diff --git a/beamphysics/fields/__init__.py b/beamphysics/fields/__init__.py index 4c314bd1..e60b25af 100644 --- a/beamphysics/fields/__init__.py +++ b/beamphysics/fields/__init__.py @@ -1,5 +1,7 @@ from .fieldmesh import FieldMesh +from . import multipole __all__ = [ "FieldMesh", + "multipole", ] diff --git a/beamphysics/fields/multipole.py b/beamphysics/fields/multipole.py new file mode 100644 index 00000000..a555dbdd --- /dev/null +++ b/beamphysics/fields/multipole.py @@ -0,0 +1,179 @@ +from functools import partial +from math import factorial + +import numpy as np +from scipy.integrate import quad +from scipy.optimize import curve_fit + + +def synthesize_field( + x: np.ndarray | float, + y: np.ndarray | float, + multipoles: list[tuple[float, float]], +) -> tuple[np.ndarray | float, np.ndarray | float]: + r""" + Calculate transverse magnetic field components at position (x, y) + from multipole coefficients. + + The magnetic field is computed from the complex multipole expansion: + + .. math:: + B_y + i B_x = \sum_{n=0}^{N} \frac{C_n}{n!} z^n + + where :math:`z = x + iy`, :math:`C_n = B_n + i S_n`, and the sum runs + over the provided multipole coefficients. + + Parameters + ---------- + x : float or np.ndarray + Horizontal position in meters. + y : float or np.ndarray + Vertical position in meters. + multipoles : list of tuple[float, float] + Multipole coefficients as (B_n, S_n) pairs, where + n=0 is dipole, n=1 is quadrupole, n=2 is sextupole, etc. + B_n is the normal component and S_n is the skew component, + both in units of T/m^n. + + Returns + ------- + B_x : float or np.ndarray + Horizontal magnetic field component in Tesla. + B_y : float or np.ndarray + Vertical magnetic field component in Tesla. + """ + z = x + 1j * y + + B_complex = 0j + for n, (B_n, S_n) in enumerate(multipoles): + C_n = B_n + 1j * S_n + B_complex = B_complex + (C_n / factorial(n)) * z**n + + B_y = np.real(B_complex) + B_x = np.imag(B_complex) + + return B_x, B_y + + +def decompose_field( + data: list[tuple[float, float]] | np.ndarray, + r0: float, + nmax: int, +) -> list[tuple[float, float]]: + r""" + Decompose azimuthal field measurements on a circle into multipole + coefficients using a least-squares fit. + + Given measurements of the tangential field component + :math:`B_\phi(\phi)` at radius :math:`r_0`, this function fits + the model: + + .. math:: + B_\phi(\phi) = \sum_{n=0}^{n_\mathrm{max}} \frac{r_0^n}{n!} + \left[ B_n \cos\!\left((n+1)\phi\right) + - S_n \sin\!\left((n+1)\phi\right) \right] + + Parameters + ---------- + data : list of tuple[float, float] or np.ndarray + Measurement data as (phi, B_phi) pairs, where phi is + the azimuthal angle in radians and B_phi is the tangential + field component in Tesla. + r0 : float + Measurement radius in meters. + nmax : int + Maximum multipole order to fit. 0 = dipole, 1 = quadrupole, + 2 = sextupole, etc. + + Returns + ------- + list of tuple[float, float] + Multipole coefficients as (B_n, S_n) pairs for n = 0 to nmax. + B_n is the normal component and S_n is the skew component, + both in units of T/m^n. + """ + data_array = np.array(data) + phi = data_array[:, 0] + B_phi_measured = data_array[:, 1] + + def model(phi_vals, *params): + B_phi = np.zeros_like(phi_vals) + for n in range(nmax + 1): + B_n = params[2 * n] + S_n = params[2 * n + 1] + factor = (r0**n) / factorial(n) + B_phi += factor * ( + B_n * np.cos((n + 1) * phi_vals) + - S_n * np.sin((n + 1) * phi_vals) + ) + return B_phi + + initial_params = np.zeros(2 * (nmax + 1)) + popt, _ = curve_fit(model, phi, B_phi_measured, p0=initial_params) + + multipoles = [] + for n in range(nmax + 1): + B_n = popt[2 * n] + S_n = popt[2 * n + 1] + multipoles.append((B_n, S_n)) + + return multipoles + + +def _integrand( + phi: float, + B_actual: callable, + B_design: callable, + r0: float, +) -> float: + """Squared relative field error at azimuthal angle phi.""" + x = r0 * np.cos(phi) + y = r0 * np.sin(phi) + + B_x_actual, B_y_actual = B_actual(x, y) + B_x_design, B_y_design = B_design(x, y) + + B_design_mag_sq = B_x_design**2 + B_y_design**2 + error_mag_sq = (B_x_actual - B_x_design) ** 2 + (B_y_actual - B_y_design) ** 2 + + return error_mag_sq / B_design_mag_sq + + +def scalar_error( + B_actual: callable, + B_design: callable, + r0: float, +) -> float: + r""" + Compute the normalized RMS field error between two field + distributions on a circle. + + Evaluates: + + .. math:: + \Delta B / B = \sqrt{ + \frac{1}{2\pi} \int_0^{2\pi} + \frac{|\mathbf{B}_\mathrm{actual} - \mathbf{B}_\mathrm{design}|^2} + {|\mathbf{B}_\mathrm{design}|^2} + \, d\phi + } + + Parameters + ---------- + B_actual : callable + Field function with signature ``(x, y) -> (B_x, B_y)`` + returning the actual field in Tesla. + B_design : callable + Field function with signature ``(x, y) -> (B_x, B_y)`` + returning the design field in Tesla. + r0 : float + Evaluation radius in meters. + + Returns + ------- + float + Normalized RMS field error (dimensionless). + """ + integrand = partial(_integrand, B_actual=B_actual, B_design=B_design, r0=r0) + integral_result, _ = quad(integrand, 0, 2 * np.pi) + return np.sqrt(integral_result / (2 * np.pi)) diff --git a/docs/api/fields.md b/docs/api/fields.md index 7e02fe0b..a0b8a690 100644 --- a/docs/api/fields.md +++ b/docs/api/fields.md @@ -1 +1,3 @@ ::: beamphysics.FieldMesh + +::: beamphysics.fields.multipole diff --git a/docs/examples/fields/multipole_utils.ipynb b/docs/examples/fields/multipole_utils.ipynb new file mode 100644 index 00000000..431fdb62 --- /dev/null +++ b/docs/examples/fields/multipole_utils.ipynb @@ -0,0 +1,214 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Multipole Utilities\n", + "\n", + "This notebook demonstrates the multipole field utilities:\n", + "- `synthesize_field`: compute transverse magnetic fields from multipole coefficients\n", + "- `decompose_field`: recover multipole coefficients from azimuthal field measurements\n", + "- `scalar_error`: compute normalized RMS field error between two field distributions" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": "import numpy as np\nimport matplotlib.pyplot as plt\n\nfrom beamphysics.fields.multipole import synthesize_field, decompose_field, scalar_error" + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Field Synthesis\n", + "\n", + "Synthesize a quadrupole field and visualize it as a quiver plot." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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/H330Uf6VLVY2YR18ttbANCLOsJEelnJjrtNfu3PP2mIbCNXGRn1YMMAWRdfGaoyzaevmMgUep06dqnN7/Vza2usT2CLx2v7880+4u7vzKlOmNQ/nzp1r8MHEFi+zx8dSmixhVaTYwmaWtsRmGeofQgcUbG0Hm1Fgi8XNtdfYTIdp88D6f4MVK1YIUpGKEEKIMGiGghDS5rBFz2w3URYwsDKhbEEvW0DMpo/ZVDFb38Cmf9kC3drTz6xqEdungi0sZusf2HRy/YCE/QxbUMemjFk5UnYdK0/LFirXxhZms1xVtjiObdbGduxmC4xN1Zeai+2lwTYlYpWi2NQ461yzkSv2u8xhHXq2voO1w1Ko2EJnttCPLRBnqWAMmzJnwcONN97Ifycb+WelA9l0OQu2LC3IZtj17PextSBPPfUUT/1izwEbGWPT8WxRt5D7SLCAirX52muv8c2X2KwSe25Z4MfSzFiFErYw2xxWCpeVxmWvBZaixUoksmCIVUBpqgoLIaTtastVnoh1KKAghLRJTz75JB+9ZlWX2N4OrFQqq8jEZg1Y55l11Gtj+alr1qzBq6++yvNPWWecLX5jP1e7w9qlSxesXLmSL3xj5UdZWg1b9MyuNS1MNmEdYdbhZR11tscE+1nW4WYd2uZiHd+NGzfyykusc+zl5cUDFNYW+1pfnz59eLUpljNr2g2VVXViQYQJy5tlMyVs0R872II8tl8FW9DHHkdj2PPCdmZli6hZNRGWPsZmP9jzZ+rsC43dR7aInK1ZYXXVWfoXC8rYugrTAkZL2KJFVtWJBWEsQGTPD/v7scCREEJI2yAymkqlEEJIG8dG5VklCzazwEbsOxo2ms8W9rFKTIQQ0tGwwQ9PT0/8cqw/XNwlaEuUCj0e7JfAN7OjGdCWoxkKQki7wUrwscXIbI0FmzlgKU6EEELaFwNLMTK2vOS3ve8TsR4FFISQduWll17iByGEEELaBgooCCGkjWhOyUBCCCGkraGAghBCCCGEtBoDxPxoS9ra/Wlv6NkjhBBCCCGEWI0CCkIIIYQQQojVKOWplbD6+Tk5Obzeu2mnXkIIIYQQe2M7BCgUCr6vjVh89ceS9UYxP9qStnZ/2hsKKFoJCybCw8NbqzlCCCGEkDoyMzMRFhZGzwoRHAUUrYTNTJj+Z7bXhilsFoTtCsx20W0LIxCthR43/b07OnqN02v8WkCvc/u9ztmGcmxQ09QXIURoFFC0ElOaEwsm7BlQqFQq/vuvtYCCHjf9vTsyeo3Te9q1gF7n9n+dt5WUawNE/GhL2tr9aW+unV4IIYQQQgghRHAUUBBCCCGEEEKsRilPhBBCCCGk1VCVp46HZigIIYQQQgghVqOAghBCCCGEEGI1SnkihBBCCCGtRg8xP9qStnZ/2ht69gghhBBCCCFWo4CCEEIIIYQQYjVKeSKEEEIIIa3GYBTxoy1pa/envaEZCkIIIYQQQojVKKAghBBCCCGEWI1SngghhBBCbGQ0GiES2S9txmjUAKotgNMEiETtu/tmaINVnth9ItajZ48QQgghHVaVNhtGo8Euv5v93irVXhSUPI0q1Xb7tKHPg0HxFYyFo2BU72r3wQTpmOhVSQghhJBWpTOoUay+AAexC3wcYwX93QajDnLVcRRW7USRchc8ZN3QI+ATQdvQaM9DofwbFcp/oNfnwEEaB3/vLwSd7YD2OIzKxYBqM3vG+O0i13sFa4MQIVFAQQghhBAYjHrItUUoVudAoStBb68xEIskgjwzFdp8FKjOoqDqDPJVZ1GsugAniSemRf0uyO/X6EtRXLWXBxBFVXugM5Tz28UiZ/QLWiBIGzp9ISqVq3ggodGernPO2+NZiAR4roxGNaD6D8bKJYDuTN2TDv0gcuiBjsBgFPOjLWlr96e9oYCCEEIIaYO0Bi00ehWUeiWq9MrLXysR4hSOYOdQq36nwWiAQluMYk0uSjQ5KFZf/qrJQakmD3pj9Uj49PAXrQ4m9AYNitUXka86g4KqszyQqNQVNLhuROCLcJS4Wz2CX6m9iEIWQCh3oUx9nGfB1xftORdO0kBYy2CsgrJqExTKv1Cl2sX3U67PQdoJrs63wBZGQykMimUQq5cBhhKz14hc7rapDULsiQIKQghp5cWVJnJNBTxlbnZto0JXhZyqYsS5hdr1MR0vvQgjjOjiHgEXqZPdOtirs3fAR+aJAEcfBDr5wtfRExKBRtFNzisu4VjpKUhFUjiIpTVfHcQOcBBJIa35KuVf2e3sGpnYAaHOwc16ntlrbEfhJuSrcnmQUBM06JSo0inhUuGO/OwsGEXGOj8X79YNj3d6odmPpUJXhgNFa1CiyeUzD+yrji3ubcRQ3yno4TkCLVGoSkSyYhsPIFgqk76JNuI8JiLCbThaqrhqPwort/F0JpUup9FrnSTBiPR8wKp1ESr1AT4TUVm1DkZjRaPXe3k8Y9XshCmtyVC5BEZ5GiA6B4gsrPUQB/DF2IS0VRRQENLB6Qw63vGxt5yqPAQ7Bdq9I74xbx/6iITNua7vvCIDm/OO4L7oSfBwcLVbO3+mb0emshB3RI5FT89ouzx3LhJHvH16ESQiMcYG9sHYgD6IdgsWvB13qTMeTfgcYogQ7RaC7h7R6O4ZhW4e0Qh08hbksbGOu86gx1cXltTcJoYYfo5eCHDy4UEG+xro6At/J2/+1c/RG1Jxyzp7Ma6R+CP9b1ysSGn2z7Cg5vHYBxDmEtKs69nz0dm9Ozbkrkalvm6HVWQUwRHODX4mwiUaD8c+AwexrNn3y03qBS+HAOwvWg2jmRH8+iJdemBc0Gy0lKcsEkpdEQpU9dJ0zHCR+GGI/1OwhoPYE6XqhCaDCSbO50VIxNYEtwZodZegVG1qMphwkMbCzflWK9pgEYUcxqpVl9dINP6eJnK5EyKRAzoKPUT8aEva2v1pb9pdwtgPP/yA6OhoODk5oX///tizZ0+j1+/atYtfx66PiYnBjz/+WOf8L7/8gpEjR8Lb25sf48aNw+HDh21ul9iH3qBulae2TJNh9zYqdXIklR+yezun5AnYU7jN7u1sytuOhWnLeEqFPW3M2Yvf09ahRC23WxvhLgFYm7MP9x/6EOtzDtjtMQ3w6YwDxefw9LHv8WTCt9hbeFrwtsQiMSaHDEZWVRF+T9uKBw5/hvsOfYJFqZuRUdkwDcVandzDMNK/NwwwIrkiG//m7MWHiUtwz6H3MOvAO3j37EKszNyJpPJ0aA3VaTXWmB5+A6JqddoNMKBAXYIz8kvYXnAYyzI24uuLf+D109/hwaPvYNq+Z/HWmR9QoVO2KHB5Nv4ReDl4Nut6Z4kTXu7yNIb6DWzRYwl1DseTcS/BSdwweKgv0DEEj8e+CGeJC1pqoO8kzIx4GVJR44GIu9QXt0e8aNWMj0zsgrFBb2FYwHMQN9HxHRn0ktWpTh6O3TE4ZAVivJ6ACJbb8XLsj0DXiVa1waooebjNRnjQAXi6Pdzo2KuX+9NWr50Qib0g9nwPIt8NgGxkI+04AM4zrWqDkNbSrgKK5cuX45lnnsFrr72G48eP80Bg0qRJyMgw3/lLTU3F5MmT+XXs+ldffRVPPfUUVq5cWXPNzp07MWvWLOzYsQMHDhxAREQExo8fj+zsbKvbbUuMmoRWaUeu+NnubRiMGpwufL56mtiOFNo8bM7+H7SGKru2k111EauyvuJpCPZUrCnCssyFOFpy0K7tsE7i5vwd+ObiLzw1xV5cpM7IUObi6eMf42jJWbu04Sp1hr+jF8p1lfjywgo8dexr3hEWWi+vGMguzx6dLU/HG6cX8s7+fzkHobGh013fxOCBfObAJL0yHwtTN2H2oY8x9/Dn+CNtG0+LstXsqIkQmRnlK9bIsafwJH5MXoMnj32FW/e+iueOf4sFKeuQrSxsURss9eip+LvqPJ7GXBc4GK90nQM3acs64t4yLzzeqel0GU8HD7zR7QX08OwCa7BZh9tC72j8vjj48sDD3cED1ursPggDfSZbPC8WSTEj4iU+o2EtPuvieRMiXVnn2Lx4jxsR7joEthCLZIj0vA9eTn0t3RN09n3F5lkxidgTXu5PQuZg/m8rlUbDzeU22EokDYXI+SZAYmF2y+lGiCS+NrdDiD21q4Diiy++wJw5czB37lx07doVX331FcLDwzFv3jyz17PZCBYgsOvY9eznHnjgAXz22Wc11/zxxx947LHH0KdPH3Tp0oXPWBgMBmzbts3qdtsKoy4TxtKHYTQo7NqOSnMCxfK3eRk9eypS7kWhchvyK9cL/rtrBylZlQdRrs3G0aKf7VJFxSSn6hLUBiWWZ3wEjUElaDtaw5X85RJNEc9tX5Q+D+fKTwnaDsv3No2oa4zVQcShkgR8lPQ1PycUuUYBzeUgxdQxVOiUeOfsj/g1ZTVPgxFCoaoMBapS/nqIdAmqkwLFgoovzi9HmabxFIjmyFYW4Yw8FdlVRejkVndxLUuB+izpL8za/z6Wpm/nayCsxQKHHfkncKg4CQFO3mavSa7IwfyU9bjrwAd49MhXWJGxkz8HLZFakYN/snZhVdZuOEscm7ye/S0zlQV8JijYufkdpeSKTCxMXYMfLi1DU8MKTmIZnut8L56OvwtOzbhPtaVUpOPH5IX4/PwPjV4X5BSAd7q/hGjXCFgjQ5mKHy59hqWZv1m8xk3qgafiXoKPzPoOZU5VMhakvIQDxastXjMpaC7CXTrDFiXqZKzJeAipFeb3Y3CVBmCI/xOwVaUmBYdzZqBU1TCbgAlxm8pnMmyl1WUgp3AKNFrzaVze7mzthO3ppEZ9IYyKLwC9+UHKjlgq1lTlqa0d5BpYQ6HRaJCQkICXX365zu1sNmH//v1mf4bNOLDztU2YMAELFiyAVquFg0PD6VKlUsnP+fj4WN0uo1ar+WFSXl5dwo4FK+ywB71ODr3iN+i95wIOvjAofgQMFRBVrhT0DclgUKKo7Fl4uT8HmUNnyBXzYTSKUCL/CgE+3wvXjlGDUwXPIcz9dvi5jEaOYi2MRjEuFH8BX6cxkFxOE2DPJ+sAWvu8sgV4m3NeQYhLf3T3moaMikOAUYSzpSsR6TISQS59BHtMSzM+4GkFYwNmIUd5ibdToMrAv1nf4bbQZ1s0otbY4/4tdR6UukqMD7wJJeoinpPNOv6/JH/D0yZi3OIEeTy/pi7FJUUyhvsNRrGqhLfDJMov4t2zn+F/nZ+El6x5aSONWZy2Fjvzj6KLRzRK1WUQG6vzzJnVWdtxTp6MFzrP5vnztliRsR1rsvfCSewAsUhU04bJxpxD2FtwErOjJ2Fy8FC+LsEa67IPYHnGzpp/m/url6oV+OXSf/gjdStuChmMMU7d4Wfwa1E7O/KOY3Halkbbqe18eSY/NucexctdZyGmmWstDhWfw68pVwJ9c7MUJmxm4ZbQEbgnajyfCWKRgaU0r/qv8TNll/BP5rYm24l2DcELne9DqEuAVe8LLKDYXXCgiTYi8ELnx/kMhbXvPTnKLJyVn2zQBn/dGQFHkTMej3kB/rIgmz43SlV5yFJeqHkFsNkItleDSW+vsejnNd7mz6YKdT5KVMm8HanICTKJO5S6KzNQI/xfhFTkYrGd5r6XV2lzUcHTUsWQSXzhLA2DXH2Sn5OIXBDj9bQgn7MabSY0WpatIIZUEgEnxyGoUK7g56SSSLg43SpIOwZtFowGeXWHVhoLkdN0GCs+rj7p0BdiSTcYbWzHXv0OQtpdQFFUVAS9Xo/AwLrl39i/8/LyzP4Mu93c9Tqdjv++4OCGH5YscAgNDeVrKaxtl/nwww/xzjvvNLi9sLAQKpWwo9GM0aCEoeIbyOU6wPAmxC73wliRyCa6gfK9EHmMh8jKzk+ddox6lCm+gVqTjvz8V+Hhdh/kCrZwsTsU8hRoVcfgIA0T5DFlla9AYVUe8gu+RaDLeRQqs2FAZ1SyjoV2GYLdbqx5o5TL5fyDSCxu+WNMr9iHQnkBCrEBGbIklGuLITNG83P7kn/HUH9fSMUtG+G0lOKUX5AP9l96zv/xBZIexurnKkOZhj2qdejiMbjZv8/S4y7VlCAnL5vPSiwvqq7x7ocro+3Lz/6OKSEz4efob9PjURs0yMzNhMQoxkHFEX5bMK78Tq1Gg+8Sfsb0sCnwcbQ+jYLJy89DkMYTZUXVQYuf3gNG1jm6XAGnqqQCnxz6BTeHjkZXjxir21EUlyFS10RQogPWJe5CQuoZ3BgyFJGuV57bZpNrEaVvZvCjB46knkGmIQMheYG4LrAvvB2bl3/uppQ0vx3eSQ7GKP+eiHcPg0gpQoGyeWssAtXuTT9vAKJcgnBTyDAEOvugskSBSiha9BqP1gUiXOvLgz222LpA1bC8Zn+f7rghcAgcKoCCCuvWiHTSRyJcEwRHiSO6esTjaOmJeo8jAlP8JkJdqkIBrH8/jzDGIlrXGVKRBH29BiGh7CDk2jL+GvfS+OLm4NvhWOFi9eMw8THGIM4wnM9c9vcZz9duZSqT+DlvWRAGSqbyzyZbyRCDaMNMVOjy0cPrduRVnUJyBVtwDIS6DIJDZRQKGlm30/z38lgEGl6AXHMSUZ4PQaXLRomiejAr0PVWyIvZjKUQ64NiITZ8BWXVBnh5PAud2giFnM3E6+DpNheFhebLu7aUwRAMue4hoGIdxG6PAjo3GMsPAIb86sXYZkrutpRCYd9MBULaTUBhUn8Et6nyjuauN3c788knn2Dp0qV8XQVbfG1Lu6+88gqee+65OjMULE3K398fHh7W58E2NmWql5wHdI7wd78AsWg34GVKAzkPkWcSRE5jbG7HYKiEQZIClbo6d92Aw3CvNQDt4PQbAny+tbkdNmtQJM6HRFqdRlXEHoM7YFr6VixKR2efyby+OPsQYn8L9txaE1DkOaig1WfACD3ykco+FWtokIp08T8YGvC0zY+pSH4JuqpyKPXVs1X17VIvQpRrLCJcuzXr91l63MpKBRwrHJBVZXmNz5Kyn/Bc/OvwcwyAtUrUpQgODMKx0tPQ1RrtrC0Xhfi64Ge80PkJxLpFWb02I6oiEqfKziNdmcc7WyIYkeVQ0qCk5pd5y3CjaCRmR9/CS3i2VBdtJxjLHZBemYeUytxGr03XleBgxkWMC+yPOdE3wtux+f9f95J0gczbGUq9BptyjzSZ1uQjdcMgl1AMiumJOK9ovtC6Ofq4dIPM2xWuUif8l3MIJ0ovNbiGPZsj/HtiRvhodPW0LnXH0csFEi9HhDsH4GTZRfxwaU2d874yD8yNvRlj/Pu0eBau9mvc3+iP+92n86AxR1mA509+XnOtq8QJj8fPwjDf3hDCwx4PINwlhC9Q3nB4R81rfLjfIDwYfY9gldPu83oIXjIf/jc9eekIihR5kBglmBB4C/pE9rPqPc2cKb4PwknixtspK8rA2fyt/N9TYl6Hl8z694H6fPwe4PtXsFkQD5UDEjN/4qlOwyPuhUzSeMW0lryX+/vfDSNm8vUUBmMMcvAOn53oHjqD3yacm2E0Tq5ZeC11jIFKfRRhgVMEq7pketx+fqMgkVS3Y/S4EcaKzyDyGy9IO/X7NFebvg1WVRImcfba1W4CCj8/P/4/Wv1ZgYKCggazByZBQUFmr5dKpfD1rZuPytZVfPDBB9i6dSt69eplU7uMo6MjP+pjb5JCfUDU/cWBgM9CiMregFiUBHH9WtaqJRC7XGd7M2J3hPgvQUHJ06isqttpYJSqVdDpn4HMwdaUGjG6+78PL6deSCp+H0Y2LFyLEUokl32JngGf8H+zN2Nrn9s+vnchzHUAtua8gQpdw05kYvk/iPYYxVOibNHDewRiPfpgXfYPOFu+r8F5FtD8lf0pHo79Ah4OzcuXNve4Y9zj8HLX93G09AB+SzOfA16uL8O3yR/j+fg34SUzn1vfFD9nXzzT+RGUaxV45fT7KNGYz7sv11fg/5K+wDNxD6OPd88Wt+MoluHBTtP4999dXIrNuQdYphgPJuoHFMy6vN04p0jBS13vR4hzyzpKt4aPAisAuT0/gVcoao6zijQsy9qOOTE3wUnSvI7MUP9u/MirKsHKrD388dTnIXXByIBeGBvQG708olFcVIwA74AWvcY7eYTyg/ktdVOddtji5glBAzAjYgzCXWybrfJ28sAop+rUwPV5B2v+LiwlbFrYaNwVOd7qvSnqv8YH+FbnxlcaqmraiXePxItd7kOQU8tSwhoT4x5Z871UIoFWr8VNweMxK2JqswO65vCr9Rr1dfSDscKIOyPnIErXSdDPCzfZlVnCUJdOPPtpevhz8HGyYoatEbJaFav8nOPhLPXmVZ2cHJo3q9ay9/LqzrcYMgS7TYK30yBIJfboOF+5L57uc+HsNAySFq7Lac7jZn0N0+M2utwIiKUQCdSOXfodhLTHgEImk/FyrVu2bMFtt12pqsD+PWXKFLM/M3ToUKxdu7bObZs3b8aAAQPqrJ/49NNP8f7772PTpk38nK3tXg0sFQka8wvUOM1eGHWXIJJ2srktjfYC9Pp8S/cEZQph1lLoDOU8L7Z+MGGSV7kW4apZ8JDZNiLJZpvyqk6a3cnVZHfex5gatZCXRrRFkTobKZWWF0ZX6srwV+YnmB31Pt88y1oqQxW2FWxo9JpiTSG+u/Qxno1/Ha5S6zdXW5uzyWIwUTs96rML3+OhmNkY5T/UqnYSy1OwOa86r70pKZVZeOb4J3gy7k6M9O/XonbYAu9FaRvNnmObmMW7h/P9Fbp7RqOrRxS8ZdaVv2TW5x7mqWkmbCZhpF9Pvl9EP++4mv0TbM1/ZhWc2AJwxk3qjCmhwzA1bAR8WjCr0lxpldWDL/284/F4p6mIcLV+l+LGVF6e1bk19DrcG3UzD5DsRSaWYVrYzbgx+AbYk4/MD7eH3YtBPsP5oJW9BDvH4rqAO9HJvWX/b7QUS7MdG/ymzYMxzRHt9RAcxLatoWoOJ1kfODq0fGCkpfhib+fqtF5C2oN2E1AwLIXonnvu4Z1+Fiz8/PPPvHTrI488UpNmxMq9Ll68mP+b3f7dd9/xn3vwwQf5Im22IJulNdVOc3rjjTfw559/IioqqmYmws3NjR/NafeqBxKqDTBWfAejLg0wWK7SYVQugcjjbavb0ukLUCr/CArlMh44WFKhXH15wbb1m48VVG5DYvHb0OirO0GWnC/+EAOC/rS6HY2+ArvzP0Jaxa5Gr2MzF4cLf8CIwObvUFsfy1v+O/OzJnepZbnNm/N+w+SQh6xqR61X8coxrIJMU3JUWfgh+TM82ellOFkxsre/6DDW5VbnSDdFbzRgXvJvKNPKcXPwhBalvrCqQF9f+IN3vmsvYGW7E7PqRaYNzaq/+tb8m+2o3FJsQ7ucy51vbwd3Hjh0YwGERzTfa8FU5tVWeoMeG3IP86pIw/y68Q3nBvp2Eez313ak+Dz8HT0xPXw0X+Btr52sGZVejTe734cRfr3suskhmyV4s/vDGOjTA/bGysf29GxeKqItRvmP48G9vRfQOkvcMNL/drSG1ggmGLY4u7VYu+8EuaItVlVqa/envWlXAcXMmTNRXFyMd999F7m5uejRowfWr1+PyMjqqWl2W+29IdhGdOz8s88+i++//x4hISH45ptvMG1adfqEacM6Vslp+vTpddp666238Pbbbzer3auLlbuRARJ/gAUUjalaDaPb8xCJrRtR1eqSYTCqwPZwNTa6ENFweZbCurUUan0RSqr2NysPtlxzGnkV6yCBdXXNkxVbodQVQyKSQd9ERz9JvgbRbmMQ6lp3Fqs55JpCHC/dCk8HP5Rq8mFoIlvzcMl/CHWJR2+vlq97OVC8m+cwhzlHokqvhFJfCZW+qs5IeG2plZfwc8pXeDT2eb6hV3NV6pQ4UnICg3z6Qipy4CPErIN/5Wv1bQ4iB55vzkb3TV+V+iq4tmBfgBOl59HTMw7XBw6Gv8wbbpUyRAVHwMfJU9D0EzZbVa6twEtd7uKzEEFOvnbrFBdryvFE3K0Y4tsVjhL77oDbyysak0Netesovun5+6TPY80qHWuroX7CrJVojtYIJhhbZgpbyt472hNCri0io713CSM1i7I9PT15BQt7LMpm9OpE5GetQ4DLEohF5hd5itxfhcj1PpvaMRgUqKz6Dwrl31CpG64FqCZGeOAeODhYX3GHvTQrtRdRqNyFIuUulKmP82ClPgdxAOIcFiE4KMLqPFG9QYNi9UXkq86goOosClRnzaZAuUkDMTVyUZOLCxtti1XK0hSgRJODYk0OStS5/Cvb4E6uLeTVnxi2q+3cmE8Q5Fxdcao+NorJ0iICAprOq2dlOdUGVXWAoVPyr1X6Sij51+oj1i0end1tr91uby153B3FtfiYGXrc9Pe+FrTG67w1+iAtuR+vHxwPJzf7DqS0lKpCi/eHbL7qz1F71a5mKEjjRA6dIXb1hshvDkSqlTAq/wAMdXdhNip/B1zusWnKli3Mdne9gx86XRYUyn9QofwbWt3FWlcZUKr4GgE+X9s0guYmi+dHtNeD0OhLUVzFNrfbyb+yNRYMS4sq0GxCMB60ui2JWIYA5+78wOU1ypXaAuSrzqKg6gwPMIrUF3g5xMNFLPXpRevbEkng6xjMjzjUTQfQGbQo1eajRF0dbCRXHEegU5TNo4lsFN9Z4sIPHyELoBBCCCEtpDeK+dGWtLX7095QQNEBicReELk9CLjeD6i38bUT0ByqPqnPBNS7AaexgrQllYbB2+MpeLk/CY32FJ+1qFCugsFQjArlSnh7PAsHqXXlQuuTSbwR7HYzP9imTHLVcRRW7URh5W4UKLahSjsZro7hEIqrQwBi2OFe/VzpDGoUqy/w4KJKV8qrlwiNLcT2dwzjByGEEEJIe0ABRQfGq0Q4TYDIaQKM2qTq2Ymqf/lXkUABxZW2RHCU9eaHr+ebqFLt4sGFXPET/Lw/hNBYjXNv54H86OT1PDJFZ6EzVMCe2OZ2gc49+UEIIYQQQqpRQHGNEDl0gcjz/2B0fwGoWgmjoQQiO5XYY5vwuDiP44fBoERrcJT6w92GTdoIIYQQ0jpYvT5DG9vYjt0nYj0KKK4xIrE34Dq31doT27hvAyGEEEIIadtoBQohhBBCCCHEajRDQQghhBBCWg1Veep4aIaCEEIIIaQdMBob3xSVkKuFAgpCCCGEEBs6+UVVB/lmrPai1aWhoORZqNT77dYGIbaglCdCCCGEXBWsE27rxp2WlGvzcaF8B4KcuyLMpbfgv1+rlyOz4h+kly9DgMto+DkPEb4NbQrfJJbt6yQR+8Df+1N0BAajiB9tSVu7P+0NBRSEEEIIqcNgNEAsEj6JQWNQ41LFOSSVn0S5thT3RD0FCSSC/X6VXoFLit1Ikm9DdtUpeDgEoa/PNAhJobmItPI/kV2xFgajit8W6T5L0DY02mSUKb5ChfIf9tfgt7m5TK3eX4qQNohemYQQQsg1TK1XI12ZhbTKDKTyIx1Tw27CIJ9+gsxA5KmykKQ4yYOIlMok6Ixafu6JTm9BIrI9mNAZNEitOIjz5duQVnkY+su/nxnoexckIgdB0prylTuRXv4HilWH65zzcx4ON1k0hKDRXrwcSKyuCSRM3FymC9IGIfZAAQUhhBDSRrAOuFxTgdyqYqSVFKFYU45CtRzFajmK1HJIxWK80vUeuEidrPr9Sl0V0pWZPHAwBRDZVbkw4kr+/wi/wTYFE0pdBS5UnEFS+QkkKU5Bri1pcE0/7+GIdetqdRsGox7ZylNIKt+GS4o90BgqG1zj6RCMrp43QKi0pipdttlrojzusqkN3o4uGwUl70GpWsW3WKvPQdoFMofu6Cj0EPOjLWlr96e9oYCCEEKuErVeB0eJfd+GyzUqKPUaBDl72LWdQ4Vp8JI5I9bdn3d67aFIVYHteYnwd3KHn6MbP3wd3SAT+DncU5CItMpCGIzGy4cBeqOBd7r1RiPv9OthqHOenRvk2wmjA7s1q40qnRob8g7yIKH6KKv5XmfQI1Lng3RpCYyiK51LF4kjvur7dIuCiUxlDk6Una4JIHJV+Y1e7yfzxf1RLU/fSa+8hETFCZwvP4l05aU6AUp9jmIn3BLS8k44e96L1Mk8iGBrIyp0RY1eXz07IRUsrckcF2kE/J1HwFoa7XmUyL9CcVkK3D3PQFTr712bu+t0u601IUQIFFAQQgSh1KnhInW0+7N5tDgd4UbrRmebK6uyDGszT2FO3DDBO6u1fZ+4G6WaKsyNH4pINx+7tOEkdcDEzT/w3z8prBvGh3axS3Ch0Kowe89iOEsc0M0rCD28Q9DLOxQ9vUMQ7uotSGfI19EV+wuSsS0vsc7tng7O8HOqDjD8HN1rvmfBhin4YI/fQdy8v2WMWyDeP/MPSjUNR70tGRXQFUP945t9vbPUEVKRBH9l7mhwToSGz5UYIrzebTai3YLREt4yT5wrP48TZWeavJa1+3inB+AidUFLqQxKHCrejjIzsxH1TQiaBk+Hlr/e9UYNzpfvwImSVTBA1+i1ng4hVs9OVOnycK74wwapTeZEesyCyMq1JmrNSeQVPwCdLg9AY7MPIr5+gpC2jAIKQszQGbSQim3Pu20KSzUIdW5ZB6GlWOpEckU2Rvj3sms7a7MSwMZpZ0UNt2s7Cy7uQazRDY/7ToarzD6BRYCzO749twtrM8/g7T6TMcg/yi7tDPCLwNx9S/FX6nFMCOuKhzsPQzcvYV8PMrEEt0X2wi8XDiChOBPvn9yEfr7hmCxwcHF9cGf09QnD8ZIs3g47TDxlzujpFcKDi54+7Gso/J3cWtwGC0re7H0zTpRmolhdUXO7XFvFj2RFodmfeyR+NB7tPKbZ7YS6+ODzfvfi0cO/QG1ovOPKXB/UA+/1mgmpuGXrAW4JHQEniQyfJy3j/+805rG4qRjo2/IUITepK17s/AT+ylyD1TkbGr321tDJ6OIRB2t0du+F/3X+FKtzFuNwyS6L1wU6hmKU/ySr2pCKHTEi4EF095qEPQU/IbXigMVrB/vdDbGV6zOcpUEYHPwriquO4FLZPIuBhUTkgjD3W2EtR1lvRAQdhKJyHVSVWwCcNX9/HEdCKrHv50RroypPHQ8ljHVwBsOVD117YtPDreFsWeMfiEJg0+q/p3/L0xjsqUwjx4eJX6FC1/xRUGukVebi48Q/cEFxpYNnD3KtEl8m/YdFKZY7E0JgKUKHi9Jw377fkFnZ9GiotZ3wMFcvpCiKcO+exXj56BqUqpV2CSgcxBLemdyQdQ63bpuPOXv/5OlDQta0nxFdNx/+2OXAYtT6r3HHzoVYfOkw8qrKbWqDdfZf7DnO7Dm5pgp7C5Ix7/wePHZgOUau/wJjN3yFZw79jazK0ha14+Poinf7TGnWte5SJ3w36E483uW6Flcs6uEVjpe7N91ZnBjcx6pgwmR80CDcEWH+eTO5NXQkpoRan1bDHvvt4VMwxGeAxWtiXaMwNfRG2MJZ6orpYXMQ5Wp5pmZq2H1WpyGZeMvCMD74f/CWhZs97+UQis4e18NWvs4D0dv/IzhK/M2eZ8GEg9jdpjZEIge4uUyBp/sjEIu8zF7j5iJslSpC7IECig7MaNQhr/g+GI0au7ajMyhxOO9hqJvIZ7WVQluAbXlfIrfqnF3bSVdexCn5YRwo3mbXds6Wn0exphQLUv4QfEOk2r8vXZkPlUGDN07PR6GqTNB2WF65Sbm2in/9/sImzL+0TdDHpNZra36f4+WZowvlebhj98/YW3BR0LQdjaF6J9ooN9+a21dnnMTELd9jZdpxQR5XibqSp1VpDXr08Qmtc25PfjLu2f07Zuz8DVuyk3iOvrXylOU4XJiOS+WFCHMx31kRIrjIrCzFmoxT2JZzHi6S5s3seclc8EDcUIS5eje7nbSKIsy/uBvzL+5p8tpO7gFYNuohjA7q3Ozff6WdAnx67l98dm5to9fdHNofb/WabnUwkVGZj3fP/IY/M9jotHkDfbrikdjmBVCW5Fbl471zn+NgyVGz5x3Fjni80xxIm5kSZkmROg9fX3wTaZUXzJ7v7TUE8e49IcT+En+lP41SjflBksF+91g9O1GbSleAQ3kPQK03P/MlVKlYvb4YpeWfwWBs+P4sEjnD1dm2QI+Q1kApTx2I0ahGhXIN/Iz3QAwXKCr/hEq9D0rVdrg6TxSsHYNRh4ul3yPK8244Snx59Qu1vgAZihWI835MsHZYx21v4c/o6jkefo7ROF22DkYYcLBoEW4L/1jQdtg0PZuy7+bRF8dKq3ciXZ+7DL29BsNNKly++aK0ZfCV+WBy8DicLU/it7EP+b5FPTHKf6hg7fxwaRW0Bh3ujhqP9EqWnwuUaMrxxpn5+LLPkzx/WwhfJK5DSkUBpkcMRqnmymzYz5e28Y75o3E3CJI7/1XiVmzPTcLIwDgUqMrrBDGPHfwDj3cZiwfjRtpcN39e0h4svnQI0e6+UGjVDUbZXzu2FqvST+Ltvjeik4f5Ucvm+PXiQfx8vvEdb0+WZOPxg38h1t0PD8YPxSBZQIvbWZaagB+S9jb7ehZcsIOlYH0+6DbEezavzX8zTuHbxObNTLlIZXi62xjcFTOoxYu3t+ScwzdJTQf6k0J74u3et/C2rLGnMAl/ZRxs9Jqp4YPwv2632PSaO1ySiD1Fpyyej3YNwmvd7oXEyoDF5KT8LJIUF2vWSUhFUmhrlVa9N2oGgp0DYasLijPIrkrj3zuJXeAidUWJprozLhM7YkrI3RBCtvIkSjQZ/Ht3aQA8ZaHIUh7n/2azFvEeYwVpp0SVgEptOv/ezSEWvk6DkK5YKnipWJUmAXp9Af/e0aE33F3vRlHZi/zfrs6TIRa7oqMxQMyPtqSt3Z/2hp69DsJgUCCveDbfTbOw9CnoDaUoKa/udCuUfwnXjlGHU4WvIVn+Cw7lPgClNhOp8t/4ORZQGGp9SNlqf9GvOFbyF/5KfwbpFUdwpmx9dTuVCchRms81tcahkh3YXbgBv6R8jP9yl+FEWXVHQqmvxPrc5YK1c0aeiI152/FHxt9488xHOFF6ZZHkwrSlyFeZHwVrqWxlIdbm7MN/uQcw+9AHOFh85bliayk+TFxSZ2bBlkXY67OPI6EkBa+cWIoteafrnF+YshPfnN8gyIj+nvyLyKkqw/K0IzhRUt2RMGHVZL5L2o6nDy/jMwy2uCAvgM5owMXyQouj9EeLM3Dbtp/w5dntqNJZ93qvqBesNCZZUYRXE9bijWPrsCT5CJS65s84uju0bI0JWwPx49CZWDPuoWYHE0y8R/M6ozeEdMH6cY9hdqchVlWCGhUYX9MpZtWk6pOIxHipx0R83G+a1cGEaeZBJpbCw8EZd0aN4L+3tjsih+GlblNsDmBvCRkOf0cvBDn54OWudyPS5crz6CZxxrs95sLVyvKwtY0PHIN4t1iEu4TivR6vYJDvlRS4Ad59MNbf+nSq2ob6Xs/LwYY6R+H5zh9ilN+VtRI3BN4Gb5mfIO2wQaZBvnfB3zEWMyK/wTD/+2vODfK1fu1EfSFuk9DT7x24OcTxNRXx3k9CejnFSYhSsSauzuPh7f4sZA7dEOS3BO6ud8FR1p+fo70nSHtBMxQdhE5fAI2WpQKFQFm1Adn5J2EwVOeXK6u2Qm8og0TsZXs7BgXkmuoOaoU2GXuyp0JvrE51UeuLkFu5GaFutk/Pso2J8qqqK7mw+uKrs16pc57NUkyN+ARCyFSm1Hy/NX913XaKt2OI73WIcIkVZAE265iwznxyZfUonkmVXoXvLy3AW91ftHmjp5yqIrhLXVCmrYDGoOVHbQeKz2B+8lo83Mm2NIoClRxhrr44X55j8Zo/0vZCY9Dh+a43Wd35qtJpEOcRgEKVgpc/tWRn/nnM2v0zvhw4E3HN7ODW18M7GJU6NS6UF6CykY671mjAT+f34r/MM3irz2SMDOrUonbYomg2g8MCC5bi1FhbDJvj8XWqHqVkAUVzO8v9fcPxdLfRPLDYlJ2II0V1gzGTUYGd+IJwtqbDmhmlPr5h/HmI9wjA2bJcfHBqU53zIc6eeKPPJIwNbn4VJEuBy0f9pmGwXwyfnZqy47uac6yi02cDbscAX9sX0HvJXPHNgPvRzTMMThIHrM8+hjJt9Rqae6JH4Yn4CYLMvMkkDviw1yMIcfblFagOFJ3hKYosmLkr/Ab4O9n+ns2w//eejX+EL9BmaU3dPTpjX9EheDl44sGYewQrR8p+z4ywB3l7DmIZT3Fak/M7/BwDMcZf2LSdIX73YYDvLDiIneAq9UWAYxx0RjXiPZq/+L45wt2nItTtZogvb44X5XE3cir+s6lUrDmOjr3h778eksspg75e7yG/6AG+IJuQ9oBmKDoImUMsAn1+hQjVHQ2dPqvWWQ0qlf8K047EG4ODfoOrQ/WHtimYMGG7iAqB7Ww6JewDdPa4zuz5TOUxZCvrjohbiy0inBn+EKRmdlNlo98rs34VZIH2hKDr8H89XkekS5jZ8xcrUrA62/ZF56wSzKLBr2FGuOVp/7+zdmJ9juUKKc0R5RaAxUMfx/zBrKNieRSVpY58dHaN1c+hs1SGLwfegT0TX8L1QY1XuUmvLMZde37BxuymS2Sa80z367B0zAP4oH/zgq0sZRke3P8nXk34l+8p0Vy3RPTEB/1vxqu9x0OlNz/Lwbp4rIP/eu8J2DHxKbzQ43rcHTuQl0RtSUf/8a6jcG+nQXw/ivplSG8K74411z+I+SNmYaB/pNUdS1axaVbMAPT3i0Cx+kqRAYlIhDlxQ7HuhkdtDiYYdv9uDOvFn4Paz1tv73AsH/WwIMGEST+faB5MMO4OzvzrnNixggUTJpGugTXlbCNdg/jXF7rMQphLy1PcGuMl86xZI9HDowv/+mjsffBwsG1RcX2OEiceTFS36YMY1y64LfQ+wavmsb8BCyZM3/f2vlWwtRP1mYIJJtrjHnTyetjqUrGNEdW6706yvgj0/aXObR2J3ihqkwexHs1QdBBs4bVOnw2x2NPseYXyb3i43StIWyp9HhwlfqjU1h1lZ8rUp1CmPg0vR9sX3mkMSjiILHdUDxYtxrSIT21uhwUNar3KTOX3ahnKZBwu2clnKmxVpa9Cmdbygtd/stahl2c3xLnH2NSOzqjHqbLkRq/55uLfCHL2RT9v6zt67IN8Z/5ZVOgaTzVanXWEL0B+vefUBukjzXW2LAc78qrXnTSmSq/Fiwl/4XRpFp7tdkOLF8yy+8nSmSxhneTOHoHV+yz4VO+zYO1mbivTTvCN0kzYa5B1yieGdsWE0K4IdK7u7BkMBhQo6gbvLVGoqsD58oKaClbTIvtgTvwQRNhh74u0imL+tY9PGN7peyM6e9qem2+OKaCYGTWQpzk1d48Ja3g6uGByXF/MibX9PaAxLOXpvujJGOXfGwUF1X8ve/B38sPsqDvQy8v+Oy9PC3sAwc7mqzEJia2bsLV6VHM4SDwQ5m7b7G5zOTlarspFSFtDAUU7x6pDlFcuRnnFIuj0hdAbzH9AqDVHoNWlwUFq/QgeCxQuls5DYdXuRq9Lk/+BPgEfWd2Onq3TKF3DAwaW7mQJW4SXpTyJECfrg5didQGWZsxDcmXdjbLqW5ezFD09B8FV2vLa+QxbR7A1fxcWpS9rdP2CAQae+vRhrzfgLLEud7pUo8DLJ39ESqXlVCSG3Q9WYebrfs/wUVJrrMw4hCVpTVfcYf7LOQatUYe3e97e4k4+S0N69fg/vLyqpW4721Ct9qZmLKXoeEkGBvpFt7iTb+oUM2xDNNMGbezo6hVUM3JtC/b8/5V2wmIQIaT9BSlwlcpwZ8wAzO40iO+zYS8laiUPJG6P6gexHXf2Zeso3u9zG6ZE9IG9PdVlEvp422cvkvqziyPFvQWv+mbOxCD7BkcmrRFMMNLLsyKEkKuDAop2TiR2gVjUvE4uW7Dt7fG8Ve0YjQZUaJItls+rLbdyI7rqXoCj1LoFeAWqC8ioPAatoekR2YOFizA1/DOr2tEaNNhW8C/yVLXTw8yr1CuwMW8FH22zxml5Irbk72xWCdB8dSEWpy3Hw7GzW9yO3qDH/JR1UOiUEPMqGo2nGVXqVXjj9C/4tt8z8JS1LFhKqcjHmqyj6OQWBD3r6huNvJPMZnzYqDtLceK3sVuMBn7bgcIL+PDsarza47YWzVSszjiOKDc/ntLi5+iKQI0MXv6+NbsgsyDCVYDKVez+J8nz8Ey3sTx4YLMQbFM2e2BlYx+IG2K3IKK2aDc/7Jr0NDzstBFgbd8Pmdkq7fT1jeBHa2iNYIJxllS/hlsjoCDkaqKN7ToekZHeuVpFeXk5PD09IZfL4eEhXBlSE4OxCnLFn8jM2gxX970QiRp2JKWSKIQH7bcp/5e9XErVx/laibzKrazraPa6OK/HbC4hq9SV4aJiF86Xb2t074nbQj+FrDIYAQEBEFuRdsI6vqzUYVL5SSQpTvIa6uY64mxE9Pn4DxHqYn3nQq1XI1OZjdTKjMtHOjKrcqA3Nnwen4l7GIN9+1u+3ywNpqDA4uNmnWM2W1GslqNQXYYitRzFmurv2W1Flw+2R0UPz2h83Psxvhi0rWvqcXdE1+JjZuhx09/7WtAar3N790Faej8e3j0Njm7CrquxlbpCi59Grbzqz1F71fZ7D6RZxCJneLrdjyrvG+Dsug3lld9Cr8+tc41Onwa1JsGmvEwWjPg49eNHlS4PGeXLkan4GxpD3d1uWQnZWC9W7cP6NwwXqRd6e0/hR5kmB+fLt/Pgov5mRoeKf8cIx+qa3dZgFUnCXWL4cUPQbajSK3FRcYYHFyzIKNVWb9jHRt7/zv4VT3V6x+qgzFHiiE7uMfww0Rq0yKrKQUpFBtIuBxkZyiz8kvI7X0vhI2v+xl+1sRkAP0dPfnRGhMUAsVKnQpGmDFU6FWQtnKUghBBCCKGAooMRi2TwdJsNL/c7oahchlLFN9Drr+TSsz0phFro5SwNQmefp9HJ6xHkVm5AWvkfKNckCl5ClvGShWCw39289niB+iLOy7fhfPkOKPUlyKk6jSKkIBDCLP50lrigl9cgfrAOd4E6pya4SK44