{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Thermal beam generation\n", "\n", "Here we use ``atomsmltr`` for a rather simple example: illustrate the generation of a thermal beam of atoms using a collimation tube." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Context\n", "\n", "\n", "We start from an oven containing a gas of atoms of mass $m$ with a temperature $T$. According to Boltzmann's law, the probability distribution for each component $(v_x, v_y, v_z)$ of the speed is given by :\n", "\n", "$$\n", "f_\\mathrm{Btz,i}(v_i) = \\left(\\frac{m}{2\\pi k_B T}\\right)^{1/2} \\exp\\left( -\\frac{m v_i^2}{2k_B T}\\right),\n", "$$\n", "\n", "that is a normal distribution with $\\sigma = \\sqrt{k_B T / m}$. The oven has a single cylinder-shaped opening, with a radius $r$ and a length $L$, that will collimate the beam.\n", "\n", "In the following, we will also use Boltzmann's speed norm distribution $f_\\mathrm{Btz, norm}(v) \\equiv P_\\mathrm{Btz}(|\\vec{v}| = v)$, given by :\n", "\n", "$$\n", "f_\\mathrm{Btz, norm}(v) = 4\\pi\\left(\\frac{m}{2\\pi k_B T}\\right)^{3/2} v^2 \\exp\\left(-\\frac{m v^2}{2 k_B T}\\right)\n", "$$\n", "\n", "Finally, when collimating a beam with a tube of diameter $d$ and of length $L$, we expect the following axial velocity distribution (TODO : compute good normalization) :\n", "\n", "$$\n", "f_\\mathrm{coll, ax}(v) \\sim \\left( \\frac{m}{2\\pi k_B T} \\right)^{1/2} \\exp\\left(-\\frac{m v^2}{2 k_B T} \\right) \\left \\{ 1 - \\exp\\left(- \\frac{m v^2}{2 k_B T} \\frac{d^2}{L^2}\\right) \\right\\}\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Simulation\n", "\n", "We will simulate this situation using zones to select atoms that can exit the oven through the tube. This way of solving the problem is arguably overkill, but why not ?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Imports" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# -- atomsmtlr imports\n", "from atomsmltr.simulation import Configuration, RK4\n", "from atomsmltr.atoms import Ytterbium\n", "from atomsmltr.environment import Box, Cylinder, Limits, LowerLimit\n", "\n", "# -- other imports\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import scipy.constants as csts\n", "from IPython.display import display, clear_output\n", "from scipy.stats import norm" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Generate a thermal distribution\n", "\n", "Let's start by defining some functions to generate thermal distributions" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# %% 1D DISTRIBUTION\n", "\n", "\n", "# - functions\n", "def gen_1D_speed_distrib(N, T, m):\n", " \"\"\"Generates a 1D thermal speed distribution,\n", " with N samples, a temperature T (K) and a mass m (kg)\n", " \"\"\"\n", " rng = np.random.default_rng()\n", " sigma = np.sqrt(csts.k * T / m)\n", " v = rng.normal(0, sigma, N)\n", " return v\n", "\n", "\n", "def f_Btz(v, T, m):\n", " \"\"\"Boltzmann distribution for speed v (m/s)\n", " temperature T (K) and mass m (kg)\n", " \"\"\"\n", " prefac = np.sqrt(m / 2 / np.pi / csts.k / T)\n", " exp = np.exp(-m * v**2 / 2 / csts.k / T)\n", " return prefac * exp\n", "\n", "# - test\n", "# settings\n", "T = 400\n", "m = Ytterbium().mass\n", "N = 10_000\n", "# generate\n", "v = gen_1D_speed_distrib(N, T, m)\n", "v_list = np.linspace(-500, 500, 1000)\n", "# plot\n", "plt.figure(figsize=(6, 3.5), tight_layout=True)\n", "plt.hist(v, bins=50, density=True)\n", "plt.plot(v_list, f_Btz(v_list, T, m))\n", "plt.grid()\n", "plt.xlabel(\"v (m/s)\")\n", "plt.ylabel(\"P(v)\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# %% 3D DISTRIBUTION\n", "\n", "\n", "# - functions\n", "def gen_3D_speed_distrib(N, T, m):\n", " \"\"\"Generates a 3D thermal speed distribution,\n", " with N samples, a temperature T (K) and a mass m (kg).\n", "\n", " Returns an array of shape (N, 3), according to our\n", " spatial coordinate conventions.\n", " \"\"\"\n", " vx = gen_1D_speed_distrib(N, T, m)\n", " vy = gen_1D_speed_distrib(N, T, m)\n", " vz = gen_1D_speed_distrib(N, T, m)\n", " v = np.array([vx, vy, vz]).T\n", " return v\n", "\n", "\n", "def f_Btz_norm(v, T, m):\n", " \"\"\"Boltzmann norm distribution in 3D, for speed norm v (m/s)\n", " temperature T (K) and mass m (kg)\n", " \"\"\"\n", " prefac = 4 * np.pi * (m / 2 / np.pi / csts.k / T) ** (3 / 2)\n", " exp = np.exp(-m * v**2 / 2 / csts.k / T)\n", " return prefac * v**2 * exp\n", "\n", "\n", "# - test\n", "# settings\n", "T = 400\n", "m = Ytterbium().mass\n", "N = 10_000\n", "# generate\n", "v = gen_3D_speed_distrib(N, T, m)\n", "# compute norm\n", "v_norm = np.linalg.norm(v, axis=-1)\n", "v_list = np.linspace(0, 500, 1000)\n", "# plot\n", "plt.figure(figsize=(6, 3.5), tight_layout=True)\n", "plt.hist(v_norm, bins=50, density=True)\n", "plt.plot(v_list, f_Btz_norm(v_list, T, m))\n", "plt.grid()\n", "plt.xlabel(\"v (m/s)\")\n", "plt.ylabel(\"P(v)\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Define configuration with zones\n", "\n", "We will define an experiment zone consisting of :\n", "\n", "* an oven : a box of dimensions Lx × Ly × Lz\n", "* a collimation tube : cylinder of radius r and lenght l, along z\n", "* a tube end zone : at the end of the tube, to check if atoms are transmitted." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "───────────────────────\n", "| AND Zone Collection |\n", "───────────────────────\n", ". Parameters :\n", " ├── type : AND Zone Collection\n", " ├── tag : tube\n", " ├── in_tag\n", " ├── out_tag\n", " ├── target : position\n", " ├── action : stop\n", " ├── zones : ['tube cylinder', 'tube limits']\n", " └── inverted : False\n", "\n", "\n", "──────────\n", "| 3D Box |\n", "──────────\n", ". Parameters :\n", " ├── type : 3D Box\n", " ├── tag : oven\n", " ├── in_tag\n", " ├── out_tag : oven\n", " ├── target : position\n", " ├── action : stop\n", " ├── xmin, xmax : (-0.05, 0.05)\n", " ├── ymin, ymax : (-0.05, 0.05)\n", " ├── zmin, zmax : (-0.05, 0.05)\n", " └── inverted : False\n", "\n", "\n", "───────────────\n", "| Upper Limit |\n", "───────────────\n", ". Parameters :\n", " ├── type : 1D lower limit\n", " ├── tag : tube end\n", " ├── in_tag : collimated\n", " ├── out_tag : tube end\n", " ├── target : position\n", " ├── action : ignore\n", " ├── value : 0.13\n", " ├── axis : 2\n", " └── inverted : False\n", "\n", "\n" ] } ], "source": [ "def gen_zones(Lx, Ly, Lz, r, l):\n", " \"\"\"Generates the zones we need for the configuration\n", " Oven size : Lx * Ly * Lz\n", " Tube : radius r length l\n", " \"\"\"\n", " # - oven = Box\n", " oven_dim = (-Lx / 2, Lx / 2, -Ly / 2, Ly / 2, -Lz / 2, Lz / 2)\n", " oven = Box(*oven_dim, target=\"position\", action=\"stop\", tag=\"oven\")\n", "\n", " # - tube = infinite cylinder & limits\n", " # cylinder (infinite)\n", " tube_cyl = Cylinder(\n", " origin=(0, 0, 0),\n", " direction=(0, 0, 1),\n", " radius=r,\n", " target=\"position\",\n", " tag=\"tube cylinder\",\n", " )\n", " # limits\n", " tube_lims = Limits(Lz / 2, Lz / 2 + l, axis=2, target=\"position\", tag=\"tube limits\")\n", " # combine\n", " tube = tube_cyl & tube_lims\n", " tube.tag = \"tube\"\n", " tube.action = \"stop\"\n", " tube.target = \"position\"\n", "\n", " # - end zone\n", " end_zone = LowerLimit(\n", " Lz / 2 + l,\n", " axis=2,\n", " target=\"position\",\n", " action=\"ignore\",\n", " in_tag=\"collimated\",\n", " tag=\"tube end\",\n", " )\n", "\n", " return oven, tube, end_zone\n", "\n", "\n", "def gen_grid(Lx, Ly, Lz, l):\n", " # prepare grid\n", " # xy\n", " grid_xy = np.mgrid[-Lx:Lx:500j, -Ly:Ly:500j, 0:0:1j]\n", " grid_xy = np.squeeze(grid_xy)\n", " X, Y, _ = grid_xy\n", " X, Y = X.T, Y.T\n", " pos_xy = grid_xy.T\n", "\n", " # xz\n", " grid_xz = np.mgrid[-Lx:Lx:500j, 0:0:1j, -Lz : Lz + l : 500j]\n", " grid_xz = np.squeeze(grid_xz)\n", " _, _, Z = grid_xz\n", " pos_xz = grid_xz.T\n", " Z = Z.T\n", "\n", " return X, Y, Z, pos_xy, pos_xz\n", "\n", "\n", "# - test\n", "# settings\n", "Lx = Ly = Lz = 10e-2\n", "r = 4e-3\n", "l = 8e-2\n", "\n", "# generate\n", "oven, tube, end_zone = gen_zones(Lx, Lz, Ly, r, l)\n", "\n", "# print infos\n", "tube.print_info()\n", "oven.print_info()\n", "end_zone.print_info()" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# -- plot the zones\n", "# settings\n", "Lx = Ly = Lz = 10e-2\n", "r = 4e-3\n", "l = 8e-2\n", "\n", "# generate zones\n", "oven, tube, end_zone = gen_zones(Lx, Lz, Ly, r, l)\n", "\n", "# prepare grid\n", "# xy\n", "X, Y, Z, pos_xy, pos_xz = gen_grid(Lx, Ly, Lz, l)\n", "\n", "# oven + tube\n", "exp_zone = oven | tube\n", "\n", "fig, axes = plt.subplots(1, 2, figsize=(8, 4), tight_layout=True)\n", "axes[0].pcolormesh(X, Y, exp_zone.get_value(pos_xy), cmap=\"cividis\")\n", "axes[0].set_xlabel(\"X (m)\")\n", "axes[0].set_ylabel(\"Y (m)\")\n", "axes[1].pcolormesh(X, Z, exp_zone.get_value(pos_xz), cmap=\"cividis\")\n", "axes[1].set_xlabel(\"X (m)\")\n", "axes[1].set_ylabel(\"Z (m)\")\n", "\n", "# oven + tube + end zone\n", "exp_zone = oven | tube | end_zone\n", "\n", "fig, axes = plt.subplots(1, 2, figsize=(8, 4), tight_layout=True)\n", "axes[0].pcolormesh(X, Y, exp_zone.get_value(pos_xy), cmap=\"cividis\")\n", "axes[0].set_xlabel(\"X (m)\")\n", "axes[0].set_ylabel(\"Y (m)\")\n", "axes[1].pcolormesh(X, Z, exp_zone.get_value(pos_xz), cmap=\"cividis\")\n", "axes[1].set_xlabel(\"X (m)\")\n", "axes[1].set_ylabel(\"Z (m)\")\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Simulation #1 : large tube\n", "To check our simulation, we start with atoms generated at the center of the oven, and a large tube" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "tags": [ "hide-output" ] }, "outputs": [], "source": [ "# -- Settings\n", "# atoms\n", "m = Ytterbium().mass\n", "T = 400\n", "N = 1000\n", "\n", "# geometry\n", "Lx = Ly = Lz = 10e-2\n", "r = 2e-2\n", "l = 8e-2\n", "\n", "# duration ?\n", "typical_speed = np.sqrt(csts.k * T / m)\n", "tmax = (l + Lz) / typical_speed * 2\n", "t = np.linspace(0, tmax, 100)\n", "\n", "# -- Prepare config\n", "# initial conditions\n", "v = gen_3D_speed_distrib(N, T, m)\n", "vx, vy, vz = v.T\n", "x = np.zeros_like(vx)\n", "y = np.zeros_like(vx)\n", "z = np.zeros_like(vx)\n", "\n", "u0 = np.array([x, y, z, vx, vy, vz]).T\n", "\n", "# zones\n", "oven, tube, end_zone = gen_zones(Lx, Lz, Ly, r, l)\n", "exp_zone = oven | tube\n", "exp_zone.target = \"position\"\n", "exp_zone.tag = \"exp zone\"\n", "exp_zone.action = \"stop\"\n", "exp_zone.out_tag = \"stopped\"\n", "\n", "# config\n", "config = Configuration(atom=Ytterbium())\n", "config += exp_zone, end_zone\n", "\n", "# -- run simulation\n", "sim = RK4(config)\n", "res = sim.integrate(u0, t)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# -- plot resuts : Full trajectory\n", "fig, axes = plt.subplots(1, 2, figsize=(8, 4), tight_layout=True)\n", "\n", "# exp zone\n", "X, Y, Z, pos_xy, pos_xz = gen_grid(Lx, Ly, Lz, l)\n", "exp_zone = oven | tube\n", "axes[0].pcolormesh(X, Y, exp_zone.get_value(pos_xy), cmap=\"Purples_r\")\n", "axes[1].pcolormesh(X, Z, exp_zone.get_value(pos_xz), cmap=\"Purples_r\")\n", "\n", "# trajectories\n", "y = res.y.T # shape (len(t), 6, ...)\n", "y = y.reshape((len(res.t), 6, -1))\n", "axes[0].plot(y[:, 0], y[:, 1], \"k\", linewidth=0.5)\n", "axes[1].plot(y[:, 0], y[:, 2], \"k\", linewidth=0.5)\n", "\n", "\n", "# setup\n", "axes[0].set_xlabel(\"X (m)\")\n", "axes[0].set_ylabel(\"Y (m)\")\n", "axes[0].set_xlim(X.min(), X.max())\n", "axes[0].set_ylim(Y.min(), Y.max())\n", "axes[1].set_xlabel(\"X (m)\")\n", "axes[1].set_ylabel(\"Z (m)\")\n", "axes[1].set_xlim(X.min(), X.max())\n", "axes[1].set_ylim(Z.min(), Z.max())\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's use the tags to see what happened to the atoms :" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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n8aKQgfz4h8e1ZQ91STjt8z3MPDxw/fGBBoPBYDCU4pQRi3I8Fpn5mdjaNh4Lw3nBCAvDf5Z4QvGikDAyf/e4FTSiK1tP+3zZeFOZ1NMepz27/tRxrdmLNwWnfT6DwWAwnF9OjFg4lAMAT+vkiEVybjIAYSYVynAeMMLC8J/ma1pzDRt+95gdVKIe8YSTcVrnOkIYVf5E6lUR97Ow3O1XsrGcrSenal3LzxTi+NPnMxgMBsM/kxJhAYV2KWFRTsQiJVe+Z0zEwnA+MMLC8J8mjho05jBeFP7OUYpdRPEQC6hwGuLiEGFU/QvCIpL0Mr87sAk/RXTlGeZyorhwYOMq9V/8xPHKozGHaM3eP32NZwsL+3xfgsFgMPxjKJMKpV1YlvxensciJc8IC8P5wwgLw38cxbc0oRubf/eoFTSiAAed2P63z3SYMKqR/LefH0oWt5zCE+KBDcXlCMGLApx4FP/uSz538e0fnqMrW0ki8G9f45mgKQe5je9/9xjjVTEYDP8lyqRC2a7i38sVFu5UKFMVynA+MMLC8J9nOU2IZTO/V/lpB5UIIJe2p7Gaf5wgIk6IOASTfcrji2TC5WwiknS8KKCglFgoIoic4p/DyMKfPKqQwhFKVqvqkMhuov7gCjU1OM5BIv7wXs4WPjgZxPfMpsMpj6lOEo/y9Tm8KoPBYDi/lEQsbIlYuH8vr9xsSm4qnpYn/p7+5/QaDQYwwsLwH6EZBziVcHDiwRaq0oIDvzOCYgeV8cBFyO+Igd9Dl2pxBNCBnbzER3/4vJ78wiN8jS8FOHFQm2Nl9o/kSwrcXopexBFNEg04Sj4etGM3TTlIfeLZ+QfCoiZJ7KcClLnKc8sQvuMTOpKNT7n7fXFyP4t4k9hzfGUGg8Fw/jg5YiGf+eVHLFII8w1DqfP3WW7472KEheFfTR3iac4BmnKITuw45XFf0ZprWP+7Y62gMU4cdGIHDrcHoLQXoHY5JWkrklb8swObfDyKKzWl4o8HrlOm9WigGsepyTFCyWE4iynAcVKlJy9cJLvTlyqRRjwhtGQ/3hTQjIPk4EVd4tlFpd+9v85s5ReqcyUbqUni7x57Kir8CR/HqWjOAbwo5Gdqn+IIzf0s5EMuJuU8p2sZDAZDzJ+s0HcmKBIWaNwRCxEN5UcsTHM8w/nDCAvDPxbHaeTR1yIR0BwljIH8yBe04Vp+ph9rqM/Rk45PIZB8PKnkLgf7KF/jwHZfg0Q6dhKFP07as5NnmQPASL7CnzwA7mAZUaWExGN8xQMsRLmfP5Y5HCW0uClfEkFoFGFknfI+bmIlIALGm0KceJSJu7RlDz44OU4AIKlQKfgTzXEOEU4r9nGQCILIJR0/QNOYQ+5nl43gdGY7Fjbd2MwdLP+jl/gkAsjjYeafNO6JKPRJJX59cXIrP/BWuZEIjSeFXMMGDhBBHNF/+doMBoPhTHMdP4M+N81TS0csCu3C4qpQpzJvhxrjtuE8YYSF4bzTmEMEuCfnJWie5tM/7DFxIt4U8DDz6M9qrmYDOXjzAw3ozHZ+oCEaxY3uyfqJfEFb+aIA9hBJB3ZyI6toWjwRV2yjCv7kk4IfVUjmV6rTmn0AHCSc4SwuHs+BTRJBVCaF//E1GjhKaHFlqFT8sdCEk0UEGQwpZzJflD7li5MgcvHAhW+piEV7dmGjilfwFZpn+JQQt+/Cm0J3pERWtaJI5zJ+I4BcRrCgeJzbWU4guRwggkgyOMJf79h6Hev4jHb8USrVlWwkls1lyukOZTkfcxE5eJ90fF/WcSM/0YL9fELHv3xdBoPBcDZIJBgOHz4n5zqxQV5RmtOpys2artuG88UFJyymTJlCdHQ0Pj4+xMTEsG7dut89fu7cuTRo0AAfHx+aNm3KggULyuy/7bbbUEqVefTs2bPMMSkpKdx0000EBQUREhLC4MGDyco69Sqz4c+j0BTi4DG+4n4WFguJMLLIwptHmPeXIhf5eHKcAA4Rxi38iC/5zKMll/Iby2hMR3aSRBBN3GKhdBrSDipTjWT8yGcxzenBr6ylNr3YBMAt/MgKGlKDZHLwohM7WUsdurGZjuxgFfVoxsFS41UiBy/qkUA4mYSRhRMHA1gFgI2FEw/CySQbbyqWk0ZkoxB5oQFNQ45SOiJQgQzy8SQNXx5kPh64SCYAH/KpRzwp+FOLY+yhIgBNOMRmqtKcg+x2bwO4hO0kEUAMewgil5lc9IevtT953Mb3WNi0YxdNOMy6U6YxCSFkczHbqcZxltIUBzYt2YeFzQZqAVCFFPqyFoCGHKEpB2jOQV7iSs6n/8NgMBhKs5UqqDWrz8m5TmyQZ7mnb17lNshLMalQhvPGBSUsZs+ezYgRIxgzZgwbN26kefPm9OjRg2PHjpV7/KpVqxgwYACDBw9m06ZN9O7dm969e7N5c9nSoj179iQ+Pr748cknn5TZf9NNN7FlyxaWLl3KvHnz+OGHH7jjjjvO2n3+l7iLb/GikKU0JYBcxjIXLwpJIZBEQjhGEEP5rtznDmNJOZEOWEpT+vAze6nAI3xNLJv5lHZcx8/MpwXp+DKAlThwMYkPcZTqYbGLivRnFZn4ko03zzKHJhyiMsnUJBEPXGThRWMO04IDHCOYIPLow1q2UA1/8qnoTqfaThU8KaQu8YSQQxiZXMx2IsgiilRqkEQBHkSQSS5e+JGPBy68SkUkdPFEWgRGVZKLe1MoNPWIx8bCRlGfeApxkIo/PhTQkKNspQr1iWeH21/RhEP8RjVasp9N7pSiKFIJIo9lNKUjO8jF8095GK5kI/uIoDNbuY71fE5biib+0Rwr9qE0dYstH5xM5CO+pyGFeJBAME/yGbfwE2/Tncqk4Ese97OQH2hAILkMZRme2LzBpWSVMnSHk0kntuOBi5F8SR3i//B6DQaD4UyylSqwdu05OVfp0h8uXRKxKC8VKjXXpEIZzh8XlLCYNGkSQ4cOZdCgQTRq1Ii33noLPz8/pk2bVu7xr7zyCj179uSRRx6hYcOGjB07llatWvH666+XOc7b25uoqKjiR2hoSQhx27ZtLFq0iHfffZeYmBg6derEa6+9xqxZszh69ORcfcNfYzqdGcx3+ODkIBXwpoAX+BjQzOASQskmgnTuK6cL9QoaFqceVSepuMndEcJZTy3CyaIVB+hJHDuoREOOYqNozV4iyKIZB0jDj7tL9Xf4ifpcziYUmnm0IpkAwsimJfupQCaxbGE9tYkinTw8CCGbnVSiFonUJhEnHtzgjkjsIooIMqlOMnuJxIWDWhzDwqYqqXRgF7l4UoEMAsmjCqm0YS89+NXdzE5ju79OFGChpeuq+79tILn44cQDGw9sgsnGiYNI0vDAJpQskgmgLkfJxIc27CGKdBIIoRrJHEJWtMSM7qIl+6hAJj/SgPtYhAMXV7Oe0hGSYSxBofHARTv2UIskBrAKf3L4lWrUIpGrWc+9LEEDNUmkDxJVfJkPUGi6sYV36cJwlmBj8SGd0Cie4Aue5jPm05JjBPEQ8zlEBCupV2xOB0l3e5Sv2U8EDzGPGhy/sD7IDAbDv4JDRKB2/P3eRn+FE1OhisvNlpcKlZdimuMZzhsXzPex0+lkw4YNxMaWmDstyyI2NpbVq8sPRa5evbrM8QA9evQ46fgVK1YQGRlJ/fr1ufvuu0lOTi4zRkhICG3atCneFhsbi2VZrD1HKxX/NnzJL17FzsWLcVzD3XzLNqLYQ0WiSOdeFmNjMYGrCCebDuxiwAneiC1U4ziBdGUz4/mE+0t5BiZwFRFkko0XYWQxmBVM5xKuYQNB5OLAxR0sZyKXcymbac8OQFObY4STzcN8RSJB5OKFJy568Au7iaIO8SyhGQpIw4+O7GQttUnDnyf4kjw8uMRdfSofT7xw4YHNb1TDgY0fTvLwAGyi3BWcKpNKPp4EkEc23vjh5Da+xwNX8SQeKBYYRY3vinwUnrgIJBeQqlAd2I2NIoxsYtlMKNnU5hghZJODF8HkkIEvoPAnj2v5mUIcZOFLILl8QytCySKAPFqyn9JRCC8K0Shi2cyPNOAidpCOHzVJJpgcbuUHqpHMHGKwUTzAQgqxaME+6pDIVirzFa1px16ceJCGP5uoyWg+I5IM0vDjexrRnzWkuKtmRZBBR3f1FYXmYeYxi450ZQs1SeJ9OrPzDypeGQwGw5lGo8DTE/Lzz/q5TkyFKopgnBixsLVNSm4K4UZYGM4TF4ywOH78OC6Xi4oVK5bZXrFiRRISTi7zCZCQkPCHx/fs2ZMPPviAZcuW8cILL/D999/Tq1cvXC5X8RiRkZFlxvDw8CAsLOyU583PzycjI6PMw1BCIQ76s5qmHMSBi1v5gee4mtF8iT+5HCWYbmyhB3Fk4ssULuUQ4fRnNQ04Umas6XTmCuKYQ3u6srV4vxMP3qUbkWQSQC6RpGGhSSSYKqRQiRRCyKEhR9lCFW5mJS04wHfukrKxbOFqNvIjDdwT5+PEUYNCHASRQzbe1CGeGHbzG9XJw4tgcjlOIMGlGtalEEA6viQTiIVEHfLxLPYZHCGMcDJx4oGFLk6JKvq9BsdxuD0WkvCki43YRf00nDioSAYObELJxgcnLlTxuQrwoKH7dSnq11GUBtWRnQSRSzZeRJGKAjqyixU04lI28y1NAREVQ1nOl7RBobmU3/Anj0qkUoVk9hBJBFmk40cVUllLHTqxnTCymcKlPMscltOQi9jNb1TlKjZQkXTeoRvd+I3mHCATX17mCppwiMYcpDrJpOJHJ3YynxYA3MoP/Ep1wsnkInYxn5ZUJ5n27Cx+zQPILfM3MBgMhrOFbtESfvnlrJ+ntLCwS5u3Tyg3m5Gfga1tE7EwnDdObuP7H+OGG24o/rlp06Y0a9aM2rVrs2LFCrp37/63xhw3bhxPP/30mbrEfx0FePAc1/I0n/I23YgnhBdrrMEe9ToXPfwQums31OFDPLZ3Jf9bMApat0F9MAO++YY31yzE3rwFgoNLBtxyA62fGo1OaM2bBxdh79gFPpKPr6pVISwvjzDvPFo3PYj9xhdY116D1+7d+FUIYnzYNux5K7CaN+XljqnYX05H3XoYNfNjbm6di/3lbKw+18H6nxkzrApqYyItoj0gaABVPp0LMXVY/OGjqCE7UAsXUrtHJ9SXX7Bs1yCoUQM1tRL8+iuxnTtjPfQD5OYQ2LQBNT09UWmKlvfdinplMsvWPYVVdSpvLx+BeutNcDhQv/0Ku3bBUYsKFYPAttFe3uDtxfKnGqFd9bHu+4ZWMQ1pGRqCWrETvL3h0CEIDYO0NFr3agotWqB+XkevVk3QV12Nmv4+esRDPFSrFuqyWNRGHwKiq1MtNRXsSO5o6o09ewZWn2uxv/oAPD1RQwej9lWm/bdvwPx5qDhPWs2YgdZV8EtJoeK6Zbz64P3oCk3Rd93NsqZNsdq1Qd/8MJ8eOoQ1J4DLvFOw35nDZzNnQm5r9PDhzKtXH6tpY/CLpMbnXzCvRg2s/teDZzXsATfS+tH/Ye/czbKgINTsWbA2Hd27N+qRh6HbzdRr2pTVt47lInawiyhy8eZ5ZrOChnxOzHl6hxsMhv8KOiYGtXYtul27s3qe0qlQhXZhccTCwyo7jUvJlaqDoT5GWBjODxdMxCIiIgKHw0FiYtnGXYmJiURFld9ROCoq6i8dD1CrVi0iIiLYvXt38RgnmsMLCwtJSUk55TgjR44kPT29+HHo0KFyj/svk4sXz9Kbe1jKchqju3VHvfoqevh9qB++R7dpC9WrY119FSQloQfeChUrohs3RvXqUbZ2eOPG6Isuhr79IDMTNXxY8S797XLIzAQPD3R2DmrlT+jLrwDLgtQUSE2FVSvRbdqgk47B2rXo554HhwO9axfq26XoRo3AwwM1eza6e3fU7l3oATfKRD8yEpYuge6x4O8PiQkiCiZOkPO3aQv5+agtWyAwQM5rWZCcDLm56MqVIc9tQPfyAtsl1+vri7ZO+O+pNcrlAocD0tNR+/eDhwf4+aIOHgRbu8ewJTzv5QU+3ugGDdCBgahff4HmzVH79kLNmmDbqM1bQClIS4fkZHSXLujIirB9O7pxExknLQ21bh328HsBsKa+Db6+kHQMVVgILVrCju3omrWgoADatkW9+AJYDvSAG7HeexfdpSs0aCj36iqEKlXg4kuwrrxcbu3uu6FlS6y770RXqYLd/wasRx7G/mY+BAXB2rWouXPQQ4ZgPTQC6tZDd+kCH35AKNlk4kMuXjzHbLwo4Dsan623rsFgMJTQth2sO/tp0cUN8igxb3tanid1107OlVRuUxXKcL64YISFl5cXrVu3ZtmyZcXbbNtm2bJldOjQodzndOjQoczxAEuXLj3l8QCHDx8mOTmZSpUqFY+RlpbGhg0bio9Zvnw5tm0TE1P+iqi3tzdBQUFlHoaTycCPcVzDQyxAjx6DqlgR1q6Ryfvnn6O7x6IjI7E6XwJOJ/qlSSjLQqWmoR79X5mx9H33ob5bjv3UU6i5c2DNGtlRv74IieRk1I7tqLffRg8bDnXqyCS3oADrmWfQb76N2rUL9fJLULUqunVrVEYGavp09JChMhFPSUZXqwaWA3Vgv0x4t25Dff01umcvqFABtXcv+PmhvvxCzt+0KepYImrzb+gKFUQIpKWj0tNFCPj4gtMpD09PyHeiMjPcERdV4pvWWoSMqxA8vSRic+iQCKZKlSEnBwoL0LYtx2Zno0NCIDtHhEOLljJOUhI6qpJs+3kd5OWCsuR8SkFICPqGG1AzpouYA9SM6XLMlVfBmjXo2nVQ70yF0FBIz8B+512sV1+B+KPoMU/B0aOojz/GHj8eq+dl6Lp1UfPnYb/zDtYrr6Di49HPPod6/jmJyDRrhv7fo6gJL6LDwiEyEuv557BHjYa2beHQIawnR2G/MAHr9tshLBx9zzCsF8ajUlLJwpsXuJqn+Ax/8hlFf1LdDQMNBoPhrBIWhkpLPeunKeOxsCVVu9zmeO6IhUmFMpwvLhhhATBixAjeeecdZsyYwbZt27j77rvJzs5m0KBBAAwcOJCRI0cWH3///fezaNEiXnrpJbZv385TTz3F+vXrGT58OABZWVk88sgjrFmzhv3797Ns2TKuueYa6tSpQ48ePQBo2LAhPXv2ZOjQoaxbt46VK1cyfPhwbrjhBipXrnzuX4R/GccJ4iWuwLp9EPYHH6KSjkFAgKQRzfoELukMaFTvq8HLC3vqOxBVEfXRh7CkpBkdloX96utYixejW7XCur5vsaFOz5krk22HBzo1BfXWm+jBQ8E/ADIyID1NoiTNm8P+A/Dbb+hXX5OJ9s6d8tyKUbLC/9GH4O8vq+c9e6H27EYdS4SoKAgJlWhD9eqQlCTX5ekpz3c6oXUbiWZkpMvvaPc1KkhIQAcEwPHjss3XVyIbCnm+W1jgcoGXJzooCI4eFaESFQVZ2ZCXh8p1Rz/y8yEoCOXMR+3Zgw4NQzdrjvp+BXTpAoB6/305trAAsjIhNBS1fRt06IjatROaNpV7/uAD9A03SNTmtVegRg1ISJBradUKtXYNulFjqFIVatdGPXA/ulZNyMyCAwdQ+/Zhjx6DevZZdHAw9tPPwP79qAkvQoUK2B/NhJU/wZo1qPijsGsnunkLuO8+yMrCGjoY++XJWEMHg8PCfn4c1sjH5J79fHmOa3mcrwgjiyfpx3GMkDcYDOcOXSESTsiOONOUqQrlNm+XVxEqNc8IC8P55YISFv3792fixImMHj2aFi1aEBcXx6JFi4oN2gcPHiQ+vqSefceOHZk5cyZTp06lefPmfPrpp3z55Zc0adIEAIfDwa+//srVV19NvXr1GDx4MK1bt+bHH3/E27ukA/DHH39MgwYN6N69O5dffjmdOnVi6tSp5/bm/8UcIQx7wkSs2waiB9yIWrYMfdllMpGdPw/dshVq8xbUE49DeDj27UPQzZtj3Tqw7Id59eqSotS5C2Rloe6+S7Z7eGC/NRVSklHHklArVqBjY6GuO2qRm4d6YTz6jbdQe/dIGlPzFjJRTohHvfUGul8/CAxCrV+P7tFDhMB1faCwUCIRK39CuyNhulp1EQHuFDhdsxbaxxfdpIlsz8x0CwRvESUeDhEJoaFw4IBcs7c7gnBCxEK5XCImgoIhIV7SnYKDwZkvEY1cd4SisBAVGiYiaNNGVFoaumNHWLFC0pIAtcxdZjcwENLS0Bdfgm7YCBYtRF9xlexbvgyc+eihd4jI8vZBTX0bAoMgMxP77amoae+hdmxHP/6EpCzFbUK/8hrWkNvRdetCSAg0awZpaVC7NsS0lxQob2/sl18BhwNrzBhUZgZ2q9aobdtFDNo26o4h2CMfRz3zlJzvldckFSo/T4Tmx5/wIAuIJI0x9CORkLPyHjUYDIZTEhNz1tOhTkyFgvIjFsk5KXg5vPD39D+r12MwnIoLSlgADB8+nAMHDpCfn8/atWvLpCOtWLGC6dOnlzm+X79+7Nixg/z8fDZv3szll19evM/X15fFixdz7NgxnE4n+/fvZ+rUqSdVkgoLC2PmzJlkZmaSnp7OtGnTCAgwqRZnlObNsUc+gfryC3SzZqh3pmKPeAiyssUbUL8e6r13Yc5srA9mQPsO6OYtsGK7ySTdjb7pZtizG/uJUahP50JRaeGbb0ZXrQYFTti/D/XUGOzHRqLDwiA3R7wZ3y0XP8XWLVg9LsV+4UXxNaxdi+4eC9E1IDdX0os0srofFAR796K++grdsyc6NEw8DA4HuH0WtGkj/oqi1KaCQjFZOyzYt08m6/97GCIqoI4cluf4uoVFkbLQiLgo8lgEB6NSU9G+vmilxNtg26j8fIl0aA0+PhJJyM6GuI3QvgPq8CHsKlUk4pCcImP5+so5fLzFEzF7lkQoADX5Zal6Eh4uPzdrDvHxckFt26KWLkE3bozudDGEh2PdO0wM4mOeBD9/1Pbt2PMWYL3wAio5Gf3MWNQdQyAlFX311XD55Vh3DpVIxnV9sN6Ygj3zE7As1JOj4NLLUN98g9q1C/ull7Eef8wd7VES4Rr5GNVJ5hn64kkhHUpVhzIYDIZzgY5pjzpT5eeLItQncGIfCyi/63ZKXgphPmEneS8MhnPFBScsDP9iOnUSQZCcjL7kEqynn8J+/nlZzc/Kgho1xNA7bDjq53UQFiapRUMHl4yhFPrlVyQlqk3bsilR360QL4LLJcbnoCBUk6ayPzsb9fIk9JQ3xQidlQU+3jLx3rsXNXsWum07mfC+/x66WjURQb0uR+3chdq2VVKIgoPg2DHw88P6/DM5b5u2kqYUf1TEhLbBzx/t6wtbt4CPNyo7G8IjIP6oCAofn7JfLlq6WONyiXAIDobcXJSXFxQWlqRK5efLcy0L7e+PrlYNXa26eDrS09HVqjNkyGBS358mRvFCl7wmYWGoAwdg+zZ0Wpq8tgcPovbtRz/0MCQkoJKOYU1/X8bPysJ+9XXUZ5+itmxF3/8AasYMyMxC3zYI9eWX4vm48UbU22+hAwOwn30OVq5EffYZRNeQv1PXzuiAQGjeHGv0k+gePVCvvYr68AO5L6cTtexb7DFPYU2aKPdnu7Dfm4aa8CJq00Ym0YsYdnEvS6QTrsFgMJxLmjRBbf7tjAylht3jXrwpy0l9LNQpUqFyTXM8w/nFCAvDOaUPa2nEYTqztfxeAz17oe8Zhjp6FN3rcqzHHsV+fjzs2CF5rJUqYQ2/B/uGARItCI9ALV4Mn8wsGSMiAnvECGjSBHJyUHfdCVpjDb8HPWCApOTs2Y31zDOS7x9ZUSbXSUmopUuhTh2004k15XV05y4SCfh0Lvq226Sa0ZEj6I4d0RkZYgx3FaJDQmHrVkn9yc0Vk3eRz6J+fVRqKvz2a3GZXO0rwkHt2ydmatuG4CBUYiJoLaKj9IJTkXAolO7iBAfLJFspVE6ORCwsS4SHh6dM/p1O+b1WLXR0TdSK77AvuYSExATCi8zlPt4iODpehO54EdaklyTtCVCvvwZhoVKudsrr2O07wMEDInxi2ouwqltPohsul6STPf441lVXoGvWBJcLfeNNcPiwVIRq0gTrpgEQGIj98SeoB+9HZ2Wj8vOllGxgIOrwEfTAWyUFrksX1JtvoO+4U8z8mZmQl4f9ymuo995F/fQj9uRXuYvldGUrz3At6Zjwv6EsU6ZMITo6Gh8fH2JiYli3bt0pj92yZQt9+vQhOjoapRSTJ08+7TEN/wE8POQzuujz+XQICZHvqBMonQpVaMt5yk2Fyk0mzFSEMpxHjLAwnFMW0IJb+IkoUhnN54SSddIx+oYB4rXYuwd99TVYT43G/t+jqDWr0S1boYODsSa8CJGR6O7dwNMT6757Ye/ekkF69gKXC3vEQ6jPPoW1a7GHDYcKkW5DNeikJNQvv6A7d5YJeEYGaspr2K9PQR09Cikp6GHDJAqye49EOapVl0n0unUo25Y0raAgOHoE9c3X0KOnjB8WJkLgyBGZ8Ht5obKy0NHREmUpKID0DElTqlVLql75+sFxd9d3b293+pP7fmwtP9u2hLj9/EQ4aODgwZJIhtbitwgOEeP2vr0S7XD7K+IiK9KscRN5rSxLDOMgYqZ7dxFD1/WRCMuC+dj33S9+lY0bsGbPFk9HTg72pEmo75ajdu9G33qbpC2FBKMzMqUC17592DNnYY0di8rMQD/9DOqaq6CgAP2/R2HXTtSChajgYEnlSkuDyEjs557HevEF7PsfwBr5GPqyHrBnDyo+HpWVhf38ONT8eajFiyQ1asyTWNiM5AYjKgwnMXv2bEaMGMGYMWPYuHEjzZs3p0ePHieVEC8iJyeHWrVqMX78+FOWE/+rYxr+G+jGTWDLltMfKDRUyqCfwIlVoTT6pOZ4IFWhwnxDT/86DIa/iREWhnNKLt6MoQ9Xs5FU/BjFF0Rwcmdyfdfd6B49pZ/CZT2w3nwDPWAAasF8mSRnZcHm31C//ILd63IRF5d2d+ffu8d44UWsFSvQMTFYfa8TU/fx49jPPi8iIjEB9f40SfWpUqW4v4RasBBqREv/ienvQ+06qPw81NS30TfdJOVkFy5At2wpK+u9LpdStWvWoLt2kxSrfftkvAkvyLU0aIhOOg4tWsn2jAxUVqZESmrXcVeC8oa0VLSfH1gOdypUkcfCLqkQ5ekJ6emAO2Vq924RMV7u1avCQvF0BASgtm+HffvRHTqiEhNYumkjl0VEuEWJRuXkin8iLRU1d654JRwOKdmrFPS+FvXee9gdL4I9u+XaL7oI9eGH0m/ivvskZWreN2KsfvQRCAlFt4tBLV6E9vOViNOHH6DWr4c2bdF9+2HdfRc0aoh9ycWopUugeg3sp5+R9Lenn8EaNgzdoCFERkqVrrQ07EcfQ61fj/p0Lva48VjPPA22zUgGGFFhKJdJkyYxdOhQBg0aRKNGjXjrrbfw8/Nj2rRp5R7ftm1bJkyYwA033FCmgMfpjGn4b6Dbt0etXXP6AwUHQznla4s8E0VVodCnKDebl0qYaY5nOI8YYWE45zjx5Dbupi4J5OLJ43xVUg2pFPrxJ6Taxq6d6LbtUN99B23aoubPR7dti1qzFl23HtaePVCvPrqgANW3T8kAAQHYY5+FSpXFj3DnHSI2FsxD168vk/qjR6QTdd9+8pzMTNR772BPfgWOHUMdOIj95CjZ9+uvMtmtXh2ysqT6k9OJ7tpVVuI9PWTMrGxZgff3x/r8c7mXNm1Q8UelTCxATq5M7m2NDgwQM7jLlucHBkkTuQJnSWi9yG+htYTdk5JEaHh7o1JTJBWqyKznckFQsFxrYiJq3VqpXlWrNitX/kSnNWvc43hCZga6XQw69jJJbRo9BgA1ZUrxa6Lmz8NavEhERU4u9rPPo379BXX8OFxxJeruu8S8OOoJCA6B1BT0U0/Bjh3u6lpVsP73iKSoffQx1mWx6BYt0Bd1wnrlFXR0NPq227CmvYf9v0exRjwgq3Y9e8KihaiUZLjjDtSRI6j3p2H36Ys17B7xWnw9j3T8zsTb0vAvw+l0smHDBmJjY4u3WZZFbGwsq4uKOpyjMfPz88nIyCjzMPzLaBcDZ8LAHRoqqbOnoHQfC49yIxbJhPmZVCjD+cMIC8N5oQAPBnEnkWSi0ViDb4c9e8oepBR6wkRo2BB16CC6cmV0RgZERKBWr4ZGjVBvv4Xdpw/4+qCUkhWj114tGaN9e4iORt9zj6RE7d2LvmEA9O8vk/GsLOnGfe11IhiKoxbzoXIVESQLFxXnvar33kVffAkohTVnNigL9fPPUrI1JQW1fLn4EgoL0ZWriJEboE1bKf1alK6VnyeTe8uSaIPtkopTTqekVhW6JJqQnS3HlzZyOxwyrtuXQVaWCBC35wKAwEB0RIQIl0qVUN+vIKtDBzw8PPBZu0Ze2wD3Kr/Tia5TWyIejRrBhg2Qnoa++x7UnNnomHYS4nc44JKLUe++gw4IxH58FCxbhtqzG337YNRPP0JaKvaLE7GefhqVl4d+cjTWZbHgcGC/8x5q5KNoLy+oGIV6Y4qkprVtB3v2oK+8SgzaLhf2sGEw/X0pk9vvejHNT3kdu08f6fxdtap05Q4v+QL1wEVJ7pjhv87x48dxuVwnVfmrWLEiCQkJ53TMcePGERwcXPyoVq3a3zq/4R9MVJSUDz9NdGgopKWXu0+5jXcuLalQp2qQZyIWhvOJERaG84aNg0cYIKlQO3dg3TEUtm8ve5Blod9+RyobpaXJZLVeffEcHDoENaKxRj2B3fta9CWdobAQ66kxEBdXPIQe9aT0n+jYEeu63uj+N0hVqSpVZOK+fz/W88+ih98rk+ecHNSHH2BPfAlSkmHLZuzHpPGiWvatTHQrRMLOneiLL0YtXy7pULt3S8naSy8TT4WXp0z+ExKkqZyPDypuY0nFJ09PmTDnuUVGUpJEGwIDSyo9lY5UFKGUmKgtS7puZ7l9KoWFxWNq7S49m5EOl/aA779nhWXRuVHj4uNVXr6Y39FYb7yBvmWgbJ/wIrpJU+kk/uEHsGatnD8vH3vUKHndPT2gdWusEQ+g77oH68YB6MiKUKUq6uABtKcH9vgXUKNHw+HDIubS0lCLF6PCwlG//CJCJjoaWrWS1+Snn+DIEewnnsSa9BIqIwPdrTtUr44aPx67d2+sd96BmjWx5y0oIyoCyGMsc6jC2e+AazD8VUaOHEl6enrx45C7x43h34UOCSnXH/GXCAktNxUK3OlQ2i0s9MnCwtY2qXmpxmNhOK8YYWE4r1zFJryw0YGBsPk3rOH3wObNZQ/y8EB/9DFEVJAqSL/+gr7ySkg+Liv9kRWxnn1WIhP9rgeUNGArWu338sJ+6WWUn7/4Ju4Ygj3hJahXTyIGubnoPXvQVaqI30EpiT58OhciK6JycsQz4ekJ8QlYY56EOnVkIp+dDdpGt2snK/95uejr+8sYR47K+C+Ol9+joiA+AcLCZaLu7Y1WiPDw8IBDB+V6A4Og0N2Zu3TX7SIsSyIfDgf4+8t1FFWMsizxgOTnw65d0jSv00WolGS+XbuWHklJcqxlQXYWulUrdK/L4Zc49P0PSLQmbpNEcN6fhm7YCLVpo6RNdemCeuNNud/RT6Fee1UuMT0N8nJRiYnYr74K69dDTHu5zrfegJq10A8/gjXsbqhVG10pSkztlSpjD7sHfvwBAgJRq1ZhP/U01vhxkmrWqjW6UyfU6CfRV1+NNW0a1K6NvWBRGVERTiZP8ynT6cwRZKUumGweYh7KRDD+s0REROBwOEg8oSNyYmLiKY3ZZ2tMb29vgoKCyjwM/0LaxsDPp1kh7HfEiUK5U6Hk+8DT8iizPz0vHVvbhJuqUIbziBEWhvPKR1zMEprJ6nS1arBpE9YD98HGjWUP9PHBnj0HAgIkB3XeN9i3D4F9+9CRFcRrsGC+pPB07SKVm3r1LFnpb9QI3bWblDL94gs4flxWw9t3kF4JR45gTXgR+4knZPU8Lw/10YfY48ZDWjrqpx/RgwYBGjZtQl93nUQlPp0rHblXrZJIQ1aWiBAvL8jJBl9frE8/BUC3i4G8XPF3WJZMvB0esHWrRDPS00WA+PpAvlMEQOl5sftedGCQRA0cDnm4XO4u3W4BEhAgpVt37xLB4uGJrlad7Tu202DFdzKmv6RBqbxcdE4OOrqmmM7ffkv+/eYrrLlzRJwUFoIzH/v+ByAjA2rWEsP3669hP/cc1ksTAbDvvFMa4dk2+n+PYl11Bfj7Y8+Zg3V5L2jQADsmBjVvHlSrij1qFNZbb6F7XYH6YLr4KyZMgKxMdL166H79sB56SKJBH8yAWrWx5y8Uc2PR33XnTp7gS16mFzuoDEB1khjD53xOO3SZmr2G/xJeXl60bt2aZcuWFW+zbZtly5bRoUOHf8yYhn8POibm9BvlnaIqFEjEQqMptAvLTYVKyUuRIUwfC8N5xAgLwznnRn6iMSWpAO/TBfuxkajDh6VT9M8/i9n3xA/ooCDsOXNlsly1GtYH07HvuBO1aRO6cSNJJbI1Kj0DKkSidmxHjRld/HQ9fDhq/z53StS16GHDJQrh4SH+hsOHsV5+Geo3kIl6Xp6kAoWFSbftwCARBPn5sM6dSpWWJkbyDevRPXui9uyBhQvQDRtJCddKlYp9FrpdOzlXlaoyfk4uOj8PdWB/sZjBywsUEnGwbcooi6LJdHCw9Ibw8ACXXY5xOwhdu44YwUNDUXPmcODwIapXqoyKj5cmfU4nhIejQ0Ox3nsP/eijIsY+/gjd/waJ4lSpilqzWiJG3btjvTFFSsc+MQr1wP3ounVRY8fK9Xh7S+lYwJ4wETXwFsjOlk7b48ejPT3R9epjvfsOVKmCHjYca8oU7GHDJQ1t8BCs6dMgM0P233k31r3D0ZddhvpkpoiKhYuk0tVtA8XzsWED1r3DeY5rOIys0LViH8NZyrNcyz4iz/A713ChMWLECN555x1mzJjBtm3buPvuu8nOzmbQoEEADBw4kJEjRxYf73Q6iYuLIy4uDqfTyZEjR4iLi2P37t1/ekzDf5gWLVBxm1BzZv/9MUJCpLR5OShUcVUoW9snNchLyRVhYTwWhvOJERaGc86XtKU/q+lGqZSnYcOl8dmO7eiY9rBmNdYdQ6Q/QmkqVMCeNUeqJtWrhzXtPfRNN6N++BFatESt+E46XVeKkrSp11+DFSvkuZYl3aItCwqcqLvvwh77rJxPa6nklJqCDguTVX+tUd98gz12rFSLWjAf3a2b9JJYMF96LGgtAsjW4kvIz0clHZOmcZ6eqKLIw7FjYuD28YXUFLdAyZPmdtnZUi0qNxd8fNAFLshzCwt9grAo6rodfxS8fSQXt6iHBbgN3SFi3s7JFaP54oUsqRHNpYGBcixATg66WTOJ2iQnw1VXw6KF8vx9e6Ujd0qyiJaCQvTtt6NtG92lq1Sa+vEH9C23orZshpQU7Fdfgx++h0sugQP7Ud8uRV90ETo0FLVkMapyZYlUhIaie/aSHhn3DMN6fCQ69lLUiu/kOkJDsR8diXX3nehLOkvZ25o1RVR4e2PdNED8GokJWE+Pwf54JrfyI3VI4Ao20os4RtGPFALO0rvXcCHRv39/Jk6cyOjRo2nRogVxcXEsWrSo2Hx98OBB4kt1OT569CgtW7akZcuWxMfHM3HiRFq2bMmQIUP+9JiG/zDe3lBQIBFW/TfTMB0O2Lmj3F1FJWelj8XJ5WaTc6UPUripCmU4jxhhYTjn5ODN0/SlMYcZyA8Ur8r374/9yWzUpo3YXbrA7t2o6dNRDz9UdoBq1bA//Fgmx02aSlfs7t1g1UrxBEx9C7tLV/RFnaTjdv9+Mml1P1ffMhB97XWoL7+QD//mzUVM5OfDsSSpQNW8hRxf4ES9/75UX0pLF+8AyIp+UKCsLv28Dl2tGmrFCggIQOfmSThbKZmcKwUvjJeeDIEBqB3b3RGRfIkc5ORI4728PBEYGemQ6+5KfmIqlFIQHIxKS3N7PuJLUqFAqj15SgRG5eeju3RFJSSwPDGR2LVrRDj4+Ynoys1F/fwzultXsCysCS+iL+uB2rVbIgM//ijRiksvxXrzTVRKCvr+B7DuHIq+ro/4YXx9Zf/Ut1HKQt99j1T4CgtDvzQJ697hYtBOSZbrb9xYSvNeeRXWM0+j6zeA48clAuPrh/3sczJ+x46or76EWrWwFy8FhwNrQH/sYcPF8/LuO9jvvY91z11sJJrubCaKNJ6nN05OLsFo+O8yfPhwDhw4QH5+PmvXriUmJqZ434oVK5g+fXrx79HR0WitT3qsKFqc+BNjGv7b6Lr10KFhsG/fGR/bck/ZxLxtn9QgL9VELAz/AIywMJxTYtjFFWzEhcVr9CQTHx7ja5nUA3Tvjr1kKdbPP2N3j4Xk46g5s1HDhpUdqH597KnvotLT0E2bicehbl2ZtFerjjXpJahTW5rsFRaiunUp8SgMuFEm8R3cVaKeHI2qV1/GzcuVqEN2logDrVHLl2GPGg0pyahZs9B160r1qY8+krSpggKoUgW1exf60stQe/eiFi2CChVEOPj6il8B0NVrwOEjEBAoTe9AhEHlSuJl8A+Q5ncZGbJyVWTgRn7EsqQcbV6eeDQSEkQsuFzFngvldKK2bwNLgZ8vhX5+ZBw8SNjmzfL8ggJJg6oRLT1BRj8lTfaOHJFIh4+PjJmXJ2Vz+/ZFe3mhb7wRFi2CpOPozEy5roIC8akUFmK/9BLq8l6gNfYHH2Jdd60Ig5q1ZPzq1dFdu0t61ozp4kmpXBm1bStYDuwXXsQaOgTdshVq/nwxai9aAi4X1g3XY498ArV1G3z7LXrCS1gDb8a+4y4uYTsHqMBymjCY5Wfx3WswGAx/QEyMFNA4XRN3ORR5LGxbUqFO8ljkpuLl8MLP0/T2MZw/jLAwnFPWUYcKZPIAC2jPTr6gLStoJJ2xjx+Xg1q2wl6zDuvndSIukpJQ875BDbm97GCtWmFPfgWVnCyehmPHZDU+LVUmr7NmSQWjpk1RR4+iht0jz1MKPfkVlNbiK7jvXuyHH0Y3bSoT9GPHICUV2rSRSEBBAer996QSUUI89L1exjl+HB0rPRrU/HmyrXZtSXHatUtSpSwLHR5R0s/ioosgJxsdVVEm7w4PUJYIjYIC8PNFZaRDZqa7+3bpG9YiHoKDRYj5+4snQWsRJUqBr69M2BMSxcD9xZf8XLcebXNzSipL5eWhGzaU+/X1EUE24UV0nbqolStRtkuaEXp4oHv2xHr3XVRaOvrGm7CeGIk9YgTWhx9Afj72M2Nh0UJ091jUt99KKtug21HT3kM7PNANG2J98zVUroJ9113wS5yUFM7IQMfGolatBNvGnjAR68470I2boJZ9K56KxUshNxfrxgHY415ALV4ER49I1GTQbdgjn8CaNJGvaU1bdjGWORTiOAvvWoPBYPhz6PYd5HN5/fq/P4hSJWmrpTeX8liUV242OTeZcN/w4pQpg+F8YISF4ZyiUUynM+upxT18yyi+YAM1sZ99HuuG/iV9LGrWxP7lN6xf4tBdu8GxRNSyZaibBpQd8JLO2M88gzp+XMrFBgZKV2uHTDDVvv0oTy/wD0B98gl8/pk8Lzwc+5FHZEL89VfSl6J+fTFE5+Whc7KlG3hEhIyzahX2yCdEZHz+mZQEdDpRSxZLGdnERHSDhuIV8PdH5+eh27YT0ZGTLZP6pCR027ZybdWqyZeHw5LIhcvdYdvHVyqClI5YQEnUwuGQdCmXS0REZqa7wZ7bj+HvL1GR3ByZpC//lsUREVyWdFz2+/hIGpTTifXNN+jbBknfjuXLICYGHRyE9g+Qila2Dd1j0X5+2A88gBr3PAQHY01+Ge3nJx6Xb75GeXqh+12PeuZpqF0b3aYtaulSVI0aqE8/BV9f7OHDsT6dCxUron77DX3zLZLqlJ+PPf5FrHuHiRn8h+9FVCxZCqmpWANvwX7lFdQ7UyE0DN2jB9ZDD2I/NhJr7DPYzz3PfSykJQeYTwuOEoKDwrP2/jUYDIbfpVo1VEamRM//Ll5eJQttpSgSDIV2ITblpELlpRBmKkIZzjNGWBjOCz/RgNH0pQ4JTGYGREZif/gR1oP3w3fudJbISOyt21G7d6M7doT4eNTq1ajrepc1xl11NfrhR8R3YFnoRg0hIQFdIRIOHRT/RM1oUGANGSKlWgF69IQKFdDt22Ndew163Hho3hwAlZoK2TnoZs2LV4/U+9MkPerIYexbbpUx4uLQPd1lbfftgx070N26o/bvR/36i5j5srJKfBatWovpGiRS4XIBCo4ny0Tey1MaAWZmlBiyi9DuiIXDQ37285V0pdL7A4NEcGTnQI8ecPw46/bvJybH3dOjsFD8D82aw+bf0PfdL5Wv/PxQq1aitm6ViIGHB7pXL9TMj1GuQmjTVpoG9u0Hhw6hcnLQfftBbi72pElYPS+TksBvT5VywdVrSHTC5UJf3x/rs8/Ql/ZAffUl9j33wMcfyXOfex7rkYfEo7J6laROLVkKCQlYQ4dgT3kD9exYifRUjMR67VXswUOwXnkZe+xYrMsvJ5ws9hNBUw4Ty2a6s+XMvVENBoPhr6AUBPiX9Bb6OwQEwMGD5Qxd0nnbtm08T0qFSiHU+CsM5xkjLAznjQIcWGgqkYrVvRscOoT96eeod9+RSTxAQAD2lq2otDR0y5YiLjbFoa64vIy40Lfcgr59sEQU4uOlI/aunehatVHLvsVu1kyqP9kurC6XFH/g6/EvoFBS6WnkY+hbB0HFirI/JRm1by9EVQJAxW3CfuhhcDqxViwX87TTKaZuP3/Uli0SQahSVczT69ahIyMlxcnHB2vObEljCglGHTlSXPZVuwpF7Ni2dBRPTXU3uzshnK1BF/Wt0FoMgoWlwuVaQ0iweDRsG+3nT1pAIAFpqXgUpUo5neg6ddA+Pug6dUVQvDEF3aOHnNvpLGks2C4G7eOLPWo06q470R0vwhr7DCiFfffdqPnzpMfElNchOQU9YSLWbbeKQd6SJoO6bTvUwQPY/a5HvfE69h13Yr0/DZWdjT3qSazRT6IrRKLWr5dIxdJlsG8f1n33Yk95Q0THzbfA0aPw44/oDhehFi/GvvkW6Y3hKmQjNfDCJpBcltCcJTQ/a+9Zg8Fg+CN0m7by+bzlby5yBAXB4ZO7s5c0yHOXmz0hYiGpUEZYGM4vRlgYzhn+5DGcxXhTQChZXMpvjKEPPhTCsUSsAf1Rc2ajP/wYdu5EPT5SJtuentjrN6L8A9D16kNCPGr7NlRst7Li4oEH0df0ljKvGzeiu3RD/fYr1KmD9cEHULuWiIuUFNQN/d0X5Y/93PPo9h1QX3+NbtwYGjWSfXl5UnmqenWJFNi2CJ7AQNi3D7tPXwDJ/W/UCJz54u1YulhWnOLj0a1bF58Hd7deXbuOVEFyOCDfKWbrI4clTSk7S4QBlI1YaC3pUpZVUjHK10e2laoIRWEhas9u8WosXcKymtF0T02V53t6ShoUYH3zNXrk47B6FWRnS/+NXbskBcvTE3355dJIMEyqW6lf4kRwKAUhIVhbtkhp3I4XoWbORHftCsuWoZVC16yFiouDSpWgbl3sSy/DmviiRC5mzoTMLPSIh7BemogODJLITu3a2N8ugy1bsB5/DHvyK1j3Dcd+7HHUwoXgdPfqyMuFChWw7rxD7icqijocwwYy8DWdtg0Gw3lHx8SApVDrf/57zw8Nk8WUE7CUVdLHgvLN2yYVynC+McLCcM7IxofV1OV5ZhNCNkcI40EW8TEdZFX/eDLqySdRw4ehxz4LtWqhBt4s5ViVkolno4biT0hIQO3Zi7r4ohJTMqDHPou+pLN0xV66WPo4bN8OVauiZs0WUVCtGurbpTD1bXlSTAy0bo1u1w6r73XYL0wobnBHSopM+qtXB0Dt2IE9bDjk52Pt2S2T3awsdLNmkoblLIAjR9CdLoakY6jEYzJObm7xeHTpIulRQcHirygokEm7n5+kYBWlN50oLArdwiIpqViUUFhYIq48PcW8npwiqUU/fM8SLy8uy8yU/S6X9JFo0xZS06BXL9Szz6I7XgTJKSJSiq6zfgO0hwf6yTFYdwxF33iT+Eny89FDhkJqKvaEl7D69RHvw3V95DWtXRu1cAH4+aFvuRUqRWG99Sb64ktQS5eKaXvIEDF3e3pKRahatbG/XQ7rf8Ya/zz2uBckYjH+BdSrk6FZM9SGn+Gii1DffYd6600xu3t6gcODA0TgwuITLmIpzc7qe9hgMBj+kFatUSmp8PPfExaEhUFCwil3u+yiVKiTPRam67bhfGOEheGcsoFajOVaBvE9vjiZTQz9WYc99A6ZFKemoD7/DOuyWPR1fdC3D5aKUe4PWf3JbHSvXlLKNekY6tAhVPt2JbmsSqFfnyIrRuERYqZu3ERWf4ICZQUpogJ4eUt3761bZdwnRqG8faS87Ljn4ZprwMu7JDXI11cm7rYtFZECAmD79uJeGWrRQggPRx1LlIpNYWESPdi4UaIVeXkiQsaPk4m9ZUlX7iJR5BYW5OaK0ADxYJyAAikxa1nSaE9rGUMp8PJCV6osQuzSy9Cpqew7coSaRaV88/PRNWrAoUPoyy6DY8ekLK1ScPCAPM/DQ6IVy76Fxo1RP/4AhQWojz4EZUkn7Pnz0L2vlf4iBQXYb76F9b+HoXoN6X1hWdgPPQL796EWLZKytju2Q0oyum9fMcu7XKhdu6BmLexly2HFd1hvvYn92ONYjzwsVaKeeBx9zbWoOXOwBw9FjXoCNqyXfiB5uejKlUTQAU/Rl81UO2vvW4PBYPjT+PsDGlVOOtOfIrICqqiSYCmKU6G0C5d2nbIqlMFwPjHCwnDOScOfMfTDhwK6sY1hDML6+mspf1qvnqTj/Por1iWdoGIU9ksvY918E/z2GwD6ldewr7xK8lBTUiA+HqtNKxEBIJP2Dz6CZs3E0/BLnFR3ys2V49PToF5daZ7XvatM+j09sSe/As1boOZ9I5WomrtXv9PTxS9Qp478vn8/9m23y3hFPoj4eOlibdsQFi5VlgICoLBA7ktr8PLCmj0LWrQQU7e3t0zq3SlMOjRMBEZxBMKj5EUrEiDe3rB/nwiL48nFfgtAvsy8vOScQcHsCgqmXnq67Hcbv5Wfn3TNHvMU6uVJ6GrVJXUqN7c4MkTlyuLhGPEQ6vnnsGNjpUKJ7UI5neAfgI6MRK1bKw3xHnpQfCnxR6X53e2DsVb9JKlflgPlzJfXp2s31Lq1co9794lRe/l3qPnzRDzccSfWc2OlSd4jD2PfPBDr/WnY99yDdctN8jeoXFk8KNE1oUoVqFuX0VxPOv5l3mOeFNKWPWf0fWswGAx/Fl0jWn4o8qz9ledGVixp6loKy73YVJ7HwtY2qbmphPmE/q3rNRjOFEZYGM4LGsUcOjCH9jzAQuxp02QlOiUFffXVMtE9fATril6wbSv2J7OwRj4KixZKhMDXF92hI3j7oDIz0ceOYbVsXtJoz9MTe+6nIlT8/SHeHVYOCICtW9EREdJdOzsb1aun7GvQAH1Nb3SrVlj9+2E/PVYiALYNaWmonFyp6KQ11qyZkrq0KU4mu7aN2rtHJv7HEiUdqV2MTPwDg2Ri7+0tkRdfXwgJRWW5U5SUchuvQ+S+3du0j+/JL5yXl1QL8fREpaWWekE1hITK+B4eqFUrWVKlCj2S3eLD5ZJqUA0byWtQtSrqs0+hQX3psZGf764EdTlq3c/oHj1RL76Arl0b6733RPgMGABJx7GfGYv1wP1Qp65ci0ZK4CYloTtdjNq6FR0egTp8WKIye/eiW7YSg3rScfm3Vi3s5StQsz6BFSvQ11yD9c5U7BEPY40ehd2vH9Znc7GvvAJr4C1yj+HhqOxs8bMEBKCH34se9SQ2iqaUVFCpQzzjmYWXKTtrMBjOFzEx6KBg2LTprz+3UmVZBDuB4nKzutAdsSgRFul56Wi08VgYzjtGWBjOKzuozJP0Q733HjRqhP3sc6hly7BvvQ3QkJyMNWwY6uVJ2HM+Rc2ahXrzTfSEidCpE7pDB1mJz8tDHz+O1ayJrLy7KzHZX34N0dElFZxyc9FhYaglS6R6UYOGqA3rUc89C4AeNgxVIRIA9fZbEBvrNg3nQVamRDoAEhKw+/cXI3WDBrJt40bphZGbK94JHx8odKHiNrlN17nFIkU3aSJix+GQa3XZIjjy8yXi4uUtIqIoGmG7//X2luZ3np5SUrbIq6wUeHqgEhOhQgXU2jV8l59Hl5yc4v26alXUpk3ikfjsMxEnv22WiEx2jlxjYCDYLvS116LmfSP3bdvSf+LXX6VfxdDBItzuvBO1fBm6RnXUpk1QtRrKyxPdsiVq1Up0m9aoX8U8T0EB6sABOHpE0p++WyG9KbZvhxYtpNJT335YU14XQ/ivv6JDw7BGjQJfPxE9vr7QspVUCvvoY+geC2lpjOQrWrIfDwq5hR8YwGqe4VpWUv9sv30NBoOhXHRMe3DmS8W7v0rVqqiiIh6lKG6QV07n7eRciXCEnYVUqD6sPeNjGv69GGFhOO90ZauYo6OisD77FHv+AqyFC8RUHBIC6Wmod6ai+l6Hfu11OJ6EemgE+v4HoH9/dGvpkK20huPJWI0bwsKFqLvvgqAg7K/nQbWqMnn385MP7MAg1JdfSApPaChq/DhYvVr8Aa+9Dg0boRbMR1/XR8QCQFqapAT5+UvU4vPPwdsbtWGDiILCQoleKIX28UGtWS3Rkuxsad5XZL4ePw66d5cKUF7eJQbs5GQRHw6HiAoPdyqU1khYQKIeKiNd/Bg52RQrC6VEdKSlomNicGZkkJ+cTGCpxnqqQgXYtRM9bDjWhBfRbdqgU1NE2Hg40D16oLZtRQ+8FXXPPejOXeTeCguhUWMRHanJqEOHJWoxZrR4JVatksZ8MTHYrdugPp0rEY+ffoJKUejgEPFyHEsUUbH8O9RLE0XQhITA/v3QpClqyRJ0aKiU7l27FjV3jvQNKXBKE8KatdD16mF/8ZWkQf30I1bfPnxFG1bQkOeZzVFCGcu1J6VGGQwGwzmlbl1UVjZs+BsG7urVpXv3CRT3sbClzHjpVKiUXIlwnPGIRXIyjTl8Zsc0/KsxwsJw3kkgRNJ3PvsU+55hWKOflMm9tzd4eqFbtICsLNTq1VgXdZS+Bm3aYA3oL6lLDz8MzZqLL8DLUzo2D79HVsLvuRsqVJDIReVKkJmJrhglH9qentLpuVo1cDiwrrpC/B1Vq6LvuQeaNsW6bSD6f4+KcHC5RCRE15ALT07GvupqqQoV0x4AtWIFhISgjh+XCkitWsqKf9WqogE8PLA+mSkGbqUgKNDdSKlAQt8FBZJuVVgowqJIGBT963RKVMPLq2zzJQ8PdHiEGLQjK7IqKIiOKSkl/orQUHRYGLp+A9i7V8TZ3n1yndnZ7sZ7DjFoV62GOnxIqkC5XOjYWEhMxB7xEOr119GxsViTX5YoSn6+CKkbb4KoSlgfzEBfdbWUiA0OltKzmzaKIKtVC3v+AtRTY0RwpaZKNKJQyg2rY4noDh1QL78kAqjIF1O7DoSEoIcMkSaGWqPGjEZNn4796Wc05jBD+Y4XuYplNEUs7gaDwXAecTfKU+V4Jf6QSpVK0mJLUeyx0CIsSkcsUvLOjrBQixayhjpndEzDvxsjLAxnDS8KsLD/8LgdVIb9+9G162C99ir62utQy5ZJb4OHHkLt2iX9KZxO2L8Pq2tndGQk9n0PYPXtAw0bYU+YCI0ao2wbHRgonohnx0plo2H3QPXq2J9+DlFRqIQEdK1aMqEtLJSO2XXrQV4e6mKp8qRvGCCTcKXg88/hok5ysZmZqGNJ4psArAXzpbRt3KbilCndtm1x/w0K5BzqwAGZ71qW+CAaN5YqTkFBcqzLhcrMlMZ2Pu5qVKrUBLlIWBw7Jvu8iyId7v3e3sVCRP3yC0vCw+mRmVkyRqVKqJ9/Ro96EvX0U+hGjdBpaTKGw4G+9FLUwYPYDzyANeIB7GbNpdmfry/qyBH0gAFYQwZDcDDKy0sEmEKiNDffAqmpqK++QF96WUm52ZatUCt/EsFUsxb27LlY7dpKFOLXX0UM/rIJIiNRP/+M3bMX1kMjROgEBsrfslkzCAnGfn8GXHU17N6N1ftqaNQI/fgTWANvJhcvnqQfxwk6A+9ag8FgODPolq3QKFlY+Sv4+JTp0VRE6QZ5QJlysynuVKgzXhVq0ULWGmFh+AsYYWE4a9QjgfF8QmN+v+ReFj7o96ahu3SRRmg7d8KxRHTLlljzvsH+aKbk7HfuIqvqSUlYN92IWrlSujPfPkj6XLw3TVKYbBsdEgrp6ajnn4P69VHDh0GDBpKbH1kBtWcPOrqmjOeOFOh69VF7dqMeeAAAPfkVqFcPtWgh9m2DiqslkZkB4e5VoYwM7O6xEglp1QoA9csvxZ4OtWWzrM6npEjUo6BAhERODoSGoQpdJebtPPcKlYdniQm9iNK9KgoLJRXKtilWFgGB0s07JAQVt4mNGZm0LEqxcjjQVauJUGjXDrVmNaqwEJWYINfh9qjg54fauRP8/LAWL5JoRdt2EBomaWI5Odj3DIfvlsu5s7PRnTtLdCMuDt2sOer7FeIRueQS1NIl0pW8Zi3s96djxbRFDx2K2rjB3YDvMxEf3y1Ht24t5X8dDhFIAQHoBg1ENH4zH6KjUTOmi+iZ8iZkZGA9cB/25FeZRytMlMJgMPzT0DEx8ln9NxvlnUhxKpQuSoUqFbHITcXb4Y2vRzlFP/4uBQWotDSTWmr4SxhhYThrbKYaL9OLXsTxKF8TTmbxvv6sogonhIiv64M94wOp/R1ZEWv6dOyBt2K98Tr6mbHSwC0iQib46emoF8ahHnsU+8OPsMY+DQsXYs+aDY2boCyFDguT48Y9L8327rsX2rTFnvouRESgdu+SSlReXrB9m6ykV6mCencqzJ8HYWHYY56Chg2x7rkLffc9IgLy80UohIm4sJZ9K6lcmzfLfSQmimE8O1s6dzdqJJGIatVLek6MH4du06ZsScGsLIlo2LZbZJTTRdodldC2XXZFKyAAUlPRDRqQlJNDeFpqyX/ukBBJkbr8CtSbb0iKUXyCiBzLQnfvDsePYz/8P9QbU9BOp4iKJk1QiQnYN9yAWrwIPXgI1qSJImyysqBGDVRBoZw3PBy1dYtEMHr2Qn39tQiZmjWxX5+C1b4d9hVXolb+hH3jzVjvvYfu0FHKz3p4ol5/Te5Ba4iqJH+X2wahX30NcnJQA2+Bo0exX38D65GHICtb0ttq1TrhBdJ0YjtDWP6X368Gg8FwRmnbTtJ4/46BuxwsSjpvgzti8dWX4HSSkptCmG9Ysfg4I6z8SXo1GQx/ASMsDGcVT2wqkkEK/jzCN9zAKjwpJB1f3uB9nmEOT/B5SZfRqCjsWXOgaVPw8pQGa3XqSrpS1WrYtw+G9HRZSc/JQS1ZjNWrB/Yrr2G9Pw1160ApM9uypZSkDQuHjAzUC+OhSlXU/fdBbCz2pMkiJA4flhUlHx/Uyp+kvKyvL9aNA+SaLush3bttGxYvkh4UIBProj4UubnYHTrKRD3InY7j6eWu1OQpaUMuFyrf3VHb4cCa+TFceqkICIfD7bNwibBw5kskweU6+QV1uA3dpftdAPh4ixm8UmWWBgZyaWqpUrQVK6J++w09egzqvXehYpT0nMjNFUGUkiqdut97B12nLmrPHjHDFxSgB9wokYQ6dYob2+F0ShSmRg1J28rNRR1PEhHV+1rUjBnSK6RmLewXXsTq1gX71tuwjhzBvnUQ1tS30Y0bQ2KiVJP6bjkEh8hrULcuREZiT30XfX1/+OF7rOv7oYffC9HRWHfdgf3Ms+gHHyzbmRyoQgrPMJfaJPIBl5zmO9dgMBhOk+BglMOSVNm/wwnpUMXlZm3x13k5vKRhq8NByllojqfmz0dffsUZHdPw7+eCExZTpkwhOjoaHx8fYmJiWLdu3e8eP3fuXBo0aICPjw9NmzZlwYIFxfsKCgp49NFHadq0Kf7+/lSuXJmBAwdy9OjRMmNER0ejlCrzGD9+/Fm5v38bB4ngf9zIIcLxxEUguYznE1IIpB/3Y6Fpxx6sq66U8qPuFX19+2Ds16agUlPAVYhasxp9SWes5cuxX3sNtWe3rKS4XLBzJ1anjthT3oDAQFkdf3earIiHhcmKfWYmauKLks9//33Qty969FMiBFJTpayqh4esoNesCS4XVocYiTSMGw/16qN++knK4Pr7y3VmZIC7NK21aqVEE4rKu27dIoIlMxN18KD8nJhYEpFISJA+FyACxbbBdonAyc5G5eRIFasT8fSUSX+RMRvk9QoKktdizx6WeHlzWelmgdWqQ3CQlHYtLJTrKSiQ53XuDFu3iK9l1SrUxg1yz61bQ1g4zJ4tAqlmTXmd3JWt9MWXoCtUkO7ZIGKvT1/UtPdEGNWpg/3EKKyrr8S+826s3buxBwzAmvmxRJKCg1EzP4b4eHk9PRzQuDG6SVPsefOhZk3UqCdQH32EPfUd1Ouvwt692F99Aw0blnlJvCjgNlZwB8t4i1g+4BK6sYVYfjuj72WDwWD4q+jKVaQCXjmeid/F4ZCobylOjEZ4Obzkc9/hICUvhdAzbdze/Jss8hkMf4ELSljMnj2bESNGMGbMGDZu3Ejz5s3p0aMHx44dK/f4VatWMWDAAAYPHsymTZvo3bs3vXv3ZrM7ZSUnJ4eNGzfy5JNPsnHjRj7//HN27NjB1VdffdJYzzzzDPHx8cWPe++996ze678JjWIRLRjF9TiwceLBRWznRWbyDa14lAFwPAlefAHr8l6wbZs8sVYtKS1arTr4+mF9NhfdrTvqy6/QDz0sXaCrVhPvQlKSVHW69FLs6/tjNW2MfvwJdI8eUgI2MFBC0pNeEh/CA/ej77oLfd/9MrG1rOIKR+zYATVryYr6jTeAnx/261OgShWs/z2Cvulmub7sbCmFalngdEr1KpcL7eXOe63uTn1yOtG1asu+iAi3iLCL07C0n598Odg2+Lh7WeTklK36VISliqMkxXh4oFwiSti+jfisTCoX7QsJQR09in3X3VhPP4WuWw8S4kuE1N59ULUq1sSJ6OrVxXweFYVKTcXu2BG1cwf2wNvghx/ki9HlQl9xhYy7cqWkgx07hn3tdaj3p0k0o0ED7PsfwLppAPa992Ft3yqm7mXfSlfwunXk71BQIF+eQUFSieuWgej3psHhw1i9r0a3aIG+8kqsu+5EP/gQ+olRIqxKs2A+45nFbqIYQ1/CyeIFZuJLPt/R6My9iQ0Gg+HvEBMjfYkOHPhrz/MPgMNl/YkWFrpUiqyn5VlcoCMlN+Xvdd1eslgWyUqTlQVffiHZAmcytcrwn+CCEhaTJk1i6NChDBo0iEaNGvHWW2/h5+fHtGnTyj3+lVdeoWfPnjzyyCM0bNiQsWPH0qpVK15//XUAgoODWbp0Kddffz3169enffv2vP7662zYsIGDBw+WGSswMJCoqKjih7+/MTP9VXLxZjHNCCCPOhwjDT8eYj4j+Rp7xQ9w003w88+o/tdLSdK8PDEeP/Qw9jNj5cNv/z5UgVMmsJUrYffuLSvoNaIlOvDo/6S60cRJWBd1QF96Kdx8C1SvITn8OTmoV18Ro/KDD6CfGCVCwctLIgdOp0x4jyehq1UXr8CM6dC2LXrQ7TK5jouTErUgK0pFDfU2bBQjtO2ONOzeLf9q7Y68uFDePrJNKXhxPIRHoDw9Sybtnh7yoZ6TK9dRhHu1S9u2CJmiyAjIdSceQ1etyua8PJqWToOqEClN6a66Wl67w4fkHkF6axw9gn3TzZCRjtq4Ua41IADdpx/WK5MlSvTRB27fRx66UyewtbsxXg04eBB95VUSjnc6oX4DSXe66y4RF+vWyRfqnt2oxGPoCpFYkybJ660s8ctUjMKe8ib6tkGoae9h/e9h7AkTUYsWoVavxv76G3Ab44tX/Q4cQN14A2rlShbQnGv5mSf4gs5sYyzX8QXtcOE4I+9bg8Fg+LvomPYoS6F+/v3sipMICoSDJxQ+KS9i4Sblt3V/KxXKevMNWZwrzbJvUTNnyiKSwfAXuWCEhdPpZMOGDcTGxhZvsyyL2NhYVq9eXe5zVq9eXeZ4gB49epzyeID09HSUUoSEhJTZPn78eMLDw2nZsiUTJkygsLzVZMMf4ksBqfiznppEkU4KARRgYTWoB7/+hv3bZlRgIOrtt7C6dIbvV8gTa9SQEqSHDqEBtexb7A4dsTZtwh7zFCo9Dd28hZSMnTMba/Ik7DlzsW65Ge3hQD/0kEyE/fzEE/DGFFmxf2gEevIr6CuulAm7u9EdKSkohwOCQ7CG3QO7dqEffwJatUatWyteD8tyG5kzZeXdVYiuX7/EG1FQAMHBIpCSkiSikHSs+MvB+vhjdMeOkJkl22wbUPI8p1OiIUUUTajz80u6dRcRGCQCp2JFFgcEclme28thWejICugmTVHjnpfITVJScWRGpadDm7ZYr70m22xbjOYRFcTAHhSE2ra1pHdGdDTKslDr1kkFrZ270LGxqDmzId8J9etj9+6NNfJR6WC+bh3s24vu2g11YD9kZ0nTOz9/uYf69dHNW2AvWCidZm+5SUzk9wzHeuAB9KDbJQ3N21tE2Wuvoe67FzV+HNaD96P7D0DFxXE5ceTgyYdczFxi8OOEiloGg8FwvmjUCLJz4K8auENCZFGoFOqE6ndlGuRZeX8+FSozE/XxRyXNWU+IBKtFi1BpqdCl61+7ZoOBC0hYHD9+HJfLRcWKFctsr1ixIglFxt8TSEhI+EvH5+Xl8eijjzJgwACCiky4wH333cesWbP47rvvuPPOO3n++ef53//+d8przc/PJyMjo8zjv4qFTXWSin/fSlXe4FKiSGcvFdhOJQrxgCZNUGvXYNWrg33DAOw33pSeFUOHoIYMBpcL+6tv0FdcKQ2H8vJQa9ega9RAbdggq922S6oxAfz2G9atA6V3wqRJ8P336BdeFK+Aj488f+rb4LJRjzyMnvGBezXelomvbcPuXeiKkWBZWJ06gtZS0jaqEtZzz6IvvUzOlZ0tXwKA2rZNBEeRsbiobGxhIbpKVREd3t7yYZ6QgO7VSzwJ7pKzqsDpjl4UymT9BJTTKV8Cdin/hb+fCI3EY/zocnFx0b7AINT+/ejHH0ctXIDKzpYUKq0lepObi65TBx0YIP0x/PxQubnoihUlJ7hJE6l+5XJJuljFKNizB92gAWrLZnT7GNS8eXKPDRpgd+2G9cJ49KBBsGE9au8eWfFKSoLffpPeFT4+4O2NrlVLUp8+ngkb1mPd0B99591w5Ahq1ifom26Eiy6S+9i4UdLc9u9Dbd8OFSLRlatIharMTGbRkRe5hr6s4x6W4vEneqcYDAbDOcHhgKBAqZr3F9BhYeJBK4VVXsTCveiU4lHw5yMWcZvg6FH47Td002YnnFhLxcTQUPm8Nhj+IheMsDjbFBQUcP3116O15s033yyzb8SIEXTp0oVmzZpx11138dJLL/Haa6+Rf2KvATfjxo0jODi4+FGtKG3mP4gvTvqzhif4gmjEC5NAKOPozZe0owKZbKOKRBOqVpXSrk+MxLrnHuz5C9EXX4L64nOsLpegZs9C33MP9rvTJHpxLEka4R04IB6KSpWwu3aT3NTAQEhMxOpzLfbTz6B+iUM9Oxb77alQp458YObno6a9Czm5qMceRX/xlVR9cuZLZAO3UKhaFTIyUZddKqvsj40UIZCYKOcBiRi4J/y6WvWSCIM7nYuCAlRKsqQ7BQfLPtuGxk3kWKVk9agoEmHbJVWkoCQVyl3JqbQRUHv7gKXIPbAflZlBcVA7MlLOu2eP3M/x4yIC3KJHX9YD9eUXqH37ZLzISHSvy1Fff4WuWQvWrJFrtCxo0lRERuXKqN9+RTdtilrxvdxf/QbSc+Ttt9D9rkf98ivqwEF0p4shLx+1aCGkpUlFq+Bg8VO88hr6jjtQIx9DzZmDPfJxrGeeAg+HdOBu31FW1R4agXrxBWl6qJSUzH13qvTC6Hs99rz5NOYQ7zKVqiTzHL05wpk1MBoMBkN5VCDjT5mydVHD0b+S6RBRAZWYWGaTOuFURQ3yXIUFpDoKCPP9cx4LtX4DulUr1Jo16A4dyu7cvBnt54e+rMefv1aDoRQXjLCIiIjA4XCQeMJ/tMTERKKiosp9TlRU1J86vkhUHDhwgKVLl5aJVpRHTEwMhYWF7N+/v9z9I0eOJD09vfhx6NDvN4j7N5ONDxO4ivfpTD/W8gRfUNMtMPZQkSe4ntXURWVmoTtdIqKgXj10ZKRECXbuxF64GA4fRo14EOuKy8GysOctQF95lTR5y8uFVSvR9Rtgfb8Ce+hQADEjZ2VhDbtHGhVVr4F14wDpY1G/gYgLpxP1wXTpdzHqCexFS2Rffn5JeHjfPqhcCbVmNbw4Hn333XBRJ1TcphIjt9NZnKeqDuwXoaDcE/iiZnYZmeDtLR22i/hghlyHh0exjwGQKEE5pjlVlApVqiKUcjohNIwfnU4uycou3q79/OQ1mvwyePuIdwNEZBQWopKPowMCpTlg9eoQWVHK0Xp7ow4eKO4Irtu1Qzvz0R4ekhJWs6bUZc/LFaFVpw5q7hzpX7F5MyQfh8aNwGGhPvlEzulwiEBr4U59Cg7GuuYqaSoYEiIVwXx8oGp1qfy0YztW72sgNweVmyOC5+ef4dO56DZtpYeFlydW65ZczHbGci0jGIgTT0Dja9KhDAbDWeYa1sPPf9z8TsfEoH18SwqT/Al0xYpwvGyvJyslpczvXsoDlCI96RBaQdifTYXauB5atYY1qyGmfZldavEiKTjS6/I/fa0GQ2kuGGHh5eVF69atWbZsWfE227ZZtmwZHU5U3G46dOhQ5niApUuXljm+SFTs2rWLb7/9lvDwPw4lxsXFYVkWkZGR5e739vYmKCiozOO/zlHCmMBVTKMLfVnLKD7nWtbyIjMZwCoxZzdvBh4e6Es6o7w8oW5d1MEDWF0uwb7+emmc9v0KrB6Xol56CT18uIgEPz9URgbs2yvlZj/8QCIdPj5isnY6UVOnwv590nDvil7YEyZC8+YiBlwu1Ccz4dgx1DNPYy9bLp6OotUlW0NiIjo8HGvMGNi4EXv6DOkP8c5UaNRYjsvKAi9Jc9KRkRQ1uCsWEkVVoZzO4qiBevstmfQXiYiiBnpay3lLi4uiqEbpbZ6ekJ6GDg9nsbc3l9luf4d/AOrwIfR110la0/EkOa97bPua3rB9uwgIy0Iphc5zG8Z9fETYuFzSGRspb6uOJUJUJdSOHZJSVb8BOjJSOmx37Ijavg0KCyAqCp2fj5o9G7w8pfJVzZrogQOxP/0c9elcrJGPYj8wAuvdd0XUZWdhT5qM7tMHdfONqK++kgpY9Rqgff2wpk6F4CD021PRl/XA6toZNekldP0G7COSA1RAuZvjTWAmrdh/Vt7HBoPBUMR3NBLf2B/RLka+h/6KgTsqClLKCosTPRZeThvt50fKMak4FfYnU6FUWhqEhkpRkRPmPOrHH+QslSuX91SD4Q+5YIQFSErSO++8w4wZM9i2bRt333032dnZDBo0CICBAwcycuTI4uPvv/9+Fi1axEsvvcT27dt56qmnWL9+PcOHDwdEVPTt25f169fz8ccf43K5SEhIICEhAae7cs7q1auZPHkyv/zyC3v37uXjjz/mwQcf5OabbyY09G+UdvuPE08IDmw2EU079tKQo3iTj3XTAPjoQ+zx46FSJQgLkxBtWBjUrIU1azYcOIA9/D5Jf3puLNZFHSAjA3vhYvSVV0lDOw8PqFZNTMeFLnSbtuJ/cHig1q3Devdd7KfHYvW9Dvue4dDxIvB1r+DPnQOHD6EmvIj93fdQsaJ7gi9N4VReHnh7Y8V2g5AQ9KSXxSCtKGlyZ8kHvyry8bhFgPbxgcIC+UDXGu2uKqYyMtBRUSVejCLjt22XNW8X4XKVHAsiLPLyIDubLfn5NC7aHllBuou/NFFyZYvqqPv5iWdk9eoSv0VUJXRMDOq330SIFYXs/fzA1wf27hEfSVCwlD/MyYF69cHXRyIXLVqI9yIgEI7Gw969qB9/lMpPvn7SSO/V19BDhqJuvlF6XrRug3rzDXBY0LCRCI5587DuGALOAvDzQ7dth/r4Q6nyNWoU9qgnsW6/Deu+e9HVa0CTJugbbyKFAFqxlwl8TFVSGE1fVlK/3PefP3nlbjcYDIa/yh4qSq8H+w98XRUqoCzrrxm4K1cRA3UprBPN23lO8PMnOcktLHz+RMQiPV3ScePj0RWjTtpHdja6Q8eSbfHxOCinWavBcAouKGHRv39/Jk6cyOjRo2nRogVxcXEsWrSo2KB98OBB4kuZnTp27MjMmTOZOnUqzZs359NPP+XLL7+kSZMmABw5coSvv/6aw4cP06JFCypVqlT8WLVqFSDRh1mzZtG5c2caN27Mc889x4MPPsjUqVPP/Qvwr0DxGj0IJgcPbLZQmaqkSvO15BSs/tfDjz9gP/e8TGSrV0c3aiim7MhIrNdegQoV0F27wbZtWL2vQd1/L/qeYei335HJbKELXas22tcX9dOPIjp8fNwfpkexHvsf9tixWA/ch33RRWIwDgwUX8OXX0pp1NdexV72HYSGlUQQMjPRAQEiMtq1RV/fH92rF2rLlpLupHl5xYY3HRJSnLKkilKccnPB0xNVFA3RWr5wir6Y3M2OsO2yAgJKKkcVpTSBmLC15kj8UapkZ8vXTlFUYtBg1C+/QHKKRCIsS6IQl10GuTmQlSXXWCkK9emn4n84fLjEV1GrtkQnNPK6Jh+Xc9epC9qGvXuhQQPYtw9dqRJq7x4RQ8eOyT2EhUHzZtgLJLRu3TgA3fd61PLlsGcPynZhv/4GOiYG68rLYdNGsBzo9u1R69ahlixG33QL9nvTUJNfxurXV/6GDRugr++H9vbGmjGdBhylFft4mV6k40co2Se85zRNOMQoPmcYS4A/zok2GAyGP0ah23eA36k0WYSuXBm1Z/efH7p6dUmfLX22E83buU4ICCAlTZr6/qlUqE0bS9Kg2pdNg2LZt+DtI1US3VgP3o8f5SxyGQyn4IISFgDDhw/nwIED5Ofns3btWmJiYor3rVixgunTp5c5vl+/fuzYsYP8/Hw2b97M5ZeX5A1GR0ejtS730aVLFwBatWrFmjVrSEtLIzc3l61btzJy5Ei8vb3Pxe3+K8nGh5l0YiQ38DN12UtFdLt2kpaTmgYHD2Jd308iFI+NhIBAdL16EpqtXQednY1avAjdtausmk+fjtW2NezZjb3kW/SVV8LxJJSvj3Ta/uxTdJ3aqOBgSVHKysIa8RD65oFY778PgB54q0ysbVsqHW3dgnp/GvaixTJ5L6radOwYhIWhdu9G3X8f+t1pkhI1f55MpAEKZXVHpZZdbSpKZdIBAWVFQ1KSO7LhFg5Ffgt3CdiTKFVqVnt5gY8PS10uLiva7usLqWmo+Hi59rRUETg+PmJ6/+47mfwDyt8fffCgnD8zU86ntQi5o0fchnSXRCwyM+XvkJsrRu5q1eDAAXSVqqidO0V0FBTIc6pWRd90M/bnX6ImTkB98QX60kux3pkqFa/axWDP+BD1ymTU88+JoKpdW8zms2eh27TB/mgmrFuLddmlqNw8qFsXfe116NAwrJkzUQcPop35VOcYjTnEBD4CIIgcAsjFk0J68AsvMpMO7ORtuvMiV8vrbDAYDGcA3e/6P5cOFdNeor2lm5v+HtWqQU7ZRZKTys3m5oO/P6npEiH/M1Wh1IYN6NatUatXl41MAGrhQll0atlSNqSlgW2TWVISxGD4Qy44YWH4NyArxvl48hkxPMJN0KcvNGsmH3iHD8sH2pbNWDfeKKlDQ4ZKjn2zZqiICpLutHIlHDuGvvZaSEjAGnQb6tre6NsHo998GywHaND166O2bHGXUG0qqVGuQtRrr0i52oMHJLIx4iGJUGiNWrQI4jahPvsU+/MvZbJeFLk4dgxCQ8Qf8fPP4rdwONBFqXGFBVJSFqRMa/Ftaxk72/1l4eEh/x4/LpNxhUzsi8zZBQVlhUVpH0bRpvx8dFAQ3ypFcceW0DCp+DF7VslkXymJVjRsKE32bBsiItC1aqGSkuT+ikRFxShpRujnB7l5MunPyBCTdkqKCIPwcDh6FB0aKoIwLU2iHF5eUKMG9iuvom+6Geu63uh69VCHDsHGjeDjjf3WVHSFCDFn798P4WHyd/jqS/D0QL81VTqtXxaL2rUTatVC9+6NjqqENXcuau9edHYObNmC2riRAJxUJJM4ounEdq5kE7fwI+OYhQObUVzPO3QnieAz9P41GAwGN40aoXZsL0ljPQU6Jka+FzZtKrNdvfeuFAg5kcDAk6pInSgsPHLyJWKRmYiP8sLX808IgI0boGUr8cQ1aFDqAqXMrK5br8QD+OUX6Gt6U4VkUxDD8KcxwsJwzmjLHmqSwEt8yNu8Qwd2EEgOPhSghwzFXrwUBg2CFi3QLVuKTyEtFVavxrpjKLpyFTEjh4WhW7eBSpUld/WLLyAwEN2gIWr5MqyYtqiffsJeslTSnApd6CZNQYNa+RO6bTuZ8Ht6on78QbpH16uHeutN9JjREBYuH7LffgurVkozvukz3JN/t7hITQVfX6xrr4FmzdE33IDaswddtNJTFJHIPjEth5Imd0W9LnJzRGQUCYeipkV/lLcLkJuLq6CQ5NxcIkDGyM9Hd+ki6Urp6XKctzdERaHi4iSS4uUlv//4I4SEynUW9bewLLSvnzzXYUFaGrpWbdSxY+INCQyUKIunJyo5RYSRwyHPbdYMe/5C1N59WKMeR196GdasTyA7C7p1w540Get/D0tzJm8vaNAAtWEDavMW7KeeRsdeitXnWtTihVC9Bvqa3ujq1VFff4XatROdmQnbtqF+/UVEU24uu4hkJ1Hk4UU+nvjhZDX1eJibWEBLd6Uog8FgODvoiy+BH3/4/YOaNZMS5yf6LAoKYNvWkt9dLti+vdyqgKX7WDiUA5WTDX7+pOSkEOb554rEqMxM+fz38ir5DgL45Re0t3eZbtvqm6/RV1/DHSw3/YEMfxojLAznjESCuJpNFOLBPiIYzhJm8CZTmIa68w4xAN94k6QzDb8X2rRFN2+BOn5cBMaihVgPPSST965doUIFaNpUclG1lt4GzZqLEXvko1idOqKv7w916kiX6UpRUKkS6vsVEBEhAiUwUJqyff459tXXoMaMwR71pFSgAtRPP8GK71BxcejJr8gEusjrkJcHWmM1biiRkEqVUHFxJWVqi/49MW3OttHe3iWrUVqXGKnd+9H65JrnSpX9snF7MzalptDaXWwAHx9wWFizZ5f0xSi6Xl/fEqETGgq7dsmXS1GqlJeXRCIcllQL8fSClBR0zVqohHh0hUjxg6SmytgZmVK1xOGQ6Mf112N//AnW/x6WqI6y4KcfIThYqnelpWENuV2ESM1akJ4hKW0Db8W+/36sh0ZIR/TKldFX95aytosXycpaWppUsdqyWURKYSE6pj107co2quHCgQuLzVTlEzoQRzRFKU8KTSv28RhfEWDM2waD4Qyj+12PmvMH6VBeXhAQCOvWln1uvXqonbtKNiiFNfLRcoewVMmUzdPylM9zfz9S8lMJ/zPG7ZQUdEgobNyIbtW6zC61aKGknHZ3x76PHUP7+kJODoU4TDqU4U/jcb4vwPDf4Ro2oFHM4GLqkEgEWSg09UlAzfwYtWQxNGyI/dDD0Pta7N7XwpLFqFdfhYx01JatksI0Z7b0abhloJSazcxER0WhfH2lY2hOjqRMxcVhde2MvmEAuls31E8/yiS/QUPYtVMm5g0aws4dkJmJ9eYb6FtuwRrzJPZDj2BNfUv6Z6xZg3Y64fIr0KPHoJ5+SlaVCgtlsp6RgZo8Gfv5cVhDh6ArVEAdPVrihSinkaJyi5Ji3GlSQEmk4qTnnSAsvLxAWSyxbYpaGenAQOgei1owX/J5QQROdE04ckSuOTAIHRQkfpGi0LpSUKWKCJz0DInoJB9H14hGHT2Crl4DlZsj952VDfnu6/f0hKgo7BdehIAArEG3oWNjxXOiFNx6G3aDBlhDh4CXp1QhycxELV2C7tARffXVWI+PFOEXFSU5v8ePo1Ysl/vPzoZDh6RUrvuedYeOEB4mwvLAAY4TiBMHbZF0glw8acwRUvCnJkk04xBx1OA9upCF6SRrMBjOMHXrovbvQxcWlqS4loNu1gy1dk3Z8hF168Fnn5X8blmnbLpXOobh6fBEZWVBQADJBemE+lX84+vcuAFat0GtWX1SYzz1w/eysFRUsfCzz9DX9UF98gnf0uSPxzYY3JiIheGc8Ro9mUdLYtlCJ3bwK9X4hI6spi66TRuZUH//PdaNA7Datka9Pw06d8GevwD7+XHQubP0jMjIgORk1PvTUG+/je4WK1UuoqOhWnUIj5BGbd7eEnp+713U/HnYtw0S30BmhjRr8/VF/foLunbtkg/TDz5A16+P9epk7Cuvgpo1ZfvGjfDlF9JM7s67SqUx5cqYCfFY48ejh94hoqJCBdlfdJzDUfbFKCyUfQ73l9CJIgMg78SqUCcc5+kJPt6sLiykqLaHyssTY7VllUzGtZbIQmamTPYjI1FF0QotIkZXqSKva1o6BAaIqKhWDRV/VFKRMtzlatPSxFCotVukNcD+6hvUypXyRRQeDt99BxUqYL/xFqxfjxr9JNguqRz16y+o/Dzs58ejtm7BuuMO8PRE9+iJrlMXtWaNlG9MSICtW2HPHrkPLy+IaY+++mpJ4fL0kr+bw0Esm2nGYTZQkwIs7mUJA1jFxewgjmge5iY+5GLjsTAYDGcN3bUbfLf894+JiUE7C+QzuogqVVBHDpc9UJVa8HGWVGSySk3ZPCwPKQ3r70+qK5uwwAp/eI1i3G6FWrcW2rYr2ZGSgs7JQV96WcmxixaIF2PJItZR+w/HNhiKMMLCcE7ZS0VepSdv0p1+rONFPqET29EXdULfcSe0aSOVm7Zvl07bzZqinhwF9epjf/El9quvyYdfg4aymp18HPXmFNRXX6K7dUc3bYpu0AAqV5G0oKIqTEeOYD3xODosHB17qXxgBwdDjWgxdvv6SlUnT0/U2rWS4rR4Ebp+fWjUSDpcb94Ms2ZJ2s81vUs+/LOy5Fy7dkq51qrVJN0HypaRPRGHQyouFVE0XtGxzvyT82xL+y5smwzbxtfpxAtk8l3J3SG8qCSthwc6uqZ4E0BSoPbtLRZdRdtUUpK8ngH+kJQklZ7i46VEYrI73SklRaIgliWelmt6Y789FeuhB9GBAagtm1GHD8GAAeg+/bCGDhEvRPXqIgTjfsF+9DG0n59EdjIz0V27oOs3QMVtQv36q0RVtm2TKEVhoXQtj4kRb01AgJjra9WCXTuxPvoIHRjIQcKoTAo9+BUPbKYQy1t0JxV/NlMNbapAGQyGs4zu2w81d+7vHxTT3t3PolS37vIiFKXTV48cKbW55LPM0/KU6HFAAClWPuH+f0JYbNoIzVu4P+sDSrZ/u1SapBZVzTx8GO3phfrfI+iGjXDhKH9Ag6EcjLAwnBcOEslzXMt6JCJgvTAe9dQYdGoa+u5hEHspuk4dSDqGenkSVptWqBsHSD+K2XOwp70v/Snq1ZPJbmKilC5dsxrdpSs0qI9u3AQqV0YV9WXw8EAtX4aaO0eEQVCQTK6rVpPIQ2YmOjpaRMLx43DwICrJLRDatBVxsWsnfDBDKlh16lRyQ7m50sF68SL0oNulSlRISNmbPlEkFBSUH6k4MSWq9P7S21wuvsvJoUvR8X5+6PruKh9Fq1xKoY4eQeXnS2TAdqdcFYkKT0+JVGgNfv6QnCxpZQnx4OWFSkxEKwXJySWiIiICPWEitIvBGvuMdCT//geoXBn7xQmoT+ei3n5Lohcul5Q17H8DunVrrP89gtq1G92+PTRqjNq+AxW3SYTEju2QEC/3GBoKHTtCr8vBxxdcGu3jg/p+haRRtWgpXpoFC4hhL8kEsJbaHCOYoazgBlYzj1a4zEecwWA4F9SsiTp6pEyE4SSqVAE4ycCt/fzKFPrQYeHymRsYBAcPFm8vXRXK0+Ep0WM/f5I9nIT+mR4W2dmycFSzVtntCxfKZ3uNGnKeuXNLCnncMvCPxzUYSmG+dQ3nBRcWa6jL4wxgAS2gbl0IDUPt3IF1/72wdAm6VWv07bdD48bu5nVfYHXrgnXxRXBgP3r6DOxZc9D9rpceCHl5cPQo1isvw65d6M6doXoN6RIdUaGk+VxmFmrSS5CXh46NlRSjsDB0WJiUMo2MLI52sP5ndEQEHDoolZaUQu3fj5o6Fbp0ldSsIgoLZbL76mT0nXdJl+0iAzecvCqltXyYl1P9o6g8bJl9RabuUs9f4nIV+ytwuVA/ryvxVjgc0j286Hd/f+nkWnqMwsL/s3fWcVJV/xt/nzux3cv20kt3IyidIqCohIXdii0YiN2iomCLgSCYSLd0d3dud+/O3PP74zOzs5SiX0F/Os/rta/dnblz594zu+ecTzzPI8cFBEB2FjoqSrgXbpM+qxWVlS1ja7VCzZqYkyYLh2P3bgnoDhxADx+ObtoM48EHID0D7e+P2rMbnVQH3X8A6v33UIsXSUDWqJFI/K5fL9WTvXslkNNaXMg7dxbTqaBgyEiHdWtR8+dCYQE6NlbM9aZNhWPHISiYAnyJI5tWHGAH8QzmPm7nVo6ITpYXXnjhxXmD+upLOCzO17pbD5g/7zeP1/FxMk9XRu0k2FfJPC8mRtpBQ0JOqlhUdt6WioVwLLKs5b/vup2ejo6sglq5AirzK0xTFPcu6uC5p/lzJSGVlwuNGzOMZb99bi+8qARvYOHF34YGHEMDc2mKOWMW5sSJ6G7dpIJgWDA++xT1zjvozEz0bbeJS2iYKFoYQ4dg1K+Lmj0L/dZYzOkz0DcMlzaZsjI4ehTj3XckA9+1i7TjVK/h4lK4SMc7d6K+mSTqQuERUqKOiRWZW1e7D0qhfv0VHRiE2rhRHLaVguQTqPHvowcNEr6GG1oLmfuXX4SfUcnM7oyoTNo+BccDnMyvcXLVYm84FLu5gVqz3+GQ7lerVczr8vM9GTOLRdSZ3AFMTs7JgYpSYLWBjy9kZ6MjIkSByzA8Xhp5edKu5eOL7tkT87kXMJ4dg7baUOvXohMTMR8bifroI9RPP6GjoqXtqbAQc9g1qMWLUJO/gVq10E2bQVoaasN6WUQPHpDrBUhMRPfoiapTF+0nQQlLf0Xt3YvueLHwYVasEJUuwyKfjaEgI51AiplPQ0ZzJV9yCaXSGOaFF154cd6hExJQX34hP195JWratN9+Qbv2kJp68ryflCSttG5Ex0BqCjo8HFJOVDyszqAK5fTzJcdSTsTvVSxcxG1ONcbbsEHWj74umdl9+9D+/uiQUHTP3q5AydtO6sW5wxtYeHGBoBnNNO5jNr3YRADFDGcxkxjH3cxF3XE7xnvjoP8A8Z948UXR/Q6PQB07hnr+eVixArNBQ/SgKyVQSElBPfooRlJt1OuvoR99DHP+QvSdd0kQUV4OB/ajPvgAioskaKlRQxy8DZePhNOJ+mYSJJ+QFipDCdfCYpGycXQ0WCyiNpWfj1r6K/qyy2RTnpGBeudtCWjCXJO61vLckcPo2kmS5f8tl/azBBUA0+tAn6FmhYKI1iZN74QPWwJKsd/hpIZ2MQjsdlRBoafFSSkhlVcOMtweHO7nrVaw2yA/T6o12dnyuM0mlYySEvk9OBg9erTwUaZNhfw8yXDddDMEBGK88DzaboPCAtT+/ZhDh0rl6IMJUKWKtC3l5EiFYs8eye4VF8u5a9ZE9+wpwVlpqZgSLluK9g+Qtq7MTNSC+ZK9c90n+XkieeviyRwjgh1U5SDRRJNDc85gNuWFF154cT5wSSfxAzJNMW7NSJe58yzQbdqitZb2T/djSXVEUMONmGhJcEVEyHcXKvtY2C12KCwkh2K0gvDfCSwqHLcPH6poeQKRmaWsHNoImVtN/VbWxuIi9LBhqImfM5um5zoaXnjhDSy8OJ/QtOQAdhyAYgxXsp8ormMpk3mXWqQCmkhyxZ9g61b4/DPUHbehlixGP/Qw5sxZ4rpdrRrY7RgzfpFAICsLPXQY1K8nErQffoDRuCHqxuHoQVdiLl2GfvgRUYpyOGD3HtQXrqzSJZdAUm2R1lOqIrOvJn+DTkiUtik3mTstTbLjNluFA7VavBjdo4dMvrm5qLfHom+/XTbyIAuMYaAWLkAPHnJGudlzQWAZOA0odVUoUgKhxAY1swGLhbmmkwoND19fOHLYUyHx8ZFqA4Dd53Q+h7sqUVgo0rM5OR6lp/JyCUgMA2LjMMe9L07kycmoPXvQ1aqjrx8u7U2bNqIVqCNHRBXFYsGYMF64MM2bQ0mJVCj27oXjx+TchiHtaZ06Cdn8yBHYuBG1Y7sQ7y0W1I7tqM2b5LOzWuXanE75HhwM1aqjB16O7tWbzVQjggKe4gduZSGN8CzYXnjhhRfnFYYhbbeLFwFIln/O7LMf36IFyumEyu1QdepI0sUFHRMjPhJRVSAtveJxdZIqlA1VWEBWUSbA73Is1OZNUKOGSJJXClDUksUiUuJSLlSLF6Eys1ABARVrWRaBZzmrF16cDm9g4cV5gxWTmqTxNN/xHN9yOWtc8p/X8RmdKcdCKMVEUii9oqaJSk5G7dwJa9agxr6F8cD9kJOD+fobmF99je7aTcztsrJQn3wMW7di1qkDXbtCUBBq4UKMzp0wLumIrl8fc8Uq9NPPQPVq4HTAtm2oH38SInObtsLNCAioaP1RK1fAvr3izm2zSSXCzVHwdXkg5OWhVq9GN2smm+SCAtRrr0pwYXe14TidUg35bhq6Vu0/PnhaE+gqNhS4TnkgVL7XzJbnFwFdQRa2qOiT264qE73LTgls3LyOkhJ0YKBooZumPFZcLOexWtHt26PvvAvjs08gNwe1bx/mDTegsrNQH32I9g+A7BxxQA8LF3ng1BRwE6s3bJCAIiVFxsNmkypUmzbosFDYsgU2bhRZ3bg4qWqsXSstW06nXJPTKdfj7w/x8eg+fUXVq0oVOHEcdfAAdThBMw5iwYkv5fjwO+1nXnjhhRd/IfR116MmTpSfBw1CVfalcGPBfJnP/PzEf2ltJWWoiAhUVqbn92gXxyI6FrI90rSnVSxKS8nKSZZT+EX89kUWF8P2bdC6reexjAx0QYHHbXvbNnRQEDokBPOqq1ETP0cPv/HcBsELL1zwGuR5cd7gwMJU2jGVdvhRRjMOcRWriCObo0Qwnp4cJIK7WEDbSIf0nboyJDooSPwgHE7UgQMSbPj6oBs2wrznHtS+fajPPoNDBzFWrZI3DApC9+kj1Y9DhzCuuxZCw9D33oe5+FfUd9NQ774Lx47Cps0on51CJI6IlLJ0WqqUsEtKxOCtalUIDZVrKi+T4CcoSHgBubmwc5e08CQnQ3k56q230HffjZowwSMZW1KCKsiXrPupTtq/g8qBRWQR7HclpGrkQLlpUgTizGCzoY4c9py/spTsqXC3Q7mkXFVRUcWYV1yzjw+6ew9UeTl6xTI4kSwZraqJGB99KI7cebkoHzu6Zg3UvLlyf42biF/Gpk0nLYb4+so4lzvQZaWoTZtQdh90bIxUKw4fOrPcolJiiNegAcTGodLTpLJUXIR2OORzLiqiPibF2DlAFOkEs55TFE+88MILL84nEhNRhQXo7GypwubloouKPFVsEK5ecAi0bo1u0hS1ft3JRnmV+W/R0RJYtL8IlZVdcVxl5227RTJOmdlC7v5N8nZyMjo6RhT6uvfwvOXcOSit0T1FAkR9OwVKy1BFhei+l6IuH4h+9DFg+Z8ZFS/+o/AGFl6cd9QhmVbsZyM1eJfemEAN0niQWcSThQMDHVwDFRuLDggQTsWRI7JRVkoqCseOgTZRBw9KpsfXB92jB7pde9HgnvGLcB6m/wyArl8f5eMjCkLPPoN67RX0pf0wf/oZtWI56tVXRE52/XrZvDZpggoNkck8K0uy5EeOiMN3m7aoA/tdilL5snEvKxMn6mPHRLmjuFiCiPfeQw+/ETXxc89mOTUV3bw5auPGPzRu7sAi312xCIOYfPAvh2VoKvJOISEnGy65KxeVORVuuH7XPj5ipueuVLirG8HBYlS3cYNUIUwT86orMX74EbZtBacJxcXoevVRvy4RXfWkOsJ72LfX034FIldYrx6UlKIOH5FgJCRUWpkyMlC7c0++NncwYbGK+V18PCo3BwwL6ugR4bi4HM2VYch916vHR2uDWUmSSwXKsziHUEgzDhNPNpPogBdeeOHF+YI5ZChq8mT0nXei+/SFmTPgyqsqntddu0p7bOvWosq0YrlHqRDQYeEiMRsRAcHBEpzEx0OeZ5482cdCtm/ZuVKxCN+4EzrFn/niNqyHli1FqvuRRz2Pz5gB4fJ+FRV7pymJpOXL0F27ekxeKyGBTGLJYa3XOM+LM8AbWHhxXhBIMYX4olEcpAp+lNGWfVzPUkATQw65+DGNNjTkKBHBIXD4EKq4WCa5WrXRwUHSpuN2X9ZayshHRddbHTyEmjcPAgLQN90s6hyTJ6M2rEft2uXiDPiiW7QQidhpU1E/fI9u1AjzvfGQnobx3LNw4IAEKz4+knUPDpYAo7BQ2rNWr5LgJiZWzukm5rmrENnZkpkKDJS2qM8/Q191tZDgXFAbNwrf49Chcx7DIFfRITkQGqfBwTBXGxQwB+gHFS1NFdWKypWRsxDDtc2Gco+n+zilhMdSXCKtU35+aBfBz/jqKzlvYaGY2a1aiTp+XKR8S4rh0EFPuxhI+1higqv0vt1jRmiaUhU6FS6ei05IgPgEqaKgxWwvK0tI5aYprVThEeh27dCDB0P3HhASwhTbM4D8zTXjMM04TFUyyMWfTVRnMfXPecy98MKL/y7iyeI4J2f+w8mnL5v4iot/+8WX9UddPgB9++1SOR/5OLpSYEG79qixb6EB3badeFLs2iVy6uBShtrr4f6BVM3dZqec7LztYxVRkOy8VPxMC36/sZ1T69ezMj6Bi8rLPWIiTidq3170sGvl93XrpDV227aK5Jh+/c0znu9alvEVHc/4nBdeeAMLL84LurON61hKHn5sJ4FfqccURDtbo2nIcYazhMGswgTJXlutEBEhxmrZOajdu2XDGReHCgiQ/e9B1yZWuyRjjx0FFOrAflRkJISFCWm7tFTKuocPV/Sy6rh4lCEO2qp3T4isgh4zBl2lCsbop4U8t3aNtAI1bCh+DmlpsnEvLIT9+9DVqou2d0mJbJxtNqkQFBXJhB0SIoTuqd+ie/ZCzZ3jGZSjR/9QS5S7YvFcJ+h5QCoWtVyBxXrgGZD3r7Tw/O65rVaUw3Fy0KGU3O+JExAZiSotQ3frjpo/Tzb0hYUStJ04gVr6q2isO50S4FXmdURHe1rFdu0SYzvDkLGrHHi43hOl0NHRqLg4KHegnA44cRzS013BBcJrqVEDPehKMTVs0ULec9VK1EsvomNieIWvAIMCfNlPND/TnCNUwSuR6IUXXlRGFXJJlwbS06DQDGAda6jFukqZ+CyCqEPyb74WkHWjbj345hsRnyguRufny5zoer4iEVSjBihQa9egKwUWau8eMQ91IyrqpLbWkyoWFhsoRVZhJuFOO0Sc3bcndc1qPrJuoH1l36W1a2UOdvEr1LdTJJGXkwPdu8OcWTLXn4KqpKNRHON3OB0XCDFkk06I1wz1HwRvYOHFecGPtGY2TWnLXlpwkNtZQChFWJCWm3SCWUUSn9CZIEoY0xnUmjViuJaWJhtSux2CQ6RKkZoqm82gIIiJRtt9UMknPERfw5DN64kTEpCEhUNCPPqaa2H3btTsWeKKCkJMjk9AZWSg7roT5eeHHn4T+plnMZ4bAzt2CPHYxwddp47I/WVlCSH58CE5R3y8VCrcsqluN2un0xNczJ0jmanVLg6I01lR1TgXuAOLEtd/6YEw6HYAMoFQwAKyec/LPePrT4ObR1E5qLDbISpaSNgBgeiq1VCZGahfpssGPiBQWo82b0aHhaF8/aSaU9kBPDFRvmdlyZj4+kmF6UwOtEqJtG1srPxaWoo+cQKVmelRjAoMFLOm4Tei+/SRDN6GDaiZM1C33QLHT0CxBB7K148alLGFaoRSSDMOEUQxn9OJUmxYcOKUkfLiH4DS0lJ8fkt+2QsvzhMUmgeZxXi6n9E881mmMpOmDGMFe4ihFDuliMHp53RiOL/yGpf95nu4M/1q+3a01qhPPkGPGCHv//hjIhiycgV06Srz7sqV4CJH66Q6qHHvStDR8WKPEmElVOZY+Fh8gDIyS7IIL7eKoMUZL0qzJj2dNnXqot3GeEVFqFkzpQ2rdm2pzK9fJxyRNm1RX36BbtAQVq0S/yjX+F3FKmqTykQu+b3hviCoywluZSFjGEQ+fufwCk0ndrKUepjeQOS8wRtYeHHeUIKdEEqoQgFphHKAKJJIoRwrPpTRn3VcwWo0BmpdHLpTJ3TvvjLpTf8ZtX6dSJwCWAzw80f7+0kJ99hR2YTGxcnmOCdHNrVu74XCQkhJRm3Zgg4Lg1at0E2awq9LUFu2CNkZKlp01Pj3UB9OQLdrj/58IsZbb8GmTaitW+X8YeFy7oJ82ZgfPy7tUYGB8nh5ubyvwyHE7uBgl3rUKnS9etKaBVBQgA4NFXnX30HlwKLIBslB0gq1AOjmPuhcg4rKPAo3QlzZNwXKakM3qI/atMmlyKRBA4cOCpE+OFg2/5XPFx8vwVRKilRiyh3gKD9jQKGDg1FVooRoXlgg3JT8fBl7iwUiI9GX9kMPGyYGUvv2oWbPwuh3qcjoFhbKuPv6SuYvIkLG2unEjpM6JHOAaDIIxIaDx/gJf8pZQEPm0eTcxsiLvxyzZs1i8uTJLF26lKNHj2KaJgEBATRv3pyePXty4403EhcX93dfphf/AWgUr3EpT/AjTzKY4kpGmlXIYxsJPMxM3qUn9zObNEL4gO4AHCAaA00NUjlIdMXrDE6ZU5s2Re3aKYp6NhvG559WBBZERMg8uHAhuktXdMeOqBm/eAjctWvDkcOo5cvRHS9GV4mSinklVG6FsucWAjaySnOIKLPInHgmHD/OGqfJ5Xl5MrempKBGjZQ2qA6udqYVy9EB0gZlvjMO4/nnUL4+mHfdjXrqScDKxewinALKsZzWLva/oAdbWERDHH8wAdSUwwxjOc9wJQX4/u7xvpQxglkcJArTW80+r/hDIdvOnTsZPXo0Xbt2pVatWsTGxtKkSRNuuOEGJk2aROmf1Ov34t+Ln2nJKIbwBFfzNR2ZTHsOEEUJPuTjRzaBZOEvG85ZszBuuwVjxH2yIa9TFz16NObTo11OoVrkaN3qUXY7WKwet+nISNnsVqkizxcXS+Xg2DFYsQL1yceo9HR0127oa6+T4/LyXBtcLRKAK5aLmlRqKubrr6PbtZeNdnqaBBWhYZ4e1cJCeW1AoFyLm6sAcl6XPK3atQtdafOkcnLOSIg7FXYnKBPKrHAwVB6rmS38ip4gGa1zxal8C5utgrOiExKFGL9mjafNLD0NCgsgMBCVny+BG0iGq0oV4ZSkpEgQVV4uY+04RebVz0+qGbVqoXx9IfkE7NktQUVxMdSpg37tdcyduzGXrRB99ydGYVRNwGjbWhY0txttaKgEcRaLSw7Xhq5XD92nL2upSTJhgLQtLKcur3MZjzPUG1T8Tfjhhx+oU6cON910E1arlccee4zvv/+eOXPm8PHHH9OpUyfmz59PzZo1ueOOO0hPT//9k/5JvPfee1SvXh1fX1/atm3LmjVrfvP4qVOnUq9ePXx9fWncuDEzZ8486fnhw4ejlDrpq3fv3uft+r0AO+W05MD/cAaNFSdZBDGTZoxgBj3YgnJt67MJoBUH2UEcfdiMiUF10qmBhxP2OZcwnF8rfg+hiMf5+fR3umwAukoU6sABSE+vmDu1nz9q+zYRxgBpeSoo8HD2AgOl1emA6z5jXJKzlaq/RqV1w8eUduAsZwHhDrskd9yY/rOIjwDMn8fWvFyaOMohOloMR+vUQR84gO7XD0C4iVmZcj1FReiGDWVdWLYUQkKoThqXs4b6HGcjwr3zpQxc4yfjeHaz17OhG1vpwg4cZ9mKtmI/MWSf9ng79nIVq5hM+98NKqLJ4SpW8gLfMocmrpZsb2BxPnFOFYsNGzbw6KOPsmzZMjp06EDbtm25/PLL8fPzIysri23btvHEE09w77338uijjzJixAhvuduLk2BicIgoDhHFPJqgUVgxqUUq9TnGPbWt0mbk7q03Tdi5A7V2Dcppgo8d4hPQg4cIwWzVKjH8SUsDtEdZQ2shgAcECHEbLeRfl4wshYXS2mS3Cx+jZy8oKUatXCmbZJDAIfkExgMjhBh+511i4LZqpcioKiWbXLdUa45r4vP1PdlxtaRErsvpFP6Cq4pRcX+/AwXYTCi1SBsUQI1sOA4kwh+Wr62A3S4tZX5+6IgIqaY4yj2VH5tNgoLiYs9rbDa5l7IyUS452/XbbGIs6DboS06W6zQMGcuevdB33gmNGotb7eefYbz0kqcSZLHKZ+3vL++hdYUpnq5WHUJDheNitUL9BujWrfnwi1DSCcK7WPxz8Oqrr/LWW2/Rp0+fkzZDblx99dUAHD9+nHfffZevvvqKBx544C+/jilTpvDggw8yYcIE2rZty9ixY+nVqxe7d+8mKirqtONXrFjB0KFDeemll+jXrx+TJk1i4MCBbNiwgUaNGlUc17t3bz777LOK373r3fmFE4NubCOObKbTEgsmw1nM53QinAJ6sO005Tc75ZS5Wpmqk861LON1+pFIJn6U0569RFDAZC7CgYX36cGNLKYGaXxBR3qzmTtYwCgGo4BUQkkhlKYcZjPVyMVf+vqXL0dNm4p+ayxs3oy++mqM22+VDXrNWqgJ49FDh0kVfvMmMb/LyYFWrWVu27Spot0IX19USops0aOjxReopAQyMqQ6X2mO89FWdEAgWbqQBPNkAzv188/otnJOPXMmDq2xVomS8y5YAI5ylN0uCTuHA7VtK5xIhoYNUe++AwX56HfGYTz1BOYHH/HoyNbsowrtOcBy6gIwgll8RUeOE87VrOQgUazhdM8mOw5CKDyNn9KAYwxlBauozZnm7hYcZADreZYrTnq8K9vowG4OUYWWHGQj1Ste35gj7CKOcqzUIoU6JHMFaynCzgtcTtpvcWS8+MtwToHFoEGDeOSRR5g2bRqhoaFnPW7lypW8/fbbvPHGG4waNeqvukYv/kUIo4Bn+I4EsijCRiqhbCcB/dAz6GbN5aAN62XTuXiRZGyKi6VqkJGO+uxTUTSyWCQwuPhidFQMatsW1I4dnmqA1QqmE2WasskNCJBzFxVJxttFuFYpKbIZjoxE16sP+/eJ1K07w19SIhOt1Yru3FlIxr8u8fAkDMOzyS4pkfdytegA8t3NwcjLk827u1Wo8mvPApsTylyBhW855ORDPfeTp1QhnAryfCCs5LTTeGC3ywY/JgaVkiJZNaWk8mKxeMjoblK21QbaPPmxU2EYEBLqIpLnS5bONOV8kVXQ116HvuIKMbT79FOMW26WIM40JZCwWcHHV95HKfHJiIlBx8bK52cxJHvWujW6TVvxtbB4yuZFrKURx6hNMrVJZR01qUE6aQQzgxa/Ob5enB+sXLnynI6Lj4/n5ZdfPm/X8eabb3Lrrbdy443Sxz5hwgRmzJjBp59+yuOPP37a8W+//Ta9e/fmkUceAeC5555j3rx5jBs3jgkTJlQc5+PjQ8wZiK1e/Dn0YRNbqHrGFpsQCsklgNe4jDuYzzUs42s6sJs4nuBHXmQAtUjhOn7lJ1oxjOV8RBf6s55yrPxEK9IIIZFM7mEOQRTjxCCYIppziG0kso1E6nKc/URxgjBuYgk5+JNJMHcwn3z8+IJLmMRFvMI3PMMgUghjOs3pNfFzVHYWOjUVNXMGOjYWXVYOzVsIV+2rLyE0FN2sqSTE0tLRvy6B/gPAzx+1ZIkQuJ1OaTtNz0A9+QQ6NETWJ6cT5s+H668/2SAPCwQEkGWUElEe5hmwVatQqSlohwOSk9m3fh1JVauJxK3WqNQU2LED3bSpzNnz5qJ9/VBpqZjvjsO4+y4oKUaXl6Fr1sIYNoQI8gGYTROK8aEexynFxjEiuJ+ZtGE/13DPGT/bO5nHSpJIJwSF5nF+YjLteYyf8aeEBLKRaofCwCSSfOLIZigrWEYdIsmnIUf5lQYMZwnBFKGBWqQwkmEAGDi4nPXUIpVdxNGFbVzPUjSwh1gm0skbVFxAnFNgsWfPHmzn0HbRvn172rdvT/nZNiBe/CcRTBHF2CnHioliBNdzNSuJJI9AiqnPMZnM8vJkwxgejm7aDH3jjej2HSR7vn4dasECqRpkZnqM7BYskEADJMsdF4c2TalS5OW5suDiqo3dVS622SXBUe7iAzgcUFzsCTJiYmSDm57u2Uw7HKj58z1KRmXlYgbnDgwqE7jh7LKvZWWeY8+hamF3QrkrsKiZDfOAXmc4TgMjesOCmrBpgrzuJCjlcnwNAJsVdeiQLFilrnK2UhVu4UBFpeW09qbK53O3JhUWegzxbDZ0o0boe++DsDDUN9+gvpiIemes3LNheAIYjXBnAgIhLhYdGISyWkQVrFVrdOvW6BYtPUGhwwF79oiM7/Ll0lKQnc0npFCGjXx82EcMdhwso+4ZCZpe/HdQVlbG+vXrGTlyZMVjhmHQvXv3swY+K1eu5MEHHzzpsV69evHjjz+e9NjixYuJiooiLCyMrl278vzzzxNxth53L34X66jJI/zCLzTDgmYRHvWi61hGbVJ4jX6MpzvDWM5dzGM8PQDNZN7lKy6iH5sIpIQ27KMzO1lBbcIpJAd/1lGTOTThSlazmtqUYyGcQnwp51YW8jRXMYg1xJPNduLZSwyR5FOVDEIpoBgfYsjmLubhQzkf8DG3cQs3sQRym2MOugqjZ3fMmbNRw6+X9teQEFlDtEZ36IhasUKMVvOdqAUL0El10PXqwQ/foxLihdh9/ITwzr7/DhUahu7fX+bKHTsAMAxXQkWDXVtQR4+SFVpC+KFUWC9eFcbLL4JSqO+moZOSWJOdTZtGjaU68e0U2LZNEjuhEoyoyZNFCMViEV+ngnyIjsYYfDXmm2NR300jgwBqkM4DXAdobmQJL9OfFuznMjbwINcBCitOfCin0NWe1JntFGOrqGTcyGJ2EM+zTKUKuewkgVXUphvbWEUSzzOFAErRQBE+pBHMe3zGl3TgQz7kKOHEkkM8OYxmEF3YRg+20pgjzKAFb9CX21lIF7Zjwcl3tHFpBOZVtMt6cf5xToHFuQQV/8vxXvy70Zr9XMIubDhJIBOri/BmAkEU4085HLDIZjw0FG0YsH8/xpbN8MwYKC2RLHv16ujefdDdu0NwCGrLZpgzB7V1iygSlZVBRibKUe7xPfDzRxtKFKUKCk7e3FqtHlM2p1OCiNJSad8BT+XDx8fDPdBaAhCQjbqPr7RCncph+K02pbP4S5wJdicU2zweFr8Ct57huLfbwXttYfz03wgqwsKE4O5wyL3+1nU4Tz2JC76+oAzxusjPl3P7+6MHDBR53V+XiGHhXXd6AieLRb6U8nzGVaqIgWFYGLpJU3SbNhJMxLq8QlJSYMtm1GuvirTs8eMSKLoMpXSHjuhh16Dr1OHlPl8RST6JZJJIFgGUkExohaKLF38vtNZMmzaNRYsWkZaWhnlKQP3999+fl/fNyMjA6XQSHR190uPR0dHscospnIKUlJQzHp/i/p9H2qCuuOIKatSowf79+xk1ahR9+vRh5cqVWCpV0iqjtLT0JA5iXmUjSS9IJ5gnuJp7mUNVMmjMEd6jJ04sjKMnt7GAN/mK57mcSXRgPJ8whqmMYRDhFHIjS/iSi7iUzWyiOm3Yz0XsJZVg+rAJ0HRkN04MWnOAXcSxgiQuYg9O4GF+YQTX8z1vEUkBFkwCKSEbfxSKYmzcxkJWU4sAiqhKBo/xk2ygEhLFWK7cIZyE2DhRFly2VMxEq1ZFTZsmHIaoaEhLFaXA4mJo3ETUmDZuhMFDUGWlkmgxTQlCUlJkzj10EEC8L1ywaYVz325yWmnCSw1pQQUoK0dHRcHKFah161itNQ8WFUqb0z13C4E8PQM2bRRZ9j27xcS1b1/U5ElyzRd1EFn2D6RKV4NMThBGKXY6s51NVCOHAF5gKnuJYYuLd3EdS9lPNL9Sn+Yc4HYWcC13A3AJOwmghIvZRSzZHCOSBTSiCzt4gYE8y7eEUoRPRQoSHmM6n3Ex17OcXHypxwkiKWQWjUkimYGsJ5xCZtCEehxnHJ+RRCr5+DGF9rTgMK9ymbdacYHxp1Sh1q5de9ZF4s03z2yo4sV/FwtozAIaA2DBJIpcerOJlhzAl3JKAavdKhvK3FyXIZoG07W5NQxwOIWMdiIZ4xuZ/DAMUdpo3gJ98SUQE4PauwfmzUPt3wdZwq1QTodHktZuRxsGqrRUgohTs+jgUkUyPV/uIMG9OXb/XlwsXxYL+PlLpudMOJMD9jnCxwn5PrA/HLrsh6NAwCnH/FgPHuoFDy+H29ef8qRhSCVHa+GjnOphcS5wB2AOh1SKDAOio9FXXQU5uRJI/PQj6rtpcpxhyJfNJlWiiAjhdISHi857mzbo1m3E3dVloqfWrIavvhKp4OxsCVzcksO+vhK8JCW55HXzULt3wdo1qIICnqUAA5MCfLFiEkc2AZT9vqGVFxcEI0aM4IMPPqBLly5ER0efpMX//xFDhgyp+Llx48Y0adKEWrVqsXjxYrp163bG17z00kuMGTPmQl3iPxZR5DKUFXxAN0oqqTIBlGPlTS7lUjbwcNtMLg9agznxS/FyYAzq009455nRmC++BN3XUa9PL+ZHrsD8+ReYMpl7H38M/ehj1Jw4Ed3xatTs2URbLBAXS1t7NubNL2FM/Aw2bSY+3EG3RAOz690Yixag7Xamtw9D151C9SGD0V26ovbtJaywECIC0FWrQUQ4nYZdg3HrLegqjWm+cyf6oYdRP/8ENWuib70V48UXMN97H3XwIDo9DWWaqMIi+HYyeviNwhGbOhWdkQGNG8saZJqoHdvRVqvw3rQp/yMOB6SmCKcwJRkNGJUU9+ymIsdPoRWiChUdLcm1khKoWxf14w/opCQO2u3UCAxEWyyShIuPB6dDqspzZku7a24u+uohqPkLhES+aCHm6DEYT45CV6mCX2YmNdbMZ0GtWhiX9cOc/gu33n8f6gtNnfRdLAgMhLVrUe/uR3/xJeTmYtSpjfnTTOa2awdbtmA8/SSaGNTsjZBYnap33c1Ds2ZhTlzCT7fdAgd9oUTJPVSJpMrhw5hjXmbEmGfQ4TGEp6dDXiF0vJjeiYkil5tfjL73fi7bvBn2ZEByGkfMMNZTkyrkM4rBf1htyov/HX84sHjxxRd58sknqVu37mmLxP/3BcOL849O7OBidpFKKPNpQgqhpBDCJ3uegcOHYfky1Lq1qG3bICVVqhUOBxTko/LzPIReAMMiVYiMDIzFizytPAEB6Bo14fIrJIjYsweOHJFyb16eBBVu7oM7m15e7jm3u1Lhbldyv1/lLH7lYMHp9AQVlTkUbvzJoALA1wFOQ1ShOmdzCj0R1sbBNYNg0A54ef4pT1pkoaKk+M8Rvd0cEIdDWpwaNoSYONSuHSJZ+O67nuOUknv39xc53bAwdM2a0O4idOvW0KSJVILWrUMtXoTx3jgJdAoLT64M+flBfDxaKVRujlSKsrIgNQ21f79cj1Jyb/5+6IQEVmU42Ec020ngMFUoOCc9cy8uFL788ku+//57+vbte0HfNzIyEovFQmrqyW7vqampZ+VHxMTE/KHjAWrWrElkZCT79u07a2AxcuTIk1qs8vLySHT7v/yHkEYIy6jLC0zhQ7qxm9OlhmfQggff6IPxwP0YA/pjvjtO5MJvuhldowbGjcPR+/djLlqC0a8vRtfOmLPmYPr6Ydx/H/qhh1BffyUV1FkzIS0VYmIwPpyAed31KF8/4cn5+WPMminz2s6dQmru0AHdo6coJ1Wr5qoCKBEWKSxEvf4a5iuvYYx+SgKCX6YDCl21qsxnefmyLvn4iHqhr6+0zPr4SDvUnj3SppSZiXY6RQHKYhEyt2miIyNRh4+gbXZUcQmqqEhaqlxS38ahwyAWQNhMyPKVtSXc4RK82LMHfH3RtWuj8vIpPXoMe3AwNG8hFd+yMlHlUwquHoy68w4xmQ0LQ30wXrgVl16K2rQZNXOG3OPevehGjaXi8dqr6Ntug8xM1OefYb7wgrTEFhdjjBqJOXmKXGfXLph33CGk9MxMjIceRLdqhXrzDQgKQl91NWrmTMwPP0Ldfx/sPyBrvVvd8fBhzGefw3jyCXS1aqi9e6GsDD3wclRuDuoHqXLqm24Wt/J166GoEH1pP5Kn72AbiSykEV78PfjDgcXbb7/Np59+yvDhw8/D5Xjxb0AE+SSRQiaBZBJIDgEVZjQLacRy6hJNLjFkE0MeTTiCenCEuH6CTIw9eooKVI3qUj5OT0dt2ohat1ZcnbOyJNtTVCRtTm71IK0hOxuVmgabNgr51932Y7GIulBMjJCwD+yX7E7lTbcyTjeSc7dLVa7OnS1Y+APE7HOBX7mQsh1WSMmG2yo9dygU+g+Dpikw8QcwKl+SW3rwbFWUc4GPD7p6dVRyslSStm2T/lzwyOoGB0tFIrEqumNHdNu2UKMm+uhR1KKFqOk/od5+S9qm3K+zWj3BiNYSHLorShaLLGbuYCMgQAKURo3RzVtA/XrSfpaRjjpyFI4e4ZdN6RWleC/+eQgJCaFmzZoX/H3tdjstW7ZkwYIFDBw4EADTNFmwYAH33HNmomn79u1ZsGABI9zeA8C8efNo7zYWOwOOHTtGZmYmsS7TxzPBx8fHqxzlwnpqsodY7mM2R4hgEh1Pd01u2xbzh58wbrwB49670Xfdjb7ueujSFXP2XIz+l8HevZhz5qEGXY7R+RLM2XMxJ0zAuP029IgHUJO/keBi9ixRVYqNxfjyS/Sll6JtNuE5tGguAhY+PpCViRo1CnPKt6hGDSAnV6rmhiEtm1YLxMWhjh4RxcEWLVEb1qPvG4GaPRMSE9FXXol6chR68BBZq/z8oSQbHRYuqlDJJyR5UloqSZacbAleHA7Ytw/qN4CDB1G+PlBUKMdFRXk4FpVVoZyQaZNkV7hbcvXAfjRauHSmk80H9tOsZk0xxhv/vsegNTISDAN18ACkpWHedz/GJx/LY7v3YN5yC8a774iZaVYW+utJYlL76xLMhx9BJdWS1tqHHwVAPfkE5oMPylow8jEZs0s6gcOBcctNmJf2wxj5GAC6V2/Upo2Yr7+BGvOMKFK5OwjCw+HoUczRozFGjkTXr4/atFFed/sdot64fZu0017UAQ4dRC1ZItzHEQ+gNmzgI7qwH6+wwt+JPxxYGIZBhw6n5k298MIDw9XuVJ/jhFNAGIUYLo1rDeQQQBaBxJFFPNmUY0VlBqCrVYOqVaFKFbTFArt2Ynz2iWz+i4tl0+/nByEhomhRp65IkBbkow4dRG3eAgcPQG6e9KfmlniCDZCNbGmptFq5H7fb5ctml8m9qNBjdlf5dZWDhHNpbfoLggrwVCwA0rJxNZRBji9ceg0ElMFP34Bf5YKExfInpWiVbOQVqMJCIbTv3Ol52t3eFBkpxko9e0p1Ys9eWLEc9fXXqPff87RbVa5guknylcfN3eoUGoquUQMaNUJXrwHRUSIxnJwslaa0VOlLnjMLvW6t/I0kJqLr1oHu3dn15pd/4l69uFB45plnGDNmDJ9++il+fhe2mvTggw9yww030KpVK9q0acPYsWMpLCysUIm6/vrriY+P56WXXgLg/vvvp1OnTrzxxhtceumlTJ48mXXr1vHhhx8CUFBQwJgxYxg0aBAxMTHs37+fRx99lNq1a9Or15lkFbw4EzTwAgPpwVZeZDJv05sThONWBwIgOhrzp+moxx5FTRgPGzagX30N6tXDXL4Co1cPVL++mD9Nhztux+jcCXPmLMzPv8AYfj36nntRU79F9+iBmjNHWo3i4lHz56MbNEB37oRauhTdqTMEB6Hy8sBRjnHXHZhLlmK0aoFu2RJ17Dhk56C0hrJySE3DfONNjBuuk+rD99Nk3qxaHQICUPv2YXa8GBUXBydOABqVmwvff4e+6mrIy5eq/OZNkiypUxc1by5qw3qoVw+mT5dxKC+HkhJ0Uh2MdeukFapSYGF3aLJsIq4RgT8Aat9+qXIUFYK/P2vS0mhtWKBNW4wHHkCHiDmrvmG4VFscTigrk26TggJ0gwao48dFgry8XFq6WreG2rVRd9+F+dRomPwN6uhRzM1b5UIWL5L1uU9fWLoU47PP0Ndci0pPh8cfQ198McYTIyV51KEjqqQY8/GR4iu1epUEFCWuoOLECcxRT2CMGoVu0UICCZsN/eBDqGlTpcLToIEY1h48gNq+XfYD110Pycnoq6/m6kXv8RIDL8SfsRdnwR8OLB544AHee+89xo4dex4ux4t/A9IJ4WdanfZ4Ihk4XfQzP8oIp5BwCoiggIa1aokb9s4dwosoKXH57WjJJgUHC2nXz9+VdSmEJYtROTlybEGBbOb9/KFaNQlSqlRBFxWhjh6Vc2dmeojLleHmDbg3wlabqBW5N+h/YWvTH4Vfucd2qFqOOFqWWeDKqyElEFZ8DFWKTnnR2YjXZ4JSaKsVVV4OaCgs8Cxdbu+J2knQo4dk+fbvR23cgJo/D36ZjnJ7VLjbxipXetznsNkkeKhaDWrUEKnbgAAoKEAdPybBHkgVyscXikvEYd3PH1WnDrpaNfQTT571FsoqSNoaP8oIoZgMgry9tf8QXH311XzzzTdERUVRvXr108Q9NmzYcN7ee/DgwaSnp/P000+TkpJCs2bNmD17dgVB+8iRIyf5bFx00UVMmjSJJ598klGjRpGUlMSPP/5Y4WFhsVjYsmULEydOJCcnh7i4OHr27Mlzzz3nrUicA/qzlk3UoBmHacJh3qUXW6jKCGbzK/UwMAmlqEKkAZsN/eZbMOlr1NtvowZchvnFV1ClCubylaiBAzA6XoQ5Zx688jJGj+6Y3/+A+c0UjCGD0Xfegfrue3S37qi5c8FiRSfEow4fQvv5oxs3Ri1fJk7XF1+MWrYUnV+A+vknzEcewXjtNXStWqgyu6wP2VnogATUV19KUJCdhdqwAX3HnaiFC0SVsGNH1Msvort2Q33ysUhxFxSA6US3a4c6dhTWrJb5LikJ7XBIe+7GDehh16LsNlHr0xqttbRkuYj/lQMLq0OTZZMEUpivS/HowH4xm928GR0czFqtGWqzQkgIHD6E8pcARN99D8Z998CJ41A7CfXNJFnr7Hb05VcIPyMkRIKQ19+ArVsleGjeHKNLJ3TvvhIE5eVhvPAC5vc/QGEhxlWDMO+/XzoGyuQe1PPPy8/1G6CrVkUPHIiaPx81b64rqCgRhaqUZMyHHsF4+il0q9ao5cvA3x9zxAMYn38GKSno3r0lMbhvLyo1FV2/PtROgvgEqYqfOMEr9L+gf9NenI4/HFg8/PDDXHrppdSqVYsGDRqctkicL4UPL/5/ohPbGcQaCvAlnAJ8cOBEoVGUY8GBFQcG6ogfOjYOmjaD8AiICEf7+ckmtdyBKimWPtQjR+DQIeFbuM3oLNLTSrlD+AQF+VKuBpSbSwGuACVEiMRhoWinmNup7Gzp9a/YkDuhcsLf3QoFJ1dALgACygEFIfnQ2xVk3NEPllaDuV9A3cz/8Q20dgUVuDwkbNIDGx2DMhScSEbt2C4KTSCkeneo465KuNubgoPlM4yLlXFWClVY4Kn4BASIu3lZqcjYljvEjda1AFFaijp2FF1WhoqJkUyU6eLBvP6aKEOlpEB6GiorSyQTS0v5Hmmhy8GfA0SRiz9fcDG5p9Hcvfg7cMMNN7B+/Xquvfbav4W8fc8995y19Wnx4sWnPXbVVVdx1VVXnfF4Pz8/5syZ81de3n8KBfjyLp+zkAZ8Rys+4QM+5xKe4GoGs5IkUthGAsagyzHfGy9EYxAFuIaNMO64DePSvpgTPoDmzdGzZsOdd0hw8fMvEBOL4Qo+zB9+xLh8IPqWW1A//YTu0gW1cAHKYqATE2UD7usHkZGoVavQebnSXrNqJWr+PPToZ2DyZNSxY8KV0FrUCEtL0YUF6Ntux7jtFjnP1G+lkpuYCNVqoD7+EHPad8IF0C4hksBA1Lx5ksm3WGT+cjhQmZkyV27ajH7mWdngmyY4XV5A8QkVybCKdlcF9pJyMn2c+JWDb9WaUus5fEjm2ZkzwW4j08eHiNpJ6EOH5Dry8yvmYY4dg6wsaYN64XkZh337JGAqLZU5NiQEEhIx7rkLc+w7qKuvlM/ju+/kMh55GPPppyEoCKNdG8z+AzGWL5eqwxuvw4aN8p4JCejOnaBhI9SBg6hvp0iwUVwMoaGQlop59z0Yzz+Lbt5CgoqQEPTwGzHGvy/k8quuhuPHYaOoWenLr0BlZWIOuhLjs08xR46UVrnnniGMAqw4ac0BThDGJqpfwL9yL/5wYHHfffexaNEiunTpQkREhJew7cVvwoJmOXUJc2mGB1GCH+VYcWLBdIUYwKJU+e5WFVJK+uzdvfZueVgfX/D3c8mnhousXpUqItFnMcTDwu1Ump6OysyQbFFBoYvEXA4Z6ZCSLKVt95fF4vK5sIlhm1KywS0uAeefUFL6i+Dv2vPbsqEH8MIl8Hlz+PI76HT4fzy5OyBwe264fT2ysmSxO/VYiwWCAsRnIjwc5Xbodjol1AgIkJYyrSE/T4I6uyuLa7PLZ1lcDIUF8j5FJfJzfp4QC11O3xUzis2GCg6B8DB0ZBVRomrcWPgc1atDrVoQE8MVPs/+xk1Waq3w4m/BjBkzmDNnDh07dvy7L8WLvxkLacwK6vI2E7mEnZgo7mUuV7OKkQxhLTW5k/mYl42U3vw77oQBA+XFTZtizpiFMfx6jNtuQT/0MHrIUPQHH8Lrr2H07oX52WfwzBiMa4dhvjsOc8ZMjH590dffgJoxA33JJajFiwHlaqesK0mr7GzUvn0itRqfAHv3CBl5xiyMZk3QcfGovFyZr44eQxUVoca9ix4yFLX0VzGc69dPvCoOHxHy9PRfoG49WLlCklo5Oajp09F9+8Lu3agTJ8SfSSmptGdnSQBjt4s4BZL00UFBFa21J8nNFpWQZTeJKAaq15AH8/PR9RugVq0iMyKC0KBgMcZ79WWp9GdnC+/kxx9kXVQKNWe2EKPr1IWgINQP34sSVW4uevAQ2LQR3biJtMbOnIn5xZeyZvwyXToJLr4EnhkNJaUYhw9hvvQSxuOPo8vLpDoTFoYeMgx87OKV8cEEaVUuKpKgIiMD88abMF57FV2vvrRHRUVJxeejD+XaBgyEo0dF1lcp9C23igngZf0xvp0s1xQVBUBHdnE1qyjFyjpqsYWqF+aP24sK/OHAYuLEiXz33Xdceuml5+N6fhfvvfcer732GikpKTRt2pR3332XNm3anPX4qVOn8tRTT3Ho0CGSkpJ45ZVXTlIn0VozevRoPvroI3JycujQoQPjx48nKSmp4pisrCzuvfdepk+fjmEYDBo0iLfffpvAwMDzeq//BniUGTSPMp1i7PhTRjUyKMdKORZKsVK1XiLax9ej0qTNimoFpSXSg1lSLBnw7KyKrI5yS8O6Nv7KHZiAS/bU4uFRBAUJITkkVH62GLLBLSxEZWVDcVGF8R5Ol2s3+iSX54osfWW1qPOIAFcXljUXFjSGp7vCmIVwzda/4ORan+6orZSMUUCAlM0DAqQdwdcX5TLNUxVmgGXo0lL53emEjAwp6RcXe4wA3YkHmw0VFHxykBAXJ0FCjRpQqyZUiZKxLyiQr/x8WcgLCoTYX1CAyi+Ao0ekZc51zLOswY4DA42BxoITC05sODlOONtJoBQbM70u3H8LEhMTCQ4O/rsvw4t/CEqw8xOt6M9a4snBRBFLLl8ynnk04BUuY/K2bejaSRIEzJ8v3Ao/PwgPx/zhJ9Top1FvvA7r1qFffgX98CPopCSM4Tegnx4tJO477kA//Qzm3PkYPbtLEDB3Lvqii1DLlqHRKEc5+uJLpKVz+3bw9UNZRDSC3FyMhx/E/HwixnXXomvWRBUXo00nqqQEHR0tfK/UVPDzQ333HcTFo2NjoGZt1MTPMV95FWPdWo8XksWCbtNGWkCPHRMuQ8uW6MQEqcgeOCCZ+qxslNXq8l7y8PUqU9ztRaVk2R2EFyuoGSdrUmGhBBlFRawHWlevgW5/EcYToyqUDvXjI4XzkJIiSlUb1sv8vHMHeug1sGypJJbCwtBPPIlx7TWY3/+AkVRL1K8GDxElxnfewfx5OqxZgzH+fXSv3uihQ6WVKTER9cVEkc+97XbIzER37oLx1JOuSkWRVLWzstBXXonx3jh0QoLI4daoga5WXeTLfXwkcNm+Xfw2AgLQffqKdHlxMeTnY079DvXhh3D4EGRl0YdNlGPhPXqSTFiFcIwXFw5/OLAIDw+nVq1a5+NafhdTpkzhwQcfZMKECbRt25axY8fSq1cvdu/eTZQrWq2MFStWMHToUF566SX69evHpEmTGDhwIBs2bKjomX311Vd55513mDhxIjVq1OCpp56iV69e7NixA19fUVq45pprSE5OZt68eZSXl3PjjTdy2223MWnSpAt6//+f8TAzqE0Kka62FdAoNL448aNU2pvgZK6D67vWWqoLlb0l3Jt6m82zga1MtrZYKnr/tWmiil0GeU4HynnQQ66uaG1Skth2v7e7UlL5XCgpaTscHmnbc3TQ/rMIcgUWwRpuGgDDN8KTv579+Exgh+srBhhwtgMNQyZtH1+p0LiDJw24ddRLSytaxFTlcbDZICgYQoIhJBQdGooODYHQMDFfCgmRsSssFC+R3BzxpsjKQmVnixrXzh3iXl5eJsGjo9zjHwInj23lyhKcFtB1wD3+8tmVY8GJgYkilGKCKCGbQG9g8TfhjTfe4NFHH2XChAlUr179774cL/4BmElzVpHEncwliWRiyUGj6MkOurITcq9FD7wCY9y7mAMHYgwcgPn6G+L9YLGgn38B3aoVxnPPovr3w/xqEgwYiFm1GsblA+DKqzCnfIsxdAjcehvmkl8xOndCD7pS1KBat0GtWYPOzoajx9CDBskc5+ImEB8vQUR6urhod+4iErVBQZJwMk1paZo5E/PhRzDeew+OHUU3aohatx6SU2R+LMiHmFhIFkdt7HbU0qXS/qmUbLgTEiW5s2uXqEw1bISaMaPCN0hlZlbMeYauVLEoLCHT7iC8BAlyjh938RB9UEqxuriY7laLVHZd7VZYrRAbi05Ll2RNgwawdCm6aROU1qhp36L9/FD5+ehbbxPPjWHD4OOPJAjYsk3aZx+4X/xEtMYYcBl62DVQpQrq558xGzTAePttsFolqNi/D33NtRgPPiBrSna2dBnk5kj15Isv0GFhqIMHoUlTGdtfl4jRYHwcbN4kylS1a6MSEtGdO2NMm4b51FNQtx7GsCHouDjUho1oPz92E8chIhjEGmLJ4QkGe81SLzCU1n8s7frZZ58xe/ZsPvvsM/xdRKALhbZt29K6dWvGjRsHiHRgYmIi9957L48//vhpxw8ePJjCwkJ++eWXisfatWtHs2bNmDBhAlpr4uLieOihh3j44YcByM3NJTo6ms8//5whQ4awc+dOGjRowNq1a2nVSgjJs2fPpm/fvhw7doy4uNN1uE9FXl4eISEhdOBRrPy3CX7v8BlR5KFRWHHiTykmBoGhfmAYaHeQ4N7IGycHGeAOIFx/tqZG6UrBhptA7N6YVv7zdgclcHIQUvl592PnOWA4VzzaHV7vCPYy6HgMZn4tztrpeAKI7cBhZETCgQaurxZAAniM/VByVGW+SKUx1kpJAAcSdFQe01O/V7ye0392o/LYVg4WK5voWSyiAOZudbPbPd/tdlfw4yPBjNUqLVUWC7p/f7isP/j50TP8tdPlKr3AQSnLeZXc3Ny/tWIQFhZGUVERDocDf3//03h5WVlZf9OV/X3wrgketGUvw1lMPNn4UIYVLf/NUVGYn36O+nIi1KgpGfUu3dB33eWZT3btwrjxBnCamJ98KoHHsWMYPbqh69VHP/c8xoD+6H79hLB8SUd0//6oJUskQ75RpEypURPziitQC+ajNm0SJaSatUTqVBniqXDVoIrWTwACgyAmGp2UJC1Qbgn0atXQDRpAteqoGb+gr7wK9eor0u6kTeGideqMmv6zqD7ddrtwGubOkdajunXl+ORkESC59jrUC89jljm45a4YPo9PB+DHrY15P3wfQfklTLnzVygvQz35BHTvgXrnbQY5HHzVowc+DzyE0buntBQ1aw7Db0S98pIk2gIDpeISHY2+4grUF1/I4z4+mNt3Ytx6M+Z3P2BEhGHecgu8/S5qymTYtw/91NMYF3eUcTSd6Es6wa6dqI8/lvbYYdegMtKFw3HvPVLJzsiQbgENul1b1MKFMr/n5aG7dkXt2w9Hj6CbNZc2qpwcKC8XV/Dychm3Nasxx38A69dhvPmmVFFOHEeVlmE+8QTLe99HNTJYRH02UoPNXn5FBS7UmvCHKxbvvPMO+/fvJzo6+oIqfJSVlbF+/XpGjhxZ8ZhhGHTv3p2VK1ee8TUrV648yZQIoFevXvz4448AHDx4kJSUFLp3717xfEhICG3btmXlypUMGTKElStXEhoaWhFUAHTv3h3DMFi9ejWXX375ae9bWlpKqUvFAWQR8UIwkqHYcWDFZABriSEXOw46tqspbsulZa72HPd3Vzbb4fQ4aDudUjkwTSETa9NTRTjTxtetLnWBidd/BY66/vdtJVD9WxjklNuJxBNA9AKqw9m31ueoElXBcXG3Nvn4VOKeWGVz73bT9vGVfuCAAHRAgIcQ6OfnOa7y8Tabi7/i4rBUelyf6XjrWc7h/goMlPcCb1DxD4dXQdCL38JqkthCNYazmLbsJZZs7GhIS8Po308cq6tVg02b5LGhgzHHvS9eDPXqiZfFjcMxrrsG88mnpFqxZh1G756oW27GnDkLY0B/SE/DXLka46J24qWwYjm6YUPx59m/D+P779A9eqIdTtT69WiniW7UCDZuxHhyFOb3P2L07omuWlW8kxzl6OJiVHIK5n0jMF54TkjGsXGoefOgdWshGTdpigoJlXWsRCRkadYcvWc3auNG1No1ci82G2rdOswBA6UNyiVoQUqKDJTTeRLHwl5cSrbNQdUSA6KjUUsWy+Z71Up0QAAlJSX4tnPxK/z95VqefBJj7FtC2r6sP8bPP0FcPFgtqB9/Qtt9UM5c9COPot4eK7KwPbrL/Pvq6xj9+oKpMaf/Ai+/JN4fvr6YI0agPv9cPEMcDgkSjh/HHDkK447b5J4zMmTe1qDr10MtWiRrdV6eBDVLfoWsTHT7i6QlysUB0YMGQXgE2uWFZH7xFWrUSAnkysvE4K95C3T9+hgj7ieMQt6nBwNZTwF+bKYaXp7dhcUfDizcRkMXGhkZGTidzgqZQDeio6PZtWvXGV+TkpJyxuNTXP+o7u+/d8ypbVZWq5Xw8PCKY07FSy+9xJgxY87xzv5bKMSXQtfPH+NxqV0w/Znffe1vhgSbNqG2b4Pdu2D/fldLj0uNw+luoar0c1mZqHIcPybHuZU43MGHK0hRp2br/4iU61+AEtd/aP918GQJVOU3Aoi/ApWDr+Lik6sObpzSqqbUqVWlMxx3avWi0nPqTMe6f4+KhuiokysbFjeZX34fSjbfnOZJ7sU/BTfccMPffQle/MNRjJ3x9GQBjbmHWTQOL5b52elEffoJ/DIdc8IHGB9MQLdrjzF0iKgAde0mFYCp0+DllzCeexa9bh36hRcxlyxFDR0iKlHTvse47hq483YJLjq0l+z32jXoOnVQu3fD/v0oNQ/dvAU6L1eM20qK0VHRcPQoxquvYN5zL8a4d4W0XFzsEgAB4/tp6Fq1ACWKRn5+aIcTunVDvfm6uE7Pny9zllJC2g4JkZs/fFhIzH7+kJkhMq6GqzW13CF8DICFC0/2sShzkml3El5qgeho4Wf4+6N27OQgUC04WMbq5ZclSWcY0LiJtEWVuYjV5eXi79GlM+rbb8W/KCBAFJdeeE64I2vXYC5agnp2DOTmYX70MWzbhvHmG9CuHeZtd2C8PRa2bJEAolEjlMMpylB33i7ckqwsST4ZBjo+XipFZWXiNj7oSglISkpEEWrDejlPYCC0aQPNW6Dmz8cc/YyoTw0cgK5RXa5fg77nPtRHH6Cm/4y+6WY2PP4LfdnEWHqTSuhZ/+asrobZMm+b1F+OPxxYjB49+nxcx78KI0eOPKlSkpeXR2Ji4t94Rf9cNOQoTTmMeu5ZmWhKS+V7pZ9Vuetn07XhdVctKr4cnoDB6Ti9Z990BxhOz2OFhSf7U5xq3laZa1GZb2Gaoi3u7rM9z8HGC4vgpwZw10H+94Kuu+pgtYGPXdRGwsJkQfPz9biFO13j6PLwUC7ivHwuLrK3o/zM3IdTf64cKFT+co+rm1NT+XfDQBzQlbzXiROiJuK+dqtFnnedqw55XM+v/Egr8riw7ZlenBmFhYUEBJy73O8fPd6Lfx8CKeYGlvA2ffno8TriAbF/v8xDaWkYVw5C334HALpKJOrLL4XY/cwY8V8Y9YTwLh59BLV1C+bX36C/nQpPjMLo2xtzylSMxx5BDRuCuXwlRseLhMi9YYN4VezfD3v3oixWCRJyc+HwEVS1qqJEmHwC1aYNxMYKT8Bmkw1wbo7wMnr2Qr3ztmTsa9SUDbKvDxw5inn3PcIbsFhELGTJYmjXXua63Fy0YQjNr9glq+5SJqS0RNYqpWDr1pMDi3KTLF+TiDK7bML37EFHRqI2bmStadKmeg1o1kxMX01TKinffw8nkiEhAbVlixj6FRbCwoXiU2Sa6OdeQL34PPqZZzHatka3aCFrx9Kl6Cuvgtq1MWpUQ/fuA+3bY7z7NjolVbggcXEQGSl+FPfcJVWHrCxxArfa0KEhMs4uqXjd7zJpCQOoXh21ZbOMX506qJhYdLv2qPXrML+eJAasC+aB6UQdOIBu0hTq18d47BGIT8B8ejTGJ59wkCoUYyOW7DMGFgpNZ3ZwGRt4n+7sI/b8/mH/B3FOgYXW+m+XlY2MjMRisZCamnrS46mpqcTEnNm+PSYm5jePd39PTU0lNjb2pGOaNWtWcUxaWtpJ53A4HGRlZZ31fX18fLxmSb+Di9lJI44RRgEx5MCMPFRpmbQ1nUrSrhwQuDeubiJxRRbbUhEA6AB/2SwHBkJQoPTCBgWJJre/v7TeKCUZ+bRU1Ilk0fROPiGSgEVFHqfoMzhY//H/hEpcEfhD3I0Ql1VHru8fftPTUXE/xZAPKiMDDh6U507d4LvMqbDbJdMUElIh66tjYyVD5pKd1RER8nNYeMVj2F2ys+6FMjdHFupcl7RsXp4QG91qT4WFktlyOX5TXCwykCWlsriWlsrry8tP/jswTVpQTAsOMpC1uD8dE4UDC8cJ4wkGU4L9LxhAL84VtWvX5v777+eGG244aW6tDK018+fP58033+SSSy45qc3Vi/8eCvDjLfryOD/BUT8xuRv5mHghZGZIImf8+xAQiDl+gngXVK2KMbA/5jvjoHZt6NkLs3YSxjXDMLp3w/ziS/SLL6Hr1BFvjHHvoT79FKP/ZZiLf8Xo1gXdvDlq61ZITBSfpF07UXa7kJ43bxEOQs2akJaO+mU65ltjMYYNFaGKsjIhWOdkw5zZ6G49YOkSqXYEBEj7Ttu2ohgVGysEa1fFXDdsCOvWolJSxAw0L0/WuY0bZO2y2UQZr6RE5uMd2zFsnnXEKDfJ8YVwp8xtKi0N3aoVlJezurycm0OC4ccfK4xe9X33YXw3DQry0Z07o37+CWrWFJPAuXNlDg4ORjdsIH4YH38k8ruz52JcdikEBYr5XY/uEmz4+MCqVWibHbVzh1RxnE7MfpdhPPygzNfu9icfO9puR6WlyRxvsaDbtkXNmul63kfWItNEd+0qrU9aQ3Aw5ptjMe64HR0cJEGKYRHPi88+gXlz0XfeBVu3opYvx3zoYW5YdD0KWEL90/7GmnGIYSxnPTV5nKGU/fHcuhfngHMa1YYNG/L0009zxRVXYLeffYHeu3cvb775JtWqVTsjmfp/gd1up2XLlixYsKCiHcs0TRYsWHBW86P27duzYMECRowYUfHYvHnzaN++PQA1atQgJiaGBQsWVAQSeXl5rF69mjvvvLPiHDk5Oaxfv56WLVsCsHDhQkzTpG3btn/pPf6XsJN4DhBFKTZ6sYVGl3eXrE9gINotcxoQIJkOd/+++zEfnwq/BTIzISsTTpyQTMjBgxIkpKbIZFdU5MqwezgYys25OInEzOntOm7Z2srZd61Prma4PTZAzq+Ui2BsyO/uCsyfJIKHuKg6uec7Tq2sxgSubFmpuHIXFsri6hqHCoK3ywNDWa2iJOLvL5+TzeYxLXSpTunAQJfxYYR8Dw9Dx9Vx/ewKTkJDPWPO77S+VcIA2zOnPKKx48CfUnxxeBVB/gYsXryYUaNG8cwzz9C0aVNatWpFXFwcvr6+ZGdns2PHDlauXInVamXkyJHcfvvtf/cle/EPQAbB/EhrWv66BLV4EfrxUXDNtagXXoD9+2QeLyzAuP5a9HXXoVyqSsb994qnxbXXQc2amAsWom6+UZygX3gRht+IWbMWxtAh6AceRG/fJlWMOXMx+vQW74ddOyXjfuIEbN0CbdpCUm3xqPAPEFL1rl0YLzyP+fIrGI88LAmr0lLZQCsFvj5iOGqa6KgoqQpccgls2IC+737U6Kc9vkGbN1XIpasd2yvkaNXaNeikOqg9e2TOLSqSefbQQYwkzxpVgsiEh5s+clxhQYVQx26gbus2qPfGedanrt1gwngAaddSSpT6tm1HWyworSVoeu1VzPEfYNRNwnzxRdTLL0FZGeb7E+Dtsagjh6FWLZEJ37pVfDB8fEQmt09fjE8/kXU5I0Me9/PzdAnk5UnSqUZN1MqVkFhV1u+0NGmT6twFmrVAbViH+ezzkJaKcf11aB87KjsL3aAh1KuHMWY0unYS3H2PKFGNeAD1yUcYt9yEE8UjXEM2QdTlBDVIYw+xDGcJxwnnWa6gAL8L/af9n8I5BRbvvvsujz32GHfddRc9evQ44yKxbNkytm/fzj333FOxKf+r8eCDD3LDDTfQqlUr2rRpw9ixYyksLOTGG28E4Prrryc+Pp6XXnoJgPvvv59OnTrxxhtvcOmllzJ58mTWrVvHhx9+CEhv+IgRI3j++edJSkqqkJuNi4urCF7q169P7969ufXWW5kwYQLl5eXcc889DBky5JwUobw4MzIQVrINB7Noyk39LpMJJjMTlZwMhw7JV3IyKiNdMtslJZ5KQuX2I/dG151pr5x1d7tJ22wecrdSHt80dwuUS2a1YmPrDix8fGRTbLOJPGppCTicIk5l90H5uJSLlCETZ0a6GL79RSTxgDKwmH9RxeJMqCzVe6rKk9MpC9+ZjnerNtntEgiCfD7Z2bLQVualGBZUdLQrELHIIh0UiAoMdPUSaygvl+yf3X7SZ6CDQyQYcVdC3EGIKyAhIoLTTfAUZdi8vbN/I+rWrct3333HkSNHmDp1KkuXLmXFihUUFxcTGRlJ8+bN+eijj+jTpw+Wyj4xXvxnEUUuhdhZRj3MJZ+gnn8O9eLzEBOD+dnnqHHvohbMh7R0kcT+8ksIDMR8+RXUoYOwejVq4UL02+9I5n3SZBj7FsbIkei1a9HPPS+ysz27o3v2Ql8xSEz1fvgJ46orRc50716pzKanw7q16Es6ocrLZZNvt0PNGrB7N8a0aZKhLyiQjXNJCeTlo/bvxxwyBGPqVEl0BQSg09KhdhIcPeoJREpKUKtXS6IMRAEqLAwAtWq1tBzNmgmALi+XNSY1FaOOZ54rUlJNj1ABkmTLyID9+3GUlWFYLKiLLkJ9+IGsmUFB0nKUmopu0AC1Ywc6Ng5q1ECtXydV+rAwaYXq1x/Vt48kei7uBPfeg771NigqwnjxBWjSBPOqwaiff5KKg2FA9eroOvVQq1ZKEiozU8YrLEyqHoDKzZXugcAA2LNbfEqOHJbxCAoSRa+mTVGHD8rn/eKLEnAUFqCKLZg334zx1ZewYrlwXRbMRxcWorv3EC6Hjw+0aMnTM6tjw+RxfnKZ8Jo05ijj6EUaIRfyT/o/i3MKLLp168a6detYtmwZU6ZM4euvv+bw4cMnLRLXX38911xzDWGuf47zgcGDB5Oens7TTz9NSkoKzZo1Y/bs2RXk6yNHjmBUynhedNFFTJo0iSeffJJRo0aRlJTEjz/+WOFhAfDoo49SWFjIbbfdRk5ODh07dmT27NkVHhYAX3/9Nffccw/dunWrMMh75513ztt9/lsQTQ6d2UkwRQRRQjDF2JDJ0IaDWLKpQj4GYLR+n4oNosJTDXB/+fqiQ0Iko+M2dnM6PaRr1+ZYK+UxbHM/55YyDQsTA6Pq1cRltHET1Px5MrlnZsKePWLCl5UF+QWiOOF6b+UfIO1MQcFofz9ZUPbukwXB3S51HozzFBBceh4rFqcGFJV5D5UVotz36D7ebSQIHlNCt9eFu4pTUYEKgIQEUT7x85NWp9xcVHqaZOPcfJpKZnr4+ILdhiooRJe5/DRSUiRz5w5aysogL48X2MAiGjKfxudpkLz4s6hatSoPPfQQDz300N99KV78w3ExO7iWFWygOuiH0S+9jL7pZoz778O4+UZQBvrSfrIh37NH5ueCAox77kbfcINsrKtUwbjicsznX4B27aQ60bIlxl13oTZtxPxmCub6jRidL0HHxKLvG4Fx2aWYkyaLm3e1aqhDh2StyM5GLV+G7tlTEiy7dwFakhrpadDxYpgzW+Y705TWzqxMjC1bZVOtlDhY79opAcqPP6K7dBXXa4tF2qHaXySJtKIidMNGwuNIT0PXq4tyzamqpATt5wc5uSjDkywpUlKxCAuJFS5Kbi5q6xa2GQYNAwKgTt2KJI++8ip538JCqag4nWI2myHStWiN+f54jA8/xLzvPox9ezE3bsa49RaIjcG8YThGzerotu3Q/fphfP0luNQ4dcOGKF8/VMoJ6RbIypL7j4gQ/ojVisrLkwpOSYkEHtWqofbvk8pOUh1UrZpoHx9ISMQcPESqFP4BqJxsqUzUqYvx6ivo5i2g48UYixfJNY1+WrySYmIwn3sOLupA34h+1CSNEqxUJZMXGcgBThbo8eL84g/7WHjxx/Ff1SwPoYhqpJOPH7n4UYAfZVgIpIQ4smnGQVpxEAW0vCgWlZ8vG0gXaRitK6oB2uKqQJhayNwlJXKcuzIREgIxsZ6goWEjaNFCStsg5zp+HLZsQS1fJqoUhw5KD6tSwr0IC4fQEFCGLCR+fuiYGFnAdu0W589CIcJhGFI+dldPDOO8kbhr3g9DtsGLC87L6QWVDQZPfdwdKFTmYVisQuAuLT2d+O5+XeWvylwY9/l8fSVTFRCATqwqkpLh4eLyDXLuEyfgyGFUTk5FW5nWWlzAXe+5Y3MG5VgowcZXdGQbVc/jQP3/wT/Fx8KL0/FfXRN+Cy8wmSYcIpUwakU40bfdgR49WtSaXnkFtX6t8LXCwtHNm8H8+cJPcM89QUHoRx9D/fqrbMRbt0Y/8qjMNceOYQy+CoqKMSdPkUz9pX1R6emY99+H8cQTmBM+xBj1ODokFHXsmMzn+Xng6yc+CmtWyxpSu7ZH0Sg8XFp6AgPl+IAA4aB16IiaNAnycuWxmrVQTocERm+PletVCtq2hfXrobAQ3a4d6qgoHZnTvsMYMlikVMPD0SEhqPR0RlwTwTvRwov7eEEQt3TL5+iJYcS16IQa+TiUlfFhURFRNWvR/6KLMCZ9LbyH2XMxbrhONvVu3ly5S4CjsBCiotC33Ipu0wZj8NXobt2hXj3U/HmYv8xE3XyjJIFatZa1c/06eV2DhrI+RkeLc7mb1B4VJYGexSJBU40aEkCVl0ulOSNDAp7WraFJU9S+fZjPvyAE9wULJLlnKPTQa1BTvhE1quHDMebORQ8dCnPmSDtXSCj6hhvQ996H+mIi6rtpzFmcSQsOkUwo79Cb/ZyZC/tfxD/Wx8ILL84VufiznUR6s5lw8mnPXqLJxYlBOVbKsJCPpzKkfX1lQ++SGXT3+RMUhIqNRVerjk5KksxOyxYQn3C6xGlJCezdCxs3oJ4dI6S8jHSZBO126QNNrCqTf0KCtFk5HFINqVNXgoU9e2DVSkhJkfYcEL8FXz9RJnJl15VpejL551EZKuR8VizcG3931cddsXBL8Lq/VyaxV1aXCgioCLTw80Pb7VLmLyqSz8JNuq9c1alQhrJIy4HVKmPuCjyUxSLP2W3C2fD1RYeHQ5MmkFQXHVUF7ecvxxYWsvCaz4iggHDyacYhb2DhhRf/DzGWvjzHFKqTDoU2mPotxmefYL74MnTtAocOouvXR23ahFq0SMzeUlNgxw6Za/LzUU89iR4+HHX8BPrwYRdh+31ISMBcuBh1+20iP/va6+i58+DOOzCefQ7z1dcx7rwd84UXMd4ei46ORqUky/xTUCDmdV27ybx29CjUrCUVjawsiI6BtNSKliiVnS3rR2IC7MxHOxyofXvRF1+C+nYKVK0qbb5ai0Srv79UEg4dkoDFYpEAxsd+0hrI8eMYhmfLVmATXlx4rcawbq2cJy+PNcCYBvUxfpkuB9rtqLlzpCrv5ic6neDrJ7wMwHxnnFQh9u+XgGnkSIy77kQ/PhJ+/B61Y4e0Kh0+jN63F1VYiK5eHZWVKRWL9esl6LNaJchITZVrLyqSz2zPHnnOx1fmfMOAVq2gaVPIy8N8+22Mxx9HoyEnGxISxHjw3bfRHTpCZibGe+PQVwxCjXlGWnA7dUa/9jps3iQmiAnxsG8fHUhnC4l8xcUUeoP2vwXewMKL8wonilz82E8Us2lKNoE48PRUx5DFSH6WHs2kJHSDRtCypUy+Z1Mi02KexK9LUGvXwtq1MnHl58kk7O+PrlIF6jfA7NFDSsqpqaijR+Sc1WtAo8booEDREJ83TybGH3+UYEEp6dGNiRW1D7daR2XJ2gvoZxFSAnnni2NRqRVKR0ZKBSY3Vx5zK0PZbJJpcnMn3C1mbhNIw5BjQAJDw+IJPHx9JCiw22WBzs2VNrLychlPh3my7G9ltS9lCAnebhdy/s6dgEIFBZ5EuL+EIibQgxRCyMYrWeqFF/8fkU4wo7mKZ5lKnfJ04SgEBmA8/ST4+Ymi08KFUmUuKBATNasVPfBykW9NTgZAff65tGHWr482DIzh12Peex8MGIj+fCJ8MAHjwQfQa9ag3x8vPIxHH8Z88WWMJ58QkvW0b2U+TE+XgCE3FzVntsjTrlgBx46KJOrhwxATA9lZrjVBQV6+JKKaNkMdOiTiF/7+Un3QGn1Zf9TYsdJaW1YmnIf0dNn4h4eLd8WqFRJMGIbMj4GB4HBgGJ61M9+q8S8Dn/q14bsf0FWiUMePk2wYxHXtDr/8Iu/XrBlq5kyZt92V6XKXbHhxMcTHo2b8IryF3r0wP5uIMWIEuk4ddLPmGBe1g/oN0HXrwaJFqBMnIDISlZuLbt8etXyFqP5ZreiYGE8VyemUMdq1Sz6PoiIoLRQ1rabNhGvRsDFEVcG4804oLkJp0JdfDt9Nk2DsqqtRX38lpO3AQNTUb6Vd6o03ITBQ2uD8/eHwIdSG9eiGDZl/LIpO7OIK1jKe7tgpJ5ASsgi68H/U/1F4AwsvzjMUy6h31mdTCOd+hrNg4jOnP1lWJhmUXbtQq1dJFeLECdmYgvTvxydA8+aYffqI0FNKMmzbKm1VeblQtSq6SROIjUMfPYKaMUMIgF9/JWRs0ymZlJhYIZOdOC69/Lm5wh2wWmVyLy1FVXJTl1tT57UFyo3zWrGoBJXu6rc1DHSDBrLAHToo420Y0rrk4yOygaWl8ribEA+ycLk/G6tVAgJ85LOw2WRhcTqlZSE0FGJixT8jI0NkCPPyPK1V7jK9q1SvKrdTlZbIAhwUhI6sQsbuowxiNXYc2HFgYrDQy7nwwov/F/CjjAGsYzotSCWU27mVBeuuxLj6Spn/CwogLAzjmmFQOwnzhRdRE96HKlGonTtQixdBdIx4UWzYIPNMXh7qnbfR190gc/k334jnxSuvom+/A92sGcaNN8LGDehvpqCTkjBuuxXzsccxxo5FDxqEWr0KHRoqbZgOh0iRr1oFDRvChg1SYYiPh6PHJPu+ciX4W2V+ysmRjXGLFhKIlJaK90LbdjBvrsigFxbK4yUlnkpCeITMhytWoOPiUdu3y3vbfcDpxLB4tmy5difhxYjr9vHj6Nq1yQcCrFZp0XIdp7t2Q00YL3O4wyGBkq+vvD9gvvCStAffcL24im/eBKUl6HfGYbRuiW7QAN2rD2r2LPGZCAiQgKhbd9TCBZKIsljQ0TGyPrvn7fh41N69EqBlZkoyqmZNaN4c0jMwH3kMNfEz1JGjwk+JihL/j08+FufuDRtR33+Prldfrik0DP3UaGlLe+5ZqXwc2C9tawmJ6CE9UFOn0gKDe7iRbALoz3racIAvuPiMgUUMOaQQwp8Rkffi7DjnwOLEiRNeFSQvzguCKYIVK2QSXb1KpPdycmWBsNtkA1mrFnTvidmsqbTOHD0GW7eg9u6B7duEMNa0GfriS+Cmm9H79qEWLID58zA++ViyXO7WHl9fdL16UK067NsrrqtHjwhRLDYOFVoi2aNT/EsAmZztdk/2/gJULkJK4HDoeX8bD0xTPguQQKJTJymnr1olC7ZbaSsgEAL8hWSXlwvZOZ4WNtM1NtnZnjYru0tBy98fhZLS+YlCyfDFxUoVKSqqwtWWAwekypSbK7+7W7Ly8yUIMU2UUlyMiQMDB1aKsZOPLwGUEkIhufjjXTS88OKfi2JsHCaSp/mePcQyjbbQqBHmjl2wYgXG0MGS7NEabbFiXHkFukcP9PXXo95+WwKK7dtRaanoTp1QW7aCy61afTkRQkKhXz9RVep/Geabb0HbdpiLFmNcNQh1cUfMad8JD+HSPuihw1A//4Ru0xZ1/Bi6vBxlugQjsrKEOJ5UB3btlKpscJCQlmvUEPdrHx9pzcrKFtEPHx+PZOyJ45CTi+7RQ8zqlJLz+fiIvHdZqRTqk5OhV29YuMAjVKK1VN9dyLNrIlyBBQUFkJbGBqClfwB88nFFdUJlZsrzVqvHB6hIDE91rVoYkydhdu+B8XEq5sxZGA88gPniS6hePdCRVaB9B4wZv8DaNRWJNt2rF2rOHJmHLRYhZrsdwkEUpU6cABc3BICGDdGNmwBgjhyFMWoklJVCWbmcb8YvqNRUdMeLUTNnigv3po0SnPQfgH7qKfEgufkmdH6+dCmEh6OvvBL144+ob79FDxjAxIm59GMDbdnPZ3TiYdqjT1oDNK05wGWsJx8/3qa3V0HwL8Y5k7fDwsJ47733GDZs2Pm+pn8dvEQ9sGASQw5VyaAqmSSSSQT5JJKJFSfRdWIgNFRKnm3bygRUpQocOojavAW2bEZlZkiJuV59aNIE3bSZEOkOHECtXAGzZ4sxUWamR5ZWKQlMWrREN2mCWr9e2qcK8oUTkFRHVJ+2b5fHzmCIh2F4SrmV23YuEO7pC0urwebxf/CFbiftvwJKyXj16o2OjUXNnIE6flwWPJtNsmBWq4x1RASkp0tJvKzs5KACPGMYHOxpo/L3h7BwzLfGwsEDqK1bJcAsLRXJ2apV0YEB4gK+c6coirikbfPTc8kmkHx8KcaH1dTCFwcJZBFCMQBF2DlGOD/RiiwC/5ox+Yfj7yZvd+vWjbvvvpsrrrjijM9nZGTQpk0bDhw4cIGv7O+Hd00QdGE7tUhlKfXYTSzNOcSVrKb9/ZeiH3zII74xaybG8Bvkf15rmYNKS9G33gqRUaiffkCXlUlrkq+vZL7XrqnIygPowUNl82uzovsPRN99NzgcqHvuRi2Yj/nOu9C8BcYlHdEtWqL27EHHxqCcpiSqiotkg15cLNcVGAiHDkPVRNe6oUQtqqhI5jqrFSIjpR1o4UKZK3180E2bgtUmZHD3/FmrlnBFAgNFGMNmFa+Mhx6UzXvr1rBmDSMfacErARsAGLzLSpqPg3kvnMCoUxtsNl7Ny6N1g4Z0ObBfrjMgwLWOHvKIaPj6SmKsvBzzzbdQBQWoZ8dg3ngjxtp16MaNZP5esUJUrJJPwNq1MoiBgeievYSzUUn4pGKcXRLtlJTI+xQXy3s2bSqk+/79pSIzf558luERUiVZthTdpQtqyRIRYikqkoRS7dqY74xDbdyA+vILNEpa4Pz8MHv0xJg5QziSfftC1eqoLyeSeyKH44TyCV3YQM2Kzz+YQrqwg0vYzUaq8QstyPmPtc7+48jbL7zwArfffjs//PADH3zwAeHh4eftorz4d6EbW+nCDlII5QgR7CaWeTQii0CqkUEyYcza/rz00b//HmrWTMkYhUdA06bSynTttcKbyMqCtWtQixZhvPuOVBXcPfvubHmVKuhLOkk/7PLlqDmzUfPmohYtRCfVQffpI2S0vXukxFq5nccNwxB51PJyyazn5Jyd83GeEVLyP7RCuTJh/zO0RpeUoH78QbJmYeHoocMkWPv5Z1nE8/Ol7SAnR0wCIyIgLAxdtSocPoI6eMBzLT4+MsZBQWKCWFAAx49hDLlagpO69TDvvEtMnXJypL1ty1YJMEtLIDER3akzVKvOx4/M5wRhrKPWWS/fn1LiyaLY68B9wbBo0SKWLFnCE088wZgxY0573ul0cvjw4b/hyrz4p2ARDSjFyrNMxYGFBTQgmTB0h44YD45AR0SiH34E+vTFTE2Hr77EuO9eVx+/i08BmKOeRG3fhg4KRh08iNq2FV23rmTrXX9jaso36LAwVPuLYNFCjKVLMMe9j/7gQ5g4Ufr1r7sec9MWVPeuLuJ2oajfNWwgROsAl/rTiRNS8Y6NETJ3jRoSAMTHi3iI1jLXZWeL0lNgoMxjTicqNU34gDVryrHutctikQ261SrvXVrqEdLIzgbAUqkVKsvHJLxECVEaoLCI9VpzR48eMHabjEuv3lJtqGzu6uZXhIdj/Pwz2jTFp8k/ABzl6HYXYYy4D5q3EEnajRvltSEh6E6dTw4qfP08QYXVBrju22IR/4qAAKhVCxUQgHnvfUKMz82R5y6+BLVwIaqgQKpOc+cJIXzXTlkD3hqLjojAePQRtFKwfTvKMNA9eqKWLMb46Ud0j54QH4ea8q1ce8OGjDxRm53EV4xTQ45wD3OJJYcP6cajDMVZiefpxV+Pcw4s7rrrLvr06cPNN99MgwYN+Oijj7jsssvO57V58S/BAhqz4Cz97oep4vklMBB95VXo+vU9PadbtkgLzjvvSL9/Xt7JJnlWK7pqNejRA92zFyxZjPHNJJTri4QEzH79UBoJLvbsltYpt99E5YBCKSkr+/hI6T0tTSb5MxnIXUCElvxJgzzTdKl/+Hpat/4HqMru3AX5qElfo6ZMlqzTtddJdmvRItQP34nZIbgI23liPhgVhY6Lg6S6sHunBHfuRdHug44IRwUESj/x4cMYjz0G8XHoZs3Rbdqgr7oK7rpLHLlNU/qvt24hnAJacpBBrKEYOweIYjPV2FpJHaoIH/YS+z/dvxd/HOPHj+fhhx9my5YtfPXVVwQE/LcyhF78NiyYXMZGvuEiUgjhVhYRST5qzDPoJk1kIzv6aalUP/wIXHsd5jXXwjtjMZ58UuZopTCefQZCQzEfH4WaOkWqF3v2gMOJvuQSEecoLBTFppkzYMBASM/AGHQF5ujRIlnatCnG0CGwbh167ny4+SbU5s3opNqog4fQrVqhVq2WZEheHhw+JC1RoaFw5IhUSTLSoU4d2L1bKhElJZCVhW7cRKrq5eWQfAKSkqTtds8eGYgjRzzH+/qKYaj7HC51JQDlVoXSkO2rqZ5rgU0bXW2i5RQYBoGVCN5Km54ABTztUIDu1w8aNUY99qg4bb/+KuZLL2Ncew3UqSOGgdN/luPDwtCt2winoqDAU4UuluvC10+4JXa7x/coPFwCgWrV0X37Yjw3BnLzUKEh6Fq1Ub/8IuTvZUtRNpEvV9u2QmQk5pjnxGQwP09anh0OdMeOqHXrhETfuTPExqJ++EFUrNq0Qb/4MjRqxE7bM4DJlazmWpZThJ0vuZhZNMPbFnth8Kd8LMaNG8cDDzxA/fr1sVpPjk02bNjwl13cvwXesvfvY0HZaDhyRMrDS5ag1q+TDE9pmUsz3CkTnJ8fun4D6NcP3as3LFuG8cF4mcjLyyEiArNHT2jRQshm69adTDI+tTqhlGhuR0aKtrabVxEQKKodeXmeY//X1qI/+foPW8Kd/aD8WTD+TGzg9o1wy75qffZr+aPXaLPJYlJejk5IQIWFiQxg7z5SZfjwQwkIHQ4JAqtEoewulSm7XTxHGtSXAHLNWsnkuc/rqnjg5y8ZLIcDZTHQ0dHQqg26TRto3pxuQS9XXI4/pdQkDStONlH9TwzWvwd/dyuUYRikpKSQmZnJgAED8PHx4aeffqJmTWlPSE1NJS4uDucFVFj7p+C/uCb0YAv7iObgKWZl9zGTIEqoRgYhFPMF7Xmohyn+EHY7NG2GOWwYavlyKClGP/iwEICdTtTop1FvvgHlDrC5Mv316qOHDkVNmYwuKpKWzYAAOde+fR4VvPBwVMNGaJsNWrRAj3kWpkzGeP45sPtg/vQz6uOPURM/R18sm1rdqrUoUJmmrA0Oh5C5jx2T88bGyrpVVubxdLBaRTmqrExkZC1WiI+Takh5ucx5FouIWRw/hvbzkyRO48byHnv3yjyYlcXoJzvynHUZyoQauXDVPh9eTLgR9dmnJJeV8YTdzifVq3vkXcPChOQMniRZebkEQ+3awcqV6GrVUVqjL2qP+vlntNUKvfvAjF+EjB0SIgTq7ds8QYXVJv4VIGNeVCQBkcs0FZcSoB7xAGzYALt3o4oK0S1biTt3eLi0SRUUivKfS3Zct2+P2rpNWtAOH4HiInnN7l1QUCDSs1WqiOO3UujOXdAvviQVI4CsLBZFd6YjuynHwgya8ymdvRwKF/5xrVBuHD58mO+//56wsDAGDBhwWmDhhRfnigYcoxkHac5hjBY/QEkplJeh3apADofwLtq2RQ8aBJ27wLp1qLffEo+Kxx8T86EOHdAjHkQdPID6/juMn3+Cb6d4SMNusz2o8GDQCYmokGBp79m7VzLnvr7iEJ2eLnyLyj2pbk+Gc4HFcvqxVuuZ+RvngJAS0AoK7OLC/Yfh5ppYrbLAuojPFcFG5UDLFVRom00cWivDHXScqayOS1UqNw+1/1OYNUvGt29fzIGXQ14uaty7opBSXCyvDQlBHTsKe/fIORLi0W2uQNetg1q7TtRedu2S97JaUeHhoi9fUopOTUUtWoAqLOROShhPD0AqE9tI/DPD7MV5Qv369Vm7di1Dhw6ldevWTJkyhe7du//dl+XFBcYBoriUTVQlkxUkMZ9GFODHu/ShNfu5lI2EUMiDzEEtMDB79ERpjVq0EGPtGqhVWzwqPvkIlZqKOeJB9PMvoJ8eLTyJLyZKX/6mjaidO8TkrXZtWLZUKgJ5eeKFc+CAeF5kZcHSX6FnL1izBuPSPpjvjUffdDPqyy8wunTC/OBDdN06GI89iu7VG7VwgVRmF8yXykVurnAjGjeWACAjQzbahiHzrTuRlZkJiYmyzjgcUhGPj0fHx6OWLXPNqzJOys1LOHECXbOmrE+uFlLDaYIVLBoy/SDc9IGNksxdA7QNCka5OEu6cRNp9XXDMDzVik6d0JFVMPLzoWNH+PVXufbcPOjVS+7vxAlZL2JihdfgqppgsVQEFdrPT7w9XP5FFe2tEZGYjz2G8f57Emi5TFDVr0vQ9RugNm0UnkyWqEXp5i1Qx4/JvaJRO3dKMJN8ArVuLbpNWwgLQy1aKAHIgIHoZ8ZIIAewdi3G7bfC7t20wMaL9GcpDU4hbXtxofCHKhYfffQRDz30EN27d+eDDz6gSpUqv/8iL/6T2anfQ1820o8N+FOKHQexVVy971FRwo8YdCW0aSNE3bFvSQk2J0eCgsaN0TfdAjHRqClTUCuWy6ToJgUbFinRuv+0XVkjHRcvEniOcvSBgyJNaxiiLBEeLhOyK7OOUiI1WFgoE+ZvZfEru1a7PR8q40yP/QHMrg19r4XDb0Ji3u8ff9brs9lkbEJDJHhy31PlTNMp0H7+QlqsDHe5WynPwlm50mGxoCOroJwS0OjERJS/P7ptO/lcQ0JQE8ajvv+uwoEVX190YiL4B6Byc+S8YWHoHj3RNWugVq2WLJX7uq1WcV1NTGTr+lTy8WUfMWwnkU1Uo9yrpP2PqVhERUUBoLVm5MiRvPnmm7zyyisMGzbMW7H4D64JNhxcxB66so1QiphCe1aRhInBXczlUjbib/MYdOrERHSnThjffSf/+3Fx6BuGCwn44AHxqOjaDYqKUNddi5rxixzn5ydZ86HXSOvlunWAAh+7SKDu2lVxTTosHFW7lsxXt9+BDgrGGDMa0tPRt96G7toN4+orMXv0wJg/X+RQ586VuSs3V87RoCFqn6u6YGoxuDt2zOPNExoqa8revfJ7dIxU4jMzPRwLkPu2WMSPadAg1BdfuDbz5Tw3ogWjQzdgdYDDCh9tqMrNa8ogI4MnHA4Gde1Ki4UL5XouvgS19Fc5p2HI3O8oR1eJgu7dUVMmY95+B8asmZh33oXxxCho1kyqCLt2yjwfFSUKVe7/0cprncUKTodn7vfxkY6CDh0gqQ5q/nwoLJBAYstmSQolJ8vnkpkpwhxxcSirDQryJZmVloauWk1aoLKz0c1biEHuyhXyWV5zDXrUk64xNmHCeIxnx0jQaLVCQCCzMmL4iks4gZcHfCou1JpwzoFF7969WbNmDWPHjuX6668/bxf0b8R/eRE5FcEUcRF7ac0+giihDAu7iWP4pnehfn04fBg1YQLqu2niqqoUVK+Oee210H8gaumvqMnfwP4D4lNRXu6ZuAsKPJOeW5WjShVR5SgpRRcXiw53WZlklarXkHMcPy6TlN0OgUHoSzqhFrl6SU/N6FdGZddqiwU0slBUht1+diWpypO0G2eodqxMgA63wJb3odEZFHB/E27CuTu4sVo9JfKMDE97lJ+fp0p06nUZBjogQPwoKl+3+zWuRe+0KohLMURHR4sxno8PunoNlM2KbtVagoykJOHCfPqpSAc7ZKHSl18BsXGoNas8Lq7x8ei+/SSLt2Qx/PQjKjkZZ2kZe4niPXpTl2Tm0JQC/gwp5d+FvzuwsFgsJCcnVwQWbkyePJlbbrmFLl26MHPmTG9g8R9dEwxXH3w/NuJPKeuowXHCSCKVjh2ryMY/N9fTvunnh3nZZRjz58tGMjISffVgMAzUju2Yd9wJl/aDnByMKy6HFcvldf7+4B+Aed11GN9NEwEQl1og6eknJX10hw6S405JkQrF5s2wfx+6SVP0K69i9O0t2fXVq0TFaN48me/cZOYaNaQ6UqWKVOCtFnkPtwdPbKysNw5HRbun9vUVTwxXFZecHFk3lELfeSdq3Dh5D9PkhZuSeKrqXuzlUGaD7/a24vIfxHl8gGkytXcf7LNnyc0EBFY4a5+0rnTpgk5OFgJ8XJxUYD7+COITZF1Yv64iEKpo9/o9+PvLXH/nXaL4lJIigUBYGOrwYfG4OHZU7isrSxJJ1aujUlJErjwlWT5PrVEZGehGjcHfD7VxI/j6oe+4E/3ggxUVd3Xv3SLXW8GzrAr166MKChg738Y24inFzjEi/ro/2H8B/nGtUE6nky1btpCQkHDeLsaLfz/8KaMUKxPoQTrBhFBIN7ZhXDsMDh6UiSIyErP/ALjnXsjMRP3wPcbkyfDOO1KOdThcqkIWKC2o2MRqHx+U1SqZocZNUKYTrQzYslkUp6xWMVKqWVNKuzt3yEX5+MgE36076pfpqOk/yePurPypG213i5R7wXP3mJ6K31NkOlPAcoZNVojrFH9KGcqdTXIHX+7rycsTDkNJiah6FBe7qgAhHl6JW5HEND0md35+nudLS12ZKl/PvbiOrxijwkLUwYNyrogI6TvOzoboGNR741DJJ0QKePwEkWFcshg1frwoj5SUyGLVoqX03qanoSZ9JVUkq1Uev+wy7rtxMTVJYx8xbKtE2Pbi78XZclZDhgyhXr16DBw48MJekBf/KJgYfEt7vqU98WRyLcsYwAbKsKCIEuds00QdOSJJkNJSjG+/BcPAbNUalZaKem+c8K969UYtW4Z6bxz6xpswFyyE5GSMyy6FbdugqAhjwniIiUEPHiybUlcFXNYRqdiq5ctlM1y9hlRIo6NFXnXhAtTgqzBnzMIYOhidlIRauAizcxeMhQtkw1tYKLKuMTHC1YuOhsIiT3LJ3RJVs6Z4V7gESCpEMbQ+uWphGJCc4qo0yObecCkwuRt8wiMToHwzpmniVArb+nVyqrg44UecAh0XBwmJqMWL0cOuEVnv6T+jg4KhRg3pDADXPH8W+fVTERAg43TNteKMXVAga+zu3S7hkDJUTrZUQihA162HSkmWZFNeHso00RERYpJar560SO3cKWIuz4xB33a7rKUbN2LcejNs314ha6tbtET5+YlK4NWDYfZMrpv/Keupwdd0+BN/lV78FTjnwGLevHnn8zq8+I8gF3/KsHA3c6hDMnacFOCDrtMJPe59aNgQNXcO6ttvUQMu85ijOU1xK7VYPVriSkmPp80mqhQtW6D9/VEFBZJBWrNaeAIhIdC8hfggrF0rJkVuJ+mqVcWcZ9Ik1KSvPe09blftyi1Q7uy/n58EEkqJF0MlrfQK+Pmdtb0IOJ2vUPmxUxDiOs2fUoZyaadTVibX5JIBxO326uMjbQEHD8p1FBRK+Ts/32VQaPdUMdx8ioAACULy8uTxkmJ5n8AgT2ncavXcv/scaWnCw/DxEWWuBg0rFlv10Yeow4fQzVugR45Ct2wJe/eiPv5IJG6XL5Nrr1oVfeVVEqSsXIl68w0eJoUMAllMgz8xQF6cLyxatOissuTNmjVj/fr1zJgx4wJflRf/JARTRBOOsIbavMIAFJq27OUl51HYvw+UIW2tUVGS2T5xHAoKMNasBkDHxEBUNGraVMmCt24D69djfPIJeuhQzNVr4cABjF49hDNw8CDq66+hQUN0WKgoDhou2VSHVGyVO/nRpAk6Lx+19FfMIUMxvpuG0bsn5kcfo958EyIjMJYvE0O3X5fI/FpcLBXW0FD5HhkpN+oOLIqL5dzuYCMzU9YndxIqO9tTBQchTLuDDaUwiiUxpFxLRnhYPJgme4A6NhsqI8M1sMFyvyDzsSthpapVh6nfivnfkiXotm1Qv/wCnTuL14bWnmtznEP7bkCAEKotFuG4GBZpK96zV/yhkpPFBO9EvvBJiouFV1FQACWlcmxGBtSqhQ6PQO3bJy2wb41FX3udXPsnH2M89aSMjcUiY9qokewJLuuP6eeH8f44CZC6duM+bjitDcqfUor+o5XBvwN/ShXKiz8Gb9lb052tXM8y/CklB3/WUot5NOIgUVQjg0+fr4r6ZbpkenJzPe1D4RHSrpSTI78rJcGDywdBt2gBiVVRBw6g4+OECHf0qAQN0THoenXh6DExW3NXOqxWaNQI3b0H6qOPIDvLk82vHFBUmuArNsvl5Z7J1801KC723KrLSI6S0tPbotw4E7kb0NWqicHTKSiwQ/Ao+HoaDN32Jz+CgAC5v4AAzzUrJZO00ymk9W3bZNwKCuRxi8XTLlW5+uIaG123rpTTc3M94+ZwiGa71SqBiZ+/bAzcLVMWi8c0TylZmNq2hfAIVGaGmB+WlaH275OKxKAroUULyMmRbNjnn0uPsjYrdNVf+DKXxTRwaZN7yXpu/N2tUF6cHf/VNcGCzKdORP60EUe4nQVYMDlKBCuoQz6+vP5ULfSl/VDz56E++1TaZ1zzi46LE3+K7GxPG5PdjtmgIcaO7TKv1E4SHsS2regBl6Nvugm2bMG4tE8FJwI/P/E6OnRI2pNAuBFlniqzDg5GVasmkrHtL5L2rOPHxVzvxHHUzFlCPm5QH7VmjcylpaUy//n4yHzo7y9rhtsLyWqVasYxl1N1WJhUZtzX5Z5rlRL1JKVkHlaK17r781iHQnzLoMQORx0jiH/xHSaaJj4xMQxJSZFzVOb1uZJXOjYOggKFS1izptzPV18KoX3PHo+HhmH8vhGs1SoVheuuk3awnByRzz16FB0ZIQGFO/kUFCTrgKO8IgmnQ0IkoEhIRGsTlZoK0TGYr7wiUsBFRaj77kV9O0Xuw2aTKkhkpMjXduuO+uE7We+rVsN8/HG4/ApQim62ZwBIIJNebKYex1lLbb6l/Z/4i/134R/HsfDiz+O/uoh4oLmBJWyhGttIrCDWBlBCO/ZyI4uJj3BtOK1W6clPS6swBUIpdGCglDwdTnEGbd4CtWsnOrIKpKYKSU1rKVGHhoqb5+LF0utpmvJ6DfrijnBxJ9Q7b4vXgsXi8XgwDFlYFCdXEbSWCd6dDQoLg6Jikcmr3AKlDPB38Q5+a2J2K0SdUqHQ/v6isHHa6IH9aXh3Jtyx7s9/CgQEyLUFBcl39yQfFydVnqrV4OABWYjy8z2urW6DQJvNMy6VHLV1+/aiE++WIrRYRTXEz08yd1lZsriWlUkVQ2s5d0mJZxzcfJiu3aCkGFVQiG7cWHwwdu08OchwOKRl6uOPUMuXU5iSTRkWjhDBbJqzmlpk/0fctX8L3sDin4v/6poQRxb3M5tsAlhBHdZSk3AK6cRO2rCP6qRjYBLUyOXzgEb36oNu0Rz1wQfSquNWDQwMlPbXjAyZh10tsWb1GhhpqTKvR0dLgLJ3D7pnL/Ttd4hE+dVXeiqqfn7ozp2leuGef92cMTfq1JHjg4PRMbGojRvQLVrCJZeI3K2/Pzo+QVpsnU6Z61w8CQxD5kRHuZzD7VatgaJCed6vktGcu7XWMGTOTUgQzx7D4M2LrTzcpQzfUijxgaI9V+P7zVTu1pqHatWi5v79Z2/BDQuTAKBrNxmzXTtlfi8ulsqJ25vi9wxVbTaIjUVf1AG1bKmsuwEBKDcfQ6mKZJOOjpG1xSFrog4LEzWuKlEis5ufD1WrYn74EXTpCtu2oW66UbiQ7nGqV094Fr37oDMzML6dAqZGDxuGHjlK1jM39u7l6wa30JFd+OIglRBeox+phHhN8fAGFv8q/FcXkd9Cf9ZxPUvxo4wi7EQ0qSW9tLk5coBbts61AdW1aqO7dUUdOowqLBAS8I8/SLk3Kgpdpy4qJBjTbseYPUcmbFwZJ9NE9x8AzZujXn9NJlF35vxUwnHlzb5SHh3yggIJemJjpZ1HqZMrFYYh5XSQ9z4TMRtOCyq0xYJyEdB+q5814jF4dBk8tvx/GHSLxRMchIS4NNTz5feEBMjJhcQEuVd35svp9Ej6paV5ApP8fFkMCwrkXvz90d26oRYuEsKgOzPnWmB1QoL0/FqsEnzl5JxcQXJvDFy9syQlCYn+yBFZoJo3FxWY7dvQLVtJkNG8OSjFcNs99GETbdhPCTY0imJsjGRYRWb0vwhvYPHPxX99TYgkj/bspTX78cHBXmL4gVaEUMyzTCU+3NV6aRjSPx8ZiQoMRF82AO1jx3hvnMi7glQxIiIqevYrJLNDQ1EWi8w1wcHoPn2ELNyhI/qee2H6dJEodVePg0PQTZqIh5LT6RG2cCMwSJy2CwrQnTpJ61BgIOZjj2M8/pi4fgcHiVeG0+W75DK7w99fzlcpAHJ7U8h7B3v4g5VhsaDbthWZbsPg7XaKB3o68S0Fi4K8WS1QmzZyqdb84ucnUrUREbLGVYaPj6w3oaHSOuzjI4my0FCp8LuP+b2gwtcX3aYNKidH1KLCw2VdCAqScXa3y0ZFSfJNm7J+h4RIi1lEhKwd7jX984nQujV8/jnGyMdkPCwWdJUqqMREOaZRI2mH3bdPlAWfex6aNvVc0759qC8mon76EQqL2HzYZCsJHKQKMeTRkGOkEMq79D63P85/Mf5x5G0vvPjfoKlKBh3ZTVOOUIaVNIKJJ4NwCqSX1NdXVDlSU0VqLi4O3X8AKj9fHDkNi1QZliwRR89mzVC1akn7zO5dMHs2hluqLzxcJvcbhouD6EsvwrSpHp5ESYmn7Ot+jdup2mYDp1My+e5JNyAAQkMl26L1yfwJd1Dh61MxMZ7W6uTeaFdI9cn7KfdxTZqIkdBZEPJn3bcrw+3CXV4uAUFIiFxHbq6U5atVk+8JCei27VCrVoqh3bFjkvlrf5GQsdev96hLuXxBKChAzZwp7Un9hohjq1uP3TCEw2GxSDnb7TIbHSOfp5uvEh4hWayiIti+HbV9u5yvQwd533370LFxUtH6ZhJq1OPolq3wpZwP6caHdCeIYtqyj3bspRtbmUvT3x8XL7zw4oIig2CCKGEldThOKFeyhg/4BCcGm6hK7GsPoVatFD+F48elXckwUK9FeMcAAOzZSURBVAcPiXNzjRrou+9B7dotgg5ZWTJ/h4SAzQ452bL5BUkI2eyoyVNkjrbZMYYOQTdvjnnwMHwxUXr483IlAx8dgw4Jlvd0rQWYpngb7ZUMu1q4UDgDmZkYIx/HfO45jNGj0YZCxcW5jPAssk64EzCBgR5+nlum1p2kycuTudkdWLgTXJWDG9PEMD2tnuHFoI4cpkRrfJSSoAIgK/vMg+5wSHBWtZrcZ2iYJ6g4l0pFYKCQ5Fet9ARN2dlyfdnZUnEJDpFzuQVBAgNlnfs/9s46Tqry++Pv507sbC8bLLl0tzSKpKgooYCIiaAIKBaKhYCYiAqCgaBYpISBhCCtIALS3SyxwXbH3Of3x5m7M6zoz2+I+nXO67UvdifuzL0znOc553xCa2kqJSeLXPyns6BqVdQjD6M6dfDCnWrXRpUpAx07oY8cRq1aidrxs3iWDBzodRA/dgz1yUeoL7+EnByBR7W7EpYtoxFnaUQ8SYTyOW0ZTx8K/AZ5lzX8hYU/LksMYQ0uCgmkkHKkUZ4MijFIIpRDhNOifVXUgf2iY92nL4RHoNZ8BykpojG+bz9qwwbpXl17HaqwABo3gS+/FJylxwuB8HAwbJiPPIoKD5OCwpoweFSKSrrkFknbKiqszb/NJouGpWZUtqzHJTRbkq9v8rfbweEUIuCZM1L8XEo+03odC39r+WV4jqVDQ3+THRBe8G+qQlnv05rC5OQIvjctTc4nLEw6Z2lpcOoUVI4TaJlGIAQrloux09mzogzVpCnmhFcxxo+XBTE8XI4ZGgp5+TJV+GKxyBhe3UF4EZZxktMpGGWl0I0aSdGmNVSsKIttRrpcj/BwuTbp6ZCaKjjm7dvlfdati7ImF7Vqo6tXpwvruZ/VHKI8n9OG72jEdzT6Ny+WP/zhj8sRS7iClhyjO7twUcReKvET1WlEPMaL4yE3F92osagynTiO+nYFnImHE8dFzWjPHpkydOmKbtMGtXy5yFDn5kiujY2VHJeTg0pKBEA7nahVK6VgyMzA2LkDXacu5pFj8PrrGNPehcQEeXy1apIXLSlZK6+fPg2BQeJu7RGUMJ5+Gn3vfcIJsNulM2959OTlydpkwUutyYDbffFa4Tut8Jmiq3PnS2423B7XcCWFBVlZ7ASaOhxe+K0uJQDimRzrWrVQDocQzV0uSBFor+lwYPwWdFcpaQJVriympUHBkJ/l5ZNY+T0sTHiF1vlaCoGGIRyVNm2koMjLQ919J2rnTjl+UBDUro2uXUf4Gau+Q838EH3TTZi793oJ8CdOoD6aKetLTi66Shy6Xn1Ys1oKpY0bIDSUxbRkIS1pRjwtOcZpotlO9d/9vfTHfx7+wsIflyVm0pEWHGMwa8klgA/oxCHKMZqvqEwqNO6JefsdqG+Xo44cxuzSFdwmauaHKGeATDK0ia5aDe0KRM3+TAx4QDaiSkFwCOa451EFBRivvCQjWpBknpIiHAZLocgyjPMkdx0QIApSFSvB+XNSVAQECMTq+DHpvPiaytlsnkRqCjzq4EHPBv4SRYXNJl204iKvpKDvIuJ0ysbZN0pBqcLzIfP3TCwuBcEyzYvJfImeRfPcOW9REBMjC2H8aYiLk8nB/v3ojp0EGhAcLM/d8iNGagr6uTGwdKmoNRmGh3dyVq5FYiKcPCnE7gYNRPp33lxZhDz66OrsWcH7NmiIyvYoUEVGyoKUlARZ2WAzxFwvKVnea1qaFCpBwRBbVha6Y8eoSSIHKc9xYin242j94Y+/RWQRyBoasoaGdGMnN7KDO/mBSLIhORBdrx6ULYvx2SfiK1GxIvTpK4XCiuUyXS0+idq/T7robje6+w3ounUxFnwuvATTFD8Hu03ctj1TDK2UeFRoLRvWQwehSlXM3XtRz40WWM3x4yIQUqMm6rRHVMOCzFqmoRERcPAgNGmC+vAD4V2kpghcNixMJhFFRV4VvpwcyXFWns7N9UrV+jabfA1VU1NKHm/4pPaoPKC4mJ+Alj6w00vy++x2VEYmpKd5DGRlulFks3FXURHjgVqX+pBsNnTjJqjEBDh6xDOdzpL3l+dRAwwLk/eck+OF2lprUFY2uls39Icz4btVGK1bCkzLMNBlY1EVKqBbNIc9e1Fr16AaNcb8cKa4gYOsI1Mmo774QiYTlSqL+erJrah4D0y2XDnMcc9Dw4aob78lbuJCBvI9P1GDSXSnGINWHOFnqvvXh8sU/sLCH5clKpFCZVJ5lltJIhwAFwVM5jqu4CQ3H9gvUqL1GqDeewfj66+hTh30bbdJZ/vqq9E//4z67FNUUTEohBiWlwvlymFOfAMVf7rELRW3W3C3Z89KkqtaVcbl+fleNScLAqWUQKtatkRt3ixJPCICatQQLe6ICNnYWsnS45VBUTG6bj2UR/rwku7clvqR3SaEZuu1LQgWQO06AvUq/TzfwuL3Tiys55QuMKzpjHXb6dMCETt92stniY2VoiM+XooLm4E6sF+6STm5qAP75XwP7EdNngRXXIH53nsYTz4p1yc8HOVZHHVklCxGO3ag9u0XUnZUlBQGljpKVJRAx86fQ9euA8FBUqC5AqFGDThzRj6/4mKBP9kdYprodqPT0uS+gABSCSKZMBpwhu7s5GeqsZoGJBLxOy6YP/zhjz871tKAa9jDWcqQRBiN65dHXUiB/V9KnoyKEu+b778XGdrQUPTNfcAVIA2m+HhRkztxQjgEkZHo2+8QGM4338g01G4vgSIpC8qqlOSRkyelsXH0KFSqiLl5C+qRh1Bbtohxp82GrlARdf6cF6IEXjO73bsFNrp7lyjdNWwokNHAQMm5xcXeaXVhoWzArQLAF1Z7qWl3fn5JM8oqLLSCyAKZRG8FbrdI56WLCqXktcuV8xqZeqIIGOh2059fKSpcLpksHznqfb9FRVBULL4fHpgTOTlekRMogQrrm/ugJ78FY8diVI0rgTtRrTq6Tm1AwY+bUWlpmEOHoh9cLfefOoUa8xxq8SLIzkFXrIA2DNT587IXMAx0vXro0WPEH2P1dxjfrkCfPAkBASykFTZMurGH+1hDAMWsoT67qeIvLC5T+AsLf1yWOElZTiIOvKHk0Z0dtOQ4x4hlG1W5KfsM6pmnUcHBmNddj5GXiw4OEV3y3XtQ45+XJGa3o6tVRSUno+IqY741FbVjB8YDwyE5ySNHWBF18oQoS1WrJok1/oyoOAUFecfQQcHiwVC5snAENm+WxF++PDgD4Ow56SZZUoSWakaZMpCXJ1OUFSu8U4hLLQo2mzzH6u64XDLij4wUyURAd+t26cLCJ8Lz4WTE77zYl3ovpumVfvX8bXEnSE6WhB4cLLCks2fhdLxwLsqVh6PHUHFx6L59UQsXiinRrp2weg3GmbOYk6eg5s8TiAGIIteZM7JQFxWJCdLq72RxvuNO6Rx+9aVMIKwCw12M+vlnqFIVXa8u6gdxzdX16qNSLkhRWFAgU6T69QX/fPICOJ2UJYp4IqnCBQ5QgRRCuJXNTOVazH8wedsf/vgrR2uOUIF09lCZs5ThB2pzN99jxw3H89BRUSK4ceAA5ObJdNSzKdexsXDsqEyWTRN99dUQHYPa9IM0ORITUTM/lNwbG4vudRfq2DH48UevQITNJhMDD7dAZ2SIumBQEOrYcXTFipjfrkINH4o6dkw65E6n5ElL9ELrks28Sk0RpaeAANSWn9DXXCNGnwEB3uKiuNhjeOcj2OF2X2yiV7opZJpSoPgUFqaCMgU2wCQVfttfOjxcJvKnT4tyoemmGBgE3Az0vtRzIiPlOhw86PE+8hDLraLI5bpYftyC2xYVoe+9Dz18OGrwIIxKFbwCKbXriET5zh2otWtFZveBEegxYyA+HjX+eYE5ZWejY2LQWVlSTJw9I595hw7oewahduyQAu6rL6XhFOCSqdOxY5CRwdNkkkooxynLD9SkOknk4iQf57/9XfXHvxb+wsIflz1cFHGSGH6gNuNZyI38DO6m6AdHoHbuRDVogOlwYrw1CbVoYQl/QleqjDp3FlWrNubyb1Grv8MY0F82xoWF6GrVUEePok6dlK5IQADq6BFJbEGBXrlTSwZQm8LXWLbUMzIPRjdogDp5Ct2ho2B6LYlZZQjxz6NqoXv0RM2dI4tacLC4QZcOh8PrVl1cLL97YFjKUgNxudCHD/+/7gthBf8CedvXe8N3ipKfJ8om2VneMXxOjhRbObneBSMuDk6fRsWfRqOhQX3Url0ou10+ow9miFxgcRHs2Y2a8Cq0aoU5azbGiAfFiyM4GF2uHOrgQXS9eqKdXlAgXSi3G/Ppp1E//4z69lvxqMjIgOhodES43Fa2rGiVr/xW3mNcHNrhQMXHy0aj2I2uVh1lt1H34FHqksAuKnOaSPJx8hbX/86L5Q9/+OPPiH1URgGd2EcLjhNDFukEcZoo2ndqIuIN+/d7N+MhIbKZLSqSHGPJhEdEQEKC5IXsbJGprlQZtXOHFBnx8agPPpC8X6UKunkLmTKfPu3l2mktUFhA5+ejftoifIQjR6BWbcyXX5Hm1YULXrNRS/nJKgIsrkFiIpQvj1q2TLw01q+T1wY5Fwsuq2zeHO07abiEmqB2OlE5ORiWSTcQVWCQCpT5rYustcCgPOp6mG7cwGCgB9DnUs+pVk3gSlkeyJPFK7T8mzwFBHDRpEI/+RS6Xn2MRx9GvT9N7ne50LVrgzJQhw+hzp9Dd+yEHjsOAgNRU6dgNKwvkKnwMHRCAiojQ6ZIISGYA25DtWyJ+n6jyNauWSPXPTNTplPWe4yOQdetC8HBZM9dTjnSiCUDDRynLFsuPZPxxx8U/sLCH5c9kgkjmVAeYRlrqUdF0ri2UiXMVi2lm/3aBEnyWst0IDIKzp+Dli0wX98ARw5jXNdNknxBAbpmLdTRIwJbqlJFOBdHj8q4OzBQvCmsKUVoqGxUK1YUTe1vlkhyjIkRN9ItP2LePxTjo5ky5ramEUFBUlSkpYkp0LRpcrwykai01ItP0II/gRw7Lc2rWJKdLd0gq7CoXgO1ds0vL1KpxeVfIm9b/BEL6mVNL7SW4sK6TWspyqpVk+uTmekthmrUlI7guXNo00Q3ayZFX6ALfesA2fAnpqPbXy1dvgvJqAP7MT/+FPXhDNTSpeKiWqVKSRGlr7gCtXevOMhOnQp2O+aUqagFC+QYGRmihR4ZhVmzJsb8eQJ5uONOcWM/exYiygjM4NgxgSXk51OIgwOUpxJpjGAlBTioRQKf0b7EM8Uf/vDHXyuycfEjtfiRWsygC06KacQpOrFfOtKpqdJtr1IVggJlk+8DYSI0VP7OzpaioqhINr5JSQKjysiAuCoyQT12VIqMI0fkOE6nbHgrVBBju6wsb4Fh5cvCQjENPXAA4+ABaNgIs/8tGI895pUaDwqS92A1cKx/z52DkBDU2jVCmj52zKsKaB3f7fa6alvn9Cvq/8ozHbDmr24DInO18Ct+6yJbPA/PdMUN3AdcB9xS+rGGARUqiNS4RVa3IMMWd8K3oPAoKJrPvwCnT2K8PlHWbaXkc6tVSxp9R46gq1XD/ORTqFcf9dxojI5Xy/UNC5PJRH4+KuE8OjoGc9gwlDMAtW+vNOy2bYPEJLmmO3fKtShTBl29Otjs4h0Sf1o+Y8PAQSDrqM9sruTcRbMcjd9A9fKEf9X1x2WPAIq4hj1UJJ0cXKyiId0unMMYNKjEy0BXrgw2Gyo5Gd29u3Q4lEJ9/BHqtQlw4YKMVZOSRCGoXHlUdBQkJQupLzJS8KE7d3rdoPPyBCrV+ybUN0tkjO5yQfkKQhLeuwc9bDhqzmxZ1IqKZOwdHCxFQVIS5vAHMF6fKMeMiBDX7tJhdXaCgtCejphSHl12txvsXuk73a6duIL7hq/jtyci8hUZrn/RcsYaq/uGhVe2ZHOVEjWoRo0EX5yeLipYWkOdunDooBARi4tlQ79PnG1148aQl4/asB7do4dAwnbuRD0/Djp3xhx4D8awofJZBAYKf2XrVpliBAfLa7lcws+IicacNQc1eRJq21bIzsLYuhUiIjBbtMT45GMpQu68C2PrVlGDCQgQY74TJ+DYGZoQz1Fi2UhdapHAdeyiDz9xgmg+pDM7qPavXTt/+MMf//Ww4WY2b5ONi0OUZyvV2UMVUgihEDs2TL6hGdfvni5P2L1bYJarV8sGOTgYXaECBLhEVCMtzavm55kMq/PnPUUCAvksyIfsHJmIVqokohLnz3snIgEBkttMEw4d8kKSwAthOnVKiMR790DjJpjdu2OMf77EUE8HBKBKP8+jJqWOHvUaglop3Le4sAqK37IU8xRU1sQCAyKz3fwEdPu159jtF00XTOB+oDMwoPRjg4PlfaSkeKYqHul1w+YVG/FdT1wuzNFjUJ/Pw3j2ac+6bRM/JK1FHfD0afQDD6B79EK9+jLGoHu8BPPcXHmNCxegajX09d1R589KYykpuURIRFlKjB6ZXIoixcT17FmZwtjt6Bo10IMHw8OPQkQEtzrGUYZsanOObuyhGsk4KeY1eviNUy9T+A3yLkP8082QSkckWTTjBArNQDYQRQ6uQLtXxzotDXLzMEc+DiNGyMb800/E3C4hQVQ6TBNOnRRSWmCgJKnDhyXRXNNNOuC5uZIcwyMgM0PcQtu0Rc2fJ28kIgLq1YPkC+jYslC3HmrLj0Lky86W+0ND5efMGTFCen6cJDpLycMKa3Gw3FINwysxWFwsknkeN9KSTlBwMOaUtzEG33Nxt6p050oppjeHYTdoisYjONtf43T4vg9rTG0R+KwwDJkCXUiWv+12sNnR7dqitm6DAKd0rkxPgbR/n3TmnE6oUwfOnBHifIBHrWvqFKhWTTpP8fFQrz5ER2G+NhE1ZYoYGQYGQVCgGBvu3IHZqzfGihWieGKZ9TVqjPncGNRzz0rxoAyRTgwOxuzUCWP5ciguxrztDlRykmCutebj1AY05AzZuEgmjBoksonahJFLRw4QRi4axQbq8gGdyCbov/RN/muH3yDvrxv/5DUhghwaEE9LjlOXc0SSg51ibBSjUBhogsNcEBSMrlNb+BM39YGGDQXWtHCBwFcPH/ZAUUMEHpWUJAIZVqFhddWhpLtuGaZaEqo6Pc3zPE+n3eVCV6+BSk66WAWwdAQHQ82akv/efdd7+6/lZZdL3k9wsKwDvhCqfyFmNYK7PPilL+bBJwdhDnBJlKzl4I0UFUOBK4G7Sz+uTBnvRt/y7ADv+uH7PsPCMIcOw5gxXYo6z7npsmWlAWWzoTt0lAbdjOnCrSsokKKjwDNtstsx69dHXdEcdeok2u4Qjt3JU6JGWFAgAh4VKqCzs0RlMC9P3kdgILpxE/Q9g+DOO+V6JyXBtytQixahft5O/vlk3BgUYecsEeQSwKdcTTWSycfBKhr/y9f9fyX8ztv/Q/FPXkRKh4Ni7mIDPfkZhcaNAjThnduhDh8BpwPzhZegXz8pKObMlgnF+fMy1g4PQ+3dB+FhmG9OQu3ejXrjdVEKat1GCHQnTkjijoqSDrzdju7eXeQFDx0So56Y6BIMv+7XT7pK8fEiMZifL7rdTidEloETJzDHv4jx1ChJcE6ndyHyJa45HN5/LXnW/HwvNCorC7NvP4yFC+S+Ro0xa9fCWLRIFp58b+ItXQjMb6AZ0EeT/orwLS6Sj7WidEFiQa4sWBR4C43SWFm7HR0WBq3byIY9MFA4LUVF6ACnbPStAqBefXHXLi4W2NItt2C8/JIogXS7Vngx4eFQrx66/62Cu31wOGRmQaBLlKWOHoXCApGzXbRQnhsbi0pPR1/fHT10GMZjj8DBQ6Ko5SEw6ht7iMpLVia6d2+oVJkdbyxkJY3ZTRw3sIPanGM2V7GLqtgwacVRzhHObWzmB2qzgfr/1e/0XzX8hcVfN/xrgsQg1hJLBuVJI4osnLhxUUiIy/DmWIfD6wMUGopu0BDdsaPITa9ZI5PtEydEDjU3V2BOxcUiLWu5dxuGN19bOTIwUI6NuHSTl4+6kOydIgQGinz2mTMXKzf5htMJlePEsfuLxd7bLwVrMgzZeEdFSTHza0XLb8SchnBHX/l93UyYcBqWXuqBPuuDCTyAQKYGlX5cUJA8zioqrPcOF71/XaYM+uoOGN8s8T4uPLyEHyKGhQ+IB8Wa1d7rZa07LpcY2kZGSmFld8g0OyPdo5blgOgoaU5lZHg5JxFl0FddiR7xMHToIBOVFculuNy2TdY330LOMCgo0hRgI4sgEgkng0BOEMsxynKE8iTzz82F/sLifyj8iwhEkk1PttGOwwRTQA5OirCRTBiNOENko+qYk96S5OF2o+bNRU2YAOfOyqSheg2ZJths6GdHo6tWwxhyrxQO5SugW7RAfbfKm5DCwuS+cuUwb7sdY+oUr2Z4uXLodleili3FHPc8xqefQFq6jFiLigSTq7VMQw4dwpz4Bsajj3iNl5wB8jtcPCHQWjrzAU6BXiUkSGItX0E68wUF6KpVZREEuPlm9HffyfjXV3+8tBa5YZDpUiS53FRLA5vm0gtX6QgI8BAfPYtqYaG3o2YY6IqVRHHD6koZhhgQxsUJFyIwUAjxuXnooEDU9u3SmUpPhwYNxRfk+DF0nbrQpYtAyA4fxrz3PoyZHwp86qr2qJBgzNdeR735Ourbb9EtW6EuJIsJ4dKl6Fat5TP/fqO8h3LlIPkC5v33Q7duGA8/JMWiVbgFBKD73SL8mIQEfiyKYws1aM9hvqcOS7kCB8XkXLqP948Jf2Hx1w3/mgCVuUAaIdhwU5sE+vIjlUkhiELCy7gk/yiFKiySbrcldwqSx6yCweWSSYTLJdy52HKQlCh51iNtrYvdqJzsiwsNX9iSYYNAT74ICvYUJmleafDAQFERvJB86byrlKxTcXGoH3/87RO32WRTnpb2L08t5jeAAf3k9+XvwNfJ8M6lHuhZHzTwINAU4VZcdL9lwvcbBY6OihaZ8MOH5AbD8MKKw8LQffvJFGn9Og/US5ccT4eGQqPGKNMt/ayUC/J5WCT30FB0Tg4qN9fLByxfHvP67vDEKFnDly9Dff65QGQvUUSUNPV8JituU5NDAOuoxyRu/Jeu7/96+AuL/6H4Jy8iVUmiPz8SQh4VSSMXJ3nYySeARsRzmmje4AZmFr0jm8uFC6SgOBMPUVGi4LFurWz4Bw9G33k36u67xF/B5SESL/1GElZRkRdDa7Ohr7kGsnNkHAsy8q1VCx3gQp08gTn+BYxJbwr+9vgx2QjXrInKL0BXrYLavVugSg+NkBGtUrJwWIUBXEzStmQFrX+tH5tN1EoaNkbt/FkeHxqKfnMS6r57vc+3EnxgoJccaN3ndP5616x0WEonhiFysufOeZWwrELD+jcuTqBfSnkX21q1RZo3KQlcgeiaNeX8g0NQW7ag4yqjzpyFK5qh46qg1q9Dd+wk1zcrC7V4EfrKqwQHe/CAeFLExGA+8ijElhPuhemWidH+/YJP3rwZc/Bg6YgdPwHBQdLZS0vDfOFFqFwZ47FHpcsVEOCFNtxxJ6fe+owKpPM23dhFFU4T8+9+Xf+nwl9Y/HXjn7wmWNGbrTQknmCEmJxKCKcFGMujEzuBwykb2l07RVXO4ig4Pd143x/wbjQNQ/JWaAgqNBRdvjyYWpooFnfO7ZbjWR11w0OLtrZDzgDJgQ4HWmvB+lsQqqAg7/MvFRERIid+/Pivn7y1Xlib8d8Zn9eHWz2s6/deB1f2JaBNPkXFw0B9BAZVEhb34rcKirAwlNuUyTSUTHbQWngu5SuI/G5e3kXH0VFRqCpV5HGZWcJBLCgEtPd8rXM2RP7dfGAEDBsG69ai5s+XIiItzSsw4iuG4jtx8kyACA1F16kDXbqie/Xm2paL/H4VvxL+wuJ/KP7Ji0hNEihHGh05gAbOEMXNbGUvlZnE9VwgDIXmu7kNMV6bIHCkkBB05y4iO5qbI86dL7+KGjdWYDMgRUN6usCbiopklBoSLAtHbCzmgw9hvPm6SP8FBIh8addrZBNcubI4uH72qbiRHj7kISvXkQKgTh3U1m1i/vbQQ+JWqjW62RWS9KwiICICMjLQLpcQ9wID0WUiISJclEcKCqBqNfHXyMnBfGKUnCOgm7dAv/4GRqcOv7xo4eEyLrbC6pjl5v7/i1BpXGxYmPA8rGLHMmmyCguLn2Ile5dL/m7cBBLOy7UNDIKaNdCZmRAWjvrhe7lGBw9C27Yi0btokcCUkhJFv338eAhwofv0Qb33rlybjp2kWHzhRVH+WvoNumkzWUAiIrzeFYMHoSZPls8yKspDdteY06ZDTrYQvhPOl4zxMzMKWUIz8nBwBadZQWPW0AD3P3xx8RcWf934J68JvtGD7bTjCGCSjwM3BgpN5+bBQuDNyy1RgNLVq0ONGmi7A5WYKEXHmTMyybAmuJZrdXGxd0NqNU0CA6XbHhaGDo+QyeuFZG+BYcnXwsWiF9Ym2MNFoyDfW2RYm+VLhcuFdgXK5OPXwuKR/c5YVA/69ZffR7wAQ91Q7xKP08BjQE0EBlUSpSXIS4ePJDrgLUIcDnRoqMi7+pLUlULHxKCiouT6paXJvxZE2Cr8fKFstWpD7dpw/ATq0AFZ66wi4rfCbpf1o9kV6Ntvh85dBBVw1KP0dfgw6vw59qw6wAqaUIZcKpBKLJkEUMxO4jhBWdbQ8Pdc6v/J8BcWpSI1NZURI0awZMkSDMOgT58+vPXWW4SE/DrLPz8/n5EjRzJv3jwKCgq49tpreffdd4mNjQVg165dvPrqq3z//fdcuHCBqlWrMnToUB5++OGSY6xbt45OnTr94tjnz5+nXLlyv+u9/5MXkRDyuZONLKYlJgYd2c83NCUPFwrNVRzkNn6gblkTnA50z16o5ctE1rVxE/T0Gahvl6PGjZMEXrUq+pprUfPnyt8FBehatVEnTwhPoP3VEBcn5khFRbKxjonB7H8rxrRp6Hvukedt3y763hvWyxtt0ABSU9FNmqK+/x5z2vsYT4yUrr3dLpvnrVuliMjPl46OJc9aXCyvY5rehSfA8znb7UIEt3TPMzPl9m7dZIFctvTiCYVhCNE7Kcl7EW022fCX6g79gmdhkRat2zx/60qVZMoSGIi222X0bCl9GIbIAh454k3uLlfJtVRbtpRAu3S1apCRKUXAxg3oJk1QP/8srtp166IWfC6cibNnMB8YgfHkE6KkNXYcxttTRau8+RWo/ALMSZOhqEimF4UFmDffjLHxe8ymTTB27kTffifs3CFeIXn5ULmSXLuYGMzPZsOJ46jtP6PemUpKWgEOTEDxDU1JIpwOHGQDdVlGUwrxqnD9k8JfWPx145+8JlwqerGV9hykMinYMYksGyIb7oAA6ZAHBkpecrulIMjMEj8Ih0OgTxUroG02VFY26vQpweJbBGnLhK50B9zKqyEh3tyYmioNHN9JyKXCMDxGdz651pcs7htKybpQ/BvH+52xuA70HQDKDde/AF/DLyxANfAEUBmZWPyuKF1wWBMcl+uX18Jmk+l0YCBkZct6Z523pShlrUWRkegaNYS/cuK4V9b3/3svoaHo+g3QvXpB23aQlioczEMHUPv3S9Mp00P09jWf1ZqcLAtqbceOm2wCATBRnCOScfT9vVflfy4u15rwt5Gbvf322zl//jyrVq2iqKiIe+65hyFDhjBnzpxffc6jjz7K0qVLWbBgAeHh4Tz44IPcfPPN/PDDDwBs376dsmXLMmvWLCpXrsymTZsYMmQINpuNBx988KJjHTp06KIPomzZsn/Mif6PRTYu3uOakr8X0AbQtOMQ/dmMAzeR5GDeNhhj5beouXOhYgXZPLrdGNddC0mJogz0+BMYCxagZn0qCSU0FMLCRL+6bCzmYyMxpr8Py5dJcipbVozVmjbDeH8a5tSpGHPnQEoKOiYatXSpPK5ePbmtTVvUmtWY70/HGDNaVEFsNnSLllKAOJ3ijWGzSefG0iAPCZFkGhUlZL+9eyWB1qotnfUC2UgbwzwD6YgIMeB7+SX52+PkDVw89i2tFFVaOrZMmYsLEEtn3OqkeYyNlEcZBLtdNMAt/XTPdEMdPSqF0549cpvlqLprF7p3bzG1UwYqPh5dsZIQpzt3Rq1Zg77yKtTq79BBQfLY5SvQNWtivPcu5iuvYrzzNsbz49B33gnpGeLZERwixVa7dpjf/4B6YTzGggXoOnUFhlauPBw/hjp1EnPWbNTrE1Fbt0p3zOHE6NxRulazZqOffZYVgZ3oxc/kY9CSowzhfr6hOZ3YR2f2sYKm/5Xvsj/84Y8/Jr6iJfU5Q00S5Qal0MGhkvLy8iSHFRZ6iwMLYmqzozIy0Hm5GMVuUeorLPD6RQQHo4OCwDC80qW+ZOWsLPkBkQS3IEphYQLRLCgQqKy7+GJBjUtBiX5tw6z1f6WokDcp/9g12Lh0UfEUUIF/oaiAXzasrOtjyena7ajQUO90Oz1dNvfW8zxrjo6JEchsUqI8NzFRVJ1+LSwX9arVIDoKOnWGffvEXTvhPGriRClcrGmSVbRYn5Xvv57GmwsTB27ycHKUWKZxDecoQ66/gL9s8beYWBw4cID69euzdetWWrRoAcCKFSvo3r07Z86coUKFCr94TkZGBjExMcyZM4e+faVCPXjwIPXq1WPz5s20adPmkq/1wAMPcODAAdasEdMya2KRlpZGRETEv/X+/d0pKzRtOMrN/MQuqpBMKKeIYTgraRydB6GhmK9NhFatUQPvEuMiw0DfdLMsLh6uBYWF6EaNBb9vt0OLFujrr0c9/7xsWIOCoGwsukMHGZOeO4c54wOM0aOhuEgIyMuWycJUty4kJslGedkyzPfeE5jOgQOSWOs3gH17odjtHVmHhEBuLjo0DJWdBaFh0r3RpiTbkBCPmomzRD5PX3e9cEG0Rnfugn7jTYxmTbzHy/ZgWe12gUKlpHgvm2XQV1jo3fSDXIM9u395ma2Cx1I3CQgQ/4hTp2Q8HxKCSknxcjFsNiG1FxULptbu6TcoBTVrYXbpgjHrsxI/Dx1bDpWXK/+uXInu2BG1aiX6llvA7kDt2ikTj2rVoV07Ifd99qkQK4cPR736KuTkoJ96Gv3Ag/I6u3ZhDB8qt986wMvb2L1L1MCuugrjyVHilhsSIqaI+/eje/Wi26cV0CjuZzXXsYsdVOVVepDnJ2/7JxZ/0finrQkKjb6EOdnjfEMk2RRhI41gGnCa8qQTHGC7GCJ0UcPFALtNNv6+BGTfiYRplrhdaxCoqgXRsbrpLpf8nl8g0w+Le1FK6rtEmcrplE2sJWP+b6g6/afxRR3oMwACCuCxV+Aln/s0MBqIQCYW/3HYbFJkWdfFLPV5OJ1yDQsLfxdXRIeFQUxZadBlZwkEypomWZ+hb6FSupnmC/G17rPbvcWFywV2B0mJORRhx41BHk5SCWEmHThK+f/GVflbh39i4RObN28mIiKipKgA6Nq1K4ZhsGXLFm666aZfPGf79u0UFRXRtWvXktvq1q1LXFzcbxYWGRkZREZG/uL2pk2bUlBQQMOGDRk3bhxXXnnlr77fgoICCnw2gJkW/OUfHGHkMpov2UMlnqdPiWJPFFnk4UQ//Sh68L3Coxg8SPTJ69UHC6Oflwe5eVC+nGiW79sLMWXRjz4Ky5ejnnqqZGpAVJQoE739NrpmTcy338V46inQJjowSCYVLhfUrgPnzqFvvBG1eBHmO++i3n9fHLyLi8WbITlJ3EQ9oavXkJGuy4XKzBBJ10Ihp+nq1cW1NTVV5Afj42VaccstGAsWlGB1FRrt6ZIBcm7WdMJSb/IN367MRXGJRG75aHgmK4BMLVAlqlUqK8vb8XM40E4nKjtbnLF37vRiloOCwF2Mcewo+qabUUu+hswslGGDyEjhU9zQHbVsmZjkff45esAAGX1nZKB270ZXqiT8kilTMZ56EvX005jTpmNMeAX16ivwzTfoufOgSRPMdRtQE16FeXOhchwUFaMyMzGrVcOYPBlz7POos2dRk95A7fgZYmLg0CEWM4+FtOZdujKdztzNBsaziBfpTQbB//F31x/+8Md/Fp3YRxf2lpQWJopsXJgoKpJKEPkEUkQBdnmMwwEOu3jpmG4vadc0ZXrgLpbpcenNve/G1DOVVRYcCrwQH9P0Tol9pVbtdm9jxXKdtrhpPmv6Ra/x/xCh/5tRkvFNaFXqvnFACP9hUWGtMxZ0zJp2l77v164JoD18FmXBhAsLxagwO9sLBbbiF2uaz22+kDW73VvcOZ3C+wsJBmcAOjJS1uHAQDAMfnz/J2yYLKUZh6hAKPmEkUtD4gkjl91UIfsf3nT6o+NvUVgkJCT8Anpkt9uJjIwkISHhV5/jdDp/MWWIjY391eds2rSJ+fPns3SpVxm6fPnyTJs2jRYtWlBQUMAHH3xAx44d2bJlC1dcccUlj/PKK6/w/PPP/wtn+L8fmQTyPDf/QgI0hVCeYgCry5bFqFtbRtkhoWJGN28uvPmmmB4VF4t7884dkmBatMQcNgxj5EiBStntUL68ELdvvQ3j1VfQ9w+FqlUwXnpBkmJ+AWrreiFdV6sO8afRt/RHzZ6F+dYU1OJFArkpKICKlUTx6LtVkrDy89ExZaWosAhtYeFganTVaqBNeW5YmGy6L1yAQk+nZ+A9YEH2KlREN2yEem60/O1wyvlZYRjyvNJhqZ34hi8MCrwFiEVcDAz0mvilpojpXUKC4ImrVkWdPAkOByovTxaCnTvFC2TzJnCbMkVJTkYPuA21bq1I+u7ZI1MYuxDx1Llzwov5+mv0zX1Qc+di3norRk4Ouk0b1BeLMQffi/HZp5iz5mAMH4YxaCDmM6NRJ46jVn6Latkc88OPoEMH9Ojn4KabUcPuRy1aINML67X37kHt24u5cDHq/WmoZUtRe/eSRDhXcYjebOdduvIhnfH0Kf/Nb6s//OGP/2asoSFraMg17KY+Z8nGSSEOTBRnKUMgBdTjHBHkEkk2QQX5kGderAJ0qfCFxYB382tBoXyJyOAtAH6NP2FtnH3laK3brdewihDfguUyhy5VWLwAOICn/9MD/1aBdIn7tGHI1Mgq+kxTDAh9zWMvFb6fm1XMBbhE8tflEuGP8HBUWBjaw50gP18mHcXF0jjLyRFBkeRklNtD2i8ooBPZKDQdOIACjhNDMbaSiVlX9pBBMG9x/X9wofzxW/GnFhZPPfUUEyZM+M3HHDhw4LK8l71799KrVy/Gjh1Lt27dSm6vU6cOderUKfm7Xbt2HDt2jEmTJvHZZ59d8lhPP/00jz32WMnfmZmZVK5c+Y9783+LUJf0FahKIs/xBcbwfIHPDLwHtMZ47VVPxyQHXbcuKiUFtX2bQJyGDYPTpzHuu1eKgPBwub1FCwgMxHhtAuaHM8V9e8ECSVQnT8LRo+gKFVCVKsGxY+i77kZ9NFOM9jZtQq38FvLzxPuiV0+MKVPQ0TFimmS3i/meZXCUnCyyh2436txZdJWqULGiuFK3ao06fkxM+2rWRD0wvIQcp69ohr7xRnEuBfFyOHnC26Wx2X45sQAhCtpsF/EuVGbmL0l3VjfJbve6lTqdcp3i4kR6Niwcdf68PN7plIRuuoVHcfiQFEdpaXLd0tJQ77yD+frrUuiVLSv4WsvkKCAAdfoU+uabUV8sRt/SH2P+fHSvm4STccedGNPfR983BOO50ZjT3kdNeAXj9degZUvMVydgjBuLcfsAMdOb8Bo0aIC5Zh1q0ptC3o6Owby6A8aiRZh3340xcQK6fgPMr5ZgPP4YAZsOkIOLo8QykA3cw3pepSd7qPJf+/b6wx/++M9jA/XYSRVCySeUfEJK/s1jD3GEkk87DkN48MWwJN+JrtVNt358YVD/aVhwm0ttsP8/0vFliCJL6M5NCbDnZfmTcX/C+1G/Nq3xnTZ4HM2tgoGQELQrQCSA83K9n6Ol5pWRAcUpqFMnpVApDYFCSc9Ie0qFUupfJmBiw41BAQ7yCMDAZBnNOEgFsnD5+RZ/cPyphcXIkSMZOHDgbz6mevXqlCtXjqRS3dni4mJSU1N/VZmpXLlyFBYWkp6eftHUIjEx8RfP2b9/P126dGHIkCGMHj36/33frVq14vvvv//V+wMCAggI8H9xfytCyeNxltCck2hAN22NHjQY45WXvGoPSqGvukq4Fg4HNG6C+exojKeeFIlYpcRMrUwZgVHNnQtpqZgrV6HGj5NEFRoKmzfD2TPo2nVQ0VFw6BD6/qGod9/BnDARdfw4avYs2YjHlEXfdbc4SUdESFHhMT/i7FkIDhYyWrlyMsWoUQOiY8QrIzRUzITOnxPcbm4Oev7nGC2ae2FQeXnodld6x/AhHqiOlRitIsC6zVpMbYaXcG0tcEVFws/wHS9b0ogOh7yGy+Xt2l24IFCx5CThWtSqJURzDxaZyEghsXfujFq/Xt6HU3gixtgxmKPHoDZvknN1OkWG16Owpo4dRd9yi8Ch+t8qClFdrhGFrcefwHjzTXSvXhgvPI95/1Bx+H5/GsbjIzFnz8V45mmZGG3cgPn5QlH/emIUumcvjOFDMWbMkOJl+3Z0SCi6RnWMZ57GfGIUz920nLJkchfrycZFImE8x2JmcxVf0fKP/ir74y8e77zzDhMnTiQhIYEmTZowdepUWrUqDSTxxoIFC3juuec4efIktWrVYsKECXTv3r3kfq01Y8eOZcaMGaSnp3PllVfy3nvvUatWrctxOn/rKMBBMuEkE/6L+65jJ3U4QCCFkJXv9Smw2dB2u/haZGV6eWEOh2xUFTKg9IVMwcVFgq+Jmu9G9W8WxZ7+k+FZAiYAucjE4k8Jw5Cpu0OgSiVzYo2X8O6ZNpSseboU28YXDlVCyLbJVNzitdjtXkiU0ynKiSEh6KgoiIwSFEJICLgCefexNWQQRA4ucnCSSwA5BJBLAOYv6O7++CPiT73KMTEx1K1b9zd/nE4nbdu2JT09ne3bt5c8d82aNZimSevWrS957ObNm+NwOFi9enXJbYcOHeL06dO0bdu25LZ9+/bRqVMn7r77bl566aVLHeoXsXPnTsqX9xOB/t0oSwavMZsrOEkmLiZxPYSEYDz7tMgIZmWhr2guik+bN4sHxYiH0bfdjjHwbjh0UEhllStDbDmB1Ux6Ex0ZifnFlxgPPSij2PIVxBH07BmB0pSLFSfthx5Bvfcu5kuvoHJzUG9NlsQXGSXKRq++IotWejoAZuvWopfudEqijIgQqFBkJOrECdSRI+i69SAzE92okUCZ7B7C9YoV3oWsUmV0dAysWysXQimvYoZVEAT/CifAWmR9w+2WCYIVvsZBVqFiydwqJe+vYUOBlcXEiMSspYLicEjhYbOhNm5Ed70GbRH3ioogKwvjwxniLjtosHSVDANSUuU1UKhDhwQ29eUXAjFbuxqtTYwlX2OOHi1cDFcg6quvwGbDnPY+BAdj9LgBc+gwdL9bIDcXo1MH1CzPNLBOHcyV36HvvAv15ReoHTvQ3bphzJmD7tsX9eOP3M0GThPNwwxkJY2JIYsXuJmvaYE//tkxf/58HnvsMcaOHcvPP/9MkyZNuPbaa3/RqLJi06ZNDBgwgMGDB7Njxw569+5N79692bt3b8ljXnvtNaZMmcK0adPYsmULwcHBXHvtteT/XgNLf/wiIskmDwch5JOBSzaOYWHSGDEMVGGRwGCsRovlO5Gb41F2ypScn5srG9i8PK8ZW2GhlyTs2/n2NdSzfi6F+f8LhduzYwtywxtAOlJU/OHv2pfnV9qwriBfYLPp6SIFnJYGmRleGVjwEr0Dg8TB3KPoSGioFAQhIXJ7QICH46Llc8vNlc83JUU8qc6ehePHYetWWLMGtWABatp7qFdfQT37DGrko4xiCc+zkDvYSAcOkEgE2QT6i4rLGH8LVSiA66+/nsTERKZNm1YiN9uiRYsSudmzZ8/SpUsXPv3005Ju1LBhw1i2bBkff/wxYWFhjBgxApDFAwT+1LlzZ6699lomTpxY8lo2m42YGHHvnTx5MtWqVaNBgwbk5+fzwQcfMHXqVFauXEmXLl1+13v/pymA/FoEUMStbKIL+wghj69owXrq8jLzKR8XLgnEFYi+ohlq848CNapSFfPVCagJr6A2bvQStGNj0TVqwtUdUC+/iB7+ILpTJ1EOcjowr2iO8dFMMbDr2EkWpx0/Yz79DMYrL2OOHQdlymAMHybThbBQdLsrpRufk1NCytOVKqHOnhWYVoUKQsiOjS0pXHT79qiPZpZ0S0pM+tLTMSe8hvHCeHlscTG6f3+4sQdMnYr6aYskUAvK5HbL3/XqiwqVVQxYUKboaFFtSku9CNere/WSjboVvlKzdrs83+Eo6dzpSpVQiUnC6wgIQDdqJMWbyyWFREiIaLlHR0tBkZQkGuxFhVLg9e0HF5LR7a6Uc4uMxOzTB3XwkBRJSglxffYsdK/eqK++FDhYhQqYvXpjTJ0inabrrhc42hOjMAYPgkMH0f36yYTi2WdkctKqFfrDj2TxATh6FOPB4eJxck03iCiD2rCOJ5eH05OfOUgF5tOWQAq5nR/4hKv/0SNvvyoUtG7dmpYtW/L2228DYJomlStXZsSIETz11FO/eHz//v3Jycnhm2++KbmtTZs2NG3alGnTpqG1pkKFCowcOZLHH38cEMGP2NhYPv74Y2699dbf9b78awJUIxGNwsTgNr6nOklEkoOBSZmoIE8RoH85aSi9ZSk9ofANS1q2BEJqjTdKPd4qWP7i26HpTWFob4hIhHvfk4nFX7sU+pXwJWhb/5aWkPUlbTucsh8IcAmMyoJVuVzgChCn9IAAtMPONx/vohgb5yiDRmHHjUaRRgjrqP+PduX2q0KVitmzZ/Pggw/SpUuXEoO8KVOmlNxfVFTEoUOHyPVRMZg0aVLJY30N8qxYuHAhycnJzJo1i1mzZpXcXqVKFU6ePAlAYWEhI0eO5OzZswQFBdG4cWO+++67S5rm+ePXI5JsxrKIPBzsozwzuIaaJPAsX2GnWJSUrr8etW0batMmqFABfWMPdPv2GIMGwvnzkmQqVhQfiDvuhF27UBNexfz0U1RSMsbY50CBbtxEOAw5OejuN8jo9cfNmONf8EB6noMaNTEG9PfAiYLFc+LECem8xMaKh4XdjkrzuKaGhIhca1wc5OWL1OvJE7JxbtsWtWmTGMpZ5HKA/rfCE497ZfEKCtDXXodx72DPRYmU1wkI8Jjr2dDBQaKnDhcvcoYhcKjSERJ68d+G4VV18sChdOXKqDNnoNiNSklBd+6EWrIEXaMGaofn/drtIsmYkCD+GImJ6D59UV9+IV2/sDC4cEHUsyZMxPj4I8xRT2K8PhFj3Xp0nz7oXbvkmuzZg757IOqTT8SN+9sVkJ2NWr0aPWgQatFi1Pz5mI88gjHyUcxZs2HbVtRbb2Fs3ow5dz7GIw+j9uxBtW2N+fEn0KIl1KyJuWwFato01MczISAAc+QTdF8+mqPEcp4IqpPEISpc5J3ij39mFBYWsn37dp5+2ktpNQyDrl27snnz5ks+Z/PmzRfx4wCuvfZavvzySwBOnDhBQkLCRWqD4eHhtG7dms2bN/9qYeFXCvTGUFZix6Qh8QRTQCCFhJCPoOc9OS+jFM/s14qJX7vt3ykQ/uJFBUCWpwa1uf9GRcVvTYF8C7pf47aUOoYqfbxS912PG/fF3yaKsXGUWNZR/987B3/8S/G3mQ1FRkYyZ84csrKyyMjIYObMmRe5bletWhWtNR07diy5zeVy8c4775CamkpOTg6LFy++iF8xbtw4tNa/+LGKCoBRo0Zx9OhR8vLySElJYe3atf6i4l8MA5N2HKIIG5/Rnhl05SGWM5xVaOAM0eKFsHYt2O2Ya9ZhfvElZGZi3H2XjEBDQiCuCkRGYY5/ETVnNmrbVsz1G1AbNsLixUKWrlET9cEM2VD3vkk0s3/cLNODsWMwn3waWrXGuG2AwJlcLqhUCbN+PdTuXZgNGsjraS1wrJwc7wQgIgIKCsF0o44dxbztjhJZVcqVQx06KI/LyEB37oIa8aAXvlSpMqq4WLrvng2GrlHj4mRqGAgxrdRIvkQ94xIO0ufOXfy3dTzDEDUNpcRcSmtR3CguRh07JtfFowqlO3eWgsqajBQWSqHxzTeYffsKPCs7W65DRgbGs09jPvMMxooV6FsHQPxpIb7XqIFu1BhshkCWBg9GLf0G3fUayMpGfb8RjhxFd+qEbtBASPa33YEx5D6oURO98Xv0DTdidOqAOfo59IDbwOXC6NcX9cJ473kNHy48jPBwjImvkUIIp4niBnaS4XFZ9Yc/Lly4gNvtJtbDA7Lit5QBExISfvPx1r//yjFBlALDw8NLfv7JYh4R5FKH87gxsGNioijGoAiDQmwU4vFPcAZ4p7oerkUJZMn6XRm/7HZfCub0F4c4/d6IygU0XJP8Nykq4NITJ98fXw8LXz6Mr+eI9eNpgl30Y303PD9uoMjzfSrGIIlQjhNDHg6eZwEvMa/kJ44Lf/bV+Z+Mv01h4Y+/bwRTACieZAA1SGQCc6lKMvk42EgdYsmUjv8dd2Lu3gs2G0a/fqhPPxGYUvnyUKs2uk5tmTo8MAxdoSLm6rWo0c/CmTOo/Dx0SChq/jyBHfXqLV4T69djvjUF4+mnMEc+Dtdei9HjBkBLZi5fXjwvPvgAXa0axr59oBRmz54CVwoMRFevLnjR0FAoKkK3aoOuWAnjvXcwr+kmk5Gr2nsI54aQuufNRy1bWlJY6I4d0B07i0oVeCFL4O3aoARy5Lti+C6IlsKG722nT3nJ177H8nhTYLcLDyIsXBAABQWQmoa+7roS8rlav95jkFck3InCQnSVKmC6MX76CaKi5TiFRSVu3sYjD2M+/jgkJKCbNJVpz+FDUqi0bCmvv20b+r77Ud+uQLdrJ7fNnycLfVQUuk9fjPHj0H37YrzwPCxaiH7xJczZczD63IR2OjHfeBNiYlCffILRuZO3kKpaFXPJUvQ991CPs5wlktHcQjL/TMiPP/7a8fTTT5ORkVHyEx8f/2e/pT8tptOFD+nEHuK4QCjnieQwFTlGOTIJIheXB38f4sHcOy7eQF6E9cebD39rw/o3mEb8nhi4B8znYc4Xf/Y7+R3hW+DZbJ7PUZQECQwUSGxoKDoiQqbkvj/h4RAeIeuSxQG8RBHxi4ITyCGQ9TTgB+ryI7U5TjkyCGY99XmWWy/6OU30n3qJ/lfDX1j44w+PLAI5QAVeYT4uijhDJLuJI4lQbmIbbpQQdF+biJo2DaP7dXD4sCSSuDh0ufLoXr2gYyeMewehhw5DvzUF47ZbS7rwpKVJ19wwBP4UEoJa+S3mtPcxHnsU8+GH4Zb+GF07U2JCV7GicC5GPAjBHqiTYaBr1sRYvkJePyJCHJ5r1pQJR2xZ1I+bxNVba4wN62VasXuXTLxMtxRCO3Z45fPsYvSkb7wR9fprclEMA3XihPxeQigElZ1T0pm/KHx11H1vTk6WJGyFVVhYBEeHA9zF6MqVobhIjpGTjUpIkGnG0aOCTe12rUxnwsLFn+LoUXnsyZPoG2/08DVMSfQJCQJtmv4+dOgATZtK0XXggJDWk5Ix27WDoCDUlh/Rw4aj1qxGN2osDuCT3oQ6deDkCfQTTwrxvkFD1MaNMpno2Alz3wGMdetQS5difvk1NGiAzkjH6NQBvvqy5Jroe+9jLH0JpIhcAnD/g/Gz/rg4oqOjsdlsJFoCCZ64lDKgFeXKlfvNx1v//ivHBFEKDAsLu+jnnxqphHKI8hymPMtoxjrq8xM1cFJMOHlEkCNCEikpkpMKCyRfW/nUkpgtDRX19USw1IMCBHtfIncaFCSbWpdLcqPVrPHHb4cFrQ0MRIeFiSldTIyIh0RFSSEYGOi93iXX1sdXxHSLUpTl1J2Tg8rORqVnQFq6kL4t8ndGhhDAs7LkO5CX5zXks8j41ncB5PWCgiAiggJsNOIUtTlPVZKx42YpzUgggkqk/JlX8R8TfxuOhT/+nhFIIQNZTxlymEEnhvIdW6nOjewghHxW0oj36crKcuUwbugO27bKAlKmDMREC5l7zBjUzA9RW7ZgfvIZhIZi3HkHOjYWYsqKk/ahgxAUJBv+qCjU119hfvwJxuBBmA88AIPuxWjVQhJcTo4ULI+OxBh0j6cDRsnYVRUWSgIMChIIUEQEqqAQ8nLRtWpCs2YYb0/F7NMXY8Hn4kq9caM4wSYnyyRl2P2yeBUUQIUKqPPnZDpg+bIEB0vydLnkfK0uXEa6zwSDi1U4lM/f1qKalwdVqwlXwwrDkNttNkn4+flCrLZ55PuKioTT0rmLbPhbt0EtXwYxZUW61umQQsTuQCWcR82bizl4MMann0FWJjo2FpWejtq1SyY1KSmYDz6E8eJ42Pwjum8/jI3rMdu1LeHM6AceRL37DrptO5ksPfuMTJIWL8J8/Q2MJ0ehmzaDOnVQd9+Ffn865opvYeECjKFDMN97XzwtFi3EGPkY+uuv0W+/A4GBvypf6Y9/djidTpo3b87q1avp3bs3IOTt1atX8+CDD17yOW3btmX16tU88sgjJbetWrWqREmwWrVqlCtXjtWrV9O0aVNA+BJbtmxh2LBhf+Tp/E/EQNYTSTYh5FGRNEyU50dgUIcoSxVSiYyJkIaH0+npVjuEY1bsRhUWovNF+UkVFHoMVD2b1n9lQmHlUp9iRHs2xCXeCb4+GdZPadO9f0JoXaIQqCzZ2NLhS7oODpaJRGSkrCuRkUK+zspGpad5C4XCQuEeekj1yjS9RUNBgTTztM/naRUSPuujNk1UQUGJb1NZ3LgxOEsZNFCGHMqRTiBFJBLGGaL+6Kv1jw9/YeGPPyzacph+bGEu7dhKDcLJIZUQGhGPG8Xj3M5RytOaIxgdO8D5c5KU4qpAbFkIDMR8/gWMIfcCYK7bAFt/wpjwihQRrVphzJgBJ45L16RFCyhXHvXlF5hz5mLcdSfmfffBgw9htG4lySozEyrHofv0hTGjBfbToCHqwH7hVfTpi5o3F0JDxZhv23aoXg3yC8RTY9NmgQmFhmEs+VokbX/eLsTrsHCR22vdWjr+nkVKX99dOvr5+SWOr7pmTdS+fZ6NfrFXl90SH7CmE1YCtTu8XAwrgXsWPN2uHWr3Lu+FV0ruczrleA4HpFyQ7lJqqrxeSirUqyfE9oMHpBN1TVfUnDnoslWgRk3U2jVStCScx9iwUSYxxUXiKh4UhA4OQU2dIgXc6xMx35yEMWwofLEIc9hwjE8/kUJi927U99+jRzyEmjoF3b49Orw9xogHMadNx5gyBfOd9zAeeRjOn8N85DGMPjdhTv8A+vbDbNgI456BmKNHo69qjzHyUfHTuKqdFJr+8MevxGOPPcbdd99NixYtaNWqFZMnTyYnJ4d77rkHgLvuuouKFSvyyiuvAPDwww/ToUMH3njjDW644QbmzZvHtm3bmD5dDC2VUjzyyCO8+OKL1KpVi2rVqvHcc89RoUKFkuLFH78e39KYQuzk4SQfB1FkU4+zhJNLDRJoz0FcFEnXurjYu8EvRexVvlwKm4eTEVJGJMPLxULZcuiIcFSACwwlvLmcHDFk8yj+4XajA1yyWd2zG7KyZNNcVPTfM9z7u0RpHsq/Cx+zijAPrFadPXsxQdu3YWa3y+cWEYGKiUHHxWHGVRHxlKBgoV7n5MialZoqBYn12XikhLXWssaiZCJS7ObEttM4cHOOCD6hA6eJodC/1b2s4b/a/viDQhNOLk9xK4U46MB+erONQuwcoCJj6YeByUi+oTVHIAHp3leoiI6OhquuQl91FcYt/dAtWqBnfoSa8hbs2QOFhTItePMN8ZeIi4OaNdGVKktRsXARxoBbMe8eCKOewriqneidp6ZCxYro5s3hp59QCQmY11yLsepb4VUMvAfjs0/lfcTECEegYUNURga4i8WvYuRjqDFj0APvQX38kShZrVsLGemo1FTMEQ/BVI9aWXGxGOkFB6Nv7AEffyS3KwVVqsDOnfJaCjEECgwSOdnSCdghEwR16uQvJxaWeZ9vuN2yUAQFyWjZ5ZICqmo1VFKS3G664dRpdIuWqJ+3ozt2Qn3xhRQ8Z86Il0j37qiN38trHT6EfvwJgTF5oGTq8GF0h6sx7h+CuWgxxogRmG+/gzF8GOqdtzGffQ7j9Yno9lejjx5BbdyAfvQx1LT3MD/9DCIjMYbcizl9BsaLL2BOfRvjqScxnh+H+dpEjHsHYz4/Htq0wVz8hTiYN26MuWQparjHfb3PTTSkPXuJ+6O/0P74G0b//v1JTk5mzJgxJCQk0LRpU1asWFFCvj59+jSGD8SwXbt2zJkzh9GjR/PMM89Qq1YtvvzySxo2bFjymFGjRpGTk8OQIUNIT0/nqquuYsWKFbhcrst+fn+3OE+Zi/52UUgjTlOfM2QSxGHKU4lUgprWQ1coL02guDjZbIaGSZGQmysQ0MRESEhAJSVeJMFNqPAzlM0m04y0NIg/DfHxkg9zcmSDWtqozYpLyc76To595Wv/V4oPXzUmy6jV4fBOgHwfV1x8afWmS6py+fAsfNcsa30rKICERDh/HrVrlxSSvs+33Ls9MCyiotFV4qBRY3SDhlC1iigj2mwla/yX/T72OLvn0ZOfCSUPJ8WcIprpeNXc/PHHxd/Gx+LvHP9kzfIyZPMgK4knkrlcSQXSOIGYuj3KUjqxF4UipHpFcdB0OMRMbdcu1LT30I88ih5yv2wkI8qg9uwSCdO3JgtxuEFDVGQZUYP6ZgnmF19h9OuDvnUA+vnxqGu6oE6dhgvJsjhVr4HZoSPG2OfQbdqIq7dS6Lr1UKdPyTg1OBhtd6BMt+BIMzIxe/fGWLUSXbMW6ugRr4t1VBQUFKK1idq/HzM3H6N8LFprIU9ffbUoXX39DapxQzGlCwpC9+wpTuFBQTIOdrmgVi3Yt08St9MpXRm7XR5/5VUyWTh3zjuS9xQg5hOjMF6f6F3wQBKtyyXHKFdOeBExMbKoGob8GxmJ7tFTVLRiyoLpRt/QAzXrU6haVZS4jh3DbNkSY+9esDswhwzBeOdtgXFZE5AmTeUcJ03GGDcGfcONqJde9HiQvIoxdiz6yishMRF18oRAsN6fhjnjA9TXX6NmTMd8512MuXMwn3oGNXkS6sRxzNdex5j5AbpHT5EX1hr1zjuw+Qf0O++hZs9GzZ3Dzi3neJMbiPcT8S4Kv4/FXzf+yWuCb4STQyTZRJb8K7/3u7UqKjPTm88CAtCx5TwFRijaZoOiYjHNO3kSDhxAnTsrmPy8PC9cybdJAxc3Znw3sYYhfj2+cFPwQm8sWNR/sl2y2bzH+zuF3S5ridPpvS5WIefrw1RQ4IWO/d7j+hLxrSmJVehbKlBWWDA06/VKF3Yejk1avsEeKnOKaI4Tyy7iSKOULPs/NPw+Fv74n4gQ8plLO44ixEarqGjKcdpzEI3BOSKoU7s2uN2Yb01FPfUkat8+zE9nQa1aAou5ojnG7t3oqzug3ngdLlwQ3wi3G12tOmrZUsxvlmHc1EuM1l58CdW7pxCy09KgbCyUjcV86CGM3r0gNha1fXtJclPhYQIbCg2V19qwHurWQxcWoCpWwPj6K8zJUzDuuA19/1DUjOmyKV+7RoqMvHyRp01IkBGw0wlOJ7rbdXBgv+B2jx+XRBgXhzp82JtMQaBOlSrB3r3yGEum1kq8AQFe9QtrkfPcr44fE0xrVpb3whuGFwZlmh44VIrAzM7Ey/1FRUI6r1ULdeoU+rrrUAvmo2+/A7VoIYSEYN4/FOPtqSJDm5mJsXo1VK2KPnUKlZyMrlhRXj8yEvXpJ5j3DBK/ir79UEu+xnj2GfG9eG40ulkzKeDWrUUPewDjvnvFfTsqCmP4MMw33sR4axLm4MGwahXGEyPRo56EvXtRzzyNfuFF9IMPQvPmGP36Yr45Cd2uHfZWvRnFEpbSjBU04W8kxOgPf/yjYzDryCSQVEJIJZijxKLQ9O3bT+CbR47I//8DB8TIM1vI3MraYPqKVfhKzlqmoL7FgFU82C0VIZsXv+9bZBQVSbPHt2v+7xQUSnmluuHvWVSAbOatcwBZi4KDpdCw29FKCTeisEiup8Mh91lkawsCXHr64Ttl8g2LhK+1cCwUXiicVXhYPwEeQr7NJhwbrdFn02nGKZpwmjwcbKMGb3DjH3qJ/HFx+AsLf/yhcakucgf204n9vEdXbuYn0glB12+AHjwY49b+4py9Zi2kpGDcNgDdvDkqIUE2se+9Kz4RN/dBnT+Prl5N1J9WrMTocQO6d2/0KxNQg+5B7dolCTEqCqIiZePaob0n8QWUKCeZzzyD8eqrEB6OrhyHsX6dKB1lZqIyMtDtrhTM58svops0QX3yMVSsJNwKux3CwgRWtXAR6rFH5PhKyYRAm+gePWTT70mkumkzKUgCAyXheojZulx5r/nPRRwLJY+1xsKl8a/7DwhJ2yostPYsmkWSeJOTJdEXFqKrVZXJTHiEkNG1Ri/+EtWoAWrrVlkw7HZZBIOCMD6fj65UWXCw2dmwZzd67POo8eOkWDp3TvgZoWGoZUvR7dtLVzEmBl2vPurUSfEPGfc8xovj0bVqibng+rXoB0dgDL0f85130RNfx3h8JOZzY1ALF0KnTkJ2nzgRffPNUK06xu0DhHfRtq1I0t5/H7pvP0ZxG4+wnK7spRknmML15OCHpfjDH3/1eJMbAIgkkw4cpCdbqc95jFsX/LJwsDaT1sbVUr4r9JjpWWp6FnTGt+NdwpsAHB6idmEhKievBBYFXAxBLQ3LscJ6Pza7KO353m+zSd631Ix8N+R/hfg9RZLVvPq1x1kFg3XIICFqExQo647dhi5fAerXh4J8VHw8ZGaibXZZQ9LTSjgSFBZerPJlFRCFhd7P1fe9+3JqLPUp6xieiUYg8jwTRQCKBsQzloVsojZJhJNIGBcI+0c7cP/R4S8s/HHZYys1MFH0ZhsFOFhKM1p16IjRowe6TRv09Bnw3SqM995FV60ixOdjR1EbNojx3eDBqP0HhHewdi3mt6swbrge3b07+vU3UaOeQK3+ThaM0DCIjsGcOBHjum7S0ejWTcz4iosxH3sMY+JEWahq1YZTJ+X1cnOF3HdNN4FYfToLo3dP9JD7Ye9edJ+bUau+g5QL6MAgVJkyov60dCk6IkJIgNWqo37cjB42HN6e4l2QqlQRDkNgoHTePKGjo72FxUUTC2QUbd1eqtOjzp+DOnXh7FnvwuEult9DgiFHlK1ISkLt2y/ytJ7ErU6eRAcFocuWRaWno3v2Qs2dg/nIoxhvTRb+Rq9eqLenottdiTp0EDV5EubY5zFeelEkAQ0DtXs3ukcPjGefFT7Eyy8KWfuZp9G5uai3JmOOfFw+0zKRUlytX4d+5FGMBx/AfGsK5oczMQYPkqnEnj0QEyO+JePGoBs2whz+oEwqFiyEsmUxFy5GjRvLENbwOjfQhf1kEcALLGAGnTlAxT/4m+wPf/jjP43r2EkX9qKAfALIw0FAlAemobV4GeV5TD6LiwEFAU7JhUHB0nRxSrGhXS4oE4nat1c2rkFBUKYMutgNKSmolAuSD7WWXGu3y6bYUigqDeOxmjlae6bbNijI93TfPRtfu10EPYrdwoP7DaPEPz18pzcWdNZ3cl4armW3y/2/gDiJihMg3IbcHO9doaGi1nX+nFwvhx1iy0GjRpghIajcXIETp6ejlSFrW3KScBmzs+Wz8CXQ+xYeVgFRWPjLCb0HfeBGsZvKnCCW7VQjmAJiyKIIG3U5R3sOEkMmdtyspDHr/W7c//XwFxb+uKzhoJhBrMONwVMMIIIcevAzxiMPoR99DD10GGryZNi5AxxOaHcVatECOHQI8vMxHx2JsWWzSJ5u3oS5Zh3q8cfQN96IfmMS6rUJqDmzvQtCxQqYjzyKGjoUcnIwhw3D+OAD8ato3BRj7lwpINpfjS5bFmPbVmjZUnS1i4rg3Fkxcrv/PvS116E+/ggqVRK3bUO6VuroESEjr1vnleOz24VHsWE9BAejZshr4nHDJi8PFepZPK0OUVGRtwNTemLhcnkXN2vKYXV48vLQV16J+nHzxQuF3S4qWHY7OjRUFKsuJEOTJrB7txRQWqNeeB796SzUdd1QmzfJwpCU5OnIuVGzPkP37C3nUlwEWVkY3y4Xb4kTx1GJiejadVDLl6HbX41x1x0CS7v7Tsz338cYMABdpgzqyy8xb78D9eWXcOokZvPmGOvWoh8bKYZ7b7wpJPC+wpGhfHnU2jWiHDV8GOrF8ZjvvS/TGRA1kBde5KdXj/MSn/M6N5JEOLuoysMsZzdxLKH55f6K+8Mf/vgXYgVNWUFTOrCfPvxEAMXC4QoMRDscAlONLSs50DRLJqTERINpyobUsKFDgqWIOH4cHA5UaqocJz5eZMSt/BsZKQVKerq3c26FNRGxNt2BgfJ7bu5FXXqcTnTNWuJhtOkH1LFjl/26/dthrQ+l4baGIZt2y3TOkn21HmOtQRaB2xpo+E44lJINv7XpNwxZZ9xuVGICSoM25LrqmrWgUSN0SDAqPQO9dw8qLQ1tmtL8crtR588LlDk7Rwq6Qm8xh9YXFyGe+4KBNhyjNce4mZ8owkEKIeyjEnNpRyIRuP0Wbn9o+AsLf1y2qEAqj7CcL2jJZmoDEEw+V3MA85OvoHlz1LChEB2NSjiPOXQYxttvi1JSairms6MxNm5Ah4ejfv5Ziopnnkb3uwX69kN99KGQuj0yq7pWbejZE7V0KerwIXF4/uAD6d5n50CTRjB7N7phQ4iNxZg3F5pdIV2TzAzhF0x7D3P4g1JQxMVJEdK/P2rFt5CdjY6LQ509A/1vRTVuJN0vu12I0cHBcE03ANSZeEnIZcuKkpVpylQBSpKkOn/ul4Q1m00KGJdLCOElhk6ejpGV5GvXvrgLZSX5nBwxqjufULKg6LJlpVvncIiM37cr0VPfERhUair6lv6oObMxJ76O8eQoqF4dlIbcHMwbe2CsWQPbtqEnTESNehwCAlBHDsu12LVT+CsjHpCC4P4hAlvq2wcdECAyvFdfDbt3Y+zeg3lFc9SG9eiRj2OMfAzztYmYK1dhXHctuktXuOkm1NtT5Bj3DMS443bMz2ZBzZoll2gztTlJDKNYwnzaspUavERvIvHpovnDH/74i4YmkmyyCcCBm3iiqF23nEwbYsqKSqA2IT0DlZMjHfBq1SUn7tkDR4+iEhJQlh9QQIAUEUFB4qUQ4IKsTK/hXlqa96Xtdpkce6YVOigI5XJJIZGbK4WJFYGBUKs2ukVz1LcrRUxj/75/75T/Xd7GfyOsBpWH81AyObeKDZtNNuuW75HTKYWCVYA5nbLOWZMEC0pmFSe+MCql5Bpa19EwUBER6CpVUCeOw4H98llpLVDkZlegGzeWNevsOfSunaiE84I0iIwCVwDk5Mp6eiFFig3LEwMgwMWFpBzcGARQTCF29lGJw5SnEAc3s5VypGND40axkNbspOpl/wj+18NfWPjjskQH9tOdnSVdZSviieZR7mJh7doY/fpgduyEsXw55ogRGG++KWPl5CTM0c9hfL8R7XCiDh7EXLce9dSTcP310LcffPUlavRoWUxSU0VhqWEDdHQ0xqzPxHht1SqRpD11EvN96YITGoYKDUOvl8kC+Xkyvq1cGWP2LMyx42RacfdA1McfQ+XK4jBtukX28Kct6FtuFRO6w4eEJ5GTLRyMH35Aj39BOA7WeLlmLdQxj6u1NZmw2aV4iI9HW5210lyLoCAhyFlKGoYCbCXjYh0cjLKmHeCdWBQWSfcnKUm4JoWFqB07BQecnuEhOZqoTz8Wo7phQ0U+NzxcOBceKVu1bh3mmLEYY8ZArZoCK3jlJXnOE49DQYFollvTkX374MsvROFr0huY06dj3Hcv2u2GPn1E9jcyEuOnLZjt2okU7agnMZ4chfnyK5gbf8DoeDU6NRX95JMYT43CnDcfY8i9GLfegjl5Clx1Vcn36DxleIb+PMS31OMsn9GeVEL+2C+1P/zhj38rurKHZpwsKf7TCCILF7uJI4gCalesKDk2PFw289qN2rIFfeigFBFWZz0wUPJlaJhsOkNCIdCFjo9HpaVJnvJ9YadTGlN5eVBQCAFOVHSMvFZWlihRZWR4829IiLz+ddfC9z+gftoinkH/bmFgs/Efq0v9N8KaRERGiT+EBl02RjgQliqh3S6bdlPLtCI42FtwWWtXsAeK5mOgVzJRtzgx4CVdKwVpaTJNsh4THi7TC5cLtXmzrAU2mzS/ypUTNEGzK2Tyf+SwyLRnZ8nzYsrKd8Q04UIy6swZcpIOkU4QBhrQlCGXqiSzgXp8QcuSS2DDxMbflFD/Fw9/YeGPPzScFDOMVeTj4Bn64y5FmHJjI5Q8jFv7Szd87WrM++/HmDFdOAcHD6BHPycb+MIi1NkzMql46kno2hXd/1ZYtw7jgeEyck1IhBo1ILYc+t77MNq1haBg2XgHBEhRMXYsxmOPgjKE01GpEsamH9CdO4uHQ0qKTCvmzpHFp6DAg/E00QNug2XL0EpBg4aoVSvR772HmvaedMqys2Tx6t1boEEVK8KTo0pI17plS9ScOUI8Kxkzy2hYnT8vfysFypOQDQNQXrK5r0SfNbpWSpSpgoMvJry53WAz0E4nyjCEk5KTK7yQDh1Q69fLBCUjAzV1KnrXHnhoBKSkoO+8C/XBDMzPF2IMGoiuVl1cxiuUFyL36dOyEH+zBN2mLRw+JLeVLSv+H7ffjpoxA92iJVzdAfXjj+inn0G9NgGdn48eORK1fDm6S1eMFcsxO3YSE71RT2I8+wz6+fGYW7djtG0NzzwtBnr334c5bTpq7BiMRx8W6Nxtt5ecbiEOXudGrmE3QRT4Cdz+8MdfNI5RluokEUghgRQSTAEXCOU4ZQkhjxsCAmDbVlTSWoHEOBxoy68gOgaQDjeNGmPGlEV9twp1+JA81veFgoLQMWVRuTlSMNjtshGOqyIbU22KBHhSkpcYHBkFcXHoPn3g9CnU55+jXnvNQw73rF+/VRj8mqxsaOjFvIA/OhyOEkPWX43UFHRkJCo7W7xBnE4v+Tw/X9adQJf8nZ0t1ygyElyBkJggt3tgxzoyUq59nToii56c7CWvWxCz4mJvsWFBztLSUD9t8U5LIiKgVi105ThUygXUkq+lKVhUiAoIQFepKhLkrVqJOMme3aidO1HxpyE0lIOUJ4VQirERSCEVSCeWDHqynRokcpyyHKE8yYT5IVF/UPgLC3/8oTGYtWyhJj9S61cfE0SBbHT37RWPii++QJeNFVnSkY8LkffCBVRaGuba9agnR0GHDrKp3LED487bJdmdPi3+C2GhmFOmYtSr4zG+G4gx80Pp7DdvgfHV18JL6NAR4uIwPvwA3ayZJNbiYnTPXgKB+nwhxvXXYj75FMaEV2VaceyYjNxTLqATEqBmLSkKJk9C16mDOnNWYFAVK0HbdgCouXMkmTqd6MhIyEgXJSlrPOx0Cm8gJcWrbGIBWC3ioEdpSgcGojIz0YYhnToApVA//wxlysiY3xote2RmVVKSYIwTE73FSFCQdKGKi6VwSkuD7dvRDz2MevMN1MqVMrWYN1fOu7AAkpLQ418QadgBt6HWr0Nt2iQyvCMekHNISEA3b4GaPx/doyfGg8Mxl3+LeuVldIMGcMONqFWrUC+/hPnmJNRbb2H2vxVjzmx0167w44/oJ59GjR0Dz43B3LELo1UL1N13Yi76AmPIfZhT34Y5s4WLc/So51p5txOraPzf/RL7wx/++K/GCWJZTzG5OKlCCrVIoDpJNOE0lUiBn8pIXixfQXhdQUEietGhI2ZQEGrbNtTSb1D793tN1UCgT1WrykTC8vwpyJdmk8MpsKqMDIEwHTwgWUNrkdOuWBF9y61ouw3jgxmocWNlY+7bdbfgq5eKiAg5dumiwu6A4KCLYVWXI4qK0FFRqJSU33xYyfSgZi04cVyuW1SUXPPiYsjKFthZaKgcKy9PGlihYQKrTUqU5lRycgn8VlesiJ49F/XjZtSSr+WYaWleKXVLOdEyc7XZRVVKaznWtu3w009yX1gYul49qN8AnZaGOnECffIE6ssv5HMOCUE3aIh5513QqjUzqrxJTRKoRQJxpGDHTTrBnCKaNIKJJptQTvAtTS7TB/HPC39h4Y8/NN7jmt+834ZJN/aCrbpsYPfvh+xs8Ve4ZxDEx4v/Q34e5uq1Mqlo2xZ9511w5AjGTb2FyH3sGFSpKt4LMz/GaNUSioowJ7yG8ewzkiizs6FXTxg/HsqVFw+Mld8KzMhtog2bYE0LC9CNGsPiheAMkGMrJSZtS75Gh3mcXb//HvPn5UIOTEkRKFJxkRD6ftqCvqU/gGzstUaXL48qKEBlZ6MrVxZitTUirlhRki9cPGa3ul9Oz3/VwCDPQ3z6cjYb7NolXbjjxy82gQLpPFlwqJAQwbn+9JN4e5w/h46IkMJj3BiRnp08CVIuYA6+F2PqFMyV32H07IGuWxfjpZfQvXphrPy2pOgxnh8r7tmDB8l7275Nuk0b1kOVKhh33Ia5ZCnGbbeKk/bx46jEBCFsf/iRwJyG3I/x3nvoa66BXTvRzzyLevEF8TbZtQejZXOMG67HXL0W46EHMZ9/AapXR733Hs9QwER6UORPZ/7wx98i7mM1NUgiFyf5OAigCCfFZOFiG9XpVikYfVV7zGbNID0dtWI5ats2WLdOGjsWpj80FN2oERQXow4cEEjquXPo6tWhRg2UMqBCBRGZ2LNHuBQgz4+KgthYdJ++Ij7xyUeoF8cLj0NrmWxY3IPfMH3TkZGo3Fwhg5eOyMhfcjX+W/E74FgqJUXOIy/vt4+lNRw5jG7UBHXyuJyL1mJAeyZe1sjkZCFdx8QI7LWwAJXo4e5VqyZE+1OnBCJ89Biqfz+oXh3ziSehSRPUF4tRy5Z6pxnFxV4jV4dTCkCrkHM6ICRC1q7sbPnsf/xRXis8HOrVR9erL691+hRq21Y4dBA++ICnOEw2Lg5Rni9pwWHKY8OkBokYaD+n4jKEfyX2x58aQ1jNfirSOz5e5Fm3rUS7TfSNPUQ5afs2mTp8t0YmFS1aoAfeA2fPYnS/zlNUHPVMKsIw35iEuutOSE3BfPQxjLFj0PXqieHe10sw+vYBhwPdqCG6Tl2MjRvRvXuhjhxBpaSKp8W4sZibt2A0qCeO0A8/JMTts2cF23vyhEwkgoOhYUPUwLshogxkZMpU4oYbUStXoF9+BU6dKulgqYqV0Hv3yiLoO7DXWhy9N23yTih8ZQHdbkm8hiFdHbdnquEjO6vOnUVfc43wI6xixe2WpF1YKJCn48dlAd23V+BOV7WXpOxyQWKiyOhmZaF79UZ9/RXG0m8E9jR1CjRtIqpSNgOaNoNlyzAH3YsxZxacOSNTpm7Xwu5dqGPHRNaxqEgmLAmJqGeexvxgJsaAWzFnzkT1uRlt2ATe9OksjPsGi8Tt5EmYL78iylxKoV55WYqLnbsxWrfEaH8l5g+bMZ4YiTnkfvTLL1PluoG8zDxe4GYyCbps311/+MMfvz+CKKAZJ6nLWaqShAZSCOUAFThEBc4SQSXSaMkxrgkoQH3yMWrKWxeRg3WZMtC6DTjsqC0/QXoaatcudJUq6K7XoLKyZCocGSlY/IMHUBohf4PAqKKjBErTsRPq2xWod96WTXNRkeTvqCgpLix/hNJhbejDw6Uhc6mJgMMBleNEvty3KPEtBixo62/BlVwuyM8vNZP1hJXjfyv+v+OXCrVnl7ict2mL2vqTrBVOJ7ppU7m2ZctK8y0yUgqMY8fkOqWnCwcwOhpdvTrq0CHhOh4+jDF8qKgwtrsSc8rbojq4eJFMxc+fg/PnhVzvId6LUAnCkbEI5cHBIi2cmQE5Oajt20TB0KM6pRs0hEaNwNTkfXuSMPJowBkqkUIffsJFEYmEc4CKpJHMaaLRfiPVPyz8hYU//tT4lPaMYgm6TU+MN98UTkKNGhAWjvpyMQQFYS5dLpOKJk3QgwaLcd41XSEqGnXypEw6oqMxRzyEWvC5eEe0a4cxf54oFe3bJ+7PgwcJz6FnT6haDePNN9BNGsvmP8AFVatgzJ6NvuNOUTuKjhZSoM2Gvutu1JdfoKOiUYWFqJ+2YL46QdSclnwtnR6PA7Vu1gyOy5RDvfpKieGcbtBAiiBLrQlK3LR1nbpStFg4XyuUj5MsCObVgklZC5bWcrwGDbwGepakoGf0rN1ulNOJKiyQsbOZJ4TFMmWkm2W3g9MpkK73p6O+/AKSL2AOHYox8TXMH3/C6Hi1kODfnor56gSMUU+gO3aCkydQ69dhvv0Oxvp1YmSYkCBGeJs2oYcPRy1fDu2uxHxzkvhWLPoC49pu6GbNMIbdL0XHXXdgjholbt2z58hUyjBQL78kniM/78S4si1G65aYm35EvfQidOnCq/RkFEu4ia18QofL9dX1hz/88S9EKHlEks166vExHS7i2yk0Q/iOqzhMLOmo9Z7mSZky6E6dRYRj3VrpiK9bi46NRV91pch9p6VCw0aCwd94DLX1pxJD0BKj0ogIdLdu6F694fAhjLfeQr3xukwTtJY8CNL0uXDh0ht2S3UvKAjKlYOTJy/9uIgyUCZCYEW+hYT1fCsCAi6Wur1UeO6/5Bb49xDAi8XPSNeuIxyUXwtfzl5BAWrjBsxb+otZbGam8PHKl4eKlWDHDsxu3TC2b5fPJ66KFCAFBbKGHDgga06LllBUiDp8WJqEGzegunWVwuHmPpjzPxfY0xeLUatWiRT6mTNSpBg2mVq4XHKdsrNlwq+UfLaRkbLWpYnZntrxM3gKjUYoThLFAapwnHJsoRagKUsm9ThLd3ayjvp+n6M/MPyFhT/+tAghjzEs5kuac/WLL6CvvEoSR506qEUL0eER6K+XoJ5+CurWQ983RDwUunYWSM+5s+jYsgIj6nYdmBr15hsy4o6MhP37USkp6DZtpLuRlibHTktD79wl3IjAQMjJheTzmC++iPHsaPTceRi1amCuWYcxaCBUqiTdFw3q6FF0u3ao/fvhoYfhu+9kMTp1QngIUVGoHTvQN94oJ/nlF5IA7XZo2hT9ww8oux2KCr0dq+JiwQ9bC4/T6aMRLrAm7XCgUCinwwsD0D4FhtboatVRQUFCqLMI3m63JHuPYhNHjpSodahNmwQOdewoVKgAycmo+fPQz48Xt/PduzG+WSJTi/HPi/zrUXms+ukndGysnHtiIthsYo43ey7GzTd5TPN2oa++GjV9uqhqvfwies48zHsGoV6bgDn/c4ybe6O7XSsTjZkfYwwfivn661JkzPscffsdUqC95CkutmxFdeooxcX6jahPPqYtRxhNP55iCY04zR7iLv+X2R/+8MdvRiIRJb4yBiZtOExX9tKAMwRSiAM3KYSwnEb0eKEfauVK1M4dQt4NC0M3bwFduqJOnEC5AtCt2gjEaft2UbALCZFCwfC4X4eEiKJQv1vE7+KtyRg9ewjHrahINrhxVaSQUEqgouBVhLKiBI7qRDdshNq/Dy7lW+FwCBw1OxtOnLiYxG3xNKxwOn+jqPBIiVvF0a/F71WWsttRhw9JofD5/F8/ltstm3iPdKvx+XyBkfW+SXgSFy6gkpKkaXfsGGRnYd7UR2CxEREy5di+DTIy0BFlUCdPyHErV0bXrYfa8qPwCLOyUPPmit9U2bKYQ4ehlwmkWH2xGPXdd8KlOBMv667VWAsNE8UvrWXCZDXQQsMgOkred2oq9rxcKpDBHWzCjcFxYkgkgon0YD31/YZ4lyH8lHh//GmRRwBzaMujrED3vgkK8tFXXYVa8jXmxDfQy1egRj8L1Wughw2DggKM668VRaZUD3a0YkWoWQt9/fUY/fuB3Y759NMyZg0IENjTQ48ItjMkBCpUwGzVBnX8GLpnL5Fjzc1B97sF44UXMF95GTXoHnS7K2WDnpoqm+IN69FRkWAo1FdforteI5vnMc+hq1WDvHwZIV93HWr9WujYSaYZaWlCCI+JEV+L1BTpjlnqGJ5pBoEeBSO3ZVxkjcs9/0XtdllvLGK2b2Fh6Ynb7dJNsx5vGHgU9yTphofLdKJ2Hbl2qano1q09jrZuWejcbvj6K/ScebKoJSRgPvQwatlS9MuvoE6dRNntqJXfomd8KJOKhx+R450+hVrwObp/f3TVanL+mzaJBO+Sr6FiJSnUOncRr4tNP2BOeRv17QoICUFNfx9z0RfQuAnm+Bcx7rhNiIC33S7KYO+8g5o2Db1+A7pNW4yrrxLlFmAAmxlDXyL83hX+8MdfMDT1OEt/NvE8C3idWQxiHYmE8wS3cR/38R0NcODmOvZhTHwNCgoE7njHnWLqWbMm+qr26B49YM8e1GuvolasEP6CwyET5jp10bffjjltOuaCRRAWhnHn7RjXdUMtXgTpaeiYGJlyO50CrclI96pCgTevWq7ThiGT2eBg1M/bpXjxDc9khZYtITkJkhK9ed33ONa0whnw6/AkH+EOXaXq/3NJf2dhUVSEDo/AWLhAzuO3oqDAa+IKcO4cav48zCefEjit0ykNqcOH0DfdjLFqpbyVW25BHdgvROuevVA2QyYMNhtkZKJ++F4KM0vNyWaT9SU5GWPCqxjlymLccze6USPM5SvQ8z9Hj3wCOndBt2yFLltWJGYTEwWSGxgoxWOlykKoP+4hnRcXk0EQO6nCEO6lPyMYxe28SzeKSylS+uOPC//Ewh9/WtTiHM/xJfNpw7CjRzBvuQXjo48xJ74OjRrJpKJSZfSDD0pnvOeNkJklcJ7CQnSt2qiQEMzxL2BUqgBaY342G+OuO9BNmqB27MDc9CNGF0mmundvqFod44XnoX59kbINCUWlpkBUtOA4mzVHjRyJeeYcRsP6EFtOMK52Byo+XnC8709Df/qZEMf270O3aoXOzERFRaM7dxbX8IAA2Lu3ZJqgypWDhARxGK1dSwjpVmFRVCQLnPW7YXgXHsMjPet0yuRCe5Chvj4XVlGxd4+cR1KSd7RdXAQBnueWr4BKTUVHRQrR3CIclisvC25EGbDbMV6bgLl5i6irJCVhrFgOkZGoJ0eJEtf69VC/Aca4MejuN2C8/z5ERaHDI1CrVmJO/wBj+TLpUh07Cm3bwheLZeriNlGDB6HnzUcNvAvuqyeF3ztT0Vd3QH00E33vfdCyJeaoJzHuvB1zzjz0gAFSyL34ghRqy5bDbQMwrruOY/QklRAeYxmv0ePyf5H94Q9//L9xBSfYT0W+pCUFeE1Ar2UXjTlNEmFM5AbqkMCQzmECDS1fAX3tdbBrF2rtaog/LXKwubmS82KioVIldP360tBo0RKWL8N49mk4fFiaQ4WFEByMbtwYdfo0ytTo9BRUZqbkUiuHWh1wn6JAd+woE5LvN17EaQO8ztwxMZJbt2/3NoysxzocXoU+kMfbbDLdvlRYUFYQ41XwTrUvFb/TT0NlpIPNJpP26GiRJy8d1nXIz5f1xjJfNU2M50ajW7eBPn1RMz8UdMCHH0ij7q67RR4+Lk5U/z7+SHgP116HWrvGK4WutSAH7HZ08+ZQpQpqzRpZr9xuOHgQY+DdAhvueo1Mzh99VDh8ixfDdyvRhUWQlCjrZ6ZwGnG55DMIDobCIiKy4mnNMVpwnEQiOEYsW6nODqqR7Zcgvyzhn1j440+JlhzlZeYzg0604CTmnXdizPwI860pUlSMflYUOx5+WBLSbbei4uOlO5GWBnFVUDYb5ocfoZo2gbw8cYq+bzC6VWtx5p40GWPgXVKEtLtSIDvz58oIvFIlOe6J45jjnke9M1WgOHfegfncGFi1Uka6d90l/IDQUOExrP5OYEORkeJd4XCgDhxA5ecLKe3QIbj2OgDhV3gKAipUgB0/i5JGKZgSTidq9x5JkNZ9utTEwuGQRpbbctb2XEin0/M4JUpPnvMqWcisrpnDIdfNbkft3CWLrc0mC2a5WMGpRpYRBavz5+HwYfTsueJgXq065qgnUSuWo0c+jjp/TlRQTp6UIiAjHfPmm0VHPCUFY9TjmAsXC//F4UCtXIn52EjU2jWYPXqgjh9DTZqEnjYd4+WX0D17ojt3kUVn1SpYvkzec/urMe8fiho0ULpu/fujnxsj6i1vvI6eOw995x2MZxHFwCoaMY6FBPP/4Jb94Q9/XOZQzOYqdlDtoqLCjptEwsnGRUPO0JGDnCYK85HH0E2aolYsQ300E44dEaM205RmSZ066Ou7i9/NylXowfeiPvkEo2kTjKH3w5YtkJmJrlQZ3bgJoGRam5EBZ+JRWVleLptVUDidJeIZulVraHaF5NTTpz0KRj59WLtdILf16kGAS3gdGi+kCDy5WXkN8UJDPZ337EtfIku4A2S67JmM6BCP0acvnMpqLIWH//K+X4uICDGb7X3TxTw+K6wGFXghWNZrA2rLj6h33sac8SFU9oiXpKVhTHwN3aChSMZPnoRu3Fh4imvWiI/IwHtkopORIUVLQADq2HHUd9/JNRl8L7r91XK9srMFtvb9RuHTVasqjbxBgzC//gY98yMYfB907Iju2lVcuouLZZIRH4/KSCeZcA5RgcW0YgI9mENbwsnjCk78/9fIH/+V8BcW/rjs0YH93MBOxtGHa9jHYlpgvPse5nvThAMxdoxgNh99TDb/Q+9H7dolSS8hAarXAJsN8+NPUHfcjoo/Ld4TH80UjsO2rej27cXs7uRJiI5G2QzMK9ujDh5E9+0HmVlol0sULJZ+g27ZShLfhWQY/oAoQZUrJ4tJoAsyMwRDeuwY5syPAFBTp0iHTCkpVrp2heXL0Nd3lxP9doVs6B0OdMtWqNQ0uT0vz7vxtzskQR88KFKyhiEY4RLCnxIIlF3cuVWxZ6JhM7wqGiCvs2uXJFqLhGeRtz3YWRV/2kN4SxWVq8BASE8X7oQlSehxQlUvvyij/chI2LIFY8N6ubYPP4R+5FF0Rjq6cROMRx8WSd/XJqBvv0PI96dOyfh8yBCZ+GSki09F794YU6egb+qDmjcHtm3FfH8GxtAh6FcnQFwc6uQJjHfehu3b5byuvQ7dtx/q/iFCvL/lFszRY1CzZ6FefQX97jQ+pzVPsIxKpDCL9jzPQiK5jEZU/vCHP353lCGb69nJGBbxAp9TnzN8S2Oe5yYKsdOb7ajZszwQJ6fAc4rdIjYRGibE36+/Qb/4EmrnLlGL690T9cViOCdcMt2ho8h+Z6RL/stIR+3b550oWHnRyqFOp3TK69RF9+iBOnpEJs+W9KzDIU0tm80Dqa0om+HkZDh6xCNNW+QDd/Ko+LmL5fkhIZJXT5269EWxChtP3tedOl18H5QS9fDcZpHO/7+phWGIEmDVahgzP8ScPsN7n83mPV5xsXdNKS6WQiA62vvaRUUYt/RFN2+BHvWkXJeQENSmHzBmzEDfP1TO8/WJ6BtvRPe/FbVkiUCU77tPIGhpaTIh90Bz1RdfoE6dQnfvjh42XCBXeXnyuRcWoubNxahWBeOKZrB6NXrYMMwvv0ZP/wBuux3at0dfe53Alw2DiqRSl7NcwQnuYiMjWcZ2qrGBer99jfzxXwt/YeGPyxoKTXnSeZ/ODGQjb3EdaYRgfjhTdMdfGC9djidGyePHPIda/R0Eh4hiRO06EBSIOWUqzPpMuBNxcejKlaSIyMsTrsOrE0Qm1WZD9+qFvuFGjHFjpHDZu1esHuLPoJ96BrV2LXr6DJE8fftd+PorwfbfeRdq0UJRHjmfALk5kvw7dxFyXkoKFBSgXS4oVw7do6eY3sXESNclM1OSY3S0jOoz0qVAyMnxSeYec6bTp9GBLkBJ0VBywTwTDLtDCg63VZDY5dysDpPdjjp3VjpolqOph6RdIl9bVCSYVMBs1EiUsEwTzsRL0k9LEy+QxETUxo2QnY359ruoQwfRoWGYo59DfbdKFLIyM6XrhxJd+ehoOHFcpBdjYmDFcrjpZpk0tGoN58+jkpJl0vPZJ+KJ8fhIWXBGP4d6YBjmvM+lW2iaGE89KdcY4OY+0LEj6qERch79+mE++xzq8/moF8bzIZ35gI7cx1pCyeUtrmME3+Id6/jDH/74q0RVkinAziS68zQDmMNVHCeWcPIoxIYbJUVFCTTJhu7aFXPBIvSMD2Rz26sHxtVXod6YKIIS2dlQvTq6SxdAYETa6ZRcZkFTLTK1ZdIWGAixsXJb+fLoYcNRWZmopUslFxYVeTlrRUVyDMuVu1kz1MYNcPasGINaKn9OpzzOgrVafhh2u9en6FJht1807VAHDpTcpawJR2nvIkCXifzlfZcKC151Jh4cDoyHRmC+NlHuswosa+pRUCBGghakKyNDpjMWPApQn32Ken0i5jfL0DVryjk6HGKuun495tS3ZZL/1mTMh0age9+MsWCBwJWHDYcGDcSYLzERHRMtTbN161DLl0HVapiPPyHFldMpUCplQGYGatwY4WPceAPEx6OHDsP84iv0+9PhppugbVu2UJOfqUoFUrmKQ9TlLA+z1D/JvozhLyz8cVlDo9hIHR5nKa/Rg9NEc4gK0q1+6UXZLD/1NABq8iTpXEVFix54/froyEjMUU9CairG6GfB5cJ8/Q2M6dPF2TklRaRRe/YokZZVSUnw8UdCHmvWTBJmUhJ6wACMZ59GD7oXVqyQBeHGGzFGPibTivBwCA1BOxxQtSpq2TL0Aw/Iexs3VjbJhw8JLMgVCEmJ6Ks9cqc//eQhRRdL1x4kQYaFeRcchwOUga5WTdxLXa4SFaiSJG/97XRIwWG3i6GdzSYFjzWeNwzIykLXbyCwLSgZ7WtrxG0Y6KgocAViHDwIebnCW1ixAp58WsbfRYVSnDkDUDM/gD59ZNE4ckQkB6OjUcOGYr7woqhy1aolC8yCRajVqzFffFnUQ+LPYDz2KOaSb1C7dsrkY/cuUXlKShbSvCsQ4647oVVr6NBRFqHFX6JOx6MrVcK4f4ioggD6rruhfgPh3VjFxXNjUF8s5h7WsoA2TOY6HmcplUjlefrwKyKN/vCHP/7E2EE11tCQLAKJIIfb+IEJzOFONqKAIuwymW3VCnPWbPSsOeJxNPIxjObNMB55GLZtk426w4Hu1Rtdt64YlRYWoe0OUQQ8ehRdoaLkxvx8yZmhYTI9qBznMWJzYj4xSojZH8282LgtIEDgSDab5NRy5dFNm0iH3gOVJSxMeBxKSRFiKRgVFMgm3OFpCMGvm+x53gfFHl5HpTg462OW6pGMvah48KwPyuYDnbWaTNbzSkeAhzRes6bwA1csR18nsF3cbnmOp2BRFy4IbMuafqelyfl5uBJoDenpGO3aoPv2Q782UZ4bHQ3Z2QJHM92YH32CMXMm6uOZmK+9jr72OozPPhXo8oMjoE1bOfbZs8LxczjRZ85I4XL2LPree9EPPwIVygtcNzUVXIHoUycxbuqFUbki6oHhMm26bwjmoi94nRv5kVrczkPcwBO8RzdswG388O99Yf3xL4e/sPDHZY9sXLxEbxKIKLlNvfqKkHKfHS1/f/Yp6q3JAtk5cRzduInAbHr2hAYNMbpfh2WcZ9x5B7p7d9S2bZhT35GFJzsbqlVDnT+PeXUH1N696FsHSJcjKgo06CZNIfkCevRocX/+9DNYtFA6Nrfdjpo9GwoKUYcOYrZpI4XKCy/JNGLpN+j27SVZBwYKvnTJEjH2s84nMFBOrkwEat8+VHKyENwsvK7NLsVCnboePXU8C0gpLK01sVAeCJRnsdQOO9oi9RUXy6JRubIURBa3w2ZDFRaiPSN/dfKkLAqHD0sXKjhYFsgD+8VkMDdXvDgMAzV9OoAoMv24WeBn418QQl7Xa0rUpnTFSqgPP0B3vQZjzGh0syvQDRvC6dOoeXMxR42SoiknBzV7FuZzz6FWfovZuzdkZaIeHylSwsnJ8NMWzE8/Ey+S5s0x7r6zRJZRDx8uxdwrL8s539wH87kxXMlhbud7vqUpj3AnXdhLZ/b9Ad9cf/jDH//NcODmMOXIIYAQCjhNNBPogTl/gQhlTJ+O0aYVxu0DUF9/JZ5DOblQuzbmbbcLP+2HH9BxVSC/APXdKlS6cPAwTSFABwaimzaD8HB0hQqywS8oQD/yKFSrjjFjhkxHi4qkuVKmjPf3wEBpbFWqJGvMuXOwY4fkvuAQyU1KlTxHBwbKbdZGPzAQs0vni125S0OaHA6PapSHm9G3D+R4phRlylzsg2GF9XtOjpcgbndcfH9p3kVBgbz2/v3otm1R69ahb7tDpjbgneZ41i2VkCCqi9bU21LDio31EtwdDoynnkS9Pw3z+03oRo1lnSpTBs6dw3jyCfQ9gzHfm4bxqKgzmp98im5/tVz3tFT0o4+JymJujjQQbQYqUtZoNXeO+ES1bYc5brxMMYICUefPy5oXGAibN2E0bYxRry5MepMcnKykCRqFGzvLaMYT3MEMuvy7X1N//IvhLyz8cdkjg2BSCS35uyci4afHjJUbvlmCGjMGXacuHDkqyapCBahaDT3wHoymjcWN+ZPPMG7qJa6gK1agO3WWhPf9RllMOnbCvHsgxpOjpON18CCqoBC1fx/mq69iPPMU5sSJ8PprYsrX7AqMUU9AbDl0pUrokBB0uXJCyn5/GlzRXJL4qpWS1I4dl3F7hYqi9X3oINSpAyBjcpdLJgx164mBT26ujNLdbplE2G3o/Hx0kyZiSlRY8EuDPJT8WJKFxW64444SdRFV5CHZWVOQ8+chPMILh/L8KI+rLOfOSuepqAh9VXv53TRRb78tnbvMTHEzP3dWFsgN66VjZLejc3JQGzZATAzq/iGYb7+NOngAFRaG+maJ8CTS0sSX4sB+cAXAV1/B9TdAQABmx46QmIgxbx76+u6iPjXwHnF4nTMb/cabGJ9+IgXMKxNQXyzGbNsOdd/gkm6fHvWkdNveekvO+6ab+ZgO1OE8NtycI4qX6U0zTsr3yh/+8MdfNpIJYxs1eJPujKY/q2hEU05h9LwRdU0X1NS3ZNN/7hzYHeg770J36ADHjmEc2C8T6PPnMBYvkqluXJwUBKdOivRp6zbSPCkulhyblooeOgzd7RrUrFmw5UeZ3ObnS752OATi6nDINCI2VnwYrmqPWrsWDh1Ch4WBw+NFVFQkj8nORoeGimO3JQceHYPZ7xaMr7/2nrAl2mGFzSavVVjohRkdPODlWtSoIY+zRD2ssKYgRUXeBpbpc1yrSCgdoWHyGnv3QnAwxr2DMNes8/IqTFOk062pd3w8unJl7+ubpqwRNWrI63o8L9i7F6NJI/TDD2O+/76cl0e5S82ZBQ4H5vETmPcOwejdC/buxfzyK3SLlhhTp6ASzqMffxzdo6cc7+ABkYGvUhXsDtQP32O8Pw2Vl4/55FNSFFaqJByMU6fkvQQFoT6ayWImMZWPaM0R/HDYPyf8hYU//vRYQ3308+MlcW3YgPHQCJEGPHIYXbOGwGgU4qPQWkjW+t77ZHQNqGPHhDw9fQbGY48AHuhMdjbqnbdlU3zttfKvw4GuWRO1bZt07G/sgTF5MubsOTBvrkxNbr0VY+aHwiP4+Wf0gNtQaWmYc+bI6z0/Dl2jJurkCeEZeDb9umEjOYeiIpmYeLr/tGkD2YLBVekeAjcyhVBFRVCrtjzH6n457N6xuc3wkrcVYLpF0SokBKWUV73Dmlzs+FkcUi28bunxe7Hbo2QSIF0xj5meWrsGBtwGbjfKInHHxsp0wOFADxwoZnk5OZivTkBtEMlZIiPRdptgjh96EPPFlzBGP4M5dpyc5YnjGI8+gvnNMowffpAF6fQpWbiCQzDeeVtUvN6aDAcOiAP34yPhyivRg+/FmD0L6tRFPTmq5BT0Cy/C8WMiewh8T11W0pg72QiAicEb3EBFUv3jb3/4428QZcnkIZYzjQ+4n9UiL3vqlMAy69TBfPQxiIkWL4qIcBGp2LpVpsTly0vjKTNTuGrRMV6VoULZ/KuE8wLZGToMtXQpauFCSPfwKIqKxOwzK0s2yqGhAumJi0O3bQdRkcLlO3oEypdHFRaVFCrUqAkXLqDLlBF+nQcmpGvVgpo1JH/5hu9m3yKOOxxezkTTZiLkYT3cImcbNkqgncqHh1dUJIWTFaV5GKXVn3Jz5DWzsmTiXlyM0eMGzKXLvY9VyP1hniLkxAl0pcre4xmGfDZVq8q1Ki72QMbsGD17oubOxdy6XQxvk5JEIn7cWNSdd0CvXpjxZ6FBA4z2V4pXybIV6PoNMCa+jjpxHD3qSfQt/WWN27ULLiRLk9Ew0KkpqPfeQy1diu53C+aEidCho7yPM/GoxEQyCGIXlbmPNbzObAbwA4H8htGgP/7r4S8s/PGnRzaBkhB37sQYNBDd7Ao