkWwvfNIzy3vhOjTsXl82MY6e/m8bPS+dt3Jja3jzFidaNXgUYhcs2bFdxzQhJ5MUZe2thN77gdxu182zjMMZlh3LM8g8Wpwdy9qh6PCJFGDXetquebxiHuPSWTYzLDmJ8UxGPftPHGlm7W1Q9xz/IMTsmL5OiMUP7wYR1fNwzRb7Zz1eI4esfsfFVnkvvRdq85xJ8/beCMgkj+cUY2jYMWOkenODYzjCKvJ/CBwhcYo6Oj8Xg8TExMMDQ0RFtbGyqVSu7z2mw2mpqaZmmrzywrz+zl+v4dFBREUFAQ6enp2O12TCYTLS0tWCyWg3bJ+amxO1OCw6Unu98pjiAIfsCrwH+9P/8BngPeAwqAW2B65Odwg0ql4qSTTqKvr4/g4OBD9kXsLvucmpqirKyMiIgIUlNT92l/ByrRaDKZqKurIzc3V5Yig0Mrlu3xeGhoaGBiYoKioiJUKpXcPz4mO5JLFybIAXZgYIC6ujoKCwv3GmDX1pu48Z0q0iMMvHxZMaHeTDc6SMeH5f3c8E4NLo9IQUwAaqWSyp4JLpgby0uXF2MICuXBKhV3fD3O/63p4ZvGYc7N1PKv48PZ3DLEOc9uo3PE6h3ngVR/J8XFxdK4lNXJr14po7RrYqdjKokP5OkL8vns+oVcvjCeiu4Jrni1jCmHG41KQETqK//zjGxuea8au8uN1ekhJ9rIiuJoHlrXwhFpIXzbMETHiE22RROBqEAtfhol/d5e6IpsAxt6pSB3bFY4bcNTOL3XwJ+XZyCKIu+X9aFTK/iiVrLKO7NQeuCu6tFhc0NhQjB9E06M7unPIgCjVhcejyTDt1Mmq1WiVAgoBBialAT0O4YtVFZUkBmuI9KbFWu8Q9FFcYE0DVoI9VOhVgo43B7ahqeIDdIRqFfLAaemf1IuYftg0Kp44ExJ8eiH5hHSwv2o6Zvkme/bOb0gil8tjKN1aAqVQiA90p+tHWMsSg4C4OF1rdz02kbKJo2ERUTyzEUFHJMRhsMt4hQV2D1KkoK1/PmLdpo7erllnr/8cLtrVR1u77lclhnOR7+ZT3aUPx0jVpJCdHzdMMRp/9nCd41DGLQq/nRSOm9eWUKgXsUN71Rxy8pqpuxunjw/n18tjMftEXlhgzSne3WeitNzp+813939ceUAb2zp5tdLEgg3avmkchCnWzxk96JvTCUtLY0FCxaQm5uLUqmkurqa8vJyeVzR4/HslOX6SssulwuXy7VTlqvVaomLi6OoqIhFixYRHR3N6OgoW7ZsYdu2bbS3t+/Ebfkl8f/HcrEDsAJDSIIUpcA6JJu7rUDfITu6Q4zy8nLa29u5+uqrOeKIIw7IJGB32FWQHR4eprq6mqysLKKionbzzp2xvzO3oijS3t5OT0/PTqXo3ZV6DwROp5PKykp0Oh3Z2dkAcqlKo9HMUKyRnIp6enooKSnZyWR9R3xWPcCtK2vIizHywqWFBPmpEUWRtfUmjntsIyvL+tCpFCSE6KnsnSA1zI+rlyRS3z/J2f/dxkPrWmVmsZ9GyarrFvCrY3L5v3UDPPRNB6kBIgEamLQ5OTJey8vVNr6oH6FhYJIVz25h2w6s57xoIxfPi+X5S4o4OiMMpULgx+Zhfv1GBQ6Xx+ttKp3Tf52dze0f1DBodqAQBML9Ndx5Qhp3flSPQatkfcsIzUNThPipsTk9FMYG0Ddu52+nZdE5YsXpFskJ11A5Kp27xclBfFU3SHywlmGLk/RwA5lRRmr7JmkYmOSMgii+8wqILM+TSFg+84GIEClTOqooXf4sPq6NgAdEEb169sPIoFUhCNJois0lEh2opbpjkOjoaOamRDBodqBXK3B4o2dKmF7SiY404nKLMrlKpRDoGJ4i0l+Dt1XO1W+UM2qZzbg/LjucpakhDFmc5EYb0SgFnviujcaBSW4/Lo0QPzU1fZNcf1QSATo1LaYpCmOk6/m7bjeP/tDHUQ9v4O5V9VwwN4blueGStrUg0D3uJD3CwA+9Hn7ogyeWR6JRwJjVxbJHfmRgRPqeIwO03HtqJlqVgvYRqY88OuXkurerOPbRDWztGKEwLpCVV8/llmNT+LZxmFOf3sI723u4/bgUzi6S3LDMU3aeqXIxahd56rx8wvylETeVAHGBWs6bG0tiiB9vXTmHI9ND+fsXTfz50wYc7kNf5NPpdDIxaunSpURFRTE8PMzWrVspKyuju7sbm822U8AFdgq4Ho9HfmYoFApCQkLIzMxk8eLF5ObmolAoqK+vZ/369dTV1TE0NDTrPT83/n8XZEVRdImieJ4oileLonijKIp/EEXx/0RRvAFpfOdp4XDJ02fgrbfe4pprriE8PJxzzz0XOHTzqDtuSxRFOjs76ezspKioaL/HZvYnyPrMzx0OBwUFBTuRFg7VOJDb7aa8vJzY2FgSExNlVrZSqUStVssB1uPxUFNTg91un1Wu2h0+qujj9x/WUhwfwHMXFxKgU1PbZ+aKV8u56d1qhiYdGDRKbN4sMDvKn6peM//9sYOeMRsRXr9Um9ODSiGwICmYbR2jnP9SBU3DDu4+KR213p9+s4vjEpR81mJlQayW8fFxLnxhO4OT00HAT60gLdyP6j4zm9vHsLuk72BtvYnfvl2F2+3BoFVid0k9zsxIA4993UbzoIUgvQoQOS0/kitfq2DK6cbpEhFFyIv2Z9LuoiA2gO1dE8xNDKRjyIzLIyIAFy5MoqxrAgFYkBxC+7AVlzeo3XWSFDDfK+tFq1Jg1KlwukVig3SkhBmwOFz0jdsI1KlkbeS08Gl9Z18v1eURcLndOK2S0YXJZMLtdmPUqRBFZIEPjdvGqFNJdHQ0+bFG3CLkxRjlTNbtmS4ZiyCXkjtHrLhFmJ8cjC+G2F0if/1imv3tw6Pn5qJXK/i4coAbj05GFOFXr5YDIhd6R4b+/GkDfzs9k0mHC9O4hfQwvSyhuSg5mO+bhvnNm5V81zRCbrQ/EzYXeo2SlkELBo2S7d2TvFnv4LPrF0hiJBY3y58p5b0162loaCBEaee5iwtQKwVUXiKYUpCUnC5/pYKLXtzOj80j/GpRPB9dO4/0CD/+srqR4x7bREmUhuwQBRaXJEJR1jXOze9Vc2puBMdmhOESoXvczilPbearukEMGiVPnJ/HtUck8l5ZH1e+Wi4vTg4VBgYG6OjooLi4GK1WS2hoKJmZmSxcuJCMjAw8Hg+1tbVs3ryZpqYmRkdHZULUzKDr8Xhwu927zXL1ej0JCQnMmTOHhQsXEh4e7hXC2EhpaSkOhwOr1bqXoz20EEVxJ6WrwwmHmpy0EjgBaX72sMHKlSt57733+PrrrzEYDHJ581AGWV9g9AU9q9VKYWHhAY3N7Gu52G63U15eTnBwMBkZGbskOB0Kd6CRkRFsNhtZWVmykoyvDzIzg3U4HJSWlhIYGEhWVtZeCVfvbO/hTx/XsyApmP9eXMiUw81dq+o497ltVPVKJU8BSdtWpRAYt0qi6nHBOtRKgQGzncFJB1EBWv56aiaf37AAgP/7tJHMSH/e/fUc1jUMUtlj5uLiML7s8DAnPpCYECP//KYXRI8s5WjUKJhyepi0u/nraVl88Ju5aFVKPqnq55aV1YiiiFGnwub0EBukw+7y4HSLlHaNExWgZWjSgUeE//zQgcPt4fw5MQToVUQFapl0SMGsf0I69oquCR5cKxkbnJgTzn+8Lj9nFkWxsqwXo1ZJ34SD6AAt85MlFajV1QOcmBPOFzVSqfiMAqkysq1DMlEojA+gptdMUqh+VknY97hxekREQUl0eAiRkZGMjo6ydetWbJNjuNweLA4vYS00kH6zE5fHI9veBfupcbhF3rqyhN8elcyyzHCqes0kBOvwU0tmCyLgr1VitrsI1qvkwPVFjYne8dkP3a3tYyxIktoHL23s4sTscMasTm56t1r+/ZTDzYNrmrgqR8nAFIT4a4kL0iEIsKFthIfOySU6UIvF4aamT5oYGJ1y4qdVysIbG1pHuf7dGq5ekgCA1QX3bnKwfUiByWTC2VvPTXMMeESRcH+p1B3hLy0Ky7snuP6dKo54aD0vbOjk7KJo0sL9GDDbufuLDvqtCgJ0Kj6pHODpCwo4ozCKVzZ3U9Ezzql5EQgCmMwObllZwyUvlVLVM8FNx6Tw0Dm51PaZOe/5bdR6LfoOFn19fXR1dVFcXLzLRa3BYCAhIYGSkhLmzJlDYGAgfX19bN68mcrKSnp7e3E4HPud5frmfbOzs1myZAlpaWkoFAqqq6vZsGEDDQ0NjIyMHDJ3sv3B7sYNfwkcUJAVBCFEEIQ4QRBSBUHIEwRhniAIJwBPI5WQD6vc/YwzzuC9997DaDTOGuNRqVQHZNy+K/gyxvLycoKCgsjMzDxgVu++BP/x8XEqKipITU3do5/uwfrc9vT00NbWhl6vx9/fH6fTicfjQaVSzbqhJycnKS0tJTk5WTZZ3xNe29zFX1Y3clR6KA+tyOXljV2c+MQmPqnsJyFEL/twioBWrSDMX4NSkHSSu0dtON1S0HvonBzW3byIIIOaC17YzvfNw9xxXCovXFLEI2ua2Ng2zhXzo3ivepT4YD1Oj8iHVUME6lWzZB1B5MIsDU8tj+D4VANKQeDd7b3c+WEdAhDop2bK4SYx1I+TcqQybevQFP5aJT3jksZwiJ+0oPrz8nR6x22MTkkl0fZhK5mR/gxNOsiN0OPyiPgEpKIDJDEKrUpBkF5N96gNs1fP947jUwFYU2di0u5meW6E7N5zcq50DJ97g+6J2RHU9JnJ3cFxJTpgem7W5fZg0KgICQkhIyODrMI5mBxqnB5RPt+C24HLI9I7ZiM6QEuoQS2Xxn2Z8vHZ4bg8IpmR/kw53XJQc3lENrWOcoHXrMCHW1fWzDqm2v5JvmsaRqMUGJlyYtBI3+83jcN0DEs92UWJ/jQOWmlxBPJ/yzPY3D5GXoyRUIMajwg3vVtFTtR0hagoLgCjVjnLwEGtFOgYmuT98j4CdCrSIwyIwN/WdfNem4IFCxZw/tJsblgYhmnSSaReYMLqRKcWUCunR2M+qx7g7k8aGJ60szBaSVKInlGri5EpJxaHm1+/Xk58sJ4nzssjSK/2zkH7oVIKGDRKWoenuPDFUm59r5rcaCOvX1ECwCUvlfJZ9cERE3t6eujt7d1nAR3fiFBOTg4LFy6UJR8rKirYunUrra2tTEx4F7j7meVqtVoMBgPz5s1j/vz5BAcH09fXx4YNGygvL6enp+egRxP/X8R+RYEZZeDHkXqwLyCRnx4D/g7kAHcDO7NI9oCRkRGOP/540tPTOf744xkdHd3pNV1dXRxzzDFkZ2eTm5vLY489Jv/t3nvvJTY2lqKiIoqKivjss9kGPzOHuGcG2UOZyY6NjWG1WklNTSU2NvagtrW3Em9/fz9NTU3k5+fvVaPzQMvFvjnbsbExioqKZilaqdXqWTf00NAQ1dXV5OXlzSJc7Q7P/djBP79s5risME7ICefs/27liW/bCDdqWJYVjtqbBRk00uVpc0rl2WVZ4WiUAi6PyMLkIL66cSFHpIVy9yf13PhONeFGLe9dPZcrFsVzz0eVrGsa5Yr5MXxcM4JOrWDM6qRhwIxerWDcKkU5jVLgxqOT+frWpdx51nyCA/zp6Ojgvnd+5N7VDQgChHjdceJD9Lx4aRFvb+uRP8uk3c2i5GB+d3wqnaNWLpoXy6jVxQ/NI5xZGMXaeklQf0PrKOfkhfBt8ygz9drf3i4pRpXEB0jqSd47MsRPLQfz90p7SQjRM2514fJIpeLUcKlY5NNTzoryp3/CTn6MkZnVspmiEB5xNvHJ7vRQ3WeZxR5We7/XrzaUUldXR0aYjs4RaTGxrVPaV2FcAGH+Gjkwg0Sqsjk92FwekkP98FMrZAOJql4zPWPT2ex1Rybx5pUlJIZIvfoPKgb47RGJKAT4y2eNJARpGByzcP2RiXxWO8Skw801SxP5vMbESTmR6NUKXB5JhvMPx6ciIGWegiBQHD+9yHC4RdwITNndWB2SJvT9Z2Tjp1bw5tYeLnqpDJVWz7XH51MUF8CA1TtPqhZwukVUCrDYJd/jkzICSAsUKDOJtI9YCfFTo1cr5P08+nUrN62spmVoCr1aQd+4VWagT9ndHJsZxvdNw5z69GY+qezn+UskNas7PqjlkXUteA6gxNnV1cXAwIB8f+4vfCNCycnJzJs3jyIv276zs5NNmzZRU1PDwMDALkeEYDrL9VW2fHO5MB3Mc3NzWbJkCampqXLlbePGjTQ1NTE2NnbYlXZ/ChxoubgW2AZ8g+S+8xbwb+BsURQ/8jGLvTrHe8X999/PsmXLaGpqYtmyZdx///07vUalUvHQQw9RV1fHpk2beOqpp6itrZX/fuutt1JeXk55efkebfB+iiDb09NDS0sLer3+kAhT+1aNO0IURZqbmzGZTPINsTccSJB1uVxUVVWh0WjIycmRSy9DQ0MoFAr5hvb1ntvb2ykpKcHf33+P2xVFkSe/beORr1tZlBxM/7iNuz6uJ1ivojg+gK5RG1vax2j2Wt3FBftxw1FJvH5FMSVxRr6qM+Fwi1y+MJ4XLy2mYWCSM5/ZyscV/fxmaSJvXzWH9Ah//vJROZ/UjnLxvGi+bh7F4nAxNuX0ijAIcpA7LiuMb29dwnVHJmHQSpl5ZGQkP44aeafRhUKAYJ3A+JSTUJ3A/cdHY1TD5Qvj0XkZRZfMj+OmYyS1ogVJQRydEcaT37ZxbEYYX9aayIr0p7RzjNQQDR77JHa3JEEYE6CVVLC8veSNbWMApHuD5/VHJXlF86fY1jnOOUXRfFwp6Rn7SsVmm4v+CTuBXjUjkMaJJh3To0iRAdPtCqfbMyvIDg/M9sU1aJSotdI15ReZRHR0NIlGaBu2khQgsKllCJvNhkIQWJYZxvbOMXKj/VErBTlQKxUCG1pHuXBe3Kzg/ceP62ftqzAukPeumctZRdJnue/zJo5MC8XlEembsNNuhmuOkOQPH1rbwhyvVOVrW7q5fGE8SgVYHW6e39DJJfMlK7fYIB1lXRP4exdnCkHqNU863Di9B/Pc+g7W3rKIhGA9lT2SwUD3qJXXf1XM0RmhWF0ig1MeDBolLo8k3uER4YvGCdyCmjcvz+f+M7PJjw2QyWA+BOpUBOpVWJ0ebN7s3+Jw4/KIfN0wxOkFUZxeEMmrm7u56MVSjskI5ZyiaJ5b38kNb1fJxg77go6ODoaHhw84wO4KarWa6Oho8vLyWLhwIbGxsZjNZkpLS9m+fTvt7e2zDFZ8QRekgNvf349Op9spy50577tgwQLmzp2L0Wiks7OT9evXU1lZSV9f3wGp3O0uSB8upWLYzznZGU48/9jda7yBVfASpPYpgn388cd8++23AFx++eUcffTRPPDAA7Ne45sPA0keMTs7m56eHtkEeV9xoMbtu4LH46GpqQmXy0VRURGlpaUHvK2Z2FU/YUcHnX29iPY3yO5oJOBbrWZkZDA0NER5ebnci5mYmEChUFBSUrLX0rgoijyyrpXnN3QSG6RjY9sowX4qlqYGs71zXM6KkkL0/HpJAsdlhRMfrGdtvYmb361m2CK54/zl1ExOzY/kgS+beGVzNwkhel7/VQlF8ZI59v0fbePdKjNnFUZS1m2ma1RS3kkM0dMxYqUoLoDHzs1DqYAQg3anY3x4XSsveO3PogO0kvtLkI6nV2QgWqUSvWPEic3l4biMYC5fGMuFL5YRFaDlTyelc+Vr5SSG6BmdksquoQY1zaZJfjc/iH9u8j6gAIdHlIUmQHpARwVoaBiQiDvnzZGqIR+U9aEUBI7NDOOxb6Q+7kneUvGWdqniUxQfQHWvGYUgZbSTNhfJoZIwhSgKsv+oW5QCqW+xZp+a3SsN9lMzYZMkMLtHbQQHxxEcEoqImfToYD6sNLGxtAqDSiQ30I93nB4yI/3lnihILOVvGob44DfzeGVjpyQ3iNQ7bhuykBw2TddQKxX8/fRs+sZsbGof49umYbRKqXcKblqGpvj76dm0D0/xuw9qee1XxQxM2Hj2xw5uOjqZR79uZdzqYm39IFmR/vSM2ViUHERlj9TrnBnkfTO8hbEBBOk1rL5+AbeurGZtwxDLn9rM4+fl8cR5+dz2XjVr6oe8blBT8jZUCoHKASuXvVrJZdlqbp0Tzh+OymVLr4OVZX3U9JkZtbooiQug32ynOD6QbxqHmXK45b74O9t7iQnU8tQF+by5tYeH1rUSG6jl7KJoVlX2c8EL23ny/HySQvfMxm9ra2NiYoKCgoKfTMJw5uwsgM1mY3h4mJaWFqampma5CCmVSjo7O5mYmCAvTzIc8c3l7kpfWa1WExUVRVRUFKIoMjExgclkoqOjA0EQZLlHn6rVnnC4M4th/8vFSkEQ/PfEHhZF0S2Kkk2HIAh/EwShaG/bHRgYkANodHQ0g4ODe3x9e3s7ZWVlLFiwQP7dk08+SUFBAVdeeeUuy80+HKpM1qeqpNfrycnJmZXdHWr4Zm2jo6NJSUnZr1Xa/nzG0dFReeQoIiJCLgGpVCoCAgJIS0tj/vz5ZGRk0NPTw8TEBJOTk/JNv7vPLooi933WyPMbOiWlnjEbfholo1Mu1reMYnV6ODEnnO9uW8wbV87hikUJ6FQKbn63mpvercbicKMUBB48J5fsKCMrntvGK5u7uXBuLB9cM4+i+EBcLhePrtrCq5VmTswJp2vURm3fJB4RkkP96Bixck5xNE+en8/K0l4ueKFUJvuA5M36t8+b5AAbF6RjdMpJuFHLS5cVkxQVQnJyMmJ4Gs9XOyiI0nN+qsivX97CpM3JfScmcN/qRqYcbhalhFDWPcEpeeGsbx3l4oJAJnXhstgDwNiUt/SuFPj1knjGbS6C/aQRkCsWxaNUCLg8Hj6q7OfI9BAqeibwiNJxpXmzXd+87AnefmxKmAGDRkVkgI6j0kPRqhRY7C5ZfhIkxaKamho8Hg9FBfkoZz0BpJGc+GA9naNSAPYRrXQaqf/uDkmiuLiYhSmhGNQCnX2DCEyPCoEke9k9aiUr2jhLPeuuVbOzWR+euiAfr0Qwes30uv/9sl78NEqePD8fhSBw63s1/PPMbOKC9Dy3XiIjuTwig5NOJh0uHC4P/RMOLA43vz8+lYRgKSvXqhSYbS7ig/Vcc0QSIGXcj5+fz23LUnB7RH77dhVPf9fOv87OYX5iEJ0jVo5P0ZMTJn1ul0fELUKov5b/VDp4qnSSIdMg8c5O7lmg4c0LUrj/9AxuPjaFEYuTZtMUX964kGcvKuD4rHCZCNY7bue3b1dhd7m5YlE8OrWSD8r7SAzRM2i2c8EL21nfMrLL8+Tzgp6cnCQ/P/9n1QjW6XTExsZSWFjIggULiIiIkEeE1q9fT19fH2lpaSiVyllCF7AzecqX5YIUdAMDA0lLS2PhwoUUFRWh0+lobW1l/fr1VFdXyyXrXWFHmzsfDqdMdn+/pQKk/usVgiDkCIIQLwhCoCAIakEQtIIgRAiCsEgQhLsEQfgKKASmAARBWCsIQvXMn7y8PD7++OP9OoDJyUnOOeccHn30UQICpP7LddddR0tLC+Xl5URHR3P77bfv9v2HIsiazWbKy8tJSEggISFB/kIP1bjMTIyMjMwKfPuLfT2m3t5eWltbKSwsxGg0ygQntVo9a0THl+mmpaWxZMkSSkpKMBgMstRbfX09w8PD8j49osjZz27lHW/vUQQ0KgULkoJIDpUegn