m-thesis-introduction/fourier/02_fourier_phase.ipynb

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368 KiB
Text

{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"\n",
"import numpy as np\n",
"import scipy.fft as ft\n",
"import matplotlib.pyplot as plt\n",
"import matplotlib.gridspec as gridspec\n",
"import matplotlib.ticker as tck\n",
"rng = np.random.default_rng()"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"# copied from 01_fourier 4988cf4f6e81b6b9510bf55a264011c37dc71872\n",
"def ft_spectrum( signal, sample_rate, fft=None, freq=None, mask_bias=False):\n",
" \"\"\"Return a FT of $signal$, with corresponding frequencies\"\"\"\n",
" n_samples = len(signal)\n",
" real_signal = np.isrealobj(signal)\n",
" \n",
" if fft is None:\n",
" if real_signal:\n",
" fft = ft.rfft\n",
" freq = ft.rfftfreq\n",
" else:\n",
" fft = ft.fft\n",
" freq = ft.fftfreq\n",
"\n",
" if freq is None:\n",
" freq = ft.fftfreq\n",
" \n",
" spectrum = fft(signal) / sample_rate\n",
" freqs = freq(n_samples, 1/sample_rate)\n",
" \n",
" if not mask_bias:\n",
" return spectrum, freqs\n",
" else:\n",
" return spectrum[1:], freqs[1:]\n",
"\n",
" \n",
"def plot_spectrum( ax, spectrum, freqs, plot_complex=False, plot_power=False, plot_amplitude=None):\n",
" \"\"\" Plot a signal's spectrum on an Axis object\"\"\"\n",
" plot_amplitude = plot_amplitude or (not plot_power and not plot_complex)\n",
" alpha = 1\n",
" \n",
" ax.set_title(\"Spectrum\")\n",
" ax.set_xlabel(\"f (Hz)\")\n",
" ylabel = \"\"\n",
" if plot_amplitude or plot_complex:\n",
" ylabel = \"Amplitude\"\n",
" if plot_power:\n",
" if ylabel:\n",
" ylabel += \"|\"\n",
" ylabel += \"Power\"\n",
" ax.set_ylabel(ylabel)\n",
"\n",
" if plot_complex:\n",
" alpha = 0.5\n",
" ax.plot(freqs, np.real(spectrum), '.-', label='Real', alpha=alpha)\n",
" ax.plot(freqs, np.imag(spectrum), '.-', label='Imag', alpha=alpha)\n",
"\n",
" if plot_power:\n",
" ax.plot(freqs, np.abs(spectrum)**2, '.-', label='Power', alpha=alpha)\n",