4dlS4BJ4ukJ7+AWrIfah9e6FRY3TNWqgfvpeORloa5s7dGN26Ctay2RWonTsFnrRjB7rfLaidO9AhIagz8eiXXkHN/BDzo09QD40QBZGKlTCefkokbuvWRQcGySbYUPD551IgVK0mrqH794tikgevq9u1E2hUD4+Hwrp1soAUFKCrVEHXrIW2/CmysmXDX1wkHX23W2QAwTvWLo2l9XAsNAh5OzzCa2Jk4W89aidq21bBG9tsF5vwWThepwMdEIB2OoUzERQkmOPMTNi8SZQ1UlLQNWvBiROoo0cF//ryqwIfi4xCff89lC2LGnKfyP3u2IHKzkYdOSJGVmXKoFavBmcAumVLwczOm4v50stSiAUGCsHv2dHSiUxJgfBwweXa7ZhvTsK4dxD6oYfRbduhFiyQc7OmFEqhJ02GzZtRHifZ76nLJ3Tw+VYp3qMrBiZD+A5/58of/vjrRkVSiSaTGDIpQ7Y0gQbfix5wG5w6hfH5fMxevWUDP3sOavt2MVqLjkadPSs5qmJFgU8pSuBI6vQp9NVXY45/EbVzJ+q9d+H8OcmZWVmiQGQYAvtxBgiMNCYGypZF39xXfHg2bYLkC9Ih9xieUlAg05KTJ9Blywr2H6SoqFsXlZuLLvTw1TyhrQLAV+XJ8izKl86/vucetOUAjmzqLQL7RZQx6xh5eZh33On920celgDXxYWM1YgKDxd58pWrMPv0FdGT71ZJM8jia7hckqs9a5M6fkwKOJun6WWzCSwtMkpgTw6nGA2GhaK+WYJRvx76qacxZ8+Vz+HsWdTevRj9+6GmTkW//ArmMRFAMVq1RFerhrlsObpGDYyXXxJUwdPPoO8QqJY6fkxgvp06o1wudONG6KpVMRZ+jo6OFv7GgyOgajUMNA04w6PcxShu4yjlcPu3upc1/FfbH3+NOHIEo/8t0ok6cRxVWIgqUwaVl4f50ccwZzbqs08hLBxz2vsYo59B39IfteNnzGnThdOQmCiJsG5dzAcfxHhohPhdnDsrXaujR9C334F6cbx0tMqXRy1aKNrYsz4DQN/SH2PGdFR6GmrHz+g+fVE7d2BOmgTg9a74aYt0jSpXRt90sziLtrtSHvPaq15DoEAhdXMhWW4ryPd2hqyFJT3du8D4jpytx1gcCw1oU6R4HR7/CkvhxCKD79wF9evLomIZOHkWGF2xIrpxE9Se3SjTlK5Uhw6yGJkm6t130C+8ALl5KKsLFRGBmjxJYAVdOmN88hHq3FnM19+Uc46MFOfzkBD0Ve0xhg/H/HoJ6tsVmJMmo7ZtQ+XnoT7/HDp1hpiymL16S6dsymTxEFn6DWafPmLEdO9gaNAA855Bwr14b5rIRq5fB3t2weJFct6GIfct+Zo2HJFL8QuytmIW7UkinD789Ad8af3hD3/8J+GkmMf4hlEsoQFnOUkMM+iMrlcf9dlnqKNHMR9/ApSBMeFVVFoauotAXtWPP4oIR/Xq6O43yPQ3J0fuO3ZU1oGp76ByczHemAjxpzFbtvSSrcuXF/nyggLZbEeL4hOVK6Ovv0GU7fbskVxcrpw0QNxuKCwQ47zde9AVK4o4iDUhjquCOncO874hqC1bvCeqlMCk4P/au/M4n6r/geOvc2cfYzYzY2xjZ+xrGMleiCIUUiFRivq1k0qrrdIqslffJCpZKlLINrbJFmNC1jEzYnZj1nt+f5zPfMaEqYy13s/HYx7xWe7n3mv6nPu+57zfb/Nay3Iu3zE5DKaKn9q1y8wYgxlnjsViKgW6FNwbOTt3IicH8hOw88eAfLmOJqv5Sd35S7SSkkwwYOdhRW6AUkFYb74B3W4zDV7BBGZ+fuaGU35wceCAIy/Px3yuUmbWx8XF9LXw8zM3pZSCvFysZk1RP63AjvoF3bWbee3p06gli7A63QI7tqMXfIm9eQvW4kVYrVqiu3Q1pWSrVUNFRpr8xudfQN/RE06dNOOnnx+6bDmseZ+jy5RF33kn6oflqM2b0I89xhQ6chovRrCMehxlC1XIll7QV9R1E1gkJibSv39/fH198ff3Z/DgwaRfqNGMQ2ZmJo888gilSpXCx8eHXr16kZCQUOg1SqlzfubNm1foNatXr6Zx48Z4eHhQrVo15syZc6kP7z8tiFSsHt3N9PGRI+aLumxZUBb2+5Ph6FGsRx42a+83b8G6uQO6azfU/C/QN99sOnh+PtdctD40zAwskyaZikh9+6CVZRK/lYXu3AW1dSt68oeogQNMlSIfH6wXnje5FU2amtfXqGnWmp48ab6Y+94NgJryoZniTUgwA5TWULYsulSQ8wtcbdli1ue6uqKDg1FRUabCRVhYwReyUo4eGV4QH1fQ9TTfWQl7unSoubOGdjZaOrs7LJ6ObqIenmZGplZt8DOfj6vjDtOZM6jjx1GenmaALB1qnitbzizbcnGB1DSTR+LhbtYPlyqFzslFLVlsmgxOmwHZ2dj16ptk7tKhqKEPYM+Zg9q8BRV3HPJyURs3odu0Nc0K+91tlm79fsD0vFj6Ldbcz7CfetI0V1r2vXntSy9hjxiBjo9HTZwAPe4wAcXMGdjzF5hOr8ePY839DNY7lje5uqJnzKIzO/Dj9AV/v77hBhZywyX8jRVCFJcPmfRiE/U5wrc0Yi4tCSCDe1kH9euZCnw7d2CNH2f+X+94symm8eOPpv9O7domt+30aXO3vEQJk58QFIQ99SMzqz1+LGzebGbBs7KwfvzR5MHl5prZUg8Pc5EdHIKuEIZu3cYsi1r5k8mZq+pYipvsmKnIzkZ3ux21bj26ciUzW5IfVJQKgqRE7A8+xHrxhcIzz/kX/M5iHI4L3fwlVYBu3x61fXtBAFC+vLmQRhcEH2dvA0x1PTf3go7djkIXzspUjj5Khd7naI6KiwvExaH79QOtsdq3Qy9eaoIoMOc4OKRQcMHB36Gkj1kqlpVlbli5uEBiIrpOXTNbfeaMqeYXFISaNAmraRP0c6Oxv/4GUKbhYEoK6rXXUIPvN5Ud123Anjcf6/nRWLd1RT8wFD1hIva0Gag1a1C/RGE//yL67XexP/2fuWGXccbMZsydC3HHsYc/Cikp9GQrC7mBGbSnEQd5i88ox6lL/vsrLuy6CSz69+/P7t27WbFiBUuXLmXNmjUMHTq0yPc8/vjjLFmyhAULFvDzzz9z/Phxevbsec7rZs+eTVxcnPOnR48ezucOHjxI165dadeuHdu3b+f//u//eOCBB1i+fPmlPsT/JF8ymMBcdNkyqIQE1JEjUK0a2s8f+7nnIDgYq21rU/966XdYXW+FCmGmY3SJEujPPsfq1xeCg9GtW2OtXm2a423ehO7ew9TGzs5Gbd+O/cYbWA8/hH74EUhKMpWH3poEs2ahXVzRPXuipk1FpaeZ/I4WLVCffGzWeyplKimdSjSVMoKCzF38Jk3N+ttu3cwBnTlT0OHVzw9uaIbaucP8vUbNwqUMFeBT0twJcnMr6Cybf0dKKbO2tlQpkzCttSl96+ZmBpn8BniOKXbt7maChFq10O7upr9Gbq5p0mTbBc2PlDIVsXx8UN8udW4jf1DTvXubdcMVK5mmeijUlwtMAFWnDtYH76Oi92C/+565K6dBR0SYJVYRLVETxqFnzzHbqFsPdegQumlTdFycaZz3/gdYb76JbtvO1KBv0QLc3bEmjIdOnUwd+R9XoJ8bDevXwY7tJrhwlCS0Xn0ZYmLMOfLw4CV6kUIJimJfP191QvyLaWpzjKdZwkgWcRIftlORTuykMzuZTSuiqIyaOdPk0FWqZJqQHj5kvmdPp6ObNUPfdZfpmXPypGncuXu3WUb59jvo3ndijR9vboiU8EHXDDfN87y9ITjEfI/nN34LDDQ3sfz90Pfei9qx3dwIOh5rbtAkJZuZW0dQYd/dH7X8e3TNmmaZUn5Q4VMSXF2wn38Ba8hgx6E6ErCDggpy4bQ23+mOhnnO6lOAHv6ouSsPpuLhbbcXXsqU/+ezy5Hn5ZqlXZ6eZzVddS3IufP1deSNmHwJ5/iSnGySsgE1fRr2o4+ZCn197sLetKWgMlRCvLmxlZZm9ldrs3TK1dUsTTp9GpWXZ5ri7dqJbtzYBCHu7qbHR0hpOJGAVaM6/LoLe9Nm9ICBjma0J1H7fjPLoyZPNuWF98aYc9izB6rNTWbJ2fgJZlXCD8uxet1hqlo98yz2osUmsIiNhVq1USt/Qi1ZzHc0YA/lOIEfc2jLM9xNPAGX7ldY/KXrYrSNjo5m2bJlzJgxg+bNm9OqVSvef/995s2bx/ELNJ1JSUlh5syZTJo0ifbt29OkSRNmz57Nhg0b2LhxY6HX+vv7Exoa6vzxzL8DDEydOpXKlSvz1ltvUatWLYYPH07v3r1527E0RhTPA6wkAw/TTO7g79CwoSkd2LMn3NQaq3FD8+UyerSZlTiRACW8ITkZe8curNu6mVyFoCCwbexnnjX9D8qVN1/abu7o7Gx0zZomkex0Bvqpp7H698N+dhRYFtbLY1AhISbX4kymydtISEC3iDB3qN57HwD12qvg74da+ZP5gg6riO7ZC/XDcvQtncwBff+d+e+ZM+hq1UxzuKxs88V/JsNREcrFfDG7u6PDKpjp9pIlnXektKvbWTMWqmAgsSwzy6GU+TLPf9zx+6pcXc0gpTXK398kd+fkmM90dwfvEmhvbzOYpqWYwefwYXTzFiZR73Q6RG1Fv/iSmeFISTEzJmFhJrka0HM+gdRU7PYdUFu3mC/2oQ+gZ8w0A3LccXSZMqixr6NfHIP19JPY02eidu5ExcWhPv3U1C6vVs10NPfwgM/nYk9629ShP3gQgoOwXnjBVCSZOg1r7OsmsPxoOmrTRnTEjVjDHzHLGMyRX+5fUyFEMZQgkx5s4U0+oxV7+YIWaBTDWYEPWbxMT2IoS1v2UpYk851UqxZs345avsx8L3fsaCoYVa0GcfFQvgLq112QcQb94kvYL7yINXWKCUhOJGDfeRdq6xbUnt1mxiIlxVTF8/A0swtBQWZGomJFdP/+WF/Mg927TdPRipVMae7cHGcHaHvIEKwF89F16prZDDDjgIcHukpldLt2qHnzzI2l/BkFpVAnC4IFUwXKtaBin4eHszSt2vaLqeqXv92Gjcyf88u9ni1/Ga1tm+VSQUEFj5cOLXh9Xp4Za3xKFDzm6WmqKaWlOXonWVhr1piZ/+XL4OBB7PlfmjEDzEx0cLBZZubra7Zz9GhBT4zERECBfwBq0yZ01WpQKsiMuUcOo/PyIMAf6+FhWF06o598Cvvb78zseVy8mXWJ3IDV7VbYuBH63Y195BjcfAtWk0aou/uZm4gTJmJ/OBW18Gus3j1h2zb0A0Owv1+GrlsX9esudP0GBJPGayygLxvw4Qx5WJJjcYVdF2c7MjISf39/mjZt6nysY8eOWJbFprPXMZ4lKiqKnJwcOnbs6HwsPDycsLAwIiMjC732kUceISgoiGbNmjFr1iz0Wf8TR0ZGFtoGQKdOnc7ZxtmysrJITU0t9CPOVZPjlCUZCxv2HzB3vatVh8qV0QMGojq0h/h4dOvW6Dr1UJ/PRffpAzt2YM+YhZr3OcTsRZcpY5LQQkJQE8YBYA8dCh7u5qI47jj6rbexxryI/c47sGWzuZvy+OMw7SO0h6dppPfRVLNONyXZzIq89ipUr24u+vPyUN9/j+7Rw9y9SU42X6x165r/+vkBoN56y/nlq7y8TEdXX18zLZyflOeYhtYaqFbdVBsJdHRQzQ8g8qetlWWCC8dzytVRxi+/T4VlofNLA2aaqWkOHDBJdfndtl1cTFOhUoGmHGy16ma5liM3Q7e6yTT5Uwr13nvO5EUyTqNr1ULt2W3u3G3fDvXqQZkyWO+8jdq0EfvDKWZbiYnoHj3QWVmmtO83C81Mj68vasZ0dN16JlDLrxK1cBFq0SLsZ0aiUlKxJk40/S0WfYN9e3dwccEafL+5C/nRdJPYXbcu+oUxqC/nY/fogTXIVP4SQly7QkjhOb4hGW9G0o9pdOQoQSynPnfwBGsJpx3RzKcFU7mZTNxQq1aaAhA5Oejbu2Nv2ADlypsbHMePo3btgj9OmM7L02egln2HensSxMSYHK48G2vGdKhS1XwHbd9mblA5ZicoE2qqR3XoaJro/bDCfL+FlkH5+sK+39CWMsths7KwRzyGNWcOunETU0Akf+mqmxu6bTtUbh66QSNzsyV/WRKYZVVQkAenlJnd8Pc340iSqRKoe9+JWr/eBDH5N4zWr3N8//+p1Gz+Uqr8fYg9CvkVCZUyS1nBzDokOXIgTiWa97i4mMDH1c0scapeHR1YCg4dxH7scVAKa+gD0Lo19hNPFJShjY83Y1x+1SytzRiamgZ16kDsMZOcXqKECbpKeJvPr1rVLI06HgeVq8C2X7AqhUF8PPaatejHHjNLc08kmLy9Tz5GPfSgydV4/gXsw0fBywurckXUcyMhKAj9xpvYH3yI+upLrDt7mWaJPXuZLuBdulCbY/xMOIcJojfnvz4Ul9d1EVjEx8cTEhJS6DFXV1cCAwOJd961PPc97u7u+OevDXQoXbp0ofe88sorzJ8/nxUrVtCrVy8efvhh3n///ULbKZ3/5XDWNlJTUzlzVsWHs40bNw4/Pz/nTwXHlKMoEMZJhrCSV+hBCKkmaSyskuln8dLLqGeeRkVugNBQs9xpwL3YQx9EffopusutcMMN5sK/XHlo1x5r2TLT9GfdOvStt2KtWIGe8IbJp7j3PpMbUb48dLkV6/5B5g45YL32Kqp0CLprV/NlFhCA2rsX+/7BqIR40zQPzExEbo5Z11khDAIC0PXqwepV6PYFgafatdM04MsvJbhrp1mT6h9gSs7mJ2C7ucOZDNOj41gs2s/PzGR4eqHyO5uizACU3107f12ssykSBXeuwLEeF5MUV6NGwZ0uHx+w81CnT6MOH0K5uJhBrU4dsxxqzWoz2Hh7m7KzWmMPHw7JySjLfJ4uV84kpQP2R9MgLg67+x1m+VSoybXQk94xVaRs2wzADw3F/mYx6vvv0OPGobZsQdepiz6RgPpyAfas2abz+T33QGoqam8MumlTrOdHm+7qWZmox/8PKlY0QceDQ9C9e6P79sOa9hF27zux7h+ICxfoaCuEuOpO4Mdo+rKaOuTiKKuKYh3h2Fj8TG2W0ohnWcQsptKIQ+Y75J57sbdEmWWgEydAUiJqzc+m/GmPHtgLvoK4ONSYF83FZdmy6LbtsN5715QNv+EGU9o6Pt7cmQ8JMRX1KlUGn5LoESNMv6H9+00xjmrVzPfpwYOmFHh2tlne9NRTWFM/NEtjf4kq+F51cUF3uw21dQv2zJlYI58pCCAAHVrGVJsCZzM53NwKulz7lCwIQJ4dic7P2XNxMZXzNm82k7H55WjPnrXIL+ph2/D77+jmzQv+7ghWnPsZUhrycs3Srvy8PG8vM7sdG2t6IfkHYL32CvbYcXDoEGrEcHj1dfSzIwvyQVJSzHnMH1O0hoR4k2/YuDHqwH4z9rm6mrHjxAmTdxEUBCHBEL3HlK319MTq1hX14FD0sIexV/yIsiysu3pD7TqmtPm9/VHTPjKz+jNnYf+6B7U1CiusPMycYa4L3nwL+70PUF/MMwHGli3Qpi0vchff05BIajCHtpf1d1ucn9L6z3NsV87IkSOZMGFCka+Jjo7m66+/5uOPPyYmf121Q0hICC+//DLDhg07531z585l0KBBZOU3cHFo1qwZ7dq1u+Dnvvjii8yePZujR48CUKNGDQYNGsSoUaOcr/nuu+/o2rUrGRkZeOU3pzlLVlZWoc9NTU2lQoUK3MgzuOJR5PH+F4SQwkgW8xp3kIgPPdhCLWLx4wwvcict+I0X+ZpkvBnIg0xkHn9QkrocxULTm8f5H5OJpiy+nCEVbxbQjDeZSzx+7KAiG6lOIw5xAwd4gbt4jzn8H/dSjRM8wCru5RF6spk72MwP1KcU6ZQinZP48AuVuZ0t1CaOrjwLwLvMwZssfMjiWxpQk3jmE8EhgtEo0jHLkZYxntO44YLNDzQgC1cq8gcaRRVOkIgPlThBEj54ksMYevMqC9hHCHU4zlFK4UU2pUnGg1wG8RDdieJDbuEDZpGKN/+jFfewlrocQ6NJpgRlSCQFH0qQxTIaEENZBrGaAE6ThBclyOEAIVTkFH0ZwVe8wzLqcRMx2Fgk4IcfpwkmjafpTwxlWMIbHKMUJTlDGp5YwEM8QB6Kt/gUHzJJx5tPuZFxfMGDPEBDDuNBNvU5Qk3ieIle3M9qypHEBG6nLbtpzV4OEczz9GEUi8jEhZJkkYAfq6jDC3xNEiVYSmNaE80PNGAZDejGLwSRxhxa8xzfUIUTLKExVTnBJG5FlkQVlksW65lISkoKvo6a9OLakJqaip+f339+TGjE74xgOWVIxgWbDDxYQmPu/nU66sPJJtfBp6RZouPtjW7QAD3mZdTSJagVP5glOR4e2EOGmoRpy0I3aGjKk548aS60K1Y0F9FlypiGpyV80Ld1w5oxE44dA0CXL49KSDBLbfOTnf39sYc+iPX8aDOru+ZnM1Ocl2cClw4dUevXY6/+GatlC5O34epaUKAjv/FdiRIFN4OCgsw2zpwxd/9TUkwz13fehbGvmxxDNzfTx+m338zrvLzNstHkZPMeDw+TYJ2QYD7rxlamf1CHdgVlxXNzCzqAl68AiafMDMKpU+b5/FwLpdC1a6Nij4O3l7lZdvQo6uBBU42xazfUXXearudam9n4vDzw9ILsLDNjrJSZIa9dyyTKV6hgzmVgoGkc2LWrme2vUtXkNfoHoIJKOWZB/LF/WAHVq6PmfoYaNw4CA7AnT0GtX4dashj75Vchf7XKrl1Y994D6WnYH02HDh3M48ePoyZOQB2P5aGFgcRQ9or/Ll8PrtSYcFVnLJ588kmio6OL/KlSpQqhoaGcOKu2M0Bubi6JiYmE5lcw+JPQ0FCys7NJTk4u9HhCQsIF3wPQvHlzjh075gwMQkNDz6kklZCQgK+v73mDCgAPDw98fX0L/QjDjwyeZTET6UYiPpTkDHU5SjBpjKM7ISQzikUcI5A+PMZA1uJBLv6cJg1vBjCMkSzmGIG8RTfWU5ODhDCQNWTgznhupwRZHCeAVsQwhZt5gm/ZSlViKcUIljOW7ig0/VlHMt58Q1OycOMopShPEmsJpxZxzKI1YKqX+JDFCuqznhpUJ4ESZLOb8qTh5QwqPMkiAzfcyWMWbfmeBlTmD0JJ5g98cSWPHEyjIxsLC80J/HAnlzgCSMYbF2yS8SYDN7JxRVFQRjUPiyxc8SQHUKTgRTYueJNNNu5k4cZp3KlKAj9Rlx2EcRoPfqESJ/BjMU05QAieZHOUQHJwwYNcbBQ/Uws3bGwUoSRh48LP1CIPiz2UIwcXfqSuY62qYgy9qcIf/ERtKnOS4/jTkZ18SyO+4QY+5Ba+oSlP8h1j6E0ApwklCTdsptOeePzJwCReN+QoX3EDoaSwiwo8w92UIZkqxJOAH135hWrEsZTG+HKG1uxlIreTihcR7OMopbiHdVfl91kI8U9pmrGf2UzhZb7ClTz2U5o53MSDDMaDXKznRpqZ3Y0bzQV9rVrY/5sLd96F9X+PmsTsvXuxH38CbVmmB1FoqLkg37Ed/vjDXEiXK2fuspctZ+6yd+4CYWGobxbBrp1oPz903TqohHj4w3GNoRS6YiXs+x/AGjcW+9mRZmbDy8vZM0g3aGiWgk6fgXX/QBMAuLmZC33AbtTIBBWWZYIKLy9zQZ+TYy7KtTaPA3rIUFMu9fjxgu0PGGSetyyzpPesvE9nroarq7NfEg0aFCRtW5ZpKKe1yak7HmtmvVNSzEx2ft5dyZIm1+LYMSgVaJaMbdiAfvlVyM7GeuIJk2s4azY0amw+OzXVzEpknDbBRP4S3qRE+PVXaNsWFZ9gtp2cgi5XHrVosSnqER+PbhGBSk8zsyx160FujilLO34c+u7+2KtWo0PLYPXrA7GxJml72keo4Y+YXI569bC378B+7wOsBwajbmhqCnmULYt+513st9/lFnbyEl9Sg7gr8+ssznFVA4vg4GDCw8OL/HF3dyciIoLk5GSioqKc7125ciW2bdO8efPzbrtJkya4ubnx008/OR+LiYnhyJEjREREXHCftm/fTkBAAB6OtYURERGFtgGwYsWKIrchzs+LLEazkA+4xVmlIRcX/DjDW9xKDi48wxIOE8QwBtOAI4RxinF0owTZPMoA6nKMRhziefrgRTYR7CeaMjTiMI9zL0NZxRQ68iTfcoggcnGhIif5gFvozlb+oCTRlKcSCRyhFFupShreTOFmNlGN72lABU5xBncWYn632rIHDZQijRXUJ5LqHKHUOZWG2rGHOPyxUXxLYw4Sggs2JcnCBRsFeJDLEYLIxA1X8kimBG7ksZo6xBKICzb7CSU/+FBnNXZLx5OtVMGTbHJwYSdhZOGGO7nsoRwu2KynBkGkk4sLO6hIFq6k4sOr3EEtjhNJDWoSz4/UIwNP9lKOM7ij0YzndjJxoxm/A/ABnRnBAPw5wzxaFjredLw5QilaE00r9jKCQcyiHXlY5OBKHAF8QQRrCKcG8fyPVjzGcmbRhg7sJgs3GnKIPFx4kMFEU56pdECjOEAo/+NG2rGXzVQlD8sRTMFkbqYzO6jIH7xEb9zJZRW18CeDW9hx+X55hRCXhAuaipxkDq2ZSDcG8AgjuJ9T+DGC5ZzGw6z/j/oFylfAfv8D7LHjTDW4/30Kv/6KrtcAu9/dWE89iTp5Et25iyk4sX27ucivXt0sI60Qhq5WDby8sJ9/EfX9d5CQYGY7qlQxQUb0XjMbkJtrZgsaNUZ374H11hvYL7+CNX4c2sfHXNBnZkL58qjkZOzBD0DMXpOb4eFRsMyoTBmsbdvMn0uWLGhgGhAAnp7orCyz9DV/GdTIUQWfn5+f0bevs4s3bu7Oan5AQR5e/szKmTMmcHFzN693d3fmRihHjyJdsaLJ0XN3dzbAIy3NNAVMTTWf6+4OpUtjDX8Ye/oMOB6LNXAA+Phgz/nYlOkF1JEjJiiIjzP5KfndwVNSYOMmdMeOjoawyuQ31gpHrV4FpUub/a5YEYJDzOxFhTCT1zJxAlbTxiaom78Ae9x402ivV0/0fQPM8te7+6LmzDbn59ZbsX8/iB4wAKtta1Q3s5SZcuV4n85M5ha6sJ3H+P5y/zqL87gucixq1apF586dGTJkCJs3b2b9+vUMHz6cvn37UrasmfKKjY0lPDyczZtNIyw/Pz8GDx7ME088wapVq4iKimLQoEFERETQokULAJYsWcKMGTP49ddf2b9/P1OmTGHs2LGMGDHC+dkPPfQQv//+O8888wx79+7lww8/ZP78+Tz++ONX/kRcx9zIZTTf8DGtOYjJWbGwGckiPuEmYilFFU7ghs3L9MaHTPqznhe4k35sYhJd0cDTLOVFepOFK4+xjI9ozxi+YgmNaMk+fqIuDTlMKdJ4n848zrd8QQtO40FL9jGaPgD0Zz0K+IqCwHQHFVlJXYbyE2sc638BbmEneyhHVU4QQxkycWcVdc45xiOU4n/cxC7CyHPMBmykGhaaMiRxlFIoNFm4Mp8WZOOKK3m4YHOQIEBjoTmFDzuoyGRuBgpmLPZSjhS80Sg+oxXx+HOKEo7PqYGNxR4q4IYpNbiRariTh43FYYIpzyl2EUY9jvI9DfmaZvxCJQ4RRByB/EoYC2hOfY4Amgw8yMOVX6hMNm60YD9nd7B+iV404RBLaUQQafx5KVIeLnxCa7ZRmc9oRQZuDOcHfqQuJyjJvazFnRwSKUk6XhyktPOcf04r1lGD24jiY1pzD+txIY88XJjA7TzMChSat+jKSJYwmzb8gcwMCnGty8NiAS34mTqso5bj+02TgTue5FKGZFN6e8gQ7HlfoL780iyR+fVXOHnSJGt//SXW9OlQvwG6ShXTQDO/alHlyuYiv0xZs/SpTFnsUaOwXn0ZnZuL+mE51KyJ9vdH7dppctNOnzbr+Tt1QUe0MM07J0zEeupJ0yRUa7Psx98fHV7L5Ov16Yv10hhTxtbFpSB3Ir8MuKeneY+vn7nQz801RTxSks0sgW2bi/KoraZLNxTMRJw86ShBboO7m6n4d7b8CoFgPisxEXwdRTzc3c32lXLOiig7z+zPkSOmfHl2tpm5CPA3f05IQFeshG7fAe3iYvp03HgjRG1FvfOOmTF67XV0pUpme1s2o9u0Re2NRtet6yxeQnqaqZrYuYuj0uBpk2tRrRrsjTZBYJt2oDBLybZuQSclmUDw+HGsmtVh3jy47Xbs1WvQDepjPTIM9cnHpot3ahpW99tMMKcUDB+BfTQWalTHqlUT9fDDuJLLH/jyLl340DGGiivruggsAD777DPCw8Pp0KEDt956K61atWLatGnO53NycoiJiSEjI8P52Ntvv023bt3o1asXrVu3JjQ0lK+//tr5vJubG5MnTyYiIoKGDRvy0UcfMWnSJMaMGeN8TeXKlfn2229ZsWIFDRo04K233mLGjBl06tTpyhz4v4LmGZawmCbspiCRfRCr+Zla7CIM0NxOFNNoz0lK8jRLmcStdGU7eynLHsrTjw0soz57qMDt/MJ2KnI/q8jBjQU0pyGHWUY9+hLJ9zTgRmJQwEKacRN72UkYiZQENIcIYTsVncuY8nmRTSCn+cSxDCqMk3iRzT7KsJMwQLGaOuyg4jlHuZswNlGNd+kCQBZuxOPPQULw5wybqIrlGEbzUGThRiCmqlGeM8SwiKEsvxJGEj4k4M9XjuZun3IT6wgnkhr8RhliCWQHVbBRfE0zkvDGlzPE4Y8XWSTii4UmjJNoFDaKgwQRTCoZeHAaT7ZQFY1FgKPB3JeYmbiaZ00jL6c+N7OLFdTFj4L/v44STAJ+lCGZIwRd4F9eOf/7PHdyI7+xi/LU5xgrqEeXImYZJtCdN7id9uxmHhHOWYsUvPmAW7iXdcRSik+4iadZet5/EyHEta0eRxjHPFryGwCHCMb+Yj4cOYI17CHTjfqXKOx33zcVgvr2Md2Xu3eHY8dQe6IhL8+Up/XwMBf9FSuClye6952mMtHMGaaKUVw8hIeDiysq5jfTFygpycxUDByErlAea8oU7Hffx3p4mMmJyM01d/VLlMDu28+UNV34DVbrVuYuv9amUh9gd+1mypqDmTHR2pQZDwoyQUNurik44ugzYf/fE6Zvz2+/mbv17h7mIv2nHwuKcliWKeyRz1l63PG8bZtckeo1zGdkZpn98vMrWIa1b5+pBHX6NDoiwpEn4VmQkJ2cjNq5w/yEVUQt+AL95lumGuKHH8DOnaZpab+7TTBkWagffkDffLPJM2nVqiC40NosVevazZSOP3bMBEkhIZCchPrxB1McZc9udK/eqJRk2LET3aKF6Vv10FDUbV3Nv8n0mdjvvY/a9otpjBtWwTTNe/cd1BOPm/13dUVPegd73wFUfByf8CGtiQY0OdJx+6q4bgKLwMBA5s6dS1paGikpKcyaNQsfHx/n85UqVUJrTdu2bZ2PeXp6MnnyZBITEzl9+jRff/11ofyKzp07s23bNtLS0khPT2f79u08+OCDWFbh09K2bVu2bdtGVlYWBw4cYODAgZf7cP9lFNNpz2aqFXr0c25kJXUBuJv1RFOWbVRmOD+wkBs4TgAlOcMCx6xCNOX4iI6UI5EW7GMPZalJHI9zL17kMplbcEGTiiff0pi+RPIOXVBo7mArX541O1GPo4X+nu9mdvEVzZwN1zqzgyMEUZ04fnLsa1FsrEJ3zqsTz3yak4kb8QRwipJY2MQSwEGCCeQ0GuVYIlUKG0UG7iymCZupSjau/IHfeT8rBW8U2rlcKh1PypHIchrgg6kQZfIozAX575SmEicZT3fnNg4SjB8ZLKMhYAKA17iDtuxxvuYUJXEnlw3UOKcR3et0pwdRnD2TcSHRhPELFanLUabQkebsZxFNinxPHAG8RVe2U4nTZwWBBynNB9wCwE4qsoHqPMhPF9qMEOIaU5V4XmYB3fgFDaTizSv05BQ+WH3ugqgo2LoF3ekW7CdN7yG1Zw+6Q0cIDER9/71JIPYpYUpcJyZBxUrmx7KwJ72DWuioHLVyJToszFR+SkuDw4fQpQJN1SZlYY96DhRYs2dhfzTN5E2EhJgLc8fFt/3Ek1iffoIducnZtBUXF2fnbEJCsJZ9bx4vVcrZfRoPD7McqXx5iE8widT5zewefxy1f79p9ufhicrJRt94IyoysmDpU04OOr/rNpwVWJjKUDon25R7bdLEPJ6ViS5b1sw4OPaLnBx07Vqm2tTOXQXVqTIzzb7m5ZkcjAoVTM+P8uWx7r0X+0tz/qwhg01vpjEvwU03OUrXWqhly9Ct22B9+y12ly5mxujMGRN4fPY/6N7dJIdHRZm+Fo5qidbsWSao2P2rqd4VVAq1dKlZGlW5MmrTJqxqVWD9emjTFvvntej2HbBeeRk1/GH062PR3btj3XUnau5n5pz7+WF/vZCBPER5EpnA59Th6BX5XRaFXTeBhbi+nTjPxXGGoxpKBL9RhmQWcgOd2U4y3kRSA43iY9qQv8RmLbWw0IxgOZO5medYzOe05DDBHCSEWALJw4Xn6MdD/EgsAWyjMjYWE+lGFmZNahMOEkMZ0jk3+T4PxRpqAeCCTU3iGM9thJBGLIH/+LirkkAuLmynIusI5wXu4gweuAKHCKEUaRzHjxS8WU0dDhFEAv6OYy66ylEK3rhik4QJsLdTiTIk8R2NnMHIUhqTgwuBpBNNWWoR+6etKE5SkmBSnI9EU47qxHN2sLCCenTg13P2IZoKnMGNm9j7t87H6/SkI3s4RiBHCKIVMX/9pgueh4LH8ytw3U7UBV4rhLgWlCORUXxDPyLJxcLG4l26sIZwnmchTTgAe6MhOwv7++WoTz7BGj0KqlVD39rV9KT4/aApoVq/vqmqFBhokreDgyE01ORGPPE4ukxZ1JzZ6IYNoVo11OHDEBtrymfHHjdNVd99BxUbi5o7F3vOx1h9+5pu0ykpzjv++tHHsCa9Zbo9fzgZ9u4tyJ9wLIHSVaoWVFuyHLkSySkmtyA3F5WTa5YrnTplLoTLlIF9+9ABAea1/v6m18bQh1A7dxbkUWTnmP5K+fL7VTiSt1VWNio2Fn1TaxNsZGej0lKhfPnCJz4318xk/HHCNHTNzjazGSkppnJVYiIqMhK1a4e52E9LRW3bhu52O+zbh3rqSXBxwZ4xyyRz27bpfbR2LTRpgjVvHrpnL3NeUlNNyd4PJ0PvO9GNG6OWLcNu29aUda9cGfXFPHSNmqYUu48P+tZbUatXoRMSTDK6jw/WoyNQ48eZmag33zKzFfEJWN1uRUVHYy9eYgKfHrfD7t0AZOPOXG5kLD1oxx5e4GvKcepK/XoLJLAQV1kYf9CDrbxHZ0CRiwsfO5Yhnc9dbGQ1tWjNXn6lfKEciXw2Cg9ymMhtgLkLn58sDpo72cQCWpx3+9/S2FlrvQm/s4UqNOcAm6h6UccXSXXKkcRBTB8WF0flpdIkk4Af+ynNUccyohJkcZAQ0s4T8JzPEYJYQHNiKIMHOcyjJZ/TqtBrfieEM45KUXspRy3O7VT/PQ0pwdllmRW/UabQcqiNVCeKyufdj+m0/5sBAqThxc/Uohu/8Bmt6MkWvAp99sWbRVvqcpQbOHBJtieEuLTuYAuDWM1ntGIRTZjLjcyhNYNZTXe2EkIq9ThmelT4+WG1ammWxNx1l+mzs2SJyQ3w9oJatc0FdXgtcxFtWeghQ6BaNazXX0d7eWN99aVp6lmtOmr7Dog7jg4NRSWcgKxM7P/NRW3eglr4NfbceVh39IDQ0qjEU2YmwtMT3bMXas5s7FdeA1c3rIkToFIlOJ1hZj8Au/89pheGbZs+GUmJJnDw8jStiypXRiclokNCnDkY9vMvoL77Fo457qqX8Db/bdcOYo+ZPhmeno4u3WfNCDuqQumzqlQRGwv5MxZ5eaYjd1ycCXASEkzexfbtJlDJzUXlV8vMr1oVHOxYtpVpgrOsbNOf6J230W+9BW5uqOXLTT+ngADsD6eYz8vLg7xcs5QrvBZq9ix0v7sdwYWZ6VHjx0GffugbmmF9+SX2LbeYmaeWN6LWrkWdOmkaBG7bhn70MVRiIqxdi251E9rFQs2fj9Wls+kv0rQp9uqfzWzH9OlY3W5Fd+1mytMuXVLod80sme3ELNoykDU8yjL8HEt+xeUlgYW4qtLwYjy3O9dC/ki9c6ot5atMAjU5zjIa8BXNmUB3znc328biVXqdFUwU8CCXZdT/Wxfvt7CTH6hHSTLPm6z9d/xAA6pwgt8dgUUIKSTgR2lSOYEvrtiOGQocfSE8i9haYdm4kkhJEvEhwJGr8ec8g98JwRWbasSTiA8HCT5nO7sI4xCFG1CuonahwCIXF46c570A66iJPxl4kf239vs7GrKOcLJx5TNu5H5+/lvv+2uKN+nGnWyiEif++uVCiCtqKY14jZ4cIYj9hNKWaB5lGb6cphkHWExjptABq/MtqB9/hBuaoTvebPpVpKSaWYpGjU1zOVcXc/FeqRIq4zT2rFmoBQtM+dE9uyE50XSWDi0D27bB8eOmJ0ZmFqSmYH+/DLVkEer777AXfIl1axczu3DypLlgdndHN2mC2rsX3a4dDBhg1vnXrWcu5DMcF6kBAVhLlpgAwMMD0lLNBX9CApQpg8rMNLMKp0+jfv21oNHd/YNNr4bo6IJmdq6uZlYhKxs0KC8vU3Y3L7fgJObPZORXisoxje4ICTEzFvmvSUyC0NKQmYkuV87MhtzQDO3vD78fQDdoYHJDPDxNnomPD/xxwjTmy8pCd+9uysUOuBd72Q8QH4c1erQ5rvr10f/3uPm3sG1ITkZnZUJYRdRHU9H97zH/Rqmppgnri8+j770PmrfA+uprdOs2qHVrsTt3ggMHTL+KUc+hFn5t8mL8/VH/+xSCQ0wn8YQErH59UJ98bHIqRj+P/T+zBMq6tz9q9kz040+c93culkBe5w5+pC4jWUx/1jmXB4vLQwILcVUl4eNcyvNXvMnmfcfMRvZFJmVl4cbqvxEklOQM7uSSSEm+pyHJf8ot+CdcyeO4YxlVEiWYTwuW0YBdVCCA0yQ6tl2CTFNq8R9KxIfAC9yJiSMAT3LYShUA5vP3yiTvowyL/yL/oYDiOxrSlW1/69U2FomOf/MoquBBziW7k5SNK6/T3bl9IcS1IwdXFJrO7OB1vuAkJahFLOl4MYAHKU0qw/gJKlZE3zfAXCAfPozatw/SUs2F/uFD6IYNICjI9FSoWBF77HisoUPRNWuau+b1G5ggwcUVYmJQyUnmHlRJc/Fsr49ETZuGWrUK+5vFWB07QHCQ6X+Rn79QvoJJiM44jZ41B+vGCPDzQx05bF7jWApk39nHGUzoGjUgKQldsZJp6OfiChUqoG3bNJ/T2ryvWjVITET7lDSzHl5epoJU2bIm2VnbYDsa0VkWZOcUBCRKod3dUS6uJrDIzkb9ccL8uUQJ85OaZpYPdTaFRFTJko6eF5moPNsET01vMPvi7W0CgNKhjkAlB9LTzWxCaChq/37Yvx89YCAcOog19AHTI6NPX2jbFl21qsmp2L8fXbmyCaY+moru29fsS1KymX16+kns+++H5s1RPyxH166DtW6dWcKVlIR67z0zY7E32vz7d+5sXnf0KDq8ppl9mfYRql9fs5ysVi3s5SvQAwailizBat8ONmy44O/eHsozir4cJojX+YISjjxEcelJYCGuG7upcMUuGEuQxTxaXpJtvUsXR2M5yMSdBPxJx5Ns3PiDkmx2LLPaTyi/UeYfb38JjTngKOH7ZxpFLhb7LmK7/8Rawh2Jcn+dxP1nk+h6TlJ4caRQglS8L9n2hBCXTjCpBJDO7wRTl1ge4n7WUIsxfE0g6RygNPqGZrDvNzh1ypQ2rVcP/ANQaWlmqVH5CpCWjn76WXS1aliPP4bdtKnpOdGmrbm4/eMkHDtqilukpKDLV0DFxmJv24F6/VXUxkjsJd9itb7JNHs7edJc4OfZJhH4wYfMEqm161GjRsKBAwVdqx1Liez77sOaOd2ZI6Hi4kzFqaNHoEIFU/FIKdTRI6ijx5yJ3Parr5ueGvmVlAIDzV3/W7vCjz8WlK8t6eNorOeYDVbKkQDtaWZs8svb5perrRDmWO7kSPgubcYFnZQErq4mKbykj1natDHSJG6nppj9SnbMWsTHo2L2omvWNOeyUiWsZ55Gjx1nnt+9G/XBB2a7Y8ehwsPN0ic3N9TKn0z+RmCgyW3p1css8UpMhMBArBEjsIcMhRtuQO3Yji5ZEnXoEFSqjLIUavIH6IiW6KrVUHuisV96CXXyJGrRIrN0Ki8Pte83rG5d4YflZknY8BHY87+EgADUU0/QpcgbXIp1hPM0/QsVAxGXlgQWQpxHPP7sofxfv7DYnxPg7OvxO6WJO8/yrb+SirczMf18nnf07ricbCxephd/lXAuhPjvUmia8jtNOcg6wnmdOziDJw05hEKxlcqmpHVCAmr3HkhOMstmfv8d3aA++Pmjw8MhIcH0uPj6K9SqVab79vwv4IYbTBWiHdtNA7fgYDgWi65RA3U8Fnt3NOrJx1E7d2J/vxyrZYTp5ZCYaJKIT58Gby/st97GemE09s9r4ZdfUO+9a5b9nDrlDCrw9UXlN+21LBPsJCejq1eDEiXQ7h5mGZaHB1SoAEePwJlMs9ypZ09zYbxls3Nb5OSYLtwb1hfkSuQ3u9N/yrFwdy9I4gZTYhZMMjuYPIq0NLOEzM3NdL0uXx4yMrDbtjO5HnFxZhYiJ8d8fmKimTGxLMjNg7h41PffoVveiC5VCjXsIeyfVkF8Aurj2aaviKsr9vSZUL++2UcvL9Ssmdj3P2ByYubPR3e7zcyKnDoFIcFYwx7EfughaNDQVMP644T5d8rLQzdtilq/HpWSjB42DGv6dNNA0NcX9d476DJlTJI7GmvsWNRjj5oqVJUqmUTuh4bRgd1UJb7I30Mt49RlJYGFEP9yV+5LVL6shRDn589pJjAXD3J5hrvZTiXA5NnNpi2j6cNyGrCGcNOVuUF9CAlBHT6MrlcfSvqCpwfUrYv++BPUwq9Nj4qlS8HDE33nXegmTc2F+bFj6Fq1ULt3Q/VqqMREE1R8NBW1fz/28hVYzZqaKk0pKejSpeHkH6ZD9+QPsR4aij1ztulE3e1WdKubTDO4/M7YSmG/9jpqzx5zQVypEhyPBQ8Ps2yrUiWzPKlqVbOMqHx5R+5EprkIz81FpaebZUYuribYAKhTB/XrLhMwaI12dTPLpaBwcOHpaRK6HVWptKUgLQ3d0lFi9vRp04MiIcGU383JQTkSx1VaKio1FdLSzGe5uZmlUG5uJmjy9TMzPenp2P/3f2bGxacEau0aE9A9/ZSpxPTIw6ZcbXAw9htvQaubzN89PbHGj0U/+ph5748rTIlgLy+z1Cw0FGvIEOxhw6BWbbR3CVTUVuyevVBr12JPmGhmqr78EnviG6i5c9E3tTYN9ZYuNZW0mjRFA2rrFqwuneCXX8wSsfsGMJYe9GMD97PK2SxWXFkSWAghhBDiskrBm9e4g4Xc4Fwami8NL7Jx5RF+oC+R6K7dUPsPoKtWg4AAdP16qN9/xx4/ET34AXMRWbUa6vnR2I8+iv5iPmRlobZtQx04gG7WHLVxI4RVRCsL+5ftqDmz4fBh7B9+xGrSyKz/z8iA8uVRx46akqcvvIg1ahT20Afh9tuxIpqb3INq1UzQkJQEgL7zLqxnnzU77+6OcvcwAUrNmmZZkKcXlC6NHvYwoFDr1hUsg3p9LKz52SSBZ2VBCW/TeTu/ytPhI+DuAS4uKKXA3w9dvoIJrMAsk/LwQNt55s+2bZK8Y2OhWbOCHhlubqYiVa9eZp9zc00uxMqV5pj8/eHwEfRdfU2PioAAc+FfobwJdGJizLH9FoN93wCoWxdryAMwajT6xlaQeAr13CjzWU2aoO+5B92pkwku3NxQr72KHjLUBDC7f0W3amWO8cQJKFcO64HB2A8MQVWqiK5VG+ubhdhjXsK6ux/2iy+ZWZS4eOz1G1AJ8aj4OOyx4+DECdTMGegOHQAFGWfMLNSE8ZCXRyI+vEZPfqOMs+miuLIksBBCCCHEZaVRF8x9qko84/mcU/hwkpKonTvRrVqh0GZpU1w89jeLoHZt84bXXsW6uy/2km9h4CDTjXtvNMTsRd9wg7m7XioIXb48es1a1JQpEB2NHj8Bq1EDc5Gfl2ea5u3fD75+6Lv6wMqV6Iph8PIrqCf+D44dw544EfX116YakmWZZU4uLpDrSKhu1AiOH4eSJc0MSZWqcDzWlJN94XlzAZyTY5K03d2hQ0fUpk3mAlspKBWEOh4HNcPNsWVmmq7arq7o3Bzw84ewCgWdtsGUcc0rCCy0ZZkZkypVzD55eEBaugmWQkzFP3XsGLpsWUhLw77tNrP06+gRCCpl+mFkZICyTIUof384fAhr/Djsl181uRP+AeDqgnp+NHqaI69k82ZYvsz8+w4YCFWqolu2NDkfeXmo6dPMeT140Gy3SVOzb/HxUKEC1tAHsAcMRHm4o+vXx3rtVexZs7AG3Ifdrx8qeo8p9bvqZ3SLCKypU7CnfIQuVw7rtVdNtaty5Uwi+08/Yt3WjVBM8LeOcH6m9qX/RRZ/SQILIYQQQlwVd7OO/qxnL2W5hV2k4G0upMuVM8t72rVDv/+BI7E6D9W5E9bnc7H3/maWKvW6A/3HCdShQ+jq1VFRv5ilUS1bor9ZhHrnHTh0ED12nAkqLBe0hye6dChq717w90c3aoQuE4ravh299DtYvQo1bZrJ41i8GO1iFfSf+PQzk8+Rk2NmJ06eMpWjaoabZUTe3mY25IZmqN9iUHt2m33PyoKWLc1sy+jnYdVKADNTkJ6G3bePCTYwS5x0iRKozExz5x5VsBTKshxJ5I7O31pDZhbq2DEz0+DtbZZKZWfB6XRUbKz5/JMnzdKsvDzz2B8nzJKsyA2m9GxaGgQGQFw8hFU05XaPHjX5KqVD0d17QOnSqHmfQ3w89rvvoU4kYL3yimO/Qb/xpqlAVaGC2c/kZPh5NbrjzahNm9AlS5qlYO7uEBdnEsMfHIp9510owL75ZqyhQ7C/+AJr9HMmKHJzRw17CP3Ou+gxL2G99grceRf62ZGoJYth2y/oNm1MP4+kREbzDZ3YwcUUEhGXhgQWQgghhLgq9lOaEmRSliS2UhlXbHTbtqZq09Rp0NMs5SE2Fqt6VShVCnvXbtizB2vQQEhKRqWlo/38UfHxkHkG3bcvevoM1BsT4UQC+rXXsZqangs6IADl5Yn6LcZc1IeWQQ97GOutt7AjN0JaGlaP7uh77jUXwCkpqJMnAdCdO2M9Otxc0FsWunlzSIiH4GDUL1FQowYcPYL+v8dRY183Cd+7d5uLf62xXx9njiU31+yrmzvKcnTv7tMPVq40MxW2qUxFRoapxOQIaoCCPhaWAldH0Y6M02bWBCAoCDDbVKdPo6L3mKBHa5SjM7j6YTnUDEdXrAgJJ+CBIWYfNKbUbVKiqXJ15Ahq6hT0M89izZ6F7ngzun4DrAH3QvsOpmpUSgrWww+Z/XN3N8nclauYffTxMXkkWVkQEYFa9A123boQXss8f/w4VK2K9cjD2J26oGyN7tkTq28f7E8+xZo/HzZFou+4A6t3T3SnztgLF6EWL0Zt2oi99Dvz7zN+HPr27uDuQR6KFuzDBfsK/QaLP5PAQgghhBBXXEtiuIMoJnMLKXijsfiY1pCUjL1wEVR0NPxctgyrYQPsZ0aiP5uLmvc51isvm4Trkj4mv8KRZ2A/9TT69bGosa9Dejr6lVdRzW8wTd/CwlBZmXDkiOlJ4emJPX0G1n33mGVVpUphtWgG5cqZYGTsWNRPP5p98PREd7nVLOPJzjYlbQ8eNNutWtWUjPX0NDMiffqivv7KLKvy8DA9Kjw8TA4EmH4LjnKy2sPTBAtly6LWrwNAZWWhSpQw/SvyE7TLnVWl0MXVEWCYXhbqTKbpfwHoWrUAbWZ7HAENffuaZPC8PBN4JCVh9+mDQkHccdTyZRAQYAKKgAA4HgeVK5tjjo1FzZuH7t3bLPfKzDTB3IeT0e++ZwKEU6dQU6eafQsNxX71NXT7DiYwCgg0/SgaNkK/OAZr6lTs2283eSsuLma/a9TAevwxdPMW4OaO7tsPq19fk4+SkID16ivYr43F6n83APbadZCXh/V/j2J/twxdowbWyGfR5cpynAC8yOZlvqQUaZf7V1ichwQWQggh/nUSExPp378/vr6++Pv7M3jwYNLT04t8T2ZmJo888gilSpXCx8eHXr16kZCQUOg1SqlzfubNm3c5D+VfaydhzKQNj7GM9dRgCjezizD0q6+ZC1aAF1/AGjQAe/lyGDoU9dIYWLQIDh9Gh9eCQ4fQtWvBr7uwJ70Njz6GeuVlMzvx4hhUyxaotDR0eG2zBCgx0ZkobX+1EOu2rmYmoVkz1PCHTeWjlatRj/+fuRA/cwZcXEwjvaeeNPvk5oauVdsEGWFhqC1bzL7EHkPfey8s+sY0hVu0yMw8ZGaiO3V2Hrf64D0TGASHoBLinf0s1M4d5mI7K8sEIrk5ZnYjJxv8zkrednMx+RD5S6G0jYqPM883b2FmOHJzUa6u6MBSpuyti4tJbK9f38xm7NkDp06Cpxf6jz+wX3jRfK53CbPMKynJ9IaIjUV9tQDdq7fpkP3YY+j69VGT3oLUVOwpU01p2i8+hz17zD5EREDnzuh77jHBSmAg6t130FWrYW+NwpowAfvBYSZ4UZYpixsejvXs0+gqVSAwEN37TqxHhplqX/XqY93RA/uDyVjPPwcb1pvmeJ06Yd17DzzxlJklWriQxhziK25gOu0ZxSJuJOYK/CaLs0lgIYQQ4l+nf//+7N69mxUrVrB06VLWrFnD0KFDi3zP448/zpIlS1iwYAE///wzx48fp2fPnue8bvbs2cTFxTl/evTocZmO4t+tDsfoz3peoRdbHY1CnXJzsdq3w1r0DfZv+yG8FmrAfaYT984d6PbtUevXmTKkq1djf/wp9Lsb9eILJj/gudGoNq1RJ0+iGzdG7d4