h6OlezDQZxSE4iB2QLRrJD9MdAYdsqvyUKGrtDqgaA4WGLk5OPODEEIIaQ1GoxgGo7jN3SdiPQooOiiRyBEebrPh7noHFJXLUab4hleBYuVj/bze5eeFIhE7Isz9VoS6TamTDsW+ChVQ1O4ABzrF82NEwEPIVJ5AUtk2JJfsQzfjEEHbutJeKD9G+0+GxqBBoarxxc5CYOUdI13Nl5clhBBCCGlLKKC4JgKLey8HFit4YKFUbYOr82Q7tFU/HWoFKrUZcHWwz8JJVm880rU/wp37IleUDSNf92Dfmt0yscymNRSEEEIIIR0NBRTXCJFIBg+3u+HuOhNa3ZWdoe2lOh3qKbQWidjBLhsaEUIIIURYeoj40Za0tfvT3lDC2DVGJHKAzKHz1b4bhBBCCCGkg6CAghBCCCGEEGI1SnkihBBCCLEB27xT1ILNOlvKYNSgTHUcPs6D0REYjNWb27W1+0SsRzMUhBBCCOlwWNnvbGW6XdsoUqdiffa7UOgK7fYYCpU7sD/rZpSrz9ilDUKEQDMUhBBCCGk1OoMep+RJ8JC6oZP7lf13hKLWq3C0dC92F25CT88BCHURvo1idToOFS3GRcVuBDt3g4eDMPsg1VahuYjzxR+hRLWf/9vPZYzgbRAiFAooCCGEEAKtQYez8kycKkvHjIhhcJLIBHtWDEYDEsuTsbcoAfuLjsMII37q/66gz3qxugB7ijbjYPFOVOkrIYYYI2LHCdpGCQ8kluCCYiebP+C3dfEQtg2NvhQppd8hS7EcRuj5bc7SMLg6xKCjMLTBje3a2v1pbyigIIQQQtowvdGAHGUZkhWFMBiNuC64i2C/93x5NhJKkvlxsjQNKoMWc2PHCRJMsHSd5IoMHkSwo1hTVnNudtRtcJY6CdLGhYqz2FO4CWfkCTxQMentNQheMl8IoVSThUNFv+N8+faaQIIRQ4I4j1GCtGEwapEl/wvJZd9BZ5DXOcdmJ9heT4S0VRRQEEIIITbQGvSo0KohFYnhLrO+k6wx6JBRUYJL5QXIyctDYmYZLikKkVZRDLVBByeJFMtGPWjTLEFKRQESSi7xAOJ4aSoqdKo610S4+OGeaNtSazKVedhTeBR7i44iV9VwbYG3gwcmBY0SLK0pT5Vl9pqR/hMgRCBxuGgJDySqN0+tK9JtEJwlnja3U64+h+ScL6HUXTJ73t+Z0p1I20YBBSGEXCVstFls51FHhUYNiUgEFwfh0lfMOZKXhQh3LwS4uNptJDVZXoyLZcXwkDnCnR0OV77KJBLB/iabs86jVF2FCp2aP3/sa4VWA4VWdfkr+3f1wb5X6XWIcPXC8nH3wr2Z7bAZh6PF6UhRFCFFUchnHzIqS6BnrwkA8fDABZTX6cK+0etGxHu2LFc/s7IIRy/PQBwrSUaptrLR6//X7TbIxC3vGhSoirGHzUQUHkWaMrvRa6eHT4CjlTMg9dOaLAlzjkKMq/V7LpVpcnggkVS+1WwgYdLF4zrYolKbivNFnyC/LB8S9xSY+19HInKBt/NAdCQGiPjRlrS1+9PeUEBBCBEESz1ojSn5/EqF3d/2lVoN1qacx4z4HnZ9TPNOHIZGr8P9PfrBy8nZbu2M/PMXDAgKw6SYOFwXEQsPR0fB20jIz8b0dUvh4+SMbj4B6Orrz7928w1ArJcPHMS2d/gDnN0wZ9tKpClKG5xzlEh5YOFRE2jIaoKNeC8/PNBtYLOCN3YNCxDeOLqhVmJL4wKd3bB47J38/jWXm9QRqzNO4GBharOunxrRF7dF9kVLXVDkYN7FjVDoqpq8dnJIP/T3iW1xG1U6Ff5I/xe7i442ea2fzBs3BA6HNfJV2fg5+VMUafKbvHaU/0Sr/99NrTjEKzfpjOpGr5OJXRDtNhTWyiz/E+eLP+QzR4Dl4MfHeSjEIvsOCBBiKwooCLmKWIqDNaOBLXWuLBfdvILt2sbx4mzkKRWYHNHVru18d/oAIiDDXH9/u7XhLHXAOwe3YW1KIj4cMQHh7ranNJjTzdcf92/4B/NPHcXd3fpgTq8BfIRfSKxTPT46DksTT2FT2kXIxBKMCIvExOg43BDVCd4CBTL39+iPP5JOIkMhx96cdH6YsDbjvH0bBBqejk4tfizfjZ6Cqet/h8ZQvVjVRK3X8aNIVXfUuodPIJ7rM7JFM0G3RvWAUqfBG0c3Nnmtt8wZi8bMQribVwseCeAhc8ZPQ+/GuyfXYWX68UavjfcIwGu9JsEa1wf1Qk+vSLx7ejkSSlMsXufp4IIn42+0qg22FuLZzvfjhqARmJ+yAunKHIvXzgifBAexg1XtBDqF4tVun+FwyR5szluFEo35Uq2uUnf087a+ox/tNhj3xS7G6dJ1OF32H5T6ErPXxbqNgIPY+hS3MPdZcJd1RY5iDbIqzKc6Mf5U3Ym0A7SknQhCb9S1yjNp6QNEaHsLE/iIu729fXo5r6xiT4UqBR4+sAQFVeV2bSerQo7nDq7Brtxku7bD/ir/pibi+b3/8ZFke2Ajm2FuntiTnY7xK3/Db2eP8VQYoQ0KDoNULEalVoufTh7BiD9/xht7tiJLUXdBpq3u6ta75nvWEd+ekYL/7dqEAYt/wN3r/sKScydQqGw8FaYpbIbgtcHm87xZm2eLC/DXxTN49+AO3LF+OXr9/i1u+/cP5FdWtKidHr6BeHPQ9c26dkJEPFZMvBNBrs1NRLrizk798FT3EY1e4yaV4dcxdyDO07rgls3avNvnFkwM7W7xGhepDF8NmgFnqfUj1AFOnviy/wPo7B5q8Zon4ifDS2ZbMNvDMw7v93wWvjLzwVWQkx/GBgyxqQ2JSIqhvmPxZNybcBKbD4aH+V4PB7FtI/quUl8M8Z+NqRGfQCIyHwB19mze67Cx9xkvp77o4vsmYr2fYLeYvc7PWZhF322J3ihqkwexHgUUHVxW+Qq+g6e97cj7Ghq90q5tsGnhBSlfoEjd9HS3Lar0KvyQ/CdOypPs2k5aZQF25J/GH2l77NrOyZIsFKsr8cLRlbz+u73kKOXQGgx4bO9KHCnIEPR3mwvu/k1LxJ2blqKoyraOcG16w5X/V1hAwSh1Wrx9YBtuX7cUyWXmRypbSqXTQqvXw9VBhr4BV2aONHo9fj93AmOWLcALOzbY3F65Wo1LpcVQ6/QIdWvYqWb5+nuz0/H6nq0Y9Ps8zFizDL+eTkBORcuCzxKVEtszU3C+pAiOzVzLMKtzLyyaOB2Brs1PEyqoqsDipGM8oGzKIz0GY96YW61aO8Jm2j44vg0Lzh9uNID6ZdQM9PKxfuYvr0qO5478hY3ZZy1e817fWxDl5gdb5KvK8NTR+TivML+2oY93NG4M6Q9bFalL8frpL+tUc6ptZviNkAqQ+ibXlmLepQ+gMjRM4+KlYv2EKeNaqSvFv1mvQ2/UNjjnIvFBuEsfQdrR6uVIL1tQq3rUla6Zh6wHHKUBgrRDiD1RQNGBsE5Xmep4TQDBNsVJKn4f5ZqzgreTKN8CnaE6vzRbeRpn5RuQXLEPQjtQtB0KbfVo7Wl5ArKq0rCncLPg7WzM3Y2My9P0uwuP8KDiz/S1gs9S/JWxD/sLqwOVnfnVf5ffUrYhU1kkaDuLLh3Awkv7efWZEyWZ/Da2APSbxB2CtvNT4gG8dmQ9UhUlyFVWd0LZrMHcPX/hTEmeYO18e2o/Zm1ait+TjkOuvlKV5lhhDm5d/zsulAozc/XV8f0YuvRHPLRlFbIr6s4SHM3PxqRVC/HDyUPQ1Qo8rPHdsUOIm/8lui34GqcKGwbI7Pf/feEsxi3/FY9v+Rfniq17fD+eOIxxK37DtDV/IrtC0ei17JV+OC8L7+7fgTkbV+F8SfPb/OX0Udy/aSW+OLYPan3jQWuEuyf+nDwDH42cwNc7tMSCc0fx5qEtOJxf/Zo2h1Va+mTYJLzcf4zVC94XXjiCBecPoVKnsdjG98OnYlBABGzxR8phbMo5Z/H8HVEDMSm0B2z1T+ZBnChL49+zFEsXyZXnXSqS4KVutwmyVmhL/r6adCdvB0+EOl9ZQB7uHISR/gMghMPFu1CgzuXfBzmFoptHX7uUir1Qvh3l2ur3MbZ53QCfO2rOdfYYC7FImEIABZVboDYU8+99nIagp/8nNef8XEYL0gYh9kYBRQehM1TidOELSJX/grTy+TAYdThb+BqM0KJIyTbgEYbBqMfO/G+xOfdjbMz5kKc67cr/np87X74NQtqa/y+WZf6C7y69h3JtGTblreS3HyrZyUsGCoWVN/wpZTleOfUFTpWdx8bc6hmDixXpOFp6RrB2WI33r8//h+ePL8Q359dhe/6pmnUUnyWuESx4ya4sxdeJ2/DJmc2YtuNHbM87X3Nu/sW92Fnr37ZgOea/JB7EsuQTuOG/H7Em/Urgyqrf3L9rKS7JhQmU1qYm4kBeBt44tBkbMs43SLWatmEJdmVbzg9vrtNF+cipVGBT+iUklTa876yz/PGR3ZiyZgnOFls/U2YKitjsB8v7t4S9Iv5LuYBb/vkdXyfsx7H86k5Uc3m2cPF1n4BgzJ9wG9ZPuxedfZqfxtPDr+nKQ6y7OqdHf2yaeh+Gh1i3c/GNkVcWrrKF1vV5OTrh9/EzMSOuF2xxX/xAOIjFcHNwxMNdh/I1ILUfx+dDb8HYkE6w1cPxI+Hv5IZgZ098M2gmutda5xTl6oMXut8AIcyJHYcuHqGIdPXHgsGPY3zwlZH1e6JHI8pVmBHwGeGTMcinFyJcQvBJ7xcxNfTK/Z8VcRMkImG6HOMCp2CU/wQeTDzR6Q1MCb0LosvpQkKUijXp4z0VI/0fhrcsHDeHvodBfnfD/fJsga3pTrWFekxHpMdsuDhEoWfA5whyuxEBLuM79O7Ypo3t2tpBrEeLsjuISm0yCpVs9DkGyaXfoUKThHLNaX6uULkLsd5PCtJOha4IF8qrR7mTK/ZiRfpTKFRXLybLqDzGp4hdpd42t8MChkPF1YFQniobHye9hApd9Qh4lV6JI6V7MMLP9g9b1onfUXCQf6/UV+Gds9/CUKu2y58Za9HfuzvEAnwQ7ik8xzeSYpam761z7nDxRWzJO1nng95ax0oya0bQWQ37+l5OWIWVYx9BqEvLFpHWd6m8uGZUkz1jrHxmbSXqKszeuRTLr78HYS1csFqbXKPi6SWNUWg1uH/b33h70Djc26Wf1W35ObvA39kVhU2kUZ0pzsctq5fgkd6D8FTfoU3ev/rYAuXR4VGQq9U4V1zAU52acqm0BH8mnkCgm1uzF4n3CgjCvd378MXP+7IzcCzf/GLZYSEReKLfEAwNCbdqpHpAQCie6zecBxZsUTZLEautk5cvPh01Ef0CQmCLnr5BeHfwDRgbGsPXngz9e17NuWgPb/x6/XREe/jAVkEu7pg3YjoG+IXxfSU2ZiYhvaK6stT7AyfhpohuEIKbgxN+HHIXotx8+RoJVvHpbFku3KVOmBM3ArIWvq4sYbMSH/e5F+5SZ97O2MAeWJ11CGEuvpgdPRZCYQHDs/H38fc5V6kzhvv1x29p/yDA0ReDfa+s47EVe41ODZ3NU56cJS5wd/BEX++hKFDl2FQq1lw7/XxvRy/vWyAVVwfnIwMexoGihQhwjIOQfJwHI95/EqSXy+l28X0dldoUeMiEea0RYm8UjnUQno690Nnnxcv/MqJAuanmnEJzFipdgSDteDgE4uaw9yG5XMKuQHWh5hyr1W0KNmzlKHHCE3GvI8CxesTOFEyYsM2MhBjRZx8Yr3R9GKP9q2t81w4mmLTKbBwoPgEhsEWPb/S4Hc4W6q9/dX4dyrW2r0O5ObwXVl33KAb7RZk9X65V8bxtNjNiC5Y7vufmx/F2//F8NNecvCoF7tm5lOe+W8tT5oR1N9+HXbc9hH7+ljukbNE0S4d569AWq1OSPhs1CUfveox3fpuiMxrw3YmDmLxqMY4VWK5qY869Pfpi0eTpmD/x1kZfx75OzpjVpRd+nTQVX1w3GZ+NmdSiilNDQyLw7ohxeH7gCLOLysdFxuKfW+/EnzfPwLDQCKvTXtg6iKf7DcP1EbF8fUjt1KAn+wzF+tvutTmYYNj9YwFjuHvdAHVoUARWTb5HkGDChM1AmDapC3Hx4F9f7nMd7ohteenWxnT1Cq5ZcN3HJ4x//b9+t8LXqflrS5q7MNvUTj/vGB5cvNj1VjhKrKu4ZImTxJEHEwzba+K6gCF8dkKIQZn6rwUWTJhMCJqK0f6T7FLm2RRMMJ3cR2FM4BN2aUcsuhJAOkr90S9oPkQCP2+E2Au9UjsIvUEFB7EXJCLzVS+KqnYJuteAj8x87rCwaU8iRLjEWqxHfkEhTDoS+6CLdYuA2EKFjaUZ62pmFmwV5OQNN6n5MoOlmgrMu3glELSFt8yF76xryenSbHx2ZovN7bCR+YyKMr4Y25KMilI+U1GmbroOfmPyqypwoqjplJ9FSccwd/tKviGZNdi6kx9PWl6Ma8JG/YcEh2N0WBTS5KX851pqRdKZBs9doIsbZnfvi6U3z8Dhex7Fh6PHY1RYlMWgrbmLs08VVueCs1f5TbGdsWH6bMyfeBv6Bdre0a/NVKGKVWP699a78cKAES2ewWmJmXG9sGjcDHg52m8fj2AXDzzWbRge7GJbhaKm9PEJx5y44RgTFG/XdtjC6Ld7zsQgX2FH2c2ZFjaBz/LaG0t/Gugz0u7tsM+/CFfbF7A3h5O0ZZsYEnI1UcpTOydXn0JW+XLkV26CzlAFvbEzzC0TK1LuQpj77Va3ozNo+OzDydLVKFBftHhdvuo8SjVZ8JZVj7RZW8FjW/5a7C/aCq2Z6homuws3orNHT9jijPwCfkn5q2ZBtjnZVfl8ofbYgMFWt8NKw/5yaQuWpO2GsZHtslgawqSQfujlZV2OOcN23X30wJ/IVDbc/Ku2JSmH0M83otGSlU355swe/NpIJRyTC/JCPLBrORaPncXz0luqWKXEk7v+rd5ZuhnX78xO4esqFlw/HeGXqzU1F6uylCyvW10pysMLXS/vndDNx59/DXZ1t2mUklWU+jPxJP8+1M0Dk2PiMTE6Hn0DgwXfPftwbhb/ndPju+ORPoMQ4yXcSH59LF3spYGj8FDPgTwtyV7Y43ml/xg81H2Q3TdUnNtlMOKtLA3bEiwN8emutu283FzD/Lu0SjseDsLOtDSmNTbWJALulN3GyrTSTtm2oYCinXOWhkMicoLB2Pgi5ZKqA9Ab1JDUmrptCVY2r0JXCLm26RHiJPk2DPWfbfUMyDn5cZwrP95oMMGcLT/OS8j6OFj3QZ+lzOOzD40FEybLM/7DSL8BVpU8ZI/p15Tt+DvzQKPBhMnH5/7BoiFPWdWWqQxlU8GEyRvH16CLZ6BVZSnXpp/FootHeceuOXs0nCzJwSN7/saC0TNbNGLNnr+PE3bCTSZDsGswPBwcESN2Qi9nGdwdnS7vinz5MH1/ecdk7xZunFap1WBnViru7NKrJoDo4u3P2xbaxdJi3BLble9ezdYe2LMzxBZn77pjLkLdq1N37IlVb/JxupKKYi+BLu54uIf1QX5LdPZqnbKd7DXAqi4ZbKwiRgghrU1kbI3duwT0ww8/4NNPP0Vubi66d++Or776CiNHWp7m3LVrF5577jmcPXsWISEh+N///odHHnmk5jy7/c0330RCQgLS09Px5Zdf4plnnqnzO95++2288847dW4LDAxEXl7zy2KWl5fD09MTcrkcHh7Cf6jzErFFH6OwsAQS9/MQiRp+IPUN/AV+Lo1v1NQUtb4Cx0v/wfGSldAYzC9c9XQIweyYRTZ1kNieE0nlp7C7aBMSyy2vYRjjPxlTQu5CQUEBAgICILZiRLRQXYJ9Rcd4taeUSsvlKB+NnYXxQdY/f2wPiHPlWUgouYSE4mSclmdYXMfwWNxE3BPdeHUP1umw9LgrtCqkVBQhRcGOQiTzowhZlaUN1ol09gjE0tFz4WRlLjV7C6nSa1Gh1UChVV3+quaVnthh+p4tnGbfDw6I4DsRW6uxx91RXYuPmaHHTX/va0FrvM7t3Qdp6f2Yse0eyFyFH6ixhaZSgxXX/37Vn6P2ql3NUCxfvpx39llQMXz4cPz000+YNGkSzp07h4iIhjn9qampmDx5Mh588EEsWbIE+/btw2OPPQZ/f39MmzaNX6NUKhETE4Pbb78dzz77rMW2WfCydevWmn9Lmrl5U2txk8Whb+BPuKjZhkLxF1Dp0xtcU1S10+aAwlHihiF+96Kv91QcK1mJE6UssKi7kFiuzUG+KglBzl1tWtfQzbMPPwpUudhTtAmHindBbag7E8NKyE4MrP5bWsvf0Qe3ho7jB0tvYrtk7yk6yr+vbUXmBowJGAyZ2LqON5txYKlM7Lg/5nqo9VqckWfgaEkyEkqScU6eWbNWY0HyNlwf2AshLj5WV4/p5R3Gj9pYm+kVJZcDjMLLQUchPjuzGa/3vtGqtljgyHbzZUeAc+ulNxBCCGmfjCzlycK6xat5n8g1ElB88cUXmDNnDubOncv/zWYnNm3ahHnz5uHDDz9scP2PP/7IAw12HdO1a1ccPXoUn332WU1AMXDgQH4wL7/8ssW2pVIpgoKC0Jaxjp2XUy908l+NrIo/kVo6Dzrjleo6hcqd6OzzmiCpFSywYGlNfX1u47MVJ0pX1Qksksq32RRQ1BbgFIxpYffhxuAZOFyym1d4KlTn1ZSQPVq6F3Gwre68CduIaWbEZMwIn4S0yizsKUrA3qKjKFSX8t1fN+ftxU0hwpRZZNVV+vvE8oOp1KlxqjStJsD4POlffNZ3tqCpMKzNeM9AftSfPTEtuCeEEEII6ZABhUaj4WlJ9Tv948ePx/79+83+zIEDB/j52iZMmIAFCxZAq9XCwaH5I80XL17kKVOOjo4YPHgwPvjgAz6zYYlareZH7Wk+09SmvfJj2e/lGWxGKSLc70Ogy81IKf0G2RWreOxdpc2FQn0JbjLzlZOsIRO5YbDvbPTyupWnQp0qWQ2tUYUL8l0Y7vcQJLXK4NnelhNG+I7HMJ9xOF9+GnuKNyOp/CTfOTvWu4fgz2ukSygiI0JxZ/hNuKhIx97iBGzPO4Dr/Ifw0ohCcxY7YLBvHD8YuVYJrV5ncS2F6e8txONmFa7Y72oPGZBCPu724lp8zAw9bvp7Xwta43V+rb13kNbXbgKKoqIi6PV6vnahuWsZ2O3mrtfpdPz3BQdf2ZW0MSyAWLx4MeLj45Gfn4/3338fw4YN4+svfH19zf4MmzGpv+6CKSwshEol3C7P9d8wWO4fe2My5WH64nE4O9yMbMXfqNBeQmrWAQS6udul/U64EeHuY5Cs2IvU8kM4l3EQgc72KX/oi2Dc6jYbZbISvog7vTCV326v/FNvuOJm11G40WUEiguL4GBl2lNLqVHRor/3teBafNzX4mNm6HHT3/ta0Bqvc4VCgbaEVXhqc1We2tj9aW/aTUBhUj8lo6k0DXPXm7u9MWydhknPnj0xdOhQxMbGYtGiRXzBtzmvvPJKnXNshiI8PJyv37DXYh/2psQeF2uj7ptSACKN/VGo3ILCqh0I8Lsb9hQeHI1BultQqklHgIt9q6MEIACdQuJ5oNbwcXdslv/eHdu1+LivxcfM0OOmv/e1oDVe505OLat4R0iHDSj8/Pz4Quj6sxGsMkL9WQgTtubB3PVsPYSlmYXmcHV15YEFS4OyhKVGsaM+9mZhzw4Be1Oy1EaQ+0QEuF0n+I6l5rjJvPnRWhp73B0ZPe5r5+9Nf+tr52/N0N+b/t5CutY+G0nrazevMJlMhv79+2PLlrq7+7J/s/Qjc9hMQv3rN2/ejAEDBrRo/UR9bG1EYmJis1Om2hKxqG2VaSOEEEJI4wxGfYd6igxGcZs8iPXa1bPHUojmz5+PX3/9lXfoWZnXjIyMmn0lWJrRvffeW3M9u53tLcF+jl3Pfo4tyH7hhRfqLPY+ceIEP9j32dnZ/PtLly7VXMOuZ/tZsDK0hw4dwvTp03kK0+zZ1m3eRgghhBD74gudL5fitpcyTTEylSl2baNYfQl78j+2axuEXFMBxcyZM3kJ2HfffRd9+vTB7t27sX79ekRGRvLzbLM7FmCYREdH8/M7d+7k17/33nv45ptvakrGMjk5Oejbty8/2M+zkrLse1NpWiYrKwuzZs1C586dMXXqVD5bcvDgwZp2CSGEENJ8+VVldn26zskv4dPzC2CwU+U6nUGLrflr8GHScxCL7LMvlcGow/HihViT/iAklF1A2rh2s4bChG1Mxw5zFi5c2OC20aNH49ixYxZ/X1RUVJOlMpctW2bFPSWEEELal1K1EuVaFSLdrNtUszFagw7b885iRcYBjAroitkxowVvg5X4XpqxFsfLEjExaKTFstu2YOXK/8leiEJ1LtylXghxarixrq1K1CnYlfd/KFZf4P8OcOqOjoSqPHU87S6gIIQQQq5Fco0KIojgIXMUPIjYknMeG7PO4VhxJtbdUJ1GLJRitQKrM49gZeYhFKkVcBRL8Xm/K+nJQkirzMbSjHU4XHKq5raRfgMEbaNEXYDVOb/jtPxIzW1d3HsJuiEom5U4VfInjhX/BgN0NbcHOnesgIJ0PBRQEEIIIW0MmznPKC9DQnEOEgqykVCQBb3RiHU3zRY8iDhQmMp/NzO70yCEuXoJ0sY5eRaWpx/A1txT0NZaVDwxpA+8ZC6CtJGlzMPyzPXYW5RQ53ZfmRe6eFjefLYltAYNdhSsxdZ8tnGrts65Lh59IJQydRp2F3yIInVSndsdxZ7wcAgXrB1C7IECCkIIIaSZFBo1cisUyKlQ8K+5FeX8excHB7w5/DpIrSzPqdbrcKY4H8cKs5GQnw15cTEOKYthWlLMxsD/nnQXnKQOggcRJi4SBzzSeQSESms6XXZlTWNtMyKHwlZ5qiIsz1iP3YWHYUDDtOURfv0FKZF+Vp6AVdmLUKwpaHCOzRZ1du8pyKxEqmIHEsvnwwBNg/MBzt0FnQVpCwwQ8aMtaWv3p72hgIIQQjqwKq0WjlIpxHbskOgNBpwvLEK0jzecbSjJ3ZTEwkKUq1W8oygRiSAR1/3KOvNisQgSdr7WOZlYDI9mbuwlV6twtrAAORXlyK2sDhxyFOXVwUOlAgpNww6fp6MT1ky7q0XBRLFKiWMF2ThamM2/nizKhcZQPYrPfktXqVud6x/oNgD9A8IgdBBR2/3xQ+Dr5Aoh0pos6ecdjTh360uuF6lL8VfmBmwrOAB9IxWcRvrblu5UpM7DquzFOFdueQ1muEsMXKXuNrVTymYl8j6EvFwFg5u2OnKsJ7CDrZ8gHRMFFISQdkWrb5167IcysjA4ouUduJZYfvw0/3pbr26QSexTKUZepcLMxcsxOjYK4+I7YUhkGGRSYd/6Wad9/uEE/HsuCSEe7ojx8UGMrzf/GuvrjWgfHwS6udo8yqrSaTH7n3+gacFrwFEiwfc33YzrYmKaff0vJ49gR0Zqs65nQcS8CbcgyrNlG3nuyUnFqwc2Qamrm0JjTpS7N17oOwotpdCq8NzhVdhX0HRZUy+ZM+bEWTdzcLYsE08nLES5tqrJa2faMDuxOW8ffklZAZ3xytoCc4Kd/BHjal2KECszuyV/FU9v0tVLb6qvi3tvq9qobkePM6XLkVC8AHqDFjJEW7w2wLmH1e0Q0loooCDkGqDS6+Akse//7myU+kheNoaE2DfX959z5+CsUeOWgAC7tvPaxi0YFhmBl8eOgovMPqPuoZ4eeGDZP5i37xAeHjYQ03p1F7yzH+Thjt4hQVh2/DQ/XGUyHlzc0LkT/+rmKMwC31fGjsL2SynIKVfwY29aep3zrjIHHmCwWYxY3ytfo7y9+AxKc/QNDsEH427AC5s2Nut6N5kM86fcikFhzQ8MWUrRTxNvxbPb1uO/5PNNXv/eyHEYFtryKj+3xnRHD98gPL5zNc6XFVm8joVgnwyfBGcrUp3cHZzw64g7sTbzDD46tQVF6kqL1z7aZQTcHKx7LXT3CsdfI5/FH6l78VfGQVTpG87iMEFOXhgZ0BXWuiFwGEKdA7Axbw8OFB+3OEMxwm+A1cErm/0a7ncD3KQeOF66HymVSTCaSaliOtsQUABG+Dl1QTevaciqOARLfxkRxPB36oKOhqo8dTztah8KQpoq8SuUUk1Fq7SzLee83eqk1/b07rWoasZIqC3Sy8vw0IbVSCkrsWs75Wo1Fhw7hsUnjtu1HX9XV/x54hRuWbgEJ3Jy7dJG37BgPsLNOuBvbdyO6+f9hsVHjkOlbXwEtqXu7n9l4WilRoP1iRfw7Or1GPzlj5izbBWWHTuFggrbXvP+bq54btRwi+crNVqczsvnsxhf7tmPp9b8hz+On4Te0LLX/9Ru3fBg//5NXufr4oKlt89oUTBhwmaLvhl3I26M7dzodQ/06o9Z3XrBWp08fbH6xnvR1dtycDy7a38MCrQ+SGcd61siemL19Q/yWQhzgp09cGeMbSlC3jI3PNF5IuYPeRhSC/syTIsYbFMZV/ZYunvG4fnOD+CNbo/bLd2JBRMsqHgi7i3cE/mU2WucxC6IdO1kdRtikRQhLv0w2P8x3Bb5G7p5TjV7nY9jLBzEwixgJ8SeKKDo4Cp1Ra3SCU+uSOQb/djb2pwdkGst5+cK5eOza3BRYZ9OpAkbXXv3xEZsyk60azs5leXYlHEBnx7bbdd2LpQUoVyjxpz1q3geur0otdWjn+/v2oWvDuy32+vbz7X6QzyttAwzlyzHV3v2C55uxWYLegYH1vw7X1GB97fsxPU/LMBvh4/x9Q+2YMFqqbIKfm4uCHSvm5PPaA0G7ElJw5sbt2HkN79g5qJl+OXAEaQWl7aoHbVOh4SsbB6sNGethr+rCxZMvxXvjr++RbM/FRoNlp85jaM5OY1eF+rhgRUzZqK7lbNYZaoqfHxwN7akXbJ4zZiIaLw61LZ9FIqqKvHU7rVILG244JcJd/PC/6xIdaqvoEqBRw+sQJnGfErSU91Gw1GAGcwiVTleOb4UuloVnUxYqdgpYQMhhBKNHN9dXGL2XJRrKMJdggRpR6Etw+rsxWbPxbv3gESgDe1UejkuKbbU/FsiujJT1NH2nyAdFwUUHYxCm1fzvd6oxdac11CuzRa8nfTKSzzXlFHplfgj/Xs+NSy0s/KLUF+ePi9Rl/E64/uLhB+ZPlx0CSXq6hFaFkhszz+LFekHBG9nZ+5FXCyv7jzsyUtGblU5vjy7A9rLizGFwgKIHVnJ/PsdWdX5078lHsXRgixB21lzMRG/nDgClU6HpOLqtI1UeSke2/SvoJ3vFWfO4JUtm3EsJweVtTrZ3xw8iHd37hBslmfR0eM8ePhk5x7IVVeCIraQ9bv9hzBjyXKkFNs+A/PD3kN8dmDiT4uQVtJwx+DCSiU+3LoL133/K+YfPMo76tb4fMdeDP6quh0WrDSGPYPHs3Px6Y69eHndJlwstJyGU9/HO/dg5h8r8PnufU3+LSbEd8J/D9yL0bGWc8Yt+XD3LryyZQuO51oO9jv5+PBgItq7ZWsaavvgwC78fPKoxbUacd6++GbcTVZXdDL5+NgubMm8yL9nYVj9UOzDYRPh4iCDrb46txOnS6uDMDZLUXumItbdD1MirJ9lqe2X5O3IUFa/bqLdAhBfa/G1kKVi/8najCJNddDbwyOOV3Sqne4klJ2F61Guq26np+dA3Bh8R825rgKWi02S/wuNoXqgLMb9elwf/E6HXz9hSnlqawexHgUUHYTWUIX9BV/hQMGXyKjYy287UjgPhapzKFCdEawdFkRsyP0LX198A9vy1/Db1uQsQam2iO8eKqSNuXvw5plv8PXFRbzdRemroTKosafoqKDt7ClIwjMJi/Dokfk8qFhwaXt1+zknUaZRCtbOmdJcPHXob8zcsZAHE8tTq6uHpFWU4J904Z673MpyvLhvPe7f9jdf9LkxvToPnHXz2O1sYasQ2O/58MAu/N+BXbhu6YI6+eb7sjPw9t7tgs0esPSm5WfOYPryZVhysu5ztejECTy/cYMgAcz+9AwkZOfg50NHsT89s8F5lrJzy8I/8PuxEzY9tqJKJUqrqnhwwr5aUqxU4pPtezBu3m/YkHgBFWp1i9rxcm5eZSOTAeGhWDhrGpbdOxNx/n7N/rl+ISHNWs/w6Y0T8N2tN8HHxXzqTVOmdrsyWmtu9qFXYCCWzZiJYHfbKu883m8IDxbcZTK8OIitLbjSqfd2csaCybfBQ4C1Jy/1Gw0/JxeEuLrjj/F3YGCt1KaxYTEYYkOqU22v9hqPeA9/xLj74u+xD+D2qL41557tPtbmwKjmd3W5EYN8O/FgYt7AuXg0frygpWJNZkfdhrEBgxHmHISXuj6E+6OnwVlS/VofWSu4sNXk4JkYFzAFfrIgzAp/BGMDbkakSxw/19ldmCCM6e19F+I9b4K7QwiGBTyHCLfh6OV9Jz8X6NQxAwrS8dCi7A4iV3kcSfLVvFLE3oLPUWUoxZmyv/i5gqqziPOYKEg7+apsbCtYzRepbchbAY1RjYPF1R3wJMUp3CJIK0C5tgJ/ZqyFAQYcKD6Bj5J+xpGS6oo4ieXJvHSgn6P1I5C1047mXdjMp+hTKwow99CPyFJWj0CrDVr8m3UU98bYnnLALLhwgC+OBnR4cN/SOue+S9yNKRE94SSxffHvv6mJPPWI+fPCiTrnUstL8fnxPXht4HU2t3MkNxtFVdUBFyutWd8f504i3scXs3v2s6mdwspK5NfK79cZGi7EXJOUxNdWfH/TTTbV6WdrF1jKTmOj7Gw25p0tO/gC5I8mjTebStQUX1dnxPv7oqxKhcKKSgtLPutWalp9OhH/pWXh66k38cXczREf4IdJXeLg5ezMg6EzuflmrxsSGY4nRgzBoEjrqloNDA/FPf36YEBYCJ/ZeXNz9XuCyaDwMB5MNPd+W9IvOBgvDh+BCZ06wc/VFX1++L7m3LDwCPx4yy08cLFVpKcXvrvhJgwKDoOPswu2pafgWH4OHMRi/DjhFkR4CLPxm5+zKxZcPx3RHj589+tTxXk4nJ+JEFcPTI8VriPJFlv/MnwWXKQyeMqcMTO6L365sB+9vENwQ0jj60Ragr1/fdbvHlTp1XxNxTC/eHT1CIWzRGZTqdj6HMRSPNnpHlTolHCTVs96zAyfxD8rApx8BWuHpTTdGDIL4wJvg+PlgOXOiEfxe/p38JY1P+BuikgkRpTbSPT3vwUOkupAdYDfgzy7gAUZhLQHImNrrXK9xpWXl8PT0xNyuRweHrZ9qFqyM/f/kJFzARq3VPaXrbnd1zEOt0X+Klg7uws3YlX2QrPn3ur2A7xkPoK0wwKHt858A62ZEoFshOrW0HH8e4PBgIKCAgQEBEBsxUgby/t95PD8mqn6+lVJ/hn1vE0LCU1Yjfk3j/1ncTbipZ7jMCe++aN4jT3uf1PP4fWDm2sCi9pYh/mviXehf0AobJUuL8Nnh/di7SXz6W6srYU3TsOo8Cib2mGpJztSU/Dh7t3IksvR1cUFiUplzaZfJgNDQ/HLlFttGj1WsEXfhxN4ilNTPJ0c8d6EcZjcJd6qtlhAMfLbn6HWWZ5d6R4UgHFxMRji74s+cbGQWFle9t4//sbBerMuI6Ij8diIwXxmQijLTpzC65u28e8dJBI8P2o4HhjYz6p9MBp7jbPAMv7rr/j3LMD4atLkZleLaqlXdm7G0sRT+GTsBMzoYvtGZpZcKC3E+H9/xZIbZqCT2Nnq97TmuG/PEr6J3ZAA2/7fbMregiS+2d3YoKYDJFvey3UGPU7Kk9Df2/5rDko1RYIGFJYeN0tblogc2k0fpCX3Y8KGh+DganvwLyRtpQabJv181Z+j9opSnjoIjb4SwU7mS9iVqJOhNQiTusNSj8Kco+Em9TR7/rziFITi7+iDrh6xZs/tKRQu7clD5oIbgs13EvJUZdhTKMzaEJlYwqutuErNv4n+mLQX5RphFjMPDgxHrKf5kTo2+v6//esvz5bYJtzDE37OlvOiWVuPb16LS6XFNrXDqu64yxyRXV7e6HVHsrNx518r+KyGLW2tT7rQrGvlKjWeXvMfvty936p1HCtPnW0QTLDN2NiMwes3jMHOx+dg1QN34dHhgxHq5WF1KUy2aPp49pWFzGz9worZd+DXWVMFDSaYgorq576Lvx9Wz74TcwexHYuFz01maTrsb3V79+749sab7BZMMJ19/fBwn4F2DSaYOC8/vNhvFIYFRcLe3uozye7BBDPcvzNGBXazezts0Kc1gglGyGCiMUIFE4S0Bkp5asfY5NK5sn+QWrET+VWnYTQazG6OY4QBhaokXqLOWrlVmThSuhsnSg/w9RKWJClOYLDvGJsCllNl57EhbzeOlpyGwUIySEplJrKr8hHqfKVCTktpDDqe0rQweScK1JY7qivS92NsoG0fVPlVCl4H/r+ssxavkWtVWHDxAM9ptsXu7FQ8u3cd34nXkmR5Cb46sRcv9x9j074TL+/ajL+SGl+jo7hc+Wn1tLt4/rk10svK8MR/6/ji6KZGQc4VFmLmiuX4fdp0Xu2npdjsREpJwypHzg7S6g3bfLwR43vlK9tHwZrdodnz92dC9WyVk1SKkTFRGNc5FmNio+Ft5RoDS07l5PHA5fr4WDw2fBB6BgtTBcecYmUVHho8AE+PGGrXTj7z1JCheHTgQJs3zGvK5Jh4+DYSOAuFPY7Hew7lI9b2Fu0uXGpQU49JYm77Z0JIh0IBRTvG3qjDXYcgtWIHjGCjnJbftAuqztgUULhI3XgJvcaCCeaC4jQPCtjmQNZguben5OdxoizRYjBhsrcwATMjJsNam3NO4rfknShsJJhgEkpSeeUna3OAS9SVeObQSiQUN1zkW9/Ci4dwd+xA+Du1PC+f2ZB+nu85wdKrmvLz2cOYFNkZvf1a/rjYaPyLOzbinwvnmr1HxSOb1uD3m25v8Y7QLAXp4X/X8K/sZx1EIt4B93R0hEgshkQkhkQs4rs1s9F9NhrORq9f37YVX06aBK8WBDEsnWrV2UQMj4zgwUL15mvVOz4HubsJ2nFlnfyBEaF4ZdxoDI+OsCooaS42ebJ6zl3oFmjfzQCZp0YM4XtAtIbHBg1qlXYCXK37/5EQYl5brKrU1u5Pe0NrKFqJPfMX2czE2bJ/cKTwJ0gUIQ3WUDDhrkMxIfQTm9tKqUjCyqxfkaPKsHjN03HvIcq1uhKGtUo1cqzM2oxNeXuhM7OGgmGzE9/2fYPP1NiSd7sj/yyWp+/HqTLLj2lK2AC81sP8xkPNlVxehI3Z57AxKxHnL5eONYcFFG/2mWh13i3bwO5kUS4SCrKRUJjNv8otpFLFefpi3c33WVWDnj3vpaoqviA7lx2ViivfVyiQXVGO/MqKOouoZ3bpiY/GjG9Rx5y1U/t6W9fMtKSttsKej7kto8dNf+9rQWu8ztvaGoob1j/cJtdQbJn801V/jtormqHoAFiFiB7e0xHqPBh7Li5AAVIbXFNQdU6QzlKMWxc81/lD7C/agvW5K6AyszYjSXHS5oDCW+aJuTG384XXf2VuwLaCA7wiU20s5SmtMguRLqE25d3eENyLH4nybL73xObck9DW25iJlZB9PH6iTXXUYz388LjHKDzedVSjwcXylATc12kwItysq2LlLHXAkKAIfphmE5LlxTywYPtQHCvMQUp5dSWri/JifHtyP17o1/JKVuy1xCrgsKOHf6DFtB5WCao60CjnX7MUcoS3oEpOa3bw22IwQQghhLR1FFB0IJ6yUAzwewjFjt1wtPgn6I1XNsNSG+Qo12bCU1bdybS1lN5I/4no4zUU/+UuxaGSnXXOs/0oJgZNhxBYadhHO92JW0NvwIrM9dhVeISXrDXZU5SAyAhhFpV29QzFW72m48nOE7Eq6zD+yThckw4ldAnZxoILrdGAbxJ34bOBtwrSFksBYos92XFHfPXCfba+wjSDcaQgi1eXiff2h9BYGlKgqxs/+gYKVzaSEEJI+8U+xQ1tbG0NlTy1zbUzd36NYGsXuntNx9TI3xBQb0Oc/CrLC4Kt4e7giTsiHsEzce8hzDmm5vYM5SVU6hrflbelgp398XT8bHzd9zUM872yKdPeogTBNk8z8XF0w5zY67Bm9Iv4v953oJdXdRD2d8ZBniIlNB5cdB2FtTc8jA03PIqnu43GBXkBkuTm9wwQgq+TC8ZHxOGV/mOwfOKddgkmCCGEEHJtoICig2IzETeFf4dBfo9DIqrOUyxQCRtQmES6xuHZ+Pdxe9hcuEjc+AwCW5xtD+EuwXixy1x80ftlDPTuiUJ1CS4o0uzSlikdav6QR7Bo6OPo7xODQ8WXYE+m4OLfcQ8hyk2Y/TwIIYQQQuyJUp46MLFIgl4+dyDCbRh2533AKz3Zry0xhvmNQ2+vwfgvdzkuVJxGX+/mb9LWUtFu4Xi12yO4oEhFkaoU3nCFPZnSoVgFq9YixK7ZhBBCSFtDVZ46HgoorgFefLbie5wt+ws6gxpSsfW7CDfFVeqOGeFz+U6irSHePRqdXCN5hYzWYG05XEIIIYSQjop6R9fQbEVP7zvsGkxcjZ1ECSGEkKtFrVfbvY30yubt90PI1UQBBSGEEEJaDStlbU+sUMe2vFNQ6uzX2dcZdFiWsQoHio/arQ2WYrun8G+sz/0JHTXlqa0dxHoUUBBCCCGEK9fYrxPO9hJak3EKH5zcbLc2cpQleP74Qvx8aQtcpPaZkc+pysObZz/GmpwNiHQNt0sbKn0llmd8hG35v8NbFmSXNggREq2hIIQQQtoBjV4PmURilxmDXVkp+C3xGMZHdMLdXa6U5hZqxmBn3kV8cWYH32vn4wG3QGispPey9L2Yn7yV7xs0NWyI4G2wx7G9YA9+T18BtUEDqUiKcOcQwdspUGVgecaHKNbk8H/7yoRvgxChUUBBCCGEtFHpZWXYnHIRm5Mv4bGBgzE26sqeP0LMRvx98TQWJx5DmqIM7jJHzBs7BUI6WpSBz85sx7HiTP5vB7EE1wd3FrSN02Xp+PjcKiRX5NXc1t8nVtA2yrUK/JKyGEdLT9bcFu4SCqlY2G7UGflerMn+FlqDquY2H1nH2xS0LaYYtbX7095QQEEIIYRYoaRSicSCQiTmF2JgRBh6hwQJMgp+rrAA+86fw+ptm3C+uLpi3pDQcIyJjBbk75QsL8bixOM8mKjUaWtunxHXE64O1fsW2SqxLA9fnt3JZyZqGxEQAw+ZkyBtlGuVmHdxE1ZnHWpwrp+PcIHXybKz+DH5N5Rpy+vcHu1avempUOslNuctxMGSNQ3O+TrSDAVp+yigIIQQQppICcoslSMxv4AHD+fyWRBRgIKKSn5+QHgo7h/Uz+rnUGcwICEnG5tSLmFL8iXkKsrR1dkFF6uUNde8MnI0RCKRIGlNu7NTG5xnv/leAVKdMipK8PW5XViXeQbmll5PDOsqSNC1Je8kvj6/DiWaigbn49yD4SWzfW8ijUGDpRn/YGPedrPnowQKKCp0cmzP/wOXJPuq/xD1dMQZio7ihx9+wKefforc3Fx0794dX331FUaOHGnx+l27duG5557D2bNnERISgv/973945JFHas7/8ssvWLx4Mc6cqd43rH///vjggw8waNAgm9ptDRRQEEJIB6bTGyCV2Lf+RqVaA6VaA183V4jFIrs9jszSMig1WlSqtVBqNPx7dlRptVDWu419X6nRwmAw4s2br0OEj1ez2lHrdLhYWMwDh+qjAEkFRajUaMxe7+HkiM9umQiJuGXPsUqnxb6MDGxKuYjtKSkoUVXVnKv/m6Z07oqeAYEQIq3JkuvDYxHp4Q1rFaoq8H3iHqxIPQadhQ1AhUh3ylIW47PE1ThUXHfmozYh0p3SK7Pw3aX5yKqqXsdgToxrpM3tZCrPY0X6JxCpnQGXhucdxE5wl/qgo+kIKU/Lly/HM888wzv3w4cPx08//YRJkybh3LlziIhoGGympqZi8uTJePDBB7FkyRLs27cPjz32GPz9/TFt2jR+zc6dOzFr1iwMGzYMTk5O+OSTTzB+/HgegISGhlrVbmuhgIIQQswoKK9AgIebXZ+bHWeSIZGIMbJLlE2jz425kFuIN5ZtxujuMRjdLQY9wgNb3Pltilgkwuyf/kJ2aTmCPN0Q5OmOYC93BLGj1vfsq7uTo1WPVSIWYcnBE/jz8JUc9qZIxWJ8O+vmZgcTzK7kNLz47wZUaXXNuv79SeMQ4umBlihXqzDn31VIyLXcWTVhi7BfGDoC1tiVnYrHd6xBhdZ8MFTb7K79rZ4t+PH8XvyYtA9V+ivpU+bYku6kNejwR9oe/JayDRpD438bWwIKlnq0MW8blmasgs5ouR0xxHwNhbXY83a0ZCM25M2HwaCHB8LMXucrC7bbewOxzRdffIE5c+Zg7ty5/N9slmDTpk2YN28ePvzwwwbX//jjj7zDz65junbtiqNHj+Kzzz6rCSj++OOPOj/DZiz+/vtvbNu2Dffee69V7bYWCigIIYKpUGvg5ihMDrYlGSVypOYWICAgwK7tvPPPNgyKDce9I/ra7QPdzUmGB+b9jV6RwXh8wlAMjY8QvK1uYYFwd3bEL1sP88PHzRkju0bz4IK15+Zke2lNZ5kD3r99PO79cQWySsr5YYmLzKEmuOgS4o8nbhgKmbTpjyL2vLw2eSzKVWqsO5XUrCDn0+mTMKZzy3Lpx3fuhPB778Djf/+LLLnlx8FM790DE7vGo6U8HJ3w59QZWHA8AV8fOgC13nLH9b7efRHq0bKAxWR0aDRWTL4T35zYj43pFyxe18nTFyNCrBttZ3+Xu2IGwt3BCctTjvEqTpbYmu7UxSMUk0L6YXfBOZSaSXVixBChj1e0TYuvNQYtOrt3wgXFJWgtBBVhLiGQiR2sbqdIk40M5Tl4OQSgRJ1r8TofqvDU6srL6/5/7+joyI/aNBoNEhIS8PLLL9e5ffz48di/f7/Z33vgwAF+vrYJEyZgwYIF0Gq1cHBo+HpSKpX8nI+Pj9Xtthbah4KQq6hSq+EjVfa2My2V52nb2+Mr/4W86kp1EnvIKpXjp12HcSyj6dFdWzg5SPHJul14+ve1kCvt85h6RATxUfRT6bl4+Od/cN8Pf+HIpepqOEK6Z9SV/P6SiiqsOXIOzy1ah5Fv/ogHf1yJP/YcR2ax5XSY5ugXFYp7hje9joClI6UUlEBRpcYdQ3o3K5gwYelUH9w2HqPjm+4w/t9t4zGxR8s7+0zXQH/8ff+d6BzgZ/GaaB9vvHbDaFjLQSLBIwMGYd2su+FmYSG0p5MTr+xki24+Afjxulvx2w3TLV4zu1s/mwJZNutwd+xA/DvuIbzZZ6Jd0p0cxFIM8YvHy92mYu3oVzE7eqzZ67p4hMHNwfpF314yT9waOhmvd3sO8wd+jXEB5v/Gti7I9ncMw7Tw5/FU/Dy82GUxolx7mr3O17Fjrp8wGkVt8mDCw8Ph6elZc5gb9S8qKoJer0dgYN1UxMDAQOTlXak2Vhu73dz1Op2O/z5zWODAUp3GjRtndbuthQIKIgg2Tcx2DrW3Mk0lr+xhb4cL0/niQnv77uQBJBRk27UNFrB8sn8P/j5XvcjLXvIUFTiQlok3Nmy1a5BUpKjg9fgf/WMNzmTb7w3U9fJMy7azybj9mz9wJkv4ttjIfrewKzMtx1Ky+YzF3Hl/43iqMK8Ltoagd2QwfNxczK5LOHgxAx+t3onJH/yGKZ8swhfr9iAhJYufa0kbSTmFfCakOe4Z0ReLHpmBEO+WjbxrdDqsOZHIg8rGvHXzdbi1TzdYq0Ktxje7D+BCgfkPeQexGJ9PmQRXmW2zccVKJV7bvtViStITA4fw2Qxb5SsVeO/QNrPnWKnYqbHdIYS8qnLMS9pr9pyQ1Z2K1OX4J/Og2XP9fYUrF6vQVmBfcXUFKRFEkIjEgi/IZthnZ5byPP9eLJLCUXzl/1WaoWh9mZmZkMvlNccrr7xi8dr6gbjRaGw0ODd3vbnbGbZ+YunSpfjnn3/4egpb2m0NlPLUwWgMdXc5PVm6A1FuPeHpYHmkzdppYQ8H95p//5X1LwZ490GsW5Sg7eSryuDn6MHfyNn/MB+eW4lJwf0wJrCHoO2w4CHA2R1OEgdoDHq8fXw9bo3shYc6Dxe0nYtlRfB2dIafsytKVEosSjyGDEUZBgSaz5+11tmCfMgkUsT5+uJsYQGSigrx5cH9uDm+i82doNqOZeXwFJQxnaJxJCOL37Yx6SJWnjrL00GEsvdiGpLyCjFjQE/kl1dX1mGLgOcu/geL7r8dnYP8BWln/Ynz2HM+FcPiIqGvNaPD1gbc/cMKvHjTKNw5tLfNb9xL957AqsNn4ePuguKKhgHyoUuZOPRdJobFR+LxiUP5ugdrfLdxP+ZvOwy9oXkBXkp+CT+yiuXwc3dFpH/zFum+t3obVhw63eR1bP0ES40a16MTrPHqqs3473R1x8uSlyaMwh0De8MWL67dhG0Xki2ef27McPQItu5vUtv/tm7C4Zzq/29cHRyg1utrZhL9Xdwwq0cvCOHV/ZuRUl7Kv4/z8kWZWoXCqkrBS8W+e2IjX5zNjA7qhHKNCsdLsgSr7mTy3YX1UOiqF7HfHDqAd/b/zT7C/z1AwP0n/s76F1X66tnJSUHXI8DJDwvTlgm2INtkX/E/0Bmrg8qhvrcg1q0vlqS/A4NRR5vaXQUeHh78aIyfnx8kEkmDWYGCgoIGswcmQUFBZq+XSqXw9fWtcztbV8GqO23duhW9evWyqd3WQjMUHSiQ2FW4AquzvkaBKp3fllxxgm+QU6wWLjWkesHadjx1/FUcKTnObztccgyrs9cjtbK6XaFszTuJu/Z/iSWpu/i/12Yf4bmzR0ssf9Bb42BBGqZtX4CXjqzhpRUXXTyES4oibMg6J2g7F0qLcMeGZZi1cRmKqirxy5kjUOq0PLc5t1IhWDuFlZV4aN1qTFvxJ7alJOOvyzMThcpKzD9+VLB2WDWcV9ZtxkMrVuPZ1euxOelK1ZX3Nu9ASrFwMzzf7zyIz7fsxXVfLMCqE1f+LvIqNeYs+gcphcK0tfn0Bfx7LBEvL9+I1Ql1//5avR4frNmB5//4j6fr2CK9qBSJ2QXYl5SG7EbWG+y/kI67vlmGp379FxmFZValbTU3mGDGdo/F38/fjS9m39TsYILpG9V0nfzuoQH466k7rQ4mmGn9rgSpQ6LDG5x/8rqhuG+4dYuLa3tq5FBIRCJ4OjnigxtvgK/LlRHj4dERuH+w7W0wb44aCy8nJ0R4eOLvGXdibNSVVK6pXbsJtiv2/w0dj2gPbx5MLJ14Bx7tOVjQUrEm7/e7CX19wtDZIwBfDpqKt/pO4msahN7M7oWut2JUQDdEuvrj2c634OnONyHcxQ9SkQS9vITr6N8TeTuuDxiJAEc/3B4+BeMDx2KU31AewES4CDcINNb/DnTzGAZPhwCM9L8dMW69cGvok/ycTwdNeTJA1CaP5pLJZLyk65YtW+rcvmXLFl6hyZyhQ4c2uH7z5s0YMGBAnfUTrBzse++9h40bN/JztrbbWmiGooM4I9+DXQXL4GEMw8a8BZgYPAfLMz6CAXqUaHIQA2FGupLKL2LR5RGaX1P/hKeDB+Zd+o3/O60yA0LJrSrFO6dXQGfU45fkLXyW4suktfxcgoABhUqvxfNHVkGuVWFDdiI8jq/HvxnVI61ny/KQUVGKCDfrSymasNmV1w9sRrFKyQ8WVGRXVHck9UYj/kg6gRf6C1NDel7CYeRWVI8SssCCzVSY/JxwhI96BrjaXr1o8/lLSC2pHvX871zdUWNWIef5NRuwfPYdNneK0ovLcCY7v6Y8aZVag86eVzp4xZVKPLBoJZbMmYEwb0+b/kYX8synuNS26fRFJOYU4ou7b0TXEOsWhrMOCRutV6iaF5jsSUxFXn4+wo6ex8u3Xocg7yuzg42JDvDBgNgw+Lq5IL2wlKclmTOqazQemzAU3a2cCRkaF4kb+3TBsPgIvhj6leWb6py/c1gfvHjjyBatlzBnSEw4HhszmK+NiPHzQZ93v60Z0Z87YgAeHW3beoPaayg+mzIJgyPC4Ofmij0p6diQeAHezs74+OYJ/DEKIdLLC7/dMhURnl78d9/erQe2pCSjb1Aw+gcLt5lZkKs7DyTYeh02O3pn596Yd/oQevsF2VQqtj5fJ1csHnUP5JoquDk4optXEO7pNJC/jwqV7sR4Orjgo973oExbCWdp9ezK2z1n8k3unCTCzcC6SF0wN+YePkvhJKlO55sTczffX8P0byE4SlzQx/s6XOc3DbLLv7eX1xio9VVwlVj/nkbsi+0ncc899/BO/9ChQ/Hzzz8jIyOjZl8JliqVnZ3N95Vg2O3fffcd/zlWOpYt0mYLsllaU+00pzfeeAN//vknoqKiamYi3Nzc+NGcdq8WkbE1VoQSXjWALe5h+XhNTaVZQ2/U46eLz0FVqke5SxZkEidoDNVTwkN9b8WE4PsFa+vbi/Oxv/hwTcfIeHn7omjXSHzQ8zXB2lmatgffXPjP7Dm2KI8FGYzBYODTfazqj9iKcphHCtNx354l0Jqpnf5Cj+sES3sqUFbgjg1La1IPavNxdMb+GY/CqQUdLkuPm60veGfXdiw9c8rsz93RvSc+uL5upQlrbTl/Ce9s2l6zwVd9c4f0x/+uG2VzO3lyBX4/eBxLD5+EWqvjAcV5uRK1/2KhXh48qGBlSq3F1gIk5hRg4Z4Env7UGJlUglduHoPbB/e0OgWqWKHEhPfnQ63TW7yGdQL7x4TiurhgDO3VlQcJ1nhiwWrsOld3QzOWUvXYxKF8jYVQtp65xBeym9ahvDf9BkzoZd3i6Kb+377u8/nIlStw9+A+eHXyGLvlEP+ZcBJvb9qOn26fgrFxwu3AXB+bBRv+28/4YfLNCBNLrX5Pa45fzx5FvLcfRoQIm6ZaX4VWjePFWRgZ1HQqkq3v5QUqOQKc7N8BZ5+3EpEws0dCPO620Adp6f0YuuZJSF2FC8qEoKtU48CUb1v0HLG9IFgQkJubix49euDLL7/EqFHVn3n33Xcf0tLS+N4StTe2e/bZZ2s2tnvppZfqBAIsiEhPb5jt8dZbb+Htt99uVrtXC81QdBBVegXiPQbiVGn1QjVTMMEUa7IFXTw21HdATUBhCiaYTGU2Py8VC/OyYlPaS9P3oFDdMCUkoSQFE4L7CNJOd+9gXB/SGRuzExucY2lPQgUU/s6ueLz3UDy/Z32DcyXqKqxNTcTtceYrfbQEmxF4bMBg7E5PQ7ai4XO34twZ3NenH+J9bV9XwzpXu5PTsPyE+fz5+QcTMDw6kh+2YEHCkJgILD5QnWZnTnZZOe5fuBK/z7mdjypbg1URig30xbksy6UvTTQ6Pd5ZtQ1HU7Px1tTraxZxt8T640lmgwlPFyeM7BqF0V1jMKxLJC/Fyzscfs3fT6F+oHQ89Urq48DYML42o3+MsGt3GNOsCysJ+8VdNyLST7gR8PoC3N0wNDYCr0yyXzDBDIoMw939+9g1mDBVfvpm4k3oFxTC/972dFeXPpCJhesUW8JmKpoTTAihNYIJRshg4lrVETa2Y9jGdOwwZ+HChQ1uGz16NI4dOwZLWABia7tXCwUU7Vilrhzrc3/i1SHk2kLAKDK7OU6JxnKN6+Zgk1hb8nfheNkpnvKkqrfw24RtApRVlYso14a5zc2VWVmErfknsTP/LC4oLK/9SCi5ZHNAkViWh+Wpx7Am4zQqdearrAiR9sSev7056fjqxL5GKzotPJeA6Z162NQxYukfC08cw5cH96FKZ77qFlsn8tG+3fj1lqmwRamyCs+s/o9XdmrMS2s34d85d8PH1cw2sM10LD0bTy1byx9fY+N3acWlfE3Fwvunw9vF2aq2vtm0D2lFDWeRanOUSmo2bWO7UO84l4Kb+nZpUTts0Tcr12rSKciXpx6x/SF6RwXX2XyOjWDaIqWgGOVVar7W4YlJwzCok/X/jzaFpaXNGNwTL988Bo4O9v2IuXdoX0zoHme33blNYn198NL1wqQkNmVIWLjNf+/mcKyVCkkIIbaid5R2zFXqgUE+NyK98myj15Vq8mAw6iG2clSFdXC7e3bG9oI9FoMJE7Yw25aAgtUaT5RnNRpMmGYobJ2GZ8HEitTj0JlJdaptY7ZtsxRs0fVL+zaiXNP4c3e2pIAHHNZWfGKLpJ/e9B82J19q1r4U+zMzMCzcutKHmWVy3PfnSv61KSwd6tX1WzBv+i1WBUusutMjf6yBqpk7F1/IL8JDi1fh1/um8XUKLXE8LQd/7D/BA4UgLzcEe3lUf+W7PVd/z855uzrbPCK+73w6Ivy8+B4Ro7pFI9zXutmH5ihXqvHTQ1PtsnFefTf17QovF+Hy5RszuadwC30bw54zRxvXfxBCSEdGayhaiT3zFxXaEvyV+SkyKhPhoQzjayggqrs05un4n+Ets62kmNagxYrMNfgvd0udVKfabggcgwei74StdhWcxeeJa8ymO5msHPE/hLj42JR/ml5Rgq/P7cS6TMtBWXevIKy6/kHYQqnVYHXKOSw6dwznyywv/L0xqjO+HzulWb/T3ONmsyGsTOyWlEvYlHwJF4ott9XdPwBr7rjb6gWmbIYiqaAQ5/ILkZhfgKT8QiQXlfBF5ua8OX4s7h7Qx6oRb1aaVqnR8E3RWLlYeUkJNDInVGnZv7XVXzWmQ4MqjRZdggLw0KiBLepAV6jUcHJw4LMO9taSuuGtkWPdFtHjpr/3teBaXEMxaNXTbXINxeHbvr7qz1F7RUMuHYC7gw9mR7+HTbm/IUl50uw1xepsmwMKB7ED7oqcjj5ePfBD8m8o0TRMCxGq0tPogO4Y4NMJP1/ajL8z9sNgJoBJKE3mAYUtIt188MWgqZgbPxRfnNmJ3fmX7JL25OIgw52d+2BWfG8cyMvAwnPHsDXzEk8/qs1UQjbY1bqFxayD2iMgkB/PDhmOtLJSHlywWYtjuTl1nkUWeKxJSsRtXa3bAIylFA2NiuBH7VmSi4XFOJdfgEQeaBTifEEhKjVafLRtNwZFhCG+kd2HzWFrE2qvT+Afvi4yu3z4urVwRsMWV3sTIkIIIUQoFFB0EBKRFBOD5sBHuQ1bVb9Ah7rpNcWaXFhf/b2u7p5d8HGvNzE/ZQkOlSTUOZeuzBSsAoar1BHPdrkZk0L64qOzq3BeUXf9ASsfe3PoQAihm1cw5o+YxXfI/vzM9prNmIRKe6rdiRwWHMmPTIUcS5KOY+mFkzXpUEKXkI3y8saD/Qbyg+1PsTU1GZuTL/J0J63BgM8O7MWkuDg4Sa/UwLYFSwthG37V3vSLBU2ZpXIeZFwoLGpxQEEIIYSQtu3amTu/RrBdsefEfAxvWVCd29leFEJyk7ri6biH8EjsfXASXxnV1Ri0yKmq3jNAKF08wjB/8GN4pvNNcKlVY5wFFEJXPR7kH4llY+7DvKEzEOdxZfdloTe5Y8LdPfHKwDE4OONRfDBsPDp7VXe0/zx/AioLC6pt4e/qyveg+G3KNBx58DF8PfFG9AsOxl/nGl+DYyuWUhXp44VJXeNxU/eWLVwmhBDScas8tbWDWI8Cig4o0CkSD8V+jjj3KzssFqttq/RkabR9tP8wfNTrTcS5XSmnKPSO2YxULMHMyBFYOvx5ng7FFKkVSFea36jL1sfFysj+O+4hfDzgFoS6eNakPdmDKR1q463348+JM/mi7PVpje+BYCsPR0fcHN8F3066GXf17G3XtgghhBDSsVFA0UE5S9wwK+I1jAmYxbefE3qGorZAJ3+81f1FTAu7GWKIkSrgjtnm6ox/1OcefNLnXgQ6eSKhWLhds+uTiMS4LbI3No1/DK/3noAjRcIHSubSoX6+/jZMjrJuIzBrCLXrLyGEEEKuTbSGogMTi8QYE3AHQpw7YXXWN9AbdXythT2wNRPTw25Gb8/u2FawG/Y2MqAb+vvE4nSZfTv5jEwixb2dBgmeXtUYodY0EEIIab8MRgP/LO9ojEYRP9qStnZ/2puO9yolDcS7D8Dc2E+gbWIPCSHEucdgbvTdrfJXcJE6YrBf643kU1UeQghp+/Kq5HYfAMpSFuKcvHm7GltLpa/C8sxFdm2DEKFQQHGN8JEFwUni2iptScU08UUIIe2NVq+36+/PrJBj+UXzpc2FsivvAp45vMKuA0Anyy7hqWNf8SIk9lKhU+Crix8gU2nfoIUQoVBAQQghhLRxGjt29stUVfi/PTux5nyiXX4/Kx29OOkYJqxZYLfHoTPo8cXZrXj04J/wdXSDvWzKPYyXT/4IhU4JP0f77G5foinG5+ffQ4YyFc4SF3RExjZQ0an+QSlP11hA8cMPPyA6OhpOTk7o378/9uzZ0+j1u3bt4tex62NiYvDjjz/WOX/27FlMmzYNUVFRfETjq6++EqRdQgghxBYsbedoRhae+nsdtiY13HTTVmwjyvnHjmLsol/x6/EEjI6MFryN9PJSzNq0FG8e2gKlTot+AaGCt1GoUmDOvsWYf3Ev/3esu59d1jIsSFmHz84vhc5YHRT5OXoK3k6+KhdfXHgX+erqQiodNaAgHU+7CiiWL1+OZ555Bq+99hqOHz+OkSNHYtKkScjIMF9VKDU1FZMnT+bXsetfffVVPPXUU1i5cmXNNUqlkgcaH330EYKCggRplxBCSMdXXKHEmoRz2HTqgqC/V6XVYV9KOqYvWIq7Fv2FY5nZGNelk6CBytoLSRi/ZCE+2LsLcrUK/8/eWUBHcXVx/E9k4+7uSiCE4O7u7t5CaUtLS91b2n51h7a4U9zd3UkgIQlxd9fd2HfeLMlukt2Q7LyhIX2/c+ZkRzJ3Z3d299137/3fjja2XK8amlGJDWF3MOzwBtxMT+S26WmI4G0s6+9DgxuZMZhw/k/czpYJdLga0LVRVinBytBN2JlwtnabvoYOtOX6ItGApDf98PgLLkJRg64GcygYzwfPVbL7jz/+iIULF2LRokXcOokmnDx5EqtXr8bXX3/d4HgSjXB0dKyNOvj4+ODOnTv4/vvvuagEoXPnztxCePfdd6nYZTAYDEbro7KqCqFJ6bgUHotLEXHcYx2RJo6umEfl/Kn5hdhxNxi77j2EtYYaIgpLuO3TOraHSF2dio1byUn4+spFBKen1dk+2JWewxJbkIN3rh7HrYykOtsDLGygrqZGLWLwV8Rl/BF+AVWoW4DtRtGhyBbn45OQ9YgorDuBSDvdKaU0CVtT/0ZZtfQ9r0FbrXU6FOQde4bCiU2ihT2d547nxqGQSCS4e/dug0H/kCFDcO3aNYX/c/36dW6/PEOHDsW6detQXl4OTU1NQewSxGIxt9RQUFDA/a2qquIWISDnJTNPQp2/pcKum73frR12jz/9Hq+qqkZ2YTFScgqRnJ2P1JwCpOQUwNnSBLMHBKr82ucXl+JKZAKuPo7F1ccJyCsurd1HhsaL+3eGhYGuyt+75Dv7XlIKtt4OwtnwaFRWV3PntTHQ5f5qqqlhSoAf7+/12LxcfH/1Ck7HSlOn6g/rB7u68bZBHK5N4ffwY9BllFVWNLARaGHXqI2m3ue54mK8f+8ArmZK+xDVt+Osa0rldzCmKAWfhKxDpjgfbVC3yNtc04jab+3DvPs4krwXEu2yBsXkJOWJhp3/2riA8ex5bhyKrKwsVFZWwsrKqs52sp6WVnempQayXdHxFRUV3PlsbGwEsUsgkYvPPvuswfbMzEyUlZVBCMgXRn6+VC5PjdIs0PMAu272frd2+Nzj5H+EljwWl1dwM88a6mqCXTe5hqIyCXIKSzjHIaewVPa4oBQ5RSUor6w7aLIw0sPsnt7IyMhohs1qJOXkIzQ5nYtAxGXl1s6kWorawFIkmzE2N9DFME/7Zp2/BklFJW4nJOHC4xgk5kknnNz1dbi/5FW009HihrCdnOxRVVKMjJJiqEKBWIwjj8NxMT6WS0Py0Wk4421rYAgdsUSl66ghtbgAG8LuIjo/By5ttBWOLtqJDBu10ZT7PLogE+siryCvvBSeMGyw30Ski+LcfKj2asmIKEjArsTz0K1ShxNMG+x3rDDh9XrV8LjwEc6nn4KBxAhVqER1m7rz5JoFImS04W+nsLCQ9zkYjFbhUNRQ/4fxaT+Wio5XtJ223ffeew9vvPFGnQiFg4MDLCwsYGjY8EuQBuTLmDwnYuO/5lCw62bvN23IbCut9AxlhMWmc4NwD0cLwe7xq8Gx2HXmPrr4OqJrO2e42ZlRdzCColLw0o+7uGvR19aCvg5ZRNxfPR3NJ+ta0NcWQV+XbJPuNzXURXtXG6XPR/66I1Oz8fLfx+tECBpDV0uEr18cBmerhoNBZRSVibFs82HcjU1u0vFLRw+Ene3TJ6bqczQ0Al+evID8UsWTS+QdJr9UjwtL8EnnjrC0tFSp4HpD0D38ffc2isoljR7bv207lWzUfE7Wh93BT0FXIKlSruBE3uHObp4wEGmpdJ+T39wtMTfwc9hZVFQrn23vYWSh8rXU2DmYfBl/Jx9CFXkKSj5uvUz1edkhXMw8jT0FW9FGuw3nTGRrpzdwKAzNDWFpws8OgQjKtCSquJhPmxb3nBj/AYfC3Nwc6urqDaICZIagfvSgBlJkreh4DQ0NmJmZCWaXoKWlxS31IV+SQg72yZex0DZaIuy6/1vvd35xGayshL3Pt525DycrY/TxdxPMRhu1Npj96TYM7eaNJRN6wM7SmPo93sPfBT/vvIjfdl/hFnNjPXRt64Ru7Zy5v8YG0llxPnT0tMeSsT3w+76rKJOUIKugbh64IkwMdPD90tHc92tj1Fy3j4MV1r02BUtX7UNqbuOzrcQ/+WrucLjZNE/tx1BXB6sXjMdvp65h85V7jeZ49/R0wgBfN5Wcs5F+3tDS0MDvl24gIiNL4THEtJ+dNfztm++wELQ1NdHVwQGJhQVchKK4XHnPhCHuHip/ltJKi1BcUQ53Y3OE5KQrPc7bxAJG2k+/15Td5/eyE3AlIxoidU1IKpQ3aXUxMOf1vXAxIwi7ki6gst7Avj7m2sa87FzKPIvdyVuknhahDThnor5DoauhR+V77r82JmA8e56bO0wkEnFyradPn66znaz36NFD4f907969wfGnTp1Cp06dmlQ/oapdBqMlNqwi6Q5Cczk8lkvlEBIyI/rbkavIyC8S1E5pmQRv/HEI206TgaUwr52HgwVEGuo4eSMck9/biO+2nEN2Pt9kjbqQKMus4Z1q17PyinH06iN89OcxDF22GnM/24ZVe67gXkQSKni8d3OHdkYPP+cmHetqY4pN701HB/fmSYi6WJti4/KpcLVuPOrwyqie6OPnClUgRdZvj+qLTYuncI8VoaGmhndH91M50qPWpg2G+HjgwIuz8PGw/kqPm9HJH6pCnlugjR2+HjgENxe9hJntFJ/L1sAAbS1UnwG31TPEGwG9cWT0PNycvBSD7BUXd3eytAcfOpo5Ym3PObgx8h0cHLAUHU0dFB7HV+Gpr2UH7OzxKfb3/Ao/ByyDq56twuP4Ssb2sRiInzusxye+3+Flt7dgoqn4nmaysYznhefGoSCQFKK1a9di/fr1CAsLw/Llyznp1iVLltSmGc2ZM6f2eLI9Pj6e+z9yPPk/UpC9YsWKOkXXQUFB3EIeJycnc4+joqKabJfR+iADyJKnpAnQILukBJHZMolAoTj4MAyXo4TvuPrn2ZvYevW+oDaSsvKRmV+MFWuPcLn7QkL8iB93XcRXW8+iXABHSVNDHV7O0sFcRWUVdp8NwoS31+OvfVdRVKp8Fra5DOrsCQNdLYXXR9KuNh65hSVf78LgV1ZjxS8HsedcMDJzm+ewxaXlwKGRCEsN3XydsP7dabCzMFLJMT73IIqrnVDG0I6eWDBYqtynKgWlZdhw6Q5KJYpn9Wf1DICrZdNTqZSRVVSMzbeCFO4z0tHCUB8P3jY4OyXFOBoZoXDfEFd3ailwhRIxLqcq/p4hBdk0UGsjHbY8yJWmpWmqqQui8KSvqcNJw8YVp0rXNXSgJjdkoqHyJFITwUrbBmYiC+SV53LbDDWMoK2m3eodCtJEriUujP9AyhNh6tSpyM7Oxueff47U1FT4+fnh2LFjcHJy4vaTbfK9IUgjOrKfOAB//PEHbG1t8euvv9ZKxhJSUlIQEBBQu04kZcnSt29fXLhwoUl2WxL1Z1IlVRJUVldQ/1Iikn01X+w10nqSqgrY6DQtlaypkHNqtlGv/cELyU1GSYUEXSzoNmAqrSiHSE29Nmf+n8gHXNrEVA/VZwgVUSgWczZ0n0TIiAa8jb4BVvToRdVObkkpF5Ew09PlBmGrL9+Ei5kp+nrQfd1S8wpRIpbAzcoMidl5CEpIxeO0LIwO8IaFIb1utVGpWUjJLkDvti6ISMrktj1KTMcXO87gi9lDqQ2I7kYk4V5kEgYFetbZvu/SQyRn5uObJSNhoMs/F/nE9TCcufUYlib6kJTXdVRKxeVYd+gm9p5/gPmjumLigPYqFztvOHwTO0/dQ25h0+oOisskuBueiLau1lytQ1P5YvNpHLgc8tTjJvVrj7em9Vf5et5YcxiXQ2OV7veyt8CnM4bwuh/Id+jSjQdxPy6lNpogH90z09fFkoFdVT6/vJ2Xdx1GXI50IOlqZorEvHzu80ro7eZMRSqW2HntxFHkPREDGeHuiaD0VKQ8KdId4kbHaSF23rt+EuJKqZP/SrvuCMpKwZVUaX+IThQb2n3z8ERtHcWbvoOQXlaIDVHXqDe12xR3olaSdoHLSOhqaOObsG2oRjXMRfSa2p3JOMqdkzDcZhycdF3xW9Q3KK0sgW4rdSgYrY/nKkJBWLp0KeLi4jhJViLn2qdPn9p9GzdurHUCaiCOwb1797jjSaO7+lEF0iGbfBHWX+qfpzG7LYHyKgkuZ53DP4mbUViez20rqyzFH1HfIaNMuRqVKo7EufS7WHDrf4guks4Q5UuK8G7wn7XrtLicHokxZ1fhbGo4t55SkoelN3YgNE86Y0SL4KxUjDy8EX+G3uTWw3Iy8MmtM7iTQfd64vJyMWn3Drx9+gR3j11OiMP+8Ec4FR1J3ZmYt3Uv5mzejeziEi46kZRXgMvRcYjJyqFmR1JRgTe2HsHU33fgRHAEjgdLm3uVSMrx04mroMkP+y5h2V8Hsfj3vTgTLHu9jtwOw9bz96jZ2X/5If48eB2TPt6Ezafu1tl3MywB877+B4kZebztPIpNx6X70VwkICJesYJLXmEpftpxAZPf3Yhj18JUln1sqjNBUq9mDgvE/u8WYv7ortDRalpaKKGts+KmoDWQQfmKaf3w7owBvJSgxnf34/6qq7XBuG5t6+wz0dfBzy+MadbzVgRxRpYN6cHZsDDQw8bFk+FsblK7f/mwXjDQabqz1Zidj4b1h76WCO7mptg6dzImB0ivj0jFEoeCBsTOyv6DuIkLP0srfD9kGL7oP4jbZ6KtjU62dtTsfNFtCHxMLNHOzBqvdeiJn3qPhoWOHix19GGvT28A/m67Yehq7gJPQ0vMcO2CN9sOwiAbb07hyUSLXnO+ec7D0dvCH7ba5hhm0xUDrQLxuudkiNQ0YahJz85Ay+HwNvCDsaYZupv1hbOeG5Z7fAB9DcNWG6FgtD6eqwgFQzlnM07gcPJumJdb40LmaQy2Hok/or9DbHEUN8tBi8uZwfg6bCv3eEPMMbznOwvvPfgLcSVpyBLzH2jV8CgvFYuvb+Me/+/hCfib2uOlG9uRJS5CdKF0hpoGuWWlmHZyBxeh+DnoCjpb2uPdaye4Wba7FB0Kkve/8NB+Tgs+MicbLjeu4nCE1FGKys1BTG4OXE34p1AQPj12FuHp0teIOBWlFbK0oG13grlBDA22XwvGg0Sps/rm9mPQlcs3J92Dp3ZtD38n1QpK5QmJT8P1cOks563HiVBrA7ibyX5kfzpwmSu+7eHDL2JIUo6uhcTViRQoSuuZ+/UO/PDSaAR4qp4TntdIyk59UrML8MW6k+jla4Wxg7qhdwfXJs/A21sZw9XOjIuEZOUXIyoxS+Fgf2QvX7wwrjuszVRToOsf4I4LQdEYFOgBcyM9vPrL/tp9ulqa+OrFEejdXrWahjp22rth4ZAuGNnZG67WZrgRkYC03EKupuH7haNgY0pHQa+LmwO+nTYcga72nFMxsoMX/jhzA372Vhgb6AtatLezxqbZk2BjaMBFE1/s0Rm774dgiI87jHToqfK0tbTCwWmzUFFVCW0NTfR3dsUoDy+uMJy8drQghdcHRs7mvldJKhJxJn7tMwZbI+5TVRZzN7TE+p5zkCspgcaTlKdvAifg17DzoImjnhU+bjsPJRVl0FSTDpdG2HaHgaYu1eux1LZBf8uhmGA+lUuDItjrOuENzw8hUuPvvLZEqqrboE0LSzEiz4nxH4pQMBTTy7w/tJ588VzMPINfIr/inAkCTYeil3l7OOhIc75v5jzCsnu/ILJI2g01SyyNjNDA19gGQ2ylP9wppfkYe24VIgukM7kxRfQcChNtHSxrLy2uL6+qwvSTOxBTIJ3FJ39zyui8diTN6csBg2t/vP+4fRMJBbLX61S0rGaHL+8P7QdnU+mMalRWDpKfaNwT9gWHokiu4SIfZvTogFk9O9Suk8iEPF8dOs9p+vPFz8kaq1+eAE9bxakMJB3lnQ1HEZ8hTR1RFTJzvveLefhwziB4OSovUs0vKsOSH/fiyLVHKtv6fPEInFv9MjZ8PL1JM/Zk7ELqLR7FpHJF1U1lcBcv7PxyLn5dMZFzLOrTt6Mbtq+cg48WDlXZmahRbPp12TiM6dkWRnqygbC1qQFXL0HDmSCQQdyro3tyzgTBy06aL//O5H4IdOdX9FufYf5enDNBGBngzb0HH4ztDzXi0VLEz8aKcyYINkYGXJRidmdZGi4tzHV1Ya1vULv+UZ/+mOhTN8pDAy11DVjryex0t3bEp12kERGakHvBVC4aoaMhwtt+dRvZ0oKkOslDohZCoPnEmajBWttW8B4yDAYtmEPRCqisroS4sgyeBtIBuLiqFIml0hldQglFh0JSXYH+Vh1r1xNKZDKBWRJ6DgVJCZruIiuszJPI0jZiCrOoqu5M9/SHnZ50MEW61MpDM0rRxc5e6Q84TYfCykAfK0cNUqioTQb9+4JVHwjXT5F5Y3hvBLooTpkISUrnIhU06O7thBeHd1O6v7BUjOVrDvEuZCYD48GdPFH8lPOQaMYnG07ij/1XVXaaSF+GB5Gp3LkUYWGsh9G922LlkhE4/tNivD69H14c3wMWJqrVpoRGy1IfA7zssPbDafhu2ViFjgYN/Fyssen96fCwp5fTrqhmYnKv9pjcS5gBXg1O5ib4YOwAtHfkH3F7Gm/074l2tsolyWlhoaeHbvaKlZKo29Khlx7UGGzwzWD8e7CUp+eYsIKH2JawFrmSHK6gi4QPzdEwl5lvhIJEHn57vAcxxSlIK1Oeg08Ks/lQWV2FrdE3cSsrFkE5SVw4WxEF5WVc6pOFtmwWrLnEFuTgVEIkziVFc06DskZJdzOTMdiRX9FiUkE+9jwKxd6wUCQXyqIF8pAiyfSiIljp8ytkjs/J4wqwDz0Me1Li15Ctt4Mwq3MHLtWFD8Hxqfhw9ynEZCq/J346cQWD/Nx555zvvx7CFWA3RkxaDj7YfAI/vTBG5Vlk4qiu3HwGSZlNu5fXH7uF+PRcfDZ/aLNz94lE6/aTd+s4aAHe9uj2pEcEGejXDJBI/URGqeqdbnMLSriicncHc7w8qRd6tHcRdPBFnLJP5w+FtkjYn5hhgV5wMOevttMUpncX1mmpwUBbS+V6GQbjeYHM3T0DJfNm0dKez/MGcyieY3wM22GY9VjsSNjQ6HGllfx07Yne9ii7nlgZuqnR4zJ5OhTqbdTQ2dwZ22NvKXUmaiB1FHwcCjW04ZyJm+mJjR7HN0JRLJHgpxvXuOLrp3E6Jgqz2stSiJrLzbhELN11CEViyVOdDiIhq6riExl0r71wG7+evPbU3hbZRSVYffYGp+uvqq2NZ+7gl0NXmnT8xZAYrDp2jetDoAp7Lj7A6TvS4nICGRDXdnl+0vmZ/CUSrPLbSW2Fj1PzZpVP34qArrYI04d2RDc/Zy5qoK2k7wFfMnKL8NmLwzC0mw/1lJ36uNqa4asXRghuh7P1JPWJwWAwGP8uzKF4zullPoBTgdgYt5pTYFIEjZSnzqbe+KXjMnz0cK3SKAWJUJABIJ+ZT1I7saffYnx47yBOp4YpPY6kPXWzUD0v28nQBDuGTse2iPv4+u4FlFSUK1WAIgXaJC9YFfREIvwwZDjmdeiI/125iOtJyh0YkvbEx6Ho6uyAc68uxN6gUGy9E1SndqI+W24HqexQkPd3fp9O6Ohsh8sRsbgcEYfwFOV1LduuBmFSl3Yq6/YP8HeHt4MlkrPzOenYlOx8VJcVI0cMZCkobl578hY8bM0xtKNXs20Fetrj4FfzOUdBT1vE1S0IRf9ADwzvQa/AtzG8nCy55VnAV2WJwWAwGM8fzKFoBQSadOOcijXRvyrcT6so21nPBr92fB2fhqzHo4KGzYvKqiQorijjGgLxwUBTGz93mYKtMTfxXcgphelINJSeSMrPbO+O6GfnineuncC1NFndSQ2SqkqE5qSjI8+mTO0srbB1/GScj4vlHAui7FSfG8mJKBCXwVBLdXUXogyzoHsg5nYNwIXIWGy5fR/XYxs6MTUSsq7mqg3ySSExqZ0gy+vDeiE9vwhXIuJwKSIW1yMTUCwXJamoqsLXhy7g74Xjm+1skuOdLE24pQYu/ScjA5aWlhBXVCI1hzgZBUgmS47U6dh1ORhtHa1g38x0GDK7/qzQZgNvBoPxH6UlNpJrac/neYM5FK0EX8P2eMXtbewM3dxgH02VJxORAb7zX4rvI3bifEZD/f9McR5vh6JmIDnbrRvam9hh+e3dSCutO9seQ1E61sHAGNuGTMWOyGB8efs8iiskDdKe+DoUNdc0wMUVfZycsSv0IX6+eQ1ZJSV1Bt7nYmMxztuHiqrUQC83bonMyMLWO8E4+OARSsuFkZC1MtLHxC5+3CKpqERQfArnXFwOj0NUejauRcbjfFgMBvi6gSY6Ik0u7YWlvjAYDAaD8e/BVJ5aES767hhnOxUGGkaCORQEkbom3vOZhdlOQxvso6n0RPA3dcC+/kvQ28q9zvbowoZ6+nwH+zM8O+Dk2AXobeMsmNITgUjHzmjnj3NzFuLVLt2goyHz62k3uSN4WJrjsxEDcfG1F/DOoD6wMzakLiErDykuJjr+K0b0wcE35uD0uwvxyfiBuB2dxPXjYDAYDAaD0bpgDkUrw0zLAm96fgRzkSxfuqSCrkNRMwCf4zIM7/rMgmYbdWpKT4owFulidbcZeM1nAFdMTSAqT/lyUrK0IN1cNw+egm96DIOBplQTnHTMpilTW4O+SITl3XpyjsUUXz8uBetSQhzKlNRz8KUmHer0y/OxasoY+NtZU5OQbQxbE0NM6dYe74zuy0VOGAwGg/HfpiblqaUtDNVhv+6t1anw+gi22vaCRCjkGWgViG87LIWRpl5typMQqLVRw2KvPljXcw7MnjQzopn2VN9Zmurhj1NjF3L1FVllxUgoFOa6CEQq9n+DhuLI9NnobGuHqwkJEJKadKiNsyZhtJ+3oLYYDAaDwWC0fphD0Uox0jTBcs8P4aLnzls29mn4Gbnit46vw1HXSpAIhTxdLVy4FKgu5s6c0pOQ2OgZYsPASfi+5whE5mdDaLzNLbBh7ER0suVfr9FUTHT517swGAxGS0GIaHJ9yiolKK+S1aMJRWqprHEsg9HSYQ5FK0ZPQx/L3N+Fq76HUklZWtjomOOXgNfgpNewsR5tSP+JtT1mo72pNAIjJCRaMcm9HQba0y0mbgwjbdVVnhgMBkOVQbjQ9U0pRQWIy88V1EZiUR7WRdwS1Ia4shxv3duK0kphUlNruJl9F7uTDqK1UlXdpkUuDNVhDkUrR0tdG4td33gmtoi603j7Ps/EloaaOjwMn42uPkHIrsIMBoOhDElFBUolwg1eC8rK8ObB45wEs1DcT0/FmD1bUV4pnI3I/ExMPbsZuWLhUnxJVOLdoO24mR3F1bwJxaOCCPwetQ7iqsablDIYLQnmUPwH0FTT5GoQGAwGg/H8pNhcCo/FtN93CjahcScxGWPWbsWj9EzoCtSl/WBkGKYe3Ims0hLY6EsV5mjzICcV089uRXppEfQ1tQSxUVFViQ+Cd+JqZgS3ri7Q8Cm+OAnfR/yBiuoKVDyDtCoGgxasDwWDwWAwGM3kcVImdp4PwtDOXujq7Uj19YvPysOGMzew/2Esenu7QFuT7k816Xmz6spNrLp6E1XV1Rjp2/yu8k+DnPfn29fw693r3LqhSItTtqPNzYx4vHhpN4qe9A8yEMChIM7EJw924UK6TBVPCCcvS5yD/4X/gtLKMm79WdRp/FsQP/wZlLs0i5b2fJ43mEPBYDAYjFZJmaQcWpoa1AZ/FZVVuBgcjR0X7uNeZDLszY3wwcyBoEVRmRh/nruJbVfuw9VQWktFHAqaJOXlY8Wh47iXlFq7zcfKgqqN0vJyvHnuOI7FPK7dZqtvANqcT4nCy1f3QVwpG3jTjlBUVlfhi5B9OJ32sM52dcoORUlFKf4IX4+8cpmwCYlSMBjPC8yhYDAYDEaroLhUgoeRKbgfloR74UlwsjHBhy82bMDZXPKKSnHgagh2XQxGWm5h7fYp/TpQ6a1SVVWNQ/cf4afjV5BVWFInmaa3V91Gm3w4EhqBj0+cQZG4bm4+TYciragQL5w4gIeZdRWKbCg7FIfjQ7HixmFU1BMc0X/SP4gGRMzk69ADOJ5yv8G+Nk96ItGgrFKMfclHkFqVQU5cS3mVsIXfDAZNmEPBYDAYjOeSguIyBEck4354EoLCkxARl4HKKmnegpG+Nr5dPoZKWtPx22EQl9ctKNbR0sTY7r7gy8PENHx18DweJKY12OdiYQp7UyPeNogDsfL0eex7oLiRpY8lHYfiQUYaFh3fj4yShlLlNOsndkTdx0d3jkNRhgqtlCdSG/N92GEcSrqjcL86pbpEUifxW9QaZJRlAPV8ofLq1p7y1LLETljKEz+YQ8FgMBgMStKj1aioqER5RSUqyish4f5WSdefbC8vJ3+ruHUne1NYWzZ9wJxbUPLEeZA6EVGJmUoHAa/P6gcTQ13eaU3KGNXVFwa6qks8ZxUW4+cTV7H/TqjSY3p5OYEvD1LSOBWn+FzFzTkt9fVgri9tFsqHI1HhWHH+BMoqFA+C7ShFKNaE38D/gs4p3U8j5Yncyz+HH8OehJsK95PoBI00OmJnbexWBOeFwgYNnToWoWA8TzCHgsFgMP4lMrMKuVlWS3P6+eU17D9yHw9CE9HBzwH+7Rzg5GBGtaC0srIKH393GJdvRTZrhq9LgDO+endck44ljsjnfx3D2ZuynPzG6NbeGcN6+qC5kLSmv4/eqJPWpIyp/fyhCsTJ2n4tCKvP3GiQelQfPvUTpCh63Y07+OniNa4IWxnePNOdyKCYFF7/dPtao8fxTXkidn58eBGrHjVuh2+EgthZ9fgUdsRfVXoMLcnYfxIP4GLmNaXpU6yGgvE8wRwKBoPBUEBGViFy8orh7S5cs0Yy/p71whrMmNwV0yZ0gbY2fenOAX288feGizh3MZxbNzLUgT9xLvzs0b6dA9ycLaCurnr6BvnfD14bjmUfFSAiOr1ZzoSWqGk/QZoa6vho8VAY6etg39ngRo8lqUjvLBikktM0JNCTq5fYfPoO8oqlSjuK6ObjCFcbM6haeE0GrfZmRghPyVR6nEhDHQFONlCVyzFxOPM4+qnH8a2fWHXvJn67e+Opx/FxKIhz9Pm9U9gSefepx/KNUKyJOotNsRcbPUaNQv3EibRzOJhyvNFjWrfKU5sWmPLUsp7P8wZzKBgMBlVIgamamrBfzCTdpa+RCXR1hNGcJ6RnFeDtL/bhp88mC+ZUWJjpc4PqDVuv4ujJB3hpQT/07+NNNYJAHIiJYwKx5R+pfGd+QSkuXXvMLQQ9XRHatbWXOhntHODlbgUNDfVm2dDVEeHbDyfgpXe3IyVdplJDw5moQVukibfnD0QXP0d8/tcJlJQpLlhdMrknbMxVy9fX1RZh3tDOmNLXH6sOX8P2cw2LcQnT+gdAVUz1dTG/byduiUrPxpcHz+NWdGKD47xtLCDSUP0nuq+bC7cUSyS4n5SKz06eU5j2xLd+4uXAbnihQ2fE5uUgPCcLn1w+izxxQ2fMlkcNBYkIvNm+H2a4d0RqSQFSiguw8v5plMmpO9Wgr6HFSx62m7kHfIzsUVBegvzyEvwecRIV1ZVUIxSkbkJXXQcLXGZyaU2SSjGuRDdMr2IRCsbzBOt2xmD8ByAzoim5BYLbuRuZhNP3mpaWwodL96Kx7sDTZ0X5kJdfiqISMZZ/shvhUQ0LZmlAHAdXF+mALiOzEJ99cxivvr0DEZF07U0Y0xEiJQP44hIJbtyOwV8bLmLpG1sxcvKvePvjPUjPaN79kpldCHtbE0GciRrEkgrcDUtU6kz4ullj0pAO4EuxWIKrIXEK9xGp2J5tnal9Lh8myORb5Wlrb0XFhp5IxPWxUFZD4WttyduGSF0dXmYWMNHWqXUmtNTrvsfW+vq8bJBUJk8jC/S1cYO1rkGtM2GpLTsvsUmei6poqKmjvYkTelt6Y6RdR7joWdY6E856FrWF2HwbxWqoaaCPRXcMtuqLETaD4KbnimpI09Jc9Byho67d6iMUjNYHcygYz0XHWHlKnjQwEpLyyko8zskS5DUi4fsaUvILsO9BqCB2xOWyH6MDdx9h46Wnpwuo8jqRFJEaSP75zvOKZ3X5QAb2cSk53OOsvCIkpuZi5/F7CI9tWopNU0lMycWF64+5wty8gpJa27Sdipt3YvDrn2ex7/A9Lp1HnoehSVj8+mZ88/NxZOcU8bKzc+8tzFj0NybNWQ2JpGmDk04BTli2ZCCsLJs+o/z5T0exaMVW3LqveBBOw5kgka+lX+7C7lNBSlOv3l80mLeMK6nXeOmXvYjPyOXWbUzrvg60pGIlFRV4bcthlD75nI7p6AM9LZnMj6+dFbXP6EfHztSufzJ0ALwszbnHupqacDQxpmKHfK/978al2vXVQ0djvKdUBctcR7eBg8GHv8Kk0TbCj93H4KOOg7nH+hp0G+ftSZBNWrzlOwa/BM6DnoYWlZQnea5kyexMcRiHlX7vw1bbmotQPKvf1WdNdQtdGKrDHIpWAgmh3skNwpGUU5DIaVeH5ocjtTSdqi73jaxIvHN/G7LEssLFU6nBuJ3z9Hzd5nA/KxmLL+9BaK5sILf60TUciVcsfagqkTlZeOH4AZyIiaz9YXzr/AkciYqgaietoBBL9xzCmuu3a5s/Ld1zGFdi4qnaKSwVY9nmw/hg9ynuxyg9vwjfHL6IyxHKB3uqDlTeW3sMi37chZyCEi46cTsiEcExqXgUT3eg/93Gs5j74VbsP/sAV+/F1r5PX609xakF0eKfQ3fw0beHMHXJGhw/J3P0aDsV94LjsffQXfyy+gxu32v4vpAxxLFTDzHrhbXYvvsmJHLOYXMoE5cjOSWPK5x+Gi5O5vjhyyn48uMJT4001MfLzapO+hNtZ4JA0uhG9/OT2tAW4d2Fg+o4Y3NGdYa7A3/5U3LOBcO6cGktrjam2PLOdHTzcaIqFUsg6UyvDukBHZEmAl3s8PmkwXh7VB9un4e1OUz1dajY0VBTw7I+3WGup4vuzg6Y0bE9Vk8aA2MdbXhbmVMrMCZnebljVzgbGaObrQP6O7riu/7DMNjZnWpTO/KdNsejE/xMrNHe1AbdLJ0wz7Mz/tdlJIy16LxmNZAoRaCpKxed6GTqii7m7ljbdTFsdU2p2ulk2gFues4wExmjnZEPbHWs8YXfewg08WdpT4znBlZD0UrYkbgfx1POwEZigaC8h+hqFojjaWexLX4Pvm7/ITU7exNu4ruww9xjT0MbLHDtj40xF7E68hR+6Dibmp2LqdFYcPEf7rGWujp+6T4O3z+4gD/DruODgEHU7MTm5WLork3c4DQ6LwcDnVzx6ZVzOBAZhsne0sELDUok5Ri7bhtyS0txJTYeQ7098Mul63iUnqFUZlHVH9slG/YjKF6aRtHByQZXIuJQWCbmlvisXDiZN2+wqIzf9l/BuaAo7vGLP++GgVw9wz8XgvDZXP4NxQiX70Xj5DVpQfE3G85AR1sDdibSQevj+ExsP34Xc0Z34W2nuESMkxdCawuyySJPjVNBo6YiKUVx+kl9SkolXCrS0ZPBWDCzEywsmjdgJo6BqYke95ecKyomo8ExhgbaWDC7N0YP94eGisXZIwb64frdGIwa1B6erpaY+cp6qs5EDWP7tUNmThFG9m4LW0sjXLwThevBcVwDu3lju4IWI7r4QFdLhPYuNjA11MXikd1wIyyet1RsfYb7e3HOg5GOFjTV1TGxsx9OPoiEt400gkArrW64jyd6ODtykxhk3d7YCL9NGIXTEVFU7Yx088IQZ3fklpVy6xpt2uC3waOwO/whVTsjHH0w3MEbeRKpHcJkV394G/NP35JngLUft5RUiGvtuBlYY1XnhVTtEMfBodwGJuYmUG8jdZJ1NXTwhudLVO0wGELCIhSthO5mnWofn8u4jFXR67ElfheqUAXNNvSUYwbZtIPmky+8/Ym38WXofs6ZIMin8vClp5UL7HSl+vTHE8Ox/PpBzpkgFEqUq680FxdjE/RzlEozxuTlYMrBndj2SKoik1r0dOnIpqIr0sSsTlKZSXFFJaZv3oWjj6QRkNjsHM7hoAH50SOznjWzjl8fulAnMnEpXDq7T4PZgwPhZCl1TmJSc7jIRA0n7kRwUQsadG/vjLmju6BmIrVMXNcBW7fvOhLSpOkpfNDT1cLPn0/F4D4+0NBQ/NVIK1LxwZsjsOa3uXh3+fDa62qM5NQ8bN11He9+ug95+U1/XQf29cH+bS/jt+9mwNfbts4+dbU2XLH2trUvYPyoAJWdCYKBnjZ+/mwKBvX2hrmpviDORM39/cLEHpwzQejT0Z37+97CwdRs1NDP341zJgj+brZclEJVqdjGcLcyg4Whfu31fTZxEAa386Bux0hHG9aGskhBVycHvN63J3U7xDGy1JPdA9oaGpjtp3oRuzLIa2WiVbfPSDtT1VWxGkO3XqG3kaj5/U2agqZa3d9qUqvBt16jpas8tbSFoTqt8079D0Bmoksry1BQXohscS701HVhKpL+yIbkh+NK1s06BWA0IAVixGkINHPl1jPK8ut0ESXpULQgdsY5+9U+PpwgS3MqolxDsbhD59rH99Nlg+IUig4FYWHXTrAykP7QZpfIBoXEDYvMpFev0c3dETN6KB74XAqnl/ZkYaSPn14aAy1NdYV56Puu0pmVJIpDL03thalDOyrcTzoY/2/daSq5xm09bfDK/H6wMFOeokHDqdDV1YKnmxUKCksb7d1A0m+IAtOsKd2wYFYvfPLOKBgbNX0wI68WFRMrkyjtEuiC9avmc7UShgZ000R0tDW5AnDazoQienV0xYSB/ujgbQ+h+WzuEJWlYpuDrYkh/CgVZD8NfbmaDQaDweADS3l6TiEDhb1Jh3E09bRsW3Ubhd02Ndvwe5tPpATh69ADKK1sfCBfxbOkKbogC+/dOoak4jxklBYpPVtRuZiXHXFlBX69cx0PMtO5wuv0YsWFr6lFBdwglY+EJ0lpuhwdh1sJybiXlIxiJZGIsPRM+Nvxm13LLCjC8eDHOBIUjtAkxTUMd2KTuGgIiZjwoahUjJ0XgrD1zF1uQK+I3ReDMXdIJ27Gkg8lZRL8uPk8jlxSXrx+LywJhy+GYEy/dvxslUrw9sp9SH2K9CmN9KfSMgl27LlVZ5uWlgb8fOyeSLjaw8fTBlpamqiqqkJGRgbniKha0BwdlwEHOxO8/MIAdOvsSlWaVh5y3mH9fLFs4QBBnQmChYk+ls/uJ6iNWltG/FSKGAwGozXDHIrnmBmOE5FXXoCrctEIRfCNUAyz7YDk0hz8FSlTClEE35QnN0NzrrjujRsHG3VNCnk6FERtZICTG/4Je4isUuXpI6UVFZwEIpFCVBUS7j8eFsk5Fo1BHAq+MpcrD57HmZCop3bpJZr3/XykUSZVCE/MwKu/70f2U1KaMvOLce5+FIZ28lLZVkRcBj76/WiTUpp+234JPfxdYG6i2sCPFHd//N2hJjdn4+tUHDoWxCkvkcF9TQ8IErXQVBDx4UtuXjHmz+yFCaM7CnL++qxYMlgwh6U+9VWyGAzGc0BLlFVqac/nOYM5FM8xJLdyietcFJYX4kG+cuUjvhEKwkK3ASivqsT66PNKj6mkkPJEiu10NUR4+epehU2LaEQoCIHWtjgwcSYWHT+A8Gzlg3mS9sTHoXA1M8WuuVPx48VrWH9TuWzr0xyOp0HkJn+ZPZorwP7f4QuIzVQ+ACd1FHwcCm8HS2x/byb2XH6AvZcfIqdQuWNBJGT5OBQO1sZ4c+4ArpHd/bAkPIpJQ0Wl4ohIYYkYP245j6+WjVbJVmGxGBNGBGDMEH9Iyis5B4Okbkn/VqG8vIL7W7O9ZtvZK+FwcTDjIgnNoU8PT0wa24lXl+qmYmaqj6kTZKl9QvOsnAkGg8FgtAyYQ/GcQ6IPr3suwRePfkBcUUKTCr1UZbH7IEiqKrA19rLC/dWU3Pt+tm7Y2HcaFl3erdB54BuhqMHewAh7x0/Ha2eO4kycYslbUpjd1tyStzzkuwP7oJeLE94+fAJZxQ0H4BEZWaisquKtb9/Lyxn73GZj+7UgrD5zA0XihmlqpEibbyqXhbE+XhrdAwuHdcGpe4+x83yQQqnYGglZXyfVcsKJPGjXdk7cQiiTlCMkMhVhj2NwKywTD6JSuWZnNZy7Fckp//TtJC3WbQ4mRrro0ckNzwobazr6/wwGg8Fg/NuwouxWAOmq+Y73q7DSaig1qAZ6KhGcgpDnMEx16q5wfyVFlafOlo7Y1n8mTBXoitOIUNSgpynCX0PH1inMrl9HQYterk44vGg2+rlLVaXkIdKxcTlNkxJ9GiINdczrE4ijb83DhE5tG+wnHbOjM3Lo2NLU4KQ0iVb/xremYVgnL073Xh4iIUsLbZEmOvrYY3B3b/zy7kSc+ftl/P3xNLw0pRe6tXeGrrYmvt90lktHYjAYDEYLpSUqPDGVJ14wh6KVYKRpiHe8l0FXve4AXJOSwpO8U/GG9yiMd2io+0+7o6efqTV2DpwNa526ijtF5XRVnkhU4L3ufbkmTJr1BsO0lZ7M9HTx1+Sx+GhIf4jqFSvzraOoj7mBHr6YPAQ7X5mO9g51c/xJahTt+6K9qw2+WjgCR79ciBdGdIWpgS51CVlF+fPtPW0xd0wX/Pz2BJz662V88/pYZOby6zDNYDAYDAaj6TCHohVhqW2BSfajoa0mU4LRoFA/oWjw+I7vGIy2C6ReQ6GoUPufgbPhqG9CPeWpPqSR3fYxU2AqVzNB26Goef1md+qAPfOnw91c1nE1jGcdhTLaOVhj29Jp+GrKUJg/GeTT7EehLB3q2JcL8fm8ofCwM8e+K/QaWzUG6aXg62YNFzvh5T0ZDAaDwWBIYQ5FK8NK2xKvey6u7bZJO0JRA0mjet9vPIbZdBCkD4U89vrGnFPhaSSVxC2ukHD1BkLQ2cYeByfOhKeJGfXmdvXxtrTAvvkzMaOjvyARCnnU1NpgbKAvjq6Yh/l9A/EgMQ1FZcKmBcmnQw3rrHphNoPBYDBaFyShoSUuDNVhDkUrxM/IB0vd5nOPNSh2ya6Pehs1fNxuIgZaP2lAJ6DmmqWOPnYMmIUOZtJuvyWUm9vJ42BojL0TZqC/owtSKNZQKEJbUwOfDhuA1ZPGIK2wkHraWH30tbWwYkQf7Fk2E3kl9DqOPy0iY2/BCpAZjJaI0N85hLyyUsFtROVJhS2Efq2uZSgW8KBJpjgXofmNS4AzGC0N5lC0UnqYd8FspymCRShq0FBTxxftp6KPpQ/vPhRPw1hLB5v7zUB3SyfB0p5qMBBpYe3w8Rjt7i34dREGerphw/SJqBD4B7EGZwsT2JtKO6szGIyWh7i8AjkFxYLaOBsWjfsJKYLaOBcTg9W36jZwpE12WQnmn91Dvb6uPttjb2Jb7A1BbVRWV+K78I2ILkoS1A6DQRvmULRiRtgMwni7kYLbIU7FVx2mo72xo+C2iCrTur5TYSjSFtwWKdZ+p1sfPCtFfSsDfd5dpRkMhvCQPiThsU1rgKgKKTn5+PnAZRSWCTdAPvowAq/9c5i3VHVj3EpKwstHDkOspHcMDcSVFVh8fh8Si/JRIOBE073seHwfehJZZcIKPmyLP4awghhkiOko8bVU/m1FJ6VKTwyVYQ5FK6e3RbdnYkekpgFvI7tnYot0utbXlBWeCw1r0sVgMGp4GJmCuR9uRUxStiAvyp3IJMz54R8k5xTA2qSuwh0t9t0LxVt7jqGyqhq6zWzI2FQeZWRg0cEDnDMhVOSVpCC9e+0E7mQkc+uFEmEcisyyQrx5ZxcqqquQJRbOoQjKi8CexNPc44yy1u1QMFofrLEdg8FgMFoNyam52H/4PoYObAsPN9UaKiqiuFSCP3dfwZ7TQVzxZoCPPWgPjnddfoDv9l7gBC7cTE2gpUn/J3rbzSCsPHq+dl1XJKJuIzY3F3P370ORRBphqaoSJm309wfXsT8mtHZdCIeivKqCcyZqHIkccRH3/tDq71RDUXkJfo7dUtsgtrVHKBitD+ZQMBgMBuO5hgzG7wbFY++hu7h+KxquzhZ4+YX+1M5/LTgW364/g7RsqeqbtZkBbMwNqaZQfb37HPZdC+HW1dqgto8LTdZevo0fTl+ps01XRDdCkVpYiDn79iK7pERQSfEjcWH4IehynW1C1NZ9F3oS93MSatdJlCJfUgoTLT1qNsjrsz/5HPLKi1CTY5tRJkwErMXQEhvJtbTn85zBHAoGg8Fg/CtOAN90wpJSCU6dC8W+Q/cQnygbgE0cE0glVTG3oAQ/bb2AU9fC62ynGZ3ILijGm+uOICimbnG0mYEe1df6j/M38MeFhgXFehQditzSUszbtw/JBXXV8UhqFU3uZ6bgzSvHGmynHaE4nBiMHbENC8ozxUVUHYp9SacRV5wMyL0VhRUlKKkog66G8PWCDAYNmEPBYDAYDMEoLhYjIS4LCfFZSIjL5v4mJ+VgxXuj4etnxyut6fjphygqrjuINDTQxqB+PrwH4CeuhuHnrReQX9RQXjnAm45D8SghHcvXHEJ6XsO8fFNDWYNNvtfy/anLWH/1boN96mptqAlBkPSmBQf2IzKn4cw6zQhFclEBXji3jyvGrg/NCEV4fio+Cz6kcB8pzPY0pJNOF5IfhR3xJ2AHWZPTGjLFOXDSkEqlMxgtHeZQMBgMBoP3oDUvr0TOcZA5D1mZDZtDvrh0YLOdifppTcrUnEcN84cWj0LjlMx8fLP+DG4+jFd6TAcKDsXxO+H4dPspiMsVKyDRiFCQ2oUvjp7DztsPFO4n9RM0IjniigosOXQIwWlpCvfTilAUlYux8NweZJUpltOlFaHIl5Tg9dv/QFzV0GkhZFMqzM4vL8L34ZuU9nBKL8uBk17rdChaYiO5lvZ8njeYQ8FgMBj/EmSQXFxUBn0DHcHO//PKQ2ij1gauHtZw87SGi4cVdPXoqaQdO3Qfa/88j8KCpjUv69HbE5Omd23WNRw5+QB7Dtytk9akrCP8uJEBUAXSFG3Xyfv4a89VlIkVDyQJ5sZ6cLBSvVEjsfP74avYcOZOo8eZ6fOroaiorMJHB0/jQNAjpcfQqJ8gCk6vHz+Ga4myOgMhIhTkdVt26TDCczOVHkNDNpY813fu7UVySa7SY7LEDZ3k5kIKu39+vBXZkjy0USJOTiIUDMbzAnMoGAwGQwmVlVVQVxdOXZvMDr+9eBNmvdgXPXim6Sg7f7+h7fDu0s11ttvYm3AOhqunFedkuHpaw9LaSKXZ6uGjOyA3txgb11x86rHWNkZY8d6oZtkhxwb6OyE8IhVJyTmNznb37u4BK0vViqWDI5JxNSgW5RWND35JdELVWX0SMVi58yz2X5cWXzcGn5Sn8spKvL33BE6EPG70OL4OBXH2PjhzGiejGu/qXElh6vfLO+dxLqnxLtU0IhSrIy7gakbj10OjF8XB5PO4kyNTqFIWoWAwnheYQ8FgMJ5LyGBGaP787QzmLOgNA0r57IrQ0FTHZyv+QZ/BbfHyW8NhbKpP9fwBXVzRva8Xrl+MqN2WmpTLLVfPh9Vu0zfQhquHFVy9rDlno0c/7yZdNxlcz5zbCza2Jvj+68MolyhO4dHUVMeHX0xQ6bW0sTbC268Px6yp3bFq3Xlcvhap8LgJYzpCVTr6OHBLQXEZrgfHYtU/V5D+RNWJVv0EiaB8MmMwXhnVAxHJWQhLTMeqo9caOEnkNTXmEaEg0YkFPQMxsp0X0guKEJ2Zgx23gqk7FOnFRfCxsMCKnr1QUi5BQn4+jkTI7jP56AIf4gpyUVpZjume/tx6RkkRzipwLvg6FDGFmXiYm4R+Vl5cv6PC8jJcy4xWWJTNh8SSNJxLvwUvA2foa+iivLICeVkNnYcMcStWeiK3fEtLMWppz+c5gzkUDAaDKhUVldDQELbjd25eMe4/zMTwwe0EdVjOnwlFRno+Pv1qkmANDq1sjRERmoxLp0MRdCsGL60Yjv7D2lG1N3tx/zoOhSKKCsvw4F48YqLSseQNG87BaM5rRRZdXS0u/1wRS14dBC9vfvngIpE64uKzFO5zc7GAv58D+GKop82lNWXkKE5r6UhB4cnMUA89DPWQnleoMOJiZaQPDR4drHVEmmhnZ412T8pU1l2RpVcZamuhoEw68NbR5OdQWOsbYF6AzIn74+ZNHIH0PnM2NkZcXh6VCIWzoQm+7j6sdv33B9dqHYpOlna1je0KyhsW0DcHVwML/NV9Tu36hqgrtQ5Fb0sP3MyKhaSqgncNhYOuNX4LfK92/UjyRRzPusA97mneAQ/yIlFYUcya2zGeK1inbAbjX0aopk/1iUpVPBCjGSkgg7Dfd9bVhqdFaZm0SRbhwpUI7Np/m3qUQiwuR3yc9HVKTspFfl4Jrl1+jD07b1K1ExmWgoP/3MSjB4kwMZUV3xbkl+Kbj/bh4+XbkZmez9vOnq3X8OKUP/DKrL+adHyvAT5Ys+tlDB7VockODbl/331jB/73+UHu9VJEv4G+GD0+EHwgak6vv7sTicnS3HYD/boODy2p2PyiUny6+kRtgeakwR1q096MDXTgbNtQjUcVSsQS/HHkKveYPO1VS8fDwdyIW7c1k/6lgaSiEltu3OceEydlz5IZGOLrTr2pXVV1NXaHSlO5NNXUsHvqNLzbuzdXHcA3QlGfo3FSp0WtTRv81X8CNg6aDBMtHeqysZfSZZGwTzuMwa6+i+FjZEMl5UmeB3my1LQ5zmOwKvAD9DIPYM3tGM8Vz51DsWrVKri4uEBbWxuBgYG4fLnxwcvFixe548jxrq6u+PPPPxscs3fvXvj6+kJLS4v7u3///jr7P/30U+6HSn6xtrZGS6KiqhLhBbG4mnm/ziCLPCb7aEHO9ygvBX9GXEBJhaROIRtp9kOTqPxs/Bp8FSnFMk3zsopyxOTTzSslmum/3biBkPT02m2ZxcW4EBtL1U5ucSmnBX8+IqZ2W0hyGlZfbKgNz4dScTn+On4D2y9IBxEE8pgUgtKEpFWs2XsNX/x9klsng4ZPVh3HhduK01H4sGHrFby0fCsXmUjPyMfd+/GIjc/C/QfKC0FVYefWa1g8dw3WrDqLe7dl79PaP88h5EEiNTsk1WjVd8exfME6HPynoc79rSuReHHKKhzbd4eX01SQX4L4mMynOq0mZnr48Jsp+OjbqTA1N2h2Go+nl03teueurnX2OziaYfk7I3gP9vV0Rejdw5N77Oxoho2r58PO1piaVGwNutoiDO/lww3y+3Zyx5tz+mPJ5J7cvg7edlQjR2O6toVIQx2ju/iih48zVr88AeaGurA1a9578LR6irH+PlxkYkQ7LziYGuPHKSMxsaMfdHmoYdVHUlmBkZ5esNTTw0BXN5jp6uLFTp2xdtw46PKMhNQvAu9v7wpnAxN0t3aEmbYu+tm54tjoefA2saRmh3zuOpk5cfKwxImw1DaEm4EltvVehHGOHUATDwNH2OpYwlrbDDba5jAWGeAdnwV42X0aKqvp/X63JKqr27TIhfEfSXn6559/8Prrr3NORc+ePfHXX39h+PDhePToERwdHRscHxsbixEjRuCFF17A1q1bcfXqVSxduhQWFhaYOHEid8z169cxdepUfPHFFxg/fjznTEyZMgVXrlxB164yJZK2bdvizJkztevqlLS7afFb5HacT78Nh3IzBDq3h7OBHbLF+Vgd9Q/mu4yDnS6dL1pSsLb6sTQ062Vkjf7W3kgpycMH9/djqVd/dDZ3pmJnT9RDrLgqbVykq6GJRW27cI7E0osHsMSvK1yN6MwS3kpKwvTdu7jUSdLh9avBgxGakYEXDx3EzPb+6OfiQsVOWn4hhv+6EWXlFWhnZ4V+ni64FZuEpdsPYmhbD9DsuDvp681Izi6AvrYIwwK9cCMiAd/uvQBPW3PQ5IPfjuDiHWnxYhc/J05u8354EreemlVArZPwvsP3sHH7Ne7x8vf+gYuTWe2M595D99DR34mKndTkXPyz7TpXiL1re10nr6qyGl9+sh+r1y+EsQl/Oc/I8NSnHlNSLMYvXx3BhVMheO2D0VBXYUzm6WMLHV0R3LysuRn30KCGDtigkf5Y/MZQGBqpnrM/Y25PxMZkYNqsHvDxtcO44d+jrLQcWloa+GjlBC4Vii9kIP/ivD4wNdHjnAcTYz3Mmd4DX/9wjLdUrDyaGupYOrU3urZzhruDubRGZEQn3A5JQIAXvYZ2uloiLBvTC5N7tedsEuzNjbFq6QTceUzPedXTEmH54F54sU8XlEjKuW3qamr4YuwgBCU+/T5sKtoamnirVy8s79ED+WWy1KP+Lq4ItFWt34giSJTl7Y598VZAnzqqTjZ6hviy2xBqdsj7/rL3AG4plZs801TTwHz3XqDJRPvByBBlwMTctI7D2t1cWjPCYDwPPFcRih9//BELFy7EokWL4OPjg59//hkODg5YvXq1wuNJNII4GuQ4cjz5vwULFuD777+vPYbsGzx4MN577z14e3tzfwcOHMhtl0dDQ4OLStQsxClpSbQ1koawCUH54Tiddh0v3/0SN3MewkLbhJqdzuayAfal9Mc4lBiEiRdW4U52HCy06RWT9rKROSZH4yNwMOYRRh/ZxEkGGmjSk7zsYGMDUx1pkeiRxxHY9+gRpvyzk3Mu1CnORFobGcDPVtoI6WFyOn4+cxUvbt3P/cCXPvmRpwEZmAzsIHVQisokeHvDUXy8RRpBSM4poJoiNLafX+3jbzecwbp912vX74dJHQsa9O3pCQc76T1MohLnL8tqAa7djEIqhdQggoWVIRa82B86OorTQEg/hf99cYhzOPjy0pvD8NZn4zGiCWlAwXfisHT6aly7EN5s2936eGHfhXfxw5oFCOjs0uB6V/4yk3sefJwJAnnNVn47FX7tHaCuoVZbK7FsxXC4uNKbNSaDrcnjOnHOBGFQP184OpiqLBXbGIG+DjB6IufLFVMvGYbuHehMMMhjY2oIc0OZk+ppZ4GpfegPJIljYSHX24K8lgGO9HsckAE/iU7IY6hF7ztb/vkbieqmvQlV56SjQS81rDGIs8JgPK88N3evRCLB3bt38e6779bZPmTIEFy7Jp29rA+JPpD98gwdOhTr1q1DeXk5NDU1uWOWL1/e4Jj6DkVkZCRsbW25tCgSufjqq6+4FCpliMVibqmhoECatlNVVcUtfCkqL0FQfgT0NHSgr64LC5Ex2lS3QZtqYGvMUUgg1VE3ExlCA+oq2yTpUiF5KZzihbaaJqy0DKCrJkJZpQQH4+9jX9zdWs/UVFOX17XllZWi+onMgmabNvA3tcbDnDQEZ6ZgeWZKrR19TVEdO+QxGSirYru6qgrDPTyw/cEDlEgkePvkiVo76m2k56bFnO4BuBcvLR5ce/l2rR3iVKhiR9l1LxjUCfuvhaC4TIx7UdKBvVobkgolQV5RKYz0ml5s2xjd2jtj/IB2OHD+IZdmRaj5Pb8fnohhPb2p2DEx1sWPX03Bolc3oaCwjLNRs5DrP3DkHhbP78vbDhk0TpjSGe6eVnjn9W0KmxyRNKgdW65gxhx+M5S2DqbckpaSU/uaNYZEUoGTh+4h4kEWXvtwFLS1RU2+JgK5R9JT82ptjZrUCfOWDuT6UdC8x2vwaWsLG1sjDBrqx+v8T/tsk8v76uMJsDDXF+Q65DEx1OEWoe3IF7k/C1stCT7f5c8zz+K6W+RrylSVWhXPjUORlZWFyspKWFnVbXdP1tOUdOck2xUdX1FRwZ3PxsZG6THy5yQOxObNm+Hp6Yn09HSsXLkSPXr0QGhoKMzMzBTa/vrrr/HZZ5812J6ZmYkyuXCwqpAvnwdJjxBWIMvztq82g3mlAaolZLQl/aTaaVgiIyODl63r8SE4nyabFXYAmbXTqfNlIFJTR3FOPkrayOodmsvJhMfYFfmwzjYfjYZRD7XCEmQgo84XZX5+PveaqDVBGYWkNK29ewdlFRVcPi5np96MGkFbLOH12hWWiTmpxqyiEuSXlnHrXgpmgg1RqZId+esOiU9HTFo2krPzucVGT50knTf4n8i4BDhaqN6Ui5CTX4zQ6DSERqUiJjkbbtYN7WRmZPC+7wgk9z/kUTLOXQqDmYk6zEz0uCJPK3Nt7v4jt+DDkCgkJXlAJOL/dRYXk4ntW67C0UV5Dvul80FwcTOCm0fd743mkp9XjOtXHsLRvWFqmIaGGiytjTkFKBs7E1jZGEPXoA0sLM1RUJCHJ/MTzaK8ohgB3ewwdloXOLtZoag4H0WKGw7zJrCrLczM9XnfA035bGuqg8q91pJo7ndaa4Fdt3Dvd2Eh/2Z8DEarcCiUhTTJF25jYU5Fx9ff/rRzkjqNGtq1a4fu3bvDzc0NmzZtwhtvvKHQLkmdkt9HIhQkPYukShka0sktn2s2AW8EfVfb/IaLUKAaSZo5qH7iUDibOMLSkl/KwSLzIbh7IwN3s+OUHmOrbdLAMWsusywsEF5ejH+iHjR6nLWVFSz1jer8CJH3i7y2TfkyJq9HUkUFvrgorQVRRpWuDq/XjvzngPJqvLbzMFc7oYw2uvoq2ZG/budqTfx68h5SchofaeaVt0EnHteUV1CCVesv425Y4zne0WklUBPpwtxY9TS4lLQ8fPzlQcTE1e2My3002wCxicVPogjFCArNwqih7cGHMydD8PO3R1HxlMZmhF++O48/1s2HGY/i2c1/HED0oxwYmehyjeW4HhCk2ZyHFeyczOpI75L3mkxGNPUeV4SvnzuGjAmAlja9Alll8P3OUfWz3Vpg183eb9oQYRoGQ0ieG4fC3NycK4SuH40gM1PKBrKk1kHR8aQeoiayoOyYxgbHenp6nGNB0qCUQVKjyFIf8qNI64fRQKSHt3zm453gn1DxRAmCiBQQZ6LGobDUNuNtT0tNDd92moypl/5CRpniAau5tj6V6/q8+xDEF+XjWlq80mMMtXUa2CKDjua8tnM7dkSeWIxfbsjy/uujrqbO+5p6eTjjz9njsWTrgdqCyPoUSyQq26m5bpJ3vfWtGXh7/VHcaqSgMzW3kNc1mRrr47f3JuHIpVD8uu0iCkuUyzQGR6RgcHfV057sbU3x+ftjsf/IfRw//RDFJbLCSOJI1CyEfYfuYfQwf5VzqCsrqrji5ZlzeyMhPotbEuOzIRYrdgRzc4rx9WeH8N3PM7maAVV6dQwY0R4LXxsMUzP9Jj3v5t7j9Rk7rRueR/he9/MKu272ftOkpX1+WqKqUkt7Ps8bLesOawSRSMTJv54+fbrOdrJO0o8UQSIJ9Y8/deoUOnXqxNVPNHaMsnMSSG1EWFgYlzL1b+Np4IS5LmOU7rfUpqOGRByGHztNgUYbdaX7aaCppo7V/cbB1VD589anVCC3rFs3zOugvJhT/Un+OV86O9tjw7xJnGyjImgVZRvr6XAKMTP6Kb8mov5EY6Azuq8fdn47DwO7SGU8FXE/XFovwgd7O1O8ungg9mx+Ca+/NAiO9orvC74SssQp6N3XGzPn9cJ7n4zD6vWLcOj029i862Ws/G4qXlw6EMNG+sPXzw56+tL38WFQAjasaTzKpQwSfejU3R1m5gaCFZIyGAwGg/GseG4iFASSQjR79mzOISCOwN9//42EhAQsWbKkNs0oOTmZq3cgkO2///47939EOpYUYJOC7B07dtSe87XXXkOfPn3wzTffYOzYsTh48CAnD0tkY2tYsWIFRo8ezSlGkegFqaEgKUxz585FS2CsbX+us+ad7NAG+yy16DgUBH9TB7zXbji+eHCkwT4zLXoKT0Za2lg/cBLGHduMPHHdehNSkE0kD2lABnIf9uuHvLIyHAgPa7BfrQ09f7u9vTU2LZiMhZv2Iqe4br8OZZELVdBQV8PbE/txEYsv/znLycjKk0LBoajBzFgPXy4bhaF3o/DdxrPIzK2bkF8jIUsDIjs6fnRHjB0ZgDv3Y3H+4n3EJkg72NZAU0K2pqDZhtQw2Bqja3f3OimROdlFSIjPRmJ8FgoLSmFgKFUDYjAYDAbjv8hzE6EgkH4RRH3p888/R4cOHXDp0iUcO3YMTk7SQURqairnYNRAGuCR/RcuXOCOJ70mfv3119oeFAQSidi5cyc2bNiA9u3bY+PGjVy/C/keFEmkV8H06fDy8sKECRO4aMmNGzdq7f7bkIHx656zYC4yEixCUcNkp04Y69CwqY85RYeC4Gxogr/6TeA6rspDUzK2ptPqN0OGYKACxS4if0gTb2sLbF4wGZZy0o01DgXtjs/jurXF2mWTYGZQt2A6JYeOxKo8fQLdseObeRg/sG4NQ2xyNnILFHdO5jPI7xTgjLkzemLLXwsxaWwg1/CMtoTs0z5vJLIQEOiMMRM6MWeCwWAwmkt1C10Y/w2HgkAa08XFxXFpR0RGlkQXaiDOAHEe5Onbty/u3bvHHU8a3dVEM+SZNGkSwsPDOWlakspEnAZ5iMORkpLC7ScRkJrO2i0JQ009vOE1F6QsW6gIRe2sfvtRXOdQIVKe5Olq7YCvuw+rs81ARF/PXFNdHb+NHIkudnYNnA3auFmYYcvCKbA1lhXmV1VXQ1wvkkADfxdbbH9rBnwdrepEKGg7LwR9XS28M38Q/vxwCpxsZH1PgiL4pz0pw87WpE46lL2tCQ4ckXUHZzAYDAaD8Wx47hwKhnJ8jVzRz7JT7bqxpgG01Ok35NFW18RPnafCSFOW5mGhpbraTWNMcm+Hpe26CRahkO/y+vfYcWgrp05DO0JRg6OpMbYsmAwnM5l8K+mBIQRWJgZY/9oUjOwsLY4malM5hXSjBvJ08LbH5i9nY/7YrlBXV6Pa4O5p6VCb/lyIfr28BLfHYDD+ewgxEaOIquoW2C+CwWgCzKFoZfQw7wB/Yy9B0p3ksdM1wbeBk6H2JCIiRISihhUBfTDcyVOwCIV8N9cN4yfAxcREsAhFDSRCsWXBFLhbStXGaHbLro+2SAMrZw/DG+P6cNdEozC7MbREGlg8uSc2rZzZoIZDSEg6lI/Xvy+UwGi9PItBZUqW8Gl7wfGpgn7nECqrqnDkkax/kVBE5GTieorqggxNZWfsXRRI+PeQehpb4k4+M+fl36VNC10YqsIcilYGKSRe7jmTi07QTneqTw9LN7zqM4B6UXZ9yCD4x16j0N7MGoYCOhQEc11dbJ4wETb6+tRUnpRhYaCHzfMnw9fGEsUC/7iTVLU5AwPx+0vjUFiqXOqVJu4OFnhr3sBnYovBIFRWCje7W1omwZptMrEOIQiLT8fKLWcEtZFXXIo3th1Fen6RoHbW3b6LXQ/qNiqlDWlM+tblEwjOUtzclhYZpYX4IeQsQvJSBLXzuCAR2+JPI+1JbykG43mCORStEGORIVZ4zYW1trngtha698YgGx+YadUtNKaNjoYm1g6YCC8TCwiNnaEhNk+cBHNdYa+JYKKngw3zJsJE99moBPXwcUYPH6dnGjVgMJ4Fp48/wJmTDwVzJt79cj8ehAlXE5SRW4Tlvx9EVp5A7cufdJ5/b9dJpOUXcotQhGVk4qdL1xCdnQshWRdyB8GZaQjLFrZT+v8enkJRhRgPc1METXVaFbUP1ahGaH6sYHYYDKFgDkUrxd/EC+PthZ8dJjPfXwUQNSbhFYgtdfXxkt+zac7lZmqKQFvbZ2LLUEebi1Y8K1jfA0ZrQiwux4/fHMW3Xx6GlXVDpTtazsS9kERoairuw8OXkjIJXv/9IDLzilEkYARx/aU7uBQeW9vkUgjEFRV48/BxlFdVIb2oCEViYerDYvNz8cPdq9zjRzmZEIrL6VE4liSVZA8R0KG4nxuJ8EJpU9JHBXFo9fzbak5M5Yk6zKFoxRDlp2eBDqVGc01ByLoGBoMhHDkZBdj6+xlkpuZRO2dSYg6WLd6I44eDuHVHJ3PBnAmCpoa6ILUGH647gYgE6Sx7Y93n+XA3Nhm/npQOwAmpAkUofrx0DY+zsmvX43LpRymIMt47l09AXCntZB+dl42yCsVd7flQVlmOz4OO164/yBEmQlVQXozTabdq11mEgvE8whwKBoPBYAhGeHACvnlrJ+YO+hZBN6JhYSNTN+PDpfNheHnhOsRESQfi+vraMDHVE8yZEMqh+H3fFVwMkjVpLBGXc04GTXKKSrBi+1FUVsmKfdPy6DsU1+MTsf723TrborPp1wNsCwvCzTSZglxldTUi87Ko2/kz/DISi2UOUXpZIdJL6b9uW+JOobhS5kjGFaeiuEL4AnAG4z/bKZvBYDAYLR+JpAJXTjzEoW3XEPFANvAbO6sH73OXl1fi7z/O4sCe23W2OzqbUUvnU+RMEDQ06c7B7b/8EJtP1h2AE4pLJVTrJt7ZeQIZBXVrM1IpOxSFYjHePnqyQW+wGMp1FMlFBfj69sUG2x9lZ6KduTU1O9EFmVj3+FqD7STtyUqHnjx1VGEyjqZchQNkIipVqEZ4QTwCTVuxDHZLbCTX0p7PcwZzKBgMBoNBLa3p2K5bOPbPTeRm1VURMrc2QveB/BqCpqflY+VH+xAe1jCX3dHZXFBngiCiGKG4FZaAr7edU7ivuEwMWpb+Pn8L1yLjG2ynXZT92enzSC1seM6YHHoRCiKn+t6VUygub6iK94hiYTax80nQUZQr6AnxMDcZA229qNn5LXIPFMWjHhXEtm6HgtHqYA4Fg8FgMHinNR3ceg1XToagolxx75FR07tBg0dR881rkfhm5WEUFpQq3E+jfqIxZ4KgQcmhiE/Lxdt/HlEqc1tUWg4jCqVpN6MT8cfp6wr3kZQnMqClEdU5Hv4YB0LDFO6LyaEXodgXFYqLSYoVkMJy6DkU++KDcSdLcW+LBxQLs8+k3+EKsNso6H8QwpSeGM8ZzKFgMBiMVsr5/XdwetdN6BloQ89Qh/ury/2Vf1yzTwe6htrcX03R038ayGD44tHgBmlNiiDnGza5s0rXUFVZhQ1rLmDnFsUDY1oRiqc5E7RqKPKKSvHabwcaLb4mSk9GIk1edjILi/HW9mNcAbMiSiTlKCB2dLV52ckoKsJHJ88q3U+KsklNiLoav3SxjJIifHbjvNL9YTmZVBykXHEJvgs5rXQ/SXmiYae4ohRrog8r3U9Sniqrq6DeppWWula3kS4tiZb2fJ4zmEPBYDAY/yJ3L4bByt4M9m6W1M/de1QAjmy8hPuXwpv8P2rqanj9u+kYPLXbU3uMmFkZQrMJA99+o/xhZNL8gunKiirs+ecWjuyXynY2Bp8IRVOcCQKfCAuBdI5/e/URJGY0rnTFSccaqe5QkAH82zuOI7uopNHjSNoTH4eCDKzfPXYaeWXKC4jFFZVIKSiEgzE/Sd+Pr51Fvli5nQKJGElFBXAw4Gfnu5AzyJOUKrdTXob44hw465vxsrM57gRyy5WnnZVUihFfnAZX/WcjX85g8KWVur4MBoPxfJCekI3lY35A8NXH1M9NBsDvrpoPA2PdJh1PIhVfbH3pqc4EgczQ+nd1w7ebX8D/Ni6CZzt7pceOmalaMba6hhomT++KzbuW4v1Px2H0+ECFx2lpafDqQZGZXYQBvbyxcHpPTBwZAD8vxYM4vjUU5+9HQV9HhL7+rtziaKlY8aqIZ1H2liv3kZidBw9rM3RwsoGVob7C4/gqPW0PeoBLsXEw1taGh7kZzPUU32cxPJWejsVG4HjcY0423FbPAKbaOoKkPd3Oise+eKkEsZGmNoxFiu3wbXAXW5SKA0nSrutaapow0FBsh8nHMp4nmEPBYDAYSigrkeDMgXuCvz5FeSX4YMYfOLmj8bQeVTCzMcLo+X2eepy1oxl+PPQGOvbxbtb5iWPh4GKB4kLFs8dtA53h7qv6LCs5v6WVEfoPagsbJZKzDk5mvLqyO9qZYuxQf8yb0h2vLxoIKwvD2n062rJIgYYGv5/MIZ298OMrY2sXK1OD2n3O1jKVn2Keze3m9QnEmfcW4cDyOdi2dBrszaTOFsnS6eHhSE3paainO0LffBV3XnsJxxfOgZuZ9BrIOzHBz5daHYWzoQkuT3kBEfOW4/r0JXXUnBb6BUJLXZ1KYbYa2mBnvwW4PnIFbo5+G10tnGv3LfHqxTkZhIc5/ByKvPIifOo3H5u7foBDvf+HHubtavfNdhoKSy0T7nFoQevtmE0y8VriwlAd5lAwGIznkrBQYbrWVlbIioqP/nOTa8amrHhWVXIzCxB6OwZVcv0GSHrPzyu2Y93KA3W282HrD8cwu9NH2P7TiUaPa9vFFT8deROOHs2X3czLLsLbc9cgOU7aB6B+/QUNqVhCVmYBNm+4VDuwf2nZ4FongmZDu8zsQly4Lo0WWVsYYtMv8+DiIE1vodkpO6egBHcjpLUnXg4W2P7xTEzq155bLyqhJxtbVCZGcHwq99jX1hJ/L5yAlZOGwEBbi7fSk7meHrQ0pO93eWUlglPSuMckWvHtyKHYNXMqvC3MeSs9+ZpZwtHQGCJ1dS7NKiQrndtur2+Ej7sNwJlJCzDSxYuTjuVDoLkjOpjaw0RLGml5nC91UIgj8Zpvf5wa+ipe8OyByAJ+jkuAiQe6m/vBRsccam3UkFQiPZ96mzaY4TQYG7q+j5fdJyCtlH4PDwZDKJhD0UogxVuppdmILGy8OJIv5Ms8pSQf51Mfo7xKsZoLLdJLinA2IZrLjRWSvNIynIuKQVphXZlL2hSLJbgQFoOodFkXWQLtJlaS8gpcCo7B/ci6XV1Tswuo2iGD7Ku3o3H2iiw/XyypwD+H7oA21688xoa/L9Suhz1Kxv8+P0DdzpVTIVg2+Q9ukEyiE3vWXUJ6ci5uXWh6DUJTOLf3NlaM+wlzOn/CFU3Ls2f1Wax8YR3KKHRMzs0sRE564+/7gAmd8dXOV2BsJpstbw66Btqwc5IOuB3dLPH7vleho6dFTSq2hsrKarRt58A9njStGyZM6YKlrw2h7lCUlErQqb10Fn/88A6wsTTCH19Nh7+vPTWVJ0J+cRm6tXWCuroaBgV6QktTA+/NHIivXhiBaoqC+HklZejm7ghtTQ1093DiIj7jO7fFgeWz4WIhi4rwJb+sDF0d7WGgpYVAe2lEqqO9LQ7Mm4kR3p7U7JRUlMPP3Apm2rpoZ27FbXM0MMaqgWPwTuenR+KaCilmd9I3hZW2ATyMLLnXzUikgzf9BuGHLhNAEwttE5iI9GGvYwENNXWI1DQwzr43/ue/hPvNZTCeB9pUs7v1mVBQUAAjIyPk5+fD0FAWTqfFRw/X4GZWGJwqTPFj3zdgIJLOsCQUp8NMyxB6SnI0m8vnQcewPUY6YDwy6CW4G1pwjyPy06GvqQU7XTpdcFcH38T/bktnIzcNnYR+Di7c43sZKdBoo4b2FrKZVDKbm5GRAUtLS6g1U0nkaFgEXjt0THptQwZgRoA/9/hSTBxKy8sx1MuDyvWQGcI5f+1CRWUV5vcJxIqRfbgfigN3HiG9oAhLBnZt9jkVXXdmXhEmfryJa4zVq50Lflk2jisEXX3wGjJyi7By0XAq10OuY97rGxGflAMLM33s+vMFlJaV472vD3BNzf7+bhZo8cPXR3DiaDD3+OfVc6GpqYZfvt+PyIg8HDi5Arq60sErX4jT8NkrWzhVITIw7trfB7vXShto+Xdzw/82LAItXh/1AyLuxzV6jJufPT7Z8CIsbE1UvsdJXcbnC9eg2+B2MDbXx76/66rkzHlrJKa9NpS3Yg15z9d/fxzTFveHsZk+Nv18Cjv/Oo95y4di6ov9VD5v/esmnxniXAZ0coGOjlRXdfWvp+Hn74DefZuXqvU0EpJzYGKsCwM97VpnmWzzcKFbPE8cC4LREzs1kwI52VkqfacpQ1xeAXFFBQx1+Kk6NWUgThSk9LWar3vbnPuc3AtllRXQ0eCnhtUUJJUVEKkLp2FTc91m5mbQFOh6hB6DNPd52P/2GdQEvhebS1VpGZJe/eRff42eV1iEopVgpyMd2BOSSzKRWpqFb8O2Y9m9n6GtRkHQ/AnyyhaPCzKQXJKHd+4cwPizf0NXnZ4dd2OZnYdZaUgpKsCy80cw/tA2aFL6gSV4WshmNu8mp3BRilcOHMGC3fuh+SQvlwYeNua1WuNXI+ORnl+EpRsP4sM9p6CvTe91MzfSg4WRtADzxqN4RCVnYfEPe7DpxB3oUrSjoa4Gb3fr2oLWPUfvYen7OxD8KAkSuZQhGrQPcKp9/PO3x/DJe7shedLrIDG+brSHD26+trBxkM7YJkRn1DoThOAb0Yh7LE3noMHUVwej3/hOtTP5iogOScLy0T8g8oFiPfym4NfNHTuCvsJbv81Bu+4y51ikrYn3Vs/H9NeHUelDIBJpYMn7ozlngjB+bk8YmeqpLBWrDPJce/T2qnUmCC++PBAdA2W57rQgdRU1zgRBS6RB3ZmocSTknYmazxdtSAREaGeCQAqnVXEmVLkXnoUzQRDSmZBHXY3ebw6D8axhsrHPKcG5UTiVfhvOutZw1LOCnobsh2JV1H48Lk7k0qACjD14fUnFFWVjW/RtzpEg4V/DJ0VphNXhlxBflANJVSUc9Uxq805VgcgBbnx0D/b6hlxerJmO7Fw7Ih7g96Ab3GyUSE0dbnLORnMh6UWHwyI4VRKiSEJygEmIvlAsxrmoWJyJjEaxRNqF1dVUWhinKhGpmdIfV20t7geWqK3cjknC49QsjPlhE4rE0jxpayPVUk2U/cgO6uSBtUduclGEGV9sq83/J+oyNJk4IgAnLzziHv+xUTb4VtbYTFUGDfXDsUP3EfIgEXGxmVxhqb6h9DVLiMuClw8dWUUzS0N8s+kFvDFtNTJSG8p6Ht5+Ha9+Op6Kre5D23PLL2/vwIlt15Qel52Wj7cm/IIVv86Ge8fm1zeQdBqyyGNiYYCP178I7470B+E1GJroYeXf81WSim0u5Pr09FvWTCeDwWD812AOxXOKn7Er/oo+iFNpt2q31cyAhxcmoLqNNO/S10iaKqQqTnqmSCzOxZZomZ0aIgtkBXB+JvwGdUZa2sgsKcaPd6822JdcJMsBdzcx4wrzVIU0VyKNmFYcaVikSpyKGkgUxJ6nbjqplSBa8IqocSYINsb8HIp7j5Ox7Nf9nANBkG9kJV9MrK/DLzWIaPX/vOYcktPykJdfgjwlHYtJihVfCvJLEPowCY9CkxEWkowoJdGB+CeFwDSIepSC7avOKnQmCGcP3se85cNgYEQnffDCgTuNOhM1iEsl+Grxeiz4dDjGz5PWDKiKs48tPt24GFb29HLnleHe1k5wGwwG4zmFNbZrdbCUp+cU0j3zFY+JTz2uraEz7xnvjzoMh45646Hl9ib8Bw/vdu4LO/3G8xbbmvJPOVjYORCd7Rt/vk4mxtDgmVo1soM3pnaTqrY0hjVPh6Kjpx3emt4flVXV3KKsho+vQ6GjLcLowe0RGZuB+OQc5BcqdigqKvgXmRcWlmHTukvYueUagu/Ho6xMGjWqT0I8f4ciJ7MQn7+yBa9O/A3Xz0ojLooQl5Xj5N7boEFSVDp+fXtno8do6YhgamUIB3creHVwQmxYCm438vyehrO3DX44sPyZOBMMBoPB+G/BIhTPMb5Gzhhi3aVOlEIeErHw4elQEEih9Ss+fbkOospoxzNCQdAXifB1ryGYc2KP0mN8zGS1InyiFN+NGoqR67eiWKJYntH1iZ46X94Z1RcPEtIQlpKhtFGWqR7/Ge/xvdshLi0XW0/dVXoMjZQnP29b/PDxJLz5+R5ODUcRpKCUL3b2pvjlz7lY/ctpHD10X+lxCXH8ayhMLQwwY+lA6Bvp4MKRYJRLlD//I9tvYPzcXg3SiJpLfGQa5r4zCroGOpxdPQMd6Bpqc3+5xwbadboyyxerqoq1Iz0lJAaDwWAw5GERiuecRa6joKeuOH/YSc8a+pp00jPmuHeFp6HiwQzRzvYxbn5+tyL62rtgkkdbpft9KEQoCPZGRvh4kHL1Gb71E/KFkD/MHAk9JUWKpH6CRlEsYdnEXlz3XWXwjVDUdyp0lTgoNCIUBC0tTbz+9gi889EYaMs1F5MnNSUXEjF/B4Y0Xnvjy0nYfP4dTpmIyJ0qgpaEbM/h/hi7sB8GT+nK1VK07+EBdz8H2DiZw9BUr44zwWAwGK0NkpXdEheG6jCH4jnHRGSAuS7DBUl3kkdTTR2fBoxUuM/d0BK6GvQKfj/q2h8WckXZ8via8o9Q1EA6uQ72cFO4r6bjKw2czI3xxaTBgqQ71Y+8EFlY0iRLEQYUi7Ibcypo1FDIM2hoO/y+Zj4cnRvOsFdVVSM5iV7zJ2NTfU7mdMOpt/D+TzPgp0A96ODWp9c9MBgMBoPxX4I5FK2AMbY94aJnozAliiYdzRwwxbljg+3tKaQ7yWOsrYMvejQcgNvqGXD7aEEiAyuHDYKZbkPnxdWUbp750PaemNmjQ4PtfAuy60OkYX96ZSwnH1sffUr9Gp7mVNB2KAhOLhb4/e/5GDjEr8E+ovREGxIh6D2sHb7buhi/7X0VgycE1naApi0hy2AwGAzG8w5zKFoBRBZWUYF2W0N+Ck+KeNNvIMy06g5W+So8KWK4iydGuHgKku4kD3Emvh7e0HlxNaOT8iTPipG94Wcv7exaA03J2BqsTA3w86tjOd18IVKenuZUkKiBvLoULXR0RVz607IVw6ChoSaI0lNj6VBbLrxbmw51aNt1QW0yGAxGq6a6hS4MlWEORSuhvbEb+lsG1K4ba+rDVod+EaaRSAfvthtCXeFJEZ93HwRjLVl9iK8ZfYeCMMDdFdP829WuW+jpcr0paCPSkNZTGMoN7K2NpY3AaOPjZIWVC4fV2Ua7D0VjTkWFAFGKmqjSiNEBeOGlAbCxNaam9NQUSE8Fkg618fRb6DbAh+vUy2jdPKv3mDjhrckO6ffTmuxUPLPrEeZ7k8F4FjCHopUVaIvUpMWrvobO1Ip967IgEEcAAQAASURBVDPKwQ/dLaTRDy01Dbgb0qtrkMdCVw+fdBtAVeFJGe8N6APHJ30naCk8KcLe1AhfTh5au25j3LhMLh8GdPTAKxN61q7T7JT9NKeinFJhtjJs7U25uoqefbyQQLFbdlNQ11BHl77egn2+Wgt52YWCnv/CyYcQmjMXwpCdUyS4nfWHbwhuo1RSjrXnFCsC0iSzqBib7wQJbiexMB/bwx4Iboc0b90dp1xpjhY54gIcTb0puB0GQyiYQ9GKMNMyqo1S0K6fkIcMpD7uMIIr1PY1tub+CsV4d1/0s5c6L74CpDzVoCcS4ftRw7jO1rQUnpQxoK0b5vaW1qLYGAkToahh3rDOGNOzLfS0RVzRtpDIOxXlFKRjnwbpjvzJlxMxelzHZzbzymgaZ3bfxMntwqWFhQYl4JevDnNyukJBGjn+tf4Cgh8mQkhuhsRj3cEbKCqRNdYUgl3XHmDvjRDBoy7rb97FkVD+SmhP46+gWzgcLbyddY+v40hiiOB2rmSG4Gy68I5Li2ts19IWhsowh6KV0d3MD466loLUT8jjYmCGxV690E6gdCd554X0prDS1YeToTTFRSg62tnipW5dqBdkK2L58F7wd7ShqvKk7PV7f9ZA9O2gXE5WCKeijdqz+WIm1zd6fCDUnpE9xtMJuRmFX97agSIlndT5IhGX48cvDqKkWILUpFzB3pIde24hM7sIwSFJgtkgjvAfuy9zDSnvhAnnuJSIJVh//jZScgsQlSZcRC+nuATb7wXjYWo60gqEi1BlFBdhV0QIbqcmIbOkWDg7pYXYGx+MO1kJ3GOhyJcU4W5uJELz45BRJtw9zWAICXMoWhlkFpoUaHsaOAhu60XPnhhu7yu4HVt9Q/w1aCwXPRCaV3p2RX83YZ0xgqa6On6ZPQr62lrC29JQx0dzFMvWCuVUGBsqlv1ltG5S4jLxxcK1qCivRIlADsXWNReR9CTNLUYgta209HzOoSAEhwg30D97+zHC46VNL2+ExAlmZ/uVIOQUSd+Pi49iBLOz/tY9lD6JTp55HC2YnbUP7kBSWcnV0J6KixLMzqaoWyivemInRbhoyIHkqyivlr5uFzKCBbPDYAgJcyhaaYG2SF1xIzCaiNQ1EGAmvONCCLCkrySlbKDvLHDKUw0WhsKmO8kj0qyr+MRg1FCUV4x9Px9FcT6/md6i/BJ8OvcvFORKz1NcSN+hiAxPwe4tV2vXowVyKP7acBGSJx3TY+OzkJdfQt0GES74c5/sWm6ExAuSjlRUJsbGC3dr14VyKHJLSrHtrqx2QiiHIresFFsfyQbdx2MeC2KnQFKG7TF3ZHaSHglip7RSjINJst4259OFrz9pEfzbak5M5Yk6zKFgMBiM/yDxjxLxy0t/Y7r9Ytw7+wB6CnqXNBUSkfhq8XokRqXXbisuLKP0TJ/YqKjET58fQlWlbNAdEymzRwsSkTh3qe5s9MPQZOp2Dl4KQWJ6Xu16SmZ+nXVabL18H/klsvciOD4VuU+iFTTZdPs+iiXlteu3EpKQX0r3HiBseHgPJRUyO9dTEjgngzbEmSiukNSuC5X2dCzlFgoqZA5reGEiUkqfrdAEg0ED5lAwGAzGf4TKykpcP3wH7wz5HIv83sCRv06jrESMsa8MV/mcZFZ99Ye7cf9yRJ3ttFOedm262iAiQTvlidQ0/P73uQbbg0MSqNopFZdj7cGGyk60054KSsuw+cK9OttIEORyeCxVO8Rx2HznfgOp1QvRdO0USsTYGFL3eiqrq3GactpTWWU5l+4kjxBpTxVVldidcLHB9gv/lSgFo1XBHAoGg8H4D6Q17fnxMOZ5LsPHY7/BvTMyyVUHL1sEDm6v8rkPrDmPY1tlqTtCRCgSYjOxfW3DgVdmegEKKKYjHT/zEI/loiw10C7M3nnqHrIVpJgRxSeabLl4D4VlDdWjaKc9EWeiSCybza/hTATdgf62R8EokDS8nhOxkVTt7I0LRra44ftDO+2J1EukixsWYZ/L+A84FP92ahNLeaIOS6xmMBiMVpzWdPD3Ezi9+SIXiVAEiU6oqSgpfOPUQ6z5/IDCfcWUIhREGvaXL4+hvFxx0y+S9tShE38hheISMdZsvKRwX1RMBoqKxdDX4y+ikFdUis3Hbivcdzc8EeUVlVCnoFqWV1yKLZcUy5Bei4jn7BDBBr4Qh4WkOynickw8ysoroE2hhqusopwrxlbElaR4LnphIOL//pDICpGKVURN2pOlDn91PhLZ25lwXuG+6KIUJBRnwFFPOKl0xn+XuLg4XL58mftbUlICCwsLBAQEoHv37tDWljUTbi4sQsFgMBitOK3p8J+nlDoTuoY6GDynr0p2YkKT8M3LG5UWEtOKUNy4/BhhD5VHCGilPW3ZeR25eSVKU6FCHtGpo9h05BaKSxvO5hNKysrxIDKFjp2Ld1GsIGpAKCqT4G4MnevZejcIBQqiIISS8nJci6MTdfkn/CGyShW/P5KqSpyLpxN1OZ4UiqQSxbUsNNOebudEcI6DMs7/F6IUjGfK9u3b0a1bN7i6uuKtt97CgQMHOMdi7dq1GDZsGKysrLB06VLEx6v2mWUOBYPBYLQiqiqrkJOai6THqU89dui8/tA10Gm2jZz0fHwy9y+UlSgesBJKi8pQWcmv8Vxaci7OHmu8GzINhyIpJRd7DsiUkBRBQz42LbsAu880PlCkUUeRU1SCbZcbt3MxjP8AnKQ5bbhVt6ahPjTUnohE7F/BiqM6NRyP5a/2RJzjvyOuNW6HUtrTznjF0Yn/jEPxb6c2/cdSnjp27IgffvgBs2bN4iITaWlpuHv3Lq5cuYJHjx6hoKAABw8e5CLCnTp1wu7du5ttgzkUDAaD0YrQFGli5IuDsfHxr3j9zxdh4WCmtCng2FeGqZaq8etJmFoZwrODI7do6YgUHlvCI0pB7Pzy9RGUP5Fv1TdUHIqPecxf6Wn12vNcChBBXV1NMIdizYHrkDyxo6ytDpGP5cuG83dQKqe4pIiLoTG8ZWpJE7u8pyg5nX0cg0qeHc0PRD5CSlHjCksXEmNRUq7cwW0KF9KiEFEg7QuiDBpqT+EFCbif13h9SXxxOmKLnj4pwGA0hS+++IJzIF555RU4Ojo22K+lpYV+/frhzz//RFhYGJydndFcmpXYmJ+fj/379yvMvRo6dCh69OjR7CfAYDAY/3XIwO7K/lvoPaErVcei2+hOXDG2IrqMCICdu02zz0sckaVfTqldLyuVYFq797jH+kY6EJeVo1wsdQJKCkthYKxak8PC/FKMn94NOvrVcPdwQkZaAZZMW83t8/azQ25OMdJT8riC7fLyCmiqmKefmVUIJ0dzDOzrA1cXSxQVl+HlN7dx+7oEuqCMpCGFJiH8cRr3WFtbtR4/WXnFEEsq8NrUPvB1teYcl0Urd3L7evm7QltLA+duRyIiPgO5BaoXmhOJ2IiUTCwc0BkdXWxhZqCHaT9vl9rxdoadqSEO3XmExOx8xGbkwtXKVCU7JZJynI+MwbSAduji6AAvSzOMXLOF29fV0R7+djbYFfQQuaWluJeUgs6O9irZIc7InohQjHbzRk87R3S3dUS/nWu5yeT2FlYY6uKJ7Y+CkVxUwDkVI1y9oCrbou+gv7UHeli6oKeVK2Ze3IxcSQlc9E0x060zdsXew+OCTC7taZZbZ5Xt7E28jA7Gbuhs6oVOZl74MmQrUFgJE019LHIfiaMpNxBaEM9FKVz0m/8ZZTDqM3LkSGzevBlTp07lnIfGMDc355bm0qRv4NTUVHz88cfYtm0brK2t0aVLF3To0AE6OjrIycnB+fPn8f3338PJyQmffPIJ94QZDAaD0bgTQQbnhBtH7uLXpWvQdWRHiLToNKXMTs3Fiv6f1KY+EVvyM9J8pGLluX02FOInNQFDpnbDgIld8PWS9UiOzeRVmG1orIsuPT2QkZEBHV0tPH4kyzcfPKoDhozugP07bmLH+ktIjMuCq4e1SnYszA3w4rw+teunz8tSWnp1c8eYER1w/0ECNmy9itDwFAR2cFLJjrmxHla+NLJ2/XKQLOWoo7c9Zg3vhKSMPGw/cRfBUSnwtTdUyY6Rrjb+Xjyxdj0oVva6+dhbYtnwnnh1eE/svfGQczxUdSh0NDWwY47stz4uR6ZW5GpmihX9e+HV3t1wLOwxkvILoOrwm9y3/4yZWvtZyReX1Wam2Okb4uWArlji3xkXE2OV1lg0Wf64xxRoqqnXrheVS6MvZtr6mOPeBbPdOiMoJxkR+fyiYm96T4a2uiyqV1opgT7UYaCpi+G2XbgltigNwXnCdRv/16luI11aEi3t+VBm/vz5XK2EpaUwxf5Ncij8/f0xZ84c3Lp1C35+fgqPKS0t5Qo8fvzxRyQmJmLFihW0nyujEciXX2mFGIXlJbAU2k5lOQrLxbDU1q/9khcCouqRLxbDVFuH62AtFJKKCuSWlsFIW5uKGokyyisruYZSeloi6GkrThGhAZnRy8kvgaamOoz1m58f35x7ITunCFXVgKU5f9WTxsjOLEBRYRmcXIVVPclMyUXC4zQE9vOp3VaQUwxDU9Wbviki6n4sVi3fgI92vQljC0Ns+WwX8jLycXHXNQyerVqRdH3U1NpA/YmKj3NbB7zy20K8NfAz7n3jKxUrT1mxGCaWhsjNKEDv0R3h5mePX0+8jV/f3kFVOpZ0rjYx00NudjE8fGw5x2vqvF4YPMqfi4pQs1NeAVMTPeTkFsPezpT7juvo74SA9o4opWzHzEiPk4+1MpV+fuwtjfH2nIFcYX1mZiYVO0RlydxAFzlFpTDT1611OhYMUH2GnVD/u58UYFvo6XLfpcY60vQ0LQ0NjG/ny8uOmiI7unrILyuDkZbUjrqaGgY4ufG+Hs02st+Z8qpKGGvporC8DAYaWrXHBJjZcwsf5J0Jbl1NE6I2alDTkKX1uehbcwuDQQu+KY5Po011EyyQLzaS2tRUmnv8fwFS8GJkZMSljRkaqjbz1Biv3v0NoXlx8KiyxOqBb6ksA/k0XruxB8eTw7jHd0a/BUOR6hJjjfH5tfNY/1BaJHl6yjx4mCgPv5EiIjKLSbzu5l73upt38c1ZqVTkhukT0NNFtdnHp3H8fgTe3nqMe/zF1CEY16Wtwpnq5qDouu9HJGHpt3u4YtjFE3pg4ZhutcfTkokkpKblYd5LG1AmLseoYe3x1jJZLj5xMsxM9anYIaks88b+gqyMQrQPdMZ3f83jrjstNQ3xUQXo3tcbtPhi0RpcO/4AeoY62B70JTdgDbkVjV/f3om/L3xAzU50cBw3sC/MKYKTrz0mLh+FH1/4k9vnEeiKP279r8H9oOo9npueh9+XreecCRNLI6yc9iMu7rrOrY99ufn1E8og91vY3Vi07exa+9zJfU0G+tpK6iuaQv3r5pzYzEIYm+pBg9K9rIySEjE0NNUhEnCSoeZzSa5L3g6f77TGJhqIWhWt7wBlkGsh0quqTAI157qJHdLUTkOg3zp5KquroN5GODs1121uYQ4NdY3ncgzS3Ofh8N1KqD1xPFsKVaVlSHzrw3/9NRIK8plKT08XbHzepDu3ucaZMyE8WeJ8mIkMa3+8ddSlMyjl1RWorKrkbpyIgkQuB/MFt5EqfxnmiEtgItKptaOnKcu9IzM3xKEIz0/HntggvN62H/Tl9jeHIokEepqatXb0NWWDEBKlIDzOyeIaGy3y7wQHAyOVoxHkh67WjkhmJ7dEOpsanZWDbXeDMcbPGx3sVMtfJT/cZIa4BjIjWEN2kTQsH5Oeg+1X7qObhyMGtfcADUwNdWuVdTJyiqR2krOx9fgdeDhYYPrQjlTsmJsZcDOsNQo5hMdRadi4/RpsrY3wyosDqdghefEk3QUoRFR4KvfDe+9mDA7sugiRhh5Vh8LUUnpPkTSd+5ciEB+Rgk3fHoWpJd0fFiMLQxiZG3AORfyjpFpnghB5NwZhNx7Dt7vqeeDymFgZ46N/3qhdn/nhJNw99UBlqVhlkHoAvy51Z4jJZ4yPM6EIck5zyu+HMnS5+054hB7g10Bm8ZXUm1OFm+kXMKIsb0dDwAi5PEI6E/KoPSM7LYE21dKlJdHSno8QzJs376k1FPv27VPp3Cq5wsnJybh69SrnUZMfeHmWLVum0hNhNI+z6fewJ/EyOpl6coVd8uxJuoTzGcGILErGQKsAXl+Gl9Oj8N3Dc0+K1Fy4macadsXdx/WMWC6ntKuFk8rOBOFBZhqWnzsmLbqzc4S4UjpYJRyKCsO3ty7jVmoSXIxM8GnPASrbic/Nw4u7DqKzox26OjqgrFyWwnA+KgZ7gkNwLS4BBlpaeHeQLK+6uWQXFWPJ3/vha2+Fjq52MJBLcboVmYg70Um4Eh7HhfNfHqq6mAEZ1L/58wHYWhihrasN3O1lkZyQ6FS88dMBXAmW5mpv/Xy2ynbIbOBfGy5CS6QBNxdLuLlawNLCEGnp+YiNy8L7n+/D1RtS1ZIvPhwHPty+FonSEgmsbIxhZWsMDx8bLke+pFiMt5dsQsj9eDi6G6JPf1fQpPeoABzZdJl7TPorlBZLHVkSsaCJua0pvjv3KVb0/xTJkQ1VXA78fpyaQ1EfFz9HfLJ3hUpSsQwGg8F4vjEwMODqn4Wg2Q7Fhg0bsGTJEohEIpiZmdUJzZPHzKF4Noyy7Y4tcWdwIvU2t3Cv/5N9a6KP1dYW9bfswMvOSHs//BJ6EQcSHnCLPKvDr9Q+HmbHL0+2u60DbPQNsC/yEbfIszlUpsc9zMWDV92Gh4U52tlY4cDDMG6R53CorGFRf3cXiHjMslkY6qOrhyO2XLqHA7dD6+y79lgmC+nvZAMTHnUOJE2ii68Tftp5EbvPBtfZF5mYyS01kQt5Z6O5kNe8na8d3v98f4N9+QWltc4EoX1bfvnFpuYGeHX23wp7GDy8F18rt+miYhFuDfk5Rfho5irkZkolIOWzP2ucCYKeAd2wPElD2vvjEWQlZSvcf2n3Dbz4XQ7neAhBh/6K6+AYDAaD0br59ddfBSvKbvbUNVF7IgvJMSPSsbGxsbVLTAydTpWMp6OnoY2xdj2eekxnM34pISQ/dYGnLA9fEWpogyF2/OyQAesrAY3bIYxw9QRfXur5dGnOQZ78CvwICwZ0go6ocZ+9j68Lbzvj+7eDjVnjaSBd/ZzqpGCpQo+u7ugU0Lg2tbOjGYyNVJMJrcHN05ortn0arp5WvOwYmerjpZWTOcciKzUP2Wn5SrtJ06A4vxh/rdiM2a4vc1KuNcpI9amsqMSRP09RsclgMBgtkn+7gd1/rLEdQUgRHZUcCtJ7Ytq0aYIV/TKazgT73nVUKerTy9wPIjX+BV4TnTrAVEv5ILGzhSMstPkX4Q50coW3qfJ6HXsDQ/iZ8xtEEnysLBp1GEhkopdr85u61Mec6L/3bDxC1NeXf9oOiVK8OKFx57K7H//r4Zy+FwdAvRHHxL+dA2gwfWEfOLoqvxe0dTRhaa1aHY08PoEueOOnWY0eQytCoWuoi+5jOnH9H57m3B39+wwkYnqKQgwGg8Ggz6pVq+Di4gJtbW0EBgZyfdoa4+LFi9xx5HhXV1eukZw8oaGhmDhxItdYjvzm/vzzzw3O8emnn3L75BfS0uHfVnlqtlewcOFClVpyM+hjpmWIITbKpf/6W/FLd6pBR0MTc92Vz+rzTXeq0zAroBE7PNOd5Hm5l3I7PVwcoa9Fp5h0fr9O0FXSV4A0mHK3VtzFuLkM6+4NN3vl5+riR0e9ysXJnNPlV4a/Hx2HQiTSwBsfjVHaTdja1oTavdBvbCBmrRihdL8epXoD8nzb9/HFx7tXYEvMH5j2zjgYKFHDqpGQZTAYDEbL5J9//sHrr7+ODz74APfv30fv3r0xfPhwJCQkKDyeZPKMGDGCO44c//7773NlAnv37q0zaU8cjf/973+NOglt27blesTVLA8fPnzq8yU940xNhUmlVcmh+PrrrzkPi7TofvXVV/HGG2/UWRjPlikOfdGmtnpChqGGLgJN+KcH1TDTtRP0NESCpDvJM9LVkyu8VsRwF3rX09baCv3cFacbDfZ0p2aH1EfM7B2gcF8fH5nEJg0Fl6WTeivc5+1kydVQ0GL+rF4w0Fc8a+/vx69+Qh6fdg5cp2RFWNspvkdUZcbrw9BvfCdBU57ksXS0wMKvZ2JH4p94Y80SuLZv6PAd+O244DNKDAaDwVAN0neNTLIvWrQIPj4+XDTBwcEBq1evVng8iUY4Ojpyx5Hjyf8tWLCAawxdQ+fOnfHdd99xmUCNqTFpaGhwDkfN8jR11Z07d6Jv377c/z0N0kuOCC8J7lB89dVXOHnyJKdlSzwi4mXVLEFBsuJZxrPBUc8SvSwaFln2tmgHjScdP2lA5GGnuwYKlu4kPzB+qUOXBtutdPURYGULmrysoJaCDO8HeNBVD5rbNxD6ChrZ9aVQPyFPL38X+HvaKayfoImRoQ7mz+rZYLudrTEnJ0uTuUsHwEaB82Bta0zVDnHsln8/A76dGr4ntIuy5dHS0cLwhQPx5/3v8MOFz9B7YtfadKjHd6IRdjNSMNsMBoPBUA2JRIK7d+9iyJAhdbYPGTIE164pji5fv369wfFDhw7FnTt3UC6nONkUIiMjYWtry6VbEefjaTXMxMnx9vbGN998g7CwuoI0BFIXfezYMcyYMYNLycrJyYHgDgXxyNavX889oQsXLnAhlJrl3LlzeN7y1Qgk3OTr68t5g+Tv/v37edt9lkxz7C9YupM889y7QrOek0Ir3UmecR6+sNWvOzAd6uLeoGMqX/ztbNDbte5gu6O9Lcz06M3m1/SgmNOnbv8HHZEmOrvTm82vGRS/OrlhlKIbhfqJ+owd0QFODmaCpDvJo60twusfjVGY8kQbkbYmPlr3Aqwc6oaEacvGNicd6sBv0maIDAaDwXh2zffkF/GTXljyZGVlcR3trazq1nVaWVkhLS1N4XnJdkXHV1RUcOdrKl27dsXmzZu5yf01a9Zw5+3RoweysxUrB9aMhUkkhIzT/fz8uMZ9Hh4eaNeuHezt7TnVVhJtIbUbISEhGD16NAR3KMigu2fPhrOTz2u+GvEYp06ditmzZyM4OJj7O2XKFNy8eVNlu88aXyMntDeWzaoba+qjgzF/laL6WOoYYIKTv2DpTvJF0S/6160NGUYx3Umel3vVTakZ5EUv3UmeWX06wlBHFr7s4eUEURNCj82lvYct+gTI3ntdbU1uG21Il2JSoC20Q0Ho0MkFI8bLomNq6m1gYS1MczNjcwN8tmkJdOWiErRqKFRJh+o8LADlElac3Rp5Vulsrc3Os7TV2uy0JNrINbdrMcuT50bSlkg375qFpPorvY56E53V1dWNpjIrOl7R9sYg409SuE2cgUGDBuHo0aPc9k2bNjX6f6NGjeKcENJDbsuWLXjllVcwc+ZMrsibjHlJjzmShaSqrGyzHYrXXnsNv/32G1pLvhrZN3jwYLz33ntcOIj8HThwYJ3K+uba/bejFL0t20OdYrqTPIs8u3OOhBDpTvJM824Hcx1ppMBUWwddbOjO5stHJLo7ywbCgynIxSrCQEcL8/rJcvT7+tBNd5LnpUk9a6M5gd4OgnXi7RLogu5y3ZFp1k/UZ9Frg2FuKY1aOTiZcx20hcLJywbv/7kAak/aCss7F88Skg41eHZfaIoUF/X/W5SViBs0NBWSpPgsFBWWPhNbF65EoESJnC9NyCBi7/m6fX2EYtf1BxA/6WovJPeTU3EvKUVwO2UV5dgUeh/PgrWPrz8TO7sSLzzTzxTj6TUEJAWoZiHjwvqYm5tDXV29QTQiIyOjQRSiBlLroOh4UtdAIgSqoqenxzkXJA2qKRBbY8eO5cbz7777Lje2JZk3fNVbm/3ft27d4rwgkj5EQiITJkyoszxv+WrKjqk5pyp2CSREVj9sRiBfGkIsXUy84KprzXnZfS3aC2bHQdcYw+18uBtnmK2PYHZEaupY2K4jZ2eIkxv3t7HjyQ+0qrZILQU5v7eFOeyNDAW7pmk92sNEV5uz1cvbico5FV23i40pRvT04RSSurWlY0fZsnRhP2hqqsHK0gCWFgaC2dHRFeHV90Zx1+Tqac3r/W7KEtDHC0s+n4A2am2gZ6gtqC0+7/W/scSFp2DD14efmb3I8BSs+/XMM7F19kIYduy+IbidqMRM/PbPRWTmFgj+fu++9gB7rj8Q/JpOh0di1ZWbvM/ztOu+kBCL3+9eR7FY6tgKtSQX5eLHkLOIzMsQ1I6kohy74i/gYX6s4O8Ro2mQdCD5RVFxNGnuTAbhp0+frrP99OnTXPqRIrp3797g+FOnTqFTp07Q1FR94oiMN0kZgo2NDf5Nmj3NZ2xsLKjjoAwh8tXIi6/smJpzqmKXQEJkn332WYPtmZmZKCsrgxCMN+qGe4WPYCnW5bxeoZhu7oO4lCR0EpkLameYuR3O6RljkJlNo3bIFyWZRSA/RKp42I5amhjt4gAPCzNBr4fwYm8/BMWlorK0GBmlxbzO1dh1T+7jiejYBHjbGwh6TWTyfMbE9igsEnP3tpA4exhh1JT2sLYzRl5ensrvd1PpPMwLWdl9UaUmEfy+eBp873GaZOdk4/blINh4GKFjH/opj/Wvm0zGhIcl4PqVB1zTQ6Egr21OThbS0lLRvYsdTI31BLN192Ek7E1E2HX8OiYOkKWR0n6/cwpLAHEJzt55gF4ultASKLJHnmdkQgIyi0pwMzwCLqaq1Tg15bpvR0bAqloN++7fxmBnYVJUCeeSI+DZxgD7Hl7HXI+nN0NVlccFSTAt08bDlEi0M3IR7PNdWFiIFkV1G+nSkmjm8yHKpiRNnjgE3bt3x99//82lwi9ZsoTbTyIbJI2I1DsQyPbff/+d+78XXniBm9Bet24dduzYUXtOMon96NGj2sfk/4ngkb6+Ptzdpff7ihUruAl9koFDfptWrlzJfU/OnTsX/ybN/nbZsGED/k2EyFdryjmba5fcSPIyuuTNJmlSRNqLeLxCMMDUGKUVpbC2tBJ00EHy60ZU5MLDnq56kCKGteuAXt6+XF1FYz9C5L0gr62q1z2+W2cYaWvD0rJx6TW+jOttAi39cJVzFJt63eT0o/t3hq+ni+DdMSeN742gB4lUrulpzFw0GBkp+TA0Vuf1fjeVWa+OQXl5JbR16PQlURUa9zgtHpekICE0G6vfOYCVW5eiXXd3Qa879nEOEqIKsObHC1i1bYlg70V8Yg5CI6TKJv/sC8En7za/KLGpXHt0FVHpJYg9F4bRAzrD3tJYkPf7QtQDROaUEHV7XIhOw+x64hC0iMrKxpU0aVHpppAIrJrUUEihKTztusWVFdiTEotCiQSrokIwObBro78NfDj86BgiqgsRnRmCWQF9YKPLv5GmIjblXECceg5QASSLChBoKky9IBGUYdCF1N+SQujPP/+c6wVBip2JUpKTk3RsRLbJ19oSYR+yf/ny5fjjjz84laZff/2Vq4eoISUlBQEBMql5kqJPFiL5SoSQCElJSZg+fTo34U0+K926dcONGzdq7f5bCJeITBmh8tWUHVNzTlXsEkiITFGYjHxJCjUg0NIQoadFO0Ft1LDIq4fgA1XCgvaBTbJDjuFz3d2dHWvPIyT6OlqY1L09NTuNXffEgR2eyXtkaKCDPj2F+RGsj4mJAYyM9LjP37O4z9VEai2mhqHmva6QVODi7uvoO7k7RArkiIWmpKgM1VXVqJBUYuWL6/DToTdh7yaMM1lcVIacrCKQeaDUpDxs+vM8XnpzuCC2HoYmcXZqainGhwagQzvp9wJNysTluBchtVVRUYW/9l3Hl0tHUv9OI1wMi0VNosv683cwuXt76FJq2inP2ciYWjvnomIRlpHJ9fpRhcau+0ZSEvIl0hqX1OIiHIgKwzSf9qBNSkk+gnKTuceS6ipsjL6FD/yHUrdTXlWBK1khtZP1uxIvorO5MFG/f3siorWydOlSblHExo0bG2wjjsG9e/egDKKy9LQifdJToiXSpDts2LBhjdYLyIfUiMYt8bxoI1S+mrJjas6pit1/k2cxgGytdlrjNTFaH8SJuLr/JmY4LsH6D7YjM0m5VKAQFBfICqSL8krw6dw/UZjLL31PGfHRddPoDu68idBgYdT1gh4m1ln/7a9zqKykn3d+PyIJkorK2vXTtyIQFpdO3U6JuBy3omTXlFNUih1XgyEEpx9H11n/44pMJZEmx2Me11lfHXQLFQLUBpxIqqvTvyv2PnLEJNJDlzs5j1FUIfs83c15jKhCqSPT6qluoQtDWIdi8uTJnJQqUTh65513sHv3bq6LHilWPnPmDBeyIftJTQKRVR0zRrVw59MgKURr166t7YNBwkb189XmzJlTezzZHh8fz/0fOZ78H8lXI/lnNZAqd+JAEEcoPDyc+0uuicjENtUug8FgPEvGvToC+VmF2PH1fsxyWYqV035EyNXwZyI/WVxYtwYsOTYTK19Yh3IJfSWh6Mi6kWFyeT99cQgSMV0pXfK6PQip61BExWTg+OmHoM31kPgG21btvkLdzo3IhDqOC2HD+TsoKmuoqc+H1IJChKTWdYjOPI5GWDrdmiriOJyOr+u4xBfk4Wh0BGhzPFmaw15DaWU5tkTfom7nfHrDZsA7Es5Tt8NgJCQkqLTUCApRS3kikqmk8GTPnj1cTwbSSIMURdbMgpJmcEQZiTgYXl5ez1W+GokykPDRhx9+iI8++ghubm7cNZLGIU21y2AwGM8S/35t4ezngLiQRFRVVuHiruvc4h7ggnGvDkf/aT0FS4cqUSDh+uB6JH5/7x+8/v0MqpGx2HoOBSExLgvb1l7C/JcHUrOTmpaPzOyiBtvXbLqMfr29oa/XMH1VVW4qcChuhsbj1qMEdPGll2J1MbRh59z8kjJsuxyExYPpFRkT50ERq6/exK8TRlGzczMlEbllDe+9VUE3Mdrdm1rjU5LuFJzTMEqwNeo2Fnn2gJ4Gnc+VuLIcV7NCGmy/kBGMRa7DYaOjuowog6EolYp8Nzdn0okc