" \n",
" if plot_amplitude:\n",
" ax.plot(freqs, np.abs(spectrum), '.-', label='Abs', alpha=alpha)\n",
"\n",
" ax.legend()\n",
"\n",
" return ax\n",
"\n",
"\n",
"def plot_phase( ax, spectrum, freqs, ylim_epsilon=0.5):\n",
" ax.set_ylabel(\"Phase\")\n",
" ax.set_xlabel(\"f (Hz)\")\n",
"\n",
" ax.plot(freqs, np.angle(spectrum), '.-')\n",
" ax.set_ylim(-1*np.pi - ylim_epsilon, np.pi + ylim_epsilon)\n",
" \n",
" return ax\n",
"\n",
"\n",
"def plot_combined_spectrum(spectrum, freqs, \n",
" spectrum_kwargs={}, fig=None, gs=None):\n",
" \"\"\"Plot both the frequencies and phase in one figure.\"\"\"\n",
" \n",
" # configure plotting layout\n",
" if fig is None:\n",
" fig = plt.figure(figsize=(8, 16))\n",
"\n",
" if gs is None:\n",
" gs = gridspec.GridSpec(2, 1, figure=fig, height_ratios=[3,1], hspace=0)\n",
"\n",
" ax1 = fig.add_subplot(gs[:-1, -1])\n",
" ax2 = fig.add_subplot(gs[-1, -1], sharex=ax1)\n",
"\n",
" axes = np.array([ax1, ax2])\n",
" \n",
" # plot the spectrum \n",
" plot_spectrum(ax1, spectrum, freqs, **spectrum_kwargs)\n",
"\n",
" # plot the phase\n",
" plot_phase(ax2, spectrum, freqs)\n",
"\n",
" ax1.xaxis.tick_top()\n",
" [label.set_visible(False) for label in ax1.get_xticklabels()]\n",
" \n",
" return fig, axes"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"def phase_modulo(phase):\n",
" \"\"\"\n",
" Modulo phase such that it falls within the interval [\\pi, \\pi)\n",
" \"\"\"\n",
"\n",
" return (phase + np.pi) % (2*np.pi) - np.pi"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Phase information in the Fourier Transform\n",
"\n",
"$$\n",
"u(t) = sin(2\\pi f t + \\varphi_t)\n",
"$$\n",
"\n",
"Define $f_\\mathrm{max}$ as the frequency with the highest power in the FT (it should be close to $f$).\n",
"Then $\\varphi_f$ is its associated phase."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Required signal length is: 0.005s\n",
"Required number of samples: 50.0\n"
]
}
],
"source": [