FObnmQlwp7NkfYw15wFQyGjoUli1DffyxyatYvsz0ZNiwHsD0l5gwztm4TterZxq7ZWebik2lSoGHu3nu4UewJozHvquPuWOfZu6a61dedR6aWrPGPBZUCo4fRzdrbp44fLigh4VPSZM3kHHazEpkZRUsg3JxM9W9LcclXHaOeQ8UJE9blgmKABVnkstJTDRJ34D67lt0s+amLO+BA2ZplqurycUIDIDYWHSVqiZn4/Bh1KS3sEc/b6pK+fqaqlz3D4QWLdC33w4nT5plYlmOnhpDHwRXN+w+fU0w51MS697+kJ2DvWoV1lNPYE96BypVLKiGVbsO1osvoEv4QI2a6K7dsMa+bmZBhg3DanOTKfO7ZAnq7UnoN94yyfWvvmxmYb5fRkkyeZYlnMCXUfSlGvG4k3Npf3FFkSSwEEII8a8SHR3NsmXLmDFjBs2bN6dVq1a8//77zJs3j+P5a9H/JCUlhZkzZzJp0iTat29PkyZNmD17Nhs2bGDjxo2FXuvv709oaKjzx9NTuvhejG1U5mV6mYTtsx05glW1MrpSRewduyA9Hat3T3OnfdNG9B09TZ+DXr1RixebtfadOpkO2f7+JrH35o6o2GOmY/PGTehu3eB0ugk6XnoFtWA+ZGehp82AU6ew+t5lKhtVq46a/wXqiy8cswrB6P73oH7+2VEetgTK29tUYapV2/TcqFsPlZBguk7HxZmlQRs2mLv/aWlQwqegolVysrNClLJtU+p1wEDz3JkzBWVnXV1Mt+yUFBNMZDoCC1dXswQKTI6FUqY/Rn4ORs1wM2Ph52eSuhMd3cvr1oPcXLSbu0kyP3UKfe99ZsYkJQW1YQO6/z3mHAUGwpkzKEfHbE6dQkVtNRWvTp5EDxho+vPFxMA336Bfe91Uy8qzUc+PNvuhFPqdd7FOnTSd1DNOg7s7VquWEFgKe/UarJfGmJyM8uVNbsfhQ9CgAda419HpaXDTTeg2bVBfzENF78Ge+hFWh/boHneYGZihQ6BrN+zFS1GbNmG98DzDuJ+jlOI15pODCx/ThuwiGsiKS08CCyGEEP8qkZGR+Pv707RpU+djHTt2xLIsNm3adN73REVFkZOTQ8eOHZ2PhYeHExYWRmRkZKHXPvLIIwQFBdGsWTNmzZpl1rIXISsri9TU1EI/ArJx5c+NNSOIwWrSCPulV9Cz5sD27Vj33I1WFmrXThNMzJyB3acP1pdfYq9bb5YxffY/k4j95FOoN99A/X4A3bo1auVP2K+PRX35JZQsie53N9qyUN8sxF67HrQ2eRUVKqAnvW3uuqekmmVILi7YCxdhde1iliaBSViOizezE4EBEBxsLvgzMtBPP4N6YTT61q6ojZEm/yM7G93zjoID/Gah+a+vL9rb2wQEt9xiAg7bNvkTLi5oF9eCrttKmSpPYP6c36jP0/S7IDfX/D072yR7u7uj3d3N46dPm317913z/pQUdNOmpmle5AYTyJQtiz6Tge54s/m8kydNQBF3HF2tuqlMlZyCevUV9Otjsd59G939DnSbNljPPg2ZmdgzZpmmgLt3w48rzGd5emJ/NN3ki5QKMvtu21j160LFitjjxmONHoU9c5bpXG7bcOB3aNAQa9JbsO83dO87oUFD2LXL5Gd8vxxr4H2ms3mPHibgDAzEXrMW7e/PayxgJu3YQlVGsQgvsi7Tb6+4EKX/6htRFFtqaip+fn7cyDO44nG1d0cI8R+QSxbrmUhKSgq+vr5Xe3euqLFjx/Lxxx8TE1N4fXVISAgvv/wyw4YNO+c9c+fOZdCgQWRlFb4QadasGe3atWPChAkAvPrqq7Rv3x5vb29++OEHxowZw8SJE3n00UcvuD8vvfQSL7/88jmPy5hQWFt+5RFW8Ax3c5DS3EgMPdiKF5l4kksUlbiFX1lBXdqzhwd5gFM4OlObXsy0YQ+3E8Vx/LmRfbxNZ57ge07jzn5C+YRWvMv/GMoDxBHAMyziJmK4j4e5jV/w4Qw92Uoe8CP1OElJ+hKJC3mk4M0JSlKJU+yhLHWJZTNV8OUMp/DlDW5jKjNYQT16shmFpiSZ3M1wTuAPwIfMoAp/cJAgUvGiIUfoxHPcyF4e5ztS8KYUaWylKtWI5ziB2CjKkkR5TnGMQFZRh9bsJQ9FeRI5gzs7CWM6HYjHnzlMwcbGm1yOEEQSJfiUm5jCDDQWOyjPjewnDl8+ozVViaMLO9lKFcpzigokcpAgKnGSQwTjTRZ+ZLCdSsygPe3Yw35C6E4UJcjkCMGMpzv9WcvN7OIkvjzL3c5GiA04zO1spRUxJONJKTKII4ABDKMyJzhCEOU5xXMsohSp5OLKEUoRznG+oyGbqM7tROFJNoGcZhR3MYXZrKEWS2nMoyzjPTpxiBAG8DNVOMFr9KQmxxnIz3zALRyk9NX4lb6mXKkxQWYshBBCXBdGjhx53uTps3/27t17WffhhRde4MYbb6RRo0Y8++yzPPPMM7zxxhtFvmfUqFGkpKQ4f44ePXpZ9/F6Y2EzmFXU4xj9eJSDjhK0rdiLH6fRKL6lEW3Zy2RupgKnuI9hZwUVAAp3cmnAEd6lE2VJ4in68hjL2UJlkvHhDboxji94jR7EEUBZTtKWvbxET0JJoTyniOA3TuBDGl5MoSN3s4FTeJOHCzNoRyZuaBQ2ipOU5HdKk4U7n3ITXmQxkdu4le0cIwA3cjlJSWdQAZowTpGEF1FUwZssdlIBMBffeVgoIAMP8rA4RLDz6P6PexydGRQ2FhaabFzIwZV0PEiiBMGYmbDj+OOCxp1cfiacgwRzGg9+oTJeZOOGzWFKsZrarCGcYNLIxpXDBDGGXljY+JJJAr6UIJOjBJGFKyGkMJCf+ZyW9GQrH9OaeAJoyGEqcJLPuZEUvMlDkXfWTNQOKhJNeT7mRnzIZi+hlCGJ5/maA4SSgysHKc2bdOMkvriQizdZLKAFXdjBTUQznu48S3/2EcpoFnM/Q2nIYdrxKy/TkwdZSQv2MYe2LKUxr/EFCfjxKj0ZzGpCSb58v8CiEAkshBBCXBeefPJJoqOji/ypUqUKoaGhnHA07cqXm5tLYmIioaGh5912aGgo2dnZJCcnF3o8ISHhgu8BaN68OceOHTtnpuNsHh4e+Pr6FvoRBRTwK+V5n87k4gLAaTzJwZWTlORp7uEH6jGHm4hgPy9yFxmcm9eSjSvv0ZlQUnmXLrzGl/xEHUpxmlH0YQQ/8Bbd2ER13MjlNb5kKY2Iohp3sIUkvHEBfMjmZXrxNEvZRXnS8OY4gcRSihDS2UB16hHLS/TiG27gDO4cJIRESnKSkvhyhu1UIg8XPqJgaV05EnEjj3S8WEpjAjjDTNoDUJ0EFCYoSKQEObiwlMZnHZ1FHi5ocF64n8aD+TTnDB7spRxBjvKqMZTFFc06arKNyoSQRhI+fEYrLGyycWMaHZjOzaTjRS6urKMmFTnJUUI4hQ8lyCINL7zIJoDTnMEDX86QRAlqEMcSGlOfo6TixWYqU514bCwmcjshpHI7UYX+bb6kGWEk8xZdiaQmeynDjfxGbwryl2Ioy/t0ZiM1KU0qDTjMJLrQmIM8yvcATOR2ZtOGF1jEE9xDNm70ZwMvcCetiKEPkWymKu/QhWdZQiX+4HnuIt4Z3InLTQILIYQQ14Xg4GDCw8OL/HF3dyciIoLk5GSiogoublauXIlt2zRv3vy8227SpAlubm789NNPzsdiYmI4cuQIERERF9yn7du3ExAQgIeHLGm6WHlYbKL6WY9o7mEtObjwPH3IxJ1g0qhFHK/Tgxxci9zedioxjB/5mJuoygkm0RWNRRSV2Uw1AJrwO3/gy1THhf//aElndvIaPRjOQI4TSBDpPM09pOHNG3TlflbhTTabqcYy6rOPsjTldxZyg/Ozh/ITaXiSh2IzVVlFHedzndlOOp4M537S8cSNPA44luhk4E4uFul4spOK5GGRgTuZuHEGd1yw+Z3SaBS5WGgsLCCeANzI4yQlnTMWu6iAB7lsojrHCaAEmQD8RhnO4MopfGjG7879Wk59tlKF2sTiSh4f0QEPcihJJnH4o4HDBHMaTxIpwT2sYxW1qMcRFnID5UmmK9soyRliCWQhTbmDrZTn1Fn/Koq3uRVvcviMmxjJ3RwiiP2EFPq320UYb3Ab0+hAeU7RkCMM4kGqkcAgVgOwk4pMoQMv8jXfcAPf0JQcXHmDbgDUJI7jBDKau6hKAn/O4xGXlwQWQggh/lVq1apF586dGTJkCJs3b2b9+vUMHz6cvn37UrZsWQBiY2MJDw9n8+bNAPj5+TF48GCeeOIJVq1aRVRUFIMGDSIiIoIWLVoAsGTJEmbMmMGvv/7K/v37mTJlCmPHjmXEiBFX7Vj/bVzI4wm+Iws33qcTtuMy5RAhTOJW598vRKF5hsUs5AbiCGQObYglkHQ8WUF95+s2UoNnuRsbC4VmPF8whZvZQwWOEEwp0nmTrs6L/yDSCSGV5dTnAKWZ4ZhpWEF9tlPJsVVNKdL5mJv4mLa8wW2F9q09e9hMVbJwoxbHWUBzZ5A0g3a4oHmT25hGR9zJIwdXkvHmAzqRgyubqMoWqpCMD5upwgFKk44HCs1eyvANpljBQULIwpXKnAAU4+jhPDsHKEMYpyhHIjgWV22iOqupwz5C8SaTldQjFU88ySULN7ZRER+ymE8LGnCUaMpxEzFM4lbi8OcH6nOQYIawEoDFNOUEJXmGJYU6YGfh5pyFSceLV+jFPWzAk+xz/h2X04BPaEMlTjKUVQzhATSK+1jjOMbSvEwv0vEglkDn8X1BBDGY/8czcecrzn8jQVw+RYf9QgghxHXos88+Y/jw4XTo0AHLsujVqxfvvfee8/mcnBxiYmLIyMhwPvb22287X5uVlUWnTp348MMPnc+7ubkxefJkHn/8cbTWVKtWjUmTJjFkyJAremz/Vt5kMYpFrKAea6h1nlf89Z3nQaxmK1WdMxN/x2BW8Qe+LKOh87HfKOP88zTa8z6z8SCPWbS9YPnS2sTyKxVYRiOAQq9zJQ9PcphNG8Ac63YqOp/3Jpss3JxLwY4RSBZuHCbYWY73U1oDEEwKSZQgiipUJZ5s3ChJFn9gltgl4cN8IqjP4XP2cQlNcCOHKpykIic5fFYexyj6Of+8mKbcThQLuYG11KYEmZzGkzS8qMFxuhPFWsIBxXLq05Y9HMMfXzJIxZs3uI0HHHkP66l53vMVSyn+RyueYQmv0hP9p3/fpTTmMEHU5DjNOcAc2hDGH87nU/9cplhcEySwEEII8a8TGBjI3LlzL/h8pUqVzikT6+npyeTJk5k8efJ539O5c2c6d+583udE8d1IDJ/Tkj2Uv+htzCeC9PPkX1yIN1nU4Rgj6XvB15QgixS8WUt4kT0RbmLvn/IiCniSxe+EOBO5f6Z2oecrkMjis977Ga0AOELQOdv6Az/+wHTrPkAoW6iCH6edgQXAIprSgn3nvPcXKjGUlSyiKb6cueCxfE0zOrKb3xx3/087zmkk1enBVsZxG/mBnkbxER0oQZbzYv8kvox3zpRc2HYq4UoebuSe99zuIoxdhDn/fuSsQEhcmySwEEIIIcRVd/ZSpYv1T4IKgGGsYDZtOFNE2d9Ux3Kkv0oA/ogOXGhWJR1vnuaeC773EEGcLFTl6u/bTFXS8Trn8TwsXMlzzoIAJFKSQE4TTdkL7qvZXy/Gczs3s4v/cdNZz5jlRncQ5VwOBmb51cU6p+u6uK5JYCGEEEKI/5zm7CMDD3aetSTpQmIp9Te2ePFJwnspd9Hv3e0oWftnq6mN91mzCPlWUBdPcsjEvcjt7qEc0efZr1+oTC82EUA6Sfhc9H6LfydJ3hZCCCHEf04Ap5lJ26u9G5fNj9Q7bx7CCur/ZVBhqHPyHvJ9Riv6s76Yeyj+jWTGQgghhBD/OWcna4t/Zg/lSTnP8ishZMZCCCGEEEL8I39veZj4r5HAQgghhBBCCFFs101gkZiYSP/+/fH19cXf35/BgweTnp5e5HsyMzN55JFHKFWqFD4+PvTq1YuEhATn83PmzEEpdd6fEydOALB69erzPh8fH39Zj1cIIYQQQojryXUTWPTv35/du3ezYsUKli5dypo1axg6dGiR73n88cdZsmQJCxYs4Oeff+b48eP07NnT+XyfPn2Ii4sr9NOpUyfatGlDSEjh0mkxMTGFXvfn54UQQgghhPgvuy6St6Ojo1m2bBlbtmyhaVPTsv7999/n1ltv5c0336Rs2bLnvCclJYWZM2cyd+5c2rc3tZZnz55NrVq12LhxIy1atMDLywsvr4Lkoz/++IOVK1cyc+bMc7YXEhKCv7//5TlAIYQQQgghrnPXxYxFZGQk/v7+zqACoGPHjliWxaZNm877nqioKHJycujYsaPzsfDwcMLCwoiMjDzvez755BO8vb3p3bv3Oc81bNiQMmXKcPPNN7N+vZRYE0IIIYQQ4mzXxYxFfHz8OUuPXF1dCQwMvGCuQ3x8PO7u7ufMMpQuXfqC75k5cyZ33313oVmMMmXKMHXqVJo2bUpWVhYzZsygbdu2bNq0icaNG593O1lZWWRlZTn/npqa+ncOUwghhBBCiOvWVZ2xGDly5AWTp/N/9u7de0X2JTIykujoaAYPHlzo8Zo1a/Lggw/SpEkTWrZsyaxZs2jZsiVvv/32Bbc1btw4/Pz8nD8VKpy/K6YQQgghhBD/Fld1xuLJJ59k4MCBRb6mSpUqhIaGOqs05cvNzSUxMZHQ0NDzvi80NJTs7GySk5MLzVokJCSc9z0zZsygYcOGNGnS5C/3u1mzZqxbt+6Cz48aNYonnnjC+ffU1FQJLoQQQgghxL/aVQ0sgoODCQ4O/svXRUREkJycTFRUlPPCf+XKldi2TfPmzc/7niZNmuDm5sZPP/1Er169AFPZ6ciRI0RERBR6bXp6OvPnz2fcuHF/a7+3b99OmTJlLvi8h4cHHh4ef2tbQgghhBBC/BtcFzkWtWrVonPnzgwZMoSpU6eSk5PD8OHD6du3r7MiVGxsLB06dOCTTz6hWbNm+Pn5MXjwYJ544gkCAwPx9fVlxIgRRERE0KJFi0Lb/+KLL8jNzeWee+4557PfeecdKleuTJ06dcjMzGTGjBmsXLmSH3744YocuxBCCCGEENeD6yKwAPjss88YPnw4HTp0wLIsevXqxXvvved8Picnh5iYGDIyMpyPvf32287XZmVl0alTJz788MNztj1z5kx69ux53nKy2dnZPPnkk8TGxuLt7U39+vX58ccfadeu3WU5TiGEEEIIIa5HSmutr/ZO/Nulpqbi5+fHjTyDK7JESghx+eWSxXomkpKSgq+v79XeHXEWGROEEFfalRoTros+FkIIIYQQQohrmwQWQgghhBBCiGKTwEIIIYQQQghRbBJYCCGEEEIIIYpNAgshhBBCCCFEsUlgIYQQQgghhCg2CSyEEEIIIYQQxSaBhRBCCCGEEKLYJLAQQgghhBBCFJsEFkIIIYQQQohik8BCCCGEEEIIUWwSWAghhBBCCCGKTQILIYQQQgghRLFJYCGEEEIIIYQoNgkshBBCCCGEEMUmgYUQQgghhBCi2CSwEEIIIYQQQhSbBBZCCCGEEEKIYpPAQgghhBBCCFFsElgIIYQQQgghik0CCyGEEEIIIUSxSWAhhBBCCCGEKDYJLIQQQgghhBDFJoGFEEIIIYQQotgksBBCCCGEEEIUmwQWQgghhBBCiGKTwEIIIYQQQghRbBJYCCGEEEIIIYpNAgshhBBCCCFEsV03gUViYiL9+/fH19cXf39/Bg8eTHp6epHvmTZtGm3btsXX1xelFMnJyRe13Z07d3LTTTfh6elJhQoVmDhx4qU8NCGEEJfY1RwzhBDiv+q6CSz69+/P7t27WbFiBUuXLmXNmjUMHTq0yPdkZGTQuXNnnnvuuYvebmpqKrfccgsVK1YkKiqKN954g5deeolp06ZdsmMTQghxaV2tMUMIIf7LlNZaX+2d+CvR0dHUrl2bLVu20LRpUwCWLVvGrbfeyrFjxyhbtmyR71+9ejXt2rUjKSkJf3//f7TdKVOmMHr0aOLj43F3dwdg5MiRfPPNN+zdu/dv7X9qaip+fn7cyDO44nERZ0AIIf6ZXLJYz0RSUlLw9fW92rtzRV3NMePvkDFBCHGlXakx4bqYsYiMjMTf39/5RQ7QsWNHLMti06ZNl3W7kZGRtG7d2hlUAHTq1ImYmBiSkpIu+rOFEEJcHldzzBBCiP8y16u9A39HfHw8ISEhhR5zdXUlMDCQ+Pj4y7rd+Ph4KleuXOg1pUuXdj4XEBBwznazsrLIyspy/j0lJQUw0aIQQlwJ+d8318Gk9CV3NceM85ExQQhxtV2pMeGqBhYjR45kwoQJRb4mOjr6Cu3NpTNu3Dhefvnlcx7fxLtXYW+EEP9lp06dws/P72rvxiVxvY4ZMiYIIa4Vl3tMuKqBxZNPPsnAgQOLfE2VKlUIDQ3lxIkThR7Pzc0lMTGR0NDQi/78v7Pd0NBQEhISCr0m/+8X+uxRo0bxxBNPOP+enJxMxYoVOXLkyL9mgL+UUlNTqVChAkePHv3PrQX/K3Juiibn58JSUlIICwsjMDDwau/KJXM9jBnnI2PC3yf/TxdNzs+Fybkp2pUaE65qYBEcHExwcPBfvi4iIoLk5GSioqJo0qQJACtXrsS2bZo3b37Rn/93thsREcHo0aPJycnBzc0NgBUrVlCzZs3zLoMC8PDwwMPj3IQ8Pz8/+WUvgq+vr5yfC5BzUzQ5PxdmWddFKt3fcj2MGecjY8I/J/9PF03Oz4XJuSna5R4TrosRp1atWnTu3JkhQ4awefNm1q9fz/Dhw+nbt6+zCkdsbCzh4eFs3rzZ+b74+Hi2b9/O/v37Adi1axfbt28nMTHxb2/37rvvxt3dncGDB7N7926++OIL3n333UJ3n4QQQlw7ruaYIYQQ/2n6OnHq1Cndr18/7ePjo319ffWgQYN0Wlqa8/mDBw9qQK9atcr52JgxYzRwzs/s2bP/9na11nrHjh26VatW2sPDQ5crV06PHz/+H+17SkqKBnRKSspFHfu/nZyfC5NzUzQ5Pxf2Xz83V3PM+Cv/9X+bosi5KZqcnwuTc1O0K3V+rpvA4nqWmZmpx4wZozMzM6/2rlyT5PxcmJybosn5uTA5N9cu+be5MDk3RZPzc2Fybop2pc7PddEgTwghhBBCCHFtuy5yLIQQQgghhBDXNgkshBBCCCGEEMUmgYUQQgghhBCi2CSwuEQSExPp378/vr6++Pv7M3jwYNLT04t8z7Rp02jbti2+vr4opUhOTr4k273WXMwxZGZm8sgjj1CqVCl8fHzo1avXOY0KlVLn/MybN+9yHsolMXnyZCpVqoSnpyfNmzcvVO7yfBYsWEB4eDienp7Uq1eP7777rtDzWmtefPFFypQpg5eXFx07dmTfvn2X8xAuq0t9fgYOHHjO70nnzp0v5yFcNv/k3OzevZtevXpRqVIllFK88847xd6m+HtkPLgwGQ8Kk/GgaDIeXNg1Ox5c1tTw/5DOnTvrBg0a6I0bN+q1a9fqatWq6X79+hX5nrfffluPGzdOjxs3TgM6KSnpkmz3WnMxx/DQQw/pChUq6J9++klv3bpVt2jRQrds2bLQa3CUgYyLi3P+nDlz5nIeSrHNmzdPu7u761mzZundu3frIUOGaH9/f52QkHDe169fv167uLjoiRMn6j179ujnn39eu7m56V27djlfM378eO3n56e/+eYbvWPHDn377bfrypUrX/Pn4nwux/kZMGCA7ty5c6Hfk8TExCt1SJfMPz03mzdv1k899ZT+/PPPdWhoqH777beLvU3x98h4cGEyHhSQ8aBoMh5c2LU8HkhgcQns2bNHA3rLli3Ox77//nutlNKxsbF/+f5Vq1addyAp7navBRdzDMnJydrNzU0vWLDA+Vh0dLQGdGRkpPMxQC9cuPCy7fvl0KxZM/3II484/56Xl6fLli2rx40bd97X33XXXbpr166FHmvevLl+8MEHtdZa27atQ0ND9RtvvOF8Pjk5WXt4eOjPP//8MhzB5XWpz4/WZiDp3r37ZdnfK+mfnpuzVaxY8bwDSXG2Kc5PxoMLk/GgMBkPiibjwYVdy+OBLIW6BCIjI/H396dp06bOxzp27IhlWWzatOma2+6VdDHHEBUVRU5ODh07dnQ+Fh4eTlhYGJGRkYVe+8gjjxAUFESzZs2YNWsW+hqunpydnU1UVFSh47Isi44dO55zXPkiIyMLvR6gU6dOztcfPHiQ+Pj4Qq/x8/OjefPmF9zmtepynJ98q1evJiQkhJo1azJs2DBOnTp16Q/gMrqYc3M1tilkPCiKjAcFZDwomowHF3atjweuF7UHopD4+HhCQkIKPebq6kpgYCDx8fHX3HavpIs5hvj4eNzd3fH39y/0eOnSpQu955VXXqF9+/Z4e3vzww8/8PDDD5Oens6jjz56yY/jUjh58iR5eXmULl260OOlS5dm7969531PfHz8eV+ffx7y/1vUa64Xl+P8AHTu3JmePXtSuXJlDhw4wHPPPUeXLl2IjIzExcXl0h/IZXAx5+ZqbFPIeFAUGQ8KyHhQNBkPLuxaHw8ksCjCyJEjmTBhQpGviY6OvkJ7c225Fs7NCy+84Pxzo0aNOH36NG+88cY1O5CIq6Nv377OP9erV4/69etTtWpVVq9eTYcOHa7inonrybXwnXetuhbOjYwH4u+Q8eDyk8CiCE8++SQDBw4s8jVVqlQhNDSUEydOFHo8NzeXxMREQkNDL/rzL9d2L4XLeW5CQ0PJzs4mOTm50F2qhISEIo+7efPmvPrqq2RlZeHh4fG3j+VKCQoKwsXF5ZxqJkUdV2hoaJGvz/9vQkICZcqUKfSahg0bXsK9v/wux/k5nypVqhAUFMT+/fuvm4HkYs7N1djmv5mMBxcm48E/J+NB0WQ8uLBrfTyQHIsiBAcHEx4eXuSPu7s7ERERJCcnExUV5XzvypUrsW2b5s2bX/TnX67tXgqX89w0adIENzc3fvrpJ+djMTExHDlyhIiIiAvu0/bt2wkICLgmBxEAd3d3mjRpUui4bNvmp59+uuBxRUREFHo9wIoVK5yvr1y5MqGhoYVek5qayqZNm4o8V9eiy3F+zufYsWOcOnWq0MB7rbuYc3M1tvlvJuPBhcl48M/JeFA0GQ8u7JofD/5Rqre4oM6dO+tGjRrpTZs26XXr1unq1asXKqF37NgxXbNmTb1p0ybnY3FxcXrbtm16+vTpGtBr1qzR27Zt06dOnfrb270eXMy5eeihh3RYWJheuXKl3rp1q46IiNARERHO5xcvXqynT5+ud+3apfft26c//PBD7e3trV988cUremz/1Lx587SHh4eeM2eO3rNnjx46dKj29/fX8fHxWmut7733Xj1y5Ejn69evX69dXV31m2++qaOjo/WYMWPOW17Q399fL1q0SO/cuVN37979ui4veCnPT1pamn7qqad0ZGSkPnjwoP7xxx9148aNdfXq1XVmZuZVOcaL9U/PTVZWlt62bZvetm2bLlOmjH7qqaf0tm3b9L59+/72NsXFkfHgwmQ8KCDjQdFkPLiwa3k8kMDiEjl16pTu16+f9vHx0b6+vnrQoEE6LS3N+fzBgwc1oFetWuV8bMyYMRo452f27Nl/e7vXg4s5N2fOnNEPP/ywDggI0N7e3vqOO+7QcXFxzue///573bBhQ+3j46NLlCihGzRooKdOnarz8vKu5KFdlPfff1+HhYVpd3d33axZM71x40bnc23atNEDBgwo9Pr58+frGjVqaHd3d12nTh397bffFnretm39wgsv6NKlS2sPDw/doUMHHRMTcyUO5bK4lOcnIyND33LLLTo4OFi7ubnpihUr6iFDhly3F87/5Nzk/3/15582bdr87W2KiyPjwYXJeFCYjAdFk/Hgwq7V8UBpfQ3XYxNCCCGEEEJcFyTHQgghhBBCCFFsElgIIYQQQgghik0CCyGEEEIIIUSxSWAhhBBCCCGEKDYJLIQQQgghhBDFJoGFEEIIIYQQotgksBBCCCGEEEIUmwQWQgghhBBCiGKTwEKIa1BMTAyhoaGkpaUVazstWrTgq6++ukR7JYQQ4kqT8UBcTySwEOIyyMvLo2XLlvTs2bPQ4ykpKVSoUIHRo0cX+f5Ro0YxYsQISpYsWaz9eP755xk5ciS2bRdrO0IIIS6OjAfiv0RprfXV3gkh/o1+++03GjZsyPTp0+nfvz8A9913Hzt27GDLli24u7uf931HjhyhWrVqHDx4kHLlyhVrH/Ly8ihXrhwzZ86ka9euxdqWEEKIiyPjgfivkBkLIS6TGjVqMH78eEaMGEFcXByLFi1i3rx5fPLJJxccRADmz59PgwYNCg0ic+bMwd/fn6VLl1KzZk28vb3p3bs3GRkZfPzxx1SqVImAgAAeffRR8vLynO9zcXHh1ltvZd68eZf1WIUQQlyYjAfiv8L1au+AEP9mI0aMYOHChdx7773s2rWLF198kQYNGhT5nrVr19K0adNzHs/IyOC9995j3rx5pKWl0bNnT+644w78/f357rvv+P333+nVqxc33ngjffr0cb6vWbNmjB8//pIfmxBCiL9PxgPxXyCBhRCXkVKKKVOmUKtWLerVq8fIkSP/8j2HDx8+70CSk5PDlClTqFq1KgC9e/fm008/JSEhAR8fH2rXrk27du1YtWpVoYGkbNmyHD16FNu2sSyZpBRCiKtBxgPxXyC/VUJcZrNmzcLb25uDBw9y7Nixv3z9mTNn8PT0POdxb29v5yACULp0aSpVqoSPj0+hx06cOFHofV5eXti2TVZWVjGOQgghRHHJeCD+7SSwEOIy2rBhA2+//TZLly6lWbNmDB48mL+qlxAUFERSUtI5j7u5uRX6u1LqvI/9ueJHYmIiJUqUwMvL6yKPQgghRHHJeCD+CySwEOIyycjIYODAgQwbNox27doxc+ZMNm/ezNSpU4t8X6NGjdizZ88l249ff/2VRo0aXbLtCSGE+GdkPBD/FRJYCHGZjBo1Cq21M1GuUqVKvPnmmzzzzDMcOnTogu/r1KkTkZGRhap5FMfatWu55ZZbLsm2hBBC/HMyHoj/CgkshLgMfv75ZyZPnszs2bPx9vZ2Pv7ggw/SsmXLIqfAu3TpgqurKz/++GOx9yM2NpYNGzYwaNCgYm9LCCHEPyfjgfgvkQZ5QlyDJk+ezOLFi1m+fHmxtvPss8+SlJTEtGnTLtGeCSGEuJJkPBDXEyk3K8Q16MEHHyQ5OZm0tDRKlix50dsJCQnhiSeeuIR7JoQQ4kqS8UBcT2TGQgghhBBCCFFskmMhhBBCCCGEKDYJLIQQQgghhBDFJoGFEEIIIYQQotgksBBCCCGEEEIUmwQWQgghhBBCiGKTwEIIIYQQQghRbBJYCCGEEEIIIYpNAgshhBBCCCFEsUlgIYQQQgghhCg2CSyEEEIIIYQQxfb/Rft40617wjIAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# -- plot resuts : only use last step\n", "fig, axes = plt.subplots(1, 2, figsize=(8, 4), tight_layout=True)\n", "\n", "# exp zone\n", "X, Y, Z, pos_xy, pos_xz = gen_grid(Lx, Ly, Lz, l)\n", "exp_zone = oven | tube\n", "axes[0].pcolormesh(X, Y, exp_zone.get_value(pos_xy), cmap=\"Purples_r\")\n", "axes[1].pcolormesh(X, Z, exp_zone.get_value(pos_xz), cmap=\"Purples_r\")\n", "\n", "# trajectories\n", "tags = res.tags.T.reshape(-1)\n", "y_last = res.y_last.T.reshape(6, -1)\n", "for tg, u in zip(tags, y_last.T):\n", " x, y, z, _, _, _ = u\n", " if \"collimated\" in tg:\n", " axes[0].plot((0, x), (0, y), \"g\", linewidth=1, zorder=3)\n", " axes[1].plot((0, x), (0, z), \"g\", linewidth=1, zorder=3)\n", " elif \"stopped\" in tg:\n", " axes[0].plot((0, x), (0, y), \"r\", linewidth=0.5, zorder=1)\n", " axes[1].plot((0, x), (0, z), \"r\", linewidth=0.5, zorder=1)\n", " else:\n", " axes[0].plot((0, x), (0, y), \"k\", linewidth=0.5, zorder=2)\n", " axes[1].plot((0, x), (0, z), \"k\", linewidth=0.5, zorder=2)\n", "\n", "# setup\n", "axes[0].set_xlabel(\"X (m)\")\n", "axes[0].set_ylabel(\"Y (m)\")\n", "axes[0].set_xlim(X.min(), X.max())\n", "axes[0].set_ylim(Y.min(), Y.max())\n", "axes[1].set_xlabel(\"X (m)\")\n", "axes[1].set_ylabel(\"Z (m)\")\n", "axes[1].set_xlim(X.min(), X.max())\n", "axes[1].set_ylim(Z.min(), Z.max())\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Simulation #2 : extract distribution of collimated atoms\n", "\n", "Now we will repeat the experiment and keep only collimated trajectories" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "# -- Settings for the config\n", "# atoms\n", "m = Ytterbium().mass\n", "T = 400\n", "\n", "# geometry\n", "Lx = Ly = Lz = 10e-2\n", "r = 1e-2\n", "l = 8e-2\n", "\n", "# zones\n", "oven, tube, end_zone = gen_zones(Lx, Lz, Ly, r, l)\n", "exp_zone = oven | tube\n", "exp_zone.target = \"position\"\n", "exp_zone.tag = \"exp zone\"\n", "exp_zone.action = \"stop\"\n", "exp_zone.out_tag = \"stopped\"\n", "\n", "# config\n", "config = Configuration(atom=Ytterbium())\n", "config += exp_zone, end_zone" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will need a function to perform the simulation on a given speed distribution" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "tags": [ "hide-input" ] }, "outputs": [], "source": [ "def simulate(tmax, Npoints, Natoms, T, config, start_at_center=True, prefilter=True):\n", " t = np.linspace(0, tmax, Npoints)\n", "\n", " # -- Prepare config\n", " # speed\n", " v = gen_3D_speed_distrib(Natoms, T, m)\n", " vx, vy, vz = v.T\n", " # prefilter ?\n", " if prefilter:\n", " i = np.logical_and.reduce([vz > 0, np.abs(vz) > np.abs(np.sqrt(vx**2 + vy**2))])\n", " vx = vx[i]\n", " vy = vy[i]\n", " vz = vz[i]\n", " # position\n", " if start_at_center:\n", " x = y = z = np.zeros_like(vx)\n", " else:\n", " # get oven zone\n", " exp_zone = config.get_zone_copy(\"exp zone\")\n", " for z in exp_zone.zones:\n", " if z.tag == \"oven\":\n", " oven = z\n", " x = np.random.uniform(oven.xmin, oven.xmax, vx.shape)\n", " y = np.random.uniform(oven.ymin, oven.ymax, vx.shape)\n", " z = np.random.uniform(oven.zmin, oven.zmax, vx.shape)\n", " u0 = np.array([x, y, z, vx, vy, vz]).T\n", "\n", " # -- run simulation\n", " sim = RK4(config)\n", " res = sim.integrate(u0, t)\n", "\n", " # -- keep only last\n", " tags = res.tags.T.reshape(-1).T\n", " y_last = res.y_last.T.reshape(6, -1).T\n", " del res\n", " return y_last, tags" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And a function to iterate till we reach a good number of collimated atoms" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "tags": [ "hide-input" ] }, "outputs": [], "source": [ "def collimate_atoms(N_target, max_iter, *args, **kwargs):\n", " # -- Simulate\n", " v_coll = None\n", " N_gen = 0\n", " N_coll = 0\n", " N_flying = 0\n", " i = 0\n", "\n", " while N_coll < N_target and i < max_iter:\n", " # simulate\n", " y, tags = simulate(*args, **kwargs)\n", "\n", " # collected collimated\n", " coll = np.array([\"collimated\" in tg for tg in tags])\n", " not_stopped = np.array([\"stopped\" not in tg for tg in tags])\n", " y_coll = y[np.where(coll)]\n", " if np.sum(coll):\n", " if v_coll is None:\n", " v_coll = y_coll[:, 3:]\n", " else:\n", " v_coll = np.vstack([v_coll, y_coll[:, 3:]])\n", "\n", " # increment\n", " N_coll += np.sum(coll)\n", " N_flying += np.sum(not_stopped)\n", " N_gen += len(tags)\n", " i += 1\n", " x = N_coll / N_target * 100\n", " clear_output(wait=True)\n", " display(f\"Iteration {i} / {max_iter} | Atoms {N_coll} / {N_target} ({x:.2f}%)\")\n", "\n", " del y, tags\n", "\n", " # -- Print\n", " print(\"DONE !!\")\n", " print(f\" > collimated atoms : {N_coll} ({N_coll / N_gen * 100 :.2f}%) \")\n", " print(f\" > atoms still flying : {N_flying} ({N_flying / N_gen * 100 :.2f}%) \")\n", "\n", " res = {\"N_coll\": N_coll, \"N_flying\": N_flying, \"N_gen\": N_gen, \"v\": v_coll}\n", " return res" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "and the theoretical distribution" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "def f_coll_ax(v, T, m, d, L):\n", " \"\"\"axial speed distribution after collimation\n", " for speed v (m/s), temperature T (K) and mass m (kg)\n", " with a tube of diameter d (m) and lenght L (m)\n", "\n", " NOTE : normalization is not good\n", " TODO : compute good normalization\n", " \"\"\"\n", " prefac = np.sqrt(m / 2 / np.pi / csts.k / T)\n", " exp = np.exp(-m * v**2 / 2 / csts.k / T)\n", " exp2 = np.exp(-m * v**2 / 2 / csts.k / T * d**2 / L**2)\n", " return prefac * exp * (1 - exp2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "and a plotting function" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "tags": [ "hide-input" ] }, "outputs": [], "source": [ "def plot_distrib(res, tube_diameter, tube_length, T, m, show=True):\n", " # -- preparation\n", " # get data\n", " vx, vy, vz = res[\"v\"].T\n", "\n", " # compute theoretical distrib\n", " v = np.linspace(0, 1000, 1000)\n", " P = f_coll_ax(v, T, m, tube_diameter, tube_length)\n", " P /= np.trapezoid(P, v)\n", " \n", " # fit with normal distrib\n", " mu_x, std_x = norm.fit(vx)\n", " mu_y, std_y = norm.fit(vy)\n", " mu_z, std_z = norm.fit(vz)\n", "\n", " # compute\n", " n = 5\n", " vx_th = np.linspace(-n * std_x, n * std_x, 1000)\n", " Px = norm.pdf(vx_th, mu_x, std_x)\n", " vy_th = np.linspace(-n * std_y, n * std_y, 1000)\n", " Py = norm.pdf(vy_th, mu_y, std_y)\n", " vz_th = np.linspace(-n * std_z, n * std_z, 1000)\n", " Pz = norm.pdf(vz_th, mu_z, std_z)\n", "\n", " # print\n", " print(f\" > vx : mean = {mu_x :.2f} m/s | std = {std_x:.2f} m/s\")\n", " print(f\" > vy : mean = {mu_y :.2f} m/s | std = {std_y:.2f} m/s\")\n", " print(f\" > vz : mean = {mu_z :.2f} m/s | std = {std_z:.2f} m/s\")\n", "\n", " # -- plot\n", " fig, ax = plt.subplots(1, 3, figsize=(9, 3), tight_layout=True)\n", "\n", " # distributions\n", " args = {\"density\": True, \"bins\": 50}\n", " ax[0].hist(vx, **args, color=\"C0\")\n", " ax[0].plot(vx_th, Px, \":k\", label=\"Gaussian\")\n", " ax[0].set_xlabel(\"v_x (m/s)\")\n", " ax[0].set_xlim(-n * std_x, n * std_x)\n", " ax[1].hist(vy, **args, color=\"C1\")\n", " ax[1].plot(vy_th, Py, \":k\", label=\"Gaussian\")\n", " ax[1].set_xlim(-n * std_y, n * std_y)\n", " ax[1].set_xlabel(\"v_y (m/s)\")\n", " ax[2].hist(vz, **args, color=\"C2\")\n", " ax[2].plot(vz_th, Pz, \":k\", label=\"Gaussian\")\n", " ax[2].set_xlabel(\"v_z (m/s)\")\n", "\n", " # theoretical \n", " ax[2].plot(v, P, \"k\", label=\"collimated\")\n", " ax[2].set_xlim(0, 600)\n", "\n", " # gaussians\n", " \n", " \n", " for a in ax:\n", " a.grid()\n", " a.legend()\n", " if show:\n", " plt.show()\n", " return ax" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'Iteration 302 / 1000 | Atoms 5012 / 5000 (100.24%)'" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "DONE !!\n", " > collimated atoms : 5012 (1.14%) \n", " > atoms still flying : 49 (0.01%) \n" ] } ], "source": [ "# -- Settings for simulation\n", "# duration ?\n", "typical_speed = np.sqrt(csts.k * T / m)\n", "tmax = (l + Lz) / typical_speed * 5\n", "N_time = 100\n", "\n", "# target\n", "N_target = 5000\n", "N_atoms = 10_000\n", "max_iter = 1000\n", "res = collimate_atoms(\n", " N_target,\n", " max_iter,\n", " tmax,\n", " N_time,\n", " N_atoms,\n", " T,\n", " config,\n", " start_at_center=True,\n", " prefilter=True,\n", ")" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'Iteration 502 / 1000 | Atoms 1002 / 1000 (100.20%)'" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "DONE !!\n", " > collimated atoms : 1002 (0.14%) \n", " > atoms still flying : 58 (0.01%) \n" ] } ], "source": [ "# same, atoms spread in oven\n", "N_target = 1000\n", "res_spread = collimate_atoms(\n", " N_target,\n", " max_iter,\n", " tmax,\n", " N_time,\n", " N_atoms,\n", " T,\n", " config,\n", " start_at_center=False,\n", " prefilter=True,\n", ")" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " > vx : mean = 0.17 m/s | std = 10.01 m/s\n", " > vy : mean = -0.28 m/s | std = 10.31 m/s\n", " > vz : mean = 224.54 m/s | std = 92.97 m/s\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ " > vx : mean = -1.48 m/s | std = 34.66 m/s\n", " > vy : mean = -0.41 m/s | std = 34.73 m/s\n", " > vz : mean = 240.74 m/s | std = 98.26 m/s\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = plot_distrib(res, 2 * r, l, T, m)\n", "ax = plot_distrib(res_spread, 2 * r, l, T, m)" ] } ], "metadata": { "kernelspec": { "display_name": "atomsmltr-KmviZRuT-py3.12", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.3" } }, "nbformat": 4, "nbformat_minor": 2 }