89LZNHVuQR7q9FFEXeK+3l1Ke38F3TEBFGDW6PyEPn5NA2ZOHCF7czaXfx7EUF3H1yOtW9E6yu7OG/n23hhcoplqYGMzrlZFvnOBqlQHSAls4RK384IZXkUD0nP7mZJ79rp3/CLpdYXR4Pd6+q561tPQhIWe+wxUGov5aXLysi0kseahq0cOM71cQH63nmkhI+6tLQOSHy5xMS+Lish+1d45ycouXtbT0cnRbM6sp+ciN03LK8kCe+bZPP9d0np3PlYskX9t7l6Tz7YyfxQTr5mH+9RPrb900jDE06OKc4ho+9zjq+UjFILF2QRlqqeydkKUSAnjEbGpWCtQ1DKGc8cIYHevH39yczMxNBENDOiLJmu5sBs52EED1d3iCbH2tEIcDwpJThbusYQ61WExcTzXHZkTSOKyiOM6De4UnyRU0/95+RPet35d0T1PbPpmt4PB6a6mv5wxGSrKkoihybIUkqftM4hMPtITZIzyMrcukYtvKPL5p4+sJ8AFaW9RETqMXtJWoF+alpG55Cp1JQ0TPBZzcs4LojE/n42nk8f0kRwxYnl75cyobWYZnZ++slibxwaSEapcB/fmjn+rerePCcHML0Cta0WsmMCeGNK4pJDNEjerPyG45K4uumCX7/zThCVCbJyckEqj1EO3vB1MyfjgqndcjC9W9XUhwfyGPn5bHlD0fw77NzCPdXo1YK9IzZeGljF91jNnKjjZgmHUza3XhEkd+8WcErm7p2cglrbm7GZrORl5f3ixqSz5ydjYqKQq/XEx0dTUNDA5s2baKxsZGRkZHdjgjtTQjDx69ZvHgxsbGxjI+Ps3XrVrZu3SqXrH2v31Ume7j1efe3XFwmCMKnwH1IYzo1SC48biQv2RAkucUp4EfgTVEUm73vPW5XmwSIjIykr6+P6Oho+vr6dhtMnE4n55xzDhdffDFnn322/PvIyEj531dffTWnnnrqbj/DTOP2AwmyAwMDdHZ2kpeXt5PIgm97h6J8IYriTtKFB4K9BVm5dOidaxUEQabzq9XqWZ9lZGRE1nr2LXBmln48Hs8sn0yDwUB4eDhDkw4EYGlaMOfNiSUnyshN71bTNWrjwXNyODlX+v7ah6e499MGtnSMURwXwMiUk/4JO3efnMELGzqp6jVzSl4kfzopje2d41zwwnaqes1E6AWGbSKFcQFM2t2Ud08QoFPh9ohYnW4umhfLcz92MuI1ZBeQJBNDDRocbg9/+LCWL2tNKARICZXGNIL9NLx8WRE6tZJfvVLGlYsTuHd1A1q1gv9eVMjK0j5WVw9yy7EpTLgVfNRg4azCKDa0jhDup6THNILLI3D70gje3tIpZ7EXzY3ltIIoTnpiE/MTg9jcPi5J/AVo6RqzcfG8WNmt5f2yXsL8NeTFGGXBjBO9peLRKQeDkw4C9SpEJN/cmUG2e8yKn0bJ0KRj1ko6MiyYpKQk+f96jZIpH5NblJx74oJ0bGgZwSOKZEcZWVU5QFXvBIWxATL5CWBZVhgfV/ZTEB9NafdsBaDVVQMcHzrOvBgdW3unzVdvXVnDlzcuAqQHZEVFBWFhYZxfkMAPfVV83TCEUafhX2dn8/sP6rjj/RquPyqZBcnB3HliGn//oonMSH+euTCfy18pp3/CjlopEZUGJuyyE9NXtSb6jrNz49GSn2tCiB+v/aqYa96s4Lq3qnC6RZbnRnDTMSksTA7hixsXcsHz29nQOsrZ/9nE3UeH8ad1w3xYOUBmlD+f37CQD8v6ODYrlEC9hiPSQvnDR7Vc+VoFly+M55Zjk0lOTsbhcBA7NMTNk1M8vMXM5S9s4pEz04mJDOOUvEhOyYuUg0B59wSrqwf4omaQCZsLjVLBlN2NB3jgq2aqeib4+xlZaJQKGhsb8Xg8MkficEB7e7us/KZQKEhMTJRN5AcGBmhoaMBgMMguQlqtdr9chBQKBcHBwbJanM1mk58tVquV4OBgDAbDLhcch8s5ggMTo/hQFMV84GxgO5KBexKSn2wD8AZwiyiK9/kC7N5w+umn88orrwDwyiuvcMYZZ+xqv1x11VVkZ2dz2223zfpbX9+0yNSHH34o9wV2hZk92f1RfPKVagYGBiguLt6litGhIlJ5PB7sdrt8AR+M9+OegqzL5aKyshKVSkVubu4s5w6NRjMrwPrIXcXFxXKA3dW+QkNDycrKkscDpqam+L95Sp4/0cBdS0NID9HwmzcraRq08MR5eZycG4nT7eH59R2c9d+t1PVPcseyFMasTgbNds4pjuYfXzTRNjzF1UsSWJgczCUvlXHTu9UMT9o5KUnJuANSwgyMTTkp754gSC95uBp1KjRKBa9t6WbUKhGfjskMQwRuW5aK1luS/rJWct7JiPBnwGwnQK/mpcuKiQ7Ucf+XTWzvGuefXzYxYXPxzIUFNA5M8ujXrSzPjeCknHAe+KoZf62SSbsLk8VBcRg0jQvcviyZmAA1D65rByAhQMUNiyN4/scORqac3HxMCl/UDqJRClT2TKBUCNxyrBQUTGY73zdJDOWvG4YQkUQgfKVin0tQfLCeez6RyrC50bMz2UCdCo9HnMVcjY2Yzf72EaEEAdyiiEeEUIMGm8uDyewgJ0ois/VN2MmJ9qe+f1Im6CxJDUGvVmC2SgEiSK+SmeETDhH/+Cx+s3j2eFnXqI2tbcM4nU5KS0uJjo4mIUGaY33w7BwMWiUfV/YTHaDjnOJo1tYPce5z23htcxcXzI3hnOJonvmhg36zg4dW5EqMaa+KlYgkxI8gSV6+tqlr1r4zIv1544o5xAToUAqwpt7EqU9v5i+rG2gYmOTz6+eTHapkyOrhD2uGuPukdFQKgQe+amF9ywhnFUcTqJfuxfzYAN6/Zh4XzYvllU1dnPvcdur6JUH+mJgYrjxxLvefkU3dkJM/fNrChs1bKCsro6urC7vd7mVCB3L3yRl8c+ti/ntRASflhqOdURL4rGaQ4x/byLfbqgDIyso6bIKHr0W0Y1btM5HPzs5m4cKFpKSkYLfbqaqqYsuWLbS0tDA+Li0Y93dESKfTER8fT0lJCYsWLZLnvU0mE9u3b6ezs5Opqalf5HzsCQc6JyuIolguiuK9oiieJYrisaIoni6K4vWiKD4rimKD73X7sr0777yTNWvWkJ6ezpo1a7jzzjsBqYTpYwqvX7+e1157ja+//nqnUZ3f//735OfnU1BQwDfffMMjjzyy233N9JRVKpX7NCfrkxMUBIH8/PzdzqMdiiDr6/UqlUrS09MPuiy0uyBrtVopKysjKipK6jWKIm63G4VCMas8LIoijY2NDA8PU1JSgk6n26f9+hiFqampHH/kIooLCxiYdHHZK+V0j1j489FhFEdpqOmd4IIXtvPwulaOTAvluUsKeKe0lwGzg+RQyZxbpxKYtLt5cWMX93xSj1at4I9HRXJtvpIN/QIhBg1DFgdtw1aMWiVjVid+agX9E3aGLFIWfVpeJC9eUsiE1UmEUcMJOeFc91Yl33slCnOjjfSOW/HXqXj5siJig3R80zDEqsoBogO09IzZeOzcPNRKBb/7sJacaCN3L0/npner8IhQHB/Imvohjk9Q8m2PyNLUEC5ZmIhHH4pblJiu/zknlYrGDl7a2MnSeC1f13bhcIskh/nhcIucmB2OwWuk/lFFP25R5OyiaD6ukFjFp+VPV2y+8hq2GzRKtnaMofSSngDJFN7mIlCvnqXKBDtrFxu8/1cpBNxetqxPerFr1ErWjFnUID9pRrWsa1x+3RFpoXzfPMxR6SGSjvCMnX1SbWJxTiJHpoUw80Hwu/cq+eGHH/D395/FxteplTy6Qlog3/BOFXccn0piiB6FAP/8spnr3qri2iMSKYoL4K6P64gL0nPnCWmM21wUxhrlfbi9x/DW9h4sOzB2Y4N0vHlVCTnRkixkcXwAK0t7ue6tKk59cj3XL47m0vmx2F0e7lpVz1leK8Hr3qqkY3hqVilSr1Zy98kZ/PeiAsasTs5/fjvPr++Q939qQRT3nZZFeb+dd7r8SU1LRxRFWXmpubmZsbExVAqBI9JCuf/MHH68YykPnZPLgiTpvAxZnPx+7QgZGRmHVYA1m817LVsLXhP55ORk5s6dS3FxMQaDga6uLjZt2kR1dTX9/f04nc4DknsMDQ0lNjaWuLg4srOz5XO7adOmQzaaeShwQJYKM0Z0fNW3Hf/umfm6vSE0NJR169bt9PuYmBg5kC5dunS3tfbXXnttXw99Vk92X4QaLBYLtbW1Mtt2TzjYIDvTQaerq+uQ9BZ2FWTHxsZobGwkKyuLgICAWQpOSqVSvnFcLhfV1dX4+/sfsJm9D72Tbn7/ZT82j4LnLs4nVGXj76trWd1sJUCr4G8nJVKSEslVb1QwanHi8ojU9kvf04RXNaIwNoBrj0gk3D1E16iV+7ZJvzdN2nF5QK0QZCEHH3P36PRQbj42hehAHac+vZlBs4Nbjk3mhrerqOiZkNSS4gJoH5rCT6Pi5cuKiQ2SjAPuXd1AgE5F95iNhclBGDRKbninEr1aksl77Os2GgellfOmthFyQpX0OvRoVDb+eloWAPevkYo5J2SFkRwfw3Ol4yAI/PaoZH79TgMA7UMWBOD2Y6SMThRF3i/vY25CIHq1kgqvn+mJOdNB1ie+73SLaFUK4oP1aFVScOz2ikZohWlBDx92CrLeoK5UCLKUo8o74NoxYmVuYhBxQTq6x2yydOW2jjGOSJMy4mVZYXxVZyI3JoA19UMoBYk1bHN5+LSynz+emM7VSxP5vnmErAgD9YMWBq1gDUjAYNBQV1eH0+mUfVIXpwRzXFYYa+uH+NtnTZLf7HPbSAv3Y1vHGOc9v53fHZfKY9+0ccM7Vay8eg7dYzZe39LNJfNiWVnWJ3/3TrfI49+08ceT0md95mA/DS9eVsStK2v4sWWEC+ZE8UPDAD2TIjd80o1GKfD741J46Os2Vpb1kx1poG7AwjnPbSMuSMvVS6XRIpX3PjkiLZRV187n3tUNPLyulW8bJa/auGA95xRHY3O6+fsXTdynUvDAWTkkJCTI5uw9PT3U1dVhNBrlsurJuRGcmB3G5rIqXq+xcWJhwmEVYCcnJw+oL7wrVvHQ0BCdnZ0oFArZRchgMOzVK9cXlH3PLT8/PxITE2Xj+8PJLeigjsQbRA+vLvNeMDOT3dtFMjQ0RGtrKzk5OXudAfVt70CJTyaTifb2dtnMvbe395CsxpRK5az5s76+Pnp6eigsLESr1corxB0FJmw2G5WVlcTHx8vM7wNFXb+Zq1+vQBDglcuLGZ1y8psPO+katbKiOJor54TQ3D3Iuc9tYco5fUEJAiDCsVlhXL0kkdwoA9XV1YwJOh7YYmXC5sLh9swwhxflcZU5CUHcuiyFwjhptOcPH9UxaHbgr1HyWc0gzYMWRBHmJATSarKgUyt5+bJi4r2M1Ae+amZo0oGIlIVuahujb7yO/gk7r15ezJb2Md7Z3ktWpD8NA5NoFLA4M4bnN3TxwFnZBOpV3PxuNd83jxBh1HDf6dnU90/ycUU/ly+Mp8rkYsopjfgMW5zMidXT09pAV7OHPrc/nSNWrjsikS+9DOL4YB3pEVKp2GS2M2xxEqhX0TNmxe707ER6AnDZdnZK2VMma/f2Zl1uKZj6yE850Ub6J+w0DEySE21k+wxDhaPSQ1EpBEYsDvy1Svy1Kia9/edRq4u2YQtzEoIoiQ+ke3QKBZIH5mMbTXx5w0I54AwPD8sB54osIxtbFayuHuC8OdH8/gSpF3v1kgR+aBnhT6vqOT4rjG8bh7ntvRr+c2EBPWM23tzWw19OzeTBtS2y2MjrW7olswH9bLlBg0bFkxfk86ePanl7ez9n54VwQn4sf/y4jtEpF/9a28qSlCAqeyaoG7Bg1Cox2920Dln53Qe1PPq1jl8tjOesomj8NEqC/NQ8siKXT6oG+NvnjZz536386aR0ziqM4uL5cVidbh5e14pOreS+0zJ3Mmc3m82YTCY6Ozvltk1ISAhPXrp3a8yfC62trVgsFtkk4GDgYxUHBgbKQhUzR4SCgoIICwsjJCREZizDzr1ci8UiG9P7tjszGz4ccNgZq//UmJnJ7g4+V5vu7m6Ki4v3KcDCgWWyu3PQOVRMZd92fASnoaEhWeN0JoN4ZoAdHx+nrKyMjIyMgw6w5V3j/OqVcjQqBU9fUMBrm7u58rVyBAFeurSIe5ZnsK7Nyq1fmrDMCLBKAY6IVfPsmfH867Q0MsO0lJaWojWGcN8PY/SN2+QAO3OVlx1l5PlLCnnJywpeU2fi48p+Pq2S5Os0KgWtpilv71FN08AkapWCly4rIiFECrDfNQ7xUUW/vF0RyIw00DFi5e6T0/HTqPjL6gbmJgTSM2pBBG4+No1XNndzQnY4JfGBXPpyKWsbhlArBd66cg7+WhUPrW2WfFEXxvGfHyS9Yl9/8x9nFcoltXVtVvQqgUBzG+9ubQfglLzpLNbXjy2IDWDA7MDpEWfJKVa3SxyFmMiwnb6PHYOsn0aFQgCHyyMtKJBKlDFBOjpHpoOsyyNS3j3BnIRAqnonsHlFnwN0ahYmB/NN4zDHZYUxOuVk0uGWHywPrW0B4MKiUAYnnWRFStd396iNrxuGAIkbERkZSW5urtTLT4jjD0ulTPm3b5YzP8zFkanBvLypiz8vz+DKRfGsqR8iyE/N5vYxHlrXwr/PziEn2sg/vmjiwbNzCDWo5e/ulKc373QeADxOB2fHmDmvMIwPqkf4uHKAr29eLAtkrG8dw+oUCfFTYba7UQjSKE9auB8R/hr+/kUTxz22kSe+bWPEIpEFTy+I4qNr55MXbeTuVfXc9G41IxYHv16SyHVHJPJBeR//+KJpVpVKEAQCAgJITU1l7ty5KJVKDAYDNpttl4z9XwKHMsDuClqtlpiYGHlEaKa+dmlpKZ2dnVit1llZ7MjICIODg0RGRsplZZfLRVtbGzabbe87/Zlw+OTUPxNmsot3BbfbTV1dHVqtdr+Hvfc3yPr2pdFodtrXoQyyPgUnf39/8vLyZAedHfuvIEk2dnR07LOi1J6wsXWEG96pJtyo4VcL4/jt21WMTTn59eIEzpsTw8eVkvj++Iz5UZ1KwQVzY7l8YTyBGhGTyURVVRVms5nA0Ahu/7ybtuHpG8j3qEoM0XPbslSOywqT7f3uW93IhtYRlAqBAJ0Ks83FhM0plZaVAsMWJ/5aJS9dWiwLAHSOTHHzymp5+wE6FefPjeG5HztRKwWOzgjjilfL0auVZPjb2OYQyY3y5/3yfgJ0Kk7Lj+T857fLer53HJdKdKCO9S0jrG8d5ffHp/J5zSBjXoN4u0ukIMZIvDfAW93wQ/skZxZGk5IdR+vXWwCIdvVRWTlJWJikJAWQH2OUbe7yYowyOa9zSMq8BGHna/evnzVy8bw4FqdKYzJ+GiUC033MMH8Ng2Y7CcHTYzzZ3l7v6JSTlDA/nG6Rqp4J5nnF/I/PDufPnzZw1eJ4PqoYwE8tlYsRYXvHOCaTiVB7HxkRfkw6pq/pv33exLGZYbOyDp8IwoqlQazvq+bLOhMPrzdxYbpAZTfcsbKSFy/MZklqCH/8uA6FAG9s6SEjwsDTFxRw4YvbufOjeh5ZkctN71QxZnPj8excbJuamqKyspKc7GwWLQwkPqyTh9a1Mjbl5PHz8vDXqnhtczeiKDIy5UKlEGQ95mbTFGcXRXP7cam8uLGL/3zfzoteE4FfLYonPljPi5cV8eqmLh75upUzntnCX0/L4oajk5lyenhlUxd6tZLbls2eeXe73VRWVhIeHi7rf/sY+0NDQzQ1NaHT6QgPDycsLAytVrvT5/op0NLSgtVq3S8RnIOBb0QoJES6Rq1WK0NDQ9TX12O32wkJCUGj0cgkVB8xVBRFWltbufjii3nnnXdkO85fGv9zmezMcrEPvlWljwwUGhp6QKSj/QmyPh1Pn1j7jvs6VExll8vFwMAAERERpKSk7DbA+h7QfX19zJkz56AD7NcNQ1z7ViXRgVoSgvXc91kTEUY1952WSd+EjeVPbeap79rlAKtRClx/VBLf3LqY35+QRmSAFp1Oh5+fHx6Ph7zCIn7/zfisAAtSUP7baVl8+tsFHJ8dLj8EPqsZ5NumYYL81CgEgQmbC0GYtn7ziCKBehVvXzWH5DA/3B6Rt7b2cMrTm2W5vJwof/52ehYvrpdENM4rieFfXzXTPjzFqYkCb9VKc7b+OhUNA5McmxnGre/VYNSpMGiUZEX5c+G8WNwekQfXNhMXpOOswmieX98hixMAKBQCz6+XMtvPqgexuzysKI7hq3op04sP1nHOskUyU3NLmxRYXVPSrKdaIZAapqe2tha3241N5UdssB6rc+fr55vGYUat0+0DvUYhZbDe4wnyUzMwIc3Kdo5YEb1jPD6oFAoEmOXBe0xGGAIwMGEnzF9DiFfEH+DMnEDa29uZM2cO1yxNonPUKpsWDJjtfLobgfy+cRsPnJWDUaviu7ZJdJEp/O74dHrMLi55vQYGGvjnkUYWJ0rHdu+njVR0j/PMhQU43R7uXd3IExcUoFEKjFpdbGgZlrc9OTlJRUUFOTk5BAUF4RZFrlqSyN9Pz2JL+xi/erWcKxdLTHaFQuCItJCdtIU/KO9jW+cYT56fzyfXzefU/EhWlvZy8pObuP39Gur6JvnVogRW/nouYf4afvt2FfeubuT6oxI5f04ML2zo5D/ft8vb81lJRkREzDLY8BF8MjMzWbBgAenp6TidTqqrq2exdX+q2VBfgPVNH/wS0Ov1xMfHU1xczLx581CpVLS3t+Nyuairq+Ptt9+mo6ODzs5OLrnkEl544YXDJsDC/2CQnTnCA9Om5qOjo1RVVR1UiXRfHW/2xUHnYN1zfPtpbW0lMDCQqKgomR6/owes2+2murpaloc8WNLA6uoBbn63igijloEJG1vaRzkxJxwQuGtVPd81DXPRvFg+u34BcUE6zimKYuPvj+D6o5IJnNE76+npobW1lZKSEm7+uI1+szTnetmCON6+OJMlcToePUpNmtLE4EC/3HsesTj4xxdNhBrUDJodsi+sR5RYen5qBQFaFQ+vyEVAYHvnGCue28ZfP2+UvVBPzAnn32fn8udPGyTPVSBIr2Z19SBHxSp4q9GJiLS9ze1jJIToWVnaxxFpISxKlgQx/rw8A5VCwarKfhoGLNxybArvlfcxMuWSsyKdSqC8e0L+3O+V9ZIZ6U9OtD+rvFrFp+ZFolAo8Pf3RxMczaQTAnVKzN5YGWsQ2bp5EwqFgrS0NLrHbMQG6nYZZAGK4gLlf/uplXhEZMEKg0bF4KSUyZrtLsatLsL8NYT7axCAliEL6REGts+Ylw3z11CSEMi6hiGW50bQNy4tPgTgk9phCouk9sQJOZJUpnLGAuOBL5vlLNqHiu5xTn5yM+9s7+Wx83IBuPHdKh75ph1/rRLTlIdBfRI5aYn8blEgF2VJLOqb3q1mU8sgj5+XR+eIlSe+aePRcyW28u0f1GKxu5iYmKCqqoqCggLsCi1/Wd3AhS+U8tDaFk7OjeCJ8/NoMVm4/JUy7liWQqRRS8PAJO9fPZdFycGzjvPRr9v4qLyX1HADfz0ti7U3L+KKRQn80DzMuc9v48rXyjFNOnj7yjlctTiB90p7OefZ7ZyWH8mZhVE8+V07L23sxOVyUVZWRkxMzB7NRQRBwGAwkJSUxJw5c+RWlo+