{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "648706e9", "metadata": { "execution": { "iopub.execute_input": "2025-05-21T13:25:58.266429Z", "iopub.status.busy": "2025-05-21T13:25:58.266211Z", "iopub.status.idle": "2025-05-21T13:25:58.958812Z", "shell.execute_reply": "2025-05-21T13:25:58.958171Z" }, "nbsphinx": "hidden" }, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "id": "7dd3b088", "metadata": { "execution": { "iopub.execute_input": "2025-05-21T13:25:58.961017Z", "iopub.status.busy": "2025-05-21T13:25:58.960784Z", "iopub.status.idle": "2025-05-21T13:25:59.130755Z", "shell.execute_reply": "2025-05-21T13:25:59.130224Z" }, "nbsphinx": "hidden" }, "outputs": [ { "ename": "AttributeError", "evalue": "'ZMQInteractiveShell' object has no attribute 'magic'", "output_type": "error", "traceback": [ "\u001b[31m---------------------------------------------------------------------------\u001b[39m", "\u001b[31mAttributeError\u001b[39m Traceback (most recent call last)", "\u001b[36mFile \u001b[39m\u001b[32m~/work/gala/gala/docs/tutorials/nb_setup:1\u001b[39m\n\u001b[32m----> \u001b[39m\u001b[32m1\u001b[39m \u001b[43mget_ipython\u001b[49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\u001b[43m.\u001b[49m\u001b[43mmagic\u001b[49m(\u001b[33m'\u001b[39m\u001b[33mconfig InlineBackend.figure_format = \u001b[39m\u001b[33m\"\u001b[39m\u001b[33mretina\u001b[39m\u001b[33m\"\u001b[39m\u001b[33m'\u001b[39m) \u001b[38;5;66;03m# noqa\u001b[39;00m\n\u001b[32m 3\u001b[39m \u001b[38;5;28;01mimport\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34;01mmatplotlib\u001b[39;00m\u001b[34;01m.\u001b[39;00m\u001b[34;01mpyplot\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[38;5;28;01mas\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34;01mplt\u001b[39;00m\n\u001b[32m 5\u001b[39m plt.style.use(\u001b[33m\"\u001b[39m\u001b[33mdefault\u001b[39m\u001b[33m\"\u001b[39m)\n", "\u001b[31mAttributeError\u001b[39m: 'ZMQInteractiveShell' object has no attribute 'magic'" ] } ], "source": [ "%run nb_setup" ] }, { "cell_type": "markdown", "id": "0e826daf", "metadata": {}, "source": [ "# Compute an SCF representation of an arbitrary density distribution\n", "\n", "Basis function expansions are a useful tool for computing gravitational\n", "potentials and forces from an arbitrary density function that may not have an\n", "analytic solution to Poisson's equation. They are also useful for generating\n", "smoothed or compressed representations of gravitational potentials from\n", "discrete particle distributions. For astronomical density distributions, a\n", "useful expansion technique is the Self-Consistent Field (SCF) method, as\n", "initially developed by [Hernquist & Ostriker\n", "(1992)](http://dx.doi.org/10.1086/171025). In this method, using the notation\n", "of [Lowing et al. 2011](http://dx.doi.org/10.1111/j.1365-2966.2011.19222.x),\n", "the density and potential functions are expressed as:\n", "\n", "$$\n", "\\rho(r, \\phi, \\theta) = \\sum_{l=0}^{l_{\\rm max}} \\sum_{m=0}^{l} \\sum_{n=0}^{n_{\\rm max}}\n", " Y_{lm}(\\theta) \\, \\rho_{nl}(r) \\, \\left[S_{nlm}\\,\\cos(m\\phi) + T_{nlm}\\,\\sin(m\\phi) \\right] \\\\\n", "\\Phi(r, \\phi, \\theta) = \\sum_{l=0}^{l_{\\rm max}} \\sum_{m=0}^{l} \\sum_{n=0}^{n_{\\rm max}}\n", " Y_{lm}(\\theta) \\, \\Phi_{nl}(r) \\, \\left[S_{nlm}\\,\\cos(m\\phi) + T_{nlm}\\,\\sin(m\\phi) \\right]\n", "$$\n", "\n", "where $Y_{lm}(\\theta)$ are the usual spherical harmonics, $\\rho_{nlm}(r)$ and\n", "$\\Phi_{nlm}(r)$ are bi-orthogonal radial basis functions, and $S_{nlm}$ and\n", "$T_{nlm}$ are expansion coefficients, which need to be computed from a given\n", "density function. In this notebook, we'll estimate low-order expansion\n", "coefficients for an analytic density distribution (written as a Python\n", "function)." ] }, { "cell_type": "code", "execution_count": 3, "id": "018c5255", "metadata": { "execution": { "iopub.execute_input": "2025-05-21T13:25:59.132528Z", "iopub.status.busy": "2025-05-21T13:25:59.132334Z", "iopub.status.idle": "2025-05-21T13:25:59.901315Z", "shell.execute_reply": "2025-05-21T13:25:59.900754Z" } }, "outputs": [], "source": [ "# Some imports we'll need later:\n", "\n", "# Third-party\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "# Gala\n", "import gala.dynamics as gd\n", "import gala.potential as gp\n", "from gala.potential.scf import compute_coeffs\n" ] }, { "cell_type": "markdown", "id": "87cce5cd", "metadata": { "lines_to_next_cell": 2 }, "source": [ "## SCF representation of an analytic density distribution\n", "\n", "### Custom spherical density function\n", "\n", "For this example, we'll assume that we want a potential representation of the\n", "spherical density function:\n", "$$\n", "\\rho(r) = \\frac{1}{r^{1.8} \\, (1 + r)^{2.7}}\n", "$$\n", "\n", "Let's start by writing a density function that takes a single set of Cartesian\n", "coordinates (x, y, z) and returns the (scalar) value of the density at that\n", "location:" ] }, { "cell_type": "code", "execution_count": 4, "id": "5ffbe0aa", "metadata": { "execution": { "iopub.execute_input": "2025-05-21T13:25:59.903429Z", "iopub.status.busy": "2025-05-21T13:25:59.903156Z", "iopub.status.idle": "2025-05-21T13:25:59.906184Z", "shell.execute_reply": "2025-05-21T13:25:59.905724Z" } }, "outputs": [], "source": [ "def density_func(x, y, z):\n", " r = np.sqrt(x**2 + y**2 + z**2)\n", " return 1 / (r**1.8 * (1 + r) ** 2.7)" ] }, { "cell_type": "markdown", "id": "00e0bd1d", "metadata": {}, "source": [ "Let's visualize this density function. For comparison, let's also over-plot\n", "the Hernquist density distribution. The SCF expansion uses the Hernquist\n", "density for radial basis functions, so the similarity of the density we want\n", "to represent and the Hernquist function gives us a sense of how many radial\n", "terms we will need in the expansion:" ] }, { "cell_type": "code", "execution_count": 5, "id": "0d9cb694", "metadata": { "execution": { "iopub.execute_input": "2025-05-21T13:25:59.907793Z", "iopub.status.busy": "2025-05-21T13:25:59.907619Z", "iopub.status.idle": "2025-05-21T13:25:59.911087Z", "shell.execute_reply": "2025-05-21T13:25:59.910634Z" } }, "outputs": [], "source": [ "hern = gp.HernquistPotential(m=1, c=1)" ] }, { "cell_type": "code", "execution_count": 6, "id": "9b3f8e51", "metadata": { "execution": { "iopub.execute_input": "2025-05-21T13:25:59.912767Z", "iopub.status.busy": "2025-05-21T13:25:59.912417Z", "iopub.status.idle": "2025-05-21T13:26:00.432093Z", "shell.execute_reply": "2025-05-21T13:26:00.431586Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.logspace(-1, 1, 128)\n", "plt.plot(x, density_func(x, 0, 0), marker=\"\", label=\"custom density\")\n", "\n", "# need a 3D grid for the potentials in Gala\n", "xyz = np.zeros((3, len(x)))\n", "xyz[0] = x\n", "plt.plot(x, hern.density(xyz), marker=\"\", label=\"Hernquist\")\n", "\n", "plt.xscale(\"log\")\n", "plt.yscale(\"log\")\n", "\n", "plt.xlabel(\"$r$\")\n", "plt.ylabel(r\"$\\rho(r)$\")\n", "\n", "plt.legend(loc=\"best\")" ] }, { "cell_type": "markdown", "id": "eec4177c", "metadata": {}, "source": [ "These functions are not *too* different, implying that we probably don't need\n", "too many radial expansion terms in order to well represent the\n", "density/potential from this custom function. As an arbitrary number, let's\n", "choose to compute radial terms up to and including $n = 10$. In this case,\n", "because the density we want to represent is spherical, we don't need any $l,\n", "m$ terms, so we set `lmax=0`. We can also neglect the sin() terms of the\n", "expansion ($T_{nlm}$):" ] }, { "cell_type": "code", "execution_count": 7, "id": "7d317330", "metadata": { "execution": { "iopub.execute_input": "2025-05-21T13:26:00.434040Z", "iopub.status.busy": "2025-05-21T13:26:00.433673Z", "iopub.status.idle": "2025-05-21T13:26:06.433015Z", "shell.execute_reply": "2025-05-21T13:26:06.432423Z" } }, "outputs": [], "source": [ "(S, Serr), _ = compute_coeffs(\n", " density_func, nmax=10, lmax=0, M=1.0, r_s=1.0, S_only=True\n", ")" ] }, { "cell_type": "markdown", "id": "589f0ebe", "metadata": {}, "source": [ "The above variable `S` will contain the expansion coefficients, and the\n", "variable `Serr` will contain an estimate of the error in this coefficient\n", "value. Let's now construct an `SCFPotential` object with the coefficients we\n", "just computed:" ] }, { "cell_type": "code", "execution_count": 8, "id": "b4ee6351", "metadata": { "execution": { "iopub.execute_input": "2025-05-21T13:26:06.435220Z", "iopub.status.busy": "2025-05-21T13:26:06.434820Z", "iopub.status.idle": "2025-05-21T13:26:06.439221Z", "shell.execute_reply": "2025-05-21T13:26:06.438763Z" } }, "outputs": [ { "data": { "text/plain": [ "array([[[ 1.10328037e+01]],\n", "\n", " [[-2.15355027e+00]],\n", "\n", " [[ 5.89670966e-01]],\n", "\n", " [[-2.51335957e-01]],\n", "\n", " [[ 1.23222803e-01]],\n", "\n", " [[-6.99340663e-02]],\n", "\n", " [[ 4.25020670e-02]],\n", "\n", " [[-2.78007144e-02]],\n", "\n", " [[ 1.89401928e-02]],\n", "\n", " [[-1.34871472e-02]],\n", "\n", " [[ 9.86744880e-03]]])" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "S" ] }, { "cell_type": "code", "execution_count": 9, "id": "fbd828c9", "metadata": { "execution": { "iopub.execute_input": "2025-05-21T13:26:06.440940Z", "iopub.status.busy": "2025-05-21T13:26:06.440592Z", "iopub.status.idle": "2025-05-21T13:26:06.444151Z", "shell.execute_reply": "2025-05-21T13:26:06.443691Z" } }, "outputs": [], "source": [ "pot = gp.SCFPotential(m=1.0, r_s=1, Snlm=S, Tnlm=np.zeros_like(S))" ] }, { "cell_type": "markdown", "id": "7183dd4d", "metadata": {}, "source": [ "Now let's visualize the SCF estimated density with the true density:" ] }, { "cell_type": "code", "execution_count": 10, "id": "93b55181", "metadata": { "execution": { "iopub.execute_input": "2025-05-21T13:26:06.445913Z", "iopub.status.busy": "2025-05-21T13:26:06.445567Z", "iopub.status.idle": "2025-05-21T13:26:06.826958Z", "shell.execute_reply": "2025-05-21T13:26:06.826333Z" }, "lines_to_end_of_cell_marker": 2 }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.logspace(-1, 1, 128)\n", "plt.plot(x, density_func(x, 0, 0), marker=\"\", label=\"custom density\")\n", "\n", "# need a 3D grid for the potentials in Gala\n", "xyz = np.zeros((3, len(x)))\n", "xyz[0] = x\n", "plt.plot(x, pot.density(xyz), marker=\"\", label=\"SCF density\")\n", "\n", "plt.xscale(\"log\")\n", "plt.yscale(\"log\")\n", "\n", "plt.xlabel(\"$r$\")\n", "plt.ylabel(r\"$\\rho(r)$\")\n", "\n", "plt.legend(loc=\"best\")" ] }, { "cell_type": "markdown", "id": "bf70dc85", "metadata": {}, "source": [ "This does a pretty good job of capturing the radial fall-off of our custom\n", "density function, but you may want to iterate a bit to satisfy your own\n", "constraints. For example, you may want the density to be represented with a\n", "less than 1% deviation over some range of radii, or whatever.\n", "\n", "As a second example, let's now try a custom axisymmetric density distribution:" ] }, { "cell_type": "markdown", "id": "e5b290bd", "metadata": { "lines_to_next_cell": 2 }, "source": [ "### Custom axisymmetric density function\n", "\n", "For this example, we'll assume that we want a potential representation of the\n", "flattened Hernquist density function:\n", "$$\n", "\\rho(R, z) = \\frac{1}{r \\, (1 + r)^{3}}\\\\\n", "r^2 = R^2 + \\frac{z^2}{q^2}\n", "$$\n", "\n", "where $q$ is the flattening, which we'll set to $q=0.6$.\n", "\n", "Let's again start by writing a density function that takes a single set of\n", "Cartesian coordinates (x, y, z) and returns the (scalar) value of the density\n", "at that location:" ] }, { "cell_type": "code", "execution_count": 11, "id": "9061305c", "metadata": { "execution": { "iopub.execute_input": "2025-05-21T13:26:06.828961Z", "iopub.status.busy": "2025-05-21T13:26:06.828587Z", "iopub.status.idle": "2025-05-21T13:26:06.831491Z", "shell.execute_reply": "2025-05-21T13:26:06.831031Z" } }, "outputs": [], "source": [ "def density_func_flat(x, y, z, q):\n", " r = np.sqrt(x**2 + y**2 + (z / q) ** 2)\n", " return 1 / (r * (1 + r) ** 3) / (2 * np.pi)" ] }, { "cell_type": "markdown", "id": "498f9e52", "metadata": {}, "source": [ "Let's compute the density along a diagonal line for a few different\n", "flattenings and again compare to the non-flattened Hernquist profile:" ] }, { "cell_type": "code", "execution_count": 12, "id": "45cf820d", "metadata": { "execution": { "iopub.execute_input": "2025-05-21T13:26:06.833209Z", "iopub.status.busy": "2025-05-21T13:26:06.832860Z", "iopub.status.idle": "2025-05-21T13:26:07.239023Z", "shell.execute_reply": "2025-05-21T13:26:07.238498Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.logspace(-1, 1, 128)\n", "xyz = np.zeros((3, len(x)))\n", "xyz[0] = x\n", "xyz[2] = x\n", "\n", "for q in np.arange(0.6, 1 + 1e-3, 0.2):\n", " plt.plot(\n", " x,\n", " density_func_flat(xyz[0], 0.0, xyz[2], q),\n", " marker=\"\",\n", " label=f\"custom density: q={q}\",\n", " )\n", "\n", "plt.plot(x, hern.density(xyz), marker=\"\", ls=\"--\", label=\"Hernquist\")\n", "\n", "plt.xscale(\"log\")\n", "plt.yscale(\"log\")\n", "\n", "plt.xlabel(\"$r$\")\n", "plt.ylabel(r\"$\\rho(r)$\")\n", "\n", "plt.legend(loc=\"best\")" ] }, { "cell_type": "markdown", "id": "e99929e5", "metadata": {}, "source": [ "Because this is an axisymmetric density distribution, we need to also compute\n", "$l$ terms in the expansion, so we set `lmax=6`, but we can skip the $m$ terms\n", "using `skip_m=True`. Because this computes more coefficients, we might want to\n", "see the progress in real time - if you install the Python package `tqdm` and\n", "pass `progress=True`, it will also display a progress bar:" ] }, { "cell_type": "code", "execution_count": 13, "id": "786fcb03", "metadata": { "execution": { "iopub.execute_input": "2025-05-21T13:26:07.240784Z", "iopub.status.busy": "2025-05-21T13:26:07.240607Z", "iopub.status.idle": "2025-05-21T13:26:09.475579Z", "shell.execute_reply": "2025-05-21T13:26:09.475089Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "\r", " 0%| | 0/35 [00:00" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.logspace(-1, 1, 128)\n", "xyz = np.zeros((3, len(x)))\n", "xyz[0] = x\n", "xyz[2] = x\n", "\n", "plt.plot(\n", " x,\n", " density_func_flat(xyz[0], xyz[1], xyz[2], q),\n", " marker=\"\",\n", " label=f\"true density q={q}\",\n", ")\n", "\n", "plt.plot(x, pot_flat.density(xyz), marker=\"\", ls=\"--\", label=\"SCF density\")\n", "\n", "plt.xscale(\"log\")\n", "plt.yscale(\"log\")\n", "\n", "plt.xlabel(\"$r$\")\n", "plt.ylabel(r\"$\\rho(r)$\")\n", "\n", "plt.legend(loc=\"best\")" ] }, { "cell_type": "markdown", "id": "2852f6eb", "metadata": {}, "source": [ "The SCF potential object acts like any other `gala.potential` object, meaning\n", "we can, e.g., plot density or potential contours:" ] }, { "cell_type": "code", "execution_count": 16, "id": "644aab00", "metadata": { "execution": { "iopub.execute_input": "2025-05-21T13:26:09.941185Z", "iopub.status.busy": "2025-05-21T13:26:09.940998Z", "iopub.status.idle": "2025-05-21T13:26:10.197752Z", "shell.execute_reply": "2025-05-21T13:26:10.197232Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "grid = np.linspace(-8, 8, 128)\n", "\n", "fig, axes = plt.subplots(1, 2, figsize=(10, 5), sharex=True, sharey=True)\n", "_ = pot_flat.plot_contours((grid, grid, 0), ax=axes[0])\n", "axes[0].set_xlabel(\"$x$\")\n", "axes[0].set_ylabel(\"$y$\")\n", "\n", "_ = pot_flat.plot_contours((grid, 0, grid), ax=axes[1])\n", "axes[1].set_xlabel(\"$x$\")\n", "axes[1].set_ylabel(\"$z$\")\n", "\n", "for ax in axes:\n", " ax.set_aspect(\"equal\")" ] }, { "cell_type": "markdown", "id": "e4474a5e", "metadata": {}, "source": [ "And numerically integrate orbits by passing in initial conditions and\n", "integration parameters:" ] }, { "cell_type": "code", "execution_count": 17, "id": "48982e73", "metadata": { "execution": { "iopub.execute_input": "2025-05-21T13:26:10.199572Z", "iopub.status.busy": "2025-05-21T13:26:10.199369Z", "iopub.status.idle": "2025-05-21T13:26:10.218984Z", "shell.execute_reply": "2025-05-21T13:26:10.218526Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING: AstropyDeprecationWarning: The get_name method is deprecated and may be removed in a future version.\n", " Use name instead. [gala.dynamics.core]\n" ] } ], "source": [ "w0 = gd.PhaseSpacePosition(pos=[3.5, 0, 1], vel=[0, 0.4, 0.05])" ] }, { "cell_type": "code", "execution_count": 18, "id": "f864ae83", "metadata": { "execution": { "iopub.execute_input": "2025-05-21T13:26:10.220883Z", "iopub.status.busy": "2025-05-21T13:26:10.220389Z", "iopub.status.idle": "2025-05-21T13:26:10.721123Z", "shell.execute_reply": "2025-05-21T13:26:10.720499Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING: AstropyDeprecationWarning: The get_name method is deprecated and may be removed in a future version.\n", " Use name instead. [gala.dynamics.orbit]\n", "Ignoring fixed y limits to fulfill fixed data aspect with adjustable data limits.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "Ignoring fixed y limits to fulfill fixed data aspect with adjustable data limits.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "Ignoring fixed y limits to fulfill fixed data aspect with adjustable data limits.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "Ignoring fixed y limits to fulfill fixed data aspect with adjustable data limits.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "Ignoring fixed y limits to fulfill fixed data aspect with adjustable data limits.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "Ignoring fixed y limits to fulfill fixed data aspect with adjustable data limits.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "Ignoring fixed y limits to fulfill fixed data aspect with adjustable data limits.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "Ignoring fixed y limits to fulfill fixed data aspect with adjustable data limits.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "Ignoring fixed y limits to fulfill fixed data aspect with adjustable data limits.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "Ignoring fixed x limits to fulfill fixed data aspect with adjustable data limits.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "Ignoring fixed x limits to fulfill fixed data aspect with adjustable data limits.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "Ignoring fixed x limits to fulfill fixed data aspect with adjustable data limits.\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABLsAAAGbCAYAAAAskpJqAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjMsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvZiW1igAAAAlwSFlzAAAPYQAAD2EBqD+naQABAABJREFUeJzs3XV4VNfWwOHf+MTdjShxwd2tpVCgLRXqLXX3fnV3dzdaarSlRnF3lxDiIe5uk5Hz/THJkGESpLdNgdnv8/ThZuacM2dPkr3vrKy1tkySJAlBEARBEARBEARBEARBOAPI/+sbEARBEARBEARBEARBEIR/igh2CYIgCIIgCIIgCIIgCGcMEewSBEEQBEEQBEEQBEEQzhgi2CUIgiAIgiAIgiAIgiCcMUSwSxAEQRAEQRAEQRAEQThjiGCXIAiCIAiCIAiCIAiCcMYQwS5BEARBEARBEARBEAThjKH8r2+gr5lMJkpLS3FxcUEmk/3XtyMIgnBakySJpqYmAgMDkcvP3L+fiLVDEAThnyXWD0EQBOHvONH1w+6CXaWlpYSEhPzXtyEIgnBGKSoqIjg4+L++jX+NWDsEQRD+HWL9EARBEP6O460fdhfscnFxAcxvjKur6398N4IgCKe3xsZGQkJCLHPrmUqsHYIgCP8ssX4IgiAIf8eJrh92F+zqSh92dXUVC44gCMI/5EwvzRBrhyAIwr9DrB+CIAjC33G89ePMLZAXBEEQBEEQBEEQBEEQ7I4IdgmCIAiCIAiCIAiCIAhnDBHsEgRBEARBEARBEARBEM4YItglCIIgCIIgCIIgCIIgnDFEsEsQBEEQBEEQBEEQBEE4Y4hglyAIgiAIgiAIgiAIgnDGEMEuQRAEQRAEQRAEQRAE4Ywhgl2CIAiCIAiCIAiCIAjCGUMEuwRBEARBEARBEARBEIQzhgh2CYIgCIIgCIIgCIIgCGcMEewSBEEQBEEQBEEQBEEQzhgi2CUIgiAIgiAIgiAIgiCcMZT/9Q0IgnBiJEmivlVPVbOOupYO6lr11Ld20NRuoMNoQmcwoTeaMBhNKORy1AoZSoUclUKOi1aJu6MKD0c1bg4qfF00eDtrkMtl//WwBEEQBEEQBEEQBOEfJYJdgnCKaWjTk1XRRGZ5E9kVTRTVtVFc10pxXRutHcZ/7HXUCjkB7lqC3B0I9XQk2s+F/n4uxPg54+OiQSYTgTBBEARBEARBEATh9COCXYLwD+gwmKhu1lHdrKOmuYOWDgOtHUbaOoy0dhgxmkzUt+qpaNJR39rR+ZhEW4eRzIqmk349d0cV4d5OeDqqcdEq0SgVqJXmLC6VQobBJGEwmugwSnQYTDS166lvM2eC1bXqqWnW0WE0cbimlcM1rWzKrbG6vqeTmtQQd9JC3EkL9SAlxA0XreqfersEQRAEQRAEQRAE4V8jgl2CcIKa2vUcKm8ip7KZwzWtFNa2UFDdSkl9Gw1t+j69l/pWPZnlTQS6OxDk7kCIp5JIHydi/FyI8nPGx/nYmVl6o4mKxnZK6tooqW+joLqFzIomsiuaKahpobalg1WHKll1qBIAuQxSQtwZHeXN6BgfUkPcUSlEyz9BEARBEARBEATh1COCXYLQg3a9kX3FDWwvqCW9tIH00kYO17T+17dlpbXDSE5lMzmVzTbPuTuqSApyIzXEnZRgd1JD3fF21lieVynkBHs4EuzhaHNuu97IofImdhfWsbuwnl2FdRTXtbG7sJ7dhfW8uSoHZ42SCbG+nJXoz7j+vjioFf/qWAVBEARBEARBEAThRIlglyBgznTaebiOdVlVbMuvZV9xAx1G00lfR6WQ0c/LCT9XLTmVzZQ3tvd4nKeTmoFhHgwI9SDATYtMBpJk7tdV3ayz/Fve0E5Fo47alg7a9Mfu16WQy/BwVFPToqO+Vc/67GrWZ1dbng/3dmJEpBcjIr0ZHumFp5O6x+toVQpSQ9xJDXHnqpHmx0rr29iQXc267Co25FRT36rn172l/Lq3FAeVgvGxPsxKDWJ8rK/I+BIEQRAEQRAEQRD+UzJJkqT/+ib6UmNjI25ubjQ0NODq6vpf347wH6pt6WDFwQpWZ1ayIbuaJp3B6nlvZw2+LhqqmnVUNelszpfJoL+fCynB7sQFuOCoUbK7sJ6F2wr7agg21Ao5qaHuhHk64uOiobJJx56ienKrmjn6Nz0xyJXJcf5MjvcjLsDlhBvSG00Se4rq+etAGUsOlFNc12Z5zttZzazUIC4YFEJ/f5d/cmjCKcpe5lR7GacgCEJfsZd51V7GKQiC0FdOdF4VwS7BrjS06lmaXs7v+8vYmFON0XTkx9/TSc3YGB9CPR0prW9jb3E9WRXWJYJRvs4kB7vhrFHioFJQ1tDOptwaqpttg2E9cdUqzeeqFTiqzf+qFNZBpq7G9a2d/7V0GGho09sEq05EsIcDlw0LY3ysL/nVLaw4WMHyjArqW217jE2K8+OiwSEMjfDEUa1EIT9+8EuSJA6UNPLbvlJ+2lVi9T4MDffk6lHhTIrzO6FrCacne5lT7WWcgiAIfcVe5lV7GacgCEJfEcGuXogFx/4YTRIbcqr5bnshyw9WoDce+ZGPD3BlSoIfg/t5kl/dwq97StlWUPuv3IezRklcgAvJwe6khLgT7uWEr6sGH2cN8uMEgwxGE7WtHVQ3dZjLGxvbKaxppbC2lfzqFvaXNPwr9xzk7oC3sxpPJzVezprOZviOhHo6EuLpgJ+L1nLveqOJtZlV/LCziJUZlRg6A4khng5cOSKci4eE4KgWldNnGnuZU+1lnIIgCH3FXuZVexmnIAhCXznReVV88hTOWJWN7XyzrZAfdhRTUn+k1C7W34XpSQFMTw6gpqWDB3/az+srsv/1+2nWGdheUMf2grpejxkV5c2EWF8SAl2J9XfFzVEFgFIhx9tJQ3uHiaK6Vkrr28ipbCazoomi2r/fOF+lkCGTyegw9NyfrKS+zeq9O5qjWkG0nwuxfi7093chLsCVV+em0tiu56vNh/lmWyFFtW089ftB3lmdw/zREVw+PAwnjZh6BEEQBEEQBEEQhH+HyOwSzjgHSxv5ZEM+v+4tsWRxuWqVnJsaREKgKyX1bby1Kucfez0XrZIx0T7I5TI6DEZ0BhN6o4lmnZGy+jYqe+j39U9TK+WEejoS5ulISGe/rq6MseK6VtZmVbG7sL7X81++IIXJcX4oFDJ+3VPKwm2FNtliMhmMi/Ghw2iiqLaN0vo2S/ZWd3IZxPq7MiDMnfgANyoa2/llT4llN0sPRxXzx0Rw1YhwsYvjGcBe5lR7GacgCEJfsZd51V7GKQiC0FdEGWMvxIJz5tqcW8Nry7P+tTLEo90zJYZhEV6EdgaXTrTBO0CLzkBJfRv51S2sy6piZUZlrzs39mZIuCdXj+xHaogHvi4amtoNlDe2U9HYTnljO1VNOhrb9DS2G2hq15ufb2gns6LpZIfaI0e1gtaOY+8Q2SXCx4m6lg7quvUK83fVcs/U/sxJCzpuGadw6rKXOdVexikIgtBX7GVetZdxCoIg9BVRxiic8aqbdewvaeCjdXlsyq3p89d/eVmW5X87qBRE+zkT5+9KbIC5nC+uWxni0Zw0SmL8XAh0d6DDYKK+Tc/6rCoa2w09Ht+Tbfm1bMvvm8BeT0400AWQV9Vi81h5Yzv3/LCXTzfk88g58QyP9Ponb08QBEEQBEEQBEGwUyLYJZw2impb2Zxbw+a8Grbl1x6zl9SJ8nbWcG5qILPTzCWOMpmMmmYdL/6VyXc7iizHJQS6Mm9oGDIZVDfpKG1o43Bng/jS+jba9Eb2FTewr9i69C/a15mBYR4MDPNgUD9P+nk50thmYGl6OX+ll7Mhu5oO45F+Wa5aJSOjvBkV7c3oKB+MksSazEo+2ZBPcd3/Pt6eaJRydL307Pq7nNQKAt0dLNlmx3KwrJGLP9pCXIArX10zBG9nzT96L4IgCIIgCIIgCIJ9EcEu4ZSlMxjZlFvDioMVrMms+keCWwBKuYypCf5cMCiYUVHeKBVyAEwmiYXbCnnhr0M0tJnL7aYl+HPvtP5E+jj3ej290URRbSuZ5U1klDWS0flvcV0b2ZXNZFc28+32ol7PD/d2YmqCP5Pj/XDWKNmaX8Om3BpeX5FN1T/Q70shlzF3UDD9/VyI9nMh1NORADetZdxdOgwmFu0q5o0V2T0GqFy1SibH+zM1wY+siiarzLajtXQYya5sJi7AlfGxvgR7OODroqGkvo3vtxdR2mB7/YyyRgY9vQKAVy5IYVx/H7xE4EsQBEEQBEEQBEE4SaJnl3BKaeswsiKjgj/3l7Euq4qWkyiVOx5/Vy2XDA3losEh+LpqrZ47UNLAQ78cYG9RPWDesfGpWYkM7uf5t1+vtqWDH3cW8eyfh3o9RiGXkRbijoNaQUFNC0W11gE9tVJOarA7aaHuxAW40mE0kVXexLrsKrIqmk/4XiK8nZidFsTcwSH4HTX2o7XrjSzYcph31+RS29Jh87xSLmN2WhA3jItEBryxMpvFe0qtjvF2VlPd3GFz3pBwTybF+TEpzg83BxU/7Czi6T8yer2XpCA3piX6MyM5kFAvxxMer9B37GVOtZdxCoIg9BV7mVftZZyCIAh9RTSo74VYcE49RpPElrwaft5dwl8HymnWHelb5eeqYVKcH/Vtev7YV9brNf7v7FjqWvW8tybX5rmEQFduGBvJWYn+NtlMOoOR11dk88HaXEwSOGuU3DU5hsuHh9kce6IMRhMrMipZsOUwG3KqLY+7apUEujvgrFGy43Bdr+f7uWqYNzSMoeGexAe6sr2glmXpFazIqLAKIMlkkBjoZi57jPIm2s+ZlRmV/LiziF297LyokMuYEu/HpcPCGBHpdcym+k3tej5an88Ha3N7LHOUyeCsRH9umxiNDBkvLT3EioxKANwcVFw+PIxIH2e2FdSyObeG/Grrvl0xfs5MTwrk3NRAgj0cWH6wghu/3tXr/SQHu3FOcgAzU4Lwdzt2wE7oO/Yyp9rLOAVBEPqKvcyr9jJOQRCEviKCXb0QC86po6ZZx3c7ivh6S6FViWKwhwPnpgYyNcGf1g4jF324pcfzpyX4c8/UGPRGiSs+3UblUSV/o6K8uWFsJCOjeg7q7Cuu554f9loypGakBPLI9DibrK8T1dSuZ+G2Qj7bWEBZZ5meTAYTY325cHAoJkniz/1lrDhY8bcz1ly1SibG+TExzpeRkd54OKl7PC6vylw6+e22wl6b3kd4O3HlyH5cMDAEB7Wi19csqm3l6T8OsjS9osfnZTKYnRrEnZNjOFzTylO/H7Ts+Bjr78Kzc5IYEOrB4ZoWVmRUsuJgBdsKajGajkw9KSHunJtiDnxlVjRxyUdbe70fuQzG9/floiGhjO/v87eDksI/w17mVHsZpyAIQl+xl3nVXsYpCILQV0Swqxdiwfnv7S9u4NON+fyxr8zSnN1Vq+ScFHOj+IGhHhTVtTL2pTU9nv/kuQmcNyAYlULOy8sy+XBdntXzIyK9uGdqfwaEevR4vt5o4s2V2by7JhejScLbWc0zs5OYmuD/t8ZT1aTj8035fLX5sCWw5Omk5sLBIYyO9mZTTg0/7CyiovFIMC7I3YFzUgKYkRxIQqArjW0GPt9UwGsreu6DFe7txBMzExge6YXqJII7rR0GftldyhebCiwBqJ4MDffkvIHBqBVyWjoMtOgM6I0SkiRhksAkSazPrmbnMTLSAOYNDeX2idEsz6jg5aWZ1LXqkcng8mFh3DO1Py5a8+6UDa16lmdU8OveUjZkV9EV91Ir5ExN9OeiwSFszavhzVU5x3w9P1cNFw0O5bLhYaKx/X/EXuZUexmnIAhCX7GXedVexikIgtBXRLCrF2LB+W9IksSWvFreXZPD+uwjpX3JwW5cNiyMGSmBaFUKSurbuOWbXezuoQzvo8sHMTHWF7lcRlZFE1NeW2f1fIinAy+cl8yISO9e76O4rpXbFu62lPnNSAnkiZkJePaSIXUsFY3tvLs6h2+3F1nK/CJ8nJg/OgInjZIfdhRZjdXTSc3MlEBmpgaSFuKOTCbDaJJYl1XFgi2HWZ1ZiekYv40RPk5cNaIfcwYE46Q5/t4SBqOJ4ro2CmpaKKxt5ZuthRwq7z3g9U8bFOZhU675yRWDmBjnZ/VYVZOOP/aV8tPuEqvdLCN8nBgY6sGqQ5XU9NA7rDu1Us55A4K5dnT4MTcTEP559jKn2ss4BUEQ+oq9zKv2Mk5BEIS+IoJdvRALTt9bn13Fa8uzLAEmhVzGjOQArhoZTkqIO2AuAXx+ySG+3lpoc/4384cyPMJciihJEo8sPsCCLdbHvX/pQKYm+B2zB9VfB8q478d9NLYbcNEqeW5OEuckB570eGpbOnh/bS5fbCqwBLlSQ9y5ckQ/6lo7+HxTAYdrWi3Hj4725qLBoUyO90OtNGdlNbTp+XZbIQu2HrZqSj8i0osLB4cwOd4PB5WC9NJGvt9RxM+7Smjq7GXmolVy8ZBQLh8eRrCHuWl7s87A/uIGMsoaOVTeSEZZE1kVTT322joVnJXoz5gYH1KC3Ynxc7aUIh4oaeDrrYX8uqfEUuqpkMusSh6PZ1qCP3dOjqG/v8u/cu+CNXuZU+1lnIIgCH3FXuZVexmnIAhCXxHBrl6IBafv7Cuu54W/DrExpwYwZ9/MHRTM9WMiCfE0B2mMJonvthfxfz/vtzn/4elxXDs6wvJ1RWM7Q59daXXMVSP7cf+0WFQKOXWtHdQ0d1DTrKOuVU9rh4E2vZHGNj0vL7MuD5yZYm6KrpTLcNQocVQrcFSb/3XVqvByVuPlrMbTUW0JxDTrDHy4Lo9PN+RbmugPCvPgypH9OFjayNdbC2lo0wPmBu2XDA3l4sGhVrsIlje08+nGfL7ZWmi5hqtWyfkDQ5g3LLTXrKRmnYEfdxTx+aYCCroF0gAc1Qra9cYes8K0Kjm+LlqadQYa2vQnFTTqzkmtQK2Uo1TIUcllKBQyTCaseq39ry4YGMy5qUEMDPPAKEn8vKuYTzbk24y3J24OKgLctGRWNCFJ5j5i05MCuGNSDFG+ItPr32Qvc6q9jFMQBKGv2Mu8ai/jFARB6CsnOq8evxZKEE5ScV0rzy05ZNk9UaWQMW9oGDeNj8TX5Ujz933F9cx8e6PN+f6uWtbcOw6t6kjT9I/X5/H0HxlWxw3u58Guw3WMfH4Vta0dnEzY9te9pSd0nExmDqTUt+ptnrt1QhQ6g4n7ftxHa2cWUpiXI9eMCuf8gcE4qo/8euVUNvPB2lx+2VOC3mi+0Rg/Z64dFcGMlMBjNogHc1DQz1XLsAgvm+BPa7dm95Pi/HB1UNLQqkdnMFHT0kFWRVOPQS6ZDEI8HCmsPXYwycNRxf3TYrlgUAgKuW3m3K7COm5buJviOnPg66qR/Zia4M9ji9OP2SfsaD/sLOaHncWWr89O8ueNi9IorW/jw/V5PZa2jonxYVNONQ1tetr1RmYkB9KuN7LsYAW/7yvjz/1lzB0Uwt1T+uPjInp6CYIgCIIgCIIg2AOR2SX8Y3QGIx+ty+Pt1Tm0601Wu/R1ZXIBtOgMPPFbOt/vKLa5xmsXpjArNYiCmlZ2Ha5jS16NVQDkWGQy8HBU4+lkzsjKq26huvlIU/hwbyfG9/cFQML8Y28wSrR2GGntMFj+bWwzUNOio6bl5AJoA0LduXVCNGmh7rg7mnuAFda08vrKLH7ZXWLJvBoS7skNYyMYF2PuP9abvKpmlhwoZ2VGBXuK6q0yt1QKmSVodiJ8XDSkBLsTF+BClK8zUb7ORPo4WwKKJpPEb/tKeWHJIUo7d5I8+nXiA1x5dEY8wyK8bK7f2K7n/37az++dAc4p8X68MjeFvKoW7vtxnyXoNSnOjwfOiuWxXw9YMv5OhJNawfTkAHKrWmya5N89OYaNudVsyasFICHQlWtHh7NkfznLDpp3kHTWKLllQhRXjeyHRnnswKJwcuxlTrWXcQqCIPQVe5lX7WWcgiAIfeWMLWMsKSnh/vvvZ8mSJbS2thIVFcVnn33GoEGDTuh8seD8O9ZlVfHo4gOWrKMh4Z48PiOB+EDr93hNZiVXfra9x2ucNyCY2hYdu4vqe8ykAnPwZUy0DyGejgR7OFj+9XPV4u6gspQcLt5Twn0/7kNnMBHh48RHlw86qcblNc06nvjtoFUGWICblrJugaBj0arktOut+2VNivPjpvGRve4SKUkSmRVNLNlfzl8Hym2yoiJ9nBgT48OYaB/83bSsy6piaXq5pRfa0S4cFMLY/j6khrgT4KY9Zj+zLq0dBt5alcPH6/PQGyUUchluDira9UZLBtn0pAAemxGPr6vW6lxJMpekPro4nQ6jiShfZz68bCDBHo68uyaHd1bnoDdKeDqpefG8ZBra9Dz8ywHa9Eb8XDU8PycZlULOz7tLWLTrxAKcXUZFeTM7LYin/jhIfaselULGrROiGRLuybN/Zlga34d6OvLM7ERGR/uc1PWF3p1Oc+r/sn6cTuMUBEE4HZxO86pYPwRBEE4dZ2Swq66ujrS0NMaPH8+NN96Ij48P2dnZREZGEhkZeULXEAvOP6uxXc/Tvx+0ZGn5uGh4eHocM1MCrYIrrR0GHvxpP4v3nFj5YE/2Pz4FF63qmMdIksS7a3J5aWkmABNifXn9olRcj3Ne9/MX7Srh6c6giUwGFw0OITnYnQ/X5ZFf3QJAfz8X7pgUTXygK5nlTWSWN3GooomteTVUN/e8c+DZSf6MjPJmVJQ3oZ6OlvensqmdxbtL+XFnsVWASymXMSLKm6kJfozr70urzsBve0tZml5hEwiL9XfB3VFlyW4Ccy+wWyZEcfnwflYloScip7KJR35JZ3OeOfsqyN2BYA8HthfUYpLMTfIfOCuWiweH2mSn7S6s44YFO6lo1OGiVfLGRalMiPUjs7yJO7/bw8GyRgAuGxbG3EEh3Pn9HnIqm1HIZTw+I57LhvcDzJmCm3NrePGvTMs5x/PWxWn8trfUktGVGuLOmxelsb2glhf+OkRlkznTb86AIB6ZHo/H39iFU7B2usyp/+v6cbqMUxAE4XRxusyrYv0QBEE4tZyRwa4HHniAjRs3sn79+r99DbHg/HPWZlXxwKJ9lmynK0f04+4pMTYBqd2Fdcx+d9Mxr+XmoGJEpBcRPk68szrX6rlHz4nn6lHhx70fo0nisV+P7NQ4NcGP68ZE0timp661g7pWPc3tBnQGIzqDiQ6DCZ3BiNEECjkU17WxKde6tC4l2I29nVlBXboCMt37V3U12n9lWSY1LUeCXQ4qBQq5zNKMvoufqwajSaKxzUCH8UgGmFopZ0y0D2cl+jMpzg+TJPHr3lIW7Sq2ZCeBORA2LMKLKQl+TI73I8DNATAH69ZlV/PcnxkcKjcHxMK9nXhiZgJjYk4um0mSJH7ZU8Ljvx6koU2PWiFnWqI/uVXNpJeag0+Dwjx4bk4S0X7WOx9WNrVz04Jd7Dhch0wGT8xM4PLh/dAZjLy8NJOP1ucD5r5lL56fwmcb8y2B0EuHhfLYjARUnVl6XUrq23ji13RLIKs35w8MJjHQlVeXZ1l23nzhvGTGxPjw8tJMvthcgCSBp5OaJ89N+Fs7cgpHnC5z6v+6fpwu4xQEQThdnC7zqlg/BEEQTi1nZLArPj6eqVOnUlxczNq1awkKCuKmm25i/vz5vZ6j0+nQ6Y70bWpsbCQkJEQsOP8DncHIc38e4vNNBYC5KfuL5yUz9KheTpIk8eBP+/l2e1Gv17pvWn9GRXmTEOjGzsN1zP1gs9Xz31w7lBFR3j2eW9vSQXZFE1mVzWSUNfLN1sL/bWAnwcNRhZ+rFn83LWX17VaZVhE+TjxyTrylP5jeaGJfcQMbc6r5eXeJJTvsaCOjvHj5ghT8XLSsza7i222FrDpUaemZpZTLGNffh7OTApgY64ebY+/ZakaTxM+7S3ixWzbT9OQAHpkej7+bttfzelLR2M4Di/axOrMKMGdLpYW68932Ilo7jKgVcu6YHM35A4NpbDPQrDOgN5po0Rn4v5/2W3qARfg48fD0OFQKOZtza3h3zZGg5qtzU6hs0vHCX4eQJBge4cW78wb0mnlV1tDG3d/vtQlOdnfnpBjWZFVaGttfOiyUR86JJ720kQcW7SOrohmAOWlBPHFuwnGzBoWenS7/J/5k1w+xdgiCIPy7xPohCIIg/B1nZLBLqzV/SL/rrru44IIL2L59O7fffjvvv/8+V1xxRY/nPP744zzxxBM2j4sF5+/Jr27h1oW7OFBizuy5ckQ/7pvW32rnwRadga+2HOb5JYd6vc77lw5kWqI/YA6KfbIh32a3xSW3jybU05GiulZ2Hq5j+cEK1nQGXP5N7o62uy96O6tx0iipaGy36cV1NLVCTlyAC0nBbiQHuZMY5EZTu54FWwtZsr8MQw87Ix5LQqAr5w0IZmZqIN7OJ7ejYFO7nteWZ/P5pnxMkrnR+52TY7hyRD9Lf7PjadEZyK9u4fUVWazIqDyp1/9fXTYsjGERXkT6OhHu7dRjc/lVhyq4+vMdvV7jvAHBlh5gA8M8eP/Sgbg5qHhrVTbvrM7BJEGwhwOvX5jKoH6e/9pYzlSny4eVk10/xNohCILw7xLrhyAIgvB3nJHBLrVazaBBg9i06UhJ3G233cb27dvZvHlzj+eIv678c37bW8oDi/bR0mHEw1HFq3NTGR/ra3k+p7KJBVsKLRlfPfFz1fDF1UOI9Te/9x0GEw//sr/HnRlPBWqlnFvHRxHj70J/PxdCPB1patfz5socPt2Yb3Wsp5Oaxjb9CQWzXjwvmdkDgpDLZPyyu4S7f9jb43HDIjz5v7PjSA52/5/GkV7awCO/HLA0s08NceflC1KI8j3StF9vNHGorImM8kZyKpvNWXMVzZTUt53064V7O6FWyFEpZagVcpsm+kHuDsjlUN+ip+moEs/eyGXmBvNRvs7E+LmQHOxOSogb/q7m5vstOgMJjy3t8VxnjRKZDJraDQS4afngsoEkB7uzo6CWO77bQ3FdG3IZ3D8tluvGRJxQM3/B7HT5sHKy64dYOwRBEP5dYv0QBEEQ/o4TXT+UvT5zCgoICCA+Pt7qsbi4OBYtWtTrORqNBo3m5LJhBGtGk8TLyzJ5r7PsbEi4J29elIa/mxZJklifXc0H63LZmNN7SRmYAyBfXTMER7WSZenlrMioOGWDXF06DCZeWZ7V6/NyGSy6cQRpnTss6o0mCqpbeH1FNn/sL+v1vP/7eT9P/XGQpnbbQI9KIUMpl9OmN7Ilr5aZb28kKciNeUNDmZkaaJVFd6ISAt348YYRfLejiGf/yGBPUT2TXl1LUpAbA0Ld2V/SwIHSRjoMPWeteTmpCfZ0JMhdi6+Llm+2FVqOddEoeXZOEh+vz7P0NxsQ6sHTsxJxUB/JxFqfXcWNC3bRrDMQ6K7l0ysH46JVYTJJfL+jiAd+2m85dnpyAH/ss37/TBIU1LRSUNNqlWHm46IhJdiNQf08WXzzSH7bW8rHG6wDkd17ppU1tHPB+5t5dW4q05MDWHL7aB5dnM7Pu0t4bskh9hTV89IFKThrTqvpUTiOk10/xNohCIIggFg/BEEQTlen1ae5kSNHkpmZafVYVlYWYWFh/9Ednfma2vXc/u0eVh0yBxduGBvJPVNikMlk/LGvjPfW5lhKGo/Wz8uR2pYOGjsDOv28HLn8023kVfXcs+qfopTL0CjlaFUK5HIZJpOEwSRhNEk2jeL/VyYJ5n28leRgN1JDPKhv7WBDTjXFdeZsKEe1gkuGhDIp3o+i2la25NWyaFcxBpNkE+jyddHw6Ix4xsb44KBSsKGzx9eSA+XsL2nggZ/288yfGZw3IJh5Q0NtmsIfT2WTDrVCTlKwm6XX1f6SBvaXHGl87+agIjHIlWhfF6L9nIn2dSHK1xnPo3pnPT4zgZUZFdz9w17qW/U89ms6b1+Sxo6COl5fkcWiXcUcKGng3UsHEOljzh4bHe3DV9cM4fJPt7G9oI7LPtnGF1cPwc1BxUVDQkkL9eDqz7dTUt/G5twaPr9qMO+tyWVrfi0qhYxHz4kn0seZnKpmDpY2sre4gayKJqqadKzIqLQEwFy0x5/WdAYTtyzcRVVTPFeODOfVuSkMCPPgyd/SWXKgnKyKJj68fJDl3oXTn1g/BEEQhL9DrB+CIAinp9OqjHH79u2MGDGCJ554grlz57Jt2zbmz5/Phx9+yLx5807oGqdLyvSpoLiulas+2052ZTMapZwXz09mRnIgv+8v4/XlWeR1NlqXy8xBn+7iAlzJKOs5CPZ3uDmoCPF0IMTDEXdHFQu3HWl6/8ZFqQwJ98RFq0KrlPfai+rP/WXc9+M+mnUGHFQKrhsTwftrc9F1y2a6fHgYze0GShvaKGtop6Su7aR7bHX38eWDGNvfB5VCTk5lMy/+dei4uwmqFDJGRnkzKzWIyfF+6AwmftxZxNdbCzlc02o5blx/H24YG8nQcM8ey+70RhNb82pZkVHBuqwqy/erN7dNiOLOyTEnVcJXUt/GDV/tZH9JAyqFjKfOTSTMy4lbF+6mulmHk1rBC+cnW+14eKCkgUs/2Up9q57EIFe+unqopRF9ZWM7V3+xnQMljWiUcl44L5ml6eUsOVCOQi7jzYvSmJ4cYLlWW4eRg2UN7C6sZ2t+LVvyanrMljuWG8ZGcv+0/shkMnYV1nHTgl2UN7bj5qDiw8sG2my8IFg7XebU/3X9OF3GKQiCcLo4XeZVsX4IgiCcWs7Inl0Av//+Ow8++CDZ2dmEh4dz1113HXM3xqOJBefEHCpv5IpPt1HRqMPfVcuHlw+kulnHS0uzLEEsd0cVc9KC+Wl3sU1D97/LRaskzt+V2AAXYv1d6e9vzixyczDvlNeiM3DZJ1vZVViPt7Oa768fTsRxsm+MJonnl2Tw0XpzaduQfp7MHhDEc39m0NhuwM1BxTOzE60CMmBunP/TLtt+WrH+LmRXNmP8m0EwuQzOSQ7klglRxPi5YDCa2Hm4jhUZFazMqLQKSjmoFExJ8GNWahAjo7zZklfDgi2HWZFRYQkwpoS4c8OYCKYk+NPaYWBNZhXLD1awOrPSKvAjl0FSkBsjorwZEenFoDBPalp03PPDXrbk1QJw/sBgnjw34aRKJds6jNzz415L2eFVI/tx3ZgI7vh2D1vzzde9fmwE902NRSE3B9IOlTcy76Ot1LR0kBTkxjfzh1p2Q2zRGbht4W5WHqpEJoNnZiWxo6CWn3aXoJDLeO3CVGamBPZ4L0aTRHppA5tya1iWXm7TK6w3s9OCePmCFBRyGVVNOq77age7C+tRK8xB3llpQSf8ftib02lO/V/Wj9NpnIIgCKeD02leFeuHIAjCqeOMDXb9r8SCc3xb8mqY/+UOmtoNxPg5c/+0WD5Ym8e2AnPgwkWj5LoxEZyTEsj4l9f8z683rr8PZyX6MzDMkwhvJ+TynjOL2vVGrv1iBxtyqnHVKvnu+uHEBRz7e9jUrue2hbtZ3bmL4/zR4SgVckv/sdQQd96dN4BAdwer81o7DDz8ywF+2lUCmANKr85NsZS1lTe0c+Vn2zhU3nTS4w3xdODGsVFMS/S3KQ8EyKls5re9pfyyp8Qqk8vbWc0Fg0K4ZEgoRpPER+vz+GFnca99trrOmRjrx4Q4X4ZFeFmCht0ZTRJvr8rhjZVZmCSI8nXm7UvSLJsInAhJknhrVQ6vdvY3G9/fhzcvTuOd1bm8v9b8Xk+K8+ONi1Jx6uyFlVPZxIUfbKGmpYMh4Z58efUQtCqF5Z4e/uUAC7cVAvDw9DgOlTfx485i5DJ4ZW4Ks9OCj3tfhTWtjHlp9QmNwd1Rxc6HJ6OQy2jXG7nzuz0sOVAOwL1T+3PTuEjRuL4H9jKn2ss4BUEQ+oq9zKv2Mk5BEIS+IoJdvRALzrGtPlTJ9Qt20mEwEeXrTH9/F/7cX4YkgUYp58qR/bh0aBhfby20BDH+LpkM1t4znlAvx+MeazRJ3PT1TpamV+CoVrDg2qEM6GwK35vCmlau+eJIGeZD0+NYll7BhpxqAK4c0Y//OzsOtdK67DGnsokbF+wiu7IZuQxumxjNLeOjUCrkmEwSP+4s5vm/DlHb0gHA9KQA7pnaH7VSzsacajZkV/Pr3tLjjkkplzGuvw+z0oKYFOdnCfR0kSSJPUX1LN5Tym97S6npfD2ZDMbF+BDj70J2RbOln1p3IZ4OvDY3lbRQD0s21fFszq3h9m93U9mkQ6OU88zsJM4fePyAUndL9pdx5/d7aNebGBjmwSdXDGJtVhX3/riPDoOJuABXPr5iEEGdwcUDJQ1c/OEWmnQGJsT68sFlA1F1lqFKksSzfx7JyLt7cgwl9W18u70IuQzeuWQAZyUF9HovXfKrWzj37Q00tpvLV0dEerGyh/esy95Hp+DmaG6c/8LSQ3ywNg+AG8dFct/U/iLgdRR7mVPtZZyCIAh9xV7mVXsZpyAIQl8Rwa5eiAWndyszKrhxwS46jOZMIY1SbulnNTMlkEuGhrI0vZzPNhbYnHv/tFhe+OvQCb+Wi0bJDzcOP+Hsocd/TefzTQWolXI+v3IwI6K8MRhN5r5a9W3UNHdQ06Kz/Ls0vYKqJt0xr+nrokEmAxkyHNQKHNUK0kut+4wN6efJOSkB+DhrqGrW8ebKbKqbzUGnGD9nnjw3kWHdejoV1bby+K/pxwym9PZ+nJXkz5wBwT324DIYTazIqOSNldk99kJTKWTojda/ynEBrtw9OYaJcb4nHKCpadZx1/d7WZtlzoS7emQ4/3d2bK990Hqyo6CWqz/fTmNnZuCXVw+ltKGN677cSXWzDm9nDZ9eOYjkYHcAtuXXcvmnW2nXm5iREsgbF6ZasvskSeLNlTm8tsKcMXbrhCgqG3V8t6MItULOJ1cOYnS0z3HvaX12FVd8ug2TBI+cE8/stCBeW57FV1sO93j825ekWcpaP16fx9N/ZABwxfAwHpuR0Gv2oT2ylznVXsYpCILQV+xlXrWXcQqCIPQVEezqhVhwerbiYAU3fr2zx4DJ9CR/9hY3sCKjgpP5abl8eBgejmreXp1j1d9KLoPPrhrC2JjjBykkSeL5JYf4YJ05u8ZFoyQxyI3i+lZK69v/dt+sf8KQfp5E+jrTz8uRIA8H1mdV88ueEnQGEyqFjBvGRnLz+Ci0KgVVTTqWH6zgr/RyNudW27zP3UX6OHHpsDDmDAjGzUGFJEnsKqzjq82H+XN/uSUY2Z2rVsnVo8I5b0Awi3YV8/H6fMvOk4P7efDYjAQSg9xOaFwmk8QbK7N5Y2U2AKOjvXnr4jTcHW1LLnuTWd7E5Z9upaJRR5C7A19eYy5RvPaLHWSUNeKkVvDBZYMYFe0NwOrMSuZ/sQODSeL6sRE8eFac1fU+WpfHM3+aA073TIkho6yJP/aX4aAyZ/kNDDt2lh/ApxvyefL3gyjkMr6/fjgDwzyoa+lgwNPLe/253vf4FFy1Kr7eepiHfzmAJMGFg0J4bk6SCHh1spc51V7GKQiC0FfsZV61l3EKgiD0FRHs6oVYcGytzariqs+2We2o6Kg2l3vVterZebjupK739bVDGRHpxZrMKuZ/aQ5gOKkVtHQYAXjy3AQuH97P5jxJkiiqbWN3UR27C+tJL21ge8GxX1utkBPk4YCPswZPJzXLMyqsAmApIe7sLaq3fP3q3BT8XLWolXI0SjlymYzalg6u7Db+QDctV48Kp0VnZNWhCvYWN5zU+AFGRnkxIzmQhEA3YgNcLKV5AA1tepaml7NoZ7GlgXtPlHIZEtgE9FKC3bh0WBiT4/34c385H6zLtfT2clQruHhIKBcMCmbxnlI+25hPu96ETAYXDAzmnqn98XXRntAYluwv467v99KmN3/fnpqViI+zmmadkdYOA806A606I806A3qjCQmQJPP3UZKguL6VjTk1luudPzCYcG8nXlp6ZPvu/zs7lnlDw3BUK1i8p5Q7vtsDwPNzkrhoSKjV/by/NpfnlxyynLchp4Z1WVW4apX8eOMIYvxcjjkeSZK47ds9/La3lCB3B/64bRTujmra9Ubu+HYPf6WX93jelSP68fD0OH7bV8rd3+/FJJkzvB6fmSBKGrGfOdVexikIgtBX7GVetZdxCoIg9BUR7OqFWHCs7SqsY867m2we93PVUNFoLgNUK+SMiDIHr47l2lHhPHxOPAA7D9cy72NzaVpikCvZFc3oDCauGB7GE+cmAuYgzsHSRjbmVrM9v5Y9RfWWvlQ9mZ4UgJujCpVchlIhRyk3l+5VNLVT19LBptyaXs89GeckB+CiVVmao3d5b94ApiX6U9vSQUFNK3lVzfzfz/uPmaUF5h0VB4S5MyjMkyHhnqSFult2OyysaWXRrmIW7SqmuK7tmNfxdlbzyRWDSQlxt3rcaJL4c38Z767JtZQ4apRyrhzRj1lpQby/NpfFe8w9xJw1Sm6ZEMVVI/uhUSqQJImalg4O17RwuKaVgppWCmtaKKpro6pJR2Ft69G38a9wUCkIdNeSW3VkJ8qLh4Ry6bBQIn2cLf3MXlueZck4e/SceP7cX8aOw3UEuTvwy80j8XHRHPN1mtr1zHhrAwU1rUyK8+Ojywcik8kwmiQe/zW917JGgPcvHUBrh5G7f9iLJMFN4yK5b1rsPzD605u9zKn2Mk5BEIS+Yi/zqr2MUxAEoa+IYFcvxIJzRHZFE5NfW9fr8xql3JIlNP3NDce81syUQN64KBWZTEZmeRMXvL+JxnYDQ8M9qWrSkVfdwvAIL54/L4l12dVsyqlmc14N9a16q+uoFDLiA93QKuVWWU+JQa4UVLdaSvP+DrkMFHLb3lYnSq2QE+zpQJinIwq5jBUZR/pyTU3w46lZiTS06jlY1kh6aSMHSxvZX9JAQ5v1GJVyGUnBboyN8WFCrC+JgebywiUHyrn5m13HvIcYP2euHxPJzNRAq2wxMGcurc2q4u1VOezozMZz1Sq5YVwkKcHuPPnbQTIrrHePdNEoafob7+nZSf44qpU4a5Q4qhWolXJkyJDJzO9zV8aTTm+kpL6dRbuKLeeGeDrgrFH12HusJ3IZhHk5Ee3rTIyfC7/sKaG4rg2ZDF6Yk8x7a3PJr24hJcSdb+cPw0GtOOb1DpQ0MOfdTXQYTTxyTjzXjAoHzO/f6yuOlG/2JNbfhaQgN37YaR7PvVP7c/P4qBMax5nKXuZUexmnIAhCX7GXedVexikIgtBXRLCrF2LBMTtc08LYl9b0+JxKIePSYWHcODaSorpWzntvs80xV47ox56ievYU1RPr78LPN43EQa2gpL6NOe9upKJRx4BQd3xcNCxNrwDAx0Vj0zTeWaMkIdAVB7UChUxGh9HEwdLGXjO85DLwc9US4KYlwN0Bf1ctn2zItzw/PSmAkvo29nSWLj48PY4rRvRDIZNZNT3/ZEO+pel4oJuWl+emIEnwwbo81mVZZ7BFeDtRVNd6zCBZYpArCQFuJAW7MTTckyhfZ2QyGSaTRHZlM9sKatmeX8v2glrKGtqtzlUr5D324TqWIHcHrhkVziVDQ3vcxXF1ZiU3f73bUoJ4PIFuWsK8nAjzciTMy4lQT0f83TR4OWlwVCto0xu57sudlmDZkH6eXD2qn7lsETB1li6qFDIc1OYAmIPK3PTfSWPOYrv8k21kVjTh56rhu+uGE+blyCvLsnh7dQ4AE2J9mZrgR15Vi6VH24mI9nUmu7IZgLMS/XnnkgHH7af11eYCHlmcjlop58/bRhHle6QE8p3VOVallsfzxkWpnJsadMLHn2nsZU61l3EKgiD0FXuZV+1lnIIgCH1FBLt6IRYcyK1qZuIra3t8bnpyAPdPjUWrlvPEbwf5Y1+Z1fMpwW58PX8YLy/N5PNNBbholfx2yyj6eTvRojNw3nubOFTe1OO1wRysSgp2x6kz+6ap3UB6aQO99ZmP9Xfh7KQAon2difZzJszLyZLRJEkSjy42l57JZPDUuYlszq3hj/1lKOQyXjo/mTkDgq2uJ0kSry7P4q1V5gDLRYNDePLcRPRGE48sPsBPu0oAc8+t1y5MtfS3Mpok8qqamffxViqPs8sjgKeTmiH9PBka4cnQcC9i/V0sAZjiulY25lTzx/5ym8Bal1fnpjA62oel6eV8ujGfvG7lfd35uWq4bWI0cweFcLimlXVZVWwvqGXH4brj7kbZ3YRYX1JD3ClvbKeiod38b2M7NS0dJ7UpwcmYnRbEwDAPft5dYukL9/D0OK4dHUFNs44Zb22gtKGdQWEe3DEphqyKJrIqmthf0mCza+bRfrppBMlBbr3uIilJEld9vp01mVWkBLux6MYRVsd27w92PEq5jG/mD2NIuOcJjvzMYi9zqr2MUxAEoa/Yy7xqL+MUBEHoKyLY1Qt7X3A25VRzycdbbR4fEOrOw+fEEx/gykfr8nhleZbNMe/NG8BZSQH8daCMGxaYy+0+unwQk+P9MJkkZry9odcgxIBQd8AcNDpU3oTOYJ3JFOLpQFqIB+UN7WwrMJcvvnVxGjNSAnu8nskk8eivB1iwpRCZDJ6ZlcTKjApWHqpErZDz5sVpTEv0tzrH0BnQWritCIC7Jsdw64QosiqauenrneRWtSCXmR+/cVwUim7ZQTmVzdy4YCfZlc0o5DLum9qf+aMjkMmgqLaN9FJzAGZXYR27Cuto11uPz8NRxfhYXybF+TE8wovf95Xy5qqcYwaktCo5E2P9ODspgNYOAx+uy7NkMJ0IlUJGcrA7ycFu7Dpc97ca7XdRymW4aJU4a5UU1Vr3FhsU5oFCbi5h1BslWjuMtHUYOv810tJh6DWY2Zt7psTQYTDxZmdQsisI1qWtw8i2glqu+HRbr9dwc1Axvr8Pk+L9GBPjg6tWZfV8eUM7U15bS2O7gXumxHDLhGir5z9cl8uzf55YwAtg5d1jifRxPuHjzxT2MqfayzgFQRD6ir3Mq/YyTkEQhL4igl29sOcF55uthfzfz/utHnN3VPHgWbFcMDCEzXk13P7tHqqbbQMwn145iAmxfpQ1tDHt9fU0tOm5fmwE902NZfWhSq79ckevrxvr72KT7eXromFklDcjIr0YGeVNoLsDRbWtnP3Gepp0BuaPDueh6fE9Xk+SJB77NZ0vN5szup6fk8SazCqWHChHq5Lz4WWDGBPjY3VOu97IbQt3s+xgBXIZPD0riUuGhvLXgXLu+n4PrR1G/F21vHFRKkMjvKzO/WNfGff9uJeWDiO+LhrevmTAMbN4Ogwm9pfUsyWvlq35tewsqLXsRHk0hVzGyxckMzMlCIVcRlZFE7/vLeXXvaUU1BxpDu+qVTI7LQgJ+HJz703UwbwD5bkpgZgkiczyJvYU1ZNT1XzCGVrTEvyZOzgYP1ctPi4aXLUqNEq51c6DP+8u5p4f9mE0ScxMCeTVuSm9ZlGZTBINbXqqmnVUNenYdbjOKpga4ulARYPuuKWc4/v7cNP4KJKD3dAozZmBFY3tzH5nI6UN7QS4aalobO8xsKZSyBgW4cXUBH+mJwXg4aQG4JfdJdzx3R5UChm/3jKKuADrOeGVZZmWLECAADetTRlqd/sen2ITVDvT2cucai/jFARB6Cv2Mq/ayzgFQRD6igh29cIeFxyTSeKlZZm8tybX6vHzBwbz4FmxSMAzf2Tw8+6SHs9/6Ow45o+JwGSSuPSTrWzKrSHATcv5A4NZtLOY0mN8+O8uNcSdKQl+TIrzI7qzp1UXg9HEhR9uYefhOgaEuvP99cN7DZ68ujyLN1dmI5PBi+clsym3hp93l6BWyPn4CttAV2uHgWs+38HmvBrUSjlvXpTK1AR/3l6VYwm6jIzy4q2LB+DZGQQBcxbas39mWHqCDYvw5M2L0yyljSfKYDTx064S7lu0r8fnh4R7MjstiLOTAnBzMAdKJEkivbSR3/aW8sXmAptMsb8jyN2B5GA3Gtr0VjtXDgn35OqR/Xh5WRY5nZljV47oxwNnxdr0A+tuyf4ybl24G4NJYnpSAK9flGrTNL83B0oauPCDzbR0GJmREshrc1Moa2jnhgU7rbID5TJsgldqpZzUYHeGRngyrr8PGqWCC97fTJveyPzR4ewtbmBb5+YGlw0LY1NutdUuj0q5jLExPsxMDWRyvB93freHpekVDAh158cbRlj1+5Ik8y6NX3QLMN42IcqScdaTLQ9OxN/t5H5GTmf2MqfayzgFQRD6ir3Mq/YyTkEQhL4igl29sLcFR2cwcud3e/hzf7nV419dM4TR0T78sa+M+xft63WXw3NTA3n9QvMuiydb1gXmINK0xAAmx/kdMwDQFcBy0Sj58/bRhHg69njcZxvzeeK3gwA8NSuRg6UNLNxWhFIu471LBzI53s/q+NYOA1d9tp2t+bU4a5R8dPkgUkLcuPeHffyx39yP7MoR/Xh4epxVcK1ZZ+C2hbtZdci84+INYyO5Z0pMrwG43rToDLyzOoeP1+fTYTShUsgYG+NLfIALm/Nq2HG4zpJxpVbKmRTny+y0YIZHerHqUCU/7ChiQ071/9Q367ULUxgZ5W0VpDMYTXy5+TAvL8uktcOIo1rBXZNjKKpttQR2onydeeOiVBI6d4vsTm800aIz8PPuEsv3w0mt4NULU1HKZZikrqb15sb1GpUcrVKBtrNxvYNKwY7Dddzzw14AbhwXyf3TYpEkifsX7eP7HcVolObgpUIu45KPbEtvu7g5qKx2vHzy3ATeWZ1DRaOOGSmBvHlRKvnVLSw7WMFve0utgmmOagWD+3mytrN32nNzkrh4SKjV9U0mibu+38Mve0otj3197VDm9VAO3KUrE9Ie2Mucai/jFARB6Cv2Mq/ayzgFQRD6igh29cKeFpy2DiPnvLXeKqsFYPtDk1Ar5Ty2+IDVB/ijxfg5s/jmUTioFXy7rZAHfrIugQxyd6Ckvq2Xs088w2Vbfi0XfbgZkwRvXpzGzF76dHWVnAHcPTmGxnY9H63PRy6DNy6y7e/VojNw1efb2ZZfi4tGyRfXDCHI3YGrP99OemkjKoWMp85N5KKjghtlDW1c/fkOMsoa0SjlvHZhKmcnBRx3HEdbml7OY4vTKW80Z76NifHhsRnxVn2dyhraWLynlJ93lVh2OuxJYpAr4/v70tRu4PNNBSd1H97Oau6bGsv5A4NtdiksrGnlnh/3WjKhRkd7MyDUgzdWZluO0SjljOvvQ2WTjspGHdXNOpuea/+UibG+uDuqWbSr2PLYF1cPwctJzex3N6I3Stw0LpIwL0fWZ1ezPrvaKtDVJTnYjX2dPcpeviCF8wce2aggp7KJX/eUsnhvKYe7lYp2WXvvOMK8nKwe6zCYuPijLZZG+iGeDiy6cQRDnlnZ61iuHRXO/WfFnnC22+nKXuZUexmnIAhCX7GXedVexikIgtBXRLCrF/ay4DTrDCQ+ttTm8XX3jqekvo27vt9j1XvISa1AqZBbBQ7W3zee6mYdLy/LZGPOkbK3uABX5DJ6bUbv7axhxV1jcHdU9/h8d03teqa9vp6S+jbOGxDMK3NTrJ7XGYxUNur4fkeRVe8krUpuVdo3LMITk2QuOzNJ5utmVRxp5u7hqMLPVWvVO2xirC/TEv3xdtHg46zB21lDWUMbNyzYSUWjDm9nNR9dPoi0UI/jjqO76mYdj/2abtnJMsTTgUemxzM53s+qdLNLu97I4j0lPLo4vdcgkpuDina98X8KMg3u58Hz5yUT6eOM3mgip7KZ9NJGsiub+GBt3t+6pkYpx0WrpLq5w+rxlBB3lHIZMkAmMweL2vRG2vRG2vUm2juMtOqNGE+2c32nh86OY1K8H0HuDuwrrmdNZhUrMip63Qn0j9tG2WSoSZLEjsN1fLO1kN/2lmLodi/XjgrnqlHhBLk7WB6rb+1g6LMrLd+D2yZEMX9MBEmPL+v1PodHePHOPOvy2DONvcyp9jJOQRCEvmIv86q9jFMQBKGviGBXL+xhwalv7SD1yeU2j787bwC5lc02Oy2mhrgzNsbHKpvnlvFRHCxrtJTxdfF10VDT0mEVpJiZEsh1YyKY894mOgwm3rgolXNTg07oXh/6eT9fby0EzOVnFY3t5FW1UFDTSnlDG3Wttlk7fWVouCcjo7wJ83IkzMuJcC8n3Bx7bz4uSRK/7Svj8V/TqW3pQCGXcf2YCG6bGN1j76vqZh1fbj7Mgi2HqW0xB4uUchnj+vtS19phySI62tUjw5mdFkRikCsymYxdhXV8uDaPpQfLT7jcUSGX/a1A0xsXpTIg1AMXrRInjdIqa2nFwQquX7ATo0niyhH9eGxGfI/BvS6SJNHYZqCquZ3Z72yiqbOU9soR/WjtMHCgpJGDZT0HVLtoVXISA91IC3UnLdQDuUzGDQt29njsnLQg5g0LY0Cou8191bV08MjiA/zeGaAE83s0PSmA+aMjSAo2B8oKqlsY9/IayzF/3jaaUC/HHgPLXYI9HPjo8kE2ze/PFPYwp4L9jFMQBKGv2Mu8ai/jFARB6Csi2NWLM33BqWxq77G0akKsL0aTZOlN1OXaUeFcNCSESa+u+1uvd/+0WG4YG8Gln2xlY04No6O9+fLqIb0GOSoa29lf3MC+kgY+Xp9Hay+7FPbG31VrKQsEeHh6HK5aFVq1AmVnAOfWhbstz982IYqKRh3f7SiyPHbpsFAcVApqWjqobu6gukl33KBKl0A3LfGBrsQHuhEf4EpCoCvBHg5UNul4+JcDLD9YAZh3oHz5ghQSg2z7XeVUNvHx+nx+2l1CR2eWUJC7A+cNCEKtlLMio5I9RfW93oOfq4YbxkZy8ZBQqyBaXlUzH63PZ+G2whMaC5ib0/f3c6GftxMR3k6EeDqyaFcx76/NRZIgIdCVS4aG8sqyLGpbOnBzUPHGRamM6+/b4/V+3l3Mnd+Z+3DdOSmG2ydFn9B9NLTpmfXORvKrWxga7smCa4eiUsjJr25hxlsbaNYZ8HZWc1ZiAF9tOfZulMcT5evMvKGhXDAoBGeN0uq5O77d3WNp7/j+Ptw5OYbkYHc25VZb9RDLevosDCYT8Y/2HvByUCl48+I0m55yZ4IzfU7tYi/jFARB6Cv2Mq/ayzgFQRD6igh29eJMXnDyq1sY3y3rpDsXjdKSOQPm8rMXz0/m7KQAzn9/M3t7CK4MCHVnV6H145Pj/VibWUWH0cTQcE8Wzh/Gb/tKuf3bPWiUcpbdOcbS70iSJHIqm9mSV8OWvFq2F9RS2aTr8f78XDVEeDsT4eNEhI8z4d6OeDtruPO7PeRWtRDm5cg7lwzgys+2U92sY0yMD59cMcgqs8hkkrjz+z0s3lOKViXn62uHUlrfzl3f70FvlBgV5c37lw20CXB8t93cj0ySYGyMD7dPiqakro3C2lYKqls4XNvK4ZoWKhp7vvej3TQukjsmxaBWWvdq2lNUz5srs62y5VJC3DknKYDShja+315ES2fwTymXMTnejwsHhzA62ofmdgM/7Czikw35lvJTb2cNN4yN4OIhoeRWNbMyo5LNuTVsK6g9ofuUy8yN4S8f3o/alo7OnlztNLTp+etAOTt6ySzrMjHWF5kMZDIZjmoFzholzloli3aWUN1sfq/G9ffh3qn98XfV4umkPmamV05lE7Pe2USzzsDN4yO5d2osABuyq7nis20YTRIPnhWLq4OKB3/aj0Yp56PLB1HZpGN3YR27C+vJrGg64Yw1F42SCweHcMWIfpYNEUrq25jw8hp0BhO3T4ymoKaF3/eVWa45Kc6XOybF8NveUj5Yl9f5mB8fXzGIFp2BhB4yvOICXMkoa0Qug6dnJXHJ0FCbY05nZ/Kc2p29jFMQBKGv2Mu8ai/jFARB6Csi2NWLM3XBOVDSwDlvbbB8fXaSv80OjF38XbV8ePlAkoPdeXVZJm9264UF5swXNweVVRldQqArb1yUytL0Cl5amomzRslfd4zGy0nDhFfWUNbQzt2TY7hgUAirDlWyMaeaLXk11LRY93KSy8zX795Pq6dG9pIkcdf3e/l5dwkuWiXfXjeM+37cR3ppI7H+Lvxww3BctCqr45/47SCfbypAKZfx0RWDaGzTc+d3ezBJcE5yAK/OTbUJQH26IZ8nfzfvJnjJ0FCePjfRpol7l6Z2PRllTaSXNnCwtJGdhXXkHdX8H0CtkJMa4s6QcE+GhHvipFHy3pocVmSYg1wyGUyJ92NUlDe7Cuut+kVFeDtx4eAQ5gwIxsdFY3NtncHIop0lvLws01L62BMfF3MPsowTzFjrC2qFHB8XDf5uWkI8HIjw6QxuejsT7u2Eg1rBH/vKuPmbXchk8PU1QxkR5Q3AF5sKeOzXdGQy+PSKwby7JoftBXVMiPXlkysGWYJorR0G9hU3sC6rinfX5J7QfcllMC3Rn5vGRZEY5MaLfx3i3TW5RPg4sfSOMZTUtfHmqmx+2V1CVxzt6N+vX28ZSXKwO3UtHaQ9ZV1CPD0pACeNgu93mJvu3z4xmjsmRR8z8Hc6OVPn1KPZyzgFQRD6ir3Mq/YyTkEQhL4igl29OBMXnB0FtZz//mbL1y+el8yH6/PIqWy2OTYl2I2PLh+Er6uW3/aWWpX8gbmh9oHSBpraj2SBjY725qtrhpJR1siMtzZgMEmWHe7eWplt6QEW7etM9lGvqVXJGRTmydBwT4ZGeJEY5EpeVQsz3t6AJMFnVw5mfKxtSVxXEEohl/HFVUP4ZU8JP+4sxtNJzW+3jrJqHA7w5spsXu28jzcuSkUuk3H7t7sxSXDhoBCem5NkE8R6Z3UOLy3NBGD+6HD+7+y4Ew5AZFU0ces3uy07KDqqFYyK8mZ3UT1VvWSvAYyK8ubspAD+Si9nXbeS0uERXlw3NoJxMT693kNDm56lB8r5fX8Z67OreuzPFevvwkWDQ2hsN7Cv2JzpVFTb+46ZRxsT44OHowonjRIntQK1Us47q62DRgFuWqvNDR6eHgeYN0VobjfQrDPQ1G7gj/1lnIwgdwfiAlysgoI7HpqEl7MGSZL4v58PsHBbIR6OKt68OI2rP9+O3ijxziUDmJ5su1tmblUzE19Ze1L3MCnOl6tHhnPrwt3UtHTw7OwjmVh5Vc28tSqHX/aU9Pje5z93NjKZjIrGdoY+a11K/NmVg9ldWGcJLF86LJQnZ/YeWD2dnIlzak/sZZyCIAh9xV7mVXsZpyAIQl8Rwa5enGkLzupDlVz1+XbL129enMbh6habJvRg7jv0zrwBqBRy3lmdw+srsq2eD/F0sAmM+LlqWHX3OLQqBXPe28TeonqmxPtx28RoPt2Yz0+7SqyOl8nMDe/H9/dlRKQXycHuVtlUJpPE+e9vYldhPTNSAnnr4jSb+9x5uI4LP9iMwSTx2Ix4NEoF//fzfuQy+OqaoYzszPbpsmhnMXf/YO4T9fiMeLxdNNz+7R6MJom5g4J5fk6yTVChe3DsjknR3D7xxDJtJEli4bYinvw9nXa9CW9nDa/OTWFMjI/l+Y05NVz6ydbjXMlsenIA14+JIDnYvcfn2/VGVh2qZPGeElYfMpePdgnxdMDPRXvcckMAF63SKoDZnbujivrOjQBmpQby1KxEq6w5gMV7Srj3x310GEwkBrkyOy2YF/46RIfBREKgK59cMdgmO89gNHH1FztYl1WFp5N5Z0sw920rqGkhr6qFvKpmcqtarHYBPdqkOD+GhnuSFurOI4vTyShrZFCYB0MjPHlndS4+LhpW3DUWNwfbzQPeX5vL80sO4apVcsekGEsWn0YpP6GdLYPcHVh9zzirn+FD5Y0880cG67OrrY4dFeXNgmuHAubA2ISjAm0Hn5zKol0lPLr4AJIEFw8J5ZlZp3/A60ybU3tjL+MUBEHoK/Yyr9rLOAVBEPqKCHb14kxacJall3PdV0d2nntsRjyjo32Y9KptNssFA4N5dk4S+dUt3PX9Hg6U9Fze5u6o4vJhYby/Ls9qZ8WuMjLoOXAyNcGPSXF+jI/1xdvZtvyuS1dgylGtYNXd42wCJDXNOs55awNlDe1MTzbvhDf3/c10GE3cPy2WG8dFWh2/vaCWeR9tpcNo4qZxkSQGuXHrwt0YTRLnDwzmxfNsA12fbMjnqc6gx4NnxXL9WOtr9qatw8gDP+1jcWcD8zExPrxyQYql3LC1w8D7a/P4YG2uJZBydpI/Ed7OvL06p8dr9vNyZGZqEOemBhLp4wyYA4Jb8mr4aXcJSw+UW/Vac9Uq8XbW4KhRUN7QTnVz76WMAC9fkMLYGB+8nc39str1Rj5cl2cJ9HWJ8XMmt6oFo0kixNOB9+YNJDHIjXa9kfpWPfVtHazMqLRkwoE5i+xQeZPl64sGh1jKEbUqBQ4qBQaTydKw3t1Rxeq7x+HhpLZ6bUmSqG3pILeqhQMlDRwoaeCn3dZB1J4Mi/CkslFHXnUL144K5+Fz4m2OMRhNzHp3IwdKGjkr0R+jSWLZwQoGhLrz9iUD+GNfGT/vLjnmBgW3jI/inqn9be55TVYVz/yRYZVB+coFKZw3MBiAjTnVzPv4SNBzdloQr12YyqKdxdzz414kyfyePTvbNuvwdHImzanHYi/jFARB6Cv2Mq/ayzgFQRD6igh29eJMWXBWHKzg2i93WL6ePzqc2yfFkNhDg+wbxkZy79T+fLIhj5eXZVl2AOxOJjNnmtw7pT8vLj3Ewm1FDAzz4NvrhrFwWyGPLk7v9V6+umYIo6N9jnvPje16Jry8lupmHQ+cFcsNRwWZjCaJKz/bxvrsaiJ8nPjiqiFc+MFmShvamZrgx/uXDrTKviqqbeXcdzZS29LBtAR/LhwSwvwvdmAwSZw3IJgXz09GcVQQ4bvthdy/aD8Ad02O4dYJURhMEkaThEIuQymX9ZjhVVLfxnVf7iC9tBGFXMb90/pz7agI5HIZkiTx695Snl9yyFLeNyzCk6tGhrM0vZyfd5vL3uQymBjnR0qwGwfLGll9qIo2/ZHdKEM8HTAYJRrb9JZG9cfjqFYwNNyTAaEepIS4E+iu5eP1+Xy3owhJArVSzi3jo7hhbKRVdlJRbSu3LNzd48YE/zYntQJfVy0+zhp8XDSEeDoS7u1IeGfvrq7A3Adrc3luySEAInycqGrUWQX+jvbXHaOJ9bf9nU4vbWDm2xsxmiSePDeBF5YcoqXDaCnFBcgsb+Ln3SUs3lNiVaLZ5fLhYdw9uT9ujtbZYwajiQ/W5VkFAa8a2Y97pvTHSaPky80FVr87K+8eS6SPM7/sLuGu78395C4eYg54na49vM6UOfV47GWcgiAIfcVe5lV7GacgCEJfEcGuXpwJC87RpYtT4v146YIUUp5YZnPsHZOimTsohDu+3dPrLn1+rhreu3QgA0I9yK1qZspr6zCazLsX5lQ2U9545MP/8Agv5gwIYtnBCpYfrGBirC+fXDn4hO776d8P8vGGfCK8nfjrjjE2zeLfWJHNayuycFApWHzLSF5bnsWSA+WEezux+JaRuHYrrWtq13Pee5vIqmgmLsCV68dEcMd3eyzPXz8mgsZ2A41t5qyk+lY96aXW2TtKuczSGL6LXGYOEKkVctRKBRqlnJJ669LOAaHunJUYgIeTmsqmdj7dkG/JsApyd+CuyTHkVDXz8fo89Ebz9c9O8ueuyf2J8nW2XKdFZ2D5wQqe+v2gTSP/3shlkBTszphob0ZFeZMW6mHzPgIcLG3k6T8Osim3BoBgDweuGhmOSiHjYGkjB8saOVTe1GPgsydeTmrcHFV4OJqzsnYeo3QyxNOBKB9n2vUm2vRG2vVGqwyw43HWKAn3dqK/vws/7jQ3dU8JduPHG0dwqKyJLXk1PPNnRo/nTorz5eykAKYk+FvtuvnS0kO8szqXQDctcweH8PqKbLyd1ay6Z5zVz5XRJLE2q5KvNh9mdWaVzfUfPSeeK0f0s8nEeviX/SzYUmj1Hrx8fgpDI7y4+Ztd/LHvSP+yrt5ei/eUWDZQuGlcJPdNiz3h9+hUcibMqSfCXsYpCILQV+xlXrWXcQqCIPQVEezqxem+4GzJq2Hex1sxdtu979vrhnH9gp3sLqy3Ovbeqf2JD3Dlru/3UNeqx0mtoE1vpHt8J9BNy6p7zD25AKa+ts7SdP1oH1w2kKkJ/uRXtzDxlTWYJPjtllEkBbsd974LqluY9OpaDCaJL64ewtgY60yw3YV1nP/+ZowmiVfnpmCS4J4f9qKUy/jl5pEkBLpS2tBOdkUTmeVNloyfU133QGJ3BqOJ3/eV8cmGfPaXNBz3OmNifLhocAgjI71tsouOJkkSuVXNbM6t4ZFjZOSBOeDnolVS19p7z6wh/Tx599IBVuWpBqOJe3/cx8+7S5DJ4P5psSzZX8be4gacNUo+uWIQQyO8rK7z/Y4i7vtxHwC3TYgixt+FikYdh2tayK9uoaCmheK6th6bv3c5f2Awg/t5MDDMk/lf7iC/2nY3TDD35JoU58eMlEDG9fdBkmDSq2spqW/jpnGR/JVeTl5VC1ePDOfRGbblj2DOfpvwyhpLwLK7b649slMkmINkkf/3p9UxMhlcMzKcOyfHkNAt43JKvB8fdvYvW7itkAd/MmcaPjw9jmtHR/Q++FPU6T6nnih7GacgCEJfsZd51V7GKQiC0FdEsKsXp/OCc6i8kQve32zpl6VRyvnxhhE88Vu6TZPye6f2p6ndwPtrzTvpxfq74O+mZU23bBWNUs6hp6Yhk8nYebiWm77eRUXjkZ0E00LdLQG0y4eH8eS5iQDc/f1eFu0qZkKsL5+eYFbXLd/s4vd9ZYzv78NnVw2xeq61w8D0NzeQX93CuamB3DEphvEvr7E8nxLsRk5l8wmV9iUEuhLl64ynkxp3BzVKhYwdBbVWWTqT4/1o1xsxmiQMRokOowm90USzzkBDmx69wYS+8/F/gkYpp7+/C3H+rkT4OJFe2sjGnOoTzuYCUClknJUYwGXDwxgU5mFV8iZJEjmVzWzJq2FLXi1b82uO28vrkqGhzB8dQaino6XU8/UVWTabFjiqFbR2GAlw0/LBZQOtGumbTBKPLD7A11vNGU13TY5hY041W/Nr0SjlfHblYKuAEMD9P+7jux1FeDmp+eO20TY923QGI0W1reRUtnCwtIH9JQ09ZlgdSz8vRwpqWi1fu2iUnJMSiLujivfW5KJRynliZgIP/LQfhVzGkttHE+Pn0uO1mtr1DHhqeY8BL4CND0yw7Ay6NquKKz7dZnNMlK8zD02P46rPjmRj/n7rKBKDzEHid9fk8OJf5jLI1y9MZVZa0EmN9792Os+pJ8NexikIgtBX7GVetZdxCoIg9BUR7OrF6brglNa3MefdTVYlhW9clMo3WwvZmm9dnjhvaCjZlc1s63x8QqwvpfVtNqVkP980ArlMxsvLMm12llt043ByKpu5f9F+XLRK1t47Hk8nNYdrWpjwylqMJonFN48kJcT9uPe+v7iBGW9vQCaDP28bTVyA9fvevcwrytfZquF3dyqFzCroMCTc0zJGgP87O5amdoN5l7/qFgprWk6499WpQK2Uc1aiPzOSAxkd440kwZ/7y/hqy2GrrL2UYDeuHR2Bk0bB8oMVLD9YSXWzzupaGqWcgWEeDIvwIi3UnfgAV/aVNPDwzwcsZZlXDA/jwbPjLFl90PMugh6OKupa9TioFLwzL40JsX6W5yRJ4rklh/hwXR5gLsfLKGtkdWYVjmoFX10zhIFhnpbj2/VGZr+7ybKj4sLrhqFS2JZhdmcySYx9ebVlp9ABoe7sK26wKUHtcv3YCGYkB/Lr3lJ+21vaYw+usTE+aFVylqZXMCnOl4+v6D1o21V+OyzCk0lxfjz9h3UJ5YhILz68fBBOagVDn11JZZP5e3FOcgBb82upatKhVspJDHRlV7fvY/oTU3HSKJEkiWf+yODjDfmolXIWzh/GwDDrTMBT2ek6p54sexmnIAhCX7GXedVexikIgtBXRLCrF6fjgtOsMzDn3Y1kVRwJAl02LIzqZh1LDpRbHRsf4EpDm56S+rbOjJYA/txfTkObdZlahLcTkb7OLD9YYfN6q+8Zh4+LhnEvraG6WWdVXvXQz/v5emsh4/r78PlRGVq9ueyTrazPrrbsRteiM7CtoJZNOdV8tD6/1/NCPR05JzmApCA3ov1c0CjljHt5jaWE82QlBLrSz9sJXxcNbg4qHNXmHQMd1MrOf+W0dhi55ZvdlnPmDgpmXH9f1mRW8v2OYqvr+btqrYKP/ytfFw1TEvwYEenN6GhvXLr1kjpQ0sB7a3L5Y39Zj+dqlHIG9fNgWLgXwyK9SA52Q6NU2BzXrDPw0l+H+GLzYQDiAlx56+I0q15iOoOR/g//ZXWes0ZJs86AXAZPz0rikqGhluckSeKtVTmWHR5vGBtJemkD67OrcdEo+Wb+MKtS14LqFma8tYEmnYH5o8N5aHrPZYTd5Ve3MO31degMJt6bN4AxMT5sL6hlQ3Y1H2+w/Rnyd9UyNcGPqYn+IMG324v460C5VbaeWiG3fP399cMZEu5pcx0wlzOOfWk1JgmW3D6aWH8XHv813fIedukqG+7eT2/9feN54rd0VmRU2lx3dLQ3X10zFDAH9G5YsJNlByvwdlaz+JZRloyxU93pOKf+HfYyTkEQhL5iL/OqvYxTEAShr4hgVy9OtwXHZJK4fsFOq6BUtK8zaaHuNsEXAK1KTrveRD8vRwaEeVh2AuyNXAaz04LJqWxib3EDM1ICeeviNF5bnsUbK7Pp5+XIsjvHolbKqW/tYNhzK2nXm/j2umEMO6onU0825lQz7+OtgHmXukNlTWwvqO0xK2d0tLclw+zF85KZOziEotpWNuVWsy672qrJ99F8XDREeDsR4eNMpI8TYV5OPPdnBnnVLXg7a1h8y8jjBg8Ka1q54rNt5Fe34O6o4pMrBpMU5MYryzL5oDNzKcTTgedmJ5NZ0cQLfx2iw2DCw1HFYzMSmBzvR1FdK4drWsmpbLbaoe9kqRQyhkV4MTraG6PJ3KttU251r+V0T8xM4KIhIT0GuHqyJrOSu7/fS01LBw4qBU/MTOCCQcGW8kiTSeKaL7b3WkJ464Qo7pocY1VO+fH6PEvW092TY1ifU822/FrcHVV8d91w+vsfKRX860A5NyzYCcCnVw6yyhbrzavLs3hzZTZB7g6svHusJSMtq6KJKa+t6/W8IHcHZqcFMT7Wh12H63ttbt/VOL4nN3+9iz/2lzF3UDAvnp8CmHcXHfn8KktZcU+uGxPBg2fF8smGfJ5fcsjm5/7deQM4OykAMG9YcP77m8koayQuwJVFNw7HUa3s6bKnlNNtTv277GWcgiAIfcVe5lV7GacgCEJfEcGuXpxuC07XB/wuKoWMqQn+/H6MwM/gfuYd+jbmmHfiGxruaVPqCF07BJoDFpNeXYvUmbkS4KZl9AuradIZeOeSAUxPNn8Yf29NLi/8dYj4AFf+uG1Ur4EBMGf77C9pYObbG3t8PtTTkcJac18lV62SbQ9N4povtlvu+aLBIWzKrbEc05tZqYE8OSvRakc9gCd/O8inG/PRKOV8d/1wUo9TbnmgpIErP9tOdbOOIHcHvrh6CGqFnFu/3c3eonoALh0WylUjw3l08QHLfY7r78OL5yfj62LuPWUySfy2r5SXl2Vayu560pUp9XfcOC6S4RFe7C2q57NNBdR29v7yd9Vy5+Rozh8YYunDdSyVje3c9f1eNuSYA4wzUgJ5Zrb1e9m9n9TR5gwI4vk5yVa7Qb69KpuXl5kzvB45J57f9payp6geb2cN318/jAifIxlkXd8jb2cNy+4cg6eT+pj329ZhZOIrayhtaOfOSTHcPina8lxXcPbo+1ueXkFTt/c5JcSdUVFevLM6t8fX+PCygUyO97P52d5RUMv572/GQaVg20MTrbLujt4d9Wgr7hpLlK8zuwrruPWb3Ta7e+55dDLunbtcltS3ce7bG6hu7uC8AcG8MjflmO/JqeB0m1P/LnsZpyAIQl+xl3nVXsYpCILQV0Swqxen04LTPfulS/em8T2ZmRJIXnUzB0oaUSlkPDEzkad+P0ib/kjvKl8XDR9ePsgSAOpqGt7Vu+jlpZm8vTqHWH8X/rxtNHK5DL3RxJgXV1PW0M7LF6Rw/sDgHl8/v7qFX3aXsHhPiVWTcMDS82hyvB8VjTrmfrAZgFcuSOGTDfkcLGu0uZ5CLrMqW7xhbCRfbz1MU7uBi4eE8tycJJtzuu/698zsRAaFeVLVpKNZp6dZZ6RFZ6BZZ6C1w0CLzsi6rCryuu3qNzbGhx0FtVb9vqJ9nVEp5Fb3ODMlkFsmROHvpsVFo2RjTg3P/5XBgRLbcQS6abl+bCRzB4XgoDZnJNW1dLCnqJ6NOdVsyKm26anWmyhfZ+YMCGJWahDujioWbiviw3W5ls0FYvycefCsOMb19zlmQBLMwbn31+XyyrIsjCaJUE9HPrhsoFVftaXp5Vz/1c4ezx8T48MHlw60jEmSJJ5fcogP1uUhk8Ezs5JYsOUwB8saCXJ34OebRuDrag4MtuuNzHhrA9mVzZyV6M+78wYc935/31fKLd/sRqOUs/LusQR7OFquNfX1dRzu9jP32oUpnJUYwPKDFfy8u4S1WVUnVAKbFOTGHZOimRDra7kfSZKY/No6ciqbeXa2dRknQEObnpu/3mUJHHbXveS3tqWDGW9tsAp4DQn35Pvrh1u+3pJXwyUfbcEkwYvnJzN3UMhx7/m/dDrNqf8LexmnIAhCX7GXedVexikIgtBXRLCrF6fLglNU28rZb663KpFSyGUo5DI6DD3vEnjxkFA25FRRVNuGu6OK5+ck8eLSTPKqjgRy5DLIeeZs5J2ZP7Ut5tLEDoOJH28YToSPM6NfWEVLh5EPLhvI1AR/AH7bW8qtC3fj7axm4wMTrMrlapp1/Lq3lF92l7C3uMHmvlw7G9x7dGbu9NQTqru4AFdGRnoxIsqLWH9XzntvE2UN7cxOC+JASQPZlc0MDPPg62uHUtPSQX5VC3nVzeRXt7A20zpwdSp48KxYrhoZbpUB1V12RRMfrc/rsSz1WGQyc3P0OWnBTIj1ZdGuYt5alWPpzzY8wosHz4612kGxS2O7ntL6Nsrq2ympb2P5wQrWZlmXLCYGudLUbqBFZzju7o4uWiU+zhocNeY+aNsLjuwOevTuiKvuHkuopyNKhZwDJQ3MemcjBpPEq3NTmDOg5yBqF0mSuOjDLWzNr2V6UgDvzBtgeW51ZqXVjocRPk6suHOs5We9qsn8c7pwW2GvmyB0lxLsxh2TYixBw64yzZRgNxbfMqrHe1uwtZBHfjlg81z3vnd6o4noh5ZYPf/hZQOZ0vm7Bkcy5LQqOYtvHmVVAnqqOV3m1P+VvYxTEAShr9jLvGov4xQEQegrItjVi9NhwdEbTVz4wWarnduO58oR/fhlTwn1rXpCPR05NzWQr7Ycpr7VujH9irvGEOV75IPzO6tzeGlpJklBbvx6y0heXJrJe2tySQh05fdbj5Qqzn1/M9sKarl9YjR3To5BkiS25dfy9dZCq8bfCrmMUVHe9PNy5IvNh1HKZay9bzxB7g5UN+tYvKeUp34/2Os41t07nlAvR8vXd3y7m1/2lOKkVmAwSeg6A33ezmqadQba9T0H/rrzcFTh46LBRavCSaPEWaPASa3kQGkjGd0ytYb082RbgW255z/By0lNlK8z0X7ORPu6EO3rTGO7ge93FLHq0JHm5YlBrlw4KISZKUFUNLXzx74yft9XSm7VsQN4DioFZycFcN6AINZmVfHZpgKroOi4/j7IgNL6dkrr26xK+/4rwR4OhHs7We0E+u11wxjcz/OYZZgHSxs55631mCRYdOMIq50Lb1yw02rThk+uGMTEOOt+YJIksSm3xtJL7mjXjgrn662FlmzIIeGePDI9nkB3LcOeW4neKPHnbaOJD+x5/jhY2sj8L3fYlCteMTyMB86Kw0GtYHdhHbPf3WT1/M6HJ+HlrAHMGXdXfr6ddVlVRPs689uto6x2zTyVnA5z6j/BXsYpCILQV+xlXrWXcQqCIPQVuwh2Pf/88zz44IPcfvvtvP766yd0zumw4Lz41yHeXZOLViXHYJR6bObe3aQ4PzbmVNOmNxLk7oCXs5p9PWRYnZXoz3uXDrR8bTCaGN1ZmvjKBSlMTvBjxHOraNYZ+OjyQUyONwcJ8qtbGP/yGuQy+OuOMWzMqebrrdbZMcnBbsxJC+KclEC8nTVc+8UOVmRUMCs1kKkJ/izaVcyazCqbsVw5oh+fbyoA4McbhjOonycNrXp2FtbywpJMMiuOXdqnlMsI9XIkwtvJase7jy8fRH9/F3xcNGhVCpra9RyuaSW/uoWC6ha+3V5kE4z4rz0/J4m5g0IsmUhdJEkis6KJ3/eaA19Hl4f+Xe6OKgLdHAh01+LjosXVQYmjSsmbq7It5X5B7g68M28AzhoFMpmMPYX13P3D3l6v+dbFachlMlo7DDS06S0N60+GWiknLsCV5CA3koLcSAxyI9rPXEba5b4f9/L9jmJGRHrxzfxhlsdL69uY9OpaWjtLUI9+vruGNj0pTyzr8bm7J8dQ3azj2+1FlgDrnAFBFFS3sKuwnitH9OPxmQm9jqGpXU/S47bXjvBx4o0L00gKduO89zax83Cd1fPdA141zTqmvr6e6mYd14+J4MGz43p9vf/S6TCn/hPsZZyCIAh9xV7mVXsZpyAIQl8544Nd27dvZ+7cubi6ujJ+/PgzJti1vaCWuR9sRpKO35+ri1opt2TxOKgUtOmNVo91+eXmkVaN2v/cX8ZNX++ylCZ+uekwz/yZQbSvM8vuHGPJ6npp6SFLQ29HtcISSHBQKZiVFsglQ8JICnazXDezvImpr/e+Ox5gySS7+KMtbMmrxUWr5MJBIWzOq+FgWeMxd5B86Ow4InzMOy8GezigUsj5anMBjyxORyGX8ercFFQKOftLGjhQ0kBGWeNxy/C683bWUN2ss3pselIAkT5OtHQY+WRDfq/nju/v07lzpZ6qJh3lje2W9+tkXD0ynBkpASQHu1tlOUmSxI7DdTz520H2l9gGNE/ENaPCmZrgj1IhQ28wYZLMu3hqVYrO/+T8tKvEsptkSrAbH14+CL/OXlt7iuq5+MMtVn3guqSEuPPl1UNwczA3cG9q13Pee5vIqmgmKciNK0f0swTLpicFMDbGh7zqFtZkVh6zZ1lXAGxAqDvDIrwI9nBg1jsb0Rslvrl2KCOivC3Hvr4ii9dXHGlW/8dto0gIdOvpsjz7ZwYfrssjIdCV9FLrXmv+rlrmDgomr7rFZkMIV62S3Y9OOWYGWkl9GyOfX2XzuFIu487JMfi5arnnqMChQi5j4/0T8Hczv9fLD1Yw/8sdyGTww/XmYPCp5lSfU3tzsn8sOV3HKQiCcKo6HefVM/UP7YIgCKeTMzrY1dzczIABA3j33Xd5+umnSU1NPSMWnLYOI2e/uZ786hYmxvqyraDWqmfXiYoPcOX/zo7jqs+3oTeav7099Rm65KMtbMqt4dYJUdw2MZqxL66mtKGdF85L4sLB5gbc+4sbmPH2BqvzYvycuWxYGOemBdnsgthTeZaPi4bzBgQT5K7lkcXpyGTwwpxkPtmQf9zMre4GhLrz/fXDUXbL8GntMPDZxgJLYOZYvJ3VNkGv7qWLk+J8efH8FJ76/SA/7y4BzLs9PjcnGQe1grVZVdz7w14qm6wDYeckB3D/tFhCPB05miRJ/LKnhHt/2GeT1eakVlg1wT+WYRGeBLo5kFvVzIHSxhNqtP5P83PVMCzCCx9nDWWN5hLLniQHu/HN/GE4a5SAuf/cue9spLalg7OT/EkKcueFvw4hk8GnVw5mfH9fAD5al8czf5ozwZ6YmUBJfRv7ixs4UNpg83sgk2EVEN372BRLgK1FZ2DsS2ssAcs5A4J4dW5qj/da1tDG6BdWYzBJfHT5IOZ/ucPmmGhfZ6Ym+LMlr4Yd3TKxbhoXyX3TYo/5nl3+6TbWHdULrUtKiLtlp8/uwrwcWTh/GIHuDgDc88NeftxZTJiXI0tuH42jWnnM1+xrp/Kc2pu/88eS03GcgiAIp7LTbV49U//QLgiCcLo50Xn11PrUdIJuvvlmpk+fzqRJk3j66aePeaxOp0OnOxKcaGy03SnvVPHKskzyq1vwc9XgrFX+rUDX/NHh3DO1P2+uzLYEugAuG97P6rii2lY25dYgk8GFg0P4c38ZpQ3teDurOTc1iF2Fdby2PMuqn9Lgfh7cMiGaMdHeVrvmSZLE6sxK3l6VY9Nn7I2LUjkrMQCdwWgp65IkuG/RPqvjIrydGBrhxbAIT5p1Bh76+QBKuYwpCX78ub8cZ42SNy5Kw2CS2F5Qw+a8GjbnVls1Qu+iUsjo7+9iKYFLDHQjwseJkvo2Lnh/M03tBoaGm1+nK9Dl5aQmIdCNAU8tt7qWXC7j5m92WfXV6i41xJ1IH2eWHazAx0WDj7MGHxc1Ps5aMsobefGvQ5b3xM1Bxc3jI7lsWD/L7oUmk0RJfRtZFU1klDXy695Ssipsm6dvyft3eomdjIpGc8+149lX3EDiY0tZfPNIEgJdCenc4fGSj7bw5/5yonxduGhwCN9uL+KOb/fw+62jCPF05KqR/fhpdwkZZY3sK27glbkpgPk9KqxtZW9xPdsLatmcW2PTwyzliWUMj/BiUrwfk+P8uH1StKVR/E+7Srh/WqwlM627ADcHZqYG8tOuEn7ZXcLFQ0JYuM28M+mwCC/eXp1DdmUz2ZU5DO7nwfzR4Xy03pzZ9+6aXIrr2nj4nDh8XWyvDTB3UHCvwa6eAl0Ah2taufDDzSycP4xgD0cenRHPppxqDte08vaqnOMG2IRja25uZt68eXz00UfHXT8EQRAEAcTaIQiCcDo67TK7vv32W5555hm2b9+OVqtl3Lhxx8zsevzxx3niiSdsHj/V/rqyu7COOe9tQpLMWS1P/X7wuL26uvN21vDq3BTGxPjQrjcy4vlV1LaYs5g8HFVsfnCiVYPrrlKvkVFeLLhmKDPf3sj+kgamxPuhN5pYnWn9AX1wPw9+uGGE1WMmk8TS9HLeWpXDwTLbIOLBJ6eyIqOSX/eUWPXTOlr3pvktOgOTX11LaUM7o6K82ZxXg9EkMaSfJw5qBVvyaiw9lI5237T+jI7yIcbfGY1SQbPOQE5lM9kVTazJrOKP/T1nIvWVa0eFkxbqQZSvM/28Ha12tJQkiX3FDSw5UM77a3P/w7v8Z6kVcpKC3UgOdiOroomNOTUAvHZhCp9vLGBvcQNJQW78cMNwtCqF1e/BwvnDGB7p1eN1K5va2ZJXy20Ld/f4fIS3k9WunHdNjuG2idE9HnuovJFpr69HLoMPLjNndynkMtbfNx4njZIP1ubyyYZ8y8+dq1ZJY7dAtItWySPnxHPBwGCrIDBAu97I0GdXWnbIPBlB7g78cMNwAt0dLOWMKoWMJbePttpk4r92uv3F+oorrsDT05PXXnvtmOtHT38oCQkJOW3GKQiCcKo7ndaPE107QKwfgiAI/7YzMrOrqKiI22+/neXLl6PV9pxJcbQHH3yQu+66y/J114JzKjGaJB7+5QCSBLPTgjhQ0tBroOvSYaEs2FJo9djAMA/emzcA387Mld/3lVkCXQBzB4dYBbpMJokfdxYDcMHAEPaXNFj6Py07WAGYewdNTwrg173mTJ6Hpsdbnf/bvlLeXmXOegFzL695Q0P5fFOBJaNs0NMreuxX9fHlg7j7h700tOl5YmaC1Qf311dkUdrQDsCGnCNZZd13SfRx0TAi0guVQm4Zx2Mz4nF3VLF4TwnZlc3kVDafcAP6o8sJB/fzIC3Ug883Flh2mexuSrwfsf4u6Iwm9AYJncFIfZuevKoWq90dbca9IR8wZwUp5DJCPR2RySDvODst9pUQTwfGxvig05tobNfT2GagSWf+t6yhzSpT8ER1GE3sPFxn04j9zu/2MjbGB4D9JQ088Vs6z81JJi3Ug3lDzT/jD/28nyV3jLYKCnbxddEyMyWQUVHejHphFa0dRsb1N9/7toJaq0AXwKvLs5ieHECkj7PNtWL9XRkd7c367Gp2FdYxPMKLzXk1LNhymPumxXLftFguH96Pl5dl8uPOYqtAF0BTu4H7ftzHsvRynp2TZJXlpVUpODc1kC83H7Z5XZkMAly1lp/3o5XUt3HZJ1v5/vrhTI73Y1KcLysyKnn4lwMsnD/MJrAmHN+3337Lrl272L59+3GPfe6553r8Q4kgCIJgX05m7QCxfgiCIJwqTqtg186dO6msrGTAgAGWx4xGI+vWrePtt99Gp9OhUFh/MNZoNGg0mr6+1ZPy7fZC0ksbcdEquXRYKOe9t7nH43oKdF0+PIyHp8ejVpr7WEmSxBeduxt2mTvIOri3Jb+G4ro2XDRKBoZ5MPrF1ZbnZDKYlRrEbROjyapo4te9pQS5O5DS2YB+XVYVzy85ZMnkctEquWpEP8b29+GeH/ZZBURaO4yEeDpQVt+OwSQR4unAirvG8tXmwzS06Qn1dOSSoaGW41cfqrSUiB0tNcSdKQl+TIrzI8zLkZ0FdVzy8VbL80/8drDH847VF+vXW0ZikuDqz7fT0mGkn5cjX149FK1Kzi3f7LYJdN0zJYbrx0Za7QoI5vf8172lPPX7kZ0Hp8T7ceWIfjhqlFQ0tpNf3UJOZxBuT1E9RpNEfvXxg1wuGiUS0Kw7uZLW1BB3Pr5iEM4aJd9uK+TdNbk2vcaOVlTbhlIu5+FZ8VbB0S7teiOXf7LNEnhMCXYjNcSdorq2Xss8j2Vtt/K+hduKSC9t5NW5qdw7NZal6RXkVbfw4do8bu0lIwvA00nNhYND+GxjAUaTxMLrhtHQqmdNViXLDlZY9RWb+MpaUkLcmZUayIzOXUO7zBsayvrsan7YUcTjMxPYnFfDwm2F3DYxGq1Kgb+blpcvSOHiISE89PMBq2b6s9OC+GNfGSsyKtnx2jqenpXIOcmBlufPSbYNdoV6OlJY20pta+8bJ/i6aMitauHKz7bzzfyhPDYjgQ051WzJq+W3fWXMTAns9VzB1sn+seR0+EOJIAiC8O86U//QLgiCYA9OqzLGpqYmDh+2/tB41VVXERsby/33309iYuJxr3GqpUzXtXQw/pU11LfqeWxGPPtLGvhpV4nNcf6uWmpbOqwCMC+dn8wFRwWyjm4o31Nj+vt/3Md3O4oA60bfHo4qvr9+ONF+5kyrO7/bw8+7S7hmVDiz04J4fskhS7aVi1bJVSPDCXDT8uueUjbn1Vi9xhXDw5iZGkR/fxdGv7CKulY9r85N4eykAEa/uJqqJh0vnJfEzJQglh0s58edxVb9wbrf/4eXD6JFZ2DVoUrWZFaxraDWZqdJlUJGQqA5+BLj50K0nzP9vJy4+4e9Nj2Tgtwd+OqaIRTVtXHDVztp0xtJCnLjs6sGc7imheu/2mW1G2OEjxPvXDKAuADbn5eC6hYeWXzAcu+RPk48MzuJYRFHyu8kSSK9tJGHfjnQa5+mE+HuqGJCf1+8XTT4umhwVCupbdHx+76yY+5keLK8ndV8cfWQHncw1BtN3PvDXn7ZU2rZaGDuYPPP4HNLMvhgbd7//PphXo60641UNOrQquSsu298rz2xwNx/buxLqzFJsOT20Vbfpx93FtvseAjmn5ezEgO4dFgYg/t5YDBJDH9uFdXNOt6+JI3n/jxESX1bj79jBqOJeR9vZWt+reVa0xIDyK5osnwfZqcF8dSsRJw1SowmiWHPraSqW7DxiuFhxw0S3jw+koXbiqht6WBYhCdfXD2ED9fm8cryLII9HFh599ges9762qk2p/bml19+Yfbs2VZ/EDEajchkMuRyeY9/LOnudBmnIAjC6eJ0mFf/17UDTo9xCoIgnE7OyDJGFxcXm4CWk5MTXl5eJxToOhW9viKL+lY9/f1cmBzv12uGUl2rdaDr9QtTmZUWZHPcjzuLrL6eMyDY6mu90WQJdIH1jna7HplsKY3SGYys6CxpXH6wgk82mDOu1Ao5UxL8cNGq+GbrYZvdDcG6B9e7a3Koa9UT7u3EzJRAFm4rtHzo35pfy1O/Zxwzaykt1IMLP9hMQU1rj8+PiPTizskxJAW52WQjPbb4gE2gK8LHiQXXDCWnspn5X+ygw2hidLQ37106kJ93FfPI4nSr42enBfH0rEScNNa/KjqDkffX5PHOmhw6DCbUSjm3jo/iurERlgBEZVM7X28p5I2V2b2Or5+XIzKZ7ISyvOpb9fy02zYQ+k+rbu5g+ptHAqaOagUjIr0ZEu5BmJcTt0yIxlGj5Juthdz/0z4c1ApmpATywLRYqps6WLSruMfrRvk6o1HKOVjWyLFC7Ie7fa/b9SaGPLOSL64ewvAIL0sGY3chno6cnRTA7/vK+Gh9ntXOi3PSgqyCXbdPjGZNZiV7ixv4dW8pv+4tpb+fC5cOD2N6kj9fbD7M9zuKmTcslBf/yuSHHcU2wS6lQs6nVw4m4bGlAOiNEr/tLSU+wJXpSQH8lV7Oz7tL2FtUz9uXDCA+0JWpCX4s2FKIt7OG6mYdv+wpZf3947n/x30sOVDe4/vwzupcFt88knkfb2VLXi0P/rSfp2clsmDrYYrr2vhq82GuHR3R+xspWJk4cSL79++3eqz7H0uO92FFEARBsD9i7RAEQTh9nVbBrjNNYU0r32wzlyU+NiOezzYW9Hps96bsbg6qHgNdOoORxXuP7JanlMuY0a3UqayhjQkvr7V83fXBG+CBs2KtegCtzayiqTMIVVhrDj4kBLriqlWxNL3cUq7o66LhosEhNLYb+HxTAQPDPCyBrmadgY/WmTN9bp0Qhd4oWQWTujLYfFw0Vlkv3X3eWZKpUsgYGu7FqGhvnl9yCICLh4Ty3JykHs/7dlshXxxVOpYY5MoXVw0hq6KZ+V+aA12T4/14dW4Kj/+abun/1eXF85K5YJBt0/G9RfXc+f0eS6+t0dHePDEzAX83Le16E8sPVvDGimxLP7OjdS+t7C2Idypp7TCyIqOCFRkVNs9JEty6cDebcqu5bkwkz8xOJL+62WZXToCKhnZ+vnkEXk4atubXcMOCXSd8D1d8ug03BxUzUgI4b0AwqSHuVt+X+aMj+H1fGb/uKeXeqf0JcHMAzLtpvnJBCnd3Bry0KgWLbxnFgZIGFmw5zC97SsisaLLs3AjmUt3bJkQhl5l7xRVUt9DP28nqfpw0Skufr/gAV4rqWjlY1khOVTNT4v3YXVhPXnULs97dyGMz4jkrMYAFWwrRG00Eupn7dP25r4y3Lk7jpq93WXrlHe3LzYd579IBXPnZdn7aVUKkjzN3TY7h/kX7eXt1DhcMCsHNQXXC76M9OxP/WCIIgiD8u8TaIQiCcPqyTZM4zaxZs6bX3VBOda+tyEJvlBgd7U1yiLsle+p4bhkf1ePjKzMqqW89suvb6GhvPJ3UGE0Sn23MZ9Ira2nTH+lfteDaIQDIZXBetwyw7QW1XPfVTqtr+7poSC9tZHNeDXqjeXfE9+YNYOMDE7hzcgybcs1lfN2v8+XmAupa9bg5qCisbSXu0b+srjkzJZCF84eREuze43j8XM2BtPcvHcjuR6ew4NqhyDvjG15Oah44K7bH83YU1PLI4gNWj8UHuPL1tcPIr27hmi+2ozOYGN/fh/87O46LP9piE+h66Ow4ZDJ4d00uj/+azs1f7+L89zbR74E/OPedjVZN5ddnVzPhlbXEP7qUlCeWccs3u3sNdAG99hA7EQp5z03JPZ3UXDMqnKV3jKHg+emW//KfO5u3L0nr8ZyUEHdevzCViKMCOX/Hwm1FjH95DbGP/NXjpgQATToD13yxA5kMpiUGkPX0WSQF2ZZK9qahTc+CLYXMfncTk15dy7trcijvbO6eEuLOkHBPDCbJEiDtMjP1SMD3hb/MgdLEIDeePy+Zrf83icdmxBPhY/0enP/+ZoI8zAGz3jLVxvf3BczlpcvvHMvYGB86DCaWHCgn0F1LWqg7HQYTD/18gIXbCtEo5TS06Unq7H/33Y4ilAo5b12Sho/Lkf5hz84+EsBdtKuY2pYOHp+ZAMBLSzNxVCuJ9nWmvlXPx+v/97JRQRAEQRAEQRCEM81p1bPrn3Cq1M0fKm/krDfWI0nmRunLD1bw1qqcEzp3xV1jifK13VXu6s+3W/UAeuG8JAaGeXD393vZW9xgdezX1w5lT1E9Ly3NZFSUNwuuHUpDm55n/jjI9zt6/nAvk5kbr183JpKBYR6Wx7v6hKmVcrY/NAk3BxWtHQbiH13a43Wc1Aq+v2E4qzIq+WBdXo9ljN9dN4wh4Z5W2TsVje1MeHkNLR1GXjw/2abxPkBpfRsz395o1XMryteZ764bRlFdG5d+vJVmnQE3BxXTkwP4ZmuhzTVOd6GejpybGsjstCC8nDQoFTJUCjllDW2c//5mmyy6/n4ujI72ZuG2Qlo6jKgUMvzdtBTVWu9m+eJ5yfi7adlf0sDiPSVkVfQe0DuWkVFefH7VEFQKOYdrWpj2+nra9EaemZ3I+qxq/krvuawPzFmNbR1GS0mvTAajory5bFgYJgluWLATTyc1Wx6caFXy+MqyTMvv14b7xxPs4Wh1XUmSWJddzRWfbuvxdXOfPdsm0Jhb1czEV9aiVsrZ99gUNEo5C7YW8tTvB+kwmAhw05IS7M6KjAqr3VXnDQ3l2+1FGE0SK+8eS6SPs83vS4CblrJuuzS+cF4Sh8qb+GxjAVqVnBvHRvHaiixcNEo2PDDhP83uOlXm1H+bvYxTEAShr9jLvGov4xQEQegrJzqvnvaZXaert1bmIElwdpI/SUFuxw10vXmxOTsnxNOBSB/bTJyGVj3rs637Ux2uaeXsNzewt7gBF63Ssnubh6OKoeGe/N65U905yQGszqxk6mvregx0qRVyLh4Swoq7xvLBZYOsAl1wJPNlcrwfbg4qimpbew10AQyP9GbWOxt5ZXlWj4Gu9+YNYGiEl0354LN/ZtDSYSQt1J3zj+pFBubdAq//aqdVoMtVq+TaUeHcv2gfs97ZaHm9hjb9GRnoAnPZ6VurcpjwylpSnlxGwmNLiXl4CWNfWkNdi22PtcyKJj7ekG/JONMbJYpq29Ac1R/rvkX72Jpfw03jIll251jynzubNfeMs8pEOhEbc2qIfmgJe4rqCfFw5N6p/QF47s9D3DutP2Fe5kDUpDhfnj+qTLWhTY9aKcfXRUOwhwOSZM6su+6rnTz5m7lEtralw6bk8oaxkZb//fAv1ll/ADKZjLExPux7fEqP95z65DJyjsrWi/B2wsdFQ4fBxN6iemQyGZcNC+Pnm0YQ7u1EWUM7yzMqGBPjg4fjkWDU11sLGRvjA8CizoxCR7WSc5IDLMd0D3QBPPDTfuL8XRkd7U273sTPu4sJdNPSpDPw5VGZbIIgCIIgCIIgCPZOBLv+A/nVLfx5wBxoun1iDIt62H2xu4wnp7Glc7fD8f19bYJAACsyKix9tLq8uyaXDoOJMTE+LL9zrKUsa2yMDwU1rWSUNQKwOrOSqz7bTnlju8115w0NZe1943huTjKRPrbZZEaTxO/7zH3CBoV5cO8Pexn70mqrYz69clCP9+reLQAQ5G6+t8H9PJiW6G/zOlvzaljcuQPgkzMTkR+VZSNJEvf9uI/9JdYZbI3tBh74aT8rMnrf9a6LVnXm/zp0zzA6Ht1RO16CuWl6+IN/0tZh3omon7cTlwwNJf2JqaSFuluOGxruedxso1nvbGTQMyvY07lDZbPOwLN/ZPDq3FTkMliRUYm7o5rdj0y2Oq9ZZ6CySUdZQztpoe6MifHB3VFFabcA0U1f7yK74sgOlU4aJV2/NmsyrYPC3blqVUyK8wNgWsKRn8OmdgNTXlvL/T/uo7TenPEmk8kYEu4JYNmZESAh0I3fbh3FzJRAjCaJVYcqifBxtso0a2o3lxv/vLsEY+f35JzkI+WWR5MkuP+nfUyI9SXATUtBTatlvJ9szD/mJg+CIAiCIAiCIAj25sz/dH8K+nBdLpIEE2N96e/vYrVb3NG2PTQRB7XCsqvguP4+PR7X045uDioFT89K5IurBuPvprV8yB/X39cSoAJYmt5zc+wLB4XwzOwkS7PvnuwoqLXsyPjEbwf5YWcx3eMpt02M5urPd1idc8HAYH67ZRQTYs09j/xcNZQ2mAMID02PtwnmGYwmHvvVnLVz8ZBQS88jgPKGdr7fXkT4g3/ya7fm/L3pCk70pF1vG9yxBzF+tkHM44l79C9GvbCKJ387yJL9ZbR0GPj8yiGWa7XpjWx8YALfzB96zOvUtnRYfd9WHqrkkw15XDkiHIAnfktHrZRb+tRF+zrz1sVpDI/wwmiS2F1Yz7qsKiJ9nJmeFIBDtx05J7+2jmu/2G4Jpn19zZF72VFwJDh1tBkp5gyrzIomvr72yDkmydxna9zLa3jmj4M0tusZ1vnztC3f+nrOGiVvXJTKU7MSUcpl7DxcR5jnkdLJ7QV1gDmDa2tnIHvoMX42wRzweur3g8xICUSlOPI7Ut+q54cdRcc4UxAEQRAEQRAEwb6IYFcfq2xsZ9FOcybXDeMij/mh+8urh+DroqWkvo3iujYUchlDwr1sjmvWGWzKtly1SpbcPppLh4Uhk8moaGwno6wRmQxGRHnx+orsHl+zezbLJUNDjzmWtg4jF364xeqxMTHWwbg3V1q/zq5HJvPSBSm4OihZvMcc5GjVGZEkc8P61BB3m9f5YWcxh8qbcHdUcfvEaDZkV/PsnxlMfW0dw55byX2L9tmcMzHWlw8vG0isv4vV40cHJY7mqFaQHHziTdPPBF29tzyd1Cd1XnFdG59uzOfGr3cx5JmVzHxnA+4O5mvsK27g/kX7GB7hxaYHJuCqPfGNX//cX86nG82bNZQ1tPPS0kyuGRWOo1pBdmUzjmoFC68bxu+d2VOKzmDSH/vLLCWQXVZkVDLrnY1c9slWVN0yq+Z9vLXX158U54dWJSe/ugUXrdJSgnjPlBiGhHvSYTDx0fp8Jry8lqI6c5B25+E69EbrYGlXWeNX1wzF3VHV66YFv+83Z3l6OKktwcLLh4fZHHduaiAmCT7fWMDkeD+r577cfBjTSWTtCYIgCIIgCIIgnMlO/BOo8I9YsOUwHUYTA8M8GNzPk34P/NHjcdeOCrcEjrZ3BmgSA11x1th+y77ooWfPrkcmo1Qc+XC/tjOry9dFw0UfbLE5PiHQlcdmJODqoOSv9HKc1AoSe9kpz2SSWLSrmFeWZVk9/t68Afyyx7okM9BNaym3+vCygZaAyrurczGaJDRKOU06A2qF3NK7qbt2vZFXlmUC5gyWrgb1x/LBZQOZEu/Hue9s5FB50zGPBbhuTAQTYn0JcnfgvPc2se+oZv7/ptQQd4aGexIf6IqLVomjWomzRomjWoGzRolGqUBvMmEwSvw/e2cdHleZvuF7XJKJu2uTppK6Ky0UKFJKcXf3ZXfZRRd2+S2Ls7i7OwXaUurukjZJ27i7jdvvjzNzMpOZtGlp2QLnvq5cGTkzOTM59j3f8z6v3enC5nRhdwr3bU4XNoeLbouD5m4rTd0WNpS1sc7jFDpc2oLkefUlRK0gIyaEorouv8dlMiEjrrLVJD62cGc9C3fW88blY3jwjCHc+ckOZDKYMSiWZQcpJezLW2srONDcw9TcGBYVNfLs0n2ckB/H0ORwnr1gJH8+OY8311Tw0caqgP/3/JHJfL2jjlX7Wli1r0V83OoQvkeVIlDvD9EomZYby+I9jawoaWbOkAQ+2lRNQ5eFj6+dwPLSZh7+bg9lzUZeWSl0QzTbneyp66IwiFg7MTuab26awtXvbAoa6v/BhirunTsYvVrJ2IwoSht7UCnkPHh6AQ9+u0dc7oT8OCx2J4uKGlm1r4XkCB21npLK8hYjK/c1M8PTIVJCQkJCQkJCQkJCQuKPjCR2/YrYnS4+2iSUG10+KYOiuuCiSm5cKH89JV+8780DClaC99OeRv6zqMTvsXkjkvyELoBV+4WBfmOXFegNcI8JVXP3nDwWjE5FIZfx4UYhtL0wNSKg+xzA7tpO7v1qt1ga5uXuOXnc8+UuOkx28bFnzh+BzeHi7s92khyhY5YnC6mm3SSG2ss9JYvnjU0l1afMy+F0sfZAK5f26Y5ntDmJNWiYPiiW6YNiWV7SLL4XwHXTs6jvMJN5z/cB6+7LE+cUMntwPDI5/Li7gccXlbC5sv2gr/klFKZGcPaoZKblxpIerQ+au3a06bbYWbWvhS+31bJkT/BS1cPFaHNSVNfFiNQIv23gjEKh++PminY2V7axvqzXQXflW5vF8kK3G9YcaGVqboyf+ASCYNZfb1jfZXfUdLJ0bxOzPe6mlEg9951WwK0n5PLOugqeW7Yfmydv7ItttTx29nC2Vbfz2ZYav1y7p5aU8ueT8wnGjLw4Fu9pZHlpM7fOyuWjTdUsKmrkoTOGMjMvjsnZMby5ppxnl+4Txdczn1/DzgdPIkwbmFWWFq3nixsnc8ZzqylrMQIwIStK/J5GPbyErfedyLjMKN7fUMWmijbunTuZ9zdUiY6wR78vZvndM7j4tQ1srmzH3Ef0fWtthSR2SUhISEhISEhISEhIIIldvypL9jTS1G0lJlTDnCEJDLr3h6DLvX7ZWD+xamO54NTxLWF0u928sPxAgNAFMCknxu++2+3m237yrJb9aQYGn8H5Vo/g4xs2DoJw8uSSUt5eW4HLLTh8BJeRIB70XY8Prh7PpJwYLnldKBc7d0yqKJ69uPwADpcbvVqByeZEKZdx3fQsAPbUdfHhxiq+31VPax+n0eWTMji9MImRqRHI5TKWlzT5CV0AL68oC/o5vYxOj+SNy8eyoayVe77cyfe7ArPOfikqhYxRaZFMzY1hck4Mw1OCC4fHGoNWxanDEjl1WCIOp4stle38tLeRH4saqG4z/6L33l7dwaD4UNGp9PX2OnbWdLL4jmmoFHKsDienPbtaFGrM9l5hxuZwBQhdYVolL108msV7GnlrAN0Fr35nMzfMyOai8WmkRAoiabhexS2zcrlkYjoj/rFEXPbPn+9kSk4ML108mhWlzbyzrhIQGjg0dFm466Q8sUGCl+mebLxtVe0UJIYRplXS3G1le3U7o9OjUCvlXDc9m3kjkxn/r6Xi6+Y8tZJ/zR/GzCCiU6hGyaI7ppH7d2G/9xUELXYXl72xkUfmCd0n99Z3YXe6+faWKeTf9yMADV0WmrqsvHbZGM5+cS0Hmo1+77+8pJnaDnPAZ5GQkJCQkJCQkJCQkPijIWV2/Yq8t14YZJ83NoUN5cFLzR48vYA0n9yhTrNdHNSOSY8EhNK+2z/eHlToApiU3SuKmWwORj/yU9Dlvrppsp/QBbC1ShC7RqUJf8srlM16YgVvrhGErrnDE3nyvBF+LpmYUA1jM4TXpEXpmZgdTVO3hTUeR9m8kUKnuYZOC59uFgQqhcfddMqwRNYdaGXe82s49dlVvLu+MkDoKnnkZB48Ywij0yORy2U0d1u5/M1NQT9XfwxODGNyTgyFDy3m2ne3HFWhK1SjZP6oZF6/bAzb7z+Jj6+byM0n5DIyLfJ/InT1RamQMz4rmr/PLWDl3TP56NoJzB+V/Is6UPYtyStvMZL79x9oN9rQKBX8cNtUvwy3yydl9PteXRYHTy4p5f7TClh8x7R+l/N1N764/ADT/7OcOz7eTnFDb1llhF7t1wFUIZexen8L17wjNErwNdV9sbWWmY8v59Hv99Lp40pMjtCRGxeKyw3ry1rFz7Gi1F+kiw/T8uJFo8T79Z0WrnhzE3d9ssPv/byoFHJm5Qd3X22qaOcvn+9EJgO7001pYzdalYIFo1PEZab9ZxkRejVvXzmO6CAZa59skoLqJSQkJCQkJCQkJCQkJLHrV6Km3cTaA63IZEJHwUte3xiwTLhOxaUTM/we85Y6pkTqiAxR09Rt4bxX1vP19joUchkpkYKLw5vllRiuFZ0u1W0mCu5f5JfF5A22jtSrGN4nk6vT1CusjUiNoKnLwjXvbOaWD7fR1G0lI1rPfy8cSbhOxXXvbhFfd/GENJbfPUMUdc4ZnYJMJuO7HfW43MJ7pUeHAPDu+gpsThchagXdVgcA3+6o4+7PdrK9ugOlXMbc4Yk8d8FIQtRC6dtT5xWiUfZ22Stu6GLsP4MLeAdjb31XQGD+QIk1aAIcMxqlnFOHJfDSxaPYfO9snjx3BLMGxxMSJFfteEImkzEhK5onzx3Bpr/P5tH5wwKcfL+EkQ8voaHTglIh578XjiQzRvjf13WYKX/0VC6ZEBi+DrC5sp0R/1iMWiHn1lm54uO5cb3dIvs2GHC63Hy5rZaTn17FFW9uZENZK263m8k5MRg8/4cnzilk7vBEXG4hyL1vqaTN4eLllWWc8MRyPt9Sg9uzgLfz6fKSZqblCre9XVF98c22u3RiOjIZfL61htlPreDn4sDy0eEpEUE/PwiOOe/67fHkot0wI9tvmZWlzaRE6nn+olEo+wipzyzdJ66/hISEhISEhISEhITEHxVJ7PqV+MZTRjghM5ot/WRDfXXTZOR9Bq9FtcKAd2hSOOUtRs5+cS07qjuI0Kt496pxZHhEpHCd4NAq9AyklxU3MfWxZX7vNWdIPKM97rCxGVEBf2tHTQcA6dF61hxo5aSnV/LT3ibUCjm3z87l1lm5PPTtHj7YUCW+JiZUwyPzhtHWY2N9WRsyGZztcaJ87QmrnzdCcHVZ7E7xtX1D5lMidfz55DzW3TOL5y8cxb7Gbow2J7lxoZxRmIzb7WbN/hYueGU9Jz+9KuC78wbMH23yEwxE6FU0d1up7TCjlMs4IT+Op84rZMt9J/LCRaM5eWgiWpXi0G92HGLQqrhgXBpf3jiZJXdM45qpmUflfSc8upTyFiNhWhXPXTAStULO4j2NvLehigdOL2BochhAQPfELouDGY8vZ+3+XgfVuWNSuaifzqBPnlvI3GGJyGSwrKSZ815Zz/wX17KytIVZgwUH1c6aTp6/cBQfXDPeTzjz8ublY8mJC6XVaOOuT3dw3svrKWnoFvOvVu1rZuqgGM97ddBh8ncdpkTqxP3vnNGpfHb9JLJjQ2jutnLlW5t56NsirI7e7T3P0yF0WHI4D88b6vde3s6PgHicyI4NJc6gER+/9I2NtPRYmZAVzQOnFwR8nr5NIiQkJCQkJCQkJCQkJP5oSGLXr8TX2wSx69RhCdz20faA54clh4sOGF92e5xdTrebs19cS3WbmfRoPV/dOJlxGVFi2aHO44IqTI3gwW+KuOKtwBK/BaNTxc6OwcLuSxuFTnaVrSZu/XAbHSY7Q5LCeOmSUeys6eTOT3bQ3G0lKzZEFJa8JVafbRHKp6bkxJAUoaO8xciOmk4UchmnFSbhdLm58f2ttPcp7UqP1vPWFWNZefdMbpyRQ6xBg9HqEHObbpmVy7c76pjz9Eouem1DQKdBnUrB2r+ewKnDEsXOdAfDK7wNlOKGbjpMdlIidfzt1Hw2/n02b1w+lrNGpgTtjPlbJjfewN/nFlD88Mn886yhh37BIZj5+HKWFTcxNDmcv3gaLjz83R72N/fwf/OHI/d0cHx0/jDUfRoq+DYL+Of3e7ltVi7jMgK32Ts/2cH0QbEsvXM6F45PQ62Us62qg2ve2cxX24V97ofd9bhcbiZlx/D9bVO57zR/gejbHXV8eeMk/npKPjqVgo0VbZz67CoWFQllrk3dVuwON4PihbLGNfv9t0GZTMbgREHAKm3sZnR6JAtvncqVkwXh8M01FZz1/FoONAtln16xa19TNxeOSyPWR8jKjTeItz/eXC2KZOeOSfX7m/d/vRuAiyekc/5Y/+fu+HhHwPckISEhISEhISEhISHxR0ISu34F9tZ3UdLYjVohp7bDEnSZj6+bEPTx3bWC2LVkTyNtRhvDksP5/IZJZMSEsLe+G5PNSZhWiclTEvjvH4v9Ar7fvHysmFFUmBIuighjgwgHL6/sDXdXymXcNiuXBaNTuOn9bfxcLDi8bpuVy/e3TsXuFLrdTc2Nwe128/lWwU3iHZR7XV3jMqL4aU8js59cwc/FTX5/LzculBV3z2RGXpyfy+yzLTV0WTyf54dibv94e0A+lPAZItnzjzmYbE7u+2p30O8PoCAxjFtn5TI6PVIUQAbK5JxoXr10DCvunsm107KJCpKT9HtDq1Jw0fh09v/zFJ69YOQveq8r3tpExl8XEmfQMDU3BpvDxa0fbiM7NpQrPGLQ88v289CZQ/xeF6ZVolH2Hp7G/Wupnyg0KL7XofXnz3dyx8fbWTA6hdV/mckNM7LRq3uddvWdFt7bIOTlqRRyrpqSybljenOwvthWy7zn1zAuM4qf7prOyUMScLrcYpA9wJaqNqYepJQxK1ZYn7IWYTvVqhTcf3oBr182hqgQNXvquzjt2dV8urmatCg9GqUci91FVZuJly7uzfzaWN7mt43d9uF2nC636FLz8v2uBr7bWYdMJuPBM4aQn2Dwe37tAf9sMQkJCQkJCQkJCQkJiT8Sktj1K/DDrnpA6HD40ooDAc9PzIpGrw50CdkcLr+Oa1NzY/jw2gnEhAqD/k0VgksrMyaEus5AEW3XgycRplPidkOcQUObyUan2Y5erWBIUpi4nN3p4tHv99LcbRUfe+2yMeyq7eShb/dgtjsZlxnF97dN5Y4TB1HVZqKp24pGKWd0eiQ7azqp7TCjVyvETLCFO4XPvK6slb9+sYvyFv/OcQB/Pjk/4DGny80D3xSJ9w/m1nr5kjFYHS5mP7nCr9ufl5MK4rn/tAIUchnPLt3Xb/loX3QqBReNT2PxHdN4/+oJnFgQf1yEzP/aKBVyzihMovzRU3lswfBf9F63fLhN7MBY2tjDIwv3cOeJg0iO0FHTbqaixchpwxPF5d3AwlunUJgaIT620LMfAUTq1eJ+ALCjppP5L6zl/34o5opJGay4e6ZfIP79Xxdx3bub2edxL84ZkuC3fgeajSx4cS3vrKvg6fNH8OblY0mL6i2xvOPjHWKuWbDmElkeV2ZZnw6JswbH88NtU5mUHY3Z7uTuz