"sample_rate = 1/1e-4 # Hz\n",
"f = 200 # Hz\n",
"required_N_samples = sample_rate/f\n",
"\n",
"signal_func = lambda phase: np.sin(phase)\n",
"\n",
"# set signal_func to exp(i*phi)\n",
"if False:\n",
" signal_func = lambda phase: np.exp(1j*phase)\n",
"\n",
"print(\"Required signal length is: {}s\".format(1/f))\n",
"print(\"Required number of samples: {}\".format(required_N_samples))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### $\\varphi_f$ vs $f_\\mathrm{max}$ for differing $\\Delta f$"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
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OaBntiX8loWX/o4TkaCXh/bjD3yvZ2NEXEAocbSYk1NsVBdvBMSoS5rbeSOiOOyeLZTDDfS/tyL8T3u+PEE4aXLKD9T9JOLmz1cxePoLtX0jYrzuyoQA30X+8/674BeEzsoRQMOyiHT0gGx/8bsKx2UL4fFxTt8phWWwdhBN238rGPieE797jCcdoI/A9Qm8PEZERsf5DrUREZLSY2fOBt7v7wEqtMg5lrYB3A0/3UKBJCFPtEJKVvA9d0VfGMDNz4LBsDLOIyLigRFdERET2GiW6458SXREZj9R1WURERERERCYUteiKiIiIiIjIhKIWXREREREREZlQlOiKiIiIiIjIhKJEV0RERERERCYUJboiIiIiIiIyoSjRFRERERERkQlFia6IiIiIiIhMKEp0RUREREREZEJRoisiIiIiIiITihJdERERERERmVCU6IqIiIiIiMiEokRXREREREREJhQluiIiIiIiIjKhKNEVERERERGRCUWJroiIiIiIiEwoSnRFRERERERkQlGiKyIiIiIiIhOKEl0RERERERGZUJToioiIiIiIyISiRFdEREREREQmFCW6IiIiIiIiMqEo0RUREREREZEJRYmuiIiIiIiITChKdEVERERERGRCUaIrIiIiIiIiE4oSXREREREREZlQlOiKiIiIiIjIhKJEV0RERERERCYUJboiIiIiIiIyoSjRFRERERERkQlFia6IiIiIiIhMKEp0RUREREREZEJRoisiIiIiIiITihJdERERERERmVCU6IqIiIiIiMiEokRXREREREREJhQluiIiIiIiIjKhKNEVERERERGRCUWJroiIiIiIiEwoSnRFRERERERkQlGiKyIiIiIiIhOKEl0RERERERGZUJToioiIiIiIyISiRFdEREREREQmFCW6IiIiIiIiMqHkGh3A3jRr1ixftGhRo8MQGT82bQp/Z85sbBwiY9Cdd9650d1nNzqO8U7/m0VEZE8Z7n/zhE50Fy1axOLFixsdhsj48YMfhL8XXNDIKETGJDN7rNExTAT63ywiInvKcP+b1XVZREREREREJhQluiIiIiIiIjKhKNEVERERERGRCWVCj9EVERERGes8TWm/5ko6rr2KtLOD/MGHMu2CN1M8/MhGhyYiMm6pRVdERESkgdouvoj2n/2EtG0r1GpUH3qAjf/+UaqPP9ro0ERExi0lurLP8zQlad+GV6uNDkVERPYxaWcnHTf8Ci+X+y33SoVtV1zWoKhERMY/dV2WfVrnbbey9fvfJe3owCKj9blnMe2CN2E5fTRERGTvq21Yh+Vy259sdae64u+NCUpEZALQr3nZZ5XuWcKWb/w3Xgln0R3ovOkGvFZjxlvfucefz6ttsOn30PUoxM0w/RSY/CTMbI8/l4iIjA+5WbPxWq1uiYc/ZsT77deQmEREJgJ1XZZ9Vtvll/YmuTUiHPBKmc6bfkNl5ZBzT+8Sr7XD49+H9qWQdEBlA6z/DWy6ZY8+j4iIjC/RpMm0PPM5WKEIOBhgYOZUlt3Ntp/9qNEhioiMS0p0ZZ+VrFvbe31r3MSmuAUAT1LWXvghkra2PfdkW/4CaQVwPDtZj1dh62I86R7yYdW0m7bKo3RU1+C9D4RHN3fwsyWPc/39q+ks14Z8vIiIjH3T3/R2Ws95ERaBWbgAUKvRcc0VlB9c1tD4RETGI3Vdln1W/tDDSDZvgroEsmwxBU9Iu7rY8uNLmPX2PdSFuftxIAVgfVeOXOTMbE7Ak9CVefJR2z1kbdddbCjdg2Xno+KowEGTzuYbf1jDr5atxh3iyPivmx/gv849gRMWTN8zsYqIyKiyOKZ41NF03dSCd3f1u88rFbpuuZHiEUc3KDoRkfFJLbqyz5p6/qshl8OBWUkXOU9ptwI1N3Cn44bf0P673+6ZJ8v3T0JrqYX82lNYewPuab/7t1VWsqF0L05CSpWUKtW0k2seuJnrlq2hXEupJCnd1YTuasKHr11CLem/DRERGUdqNXrH59ZzxyuVUQ9HRGS8GxOJrpmdbWYPmtlyM/vwIPcXzeyy7P4/m9mi0Y9SJprCgYuY8Z4PACHpbE3KpBib4xbcwVNn0ze/SVoq7f6TTT+Fno9baz4kpKWe3zRJGTof6bf6pvIynNAluVyFnhz21odjSrVku82n7ixZvXX34xQRkYYoPuk4vP77vWesbgTplk2kHe0Ni01EZDxqeKJrZjHwTeAc4GjglWY2sH/OG4Et7n4o8BXgC6MbpUxUraedQf6wo0jTiCiF5iQkl92WAw9dxtZ84pMDKmLuPGuaB00LwZ1J+YTYnHLNIE3D2N22+/qtn3jf2fuOUsTWzvBRTdL+Z/t7xu12VxM6ypoHWERkvIomTWbaG98G+Xzvr7OesbqVB5ex8RPvx9PtT3SKiMjgGp7oAicDy919hbtXgJ8C5w5Y51zg4uz6z4HnmOZkkT1kzsf/jWjaNNyhOamSTxI6owJli3GHykMPsvXKq3b/iSY/CdIIkpSpuQo5UqopgEPbfXh5Y++qU/MHMfDj6Q4nH9RFHIXkNkmcNGvpTR1uWb5u92MUEZGGaX32WUw5/7VYnKPfr5ykRrJ5E+W772pYbCIi481YKEa1AFhZd3sVcMpQ67h7zczagJnARoaxadMmfvCDH+y5SGXCKh90CO1Lr8VrtTCfblTECd2ZDeDzX2DmurXEkyfv8nN4msD6uyEt4w7t1Zh85DTHWbY66QvY1GMASD1hdeefcFJKVaOWQHPBiQ3W/XkGaWqk7mEmiggM46eLjQNWH00U7cY5oNtu2/XHiojIbks7tkGyfS8ir1aprXoMTjipAVGJiIw/Y6FFd7Bf5QOrMYxknbCi2VvMbLGZLW5v13gWGZniokU0HXd8eFM55D38yOiKCoBBrcamH/2UtLrr3YMtimHSYXXTJDrVJIyvBYeulb3d0iKLyUcFIqA570xucvIRxBFENmD6iSzZTd3xwT8WIiIyTuQXHIA1NWW3HDPHIieKUiyOGxqbiMh4MhZadFcBC+tu7w+sHmKdVWaWA6YCmwfbmLv/L/C/ACeeeKJfcMEFezpemaguuIDH3/QWamvC268tLlK1HJNrJfJpikd5Zs2YzfSXnrfLT+GVNlj+TfAa5cTYWs5hOHOaq0AMc5+EzQodGtZ1HcXm8n30nNNxD8nt6vmzWLKqGTCSJNwXxxCZcdzznsKJC2ftzlEI9LkR2c7rX//6Rocg+4DmU89g26U/wCtlouzMqBngCR0/vxhrbqLlWec0OkwRkTFvLLTo/hU4zMwOMrMCcD5wzYB1rgFel13/J+B37q6mK9nj5nzg/ZAr4BhTkgpRmrItbqKWhlbdjd/9AZ13/m2Xt2+FqTD1OACKUeiy7J5N5es12NI3/mpW03G91zvLxuaOiEoNzjp6W7bU+/21OOWyu/tXbxYRkfHFCkVmf/or5BYe2Jfk9qiUab/kO6Sl7obFJyIyXjQ80XX3GvBO4DfA/cDl7r7UzD5lZi/JVrsImGlmy4F/AbabgkhkT2g68ghmv/c9YDGeQkutQppAZ1wMCWmSsubT/7l7VZhnngQePnrNcQLudNeyXzLd6/DSJgDiqIk463RRyIVktrMUUcg7rU0JFnnvJYpTzGBtu378iIiMd/HMWeSnT2OwspsWx1QfWjb6QYmIjDMNT3QB3P06dz/c3Q9x989kyz7h7tdk10vu/jJ3P9TdT3b3FY2NWCaySc84k9z8/fHUyKdOa1qlYjElC0ln2tnFxh9dtutPUJwNuVZwZ0q+RmROObHQrJumsOqXfbEUFhIZFHNhbC7A/ClVsNBduVCAQsGyAlTOhs5uyoPMsysiIuOLtU6qu+V9l1oVCsUGRSUiMn6MiURXZCyxKGL///oc8fTpuENTUgOHzrhAxSI8dbZcdhVbf33Trm3fDA54RW+f5Sn5Gk1RGsbbukP733vXnd3cU12zr5tyHDknHdBJ39hdxz10g44Mbl2xdhf3XERExoqW57woS2gHjNSqVWj/1udINui7XkRkOEp0RQYRT5nM7Le9GSsUwWFKrQRAe64pnFOvVtj43YvZ1aHi1jI/zKmbOnlS2ktGV7Xn4+j4pnsAyEeTe0uOtxZDMttVNvabkhBF4ex+kjhJEsZxlZKUJ9o6d33HRWSfZWYLzexmM7vfzJaa2XsG3P8BM3Mzm5XdNjP7mpktN7N7zOwpjYl8YiocfSyTznslRFFvpf2erszp1i20fevzjQ1QRGSMU6IrMoRJZ57GpDOeBkAuTcklCe5QjnKAkbRtY+1Xv73LyS4zjgeHCCcXOV21qK9Vd+Uv8DSMA27OzSYyaCk6ZtCUd/afVqWYc6KI3kvPWf8VmzWtlojskhrwfnc/CjgVeIeZHQ0hCQaeBzxet/45wGHZ5S3At0c33Imv9SWvIJ45e/s7PKX26N9Jt20d/aBERMYJJboiQ7AoYt6H/4V49hwApiRl8mlCZ1wgwXCHbTfczNbrbty1J1hwNlgO3ClaKEq1tZIL+WqaQlfoljar6WnZA5xZk1OKeefo/bopxKFFN8o+xZ7Nx7v4ifW0lSq7s+sisg9y9zXufld2vZ1QIHJBdvdXgA/Rvx/tucAPPbgDmGZm80Yz5n1CNjRl++XeO/e6iIhsT4muyA7MeesbsGIRMFqTKmBsyTWHIbblCpt+/PNdatW1uAjNC8ChNZeGGiNp1i/Nq7D+TwAU42nkDIyQzHaXDRxmTaqG7VhIcNM0dGvLxzGPqFVXRHaDmS0CTgD+nM2A8IS73z1gtQXAyrrbq+hLjAdu7y1mttjMFm/YsGEvRDxxNZ3yDMjlww3ru5jX6Ljk23it2sjwRETGLCW6Ijsw+emnMfMNrwEgcqelVu4tTgVQXbuelR/7PJ7swpn1/U4LrbpAPgrJclc1q8C8ZSnetRYjTy5qIRdBLoJKzWgvRcydUiOOnDi23u7LZtBVrZEM1QIgIrIDZjYJuAJ4L6E788eATwy26iDLBj3r5+7/6+4nuvuJs2cP0hVXhtRy7iuJZ88NpfbpP1a3cvdf6Lz6xw2MTkRk7FKiKzICM/7hRUTTZ4BDU5LQnFQpRzm6LIenTsfiJbT97rad3/DUI6FlAbgzLV8FdypplE01lEDbg5gZ0wunAH1TDAGcdURH789Ms75xumbO5fct3+19FpF9j5nlCUnuj939SuAQ4CDgbjN7FNgfuMvM5hJacBfWPXx/YPXoRjzxRS2tTP/MN7HItp9Xt1qhdPOvGhKXiMhYp0RXZAQsipj3wXdh+TwONKdV3KErLlBLDS+V2Xjp