tO1PQ/1DgcAiwO2JiYoLBwUEWLVrE4sWLSU1NpaWlhQsvvJCjjjqKOXPmyKNAhwv+54LsjuVihUJBV1eXrHa0uxnQfcG+ZJ/76qBzsD6wvv1kZGTIx+WzqJvpAWu32yktLSU4OFhWAToYvLu9l99/UIufRknPmI0AvRqdWsmXtSacbpH/Wy7NBd55YjpJoX58ddMi/np6tjw2AlJW3dTUJI8NaTQaHl6RR1akgW9vk95bkBrDc1cu4ojFi+R53LKyMrZv3849H1YwbnUybHGiUkxnrwaNkiC9Co1KwUXz47jxnWoufbmUS18uY2zKIROoLl8Qx19Py+S296txujyoFAoKYo08+2MHSQECP/aKON0ikQEa1ErJFq1zxMpvj0ziuiOTeLe0l/PmxFAYF4jV6ebxb9rIjzFyZHoIL27olI3mAWwukYJYIyuKo6nrN1PbN8mK4mjah600myTm8ok506z2ze1SFjsnMQiTXcoqU4JVhIeHI4oimzdvpntkimCNB7Nt54etUaskJnC6zKj39Wi9H16pgMEJh0wA6xiRjiE32ohGpaC618zcxCDKuiZwuj183zTMC+s7OD4rnMZBC3MSAvHp5ovAiA3++2MnRz+8nn+vaeGS+bF0j9nkTH5kysn7ZdNz7iD11Y9MD+GfXzZR1jXBidlhTNo9hBjUspXdXz5rZFLUkJ6ezt3nLeWxcyQ299+/aue5tVVcOyeQLR1jfF49wLEZoYxbXVz16nYqqmtk7sOkzc3K7b3YXG5e2NDJWf/dir9WxQuXFjE25eTat6u4bVkqZpuLe1c38p8LC/jkunmkhU/PyP9pVQMfedW4Ioxabj8ulXU3L+b241JpHbJw9RsVXPBiKZmR/rxwaRFuj8hlr5RJY2TZ4fx7TQsPfrTlgAiGPkOLHQX9t2/fflBzo76q1uEWYMfGxmhoaKCoqEgWtvD39+fKK69EEARefvllli9fzjPPPENRURF33XXXL33IwP9gkFWr1XIg9Hg82Gw2zGYzxcXFB93j2FNg3F8HnQMtF/tuEJ9SlFarxeVyzZJI9MFsNlNWVkZKSgpxcXH7va8d8fz6Du5dLY2lTDnccglxflIQL11axMfXzuOCubEYNLvPlN1uN1VV0vB9fn6+LIgRE6jjg9/MJ9x/9nc0cx53/vz5DGtj+KZ1EoUgxQ1fgE0M0WPQKHB7ICFEz1PftWNzujHbXFx7RCKPnydJ9RXHBfC7E9K4e1UDTYMWLlkQx5DFQcewBbVCpMMszYIuTQ1h0OzA4RZRCgKPn5dHQayRP3xYR7CfWhaVeG1zNwNmO787Po23tvYyOuVkdGq6XKtWCDx6rtTrer+sD41Swan5kXxeI5VR44P1MqsYYG2dVEI+NjOM+n4zIhATGkRqejo5OTmk58/B7oYQjYfB0Z0dJ4viA2c9NH3sYl9z2+MRMdtdRBil89w5oy/rcHmo7pmgJF5aPNT1T/JVnYmH1rVi9IoPd4xYifCbfqxolALfNQ0zOOng9c3dtA5NEeavIUivkhc1D69rwemevm80KgUPr8jlzMIonvi2jQijDqNWSeOgBaNW5dV1FvndB7W4vPfb8bnRPLxCMgtZ3+vmg3oLRo3AJ9WDaF3SiFRl3xQru/zQaKVZ7+QwP86dE0PHsJX7z8yWA+CnVQM8e3EhKoXA/31az1WLE6jomeCvnzeSEmZg1XULePbifNnKb6ZkJoBRp+KqxQl8deMi/nZ6Fk63h99/WMvdq+q5cG4My3MjePbHTrpGLGQFK3i11s7G/oPjX/h62WlpaSxYsEAmKPmkDvfVQN33/LDZbIdVgB0fH6e+vl7WNvZhYGCAc889lwcffJDly5ezYsUKXnrpJSoqKvjtb3/7Cx7xNP7ngqwPXV1dbNu2DbVaTWJi4iFhzO0uMPqUlRQKBXl5eftUjj0Q4pOv7AvIAuJKpRKr1UpDQwMmk0kuqZpMJmpqasjPz98nD9g9QRRF/vRxLQ+vk1xiRMBfq+KqJQl8ddMiHj8vnwXJwXu9YR0OB6WlpYSEhJCenr7fN7jZ5uIfX7V6PWenSVERfgrGJ62MW51YXW6qvC4tR6aF8un1C7jx6GT+taaZAL001vGf79v5qs7EHcelUtY1jkYJ4zYPUy6pBxxh1HDjUUkISIL7K6+ey3FZ4fzls0bahqf43fFpBOrVjFgcPPdjB8dkhJEV5c+LGztJCdPPEmy486Q0ogJ02JxuPq0a4PjsMAJ0Kj7xsqFPyYuYNb6w3SsEkRWiptdbln29bIhSb4+0d1zqWRelx+NS7KwUlm70zOrh+SoIvp6jzbsqUSsFBKDLyzDO9or9TzrcRHl7qts7x7jr5HQyIw38a00L6eF+fFLaybLUaTa+CNR5551XlETzzvZejskIY8jilL+fCZuLN7ZOe/SC1Pv92+lZXDQvlte2dMtKV3aXG7d3VKu8e4L/fNcuv+fEnEhuPDoZgOEpJ2aHiFKAz1ttxPuDRgFrG0b4w7vb5ZbRb49MQu1dCHx07XypFbGth1vfq+aWY1OIMGp59sdOTsgO5/2yPt7yegkvTQ2j6p5jePCcHD66dt5O5xmkxcLZRdGsum4+T52fT1SAlofWtfJDywjHZ4bSMTxFy7iH5FA9d6+q5/OaPRuj7A90Oh1xcXFyHzM0NJSBgQE2b95MZWUlvb29sj+0D74Aa7fbDyv5xomJCerq6igsLJwVYIeGhjj33HP5xz/+wbJly2a9R6FQHLSv96HC/xy7WBAE/Pz8OP3003nuuecwGo2HjBq/qyC7o3XcvmJ/g6zNZqO6uprY2Fiio6NltRS1Ws2CBQuYmppicHCQ9vZ2+RgLCgrkkaGDwX2rG/ioQgoKsUFafntkMsvzImRxhH2BxWKhqqqK9PT0Aw76D65tYXBy9oNDAXgEJWanx1vGFAnTwVXFRk7ICyfMX8VHFf1s7xznr6dlsrVjjKe+a+fMwigWJwfxrzUt8rZSwvxoG5rivxflkh8XyLe3LgYgzF9LXb+ZvnE7cUE6WZnp6e/bsTk93H5cCq9v6Wbc6mJqhgJRTpQ/F3gt7dbWDzFhc3FOcQyNgxY6vMFtZqm4Y8SK2eYiQKugqalJ6jELUl+1OF7qs3Z7Z2Rjg/SzMmYf5iQG0dXVJbG1AwNx2aTKho/s5evjjlmdRAZoZ2SyM+Zwx20khOjZ1jHOFYsSeGRFHuc+t41hs5URm8g9p6fyVlUZIAlC+HDzMSlsaR9jfcsw/hoFEgFbxOEWeerbNi6cGzPrmnnq2zY+KOtjfmIgWzrGCfFTMzLlRKUQcLhFFicH8cwPHSxIDmZ+UjAvbuhEoxI4ITtcVsRyi9I4WPekNJ+7MCmQzxrH0X5SwWlJEov1vKJwXtk6wBWL4rnzxHROzo3grlX13PlRHctzI9CrlaypM5ERYeCfXzSTFm5gvpdZvTx3erRqd1AIkpznMZlhlHWN8/yPbaxtGEatFAjz19A2bCVAp+L3H9aiUyk4JnPn0auDgc+aMiwsDFEUsVgsmEwmKioqAGQhkIGBARwOx2EVYM1mMzU1NRQWFs6q/o2MjLBixQruvfdeTjrppF/wCPeO/7lM9tVXX6Wuro4333xTnkk7VE3yHbd1MA46+3NcExMTVFZWkpaWJgdYn1GBT+TfaDSSnJxMQEAARqORuLg4Ghsb2bp1q6zicqAMxTtOSCMuSMezFxXw1Y2LOKsoer8C7MjICFVVVeTl5R1wgN3cNsrK0l706h1Z2gJDFiduUSrN3npsMmtuPZKzF2ZitVr5YXMp//y8gZwIHSnBav74UR2FsQHcfVIa//dhhbydM/IjaR2a4rojk5ibGARIwTXMW76+91OpTH7Xyemy2fq723tZURJNuL+WlzZ0EqRX4dV7QACevnBaRev9sl7ignTMTwqSM5r4YB0ZM0rFm73+samBAvooKWNTCLAoJVi2s+v2BsUQP7Xs0TsTS3ISycvLY8GCBURHR+Oyz+7Z+VSfBnxjPN5gHxOoJVCvQikg9WUTgtjeOYZHFIkxqrgiV82ITXpv06CF3Gij/F3oVNJntLvc/P30LPrG7SSE+OFwe2QCmMXh5oX1nZR3TWfZRp0Km8vD307PJsxfw8iUE6V3VhVApVSQEKLnDx/WMWpxUNNn5qG1rYQbNaSF6dEopPPsFqUAKwCdozbOKoziw0Y7TcQQHBzMshgP/mq472PJPDwn0o8PrpnHtUck8lWdif4JG9lR/jQOWgjQq7j1vRpZ8GN/kR2u5dJkG29cnMXpBVGy7OekzYUoity0spoNu7G6OxSYKXU4b948OTusrq6mu7sbkDLEw4E4NDk5SXV1NQUFBbO04sfGxjj33HP54x//uEczmMMF/zNB1uVyceutt/LJJ5+QmppKcrL0kDqUQXam8EN3dzft7e0UFRVhNBr3/uZdbGtfjmtgYIDGxkaZSOWTSFQqlbMITk6nk7KyMgwGA/n5+SQmJjJnzhxZ+amlpYXNmzfT1NTE2NjYfgVcg0bFVzctYmla6H6vgHt7e2lubt4v0Y8dYXW6+b9PG4gP1rE4RcowUsKkVa8vkzomI5SvblrE1UuT0KqlRUdKSgrfjgZidYlcURLCTStr0ClEbp7rxxtfbaZ+WMo67zopjTUNQ5TEB3LtkYk77X9L+yhVvWYCdSqO9MoNPrKuFY1KwfVHJfPa5i7Mdjdj1uks9vcnpBJhlEpfnSNWNrePcXZRNALwaZXEKj4lL3LW+VxdLgnenzk3mY5RqVTs9sDS1OmFSc+YjVCDmqldMIv1KkF2+PE5nKQnJch/v21xCHfPl4pb9R39RBtVciYrCALZUUa0KiXVPRPMTQxkwuaipnuEsrIyzl2YxmULpL7+W9t6ODU/Ug7ydpf0HVz2Sjkp4QYuXxhPbf8kKq86l1ErLcj++2MHF71UKitK+frCVqeHd389h0CdihmJMRtaR/nXWdkMWxz836cNPHBmNhfNi+WNLT2E6UCtgKgALb5TKCL5uebFGFmWGcb9X7WwZcDD3MI8bjgmjWqTkx9bhikrK6OyvJQzUpS8cnEukQFaavsniQnUSmIbdhc3vlO1W/b27mC1WikvLycrK4ui1GjuOy2LtTct4qolCeg1Esvb7RG55s0Kvmsy7de2DxRqtRqLxUJQUBBHHnkkMTExjI2NySIQXV1dWK3Wn+VYZsJX2dqx2jYxMcF5553HLbfcwllnnfWzH9eB4H8myH799deEhYXx7rvvEhgYiNks9eUOdSbrcrloaGg4aAedvbGLfYPXAwMDMpFqRw9YHywWC9u3bychIYHExMRZD26fa0hhYSHz5s0jMDCQnp4eNm3aRG1tLSaT6SdZ1c4kaM2ZM+egSGdPfNNG16iVcH8N6xqGOSI1hNYh6cEQ7Kfi5UsLeeqCAtkX1ofSzjHeK+vjkgVxvF1rYdIp8PDZmXxVO8ijZU6OjVNw5+JAPijtQaUQ+NfZObJebbPJwpb2Uewut5zFnl4YhSAIlHaOsabexFWLE9CoBJ5f3wlIPUGAAJ2SyxZMz0J+WN6HQoAzi6Ko7jXLvVZfqdjHtq4ekD7TotQwvmmcnvtcmhYi/7t7zEZskJ6hHcrmC5KC2PbHo3Y6d/oZClA6YyhHLJyHQaNk3A5+HgvDFifl1XUMDw+THWXA5nJT22emKE5i4X+ysY6MjAzCw8O5/bhUIo0amk0WEkJ0CEiqWmFeNnXvuI1r36zkqiXxJIf6ofYGfKNXP9npFlErBZlt7Auyg2Y7UQE6XruiZBYL3eURKeue4LZlKaxrGOK9sj7+dGIaF+cHsKnbSnK4kYEJOymhsx2zGgYnefCcHOYmBvHHj+r4sXmYC+bGEhuk461aK3PnzZNJd8J4D7fmurisMIChSQcapQKnW6R+YJI/flS3z4tRi8VCeXm5PJvrQ7hRy23LUvnm1sXcflwKfmoFHhGue6sas23ncv+hhI+M6XQ6yc7ORqlUSguv9HQWLlwoz5rW1dXJC/DR0dGfXHnKYrFQWVlJfn7+rABrsVi44IILuPbaazn//PN/0mM4lDhsguzIyAjHH3886enpHH/88YyOju7ydUlJSeTn51NUVMTcuXP3+f0nnHACd911l1wuOVjj9l3B4/EwMTGBn58f2dnZB0Wm2lOQdbvd1NTU4PF4ZIKTj9C0o0WdrxSbm5tLeHj4XvcZEREhy9tFR0czMjLCli1bqKyUSmkzdZAPFB6PR57LLSwsPCj/3cqeCV7d3EV0gJbSrgkSgvX80DJCuL+Gk3PC+e62JcxPDtnpfU63h/s+ayQqQMuE1cn2znHuPDaO9zY18XaTh6MzwvjbhYvpsmmoG7RycYbAUEejfA7+8307N7xTxbM/dNDuLamekC2N0Ty4toVwfw2XL4znobWt2FwekkN0ODxSefez6xfKCx2Xx8OHFX0sTQ1BrVTw+hapZJcQrCc6QMtxj23gic+20zZiw+aCQL2KmECtbDoeH6wjJnCaDNIzZiUuSLdTkF2SGrLLKsNMmcUxr0hFhFHLpEfF/ByJIW1TGTGZTKjNA3hEsLtF+odGCdZCv8df9vtUKxXce2omAH9Z3cichEAMWhULk4Px10rKUjW9E/zugzruPTVDFvLvnbDLTGOXW+SL2kEm7S55UTRglhYdaeEGnr24ALVy+nM89W0bly6IY2lqCA981cyarTWcneXHvadkUNtvJipQS8vQFEF6FRFGDf4aJZ9WDfJlrYknz88nNdzAzStrqOs3c/MxKdT3T/JZ9SBarZa4uDiKiopYuGA+Vy1O4MHjQ0k0TgfVr+pMPD1DUGJ3mJycpLKykry8vN2OCPprVVy1OJENvz+CyxbEcXRGKEadepevPRTwLdx8AXZX14ZPBKKkpIS5c+cSGBhIX18fmzdvpqqq6pA9D2bCp8SVl5c3q7I1NTXFBRdcwGWXXcYll1xySPf5U+OwCbL3338/y5Yto6mpiWXLlnH//ffv9rXffPMN5eXlbNu27YDebzAYZtndHYog67uRNBoNCQkH75qxu3LxTKWotLQ0WcFJEIRZ5WGA7u5u2QN2f0vWgiDIs7M+b1ifItb27dvp6uo6IH1QH4M4KCjooOdyHW4Pd6+qQ6UQ6POad49MOfjraVl8e+tiHlqRJ2eeO+K1zd00Dlo4Ii2EDysGuLAwhKe+72J1m5sVxdE8dl4uFT1m3iw1cW5JNDecsUQ+B2s3bOfL2kGWJvjx4sZOIo0a9GoFudFGvqozUd49wY1HJ2OatPNeaS9alYKzi6VS8BWL4gkxaOSRlfXNIwyaHSxOCeF3H9TIrOKTcyNQCiK943ZsHhWDBAEwLzGIja2jMlHp2BkkGbdHpG/cTuwuguzilJ0XGsCszHDYIgWzCKNXWtEr9Tju0ZCVlcXpRxTLr12zrYGMYCWlXROzxF2OTAsl2E8SAXF6RDpHrDQOTKJVSRnaCdkRbGob5fn1nVy2cHpsLMOraSwiOSh9Vj1IhFHKgAcn7PLr5iQE8dA5uXJQNtvdfN80wt9Oy0SnFHlk0xhJqemcNyeW+07NpH/Cjl6tYMzqYtDs4JIFceRE+XPnR3X87fNGHlmRQ5i/hmvfqiQz0kBWlD+PfdOKwzW9wPV5pB43P58PbjiSO45JwNtm5qnv2nlhXSUWi2WXWa3ZbKaqqor8/Px9ugc1SgV3npjO0xcU7PW1BwpfgHW73bsNsDvCtwDPyclh4cKFJCUlyeXvbdu2HTSvA6RyemVlJbm5ubPOlc1m4+KLL+a8887jiiuuOODt/1I4bILsxx9/zOWXXw7A5ZdfzkcfffSTvX+mIIVKpTpohRSTyURdXR25ubmHzGJpV+ziiYkJKioqSElJISYmRmYQ76jgJIqiPBdXUlJy0PO/vlnUlJQU5s+fT05ODqIoUlNTw5YtW2htbd2nG2xqaorS0lISExNnSccdKJ7+rp1m05QccBYlB7PquvmcUxy9xwdH77iNp75roygugA/K+pkbq2dj2xhDNpFjM0L5y6mZTFhd3PlRHclhfvzhhPRZ56DGIQW2PrMTPCJDkw6sTg9rqrp5eF0LaeEGTiuI5NevVyACfzstk6uWJFF+15HcflwaANe8UcHN71bzfnkfIX4qvmkcYmv7mHyMyzKCqaksB8DPGMjX3vLwkWmhPD5jLtNnOQfQP2HH5RGJC9YzNGlnhrCS7DW7IwwzMtmhSSkriQzQysQnQNYwTgrzQ6cSUAng8I/m2PwERqxufiirY9OmTTQ1NTE+Ps4peREoBYGK7gmUArSPWBmdcpIXY6RuwExckI4fmkcwmR3EBUlZeN+YDa1q+oDfLe1Bq1ISpFfLmawPx2WFc8/yDPn///iyid7Wem5fGkHnuIt/e00JludFEqRXY3dJrkIKAV7d3M1D5+Ry49HJrK4e4DdvVvG741NRKxX85s1KrlgYT8+YjXe2zx4p8kGpUHDlEal8fuMi2ezgofXDrN4kecTOnEedmJiQiTsHyjc41JgZYA/UBH7mvTBv3jwKCgrQarW0trbKhgb7S56y2WxUVFSQnZ09K9u32+1ceumlnHLKKVxzzTWHDet5f3DYBNmBgQFZ8SQ6OprBwV3PjAmCwAknnMCcOXN49tln9/v9wCErF+/OQedQYMfjGhwcpKGhgfz8fIKDg2d5wM7MYF0uF+Xl5ahUqlliDocSer2ehIQEWdpNr9fLxKnGxkZGR0d3CrhjY2PyKnVvZet9QVnnGM/+KOn96lQK/nFGFv+5sICogL2byv/zC2n8pcVkIdJfwdiUg/YJD2H+Gh7zilLctaqeMauTB8/OnVVStThcrCztoyA2gIp+G/nxksLR4kR/6joH6Bq1cV6mhvtWVdMzZiMvxsgp+ZKri1o5PZNa02fGT6Pk28ZhiuOD2Nw+ho+hExekZbK7geTkZDRKBTanm/JuiQykVSuo6pVKxQoB5iYEycfWOyYFw9ggHUMWB0FeqcaS+EAUu3k46TXTj4DRKSef1wxS2T3B4IQdvUZJqEEtu/H09/URb1Sg1yipHbCwMFX6Hqf8Y2f182PcJtyiSGqoFhGpNC+KoFUqaB+2kh5hQKNUsLp6kJxoKWOZsLs5p2ha8ai2b5KmQQuRAVJWvSMumBvL1Usk0lbPmI3SUTUrluTwq4XxvL2tl7X1JnRqJbcuS8EjIhOLphxuHv66heuOTOLVy4txeTzc9l4Ny3MjMNucPPNDO3MTAvnP9x27VMzyITZIx/vXzOOiebGE+Ws4++g58jzq4OAgGzZsYPv27cTExMziR/ySEEWRxsZGPB7PAQfYXcHH6ygoKGDBggVEREQwPDzM1q1bKS8vp7u7e49VL5vNJhPCAgOnJT+dTidXXHEFxxxzDDfeeOP/kwEWfuY5WUEQ1gJRvv/n5kq6pH//+9/3eRvr168nJiaGwcFBjj/+eLKysjjyyCP36zhm6hcfaJDdk4POoYCvXOwL5BMTExQXF6NSqeQ+iEqlmpU5+8otiYmJREVF7W7ThxRqtZro6Giio6Nxu92MjIzQ19dHfX09AQEBRERE4HA45IXIzGHyg8F9nzcCkBFh4L8XFe5EatodvmkYYl3DECF+amwOJ6Koom1c+v7/fEoGSoXA61u6+a5pmD+emL5TBvhReT9mu4vOESvxwTpKO8cRBLjvjDxWPLedBUlBqPX+fPijxAT+VZaCvr4+wsLC5Idt16iVSbubKacbl0ekrt9MTKBOFpIoDHaRnV2In78RQZDmY21OD4E6Fe+V9qFXK7A6PaSE+slsYZiekY3zEp8C9dJc6YXzdj+Ub3VMX/uTdhdDk3a5xzw65STe68bT0dFBv2mY4AB/WkbHaeifJC5YS5BezbYOiRnt80fNzPLwbM16wvUK+lVgcUKwXsn2rnH81EqGLU4cbg9nFUXxYXk/qWF+tAxNsbl9jGA/FaNTUnB7bXMX4f5aBs2OXR77DUcmsK2pm7JBD09sHOJXR4vcsiyFrR1j3PNJPXkxRs4ojOLFDV24PB78tUr6xu18XDHAxfPiKEkI4oNr5vHnTxt4dXM3edFGGgcnUQgCY1YnL23s5KZjUnZ77gRB4O6TM7j75OmsOiwsDKVSydjYGFlZWZjNZnke1eee4zMl/znhC7CiKB4S+dTdYUcHHYvFwtDQEDU1NbhcLkJDQwkPDycgIABBEOT2V2Zm5ixCmMvl4qqrrmL+/Pncfvvt/88GWPiZM1lRFI8TRTHP91NdXU11dTVnnHEGkZGR9PVJrMK+vr7dzpX6BPUjIiI466yz2LJFsgLb1/fD7HLxgQTZvTnoHAr4jqu2thaXy7VLgtPMADs2NiavBn+uALurYw4PD5f7NjExMbS3t9PQ0IBarWZ0dPSQESXeu3ouNx6dxIe/mbfPAXbK4ebvXzTip1EyMuVErVIy4RAJ0KoojA3g2Iww6vsn+feaZo5KD+WS+bGIosjaehMeUcQjiry2pVue2Ry3Sr3wxcnBvL2tlzGrkxUlMdz/TQ8KAU7KCeeIwvRZvezOzk7KO6Q5yOreCWKDdPSO20kNm2bA9jr0dFsUvLm1B7vLw3rv3GRahIGtHWOE+EnBWjJdmEb3mA2FANGBWoYmJRN1QM5odwXffK3v/KRHTC8qBiakknHLoFliyxcWUN5txoM0d9o4YKEkIXCWiTtI86vLssOpHLATbpRKzqkhGgK1AmqFm5oeSe5xbnwgK4qjaRmaQiFIo1i+cjrARxX9hPtrdioXg9TbLysr41+nZxJmkErCT37Thkap4N9n5+BwifzhwzoEBG4+NpmuURtXLIwnxnutXPV6BaIoEqiXzNb/cmomzSYLGpWCtqEpwgxqXt7UhWkX+94ThoeHZX3dsLCwWfOoGo1Grvg0NDT8bB6xP1eA3RUMBoM8LjhnzhyMRiPd3d1s2rSJiooKtm7dSkpKikyeAymBufbaa8nLy+OPf/zjQR3vypUrZYnJmRyeHfHFF1+QmZlJWlraLD7PvhJy94TDplx8+umn88orrwDwyiuvcMYZZ+z0GovFIo/eWCwWvvrqK/Ly8vb5/T4cTLl4bw46giAckhvH6XTK82vp6emAdPHtiuDU19dHY2MjRUVFs8otvyREUaS3txej0chRRx1Feno6NpttVrA5mPk7pULBdUcm79cN+Mz37fSO25lyuKXeolLJOcXRjFqd3HJsClanhzs+qCFQr+bvp0vltKe/b+emd6v5pHKAbxuH6RyxMjzpIEivwuURcXtE5icH86rXsP2Rda2oFAKiCDccnTyrl+3Tgn1rUxsC0DduZ2jSztLUEOr7pcATqFNS1jPJuM3JU9+1oRSmpQ5HLQ5CDRomvGXM0wpmL6Z6xqxEBmhRKxWYJh3yeE551+wgOBMzS+FWp3uWTvKt71UzOjbG8JSb9KxstGoVeTHThJTKHjNzEwLpGrUyMLFz33TK6UGrUpAV6c+rVy3kjhMyGLeDG2mGdU1ZM+elejgmNRCPCL85IonT8iOJCpAITy6PyKDZzvCkY5a2sd1ulzW3Y2Mkk/SlqSG8tKmLzW2jJIX6cc/ydLZ2jPHcj5J5QX6MkRc3dvHeNXMJ1KmwOtyMTEkZsiAInFsSw7tXzyUmUIcHybje7vTw1D6wh30YGhqiubmZkpKSnSo2M0fl5s+fT1hYGCaTic2bN1NRUbFLmcNDAR8/45cIsDtCpVIRGRlJbm4uJSUlWCwWAgMlK8SVK1fyl7/8hbKyMm644QYSExP585//fNDHm5eXxwcffLDHaqfb7eb666/n888/p7a2lrfeeova2lpg/wi1u8NhE2TvvPNO1qxZQ3p6OmvWrOHOO+8EJLGC5cuXA1LfdenSpfKFesopp8iSWrt7/64w01N2f4LsvjjoHAq2stlslpnKsbGxMsFpVx6wzc3NDAwMUFJSctAesIcKPuELo9FIVlYWSqVSVpmZGWxqa2tl4pTZbP7JPDFBUiF6caM0r6oUICJAx/OXFLCqcoDFKcEsSA7mga+aaBua4v4zswkxaHhhfYcssXhaQSSvbOpCrRRQKmDc6uK4TMlHtapHUikaNEtB0+X2cGp+JClhs3v0Op2O+Ph42iZAoQCVQpoNXRo4gskiBU6PKPVQv6gZxOb0oJqRabYOW7lycTyTdjcKARJCZs9/do/aiAvSI4oSGavXWz7ek2jCzIeY3eUh1KCRM9+uURsGrWTz1zMmBdEj06eJVts6Rmk2SffRTOs7kEhoBo0SpUKgYWCSCZuTMwujyYryl86hUsGAS09MVBTXFfuRH6rg3k8beHdDI9ctnRbI2Nw+hgh8UjnAd03DclUgIyODsDCJgBZi0PDAWdnEB+v57duVlHaOcUZBFKfkRfLUd+2Ud09w67JU+ifsfFw5wLpbFvLjHYsJNcyugKSFG3jn13O4eL5UXheBldt7aRua7T+9KwwODtLa2jrLRHx38HnEZmVlsXDhQlJTU7Hb7XJmdyiYujAdYAVB+MUD7Ew4nU4qKirIyMggPz+f+fPns2TJEgICArj++uv54osvmJqaYt26dQe98MjOziYzM3OPr9myZQtpaWmkpKSg0Wi44IIL+Pjjj4GDJ+TCYRRkQ0NDWbduHU1NTaxbt06u6cfExPDZZ58BkJKSQkVFBRUVFdTU1MyyMtrd+3cFo9G4X2IU++Ogc7AWdSaTifr6etlIYCbBSaVSzfKAraqqwuPxUFhYeMhYzQcLq9VKaWkp8fHxJCQk7PI1vmAzkzjV1tYmu4Xsijh1MPCIIrevrJSNxDMj/XnjihK+qhtizJvFflk7yMrSPq5anMDilBBe29zNQ+taWZ4bwV9Py6JhYJKtHWM43SIuD9y6LIXW4SlSw/1YWz9MmL+G8u4J5iUG4/SIXHdkEsMWB/0TswkfoihicbhweySHoOXp/nTbp68ns91NhtHB+2V9XDgnelYGF6BTcXpBFCIQZtj5Qd4zZiM2SMe4TfKr9WkX+0ZxdoeZM6oA6RHTwTs+UgqqPobxTNnK6j4zH5T3o1YKbPNKLPqgUSk4Kj2UzlErIlDWOY5SIfCnE9NxukVsTg+NA5P4GQPJy8nipauXUBjrzz+/6WNLXTtewS4MXmLWCxs6eeKbFpmBOrO8CBDsp+GFS6Xe/G/erKS618yfT8kgOlDL7z6oJSfanyUpwfz3hw7cHoEA3a4DoVal5K6TMnjq/Hw0SgERuPK18j2ev4GBATo6OvYpwO6IXckc+hTYfEzdAykrzwywGRkZh1WALS8vJzk5WV4kAURFRdHT08PSpUtpb2/nlFNOYdWqVcyfP581a9b8pMfU09Mza9ohLi6Onh6JXb4/hNrd4bAJsj8n/P39ZZ9FhUKxxwf6/jroHKjZuiiKdHR0yAQhPz8/WYNYpVLNymB9HrChoaGH1Q00Pj5OeXk52dnZ+6zV7CNO+ZiJoaGh9PX1ySbUg4ODB10ZePyLKpqHpWA3LzGIVy4vRgBe2dTFCdnhhBg0/PnTBvJjjNx4TDLvbu/ln182cVxWGP88MxulQuA5L5MZJGecU/Miqe41ywIOfRN2ziqKYnvnGKcXRJEYoueeVfWc//x2bDMyyd5xmxzsdSqBc7MNbBuSSrYapUCkUUPNiECgTkGmZoQZhj38ekkCoQYNtf93DF/cuGDWZ3S4PAyaZ8/I+szQfd6wu4Pv8nF5RBwOB8FM6xkH6qXr3ccwPrNoukTdN25Hq1IQ7q/hy1oTxz++Uf6b3eUmLcLApN2NSiGwtWMMgLmJQSzzzva6RWRRDT+Niv9eXIyfVsnqNhdHZUjC++M26dzF+bmo7bcQFJu625ZIuL+WFy8tIthPzdVvVNA9auPfZ+cwaLZz76eN3HxsCmNWJy97Kxp7wjGZYXxxw0KMOhULdyFmIp+Dvj66urooLi4+JCzimWXlBQsWEB4evt9lZVEUqa+vP+wCrG/yITExcdaEgcfj4Z577sHtdvP444+j1+s54YQTePzxxykrK+PYY4/d43aPO+448vLydvrxZaN7w66e/4fynB0e6c/PjJns4j3hQBx0DqRc7PF4qK+vR6lUUlAgDaE7nU6CgoIoLy8nNDSUiIgIAgMDZdHszMzMPWbrPzcGBgZkreYDLVsrFIpZbiHj4+OYTCZaW1vR6/UyO3NfswVRFNlUWc9zW6UZ06UpwTx5YQEapYInvm3C5nTz26MS+f0Htbg8Iv8+O5fV1QP8ZXUDR6WH8uA5uVJ/02zny1pJSzYt3MBfT8viowpJX9g3W1oSH4BBrcTpFrn2iCRWlvbxbdMwfzwxDd0MwYdq7/gNwKVFQeRlZ9C46gdAcsIpjg/ki1oTfz0ti2A/NSB56yoFSKOP5manzM6cid5xGyISs9hH1vEF2b0RwxSCIBO7ysrKKEoO56uOXkASRzBqpzWMjVo1OrUCm1eX2KhTMWZ1MeVlKY9OOQj20/DQ2lZWlvaiVggEG9RykAX4wwlpfN0whAhs7RijxDuGZNSpeO3yYs55bhsfVg4QblDLlniBSuk8v/ljPefm9RMeHk5oaOhOgS0qQMdLlxVx6ctlXPV6Oa9cXsyNRyfzyNetLEkN4aScCF7e1M2F8+JkucfdISpQx6bfLd3tA7enp4f+/n6Ki4t/klE5X1k5NDRUds8ZGhqS2cq+e8Xf33+WHaLvWXIgdpE/FXwBNiEhYdazVBRF/vrXvzI2Nsbzzz+/E4lUEIS9ntu1a9ce1LHFxcXR1dUl/7+7u1vm2/gItdHR0Xsl1O4O/5OZ7Mxy8e5woA46+xtkHQ4H5eXlBAQEyL0Dn4JTVlYW8+fPJzg4mJ6eHn788UdZg3h3PeGfGzNnhefMmXPI+sI+E2qfjmpaWprct9q2bdteiVMej4eamhrerZ5ABOYkBPLMxYVolAp6x228ta2HMwqjWFM3RGnXOP+3PIOavgnuXlXPwuRgHj03F423H3r/l02IgFYl8OzFBejUStY1DMmm3TqVgnuWZ/BuaR9nFEYhIvLAV00sTA7m4vlxs47rq1pJ0UmnhBtOLODbxmE5W9V4y655MUbOKoqipm/6Gj0lL5KlC+ZiNBrp7Oxk06ZN1NXVMTQ0xNiUg1tWSj7CvhlZALd3he7TAN4dlF7VCo8ImZmZFKdMZ6suj0h8iE7OZAGyI6cZyCqFIAdYkHrfAGcVRWF3eUgM1WOxS3rHFofUd44L1nNmobSPVZX9s44lM8rI3Sdn4BFh1OqSPWc9hlDyY4zUTepITEzEYrHslkQXG6TnxUuLUCoErnytnOOywliQFMQ/vmjkrKIoHC4Pz/zQvsdz4sPuglRXV5esG/5TBNhdHYe/vz9JSUmz3HN8bZb6+npZFOdwC7But5uKigpiY2OJjJy2BhRFkfvvv5+enh6ef/75n+U87grz5s2jqamJtrY2HA4Hb7/9Nqeffjqwf4Ta3eF/NsjuLpM9WAed/Qmyk5OTlJeXk5SURFxc3C4JTj4vSIPBgJ+fHzk5OZjNZlk/dGBg4KAVqw4UHo+Huro6pqamKCoq+kn7wgaDQe5b5eXlIQiCLFze0tIyizjlWzUbjUYeuXgBj67I5dXLi2VBhqe9Rt9HpIbyn+/bOS0/Ej+Nkt9/UEdxfCBPnJ8vW/WNTDn43JvFPnNhIVEBOix2F5vaRmVHmOuPSuK9sj48osjVSxL4w4d1qJWSQMZMEQibzca3DUMAnF0Sg1qp4J3tvfLfU8L8GJp08qcT01EIgmxtB/Cnk9JldmZ+fj4LFiwgMjKS4eFh1q7fSqM3uEX5q+RysS94+2v3/L34FgsqhbSwSZvBMP6uaZhAnVrOZAGZGCQgLQxmwhdks6OMFMUFMDblwuJw4xahvGti1ucRYFbw9uGCubEsywzD5RHlfvGW9glOyo2gpm+SMZea1NTUWSS6ujpJdaq5uZmxsTESQ6RA6/aIXPV6Bbccm4JWpeSRr1s5qyiKd7f3yn3m/UVHRwfDw8M/W4DdFTQazaw2S3h4OM3NzQwODmKxWOjt7cVu37/xo58CvgDrm6X3QRRFHnnkERoaGnj55Zd/svP44YcfEhcXx8aNGznllFM48cQTgdmEWpVKxZNPPsmJJ55IdnY25513nqzhsD+E2t3hf7JcvGOQnTl241NEKSoqOqD51301Wx8aGqKtrY3c3FwMBsMsgpNSqZT37QtkCoWC4uJiFAoFERERiKKI2WxmcHCQtrY2tFotERERhIeHH7Dzz/7A6XRSVVVFSEjITs4+PzV8xKn4+HicTifDw8O0tbVhsVgICAhgfHyc5ORk+aY+YYbxeeuQhY8q+lhREsO/1jQTG6Tn2MwwbnuvhrwYI89cWDBrrEWJRBzKjjSwIFki26xrGJJLsWqlwLKsMM54ZitnFUXxWc0glT0TPHROziz1qcnJSaqqqkgN96O6f4pj0sOwOFyzWLnNJgunF0RS5DVgbxiQxsyuWhxPwA6zrjOH/odVYbCxUjInb66hpsWFWgFOjxQ494SRkRH0Sg82F1TefTQgWRcatUrMdjeb28eYkxBI75gNl8eDSqHgxJwI7vigDhFk+z5frPUFe5CC5Z0f1cmBcmvHGEtSpRaHQavioRU5u9VUvmlhMNvbhxm3S+d5yOIg2ns+v6wd5OqlkuXgzGvB5XIxMjJCT08PdXV1BAQE8O/lCdz2aQe/+6CW3x2fyl2r6smLNqJSCDzxbRv/Oitnj+dnR7S1tTExMfGTCNAcKARBYGBggLCwMFJTU7FarZhMJpkYGRYWRnh4+Kyy8s8BX4CNjIycNe4oiiJPPfUU27dv55133vlJF+dnnXXWLi3xZhJqAZYvXy4H3ZnwEWoPBv+TQdZgMMjEJ5CyT5vNRkNDA6GhocTHxx/wxbi3TFYURbq6uuSVsFqtlgUa1Gr1rAvO4XBQWVlJRETETsckCAIBAQEEBASQlpaGxWJhcHCQiooKFAoF4eHhhIeH/yRjPT5lqaSkpFnln18CarWaqKgooqKiZPN6f39/2tvbGR4eJiIigtDQUHml/Pg3bWhVCgYm7AxNOrjzxDT+8GEdGZEG/ntxAYYdsr5APw1f3LBw1u8e+7oV8DJo00J5bXMPoghHpYdx87vVnJIXycm50+dlbGyM+vp68vPzuSbYyk3vVhNs0PBt47CcDQfoVDjdIrctSwVgwuZk0i5dR6cXRLMnDFmmNYcXLljAe11VBOtHGbS4UQoSM36myo4PvgXa2psX76RvHROoo2HQQoBOxaRdUqbqG7cTH6xHqVBQEh9Ibd+EPLPr+xy+hQFIYhn3f9mMQpBM2bfN6MsCnJSz62unu7ubiaEBHjk3nytfrwQkCck3tnZTGBvAFzOC7EyoVCpZdcrX09eYTNxcqOTB7Tb+820LZ+SH815ZHydmh7O6aoArFyXsVtd5JnzWklNTU7IwzOEAURSpq6tDrVaTlpaGIAgYDAYMBgNJSUk4nU55Qe+buw8LCyMkJOQnzcI9Hg+VlZWEh4cTGzutOCaKIs899xzff/8977///s+SEPzS+J8MsjuO2YiiSFVVFWlpaYSGhu7hnfu27d0FWY/HI9PqCwsLAWYF2JkXvc+0OC0tbRbVfXfwlVOTk5Ox2WyYTCZqa2txu92EhYURERFxSOTcJiYmqKmpIScn57ARvgApI2tsbKS4uBiDwYAoikxMTMjzizqdjlFBcsk5Kj2U75qGOb8kmofWtpAUquf5i4sI2EdrsVPyIni/vJ/RKSdzEwP595oWziiM5MG1zYQbNdyzPF1+rS+Q+SQlR6ekkmmwn5rHvxmQXzdhc3HbshS5f1rpVUXy0yhmCUTsCj6ik8ls5/4vm/iueXoEyl+nxmg00tXVhdlsJigoiPDwcGw2G/39/ZSUlOySFZsSbqBh0IJRp5LHkN7e2gMC/O74NFaURPOnj6dFLhReA/amQWm+UxAEtCpJ7OPFjZ2IovSZbE73LCLYjujo6GB0dFQuxV61OIHnN3RyTnE0K0v7OK8khndLe2kfniJpB5/YmfD19H19/cSUAW5YWcfW1mFiDAIbW4bw0yh59OsWnrmocI/n1zfC53A45FbF4QBfgNVoNKSmpu7yuGbKnno8HsbGxjCZTLS0tKDT6eQs92BNRGbC4/FQVVUlJywzj/fll1/miy++4KOPPjqk+zyccXgsx34hiKKIyWRicnKS1NTUgw6wsPsg6yM4+fv770Rw2tEDdnh4mKqqKvLy8vYpwO6IHedQdTqdLOfmc0o5kDnUwcFB6urqDitlKZDGKJqbm+UAC9JDNjAwUCZOpaen88IWE3oVbGgeJiNUyydVA0QH6nj+kiKC/PZ9/OK249I4oyAKlUKgbmASQZBEJdqHrfzjjGw5WHd3d9PZ2TlLAcg3u6pUwI8tEutZQPKFnWnkvtprebcoafY86K5g8vZgnR5JGtHicDPlY/9qpT5uXl6e3Mdta2ujsbERtVrN0NDQLqUuc6Kl7E4hSMIbIAVJH1FpyYwyr0KAKC+D2er00DdD/em8OTH42Esuj0hF93RfdiZEUaSlpUUuxfruhxuOSSYryp+19UOE+2vkxceXtfs3r7g4PZL/XFjIsB20Oh02l4hRLfJ98wjv/1Cx21lUnyShy+UiJyfnsAqwtbW1ewywO8LXYvDZV6anp+N2u6murmbLli3y+T+YGXWfV3RQUNBOc/Kvv/46H3zwAR988MEh0zD/fwH/k5msIAiIosg999xDcXExOTk5h6xssasga7FYqKmpkQP57hScQGIt+jKMQ3FMarWamJgYYmJicLvdDA8Pz8pqIiIiCA4O3mP5y1fiNplMu818fgn4mM1jY2OUlJTssbdTY3JQ2mcl3F+D1emme8KJUQ035HoY6+9EExGB0Wjcp4eVT8+4OD6QTysHWJoawqrKAS5fGM/C5GBEUaStrQ2z2bzTeMfolBO9Wsn6llGZmCQCd56QPkvsf2ObRHr69S7Kojuib3xa8GKmdR0wa/EgCALDw8PodDpKSkqYmprCZDJRVlYm6077WgxFcdIiyu2tA6sVAna3hwmbC1EUCTdqyYgwyOShQL2a3nEpuDYNTMpG8vHBeo5IC2F9ywhuUerL+nrbM89nY2Mjbrd7p0xRo1TwwJk5nPvcNpJC9dQPTJIS5scXtSZ+c0TSXs/NTCxIDubx8/K44Z0qIgJ09IzZMGiUvFNnIydskMbGRvz8/ORRMbVaTX19PQqF4pC61hwsfAFWq9Xuc4DdFXxl5cTERJnb0NHRweTkJIGBgYSHh+9XWdlnf2k0GklMnH3dvvPOO7z11lusXr0aP7/dVyD+/4j/ySBrtVqZnJxkYGCA0047jc7OzkPG0N1RjGJ4eJiWlpZ9Ijj5VswlJSU/Sb/EZ7wcERGBx+NhdHQUk8lEY2MjRqNxp/7lzONyu90y8epwgK/0LooihYWFe10kPLKuFT+1EtOkA4NGSaCfmlcvLyHSXzXr4RIcHExERARBQUG73Wb9wCTdYzYiA7QISBleeoSBW45NlucUAQoKCnZ6AI5NOQn2U/N5zXQmtiApiKMzZldRhiYdCAIUxM6eh90VfMFNYOeRE59fq6+06BNV8XmC+rSVfS2Guro6nE4nAUFSINSqFagUAv46FVMON063iN3lQadWsiQ1hFc2daEQBJwzTM7rByY5KmO6AnPh3Fi+b5ZMDja0jnDD0cmzvpu6ujpUKtVuDcTTIwzcflwK//yymWA/FRa7iwGzg7ahKZLD9u+BfURaKI+syOOWldUE6VWMW11U90/Rp0jlmIVZWCwWTCYT5eXlWK1WDAbDYRlgdTodKSkph+y4ZnIbPB6PPKPe0tKCVquVFx67y0B9AdbXtpqJDz74gBdffJHVq1cfUjvQ/1fwPxdke3p6OO+88xAEgUcffVQu1R6sqpAPvn6vbxTIJ8Wo0Whwu914PB5ZwckHH1M3KCjoZ9MY3XHQfcf+pS/Dra+vJygoiKSkpMPmQeOTlAwICCA5ee8mAd80DlPhLTPqVAoMWiUvXVpMrDcARUZGEhkZKS88BgYGaGhowGg0yqIHM7PkNXUmFAKUdo4TF6ynf8LG85cUoRKgsrISo9G42+ManXJg1CnZ0DKCSiFJK96zfGdVnofPyaN1aHKfzrnPbzUqQCuXowN0Kjb9/ghgukfm7++/2wfzjizd4eFh3j3bgdls5m9blYzaPZht0rbNNpcUZFNCeGljFx5RpHfcTlKonvZhK1s7xvjNEdPbXpoWSqRRMoKv7jXjcHnQqBRyadFgMOw1YFw8P47vmoa90pbSgviL2kGuOzJpr+dnRxybGca/zs7hjvdrUClARODhdS0clR6Kv78/fn5+cjZnMBhobm7GZrMREhJCeHg4gYGBv8hi0xfI9Ho9qampP9l+FAoFwcHBsnSlr+JRU1OD2+2W7ep8lZ8dA/9MfPrppzz99NOsXr16JwGV/xUcHmnJz4SqqiqWL1/O/fffT0pKyn7pF+8rlEolLpeLhoYGJicn5flRp9OJx+NBrVbPCrA+rd/Y2NhDujLdH+zYv/SxlTdu3IjVakWlUh0WM3cg9bZLS0uJiIjYp/Pl9og8tLYFhSCNmfhplLx4adEu9Xx9C4/s7GwWLlxIfHw8ZrOZbdu2UVZWRk9PDw6HgzX1JkIMGpQKga5RKzcdk0JqqJaysjJCQ0P3eFyjU05cHhEP4PbA5QvjdzISADghJ5xrj0zeeQO7wLhX2jE9wsCwV4gi3Oh1svHODIeEhOxzadE3j+vr4+bFBGCxuxnxqlu1dPXhdDqZkxgoz8lOOd0c7TUPqO+fnLU9pUKQZ2tdHpGq3gl5vCMwMHCfjkshCPz99Gz0aiValQKdSsEXNfuvI+vDSTkR/OOMbFwe6Zhah6b4pKp/1oIkMzOTuLg4ioqKmDdvHsHBwfT19bF582aqq6t/1hn1nyvA7gp+fn6yXZ2P9+ATRKmpqaGsrAy1Wr3TcX355Zc8/HJQo58AAF3pSURBVPDDfPLJJztpTe8v9sVyzmcx6PsJCAjg0UcfBeDee+8lNjZW/tvM8Z2fGv9TmWx8fDyrVq0iMTHxkBi37wqiKDI8PExiYiLx8fGIorjb/uvo6Cj19fWHHVNXFEWGhoZkws7g4KC8ig0PD5eZyj83fIzr9PT0fSapfVrVT9uwNK5l1EoBdldBbUf4Fh6BgYHyosNkMvH5+jJaTNL2VAqBuQmBXFAUTmlpKcnJyXtVBxudcjLlcKNVKfDXKvntAWRiM2FxuHB4+6ZZkf5saJUePjEBOhwOBxUVFcTFxc0SAtgfKBQK5iSH80ntiPy7YbNV7uPmReoo7ZX6snkxUqYyMuXE6fbM8qo9uyiaR9a1IgLfNpjA1EJkZCRxcbMVsfaEyAAt956ayW3v1QDQZLLQbLKQFn5g1+LpBZIq1Z8/bQDgga+aiXX1ExEWslNPcWbP2lf5MZlMtLe3o1ar5XLqTzEy90sG2B2xY1m5qqpK7ueOj4/z3XffcdZZZ9HR0cE//vEPPvvss0NCKPVZzt15553cf//93H///TzwwAOzXpOZmUl5eTkgVbtiY2Nnzcjeeuut3HHHHQd9LPuLwyqT/alXK0FBQfLNczCesruDxWKhrq4OnU5HQkKCHGCVSuVOAba3t5empiaKi4sPqwDrKwsVFhYSFBQkf5Y5c+ZQVFSEVqulqalJVtc5UKby/mJsbIzKykpyc3P3+aZ1uD3844smALRKgZcuKyYjcu8zkbuCb+6wXzU926kSRFbETbFt6xZiY2NniZ7vDiNTTkamnNhdHm45NhWj7uDWuSbztFh8aoSBcW9JNyZQQ1lZ2SxRjgPFTA9ZAGNIhKy2NC9uOsD19PWjU0kZadvwbEW1EIOGI9IkRvJnlT3ExsbuV4D14aScCE7Ln/4OPq8Z2MOr945zS2K480TJKH7c6uKzLnYKsDvCtwBLS0tjwYIFZGdnA8gKZIfyvvAFWD8/v188wM6EKIo0NTWh1WqZP38+ixYtIiUlBbvdzmWXXcZll13GEUccQVtb2yHx195fy7l169aRmpq61+/y58BhFWT3xSDXt1opLy9n+/bt+Pn57bRa8f19VwoePvj7+x/ScvHIyAg1NTWyf6qP4KRUKmdZ1PkuTpPJxJw5cw4rKntXVxcdHR2UlJTskgHocwjxlc9m6ujW19czMjJySG6oHTE4OEhDQwPFxcX7JXP5wJdNmL3eqy9dVkRO9P5JZO4Kq6unS5S/OzaBcIOSpKQkxsbG9mpN5nB5ZJ3f9HADZxVF7fSa/YVPQhEk8wKfOIRmaojMzMwDGgHbEekRBtQz5BMn7dI+dDodp8yZ7sEN2RWkBEmkude/k3SVZ56HKxZIqj/9FpHQ8P0XWvfh7pMzCPGypt8r7Tvg7fhw8dwYTkuVyuvvVo4xZNm/1oheryc+Pp6SkhLmzJkjzyVv2rSJ2tpaTCbTAT1ffD1rPz+/nXqdvyR8c8Mej2cWhyQ0NJRjjjkGgA0bNrB48WKeeuopioqK5EToQLG/lnNvv/02F1544azfPfnkkxQUFHDllVfuMoH7qXBYlYs//vhjvv32W0BarRx99NE7lQRm4mBWK4eyXNzd3c3g4KDcf/URnHwZrA++mTQ/P79dMk9/KfhGKBwOByUlJftE6lAqlbslDAUEBMiEoYNlSXd2dh7Q6JAoirIu8BPn5VEUH3RQxwHQM2aVTcoXJxpJFkwUFRXLC6UdGdv+/v4yY1ulUsm2eAB/OTVzlq7xgcInRAGQHOqH1RvEF+SmHDITCbVSQVaUP1U90qLUF8gBUsP8CNCpmLC56DSL/OaYTG5eWcP2AYk81dTUhJ+fH0FBQbgHevBTC0w5RbZ1jLFoN5KKe4NRp+KRFblc/mo5pkkHdf1msqMObAHl61nfcmwKQ+IAG1tH2dAysleVrd3B18/23RczWbo6nU4uK+9NiMFncOEjhR1OaGlpweFw7DQ3vGXLFu644w5WrVpFQkICWVlZrFixQh4d3BuOO+44+vv7d/r93//+9/06PofDwapVq/jnP/8p/+66667jnnvuQRAE7rnnHm6//XZefPHF/drugeKwCrKHarXy6quvMnfuXB566KHdNtxn6hf7AuP+wuPx0NTUhNvtpqioCJACqS9bjYyMlAONzWajsrKSuLi4WTqevzR8TF2j0XjA3pM7MpXHx8dlprJeryciIkKeO9xX+M6h3W4/oNEhQRB4/YpitraPc0zm3su4+4I3tnQDoFHCxekic+bMmfWZdjwPPm3p9vZ2NBoNo0iBIDZQJ+sTHyx8wv0BOhVT5nGc3v5sWvShtUHMjwmQg6x5RpAVBIH5SUGsrR+ixWThuKxwNEqBUH8dmZmZcn+/trYWtVrNomgV6zqdPPt92wEHWYB5ScGyctefP2ng3avn7vc2fAbiCQkJREZG8vzFUQya7UQGHJrq0o4sXV9fv6qqClEUZbWlHZXYfBmsj6V+OKG1tRWbzSYbM/hQWlrKzTffzP/X3pmHRVX3bfweQHYYdpQdRRZBEJLULM2e0FRksdwzl0pbLKvXLJcM681WW9Sessey9HFJwS3BpUxzB00W2ZQdZJmFYdiZ9bx/8J7TbMDAbAc9n+vyumRmDnNmmDnf3++73PexY8fURCjI0cG+6M2yrj+Wc6dOnUJMTIyS5Kvi/1988UXEx8f3eT76wuhBlsVi/QFgKADK6QAw/mpFtSbb3y5BiUSCgoICODs7U/VXMlA//PDDaGtrowKNhYUFOjs7ERYWppf0nb4greP0GfgV5exID0wul4vs7GxYWFhQjVO9reRlMhnV6KGLjN0YHyeM8XEa4CtR58DN7p3xyjG2mDSu91lmVW1pcgzix2l2aBd3i2iQF1hdqPz/pq5h9uYoultCWcMNZetXsm60lyOAWgDKQRYApo3ywB/FfHBaRWCxWMjZ8Dh1X3t7O0pLSxETE9O9kAtvw7lvbiCntgWZmZnUOIiqrrI2fD0nHNO2Xces0f1Pu5MKbAEBAdQFm8Vi6S3AakJRU1gsFoPP56O8vBzt7e1wdnamxoMKCwtpGWBJ/WPV72ReXh5eeeUVpKWlGeycScu5d999t0/LuQMHDqhtvsgADXQ780RERBjkPDVh9CBLEMSTij8q3mfM1YqDgwOVwuhvupg0cw8ICIC7u7tGBSeyM9XR0RFlZWVwd3dHWVkZampqjOqW0xOk+XtwcLDBzN9JD0xyPrOzsxNcLpdayZMBV7H+K5FIKOcORd1TU0MQBB7ztUKVUIKV02P7vbMmxyD8/f0hFovB4/FQUlKCrq4uuLq6wsPDY0CB5l5Tt9qTp7UMI0KjgLNZsDBjUV64+iJcofmppUtZhpGUWJTICDR3SsD+f8eg5uZmFBYWIjIyklpMuLHt8d70kXgq3AMOlmZKCmRsNhseHh5wcXHR6v21sjDHhbcm9vu1iMViZGdnY8SIESZb9JL9DV5eXlSZgcvlIi8vj0orSyQS2qirVVVVobW1VS3AFhYW4sUXX8ShQ4cwcuTIXn6Dbrz77ruYO3cufvzxR/j5+eHw4cMAuhtIX3jhBarJtaOjA7///jt27typdPzatWuRk5MDFouFgIAAtfsNCa3SxcZcrdjb26O6uhpA/4KsQCBAaWkpwsLC4ODgQAVYTQ1OlZWVaGpqQmxsLPVl6ejoUHPL8fDwMGoDFFkrGz16tFFHcWxsbNQCzZ07dyAWi+Hq6go2m42ysjKMGDFCq05dY0HW0lc/4q6XWWZLS0t4e3vD29tbo9QlKWenTaCpEXRnY6aMDkCntPu8bIbov58x0NUWluYsiGUEGtuVg6yT7RA4WFmgVSRFOb8D0b5sNDU1UZMAqmMtC2L/6SpWrF+S4vVkHZccmdFnoOnq6kJOTk6/xsAMDZlWrq2tRUBAANzc3Ci5S0VHLVPJEVZXV0MoFKq5D925cwfLli3D/v37qQ5rQ9GT5ZyqZZ2tra3G+u/evXsNen69Qasga8zVioODQ79HeGpra9HQ0ICoqChYWVn1qOAkl8tRWFgICwsLNV9aW1tbBAQEICAgAF1dXUozqKTkoSG/TPfu3UN9fb3etJEHimKgkUqlqKmpQX5+PoYMGQKBQAALCws4OTmZvDlMIpEgLy+v3zOd2qIqdakYaOzs7Kh6tqouM9nh2dzV/bkd7eMEblv3rpbdD7MDrc/TjAV/F1uU8NopQwJFwr3scb1CiMuljfC1kaCsrAzR0dFaO60o+uOSZQZ9BxoywIaEhOgsjqBPyBqso6MjAgICAEBJ7pLP5+POnTsQiURUep3NZhvlu0HacqpKl5aVlWHJkiXYu3cvRo8ebfDzGMzQKsgac7Wi2F1sZmbW60ybXC5HaWkpJBIJZcHVk0Ud6QGrTbqTnEH18/NT29mR9nT6MlomL8qdnZ0G00YeKEKhEBwOB+PGjYO1tTUEAgHq6+tRXFwMR0dHqkPX2FJ2XV1dyM3N1UpkQh+oBhqyrl9VVUUJHpC2ZKQO8f+b7SDQzZZy7nG3N8ziKdzLASW8djR1qAfZxMihuF4hxJ/FHIy3b0R0dPSAF3GKZQbSupEMNGTWo7913M7OTuTm5iI0NFRvXdf6gBR0YLPZVIBVxNraGj4+PvDx8aGyHoqm9G5ubmqyn/ri3r174PP5agG2qqoKzz77LH766Seq4ZOhZ2gVZI2JYpDtDalUioKCAkp2kCAIKsBaWloqffjIOudAUlGKOzvSaLm8vBydnZ061ewA5dGh0aNHm3x3qEhtbS3q6uqUdtZubm5wc3MDQRAQCoXgcrkoLS3tdWenb0h1KVPtehQF/EeMGIHOzk6qM7WtrQ2Ojo4YHjQScqIeFmYs2Awxp8aLfJ0MU3oYH+iEY7kNEHaoW+NND/fAuuPF6OgSIzo6Vq9/H8VAQ+oqq9ZxnZ2de1w4tre3U0ImdNLPJQOsokhObyhmPXpSnXJ3d9dL6amurg5cLlctwN67dw8LFizAzp07MXZs/zu6H0Qe2CDr6OjYZ5AlG5z8/f2pdF5PEol8Ph+lpaWIiIiAvf3AVIVIFI2WVWt2pEuMs7OzVsGSlNbz8vKCt7e3TuelTwiCQHl5Odra2nrcWbNYLGoEQtPOjrzg6DvtLRQKUVRUhNGjR+v8t9QXNjY28PLyAo/HQ0BAAKysrHAjv1vNynZI9zlXCbo7jYPcDXPO0f8/a9wpURfaaKirxX/j2YiKijJolkR1DrWvOm5bWxvlzdwfIRND098Aq4qq7Ce5COtJxL8/1NfXo76+nsraKd4+b948bNu2DePHj+/3OT+oPLBBVlHxSRNNTU0oKSnRqsGppqYGXC7XIHVOTfZ0DQ0NuHPnTp/dmLrsrA2JXC5HUVERzM3NtRblUN3ZKTaQAaDeI121Y3k8HsrLyzU27JgScrHk6+uLoUO7R1aKWoYAyIeHvSVqa2tR0dCtYuPnIIdcLtd7et3HyRosdAvqk5ANfq2trWr9B4amrzquo6MjeDweoqKiaLNYAnQPsJqwsbGhSk+q3rBkM11vu30SDoeD2tpatQDL4XAwZ84cbN26FZMmTdLLOT8oPLBBVlGMAui+iJMXprq6OtTX12vV4HTnzh3IZDKtlZJ0QVXsgEyllpSUUOpCbm5uMDc3h0AgwN27d/Wys9YnUqkUeXl5cHV1hZ+f34BT14oNZCKRSMkLdaD1bMXUNV1GJ4B/GnaCgoKURk5uVAkBAKHD2AgPD4f496sARPAw60RmZibs7OyUDMh1hcViwc7SHG1iGURSGSzNzVBaWgqxWIyIiAiTeg2r1nFJAQxbW1vk5+dTwg8DLbnoC7lcjry8PLi4uKiJNugLVRF/Tbt9Nzc3tQ0Bl8tFdXU1oqOjldL9fD4fc+bMwccff4wnnnjCIOd8P/PABlkbGxt0dXVRP5OCFFVVVRCJRGoNThYWFkofPNID1sWl27HD2F9c1VQqqS5UUVEBAJQKFZ1MkknVKz8/P2o3pg+srKyomh1Zz66oqEBHRwdcXFzg4eHRazcmuRtrbm6mXVMYWU8MCwtTa9i5w+nujo8N6L79k6QwXK9owpjRw5XS66RjDjmfrUvNzs3eEm2CTlTy2yFvqgWLxVKT1zM1QqEQpaWliI2NhY2NjcY6LjkmZcy/tTECrCo97fbJDBC5+Ojo6EBVVRUlDUsiEAjwzDPPICUlBdOmTdPpXAQCAebNm4fKykoEBATg0KFDGvsdAgIC4ODgQGUNb9682a/j6QbLGA4qvWCyJycIAtHR0bh06RIAICcnBwRBUAbligpOqh3EHR0dyMvLw/Dhw43SdaotBEGgrKwMzc3NYLPZaGxsNGjtsj+QtbHQ0FCjfTFkMhkEAgG4XC5aWlo0ptcJgsCdO3cgl8sRGhpq0t2YKi0tLSgoKOixnpj0fRbucttx8a2JcOujo5is2ZFi9WTtUlXSry/ya1vQ2iWBbXst7P7fGYZOAVZxPlfTYkJxZ9fU1AQbG5sed3b6xBQBti9I1al79+6htbUVXl5eVAbIysoKQqEQTz/9NNauXatkwjJQ1q5dCxcXF8qurqmpSaM2fUBAAG7evKkmFKLt8Saixy/BAx9kL168iK6uLty4cQMBAQHw8/ODXC6HTCYDi8VSa3ASCAS4c+cO7ToVZTIZCgsLYWVlhZEjR1IXPlJlicvlgsViUbsZY9Yb6ZC6Vry4CgQC2Nvbw83NDVwuF3Z2drQLFuR7FhUV1evfqlMshY1l/xJSEomECridnZ1a7fZJ+ho5MSWNjY0oLS2lLBn7QnFnx+fzwWKxDCL8IJfLkZubCzc3N1qpmAHd71lZWRkiIyPR1taG4uJivPzyyxg+fDgaGxvx2muvYdmyZXp5rpCQEFy4cIFS9Hv88cdx584dtcf1FGS1Pd5EMEFWE9HR0di0aRMkEgm8vb0REBAAe3v7HjuIa2trUVtbi8jISFpZ1Gk7mysSiaiAaywD9vr6etTU1FD1bTpAEASamppQUNBt/k3Ws00tdUlCmgoY4z3TtNvvKZUqk8mQm5sLd3d32gULPp9PCWAM9G9I1vZ5PB5EIpFe6rh0DrACgYDytFZ8z1paWvDss8+CzWajrq4OdnZ2mDVrFhITE3VaWDk5OUEoFFI/Ozs7a7ScCwwMpKYnVq5ciRUrVvTreBPBBFlNjBs3Dm1tbdi/fz9kMhmcnZ3BZrNhbm4Oc3NzNQ/Yzs5ORERE0K5md/v2bbWmmL4gU0UcDoe6oHh6eupV/KKyspKSYzP0XGt/II0R/P394enpSe1meDyeyXb7JLW1tVTTnbGbr8hmOh6Ph8bGRtja2lLNdACQm5sLb29vnU3g9Q25KBkzZozeFklkHZfH4w24jiuTyZCXl0fLAEum1VVVuTo6OjB37lwsXryY2sHW1tbi5MmTGDJkCJYvX97r7+3Nrm7JkiVaBcm6ujp4eXmBy+UiLi4O27dvx6RJk5ggO0BM8uRyuRwbNmzATz/9hL/++gve3t4oLS2Fubk5/Pz8lL6oUqkU+fn5sLe3p11KkfyihIeH6zQDKJVKwefzweVy0d7eTolfDFS6jSAIFBcXQy6XIywsjFZ1TnJR0pMxQldXFxVwpVIp1anc39rlQCC1riMjI02+kFN0UOJyuejs7ISHhwdGjBhBqywOh8NBdXU1xowZY7BFCekLy+VyIRAIeu3QJSEDrLu7u0HkOHVBKBSiuLhYrW7d1dWFBQsWYPbs2Vi5cqXen3cg6d6UlBTY29tjzZo1TLp4gBj9ydva2rB48WKEh4fj5s2b+Prrr+Hu7g6RSIT6+noIhUI4ODjA09MTtra2KCgogK+vL+1W72QaVt+pa9X0ISl+4eTkpFWwJP1pHR0dERgYSKtFCekKo60wAdmpTAYZQ+nGkpKXIpEIo0aNotWihJSW9PPzg1QqpUoNZCpVX5mPgVBfX0/NdBorU6JNHZfOAba5uRlFRUVqAVYkEuHZZ5/FU089hVWrVhnkb/r222/D1dWValwSCAT47LPPlB7T3t4OuVxOjVjGxcVh06ZNeOqpp7Q63oQwQZakuLgYt27dwsKFC/HMM8/g7bffRnBwMFV/JeXKqqurweVywWaz4evrS82fmhqCIFBRUYGWlhZEREQY9OKiaMElFAopHeGeUmakYIK3tzetjOmBfxS5+mok6glSeYvL5VJuOaTyli5BkSAISpgjODiYVosSUu9XVVqSXHzweDy0t7dTjVPGNHQgzTpURROMjWod19nZGc3NzfDy8qJdgG1paUFhYaHad0AsFmPp0qV47LHH8NZbbxnsb9jY2Ii5c+eiurqaMoBxcXFRMoApLy+nOpmlUikWLlyIDRs29Ho8TRhcQfbw4cNISUlBUVERsrKyetTIPH36NFavXg2ZTIYXXngB7777LgDt56nGjh0Ld3d3LFu2DE8++SS1sktLS8PQoUMRHR1Nrd75fD5sbGyoep0paoyK7j4hISFGvSATBEGlzBobG2FnZwdPT09KnJxMw9JNXQrorvHU1tYiKipKLzU7slOZy+WiqakJDg4OVPqwPxd8UlOaNOimU4AlR6766qInMx88Hg/Nzc1wdHSEu7s7XF1dDRb8ampqwOfzaZFWV0QkElFqUzKZzGTzuJpobW1Ffn4+oqKilDqnpVIpli9fjoceegjvvvsurT6Dg4zBFWRJh5GVK1fiiy++0BhkZTIZgoOD8fvvv8PHxwexsbE4cOAARo0apfU8lUwmw9WrV5GWloZz585Rc5I1NTVITU1VGv4n00QcDgd8Ph+Wlpbw9PTUu99lT5CWa+7u7iafsyOFDsj3wtzcHF1dXYiIiKDVcDhBEKiqqjJonZPMfJCLD2tra2oh1tvnQiqVIjc3Fx4eHrRriiHnc/ur3UwuxMjGKUPMoCr+PemUVic7rz09PeHt7a1UxzXmPK4myAVTZGSk0iSBVCrFypUrERISgvfff58JsLoxuIIsyeOPP95jkL127RpSUlJw5swZAMDHH38MAFi3bt2ACuQdHR2YPXs2mpqaIBKJMHz4cCQkJGD69Oka63dkUwiPx4OFhYVBBR9I8Qu6mZkD3Z2dZWVlcHV1hVAoVNJaNuXIDkEQuHv3LqRSqVGbrxQ/F+bm5tSYlGL9SywWIycnR+/KV/qAbIqJjIzUaVZUsXap+F7o0rVdUVGB1tZWk0s4qqIaYFUx1jyuJkjFMNUAK5PJsGrVKnh7e+Ojjz5iAqzu9PgG0meuop/U1tYq7QB8fHyQmZkJoLvjkGxUGjZsGLhcbq+/ixS/XrRoEVauXEnNth0+fBjbtm2Dt7c3EhISMHPmTGp3a2dnh8DAQAQGBqKzsxMcDge5ubkwMzPTa5AhHWHoJn4BANXV1eDxeBg7diy1ayPFL27fvg2CIPQm3N8fSBNsW1tbo9c5FT8XXV1d4HK5lDMK2TR19+7dfo9cGQNFMQddm+k0ecIOVF+adGzq6OigbYAdOnRoj30Iqu8FWcdVNGLXxcqyJ8gAO3r0aKUAK5fL8eabb8LNzQ3/+7//ywRYA2OyIMtisf4IDw9Xu/2jjz5CYmJin8dr2oEP9MOSlZWFTZs24cknnwTQrfcZHR2N6OhofPTRRygoKEBqaioSEhLg6uqKpKQkxMfHU7VHGxsbSqyevLDqI8hwOBxUVlYiOjqaVmMT5NywSCRCdHS00kXPxsYG/v7+8Pf3VxLuVxyHMaTqE5mGpUNa3dramnJGEYvFqK2tRW5uLiwtLdHU1IQhQ4aYXLCehJw11UXMoTesra3h6+sLX19fyiWmoqKCapxyd3fX2MFOdl6TJgR0eK9IZDIZcnJyMGzYsH41+ilqbataWeqrjktmv1RV1uRyOdauXQsbGxt8/vnntFqw3K+YLMgSBPEkdOgu9vHxQU1NDfXzvXv3qA+6p6cn6uvrqXRxX/rCs2bN6vE+FouFiIgIRERE4P3338fdu3eRmpqKOXPmwM7ODomJiZg1axY8PDzAYrGULqykwlJhYSFkMhkVcPtKESkKOTz00EO0EnKQyWQoKCiAjY1Nnxc9VeF+Ho+H0tJSdHV1UQF3IH6XPaEqMkEnOjs70dDQQInW8/l8NY9gbcek9A05ChMdHW2U/gJVlxiBQEDZNzo4OMDDwwOurq4wMzPD3bt3IZfLaWdCMNAAq4qqlSVZ0y4rKxtwHbezs5MyqVcsdcnlcmzcuBFyuRw7duxgAqyRGLQ1WalUiuDgYJw7dw7e3t6IjY3F/v37ER4ebpR5KjKFlZaWhmPHjsHS0pKSHhs2bJjaBUEsFoPH44HL5UIsFlO1OtVdnVwuR3FxMVgsFkJCQmj1RZBIJFTtSZdmHZlMRs2ftrW16WUEpC+RCVPSmw6x6piUYpAxRkfqvXv3wOVyDW62rg2KTWR8Ph9SqRS2traIiIigjSQnoL8A2xua6rjkwrS3RTppixgWFgY2m630+zZv3gwej4ddu3aZ/G99HzK4Gp+OHj2K1157DTweD05OThgzZgzOnDmjNE8FABkZGXjjjTcgk8mwfPlyk81TkcbtaWlpOHr0KGQyGWbNmoWkpCT4+vqqBQ5yzpDD4VC7Ok9PT1hbW5vUPq83yNVxYGCgXp2H5HI5NX/a0tIyoPnT/opMGBMOh4OqqiqtdIg1deeSsoaG2GGS2RK6deoSBIHCwkIqM9TY2Eg1Cxm7vq8KGWC9vLyMKlCjOo+rSRiFDLChoaFqkxGffPIJKioq8MsvvzAB1jAMriA7mCEIAvX19Thy5AiOHj2K9vZ2zJw5E4mJiRplGUlJw/r6eggEAri6uiIwMJA2tTrgn5GOUaNGKa2O9Y2m+dO+dnWNjY0oKSkZsMiEIdFFh1hR1pDP58PCwoIKMrru6khLxM7OToSHh9MqwMrlchQUFMDW1hbDhw+nvgNkkOFyuVTjlLu7u17LDX1hqgCr6TwUhVHYbDacnJxQXV2tJhxCEAS+/PJL5OfnY9++fTqXnrTRIKipqcFzzz2HhoYGmJmZYcWKFVi9ejWAbpnE//znP9SUxJYtWzBjxgydzokmMEHWVHC5XBw9ehRHjhyBQCDAjBkzkJiYqCQmkZ2djY6ODowaNQoSiQQcDodKo3p6eupdxq8/kEpJuo509BfV+VNFsXryQlFfX4979+7pTWRCn+hbh5j0g+VyuSAIQskPtj+Q/rkEQSA0NJQ2Czngn65wUpyjJ8iFKY/HQ1tbm1Fq2lKpFDk5ObQzSCAIgmouNDc3h4ODA0QiEXx9fTF06FDs2LED169fx6FDh/SSDdFGg6C+vh719fWIiYlBa2srHnroIRw7dgyjRo1S0iK+z2CCLB0QCAQ4fvw40tLSUFdXh2nTpsHOzg7//e9/8dtvvynN2KmmUckLCWkBZQxqa2tRV1dn8iBGil+QuzpLS0uYmZlBKpWaXFZPFbLzWiwWG0yHWLG+TzooadNERqZhhwwZouQ5TAdIU3NnZ2f4+/v36zjVmvZA1Ld6g64BFuj+LGRnZyMoKAguLi5ob2/H4cOHsXPnTkilUgBAamoqRo0apZfnG4gGQWJiIlatWoW4uDgmyJqAByrIKiIUCvHqq6/i4sWL8PT0xJQpU5CUlISoqCi1CzN5IeFwOGhubgabzYanp6fOurk9QTZ1tbW10c7ajyAIFBQUoK2tDWZmZlR3pru7u8nHnORyOYqKimBhYWG0+VzSkk2xiczd3V1tMUbuEslZTToFWH1ZwpHZD7JZyMrKSmefYDLA+vj40E44RCKRIDs7G8OHD1eauSYIArt378bx48eRnJyMU6dOoa6uDlOnTsWrr76qk6Zyf+3mKisrMWnSJOTn58PR0REpKSn4+eef4ejoiLFjx2Lr1q20UonTASbI0gmpVIrXX38dIpEI33//Pbq6upCRkYHU1FTcuXMHTzzxBBITExEbG6txbpBcuTc1NVGi/eTIg66QgcLc3Nzo+sh9QdbrrK2tERQUBBaLRc0lK6ZRtRmT0jd00CEmx2G4XC6lI0xaFhYUFMDV1dXks8OqkHXOoUOHalRL0gVFxSkA/f5sDIYAGxgYqKYCt3fvXhw+fBgnTpygXmt7ezvOnj2L2NjYPoOsPjxhgW45x8mTJ2PDhg2YPXs2gO5GQDc3N7BYLLz33nuor6/HTz/91J+XTleYIEsnjh8/joKCAqxbt07tYtzZ2YnTp08jNTUVubm5mDx5MhITEzFhwgS1HSXZjcrhcCAQCGBvb0+J9g9k9ymVSpGXl0fL7mby3Nzc3HoMFKpjUmTXtqG9YOmoQ0x+NhoaGlBXVwc7Ozv4+fmZzNxCE8ZMwyp254rFYkplqacUu1QqRXZ2NlXbpBPkufn7+6t1+v/666/45ZdfkJ6e3u96vTZomy6WSCSIj4/HtGnT8NZbb2n8XZWVlYiPj0d+fr7ez9MEMEF2MCISifD7778jNTUVN2/exIQJE5CcnIyJEyeqNTFo0yjUG11dXcjLy6Olni4pMtGfc9PkBWsI6To66xBLJBLk5OTA19cXdnZ2VE17yJAhVBrVVPOn5Ln5+fkZXThENcXu7OxMpdjJWn92drZJzq0vyIWJr6+v2rkdOXIEO3fuREZGhsFG2bTRICAIAkuWLIGLiwu+/vprpftIkSAA+Oqrr5CZmYmDBw8a5FyNDBNkBztisRjnz59HWloarly5gocffhhJSUmYPHmyWr1JsVGIx+P16QxDunSEhobSrj5CysPpIjKhOvLg7OwMT09Pnf1PSb9VOuoQi0Qi5OTkYPjw4WrpxI6ODuqzAfQ/jaor5MIkICBArzPXA4Hsd+DxeGhqaoKtrS3a29sREBBAO0/k3kaIfvvtN3zzzTdIT0836HdYG0/Yy5cv47HHHsPo0aOpEhY5qrN48WLk5OSAxWIhICAAO3fupF0z2QBhguz9hFQqxaVLl3D48GH89ddfiI6ORlJSEp544gmNzT+KnbkWFhaURZ+lpSUEAgHu3LnTb1szY0DO5+pTZEK1bslmsykj+v7UtMmFSVhYmNLgPx0gg782CxNN86faCvcPBLIbdsSIEbRbmEgkEvz999+wsbFBV1cXLC0tqVEpUytO9aYydebMGXz66adIT0+nnZfzAwQTZO9XSE/c1NRUnDt3DuHh4UhKSkJcXJzGnQm5i+FyuZBKpZDJZIiKiqKdw48xRCYIgqDELwQCgdaShqTCFB0XJqS8pKqsnjaQKXYej0cJ9+sqd6lIV1cXtfOnWzAg09eKdc6Ojg6qjqvLbLKu9Gald+7cOXzwwQfIyMignQ2mNsjlclqJoejAgxdkDx8+jJSUFBQVFSErK0uj/jEAnD59GqtXr4ZMJsMLL7yAd999F4B2yiZ0Qy6X48aNGzh8+DB+//13BAUFITExEdOmTVMTCi8rK0NzczNcXV0pbVRSqNzUozCmEJlQrWn3JGlIZ4Wp1tZW5Ofn62XnL5PJqB1/S0vLgHf8JKTkn6oiER3QFGBVUZ1NNlSNXxXSdtPd3V2tK/jixYvYsGED0tPTadcP0Bf37t2Dm5ubya81euTBC7JFRUUwMzPDypUrezQZkMlkCA4Oxu+//w4fHx/ExsbiwIEDGDVqlFbKJnRGLpcjJycHhw8fxunTp+Hr64uEhARMnToVa9aswYgRI7Bhwwbqgkk6BnG5XMjlcri7u8PT09PogaSqqgqNjY2IjIw0WResoqQhj8ejGoVYLBZqa2u10iE2Ns3NzSgqKlLzDtUHpNwlj8ejutjJHb82fyMyfa2qqUsHtAmwqpCNUzweD62trQPS29YGUqDDxcVFraP+ypUrWLt2LU6ePKn30SdDs2HDBly6dAkCgQDr169HZGQkIiIiAHR/9+g01dAPHrwgS9Kbk8+1a9eQkpKCM2fOAAA+/vhjAMC6desGpGxCVwiCQH5+Pg4cOIBdu3YhNDQUCxYsUPLEVUQsFiullMnGGEOmyYyhlDRQOjo6UFJSojQmRYcdP0lvLj/6hiAItLa2UjX+vgQfSOPw8PBw2pUkyFlTXRqwVPW27e3tKcUpXRaJcrkct2/fhpOTk5oCVlZWFt544w2cOHGCdnPP2iCVSsHlcvHLL7/gyJEjsLa2xtNPP4033njD1KemCz0GWXoMzJmI2tpapblGHx8fZGZmAugemia73oYNGwYul2uSc9QHLBYLQ4cOxaVLl/Dpp59iwoQJSE1NxTPPPANHR0ckJCRg1qxZcHd3B4vFgqWlpZoP7N27dw02eyqXy1FYWAgrKyuEh4fTbiVLCl1MmjSJej8KCgogk8mMsgDpDR6Ph/LyckRHRxtld81iseDo6AhHR0cEBQVRgg+5ublUycHd3R02NjZUcxgd3ZF6E3PoD2ZmZnBxcYGLiwu1AOHxeKiqqhrwqBS5KGaz2WoB9tatW1i9ejWOHTs2KAOsXC6HhYUFvLy8sG7dOkybNg0nT57E+vXrUVlZSY38DOIdrRqDOsj2pkySmJjY5/GadvH3yx9WEbFYjPj4eHz44YeYOnUqAGDjxo3YsGEDysrKkJaWhoULF8LS0hIJCQlITEzE0KFDwWKxMGTIEHh5ecHLywtSqZQylO7s7NSL8TopMuHq6tovzVpjoLi7Ju3gzM3N4evrC19fX4jFYvD5fKUFiCE7c1VpaGhATU0NYmJijGK2rgk7OzvY2dkhICAAXV1dlFi9SCSCWCxGWFgY7ZrD9BVgVVFcgIwYMQKdnZ3gcrm4ffs2CIKgPh+9LchI2VB7e3sEBAQo3ZeXl4dXXnkFaWlpvRoo0BkyQyWTyWBubo6YmBiMHDkSgYGBWLlyJczMzPDll1/eV9fhQR1k//jjD52O9/HxQU1NDfXzvXv3qPZ4T09PanC6vr7e5PN8umBpaYmzZ8+qdZuyWCwEBQXhnXfewdq1a1FdXY20tDQsXboUBEFQnrg+Pj5gsViwsLDAsGHDMGzYMMp4vaqqCm1tbVQjSH8cg8RiMXJzc2mpqqOoQ9zT7trS0lJpAcLn81FRUYGOjg6qM9dQDkq1tbVoaGhAdHQ0bRScrK2t4evrCzabjfz8fPj7+6O+vh7l5eUa/U9NgaECrCZsbGzg7+8Pf39/akFWUlKCrq4uje8HaeBgY2OD4cOHK/2uwsJCrFixAocOHcLIkSMNet6GQLWLWLF738HBAfPnz4dUKsV7772H0aNHY9myZaY4TYPwQNdkpVIpgoODce7cOXh7eyM2Nhb79+9HeHi4Vsom9yukJy5pQt/R0YH4+HgkJiYqeXySkJ2oHA5Ha7EHUmRi5MiRtBvnIHWIHR0dERAQ0O+goEn8Qp9WbFVVVRAIBHqz0dMnQqEQxcXFSvVh1ffDUI1CfWHMANsb5PvB4/Gozm13d3eqyY7U5Sa5c+cOlixZgv3791MNQgOhp0kKEoIgsHr1amRkZMDW1hY///wzYmJitDq2NxRTv//9739x69YtjB49GhMmTEBoaCj1OC6Xi82bN6O5uRm7du2ClZXVYNrRPniNT0ePHsVrr70GHo8HJycnjBkzBmfOnFFSJgGAjIwMvPHGG5DJZFi+fDk2bNgAoGdlkwcNgiCUPHGbmpowY8YMJCUlaXSaURV70HRBJUUm6NgMQ+oQe3p66uRWQqJqxaaLoQNBEKioqKDckejUHAYATU1NuHPnDsaMGdNjU5hqo5AhrOk0QapMmTrAqkJ+Pu7evQuRSARnZ2ew2WzY29vDzc0NZWVlWLRoEfbs2YMxY8YM+Hl6m6QgycjIwPbt25GRkYHMzEysXr0amZmZWh2rDZ9//jk++ugjxMTEoLi4GA8//DBeeeUVqoQFdHdNx8fH49dff1W6fRDw4AVZBsPQ2NhIeeI2NDRg2rRpSE5ORlhYmEaLPqFQCA6HQwUYW1tbcDgco5vAawN5Ifb39zeIZq0mQwdtR2HI+rBEIsGoUaNot8JvbGxEaWkpxowZo3WTj+psMin/6ebmptf5aPLvqmoJRwcIgsDdu3dBEASCg4PR3t6O69evY926dbC1tYVQKMS2bdswY8YMnZ6nt0kKkpUrV+Lxxx/HggULAPxjBlBZWdnnsT29NhaLBYIgIBaLsWzZMrz44ouYMmUKzp49iy+//BJSqRRvvfWW0utbv3492tra8NVXX9EuU9MLPX4h6bUUHsQIBALExcVh5MiRiIuL02j/RK7yyX+Ojo5UN11KSgq8vb2p+8idNt1wdXXF8uXLkZ6ejnPnziEsLAwfffQRHn30Ubz//vvIzs6GXC4H8E/nZVhYGMaPHw9ra2tUV1dDJpOhvLwcXC4XMpnMxK+om87OTty6dQsjRowwmCg8i8WCk5MTQkJCMH78ePj7+6O1tRU3b95ETk4O6urqIJFI1I4jCAJFRUUgCIKWAZbP56O0tLTfHc4sFgtsNhsjR47E+PHjMXLkSEpz+e+//0Z1dTW6urp0Oje6B9jS0lLI5XKEhITAzMwMDg4OiIuLw7Fjx2Bubo6EhAR8+eWXeOSRR7BlyxbcvXt3QM+laZKitrZWq8doc6ym10Z+TquqqtDU1AQzMzOqI3rq1Kl45513YGVlha1bt+K3336jjh07diwcHR0HU4DtFXp0TNwHfPLJJ/jXv/5F1XA/+eQTNfGKkJAQ5OTkAOhO33h7eyM5OZm6/80338SaNWuMedo64eTkhMWLF2Px4sVobW1Feno6vv76a8oTNykpCWPHjoWZmRk+/fRTRERE4KmnnoK5uTlaWlrA4XBQVlYGOzs7eHp6Gjxl2BPkqMmoUaP6LUU4UFRHYdra2sDj8ZCdnQ0LCwslQ4eCggLY2tpqrIebGi6Xi8rKSkRHR+u8+7Szs0NgYCACAwMpn2DFUSl3d/d+dSrTWScZAMrKyiCRSBAWFqb0d62vr8e8efPwzTffYNKkSQC6F/EZGRnIyclBcHBwv59Lm0mKnh4zkCkM8v5vv/0Wn332GTo6OiCTyTBv3jyMGDECADBlyhQMGTIEn3/+OdavXw9HR0dMnjwZs2fPxsMPP6z1a6M7TJDVE8ePH8eFCxcAAEuWLMHjjz/eq0LUuXPnMGLECNqNrQwUskNw/vz56OjowKlTp/DDDz9g1apVcHFxgbm5OV577TUqLcpms8FmsynHIA6Hg4qKCkrO0Fi+p3TRIba3t4e9vT0CAwOp0Y+8vDy0tbXByckJXl5etAuwHA4H1dXViI6O1vsIkbW1Nfz8/ODn50d15paWllKduX1JGpIBlo46yUB3gO3q6lLrXOdwOJgzZw62bt1KBVgAcHFxwbPPPjvg5+ttkqKvx4jF4j6P1URBQQE+/PBDfP755xAIBDhy5Ag2bdoEc3NzKj386KOPQiaTIT09HY8++qjSudwvMDVZPeHk5AShUEj97OzsrDFlTLJ8+XLExMRg1apVALrTxT///DMcHR0xduxYbN26lXYar/1FIpFg2bJlaG9vh4ODA27duoVHHnmE8sTVFETJgMvn82FpaUk5BhliDpTOOsTk/LCLiwssLCyMqr6lDfX19aitrcWYMWOMOkJEjo6RkoaaOrfpHmAVm9cUAyyPx8PTTz+Njz76CNOmTdPrc/Y2SUGSnp6OHTt2UI1Pr7/+OrKysrQ6VpU///wTFy9ehEQiwUcffQQAuHTpErZt24aqqips3LgRCQkJascNYsMApvFJH/QmfrFkyRKtg6xYLIaXlxcKCgqo+h+Hw4GbmxtYLBbee+891NfX46effjLI6zAGbW1tmDdvHp544gn8z//8D4Du1/3nn38iLS0NV69exbhx45CUlIRJkyb1KMlH6geTKVQPDw+9NMVwOBxUVVVhzJgxRjMh0BZST9fHx0fJa5NUm+Jyuejq6tKLGMhAIGd0x4wZY9K6mWrntoODA5ydnVFTU0PL0TAAqKysREtLi1p3uEAgwOzZs7Fp0ybEx8cb5Lk1TVJ8//33AICXXnoJBEFg1apVOH36NGxtbbF7925q9LGnKQxNNDY2YsWKFTh9+jRmz56NvXv3UvdduXIF27ZtQ3V1NVatWoVFixYZ5LWaACbIGpr+aB0fP34c3377Lc6ePavx/srKSsTHxyM/P9+Qp2xQ6urqcOXKFcyZM0fj/VKpFBcvXsThw4dx8eJFxMTEICkpCVOmTNE4/kGmULlcLszMzKgd3UD0g+/du0d1OJtKKakntDU0J0XquVwu2tra4OLiAk9PT4OLPdTU1IDP59NuRpcgCPD5fBQWFsLc3JyyLVR1UTIl1dXVaGpqUjIzB7pni59++mmsXbtWqUdjMHP+/Hl89913SE9Px5EjR5R25pmZmUhJSYGDgwP2799PGzEVHWGCrKHpj3jF/PnzMW3aNCVVE1JdCgC++uorZGZm4uDBg0Y5d1Mjk8lw5coVpKam4vz58wgPD0diYmKPnrhkUwypKUzucPtK+RIEgcrKSjQ3N2P06NG0ChLAP3Zw/d2FqdrSGUrsgewSJSUm6QTZlTxy5Eg4OztTWRA+nw8LCwuqccpUpg41NTWUu5Tie9fS0oJnnnkGr7/+OubOnWuSc9MVMsXb1dUFCwsLKmheu3YNX3/9NfLy8vDFF19g5syZ1DG3b99GYGAg7SQ3dYAJsoamJ/EKVfGLjo4O+Pr6ory8XKmTdfHixcjJyQGLxUJAQAB27typlCp8UJDL5cjKyqI8cUeOHImkpCRMmzZN4xdSJBJRKVSyZunp6akWnOns8gP8o4Clqx2cJrEHT09PqvlsoFRUVKC1tZWWIhiKAVaTYExnZyf1GTGF+fq9e/fA4/EQFRWl9N61tbVhzpw5WLFixaBNm5KjOufOncOWLVvg4OCA0aNH48MPPwTQHWi//fZb3LhxA59//rlaHfY+MgJggizD4EMulyM7O5vyxPXz80NiYiJmzJihcdRG0VhbLBZTKWVbW1tKh1iTSpWpMZRbDSl+QYo92NnZUSlUbVN0BEGgvLwcHR0dCA8PH3QBVhVV83VD17Xr6urQ0NCAqKgopUVOR0cH5s6di8WLFw96nd7c3FxMnjwZ8+bNQ2dnJ06dOoWJEyfi2LFjALrTwzt37sTx48exd+9enYU1aAoTZBkGN3K5HPn5+UhNTUV6ejo8PDyQmJiI+Ph4jRdXiUQCPp+PhoYGqikmODjY6E1CfUFKTEZGRhrcr7etrY1KoZKd272pK5FiCeTun07vG9AdYLOzsxEcHDwgyVNNdW13d3c4Ozvr5bXW19ejrq5OrUGss7MTCxYswDPPPIMVK1bo/DymQLEL+Pz587h06RI2bdqE9vZ2XL58Gc899xxiYmJw6tQpAN072kOHDuHtt9/WavxnEMIE2fsNgUCAefPmobKyEgEBATh06JDGkZ+AgAA4ODjA3NwcFhYWuHnzZr+OpyMEQaC4uBipqak4efIk2Gw2EhISEB8fT3niAqA0YYcNGwYrKytwOBx0dHRoNWdpDEitX1OMECl2bpubm1N1bVKxiZT7k8vlCA0NpW2ADQkJ0cvnVlVzm9SYHmiavaGhAffu3UN0dLTS8SKRCIsWLcKMGTPw6quv0u591QbSpq68vBxVVVX49ddfYWdnh61btwLoXrz89ddfWLx4MaKioqhAKxaLYWlpOZjHdHqDCbL3G2vXroWLiwvVaNXU1KRR/CIgIAA3b95UU7zR9ni6QxAEysrKkJqaihMnTsDKygqzZs3C+PHjsWLFCnzwwQd46qmnqMerOsIYqytXFT6fj7KyMkRFRZmsGYdEtZHMzc0NbW1tsLS0pGV6nWwQ01eAVUVTmp00MdCmU1lRpEMxLS8Wi7FkyRJMnjwZb775Ju3e1/6QnZ2NKVOmwMXFBa2trQgLC0N6ejpV7pDJZLh8+TJmzpyJxx9/HCdPnryf6q+aYILs/Ya2I0M9Bdn+jBwNFgiCQFVVFf7zn//g3//+N2JiYjB16lQlT1xF5HI5FXBbWlr0bknXE3Se0RWJRMjNzYVIJMKQIUOoHa6dnR0tLpCGDrCqqKbZyffE3d1do04zl8ul/raKAVkikeD555/H2LFj8c4779Divewv5A62q6sLc+fOxbhx45CcnIzi4mK89NJLmDhxIvbv369kcZiZmQlXV1eEhISY+OwNDhNk7ze0VZgKDAykakwrV66kakD9VagaLBQWFmLhwoXYuXMnfHx8KE/crq4uyhM3MDBQY8BVFDZgs9lUulCfAbeurg51dXWIioqizfwmiVwuV9JJJo3ouVwuOjs7TZ5mN3aA1URHRwd4PB54PB7VqUw21/F4PFRUVKjJTEqlUqxcuRKhoaHYtGnTgN+7vjxd9+3bR2Wj7O3t8d133yEqKgpAz2WjvmhqaqK63VksFioqKvDFF1+gubkZGzZsQFhYGADg8uXLmDNnDmJiYnD48GG17v77NEWsCBNkByP6UJiqq6uDl5cXuFwu4uLisH37dkyaNOm+DLJCoRBPPPEE9u3bR335gX88cY8cOYIjR45AKBRi5syZSExM1JgOJQiCsuhTHIMZiAesIjU1NdQoB91mdMnGMgcHBwQGBqrdrynNTu76jRFwyQCr64iTPlEcH+vs7IRMJkNERIRS45RMJsOqVavg7e2Njz76aMDvlTaerlevXkVYWBicnZ1x6tQppKSkIDMzE0DPGa2eIGvyK1asQEZGBtWUl5mZSekNX7hwQUlfOTMzE/PmzcOwYcPw+++/308zsNrABNn7jYGke1NSUmBvb481a9bcl+lioHun0ZdPLZ/PpzxxORwOnnrqKcoTV1PAVazPkR6w/XUMqqioQEtLi5raDx2Qy+XIy8uDs7OzVoYVqk1Chtr1k9AxwCoiEAhw9+5d+Pj4QCAQ4MaNG8jKykJycjJOnjwJFxcXfPbZZzq9N9r4wSrS1NSEiIgIypKuv0GW5PHHH8fSpUuxdOlSqqZ68+ZNxMfHY+zYsfj555+VfmdmZiYWLFiAEydOICIiYiAvdbDC+MnebyQkJOCXX34BAPzyyy9ITExUe0x7eztaW1up/589e5b64Gtz/GBEGyN4Nzc3PP/888jIyMC5c+cQEhKCDz/8EI8++ihSUlKQk5NDeeKSHrDBwcGUB2xLSwtu3LiB3NxcNDQ0QCqV9vhcpAhGe3s7LQOsTCZDbm4uXF1dtXaEMjMzg5ubG0aNGoXx48dj2LBh4PP5yMzMRH5+vl59gukeYJuamlBSUoLo6Gj4+PggMjIS8+fPx5QpU/DFF1/gt99+Q3NzM86cOQORSDTg5+mvp+uPP/6I6dOnUz+zWCxMnToVDz30EH744Yc+n08ul0MmkyE6OhoXL16kfodcLsfYsWNx8uRJZGVlYenSpeByudRx48aNo2a+TbyBow3MTnaQoo3CVHl5OaWFKpVKsXDhQkrYu6fjH2RaWlqQnp6OtLQ0lJSUUJ64Dz30kFpwVGyI4fF4sLa2VvKAJR9DZgdCQkJo1+wik8mQk5ODoUOHwtvbW+ffRxAEWlpaqF2/rraFnZ2dyM3NpW2AFQqFKC4uVjOrl8vl2LhxI7q6urB9+3Zcu3YNR48exZ9//okVK1bg1Vdf7fdzHT58GGfOnMGuXbsAAHv37kVWVha2b9+u9tjz58/jlVdeweXLlyl5zp7KRn1RUFCAmJgYfPPNN3jppZeo12dmZoacnBzMmDED0dHR2LVr1wOpUKcAky5mYOgPHR0dyMjIwJEjR3D79m1MnjwZSUlJGDdunMY0cXt7O2XRRzoGCQQC2NjYICgoiHYBViqVIicnB97e3ga5OBIEofSeWFpaUgFXm45qMsCGhYVpVPcyNc3NzSgqKsKYMWOURrAIgsDmzZvB4/Gwa9cupc8KuTAbiKqXtunivLw8JCcn49SpUz2auyuWjXqDDKZbtmzBnj178MknnyApKQnAP53GBQUFePTRRzF69Gj8/vvvGjuuHxCYIMugO9oIWNTU1OC5555DQ0MDzMzMsGLFCqxevRpA95f7P//5D9zd3QEAW7ZsGRQSa11dXTh79ixSU1Px999/49FHH0VycjIeeeSRHj1xb9++DalUCltbWzWhB1NDWun5+flRVouGpqOjg9r1s1gs6j3pyXGJzgG2paUFhYWFaiIiBEHg448/RlVVFX7++We9Nrdp4+laXV2NJ554Anv27MEjjzxC3d7e3g65XA4HBwe0t7cjLi4OmzZtUpof743CwkJs2bIFFRUVWLNmDZUdI4NwUVERampqMHXqVL293kEIE2QZdEcbAYv6+nrU19cjJiYGra2teOihh3Ds2DGMGjVK6xU0nRGLxTh37hzS0tJw7do1jB8/HklJSXjsscdgaWmJ1tZWfPPNN1iyZAl8fX3VhB48PT0HbNGnr/PXxkrPkHR1dVFduXK5XGkMhu4BtrW1Ffn5+RgzZoxagP3yyy+Rn5+Pffv2GcS+rS8/2BdeeAFpaWlUbZ0c1emtbKQqENGTYMTVq1exbds25OfnY9myZZRHtCL3udhEXzBBlkF3BtKRnJiYiFWrViEuLu6+CLKKSCQSyhP30qVLGD16NAoKCrBw4UJq966ISCSiAq5MJqN2c9o0a+kDsViM7OxsjBgxot9dpoZCUbC/q6sLYrEYwcHBGDp0KO0u2GSGIioqSulvRhAEduzYgczMTPz666+0m3/Whv379yM5ORlWVlZK/QeKgbOgoAAnTpzAli1bMHXqVMyaNQuzZs3qly3jfQwTZBl0p7+ztZWVlZg0aRLy8/Ph6OiIlJQU/Pzzz3B0dMTYsWOxdevWQaOX3BdcLhf/+te/EBgYiIqKCkRERCAxMRFPPvmkxiBKBhcOhwOpVAo3Nzd4enoazCSgq6sLubm5CAoKouVFsbOzEzk5OfD09ERbWxutNKaBfwKsqpEDQRD44Ycf8OeffyItLY12Cl7asG/fPqxZswb19fVaPb6iogKffvopampq0Nraiq+//hrR0dEm/xuZGCbIMmiHPgQwgO6L0uTJk7FhwwbMnj0bQLecoJubG1gsFt577z3U19fjp59+MsjrMCb19fVITEzEhx9+iGnTpkEul+P69etITU3FH3/8gZEjRyI5ORlTp07VOKAvkUiUdnNk+tTe3l4vFy46KCX1BpkiHjVqFBwdHQGoi18YS/JSE+3t7cjLy8Po0aOV/n4EQWD37t04efIkjh07ZnIN6oFSUlKCSZMm4c8//+zTDIKsw5I73IKCAoSGhtJOXMUEMEGWQXe0TRdLJBLEx8dj2rRpeOuttzT+rsrKSsTHxyM/P9/Qp21wvvvuO4SHh2sciZDL5bh16xZSU1Nx+vRp+Pv7IzExEdOnT9dYcySlDDkcDiVl6OnpOWCLPrqPwZBm9YoBVhVVyUvSIUdXBS5tzy83N1ej1++ePXsoYwpjpfx1hQyOimng6upqREVFYdeuXXj66adNfIaDFibIMujO22+/DVdXV6rxSSAQ4LPPPlN6DEEQWLJkCVxcXPD1118r3VdfX0+Ni3z11VfIzMzEwYMHjXX6JoeULjx8+DDS09MxdOhQJCYmYubMmRpnlGUyGaUd3NbWRqVPtXUMIndg4eHhPQYwU6JNgFWFlLzkcrkQCAQDVuDSBjKFrSnAHjx4EHv27EF6erpBfYANBTkhIJVKYWFhgeTkZIwdOxYbNmygLOkY+gUTZBl0RxsBjMuXL+Oxxx5TUjciR3UWL16MnJwcsFgsBAQEYOfOnQ/sADtBECgqKqI8cZ2cnCgTenLESRGZTAaBQAAOh0OlTz09PXvUDiZriJoCBB0gd4i6LAAIgkBrayvlkEOKX2hrSdcbvXU5HzlyBD/88IOStdtgYuvWrfjiiy/g7+8PDw8PTJ8+HVu2bMH48eNx4MAByOVytSD7gHcOawMTZBkY6ApBECgtLaVSjzY2Npg1axYSExPh6enZo2MQh8OhtIM9PT3h7OwMMzMzasxEtYZIF8gdbHh4uF6DlKIlHSkI0pMlXW+QNWxNAfa3337Dtm3bkJ6eTsv0uzZcu3YNBEHgr7/+QnFxMerq6lBaWoqqqiqMGjUKbDYb0dHR8PPzw5NPPgkLCwtERkaa+rTpDhNkGRgGAwRBoLKyEmlpaTh27BjMzMwQHx+PpKQkeHt7awy4ZPq0qakJ1tbWaGtrQ3R09AMVYFXp7OykxqVI8Qt3d3el2VZNiEQiZGdna6xhnz59Gp999hnS09Np2aE9UAiCQEZGBtatW4dnn30WEokEly5dQnV1NRobG7FmzRq8/fbbpj5NusMEWYbBRV/emQRBYPXq1cjIyICtrS1+/vlnxMTEaHXsYIEgCNTV1SEtLQ1HjhyBSCSidrgBAQFqAVcoFKKgoABOTk5oaWmBg4MD1SBEh+5PskZs7BS26nwy2b2tWksViUTIycnByJEj1Wrk586dwwcffICMjAyN6fzBiGIK+MqVK5g+fTquX7+OUaNGUbXau3fv9ijPyKAEE2QZBg/aeGdmZGRg+/btyMjIQGZmJlavXo3MzEytjh2MEAQBDoeDo0eP4siRI2hubqY8cUeOHIkzZ84gPT0dn3/+OaytrZXE+vl8Puzs7Kh6pSHUiPrCVAFWFdVxKXI+2dLSEjk5ORrniC9evIgNGzZQzWoDpa/F34ULF5CYmEj5+c6ePRubNm3S6lhdkcvliI6Oxvr16zFv3jxIJBKlujZTk+2THt8c43/bGBj6ICsrC0FBQRg+fDgAYP78+Th+/LhSoDx+/Diee+45sFgsjB8/HkKhEPX19aisrOzz2MEIi8XC0KFD8fLLL+Pll18Gn8/HsWPHsG7dOlRXV6OzsxPbt2+n6o8sFgtsNhtsNhtBQUFoa2sDh8NBZWUlrK2t4enpqZcGIW2gS4AFgCFDhsDLywteXl6QSqVobGxEWVkZGhsbqQ5l1R3eunXrdA6wMpkMr776qtLiLyEhQe1z+dhjj+HkyZMDOlYXzMzMwGazcf78ecybN0/tc8EE2IFDL3NLBgZo553Z02P667s5WHFzc8MLL7yA1atXw8bGBm+++SZ27tyJRx99FJs3b0Zubq6SJ66DgwOCgoIwfvx4BAUFobOzE7du3UJ2djZqa2shFosNcp6KQg6mDrCqWFhYwMXFBWKxGBEREfDy8kJtbS3mz5+PpUuXYseOHVizZg1OnDgBLy8vnZ5LceFoaWlJLf4Mfaw2kJ+Txx57DNXV1Xr7vQzdMEGWQWf0XXLQ9PtUV9I9PUabY+8XTpw4gQ8++ABnzpzBa6+9hhMnTuCvv/5CVFQUvvjiC0ycOBEbN27EzZs3qQspANjb22P48OEYN24cQkJCKNOAv//+G/fu3dPJXFyRnpSS6AJp9xcQEABPT0+4u7sjPDwce/fuxbhx4/Djjz9CJBLh/fffx8mTJ9HV1TXg59J28Xft2jVERUVh+vTpKCgo6NexA4UctfPz87uvGrroAhNkGQaMVCpFVVUVWCyW0kVcV3x8fFBTU0P9fO/ePbWdRE+P0ebY+wWRSISMjAylC6OjoyMWLlyItLQ0XLlyBRMmTMC///1vTJgwAe+88w6uXbsGmUxGPd7W1haBgYF4+OGHMWrUKMhkMuTl5eHmzZuorq4ecGAZLAHWz89PzY2ouLgYv/zyC06ePInCwkK8+OKLuHDhAsaPH4/S0tIBPZ82i7+YmBhUVVUhNzcXr732GuXdaqyF4/PPP4+9e/fq/fc+6DBBlmHA1NfXY8KECTh48KBe5e1iY2NRUlKCiooKiMViHDx4EAkJCUqPSUhIwJ49e0AQBK5fvw42m41hw4Zpdez9wpw5c3qd1bS3t8ecOXNw8OBB3LhxA3Fxcfj5558xYcIEvPXWW7h48SKkUin1eBsbG/j7+yM2NhYREREAup1Xbty4gcrKSnR2dmp1Xm1tbbQOsDKZDDk5OfDx8VHz0yWD6qFDhzBy5EiYmZlhwoQJ+OKLLygHo4GgzeLP0dGRer9mzJgBiUQCPp9vtIWjKRriHgSYd5VhwPj6+iI4OBi3bt3C/PnzKfFwAKiqqqJ8LfuLhYUFduzYgWnTplHemeHh4UremTNmzEBGRgaCgoJga2uL3bt393rsg461tTUSEhKQkJBAeeIeOnQI//M//4MJEyYgMTERkyZNohperK2t4efnBz8/P4jFYnC5XBQVFUEqlfY4AgP8ozRF9wDr7e2t1shUXFyM5cuX48CBAwgNDVU7Vpfdo+Liz9vbGwcPHsT+/fuVHtPQ0ECJj2RlZUEul8PV1RVOTk59HstAX5gRHgad+O9//4v169crNUx88MEHSElJwe7du7FkyRKNxzEjAfRAIpHgr7/+QmpqKi5duoSxY8ciMTERU6ZM0aiURI7AcDgciMViJYu+9vZ22gfY3NxceHp6wtvbW+m+srIyLFq0CHv27MGYMWMM8vx9ma7v2LED3333HSwsLGBjY4Mvv/wSjzzySI/HMtAKZk6WwTBcu3YNzz33HNLS0mBjY4MPP/wQZ8+exfbt2zFnzhyNx5AB9tq1a5gwYYKRz5ihJ6RSKS5fvozU1FRcuHABkZGRlCeuJqUkqVRKzZy2tbVBKpUiNDQUHh4etFtAyeVy5Obmwt3dHT4+Pkr3VVZWYsGCBfjxxx8xduxYE50hwyCHCbIM+kcmk8Hc3BwTJ05EYGAgqqqqYGtri82bN2P8+PEANO9Yu7q6kJaWhpdffhk3b96kjaJMXwP/+/btw6effgqgu9753XffISoqCgAQEBAABwcHmJubw8LCAjdv3jT6+esTmUyG69evIy0tDX/88QeCg4MpT1zVNDGplezl5YXm5ma0t7dTFn10MFyXy+XIy8uDq6urUpcuANTU1GDu3LnYuXMn9ZllYBgATJBlMByvvPIKvv/+e6xduxZr167VaNumyLZt25Camoo33ngDs2fPpkXqWBulqKtXryIsLAzOzs44deoUUlJSkJmZCaA7yN68eRNubm6megkGQy6X4++//0ZqairOnDmDgIAAyhO3qKgIGzduxNGjR6kUsarhuouLC2W4buy/s1wux+3bt+Hk5KTWI1BfX49nnnkG27Ztw2OPPWbU82K472AUnxgMg1AoREdHByZPnoxPPvmkz8dfvXoVn3zyCTZv3ozZs2cDUG4oIQgCBEEY3IxbFW1Upsj6GACMHz8e9+7dM+o5mgozMzPExsYiNjYWH3/8MW7fvo3Dhw9jypQpaG5uxquvvgqJREI93tzcHB4eHvDw8IBcLodAIEBdXR2Ki4vh5OREWfQZ+m9M+vey2Wy1ANvQ0IC5c+di69atTIBlMCjMCA+DTlRUVODcuXNU/VXxYquKUCjEDz/8gJCQELz44ovU7Y2NjSgpKQHQHXCNHWCB/g/8//jjj5g+fTr1M4vFwtSpU/HQQw/hhx9+MOi5mhIzMzNERUVhzpw5sLKywq5duyCVSpGcnIzk5GTs3r0bPB5P6fFubm4IDw/HuHHj4OHhAQ6Hg8zMTBQWFoLP5+t1xpqEIAgUFhbC3t4eAQEBSvfxeDzMnTsXH3/8MZ544gm9PzcDgyLMTpZBJ/Lz89HS0oIFCxYAgEYtXHK058KFCygqKsLSpUsB/DNk/+uvv2LVqlW4desWTp06RQUrRaRSKczMzAwWgPsz8H/+/Hn8+OOPuHz5MnXblStX4OXlBS6Xi7i4OISGhmLSpEkGOVdTk5ubiyVLliA1NRVBQUGYMWMGNm3ahJKSEqSmpmL+/PmwsbGhRobIsRQzMzO4urrC1dUVBEFAKBSCw+GgpKREr45BZIC1sbGhMhMkjY2NmDNnDjZv3oypU6fq9DwMDNrA7GQZBoxQKMSvv/4Kb29