/8knn+Djjz+mW0NBUn9IS26yEIgSQ2lpKVeLwEfu6t/OVyNMmjSJW1S1y2AwGM8S8kU/7pXh+HnJ33W2R92PxfcLVmHN21sw4oVBGP3SUFjYmwmW8iTPqZ034OBuhUkvDaJmKzZSsbrWrs1X0HugL9y96cgkBteLTtSQl1+CLTuv4aWFsj4/fEjPLkRsiuIUtT92X0bnj+k4ZFVV1bgU1tChIGy6eBfTe/nDUIdOke6Zx1EKt58Mj0RkZhY8LMyp2DkeWzfdqYaInCyciY/GEEqKT/XTnWrILy/Drth7mO9RtxmqqtzMDkNJZcNoUVV1FXYnXsIyz/Fo1bTEFKOW9nwo8ixkg1Wu0iHdA0lB87N0JhgMBoMhZcDM3jAwUSxtKmQ6VP2UJ3nWf3kI107QydMn9QtxUYprC6oqq/Hj5wdRUS+lh1b9hDx7Dt5FUrJU/YkvN0LilO4Li03H2dtNa0z1NB4lpSOLSMYqoLBUjC0XG59kayr5pWW4FZ+kcB+521ZfpZMmVFVdjZNxih0Xwh/3blC7v0/US3eSZ33kDUgq6aT2nc9omO5Uw7GUm8iXNIyYMRgtGVb2z2AwGM8hOnraGL6w8bQfkg518+g93DxyF2XFdPrflCiJUBDIoO7bVzYjqpEBelNJTsyGWKx88Bb9OA27N18FDR6EKB4UE4gS0x9r6eS131CQ7iTP6r1XqDhJFx8pjk7UsOXSfS79iS8XomNR2chA/uijCERn8XfG7qYlI7NEeeF/cGYariQ3/to2Wd1JQbpTDemlhTiU2DBNqbmUVopxI0txJIQgrirHgWQ69zaD8TRiYmIQGhrKO4rBHAoGg8F4Thm9dCjU1BSnyGjraWHaO+OwNXYVFn49Ezr6OoJGKMysjWFuYwwDY138/t4uFOXzU8WJefx05aNtay4iIZZf8W9GViFS0qQ1gcq4djMat+/F8rJTWVWF248aH/Qmpufh0OVQ8IXIxTZGsViCjRfu8LZzOkJ51IBAXI0/r/GPUhyrp+6kiN/v3RAs3UmeNRHXUFnNb+B1PesRyqqk8rfK2Jd0hXM8Wittqlvm0popLy/naiJIU7wvv/ySa9pM+ll4eHigffv2XH1wXJzyKGqr6UPBYDAYzyNB50PQob+fIOe2drZE9zGdcPXA7Qb7rJwsMGH5KBiZ022kWSxXlK2jp4XSYumg58M1C+Hd0ZmanZjHsoLsdh2d8OCudDA+bGwA5r8yCOkpeUhPzUNWRgEcXVRvSCmv7tS3pyfuBsWjqFgMR3tT/O+ziYiOyUR0bAaCHyahU4C0sFEVSEpTQbEY5N/7dnRHQlouYpKzufXtX8xBeHwGQqNTcTU4BiN6qN6LID2/CGFJGVI7Pq4olZTj5hP52N8XjuW6Z9+LTcGVsDiu0Z2pvq5KdsrKK3A5Rjr46O3qDH0tEY6HSQf+nw4dAE11ddxMSMSdxGTE5+TBybRu876mQqJeJ+OkqWA9bB3hYmyCbY+kaXWvduwGBwMjXE9JxNXkeNxJS0YnazvwTXcKNHNAoLkD/o6QyuVPcQ5AJ3NHXM2IwbWMWJxJicBQOx+V7ZDCa4K3gQN6WbTDuuhj3Hp3c18MsArg5GRv50TgROptjLfvpbIdBkOed999F1u2bOGUWIlq6a1btxAREYHt27dzfUq++OILfPDBB9i2bRtUgTkUDAaDIRCFuUX4ZNy3WHX3G9i50ykgViQhq8ihiH+UhLcHfoZvz34CE0t6XX6LC8qgrqGGhR+MhbmNCb5asp7bfvnwPeoOhaunFWYv6YFOXX0xsf83XApUZFgqjE30uMWrreqDxxoehCZxjsTcGT3g5mKJl97YikfhKZzyk7WlEexsTKg0biTN7Mb1bYeZwwLhZGOKT9ec4BwKkjGkpyPCyJ6+3ELgk3pwNzoJM3t3wIxeAXA0N8bqk9drHQo9LRH6+rpifFe/2uJtVXmYmoapHdphRqA/nE1NsO9BaK1DQeyM9fPB5A5+nENQXql6Gldsfi6Gu3hihq8/3IxNcSUpvtah0NbQxBTvdtxC7BSXqy4nnCcpRQdTe3wZOAoehpaILsiqdSg01dQxzqk9txA75Fg+zexsdcywpvObcDewRWmFuNahUIMaBlp35BZiJ0dSqLIdBqM+RKmViBeNGDECjx8/hre3N44ePYrhw6XNQi0tLTFz5kw8s5SnefPm4dKlSyobZAgDUYZ4FvAN9TZHc/xZaOqTH7pnYqeikkt5EBpJeQVnS2jEkgqUlAgfjpdIKpCd2XQd7KZSViqp876TAuDQ2zHUlTBOrDvHyaxu+3Ivt56dmosvpv6I/KwC6hKyNby98RXYe0qdl7yMfBRQtEVeMwMjHXy/fznGvzgAnQe1hZaOiJu1z8mg+z6NnNgJv2x8AS4eVlDXUIerpzW3vaiojGrDubnTe+DzD8ZxzgTBzkY6k66hqcapPNFi+pCOeH/+YM6ZIFiZGkjtqKshh6Kd4QFeeHdcf86ZIJgZSCMQJGJRv25CWbpcU+jsaI/3B/fjnAmCsZxqVIFcrwtyb4g0VJ+7dDU2xUc9+nPOBMFISybhWySpa0dfpLqkq7FIB+/7D+GcCYKhSHY9RRV17ZhoqRbVIWiqaWCJ+2jOmSBoq4vQBtL3QV71idgx06IbXWxR/NsN7P6Dje1SUlLg7+/PPfb09ISWlhbc3WXqaGRbWlpDqe6m0qa6maMp0sOBeDQODg6YP38+5s6dCzs7/rNErR3SHIQoYxG5XUND+l8SC29+j9SSbHRQc8TK3ou58JUQzLu8FXezEmEk0salEa9T0/6uz/Jzx7iGRYZaWjg5eR7MdJR/gZNBYEZGBuddN/e6/3f2Ejbfvs/9GG6eOQnu5sJof5OGUj8fvQITfR38OGcUOrry/8yQ605PT4eVlVXtdR+5HIov1p+EqaEe3p83CL0D3Cg8e6CkVAJdHdmP9bWbUXjvs30wNdHD0kX9MLh/Wyp2khOyoaevBWNTfW794b04rHhxI0zN9DH3pQEYNq4jr/e7hrsXw3B+3x288vUUaOtq4cG1SLwz+VeYWRth4Yfj0H98J97XQvJT57q/ivT4TKipq+H7c5/ixxdWI+lxKlz9nfDt6Y+bnI70tGs++vdpTkLWt4cXfr78BXLS8vDltJ/w6h+L4OJHr7cBeR7F+aV11KVunwuFq68999rRRv66E2KzYGikA1Nz6UBcKDIyC6Cursbd20J2m88tKEFlVTVMDXUbDOxp3OPyqk7i8goY6+lwzotQlJaXo0gsgZGONkTq6iqdoynXLamsRF5ZKQy1tKHNw1F56nOprkZWWREMNLWhra4h6L2QXZqHotxC2FvZQl3F1+7fHoM093k4r/wSatp0pItpUVVWhrgPP/jXXyOhIJ8p4jCQzxfBwMAAwcHBcHV15dbJeIL0ayO/XSqdv7n/sHfvXiQnJ+OVV17hOmaTZhkkXEJCKaTgg/Fs2Jt4GQnFsqLF4soyrshLUl33PSirbLzw62lsi77DNfmp8TsLy8UQV1WguEJSx5mQVPGb6Sch7PMJMdyXOCFfXMadM6u0BHqasoEs2V9zjCrsCQ7BwZAwSCqk6jF5paVcNCSruAR69Wa3+FzPoTuPsPH8HRSUSmcEswqLueedXVgCHRE9qeWgx8n4cft5pGTmc+vpuYVcCkV2fjG0tOjZCX6YiNff3cn9JSSl5HJ/c3Lp2iksKMX88b9h95arXHSCpLdwdrKLoK1Dz46egQ7O7rmFZSO+R1x4Ci4fuc9tz07Lh54BnR+5G4fvcs5EjdrSm/0+4ZwJQmV5Ja90E2USsnM+mSyd2bQxwQ8XPqPqTNT8INWXqu08oK0gzkR9nN0sBXcmCJYWhjAz1Rd0AEkwMdSFubEeryhBUzDQ0YK5oZ6gzgRBR1MTFvp6KjsTTYWc31JPX1BngkB+3yx1DKCjoSn8vaBlCC014e0wGCdPnsShQ4e4hTjwZ8+erV0n+/ig0ieSNLN77bXXuOX+/ftccQfppK2vr49Zs2ZxDeBI1ThDODLFeZh781u0M3LBCNuuKKqQ5nSK1DQRUZCIO7mPucIuO11zvO0zVWU7ZZXlmHx+PbyMLDHVpSNyxdLQvL6mFiLy03E1PZYrUtNUU8PqHqrb0dHQwPzj+7gCuxm+7ZFaLM0d1VLXQFpxIa4mJ+Bacjxyy8qwddRkle1YGxhgwc59+PrMRS7/Ny5Hpu4iqajEoZAw3ExI4ooI100bDy0Vf7Q8bcwxecc2rDp1A+M6t0VMhqyZFflhPx8SjfuxyYhIycIPc0dCX1u1TrwuNmb4dOMl7D33AAO7eKKgSJbSYKirhXvhiQiJSUNEXAbemj0AxgaqKf20a2uP9z7bi2XvJCCgvWOdQZC1lRFi47MQFZOBmLhMTBnfCSbGivsjPA1nd0suHWntL6dxdO8dGBjKnq+Hjy1KisVIS8lFYnwSdDsbwNBINTt6hlKnITEyDa+P/B7qmtJBkJ6hDgL6qF4QK8+B348rdFCdfO3x3blPqdY1EAnZ5X8vQcdB7Wu3scEJg8FosbTEFKOW9nwEgGQVybN48eI663x+N3i5+KmpqTh16hS3kDAdKfQgWra+vr749ttvsXz5cj6nZzRCf8sO+CfhAh7mx3ILgdwGaWU5ePnur6h+ck+85jWB1+s4zM4H3zw8g4j8DHwedKKOHvfoM7IuvRt7z+JlZ6CTG+eUJBbm45ubl2u3iysr0G/nutr1XwaO5JVm1cXJHgZaWsgpKcXqenKGg//cUPv4w8H9VHYmCF62FrAy0ucUV3ZcrdvAaML3W2ofvzioq8rOBMHYUAcuNqaIScnBqRsRdfbN/WwbF60gTBzgr7IzQdDX04K7qyUiozNw/0FCnX1LXt9Sm9M+oK+3ys4EQVtbBFsHUyTFZyM1KRepkEZCCMvmrUFRQRmXCz5wtBd69Q/gFaGoQVxWTiRraiMJK8b/VLuvbWc3vPDJ+GZ/ycaGJCDonGK9+rJiMW4cvoPBc/pCQ5PeLGvviXQ6+DIYDAaj9VElcB1ns2OgJK2JpD2NGjUKTk5OXNoTcRyIc7Fp0ybOuSCyVJ9//rkwz5jB4WlgD1vtxvP9u5p5w1Wfn7KMnZ4x2ptIi8eU4Wdig+4W/NRdjLS00dPOqdFjnA2NMcrVi3e4vJ+7S6PHmOvpYkqHdrzskAEoUVNpDANtLczp2xF86eKn+HWrcSa0RRpYOIb/YNNfrvBXnhpnQktLA0vm9+Ntx+1J8W19iDNB0NUTYfTkLrxmUnTlIh/yEAnUx0EJ3FKQW4Iprw5Wyc7B3+pGJ+QhaVA/vvAn5nstw/F1Z1FRTqfzLoPBYDAY/xbNdihsbGzwwgsvcM4E0bC9c+cOlixZwhV31DB06FAYG6umOc1oGmSQ08+qQ6PHTHMcQOXlHG4vlTJUxmKvnlTSK4a7Ni7NuKRDF6hTKDYf5Nl4ofKibp2gTWHmuK9v447L7L4dYaTLP1+/W9vGHbHpQwO5XG2hHIpaOxO7wMqSfyFbjZqPMkgPAiIZygctbU1oPElzUgRJffps02IYmxmoJBV7ZuvTlfAcfOxhZmvKFWwzGAzGf4l/u4Hdf7GxndA0e9T0008/YfLkydBupDrfxMQEsbH8uooympb2tD3+rMJ93oaO8DdufIa8uWlPinDRN8NgWzo554Od3PB+mzaoVFAMbaNngAmedJSESBMmEqkgaiH1MdXVwbQAWR46H7p4OHKOCWkAVR9DHS3M7qN6yo48HTztINJQ52pA6mOkr43Zw/krFhHa+9kr3WdhboDpk7pSsePqYaX8OXR0wvBxHZGVlcXLBnGAdQ10UJBT1GAfGeC//9cCOHo07tg0JhUrLlUshqCjr42h8/pj7CvDYO/ZeOSPwWAwGAwauLi4qDTx+/rrr2PZsmXCOBSk+JrRMnDTt4GDrgUSS6RKMvJMd+xPrSizJu3pQW5Kg30vePWgJh1rqqOLrjYOuJZSN0ef8KJ/Z2rqIaSjaw8XR1yIauj0LuwaCF1KKkzEmejm4YgLj2Ia7JvfvxOv2ok6drQ0EeBlj5uh0k7C8swb1RX6unTsGBvpwtnRDHEJsgLzGpYs6AttbTqvm5uX4oE8Sal6/aMx1CSRSWG2Iodi6crJ6KhiYTaR2zv4h6zWqAY7DxuMe2U4Bs/tCz1D1TXsGQwGg8FoLqShnSoQJdemwjplP8cQh2GAZQA2xZ2qs91exxw9LaSdUGlB0p7qOxRWOgYY49iOrh1XjwYOhZm2DqZ507VD0p7qOxSkFwXp+kqTPr4uDRwKEz0dzOjVeLpac+nq59TAoSCNsyYNoHs97f0cGjgUfj52GNjXh5oNIg1qZKyL/Ly6zb7mvDQAdg5m1ArL5Auzaxi3qB9GzulFRSqW0Hl4AOdIdBrqL1hvGAaDwXjuIMoxNeoxLYWW9nwo0rdvXwgN+4V7zumvoI5ikmNfqLeh+9aStKf6LPDoBpEaXc3xoc4eT3qGyljYvhOncU6TAe6uDezM7xLYoBcFX/ooKMxe0L8TdLXo2ummoDB78fge0BLRnTPwV5D29OriAVQlSsm56tdReLW1w/jpdFWM6veb6DKwLRZ9PJ63VCxJayJOxIbwX/DV0ffRZXgAcyYYDAaD0aphDsVzjpOeFVz1ZEpO+ho6GGIVSN1OfbUnY5EOprjwVyiqD2lYFGgt6yJtINLCLF+6s/kEc309BNjLrsdQWwuzO9GdzScQ6Vgfe2lXSoKZgS6m9qRvx83eHBZyhdcutmYY3pNe1EBZYfawQX7w9uSnJKYIV09ZHYWGhhre+GgM172YJvJKT84+tnhn1TxeNgqyC9FzbBfsSPoLL/+6gNVIMBgMBuM/A3MoWlmUoodZW4jU6c7mK1J7muXWGXoaImHsuMjUnub5BcBQi04NQH0Gy6k9zevcEfoC2enrI1N7WjSgM9VO2fKz+l39ZLmOSyf1pKKIpaj42s5GquCmo6OJF+f1gRDIS8dOX9AHzu7KC7X5RihMLAw4RSddfX6KW4ZmBhj36nBWI8FQiuQZSQSTJoqZBQ3rg4QgJjsHFQLr29dwP6NhHZ8Q/J+9swBr8/za+I0Fd3d3KAVaWirU3d1lXbtunXfe7T/91k47a7utsrq7re5KlVKKS3F3CJAE+K7nTQMBEgrJ+7LSPr9d70WsObElz/2cc+5zrzANwrqWJhdswxdVI6q0ZY/dCzXY7lk7KApDBcVz4vZE0FbTZGZPcIWk7ElbTYMRFJzFcXZvnJ7tx34WRMJgD7eGJu253dnPgkiQzKOwMNDFlFB2HKRaK3vq4maDsMDWrXGV7aMgzJkWClMTPU5iSEqenN0sMO0lxXsaWoNYw/K0NPDFxldgYWvCSQzKs01BUQViE3M6LN5Xm85AKMONjW2KK6vw/o5/IXoyI4ZLTickYu3N25zHIQv8RWcOIZfPvVA6lBqJzYk3OY8TW5aKP+L3o7YDxAuFwjVUUDwH2OqYwV3fDqNtekBbXZO7OE/KnqY6B8JEkzunGlt9AwSYW2GWTwDj/MQVjiZG8DA3xbxugTBoxQZZWXzsLGGmr4NFg3tAk8XJyM0J8XVkpki/PqUPqz0NsvoorK0MMXk8O3a0srB3MmNmRbz7v3HQ4Og1I4LivV9mwzNQuaGMFPaoFdXh6KG7zA57R0CGMr775d4OERXkOZ29G48fd13k/Plll5TjTkomVp+5Aa5JLizG79duIionl9M4SSVFyK+qxP+uneX89YsqzsKqmEvIqCzhNM6jssdIrszC8Wzu3ycKhWuooHhOGGoVjEl23JSfSENcnV5yZ7c5Vhbj3L2xqEt37uP4eWNeCHdZEIKqqgqm9grAxB7szNGQh5G+NhaND2UsZLmE9FEsWTiA9YZvadTV1Zi+CdKMzRVjXgpD2Fhu33tK+1BTV8X+Xbew/MtD4PNrOH/5NDTUUFFZ0yGiokZYy2QM9l+KxM5z9zmNlVNazvxde+EWrsRyOxMquaiYKXl67+hJmTN32CK6MI/5eyo1Af+mxHMWp7pWiLiyXFTXivDNgxOcipfo0sfM3y2PT6JCWIUXif96gB0dbMc+VFA8J0yw7Q0zLUPO48x06QYbHe7jzPMNhKUuN+U00izoEczYxXLN4sE9wFPn3qV5wRjuxR7JTvQNFZelcUn/YexaBTdHkSnYLxLEnvfWpVjUdkCJjjQOTqa4eC4ar7/8D1KSxItIrtBQF7vUdYSoqKhqFEi/7LmMK5HJnGYoJHy8+2ST82xCFtukh4KQVFSEHy9dAVdEFzV+Fj6/fhbF1dwswGNKchqGq17KScDprFhO4tTW1yG6TCwoKkTVOJPLfdkYhcIlVFA8J6ixbN8qD/UO8tJXe87ikCzF8xKHlFNxWVJFeTYgczMun4jEgqE/Ye/6SygrruyQuA6OZszfjPQivP3qZty9zd0OO3EQk8C1qJAWFHX19Vi29l8kZLQcSsoGOVICooRfjfd3HIewln1hWMjno6ym8XltvhuBqyktB2yyQUxh42tVUM3HVzfPcxLnYbN5S98+INkD9rNlaZU54NdWN5y/VxyP2LKWQ10plM4CFRQUCoVCkcm4Ob2Rl12Cf34+iTkDvsNv/zuAlLhsTl8tByexoCAIBCIc2ncbK787hupqIWcZio4QFRVVgibn+TVCvP3HYRSUVnIqKAgRqdn47dQ1TsqdmvPRv6dQUtW4UGYrExJT1FR8HUyMxvn0ZM4FRV51OX6LvsBJ/0RzVifsZzIXLwT/tZsTdXliHSooKBQKhSITd19b+ASK3cMENSKc3HcbS8b/jg/nrsW101GclEM5SgkKCadPPMRbizchvdmUdmUhc0eaJ9u4EhXSGQoJuUXlWLr6CKoF7PYeyCpx2njpLi5EJ7EaR1LuJE1uRSW+PMNu9iCPX4nCan6Ly5ddPY1yQQ2ngoKwPek206jNJtGlLTNvCRWZOJnNvbsUhcIFVFBQKBQKRS5jZ/dqcdnD2yn4v7e3M+VQe9axWw5l72gq83LST0H6Kkh/BVuQ0r3mWQquRIUsQUF4lJKDL/45ibq6etabspuzbM8pZBWXsRYnqbBlhoJwLCYOR6NjOemfkCa7shwrbl1iLU6ZoBqPK1qK1jrU48v7/7KaPXj0pCG7ORuSj6NM2DHlhRQKm1BBQaFQKJ0UoUCEksJyZKXkIyEyDRFX43DtxAOc2X0Th9ZfxM3TD5WO0XuIL0wtDGReR8qhNq5ktxxKR0cT5hayG+arqgT49ouD+GPlSaYcii1HMVmwLSrKW3GtOns3AX8dYcc6lDhJ5ZXJXpCWVdVg6fbjELCUWUouapmhkPDF6fPILitn1eFJFttjH+BGFju9B1ElWa1etyP5DitxigXlyKoukHlduYiPjSn/4rnnGXB0an7QwXbKwb3tDIVCobzgVJTyUVleDUs7xQboXT/xANfP30N2fDEqSquY++KXVaGmlb4CMmdj1akPoSzqGmoYNb0Htvx+Ru5tJOVQ5WVVeOOLcTBScuChvaMZ8vPkL0aPHLiL2Ogs/O+bibB6MrldGetYyDEMkoiKX76cAi+3xuntbPRQNGfD8XA4WRljZE/xAFFFySurYJq+5fEwPQcrT1zBx2P6g4seCgmkWZv0U2yaNgmqSpo4NO+faM5HV0/h1MT50FbXUCpOZFFmq9f/+ug8htp4wVJbtsBur12sPI5n3cBI655w1xcPEaVQOgM0Q0GhUCgckvU4H0vHrkRGkuKDv0KHd4GjhxXiItKQkZSH4ryyVsUE4d2Vs2Dl0LIfQRFGTA1hhIU8eg/1w5pDb+Gz32YpLSbk9VEQtLV5CAx2wqx5vTH35TDo6io/yFNWyRPByEAbTvamcHMyx5HTkahRMiMir+SJrLXVVFWY49utZxGZlMVJuZM0W6/ex5moBKXi1IhEyCgpbfU211PTsfVuBLjMUBBSy0rw052rSsd5Wp9EpUiA5ZGnlI7zqKx157J61OOPhP2oe1EatCnPBTRDQaFQXkgSo7Pg5mPDaYyo8ER88/J6pXsMSK1/v3HBsLCyxC/vboewRvTUoX29RwSALYxM9dB/VADOHrrX4jorexO88fk45jZsW8c2x9vPFt+tnMGqbbGGlHWsNL9+PRWujuasxZEWFKQZnEzpJiwZ1xsLRoW0mAHCRkO2vpYmyqvFcXt7OOLnmaNQUSNAZXWN0tUdj4tLGu5Dj8djTlcKBDDV0cGR+bNQwOcjv6IS5TU1TMZE0SxFlUiIlDJxJkRHXQOGmlpM7wTh+Pi5qBQKkFFRiqyKclQIBMxjUZTIJ4JCU1Ud9rrGSCwXZ0ZWhkyCgYYWUiuKmB6LjMpi2OkaKxzn0ZOGbA0VNbjq2SKuLJ05v8B5BJz1bZFWmYvH/BzElKXC19AZzyXPYonRs/Z4Ohk0Q0GhUJ4ZKsqrWW1OlUdhXhk+X7wRlRXs2ltKc3ZvOD6ZvrqFmKipEii8YOw3Jgjf730LRmatD+U7u/cWfnhzM8LPRIHL5mxCTnoRPpq3DiWFFZxYxxoa6TQ0at+7nYIrF9kdNCbpoXB1Mserc/o2XL7/OLvTrCv44pKnbp722P7ZzIYF9tm78ZxYxg70ccXR9+fB0UxcEnYvJROaGmqwNtKHm5UZ3K3MWHF4GuvjhTOL5qOvs2PDbIqaWhF8LS3Q39UZY3y8lCp5iisqYATJFHc/XJyyEJPd/RquI8PteljbY5K7H94MDFVKTORWlaOgugKTHQNxetgbWOAR2nBdubAafSxdMcu1Oz4NGK6UmBDUiZBckYUR1j2xqcenWOQ6tuG6ytoa9DD1wRSHAfjAa8bzKyYozyVUUDwn1NZ1zDRbQS279oat7UoR73GukeyecU0pvxoCEfuvXW2zhWlJRRXKKtlfJMcn50IobPyMlZZVISNbfv20ooTfSMTGtRcbzpMF/81rypVmyOLf3eEoLqjAkW03GgTG2u+OQST1HBWFiIXN3x/Dz+9sg0iqTCbiajy+f30TZgQsQ9w9xYd/eQc749fj78PJy1rubaoqqnHhwB0c+Ps8JxayhBmvDoDtk4V/VlohkmPZm0/h8ERA6OhqYs5LffDGu8Marntwn93BaaSHIriLA1b933RMGRMMY0Md5vKYhOyGLAIb8GsEWDS6B9YsnQh3O3N087JjLs8qLENxOXtTn6sEQnw/fTh+nzsG5vq66OUufs9EdfVIypXfRN1eyPfm1umTsHLMCJjr6SLYtjHbF5dXwF4c1OPouDn4qd8IWOrqwd/MsuG6hBL2bITJQv/I4Ffxf8FjmB4JDwOLhuuSy9l7PtW1Nfiz2/tY6jkNFlrGcNBpfD6ZVezFoVA6Glry1AkhdZXCOhE01Rp3Y166tYJM/0EPdQ+8ZjGFtVhFNZUw0dRtOD/78ibkVVfAz8gaf/ScylrpQVJJEVyNGhtWl5w7gsj8HPiZWWLtkPHQVGPno3r9cRp6ONg1TMj+5uxFnE1IQqCtNX4aPRzG2tqsxDlwOwp9PZ1gbiAuA/nz3E3sC3+I7q72+HzCIGaXkA1O346DvW0FBnfzYM7vPHcfm07cRg9vB3wwYwDsLZRrWJVw7XYS1my+hG8/GgddHU0cPBmBf3ZdQ48gZ7y1YCDsbRTfsZMm7XEBdm27DmtbI4wcE4jNGy7j4N7b6NHLDW+/PwLmctyG2gNxB/p39y3m9IFNV9B3mB++XLIFmY8LkJtZgk9Wzmi1X6A1SPaBCIkrx1rubu9bc7bhNLneu5viu4+kufunQ+/iuyWbcOd8UxtVn27OyEkvRFFuGfqO7go2IVmK6PupMLU0wPTXBmLUjJ74bOE/mPfuMAT1dmctjpGxLkxMdfH+sjGwtNKFhYUFps4MRdcgR3Tv6Qo2GTHAD5NGBoqbswG88VJ/GOhpISTQmdXJ80un9oO1aePn9+VRPTB7SDBCvB3k9nEowmuDezZ8vxGm9uiCft4uCHa2hQ5PuaZlaUZ5ezY5P8zTDc4mxsx3qaGWFmtxgiyaliX2sLLDpmGTGGFhpt3426QspMRJGncDC6ztNQMeBpaw1Gbn+5pgoKHLHBIMNXTxf10WQa9CDe52LnhhoCVPzx1UUHRCVKCC9yNWY6hVCIZb92C8sXOqi5j/Qcs02fWvfvPmHnQzc8RCj17QVddEYlk++LVCGPN0WK1j/vrmeRhoauHj7mGw0dXHw4JcFFTzmR0otsQE4eCjaHx38Qq+GToIATZWuJuZxbiR3MvMZvVHMD6nAD8ev4xlYwdgdKAXbiSkoUooQnhiGox12REtku/kj9cex7TETLw9qS/O3klgbCPDY9JgpMfe8xGJ6nA3Mg1vfLoLKz4Zj0MnI4h+xb3INOix0BgrIS1VvEP3+08nUV0lxOH9YpvGqMh0hRf5zblyIrKhPIc4JpFBbcR+lZCRkg9+RTUMjNu/UCnKK8PXC9Yi7ik76KZWRjBkod9AV18bX258Beu+PojDGxq9+IfP6o1Bk7sj+nYy7N2VcyaSZyE7/ZX+4PHUmdOrDrwJNRYXxBK++HYKvHyskZcnbshdtGQguGD6uG5Nzg/t58NJHGkxISl94gJpMUHwsDZjDq6xMTBgDq4x0tLGAHvuF97kdyfMij2RLA/yO9rN2BN5wjyoqdCiEUrnhQqKTgj5AjLXMsbvCfuwJ/08BlkGM64QRGiYaxoxAiObX4hUfg501bURYOSmcCw3Awv8HXcVu1PuYopTECMmCB6GFkxJUrGA/2QQkAqCTBX/gfQxtcCaB+E49TgBM726IL9KLIz8TMXpYEFtLbIry1AlEsHLRPFGSRcTExyMisHkrTsx3s8bqcUlzOWBNtYNdb7EvYQ0LprqiksfFMHayIDxfP9490kcuReDxFxxaj7Y2Q5aGuz9b6f9ZMdx17kIhEen4XGOuKShp48j9HXYExTCJ771iY/zMfftTah64jA0qK9XQ4kIG6Slil8nUmryp5RN6fxF/WCswCK/OeQze3jb9SaXScSEg6sFvt+8SCExkRKdiS/m/Y38rNbLwOZ/PAZTXh8M1WaLPkUhC/lXv54MOxcL/Pn5ftQ9KdEh9+/XQ/H/7+VBRN28d4ai36jGhm8uxATBx89WqeZkCoVCoXQcVFB0UnwNnHAl/wGTmdie2rjweliahAlXl6GmXsg4SKzt/pFScfyNbRgxUSKowrr4aw2XX85JRI9jP6JMWA2yDN/Vf4FScXxMxPWqpJlv46NGJ5m7uZnoufMv5FSWM7vxG4dNUkpQuJqKy6rIfRFhISEmLw/D1m9mXElIxuK7EUMxuYuvwnGsDBt3oK8nNO5YJ+cVYebqXaiorkFljQAL+nfHrF6Kl6Vo8Rr/F07JbqyPTs8vwdJVhxvOj+7li4FBii8wRVKDsCRigpCZXYJf15+DkYEOY7MZ3MVR4fInEiMzXXaNd0ZaETMh2cfXFqbmiu/uxz5IR0KUbK95XX0tpCfnt9ut6NbZKKb0qKpS/uAyCYc3XMSQaT1hwkLpljSj54fB2skcy1/9B1wzZEIw5zEoFMrzTcMwuWeIZ+3xdDaooOikyHN/4NfWQKAiIgkDTLIfADsdc6UFhSxIZkLCdOduCDARNxgqirep7MdJyp4kTHDzwUAlU92kxlcW+ZV85iAMcXfFJH/lyh7k9UgQj3iJTzzpsZjRUzlrTy05NdGpOcXMIclWhAUo97oJ5DQrR8ZkMgchJNAJIwY2OrC0l8yMYrlNsKT0SVL+NHSkP2bNb1qm0laONMtOSBMTkYYP565FQE9XzFoyCP7dn97j8O/Wq1i9bE+bnamK88vxw+ub8O2uNxjrUDYJ7u+NlUeWoiSfnenEFAqFQqG0FSooOinEu5qnqgFBnezhVqT0aabjYOXj6JtDW00DVbXy4ujhXV/la5udDYyhpaaOajkuUqZaOviip/JxHIwMoaaiglo5zk7EQ/3/hg9Wuj/kaU3XJIOxYtpwpZs+tTVbb7J0sTbBd4tHQV3Jxat0hkIWREws/3g8NKUyJor2T8iDvCVzXuqL6XN6obCw/W4oxMnpyqmHT70dmfFQlF/OlNs8rTRp5Jw+TMahsrwK/LJq5m9lWeMka/JXfN2T00/+3jgZiT6j2G2YJjh6WDMHhUKhUCgdCRUUnRQNVXV46tvjYWmyzOsXu46DtpryzbLqqqrwNbLGncI0mdd/3GUoDHharDQSklKmiHzZ1pNf9xoEYy3lm5k11dVhb2TIDGWSxYoRQxhRoSymerrMIp40SMt6TX+aOYqV5mzpkqfmGOlp45c3x0FfR/nPgVBUx6mYIKSlyBcJRkY6+OSL8Qjq7qxwXT2xiq2V8zxIbwAZ3EZcjIg9anvQ4KnDyFSfOSgUCoVCeRGhgqKTlz3JEhRdjdwQZs7elFw/YxuZgqKXhQtG2ineZ9AcbzmCYpijG0Y5N7UoVLbsSZagmB7gj4Fu7LiHkMwDyUJkFJW1uO6d4b0R6GTDalN2c4gN5c+vj4GdOTu2sfIyFGyJidYyFH5d7PHpV+NhZm7AilWsNMSlaNT0HhgxNYTVSc8UCoVCobxIUEHRifExcGpxGXEqWuI2gVVLV1l9FDxVNXzRdSSrcYjTU3MMeJr4pvcQVuOQxuwLSSktSqE+GRgGNrEy1G8hKPp7u2B+GHtNrfIyFJ/PG4Kubu3baW9vDwWbYkKeoCCzB156pV/DNGM2rGIJZEAbyUYQG1S27GgpFAqFQnlRoYLiORMUoaZ+cNBtnLzJBl1MWi5MX/PqC0e9xkF0bGUomvO/ngNgqcPuzjGxjm0uwshQO11e46BANrBq1kdhY2yAb6cOY1UcacnooVg4ugdG9vQGmzTPULAtJkhTc/oTy1iCnp4WPvhsDHr1EQ/sY8MqVpmyJgqFQqGwCB1s99xBBUUnxpCnB3ttC6RXiQc/mfD00d8ikPU4djpGMOJpM9axBBd9M7zs3ov1ON5PrGMlhNk6YYq74q5B8nAxber09FrPEATZslOCJK8xm/RT/DxrFIxYnA1B4KmrMW5BZPAcYWh3D7w6NhRsI5lDwYWYIOTmlKKmRtyQ7+Fljf99MxFW1uyUa+VkFCN0oA++/ms+LWuiUCgUCoUD6FjGTo6PYWOWYqHrGGipsbvLTiA76tJlT192HQkei9OrJejxeHA0EC8iddQ1sLzPUFZ382VlKPysLPBG7x7gAlLyJOH9kX3RxZ7dqcUE8vroa4ubrv2crfDFfHYzIBKET0qeuBAT0uVO4yZ1wy9r5rImJgjW9iaY8dpAKiYolE5KbQcOOKwSCTokTplQPLyVQnleoIKik+NjIPbK9zd0wQBz9rMTEiSCYoJDAELMW5ZasYVkwN1H3cNgr2/ISQwTHW0Ya2tBU10NP40aDg01bmroJRmKwX5umN2bu/dGT4sHKxN9/Pz62FZdn5TNUHAlJggFeWX49KsJeOPdYeBx9BwolP8CUnLXUeSWVTADMzuC8Ix0PC5pfTI8W6x6eAMFVdwvwPmiGnzx4HCHvGd70k/hUWki53Ge9cF2z9pBURwqKJ4DpydVqOAN90mc7ExL8De2hSFPGx/6DwGXkAF33S1tMdeHuwW4JEvxYb++cDMz5SwG6aGwNzHE/03mJtMiwdJEH7++OQ5mhrqcxQjyd+BMTBCGj+6K/oOUGyZIobSVtg4iZIPLUcm4FSfbdptt8sorsGDzfpRWVXMeK6eiAnP370duRaPZAVc8KszF4gsH5c4pYouC6gqcyIzC1uQb4JqcqgL8GLsZpULuXz8KpSOggqKTY69jjlmOQ+Gix34PQPMMxYd+g2GsqfyMhtYIMrfB932HM43SXDInqCvmBLM/WEwaGyMDrJw9qqEkiSs+nzcY7nbKTUR/Gotn9+VMTBDYnhpNobTGig2nkZLZaALAJTpaPLy25gB2XrrP+c63Dk8DkRk5eGnjPhRV8jkXZRllZZh3YD9KqsX9dVxRLqzB3fxMfHTtBKevYUGNeHG/MvoMbhc8Bpfk1hSiUFCC3+K3d2gWi0LhCvor3slRVVHFbKehnMcx09LDREduF+CEvnZOcDVi1z1KFqN9PDkXLURI+Niy67glC2tTbkrDpOEyw0KhxMRld+iiikxAn/vpNmw4eKOJ4QAX2JoaorauHt/vu4ivdpyBQMjdLru2htj1LSYnH3P/2Yu8Mu52v2ufvF/xhYVYcPAgKgXclVqVC2qYv4dTovF75HXO4uQ/ERS19XV4/84e5Fa1nCPEFnnVRczf20VROJp9ES+009OzclCUggqK50RUdAR0UUmhULjg9IVHmPfqPzh0/D74Vdz3AAR62TFCYt3+G5j32TY8TMjiLJaFoR7UVMWC/NDNR1j4xz7kl3Kz0NeRsr5Oyi/CnH/2ILOkjPNG6YicHLx29ChqRCLOMhQSfom4iiMp0ZzEKagubzhdJKjE0ju7IeCgzKpCxAe/trEsbUvKMWRW5bIeh0LpSKigoFAoFMp/ysTRQUhNL8Qvq89gytw/sXrdeWRlt5xmz6agkJCcUYhXvt6Fn7ecRyUHYoZYRlsZNzq+RaZkY9ZPOxGVmsNJyZM0aUWlmLNhDx4XFnOWoZBwNS0VS0+e4MSRSZKhkPD+1X9xLz+T9TiFTzIUEiKLM/DDo5OcZSckiOprcSDjHCM0KJTOSqcRFMXFxZgzZw4MDQ2Zg5wuKWn9B4ek0L/88kvY2NhAW1sb/fv3x6NHj5rcpqamBm+++SbMzMygq6uLsWPHIiMjo8ltnJycmN156ePjjz/m5HlSKBTKf0lpCR+H99/B/buPUVhQ3iGlSPZ2JggJFjvWVVTWYM/BO5i5cC0+/eYgEpJyWX8Mlqb6sDFvLBUkd7/3dARmfrwZ1yOSwTY2Jk3LEvNKKrDg1z04fjuG9bk0Gs36kbJLyxlRkZDXchK9MohkCIcTCQn47NxZVt8vcl/SGQqCoK4Wr5w/gIyKUrBJfnXLzNHux7dxKO0+q3Fyq1v275QIyrEmcfeL00/xX5c30bKnF1dQzJw5ExERETh58iRzkNNEVLTGDz/8gJUrV2LVqlW4ffs2rKysMGTIEJSXN6Y133nnHRw8eBC7du3C1atXUVFRgdGjR6O2tmld7ddff43s7OyG47PPPuPsuVIoFMp/haGRDjIzivDh29sxffzvmDhiJd5+dRN+XnEMe3feRPiNRGRnlbDulDRpbHCT82RddeNWEv7ZdhUvv7GJ9XIo6SyFhNzCciz96RA+X30cRaXs7Rbbmhq0uEwgqsWnW05i5aHLrO7qN89SEAoq+ExPxaMs9spq6uplP+bdUVH4/uoV1uLU1IoglPH6FFTz8fK5fS2yF2w0ZTfnm8hjiC5hrywuv0Z2xuh6wQOczLnGWhwKpSPpFIbvMTExjIi4efMmevQQDyFbt24dQkNDERcXB09Pzxb/hqj8X3/9FZ9++ikmTpzIXLZ582ZYWlpix44dWLx4MUpLS7FhwwZs3boVgwcPZm6zbds22Nvb4+zZsxg2bFjD/enr6zOChEKhUJ5lyHdfYX45UhJzEdTDVSEHrUVLBiHmUSZio7NQUVGN6KhM5pBGU1Md9o6mcHA0g4OTGZyczdGzt7vCjl0kQ2FnY4yMrJaLrcdp4nKodZsuY+RQf0wYHQQbJYcfBnrZ4viVphlrCadvxOHmw1S8M6s/RvTxVrp/zEaGoJCw5dxdJGYV4Lv5I2GgowU2GrNLq1ouskv41Xhp0378PXs8Ah1sWC95kmbtnTsw0tLCq91DlI5T1iw7IU1cSQHevHwE6wdOgrqqKuslTxIEdSK8e3s3dvdbDCOeDicZCgnrkvbDS98JznotBS+F8izTKTIUN27cYMqcJGKC0LNnT+ay69dlOz6kpKQgJycHQ4c2OiBpamqiX79+Df/m7t27EAqFTW5DyqP8/Pxa3O/3338PU1NTdO3aFd9++y0EHDpaUCiU54vqKgEO7w5n/X6FQhGS4nNw5lgE/v7lFD56bTOmDv4Bs0auxLULMQov7jU01PC/rydC30Bb7m1qakRIjM/F+TOPsH3zVYiEtUrZ/6qqqmDCmKBWbyMph/p8+SFk5ypX7hLo3fqCrayiGl//fRLv/HAApRVVSjs9tcb1mFTM/mknknMKWW3Mbk55dQ0WbjmAWynpSsd5Wlblh6tXsethpNJxnpaBuJiZjP+7cx5szaGQR1ZVCT66u49xgFKWvJqmPRTSCOtF+D52I6pq2cu8PIv81wPs6GC7FzRDQYSBhYV4grI05DJynbx/QyAZCWnI+dTU1Ibb8Hg8GBsbt7iN9P2+/fbbCAoKYm5369YtfPLJJ4xgWb9+vdzHTHozyCGhrEzstFFXV8ccXEDul+xOcnX/zyr0edP3WxGq+ALk5ZbB0dkMXHL/VjJ+X3EMto6mGDOlu8Kf8cryakSkJuNxYh6SE3KRnJCDtOR8iEQt339dPR7mvdpfqe8CMwt9fPjZGHz+0Z5Wb2dkpIMvlk+Gt6+t0t89wwb5YMPWy6iqEjLnSWJAchBcnc0xd0Yv9O7hxggQZeJZmerD0lQPeUUVMhupg73t0SfQBX2CXKCvo6lULGtjfTwxemqBka42PO3M4WFrhvT8EjhZGCv1nabL05C5U0heQxNdHVjo62HX7QdwNzeFoRIZkdraulZ3JDXV1LDy+nU4GRkhxLZtu+2ynndZTfVTdz63xNyFq74xZnkqPhCVCIXi6opWY93MS8LqmHN4w2sQlCG/qggq9Y0fCHJavMAVX5bFz8dfCXvwtscssMWLti6gvGCCgjRMf/XVV63ehvQ+EGSlnMkXz9NS0c2vb8u/aX6bd999t+F0ly5dGGExefLkhqyFLFasWCHzueXn56O6mpsppuQLg5RxkcdPfNZfFOjzfr7e74KiCpiZ6HH6fpN/u3dnOMwt9KGt6wsuqKqqwenDEbgbngQyD9LJzRB5eXntvp+aGiEO7riBgoIi5Gfzmd4CCTZOsl+noWO6okbIR16ecn0ATi76mPNyd1y+ECvzevI1ufC1gTA111Doucli/Ehv3LydJL5/ssFjpsU0UOroaOKtV/vDQF8bBQX5rMQKC7DB/ZimJhyEvkEuGDegi/iMqAp5ecplKHQghJtpy1IZPS0NfD5jCLSk+h7I66jMZ9xZlweRYctYS/r3hJ/UXJyaijLkVShuKatRXQ1vnZZxBru6YrKPL9SkHndbPxuynndRUQG81Vt+zt0MTfBGl15NPovKfAbLBFVwRWNpGplTVFdfD211DXzsNwLCutqGIyc3Rym7drXyetjXitcOaipqTLbHrFYfc5zGQl1NDdW1AlTX1iA9Ox2aauwMRpXuHaVQnjtB8cYbb2D69Omt3oY4LEVGRiI3N1fm4rx5BkKCpN+BZBqsra0bLidfOJJ/Q25DSpeIg5R0loLcplevxi+q5pByK0JiYqJcQUGyGEuXLm2SoSC9Gebm5jAwkF9Pqwzky5gIIRLjeVpgPo0X+XlLMnVcP+/HWUUw1teGob78Ehg2yMwqxs+rLmPd7/OYHWiu3u9jR+7h2MFH6BbigmkzB4Btbl6Ow+of/mV6GSQMGmbEvFdkZ5eoAjV1tTbf32vvjsPR/Vex9a8bqKl+ui9+TjofUXdz4OVnBxt75QZFTp85EBF3c/EwIk3m9cu/OIl5L4dh9LggqKkr/zkcPqQbdu4Xl8ow+zoqQEp6JerrK7F85XmsXD4VRoa6YANXR3vsuxDfkJVQV1dFdY0ISf9GIdDPE9187VmJY2ZWj8elNRCJaqGuroYujla4lyTuSTn+IA2vjQpl7TNerqKOuFI+tDTUMTMkAP9cu8tcvjsqCQMD/cEWlcnJiOHzoauhga8GDsSnZ8+iprYWhcnJWNJ/QBNB0VZkPe+7VcWIEVVAX0MT3/Uajj8e3EBsSR7iiirxPzNTmGgp39NAKCnNRQJKoa+hjU+7jMKV3AQcz3gAiACRvia6GNmyEqdSVIUE1Szo87TxsuskFNYUY1vKv1BBPSr1hOhvEQAu0NJSvj+HVZ7FYXLP2uPpZPynqy9i1erl5dXqQf4nIM3XZNeClBtJCA8PZy6Tt/B3dnZmBMOZM2caLiPi4dKlSw3/Jjg4GBoaGk1uQxycoqKiWhUU9++LLeSkhUpzSL8GEQ7SB4F8SXJx1KKO+Uu+jLmKQY6aOhEn99v8cZeLBO16Lm29bYVQ2OR8UXU18x3C9vOJSM9u8piIy0q1qJb1OBceJiE1v6ThfH4ZH/mllazHuXovGd+uP9PwnIrLqxCZkM16nEPHI5D8uACXryeI45TwcfDYfYXfb1kHqfv/6zdibQnEPCLOLSp4GJGOLz7eC6FQufeorLQK3392AF+9vxsFecRyFQ3H7etJeH/RRkwa8D3u30pp1/1q8DTQZ5AvVm1dDJ8Ahyb3K+s4uvcOfvziEP5ZdVbp90SDp45lX4yHkbGuzFiVFTXY8NcFFBfzWfkMONqboXuQc8P9B/g5MM3a5HRKaiGuhSez9nnr6m3fEOfVqX3w7uwBDeePXY5iLQ4REVZGZBaFClbMHYHl80eCp6EOYpR1OiKB+cvWZ5xkO3S1NLFu7kQsHdoXbpZmIFsP99KzUMSvYu051aEedoaG2Dt9Bsb7+GKYuwcTJ4/PR3RBvsL32/x5V4gE8DO1wtEx8zHCyQsjnT2ZOKL6elzPTWPt+RQIK9DDwhX7ByzBCDt/hFl5oE4FzHG7MIXFOCXoZR6AVd0+xUDLEAQYe6FepR6k2immjL3PtqyDQsGL3kPh7e2N4cOHY9GiRfj777+Zy1555RXG3lXa4YkIEFJqNGHCBOZLiVjCLl++HO7u7sxBTuvo6DAWtATS1P3yyy/jvffeYzINJiYmeP/99+Hv79/g+kQawom71IABA5jbkxIsUgJF5lU4ODj8J6+HoE6IiOJYhJiKd5tIenjh7S9hzjNGHw1/jLUQP3Y22JBwBXNde0FDVbybOuPKWqirqGGIjQ8We/RjLc4nN05iade+sNARp7aJHWBRdRVGOXni3a59mfQzGyw9cQLzAgPR19GROf/h6VOIzc/HJB9fvNGjBzTV2flfYsO1O7B8qI/PRg5gdtpXnLiIG8lpmN49AIvDQqAtw9pREUjN9dY1B7Hx3WmwNjHAyoOXcOlhMuYMDMaCod1Zi3M/LgM3HjzG3jMRmDKkK/5v7SmER6Zi/rgQLJgQyuzuKgufX4N/Tz9kTm/ecQ3+PrZ495NdSM8sRllZFV6a3UfpGOVlVfjmfwcY4UAgDkaffbALt8PFswf2bL+BOQvC2n2/5P/Bi6ei8OdPJ5g5DrJ4eE/cu0VIiM1GSB+PdsexdTDFT2vn49i+O4xYIH0greHmpbybD8HUTB/LvhyPj97Z0WAX+97Ho/A4pQAH993CrPl9YGHJXuZ10tgg3LqbAh5PHSOG+GHm1DC8+8keDB/sjzHD2dvBdbQ2homhDjwczDFjeDCTEbnzKA2u9uaYPbob2IQ0Zs8b1A2Duroz518dEcqUuszqH8TK/z8SHEyMsGVBCLyszJnzrw/oiccFxZjarQuMWHCRktDFyhrzAoNgoi3OWs7pGgBXUxNM8vGBlV7jID9lCbaww3gXX2iqib+bxzr7QAUqGOnkCWcD5bJv0vgb2eKvnrMbSpl6WbjiLa9BCLP0gIeB7EoIRbDXtsLH3i83nHfVs8dcp9FwElkiwNGHtTgUSkfTKQQFYfv27XjrrbcaHJnIgp7Ml5CGWMiSrIWEDz/8EFVVVViyZAlT1kRcok6fPs1YwEr45ZdfoK6ujqlTpzK3HTRoEDZt2gQ1NbWGTMPu3buZfgjSZO3o6MgIG3Lf/xUaKur4KW4LQkz8sMh1EooFZSgSlKK4pgwuOuxa2+5NvYOz2TFYHjQRGipqSCoX1y6bacmvcVeEh4W5GHl0I37tOwZuhqa4kycuB7ianYr3Atu/wJNHhaAGCw4ewKf9+mG4uzsuP37M1MmeSkzA0layUu2FXyPEzlsPUFZVzfygn45OZOIcfxiLNwY0LW9QhsLyKuSVVmDJmoN4d3xfnLonLt84disaC4cpb9lIENXW4UGc2IP9jx2XkZpVxIgLwolrMZg1shvUdZSv8z117lHDnAFiE/rSko0orxD3G128Gofpk0OgrSXfwaYti/6fVhxDTrMJzBIxQYiLzW5Tn5U0BXll+GPFMdy8In7tW0NVTQWOzubQ01N8YUd2GsdODUGPvh747dujuHtT3G8gYfKcXug9wBsJMVnwDxILZzboGuSEuQvCsGn9JeZ8cIgLho/uiuGjAmBj19TYQllCgl1ga2OEXiEuTM+EqYk+1v0xT6n3XxbkfR4Y4oGXxvdoKLH7aslIpW1iZfHexDC4WTcaAMwfzK5gkfDWwF5NygWH+ogFDNsMcnFpcj7Q2oY52Ib8HkjjoG+E17uw9x0qwbCZHayBhjYWebD32yNB/cnmnAQ1FVVMtBvMlFqTfooXBYnL0rPEs/Z4OhudRlCQ7AGZEdEazSdMkh8F0vhNDnmQkqo//viDOWRB3J1IhuJZgjwvS00TXMq/g4iSWPgYuDZc56zLTp2nBFNNPUQWZ2Dqpb8QbNq4OCG7Nmyiz9PEo6JczDmzG0Hmjc9hlGPLGSPKQOp6iX/61xcvYuuDB8winzDVz4/VRQRfIHapOf4wDlcSxKKFML9XMKu7kUXl4t3wlNwivPX34YbL3xzbB5oa7PzvnZiWD361eKEvFNVi/9kHzGk1VRV89dpI6LIgJsiu94Gj95pcJhETTg6m+PW76UovJvftCsd1OYt+YxNdvP72UIQNbPvMAfJ9c+LQPaz79TT4lU+3eCSLvL93LYGDs3jnWFksrY3w7R+zxZaxK0+holz8epUUVcKniz1zsM2Mub0RFZmO1Mf5MLcQZyScXNh5Ps1fqxmTeyC0uzNEQvFnnG0xIeGdWf2YkiQJXIgJgrSY4BJ5vUcUCoXCJZ1GUFCaYq5lgsf8LJQKK3CjULzAIzwqTcTNR9GorK1CTZ0Ay7wXwlpb8R98c01xNqe6VohreYkNl5OGtbuFqaipFTKuF5/6j4KDnuwG9bZgoCFelJJl9938xgFat3IzkFTW6Nm9xD8U9nqte7q3hnTpVEpx4wCtR3l5+OnaVWYoFGkyHOXhCXNdxRs/+UKxoCCUVTcuNlMLi7E9PAKWBnrM4W5hxjRPKkJVjRDlMgZYEcGSU1TGeNt72ZnDRF+5psV7MlxwCBam+sgpKIOzrQn0dZUrpbhz/zHSMmR7szs7mjEzD5SBLILX/yXfq570Aaiqieu321M+ReYuEEel5PgcZh4EuZ/WRNO2tRexbMUUsAV5vEPHBCI41A2rvz+OaxdikdssA8P2YvXjz8dh51bZ83/YZPSwLoxoU9ap6mlIiwkKhUKhKAYVFJ0UkqGQRUplJtIFhUyT16uuU5QSE62VNl3NS2g4TepMlRETkgyFLE6nN8Z5za+nUmKCIG+a6uHYRlvM2QEBMJNhh6hIhqI5W29GNJweG+CNb8c3DlVsL9nF5XJLlH4/eq3h/LS+Afh4ygCFd14j4mQLiuz8Mny+5l9mUR3kbYeFE0MR4KFYhuzAEbETjSwuXInDlRsJGDHEH7On9oSFefvqs0uKK/HtFwdRVys/ny0QiPD1Z/uxaMlATJnRs02vlYGhDoaNbfS9Zxa/OaVIisthZkQQkZEcn4vszEbheunMI4yb1gO+XdntvyI9Dv/7YRqunIvGPo4X+4ZGOszrxDXkPWiedaZQKM8J1OXpuYMKik6KhVbrzWi9TLtipHVfVkqeWmOglRdedle+WVaeoJAw3MEDHwQpX8/6tObuMZ6e+HLAQKXLHvhPmaQ+rXsXfD5qoFLlCZmFT58UvHhETywe3rYFsrxd9Yi4xoyRLDQ11NAv2A3+borVT2dkFuHG7cY+BlmQ4W2PYrIQ8TAdQwZ4t+vxf/fNERRI2be2xt4dN2FsrIshI57MIGhvKaK1EXP06u/VcHllRTVSEnMZcUGyGBdOPYRPgD3rpTXk/sIG+yKoR9Padi5QZiI2hUKhUJ4/qKDopFjIyVCIrzPGmx4zWFmwmLUiKJx0TfFt4ASlBvw0L3mShb+pFX7pO5oVpyd5GQpCPycn/DRsOCtx5GUoCPN7BeHDYWFKvz/ZRfKHUhF3p2/mDMPgJ44yipKcWYCyJ70Msugd6IIP5w+Cpaniri7EFlYeRHD17umGSWOD0dVfvAhvz8TXHVuu4u6tlmKF1P87OJnB0ckMDo6mzGkHRzNm951tdPW04NfVkTk6Aj2OZ4VQKBQKhdIcKig6KRZaskuMyGL4fc/50FNnZ2FkriV7oaitxsOvIdOhp8GODaG8DIWVjh7WD5zITCtlA3liIdjGBmtGj4HGE3cvZSAlRwKR2Ja0Oa/164E3B4ayIvay5AgKGxMD/PrKWHjYKt8sK2uKMMHYQBtL5w7E4B4eSj0XaatYafT1tDB6eBeMHxUIK0vFytwe3E/FhbPR6NXXgxELjGhwMoWDgxm0dbhp8KVQKBRKG6AlT88dVFA8ZyVPAy16wMOAvZ1QeRmKbwLHw1XfgrU4ZApqc4iIWD9wMix12PM0l5Wh8DY3x4Zx45mGbDaokmrIlmbp4N5YFMaOlau8kqfu7vb4YcEoGOuxs0sdEduy3GlUX1+8NTOMlanZ0laxBBcnc0wcG4Qh/X2gpaXc+9GlqwM2bFus9GOkUCgUCoXSOlRQdFIM1HWhqcpjnJwkBBt7o8eTYXdsIaspe75rLwyz8WU1TvMMBdnz/q3vGPiZsjdQSFaGwtHQEJsmTISBFnsDn2SVOy0b2R9zejY28LJBdlHTvoAZ/bpi6YQwVrIsBNIQey+2MUNhY26Ij18ejBA/dgSrxCpWVlkTG3Bl/0mhUCgUCqUpVFB0UshiiWQp0vk5zHkTniHe8piFmmJ2LRZNNZtap4aYOeNtb/YmccvLUHwS3B9DHdgfyCSdobDU1cWWSZOVsod9WkM2WdN+PXYIJgf7gW1IhsJSR41pkP3f1EGYEMpujLTsYhSX8RkRNmNEEBZO7AVtJbMG0sQl5jBCQpmyJgqFQqF0Puhgu+cPKig6uXUsERSqUMEHXvNhqKGHPLArKDRU1WHE00GJgA9LLQP8EDy5xaRPtjMU0927YJEve6VB0kgayI20tLB54iTYG7K/kJVkKMjgt+8mDsfoLo2OP2xB5k+Qw93UGGtnj0agK7sDDQn3YzPg7mCOZQuHwNuF3QnsBG8Pa+agUCgUCoXSuaHef518uB1hhuNI+Bm6cRaH9FFoqKrhl+7Tnmojq6yg6GXliG96DuWsXEVdVQU6Ghr4Z/wEeJhxM7m2skYIDTVV/DJ1NCdigpBVWAZvOwu8P7EfApy5WZR7OVti49czORETFAqlc9KRs0HKBdUQ1Mo2uGCb6NIMiOo6JtaV/JsdEodC6UiooOjEWGqaoouhB6bYKz4crS0QEbHMfyT8je04i0FsY10MTPBn//GMeOEK0uj915ix6GptzekP7uqZ4zDEhzuRZ6KvjXVvTYERS83X8gQFnSJMoTz71IhEyK+o7JBYwro6/Bh+BXUdICzyqyux+OpeVInk23Czxd2iZPwvcneHiIo96YdwJvcSXmjqn9GDojBUUHRi3PUd8J