{ "cells": [ { "cell_type": "markdown", "id": "f736372d", "metadata": {}, "source": [ "# 5. Spectrum Calculation\n", "\n", "In this tutorial, the TA-SC-IVR spectrum is computed from the ro-vibrational trajectory of H2 (`h2_rovib_pi2_traj.npz`) and the monodromy matrix from the previous tutorials.\n", "\n", "The spectrum is obtained by\n", "$\n", "I(E) = \\frac{1}{t_{\\text{tot}}} \\left| \\int_0^{t_{\\text{tot}}} dt \\langle \\Psi(0) | Q_t, P_t \\rangle e^{i \\left(\\arg C_t + \\frac{S_t + E t}{\\hbar}\\right)} \\right|^2,\n", "$\n", "\n", "which requires three quantities along the trajectory:\n", "\n", "- the overlap $\\langle \\Psi(0) | Q_t, P_t \\rangle$ between the initial state and the coherent state,\n", "- the action $S_t$, and\n", "- the Herman–Kluk pre-factor $C_t$, computed from the monodromy matrix.\n", "\n", "Here, only a single trajectory is used to show the procedure. The resulting spectrum consists of discrete peaks, but their positions and intensities are not quantitatively correct. A practical calculation requires the sampling of many trajectories in the phase space, which is shown in the examples.\n", "\n", "See [`pyscivr.scivr`](https://tsumura-m.github.io/PySCIVR/pyscivr.scivr.html) for details." ] }, { "cell_type": "code", "execution_count": 1, "id": "dd0e0c79", "metadata": {}, "outputs": [], "source": [ "# import necessary libraries\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.signal import find_peaks\n", " \n", "from pyscivr.basis import get_overlap\n", "from pyscivr.coordinates import InternalCoordinates\n", "from pyscivr.potentials import H2SplinePotential\n", "from pyscivr.save import load_hessian, load_trajectory\n", "from pyscivr.scivr import get_action, get_lagrangian, get_prefactor, get_ta_spectrum_fft\n", "from pyscivr.units import CmInv, FemtoSec, HBar\n", "from pyscivr.variations import make_jacobi_func, make_vari_propagator, propagate_variation, to_internal" ] }, { "cell_type": "markdown", "id": "6cb5a0da", "metadata": {}, "source": [ "## Set system and compute monodromy matrix\n", "\n", "The system is the same as in the previous tutorial." ] }, { "cell_type": "code", "execution_count": 2, "id": "f206055c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Build complete: 3 coordinates\n", "Build complete: 6 coordinates\n" ] } ], "source": [ "mass = np.array([1.008, 1.008]) # [amu]\n", "r_e = 0.74160392 # equilibrium bond length [Angs]\n", "posi_ref = np.array([[-r_e / 2, 0.0, 0.0], [r_e / 2, 0.0, 0.0]])\n", "\n", "coord_const = InternalCoordinates(posi_ref, mass)\n", "coord_const.add_translation()\n", "coord_const.build()\n", "\n", "coord_all = InternalCoordinates(posi_ref, mass)\n", "coord_all.add_translation()\n", "coord_all.add_polar(0, 1)\n", "coord_all.add_azimuthal(0, 1)\n", "coord_all.add_bond(0, 1)\n", "coord_all.build()\n", "\n", "active_idx = np.array([coord_all.find_coordinate(kind, (0, 1))[0] for kind in (\"bond\", \"polar\", \"azimuthal\")])\n", "\n", "traj = load_trajectory(\"h2_rovib_pi2_traj.npz\", coord_const=coord_const)\n", "posi, mome, lam, mu, dt = traj[\"posi\"], traj[\"mome\"], traj[\"lam\"], traj[\"mu\"], traj[\"dt\"]\n", "t_fs = dt / FemtoSec * np.arange(len(posi))\n", "\n", "_, hess = load_hessian(\"h2_rovib_pi2_hess.npz\", coord_all, posi, n_step=len(posi))\n", "\n", "_, jacobi_rev_func, _, monodromy_func = make_jacobi_func(coord_all, active_idx)\n", "J_rev_init = np.asarray(jacobi_rev_func(posi[0], mome[0]))\n", "vari_propagator = make_vari_propagator(coord_const, dt)\n", "vari = propagate_variation(vari_propagator, posi, mome, lam, mu, hess, J_rev_init)\n", "\n", "posi_int, mome_int, mono, symp_err = to_internal(monodromy_func, posi, mome, vari)" ] }, { "cell_type": "markdown", "id": "acf34f7a", "metadata": {}, "source": [ "`to_internal` also returns the positions $Q_t$ and momenta $P_t$ in the physical space (bond length, polar and azimuthal angles), in the order of `active_idx`.\n", "\n", "As discussed in the previous tutorial, only the steps where the symplectic condition is satisfied are used." ] }, { "cell_type": "code", "execution_count": 3, "id": "72f918f6", "metadata": {}, "outputs": [], "source": [ "valid = np.isfinite(symp_err) & (symp_err < 1e-4)" ] }, { "cell_type": "markdown", "id": "ead072d5", "metadata": {}, "source": [ "## Overlap with the initial state\n", "\n", "We set the initial state $\\Psi(0)$ as a coherent state centered at the initial phase-space point of the trajectory.\n", "To target the vibrational ground state, the vibrational momentum is set to 0.\n", "\n", "The overlap is the product of the 1D overlaps for each coordinate with its topology\n", "(see [`pyscivr.basis`](https://tsumura-m.github.io/PySCIVR/pyscivr.basis.html) for details).\n", "\n", "Here, we set the width parameters as:\n", "\n", "| Coordinate | Topology | Width parameter $\\gamma$ |\n", "|---|---|---|\n", "| bond length $r$ | `R+` (half line) | $\\mu \\omega_e / \\hbar$ (harmonic ground state) |\n", "| polar angle $\\theta$ | `I-` (interval $[0, \\pi]$) | $1 / (2 \\times 0.2^2)$ $\\mathrm{rad}^{-2}$ |\n", "| azimuthal angle $\\phi$ | `S1` (circle) | $1 / (2 \\times 0.2^2)$ $\\mathrm{rad}^{-2}$ |\n", "\n", "where $\\mu = m_{\\text{H}} / 2$ is the reduced mass and $\\omega_e = 4401$ $\\textrm{cm}^{-1}$ is the harmonic frequency of H2." ] }, { "cell_type": "code", "execution_count": 4, "id": "c5a434c8", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Topologies: ['R+', 'I-', 'S1']\n" ] } ], "source": [ "posi_ref_int = posi_int[0].copy()\n", "mome_ref_int = mome_int[0].copy()\n", "mome_ref_int[0] = 0.0 # set vibrational momentum to zero for the reference state\n", " \n", "topologies = [coord_all.find_coordinate(kind, (0, 1))[3] for kind in (\"bond\", \"polar\", \"azimuthal\")]\n", "print(\"Topologies:\", topologies)\n", "\n", "omega_e = 4401.0 * CmInv / HBar\n", "gamma = np.array([mass[0] * omega_e / (2 * HBar),\n", " 1 / (2 * 0.2**2),\n", " 1 / (2 * 0.2**2)])\n", " \n", "ovlp = get_overlap(topologies, posi_ref_int, mome_ref_int, posi_int, mome_int, gamma)" ] }, { "cell_type": "markdown", "id": "fa7f09e0", "metadata": {}, "source": [ "## Action\n", "\n", "The action $S_t$ is the time integral of the Lagrangian. The energy origin is set to the potential energy at the equilibrium structure, so that the peak positions are measured from the bottom of the potential." ] }, { "cell_type": "code", "execution_count": 5, "id": "17098d5c", "metadata": {}, "outputs": [], "source": [ "ener_ref = H2SplinePotential().energy(posi_ref)\n", "lag = get_lagrangian(traj[\"total_energy\"], traj[\"potential_energy\"], ener_ref=ener_ref)\n", "action = get_action(lag, dt)" ] }, { "cell_type": "markdown", "id": "f3ee45d6", "metadata": {}, "source": [ "## Pre-factor\n", "\n", "The pre-factor $C_t$ is computed from the monodromy matrix, and its phase is tracked continuously along the trajectory (branch tracking of the complex square root). The invalid steps are skipped in the tracking." ] }, { "cell_type": "code", "execution_count": 6, "id": "e2ee205d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "C_0 = (0.9999999999999999+6.5384800775166165e-18j)\n" ] } ], "source": [ "pref = get_prefactor(mono, gamma, valid)\n", "print(\"C_0 =\", pref[0]) # should be 1\n", "phase = np.full(len(pref), np.nan) # NaN at the invalid steps\n", "phase[valid] = np.unwrap(np.angle(pref[valid]))" ] }, { "cell_type": "code", "execution_count": 7, "id": "dc42ac81", "metadata": {}, "outputs": [ { "data": { "image/png": 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ICiDGAxVwQqFiLTuQzsLKM15AecN1j9dalBkuTMQ+sXRiviZctjI4QBqwY6EmFvg5q3ZvMBQPOpKCjHCtDUNzhjpp3URbn2SW5aWK/TASqclOsXfqz1WrYd+JNmrs9ApnuPnqedBfEQ4FqG6vNa+HyPUQKeQ3KgyfWMyZM4eqq6vFILtLLrlEdCgYuH/ppZfST3/6U6qqqqLZs2cn9LlKnBmbjjb2S4NicIWKeZVWHoY2UMdCBJkF1q/EMOUtUpDH4C4Gt8KtXIUaX5BOKS5nvz/DgZSVqR+azWxEt4JxnppYrFOpc5YfjjdAxwLTp/PTk0Un06qJpuYANLkwTGsTqTtCt9PKs37OpK9gsKugVTt5vPdDqJ7sOj1URfKJG4oSSEKsih5fgCpV+3nZsYgS7r33XkpLU3jGZwJ+Bj8rYVy7NB6AFUl9YaycUqQFnVY9NLjycKYNok+U1m5ZCtBa5s4OsBZYZ4Fqtt+i9pqD4c3qh4JZ8ZrAaxpIX8E4b2KB5gwF5yirDr9iRyj9cLzI7g0H1lblla9RE4v+aFAAulqpbie1dPksXXjhosOZKtRsxWxV17h3zkCD4uthbqmiwdpu0eSKTR2QPEG8jkTKDDB8x0LCOtMzMegKrh4DBVLoZKQnO6mhw2tJTjmcfaAtOFNVUv9vhyxqObvveLvgDyNAWKgOR+yPQ5wDC+Ie61oQ650+BsK4/HRRrcMU4ppm61HjUGnEWgDdgadLR6IsL02I2KGz4K6n1cBBMvQk2WmnmzowJhX2TSO3GupaukVAjUYFz+2IhNvpoEXqnrHBwgNV96vn35kKUEyTxDVkNQE3iklsN663HI4ED1a18pybvdpaMIcjFHA6ec9ggEB7sIBjlISxp2eiEj3QxYEA6rxJBfTa3pOCHsGcYqsFkhCu98ebZbCHfYVFOxZMfYGt7EAUIFDCQJP614468fOLIpyj7EJ3wPuARBPUD9BfMI3aSuBuxdIB6A4MBBfVm6rF5On3TRtFlu1enYVDPYmdcCyYWDD1BU5g+knTkQA1Butg49FGuvW8cWTFLh5T3fTzniIxsTCD3M4kUXzBBGok4FYBXj8KkZke1xmLcPPKlCRze401dSb6GT7cnTEDHGZILPg2bdo0YTHr9/tp/vz54ob7eGz69OmJfqoSZ8DbagAxUCWKwXQIthy0Eio0cebAG6X+31GVtCL9ZbX62b5vmkJ9GwhMk7Ki5gafq0aLO0swqeksLMirZ6OG/uwk7WRHPVjXF62bacHEYuPRpjBNzUBYMl4pMoBaa8X9saqpi7q8ATFdG/qrgYBEnItQVrOj5g4EZrf0p7VhzCnLFsPzMDSRXbSshh3qDB+23jYDDN+xuP/++7X7H/rQh+hHP/oR3XXXXWE/8+Mf/5jWrVuXgGcnMRiA/sPtvIH0FZGJxbbqFjFMLnJQlCV86s8SSIL2wfQXVKLG5lunEoXPlF1MVk4tGtRagG8/7BfzI9yjzAx8rqjI4XMuP0ulkavYHHxaSZS4RV0LZ9sX0MlE9+bwqU5hrxlpV212HGTXl0EmFqDFwQkH7kBWwaZKhdp0zvgzJxagSYIyC1tynCtW62xzkoDr3uU8c+0XdtT4edBLL5lZTFbBe+rgv/7coCJn/eCaQJEG1KnLZlnnPeA9EjN8zJZYGL5jocfatWvF/IpI4DH8m4Sxq5Jo60Zai0YC7dyJhenC+eRdiw1I06xmBxBnMnCYTFArVVZzAwLdAZ8tPMjP1rovyvIIHjHow1abws1JAjjzZwse9AJuKwGBAGyV4XbE630goMDAk6et2LU4MMiiA5Lr3DS3uCYOn+qwlL4CVWcUpwdyDWQgGWfe/er91utssxh7evHANCgGU6X2W8wViZ2uWENxJoBGCbxrQTvqvcfbhLYMcRNm+pgFpkosIFDaunXraY9v2bLFcuIlK2G16vSxatqZ6Q4MpkWss9hGwVXJwVjGaVNFLUZ5YBrUqgFcXwbqWrANpV3mmejBVewjpzpFIG4VcLII16fBiBKZRmm1xKJpkKYODHaNshIdanOlQoNC9yHjDPozxiqVRsn7iZWwRx0WycMxB3NOWKnogK720QbFXnX+IKr06GYCVis+6Q0KUFQxi3DbdInF7bffLiZwf+9736PXXnuNXn31VXH/wx/+MH3mM59J9NOTGMDdgQOBVWehvjAWq0LdbVXWcXoAlQfDfrA3DDRZVw8OOK1kKwk+NNtJDnYtcGKx9qC1LIh54vZA80z0QEUfIkZUro40WCeY1KbqTj4z9YXBcy6sZkHMQWFp7plNHRiTLGhHzRXqgZzBIrFSLUyAi4/EzCpAgVTTF5yFBqSnSVY2dllmaOIhdV1j38tJO7u9KsT86HSh8ILOl5Ww9iwzfowKUyUW3/nOd4Tm4te//rUYjHfZZZeJ+9/+9rfpwQcfTPTTk+gHsAplrQRTGc4GboWjvWsV33ptkmpu2qB40RxwWskZCm1dCOzAjx6sy5NVLYiZR30m1xcGKlXaxGGLCLgxt2G3WpnlORVng96CmAWNVsDuY1yhPvta0Hc1uANqpeRqMFV6YHR2Kk0rzhSUMKbaWgFHGjrFjA4ItwezNwh74lS3oJcisLYCeF0PpgAH4PVjb7Ba16Kz16/pEc9memM0mCqxcDgc9LnPfY4OHz5MXV1d4ob7d955p6naRHYCt6pBbzobl5wxKssjxJkoUFtl8A1XFwdDfYl0f7FKpZ7bukvOYi2qB35u6URruUOhsogAYijBJHPvrZJY7KxtFUEhrnNc74MBxNvMrX9LdZmzAnbUKonFYAsvVqRJatbLZ9GY9EuHspDOggNJCHUHs0ci7uEzxSp0qMEMkY0ED9Fjy2IrYP3hRvIFQsLMZdxZNGhGg6kSCz08Ho+4SRgbq/cz9WVoGTd3LXijNTvYl3ywmyXmFXjcijMUB6FWSSwwv2Io4Cm8VuHWoyKHCiNEuKOyBud0pVnOWiR44KGH8wYhztRjhQV1FuxTP6c0e0hFh6rGTkvQX9DFREdyKFVqPZ0SBQdcT1bANvW8O5uAXQ8+U6ziGsdFuMHojRiYj8UdC6sU4tYeNCcNyhR2s5Fobm6m1atXU3V1tZhhocc999yTsOclcTpOtvUI+gqaScyVHywWjM2hF3fUWYbywJXmaYOsUKM6O3tMNm2ubBaBx1AOXCMCB/8m1ad+yVnsJCNxrupbjyo3uPWD7XwZnQaFbsVgO61Ws5zVXF+GaKG4XD1kd9a2UEuXd1AcbCOjudNL1U3KRPU5Ywb3XhSq9BdQTEF/mVEyuD3FqOBkGZXZtGTXkM6IzBQXNXf5hOCZ6TBmxruHleLLYnW6+FD2Bqvo8ZgKNRj9GWNBea4Q/UNvs9sia+Et1leYjAYFmOqE3rhxI02ePFnMsfjSl75ETz31FH3jG9+gL3/5y/T0008n+ulJ9NPKA2aVZA95BsFM1ZvcCoN/UEHhxGL6EFr9PGnTCskVPse2Hr/Y/GcOMRDChFkEEJj7YIXAmrUig6VB6auSsOQE99bsAlWtYzHExALcelA/UJS0Ap96u3ptYxBadtrgZvYgGdV0FhbQYPHgx6FQXwAUGJaqw/Ss0MGqbOgUSSamaQ+l+GKljkVbj49OtPWI+0MpprktthaqGjupqrGLXI4kzfXKTDBVYoGOxN13302VlZXi+/3791NtbS1dcskldNVVVyX66UkMQH3hC34ogDAPON7aIyqTZgYGekGEnuw88yTVSPBAHKZKWGHgESpLQ+04YPIqU2a40m1moNoODCXByktPFpVqK9ChcE2D/oJDczjDzaxkO8uc8KFUqPXVXCsIuCtUrcjU4qF3ZdmafK0FuPUsQheGFYNwB7Ni0YEtlIuzPEMejqs5CFpAf7W2om8tDMZ+2WgwVWKxY8cOuuOOOzQhd29vLxUWFtITTzxBv//97xP99CSixKkHMj1uKstTpuua3Q2Iuy6owAwlqOZqLl5/r9/cXGqupg3G6aQ/MGXG7IkFOPG7j7UNmUetT7bNnljwWphQCB2Rc/jBZEWD6ecX9dlJDo3uIDsW4UkmtAlmdxBkQ4LlQ6S+6IsOZhf0M51r8iBNTvpLLLZVNwvXOSushQuGuC8YBaZKLNrb2yknRwkwioqKhM4CyM3NpaYmhb8tYQycaO0R3trwlx6stWgkePIoj7Q3K/apz3/aIK0UGfC1x6EBZwgORs2KihPDr0rquzdc7TcrwAX3BoJUkJEsOOVDgUZ5UN9L8wcPQ7seGOeMzxPdDlAm0A00K+C5j0AQeyS72gwWUyzSsUBieGAYjlCMsflpVJ6fJma8MPXWjPAFgrReHQg7HE695gxlctc4TV+hDoEcCsry0gQjAGuBtSpmhNfftxaGqk01CkyVWOixatUqoa145ZVXhAXt3LlzE/2UJPqZpAphYZZnaC1NBgudza6zYI0EtCZDAbjU56hJGXd/zB48DJVHzWCBKhyyzNy92VKpUsLG5g7ZIlubZXGyzSLBw/CSTHQ5OEmHoN/s1BdlPkfysALJSpM7QyE5xFwSJIoTCoa3HjRHIBPPs0DHpdMbEIWkoWrQrKSzYFrccDoWwAXqWjAzTXKruhby05OH3eFPNEyVWDzyyCPa/YcffphaW1vpmmuuod27d9OTTz6Z0OcmEQ4MtwNmD9LppD+w0NnMm6WYpKrTFwwV503KD5tSbEacbOsVDjZwuoIQezhgzi3cpZiHa0awffKiIXLq9bMs0MEzMwWIg4fhJplhxgYm1h+tHQHdAdQXdL0gYjczVZRNLeDTP9jZNpFYOkEJJreY2JqcHYDQuYKmbKiwih31Ia0ANczEQtPcnDLtHrlWTZCRMA9nLRgBpkos9HaypaWlwna2u7ubtm/fLjsWBgPTNZgXPhxwIIUKp1m9qeHsADtEHJrDqT7wVGIcmmatTHJiOC4/bVicegDVfV5LZqXGISnaqFruLiwfOj0Qrx8GAI2dXkEzNCNw2HPwMNyOhRUc07AW2NVqxTB86nE9WCG50gbjjSDJXFCeo3W2zSpeXn1ACSbfpw79G+5ZaebEArqIulZ2hBreejh3Qr5w1YKQ3ax75Nva/Apz0qBMl1iUlZUl+ilIDBJM1xhJVbI8L00E5LAZrW02J5f6vRqlijarJGtYFbmJhelUlJkieJdmHRbIvN/hcKj10BILtRtmNiAIRucm0+OiuYMchqYHkjJ2xzIrNQ6BA9r8oL6MZJosa2521baasugQvhaG19W1gmvccKYs92dBXJLtEd0bMyaa0CMiKQIzcrjBJCfp6A6b1UWRO9EYGjpURygG3LQWqUUbM9Khmju9tKdOOd+GqrsyEkyVWHR2dooBeRLGBqpGqBiMNJiEg9IklTpjVjrUpqPKep0/dujUF65Mnq9uMGb17dfEmaNGxhft09yYcy3wQYcW93CH/PGwQLMmFizchsgS3vPDBRzWUlwOkaTUNHeZdi0geBjuWuBJ3WbWmWgdi2GaOjCYZsqTq82ENQfqNRdAaCyGA7gojslJDUvW7CTc7t81znyJxfojjQQGF6hgRVkeMitMlVjcdNNN9Oijj5qWO2cXsOUdeMDD3SgZU03c4sU61QcQwwX/v9wiNSuPeqTBg5nXQpi16AgmqaLVz4mFGffBQyMUZzL0eh0zBlLDtZnVgzsdMDRo7TKfvSY6TXwtj6RjwWYIwA4TJlmr1cRi1dTh0aAYrEswaxFuf5Q62xeo1EIE6f5AkMyEd9TiIRcTzQpTJRZHjx6lBx98kKZMmUIf+MAH6Lrrrgu7SRgDB1Sqykh4s6dbbJpvszx8qlPYYYIXv2QYszwYy9WNEpazjR29ZDYuOU8HHmnwwO3++vZe0wVSeL48bXokwSQ6X1hPoDxgfZkNHEiOtCpp5kQzWmshNz1ZG7i5tdp8duvoNPX4goIiWp4/fFqc3jXObA6CoLjykMQRJxZ8PZjwrIyW3oZt6jNTXNTlDZhurse7nFio2kqzwlSJxdixY+n222+nCy+8kEpKSqigoCDsJmEs4fZIA0l9ldtswYPe6QO++2nJw5+eWZTpoekqDchsdKiaJiV4SIlC8IB2P7jUQIWarJgF+NzAAUdyVKJSFoaD1GSnWE96CoWZcDBKHQv97zBb0WHdYWUtgM7F9JWRdrDWHTIfNY4/N9Bd0YEaCXjmEbR40K6YBVuqmgSdryAjZVg2s3pwQG5WDVq0OhZwUpqt0gTNpD86oZv9NZJCpBFgqlnhmLAtYXxwEjASRygGJyeHT3WIIUIj4WUnKrGIxpAb+HOjGoff+cF5Y8gs4LY8gsCRBg9clYMAGEHJ4mEOXkwE3qqoj5rTx8qphSJRWXPgFN22fAKZyxEqikUHk1psRoMSxzhvYj49u6nalHbUnGSONJAEstMUjQE6xPuPt9ESNeEyOjaog9zOn5Q/YmtRveYGnZDh2vcmAujEN6jd+GgUHWBsgCF5EPPfeM5YMgO2q0YvU9FxGebsL6PA8Ctv48aNg/7ZDRs2xPS5SAyt8sCt2ZEAh0V6slNMn65sMA/1A9awG1WB7YqpUUgs1ID07YMNpuLWc1UyGoGk/vewCNgMwOeFJICTgpFilWpJufFoo6nsNcUwtF6/SDDHjbB7pV8LR051iqKDWdYCrmE9xXEkWDoxX9tzzUaTjPbewF1dM9GhNqj209x5GgmgOYKmsdcfpF3HzFOp1xegxualjai7H6k/2l5jHs3Ne9Utmojf7HCYQbB91VVX0b///W/yek+3Uevp6aEXXniBrrjiCrr55psT8hwlBqg8jMCnXu+KNNmEU0UxrwAb/OhsT1Teh4XlueRxO+hUe6+WuJnLESo6wQO/l2YS7GKAGXQhqe4+GtNIMKEgncrz00SybaZKNX9mmGcSjWoqFx28gSBVNXaaZq4Nqurw2l8ShbUACg13hiFWNRM4AYhGZxuYoU5jN8vAQBSftqvBZDQSC5yVi9XBmzwvx3wGH9FZC3PLsrVuplnmP72n0rbmq5biZobhE4u9e/fSeeedR7fddhtlZWXR4sWL6corrxSJxMKFCyk7O5s++9nP0rJly8TPShgjeEDlAZ7S0UAf5cE8weRbB/roDtjwRwrMMODDx0zuUBVR7F6FdSxMpLHgbgXoDimu4Q0I1APriYWePFjLTvNMGKCOQKegt6o0OlgjBRejaFRm9UM0WQRsBiDYg5uVvtMwUrAd9QGTrIVt1c0iKcbcBiTb0cA545UzYrPJEgvMo4nmWijO8ohZGDAPQUfT6PAHgtp7MF92LGIPj8dD9957L1VVVdGLL75Il19+ORUVFVFxcbFIMF566SXxb/gZ/KyEMRyhotXeNqvbBXPqo0GDYjAne22FOQKIXn+AjqrBQ7SqkhxINnR4qanTHIOgWGS9coSuL3owpQq/2yzUuGg6QjF4Qq9Z3F/WxcBOkilV0G6YZS0gEUTQl5vmFoF1tGmSZhiayNQXaMWiUXwCuAu2ubLZNPRAgF3SohVU4/00kwbrYH2HGAQMNyu20TYzTCPeTk5OpksuuUTcogVQq5xOp7hJRAdcLRrpzAI9zLRBsBMSrEDBJY9mAMH+3Jsqm6jbGxAOQUYGKkX+YEhMF0YFKRpAF6w0N1W4v2A9RINCEGtr0W1qABENfQUDrxtOW8dbe8RsCKYLGhkVavAf1aKDKvQ0Q2KBYJfpStHcF84dny8siGFqgH2Hk29z0KCyohZUC4qd0yFsRkE3K8uLThcg1vSfmSUKbScamDE6S+gsUHTZWtVs+P2R90juXvE0+WhgSnGGOCvNQKE+oK4FdGxGKuI3AgxPhYoFnn/+eVq6dCnl5eVRRkYGrVixgrZv357op2UJ9E1SjU5LkzcIoLKx0xR8ybUqVQnVF7RjowVUMmC3CscPCHfN5EsereCBf59ZBNygvqAyC21IaW70Ah2PTq/B7mNGD6r584pm0YEdZMywFg6d6qCWLp/Q2sxVHXyiARQYFo/PNdW0YdZBRIv6AmCC+cQi81gQR2vquB4ISuEgqKdgGh3ba5XCC3RjIx2o229B0gRr4aBK7Z0UBUcsI8B2iUUgEKBnn32WHnvsMWpubqaGhgYaN24cXXrppdTSYi4nBaMBbXiNRx3FqmRhRgrlpLmF9ztP7jUy3lapStGwFtUDwflylQ7FzjJ2EuQxzCTmx4RsYJl62EcTbGNshrWACjIqyRAtj3SeiR5MqxLdMYNTP1ioC1tQBMHRhEaTNIn+am8dJxbR3RummmT6NGhKsFCPdgdPT7k0y5ybbVXNMXFD0obrGnwt6DVi0TB6MQJsl1iA9vS3v/2NlixZQm63m9LT0+l73/se1dfX06ZNmxL99EwNtOJhJ+lyJGkTYaMVUE8xCR0K1el3D6t2kjEIJjlZMUNlsq8iF92Dk+kvZhDzc2dpiSqqjCY4ycTfMHonj9fChIKMqM6igTMU3NIggq1u6iIj4z3Vp35eDFxfeF9AIgttk9GDaswX4Eny0YSmxzP4OQHtGVzdMlJcIx6S2N9aQIMY7oEYumZ0sBlJtGlbHDOANmt0W+6DMaCJJhK2Syz6A8TfQGFhdCvMdgN3K0DZifZwnqkmqT7srG2hth6/0BXMHhM9ugNDDFJKUjai463dZGTsOx5dn/r+RJpGFquC58zJTzRsZvtLsCB8xWTzLZVK0GpUYGgXMGOE04XP6Axl8G4mi3Xnl0U3mGZzhMJMc6wFdCtgxY0uNKyTowk2iTA6FapvhkdGVGmiAOhEc9Q5DmwiYmR9BQu3o93hz01PFteE0feGHl9As8uWHYsEIxiMTtsbczC+8IUv0PLly2n+/PkD/lxvby+1tbWF3SRiNxjPrM5Q7PqCibjRpjsAOWnJGi+ZqRVGPTBAf4k2j5oTV5zFzV0+4Q5lVGxSLR8RPESTO9wfNc7oFBgk3PrpwNHEFJUOZWSaJCqmXEWPhU+9shb63KGMjC0q9QWWu9EWqnLRATQjI7sixYomylipBulG11lAgwaKM4oD0e7c6AN1I2uwjjZ0ivcgy+PSEiGzw1QdC7/fT9/5zndo/Pjx5HL1GVp9/vOfpyNHjgzr9914443U2NgodBdnwkMPPSRmZvCtrKxsWK/ByugT60afJ8gdC4j+jFylZr77sii6vkSCq1E7j7UaXpwJB6doCthZrIo5KUY/MOBTz3aSsQKvMyMPxML1yh0LXrvRBAsejbwW4IKE4AEdplFRckgbSHOz1uCaG+bUY+hntMFDE0EzqlSdhowI7rzHivrCDnQI3I2sPeIkmNdutNE396jDFDSopCh3rxIFUyUW3//+9+mPf/wjffe73w0LLuHw9O1vf3vISQWmesMNas2aNTRmzJgz/jzmZLS2tmq3mpqaYb8Oy3csYrBZglYE7cbJtl7BmTRqS5ODyWjaSUaCq75cBTZyYgH7w1jADJobvh5mxYASx+DgbM+xVsPqLNC5auz0iut3ZpSpUHoBt5E1Nxw8RNMtLxK85yCJqW83Jrce5zYsQLljEW0IPR7ToQy8N8RKf8ZAAg+qWXuPX6MaGXEtsKNdtGlQjL4BmsZdCwd5vo9FHKFMl1j85je/oeeee45uvvnmsMdXrVolBuUNJanA79i8ebNIKsrLy8/6/6SkpIjJ3/qbRB9ggXpItUyLNo+aq9QcUBu1Orv7WKuolBVkpERVvB4J1m6gCmzU7g27vsRiLegF3By8G3rqeAwFeegIFWWmiHkh3BUwGjiwQRAFm9xY0R1Af4F5gpEDySkxdH3BvjNrTJahp3Djej3V3issd2NBCTODzWiX168ZDUTTPVEPzFBimqRR7aiRbJ9o6xHzeHiwX+wKUAYuOpzsCBv2aQWYKrE4duwYTZkyRdzXt4zg7tTZ2TlobcZHP/pReuutt4Q7FOZYwHIWN+goJIYH8JsRVIMnGAuuJHCO6qyzyaAzHLTpoWNzYtrSRIAGcTyqUZWNxnTC2VPXGhN9BYMpNdwhMqLGBIemPgmKBbDOuGuBgVhG1h3FQsAOYBAaghMIgjGc0ohg/Uesq5Ka7axBg0l+XudOyItJkmkGm1EEkqgHFWQkU35G7Dj1Kwyus3hLfV5LJuTHbC1w0QFdU6M6Qx1UC7KxPCfiDVMlFpMnT6b169eL+/rA7U9/+hPNnj17UL8Dsypee+01Mc/isssuo2nTpmm3v/71rzF77laHfuBRrILqJRPywkSxhnV9iVEljgG7Ts0l64TxTATae3x9QtUoe5MzOJhGJQpBvNFQoR4WSLIzPdHVmESCKSVGTLLQUVsbo7ku+uosB5O71YTWrlVJfo+h9cJQQqOBTQZitRb09CKjVqkPxJgGxeBBebuOtVJDR69x10IMbNn1zlDo5BnV3KHXH9CKg0zptAJMlVh89atfpY985CP0xBNPiO//+c9/0h133EF33323+LfBANO2uUMRecPvljAm9YWDSQQRuBBrm41XmXyvOjaDfvoDVz6NeHgiwUJMU5aXSkUxEqrq6WZGDKj1dpKxBms4+Bo0Eg6f6hTVwmSng86NwSwPBl9zRnRKa+3u617FumOBJDMt2Sk0LUar2IMCtPloc