3Zy39e7xfLjkoYuClMi/MQ534y9H4saePi7PWJ5si/3f11ES48VrUrBfy8cie8meuGrG3C6pOwuCQkJCQkJCQkJCYk/JpLY9Svw017B0eQtOezLCz7d3Hx5ZWWvMDZ3eCKvXzbWr3Ruc6UgdvUdYGfGhFD+6KkYtCp2ezK/hiSFsblC+Psj0yJQesrGajvMnPfyOj9X110nDuKuT3YIbi6lnPtPK+CjayaQ48k78nZYHJcZhVal4EdPudfM/Dg0SjmvrSpjX1OvEyshTCve9parJYVrOaFPV7qN5W1k/+37gO9BrZRz54mD/B774JrxbCxvI/++H4N+d9MHxbKjpoN/fLeHXR533KGIM2i4d+5g1v9tFv88axiD4g2HftEfAJlMxrljUil/9FSumJxxVN7z/Q1VfLixin94HF2vrS7n/LFpYlOCbouDp3/ax5c3TBKFJF82lLfR0iOIs4nhWs7xlNN6uyt+vb2W+04r8At3X1TUyJynV/LgN0Vkx/pnd3kD7F9eUcbcZ1cRF6bhx9unkhjeu+3+7YtdAFS0mvyEYUB8v777IggdG9+9ajx3njgImQw+2FBFiUd0q2g1oVTIGeER9eLDNAGvf2ttBW+sKRc/o5c2o40HPcJwTpyB/5vvL0h+uU3K7pKQkJCQkJCQkJCQ+GMiiV3HmLoOM3vqBcHJ7gx0WmTFhBAZpDTu2x11PL64VLz/zHkjUCv9/11bKzsAxK6GIHSDW/anGcg8tYvebo5Dk8Mp8nR387pEluxp5NRnVrG1qsPvfZ9YUkqr0UZ+goFvbp7MlVMy/coMvcuPz4zC7Xbz425B7ArTKjnz+TU8snCvuOxDZwzhq5smi13jvA6pC8enibcPNPdwxZsbOffldQHfw10nDmLrfSfS2NXrXBuRGsGFr27g+ve2BCzvZUVpM41d1n6f9yVSr+LeuYNZ+eeZXD01Swwbl/BHJpPxwOlD2Hzv7KNSzvnIwr28uaaC5AgdTpebxxeX8NdTet1+3+2sZ315K7d7hM5wnYrHzg50mNV3WrhiciZf3TSZEakRGG1OHlm4lwUvrWVsRqS43NTcGFxuQTya/+Jav/c4d0wqr146hliDhgPNRs56YS2fb63l65sni8t4S2shsEwwK1YQ5MpbjUEdVQq5jFtn5fL6ZWMwaHsFa68D0ts4YkpOLJdNDOxW+c/v99Jp7s27y4kLRS4TvqPVHsfcOWP8xbAnFpeI5cYSEhISEhISEhISEhJ/JCSx6xiztE9OVV/uPW1wwGPf7Kjjto+2iffnDk8UnVheWnqsNHT5ly6qFXL+caZ/sLhX4BqSFCaKbvmJYTy5pJRr3tlMp9lOYUp4QBe+q6cI4kF+Qhh92VbldYhFUtrYI5Yofrixmp01vS6q66ZncdmkDH7YXY/D5UatkGO2O1HKZZw7NhWTzcG/fyzmpKdWsqzEPwdpQlYU6++ZxS2zcum22HnfpwPk9uqOgHXqi1Y1sE37Lyfns+avJ3D11KzfbEfFX5uYUA1b7zuR/174y/K8AFbvbxFLVbdXdxCmU4mdGgEe+W4vpwxNIDMmhE6znU6znZ/vmh7wPqc+u4p2k40vbpjEo/OHYdAo2VbVwfXvbRWXuWJyBu9fPZ6cuFC/UkGAn/c2cmJBPItvn8as/DhsDhf3fbWbh77ZIwp7GT6dI2/7aDv7m7rF+ymRetQKOTaHi7qDlN6ekB/P1zf1Cmi7ajv5Zkcdo9IEsWtbVTsPnO6fXybk4sHiPY3iY5WtRi6eIIhi93+9G6vDiUwmY6nPd1PfaeHzLTX9rouEhISEhISEhISEhMTvFUnsOsasKDm42DXNE3rt5efiRu78eDu+5pC+JVcmm4Npjy0LeK9H5vkLXS6XWywnHBRvoNgjdv335308u3QfAJdPyuCmmTm8uqpcfN27V43j3tMKgoo/Td0WatrNyGSCu2TO0yvF51QKGReMSxPvnz5c6HzoLaeyeVwmc4YmsLminVlPrODF5QcCnDApkTo+unYiCZ4SsomP/hywHv2RHKHj0onpWOwHd7RcMTmDXQ+e5Akz/311Vfy1OG14EivuniG6mo4Gt320nfN8Og/uqe/iy2213DBdKEd8ZVUZSRE6Ti8M7Kp5xZubuOH9LUwfFMuiO6YxIy8Wm6N3O3h9dTmTc2L44bap3DvXX2R+e10lnWY7kSFqXrtsDPfOHYxSLmPhrnpRGLt4QrpfN8/Tn1vDp5urcbvdKOQyEiOE7bU+SH6eL1mxobzoU7p864fbekuSW4x0mO1cOy1LfL6qzSQ6v7zYnW5OGZpITKiGshYjr3n2377Hir9+scvvO5CQkJCQkJCQkJCQkPgjIIldxxCny82G8rZ+nx+THunn2NpY3sYN723F4XIzb0QSU3JiAEiN1InLNHVZOPfldZhsgYHs2XH+A926TjM2hwuVQobd6cbqGfSWNvagVsh57OzhROrVXOdTDnjykASx61wwtntKGN1uOPO/a/yeW3rnDE4dJgR/xxk0DEkKY19jt5/bC+DH3Q3c+P7WfkWBly8ZDUCP1cEFr6zvd1368ueT87h7Tp5fF71gbLvvRB44fQgGrVSu+EtJjw7h+1uncuH4tEMvPEDu+7rI7/6/fyhmzpAEksK1NHdb+XRzNdf5iEG+LCoSOn8u3FnPq5eO4fFzCsXn1uxv5ZWVB1DIZFw9NYu3rxzn99rChxazdG8jMs/zn14/keSI3n3vkYV7uX12b3acN3D+zk920GN1EO/JpuvruAxGfqK/Y/L5Zb35fMX1XX77fGWrCYfTRWqUzu81xQ1d/H2uUPb53M/7aPDsT7eckOO33GeSu0tCQkJCQkJCQkJC4g+GJHYdQ/bWd9Htk/PTl1tn5Yq3d9d2ctVbm7A6XMzKj+M/5xTS1C0MXr0Op6pWEwteWieGzoMQRh/sNiCWF6ZF6Xl3fYX4eKxBw+uXj2Hxngae+qkUt4+xqq+DpC++ode+g/qt951IWrSe5Z5yxJl5cchkMr4IEpLd18l16rAEbpopOHeGJYdTkBjGwp31jHp4CevK/DvfPXP+iKDr9dVNk7HaXdz+8fZ+1/3B0wuo+L+5QTPSJI4crUrBv84axtPnjfDrKni0aDXaeG11meh2emttBUOSwpiaG+O33ODEMMakR2KyOfnn93s5/bnVZMboWXT7NHGZf31fzJVvb6K1x8r4zKiALptXvb2ZOz7eTofJxsi0SL6/darf8++urxSbRMwdnohCLuPLbbWc8d/VmGzCvt54CGcX4Bd831ec2lHTSaxBCKrXqRTo1Qp21HSSFeMvZm+qaGPeiGTGpEdisbt4aomQ8ecVyb387ctduKTOjBISEhISEhISEhISfyAksesYsr6PUNOXyZ5BaU27icvf3ES31cG4zCiev2gUKoVcdGokhGkpbuhiwUtrqWoz+b2HN8xao5QTqfd3KnnFrgPNRt5b35t59eqlY3j0+2J+2it0W3xswXBR5EqK8HePeHG63Ly84gA/eMLoAdI9GUZDk8PEXKNNFYKTbXJuDC6Xm68O0hEuTKvkmfNH8PyFo1hWLIhk4zKjuPzNTdz0wVa/8qtYg4aH5w3lto+2B7zP4+cU8viiEp7xlGYGY/VfZnL55Mx+n5f45cwbmcw3N08mt4/D8Gjw3M/7GZsZhV6t4ECzkY3lbVw3LdtvmYoWI29eMZbHzh5OhF5FcUM3Z7+4jrfWVpDkIy4tL2nm1GdXsb26wy+HC0AuEwTd2U+u5MfdDYTrVX45WK+vLqfH0xBiVn4cH107gcRwLWXNRlGEHoizS+sRsQDOHpXCsxf05p/9+8di0XUYY1Dz5LkjAKHpQn5Cb4fQ73cJ++I9pwolmZ9uqaakoZsRaRFi11Mv3+6sO+Q6SUhISEhISEhISEhI/F6QxK5jiG9XwmAo5DK6LXauemszLT1W8hMMvHbZGLQqBWabU+z+Vt9p4byX19PUHdhdUO9xmSSGa8UOjF7Kmo0By88dlsgN721hT30XMaFqPrluIueOSRVDtZMjA8WuihYj5768jkd/KBYfe/GiUYzNiAJ6RTuTzSEG4o9Jj2TNgZZ+SxWnDYpl8R3TOXNEMnvqu8Tw/NdXl7OitDlg+cyYEO77anfA4/NGJPGnT3ewen9LwHMghHsXP3wyKZH6oM9LHF1y4gx8ffNkzgiSqXW4xIdp/O7PfXY1cR7H0wcbq5icE+0XZm+2O1lc1Mi5Y1P5+a4ZnOvpTvjhxirqPNvhSQXxZMeG0Nhl5cJX13PAZx/Jjg3h8xsmkRsXSkuPlevf28Kdn2wn1qAJ2vDgx90NjM2I4pubp/h1fXx9dTlu96GdVJF6QSBuN9k4ozCJSyb0dmH8y+c7AWjutnLy0ASxgURlq7/Yva6sldHpkZwyNAGXWxDKNEoFBUn+ZZLBRGIJCQkJCQkJCQkJCYnfK5LYdYywOgIztXwZnxmFw+ni5g+2UdLYTZxBwxuXjyXM4+jwdYdc9+4WOs128f6C0cIgXimXofSUYSX4OFcA3G43b62tCPi7C3fVU99pISs2hC9vnMyI1AgcTheNnr+XFNH7Pi6Xm3fWVXDKM6vYUtkuPi6XwQmD41jjEZi8ZVPbqztwutwkhmsx2Rxc8vrGgL+vUyn451lDefuKseI63/nxjoN+VyDkmfUlJlTNV9v7d6xcOD6NNy8fK3VZ/JXRqwXH3s0zcw69cB98HUmNXYHiboVH7Pl6ex3tJjvXTPXP7lpUJLidokLUPLagkI+uneCXu7V4TyNf3DiZc0an0Ley70CzkdQoPd/dOoWbZmYjl8EXW2s5879rxLw739LjxXsa2VbVTqxBw/tXT/BzVt7y4TbMQXL1fIkMEZbvMAn79hWTM8TnatoF8dlid2FzuPjzyfmMSY/EbPd/zwtf3YDD6eLuOXko5TJ+Lm5iU0UbI9MiAFAre7/Pn4sbkZCQkJCQkJCQkJCQ+CMgiV3HiOeW7j/o8+eOSeXh7/aworQZrUrOa5eN8Ssh7DDZxNu+A9z5I5OZPzIZELoWNnvcXonhva91utzc/dlO8f64zCi/vz0uM4ovbphEapTgduow28WBf3SI4Jyp6zBzyRsbuP/rIsx2JxOzonl0/jAAMmJCqGk3U99pQa2QMyZdeP+tHkGsvtPCqc+uDvq5f7x9KheNT0cmk2G0Orj70x2UNHb7LdM3R6k/Wnps/T5354mD+Oe8oX4NACR+PWQyGX+ak8e/zhom/j+9WVcHw+Z0cYdPCPzBmPvsKmYPjidc1ysyrdrXgsVnf5mQFc0Pt08lx6e08uLXNnD9jGyeOq+QvmyuaEOjVHD3nHw+unYiieFayluMYq5dmFYpNlAAQWxaUdqMWinn+Qt7Oyx+t7OeC15dT2tPoGDnxevs8nZ7TIvSB932m3usqBRynrtwpFgu7MuzP+8nKzaUczxdLJ9duo+RaYLTbLBP2eOVb23ud10kJCQkJCQkJCQkJCR+T0hKwDHAYnfy32UHF7t21Xby9rpKZDJ4+ryRDE+J8HveG/Tuy4SsKP7v7OFUenK7MmJCRPdLnKfky+EUQtp9O7ClRfWW8M0eHMe7V40jQt87aPa6xgxaJQq5jJ+LGzn12VWs2d+KViXnoTOG8P7V4zF6sory4g2s9bi6RqdHovNkD/mus2/elpfPrp9IerQQor+1qp25z67i0z6d4sZlRPkF2KsV/iLCQPi/+cO4dVZuQFmnxK/PhePTeO3SMehUCnqsDj+XVX889VMpWX2aLQSjvtPC+a+sZ3hKuPiY2e4UHYdewrQqv6D5XbWdzH12FRa7ixcv8t+2nlrSm/s2LjOKH26bykkF8eJjjyzcS0Gif+nkVW9t4uvttX7dPcN1KrZXd3D2i2upbA0sJwbEfbDDs/8pFXLx+7n/tAJxuYtf24DF7iQxXMcT5wQKdM8v28/Omg5unJGNUi5j1b4WnC5h/ytu6A5ohCEhISEhISEhISEhIfF7RxK7jgHvb6g65DLeEsPbZuVy8tAEv+e2V3cEhK1nx4bw8sVjUCvlVHgGz+lRelGoCtepsDtd3PLhNr7d4V/a5yt8vXLJGDRK/7I+bxmVQaPk3z8Wc+Vbm+kw2RmeEs4Pt03jskkZyOUy9jX2AJAbb2B9mVBWOCk7GoBdNZ1s9il17EtyhI7R6ZHYnS6eXFLKOS+tE0vSvFwyIZ2++tSav57Ad4cRrv3apWM4f1zagJeXOPbMzI/j4+smEBOqprbD7NeJsD/KWoILRODfbXBXbSer9vmLWz/tDSzXUyvlFKZGiPctdhf3fLGLJX2WLWns5qUVB8TMrQi9mpcvGe0Xun/ey+vE22lRehwuN7d9tJ3Ptwr7WYhawec3TCI5QkdFq4mzX1zLzpqOgHXSeXLAfJ1oXmE6zMetVt5i5NYPt+FwupiZHyc2hvDidLm5+9OdxIVpmD9KcH1+ua0OrUqO1eHyy0877bngjksJCQkJCQkJCQkJCYnfE5LYdZQx25y8uPzAgJadkRfLrSfk+j22v6mby97wz7oK16l48/JxhHsygRo7vflaOrotglClVSq48f2t/LC7AbVCcGP1ZVhyOPIgZVJdHsGsrtMirvvlkzL49PqJZPo4bLzlhoPiQ9nhGbyPSo/kvfWVnP7fgw+ipw2KoazFyNkvruXZpfv83FsgOMR+Lm5ig082144HTsLpcvt1gDwYn1w3kdk+LhyJ44fhKRF8eeNksmJDqO+0ENGnc+jBmDYo1u/+6v0tpARppODlp71NuPoGcgGFHgfY1VMy+cvJ+WImV1/+74di7vp0h+hOlMlk/OXkfPH5Op+mC3edNIjLJ2UAvQK20eYkI1rPlzdOoiAxjJYeG+e/sp5lJU1+f0flKbH1dUGmRgmfq6rNFJA19ufPd+JyuXn9sjEB61zS2M1zS/dz08wcFHIZK0ubsTuF72B/Uw9zhyWKy5Y19wS8XkJCQkJCQkJCQkJC4veEJHYdZT7bUk3LQXJ6vKRE6nj6vBF+4lNDp4VLX9/oF0YP8NwFI0nzcXN4uzLGhWno9nRs/Md3e1iypxGNUs6rl41huc/A2tvVLiY0MO8H4Ptd9eLtUI2S5y8cxYNnDPFzgLndbvY39XjeRyMGaL+2qox7g3RJ9OLNGKppNzP32VXsrAleRrWtqp1aT0dIgOEp4YTrVEx4dGm/7+3LG5ePCcgmkzi+SI3S8/n1kxieEk6Hye4Xnn4wVpY2s+rPM/0e825/YVolD55e4Pdcc7eV7UGcVLnxQn5VeYuRG2Zk8/aV4/oV3b7YWsvV72zGZBP2L2+XUqVcxgn5ceJyt320nXvnDuauE/1zxrotDuLCtHx83QSm5sZgsjm59p3N/Li7d1/zfn6b01fsEvbz6jaT+Px107JQyGV8sbWWxxaVkBUTii/ZsYIg/eKKA3RbHJzicYp6BeXSxm7+ekqvWPev7w/eJVZCQkJCQkJCQkJCQuK3jiR2HUVcLjevry4f0LIvXjQ6IDfrsjc2+rlGvPR1tohil0Er5v0AaFVy3rh8LGXNPSzzyc+6zOM8ifKEz/vyzroKv9ysb2+ZwtzhiQHLdZrt9Hgyu3zFuGUlzfQ1i3nvJ0foxPBtITg8MMfLS18jzrtXjR9w+eKDpxdwQr7k6PotEBmi5t0rxzM0OSxorlt//O3LXX45Vl66LA4yY0P57pYpfo/Pf2FtgGic7XEpekskp+bG8u3N/q8DQVzSqRSsLG3mwlc30G60iWKXw+Xm2QtG+i1/2ZsbuXhCOnfPyRMfe3xxCQAGrYo3Lh/LacMTsTvd3PTBNr7xlBmLYpfP95AQJpR4ehtPAMwuiOexs4cD8NKKA3y2pYZB8b2C14FmI7MHx+F0ufn7V7u5YnKm3/odaO4RRTQQnG/1nWYkJCQkJCQkJCQkJCR+r0hi11FkaXFTQA5VfwzzCdW2Opxc885mShq70fRxu3hLpHxp6hIEsViDhr31XeLjL108mroOMw99u0d8bEZeLG2eroW+zi6H08UDX+/m/q+LxMfOHJHkV7boi9dJExOq5tPNveJYiFrhJ6LFGjScMlQQyxq7eoU7uQz06l6nmDfry4uvUDAuIwq5DG7+YFvQdfFlzpB4Lu8zuJc4vgnXq3jvqvF+Qe+HYtW+FhRymd825OWyNzaSGx/KmSOS/B4//bnVFNX1OgmzYgWBqKrNJApMqVF6LpuY7ve6l1eW8d7Vgutre3UHC15aS7fFIe6b7UYbj/sExa/Z38rZL67l9OG9f//9DVW8vEIoCVYp5Dxz/kjmj0rG6XJz+0fb+GxLDZogZYzRocK+1NJjxashu91w9ugUMWj+b1/uorxPplm4To1Bo2RHdQclDd2MTIsQn/Puu38/dbD4mLfkUkJCQkJCQkJCQkJC4veIJHYdRV5bVTag5XwFLLfbzb1f7mZjeRuhGmVAtzplH9uUxe6ky1O6+OaaXhfZjTOyMduc/OXznQBi0LtBq6LV466K9ohdXRY7V769mbfXVQKgUwkCQohG2e8613lKDFt6bH4B4KFapV/Z5hPnFIq5Ww4fu9ageAMmmxDEPXtwPGsPtIrPvX/1eNaX9d5/6ZLR/Ov74n7XxZcXLxo9oOUkji8i9Grev3o8+QmGAb/mgW+K+t1GZz+5gmm5/g7IqjYT819Yy6ebqwGhnFevVuB0ualq6xWls+P8ywIBXl5RxntXjScxXMuBZiMLXlyL1SNKdZrtpPpkhiVH6ChrMTL/xTV+7/HoD8W85dlHFXIZjy8o5IJxqbjc8KdPd/CxZ71c7t79JNpT9ut1RPpyx+xczihMwuFyi3lcXr7eXsupnlyuxxYVM39ksvictxvkqT6OzZdXlPkF40tISEhISEhISEhISPyekMSuo8T+pm6/cPWD4euwenONUEYol/WGuCvlMsZmRAKgVPj/i3xLsz7cWC3ejtSrufWjbbjccN6YVDH43uAjRkWFaKhqFQSAlaXN6FQKXrp4NFdPFZxRqiDh9V5887R8aeyyolX1rqNSLgvILFMpZBQ3COH2E7KiWLO/t3teYUo4o9IixY56erWCmnYTH248dEfLDX+bFTRwX+K3QWSIIHjlxQ9c8PIt7/Olus3MXZ/u8HtMLgOrw8Xdn+3kni92YnW4ROeib0h7X4EZhED4B74p4vXLxpLtCdX30mW2kxguvEanUvDFjZMY7Ami93KSp1HCQ9/tEbujyuUy/nXWMFHsbuwSPovKZx+P8Ti72ow2+kbsy2QyHlswnFE+ri0vDpeb8lYjgxPD6DDZ2VHTKQreLT02rA4nyRE6Bvu46RburA94HwkJCQkJCQkJCQkJid8Dkth1lPh4U/WhF/KgVwvulFX7mnlkoVByeN7YVH4uFkLl756TJ5Z4qRT+Yo43N6sv//x+L3anm7nDEvnX/GHicgatEqPndm27mfkvrmV/Uw8JYVo+vX4iJw9NEB1YCnnwzcHhdPmVRvoSa9Dw2AKhpEutlHPhaxsClrE73chlkBsXyobyNsw+jpIrp2Tyho9D7ZnzR3LGf9cEvEdfXrhoFPGefCOJ3y7RoRrev2Y8uUHcVb+Ua6ZlcdeJg5DJBGF4wUtrxZysMp8yQG8TBV/CtEq2VLZzy4dbeeb8kQxN7hWJtlS2ExkiBNub7U7CtCo+8QTRe4k1aLh0YjpuN9z5yXZR4JXJZDxweoGfu9O3S6P3fR0ut+ju8tW7tSoFr1wa2I1RrZSzsbyN6Z58vy+21oi3Aeo7BLFulk+4/rvrK4N+bxISEhISEhISEhISEr91flNi16OPPsrYsWMxGAzExcUxb948SkpK/terhc3h4vOttQNeXqdWUNlq5OYPBCfWWSOTKarrwmJ3MTU3hmumZiHz2DLcfewdq0p7g+evmJzh99y4zCiePK8QhVxGt0VwgIVpVWL51VM/ldLSY2VwYhhf3zyZoclCbpjD0w2ur7AGQtnkje9vDfo54gwaPrp2gpgt1F/guEohIzVKz76mHtxuxG5xMhlMHxTLfxb1/g+veWdz0PfwZf7IZLFkS+K3T0yohg+umdBvXtyRsqm8jVtm5fL2FeOI1KvYXdvFtqoOAMqbe8WucJ1/R0aFXMZH104USxivensTD50xRHz+iSWlNHZZxP2l3WQTg+i9vL+hisRwHacOS8DudHPdu1vYXSvkh8lkMr+w/cpWEys9+7VGqRDLir0uTp3Kv3QzJlTDVVP8c+oumSDkji0qamD24HhcbqjwEfT2eLL9ZuT1CmDbqzv8Mv8kJCSOLW63G4fThdXhxOpw4urbmUVCQkJCQkJCQuKo0X9I03HIihUruOmmmxg7diwOh4O//e1vnHTSSezZs4eQkKM7UD4cftrbGDRjpz8UMhk3f7CNTrOdEakRpEfr+XJbLWFaJY+fU4hcLhMH0nZnr4BU1WriQR+H1Z9OyuPNNRXi/ZcvHo1GKQyUzZ7OhzqVgqK63gHtmPRIXr98rN8Av9fZFegiu+btzazzydPy5ePrJpIZE3LIrLK0KD0HPOLCfacVEB+m4YfdDQxOCGNzRftBX9uX5AgdD5455NALSvymiDVoePPyscx+coVf1tsvYWtVByabg2mDYvnu1qnc8N4WdtYIgtPHm6v59wKhw6HvvqCQy3C63Bi0Sr64cRKXv7GJksZurnt3K6lROqrbhHLeC17dIOZmtRltJEXoUCnkpEfrqfQ0qfj3j8XcPDOHiVnRrCtr5fI3N/HljZNIjdIjl8u4YFyaWK577bubee+q8YzJiEKnVvi5H4OF8s/Ii/Xr/JoVG0J0iJryFiPTcmNQymV+zTJeX13OqcMSGZEaQbhOJQppX22v9Stt/D3z6KOP8sUXX1BcXIxOp2PSpEn8+9//Ji8v79AvPoZUt5m4+7MdNHRaCNEoSYnUMSjeQHyYlpp2M609VkqbemjstGBxODHbnLgRju16tQKdWkGUXk2sQUOsQUOcQUN8mJa0KD3p0SHEGTRiubfF7qS+00J9h5mGLgtdZjvdFgfdVgfdFjtdFgdGqwOnyy3+uNxuHC43LpcbhVyGSiFHrZSjUQq/1Z77erWSMJ2KMK2SMK0Kg1aJQasiTKckXKciOlRDiFohTuQcz7jdbrqtDtqNNtpNdtqNNtqMNtpNwk+X2YHR5sBsc2KyCf8Tv/t2Jw6nC6fbjcsl5PI53e6AySsQyq2VCjkquUz8fpUKGUq5HJ1aQYhGSYjPb71GSahGiV6tIFSjJEKvJipERaReTVSImsgQoVnFb+F7Pha43W5sTlfQ79r7lciQIZMJsQt/1O9J4vA4Xs8fEgLeY3Zzt1X86bY46LHa6fGc43osDnqswo/J5sTudGF3ChMQTpcbu8uFwylkorrcbuQyGUrPcVkuB6VcjlwmXCcq5HJ0KuG8p1d7z8XC7RDP7VCtkgidcGyO0KuI0Au39b+R8+ChcLrcdFvsdJrtdJkddIm37XRZ7JhtLiwOJxa7E4vdhdXuxOpwCfcdTqx2Fy63GzeCscONcKP3vhsZwnhYrZSjVipQe26rFL7XHgoMPtccwm8lBo1wO0KvIlynOu6+c5fLTZfFTofJTofZTofJRqdZ+A47THZMNuG7s3q+K+G7dOFwuVHIQC4Tzl/ebVKnUvReg+mEzx4TqiElUk9qlE6sKjuWmG1Oihu62Fvfzf6mHqrbTdS0m2kzWjFanSjkMjKi9dwwI5uTh/56ppXflNj1448/+t1/6623iIuLY8uWLUybNu1/tFbw1baBu7oAnv6plLpOCxF6FXedNIir3hLcTIIQJJTmeXN8bB6xq8ti54q3NorvMSg+lD9/tlO8/8blY4j0KcfyzhgvKmoQH4vQq3j3qvHo+gyenUHErtYeK1e8tYmdNZ2EapQB5ZNTc2PIjAlhW1W7X3ZYMA40G5HJ4F9nDeOCcWnc//VuQHCiXT0AJ5cvT5xbSJhWdegFJX5zZMSE8OG1EzjnpXUHXW5IUpifgOvlrhMH8cHGKr98rQ82VHH11CySI3R8fO1Ehj+0SBSpXlpxgOumZRHmI3YZtEo6THZqO8xMyIrmo2sncOFrGwIcUL7ZYb5Ct8Pz3icWxLNkTyP/Xbafyyam02G2s7e+i6vf3sznN04iVKPE7TMas9hdXPX2Zr64cRLaPh1Z9ZpAscvQZx/4+5e7ueeUfB79oZhvd9Yzb2Qyn23p7Zq6pVIQlZUKOROyolhUJDSZ+GZ7HX+Zk/+HyL47XidL3ltfyfqy3rzHorou8f9zMGwOlyhalmE8xNLHFwq5jNhQDdGhakI1SmQyUCsVaJRyQtQKFHI5ZnuveGSxewSkgwjhCpkMrUpwRmpUcvG2ViUXLwLDdSrCdCocTjcmmzDg8YpUrT026jrN1HdYaOmxHjXR/VC43ML/cuDTZYdGKZcRGaImyiOAJYRrSQjXkhiuJT5M+J0QriUmRHNc7Psmm4PWHhstPVY6vAKspe/v3ttmu3Dxb3MKAyib04XVIfz05zAPhlwmlIZrlML24n9bTphW5Rmkqgn3bD8RehUROmHwGh+mJTpEfVx8hxLHluP1/HEoeqwOatpN1LSZqWk30dhtFUUf7z5l6Wef0SgEwd07qRLiEXMMWqV4fIkMURPtEdkj9eqASfOjhd3poq7DTEWriapWI5WtJqrbTTT5iFvWw9j3/5eoFXJR+IoOVRMfpiUuTEO8QTg+x4cJE1axBg1aVeD137HEYncK32eP1U849L3f0Gmhocty6Dc7jlApZMSEaogJFSYFY0LVnt8a4gxaUiJ1pEbpidQfHVHM5nBR2yHsc/WdFpq6LDR2WWnsstDYbaWpy0Jz9693neFLcoSOmfmxzMqPZ1R6JGFaJY1dVipbjVS3m6lqM1HTJuxbbZ6Jvk6zXRAm3aBRykmK0AnbbJiW9Cg9xY3d7K3voqLFyKE+0o6aTm7/eDs78uNEg86x5jcldvWls1NwaURFRfW7jNVqxWrtHZh2dR3dsp1ui53lPqWFwQjTKsUOigB1nsH4fxYU8uSSUmxOFzPyYlkwOkVcxit22Z0uXC43d368Q3RHAZQ29lDa2Buy7Q3M9uJwCQd939D8d68MFLpAmK0Q/pawhdZ3mrn4tQ0caDYSFaLmuQtGclGfLK7pg2JZVNTAbR9tEx/Lignxy0LyIpfB4+cUMn+U8Pk2etYpWFbSwbhwfBoTsqIP6zUSvy3GZkTxzPkjuO2j7f0uU1TXxbwRSXy1vc7v8d11nfx4+zQKH1osPvbIwr2ckB9HVmwoOrWCz66fxJnPC5lw//dDMdVtJh46YwghagVGm5MQtUfsahccXJEhaj64eryf4DU2I5Jui0NsulDa2M00Tz6W92LrzhMHMTYjkn99X8zb6yo5bXgizd1WShq7ufPj7bx08Wi6PceEv5ycz+I9DWyr6uCKNzdh6tMlMdhsjEEb+Nje+i7RWRapV4mfyUtZcw9ZsaGMzegVu+o7LWwob2Ni9u9/vzrcyZJjfe4obezmsR+L+Wlv06EX7oc5Q+KZPTgei8PFl1tr2Oop0z0SRqZFMDErGqVCzt76LvbWd1HTHrwxyS/F6XLT0PXbumDOig1hcGIYsaEawnTC/uU7m69TK9CrBAeWVqVApZAhl8mQy2UoZIIzQCHzugSEi2mHx1Vgd3l+O904RHeBC7PdickqCHJGqxOj1eG57cBoc9JjcYhus3ajnTajTRQFvQOTg6GUy4gP05IUoSUtKoT0aL3nJ4T0KD0Rv+DC3+Vy02q0Uddhpr7TTH2nICIKopYgbLUarbR02/ycrL8mLjeYPIIq2A+5fDBUCpmPgKgTfodpSY3SkxUbQlqU3q8JicRvk+Pt/BEMl8vN7rpONle0s6Wqna2V7X6Tf8camQyi9GpRWE8M1/ndTgzXkhShE7NTg+F0ualoNbKnrouiOuE8VN5ipLbDLE7MHwyDRimKGOF6FQaN4LAK9fw2aJSEaJTo1UrUSsFBq5TLUHoctSq58Nvr8hd/3IK72etytrvcmG1OzHZh0sRkFY4jJrtDvN1t6XXsdJgEt47NKYj0Td1WmrqtcIh5rQi9SjyepHocOmlRelKj9KREHr5bx2xzUtthorLVxI6aTrZVtbOtqqPfPOjjEZVCRrhnwiFCp/L8PxXIZTLRpe47OSK4+NyCq/0Q+0OIWiF+t4IjSk9GtJ7cOAMpkTq/iY0Ok40DzT2Ut5iobhPE15o2M9XtJhq6LEHdxccDtR1m3ltfxXvrD90ILhg2p4uSxm5KGruDPh8TqmFwooG8eANp0cJ2G2vQ0GN1cPXbm+mxOkgM16HqJyf8WPCbFbtcLhe33347kydPZujQof0u9+ijj/LQQw8ds/VYurcJm8NFrEHT74Vlt+cgolLIREHpmqmZ1Hea2VbVgUGj5F9nDfO7qPSeDOwON88v289PextRK+VcND7Nr3TRS9+LxWDOgJAgDhFA7KZosTtp7LJwwSvrqWg1kRSu5bXLxvLgN0UBr9la1c6/vt/rp+AGE7pkMnj2gpGcNjwJEA4OXpHg+WX7g65PMCL1Ku4+SbKL/xE4c0QyWyvbeXtd/wHqS4sDBYI1+1sxaJR8dv1EFvi4w054YgVr/noCyRG6gKYG72+ooq7D7Ol66hRFpDqf7qNewWvkw0sA2FTRzgfXjOfCVwUB+JGFe7lgXBohGiVWh7AfapRyrp2WjUap4IFvivhuZz2j0yPpMttZvKeRp34qpcMseDkSw7W8eukY5r+wlqo2E77IZIgZXr4YNIGH7q+21zF7cByVrSY+3VLD/FEpfiH03+2s59ZZuYzJ8J8c+HZn3R9C7OrLoSZLjuW5o8ti5/xX1h+y/F2nUhxUCFhU1NivCywmVM3o9EjCdSq0KgU2h4seq4Ombiv7GrtpN/kP7rdVdYiZdsFQKWTEGYRZ56gQjSDwqASRR6MSSgoqWk1srmj7VQdYYzMiSQjX0WESRJRjlUNX1iy4CRLDteKFcEqkjhS1kqgQNRnRIcSHaQ4qDrlcbtGFZHMIgx6bw+fH6cThdIulCV6XUTRqQTiTCeV3Cnmvi83rZNMo5ZhsTlp6rNS0m8WL78pWE2XNRvY39wS4nhwuN7UdZmo7zGwaQKSASiFjcGIY2bGhKOUyGros1HaYaTMKg7lfgkYpJyZUQ4TepxxFo+xTmiL8DtEo0CgVAeW0GpVCLG1RegYl3ksUr5NWvO8Cq6csxLfURvgtOAm7LQ6fshKbWG7SabLTZhIEO7vTTU272SMMB36HSrmMtGg9WTGhZMeGkBUbQkFiOHkJhqCD/r7OitYeG10Wu1BmbO4dwHV5flvswkDO5nQJZVkOQTy1O10oZL1lsWqFUPqjUsowaFRiyWuUXkVkiOAuyYwJISsmhFjDwbdjif/t+aMv1W0m3l1fydfba8Uuz8HIjQtlQlY0USFqDD4CkEapoO9/243gTjHZBCelSSzZdtBldtBmsonl3W2efcPthlajjVajLaj7HoTJ78RwHRkxetKiQtCpFDR0mWnqstJjdVDVZvKIz4FolEJUhFeYT4vSiw6oOI/AFWxC/3jB7XZjsjnpMAul8R0mOy09HrdPl5XGbn8HkNXhEkUy77ipLzGhalIihUmK7NhQsmNDSYrQ0tRtZX1ZKytKmylrPnbOb5VChkGrQqsUjr8KuXDu8paKyz0TPd6SO7fbjc3hEktIvbfF82E/Jei+2J1uWnqstPT4b+tqhVzYFsI0ZMWEiNu3WiHH5hS+y4pWI+XNRnFc3hejzUlxQ3e/3/eviW9URYhaKbosvZNsaoUchdy/nFHu+Q3QYrSxuaLtoMeEo8XQ5DDmjUhmaHI4CWFawnQq0SXncrn5bEsN//phLz1WB2FaJU+dN+JXdUT/ZsWum266id27d7N69eqDLnfPPfdw5513ive7urpITU09auvx3c56QMilCiZ2eV1derXC7wB+5ZRMTnpqJQB3n5xHUoS/M8trXf1hd724Uz5y5lCafXbuc0ansL26g31NPVh83nuxT+kiIJYh9nfx4v1bNe1mLnhVELpSInV8eM0EHv5uDxsr2gJe8/0u4W+cPzaVpcVN/Qp9L188mpOGJIj3fS+oD8dy/OeT8/3KNCV+3zx4xpCDil3dlsATVY/Vwd6GLkanRwY8d+ozq1hy5zSiQ3u3oUfnD+Ohb4tYVtLrzJR79pEOs//ALTJEzTmjU/jUUxp420fbiQ5R0+oRK65/bwuvXzZWHEx6BzGXTcpApZDzty93saWynbQoPVVtJp77uVfoDderiAnV8OYVY5n/wlqxNA3otyxA2ccp4D3ObChrI0StoMNkR9mn4cRCj9g1JCkMrUqOxZPrt3RvI+55Q/9Qg5uBTJYcy3NHUW0XbUYberWCL26cRF68ARDOJ7d82OuWdePmzhMHcdbIZByeGe9XV5ax9kDwHEVfWnpsAUJYcoQwKzxnSALhOhUrSpsHfFE3NTeW0emRjE6PpDAlAp1aENBW72/mp71NLC9uEl3LvsSEasiJCyEzJpSsmBAyY0LIiAkhJVKHy+2mpdtGs+fCtaXHSlWria1V7QMSX8B7Tul/2RC1gtkF8aJI09dt43K56bY4aOq2eGbbLTR1WcWZd2HwYaGuw4LN6fIRNgLPi/1h0Cpxutz9DuJ+K9idbnbWdIrZh78UpVxGTpwwQEuJ1HkGKoIzylvKc2zLeH5ZJILd49Bo6LTQ0GmhvtPs+W2hvMVIeYsRs91JWbORsmYjP+09+Pv5HpePBg63G4fLGcS0dnDHZohaQWZsCIUpEUzIimZ8VhRxBqn7tZf/9fnDS7fFzn8WlfD+hirR9WTQKPsdyO9r6qG8xciQpDBGpkUyKj2SkWmRJIVrf/H53+F00W6yC2VuXYKTs6FTOG5679d3WDDbnaLAvoZDn8fOKEzilKEJjEyLFPMnvflcrT022oxWuix26jvNGD2lmUaPG7bHk9NlsjmweVy0DqdvNpeQf+R11YI3j6s3B0nuceN6byu9Ew2eyR69Wih/9ooQwm3BaSTkVaqJ9JRCh2kFV1mIRklynzFfX9xuN11mBw1dFuo6BLdQdZuJ6jahzMzbdKjF45TdXt3xi/5/AJkxIRQkhpEWrSfCU7YdrlMRrlcRphUcVN5oAG/J99G+bnS73eJEg5D95S/wd5iESJAdNR1ihq4Xm9MlblvHO3nxBiblRBNn0Irbh+/vcL3qsEr8rA4ne+u72VHdwY7qDrbXdPQrciZH6BgUL5x3e6wOtld3/GJxb3dtF7tr/QXuvroHQEFiGC9ePIr06F+39Ps3KXbdfPPNfPfdd6xcuZKUlJSDLqvRaNBoNMdkPSx2J6v2CQPlpAidmIvjizdzy/cffvecPJ5YXEq3xcGQpDAuGp8e8Lowj8PEW/544fg05o1MZtC9P4jLPDxvKOe9LDhYvLP/y4qbuOmD3u6Jj509nEd/EK6wnK5+6vI9A/Of9goDo+QIQeh6YfkBFu/p32N7+aQM7p07mI/+/kPQ5zNjQvyELoAN/YTdH4zClHDOG3N0LxIkjm9kMhlFD81hyAOLDut1c59dTcX/zWVyTjRr9vdua51mO+e9vJ4vb5xEVIiaNqONkWkRfHjNBK54a5PoSrB4nFld5kCXQnRo73Gkr7i7al8Lf/l8pyjg+s7YXzg+DavDyUPf7qGqzYRSLvOr04/wZIZlx4byyiWjOe+V9eJzMaHBBV5FnwuMKyZn8nNxE7tqewehfbMESxq7qWk3kRKpZ1hyuCgmNHZZ2V3bxbCU8KB/6/fIQCZLjuW5Izc+FLVCcOJsr+ogP0FoEnB6YRIz8mIZ9qBQimuxu3hySSkvLN/PmYXJ9NgcbPY5z+QnGBgUb6C529pvIxFfvBeC/S2bFK5lel4soRol7SY7RXVd7GvsxuFy83NxEz8HcVT6olLIGJIUzqi0SEalRzAqLTJgIqcvadFK0qL1/T5vsTtZsqeRz7bUsOIQkQHBMNqcfL29jq+31xEVoubMEUlMyIpmSFIYyRFCWUK45+Iy1yM6ev9ueYsgUpS39FDVZmJXbdcROceCifN/BNRKOYnhWkw2J51me1Bn2aFm0cN1KlH4ijNoxTKe9GihxCQ29H/nQlIp5CRH6MSBq90jhpa39IhOwM2V7QPeZvoKXYWpEcSGqj2hw0LwsNfd5g0g1qkUgmNLIUet9Dq5hIYHLjceB4UwmLd7nBONnpJSr3Ok1WijvtNMeYuR6jYTRptTHLy8v0EodcmKDeGUoQmcNTKFnLjQo/tF/sb4X58/QHBzXfL6BrERzdTcGC6ZkM70vFhWlDRz7btbxGXHpEdic7o40NSD0eZkR00nO2o6eWttBQDxYRpGp0cyMSuaSTkxZMWEHPY+pfS4amINGgqS/JveVLeZ+HF3A9/vrj+oezgY3+yo45sddYde8DdCmFZoKuLNAozQCS7LuDCNR+QXhP64MC0alRyX243Rk2m49kBrv465w2V0eiRTcmIYmhxOQVLYURE8jxZWu5DPVtlqosKTz1bRaqSuw0xTt/W4LQ88HEoauylvMTI40cDwlAjGZESSGx814HifTrOdLZVtbCxvZ1NFG7tqOkW9wZe0KD2FqREUpoRTmBpBXoJBzL2uaTfx4cYqsanW0SDE46w0ivEA/rx39fjDjjA6GvymxC63280tt9zCl19+yfLly8nMzPyfrs+6slasDhdJ4VrM/czY9h2UArT22MTw6IfnDQ3q3Aj1KVMakRrBA6cX8MTiEvGx7NgQMVAVBLFr7YEWrntvizhDIa5Dn0yuvviWySSEafngmvF8uqWGDzdWIZPBzTNz/JwoIJRh/u3UweKFUDCunBL4/3ljTXmQJftHJoN/nDlUCoD9AxKiUfLEOYXc9emOw3rd1W9v4qSCBD+xC6C8xcilb2wUywKbu61MzY3lg6sncOqzqwDEmZDOIGKXdxM8dVgCO6o7xdmj/AQD+5t6+NJHXNIo/GdkrpicSbfFwZNLSgMCKX1nb8b3yaTzzeXzW5c+1S8Wh5PHFgzn9OdWi+/fbrKjVsr9BpjLSpq5ZEI6gxPD/JwzS/Y2/mHErsOZLDlWxIRquHFmNk//tI97vtyF3eXmkgnCpIdBq+K9q8ZzyRsbxIs6i93Fx5t7G4HIZPDRNRMYlxnld4HaZbGzdn8rK/c188FBjs39UddpERuOxBk0jM2M4qyRSejVSkw2B08sLj2oI3dKTgyTc2IYnxlNQVLYEYcVV7YaWVzUyNLiRrZWdQSIJAlhWsZnRTE8JYKMaD06tYLmbisbyttYuLM+6P4LQjOJN9dUBEQBeAPb9WoFbjdUtpqo6zQf8qJarZST4HEiRYao6Lb0Bq23HkaH5oMhkyF22IwOURMVIgT7C7fVnvwwJXqN4CyQIcNiF5wNXWZhdrzD3NvlqbLVxIaytqAXxoeLRik/6PZgc7hoN9oYnhLB0ORw8hMM5MSFIpNBp8kudLr0dKBqM9o8rhChlKehy4LF7hLXu79jIQjlHl7xKzMmhJy4UAbFG4gOclHtdXJ4S0iNVic9Vrunc5uQ79JbZuPqLRH0lts4XdS2mylt7DnmWWO17WbSo/RMy41ldkG833XhwXC7hdLKvfVdHPCItWXNRrHk1Ps/k8ugICmMf84bRmFqBCD8z6raTOxr7GZjRRsbytrY29BFWbOR55cd4PllB5g2KJY7TxzECM9r/kgcD+cPs83JZW9sFONGHj+3kEnZMeLzJw1J4OF5Q/nHt0XYnW521XZy2aQM3rh8LGabk62enKYtle3sqe+iscvK97saxIqNhDAtk7IF4WtSdvQhJyyC0dBp4ctttfywu/6oOUEHwpj0SHLjDYRqFIRqVIRohBxFQRD2ZHQpZH1u95Y9u9xunC4hO8zt6aLr7UosPO7CYneJXXfNPmWeZs9j3tudnmNvh9Euuu26LA66LA6qBm4MPiZsqWwPatAAITZmSm4sQ5PCMGiF79CgFboqe0PeQwZ4LOoPu9NFZauR0sYe9jX2sL+5h8pWIxUtRr+M62CoFXISI4QsuKRwHUkROhIjhMkQ77nR2/3Z7RYidrZUtvH9roYjmjAD4TycEqkjMyaUtCidJz9NKKPtsTqoaDEe0lEFgpkkTKeirsNMp9kuCs/vrq9EJoPClAjmDktk7vBEv/2uqcvCxoo2NpW3saG8jZLG7oDrk6gQtShqCQJXhCgstRlt/LSnkUe+28OOw9wf5w5PJDVST0KYhoRwLWUtRh77sSTossZDuNf//UMx/14w/LD+/tHgNyV23XTTTXzwwQd8/fXXGAwGGhqEA3N4eDg63eEfjH8pKzzlT9Pz4ljZzw4kDyJ2eQWf88akMiotsOQK4E3PjAvAfy8cydbKDl5ZVSY+luGxAHovfjZXtPP5lhpsDhezB8cDbn7a24TV4USl6A3D7UuXxc7TP+0T73947QS2V3fw7FLhsYfPHEp2bGiA2PW3Uwezp76Le7/aHXT9QVCUfdlT13XILg1evBlo549NFS/CJP54zB+VzIPfFAW15Y/PjPJrwODlp71NYtMFgBl5sSz37Ku+F13ezKKCpDDR7eVlf3PgwMo7cI8N1fD2lWOZ/aRQhlzc0M2/zx7GXz7fJS4bGiRA/pYTcui22Hl1lb/g+8zSUl6+ZIx4v2+3yQPNPWTH+s+k9z2u2B1uBieGcc20LF5cfkB8vK9IsKy4SRS7+j5+54mDAtb598TxNlly6wm5dJjsvLW2gvu+2k1RbScPnD4EnVrBlNwYnjl/JHd9sj3oJIXbDQ99u4dLJ6ZzxogkMaQ2TKvi5KEJnDw0gbtOHMToR3464vVr6raycGc9Cz2l+sHIizegUsoorhfcX8tKmsWyYINWybiMKMZnRTEhK5qCxLCA8tvez+OmqK6LxUUNLCpqDAg+jTNomJgdzcjUCHLiDIRoFLR5smFKG3to7bHSabZjd7qYnBONzeGi2+Jgb33XIS+cgUMG184eHM/Q5DCxm2FCuJZ4gzYgwN3tdlPXaWFXTQc7azrZW9/F/uaegHKLgRCiVjBnSAInFggdk/rmDQ6EHquDXTWddNTaqGg1saumMyAXsC8KuYxIvZqoEMFNpFTIxHKkvgLZQKIIuiwOVu9vYfX+Fr/Hw3Uq8hIM5CcYMGiV2J0u5DKhDMtt0KBTK2nuDsxlCYbZfvzkrBxNWnqsfs6W6BA110/P5oLxaeK1n3eb21rZzu7aTnbXdbK7tqtfwdcXl1soP7n/myK+vmkyIAi4OXGh5MSFcsowoTV8p8nOin3NfL2tlp9LmlhZ2szK0mYuGp/GvXMLjuucpKPF8XT+eGttBWUtRhLCtHxx42QSwgOPDZdMSGdiVhT3fVXEurJWXllZxnvrK7l8UgbXTM3izBHJgCCc7azpYHmp8P+t83Ta+2JbLV/0cYeHaZWMTIsUxxQC/tciq/Y1/0+7Im6ubKe0sZuCpDCGJYeT5SnHTY3SHRPnktvtpsvi6NNtTyiFb+yyiI1KBIfWb6OMvd1k59sddXx7EEedTqUgxqAm1iN+xXgy02JD1cR6HLipUXpC1ErKW3ooaeihtLGb/U3C7/IW40E7ESaEaUmP1pMRHUJ6jJ70qBBSo3QkhusO2gG3pcfKtqoOtm6qZltVu1+n619CmFZFYUoEU3JimJkfF3A+nu5pUgXC8XJnbQdbKztYe6CFrVXt4nWc112fn2BgZl4syZE6LHYXa/a3UNzQzfbqDrZXd/DP74WKrKgQNSEaRdBriIxoPWMzohibGcW4jCjSo/XIZDL2NXbz9roKrnhz04A/X2K4lgWjU8hLMJARHYLREybfbXVQkBjGTTNzcLrcvLqqjKeWlAJC1dWrl46hy+LgoW+LWLXP/xwfqlHy9c2TyY4N5Ydd9dzw/tagsUi/Br8psevFF18EYMaMGX6Pv/nmm1x++eW/+vosLxFKOsZmRPLhxuCz6L6D9KHJYWJNa6hGyZ9PDh64vr6sVexYCMJM/12frBNbflo9QX6AmEHktSOPzYjkvxeO5K+f7wQER4B3kO5w9b1QdXLdO71W51iDhh6Lgz9/Jrz2+unZXDwhnUte9+/EODYjkuZuK1e/vTno+ntDlX3FrrLmHtE9cygKEsPYU99FhF7F3XPyB/Qaid8nMpmML26cxImefDtfNpS3MXd4YtDB+I8+uXXVbSYeO3s4f/bsE14sPrPyefEGv9KusmbBMu07s+I9McvlMnLiDIzLjBL3021VHczMixUH+nvruxia7O+Ukslk/O3UwfRYHaJ7BoSQ8a+21TJvpHDx2ff8f927W/jqpsl+s/p9r9m8+/Zts3L5fld9v7bkn4ubsNidAWJXUV0nnWY74bpflmFzPHO8TZbI5TIeOL2AqBA1T/1Uykebqtlc2c4T5xRSmBrBGYVJROhUXPrGRvE1V0/JxOJw8tmWGvbUd/HXL3bxz+/3cs7oVC6ekEaWjygaHaph1Z9nct27W8R8j6NJiFpBcqSOSdnRjD4zEpvDxdaqDjZ5Zh+7LQ6WFjeJzSRCNUrGZkR6MoCiGZoUxr6mHr7YWsP3uxoCcjZ0KgUpkTpiQjW43G42lrfx9fb/TTnLT3sbxTJ/EM6BufEG3G43DZ0WUXhrM9r6zeUK16kEESE2lOw4wX1k0KrosTrY19hNcX03u+s62d/Ug8stzJD6DjjjDBqGJYczMk0oDy1MjfCbXbfYnRTVdYlC287aTg409wR1p6VF6clLELoleQWnjJiQg3YNdLncNPdYqWk3ibllpY3CxfmRlEF0mu1sLG/zu9b5vaCQy4gJVRPtceHFhmrQaxSYbULgt9f5YbIL+UIdJltAw4hgtBpt/PP7veJA6GCoFDJy4wzkxoeS6cnKS48OER2B9Z0W5r+whi6Lg9h+yuW9hOtVnFGYxBmFSVS1mnhm6T4+31rD+xuq2FPfxVtXjPtdnzvg+Dp//LhbuOa548TcoEKXl5w4Ax9cM57lJc08uaSUXbWdvLD8AC94JsSyYkPALUxsDKQbX5fFccTOmF+TLouD9WVtfkJHpF7F8BShnGt4SgTDU8MHlEPndrvpNNup8snLqmozUePJ0PI6UI81mTEhRIWoaTfaqOs0D/hvJkcIzQAyoj15mdFCAwrfrLJOs51tVUI53EBdP2a7k+o28xFN5HhRK+QMTgojNy6U3LhQMjzrlxalH5CAbne62FvfxdbKdrZVd7CitHnAjVIUchmDEw3kJ4SRnyCcB3PiQkkI02K2O9la2cGG8lY2lLWxvbqDTrOd73bWizndQ5PDmJUfz6nDEslLMPi9d7hexdTcWKbmxnLb7FxMNgcby9tYe6CV1fta2FPf5Tc5kxkTIkwIJoXxxVZ/gbnNaKPNYxQbnBjG+MwoQeDKiCQuTIvJ5uDzrbVc+sbGQ05k+RKqUfLuVeMYlhze7yTkQ2cO4c5PdvDqqjLmDEngr5/vFGM05g5L5PFzCtla1c5LKw4ECF0gTLa9taaC+08vEF2EKZG//rU2/MbELvdxVKhb22GmotWEwtO6+1BEhagZFGcQxa7rp2f5ZQB56TDZuOPj7eJ9uQz+/uUu6jotpEfrueWEXP706Q5xoO4b3podG8Krl47xBAcKjwvOLmFD9lXRXS43f/p0p98A3+Vyc927m7E6XMzIi+XuOXl8sqk6qFp7zTubg86Enz0qhc+31iCXIeZYNHVZuPi1DQHL9od3JvfOEwf9T2p7JY4vcuMNXDYxPWhg/YOnDzmo8wTgQLORc8emUtkmlGF4eW1VGed6suC8grCvYHXBq+v57PpJxBqE/dTkuRgM8bhoJmZFiwO1jzZVMys/Tnzva9/ZzDe3TCGmzz4uk8l4ZN4wvtpW51cC87cvd1GYGkFmTEhAtt7+ph7+8vlO/nvBSHFm0trnQse7b2tVCv45bxgXv97//ratqsOv/MTrattU3sbsgvh+X/db53ibLAFhe7h1Vi5j0iO5/ePt7G/qYd4La7h0Qjp3zcljf5O/w/C11eVcPimDZX+awXc76nl3fSVVbSbeWFPOG2vKxdyWE/LjUCrkpEbp+eLGSTyycE9Am+lFt0/z5HA1sqWyfcCuWy9Gm9MvxysmVM3E7BjmDInngdML6DI72FDeyvqyVjZ4xC9f59ehMNud7GvqYV+f70CtlBPjKVOI9ggKMZ5cI6Vcxu66Llbvaz6keJAVE0JegoHs2FCMNqG5w0BFwU0VAwvQ16kUzMiLZfbgeMZkRJISqQ9a2jkzr/fYYbIJjrSdNZ3squ1kd60ggDV1W/3Ew4GSFK4VB3fDkyMYlhxOuH5gwoTJ5vAIW8JAz/u72iN4DcQ9dKxRKWSiqBQdqvFsG2p0KgXtJqE80tvxrK7TEuB2PVyiPV0Mq9tM/TpYnC63x+Xh70oL0yqZkBXNoPhQ0qNDROdCcoTQrMG7vq1GK21GG01dVspbjHy1rbbf0PH+WDA6hZFpkYxJjyTTJ4PJ7Xbz4+4G7vlyF10WBzGhGv5xZv8dzfuSFq3niXMLOWtkMjd9sJVtVR3c9ckOXr109HGT+XMsOJ7OH95r74LE/qMHXC43JY3drC8TjsH1nYGiRN9yK51KQVyYhthQDVEhavRqBU437K7tpDxIt/UjIT5MQ1KEDqfLTbvJv8TvWNJusrOitDmoWDcuI4qxmZHEhmpoNdqo7RAaTbT0WKnvtAwoc9GbLeh0uSlvMR72+RQEw8HoNKEJzIi0CLE7OAjdDTVKOTpPCL5WJcdkdVLdbhIFuOq23tt1HRacPt12fWM99GoFuXGh5MQZGBQfSm58KFdOyeTvcweL+7DNIQhJXqfR9uqOo7YNeLG7XEKZvafLrdHqwO50BUzmejFaHWytamdjeRvLS5r9MmoPRnyYhqFJ4eR7xK3BiYJ7qT+RR69WMiU3him5Qmmwxe5ke3UH68taWV7SzI6aDjHT8Jml+8iNC2Xu8ETOGpkcNHhdr1YyIy+OGZ7zfGuPle931fPwd3uxOV1iM5NDERWi4oT8OHbWdHDnJ9uP2EGZFRPCN7dMOWRZ/BmFSTzwTREdJjuzn1wBCOP/e+cOJkyn4rxX1onVMgq5jDMKk7huehapkXqeXFLK66vLeXd9pV9X+Csn/28csb8pset4YrPHijckKYya9kOrqXfPyePvX/aWOV01JSvocvd/XUS9R9iqbDXhcgsduhRyGU+dN0K8uDTbhVyJd3wEgLeuGEeEXhCHtCphJ7Y6XGJGkdHnhPLoD3v5dkcdSrmMv56SzyML94oZI1kxITxz/kiW7Gngr1/4u2GAgw5W3J7G3onhOtRKOWabk2ve2Ry0S1cw7jkln0d/KCY5Qsf5Y9MG9BqJ3z83zcwJKnZN/r+fmZUf5zcAjNCrAmZ33G43d52YR2WrSZyZKW3sYUVpM9MHxYoD0LyEMHH7rmw1cekbG/no2gmE61SiY0OvEfYnb/cjmUwoK/Ndh7pOCze8t4X3r54Q0F5eIZfxl5PzePDbPeJjJpuTP326g0+um4jR2iuC3Tgjm1dWlrFwZz3Tc2M5d6wgznmD9L04fMqLpuTGcPKQBD93my9r9rcwMTuaOIOGpm4rSRFa2ow21pW1/q7FruNpsqQvk3Ji+OG2qTyycC9fbqvl7XWV/LC7gSZPI4T7Tiugus3EW2sreGttBUuLG/nHmUNZ/qcZrNjXzHvrKvm5pIlV+1pYta/Fc/xM5dyxqcSHaXlk3jBOH57k1/zgzk+289dT8rlhRjbtRhvLS5tYureJFaXNQS/u4wxCTkdDpyVoVlFLj82v9CErJoTpebFcMjGDZy8YyZI9jdz20fYBfydxnqDjgsQwcnxmfSP7lA5aHU5WlrawcGcdy0qaAwSYvHgDE7OjmZAVxaj0yAF3lWvpsfLZlhqeXFJ6xAKJ2e7kh90N/LBb2BfVCjlp0UKuVFZsiKc7ZSjZsSHi5JderWR0ehSj06PE9zHZHCwvaea1VWVsHUDAs0Gr5MrJmZw5IolwnQqrwyU4wh0uKtuMWJuEDCo3iO3YDzT3UNlqorbdTEPXwM7X4D9A9gZUx4T2/na63NS0m9hS2c7SvU2/KCvslKEJnJAfR3KEjvhwLTGhGsK0yn5FFq/braiuk101neyuO7wGA95SmphQDWE6FfWdZg4091BxiBKc/uiyOA7a9Odo8uHGaj8HcTAKU8J5/qJRR5TJNCU3hveuGs/ZL67lp72NrNrXwjSfUp7fG8fT+SNSr6ap20pdp9kva9Nid7KsuImFu+pZs78lqOCfHKEL2q2uMDWC22flMn1QbNASMbPNyZ76Lp7+qTSoi8MXmUwYFHvPI4+fU0hzt5VmT7fb5m4rzWYrZpvzqGQH/lI2VrQddnlVTKia4SmCu3ZvfRf7m3p+sfjf3G3lx6KGfq/d+qKQy9D6CGA6lYJQrZKc2FAKUyLoNNs937nVL6bD5NOkoO9nGpoczvDkcOF3SgSXTkznkgnplLX0sLykmbfXVQzIzaVWyDlvbCoTsqJRKmTUtptFR5zXJWf2NIEpbzH6Oae9XXqTInQYrQ6MNgdFdV0DDqYXsrWE82tqlFDa5+3Kub26wzO555vFJuSxqZUydCqhk6ZO3dthU6dWEqVXc8rQRC6bmOGJbGhicVEjK0ub2dfUw9M/7ePpn/YxPjOKc8ekMnd4op8Zxelys7Omg5WlLaza18z26o5DnkOm5saQER0iikVr9rcGZBEHIyZUw4Xj05iRF4vZ5uTh7/aILrKpuTE8d8HIAeU/rjnQ6nctWJAYJlSPLdvv6UgtVJudPzaVq6dmkepTzXXfaQVMyo7mKp8KsIvGpzHTxxTwayKJXUfIZs+s7uj0yIA8q2AoPZ1xQHBrBbNoLi5q4JsddSjkMp67YCTnvbxeHFTcNCObUWmRrPO0nDfbnPzjuyLxtaEapd+GpvHsZBa7kwjPLK73QPzaqjIxN+g/5wxnSk4sjywUbPF6tYJXLh3D7tpObv1wOy63MGMx0IO4y/Mh06L0HvfYDnbUdBKpVx1ypn1ocpi4XjefkBMgEkj8cYkL03LpxHQ/cReEbqdTc2P8hKYOk52puTF+F2RN3Vbiw7T8++zhotgFcON7QolgMLdFTKiavfVdXPP2Zt65apwodnmdXXbPRdrVUzJpN9nFphMKuQy9SsGminb+9f1eHjxjSMB7B9sXtlS289qqMrosvc/NG5mMQavi3z8W88A3RYzOiCQ7NjTAwt73nHnPqfn8XBx8YPnfZfv505w80qL0gtgVrmN3bdfvspzot0R0qIanzhvBgtEp3PvVbr+ZvvQoPVdNyWT6oFj+9uUuqtvMXPHmJk4dlsD9pw3h9cvHUt1m4v0NVXy8qYraDjNPLCnl6aX7mJkXx4XjU5k+KI4T8uNEJ1ZRXReXvL6RKTkx/OXkfM4amcJZI1Mw2RwU3B/YBbWp2wrdVjKi9cQaNIRqlJhsTrZVBwbIgxAKW9ZiDAiDHyh6tVDGODwlgonZ0X5lUi6Xm/XlrXy2pYYlRY1+zoAIvYoZg2KZmR/H5JyYAHflweiy2FlZ2syy4mZW728OcOb8UmxOF/ubegIceyAcb/I83TXzEwxEh2jYU9/F4j0NAS29D0W3xcEzS/fxzNJ9h174FyKTCX+vus10RG6Gw8ErHF4wLo0Fo1PIjPZ3LFW1mYS8Fk8A9976rqADiqgQYVA31JPrkxCuZUtlO59srvYLwm/wBOX/XtlR08mj3xczb2QyU3JiDjt7a1hKOBeMS+XtdZV8vb3udy12HU+Mz4qipLGbb3bUMWdIAuUtRt5eW8HnW2v8Bqc6lYIxGZFMzI5mfGY0gxMNYr4jwK6aTl5ZVcb3u+rZUd3BFW9tIj1azyUT0jlnTCpmm5OHvi0SxfqB4nb7d6D90wCbDOnVCkI1SgxaJaGe7qN6tQK1UoFKLkPpyb/qNNvFRiAtPdYB5TIebVp6bIfsTnwo5DJhckMwJxzcFel2u7E6XJjtTnGi1ekScsCOVhZYS4+N5SXNYsbtoQjXqVDIZWIwvy82p4t311eycFc903JjmJ4XyxkjcsTzsdvtprnbyn6Pe3tfUzebK9opbugeUJfeg+Etsz+UKHuk6FQKsSPwOWNSqOswi9mcGzwB8o8s3MPM/DgyokMoaexmzf6WgEn4lEgdk7NjmJQTzcTsaJRyOY/9WMxHm4RJCu/k5UDWZ3ZBPDPzYpk2KJaYUA27azt5bFGJmCceqVfxl5PzOXdM6iEbvpU19/B/PxQHTMyUtfSI7vcIvYqLx6dz+eSMoNdYTpebrVX+7vexGVEBy/1aSGLXEeKtWx2THjWgi/nPt9aIt31LFrx0muxi2Pu107IYnhLhd/C4+YRcoFckO9Bs5ICPBTk+zH9j86q23RYHkR63V4fJzg+76kVhyzvA+dSny9eDpw/BaHVw7TubsTldnDwkgVOGJQx4Rt57YZkerefpn0pZuKselULGvXMLDtlVb+6wJP79YzGpUToWjP7fdLmROH65bnp2gNgFBJ29npAV7XeSuPbdLXx902RCNEomZEWJWQ5Gm5Mr395ElGcf8bqaQzVK3r5yHOe/vJ6NFW3c9P5W0TKs9+yDXiFJpZDzyLyhotjldLn55/xh3PrhNt5aW8Gk7GhOGpLgt37emdW5wxNZXtwkXqw8vrjEL5A8LUrPddOyWL2/mTX7W7n1w218ceMkv7wx7zr4kh4dwhWTM3h5ZW9Ti+mDYkULv83hIi1az+bKdjH3r7ihC6vD6dcdUuLXZ7LH5XXzB9vE2c6r39nMCflx/OmkPH66czpP/1TKG2sqhO5CJc3cODOHq6Zk8tdT8rl9tpDb9uHGKjZVtIt5U4nhWrH8ZWpuDLlxBt5dXyGEh/93NScPSeDWWbks3iMMbAxaJd/cPAW3283PxU38tLeRTRXtVLSaxHb3sQYNpw1PFEt9t1S0D2jG0pe5wxK5YFwaKoVMyLTY38L26g7P36nivfVVyGUwPCWCwYlh1HaY2d/Y7ecWTgjTcuqwRE4ZlsCotMjD6gJZ22FmcVEDS/c2sb6s1W/dNUo54zKjmJobw8SsmIAOk83dVrZUCtkw76yrGJDYU5gaQbwnM2VjeZuYldPSY6NlgDO3xxOmflqMDxS1Qk5cmIY4g4Y4gxaHy0VdhyAytfXT0fLDjVUBOan9TcrFhGoYliyIWkOSwxmSFEZ9p4WFO+v5bEuNmF/0W0SjlKNRyn/RYH/hrnoW7hImgKbmxnD/aQXkxhsO8apeJmbH8Pa6yqBNXSSODeePTeOddZUs3FnP/saV7GvqFo89yRE6ThueyIkF8RSmRhw0h29YSjjPXTCSP8/J4621FXyyuZrKVhOPLNwrjhOOBScVxHPOmFRSInUYtEoMnq6J/ZWVDQSXy01pUzebKtpZWdrMkl/JQflLSAzXkRShJTFc6CaYEqknI1oIY0+K0Pb7fdidguhl8XaEtDs9HSId9FgcdJjtdJhsYnmgeNsk3G4z2X5xzphKIeOqKZmcPDSBnNhQ5HIZdqeL3bWdguBT1sqminbajDa+2l7HV568zaHJYUwfFMv0QXEMTjTgcLlZvKfhqJ33wrRKDFqVj2iq9NxWEaJWoFDIUMhkKOSCcKqUy5DLhft2hwuT3ZOn6JOtaLQ5xG7B7SY7ZruTksbugEY6vrSb7AH5Wwatkik5MZ48rxjCdCo2lQuuwv/+vD8gsuFQxBk03HHiIDJjQuixOOg023licUnQMdGotEjRwRiiVhKmUxIdoiHZxwXXZrTx9NJ9fLypWhRUfbHYXeQnGLhicgZnjkj2c6750tRl4Y5Ptgf8T59Zuo8zCpMOKbYdCySx6wgw2RyUNAjqZt/Q9/7wDUpsDtJd6OGFe2jqtpIVG8Jts3JZ69O5aO6wRNHlFNJn5m3+qGS+2FpLbYcZt9stznJG+rQbjfEMRLz1xgCXTkzn+ulZVLQYefCbXodYuF7F5W9uxGhzMjknmmcuGMGP/czqKOQyZubF+dlPvV3iNla0iXkA/zxrGA/4/I3+eM3TbfKWE3IPeoKW+GOSHKHjvDGpfLzZ/0Be0tiNQaP0c3f8Z1GJX4fEHdUdfLypivPGplGYEuG3P/qGbPrOeg5JCuf1y8dyyesb/Jxj3mW83U1VCjlalcKvdHBRUQNXTcnk9dXl3P3ZToYkh4sZdgCVrcK+cVJBPPNHJotWX1+hK1ynEk8mT547glOeWUVRXRePLyrh5KH+4plaEXjyuOmEHD+xa1xmlCh2/VzcSGpkrxPUW/pZ2tDjVxYh8b9Bq1Jw08xs8diqlMvEfKxThyVw26xBnDUyhb9/tYttVR38Z1EJ762v5E8n5XHWyGTmj0ph/qgU9jd18+HGar7YWuOXsbhqXwunDU9k8R3TeXbpPr7aXhtQPvHPs4aRGSPkT2TFhnL11Cw6zULuyZI9jSwrbqK52ype0IVqlMzIi+XGnBye+3nfgEsOluxppMtiZ0ZeHPNGJnPHiYPosthZf6CVNftbWLW/hbJmo5gb0pdnzh/B6cMP7wKqvtPM97saWLizLqAsMCs2hNmD45mWG8uYjMh+L+hAEPtOHprIyUMTefCMIZhsDrZWdrCurIUPNlQFdXDuCPIZ/sjYnC5xJv6X4Ct0zR+VTGqkngi9isYuK19tqx1wVtzRYHJONKmRelIidaRE6kkIF0rF99Z3HbIS4MwRSVw9JQujzUFlq5HyFhMVLcL239dlZnW4SI7UccaIJIYnR5Aapee5n/ex9sCRDRxX7WvhxKdWIpfBmr+eQGL4ocsbvYOiIKcgiWNEQVJvgxnvgHtmXixXTM5kSk7MYQ8mU6P03HdaAacMTWDBS+uO6roGY/GexqDlvIMTw4g1aAjXqYgOUQtNHkI1RHty+LzZfKEaJVaHSyxJ21TRxpbK9qDl933F7rx4QWApaxYcRVsr2w87B/FghOtUjMuMYkSqsD82dQmdfhs6LdR1mqnvsNDUbcHl7u3MB4H5j0q5jJRIHWnRIWRE68mKCSE7LpTs2FASw7WEaYVuuYfC4RQamtk8ZexWh4vmHiuLPY2RjtS5ane6eXJJKU96OvN5GZEawezBcZwxIok5QxJYvb+FH3c3iJNI3qwr3/zco0mXxUF+QhgnDYknIzpEzDfTqRVE6NWE6wTR60jzBa0OJ/UdFipajVS0GFlU1OiXfX0wJmVHM31QLOWtRj76oMqvO/yR0NRt5Z4vdh16QfjF2/iJBfFcMTmDiVnR/X53brebTzfX8PDCPXRbHOjVCv7v7OGckB/HhH8tpbzFyO66ToanRPyidTkSJLHrCChuEGZRYg2agAO2XBZYUtSXxj4Hl1X7mvlsSw0yGTx29nBACKz24tttxfetT8iP49H5w/h6ex0Wu0ss1QIhRBWg3WQjJ07o0OW1Intn7+xON7d+tM3PAnvdu0J3xuEp4bx8yRg0SoU4qO/L304djNHqEAdkkXqVWNrlFbpumJGN0eo4ZKcXhVxGq9FGerSe+Z6udBISfblhRnaA2AUEDTh9fXW53/2/fL6LgsRwscQ3GF7XljefY1xmFC9cNIpr390iXtR7l7GLzi5vt9Pe/WThznruP62AwpRwdtR0cuuH2/jo2gmoFHLcbrdYKpMTF8qQpHBum5UbUHKU79PhJT5My38WDOeqtzfz2urygIvZYOJw3wshbzcUgEd/KOaaqUJuYGuPjWHJ4aza18LO2g5J7DpOyIrp7az48XUTeGttJd/trOP7XUIp12nDk/j32cPZU9fFfxaVUNth5q5Pd/DGmnL+dupgJufEkBNn4L7TCrh7Th6Lihr4cGOVKPT+5fNdxBo0LBidwksXj2bhznq+8Wk1/tW2WtKi9H7NDMJ1vV3ZrA4n68vaWFzUwJI9jTR1W/1KhL28cfkYHv5ub78BrDanS7TrP/zdHlFsmpUfx3lj02josgQEKfty20fb+e/P+5mRF8vMvDjGZEQFLYE3Wh38sLuBz7ZU+4ndMplgrz+pIJ5Zg+NFge9wsNid7G/qYXdtp5DlsadxwGLfsSZMqyRMp0KjlPu5wX/P9J1RP9rIZELpSH+Otqo2EzGhGhq6LOyp7+L7XQMvA/t6e11A11G1Qk5mTAhDk8OFiAi3UCJSVNdFWbPRs38E7wgOwvXVkjumUdth9gw2O9la1R60yRAI17ATHxXyMB9bMDxoMyUvmzxZR7lxA3eDSRw5LpebB7/1nzxOCtfy2mVjD8vR6qW528qD3xYdstHPr8He+i72HoXVOHlIAvNHJQsu2n4aiCWGazHZnGytbEetkB+17DCXy43L5UatkJMTG8ppwxIDrtccTheN3VYaOs3UdVio9/yubjOxr6mHqjYTDpdbdFEH9iIPRCYTHM52pxubwykKXMe6tLwv/U1K/ZocKoNNKZcRoVcRrlMRoVcToVMRrlcRoVN7HlMRFaImPkxLfJiG+DCt36RXdbuJFaXNLCtuEl3uA2FRUSOLin4dx+HswXGMSo9EhgyZzL9I1mhz0mW2c6C5Z0BlkldOzuT+0wsOukxVq4m/f7VLfL/hKeE8eW4hOZ7zwtiMSJaVNLOjukMSu34reANOY0M1/LDL/8h8sAPLn04axOOLS2nutuJwulAq5FgdTh74WjhxXTYxgzEZUTz9U6nfDuRt6+1wuvxC7v8+dzAapYLkCB1VbcLsn/fA7i1dbDXaCPXp6JEWpee5C0aiVMh59Pu97KzpJEKvIkKnEv9mYriW1y4dI5ZCvrOuIuCzzBuRxJWTM3h2ae8sZVKEjhKfGus5Q+K5cnImY//5U/9figevuHDrCbm/yMos8fsmIyZEbN5wKHyzV7zc8uFWTsgXQtjPGZ3C9uoOP+uwt7uL7248a3A8/1kwnDs/Ecpwl5U0MTM/Trw48m6v3tLEKTkxrN7fwr9/LOaFi0Zx+0fb2VLZzpNLSvnLyfk0d1vpNNuRyyA7VhA0bpuVy46aDr+sBEMfsWrW4HgWjE7hsy01vLyizO+5/vLtfDOafi5uEsX4ylaTKIi3Gm2My4xi1b4Wdg+wu43EsSdcr6IgMYw99V3sre/muQtGcvPMHJ5ZWsr3uxr4dkcd3+2s46SCeJ46bwRbq9p5/uf9FNV1cdFrG5iUHc0dJw5ibEYUWpWCM0ckc+aIZN5eWyE6bZu7rbzoKeManR7p9/e9TrIJWVFcPz2b6YNi/Wb0NEqFpxwhlovGp3Pqs6uCfo4r3+oNKF0wOoXrp2ezsrSZVfuaWVfWGlBOUdZs5JXmMl5Z6b+NT86J5s4TBzEyNZI99V2sKG1meUkTWyrbxa6Nr64qJ0StYFJODDPyYpmYFU15i5E31pQHLZOYPiiW2QXxROpVOJxutle3s62qHbdbOAa43ULLFRmIeTGtPTbWHmjhp71Hzw1wMBLDtUSHqqlsNQ2oK1hfuiyOo5Jpk59gYHR6JKPSIkmN0ov5Ogq5DKvDhdHqoN1ko6XHRnF9l9hJ8mjlyRxPuN1C+aZCLiNSr0YuQ2wmAf5u4SMhPkyD2y2IqN1WBzany69sZv6oZD6/YRImm5N1B1r4dHPNQWfunS43f/l8J29cPpapubGez+Cmpl3ImFlR2syKkqaA7WRpcROjH/mJa6dlccP0bLFiwEu3xc6X2wRh8aQhv9/mJscT//p+L++sq0Qmg6m5sazd30Jdp4W/fbGLR+cPO6SryzvZtnBnHc8OIG/4YJxYEM+F49JEt1WoRolWrUCtkKNSyFHIZbQZbVzwynpKGruJDlHzwkWjCNUqeXttBZ9srjn0HzkCgoW8z8yL5ZRhiWiUcpbubWLxnoaDlvIlhGmZMySegqQwvtxW6zdBcjC6rQ6/rrlKuYw5QxMoSAwjL96AUiGjpccmBvY391hp9ob2dx95/pjbTb/i9W+V+DANc4YkkBUTIl6TeyeRHC4XFrunnNPupMfiYH1564COuw6XW4gN6LEBv3wCyKBVcsmEdE4bnoTN6WL1vmY+31r7i7tXymSQFK4jOVJHSoSOpAih3HV/U0/Q+KR5I5K4cWYOgw5Rht5lsfPWmgre33BoR1pyhI4/n5zX7/NGq4MXlu/n1VXl2BwuNEo5d544iKumZPqN5b2Ngfrmlv1aSGLXEeAVuwbaptzL1VOzeOqnfThdbpp7rCSG63h9dTllLUZiQjXcedIg6jvNvLRCGHxcMC6VDzdWU+bJQvjvsv1+7c6tngN1erReELtajYzPigYQc3jajTa/QcOrl44hQq9mZWmzWOL077OHi44u7zJxHtFsW1V7QMcOgEfnD0cmEwIjvSSEaf0uuJ46bwQ3vb91QN+Nyy107zpzRNKAlpf44/LKJWOY8/RA5roCqWg18cYawfEVrlPx4sWjmPvsajGPqz9HwJkjkkWx6511lZxRmESP56IkxCMK13q6st53WgH//H4vK0ub+c+iEv4xbwh3fLyDl1YcYGZeHFZPJ0WvxRpALpfx9HkjGPGPJeLf9C0P9nLf3AJWljb7DayAfnO27H1mK/MSwsTjl9dt2dpjJc9zcjzQ9MdwfvxWmD8qmT0Lu3h9dTnnj00lL8HACxeNZk9dF88u3cePRQ3ibOHknGj+NX8YWyrbeX9DJWsPtLL2wDqm5sZw++xBoph12aQMdlR38IVnkFqYEs6u2k4/5x8IFzkNXRbWlwmZVPkJBq6fns3c4Ymik9DtdvPe+kr+8Z3QWTRCr+LB04cwNDmcJXsa+WBjpd/F52dbathW1c5JnnywFy8ezZbKdlbua2ZlactBO+UJnYjWMSQpjJFpEYRqVOTEGdCqFH6zk0abkyV7GgeU2dJfK/rjifpOy/98ECPzNNWJM2iJDFEhk8GB5h5qO8zUdXhLc4ROay09tqB5H78VhqeEkxEdgl6tEPPIui12uiwO3G43RpuDdqOdHqsDp8tNS5BYiiNBrZTznwXDOaMwyU9Udrrc1HWYKaoTmhV8vb2OL7bWUpAYxoy8WFbuE0p9D8WminaGPbiYdfcI5YkymYzUKD2pUXoWjE7B4XSxrqyVb7bX8ekWfxHilZVlvL++krtOyuPSieniIOaZn/bRabaTFRvCjCBZtBJHl2UlTbzmcaw/cU4h80elsHBnPbd8uJWPN1djc7r4v7OHBVwPuFxuttd0sKiogUW7Gw7pRokzaBibEYUbt58r8dppWRxo6mFZSRMut1CCvrmijbNHpXD+uDRx3OBLVIiaD64Zz8Wvb2RvfReXvbmRJ84ZwWMLCnlsQSHbqzuY9/yaI/o+okPUqJXyAR0fl5U0H7KUOUKv4pzRKZw8NBGr3cl7Gyr525e7xeOZWinnpIJ4pg2Kpdvi4J11FYeceHW43CzcWX9YzjmFXIZBqxRKFXVKsWTR4Ans7zDbaemx0tRlpaHLckSTIAdDLhPKP6NDNYTrhLyrDpONA83GfnMUjwWNXVbeWVdJTKiaiyekM29EMhkDdF57O0wvLmpkRWmznwtXIZcxfVAsYzOi0KsV1HWaafScZxu6LNR3WA7L6ddtcfDC8gNHJf9xZFoEV0zOJDs2hKyYUL+mIRa7ky+31fZ7zRKhV/vFk/Sl02TnjTXlQRvXqBQyzihM5sLxaby1tkLsqj05JzpolIPL5ear7bX83w/F4nhkck40D585lKzY0IDlO8zCdmPQ/m9kJ0nsOgJKjqBDxLwRSWhVQnepylYT5S1G3G54zuOMuueUfMK0Kh74ugiL3cWY9EhunZXLhxurqWwzsfZAC8/22UC9B52M6BBW7WvxO4FFiWWMfdqwJxhoN9rEgfvFE9Jo9hk4q5VyhiYLZUwWuzNoqPx9pxWIO6DKR+zyFbqePm8ENe3mw8rJuH5GtuTqkjgkeQkDK5e4ekqmeGEYDJVSTk6cgbtOGsS/vi/2e67vYK3vgOa6d7eIJ4BIvYouz2AIhA4rj58znFOeXkVxQzc7azo5d0wKn2yu4e7PdnCOp/lCbrz/CSFCr+ai8Wm8v6G3HGVxUYNfuH24XsW/zhrG1e9s7vPa4NkNfS9MfMWENZ4BUmuPjaxY4QKi7BfOREkcXS4Yl8bzy/ZT3mLknXWVXDklExAyW166ZDT7m7p5cXkZX2+vFdtSF6aE86eT8jjQ3MMXW2vFEsEZebHcMXsQhakRPHDGELZWCWHzcrmMn++awY9FDfzfD737QW2HGaWPS6C4oZvbP97OfxaVcPXUTOaNSOahb4vE4NnZg+P41/xh4gxeTlwonWa7OHkzNTeG9WWtHGg28uLyA7y4/AAKuYxhyeEMTwlnVFrEQcUuL0V1XRTVHd5Ek8TBUSvk/H3uYM4enYLL7aaixcjCXfW8uboCm9OF2w3bqjrY1iffrD9kMogOEULnYw1Czo7V4WJvfddBS1KPB3bWdP7iLJUjweZw8fbaCtYdaCU33sCg+FDy4g3EGjSiKHXy0ASyY0P5z6KSgBDx0emR3DQzm5l5cchkMlp6rPywq55vd9T7lfRMfPRnzh+byuWTM8hP6M1+UirknuDkWO4/vYAnFpfy1toK8Xmjzck/vtvD19tr+c85hTR1WcWJo/tOKziiEjqJgeN2u/nPjyUAXDE5g/mjhOuIucMTcbhGcOcnO/hyWy3VbSZeumQ0MaEaajvMfLa5hk+3VB8yEy8rJoR5I5OZPTiewYkGZDIZ+5u6/cSuH3c38NR5I3h43lA+2VzNx5uqqe+08Nrqcl5bXc64zCguHJfGyUMT/AbI0aEaPrluAjd/sI0Vpc3c9MFWtlQKDVUe+Hr3EX8nrUYbajVCBBEAAQAASURBVKWc8ZlRTMyOZmJWNCPSIrDYXGwob+X7XfXi+WkgdJjsvLqqXOwK3xebw8V3O+uDlusfTbRKORE6FfFhWhLCtaRE6kiN1BMTqiFUKwSvh6iV7K3v4u11FQN2nfXH7MHxnDQknrx4A/FhWmQyIVtyW3UHu2o62VTRdkSOHI1Szt1z8kiO0LGxoo0vt9Ue0fu09Nh4+qd9PP2TMAYenhLOPacMZlxmFAq5DKPVQXO3lTaTjXajjTbvj8mGQatkdHqk34SY0+UWnevHG9VtZpYVN7GzWu1p3KJFpZCzeE8Di4p63YgGrTJA5HzLc/544eJRYtUICIHxzy/bz9tBGnxlROu5eEI6C0anEKFXU1TXyc8+E+194xjcbjfLS5t5fFGJeB2WFqXn3rmDObEgPmiel9vtFktbD+U6O1ZIYtcRcKhZkbQowWnly7ljUwHhhFLZaqKs2cj766sw252MSY9k/qhktld3iJbw+08vICFMS4hagdHm5MJXNwDCTH9Dp4W1B1rFAbhX6a7wGah6yxh9USlkuFxu/vHdHlp6rOTGhTIrP95v4DzYR0h4YnFJ0AtT3ywhpTy4ODU0OYzZTw7cfROpF7JgJCQGwgXj0gK6cfXl7pPz/MSulEid3wWf9/ZVU7ICxC6v08uLN2cvTKskJVLv5+qM1Kup9bxXhF5FiEZJiEbJ4+cUcsVbm3hzTQXPXjCS1ftaqGw18fhiIdAz2EG/r8h27btb2POPOX7B+bMLAstFwnXBxa7GLuEYUZgaERCM7b0INNocYk6R0MbbPqDgU4ljT4hGyZ/m5PH3L3fz+OISpg2KFTMYAXLiDDxxbiF3nJjLqyvL+GhTNTtqOtlR00liuJbzxqbS2mNjyd5GsaX41NwYbpiRzeuXj+Ws59ewraqDv3+1i9cvG8sbq8tp6rYyJCmMylZT0KzF2g4zD327h4e+3SM+du/cwVw1JTPgQufH3cKg4OxRKQxOFFxYvo4rp8t9XGR8HA4GrZKJWdGE61To1QoONBtZ3Y+zJlKvYmZeHPmJBix2F1VtJhburA9o0/6/xuZ08cA3RQNqJNMfl0xIZ97IZFIidUSHqDHanKwvE5oMfLez/ld1BPxW2VrVEdAwIVynYlB8KGlRIexv7vE7jstkcOLgeK6aksm4zCi//S8mVMMlEzO4ZGIGdR1mHvq2SMyL+WhTNR9tqmZ8ZhSXT8rgxIJ4v4lGg1bFg2cMYWVpc8AEyI6aTk56qvfa7rwxqUE7jEscXQ40G9lT34VaIee2Wbl+z505IpkIvZqbP9jK5sp2xjzyE6lRwvXOobIDpw2K5cYZ2Yzvs/0AYjOFlEgdbreQRXfuy+u4eWYOt5yQwy0n5LKitIkPNlTzc3EjG8vb2FjeRvg3KuaNSGLB6FSGJochk8kwaFW8ftkY/rO4hJdXlPHGmnJRLP0l2BwuoftfeRtPE+hY+S1itDkx+nQ9/iXEhKo9DjEVLrebTrOd2nazX8ast2Pz0WDeiCRumJHDoPhQv+3plGGJPHD6EIxWB+sOtPJzSRPLipuOyLW8s6aTC15df1TWdyColXJsjqOT6XYoWnqsog5wMEakRogC3qTsaM4ckcR/FpVQ0tjNGc+t5pnzR5IZG8JN72+lOIhB59RhCVw8Id0vcH5/Uw+XvbHJL3rAdzvZXNHGYz+WiJMnoRolN87M5qopmQft4r6+rI3GLit6tYJRfeIyfi0kseswMdkcfk6oWIPG7z7AXScN4raPtvs9ZtAIg8es2FCWlTTz6ZYadlR3IJfBP84cCsDDnlKQ+aOSxQC3rNhQMUcoPVrPP84cyv2emRBvRlCuZ/Dju0H7don0Hm/sTjcfb67my221yGVw95w87v5sB06Xm/wEA8UN3VR6RLotlW39umJ8z4eqflrw+HYDmjssUWxt3R/njU07aNcrCQlf7jk1/5BiV7fFwUsXj+L694RS2vGZ0dS095ZnfLujjv8sGN5v58/dtZ2iy7HBc0LOjAnhxYtHc8Z/14hic7hOJYrbKZG93atm5sdx+aQM3lpbwSPf7eGB04dw0we9Zb2+s+pelpUEzjT99+f9/PnkfL/H+uaWhQdxdtmdLlqNwjo+fd4IZj6+POjndLmFMkjvsays2egXSi7xv+WCsWks3FnP2gOtXP/eFr68cVJAnltKpJ6HzhzKLbNyeW99Je+tr6S+08L7G6rQqRRMzomhx2JnR02n6PQqTI3ggvFpvLO2kjX7W7nyrU0khGtp6rZy6cR0zihM5seiej7dXHPI7m5L9zaxv6mHDpOdlfuaA4K7P996bLJZfg3UCjnjMqMI16sweHJpOsx2luxtDJilVsplXDwhnbNHpTA0OQyrw8VX22p56qdSUXg+GNEhagbFG8iNDyU+TOvJ01RjczpZVdoilp4ej7y7vpJ31wfOHP9RCNUomTU4jlFpkXSa7QFdyo6UTrOdTRXtfhEWXs4sTOLMkcnkJRgO2l0sKULHy5eM4a015TzoI1J7RYKMaD23nJDLmSOS/EQvbzOXJ84pZFFRQ9AOeg+dOeSXfDyJAeKdYBueEk5EkMnsabkx3DQzR3TnesvHhyWHi2MIXxLCtDx69rB+hcqWnt6GIy9dPJrUKD0PfL2br7bX8czSfSwqauCfZw3lhPx4TsiPp77TzKeba/h4UzW1HWbeXlfJ2+sqyU8wsGB0CmeMSKK4vpvGQ4gbF4xL46opmXSabVS2mli1r2VAg//jheQIHSEaBXq1Ep1KgUIuY1dtp1+32F+T3myqY8d107OYNyKZcJ0KtVKOWinH6slv6ntcCtEomV0Qz+yCeFwuN6v2t/DG6vLjOk7g1xK6Dgdfp5oQWdF7jWa0OQOqP7z86aRBnDs2VXTge9nf1M0Fr26gpcdKfoKBLrOduk4LhSnhbK/u4Nml+0QnnFop59IJ6dw4M0esIjsYL3rc/WeOSP6fjfMlsesw6evYmpUfx0ebervDTcyKDjqI9c7kesuFvLNz545JpSApjKV7G9lS2Y5WJefPc3oHtkV1vSepZ84fSahGSVqUUJNb7VmXIZ42xOUtRrotdgxaFY/6OFX+PCdfzE7xtim9dGIGb6wpp6XHRn6CgQ+vmcDIh5fQYbLT0GnhT5/u7HdGyNf10l8Y5v1f984QP7Zg+EHFLrkMLhqf1u/zEhJ9GYjzqLi+2y9H5POtNcweHOcXLP3YjyVcPz0r6Ov/9OkOvrl5CmqlXHR2xYdpSYrQ8cqlo5n/wlrxfb1h7307Uv31lHxxdnz1/mbOGpksXrgFK8cMNiB+YfkBLp+c4Xdy6uljXw7WMbW524rbLQzA06P6r+MHsDicpEbqaO62Ut9hlsSu4wi5XMYz549k7rOr2N/Uw/XvbeGNy8cGnUmLCdVw++xBXD89m2931PH66nKKG7pZ6bmQHBQfisstnDt2VHf4uUR8L5aWlzRz3tg0zhqZwlkjU6huM/H51hreXlsRUBoPsK6sdcDtt39r2Jyufp1bfXG43Ly1tsKv/OtgXDAujYJEg6dszXDQC8dpubFMz4tlRUnzcS16/VHpsTpQyGTsrOkMKu6GqBVcPCGdq6ZkEhemxeZwsb+phyeXlBxxs4OvtteJDt2smBDGZwmt7SflRAc9R146MYNvdtSxtaqDOUPiyYkL5YMNVVS0mrjr0x08v2w/95w6mNmD4+iyONjfJEygjs2IYv6oZK56e3NA6c8zS/fxlz6TMRJHH6PHZRvMxb2xvI1HFu4JWn7rFboUcpnoHM9PMPDOVeMCBry+LC9pxulyMzQ5TJz0e/r8kczMj+OBb4oobujm7BfXcf7YVP5ycj6J4TpunZXLTTNzWL2/hc+21LCoqIHihu6AklsQupkGc7h+uLHqkBOZxzO1HWbGZkQyOSeGkWmRjEiJ8JuM7LLYWbOvheUlQl5kQ9eR5TFmxoQwPjOKNqONvQ1dv6ghxi/l5RVlAU2TJI4dQ5PDiA3VHFZMUEyommunZTEqLTLg3LCpoo2r395Mp9lOfoKBkwrixeYVX26rFSdIFHIZ545J4dZZuSSG6wL+RjCW7m1kZWkzKoWs37HWr4Ekdh0mVT5uiphQNWMyovzErjtOHERqVOBG4D1R+baT16rk3D57EG63W5wFvGxSBgnhwgmopcfq193ROwD1BtBVewKxo0M1JIZrqe+0sLe+m06z3e9i2+50kRKhFw+GaVF6lHIZ68vaCFEreP6iUUSGqIkzaGjqtnLLh1sP2kXC6nOC8g2/P3tUSsBF3lPnFR7SHjtrcDyphxiMS0j0xZuD1R+bKtqYnBPt91jfweSba8vJjBG2vUi9ym8gX9zQzbNL9/GnOXmi1drb7dS3BPHNNRWiAN23NFGrUvDo/GGc98p6PtxYzbXTeg/2H22s4t7TgrfznT8qmdOHJ3HFW5sAWPDiOlb+eSYgDKpa+5QEvbziACf2KW/0XkTFGTTI5TIeP6eQPwXJ4AOw2JziZ+sbfi/xvyfWoOH1y8Zy3ivrWLO/lVs+2MZ/LxzVbxdOrUrBOWNSWTA6hXUHWnljTTlLi5vEDqUxoRr0LhddFkfQMPEfdjfQ2mOlscvKC8v3H/OMkj8qv+VBnUQg/YmQ10/P5saZ2X6DDLVSTkFSGK9dNharw8nX2+p4bFHJYQXep0bpUMrllLcYKfP8fLixCoVcxui0SKbnCd1SCxLDkMtlyOUy7jwxj4tf38DqfS08c/5IbpyRw7vrK3llZRllLUaueWczE7OiSY3SYXe6yYs3kBatZ83+FjYEEbRfXH6A9Cg954+TJiyPJTGhGqC3ogOECa2Hvi0Sj88hagWXTsrgysmZ/PfnfX4ZPdmxIZQ29hCqUfLG5WMPKnQBYsMSb/dOL2eOSGZqbiz/98NePtlcw0ebqvlhdwO3nJDDJRPT0SgVTMqOpttip6ShK2hXbOC4K+U+mvTnxARICteSGKELaAhzuJS3GH9xt7/fOtEhapxu9xHlgN114iDCdCreXldxzHIkkyN0DE40HHQy4/bZuby+qpzuIJER/bG79vAzS1t6bGJci1opZ1RaBBOzYmjqtvDRpmqcLjcj0yK4ZmoWN/o0lttR04lCLmPeiGRumpkdNHy+P1p7rPzVY7C5YnIm6dEDay5wLJDErsOk0WcgePLQBFx97E8Z0fqgM+5Gm7AhD/IJpT57VAoJ4Vp+3F1PUV0XIWoF103LFp/3zUTxnugA0qKFgbWvy2xIUjj1nRaW7m3k48294hsIs/j1nb0nyFOHJfLySsFW+K/5w8Qgu+zYUJq6rQEH6TlD4sWsB0AMyNtd2+lXSjUiLSJA7Jo3IpnMe74P+D58uWxixkGfl5AIxilDEw8qdi0raeKOEwf5PdbXDu92w30eF2JiuI5ThiXygU9A/IseEcl7UeHNx2vtMyDx7ot5CYEngvFZ0Vw4Po0PNlT5icNvrq1gwZgU0QnaZek9YZ83JpXxWdFieXGVx4lTmBohOjplst7wyM2V7WytamdUWm89fGWrsM5eIfnMEUn9il0Ol1sUuxqPcKZR4tgyLCWcly8ZzVVvb2bxnkauf28Lz184yq9bT19kMhmTcmKYlBNDeYuRN9eU8+nmmgENqEc/8tPRXH0Jid8NMhnMzIvjwnFpNHVb+duXuw66/EsrDrCurJVZ+XGckB/HkKQwv/KekoZuNlW0+Z0D+sM3E7a6zcyotAj+dOEotCo5q/a1iE7ijRVtbKxo4z+LSogJVTN9UBxzhycwOSeG5AgdtR1mVpY2c9KQBK6fns1F49N4acUBXl1V7nFqCn/viskZvLaqjH//WIzd6WZcRhQ17SbqOi0o5TIcLjcPflvE2Mwov1BkiaNLYargripp7Kah08K2qnbu+XIXHSY7chmcPy6NO2YPItagoanbEjDA9opOswfHkRRxaFdGjWcyPStI97uoEDWPLSjk3DGp3PvVbtG99dSSUlKj9EEzgn4pV03J5PTCJGJC1WhVCu77ajc/7G449AuPgEsmpHPWqGSUchntJjv1HWYq20xUe7reH4nY4KWu00Ld/7i77u+FvpO+h8MTR6nMHOCE/DjCdaqA8UVth1kUpxVyGWeNTObGGdmEapSM+9dSADF0HwQh1LttTMyK5v2rx2O0OShp6GZzZTuvrSof0LVbWpSee07J/3/2zjo6qrN729dI3N3dnQghuDuUltJSoUKV+tv2rbu7G3WjghQp7i5BAkmIu7u7zXx/TOYwJzMJCVL6e79ca3WtkkxmInPO8zz33vu+2ZtRKZyRpgTaI5NKOF1YT3Vzh5CyrcnpwnqR0CWXSrguxpX7JvoKusNg6exWcN9vCVQ1deBrb8pjfc5i/zTDYtcQqdYQu6YFOZDQR503M9QTUs40UXd2abYdjvO1RaFQ8tFO1Zt96VgvofNkZ2qFEP0Jqi6vqqYO7MwMhC6S0vp2unoU6MmkhDibsyutgq97D9NhLhbcMtqDJ9ckkV/TIjI6XHWyCKUSbhrlzoIRLsLHg5zMtUZRrE30eXthOPszdwsiV0d3D109Cp5ckyR6rHmfSNHt/5lw3pQQN2sjre6bYYYZDJHulgN+XldLf5eOcT819uYGuPTZBPYolPx3dSLt3aoqpNocXG1ub29mgJ5MquGfpztp5OnZgexOqxCNKfYolLyw/iyr7h2NRCJhi0b3zEhPawBWLxtN2Ms7AFjwxWHy354riFh6MrFp5ttb0ll5b5xwiMqrVl3zavN5PZlUNMqgiUwqwd5cJagPxltomCvDeD87vr8thrt/UY0T3fjtMb67LUZUDOkPL1sTXl0QyuPTA1h9qogVxwouiQHupcDOzIBYT2si3S0xN9Ijr7qFxKJ6ThbU/Sv9Moa5PHjYGKusHZzM8bU3xdnSiK4eBWdLGkTGuFeC+RHOzAxx4Pf4Qo7k1PSb5mVnZsDHi0fQ3tUjeKmklTUKY8Mf7szEwdyAUV42tHX1UFDTIup+CXIy5+ZR7tQ0d/LRLvGB7Oc7Ypnob8fZkgZ+iy9g3ekSlan97wnMDnXk1QWhvHxVCEW1rezPVI1JHcmuprq5k78SivkroViU4nW6qF5I+zUz1OOJmYEsinYT+TuqK/Pq38H714WzJbmMR1cm4m5jjIulEQezqnlzcxrf3z7yUv7Kh9HA3syQWE9rjufXEvfWbuHjQU7mvHttOGGuKjGss1vBsl9PUVLfhqeNMb/eOUro3APV6GuoiwW3j/EcMP28o3e/b2LQ/zExxtOajQ+N486fT3Igs4qWzp7LInQBfH8oj+N5tUR7WLE2oVhIv74c/P/uPzjM0Bgo1dHMUM5No9y5bbQnEgn8EV8ojAiCau89I9iBW+I8GO1jQ0FNK7M/OcjR3BpWxBdw62hPYjytiXK3ItzVgsdXJZ7X1L+wtpX7NEQr9feY+OIMzI3kHMmp4ebv4s/7c61/YKwwwjwUFAolT/2VxPG8WkwN5Hx1c9QV9+QeFruGiKaJXpy3DY+tOtcpIZdKMNSTsvqUdrdJQ1sXPQolX+w99ybPr2lle0o5GRVNmBnIuXu8asSpsb2L59erNhj3TvRmV2oFOVUtnC1pYHKgPXamBhj0GgAW17XhZWsiekPqy6V8tDhCWAz6dmrVtnQS5GTOi31GqJJL6rW+76dnB2Jloo+tqYFwwG/vUvD1/hxRIh2g1dEW4GjGgs8PaT2nJneN8x7QWHWYYfrD0lgfb1sTrbQoTbp6xAdlQz2pINr2paa5U2dlPavy3EHETxC7VCJBkJM5C0Y4C/eBnakV3DHOS+s5zA31eG1BKPf8egqAR6b68e3BXE7k1/FXQgmLol1FHZlqLzwzQz1emBcshFf8ejRfMBs1N5RT3dyJjYk+zR3dHM+vZXdapZDWqO5G89KozD45M4C3toqTJwGkEongO1bXOpya9m9mvJ8dv945irt/OcmZonqu+fIwXy+JIdhZ2yuyLy0d3cTn1ZBT1XzeKPqBkEpUI7sRrpa4WhnR3NlNU3s36WWNWmly/RHtYcVf942hvrWTw9k1HMyq4sfD+aIxnWH+/6KgppX3tmcIe5otyWU6xfkrwaakUswM5Swe6UZqWaPO0Zm5YU68MC9YsKKYGqS6F1c2trM3o5JdaZXsTFUVPf7WKGaq+WnpSCb627H+TAnvbdcOCLrth+NcG+XK83ODeGthOI9O8+eLvdn8Fl/I1rPlxOfV8vUt0Yz0tGZJnAdL4jzo7FZwqqCO7SnlbEkuE42pf7UvB5lEwg2xbrhaGaNUKlm+L0fnzz8v3IlPbxiBRCJhQu9oW25VC5/eEMmRnMPsTq8kvbxRp2ftMJeGm0a5iwTfZRN9eHyGvyhk54u92SQU1mNuqBpXdLM25tk5QXx3MFewRXl9cxprThXz+tWhxPQW1vpioKd6zpZ+EnkPZVXxy9ECUkqH1uXk72DK5EB7xvrY4mFjzO60SlafKiat7PzPk1zSoNNsvy8vzAsmtbTx/3QwyjD/95kW5MAzcwKFNNxdaZVa69nhp6YI6wWopkeenh3IS3+n8NHOzF5xt4Tv+wmMU2OiL2P5LdE0tqn2eMdya7RGiCNe3aFl1zIQ13x5mGlBDlw/0o0JfnbI+vHo1kShUPLc+rOsO12CXCrhsxsj8dORPP9PMyx2DRHNiHR9mVQUp21mKKetq4ddOhJrqpo62JRUKpqxTi6pZ1uKqg339rGegonhxzuzqGjswNPGmEen+VPR0E5OVQtJxSqxSyqV4O9gRnJJAxnljXjZmuCkcbEsHeuJr72Zzth4NV/cFClSWmtbOrVEsWgPKxZFuQKIxK6zJQ1s6DVFfXJWAO9uywDgCY0Rqd2PT6ShVZX+NRDXRLkM+PlhhhmIGE+rAcWujD5Vxoem+PHe9gydj00uaRCEIbV/XV/U15na/87N2kjkm/T21nTG+trqNJ/XFJ3i82p4eKofb29N560taUwLsud0PyLBneO8BLHrhQ0pTAlUme5bGOlR3dxJpLsVPvYmfL1fNWoyubddOa+6Wet1x/ra6nwNqQRMexNjB7pvDPPvYKSnNWvvG8PSn05QUNPKwq8O89bCMK6JdNV6bG5VM3szqtiXUUl8bi2dPRfXKeViacTCKBfqWjs5mV/HqlNF542318Wpgjo8n958Ud/LMP+b/NN+NLeO9uBEfl2/B2712N/v8YWiMfe+bE4uY0dqOVdFuHDPBG9hHZDLpDR39Ahduf1x+48nRP8Oc7Hg/esicDQ35P0dGayIL+CvhGL2Z1bx3qJwJgfa88qCUK4f6cbjqxJJL2/i5m/j+frWaCFlT18uZbSPDaN9bHhxXjAnC+q4+btjQpfz53uz+XJfNpMC7Mnv9f3SxfaUcjYnlzEv3BkbUwNhhNHW1IBpQfZsT6lg/elSnp49LHZdDjq6e1h9SmxR8sTMANEBNL+6RSiov3FNmMhfZ06YE5uSynC2MKS1S9WBtWj5UeaFO/HEzAAtPx31BElOVQs9CiVniurZnVbB7rRKMip0d29NC7In0t1K5x5rvJ8tb14TpuXPe8c4L+4Y58XZkgbWnCoedLjHQKj3S8P0T7irBeN8bTmcXX3ec9rlxsxAjruNMbamBrR2dtPc0TMo8fPfzq60igE9q9+8JkwkdKmZH+HMS3+nUNfaxdxP+28Y2fHoBFytjLjzp5Mcza3hzS3pbH5oHHPDnQBVkWVfRhXvbk8XiuQDCV0LI114aKof286WsymplJTSRraeLWfr2XJcrYxYOtaLxSPdMO2n27OrR8F/Vyey4UwpEgl8uHgEkwN1p73+0/TfwzrMgIz2tiE+T9xSbyCXsSe9UqfxYkVjB5/3ti7GeasqKVuSy0ksqlfFePb6VmVXNvHL0XwAXlkQiqGejMheH54TGhWdwN5NVFpZE0qlkg92nFtcInuN7Pt7Q14T6aJlMvfedu1uj9evDhU6TOzMzo3JrD5VTGePgskBdtwx9lwXi6bBnoe1sVYLvi4Gk6o3zDD9oelRpYu3tooTgJbEeQj/r+7S0kRdbX96dqAwsqgLdTiEq5WxaFyys0fBE2sS6dYhKBzQiAo+lluLt60Jfvam1LR08sGOc9fKghHOWl/7132jhf9Xt0yrr29XKyPun+iLhZEeWZXN/HWqGIVCSV6v6aY6ARZUnWi6kEulmBioxO++SY/D/DvxtjNlwwNjmehvR3uXgkdXJvLE6kRaOroprmvlq305zPr4AFM+2M9rm1I5mFXdr9A1iIKdQEl9G5/tyWbFsULSy5tQKlWbVU2enRNIxuuzyH97Ln/cHXcxP+Yww1xyJgWITbd/OVogHK6kEpWZtyb9+RiGu1qQ/cZsct+cww+3xxDrZU1Xj5K/EoqZ+fEBQl/azqyPDxD35m5e25RKZkUzhnpSFka5sOre0eS9NYft/5nA/ZN8dD6/s6UhuVXNGOpLee3qUNYsG4OvvSnVzR0s/ekEL204S0d3DyHOFqy9fwwzgh3o7FHwwG8JpJdrHxalUgmxXtY8MztI+NhYXxsUStW60lfouibShePPTWVumBNdPUoe/uM0G86U0NzRTXdvh4KRvowZwapRyFMFV27M9H8ZpVLJ038lczhbbDPSV1T6Ym823QolE/ztmNd74FUz3k9V6DLUk7HrsYksjnFDIoFNSWVM+3A/L/+dIvIiVe8Vlu/PYdSbu7j2qyN8uS9HS+iyMNJj3f1jSH9tFj72pnzUjxfSwaxqHvw9gW1ny1BodLc0tHWxOamMn4/ks2WA1HZNpBJVJ0tfIoZTpAdNUnEDX+7LGZTQZWtqwHXRrvx3hj/vXhvOD7fHsPHBcRx8cjK7H5/Ie4vCuSbSBXuz89sp6KKpo5uU0kb2Z1YNWHT4X+O3+AI+3pXJkZxqmtq72JNewb2/niTqtZ06Hz+rd+Qc4JnZgfg7mGGsL+eLm6MwNZCTVtYosiKyNzfk+pFuvHlN2KC+n/H+ttiZGXDfJB82PzyerY+M5/Yxnlga61Fc18Zrm1IZ/dZuPtyZqTUF09DWxR0/nWDDmVLkUgkfLx7BVRHaZ5krxXBn1xBo6zwnYk0NsmdNn3FFmVTCpkTdN2v1IdrMUM5Hi0cw7p29QjvjtVEu2JkZoFQqeWVjKt0KJdOC7Jnor9qQjeoVx04V1AkeXYG9C1F6eSN/JZSIvMBO5NcxK9RJ52YHVN0wmiQW1YsSJUF1c9M8GPf1hDE1kPPGNWH9zuEqlJy3QvPEzIABPz/MMOcj2mNgsavv5lCzJb+mpRNvOxOdSSyetiY8PzdIq9K+MamMqyKcBZN4NytjdvdWbp6YGcDX+3NIKm7g6wO5PDDZV/S1B7NU16jaWP6dbek8PzeYpT+dEPlD3DBSO9Uq2kN71EA9uuBjZ4KFsR4PTvbljS1pfLoni0h3S1o6ezCQS/HUqNjKpBLG+9lyMEvsK9jc2Y1Zr+eeOkxjmH8/lsb6/HD7SD7ZncWnu7NYfapYa4xeTyYZ0KsOVPdrJwtDZoY4MjHADksjPVadLB5UWqCpgVwodLhbG/P9bTH4OZhRVNvKrrQKdurodL6cmOjLkEolgi/RMP8cMR5W3DnOi7F+trR39rDiWIHIn+RKoCeTIEEiEnoPZFYR4Wqh86D35KxA3u4z6t3dzyhlQ1sXKaWNRLhZMiXQgSmBDmxJLhNMfps7ugUPIytjPR6fEcBVI5xFRb7ShrZ+D/nbUyrYnlKBlbEeC6NcWTzSjU0PjePtren8dCSfn48WkFjcwFdLonCyMOLzm6K446cTHMqu5qm/kll33xihYKmJusPsrnFePDTFj5g3duq8R8wMccDO1IBPb4zE1EDOypNFPL4qkWUTVeKcvZkBFkZ6Qgfb/+/pcJeL1SeLWXe6BJlUws9LY6lp6eCRP8+wfH8OzpaG3Drak6b2LuGc8chUPy17kLnhzry+KY3c6hYOZlXxzqJwbhvjydvb0jmQWcVPR/JZc6qY8X62WBjpic4E6q4QTaYF2fPIVH/CXC0oqGnh2q+OCCON04LseXp2EL72ppQ1tLF8Xw5/nigisbiBZStU14aHjTGWxvqcLWkQjXYZ6kkJcbYYMK1QoYSWTu2mgkSNyZsLIdbLGmtjfWHi5nIhl0qIdLfsN7FRk2UTfbgx1o3VJ4v5cl82/8RUd6S7Jc/OCSLGw2pQNjM+dqZcF+Om9fGuHoVwvux7Xr5cxHhYUdXcIQpPu5I8ONmXiQF25FW1cCSnmvVnzo2vp5Q2DmoM+LUFIUwLduDqLw4DMMHfjrvGn0t2tzbRZ3qwA+tOl3CqoE6Y4Egqrueqzw8P+nt9dGUiBvJkpgbZMz/cmSlB9rx8VQhPzw5kbUIJ3x3KVY2u787i5yP5PDDZh9vHeFFc18pdv5wkt6oFIz0ZX9wcyZRAh/O/4D/IsNg1BBIKz92Y3K2N+bBPBaOju4e9Gaqui/sn+fClDu+D20Z74mRhhIm+TPDUUr9pd6dVcjCrGn2ZlOfnnvPT8rc3w9JYj/rWLpKKG4j2sCKod3NxNKeG470dZsFO5qSWNXKsV9l9Y7O4q0VNetm5yoxSqeSlv1O0xlCmB4vfqHam+qJ/PzMncMBEF01vs/5YOtbzvI8ZZpiB8LEzFRnuno8ajU1bbUunyvML7Q26q5UR9u5WTAqwY5+GkPzG5lSmBNpT1DvS62hhKHR2zQp1xNHckMdXJ/LxrkymBTkIh4CO7h7hulx172iW/XqKnKoWCmpatMQntdFsX3Y9NoFpHx4Qff/q3wGouta+PpBDcV0bb2xRXfuBTuZaJrThrhZaYld6WSNOFqrruVXHJnKYfyfdPQp2p1eS0o+PyQvzgkkpbWBtQonOzztZGDI3zImpQQ40tXexI7WCp9Yk6Rzh7Q/NsdfG9i7e2JJGeUP7ZTMqjnC1YKyvrc71FXQfgv4JxvraaInrF4qeTIKRngx9uUwQKweTwnSlOVlQx8kBDqn/JLamBrx8VTDTghyEotyZonpe3ZhCQmF9vx0NfYWuviyJc2dqkAPPrztLQU0r1y0/ygvzgrAzM+DPE0X97n2aO7rJrmxWGX8bquwg3tmWLtyL7cwMeG5OkNDZe7akkU1Jpaw/U0JFYwffH8rj+0N5RLpbsjjGjc9ujOS5dcmcKapnweeH+XHpSEKcLfjw+gimfrCfxKJ69mdW6RwjUU8ldPUoiHh1h9bn1e+5ZSsSGOFmyStXhfDWwjBaOrvZlFTG572jcuqCrNrEvG147bjk1LV0Cuv54zP8GdfboZVb1cInu7N4cUMKMqkECyM9OroVeNuaEKUjvMfUQM59k314d1sGr29KY7yfHcHO5vxyR6wg0DZ3dJ834TDQ0YxXrgphlLcqWCqjvIkbvz1GbUunKqXx2nDBNxRUKdcvzQ9hrK+t4FkKKn8+tSDhZGHInDAnJgXYUdPcyesaZ5e54U48PSsQuUzCX6eKeX/HpUvRM9aXsSjalWsiXRjhZolEIqGxvYtbRnuwM7XikoxU6qJboRyU0AWqzrrf4guYFGDPxzdEEupszp70StHv6FJzurCe65YfFf59fYwrS8d64WdvOmCoAajuAYnF9SQU1pFQUE9ySf1lDz2yMzOgu0dBXWvXkNaf8X62dPcotYLZLiWf781mbUIxUR5WbNIIoZrobzeoczKoElhXHCukorEDP3tTPr8pUss/Sx1u19LZzZGcam76dmADeolEpUc8OSuA0vp2NiaWsjGxlNzqFrYkl7MluRwbE32ui3Hjplh3bhrlzg0j3dieUs6HOzPJqmzmzS3pvLnl3HrpZGHIt7fGXJCp/eVmWOwaAsc0LogT+bVah0J19cPDxpipQfZam3E9mYRbx6jGqDSTRHzsTOnsVvD6ZtWc+Z3jvfDU8NmRSiXEelqzI7WC+Lwaoj2shM4u9fMEOprx3W0xjHl7D6lljWxPKdc60KoP1Zqi3faUCpEPmZq+XWEOfeaKb9TRfaLJ3b+cHPDzAMb6w2+/YS4OtX/dQFVATfoeGDUXxgAHM6FFv6i2DXszQx6fHiASuyoaO3h9UypVvWJAa2c3Hd0KLIz08LY1wdvWhC3JZexOr+SJNYmsvW8McpmUU/l1tHcpsDMzIMbDisdnBPDsumQ+2pXFN7dEi67V/saPffskPapHTnx6xy2N9GXcNd6bt7emC99zqA7T8jAXS62PnS1pFMTrC/FfGuafpbKpnd/jC/nzeBHlGiNWam8hNbq8S/RlUmaEODAv3InOHiXbU8q56+cTIpHISE/GaB8bXCyNhpRKVd/aJbpeLiUvzQ/mljgPSuvbueWH8ycJ/dNcKqFraqA9E/ztVOu8o5lwuKhv7SS9vIn0skbSy5tILG74/2bc40Kobu7gmb+S2RZQzlURzoxwt2RveqWWae9gCXE25+PFIwSz3S2PjGfGR/upaOzghQ0posfGeVtzw0h3ZoU6kl7exPvbMziUXc1PR/K1DtB6Mgm3jfbkkWl+mGl0fIW5WhDmasETMwM4kFXFyhNF7E6r5HRhPacL6zHWlxHlbsXR3Boqmzq4fvlRvr01hjG+tlwX48YPh/PYcKZES+zKqmgShOifj567tiUSWLNsNNEe1jS2d/HdgVy+O5THmaJ6rv7yMDeMdOflq0I4mlNDTW+h5fqRqm4OdaiJpbG4KDrMxfPjkXwa2roIdDTjHo1ujv9M86O5o5vvD+Xx3LqzwsfH+tr2241z5zgv/j5TSnp5E4/8eZqnZgXy27FCNiTqLob05eX5wSyJ8xDuSSX1bdzUK3SFupjz7a0xQtGsu0fB8fxatp0tZ3tK+YCCR2tnDx3dPXyyK0vYk/nYmfDmNWGCqAZw9wRvIt2tBpUkNxi+vDkKGxMDzhTVseJYIYnF9eRUNV+RPZCHjTGTA+wZ7WPDCDdLkoob+OlIHoeza2hq7xbEiCvBqpPFrDp5rjNrUbQrke6WhLtYYmooJ6m4noSCOhIK60kta9QyYZdIwEDefzjUxVI1iOKcvZkBTe3dIpuhvmfky0VpQzulSeLu3f6ELn25FGN9mSgAZcWxcx32z80N0mn/oz7Xf70/l6/354o+Nzfciab2bg5ovOaqe0cLqe++9qY8Ot2f/0zzI7Wskb8TS1l/WlVkWb4/h+X7c5jgb8fNo9yZHuzAjBBHVhwr4KW/xeve6mWjcbUSe/L9WxhWG4aA5oFavaGP8bDSUpKnBNoLN3xN4rxtsDcz1Fn9WnmyiPyaVmxNDbTGn9RfuyO1gvjcWu6fdE7FVfPqglCcLY2EdLp7NSooat65NlwQwxrbuzDRl4u8vkB1EOrsUZBU3EBLR7dQsatrEbcxq1vjlX1WBSM9mU7Psr4YyIft4oa5NHjbmgxa7FIviuP9bKlq6hB1n2h6Uby2KZW1943Bwfzc+K762lC397tYGpHTm9QY6W4pbDDfXBjG9A/3i8YZ1X5d4/1UG9HFI9348XAeWZXNWqlcSqWy382qjYm+cNAAlTCm6ZOwJM6D5ftzhIUyxFm7whKuo3PsbGkDM0PV1dhhtevfSmZFE98eyGXDmVJhLMvaRJ/rYly5LtpVEETXJhSLkoJBNTpxxzgv7M0MiM+r5ZE/z9DRfW7z6WxhyKxQJ6YF2RPtaYWBXMaRnGp+PVaAi6URbtZGHMutRV8m5YHJvoPyZLyUvLIxlVc2/t81HpZIwLA3sbhHqaSzW/fGf3d6Jbs1oswj3S2ZGmjPKG8b/OxNqWhsp6mjm8LzmJ0Po/KC2ZRUJqqoXwjTgx345pZoJBIJpfVtrDtdwtqEYp0H+C0Pjxclo45ws2TFXaPYcKaER/48I3qsi6URf9wdh7tN/wcEuUwqjEhWNrWzNqGEVSeKyK1u4VD2ucNaS2cPS386wY+3j2SCvy0/HM7TmVzXdzQf4Pm5QSwd6yV0C5gb6vHYjACWjPbg7S3prD1dwh/HCzmQWSVaf9T+jupRHI8Bfo5hho5CoWTlCdVB98EpvqKuGolEwvNzgzDUk/LF3nOFdSdLbcNrNQZyGZ/cEMnMjw9wOLtGNOIU6GjGzXEezApx5Iu92Tq7mhbFuAnfQ49CySN/nKampZNgJ3N+uzMOM0M58bk1rD9TwvaUCnGAl4GcqUH2zAp1YqK/HVIprD9dwtf7c8mtbhEd6Mf52vLdbTEY6skormtlX0YV+zKq2JuhnWZ3Mei6Fi4FQ5k2UFNQ06pTDL9QBmNfcKGsOVU84FiivZkBHjbGdHQraOnopqGtS+co7D/FfZN8WDrGk45uBX+eKBRdL/8WLIz0uG20B3HeNkS6W5FX3cKcTw9qPe72H08Q4GDG1ZEuXBPpQm5VM1/tz9EZcHVVhDNOFob8eDhfNMYf5mIhCF2aSCQSQpwtCHG24IkZAexJr+S3+EIOZFVxIFP1n4O5AWEuFjpf774VCXx7a4xO0/0rzbDYNUiUSiVnNTYOWb2H3Btj3XWKXbqM+ib1puP09WfIqmji8z1ZADw0xVdnZ0dcb3XjRH4tHd09yKVisSjWS/XGHedn22+aTm1LJx42xhTUtHKqoI7a5k7h51DzwfURvLMtneK6Nk4W1DHR3w6FQilaiEC1CEulEjb3+VmsjPVoazi/2HX7GM/zPmaYYQZD37CFgcjvPSB62phw62jPfjsQzxTVsyGxBCMNT7puhQJfe1Oye6+ZICdzEnpv+JpG+Q7mhrw4P4T/rk7ksz1ZLBjhzI5U1WiAeuxDJpXwyDQ/Hvz9NL/1Sfc6kFUtPE4ThUJJTx9xubmjWySMmRrIuX2MJx/vUt1PQl20O7ucdCxEmRVNSFAL2Dp/JcNcQc6WNPDJ7iyR/1WUuyW3jfFkVqgjBr0iilKpZHtKhZbQBarRiW8OiCt+njbGzAp1YnaoI+GuFloiq/o9YaQv46ubo4l8bSedPYrLKnR9emMkD/9xGjgnMA8GaxN90eFqsBjIpSiVXHRK5flQKmFasAMvzgsWAl9aO7s5U1jPd4fyhOCJvqg7ef5JHp3mz+1jPZFIYG96JV/ty7lsY6n/F5job8fahBLWni7mSE6NcI801JMyM8QRc0M9Vp4oorNHwbPrkvnlzlih+l7Z1M7X+3NZoaNDsqS+jc/3ZvH07CCtAqYu7M0MWTbRh3sneBOfV8uPh/PYkVohfD8d3Qpu+i5eMCTWnCBIK2tk9ifiw5OVsR4Hn5rSbzexvZkhHy4ewfUj3XhyTRKFtWIfnM/3ZjM50J49vb6VcRpdOMNcPBkVTVQ0dmCsEQKgiUQi4YmZgThaGPHCelV317vbMpgX5qwloCqVSg5lV+scA1x5TxyxXtZIJBJWnyzizxO6vRpDX9rOY9P9uSXOg/2ZVZwsqMPUQM7TswP5/lAua0+XCKntoHp/TQ92YHaoE2N8bYR1Ss110W5UNHZoWcIcyq4m8IVtg/slXQGsjPVYNtGHqUEOHMmp5sU+nZ26hC47M4NBdSBdDBZGesyPcGJ6sCNx3tYYyGV0dPdwKr+O7w/liYool5PKpo4hWSHo4s5xXkS6W5JZ0cynu7Mu6rm+2pfDV/3YHvTHSE8rqps7B+VDeDHCovprG9q6+HRPNp/uyUZfJkUuE+/F7p3oTUZ5E4ezq8moaOKdbem8s033yP2cMEfCXCz56UieUJCZ6G/HtCB7XtiQ0m+hTRO5TMqMEEdmhDhSWNPKHycK+f6Q6vkqGs+9jz67MRJjfRn/XZ1IckkDC744xC93jNKZSH8lGRa7Bklhbato4wCqm9eUPi3ixvoyYr2skcukgrCkRm0A/Xsf0987fj5BRWMHLpZG3BCrbfIHEORkhr2ZAZVNHcTn1gppcCA+0E4NcuCXo7rHTk7m1zLS05qCmlaOZFdrzeaHOJszN8yJ/ZlVrDlVzLHcGib627EhsUQ0KgNQ29qJrakBD/5+WvRxU0M5DCLF1t/h33UhDPN/F+8+yVkDoV64vGxNmBY0cCTuO1szmKrxGIXynDcJQHtXD6mlqjd731TIa6NcWHWyiON5tdz2w3Fyq1rQl0lF94s5oU4EOGRrpRt9ujuLCX7aowi51c2i1mbh++oVntWM9rbhY1Sbg4Y27cfr6horqGml6zIf9ocZOtmVTbyzLUMQuSQSVSLPXeO9tcIZyhvaeXpt0qDGCEe4WfLWwjACHc0GNKBVr1nZlc2Me2fPRfwkg0ez23goAtSFCF13jPViSZw7dmYG7Eyt4O/EUg5lVfdrSH6xaI6iBDmZ89qCEOK8bRjTayjb3aNg5cki0VjSleCjXZmXRdA00ZddMU+1oTIzxIHtKarr7vn14r/HKC9rro1yZXaYozB6eHWkC3f+fIIzRfXc9sNxPrp+BCuOFbAivkAY34l0t+Sx6f6EOlvwzrZ0/jxRxKqTxexMreD1q8OEyPjzIZFIiPO2Ic7bhvzqFn48nMeK+EKh6+XZdcmAqpszu7KJh/84Q2qfkdcfl45kcsDgYuHjvG14e2EYN/UZHztVUMfejEphJKdvAuAwF0dqb8dchKsl+gNMQ9wS58EXe7KFffr8zw/xzrVhzApV/T0Si+p5a2sax3JVXm2GelL0pFIhWOTno/mEuVrw/vZMfjicB6hMsD9ePAJzQzmj3twtdPR9uDOTL/dlC+/p5o5ubv3huPC9mBnImRPmxFUjnBnVexbSRXNHN4+uPCOsbRGuFhjoyQQP4v6wNNbDy9ZEKAAsjHJhbUIJZgZy/rgnjqf+ShqU6feFMMbHhtvGeDItyAFZ77VV09x/0JEml0PoeniKL7ZmBhzJruFAVhUNbV2sOFbIimOFmBrImRxoz6wQRyYF2PH97SMBqGxsZ096JZ/tyRZZHlxp5FIJT88OxMfOlNNF9WxJLuP7Q3lX7PtRKAcfuHExHXQmBnIWRDjja2/KqYI6jubWUNHYQd9lsrCmFTNDPbxtTbXODJrcEufB0dwatiSrzvfu1sa8MC+YaUH2glfjUAt7btZGBDuZY6wv0xLKnlyTxI2x7nxzawzPrk0mq7KZm749xp/3xAkj//8GhsWuQZKkw8x0WpA9Fkbi2dkxPrZC9SLAwUwkduVVt5BZ0cSpgjrkUgm3j/Hku0N5FNWqbjiPTPXTqnyokUgkTA6wZ+XJIv5OLBVVgQtrWoUDb3MfQc7HzoS5YU58uiebU4X1jPe1Zc2pYr49qH0TeWJmAFKpahO15lQxR3NqaO3s5p2tGVqPrWhsp6xeO457sH4YnrbD7e7DXBr6xsQPhHpD4mVn0u8hf6SnFWUN7RTXtQldV7eP8eSnI/kkF9cLj1OPkOjLpFrCg0Qi4ZWrQpj32SFyel9zgr+tyJNFKpWwJM5d5PeiL5OqFrycGuEArOZ4nqqDtO/o9MakUhaMcBH+rbkQ/nK0gPF+2l1iusiqVH1dfwmrw/xzVDd38NHOTP48UUSPQolEompJf2iKH7722p2MGxNLeW5dslZBRo2FkR7tXT3C2OKZonre2JzGf2cGMEJHXHt1cwfretN31LR09uBhY8ycMCe2p5Sfd3N/oVyqFKXND4/jp8P5WumUcK4L7IfDefxwOI9xvraqDdstMTR3dPNurxAxFGxM9Gnu6BaNhhrqqbrGOnRUUtPKGlnUawKsL5Py0BRfOnsUwob0cjLR347JAXY4WRpRVt/GXwklOkfeLjX9CV2mBnK6FYrL5umiib+D6aD2KWqhS42njTELo1Rm1m7W2vuXaA8rfr8rjjmfHuR0YT2T3t8nfG6EmyWPTvcXFTHevjac62LceG5dMunlTTzwewI7U5159epQnZ4s/eFpa8IrC0J5dLo/Xx/IFXUwlDW0i0JN1Gx9ZLwobft8ZFc28dAf5wqbcqlEEISX9o6CjfezHVKX9TDnR+0xOpixoAWRzoJXT0NbF8tWJDDezxYTfTnbU8tRKlX3mSVxHtw/2QdbUwM2nCnhv6sTBUNqNf+Z5sfDU/yEItrRZ6ayaPkR4Ryk6zqdFGDHtVGuTA92OO8eorKxnaU/nRCJUv0FRvQl2MmcIzkqf8THpvvjZm3E2oQSmjq6mffZoUE9x1DQl0tZFO3KbaM9CXA0o6CmheX7c9iYWCrqdtWXS5nkb8ecMCfszQ34cEfmZQ/r+HRPNnKphCgPK+4e742RvoyCmlZ2p1VQ2dQhFFcM5FIm+NsxK8SRaUEO3BDrzg2x7lQ1dfDlvmx+PJx/Wb/PgfB3MOXGWHdqWzr580SRMDlxPqQSLmsypdoaZbyfLYtHuuFhbcLLG1OEjzuaG2o1gVwI9a1d/Hy0AHdrY56ZHYiNqYFOke98wRFqND1Wn58bxJI4D+F6VN9PbE0H761YUNPCCxtSBL8vL1sTXl0QQktHD1/szSa5pIEfDuex4lgB10a70tWjIL+mlaU/nWDjg+OwGkTH8j/BsNg1SHQZwY7ztdOKdR7jc66Nu6LPhZBe1si63v+fEmjPDbHufNf7prY3M2BhlAsDMTlQJXapZ6U9bIwpa2insb2brMpm/B1M+fqAuFXztQWhgOqmmFBQx+PT/UWfV4+JxHpZC6NTcd6qkcjkkgY+3JFJeWM7rlZGBDqasStNJbIV1LRqtR4PBQ+bwQsUwwwzEO7Wg38vqYUg794ACHW3pCaJRQ18cH2EaHN/+xhPCmtbdY4ajfSywkhfe3MX5GTOLXEeggfDtKDzR/HeGOvGz0cL+GR3lpbYpV5sxvraijZRH+7MZE6YE3q9FVTNyuiutAoKa1oH9IRRc7ZEdY8z1vGzDPPPoFAo+fNEEW9vTROEqxnBDjw5K0AroABUnUBvb00X1pG+TAty4LoYVyYH2KMvl6pa5Xtjow9lV3Mou5ppQQ48PsOfICdzkosb+PFwHpuSyrSqf/ZmBvjamfL9wbzLPvI3EFIJhLpYMNrbhmgPK1HClyZzP+3/4KNQKntj1VUhFerfxcVQ09KJjYk+rlZ66MtlVDV1iAIx5FIJ+nKpzrTTzh4FH1zEejoYIt0tuXW0B1MCHTCQS4nPq2Vfb1fOpRAupRLVRliJysvpQhM9I9wsmR/uxJwwJ5wtjShraONoTg1Hc2o4klNz0d0IF2JQ/9d9Y4jS8GXU/bxNfHcwV+vjPy0dyUR/O51fG+1hxd8PjuPT3Vl8uS+b9WdKOVNUzxc3R+n0WxwIS2N9npoViLetCU+sSer3cU/NChyS0JVZ0cTN38VT02tCvvKe0SQW1Wt1ef13RsCQvt9hzo/aQ20wnabq7nIXSyMWjHDmy305IgPuhZEuPD4zABeNFPUFI1wwN9ITBEuAZRN9+M808TmhW6Fgor+dzqK/GrWvr1za/zUCqqL/ZA0hWI2eTFXQnxvuxJRAe8wM9ejsVvDwH6fZlnLuoK8WuoCLOoMMFkO5FAsjPbanlPPkmkSRKCeXSoQwEWN9GWdLGnl/R4ZolPNSoy+TsjDKBblMwsGsagpqWjmeVyvs+1wsjZge7ICNiT4NbV3szaiisLaVnakVIhuEfwuZFc2D9uK0MzNgTqgj8yKciXa3QiqVUFjTyuOrzww63XKoZJQ3Md7XDgtjPVbfO5oX/z7LimOFQxK60l6dxcmCWvamVwmdk30prG3lvt8ShH9fCs+13OoWalo6hWs+p1K1zmveA/qjqb2Lbw7k8s2BXDq6FejLpTwwyZd7J3oL4tnMEAcOZFXz+Z4sTuTX8cfxQuH6L65r44k1iXx7a8yA6+Y/xbDYNUh0bQbVwpanjTH5vdVoTdO3vpWK5JIGYaN1daQLrlbn3nAj3CzPG+mqjhxW88zsIH45ms+RnBqO59dS29KptRiN8bWlpaMbmVRCSX0bBnri11D2mlE/NMVXeEO6WhnjZm1EUW2bcIh6dk4QqaWNgti1N73yvAp8rKc1x/O1q9Qm+jJs/iVq7zD/99GXa48MD4SeTIKLpRFV/fgKdPYoRAbDoBKW753grVPsGttHlNJkwQhnQezq63cCiKqpALeO8eSP40XE59VyLLdG8EDp6lFwuPcw7mUrFvcKalpZm1DM4pHuKJVKTvRecwZyKR3dCn4+ms8L84JFX2Nrqq9lGKoW9IfFritD301bsJM5L80PFqVRadLe1cPot3ZTp2O0FeDEc9MEbyg1FkZ6vDAvmNvHePLJ7izWJhSzK62CXWnam+BgJ3OcLQ2Fe35lU8egPD8i3S15dk4QnjYm3P3LSZ1pvxfKd7fGEOttjbmhHqX1bTz4+7nN4eQAO2RSifD99iXQ0Qx/BzMSCusET8rB4GplxPe3jcRQT9pbKS/rd4ygpqVTGPdxsjAkyl21rlc0tlNQ00r3FRzhG8j7SyaV4GVrQnePqruqtqVzyIKmQonQxXoxxHlbc1WEM/bmqm4WJwsjFka5sjDKFYCi2la2nS3njS1pF/1aoHpfDORH9vUt0Vqdu5qcKqjjq305Oq8hgKK6tgE3+/pyKf+dGcDkQHse/uM0+TWtXPPlEd5eGCb8zOdDqVRyIKuar/fniMQAXfS13hiIg1lV3L8igaaOboKczPn1jlGYGMgZ42vLNZEurDt9LsUvQkeH6DAXh0PvNVCkY+/QlzE+NhjqSSnpDVDoS49SiazP+7C7R8GvfWxPfjiUh72ZAUvHepJX3cKvxwpYc6pYpw+Vib6Mq0Y481dCCYnFDTz0x2mcLAy5KdadxbFu2Jud60ira+nk3e0Z/NHHxmWEmyXXRrsyL8xJqwtELpVwMOv8Y/kRrhZa560bY93ZmVqhlcA9VBrbu7X8nkJdzLE1NcDEQE5KSYPWvlAmlRDqbM4IN5VA3trZzZmi+kEL7e9fF8HVI5zZlVbBE2uSRL97zZAkgHsmeGNvZsDh7GqhGKCeSJBLJYPezz01K5BrIl2QSmBvRiXrTpcIY69Xmgg3S56aGcAobxtkUgkNrV38eaKIdaeLL1jkGuxIfWVTBxGv7rig11CTU9XMeD87xvvZ8eL8YCoa21l/uoS3tur23IILH4001DuXevl7fCFrThVzz3hv7p/sw9Fc1RkiRoc5vZqO7h5WHCvk8z1Zwt5ynK8tr10dqnX2kEgkTPS3Y4KfLbvSKnljc6qghQDsSqtke0q5ME59JRkWuwaJrtld9Y1Z8y2pbjfum14ICIdLUwM5UwLtWZtwbkEazOhQXxPRmSEOZFY0cSSnhsNZ1YJJqCZFta24WRsT5GTG2ZJGjuWKN0JdPUqCncwZ1+fAPsbblpW1qhtquKsFs0MdRSmSmqMho7ysdY5eTA2y1yl2edj0P0I2zDAXgretyaDFLnszQ+QyqXAId7IwpKxBXKVZfbIYP3tTIcChsa1bCIHoiy4fLTWHNbpFfj6Szx3jvLA1VQkQlU3tHO1zPR7JqeG6GFd+iy/ky305gtiVUFBHU0c31ib6Os0lv96fy6JoN3Krmqlo7EBfLuXjxSO477cE1pwq5omZAaJ7jI2JgZbYlVOl+ll1dakNc3lZfbKIl/9OoaWzBxN9GY/NCOC20R46CyAKhZK/E0v5z8ozoo+P9bXhcLbq/fTa1aFaQpcmbr0+DoDOVCVnC0Mqm9q1fH6WxLkjk0j4uR9fSFCJKtctPzroZN6hkFLayNQge/ZlVPLoyjPUtXZhbijn7WvDmRniyDcHctmfWaVzo5he3nRBJutN7d38cbyQG2PdeXCKHw9O8SOjvImNiaX8nViqU8QG1QiZ+r7iaG6IRPLvDX8wM5STW9V8ycdC5FIJvvamKJRKimrbBvV+0IxOnxRgxz0TvInxsEZfLiWnqlnlT3VMt4H2haB+T4S5WOgc5dyRUkGsp7XoIN7Vo2Dr2XJ+OJQnrCNqP71lE32IcLPkmwM5vLklnTc3pzHO11broNCXaA8rNj88jsdWJbInvZLHViWSU9XM49MDtCYINL+PzUllfH0gV+f0gS7mfnqQu8Z78/BUX4z1+z8C/B5fyAsbztKjUBLrac3Xt0QLv4OuHoWWoLI9pZyZIdom6sNcOCG9RbfUskaaO7r7DRIAMDPUw8PahIyKJsoa2pFLJdwzwZvWzh5+PprPhjOl7Eyt4KEpftwxzhMDuYwXNqSwJ70SA7mUz26MZPUplX/cq5tSeXWTuNvG08aYJXEeeNmacOfPqmCfls4enpoVyOMzAvj1aAG/HiugrKGdD3Zm8snuLGaGOjI5wJ6k4notL+EFI3SP5SsUSs4U17M7rWLQqXm6RiDXny655OuPGnUXvBqZVEK4q6rb2MHckKb2Lk4W1LHyZNEFjWb/d3Ui/12dyGhvG76+JZpRXjYklzTw9F9JWmuYZujMfZN8kEoQfm/dCmW/1gZ96c/w/N/gs5hYVM+dP5+kvbvnkq2hmj/TU7MCuSnWnZL6Nn4/XnBJ1xeAHw7n8eH1I4R/O5gbcu9EHxZFuzL300OD7hKzMzPA38FU2Ofpou/7rbNbwed7s/l8b7bwsb7nfVClq64/XcKHOzOF7mkfOxOemBnIzBCHAc/sEomE6cEOTPC35ecj+Xy2O1vwA1y2IoGUV2aK/I6vBMNi1yDoUSjJ6xPzrZm2WK5xUG5s78LOzGDA+doZwQ7oyaSilvc96ZW0d/UMKHr17aRSq6of7swUtflqsuFMCQ9O8WO0tw1nSxp5Zm2y1mPumeCt9UaO9rRi5UmV2PXQFD8kEolWt4ua+RHOOsWuacEOOpXrf2Ms6TD/t1GNxZ6/AggIN/IzRedm8ledFB/415wqFs21f38ol8f6GdPYlVbB07MCtQ4kSqVSJGi3dKpm3F+aHwIg+pyaHw7l8dPSkULMe1ZFE34OZuzrHWGc4GcrCMiayZC51S3sSCkX2ufjvG2YEeIoCHm70iqYF+4svI4uM3p1aouV8XDX5T9FR3cPL/+dKlS7Yz2t+eD6CJ2eQEqlkn2ZVby/PUPkdeJubczXt0QT5GTOVZ8fIqm4ASfz/u+xdb1eVT8dzhc2JH0p1VjTlo71FDw9/jheJIp+15NJmB/hjI+dKe9tF3s7qg8agY5m1Ld2XRJ/i77G6WEuFnx5cxQGelJu/PaYMMoxI9iBNxeGUVTbyst/pwzaD0bNS/ODqW/tYs2pYkrq24RI+Eh3S24c6c68CCf+OzOAx2f4k1TcwN+JpWxKKhWuob5cip99IG4a5c4YHxvSyhovKFZ9IMEeVPsd9973ZG1r56DHHrsVStHhzNpEnxtGujEjxJHD2dVa75m+7MuoOm/ggpOFITePcmd+hDOvbUrrt8PqfPTnWfZXQjF7Myp5dk4QUwPt+eNEIb8cKRD+pvoyKVdHOnPvRB98NDyr7hrnzb6MKo7k1PDUmiRW3ht33iKfpbE+390awwc7M/hibw5f7M2htL6d9xaFi4TvupZOVp4s4tejBf2OdS6JcxcObTYm+nx5cxTfHsxjV1oFy/fn8PeZEl6+KoQZfQSq9q4e3t6aLnQkXxPpwtvXhgl+sgqFkid1jEm+8ncK4/1sBxTQhhkaXrYmeNmakNe7vg/U6bcrtULUcfri/GBuHe0JqP6GL29M4XRhPe9sS2fVySKCnczZnFyGVKJKVJse7IC5kZ7OUbef74hlvK+tsMf58PoIIfF37qeH+PmOWB6d7s99k3zYeraMX48WkFBYz+akMjYnlWk938EnJ4vWuO4eBcfza9l+tpztKRUD3i9XLxvNSE9rlEolR3Nq+C2+kO0p5VqjnrqEroen+LIjteKSJssujHJhRrADJ/Pr2Ha2nNxBmpoD7H9iEh42JtS1dLItpZyX/hYn5R3NrREKouN8bXl1QSgxHlYU17Xx6qYUrS7moSYODoZ/UugKdTHniZmBjPa2IaeqmcPZ1XyxN5u61q4LEi512ZTo4st92TS0dTEl0B4nCyOCnMwHXTzQxXg/W47m1AjvyR0pFSiVSuH+X9nYzp0/nxyyT2ZVU4co6MDVyohV947G2dIIhULJyYI6NiWVsiW5fMCORnXwEKj2lXszKnl3W4ZwXTiaG/KfaX4sinY978SZJgZyGfdM8GFhlCsvrD8r6CAhL21n/QNjdfrD/lMMr0qDoKyhjc5uhWiGVjNWU9N8Vr1p3Jxc2u/zXTXCmZ2pFeRWt2BmKEculVDX2sWe9ErmhPXf7vdRn/n0otpWwlwstCLXbUz0eWiKLy9vTGXt6RIemOzLRH97vj2Yp7PKoCsBKL3s3GLg2Htw8tNhjHx9jKvQqdIX734qmZZGgzdfHWaYwTBQF0t/qCvyI9ysSC5pFC1u1c1iv50fDqu6sswN5VqVstyqFnakVjArVHxoOFVQR251C8b6Mj68fgTLVpzit2OF3DnOCxdLI1adPNeKvjDKhV2pFeRVt5BV0cz0YFUS2A+H83lrYZhw4JsUYM/7vWl1z8wO5Km/koXv86v9OULld5K/aqTr2ihXPt+bzaqTxSKxq7Shf0+JC/ldDjN0Gtq6uPvnkxzPr0UigUen+fPAZF/Bp0WTY7k1vL89Q2v07pMbRojCCdS+bd0K7ft8dXMH3x7MZcXRAmEDa6wvw1hfRmtnj04vKVAVWe4c58X3h/JEQheoRt7Xny4ZsCNosAeL/0zz44aR7hzOrubx1YmD+ppvb42hsqmde345RXljO1KJKpHYylifOZ8cvOD481c2puJla8Ld471wtDBk/elSdqVVCKOAr25K5aoRzlwf40aEqwURbqrRzRP5tfweX8jfif2v/5eD3+ML+T3+0laj1dia6qMvlw449ulmbYSDmSEVTe1C4I4uals6+XJfDh3dCmaGOJL9xmzi82q5uY//02B5dk4gc8Od+fN4Idd+dUSrW/VS4GJpREl9G//t8560NdVnSZwHN4/y0HnPlEolvLsonGkf7ud4fi270yqZFnx+30apVMITMwPxsjXlqb+SWHe6hJaObj6/KYr08kZ+OVrAxsRSnaEHau4Y68WmpHPvwXsnejPK24ZR3jbsTK3g5b9TKKlv455fT3FtlCsvXRWMuaEeGeVNPPLnaeGafWy6v8jiokeh5Nm1yaKurlviPNiTXqnqiogv5K7x3uf9GYcZHBKJhIWRLnywM5NvD+Zx9QgXnV1+a04V8+Qa8fvz16MFLB7phoFcRoSbJX8tG8O60yW8vS2dvOoWYVplapAD+nIp1y0/2u81/uPhPLxtTQSB6ppIF0HsKqlv45ovD/PZjZFMCrBnlJcNR7JrSOhnZHq8ny31rV3Ym/dwJLuGbWfL2ZlWITrDmBrImRRgx5bkMtHacm2Uq2AVI5FIGO1jQ1tXD2dLGwbV2f/pnmzRv2eHOlLe2N7vePdgWJtQorNw2R/XRLrwwXURor+jlYk+N8a6c2OsO/WtnWw9W84L68+KBDxNX0kjPRkRbhaDFmUWRbsS4WrBb/GFl1ToA9X9US6TUNPcKfJevBDOljRy2w/HWRTtiqmBnD3plf3aNAyEjYk+ejIpFU0DF5ksjfWob+2iqb2b5ftzWL7/0oiFB7OqeX5uEO9uz6CzW0FzRzfxebWUNbTx8a4srfequ7UxN8S6kV3RzFodI8i6CHe14Nc7RmFhrDpPS6USYr2sifWy5qX5IcTn1rAxqYxtZ8u0fofRr+/io8UR6MmkfLUvRyiemhvKuW+SL7eP8byoCQ9bUwO+WhLNyDd2CeLcoq+O8PTsQO4c53VFJruGxa5BoDaaNzGQC2KWZz8G6+pD8tFe34RJAXZalcmxvrbC5u7W0R4olCpFfsOZkn7FrqyKJracVVVI1H47m5LKuG+SD0FOZqK2xoen+rEwyoW3tqaTW9VCUnEDI710e06obwqa1Ld2svLEuY3zzrQKwlwtkPemzp3SWBDnhjtj1E83WlU/yrL5sNg1zCVmqN1ImRVNJBWpqioRbhZ8tV/3ghribI5CqfKzen79WS2hS30Q+mp/jlar78peX4W5YU7MCnVkjI8NR3Jq+HhXFjeMdBN1R1w9wgV7M0OW78/h24O5PDbdn+0pFaxNKOb6GFfSyhqR9Y4EFde1IZNKGOVtw7xwJ6ECr+nXNylAFTaxKFoldh3MqqK0vg3nXmPKgVrr7foRr4e5dFQ1dXDL9/GklzdhZiDn05simRyg7aWTXt7IG5vTREbDal5bECISugAczFV/O03fhNqWTr7Ym81v8QVaf3dNkcvF0oglcR5cG+1CZWMHXx/IZXNSKQezqnW+Ppwb749wtWBWqBOmhnJeWH+2359bLayB9vj7x7uy+GpfDtdGu7L78YlM/WB/v8+jJu6t3aJ/K5SIOhNM9GVIJJIL2oTnVbfw8sZUzA3l3BznwdrJYziUXc3KE0UU1LQKApO/gymLol1pau/msz6HqSvJaG8bfO1NWXmi6KICBfoTkNytjXGxNEKhVJJX3SI6KNuY6DMz1BFjPRkbdXS8fX8oT0icmuBvx7uLwgl2Mue/qxOHdBh7c0s6b27p3/fkUqDrvXPXOC+emBXQb3q2GlcrY5aO9eKrfTm8vyODqUH2g97oL4p2xcJIj7t/OcmO1Ar8n9/a72M1D71mhnJWnywSdW2qjYkBpgc7MM7Xlk92Z/H1gRz+SijmWG4No7ytVcEU3QpsTPR559pwkTjX3tXDY6vOsCW5XDSSO87PlmBnc55Zm8zPR/Ov2GHmf5VbRnuwfH8OaWWNrEko5voYN9HnNyaW8uSaRBRKuC7alSdnBTL7kwNkVTbz8t+pvLUwDFAdhq+NdmVGiANhL5/zINI0LteXSbkuxpV7J/jgaKHaj3y+J5t9GVXM+OgAj8/w57YxnujJpNw22kMYZ29q7+b2XpN7mVQiFEVmBKuEtE0a3V2q9UQ7PMTKWI/pwQ69eyVbDPVk3PXzCaF7SV8m5dHpfoCqG2Vzchmf7c7u1z/xfJgayAedcHcpeG+RKn31fFgai4WvLcnlPLtOPJHT1tWj5ad1zwRvgpzMSCxqEPaEatacKtZpV3Ax3DvRmzvHehGfV8vGxFJ21Fw68/uL/V5rNIRTHzsT7p3gw+wwR0wN5OxKq+TxVWdobO8+b0czqDwVpwbas2CEM6cL6/laY2x0IF7fLPaUvOGbY1qPcTA34MmZgWxKKuXdbQN3OfclqbiB2Dd3MS/cmZvj3Il0OxegIpNKGONryxhfW15dEMKk9/ZpdQA/uvKcOG4gl3L7GE/um+SD5SWc7HhiZoDQBdytUPL65jRSyxp5a2HYedfOS83g+9P+P0a9UdO8MBS9K31Dm/hiSStrZNvZchRKlfI6V4d4lVvVwvG8WmRSCbfEebJghKrjYm96FQ39XHxf7M1GqVT5dD02XTVOtbG3eqy5kfSwMebGWHfMDPWE9vR1p0v6fWPp6sr6/lCeqHV1h8aIZN8RxNHeNvS3rznVj3GgpfGw2DXMpcV6iIEHr29Oo6mjGyM9GWYGev12IwQ7mfOfaaoN1iYd7fgvXxWCgVxKYlG9IHCD6oC0OVn1+MUjVRucJ2aqrtu1CcUic2UzAzlx3jbcNsYDmVRCfF4tNqb6hLqY09GtYEmvMD7Gx4bM3o1dqIsFpgZy5unoynS3Nhb8YTxtTRjlZY1SiU7TWgBvO7FwP9zZdXlpaO0ShC47MwNWLRutJXQ1tHXx8t8pzP30EAezqtGTSbglzoMIV1VC2wR/O5bEeWg9d7irJaBK5Gzv6mH5/hwmvruX7w/p7uoFVaX921tjOPDkZO6b5IO9mSGhLhZ8dmMkjw+QsOZta8Jzc4LY8egEZoQ48s629AGFLlCN3t42WvV96xp97+hW8Ht8oUjo6vv+HAxL4tx5eIov/o5mOsUKQz0pD0/x5ewrM/nrvtEsjOw/CVltUHzV54c5XVjPm9eE8dtdo4R1O7OimTe3pP+rhC5QjcD8eqzgsiVnFta2cjS3hvi8WiqbOjA3lHN9jCu/3hlL/LNTefOaMJ6fF0z8s9PIe2sOGx4Yq/N+dSCziifXJDHvs0PnFbr6803sj3nhTixfEs2rC0JEoTgRrhbcP8lnUM+h3uNp3hd/PVbA/vOMV6q5d4I3Rnoy0subOD2EsIbCmlZh1F4XEgnMCXNk+ZJokUdsU3s3TR3dxHpa8861KqEjvVzc/WGkL+Pp2YGsunc0oOrOWZtQQme3gkkBdmz7zwSR0FXZ1M4N3xxjS3I5+jIpN8W6AyrxeoKfHVePcMFQT0pRbdsFiw/D6MbSWJ9Hevcgb25Jo0yjK/t0YR2Pr1IJXTfGuvHuonDszAx4/7oIJBL443ghvx7NFz1fxgDXWLSHFXeN98bdxhh9uZSHp/qx5ZHxxHpa09bVw+ub05j58QF2p1Vwy2gPnXv/HoUSVysj1t0/hteuDtUZ6tMXMwM5by0M441rwpgS6CDYuWgevKcHO+BqZcyRnGoWfHGYB38/TUZFEyb6Mu6d4M2XN0ed93U00bUuWBnrsTDKhSdmBuicZLkQvro5ivy35w5K6FLT1aMgPreGrw/k8uux/v0xNfnmQC7rTpdib27ATaPcOU8o5kXz9f5cYt/czUN/nGbHvzDlUU1OVQs/H83n0ZWJLPk+nne2pQ/axwxUhYR7JniTWdHcr9DVX8NHfxjIpdwx1gsTfTmPr05kb0ZVv+fogejoVvBXQjELvzzCnE8PsepkER3d4g79fRlVgtA13k93mJZUIsFYX37JPe7crFSdoF62Jrw8PxiZVMLahBJu+f44Te1D79i7GIY7uwZBhY75cbXAlNJn5nZfRhUmBqo3/twwJ52pBy//nQLA1EB7HC0McbQwJMDBjIze7q0bezcSavKrW4SxiIem+OFsacSLG86SWtZIdmWTyMvrljgP9OUqDXNhpEtvelQpN40SP6eazMomKpvahdSUhrYufur1Z3l7YRjPrT9LenmTYHSf3SdNRF8u5XSh7g1ZX/NtNRbDnV3DXGJsTIcmdh3o9cAKc7HgWJ7qfRrsZE5xXatoIWxq72Z6kAPediY6fWoSCutYPNKNX44W8NX+HMb0Gj9uTiqltbMHbzsTIckr0t2KmSGq8UTNtvlJgfboy6U4WRgxOcCeXWkVrDxRxB1jvXhsVaIgPM8PdxY6bOK8VfeVKHcrnC0MRR5LAY5mosr6NZEuxOfVsjmpjAcm+2r9DP72ZqKfzWHYU++y0d2j4N4VJwWha/W9o/HsM+697Ww5L2w4K7R/zwlz5JnZQbR29jDz4wIkEnhxXrDO7okpgfa8vTWdPemVRL22s9/RRD2ZhKtHuHDPBG/8HMy0Pt9fPLwmudUtvLEl7bypeIZ6UmK9bEgoqCOpuEFnfL2VsR51rV1M7U2K00x9HKw/lCYDGcwuinblvzMChMJNtIc10R7WvLkwjN1plfx5orDfTraLiW+XSGBxjBvJJQ0iz7X/BSb62/HmwrB+I80lEgkRbpZ8flMUn92oJLWskc1JZXw5RI+Z4zoE0oFobO+mrrWTuWFOXB3pwme7s/jxcD6JxQ3kVrdwS5zHoA+TYS4WPDjFl092ZbE/s4r7fkvgw+sjtLor+2JprM+sUEfWnS5hXUIJUe79Jzu2d/Ww7Ww5q04WDZiquDjGjXsmeqNQKFnyfbxW59xtoz14bm4wudWq/VqBjhCF9q4eYR3UxMfOVFQ8OpFfy0O/n6a8sR0LIz2+vDmKT3ZnAXB9jJsw7hLrZcOBzCpO5NUS6Kjb33WYC2PpWC/+TizlbEkjD/9xmt/uiqO1s5v7ViTQ2aNgRrADr18dJqwJkwLs+e+MAN7bnsGLf6dgbqTHghEutHR0s2j5UdFzh7qYI5NISCxu4GhuDdM+3M+CCJUHXYCjGb72pvx5TxyrThbx3vYMcqtauPPnk4z1tcHCSE9nd0xtSyfrTpdomdKDymdorI8tXQoF2ZXNJBU30NTRzbIVCdiaGnBNpDPXxbjh72Am+AQCBDubc9sPx9nf+5410Zdx13hv7hjrhYWx3qCvY13cPsaTeeFOhLpYEJ9Xy/aUcurbLs1h/L7fErhznBe3xHlorfWaVDa2szejkn0ZVRzKqhZ1ZkokEO5iwcQAeyYF2OFlY8KWs2U8t05cXDqQWaV1TV8V4cxITyuK69uE4I9/An25lEn+dsyLcMbF0pDdaZVsSirrN9DlYjEzkDM33ImrRjgjlUjYn1kleJillDYOac395IYRHMutZfXJIhKL6rnmyyP9PtbR3JAVd8Wy8kQR3x7MG9Tzd3Qr+OHwuceq9z+a6Aq0uW+Sj8qaZE8WGxJLRZ9PK2vkyTVJvLstnVviPFkS505bVw93/3JSeIx6X+NgbiBaM9q6evhoVyaf7cliXrgTd0/wJsTZYlA/y0CoLTkkwO1jvfCxN+X+FQkcz6tlyXfx/HLnqH9MDxgWuwaBLtPZqt5Z4LQ+VZIzRfXoyVR/4BkhjnjaaBsNq0UgTQHqmigX3t6azp+9qU+afLkvG4VSFa0e6qJ6A47zs2VfRhWPr9Y2ClUz3s9WGHm899dTWp9Xp2VtTCzjznFeAKw6oWp/D3Aw4/oYN9afUcXPbk8p546xXjqrdv1FvR/tZ7M23Nk1zKVmKJ1djuaGggHqCHdL4X06OdCO2pYuUTR2aUMbUqmEpWM8eWFDitZzrT9dwsp7RvNbvOqAnFzcQJirhTDCeH2Mm0iU+O+MALaniA/L0zUq6ItHurErrYK1CSUceNIfONdqPDXInre2qoQFdSeQVCphXoSzKJGnb3fojBBHnluvEsfzq1uw7iMMulqJD6j9jWgPc/G8tyODY7m1mOjL+PXOWNHmt761k+fWnxUMfb3tTHj1qlDG9Vbj1ElJ04MctBKs1Gia2+oSuoz1ZSyJ8+COsV5aXbqd3Qp2pJbzy5ECnSm6AMefm0rsG7t1fg5UXkG3jfHAw8aEhtYu7vz5BCcL6jicXc0Dk3yoa1VdX33NhBdFu/LtwTz2Z1axatlobo5z546fTvbzKhfOn/fECQmnfTHUkzE33Im54U40tHax9WwZa04VD+hVNVhGeloR5GTOztQKreTXoTLezxYXSyNR/PyVZn9mFWPf3gOoAg1uinXH195UpyBb09LJRzsz+903XErUh7/n1iUzysuGOWGOrLhrFG9tSSOxuGFIB+Q96ZXsSa/krnFemBjI2JJczn9WnqGjW6E1WtaXeeFOrDtdwuEcbRFVqVRytqSRlScL2XCmlKZBdB3cPcGbqqYO7vnlpKg4Y6Qn47WrQ1kU7Sr8G6Crj7/X7rQKXt6YInQ0T/C3w87UgL8Sivn+UB7lje18cF0E3x/K48OdmfQolPjYmfDdbSNJLmngeF4tBnIpd08458/la2fKgcyqy3aY/f8ZPZmUz2+MYt5nhziRX8dTfyUhl0oob2zH29aED66P0PJ6vH+SDxWN7fxytEBI+Nytcc3ZmRnww20jCevtFj5b0sAHOzLYm1HF2tMlrD1dwpRAe5ZN9GGkpxU3xLozJ9yJL/fm8MOhPJ2JcCvviWPxN8do7ezRErpujHVnYZQLMR5WovtCZkUTq08Wse50Sa+vZB7fHswjotc6RY06zEIulXDzKFUyrrrbMrGo/rxdxQOhDiDpi5mBnMmB9swIcaCotk1nWuFgUI9t68kkfHZjJNOCHJBJJaSUNrI7rZLd6RVaRSBrE30m+NkyMcCOCX522GhM4dQ0d6AnVY3X7T5P59zfvanBQ+XZOYG4WRnz3o6MCyo43RrnwQ2xbvjaq4pp5oaqc99QCxyD4ZnZgcJ47amCOraeLWP7EEZUDeRSgp3NOVvSQFePKoDj4al+fHB9BI/8eUbr8XPDVAE1k9/fR3ljO9M+PHBR339foWuEm6XgKexobsj8CCe+PZjHz0fyWTbRh49viOTBKX58vieLvxNLRb521c2dWkE+ajxtjLl3og8Lo1wwkMvYlFTKg7+fFj7frVCy/kwp68+UMs7XlrsneDPBz/aCx9Ire3USta/YeD87/rgnjlu+jyexuIG7fz7JL3fGDhjMd6n4Pyl2ffHFF7z33nuUl5cTERHBZ599Rmxs7GV7vb6jinAurSqnqlnrc109SiFFpT9crYyY4Gcn/Pu6aFc+3JFJYnGDcGAGKO1tLwd4cIqf8Phro1zZl1FFYp+2+C3JZYJBqFwm5eoRLnx3KE/wVtHkmTmBvLghhXWni7lznBc9CiW/HMsHVBtWqVTCzBBHjuXWsjGpTGeSQkVjOyf7ORhlVWr/bmC4s2uYS4/1EObMZ4c5Culyo31seKp3pnysjy16cqlI7EoqbqC0vo2AfirVZQ3tFNe1clWEM+tOl/DdoVzuGudNQmE9cqmEhVHiqr9mWheoDiNTAs+NsE0OsMPOzICqpg4OZokrdPk1LdS1dmFuKBe6xUBlsqopdmVVNtHR3SOMLlub6DPGx4aDWdVsTtZ9HWvSV/z6X+OfXj/UJBTWCX+n96+LEHU/HMut4dGVZyhraEcmlbBsojcPTfETbQL29m5q50U405f2rh4+3pXFtwd1V24N9aTcNtqTeyZ4izbNoBphWnGsgNUni7T8mSYF2OFobigIKwMJXaAKZjExkHF9jBtu1sasuGsUz/QaWn+6J5u54U6sf2As3x3MZf2Zcxvwbw+qDJBzq1tY+OWRfsW8i+WGb45xfYwrc8OdGeNjo+VXqcbUUI67tTF+DmYXLHYZyKWCifiJ/DpO6Bjr97Axxs7UYEgJh/11nf0TPDM7kJtGuaMEDmZW89X+bM6WiCvmPx7OF+6v4/1seWCyL8HO5qw6UaTlY6JmWpAD718XTlZlM29tSevX3Lo/fr4jFh87E1adKGLlySKtAqVCeS7ZTNNTqC/XRbuy+jx+Md/1eo0FOpqRXt7EM2uTcbE0YqyOOHc1kb3dXLlVLTS2d2FuqEddSyfrz5Sw8kTRgOObdmYG3BLnwZI4D/6z8gwHMquY9qG2n12EmyUfLx4h2neqBW91t39qaSPvbk8XfGSdLAx5aX4wM0McVeneAXY8vuqMVore1SOcef2aMBraugRR4f5JvqJOPtPeiYaBjPP/F7hS64enrQlf3BzFHT+dEFkSvHddOGaG2ntqiUTCy/NDKGtoZ2dqBRvOiAWP489OFR1iQ10s+HFpLIlF9Xx9IIetZ8sFgTfK3ZJlE32YFuTAw1N9OZ6n24B+sQ5fIlB53D063R8TA+0jp7+DGc/NDebJWYHsy6hi9cki9qRX6kzQHetrw5vXhPWmb6uoaupgwReHdb6uLp6fG9TvfUiT5+YEcesYD7Iqmvn+UJ5gG3MxdPUoWbYiod/PR7haMDnQnkkB9oS5WIgEzOK6VranVLAjpZwT+bUigcPTxpiZIY7E+dhQVNvKizoKs0PlYr0QvzuUJ9wrLzdvbU3nra0X/v12dCs4XViPqYGcrp5uOroVAyYFb04uE2xKNInxsLokxTG10HV9jCvPzQnG3EjO/swqMiuaWX2yiLvGe+NrbyqIXh/tzNT5/WjyzOxA7hrvLXpPzQt3Ri6VcN9vCSiVqmmwHqWSTUllQiBCoKMZd4/3Zn6Es7CODJbk3ms4QGN6INTFgt/uimPx10c5nl/Lk2uS+OSGEZfd53FIYldRURFuboOfO74crFy5kscee4zly5czatQoPv74Y2bOnElGRgb29toGv5cCXbPdVU0dtHR0k9Mr6Pg7mJKpMeI30d9O62s0uTbKVZTGYWNqwOwwRzacKeX34wW85RoOqLwhuhVKRnlZiw64M0J0p/okFNZTUt8mbEJuGe3R7w1nXrgzr25M5WxJI5kVTRTWtFJU24ZFb8szwPwIZ97YnEZiUb1WkgmoTIUHSuLShYXRpTPAG2YYGJqAqpkSamGkR2VTB/pyKVEeVjrn5red1W5pH+9ni6uVMX8cL2Tt6RLuGOvFutMlbE0uF1KF5oU7CePBavb3aTEPc7UQEhRBJVAvinblq305/HFc3Lmh7hab4G8nOqRH9Po0qalr7WLb2XLReM2cMCcOZlWzJbmM8j6dJX0PJ/0JAJeKTz/9lEWLFuHsrC3aXG6uxPoBqu6Nl/9OUW0oolyY3evlqFQq+f5QHm9uSUOhVHkbfHLDCMF7S01nt0IYV9dcBwDic2t4em2yzoIGqEJQHtKogqtf90R+HT8ezmN7SrnOe/i7i8KpauoYcNOnxsXSiLauHioaO/hsTzaf781mvJ8dN8W68c614QQ5mfHutgw2J5Wp1pIbI7lngg9zPj0oPIdmZHt2n0LJn/fEcbqw/oIr65qsOlnMqpMqQWNhlAsLRrgwxscGmUSiEd1ddtHJfoM59BfUtIqSmaxN9PF3MKWzW0FtS6coaODfwDvb0jmaW8O1Ua5MD3ZgbrgTCoWSpJIG/ogvZOVJ8T1roHADgN/vHsUYH1saWrvYkKgSfi5kxPO2H44DqvGTQ09NYW96Jb8eK9D52v0JXQDedqZ42Zr0ey1pohaoehRKHvg9gY0PjhPS6vpibaIvdNl/vT+HzIpm9mVUCuneuohws+SOsZ7MDnUSDhkvzgti2ofao4ePTPXjwSm+Wvfu/N6fQyKR8Mifp/m7d/RFLpVw5zgvHp7qJxIgZoc68udxa9EI5TvXhnF9jBvtXQru/y2BhrYuwl0tuK+P55l67OpyVumv5NoBV279UDPR3473FoULSYiA1lqhyc60ChJ0HL6vj3Ht93AZ4WbJlzdHk1fdwjcHcvnrVDEJhfXc8+spkYA/EA9M9uGLvec6eL47lMempDKenRvE/HAnna+tJ5MyPdiB6cEOFNS0MPG9fVqPOZ5Xy+ub01gwwpmpgQ4olEpGvrHrvN+PZrDWYIQuYFAj+peSXY9NELqg1JTUt7ElqYxNyWVajQ0hzubMDHFkZogj/g6mNLZ3symplI93ZQ3pdb+6OQp3G2N+Opx/XqFfE29bEwz1ZMhlEtLLmi6bN+Slws7MgDmhjswNdybGwwqpVEJ2ZTM7UsvZmVrBmaL6AYNs9GXS8/6Ml0Lo0mRfRhXBTsXMCXNiSZwHL25IYUdKhSjx1tfelMdm+FNY20pyibZArOa97RkU17Xx8FTxXnBWqBPPzVEJwBuTSln/wFiemBnAj4fz+fO4Kr3z8dWJfLAjg0em+XFtlKuo47I/lEqlYPnQtxAU7GzOt7fFsOS7eP5OLGWkpxW3jPYc4m9naEiUyr5Tof1jYmLC448/ztNPP42xse5F/XIzatQoRo4cyeeffw6AQqHAzc2Nhx56iKeffvq8X9/Y2IiFhQUNDQ2Ymw/OV2Dpj8fZ21sJM5BLMdST0dDWxaaHxnH7jyeobu7gm1uiuUdjVPDnO2KZ6G+HUqnE65ktWs958yh33rgmTPSx43m1XP/1UYz1ZRx7dip6Uimj395NfWsXX98Szcxew3k1nk9vFv7/3UXhrDlVzPG8Wp6fGyS6GDQfp0niizP475pEdqZWsGyiDymlDRzMqubeCd48MydIeNxdP59kV9qlMyDUdVMfZpiLpb/3eV8WRrkI3ZLTguzZlVbJGB8bfr87jp2pFaIZd4BYT2uaOrpFEc+3xHlw1Qhnrlt+FBN9GSefn84N3x4TbUg2PjhO6NAUvu77eNEBzM/elJ2PTRQ95nx+SR8tjuCaSFfh3+1dPQS+sE30mPF+tvx65yjh37UtncS8vlOnqHHDSDfRSFT+23P7fW1dDPWeKpVK8fLyYt++faLiSWdnJ8nJyURHRw/p9YfCxawfF7J2qNmbUcnSH09grC/j4JOTsTE1oLNbwdNrk4T34sJIF167OlRn9buyqZ3YN3YjkUDum3OQSCS0d/Xw1pY0IRGrP56eHciyiaqDaXePgi1ny/nmQI6oI2e0tw0tnd06/bQ0iXS35Kubo3G0MKSrR8F/VycKHQP3T/IhyMmclSeKhIh0UB30r4pwxtfelK8P5AijUxGuFlQ3d2qlBPXl3UXhTA9yYN5nhyipbyPUxZyZwY58sFO7TV8Xs0MdmRvuxNbk8vNWP68U+nKpMN6SVdnE5qQyNiWVDUp0uZzIpRJCnM3pUSppau8WCXOWxnpcE+nCDSPdCXBUrec9CiWbkkp1jn5ooieT8NHiEZgayFmbUHJBYzYDMSfMkefmBtPc3s09v57Uinq/HOjLpaS9OktrnKy7R8GRnBpu7RXkBkIulTAnzInbx3pqeXtllDcx82PxuEyEmyXvLwrX6bsHcP9vp9iSLB7nmR/hzGPT/bUmD07m1/LcurNaVhVqIe2+FQnsSqvAwkiPjQ+Ow72PRceS7+I5lF3Nm9eE9esRq4uh3Fev5NoBV279ED1PexfhGmmK4/1s+eLmKGFMDNBaG/zsTQl0Mhd1J+15fCLedufvoK1saufHw/mC/9FQ+fLmKN7amibc98NdLXhqVmC/nZCnC+t45M8zFz0Oq5lQOivEkW0p/Y+1uVsb88PtMbhaGfPUX0laXXC6eHZOIHeOU52z/kooFlLnLpYFI5zxsDbmUHa1qHtOKoEYT2tmhjgyI9gBN2tjunsUHMyu5su92To7hy8nnjbGLInzYFaoI/oyKc+vP/uvNaq/MdadZ+cE6uyAVFNa38aY3lH8gTDRl9GjVA6YaH450Eyyznh9Ft09SrYkq6wWdIX9qDHSk+FgbiAUzoz1Zdw1zot7JvoIhXalUsmyFafYnlJBoKMZmx8ej0wqoaFNZTvx4+E8oVva286EJ2YEMCvUccBurAOZVdz6w3GM9WXEPztV5+/+u4O5vL45DWN9GTsfm9iv5+dADPa+OqTOrp07d/Loo4/y/fff88Ybb3D77bcP+Ru7GDo7Ozl16hTPPPOM8DGpVMq0adM4evSozq/p6Oigo+NcS3tj49Crhppqr5u1MeaGchIK6zlb0kB1s+q5R/uIfUBG9aYG5fazWf0tvlBL7BrpaYWfvSlZlc2sSyjBQC6lvrULVysjpgXp7uRSM9bXlo6uHo7nqUYO1WJX3xQeTXaklrMw0oWdqRUs369ayCQStFK+FkW7XFKxSy4dDgEd5sqhFhfgnN+ceuO1/ox2YqEu/6KyhnZiPKxwszaiqLaNHanlLBnlLohdIz2ttISujPImrU6DwtpW6lo6sdLwHPOyNSHC1UJo45dLJYLHkVQCE/3FFeRtGt4E6hGdw9nVVDS242Cu6iyzNtEnws1SZIyv5kpU5KZNm8bEiRPZv3+/cGipq6sjNjaWnp5LmwijZqjrx6VYO9Ss7O3Su2GkOzamBrR0dHPfbwkcyKxCJpXwwtwgbhvj2e/mQd0BIu89SBfVtnL/bwk6K3nu1sa8dnUoxXWtPLfuLO9uS8fVyoi6lk6+OZgrHDoM5FIWRrlw2xhPkosbeOI8m/W+4q2eTMpH14/A2kSfHw/n8+W+HCYH2PHFTVHUt3Wy8kQRa04VU9nUodMPRdeYii6eXJPEtVGulNS34WFjzEfXjxh0dR5g69lytp4t596J3qS/NotDWdW8vS1dq3tsKNiZGfDuteGkljXy16niftf5wdLZrdDpq3ml6VYohb+TVAL2Zga0dfXQ0qGKbVePLMqkEmQSyaDvJV09SpFXyPkIc7Hggck+BDqas+50CWtPF/eboAuwJblcS+TRhYeNMaO8rDmcXTOg6KruaFGlonqSWdEkEnRB9Tf0eXYL390aw5RAe84U1/P3mVI2JZWet0vQwdyAxTFu3DTKQ8tLr7tHwaOrEnWOUd0/yUen0FVa38ZX+3JEv4MJ/nY8OTNA8H1VU1Tbyjvb0oW0YStjPVWxUwlP/pXEJ7uz+OZALm1dPRjIpXx/W4yW0NXa2S2sk307Ty81V2LtgCu7fmhyWGMPYaQn42BWNQs+P8xXS6IIdDSnvKGde389KVy390zw5vEZ/hjIZWxPKRd8Hed+eoiXrwrW8hXti72ZIeN8bQcUuz5aHMHUIAeRCKdmR0o5n94QycGsar7en0NScQM3fxfPeD9bnpwZKKwp6i7nt7em061Q4mJpxOxQxyGNwr12dSjfHsilsLZVVJxUC11qn2I1AQ5mlDa0UVjbOiTfpYn+dnjYmNDVo8BQT8aiKFd87U15b1tGv8Fcg6Wv0OZta8LSsZ7MCnUSOnIyypt4ck2i0KE8EAZyKdOCHFgwwplQFwvWnS4ZVLe2GlcrI2RSiVbBIL+mldc3pw1pLR4MNib6zAt3YkGkC41tXdz/W0K/QTuD5Y/jhaw7Xcz0YEcWRrow3s9W1J30nz9Pi2wVBqKls0fY919q7h7vxX+m+bMjtZyv9uWIpsU0fwcBz4uL233N7O3MDJjob8ffiaW0dfVQ3tjOlEB7KpvaOVvSyKd7svnzRBHPzgliwQhnJBIJb14TRnxeLenlTfydWMI1ka5YGOmxbKIPt4/xZMWxAr7cl0NuVQv3/ZZAuKsFT84MFDxlNVEolHzYW4y8PsatX5HxjrFe7Eip4Hh+LW9tSePzm4aWqDoUhiR2jRkzhvj4eH755Reee+45PvvsMz7++GPGjx9/ub4/EdXV1fT09ODgIBZ+HBwcSE/XPd7w1ltv8corr1zU62qa/rpYGmFrakBCYb2w2bE01tP6Y6pbuY8NcONr7ezGWP/cn0AikXDLaFWr4neHcgXPndtGe2pVC/tu1NclFLN4pDsv/Z1CYlE9uVXNeNuZimb71YzxseFITg2bksr45tZozA3lgsnp1EAHrVb8KYHi37emwnwhDHHqcZhhLjtjfW1pbO9i1yArU4ezq2np7OHqES58tiebbWfLef3qUOHzug4gP+jYtHV0K1hxrICHpvqJPj7ax1bYrK64axQ39HphWJsYaJnxr9IYHepRKAXPr7/PlIoMhCf52+sWu/5hjxWJRMJrr72Gvb291qFlCI3GQ2ao68elWDsAOrp72JOhElWvjXahrbOHpT+d4HheLUZ6Mr5aEsWkgIFHYGx6/+ZdPUrWnS7hlY2pWl6Sfb2+lEol8bm1/J0oNiG1NtHnttGqtJ7kkgbe2JzW76jZ83ODWL4/h+rmTp1ChlQq4aX5IYQ4W/DcumT2ZlQx97ODvH9dBE/OCuTR6f58siuLz/dqj8APhb8SVJv6qYEO3PhtPNXNqtHjByb5klXZJBzUB+Lr/bkXnUZ18yh3Ah3N2J5SwdKfTlzUcw3kHdUf/g6mmBjIdV7HlxuFEiqbtMN6QHXf6dGxsr+7KJx54U50K5RsOFM6ZBPpif523DvRm9HeNsKB/NHp/jwy1Y/4vFr+PFHI1rPlF3wPK6hppaKxnenBjgOKXVbG+gQ6mbEvo4ofDufxn2l+PD7Dn8dXJ2p5rd31y+CCFSQSVdDIjbHuTA6w0zkasjGxlIf+EIuC10a5oieT8OeJIjacKRF1/GdXNrN8fw7rT5eIQiB+WjpS6x5T19LJ8gM5/Hg4n85uBRKJqsv3yZmBQvHlYHY1G3sPTABfLYnSmTC+4Uwpnd0KPGyM8Xe4PH57cOXWDrhy60df1GO+N4x04+ZRHixbcYq86hau/uIwC6Nc2ZlaQVVTB5bGeny0eIQQZgOqDid1F2VbVw9P/ZXM5uRy3rg6VOcIbmN7F8/8lazVEetmbYRCAWUNbSiU8OjKRBzNDbl9jCfbzpYLAUCAYHg93s+WNxeGcbqwnt/iC3pHnA8JJvjrTpcIfqnzwp1445ow6lo6hyR26bq/uFsbMy/ciTlhToQ4m9OtUPLF3mw+25OtM3BrMOzPrNKypLhc5Fa38MKGFIrr26ht7hzUqKFUotrTLhjhwjhfWw5nV/c71n0+Rnvb8HhvenFxXSsv/51yWcNF9OVSjubWcCCr+pJ2Nrd3KdiYWMrGxFIczA1YGOVKWX1bvyKXk4Wh0EVXXN8m6twbqtC1Ztlo4vNqzysyfnswj5MFdTw/N5gdj06kvKGdDWdKzutHFuBgJozVx3hY8eXNUdibG/LAZF+eXZvM0dwa9qRXEuxkziNT/Vh/poSCmlb+s/IMv8cX8urVIQQ6mnPPBG/e3ZbBZ3uyuXqEi7DmGuqpkk8Xj3Tju4N5fHcwl6TiBpZ8H884X1temh8sOvOsPFnEmaJ6TPRl3N9n3F0TqVTCy1eFMOfTg2xOLuM/lc2Xza/1ggzqb731VhYtWsTbb7/N7NmzmTVrFu+99x5eXl6X+vu7aJ555hkee+wx4d+NjY1D9h3T3I+6WBkJCYtqw2BHc0NdXwZAQkE9oDta9IMdmbwwL1j0sUXRrny0M1O4mIz1ZVw/Uvv7ffovcRV+xbFC7p3ow6QAe/akV7LyRBFPzQpko44L+eWrQpjx0QEOZ1fT2tHD1CAHQRS7fYyn1uPV6ZJqYjytMTeUD+qAMcww/xS+9qaD7tZQ+6eoCXexYE1CMR3dCnztTZngZyeKBu5LW1cPm5NKmR7swGd7stmfWSXqGCvtc3AqqW9j7WnxJuX+ST58uS+H348Xct8kH9Fhp6P7nJisaWrftwBbVNvKkZwaJBJwMjektKEdJwtDqpo6WHe6RCR2TQywEyW0mOjLaOnsuWKGwq+99prKFLn30KKvr3/ZTSqHwqVYOwCVn0W3AitjPfwdzLjr55Mcz6vFzEDOL3fGCubVA2GoJ8PZQvX31fRrUeNjZ8JHi895fbV39bDiWAEH+oQczA134vm5QWxMLOWaL4/oHBWxMdHnoSm+3BDrjqGejB0pFVQ315JX3dJv18aiaFcCHc1YtuIUxXVtgjirFl4vFZrX5G93jeL1TakkFjcgl0p4aX4wS+I8SCltZOWJoouKou+P3+ILz/+gXvRkEgzlqk6CvumTMLB3lC5sTfUprmu76Cq3mrvHexHrZUN5Qxtbz5ZzLLdmyP6bA+FjZ8L60yU89VeSVoT6YIlwtSDSzUrrviCVShjtY8MoL2vmhlWILCQGg7u1MQZyKfk1LcIhaCDKG9tp6TzX4f/xriwqmzrY8Z8JvL01fUgHckdzQ64f6cbikW79jm2klDYw99NDWh/f+99JeNmacKqgjj9PFHEstxalUklySQNf7s1he2q51u/68en+IqGrqb2LHw7l893BXMFna4yPDc/PDSbY+dwYSF51i8jvKdTFXKvwCapiiTp445Y4j3/kHv5vXzvg0q0ffanoFZLcrI0Jc7Vg40PjhOCC33vvT1bGemx4QHvU1KU3fOa6aFd87E35cGcmBzKrmPHRAR6b7s9tYzzRl0upaGznh0N5fH1AXBz47wx/bhntKXiklta38Xt8IX8cL6S8sV1nBy+o9i1q/74QZ3Pum+RLdmUT2zRM8NU8PzeIpWO92J9ZqeVbqgsXS6MBhWofO1VYmIulERKJBD2ZhEem+iGVSITuk/Px7qJwrot2paWzh8/2ZA1YNLlhpBvPzA7CwliPju4ePt2dJfIvOx/WJvqC76smgynUBDuZszDKhVmhjqSUNrLhTAn/Xa29X9CFi6URLZ2qjl1NVp8qHpKX18VS1tBO2eCavi+YisaOfjsV753ozexQJyJcLZBIJGRXNp23630gHp7qR7SHlc7R2Ien+LJskg8KpaoYvnx/DqcL67n2qyOM97NlhJsl8bn9jyiq0Qw4+fTGSOx7NQkvWxN+v3sUq08V88bmNFLLGsmpauapWYG0dnbz+d5sjufXMv+zQzw42Y/bxnjw6e4scqtaSCpuIKJPmJWZoR6PTvfn1tEefLE3hxXHCjiUXc3sTw6ydKwnj0zzp6KxnVc3pgKqwpT9APoIqPy71Kmia04V8/TswPP+vBfCRaUxzpgxg8bGRj777DM2b97MQw89xIsvvoip6eVR5mxtbZHJZFRUiLsvKioqcHR01Pk1BgYGGBgY6PzcYFFqVCxdLI0IcVa13bb0bjqdLAy1qkrVzR3YmhqQVFwPqJJU6vpUY78/lMfzc4NEi7SxvpzbxngKJoPXRLpomW8rlUrBCM9IT4aJgZzyxnY2J5VxY6w7e3rfNBP87ShtaMfMQM4YXxu2p6h+b7lVLQQ7mZNa1sjfiaXYa5jVedlpJ0j2TQoKcjTD1970gsWuy12BG+b/T2Tn2exqdlJMDrAXLeBSqYT1vYLvNZEuRLha6hS7nC0MuTnOg/e2Z7D6ZDGr7h2Ng7kBFY0dIjPT/ZlVlNa34dx7mPlqX7bIjDjWy5pHpvnx54kiyhra2ZtRxfRg1UGiR6EUhHSAz/acMxzt7lGgVCqFe8aa3p9hrI8tke6WfLYnGxsTffRkElLLGsmqaBIqLuF9xlc8bExILWukoEZcPdN8/suB5vX/6quvCoeWP//887K9Jgx9/bgUawdAcZ1qI+5rb8obm9PYn1mFkZ6Mn+4YOSihC1TvidI+wQJqbhrlzovzgjHUk9Hdo2BtQgkf7cqkrPfxmoJT35S1vjwxM4A7xnphpH/OZDrKw4rj+bXE59awKNq13691sTTi5lEeIhN59eteG+XKtVEujPK26R2JaOHvM6WsP1NCzgXEmgNct1w1OiSXSvj1zlGClYCPnSkxnlbkVbdojZpdbkz0ZUwOtGdOmBOTAuww1pdT1tDGxsTSi0636m8UzsZEnymB9ujJpaw+WdSv6blcKiHM1YKM8iZaO3v49mAe3x7Mw8XSiDlhjtw13ouKxg62ni3nSHa1ToFuKORUtVzw31bNp3uyhWCch6b48uAUXwzkMjLKm1h/poS/z5Se1/NNF+fzAxrvZ8uh7GqRcNTULjYv/j2+UBAXBouRnoxDT03u1+D3dGEd13x5ROvjag9YNWEuFkgkKi/GsW/vEd0bpgc7UNPcQUJhPS6WRtw5XlWErmxq56fD+fx6rED4WYKczPnvDH+mBNqL7vkbzpTw3LqzIguPnMoWYV+ryfe9ad+2pgYs1lGYvZRcqbUDrtz60Rd1ccqgN7TA2kSfu8d7cUCj06ihrYtD2dXcYOUmCsKK7l1vjuXV8O6icGYEO/DM2mTi82p5Y0sab25Nw87UgPrWLq1O3tMvTBfZLQA4Wxrx35kBPDTVlx0pFaw+VczBrCotwVWpVHVr7UqrIKW0kZTSRqyM9Rjra6vVbTTU0Tj19W9mIGdGiCPediaiDpq9GVXszVDZBcR5W+NgZkhCYd2gwz92PTaBpOIG7v7lFAeyqs7bRfrniSJ2plYwK9SR+RHO3DPBB08bk0ELJrUtncwOdWTr2fOPYavxtjXhvevC6ehSsOFMKa9v3jvor5sX7sS8CGf8NTpzmju6eWdr+mUpGIU4m7MkzoPcqma+PTj0tMb7J/kwM8SRMBcLUssa+eN4IRvOlA5oLj9YFka5MDnAHh87E55ff3ZIxa3+CHU21+nb/drVodyiYRn08FQ/5oQ5Muvjg3QrlFrhLuP9zl0rd4/36vd3N+btPUwLsufmUR5M8LdDJpVwfYwbkwPseeqvJPakV/LqplTmhqmSsT/YkcnO1Ao+2pXJtpRy3KyMyapsZmdqhZbYpcbG1IAX5wezdKwnr21KZUdqBd8ezOO3+EKhGDfGx4Y7xg6uAeraaFd2p1eyPaX83yF2LV++nBMnTnDixAnS0tKQSqWEhoaybNkyIiIi+PPPPwkODmbt2rXExMRc8m9WX1+f6Ohodu/ezdVXXw2oDCJ3797Ngw8+eMlfT41C495mZ2pAiLPYBM3J0kg40KjZm17JnDAnsqtUnSaaGyUzQ7nw76M5NYzpY9R49QgXQexytdJuLd6uYbS46t7R7Muo5IOdmXx3KJf1948VDt8P/q6KuJ0e4sD+jHML4ae7s7g+xpWXN6bye3wh9ubnFuRfjxZovdm29zF2LK5vI66PR9lQGJa6hrkcSKUDCzTzwp2E6kqsl7VI7MqpahY6pK6KcMbe3EDnuO6iGDcWRbvywY4MThbUkV/TwtQgB+HQ42BugKOFEYlF9fydWMqyiT6U1rcJSYpqlo7xxEAu47poV74+kMtv8QWC2LUztUK0EftFw4C8rrWLlNJGQl0s6OpRCCOM18W4YmtqoGrNL29ivJ8de3oXD7XYld9H1PK0NSa1rFHkCwCqjc5ARp4XyxtvvIGJyTlRXT3qMX/+/Mv2mnDl1o+W3k3Yifw6wUT2o8UjiPbQHgfSRY9CyRM6qrOGelLevCaMhVEqAWpvRiVvbE4TuhudLQx5ZJofPnamfLkvR1Q918WJ56aJUnrUjPO1Zfn+HHamVdDe1SNKW+tRKDmQWcWfJwrZk95/ulxTexeuVsbCOL6HjQkP9Rpfp5Q28uvRAq0kv8HSrVDy54lCDmRVUVbfxo7UCtF1G+5qgZuV8ZDM6fVlUhRK5ZAFn+fmBjMzxIEepZLVJ4vZlFR6WY2DXSyNCHUxZ+vZctFm39xQjr5cSo9CSWN7Nz0K1c9yurCeYCdzzI1UW7+k4gZK6tu0hK954U78fCT/gpIRh4q3rQm3j/Xk2ihXTAzk1Ld28uHOTNF9D+CzParRo76YGsiZFerIddGuxHpZs/5MCY+uPH83g3qfpAtd4z7n82kZzFhqW1cPa0+XsDDSRRC8ehRKdqVV8NRfSVpdFfdO9ObpWYEiIaqyqZ0/4osEQaG0oR25VMJVEc4sm+RDRnmTMPr42tUhVDR28M2BNP5KKBYO6j52Jjw63Z85oU6idbOhtYtXN6UKY8OxntZ8flMkd/58kuSSBtYmFHPPhHNjKSmlDXzU2x3z1KyAy7puwJVbO+DKrR99sTJW/Y7V3T+nC+u45xdVZ6ObtRHGenIyKpp4dl0yq08V8fzcIGGtGe1jg4m+jKLaNo7l1jLax4Y/7o7j873ZfLgzE6WOUWVLYz22PjJeS+jSxEAuY36EM/MjnCmtb+PWH45rddlvSirDz96USHdLwSPvQsbq+jIrxJGrI52ZFGCPoZ6Mrh4FH+zI0OpSVXmZatvKTA6wEwLIdNHXy8vTxlg13hbiQKSbKtWvR6EkPk9lDbPtbDk1LZ38Fl+oUyzpr3NLk6EIXaAadbz2K92+1X1xszZiXrgz88KdCHYyF91bSurb2JxUyqaksvOG1VwoKaWNPLM2+YK/fsOZUnqUSvTlUkJdLHjjmjCenRPEpqRS/jiuGp+7UNYmlIgmNPrSXyLju4vCeW97hs4u9v66jl0sVR1P9a2d7EipYHNyGYf7KTKZGcqFRHXgvEEAu9Iq2ZVWiauVETfGunN9jBt2ZgZ8d2sMPxxW+eJtTi4jsbie5UuimR/hzEsbzop87pIGSHZU42ZtzDe3xrA3o5InVieKCnKvXx163jOZmjG9ekJedQv1rZ1YGvd/r7lQhiR2vfHGG4waNYpbb72VuLg4oqOjMTI614Z9zz338Oabb3L77bdz9uzQvBkGy2OPPcZtt91GTEwMsbGxfPzxx7S0tLB06dLL8noAmn7qlsZ6WBrri1pn7UwNtIyCvz2Yi7u1MUqlajOWrzF7bCCX0YRqY/rsumT2PTFZ9LUHNarRh7OrtSKel61IEP4/zNUCFysjvtiXzdmSRk4W1HFdtBuf780WxiadLYyo6b256sulpJY1Ym6kh4FcSkZFk2hu/Y/jhTwy1U9U2e+7ICUU1DFigLjjYYb5N2KlcQOtaxVvNt7vrQRqetaN87XVWlSui3bFwdyQif6qDdKaU8VM8LMVxK4HJqvi3xOL6ll/uoRlE334al+OSARwtjAUhK0bY935+kAu+zOrKKptxc3amG8PqtrV54Y56Tygb0wqJdTFgh0pFZQ1tGNrqs+sUEcUCtXoVGlDO1dHurAnvZKdqRU8OEXlB9Y3ZMLDRruLE1Sb6Mt5aNE0+FXzyiuvoKenx/vvv3/ZXheuzPphZiheZu+f5MOsUN2dyH1RKpU8ty6ZtTq8F1ffO4YwVwvyqlt4bVOqIGZZGutx/yQfXK1UceK6Ahb68sTMAJ1CF6gOSOr1bnNSGddGu1JU28rqk0WsOlks8mdRj1FcFeGMgZ6Mj3epRIsdqRXsy6zirnFe3DvBB4veA5tEIiHUxYJ3FoUzP8KZJd/HD+r30hddIwIPTfElxtOa9adLdHpXDsSFhjY8uy6ZZ9dpb+SlElWRp2/HQ1/D5KFSUt8m6mxaOtaT+RHOjHC1FDaadS2dbD1bzsbEUo7l1ZDau6GVSiDS3QpzQzk9SlV6klr4+qe4c5wXz84JEnmSWhrr8+qCUF5dEEppfRszPjowYNX+9jGePDzVj/rWTgKe3yb62xnIpSwe6aYlnAH9Cl39cT6flsGOpT65Jonl+3K4b5IPtS2dfLwrS+s9MDvUkfevixCSWZVKJQmFdfx8pICtZ8tE68kYHxs+WjwCB3NDjuRUC2NLY3xsWHOqmK1nz402RrlbsmyiD9OCHLQOIjtTK3huXTKVTR1IJPDQZF8enuqHXKb6HSaXNLApqUwQu6qaOrjnl1N09iiYHuwwYNfnpeJKrh1wZdaPvnj2pmimljVSUt/G3b+coq2rhwn+dnx7azRyqZSfj+Tz/o6M3pGoo8wOdeSpWYF42pqwINKF3+ML+WR3JgGO0Xy1L3vARN+7xnnhZDH4lDRnSyOWL4kSRCJPG2OheJdV2UxWZTPeOiZILpSxfrbMCnUS/l3b0olCqRqdvHu8tzBi2x8DCV19Wb1sNDEe2mPVMqmEOC8b5FIpPT3KAQs3c8IcmRXiRIynFe9tz+D7IYxAXyhOFobMDXNifoQz4b3jeWoqG9vZnKxK/z1VcOkKM+P9bMmsaBryffZ8lNS3Cf6bgY5mLIxyYX6EMyHOFkwJ7CC9vPGyJSV29qhCSiYF2BPnbcO3B3Ipb2wfdBKneqIK4I/jRfx0pECrizrQ0Yw5YU7MCVONor66MZWalk6RQFhQ04qtqT7PzA5iYZQLTR3drDlZzC9H80WF8uK6Nt7bnsFHOzOZFerIkjgP7hznRYynNQ/9kUBRbRuLvz7KV0ui2fnYRJ5YnShcDwcyq2jp6NaZDt6XGA8rnC2NRGLXbT8e55MbIrVShXVhaawvTCCU1LddebGrqOj8ldc777yTF1544YK/ofOxePFiqqqqePHFFykvL2fEiBFs27ZNyzTyUmKsd+7XpK5uhLtaCJtMCyM9zvYRuzIrmjndqzCrN2qO5obUtXYKCY6gSrTIq24RxUCv0bhRHsqu5nheLbG96Y6aXj6zew9M1ib6XBvlym/xhXx3MI+X5geLDIHr21RvwOtjXLE2MWD5/hx+PpLP3HAnQcWOcLWgtrWToto21p0uEaKjm9q7tJTysoZ20ciWmmlBDuxOrzivP8c/bYg9zP8fFGuMpkglYq+9aA8rcqrOVRp/PiLe3KkraUvHegof03X4Vwth18W4sTdD5dOluRiEuljgY2vKSxtSSC9vYm9GpVZX181xHkJV39PWRGhP/v14IdOC7DlVUIe+TMpL84NFYtd7i8J5Yk0Su9MqeWZ2ED/2jlneFOsuhFmEu1pyqqAOcyM9JBJV4l15QzuOFobs7CPcqccg+nIxh++L4fnnn+f555+/rK9xJdYPTePfAAcz/jPNf9Bf++W+HP48oXvdtTHV58MdGXy1XyWmyqUSbh/jiZ+DKT8cyheKGHoyCdEeVhTWtPY7Cjl5AIN8mVTCzXHuvLstg8dXJ7LyZBHHNaKuLY31uCbShetj3AhyEnc9vzQ/hBtj3XllYwqHs2v4cl8Ovx4r4K5x3iwd54m5hqiaV33h6Yi60NUFdDFYGusxN8yJ2aFOjPK2Rk8mJbeqmafXJot+H7rQvBfpy6QYyKVIJFzyTfnW5HLkUgn6MikhzqqqvZWJPjeNcuemUe5UNLazKamMjYmlnCmqH9Lhxs3aiGh3q0GnVg2G7w/lsTutgptGuXNdtBtWJvq0d/WwK62C9adL2Z/Zf7egms/3ZusMQPjw+giuiVSZ7L40P4Rn1yYPeAj99tYYTuTXnvdwHOFqQVVTR7/X0kCoRePc6hadY01R7pZ8ckOkcM+obGpnXUIJq08VizplotwtSei1xXjlqhAczA05mlPDTd+eE4uP5JzrYpkaaM+yST6M1GEun1/dwqsaYrm3rQnvLgoXGdFPCVTdH1JKG2np6KZboeSOn05QUt+Gp40x714bfkU9s/6JtQOuzPrRF/Xf8EhODXf+dILq5g4CHc346uYoYR9wxzgv5oY78dHOTFadLGLr2XJ2plawJM6Dm2Ld+T2+kGO5tUS9tlN43lhPa56cFYCDuSHj3z03Bvf+jkxOF9Zz/2TfQSdt+tqbEeBgRkZFE3eO92Z2qCPj3tkj3O/6hjoMBUM9KRIkwj7lhfVnqW7q4D/T/JBIJILti1KJTrPrrY+M53B29QWlCN776ykem+7PDSPdhD1cfyPV9mYGzAp1xMbEgPyaFnalVdDU3s2KY4WsOHbx43FDwUhfhkwmob2rhx6Fkvo2VQFkU2Ipx/NrL9hTcSAutGvv1tEeLIp2JczFgsb2bvamV7LtbDn7Miu11sv08ibe3JJ+0RYBg8XcUM7vd8cJibazQx2Z9N6+QRfHUjU6pzT344GOZswNc2JOuJPIo9fX3gwfO1PmfSb2b4z1tOa722OE/ZO5oR53jPPi9jGe7M+q4ucj+ezTEHG7FUo2JakETV97U5aMcmfVvaN5fFUiR3JquOOnE7xzbTjf3zaSJ9YkCZ291y0/yne3xQh2LLqobGzn9h9PkFrWiJmhnEen+fPD4TyKatu4bvlRnpkdyJ3jvM67Ppjoy6gCWjouz/njojy7dGFvb8+ePXsu9dOKePDBB//RtmHNLifL3htpjKe1cEC2MNJjb2/alo2JvtBF9Wufasn8CCeKattUc7EaLfFf7M3m/esiAMisaBIMd6cFObAtpZz3t2ew8t44JBIJf2oYNr58VYjw/3eM8+K3+EJ2p1fw9OwA0ese6r3pTA92JNLdkp+P5JNY3CDygJgR4oiBXMrrm9P46UgeN8aq4oiP59UOumIZ7mpBcV2rlsdXX/KqW7QORcMMc7E0aVT/pRIJCo0V3NZUn5Ma40TqTckoL2view+q/g6mQjstoLMlubmjG1MDOVOD7LE01qO8sV3kD3E4q5oodysmBdixI7WCpT+qEtvkUgndClXr9Y2x7qLnvHmUOwezqlmjcaC5OtJZy9hxRogjT69NJruyma3JZZwsqEMulbBEY+4/0k0ldpXVtxHlbsWpgjp2plUwJdBea5yqv0S3y1UV+7fwT68fmp6I8yOc0O9HZOzLwawq3t8hTu9xtzampaObmpZOxrx9bp2d6G9HnLcNfyeWCmbZZgZybopzx9xQj6/25dDc0Y2+TMqyST7EeFhx6w/Hha9XjbuaoqfDSyivukXU1aIWdsb72XJ9jBszQhyEQ5Yu/B3MWHHnKHakVvDhjkwyKpr4aFcmPxzO4+7xXtwS56nq9OrdDE3wtxP5zwyWb26JpqKpY8iJf4PF2UI1EuDvYMb+jCo2JJayK7ViyOJwZ49iwM2xmaGcsT62bEsZ2igLqIzU1SOJvvamXD3CmasiXASjagdzQxZGumCsL6O2pfO83lWaFNW2XXTcerSHFWeK6kV7ivya1gEPLIGOZlwdqeoWVG+6Wzu7eW97Bj8ezu/3tdSjm3oyCTKphHcWhSOR0K94fPcgUxQTNcZ7ropw5khOjaiAORAD+YstXxLNrFBHunoUbE8pZ/XJYvZmVAq/K0M9KfPCnbl9jCeGejKmfbgfA7kUdxtj3ticqtWRpyeTcFWEC/dM8CbAUTsduL61ky/35fDT4XyhY+Gu8d48MtVPNKoMqm4ddchSUnEDb21NI7mkAWsTfX5cGjvgiNv/Gv/0+tGXEGdzvGxNyKtuIb28CVMDOd/eGqPVgeFgbsjb14azdKwXb21NY19GFT8dydcykTczkPPpTZFM8rdDIpGQXn7uQB7hakFSSQO70yvZnV7JKC9r7hznxdQgB62E+L4sHunGq5tS+WJPNouiXNny8HgWfHFYy/tuqGjuTwz1pLR3KfhkdxYFNS28fW246L2rq+Nm9icHL/i1a1s6eX79Wd7bnkF4r+ited5Rj1RfPcKF0T42ot9Re1cPN38Xf0m7pwZLblXLJUkj7ou+TIqpoRylUqkVwHah/HK0gF+OFuBqZcScMCdmhzry1ZIo2rp6+OZArmDxcyVobO/mqs8PMSXQgVtHexDjaTXgWv7VzVH8frzwvMLftCAHrhrhLJq2KKhp4ZsDuaK0dTUJhXX8erSA+yb6iDp0pVIJkwPsmRxgT151C78czWfViSLBXxxUib0vb0zlg52ZLIp2pVuh5HheLY+vTqS6uYMlce6C2JVa1shVnx/m5ztGCl7lmiQV17Ps11OU9k6Y/Hh7LGGuFiyKceW5dWfZmFjK65tVa8U7fa7NvqjTxdUWC5eaS/6sasPI/yWMNcQu096RlFiNqpepoVzwtrhngrcQE9p3YzPB346Gti62pZTToXHDXnOqmMem++NsaSSYZE8OtOelq4LZk1HJ8fxaDmRVM9Hfjpf+ThG+zkHjMOxjZ8rMEAe2p1Ro3Qzya1oFc0YzQz2WxLnz7cE8ftRY9Lp6FNwy2oOPdmaSWdHM/swqJgXYaxn83jvRu98bpr2ZAVEeVucVu9LLm5gT5jTgY4YZ5mLoO/euDmfQxNXKiHsmeAti1+1jzlUfOrp7hI9rcjyvhimBqsP97FBHrbSg+LxaHkJlcq85AimXqcSuhZEuWPc5GEwJdMDCSI+qpg6h2nPXeG8tsc3CSI9oDyuO59Vy32+qUea54U4iUSzMVbUgJZU0MDPEkVMFdexJq6CxTXsj0jepT037Fers+l9Fc4RusGbaDW1dPLYqUVRxdTQ35Jc7YnnqryRqNN6bi6JdSS9vFIzhTQ3k3DHOi0VRrryzLZ3Nyar7dYyHFe8uCse7t3K4fEmUMBL/ye4slffj9SPwtTelR6FkT3olvxzN17lR+/62GKYGDb6bQSKRMDPEkelBDmxOLuPjXZnkVLXw/o5MvtyXw/UxbkJR6UKELujfG+NSkVrWqFVhBYQuLaWSi0o2jfO2xs/ejIa2LqF4djFkVzbz/o5M3t+RiaeNMUb6cmRSOFty+X24+uNUQR3u1sZMC3IgqbheCNrRhaWxHj/cPlLnGMTRnJoBhS6AJ9Yk8cSaJIz1Zby1MIyjOTX9Cl19iXK3xNXKmFMFdQNesz0KJS/ND+bDnZnkVV+cGf+yFacwM5SjJ5OKPH0i3S25PsaNueFOQiX/s92qPV5Ht4KA57eJnsfB3IClY71YFO2qZSYPKg/Bn47ks3x/jiA8TPC346X5waKugr5YGutT19rFjd+qklatTfT57a5RoqmEYS4/EomEGcEOQlLi07MDRd3DfQlwNOOnpbH8ejSfFzakaH2+qaObcJdzo21qS4Y5YY58eXM0uVXNfL0/l7Wni4nPqyU+rxZ3a2NuHe3BdTFuWgFaam4a5c73h/IoqW8j6MVtwj3yUqIpfK0/U0p2VTOzQ8Vni2UTfbgx1o2J7+3r93luGOnGXeO98bU3paS+jb3plexNr+RwTrXO4l9DW5doXZwW5MA1kS5MDbLXOtAnFtVz47fHLlmK7kB8tDiCqqaOf6zTqUuhOK//mC5iPa355tZo9GRSdqVVsDGxlF1p4jWvuK6Nbw7knrfT9p9GoVRZgvS1BdGFep+uCz2ZBEM9GU3t3UJ38lhfG4KdzMmrbmVPeoWW79y8cCeUSticXMZ72zM4U1TPh9dH6LQd8bI14aX5Ifxnqj8r4gv48XC+qCjT1N7Nj4fz0dSs39qaLkyR2ZkZYGOiT3p5Ezd+c4yf7ogV1mKlUsnKE0W8+HcKnd0KvG1N+HHpSEGsMzfU49MbRhDtbslrm9PYcKaUkro2vrstRueIYnlDO3WtXUgl4KbDp/xScHkktP8xjPXP/ZrUle8gp3OVsqTiempbOpFK4IZYd0Hs0kQuVY2SSJBgZiCnsqmDICdzwRDumwO5vDQ/mC29Y0vzI5xxsjDi1jgPvjuUxwc7MgjW6IZaMMJZ6zUemerP9pQKnSmJkW6WwgVx9wRvUSIPqMwjH57ixw2xqgXqk91ZTPS343AfsWuSv32/YldhbStR7lbnTShKuAKVjWGG6cs1kS4iL5iRnucOVbtSK4VKgyYn8uuE+PU4bxtB7Fo61pMfD+dzsqCWzm4FkwPFY2HtXQpkUomW/x6ofPTmhJ0TzmYEO+DvYKYVjZxf3cLkAHvRyNTSPmkn4b1eeqmljbzS2/l5PK9WZ/JQfxvPYbHr0rJbYxO35lQx90/yHfBwAvDhDrHZqbG+jCdmBnDXLye1jH/ViZzG+jKWjvXk7vHeZJQ3cf3XRylvVJlXPzrdn2UTfUSVZs0RQnNDOYnFDUz7cD9yqQRzIz1hEyuRqMYcl8S58/ORAvZnVgmboqF6u0mlEuZHODMnzIm/E0tYvi+XjIqmfiPr/0nG+dry1KxAQl3MUSrh491ZfLr7/FXkixG4NDmWW8sxjZhxIz0Zi0eqRI5odyskElVFd8WxwiF7kA2UPGZnZoCdqQGN7V1aQTsXSoyHyrhZ13hnYW2rzqTbvtS3drHwyyPMCnHkmTmBeNiYsDejUuiW1eSv+8YQ7WFFZVM7r/ydKhr/bu3s4ZE/zwzp+08orBfGBAdic3LZkIIP+nLTKHeK69oEgVdzT3bvBG+ui3HF1/7cXrOzW8GO1HI+6DWF78uvd8Yy1sdWpzFwQ1sXPx/J54fDeYIRfpCTOU/ODGBSgN15x0w0xTwXSyN+WjpSCD8Z5p9Fc40uP884bXtXD1/szR6wqyf69V38cHsMkwPshfVK7cHmbWfKO4vC+c90P34+UsAfxwsprG3l9c1pvL8jg7lhztwY66Y632i8h9ThF2r+iRD2syWNWmJ+dmVzv0KXhZEeB56YLHhIguq9vSTOgyVxHrR19vDxrkxBWOyPXWkVzAxxQN573bV0dPPKxhRWnSwe8OvgXKfeyfw6kf/lhTCYYI5Lyfn+po7mhjp/puP5tYx4VTVCe/UIZ95dFIFMIuHvpFJe2nBWS+S50njZmmCkJxONIQ4GaxN9JvnbMTnQnre2pIlG37++JZoxPrbsTqvkt/gCjuTUcDi7RhSi4G5tzEhPa/5KKMZEX8YL84KxNzNgwklbXlifws7UChZ8cZhvbonRObILYGGsxwOTfblznBfrTpfwzYFc0b287+9avWbPCHbgqdmBLP3xBKcK6rjlu3h+vzsOTxsTnlmXxJZkVef5tCB7Plw8QrSfBJUof/tYLwIczbnn15MqP/HlR/nt7v/H3lmHt3Web/gWg9mWmdlJHDuJw4yFNEnTNm3KTCuvW/dbuV23dYUV166MKbcpU5jZ4cTMzCyD6PfHkY51LJkCbbf5vq5cSWxJlm3pfN/3vs/7PFMI8pJOrThG6MeE+QzJI+xEGCl2DQHnzoXK7lbvHB39mf2CFumvF9UXfaWqqeE+YtFs2bgwPthdivPW4p0dxcxLCaK4wYhGKRc9En43N56P9pRyuLyFG9/vldnfMCvO5XmODvPmrDEhbscfJsX2KtGCvLTcOCtOjPQGYUHYkF3LTXPi+GB3CQdKm/kss9wlqS0lxIsgL41LYgvA9oIG0etrIPYOwTB5hBFON5dOiRLNfAEOlDWLm/d3drg/jB0ubxb/7az8OmN0CF8dqKDJaOJIRbNEuelg+bjwfk3hnQ80t89PxGyx8sFu6Rj07qIG5qcEiQqecZG+jOsTDRztrxfTXuUymZj8MxzVwW9sn/EfjcVqEz0PHX49D3x1lHeumdTv4bKyuZMP90gbBmPCvLnvyyNiYcVHp5IUY5ODvfjoxqn4e6j5ZG8p9395FLPVRpzBg2dXjnMbIa21K6nCfXU8umwM19vHuMxWm1joumlOHJdPiRaLc6nhPix9cRv5te3c+fFBXr9y4qDjLO5QyGWcNz6C5ePC2Z7fwOtbhZCGoWDwVEuMUE8FMplQSNhd1EBdexcHS4U01VONh1rBzEQD3WarxFPDHZ0mC+/sKKbZ2EOP2UpGtB8Z0f5kRPvzjwvGsimnjs/2lQ+pwzwQdW3dbke2T4bSRiNnpYZw/cxYqlu7eMiNoqQv95yZjF6t4NN95ZJUqJ+OVfc70vn0hekSY/QgLy2PLU/l7LEhvLSxQPI4J8vzF4/jzo8P4qdXsXJSFK9sLhj8ToPQX2NQIZcR4Kkm1iCoLHcXNvDNoUp+PFrttgnzxAVjWTnJ/d6rvMnIeztL+Gh3qTjqH2vw4M4FiSxLDxs0MavHbOXRb3t/f1H+ej6/eZrLmP0Ivww9ZqvEN++VzQXMTgoUFRnO7Ctu5O5PD4njyvOSA3l0WSpRAXr2Fjfyp88Pi3uDa9+RjvFOiZUmrof66Pjz2SncuSCRrw5W8M52wRfyi/3lfLG/nMQgTy6aGIm3Tsln+8oHVG0Ohq9exZ/OTGHt8Wq25zeccGAIuAbzOBMToMdoMuOD9KBe0tDBF5nlfLG/QlKw89Qo+w3LcChJh4KfXsXy8eEkBHlytKKVj/b8sh5epwuVQsaU2ADmJgsFnjiDh7jPMVmsvLWtyEUM8tXBylPqAzkcLp8axaQYf7fKMmdORLXrqVGy9/6FKOQydhTUu3g8bsmtJ87gyeGKZnL6mYYqbTSK792b58SL01wrJ0WREuLNzasyKazr4IJ/7+CtqycN6KmnVSnEZMa1x6t5aWOBS7CeMzsLG/BUK3n/uslc984+dhY2cO5L28XPK+Uy/nBGMjfNjhtwDZkWH8DnN0/nqrf2kFfbzmWv7+ajG6eKqmOr1caqXcJZZ1m6q4jnVDFS7BoCvk5Vf5XS9ZfqKPzE2eXcsxINLsWuKXG9C9HKSZF8sLuU/Lp2EoI8xU79VXYPlTlJgXjaq5sBnhqumxnLCxvyJR47o/vxvLpzYaK4Mbx6eozYMW/o4ymxfHy4pNgFwqL5+e+mc+W0GF7bUugy7x7irR3Qm+FQWTNalYKUEK8BRxlPVSd8hBEcDJTW5aBv5HN1S5eki7KnqJGLJkZysKzZxd/KweHyFqxWG/l17RLj+fVZNUyO9efnYzXsLGgQux4O5DK4dZ6rqsuBs4KyqqWTksYOyps68fdQc+64MEE1VtwkMRKfmWBweRy5XMaYMG92FTaSXd3GtLgAUXnQt0DSH4pf0Wj4v426tm56LIKq762rJ7H0X9vYnFvH29uLuXZmrNv7rNpV4mLK3ff12Pf3WFjfzta8Oo6Ut4ieXeekhfLUijSJMtmZKHsBq6K5Uyx09eVwWQvG8b0qgiAvLa9dMZGLXt3Jhuxa/vT5YZ5akTbkiOm+tHaZKaxvp2wI3lHpkb4cKms+5YUuEDrUe4ob3SZXalVyVHK5xBNwuMQZPBgd5k2XycLWvHrJSEuAh5qoAD1Wq03iB+Wg72HgmhkxLEsPY0FKkDiqfMdHB4Y8Ins6WJIWisFTQ2NHDxtzaqlt6xa9V4aKw/sw0l/H61dOpLzJyKPfHu/39tv/PJ9wXx0tRhP7ShrZU9TI9oL6kxrTjDV4MC85yK3yzGEx0WQ0MS7ShxtmxZ7S5Mpd9y7AarMJCd05dUMyXp6bHMgTF6RJLC1AGDPZW9zEOzuK+Olotdi9Tw724tb5CZwzNnRIRers6lb+8Okh0aYDYO3dswf06Bvh9LKvuJGWThMGTzXT4w18c6iSWz7I5MtbZohNCbPFyr825vPC+jysNiGN7+GlYzhzTLBYfJgU48/GP87lp6PV3LzKdQT8yZ+yuXRKtIvfm04tHJovnhTJ/tImPtpTxneHK8mrbXcJrlo+LowIP73bAInLpkRx+dRoRoV6U9ncKfGgbDaayK1p458XjUOtlLM5p441x6vZkFV7UtdhZ1QKGYfKWzj7+a08cUEaMxIM/HC4is8zyyXrgJdWyZK0MFZkRDAhylf8+RXXd/Dn1YclatzBmJVoICPaj9ZO85DUrf8JhPlomZsi+ERNjw/oV5mjUsi5cXYci0YHszWvXmLJ0x/Xz4xle0HDKW1aOLNqVyk1rd2snBTFkyvSeejro24no06E9m4zr28tZHFqKH/81FVx19c/L8hLw8pJkaycFEl2laB2d7YRenVLIQ0dPVw+NZqEIE/SI3359vaZ3PjePvaXNnPZG7t4+bIJ4uRJfyjkMs5KDeXMMSGsz6rl2XW5kuu7g8K6Dub/cxO/X5TE/eeMklg4hHhree3KDHGSZDCSQ7z45KaprHx1F3m17Vz3zl4+vnEaOrWCbw9XcryqFU+NkgtOY6LvSLFrCDgXeOQDHARjDYKMcH5KkItvlrPH19hwH3GEsW8sPQiHFGdumhMvKUxNifXv93Dh5zQP6xhvAUGFYrHaxA2OOz+ifSVN7Ctu5KbZcazaVSJuyB3x6MkhXtS2dblVdTn4IrOchaOCB/Xtau0yucgeRxjhRHFWXPXHvOQg0XgR4Bn7KIjDeNeRqPr61l7Jet9Ux7YuM8UNHTz23XGJyfJPx6q5dkYsPx+r4ek1wuMq5DLxNqNCvUWvpL4cLGsWZbwA3xyqpMw+TnT51GjGRfrw9vZiMkuaXJ6bOxKDvNhV2Eh+bTvpkT5isSs6QM/h8hbOGx/OD0eq+i06K0+wcDGCK47kWY1STnKIF38+K4W/fHecv/2QRWygh9sUREfwyUBMjPbjoaWjSQnx5g+fHeLbQ5WSUa27FiZy54JEt+qxLpOF1fsreGObdDRj+bgwrpkRS3KIF69sLuDfmwrYWdjA2c9vYfm4cO5cmEh0gAfpkUJi3K0f7ueL/eWolTL+unzskBVeNpuNA2XNfLS7lG8PVw45EOFQn1TgE2VeciD7SpqGbJTcZbLSxck1aArrOyh06g6rlXIumxLF2amhZET7uRgZ7y9p4vP95WJasjNvby8e1K/qdJIS4kWYrw6FXEZmSRONHT3DOiBcMjmSmQmBdHSb+WhvqUtQRllj55DM4mc4HY5PFUX1HUyIMvHW1RO546ODkibKRiclnsPr7lQy9fH1PH/xOEJ9hqaY+vdlEzgrNUTyHm829vDF/go+2lMqGXeemWDg2pkxzE0KGlJhurPHwvPr83hja6HE//KuhYkjha5fGUfK+/R4A09ckEZ+bTvHq1q57I3dfHrTNMxWK3d9fFBUVp0/IZxHl43pd+T8rNQQ9t6/kEte3yV5zby7s4R3d5aQEe3HJZOjOCs1RGzCgzCmlBHtj06lpKi+w63xen+KncumRPHosjHihEyIt5Yof70kMOOdHcV8tq+MK6bFcP0sIV3Sob79dF85356E8jYxyJO0CF++2F9Os9HETX38HuUymJkYyIqMCM4YHeziw9XRbWZzbt2wCl0gJBQOZlaulMuYmxzI0vQwFowKFn/mrV0mfjpSzQNfHT0ppdup5PwJ4Vw3M5ZRId79XlfKm4zsKGhgZ0EDOwrqqWmVnh81Snm/e1FH4+5kSA335szRIfh6qDle6aqiW3u8RvTKvXp6DH88I0ncww/GJzcKyYxb8+r56kCFiwL5Hz9m8w83tkbOTI715/qZscxPCRLfD6E+Oj7L7G2my2VC8cxRIJuVaOCaGcL1/IPrp3LLB5lszKnjhvcy+fdlEzhjTMigz10mk7FwdDALRgWx9rjg9d13TLO4wejWAmBshA9jw10N6wciOsCDD2+YwgX/3sGh8hb++PkhHl4ymkfsRc+bZse5+BmfSkaKXUMgzGnz4bzw95W0xgUKyq5UN6kFzuNGMpmMiydF8vA3x2g2mlzmmuf38fvx0CglaqnxbgxbHTgrRJyfW0mDka8PVnD+BKFyur4fyeYrmwt546qJXDU9RvQM8tOr6GyxEBfoIVaA4wM9qGzuckmienpNDp/eNM1tJ8eZA6XNkjTIEUY4GTYMIEF24KmRbli25tWjlMt45fIMVr4mdBwcSYcOVk6KpKCuQ+I988zaXLbm1aNWyPnm9hksf2k75U2dYniFg7NSQ/jefgh0l4YFwsH/SftYokPl6Tg4qpVyrpwWLRafCus7KHRSErgrWIPw3gQoqGunx9zrDWW2q4VmJgjK0/6S2E5UpTOCKx7211ynyUKXycI1M2I4WtnC6v0V3Px+Jm9dPYkZTgq9+vbuASXz4b467l2cwjljQ8VD7hMXjJVs/OUyIeCgb6Gr2djDOzuKeW9niYup7PyUIJ67eLz4/7sWJrEiI4K//5DFD0eqWX2ggq8PVXJhRgS3zU/grNQQnrkonbs+OchHe8po7TLzzEXpAx6EWzpNfH2wgg93l0qaIXEGD7EQ9LfzUsmraeedHcWoFfLTsqnfOMj44C9Bj9nKzgJBVdrY0cPkWH9xo6dVKZieYGB6goFnLhpHW5eJ3YVCWtJQlJmni+Xjwvjd3ATxWmaz2Tha0cpj3x93683lICPaj2h/PRtyamk2mvhoTxkf7SnDT6/ijNEhXDsjFmOPmf/74shp/x60Kjkz4g3MHxXE2HAfdhQ0uBxGHGNZp4uYAD13LUxiXKQvj/+YJQlPGaq32IEHF4lNWJPFypbcOlbvr2BtVo1YYNepFCxLD+OamTGkhAwt/dpms/HNoUqe/CnHRSmoVcm5uJ9RyRF+OcqbhHU71uCBTq3g7WsmcdGrOylpMDL18fXi7bw0Sv56Xirnjgsf9DEDvTT8dOcsFj27xWX9ySxpIrOkifu/PMKCUUEsTQtjXkoQdW3dPLM2l68OVmCzCUWa5ePDsVhtg3oKfrC7lKMVLTx+fhqjw7zZW9xIaaNRHP3KLGni8R+zOFbZyiubC3hnRxGXTo5m8dgQDpe3nFShCyCvtp28Pt6XDqbFBfDsynGE+LiqJfcUNfKPn7L7TbI+Wf58dgqXTI6SWOe0dZnYkF3LD0eq2JRT95spdAGs3l/B6v0VGDw1zEo0MDvJQHygJ4V1HUJxq7DeJcFXrZAzIdqXaXEGpicEkBrmw97iRt7YVnTC4TQDUd3STU1bFxkxflw6OYrHzh3D7qJGvj9S5TJGPlzv0JWv7eLNqyZy5phgxoR5DzlB2WFpAYI617k4ZbXaePDro/x8rAa1Qs77101mYow/W/PqWLWrlPXZNWLRNDpAz5XTYvjnReN49NtjfH2wkts+PMDb10j3lQMhk8k4Y0wIFqttQEN9Z9Yer+GHI9UuwpzBiAv05LUrJ3Lp67v4/nCVeD4aE+bNTXP6n3w5FYwUu4aAsyKj22QRK+19j4QOCbG7w2LfiuV5E8J58qdsiuo7mJVokBS7ShuNLjGfzpHwm3Pr+PPZKW6f667CBpePOeJ5n1uXx5K0MKw2G9vyhYvK/YtHSaTH67JqyKtp4xqnYpdj1jjcV8dxe7FrTJgPC0YFuyRlmCy2IY0pZhY3jhS7Rjhl/Hx88EVmp5v3xoUTI8WDZmNHD/euPiwqudQKObfNT+S9ncWSw5yjGHXdrFhSQryZnRjImuM1Lkax5U7FpJJ+DKJ/PlbDjoIG1Eo5b101ifP/vUNMTLlgQrg4154Y5CluzjzUCjp6LBwoa6bLZHHpOjr8vwpq2ylp6N24Oro20+ID+IOTV5m3Vkmrk8pFrey91oxwcvh7qPHVq2g2mjhe1cqEKD+euCCN1k4z67JquObtvTyzMp0laYJXQXE/hS6ZDK6dEcsfzkiSjCWaLVbu+Oig5LZWGyx9cRsvXjKe1HAf6tu7eXNbEe/vLBEbIOG+Oq6dGUu4r46bV2Wyu7CBFqNJYtQb4afn5csyOFLewjNrc9iYU8fHe8v4Yn85F0+K4pZ58bxw8Xju/vQg3x+uoqG9m5cvy3BZ63KqBUn+VwcqxOaIRilnSVoYl06JpKyxk7s+OYjBU8MFEyJo7TTxzo7i39Sm/nSQXd1GdnWbqNJKCvZkcqw/k2MDmBLrj49OxY6CetYer2FdlvvAjF8S53HKUB8t7V3mIY0UZZY0kVfTxvyUIPw81LR2mtmYU0tjRw+f7CvjEzfR6qeay6dGsSAlmGnxAZLrZVqELzfPied4ZSu3f7SfgrqTS1Tsy6LRwSwcFURDRw9P/iSMaRY3GLnrk4OD3re/9Lqtf5qHj07FvuJGvjtcxbeHKmlwKl6PDvXm0ilRnDsubMgBEjabjW359fxzTa7EY/DmOXH8c20uzUYTN86KcykAjPDL42haaVTCOh3srWXVdVOY9eRGye1+uHPWoEEozigVcv5y7hiueHOP2893m638cKTaxaIBBHVKoKeGtcdrhnydOlTewuIXtjIr0UCKvYA+PyUInd3X8LuEmazPquXvP2ZRWNfBW9uL+h39+/6OmewqbOSx7/ofex4qOwsbmPr4eh44ZxRnjA5Bq5bz2b5yccx6IJKDvfDVq/ptRA7GP37M5tO9ZSQEeVLX3k1Vcxc1bV2/iLn/ieDYN9e3d/PlgYp+i5wTonyZHm9gWnwAGdF+2GzwxtZCLnxl52l/jvXt3azaVcqqXaXoVApCfbWEnEK/weveHVyF3JeK5k5mJRrYmlfPq5sLuXxqNN5aFVarMMb+8d4yZDJ47uJxTIkTvPPmJgcxNzmI0gYj7+8q5pO9ZZQ0GHnsu+P8c00O544LFxvmN7y3j89vns7osKE1ORrau3nw66OAtBA3ELd+uJ85yWdK1J5DYVKMP3cuSJSo5168ZPxpP3eMFLuGQKSfTvx3aaORAPsBVKmQFrUMnv1L8A6UNUsitL21Ki6cGMk7O4rp7BNJ+48fs3nv2sliZ766pUtiJJdV1UpmSZNbM7pdRcKB/okLxoqd0jNGh7CjoIHSRiOf7isj3FdHl8lKmI+W62fFsquwgfVOY1T/3lTA1TNiXB47zFfHd4eFze6YMG+Jl5kz7+8a3KejP0+kEUYYLp09FpfukTv6hi0A3DY/AZlM8LnamlcveV1eMjmScF8dSUGuqqxALw23zksAYFaSUOx6yUnN6Ei3c7C/tImG9m7x2gHCuNLffhA2ZzfOiiMqQE+4n04sdl3n5OkU5K0Ri13/vjyDuz89RH17N4fKmsXF0IEjlaXQTeEkOkBPmK9O8jFHoUspl2G22vB2M1o9wokhk8mYEW/g+yNV/HS0mglRfqgUcl66bDx3fnSQn45Vc9uHB8itbuPOhUmSaGgHCUGePLkiTbJ+OHj8x2zWZdWgVsp5/9rJyOUy7vjoAEX1HaLHgvOheVSoN7fOi+esMSEoFXJsNpuoGn5zexF3L0py+RpjI3x4+5rJZJY08czaHLbnN/D+LiGVa1l6GH86M4Xn1uWyq7CRZf/axmtXTCQp2JN1WTW8s6NYMuqRFOzJpZOjOG98hFhYe2ub0E1cPDaElzfm8/ZvIJnx1yC3pp3cmnZW7frtmxVX9SnsLx4bwp/PGkVUgHC4tlgFFcQPR6r48Wg19e3dYqHMS6t08U88nVw6JYolaWFMjum1f7DZbJQ2GtlbLFg37C1uPOWFLhB8gVJCvE/IrLu/A27fogYIe89l6eGcPyGcMWHegyYr9n4NG5ty6nh+fZ5Y5NKrFdwyN54VGZFc+dZumo0mxob7cNv8xGF/DyOcehzNhFr7OJjFapPsPRz8bLdWGI5SO9Fpr3PH/ATe2l4sNki8NMp+i9vulJ1BXhreunoSqeE+PPLNMVE1kxruLfHVcx7tyyxporatiwAPDdvz6/nmUCUVQ0iIffjrY3xy0zRWTook9eGfh/z9DsRfv8/ir99nDXo7b60Sg6eGwvoOcmoGtm/pyyWTIxkf5cehsmbWHq+htq3bZeT9t8xQr+ENHT18e7hy0Imfk0GlkPHkijQCPbX8cLSKbw5Wunj5dposFNZ1UHgarvXDxfGab+k08f7OEq6bGcufPj/MN4cqkcuE8JXFY12VU1EBeu4/ZzS/X5TElweEoIi82nbJeKaxx8JNq/bx7W0z8dUPPBposlj53ar9ohfqcLw/Ux/+mS33zBPX/aHQYjRJvJLDfXX9WrycSkZONUPAOXkxt6ZNHCN0VlsBFNf3KrKSgj0lh+t3the7HFaunh7DuzuLXTZCW/PqWZdVy6LRgtHcGjeqlXtXH+a722dJqqEVzZ2UNXaikMskEsZNObXcPj+Rv/2QxQvr8zjTLpmcY4+bfmTZGHYUNIhd9y8PVriMZIFQ7HIsUqnhPhwodb+B+34I/h0HypowWawuP8MRRhgu+0qG3kWbmxwopqDNTQ4k3F74GRPmI/FS0CjlYjHLXaTvA+eMEjsaDqN4Z0Wjo4B0x/wE1hyvIbu6jZ2FDaKCB4TOVlljJyHeWm6xm9cfdSpqOyc0Oi8OQvKSHz8cqeaAm2JXsLdGVHO6fP9JgRh7XDes4b46qlqERW7ES+/UsmxcGN8fqeKjPaXcNj8Bb60KjVLBS5dN4K/fH+ft7cW8sCGf3UWNLh3h2+cncNv8BLfjgT8dreZNu6fF8yt7O4DvXjuZM57dIt7OcWh+48qJLBgVJDkIy2Qybp+fyK0f7ufVzQVcMKH/xNCMaD8+uH4qOwsaeG5dLruLGll9oAIOVBDsraGjx0J5UyeLX9gquZ9CLuPMMcFcNS2GybH+kq9vs9lETzlnM3Pn0cbfAjqVArPV6hIc8FvjvPHhKOUyNuXWnfKExYFwKD7GR/kyUUyN9OOx5ak8smwM+4obeeTb42RVtdLWZR6yXxoIHqd6teKE1RIf7i6VjKuE++rosVgH/fmolXLSwn1OqFA1PsqXA6XN/SphzhgdjEohZ312zZA969xx3vhwlqWHMSvRINmnDobNZmPt8Rpe3JAvNlI1SjmXTYnm5rlxYIOr395Lbk07QV4aXr5swoji9zdCSqiwL9hd1IjJIvhzfX+kCrkM7j17FEcrW/j6YCV//T6LLXn1PLXCNcCgP4K9NUT46Shv6iQ13IdN98zluXW5rNpVOmxj+PevmyKOPDtU7385dwxXTouhuqWLjTm13P/lEYknakVzJ5P/tt7lsRKDPFEp5C6eQg72lTTx4oY8ZiX+8tMirV1miTLeHeOjfEkL9+HTfeUS6xfHSPd/O/1NNgwHnUrBjIQA5iYHEeCh5pm1uZJRVJPFxu8/cTWC/y0wOymQFy4eh1Ih57XNBS7hcE/9nCMqB5VyGc9dPE5yVnCHXq3ksinRXDo5ip0FDby9o5h1WTXifq+ssZNxf1lL/t/O7ndt6Og2M6ZPcdhTo+TG2XFMjw9ghV15d8boYNbYfc1UCplkHzTn6Y3cNDueOxckolMP7OeYV9PGje9nSkalq1o6KWs0DkuFeiKMFLuGycGyFlZOEv7dt1CzJbdOnGHtO8r3w5Eq7j9nlGTRiTF4sCAl2G007qPfHmNWogGtSiGa54FQIPv2UCW5Ne28vCmfuxb2duJ328e0xob7SIwmW7vM9FisojzRobxyRAtH+uu5e1GSOM5os/UePJz9xIw9ZtHnx6GEOVG6TFaOVbZKvMxGGOFEcHjfDIZCLmNyrL9Y7HKOrI/0l6qdrpoeI0arx7spdk11KjDF9NPVCPTScNOceNq6zUKxq6C32FXd0sVLG4Ux4XsXp6BXK8mqapWY3hfWtRMX6MmxSteEtrHhvvxwpJojbtLbZDKZ5AD1wDmjxA7lwtHBfHfItRgd4dcrXR7q6MsIQ2PRqGBRXv7Pn3N49NxUQHg9Prx0DGkRPty7+ojbw/wfzkh2+5gtRhMPfCXIzm+aHcfZY0Np6TTx6uaCfs3Lfz5WTVqkD0Fe0oPP4rEhzEgIYHt+A/d8dpgPb5gy4MF5WnwA0+Kncbi8mde3FvHDkSoX01kHl06J4rZ5CS5qQoCa1i4e/lqayBTmo8VXr+73UOOO62fG4uehZl1WzWnzUunrTalWyJkS50+cwQODp4bKli4OljWfttSowYgJ0OOjU7E5t+4XU0y540BpMwdKm084pTAj2o+UEC+25tWLe42B4tFPBOfOtadGyWVTo5gU7U+Ev47frdovbsR7zNYTKnQBA74O71iQSLfJwtrjJ1foUivkrJwUKVmLBqOl08QXmeWs2l0iqht0KgVXTovm+llxBHppOFTWzC0f7KeiuRODp5r3r5ty2g8iIwyduUlBKOUysqpaOfO5LRTWdaBWyHn+4nGcPTYUm83GxGg/odiVW8fCZzZz79mjuHhS5KAqL5lMxhmjQ3hrexGfZ5YzI8HQb5rvYJz53BZSQryYnxLEgTLhfeT46iE+Wi6ZHMUlk6Ooaulk2uMDh004FzVmJARw3+JRvLejhC8PVogedc+ty3MJBvs1SQ33ZmlaGOekhRLhJ7x/Hj03leqWLla8soPyISjWTgVqhZy0CB8mxfozKtSbbpOF/aXNLkbtv0ViDR7MTQ5kXnIQk2P90aoUNHX0kF3dxsWTozhW2cI3ByslXtqnkhcuGU9TRw9P/5xzwimgC1KCeP3KieJ77+4zkrn7jGQOlTVz7kvbXW5vttpoMppo6zINaS8uk8lEj8+yRiNvby+WjPsm3P8jjy4bw0UTI8ViVF1bN+/uKHZR2t2xIJGrp8fg76Gmrat3HPn5i8ezNa+OR745JtoaObDZ4JXNBXx3uJLHzk1lXopr6JLNZuP9XSX87fssus1CLeK1KzN4/IdstuXX8+m+sn73uqeKkWLXMHH2xHLMzDv4+Xg1j5lTUSvlNPXZcJqtNt7fWcIfz5T+Qq+bGeu22FXe1Mkrmwu4eU68RCI8O0mIrr39owO8tDGfs1NDxe6J47lNjQvgUJl0g/jK5gJ+Nzde9I0AmBTbmxB5zYwYvjlU6bKxvHF2HH+xz8Hf89lhQPDr8NWr6epzABgu+4obR4pdI5w07ry43LF8XDjvO6lHnE1AnYMd1Ao5N82OE//vbia9oK5dLFz3t2n5w6IkPDRKpscbeHt7saQo97cfsug0WciI9mNZulAAe77PRm1zbh2xBg8XA+WWTpOYhDKUg2C4U6EhI9qPS9fsdrmNw4tFrZCjVY108E8lcrmMh5eO5oo39/DuzhJmJgaKql0QXpdP/5w7LPn4a1sLqG/vJj7Qg1vmJYjpiQ6/lPFRvtxzZjKp4T489VMOq3aX8FlmOd8fqeK6mbHcMDtOVPDJZDL+tnwsS17cxp7iRp76OYd7F48a9DmkhvmwfFwY+0ua+n3uH+4uZXaiQVLsauro4aWN+by3q0Q8qDiobOly2UwNRKCXhnd2FIubXZlMUKjIZTLMFttp8/26aFIEZ40JZWKMn8QDqstkIae6jWOVrRytbGFPUaOk8XS6KB5C51yrkjMvOYizUkOI8NPz5YHyExqZVMhlTI8PwEurdKtaGioZ0X78bk48n2eWi8a+DjPsX4r2bjOvbi7kVQoHve1lU6L4YPfwfl4Z0X4u388L63uv8wMlkfXHFVOjOW63srj2nb18eMPUQfdRRytaWLWrhK8OVogFNk+NkiunRXPdzFgCPDWYLVZe2VzAP9fkYLLYiDV48O41k4c1ojLC6cfPQ83S9DC+PFBBYV0HCrmMf18+gQWjhDVFJpNxxbQYpsUHcPenhzhc3sJ9Xx7hs8wy7ls8iklOyfDuuHRKJG9tL2LN8RoX1cdgpEf6cuaYYDZm15JZ0iT6Ejp48Otj9FhsTIrxo7qli9X7K1if7Xr+GYjt+Q1c8/ZexkX6ctW0aA6UNvdblL5lbjwv272HX7k8gyfsPsm/BEV1Hfx0rJrihg5UCjklDUZKG42/2Nd34Oehwt9DjUohRymXMSrSl2Xjwrh2Rgyf7y/n1c2DX/t+DZamhzEu0he1Us6mnDpe21JITk3bL6pYvuOjAyf9GOuza/ndB5n8+exRxBp6VfNpET48tGS0eL525sGvjvLgV0dZkRHBpVOiGB/pO6TR9Eh/PQ8tHc0dCxKY/Pf14v7q4W+O8dy6XBKDvVAr5OwsbJA01tMjfPj4xmkSZZZjXZLJhDX/jDEhzEgw8OzaXN7aXiRRZIb5aClv6uSad/ayeGwIDy8dI56PcmvaeODLo+wpFuoYs5MCeeaidMGjNSOcbfmCL+lIses3hvOFqu+4T7PRxIbsGs4YHeJW1vrezmJunBMnud/UuN6FRy4TpPOOzci/NxUQ4q2VbIZSw30I9NTw9cFK1mXV8KcvDrP6d9NRyGViN3FSjB+f2k1f7188SixiHauQdp2dD8FKhZx/XDCWZf/aLnkTOJsNOw40MfYxF+di10Dz/P2xr7iJ62cN6y4jjCChvdvMYTfqJnf46lUSr5lu+/ustrVLkoh1VmqIxFvL2eTdQWFdB9PjDVisNonZuzOOsbLJsf7IZYKHVk1rF0fsaUJyGTyydAwymYxjlS38dKwamQzOGxfO6gMV7C5sJNRHJyY/Og7uOdVtpIYLxpOljUYXY3Hna9TisSGSgti6rFrRm0Xys7EX/oJ9NEP2exlh6MxKDOSqadG8u7OEuz4+wKrrpzA+yg+bzcZfvjveb7Ho3H9t47UrJ0oUwV0mC+/tEIq2ySFenPHsZlFZlRjkyT1nJrNodLD4e3xseSrLx4fxl++yOFTWzIsb8lm1q4Rb5yVw+dRotCoFMQYPnlyRxi0f7OfVLYVE+uu5fGq02+fUbbbw9YFKXttaKBZyVAoZMxMMaJQKjle1SpI+b14leHL9cMcsNuXW8u9NBUMaY0uP9OXs1JABo7udN75qhRwbtpNSywxEpL9O9AZ0GN5qlHLGRfoyMcaPidH+TIj2Iz3Sl/RIXyqbO9kYVsu64zW/iQTIOIMnx6ta2ZpX7+JlMhwsVttJqbodZJY0cf17wzf3/SVZNDqYUaHeZFe1DrvQBQxauBtuoQsET9QwHy1qpRxjj4Vr3t7DZzdPdxm3bzGa+OlYFR/tKZNc81NCvLhsajTnjQ8XGzn7S5t44MujoqJy8dgQHj8/TdIQGuG3g7OPcHqEj1jociYhyIsvb5nBuzuKeXpNDgdKm7nwlZ0sHBXM/52VTGKw+4ToEB9XFa4DuQzOGx/BzXPiyK9t5+FvjlHrdA0+XN6MRiHnrNRQHl46hvzadtZn10rSE92ZyDvvb2IC9Dx+fhqbcmt5e5v7oJLatm5xrGogvj7Y+3X1agVf3TqDv31/nE/3nZ60Vcf7xdhjFkKE7ErX04VSLmN0mDfpEb746FSolXLa7ZME2VWt1LZ1U9Mq/KyG8vP6LfHtocqTTt38rfDzsRrWZ9Vy1fQY7pifSKfJwp++OCxJn/zDIsGz9V2nhvznmeV8nllOYpAnl0yO4vwJ4YN6cAH46tUcfeRM5j29SdxbNhlNbr31/ro81e1e76D9dRvhpxNH2D00Sh5YMpqzx4Zwwb97wwWWpodhsth4d2cxPxypZktuPXctTKS8qZNVu0owW23oVAr+dFYyV02LEVVuDrul3Jo2t2Fbp5KRYtcQSQ72Es0HLVYbCrkMbzcbgU/2ljEtzn3kZ2uXmfd2FEuMPp03nVYbLE4NFXxQEDZCf17dG8cd7K0RR1D+ujyV3YUNHCpr5u3tRVwyOYr8OuHgMTbCh7/bRxKTQ7x4PH4sy/61TfRGcXCkvIWxEb2pj2PCfLhhVhyvbC4QP+YuCjbcvtA6j3Y8uHQ0D399zGXcYyB2FjaM+HaNcFLsKZJ2KAbisz6pX0b7a/XFDfmSxzgrtTcG2Gaz8ecvjtAXxwjIm9sK3S4gwm3aiTV44KNTkRruw+HyFtYcqxalwzfMihPff0/YFZdL08K4bGoUqw9UsCWvTixU3Tg7juNVrWzIriWnpo3Jsf7i4ftoZYvEo89ZOeCjU0ne93/5Vjo25iDYruwK9e5/ozvCyfHAktHk1bazo6CBK9/cw+tXTeTrgxUSz44jj5zB9vx6sUB0qLyFKX9fz3UzY7lpdhxB3lq25dWLjQWHsibcV8fvFyVx3vhwFG5GVTKi/fnqlun8fKyGp37OpqCug79+n8Vb24q4cXYcF02KZPHYUO5ckMjz6/N48Ouj6NUKzp/QO+rb0mnig90lvLO9WDzgeGmUXDolimtmxIrqQKvVxo6CBt7ZUcS6rN7gk75eXgPx8mUT+GB3yYCFrr6c7vRGdyEY3Wark9dageudfkMMNBp61bRo5iQH4qNT0222UFxvZHdRg+Sw+L/I2uM1EhuJ08n0+ABum5dARowfN72fyaacOh44ZxRqpZx3dxRLDPSd1Y9NRhM3vrePr2+bgVIuZ11WDd8cqmRTTq3oraJSyFg8NpTLp0YzMdpPLITn17bzzzU5/HhUuI746FTcf84oLsyIGGl6/EYpaejgjW29Y0oHy5r56WgVZ6W6mlkr5DKunRnLOWmhPLcuj0/3lbEuq4YN2TVcmBHJ7QsSxBE7x2Pd/tF+l8eRyWBZehh3LEgk3m4mHR3gwfPr88S1wGE8v6e4UVRxJAQJCbNeWuWADQ7na3dxg5FLXt/Fm1dNJLe6TWwUDPYY7nBuIl35lvuUyVPJL5mYGx2g56bZ8SwcHSSeC5s6esiqaiXIS4PBU832/Pp+LQb+W1Er5SQHe2HsMZ+W0JETxWy18ea2ItFnFYTn6lBfeetU3L4gkbvPSOatbUU877SPz6tt5y/fHecfP2WzODWEK6ZFMyHKr99rdJfJwubcukGnBeIMHpzjxgQf4D273dGCFNdCeka0Px/dMJVLXt8FwKtbCpmfEsRHN0zlns8PUdJglIQ7LBwVxCPLxkiuNQCBnho8NUrau81UNHeK15bTwUixa4hMiw8Qi13FDR3EB3pKul6ORKvNuXUUOSlBHL9IB29uK+KaGbF42Dtqfav+crkMvVqBsce1aOQYXQJh7OjexaO478sjPPlzDhqlHJtNGDH006tFQ8D4IE/CfXVcMyNW8iYDeOibo3xx83TJHP9dCxMlxS5H4c1huAqwwZ7c6JwiGeaj47b5CUOK53XQ0mlib3Ej0+PdFwdHGGEwfjo69DGa1i4zfnoVTUZhQ9LZY7bH+ErTQ5uMvSPIb20vdjsmWVjfTlZVK0//LMTnPrJ0NI98K+1YOo8WTYsL4HB5Cw/aPYpiAvT83p58tzGnli25dagUMu5elESYrw6tSujaG3s6CffVceu83vdWmV01kxrmQ1ljJ1lVrWKxK6uqla8O9sY/b8iulWx2HIkrfVHarwEj0fKnD5VCzutXTuSat/eyp7iRi1/bJfn8w0tH46VVsWh0iMt939xWxPu7Slg4KkgyOqZTKbhtfgLXzYwdtCsmk8k4KzWEhaOCWL2/gmfX5VLZ0sUj3x7n2XV5XDE1miunR1Pf3s0Hu0u5+9NDdPRYWJASxJvbivh4Tykd9mt+iLeWa2fGcMnkKBdfCblcxsxEAzMSAvhoTxn3felaLO4Pfw81GdF+3PKB64Hrv5W0CB+mxQcwMdqfti4TL28q+EVGH515d2eJpKP8n0KswYNxkb60dZkkhdX/FJamh3Hf4hRC+6hpOux7RoOnhuXjw7liajTb8ut5Z3uxJDnbQWF9B2MfWeOyd0wJ8eLcceFcODECg5Na+WBZM69sKuDn49XYbIJi54IJEfzf2SmS243w28Jms/HAV0cx9liYHOtPTICeT/eVc+uHB/j7eSZWTopye79gby2Pnz+W62bG8uRP2aw5XsMn+8r4fH85Z6eGcP2sODJLmtyqrgD+eWG6pPEB8Om+MrKr2/D3ULPu7jn4e6ipaO5kzbFqfjpazW77CLe7a9mKjAjOGhNCTo3gZbqvpNFFkXvdu72qz3PSQjFbrBIF/v86JQ1G7vvyCPd9+Ws/k98WPWbrKfd5HCq3zUvgywMVQ7akeO2KDF7eVMCeokZxispHp+L3i5K4dkYsb24vkjSve8xWvjpYyVcHKxkd6s0V06I5d1wYerUSk8XKtvx6vj1UydpjNUOatCqs72DWkxu5dkYM182KE2san+4rE88k186IdXtf57OCRilnQ3atWBvoy+/mJrgUukDYk6qVcugG82kO/xkpdg2RKCeDzv0lTcQHeoqjPyBsWL21KvYUN/Lh7t5N49L0MDJLGsVkxiajiVW7SrhpjpC+ts/eAfHVq2g2mvjhSBUXTYwUY3qdSeojO75kciRrj1ezMadOPESnhvtQ0mDEbLWhVysIs78g716UxLeHKiWS4wOlzXyxv5wLJ0aKH9OqFJLkBQfR/nqx2NXY0UN+bbtExSWXwfWzYvlsX9mQ/EMcrD1eM1LsGuGEMFmsw5ZmP7R0tJjY0tlj4dl1uS63EY2Ry1v4x49Cd2JWokEyupNd1cbvPzlIj8XKwlHBVLW6+gw5jz9OivHn1S293ghPXJCGVqXAZLHyN3sH5JoZscTYZ/oDPDTigvngklHo1Aqi7Cb6pfb3l2Nsxbl79dTPOZLI+qF09by0SnG8c6TYdXrx0Ch599rJjHroJ5fPXWS/DivkMq6eHuOyBvSYrS4eSWt+P3vY5tFKhZyLJkWybFwYn2WW88bWQkoajPxrYz6vbSlk+fgwZiYY2JZfL3hHON03JcSLG2bFsTQ9bMB0tq15dVzx5vA76Y0dPb+Ykubs1BDOGBPMnKQgPDVK1h6v4cM9JZLk01+CHrOVgtp29pc0kV/bLhbjRxicovqOX9wD51RS0WRkc04dS9LDxJHC4voO9tv3Wml25a9MJmNWYiCzEgPJr23niZ+y3b5PjD0WIv11LEsPY1l6uOjnCkIB7bvDlXy4u5RDTqP/i0YHc8+ZyS77yxF+e2zNqxdtDZ5akUa4rw6rTRh3+r8vjnCwrJmHlozpNxUtIciT166cSGZJI8+szWV7fgPfHa7iOzcJ6lNi/Sms76CurZu//5BFRrSfJKn3Xfv6dPv8BPGg7qtToVcrBh3P/TyznC/2C+NZqeE+3L0oCasN2rvMHChrcrkGu0t4v/fsFAI8NdS3d3OgtInMkmbq2//zVUwxAXrSInyxWG3sLmrot0E5wokxK9HApZOjSA7xso94Vvcb6jNcnA3fr50RKzGKd8fVb+8V/9137+2jV3H3oiSunBbNc+ty+WhPmWQC5XhVK/euPsK9q903E8N8tCxJD2NHQT1HnSyMpscH8NzKcRwqb+GZtblkVbXywoZ83t5RzA2z4gj10XK/vUF5+/zEfj0bnQ3sfXQqSW1BpZBx1bQYfjxaTUVzJxe9upOHl47mymkxksfoNltEcUGA5+DjmSfDSLFriEQ4zcjvKWrkwomRBHn1dsC0KgUrJ0Wyp7hRMg8e7K3hkslRPOqk+nh1SyGXTInCW6tib7Hg6XDPmcl8ureMQ+UtGHvMYnKiM3F9JH4ymYynLkznrOe2ihf5NKckxvhAT1Hm6KFRctX0GFEdct74cL48UME/fszmjDEhEpWaO5+Gjh4LQV4a8QX9h88OoXBWUMpAo1Tw8NIxXPPOXpf798eaYzU8tGT0iGR+hGGzo6CB5mEcDC+YEEF6hK/4/235DZJwiGXpYXxzqJKyRiPt3WZu/2g/JouNM8cE87u5CZJiV3VrF9WtXQR4qLlyWrTb17zzIcw50fH88eGin9eHu0vJr23H30PNbfMTAKF76/zeP3OMoPRxLDqOYpxD8ltgH1/eU9TIhuxaFHIZjywdLRbAnb83cI0OHhXiLY5lxjhtZkc4PZQ3GSXydQfrsmpYlh6GTCZ00xxeBwNx4Ss7uXSK4OXgrnM2EFqVgiumCtHVa49X8+qWQg6UNvfrZ/LsynSWjwvv91rdY7ayen+5ZPT+t8z67FoK6zr47lAV4X46Ivx0XDo5miumRrO7qJFtefWSFLDTRV8T5xH+e3BWxLtjf2kz+0ub+ct3x1mSFsrCUcE8ty4Pi9XGrESDuOez2WxkVbWxIbuG9dnufRcdzE4M5OY58XhpVUK3P6+ebw5VsuZYtajMVClkLEsP56Y5cSNFrv8gHNMZl06JEgtPT61II8JPx/Pr8/hoTxnb8xv4+3ljmZnYfxM5I9qfD66fyobsGq59x9U3Lz3Ch39elI63TsXKV3eRVdXKJa/tYtX1U4gL9KSmtYu82nbkMjh/QgRHylv4cE8p3xysEF9jSrmMhaOCuXhyJLMSA1mfVcON72eKX8Nmg9yadlEIAELT3NmfciAedxpxjzV4/FcUukCYCBiOYGCE4eEoGJ9uPt47PI/H4voOUsN8XArVBk8Nf10+lqumxfD4j9n9qqccBHtreP7i8UyM9uOTfWW8tqW30PV/Z6Vw0+w45HIZi0ZrWZASxJrj1Ty7No+cmjaeWdvb/D9nbCi3zUtw+zXya9u42em9XNsnNMBPrxb8yRYm8sCXR/nmUCUPfX1MUCMuHiVabWSWNGGzQYCHmgCPkWLXbwLng4RjHt25EquQyzgnLZS//ZAlif4O8tIKZp8/ZouHm8aOHl7ZVMA9ZyZztFLosI2P9CPO4Mklr+9i9f4K7lyQyD/XSlUnuTWuG2KDp4Z/XpTOVfZ59Lr2bnEsMT5QenB1LtgdrWghyl9PaaORv353nKcuTBc/V+imU9q3i3ioz2ZLZg8VnpcSxNzkQDYN0ZC3ormTrKo2Rod5D+n2I4zg4Ac33b6B+PPZKTQ7jSg6F7oumhjBotEh9mJXJw99dZTiBiNhPlqeuCCtX9Prx5an8viP2VisNvH95KDEacPyopMUeUm6MCPfYjSJyrK7FyWJwRWf9Sk2OIoLDnVpWaMRm80mFrsK69qxWm2iT9/KSZGMj/IT7+/voUbjpMIJ89VJntuYcG/x/d3X5HiEU4vNZuP+L4/SY7YyJymQvJo20X/nzo8P8t7OEu5bnEJGtD/XzYyVqAHdUd3axTNrc3lmba6Y7Ll4bCiBXkMfRVLIZZyVGkpahC/XvrO338LL7z85RLCXlulO/nA2m40DZc18nlnOh24MvNMjfaloMord6Qg/HXcvSiI6wIML/r1jyM/xVOMoNubUtIn2BCOMcLIsHhvCvOQgJkT7EWfw4KuDFRwobUalkPHqFRn8eKSazzJdi8nGHguf7iuXFJpXTork071l7CpsYEdBA9V91MNjwrxZkBLE1LgA/vjZIfE68sHuUtFMXyZDovSNCdBzyeQoLsiIGBlX/A+jsaOHLXnCvvrq6THix2UyGXctTCIj2o97PjtMaaORy9/czYKUIP50VopE3efMobJmt4UuELwiZz25kenxASwfF0aLsYfKli4uenUnb1w1CZW90221wVVv7ZEUX2MC9Fw8OYoLJkRI1qEzxoSITfaUEC/evHoS2VWtHC5v4WhFC+uza7HakIQIDZX/ZHXnCL89MqL9SAr25Mej1cNqqDvjzorolcsnoFLIJSO6Du75/DD3fH6Y5ePCOHdcODMTDaKfdUlDB1vy6uk2D+6JXdPa7WKR4eDq6TES2yK5XMYZo0OwWOHWD6XWEbk1bWzLr2d2UiA2m42CunZ+PFLNd4erXPZMV0+P4fKp0Rg81ax8dRc5NW1c9sZuPr95Gs9fPI7kEC+e+jmHN7cVUdJg5IVLxqFXK/kiU7BcmZscdNoFLyPFriHiLOUraTBS3dIl8VlQKeRoVQounxLFCxt6pYyBXhp89WrOTRdGRhyqije3FTE3OYi2LjNqhZyEIE/USjkLUoJYn13LsUpXM9m3thVxrZMRsAPnRMf3dpYwJykQcFWCORvU5tW2MznGn7ImI59llnNWaoiY6FJoV4q8dfVEl8XQS6PkkWVjXBLonD2RH1k6hrk5m1x/iP2w9njNSLFrhGFhslj5+fjwYu8DvTRU97OR+tNZKTTYD+RHKlo4UtGCXAbPXzIeX70as8XqcnAYH+VLZkkTWVWt+Huo+fjGqcx7epMo4S9vMtJjtvLd4UrR+w6goLaD+Snw5M/ZNBtNJAV7cvEkYYStuqWLx76X+ma0dZnw0qrEgntbt5mWThNx9mJ2fXsPb20v4mBZMx5qBXcuSJSohs4dFyYpRJT06RqG+mhFJVnfAvkIp5ZNuXXsKW5Ep1Lw9/PHco/9kBpn8KCypZPMkiYu+PdOpscHuHTLbpgVyw9Hql0Uv6NCvcmubiWzpInMkiYe/fYYMxIMLE0L44wxwYOm9zS0d/Pihnw+3F0qGgXHGTwI99NR3NAhMWa/9I3dALx51USOVgj+cO4OGn9YlERxg5Ev9guHdx+dimtnxOKjU/LB7tJBU+pOhrNTQ1g8NpTp8YJP3tcHK1hzvEay+eyrqhthhOEwJdYfpULGwdJmUckC8OPRahraezBbbTR19HDf6qMA3DovgfkpwcxPCebBpaNJe2TNoF/jtg+lsfdalZyZCQb74wSJ+8Auk4WnL0rn0td3uzyGY706d1wYV06LYULU0CLsR/jtsbuwAZtNGCV32B04MysxkLV3z+afa3J5f1cJ67NrWZ9dy6LRwdw8J05iaP3K5gJJ+EdGtB+vXJ6Bh0bBT0er+TyznB0FDWzPb5CMFNa397D8pe2onUKlDpYJxdyzU0O5ZHIUU+P8+32N3X/OKLbk1pFd3cbrWwp5eOloNEoFxypbXPZXIOzZjN1myXtshN8mOpWCEB8tEX46ovz1BHtr2ZhTe1rTKE8Xjr3UqebmVfvxUCtYmh6GRinnczeND4cn10DEGjxoNvZILA+mxwdg7LEMqPrtNFlE5ViL0cQ3hyt5e3uRONnho1OJ/uN5te1DCnX44PopkoCs96+bzAWv7KC00chtHx3goxumcuu8BCL99fzxs0Osy6rh2nf2ct/iUXxt9xe+fKp7r8FTyUixa4h4apSS0cKteXVMiO5VT8jtF/fLp0a7FLsArp8Vx2eZ5VisNsJ8tFS2dHH9u8LoU2Kwp+h/8n9np7Axp5afjrke5M1WG3d/epD3r5siSdzqe3jdbE9QDO1TFMuuEqqxDv+hvSWNpEf4crCsmXtXH2HN7/1QyGXiG2hKbIDLc/D1UHH+hHB+OlYtUXs5L27uFuKBWJtVzZ0LEwe/4Qgj2Nk5zBHGFHt3s6HDVer+0JLRGDw16PvIh+9amMSkGKGQrFTI8daqJGk7o0O9xbGCp1akEearIzXcR1wkrTYhcfTBr4QDj1Ylp8tk5VB5M/uKG8Xu+1/OTUWpkNtVP0do6zKTHulLdUsnNa3dHK9sZUpcAFqVAh+d8Bzq2rpJDPYi2FtDTWu3mHxy58JEgr217C/tXajVCvmAHho51e3YbOCnVxEw0u0/rbxn9zm5bEoU4b46UXF305w45iQF8ezaXD7ZV8aOAlffqOzqNr67fSafZZbx9x96DypCQEEACrmcxo5ujla0ilL9P6+GcZG+zE0OYl5yEGPCvMXOXpfJwtvbi3l5Y75oZjo1zp87FyQxLV649lutNnYWNvD2dmmyorvOJMAD54wSPFg+OSgqTYK9NcQHevLSpvxfpMj049FqMV0uyl+PXq3A2vcUdZKMCfOmvKnzF03fGuHXRa2Qi8Xg3UWNxAV6cO3MWGYkGCis6+CrgxXssSdz7u6T0Hvj7DhqWrsoaTCSV3tiSsLLp0RzxbRobDZhuuBAaRP7S5s5XtkiGUt3x9rjNUT46UgI8nRrUzHCbx/HaNvo0P4bw15aFY8sG8OV06J5ek0OPxypFhNFR4d6c/6EcL49XCWZzHj+4nGcOy5c/P/5EyI4f0IEZY1GvjxQweeZ5RLFOrgm327849whjdEbPDX844I0bnhvH+/sKHbxpZyTFEiIt5ZP9pWRHuHD17fNxGazUdfezba8ev76vXRyZoRflvPHh3P5tGh72qNmwFCcLpOFZelhlDYaOVLRMqzwsl+CidF+TInzJyZASEyXy2SUNxn5y3fHceceMSrUG4tVeN07j94Ol44eC98eOrGU4/MnhHP7/ERi7Wfs1i4TT/6UzapdpW73jH1Zvb8cb62KNcdr2Jzbm9brpVFy2dRoZicaOFrZQpfJIvF1dDA5xp8VEyM4XN7Mql2lJAV7Mj1eWicI8tby3rVTWPLCVvYUNfLujmKunRnLsvQwQn20XPP2XnYVNrLsX9sBWDgqWDKJcroYKXYNg5QQL7HYtTGnlqXpYeLnmuwX4CBvrRjBC4gm9skhXmKRKcRe7Gq1x+g6L15JwV5cmBHJJ/t64+id2VHQwKtbCrhlbu8sbYHdV8RPr8JitYmP21cBlmVXdt21MIlgby2fZ5ZT0dwpHpgf/fY4t9pndL20Sjw0Shdj7rLGTmQyGX8/b6yk2GXqs/i569L0x9GKViqbOwnz1Q1+4xFGAH44MrwRRkdRoe9GKSPaj6vsIwHO5o9hPlrxveCg78HWUay6clq0qIoc61TsAsTx4smx/twyN56r395LZkkTOfZRsZUTI5lq9+/6+mAl67NrUSlkPLUijSd/yqGmtYZj9mIXgMFTTUunifr2HhKDhZFEhwl9fKAHV08XklNW7+/tGDmrytxxzD5K3d+4wwinhi6TReySXzxZUPKF20fL82vbWTkpihtmx/V77d+aV8/4x9ay5/4FXDkthplPbBR9ShyP6++hZnKMP+129V9Fc6foC/TM2lwMnmpmJwVi7BaiqR0hI2PCvLlv8ShJh86BQi7DRze4n8KNs+No7TRx2Ru7Je+lmtbuXy3+vO8h7URQK+Q8vGw0U+MCiPTTS4z5bTYbhfUdvL29iFW7hufRMRBKuYzoAD0eGiUN7T3Ut3cPavo8wukj2FuDRqmQvJ4K6zp4cUM+Lzo1Nw12w+y+jH7o55N+Dm9sK+KNPonaDoK8NEyPD2BrXj0NbooBxh4LL20sYNWuUm6ZG89V02MGTW8d4beF41qt1wz+e4sL9OTlyzLIr23n9S2FfHmwguNVrRz/XjoxsuEPc1wmQBxE+uu5ZkYMXlqlxHPYHTOf2Mjfzkvl0slRAyoHm409bu1Yrp4ewxXTookP9OQdu6l3mK8Oq9XG1vx63t1RzMacWvFMEemv45LJUciQ8cRP2S6P95/K5Fh/PNQKNEoFWpWcjh4LG7JrJevpr8nqAxWD7if/U9hX0sS+QdRbk2L8uHRKFKE+Omw22J5fz7eHT6xQdSpYvb+CQ2XNnDsunGXpYbR1md02/SP9dbx7zWQ2ZNeKjXBA8m8HaqWccD8db28v4pXNBQN+/YrmThrae/h0r3C++OMZyW7f77EGD+47ZxT3f3mU59fncfHkSPRqJZNi/HnzqomsdBqz/Mu5Y4b8/Z8MI8WuYZAc4iXGPm/JrRfVXABZ1b2LyC1zE8To9MrmTlHpdP2sOLbm1ZNT3Sbxtep7yPzDmUluDzwOVcc/1+QyLS5ArIY6DKrnpQSxNC1MNMvemlfPrERhpLGhvZvatm5kMqFo9/DS0ewqbKC8qZOkYE/q2rr58kCF2PVzmES6K1jtyK+X+LYAfHWgQnJQGkxN0pcfj1Zz3Uz3EacjjOCMyWJl9f7hLbhKu+z+0z7vq6cvTEchl2Gx2rjz44Pixx9ZNkainnTIbfuSFOzJfYtHOf3ftWDkq1fx/MXj0CiFTarDk8LgqebexSmA4MP14NeCAuyO+YkkBXuRGu7NuqwayUhzgKeGgroO8UDV4rTQPbosFbVSTpfJwlcHehfkurZugr01eGiUolzZGYdHk7N5/winnuKGDnosVnx0KtFvbVKMP6t2lbIuq5bzxkdwxZvCKFJCkCdPXDCWXYWNrNpVIvExmfy39UyM9uO9ayezu6hBchBp7OhhT4egKlHIZQR5aegyWTD2WDBbbdS397i8d9RKOVdNjyHCT4fNZkNm73B+kVnBF/ulXf04gwcdPWa3xavXBvEXOxXIZXBOWhj1bd3sLPxlUhN7LFbu/1J4b8pkgsq7rWvwWO8TYXSoN+OifPHSKKm3F7msNhsWq83Fs+l/mQAPNXOTg8QxWXeMCvXm0ilRzE8JIrxPI83YY2Z3USNvbi1iW/7gZsVDLdaeiEn2cBqDfYk1ePDkijQmRgsjauuzarju3X3EBOhJCPJiXVYNOpWCq2fEsO54DXm17Tz+YzZvby/mroWJrMiIENfGEX7bOBrnw2kcJAR58sSKNOYkB4pnEmfOeHYLk2P9mZ8SxPR4AykhXsjlwvX/7e3FfLynVBwh9FArOG9COOMi/fhkb6kYruXg/i+PitfJ62fGcsPsOPEcUdpg5K3tRXyyt0yS4u4gxEdLnP2cpLC/Hn88Ws3CZzZLPIRnJwVy9fRo5iYFIZPBuS9tH/LP4rdEnMHDrTfynj6K0BF+XfYWN7m8zvsj3q70za1u47PMcreeXaeCgroO0ae1P8oaO5n/z81Derwes1U8A/jqVWRE+TE9wcCsRAOJQULI3YbsGh786hgVzZ1icTk90pdFo4P7fdyLJ0Xx2hYh6fuHI9WsyIigy2Th3Z3FktsdqWj5RYQuI8WuYTDKSYHV3m1mb3HvhSnLyQ8rzsn35q3txWJhaHaiQZyHDXFKHOk70xzkpUUpl7kkcbV1mYgO0FPSYOSOjw/w3e2z8NGpxANsfKAnk2N7/bte21LIOWNDSY/0FS+s4b46POwR189cNI6Vr+0kt6adSH8dZY2doqw42FsYZ7Jhlzlqezf4l76xm2OPnsmZY4L5+Zig7voss5zb5ieICTEeGiXd5h4uzIhwa8jal5c25nPtjJgRP4kRBmV9Vo2LjH4wvLRKWrtM7Crsfc8GeWlEOfDTa3IkKSfO6o3cmjb+/IX7hLkXLhkv6ZAnBrt2SZ+4IE3i7+fgwSWjRT+wuz45SFuXmfFRvtw8Nx7oVXxmOxXSDfZ43ob2bkwWq2TD5EhfWr2/gvZu6WH8tnkJ4shlf6SNFLtOK532zY+nRile5xaOCsZTo6SovoPFL2wFBJXV+9dNwd9DTUa0PzfNjmNnYQPPrs1lv32t2FfSxOIXthLkpWFcpK9bnwaL1ebi++WOHrOVP31+uN/Pe2qULEkLZUlaGJ9nlol+EtEBenz1apewklNB38RQB1YbkhEAx3r6S2GzcdoKXSD4ajp7a54IjiJnXVv3oGmeJ4percBPr3bxj+tLpL8OP72aw25GIk6Gho6eAQtdIOzJHvzqKA8ivE4WjApifkow4yJ9AcGgeyiFLgBvrZKpcQFMiw8QmwbZ1a3kVvcGTJwowyl0RQfoSY/wZXu+oOAqqu9g5as7WTAqmMunRov7r4b2Htb8fgLXvbuXrXn1fLynlK9vncme4kaeXZtLRXMnf159hNe2FvLQktHMTQ46qe9hhNNPWoQPIBREukyWISvzPt1Xxn19EnKXpodxrKKFwvoOdhQ0DDgCFR/owVXTYzhvfDhe9hCdFRkRtHeb+d2qTLfJdgOpEEFQcl00MZJn1uayLquGf/yYzfeHq7hiarRo+wDSsKzp8QFolPJ+TfVPJbMSDbxx1USxQemgs8dCjT2JO6+2nQ92lZzQ+uOu0PW/gpdGSVSAHpVCTm1rF1WtXSdc7HcQ4q3FV6+isL7jV/PjLKjrEIu9/2kkBXvyzwvHkRru7fYMPj8lmNRbfZj8t/Xixw6VNfPT0WrOHhvq9jEVchlL08L418Z8dhU2MCnGj9s+PMCRihZUChmR/noK6zp48KujzEwwiHWJ08VIsWsYOHt0Afx0tNdXy3ljbnV6r63LqqGgrp34QKFCeseCRG75YD/fOG3Yvz9SxSNt3ZLkksmx/i4LkNUG3SYrBk8NZY2d3P3JQV6/cqKo7IoP9HTp/t68KpOvb5tBqX3e35Ho5vgat8yN56WNBVQ1d0kOGAEeUu8edZ/u35iHf+acNOmL/OZV+1n9u+no1Ar89CoaO3pYPj6cn49Vi6OV/dHY0cPh8hbS7RvREUboD+exkaHir1fzQJ+FyKEk/PpgBf/eJJXvOqTB9e3dXPvOXrfdSICUEKl/RoKbkYAzx4QAYO5ToFtmH4N+cUM+mSVNeGmUvHDxeDGBxTFeUFzfISpuHO/Lho4eXnWSHE+xF7ktVhuvb5UqbLw0Si6eHMWDXx9z+z04cGymRzg9BNkbHDWtXXR0m/HQCKPiy8eHiSNwcYEefHjDVImvjlIhZ1ZiILMSA2ns6GHmExvErmFtW/eQClong6dGSV5tO5e/2WuAfcnkSPw91MNWWA7E8nFh9hQkL2wIiuVHvjk2oB/RiRa6Qn20RAfoCfHWotcoqW7porK5k/r2Hho7ut16dvynYLHaTijRbDgYeywYe6SFLo1STmKwJ+G+OmGP0tTJkfJmScCB820j/HSE++kJ99UR4q3F2GOmrr2burZu6tt7qGvrPmW/i+zqNrKr23hp48BjGpNj/cHWm7jtoLXLzJrjNazpk0p9upgQ5csH109FrZSz9ngNL2/K53B5CyUNRiqbO1mWHk5coAdbcuvYXdQo+jI5xMht3WbUSjmvXpHBRa/u5GhFK7d8mMnq381gaXooH+wq5V8b8yms6+Dqt/eycFQQD5wzeth+qyP8coyP8hP9fj/PLOfyqdGD3ufrgxUujYzXrsjgDPuepLi+g3VZNW7HmxyolQoOlbXQY7YyOtSb2EAPgr20eGqUvH/dFA6WNfPot8eGZUTuzq/rSEULf/qi/6bLUDyJTpQZCQGoFHJ2FzbSabKwNa+emU9sZOXESC6x+2sC6NQKYgwexBg8mBoXwBX230GXycL6rFr+9Pmh/3kzfYOnhlAfLXKZMOrd1qfx2tZtdhvA5kxahA/njw/HV6/maEUL3x6uHFDRWG0vQILQ2Dh3XDgqhYzSRiMlDUYOlDYNegb9X2BpehjJwZ4kh3iTW9PGB7tKqGzpIrdG2N9dMyOGa6bH4qOX+jo2tHdzvZNPqyPN+ncf7OeSyVE8tGS0aHzvjMOm4/PMcn44UoWxx4K/h5qXLp3AhGhfFj2zhdJGI+/tLOF39ib/6WKk2DUMwny0or8VCL5BMQF60TjSgVoprYy+sD6P5y8eD8BZY0LcdqP/9v1xnrPfBnpHEx2cPyGcrXn1VLd2MSHKl9YuE+uza3l+fR7lTcJmMspfT7394GPw1OCtEzqQ176zlxnxguojso+J5O8XJrG/pJmdhQ2SRMVvDlXywiXjxYp7k9HVB+L7w1LfpKyqVh746ihPX5iGv4eagroOmo0mvr19JnOe2uRyf5Cavj69Jof3r5vi9nYjjABCUuhgC6U7tuTVUd8ufQ2rFHIOlTWLm8HfzY2ntMHI90eqaDL20GWycMN7+yhv6iQ6QI+XVil68QGc4UbCa7JKC1qX2L2ZAP61sbdId/6EcGQyGXuKGnlxQx4Afz0vlUinYnSkvw65TDC0rG/vIdBLg6dWuGQfKG2WSN4d79O1x6td0vEeWjpaLKA5MybMW/xZGjw1RPiNeOadTsLsBZaSBiOr95dzxbQYAKqaewsTerXg1dEf/h5qjv/lLNYer+HuTw66bCRPJY61znkj6eCjPe59xU6GoaQQDYdxkb7EBOixAWaLjZyaNvLt/pZVLV2nvCA0KtSbhCBPPDUKmjpMtHeb6TRZ6DZb6DJZ6TZbqG39bXlvTY8PEINoKpqNHChtJq/2xMx3u81Wjla0Sq6RIKj0UkK8SYvwIT3Cl7ERPiQGeQ44Plfd0sWmnFrWZdWyLst9gSnQS0NjR88p9bM5FWNEId5avHVK5DLZkIqxY8N9OFIhVb7tL23m1S0F3D4/kbNSQzhzTDBb8+r518Z89hQ18sX+cuQyoWHy6hUZ7Cxo4Iv95RLV4V0fH+CaGbG8cnkGS1/cxtGKVl7elM9dC5O4dmYsKyZG8OL6PN7eXsy6rFq25NZzw+xYbpmbcNq77CMMH4Vcxo2z43jk2+M8+VM2sxMDJSnxfdmeX88f+6SmnzsuTCx0dZks7C5q4OO9rtfyCD8dXSYr9e3dZFW1SiZXQChWR/nriQ7wIDpAz3njw4k1eJzS5sdARPjpmBTjT5CXxh7W0Dys+6dF+HDdzFjmJgVJDvZNHT2s2lXCuztLqGvr5l8b8/nXxnx8dCrmJQeSGu5DS6eJmtYuatsEL8ra1i63Pnm/JSbF+LFodDBnjA4RC9oO4//ypk7KGo3i38UNHZIJiOFS395NS2fPoKEZA3G4vMVFDSyXMaTGR3Z1G9m/so9biLeWucmBdJutfNnH4+yRpaPRa5Rszq1zOUOfTry0Si6dHCWGDy0aHcwNs+L4yt7sL6rv4Ll1eby1rYib5sRzzYwY9Golh8qa+d2qTCpbuvDTq3j32smMCvXmmbW5vLK5gI/2lLK3uJEXLxkvmX6z2Wy8vb1X3WnssTAl1p9/XpQuhlncPj+Bez4/zEd7Srl5TtxpnewaWdGGgUwmIyPajx+OCIquho4eyabAob5QK6QVzq8PVnLDrDhSw32Qy2XcuSCR3znNz8tkwkb/nLQwFo0OpsVocqlir95fwatXZHDT+5nsL23mnLRQvj9cxfPr88TbhPlq2VcsFL7CfbW8cMl4zn95h2QDGukvPdAqFXJeuGQ8S17c6vI1nQ0hHReZpy9Md1lAQaim59a08cX+cjKi/fCzx903GnuIDvDAW6t0W1kfG9Fr6L01rx5jjxm9euRlOYJ7nOOy+yPEW+tyOO9b6BI+1s2N7++j22xlQUoQfzwjmYfsvllNHT384dNDHChtxken4qVLJ7DkxW2S+3f0SF/P3WYLv1sl9cVwGOLvL22SKNKM3RYaO3q46+MDWG1wwYQISSISgEapIMxXR3lTJ8UNHQR6adDbRxcc4zeOhMeWThM2m41/b3b1TVo0OpiuPsq08VG+6JzGIKbHB4yMEJ9mZDIZ10yP4ZFvj/PUzznMTAykydgj+kCCENZx43uZvHTZBDwHOHAuGh3MzvsW8NLGfN7cWiQZ6/XWKlEr5W5f88Pht1SUORFaO00oFXImRPkR5qsV/MyKGt0e7obCrEQDycFexAd5Eh/oSXKwl0sHtNtsobK5i4qmTsqbjFQ0d1LSYKSkoYO6toELXWqlnDiDB54aJcUNxhPyfxoKwd4aJscGEOqjxU+vxt9Dhb+HhhkJAazIiGR9Vg2vniL/tcVjQ7hyWgwZ0X5uC+4OhN9NA7sKG9lZ0EBOHxNrg6eaRaODOTs1lGnxAeJjdZksNBtNNHR0szWvnm8OVp70GGhfFHIZMQF6Yg2e+HuoKGvs7Ncvbl5yIPNShORT58ZFe7eZ9Vk1/HCkik05dZLXQVuXiaXpYZjMVrKrW8Xm6XPr8vhoTynLx4Vz3oRwZicFMjspkL3FjfxrQz6bc+v46mAl3x6u4oIJ4az+3XSue3ef6LHnKB5nRPsxJTaAn45V89LGfFZkRBDhp8dbq+L+c0azclIkj357nK159by0sYCvD1byxAVpbsMqRvh1uXxqNF8erORQWTPXvLOHj26YKiqGnWk29nDnxwcxWWwkBHmSX9uOUi7jT2el0GWy8MneMl7elC/u+T01Si6dEsXV02NE/xybzUZFcyfHKlvFgld2dRvlTZ10m63k1bYPqzA+IyEAb62KrKpWF4HAUDhzTDB+ejUlDUZ2FjZQ3jS8wtrYcB9mJBgYG+6D2WqltcvMqt0ltHaaaLH/ae0y0dQh7KWcaek0DdqM0arkhPvqCPPVEeGnI8xHR7ifTlC6emnYnFPHq1sKfpGwlugAPbMSDcxMCGRGQoA4fuqMTCYjyEsLNqhv66a920xJg5Ejp2Dk/GQKXf3xn6S2rm7tcrvPCPfV8fKmArsy+vQ0KpelhxHio3XxUG3rMnPJ67u4a2Eidy1MAoQ9x0UTI7lgQgQ/HKnixQ155Na089TPObyxtRCVQk5dezc2m+AP+fqVE0kIEiZO/u+sFGbEG/j9pwfJr23nvJe388LF41k0OpjNuXXc9clBiXn+o8vGcMXUaDENHOCctFDuXX2EUnux1XnNPNXIbH3f1f/ltLa24uPjQ0tLC97e/Uf49scbWwslkl+NsteIfcs984gK0FPaYGT2UxuBXk+RGQkBrLpuCjKZDKvVRtx9P4iPcdPsOF7dUojBU83Pd82msL6DC1/ZSbivTuKJccOsWCxWeGt7EQZPNVNiA/jeKZWu6PHFfHWwgt9/coiZCQZWXT+FA6VNXPL6LrpMwnPsGzPsYF9xIxe/tkvi8eGnV+GjU0kWpteuyGBGgoExD0vThS6YECGYYf6UjVohJy7Qg+zqNu5elMQdCxLJqW7jzOe2uP2Z3jQnjlfth/Spcf58fOO0QX4LI/wv0tljYdRDPw14m7hADy7MiBxWQk9CkCdf3jIdL62Kp3/OkSiwVAoZ7107hQ92l/CdvQvj6DClR/ry9a0zAGFj+MfPDrv4yMxKNPDK5RksfmErJQ1G/PQqmowm4gwehPpq2Z7fQKzBg29vn+m2uHH5G7vZll/PkyvSuGhipOT646VV8tzKcVz37j6CvTX8/byxXPeuq5/F0UfPZEd+PTe+nyl+7G/npfLZvnLR6+nx88dyyeSoIf/MnDnZa+p/Cqfi+zRbrKx4ZScHy5oJ89ES4KnhSEULF0yI4IIJ4Vzzzl66zVaSg73416XjSXQTeNCX8iYjL67P5/P95aLKZahd0BGGh7dWiZ+HGh+dSvxjtdmobumiorlzSAeZUB8tYb46vLRKfHUqfPVq/D3UQoGyrZuq1i52FjS4JMf+N+ClVTI5xh8fnYojFS1DOiz76oVAh26zhc4eQSXXZbLQ3m0+rQVZtULO5Fh/5iQFMic5kMQgT45VtvLC+jyXccYgL43LOHFCkKdY/JoY7S/6QO4qbOBipzQqZ2IC9CgVclGB6MzoUG/OnxDOsnFhBHlpOVLewvPrc1mXJRTLnd/zl0yOpMtk5bvDlS4Hz3PSQnnp0gmSj9lsNtYer+HRb4+Le85Lp0Rx3+JRAxbdTwUj68fwqGrp5LyXdlDd2kWkv45XL5/I6DDp4z27Npfn1+eREOTJ3KRA3thWxPyUIGYnGvj35t6CS4i3lutmxrJyciTebgoi7jBZrFQ2d1LcYOSTvaVi8/9/kegAPVdPj2FJWhgGT/WQG4Zmi5VNOXW8tb3olI9nhvvquGxqFLMTAxkd6i0WFxzFy6MVrRyrbOFoRQvHKlvd2iB4qBWkhvsQ5qvD30NYn4w9QjGsqL6DwrqOfq09RvhtEewtKKD7rgMPLx3N0vQwDJ69lkUWq41vDgk1BGe8tEq2/3m+22tEQ3s3v//0EFty6/p9DvseWCj5Os7Me3oTRfUdfHzjVDGZfjgM9bo6IqEZJkK6YW+xy3mzdbii2UVWfP2sOO5bfYTt+Q1syatnTlIgcrlMMsp44cQINubUklvTzgNfHWXBKGE8KsJPWux6Y1sRH1w/hR0F9WRXt9HSKY0cbek00W5XTzk2KOOj/Hj+4vHcZD/ofne4ym2xa2KMP/cuHsVj3/UmezUZTTT1iTVVK+V4aJR8cuNUSXxoVlUrT1+YxoHSJtYcrxG/N8eGPcmNcbeDm2bHi8WuXYXDM98c4X+HOz4+MODnPdQKXrsig3d3lAz5MYO9NbxzzSSx89U31vsf56dxoKxJLHSBMIde1thJh9MI2VM/54ijJVPjAsQNTEe3mb98e5ySBiNhPlpeu3IiS17cRmF9B4X1HejVCl69IqPfA0WMQc+2fChpEEYTDzl13f5+3lgx/bGpw8TTa9ynsyhkMklRHITZfeeY4enxw19kRhg+SoWc16+cyMrXdlJY1yGaW5+dGsL0BAMf3ziVG97LJKemjSUvbrOPHMW4GOU6E+Gn54kVadw6L4E3thXy6b4ysbnh9jnIZUyM8UOnUpBf1055U+dJG8SCcI1PCvYi3E+HWiGnplUYFXT4ZvxWOXecoKi2WG20dpqobu1iW1695L3moLXLfMLeHxqlHD+9mo5us6hm/l+jrcssUTIOhWaj6aR/XrEGDxKDPClv6iS/tt0l4MRPr2JshC8yhMO8o9O8Lb+ebfn1/O0HV0+jSyZHctfCJIK9tdhsNnJr2tmQXcvGnFoyS5rIr20nv7ad17cW4alRiulWjmbK2akhPHVhOhuya/nhcBUbc2rdKl4i/HTUtHYJ4QXft/L3H7KYlRjI+RPCefGSCWRVt/LMmlyJ2b5KIee+xaO49+wUVu0q4YPdpeKo1feHq9CpDnHT7DixmC6TyThjjHANeuLHbN7fVcKHu0vZnFPHsyvHSYKPRvh1CfXR8clNU7nizT2UNhpZ/vJ27lqYyA2z4kTFo8NP+Pb5Cby1vRiADdm1YghPmI+WW+YlcOHEiAHXFneoFIJq+NXNBeI+R2NP9L1xdhwapZwGe5JsfXsP67Jq+HwIIVWnE7VCTqivFp1KgU6tQKuyXPlsAAD2z0lEQVRU4KVVig0Lb6fmhY9ehcFDg7+nmgAPtXgWsVpt7CpqYPX+Cn4+Vk1bl1D8efTb4/xrQz5zkgOFgmJS4ICFw8aOHrKqWimq7yDEW0tysBe5tW2nZA0GqGju5Mmfcnjyp5wTur/BU4OHRsGBsmZ2DzDWrVLIiAnwID7Qk4Qg4c+oUG/iAj1o7TRxuKKFQ2XNHC4X/u5v1FOrkhNr8CTO4EGs/U+Enw6rDfE6LQPkMhkymfCxA6XNbM+vP+3rqEYpZ1KMP752BXdlc6cYEnS6mJscyPUz4xgd5o2fXkVNazdXvLn7hO0FUsN8mJcShA0k4Q+Pfnucv36fxZykQJaPD+eM0cGUNhpZ68aXsq3LzD2fHeKx5amCGtBOi9HE1rx6NEr3qm2Dp4Y1v5+Nv4fa7edtNpt4jurvMU4VI8quYWKz2Zj2+Aa3MeDXz4zlgSWjJcqu5y8ex5HyFt7YVkRysBff3zETpULO3Z8eFOfbzxkbyu/mxrP8pe2YrTbiAj0orOtg4ahg0a/ivPHhfHmggjiDB8+uHMeFr+6kx2yVjAdOjvVnWlwAz6/P48KMCJ66MB0QqrXxTkqypy9MZ0VGhNvvLfbeH1w+7syH108R0yXPeHYzuTW9b8D9Dy5Co5Rz8Wu7RA+KGQkBfHD9VAAWP7+13xGD51aO465PDgLC5m7b/80f8HmM8L+FscfM6Id+HvA2r1yewVmpIVz4yg63ccGPLU+VXOwB1vx+tlgwAlj56k5xgb99fgJxgR5il8NhDusoVIf6aNl57wLe2V7EI98KReInLhiLTq3kjo+khTmZDD64fgoZ0X4kP9CrTnvp0gkuQQ/OvLQxn6d+zmFFRgT3LR7FhMfWip8r/sc5tHWZGPvIGpf7ObzwZDI4/uhZTPzrWolxavE/ziHmz9+L/y96fPEJjzGOdOaHT7Oxhzs+Pijphj1+/liWjwunrcvEPZ8fZrP9c7EGD+5amMiStDAU8oF/R83GHl7dUugSuOBg5cRIzh0fxsRofzp7LDQaeyisa+f/vjh80mOPIGxc/fVqfPVq/DxU6NVKukwWShqM4njVCEPnzDHBLEkLY1aiAV+9dMPY1mViQ3Ytn2eWu01EOxHSI32ZGutPmK+OIC8NgV4aFHIZ7d1mukxWjD1mukyCwspospBT3camnDqXxtvJ4KVRMjU+gPFRvvjq1MhlUN7USUFdOwV1QgFpKKrFW+fFs3xcuIs60mK1cayyhZ32FLq9xY0uMfFBXhq8tEoK6vpPTZsU48fMhEBmJgaQFuErGdNsMZrYml/HhuxaNufUuT3oXTE1mnPSQpkQ5YdaKaejWygE/nC4ip+OSdUyDgVht9kqSRvzUCs4e2woY8K8efTb45L7GDzV3L0omZWTIjFZrHxzsNLFAHxeciC/m5vgUszaUVDP/31xmLLGThRyGfeencJ1M2NPy6j7yPpxYjQbe7j700NiASvW4MEfzkji7NRQpvx9PfXt3Vw0MYJP9/UWmk6myAVQ1mjk8R+zRDWXSiHj0slR3Dovwe04JcC2vHpJuMmvhVopJ9RHS7CXFj8PFf4eavsYt9qurlVJ/u+tVfb7eu8xW9leUM+PR6pYc7xGMq7laCZNjzcQ5qtDKZeRU9MmjoL+EmOMp5qEIE8S7X+SQrwYFepNtL9+QN9FZxyqsv2lzewpauBAafMJee/+WsxPCWJsuA+p4T6MCvWiuqWL9dm1rDtec8JFqBPBT6/i+llxFNZ1UFTfTkFdx5DXXpVCxowEA5ty+ldgOXPplChumBXHezuLeW9nCRarDV+9ilvmxqNVKVhzrGbQNOOsv5zl1rjewf7SJs5/eQdqpZz9Dy46IRXxiLLrNCGTyZiVaOCzzHIUcpnEHHVLnvAiUip6L5A1rV3cNj+Bz/eXk1PTxrs7S7huZix1TtLR749Uce3MWO5YkMgza3MptG+wvOxm1F5aJY8sG8OOgnoK6zv4PLOcvy1P5Z7PD0u6zHuKGkWDVecZ7eY+5vJ/+vwQGqWcpfY0OOfvzUurHDBa3fni9sA5o7nyrT3i/xc9s5nNf5rHW1dPYtLf1gGwPb9BTB67ZV48t33oXp3jrCwpb+okt6ZNUoQY4X+bG9/LHPDzt86L56zUEMwWq9tC1+VTo/DqcyF95qJ0yWtse369pJM1IdqPG+xjgdfMiMFPr+aZtbniBbnLZOG7w5U8aldD/vGMJFZOimJfsWs37K4FSUyPN5Dr5EUzM8EwYKELEBNaa9u6ucfJK29ClC9Av4vDn85K5q/fZ+GpUbI5t1ZS6IoP9JBctxaPDRnx6/qF8dWrefeaSZLmwr2rj/D4D1mckxbKDbPiWDw2hKd+zqWovoM7Pz7IC+vzuHZmLOePj3DZQGRXt/LujmK+PFAxoKrrk31lfLJv+J5VEX46ZiUa8NapaO8yU9/eLSh/O3poMppoNvZgttroMlmpbOkSFWsjDI8ADzVzkgNFj6vWThO5NW3sKWqkuVP4Obd0mmg2mmgy9gy4Vg8XH50KD7UCq82Gj05FQpAncYGekgKrsccsjDDVC0bGnholqeHeFDmpFAdDo5QzPyVIeA3bIKu6TWKA3dZtFtMFh4OfXsWStDDOSQtlcoy/xBvEGYVcRlqEL2kRvtw0J54es5XD5c3sLGhgm30NGErK6d7iJvYWN/HsOuE6PDXOnxkJBmYmGEgI8mRJWhhL0sIw9pi59YP9bOxzyHh/Vwnv7yrBQ61gWryBOUkGZicFsiw9jD9/cVj0fNEo5f0eaDp6LHyeWc7nTsvjQ0tGs2pXCYX1Hdz35RHe21nMQ0tGc9GkSL49XCkWRuUy2JhTx8acOiZG+3HLvHjmJQchk8mYHm/gpztnc9+XR/j6YCV//T6LA2XNPLUibcRT9TeCr17Nm1dNZPX+Cv7+QxZF9R3c9uEBYgJyRL8/50LX2akhPHfxuBMqcrV1mXh5U4HoDymXwYqMCO5YkCiaTTtjslgpb+qkpKGDj09DmIkzL182gbQIH8qbOqm2B49Ut3SKISRVLV3Ut3fTY7ba/ROH1nRRyGV4qBXo1Ur0GgUeaiV6tUL4o1GKn1sxIYI1x2vEZo7ZamNXYeNJmbw7ExOgx99DTXGD8VcbbXeoVH90+phKIUOjVCCTATawAVabDZvN/jdCkUv6/9P3HMdH+RLmo6O1y0R2dZvkjO1ALhOmmKbGBRDgoaas0ci2/PpBg0ScVZHuiPTX8fuFSYwN9+F4VStrjtW4TFOcCpqMJp76+cQUeyaLbciFLhB+V+VNRibF+LM5t45Ce+Dc33/o3yLGU6Ok3Wni5ZtDFayc5N4epaPbzP1fCuKDpWlhp31cfmTVOgFmJwXyWWY5fnoVrV1msdOWW9NOS6cJD6fNQHlTJ756NX86M4X7vjzCs2tzWZIWSq29uu/w5Xr022N8dvM0tuTWsc8uzVTbC0veWkFe+9SKdK58aw/v7yrhlcsncNmUKD7YLUTWe6gVdJutoueW3ukw5BhF9NIqWZIWykd7yrjrk4OolXLOtCezOLAO0jJVORXy+koTGzp6uOqtPXx4wxT+ujyVB+wqmts+3M/rV05kTlJgv497x8cH+Mf5Y/nz6iMAnPHsFgr/vrjfDesI/zvk1bQN2EHQqRTcvSgZgKP9dIvuPXuUi8/cvOQg8d+ZJY3c8F6v31WIt5ZbVu3HbLWxLD2MB88ZLYZBOIrZTUYTd39yCJsNrpwWza3zEgBEg9ferxPI7fMTqG/v5rp394ofH0p0eJC92NV3Ht5x4HBXpDpnbCiTYoROvZdGyWf7pCMEc5KCJObXF02MZIRfHplMxje3zWDZv7aLH2vtMvPRnjI+2lOGp0bJ2HAfjD1mjD0WCuo6uP/Lo/zjx2yWpodx3vhw6tu6eXdnsWRjPSrUm0unRFHT0sV3hytPyAzYwa57FxDi09uxt1htVDR1UljfLnp3CH+3jxS4TgENHT2s3l/xi6WaOdPSaWKHXe10ogR5aUgK9iIxWCiUgaAGWZdVIzbxus1Wfjx66nx+VmREsHJSJBlRfie0X1DKZdgQwnROVH3Y3m22J0cKB6IgLw2TYvypa+tmX0mjqEQ7Z2wofzgjif2lzWzJrWNbfj2NHcKol0PF7/B1BEEpvCQtTBh1PCKMOg5UzAb4y3fHmRjth16jILe6nezqNi59YzcrMiLEg8g/zh/L1LgAXt1SyBeZ5ewraeLad/aREuLF7+bGc87YUDw0gifkhCg/HvvuON8frqKurZu3rp502g8mIwwNmUzGBRkRnJkawutbCnl+fV6/1/tOkwXFCTS11hyr5oGvjorF3xkJAfzxjGT8PdRUNndxsKxZ9PAqbTBS0thBRVPnKfWMnJ0UyJ0LElDI5Sx/abvkc7c4hX3dc2Yyc5ICSQnxkjTme8xWauypwjWtXWKjprGjhyZj799NHUITwdhjEcbaT2Js/VRR3GA8qTX8VKBWyiWKUhCKJybLif9stCo5OpUCs9V2Spo2B0qbOUCz28/NTDBw4cQIZicG4udmpK61y0RmcRNb8+p5e0fRsItyZY2d3P2pa3AbCPYOsxIDmZlgIDXch4aObkobjNTbR30b7OO+HT1mrDbhDG612VAr5ZgsVnQqJfFBHlgsNvH1W9Ui/H06ggAcfLSnlI/2lA56u4QgTybF+DM/JYgZCQHo1UqeX5fHs+tyefDrY2RE+4um9g4qmju5ZVUmWVWtGDzV/Oms5NP1bYiMrFgnwNzkQNT2ufW+sdH7ihuZ7VTUKagTJI4XT4rkk31lHCpr5u8/ZFFnP2z+44Kx3LJqP4fLW/hkbxkvXjqeaY9vABA78I7C1eykQNHM/U+fH+br22aKxa6OHguPnTuGB78+Jt73j2cKL6Amu7LL30PN35aPpdtkZfWBCm7/8ACvXZnBXPuh32q1iQqQVddN4eZVmZIqLcChsmbGR/mJj9eXzJImbngvk4eWjBY/tjGnTjikXTC235/prsJG7jkzRfKxVbtLuHJaTL/3GeG/H5vNJvGGc8fW/5snqg92ujmo6VQKXtiQJ/mYTAbeOkH9eLSihavf3isZZXGMKc9KNPD0henI5TKs9hVQKXfaRFmsLB4bwsNLx4iFJ4cay8GzK8fRbbZy/bv7KGvs9eCrbRu8OND3sSbH+ovqTXBVbfp7qHlk2RhRQWY0WVw8ctRKuUQ1MZK69euRFuHL0xem839fHJao7UA4QLtLfWvrMvPh7lI+3C3diDhGkibF+ImvxT+emUyL0cS6rBrWZ9ew7niti1/RQEx9fD0Tonzx0CipbumipME4rPuDUHDtMltO+cZsapw/182MY3p8gCQVuS/dZgtljUaxMFfZ3ElFcxeVzZ1UtnRKRlD+29CpFFhsNkwW62ntqgPEGTwI8FTT0NFDaVYtXx+spK3LdFo35ACfZ5azs6CBUaHCeE1KiDcJQZ7EGPT9qljq2rrZll/H1tx6tuTVS4r/XholS9JDWZERwYQoP7rNVg6WNYvK+f2lTS5jj32pbet26ex7aZWcMSZYUINkRLAiIwKr1caxyla25NWxObeOPUWNEp/U//viCF9kVjA7ycCNs+N4YkUaW3Lr+HRf+cCGwG68bJx9k2IMHsQYPHj8/LHctTCRN7cV8cGuErKr27jz44M8szaX2+YlcN74cK6aHsPoMG+ufXsve4oaueqtPRKfyxF+fZRymUuCYF825dSRcL+gzZmVaCDcV0eglwZPjRKFXIZMJkMuE/yROk2Cb527w+7hshbOe3nH6fg2+mVLbh078utJj/TllrnxjAnz4eO9pS7j20/9nCMqX0J9tEyLDyDO4EFUgAfR/nrCfXWMDfdx6wlss9moa++mrLGTgtp2jlS0kFPdRnZ1669e8HImzEdLariPMFYX4UNSsBdeWiUeauH3aLPZKKhrZ0dBAz8cqTolCjNHoSvYW8P0eAOTY/2JD/TER6dCqZBJPLXk9r2HXC79uAzoMlkpqGsnr7aNoxWtHK1oobDedVTcR6diUow/U2L9mRTrz5gwb5RyGdWtXXx/uIpP95VJLHQGY1t+PTsK6gnx1uKpVWKx2rDahOad2WKl0x54cjrWqpIGI2plAw3t3RwubyHGoCfO4Mm0ePcpmYNhsgjBI69sKpSkFo+P8mVBSpCYLNpsFP5klja57C1PFd/cNoO0CF+Xj98+P4H9pU1szq3j0W+P8f51UwBBGf7ujhJe2phPe7cZP72KN6+aRHA/I9CnkpFi1wngpVUxO8nAuqxaQn20kmLX9vwG0WAeILtKeDHK5TIeO3cM5760na+d4muTg72456xkHvr6GE/9lMNZfZRWgMQL4o9nJLO7sJGDZc388bNDpEf6csieqOasfqlr66al04SPTkWTXfrqp1cjl8t4ckUa3WYr3x+p4qb3M3n76klMTzBgdErXyIj241+Xjufqt3uVKACPfHucuclBxBg8+jWd25Jbx/1fHpF87JN9ZQR4qpkY7SduxBw+ZA4u+PcOHj9/LPfa1V0PfX2MuUlBLqb/I/zv8MX+igGl2wZPjSTlw10KY6fJIgYgOPDRqVDIZeTVtHHlW3to6zIzOcaf8dG+4m3TI3x45fIMMUXLoZo8UNp7kJiREMAzF42TjPq8uCEfZ7y1Km75YD8Hy5rx1atIj/Blc24dlc2DF7vanTZZF0+KFItdjgbts2ulpvSPnz+WQC+NWBBzd5BXK+W8vrX356Eaou/CCKeHFRlCku3D3xwTr+UngmMk6VRzsoasbd0ndlCQy4Rib0e3xaXpAoijInGBHoyL8CUtwof0SF9GhXpLDjMapYKEIC8SgtyPxXd0m6lq6aS00cj+kmZ2FzWwr6TptBeHfgl+ycQsR+hGfyQGeRLkrSHQU0OQtxYfnYqjFS1DVnkZPDUsGh2MWiEczMsajWRXt1HR3Cn+cSirQHj9RPnriQ/0JNJfT5Oxh8rmTkoajC4jil5aJYtGBXP22FBmJRokrx+tSsHUuAAxKcpksXKsspW9RY3sKW5kZ0GD29dnX9q6zNz58UFAeF5TYv2ZEhfAlFh/rpoeg06l4GBZs4uCYk+x8HWeXpOLViV3q+xSymWSJO3B+HRvGeMifdGqFAR7a7lv8ShumRvPeztLeHt7ESUNRu75/DCvbC7g94uSWJwayqrrp3DFm7vJLGni958c5LUrJo4o738DHK9s5baP9ovKyXnJgfzl3FSajD18eaCCt+0G9c6cjMef43quUymQy5BYJJwICUGezIgPYEaCganxAaK5e2VzJ1vz6thd2MiuwgYqW7rILGkSTcnlMkE1o1Mp3IaJVLV0/SoK2VPN3ORAFo0OZmy4D4lBXgN6IIGg9nOsdw6xQGVzJ/tKmthv//k5n1mHQ01rN18eqJCc25wZF+lLuJ8OX52Kzh4Lde3d1LR2UVjXMeD1KcRby8QYP6bE+jM5NoDEIE9kMqFQdLiihe8PV3K4vIUjFS1uGw2+ehVBXhqUcjkKuYz82naXtc9qQ1Cfn9i3fsJ0m632wp7r1InBU0OcwYMYg55YgyexBg+i/PWE++nw0UkLYWWNRj7ZW8an+8rE9UuvVnDdzFgumRxFt9lKY4egEttZ0MCG7NpT4sM6EMUNRrfFLrlcxl+XpzL36U1szavns31lZFW18XlmmVg4zoj2458XphNj8Ditz9HBSLHrBDk7NZR1WbUU9dncbcqp5aGlvaqmho4ebDYbMpngE3H5lGje39WbFuepVXLZlGi+yCznUHkL9/UpEkGvOgyEg+mLl4xn8fNbXZIofj7Wq9Y4Z2yo+GZxKLv87IkSSoWc5y4W1Cbrsmq49t29vHJ5BmPDfcT7a5Ry5iYHkRzsJakeA1z51h4+uWkqoT46gr01ouGiYyQTkHgfnTUmhJ+OVfPypgJmJPR6c101PcblotlXmbPwmc0c+8uZIwfy/0HKGo388TP30mAHdy5MFP/9RZ/En6Rgz367P/56Nfm1bVz2xm4aO3pIi/Dhr+elcsazW8TbvHX1JIlixNEdcd7cvXHlJMnB6IvMcl5YL1WRPf5jFj8dq0atkPPaFRPZU9TA5tw6sQjdH21dJnGsF+DuRUmSTWpOteAB6GB0qLc4ljyQakwhk4m+FVrVyPvqt8C4SF++umU6u4saWb2/nA3ZdRK1yX8zMhlE+unFNEfHGFx8oKdLB76+vVs8/OwsbCC/tp3COmGccrV9LVEpZIwK9SY9wpex4T4khwiPp1bIqWnrptyetFfWJPxdbv+7qqVr0A6oSiE77UqlXwq1Qo6HRoGHRomnRolGKSe/tv2kD6/9kVfbPiQzX7lMUM/K5cK1yvF86tu7JUqTWIMHE6L9WD4+TLi9TEZVSydZ1W0cKmvGahvaCFBKiBfnjQ8nPtCTEB8trV0mVAq52zAIxxhvZXMnzZ09tHeZMQ1T6QhQ2igENnzWT0rdD3fMYnSYNyUNHWzJq+eHw1XsLGxwW+g6Jy2UidF+2GxCKva6rBqXFO2+rD5QweoDFWy5Z57YTPTVq7ljQSLXz4rl/Z0l/HtzAQV1gg9UangBDy0Zw3vXTeGiV3eyLquWL/aXc+HICPyvyoe7S3nk22P0mK0EeWl4ZNkYzk4VPDgj/fWkRfjy0JLRfHu4yiU0Z6jEBOi5cGIkgV4a6tu7qWgSCst5Ne2StPihEmvwYFKMH5NjA5iZYJCMyTsT5qtj5aQoVk6KwmazUd7Uya7CBnuTo4GK5s5hqXt+Lbw0SiL89Rg81QR6CqEfBk8NBi81wV5avHUqIW21spXsmjay7UmNjqVoU06d6LUkk0Got5aoAD0xAR5EBeiJ9vcgOkBPVIC+3xTIMF8dy3x1LLP7NHd0mzlU3kxmcROHyls4WtHiNnRtuBwsa+bgCTTsqlu7+O5wlST1fDg4VEz/aQiJpd3scePzOxSMPRZe3JDv0mAfCMdryGE7IZfBUyvSUSpkZFe39Rtu5I47PjrAm9uKWJERwbK0MHz0KixWG7k1bewtbhT3U/d83huMEh2g5475iSwfHz5o4NKp5D+m2FVcXMxjjz3Ghg0bqK6uJiwsjMsvv5z7778ftdq9wuh0snB0MCqFjLzadiL8dJQ3CRf9Qrt/SZS/XvR/qGvvFuM6/+/sFD7ZWyaOguhUCmQyGX87byzL/rVN7EzKZYgXu26zlfr2blHBEumv5/ELxkrM3s8fHy5u9kHYwDlwXAT8nNKcVAo5L102nltW7Wd9di03vLdPMnroUI7cMi9e7EY6KG00ctnru/n4pqlE+evFYteCUUFolHJe31okuf2oUG+mxPnz6LfH2Z7fW8y6b/UR7l6UxDNO6pRvDlWyfFwYX9nVbz0WK0/8mM0DTs9thP9+zBarmM45ELMThRG8zJIm/tCnMOa8Ebp+ZixvbOt9XbZ0mrjo1V00dvSQEuLF388by7Xv9KoYk4I9CfCUjhBu7+MbplbKJV22nQUN/Hm1NO0KEN8PT12YxuRYf3KqW8Xn0B8mi5XbPzogKaabrDa6zMLBT6OUu6gnH1gySvy3u8SfjGg/l67e/8qY8G9t/XCHTCYTFSRWq40DZc3c+sH+U7IJHQpeGiUTY/yIDvBAq1KgVsjYU3zqjHYdaJRyJkT5kRbpQ1q4UJAK9tEMyTjZ4KnhnLRQMdihsaOHXYUNrMsSDM3buoRRhMPlLRx20+0fDJVCRrivjnA/HdEBHgR7aUU1kqdWSXuXmQZ791Tw2+ihornzpCPQffUqZsQbGBPuTZzBA0+NShz9QAYyekdBZDIZCrmgWNOpFWhVCnQqBVqVHK1ScUrVNvXt3RytaLH/aeVoZYu41+nLcNVF7vDSKsXxKoOnhgC7eryqpYvKFkGV5VD6FtV3uDQbT4Ts6jYe/7F/092hEumvY9GoEOanBGGyWNlRUM/WvMHNj92x4pUdpIb50GmyUNLQ4XaMyhGQ9P3hKr63HxLDfLSijUZDew+5NW0DGu3Pfmoj540P59Z58aLyUa9WctOceC6dEsWb24p4Y2sRRytauejVnSxJC+XSyVG8s6OYlzcVsCIj4r8+3OS3una8uD6Pf9r3zgtSgnj6wnS3fkQymYxl6WEYPNTc8N4+sXg8Jsyb9Ehf8mvbya7qf1SvuMF4wqbYDlJCvJgY40dGtB8BHhrRyPx4lXBtMVttdJrMdPb0Jr4aeyx02pNfO00WOrrNQlGj00S3efgF5oGQywQPV61KQX5tu0uDfzBGh3ozM9HAtLgAQny0eGqUeGtVeGqVQzrQp4b7SCaCukwW8mraya5uJds+SplV1UZjR48YAONuXfb3UAvKIF8dQd4agr21BHtrCPKy/+2txUujxEOjZHq8genxvRYWdW3Ctf5IhbB2nqoC2OlErZCjUclFo3yzxSqOKHaZLCe0HinkMnx0Kry1SgI8NQR5afD3UNPRbaal00R7t5m2LuGP8G/TKfWnO9XEGjw4x57YmxTiRWmDkWfW5lLZ0oVOpWDN72cT6S80PM4F/u8swU6oob2b9Vm1fLKvbMD9zaGyZg6VNbsk3fdlSVooF0yIYE5S4K+iCP6PKXZlZ2djtVp59dVXSUhI4OjRo9xwww10dHTw9NNP/+LPx0enYuGoYH48Wi0xgwchuSHcVycWuwrrOsRil6dGyYNLRoneWrsKG5kWH0BquA/XzIjlTfuBXKmQ88A5o3jIfrub3s/kwxumiAeCJWlhHC5v4bUtwjjS+Gg/EoO9xDGutVk13L5AUL045Jx95a8apYJXrsjg7k8P8e2hSvE5ORPSzyxtYX0Hl7+xW5LEklvTxofXT6WurVssVgE8uy6XfQ8sRCGXid8PwPGqVlbfMl1S7AIk9wV4Y1sRc5ODmJk44i30v8LLmwoGPUBG+euJDvDgWGULF/y7fw+JhaOCSAyWGiQ6ouDHhvvw2PJUbno/U9KlTOwz8rSrsMElKlmr7FVF5de2c9P7+zBZbJyTFkp+jXTDdM+ZyZw7LhwAH3vRubnTvbLLZrNx/5dH2JRTJxlb6ewxY+wW3svO4zoOnGXPfZVd18yI4bj9+W/K6b1vQqD05/Lfym9t/RiM9dm1/OnzQ6JCIynYk5kJgchkQlzzgX5GC1PDvZmRYGDhqGA0SjnZ9qS7groO8mvaBjSRb+s2syWvnuDqNkJ9dQR4qIn005M60wdPrVLc7LV2muk2W7DYoKJJUKgMR+3Ubbay067M+q1hsthENZBzY2a4eGqUGO2Gs0Oh2Wji+yNV7CioJzpA6NRH++sJ89UR4qMl1Ef421ur/EWLCwZPDXOTg0RfT8EPpoO1x2v46Vi1ZOx2uAeL9Agf1Eo5lc2CcbTFblQsHO6GXyD6tSlr7OSt7UW8tb1o8BsPgrHH0m+3/44FiYyP8iUh0JOqli52FjSwo6CeA6XNVLZ0SWwyhoJjLGlSjB+XTI5i8dhQtCoFXloVdy1M4oqp0Ty9JpeP95by3eEqHOeUovoOatu6fxG/lV+T3+La8cneUrHQ9fuFSdyxIGHQ68L0BAPf3D6TOz46wLHKVo5VttLY0cPlU6P505nJHCxr5q/fZ52W5+t4T6/aNbjh9XBRK+X46VX46tR0mS2UN3UO26PIasPF29QZD7WClFBvRoV6kRLibfcG9BrQK/Jk0KoUjI3wYWxE77SNzWajoaPHnijZQUmDsPYWN3RQ2mCkwW6439jRM6C6SqdSEOytwUevxmS2YrJY6bFY6TH3/uk8wULRqcRPr2JClB++ejWeGgVqpRyLVWgEd/QIxaamjh4aOnqob+sesl2CQi4jxFtLmK+WWIMHsQZP4gI97N5u/fs89ofNZhM8v7rMtHWbabcXwRw/U2OPmZzqdvYUNZy0JcSJUFTfwb82uld+dZosXPHmbpQKOUq5DLVSLjZReszC68JkseKlVZ5UiMDj54/lksnuUxl/Kf5jil1nnXUWZ511lvj/uLg4cnJy+Pe//z3ggtPd3U13d29nq7XVfVrbiXDRpEh+PFrtIqX9aE8pqU4jgfm17aLfA8C4SD/x33/64hA/3DELL62KP56RLBa7esxWiSQ1s6SJe1cf4Z8XpouL2p/OTBaLXQ9+dZQDDy4Si12Hy1vYW9zIpBh/UWbvbhRQpZDz3MpxeGqUbs0o+5MYg6Cccf7ej1e2IpPBkyvSaTSaJAaqF726k3eunszfzpOJcaMgjGLNSQpk8wBmqwCXv7mbfQ8slPgzjfDfyf7SJjH5cCAWjgomr6aNc17YNuDt7liQyEdu4q8nx/jzwJJR3PheJtWtXcQZPJidFMg7O4olheEfj1Rxp5PK7KKJEXy6r1wcsWpo7+bad/bS2mVmQpQv/7wwnZQHfxJvf/3MWG6ZGy/+31GUaul0v3g8vz6PT/eVI5fBvy6ZwMPfHKOiubNf7yIHzsb5fceBb54Tz5Vv7gGkh9Lo/xE/vBNdP34NcqrbuOn9fZJCSd9rLQhd3GlxAUxPCGBGvIHoAL3Lgaevn0J7t5kCe4x4Xm07ZU1GIa69uZOatm4sVpvYOR6hf/w91IwJ82Z0mDdJQV4EeWsI8BBGU/z1akkSmDNdJguFdR3k1bZRVN9hTy8TDi/17T1CSpix/1EQvVpBiLeWEB/7H28t/h5qyR8/vZoAT7WoGh8qxh4zDe1CKllDew+VLcK4XlWzoKqqahFSoPp6Sp0oh8pb8NIo8dapSAzypKNHUG6cimSuU4FaIUetlKNRyvHUKvHVqfDRq/FQK2jvNtPaaaLLZMVsFdQEZqvNriqwiWo7vVqBXi2MiYb56oj01xHhpyfCT0eYj46fj1fz4e7SYY3+9B2Tn25vli5JD2NfceOwi10O9hY3sbe4ibs/PcRNc+K4bmYsQV5aAjw1PH7+WC6fGsUDXx3tt9D+38pvbe2w2Wz8c41Q6LprYaLEymGw++lUCv54RjKPfXecwvoOqlq6Tlq1BcL1MCnYE1+dmm6zhW570aTbbKXbbMFmczIqtxvhyx2G+DIZCrkMnUpQqjreN1r7346P69VKfPUq4Y9Oja9ehZ9ejVYll1znrFYbtW3dlNqvq4X1HWzLqz9hnyoQrCuc/cLGhvuQFuFDpL8eL60SL60KL42y999a4d8apQKV3WPwZJHJZKJH7YQoX8xWG91mK10m4edd29rFUbsqK7emjbzadrf+Vp0mizDa/SsnPA5Gk9E0YAFyILy0StESIcpfT5ivlnBfHWG+OsHb6xTa4shkMvRqJXq1kqB+btNiNDEx2o/dRQ3sLmo8IdX56eKXSPqM+4V8uQbiP6bY5Y6Wlhb8/f0HvM3jjz/Oo48+elq+/uzEQEK8tS5Sz4K6DsaE9Ra7+ipCus29F6Cyxk4e+voYz64ch06t4IZZseLY09qsXg8uhVzG6v0VxAR4cIddsaVUyFEr5OJI5O0fHeCyKVFiQuM1b+/l/esmi113tdL9G1whl/H381LpMVv5Yr/gIfHPNbn84Ywkl66dcyx2X1q7zJQ3dRLpr+ffl01gzMM/i58rrOtg+cvbef3KDP66PJUH7JLHc1/azttXTxq02AVw18cHee/aySOmqP/FtHebuevjg0PqzKVH+rDIyWOrP6L9Pdwafz+wZBTXvbuPurZuEoM8+eCGKWLnUWcvZL27o5hHvj0mMav21AjFKg+NkpZOE1e+tYfSRiNR/npev3KiS6Hp/nNGSTY7YrHL6Krs+nRvGc+tEw4zjy1PZeHoYLGAbewRpPzOnJ0awvb8elq7zCgVvV+jyqlYceW0aIK9taJ3nzMpod4uH/tfYbD143Q2Sgai22yh76tfLoOUEG8mRPsyIcqPCVF+botbg+GpUZIe6Ut6pK/L5yxWG3Vt3VTZCxuNHT12JZfgh+FI+WnpNNHWbRIPM45u8Il0glUKGWqFHJO9k9gfMhlolQo09lE9rUqOVqXAR6fCR6fCQ6MU08gcz8JmE/6tUsjQKIVRB7VSLhYx1Eo5rZ0mqlsEZZFz/PxgiZONHT1szasXPfS8tUr8PNT46tX46lSC0kCvth/MVOg1SsnBLcpfT0qIt3io06kVdPZYqGgWPMTKGgXD/Gr776K6tYtmowljj2VQI/hfEoOnWlSiRfrpCfIWmlGdPcIYUmNHD4fLmzlW2ep29Kit2zzsAANHkTcj2o/UcB8CvTS0dwlqwx6LFbPFhtlqpccs/F3Z3El2VRsF9R2UNxpFVe9gOEZaI/yEP+F+OoK9tQR6CWNBQd4avDQDK+1sNhvNRpNY0CxrNPLzsWqyqlrJrWlzq4j01atEbx+VQk5uTZvket6XHQUN7HCTQnwyvLq5kFc3F/L8xeNERXK43fPHudj1wFdHee2KjP/6Uca+DOXscbrWD6ut15rkWGUrb20rIsxXK/rctXWZxTS26tYuyps6qWgyUtHc6dbzbTD8PdSkhvswNc6fBHvYQ6zBw22i4emms8dCQ0c3tW3dHCwTinU1rUIR3nGtrG3tHvT67atXER/oSZivDp19LTFZBCPxoRTFjtjH/YaKWilHY193VE7rj9qp6GIDSaKmsH4J454mi1VS2OoyWX7To3O/Nm1dZrE4qVMp8LQXH700SjztRUi1Qo7KaT+gcfqdOIQhjp+/DcBpf2GzCU3jLpOFti4z1a1CU+i3si47E+mvY1pcAEnBXsQFepAY5EWnySLu2cwWKyb7mmm2CMnNKvvPQKWQia9ZlUKOl1aJn14tigFsNhtHKlpYc6yGbw5VitNsfVn52i6CvDQ8d/E4yejsL8l/bLErPz+fF198cdDOyr333svdd98t/r+1tZXIyFNjqqmQy1iREeFWIvjt4d7u2rFK6UXR+Rollwky8pkJBi7IiCAlpPfw6fBhmBDly3kTInjwq6M8szYXPw81V0yNBkCvUdBjFC7s2/Lr2eb0VNq7zVz51h7Rv0s9QDVbJpPx57NTxGLXvzbmU9Jo5KkVafjqVeLi+vfzxvLF/grWORXinDla0UKkvx4PjZJ1d89h4TObxc81dvRwyeu7eWpFmuQ+7hRl7tiWX89b24u4flbckG4/wn8ej3xzrN8LpjNKuczFS86ZOxYk8sL6PMJ9daiVco5XSTeaf1iUxOVv7Ka1y0xKiBerrp+CwVNDl33kV6uS88RP2aJZ46VTotiRX09xgxGVsndjf83bezhW2UqAh5q3r5lETk0bN6/KlHytvgcBR7Grr0fGT0eruNfuw3XrvHgumyK8xzV2E/kuk8VlRObJFWlMe3wDIJg5Ay6msbfNS8BssboYnkf6uya+/K8wlPXjdDZKBiItwpfvb59Fbk0bOrWCGHsx4XQfLhRymagYGn8C97dYbeKmvMdsFbv3zt383nh7GUqF7DcdPNLWZaK8qZOaVuEAVd0qHKyEP8L/69u7sdmE93Jrl1kMfjgVyGXC70RuVz6cCk+sU43gXdZz0p5lw6Gxo4fvj1Tx/RFhf6RWygn01GDwVOOtU+FtL4B6a1V465T46FTMSwlimVaJViUUFzVKOWaLjSq7eq2iuZOyxk7Km4VCY0uniY4eCzk1bcP27xkuycFejA7zZkyYN5Nj/fHSqjD2mGntNNPaJRSby+zm3HuKTq1/3mDc+fHBAdfZtcdr2FvcxOTYgQs//00M9exxutYPhVzGLfPieW5dHmuPC16Fw7lvTICehCBPEoO8SAgSQkG0KjkbsmvZnl/PvpImibqysaOHLbl1bMmtI8hLQ6S/ngAPNQF2T70AT0FRqlcr7U0FORr7e0yjlGNDUFtZbYjKR6tNWCs6ui0Ye8y9f/dYMHYL19ImY+9YXlNHz/+zd97RUZRvG762J5vee08gBELvvYk0FRVUwIICiqJi7/Vn74pir6iIoihFmvReQgktgYSW3nvZbP3+2N3JTnYD6KcoZK5zOGRn3pmd2ey+k7n3fu6Higb9eYt1CrmMcF83Yvw9iPLX2iIvrP9H+WvP++8eo8nMseJadp+qYPepCnadqjhrd/DWsH8hxL/Qc0Yms/5tKJfLUMhkIvecSiGntslARZ3+Lzcm0SjlBHpqiPJ3J8bfWgoY7a/FU6MUxCK90UxuZQOltU3Wf3VNlNXqKa1r+kuv55+h0WDNfCs9S3bhv4G/h5pBSYEkBXsS6uNOmINb21V5rM5g4lRZPdk2Z352aR0nSuo4U95w1q7LuRWN5FfmEeipIdTHjRBvN4K9NPjZvozzcW/+Yk7rYf3cqhUKQZCVgUNJpomK+jpK65oosf0ddKa8gUP5VeRWnv1vn5LaJqZ8tosFM/v8K4LXvy52PfbYY7z22mtnHZORkUFycrLwOD8/n9GjRzNp0iRmzpx51m01Gg0azT9X+jalTzQfbTrh5ERxdIJkFtYKailYJ36A+CAPJnSN4O0/jvP0ksN0i/Z1+Y1Ek9HMTX1jKK1tYu66LJ5Zchg/rYrxncMx2L4tfWpcB15ekSGo/eM7h1FUrSPtjNWaDq7LGB1xvCdXymUsSy8gr7JBVB5lsliYN7Ub9yzYzxoXF9k/jhYzJtUaHpwY7CnU/9rRG83MWXhA5IhztZ/WePH3DDqG+9AvIeDcgyUuKpamF/BzK92pWnK2m747hsTjZbtYpIR7c+MXu5zG2PMuukf78vktvfC3Bbs22i74jk0WHrysHXcPT6TXS2sB0Ng+R6fK6jmFVbz6bkYf8isbuf3btHOGp9o7IDo6WdZlFHPPD/sxmS1M7BHJQ6PaO22XU9Eg+jZvzf2DhWwgQMgOfOyX5pD8+0YmEeztRn5Vo9M3gR3DfLjY+SevH//kFyXnIsVWIncxoZDLUMgV/8o3/v8EXm4qOoSp6HAW96PRZKbK5qKoarCWIVY16G1BytbH1Q0GGvRGUeCy/WdrGLPr+cJsAbPJAk4+v9ZRK6xNM2QyaDJYS4hcTZV2R51GpRC6Mnq7q1Ar5BhtoqXBZP3W1/7YXnZkv2mS22+g5FZRUym3lnNYS47sJUg2R5vtsZ9WjZ+HmgAP6//+Dt8SO2J3GeZXNZBfpSPfJjqW1llvlsps/9fqjOiNZvJtgtXFiF1Qa9mZ+nzwclM2l7Bqrc7C/KqGv72pxNlwv0g/7//0vcc/ef24b2Q7BiUFselYCZlF1uByg9mC2WzBy00pOF6DvTRE+mmJ8HMXyrhaq/CID/JkxqB4zGYLx0tq2XO6kkN5VUIjiLI6PSW1TWdteHAhUCvkBHlpRKXcjkKB/Yb+7/giRamQ0zHch47h1kxlR3QGE8U1OgqqdIIbuqCqudy7sLrxP9Eh0GIBo8UidDw7mzCilMua52etrSzeQ0WIl5soOzLMx7Ug81cxmy2U1jVRWK2jzDa/W//pbcJY8+ManUF0f/1fJNLPnYQgT+FLjE7hPn/Jie+Im0pBhzBvp79HLBbra5dT3iDkuNlLeIuqdZTUNmG0lfZaP7v/XAlluI8bwzsEc233SFIjfDiQW8Wm46Us3pdPflUj7ioFXpp/5wv2f13sevDBB5k2bdpZx8THNzt5CgoKGDZsGP379+fTTz/9h4/u3IT7ujOmU+hZW6bqTWaOF9cKpY32z6kMmD0skW3ZZew6VcE9P+wXWsN2CPMmw+ZGsZdB3j8yicp6Pd/uPMP9Px7A202FwTaBjUkNQ6NSCB0Rlh8s5NBzo7jxi91CCdeZ8rNbLB0vgp/f0pM5Cw845TM06E1olArmTe3Ow4vSncLkF+/PZ9bQBNqFWN1krb02/58uH5M/28mGh4YS9x+oA5b4ezicX80jP6efdYxaKT+vvJgZA+N5YflRgLN+6zkuNYy3rusiujkvcLhhUshlvHJNKtf1jBLKUVrioVbwzW29ya9s5K7v96E3mRmeHEyD3tjqDYf9jzC9yYzFYmFzVhl3frcPg8nCFV3Cee3azqKLov3C/uzS5uYO1/eMol2IF3VNzSHYXm4qyuqahNIqgNsHW+fOfBcd1C42McUV/+T145/+okTi4kepkAs5Kn8Vsy17xWSxZT6ZLZgszf9bl4HZYkGpkKGUy23/y4RgWaXc6v66VMrJHF2GPWJaH6czmAThq9x2I2RvolDdaBCcUdWN1iywJqMJnaE5S6jJYD5nyZMjaqXcWoqqUmDB4pSjKJOBSi4XnHhuaoXgIrE/n935qBOyjMQOPrv7wtvWEczb5lLz06qI8tcKmV/ncqhYLBaqGw2U1DYJ7sTiWh3VDQZqHDqJ1emMmCzN5TpGk5mqBgMV9XrRjXGQl/U9bjJbUCvkJAZ7MqlnpChE+2Lin773+KevHz1irN0N/27kchnJod62KpPmD191o4HTZfXkVzVaw9Dr9JTXNwk/62zvb53wPrf+L3MUyAWhHFRKOVq1Eg+1Aq1GiadGITz20CiF/EF/T6uQ628TyD3Ufy6L8J/CTaWwlXC3fh9iDy+vqNcLnylrqbzVSdX8xYexxZcgJusXFbZ53/rP7pCzXx+s84bK5pBWKazXBZVcjkppvU6oFHI8NdbX09PWhdHD9lrbf/Z2UwlfPlzoBih25HKZrXPkuZtdmM0W6vTWzERH92uNrnk+09sc5k22sk/HElCDw3zveK72n5RymdX9q5Lbuhw3dzq2z8v+ti9t/LQq/D3UeLup/rV4HZlMZi2r93KjZ6yzw9ZstlBW30RxtdWNXlSjo7S2yRZPoRd9WdegN4maFdhNBQq5zFbeKUOjUlhdYrZun6E+bnQK96FzlI/QiM9Oz1h/esb68+Co9pjMFiwWy9+al/Zn+NfFrqCgIIKCgs5rbH5+PsOGDaNHjx589dVXyOX/jRKI6QPjzip2gTVg3i52mW13r/Zgxndv6MrY97YIHVIAOoR60T3aV8jf2ny8lMHtgnj+yo5UNuhZfrCQO77dK9z8y4Cb+sbw1ppjwk35/pwq5t/amy7/WwNYhahb+se6zGsB0Drc9HeO9OXXu/pz29d7RAF2VbbcH5VCztvXdUWrUbJgl7gMcdLHO/hyWk96xPjTNcqX5QcL6RrlS32TkawSccjyX+XWr3azZPZAfLRtswzrUqK0tonb56ed06LuoVacU+zqEuVLkJem1TJbO7OGJPDI5e1FF6gjBdWiQMzPb+nJMFsXsop6vTDxz13fXCv85bRe5Fc2MmfhfoxmC2M6hfLeDd24yYWbzI7jN46bs8q4fX4aepOZ0R1Defu6LufVqvq6XtZviGt11s+69QIt58nfxN2UtGrrFO/q9fgn/lC+0FwK1w+Jto1cLnPpbpI4N24qhU38+euNNuxio8FsxnHmbXkj5KZSnNfcfL5YHP4O/CeQyWS28hS18OWjRDPStePP4eOuajXvUcI1juHlkRf/n1v/CeRymbVE3U0F0mt6TuTyZjEslT/3xYRdXP07BCrrtfPfE6kvmhk7Pz+foUOHEh0dzZtvvklpaSlFRUUUFRX924dGt2g/ukf7Co9HJDv3ZHDMWrDf7BptCnOYjzsfTOmO499RKoVcyOwBuP/HAxRWNyKXy3j7uq4MaRck+tbNaAs6fXFCJ2HZHd/u5XhJLeM6hwnLpny2k+0nmp0fjigVcqHEqr7JSHyQJ7/eNUA05uUVmUIZplwu4yWH57NT3Whg6ue7WJ9ZLHQDK6xuZOHtfVstCTlbnpgrTpc3cNeCvSKVXuLio8loYtZ3e8+r+1trjREcGZUSwo4T5S670Djy2JhkkdC15EA+1360XXj84GXtBKELIM+FMyrcx42C6kbu+WEfRrOFCV3DeX9yN9RKObqziHKO7/VbvtxNk9HMiORg5k7u5tJ637LBBUCw7Vv2GltHRy83JSW1TSze11wK88Bl7YSf7V1b7SjlMro5zFmXOv/l64eEhMS/h11s9HZT2TqpWf952twQdkfE3yl0gfVG+L/gUJE4O9K1Q0JCoi0it7nHLwUumrP4448/yM7OZt26dURGRhIWFib8+y8we1ii8LOrzJLdpyqEb/LsGQeOYtWAxEAeG9OcDbD7dAXe7s3Gu/J6PTPnp9GoN6FWyvnkph4Madf8rdSGY1ZHSpBDOUWjwcStX+2h2EFIqNebmPbVnlbLuzxsThC7WODnoearab1EY277Zg+VtlBBmUzG3MnOccY6g5kZ36Sx82Q5chkU1zRhMFn4YWYfOruwvetNZlIj/pzqvC27nGeWHBF1MJG4eLBYLDz16+G/HG6sUcp5+epUp31O/myn8HhC13Cn7Z67IkX42Wgy88Lyo8xZeEDkLBuYJA5QzCh0FpwqGwzc/2M6Zou1rPCt67oKFwbdWcS2lpkZQ9sHMW9qd5dZGutacajZy6ZqbM4ub3cV13y4XTTG/nnKdRH43zHCR3B9tQX+69cPCQkJCYn/HtK1Q0JCQuLi5qIRu6ZNm4bFYnH577/AcAc31++HCrlzaIJofUltk9CpyV6y0NjihnimQ5fBU2X1gmsDrC3jD+fX8PDP6VgsFtxUCj69uYew/tmlR9h0vJRAm+NDpZDRN96fuiYjaTYxYWqfaC5LCUFvNDPru7384iIMXKuxHlu9vvm5W7qxNh4rZdzcLezPse63YyvZP2YLvP3HcSFTKD2vCl+tmu9m9KFXrLP/9M+08rXzw+4cvtx2+k9vJ/Hv88XWUyw6z0D6lsQGaPn1rgH4e4jLWN9cc1z0uGWmHECy7f1cUqvjpi9288VWaxj9XUMThG/vgx2yAyrq9Ty2+JDwOMAeZm8Tq6f1j+WVa1JF3/xXNLTeYebnvbnCz/3iA/j0pp4uBfKs4lqmf5MmPL5/pNWpFeSlEeYQe4eZ4hqdU0CzPZPrvXVZwrIwH+t59Xbx+buU+a9fPyQkJCQk/ntI1w4JCQmJi5uLRuz6ryOTyXhzUhfhcfdo55vJrdnW8kG7s6tlRpFMJuPhy5u7sN3zwz7h51evTUUpl7H8YCEf2DKDNEqFcOMNMPObNKFc0mCy8NHUHqJcnqySOj6a2p1rukdgMlt4cFE6b685JpQlgoOzq6lZiAvxFodsxgV6UFCt47pPdvD1tlPEBngIneDOxq+2EitvNxXfTu/D1d0izrnN+fDC8qOs/RMdHSX+fTYdL+XF3zPOPdAFY1NDWXbPQFLCvYVMOzutVYU8M77ZzdUh1Js/jhYz+t0t7DhZjlat4KOp3Zk5KF7oHBroaf1cFVY3ct0nO4Rt+8b7U+7QKvnJsR149ooUp3DK1tocf77lJI/+0iycfdiKo6uoWsdl72wWLTOarfNFjL9WNA6c55IADzXBXhqyimtFHS4LbeMHJp1fVomEhISEhISEhISEhMTFiCR2/Y1c271ZvJn9/T4n99KiNKujwy526U1mIbfLjrdbc2nRidLm7ontQrx4wZaP9dYfx1l5yBqIb2//GuKtQW8y87iDA6XRYOKrW5tLEHefquBYcS1vTuzCHUOsLrK567O5+4d9gsvM07Y/e3kUOAeoLr17AGNTQzGYLDy37Ch3fLtX6NRzNlYdKWK7TfBzUyl4+7ouzBgYd46tzo+7FuxjW7brLDKJ/xZHC2q45cvdf2nbp8Z1YN6U7ni5qcgpbxB1HlQr5Tw0qr3TNnIZRNkEIn8PNa+tzmTm/DQq6vUkh3qxZPYAxqSGCS21fbUqNEoFh/KqmTBvG9kOTRUcOyxO6x/LzMHx55W7YjSZeW7pESeBT6NynoILqxvp+8o6p+VldVaRzbH7T3GtOOvM7tzqGuWLTCbjrRZON7DOP33inLu2SEhISEhISEhISEhIXCpIYtffiEwmY5At60dvMjO5d7RofXpeNTqDCW93leBAaRm6bc/8ifB1x8PBLVVUrWNy72im9Y8FYM6PB9h5slwQu165JpWb+op7dBfV6PB2U/GgQ1D1DZ/uZH9uJY+P6cDrEzujUshYcaiI6z7ZQVG1TsgCKqsTO1N6O9wce2qUzJvSnWfGp6BSyFibUSyUaNp54LJ2om3sTPl8F59sOoHZbEEmk/GUg+Pm/4PeaM0Ic2wEIPHf40RpHWPnbvlL245KCWHGIKu4pDOYGPzGBtH6ST0ieWP1MeHxdT0jAWuHxrxK6/uzol4vdA+dOSiOJXcPIMnWqarEJhwFe2lYdbiQSZ9sp7imiaRgT5fHc+uA2HMes4+7iromIzPnp/H19tMAohJnZYuuTgVVjfR7Zb3weEqf5jnE/pmMCWh2dmUU1oq272JrCNEz1p8DuVWsOuIcojsgMcBl2aSEhISEhISEhISEhMSlgiR2/c08e0VH4ecf9+Q6rZ/13V4Uchl+WmuZVHm9WFSyi1dR/u7Mm9pdWP7AT9asrqfHpzDKlrs1c34aRdXWnJ5anZH/XdVRVAY56eMd6I1mYgObnSC1OiM3fr6bLVmlXNcziu9n9MVPq+JQfjVXzdtKYY31hr+kRnxco1JChJ9LapuQyWTcNjCOpXcPJDnUua310YIavp3em0k9Ip3WvbIykxu/2EWBLWPoQ4fz/P9gDeTfzb6cvxZ4LvHPcqqsnhFvbfrL279yjTWMfl9OJaNalPgBopLGXrF+5FZY318jO4Tw/LKjwrpQbze+n9GHJ8eloFE2iz728ceL65j13T50BjOD2wU5idZ2zsfNqJDLmPjRdjYcK0WjlPPh1O5Md3AzqhTNrrCCqkb6v9osdA1tHyRyqpXYPpuOYtfm46XCzzsfH0HaGavY2yPGj/8tO+LymIa2d+4WKyEhISEhISEhISEhcSkhiV1/M4kOLpBdpyqEkkU7G4+Vcji/WsjaKq8TB1n7uFsDt6sbjaKb0rK6Jj7ceAKF3Nr9sHesP7U6o+AMq9EZkclkoq6QJrOFqZ/vxGwL0ozyd2dIuyAaDSamf53GqsNF9I7zZ8nsgSQFe1Jc00R6bhXQ7HKx45j95eji6hDmzZK7BzC1j1gQWHWkCIsFXp/YmdeuFXfMA9h+opzR725myYF8hicHC+f9/6Veb+KWL3dzKO/Ph91L/HNsySpl2Jsb//R29jyra7tH4qFR8sqKDCZ+tJ0cFx0GHd9DPWL82XWqHICPN50QlvtpVay6bxADEgOdtj9WJO64OLVPNO2CPfnf8mah7NvpvQGr0NVaN8Pqxma3ZkW9nsyiWgI9Nfx4Rz/GpoZhNFk/j0p5c+v5U2X1DHitWehKCvbk85t7CtlfPu4qsmzllCm2gP131zaXKKZG+NBoMFFWp0etlHOytI59OVVo1QqhNBmsmWaXOQjXEhISEhISEhISEhISlyKS2PUPMHtYc5mSvWObI3d+v1coV2xZLmi/Ya+x3TDfM7xZvHpj9TG+3nYKN5WCz27pSfuQZkfVCYdcoQccyhb3nK5kzsID1mPRm/ns5p6MTQ1FbzJz1/d7mb/jNNEBWn65q7/IvfVTWp4ot8uxI2PLbCyNUsFLVzsLWgNfW09lg4Hre0Xzv6s6Oq2v0RmZs/AAD/98kDGdQp3W/1VqdUZu+HQHRwtqzj1Y4h/FYrHw3NIj3PSFOKNroAuxyZH2IV6sum+Q0PGoS5QP4+Zu4ZPNJzG7aIJ0WUoIK+YMEsTlgqpGYVytrrmz6PbHRuCrVTttn1vRwDc7zgiP7xuZRE5FA5/bOjWCtXNilU1cjnVwV7XkdFm96HH7EC9+m92frlG+ANQ1Wfdhd3Eeyqtm2JsbsTd38tWq+HX2AJQKOcU2N1eT0USD3oRaKScu0IPMohreXdvcZfG7GX2EBhhJwZ689YdVCLuxbwx1Tc3n3yfOnxCHTpMSEhISEhISEhISEhKXIpLY9Q9wri6DuRWNZBRahZiWXduanV3WG+JQH/GN6XPLjvJTWi4+7iq+ua23sPzr7acFN5a9zCnIS0N8UHMJY1ldEyqFjLk3dOOGXlGYLfDMkiM8v+wIHmoln9zUQ8gcAxg/d6vgkHLM+FmWXuDyvOx5Ys3Pp2f4WxtZuDuH63tFtfp6LEsvYKGLks//D/V6E2PnbuF4ce25B0v8I9ToDLR/apWQVWXnmfEpgjDjigcva8fq+wezKC0Pg80F9dzSI5worXdySgI8MTaZT2/qQUFVoyAuL3XxHu0W7Yu7i66ha48WM/79rcLj7tG+LErLY0tWGe4qhZBjlxLuzZlyq5AV7e/htB+ABr2Rqz/cJlr28539iPRrFseqG63ik7e7kq1ZZVzxQfNzu6sUrJozWHBj2UPz7d0W24d40WQ0M/pdce6Zj7tKKGk8UlBDaW0TMQFawQVm54ou4S6PW0JCQkJCQkJCQkJC4lJCErv+ARKDvegS6XNeY3NblGPZxa66JiMGk5k4W+e1uEAPoXPho78c5Mc9OYT6uDG5d7OINOWzXZTWNgmd55RyGb/NHiBy0Tz880HMFmv+kT3f66ttp7nj2zQa9CYeHZ0sjM2paODaj7bzxdZTmB3sNCdbOFfsuOrwVtVg4LHFh5j86U4i/dwBa+dIe3na2XAU6v4qo97ZzAFbaabEhWPP6Qo6P7cGfYtuo5/f3FNUFtiSp8encM+IJEpqdHzh4Kqyv/2MZvH++sUHcPvgBGQymZOoBvDGxM7CZ6R3rPj9aTCZeWVFBjPmp4lKD/flVJFf1UhMgJbFd/UnMdj6PkwO9eK0rYTXlbPrZGkdE+ZtEznPHr68PV5u4hJdu2szt6KRG7/YJSz31ChZc/9gkcDdspw4OdSLqZ/vEi3rFeuH3mgWOp3aefaKFKGUE6z5YWM6hTkdt4SEhISEhISEhISExKWGJHb9Q1zT3TmY3RWOpVMAvu4qIbS6pLaJOJvgk1vRwCOjk7m5XwwWCzz6yyHm7zgt6niYXVLHlM92CoJZYbX1RtnRAfbz3jwmfWzNPJo9LJEPpnRDrZSzNqOE6z7ZgULeHJg9KCkQvcnMC8uPcsNnO0Vlk65w1X1xeHIwHmoF+3KqyKu0BoDLZTKWzB5Ax3Bvp/GO5FU20i7EdSe8USkhhHifOyAcYMK8baxx0ZVO4u/HaDLz8ooMJn28w2ndT3f0Y8b8tFa3HZ4czPSBcZwqq6f3y+tcjrE7vew8Mro9ZXVNPLvkML8fLBSt6xThzaSeUew5bW1Y0NNB7CqoamTypzv5ZPNJAKf32TXdIvj93kG0D/ESymE7hDU7u2Icmj5YLBYWpeVyxftbOV5cJ9qPv4dzyaSjsGbHS6Pkt9kDBKHaTmGVWOz6I6PYSbxNDPZi75lK6vXNJdNXdglnWPtgNh9vFsCGtQ9yeTwSEhISEhISEhISEhKXGpLY9Q9xRZdw1Irze3kdb17lcpng7CisaiTEyw13lQKj2UJ+VSPPX9lR6Ob2zJIjLE+33uAr5DJCvd3IKqnj9vlp2HKvySysRSGXiZxm6XnVjJu7ld/25zO+czgLb+9LgIeaIwU1omylx8d04MUJndCqFew+VcExh5LAeoccIDsBnhrheezPH+7rxtoHhzAutdlRUlit45vtp1k0qx8PXNZO1JHOEb3R7CQe2FlztJj3bujGfSOTXK5vye3f7uWl31t3FEn8/9mfU0nikyv51CYgOfLxjd257hNnAcyRtyZ14ZWVGa0G2Xu5iQPh24d4sS27jKFvbHQSjcEaal9e10S2Lc+uZ4yfIExd/u5m0s5U4qVRclXXcNH77J3ru/D29V3x1CjJKqmjRmfEXaWgfagXJ0utYpfd2VVZr+fO7/bx8M8Hqdeb6B3nLzgYAaHrqp1GvYn7fjwgWuapUbLwjr6i5hZ2TpeLXZT2zDBAeJ6O4d6szyx2eE4Vz16RwqmyevJtHU8BpvRx3VVSQkJCQkJCQkJCQkLiUkMSu/4h/D3UjO98fiVDt329hxyHDodh3tab2IJqHXK5jFibi+RkaR0ymYynxnXgrqHWEPx1mSUAqBVyfri9L2E+bpworRfCru3ZYJE2x8j0gXH0jvWnrsnIfT8e4MGf0m0B2gNIDvUSBeafLq/nxr4xrL5vMP3iA0TH/N66LFwxooM15F5lE/pWHS4m0FPDvKndRQ6zhXusgkNMgJYlswfSKeLsLi+wCoiO7rEbPt2JSiFnyyPDzrktwGdbThH/+O/oXDQNkPjrVDcYeHhROld/uN1pXYCHmjGdQpn13b6z7uOR0e0Z9e5mPtnkLJTJZVah5rvpfUTLjxXX8uaa46IAdj+t1dWoVsqZ0DWCTbYcq5Qwb/QmM9O/SePhnw9SqzMS6edObKAHSw4053v1ifPn6m7Nrsy0MxUAdI3ypbJeT3m9HrkMkoK92HS8lMvf3cyqI0Uo5TIeGd2e72f0obK+ucOqo5OqqFrH9Z+KBT8/rYqFt/elY7jrsudTrZQMv3R1JxptTq6O4d58tqW55PO5KzsS4Knhj6PNAliYjxtD2gU77UdCQkJCQkJCQkJCQuJSRBK7/kFutgW2n8vhVVGvZ9rXu6lqsN4kh/k2O7ugObsqy+ZQkclkPHx5e+4f2dx1sdFgwsddxc939hdlXdmD36NsAdkms4UFM/swZ0QSchn8si+P0e9tJreygV/vGsA1DuH6d32/jxqdgSh/Ld/P6CPqqPjp5pN8uDGbJqNYOBqebL2htlgseGqUlNU1sfGYVXAY0i6It6/rIozNrWi0dWNM58HL2vOgQxdJVyxLL+CxMckil9obq48x/Zs9IiHtbJgtkPz0KnadLD/3YImzYrFY+HV/Hl3+t4ZFe/Ncjimv17PysLiE1EujdBr3+qpjTs0awJrJtfyeQbx8dSoLduU4rY/0c+e9G7oKYmmlzfk0LjUMPw81621icHWjgcve3sT6zBLUCjnJoV5UNxo4lF8tKt1tGeC+11YC2SvWj6M24TjE241XV2Zwy5e7KaltIiHIg99mD+CuoYnkVzaKygnt4tuuk+Vc+cFWDtoaPthZeHs/OkW4Frp0BpPImWVnVEoII5JDKK/Xo5DLRGWRg9sFcaXtHFY4vO7X94oSnaeEhISEhISEhISEhMSljCR2/YN0jfKlS6QPepOZCV3P3gXtZGk9077aQ12TkXBfq7PLfqNr76h2xJYdBFbBa87IJJEAdcX7W/HXqvl5Vn9hWUZhDZuPlxLlb91nbkUDSoWc+y9rx4KZfQn3cSO3opEpn+3ihd+P8vxVHQnyas7CuuqDbRwpqEYul3Fzv1jRMb++6hij393CxmMlwrKO4d6EerthMFkIs5Vj/ujQafHyjqG4qaxvu9EdQ/HSKDlSUMOtX+9h56lynr+yI2fjmg+3MygpSLTseHEdt3y522UZWGtc/+lOHl6UTq3OOT9J4tycKK3j+k93cv+P6X9qu2n9Y7mlRdfO1lgwsw8LZvYhNlDLKysz+DFN3LHzqXEdWPfgEHrG+nM4v0a0bkqfaIwmM8ttOV75VY3U6IwEeWkI8dGQWVRLrc5IhzBvfrtrgJBz1yXSV7SfPTZnV49Yf0HsKqzWCWWTt/SLYfk9gwTByj7GTrC3Gx9uzGbyZzuFzop27hqaQPvQ1nPwcioaBIemHR93FW9M7EJ6XhUACUEeTPtqj7D+3eu7IpPJyK9qJN2hPHpyb6mEUUJCQkJCQkJCQkKi7SCJXf8w0wbEArC1Rac0R8Z3DsNXq+JAbhXTv94jiEQnSq1OLvuN9JGCaqdtHQWo/KpGJn+2E4vFwvJ7BjaP+XI3W2xB1Y4ZQH3jA1h9/2Cm2rJ8FuzKYdQ7m0XdG0+V1TNh3jY+2ngCk9nCPcMThXUqhYxTZVaRbsY3aeSUNyCTyRjeweruCvC0lnBtOFZCSY01aNtDo2REsrXUMSZAy6ZHhjF9YBxqhZxt2eU8u/QIcYFn78L4wYZsl8vt2Ux2hrQLcjnOzqK9eaQ+t4a1DuVeEmenRmfgjdWZjHhrE7tPVfypbR+8rB3uakWrvz9HFszoQ8cwH95fn83A1zY4lTemPTWSGYPi0SgVrG7hHEsK9iQ1wofbvhGH4Qd7aajTGcmtaEStkPPgZe1YevcAvNyUVDcaUCvkIvGpuEZHbkUjcpnVQfb6qmPCuih/d+bf1pvnr+qEu1ohLG/5Gb1v4X5eX3VM1KHRTr+EAOeFDuxy8fp+cUtPfLQq9tjWVTiUTE7uHS2UTa5yeE0m9YgkxNsNCQkJCQkJCQkJCQmJtoIkdv3DjO8cTqSfO2V1elH5nSNGk4X5t/XGS6Nk16kK3lhtvam2izf2roWnyupdBsNf69D58UBuFVfN24ZCLsPToVxsla0b4YnSelFmlZebipeuTuWHmX2J9tdSWK3j1/35wvpRKSEYTBZeW5XJ5E93itxTL01IZeagOJRyGWszihn5zibeWJ1Jb1vXuzPlDXSL9sVktrDYYZ/2LLPfDuTj7abk6fEprHtwCDf1jUGjlLeaU3QuRncMFT3edLyUJ8d2OOd2M+anEfvY7xzOdxYTJaw06k18vOkE3f/3B/M2nPjT20f7a/lmx2k+2uh622Htg4QA+rhAD9ZmlND/1XW8/cdxkaAD8NwVKQR6NrsPlx0sEK0P9XFj1Dub2WzL67JTUttEo8FE1yhffr93IPeMSEKlkAsuqQ7h3qiVzVPiTlupq9li7ehpp0OYN2vuG8JgF2Lq0QKxs2vDMfEx9Ir1E362i9quqG408PRvh0XLnhmfInSU3HPaKnaV1elF6+2888dx4eeZg+NbfR4JCQkJCQkJCQkJCYlLEUns+odRKeTcMcQaJn+mogGli9ycVUeK6Bzpy1e39sJdpaBWZxW0imuaqNEZCPTUEOrthsXSHDjviD2jq3OkDzEBWvIqG7n2o+1CcHeAh1rojgiw90yl0z76JQSw6r5BQqdHOyHebrw4oRMeagW7T1dwv0MnueWHCnlyXAqr7hvEwMRA9EYz8zac4NFfDgLWcq8kmzj2055cLLaarOEdggnwUFNc08TaDGsJZJS/lhcmdGLro8OF8P1z4ShM2F/HF67qyIDEZsfMSysyGNwuyKUw0ZLx728l9rHfOZQniV529EYz83ecZtDrG3h1ZSZGVxal8yCnokEkzIA1y+7qbhEsvXsA13SPFN73p8rq+XLbKer1JpJblPkFe2m4waEkL7uklv05VaIxW7LKyKlooCW+WhUvXNWRX+7sT1JI837tOVotxehXV2YKP9uPDWD+bb1Fbi47FouFNBefLTtXdAnn4xt7CI9bc1tVNei58fNdTstvtblEG/RG0lu8Ryf1iBSO6WhBjfDZ7xrlS7uQ1kslJSQkJCQkJCQkJCQkLkUksesCMKlHJEFeGqoaWs+H2ppVRs9Yfz6/padIxLG7jeyljAcccnjsJNjELhmwZPYABiQG0OAQkt0z1k90kz31810uRTOt2uqyWnr3AGHZtzvP8MXWUzwyOpkeMX6icqzNx0sxmswkBnvx7fTefHJTD9qFeNJkNAtjfkrLQymXcbKsnj22sG+NUsGknlEAfL/rjOgYgrw0PDI6mYPPjWr1tbKjN5rxaCE6PL3kCHVNJq5yyEjbfLyUzcdLXQqNrrjiA6vo9dOeXPQO59KWMJkt/Lw3j+FvbeSZJUdEXTr/Dh4fk8zOJ0Ywe1gCP+7J5Z4f9gvrFHIZl6WE8PWtvbhvpLhpwV1DE3BTNf/OF6W5DsZvyc39Ytj40FBu6hfrFNRuL8fsHm11XZ0qq2fGN3sorNYJY4a1t4ql0f5aUaadI6sOF4lEsZbH/d71XYUcvkBPNV5uKqdxlfV6pny2i0MtXIZPjeuAzKZY7ztT5bTd5D7NAuAbq5tFumeuSHEaKyEhISEhISEhISEhcakjiV0XADeVgjtspUStOWNu/GIXOoOJAYmBfDWtl7B8yme7qNEZhPInVzlJCUFW99SJ0nq83VR8c2tvwQUCsPpIMX3i/OkX3+x4mjBvGz/uyRHcVo50jvQVlUaeKqvn2aVH8NAohU5vdu74di9GkxmZTMblHUNZOWcw717fVTTGfs4fbmzOapraJxqZzOrCcVW26O2mYs+TI0WONFc4dr6zk55bxZIDBbTUtv6sK+mRXw7S7qmVPL74IIfyql2+VpcaBpOZJQfyufzdzTy0KJ28SudugP9fdjw+HI1Szu3z0xj59ma+d+iyOGtIAtseHc5nN/ekf0Igr67MENaFeItdXUXVOj7ZLM7ycsXKOYP431Wd8NWqndZVNeg5bMvZ6hjuzQvLjzLqnU2C4xBg9xMjBLG5p0MZoh2jycxHG09w5/f7nNZplHLenNSFR0YnI5fLOFlqfa/HBzk3Uyira2LyZzudQu7B2tjBzk1fil1fCUEedIvyBaDJaBJKJ+WyZgFPQkJCQkJCQkJCQkKiLSGJXReIG/vGEGHrsmjHXSV2Jb22yurIGJAYSO84f2H51M92CVlZaWcqnUSX2EAP1Eo5dU1GcmzdFp+9oiMvTOgkjOn6vz+IC2oOfm8ymnn0l0M8+FM6DXpnN0qnCGtOWJ84f+4YHI9KIWPz8VKnfKR1mSVcNW8bB225Rwq5jAndIsh8YbTTPjceK+W+hfspq2siyl8rBMj/sDvHaSxYXV4zbGWV7UI8ee3aVJfjXCGX4TIU/K/ww+5crvhgK3GPr+CjjSc4UVp3yQlflfV65m3IZtBrG5iz8IBT2P/fRZdIH/q9sp7nlh11Kvl79/quPDYmmVBbltX8Hac5Xd5cjnjP8CTcVAoq6/W8ujKTvq+sO+fzvT6xMx1s3UxdseNEudDx8JoPt/PF1lMYTM2/28s7hhDs7SZkZPWK9Rdtn55bxZUfbBM+uy355c7+TOzRLBzbm04ktBC7csobmPjRdjKLap320THcmyh/LQCrDhc6dWic3DtacH29vaY5q+u32QOQkJCQkJCQkJCQkJBoi0hi1wXCTaXggcvEJVkeDgHyAF9tO82KQ4UA3DagOTvrUH41zyw5Ali7r9lvmO2oFHI62LKNDjt0g7upb4wQ+g3WbosAWrWCh0a1Qy6DxfvzufKDbWQWid0kdifLmfIGHh/bgVX3DWZcapjTjTbAkYIaJszbxjNLDgth4m4qBdP6xzqN/e1AAf1fXc/jiw8KTrNFabmi0HxHZg9LxMddxfHiOoxmC/+7qqPLcS0xW6xB4j1i/l5ny2urrJ0I4x5fwaxv97I1q+yiLnU8XlzL44sP0feVdbyx+hhFNbpzb3QeOHb0dMSeNdUzxo+nx6cIv5/esf6i0tOiah3vrc0SHrcP8WJgYiAvLj/KoNc38PEm10H3YT5uwvtOrZCLHFEtqdEZRG6s2iYjyaFefH1rL7pF+wIwrH0wBpNZKB+2OyxrdQaeW3qECR9u42hhjcsS2T/uHyx8juw0i13NwvPh/Gqu+WibSNhzZEwn6zmk51Yx6zuxe0yrVnBdL2tJsMViETndOkf6tnruEhISEhISEhISEhISlzKS2HUBmdAtQhS4XVbXxKiUENGYu77fx4nSOrraypLAmu9jz/oB2OWilNF+U304Xyxa3TU00Wlsg95E50hffpjZl2AvDdkldVz5/jY+2ngCk80OlRLmjVwGRTU6CqoaSQjyZN7U7iy/ZyDDk4Od9mm2wPwdZxhiEyJ0hubcLHeVgk9uas4M0xvN/LA7l1dsAeCVDQaWHihw2ieAr1bNfSOTAKtr5aquES7D5v20zvlHGYU17D1TyWUpIUT5uzut//+y6kgRN36xi3ZPrST2sd95+4/jlNT+PWLRP4nZbGFDZgmTPt7OqHc288PuHFHO2v8XT42SrdllTst7x/rz3BUp7Hx8BD/f2Z8Qbw17z1SikMt47sqOgjvJYrHw1G+HqHXoPFpQ1cjwtzby+dZTQvh6S569IoUNDw1Fa8txG9o+CB935/dFdYOB99dlMei1DaLl86Z0Z8W9g0gO9RbEraHtgzlSUIPOYMZPqyI+0JOVhwq57O3NfL39NBYLxARonUpkvd2Uos6ldk6UWMsY7c6uLVmlXP/JDqfwfkdGdwojt6KB6d+kOa2b2CMSb1v218srmks+l0iuLgkJCQkJCQkJCQmJNowkdl1AFHIZT47rIFp20kVe1Yi3NuHtriTYFoT9wlWdRJ3invz1sNM2zWKXONh6cDurw8ZdpeCZ8c1h1Td/uZuKej0r5gxiZIcQ9CYzr63KZOLH2zlZWoeHRins017CZX+eL6f1ol2I8408WN0xr660up9yKhqICdDSaDBR3WAQSiMHtwvispQQUR7XI78c5MXlR8kqdi7jurFvDPGBHpTX6/lo4wnemNhZJGJo1QoW3zWA+bf15npb8L0jfxwtJrfi78+easncdVn0fmkdsY/9TuxjvzPr271sOFYiCIj/NhmFNdzw6Q7in1jBrV/vERoG/N20FKOSQ73Y/cQIfprVj2kD4gj1caO0tomnf7O+j2cPSyQlvLnUcNnBQlFmFljfV2d7GT+7uSe3DohDo5QLpbZXdhXny50pr+e5pUfo9+o63vrjONWNzQ0j0p8ZxbjOYcjlMn4/ZC0V7BnjR6iPG9tswp1WrWTyZzu58/t9FNXoiPB1p2eMn8tcsw5h3oJ4Z0dnMJFtc3a1D/Xi251nuPWrPU65czMcOqKGervh7aZk6ue7XDYJuLlfLGDN6vpsyylheRcHsVxCQkJCQkJCQkJCQqKtIYldF5hBSUGMTW0urWotG2n83K1CKdXJsnoW3t6PEO/mLnAvr8gQiSidwq3C1KH8aswOyzuEehPoqaHRYCI51Ev03Hd+v48Xlh/lzUmdeWNiZ7w0SvbnVDF27ha+2nZKKDFz5SS7e3jSWc8zv6qROQsPcMZWmvXdrjPMHGQN6T9aUM37k7ux7oEhInHq862nuOydzVz94TZ+2J1Djc4qRqgUcp4YaxUJv9x6Cr3RzGvXdha2a9CbePLXQwxKCuS1iZ05/uKYsx6bI1P7RDOhaziBnq477P1/WHWkiFu/2kPCEysEAWzaV7v5/WAhJbU60e/p70ZvNHOkoJp5G7KF5x7z3hZ2nnT+Xf6T3D0skVX3DSbY201YZrFYePLXQ1Q2GEgJ8+buYYnC8k3HS7nXoTPj+dAl0oeRHaxuw305VeRWNOKhVjAiOQSLxcLuUxXcPj+NoW9u5Ovtp2nQWz8L9pLE7tG++Dg4A5fbxLLxncMA+HmvteNjflUju05VoFbKGZEcjIdGQdqZSpdiZnsHB6edjMIaTGYL3m5K3l+fxdO/HXZyhN07IklU+ji+cxg3frGLnIoGvN3EZc/Dk4MF99iDP6ULyyVXl4SEhISEhISEhIREW0d57iESfzdPjUthQ2Ypja3kVIFV4LK7vrZllzF7WCJbHx1O0pMrAfh080kyCmuYe0M3/DzUtA/1wl2loLrRQHZpHe1CrDfbcrmMwUmBLN6fz4ZjJUztE8OKQ0XWdTJYcqCAnSfLefnqVFbdP5hHfk5nW3Y5zy87KhzLHhdi15AkcSnho6OTySqpZemBApddDw/mVZNdUkeErzv5VY18t/MMMwbF89rEzni7KwVXikIuY39OFftzqnh2yRH6JwZwecdQRnYIYUBiANuyy3l1VSbzpnTnjiHxfLLJmlG0/UQ53+/K4ca+MaiVcrJfGkOi7bU6G46dADtFeJMU7MWv+/PPud1fZeOxUjbauuW1pEuUL33j/UkM8iTY2w0vNyVqhRw3lRyNUoFGaftfJUetkCOXy6hrMnKqtJ6sklr251Sx90yly25+/zQDEgM4U94gcjlN7BHJg6PaOY397UA+a44Wo1LIeOu6LpTXN/Hb/gIW78sj6xzB+D1i/PDTqlmbUSwse/jyZMFFtdDW7GBgUiBLDuSzYHcOB/Oa3Y7D2gcxfWA8AxIDuOmL3YC402FeZQP7c6qQyWBI+2BeXpEh6hY6KiUEjUrBikOFgnD1/FUd+d+yo1Q2GITGCB3DnUPxD9lclzU6Iz/szkUmg2h/rSAITx8Yx/0jk7j6w+3CNkvTCyipbSLEW8N1PaN4f31zR9PZNpHwRGkdyw8WCsslV5eEhISEhISEhISERFtHErv+BcJ93bl3RFKrHdxaknamEp3BhJtKwVVdw1liy7faklXG+Pe38slNPegU4UP3GF+2ZZez61SFIHYBjEwJYfH+fFYdKeK+ke1QymUYzRbevaEb7/5xnJNl9Uz/Jo3RHUN5Y2IX1mUU89qqY0I5WlZJHWfK64kJaA7V9tGq6B3nz26bEHakoJoPpnTn4cvb8/W20yzYlSPKXAJEN+rzNmQzuXc0HholdwxJ4NudZ9AZzLw1qQsltToWpVmFD7s49ITsEB5q69v194OFTOldxsOj2nMor5rtJ8oBeOq3wwxpF0SUvxalQk7mC6NJfnqV8JydI334+tberM0o5pGfDzq9zofza5wyz/4OVAqZqMNfa6TnVpFuy4q6WFDIZdw9LJGf9+aJcuWGtg/ilWtSnUr5imt0PGtrthDi7cZLv2ew7USZy8YHdpRyGaM6hjB9YBzdo/0Y894WYd2AxAAGJllLdasbDSyyubBWHylm9RGrIKZRyrmmeyTTB8aSGGz9XFQ16Nlx0vq+cRS7freJRhYLXPPhNiobmksdHxrVjkV78wRxalxqGM9emUJhlY7KBgPuKgUmswW9yUz3aOfGCF9sbS4z9HJT0i3aj83HrcLnLf1ieGpcB0xmi5AXBlBS24SfVsV30/vwwu/NmVz9EwLoEeOH2WxhwrxtwvI19w9u/YWUkJCQkJCQkJCQkJBoI0hljP8SMwbFuXR/gLWLnCN6o5l9Z6z5SkNs4ewyGcQGaMmvauSaD7fzxdZT9Ir1BxAEKDtD2wfhppKTW9HIqbJ6utvKE6sb9Px+7yDuGByPQi5j1ZEiLnt7E3qThTX3D+aKLs2ZR0Pe2MiSA/lYHFSJEQ5B9WuOFlPdaCDMx53Hx3Zg5xMjeO3aVFHQviOVDQbGvLcFncFEoKeGG3pFA7BwTw63D07gjweGsPaBwTx8eXs6R/pgsYizoKZ+vovHFx9iTGqY6PV6+Od0oazMTaUg/dlRwrqDedXM+m4vV3eL4PSr4/h+Rh+Xx/Z3cz5C13+JxGBPruoaLsqOsjMuNUzoDqiUy5jUI5Ivtp4SCV2dI32YN6U7Koffi9lsYX9OJX1eXkeNzvp7zKtsZGv22YWuJ8Yms+PxEXw4tQc9YvzZcaKczKLmXLdHRydTVK3jk00n6PL8GtG28YEePDYmme2PDeeVa1IFoQtgbYY1Sy051IvYQKuI26g3CU0TAJHQBfDmmuOcKW8gzMeNz2/uybyp3Qn2chOceoFeavQmM14apRBAD2AyW3hvbZYgkoFVYLMLXXcMjhcC+nefFn92vd2UzL+tDz5alTAe4O7hVlfX97vOUGt7PbtG+YpEbgkJCQkJCQkJCQkJibaKJHb9S6gUct6c1MXlOr3JzNXdIkTLpny+C7Dm9CjlMiwWePeGblyWYg2Xf2H5UT7aeAKA3afKRaKUVq1kaDurMLXycKEgmG08Voq7WsHjYzuw/J6BdI/2pV5v4oXlR5nxTRq39IshIajZzTVn4QEmzNvGDpuTakSHZrFLbzQLrhgAD42S63tF89vsAaycM8jleeZUNJD89Cpun5/GuM5hqBQydp6sYO8Z6w1/YrAXs4clsvTugWx/bDjPXZFCZ4eg/kV783j6t8PoTc2dBHeerOCF5c0lmD7uKnY/MUJ4vPtUBdd+tJ36JiMDEgNZeHtfPDVWx1hsgJaPpnZnSp9ol8d7KRPu48ayuwdy+tVxrH1gCONSw/jcwYkE8PnNPamo17PycBFKuYyesX78lJYrEiFjArR8Oa0XWrWC/KpGlqYX8PCidHq/vE5UnncuvNyUnHplLLcPTiDIqzlPreUxPb/sKH1fWScSqQAWzerHugeHMGtIAgEu8thWHbaW8o7uFEp1g4EPN2bT4ZlmF6CPu4r/XdVRtI1cBjf3i2HN/YMZ6dBFdfUR6778tGoAukb7IpdbHW3FNTqmfr6Td9YeF8Zf3jFEyAGbMyKJx8Y0l2E65pW5qxQsmNmX1Egfft3XXFrbJ86ffvEBnCit42mbSw7gjYnNOXYSEhISEhISEhISEhJtGZnFcjZfxaVHTU0NPj4+VFdX4+3t2ll1IZm7Lou3/zjutFwug2+n92GqTeQCuHNoAo+OTubmL3ez+XgpD41qx+xhiXy3K4cXlx+lydgs+mx4aChxgc1C1ZID+cxZeID4QA/en9KNcXO34q5SsP+Zy3BTKQCr++bHtFxeWZEhuG/cVQohW0yrVtBg6xw3PDmYR0cnM3N+GjkVVsdKSpg3v9870Kl0DeDbHaeFG/POkT6iHKWW9InzZ+HtfV3uB6yB4Q8tSne5zpERycGkhHuTEuaNVqPkli93C+uCvTQsu2cgId5uZBbVMP3rNPKrGvHVqvj0pp70jvNHbzRzILeKPacr2HO6otWsrf8y8UEelNY0OZWU2onyd+epcSmMSglBJpNRWa+n50trRaHrkX7ufH1rL+78bh9ZJXVolHJCvN2E37sjN/WNoby+ib1nKimuce4eeD54apSsuX8w4b7uouVrjxYzY37aObdPf3aUqFtnS+qbjHR74Q/0RjP94gNIz6sS3td2Xr46lSd+PSQ87h7ty4sTUkVdIwFOl9Uz9M2NKOQyhrQLYn1mCfcOT+T+y9qx/GAhzyw57OQQs/PYmGRmDUkQHhdUNdL/1fXC41X3DSI51BuLxULc4yuE5b/e1Z+O4T5c/eE2jhRYy24n947mlWtSz/na/BP81+bUf4q2cp4SEhISF4q2Mq+2lfOUkJCQuFCc77wqiV3/MgaTmQnzmm9aHekU4c0Hk7sz9M2NwrIbekXRNcqXxxYfIiXMmxU219Tx4lru/WG/qMTrwDOX4Wtzm9TqDPR4cS16o5nl9wzktq/3UFLbxLfTezOoRdh8WV0Tb605xo97cnHMmv9wand2nCjnh905GM0WIYzbkZ9n9aOnrZzSkfomIwNeW09Vg4F5U7pTrze6zM1y5J7hidw6IA5/D7XTutnf7+P3Q4V0ivDmy2m92Hu6kju/33fW/bni+Ss7MqJDMAq5jFnf7iU9rxq1Qs5rE1O5uluk0/gz5fVc98mOvyzk/NMkh3px38gkahqNLNyTw76cKpfjtGoFs4clMn1gHG4qBRaLhVdXZQqB/3Y+mtqdKH8tt369h9LapvPOHzsXaoWcwe0CCfJy44fdOaJ1L1zVkZv6xVLfZGTnyXK2ZJWxOauUk6X1onG9Y/0ZmxrK6E5hvL4qk8X787muZySvT3TtmARrx8enlxzmu53i54z217oU78Ca+ZX5wmiX4utHG0/w2qpMBiYGcrK0joJqHW9N6sIfR4tZZXN8dQz3xl1l7dwI1gy31yd2Fr2/jhfXMuqdzc37ndqdManWbpB7z1Rw7Uc7ABiUFMi30/vw8ooMPt3c/LtKe2rkP9JR9Hz4r82p/xRt5TwlJCQkLhRtZV5tK+cpISEhcaGQxK5W+C9ecM6U1zPkjY2iZd5uSmp0Rh6+vD2rjxSJnFCxAVpO2/J/HB1cOoNJFMge6Knmf1d1Yqztpvmu7/ey4lARtw2Io1ZnDfOe1j+W564Ul2vZySyq4aXfM9iSVSYse2xMMgMTA5m3IZuVtlIwR67oEs77k7u53N/bfxxn7rosUiN8WHr3AK7+cDsHcqsY2SGY+CBP0c17Syb2iGRsaihdo/zw91BTUqtj5FubqNEZeWJsMrcPTsBktjDtq92i453UI5JjxbVkFtWid3C+tUQhl+HrrqK8Xi9afs/wRLzdVHi5KfF2V+FhK3lcfaSIBbtyXO3qgtMt2pcpvaOpbjSwLbuMDWdxoKkUMib2iGTOiHaE+rgBcDi/mvHvbxWNU8plPH9VR5YeKGCXi26cf5URycFc2TWc4cnBGE0Wxs3dQkG1TnR8c0YksTW7jL1nKlsV1lbfN5j2odZ8quIaHQNfW4/BZGHJ7AEuuxHW6Aws2Z/Pgt25ZDh0qxyUFMj0gXF8vuUUW7Ob3ze+WhVVNkfWh1O7C5+hllz5wVYO5lUzY2CcUGKpUcppMppRymXcPTyRsalhIiFrwYw+9E8MFB7vOV3B9K/3CG5KgNOvjhN+7v3SWkpqreLqugeHkFPRwK1f7RHWP3x5e6Ez47/Bf3FO/SdoK+cpISEhcaFoK/NqWzlPCQkJiQuFJHa1wn/1grP8YAF3L2jO67m2eyS/7MtDrZAzuXcU3+w443K7e4cn8sCo9sLj7JJaRr69WTRmdMdQnr0yhYzCGm77Og1/DzUvTujEXd/vI9Tbje2PDRcyhlwx45s9rM0oER4HeKi5fXA8nSJ8+HjTCZG4BPDltJ4MTw5puRsq6vX0f3UdOoOZ76b3wUOjEHKcfrmzPz1i/MirbGDgaxvO8kpZubpbBNkldRzKr0alkLFyzmASgz3RGUz0eXkd1Y1WocJe3mU0mTlZVk9GYQ07T1Y4uYnaCu4qBaE+bhjNZsrr9E7le3/3c9lLYAHWPjBYCIk3my2Me3+rSHhyRaSfO4PbBYmExVeuSWVy7+ZctVdWZvDJppP0jvPnpzv6CcstFgv7cqr4YXcOyw8WoDOIxc6Pb+xBg97IRxtPkFVSJyx/+PL29Ijx44ZPd+KmkrPv6cvQqp0b1+ZWNDDo9Q3IZTCuczjL0guEdSlh3rw5qQvFNTpu/bpZmJp/W28Gt2t2Uv62P59HfjkoEmLvGBzP42M7AJBf1cgAW2lj92hf3rm+K1e8v1UQxuICPVg5Z5BQivxv8F+dU/9u2sp5SkhISFwo2sq82lbOU0JCQuJCcb7zqvMdnMS/wvjO4fy8N0/IhfplXx4jkoNZl1nC6iPFrW43d302941sJ4hVCUGeRPi6k1/VSEqYN8eLa1l1pIhNx0uZNSQBH3cVFfV6zBYLXholRTU69uZUCp0cXfHsFR0FscvbTUl5vZ5XVmYS4KHmjiHx6I1mkfvntq/TGJgYyE39YhiRHIzS1pXP30PNDb2i+Xr7aT7edILvZvRhUo9IFu3N47mlR/ht9gAi/bQ8e0UKzy87ilIu45b+sXzRIpQc4Nf9zYHdBpOFkW9vYnTHUFLCvXlkdHue/PUwAD/szmFQUiBjU8NoF+JFuxAvruoawZwRSVz70XZRF8HUCB9uHRBLo8HE51tOcaqsuWwuxFtDtL+W+iareCOTWf/JZTJOltaLQtrPRVygB0FeGqeumeeDl5tS6L73V2g0mETn1RK1Uo6nRklFC4fb+RDkpaFzhA+pkT70iw+grE7P7AXW0tI7BsdzILeaRXvzyC6uY11mict9+GlV9IjxZ3C7QAYnBREToOVwfo0gdnm5Kbm+Z5QwvkZnYIGtJHHWkHgATpTWsSy9gKXpBaLSx3YhnhTXNAlC6DNLDguOKTt2p+Trq6yB98PaB7sUugAW20LjzRZEQtf9I9tx59AEPttykjfXHBOW+2pVgtBlMlt4Y/UxPt50wmm/D1/eLF4Pcyhh/ujGHtzy5W6RA+ylCZ3+VaFLQkJCQkJCQkJCQkLiv8hFKXY1NTXRp08f0tPT2b9/P127dv23D+lv4eMbe4jKEK/tEUnamUqKaprLvG7pF8PPe/Ood3DkTP9mD19O64VMJkMmkzEsOYjvdubQJcqXNyd14Zklh0k7UynqCLfkQAGXdQxh8b58fj9YeFaxK8pfS0qYN0cLa3h4dDJuSjnvr88mp6KBl1dkutxma3YZW7PLCPdxY2rfGK7vFUWgp4bpA+P4ducZtmaXcSivmkdGJ7PqcBGH8qtZlJbLDb2jmdonhm+2n+Z0eQMeGiWnXx1HbkUDazOK+W1/PumthNuvOlIk5CQ5ctf3++gQ5s3IDsGEeLsR6u1GqI8bn97cg7sX7BfEn0P51Xyz4wzzpnRjap8Y9p6p5N4f9pNf1UhlvYG7hoZzc7+YVoPzVx8p4qFF6ecUo06V1Z9VcDobf1boGto+CJVCjt5opsloYudJ1wJboKcatUJOQbWOCuP5CV3xgR6M6xxGhzBvQrw1mC1QVK2jqFrHW2uOs/t083N9cpYSVTsbHhpKbIDW6fW9/tMdws8LZvQVuRB/2JVDbZMRD7WCzKJa3lx9nKMObjE3lZzxncOZ3DsaT42Sy99tdj2W1DYR4q0R8tcm9ogkLtADs9nCkgNW8aq18kWT2SL6PNmZO7kbQ5KCuPeH/U7vxet7WUW6Wp2BOQsPsN4m+N3cL4b5NudmbIBWEIdPl9ULjq9h7YN4YflRUSbftd0jReWQEhISEhISEv8Ml+q9h4SEhMSlzEVZxjhnzhyysrJYuXLln77g/NetxIXVjfR7pbkj20dTu4uC16P9tSy9ewDXfbKD48XNpVejUkJ4Y1IXfNxVbM0q48YvduHvoWb3EyNQyGUsOVDAyysyRE6WKX2iWbArhyAvDTsft45rjQ83ZvP6qmP0Twhgwcy+GExmft2fz7wN2Zwpdw729tQoUSlkQic6lULG2NQwJvWI4qe0XJamFzCyQzCf39KLL7ae4oXlR/H3ULPhwaH4aFWsOFTIXd/vQ6OUs+b+wcQENHeWrG8ysjW7jA2ZJazNKKGs7p8Ji7+8YwjVjQYngahzpA8eaiVGs5nqRgPVjQaqGgyibph/lmu6RfDw6PbU6owcKahmbUYJvx8s/P+ewj9GQpAHHholRdU6SuuaONcsEuipISnYk9omA4fzxaWLwV4aVt032GUjAvt7GZrD2cFaBrkvp5KJH+9w2kYplzEoKZAruoTTLyGADZmlLNqby36HsP6kYE9mD0skNdKHy97ehNnSnAO2LbuMqZ/vwstNyZ4nRzo5p+zrW+KnVfHZzT2Zs/AA+VWNqBQynrmiI2+tOUZVg4Gf7uiHt7uSu77fx8nSejRKOa9P7Cwqq13/4BDigzydOjDeMTheJBj6aVWse3Coy9fsQvNfn1Nb8ldvWC6285SQkJD4r3MxzauX8r2HhISExMXGJVvGuHLlStasWcMvv/zCypUr/+3D+dsJ83Gnb7y/ILDc/cN+pvaJ5ntbGVdORQPZJXUsmT2QwW9soNQmXq05WsyR97bw9nVd6Bvvj7+Hmop6PTtPVjAwKZAJ3SIYmRLCvA3ZfLTRWjplLw0rrW1i18nys7pExqeG8/qqY+w8WU5pbRNBXhqu6xnFtd0j+eNoMbO+2ysaX9dk5PVrO2O2WFi4J5cDuVUsOVAgOGYA1maUsPdMBTf3i2Hh7hyySup4dVUGr1zTmTGdQhmQGMC27HKe+u0w82/rLTh+PDRKLu8YyuUdQzGbLRwrrmXMe1v+pt9AM62Vjx5sxVkGzUH3MhmU1Tk7pPonBBDq7cZihzJMgMX7852W2UkO9aJ3nD/do/0wWyzsOlnBj2m5f+JM/n5OtOiMqFLICPVxw0OtFLmPvpzWk25Rfvh5qMmrbGDCvG2i7WQyeOf6ri5FG7PZIghdAC9fncqKQ4Wszyxh47FSJ5Gzf0IAV3QJ5/KOoWQW1bAoLY8nfj3klNWVHOrFyjmDkMlkPLf0CGYLDGkXJATeL7K9tld0CRcJXYfyqnltVaYoyB6sHVIX7smlssHA9Z/uxGS2EO2v5f3J3TCYzFQ1GPBxV3G8uJYXlh+lyWgm1NvqLIwJ8GDOwgPCvuKDPAH4cU/z71cuc3bGvXJN6n9C6LoYeeSRRwgPDyc9Pf3fPhQJCQkJiYuAS/3eQ0JCQuJS5aISu4qLi5k5cya//fYbWq32vLZpamqiqan5prim5uyB2P8FvrmtN+2fspYzmswW6puMtAvxFJxc3+08w7s3dGPHY8NJfLL5optf1cj1n+5k5qA4hrYPspYoHipgYJJVxPLUKHl0dDK+7ipeWSkuP5zy+S62PDKMKH/Xr2t0gJYuUb6k51ax8nAhN/eLBazizuhOoaQ/M4ou/1sj2uaRXw7i76Hm2u4RTOsfy+7TFfx+sFDITAK49qMdPDSqHTf3j+Xp3w7zw+5cxqWGMzApkBcnpHL5u5vZklXGkgMFTOgW4XRccrmMDmHeZPxvNFd8sJXskjpSwry5Y0g8+85UciC3qtWyx/Ole7Qv7UO9OFFaL8rZclcpeHxsMr5aNVqVAq1agVIhFwSOklodJ0rr+G5nc7j69hPlf+q5O4R5M7FHJNkltfxv+VFRlla4jxuTe0dzfa8ogr2tnRVNZgvrM0uY9d1eTGZnu9WEruGEeLtRo7M60s6UN3Ck4Pw/E/eNTCLAQ42nmxIvjYpQH2tJqL9WjdFs4ZYvdwPWjLPfZg8gzMcdsIqfM75Jo6xOj6dGSZPRhMFk4Y7BCQxoRWRtKaAOeWMDLk6JdiGezL+tDyfL6lh9uIj31maJSn8Tgz3pFesvuKc+nNodmUxGVYNeEJVmDrLmfdXoDEKX0Uk9IgE4kFvFhxuyWXPUWfxcNKsfkxzcZSazhSu7hPPS1Z3wclPxyooMAKobDTz1mzVHbki7IEHge3H5UWHbeVO6A9buko8tPiQsb3nOE3tEMrqT6/JKibPzZ25YLsZrh4SEhITE30tbufeQkJCQuBS5aMQui8XCtGnTmDVrFj179uT06dPntd0rr7zC888//88e3N+MRqngvpFJvLs2C4DfDhQwc1CcIHb9dqCAp8enEOCp4Y2JnXn454Oi7T/b0hzovupwEf+7qhMqWw4QwPSBcXy9/TSF1TrRdoNe38DV3SKYNSRBcLk4ckXnMNJzq1iWXiCIXXZ8tCohbN6Rinq9cDy9Y/156PL2uCnlLNidI5SVvblGnH104xe72P/0ZcQFenDv8ETeXHOcF5YfZWj7IHy1rt0s7moFc2/oxoR52zhaWENxjY7nr+oEWB1C9/90QOQqSw714nR5vZPrxxX7cqrY51ACZ6fRYOKZJUfOuf25mDkojkBPDRuPlbLjpFgMyyis4QUHQQSsZZRzRiQxtH2wUHpaWtvET2m5vLH6GC3xcVfx4x19SQ5ttnhaLBZ+3Z/Ps0udj39y7ygevjyZt/84Jgh10wfG8eTYDq127bRYLDz2y0F2nCzHQ63gy2m9BKGryWjizu/2kllUi4dagVxmbSrQLdqXBy5rJ4zJKq7jSEE16XnVrDxUKJTA2jFbrDlhw5KDKahqFESp5FBvxs7dIhICvTRKxncJ57qekXSN8uX5ZdbXcHhysOCe+nLrKRoNJjqEeTMgMQCA5emFNBnNJAZ7Ut9kYspnOwWBUiazdgH116r5fOspEoI8nBxYr17bmUk9IpHJZFgsFpEjSyGX8dCo9twxOB65XEZJjY7PHZovjOoYgtls4aFFrTuOInzdefaKlFbXS7TOn71huRivHRISEhISfx9t6d5DQkJC4lLkX8/seuyxx3jttdfOOiYjI4M1a9bw008/sWnTJhQKBadPnyYuLu6cdfOuvl2Jior6z9fNV9br6fbCH6Jl13aP5Jd9VjEpOdSLVfcNRmcwMeDV9ZSfpXve3MnduLJLuGiZPYMrNcKHQ/nOzqeRHYK5c2gCPWKag+sLqxvp/+p6LBbY+NBQYgM9RNscyK1yKlO7plsENToD6zNLBIeKSiFjUFIQW7JKMZisC9UKOXqTWHgalRJCr1h/XrK5Y67rGcnrE7u0ep4A83ec5pklR5DLYP5tfQRXG8DdC/ax3CEHK/OF0egMJoprmiiq0VFcraO4RscPu3MoaCEEOiKXObttwNqpMsBTg1ohx9tdSZCXhmAvN4K8NMI/T42SNUeK+HV/gagMz0+rIjHYE4PJwoHcqrOe4/kyMDGQl69OJTpAfGNfVtfEk78ecirTjPbX8uo1qSSGeHL39/uFgPmnxnVghs355AqLxcIrKzP5dPNJFHIZX07rxRBb10GjyczsBftYfaQYd5UCfw+10AFz1pAEyuqaOFJQQ1ZxLUZXLyowplMoozuF0jPWn4o6PX9kFDN3XZbTOF+tiss6hDC6UygDEgOFEsTqRgP9XllHg97Ed9Ot74nKej2DXt9AXZORj6Z2Z0xqGBaLhTHvbRGVYYI1A+yqrhHcOTSe+EBPRry9yWWDAcfPRJPRxE1f7BacgP4eaj65qYeoEcTjiw8JbrOnx6cwfWCckF/nCqVcxo939BV9Jv8LXAxZJBaLhbFjxzJgwACeeuqp87p+XKzXDgkJCYmLhX/r+iHde0hISEhc3Jzv9eNfF7tKS0spLz97aVd8fDzXXXcdy5YtE3VqM5lMKBQKpk6dyjfffHNez3cx3JjZeXVlJh9vOtHq+sV39ad7tB9vrTnG++uz8XFX4e+hdnkj/tWtvRjWPlh4XFGvp/+r69AZzIzuGCp0jhubGsrKw0VC4HiXKF9u6hvD+M5huKkUTPtqNxuPlTJrSAKPjUkWPYfFYuGKD7ZyOL8GD7WCer2J+CAP1tw3mLI6Pb/sy2NZeoGTmADQLz6AK7uG89HGE+RUOAfe2xmUFMg9w5PoHOnjFBxuP4aHfz7Iz3vz8NWqWHb3QFFp5vj3t4gC0g8+NwpvN5XTfrKKa7nj272cbPFaeqgVPDa2A5N7RdFgMPHKikxBsAjzceOlqzsxPDmk1eMHqwsrPbeK11ZlklVS53JMoKeG0Z1CGJsahlIu543Vmew5XXnW/TrSI8aPnjF+RPq5E+mvJcrPnVAfd7ZmlXL/j+k0Gkyi8TMGxvHAqHZkFtVy53d7Ka5pwlOj5O3rujCqY2irz2OxWHhj9TE+tOXAvTihEyM7hFBW10RpbRO3fr3nvI/Zx11Fx3Br188qm6urY7i1jHP3qQp2nCwXltvx91AzLjWM0Z1C6RPnL3QydOSzzSd5aUUG7UO8WHWfNavrtVWZfLTxBB3CvPn9noEU1eh4+Od0tmU3z0VuKjk39Ipm5uB4InytLrW1R4uZMT/N6TkcBeUjBdU8+FO66H2e/uwofNyb32cZhTWinLkjz1/OqbJ6xr+/VbRfT42SuiZrB067IPZf49+cU//pGxZHLqZrh4SEhMTFwL81r0r3HhISEhIXNxeN2HW+5OTkiGreCwoKuPzyy/n555/p06cPkZGR57Wfi+mCU17XxMDXNjgJE45seWQYGqWcga9tQG8y89nNPflxTw5rM0qcxo5LDePxsclE+lnFn+eWHuHr7afpGO7NidI6dAYzP93Rj0BPNZ9uPsniffmC28pPq+K6nlEEemp4aUUGgZ4adjw+XFQeCfDD7hweX3wIX60Ks9lCjc7Iq9ekckPvaGFMdkkty9ILWXawgJMtgs47R/qIAuB7xPhxrKhWuOG3I5dBbKAHHUK9SQ71IjnM+n+knztNRjPXf7KD9LxqUsK8+eXO/rirrcKYxWJh1DubRSLT7idGCJlXjtTqDDy0KN1lUH3/hABenNCJ+CBPdpwo57HFB4WulCM7BPPYmA7EB3pwuryeo4U1HC2o4UhBDUcLa4SmAmfDXaXgspQQruwSTqS/OztPlLM5q4z1mc6/1/8vyaFeDEgM5Oe9eaI8tYk9ImkX4olCLsdoMtNoMKEzmNEZTDTqTeiMJlFp6J8hJkBLUrAXHcO9SQn3Jj7QA53BzOasUpelmK64Y0g8j41OFv0R2hKdwcTQNzZSVKMT3odldU0Mfn0DDXoTN/aNpqSmibUZxSK33r0jkrilXwwBnhph2fbsMqa46MJo79poMlt4d+1xvtx2WpSX9tW0XgxLbhaaLRYL13+6U3B93Ts8kduHJHDF+1tFQnWErzt1TUaqGw2MTQ1l3pTuZz3Xf4t/c069kDcsF9O1Q0JCQuJi4L8+r7bFew8JCQmJi4FLTuxqyV/5Zh4uvgvOKysynDqxOZIQ5MHiOwfw+upMvt+Vw6CkQObf1puvtp3m1ZWZTqWBGqWcmYPiuXNoAjU6A4Nf34DBZKF9iBfHimu5LCWEz27uCVjL3X7ck8uCXTlC6Zkjb03qwrU9xBd6x7JKu3AV6u3GxoeHOjmxLBYL+3KquPaj7Wd9DZ4a1wGFXCbkLp0ND7WCKH8tcpmMo4XWP1CUchmLZvUj1McNH3cVbkoFY+eKy9VclWXaj/GTzSd5fVWmy9LFcalhXNsjgqLqJp749ZDzABfIZNbsqY7hPvSJ96d/QiCxAVpqdEZ+3pvHe2uPU6MznntHQNcoX+IDPfDQKNl5srxVp9iFRCGXuQzHBwjy0vDy1ankVDRwsrSOU2X1nCytFwXKOxLoqaFLpA9do3wZkBTI2qPFfLjxBAlBHqy+b7BLJ5cj9rLWMB/re1CtkIuEJlcsmT2ALlG+wuOCqkZeWZnJsvRmYe/e4YnkVTayeH8+k3tHM7JDMM8sOSJ8TrRqBQ16E35aFbufHCkShZemF3DvD/uFx2lPjeSpXw8L7ko78UEenCytJyHIg99mD8DLhQPxv8DFMKf+HTcsF8N5SkhISFxMXGzzalu595CQkJD4r3O+8+pFE1DfVrljSAILdudQ24r4caK0ntu/TeOlq1NZuCeXLVllpOdVc9vAOHrH+TuVRTUZzXywIZsf03J5aFQ7JnSNYNHePHRGq3tsbUYxp8rqiQv0INBTw+xhicwaksD6zBK+3XmGzcdLhX09uCidrdllXN0tggGJgSjkMtxUCm4dEMuba45T12Qk3MeNgmod32w/zR1DEkTHIpPJ6BHjx/uTu3GP7eb/vpFJHC+uZcWh5hv/F3/PcDrvgYmBXNsjgtLaJjILa8koqiW7pJZ6vcmpTNJotnD1h82CmlIuQ6sWC29D39xImI8bnSJ8rMcmHKO1w14r2g2/Hyrk90OFrlc6cG33SLpF+5ISbnWgadXWj57eaOZ4cS0L9+RyMK+a/TmV5yV09Y7z561JXZy6ZxpMZo4V1XIov5rvd50RlWz+HXhplHi5KZ0yzUYkB+OhUeKhUQplna4orW1iposywJaoFXI2PjyUMB83wY2TW9HAF7ZA94cvb39OoUtnMPHhBmt55fDkYD7aeIIPN5wQCcD+Hmqu7BJOcY2OlYeL6B3rLwhd1Q0GPtyYzVfbT6M3Nm/TJ86fO4Yk0OultQD8cbRYOOcIX3denNCJBbtz+ONoMdd0jxQJXXVNRlEHxruHJbJwd46T0DW4XRCbj5fi76Hmy2m9/rNC18VCdHS06LGnp7VJQUJCwnl/My8hISEhISEhISEhcfFw0Tq7/ioX47crn24+wcsrMgGr+OLqNzayQzBatZKl6QWMSA7mi2m9ACip1dH7pXWt7lulkAkh8YGeGsrqmrixbzQvTkh1OT63ooF31h5n8b580fJATzUjO4QwqmMIncJ9GPbmRur1JsZ3DmP5wUJ83FVsfngYPlrnm3bHsq5xncOYN6U7BpOZWd/uZd05yvaCvTR0CLOWwiUFe+KmUiCXySivbyK/slHIkrpQDGkXxBVdwsmtaODr7aeFssBIP3duGxBH50gfTpbWczC/ikN51WQU1YqElD+Dp0bJgMQAhrUPZmj7YEJ9rKWYFfV6pny200n0C/HWcH2vaOqbjJwuqz/na/tP4KtVEertRnyQB/GBnsQFehAX5EF5nV4kgh1/cQxqpVjMuvO7vaw8XES/+AAWzOxz1pK+JqOJ2d/vZ22GcwmqnS+n9WRQUhBGk4WBr1ndiB9O7c7w5GC+2X6aeRuyBeEx0s+dvEqra+u32QPYn1Mpchoq5DJmDIpjzogkanVG+r+6HpPZwtoHBpMY3NzZ9Jklh5m/4wxgdVm+PrEzcxYeEB1Xjxg/9p6pRK2Qs2BmH3rG/rcC6VtyMc6pUmaXhISExL9PW5lX28p5SkhISFwoLvkyxr/KxXjBaTKaGPn2JnIrGukZ48e+nEqXTqOO4d4cKbA6eRbN6id0fntx+VE+tzlizgc3lZztj43A30Pd6hh7UD1YBQzH4HB7CRdYS7GUchnHi+uY1j+W567s6HJ/RwtqGP/+FswW+GFmX/olBGA2W7jlq91sySojMdiT167tzIHcqla71TkS7KUhJkBLlL9WJMw9Mro9gxKDUMhlNBqMlNQ0cef3+0TbRvi6c9ewZheaQibDy02Fl5vVubRwdw6L9lq7Yvq4q0gJ82bvmUrBMeTtpuSG3tEo5DI++n+IbW4qOSM6WHO77N0NNx4r5Y+jxWw6XkJZnbgDZ2KwJ9kuyhiHtAvi+Ss7CmWaZXVNPPbLQSHXLTXChyfGdkClkFFer6fC4V+tzoDRZMFgttBkMLHmaLHTvt1UctRKhajMz99DTYVDh9AFM/vQI8YPjdK5qUB5XRM9XlwrPG5ZRgiw/UQZUz7bhVwGK+YMIjlU/Nk1my1kFtWy82Q5O0+Ws/FYqcjB5aaS46ZSCO/TlXMG0SHMuo8vt57if8uPEuyl4fbB8Xyx9RSFNuda+xAvHhuTLDgb+8T5M75LOE//dljY96CkQJ4al0L7UKuo9cH6LN5cc5xesX4smtVfGLfndAWTPt4hPB7XOYzfD7buCnz3+q5M6BbR6vr/ChfjnPpXaCvnKSEhIXGhaCvzals5TwkJCYkLhSR2tcLFesH5/WAhsxfsQ6OUM21ALJ9saj3HC6BnjB+LZvVDJpORW9HAkDc2YLZYy9/seUVKuQx/DzUlLgLTbx8czxNjO7S6/23ZZUz9fBfuKgVbHh1GZmEta44WseZIcav5SwC/3NmPHjGunSpP/3aYb3eeIT7IgxX3DsJNpaC0tomxc7dQWtvEpB6RvD6xM3mVjYx9bwu1TUZ6xvgxoVuEEAJ/oqSO2qbzy7vycVcR4KHGTaUQ8r0cuaZbBB4aJQaTGb3RjN5kFn4+kFtFZYvOgH8HXm5KBiUFMiollMtSQvDQuK40NpstHC6oZkNmKX9kFLVartgvPoCru0fQM8aPuEAPNh4v5eFF6ZTV6VEr5Dw6Jplb+8cil589+LzJaOKBn9L5/WAhMhk8Oz6FaQOsnQENJjMP/JTOsvQC5DJ4fWIXdp8q56e0PNxUcn6Y2Zdu0X4u96s3mrlq3jYybK//5N7RvHKN2FVoNJkZN3crx4prublfDP+7qhM6g4mMwhr251Sx82Q5u09XOHVqtPPR1O4MaR/E9Z/s5FB+teg5mowmer6w1uk9E+bjxgOXteOa7pGU1zfR/5X1GF0ozC1z64wmM0Pe2Eh+VSNvX9eFa7pb1+kMJsbO3eLUkKE1nhrXgRmD4s9r7L/NxTqn/lnaynlKSEhIXCjayrzaVs5TQkJC4kIhZXZdYoxNDWVgYiBbs8s4WlDDg5e1460/jrc6Pu1MJesyShiZEkKUv5bLUkJYfaSYhCAPHhrVnmeWHCazqJaS2iai/N3JrRAH0H+6+SRKuYy7hiXi6UJw6Z8QQHKoF5lFtfyUlstdQxMZmBTI81d25FB+NWuOFPPBhmyn7a79aAc9YvzoFuVL12hfukb5EuHrjkwm46FR7Vl1pIiTpfW8vz6Lhy9PJshLw7vXd+WmL3axaG8eHcO9mTYgjtcmduau7/eRdqaSm/vH8vLVVvHCYrFQ1WDgTEUDORUN5JTXk1PRQFZJHftzqkTHUt1oEHUfbMni/fmtrvuzhHhrkMtkgmOoJVP7RHNV1wi6R/ueM4sKQC6XEe2vZXNW6VlzuXacLGfHSdfd6p69MoUru4SfU+iq1Rm449u9bD9Rjkoh4+3runJFl3AAGvUm7vlhH2szSlApZLx3QzcyC2v4KS0PuQw+mNy9VaHLYrHw7NIjgtAF8PR4Z4H1400nOFZsLcksqNIx+l1rN82WIfhatYJesf4kh3oJTR1euzaVMalhLErL5VB+NZ4aJQ+OagdAcY2OcXO3ioSuSD93Zg1JYGKPSNxUCkxma/dOV0LXVV3DnRo0rD5STH5VI/4easamhgnL3/nj+HkLXfcOT7xohC4JCQkJCQkJCQkJCYn/IpKz6yLidFk9o97djN5o5r0bunIor/qs5YnxgR6sud/asW7XyXKu/3QnaoWczY8MI9BTzXc7z/DWH8dbDb8Ha0ne9b2imNw7mvggT9G6n/fm8dCidEK8NWx5ZLhTxlJhdSP9Xll/zvMK9NTQNcqXzpE+nC6rF0Sm3+8dSMdwa2C8PbdMIZcx/7beDEgM5NWVmXy86QTuKgWL7+ovlKW1RlWDnokf7yC7pI5ATw0f39gdo9kqjulNZhr1Rh79xbmj4qCkQAYlBaJWyFEp5agVctRKOe4qBQGeao4W1vLCsqNOnS9bI9hL4+Sm0yjlXNElnCl9oukW5XvWPKrjxbXM+CaNnIoGp3VrHxhCYrAn5