1Xi6cy2pZgbTjgKMCGdSrkbU2xqbwobFeJrQlJtLlH1c4+xTO3dylVycAk4c97XoRrFzz9pNpLtaJEtE9klmZsBFwP3u/mUAd7/X3ee4+yJ3X0RIbp/i7muBa4DXZtWXTwXa3H1No+KfyCyKw8nPfhzM8VJ3Q2ISERnrlOiKjNCkk5/Cfu9/B0QxpNBUrYZG13wzAOW/P8pjH/ncTie7zDiWno9iS5ySuNFZy1p1y1tgw2Jia8YsIjKY3JQSGXSVIwp5J845URxaci3yvm5tSnRFZOecDrwGeLaZLckuLxhm/euAFcBy4LvA20chxn2SxTG5RYdlt8J3fpSd4IytRtfVP2xofCIiY5ESXZGdMPXZT8eaWklTozmpEWfD0WoOaS2l8857aP/jX3dqm1aYAvOfE67juDsdlRhPHdIabLwTs5hJ+ScBUAhDekkdTj2gC7NQeTl1CMOEQ7J7x6p1e2q3RWQf4O63ubu5+7Hufnx2uW7AOovcfWN23d39He5+iLs/2d0XNybyfcOkC96FFZuJ4tB/uf6kZuk3V1C5cxeGz+xjPK3iG3+HP/Lf+Iov4WuuxKttjQ5LRPYSJboiO8FyMQs/82GsECpgTqqUcHe25ZpIMNLuEhuvvG7nqzBPPRSIwZ28peDOtmrIaL1rLV4rMSl3OBZqLzO1JWHmpIRnHdyZDdP1uguk7lx9/4o9s9MiItJw+UWHMfVDn8XiQcbqVkqUbryyIXGNK2uvhLa7IC2B16BrOay6GE9KjY5MRPYCJboiO6n1uGOY/+F3QS5H5E5ztUqCsS3fROrQufgeVn726zuX7LbMg7GRaDQAACAASURBVDh0gZ6UC+OwSkkUtlGr4CuuIoqKRGbEBsU4VGBO3WjKp73FqKyuOJXm0hURmVisqQnyxbolfSc5k7YtDYpqfPDyeiitAurHOjt4JSS/IjLhKNEV2QVTzjw1zGvo0JTWmFItkZrRFedJayltN91Gx533jnh7ZhEc/tqsPdYxUtydUs3AE9h0NxEFitG8bH3Y0B5RjBKirPtaHIe/PbWsNnV3U67twpRHIiIyJsVzF2JRz08375tXNwI2r6H0u180LrixrrKBfj97e44dCbT9Ee96pDFxicheo0RXZBdExQKLvvhxrBjm0s2lKbkkoTvKU7WItFRm83W/26lt2qT9wUMRqun5CnhKdy1rovUEr3QwpXBSv8fEETzz4A56phUCsmrLjpPyx8c104eIyERhuRwtr3kX5AtgfeN0DSBN6b7ie9Qee7jRYY5N+Rn0TvNs1B28MCSI9VfhiSpYi0wkSnRFdlHrcUcz/4Nvh3wBd4izasvb8k0kwObrb2Hdpdfs3EanHQEOOXNa4oRaGuE9PdOWXYSRI7YcBjTlHANa8im52LNWXSeXC/+3y0nKii0qsiEiMpEUT3kWLf/0BiyOt7+zVqVy269HP6jxoDgXCrPonYC+nhmQwlYV9BKZSJToiuyGqU8/Bc8GxrYk1d7lnlVhfuIbP6Rz2cjPrtuiF0MUilC15hJa4yrVlNAfuXsDcdc2zIqYQWtTSG4n5518FCov53J9XZgBSrXantpVEREZI6Kp06FQ2P6ONCXZsmH0AxoHzAzmvQIKM+lNdm1As3jHvfjWPzYyTBHZg5ToiuyGuLWFRZ/+EJbP4cCUSje40xXlQ7JbrbHhFzeOeHvWNAOmHAZpirnTWcvRVc0+pp5C5zqm5M8AQjEqgMNnl2nKZ92VHapVSNNw+9bHVirZFRGZYHJHHAf13+11Y3WTZYsp33pto0Ib0ywuwuyze08oh4X1LbwptP1FXZhFJggluiK7acrpJzL/A2/D4xxRkpIrV+kmx+ZCC4k7W268jY6lD418g1MPhiiP4RQsoZxGdNbiMBXC478l9gIRRcDIRRBbxAFTeyosZ9U3k1CFORdF3Ld+417YaxERaZRoynSazrsA8vntx+omNbp/9