8wTC04yKxs7Dak7igdFEsDeyxo3o3Wwur0BjdLMQvNYQXOGMmBiUdnQJeibmSkuYexgFZgqsQCF6Qc/+AE9+uijgtJ09dVX06uvviq0F9ddd12in56tsfe46lMfI+oLkOVx0wK1G2C09m59W48YEAj3xFg435hJvMx2kovKY+eGpO9abFbFoIbk1Me4Kqm/5hDAI4g1EjigWTw+V+ikYoW5nFgYUKjKldLiLI/Yw2IJUCRZi7bLYJobDO/DIEPogqI9v0IPUIxg7wy6kRGr1FrHIg7D0JZPKdDeeyNhw9FGocssyfYI+/BYgos7RhRwV6jPCc52VnGEMl1iwcnFgQMHxBwJ0JoOHz4sHpNIHGBnx4dYLB1wgJVTiwyZWOxTq1CoomOaaqzRt1ka7+DcWtUUMztJPRaPM25iofnUxyF4yE5za7qm/Sol0Xh0h9hWJbljAdqH0eYXsKlFvFxf5qqFDZ5ubRToKXGxDKLwu/uoou3G7WbGoeiwWC3ucLHHaPqKFVNjuxaASQa2nK2IY5IZT5gusWBkZmaKeRISxnD66PQGRDsv1u1dFqS9e7hB8BONAq6GxPr1M5iPeaTBWIOgUIVirckiNfCPFc6bqFTj8PfaenyG0hVUxHk9TB+dqVmNGgWgoXClNJbUFwAVcEy7h4DbaMEk0xXjxaGezR0Lg825WXOgPi5Jpl6/YDQ6WHOnl+rbe+O2N3Bx58ipTmrqNM4w0bfjVHDQO7EZsbtfEedzIl6IfWl1hIDAerB45ZVXYvpcJPoHu9HMVzUQsaZ9gF8PMRr4ustiKPwaCrhzMDlOGwQq1OBSd3kDVNXYaRirOqwFPCfQEXgicqwANyB0iDC59N1DjXTZrGIyAk519Iqp4LgU2Ec91sB18fq+es1EwShroccXFHa402JcncUEZ3QtIFreUtkU887pUMCV0nh3LJBkoviS4oodBW2wwDUKbZzbmRSXPVtzhjJYksmJDuhg8ehsQ7w8sTBdaJ0wmPCiGaMo0Tje2i2eD/ZHLg7FEnwmY/4VdD5pycYJew+qcYPVEgvDdyxmzZo16JtEojn1sa1QcwDRZ6OnVMCMZBnHQrF4vA/8t4wk4NYGHk0uFM8x1mBHEabcGAEVJ5TPY1x+esxsFCMxTdVZGCmQYn0F/PTjwR9eOlERh687bCw+eV83Mz57A4LW3DS3sP/mtZho8F6NKfTxCKinFmcY7npIFPVlkcHoUOsOKdfn7NIcQeOMNaC3QaELMJLmpscHR6hOy1nNAsZJ3QbAD3/4w0Q/BYmz0D62qhz3eCQW7CLx/LZaEcT+n0Heg0RUHlCJ2VHbqvztwbktxy2xAHc2HsDf+d36KhHE4nMwggCOq5LxXAt6i03YjMYjqTsb+qbqxqereL6ofh4Q9CvovlxOhyGsl4+3Ko5Qkwrjsx6ExqA4kzYcaRKBLFOjEonVKqd+laqRizUw4RyXANy4UCEfnR2b2UrD1l7FQV/BWFCeQ89tqaGdBtHc8FybZZNi5xIXCezFDR2NtKeuLS7mKoMBBnrCPRET0gszreMIBSR+55UwNY40dAo3JNhJzovx/AbG8skF4tAAxQBOOInGybZeau/1CxrYuIK0uP3dPhs9Y1TlTrb1CPoFYnue+hprnDshX6w9tLmxFg1lJxnH4KE8L004AnX7AuK9MIJLGrRX8VwLoD9hQCcGR+42iPUuV0hBB4tHdfY01zgD7A2wFmWtTaytRRnoijAdbuMR45g7JCKxmFmi2lEfbxPFl0QCf/8dNbE4f1L8aMxGtKOu4AJUUaYhCmK26ljosXLlygH/LSUlhSZMmEC33nornXvuuXF9XnYGuztgqm68uIs5aclio9hW3SIq1TedM5aMsEGMy0+LK5+ZOdtGae9yhRoVIbSf4wGsOYjE3z3cKNZCrK0LjWYnyUB1flJhhgge8PfH5scvwe0Paw8qwcOskuy4rQUk9kg0X917UlRF4zFPZvDaq/iuS+aVG8E1bv2RBmHqAF1YvDRHwJLxebSztpU2Hm2kq+ePoUQDQXXffJv47Q14z12OJGrpUuapJLJ7A63NqfZeUQThwZ5xTSwMZEe9qzb2s78SBVN1LDAd+6233hIX6Pz582nBggVingUeGz16NFVWVtL5558vRdyJoL7E2PUlEiumFBlm8I8mzoyzgFpzhjrVKagfdl0LXAXlv59IgIbEnHrmecefDpX4KvXaONOgGCwMZtcZ4ySZ8Q0e2AnHCBqDdw42xs1aVI8l6kBGo3Qs0ElEZxsd1ngWQKDz4r+X6CGa7Bg4Z0x23PRnALMp0MEDPdEI2KlS03jujJVgqsSivr6efvKTn4hEAkPyfvzjH9PatWvpscceo/b2dvrPf/4jHvvWt76V6KdqC+jtJOPFqWfw33vnYEPC7VY5kIx3VRIVwFS3UwydqmpK7CRyJDb4LIAVcQ4mOcnEWkz0pF1Q82C9jOChPD92Q8CM7ISD5Ip51PGwk9SDaVdwpOrs9ZNhxLpxTjJ5LYj1mOD3YVOlckagmxRPQCiOPAYUyROqziWRYMc2nBOo2McTXBVPeGJRozpIxok2zSjK9AhTAzDB0MVKNPyBIO2uU56HUTQftk0skESA6hSJ//mf/xH/BmBY3v79+xPw7OyHjUebhG/86GxP3NyQGLPHZAvnE1SAEt3e7LOTjG/HAgJdphYkmvKAzwBTn7NT3TSvLH4tbnbUwFRjWJtiTRohkJxQmE7uOIuHOXhNdMcC2orGTq+wQ54fR7oD0xHL8lKFI5IRpg0ngvrCNqOw5U70YDDMl+FgFtSkeAKaFlTGjdLZ5vdhuurgFk9oc25OGKNjEe8zAuC9yAgDVQ/Wd4jzCrO/YjmFPlEwVWIB2tO2bdtOe3zr1q3i3wB0LoqLjeFnb3Vo0zNjPEl1ID41Vyf5eSR6GFq8kyv93+TpvokCT0KHsD7Ws0wigbXH9KtEroUw6kscxZkMDl7hNpLILh53K6C7indlFmuBuySJDib1w9DiXXQwSqKJmSJwvkHCNyrLE/e/v1J1oVptAGty7lhg5ky8Ma04S0v6Eyni578f744FsFTtmGHmUaKxXS2GwmDACA5+tk4sbrvtNrr++uvpoYceotdee41effVVcf+GG24Q/wb8+te/Fh0MidhjTUV9Qjj1jPNVu7pNCaxAIHCACw32BlSp441Jo4wxy4LXAh/k8QZT495Sn0fCHaESEEiCGpee7BTVeogkE4V1h9lOMjHDK3nKNwvIE4WKOA9DG0iDdTiBHQvuILLeId5YaSDKbCI7FlzoqGzoTBhddE9dKwWCIeGQBpZDvIGiF7Ctupk6EkwPfOdgX/HFijCVK9T3v/99Kikpoccff5y+8Y1viMfKy8vp//7v/+gLX/iCRoWaOHEiWRl/31ZL/9pRR9cvKqPLZ49OyHOoaeoSomFUp89LUACxUB38s6OmRbiOxLs6Gu4IlZ6QCbc83TqRdIf69h7afawtwUmm0inBRFesTUzlTgQOqAlePB2h9NV6WNyCbgAKTiKSG1yHm9RgMh5TdQcalIe1gOQqsWsh/u5gejBNMpEdCw6m5ybIoYsd6po6vUJ3E2+dBwMaD+hdUIBKxFwRBPOYlwBnKHQ02YI2EdcD9B6JsFfFPjA2L42qm7po45FGunB6YqaQB4J9lrtcBLEaTNWxcDgc9MUvfpGOHj1KXV1d4ob7eAz/BkyePFm7b1VgVgAGDvHiTOQk1YVjcwWvPhGYWJgudBbQeaAakghwpyDewm0G/10cFtiwEoG1Faq16JishA36wRpcoLbXEzWFG0E1U9ISQYUSf5fnFyQomNx1rJW6vAERzE1L0HuQ5Un8WgB2H1P2pGkqvz3e6Jtz02EA8Xpi3gMkmFzsSCQdaktVk9atSET3ShQdEmzukIghsgO5xiUydtpZq+gRMXNnrgUdoQDTRuAej0fc7IiF6oTrbVWKw0IiOfXxdoOK3Cz5vUA1KpHUl0RVJUtzMTvDIYJaVGISgXfVTTpR3QoG//1EcesxTwQ0pEyPS9BfEoFEBw/MHUZgn0jusBF0FjtqlMRiboJcX1jXAZvTLm/8qR8tXV4xPJQNFhIFpkOt2Z+4tbClUjmfFqnnVSLAiT53DuINHuQaz1kmkViusiveTiBNcq1aiEOXHfOHrAhTvarW1la699576YILLqBZs2addrMLeLAMNohEeDKDo4mBZPGcpDoQFqgbNW/c8QZv0vGcshxZkeONGp2sRPKoE0Uz0FNgeC0kYsLsPp04M1GTVBM9ywK0RCDRw+mYYgChZiK49eBw89TrRL0X6BoVZCjDCQ/XdyasmwvtT6YnMV1tTjJxOWKvTpTtLBe+Fo5LHKdem8aeoKKD1t1PYGIBeibqHSgC1bV0J+Q5rFW7qFalQZlOY3H77bfTli1b6JZbbqHc3MRl/olGUZbiyYxKFCqE7I4UL8CurdsXELzNRDhc6MGHNntCxxMIXrVhaAls74JHvKeuTQR18dbcgDeMGxKceE5S7Q/gDWN+BKxOqxq7aFycbfzY9SUR4szI4AFzTeDCkprsTEjHIlGcegbcVkCTbO7yieeEmQbxpkEht4VIFft1ooCiQ0NHk6gWx5vbrxVdEtitYOtd2M7uqG0VQd0Ni8rinmTy3pDIjgUXHRLRzUT3ChO3E+WQprcghu0sEj10M288Z2xc/35rt7IfATKxMAheeeUV2rx5s9BR2B2gACGx2FYV/8SC6QWJsJmNBCc2eC94jkK8h6G5nUlxD2L1mF+WQ89uqk7IPI/NardiVkkWpSeAO6wHJrkieMKhgVu8PxOtY6EOo0oEUKFmsSqqcvEMJhs7ejU6XqKHPiHRBdXgpZ3HxX4V78Riu0E6N3CG2nCkKSE6C80hLUHdXD0QxInEoiL+iQWootC/jS9Ip5KcxFAk9UWHutYeMV8EWqR4AXsRUJLtSYjGJLKDhfPhrQQkFu+qawH6UHTyrApTUaGysrKoqCgxdpZGA2sLeKppPMGuLzi4E42ctGSxWQH740wFYrrJxMKMuA9D02OeKlSFcDbeAm6mQRnFNo+viy1x1txg2jTefyCRXTxFpJmREC41T7SF7XKiDB36tZ1NgM6CZ3nwekwU2NwhEQM0E+2K1d9aALc+3nskAlgjaNBwTbLNK3fa429ykvi1sCKBFsRrVW2HlbsVpkssrrnmGvr5z3+e6KdhCLCV4+bKZkF5iBc6e/20W7UQXGyQYJIrxPHWGOw73m6IzRKJDapAcOOJN7ee3bjiPWH5TN0bdt6IJ1ARxjwTTJtOlBtS5DCseK8FHn6VCCvLMwm4dx5rFcPq4gXsx5xwJzqYnJSgAZr6waGJdAHS7wswVUBXO557A94HzejEAMEkfxbxHpTHwu1E6isYs1WaZHuvP65d/lAopBU5ZGJhIBw6dEjMr5g7dy5de+21dN1114Xd7AS00lCpF77xcRwQh+EyqPigjWeUVh5z2pnHGi/sUiu0s8dkJZz2gc0SwAyDeFbpuRKaKDvJSHBQi+cVz2oU20mC+pJop49EOUNx8DDFAMEDUJztEYE1tA7xdI3beLRR7MuoDifSAUc/JA8UtXgORgOfHjMTIJRN9HsA4Jo8Xy3GsStPPIC5OqDMYsbSkgmJL8Rx0SPeAm4jWM3qz8tlatHhLTXpiweONPSthXMTNDAyXjBVx6KsrEwIuJcuXUqFhYVUUFAQdrMTQHlgbcXbcWz1Mw1qiUG6FXrqSbyrMDvUylei7CT14O7Ru+rU43gAuhaI+LFRlidoCFkkYGqQmeIibyAoZnvEC1sNYCfJmFqcmMFozKNOdAdPD74241mlfstAGjRobjAYDewf/nziSYOCzgnaJyNg+ZSCuO+RvBZwXqYlJ94rJ9Edi0kJFvKfZk0exzk3a9W1cM64vLibasQbiV/pQ8ATTzyR6KdgKGCjfG5LTVw9mbl1uHBc4gOo/iw2UUWPh3/+ybYeOt7aIypycKBJNM6fmE8/eeMgrT/cGLf3gIMHULESXaVn4HVjIBkogqDGMS0o1thiADtJBgf2WJ+oHMdjaKG+e5WoYZH9YW5ZNj2/rVYId+MFI9EdkNhML86i9UcaBW0xXnsVd8uMoK9gIKBjLRC6mfHQxRlFX9HfWQlqTjwSX9DPeJ6JEbpXwAXqoDyshYaOXirISInbvrBc/dtWhjGiAYlhAa1d9udGoBvPAyPRNrN6lOeni6p5jy9INc1dcfXrB9Ug0W5IrHFIdTuF1Wq8RLvaVF0DBZL6tblX1QLFGmhvg2qCXG6+KqRPJOD2wpQH7jDG4z0Q3SuncbpXencqdCziMdsE7wPoL1gLTL1JNNj6N558ciPpKxgogGDaMdbpflUfF3OtzZFGwySZHNhjbcKG+VSHEuzHGqzvATUwnk5UZwIsoPmcgIg71vD6g8KdzUhrIZYwXWLR3NxMf//73+mxxx6jH/7wh2E3u0H4c6sHJ1dGYgkIIOsN4EXdH2eSRWHx4pVvrW7WKqJGABIrdmZiR5pY44CB7CT7E/PHS3PDlSgkd0Y5OJmquOlofFzjmGYDRyijdK+A6aMzhR00AilQ9+K1FqC1gWe+EcCWt9vVSeDxwAGDaa+4m8kDVbeqmqhYYsORRur1B4UW0giiZQC0tHH56XE9K9kRyijdCgYH+PGInd6rbhYJLTojiTb3iAeMcwIMAhs3bhQzLO666y760pe+RE899ZQQc3/5y1+mp59+muyIFXG8OLgKBdF2or2oI8Et93jxylkAyO5cRsD5k/Ljmlj0dSyMtVFOVelPB07Eh1POAkCj0B2AJeoUdHYnitdaMFrwkOJyalXzeCSaRqJBRSYWB060UZfXHydanPE6FsBC1b1uaxxMLtYcqBdfV0wtSrjWJpHmDkY9J3i/BpU81t3MdeqZfN7EfEOthVjBVInFPffcQ3fffTdVVlaK7/fv30+1tbV0ySWX0FVXXUV2BF8caOf5Y+yCo20QBsy4uWrOlbJYor69R7O2XWYgvuSyScpaQMu11x9bBxhwlI+c6jRk8MBzHMCdxdC2WL8PfGgYKbHggXAQacbDapUHsLELkZHAAU2svfux/75jwLUAd6xRWSlCwL37WOyTK3SGYH0NWty4fOPQ4gDuWDCVNZZYoyaZK9W5CUaBXmdhV1ocANoqupk4J2LdzVx3uDGs+Gd1mCqx2LFjB91xxx3ivsPhoN7eXuEOBVH373//e7Ij5pZmi8E3EEjFWqB4wKAbRFjHIg5VmLfVbsWsMVlxEX0NhfYBoS5aruxSFCtUNXYK5yXMbTCK7TAD7itjVZ5/rPUmsPeFHzqmXbPlrxGAdcAJFge78Ugs+G8aCUzbZEpGrAANA2aZwIUp0ZPHIzG/TAmoN8fBmlwzdSgyjqkDg3n10ES19/hi9neONnRSVWOXCFyNMEi2v8QiXh0L7hwbjTILWtgM1Z4cNvqxQnuPT9M3GYnhEEsY66o/C9rb2yknR9mwMYG7urpa3M/NzaWmpvjNcjASsHFz1TzWdCg+mNnO0kjgTQsWoxBKxRJsUccDuIxlQayuhRjb6PFhgaAtHg5UQ8WUOCWab1UodAe870Z7H1ZOLRJfV6uUjFgBNIJDajBpJEcoBic7sa7QMg0KgSR0X0bCueoMBbjG2dXUgXWJxVmemAfWTINaVJ5nPNqw1rHoELS1WKKp0ys6AoBRdCb9DVSN5fynLVXK7C8Uu8oMZGwRS5gqsdBj1apVQlvxyiuv0Oc+9zkxNM+uiIfOwmiTVCMBgRw2cH8wRJWNCkUnFsBGzPa+RuJRn+bPHeMhUAcMHDwA0+JEjTOanaQeTMFAwBvLAKKutYc6vQFRnYVDm9HA+xWoe7Gki76l7gsrDFZwALhqjo5FrAflGdXUQd/ZBZjOGgto9EiD0aAAuLaluByis300hmclwDFDWV6qIdwTI8Eufu/FkBq3XU1ajDDjKF4wVWLxyCOPaPcffvhham1tpWuuuYZ2795NTz75JNkVHNTAUhEVglhPUoVtn9GAaj1XJmNZidpT1ybe4/RkJy1QhYBGwrJJigUxDk1oQWIF7gQYMckM09yciF3wgPeXOes8rNJIQLUU67Shw0u761pjHjzAbSYeswGGClD1QNkDda+yMTZ21K1dPtqlDuHjQWxGAkT1RZkpwqUolrQPI4t1GdPZjjpGlrNI4jFHBzhXNVEwGsuBBf0bVQtUu64FpgjurVNmm8R0kG6ZseiRsYTxToGziLcZpaWltHr1auru7qbt27fbumMxKssjKrQwNng7RhQYbZJqvnEmqQ5If4kh5YFpUEsnFgiLV6MhPyOFZqm8UdaCxAIV9cZOLPpcwjpi5vixVqe1iccQuqEC65NpkmtU56pYwKgOQAxQ1JiGEau9Yf2RBiGORgA/OttYmiMuvMCRBnj3UOzoUKCh8sR7I5p8ANPUxCJWHQvsjdA8IpmdqVpfGw2c8MASN5bg99ioewM6KWA6+AIhzYwkmgiFQppRACdzdoDxIiOJYYFbrrGiQ2ntbYNuEPGy0eujvhivKsm4QH1unARFG6BSVDZ0Gjp4GF+A6nkSdfT6BVUnljzqVaqWwYjg5/bm/vqYa6+MqK+IFHDzdPBoY50arJ+vBu9GBNOh3o6hmB/zTBCkYRCd0UwdGNPVPQsJcSwogjyUcmF5riE7eJGJRSytVnl2ypxS4xhbRCbcTJvdH4PudnVTl5ihA4c07pTZAcZc9RJDBvN6YTsbi42CD2Sj8mbjYaMHd4dtVUqLe8UU4waTLCqHFiQWBycqkvi1cCMDvcKIQLV+QgFT46J/YICrz1obo9lJ9ifgRjs+VrazfY5Qxt0bNAG32mmLFafeaA5AejBdb2cM1wLPCkFXwKh+/ePUogN0QZiUHqvE4hzV8tmIgLYAeyQG3h5Ri0TRBmam8FlsZBrQNFVzA2vuaGO72q3A0FYjMhxiBfu8UosD/twuR5LYKGLhydwn1jVy8KA8t6qmLur2Rl+gCEcViMPhzT7WYP7skWsB7V1oQWIxFEzPmzVq8BCus4h+lRqBOugOSK7mqTxdIwIzDPA5odYQC9vZMEcoA7q+MHi+xqEYdCzqWrpFcAb9GQ8mtONa0FNf2NbViEAXgXWCsShC7T7WGjYzw4gAnXmBKlx+N0ZOYdAjwg0JxSd24jIieKDq/hiclfvVZMWolLhYQSYWFgE2Cl680Rbn6SepGtFqllGQkSzmCeDgREs+ZjazBnQAijw4l6qUjFhQ4/p8yY27FgBucccieGDNAmxmjWYtOiA1LgZrARVfdoRCJdio4IngRxo6ou4MxbMhZo1RZgrZdS2YJbEIo81GeW8ATRSFLSPTRBnnqzMV1qmd12iDtQXoVhi5AMXUuFh0LA4y08PABVmye2JRVlYWtd+1Zs0auvHGG2nevHm0ZcsWsgLmqy5F0fZk5uABPEEj2kn26wwVg2CSxbpGm1/RHzj5iUUAYXSxLoOfXywODBY98twQU6yFg6eiTpPkg1PRtBj3OGFnKPD/o+0MxXQH9sS361rA70OVGjA6n1yjzUZ5b0BBC29rfnqyoYan9ofl6lpYd7ghJjbMG1THKbZ0NXpn+3hrj+hCRxOHVOqlkfVnsYBxT4J+0NnZSc3NI6/Gf+1rX6P77ruPzj33XDHNu6Mjtl738QK3XreqOoBogSu+EwqNHTyEuwFF98CobuwSQizQzc41sECTcYEa8GItQMAcTXCgzvQSo6+Fw/XRrVKjKrlDFSUuGW/8tbB4XB553A462dYb9YR7n6pfMXqSCWco7lrwYR/txGKewQMoXguYYYC1EO1J5KCDITDD7zd6tb6vYxHd94CNQ8wQSM5WO2yYFr+jtjXq7mDrDyuFuOWTjF2Iy/K4aXS2J+p7Q48vIGIGM5yV0Yaxo8QI3HTTTfToo4+OuNLyzW9+k9566y267rrryErgihncDaI5fZoPIKMHD+G8+ugGD6jqcPXFaJNU+wM6S+X5aUITwlSNaACBAwsejU53KM2NzfwCBJL4neAO4z02A02SXWCi3cHaqSZYCFKMDj7coxlQY5/lKr2RtTb6tbAkRmuBC1pzSxVhsB2LDkaf26AHKJznT8rXTF+iCdCxwXJA58YM+gJ2jYvm3nBYNTnJSXMLmradYOyrPwJHjx6lBx98kKZMmUIf+MAHRGKgvw0W6enGpfOMNJDKZE/mho7ob5YGr0LFsmPxjglcXyKxUKXGMdc1GuCEDZPOs9OMzScX8wtiYEHMri8I0IzMHR7IKSya2KUKVeeUGr9az1VkdrGKBriIg+ABpg5mAHczo21HzY55RhYt68/KVHf0iw7cETSye2J/TmHRnn/FSSvm6GAfNjqmqN3MaJ4Th9R9BqYWZjknbJlYjB07lm6//Xa68MILqaSkhAoKCsJusURvby+1tbWF3Qzpyaxap0Vz+I8ZZlgwOJAEXzJalooQr7+rJhaYbG0WsHf4zii2uXldGZ1DzZgaA80Nd4DOGWf8AIrBHQvor+DUEg00dPRq3SsMCTQ62LWKNULRAF9bSKzMEjysULn1G482RdU9jzsWmN9gdCDY1SyIo7geWLNhho6F/jx7r6ZF2KlH3ejEBHpEfWxzMIpUqINq92OSzWhQgPE5HTo88cQTCfvbDz30EH37298mowMB3+bKZtp3vJ2umT/y34cx95x5s8uOkQHOKLQgmKK5paqZLp4xKiqaAgy5SU92GtqPOxJz1OcK33rQB6MR+JgusVCtBKMp0uREe7YJqvQMdBuxfqG3QSAVjc+PuxW43jI9xu5e6YMH7A2gv7iioBfjoHS6WtAxA5Tp4B5RfNl4tFGbdTIS1Lf3aJ0gtjE1w3qAtgDX8+WzR4/49yEw52GcXOAyOsry0oTxwtGGTmGnfsnM4qgUHHYfU86J5QYeJNtfNzOaVKiDapLCCaydYKqORSJx7733Umtrq3arqakhI4IDhmh1LMATRLsYFCu0j80AFtRuVJ17Rgq270WL3+jidT2ggYDYvKHDG7Xp05qdpAl4s/rKYbQ6FuiCYVaM0ec29MenZte4aJk7bFE7N/NMkmDBGYrpLyyqjFo310RVSRQYuJLMTnfRGhCIzlW+wd2QGEztjVaVmoNSzGwwuu1wf12LaNEkWa+B86co07jzK/TgRPBUey+1dHmj2rGYbKK9wZYdCwCuUKtXr6bq6mry+8Pdbu65556Y/d2UlBRxMzq4q4CORTQDSVCszNLqXzI+j57dVE2boiRaZvveeSbqVrBQE1U5DMnbVdsqAquRoNcfoH1qIGV04XZk8FDZ2ClcOvCeRKNCjSQ73QQifj1AUYFWCFz4j5xbPuLfx0GpWXRH7AyFTguCwAnqkLSRgKv0ZtCfRdrOPrelJmo6CzNZcZ/mDBWlbmaFyfQVDFhm/2FDVdSGJrK+wujznvSAIQvOR1A7sTecMz5vxGdlZWOnaRzCog1TnYwbN26kK664gjIyMqiqqoqmTp0qBN1er5dmzpwZ08TCbJsl2pGYvIyBcSPBfjVBMQv1BeBNARNQQf0YqYvT9ppmU/hx9wckmkgswCu/bNbI2txwv4FQFWvKDG5I+qGJuBaQJHPV3g6uL5Fg7vvWKAzQbATdoa7VNLM89PsjEou9da0jvh54j0W9hSc5m6lKDU0taK4IpkZSdIAGjavdLAY2V9GhKypFB05QWNdlFmCYKjqaoEPVNHUJetRI1sJadS3wMEazAJQlXAvobo80sTja0CkcoTI9LuEeaDeYh9ehdiTuvvtuqqysFN/v37+famtr6ZJLLqGrrrpq0L/nxRdfFIPxLr30UvH9bbfdJr5PpIYjWkAVtSwvNWqiNASlZkssSnJSaWxemriwNxxuHLG96uFTnZqNotnA1bOKKDjhaK4vY3NN073C88Tz1bs52cn1RQ+2hK1q7BqxUBPVTbh+I3EtyjIH3UE/awJi1ZGCdTvYa1KTRxaUxhtwdOP1wJS2kWjQkGTB2tkMwm0GAr4sj0uYGUB3E7WOhcmKDtBHsVX9SLsWiBd4LSwqH1lwnjABdxTipoM6i36znJW2TSwwzO6OO+4Q9x0Oh3BqKiwsFAnB73//+0H/nmXLltHTTz9NzzzzDL333nv0t7/9TXx/9dVXkxXAfN+RJhYQ/O41ySTVSHC1ZE1F/Yh+D4TPHDyYhTush+Z8EoV2P2tNzBQ8AOdOyNNccEaKihMq9cVkwQOQm54s+N/RoH8w9YUdhswCDqBgwYzqqh0DSQYbUYzUNY7pVEsn5Bt+foUeCPi0CdxRCCZZY2E2Wlw0bWd5LZw30VxrIXyWRTQSi3bT6fCiCVN98u3t7ZSTo2yGRUVFQmcB5ObmUlPT4IOGvLw80aGIvBUXj9wRwVBV6hFeIKhsNnZ6KdnpMJXrCbBKdTpZc+DUiAYqssbEDAPAzuiE09AhHL6GC7yHWyq5Y2Guzg1brW4+2jSiYVh4Dw6YPJjk63gk5g54HzgAMROPmoM+TCFv6/HTUZUDPVzw1Gazur5wB5aLJ8PFWwdOmY4Sd/oE7vYRUwNRqQd4wruZgHkTwLpDjSOyozajvoLB1zF3G0aCA5xYmPScsFVioceqVavoy1/+Mr3yyiv0uc99jubOnZvop2TAKnVHVCrUs0uzKcXlNB1vFAlRbXO3cLayw9Tx/gDuNGxGMTSxsqFzRBsl3JAQlJnJcpe7beC6tvf6NWrfcIDXD2oc+MiwWDUjuPO4dwTmDvq1YLbuFVzduEjApgwjrUqadW/g6xiak+Em3KDU8VyXaNjWxhtax2KEHTw+J9DZTks2lXRVYG5pttgjsb+xjfRQ0dnr1xznzCTiZ3BCiGIqJ4nDxUHuXpl0b7BVYvHII49o9x9++GFh+3rNNdfQ7t276cknn0zoczMS+KCrqG8fUbWeNwmzVagBbO5LVAoMuhYjdX0xq7MD2v19Ld6OEVclQXcYqcgx3kAiwBbEI7FUZPoQhOtmew+iaUf9tkqDQifIjO9DNGx3sa9qe4NJ7SQnFKQLG/EeX3DY08hhM+sPhsTvGleQbtuOhdlpcZjpcv5E1XZW7ToMFXBhRAELjnlmXAuIGZAYjpTt0ePrc4SaUmzOuMFWiYXe9am0tFTYznZ3d9P27dtlx0IHOJTA8aOlyyd8me0wSfVMdKjVB+qHHTwc0g4M824Q0Zgw+5Z62JiNU89YOVV53muGuRbM7ggVmVggSRquxoB51GZyAOpPc/Pu4eEnmZgNg+oudJlm7V7Bfnd6ycgSzdX7T5m2W6G/ltHZxuc5XHBiMtXEgSS6/HqmwlCxTi3a8FwMMyIadKhD9R3COCYnzU2FJtRl2i6xkBgcUEUcl58+oio1WoFw+wAWmszdITKYhBsQ2rRDBYbKdXoDYshcufp+mhFcUeUJ6kMFLHuZ7rDCpAHEqmlFWrI83AFI2jA0EycW4/LTBEWw2xcQ1opDRbc3oIngV5jMTpJxzvh8cU1DQwZ7zeGAr6WyXPN2r/SB9XDOCRReuGizapo5k0wYGmDyNLC1avjmDhUW2BtmqRRB2IoPB+tUB8bzTJxYREPAfVCbuG1PRyjA8GTAyy67bNA/C72FBGmL+khDp6iksDBrKGBx5sySLCo0qQ8zDgxY79Y0ddOGI4104fRRw+JQ4/eYaeJ2JJjGNdwJs+sPN4oWNyhAfAibUWuCIArXA3zWPzC3ZMi/gy17zej6oqc8TCzKEBVqJEpD9awH3QGzTEZne0w3u4GBuTYYdrmlqllQeW48Z+yQf8chVbdlRqFutIw+oFeC1gbWoiP1/U8kzhmXJ+YOIGF+37ShnRGcYPH7Z1ZaHBs7IA7GZ1rf3jOkqdkoRHLXC45QZu9YjMQ174CqbTUzy2GkMHy0NGvWrEHfJPpr6bWPiFNvVuoLgGoBP3+m8gzXi9rM4CoMDs/hOEO9pVr2mnktACvVquqa/UOnQ4E2ZHaxLoMHeA2HV665vkwuNHU1jqeFD9e3/7CmrzB38DClaPiBFGvX8F6azdxDD06KhjvnBp0/uIy5ncpkd7MCGgMuFgy1a8HvHebaFJiY/jNHdUqDgB3Ts4eDPergULNZ9NuqY/HDH/4w0U/B1JWo4QQP+umZZg8mEQD9cUO1FhANBVzhN/NhAZRke4QzFGhdVY2dNGkIVTVU4ziAMPtagObmybeO0JqKU2KNg2M+lOChyxsQNCLQiexapTarzWwk0MV9/I2DomMBe00I/IezN6D7Y2Zwkoz1DcojujlD6WSanVOvTyx21bZSl9c/ZFenfarDGoJys81uiAQYCqD57TnWqmkUB4P3TDrjKBIwIchLT6amTi/tPtY25NeDc2WHOnzTjAN1owVzXwUSg5gi2TFkZ6jdda3iwsIhs8DkGwX4nuBTVzZ2iaDaTo5QDFSWJ+nWw1CALgeEjQioeR6EWYFDAi44WNs7h2ipyBVdCHVBJ7LCAM2hVqlPtPYILj4aFedPMvdaABUK+1tzl492D8NekzUWZi86QGOACdRD7W6DDsfmHmbfF+BihOIL3K2G07VgCtAMC1SokVjok6XBYrsaTOO6MvtZuUBzjRv6WoAbVFuPXySYZqbMjhSmOyHXrl1LV155JU2cOJEmTJgg7uMxiXBAvI3WLKpQECEPr8Wdb2ptAYDggasOQ+laKI5Q1qBC6SkbQxVpMoVs8fhcSh9CNdOIwFpmCsxQO1h9ri/mXwv8Go6c6hzS/AJU94E5Y7IpJy2ZzL4WmAs+1LXQ1uOjk23mHYY2oD35EBKLXcdahAEAqrtmp4MJyqzmGndq2ImFFagvwzH6AL2WZ1/MN6E1fSQWjVPiBR4IOxTwFPtZJVmmj51GAlO98meffZbe9773kcfjoTvuuIPuvPNOcR+P4d8k+oCMmYW2Qx3+w8GkWS0EI8G0jbdU//3B4ERbjxioBooEO2yZGXz4D1XAzWvBjAOPzrQWmNJjF5/6SCE7BLfeQFB08gaLd1Xqy1LV794qa4HtcwcL7vqh0p/lcZPZoZk7DKHosOFIkyZ8Hgql0KhYMaVo2HbUVkosOFFGp3qwRQd0PjELBQP2JhSYO8kEFqmFSJg7DNWSmzs3c2xMgzJdYvHAAw+IQXh/+9vfxEyLu+++W9x/4oknxL9JjLwS1drl0/iSZudRM5gDDMvUwW4UfMgKe06T82b1wcNQKlEQr8FNy0prYbnqkLatukVMDR4smDZk5hkWDASCQ7VVRAeP5z6YnQbFYM0Q1gK6EIPFXlWcybQRq1SphzIkb5tKgzKzG5QeSndeocxWNnQO6bzk5ByuSlYoOqS6laJD9SCtmHfU9tGgrJBkIimAJhGUWTifDQVsBrF4nDWui+HCVBHT4cOH6frrrz/tcTyGf5MY+VRRXBiIvVHhxiZjBcwoySKP2yEGIB1pGNzhaQX7QD34dQyF/oJWMCpRsBuG24cVAHtVdPIg2OUK/GBa/XjfrEKFCnOGGmQ3ExXM4609QmuzyKRzbfpbCxN4LRwa3FoAIOoEZpYovv9WcRAcStGBzxSrJFeZHre2rofStXivplkrQOWb2A2JgcSABz4Odj3sV/UYOGetABQSuSs7FDfJupZu8Z45ksxvaGCrxGL06NH07rvvnvb4unXrqKRk6L70dhJw281aVA9wHdmhgQWHg6a+WCSQ1FeiqgZZieqbsFxgamvRgboWg6VDHT7VId436HUg9LRjN5OpL+BQpyab11o0GnSoPcet1bFg+gs7Q50N+BkYOliFGsjgIX+rh6Cz4M6N2U1O+qPN8qyWs4H3ECt0cxmsuRlKYsFarbllOZSdZn6KpG0Si8997nN000030f33308vv/yyuN13333iMegtJAaYZVHfPqgqNegOb6s2s1ahvkQKsgafWFhryA0qURxADDbRXKtqUqyUZALLVb0Ir/XBcqjRtbFKgjXUbuZ2tTLL15FVcIE6PRxBwWDc8+CGVKEOwOJJxWYHhPg8BHUwVWoOJKExgauUVcCaQtA/e3yDm2EAGh3ATkJWAJ8TbF4y2OGAVkoyV6hnBBLHwVJmuThxgUX0iLZJLL785S/TD37wA/rjH/8o3KBwe+aZZ+iRRx4R/yYRDoiOszwuQWcZzMAbVGYF3cHlsAx3lrFQJ8gazGZ50IJVGNZZ7D9x9rXQ3OnVAmp2UrIKlkzIE5apVY1dYsLs2cDWi1YQZzKY0oX3YDBB1I4apUo/r8w6ARRbpYLehQo86F5nA4IodK+wr1qlexVm7jCIRJPNQKxCC9S/B5go3+sPiincZwOKdSzWNfv8hn4Ti0F0LBo6vMKyGfupFRzSGGPzFcqsf5CUWayFdyxalLV8YgF8+tOfpkOHDlFXV5e44T4ek+i/Sr1IFRFBuDzYCvWS8XnkcVuH7qAPiMCVP1u7H5QADJODmG+c6qxlBcAmFOABPmfCNlXAD76tmSep9gc4+XDCuK2qxVauLwxUm7NT3UJfwPqRgYDrpUJ1E5tbao0qPQPD0LgLMxjbWRawI5C0SvcqjP4yiI7FAQsWXTTbWXYQHAQd6r2aFnFt5Ka5LVWt1xKL+rPPwOJuRXlemuVihgtUyuxg9oUdta1ifgUKDnMttkfaIrEA2traaO/eveKG+xIDY/EQEgt2NGAOupUAv/VRWUqAfOAsFXumCsE6z0pe1PPUdj2qbGc7MLizs9BCLX495quvix3QBgLep77EItNSQdTUQeosMEAOywVDxIqyPGQ19Okszk6NY/oc0+msAnYJG4wzFAv+raI/00NLLFSt4ZnAyQfWwlAntxsZ5eoMrC5vQBTZzgQr0qD601mc7bxkvd6yyQWmH6AaDZjqHejs7KTPfOYzVFBQQAsXLhQ33P/sZz8ruhcSp+Oc8X3DXs50cYA7zNaiVjs0GTwZde9ZpopqjlAW0VfoXz9obmhdgwJzJrAWxWqcegZTF86muQFFBu1+TG+3UsdCv77PprPgDhdEiVYEc6LXH24UFssDAZQxnsxsteLLUObcWFGsyzhvUoFIEg6f6qTa5jPvkSzstZoGDcU0noF1Nj2elRMLPU3yyFloktzVkPoKEyYWSCDefPNN+stf/kK1tbXihvuvv/66FG8PgNljcoTVamOn94zVKEzORIUiPz3ZMtaikeDAcO9Z9CasR7Ha+4Ckgp1smBs8UJK5w4LcYT0WqBNise7PZGzAlLCZY7It1+pnjvzZBmhyx8YqYuVIoBMF8TImSZ8p0UTXF/z74iyPpfjk+o5FTVM3dXkHpoo2dPSKRBssMKsVXgDQA+erCTRTg/vDqfZebdq0FTn1g3WN00xOLHZWMk2StaZnosZhlgmfp1ZcC5ZPLJ5//nkxEO/qq6+mMWPGiBvu//WvfxWPS5wORYidf9aLgykhoIhYiTvcX2LBgdJA2KkO/JltwemZGGJ0NgoQDhMEUFkWmaQ6kLEBhiDhdVY2DlyN2mphSthgnaG4IGHFqiSA/Y4DiDMl3CzOBN3BanskqKIoKgGH6we+HjjQHJuXJgIvK2IwdCimvswak6U5alkzsegYlMkJd7yshpUqHWrNGXQW6w4rs79QbCixyOwvWyUW2dnZIpmIBB7Dv0n0j5XqRrnmDBslV2YXlFsvmI5MLMARHmgCt36SKoudrai5Wa/S3voD0yGmFWdZYpJqf8Dr4or9mRzTtMTCgp0bDh7Q6h/IUhHibhb0WjV4AFhwuVN1v+oPrMGwGg2KwV2YM1WpNX2FRZNMpkOdjT5sVRoUg23Wz7QW0LWBYBlHBA/Vsxr48914BgtiSYMyeWLxgQ98QMyt8Pn6DkHcx1wL/JvEmUVIm482U2c/jkjYPK1cmWVgOio6OKA88ICnSOw81qJV5Kzk0c5YOiFf0BhQiapv699qlatUVqQ69N/B6v/whOMLd7esmHCjSo3BiWeq1INnjq5OisshJlVbFTxAc4farewviLKq/XLk9XCmRJsDTavRRPVAFwLnBOjD/VkQI9nmYHLFFGX2hdXA1DgUFQYqwnHBAWdlistaNFGG6EKoFsSsQY2MnbTEQp2JI2GyxKKqqop+/vOfU1lZGV166aV0ySWXiPt4rLKykq677jrtJtGHCQXpVJaXKvzXIVCMRF1rD51s6xUC1TkWpP8w4NYwqfDMgtWdtUrFco5FLeOQLLHOYiB/bm5vW7kqORhqHK4VnKk4OEdnW7PFzRSgzQP49nOSObEww1LON5GAfgQvD3N8TvaTcLPNLAwQrGa/zJhblh02DNGuHQsEydzB6k9zA5c0GGBkprjEJHorAvaxZyvC8ZwLq+mNTrMgPsMUboi6ET/hvVqiUs4lTJZYjB07lm6//Xahqxg/fjxNmDBB3Mdj+Dc4RPFNYgB/7n4ujl1qlQ7UkNRka1YeThOsDpBYcOJlpUmqkeCKK9sL27VjMUNNsPYOkFisOVBvabqDPrEYaCAY0+KsvhbSU1w0uUjZG3apxQU9WMhrVRqUftbP7ro2YeDQ/5TlDksOx4vEgjO4xvEZin3USnbkkUU4FBPOdFZyx2KihRML/f7f3zyLdeoZunhcruVjp6HAVOqrJ554ItFPwbRAy/aPG6qFzgIHhF58aMXJwgOBA6T+Nstub4A2qfM+rNzWPH9iAT351hEhRo1cC3gPalSbRStXJfV2maC5NHV6BTWIgfeFAwgW8Fk5scCwL1itRlIa2G7S6muB3aHQycTtohmjwtbCO4f6ZhZYmSoKV6TWbp/oTMyO6NpipgHogZhxwHakVsWi8jx6ko5o83z04H3B6g5AU0dliG4uCi/664HRp72y9t4A21kAFsSR5wQbOliVHjlcWDPdljgN503MFwcC7ARZnBzZ3rYybzYymOTXrMfGo42iUgdOJVdrrBpMgjN/oq3nNAtiZdqqwr+3KuVDX6UGRbC/RBMtblAA4GO+dGK+pWmSBRnJYt1vr24ZsGNhZboDgy0zI9cCrhFQRXHNWHWuC4ACA88q6Y8Oxe8L9karVuoj3fMOn+oIs99F0tVnLWrtYJJp0Ww9PlBiYfW9ISctmSaq4vRtukQTNuXMcFgmE4swWHt3kAgLotgRiCkeDNYbwAXI6uDK65FTneSLmF/AdAdUoqxmJ6kH5jFwpTqyvasNB7T4YcGYUtR/MMnWzHifrGqrCWCdc7UtkiYJ0SYHD3boWAxUdOBp21gLVptlEgme4dBfpX6/DfQVDFjIorCCIot+Paw/3CDE23BBKs21rpkBMG9sn6FBpDsWEqz69l5xn4Nuq3ewgK06m/adx1qpvdcvbNlnllhTkzlcyMTCRuhPZ4FqDPv4W503C8AFB/MLIGSviphfsPag9ekOjIE0NxX19gke9FXqyGCSfcutrK9gMNVrdcScG3RsenxBIUwsy7WmeH0wRYd3tH3B2hVqPe1j3aHG04JJHqRoh3NiIA3WW1x8ssEZAaMCsBwwEDFSwM0FBwyLzPS4yepY2I/mZotKm14yId/SxhbDgUwsbAR2N9ig82QGhxrnB4YjWXHQT3/zCyZplck+GlBdS7fYLLE/2KGtyfzgTUebwvy5+zj19uhYcJWaXzeA9wO+5VbXVzAQJKFBBz613hGJaVCgS0HMaceiA3QnG44oAcSySdZfC7BV9rgdYsJ25HC0AyzctknRAZobvWuc3lrUDgUHdOdYdxlpR83J1jT1PbI62G4cxg7oWOnfEysbvQwX1j8tJDTgQECFAVVIBJRh+gqbbBAsSoukv/AkVXCMs9OsX4EB1Wm06s+tdwTSqFA2CR7006e5QovEu1fV2lidPwzkZ6RowyCZAmaHiduDKTpsq2oRlpugxdhBgwbxPlNm2fGG+eSH1fVgm46FGlTvVed6oGoPATuq+EsmKO+R1cHzXd6L0F/trVOc09i63OoYX5AhEm7sBVx04PeE9TgSfZCJhc1tZ1lfMXWUPTYIfaCkTyzW2qjFzWuBXytX4TA8kVvedgkmwZVGG1vPGdam6k61ttZGjxVTlUFfcI1jcBfHLnobfdGB90WeX3H+pHzLTqGPBGtu9IkFBsWhk5OW7NSGKtolsUDxDUWHLVVKAQZ8eivrrvRYrGrx1kcMh+MhinbRFuCMmKpqUNGtOdHaI2beYEuw6syrkUAmFjalQ3GFnquSVvep14Mrbhw8oLXJMx2sbiGoB79WDqSZNwuXIL2lntXb/eX5aWHdOy2xsNFaYMoXhMqoTttphoUenFAfUl87u77AVc8uYCoogkmeZ8HUF1Bj7JJglecrRYdOb0AEkcyvX6Ty7e0AXvegg4EeB0B/xEJ+u3QsIjtY7JqG/QLGOBLhkImFzbBErUCAP9vS5dXa23agfDCYI1zZ0Cn49HC9QMU60+PSJq7aJYBAjICEAhqTPkcoe3QrItcDXn9tc5cQ7yKgWDrR+lobPeUhJ81N7T1+wR3WO0JNstF64H0Q3RoYW2BvAJZOsM9aUKaLJ1OXN6AJVJkOxMGVHQDTAi46wHZ2a1VLmJDXDtBTADnJxr6AhBOTx8ss7oylxwyd5mbXMYUKJmlQ/UMmFjYD+NQ83AhVenBGASvPbYgEROoYBAUNFoLIt1UaFAJtO4hUGdCSsG896FB9nHr7rIUwncWJdo0ShwMDa8QuQCLFbmjo2NS1dovAEnxyDq7stBZA/dl4pIl8gZDQ2vC8EzsAHQkMVAVWq9bk3LFgpyS7YJJ6LmLGy4ETbbZLLPTUOKYFsrZg1phs23SvIl3CWINlh6HCw4F9oigJDbwx/nVLrfgK2otdqC8AePP6KjXbzNqJBsXQdBYHT9FBmwm3I6lxFfUdmt7ELlobPfT6K04yUYSw+jA0PWBokJHiIn8wRM9uqhaPnTsx3zZam0hq3JoDp4S+wI4dC30H6x/bj4lCVGluKhVlechOgL6IaZJYC5vVLtZiCw+L7A98LmJY5lZVb2MXLeJQYZ8TQ0IDc0SZS85VGTthSrHymrFJ9k1StWEwqQYQ7xxsoH3H7TXDgsGvd//xNp3Wxj7UF8YF6pyGnbWtwhnLjrQ4JBAcTL6+72QYfdROwMwOFKORYL5X00KNnV7xvV0coRjcyUdn226aAv1sE9DCYOwBGhQ7SrKw2y7I8ripSLXkb+7y2bK7P1jYNrE4efIkPfroo/S1r32NnnnmGfL7/WQXRLZyJ9pIX8HgjsUzG6uVSaoF6bZxO4nk1oPy09bjpxPqDAO7BQ/j8tMo2ekQFrMdvX7BHZ6j2izaCajEckX6ybeO2JL6onfBUu3qaV6ZvSqzQE5asubP/+hrFeIrXHGsPnk8EpHaQztSX+CAxYMTcV6CPo0kc74N5zfo1wN0SKCWS5wOWyYWBw8epNmzZ9Mrr7xCbreb7rvvPrrssssoEOgbFGb1KgyCJ4adhNuMSLoP80jtBiFSVg8NAHxyO2kLAOhqYDvLmF+ea9tJqtzBYoBHbTfoO3apbidN1K0NO0HvFAYsVIeE2QmRRbdpquWo3fA+dS08/W6lZjMLyqDdoI+V7NbZHwpsmVh89atfpWnTptF//vMfevDBB+nNN9+ktWvX0p/+9CeyAyC4mlOWbevEInJTYB6pHcFTRe3YrejvddvJTjISkdqS2TZMLPT2uqC+2MnQQY+V6mwTxqJye1FfAATPMPtg2E1jwnjftFFh359rkwGBkZCJxeBgux3T5/PRyy+/TDfffDM5HMrLHzt2LK1cuZJeeOEFsgv0g23smFhEitXtZCcZCX1Lm4cA2TnRtHNiMX9seFXaTqYO/XUzZ9vIfjoSSKqyPH1Vabu5ITH0zUuIt+2IsflpYV1dO+oRI/Wodi3CDQa2Syyqq6upt7eXJk6cGPY4vgdFaiDg/2lrawu7mRllug0S9Bc7Qu9qAetVu0Jflc63YSAJFOucXuZFBNd2Ajj0XKGF9sSOwH6YnqxoCew8VRdC9lLdnAK7BtWsLwDsZK96pqB68TjZsWAtlsTpsF1i0dXVJb5mZoZnm1lZWdq/9YeHHnqIsrOztVtZWRmZGR9aUCramZ9bNcl2VoqMz6yYKFwefnbzfLIzEExeMXu0qE5+YF4J2REXzxwluPQ3LCoVYkU744EPzBQ2s/ddNZPsCOyHV88fIxIMnu1hV9z/gZlCb/Sli6bY9py4bdkEkWA+9bFFZGd84cLJYq7NtQtKbSfiZ6DocvW8ErpoepE2A0ridCSFYExsI1RWVtL48eOFvgKCbcanP/1p2rx5M7333nsDdixwY6BjgeSitbVVJCUSEmaGPxAULjiwFZSQkJBg9PoDwjXNromFRB+aO72UnuKS54QN0dbWJorqg4l5bRdFQE+RkZFB+/fvD3sc38+YMWPA/y8lJUW8mfqbhIRVAIGqTCokJCQikeJyyqRCQiA3PVmeExJnhe0SCwi2r732Wnr66aepp0fx7d+5cyetW7eObrjhhkQ/PQkJCQkJCQkJCQlTwnZUKODEiRO0YsUKSk5Opvnz5wuXqCuuuIJ+97vfxaQtJCEhISEhISEhIWFGDCXmtWViAXR3dwudBSZwY1jesmXLhvT/y8RCQkJCQkJCQkLC6mgbQmJhW/uT1NRU+tCHPpTopyEhISEhISEhISFhCdg2sRgpuNFj9nkWEhISEhISEhISEgOBY93BkJxkYjFMtLe3i69mn2chISEhISEhISEhMZjYF5SoM8G2GouRIhgMUl1dnRi0F29/b56hUVNTI4XjNoT8/O0N+fnbF/Kztzfk529ftCU47kOqgKSipKREuKueCbJjMUzgjS0tLaVEQs7TsDfk529vyM/fvpCfvb0hP3/7IiuBc9TO1qmw7RwLCQkJCQkJCQkJCYnoQyYWEhISEhISEhISEhIjhkwsTIiUlBS67777xFcJ+0F+/vaG/PztC/nZ2xvy87cvUkwU90nxtoSEhISEhISEhITEiCE7FhISEhISEhISEhISI4ZMLCQkJCQkJCQkJCQkRgyZWEhISEhISEhISEhIjBgysZCQkJCQkJCQkJCQGDFkYiEhISEhISEhISEhMWLIxEJCQkJCQkJCQkJCYsSQiYWEhISEhISEhISExIghEwsJCQkJCQkJCQkJiRFDJhYSEhISEhISEhISEiOGTCwkJCQkJCQkJCQkJEYMmVhISEhISEhISEhISIwYMrGQkJCQkJCQkJCQkBgxXCP/FfZEMBikuro6yszMpKSkpEQ/HQkJCQkJCQkJCYmoIxQKUXt7O5WUlJDDceaehEwshgkkFWVlZcP93yUkJCQkJCQkJCRMg5qaGiotLT3jz8jEYphAp4Lf5KysrOH+GgkJCQkJCQkJCQnDoq2tTRTTOfY9E2RiMUww/QlJhUwsJCQkJCQkJCQkrIzBUP+leFtCQkJCQkJCQkJCYsSQiYWEhISEhISEhISExIghEwsJCQkJCQkJCQkJiRFDaixiiEAgQD6fL5Z/wnZwu93kdDoT/TQkJCQkDI3Klhq69aUv0IqSK+iB992W6KcjkWDUddTRS0deohun3UhZydJwRiJ2kIlFjNDR0UG1tbXC+1ciusIhWJ1lZGTIt1VCQgdvwEtfXftVyk7Jpm8t/RY5kmRD2s64f+0vqClwiP5R8zh9O/RJOW/J5vjMK1+lo53b6XhHPd133v8l+ulIWBgysYhRpwJJRVpaGhUWFsoNPUpAknbq1Cnx3k6ePFl2LiQkdNhyYgu9Xv26uH/dlOtoVsEs+f7YGMc6jmn3j7bU0oRcOXfJzgN9kVQAzx/8q0wsJGIKmVjEAKA/IQhGUpGamhqLP2Fb4D2trKwU77GkRBG9ePhF2npyK9296G7Z3rY5DrYc1O7/a/8GmrVMJhZ2hjfYpd0/1X1SJhY2Rktvq3bfQe6EPhcJ60P2yhPs9ysh39Phwh/0033r7qO/H/w7PbXzKbmUbI6jrUe1+69W7Enoc5FIPLoDfcFkY099Qp+LRGLR3Nuk3Q9QL3X7uxP6fCSsDZlYSEiYFFVtVeQP+cX9jSc2JvrpSCQYLb0t2v2g61RCn4tE4uENtWn3j3ceT+hzkUgsGrobwr6v75KJpkTsIBMLibihuLiY3n77bfmORwmHWw5r9w80HaAub498b22MVh3doSvYmNDnIpFY+II+CiT1UaGqWmQgaWfsq687Y6IhIRFNyMTChOj191JTT5Pp2pknT56k3t7eRD8NS1aoA6EAbT7Wx7GXsDeP2kvNCX0uEsZJMoGjzScT9lwkEo+DDXVnXB8SEtGETCxMiPquU3S84zg1dvUFlnbGxuMbaXfDbrIb2rx9VAfgQNOhhD0XicSjuVtHhUrqpB6/7GDZFSg86dHmlYmmnaHXWAAysZCIJWRiYUKEginia4e3r9UdDdxwww309a9/nb74xS/SlClT6NprrxWPd3V1icdnzZolHr/xxhvp8OE+Gg4wZ84cQXUqKSmhJUuW0MMPP0x+v8L/jyX+W/lfuu3V2+gjL3+E9jbuJTuh3dse9v3R1iMJey4SiUe7LzzRlDxq+6K5JzyR6PDLIpSd0eqNTDTD9woJiWhC2s3GEV3egQNtR1ISedzOQf0sBZM1dwfY2nb7Av3+WFry0D7epqYm+v73v0/33Xcfvfzyy5SXlyd+/wc/+EFKTk6m3/72t5STk0NPPfUULVu2jPbt2ye+B9544w0xvwO3PXv20Gc/+1lhCfuNb3yDYonnDjynUYFeOPQCzcifQXYBHw6hYDIlObxU21GV6KckkSCgO+ENKjTDoC+THO52Otl1ksZmjZWfiY07Frw3dPol9cXOaPMpiaaDUihIvbJjIRFTyMQijpjxrf8O+G+rphbSbz9+jvb9wgdfHzBhWFieSw9cn41jQ1iOLvvBGmrq9J72c5Xfv2LIz3H58uUisWC89tprtGHDBqqvr9dmcvzgBz+gl156iZ577jm6/fbbtfkSjDFjxtCDDz4ofk8sEwu89p31u7TvN5/YTHbsWAR6SsiVVkmneqTzy//b/v/o30f/TfctvY8WFy8mu4CpDaGQgzIcJdRFB+hE54lEPy2JBCcWwd5R5EytEdazKBJJC3R7osOvJBYZSSXUFjoqEwuJmEImFiYEpmOEQi5KSvJTbyC6Yuj58+eHfb9+/Xrq6ekRk65xMAH4iu7GoUN9nH50LB599FGqqKigtrY28nq91NHRQbF2ReoN9vHIK9sqKRAMkNPR1/mxMtp6lY5FsKeEKK2SWr32dn453FhHv9jxC3H/kc2P0F+u+gvZBa1eNbEIpFKqM59AkpRUKPuisZsTiyKRWATJTx2+DspMzkz0U5NIALpUKlxjcy65c46GGT3YBbXttdTp66SpeVMT/VQsD5lYxBF7H7j0jFQoPbZ+86IBf7bHG6C6rlqiJD95A15656urovYcPR5P2PdwcSovL6d33nnntJ9NT08XX3fv3k1XXnml6FJAWwF61Jtvvkkf/ehHKZY42qYMBAt0l5HDUyc6GAimRmeMJjt1LII9yuvtCDSTL+Ajt9Oek1X/uvd17f6+pn3CUrEgtYBs1bEIpFGqOw/NTEGFkrAnGrrUxMKXQ6FAMiU5vaKLIRML+yEYClJ3UNkfgt6ifjU4VgfOguv+dT11+Trp/iUP04emXZbop2RpSPF2HAHNw0A3vb7ibD+bluIiCrk0v/KBfi4agGC7srJSaCcgztbfMjOV6tfatWtpwoQJdM8999CMGTOEgLu6uppijWPtx8TXoLeAQt5ccb+2o5bsprEQrz+Izztka/rLkbZwu91dp/pocnbpXlEglQ7VKdd+XYd91wLQ4e2gr6z9Cn1/0/dFcGUnNHQrc0xCgQzKT82zZTAp0Vd0CJFCqw72KpRlu3Us1tSsoU5fB4UoRE/vejbRT8fykImFCYHmRijk1BKLWOJDH/oQTZw4kT7ykY9QTU2NeAx6i+9+97tCewGUlZWJ5GPXLiWQe/fdd+lHP/oRxRqcRAS9eRT0K0lOo3qg2qljgSp1gadY3K/rDPcrtxOOdYa7Yh1uDXcuswMValQGroUscb++097UuD/t/xP95+h/6Jl9z4jAwk5oUpOIZMqk0iylSt3YY5+9UaIPfCZmp2STM5QdXoiwkSU9o6Z7t2B6SMQOMrEwIVwOB+WlpcYlsUhJSRG0ptzcXJo0aRJlZWXR3LlzBUVq9uzZ4mdAg7r11ltp4cKFootx00030S233ELx4EwCQV+eqMz1599uVUDn0ucK5aHsZIXyY2defX1vpfjqa5spvh5qsc9cD6ZCLR1XRq5Qlq2uhYHwdu3bffeP9d23A1p6lcTCSZmU58mz5XpAx/KuNXfZztQjEpxQ5nvyyU0KfbnNZ6+Oxf6m/dp9f8hLexr3JPT5WB1SY2FCOB1JlJPqoRZvdBOLv/71r+R2n87Ph8vT3//+d2Efi5kW2dlK1YMBp5Ff/OIX9Pjjj1NnZ6fQWEC8jdkXehw/flxY2EYLNWpiEfIisUi31eGJqeuw2AW+sHIOHQpupSMd9urYRHJoe4JtFAolkb99Frmz9lB1W+zpeEZLLFCVTKYsbSiWXZ2ATnW00I5TO7Xv7Tbjps2riHU7ulLEzY5UqG+9+y1RXFhft57euP4NSnOnkV33RsDnTaeOHvSwcH50idjB7bC+Hg+vs7a9RtNjwsxg64mtNL8o3KhGInqQHQuTgjcECJbZrWmkQFciIyNj4L/pdp+WVET+O8+1wNwL6DD0wPd4PBrA6z7ReVzrWJCaWNjl8ORuhcvhIo/LQ2/u6Qk7ROyGg82KviLkzReaE7t1b5gKlerMIKeaWGCuBVxQ7Ih/VbxNIerTVRxtPWobnQX2xg51WOJ9l59D6yp6bVV0AY51HNM6lnDDeq3qNXqj+g362H8+RqurV5OdwMWmIyccQoOF4oudpm8fazlK/lCAUoLoZs8Rj71RqdC4JWID2bEwIZBI9Hj77qNy7Uqy10eJABqv20FuCvkzaVZxCVX4UaW1SWLRo1Qks/w+SvO1kN+XIS7mU92nyI6oaK4QXwO9oyikagzEGrGJ/TAHCT99/Rj5OsdRRiCFkpy94j3ISB64WGBVrK1VXOy8zUsoOWer6PAd7zxOYzLGkNXR0tsiRKpJlETZKTl93VzVgtYOiOxQfX/9LyjoaKEuf5ewKV8zZo1t3POYCqXQhR1EQQ+Rs1vsGXZwzatUuxXjfV463FVI4Hgcat1tm7MhEZAdCxMC1Iaqxm4xDCseOgsjgt2PxmaNocrvX0W3njtNfG+XCm1bwwHxNcvvJ2f12yK5AuxKheLEItg7mkL+DBFUIfG0S5WWxZgcRLLmyG6CXXCn1x1bR3ta1ovv/R3TyOFXgqeqNntMpueuLWhxHhcKL/bSnwGVrYreak7+QlGh7wjWiaSCu717m+xDjeMuNtbBYx+eR+Nyi7QE1A441qXECmV+P+X0pgv75Z5gJx1sCXcRlIgeZGJhUgjaNFvOBuybWJRllomvGe4MzWLSDmhvUQ7OrGCQTh7ZrSUWdqVCcWJxyaQFQrKakpRjKzpUq/q5uwJKFTaoBpN2SjQ3Hd9EN750I33m9c9QT6iZQoEUCnROoqBPoW+e7Dxpq8SipyeVHvrPvr6ORa99EoujKjVyZcE0yk9aJO4jwchwKfvCTp3+xurg4gKcE11OdLGU66FF7XpbHae6lC5+kT9AudRFge5y8f3Wk1sT/MysC5lYmBQOkVjEx3LWiDjepegr0h2jqLa5i1IcijCv3adYsFodbVmKH3lmMEh5Se1aYmFHKhSsA0FvAEanThBfU5KybVWxb21WrHY/Qu/Qw9fNoUunTbLV6weeO/Bc2PfexhVEITf5vMpaABXKDmhSk+mcnnaqbuzQOhZ2SjIrVSpU1bubqNj7MUpuuZq6q28jV+e5YR0NO6CpRenUefxu4SiZm5Jrq45FQ8274mtBIEC3LcqhQNc48f0rR1+x9dynWEImFiaFcHqxcWLB1ccXNvfQsh+spo/+aqe9OhaqEBUdi9ykdm2OB9r8dvPofq/+PXEN5HsK6PLpM+j+q2ZQSVa+rQSKreoArFWh/ZSW7NS403YKJnc2KHvAvYu+Q11VnyJv4yrxfVBNLOwSRDSpOrNZwXrKoQ6NFodAErxyO6BW/ayLOjrJnZRK//zYvRTomkgnmxT9VVW7PWhxQIOaRF0R2kWPvV5Bu2uUeMEuesQGtWOBxGJMOuiRM4hCSbT91Ha6/O+X045TOxL9FC0HmViYFCKvIPsmFlx9DPrytVkO7ABiJ1codCxyqYMomKolmnYKJoHVNYrLy4kTZfThJzfQR84tp7Ls/LD3ycrA9d/lULby7kAepbicwrPeTh0L0H84ccgJzaGknkk0p1ShvQT9ObbqWDSraz4vEKDspG4K+RUqFFyx7FClRmGlOag4YZUEfJSe4qQxOankcTvI36tcF3axosZn3uRUzoUPhbbT/hPtdLzJaSsqVEOgS0ss8lKCQofnavwojU4fLfbO3+35XaKfouUgEwuTwkH27lhwEAF7UQE1sYD7ix3ej3ZVvP22bzF93vc5mj82l1IdObajQ22v365RYHxt8yjF7SCX06HxiO0wYVb/GkeHOuhXbx+hV3Z22CrJPFS7TnwtCznp8lnjacd9lwiharLTQSGfvToWzceUgXC5gSDNyAvRI9fNpzSnfYYmsq4qORiiCaEWSk92iQ5/SXaqmHnEawG2vFZHa3czBdQ5NtPTXTSnNFvT3NghyQQagkoHvzAQoNW7q2liYTotLFhFDy9/RDy+4fgG23Ty4gWZWJhavK0kFv6A9TdIPbAJdPu6yUFOZYaFcMFREgug02t9Z6i2U8rk0JJgJ7VRBj3/mfNoUn6JrRILJJD3vn2vCBAWFa6gQOcUCgZDtPFII/m8nrD5DlYGv8bMQJCKk3uppqmL9tQEbdWxqFMFy6U9HUS+HkpPcdGEwgy6c9Uk+uji2baifjS1KjSf3GCASlO9dP2iMirOKLDNejil0mSLAn4qSmql1GTlnLzrkin0/Q8uJWeSU9jx2sHookG1Ws0OBCgrJYVGZXkoFEizTWKBWKGZlPjogHca/bpuLL30+eX01K2LaFbhTEpxplC7t53qOuoS/VQtBZlYmBRFmSlUnJWuBVjRGJL3k5/8hP74xz+S0cEdiVx3meaMBSegZEeKbQTcbX5lIF4wmEbJLgc5HElUmFoY5oJhdcDVo7ajlnJScujasruQblOnN0Af/uUG2nykxzYai7YmRbieHQxQvquXpo/O0jQ3dulYHA8oxYTR/gBRR19n4n8vmkyfXzlX6+zYoUrdHFBoQHmBIGWQQgPJT823zSyLkx214mtRIEAuCogkE7hyTgl9+JxyKkwrtI1jXGP7MY0GBOCssFNigaSBx2K+5F1FlaHR5HYmacNly7MUh6ijbUcT+CytB5lYmBTZaclUkJ4m/PqBaByYb775Jm3YYPyJlF61tZnjUtwdGB5num1mWbSpHOLrXdvpj+NeEfeL0opsc2ACaytfF19Xla2i7t6IYVfQnNhEY9HapgRS2cEg0TmfJpcjKWx2QTSKDkYH6yeK/X766tOv0tPr+gIFpsWhSm2H9dCk7o+5CKyDvbR6fz15e9PsQ4Vqr9PsRQGYGehhp32yUU2y8wNB6ujqoq5eP4X89kosgLRgkHopVTA9nI4k0dnu6PXT+Ozx4t+PtsrEIpqw17hmiwG8UWTdqODjNtJJol/4whcoPV0Jzo2MXr9akXNMPy2xaPM1aZuJldEe8qNATwXeNlp46h8099tXUEpBB1EG0ckue/j1VxxWEqr53d1U71eCqVS3k7p9ASJU5Vz26Fi0qgFCtiOFgiu/Qa5nt2mJBTRHGAyW7jb+dT0SHG/YJ76W+AO0sekU5bYpewRoYQggspKzRFIBwWqeR6FPWhXNYraworG4eUERzXt6M6UUeyk51yZUKHX/Q8ei2ZFPuWnJ4vvqxi460tBBaQ7l87fDPtmgDofLDwSos8tLTV0+W2ks2nx9JifnO3ZTcyiP/rSpmr7773101ZwSKp9YbqvhmfGCTCxMih5fgHyBIDl1icVIsXv3bsrLy6MlS5aI7x955BEaN24ceTweeuedd8jr9dJHP/pRWrBgAb3wwgv0+uuvU3Z2Nt122200fryS+QO/+93vaPVqxaknPz+fzj33XLr++utP+3tr1qyh559/nrKysuiyyy6jffv2kdvtpo9//OMDPkev3yteK3iy10y9hCan+0RFblx+Op10Z1B9jz0sZ9vUBm9WMERJ/m5q7fZRdk+GSCzsUIkDDpISPE6u2kL7RiuJxehsDx1p6KSgqrmxw1rgxMLRG6IJX39ZCDQplELuJA/5Qj2CS275xELVFYz2+ymdesQ6AD7x9GY6WN9BE+dnURu1WV5nAU55C6yok4jy532MaPKlMOKlkM8+07e1gWhJyTT9vm3E5adnN1fT/1tzmObPS7UNZbQxKaQlFinkozS3U6NCgRqI9eJ0hHd0rAQuMqan5NGnXf+m1FCQctM+SF3eAO070UaL54y2TZIZT1iKCuXzDS647u3tpY6OjrBbd3c3mQn1bb10tKGTkkJKl6JX5dVGkwr13//+l+644w766U9/SmVlZXT8+HFaunSpSBJ++ctf0rRp00QygMShvb2vSzBlyhRauXKluBUVFdFXv/pV+tSnPhX2t5577jm6+OKLyeFwiGTm9ttvp29+85u0bp3i7jIQ2E52TtEcumr2JLr3/dPp1S+toF9+bBGNysixjeUsJxbg1TuCXnJSgAK+LNscmKg8NwUUHcWEINHkogy6ZMYomjdWWQOBgBI82KF71aq6QuUEAlSedIKyXCoFxKkMwrK6SBVUr+PBHk1jkZbUQwUZKRqnHEhzZdnCYhNC/pDCjqXsKZeTM7tY3OdZFnbQ3HAlPjspvIOfoWotHEFlLdihANMYUOKaDf7z6Iu+O+k718yi/d/+kG2ogVxYSktSulaeJL/QoAEHTrRTgacobC6WRHRgiY7Fgw8+SI899hi1tLSIoBaB8EUXXTTgz//v//4vPfXUU6ISz5gxYwZt2rQptk/0TG5FSU4it2eQP+tQXKEgWU5KpiRfN3nhiuKKqEomj7xKWVpaKhIM0K4++9nPiu9ramq0BOTTn/40jRo1iv7zn//QDTfcIB5D8oEbA4nIpEmT6L777hP/fzAYpK997Wv0jW98g+6//37xMzfffHNY12MgdKiB4vnp4xBRqPZYCjKSM2wRTCKJ7ObgIaAkGKnUS77eTEq2yYHJnPp8BJIttcL5Brf1hxvp79uOUdBvHyF/q7re4RD2VspddD/9jN6hPEp15lCr/7jlg0lQvXrVRLtArcwWZCiBRAonFqrdqtU7FizOhgvQ428dp/zpiv5Gr7mxOnj/z3Ioa4CR5VHCnZBf0dzUd1t/n+Rrf59/OvUE59F33U5KcSVTpjtT7I24HnI9SgHC0h0L1dglNclH5XlpQneDrgUX42THIrowfWLx85//XFB2XnzxRUHh+eEPf0hXXXWVoPVMnDhxwP/v6quvpr/97W9xfa70PcUOtF9MvoTolr/2ff/IJCKf4uhxGsqXUdLVys86yE1TfnctufqrxN0/cn45ug5iyjf+lsMhqFEXXHCB9u/Jycmim3HsmOI+ASBxAFUKyUdDQ4P4Hv/vgQMHtMSksrKSrr32Wu3/GT16NJ1//vlnfC5+fw/1qsLExe/8P+re8x9quPJ3VJibRR63kzKTM23RsWDdAGaZZKjC3FTyUqdXSSxwYHT5uijNrbS8rYiTTQfF11GwWu6sFxajSMyTXaqZgZpY8FwTt2Nk+iMjo1Vd75jCDty5bAx99RMr6Ovr3qAT1fss37HAcDwgJRikh4Ofoj8GVtLHM8M7Fh5OLNSftSo4cUp25VPPgfXUK2LrPAraqGPRptqLZrXV0eHvLKTWD/+DFkweK84IQFCBHPbQXzWqNqoFPi8hxXQ7lP0xx5MjzgnRwVPyLEuCOzIFTRXi68VTsoWD4rTiTNpW3UINLX1CdpwVqS6l0y1hcyoUOhWf/OQnRQCcmpoq6DSg3zzxxBNn/X/9fvNaDzrUYB8di1hC39URf9fh6PexgGpnB9x00030la98RQjB0bnAZ4OfYboUkg0AFCg9Ir+PRKeaPLlDIcoNBWnDSSct//G7NO+BV2nS11+mmoagLXj1fCCmOrOoO6QEUClJXgoFUrSN0epdixOqWHeU6vzSfPyIoMSU5qbRly+dSrcvm6n9rNXXQ7PalclThzylJXmFd3+BajFq9cSCr4ecYJBafErwmOVREklMIRdfk5TA2urUDxZn5wRC9H/uZ2hu+1uEWNJOLmFtqitgZiBEE/2HqKdTuT5SOLFQJ5FbPckEGtWhkI/Tb+hDjrX01t5auvOZbeT3pdpCwN2ufsYQbwPoZgLTVDpU1amAdmZKOlT0YOqORWNjIx06dCisgg6sWLHirLapL730kkhEcFu2bBn9+Mc/FpqBmOLrdWemQunx5UNn+FkHJXEzI+Skox9/UVRlx2aOpYwo0J9GgubmZvrLX/5C27Zto/nz52uJhF7/gg4HUF1dTWPGjNEex/ezZyvDrPpDrzq7QYQMS+6gRzdPpnRqI48rnRp9IXIlpdkieODDwOPMJB85dRsmZlkUUXV7lUgsxmWH2/FaCSdVGkOxmlh8/okXaZurmtbfe6EYigb87Ei6sB5GO9zK7f5mt5Jc9ooJ013kUvUGBan2GIrGVfqcQJA8aWmU6XNReoozrGPhTkq3xd7AwXI6KcWf5JBXTKL3qolFT6BHVGat2s1E0sST6D1BR1gw6VHXQsCfSmjtYh/Fz3NH3moIhoKaDq002EM/Tn6Cft5wDf17VyONn2mPxKJDLUZyYkGqo2RprvL6T7T1CvthuEKhAGPlMzOeMHXH4uRJRXBTWKgMvGHg+/r6gSu2M2fOFJqArq4u2rNnj6DzrFq1ipqams4o+G5rawu7DRkI+ge66fUVZ/3ZVG1+BWpPqWn5FHKnUqcjFP5zCQBv0kgwGN/97nfDfgYdpfPOO09oYbh6tn79etq8efMZfzfToFzOZKLFn6Q/tH2c9ng+SdNSlc3DRam2oELxwZkV8NON3m/S10t/R7ljptA54/KoKG2U+Le6TmtPEj2pcsVBheosW0G9ITc5k5I0HjWQ4baH5qZZrdj3BhTh+u6qk3TXc9up+pTTFh0LDo7QsXgo+BPaddEeSkt2hSUWLk4s1GvHqmhSjRsmdxzWEov7rppB3/3gQkpxeixPh4Lexg8rbpwz6qyfFPKGdSz8vrQ+rZrfXKYtQ70uAiJCwLBEpQCTk6x8dcI+0AaJRXtveGJR26jslTNGZ9FlM4tpXlkO5XvybVGAMW3HAnak7733nqg6p6XFryICDn/k92eqQnz+858Pq57/4Q9/EAJkOBXBBak/PPTQQ/Ttb3+bjAKVKkmhYIjSPemCDgBefaKRk5NDn/vc5+iaa66hSy65hI4cUSgqKSlKVZXBAvuFCxcK3cWuXbuEgN7pHNj6riekbIruJGXZdpGHsqmDSpJxOGSRk9JsQX1pVauSY9uP0rpQLrWljaW/3bZAPPbg+tdpy8lNVN1WTbZILLLH04alv6LNB7fQjLw08gVCVHESE5ZDQnMDUZ6Vq9S4tpp61ffCk0HUQdTY3EJ/33OMLl6UbPlAUu/0lIMOTbCeqLavQHHx9FGiOpmR30lvnlJck6yMJtXdBvaiQHKol25Zonj1/+FYPh3rOCYCqLIspWtsNXDiCLqsRy1a4T0AJhVl0LeunEGFmcl0/85kMWgVgbVVuzd83cMtjhVmaQ4l6XKFMmwxiZ33fiQWX/d9kpIDpQS7mJVTi8QNeG91nm2MDUyTWKBy//LLL9M///lP8RVBPfj2sBL94Ac/KITUkR2FaKGkRBFDR3Yn8D3EwINFZmamoOQgCB4I9957L911111hr5spPYlAhsdFo5NSKdXtILdaiUH1Be1PR5IjKgPyoJPAHAo94OQU+d4+8MADYUJ5JA233norHTx4UPzs8uXL6c9//rOYf8HAfdDYMO8C7//ixYtFMlJQoNA3+gugfGr1xZWiWkeGMmh0UgONcitVJ0co1RZOQC1qZQXOL72UTMnOvs+7PEsJIirbKsnKOOlVgslRTg/tblIS6vL8NGrs7KUrf/oOuZ1JdN6yLMt3sPDa/EElWFjWu1urUgOuULa9OhYF04iO7iXq7bv+r54/hq6mMfTOsUaifdbvWDSrwRGmbgNudS0AGAzIiYXVA8msQFDt6fe9B2NyUukTyxTnwccO5AhXKKydkowzmKqYGKe6T2lOaYxklRbmCGXaIpjmbnWKM5P+FLiQ5qcqXV098lUtmtULMKZILJBI/OIXvxBDzqZOnSqSiDfeeENUoDHbAP+OWQeYTwAB7//8z//QJz7xiahXx0Frwt+97rrrxGNIbDCPAUPb9DQmPA49xUBaDfD7z5QooOIeWXVPJNDq53Y/gm5M4EaAgeRiuMOw3ve+94V9j45DJN7//vef9tgHPvCB0x5btGiRuDFuueWWsH+vqKgQg/HYGQo0KAzhg/i+PwRCAY02hcQJ95tDacr0aZeaWKi8Yut3LJo0F6DHp+yicv+7RI2ZRPkTNY6olSeJ4rM/qQYQxc50+ndjl6A7jM1LI5dDSbLQubCD/TAHBqnBIHngijbvFmrpVTQmzqASPCCQHEnBwSyJRVJQ2fdqTjZQ5E6OyduAlbtXQKO6HvLULr4r5KNt1c3UKaaP51o+mNQSCx2LgYNpPeCKJBILC8810QYFqjo0IDlJue/A3uCwPv2nQxXyp6smN271fACCwRB1eP0i4Qas/l6YIrHYv3+/CDLhvhQ5fwCUFtxQ5T9x4oSwgoXVaCyAeQhIIuA8hATm4YcfFsPu9JSmO++8U4i5YUGLJANdFPx/SEqQUNxzzz2iMv+Rj3yEzAjQvpBMgA4FsaoZpuziOeMzQ6cDHa633nqLvvjFL9KFF17Y789zVRYTt/H/dvsCmiNSrpurMKk2SSyYU050sfd1oupd9I3jZfTfnpn06C2lWmKB9wwJpxV51D0qjzq/qZLuOXIp3ZaSQm8XrA7r3qS7rJ9YsFg3D/NMzvkU0YqvUP1a8Ov3kzOkBNNYB/g5rsxZ9T3IaVbpf7rPu7XLJ6bSh9SBiVZPLJrVJIs59aVZTrrlz+9RTVM3XbEq0/L0F01/piYWTZQlupdAjy9Au461kj8QotyUXMvPNWFnwMKwjgUnFllKYmHxKn275hDmp/Mcu2l6AEnEUrEWpn/rFTEK64GP5Fj+uog3hh11YJrymQBhNHQWxcXFYoharIBkAH8L+geIuaHveP311zWaFAB7VNZ8oOsAOs8PfvADoQfJzc0VVJ1nn332rHanRoI/EKReP6qQRKnJLvK4PCKxiMYE7nhg8uTJtHXrViHa7uzsFN2vCRMmDPjzWmIRClJQHQpXUpiHk4NKM5No+eQCGpcbImqxPhWqVT0Ms3EyQMiOQ7Onmxo6vJSTXCwSSySYR1qP0JTcKWQ1cMXV43BT2sUPED13C3mok8blppBLDSKADHem5YNJfi8QSH7/taP0r/Vv0idVukcg6BCOJwgw6jrqLJtYsN3suJOKtiI1pDjhAD958yD9+p2jdOtyhWKJ68KqCTfQpL4XeXCLu/kv5EgrIPdzyn6Y4c6xfGU2rGOx/B7Ku7CvA97Q0UvXP7FeDE286uIcy4uXObHILF5K3lOviG6FS3QsHMokdpe1u1dAe1ApOh6a/hX608YvUn0zJtF/SqwBdC+8cJJzWP+6iDditruiA4BJ2EwfQscClKlYAInLmZKXn/3sZ6fZ0eJmZqC1XdXURenJLppYlEEe1fGjR7VkNQOg5zjThPT+EgtXMCg8PkADm142SiQWC0d76A/XLxGVy18eVbQmVg4eWtWqXGaSi3pDTsIVlupQKlHoes/In0GbT2ymPQ17LJlYcIU6F2LdqZdTIMlFLvLT5LR2cjn7NDqpNupY5ELbFkJlrpnSA0oCgcpsaW6pCDDArZ9dOLCVsyXsZtUqdWqoz+mHE01HsI8Ga1X7Yex5rX6lQpuXWUo05VJx3+1YK76mO9XKrIWDybDEwh1OfeaZJijIZSdnW36WBWssUssvoc9um0aFKQH69sJzaPf5+dTUW09X/OO7Yi1YlSaJ18X6Opc6x8aldrrBesj0uKix00spSdmWvy7ijaivJnQDnnrqKUFvaW3tc+CYM2eOoCFJRAfsehVSBc0pTiWB8wa84oKyGjCnA3Dh9bLj15gFRNOvIspTKrTMqefKpFXRpFbZUn1Em2uU1+lRubPQFszMV4bD7W5QxLxWAx8AIjh0OMiZo9C/CrzHwzi0aWpiYWVqHAfVEOve4nyDXvF9ghYf/LF4zB8M0pgMZU5MbQfm7lrcFUqlfKTABUjVY/F6CAYdlOay9pwbTWsSCpG3x0n3/HUHbTzSSG51Gn2aS63MWpj+wt0riLcjEwuPu29vyHBbX3PDGotMVz69HlxIb7iWU3L2KMpIcdHo9EJNu2jVCeSIATg+cqp20251KjuQlap4ZTlVIbuVrwvTJxbQVlRWVgqxNDj0S5YsoY9//OOig2Ek8bPZwbF1UB2iiuo8Vx04CLcS+qhQ+K+Dur1+qpl0C7V+4LdEMz4o/s3tcGudGytXqRvVKszOvFvIpzYduWPhCwRpZoGaWDTutrauwNtDdHwH0ei5yj8cfoMcjiRyql7Mqc50y6+FPipUkFpIeb1jsxy09f8uosdvnE+lqFwjsWivtayQXz/HYk7PL+nzE/+rbZDcsYD9cJbqJmdVZyjNXjQlm36Z/lmi7c9QcOffNEODNBt1LNKnXU2r166hvd9bTr5dfw/rWABpLmUtWDWoBmC1DRR1NpKTAuTW6c/cTrdmaGDVgJr3/WRKoqt6/ivup7v6iq7oWACOYIam3bPyXJN4IupcEXb/GTt2LH3yk58UuoeNGzeKToZE9ODgjkWor4OBwBoaC1/Ap3UwrAK/miw58YKTiLZWNdNtz+ykuWU5dMs5Y+nBf++l900rEl2Lnu4ey1qMIsFqUb34j2RcSDNIoTmkqIkFOKOzixXKS0VzhVgPVlsLWjBdt5O8u/5B3olXUMbefxLteYHowvvo8++bJAZI5qUdtHxVso8KFaBW1ZveFeil/AzlM+eOBahQVgQCAcwjAHICIWqjdHLrAkgOpkALQyB1ovOEZdcDU18K04vJ15JEP3Q/SV37i8md81vxuMeRZXkuuTZ1u2geNXccpFXOnRRsU5JqFnED6S6lSm3VuSY4J9hmetHqu2ip4ys0PhSgqqOl9NMt3ZSfniw0V7gWsB4mkeIkZ8XEItPvJ3fTIXHfEegruqaqNv3BgIeSHcpcE5wtvGdKJKhjgTkEl112mbBpXbZsmZhmzYDmAcPOIKLGfIJJk6y3cI3QsWALVq5CAHzQWgmaxkL8V3GFAjKSIUTzUXuPnzp7A5aftsyBpOhOBdLIq44+SlGpUF5/kErSS4SFHt6zA02xcWMziq5gT30vnfNXF3lhJ9h8lKihgr540RT634smU1G6UqG1spif34uW2ffQa8GFyoO6qltZZpml55pwtwID0dxJyUJzxgED4FK7V75g0PKWsyzWhWC/N6jslM6gV0uumEuOKr0Vu9r6zzbNmUG9IWVvdKiGJii+8XpIUxMLq3avjnceFzSn5GCI8oNJ9DnXC/Rg78Pkr9xAf9taS6/sOaFNnLZqB0tLLKC38Shrn3TmNqnJyj7R4w9qmisr2w+bJrFARwLJBexbQXO68sorxTwCidgDFVk9FQpA1g2gY2FpKlRSEnV5A/QR52v0h2OX03k7v65V6zl4sGpiwdXGXGcalXXuoYf9H6Z/LX2OasZcTjNLskRghQN0VsEs8XO7GnaRlXUF7T6XmMC+seBDRMvuCuNV81qwssaCgwJXxgRqVrnCnV1d9I1/7KJfrDlEk3Mni8dQqbci7YMTC6yF5JRU2nPeW/SDwCNETcqwU1dEx8LKweRJder2qOZamtu9Udx3hHx085Kx9H9XTKfFY8tEV1ufhFg1scg+vp0yk5TBmeTvCyY5yUp1Zlg6yaxprxFfS/1+cqRk0YRRSuAMkwu+HrT5DRanQiGxON6rxEYE/WlQKcItHpdHl88uptHZHu29sGqSZRoqFDQUsAo9evSomFoNfOc736GHHnqI/v53hdMoETuohRdNnKTvWFitGoWujF91c3CpOpJub0DoCxwUJHdQccLyofKQkm1pG0E+BPI7m+jKpt/Qz0Nfps7cGfTApWPDfm5W/ixaW7uW9jbuJSvrClp9ynrYPOVuWn6R4oBV1dhJPb4gud1plk4y9QHimIxi8o/OJWok8nl76ZmN1TSnNJs+u3KSaO2DCgVq3OLixWQlcIUxO7OEaMmdRG8+qCQV536WKG8CzRidRR89t1y8Fzt7rd2xYE79qGPbaba6/zmCXrpyTp/1OtYCulfQ3FiR8sGf7ZitvyRnkvr6fH0dvLsuniLOzOIM5Yy0YrKt11SVIbFIzaainAyiU32uSCjCaROnLUqNYzo0Eovq3jR6yncLLZwwii5XWR53rupj0fzuSI7l55qYomOB2RHJyclaUgF87GMfo507d0bruUmcARCojsryUFGmIlYGuBpltcQCLldBdTNw5k8UX9Gx6FFb3a5gryZc5pamVSsPfAjkBwPUq9Kg9KI8xqRcZdM82nqULEuF0iUW4Awzbv7VRrr0sbV0siVJO2ACapXKSsB1zut8xbG/05eWFWn0F/Hv8J8loqm5is33/qb9ZNmOBSbOz/oQETvDqV2qpRPz6cGrZ9H1i8rsQ4XyB6hDdcFxBLx9QjxUsC0u5tcPyGPNkb5j8akLJtCnL5hIpdn52lqwoosidyzKfD4iD4bhqWelOiAPc7CYCmXVjgVf50gsuh0Z9OvAFbRj9A1EztPr6Rw3WNl+2LSuUBgwB7G2ROyBFj8Si8LMPmEuz22wWmLBNCjoCpwOhReJabrsiORUqzBILKzOG+XpoKjW52Zl0H0zT9LSY78lOvJW2M+Nyxonvla2VobpcKwmWG73K2sgG5dBay1Rw0HNCSjZ0UeLsqKYHwEBqq+uUIhy1/8/JaieezM1l12kBQ/AtLxplk0suMKYnZJNf9xQRfub1bXeD/3N6omF1rEARVB1CEuiEFWdaqWtVU10orWHSjNKwwJPKwH7nH6ORQtxYnH6bCd2CNPPOrASDrYoxhXjfH7qdWXSiU4loXDqqFDQ4liZFsed6oxgiHpJKTzpB6hqbIhAUFKhjOQKhYnJsJGdO3euuE2ZMkV8ULjxnAWJ+IE7FgjEh/MZrFmzRiSH5eXlYio5ZpGce+65YpCdHl6vV9DgmpqaxKTzSGE+/57S0lLasGEDpaam0qpVq+gvf/kLXXDBBeT3+0VnC1PP8fvxPKHV2bNnD40fP17MPNFDo0HpBt619egTCyWR8gZClq88aB2LQIDKS/Lo4xmHiDb8nNbVnaR724L0uVWT6IbFZTQ2a6xIxCBcxv9TgGFyFgsmkVy1B5Q1UNa8kejRTxMVzyaX4zvKD4bcwhELzlgIHhB8WtGnviAQVCpEJfOJZl5NJ442EW1aLyxWgen508VXK9LimMqS29VCPcfWUV2Xk6ah9tCrBIu9/gC1dftFh9fqdrP6jkX53ElEW14X3/+/N/bRn3c00dcvn0al+aWWnWuCuQUQLHNi0eHIpB5KJo9u+FvFyXYxXHbyqExKdaUKVzGsIU46rYL9jUoRYZrXS41+D22qbaOrnX1FOFChitMxhZqorrOOrAjW1mEtYB3MSzpE4zraiHzjiNwe+vFrFfSTNw7S/5w3jkrG5VqaQm2axALB5urVq2nr1q20bds24Qj1+OOPi4A2OzubFixYQAsXLqRzzjmHPvzhD0f3WUuI9xk8clQs4YKiOF64tH/DButKGtrHC41MT08PnThxQkxJR7Dv8/lEEjFq1CjxMwcPHhROYA6HgyZMmEDr1q0Tc0p++tOfhv2e7u5uqquro5kzZ4o1gMTi5ptvpvPOO4+OHz8ufv/atWvF5G3chy5n8uTJIim555576P777z/dEQqi9Pbj4v6i8lxq6xxNVKkI0haMzaFxBenWTyxYY4FhYC6P1tYFr766qYtauhUaDAJquEMhgAAdyiqJBQIB9hrPveqntPN1pWPnSlfEd9TTplHD0MHKTM6k3u5eS+os6rs5kFSuj5WPb6AF05vpI0vLtdcPYBI7cKT1iHjvEFBZBXydZx98nd7nPUx7SKWGepXBkf/dc5K+8Ox7tHRCPn30omzLdiywvjkoKvH7KSWzgOi63xA5k4l2s6lHiCaqVKjqtmqyGvhzTQmGKDUUolvu+QlRphI8Mz79+y1U2dhFf/3MUrE34HoQiabie2CZggOKSQ5KoinLvkbbW/PIX/v3cCpUMEQlGSWasYMVi8HsBpix8uu0vuIceib5Ukrf1Uu06lwxVNetClV7fAHLU6hNk1hgEWIAHm6M9vZ2UenWJxuYwm33xAIXbbQHr+B37jmubKTTijO1IUigQYFPjoMGwSWCiKFsGBUVFbRjxw4aPXq0SCrQifrFL35B3/72t8W/f/aznxWJwIsvvkgul0t81ug6vP/976fLL79c+z27d++mXbt2iXkmesA9bO/eveR2u+n111+niy++WLiJoVuB3/fCCy+I9YLkIiMjI4za5QZPXm1rXzGnhDwFU0RikeYI0t8/e754fG1tm6U3CO5YoFrfE3JRKJBECBPdScEwXj3zqZFY1HXUWS6QRHcufc5NNO9EBeU3d1Funvq6e9vJndbnBITgAX7uVkwsuGNRqE6cbuohCnk7KUU9UPH6AVAekFjifYD98LyieWS5jkUgSD5yU0dITZrUz5uDB0wh546FFQW7nCjkJ7kpA9TH5DSiWdeKx5z7d2nrYVLOJC3JRMFG3wU2O/hzzWY9FQovEWCXMCTd6GCiy2O19bCvaZ/4Oi57PKUuv5uqN1fTPwIN1FG0iD4641LadM5kMZE+zaPsD4hNkJRycG05V6iULPIGk1SGQy8RdEc6u1lY1+emWLsgGW9EdVfJzMwUVBfc9CJvuwMX7pI/LUnI395480ZKU91xBoOrr75aJBUAgv/zzz+fDhxQZiE0NjaKZODNN98USQCArhQ6GH/+85/DEosPfvCDpyUVwCc+8Qnxe4GlS5dqj/Hvw2OgWmF6+6xZs8I7FupwPA1pBUQT30eUo1RoAavbxvEQrIJAgP69r4lqu9rof11wy1ISi15/nxCRK1JWanVr+gpPrkiY77lUESZTqzoArredXKzfVTsWVq1SM/WFE4sxSY306OFPU6AWDie/EME0A10LdgmzUmLBtLgcmBkkJVM7qXtdrxJU8BR2MXnbwhqLqrYq8bVcNXR45UALra/fTXesnBTWwcNcE6YA4f+ZmKOYYVgBPOwO1BeBfs49nmOBJCs72ZodLJ5dNDVvqlZs2hCcQdk5o+h/Rs8mRVmhgAsOOCOsllhwBw+fsy8Y0qjTnFikqPNu9B0LmVgYULzdH9LSBh/USiQe0EZEdhhAjwKqqpTDCxQoPSZOnKj9G4OTk0hAV6H/3QM9xn8zfDgeKiwO0a2BpWh33nSij/6D6KrH+n6/boOwmmiZ29ZA8bKv0BuO88gXcoa1uJn+AoxOVz6D4x0KfcwK4IQxH4cEJm13q5zYFJXLEPRRmjqFXHQs3JmWnWWBIVjAKH+AQpREHSoNyBH00dtfWUUvf2G59rPT86yps+Bqc04gKASaP/FfQ3+6cD3RRd/ud/K2FQNJoKpd2X/Hlp1PdPvb9HDVFDq28e8U2vkXSg92akMCobuyqksYr4Ws/Kl0ZMXj9MBTz9KhRy8n+s9XtZ9JdoV3LPT/n9WE21OdmUR172lJNndr9ABd1mpnxGlFqI2/ovvPTaKczPTwxEJ9PzBUVosbpN1sVGCdPqiBgQoROgfRxv4T7aIqOakokzzqhonAExdUQVoBFaYWRpVPXVCg8PQh2obAm4Hv+d8Y0eRr9nUs8F8HBYJ++tTTmwX1Y+8Dl1JNUzdd/+S75HE76T9fXKJNH4eYL4PtJy2ALl+X1t4tXnw7bV+7kcppu/jerU7exiwPS3cseDhecw3RX2+l9o+/TZ7SLHLrPuerp2fQrPIiGl+QTlnNWZYV5Wle9T4f+R3J5FXtl5MCXirLCy/osM5ib5O1EgutYxEIUpszmToojZJSMsQQTb0LDAJJpkJhX7AaDehwy2HxdVzBTKLRc+hU8Dg95/4VFb7RRnmznxH+UEyNQyV7+6ntIrG4YsIVZDkqVM44OlBwKR157Tc0KXkdUXXH6ZPY0bHgxELtdFgFh1oOia+T9r9K9NoPadTsH1F5UhLN7qql4MlUun9DQLx+DE3ELJOdDTstaT+szTs68jbln9dNlKxS49QBwn1JZojyUpSCKs5XUK/ZCEdieLDOzmpgIMgeCh1psEh1+cWB6XF6KM2tfJQIpNHmxoUR7b9ZVlYmEgoIrefPn685g0FL8/WvK9OvY4FwKlQSBVS3m5Icj3hvEUOcbOsVIna85gx3hnABgrjVSokFdyvw+vC64ILlV5uOdulY9M2wUNbElU9spqpQDVV85/2UDNqTt52un51DpM47KThWYFmvdnb2Kb32aXp2V5B8G9QACZok0EFU3RXAE7irWquEBottm60yIA9UqIak5NPmurD2DFQopsVxAGEl6sfuht3i60wkFmp3wqcmTilJuFbcp4n59zUqXHzLTd1OUagvPOdHP8dCm8QeDGpUKCt1LBAU8+yiSZ3KtdHuyqMbnP+gz9S+SKFtn6Hfr79AGxY4IWdCWDJiFWCP42JSHjQ3bhidJId1LDixQMcCRQd082A/jD2lMK0wcU/eAohZYgHhL1yiLrnkktPsQyWiA4daldMzfrgKx8F4NIEg/rHHHqMbbrhBJBSwF/7Nb35DRUVFdMcdd1Cs0EeFEk9Cs9Gcl9lK9L1SKnGBPvUT7eAclTaKOlo7RCA+ITuctmUJGhQOxEOvU67/FP0rsJRuveEG2n/KSRO6g5STlnxaxwKUGWyY2DitIl7P9StVp96Qm5KdDuWQWPxJpRqlS6jRtdM7KFkFKB6AGw2Uli6lfx88Tl5SRLrAD17eJcT937pyhrhuQXnA3oBO3omuE5aYuoz3oCfQo3UsVs0cS0eXzCJa+32iOifRVY+TW+1YwKteFFtcadTl7xJBqFUSC1RmMVkdmHloHdGhdZQfGEXeJLfQpM0dnUZ3XTxeTB8XP5OvJB97GvdYZl8I61i0nqD8jrfF3hA5xwJ7RWQHy0qJRU1bjTgvsc5Hq7qb2VMn0+T2EqJDRElBv7gmUKVHcjU5Z7IlEwt0oXjwIfaGf+9vpcVdQUVf4lcSC8wBWzGlUJjf4BrISckR1xJuMrEYGWK2o0CA+7WvfU3Yzt55552x+jO2BrON9FqCkUzfhiUsXKD0gDh7+fLlYeLud955h4LBoLChhYMTvno8njP+HgA/q9dewLIWjyExYWCaOx5jrQc2B/YmF1QoXceiKCtVVKgdqrUkEo5gMKT5c5/sPGlJTn1xdxvRH6+lZcHNdILyKVi6hD500QX05j0r6UsXT9F+Hm5A2DCxFqxSseeORZ5qsYqqZFqKWn2/+NtEl32Pmp35VNPUJYYo8gHBDkpWAQ84g4YEFdrROak0s6yPjviHdyrot+sqtWsFHYqxmWPDhL5mBweEriQnZVz5ONHMaygp4KOk9/5AtFux18QA0WsXlNL7Zyv7jhVnWXC3Ynz2eMrc9BTRGw9QbqiZvGrdcHaxh75w4WRaOVXZZyHYhmMgurpWsp3VEosDr9DM3Y+I2QWRHYur54+hL140maaOytI0N1aiQrG+YmLWOHKoTpSTJ0yg2bw3BHx9DpL+EE3KnaRR6aw0gZzPiSwUFIjo33ub6UctK+jArLuI8pVi48LyXPrdJ86hey9X9GeaM5TUWRi3Y4E5FxiEdvToUXrjjTdi9Wdsjbz0ZBE4hLf+hz99+xvf+MZpj2FGRSQwlwK3ofwe4JlnwPWlsMQCblKRYn/9Y9ytQNXVOXou+Xt6KBCsEI8V5ajUhkDfwaEf/IPKrJXAr6dYFWx3BZXP2u3qX8+CJBPJBTod0FlYoQqjn7oNQLCbrbp7ML714h761446Ua2fNbEozE3LKtjTsEd8nZxZRvTmd+ijWWPoo3fcSvSA8u9unrAbDJFLfXvKs8qFzSgSi/NKziPLzLBIyaGkhbcqD3apbnBIHHzdVJ6fTj+6oa/IgWAS14OVBNycWMwumE20d5u430Gp5NWoQEqFVn9GYBr7jlM7aHfjbhqXPY4s5QIUDJLf4dFRofo6FtctVOZ4ADWV2ZZLMjV9Raoyd4o82UTJ6URO9b0I+ETHotun0OXGZZSKJBOdPxQrsEdYSl+hOuZ1hNz0cmAVXTRjEU3NU9+bCIgOZmsfvVLCgB2L5557TlS1MUn5tttui9WfsTUKMlJEO49t0/QdC3AMrVCB0GhQDpciCNdRoUblKRWnJLTziec4BGlU+ihLdiy4Sj0mpCQS88aNojtm+Ch351NEe1/s9/+xmutHn8ZCtdclN6WoXFnqbiZqraX0pB5tLVi1YwHxLTA/tZho7SNEW3+raCpmXkOBmddRQN3akWgzxmWNs1THQptCn5ovvt7/4h664/kjFHCruqqW06vxVnSG2tWgUOBmgeKkup91hNI0e82Ori7ad7yNqhv7rN81OpSaoFoBTA3E8FC/I0UUHQR8fYmFHizettJaYBH/JKdKB80dT4fqO+hwk1p8gzBZRwdDJ5NtaXee2kmWm/ekFqC6gkpcxNTI/iCH5Jkgsbj11lsFHYrxwx/+kAJq9igROziTlCncsdJZJDKxYDC9Y3RenxiTK7TgjhanWbNjUdlaKb6OVy+jm86bTF+d002eN/6PGt56ki57bC194x99PHu9zoI52JYJJgMBCiU5KUBOSuGS/J9vIXp0Js3q3CS+RQLKGgvQPuCqZRVsr1cSi3lpyudL7P52/dOUdO1T1EZKcM1OQABXIyvblHVkmSn00BIcfJ32VRyg/+w5Sd0Z6vycpqOCGtnZ66e2Hl9YMGkVlzDQYLWORTYMC5TP+5/3XEbTSxX6y3tHT9L7H3+bvvPvPkcwFnlbyX6Yu5KY6+Jzevo0FqDSqnTh+rYeOnCinRo6ei0p3j7YrFChJvnV6z5vAj2zsYp+t/FYHxVK0x0pPzO/UDFiea/+PbIKuKgIK26gM+Ci0qRTlNuyh6hDWSd769po+jdfoWU/eFN8L6lQBk4sINTGJGWIt0FpqaurE/fvvfdeS84VSCQgSMRwF70TEJKKWAq4442wqduNR4h62ig9xUnvnzWaygowCEzB7OJUTZxoxY4Frh0OCMfx543JsmqLOxjwC/vh6qbw4Fkv4LbUHIuLHqT9i78b5u7Bk3ZRqwRwXaS70zXLZavQoRAIgdIEzPUoSfSRFj8t+d7r9McNVeRwJPUNhtPtDWOzlIDbKrx6bS3AeviZa2mBd6v43qe+TmqupJrmLpp5339p6ffeCBfzq8MFreAMhiQJe/4UdK+AJCeNyc8lz6p7iK55klpzFfMU7vQCs/JnaVOarXBOYH/kjkWhP0BlRQW06Xs3UeD/Goi+eUoTJP7glQN06WNr6W9ba8PmWFghNukN9FJ1u3JtT5p8BdEl3yWafb0oxPmZ9S7E230dC2B+kfUSC83o5JzPEt1bS71BJ33T9Qea+5+rifa/JP4NeySmbnd7leRDDskzsMYCwt6Kigp69dVXaffu3fSLX/yCampqaOXKldp0ZYno4ERrDzV1eak4y0NFWZ4wOpQv4BuWzsKwHQvYZ/Z2YIIeZXrcdM+l48mjDtMD/vapRUTpSoWu2K92LDpPiAMjmjM1EgUcmvDfhxi7zKe8J51BJ7lDSaLhj9o9oE8yAXb/YWtSMwMdBzgBAfnzPkYtJ310ZcvhvpkNamLhSfJp7wU+e2huYMFY11FnCQ4xuPFMbcpVa0PQ28ByudcXUHjUjhBhKeipUPza8T5YwaudOxZ5akzImiMfawaaDodN3gZGZ4wOCzzMDraMnZI7hZJZpIxhkdjzJl8svvVuw7XfELY3YC1YaQI3kis+KwrAjHCnUZLDQU6d5TKgdwmDC5CVZh5hjwP9GXS/wvLlROMUW1nf3l20LTiZ3ppwN61YsISeu2ypeLwgQ6GKzS2aq9GoQAtjuqAlEgsU1lIyxT4YOXlbbzcLSCpU9BD1SD8rK4sWLVpE1dXVNGrUKHGwQ8Qtk4roA5VJIBBRbRmJM5TR4A/prGYBfZKA++XL1MeSwnQFSZhE7OsQDg95nvBp4mZERbMiWIezT3KLkiR87Hc7qMjRTv/PTeQI9VHB+kssEEyaHRxIIiDCvJLZpUQ/u3lB3w8I22GiZPKFtfrLMsvEoQuNylJSDlUr0KDmFs7VhKnMJ7/h3SuI3qijec7v0Qb/uDAqFA/MRDB5rP2Y6UW7WsdCDZg7g8p74M9Vg+TOU32Ttzmx4NkuFungoeOgTVZXJywHkzPpey/tFQND77l06mkVagDcesw2Aa8ee4vZEwvuQOU4UhTJtrv/wbB9AxNDYg+Bq1q7r10EopOSFYck0wu3cyaFFdOQRB0IjaU9Yy+mFVMmUaTRdEFqgThX0O3YUb+Dlpf2uUCa3kFRNXLBPuiNSCw4yeTiC8cJVqFJmjqxOHnyJD3xxBO0a9cuYRU6b948uvnmm6m0tM99wa5JRazbq5xYgEesx0icoYyGvuF4aqUppGyU7T1+Eg63H//3af+Px+URFCDoCqBLsEJiwQJNMdxqwkeopfE4Vb9aQEUOhfrkVC15ufpy2vTtjjrTd280QR640fteIkrLIyrXuRupwURKyBuWZCGxAKwyXZY7FvOK5hE1KAeoV00sQtAbQNP2oWnkLVlCJTl9ARY+ewQQB5oPiCDC7ImFth7Y+UVNLLqnfJBo6YeFI46rQ6nigw6C9a85xlmsYyH2haLpRJ9+i062dNJTvz9K85Nr6J7yQ5Tdpex/+iQTmJo7VUss3j/+/WRmaDSotFFE13yZ1jZm0p+f2Upf7X6MytMDRFc9RpRRdFqSVZxRTO3N7UKPx9arZsWhZjWxyB5PtOcfRHkTiUbN0pJqd0T3Rg/sJdgTMIXbSonF6PVPEu1fTX/45Fco/40Soop+OhaBoNgbuIPFBiESCdJYgPI0e/Zsevjhh+nQoUO0YcMGMYF50qRJ9Mgjj5Bd4XQqYlK9eD0mf0eNESPyCq1jYQXubN9wPOVFQoh5rKWbvvFCuJvJDU+uFyKs/SfaLClUZfeWWQWziOZ+mJrnfIpOUS6FVI2FYwAqFAIp0KfAv+VAzPTCbaeH6LlbKPTSlzQhv75jUZbloI+eW06LxuWGJRbMPzb79cBJ5rzCeVrHQgxDQ2KhFhVKs9w0oTCjT38SobOwgjMUa2by1WGJHez84slUbDZ1k5Y50eSOBfRXcM4zMxAMhXUsktOISuZRZ4FCbfkfx8tEf76ZRh9X9CWYRq0H6FPAgaYDZHbAThsYlT1W7I/resfTy7tOUNHx1UQH/i20eUBkB0sz+rBAoql1LJLziP76P0S/uUx083EmZFMHlbRtJ6rbTr9fX0kPvrRXOys1q2IUsE6Fm3+YlTLL3cySA68SHfgPTR6VSXlZGWH2yylqnIb6L9YDFyD5/5UYPkbUSrj77rtpyZIl9Ic//IFycpRs79SpU6KDcf/991NTUxM99NBDZDegQ4N5DHgv3G63mNcQC/i9Xgr5veTtDVJPT9/fCPlCFPQFqSfYQz3u/q32zILenl7BG8WtyxeihvYW2nmih1I9fdOVWW9S29xNXaoQa1wgRO/qnJTMHkxuq1f86ecUzglLIJIQSAZBhVI7FhGJhbvthHDGOO5MomPttaLtbXpOvStd+b7XQYu+/jJdOWe0QolSRdoTc5z04MWKOBUo8yiC3ZrWo2R2oLoMKhMoHBNyJhAtuJVo0kX0wotVoNETsXvaAEUFTrjNnlggqGYL5TG9yh7XHnCfNtdFby+JScOggwkNWtBn+gnkJ7tOiiAIToCgNelfp/ialCxMolwhpgaG7w1sM8o0S7NPnNav74DanQk4kknUXNQE3KV2+bmza6UOlpZYqHOO4AjFA2UXOiroii0/JKpbQC8GvktbqpppUXkuTSvOCjtX0LEw+zR2LibmuTPETBNyq/pTp6rJjOhY8HpgjQXE/GZ/D0ybWGBjf/3110XXgpMKoLCwkL75zW/SNddcQxdccIGY1JydnS2mcL/wwgtkB4BygAnTGA5YVRW7A7zL66emTh+1uRzkbekTMkO4jWoeDhx/ut/cwYPa0nSEHOQI9FJbKJP+vLudPrBA2QToF0uJ2k/QxKQHqJryyIcD4/hOGrfn30QFeXT0+GYyO0BXgKgOLibCzeXoWnI2+4TF7mHnRKJb/kHH2xxU/J+AmG0Shj3/oBJvLx1P9VBd3VaaC/qM2XmzLqXy5EPgpKtCUtliIu+tRGMWhv1/Y7f9SUsszH5gsL5iTtEc5XVkFInbMTG7o0nrWLy2q5a2H9pPNy4e2ydux3txTKlIVteZ+7rA9QANFTC6R6EDPv+FC8mXO1mZa7LuJ0SH3yDXuV/Q/h9UJdMcLipPzqFDPafoSMsRUycWTIOCPgL0Tzr0BtHx7ZScprpAoYsVgo1miD6zYiKNzu4z+AAm50zWEhQEU+ySZEZwN7IM9qL7/03pPZ6+xAJQhe19HQtrJRao0rOl+MReVcSfN158uX5RKfVmjCfC1hHss5vVd7CQmGJQXru3XQTmE7KV6dRmBBcTx6WoRTRXKv189SE6r66T5kdoLM4ZlycKESGd3WwgFBDvg5mvB9MmFhBk46bXUugxa9YseuCBB+iGG26gEydOnHFSsxUBvcnkyZNjSodaf7iB7l+9m6aOyqRffGSa8mDAR83VG+ieQwoV7fkPPm9a9xdslD947Qfi0HyuNUhJTYfpD6PvpaaefMpNS+6btNvdRKkZTAUKEdXvpalepUq3u7nC9NqCt4+9Lb6eX3I+OSFS/91VBKllJj1B3e5RRBPfJ77foLgGhqO1lsb4/QQjzmOBTjIz+OAsUQeg+ZJUsTYnFjOvETdYMHd09ApOcXaam8r2v0qeklzqdjiopukAledPJ9PPrwANSofyvDRq6/aRw6VcF28fOE6/bz5MyycXhiUW5btfJCoZRVWqXa1ZwWYEoC+kXvpVIVx2ZRWTK1mt1la9S3RkDblmXEOXz55NLoeDHNgDOhtpQms9HUpJoiOHXzU1n5xpUJiiLVDxCtGmX1LanDuxW1BApcflJAfpa5eoP6MDXJCQWOG6QtdicfFiMntiMfbwOqJXH6by0q8h/RaD8gTUjgXokZ++YAItGKsUQ8eqVKgqdf6D2Qfj5XvyKa9L1QhkKxTQ900bRZRcpiQWAT+53Y7TOliIEaDTgeUsClmmTizYll1NFEJuDz3y3wN0gWM0PXHBXZQ24XyNJvmXz4SbecARC0ULJNsysUhAYgGKT35+Ph0+fFhoKvoD5ll88YtfpF/+8pf08Y9/nOwGUKA8QmEcG5QVZtPFs8toyqjMvr9zYDWNeu5GOjWujPxJSdQRaKXRaf0nf0ZHQ3MDHfcep/Gp4yn1k/8SVadtz2I66CnKTVeTJVVj4HGG+ihCc2+k6Z4scq7/CjWQl0501NHoTPNWJtfWrhVfRRCkVlsAuFzk6Djk/aK1hsaoQ4KOec0tSmPqS4lToTx5ObGI0BE8t7mG7ntxD10xezT9/MMzyenrpMneDNrlSaF9h18xd2KhTtwWwm1gzwtiXsMjyy8kKr6A6DfKPuBO6ptEr8HXTWN9SsJ9PClEvb5uShnAPcc0U+jRcZj/kdN/IF2Zxu3oOkW/uEXXwUrJp4klS4gaN9Hhkwq90BLCbaBT0Zx4PcprD6CghEs/MLCJB3QWSCwO1L5r2sQCWhmNCqUK+buTlOsgqHUslMQCiTZujAn7/iu+Hm7cZ+oClN4RShTbdNeA/pzUT96OFPPPKZgjEgvoLK6edDWZFfxejHcrHYcQNHk4R4NzyXfBJURpAxRaQyEqJzehp1vVUqlpkCSGjhFxAkBzOpOGAiJm0KQ+8YlPmPaCNTImFWXS/R+YSTcvUQdCAd0t4kPliZMnTiiBiBnB7emitCLFUtbtoU6V2ZWWrObEDqVCmewIhmkMUideSFPg6Q8q0SFlII5Z3wNUE2Gfi44FH5DARXPK6f0Tkom2/JZo+7P9/4K2Oirx+y1hOcvPv0QNGliwrCUWEOV1N5Mn2NkXVKuH7DS1c7jfxNoCrAXQwUCBYrEl7XyO6PX7iI4pw+Fo7LlEUy+nDnc/TkCdDZQfDFJ6MEihpCSqrVMmlJsRB1sO9gVSqqnD5599j+76y3bFJS9dDR47TzcsmKDSXw53mZv+srdpb3hi0aZcH90qBYSD6oCvh6oaO6my4fSO5dQmpQtYUbWGzFyh7gn0CCvlMT7lOu9WXdICzKvnGR8RGLf/VXKGQtSeFDL1AE2+HoRtcJe65tOUxGJPXSvtO6XM/0FhKtJmlTGnQ7FZ3Xn0VTIzeJr8jGSlYxFU5xtF6q9Ow6E3aHyjcj4cNfl7YOrE4lvf+hb94x//oP/93/+lnp7TRcLPP/88TZ9u3uqgKdGjbA7FHEyeMO80TRaYwiKTAZoLkOpWKQ8qp9zjiKjQulJorkeZwL3xyCtk9m4FxHVCXKbrWDx202L68tJMope+SIHXvkXX/GKduIXB2yGoUMCxBqXCaUaAA17frXjVlzs8/XcstvyG6AfjaOneB/rWQihINPlSmqa29veoSYeZbWZRScNEcQF1dgHxcK+L7ie66Vk6mDLr9OAhNYeSrv01jVUHLFbVm9cBpqJJERxPyRpPdPhN8h5dT//aUUf/eO+YMtYmTeVXd54SlWisBbblnj7uIvF1P/WS1xs+qd5M9qqY3YCCA2xjBZoVCsjYSTPptS9dQFcuUOyE2zs7acUja+i6J2BnoUPAT1MylG52RVed6QNJUMKcPp7rouwNQY0K1a0loDVNXVTf1iNef3JPizZw9KCJ6VB8PQhBfkRi8c0XdtM9z6t7f8CvOaVFivnn7Pin+HrQ20JdXnPuk7CKZcrsdKciTA+qHYtM6iJX82FBD2Zc+uhamnP/f6niZDvR0TU0Xl0LR028N5reFaqkpIT+85//0FVXXUV/+tOf6NZbb6W5c+cKWs7atWvpySefpGefHaCSKhEVNHT0Un1bL40rSFOq+D2t4vFxPj9tTSU6om66ZgSGmgHj4cv914+LJOKaaZ+n6cWZNL4gPSyxKMpw0cTCdCXhePZmIm87rcydTH9ubqQ324/QN4IBMRTKbFhds1p8XVm2UnmAOxaowiCCUl9/UjBA71W3iIfCWvreTu3gPNbbRL7uVnKnZpu2vQ2xZdbUy4nSi2jL3iSiYzqNhdrud6nDAoWlZPYYolv+Qgvg8f7iNaLVD+tdCBVNPRiPoQYAj6yupZf/u4Z+etN8mjUmWxc86DoWmMg8+zoad+pt2lfzJh3xeOh9ZE6wk9EU0H7+cA1lC0ewXwuah1j7qaqhSE8rLXjwNWru8tHrd11Ak977Po2t20Z5oQA1OZ209/ArNG/6h8hs2N+0X3NBwqA3sQ46TorHUosm0uTUTKI5lxHlFVCneyzRDu9pM27on3fS1L1/IyoroUOBLuE+xzOQzJhYCMvdCiX5vv2i2fTxjy4kp385UXIKkVPpYLy4o47u/fsuunjGKPrVB0eLQs1Mr48qk90icT9/jMK/NxOw32M2jZZYLL9bSTKLFRE/XKH85OyjQkVMoxfwdVNxSw0VZY6mepeL9jbto0XFi8hsgD4EGJc1jjLP/1+ixZ+k9i4/0dZNdLXzHUr+f7cRzfgg0Q2/Fz/X1uOjth4/9fqCRCvvpfHtR4k6dtLBbuVakhgeRmyPArtZDMe78cYb6be//S197GMfE4JtJBSPP/44XXvttSP9ExJnwHX/7126/Cdv0+5jqid1t9KxmKRSoQ6rXGQz4ogqMJ2QNY5oz9+Jdv2Fblo0hr79wVk0o0SpRpAqTP/sBeX0xt0r6cLpo4jqtgnnpHOmX0+ZjmRqTArSlpNbyIxOH5uOK3SVVWWrwjy4Q85kZYYDC/PVYYjw5A6b7fC/O2jUXQcpA4dLUhJV1ihCcLOBvfaFk03xbKJFH6fkySvpwmlFNLFIrdbzTA9tCnlfIAWKAKxGkVRsrVKSNbOB1/CCIt20ca/ijFTV7qCjDZ1asMDJVuRcE2Cqai3JVU6z4VTXKartqFWq9WnKXIqQajWsJZlIogBvBzlVu29h7FC3nZKq3qV5PQo15r0qZcaDWfUV01kvdFKd65NeRJSqOuaNnisCq0DZ+acHkkDHSSr1+yk1GKTeJKJqVHNNfF2IhFvtQLlS0kWhLSUtS5lvoxZa2G5WXBeqJmWBT3lfth19jcwIdK4wLRoukIIaOPUyonM/Q5Rbrq37+lAOHZ17F9EFX6avXDZNJNnXL1TE3QIN2AtCNAcTaFXbWTNiXZ3SsT+n+BzlPEjNJZ9L2QvYzECvOdIPyaPkdJp17pfE9weT/NTZbW5NYiIRFd/FUaNG0U9/+lMxt6GyslIIujGR+4477ojGr5c4AwozlcrrCbR2dVSoCapH+WGf0sEwGzq8HZq7w+SMsacNQdNQNI2oZEEfFURX1XfnjKP3qyK0P+79I5kN6+vWkzfoFQPeNJcOn1Kh7kny0MSvv0x3/32P1rFg8MRpAVcKJaXn0ySVNnTIpPa7kXM8gI8tHUe//p/F9IG5ynRxrkpyx0L/PqCKfYFLCbj+vfFHZDa09LRoVepzRp9zWseiPaS89nFvfZHogQK6pOtfpycWjYeJ9v2Lpqk0kf3Nyu8zGzaf2KxRX7LVIyyoJhba3AreD3ScctG96VY0N4tUHcLaBqXCbTag8wYI+2mgTtXSjVkgBp/9+NUD9PxWhfLB9qKRYl3qqBfv3mTVQa+iRqFdmgmY4xF2XTCFJ1ntaEeAA0nxXnQq07oXdCpFuZ2th4RVu9nA3Qp09vvrxMJat5my6PjsO4mW3E4lOalCnwnHPA31SqI6J1nRJu1SK/9m69wwdfi8Medpj/MeGOQinI5OzEJ27uaNKllIY/xBCiYl0Y7DL8fz6VsKjmi7IJWXl9OECRO06dMSsUV5vrKBHjnVEca5njLmXPG12knU3ts3YdNMLU3MHIDrS1GyWn0kotqOIJ1q7+2ryl/7FNGnVxOV6YItlWeLoPojMxTHmDW1a+igOr3ajDQojdqUMYro4gdp34RPiG8dTO/SDUSLFOUBkzxKIFVhQmocXF84mFw4aiHRid1Eh1cTtUR049SOhVM/EGzjk0TfLSH61//ShyZ+QDz+as9xamo11xTuzSeV14+KZNiQQ/V6bw8qPGIHpiUGfXT5jHx66fPLBOVDw6HXiZ77CE3dptBTK1uOmpJL/c6xd8RX4WLk645ILNQjbcJKom82En3qTZ1vf5CoV9knL5yidNK3BtpEB8Rs1wMnFhpdZfEnie7cRPS+b9KBE+30kzcP0etblOskVaXQYV9A8KVBpU5NUROOihPmc8l6o1rpOEFnIq6LKx8luvyH9Kv3Ounuv+ygQ2v/TPT8bURbfyd+DrbD2h6pdixQhCv0+6k7iWi9+vvMhD2Ne/poUOjY7P83UU2fMQMnlPop9KdB7XjNUWfCbKteI85fs3WuoK+A/mzp6KVE7/2R6MUv0Kj6d+j5O86jT62cdpqQX9svsBZev5/ovT/QwmRFm/KOeo1JDB3DIlRiNgNmVAwVKSkpYnieRPQwWaWBHKpXE4vCacIJp6DsfBrXvl1U/bec3EqrxqpUGpPNbhCBJOsKHC665PF3xXTttV9eRWPz+/z5H32tgv6z+zh94rxxdKNOhzA+cxRdXLCAXmvYRj957Qv005vMcXB4A16RDIXRoIDMYqLzv0B7NlQRbdtNSWqVnqlQ4v9lLnVPG9HL9xC502hWzmT628k62tZhroCaDwxUJuExLuY3/PNzRDv/THTxA0Tg0TLUilRKUoA+tGAMleelE3k3Kl2eoJ9mz/4ozdj6I9rrJPrFm3fT/13zVzJbMC1a/AxUV9WiwamgUmBIcipbekGqkwrGRGhpVP1VQdZYKmo6SvUuJ+2uXkPnTLqCzAJMHedg8uLyi4lalOA4EJlY6PRUmGeiBVjq+1Uy7Wqa175L2Pc+s+8Z+uLCL5KZ9CUYDogAShNu4/UWKvd9x5ROxSzvLqI/fIcyy1C9/Zx4DAUZkWgF/JrId1r2RCL/MdrRYi5qHJKkfxz8h7h/xQR1Df9/9u4DvM3qbAPwoy1Pee/tOHvvvcMKAcreZUOBLkop0P6llAJtodABZe+yoewZQgjZe+/Edrz3Htr6r3M+SZZsJw1ZtqTn7qXGlr8EWfN7z3nHqEvkH98+uwarC+tx/ZhdwO53lZ3ucT/22b1xKrn2GePl6uqC987DG1rgk91vY2buGQgkG6s2dqVINpUAb10OGGOAuw95A2oNHIhs3Ck/C5Z3ZGJ9cSPGZsdi9qAk5R+pURacRqZOQnjjMjSogd11uzAs0b0jFgDPhWe3PSu/Piv3LKXuqGi5/JzQxw/AuGmnAe2xh02F0oqheiseB0xZmHvB3/Hx0l9gccNW3BngA1X7ivpYH0SR8vRDLydrCrXoPjVr1iwMHjwYF110Efbu3XtS/k5/NKB7YDHv/4DrvpB5lpNSJ8mrvioOrNZpIg/+4wPKNuTczHnewMKlNaLT3RXKqPd/6ta0mrGvug31LWIF1r0qp1NWcW/POA1qlwvfWWuwpSowai2+KvpWdkKK1sb759S7yQnjYnVeq5xMq1xO6H1neXjS4kQ70q1vYqJ7ENg2Z4ccABRI3tn7nvwzRTsROrEr4X4+vLqhGgN/94XsBiS5g6xwjROPXTwaP59f4LN7FQaVWo07Cy5T/s3m3VgfIKkfNqfNezI9L2te1w/EB97N3wNXfYgGhyew8K+56S2wQEQCJrlTp1YUKX38A8Ubu95Fh70DakcCHJ1Z3t/JrovudaaJb7BhE3Vn7poUGCJx7XBlttJ/dv/HW88VCL4u/lb+qbEOQKe7PsCXp9uPy/1cUPmkfnjrLDpEGpBLPGGQnans3myy1qPdnWoZCL4t+Rbb67bL9J9F+Yv8fuaZrO0yuGvx3M+TrtojF6APBxIK5GU8lFTTr2s3BNRzQXxWembbyN2rbh2hBIfDJTsiDf34bOD5uVh5oFruaK3Yr6SCSVN/Jne77GNuwNRO5T3z091Kl6hA8OGBD7Gmco0c9Hf9iOv9OoHBM6vHswjn83rQuwNNVWfX7I9YjIDKGSbbe3+8P7DOnQI6sBA7D//5z39+8OX5558/4b/ARx99JAvHRXDw+uuvy4nXM2fORF1d3Qn9O/1VQZKSJlRY1+5ftCtWutPOkn9+XvgFtlcp9QqB4MHvX0SLrQFOmwlb9iX7nBwaZXGyX7vZ/94MPD4cI1uVHQ6XOzXCc7yQN/wSnNeppAo9tvqBgNjifW6rUhNSWzUcB2p8WmK2VgNlG2BoU1Yl7SKX/JLXgcveRny4AfER7qJuwZPmogtHYto0DLBaYVcBT615GYGUErf4kHLyu3nHUJnm4Qks2p06uTsjJyoLogPUiIuAAUo7Uf8PF+W5MGHqr/Ejq0rOcbhr6Z1ocDc76M/e3Pa1DDLFlGm5g+chVqlFgW7+HFjdT2lPYFFU04Qnlx7AhmL3B6ZP/ZVNH42kTmWl8pvq9TK1JhCUtJTgqa3/ll931MzAo1/t854wRpnisO0Pp+GDW9251eJ94L3rgdcvhkGt/H4Oa2dXyqAhSu4ETo0dIk/Obv/8moBIiRKLem/vUubyVFcW4N0NpcrKrEj32a4E4Db369/pzrdXO6348ZRsXD89t0calCsiEf+3YSCc1njYXQ68uyswAs1ddbtx73Il++HKIVcqaVDitbznc6BkjTeAcug9gYWymOJNi/NJFxU1KR+XjMSsjk6RSIibv/hlwCy+iHRZ8fwV3fJyRevlXgKLW2bn45Y57p0t8dnZ2/DMvFnAzDvxUXUChrQrJ+CfHPwyID4rN1VtwYNrH5Rf3zr6VmVopuA+b2i2a/D88kIsL2rpsWNRkByFMVkxiHK5PyuNMfj30hKYG5RU8vtX/BVlTT7voXRUAn6PR6RkXXXVVbj99tsxbtw4vPzyy3A4HHj66adP6N/przJiw+QqnTjBKm/0OakGMM3WhHFmK1wqB6797GeobO05LKq/fWg+ufYD/LdY2dK01s3F4p31XTsWPoVpRk9gIVbemksR4VJOvh2ia5LoiiK2Qt0rFC61Bj9JmSa7n2xuKcRz215Af7ayfCWK2rZC5dLA1jgZX+/0GeS15xPg+XmYvF8pQNbqDMCQs+UO1erfLsDG/1uAzDh3ipinR78+Es9v6UR4o1L4/F7JGzgg2q/2Y06nE29s/xI//fancMGFWOckOC1pWFtU782r73R2G5AnukVd8Dycs+9Fh9WOVrPNLygVChvMyMclyLHaUOfqxNlvXYuGDvcsiH7Iarfjn5uekl8nuKYdtmWyqLXKiguHxh1YFFY345Gv9mJNoc9r3n0SvrnGiUPVwxDtcKDU0SZX7Pv7+8JXxV/hqi+ugsXZDpMqH7am8dhY0gh7+kTgtAehGnUpoo06xIS7VyVVGmDHe8D+rzA9KwzzhyQj3uAAwuIAjQGf7WnB/po2PBA+COk2O0qtjTj7nYuwvqx/F7T/c80HaHWWweXUwd46FOuKGoDKLcD2d4G9n/vPJ3A3uhA7FqKT3v+dPbTrfVO0lS04He1pU+T9YGseI6/+x4Zn0OzOs++vXtj0MS799Gp0OFoRrx0gTyYFe+0+4K3LgPdv7CpU9+xYeFLgYsJw5eQsLBINH7a8ASx9CLs2LsfXzvG4sdaJGIcDVZZCnPXuxd65Mf1Vi6UdD696Qn69KG8RWjrtsLbW9ggsRJOLW+Z2zRPTewKL7l3CREvr0iZEtWbLIZrN6ib8c81/0Z8tObgR13xxswyuZmbMxHXDr+sKmtwLa7UWLf702W48s80OTL7Vmy4nPPSjEfjg1mkYZFIWHJxhsVhbWI+HW3Yi2W6HXVOLSz75MXYGWH1mXzshTatbWlqwZs0alJeXywLurKwsTJ48GWFh7i2ok6S1tRWbNm3CXXfd5b1Op9Nh3rx5+O677/C73/3uhPyd/kytVuG22QMQYdDIC56eAbRWApe/DSQOwX11dbgiNQWt2iKc/t6ZyIuYgEFxA5EXk4mhKcmINZqgai5HU3OD7OfscjnhFNsC8k+nTCoyxwyU9QwGrRquphI0NtaiuV0pgFKOccHllP+P9thByEmMRphIVWo8hKb6KjS0W5Rj5L8rvhJFhEBL7BDkJplgcTXjYNG3WFK5GZWqNpnhEW8dgOKmCdiDVrTETUL0vRWoaWwBHt8ku7x05VIrT2GdWnmTbFGbgN/47868sqoY7XUT8OuWL/DHhHg8seWfWFG8D/NzZiJab4KxpUoWdIlblhZjhAYqeRvr2yxosblgMeW5bz+gbymCyt4hf48UUxiUc1oXGtutaLI40RFTIH9P8T9jSzFUtjb5fWqMwd0/3IXGDiuaOh1ojVXe7JVji6CyNqHGXIKPO5St7XFRc7HUHoutZT6dvdzBgsU9JM57P/TGk/ahD5eDww42XI2c9JdQb9+PSz69BNPS5sCkzkaqIQaxGjUinA7oXRqYo3PgUquRajIiwlwDl7kJrWYr6t2Po1jWU35DJzqj8+FSa+UHdqS1WnZaabPY5HwV+dyQD4vyPOqIHgCnRoe02DCYrLVwtVWj3WKTaWyef9Hs6MSBlgNYYqmFTVPr7U8/Vn8bnt5bgW3ivnAHFmLHorf0l12VLTj7XyuQHG3A2mHuYFtrxIOf7cJzy4ugwQg8Ewn8Lt2JVvUB/PirK3HVwAsR5zCgo7VTvimq5JqL8piLya3WqAykx4bBqFPDVbMHrR2d8nmtPJ/FkeLD2gmHJgzm6Fykx4TJ16OrZqccUCaeSwqX+/XlgkOrR4epQP67UUatLKBsa29DfasZTjjRaG3Ad43bYNHUQeXUYWDYQlz/8nrcOmcAxmXHyp0rFC4FMibimztmKf/8F8qKsw7KKr3VtxOQO7DYUuPCesdI3Nr0Dv4cH4dHNzyKT/Ytw+iE8UjWmxANFcJUGqjsNqhcDsSG62EyaOV90hGRitI2lXxs1eYG6NqroJyfKMMIo8O08gRf3CsdERkoblPL579GHCt32ZT3AfFXTGEaRBu1yuMelYmDrVp5f6stDTC2Fsv/RnlHKZa17USVpsPbCeqJOU9i7oFNaLc6UKTNQ8FUn7keHiLAEm8kLifump+j1CYJvymSQzZ/ef/XcjHmm5/fgWcLv8eNthpU6Opx3eIrMDftXExOHAJTZJbcDUuMNMDQdBAul0M+t5s7bMrrwCUedSecmjBYozPldUlRBkQ0H4DLYUO71YoG9+MuXwHiMdcYYInJl8+BlGgDolr2w2U3y0C4rtXc9T4JFxxqg3w/Fd+HG82oPPAm3m9T0nTCOmeizRkuWwwj1p1iHONpL+oOLNQ9Uz+8kofJ+S6rd1UD2zbAZJ0Bh+N72LQVOPv9C3Hl8HORZYiDy+yCy2aHMywJKl2EvD80ljZo28Vih/L7eh5T8b5mttlhi0yDQx8lfxeVuRm61lL5dWKUHnK/wOVEo9mGTosdVnGsMVaZvWNtga65UD4HxLFic0Fc39BhQZvZjoqweHxbtRJlls3iBQpXZz7mZf0On2ypwZ+/3IMb0g7hZvHvGyJhc2/huYz+qVD5iZH403nuqfWv3QUcXIL2lLthwUgcGvYHPLv3TlyXnI5mlOOqz6+SjTPGmsYhxq6FwSmeT46uzzGVGs74fPnZKK9rPISKmjpYHQ7l+SFfE+7nu0oFa/wQOWtJ3q6GQlTWVMv7S7lCfioq/cLhQmfiCAxMVu5D1BeiqrrCmwZstjWhpqMY33UWoUFrg84Vhg3bRuCxd77G1+NKMbBbYOF9Pbjp1e6ueZ5avN2fAGLXcsA87K5sQZN9Ei5v2YXnYkx4/eCfYdMWISO8ADqLHWF2Owwu8fq3y8fR81wVzwN1YoFcxBPv/e11JdCYG72vdXFeIb92OZEUbYQuZbBM1RODCltqD0HbUev+/d3vpe77I1UcmzpEpjNVNXeisboY+o5qOF02HGjagq/sxXCpgWRdAR6Z+QhazQ48vng3Npc24SOt8vlnVSvnoTW6dOCMy9Er9851hzoSrRY7anVp+Gf1VtyUkoxmFOPSzy6V9X3jEqYiLTwHUfpYqFVaqMxNULfXwuFyyfOjpKiuKd/lTZ2whKfA5R5mqra2QNtR403JS47uOrai2QxzWCJcOiUDRWVrha692vsZn+I5Ni5XNhsw+kwTD7rA4ttvv8Xjjz8uh+SJFf/wcOUF1tnZKdOlfvSjH+GXv/wlJk70KTg8gcrKlHSQlBT3h4ab+H7btm0n7O8IFotFXnyDqT7TXq9seRpNQFSykkvu/Vmd7HBgd6mhjU5FbvJYvFi1Gb9MTEWZvhMHO7/HwfLv5WAxnIwgvPIHHCsWU30XzlWAzuXCFc2t+Gnzcmw4+3bE5E1AuF4nVxk73MGDd9XNJ7DQ9ra96x6A848l+9HckY7tpnCUNTXjxRgTtjR9iS1bTsJE7sONDfHZdPA6wgyeUWYLHmv4DhMxCzsrfAMLZRUmLCJKznAYlBwJbHtHSfEYdr435UeyKSdjNk0YDta2Q6VS49WFz+BPa+/G6qp1WFp2itMefshzQyM+t7SYlXIeHimYik3Fh/A0dCip7wAcyg5Dk7Pb7AI5xMMGvVN5ncpVS/eORWWHSgYVwoxBKUgf9Rx+7WzGPw48guKWQjyw4a/oE8qQ2MPTKK+Jh+rrscJehSUHjZg1KFEJLERQ8e2fgFGXK6kMgsgZz52FZkd6z+m67nSQ/a0alLmScLZxMOqb9uP5GBP2tqyXl35JA7nbeI0ZuHbE2QgLT5CzS0SQKU6sRTrD1tImvLmuRNac3TAjT5lbIAq6Rc2Ab3qk+P2r22RQIdIG81NigItewavPzsJvTHo5VPTbqnfxbW+v1xPlh5Qa9nI7pnV04nf56ZheAhyq74Ar8ZBywu4zt0DSugMLu1We7InfWbQn912MEO+XmXFhuDiuClNqSvHzpEQ0oRRPbFFWwvsjl0uFXNUCvDTvAiQUjMOXOyplp8C6evfunD4SdrM7HSzMfYLtbi3rx91RrcbiHqw5cAGGTPgY70Zl46mdT+Djgx/LVCNPd75e/ZCN3x/SN0N8Nuz4H8dogTi7Ezfn3oK1NWIgZAfMLcqJK8LjvIftKG+WAeEQsVjgcsDg/qz01tss+wtQtR047ymUNyVij3M0HrVFYldHJ1aGA6/uUobJnVA7f8D9cKSB6GpgRkcn7k9KkgXbDVYrXl6lLCzaU9vkCa5FHf6/F+HcMyuaodSsfhR1GW6JPIj3y/fg8bgYfBkRLmtZPPUsfemjcz9CXoy7/XwwBRZ2ux3nn38+NmzYgCuvvBK/+tWvMGHCBEREKJFZc3Mz1q1bJ2sZzjrrLDmZWwzPOxnpEoJW6/9riB0IEeicqL8jPPzww7j//vvRL6z8O7Dqn8CU24HTldzC7jnlz66qxEv76/HQqBuwoPwWfFpegk1GAzYYDTio02OxbgSyEgCzsx0u8aKyKqtlgsr9fiMGUIkPrGpVglxl0Gs0UHXUw2lpd6/aKMGAcrxybKU6BakxETDo1FC11cLZ2Sxz/t1Z8Mpx7n+/QpOO1NgopEbHIdfmwNDmRoxVRSO9ZQvgbMLUsheB6V3Fqp4VG299hU9goVc5eg0snv7uoJy6m58YBePUO/HLr36DCVYNfmWai05UwaXuRKyqDlr3Cq9W5fmtldUyEaDVq8SbtLhOhXhXA3Swy+/EDoTnWLECaXeqUKVWAlZxbYKzHkZYvSe/YsNC5ZmE6lChVJPhPhJIctYiwtWJWIcOE4ypuLZhK/SWapyhXodPmqfKAEmsBHt2IXJTk/DC6ROUk+n7lRXbvxVlYU21Gr86bRAm58V3zThwKikRg5KjkBUejmeqarG1ogorw8JQrNOiVqNBu1qNNrUGFpUK9YiFC2rERehhtLfKXRJltcnzCHapVSVA9BxJiDIi3N4MlbnFO6TP9zjxdZU6GXbo5OpLlKNJvpmLnS5xIuQ5VudSIckeBlPq+bhlzg3IjIkFXj0Xk6p2Igx/latA0CsnBM3uFqveHQvx4fjMDOSFixarjyvPhfgBQOZkbGhU3pvOHJ6Cp65U6hTEftG84dPxzr53sH7dv1DjssOiUstngsN9g8QfNujQBBPiI/UwaDVQtVbC5XDIlXrP7Vb5HFunipcrV2JAl6q5BE673Vv34nu8uC/E6yXNFIZIoxaqhmI4bRZ5u8XPI5waJDsicbVaj5Fzfo21ZQXAwVJUNLnTuxqUQAlxPh8you3ohOux/fPdwL5C/9fD7HtgayzFyo/cKYXz7sPP3v4RsoY/jL8X7kaLowQxqhLEqSrRKe4HlQrilshWx6KREFRwGGNQb1Z+23CX2Zub7Pn9xQmMeA0JjvBEVLQrj024qxNxrma/+0AMK/N0bHJEpKCoVbyuVTKtMdGpnAjGOPQY6IrDTeZyxLWUyfaRsFmQEj0W29AMa9lWILoU5ZXheGt9KaYNiFcCC/kfMCiBhU97SaG4XrnNuQkRyu8Wm4Pk857Bi29djqVheiyOCMcOXTQOacRqtwtxEQYYOquhcr8GPC1b3WWf8jGvV4kTO2V3I7yzUnzQyOOcPukmKvexNWplVkBylBFRneVQOW0QD5MIAj3vKOJv2VVaVKqVGS05sXEYq3VgpsWB6UVfQNXwOM4d8iYio+PgKi9Wbot7x+Ki8RmYUZCAxPYDgJh557Bi9iPfoc1ix3d3zkZOQoSSZ67R4awRqfLicjqhen85Pt/9IT6LiMBWo0G+LzRpNLBAjVpVDDqhl2/2RpgRBeV9SKtSex978R4o7ppmRKETRnmdeP8Tj7vL/R7ofirJgmJx1zSqotGOCOVYlxVJcrUJMMj3S/fzyOGSrx8LYtCumoTrCxbg6j1/hOq9d4HrvkROgngfBSzt7nopQ5Q3oHZGKQMU5fumpQ0OXQSaOqxyhTnJHVjcsWg8rk+ZKl/b0KdC/GsPTn8Q1w+/Hh9+dA12dlaiVqNFm/u56nnsxXtkk0Z5rcvr2uvgtLpfm93eF8Q7XK0mVaYuy8e4rQp2s/gc7TrOe7wLKNdlIc/9/FS1VMLW3izvX/m549IgwhGOVKThR+NvwPiJp6PkCyWFzyUWHYWIrpbU5z25UgYRRZF6eX6gV9m7Wu42lynvm2KXfsACTMgpQVVLOJxznsCTn/0ES0//C1ZUrcOywl3QdBRCp+6QnxG+t1XQiM/C6DSoVBo0d9qhNjchAp1+94HsFeA+wVfFZMqOhmKn39XRgGhXm//nhSeTTauGOi4PKq0R9e1W2FtrEONslsdGOyIwRp2Nn1Z/AVX1m8DkmxCXPlbuComFNIe5VZ7gWmVg0QG9WJhsLpe7TohRZmM98OkufLatEm8klMvy/di4JDx95VhlF3bwEiRvehV/3vE+flW6Hl9GRGCz0YC1mjS0iO00lRNhsCASXamD3no/KK+HFkTCqlICfIPLgii0H/bYVkTC4j5W77Ii2v0a8zs2MvGw6bBBEViI1KF3331X7kx0ZzKZsGDBAnn5y1/+gmeeeQYnQ0KC8uKp96xUuIki7MTExBP2d4R77rkHd9xxh9+ORWamz+TKU8nb+UU5GW7utMmVXJ1WhcHuFdr9jTbUtrpQnzRF9nLXFK/AhMhkTIjNBaLTlIvPE7tfEW90T08H9i9WVhvF9xteQlr0QFw5eT4i9NoegUW4xiVTd/KcJcDL98qTharZj+KFFcrJ191nDoFmyCwgNhPTG4qwVpyAebpF9Eeip/aKx3GWcTs+6ZiK/dWtGJcd592y9U7XFY+huA+cdhTWNGN9MVDV7P5w6xZY5IlteJcTqoGnY3T+HIwWrYmThgCRKf47Hf2JOAFqLIausw6nqTfg05YZcFx4LzSd9Sj9Lt774SO5a2rEiZp35XbOPfKSXNSAayIqlYDLR4wxBjeNvAk3DbpcplD0Z8ltymTkas8wTHev+nZTAX70+DLZo1/MrhDpkV0Thn1SoQadgbrmTlR8+K38efTAGcBPVuO8xIE4z6fZVL8k3tfWPaM8pyfeiJSqnTJ9bPTex4HVq5E4Wiyw5PqvSorXdyfw0Meb8VJRIZ6ZacXcyueRbs8RIaZ3BpA06Ayob1mBeeUbMU/s+qSO7p+vCXEmWjUBqN+Pf4woAcbMBB50b5O6dyzEia482e3IA077kzzR1n3WrWj5/euBA0uAsx4BRl8uO6bhghdgOnAZLre04nLZLWlQ/7wPxGfCwQjA0gy8fiFSLv+8K3gQH42GSHx0+3T5u8rFmDt2KxPJNVoU1bRi/mPfIyZchy2Ryg6eyhDdVZvjQ6wK37HoFSUzwGcHoD8Sn33CN8bTMerMuUDmpK7FMXdwK1KPVD6BhQy+xGeskDkRqshEPHWlzzlQ/ibM10dgft5ZQNe8uf5HNHDZ86kyADR9rFwwEIHFh1PewyUjY9BULH7/HcgU23+PLwIMJuAeZftI1OGJ4cLLx/wEeWf+HOHRaTjD5A5GhUk3y0tiex2uaijEVRGJSlASACf3ARdYGI1G/PznPv3jj0DsYviekJ9IYuK3qOdYtWoVzjlHGX4lrFy5EgsXLjxhf0cQAVRvQVSfcJ9Me1pKfrWzCne9tw2zBybgZfeORUmz8mYiZz2kZQFpSnFeQEgernwQtNfgoy8+R66qEiO3voHYgtPwpyt+2WuQNSErGqsvmwcUfQ+8slymg724sggWuxMTcmIxf0iSchI+OEB69hecBpSuR2PzYKTqjDJ49N2y9fugcwcWJne8KXJEpdGXA4PPxttf7gbKmpWibkMUMOU2BAzx+I64EFj+N8zRbMFHtuloKLhQpnQMOLQJsW0W5eTBc6xPYOFpOSlMzI2Tl8Pq50GF78lDZbM4sVoqTy7FY9+RNgX7qjfIHTERVAieE2zf+0Bo6lDuG3FiJVfrE2VGdv8nTnB9Zpbct2gY/njucOC5v8jvOzXK4+cXWLiLlzVOsQvkgr6zGihejthIEXCfKWtw/CQPVS79mXjMxOvhu4eBg98q7xPyPV8FRCsr917iPWLqT+WX2i+/8Q80W6uUE3HfCdXiZGng6ej3RMB42ZvAi2cAdXth+vJ26DW3IhLugFsfBVOYz1RpsYjWo/WwGJbobtogAofDifPppNVfWdowzLwRYplsuW0QfjVpmvdH3nQncdiEWxGmAWYMG4CPB0XI2il8q3RZQ14vc64OM7283xHzjE57AIhUOt15FgwOtGplEGBRKe3IXb3UHHmeD426JCDzCO+FYgfIZxeITkHxthiYt3v3btTU1MgPq9TUVDkf4lRM37711lvxyCOPyJSsYcOG4amnnpIzM2688UbvMXfffTc2b96Mr7766qj/Tr/mDSyUE8g492pLe3vX1tmhVuWEQqRZBBzx4TnlVlmA9ZdVbfhpWjlkPyNxUtyd+NAQK+9hMX4t5sTMi4+2KAnsN83M75pcHSiypwLXfoYL7U5c7luc7O63/dqWFjzw4Re46/RBuMH9fIhyv2/KbkieE+2IeJwzbSRysptlKlRAypkuA4u5kaV4bMEohOuV95UnL+8236NbYCFOomRRaKA99r2p249RZf/FWeo27GmaBXz5W+X68dfD6m6pKSfrrnka+O4hzI9dgH/gfNjs7hML0S1t/1dwyKePqtcV2kAiu4aK3aw2pcC/TRvrX28juAscw1TK80Hl6SbmnuHhd/IZaK8H8R53aBXaa4qVrPDodG9Nxff7amUDg/HZsRifowTTSuMInx2LFqXg6aHlTVj77QoZpI3KdL+HBgIRNIkGJU9Ogqp4OeZEnIWIDnctTW+fE26e6dN2sdvvDizu+qQQsUlW3HNWV+ekgPLMDIxvKMQ49T0o7/TfkfV2xxIvlxm/Ftu7EEd4jypZq/yZM00+N8ROZsC9X0aJ1NeeCzDVLRb/InXRQbH7HAv3Z6vndbHyQJ1cfBmVaUJGbNcAXjqFgYVIiRKTtMWJuair6J5ydOedd8ruSyfzifrrX/9adqMaP3683FEQuylvvPGGDBh805zEMT/k7wREYOFwBxYid1J8uPoEFk025eQrxf0iCzjTf4mG3dWo2LoBjk5ly9qujUBzmwURBm1XAfe83ysXD3drWgt08o1FdJAS+caBqsfAr3HXyBOLQyU5shhTvra6BRaig4qvwSnR8hKw3Ltt0Z2lOD9fBYgp1KKNZHr3wKLnipTrhQVwNZZg36wnETd4hqwVCkiF3yFnw0O4SDMK77bqgY49ynTdOffC3uHsOnkUQZW5Gfkm4J2bp7i79ohVh1rg7SsxTK3DN78sgt2T3B2Ilj4ErHtOGQbarhSrtmjECXSLfL173fCNnMZ+8F1RBVvpfW/ocOkCO7BIHwdEpWKfIxXnPVeGu89cix+P7tpx+3pXFf6zpgS/nJeL8ZqD8vXgjsWVHSzx2IvOgQDW1xuwtcX/sztgiN2EYT+S05UXqVbiGcdkzJ84GoMGT8QfP9klTxZFY5OEsiVK6+HcmdANvFT+VYOjA9Aqr4GP9rQhu7EmcAOLtLFAQyGGq4oQ1+4ESozKdVq9nLrt4UmP9BKLcKJuSUgahjfWluDBz3bjwvEZsg1rQCr8DsNaShCFMJxb9gjwVS5mTP4dXrt+IuJUbYDorC1qLERgqdZ4FyKGVn4ArIrEuzty8WGhCo9eNAoXjmNg0SeBhSjafvvtt2X9wZw5c2SNgiiOFjsXixcvxkMPPSRXDMWOwcki2tv+85//lLUcTU1NMtVJXOdL/My3o9PR/J1+rVsqlGfHornDCmRPQqe5E/ZSrVJ861voHGA87dhc7h7kB5pVOONP38huSC9cM8Hv2GX7avH44n24Imw/LhJ3kS4M95w5WBZ8BfJ9gI4GJW3Bk6IxSvlgLHtto2wZIwMP9/MhUqeUCYoiTWnr20DpWmDwWf5D4wKNqCcRtUGNRcCuD4Gv7lXaKd7VbUKup8bC5cRZwxLlVHJVdS1U7dW494MdqI/TYtmve9nyDwQpygySIeoS6Jx2OOIHQjNgntyps7W6C2nFh6Sn5kjr8k/9crfbVBmjMSBQd648xIlxZwM2LHkX493BQqsm1h1YqHukcmjdO+dqd5poVnI8Hpg53LuaH3BEKtCv9uCNj3agc/UhVItfy9SVBuXZpQqDDXhBed2HRb6j/EysYIuOgu7PjgOdyn0k02IC0dBzZWAxCdvwWs7taBg2EMiNx9svfSnbEd8wIxcJdfuAHe/L9sO6wUq70TaXEY6frMW63UWwfOnoSqcMROKzYQcwL6YCE9rfAl78C3BXEaCNk4tPHvrWMsDegWJ7PL7Y14pcVQXOkD+IlDtANa21sqC7RwASKHZ9BLxzNUZF5SBR8wvMa/8M2BCOpNMfRJLI3LD4LCqJxSd1mPf9YlLlG0BxCcJMojtgRuAuOgRDYPHiiy9i+fLlGD16tN/1+fn5mDJliuwU9bOf/eykBhYeYmbG4eZmxMfH/+C/0695i7f9dywqrOEwX/0FVh+sA17e4N0SDFQp9nKcrV6NaFu9bDnZqVIeK6Nn+c1HS6dNDvc5M1kJQvTGcNw8Kx8BTRRX/ud8lOpycD7+hs9+Nt3bgcSzdasXK7Tu50OU3uW/YyHqTbb8B7s6TKi0jcC0AQmBG2SljpSBRf2WT+U2vjMyBSN+/6UMrJb/Zi4iDdqugBvAvy8dqeTlP+rZwdIjIbKf1EgdCxlYqpCiasTff3MbVJH3e3csPc8F+SHp3c3smi7rG1gcMZ88ULh3qkZ2rFXazOhFFyLlsdV13+GT94vKL7BIiovBVZOVQudA5nk+N7T7z6nwrFKrdV3BQpjGpx23WKgQ8Vl4IloblPsrNiJAT6SyJsuhh4mZw/D2JeO974We4W8y2PbUSTQUeZ8fTqhhiytASYRYld4e2CeSScqi0wTXLuV7Mb9F7GbKAZue9wYV1G9fDlTvQP3Ml/CXrw0YmxGFM366SWnFq1LJlr3yn/Pscgaa/LmyLX14azGWXBIJ/LdbnYhnR9sTWOiU4cLyR+4W5U1W5XsxX4eO3THfezabDR0dHSgo8Jmh0M2gQYPkjgCdYKmjgMm3KX+KE0qDVq4yiEIt8SEjTjAm5cZhSGoAp7+IgPC/F+MJfSmqXEr+dIcqvGe72VX/Aja9hoJUUYg/BmqHe2eqnw+Q+SGr1Jm2YvzV8UfYPx0JjF0o6y9kq0BPqpTo7CLeKJuyoNeWdaVPuVvTvrW1Hq9u2oANv5sfuIHF8AuxuCERZWWluFbUqkemyBVJcfGmv4jHfNBZ7pMLT22BcjJpFm1uA/nkQeSNi7ayDQehqt4BRIoPUa1fHrW8H9wnVu1mM95dWYSEKAPOHpnmnTzc7ArHC4v3YVp+PCZ165AVMETHJp8W067IJFw/PRcXj8/s6hAmrH0GKFuPQR2imDUJKvfuBnTBkeIQH2nAfdpXUFCkAqr+D0gZ7legrdZ0nSCePigWg7IjlF3gRqUjji0yFWhQnjcyMA9EotZC7FyKlNDCZcrzP2WEt92sTA8Uu51CY7HfarwIsjxNMaKDILBAh3tWh5gu787AiNBr8bN5ytBWFCsn1jqxkwUDLE4VEJ+vXETrcHdgIRpjBOx7ZP4cYN+XUIlJ9II+Us7xEDNvCpLC4c1zcC+8iN9V1B7q3U0t6i3K/WYKD+DnQz9wzO8mYu6D2KkQuxGPPvpoj45J7e3t+O1vf4tJk5S2Z3SCC3vFxU3k2Ys3RhFUtJrtmFGQKC+BTiUCp+ZSuUortPcWWIjVlrq9iIhX2gc7RO6kRi/fIBqqW2WHiB51CoEiMlHpkFW9A3M0W4G94vIakD0dVvvvulaphyySX5/jcOL8acO7aprcA/I8q7kBvd0/9BxsKxsEZ+mj8lt7uNIBxK9gVxSvim4xnjaLYlvfZpaL2maXPvA/LFJGyMACJWuU1Tk38XCL3UlZP+LesWjvtOAPn+zCxJw4JbBw71jU2Iz455L98oQrYAOL6FS4IpJlituHjqk4Y8xCWXclLn5KVgM7P8CQQXmYNmAIog0aWXNR2ORA1cE6jM+OC9z3hsJl+NF3NyNMWwnZ7t72K++PPMWqOvE+qdbJtKebp2UCJmVoIjqiZQDebMiUQ9tEGlTAFez68tz2D38CtJTDef237mnw3XYsOuqgt7fj/LHpSLeWwLjiL0ivErUpBYG9Y2HKBMR0ZzGzRQbayd6ZEOI9744F7m5HL3gCC0+7Wf86q7o2a2AHFkLuTBlYiEYVUkQCvt1Tg8cW78NlE7MwYdy1ynukewFGXCcueMgTWCj3XEA/H/qB43pXFfMp3nzzTVmoLeZaXHrppbj44osxe/Zsed2KFSvkZG46+X4yKx+PT7VgwGvjgFfPC467PE1ZmfzSMQFbL1mHrSblZCrMNxXKfSKlc69evqNeCPxfLX5UcRUWPP49tpYF+I7Zj57BgbiZ8gTKqnLvwoy5smvHwienXA4e8j1BcM+xaHcZZTAWsCdRbqJmKF+ttA60RiupLMrQrZ4nRUN//xUG/vYzqNw7WGboAzeP3CNjvPLnsr/gq4/f8F49PN2E1ffMw0e3TVNOJOWKkXLy0GFzp8W5A4sWV7i33WwgU6Upu7WbnAWoGXpd7we5dy0nZ0Xg9RsmY/BVj8NybzXmbpmJy59bi07r4Qei9nuRSQgTg/g84rrSPj0thuVqvbvlLjw7uULuDBmA7xnxa/ltwL8uALyxplgGFYLdM23bPbhNrmSHKw081E3FeOzi0fjVaDt0Kx7BsKoPAj/1RexOJA7yftuods846s59Mu0JLCZYViuNEIpX+u1YBHTKaMZEv2/N+lj/tOFFfwcWPtozJdS9m9nu0Ab+Ilw/cFxnGqKr0r59+/CnP/1JFm6Lom3RgSkjI0MGFKIF7ZFSpegYibaJYmJmq5h3r7hxZh5+NCQamvbqri3RQJeqdAOaHdeAgvx8tDiUNzy/dB7Pm6VKefPocJ8sNLm3uAP+QzNlOPbMfga/sN2OG+NeAG7+Hhh9GUakmzAlL16mushaip0f+j0ffFOhOmAIihWYOJ0dE9XKhNnOeCXto9dgyeWCuNogt/zhDSxiAv0+GHMlqk2jsM45CF+1ZB9+lyt9PCwxA+S33pNn92DFZqdSpxTo7WY96VCj1QfR1GnFx1srcP8nO7F8v9J+VvKcVPtM3lZSX0RLTcgBewEroVvPfZ+5NlZvapza+/5osZjR3GGD2dYVTIlVfTEJOj02AOsMfdUdwCVfjZNfitnl9oiu9qPeNEn3pGX5uelzIulpPRzQqVDCpFtQp1GyFNp0XV0QO6x2OVy1vKnT+3rQupT3xcm2dXKRAiWr5IT4urYAT4Xy1OL5pAB2aGO9dSaHXVgTWQ7uZgbic0Kky3lamtOxOe531ri4ODks72gH5tEJsOczZXJq7izgxx93Xe/OJy9qduKiPy2W06YvHNdtaFIgcdeQGJsLAVcnOt0fin6pUO4JmFpvYGGHw+lCi7uAOdBXZgVPq9i1NRrYk0bIF60cDubx9G+Bqm3AFe/j4RUNWLK7Bn+5YATGWZVUqA6XEdFhAXwS5Tb80KvIUNWhQRWLlpTJANb1/LD4S44cIpir/icOIgKdyWNR19gMs1kf+M+FsFhsmv82fvL6JoxRSiZ6EilS+XNRU9oEbFkJs83dFWbgaUB4LL76TnmPCPj7ImsS6lVxeNZ+Nu7psGHVgTq8tb5UrrZ600C17hNm9/wKT5MHT12aZ5hgQFJrYB+4ENp9n2FLzGkY4XLP9gDwu4VDUD8rH/lJEcBS5STrTx9twWvFRXj0wpG4cJAOiEzGrIGJWPGbrpS6gGVKh8alvN+r4YLN57RGTKOX5HAzlZxdIYIrV2ebHCg3OCMR2396mrKzEchGXYLdSz7GjJZP0aiNhzuMwpaSJlz+/FoUJEVicapvjQUQ7nK3pzfGyEGy84cko7bNgviIAA4sRPAkMh1EN0SxA6GN8e7uy0Bb7NyKmT5i7pVGh292VeOxzzfDPbsdf7lkAtqchsBODewHjulsQ7SU7ezslFO1j4aYcWEyBUE3kv7CM07e3RVKqGo2w1pdL99QOpw6mS8Z8C8NsfpqMAGWZuCLuzEu+zdyZWVwSlTPVCjY5QrkNbrFcLzxIs5SD8TnzslBsVKflxAhiytFG9n9NW09i/J9BiYW17XjQE0bVh+sxzhPKhSMQXE/1I/9Gf6x2Yn6mOG4B/qeA9F8GDUutCMMhed+iMLadtxc2YKRGQE0AOwwPKvL5Y1dJ8trC+vx8Bd7MCQ1Cg+fP9IvXdATjMsgPXUUli1eItflYsICfMciby7uTXoCFdVaWVPQdfLg867nXqHdfqgaV/zhKzyR/ClGGioxUTUZleHdZqAEIO2PngT2LMTowQshx667DRTthD2L9mJaub0T7ftEepAdms5a4G9zlHbNd+zxDtULaLowtMaNQFTDdizTTcMMgxar7p4rF5i8z4eLXlZS49QaTP7j17jAshX/pwNUujBEBUnay5ak87C0PhYDo6dDWZIDLL5NPty7Vxr3jkWkT2Ah3i+evkrZ9Ql4Cx7Abz7ai3UVVvwucxSsVT73wVPTZN0mblwqu8uJ98e9dVbcl/4Y7l+Yj9Nzcr2F73TsjukeNJvNGDhwoEx3amhQJgH3Rgyhu//++3u0o6Xj5M6j9g0sHv5iN55YvMNvAFTAb++KFrojfiL/rK2tkkVWj10yGnMGdxXudvXtB7b/4XTcMawT+gNfIltVI0/G/fraByixsjolP16mPvn2Je/ZftiGWQOV+2bxrmqZNvXx7M+x3xUcfbmjIwz42DkVeywJsvvPhJxYjMgw9fraMKqd3gLFRaPScNcZgwNrsvBhZMcpizk1rRbvhHXRtEG0Wt5f3TUg07Or172OQKQNBcWOhVqNp285C9v+cDrmD032dkLye727ayxUDqvcwUxv3YqYksVIVDUHxetBzncZc4Wy+no4U24FZvwKnQYlPSayeb9yvcgxD4agwq1yzt/xkv10/AOXy/fLtJgwZMaFd608i7aj7gU58RzxpkmKltRBojNhBF50nIk9mq56C780oIFnAlNuR0zuWLx102QMj3MXbx/p+ROou5nRQ1HkSkWVOsm/Hben5aw7PVJc54AGO7RDgLzZDCr6csciPDwcX3zxBe644w45HG/y5MkYO3YskpKS5G5GZWUl1q1bh02bNuHss8/GN998c6JuLwm99KoXJ9EaKCcN7Y4Anyzr44OwH2GJxYghpil4sLcDRL9uU5byIdtt8nYw/P4ez13tLtx1m/XIUpkv/u7NU1Dgs2OxYGgyfvvhdmwta0alIxIjh4/Gw1GNgZ0365ZqCsPvzx4qi7gLkqPw7i1dndG83B8cYWqHXyFrsBBdXlKijahqMWNfdSvGZcf59OxXKR2j3r0WyTF5AG6VK3KiQ5aqeIVc1dfbWmFGROAHFu5ueB5Wu6OXwMKd+uFS3he17l71ndAHzXuDeGxbOu3QaUVeuPI+8OHmcrSYbfK9QLxmvN2RRApYywHlLyYOwX0f7ZAB6e1zC+SxgcyQNgT323+McMv/zo0XRe0GlfKcWHWoAx+9tw13nDbQO5A1UHnqCZvEoNxugYVswzz6Mvm1+C1FIikcXTsWYgFCBB8BnxLm5nl/E5+RfveBwT2h3tIq/9Brld9XBB+FtW3YVdmCnPgI2RCDjt0xJ16PHDlSBgxbt26V07dXr14tdyjEBOvMzEwsXLgQr7/+OgYMUIoI6QRy96/33bGINGrhdK/CtDndnQ2CIK8+OiIMm1wDkWhRUoHE1rZfJ6CxVykXD3dgYQ6ik4feNHXY5JumvB+8gaZdBhDjsmKx4VAjvtldIweB5SQcXcpifycez+umu1tH/o/Xhl7txDBVEYa/fQfaTLmou+B9uYIZDB+cg1OjZGCxu1IJLLw9+8XJoyhCbK2AzhCFl66ZIFMcRAt71ae/hL5+P+akL2AAAJRMSURBVD6/5D1Ux40L3LkFh+HZsfBLjZt0CzD+OqzbUAMUHYDO6S7YhQExQZL+cv0rG2Q7zb9eOFLO8RD+/d0B7Ktuw4DESKQ6KmVeebQ77SW6zR1YJA3GngOtcgHCmy4XwDzv9aJ5R3WLGc8sK0SkQYM7TnOv3hevANY9K2c+6LSTYHQvwu2us+LtilLcPndA0JxMN7pnMgiidkLQa3sJuHyGZj7+zT68vLIYP507AD+dVxA0zwfxGXnDjDycMTwVg0QK9UF3GrF7ro9eo0EcWnBm+1KULt2E2zflyx3uf12mNI6hY3Pcny6jRo2SFzqFfFaoPUR7tGJEosKYj6J2Zds7GE6sPZ18xIn0hU+twp6qVrx2/cRe53Tc/NoG3FxaCZE9PXdYJobkeUrYgocoPBQrL36rMN0msU/Oi8fuQxUYsP4PQGsmMP/+rl7vwc6dCjUiNRxZ0RYYqqpQ2qbG/Ee/w+b/W4DYCH1QFPOvK2qQM2v8B+R1Td5WOW3+KYOdyiyYjLQ0ZCR3dRAKZJ9vr8Sb60pkmqA33cG9AinJqbsRUOuVkwide8fixzMGw5CrnIQHunj387m62dwjyJJTpv97M1C2DgOzxH5vLiI7lZasYthio3tl2/NvBDIRKIvaM1OYVnZAenFlEWLFDAdPYNFSCez6COhogE4zBS/Zz8DEs67BS5+UB03asFhAmj8kya+WzJsK5SlcNjfDrArDO7vacYWlHTLc0IejpL5a7mgGdKc0H+LcR/zODodL7j54dyAM/oGFWKhMV9XhJ53PoeWA2LV7PLBbD/cTx3wPipQnke4kiFXTmJgY5OfnQ6vlg9IXgYV4Y33XMRu1yRfhu721QRNY+K48mHvrCuVjc0kTrJYOWTk0f2Q2MPwwLTkDkChan/XoUpQ2dMrCRL9OF97ng7JSNSApEjFow5T6/8K5Wo/vMm/DsDRTwG/1CyJ1o6HdIpsTPPLVXll38k/f1SV3KtRNYiCYSBV8Xdm98uzqBYOfzyvAXacP8nY1srnTveRUYU/9laPrvUF+7Q4s5FTeICFWppfvr5MnhZ6VWW8XIB8693U6lxJYnDEmF0jxCboCWHa8MpfkUIPSAU7oLafc4J5dEGGuUQ6KTpe1OYJILQx0ItXri5/PkF+LScuCX8c4TwqMtU2+TqoQj+KwoShziV1fpUtYoJuQEycvvjwpgnIB6vtHgFX/Aibcht8vn4bXVQ/gs5+MhzYiCftrlJ2sYNndvm3OALn70qO7k9EdWJjdOxZaUW+jvA5sKn3QnDf1tWN+NXV0dGDKlCl+14kuUVdeeSX+/Oc/y0CDTpKoVGDcNUBkivcqT2qD+LCYlBsn04YOdwIeqLmSTpHT0X2Oxf5vgKUPyg4P4fqzYbDY/Ao3g4U4ifScNIkuR6LjiffDc+JNwOCzgSzl9Si2fMenaYEGMZQ3DNe9vAGPXjQqsFsPu/38rc04VN+ByyZmyoFOIpfcT9ZkIDpNKU5tKpVXicBCvBaCoZC/x4BIsfjmbikrXxee39Fpx0dbyuXr5pwcF2JcDrhUWvx9TRMGpgALR6Yi0HlOAEQL2ScuG4NWix1JvrVEZRuBTa9giEXsbo6F3p0K5W1DGwSy4pUTwUP1Sgc4/8BCDMhTTpZy43Q4d3QaTAeUwMIWmYaGduVkMj4y8AMLX54g0+Cb/qP3BBbt3oCj3j1pOjLQWw8fgVipv2F6LgaKNKBm5XFWu7tC7XVlwZ46FlanC4V1yvNHLEAFA9+U1+/21siMh4m5cUjz7lgoNRaiLikjWi2KMmVdpsDAog8DC1HAvXz5cu/31dXV2LVrF5566iksW7ZMTt2Oj++agEknUHw+sOgffld5VmPFaszbN/sHfMGyYyFXZLufWJmbgIpNcrpqmF4LvbvOpKTVCVOnLajeJMTqZJFsJ6u8KXpPHgbM8ztOpAT847wC4EXRalY5iQqW+8EzEbW21dp7u9mzH+v6uk45cTK7dEFRb3SkD1Hx+Mr3AM+KvdOGR7/eK3e4Jp6vg1jmaTMm4x/fFsp0iWAILDzPBRFYJEUb0WMPoqlYBhaZSRMxOnMu9HXKqv2Gik7khVmDYqU+x71jUVTnu2PhOyBP+R0nZUVh0qgRwFdXAC0VqEY8nK4DciU7MZAnLfei14Fo3qLdNswYnoBz9esxqmwDClQp6AwL/JoCX6IQ26hT6hDH58TJi/Sd8jhr3Dvbgtj5Ft3kxJqdCMqDoclHd098e0DWHD595VikZU5UBsemjPAuwv39/CHAm+JzIkiGJfYDx/xpK4q0p0+f7nfdBRdcgDvvvBPnnHMO7r77bjz33HMn4jbSURDpL+/lfoyBLWuALb8BRl8eFPebp9++Z6L24QbkiRVaMS1zofUhxBhUaHnfibs6SnDLrHwEi1STsgtT6jPD4LDTRK1K8BF0gYU7QBCDnATDYXbl7vnvdmDTOjysVXYsgqVXvcdji/fhs20VuPO0Qfjx1Bx5kWr3KX86bIiPMsjAwlpXLK9q1is7nMFwQu3pkNU1TbsX7gm8MXoXPrxhGuCqwRXPfI9VbxTjn5fFyyLNQJefGClHWIipyWKWUYrJ6E0ZNYoVe9/2mqKxwVmPyG9LDtZ556IEyzCwn725GSsP1OG0YSk9Fx307tlH1jb8+vTBwH9+C+z9BiNVt2C3cSiCgdjFHnX/1zJbYc098+RzwY+7Fk/ttCIa7bhW8yW0aw5gp+Fcef2wtG7zkQJYSX0H/vjpLtn1yS9teMiFwIgL/Q92DxbudGmD6rMyYGssxA5Fb26++Wbceuutchq3RqPBkCFDjuc2Uo8736EUYollhoh47wcMYjqAymK53RssRDGZKNYW29U/+vcqeZ0IIHqrN1GuV6FJnnOqvYXfwSIpyujNLRczHMTKnMwfr9kNNJcpO1lxed6VOaHFaQiqN0vPKnVdqzuwOExgJc6VtO6cehFYBFtBXm2rGQdr27GjohlnjvDZfdCFyc43IhUswX1S6XKnhNVplZaicYE8Wbe3HQuzXXZC6rA4cMXkLG+LVc+APDjc7TdVKtSbVXBBHTSvhwiDVhbzizaZm0oacebwFG+XJ7Fq7QksXA6rHCToWYwQHx1i8GZWnLLjEQw6rHbUt1tR02I+Yo2F/OVtXd0Dg6Vg2bNzKQKL8qYOGViI+0K0o44L1yPM/VxQOWxIVLfgl7r34Vz1NbYVzJbXjwiCAaIeos34N7urZe1MsjvA6p5C2nWwuw21e/5XsLw3BGyNxYgRynbS4Yifi7qLtrauwU10AtQfBJ6coMxu+I2yGinZlMj7/i8L0VGyDX+5UJnCG8hE7qvoACXeLD38aix8hgWGGfzfOILtDSIpWjlREiuSfjMcVj8JbH4NmPd7OQxLeO37nRBNeJscyptqMMwt8EuFcu9Y9NixeftK4MASTMy4C8tc4TiATJS7EoJux2Koe/r6rgqlCNErJhO4dbX8Mu69rfLPnVFTMWphDlZucwZNF6DuaZKvrCpGdYsFZwxP6QosvKv1XX39RdpUsKU7nD82HVOa472F3P+5fpJMh4kRcw3c98GqvZW4/qMPcdmYJNx30RRMG5CAb++c7a3HCPr3Bk+NhcsJl1h4s3VC7NM8ctkEmPOCZOK06PoWGya7YpU1dmJcNnD/p7vw2bZK/GHRUFzjGYjosCBCrXyeurRGWXvQbrFjcm7wNHbwvDeIuqsId/c8z5wXGVSKZhbRqWhst+I/X+/AT0WqcXIc/nzaCBQku58r1Dc1FuvXr+/1Z/v27cPPfvYzfPnll3LHgk4wT/qPT+cX0TXI0qkkvtSaNVAFQW/y7oOgRPGhSInyW6X22bEQOeZPGP4tVysesF3lTZUIFsnuHQsxddmPzxwLj3CXEmS2I8gCC3cqlF+7XV+iE5StA+FqGz5wzkBR4iJMzY/HQneRa7DIT1I+/IrrO/Ds9wdlJ7hLJmTi3NHpPXa4NnSk4vIJZ2LF5jViVSJoinXFc0HsTEXoNd50KL+TSfeOhdXaifMfeg/3uJ7HnVYj7sCNQbXoIPr0+xJBg9egM2Qzg9rWQVioXov7dj8NvD4PuOq/8sfB0tDAN1gcmxWLxy4e3S0VKgK4u1T+efN/NuOXZTUYohbnMZEID5JAWxDD3dYWNcgZN+eOhgwYPDtbcBcni/fISI3yenFqjHL+iWcGSrDwXTioblV2p2RGQ9kG4Pl5QEwW8Ivt8v3j9fqBWK/+DV484zRcmhl8LeoDrsZi/Hj/acCCxWLB7373OyxatKjXn9MJ0G1ugWB3urC3tBqj1cpk2ZQg2d4VFu+qllMxRfu4AUnuXNlegqy/XTQKqj1rAJUdD9su99ZnBIus+HB5kiwH/fyP50Nx1vmYVZoLm0sr31D9OqQEwaqkp0g9zbM63S3IMqhd3tqju84YjGCT7Q6Uyho7sKeyFasO1veY7SLuH+G/m8vx8AUjUOJuSRos6S+i1urgg2fJXc1hv/9SXud3MulN/bDC3FqPaYbVaIAIyIIrsDiioefKS93yQphU38urOrVRcIqV3CBoserLk+4oag3E696POIN0txoVwZTB3eQjmDqECWL34e0NpfhkawWunpLtDSxk10jTEDkwEsnD8ZuMRGCJeIkE1+/vIR5jseDQbnXIzDdvbaYhuWuuidMpFyJE6+EqZzysyaOPf7Abnbg5FkJNTY2suXjyySdhMBjw6quvHus/Tf9Lt7kFgniBhKlsQTl1+tXVxbJffUKkoWdgIXLKw+NlTrlK1J64T65F67hgWaX3GJgchTdunIytpU0Y/6fFyEuMxDuiA1gvz4ekhHgccilFjA+fHRzFicKMgYnyhGhoWrQcBNiDO8gK1zr9Ul+CTUq0UZ5Ei8LEInerUbl7I/qzPzdHvg5m3rAayVF6TO34FltXOBGpU4IR8bwJBqLo2FN37CnQNIi6gm47FmqHFWHuXvVi6rYQbDU3or5gS0mTTPnbWtYkV2zP8SlOF3UEJpXyPNlY7cJND36DB84djguCoAV191XqHi2ou9FqVDCqlOfDP78vw5jJtb0OXA1EC4YlI/Vro0yH+vGL67yvj3ARWIhW3OIiBhvv+1r+6dAYUd7QgbSYML8WrcFAnAOJwMJD7liEpQAqtfJZ2V4DXXhXL7kPNpfLHR+/HT/q+zkWIqC45JJL8Le//Q0JCXxwTsmAPBGOu989wt1vlp0uA2JFfm2Q8ARJntxZP+KN8q5Cv4LlYAyufIl6EzEgLj7C1i0VqusDNSMmzLtqfdnE4NneHZ0ZIy+H5V6ljtQ6caf2bZxdtAH1y36BsCnXdeXYBgFxEiDyqUX/+QPVbV0n1eK9oF5psxulAxbfMhzR/7oQ+O7fePfOcjy/uiJoukL5poF6Wqz67VjEFwC/3ImGTheM/3hHXiVaSor3BTFQLZjc/f52fLy1QrYRFjn1YhFGBhYdDUBHPRJd7eiE8jzZ1aiWKaXBMgyt+27mkt01ePSrvRiRYcLp7g5R0jf3A43FyLCdB6M70PxkVwOi89qCJrAQ98FbN03GuU+ulDuUnpkeoni7t05IVR3AjL8uxbXTcnDfomEIJiLQrGg2y5lH47PjlDo78bqPzQUaDgLVO6HNT8YY9X4UqMrw1oeFKDYMxPY/nN7XNz3gHfMnbVhYGJYuXepdOTKZTBg8eDCMxuAaTNYveU4kBZcTUClpLvWaRLhsDjkULZhW6z2/y5+/2IPPt1fi49v92xx7bDxYCU8Z3tXTC/y7RwURzyq8t8uFN9DsWp0ZWvk+7tSuxveNoshbmUgbEtzF/KLl8MioNuR0luPBrzcjx1iOKyYFzyR2YUhatNyp3FuttBaW6W6eZgaC04Zoc6XydWQKoiMjcceCgQgm4gRyXXGD93v/Ggs9YMqAXm9DmEpZlIgxReNXU4PrPhDEDp4ILMRuprcjlLDuWeC7hzGk4HI0u3csau1hslvOEQP0ACS6/4iFlN2VLXhi6QFcNC7DP7DY/zVQvQMJ+TNwvfXXCFeZUeZKCLpaPJEm+ep1E+WfY/74NcQsVdn4Qyw8yYnTLmwtqsIocc5gUZ4nYqU+2IjzBvF+MGtgkmzq4JU6UgksqrZBNWAeztGuxbXqz/GUfRFeDwuu4CrgAgtRlD17ttKmjPowsBBvFu46gwcS/oqNhxrl17IjSJDwrZU4XHtRoa1d+eC0QYt7zz5yx7JAdemzq7GmUDmR8gZO3hqLrh2LhOLPcLt2OSJSRmBvVWvPuowAJTpi7axoxq/eUToe/eq0Qf7zCESvfvHZEaVFak4EsFvZvQq2IWDCk5eP9XtOyNeG57ngCTSbS7u6RQWhbeXNWFd0mMDCTZxke1KhTFHRuHqKe+ZHEBmUrLy+RTcgv1k/7h08g8qOSCg/a0U4xmbHBl3qy6yBifLy92/24e/f7O/5XBBpsyLGVlmw2VUgzq971G0Fi5EZMSht6JBBhRgsKzvBFS0F/nM+kDwCf2i7C7Dcjw6L8r6YG2S7V8Jr10/qvTlB6ihg5wdApfIZEu5JIXfvZlIfBhb33HOP3Kk477zzMGHChMMO2dm+fTs++ugjFBcX4/nnnz+e20q+ucMjLvYPMLrlDYspmsHC98Uupmv7aSwGPrpddvswDf21vMoCvaf/RdDxLcL2njwMWKDUmSR3rbZoOpWTrSUlDhS0WoImsBAnThc8pbRTFURbTT8i/SV7GhCdDpQpXetkYBFEr4fuzDafDllykUG8F7uURQf3DAuYgjOw8Lw3iHQHsSPllwol2m8veQB6hxWR7l1dpzY4d9S7t8g0dgsswtQOpEe4xIsBHS6DLPINVp70nx4NK3RK04IId8qwR7CeTIr3g5/PK0BTh1VJ/fM89+1mOMLisM3Vdf8EY2Ahgor6NouszxQzPbw1ee6p26jaLv8w6RyAXanLDMYgM6ACiwULFuCFF17AGWecIdOixLTtc889F7NmzZJtaEUw8eGHH6K6uhqnnXYarrzyyhN7y0M9sLig51Rzz8nTrxYMxKgg2ub23aoWnR56DLcpXg4YYxA90uGdoGlpsyA+CFepfQNGbypU5gTl4qtDmaz7r+vmIzaIitFiu6Ut+BXrClNvVy7i1Hrrm/IU2+IK7sBCLDyL1WfZ+UVeoVV2r0QNVkuFcp2pqw1tMPEspojWusPTTf4/FGmia56Uz4GC6BtF5TbqrVq4mjplsWowSY8J83bB8W3L7ClgD1PbMWTqIny1NBwlrmRcmRO8gUWHt8Vq74FFZpgFD6cux/YaK950zAmqmSa+kqKN+KVv6qM3sLDAFN31O4tgPNheDx57qlrxi7e3oCApEovvmKVcmToaGHGR8qfLhTMGxwI7grPhS8AFFnPnzpUXu92O77//XgYSP/nJT3Do0CEkJSXJdrP/+Mc/MH/+fNZdnArWdvz+0DW4I16HQ1kfIpj4TtDuUYDrU8gelzsag8wvy1aC0z7cgaeuDJ7BRx6+J8jeHYvuREF/R738MjbRJ7c0CIjVRbE56mkhGHGEguw9pTUYIncsdEEZWBysbcOt/9kEp8uFAw+e2fUDkQ4lAgsxcbqtSrkuMrieB91Xm3vtBKTpesxv+em9+MuSy/HKyiJcsbIIv10YPJ3SBJExUJAchS3uGgtvKqwnNc5hw8HBN+PmzwfLFKFRmd2CsCBparHoXytQVNfe+2eFXgksRkR3YETjU7hEq8Ibjrmhs0rtmURvN2OMazcGatZhuzMPDfETgi4tTliyuxrXv7JBfu3XsCIiAbjAJ3vGZwp7MKWQ96XjbpOi1Wq9QYYIJETKU3Z29mFTo+gEESv1YkVS9OFWq2VHpMjWQkRChZT84DqJGJcdi8EpUXL1ocdwL58PzpgIg0yDEpdg63jS245Fqsm9AtVapUxjD48DkoYAlpaumRYiRSqIiC19cSLgGYh2pF78kRo74AAiI6OCZo6HL9FCVBRui3MCMcfGm08cly9PHmQE1lrtPji43hM8PKvNL60slrML/Ar0Rb2NaC0pdi4cVpS2Ah0wIjk6ONOhROGyJ7Dw7ux5giu7Rc4v+eO5w7C1tDkoXw/hOo2sK/DouWPhXpUXnbLcLclF2mCwpkL14JMKNc6yFrN0b+B5+5lYlxCctbKt7onbguiSdljivVLubOuQwh2LE+KE91/MyQm+wrh+6eFMwGEBfrFDKcy0KJ1hYIhWAo0gIlKaxIemDCy6t8pU+xcu/9/ZQ/HZtgpcOTm4OgB5JLqnKY/PjsUdpw1Srtz9CfD5ncowrItfVYb/CAZT14dpEBEnTZ7Awpv+47H638CKx4CRlyAhNRv15W348ZyRCEYJEQa5+iymkFc1m5HpGXz3kxVdB82+W2k/mxGcw0p9TwpFcNGj85c4sRatNe0WVDR1etOGgtG5o9OQGKmHQafBBE+qk3fhxQq9ox1XT8oEgrB4XRCDEsXOZGWzZ9Jyt/cG9xwXz26uISwCK34xp6uDVrDTdQUWEequmVdnjUhFMBKd0jzyErstNFo7lMYWujAcqmmAeNcYnJmIib5dxOiYBU9j91AjUoBEYOHpBCRWqQVDcBTpdjclPx61rZaukycPzwenWJUs24jra5/D9SMHATHTEIxk28DuMz28cyzcKzRNJcqfMcEzv8KX3K6u7+h9VVKcRLbXAuYmhF37AcQpZHDt2fifSIm8ehFYXPzMaqy6e27PneLcGcolSPmmsfSov/K0nLV3YuV7f8cVlfuRpB6H9NjgfG8Qxak9hkYmDAQm/QSIzwceHQTY2oGfbQHichGsO7oisPjZ3AGYM6jbbIp5/wfM/S02bVqHsXs+RYNVjYzY4JhC/4N2LBxW78yrvNQEnDUmOOuv8hMj5S7mgZq2nkPvlj4IrH4CmHI73oy6BsX1s3DakBlB14K5rzCwCFTdZxcEeWBx8fhMeenBtzNW3T5g65tAzgxg+i8RjESR3bC0aNlW0cvbbtYdWOTPBX6xXdbdBCPfArsehZeeHSyfYYHBzCH6SQLyZCoU009PH5aMf1w6Gj9/a0vvAxDdqUBpTZswTbNFzi0Ixg44hyV69ouLKEr6/Nd+RczBu6PbLAuXezTvcH826kR+pLt7YEgRj/vIS2StRXqTkg42bXDwTF7vTtSNfHDrVDmFfHBK1+6FX4pwZyNqTKPxpTMRo1XB0+SkrzGwCFTufv3eEyhPKpSx2wso2ImTallnogWs7snbQdpS0pPG8dnPZhwmyLR1PTeCdLdCuHRCpgysxCpUj9xZd3vNUAksrpmWi38u2Y8Rvh2R3r5Kqbk5/UFAtB0WH6J5wZlHLWpuPLnUkT7ttrs/H5J1ShpUclyMMoE31IjWu57BDe4i5mCU7N7RrWlR0qF6E6lVni+tdi3e31iGC8YF78m1H/G4n/+s/NL0ttKl0xQVnAuRHuK1Pjill9e7J7DoqEdUhPK+8c2ualwzNaerVTMdMwYWgcp7AuXuye2tsQjuN4oe9BHA79ydb9a/4N/9IlT4dMYKBWcMT/3fAbcIsp6aprxOrnxfKWwPQrfOzkekQYMzfe8TEVTU7AQqtwDf/EGZ6XHHLgSrmlYlLbDXzl/XfCILdMO//h3QtBcXTCpASLFbldbTIj3QI4h3LNJjw5ARG4bFu2vw8/kD/bsdlawBtryO9LpC+a3oFre6sD50Agtf7k5IwViDd1R8AovRzmWoV1fi+0Mj0NQxFikmBhbHi4FFoPKcPHsCC5ECYsoK2u4vR90pK8h3LHrVvcbim/uVjkDjrg3aicuH5UmFEiu01TuUr4M4RUisrt00M9//Sk9qXHtdV0OHICZ2bAS/4XgecXldNViyfjWE0qAEMV34hfnuoYnu90Y5RDE4iQD7H9/slzu7PVqoNhQBm16FLmUkrrb+Bp0uA6Z4OuuF0mek6IJk6wjNz8peAoszax7Fj/QNON3y56AaLNyXGFgEKm8bQffKw8iLlEso89wXnu4XoaJ7jcWGFwBzMzD8QoQcz33h2cETRKpcKO5megILY/DNLPAl0uKW7avF6Ufq6CJTgULwuSCK1yVPGlRwB1aifmbL70+DTtPLYoI7BUylj0DC6LOwbG8tHhkbYrsVjw1RumKd/zww804gaRhCPbAwqJRFh5/MHyYbYtDxY2ARqESBbtJgICw4Uzx+EJEvamkDYnNCcxUmcTAw7z4l5UX0aBdBheC5P0JJRKIyUTXKkxqkCr3UOO+ORW1I1F09c9U4WaApusD0sPEVoOEgUL4xNFM/PEFm95arQSyst+5gvilg1nY8dvFoOJ2u0DuR9Hw2ii5h6WMRsjyBhbkZKvdu3nnj3bubdNwYWASqM//c17eg/zj4HWBtBYYsCs3AQnxIzLhD+dpzAiUmLQdxkeZhFSxQLo3FwK4PlRPJIE6FOmJgIXLrQ2DHQqSD9RpUCNvfBYqXd30fyoHFsB8BYbEIWZ7AomqbTIlSi1a8WZMRUrzTt33alYeisBhgwo3Kn98/EprnDSdRUAQW27ZtwzPPPIPq6mqMGDECP//5zxETc/h+xP/+97/x+eef+10npoU/+eSTCFhvXaFMYD7zL0E7DOt/FuzO/DWw8PGuE6tQJPKIhSDtU3/UPKkvoXYi6ZcKVR8SNRZHdV8s/Bsw5NzQa27h+f1F6uxFLyOk+S60fPxTYPSVIRhYuN8P1z8P1O5RhqoGaWOLIxJ1RgsfVVqyewKLUPysOEkCPrBYt24dZs2ahWuuuQaLFi2SAca7776L9evXIyws7LCBSFNTE+6++27vddHRAfjhK3qTi4tQ9L0yyyLU0j58i5dVGiCy21CkUCDeHOv2K/eDJ7CIDfXAwlOcGIIfFuEJQFSaMiwwBHYsjsjzfiheG6H43uDtHmhRPitCbffOV/duWKFWi+f7etjxnnIRgVUoBhbdF6BC9bPiJAn4wOKee+7Baaedhqeeekp+f+655yIjIwMvvPACbr/99sP+vZSUFJx99tkIWKJX/e6PgbP/DmRPcwcVYUDiEIQcTycgzxyHUFO9E3hhgVJTkTM9tHcsStYC/71RTt6WNSeh2CXtR091pcWJ50ZyiBZo+p5Yi7arochbvO3uIBiKC0+HCyxCMfWl+6p8KN4HHqIeUbTk9nZL66WrHB2TgL4nzWYzli1bhvPPP997nUiBmjdvHr788ssj/t2tW7fi4osvxo033ohXX30VTqfSGSBgeFoGig8LT1596qiutKBQ4vmd1z4LfPYrpV95qLabba1Wvo5OQ0gSwWXTISAyWZndcOMShKz0ccDYq5U/Qz2w+OLXwGd3KicToUQsNonngPCnJOD9GxGyREOHX+4ERlwUuifV3QPLUE7/ee9a4D8XAAPPAM75V1/fmqAS0IFFSUkJHA6H3KHwlZmZiaIid0pIL3Q6HebOnYvzzjsPAwcOxF133SV3L1yetKJeWCwWtLS0+F36R7tZC1CxSfk6VE8gPDsWez5VckdFWlAo8Z28fenrwC92dBWyh/rgSAptviv2658LveeFSPcRJ02ia5wQyvVnYgHKlNEVUIRiKpTIbvD9bAjlHSxPI4O8OcDIi/v61gSVfre8/fe//x3ffPPNEY957rnnkJqaCqtV+ZAID/ff4hTfe37WmwcffNCvpuKMM87A6NGj8cEHH/jtfvh6+OGHcf/996P/DcizdO1YhGr7OPFhqVJ3zS4ItVUY304f4utQG4p3pGGBoWjVE0pHLJEKNvYqIH280v0kFHkWYEJg6vRR1RyF6u/f67yjELwvxOwK0Y58t5hIH+J1BZ7AorOxr29J0Ol3gcWcOXMwYMCAIx5jMinFiJ7OTw0N/tvb9fX1R+wK1b1QW3SSEl2hNm7ceNjAQtRy3HGHu6UnIHcsxM5In59MipPpqu2hHVj8ZLWSH/n8fKBsfQgGFkb/D8xQ5lmRbSlTng+5s4B5/4eQ0lyqvA6wXgkwrvsayJqEkCTaMIs2q6+46+lC7b1BECeSjYeUr0OxBbWvb/6gtCAO1eeCYDOH7oyf3gKLTa8AebOB7Cl9fYuCRr8LLEaNGiUvRyM9PR3x8fGyXmLhwoXe67ds2YIxY8Yc9X9TpECJLlEiRepwDAaDvPS7lI+2GmUrT5xMhGonIE/RVai2GPX8viKw+O9NSi7x/D+EZgcY37794uTalBm6uzYeodwVSqS+uAdgyZTJUEwFenwEYGkOmQF5R7TpNeXPWb9RPjdDkXdnPzw0PyO6BxatlcDi/wNuOHKmDIVIjYVKpcJVV12F559/Xu5SCIsXL8amTZtw9dXugjUA//rXv3DbbbfJr202m+wY5VtP8dBDD6G5uVl2lAoY+oiuP694B7h1dWi/SfgGFqG2vetbhLjtbWDL66H7XOh+Uh2K6Q7dpy0H+eTt/8m74BCCzwXBN5gK9R0Lz+9fcFpods776rfAE+OAlBHAhS8ipPkOiwzFQv5Q2rH4oR544AG5YzFo0CBZiL1582b88Y9/xMyZM73HiJ+vWaN0CtJoNNiwYQPuu+8+FBQUoLS0FK2trXjttdd+0C5HnxNTQwfMBxIG9fUt6Xvf/VlJB2s4GJpFeeKEafodwKFVQOkapSNSqBK7N/EFQP3+0Hwu9BZYhPKAvNJ1wMp/hPZJtW+6S6jt5nbnCS7F7J9Q5HlvyJ4ODDoDIc3oky4f6q+LEyzgA4vIyEh8++23cuidmLw9bNgwpKX5t9r82c9+5t3BUKvVcubFn/70J+zYsQOxsbEyIDEaA+wEZMSFysXcx92p+gNxQl20rOv7UFuZFN1O5t8HbHnDHVgkIWSJNrs/3QB8/Ttg1b9C8wPDd4VaDI307G6GotK1Src4IRSfC77PB4NJmXUTyjyfDeK9Uqzah9pwOM9rwFPMH8oSCrq+DuV00ZMg4AMLj5EjR/6gn4naDDGxO+A9OUlpM/rjT4CkEByO55v+IuoKhp4LRPu3Hw4Zbe4ZFpEhOBSuu1BOf/HdsRBpUKGaFufbFSprCnDB8wjp+0C0os6dgZDmeT/Y9hYw+ZbQCyz0kV0Fy8POA/LnImQlDgJm/ApY/jcgLMSeBydZQNdYhDzRJq21AmivVVpLhirPVr/ImYzL8+9dHyoaioCD3ypfRyb29a3pP51PQjF31neHIpTToHxX68V7gyzkDkGc7dLFNx0uFBcdDFFdXy9/rC9vSf/gaTXrW29Bxy1odixCjqgpeHq68rUpK7QLND0nj942eiHo5bOVFqtCKNdYiOfAc3OAml1KGpDvB2momHA9MPhsYP9XPestQo3vjJdQ5VloCbXhgL3xTYcLxdQ43/fDUAysuhu0UGnFzMDihOKORTC8QYgtvVDm+YD48jfA4t+L/sEI6QLNiBCusVBrlKBC+PUBYOKNCElRycDYq4FRlyKkeQKrg0uUvPpQJDogCW9eClTtQEg77cGur0Ox9a7BnQoVqoFVd5teBkrWhHZK2EnAwCJQiV0Kj+RhCGm+J9VrngrNnHLPh8Q5/wrtbh++7WadITx9m3q+N+z/OjTvldl3K4XbQigPRPP7/VWhOY0+yqexTSg3dfC4+DXg7kNA4sC+viVBhYFFIA+FO/1hYOCZwNSfIaT5zq0ItRkW3XPpRXFeKKb/eIigMtRzyusOAI8PBx5KB+rdLZhDladwOZRTP5wOwOLuHhjq3W/a65Q/ReqL2N0MNclDgak/Vb5m+o/78yIEh2aeZAwsAtmUW4HL3wIi4hHS5v0euH5xaG/vRiT4f3CGMs8J5AunA7V7EXJEQNVcCljbgLXPIKRlTgCyp4V2IXtnEwB3emion0yKZidCZwNCVrsyTBjhIX7eQCcNAwsKfGIImqc4M1SL2B025c/F/9fXt6TveU4gRTF7KBbt+uZRh/rJgziR9vSrD8XUF+Fj9wq1EOqrs2J4ZspI4NwnEbJUaqWxRah+VtJJx65QFBwsrcqfoZoGNGAesO8LIHVUX9+S/nViHYrPB9+V+VDfzfSu2Ifwaj3bT3eJzQZuWY6QJgaqil3dvDl9fUsoSDGwoMBXtBx467LQPZEUxl2jpIHlz+vrW9L3xEwXT2eoUHw+iDz6mGygqQTImoqQJuoLdn0Y2mmSM+9SWmqOvKSvbwn1B2c+ogyTDdVAm046BhYU+BqLu74OxRNJT4rDmCv7+lb0D2LC8l+y/SfNhlpB4jWfAR31SrFmKBNpH6L9cnsNkDEBIcmUDlztDq6IxFyTUBwiS6cMAwsKngF5pkz/PuUUmsQkekEfpdTfhKKYTOUS6kSQddN3QGsVkDSkr28NEVHQY2BBgU/v7gIUmaTk0FJoaylX/oxK6etbQv1lxV5ciIjopGNXKAp84Wy1Sj6sHaE7z4SIiKgPMbCg4Jnh0HQIqNvf17eG+lrONGD6L4Ar3+/rW0JERBRSGFhQ4ItM7vq6uawvbwn1l65Is+9mWhwREdEpxhoLCo65Bac/pHSHypnR17eGiIiIKCQxsKDgMOW2vr4FRERERCGNqVBERERERHTcGFgQEREREdFxY2BBRERERETHjYEFEREREREdNxZvHyOXyyX/bGlpOf5HgYiIiIioH/Kc63rOfY+EgcUxam1tlX9mZmYe6z9BRERERBQw574mk+mIx6hcRxN+UA9OpxMVFRWIioqCSqU65ZGjCGhKS0sRHR3NRyfE8PEPbXz8Qxcf+9DGxz90tfTxeZ8IFURQkZaWBrX6yFUU3LE4RuKOzcjIQF8STy4GFqGLj39o4+MfuvjYhzY+/qErug/P+/7XToUHi7eJiIiIiOi4MbAgIiIiIqLjxsAiABkMBtx3333yTwo9fPxDGx//0MXHPrTx8Q9dhgA672PxNhERERERHTfuWBARERER0XFjYEFERERERMeNgQURERERER03BhZERERERHTcGFgQEREREdFxY2BBRERERETHjYEFEREREREdNwYWRERERER03BhYEBERERHRcWNgQUREREREx42BBRERERERHTcGFkREREREdNy0x/9PhCan04mKigpERUVBpVL19c0hIiIiIjrhXC4XWltbkZaWBrX6yHsSDCyOkQgqMjMzj/WvExEREREFjNLSUmRkZBzxGAYWx0jsVHju5Ojo6GP9Z4iIiIiI+q2Wlha5mO459z0SBhbHyJP+JIIKBhZEREREFMyOJvWfxdtERERERHTcGFgQEREREdFxY2BBRERERETHjYEFEREREVE/tb+6Fe9sKJVtX/s7Fm8TEREREfUhh9OF/TWtsNldSIwyIDZCh+X76vDM9wexvrhRHjMlLx6ZceH9+nFiYEFERERE1AeK6trx+fZKvLG2BOVNnb0eo9OoMCEnDm0WO/o7BhZERERERKdIh9WOd9aX4s11pdhb3eq9PtKgRYRBg7o2q9zBiAnX4ZIJmbhuWi6So40B8fgwsCAiIiIiOsGqms14aVUR1hU1QK1SITHSgHC9Bkv31qCxw6aciKtVmJIfj7NHpuLc0ekw6jQyqGjutCE2XHdUsyP6EwYWREREREQnQE2LGR9vrcDiXdXYcKhRBgm9yY4Pxw3Tc7FoVBpiwvV+P9OoVYiL8L8uUDCwICIiIiL6AfZWtWJbWZPcYRBpSmoV8N7GMvx3UzmsDqf3uIk5cbhichb0GjVqWi1yJ2JoajRmD0qEVhN8zVkZWBARERER/Q81rWYs2V2Dj7dUYHVh/WGPG5MVg3NGpWH+kOR+38XpRGNgQURERETUCzE7YvXBejy17CBWHKiDZ5SESFealBsHu8OF6lYzzDYHxmXH4tppubKDU6gKuMBi3759ePbZZ7Fnzx48/PDDGDFihN/P//3vf+Pzzz/3uy47OxtPPvmk33Xbtm3DM888g+rqavlv/PznP0dMTMwp+R2IiIiIqP8QgYHYiXhldTEO1LQhyqiVKU4dVodsCesxKsOEBUOTcd6YdGTEhtZuRNAFFiKQePnll3Heeefhs88+w5133tnjGBEwNDU14e677/ZeFx0d7XfMunXrMGvWLFxzzTVYtGiRDDDeffddrF+/HmFhYafkdyEiIiKivmO1O/Hptgp8tq0SKw/WwWzrqo2wtFll21fBqFPj4vGZuGF6HrLiGUwcicoVCPPB3SoqKpCamory8nJkZmZi6dKlmD17tt8xt9xyC+rq6vDee+8d9t+ZN28eIiMj8dFHH8nvRSCSkZGBP//5z7j99tuP6ra0tLTAZDKhubm5R+BCRERERP1DY7sVH20pR1ljJ2Ij9EiJNqKyuROvry1BZbPZe1x6TBh+PDUbpw1NkcPoqlvMEN1ex2XFwRSuQ6hq+QHnvAG1Y5GWlnZUx23duhUXX3yxvBNmzJiBK6+8Emq1UnlvNpuxbNkyvPDCC97jRQqUCDa+/PLLow4siIiIiKh/ajXb8P2+Onyzuxpf7Kj0243wlRhlwBWTsnD6sBQMTonymxsxPN10Cm9xcAiowOJo6HQ6zJ07V6Y6iZ2Nu+66C2+99ZZMnRJPlpKSEjgcDrlD4cuzA3I4FotFXnyjNyIiIiLq2wCisd2GpGiDbP1a2tCBF1YU4a31JX7BxLC0aEzJi0dDh1XuRITrtThtaDLOGZ0Gg1bDh/AECbrA4sEHH/TbpjnjjDMwevRofPDBBzj//PNhtSr5cuHh/jly4nvPzw5X33H//fefxFtORERERP+L3eHExkONeHlVMb7aWQXPDDpRcN1qtnuPy02IkMGDKLYWHZsCbYp1IAq6wKJ77pfo+CS6Qm3cuFEGFp7OTw0NDX7H1dfXH7Er1D333IM77rjDb8dC7HIQERER0cm3uaQRr6wqxtK9tXLQnIdeq5aF2J6gYkZBAm6emY9pA+IZTJxiQRdYdCdq00VxtkiREtLT0xEfHy/rMBYuXOg9bsuWLRgzZsxh/x2DwSAvRERERHTydiO+3FmFL3ZUocNily1f4yL0WFfUgA2HGr3HmcJ0OH1YMm6YkYeCpEgZaNS1WRAXYZDHU98IqsDCZrPh1VdfxXXXXeeNUB966CFZxX7uuefK78X1V111FZ5//nncfPPNMshYvHgxNm3ahMcff7yPfwMiIiKi0Asmlh+ow7e7a7BkdzUqfDo1+dJpVDh3dDounZCJ0Zkx0GqUxjxCTLheXqhvBVRgsWTJEnnyLzo7edKTRGBw+eWXy4tGo8GGDRtw3333oaCgAKWlpWhtbcVrr73mtxvxwAMPyB2LQYMGYeDAgdi8eTP++Mc/YubMmX342xEREREFL9HCdWtpE+xOF5KjDYgy6vDNrmo8v6IQpQ2d3uNiw3W4bGIWsuLCUdViRn2bFZlxYTKoEDsY1H8F1ByLsrIymbLUnQgOxMW3XmLHjh2IjY2V1xuNvT8JxTA9MXl72LBhR93K1oNzLIiIiIiOzOF0yULrz7dX4v2NZWi1dBVX+xLBxJkjUjFvcBKmDUiQHZ6of/gh57wBFVj0JwwsiIiIiHpX02LGCyuL8N6GMtS3W/2G0EUatKhpNcu6iIKkKFw5OQsXjstEmJ7BRH8UtAPyiIiIiKh/EGvTm0ub8OqqYmwqaYJWo5JTrXUaNVYfrIfVocyRiDZqMX9IMhaNTsOsgkSo1Srv32cL2ODCwIKIiIiIjtqO8mb8d1O5nCFR3tRVGyEU1rZ7vxazI26emYc5g5NksNEdg4rgw8CCiIiIiPw4nS7ZqWlPZQvC9RokRhllvcSb60qw4kCd9zjxszOGp+DCsRmASqRAWWSRtujaNDzdxHs1xDCwICIiIiKZmrSnqlV2avpgS7nf7oMvjVqFs0akYtHIVMwcmMhCa/JiYEFEREQUYgFEh9UhdxtEOpLF7sDHWyrw7PeF2F/T5j1O1EbMHpQkf17dYoHN4cTkvHhcOy0HGbHhffo7UP/EwIKIiIgoBJQ2dODdjWV4Y22JnFKt16iRGGWQqUuiQ5Ng0KoxoyBBFlsvHJkqZ00QHS0GFkRERERBqrHdiv+sOYTPtlfKNCdfomuTp/haDKy7dlouLp+UhWgGE3SMGFgQERERBbj91a14f1O5nA8RF65HismI4vp2vL+xHJ02h7c2YmJOHK6cnI2ZAxPQYrajqtksdy4Gp0b12rmJ6IdgYEFEREQUoKlN3+yulpeVB+oPe9ywtGhcMzVHpjfFRui914s0JzGwjuhEYWBBRERE1I8LrYvrO9DSaUNStAEJkQZsLW3Cc8sL8fWuarhcXccuGJqMMVkxaGizorLFDFOYDmcNT8W0AfGcGUGnBAMLIiIion6mvs2CJXtq8MqqYuysaDnscZNy4+ROhAgqchIiTultJOqOgQURERFRP2B3OPHFjiq8uroYGw41encjRA1EXIRednKyO10w6tQ4Z1QabpyRh4LkqL6+2UReDCyIiIiITiHR3vWtdSVYvKsaFrsTaTFG2Ylp5cE6lDYoXZqEoanROGtECi6flC0DCzH5urHDipgwHbQstKZ+iIEFERER0SkIJj7fVolv99RgxYE6+b3HltKu42LDdbh6Sg4unpDZo7BadHUSNRZE/RUDCyIiIqITpKKpE+uKGqBSASnRRoTrtfh8RyVeX3NItnf1yEuMwI+n5Mj5EZXNZjR12OR1pw1NQZhew8eDAhIDCyIiIqLj0G6xy12Iz7ZVykF0ImWpN3kJEThndBpmD0rCyHQT1GoV73cKKgwsiIiIiI7BjvJmPPt9Ib7cUSWnWHuMyoyBUatGdYtZpjwNSY2WQ+kWDElmMEFBjYEFERER0WFY7A4s3VODl1cVY1tZM4w6DZKiDHIuxO7Krjaw2fHhmDMoCReOy8DwdBPvTwpJDCyIiIiIfDidLllk/cGWcny3pwbtVof3Zx1WBxrard5i6rNHpsq2r2K6tQg2iEIZAwsiIiIK2doIURdxoLYNUQYtkqONaLfa8cbaEuyvafMeJwqsLxibgR+NSYfN4UJNqxlmmxOjM2OQYjL26e9A1J8wsCAiIqKQYbY5sPJAnRxE9/XOKr9OTb5EoHHpxEwsHJnWo9B6KKJP4S0mChwMLIiIiCgoA4jaVgtM4ToZJDR22GSdhJhqLVq7euSI2ojBSXL3QrR9VatUmFGQIOdIiKF1RHT0GFgQERFR0NRGbC5twpvrSvDRlnKZtiSE6TSya5OnDayYL3HG8BScPiwFE3PjZK0EER0/BhZEREQU0A7UtOGllUX4amc16tos3uv1GrUMKDptSvH1iHQTbpmVL4MKBhNEJx4DCyIiIur3XC4Xlu+vw0dbKtDQbkFCpAEJUQbsq2rFt3tr4HLPpBNpTyK16dppObK4WgQV1S0WGHVquVPBzk1EJw8DCyIiIuq3wcSGQ434ShRa76pGSUPHYY9dMDQZV03OxuS8eOi1au/14XotchN4ukN0KvCVRkRERH0+hG5rabPcXUiMNCAuQo91xQ14ZtlB7KzoGkIXrtfgonEZcpK1SHmqabXIY88emYYBSZF9+jsQEQMLIiIi6qPdiIO1bbIu4pVVxTJI6I0ovFYKrZMxc2Ci3IEgov6Jr04iIiI6Zdosdry1rgSvrTmEQ/VdqU0JkXpZNyF2IurarEiPCcNF4zNw9ZQcuStBRP0fAwsiIiI64UrqO/DiyiIs318L0eU1KcqA6DAd1hysR6vF7u3aNCU/HmePTMW5o9O9tRGiLSy7NhEFHgYWREREdEKUNnTg/U1l+GZ3NXaUd9VGCEV17d6v8xIjcPPMPFkbEWHoeSrCoIIoMDGwICIioh9kW1kT1hU1yB0G0cJVp1Hjg83l+Gx7pXcInUoFTB+QIDs1mcJ0qGoxy4nXA5OjMCk3DmoOpSMKOgwsiIiI6H8qb+rEd3tr5BwJEVQcjggmzhmdhrmDk2TNBBGFDgYWRERE5GW2OWTtg9hRcDpdWLq3Bs9+X4i1PsGETqPCrIFJEJsO1S1m2SZ2VEYMfjw1B8PTTbw3iUJUQAYWhw4dwv79+zFu3DjExsb2eoz4eXV1NQYPHoyEhIRjPoaIiCjYNXfa8PGWcry0shiFde3QqlVIjjbC5nB628CKIGJMVizmDErEheMykWIy9vXNJqJ+JqACizVr1uBPf/oTNm7ciKqqKixduhSzZ8/2O6ajowMXXnghVq5ciby8POzZswcPPPAA7rzzzh90DBERUTDrtDrw3qYyfLq1Qk639tRGCHanS6Y+CVFGLS6bmIVrp+Ug1RTWh7eYiPq7gAosDh48iJtvvhmjRo1CdnZ2r8fcd9992Llzp9yNSEpKwueff46FCxdi6tSp8nK0xxAREQWDqmYz3ttYiqK6DsSE62Tb14YOK95ZX4rGDpv3uIKkSFw5ORuLRqXJSdiVzWaZCjU0LZpD6Ygo+AKLK664Qv5ZVlZ22GNeeeUV/PSnP5UBg3DWWWdh9OjRePnll71Bw9EcQ0REFKjEkLnFu6rx1c4qrDxQB5ujazfCV1ZcOK6eko3ThqYgKz7c72fcnSCioA4s/pfy8nLU1tZi7NixfteL77ds2XLUx/TGYrHIi0dLi39/biIiolOtsrkTNS0WOZla1EQU17fjheVF+O/mMr9gYmJOHGYNSpS1FKLYWqtWy65NZwxP4cwIIjphgiqwaGxslH/GxcX5XR8fH+/92dEc05uHH34Y999//0m41UREREdPBAdL99Tg7fWlWF1Yf9jjRqSbZOBw+rBkDEiK4l1MRCddUAUWer1e/tnZqRSc+RZre352NMf05p577sEdd9zht2ORmZl5Qm8/ERFRb1wuF77fX4eXVxZhhU9qk5hQnRCpR2O7DVaHU34vdiJumZWHcdn+C2hERCdbUAUW4kRfrVb3qMEQ3+fk5Bz1Mb0xGAzyQkREdLKIoun/birHFzuq0NJpk0FDfIQB28qbsbuyxa/QWuxGiG5NaTFhMvAQhdjheg2MOg0fICLqE0EVWISFhWHGjBn48MMPcfXVV8vrWltbsWTJEtmm9miPISIiOlWsdie+3lUli61FilOL2d7rcWE6DS6dmIkrJmX1SG1SqVSyzoKIqC8FVGBRWVkp28TW1dXJ78U8C7vdLmdRiIvw0EMPYc6cOfjlL3+JKVOm4Mknn0R6ejpuuOEG779zNMcQERGdSA3tVqwprJeBhGj5agrXYcX+Ory4sgjVLV3NQVKijbhmWg5yEyJkdydRnC0Ks88cnoJYBg9E1I+pXGL/9CSzWq1yZkR0dDQyMjLkysqx+Prrr/HXv/61x/Vi58Gz+yBs2LAB//73v+VU7REjRsjBd90nax/NMUciaixMJhOam5vl70VERNSd2ebA6oP1+GJHJT7aUgGL3dnrnZQcbcB5Y9Jx2tBkjM6MZacmIuo3fsg570kPLMTuwuTJk+VwOyEqKgojR46UQ+7E7Ii5c+ciPz8fgYaBBRERHU5ZYwee+74Q720sQ7vV4b1+UHKUTFmqaTXLHQyxK3HphCycOyYNBi1rI4gosM95T1oqlAgkjEYjvvnmG7lDIXYIxI3ZvXu3nBchLl988YXcyehtF4KIiKg/E+ty64sb8dzyQqwraoBaBSRFGRGm12BbWROcrq7diAVDk3H2yDRMyo075l17IqL+7qQFFh988AGqqqowdOhQzJ8/H+PGjZPXFxQU4JxzzvEe53T2vi1MRETUH20qacS7G8pkoXVVi9nvZ6Izk8eMggTcMisfU/LioRZRBxFRkDspgYXZbJYrOcJZZ52FF198UX7f2yqNaP1KRETUn9gdTnyzuxpby5ph1GqQajLK60Vq07riBr9OTeeOTsMVk7Kh16rlVOsWsw1DU6ORlxjZh78BEVGQBBZPPPEEfvOb38hOTWJHIiYmBtdffz3+8pe/IDEx8WT8J4mIiI6Lw+nC5pJGLN5djc+2VaKs0X+QqodOo8I5o9KxaFQqJufF+82NGJTCCddEFLpOSmAhOjTt27dP1lXs2bNH1lOIVrGvvvqqLNwWRduey5gxY2RBNxER0algczjlzoIpTIcoow4dVjve31iGZ5cXorShK5gQRdaixavd4UJlixk2uxPjc2Ll7kSKeweDiIhOQVcoEUjU1tbKQEKoqanxFm17LiL4+MUvfoFHH30UgYZdoYiIAktJfQfeWl+C/6w55B1CF6HXwO50edvARhm1mDs4CfOGJGPBkGRZiE1EFMpa+kO7WTHNOjIy8ojdLzo7O+WNTU5ORqBhYEFE1P+Jtq6vrjqEz7dXorCu3Xu9Vq2SAYVHVlw4rp+ei4vHZzKYICLqb+1mn332Wfztb3/DwoULcfbZZ8vOUBEREX7HhIWFyQsREdHx2F7WjHc2lKK8qRMxYTqkxhhR0WTGZ9sr5aRrTzAxMTcOP56ag/lDktFpc8iUKI1KJQMLdm4iIjo+J23Hwm63Y/ny5fj000/lpaSkBLNnz5ZBhrhkZ2cjkHHHgoiob+2rbsUX26uweHcVdpS3HPa4sVkxuHZaLmYNSkS0UXdKbyMRUaDrF6lQ3R04cACffPKJDDJEwDFo0CBvkDFlypSAazvLwIKI6ORzOl3YUdGM+nYrEiMNSIg0yIBCDKVbvr/Oe5xGrcKikamYlBePxg4rqprNCNdr5WC6cdmxfKiIiIIpsOh+A7/66isZZIjp26IlrZi+fd111yFQMLAgIjq5hdZf7azCm+tLUFjbVRvhS8ycE4XWpw1NwdwhSTLoICKiIKyxOJLi4mLEx8fjlVdekUHF2rVrYbVa++KmEBFRPyFqIT7cUo6XVhZjd2VXapPo3JQVH4G6Nou8xIbr5e7EDTPykBkX3qe3mYiI+jiw2LRpE7777jvMnTtXpkCJTRPRjpaIiIKfSFN6Y+0hLN5dI2dIiBQnMTNiS2kTalot3tSmSblxOGN4Cs4fm4FIg9Y7xE7sVByp4yAREYVAYPHOO+/Iidw6nQ5GoxFvvvmmDC7Wr1+PnTt34qKLLjqVN4eIiE4RsdPw301l+HJHFTaVNPn97FB9h/fr5GiDbPt60bhMxEboe/w7IuAgIqL+6ZTXWJjNZjz55JP46KOPMGnSJCxduhQVFRV44YUXcOaZZyJQsMaCiKinAzWtWHWwXhZdJ0QZ5GTrJbur8fb6Uu8QOmFCTiyunJyNVFMYalstqG01y7SmGQWJ0GsDq5kHEVEwa+nvxduCzWaTOxeBioEFEVHXbsS3u2vkzIhl+2oPe7eMzDDhwnEZOH1YCpKjjbz7iIgCQL8p3r7ttttw7rnn4rTTTvNe19jYiNLSUgwePPhk/qeJiOgEs9gd0KrV3nSkjYca8PSyQnyzuxqeJSpR+iB2HaIMWjn1uqHdioHJUbhqSjam5MWzNoKIKIidtMBi3759+OCDD/Doo496r1u1apUMMtrb25GSkiJ/Pnny5JN1E4iI6Di1mm1YvKtadmraXt4sC6dFW1eRrlTW2Ok9bnh6NBYMScGiUanIS4zk/U5EFIJOWmCxZs0azJo1C2FhYd7r7r//fuTl5eHee++VNRZXXHEF9u7dC622T5pTERFRL+wOJz7fUSWLrVcdqIfV0VUb4XTB27lJr1HjvDFpuGlmHgYkRfG+JCIKcdqTWUPhm4fV0dEhC7XfffddmR516aWXYuzYsXJA3qJFi07WzSAiosNoMdvw3oYy7KlqkVOqU0xG2OxOvLuxDCUNXZ2achMicP6YdFw0PlOmOtW0WNButWNwShRiwnt2biIiotB00gILUUPx2GOPyRkVot/4smXL5DA80V7WQ6RF7dmzh4EFEdEp0m6xywLrb/fU4KsdVWi12Hs9LjZch6um5OCcUanIT4z0q41g4TUREZ3SwGLq1KnQ6/X48Y9/jIsvvhgPP/wwZs6ciaioru1y0RWqs7MrR5eIiE6MxnYrShs7EBOmR1K0QRZRv7KqGG+sLfELJgqSIrFwZCrMNieqmjvhcAGT8+LwozHpcheDiIjoaJ20Tw2xuvWf//xHpj299tprMsj47LPP/I7Ztm0bLr/88pN1E4iIQorV7sS6oga8vaEUn22rkPUQvcmOD8eCIcmYOyQJk3PjoebQOSIiOgFO+hwLkf60a9cuJCYmIjk52Xt9UVERJk6ciMLCQr9djEDBORZE1F/srGjG88uL8M2uar/diMQoA1o6bd7BdBNz43DzzDzMGZTEYIKIiAJrjoWgVqsxfPjwHteLHYy33norIIMKIqJTTUyy/m5fjZxgXdViQVKUQV4Ka9uxurDee5xoBTt/SJKcGzEszSTr3Jo7bXL2hJiCTUREdLL0WQJtenq6vBAR0eGDiZUH6+QciaV7a1Da0HtNmshkOntkGn48NQdjMmP8diNEWio7NxER0anAyjwion7QqWlNYT1azXbER+qRFGXEltJGvLCiCPuq27zHRRq0uHRCJsbnxKG2zYLaVgtMYTqcNjQZmXHhffo7EBERMbAgIuoDDqdLBg9f7ayW6U0iXak3IpgQ06xnD0rC9AEJiDDwbZuIiPonfkIREZ1C9W0WvLr6EF5fW4K6NmWCtZARG4asuHC5CyEmW6eajLLl62WTshDN2ggiIgoADCyIiE4wUTC9s6JFzo1YurcWVrsDSdFGxITpsKOiWc6MEKKMWtmh6awRKVgwNEUWWBMREQUqBhZERCfIgZpWvLWuFF/vqkZJQ4ffz1rMXbUSIzNMuGlmHk4bmgK9Vs37n4iIggIDCyKiH7gbsfJAPdYV1cuOS8nRRoTrNfhseyW+2V0Nz2Qgg1aN+UOSccXkLCRGGmR6U327FXkJERiWFi3/LhERUTBhYEFEdBTBxK7KFny1o0oGEAdr2w977IKhybhgbAZmDkxAuL7rLbYgmTN7iIgouDGwICLymRshdhbEbkNMuE52bhKBxFPfHcSeqlbv/SR2KM4akQqdRo2aFrNsEzs0LRpXTs7CgCQGEEREFJoYWBBRyCtv6sSHm8vx8qpi2ZVJ0GvU0GpU6LA65Pci2Jg9KBFnDE/BvCHJ7NREREQU7IHFAw88gLffftvvuoKCAnzwwQd+13355Zf417/+herqaowYMQL33XcfcnJyTvGtJaK+0mq24c11Jfhwc4VMc/IQjZmcLsDqcELEFHERelwzNQdXT8nmBGsiIqJQCizKy8uRlpaGxx57zHud0WjsEVQsWrRIBiFTpkzB3//+d0yfPh07duxATExMH9xqIjpZDtW34411JThY04Yoow5J0QZ0WBz4cEu5TGHyBBPjsmNx6YQsLBqVBhdccufCbHMgJz4CWg07NxEREYVcYCFER0dj+PDhh/252J249NJLcffdd8vvJ0+ejJSUFDz99NPe64gocJU1duDLHVX4emc11h9q8HZq6i4/MQI3zMjD6cNS5M6Er4zY8FNzY4mIiIJEUAYWq1evxsSJE2EymTBjxgzceeedCA9XThLa2tqwfv16/OIXv/AebzAYMH/+fCxdupSBBVEAdWo6UNMm6yNiw/VIMRlR0dSJl1YW49NtFTKdyWPWwETZrandYkdlsxmi0+uMggTMHpgENYfSERERnRDaYNytuP322zFr1iyZFiV2Jz766COsWbMGOp1OXidOSFJTU/3+nvh+586dh/13LRaLvHi0tHTlZBPRqdPYbsV3+2rw2upD2FTSdNjjJuXG4czhKVgwLAXpMWF8iIiIiE6yoAssHnroIWi1Xb+W2LkYMGCALOi+8sorYbcrOdV6vX/ag9i1sNlsh/13H374Ydx///0n8ZYT0ZHawC7dW4PnlxdhbVG9dzdCdG7KS4xAU4cNNa1mhOk0mD80GTfOyMPwdBPvUCIiolMo6AIL36BCyM7OlhdRmC3Ex8fLP+vr6/2OE98nJCQc9t+95557cMcdd/jtWGRmZp7gW08U2jqsdry7oUwWVte3WZEYZUBytAF7KltRWNc1lG5wShROG5qMK6dkIylKac5gdzihVqmY2kRERNRHgi6w6E7sQtTU1MgUKUEUaYuuUWvXrpWdoXzrMubNm3fYf0fsaIgLEZ1YnVYHPt5ajsW7qrF8fx0sdqf3ZyUNHd6vIw1aXDEpC1dOzkZmXM/CanZuIiIi6ltBFVhYrVbZQvauu+5CVFSUrIkQRdri+osuush73M0334x///vfuO6665CXl4dXX30V+/btw5tvvtmnt58omIlUpW9316Dd6kCqySgnW68tbMBraw6hod3qPS4nPhzXTsuVk6xFy9eqZrPcuZgzOEkGF0RERNQ/BdWntCjOjoyMRH5+PiIiIuROhaiv+Oqrr+SQPI97770XxcXFGDx4sEx/6ujowIsvvojRo0f36e0nCjaiC9Oqg/X4emcVPtpaAavPboSvzLgwXDwuU9ZHiDQnlWjbRERERAFF5RItkoKM+JVKSkoQGxvrTYHqTWNjI+rq6pCVlfWD05xEjYVoZ9vc3HzE/wZRKLA5nFD5pCMdrG3D88sL8f6mcr9gYmSGCZmx4ahqMctdiozYMFw0PhNnDU9hKhMREVE/9EPOeYNqx8JDrHaKgu3/RQQe4kJEP5wIGFYeqMPzKwplSpPD5UJ8hAHRYVoU1nYVWmfFhWP2oEScMyoN43PieFcTEREFqaAMLIjo5O0GitSmN9eVYNneWrRalPbNHnVtFnkRmUzzBifjppl5mJATy9QmIiKiEMDAgoh6sNgd+HRrJTYcaoReo0JStFHOjPhoazl2lHcNh0yI1OOcUem4akq2LKyubjHLmRIDkiLlJGwiIiIKHQwsiMhbJ7GmsB5L99Tis+0VqG7pmjTvy6hT4+LxmTh3dDrGZMb4zY0Q3ZuIiIgoNDGwIArBIXTFdcp8iCijVqYtfbmjCi+uKEJFs9l7nBhM96MxGRBxgwgyxN8blRkjg4q4CP/J9UREREQMLIhCRGlDB15dXYy31pX2qI3wiI/QY8HQZMwelIQ5gxNh0GpO+e0kIiKiwMTAgiiIHapvx0sri7HiQB0O1LR5r482aqHXatBmscFsc8rZEddMzcF5Y9Jh1DGYICIioh+OgQVREHRqWlfUIDs1HWrogClMh6QoAxo7bFiyuxpO96QakfI0fUACrpuWi1kDE721EQ6nCxqfOgkiIiKiY8HAgihAbSltwufbK/HNrmoU1nXNjehOzJC4fGIWxmbHIiGyZ3E1gwoiIiI6ERhYEPVjdodT7kZUt5oRF2GQOxEiven55UWyFayHXqvGBWMzMLMgAa1mu5xsrdWoMGdQEoakcjI8ERERnXwMLIj6YWqT2IEQaUyvrj6EssbOXo8TcyXOGJ6C04elYObABEQZdaf8thIRERF5MLAg6ic6rQ68t6kML60sQmFtV2pTbLhO7jo0tFvlALroMB3OHJ6Ka6flIDmaQ+iIiIiof2BgQXSKVTWb8eLKIny2rRItZpscKidqH/ZVt8qp1Z7diEl5cThtWAouHJuBMD07NREREVH/xsCC6BQQOw1vry/FN7ursa2s2e9noibCs0ORERuG66fn4qLxmYg08OVJREREgYNnLkQn0I7yZizdUwOrw4mkaKNs/bp8Xy0+3FIOm8Pd9xXAxNw43DgjD7kJ4ahptaC21YKUaCPG58SxSxMREREFJAYWRCdgorXYifhiR5Xs4HQ4E3JiceG4DMwZnISkqK7aiAFJUXwMiIiIKOAxsCA6yk5N9e1WqFUqWUwtrDxQj2e+P4jl++v8ZkLMH5IkaybELoQouM5JiMDlk7IwNiuW9zUREREFLQYWREfQarbhyx1VeGFFEfZUtcrrDFo1jDoNmjuVQmsxtHpCThwWDE3GmSNSkR4TxvuUiIiIQg4DC6JurHYnPt5agfc2lmJDcSPszq7aCMFid8pLmE6Di8dn4IYZeciMC+f9SERERCGNgQWFrLo2C95cW4IdFc0waDVINSl1D6LQurrF4j0uNyECF4/PxOUTs2DQqVHTYkG71S6vFzsXRERERMTAgkJMY7sVX++qwuJd1fh+f53cnehNUpQB10zLwcIRqciOj/D7WVY8dyeIiIiIuuOOBQWl8qZOHKxpk1OqRZDQbrHj9bUlcpZEp83hPW5UhgnnjUmH3eFCZbMZVocD47PjcOaIFLmLQURERERHh4EFBY1OqwOrC+vw5rpSuSNxOINTouROxLwhyRiSGgWVSnVKbycRERFRMGJgQQFvc0kjnl9eJGdJiKJqj4KkSLlTIQbQiTaxU/LjcdPMPEzNj2cwQURERHSCMbCggOBwumTg8J81h+RAOq1GjSijVgYO+6rbvMelmYxyJ+LHU3MwIClSXud0uuB0ueTfISIiIqKTg4EF9Vs2hxNLdtdgQ3EDvtxZhbLGzl6P02lUOGdUOq6dloNhadE9diPUahXUYLoTERER0cnEwIL6XHOHDd/urUZDuw0JkXo5tXpvVascSieKsD1MYTpcMSkLswYmwuFyoc1sh9XhxKTceCRGGfr0dyAiIiIKdQwsqE9Y7A6sKWzA4l1V+GBTOdqtXZ2afIlA44zhKZiYG48FQ5IRpmenJiIiIqL+iIEFnVSivkHsLujc9Q3VLWa8uLIIb6wtQavZ7ldoPTAlCg1tVlS3mhEfocc5o9Nx0bgMDqEjIiIiCgAMLOikFFpvPNSIV1YXY8nuaphtTsRF6BEbrkNJQwdsDpc8TsyXEIXWZw5PwYyCBHZqIiIiIgpgDCzohNlR3ozX1x6SMyTq2qx+P2tot8qLMCEnFjfPzMfcwUmysJqIiIiIAh8DC/rBqU2i7evKA3VwupRdBzHdWly3fH+d9zjRCvb0YSn48ZQcpMYYUdNiQV2bBZlx4chNiOC9TkRERBRkGFjQUQUTm0ub8O2eanyxvQqFde29HqdRq3D2yFRcOC5DdmrSa7vmRohOT0REREQUvBhYkF+npqK6dug1aqSYjHJa9cdbK/Dc94XYX9PmtxtxwdgMRBq0shi7qdOGQclRuGRCptyRICIiIqLQw8AixLlcLhyoacMnWyvw2ppDaOyweX8myh9EupMggog5g5Mwd3Ai5g9JRpRR13c3moiIiIj6nZANLGw2G7777jtUV1djxIgRGDVqFEKJKKR+dXUxPthcjkP1Hd7rowxaOF0uOVdCBBXpMWG4cnI2rpichWgGE0RERER0GCEZWNTX12PevHloa2uTQcVtt92Gq666Ck888QSCTWFtG15eVYydFS0yhSnVZJTtX7/YUSn/FETq05T8eFw0PgNnDk+VtRItZhvMVoecaK1SsXMTERERER1ZSAYW99xzj9yx2Lp1KyIiIrB+/XpMmjQJCxcuxJlnnolAJ+okPt9eie/21mDDoUa43OlM3Q1Pj8aNM/JkalOEwf+pIHYnuENBREREREcr5AILp9OJt99+G7///e9lUCFMmDABkydPxptvvhkwgYWojRCdmkrqO2AK08li6/o2K15bU4yvd1X7BRPzhyRh0ag0dFodqGm1yFSnyXnxmJQbx90IIiIiIjohQi6wKC0tRUtLC4YOHep3/bBhw7Bx48bD/j2LxSIvHuLf6CufbqvAv5YcwN7q1sMeM3NgIk4bmozZgxKREctOTURERER0coVcYOEJCGJjY/2uj4uLO2Kw8PDDD+P+++9Hf7C+qEEGFRF6DUZkmNDcaUdVcycMWg3mDE7EddNyUZAc1dc3k4iIiIhCSMgFFmFhYfLP1lb/1X7xvednh6vLuOOOO7zfiyAkMzMTfeGGGXlIijbKbk0iDYqIiIiIqK+FXGCRlZUFnU6H4uJiv+uLioowYMCAw/49g8EgL/2BGEJ325zD31YiIiIiolNNjRCj1+tx+umn46233pIF0EJlZSWWLl2KRYsW9fXNIyIiIiIKSCqX5+w6hOzatQtTp07F3LlzZTeoV155BTExMXJgntjNOBoiFcpkMqG5uRnR0dEn/TYTEREREZ1qP+ScN+R2LATREWrbtm0YPXo0Dh06hJ/+9Kf49ttvjzqoICIiIiIifyG5Y3EicMeCiIiIiIJdyw/YsQi54u0TxROP9eU8CyIiIiKik8lzrns0exEMLI6Rp11tX7WcJSIiIiI6lee+YufiSJgKdYycTicqKioQFRUFlUqFU8kzQ0NMEWfheOjh4x/a+PiHLj72oY2Pf+hq6ePzPrFTIYKKtLQ0qNVHLs/mjsUxEndsRkYG+pJ4cjGwCF18/EMbH//Qxcc+tPHxD13RfXje9792KkK6KxQREREREZ1YDCyIiIiIiOi4MbAIQAaDAffdd5/8k0IPH//Qxsc/dPGxD218/EOXIYDO+1i8TUREREREx407FkREREREdNwYWBARERER0XFjYEFERERERMeNgQURERERER03BhZERERERHTcGFgQEREREdFxY2BBRERERETHjYEFEREREREdNwYWRERERER03BhYEBERERHRcWNgQUREREREx42BBRERERERHTft8f8TocnpdKKiogJRUVFQqVR9fXOIiIiIiE44l8uF1tZWpKWlQa0+8p4EA4tjJIKKzMzMY/3rREREREQBo7S0FBkZGUc8hoHFMRI7FZ47OTo6+lj/GSIiIiKifqulpUUupnvOfY8kZAMLu92O5cuXo7q6GiNGjMCwYcN+0N/3pD+JoIKBBREREREFs6NJ/Q/JwKKhoQELFiyQfw4fPhzLli3Dddddh7///e99fdOIiIiIiAJSSAYW9957Lzo7O7F9+3ZERkZi7dq1mDJlCs4880ycfvrpfX3ziIiIiIgCjjoUK9vfeustuUMhggph0qRJ8vLGG2/09c0jIiIiIgpIIbdjIYqtm5ube9RUiJSoTZs2HfbvWSwWefEtZOkrn2ytwDsbSjExJw4Tc+MwKjMGRp2mz24PEREREVHIBRYiqBBiYmL8ro+Li/P+rDcPP/ww7r//fvQHy/fXYvn+OnkRtGoVhqZFY0xmDMZkxWJMVgyy4sI5X4OIiIiITpmQCyzCwsLkn+3t7X7Xi8Efnp/15p577sEdd9zRo/VWX7hpZj6Gp5uwtqgB64saUNNqwbayZnl5ZfUheUyqyYh5Q5KwYGgKJufFwaDljgYRERERnTwhF1hkZWVBp9OhuLjY73rxfX5+/mH/nsFgkJf+YEBSpLxcPSVH1oxUNJux6VAjNpc0YXNpI3aWt6Cy2Yz/rCmRlwi9BlMHJGBoajQGpURhYHIU8hIioFZzYjgRERERnRgqlzgzDTELFy6E1WrF4sWL5fdilkV2djaeeOIJ3HDDDUf1b4gdC5PJJNOn+tscC7PNgdUH67F4dzW+2VUtdzS6izJqZdrUtPx4TC9IwJCUaAYaRERERHTM57whGVjs2LED06ZNk61lJ0+ejJdeegkRERFyYJ7YzQj0wMKX0+nC9vJmrC9uwL7qVuytbsO+qlZ02hx+xyVE6jFtQAJmFCRiRkECkqONfXabiYiIiKh/YGBxFETq04svvuidvC12KozGoz+ZDpTAojd2hxN7qlqxrqgBKw7UYU1hPTqs/oFGekwYhqdHY0S6CcPSTRidEYPYCH2f3WYiIiIiOvUYWPSzO7m/s9qd2FTSiBWy01QttpU3o/s+lpjiLoIMsZshdjXGZsVCrw25MShEREREIaWFqVD9604ONK1mG3ZWtGBHebNMoxKXwlr/LlqiIHxyXjzG5cRidGYMRmbEINIQcr0AiIiIiIJaCwOL/nUnB4OaFrN7doYyQ6O+3dpjR6MgKRKjMmIwPidW1mtkxIb32e0lIiIiouPHwOIUCLXAontB+O6qFqw6UI8tpU3yUt7U2eO43IQITB+QIIMMUa8h6jZUIgIhIiIiooDAwKKf3cmhoKbVjK2lzdhS2ihb3W4ta4bD6eqRPlWQHIVx2bGYlBuHSXnxMIUdXRcuIiIiIjr1GFj0szs5FLWYbTLAEAXhotXtwdo22Bz+gYaYzydqM8SuxtQB8TLg4IRwIiIiov6DgUU/u5MJsDmcOFTfLovCRZtbEXQU1vkXhBt1agxLM8nJ4IOSIzFSFIWnm6DVsPsUERERUV9gYNHP7mTqXUVTJ1YeqMMqsbNxoA61vUwIF52mJubGyToNsbMxMDmSdRpEREREpwgDi352J9P/JgbAH6hpw67KFmVCeFUr1hc3ornT5ndcQqQB0wbEY1p+gmx1m5cQwUCDiIiI6CRhYHEKMLA4+UTx9+7KFrmrIXY0RK2G2eb0OyYmXCeH9Y3NisHYbGWmRrie8zSIiIiITgQGFqcAA4tTz2J3YNOhJqw6WIc1hfXYVtYMi90/0NBpVBifHYdZgxLlAL+hqdGcEE5ERER0jBhYnAIMLPqe1e6UOxobDzViY0kjNh1qRGWz2e8Yg1aNEekmjBE7GmJnIzsWydHGPrvNRERERIGEgUU/u5Pp1NVpFNd34Pt9Yjp4rQw4Gjv8azSENJNRBhiiGHx6ASeEExERER0OA4tTgIFFYAQaRXXt2FzShE1iR6OkCXurWtBtbh+y4sLljsaYzBiMyYrFEKZPEREREUkMLE4BBhaBqd1ix9ayJqwtbJAF4VtKm3pMCNd70qcyY5Qp4XnxiIvQ99ltJiIiIuorDCz62Z1M/XtC+NbSJrmrsbmkEZtLm9DUS/qUKAKfmh8vC8JHZJiQFGVgm1siIiIKei0/4JxX5RL5InRS72QKvDoNEWSI9Kn1RY3YW93a47j4CD2Gp5swPjsWk/PjZZtbHSeEExERUZBhYNHP7mQKbGIi+OrCeqw+KGZpNKKwtq1HnUaUQYsp+fGYOTARMwsSkRkXxh0NIiIiCngMLPrZnUzBxWxzyMngoj5jXXEDVh2o69F9Kjna4B7cJ1rcxmBYmglGnabPbjMRERHRsWBgcQowsCAPUfy9s6IZy/fXyVa3os2tvXtBuEaNoWnRSjF4bpwsCDeF6XgnEhERUb/GwKKf3ckUWjqtDmwrEy1ulTa3ol6jrs3qd4xaBbmLMTkvTtZqDEuLRm5CJDTiB0RERET9BAOLfnYnU2gTBeElDR0yyNhQ3CjrNQpr23scZ9SpMTI9BtMGJGDqgHiMyoiRrW+JiIiI+kpIBxbil+/o6PC7TqfTIT4+vsexdrsdbW1tiImJOab/DgMLOlbVLWasPlgv06Z2VbZgd2ULOqwOv2PCdBqMz4nF1PwEWRg+PC0aWnaeIiIiolMopAOLW265BS+//LJfsDB48GB899133u/Fr3z33XfjiSeegNPpRGJiovz6nHPOOer/DgMLOtF1GmJK+LoiMbivFmsKG9DQbu0RaAxKiZK1GmJ436TceGTFh/OBICIiopPmh5zzahGEzj77bLz33nuH/fnjjz+OZ599FsuWLcOYMWPwj3/8AxdeeCG2b9+OQYMGndLbSiSI2ooBSZHycvmkLDidLjk/Q+xqiNSptYX1aDHbZScqcXljbYn8e1lx4Zg5MEG2uBW7GlFGFoQTERFR3wjKHYu6ujq88MILiIiIgFbbM3bKzc2VgcQjjzzivS4vLw/nnXceHnvssaP673DHgk71jkZxfTt2VbRgR0UzNhY3YmtZE2yOrpevVq3CsHST3M0YkxUjh/aJwEOlYkE4ERERHZuQ37H48MMP8eWXX8Jms2HSpEn45z//idGjR8s7p7a2FsXFxZg+fbrfnTZjxgysW7fuGO9yopO/o5GfGCkvi0alyevaLHasOViP7/fXyja3YmL41tImeXl5lfL34iL0MsAQtRrT8hNkByp2niIiIqKTod+nQol8rs7OziMeI2okNBpl+NjYsWOxevVqjB8/Ho2NjbjtttuwYMEC7NixA8nJyTKwEBISEnr8G+LvHY7FYpEX3+iNqC9FGrSYPzRZXoRSd+cpkSq1uaRJ7m6IOo1v99TIC7AX0UYtJufFY2p+PMbnxGFwShQLwomIiCg0Aovf//73ePvtt494zJo1a5CTkyO/vummm7zXx8XFyZQoETSImgsRZHjSQkRHKF/ie09w0puHH34Y999//3H+NkQnT2ZcuLycOzpdfm+xO2RwIYIMUaexxl2n8fWuannxFISPzDBhbHasTKESfyZEGvgwERER0Q8WdDUWvSkoKMC5556LRx99VO6AiI5RIli5+OKLvcdcdtllqKmpwZIlS456xyIzM5NzLChg2B1ObC9vxqqDSpAhdjZazf4BtpATHy47Tk3Ki8PE3DhkxLLzFBERUahqCeWuUCJO8i1Wra6uxqFDh2TBtiDumFGjRmHx4sXewELsVoiAQuxoHI7BYJAXokAlZmCMyYqVl9vmDJCdpw7UtsnJ4JsOKVPC99e0yVoNcXl7Q6n8e+kxYZiUG6fsamTFYFAy06eIiIgoyHcsxI7CvHnzcNddd2HYsGEoKSmR8ypEcLF161YZVAgiLeryyy/HU089hSlTpsidjI8//hi7du1CUlLSUf232BWKglFzhw0bSxqwtrABa4sa5A6H6EjlS6RPjco0YUpeAqaJCeGZMdBxcB8REVFQCukBeRs2bMBf//pXbN68GbGxsbLb07333ttj8vbrr78u51eIoGPEiBH485//jOHDhx/1f4eBBYWCdotd7mSsL2rAZjFDo6QJrRb/9KkIvUamTImicFEQPjw9Ggbt4euViIiIKHCEdGBxqjCwoFAk0qcO1rbJ3YxVB+vkAL/GDpvfMXqtGqMyTBiXHYfx2bEYlx2L2Ah9n91mIiIiOnYMLE4BBhZESqCxq7JFBhjrihuw8VCjbHHbnWhrKyaDT8mLl7sbMeEMNIiIiAIBA4t+dicThQqxAVpU144NhxrldPANhxpwsLa9x3F5CRHuQvIYjM2KxcDkSM7TICIi6ocYWPSzO5kolNW3WbCm0J06VViPwl4CjXC9RgYYovvU5Px4OVuDdRpERER9j4FFP7uTiahLY7vVPR28EZtKmuTXbd0Kwg1atazNmCCLwU0YmhaNNJPRr5U0ERERnXwMLPrZnUxEhyfa2R6oacO6IjG4r0EO76vvpU4jKcog6zSmDUjAjIIEpJrCeLcSERGdZAwsTgEGFkQnr05DdJ5aXdiAzYcaZXG4CDzs3eZp5CdGYEZBoiwGF7M0uKNBRER04jGwOAUYWBCdOmabA5tLmrDyQB2WH6jD9rImdIszkBhlwKiMGFkQPiYzRk4KN+o4T4OIiOh4MLA4BRhYEPXthHBRDL7yYJ0MOPZUtfY6IVykTs0amIiZAxOREx/OGg0iIqIfiIHFKcDAgqj/6LQ6sLOiWRaCby1rlvUa1S0Wv2PiIvRycJ9ImxqdGSN3Nzi4j4iI6MgYWJwCDCyI+nedhtjFWLavFsv21sp5GjZHt9wpANnx4bLFrdjRmJafwECDiIioGwYWpwADC6LAYbE7sLuyFVvFjkZpE7aUNfWYpyE62Y5IN8k2t2I3Q+xsMH2KiIhCXcsP6ISqcomlPTqpdzIR9T/NnTY5S0MUhH+/rw57q1t7HBNt1GJkRowc2Dc5L152oGJBOBERhZIWBhb9604mov6vusUsC8K3ljZja1kTdla0wGp39hjcNykvHjMLEmSgMSglCjqNus9uMxER0cnGwOIUYGBBFNxsDif2VrViW1kzNpU0Yvn+2h4F4SLQEJPBldQpkywKz4pj9ykiIgoeDCz62Z1MRIFPZI3uq27D9/tq8f3+WtmBqtVs73FcqsmImQVKi9vpAxJgCtf1ye0lIiI6ERhYnAIMLIhCm9PpQlF9O7aViYJwpdXtLpE+5ehKn1KrIHc0PO1txa5GXkIk1OIHREREAeCUBxYWiwUGgwGhhIEFEfU2IXxtUYPc1RCtbg/UtPU4JsqgxYgME8bnxMlaDRF0aFmnQURE/dQpDyxuuOEGTJs2Dddee638vqKiArGxsQgLC0OwYmBBRP9LeVMnNh5qlC1uxc7G9vJmmG3OHoHG1AHxmDYgQe5qDE6NgkGr4Z1LREQBd86rPZ7/0LvvvouqqioUFxdjxIgR3ut/97vfyUDj+uuvP55/nogooKXHhMnLOaPS5Pd2h1PWaYi0qZUH67Bif51se/vVzmp5EfQaNYakRnnb3I7NjkVeQgRUYtAGERFRP3ZcOxZr1qzBkiVL8Prrr6O1tRURERGYPn06vv76a7z00kuYN28eghV3LIjoeDmcLrmLIVKnNhxqlLsaTR22HseJ4GTmwATMKFAmhLMgnIiIgjYV6vvvv5f/wQEDBmDlypWye8rpp5+OYMbAgohONPHeWdrQKSeDbxNTwt2F4b4F4UJeYgRGu3c0RmbGYGhqNAf3ERFR4AQWNpsNixYtwquvvoqkpCSEOgYWRHQqdFodWFNUj+X76uQsjf29FIRr1SoMSzfJYnCxqzEmK4aD+4iIqP/WWLz11lsy1am3oGLbtm3YsWMH5s+ff9KDjhUrVuDpp5/Gnj178Mwzz2DcuHE9jlm6dCmeeOIJVFdXy9oPUfORnp7+g48hIuprYXoN5gxKkhehvs2CbeXN7oLwZpk+Vddmld+Ly7++PYBIgxZT8uMxMScOozJjMDw9GuH64yqpIyIi+p+Oesfi9ttvl6lOv/jFL3r8TPwTF198MYxGI1577TWcLPfeey+WLVuG888/H3feeacMDmbPnu13jKj5OOOMM/Db3/4WU6ZMwT//+U/s3LlTBj+eKOtojvlfuGNBRP2BeP8ta+zEmsJ6/H97dwIdVX39AfxmD0kmmWxkT8jKGpaw77hRBFp3QNyPaLWWVqFVQa1Si2iPlbZqXf6oVCrKpihKLR5FIKwBQtgh+0ICZN/3zP/cG2fMTCbJhMDMm5nv55znZN78kozzeJl35/e79+5JL6HkjBIqq23SG8NtMxKCOCHch5IifaUCVYSfh8WeMwAA2PlSqAULFtCtt94qt8aUlJRQTEwM5eXlkVqtpmuBE8RVKhUVFBRQRESE0cBi0qRJNGDAAFq/fr3cr6+vp5CQEAki/vjHP5o8picILABAqY37ThVW0Z6MYjqW1z6rcbGqodO4Af4eNCU+gKbEBdKEGD9Se7ha5PkCAIAdLoUKDQ2ljIyMLh8PCAigpKQkOnPmjMwCXAscVHSntrZWKlU98cQTun3cS4OrU/EsBQcNpowBALBW3NWbG/DxpnWpqkG3dOpgdikdzaugnNI6yinNo/8cyJMxUf4eUuJ2BH9vmI90DPd0w/IpAAAwncnvGrx06NFHH6XFixdL1GJMa2urRDOWwjMZPAHDQVBHfJ+DBlPHdNVdnLeO0RsAgDUI8nanmUODZWPVDc10IKuMktOLaU9GCWUV11JuaZ1s29IKZYyTo4N0BedlU1N/6hDugg7hAABwNQKLmTNnylKn2bNn04YNGyg8PFzv8aKiIkpNTaWBAwea+iNpxYoVtG3btm7HbN26tdPv6q5yFXNzc9PbzzMS2sdMGWPMqlWr5PkCAFg7lbsL3TQkSDZWUdck/TS0yeB8W1TZIF3Defvn9+nk6epEY6P9pDv4iAgfmd0I8NL/OwoAAPatV/Pcmzdvlv4U8fHxkmvBwQZf9HNexSuvvCJLoKKjo03+eQ888ADNmTOn2zGBgYEm/zx/f3+5LS0t7ZT/oX3MlDHGLFu2jJYsWaI3Y8F5HgAA1o7zK7hMLW9aBeV1tDeDS9yW0L7MUkkI//FcsWwdG/dxkDExlnM1AiRvAx3CAQDsV68CCz8/P2mA9/e//53efPNNWrt2re6x6dOn97oiFCdQ83a1cAI2bykpKdJzQ+vgwYPy/EwdYwzPcBjOcgAA2KpwXw+aPzZSNk4IP11UJbMXaT/NaGQW19CFinrZtp+4qAs0OMDgpPCxA/wo2Mfd0v8bAABgRn3qvJ2enk7FxcVyod6bmYq+6q4q1AsvvEAffPCBBAo8hpdt3X333RJIaHtemDKmJ6gKBQD2jPM0Tl7gYKNMZjWO5pVTc6v+20mwt7vkZnDDPr7lnhruLk4We84AAKCQcrNK8PXXX9NLL70kuRDccyIhIUEqRXFSOW+sqamJHnzwQfr8888lIfvy5cv0xhtv6B43dUxPEFgAAPysrqmFDmZzQnj70qlzF6uozeDdxc3ZkcbH+EuH8BkDAyk20AtLpwAAFM5mAwvOi8jOzu60n4MDwypP3FGbA4bY2Fjy8DDeCMqUMV1BYAEA0LXaxhZJCD+WXyH9NHhG43L1z5X1GCd/j/wpEZyb93FiuK8n+mkAACiJzQYWSoLAAgDAdPxWk3G5hnadL5aNZzeaWto6jYv086DRUb5S4paTyQNVyG0DALDZwGLlypW0f/9+o485OTlRUFCQVI664447yJYhsAAAuHINza3SIZzL22qb92WV1HYaNzTUmybF+tPICF+pQMUJ4qg8BQBg5Z23tcLCwqQylLu7O914443yi3h50o4dO2js2LHk4uJC99xzjwQfr7/+el/+PwAAwEZxEjfPTPCmVVnXTMcvVND+zFKZ1eDAQ7sRZestn+JlUyMj1VJ9CgnhAADK0OsZi88++4zee+89+vbbb/XKrx45coRuv/12OnXqFGVmZtKECRMk4AgObu/0amswYwEAcG0VVzdSckZxe5nb/Eo6U1RFLQYZ4dqE8OkJ3IcjgOICvcjR0QGHBgDAGmYsfvjhB6moZNjTgcu0csnZEydOSKO8pKQkOnPmjM0GFgAAcG1xfsVto8Jl67h8ihPCefnUoewyuljVQLvPF8vGVG7ONDzCR8rb8vIpvkWeBgCAefQ6sOBSrTwrYai+vl5mKvhx1tjY2Kuu2QAAAL1ZPsUT7umXaySo4KVTh3PKqbqxhfZmlMqmFe7b3riPZzUmxQWQTz8XvNAAAEoILO677z6aNWsWtbS00Ny5c2VqJCsrS7px9+vXT2YruMcEJ9cNGTLkWjxnAAAAeZ9JCFLJtmhqDLW0ttH5SzXtJW7zy+WWA4+C8nr6LCVfNidHB5nFSJKmfb6SpxHq446EcACAq+CKys1yo7rnn3+e0tLS5L6rqyvdeeed9Oqrr0on69zcXPL09KSAgACyVcixAACwjg7hnKOx+3wJ7Tp/mTKLO1ee4qVSoyJ+TgbnwMPFydEizxcAwK7KzXJDOS8vL2kox8ufysvLJY/C0dG+/ggjsAAAsD75ZXV0IKv0p1mNCjp7sZpaDRLCPV2dJCF8clwAjY/2kxkRV2f7eo8DADBLYMH9KXg51K233kr2DIEFAID1q29qpZOFldIdPDW/nA5klVFZbXuuoJarkyMNDlFRYrgPDQ9T04gINSUEeWH5FADYhaprWRUqNDSU8vPz+/L8AAAAFKGfq5Msf+KNtbVp6MzFKtqbUSIJ4DyrUVnfTGkFlbIR5ck4f09XmhjbPqvBDfy4Yzga9wGAvev1jAWXkOXZinXr1tG4cePIXmHGAgDA9vFbZH5ZvTTuOyHBBZe6raT65la9cdwRfEKMP42L9qUxA/woJsATgQYA2IRruhTqoYceovXr10tZWc6zUKlUeo+vXbtWqkbZOgQWAAD2qamlTWYy9mWW0L6MUllC1dyq/1bKMxpcFpdnQsYM8KVhYT5ICAcAq3RNA4tdu3Z1uxRqxowZFB7e3szIliGwAAAAVtfUIs36UnJ4ay9zy8FHRx6u7T04eFaDE8KHh6uREA4AVuGaBhbQ+xcZAADsR2NLK528UClBxuGfgg3O0+jI3cWRkiJ9aVy0H42P9qdRkWppAAgAYJeBBS+F4n4VtbX6NcGjo6Pll9s6BBYAAGAKTgjnsrYHs0vpYFYZHcoxXnlqRISPBBrjfgo0vN3RIRwA7CCwePbZZ2n16tUSXBj64osv7KIULQILAAC4Evy2m3G5hg5ml7VvWaV0ubpRb4yDA0kCeGKYDyWGq2l4uA8NCfEmT7deF3MEAFBuYLFhwwZ65pln6JNPPqGVK1fSvHnzaODAgfTyyy/LH8svv/xSOnHbOgQWAABwNfB7Z25pXfuMRnYZHc4pp7yyuk7jHB2Ihob6SJnbCTGcFO6HWQ0AsO4+Fj/88AMtWbKEJk+eTG5ublIVauLEiTJTERcXRzk5OZSQkNCX5w8AAGA3uP/FgABP2eaPjZR9JTWNdOJCJZ0sqKTjFyql1O3FqgbZx9v7u7Mk0OAZDU4InxDrLxWovDCjAQAW1OvA4vLly7pysr6+vlRcXCxfc5AxePBgyszMRGABAADQBwFebnTdwP6yaV2sbKADWaWy7c8qlVkObeO+934KNAaHeEuAoS11G+zjjuMAAMoNLHjKVttddPjw4fTpp5/SwoULqaCggA4ePGgXpWYBAADMjYOEW0eFycYKK+r1Ag1u5HeqsEq2tftyZEx0gKcsm2ovc+uPQAMAlBVYJCUlUVBQkK5ZHjfEU6vVEnDce++9lJiYeC2eJwAAAHQQqu5HtyeFy8aKKuslP+NIbrn01DhTVEXZJbWyfXqovf9UlL8HjRvgR2OlzK0fRfp5oEM4AFw1fe5jwZWhjh8/Tu7u7jRs2DC61hoaGmjz5s109uxZevjhh6W8bUdfffUVHTp0SG8fB0KLFy/W21deXi4/59KlSxIM/epXv+rVH1ckbwMAgJJVNTRLH40DWbyVSm+NNoN3/CBvN1kyxUEGz2rE9fdCoAEA9tEgb926dVLqlmdNvv76a9q5c6d0+u7oscceo+TkZFqwYIFuX//+/enRRx/V3ef+G5x8zkHJmDFjaMuWLTRy5EjaunUrOTo6mvRcEFgAAIC1BRo8myFdwrPLKK2ggppb9S8BAlVulBTJ5W3VkhjOZW7VHrZf6REA7DCw4JmImJgYmbWIiIjoMrAoKSmR2YiuzJ8/n/Ly8mjPnj3k7OwsCeeDBg2SwKVjQNIdBBYAAGDNGppbKTWvQpZNcalbXkbV2NLWaRwvlxoRoabJsf40JT6Awn09LPJ8AcAGy81a0rhx4+SWE8W7wzMSr7zyirwIU6ZMoREjRugea2lpoW3bttHrr78uQQWLjY2ladOm0eeff25yYAEAAGDN3F2cpCcGb0TxEmik5VfQcV2J2wrKKa2Tnhq8bUsr1CWET4kLkO/jGY0wdT8snwIA6wssTMXLmSoqKujUqVPSc+Opp56iV199VR7jmYr6+nrpudFRfHw87d+/v8uf2djYKFvH6A0AAMCWAo3xXD0qhgONdpV1zdI3g2c1kjNK6Fh+hS4hfN2BXBnj5+mqWzY1MkItjft8+rlY8P8EAOwysOAZgqNHj3Y7hgMDPz8/k38mj+/YoO+ee+6hOXPm0M0330zTp0+n2tpa2W84lcOzG9rHjFm1ahWtWLHC5OcBAABg7Xw8XGT5E29P3ZQgeRoHMkslyDiaV05ni6qprLaJdp0vlq1jh3BtmVuuQOXtjkADwB5YNLBwcXGRalLd6U2lJmbY9Xv27NkUFhZGu3btksDCy8tL9vM6sY54hkP7mDHLli2ToKXjjAXneQAAANgLDhBmDg2WjfHyqXMXq2Xp1PH8CkkOzyqp1XUI/7892Z0CjaRIX/L1REI4gC2yaGDxy1/+UrZrra2tTZY/scjISPLw8KDz58/TL37xC90Yvs8J3F3hzuK8AQAAwM/LpzixmzeaEKXrEM7J4O3N+8pk2VTHQEObpzF2gC9NT+gv+Ro8MwIA1s+mciw4MTs1NZXGjh2r28clZIuKiuiGG26Q+05OTnTLLbfQxx9/LBWkeNbk3LlzUiHqs88+s+CzBwAAsI0O4beMDJNN27jv4E+9NLjULc9oaPM0Nh4ukBmNUZG+0kuDczRGRqqpv6r71QwAoExWVW6WgwbuOVFdXU3//Oc/pdN3VFQUXX/99bK1trbKcieekRg6dKgkanO/i47J2yw/P5+mTp0q/S24jwUHH5MmTaJNmzaZvPQK5WYBAAB6r6KuScrc7s0okbyM9Ms1ncZwpakREe3J4Bx0jAhXk6uzaX2mAODqstk+FtzhmztrG+JSsbxp7d69W4IQX19fmjhxolR8MsTByRdffKHrvM3LotB5GwAAwLwuVNRTcnoxHc2tkKpT5y9Xk+GViYerk8xoTIkPpMlx/hTfX0VOPNUBANeczQYWSoIZCwAAgKuvprGFjhe0BxnH8toTwktrmzoFGkNDvaVDOJe55XK3nLfR24IvANAzBBZmgMACAADg2mtr09DZi9WUnFFMe9JL6GhuOdU2tXYaF+DlKlWnJscF0KRYf+kYjkADoO8QWJgBAgsAAADza23TUHZJTXuH8IL2alOnCiupobmtU54GBxgcbIyL9qNwX3QIB7gSCCzMAIEFAACAMjS1tMnSqX2ZJbQvo5RS88upuVV/pXeQtxuNHeAnQQbfDgxSkSPyNAB6hMDCDBBYAAAAKFNdUwul5JRLoJGSXSazGoaBhre7swQZPKMxPtqfBoWoyMUJlacADCGwMAMEFgAAANahvqlVZjRScspkM5an4e7iSMNCfXS9NLjMLS+nArB3VagKpawXGQAAAJSjpbWNThdVSdM+bt7HwUZVQ0uncVH+HjQ9IZCmxQfSxFh/8nSzqb7CACZBYGEGCCwAAABsp/JUdmmtlLeVMrf5FXSmqIpa2n5ePuXs6CDLpWRGI8JXbmMCPJGnATavCjMWynqRAQAAwLpUNzTT/sxS2p1eLB3C88vqO43hPI0REWoaE8XN+/ylQ7gz8jTAxiCwUNiLDAAAANaLewkXVjbIjEZqXrnMaHBCeGOLfolblZuzLJkaH8NBhg8NDfWhfq5OFnveAFcDAgszQGABAABgv5pb2+hsUTUdyy+nA1lllJxRQpX1zXpjuJptQpBKuoPz8qkJMX7oEA5WB4GFwl5kAAAAsP3GfScvVEqAwbMaaQWVVFzd2GlcsLe7NO7jmY1JcQGoPAWKh8BCYS8yAAAA2N/yqUtVjZRWUEHHCyrocE45peZVUFNrW6fKU5yjkRjmTcPCfGRzd8HyKVAOBBYKe5EBAAAAGppb6Uhue+O+fZmldLygUmY6OnJzdpTGfVPiAmhyXAANCfFG5SmwKAQWCnuRAQAAAIxVnuKZDE4G52VUvHyqpEZ/+ZSfp6vkZnDFqcQwHxoa5kM+/VzwYoLZILBQ2IsMAAAAYMryqYzLNbQnvYT2ZpRIAz/DDuFsgL8HJYaradwATgj3p7j+XuTg4IAXGK4JBBZmgMACAAAArqWmljaZzTicW0YnCiqlxG1Beed+GgFerlLidmKMvwQasYGeCDTgqkFgYQYILAAAAMDcymqbJMDgnhoHs0slZ8Own0agyo3GR/vR2AF+NDrKlwaHeJMT174FuAIILMwAgQUAAABYWmNLK6XlV0qXcF46dSSvXGY6OvJ0daLRA/xocqw/EsKh1xBYmAECCwAAAFBi5am0fJ7NKKPDueWUmltO1Y0temPUHi4ym8HdwYeHq6WBn9rD1WLPGZQNgYXCXmQAAAAAS+BytucuVtP+rFLal1EiAUeNQaChTQhPivRF4z7oBIGFGSCwAAAAAGvT3Nom/TO4OzjfcvO+nNI6o4HGxNgA6RLOsxvBPu4Web5geTYdWLS2ttL58+fJ2dmZoqOj5daY/Px8unTpEiUkJHT5IpgypisILAAAAMAWVNQ1SZDByeBdNe4L9XGnUVG+MquRFKmmoaE+5OrsaLHnDOZjs4HFypUr6c033yQ/Pz+qr6+n5uZmevfdd2nu3Lm6MQ0NDXTPPffQf//7X4qKiqLc3Fx67bXXaPHixb0a0xMEFgAAAGCrjftScspoX0apLKE6U1RFBnEG9XNx0nUInxIfQAODVOgQbqN6c81r/ON+hc5UcDBx+vRpCSzYSy+9RPPnz6fMzEwKDg6WfStWrKBDhw7JvpCQENq6dSvddtttNG7cOBo/frzJYwAAAADskcrdha4fFCQbq21skYTwo3nldDSv/bairpl2nS+WjXm7O1NiuA8lhqklKZy/DlP3Qz8NO2NVMxaGeBkTBxTffPMNzZ49W/bx/ccff5xefPFF3bjExESaPHmyzG6YOqYnmLEAAAAAe9TGCeGXqqU7eDInhGeVUX1z5w7h/VVuNGNgoAQoPKvh5WY1n2eDrc9YGJOSkiK3sbGxcltYWCjBxujRo/XG8UxEamqqyWOMaWxslK3jiwwAAABgbxwdHaTpHm+LpsZI34zzl6qlcR/nZ5y4UEFni6rpcnUjbTxcIJuLk4OUtuWGfVzedkS4msJ9MaNhaywaWKSnp8tFfnfGjBlD7u6dKxGUlJRITsS8efNo4MCBsq+srExu/f399cbyfe1jpowxZtWqVbKECgAAAAB+xkncw8J8ZLt73M/9NDhP44ezl2XLLa2TLuG8afl6uFBiuJpGRahp+sBACTbQIdy6WTSw2LRpE23fvr3bMRs2bKCwsDC9fTwVM2vWLFnStGbNGt1+FxcXXXJ2R5yb4erqavIYY5YtW0ZLlizRm7GIiIgw4f8SAAAAwL64uzjR1PhA2f40d4gEFhxoHMuvkJkNTggvr2um3eeLZfvH9+kSaExLCNSVuB3g74mEcCtj0cBi+fLlsvUGX9DPnDmTnJyc6NtvvyWVSqV7jC/0HR0d6cKFC3rfw/cjIyNNHmOMm5ubbAAAAABgOgcHBxoQ4CnbXWPaP5RtbGmVxn1pBZV0IKtUggsONL48VigbU7k707BQ7g7engw+PExNEX5YPqVkVpW8rQ0q+Cnv2LFDEkkMTZ06VSo9bdy4Ue7X1tbKfa4gpZ1xMGWMKc8FnbcBAAAA+q6ltY1S8yto17li6afBuRqNLW2dxgV5u9GEGH+ayFusP0X6eaDy1DVmk30suGfFjBkzKCMjgz788EO9oCI+Pp6CgtpLou3atYtuuukmWrp0KU2cOFH6XmRnZ9OxY8fIy8vL5DE9QWABAAAAcO06hKdfqpFEcA4yTl6opNNFVdTc2rlxHwcavA2P8KG4QC9ydkLjvqvJJgML/p+ZM2eO0ceeffZZvSZ5e/fupbffflsSw7mMLD+u7XPRmzHdQWABAAAAYD6cEH40t1yWTnHjPs7XMAw03JwdKTHMR8rbcn4H99RAoNE3NhlYKA0CCwAAAADLqW9qlSpTHGhwYvjpwiqqbmzRG6Nyc6bxMf40NT5ASt0ODFaRC2Y0egWBhRkgsAAAAABQVuO+3LI6OsjJ4OnFtDejlCrrmzuVxh0S4v1Td3C15Glwh3DoGgILM0BgAQAAAKBcrW0amcXg7uD7MksoLb+Cqhr0ZzTYwCAVzRgUSNPjAykpyldK5cLPEFiYAQILAAAAAOvBq/+5n0ZaQQWdKKiko3nlkqfR1iEpwNXJkQaHqHTlbfk2vr99J4RXIcdCWS8yAAAAAChPRV0T7TpfTD+eK6b9maV0sUq/gbI2IZx7aWjL3NrbrEYVAgtlvcgAAAAAoPwZjfyyejp+oX1GQ1vm1jAhnPM0RkW052dwoDEyUk1uzrYbaCCwUNiLDAAAAADWmRCeXVpLKdllujK3l6oajQYa47mfRrQfjYr0pX6uthNoILBQ2IsMAAAAALYxq5FdUisBBi+dOpBVRiU1+oGGi5MDjQhX07hoPwk2kiLVpHJ3IWuFwEJhLzIAAAAA2GagkVVSSwezyuhgdqncGuZpODgQxQR4SrDBuRrDI9RS8tZa8jQQWCjsRQYAAAAA+wg08qSXRhkdyC6lQ9llVFBe32kcz2rwkinO0ZgUq+w8DQQWCnuRAQAAAMA+ldQ00vGCCkrL54TwCkkKL61t0hvj7uJIY6L8JCGcl1DxjIanmzMpAQILhb3IAAAAAADaWY2c0jrJ0WjP1Sihkpomo8unOMiYHBdAU+ICSO3hSpaAwEJhLzIAAAAAQFeBRsblGtrHgUZmqTTtM8zTcHQg+s/D42lSXAAp+ZpXGXMsAAAAAAB2yMHBgeKDVLI9MGmA7CuubqS0/AqZ0diTXkxZxbU0LNyHlA6BBQAAAACAggSq3OjGIUGysdKaRvK2gpK1jpZ+AgAAAAAA0DV/LzeyBggsAAAAAACgzxBYAAAAAABAnyGwAAAAAACAPkPydh9Kg2lLcAEAAAAA2CLtta722rc7CCyuUHV1tdxGRERc6Y8AAAAAALCaa1/uZ9EdB40p4Qd00tbWRoWFhaRSqaT+sLkjRw5o8vPz0ZzPDuH42zccf/uFY2/fcPztV5WFr/s4VOCgIjQ0lBwdu8+iwIzFFeIXNjw8nCyJ/3Gh67f9wvG3bzj+9gvH3r7h+Nsvbwte9/U0U6GF5G0AAAAAAOgzBBYAAAAAANBnCCyskJubG7344otyC/YHx9++4fjbLxx7+4bjb7/crOi6D8nbAAAAAADQZ5ixAAAAAACAPkNgAQAAAAAAfYbAAgAAAAAA+gx9LKzQxYsXpUlKTEwM+fv7W/rpwFWUlpZGzc3NNGbMGKOPt7a20smTJ8nJyYmGDBlitFGNKWNAWbj5UHZ2NtXX11NsbCy5u7sbHXf58mXKzc2lqKgo6t+//xWPAWVpamqis2fPkoeHB0VHR8u5a6wp66lTp+TfytChQ694DCgT/90+cOCA9ChITEzs9HhpaSllZWVJk7Tg4GCjP8OUMaAcR44ckb/5HYWFhcnfgI74fD5z5oz8nRg2bBg5O3e+dDdljNlw522wDq2trZpHH31U4+bmphkyZIjcLl++3NJPC66Cd955RzN06FCNr6+vJioqyuiYlJQUTWRkpCY8PFwTFBSkiYuL05w6darXY0BZPvzwQ010dLRsgwcP1qjVavn3YOjJJ5/UO/f5/pWMAeVobm6Wv+EBAQGakSNHakJDQ+X8/+677/TGHT9+XBMbG6sJCQnRhIWFyZijR4/2egwo1wsvvKBxdHTUTJ48udNj/G+k43nN1wF8PdDbMaAssbGxsvEx127/+Mc/9Makp6fLMQ0MDJT3dj6/k5OTez3GnBBYWJG33npL4+Pjozlz5ozc37dvn8bFxUWzZcsWSz816KOlS5fKhcHLL79sNLBobGyU/Q8//LDc5zeM2267TYKRtrY2k8eA8qxcuVKTk5Oju//pp59qHBwcNPv379ftW7t2rcbDw0Nz7Ngxuc8XjP369dP8+9//7tUYUJaamhrN6tWrNXV1dXKfz9MnnnhCPmDQXhTy7aBBgzTz58/Xncf33nuvJiYmRgITU8eAcu3cuVMuMO+6665OgcXmzZs1rq6uur8Hp0+f1qhUKs3bb7/dqzGgPLGxsUY/ROpo7NixmtmzZ2taWlrkPv99CA4O1tTW1vZqjDkhsLAiSUlJmkWLFuntmzVrlmbOnDkWe05wdXUVWGzfvl3DE4zZ2dm6fYcPH5Z92jcTU8aAdeBZi7/97W+6+9OmTdMsWLBAb8ydd96pmT59eq/GgPJt3LhRAsuqqiq5v3v3bjmHT548qRtz7tw52aed2TBlDChTcXGxfMrMnzDzh0KGgQVfMM6dO1dv34MPPqgZPXp0r8aAMgOLlStXag4dOqQpKirq9Dh/2MjncMfZh8LCQpnZ2rRpk8ljzA2Lr61o/eWJEydo9OjRevvHjRtHqampFnteYB58jDmfZsCAAbp9SUlJsoZae/xNGQPKl56eTpWVlRQXF6fbx8evp3PflDGgTBkZGbRnzx765JNP6Pnnn6dly5aRSqWSx/j4cVMszpnQSkhIkLX4Hc/9nsaAMj344IP0wAMP0OTJk40+3tV5ffz4ccmpMXUMKNOqVavokUcekb/3U6ZMkb8FWtpzt+OxDQkJofDwcL1zv6cx5obAwkpUV1dLUq9hsjbfLysrs9jzAvPgY2x47B0cHMjPz093/E0ZA8rGiXd8oTFq1CiaPXu27GtpaZHz39i5X1VVJR86mDIGlGvLli30zDPP0NKlSyWguOuuu3SPGTuvDf/2mzIGlGf16tVUUlJCf/rTn7ocY+zY8n2+HuBz3tQxoDzPPfecJNwfO3ZMCvK4uLjQHXfcIX/PtceVCzoYFvMwPPd7GmNuCCysBP+DYw0NDXr7uaKAq6urhZ4VmPP4Gx57w+NvyhhQLn4zWbBgARUWFtLWrVt1VT14xokrexk793k/P27KGFAuDir27dtHFy5coBtuuIFmzJghFxwM575tysnJoeXLl9Njjz0m1aCSk5Pp0qVL8kEAf60NCIwdf20loe7+9huOAeV56KGHdMfH19dXZi94lomrO2mPa2Njo1R86u59v6cx5obAwkp4enpKBMpvPB3x/cjISIs9LzAPLh3KZUT5EygtfgOqqanRHX9TxoByg4q7776bjh49Sjt37pRykR1nnfh+d+e+KWNA+TgAXLJkiSyF279/v+68Li8vp7q6Ot04vpDgwKPjud/TGFAWPla8fGXNmjX07LPPypaSkiKlovlr/gRbe2yNndcBAQHUr18/k8eA8gUFBcmt9ljyceXZZg44tXhpG7cc6Hju9zTG3BBYWJGbbrqJtm3bprvP/5i++eYb2Q+27cYbb5QLhe+++06378svv5RPta+77jqTx4Dy8Hm8cOFCuaj48ccf9XJktPgc//rrr3WfSvEt/y3oeO6bMgaUpba2ttM+7Rpr7dKW66+/Xmad+Nhqbd++XYJRnt0wdQwoC/cY4pmJjtvcuXOlhwV/zY8zPn/5fb7jckb+u2547vc0BpSlrsOHAFo7duyQD4m0x37q1KmSO/XVV1/pxuzatYsqKip0x9aUMWZnkZRxuCLcj8DT01PqU3/11VdSmo7rFhcUFOAVtXJc2WHPnj2aRx55RMrE8de8NTQ06MbwY1znft26ddL7wM/PT/P000/r/RxTxoCy3HfffRp3d3c5ZtrjzlvH6l6ZmZlSKer++++Xc5+/h+/z/t6MAWXhMqFc0YdLBXP1Ji4pHhERIdX+OpaIfuqpp6TXxUcffaT5+OOPpUfNb37zG72fZcoYUDZjVaH4/Z2P67x58+S85sqQXl5eev2JTBkDyisxPG3aNM2aNWs0//vf/zR//vOfpVw4n8cdrVixQuPt7a15//33NevXr5cKYgsXLuz1GHNy4P9YJqSBK8GVod544w3Ky8uj+Ph4evrpp6UDN1i3xYsXG63gsHnzZl0HVf708Z133pFPIvnTyVtuuYUWLVqk11nblDGgLPwpJX+6ZIiXRj3xxBO6+9yZ+fXXX5fOunzO/+EPf6BBgwbpfY8pY0BZuBrUxx9/LEtg+Fy/+eabad68eXp5Mby04f3335dPJfkte86cOfT444/3egwo22uvvSb/Dv71r3/p7efz+a9//atUjOPlLbxczrA7tyljQFlSUlLogw8+oOzsbKnixEUbZs2a1Wnc2rVrpcADF/eYOXOmXC8Y5k+YMsZcEFgAAAAAAECf4WNMAAAAAADoMwQWAAAAAADQZwgsAAAAAACgzxBYAAAAAABAnyGwAAAAAACAPkNgAQAAAAAAfYbAAgAAAAAA+gyBBQAAXBOHDx+mvXv3WvTV/eGHH6ShqFZ9fT19//33tGHDBiosLOz2e5OTkykjI8MMzxIAwDY4W/oJAACAdTl+/DidPn262zHc9X3NmjVUUlJCkydPJks4deoULVy4kM6dOyf36+rqaNSoUeTj4yOdyRMSEig0NLTL779w4QI99dRTdPDgQXSvBwAwAQILAADo9QX7l19+qbvPX8fHx9OQIUN0+2bOnEljx46l6upqi726zz33HP3617+WQILt3LmTioqKJChycnLq8fvnzZtHy5cvpy1bttBdd91lhmcMAGDdHDQajcbSTwIAAKxXcHAw/fa3v6Xnn3++01KoxsZG3YzFgQMHyMHBgYYOHUqpqalUVVVF06dPJy8vL/mal025ubnRpEmTyN3d3ehMSVZWFkVERMjMg6Nj16t5eflTdHS0LGXi26NHj8oMCi+Bevvtt8nFxYXuuOMOGZuTk0MnT56kwMBASkpKkse0XnzxRdq1axf9+OOPV/EVAwCwTZixAACAa8JwKdRbb71FJ06coIqKCgku+KK/pqaGVq1aRS+99JLMeJw5c0ZmGPbv368LLjjouPPOO+ns2bM0cuRIufX19aVt27ZR//79jf7u7du3U2RkpAQVLC0tjY4cOSI5Flu3bpWfzYEF/9433niDpk6dKr+Hn8/nn3+u+77rr7+eVq5cSZWVlbqZDwAAMA6BBQAAmE1mZqZc5MfGxspsBt/+/ve/l31RUVFUW1srtxs3bqT7779fvofzHDgQ4O/l2YTW1lYJCp5++mlau3at0d/DMxQdl2Y99NBDMlvCsyqfffaZ7OPfz0HDjh076LrrrpN9nI/BwYdWYmKi/D7+edoxAABgHAILAAAwmxtuuEGCCcbLnnhJk4eHhwQTzNPTUy7mz58/L/ebmppo/fr1EnxwLgev3uUtPDxcZiy6wjMlPKvRHV5K5erqKrMovCSL7w8cOFBvjFqt1v08AADoHgILAAAwG8OLfQ4ujO1raGiQry9evChfc04G50J0xMFAVzhvo6fEcZ79+M9//kNLly6lv/zlL/Lz7r77brr99tt1Y7iSFFOpVL34vwQAsE8ILAAAQLG0F/Rc3anjBX9PuJTs5s2bexx32223ycYzJJyXwUumCgoK6He/+508np2dLbeGMxkAANAZGuQBAIBi8WzG+PHj6b333pMlUIZ9JrpbcsWVnjjpuis8G8GJ5NpA5Mknn6S5c+dK9SotrlTFPS+0ydwAANA1zFgAAICivfvuu3TjjTfKxtWhOLn6u+++o0GDBtHq1auNfs/EiRNp8ODBtGnTJlq0aJHRMRx0cDUobuY3bNgwKVHLFaPWrVunG8Plabv6fgAA0IfAAgAA+uTWW2+V8rGGDBvk8cW+Ye+JKVOmdMpfmDFjhvSq0OISs9yUjytAcRds7jfBlaK4CV93XnjhBan69PDDD0tFKJ514CBCKyQkhFJSUuijjz6i5ORk8vPzo++//54mTJig65vBv5fLzwIAQM/QIA8AAGzWkiVLJLAwFvj05P3335dgg2dJAACgZwgsAAAAAACgz5C8DQAAAAAAfYbAAgAAAAAA+gyBBQAAAAAA9BkCCwAAAAAA6DMEFgAAAAAA0GcILAAAAAAAoM8QWAAAAAAAQJ8hsAAAAAAAgD5DYAEAAAAAAH2GwAIAAAAAAPoMgQUAAAAAAFBf/T+8zlcy/PtfkQAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot\n", "fig, ax = plt.subplots(4, 1, figsize=(8, 8), sharex=True)\n", "\n", "ax[0].set_ylabel(\"polar angle (rad)\")\n", "ax[0].plot(t_fs[valid], posi_int[valid, 1])\n", "ax[1].set_ylabel(r\"$\\langle \\Psi(0) | Q_t, P_t \\rangle$\")\n", "ax[1].plot(t_fs[valid], ovlp[valid].real, ls='dashed', label=\"real\")\n", "ax[1].plot(t_fs[valid], ovlp[valid].imag, ls='dashed', label=\"imag\")\n", "ax[1].plot(t_fs[valid], np.sqrt(np.abs(ovlp[valid])**2), label=\"norm\")\n", "ax[1].legend()\n", "\n", "ax[2].plot(t_fs[valid], action[valid] / HBar)\n", "ax[2].set_ylabel(r\"$S_t / \\hbar$\")\n", "ax[3].plot(t_fs[valid], phase[valid])\n", "ax[3].set_ylabel(r\"$\\arg C_t$\")\n", "ax[3].set_xlabel(\"Time (fs)\")\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "489dc2c8", "metadata": {}, "source": [ "## Spectrum\n", "\n", "The spectrum is computed by the zero-padded FFT. The grid spacing is $2 \\pi \\hbar / (n_{\\text{fft}} \\Delta t)$, while the intrinsic resolution is limited by the total time, $2 \\pi \\hbar / t_{\\text{tot}}$.\n", "\n", "The computed result is compared with the Dunham expansion references." ] }, { "cell_type": "code", "execution_count": 8, "id": "cbe217d5", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Grid spacing (cm^-1): 0.64\n", "Peaks (cm^-1): [2623.8 3272.7 3921.7 4570. 5218.9 5867.9 6518.1]\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Reference energy levels (Dunham expansion)\n", "def f(x, B, D, H, L):\n", " return B*x*(x+1)-D*x*x*(x+1)*(x+1)+H*(x**3)*((x+1)**3)+L*(x**4)*((x+1)**4)\n", "\n", "# Dunham expansion coefficients for H2 vibrational ground state\n", "# D. E. Jennings and J. W. Brault, \"The ground state of molecular hydrogen\", Journal of Molecular Spectroscopy 102, 265–272 (1983).\n", "B = 59.334547\n", "D = 0.0456821\n", "H = 4.8542e-5\n", "L = -5.411e-8\n", "\n", "zpe = 2183.0 # zero-point energy [cm^-1]\n", "analytical_energies = [f(n, B, D, H, L) + zpe for n in range(20)]\n", "\n", "ener_grid, spec = get_ta_spectrum_fft(pref, ovlp, action, dt, n_fft=2**19, valid=valid)\n", "print(f\"Grid spacing (cm^-1): {np.round((ener_grid[1]- ener_grid[0]) / CmInv, 2)}\")\n", "\n", "peaks, _ = find_peaks(spec, height=0.1, prominence=0.05, distance=10)\n", "print(f\"Peaks (cm^-1): {np.round(ener_grid[peaks] / CmInv, 1)}\")\n", " \n", "plt.plot(ener_grid / CmInv, spec, color='blue', label=\"TA spectrum from a single trajectory\")\n", "plt.plot(ener_grid[peaks] / CmInv, spec[peaks], \"x\", color=\"red\")\n", "plt.vlines(analytical_energies, 0, 1.0, color=\"green\", ls=\"dashed\", label=\"Dunham expansion reference\")\n", "\n", "plt.xlim(0, 10000)\n", "plt.xlabel(\"Energy (cm$^{-1}$)\")\n", "plt.ylabel(\"Intensity (arb. unit)\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "ba685896", "metadata": {}, "source": [ "- The spectrum of a single trajectory consists of discrete peaks.\n", "- The peaks agree with the reference levels near the energy of the trajectory itself\n", " (about 4000 $\\textrm{cm}^{-1}$ above the potential minimum), while they deviate away from it.\n", "- This property is exploited in few-trajectory approaches such as the multiple coherent (MC) SC-IVR,\n", " in which a trajectory with an energy close to each target level is used to obtain that level\n", " [J. Chem. Phys. **130**, 234113 (2009); J. Phys. Chem. Lett. **4**, 3407 (2013)].\n", "- To reproduce the whole spectrum, many trajectories must be sampled in the phase space around the initial state.\n", "\n", "The following tutorials show practical calculations with the phase-space sampling." ] } ], "metadata": { "kernelspec": { "display_name": "pyscivr (3.13.11)", "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": "3.13.11" } }, "nbformat": 4, "nbformat_minor": 5 }