7XXKixMAeiNRa49cFkx26cxjDQ1MKGQZNgqMlec7Qs3grtiT6O3M4DCHG2Q193J05jmBvqQYtHKxYplGeV1IISpBWWdEgsnpoaZm3bg4uJKR0Sa09sFF49dRiVwtYHeLLRW3c5OxnzL+5kshVcogpVnMuJwtcP96O2vu2zbhRBWC/CxpQduFV0j9M4FEpHQgVFJ6aLkQfTjM01vSxcOY+hpaYOZ4PWp3+zgZEW90O/qLsQhfJskp7fMQt8gqG2Jib8shW/nbyGyhoB5985xFzilT2H8O2Zi0zGgkts9PRxOiURkw/uRGa5/AGbyqL3xKzjTkEGZl3YjsJq7rIwEgfAk9kRWB51EHUcigpRnQj1qMeqhPWIKYvnLA6F0pFQQUGhUCiUF4LD1x9h7vc7ceJWLIRyhk+yhZGuNryszbH2wi2M/mkTjt2P5bT/wNtSPMhy8+37mLxpJxLzCzmLZa0rng0UU5iPcfu34V5OFmcbTWpPFvqPinMx4/w2ZPO5ETDSluJHM+/ix+ijnL1fwnphQ6bip7jVSOe3nPfz3PNflzbRkifWoYKCQqFQKP8JSekFiEnOYabLdwRTwrogJi0Xn248gVGfrsffx26goJS7Xe++Xs7M37yySny06wTm/LUHMZl5nMTysWocNBqXV4CJG3dg171IThbFNvoGDacLqviYfmQ3DifEcJJ50ddoLINNKivEtLNbkVJexHqs5qXD+9PD8UvscU5eP2FdYwaJX1uFH2L/QKmQu0wPhdIRUEFBoVAolP8EMyNdLP3pIIYuXoN3fzyALUdu4WFCFmfZA0tjfQwMFM+3KSjj4+/jNzHy0/X4bOMJRD0Wz/Rhk76eTXup7j/OwpQ/tuPL/WdRVMGuxbfXkwyFhGqRCJ+fPIfX9x9FMb+K9ZInaYgT09tnj2PlrausN2vrafCanM/kl2L6ua2ILWFXmKkw41Sbsiv1OlbFn2JVVNTW1zLlTtIUC0uxL/0oyoUVrMWhUDoaKigoFAqF8p9gqK+NpXMHgl8twI0Hj7Fmz1Us+moXhixejTdW7MOmw+FISs9HjYC9noAZA7o2OU+yI//eimVKodguh/K2sYCpnk6Ty8jadO+thxj10yZsv3afteyMm5kpNKQGd0o4G5+EMeu34sbjNLCFdTNBIeH3uzfxxumjqBIKWe+jkKaguhIzzm3D/QL2SoXkmZtsTbmMtYlnOclOSFMkLMbP8WtQU1uDF2mw3bN2UBSH2sRQKBTKcwZZpObnl8Hayqhd/45fJcD6ndcgFIqgoa7G2AaL/6qCpyF9nvxVhYaGOvOXnPf1tIaRQdPFc1sY3MMDJ6/F4Nr95IbLqmtEuPMoDXej0+BqpYO0Nefh42KFQC87dPWyQxd3G4Wntge42MDL3gKx6S13uEmWgpRD/bL/Eib17cIcZoa6UBRVVRUmS3HobnSL68qqarD8yEXsCX+IT8b2R083ByjrvuRqZorYvPwW1+VVVGL+jv1YFNodb4eFQkNNjZUeCln8mxyP9PJSrBs+HlZyhEd7nZ5kUSasxtyLO/BXn8nobSUuLePKTGND0gVmyOsC1wFKxxHVyxfHiRUp+D1hHZZ6vgY1Fe7s0ykULqCCgkKhvLCQUoaOcOUSCEXYd+guRg/vAgN9bU7uPzY+Bw+i0hEZlYGH0RlY/FJ/TBgd2K770dHmYUAvD7z/9X5GXLSVPiFu6Bmk2KKOvP4fzh+EGTHp4FfL3tkmGYOIuEzmcLmbiG9eHwVXezOF400f0BVfbjkt9zaScqgDVx9i1ZsT4W6r+BDMMC9nmYJCQmJuIV5etx8junjg6ylDocNTTCgRfKzMZQoKAtl8XXvjNpOpWDluJBxN2ic2Wyt5as7D/FyM3b8N60dMQBcLK9YzFBL4IiEWXt6D33tNwBA7D6XiqMkoeZLmr4Qz4KmqY7ZzX6XiCOtaz97cK4nE+uRteMVlLnUMpHQqqKCgUCjPFGTxSHbBuaaqWoDVmy7h/VeHcCpYrtxIwJ/rL6KSX4MZk0NYud/qaiGiY7MQEZXOiIjo2GwIpMqCzE31MGqYv0L37e9li58+n9RmUeHnaYMvlo6CmpriFbSWpvpYMq0vftp8vtXbTRjUBW/P7ActTcUX3YRh3Tzx64ErKKmQ3VtgpKuFuUO6YWq/AOhoNa3hby+h7g5QU1VBbZ3seooAB2uMCvTCMH93pcQEwduiaR+FNLo8HrrZ26KHox3TX6EM5jq6UFdVhaiuTm4Gw9PUDOdSk+Btaq5URkRehkLizGSiqYMNceFwNzSDk77i1uOqbZjntCHxPKy1jTDISrH/tySWsU/jYv41GPEMMc1+PJ5bnsVBcs/a4+lkUEFBoVDaRH5pBTNQj2t+2HgOr0/vCyMOdvKlxcTH3x5EwuN8zgRFUkoe/vj7PO5HimvXgwIcFN5xJGIkLiEHR07EIiIqgzktEsmvvZ81tSd4Gop/vbdVVNhZG2PFsvFKL/AJEwcF4NT1GDxMyJZ5/dwx3RnRwQaaGuqY1McfG07eanGdtqYGtnw0A3bmiu/gS2OgrYWujja4m9Ky3n9Bv254byQ7z4ngbdno9CSNnaEBTiyeB011dn7y1VRVYamrJ3MGxcGJsxBoaQ2umrIlLPXvh1e8e0JDVY1121hpwiy88anfBOira0OdhVjEKlYWhuoG+CDgTfDUedBQ0WBKrCiUzgRtyqZQOKCC40FWEpLzilBQxr0zCKk3X77jHOdxbkWl4uilKFyPSOFcTNyLSkd5RTVELDsKlZTy8fOq01j45uYGMUFwdW7cPW6Pa0xRcSW++PYwNu24hh37buFRTFarYoLshuvoaCI+KbddZUvyRAUpg5JHbn4ZVm28iNhE5R2SSL/BsoVDoS4n07Ht2B2s23+dtSbmyWFdmNeqOVU1Qrz75xEUlfE5c3uSsPnKXdxNyWAtjpdl09IsUx1xT0tGaRkzn4JNbKT6KKQFxNqIliJNGfTUGzMU4xx9G04ffPwQqk8pU1JUUEy0D4EJT7x5El6QCHUVNVbERPOm7P7mveGtLy7VKhWVobpWABOeMfQ19KCl1miXS6F0Bqig6ISQCZ7NFyRPq8tUlFJB0x9VvogbB4qHRU13JYtq+Jz4f29+eI+xOJSQW1khN22vDD+cv4x7GY3DnrJKy1Bezf5rRxYjXx+60PBa5ZSUIyWffY/2XRcicCkymfHwl2QrLj9sbKJlg+oaIb7bIHZTuXwvkfmbllOMDQdvsPZZkBYTEgqKKnDqYjTe+WKPUgtwIkz2HrqDWQvX4ci/EahrVuIS8TAdb7y/HeNnrmLKoNqKibEufvy/KZg5pQesLA2fentSWrP85+NY9OZm/Pj7SSjD00QFKU+TvHbk/VMWZ1tTzB/Xo8llpBmcQOxINxy8ibvRje8dWxayhCB3WzhaGDOnk7ILsf38PbAF6aOQMNjPDe+O6NPwXq0+c5O1OAZaWkw2gjCxiw+2zprc4Py05fZ9VidoS5yeFnQJxq5x02CvL/5snnmcxOr0bEnJ0zt+ffFzz7EYbCtegJNZFLfz2fksSGxjyX9ve47ERz7jMNauG3N5TZ0Q53KiWItDmrKJo9QCp5lMn8QAi94N14UX3cGLwn/t5kRdntiH5tQ6IdW11VibvBWvus5jdjGImHjr/idw03VGT/VgWFjITnsrwuJba/Fd15lw0rNAbX0dZl37AzY6xpjqEIp+lj6sxXnz2kG86x+GcU5+zOJx9vnt0FLTwGKfUAyz82Qtzo7oSNzKzsTvg0cxO1KLTx5GmaAGH/bog2HO7qw1wUVm5TJ2jQdemgkLfT0sPXwCGSWl+HzYQAz1dANbRGfm4WpqPjOFd1gXd7y77RiS8orw7dShGOLXuFhShuJyPk7ejmVOrz1+E8tmDsIrK/cho6AEK14eicFByjVDSli7/zqy8kuZ0+GRqTh4LhK/77jE7BjbmBtiRB8f1sUEYd47mxuExKlL0ZgwvKmtaFu4eTsZq9edR1qGfDGXkNToKpSRWdyu+yefS38fO2xc7Y99h+9h+56bqJLTwCyNnY14gawM8sqfAnzskJVbgvzCCowc5M9K2ZOktOlceDxSMsWTnicMDMCIWnX8sesKhvXyRg9/R7BpIXvmbjxz+t2JYbAw1mM+294OFnhtTC/W4nhYmcHSQI9Z0P9v/EDGSjYyLZvpQ/hmylCwCSl7MtXVwVfDBzElTot7hSCxoBCfDe3PWsmTRFBM9fLD/3r1Zz6f7/fog9MpCXgvpA9spQbfKYs+TxOfBg7GAk9x/9FipsxJFa94h6KLCXulVbrqmvgucCYGWPo2ZCnSKgswyaEHupm4sBZHU5WHz7zfg5eB+Pu5u0kgIkwfIVDVFyG2wazFoVA6GiooOiHqqhoIL7qLrKpsvOe5BGn8TJQIy3C3OBLm2iYIBTuNn4S0ykIsDP8bPwTOQlWtEJlVRcxhqKHDqqAoFlThvZtHGNcOKx19xJWKnUp2Jt5jVVBkVZQjrqgA+jwe+tk7IyJPnBn5O+I2IyjYgGRAEgoKIaytxZL9RzHW16shW/HHlRsY6O7CLCSUJa2whJnAS1h+5AKuxj9GZLq49GTV6Rvo7+2itD0k4cDVKAielAWRLEVcRj5yisqZ8+tP3EL/ADe5ZSpthUxL3nWicUeYiIjvNzZ6vx+5GIXhvb0VFnzyxARBepEclyTOwLSV1PRCrF53AeF32patIY3LNlaG4PEU++rV1NTAnOmhGD7YD2s3Xcbp849a3CY0xBXdg5yQmVWCrv7KWZG2JirGDOmCQX08cTk8AV5uyjn5SEN6P5YtHIJXvt7FlCT5uFrC2dEewb4OsDJjb6EqbSFLrGF9ncTP4Z8PpkFfW1Ppz7Q05HPbx9OJsYY10xfb0P44YyR46mqsO/n0c3NCP1fnBvHwRt+ecvsDlGGihw/cjE0bHv84d2/mYJtJzl2go96YIQsys2MOtgk182jyXlhpGzECg23sdGyanCebgq+7LUBeXh7Uad8EpRNDBUUnhNRzEtKrsvDpw+Uw02x0tvA19GI1FpnoWSaswhu3N8JGu3G3c5J907IEZSClDJXCGsZg4bM7J2Cu1ej7Tnah2KJcUMMchF0xD3EwPqbhuo96hrH2w55cWMSICUJUdi5zEMiP+rcjh7AiJghX4x438bQnWQqCriYPv84ZzYqYIM9j7+UHTS6TiAkXaxOseXOi0gsvUiq0fP0ZuRN2Z40MxuIpvTkRExJ6d3fFwhm94ebc9uxeVnYJVq09z7gstQVtbQ3s2fQqK7ax5mb6+PT9UYwt7B9rzzOOTxJIqdWksezvdDYXFUaG2sz8iYG9vdiP5W6DyUO6IimtALra4pIXFzvFrVufZiHram3acJmxHjdmAK8O6gFrI/0mjeFcMLVrUwciLsQEwdNUvqMUm0iLCS7pCPtoihTU5em5gwqKTgixtyNDb2rra1FZy0clX9znoK6ijnR+FnJy8sFT5UFTTRO9zUKUGpBDypwIovpapPELmNOaquqIK89CTnUJDDS0YaChAz8je7mTRp9GpUjQxK0tv1q8666nzkNqeTGEdbWw1jGAjY5Bq57kTyO7QrwQllBTK64nNtPWQV5lJeKLCuBsaKz0Qjw6p+XALIKziTHKa2rAFwiVtockXJESFNJ0dWSvDOBiRBLySmQ3fff1d2EccZRlx793kZAm2ztfV5vHDDJT1LGoLWKCkJZZBDPT9jlY2Vgb4cdvpkAorEVcYg4z/4H0STx8lCGzF6OqSojDxyOYDANb+HjZYPVPs3DuUjT++ucSCgorGHcprpAWFcaG7R9i1x5endIHNx5w15wvYXQPH6YhnGtsjNnNrlAoFMqzBBUUnRQNFXVGUDRv9rpScAPZZfmoV6nHQuc5SokJeY2wNXUi/Br7b8P51z2GIcBY8brmCqHsZuUKkYDJWEhY6NUDHwcMVHgniZQ7yaKgio+3zh5jTpPa3A979MWirt2hKLG5shfHSYVFeGnnASZD0cXGEm/2DUVvZ8VetyqBEHeSM+Ck31JgXYtPxeifNsPH1gKjunphfLAPjHQV23XdeUG+M8zm03dw5PojzBvaDVPCAhQSF6Tpev3BG3Kvr6wS4IOVhzF1aCBjJavZjlKhtooJQnpWMT5Zfgi/fDWl3b0AGhpq8PO2ZQ7SOF1bW8cs6h9ICYzSMvG8g90HbmPi2CDo6igujJtDFsNDBviiT6g7duwNx679txmnKSOOFvxEVPz8+WSYm3BrIUzE5MAQd6YUhEs6QkxQKBTK8w4VFJ0UptayTr5r0GS7sRhkqZy/uSQ70RqL3AZhnks/peLIExTSvOffD6/59FIqLd08Q9Eccs+koXBhgNjdQ1Fi5AiKhjgqKhjh5YFQJ8Xr228lpTf0Ncgjo6iUGRCnp6WpsFVsRFJjKY0siiuqsOfSA5jo62B0z/b11JDSnBXrz0AgfLpt657T91FWWY3PFg1t0wKwPWJCQnRCNr5ffQr/e2eUUotM0ifh4WbFHFPGd2OeJ+m1IKVRDx6m4+KVOIwa1gVso63Fw8tz+mLU0C6MqOESP6+mdeAUCoXSLmjJ03MHFRSdFDL4Rh6DLMIw0XYUK/0TrTHfpR8Wug5UOk75UwTFF0FDMddDuUU+IbtCvpWhjroGfh08CkOdlXNgIlmdmDz5gsLV1AQrx4+Et6Vy9ceX5ZQ7EYjmmhLij7eG9YaxgpkJiVVsa4R42mPGgED08XdmBl21FzJv4n6sbA9+Uvft7miOQC875ujqaQvDJ70HdW2w+S0u5WPmxBDMmxrKZBCIsCL1/hrqqsxpcpn4vPgyclqZSc+tQcSJs6MZc4wfFQiuaYu1LIVCoVAobEIFRSdF3hRNDz0XzHOaxkqDWW0r3v8znfrgNfehrMSpEMr2/ldTUcF3IaMx0blpk6GiZMrJUNjo6WP9iAnwMVPebjeztAxlcuZNTA/0xyeD+0FbQ0Np0XIlVnZteZCTDZaNHQBvWwvWrGKl0eKpMzXn0/oHwNVG8SbZguIK/LHzcsN5spj3drZEVy9bBHnZoYuHLfSUKAuysTRiDgqFQqFQKNxDBUUnRUO15aLUU98NI02GMk3bbA3Qk8UUh55423MEa64Y5cLqFpfxVNXwW6/xGMqiZayskicy4fXv4eNhodPoLMV2uZORthb+b+QQ1uZPkOnYmcVlTaZSEo/790b1xcgAT1beF2mrWIKNqQGm9e+KcaG+MNBVfoLr7zsvw83eTJx98LKDv7s1dLQ6xs2FQqFQKP8t5FfqWeteetYeT2eDCopOCnF0ksZe2wZLPV5DZZFsRx5FqJNR8jTOrhve8x7NqsVe8wwFKT/6q89k9LZqnC7LhaAY7+6N7/oPgxaLw56aC4oeDnb4cexwWBk02kWy6e5ESo0WDuiORQN7sOIc1dwqVtmyJlmQnoJPFw5tV4M1hUKhUCiUZxf6i/4clDyZ8ozxsffb0FXXQSVYFBTNSp5G2gTiE9/xrGVAZDVlG2hoYUO/qawPLiJlQtIuTx+E9MGSoB6se49L+ieIk9PbYaFY2LMbawtxCVfixOVOA3xcsCjUF75uLlBlMUZ4TBrC/F2ULmtqraeAigkKhUKhUJ4fqKDo5BkKPXVdfOL9Dkx4xm1qVlVUUAy16oL/+U9iXUxIN2Wbaupgc/8Z8Da2ZD1GcXUVM3dCW10dvwwaieEuHuACYhnrYGyIn8eNRIANe9ODJVTWCFBcWY21L09EqJs9J5aavX2d0MeP3ewQhUKhUCgNUJen5w4qKDpxhoKnqoEPPN+ArTZ7g8xk9VD0t/TBl12mKDy4ri0ZCjK0bsuAmXDWb5z6zSYkO2Glq8c0X/uZsy9YCCVV1ejuYIvPhw6EniZ3/QC735zBDN9jW0BKoBNjKRQKhX1q68XDVNWalSxTKM8D3KwQKZyjqaqJt90Xw0PflbMYRFD0MffCtwHToa6q3PTo1jDX1sPuQXM5ExMEbXUNHJk0mzMxQdDX5OGHMcM5FRO6mjylJ3lTKBQKm8NOuSChLLdNs5DYYF/6RfBFLc1B2IYMo/076VcI6mQ7G1IonRkqKDopMx0mIciY/eFY0uhraGNF1xlyLWrZ4hWvnrDRNeA0hquxCSx0uZ3sy3avBIVCoTyN0mruF8ISTqXF41Dyow4RFrcLUrH4+jYU1VRyHiupIhPv3v8DedXFnMbRUOEhpvwhViV+j6paPl5kVOqfzYOiOHQF1Emx1uZup12CppoGc3ANLbGhUCjPE8X8qg6LdS09FQuPHERCYSHnsVwMTPDOlWNYdOEA8vgV3MbSN8P1/GRMuvAX7hamchrLTNMQyZVZeOPuL4gtS+X0t05bTReJFXH4Nf5blAtLOYtFoXQ0VFBQKBQKhcIi+yMe4eXtB3AhPrmFWx7bhDk642p6Kkbs2IxPz59BfiV3O/puRmYw4GnibHoiBh9ej32JDznLVrjqmzN/c6vLMf/qJvyTcI2zWGaa4iGYxcJyvBexGpfzIsAVOmo6zN/0qlT8HP8NCmsKOItFoXQkVFBQKBQK5blGVFuH5YcvYE94JLJLWg64ZJtJXX1xOy0Dr+4+jGGrN2JT+D2UVzfaY7OJHo+H3vaOjHDZGRWJAVs24PfwG+ALhazHUlVRQbC5LXO6TFCD96/9iwXn9iG7soz1WGaaeoyNOKG2vh4/PTqDN8J3oVTAfvbHjGfYcFpQJ8Q30ZuxI/UMJwJG+4mgIOTV5ODn+K+RU5WFF9bl6Vk7KApDBQWFQqFQnmvU1VQR6GSDrw6cw+AV6zHhl61YeeIKbidnMIMc2cZYRxtj/b2Z02nFpVhx+hLCfl2Hr06cR1I++6VJQ13dGk4TIfFr+HUM3LIBux89RC3LbnDBFmJBIeFCZjKGHt6APQmRrC7ASXkQKXtqEisnDpMv/o2o4kywXfLUnI0p/+LH2J0Q1ImdmbgQFIQSYRF+SfgWedU5rMahUDoaKigoFAqF0uGk5hXjpV924/0Nx7Dy0GXsvvwAVx6lIDmnENUCdhdxhOFdPNDNWbwYjs8pwIaLdzD/773o89VfeHfbMRy8/Qj5Zez1Bczu3rXJebLQ33HnAUb+tYX1cqjBzq5M9kCavMpKfHLuNEbv3IrLqY/BFsEWLYeOlgsF+PD6Ccw7uxeZFexlK1z0xGVP0mTySzDryj/YmXyLNQEjS1AQzuTexscP/kSpoIIzQUHg11bgSNZexJfHsBaHQuloqBkyhUKhPIdU1wihpcmdqYJQVIuKqhpUVAkgqq2Fs7Vpu/69o4UxJvX2x2dbT8m83lRfB3amhvCx1IO2viFszAxha2oIGxMDOJgbtdvMgdz+k7EDMOX37U0W8hU1Apx+mMAcBG8bC/T1ckKYpzO6OFgp7N7mZWmOEEc73ErNaHHd1eRU5iBDMGd174pJAb7Q19KEopjq6CDY2ga3s1ru3McVFmD+4f3oY++IT/qEwdvcAsoQYGoFNRUVpgypOZezUjDsyAYs6zYAM9wDlDbckPRRNEdYV4tvIv/F3cI0fNV1DHQ1FH/tCEY8fahCFXVomc15WJqMt+79hv/rsgj2Osq9dtI9FM0R1gvwZ9LPeMllCboadcMLAS0xeq6ggoJCobyw1NXVQyCqhRZPnfMa/n+vRcPXxQqudk3LONiiqkaIuzHpCH+UipsPH+PVSb0xqHv7JsI/SsnBg6QsRiRIxIL4b8vTNVJZhC/mD223oCCMDvFBfGYBtpy/2+K6wnI+iiv4qKrQQWJhAuqeLD4+mNQPs/oHQRG8bMwxpYc/dt+MlHubmKw85thw8TaWjuiL+WHBUJQ53bvKFBQSJOVQay7fxJ/TxyHYvmk5UXsY6uouU1BIII3bJFsx2ccPX/YbCG0NxcSmjgYPviaWiCyUXaJTIRRg2Y1TOP44Ft/1GgF7Pdm7/22heclTc/7NjEJMaTZ+6T4VHoaKOx+Soa2mmgbIrymReX1WdQHeuvcrPvd9CYHG7mA7QyFBVC/EuuTfMNtxEUJNw5SKQ6F0NFRQUCiUZ4oaoQjZRWVwsuRu0KFkAf7Z+hN4dVwo3O1k74QqCynJuHQvCX/uv4rH2UU4t+Z1Vu87Ib0AN6MeMwLiQUIWkzUg2FsaoX9wY119W3G2NsGG4+G49CC5zf9mVKg3xvTygaK8NbYPErIKcCO2dbtOdVVVfDV7KEZ1F/cmKBxvaC+ceBCHsir5TdLuVqb4dsow+NopZ8890NMVNob6yCotl/ucJgT4YHHvENgbK77wJgx1ccO3Vy7Kvd7BwJARExO8fRQWE9J9FPIEhYaqKkIs7THA1lXpkiR5GQoJppq6cNYzw62Cx3AzMIeqiqpSZU/yBIUKVGCgrosjmVfhpGsFY56+wnGIbWxrkFj/Zh+EKc8cHvrKfdYplI6ECgoKpRNDfrCJe4yhjjbnsXZcj8DMXk3rwrl4Pv+36xycLI3x8tAQzuLkFVfgnVWHEZeWxwgKLrgXl4HVe6/gYWI2c97ZxhR62sqVZhSX8XE7Oh03oh4jPCoVRWWyh2PNGt5NoVIdHS0eflwyBn/sv4qtp1tmDWQJkE9mDVKqtIU0TH//0kjM+mkn0vPlLOhUVLBy0RiE+blAWYx0tfHWsN74v0PnZV4f6uaANS+NA09d+Z9HIhhmdgvAT+eutriOlA3tmD8VAbbWYAN7Q0N4m5kjpiC/xXVzunTFF/0GtuizUEZQbIxp+flw1DfC0dHzGWtZNrDRMYSWmjqqa5v21JBnsa3vAnQ1sWdtjpHYOralqH3ZZTTG2/aFlhqPlTg66rIzFK66HnjL60MYaZpATUUNzzvP4iC5Z+3xdDZoUzblmaAjJq8S8qu4n7pKuJL2GEVV3E9CTcwvxF9Xb3Eeh7jhLD9yAVnF7NtDSrPtwn0cvRWN2Iw8zmLEpOZi7vIdjJjggoT0fLy78iBeXbGnQUwQ/FytFLq/3MJy/HXgGn7ZcQEj312Lz9eewInrMXLFhKaGGrydLZnSJEUgQuSdKWH4bO5gqKm1/hOhzdPA6dtxKK1UblqzgY4WfntlLHS1eHK/H9Ycv4Hb8elggykh/vCwkl1OcyMxDb+fus6UqbESK9AfWjLECelBWHbkNAor+Zy4PUmzO+ohInIaP4vK0s3croU4IqSWl2B/0kPW4pCMA8lASDDiiTdOyK/FrpQ7rA5FlbaOddBpzEydz70Lnip7e6/SJU8OOs7QVNVsmEuhpab9QogJyvMJFRSdkNr62hYWc8I6ASexruQ/aHKeL1Ju4SCP76NOoaa20Te9qKaSE5Hx6Y1TuJvXWNNM/NNJgx/b7H0UhRVXLzeczywvQ3EV+/7pxClm191IFFSIhVJueQVic1ruUCrt4X/kAsjb8e+DOHGc0oqGJla2ICUvvxwSv2ZxGeLnkJhVgDXHr7MW48L9RCz8YQ/ySxqFZXF5FQ5eeYi3fjuIcr7iswIy80vxxd8nMPvzrbgWmdLi+rjUPLz5435MW7YJl+4ltvl+LUz04ONsBaGobQvcGmEt5n25HQNfW43/++c0FGVCX3+sensC9HXk7zZHp+bi681nMOXzzUw/ijK4WJli+dzhkLdGJCJz0R/7EJ+p/OebZEU+Gdu/yWU6vMYyoI2X7zIzK9jASFsLY/y9Gs47mRjBycSYOZ1YUITvzzR+TygL6aOQ4GpsgleCxM29grpaZugdW65SVrr6sNU1YE57Gplh29DpDaJi5f0rzIwKtnB5UvbkY2iNwwOXwEJLXG50NCMSiWXsbQpInJ68DRzxR9A7CDQSv5Ypldm4WRjNuqBw0/PC2+6foLfZAOa8oK4GN4uusBaHQuloqKDohFTV8rEy/htkVYkXxtW1Vfj80VLsSt+IUqHskgFFqK2rxbfRW3Am5zZzXlArxKLbP+DbR1uQwWdv0UqEw77Ue/j03mHU1ddBUCvC7Cv/4JUb2/C4gr0pouTHNDw3HW9ePoLi6iomjf7SuX2Y+O82JJawF6dGJMLFxynYH/MI19JTUSkQYOGRgxi/ezvjuMIW2aVliMjMRrVIhA037jJiYu6WfZi7dS+is9n7od136yHis8WP+3hELMKT0hmnnA92/ouIVHYGMqXll+CjjccbFjzpBSX4YvtpTP1uG9aeDMe16MdKf8Y2n7yND/482sKS9LWV+/F/W87iWtRjXH6Q1O77JpmCn7adx5SPN+LEjRhGeMkiPi2faZhOySpCRl5pm++f7MKGBbri/dkD8OlLQ2Bp0vb6bRMD+Q2gbSHE2wGbPpkOewvxJGFpdKQcpPp0cYGqqvK7xf38XfH6qN5NLgt2tUWgi7hZub+/Czxs2el3CXG1Z6xkJbw+JBTfTRsOLQ11xl6WNG9zYSH7Zr9QbJk7mREVftaW+Gx4U2GjDF6mZrA3EC+Mvx04BB/2DsMQF1emFGr9mAmslTxJyp501DWwuv94hFo54PUuofAwMsOu4TNZK3mS9FFYaRtgTc8ZMNfSx4d+Q+GiZ4YNvefCzUB51yXpkidXPVt86/8KdNS1mFIne20L/M9nHkJNfVkVFN76/njD7QPm9CCLEbDWskU/86HoYzoQLwz/9QA7OtiOdWgPRScVFGWiUvwS/394y/1jxJVHM0LiWsFFaPC04G7bPmcXeRQJylFbX4efYncy9aO51cXIqylGXn4x44rxsc9sVuLkVJWBLxIwjh0OuibQVtfA44pC5vgx6gxW95zBSpzk0kKUCqqZ471rx+FqYILYYrEw+uLWWWwfOp2VODcy0hmnE8Jn58/Cw9S0QUh8ceEcdk6aykqqftfdhw3ON8Tf/nx8Eh4XiQXlt6cvYtvcKUrHKamswu+nGzMERFgsXLe/YeG/6vQNrF80SakYpDTnnbWHUSaVHSB3f/jmo4bzB288RG8fJ4XunzQqr9h2DoevNd6fPB6l5GJUaNsajCurBNh+8g52nLoLfrWwfYt8BXaKVVVVMbqPL4b19Ma+cxHYeOwWymSUGpFyJz8XK+QWVcDTUfkFl5OVCSMqPvzzGO7GN2b3FowKQf+urjhzJwE9vB3AFi8P7c5kIU7fj2fOB7rZ4v0ZXXD50WO4WLHbqP/eyL64GJPMbAKMCPCEpaEePKzNYKKnAw019kpPJBayBRV8jPDxYMrKts6dzIgXAy3xNGg2IP+/k7InsokRYisuS/p56EhGSOgo2YjdnG4WdkzjtZuh2N3rzS69sMQ/lOl5YJMuxrbob+UBC21xRmSErR+G2PhAQ5Xd0iAPfXt81+VV6GuIRbingQPWh3ykVKO3LGy07PCq61JoqIrfD2OeKT7x+hb5+fkNl1EonZFOIyiKi4vx1ltv4ciRI8z5sWPH4o8//oCRUcudM+ldya+++gpr165l/n2PHj2wevVq+Po27jaQ63bs2IF79+6hvLycuV3z+1QkNteCglBZW4FfE5ZDXUX8NqpCDQFG3VmLUyAQ76LWoR7Lo7eC9+TLjoiJuc7DWYuTXNGY7fgr/jLUn3yBkx8MshvFFnfyGi0Vz2ck4TzEu9Fkl215z2GsxTmd1FgKlFpawhwEU20d/DxsBCtioloowt6IKFipi18rkqWQiAk3MxP8Pnk0K3H+OHMDpfymi1aJmBjm745vpij3/pAymc+2nkRyTpHM6030dbBkZCjGh/opdP+ktp9kJe7GybfuJMwaEoSJYf7M4rk9QoiIg27eDrgTk/ZUUWGkr41DP77MND4rgyZPHbNGdMPYMD9sPXEHO0/fa2LhSu7/gzmDwCZGetpY/e5EfLv1LI5ebyz/IFaxr4xpv11sa5DP7VezhiI1vxgJmfnMLApy2YAurmAbG2MDvNy/O+4kZzBiguBpzY3jF7GQFdTWNjTLW+iL47HNRG9f2Og1ZrH0eOw0EzdnsqsfYyErgXxfc7Ec7mXR9H0nnwUNDvoM7HRavu9siwmCjnpLlyc2e0EolP+KTlPyNHPmTERERODkyZPMQU7PmTOn1X/zww8/YOXKlVi1ahVu374NKysrDBkyhBEOEvh8PoYPH45ly5axGptL+KLKJuKiXCRulLXStkGpsIjprxCw0FNRIGWhJ6qvBb9WvLB007NDiaAClSJ2egKSypqWT4nqxbXiQSb2TH8DKYNig7v5sj3a+9k6K22jKKG2rg5nkmWXzYzx9IKJFjtuTEejYlFaJbufZV6PIJiw4PoUm5WPPXL8+nU1eZjXN5j5qwx/nbiBiw/lW5Sa6eugn78LU/PeXtJyizF/+c6niglCRn4pHC3Fde1thZQeTR7UFT+9PQ5nVi3BXx9PwfzRIfCSkxUoKa/Chbtt7514Gvq6WlgyuQ8O/rAAEwd0gdqTkqOYlBzmc8g2GupqzLyJNyf2Addoa2rgl0Vj4WBuDGM9bh3MFvTrxhxcQyxkSXaCa0h5kyGLWQ95SIsJCkVRl6dn7aAojkp9R9nrKEFMTAx8fHxw8+ZNJstAIKdDQ0MRGxsLT0/PFv+GPC0bGxu88847+Oijj5jLampqYGlpie+//x6LFy9ucvuLFy9iwIABLTIUisSWRVlZGQwNDVFaWgoDA3HqVlHuF9/CupTfW1yuUq8Cs2orFGjloF6lHrMdFqGXWT+F4xzMuIw1iQef6ozxpsck9DJTvN74i4ij2PtYvkWlvromupjY4Q2vAQgwaeouQqirq0NeXh4sLCyYshB5DDy4DsllsnfCCV1MrdDfzgUz3bsyTYeKcCcrE1P37ZJ7PdktHOPhhcnevuhqZa3QzhT5bI9ftx3xufnw1NdBXDm/xXxXHysLvBHWEwM9XBSO8dLafYy7kzxIGQUZ+vXGkFBoarQ/2UlKWj785/hTb2dnZog/l0yEvblRm9/vO3Hp+GDN0SZlVE/jvWn9MHOwYgPTZPVV3CID5qJSGXvXwlLxJoCLrSl2fDO33f0GbXnOaTnFjBvU2Vvx2Pl/czkboEc4fy8BucUVmDEoEFySU1QKCKqe+v/280Zbv9OeN+jz5u79ZnMNwsbj8F+4HGo87oVve6gVVOPh+mX/+WvUWekUJU83btxgPoCSBT2hZ8+ezGXXr1+XuahPSUlBTk4Ohg5tLMnQ1NREv379mH/TXFCwGZtrqmqrnjoYZ6bDAqXEBKGgpvXGUVWoYqbjEKXEBCG5vPUG76paIQZYeTK1tIpSWM1vVUwQ4ksKMMHVFxY6eqyUO8miQiDAsfg4OBkZwdfCEjwF6rTvpGUiNje/1fRidE4e/nf8LGrrBmKod/snu56KjG9VTEhKn/65dAfRmbn4fe7YdmUriIvT59tOtem2GQWlmP/Lbvz9xiS42Zi1SQyRspL/zRsqY8qz/MnPv+27gi6uNvBzVszeVRpSCjU81Js5mg+gI+VRIb6OYBsHK2MsXzIac0bmNgy444qBQe6cZEGaY2Gkj7w89t3RKBQKhfICCgoiDMhOTXPIZeQ6ef+GQDIS0pDzqampnMaWZEPIIa3KJTsw5FAGvqiCyUY0h1ymWq+K+U5LEGQconScguoSmXEIOmqa+NR3LoKNPZWOk1JWIHdxbK1liJ9DpsDPyIZZmMlKqJH45PLWHsfd3IxWF+DdLezxXehwOBoYMQ2zitgrksdwNjlJbhwyQXamfwBe79YDRtriMg5FXrttt+4xMchB3p3m8XytLTG7ewCGe7szw7naG4MvEOKn41fkPg+SmQhwtEZfTyf08XSGh5UpkwVpa5ySiiq8u+4IBEIRpDfqNdXVYWNqAGsTA+avrYn4tK2pIWxM9JlZBZL/f572fge4tn9YGFmEE4tcZT/PsnCzM2WO2cODn/rYZdGW5yzB00FcC87F85BGpQNitOd5P0/Q503fby4+U88UEpelZ4ln7fF0Mv5TQfHll18yTdOtQXofCLLKNsgPzdPKOZpf35Z/87T7aMv9rFixQuZzI04O1dXKzXLgF1UzpU3N4YGHML2hsKlxYNLlylJXUgNHUcsmVWOeHmY7DIOF0FjpOOXCalgI1WGBlulFfyNbzHHtCT2BeqtxyBclSVGS90ReujguPRXe6i0zD5pqapjs5o/+ti5QrRYgr1rx55NRVgpdgQDe2i2tOoOtbTHRywcWenoQlJcjT6qPpz0UVfKRnpXNlDqRZ2qrrcks7FRUVRBkZ4MBHi5wNjVmPpslRa1nZORx7H4MDFVrYWjc+Dz0tTThY2cBX1sLeNlYSGUj6pjPdHs4fS8eQ31tYKrvzrjpmBroMM3X+uS5yPl/qqayHPmV5W1+v5VBsXeGW7h+zs8q9HnT9/tFoCM+59K9oxTKcyco3njjDUyf3rpVp5OTEyIjI5Gbm9viOrKQaZ6BkEAasAkki2Bt3bhbSRam8v6NvPtpb2zCJ598gqVLlzbJUNjb28Pc3Fzp2rxqQSUKqppmR7TVdDHXeSl0+PpMDDa+lBIe5yJLvemi1MfAEZ/4vgRDHjsOJemFqYhH0+nLZEDSW96DMM+1Z5tcNsiXMVmItva8r9zLQ4yooslloZaOWBE6DHb6jRNSlWHP42TENJuOHWRtg497hzH9Emyw/fw1xDyZkEyeqZ6WJvp18cW04C6suMZkFpfiz6sPIaythb+9Nfp4OKKvlzO8rMlry44TyezhylmZtuX9ft54EZ8zgT5v+n6/CHTE51yrAxr1KS82/6mgMDMzY46nQRqgiXq/desWQkJCmMvCw8OZy3r16iXz3zg7OzNi4MyZMwgMFDcOCgQCXLp0iWnKbiuKxJb0a5CjOeTLQtkvDH4dn2m6lmCoYYQ33T6ClaYt8qryWIlBdkryBaVN4gy0CMJ7ntPBU2PPHDC5orBJQzGZgvpTt8noZta+GnPyZSzvedfUihBRmN0QR1edh2XdBmCmRwCrdn1nUpIaYjgaGuGj3mEY5urGWgxiFbsnIoqJQQZizekegGAzI9haW7P2I/QwPQ9fTR6C3h5OMNbl1l1HGVp7v59XXsTnTKDPm77fLwJcf86fte+NZ9FV6Vl7PJ2NTtFD4e3tzVi7Llq0CH///Tdz2SuvvILRo0c3aYr28vJiSo0mTJjA/M9JHJ6WL18Od3d35iCndXR0GBtYCSSDQY7ERLGd48OHD6Gvrw8HBweYmJi0OXZHUlXbaBtrrmmBN90+hpmmBas1kuUiPgR1jb76c52GYbbjMNb9sqUbskPNXfBDt4kw1WTXnz2qMBeCOnGTal9rJ6zoNRx2euxkJaTLnR7l58FYSwtv9QjFDL8AhRquW+NkTDz6uDhiTkggAmytGNHHRmmbNCO7/jefaQqFQqFQKJ2XTiEoCNu3b2eGy0lcm8hwOTJfQpq4uDgmcyDhww8/RFVVFZYsWdIw2O706dOMYJDw119/Nel1CAsLY/5u3LgR8+fPb3Ps/2Kwna22A95w+5DJULBN4ROHJw0VdbzvNQMDLdmx02xOckUB0wPwmmc/vObVjxmaxzb38jOhr8HDp90GYpp7F06GCF1OfYxXg0PwarcQGMjITLHBSF9PjO/SOMW5Ezg+UygUCoVCeQHoNIKCZAu2bdvW6m2aL7DIwpE0fpNDHk+7vq2xOxK+iA8XXXcscX1f5tRNNsivKYWRhh6+9FsAX0NncEVxDR9re81Gbws3zmLoavBwatzLsNHlzld6io8fNFjOSDSH7YwHhUKhUCj/CdTl6bmj0wgKSiMuem6YZDsLmmrcNVlpq/Hwe9A7sNY25SwGEYBres6AhTa3A2RmenQF13AtJigUCoXCPqI6EdRVuV8K8UVlENRVw4innCkFhfKs8mx16VDaxHT7lzgVEwR/I1dOxYQkg8S1mKBQKBSK8nRkieXNwnhUiQQdEuuv5M1Irmj7bCpFUVfVxNqk95BUEcF5LArlv4AKik5IW6xUKRQKhfJ8Uy1qNM7gmt0p97A96U6DwQWXpFbkYdb1X3AjP47zWFqqPHz+aAUOZZ5AXT13w994qppQU9HAtsdf4Ur+PtoDV/+MHhSFoStTCoVCoVBYoq4Dd/IPJUfjtfOHEJ6TzvkCNdjMHl9FnMCI03/iaNpDTp9nkLErsquLsfT+Rnz6YDvyq5vOKmITJ10H1NbXYXf6QXwT/TPyawo5i2WqaYN61OFc7lbsTluB6icGKxTK8wAVFBQKhUKhsMTGiHt46+QxHIuPRYWA27Kdsc7euJqdimkndmLE4U3YHR/JWdbC3cACbvpmSK8sxnu3D2H8uXW4mJ3AiZBx1beEgYYOc/p87kPMuP4z9qXdYBb+bOOs2zjzKLY8AR9Hfo1rBbfABaY8G6lY4ViX9B7yqtM4iUWhdDRUUFAoFArluebQw2hmjktqUQnnGYTpvv4Iz8jAWyePo9vaNVhw5AB2RUUin984P4gtdDR4mO7ehTkdW5yPj66dRM89f+K7O5eQWcH+rv5wu0bb6tjSXLxyfRdmXd6CuwXprJf1Bhu7NJyvFNXg59jDeCX8T8SXZbEay17HtoldOb+2CqsS12NV4gbGUZFNTDStm5wvFGRhXfIHiC69jhcNyWC7Z+2gKA4VFBQKhUJ5rnE3N8V7h09gyF8bEfzzakzfshtfn7qAvRFRiMrORY1IxFosXR4P7/bsxZwm/QYXH6dg2fkz6Ln+L0zdtwvr791BWmkJa/HmeAcys3wklNRU46+H4ei772/Wy6FG2Hm3uOxOQRpmXNqEV6/vQlxpLtgi2MS1xWXRZelYEL4Kv8cdB19Uw0ocnqoG7LQbMwcSrhWE46PIbxBblgAuMhQShHXV2JfxE+4VnUVtPff9KRR2WbNmDZydnaGlpYXg4GBcuXKl1dtfunSJuR25vYuLCzMLTZpHjx5h0qRJcHJyYoxrfv31V1bidgTUNpZCoVCeQ8gikoshjs0R1taiRiiCnpZmux7bqgs3kJRfBB2eBrQ1NJi/Ojye+K+mBnQ0yOXqUKupQp6oHrqaPOZ2htpazOn24GtliaUD+uD7c5dRKRDiXkYWc0hQV1WFq6kJvCzN4d1wWMBIWzE3vck+ftgUcQ/xRY31+GRJfycrkzmWX70ELzNzDHFxxTBXd3ibmSv8XjnoG2GQvRvOpic2uZxkYk6kxjOHl7E5XvIJxjgXb2ipa0DZsqfE8oIW153PTsCF7ASMcfDH2z79YK9rDGUINm0pKAik7Gln6hVcyH2I97zHoY95S5GjSB9FKj+jxeUFgkJ8Hf0TxtkMxyS7MUrby5rwmmYopIktv4m81BhMdvgAeursD6ulsM/u3bvxzjvvMIv73r174++//8aIESMQHR0NBweHFrdPSUnByJEjsWjRIma22bVr15jBy+bm5oyIIPD5fEZoTJkyBe+++y4rcTsKlXo6brdDKCsrg6GhITPJ28CAG6vUuro65OXlwcLCAqqqL07yiT5v+n4rQwm/GkY63Nowk6/ZKzEpMNLVRhdH+YsKZT/jaQUluPgoGZejk7FwUAh6ejgo/bgLK/jIKS1Hdkk5cpijAtklZcgprWDOF1VWYduSqfCzs2r36z5/417E5bZcnEogz9TTUAdxpXyQ6nnyPm1dMBVuFu23tCYL7IW7DuJqStssQp1NjLFp5iRYG+hDES48TsbLRw626baj3T3x89ARDfNs2vuddi0rFbNO7X7q7Yw0tfBTn5EY7KD4INHfoy9hVczlVm+joaKKaS7BeN9vIHTU2y7+pJ83EVhjLi1HoaC81X/T38IX73qNhYWWIRTldM4FbHy8s9XbuOo64XW3l2GtbalwHGGdAN9GT21pJ1SvAgO+Hcp0MqCvYYKpDh/BXscTnW0N0p7HETB3OdR43H7vtpdaQTUebFnW5teoR48eCAoKwp9//tlwmbe3N8aPH48VK1a0uP1HH32EI0eOICYmpuGyV199FQ8ePMCNGzda3J5kKYhwIIcycTsKmqGgUChtoloogqa6Gue73qLaOpyJScAIP3Z/UJtTJRDi/w6dR4CjNab2ENehsw1ZkN+IT8Pqk9cRmZaDf5e9xPprdf9xFiMgiJB4nF/MXO5sYYIQN/t239+hu48QnpguFg+l5cgtrYBA1HoZxisDQtotJvBEHGyYNwlz/9mL5IKip96eZC7WzpmgkJggqKqo4PsxwzBm/VYU8atavW0/V2f8PG44DLQUX/D0d3RGqJ0DbmTIb7rV1dDAB736YpZ/ANSU2ATqZe0AdyNTJJTIdygKsbTDu4F9EGrtoHTZU2uCQl9DE+MdumCac1C7xERzyPcMKXs6nSN/boO3gR28De0hqBMpnaFoDW01LRjyDBBdFg8rLbHYUQQNVR4MNcxRKsyTexs1FTXcKjwOM01baKvpKRSHorzokUZTU5M5pBEIBLh79y4+/vjjJpcPHToU16/L7okhooFcL82wYcOwYcMGCIVCaGg8PXuoSNyOggoKCoUDauvqUFtfD14HTNAOz8xAqD33ac5vzlzAq71CYG+k+E5gW163ZQdPIbesglNBkZRbiKXbjyMxtxB9PJ04iRGeQITEDWbBTzA30IWdifKvXSm/GldjH+NSdDLzt7yqZS357L5doara/kXPIB83XIpJwe3kluUfsnC3MsVrg3tAUUz1dPDP/EmYs2EP0otL5d6O7NyvnjkW/rbtFy7SmOvpYsXooVi857Dc28zt1hWfDO6n1AKfQBady/qEYeyubTLt7R0NjbBj4lRY6yuWAWkea553ED67cUbm9av6j8VoZy+wQWtlT2Pt/fBN0GhoK1FWJY08QWGtZYzV3V+BtbZyZVUSHHTsoAIV1Dd7p8hlH3q9CX9Db2ahz1YfhSxB4W8Yhp4uQ6HPo+VO/zX29k03Y7744gt8+eWXTS4rKChAbW0tLC2bZqwsLS2Rk5Mj837J5bJuLxKJmPuztn569lqRuB3Fi1MXQ1GIjmoSy6uWv5hgE1Ljy++ACawXM5OxN+Eh53Fi8vPxwZkTzEKcS4hDDmlgvZXatoWmorv5Xx09h6ORscgtr+AsztF7MZi2aicjJgh67azHfxr3kjOxYM1eLPxrf4OYIAQ62yi0s0lel5S8YpyNTMDLf+5Dvy/+wsfbT+DE/TiZYoL0HwzrqpgY09fWxMpZo7Bs3ACoqz3958HH1hJJuUWoq1O86dfSQA8b50+ClYH83VjyWK4npSGvTPnPxQA3F8zp1lXu9Wfik3A5+THYwNfCEuO9Gp2RpEktLcHfd28xPShsMNHVF/o82X0sv0VcQ0FVJSduT9KcyoxFfJn83ff20k1GYzaBzKi4UcDe0DstNU3YaFs1ERIEIjBuFt5hTUwQTKWcnniq2g2nM6sSXqiMhArp8XoGD0J6ejpT9iQ5PvnkE/nPo9l3ev1Tetdk3V7W5U99/doZtyOggqITQqZ53i460eQyUR033uN/JW2CSCqdXFVbzUmcLyJ3IqG8cfFVLKjgxN98U0I41sQ2uiHkVJVxMvl1U/Q9rI68AcGTxUIevwL5LP6gS2rC98VEIaeiAtfTxWUVBXw+ovLYc1ohZJeV47MTZ5nT4Wlie0iy4Ccigy3Ie73ixCXsvRvFnCcLR3JZbE4+Vl9oWVuqaMnW5/vO4OPdJ5lyJwkVNQIcuB2F97cfZ+r6FeVBajZe+Xs/5q3eg9tJLYVXRmEp3ttyjLn+ckxKm+83q7gMvx2/ikO3oxmxUvuUxTu/Rog+//sTvT5dg5XH2u/8QX6UZvXqiu1LpsHWuPU64sN3ozH59+2Y9Ns2KIOtsSH+mT8ZZnri2QPNIe/Xuiu3MfiXf5Bd2npNfVv4cGBfeJibyv28kwzGqVh23H2WhvZukqnUUm8sDNgSGYGVN6+xbiFLIOLCxUC8g09Kod69fBxsIe32pKeuiclOYoFWUyfC2+H7WftOtdExYbIRBF11TXzmO7lhsf9b3DFWB965PJlHoaOmja98P4KBujhzdCn/OhLKk1mLY/LE6UlLVRcLXX6AvY74tSwSZONR2X/v1EMB0z8hfTQvdyKYmZlBTU2tRVYgLy+vRfZAgpWVlczbq6urw9S0baWcisTtKKig6ISUCQtxPOtvPCoV/xDxReX4LX4xLuTtZJq+2KJCVImrBeHY/Fjc7McXVeGDB1/gn5QdzGnW4girEVmSii8id6G6VohKUTUWhf+JzyJ3oFzIXpyimkqE5z/GP/E3kViWj1JBFeZd3oaXrmxDcQ17fuMJJQW4kvUYWZXlTJaCiInpJ3ZixoldrIqKo3GxDfaTe6Oj8CgvF+N3b8NLhw8gs5ydH1qS+Xj/8AmUVYt3wsNTM7DrXiRGrN2M946cRGIBO1Nlfzt3HVtv3m84XyUUYcGm/ZiwZhtWXbiJe6mZSt0/6S2YsXon9t8WCxZp3t/xL/637wxORMYjPLH9Q6YepedgyfpDmP37LqZfQh7RGXk4/SCBEQVpT3od2oKtiSF+fWkM3h8bhl5ebS/PKn/ynikK6YvY+9YsDPSRvUssjae1GZTF2cyY6akgLk7SWOjrQZsnLqEJdrCBtaHyJUKa6upYOW4k0xMkYZSPJ4Z7uTOnPc3NMNC9cQ6CMtjqG2BB1+CG87P9A7Bm5Fhoq6vD3sAQi4K6gQsL2Zd9umHniOmMqLDQ1sWXPQexFkdS9kR4x7c/vgkahUHWHjDm6eDn7hPAU2VvR1/i9vSB93iMsu2G+S4DoK+uha/8p8Nci73mYtJHQcTKG24L4a7vgvlO05neiZedZ8FVz4nVadlqKhqY4fgpLLQcMMJ6IZOpCDAaAC/9UNbiULiFx+Mxdq1nzjQtMzxz5gx69RLbRjcnNDS0xe1Pnz6Nbt26tal/QtG4HQXtoeiEFAnITn49DmT8wtjLEWFRLirElfy9EKgDtlYzWInzuFK8ODqbdwnOeg5IqUhDoaAYZ3IvMqlg8kXLBveLk1GHeqRU5mF1/L8oE1Yhs6qQObTUNPA/P+KKoTynM+OYOGRn/6uIE1CFKlIqCpnj64iT+KXHRFbibI6513B61YMb2PDoNpLLxAvIL26exZoB45SOQabh/nzzGiQVxKeTEnE2JQnVT/z0v718EWtGjVU6zt/Xb+N2emaT3dvPT55rOL/6ajh+GT9SuRiXbuHvyy0n095MaRyWtf/eIwQ52ip0/ycexDGZCb5UVkIe91OzMKyLR5vuNzm3EL8ev4YLj5La9XiIRWlbHktznMyNsfrlcUwmZPWpGwhPkD1MzMHMCPZmRigq58PRTLl6bEMdLfw+dwy2XL2Plf9egUiqtG5KiD+CnG1wPT4Vg/3EC3Fl8bA0w4Z5EzF/4z4mc0To6+aIFbMmYN/dKPgr0PwtN5aFGT4e1A9fnTrPnCdiYpiXO87FJzG9FhLHJTZ4tVsI9jx6iKLqKsZS1sPUDI5GM5lGcRNt2VkZZSxkw3PTGZtYQ00tRlRUCoVwMTQBm5Cyp3NZcZjp0o0ZDPdTyARm00ZZu1hZZU81tUIMsw5kzi9wGYTxdj2UcnWShbOuA6bYj0WgsT9zvqdpN/gaesFAQ3kBK40pzxYT7d6Fo64vc95G2w3veKxDWWEF07T9wkASrc/aILl2Pp6lS5dizpw5jCAIDQ3F2rVrkZaWxjg3EUipVGZmJrZs2cKcJ5evWrWK+XfEOpY0aZOG7J07dzZpuib2r5LT5N9HRERAT08Pbm5ubYr7X0EFRSeETNck1NYLsTP1W9TUiXfxtdT04GPA3g5HcmWjvSLJSkj6KXTVdDDJdgxrce4WNS7I9qU3lrcYa+jiNffhrMU5kSH+n5QQnt/43Ky1DbAsoKnzgqKU1lTjQOKjhvPZ/MbyDOLC8nXPwazE2RRxHzkV5TB+shhhSgyerPV62ztg+aAhSse4n5GFP67ILjciCyHSvPp2P+V2RDZfv4dfz8kv+XC3MMWCPt0wUoEGbTIb4ftjl7D7ZuRTb/vO8N7o7+0CN8u2OwiRRfucfkFwNDfCpegUpOS17lRkYaiHfUtnM4t0RRqmJQQ622L9q5OZsiriHnU3uWn2xtJQD38tmgC2YBp++wahq4M108hO3J8IGupqGBvkwxxs4mtjybg5LdxyANUCIfN6kazForAQsM3MoC64kvwY5xOS0d3BjrlskMfTMzLtxUBTE2/26IlDsTGMmCCQ2RNcQISEn6klIyYIljrsLogljLTzQZilKyOQCbrqPOZgmxBTd/Qya2woV1dVY11MENz1XOCl797kc8+2mJD0UEj3URC01HRQBu76xijcMG3aNBQWFuLrr79GdnY2/Pz88O+//8LRUVw+Ry4jC30JZBAduZ7Ml1i9ejVsbGzw+++/N8ygIGRlZSEwUCyeCT/99BNz9OvXDxcvXmxT3P8KKig6IUU12Q2nq+saS2i8DXpARYW9KjZJhqJ5c3Zf857QUW9sJmNTUEgzySEUxjw9VsudZPGGdxjMNHVZibM38SH4opa7z2T5+FWPwTDTVj5OIZ+PNXfCZV5HFhHfDBgMIy3l3h9SLkMmCxOnKln4WJrj9T49manAirLnzkN8d/JSq7dxMjPGaH+vNjUIS5NWWIL3th9HdGbbGkRJ34G7VfvKdsgOdndXO+Z4b0wYMwOCOC+R425SZpPdfEJeaQWi0nPQ19sZbEDiblwyhclUrDp5nclcEB6m5UAoqmUW/GxC7HX3vz0Ly/acwqXYFFQoWVLVGoEONoyr02vbDsFIh73vmuaQRePyUUPxwZETMOEwDmGGXwCcjdjNEsizkO1q3v5ZJ+3FzYAbQdQctn4DnoayQ+soLyZkMB05ZLFp06YWlxFhcO9eYxWDrNkTbekfbS3ufwXtoejEGYrm3C8+h33pP2F1whvYn74ShVLCQxFSpASFNCdzzmPh7XfwbcwvOJR5AqVCxev1SfN1YoVsq7P1SWcx9tJyfB99EOEF8RAp0egnKXeSxaf3jmH8uXXYkXQHFcIapfoNtsQ09gFIQyLPPLUbr184jLjifCjDqts3USEQyM2QjNqxBevv3WmxoG0PpAwko1T++xqVk4fJm3YiMV+xHoojD2Lw5VFxo3drnIlOxBdHz7arQZ80X++5GQljXW24Wpgw8wuexoZLtxGVoZzlHik1mhMWxGQPLn/9Kn6aOwpju3kzj0PCtsuyPx/KLIjJ8Lqtb07Dn4smwM/eknn+bRVS7YUM5ls1bxyWjujDxOGSni4O+GXaaJjoslcSJAsiJH6bMBpcQxqzwxy5sShu/pnQ1XiBSmconRKV+mfzoCgOleSdkMIa2YJCQokwH731JrZIq7YH0nSdUy1/USKsFyKuLBHdjbs2uGEowv2i1t1uigQVOJl1D3Y6pownuaKczGwsd5JFTGkufow6h6paIRa491TIfu1CRjLSysVN0vI4/jiOadj+a8B49LJpf3oyubgI2x8+aPU2VSIRll+9hPMpyfh79Djoy3CoaI3DUTE48ij2qbdLLS7BlM07mebWAe1oYD0dncDMmmirRjhw7xEMtbTwwbC+bXpftDTU8f6osIbzRIyQjItk0rNkaFuT06UV+HTPaex9ayZ4Ui48ikLsV4cFeDAHEZoPU3NwKYZkL1KQlFMIVyvFhrPJg7wufbyc0NvTkXGQKlPCreppkHKtl/t3Z8XC9WmEuTsx7iVcw7Z1MIVCobxoUEHRySClR8VC+bagumqGmOb8Nmx1lWuSTOXLbviU4KhjjzfcXoadjtgCj+1yJwmkdvZ973FKDTAi5U438+T7ymuoqmGWSze86tUbJkqUPkk3Y8uCNEW+5B2MCW4+0NNo3yJfwo/Xr7aaeTDV1sEQF1cMdXVHqJ0942bTHtKKS/DlSXGTqryFl7eFOXysLOBtaQ4vS3O4mba9jCOloAi7b0eij5sTkzkg7j26PA3o8HjMeR2p0+Q66ctIM72aAkKPqYXW1mIOT2vZZRpkjkJhRSVEdfVge2lJBqR1dbZhjrdH9mGmW3MFea79fNhxJ3oaFq3MjaBQKBTKiwUVFJ2MUmE+6upllxq46AYgzGQerLWVT6unSDVkS0Ns9UZZD8FU+3HQUFV+GuodOYLCTNMAS73GoL+Fn9LDWuSVO6lCBeMdu+BN7zDY6hqxYhXbHPLIB9i5YL5PMPrYODHNzIpyOysDp5JaeuMT68khrm6MiAi0slZ4wi8ZsEX6JiqflFNZG+gzooEICO8nAsLO0ECp98PZzISxBn3WILvu5h20QG5vPwiFQqE8dzwHLk+UplBB0ckoklPu1Nd8MvqZTUeBgjXtbemfMOEZ4TXXBfAzbHTcUHY6dho/v4VgmewQisVuQ6Gr3tSPns1yp8E2nnjXtz/jp84GzbMT+ho8THH3x1zvIDg9GS6lDKRs57urlxvO+5iZY6iLG3qZmCLQ1Y0ZdKMsD7NzMdzbA+/2682IB2OOm1QpFAqFQqE8H1BB0ckbsjVVdTDe7m14G/REnRJNuE8TFD1MgrHQZTb01NlxQyLcK2o6fdRD3wYf+UyAj6E9azGauzuFmDnifb+B6Goqtohk2yqWjbImWZxKSmRKsz7r2x9DXd1gZ2DIvN+kvlzZDI6EIDsb5qBQKBQKhUJpD1RQdOKGbHNNe0xz+ARmmooN/JJHdW0NsqrEjjdaqpqY7zwDYWahrC1cJdwpSmT+aqvxsMhtCKbY92I8xtmElDsR61MfIyu85zsQfSxdWH8e+xOj0NPKnpWyJnkMdHbBcDd2hodRKBQKhfJf8iy6Kj1rj6ezQQVFJ6NIILaC9TXojbG2b0JTjf2ylDR+BjMJmwz6ed3tZVhqse83Tkp4SEN2mLkPlnqPhaWWcj0M8ogtzcEvIRMxws6Hk4U+YbK7Pxb4dgPXlpMUCoVCoVAozyJUUHQyigW5GGq1AKGmY1nfaZeQys/AJLsxmGA7Emoq3CxkK0TVeMdrDPpZ+IJLPu86gjMhIcGAx15pE4VCoVAoFEpngwqKTgTZ1R9r+wYcdX04jRNm1hOaatwukvU1tDkXEwSuxQSFQqFQKJR2Ql2enjuof2EngmQkuBYTBK7FBIVCoVAo/zXFgoIOiSOs4yOqeA/q6ms7JB6F8l9ABQWFQqFQKBS51NVzN4yxOdGliUiuaH2wKlv8m70b+zM2gi/iduq7hqoOYkoO4XjGWygVZHAai0L5r6CCgkKhUCiUTkZ1rbDDYl3KjcY3D/cjvkz2HCQ20VHTwoeRP+K7mLVIreQ2nru+H64WnMKK2KUIL7zAqXCy0PZFblUkDqTOR1TxPtR3oEh7ll2enrWDojhUUFAoFAqF0smIL83HuLNr8WfsFaSUszPQVB59LLxwvSAes6+vwivha3E25yFEddyU7zjo2sBYQx/hRQ/wbsRyrIzbiMyqXE5ieep3Yf5WiMqwK/1v/J7wOdL4SZzEstDyY/7W1tfgZv5vTLairNlcKQqlM0MFBYVCoVAoLPCoKBfTTu7Ad3cv4kxaAoqq+Zy9rl1MbOCgZ4xfHl3EsNNrMJZDcaGhqo6J9iHM6Yjix1gWsRPjL/+ETUkXUSKoZDWWqooqQs2CmNPEvvxKwR28de8b/JGwFXnV7D43Qw1j2Gg5NpxP5Sfi1/jPsCd9HSpF5axnKKTJqXqAA6nz8Kh4/wufraA8H1CXJwqFQqE8t6SUFONcahJs9PRhrWfA/DXX0eXEAc7XxBJdTK3wV1R4w2UuBiYItrBFNwtbBJvbwtXQlDXL73d8BuBMZhzqUI/Y0lzmIALDy9ASI+y8MdzWB876pqzEmmAfgo1JFyF60licV12KNQmnsT7pPIZZB2CaYyg8DGxYidXbNAjHcy42nCfP73zeTVzOv43Blr0w2W44TDXZmV3kZRCArOrUhvNExNwoPIcHJeEYaT0NoaaDGJGjLMY8Z6aXgjRoSxDVV+NG/q9IKb8MX9XFRHbghYG6PD13UEFBoVAoFKUtrbmai9M8DqE9sZwMjfCoIA//d71xgaquqgpLXT3Y6hnAmhEa+mLBodt42lhLW6Hn9F5gX5zNSERKWTFzPrmsiDn2Jj5kzhtpajHCIoiIDHM7dDGzgra6BhTB1cAME50CsO9xRJPLuRAXZpr6GGzlj5PZTWMJ6kQ4mnmXOboaO2GqYyj6W/hAXVXxGUYe+k6w0DRFXk3TjAQRMydzruBc7g0Mtw7DRNuhMOLpQxm89ANwPu9Ii8v5tRXYl7EBNwvPY5LdS3DS9VAqjqqKGsy1vJHFv9viupyq+yit/BV83RHwMRoHFRYEDIXS0VBBQaFQXmgK+XyY6uhwHicyKwfC2loE29tyFoMvEOJK8mOcjU/CvO6B8LO2ZO2+6+rrkV1WjuSiYiQXFiGpqAgpRcXILa/AlumTYaWv167X/J0T/yKnogKiujrU1dVDVE/+1qG2vh61T/7W19XBVUsLsXw+BHV18DIzw55p06Gj0fYFOBEFK/oNRWppCe7limvWSczM8jLmkMcMny5YHjak3aJCS10DP/QaiakntzObsM0pqanGuYwk5iBoqqljTb9xGGTvBkV40zsMR9IeQiCnp0FaXPQwd8QfPafAiKetUCyShWguKKQh5VDksNAyxBsewzDcpqtCcchr3scsGAcyT8u8XlgvwtGs8zidcxWjbfpjku0waKtrKRTLWdcTPFVNCOpqZF6fUZWC3xI+R4hJf4y2ngF9DUMo00chS1BIeitu5P2C1IqL6Gv1MfQ1rBWOQ6H8F1BBQaFQ2gRZhBVVV8FCR5fTV4wsXP++fRuvhYhrtrmiWijCT5euQlVVBcsG9uMsTkRmNlZdvYnLSY+xb/4M1u+/qJKPC4kpOBOfiGspqagR1cLF1AS+VhYKi5KUYrFokIgH8peIh2qRqMXtPxkQ1i4xQSAC7v8GDcbc/fuRXlYq93Zkn1aooQFBbS2MtbXx99hx7RITErTU1fH38HEYv38bMiueXhs/2zcAX/cdrHDWpbulHeZ7B2NjjOzFowRzbV38HjYWoVYOUBRrHUPMdu2OfxJutnq78Q5d8KH/IIXFBMHXyB5+hvaIKpVv62qlZYSXXPtjkJW4CVlR+pp3kysoCKpQRZCxLwIMvaGlxOwkdVV1uOv54VGZ/PfKhGcOfXVDJmuhjKCw1Gp9mKvqkyVZZuVteBqO6ZCs338JdVV6vqCCgvJCQZxJ1FRUOf+iJqUZjyuKWKtfbo0/H97E6wG9OI/zzbUL8DI1Z3ZuuYLs4H9w+hQupqRwKiiicnLx3rGTSCoswof9+3AS4056JlZfvYlrKWnMeV0eDz4KLvKbk15SymQhzsYl4m5GFiPCpJkdHNDuzzi5jx8uXsH6W60vgqXxNDfD3GDFdqEdjYywZ9o0zDuwH/GFrTfbaqiq4s8xY2FrYABFIX0T60dOxKQDO8AXybdcfS0wBB/26Kv0d8QHgWE4l56EtIoSmdeHWNhhdf/xjKhQlsWevbEn5T4qRC132fU1NPFX6DR0N29sPlYGUtIUFSlbUCx2H4y5zmFME7eyOOrYwE7bChlVOS2uCzTywetus1jto5AlKEjT9nynpXDUcWPlN8O8WWN2IyrwM54GH4cwaKm3T5xTKM8KtFCvk1JbL3yuJoneKYpCbQdMESV2h3eKkjmPczk3Cd9FnuE8TmRBNn6OuILHT+q1uWJr1H1sjrqPuCLuPg9VQiFePXoER2JjwRdy8/kmpTRrbtzC5K27GDFBMNfVZVVIhqemY+72fZi5dU+DmCB0s7dlavcVvd+0khKsunITY9dvw6A1/2DF2Uu4nZ7ZQkzo8jQw3t+73TFIk/JH/fvi59HDoa/Zth3fUV4eTEZEUSz19LBr6lQEWrde3mFjYIDi6ipGcCqDt6k5fhs8Cq0tDXMqK5DRSilUW9HR4OGH3iPkXp9QWog7eewMOTPW1MHLHj1lXlcurMGR9CgIWbJ5JZkHU03ZfQunsyNRLqxmJQ5ZwJMshSwelSWgUCBbqCmC1xP72OaUCouRXZ3G2gaUlpoBDDVkZaPqUSxIAU+V+9JLCoUrqKDohJCBOBeyv0Kd1AKcC4FBFjHrk39AQU2jB3hNLTs/Fs3ZmXYMp3KuNpwvE1Y0NGCyye7U61iXeK7hvgtrypmmQjYhC7yfo87jUk4isvnico6iGj5yq9i1ISwVVGNz7D3m9IVMcT12SU0VHha23NFThqsZqfjy6nnmdFxhPvM3n1+JUykJrMUoq67GvAMHcCElpaG8ipS5xBcUYO2d26zESC0uwYwde7Dy8jXm/iWQ00eiY/HF6fNMbb8ikM8TKTeatW0v5mzfh5upLXdwS6qq8PmJs3hz/1FclxIaTyOtuASTN+3Ct6cvYc21cMTmid8DeVQJRRj+92aMXrcFa2+077UjC6dxvt44vmAOQh3tn3r7lVeuI+i3NVi49xAUxUhLG1snTUZfR/k76KklJVh85Ah6r1+HkuoqKMMQZzd83DNM7vUH46MxaOc/CM9SflpzTysHzPUUW6A2p7imCq9dPISNMXfABvPde8JEs3FBqqai0iCcdqfcw2f3jrFuIUtQhQpstU2Y0ykVeXjn7mbWBsSRPgoJ5Nl0N/ZnTgvqhFge8xcqRcp9FiSYaVrBjGfVcH6I5YSG0wcyNiGvOosT+9g+lh9CU1WcdcusvIWsyrZnBzs95Df4WTwoCkMFRSekWPAYjysu4X7hJuZ8lagYe1NmIrrkIKt+1gWCHGRVp2FX2l/MDwTx5f4+9n2czN7L6kTRTH4ukivTsSP1KEqF5czxUeSP+DNpJ6vDk6JK0vGoNINpGiRZioLqMiwOX4eP7m9nVVT8m/GIaYIkVofEfSWprABTL/yDxdd3oVIkYC3OijsXmAZPwvmMJFzOTMGww//g5XP7GWHBBknFRVhy6gjTIEuILSrAr7evo/+O9XjzzDFkVSi/k5tfWYmZ+/biTlZmk8sn7dqJ4Vu34LsrVxCVq/hgK7LY3/3gIcZs3IZ7mdktrv/kxBksPXoC2+8/wL2MrHbfN+mNmL5lN17aeYApc5LHg6wc7Lr/EKfiEpFY0HY/fQdjI2yaMRHj/LxgoKXZJkGbV1GJ+PxCFPMV+xzYGOhj87RJ+HRgP/DU1J4aT4enmEuRBNIXsXbsOIx0b+mkI23v6mBoyAgQZXmla3dM9mxafkLK+ax0xeUmxAEq0JIdC9SPgvvBTq+x7n6gnSumuYt3xE00tTHaqf3ZJFnoqvOwxKtvw/mhtt74M3QadNQ0mOtecpedwVDUQlZdRfy5GGodgHU9XoGDjhl4qupY4jGUFZtVgo22BVx1xTv6gyxD8ZH3K4yoIGWrcx3HQVdd+c+CBC8D8XvS12w4YxdLRAURMcOsJjGCgy0snwy4CzCeBS/DMehluZQ576jbBxbayvWdUCj/JbSHohOSVxXF/L1ftBmW2v6IKTmEClEOM33TT1UES8sprMSJLXvA/E2qjMHl/BOIK49EsbAAp3L3M5cPt2YnDhlcRKisrcKmlIPIqc5HTnUBc5AfjHlOjbtFyrAn9UbD6dXxp1AhrEYav4A5/og7gfe8xygdgzitEDcVCduT72Bz4i2UPSkD+PHhOXwZKL8Moq1czEzGvqQoeD+pt72WnYorWY8brv/x3mV8GzpMqRhkJ3jhiYMoEzTWZZOyk1/vXG84/+e9W/gmbLDCMTJKSzHnwH5mB7o5j/LyGk4fiI6Gn2X7HYsKKiux7ORZnE9sW5nbvcwsDPFom9tOTG4+Pvv3DB5mt1/sFFe1b6Gvr6WJkT6emBzaAzvvR+Kf8Hty78NER5tpYCbXm+oqXkJBFvIvdQ9CbycHpt8kpllmpK+zI7wtzJkejrZkM56Gpro6fhs5EobnNbHzodhilTDMzR2feXhgX/QjhNorH0eSifm23xDG+el2jlgEjnf3xjy/QGyKugcnA+OnCqm2oktKn3qNwMzTu5jzIx09MdnNH4Pt3KCmqspKD4WE6c5B2JQQjgx+CaY5B6GXhTN29p+PwppKxj6WLSQWsqezH2CBa3+YaRngr5CFeFyZj26mrmCTvubBzG/CbMexjJBY6vkSUioz4G3AbhxiH0t+40bbiI0ThltNgZ9hNzjosBuHZCistAMQbLaQOe+qPwhGDk4QlupCXVXx5nIK5b+GCopOSF71oyen6nEmaxljN0fQVbeArTZ7jayx5WJBQTictbXhtLGGGfqaD2clBtnhvVrQmOa9mN84EMpSywzjbRVfrEpDshGkf0JCdGlj7bKzngVechnASpx9KfeRXtnYz0BKnSQEmdrhLR/5pRZthSzwP7l+ssll0nX0oxw98X6gcnFIrfqS00eRUlos1zVngX8wFgd2VzhGQmEh05BLrEPl0c3GFtP8/DDCo/0e8GcTkrDs5BkUPWWXnvQ1vBfWG93sbOFjad7m+/e2NMcPY4bjbHwi0yBNMhCtYWdogH9mTGQW+0QgKIKeJg+Le4Vgdreu2HUvEutv3m1RpuVhboYtsyaDLcj97Z87A79dvYG1N283WKGa6ergw/6NO+JsQBbYxP2JZCH+vH2LuUxTXQ3BNjbobmfHaixi1/rX8HEYt38b0zPhaWIGbQ0NvBbYA2zTy9oRszy6Ynt8BPrbujCXDXFwZz0OT00db/n0w+qYK+hp7sRc5m3E3u56cwtZgpOe2GiAiApysE1vs2DwVHkw1BD3bRBHJ7bFBMFNzxczHV5nLGQJJMvCtpggGPGcMND6S6iqNC6/jDWdkYfGDZQXAeLw9Ky5PD1rj6ezQQVFJyS3QVCIvaslBJu+DI1qdlLAojohEiuiZV43wW4+dNWVGyYkgew0ZVbJ3uF9y21Ow4+IshxIv9Uw4VUakqL/rutMmGgq76zBFwmwOvaKzOvMNHWxJnQqTDR1WSl1yuaXy6xXJFN6f+47Glpq6kqJvC+unsf1TPl1/iNcPPB+jz4KTxt+kJONlw4eREl16z05Pe3tMMm3davF5lTUCPDt+UvYGynO5D0N0kNBSokCbdvv++5qZgJXsxBmkU/mMZxPSGLExc3H6RBK9WkQMkrLUFpVDScTYygLcYx6uWc3zAwOwO77D7H+5h2mzIlwPzMLNSIRs+PPFmS3/oN+fTDA1RkfHDuJ9NKyhnhsQ7IHH/TpAyMtLXx/5bJSn+WnYaqtgw0jJmDSwZ3wNDUDl3zSrT9TimjGYkZCFmMc/GCgocXJJPDmFrLv6ij/WX4aZprGGG7FrnCVhaaaFpx02Rd5sgbc6ahz+1mjUP4LaA9FJ6O6tgylglSZ113OXYHrub/gdsHfyOLfR1294n0ByZWxcgf9bEz5GasTv8H1grOoEJWxUu4kiy8e/Y6VcRsRXZaoVIO2sE7ECApZkN6Jl26swZr40ygRKNaQK2FL4i3kV8vebS+oqcTYs2txPP2RUs/lSlYKdiY0Zo6aE1mYg4n/blXK9Ym4Oe2Ilh9D0rj63vkTTZqb28q1tDTM2rfvqWKCsCo8HMfi4tp1/xpqqpjfLRC/jxuFd/qEYqyPF/ysLBj3I3n8ePHqUzMZT8NSXw8zggKwYfpE3HhnMVaOG4ER3h5N4m69K38omCKQHfX5IUE4t2QBPh86gJkHQVyXyBA9LiBZnKMvzcGULn4oqFTu/5ensahbN3w7eDDzHLnE09Qca0eMZ6Zkc4mehiYj9rmGlAUNtFFuqnNbMeZ1jMXp8z6PgUJ5HqAZik5GflVjdkIWpJciuuQedDXMYK0doHCc2PJIudfVox6JFY+QWhkPfm0lBlmMVegLnzR2X82X72pBMgpEcIQXPcCrrjMwwEKxUoRzOVEoEsgvq+HXCrAp+SIOZ9zGb8Hz4WXY/knGJYIqrItv7C2QRV51Bd69dQCH0iLxS8hEZoHRHiqENfi4WamTLKKL8jD62CZ812t4uxs+L6al4OtrF9p0WyIqKoUC/DFkNFM+0hZOJSbg7X//ZRyc2soHp04yMwv829hDQXbmyXwEckhDhFxuRWXjwLaiIsY6lgxsyyorZ2YwfDdyKNjAQEsLo329mEMgEuH643SmNOpqcioKK/lK9TbIe86kDGpqVz8ciIxm5lR0d2C3REi67GrFiCEIT2PH8rQ1pvj6ISuHG3EkTS9bxQfLtQcusy0USqeC7Ks9ayVGz9rj6WTQb7dOXO4krz6zr8M3MNZyYKUhWx7+ht0x3mYOTDQVH9QVV56CAoH8nXTiIjLUqg8m2Q2DCc9QKavY1rDQMsRk+x4Yb98dRjzFyhHWxV1j/N7loa6iil4WLhhp54NBNh7tFhOEFXcuIrNSfkaILOoDzKzRzcIW3SzsEGjWPpeaxOJCvHnmaIu5BgQDniZs9PRhracPGz2DhtPkIDvibRUUoXb2uLpwEerq6hjnqNrmf+vrUFsnOS8+TR4PyTooCxG9ZAefHL2cHFpMhyaN4SQW26UiPHV19HdzZg7yvNojphSJNT2Iu8GD0vTgSLA0R9HZHRQKhULpOKig6GTkVcuuC1dT4SHYbBHMasJgKOWnrQglgiJmmI8szDWtMdF2PjNZVFmu5Msud1KFKgZa9sQUu+Gw0DJlxSpWFl2NnZjGwn4WPlBXVdzRJaeqDFsSbz9VRBjyFO9vuZ6dyjR0SmOurYduxraYaGODYAs7+JhYKuxMQxa5GyPvYbiLB1P6Yatv8EQ8iEUDcapha+f+WYTYnhLHIq4hTcfadIFMoVAolOcMKig6EWSQXX5Vy0ZpCy0/hFl9AgN1O+RJWW0qCrHOaw5xvhhqORH9zEdBXVX5jw2Zin298H6Ty4jnd5h5N0yzHwlrbcUzH/KsYiVN2MOsAxgh4WHAjs/8mpgrqHkyx4JNESGBlBV9cuMkvI0tmOxDMHPYwUZbD/n5+bCwsICqkotUIkSIjSaFQqFQKFyjUic+niWetcfT2aCCohNRLEiBsL6qaVbCdCH8jKcyzhGkjIQNYsub7oQHGoVirM1sGPGUyxZI87A0nhlgJyHUNBDTHUbCQYedRX5zq1g2yppk8bi8kOmJCLN0Y1VESCOqr8Ox0fOhz2taJsXW+02hUCgUCoWiDFRQdCLypBqyzbV80M9qGYx4jqzGII3S8eXiRbillh0m2c6Huz770zsl5U7djP0ww2E0XPTYGVglDXF28jOyZ6WsqTWujHyHdREhjSHv2SwTolAoFAqFQiFQQdHJ+idUVTSYeRP+xtOaDMZhizR+EtMMO85mDvqaD4MaBzGEdUJU1dbguy7vw1PfGVwxzq4bXnFnZzCePJz02cvaUCgUCoXyQkBdnp47Oo19RnFxMebMmQNDQ0PmIKdLSkpa/TfEJvLLL7+EjY0NtLW10b9/fzx61NQlae3atczlBgYGjAuMrPt0cnJirpM+Pv74Y3Q09fV1mOCwAQEmszgRE5I+hk+8V6K/xShOxARBTUUNH3ot5FRMECy1jTi9fwqFQqFQKBRKJxIUM2fOREREBE6ePMkc5DQRFa3xww8/YOXKlVi1ahVu374NKysrDBkyBOXljbX7fD4fw4cPx7Jly1q9r6+//hrZ2dkNx2effYaOJsxqGYw1uV2EO+q6wVCD2+mnqiqd5mNHoVAoFAqFQnkeSp5iYmIYEXHz5k306CEebrZu3TqEhoYiLi4Onp6eMrMTv/76Kz799FNMnPj/7d0HeBTV2gfw//a+m94rLaH3qhRRaSIqIkXkqp/dq1672K4dy/Wi194VxYICdkVAmnTpvYeQ3pNN3Trfc05ISMKm7OxsSML78xl3d2ayZ2dn2T3vnHPeM5WvW7BgAcLDw/HVV1/htttu4+vuvfdefrtmzZomX4PJZOIBybnEBl4TQgghpP1wC3bIZdKk3u4oZEL10pa0tdfT3rSLS8WbNm3i3Zxqgglm2LBhfN3GjZ4nLUtJSUF2djbGjTsz861Go8Ho0aMb/ZumvPzyywgODka/fv3wwgsvwG63izwaQgghhJxLaeU7UeksaZWy9uU9itzyFfxCJyEdVbtooWCBAcu13xBbx7Y19jcMa5Goiz1OTU31qvx//etfGDBgAAIDA7F161Y8+uijPGD56KOPGv0bm83GlxpWq7U21ae/0n2y52VfWOdbOlE6bjrfHR19xukzfq7YXHY+95CiFbqqHrcewt68XbjANAahOv/2CKhyluHT9DnoG3gl+gdOhVZh9ltZemUn7Mq5F4HaIegW9AhM6m6t/u/7fKsXkPMsoGADpp955pkm92FjHxg2ELoh9g/Q0/q6Gm5vyd80dN9999Xe79OnDw8spk2bVttq4cmLL77o8djYRGRVVVXw1xdGSUkJP0ZfJzprT+i46Xx3dPQZp894XQ63Cw63E3pl/blp/MHmsmHByR+RYIhCD0tXRGvDvP4NbSm924K8olx8uGs+YvSJ6GUZiGhdvF/K07sToCuLx/7SjTicth2djMPRyXQB1HLpU4DLHYPhKk1CfmkJ8vMeR4juAkQYL4dKbmq1f991x462Cay1pq212LS119POnNOA4q677sLMmTOb3IdlWNqzZw9ycnI8Vs4btkDUqBnvwFoqIiMja9ezmaQb+5uWYt2tmGPHjjUaULBWjPvvv79eC0VsbCxCQ0N5Ril/YF9K7IuXlXG+BRR03HS+OzL6jLf97zR+hRmCJFfymzvfrKz7dnyKMmclBgR1woCgzuhjifdbgNHbnYwvUn/CD2VrEKYJwgUhA3FhyEDE6SMlreyz404o6YxDFX8jX8jEruINCKuMxIWh4zAo8EJoFdJW9mORiP0lv/P7u91HcLD0O/QLnIp+gVdBozBKVo4ghOKUuwB2Vz5/XIRDKLUvQifLnYgxzwQEhd9/w7Rams+IdOCAIiQkhC/NYYOvWfTOuhsNGTKEr9uyZQtfN2LECI9/k5iYyIOKFStWoH///nwdG/ewdu1a3rLgi507d/LbuoFKQ2y8BlsaYl8W/vxhZF9K/i6jLaLjpvPd0dFnvG1/xlkl/5ldP2NPUTo6mULRyRiCzuZQdDaGIsEYDLVCKen5fqDHFZiz8XUcLM3Al6l/8UCmpyUWA4M6Y1BQZ/S0xEGjUElybBOjRuOnrFUodpQix16ApZnL+RKri8CFoYMwMmQgInVnd0sWI9ncGyttS2EXqlvyc+yZWJLxGX7NWoShwWMwMnQcQjXSdIdKDrgY+62/1T62C+XYWvgFdhd/j/5BV0saWITpRyGjbHHtY5dgxdHil5BRvgjdAh6BTJbk19/u861OQFpfuxhD0b17d57a9ZZbbsH777/P1916662YPHlyvQxPycnJvKvRVVddxb+MWQanefPmoWvXrnxh9/V6PU9BW4O1YLCFtTYwe/fu5Rmd4uLiEBQUxAeEs+xSF110ER8EzrpgsS5QU6ZM4fsQQghpuxaf2I3t+RkwqdQwqjQwqTT81qhSw6TSnr49vU6pgV6pEnXVnf3NI73HY8baD7Eso/58R3LIEGMIRGdTKDqbQqoDDlMIDzYMKnGtCvGGUPwjcQw+PvEnf8wmJN1TnMqXT0+sglquRO+AeB5csCCjuzkGSrm4TIFahQZXx4zHxylnKsRMWmU2vj71C1+6GONwYcggXBAyACEa8anHNQothgSNxPqCFfXWV7krsTbvd6zLW4bu5n4YHToBSabePrWQROt6w6gMRZkzr956m7sMm/MXYGfhUgwIuhp9eWBhgC9C9GPqBRQ1Khwp2Jl7Jwy2q2AIuBEmbWecDyjLU8fTLgIK5ssvv8Q999xTm7WJVejZ/BJ1sRSyrNWixsMPP4zKykrceeedfGI8liVq+fLlPGCo8d5779Ub6zBq1Ch+++mnn+KGG27grQyLFi3i+7BB1vHx8TywYc9NCGn/CqsqEKTV+72cNGsxcisqMDAiyq9XyXfnZeP3E0dwTVIvdAmUfiZ3q92GQ4V5OFCQi4OFecipKMO7F0+BTtnyq+Gldht/30sdNv58tben79fcltlsMFQ5cMRVCavDhuERcXh+2DivKpGXxfXAdyd2Y1t+eov2l8tkPLB4acgkjI9NhjcMSg1eHzydBxWVLkftetYV6lR5IV9WZx+u9zfdLRF4b/hshGrP/C611JzEMViRvRunKqq70tRldzuxvfA4Xxi9Qo3ZCaNxY6exoirh4yIuxA8ZK1Fg9zyh7LGyU3xZcPJ79DB3wT+7zEakLhRiXBgy7qyAooYAAQesO/kSponCJeFTMDR4tKhyZDI5ksxjsb1wkcftNncpNuV/hp2FSzAg+BoeWIgdYxGkG8ZTx7IUsp5Y7QewOXMq4iwz0Cngn1ApLKLKIeRcaTcBBWstWLhwYZP7NEzJxr402cBvtjSmue0suxNroSCkrXK6XVC3QnM2+/d1pCQPSQFhfi/nrT2bMDupn18r+naXC+/s3oxjxYV4a+zlfivnWFEB3tm5BT8eO4jPJl0t+fO73G5sz8nkQcQfJ48is6wUnQKCMHdo9cURX85Depn1dOCQiwMFeThQmIu00vqpNuddcKlXwQTDgon/W7UYx0sKm9yPfaq7K4046CxDpMGMhwaM8royzF7bR6OmY/bqL7G/6OyxeA25BQG3dR/mdTBRo4s5DE/1m4y5279vdl/WFWr+4GtEBRMM69L0cI+rcNe2D5vcj7WQzIwfyVs0xF7RV8tVmB47Ee8e/7rJ/RIM0Zgdf7noYIIJ10bx1ofDpXubeD0a9LIMQA9zP/gi2XxxowFFjQB1NEzKMMghfi4opdzAszwVVK5vdB+FXAuXUIVKZzoFFKTdaTcBBenYxGTfEsMtuFHmrIBZJd2Au8ZszDuEEaHiKiXe+M/+5bg1aZToSklLz8+Lu1ahwmnH84Mn+q0cm8uJuRuX4fsT+3Ftkm8VhabsycvGQ+t+x6GifNzUa6BfytiXl4O3d27GspSjYJc61HIFBoVHS/LcTrcbmzPT8HvKEfyRchT5lRX1ts/u3tfrf08swPrh+AHsz68OIFjrA2s1aEr3oFDMTOrj9euPNwdi6cQ5uHPtD9iQ1Xwab5VcjrdGX4EAjbirwya1Fp+OnolZqxbiuLWgyX3v6DECt/fwPDavpabE9sX2/FR8l7qj0X0GBcfjjaEzEKD2LWhm3ZkmRg7A71mey4rQBuDp3jPRNzABvhobNhxLM1Ygp+rsFhE2huOmxGt4S4YUA9NHhU5oNKAYGjQGl0fNhEnl+1X8EG0nBGsSUWBLOWtbuDYZY8LvQoROmu9x1u3JU0ChklsQZ7kFnWPGQKWUPssUIa2BRum0U1XO5q+0SeFU+fZWmYxnc8Fq5Nv8f0ybC3bh58zVfi9nQ94hPL9/Me/X7E/bC07h65S/saswza/lvH1gAz4+vAVZFdXzqfhDQVUFZi//hgcT/lLldGDeljW44qeFPJhgYo3Sdi34Oysd1/+2GJOXfoHfTwcTzICIKOhU4gfJslSha9JS8PCaZRj8xbu47tfv8OWB3WcFE1qlEtOSenr9/GqFAgnmQKxNT8GW7PRmgwnmjr5DoRDZOmbRaPHZJddgVre+ze7bPyQaIT62VgVrDVgwZhai9Y2fbxb0RenNPLD11WN9JiLZEtFkWcX2+udOrLuTJsGs8vz+WB2VyKny3E3JW2wMxozYSR63se+642WnJPu9YC0PIWrPGRlTK45CSqyVwpMC20lJywnVee6a5XCXwCVUQCH3fxrgNkNoowsRjQKKdsgtOLEj+ybYXUX11kmN/TD8mf0aUsq31K5zum1+KWd13m9Ynv1D7bpKV4XkgQz7wfv61K9YmbOB53BnWGuF3X2mr7MUKp12vHrwBxTZy7C3uPrqa7nThrwqaSvjqWUF+PJEdXe8XYXV/cPLHTYcLvE82aNYC478jdf2ruP3awKKEnsl1mZV982WwtHifFz56+fYlptRb32qtQhfHKrOquarrdnpmLB0Ad7f+zfv1lK3Ir0i9Rjmb1+P/MpyUc/NPqtr01Iw/cdvcM1P32Bt2tkVEbdbwKtb1+OJv1ZgW3b942xKakkxHlj1G+5b9RtuXvY9vj28D0VVlU28FuD635bwoOarA7u9Oo4hETFYNvV63NFnCB9L0Jx7Vv+CwV+9g0fX/wExVHIF5g0bjycGjUVTpW3NTcPIpe9jyi8LUOHw3Ae9JSL1Znx+0SyEaD0PsLW7XXhy2zKM+vltHCrOhS9Yd6TXBl/Dx2N4sjHvBK5Y9S5+z9gHXwWqjbi7m+eKfoXLhqf2foMPji2HFEaFDka0LvysLlXMn7mb8J/DH0ny3S2XyXlGp7qMyuqU69lVGXjr2PNwuMV/Fupi4yjqCtNWTzznFKrwU/oTKHOc3SIjhk4VA4OqS+3jcMOE2vvp1kWw2g5KUg4h5wIFFO1QiW03yh3HcbjgRf7Y5szFpvTJyClbJmk5WZX7YXVkY13Ou3C67Sh3FmJhyi3YVdh832BvHCndh5yqDPxduI63UpQ4CjH/8BP4KfMrSYOKv/K2Ib0ym6c+3FKwG9lV+Zi751W8ceRz3hVKKh+fWIns01cEV+fswyFrOm7Y/AYe272Qj3eQQpXLgQf+Xoyq01dSdxem4ff0fZj851u4c/PXvGuSFJak7MGzO84MjswoL8G8nStx4U9v4Y71S5BfJa4CXtdfmSmY+ttCpJXV75s/c9lXGP39B3hyy3IcKaqfhcUbZXY7ntiwAtf88jVSrGeC8BqPbViBm1d8j//t3MQHNHuDBSasS9OUpQt5JZ4FLY1h297auRkLD+zG/vyWt8bFWwIwq0dfdA4IatH+7Or6rtwsHtSklJx9vM3RKlWYO2Q0fpxyHe/S1JzcinIUNhHgNId1zbq552B8OPZqnmGpufdbr1LDFwmmIHw+ZhYs6vp5+c0qbW1QwyrIiaaWvd9NiTcG4/n+V9Rb1/l0StmagGpAkDTZAi+LGoh+gYm1j1kK2WviqrtuKWUKjAztIUk5rDvTrLjLah93Mybg8R53QCvXQAYZxoYNk6z7KksTy8ZKMPH6zng4+UWEaarTtQ8PHguV3LfPQg2TKgzRuuquexHa7pge/wYSDEP54+6WS2FQ+v5ZqBGqr26lCNAMRO/Q/yLRcht/bNH0h0Hle7c0Qs4VGkPRDuVXrOG32eU/I6z8EpwqWYAKZyr25j+EGNkLCMMUSco5ZF3Jb0scGfi74GucLN+CEkcm1ua+DblMiT6B0gxkXZdffXXTDTd+yFjIg4tcWxZW5f4CsyoQF4V5vvLmDVaRX5T2a+3jb9N/R4mjFFZHGTIqc5CYEYurY+pfDRPjWGkWvkk900f218xtWJq2GU7BhXQUYEHKatzU+RKfy3lhz284UpqDbqi+YrejMI0vNT4+uh53d69/1c1bf6QdwtytZ94zpsxpx8eHt9Y+/vzINtzfR1yGFWbh4Z14assKuDwEjkdLzvR1/yX1EO4P9H6QJ+u+8+j65cgoa1nr0N78bFwc17K0jWyswX2rfsWRoqb75HtSYvOupW9QRDTiBl2A2UNG4N1dW2vHZXjCujyxCnGF08G7FYnVJzQCP10xB+/u2YI3d26Cw10/6O4ZHIZooxl783PQO8T3eQEuie2CxROvw01/LkZWxZlZfYeGx2JGdDR+TT2MsTHSpNRkiQU+GT0Dc1Z/xd8n5ppOfTGzcz98eGgzullCofFy3ojGjIvugTkFQ/HFieqW3nFR3XFb0ih8cXwzdAo1wnXSTHTK09Z2vwpzNv2Pf99cHNEHs+JH8rSx+bZSdLfEQCrDg/sjQR+NkxUZmBA5CgMCe2Jen/txrDQVQ4Ob78LWUjqFHkOCRmF9/gpMiJgGiyoId3V9Eoese0RndmpMsuViZFTuwejwf0IhU2JS9BM4XrqRr5cSG0dxyroQPUKf41mmOgfeDaOqO4SyPlD4YZbutorSxnY8FFC0Q3mnAwpmT+59vCrO6FXxMCuk+TJ3CQ4cta6tfby14Iva+4HqWHQ1+5ZBpgZrkdhfcmYw4d6SbbX3I7TRGBR4gSTlrM7dzFskaqRVZNXe72yIw9iw6qtRvmCtHC8dWFpv3ATr6lR38OSU6OqJGX3xw6ldWJK6s9HmxckxvTEzcbBPZazPTsG9m36s1zWoLpaz/7ouAzCn60DRmYle2LYanxw8c749YWlCL0tIxoS46i4ILVVcVYnntqzG4qP7W5QF6J99h/JKcd/QlleMe4aE4dOJV/PK/bKUI7wbU1PtaQnmAMwfO4lX8sP04nLa9woJx7vjrsDRony8u3MrzxzVMBhjA78XTr6GD7Ju7Py1FOsO9q/+IzAxoRseWrcMu/LO/Lth4y3euXhK7fmUQo+gMPx42T9wy6ql2F1QXZZRrcZ1Sf3xj+4DJW2x7BccjfdHXoOb1i7iXZ0i9SZ0MgfjxSFnrr5L5YFel2J3UTr2FGWgb1AsnyPipq4XSl5OgjEMcxJH83koxoRVj6MZdfpWSqw70qy4yXjz2EI+7wSTaIjhi9RGho5HWkUKupurf9ssqkDJgwmmi2kUcquO1g7AVsl1kgcTjEXTD8nBT8Cgqm5NkskUCDNcitxy37rYEXKuUZendqbSkYFyR/UkfNWqf8hlUKB3yH+hlOgKR2rZNlS5z1wlrKGQqXF5zHPQSZQj+6+85TyveEN6hQF3dnlMkiweDrcD36b97nFbmCYYz/a6B4Fq38v5IX0r9pd4HhzdyxKH1wf8H0K1vl2NPGrNwbO7f2l0+5TYPnh54FSfMj5tz0/H7X8t5pWsxtzefTge6nsRQnXeZ8sqc9hwy+qlzQYTzNTOvXhlMkTX8gp4ZpkV1/+xpEXBBFPpdPCK+pjYRARqvfv3E20y46Y+A/HdFbOw5brb8dyFF2NEVBwUHrp8nLQWw6zW8K5LJrVvgy+7Bobw4GT1zJswu0dfPsC3xt/ZGbzbEwsGWGuFFLoFhmDp5dfiiaFjoD195T69Thc1sQOzPQnTG/HNhFmYFH9m0tIaUmeCGxGegDdGXMXPFxuM7S8sgGDpYQPVevQNlL7SXdf1iRfhkog+iNRJ103Hk8FBvXF75xk8naw/sQtLNyTe4/csgFqFCaPD74K/sdb9aNM0v5dDSGujgKKdya880zpRlwAXduTchHTrNyip2u3zlbya7k4NuQQ7lpx6AFvyF/IxFb6wuaqwpdDz8VS4yvHGkWextWAtXIJv4w5W5GxAvt1zX/JcWwGe3Pc/HLKe8KmMfJsV7x5tfAzLvpJTeGDnZz4NzGYDru/d+m3tuAlPfkrbg+f2/Cp6rMbBohx+xbbupFyevLpnDZ+B2Fus69G037/EqvSWDeh+crP34yeijGb8eMV12H3dXfh60gz8e9hFuKZrL/QIDuPpRz15bvNqnkXJF2EGI+b07I+vLp+Ov+fcgZdHj+dBSt0y2fgJKcWZA/DCyEvx17W34OY+A6FTKnkwsSMnE1JjQcMtvQfjj6k3YFhkLNJL/Zfxi7UasTSxd/YaBn+7NKYb/jP0ckQbAvxaTpQ+AB+OmAOL2r/dWthg8Cd7TYe/sQr+BSH+SbncUJBa/JwW3mBdnUgrYXWUtrgQ0WRCa+QEJbBarbBYLHwmb7NZ/JWwHdm3oqDyL4/bBEEOV2kSlKYT6BH6hOirIDZXOT48dg0PHpqikmkxOeYZxBnE/aiwfrHfpX3S7H5sNtRbOz+EUI3n7ihutxu5ubkICwuDvEGF0eay447tT6HI0Xzl56Kwobit00xoFN4P9Htyz1dYmb2n2f0sKj0e7Xk1RnvZDYH9M31o2xL8VicjDDtSNobiCKyn26nOuDCsC+YPngajquV96FOsBZjx5xcosLUslSXLAvS/4VdiUlz3Fu3Put98tH8rjlsLq2dCttv47Md1Z0f2FCx1sQTjp8v+UTsYt6nz3RzWDeh4cQGfY4FN0lYz2zMbVPz0sLG40Q9zUpTYqrAq9QSfM2InGyw98yavBxa39JgLKyvw6b4dvFvVzX0GSfDqG3k9goBFh/fg6q69eEuI38pxu3H4VCqS4uK9PtdtdS6clvDlM96e0XH773xLVQeR6nUMm/QslF78PrUGp6MKm3/79zl/j9orCsfbEae7HIWVTc/aHaDpi97Rr8OoEZ855HjZhiaDCTZbaHfLOAwJng2zOkL0j/e6vKZTTeoVRowIGYsLQi5FkLo6K4q3fs9e12ww0ckQi5Ghg3BhyEBRwcSm/MPNBhNBaiMfQ8EGSHYxev+eLTq5rV4w0ZBSJucZZTqbQtDJGIpOphCUOW0tDigyy0swZ83XPJhgmXZYqkujSg2TSnv6lj2uXkx1btlV65ZWxFgAcmuvoc1W+GuCi5pbNh9CbmU5EnzM7sOwym/34DC+TEV1UMdeP8tUVLcLj5RY5f6qbj34Uu6ww+3HSzhBOj0eGHyhz2MnWnIuZyVLN/i2Kd52QxOrrQQThBDSHlFA0Y6wYEKA564oRnUSugXMhaM0AXpVmE/lHC750+N6GeS1gYRFXZ26z9dUsZ5E6+L5QLyBgRdA7UNawEpnFZame869zvKojwwZhAtDB56VU90bVS4258SPZ603KXUYENSpNohIMISJrrDsL87Ei3uru1Ox/us1AQNLPZng1qNrdDziTME8BaVYLDj4dcJNMCg1UJ7DK6Kswh+s0CPYx0nMvMHOS7jByBd/M0gQFLVES+aQIISQc4WyPHU8FFC0w3SxdankgegS+C/evUkQZMgt9S1TRLmzAGkVO88KJJItl/JAIkAdBSlTxZ4pQ4Y+AYMxKnQCOhuSJbla+EvWapQ6z8yTEKoJ4q0QI0MGIsEQI0kZn5xYhczKQp7+keWAr22FMEXyfO1SyKoowZtDZ6KzMQSRegvPsFKve4ApxOdmclODnPyEEEIIIS1FAUU7wbpl5FWeSeMqgxKx5uvQKeAOqBTVff0ECSZnO2xdDaE2c5QcyeaLMSTkOgSooyGVuqlipejW5AmbAfuHjD9hUZl4WkPWGpFkSpS0W0OF0waTUov3h9yBHuYYKH1oIWjKJVEtG6NACCGEEHIuUEDRTpTaD8Duqs52E6IbjW5Bj8CgPjMrqlQOW1fxQCLJPJYHEoFq6VMcslSxkdpYjAqb4HO3psZkVubg4eSb0cvSFQqZfyr6eqUGcxLH+OW5CSGEkA6LDfNqaymB2trraWcooGhHk9kZVJ3RLWguQvTST4jEFNnTeUvE+Mi5CPJhUHdz2MynV0Zf59dBkN1M0gdbhBBCCCHkbBRQtBOB2oFIDLgVcpn/JhEKUEVhYtTj8LdofbzfyyCEEEIIIa2DAop2Ikjn/wmeZBINIiaEEEIIabS+IVQvbUlbez3tDdUgCSGEEEIIIaJRQEEIIYQQ4gd2xyEIgpPeW9LhUUBBCCGEkHPKJTjhdNtapawy+3EcKXoLVU7f5m1qCbvjINKyL4S1/GsIgueJac9LbqFtLkQ0CigIIYQQ4lF6RQocbrvf3x05FPg549/YWbgUaeU74RZcfivLoOqEnIrVWJ02DjtzH0JR1S4+15M/6LXj4XIXIL/o/tOBxZcQBP+/n4S0NgooCCGEkHYktTwNpyrS4fJjpbvGqYrjeHzvzfjgxMtYl/c7cqsy/VL5ZmnE+wVORVrFDvyQPhefHL8Wf+W+j9yqo5KXx8pKMM+GACeyyn/HpqzrsDFzJjJKf4JL4sq+XK6HQXcZv+90nUJ+0YNIy74A1rIvKLAgHQpleSKEEEJ8VGQvRYmjDCHqABiUWr/Os6NX6vHInmfgdLsQp49GojEeiYY4vsTooqCSS5defFjwWGwuWIWD1p18YYLUoUgy9UV3U190NfWEVqGXpKwEwxAEqP5AJVJR7izAjsLv+BKkjkOS+RIkm8fCrI6QpKwowyQcKpwPh7uYPy6x78fu/MdwsPBVxJmnI840HVplmCRlmfTXoKxiUe1jpysd+cUPo7j0fwgw3Q2DbjrOOzSxXYdDAQUhhBDiI71Cg3/v/QiHSk9BK1cjRGPhS7DGglBNAILV1Y/5fY0FgWoTFCJTdYdqgvF/ibPx9rGPcbz8JF9qKGQKHmQksABDXx1kxBlioJarRZUll8lxdcyNeP3ok7XrCu152FSwki+sq1KioRuSzH2QbOqHaF08/xsxWBCWZB6LrKoN9dYX2k9hU/4nfInU9USy+WJ0NY+GTmGBWAq5FrGmq3Gi5ON66+3uQhwrfg/Hiz9ChGEcEszXIkDT16cAUasZDoUiCi5XZr31TlcG8ovnotD6Jly2+yAIUwHoRJdDyLlEAQUh5LxmtVfBrNb6vZxieyXSyovQOzDKr+VkV1ixLOMgLo1KQrQhwC9lFNkqsK8oE3uLMpFvK8cTfSdA7uMVedatpdxpQ56tDPlVZSjgt1aUF5TgVGYVfzw2MhnTEwa3+DnZFfxn9y7BhrxDvELIKvAyVN+y18seyWvu13mslivxbN8ZiDeEtLgsjUKNZ3rdhLt3vI5cWxHSK/P40hg55AjWmDE4KBn3dLvG6+DiwpCh2FW0FxsKttZbz7pBpZSf4svqOmVF6yNxQ/xM9LAkwVvxhq4YGnQRthTWPOMZbrhwvPwgX37LWgSj0oJ+AUNxRdQcKEW0lIRpuyICyci2HfS4PatyP1/W5ryNeOMQDAmejQhdstfl8OMyz0RKyWcQcHbXseruUL/xxaLuiQTLdYgyTBYVWLA5nkz6qSgufcvjdpcrC6XlC5CWMx+B5n/CZLgWcpn/v5MIkRIFFIS0c27BDbvLCa1C3BVIb+wqOol+gQl+L2dx6jYkmyPRKzDab2W4BDe+PrENq7IO45ML5/itnOxKKz49ugWLTmzHS4Om+CWgqAkilmUcwI6CdCQYg3B9lyGSPHeF046DxdnYU5TBAwi2sMCoxosDr/A6mNiYexyrsg/ywCGfBQ626gCiylU/C45cALrCgqMoQZwpBJfH9PWqHKVcgSd7T8UTuxdhdc7+Fv/dv3td7VUwUSNIY8ZzvW/GvTvfQKWr6YxFbrh5K8VNnSaLbqm4MfFaHC49hnx7YZP7sSBpYsTFooKJGpOjZmFPyVZUusqb3C9KG4exYVNEBRMMq7APDZ6DHzMfa3I/tVyPBMNgHoCIpVNGIlx/MbIrlje5n1YZDqOqi0+tFEb9tEYDijNkENzlEIRKoIMHFLI2OJGc/zopnh8ooCBtAsvoIcANhUy6vr+NXQXNrkpHpC4W/rYsexUmRIz1ezlfnPwDPQISMDS4p1/ft/eOrsDuolS8N/QWv5Vjczkwb+9vWHpqB74ZdZvfytlflIWndv6KfcWZmBLb2y9lnCjNx0dHNuHH1D1wCG7+YzUsLNFvQURdMxIHiKr8ONwuHLXmVgcOhZnYW5yJoyW5cPMOz2frZg7DlDjv37/BIfFYk3MIf2Z7vgrdkFImx0sDpkKn9D5oVsmVeKHvTDy95zssz97T7P7/1/kiTI4ZCLE6GaPweI9/8O5Pjb1vTC9LIp7vfQsMSvFdXAxKPe7s8n947sB/ITRSVpA6APd1uwNdjL599oxKMyZFTMeSjE89blfLNZgSNRsjgi/1efxIrGEgInU9kFV5wOP2PgFXYHjo9dAqzPBVgmV2owFFsHYYkoMegEXT3edy1KokqFV9YHec/RlUKhNgMd2F2PAJULTChSFC/IECinaqyrYNWs0gv5eTVroEkYYJUMoNfi3nkPVPHkwkmS/yazn7SrZhY8FK3Nb5Ub+Ws61wFxac/AbDggYiQC2+n29zdhYdxdfZf+Im1WV+CyhYMPHm4WVYePIvdDFKMyDSk6yKYty3bRH2F1f3M9YqpP96KnPY8MaBNVh4fGttZS/BGCxpGawy/sHhDViecaheFa9XYBQC1L71j86psOKPrMMeg4gaKrkCV8X38fq5WevAv3f8gp/S9rb4b+7vOVbU1XVWyX+s92XoHRCDZ/f8fFbLRENjI3ugmzkcYrGWimf6Tue3v2VWDyz2xKLSY1SY75XHocE9cHuXK/HOse8b3aePpYvosQZ1dTd3w5SoCfgx83eP2y0qCzRyDaQwIuRSbC5cjYzKM2M26n5PqOXSDEZnzzEs5Hp8n/aIx+0OoQoquTQDwQM1A2BSJ6HUfvisbTZXnmQDsxmTfhoKSs4OKFyuXCjlIZDJqEpG2i9KG9sOsRzWOQU3wmbfV2ed9OkD3YITR4veQ6r16zrrHH6Z0Ghr/hfYXfRD7TqHu1LyVIF2tx3fZyzAkdK9KHNaT6+z8fVSKraX4IMTn/P7+63VP1IOtwPF9uoypbKv5AR+zPiL308tz+G3drcTp07flwI7B/MP/cKDCcbqrOS3lU47dhamSFbO5rwTmLHu/dpggtHIVcirKsVv6S2v4DZ1HMszDuKyFe/g8+Nb6l05DtLo8Xd+Kg8y2NgAsc+/MTcFN/y1EFev+hh/NAgmGINSjQVHt+DNA2uxryirxc+dW1mKz49txSt7V+KiP97EvD3LGw0mGI1ciad2/obHtv+M39Jb3s1Hq1DhlcFX4d3hMxGla1kQ/ODf32PWmk/w5oE1EOPy2L744sKbEK0PbHK/5Zn7MHLZK7j/70W8e58YLPD5d++rcUVM4xdiShwVuGHTO7h+49tIryiAL66MHonLoy5odPtXp1bg+s0vYEfREfhqWszlSDTEe9yWUp6KR/c+hz9z1vlcDguApkbf6HGbQ7Djq1Pv8O9YKcTqByBK18vjtoMlf+Dn9CckmauiJoVsXQpZdeBf5jiOLVn/B4erBFIw6q9iz177WKmI4beCUIGi0vlwOE/hvMF+39viQkSjgKIdqqhaDZc7HwUlT/GKjNOVjfScS1BR5fsPRl25FatR5crCiZLP4HSXo8qZh/UZ05BR9rOk5RwqWYESRxYfaMdyjpc6crHo5N34u+BMICOFP3N+RJEjn/dd3lO8ledTf/3Ik1ia/om0XYOOf4ZSZxl/vN96iPdxnrvnObx57APJgqSMijw8u+8zPg6ASSnPxB9ZW3Hjlnl4Yu+HcLjFVboajs146cCPWJS6qXZdib0c/z34My5b8xL+tf0zlDmqfCqDvR8fH/0Lt236HEX2+pX5u7Z+ibHLX8UjOxbjZFm+6DLSy4txx6ZvcM+W75BTVXrW9qd3/YY56xbg+d3LsLcow6vndgsC/sg4iGmrP+HBBAsqGrM57yRe2LMcbx5ch12FjQcEDRlUGt6dpcDWdN/1GmVOGw9oFp/chd2F9bPKtMRFkd3wy6V34OZuI6Bo5mozK2tnYToOlYgPYpMtkVg06lZcENalyf3YgO2TZQVQ+9ByxSrEj/a8EtfEDWtyv4zKQoRqzD5XVP/Z5SoMCqwIDB8OAAA94UlEQVQ/YNik1EN1+kp0mbMCMbpQ+EopV+KuLjdBUyeTU4g6CAn62Np/yzF6acbudDImYVDgqNrHgaoQXBR2ee3jOF1nScqpaaWoYVSGYErMC3zsBMOyPcllZyrnvqaQVcmrExhoFKEYGb0UBlX1WLEATW8o5SZJylEoQqDTjqm+L49ATPif0Gsv4Y9VigQo5NK2lhLSmqh9rR0qq1jMb6tsG1FW8S1Kyj6Aw3kIOQXXQyl8CKD6C8pXJ61f8luWp/tI0ZvIq1yPcsdJ7M57HAqZHhGGi6VpnSioLofZkPsRCuwneQ5yliLQoo6UpBtUvi0Hq3J/qn3M7v+UuRA2dxWyqk6hk7E7hgSN9rmcP3JWY3fJmavCG/K3YE3uBl4hzKzKxqrc9bg4fKRPZZQ6KvDk3o9gdVYgENUD946VZeDVw2cCsN+zNmNK9IWiy2CBygv7luKXjB311tvcznoBxq+ZOzAjfoSoMlgF8cmdP2BFlud+0sdLz2TIWZtzBAnGEK/HAyw4thlvH1yHyma61NQ4Ys3FqIiWDfI8UJyFB7b+gOOl3gc7pY6mB+w2bNm4vstQXGKMwxZbLj48shEpZU0Pwq1hUonr6qJXqvFgr0tweWxvPtbEUwDEWjEMKjUfK8LGUvjCotbj7aGz8e7hNXj/yNp627qawtAvuCvW5R7FqHDxA3DrBhUPdr+cd7v66uT62vWTovrjgtAkLDm1BT0sMdAofB/PpZAr8ETPf+DeHW/gZEU2XzcytA9mx4/jY59MKj3CtE23zrRUlC4Cc+Kn46OUhfzxgMC++EfCdPyauYJf4EgyNR2weePyqGuxr+RvVLkr0T9wBH+caEhCSvlhDAwS/73TUIyepaHtg4zKPegdMBmJxqGYFjcfh62rMST4OsnKqZtCtrPlJuhVsRga8QlOlS5C14B/8ixNUmFzUlRW/Ykgy6OQy80IC3ofxdYPYVNeDbmfuxYT4k8UULQzLncxKipX1D7OK7q39r5KmQil0EmScqz2wyis2lb7+KS1+keKMaoSEajtJ0k5B0uWw+qo/qFlTlVsr70foumEaJ00A2Z/yPgczjrdtQrsubX34/Sd0cXYw+cy0ioy8VVqdbBXw+4+U2YvczJ6WcSlN6yXBnP/Z0irzOXpLz0ZE9YfAwKTfCrjmb2L8UfW7kb3MSm1uCx6AIaFdBNVxonSPNz79zdIaaLlgR3fgOA4jArrhrER3r1vOwrSeEWYDTBujlGpwaxOA3kf/f7BLR+s3yMgEp9ceG31wOj0g/xKfVNY5qW5vS+FSa1FnMH7SiQbGzE1vi+uSuiLlZmH8f7hDR67Tl0Y1gmvDZ3KgxYWGPgiyRKOr0bfiO9O7sB/9/0Ja50WqZ6BkXhz2HTeBcnu9r3rCeuSdFfyWPQKiMajO5bw1g8mSGPAA70vw+MyGe/SJ9XV738lTYRarsBnJ6oDmGCNCZdG9uFLTcufFNig6+d634K7d7yGYkcZ4g0RPIh4IHmm5N06x4aNxK7ivdhWtJt/17A5KaZET4DUzKoATIi4Bj9kfo7+AcP5ut6WQXyRUnUrxT/wQ/qj6BlQPdt0qLYLX6TGUshmlv2KWNM0/piNnegWeLfk5eh146DTjORZn2pm0g4w343cqua/qzoSluGpzWV5amOvp72hgKKdKa/4GQLOvroplwchInghCgulOaWpJV95XK9VRGJo5CfQKHxvmnUJDmzNP9M6UVewJgHT4l6DRuH7FZv9JTuw33omUKmri7Enbus0V3SKwxpsjMRbxz6CQ/Bc4RkZMhx3dL7BpwGLrPLxxtHF2FV8tNF9bkiYiNkJ43wKJliKzVU5Z8bneDK355W84iXGyswDeHzn96hwNT12hbXq3N5tDIaFehckp5YV4rOjm1Hawu5YrOI6LrqHqHSukXoLbuw6jC9ZFSW8q9Hv6Qc8BhenyoqQHBCOKL3F54r3+OjuGBeVjE15J/H+oQ3YlHemq9X2gjToFCpYfBwAXoOlhJ2ROBAXRybhlb0ragdts+5HDOuC5Es3pIbGRCTxDF8s4DxhzeUtTQz7tyNFq0EN9nx3dB3H55z44NifMKvOvF9i07g2JkIXxOeoeHDX20jQn0lsIPVs2uz5bun0Dxzf8xwfrO1PF4aOx4nyQ4jW+TeNdIyhHy4KvwcGpTQtOU2lkB0c8S5vrfAnuUyH8OBPJG31IKQtoE90O+3u1JDbXYjcon+i0rYFgo8Dp+2uYmSU/+JxGxtTsSv3ERRW1e8KI8aBkj9Q6vTc97rAdhIrsv6DEnvLB6964nDb8UMTgwSPle3naRCrXNWDjcValPYDTlU0foX6r/xNWJLxC+/LLNbitDW8K1NTPj/5B1bliDs37Orv3F1fNRtMMM/tW4JDJRleByuvHVjBMzk1F0zUeGLn9yixe3du4o1BeGPYNVgz8V6sm3gf3hk2A3ckjcQFYZ1gUXmuLPx330qfrxaz4OKGrkOx6KIbsXbiPXiszzgMCK4edMmwgeDfnWw8w5CYyuOIsEQsGHUdFl90E8ZHJ/M2K9a9q7nWEjFCtEY+aPvTC6/j7zEL3KS8kl9XvDEYX468BeOje9UGFP7A3sObu1yMf3YbXy+g8IcelgQ8lDyLt1D4k1llwuM97oNR6d/uM6z1Y0783ZIHRZ70DJiI1mBS+96lriXkcmOrlENIa5IJUre5Eo+sVissFgtKSkpgNosb7OdwpiItu/HBhIIgR2lJTwQGFSMi5FNo1OLSiB4v/hiHi15rdr8Q7XD0CZ0HrdL7QYVOtx0LTlyPMmfjM8kyLJXsgKBreH9ZZZ0Bh3W53W7k5uYiLCwMcnn9GHl59lL8nv1ts68nSB2KWbG3o4vJ+/dsb8kBzDv4eov2HRTYF3d0/j/ovcw9vyFvL57Z/2m9XPMyQYZ4ZxBSlYUQ6rTVsq5C9yVNx8TIpgee1sXSds7d+SU25rc840yIxoRPh92BcF3LZmNmXWNOlRfWTmSWX1V6+pY9PnO/xFE/gJgU3RsvD6zuHtDc+W4O+7pjk7Lt4RO0VU/UxsZCVLmc+HDEtRgZIX1XipqWC5bqNbPCilUT7obSy9fd0mOumfuCtYLc1f3MwFmp2dj7dWQDrkkYgHCdNANWPXG5XNh4fB8u6NLb63PtrQon6yImTXpVX/nyGW/P6Lj9d76lqINI+TouvOhpKJVta/I+p7MK61c/fc7fo/aKujy1I2UVS5rZQw6tZgTCg6+FRt1NdKrYumliPWEp9aKNVyDBPEtUMMEcKFnWbDBhUoYhyTwW3cwXNRpMNKXQnoeVOWdS0Xoihxzxhq5INvWFRuH9FcpSRxnePfZZk/uwCn6kNhyJxngkGuJQ5Cj2KqA4WpqGlw4ubHTiKtZlI1hrQYjaghANWwJgc9lR5bK3ePbsjXmHEa0Pwoz44fw9Yd1c2OBVluWH/ce6gLArkWy9AtX32brjZTktDihYt5gu5jB0QVizgQebNbkm8GCpY4vtFQhQ+553nr3uOGMQXybHVqekdLrdOGbNRenpPvtSq2m5YAsLLljwZpRoXoCGOplCMG/g5bzC708ahRJ3dfc9iUFLzldXH+af8EZbCSYIIaQ9ooCinWBXVksb6e7EqsVG/dUwG+5BcZERalWYj6lizwySrkuvjEG8eTZiTFdC5UMaPdY60VhKWI3chK7mUUg2X8xzkPvSz/THjC94bvSGWJrDJHMfdDf1Q1djT+hEdg1g54RlVGEBQg1WGY/WR6KTIR4JhjgeQMTrY6BViLsSU+aoxKcpv6N3QOfqYIEHDQHV91VmwOpAfGQsFArf0ieOjejFl7aABR6R+gC+tAbWWpAc4N9uKHWDi9bAKvyEEEJIa6FfnXbCZt8Bp7NhjnsFzxQRaP4Xz/DEmouBXElSxdYVohuBePO1CNONhEyCvN/7S36v1zrBujUlGofzICLeMFhUa0RDh6y7sadkK7+vkqnQ2diDt0Ikm/siTBMlSb/fjQVbkWfLx0VhF/JJpVjwEKePhlqC11/DqNJhXp9bG+8eUJHbKn2YCSGEEKnIBIEvbUlbez3tDQUU7XIwtgIm/XQEmO+BSildho26qWLrdmsyqqWZqOhM6wTLICXjOcaTzWPRxTQSGoV0g9Scbic2FfyJ0aGTeBDB5piQspJfY3jwYFwQMlTy5yWEEEIIaU8ooGgHBMGOssof+ekyGaYjwMRaJOIkL4elipWqW1NjMiv3YkDgND4uwqjybqIyb7KP3Jh4P/yNjTEghBBCCDnfUUDRDlRW/QWD7jIEmFiLRMsn3vJ2PECkcRJ6hfxbkm5NjYkzDOSLP1EXIEIIIaQNYz20/ZN1Wry29nraGQoo2gGddgz0uov9XgkP0VH3HUIIIYQQ4h3qs9EO+LPFgBBCCCGEEF9QCwUhhBBCCGk1lOWp46EWCkIIIYQQQohoFFAQQggh5Lzhdle0SjmCKw9C+ccQ3CWtUh4h5xJ1eSKEEELIOWW1HYAC5laplhQUPwm3UAmT/mrotKMhk/mnTJkiFO6qP4GyNyBor4BMPwcyVVe/lNXusDnk2to8cm3t9bQz1EJBCCGEkLNUOPOxt+gb5FTug8tt9+s7xCZT3ZgxGQfzn8OxotdQVLUdbsHpl7IspttQXvkDsguuw6msASgofgo2+16ePl1qMsMcQKgEKr+BUHAZ3IXXQ6haCUFwSV4WIecStVAQQggh7YRbcGND/lIoZEoEq6MQpIlCoCocSrlK8rL0yhAU2o5jS97bkMtUCNEkIUzXE+HangjT9oJBFSpZWQZ1ImLNs5BSugUnS9Yg1foRlHILQnQjEaIfgxDdBVApAiQpS63qBoNuCsorf4TLnYeSsg/4olImwaSfBqN+KpTKKEnKguYSQB4BuLOrH9s3QbBvAhQxgH42oJsGQPpJZAlpbRRQEEIIIT46YN2Lk+XHoFPooVPooFMY+H09f2yAXqmHRq6FXOZbxwD2950MffFJyly4Tl/Bl0EOiyoUwZqo00FGJL9li0UdBoUPqceHhd6DjPJtqHDlI7dqH1/2nd5mUIbxwCJcVx1gBGu7QiETH9gkWm5DWua+2p4nTncJsst/4YsMClg0/RDKggv9GBhUnX2axDTQfB/KK3+q18/F4TyMQusLKLTOg05zIYz6aTDoJkEuN4ouR8beD/21EMrm19/gSodQ+jLvDuVWXwHBeSWAMJw3WGuQH1qEfNLWXk87QwEFIeS8VumyQafQ+L0cu9uJjIp8JBoj/H48m/IPoE9AJ4RoLH4pg3UNyajMxwFrCortZZgeN1bS53cJbhTZS5BTUYjM4kwU2nYhz16EESH9MCCwe4ufp9RRhj0lB+B0O+EQHHCcvq1+7KxzW7Otep1SrsQtneZAp9C2uKwuxiQsy/4Rx8oONbqPDDJoFTroTwcbLPAYFDgcI0O9m7g0Wt8VkyJvw8+Zb/PHAtwoduTw5Th21ttXLlMiUBWGUE0sJkXdBrMq2KuyNAoTLgx/CMszHzlrW7kzFyllq/jCKGRq3orRzTIJSZbJ8JZKYUakcQoyseOsbQJcKLZt58vRov9Cp4xBiH40OgX8E2pFoNdlqVVJMOgmo7zyZw9bBVTa/uJLfvFcGHQTYTZcD61mCETRTwfK3mLfAh6KqgSqvoVQuhvuooDqLlKai2j+KdLutJuAoqioCPfccw9++oldUQCmTJmCN998EwEBAU3+6D3zzDP44IMP+N8PHToUb7/9Nnr27Mm3FxYW4qmnnsLy5cuRlpaGkJAQXHnllXjuuedgsVh8KpsQ9vnz5QqaN8qdZTAoxV9Fa6m9JQfQ29LD7+Vsyt8NpVyBwUG9/Hp+VufuxE8Z6/H6gHv8Vk6ZsxI/Z2zC4rR1uKXzJL8EFDaXA1sKDmJ17i5szj+IQLURC4c/Ktnz210OHClNw35rCg6UnMQB60kUO8r4tkeSZ3v9fC7BhQJbCXJthcitKkBOVSHybIX8lq3LtxXBKbggE2SIdQQjTVWAeGMkbu883atyjEoDcqry8F36j1793QPd7vQqmGDUcjXu6Hw/Xj8yD2mVJz3uI7CKqquCL0ySqQeGBo+EGAODxiGj8gh2FK1ocj82DsHqLMSEyJu9DiZqxBlHoKt5Io5af29yP5dgh0EVhkST+AAzWHcBrK5uKHc0HpjVHFeIbpSoYKJ+K4WngOIMQbBBJjNCpewkuhyZPAiC7nKgcknTO7oLWDsJDz0JaW/aTUBx7bXXIj09HcuWLeOPb731VsyZMwc//9z4l8Err7yC+fPn47PPPkO3bt3w/PPP49JLL8Xhw4dhMpmQmZnJl1dffRU9evRAamoqbr/9dr5u8eLFPpXdUbCBY60xUzer3DnchVArxP3geSOzYjui9AP9Xs6a3K9xQejVUMv9e/V7Ze6vkMnkuDT8Mr+enx8zf8efOX/hzQEv+q0cu9uBT0/8gF+y1uHfPW/zWzkpZZl48+hS7C05jqFB/gmQ8mwlWJK2jgcTFS4bXzcoKEmy52dX1LcVHsHqnF3YkL+vtgxmUtRQn7rWFNqs2G89if0lKbwV4mhpOq/gNxSvD8dF4QO8fv51eTvw9tFvYGvhQF855PhX19k8yPQGC+inxlyGALUZH51YyCv0zZkaPRmDgvpBDNbqcFeXhzH/yHPIsWU1uW8nQ1fc1ul+HoiINTHyVmRXpSCz8lij+xiUAZgd/ySidF3gi2GhdyOjYhsqnHket7MxFmyf7pYrfbqQwr7LkgLnYkfuDY3uE22agW5BD0LpQ1ckRq3qDoPuMpRX/upxu04zEsEBz/D9fMUyPAmNBRSKRMgMt0IWNB4yRbuplvlEJlQvbUlbez3tTbv45B48eJBX5jdv3sxbGZgPP/wQw4cP58FBUlKSxwrQ66+/jscffxxTp07l6xYsWIDw8HB89dVXuO2229CrVy8sWXLmH3jnzp3xwgsv4LrrroPT6YRSqRRVdmsQKn8BtJP4l68/Wcs/h1Y9FBq1f69K55T/jlL7IXQNut+v5aSWbcCm3NcwI/E7v7YeHLJuwdq8Rehs6o84ve8/Ro05YN2DH0u/xaiwS/w6CHTByUVYnrMaFhVL6+gfmZW5ePngpzhRns4fGxR6ycsoc1Ti85PL8GPGerjh5uviDdK2GKSW5+CbU6uxMntHvUp4oiHC5y5ITrcLu4qO8JaI9Xn7eOtHQyyQmBA52OvnrnTa8MGJn7Ct8BCyqwpb9DfXJ06CQsR30EVhg9HFGIuXD36C1IqmK97MxKgL0cUUB7HGho2EWWnCG0c/5F2eGhOmCcHESO+6HzVkUplxd9dH8OrhZ1HsaPx9HBs2ERofLzao5GpMj52LD47fjwqX1eM+nQ39EKT2fYAx6/o0Mvxh/JHxkMftRmU4wnW9JfleDdQNRpj+UuRWnN36IoMKFk1vn4OJGgGm+xsNKBSKcKiUvgViNWSqHhBUgwDHNg8b5YCyq99/zwnxp3bx6d20aRPvglRToWeGDRvG123cuNHj36SkpCA7Oxvjxo2rXafRaDB69OhG/4YpKSmB2WzmwYTYsv1NEKogWJ8FbGe+bP2R7o419RaXvglr2cd11kmf6s7lrsTRwleRXfYLBKG6kucW7JIfU5XLivU5r6DMmYNi+8naZnOn+8yVXSnk2zLwffrr/H5mRfWVQ7fgQoXT8w++WLuK/8a6vJX8fqE9/3Q5bhTYqu9LweF28EoYCyZqHjOsn/nJ8jTJylmTuw337nylNphgjEodKpyV2F54wOfPAntflmdvxY1b5+H7jHW1wQQTpQvmLRZrc3fB6igXXcbe4hQ8vucT3LDlFSzL+vusK/osmPgzewd+ytiElLLTGV9aOJ5gZ9ExfJ++HtM3PotHdn/In99TMMEYlVosOrUGn5xYhq0FTXcbqUun1GB2/KXobk5o8d98lbocLx74Aj9nbIC3YvUR+G+/BzE+4oJm9/01cx3u3v4iPjqxlL8fYrBWh8d73NdkoJpry8ed2x/C/458gCJ7McQKUofgnq5zYVQ2nr3no5Q38PLhf+NURQp8EaAOxbTYB/nAbE/2lKzBm0fv4Bc5fBVrGIZuZs8toVZHOn5MvQV7ixZBCl2DHuLBQ0MCHDiQ/wQO5D8tyW8Eu1im1070uK2sYjGy8+dINhEeHx9Rz+kWN+dxCGWvQXC1LJAnpC1qFy0ULDAICzs7+wFbx7Y19jcMa5Goiz1mXZs8KSgo4OMnWOuFL2UzNpuNLzWs1urKpNvt5osvhIpfIbitQOnbkKku5v0uhZK7IOgfgyBE+Pz8NUrKvobTmYNS5w8IMD3Kv8hzCq5HgOk+GHTjIZWU4k9Q6czh9wsr/oZWGY09efchyjAFsZbm+2ez42U/LM0d98ac11HpLOLXuE6VbQarl6zLeRGhuu4YHvovSY7F5qrEotSX+C0rJ6PiKFJK92FZ9scwKQNwbfyTkpRzyLoPn6e8D4sQzPuZ51flYn3eaqzMqb7S9kT3l3zOJlPhrMBrR9/DQetRPpiUsbvsWJCyCJvyt8LmduDtAS9D68OA5iqXnVcSV+Zs5o9rymFePfQZTpXn8Mr/ewOfQIQuxKvzXeNYaTreOfY9DlhTzyqD+d/hM90bX+hzCwYGJnkVqGwuOMgr8PtLqoPUxq7Pbis4zBfmnm5XIV7fsowu2ZWFWJ61HScKTqJUUYHmLgCX2iuw5NQ6fv/q2FEYFNitxccTpDJjbvJsTIochneOfo+T5U0HPsdLM/lS4bThssjh8JZKpsSdnaejt7kL3jm2iA8or4t9tqu7RsiQWp7Fz/n/JVzJ33cxuho64anuD+Hlw2+gsJGAgQWCe4r3QyfX+vRdGqaOwD87PYT/HX0RNneVx33Sy1Ohk+nPKsfbz3iCvjcuCpuNVTkLa9dp5HrexcvurkS5owQq+HY8NYYE38mzPrEB2YxaboRFnYC8qn1wwwWlD+XUPW6tIhpx5htxsuQjvk0u0yLOPAsnSz7ljxUyA99XiqDCYmRjKf7g92XQIiRwPvKLH4YglEEmM0MQVJK8d4JqLARZJOBmv3cqyIK+hFDyMNzOUxAEHdyCEjKJfr8bkqpeIBnK8tThnNOA4umnn+aDppvy999/81tPzagtGfTacHtjf8Mq/JdddhkfS8EGajf1HC0p+8UXX/R4bHl5eaiq8vzj0hL8C7R0DeCqrvTIyr+FYFsDuO0Q8ApKXLfzfeRy3yqTguBAXtEfcLurB7CfsL0Pu51NbgQU5r+NQIsRaglm/LS7inA8/y+4UX08B6oWo8qZzX/USwp+hCMgAUZN12a/KFnLUlPHnVu5H+mFx6FGIn98uHIz9rr/hFtwwIpdCKjagOBmymkOK5/lh7dVCDAjhq9Lq0xFatZ7/H4l8rATGxCt862cnKos/Jz5HQLcITDbA3kF2WlzY0Xxb7XV2S0pG9HZ2PKKZENljjIsyfgFxbZiRKJ+rvk9p/bCAB1fNp3Ygp6WZFFl5FYVYkn6Sj4ANxZnj51xFdsRjeoBlztT92Hg6bEOLTnfTIWzCn/mbMffhYd4xSoeQc2+prSsDMQ6WjbIk2U5+u7UWuTaqiumCS14/hq2wnLkqqorZM1h1zCvDxqNTCEZu+2n8HfRIZ4xqiUCKlTIzW1ZOXVFwISnYq7DlsIDWJWznQePDWnlKrgFAXbBiS6uUFHl1EhCDJ6KuRlL01ciq6pOC5sgQyd5JOLVUThVmYOBymSfymFUUOCesFuwJP0n5NvPXBGO18UgSheJ/dZDiNfFojhffAtFDQ30mB1wC37N/B4uVJ+zToZu6G7qhR3FW3kLhqtEQC7qH1NLP+N1dRUuQDaykF5RHbSyrpYDA8djd/FqOAQbDBXhyK3w7b2r0VtxN3YUf8LvR+j6opdxJlLt61BsP4WAqiHItYkrp+FxG9xXQV6+Cw53KSyawTA7rkOcvBeKqrbAZL/W58/CGaGwV86Bzb6Dz5xdUTYUKuFzlFf+ArfyFuTlscHS0hAqb4BQ9QPP5CQvCoPgfh3uih9Q4poIWX4F5HLx9YOmlJaW+uV5CWkTAcVdd92FmTNnNrlPQkIC9uzZg5yc6ivYDSvnDVsgakREVPeLZq0IkZGRtevZF1DDv2H/0CZMmACj0Yjvv/8eKpWq3vN4Wzbz6KOP4v77768XsMTGxiI0NJR3qRJLsG+HgLr9Sp9lv1qcW9EFMkcEbz3xNaCwln0Bg7P6Kme1/VCeLkel7IaI4EQolb7nzN6XNx8y096ahl9UovrHkD02qroiIiwOelVYsz9CLLhj762n465yleDP1DdhN56pPNQdCsrSHEaGRSNA49vxbCr4GfvYuWmkR0W8vgeiwmMQphVfTlZlOr7Ifh+VmnJ+1ZZVlAu0ORDqjCbrbRmA2Ig4hLXwCnhD2ZW5ePPwx8gTCoFGxouyDDhDgweiU1gnhBm8K4dVFv7M3YIP0hdXV4wbSVvPAqUuplj0DeiG7iHdastp7ny7Tndv+jTlN1idFc1+y7EuQmPCBiBOH4p+AWfKaU4YwhAVFom1ebuxJnc3jpSe6a7lSYwuBDPiL4JBqUUnQxTC9NUtLi1Rc8z9Qntjmuti/Jy5Cd+nrUfR6UxLdfUL6Iy7ul6JclcVQtQWhOnEZ8G5MiICY7oMxkcnfsXKnPp9v4cH98STPa9Hgc0KuUyGYB/Hh7D386HoBHx+8hf8nLmWr2Of8R66RNw2YBZP6VrltsOi8r3vPCvrn+G3YP6Rd3Gk9DhflxTUDVM7XY4rhctQ5bJBr9T5XE5NWcoAOT468SZvbesb3B+DoodiEIbC4bbzcRANNfcZb8zkkBvx8YlHUGDPQHj4WMSHdEJ8VCfe5VIuYXINdkyF2i04UvIL4sNmIMISgYjw6T5ntvN43IYrsb/gCXQOux9BelYy68Z8piuzVCwBs5CZ9wWiw16Hmv/msMX7sUjNEdxTIOS/DVnwDMgU1eW43Q9Cnpfn9fn2hlbrXdYyQtpVQMHStLKlOWwANLtqsXXrVgwZUp0HesuWLXzdiBEjPP5NYmIiDwZWrFiB/v3783V2ux1r167Fyy+/XK+iP378eD6+gqWFbfiPTkzZDHs+tjTEvix8+cJwVy2ETOah6VLRCbKAzyAvcPpchiDYYS1/02M5GlU/RIR+DYXc95S5xVU7kVPxs8cuHCx1YN+wN6CQt2xgLvsRauy4t+S8gUqWjs9DOV1M4zEqYi7P1e6LlLK9WJnzWaNpIkaGTsPYsOt8+rHNt+XirROvoMJdduZYZOwirlAbUMyJvxXDg0eJLuNYWQpeOfQmSp11yvDgoeS7kGz2vqWFtRqwri1r805XTpsog1VS7+o2C4mGaK/Od3p5HrKqChBrDMNhaxqviDal3GXD1bGjEa33ftbfSEMwZhrGYmbCWD7HBBsszZYTZWcPNM6yFeGC0F4IUIurENccs0VpxHWJl2J63Bj8kb2Nd7dirSU1DpelI87IZk6WpgIZpLXg4R7X4rLo4Xjr6BIcK8vg609WZkOpUCJc3/KWmeawQcq3dLkavQO74n9HvkS5oxKVbjs/btYFSQfpKkVmtQmP9bgXbx79ENuKdkOlUFZ/piCHUeJMO30DB2F2ws34PPV9BGlCaj+3bKK7xjT1GW+MXm7EjPhH8OGJhxCj71L7t+yYpDYs9J/IrPgbsaZhklaCGx53lPkK5FWtRJBhmM/dOJui0/ZFSMBT0Gr8nBZbHgwh6D3IVGcudIo9314V66fnFYtVLzxVZc6ltvZ62pu29QlrRPfu3XkLwi233MKzLbGF3Z88eXK9LEvJycm8haHmH+e9996LefPm8XX79u3DDTfcAL1ez9PA1rRMsEHb5eXl+Pjjj3lwwVo02OJyubwquzUIriygarnnja40CGVvQXD7PqirtPxbOF3VlYaGbI4DKLa+Cbfbt+ZTNvj6cEHj6UcLK7filHUh75Lki5TStTheurLx7WWrcdS6zKd+uCWOfCxO+w+fXKoxmwt+wbGyHT6UUYw3j73Eb5uyJP1LpFecElXGrqK9eP7Af6uDiWa8dewjlDi8G2TOBjzPO/gh1uVtb9H+rKXhjSNf8jkLvBFnCMfNnS/Ha/3vwY8jX8QbA+7FbZ2vwMiQPghSnz1Ill01/iK1uv+0L6L1Ibgu4RJ8PORBfDb0YVyfMA5xdVqJWDe+5dktO/aWUCtUuDx6OBYMewRP97oeyaZYvp6lj60ZzyGlnpZEvDXwftzTdRpMSj2yKwtgc7Us7au3hgX3wf/6P4JkcwJsDcZVSImlbL232+24OGwkVHLxMzy3xLDgkZgWcx0fsO1PYdo4XBl9DyJ1nf1ajlphwISY/0KvlC6g9IRlPuodOt/niz4tYTHditYgUw9qlXIIaU0ywR/pgfyATULXcHK5t956q97kciyI+PTTT3ngUHdiu/fff7/exHYsXSyzZs0aXHTRRY1miWLdrVpadnNYsMIyQ9VkkRLDXTofKH+v8e2CHLnFPREW0RsKywOQyRvPMNLU2Im07AvgdDWdwUchD0Gg+RGYDLNEzVORWfoD9uc3P/GWSd0DPUNegEmT3GQzOevK1rCrV5WrGItP/gNVLjYQu2ldzRMwIux+qOTedXNgM+x+lvI40iuru2o1hWVhuTz6nxgQ6F2K1wpnOV47+gIyKusHCqw7SEhVBPK12fW6PBmVZtzf7QlEaFueKnJd3iZ8cGKBVxl0upu64bHu9/JZhb2dP6HAVowcWwHyqor4LRtPUT3JWfWkZu468wXckHAFro69pNnz3RLsOyGnqohP0FY9x8JJnuGJlfbB4IeQYKh/1dBXrLwT5Vl8rgjWcqGUKXiw4W1LVUuOmZW1u/gEvjm1Cl2NMbips+fMNVIosZfhk5RfcUX0SHQy+p6StDF2pwMrjvyFiclj/HqFlb132VW5iNQ13o1VKjUzcTfFl894e0bH7b/zLUUdRMrXMWboE1Aq21Y3LKezCmu2PH/O36P2ql1keWKCgoKwcOGZDBaeNIyN2I82G/jNFk/GjBnToivTLSm7NVLFouKbZvZSAaqBkOkmiQommNKK75oNJuQyM/S68acHZXv/5ed0l+No0fxm99MpYxGgHQgHy2glwsbc15oNJhQyNUK0ydAqAlFiT0OI1ruBzCx7U3PBhEqmQZAmCsHqSBTZs3j6WL2yZV9WNlcV3jn+6lnBBMMmzNMrjDxw0Cn1fFKtmuVw6X6EayJbVHFl/wY6GeLxXK9HeWWfVXhYNyGWItZ5+pY9PrOe3a9ed7L8FLqYvJtBViVX8oxNNVmbGptFOaeqgAcZxfZSXib7O1+x9yNCF8SXi8OrJzcsd1bhsDUVJT6kjG2qvM7GKL7c1GkiH2fBMluxFK3+KKtfYGe+sAq/P1nURtyXNMMv6arrYt22agbj+xN771ojmGC8DcAJ6ZAoy1OHQ99s7QWbeEdopLuLPBQy/SzINNMhl7khU4sbjMtaJ4qt/2tkqxJ67cUw6qdBr7uEp/AT62Txh7C7zp5tVQYFArQDEKIfg1DdGOhViaLHHKSUrsaJ0lVnrTcqIxCm64kwbS+E63oiSNMFCpm4rg67ilZhW+Hv/D57jiB1JA8aqoOHqOrHmiiYlEGij6PAnscnwLpMMZUHCnqFoTZoYP2ipbiKyV5bjN5/V5m9pZApEKYN4ktrYIOkB0g4g3VT73OSubpbkr+xCn9r8OfkkIQQQtoPCijaAZ4qtuKLszeo+kGmnwNox0MmU5/OXy0+jV5ZxRI4XfWvhGtU/WE0TINRNwUKhe99fysd6Ui1VucRZ1RyC0J0o3gQwQZiqxQW38twFmFD7nze+hCs6YZwXS+EaXsiTNcLBqU0/ZfZVXSWYWlOwjM8eDCrQvwyYDBKF8uXdpFXnBBCCCHnJQoo2gPHdsB54PQDFaCdyAMJmbqvZEUIghNFp1snlIoYGPVX89YItaoLpHSk8FXolQnVrRD60bBo+ooag9GUClcBxkW9xOeVUHhIySjVVfT+gRf75bkJIYSQDo31lmxrI3jb2utpZyigaAd468Tpbk3QsdzV3qe3bE5F1UroNCNgNPwXWvUwnllDam7BiW5BD0GnOjsNqJSCNdIGQYQQQgghpHEUULRxbE4ImWY8YPkP79bkL3rteBh0E+BPLO2fv4MJQgghhBDSuiigaON4EKGb1Arl0OBKQgghhPifjM2q3sZmLWhrr6e9OX8SXBNCCCGEEEIkRwEFIYQQQgghRDTq8kQIIYQQQloPTWzX4VALBSGEEEIIIUQ0CigIIYQQQggholGXJ0IIIYQQ0npYQiV3G3vDKcmTT6iFghBCCCGEECIaBRSEEEIIIYQQ0ajLEyGEEEIIaTU0sV3HQy0UhBBCCCGEENEooCCEEEIIIYSIRl2eCCGEEEJI62ZUYpPbtSVt7OW0NxRQtBLh9D8cq9XqtzLcbjdKS0uh1Wohl58/jU903HS+Ozr6jNNn/HxAn3P/fc5r6h41dRFCpEYBRSthFX0mNja2tYokhBBCCKlXF7FYLPSOEMlRQNFKoqKikJaWBpPJBJlM5rcrECxgYeWYzWacL+i46Xx3dPQZp8/4+YA+5/77nLOWCRZMsLpIm8BaStpaa0lbez3tDAUUrYQ1Y8bExLRKWewL6XwKKGrQcZ9fzsfzfT4eM0PHfX6h8+0f1DJB/On86WhPCCGEEEIIkRy1UBBCCCGEkNbjZrPbtcHXRESjFooORKPR4KmnnuK35xM6bjrfHR19xukzfj6gz/n59TknHYtMoBxihBBCCCGkFQbes7EcY3s/AqWibQVQTpcNq/a+jJKSkvNyrJqvqIWCEEIIIYS0GpkgtMnFW++88w4SExP5/F8DBw7EX3/91eT+a9eu5fux/Tt16oT33nvvrH2WLFmCHj168BY7dvv999/X2/7000/zbKF1l4iICJxrFFAQQgghhBDihUWLFuHee+/F448/jp07d2LkyJGYOHEiTp065XH/lJQUTJo0ie/H9n/sscdwzz338ACixqZNmzBjxgzMmTMHu3fv5rfTp0/Hli1b6j1Xz549kZWVVbvs3bv3nJ876vJECCGEEEJarcvTxb0ebpNdnv7c90qLuzwNHToUAwYMwLvvvlu7rnv37rjyyivx4osvnrX/I488gp9++gkHDx6sXXf77bfzwIEFEgwLJth79Pvvv9fuM2HCBAQGBuLrr7+ubaH44YcfsGvXLrQl1ELRRhUVFfHIlP3DYwu7X1xc3OTfsOEw7IPGJq7R6XQYM2YM9u/fX7u9sLAQd999N5KSkqDX6xEXF8ejY/aPx9ey2/JxMx988AFfz74kWPOgp+dMSEg4qxlx7ty56OjH3RHPt81m45/1kJAQGAwGTJkyBenp6efsfJ+LZnEx5UrtfO0OIPVxs8/31VdfXfuZff311yUptyMcd0c83x9++CG/is0qkWy55JJLsHXrVp/LbVNqJrZra8vpoKfuwn5PGrLb7di+fTvGjRtXb/24ceOwceNGj4fMgoaG+48fPx7btm2Dw+Focp+Gz3n06FH+G8jO/8yZM3HixAmcaxRQtFHXXnstjz6XLVvGF3afVbaa8sorr2D+/Pl466238Pfff/Mv1UsvvZTPjslkZmby5dVXX+XNY5999hl/7ptuusnnstvycTMVFRU8ymdNjE159tln6zUjPvHEE+jox90RzzdrhmYVzW+++Qbr169HWVkZJk+eDJfL1ern+1w1i3tbbkc57nPdHcAfx83+HbOK50svvdRoZbkjnu+WHHdHPN9r1qzBrFmzsHr1av6ZZxf/WCUzIyNDdLmk5WJjY2svcrHFU2tDfn4+/z0JDw+vtz48PBzZ2dken5et97S/0+nkz9fUPnWfk7WMfP755/jjjz948Mm2jRgxAgUFBef2NLMsT6RtOXDgAAuThc2bN9eu27RpE1936NAhj3/jdruFiIgI4aWXXqpdV1VVJVgsFuG9995rtKxvv/1WUKvVgsPhEF12ezru1atX8+crKio6a1t8fLzw2muvCa3tXB53RzzfxcXFgkqlEr755pvafTIyMgS5XC4sW7as1c/3kCFDhNtvv73euuTkZGHu3Lke93/44Yf59rpuu+02YdiwYbWPp0+fLkyYMKHePuPHjxdmzpwputyOctxPPfWU0LdvX+Fc8cdx19XY57Yjnu+WHHdHP9+M0+kUTCaTsGDBAtHlthUlJSX8O/7ing8J4/s80aYW9prYa0tLS+Ovs2ZhvzENsd8Utu/GjRvrrX/++eeFpKQkj8fetWtXYd68efXWrV+/nj9PVlYWf8x+u7766qt6+yxcuFDQaDSNvqdlZWVCeHi48N///lc4l6iFog1iVyRYVMyi0BrDhg3j6xprSmNXPViUWrepjHUJGD16dKN/w9T0FVQqlaLLbo/H3ZiXX34ZwcHB6NevH1544QXerOlv5/K4O+L5Zs3QrPm47j6sabhXr15nPa+/z/e5ahYXU66UztfuAP46bn+U2xGO+3w536ylhm0LCgoSXW6b04a7PLE6Ud3F09xerDutQqE4qzUiNzf3rBaGGqyVzdP+rP7Ffoea2qex52RYt97evXvzfwfnEgUUbRD7MIWFhZ21nq1rqimN8ab5jTWPPffcc7jtttt8Kru9HXdj/vWvf/EuMqyZ+a677uL9de+8807427k87o54vtmtWq3mfY8b26e1zve5ahYXU66UztfuAP46bn+U2xGO+3w532xsV3R0NB9LIbZcIi32G8PGraxYsaLe+hUrVvDPnyfDhw8/a//ly5dj0KBBUKlUTe7T2HMybIwHG+gdGRmJc4kCilbkafBYw4VdpWDYfU+DUT2tr6vh9sb+hg00uuyyy/igRja7dlPP0dKy28NxN+W+++7jV7r79OmDm2++mQ+U+/jjj0X/MLWX4z5fznfDfaQ+31K+Xk/7N1zfkueU4vPR3o6b9SNnA3nZFTtWAfv111/5+gULFqA9H7c/yu0Ix93RzzcbM8ay+yxdupQPvvalXCKt+++/Hx999BE++eQTXqFnvylsDAvL3MQ8+uij+Mc//lG7P1ufmprK/47tz/6O/eY8+OCD9S50sQCCtZ4fOnSI365cuZKPl6nB9mcD+1mLPRs/Nm3aNF6nu/7668/pKa7u50JaBbsKyppjm8KyWezZswc5OTlnbcvLy2uyKY1hVyfqRqmemsrY4FU2UNdoNPKBqzWRcc3zeFt2ezlub7HuN8yxY8dqmyM72nF3xPPN9mFdAlgGqbqtFGyfpq7y+Hq+PTlXzeJiypXS+dodwF/H7Y9yO8Jxd/TzzRKozJs3j1co2YUPX8ptc+p0MWozvHw9LEEEuwBVk9yjV69e+O233xAfH8+3s3V1B8mzLnlsOws83n77bd5N74033uABcQ32G8VazlmCkCeffBKdO3fmA/Drdg1mGQvZoH3WUhUaGsp/uzZv3lxb7rlCLRStiH0JJCcnN7mwKxCsyYuNbaibJo5FoWxdYxUi9kFlX1R1m8pYpYpFsXX/hkWxrJ8la65j+ZAbXvEQU3Z7OG4xWOYMRmwzYns47o54vlkzNAuS6+7Dvtj37dvX5DH5er7bUrO4mHKldL52B/DXcfuj3I5w3B35fP/nP//hXZJZ9ju2zddyiX+wbrInT57knzs2rmXUqFG121gmTZaxqy7WKr5jxw6+P2thqGnNqIu1OLDWCfbbxj7LU6dOrbedBRwsYyfbzjJ/1aTSPufO6ZBw0iiWyaRPnz486w1bevfuLUyePLnePiyTwNKlS2sfs8w3LNsNW7d3715h1qxZQmRkpGC1Wvl2djt06FD+XMeOHeNZBWoWlkXCm7Lb03Ez7Bh37twpfPjhhzyjwrp16/jjgoICvp1lapg/fz5fd+LECWHRokVCVFSUMGXKlA593C0tu70dN8t+EhMTI6xcuVLYsWOHMHbsWJ4JpuZz3prnm2WbYpk7Pv74Y57Z6t577xUMBoNw8uRJvp1lZZkzZ07t/uz16PV64b777uP7s79jf7948eLafTZs2CAoFAr+Xhw8eJDfKpXKehmzmivX387VcT/wwAPCmjVr+POx9ezzxDLktOfjttls/LPKFvZZf/DBB/n9o0ePtrjcjnrcHfF8v/zyyzz7IltX93e6tLS0xeW2+SxP3R8Qxvd6rE0t7DWx18ZeI/EeBRRtFKvwzZ49m38xsoXdb5jyk33wP/3003opNVkKPZZWk6UYGzVqFK9wNUwd6mlJSUnxquz2dNwM2+7puGueZ/v27TzYYhVVrVbLK7Hsb8rLyzv0cbe07PZ23JWVlcJdd90lBAUFCTqdjlcyTp06Vbu9tc/322+/zdNeskrCgAEDhLVr19Zuu/7664XRo0fX259VkPr378/3T0hIEN59992znvO7777jr5tVKli6yCVLlnhVbms4F8c9Y8YMXvlk21mQOHXqVGH//v1Cez5u9v3s6d9xw+fpaOe7JcfdEc83ey5Px82+o1pabpsPKJIeEMb3eKxNLew1UUAhnoz971y3khBCCCGEkI6NdbtmqcEvTnoASsXZ6VjPJafLhj8P/7c2nT7xDo2hIIQQQgghhIhGWZ4IIYQQQkirkbEUt22sg0xbez3tDbVQEEIIIYQQQkSjgIIQQgghhBAiGnV5IoQQQgghracDTGxH6qMWCkIIIYQQQohoFFAQQgghhBBCRKMuT4QQQgghpPW4BZZWqe29JiIatVAQQkgb9fHHH2PcuHE+PUdubi5CQ0ORkZEh2esihBBC6qKAghBC2iCbzYZ///vfePLJJ316nrCwMMyZMwdPPfWUZK+NEEIIqYsCCkIIaYOWLFkCo9GIkSNH+vxcN954I7788ksUFRVJ8toIIUSSLE9tbSGiUUBBCCF+lJeXh4iICMybN6923ZYtW6BWq7F8+fJG/+6bb77BlClT6q274YYbcOWVV/LnCg8PR0BAAJ555hk4nU489NBDCAoKQkxMDD755JN6f9e7d2/+Gr7//ns/HCEhhJDzHQUUhBDiR2z8AqvgP/3009i2bRvKyspw3XXX4c4772xyfMRff/2FQYMGnbV+1apVyMzMxLp16zB//nz+vJMnT0ZgYCAPVG6//Xa+pKWl1fu7IUOG8OckhBBCpEYBBSGE+NmkSZNwyy23YPbs2byyr9Vq8dJLLzW6f3FxMV+ioqLO2sZaId544w0kJSXh//7v//htRUUFHnvsMXTt2hWPPvoob/3YsGFDvb+Ljo7GyZMn/XJ8hBDinbbY3Ym6PPmCAgpCCGkFr776Ku+a9O233/LxDCyoaExlZSW/9bRPz549IZef+epmXZ9Yl6YaCoUCwcHBPLtTXTqdjgcehBBCiNQooCCEkFZw4sQJ3lXJ7XYjNTW1yX1ZQCCTyTwOolapVPUes/08rWPl1FVYWMi7XxFCCCFSo4CCEEL8zG638+5OM2bMwPPPP4+bbroJOTk5je7Puiz16NEDBw4ckOw17Nu3D/3795fs+QghRLRz3b2JsjxJjgIKQgjxs8cffxwlJSV87MPDDz+M7t2786CiKePHj8f69eslKZ91ddq+fbvPk+QRQgghnlBAQQghfrRmzRq8/vrr+OKLL2A2m/n4B3afBQvvvvtuo3/HBnH/9ttvPBDx1Y8//oi4uDhJ5rQghBBCGpIJAs3kQQghbdH06dN5NyWWuckXLGXsvffei2uvvVay10YIId6yWq2wWCy4JP4uKOWaNvUGOt02rEx9i1/EYRd/iHeohYIQQtqo//znP3y2bF+wbE/Tpk3DrFmzJHtdhBBCSF3UQkEIIYQQQvyOWig6LuW5fgGEEEIIIeQ8Irirl7akrb2edoa6PBFCCCGEEEJEo4CCEEIIIYQQIhp1eSKEEEIIIa2nZmK5tqStvZ52hlooCCGEEEIIIaJRQEEIIYQQQggRjbo8EUIIIYSQ1uNm3YuENviaiFjUQkEIIYQQQggRjQIKQgghhBBCiGjU5YkQQgghhLQeyvLU4VALBSGEEEIIIUQ0CigIIYQQQggholGXJ0IIIYQQ0np4kqc2llWpjb2c9oZaKAghhBBCCCGiUUBBCCGEEEIIEY26PBFCCCGEkNZDWZ46HGqhIIQQQgghhIhGAQUhhBBCCCFENOryRAg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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "multipoles = [\n", + " (0.0, 0.0), # Dipole\n", + " (1.0, 0.0), # Quadrupole\n", + " (0.0, 0.0), # Sextupole\n", + "]\n", + "\n", + "# Create a grid of points\n", + "x = np.linspace(-0.02, 0.02, 20)\n", + "y = np.linspace(-0.02, 0.02, 20)\n", + "X, Y = np.meshgrid(x, y)\n", + "\n", + "# Calculate fields at each grid point\n", + "B_x, B_y = synthesize_field(X, Y, multipoles)\n", + "\n", + "# Normalize for uniform arrow lengths\n", + "B_mag = np.sqrt(B_x**2 + B_y**2)\n", + "B_x_norm = np.divide(B_x, B_mag, out=np.zeros_like(B_x), where=B_mag != 0)\n", + "B_y_norm = np.divide(B_y, B_mag, out=np.zeros_like(B_y), where=B_mag != 0)\n", + "\n", + "fig, ax = plt.subplots(figsize=(8, 8))\n", + "ax.quiver(X, Y, B_x_norm, B_y_norm, B_mag,\n", + " cmap='viridis', width=0.005, headwidth=4, headlength=5)\n", + "ax.set_xlabel('x (m)')\n", + "ax.set_ylabel('y (m)')\n", + "ax.set_title('Quadrupole Field')\n", + "ax.set_aspect('equal')\n", + "ax.grid(True, alpha=0.3)\n", + "plt.colorbar(ax.collections[0], ax=ax, label='|B| (T)')\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Field Decomposition\n", + "\n", + "Generate synthetic azimuthal field measurements from known multipoles, then recover the coefficients with `decompose_field`." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Ground truth multipoles:\n", + " n=0: B_0 = 1.000 T/m^0, S_0 = 0.500 T/m^0\n", + " n=1: B_1 = 10.000 T/m^1, S_1 = -5.000 T/m^1\n", + " n=2: B_2 = 100.000 T/m^2, S_2 = 60.000 T/m^2\n", + "\n", + "Recovered multipoles:\n", + " n=0: B_0 = 1.000 T/m^0, S_0 = 0.500 T/m^0\n", + " n=1: B_1 = 10.000 T/m^1, S_1 = -5.000 T/m^1\n", + " n=2: B_2 = 100.000 T/m^2, S_2 = 60.000 T/m^2\n", + "\n", + "Errors:\n", + " n=0: dB_0 = 0.00e+00 T/m^0, dS_0 = 0.00e+00 T/m^0\n", + " n=1: dB_1 = 0.00e+00 T/m^1, dS_1 = 8.88e-16 T/m^1\n", + " n=2: dB_2 = 5.68e-14 T/m^2, dS_2 = 4.26e-14 T/m^2\n" + ] + } + ], + "source": [ + "ground_truth = [\n", + " (1.0, 0.5),\n", + " (10.0, -5.0),\n", + " (100.0, 60.0),\n", + "]\n", + "\n", + "r0 = 0.01 # measurement radius (m)\n", + "phi_samples = np.linspace(0, 2 * np.pi, 72, endpoint=False)\n", + "\n", + "# Synthesize B_phi at each sample angle\n", + "data = []\n", + "for phi in phi_samples:\n", + " x = r0 * np.cos(phi)\n", + " y = r0 * np.sin(phi)\n", + " Bx, By = synthesize_field(x, y, ground_truth)\n", + " B_phi = -Bx * np.sin(phi) + By * np.cos(phi)\n", + " data.append((phi, B_phi))\n", + "\n", + "recovered = decompose_field(data, r0, nmax=2)\n", + "\n", + "print('Ground truth multipoles:')\n", + "for n, (Bn, Sn) in enumerate(ground_truth):\n", + " print(f' n={n}: B_{n} = {Bn:8.3f} T/m^{n}, S_{n} = {Sn:8.3f} T/m^{n}')\n", + "\n", + "print('\\nRecovered multipoles:')\n", + "for n, (Bn, Sn) in enumerate(recovered):\n", + " print(f' n={n}: B_{n} = {Bn:8.3f} T/m^{n}, S_{n} = {Sn:8.3f} T/m^{n}')\n", + "\n", + "print('\\nErrors:')\n", + "for n in range(len(ground_truth)):\n", + " dB = abs(recovered[n][0] - ground_truth[n][0])\n", + " dS = abs(recovered[n][1] - ground_truth[n][1])\n", + " print(f' n={n}: dB_{n} = {dB:.2e} T/m^{n}, dS_{n} = {dS:.2e} T/m^{n}')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Scalar Error\n", + "\n", + "Compute the normalized RMS field error between a design quadrupole and one with an added octupole error." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "dB/B = 0.0001333333333333248\n" + ] + } + ], + "source": [ + "from functools import partial\n", + "\n", + "design_multipoles = [(0.0, 0.0), (10.0, 0.0), (0.0, 0.0), (0.0, 0.0)]\n", + "error_multipoles = [(0.0, 0.0), (0.0, 0.0), (0.0, 0.0), (80.0, 0.0)]\n", + "\n", + "actual_multipoles = [\n", + " (d[0] + e[0], d[1] + e[1])\n", + " for d, e in zip(design_multipoles, error_multipoles)\n", + "]\n", + "\n", + "B_design = partial(synthesize_field, multipoles=design_multipoles)\n", + "B_actual = partial(synthesize_field, multipoles=actual_multipoles)\n", + "\n", + "r0 = 0.010\n", + "error = scalar_error(B_actual, B_design, r0)\n", + "print(f'dB/B = {error}')" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "pmd-test", + "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": "3.14.3" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} \ No newline at end of file diff --git a/mkdocs.yml b/mkdocs.yml index b19e4fcd..f78a1545 100644 --- a/mkdocs.yml +++ b/mkdocs.yml @@ -20,6 +20,7 @@ nav: - examples/fields/field_conversion.ipynb - examples/fields/corrector_modeling.ipynb - examples/fields/solenoid_modeling.ipynb + - examples/fields/multipole_utils.ipynb - Wakefields: - examples/wakefields/resistive_wall.ipynb - examples/wakefields/impedance_wakefield.ipynb diff --git a/tests/test_multipole.py b/tests/test_multipole.py new file mode 100644 index 00000000..118760fa --- /dev/null +++ b/tests/test_multipole.py @@ -0,0 +1,87 @@ +import numpy as np +import pytest +from functools import partial + +from beamphysics.fields.multipole import decompose_field, scalar_error, synthesize_field + + +def test_synthesize_pure_quadrupole(): + """A pure normal quadrupole B_1=1 T/m should give B_y = x, B_x = y.""" + multipoles = [(0.0, 0.0), (1.0, 0.0)] + x = np.linspace(-0.02, 0.02, 10) + y = np.linspace(-0.02, 0.02, 10) + X, Y = np.meshgrid(x, y) + + B_x, B_y = synthesize_field(X, Y, multipoles) + + np.testing.assert_allclose(B_y, X, atol=1e-15) + np.testing.assert_allclose(B_x, Y, atol=1e-15) + + +def test_synthesize_pure_dipole(): + """A pure normal dipole B_0=1 T should give uniform B_y=1, B_x=0.""" + multipoles = [(1.0, 0.0)] + B_x, B_y = synthesize_field(0.01, 0.005, multipoles) + + np.testing.assert_allclose(B_y, 1.0, atol=1e-15) + np.testing.assert_allclose(B_x, 0.0, atol=1e-15) + + +def test_synthesize_skew_dipole(): + """A pure skew dipole S_0=1 T should give uniform B_x=1, B_y=0.""" + multipoles = [(0.0, 1.0)] + B_x, B_y = synthesize_field(0.01, 0.005, multipoles) + + np.testing.assert_allclose(B_x, 1.0, atol=1e-15) + np.testing.assert_allclose(B_y, 0.0, atol=1e-15) + + +def test_decompose_roundtrip(): + """Decompose should recover the multipoles used to synthesize B_phi.""" + ground_truth = [ + (1.0, 0.5), + (10.0, -5.0), + (100.0, 60.0), + ] + r0 = 0.01 + phi_samples = np.linspace(0, 2 * np.pi, 72, endpoint=False) + + data = [] + for phi in phi_samples: + x = r0 * np.cos(phi) + y = r0 * np.sin(phi) + Bx, By = synthesize_field(x, y, ground_truth) + B_phi = -Bx * np.sin(phi) + By * np.cos(phi) + data.append((phi, B_phi)) + + recovered = decompose_field(data, r0, nmax=2) + + for n, (Bn_true, Sn_true) in enumerate(ground_truth): + Bn_rec, Sn_rec = recovered[n] + np.testing.assert_allclose(Bn_rec, Bn_true, atol=1e-10) + np.testing.assert_allclose(Sn_rec, Sn_true, atol=1e-10) + + +def test_scalar_error_identical_fields(): + """Identical fields should give zero error.""" + multipoles = [(0.0, 0.0), (10.0, 0.0)] + B = partial(synthesize_field, multipoles=multipoles) + + error = scalar_error(B, B, r0=0.01) + np.testing.assert_allclose(error, 0.0, atol=1e-14) + + +def test_scalar_error_with_octupole(): + """Reproduce the notebook's octupole error example.""" + design_multipoles = [(0.0, 0.0), (10.0, 0.0), (0.0, 0.0), (0.0, 0.0)] + error_multipoles = [(0.0, 0.0), (0.0, 0.0), (0.0, 0.0), (80.0, 0.0)] + actual_multipoles = [ + (d[0] + e[0], d[1] + e[1]) + for d, e in zip(design_multipoles, error_multipoles) + ] + + B_design = partial(synthesize_field, multipoles=design_multipoles) + B_actual = partial(synthesize_field, multipoles=actual_multipoles) + + error = scalar_error(B_actual, B_design, r0=0.010) + np.testing.assert_allclose(error, 1 / 7500, rtol=1e-10)