vODs797gjIYPVn3/+CScnJ0yZMoW6vbOzk6pr/uc//0FeXh4mTZqE9957DwAoxSELCwuD7nC1HfjPy8vDCy+8gOPHjyspLZGP9fDwQHJyMrKysgx2rqbGxsaGCrAkLBYLwcHBWL9+Pa5evYpdu3ZBIpFg8eLFmD59Or799lvU1tZSixkWiwVnZ2eEhoZi/Pjx8PHxgVAoRFZWFvLy8sDhcJSUqbSFIAgUFRXByspKLcAKhULMmTMH69evx8yZM3V7ExgYtIRpfGLQiZMnT0IulyMhIYHyoNREe3s7XnzxRQwZMgS//PILdXtpaSnGjh2LNWvW4Pnnn8ewYcOwceNG/PHHH1i0aBHKy8uRmpqK2bNnY+PGjWpenooCGLoglUoRHByMc+fOwdvbG7Gxsdi/f7+SkEV1dTWeeOIJ7NmzR6k+297eDrlcDgcHB7S3tyMuLg6bNm3CU089pfN5DXYIgkBtbS3liSuRSChPXH9/f42a1K2trZRFn42NDWW43pciEUEQKC4uhrm5OUaOHKn0u1taWvDMM89g9erVPY6WMTDoANNdzGBahEIhli5disDAQHz11VdUR/Evv/yCl19+GXV1dZREYGpqKhYuXIiEhASsWLECZmZmeP7557FhwwasWLECANDc3Aw2m630HORI0UDpSyzghRdeQFpaGtVEQ47qlJeXIzk5GUB3sF64cCEjFqAB0hP3yJEjOHLkCFpbWylP3KCgII0Bt729HRwOB3w+H5aWlpSQv2pZgiAI3L17FwAQHBys9Lva2towZ84crFixAosWLTL8C2V4EGGCLINh0Gb8htxtjhw5EmvXrqWankQiEebNmweRSIRTp05Rt/3v//4vvv/+e6UGmqSkJLBYLOzbtw+2trZYv349CgsL8frrr4PNZqvVcOVyOQiC0Lm+x2A4eDwejh07hrS0NPD5fMyYMQMJCQkICwvT+Jlqb28Hl8sFj8eDhYUF1cE8ZMgQlJSUQCaTITQ0VOnYjo4OzJ07F8899xzVCzBQ+pqj/vzzz7Fv3z4A3YutoqIi8Hg8uLi43Hdz1Axq9HwRJEcmTPSP4QFBLpcTjz/+OJGWlkbdVl5eTri5uRH79++nbqurqyOio6OJl156ibpNIBAQy5YtI6ZPn04QBEG0tLQQ8+bNI5ycnIhFixYRkZGRBJvNJvbu3dvj88tkMoIgCGL//v3Ed999p++XpxOnTp0igoODiREjRhAff/yx2v3nz58nHB0diaioKCIqKorYvHmz1scOFhobG4ndu3cTs2bNIsaMGUOsXbuWuHbtGtHa2kq0t7er/ePz+URBQQFx/vx54vTp08T58+cJPp+v9pi4uDhi586dOp+fVColhg8fTpSVlREikYiIjIwkCgoKenz8iRMniClTplA/+/v7EzweT+fzYKAtPcY5JsgyGI1169YRS5cuJQiiO+ju2rWLYLFYRHNzM/WYixcvEmZmZkRWVhZ1W3Z2NhEaGkps2bKFIAiCuHDhAhESEkIkJSURxcXFhFQqJd58800iKiqKKCoqIlJSUoinn36aOHHihNo5fP/998TcuXOJzs5OA79a7dDm4n3+/Hli5syZAzp2MCIUCon//ve/xOzZs4nIyEjirbfeIi5evKgx4Obm5hLXrl0jCgsLib/++ovYuHEj8e677xJZWVnE9OnTie3btxNyuVznc7p69SoxdepU6uctW7ZQn0dNLFiwgPjhhx+on5kge9/TY5xjuosZjEZsbCzVWUwQBCZOnIivvvoKjo6OALpnbM+ePQs3NzfExsZSx92+fRsNDQ2YP38+gG5BC3t7e7zzzjsICQmBubk5goKCkJeXh5SUFLDZbPj4+OD1119HWlqa0jlMmzYNly9f1smAW58oimBYWlpSIhiGPpbOsNlsLFq0iPLEHTduHHbs2IEJEybg3XffxfXr1yGTybB+/XocPHgQo0ePhr+/P8aOHYtnn30WlpaWePbZZ1FUVIT29naUl5frfE79maPu6OjA6dOn8fTTT1O3PShz1AzqMEGWwWgkJydTgdLMzAyhoaFYvXo1db9IJMLff/+NyZMnU7c1Nzfj6tWrCAoKQmBgIGWl5uXlpVSHLSgoQHBwMN5//3288cYb+Prrr+Hm5oaTJ08CAOWbWlZWhiFDhphcxpFE24v3tWvXEBUVhenTp6OgoKBfxw5m7O3tMXfuXPz666/IysrCv/71L+zevRuRkZG4dOkSJk6cqDTqM3ToUOTn52PZsmXIysqCu7s7XnvtNYwbNw5//PHHgM+D6Mcc9W+//YaJEycqyYteuXKFmgP/9ttvcfHixQGfC8PgghGjYDAqlpaW1P8JlaYpe3t7ZGRkoKOjg7qtvLwcaWlpVFdxdnY27t27hyeffJLqMCW9TqdOnYqwsDCl53JycoJYLKaet6GhAYGBgSgpKaGF44o2F++YmBhUVVVR709SUhJKSkr6deG/H7CxsUFiYiIqKyvR1taGZcuWITU1FWvXrsUjjzyCWbNmYd++fYiKisI777wDFouF5cuXY/ny5RAKhRCLxQN+7v4Ypx88eJASZyHRNEd9v4qVMCjD7GQZTIamkQ0AsLW1pW4bPnw4Xn31VbzwwgsAgD/++AMCgUBJDu/SpUtoaWlR2tkWFhaitbUVvr6+SoFdKBSCx+Op+YmaCm0u3o6OjpT4/owZMyCRSMDn8/t14b9f+Pe//40///wTv/76KxISErB7927k5ORg7ty5+PHHH9HR0YH33ntP7bPl5OQEDw+PAT+voum6WCzGwYMHkZCQoPa45uZm/PXXX0hMTKRua29vR2trK/X/s2fPIiIiYsDnwjC4YHayDLRB0y6MzWbj/fffp36OiopCQ0ODUs324sWLcHV1VbIqO3v2LKysrCgrOqBbkCA/Px92dnYYNmyYgV5F/1C8eHt7e+PgwYPYv3+/0mMaGhooacKsrCzI5XK4urrCycmpz2PvN3x9fXHo0CGlhdOQIUMQFxeHuLg4gz2vhYUFduzYgWnTplFz1OHh4Upz1ABw9OhRNTtADoejNkfNCJU8ODBzsgy0RzWtrIhQKMRTTz2FwMBAHDhwgLo9OTkZVlZW+Oabb+Dp6QkAuHHjBl588UXMnj0bmzZtMsq5a0NfIhg7duzAd999BwsLC9jY2ODLL7+kFKc0HcvAwGB0GDEKhvsDTTKKDQ0N4PF4GD16NADgzp07mDZtGlauXIl169ZRj1u3bh3Onj2LtLQ0NWcWBgYGBh1g/GQZ7g806RQPHToUQ4cOpX4WiUSYNGmSUqr48uXL+O233/D8888zAZaBgcFoMDtZhvsW0rCgqKgIL730EkJCQrBt2zZYW1ub+tRoASMTyMCgN5h0McODg2JKWS6XY968efD09MQHH3ygNLv4ICOTyRAcHIzff/8dPj4+iI2NxYEDBzBq1CiNj//tt9/w1Vdf4c8//wQABAQE4ObNm3BzczPmaTMw0BUmXczw4KCYUu7o6MCSJUswY8YMg/rRDjYU1aIAUGpRPQXZAwcOqM1+MjAw9A1z1WG4r7G3t0d8fDwTYFVgZAIZGIwDs5NlYHgA0YdMoJeXF7hcLuLi4hAaGsooGDEwaIBZ3jMwPIAYQiaQgYFBHSbIMjA8gDxoMoHLly+Hh4dHj+dJEARef/11BAUFITIyErdu3aLuO336NEJCQhAUFIRPPvnEWKfMcJ/ABFkGhgcQRZnAsLAwzJ07l5IJJNWmgJ5lAh999FFERUXh4YcfxsyZM2kvE7h06VKcPn26x/tPnTqFkpISlJSU4IcffsDLL78MoLsL+9VXX8WpU6dQWFiIAwcOoLCw0FinzXAfwIzwMDAwPBBUVlYiPj4e+fn5avetXLkSjz/+OJUWDwkJwYULF1BZWYmUlBScOXMGAPDxxx8DgJKSGAMDehnhYXayDAwMDzw9dVs/CJ69DIaFCbIMDAwPPD11Wz9onr0M+ocJsgwMDEaHbo1IPXVbP4ievQz6hQmyDAwMRodujUgJCQnYs2cPCILA9evXwWazMWzYMK27sBkYeoIRo2BgYDA6kyZNQmVlZY/3Hz9+HM899xxYLBbGjx8PoVCI+vp6VFZW9ksOkmTBggW4cOEC+Hw+fHx8sHnzZkgkEgDdnr0zZsxARkYGgoKCYGtri927dwPo2aydgUFbmCDLwMBAO/rTiJSZmdnn7ztw4ECv97NYLHz77bca75sxYwZmzJih5ZkzMCjDpIsZGBhoB9OIxHC/wOxkGRgYaEdPDUdisZhpRGIYVDA7WQYGBtrBNCIx3C8wO1kGBgajwzQiMTwoMLKKDAwMDAwMusHIKjIwMDAwMBgbJsgyMDAwMDAYCCbIMjAwMDAwGAhTNz4xA24MDAwMDPctzE6WgYGBgYHBQDBBloGBgYGBwUAwQZaBgYGBgcFAMEGWgYGBgYHBQDBBloGBgYGBwUAwQZaBgYGBgcFA/B96sUydJjwGZgAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Create a Cartesian grid\n", "L = 1 * u.mm\n", "grid = CartesianGrid(-L, L, num=100)\n", "\n", "# Create a spherical potential with a Gaussian radial distribution\n", "radius = np.linalg.norm(grid.grid, axis=3)\n", "arg = (radius / (L / 3)).to(u.dimensionless_unscaled)\n", "potential = 6e5 * np.exp(-(arg ** 2)) * u.V\n", "\n", "# Calculate E from the potential\n", "Ex, Ey, Ez = np.gradient(potential, grid.dax0, grid.dax1, grid.dax2)\n", "mask = radius < L / 2\n", "Ex = -np.where(mask, Ex, 0)\n", "Ey = -np.where(mask, Ey, 0)\n", "Ez = -np.where(mask, Ez, 0)\n", "\n", "# Add those quantities to the grid\n", "grid.add_quantities(E_x=Ex, E_y=Ey, E_z=Ez, phi=potential)\n", "\n", "\n", "# Plot the E-field\n", "fig = plt.figure(figsize=(8, 8))\n", "ax = fig.add_subplot(111, projection=\"3d\")\n", "ax.view_init(30, 30)\n", "\n", "# skip some points to make the vector plot intelligable\n", "s = tuple([slice(None, None, 6)] * 3)\n", "\n", "ax.quiver(\n", " grid.pts0[s].to(u.mm).value,\n", " grid.pts1[s].to(u.mm).value,\n", " grid.pts2[s].to(u.mm).value,\n", " grid[\"E_x\"][s],\n", " grid[\"E_y\"][s],\n", " grid[\"E_z\"][s],\n", " length=5e-7,\n", ")\n", "\n", "ax.set_xlabel(\"X (mm)\", fontsize=14)\n", "ax.set_ylabel(\"Y (mm)\", fontsize=14)\n", "ax.set_zlabel(\"Z (mm)\", fontsize=14)\n", "ax.set_xlim(-1, 1)\n", "ax.set_ylim(-1, 1)\n", "ax.set_zlim(-1, 1)\n", "ax.set_title(\"Gaussian Potential Electric Field\", fontsize=14);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will then create the synthetic radiograph object. The warning filter ignores a warning that arises because $B_x$, $B_y$, $B_z$ are not provided in the grid (they will be assumed to be zero)." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "with warnings.catch_warnings():\n", " warnings.simplefilter(\"ignore\")\n", " sim = cpr.Tracker(grid, source, detector, verbose=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[create_particles()]: ../../api/plasmapy.diagnostics.charged_particle_radiography.Tracker.rst#plasmapy.diagnostics.charged_particle_radiography.Tracker.create_particles\n", "\n", "[load_particles()]: ../../api/plasmapy.diagnostics.charged_particle_radiography.Tracker.rst#plasmapy.diagnostics.charged_particle_radiography.Tracker.load_particles\n", "\n", "Now, instead of using [create_particles()] to create the particle distribution, we will use the [load_particles()] function to use the particles we have created above." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "sim.load_particles(pos, vel, particle=particle)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now the particle radiograph simulation can be run as usual." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "tags": [] }, "outputs": [], "source": [ "sim.run();" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "nbsphinx-thumbnail": { "output-index": -1, "tooltip": "Proton Radiograph with source profile" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "size = np.array([[-1, 1], [-1, 1]]) * 1.5 * u.cm\n", "bins = [200, 200]\n", "hax, vax, intensity = cpr.synthetic_radiograph(sim, size=size, bins=bins)\n", "\n", "fig, ax = plt.subplots(figsize=(8, 8))\n", "plot = ax.pcolormesh(\n", " hax.to(u.cm).value, vax.to(u.cm).value, intensity.T, cmap=\"Blues_r\", shading=\"auto\",\n", ")\n", "cb = fig.colorbar(plot)\n", "cb.ax.set_ylabel(\"Intensity\", fontsize=14)\n", "ax.set_aspect(\"equal\")\n", "ax.set_xlabel(\"X (cm), Image plane\", fontsize=14)\n", "ax.set_ylabel(\"Z (cm), Image plane\", fontsize=14)\n", "ax.set_title(\"Synthetic Proton Radiograph\", fontsize=14);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[synthetic_radiograph()]: ../../api/plasmapy.diagnostics.charged_particle_radiography.synthetic_radiograph.rst#plasmapy.diagnostics.charged_particle_radiography.synthetic_radiograph\n", "\n", "Calling the [synthetic_radiograph()] function with the `ignore_grid` keyword will produce the synthetic radiograph corresponding to the source profile propagated freely through space (i.e. in the absence of any grid fields)." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "hax, vax, intensity = cpr.synthetic_radiograph(\n", " sim, size=size, bins=bins, ignore_grid=True\n", ")\n", "\n", "fig, ax = plt.subplots(figsize=(8, 8))\n", "plot = ax.pcolormesh(\n", " hax.to(u.cm).value, vax.to(u.cm).value, intensity.T, cmap=\"Blues_r\", shading=\"auto\",\n", ")\n", "cb = fig.colorbar(plot)\n", "cb.ax.set_ylabel(\"Intensity\", fontsize=14)\n", "ax.set_aspect(\"equal\")\n", "ax.set_xlabel(\"X (cm), Image plane\", fontsize=14)\n", "ax.set_ylabel(\"Z (cm), Image plane\", fontsize=14)\n", "ax.set_title(\"Source Profile\", fontsize=14);" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(6, 6))\n", "ax.plot(hax.to(u.cm).value, np.mean(intensity, axis=0))\n", "ax.set_xlabel(\"X (cm), Image plane\", fontsize=14)\n", "ax.set_ylabel(\"Mean intensity\", fontsize=14)\n", "ax.set_title(\"Mean source profile\", fontsize=14);" ] } ], "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": "3.7.10" }, "widgets": { "application/vnd.jupyter.widget-state+json": { "state": {}, "version_major": 2, "version_minor": 0 } } }, "nbformat": 4, "nbformat_minor": 4 }