XVN7D1Tyd4zlWft5gnWss2kEE+i/bWE+7pb//m4Ee7rjkIuY/o3ezicX4OHWsEnN/VkYFIgACU1OmbMT+NgXjUapZyPb+zB0cIa3lh9DIAXJ3Tixr4xrT7vN9tP8+zSI8Lj56/sSJCXhlNl9Zwqq+d0WT1pZypb3T7AQ01qpA994gLoG+9PpwgfVAo5zy09wtfbT9MhzJvl9wykutHAyLc3UVGv5/ExyfSM9ePr7WdEZZcAb07qwlVdw1Ep5OgMJhbvy+fZpYeFTDuAmYPi+GyL9TO37O6BpEb6COssFgsTPtxOem4V945I4oHLrKKa3QV5PtzSL4bnrux41t//f42LeU79M7SV85SQkJC4ULSVebWtnKeEhITEhUIqY2yFi/2CM3ddFm//cZxATzWr7hvMc0uPsPwsuT+Pj0nmjiEJWCwWrvtkB3tOV3LrgFievcKanVVW18Qbq46xaG9uqx0H7fRPCGBKn2hGpYSiVsrRG80MfG09JbVNvHZtKtf3inba5qXfj/LZllN0DPdmVEoo76y1utGu7hZBVkktmYW1Ll0zdsalhpEU4kmErztvrTlOUY0OD7WClXMGE+HnzjRbple0v5aldw/AV9t6zhhAflUj13y4jeKaJjpH+vDt9D74uDeH5lssFl78PUPo+mfn3hFJTB8YR1G1jvyqBvIqG8mvbCSnooHjxbWcOE/XDkDvWH9uHRDLsORgVhwq5NPNJ0Vh8h3CvJnaJ5oJ3SIEV11lvZ4lB/J5bplzXlmIt4Zldw8k2NvN6Vyf+e2wKIj+mu4R+GnVHC+u5XhxLcU1ziWsreGpUdIvIQBvNxX5VQ3sPFkhrLuiSzjpuVWCABcf5MHMQfE06E006o006E006E3oDCbq9SYnoel8GNIuiC6RPnSK8CE10odQbzcnUSi7pI7L392MyWxhwYw+9E8M5MGf0vllnzVjze5GbMnh5y/HU6OkqkHPdzvP8PX2006ZaIefv5xPN51g7vpsukf7sviuAaL19kwutVLO9seGE+ipobJez+j3Nrt8nbtE+pCeVy08vqlvDM9f2fGcTrv/Ghf7nHq+tJXzlJCQkLhQtJV5ta2cp4SEhMSFQhK7WuFiv+A0GU1c8f5WjhfXMbpjKPOmdif56ZUi90lL1j04hIQgTzYfL+XmL3ejUcrZ8ugwgr2axZGs4lpe/D2DTcdLnbYfnhzMhmMlQhfIQE81V3WNYELXCHaeLOelFRlE+buz/sGhqFqU4FXU6xn8+gbqmoy8NakL763LIqeigZv6xvDCBGv20uH8ag7kVnG0sIas4joO5Vc7HYMrkoI98dAoOZBbJSx7ZnwKAZ7WHC61zYWlUshRKWSolXLkMpm1DHRRurDNezd0RaNUUNdkpKpBT2WDnnkb/nywvK9WhdlsETr4gTXg/I1JnZEh4/OtJ/n9YKEg7kX4ujOtfyzX9YriRGkd3+/MYfnBApps3RnVCjmebkpqGg0uBcGO4d58fWtvgrw0ouUms4Wvt5/mrTXHaNCbUClk3Dk0kbuGJuCmEgfEVzXoOV5cR1ZJLfmVjRRW68ivahRy3S4UchmEeLsR6uNGXIAHsYEeHM6vFgLx19w/mHYhXufYC0z/eg/rMksY2SGET27qweurM53y7dRKOaM7hrLUJrg9Na4D/RIC+H5XDr/tzxeaKziy7O6BxAZqGfDqemp0Rj6c2l1Upggwc34afxwtZnLvKF65pjMWi4VZ3+1l9RHnjpD3jkhi7rqs5uMeGMdT4zpcVI4uOxf7nHq+tJXzlJCQkLhQtJV5ta2cp4SEhMSFQhK7WuFSuOAczq9mwrxtGM0W3prUhQndIkh4YoWw/rKUEP5o0TVv66PDiPB15+oPt3Mgt6rVAPo3Vmc6CT0dw7154LJ2HMitYuGeXEodSvAifN3Jr7Lmfb16TSo39HZ2d7279jjvrs0iNkDLs1d25Nav9gDw4+196RMf4DTebLYwd30W7661igFdonzxdlOSX9V43rlH/zSjUkKI9NMS4edOUrAnyaFeBHlpkMlkVlfRrjO8vuqYkAd1VddwHr68PUq5nO92nuH7XWeEgHutWsGYTmFM7BFJQpAHD/980KXoaOeGXlE8OKq9k8gFsDWrjJdWZAg5WL1i/Xj56lSSzkMoAmvA+qsrM4Xy2E4R3jw6OhmzxZpx9v66LLIcOj4ObR8kdOW0M7JDMGYLyACtRolWpcBdrUCrVlCrM/LtzjOi8b/fO5AOod4iR1NFvV4oPbx/ZDvmjEw657FvyCzh1q/32I4hhLQz4tD6xGBPJvaI5LqeUSxKy+WVlZmA1UnnmBvWIcybOwbH81NaLttPlDOucxjzpnTnw43ZvL7qGInBnqy5b7DoeI8UVDNu7lZkMvjjfmspqb30tiVvTurCQw5i611DE3j48vYXpdAFl8acej60lfOUkJCQuFC0lXm1rZynhISExIVCErta4VK54MzbkM0bq4/hpVGy8r5B1DUZGf3uFmH99T2j+DEtV7TN5zf3RC6H275Ow00lZ9PDwwhpUfpmsViY9tUel2LLkHZBTOkTjcUCyw4WsPZoseBCsnPX0ATGpobRMdxbuHmvazIy9I2NlNU18ejoZM6U17NwTy6xAVpWzhmMu1rh9FwWi4WZ89NYm1FCUrAny+4ZiJtKgcViYX1mCdO/SRPGPj4mmYV7cjlV1iyEdY/2tXZPNFowmMw0Ga2dFM0Wi83pJXfKvOoZ40e4rzt+WhW+WjW+WhUnS+udxBmAaf1jeXR0sstjt1NSo+PVVZn8uj8fi8XqKLp1QCyzhyWiVsj5bX8+X207LYSvny/BXhrGpoYxKiWEHrF+aJQKsktqeXlFJuttJYtebkoeH9OBG3pFnXdZXGW9nnt+2M/W7DIA7h6WyAOXtUMul9GgN/Lkr4f51Zandn3PKF68uhM/7M7hmSXW3K1ZQxJ4dHTrok11g4HrPtkhOl9XDimA+388wK/782kf4sWyewY65cE5YjCZWZ9Zwh3f7m11zPcz+tA/IQCLBdZlljBzfppovUoh4/KOoUztE0PfeH/WZljHqBVy1tw/mGBvDQNf20BFvZ53ru/C1d3EwfR2V9eVXcKZO7kbX2w9xQvLnUtO37uhK3MWHhAeP3BZO+4ZnnjRCl1w6cyp56KtnKeEhITEhaKtzKtt5TwlJCQkLhSS2NUKl8oFx2gyc90nO9iXU0XXKF9+uqMfb6zOFMKzASb3juKH3WLBq0+cP01GMwdyq4Ryq5acLLXmHrVWGhnh687UvtGMSw1jz+lKftyTw57T4iDxMB83RnYIYVhyEL3jAlh1uIiHFqWjVStYMnsAN32xm6IaXasOM4DyuiZGv7eF0tomoezRzrqMYm7/di8ms4XZwxJ4+PJkkcDw3g1duaprxDlfx0N51Uz5fCe1OiO9Y/35fFpPvN1UojG5FQ1M/2YPx4vrRMtjA7S8PrELveP8z/och/Oreen3DKEroo+7ilEpIcQFebDjRDlbssrOuv3T41OIC9Sy4lARq48UnbWhgEIu46a+Mdw7Igl/j7Pnlzmy90wF9/5wgPyqRrRqBW9O6iKIUNklddz1/V6OF9ehkMt4bHQyMwbF8cH6bKEj6IyBcTx5ljI8ncHETV/sEr1PHLPjHFlxqJC7vt+HXAaL7xpA1yhf0XqLxcLJsnq2ZZexNauMHSfLRa+JQi4j0FMt5GR9dnNPov21/HYgn6UHCgQnIkC4jxs39othUo8owSmnM5gY9c5mcioauHNoAo+Obn5vRftrWf/gEFHHzEN51VzxwVbkMlgyeyCfbjnpMpPspas78eSvh4XHjiH2FzOXypx6LtrKeUpISEhcKNrKvNpWzlNCQkLiQiGJXa1wKV1wcisaGP/+VqobDYLTaMx7mzld3uxY6hXr5yRE2ZHLYPV9g12WuL23NksIkwer82Vqnxh+3Z9PdaO1NEytkHNZSggTukWQdqbCKRvJjkIuo3OkD/tzqgAY0ymUiT0imf5NGnIZLJrVnx4xfi63teeMgdWZNjIlRFj3454coXvic1ekMG1AHC8uP8rnW0+hUsj4+lZr18ZzcSC3ips+30Vtk5GO4d58c1tvAj3FJYK1OgN3L9jv5HiTyeCWfrE8Mro9WrXS5f4tFgvHimt56feMcwpbrdE1ypdRHUMY1j6YwupGftqTx6ojRS7HXts9kh4xfnSJ8qF9iJdImGmJ0WRm3oYTvLfuOGYLRPtr+fTmHiSHWj8bS9MLeOyXgzToTQR7aXh/cjd6xfrz0ormEP85I5K4b2RSq0KX0WRm1nf7WJvRXFrbN96fb6f3ccp4K6hqZPS7m6nRGQUR02S2kF1Sx4HcStJOV7Itu4yCap3L55rWP5a7hycyfu5WimqsY+ICPUSuPzu3DojlqXEpKFo43z5Yn8Wba44T4q1h/YNDMVssDH1jI+X1epelurd9vYf1mSVo1Qq0aiVldc5h9DMGxok6p07qEckbk7q4PIeLjUtpTj0bbeU8JSQkJC4UbWVebSvnKSEhIXGhkMSuVrjULjjrMoqFkr73J3cjzMeNSZ/s4Hx/q71i/Vg0q7/Tcr3RzJUfbBV1rntoVDtmDIpnWXoB3+08I+okp1UrhGDvO4bE0zvWn7UZxWzLLncqF3TFwedGOTmq7Lyw/ChfbD2Fv4eaVXMGiboO2oUJmQzm3tCNcalh3LNwP78fLMRLo+SH2/vSKcLnnM9/OL+aW77cTXm9nrhAD+bf1psof61ojNFk5t21WXywIdtp+2h/La9P7EyfOH8Kq3UczKvmUH4VB/OqOZxfLeRznY2+8f7c1DeWkSnBVNYbWHIgn1VHigSR8GyoFXJkMpzKSt1UcjqF+9A1ypcuUb6khHsT7a9FpZCTV9nAfQsPkHbGKoZe0y2C56/qiJebCp3BxMsrMpi/w1rC2S8+gLmTu+GnVfHY4kP8vNfa3fCZ8SncNjCu1eMymS08tChdKH8Eq5tq6T0DnQRFk9nC9Z/sEI7n9sHxHMqr5lB+NXVNYjebWiGnR4wf/RICeNvmLhuUFMgNvaKZvWCfy9dncLsgQXAblBTI/Nt6Owl0eZUNXPb2ZhoNJsEd+PaaY8xdn018oAer7x8sEuh2nChn8mc7Wz1/sL43HD8Dw9oH8dWtvc+6zcXEpTantkZbOU8JCQmJC0VbmVfbynlKSEhIXCgksasVLsULzuurMvlw4wm0agWLZvXj1335gotEKZe57OTnyOB2QXx6Uw+nTn0H86qYMG8b9s3VSjmr5gwiPsgTsApEv+3PZ0l6gSi0HmBEcjA39o2hX0IApbVN7DhRzvYTZfx2wLm8y06fOH/ahXjRLsSTpBAv2oV44e+hpsloYsK87WQU1tA71p/vZzY7giwWC88uPcL8HWdQyGV8MLkbw5KDufnL3ew+VYGvVsWCGX1JCT/37/pkaR03fbGb/KpGQrw1zL+tD+1DnV1vm46Xcv+PB6io159zn3+GEG8Ns4YkMLl3tOh3UVKj45d9+by2yjnsHKxZYwMSA+ke44fJbGbvmUrSc6tJz60SAvIdcfWeuLFvNHcMTiDIS0NWcR0P/HRACKK/e1gi91/WDoPJzJyF+1l9pBiFXMZr13ZmYo9Ip/3bMZktPLwoncUOQpdaKeeHmX0I8nSjoLqRwupGzpQ3kFVSx+8HC1vdl1atoHOkD12jrAJX71h/TBYLN3+xi31nEQOv6hrOqJRQhrQPYvepcm77Og2lXMaq+waTGOwpGuuYV9c71p8f7+hLaW0TQ97YSKPBxMc3dmd0p+Z8sbzKBga+tqHV53ZFt2hfFt3R76xuu4uNS3FOdUVbOU8JCQmJC0VbmVfbynlKSEhIXCgksasVLsULjtFkZtpXe9iaXUaYjxs/3t6P6d/sIaukjuRQL9RKOQcdXFjdon2d3EIBHmqeGt+BK7tEiMq6XlmZISpP7BPnz8Lb+4ocMSazhe0nyvh1fz6L9+WL9qtVKxiUFMjgdkH0jQ/A111FjxfXnve5BXioifTXojeahY55cYEefDClG/4eavy0alQKOY/8fJBf9uWhlMv4YEp3BiQGcNMXuzmQW4WfVsUPt/cVSvPORlG1jpu/3CXkcz17RQrhvu4U1+goqtZRVKPjTHkDe8+4Lg09H7pF+zKmUyijO4YR7K3hp7RcPtp4gkJbaZ6fVsXk3tHc1C8GhUzGtzvP8PX206JcKpVChr9Hcy6VHTeVnNQIH1IjfOkU4Y2nRkl1o4FD+Vbxy9GNdz74aVVc2SWcer1JcHOBtRR1XOcwzBZr90yzxYLJbMFigSaTmeoGPW+uOX6WPZ+dzpE+dAj1pmu0L12jfEkM9uRUWT37cyrZn1PFgdwqkeuwJd2iffnx9n5CsL3OYOLydzdzpryBOwbH87iLnLjF+/J44Kd01Eo5K+cMIiHIk8cXH+KH3Tl0i/Zl8Z39kclkFFXr+HBjtuB6O19iA7QsmT0QH61rB+PFyqU4p7qirZynhISExIWircyrbeU8JSQkJC4UktjVCpfqBae60cA1H27jRGk9nSN9eOGqTlz/6Q50BjP3jkgir7JBJEQ9PT6FXSfLWXO0WLSf+CAP7h6WyJVdwlEq5OgMJibM2yYSFlzlFtnZdbKc6z9tvawr2EtDRb1ecBYtv2cgqw4XCaWBY1ND0RnMHC+uJa+ysdX9OOKhVuDjrhLlOKkUMoa0C2JtRomwbEBiAPGBnpgsFsxmC0aztVNjrc5Irc5g+98oCjD/O3BXKegd58/Q9kGM7hRKmI+705gmo4lf9ubz4cbsVs+7XYgn9wxPYmxqGAq5DIvFQk5FA9tPlNucc+Uu86I8NUo6hntzOL+aelupKViD8sd3DiOnouEvZ4n9VdRKOeE+boT5uKNVK1hn6yLZNcqXT27qQVZxHZlFNRwvruVYcR1ZxbVCmawrXr0mlTdWH6O8Xk/vOH8WzOgjck+9u/Y4767NIthLw/qHhuKpEeerldU1MfLtTVQ1GHj48vbMHpbIkYJqrnh/K2YL/HRHP6L9tXy86QQLduegdygXPR/3ZICHmp/v7E9coMdfebn+01yqc2pL2sp5SkhISFwo2sq82lbOU0JCQuJCIYldrXApX3DOlNczYd42KhsMQifEJ389jEIu44eZfTldVs8jvxwUxr99XReWpRew4Vip075iArTcNTSBq7tFcqa8nvHvbxXyoDzUClbOGUx0gNZpO4D7Fu7ntwMFpEb48NLVndiQWcqOk2Xsy6kSiQR2ukT5kp5bBYBGKSftqZF4uamobzJyqqyevMpG8qsaya9s5Mttp5y2v1Bc0y2CBr2JJqOJRoOJ6kYjJ0vrnHKyWjKucxiPj0km0s/162XHYDKz4lAhcxYecLn+9Ws7M65zGB6a1oPwT5TWczCvypYZVs2Rgmp0BtfH56lREunn7uSQ6hvvz1VdI5ABv+7PZ9epCmFdl0gfgrzcaDQYMZgsKGQy5HKQy2TIZTLMFkurwtknN/XAS6NEo5Jjtli7bZ4pb+CVla7LM1viWMr4454cKhsMRPi6s2LOIJ5feoTF+/MJ9NSw4t6Boly3Y0W1jH9/CwaThbmTu3Fll3Cn1+3uBfv5/VAhKWHeLLl7AAqZjIkfb2dfThXxgR50jfJl2cGCVjuUng0PtYKFt/cjNfLc2XEXI5fynOpIWzlPCQkJiQtFW5lX28p5SkhISFwoJLGrFS71C86e0xVM/XwXeqOZa7pHYDRZWJpeQICHmqX3DKSyXs/497cK46f2iWb1kWKXjiCAIC8NU/tEY7bA3HVZwvKeMX4svL2vy+yhkhodI97eRK3OKHRJBGsp2f6cKnacLGdZeoHLDnl2YgO0xAd5EhfoQXyQB5F+WoK9NAR4qnngx3S2ZpcRE6Dl29v6YMFCRb2eino91Y0GHvgpXdhPQpAH/RIC+G5njrBsZIdgukb5opDLUSlkeLkp8XJT4aaS06g3U6830qg3oTOYzkuI8XJTEh/oISoR9NOqCPF241hxLRaLNSD9xr4xzB6WQECLYPbskjp+2ZfH4n15QlmiSiEjwZaNdrKsXhAJtWoFY1PDmNQjkt5x/q12QARo1Jv4aGM2c9eLA/Wj/N0pqNJhOocbqSXR/loi/dzx0CiFQHyF3CpyyWTWpgbLW8nd8tWqqNMZz+mAAmuX0NgAD2t+W6gX7UO8aB/qSWyAB0qFnN8PFjJ7wT5kMvhhZl9OltbzxK+HkMvg+xl96ZcQIOzLaDJz7UfbSc+rZmSHED67uYfTa2YvX1TIZSyZPYBOET78sDuHxxcfcjq23rH+jOgQzGurMjmfl0+lkPHVtN4MTDp3V9CLlUt9TrXTVs5TQkJC4kLRVubVtnKeEhISEhcKSexqhbZwwfnjaDGzvttr7W7XM4qD+dVkFNaQEubNz3f2I7eikcvf3fyn9qlSyJxcLQ9e1o57RiS5HP/tzjM8/dthPDVK1j4whFAfN6cxP6Xl8sjPVqeZqxyx82VEcjC+WjUeGoUgxLznIMz5aVVc3S1S5Arz91DTNcqXuiYjNY0GSmubKD/PwPmYAC1D2wXRNdqXLpG+xAZ4ILflnK3LKOaxxYcorW1CLrOW5elNZg7nW/PGPDVKZg6K57pekazPLOHnvXmi8w70VDOlTww39okW3EnldU0s3JPLorRcTpc3d/WL9tdybfdIrukeIeocaTZb+O1APq+vOkZRjbW0c0i7IF6c0Ikofy3ldU08v+woS9ObmwX4aVX0TwykpEbHqbJ6yur+3vB9Rzw1Svw91KIOhf0TArh9cDxR/loifN2dmiXYyS6p5coPttGgN3Hn0ASGtgvixi92YTBZeHR0MncOTRCN/3TzCV5ekYmXm/V9GOItfh/mVjQw5r0t1DUZeWhUO67uHslnm0/y9fbTwhiFXMaYTqHMHBRPx3Bvxs7dImS6uWJgYiBbs8tQyGW8P7kbY1PDWh17KdAW5lRoO+cpISEhcaFoK/NqWzlPCQkJiQuFJHa1Qlu54Py6P4/7f7Q6nCZ0DWdLVhnl9XrGpobyweTubM0u4+Yvd7vcNjnU66zh36Lnuas/3aL9nJabzRau+Wg7B3KrGNMplI9u7OE0xmKxMHvBPlYcKiImQMvyewby7c4zvL7qGAATe0Ti467iVFk9BVWNf0qQ+quoFXKCvTWEeLsR6u1GTICWhCBPKhv0vL7qGHqTGX8PNe9c35Uh7YJc7qOqQc+zS4+wxNZ5MtBTw6CkQNJzqzjpws2mkMsY2i6IiT0iGd4hGI3StdBjsVhIO1PJz2l5LD9YIMrfSo3wYXSnUAI91Xy/K0doSBDh685jY5IZ3zkMk9nCwj25vLH6GNWNBgAm947m0dHt8dWqAauYNOu7fWTbOjHeOiCWST2iqGsyUtfUnGtmMlsD6c0WC8U1Oj7b4rq89KWrOxEb4IGPu4oAT2tDATeVgqMFNUz8eDsNelOrgfEtqWsyctUHWzlRWk+/+ABevLoT1360naoGA+NSw3h/cjdBdARrd80x722hyWjmtWtTub6XOGfOaDJz/ac7hWYDg5KsIpXjjDitfywzBsUJJagP/HTAqQmDI1d3i+DX/fltRuiCtjOntpXzlJCQkLhQtJV5ta2cp4SEhMSFQhK7WqEtXXDm7zjNM0uOAFbn1OH8agwmC7cPjueJsR2YtyGbN1Yfc7ntxzf24IXlR4Wwdi83JeE+7hwrdhbBnhzbgUk9IwXBxE5GYQ3j39+KyWzhw6ndXd74VzcYGDt3C/lVjUzoGs4713flzu/2sepIESHeGn6bPUAU6K43mimra6K4Rsev+/OFjnjuKgUzBsVR12REZ7CKQBYLLNyTK3q+m/rG8O3O5i56feL8uXNoAsFeboT6uOGnVbVaGphb0cAd3+7lqK0r5OxhCdw/sp3LUk6ArVll3Pfj/nO6pKb0iebhUe3x81CfdZwjDXojq48U8fPePHacKHdZUje+cxhvTuqCRinnj6PFvLoqk5OlVrGtQ5g3L07oRI+YZqFyWXoBj/5ykAa9iRBvDfOmdKdnrP9ZjyO7pJZbv95DbkWjyP0X6u3Gj3f0JSbAOZC9qFrHhHnbKKrRMSAxgG9u7d3qa2jHURgN9XZjwcw+zJyfxonSerpE+rDw9n64q5tFQr3RWr54KL+agYmBfDu9t+j36qrxQksWzOhD/8RAYfychftZfaTY5dhATw0dwrzYkmV1dM29oRvjOl/6Qhe0nTm1rZynhISExIWircyrbeU8JSQkJC4UktjVCm3tguMoeHlplNQ2GQGrQDV9YBx3/2AVEFyx4t5BLD9YwOdbTqE3WTOjRiQHk1FYI+p8CCCTwYCEQC7vFMrlKSFCCd6bq4/xwYZs/LQqVt83WBQcbmfvmQqu+2QnJrOFtyZ1YVTHEK75cDtZJXWkhHnz06x+Tt3z7DhmK719XReu6R7pNGbBrhye/O0QFovVvfP+5G68ueaYkON164BYnhzb4ZyCC1hFjxeWH+X7XdZt+8T5M3dyN6E8zmy2kFlUy9bsUjYfL2Nrtuuw9jGdQskorBHKErVqBVN6RzNjULzLks/WOFZUy7NLD7PzZMW5B2MtV5wzIokb+8YI56szmHhlRQbf2ITDfvEBzJ3cjSAvzdl2xabjpdz9/T5qm4z4aVWYzBZqdEaCvDT8eHtf4m2ZY47UNRmZ9PEOMgprSAz25Jc7++PjrjrncX+86QSvrsxEpZDx/Yy+vL8+iy1ZZYT5uLFk9gCn99UrKzP4ZNNJfLUqVs4ZRJiPO4XVjWzILGXDsRL+aNGFNDZAy6CkIEEInTkojifHpQDWHLx7FuwXSkJb4qtV4a9Vc7Ks3lpCe0NXxrQBR5edtjKntpXzlJCQkLhQtJV5ta2cp4SEhMSFQhK7WqEtXnB+2J3DE78eouVv+p3ruzCmUxiTP9vJ/pwqgrw0lNaKg+pvHRDLtd0j+XzLSX6zleWpFXJB/GqN5FAvBrcLom+8Py/9nsGJ0nqGtQ/iy2m9XDqn3l+XxVt/HMddpeDX2f3xUCu5+sNtlNXpGZ4czKc39WhVjLILG0q5jE9v7sHw5BCnMauPFHHfwgM0GkwkBHnwxS29WJZewFt/HAesItgHk7vjoz238AKw5EA+Tyw+JJQSjuschlwmY3t2mVOpZXKoF50jfUg7XSmUMWrVCm4dEEuUn5b5O84IbjGVQsa41DBu7h9LtyjfVl1mmUU1zF2XJRIqL+8YwvSB8eRVNvDeuizOOOR72QnzcWN0p1B6xvjTLdqXino99/14QChbvGtoAg9c1rpbDawuq2+2n+Z/y49itkC7EE8aDSZyKxoJ8FCz8Pa+JIV4OW1nNJmZMT+NjcdKCfRU8+tdA0RZY62x6nAhd36/D4sFnr+yIwdyq/h1fz5atYJFs/rRMVzc5XB7dhlTv9iFxQLX9YzET6tm0/HSVl1cy+4eSKcIbx74KZ1f9+cTH+TBinsHUd1o4PllR1oVg8Eapu+pUVKjM+KpUfLpTT0EN1hboa3MqW3lPCUkJCQuFG1lXm0r5ykhISFxoZDErlZoqxecX/bm8cgvB0Ud+BRyGR9M7kavOH+u+XA7ORUNdIn0oahGJ3QFBPBxV3HP8ES6Rfvy9h/H2ZZd7vI5esT4YTRbSM+tavU4RnYI5tVrOxPYoiOhyWzhli93szW7jGh/LUvvHsCpsnpu+HQnTUYz0/rH8tyVHV3u02y2cP9PB1hyoACNUs7Xt/YWdeSzczi/mpnz0yis1uGrVfHxjT2orNfzwE/pNBpMxAV68PktPYUuiK6obzJyMK/aJrjkuQwq16oV9InzZ0BiICM6hBAX2FzKt/1EGa+tOia8Rn5aFXcNTSTKX8uXW0+x+3SzQ6tThDc3943lyq7huKkUWCwWdp6s4Mttp0TOpLGpodwzPIkOYd4czq/m/fVZTuV2QV4ayuqanARPR+4Znsjtg+Pxcmtd8DOYzDy/7IjgihuUFEh+ZSMny+rx1ar4YWZfOoQ5f64sFgtP/XaY73fl4KaS8+Pt/egS5dv6wdg4kFvFDZ/uQGcwc1PfGJQKGV9tO41CLuMzB2HTbLZwqryerVllPLv0iMt9yWTQMdxbaBaQGuHDoln9cFMpWHIgnzkLDyC3dXjcnFXKvA0nXO7HVaZdgIeab27rTacIH5fbXMq0lTm1rZynhISExIWircyrbeU8JSQkJC4UktjVCm35grMhs4S7vt9Ho6E52Fwpl/HBlG4khXgJYd8dwrwpqdE5OZSCvTTcOTSBuEAPPt18ku0nnEWvZXcPJMzXjW3ZZWzNspbxFVY7l39F+2vpHOlDcqgXSSFetA/xwstNyVXztpFX2cigpEC+vrU3a44Ucef3+wB4Ymwytw9OcNoXWEWYO7/bx9qMYjzUChbM7OtSTCmp0THz272k51ahlMt49ooUusf4cfv8veRXNeLlpuS9G7oyOCmIMxUNZBXXkV1SS1ZJHceKajleXOsyH8sRx6wnV1gsFlYfKeaN1ZmcsGVohfu4cceQBNqHerEoLY9lBwvQG63uOY1Sjlopp1ZnFPYhk8HY1DDuHZ5E+1Av9uVU8v66LDYcKxXWj+kUyr0jkkgOtb7PK+v1bDtRxuJ9+azPLGn1+CJ83UkO9aJdqBfJoV4kBnsS5a9FZzBxz4L97DpVgUwGU3pHszmrlNyKRoK9NHw7vQ/tQ50dXQCvr8rkw40nkMmseXCXdww9+4uINSPN7u4b1j6IrlF+vLPW6sS7oVcUXaJ8OVZUy+H8ao4W1tDgENhvJz7Qg95x/vSND2BwuyBeW5nJj2m5+GpVLL9nIJF+Wk6V1TN+7hZR4H9rtAvxdBI4E4M9+eKWni7zydoCbWVObSvnKSEhIXGhaCvzals5TwkJCYkLhSR2tUJbv+AczKvitq/3iELTrYJXd8J83Jj6+S7qmoz4uKuEjn0JQR7oDGYhrD7EW8OdQxJICPbk2aVHhNBzO4+PSea2gXGoFHIsFgsnSuvZfaqCJ349dNZj0yit5ZH2d6RKYe1o9/uhIpalW0soX70mlRt6R7vcXmcwcetXe9hxshxfrYofb+/nUnxp1JuY9d1eNh0vFZZN7h3FD7tznca6IszHja5RvsK/1Egf9udU8fCidAqqdchkMGNgHA+Oao+bynVnRbCW9S3el887a48LgqC/h5pp/9fefYdHWaVtAL+nJ5OZZNJ7LwQIIYUO0hEVFxXFVRHXhujiCrpNUT91LbiW1ZVVEdeyVlDBgiIgKEWKQEICBAgppPfeM+39/hgYGDKThJJMJnP/riuXV968M/OcSTiPeXLOcyZE4NrEQLy76xQ+319k9bGfLxqH0RGe2HKsEh/uLjCvCBOLgLkjg7BkWkyXrYQGo2n74StbstGmNUAkMp0eGO2rwqGiehwuaUTVedtYe+vtBSkYGaqBl5u8y5jPPQjhuesTcPu48C6PFwQBbVoDWjr1aGrX4WRlC5Z8ln5RsQDA0hmxWDAuDH7qs728Vu/MwwsbT0AsAj64awymxPn2qlH9GX5qRZf3Z+oQX7xxazLcu1kNN9g5y5zqLOMkIuovzjKvOss4iYj6C4tdNjDhmFbM3P3hAeRUnV2hIhGL8PJNiQjWuOKO9/ejU3+2J5dYBLx7xyiUN3bgzV9yzYUZjVJm2lomFptX3JyhlEuwcHw45qeGIsbPtC2wqrkDc974FdXNnfBTK3DXxEjkVDbjZFUzcipbLF6zJ/EBargppJBLxJBJxZBLxFBIxejUG7H1+NktfH5qBaJ9VWjTGdDYpkVjuw6N7boeV2edoVHKMH2IH2L8VYjzU2NEiIe5Gf35mjp0eO77Y/jiYAkA06qiZ69PwMQeejh16Az4Kq0Eq3fmo6iua5+t3pCKRbghORh/nBZjsW3yjOPlTXh0/RHz9snREZ54Zf7ILquR6lu1OFlpWsF2osL0kVZYf0GxyCQiuEglUMgkqGmxLA7FB6hhFAQYjAIEAejUG9HUoUNrp77X3xOxCAj1UiLSxw0xvioMD3ZHWUOHuaD2xq3JmDsyyOIxm7MqcP8naRAE4KnfDTP/7M16becFje1c90yKxPJrhkIitt5XzVk4y5zqLOMkIuovzjKvOss4iYj6C4tdNjDhmLR06vGXLzKxKcuy+fbj1wxFrL8Kiz46CJ3h7I+Gu4sU353eovjFgWKs3pWP4jrTSi+5VAw/tQIl9e1WXyslTIP5o0JPn0DYjAX/3QejAPzzxhH4/WjTKi2DUUBxXRvyqltQ2tBuPkHyDJlEZBHP5XCmOHauUeGeiAtQ47PTpy26u0jx0k2JuCqh96frbTteiUfXHzE3+587MghPzBlq9SRKANDqjdiTV4Mv00rww+Fyq/e8f+coaPUC7v8kzerXh/irsXB8OK485yRMwFRIe2NbDlbvzIfeKECtkOLvV8fjtjFhEPdQpKlr1eJvX2Vi63HTlseEYHf4qBTYnn12RdzwIHcYjALqWrWob9Ne9u/RuaJ83bB64SiEeSkhl55toJ9b1YIb3tyN5k497p4Yif/73TCLxx0tbcT8VXvRrjNg1jB/jInwwvMbj1t9jXnJwdhwuKzbcbjJJVhxY2KXgpqzcpY51VnGSUTUX5xlXnWWcRIR9RcWu2xgwjlLEAS8tT3PvCLmjMWTozAm0gsPfJpu7hsFAJE+blj3wAR4uclhMArYnFWBd3fl41BRQ69eTyoWYUKMDwprW1FY2waFVIwvFltvVH5u03k3uQRrF49HmLcSf3h/v/n1Fo4Lx+hIL2j1xtMfBuiNAqRiEdp0Bry06ey4/jQ9BpPjfOHhKoPGVQZ3V5l5u11tSyeWrc3ArpwaAMC1iYG4f0o0nvz2qPm1bkoNwZPXDoOHa++2qzW26/DaTyfx0d4CGAVArZDiz1fGYeH4CEjEIrR06rEjuxpbjlXg5xNVFv24onzdTFvmmjrNpzeeTymXwFMph1Qi6nLqYnKYBlPj/NCm1eP7w+Xm7adXDQ/A03OHI8DDetHtXL+cqMJfvzqMmpZOyKViPP274Siub8Pb201N268ZEYBX5yfBVX52y6IgCGjq0KNNq8cHuwuwemc+AFOR7C9XDoFYJDJ9iAGxSASJWASZRAy1ixRqhRQKqQQPrTmEHSeroVZIcVVCAL5MM62SWzw5Co9eHd/ldMralk7ccPpwhTERXvh00VjIzjlJsqCmFVNf2d7jeDcvm4zXt57Ej0dtn7wIAEMD3fHWghSrq+eclbPMqc4yTiKi/uIs86qzjJOIqL+w2GUDE05Xu3Kq8fDaTIstZ1cND8CNqSH40+fp6NCdLXglh2nw2b3jLIocBwvq8NHeQmw6WgGtoetWxL/OHoINmWU2+yJ9cOdoTB3i26WQ0ak34M73TT24fNUKrH9gAvzdXfDAJ2nYdqIKcqkYqxemYuoQP6vP29yhw50fHEBaYT1UCik+vGs0RkV4Wb3XYBTw5i+5+Pe2HBiMAvzdFXhxXiJ+O1WHd3bmQRBgvjYt3vrrWXOkpBFPfHMEmSWN5mtnViWdW0j0USlwdYLpPQ/1dMVPxyrx/eFy/JpbY/V5Zw71x3VJQZg51B/lje3YnFWJLccqbBYeJ8Z445m5wxHlo+p2RVebVo8XNh43n7YY66fCizeOwLs7T5lXAT44LQaPzIqz+Tzv/XoKz35/DADwh/HheHru8C7f2/N16g148LND+OlYJVxkYkyK8TVvR108JQqPXtW10NWhM2DBf39DWmE9Qr1c8c0fJ8JbpUBThw5782qxLq0EW45VWns5sylxvvjj1Gj85atM80pFWxaOC8fjc4Z224fNGTnLnOos4yQi6i/OMq86yziJiPoLi102MOFYV9PSib9+mWk+zQ8A1C5SPHtdAh7/+ojFSXWzhvlj1e2pXXoV1bZ0Yn16qdUtYndOiEBCsAfKG9qxKasCWWVNFl9Xu0gxe3gAxkV5Y1S4J8K9lRCJRGjq0OHmVXtxoqIZkT5uWHvfOHgoZebCiFwixqqFKZge7291XK2detz94QH8dqoOCqkY/7ktBbOGWb8XADKLG/DwFxnmpvt/GB+OWcMC8H/fHjWvsurNKi9BEFBS3469ebXYlVtjbrB/vsWTo3DlcH8EaVyxJasSm45W4LdTtRb9q8ZHeWNOYiAMRgHrD5Wa+24BphVeVw7zx3VJwRgW5I7Hvz5i3nZojYerDEmhGqSEeSIlXIORoRpzc/WM4gY8vDYDp06P8+6Jkbh5dAgeXpuJ4+VNkElEeHFeIm5MDbH5/Oc2o7dVpDpfu9aAxZ+kYefJasglYkT5upkLo3+cGo2/zh7S5TmMRgFL12aY39dHZsWhqV2HtKJ6ZBY32Oz/FejhYu45F+3rhvHR3vj0tyIIguln8NwVduc+5qWbEnFFrG+343BWzjKnOss4iYj6i7PMq84yTiKi/sJilw1MOLYJgoAP9xTgmQ3HLK4/MWcoVu3It1j59ftRoVgxb4TV1T2CIGD510esnm7oo5Jjerwf4vzVOFXTik9/s37aoI9KgdRwDUaFe8FbJceT3xxFq9aAGD8V1tw3Du4uMjz0+SFsyqqATGI6TXL28ACrz9WuNeCPn6bhl+xqiEXAs9cnYMHYricCnnv/iz8ex//2FgIAQr1c8eScYdh/qg7v7T4FQQB81Qo8fs1QXJcUBJFIhOrmThwpbUBmcSMOlzTgcEkjalu1Nl/jXP7uClQ2WTZyTwh2x9UJgZg7MgihXkqLr2VXNOO7zFJ8m1Fms0/a+Chv/PPGRDS0a/Frbg1+zalBWmF9lx5lIpGpif/5r/+/u8egXavHX788jOZOPbzd5Hj79lSMibS+Mk4QBLy8ORtvnd7muGxmLJbOiO2x0NVyuhi5/1QdZBIRPJVy84mHj18zFIsmR5nvNRgFFNW1IbuiCfd/cmEnNd47KRI3jQrB099lYV++6eRKlUKKlk5TcevaxEB8b6Vf2oVuX3VGzjKnOss4iYj6i7PMq84yTiKi/sJilw1MOD3Lr27Bwvf2m3s9AabiS1unwaKH1O3jwvDsdQk2CxrfZpRi6ZoMm6+jOL2d79wCTGq4J46UNFrdDnmuv84eguFB7njtp5PILGmERCzCCzckmBven09vMGL510fMJyU+ND0GD8+K67YYs+NkNR5dd9i8EujqhACkhHnabG5+PqlYhMQQD0yM8cHYSG+oXaQ4XNKAT38rsrqlM9DDBXdPjMRVCQFdClzWtHbq8fDaDKtb9UQiIDlUg+nxfhgf7YMRwR4QiYAT5c1IL6pHelE9DhU19Pr0x3snRWJUhBcCPVzgrZLDR6Uwb+fT6o14dN1hrD9UCgB47Op4LJ4S3eNzNrRpcecHB5BxeqWaUi5B2+kVhHNHBmFUhCeK69pQVNeGorp2FNS0ol1n6OYZu3rs6njcPSkSYpEIf/o8HRuPWPbk8lHJ8cScYVi2NsPiukQswgd3jsbkOK7m6omzzKnOMk4iov7iLPOqs4yTiKi/sNhlAxNO7xiNAt779VSXwo6HqwyN7Trz53dNjMD/XTvMZtFoS1YF7vvY8gTBW8eEYVdOtc1VSX+cGg2J2HT6YkFNK45XNHVpwt6dW0aHwkelgJebHG4KCVxkErjKTP99Z2cedufWAgCCNa547oYEyMRitOsMaOnUoblDj+YOPVo69ahv1SK/uhX7C+p69br+7gpMjPHByBANwr2V0BsEHC1rRFphPTKKGtDc2XWL3LlkEhFuTAnBA1OjEe5tuwF6m1aPz/cX4+3tuahpMa0ei/Jxw7R4PyikYvySXY3j5ZbbRF1kYqSEeWJMpBfGRHohWOOKlzZnW5z+GODugk69AfVtOvSGSiGFXCpG3Xkr2H4/KhSucgnE5/1MCBCgMxjR1mlAdmVzl62sl5NcKsbXf5yA4UEeEAQBT3571NyH7IzrkoIwOdYXf/4y0+L6A1OjsXRGLHtz9ZKzzKnOMk4iov7iLPOqs4yTiKi/sNhlAxPOhalo7MC4Fdu6vee2sWF4/nrbK7wOFNRh/qq95s+DPFywcekVqG7uxJ68WuzNqzU3Pz9fhLcSw4M8EOzpCqNRwMmqFuw8WW313v4W5qW0ujLKRyU3F6HO5SaXIClMgwnRPpgc64vhQe4QiYC9ebVY+XMu9uabinASsQhzRwbh3isiMTzIw/z42pZO/G9vIT7aW4CG0wWpMC8lHp4Vi7kjgy16qJU1tOOX7CrsyK7GgYK6HgtYqxemIre6BW/+nGvuz/aH8eGID3Q3r64qrm9HdVMHalq0Pa68uxTebnKIRKbtpOf2irMm2tcNU+L8kBruif/8kovj5U3wVMrw6b3jMCzIHYIg4LZ3fzO/t4DpPVs6I7ZLkQsAdvx1areFRurKWeZUZxknEVF/cZZ51VnGSUTUXwZtseuHH37AP/7xDxw+fBguLi6YMmUKvvnmm14/ngnn4ny+vwiPrT9i8+sjQzVY/8CELk3rzzhZ2YwrX9tpcW3X36aZt+sZjALu+vDARRWyJsf5ItxLiY/3FVpcnzbEF2KRCO06g+lDazBvmTx1znZMABCLgIkxPlC7SKFSSKFSyKCUSyARi8wfALBqe16PK7TOCNa4YlSEJ0aFeyIl3BND/NWQSsQ27z9YUIeVP+dixznvwZhIL8yI90NBbRvWp5eY4w/3VuL+KdG4KTUEsm6eEzCt0sutbsGz3x/Drhzrpzueb2SoBlfE+CDMW4lADxf4qBTm1XJiEbArpwZ3vL/ffP99k6MQ6eOGNq0B7Vo92rQGWJtYfjlRZfNUzlg/FRQyMQpr2np8j9+4NRnjorzgp3ZBaUM77njvN+RVt1oUuqqbOzH6+a0Wj5ufGoLc6pYup1beOiYUK+Yl9uq9IUuONKdeSv5wpHESETkCR5lX+bsHEdHAMiiLXevWrcOiRYvwwgsvYPr06dDr9Th69ChuvvnmXj8HE87Fa9cacMVLv1g0qj9f9nNXQSG1vv2rvLEdU17abrEq6NslEzEyVAPA1OT8sfVHsOZAMaRiEZ67PgFBGlecqGjCycoW5FQ2I6eqxdzXqbeifd3gKpfARSqBq1wCkUgEQRBwqqa1y1bKMC8l2rR6tHYaLrg/1Pli/VR4aEYsrhkRaLMIaE1mcQPe2ZnXpb8UYCqgPT5nKGYPD+j1c2YUN+DFH4+bG7P7uytwz6RIxPqp8cqW7AvaTigWoctJh3H+KsT4qSCXiCEAEATAKAgQBEBvNKK104CmDh0OlzRe0OuEeSkxPNgDeVUt5gLZTakheOnGRPPBCDmVzbjj/f0ob+xAoIcLPrp7DHzVCry7Kx9v/pJn8ZzJYZouRS4A+OjuMezNdQkcZU691PzhKOMkInIUjjCv8ncPIqKBZ9AVu/R6PSIiIvDMM8/gnnvuuejnYcK5dHvzanHru/tsfv2Xv0xFpI/1rWDtWgMWvvcbDhbWm6+tmDcCt44xNZY3GAX85ctMfH2oFBKxCG/ckow5iYHme41GAaUN7Siub8Ohoga8vDnb4vk9lbJe95zqDZlEBB+VAr5q08omX5UCoV6uCPN2Q2unHv/bU2AuxKgVUtw+PhxSsQgf7S009zaL8FZi8ZRozEsJtlkIPKOmpRNrDxTj8/1FVnuaScQiTBvii5tSQzA93h9yqe1VXcfLm/Cvn07ip9MN7BVSMRZPjsL9U6NR26LFk98exfZs0yqyoYHuWDFvBJRyCQpqWlFY24bCOtN/K09vXTy/N9flMinGB4EeLojwcUO0rxuifFUI91ZCIZXgy4PF+Nu6wxAEUy+2F244ewLowYI63PO/g2hs1yHa1w1vLUjFxiPlWL0zv9eFys8WjcWEaJ8+GZezcIQ59XLkD0cYJxGRIxno8yp/9yAiGph6O69K+zGmS5Keno7S0lKIxWIkJyejoqICSUlJePnll5GQkGDzcZ2dnejsPLsSqamp75piO4vx0d44/o+r8MqWbLz366kuX5/2ynZcMyIAb96W0qWPl6tcgi/vH48VP57A6p35AIDH1h/BtuNVePv2FMgkYrwyfyREANYfKsVDaw5BgIBrE4MAAGKxCKFeSoR6KTEh2gcLxobhnv8dRFphPaRiER69Oh43pYbieHkTblq1Bx060yqymUP9cGNKCDr0BhiNptMKRSJABBEECFi1PR/ZlWe3131w52gkh2ng4Srr9sTGW0aH4qdjlfjXTydxoqIZb2/Pg0Ypw21jw2AwCvjiYDEKatvw2PojeH3rSdw7KQq/HxMKdxeZ+Tk6dAb8fKIKXx8qxfbsKugMpvqzh6sMN6WG4KbUEGSVNeHjfYXILG7A1uNV2Hq8Cp5KGa5LCsbcpCAkhWjMRaBTNa147aeT2HC4DIJgWiU1LyUEy2bGwt/dBf/ddQr/3nYSHToj5BIx7p8ajSXTos2FuDh/dZdxltS3Ycmn6cg8vTprUowP7poYgQ6dEW1aPTp0Z7eIikUiiEWm71V+dSs+3FPQ5fnc5BK8e8coTIixXWj6cPcpPPP9MQiC6eTPf8xNMI9xXVoJHlt/BFqDEUEeLkgN98RNb+/p9RZTLzc53vvDKCSHefbqfnJsF5M/mDuIiJwbf/cgInJsDrOya82aNbj11lsRFhaGf/3rX4iIiMCrr76KLVu24OTJk/Dy8rL6uKeffhrPPPNMl+v868rlkVvVjOXrj9o8sfDhmXG4e1IE1OcUd8746VglFn100OLa3semI9DDFQajgL99dRjr0ksgFgEv3DACt5xe/XW+Dp0Bf/3qMDZklgEAFk+Owt+uiodWb8Rfvso0nzh4bWIgXrwxESqF9Rrv7twaLF2TgZqWTrjKJHj2+gTcmBLcbbHrDKNRwA9HyvHa1pPIrzb1A/NwleHGlBAoZGJ8nV6KiqYOAICrTIK5I4MQF6BGdkUTfjxSYVGkSQrV4PZx4bg2MbDLiYC5Vc34Kq0U69NLUNV89n+kAtxdEOLpioLaVovm+HMSA/HwzDjE+Knwa04Nnv3+mLmoNy7KC8/fMALRvqpux7bxSDkeXXcYTR16uLtI8e9bkzFtiF+3jxEEAV+mleDp77K6bDsdE+GFlbclw9/dxeZj/7kpG6t2mLYhnnvip9Eo4KXNZ792McK9lfjwrjE2Vx/ShXGEv1hfTP5g7iAi6lsDPX/wdw8iooHJYbYxPvroo/jnP//Z7T3Hjx9Heno6FixYgHfeeQf33XcfANNfTkJCQvDcc89h8eLFVh9r7a8roaGhTDiXkSAI+C6zDC9tykZpQ9etdwAwa5g/5iUHY1q8n0UBp6S+DZP++YvFvStvTcbvRgbBYBTwxDdH8Pn+YgDAI7Pi8KfpMVaLT4Ig4PWtOfj3thwAwIx4P/zr5iS4u0rx3q+n8OKPJ6A3CojyccObC1IwNND69766uRMPr83Ar7mmRu5XJwTguesT4K1S9Oq90BuM+DajDCt/zkFBremkRoVUjLkjg6BykeKD3QVWH+flJsfvR4fi+qRgDAnourLK2uv8mluD9eml+O50ke98iydH4d4rolDfpsWKjcfxy+kti55KGZ6YMwzzeijktWsN+Mf3Web3f2SoBitvSUaYt7Lb2BrbdFj+9RH8cKTc4rpYBCyZFoOlM2JtNurXGYz4+1eHsf5QKQDgr7OH4I9ToyESidDUocOST9N73WTfmpEhHnjvztHw6eX3k3pmz19W+jJ/MHcQEfUte+UP/u5BROTYHKbYVV1djdra2m7viYqKwu7duzF9+nTs2rULkyZNMn9t7NixmDlzJp5//vlevd5A/yuSI+vUG/Dx3kL8c9MJ81a886kUUkyL98PMoX6YEucLjVIOrd6IxR8fNBdjAFMz8c8XjYNCKsarW07iP7/kAgAWjgvH03OH22zO/m1GKf761WFo9UaEerni7QWpSAj2QFphPR78LB3ljR1QSMV44tphuH1smNVij8Eo4O3tuXh9aw70RgHebnI8f8MIXJUQ0Ov3wmAUsDmrAsu/PoKGXvQQU8oluDohEDckB2N8tHePzefbtQZ8l1mKj/YWXlCD+RuSg/F/1w6Dp5u82/uOlDTi4S8ykFvVApEIuH9KNB6ZFdfjyY9782rxyBcZKG/ssLge7q3Ev25OQmq47W2DjW06PPi5qZglEYvw4rwRmD8qFIIg4LP9RXj866O9HqdYBMxJDEJ1c4e5Mf/1SUFYMS8RrvLu+6bRhbHnnNqf+YO5g4jo8rLXvMrfPYiIHJvD9Ozy9fWFr2/PJ6GlpqZCoVAgOzvbnHB0Oh0KCgoQHh7e12FSLyikEtx7RRTmp4Zi1c48vL2961azlk49NmSWYUNmGcQiYFS4F6YM8cWSaTG4eVQoHvg0HQBwqKgB8U9uwpf3j8dfZg+Bj0qOZ74/ho/3FaK8sQOv35JkdTvidUnBiPJR4YFP01Bc1455b+/BM3OH45bRofjhoSvwyBcZ2J5djSe/OYqtxyrx0k2JXbbTScQiPDg9FlOH+OHPX2Qiu7IZ93+ShhuSg/HU74ZBo7ReKBIEAWWNHThwqg67c2uwJ6+220LXgrFhkIhF+CW7CsV17ViXXoJ16SXwd1fgd4lBuHJ4AFLDPS0KX/nVLfhkXxG+SitGU4dp66OLTIxbRofhnkmRCPRwwcajFXjo80NWX/PrQ6XILGlAcqgnksM0SArVIMZPZV5t16Ez4I1tOXhnZz4MRgF+agVe+30SJnbTWwswfV9f2nQCH+8rxPnl81vHhOGJOUPhZmP7KADkVrVg0UcHcaqmFa4yCd5ckAy9QcDEF3+2uVrQlhtTQnDlcH/8e2sOjpU3QSwCll8zFPdMiuzVllRyHMwfRER0oZg7iIicg91Xdl2IZcuW4auvvsL777+P8PBwvPzyy9iwYQNOnDgBT8/eNZrmX1f6T0ObFos+OogDBfU93wxT0SbKR4Vj5ZYrlVLCNPhs0ThsPV6JR77IhFZvRJy/Cv+9Y7TNLXWNbTo88kUGtp2oAgBclxSEf1yXALVCig/2FOCfm05AqzdCo5ThuesTzA3wz9epN+D1rTl4Z0cejIJpu+Hya4bixpRgNHXokVXWiIziBmQUNSCjuMGijxZgOs0xOcwTk2J8EOOnwqGienyZVmIugknEIlwR64NwLyWaO/XYdrzKfIojYNpyODbSG3qjEdXNneYG8QAQ5qXE7ePCMD81FJ5uclQ1d+CdHfn49LdCc2P+MC8lpsT5olNvwIGCepyqae0yRrEICD99uuS58Y+J8MJbt6f0uOXv5xOVePzro11Wc4V4uuL5G0ZgSpzt/6Hs0Bnw+f4iPLPhWLevca5xUV44WtqElvOa0d8+LgwPTI3B7pwaPPVdFtp1Bni5yfHGLcmYFMsTF/uKo8ypl5o/HGWcRESOwhHmVf7uQUQ08DjMNsYLodPp8Nhjj+Hjjz9Ge3s7xo4di9dffx3Dhw/v9XMw4fS/nMpmzHptp82vx/qpUNeqRW2r1uY9gOlExXFR3uZtkp5KGd5akIrx0d5W7zcaBbyzMx8vbz4BowAEebjglfkjMSHGBzmVzXjki0wcKTUVj+aMCMRTvxsGv/NWeRmMAiqbOrAhswwrfjzR41glYhGGBqoxMdoHE2J8MDrCE0q55YqmDp0BPxwuxye/FeJQUYP5uptcgulD/eHuIkVtixabsipsvs4DU6OxdEYsXGQS5Fa14MM9p/DlwRLziYhJoRosnRmLqXG+FquZ6lu1yChuwKGieqQXNeBoWWO3q8/kEjGCNC4I9HCFp5sMGqUcnkoZPJVydOgMeGXLSauPi/BW4sHpsZBJRGju0KOxXWf6aNOhrk2LisYOlNS3ob4XWzwBU9Hv5lGh2Jdfa1HwA0xFtQ0PToIA4Mlvj5oPJJgY443Xbk7q8j2ly8tR5tRLzR+OMk4iIkfhCPMqf/cgIhp4BmWx63JgwrEPg1HAqh15eHlzts177pwQgWhfN6QXNeBIaSNyq1p6/fwPTI2Gt5sc7i4yqFykULtIoVJIIZOIkVnSYNHvaXyUNx6aEQu90YhXNmdbFE/kEjFmJwSgprkTJQ1tKG/ogN7Y/T+RK2J9MDnWF0lhGiQEeVxQT6i86hZ8e6gUX2eUorjuwrbrWZMcpsGymXGYHOvT45Y9o1HAV2kl+Nu6wxbX4/xVaO00oLyxHT0MvV94u8nR2K6z+n347sGJGBHsgR+OlOOpb7NQ26qFVCzCn68cgsWToyDuofcZXTpnmVOdZZxERP3FWeZVZxknEVF/cZieXeQcJGIRlkyLwdQhvnh4bQZOVnYtZH24pwAA4KOS4183JyEpTIOcyma8vjWnxxP4rPUHs2Vvfi325ltvTKo1GLHhvNMNpWIRgjSuCPNSItZfBTe5FJ/tL0Ld6ZVoWWVNmDnUH0mhmh4buJ9PIRUjSOOKYYHu3Ra7xkd5I8xLifo2LbYcq7R5X2FtG1bvzMPPxysR46dCtJ8KMX4q+KoUFsWvwyUN+L9vs5BR3AAAiPZ1w9Nzh+OK2LNbDnUGIyoaO1Da0I7Kpg7Ut2rxxcGSLttMzzXEXw2RCChtaEdzh97mfedbNjMWOoMRb/7S9ftobcXfnBGBWHHjCLRrDbj/kzRszqo0v/5LNyViZKim169NREREREREgwtXdlG/69Qb8M6OfPzn51xoDcZu7x0a6I4FY8MwIdob7+zIx9qDxd3er1JIER+gRnOHHi2deugMRhgFwCgIMBgFi35YZ0T5uiHKxw1bj1dZXI8PUOOV+SMxNNDd6umI245X4oWNx5FXbeqDFeXjhr9fHY8rh/nbXFVV29KJg4X1+DWnBr/m1nTpoRWsccWsYf4I8HBBXasWW49XIr+6a5+tc42J9EK71oATFU02T8E8U1Tr1BlQdl5vrVHhnlg2Mw4apQxyqRgyiRhSsQgyiRgiEaDVG7EzpxovbjyB5k7rBazJcb5obNehrKEd1ef1LevOf25LRkl9O160sUV0iL8aRXVtaNcZAADuLlL847oEXDMiEB/sPoU3tuWgVWuA9HQxdcm0GMilF1ZwpEvjLHOqs4yTiKi/OMu86izjJCLqL9zGaAMTzsCRV92Cx9Yfwf5Tdb26X+0iRUqYJ3acrLZ5j0gELLoiCo/MijOfMHi+pg4dXtmcbT45UKOU4W+z4/H70aGobOrAs98fw49HK8yvuXRGLO4YH2G1iKI3GPH5gWK8/tNJ8wqkEcEeWDYzFhNjfJBb1YKM4gakF9YjvageBbVtFo+XiEVICtVgUowPZg3zx/Agd4hEIugMRvyWX4eNR8vx2W9F3b4vcokYw4LcMTzI9PMsFolMq6vq25FX3YKiurZ+347oJpeYV5bF+qnRfvqUx3NJxSKrWxNTwz3xu8RAuLvK8Pb2POSc3s46bYgvXrwxEcfKm/DshmPIP10oTArVYMW8ERgayH/P9uAsc6qzjJOIqL84y7zqLOMkIuovLHbZwIQzsBiNAr7JKMVLm7JR0WRacTQyxAPDgjzww+EyNF3AVrhzRfu64dWbk5DUzXa29KJ6LF9/BCcqmgGYVhE9PmcoJsf5Yl9+Lf6x4Zh5y16YlxLLZsbiuqTgLqu82rUGHCtvwvL1R5Bd2dxjbDF+KoyP8sakWB+Mj/aGu4sMANDcocPevFpsO16FLccqLJq3e7nJMS85GPNSQtCpN2BPXi0OFZkazVvb5icSAeFeSri7ynD4vIbugOmkxUCNy9nG8e06tHSYVsLpDYLNFVxn+KoVSA7VQHO6WX2Ah6mJvVIugUEQ0NqpR2l9O3KqWvBVWkmP7wkALL8mHn+YEIHGNh1e/PEE1h8qBWDq2fXYNUMR6eOGVzZnm7eg+qgUePTqeMxLDmZvLjtyljnVWcZJRNRfnGVedZZxEhH1Fxa7bGDCGZjatHqs3pmPd3bkm7esTYzxxoKx4Sipb8PH+wovuoH73RMjEerlCm+VAt5ucrgppFDKJXCVSSCTiLHmQBH+vS0HZ/4lJIVq8MisOARpXPDR3kJ8tLfQ4vl81QqMifBCZVMHiuraUNWLbXuBHi54Zu5wjI30hofSVNzSGYzIKmvCrpPV2JVTg/SieouVTt5uclw5PADXjAjAuChvq/3ABEFAcV070ovqkVnSgOyKZmRXNPd4sqWrTAIftRw+KgV8VAqoFVIoZGLsyK7uss3xXLOG+SPCW4k2rQFtWsPpUzQ7UdeiRU2rFlp999tSz6d2kWL5NUNx86hQtOsMWL0jD+/uOoV2nQEiEbBgbBjmjAjCe7/mm7eZyiVi/GFCOB6aEQv16UIh2Y+zzKnOMk4iov7iLPOqs4yTiKi/sNhlAxPOwFbe2I7//JyLLw4Wm/tPTYrxwX2ToxDi6YqfjlViy7FKpBXW2zlSS2oXKcK9lYj0UWFooBr+ahf8mluDLVkVaNUazPclhnhgaIA7CmpbkVnSgA6dZXEo0scNU+J8MXt4AEZHeEJ6AQ3vBUHA3vxafLy30LwN8wwXmRgR3m4ormuziKe/TBviC51BwK+5poMG5BIx7poUgSXTYqCQirFmfzHe2JZjLtIlh2lw1fAA7M2vxfZs07ZVsQiYnxqKh2bGIljj2u9jIOucZU51lnESEfUXZ5lXnWWcRET9hcUuG5hwHENJfRve/CUXXx4sMa92GuKvxj1XROK6pCA0tuuw62QNdufVYE9urXkLZG8Ea1zRrjOgTavvUmyyRSYRITFEY7XI9tCMWCyeHAU3hRQGo4DKpg6U1LfjVE0LDhTUd7uNT62QYkKMN66I9cWUOF+Eeil7PY4zWjr1WJ9ego/3Fpr7WwHAjHg//HFaNFLDvczXBEFAq9aAyqYOfHuoFG/8nNvtc0+J84WXmxyCIEAmEcNVLjF9yCRQyiXwVMrhrZLDy00BN7kE32SU4sPdBWjVGiAWAcOC3KFSSLEv39SXTSIWYV5yMB6aEQsflQKf7y/C6p355u9fiKcrkkI1KK5vR+bpkyLFIuCaEYF4eFYcon1VF/z+UN9yljnVWcZJRNRfnGVedZZxEhH1Fxa7bGDCcSzFdW14f/cprD1QjLbTK5LO9K/6/ehQxPqrIQgC8mta8Vt+HTKLG5BZ0mDuw9WdCdHeCPBwgUohhcZVBg+lHB6uMijlEhTUtuLt7XloPq9n2LyUYAwP8sCqHXkXdOqgLcEaV9wyOhTXJwdfUKHLaBSwL78W69JLselouXm1llIuwQ3JwbhjfASGBKgtHiMIAtKLGvDlwWKsOWD9VMuxkV6494ooTI/3s3oCpTUGo4D16SV4ZUs2KpvOvidyqdi8rVEkAq4bGYSlM+OgcZXhs/1FeP/XUxbbLd1dpBCLRWg43atMLhVjfmoIFl0RhQgft16/N9S/nGVOdZZxEhH1F2eZV51lnERE/YXFLhuYcBxTY7sOa/YX4cM9BSg/p6dUSpgGN6WG4qqEAHi5yc3XWzv1yCprwsnKZry+9SRqWrrvYdUXxkZ6YXiQB+ID1BgSoEasvwpKuRRHSxvxxcFifH2o1KKYNjJUg98lBuKaEYEIsrJNTxAEHCtvwobMcnybUWrxPkT5uuGOceGYlxpibngPmPqCHThVh28zyrD2oPUCFwD85co4XJd0YQU3g1HAD0fKsXJbjsWKsnPJJWLMSwnGvVdEoVNvwP/2FODbjDJ0dtPby0+twC2jQ7FwfAR81Ypex0P24SxzqrOMk4iovzjLvOos4yQi6i8sdtnAhOPY9AYjdpysxpoDxfj5RBUMp7c4SsQiTIj2xrWJgZg1zLLwdUaHzoCr/70Lp2pau30NkQhIDPaAziBAbzTCYBRQ06JFY7vO6v0z4v3gIpdgR3Y1Ws45xdDLTY5rEwNxfXIwkkM1EIm6nuK4KascXx4swb78WpzTmx7JYRpMH+KHyXG+aNXqTb3KsipR2nC2Sb+7ixRzEoNwY0owUsM9zc9fXNeGPXk1WPlzLkrqbTf1XzA2DDelhiDJSmzdMRgFfH+4DCt/zkWujSKXu4sUC8eHY15KCA6cqsNXaSU42EOftStifbBgbBhmDPW32oyfBiZnmVOdZZxERP3FWeZVZxknEVF/YbHLBiacwaOqqQPrD5ViQ2YZssqazNdFIiAxRIMpcaY+WEmhGosteYIg4JN9hXjy26weX2NMhBfumhiBWcP8IZWI0dKpx1cHi/H5/mJkV57dKhnq5Yo5I4KQFOqBI6WNWHugBDUtZ7f0hXsr8bvEIFw53B8jgj26FJeqmjuw6WgFvs8sx/6Cum5junKYP65PDsb0eD9IxSLkVLVgb14t3t2Vb7Hay5o7J0Tg+uRgJAZ7QNzLbYpnNHfo8OXBEnyw55TNkzGTwzSYnxoKT6UMG49W4Mcj5RYnTJ5viL8ac5OCMHdk0EX1KyP7c5Y51VnGSUTUX5xlXnWWcRIR9RcWu2xgwhmcCmpa8cORcmw8Um5R+AJMTeCTwjQYFe6FURGeGBmqgep0M/lNRyvw6k/ZyK/ufrXXuZLDNLg2MQjBGlfszKnGhowyNJ+zoivMS4krh/nDVS5BQW0bth2vNPcbA4AAdxfMHOaHmUNNha+86lZkFjcgo7gBaYX1F9Rsvyf+7go8OC0Gk+N8Ee59cX2vCmpa8d6vp/DxvkKrX/dyk2PqEF8EuLsgq6wJO05Wd/t8wwLdMWOoH65NDOrSV4wcj7PMqc4yTiKi/uIs86qzjJOIqL+w2GUDE87gV9nUgR0nq7HjZDV2naxG03lN5gHTSitTLy13DPFXI6+6BRuPlPeqsf2F8naTwyAI5sbrfW2Ivxq3jw/HtSMC4WllO2dvtGn1eH1rDlbvzL/keNxdpBgT6Y3p8X6YFu+LQI+u/cjIcTnLnOos4yQi6i/OMq86yziJiPoLi102MOE4F4NRQHZFM9IK63CwsB4HC+ot+l4NdmqFFL7uCvipFfBTu8BHpYBKIYGbQgqlQgqVQgKJWIyGNi0OFTXg60Oll+V1rxoegHFRXhgT6Y0hAepen+xIjsdZ5lRnGScRUX9xlnnVWcZJRNRfejuvSvsxJqJ+JxGLMCzIHcOC3LFwfAQAoLalE9kVzThe0YwT5U3IqWpBSX2bXU5svBBqhRSzEwIwJsILIV6uCNEoEeDhgoY2LbLKmnC8ogkFNa0oqGnDqdpWVDd3orlTj+Zq/QVt07wYC8eF4+qEAAwLcodGeXGryYiIiIiIiIguBxa7yOl4qxSYEKPAhBgfi+ttWj1K6tvNha/6Vi3qWrXYl1+LzJLGbp/T3UWKiTE+8HSTw91FBndXKXzcFAjwcIGXmxwerjJ06o3Ym1+LQ4X1yChpuOACVHOnHl+lleCrtJILHvPlEunjhplD/TAnMeiimtwTERERERER9TUWu4hOU8qliPNXI87fetN0o1HA4dJGbM6qwOasCotiVVOHHr/m1CA1whO+IQoMDXBHYogHvFUKi+eI8VNh4bhw8+cNbVqcqGhGdkUzsiubUVzXhuK6NpQ2tENn6P8dxr5qBUI9XRGkcUWMnwqxfmrE+qsQ4e0GuVTc7/EQERERERERXSgWu4h6SSwWISlUg6RQDf5+VTzyq1uwO7cGu3NrsSevBk0demzPrsb27LOnEQZ6uCDGT2X+iPJRIVjjCn8PBRRSCTRKOcZFeWNclLfFaxmMAiqbOlDd3Im6Vi1qW7Woa+1EU7senXoDOnRGdOgMqDh9T3ZlMy60+15KmAZzRwYhOcwTXm5yBHi4QCZhQYuIiIiIiIgcG4tdRBcpyleFKF8VFo6PgMEo4FhZEw4V1yOjuAGZxQ3Iq25FeWMHyhs7sCunpsvjvU8XmDRKmWnro4sMahcp5FIxJGIRxCIRpGIR9EYBHXoDOk8XuJo79ahr0Z4ugpmKYd0VusK8lEgM8cDoCC+khnsiPkANKYtaRERERERENEix2EV0GUjEIowI8cCIEA/cMd50ralDh5MVzcitajF9VLegsLYNZQ3t6NQbUXt6xdbloJCKEealRKiXEmFeSsT6qxAf4I4hAWqoFPxnTkRERERERM6DvwUT9RF3FxlGRXhhVISXxXVBENDQpkNZYzuqmjrR1KFDU7sOTR16NLXroDUYYTQKMAgCDEYBErEILlIJXGQSuMjEUMql8FbJ4e2mgJebHD5qOXxVCohEbBZPRERERERExGIXUT8TiUTwdJPD002O4UH2joaIiIiIiIhocGHjHiIiIiIiIiIiGjRY7CIiIiIiIiIiokGDxS4iIiIiIiIiIho0WOwiIiIiIiIiIqJBg8UuIiIiIiIiIiIaNFjsIiIiIiIiIiKiQYPFLiIiIiIiIiIiGjRY7CIiIiIiIiIiokGDxS4iIiIiIiIiIho0WOwiIiIiIiIiIqJBg8UuIiIiIiIiIiIaNFjsIiIiIiIiIiKiQYPFLiIiIiIiIiIiGjSk9g6gvwmCAABoamqycyRERI7vzFx6Zm4drJg7iIguL+YPIiK6GL3NH05X7GpubgYAhIaG2jkSIqLBo7m5GR4eHvYOo88wdxAR9Q3mDyIiuhg95Q+RMNj/nHIeo9GIsrIyqNVqiEQie4fTRVNTE0JDQ1FcXAx3d3d7h9Mjxtt3HClWgPH2pYEcqyAIaG5uRlBQEMTiwbszfqDnDmBg/5xY40jxOlKsAOPtS44UKzCw42X+GBgG8s+INYy37zhSrIBjxetIsQIDP97e5g+nW9klFosREhJi7zB65O7uPiB/sGxhvH3HkWIFGG9fGqixDua/yJ/hKLkDGLg/J7Y4UryOFCvAePuSI8UKDNx4mT8GjoH6M2IL4+07jhQr4FjxOlKswMCOtzf5Y/D+GYWIiIiIiIiIiJwOi11ERERERERERDRosNg1wCgUCjz11FNQKBT2DqVXGG/fcaRYAcbblxwpVrIfR/s5caR4HSlWgPH2JUeKFXC8eKn/OdrPCOPtO44UK+BY8TpSrIDjxWuL0zWoJyIiIiIiIiKiwYsru4iIiIiIiIiIaNBgsYuIiIiIiIiIiAYNFruIiIiIiIiIiGjQYLGLiIiIiIiIiIgGDRa7BrgffvgBY8eOhaurKzw9PXH99dfbO6QedXZ2IikpCSKRCBkZGfYOx6qCggLcc889iIyMhKurK6Kjo/HUU09Bq9XaOzSzN998ExEREXBxccHYsWOxf/9+e4dk1YoVKzB69Gio1Wr4+fnh+uuvR3Z2tr3D6pUXX3wRIpEIy5Yts3coNpWWluL222+Ht7c3XF1dMWLECBw8eNDeYZEDYP7oGwM9fzB39A/mDxrMHC1/MHdcHo6QP5g7+t5gyh0sdg1g69atw8KFC3HXXXchMzMTu3fvxm233WbvsHr0t7/9DUFBQfYOo1snTpyA0WjEO++8g6ysLLz22mtYtWoVli9fbu/QAABr167FI488gqeeegrp6ekYOXIkZs+ejaqqKnuH1sWOHTuwZMkS7Nu3Dz/99BN0Oh2uvPJKtLa22ju0bh04cADvvPMOEhMT7R2KTfX19Zg4cSJkMhl+/PFHHDt2DK+++io8PT3tHRoNcMwffWcg5w/mjv7B/EGDmSPmD+aOS+co+YO5o28Nutwh0ICk0+mE4OBg4b///a+9Q7kgGzduFOLj44WsrCwBgHDo0CF7h9RrL730khAZGWnvMARBEIQxY8YIS5YsMX9uMBiEoKAgYcWKFXaMqneqqqoEAMKOHTvsHYpNzc3NQmxsrPDTTz8JU6ZMEZYuXWrvkKz6+9//LkyaNMneYZCDYf7ofwMlfzB39D3mDxrMHDF/MHdcHo6aP5g7Lq/Blju4smuASk9PR2lpKcRiMZKTkxEYGIirr74aR48etXdoNlVWVmLRokX4+OOPoVQq7R3OBWtsbISXl5e9w4BWq0VaWhpmzpxpviYWizFz5kzs3bvXjpH1TmNjIwAMiPfSliVLlmDOnDkW7/FA9N1332HUqFGYP38+/Pz8kJycjHfffdfeYdEAx/zR/wZC/mDu6B/MHzSYOVr+YO64PBw5fzB3XF6DLXew2DVA5efnAwCefvppPPHEE/j+++/h6emJqVOnoq6uzs7RdSUIAu68807cf//9GDVqlL3DuWC5ublYuXIlFi9ebO9QUFNTA4PBAH9/f4vr/v7+qKiosFNUvWM0GrFs2TJMnDgRCQkJ9g7HqjVr1iA9PR0rVqywdyg9ys/Px9tvv43Y2Fhs3rwZDzzwAB566CH873//s3doNIAxf/SvgZI/mDv6HvMHDXaOlD+YOy4fR80fzB2X32DLHSx29bNHH30UIpGo248ze7oB4PHHH8eNN96I1NRUfPDBBxCJRPjyyy8HXLwrV65Ec3MzHnvssX6L7VLiPVdpaSmuuuoqzJ8/H4sWLbJT5IPDkiVLcPToUaxZs8beoVhVXFyMpUuX4tNPP4WLi4u9w+mR0WhESkoKXnjhBSQnJ+O+++7DokWLsGrVKnuHRnbA/DEw4j0X88flMdBzB8D8QY7NkfIHcwf1FnPH5TfYcofU3gE4mz//+c+48847u70nKioK5eXlAIBhw4aZrysUCkRFRaGoqKgvQ7TQ23h//vln7N27FwqFwuJro0aNwoIFC/qtGtzbeM8oKyvDtGnTMGHCBKxevbqPo+sdHx8fSCQSVFZWWlyvrKxEQECAnaLq2YMPPojvv/8eO3fuREhIiL3DsSotLQ1VVVVISUkxXzMYDNi5cyf+85//oLOzExKJxI4RWgoMDLSYAwBg6NChWLdunZ0iInti/uhbjp4/mDv6FvMHOTJHyh/MHf3PEfMHc0ffGGy5g8Wufubr6wtfX98e70tNTYVCoUB2djYmTZoEANDpdCgoKEB4eHhfh2nW23jfeOMNPPfcc+bPy8rKMHv2bKxduxZjx47tyxAt9DZewPRXlWnTppn/aiUWD4yFjnK5HKmpqdi2bZv5qGej0Yht27bhwQcftG9wVgiCgD/96U/4+uuvsX37dkRGRto7JJtmzJiBI0eOWFy76667EB8fj7///e8DKtkAwMSJE7scp3zy5Ml+nQNo4GD+6FuOnj+YO/oW8wc5MkfKH8wd/c+R8gdzR98adLnDnt3xqXtLly4VgoODhc2bNwsnTpwQ7rnnHsHPz0+oq6uzd2g9OnXq1IA+EaWkpESIiYkRZsyYIZSUlAjl5eXmj4FgzZo1gkKhED788EPh2LFjwn333SdoNBqhoqLC3qF18cADDwgeHh7C9u3bLd7HtrY2e4fWKwP5RJT9+/cLUqlUeP7554WcnBzh008/FZRKpfDJJ5/YOzQa4Jg/+s5Azh/MHf2L+YMGI0fNH8wdl8ZR8gdzR98abLmDxa4BTKvVCn/+858FPz8/Qa1WCzNnzhSOHj1q77B6ZaAnnA8++EAAYPVjoFi5cqUQFhYmyOVyYcyYMcK+ffvsHZJVtt7HDz74wN6h9cpATjiCIAgbNmwQEhISBIVCIcTHxwurV6+2d0jkAJg/+s5Azx/MHf2H+YMGI0fNH8wdl84R8gdzR98bTLlDJAiC0FerxoiIiIiIiIiIiPrTwNgoTEREREREREREdBmw2EVERERERERERIMGi11ERERERERERDRosNhFRERERERERESDBotdREREREREREQ0aLDYRUREREREREREgwaLXURERERERERENGiw2EVERERERERERIMGi11ERERERERERDRosNhFRERERERERESDBotdRERERERERE4oJCQEb731lsW1PXv2QKlUorCw0E5REV06FruIBpDPP/8crq6uKC8vN1+76667kJiYiMbGRjtGRkREAxnzBxERXYyxY8fiwIED5s8FQcCyZcvw8MMPIzw83I6REV0aFruIBpBbbrkFcXFxeOGFFwAATz31FLZu3Yoff/wRHh4edo6OiIgGKuYPIiK6GOPGjbModn388ccoLi7GY489ZseoiC6d1N4BENFZIpEIzz//PG666SYEBARg5cqV2LVrF4KDg+0dGhERDWDMH0REdDHGjRuHRx99FC0tLRCJRFi+fDmee+45qFQqe4dGdElEgiAI9g6CiCylpKQgKysLW7ZswZQpU+wdDhEROQjmDyIiuhBtbW3w8PDAtm3bsHXrVmzYsAFpaWkQi7kJjBwbV3YRDTCbNm3CiRMnYDAY4O/vb+9wiIjIQTB/EBHRhVIqlRgxYgTWrVuHd999Fxs3bmShiwYF/hQTDSDp6em4+eab8d5772HGjBl48skn7R0SERE5AOYPIiK6WOPGjcPKlSsxe/ZsTJ061d7hEF0WXNlFNEAUFBRgzpw5WL58OW699VZERUVh/PjxSE9PR0pKir3DIyKiAYr5g4iILsXIkSMhk8nw8ssv2zsUosuGPbuIBoC6ujpMmDABU6dOxapVq8zX58yZA4PBgE2bNtkxOiIiGqiYP4iI6FJNmzYNKSkpePXVV+0dCtFlw2IXERERERERkRMxGo2orq7Ge++9h7feegvHjh2Du7u7vcMiumy4jZGIiIiIiIjIiezcuRPTp09HfHw81q1bx0IXDTpc2UVERERERERERIMGT2MkIiIiIiIiIqJBg8UuIiIiIiIiIiIaNFjsIiIiIiIiIiKiQYPFLiIiIiIiIiIiGjRY7CIiIiIiIiIiokGDxS4iIiIiIiIiIho0WOwiIiIiIiIiIqJBg8UuIiIiIiIiIiIaNFjsIiIiIiIiIiKiQYPFLiIiIiIiIiIiGjT+H/kMKc0hzb74AAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "orbit_flat = pot_flat.integrate_orbit(w0, dt=1.0, n_steps=5000)\n", "_ = orbit_flat.plot()" ] } ], "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": "3.12.10" } }, "nbformat": 4, "nbformat_minor": 5 }