h1StewOrjgfWg4Hq5uqAAOLs4vBhivxVDMXiIx3SnRF9oCpZ55EmkKaQnNSpZjUQi+ouEBlazsPvOVjlEZYGMr2Oxni0CWtNZtqqKMailRRaSPa8BCYE1nEzEnGnClOazGMz43jkOD2dF+uJEk2966IiEwkzWe9jMKpz91+Tt1MdcmfRjegccLMYPYLoWlhz5K+pLfnbEF1E2weeW8sERmbGpromtkMM7vRzB7O/k4fYr3EzJZkl52s7iOy9+WnT2XBO1/bW4W5NanQXC1RiyJKcZ60UmXtj68e0bYs1wwHnQdE5CwNCS5QSQzSKtGGZTTHR/d7zCkLSuTq/k9DeFjNnbvWrtlj+ykiImNHNHMORD1Fqfrm1CWpkqx5rIGRjW1mBtOfAZYb0LJL9o/UofR3vKJWcZHxrNEtuh8GfuvuhwG/zW4Pptvdj88uLxm98ERGbu6rzmXh+96IxTHuTpSGMbPduTy11Nn2l3vwZGTz2lrz7NCFymFyXAMn674MdK2nyEIg/LjZ0B4xtzWhKZfSN82Q4+7EccrvHnucygifV0RExo/CCWeELjw90+bQk6elVG+/gdL1lzYuuDHOinNhxvPpV4W5J+Ht+bvxZ3hVya7IeNXoRPdc4OLs+sXAeQ2MRWS3TXv6ybgZ7hB53w+P7ihHaeVa7j3/vSSdXTve0KT9IT8ZgJZcSnOcUE2jMEdueRv2+C0YMUZES8GILMoSWyeXcyILCa8ZuDudleoOnlBERMabeP6BNL3w1aFV1/o3TFItU77uR6Sd2xoW31hnk44O43VhwLy6hPzXa7DllkaFN27V0jKrOu/gvs0/4b7Nl7K686+krsKYMvoaneju5+5rALK/c4ZYr8nMFpvZHWamZFjGrMKcmUx/zmlYsUiE01Kr4A6FNCGtJnQ/+gSrvvPTHW7HzLAnvwUwcKclSpgUV8Mg4LRGbtViYpsEQHM+JNTzWlPMwjy6hWKoUQJQS1NS0r21yyIi0kBN55xPvOiIAdUYsi7McY7k0QcbE9h4Me10sAL959e1vkt1Hb7tDrzu5LUMzT3l4W2/ZFPpAWpeoubdrO9eysNbr9MxlFG31xNdM7vJzO4b5HLuTmzmAHc/EXgV8FUzO2SY53tLlhQv3rBB3U1k9B38yfey38vOxoFirUYuTemMCqQY1WrCxutuHdF2rHk2eARJgnlCR8Uo1bKPbJrSak8FIM4WnX1oKeu91tOS23f9smX37+G9FBGRsSKePa+uJdKJ4tDIG9U6qd352xEPm9kXWW4q7Pea/hWYoX9xqs4lUFrRqBDHlbbK41STTpw0TLPokJLSmWzk4W2/JknVw0xGz15PdN39ue7+pEEuvwDWmdk8gOzv+iG2sTr7uwK4BThhmOf7X3c/0d1PnD179h7fH5EdifI55r/pfIhyeArNlQqpGVuLzXTki5S3bGPzrX8Z2camHQpAjBOb017LUU4NSLGVv8cIzbb52JnWlGbjcyGpOdWqh7w3cu5UQSoRkQmr8KzzIF8ISe6AAsLJ3/5A5arvNDrEMc3yk6H1WHp/Fg+cdgiHbX/AU82vuyNdtQ2k1HCvHzkeTr63V9by0LZfNyw22fc0uuvyNcDrsuuvA34xcAUzm25mxez6LOB0YNmoRSiyC3JTJtF65CEQGTlPmVIpMbXSTQp0EPHQB77Auit3PHWBHfoSiEIy2xIn4M7Wch5SJ7fqbiDFzJjcBC3FbHqhGKJc+OtZj2Ubav4JEREZ93IHHUnT+e8kim376YaqZap//BVeKTUktnFj6ulQ3J++Ft2o/7RDXoKNV+BqkRxWMZ6CketNct0hcUiBFKejupFlW66lpnmKZRQ0OtH9PPA8M3sYeF52GzM70cy+l61zFLDYzO4GbgY+7+5KdGXMO/Sz/0J+2lSIIuI0JUpTmmpVqhbTVU147Mvf32F3MmudB3NPAXearG/dampYUqOlYwoAuRjmTHaOnl0Dwhl9CF2GADqrFVa3t++N3RQRkTGgeNrZRJOnDX6np6Rtm0c3oHHGLAczXwxRoWcJ2501SLuh855Rj208mVY8mMji3tt19cBxN1KH9uomHth6A+6qHyJ7V0MTXXff5O7PcffDsr+bs+WL3f1N2fU/ufuT3f247O9FjYxZZKSaDpjPCb++CCsWcHdqGN1xaJ3tzhUolytUN7eNYEMzgRwGFKPwT6EricET8m3dGDkAagmcPLeCp9v/b3ac61cs34N7JyIiY0208LC+G3X1lEirlL/zUVwVmIdlFsPUZ4b5dfvfkV1S6L4L71Ldi6HEluewqS8kZ81AT6JrfS27Dqk77dWNLNl0NdW03MhwZYJrdIuuyIQWFQs07T8PgNidXBpaZXNpAt1lHrjwS1Q2DH+W3ead2Ju5Ts5VyVtKOY1JU8fW3o05RMQkSUy5FpOvH5/V0+MKWN3RsVf3VUREGqvw4teHsvuD1FPyTWupXK2xujtiLYfDlKeHbsuw/T9UHDr+iCedDY1zLGuKp3HU9HOJrdC7LO1t2g0tu4lDZ20bSzf/hpqSXdlLlOiK7GX7v+18oqYiAC21MCbF3LHU2fqXe7n71Rfi6dDdd6w4FY4JQ9ljnMlxlbwlpCnEXR1EpbDNYg7mtqZUk/C/OJejrvoyYCrrLyJDM7OFZnazmd1vZkvN7D3Z8i+a2QNmdo+ZXWVm0+oe8xEzW25mD5rZWY2LXgDihYfR9M4v9psOtldSo/a3kVX93+e1HAXxVGDgQbS+ZW3X46nGPQ8lH7Vw5LSXUIha6wpTWVaFuU9HbTN3bfwFVR3LXdZeqnLJ4kd531V/48u3PMjKrV2NDmnMUKIrspfNfM5pHPiBN2LFApE7xWqFMjElYtqjPJ2b2th6x93DbsOmHgBE4E5ESuRp77iX1gcfAyCKYFrROWpmgnsoTFUoQBSF+RSXb93Img6N0xWRIdWA97v7UcCpwDvM7GjgRuBJ7n4s8BDwEYDsvvOBY4CzgW+Z1Q3Ok4aIFx1Bb6EGCHlZlF2SCslj6na7I2YGM14C8ST6kl3r30SetEHbbxoY5dhXjKdw5LQXZi271q8Sc+/UQw6lpJu/bfwV3TX9RtlZmzrLnP/D2/ne7Su4/dFNXLFkFa+6+HZuenBto0MbE5ToioyCea94ATOefyZJ1cmXq5A6SRThGB2Wo/OR1cNvoDAllFIm/H8tpzEdSY5aaljSDeQAoylvHDA1zZpxHXfHHeLYcZzF63bwPCKyz3L3Ne5+V3a9HbgfWODuN7h7LVvtDmD/7Pq5wE/dvezujwDLgZNHO27pz6KY+MgTs4rBZJe+brelb32QdM0jDY5y7LO4Baafk00vNFjLLlDbhHc/ONqhjSvFeBLHzvxHmqJJ/Zb3L1IFXbUO7txwLZVELbs747u3r2Brd5VSNSVNoFpzylXno9cu5eO/vI9asm8X/FKiKzJKpj71GKLmJgyYXO6muValpVomrVS556uXsOaKG4Z8rEUxHPIiiHJEBsUooZJGbKvGRF1dWFrDzGguhhP5ceTkck6ahguE3FeTDInISJjZIsKc9X8ecNcbgOuz6wuAlXX3rcqWSYMVXvE+mDwNokH6MFerVG74SWMCG2csNwNaj6d/Beb6AdBA5+14ScUeh5OPmjl6xjnkozCMy+vG66YOtaxQVTmt8qd1V7KtsrFhsY43t63YQJJ673SS7kaaGGkNrr9vHS+/6A5WbNx3a7Qo0RUZJbNf8HTy06dgubj3g+cO+VqNUjnh3k9/ly1/HnragujAZ8GkBeBOc1QDd6qpkVSd4qp14JCP4YwDEwpZ/Ye4Z5qhNMxf9+CWDXt3J0Vk3DOzScAVwHvdfVvd8o8Rujf/uGfRIA8ftBiAmb3FzBab2eING/Q9tLdF02fT9OZPQa4w4A4Dc9LHluGuug0jYa1Pheaj6Tc+tz7p7Ul2Nb/usIpxK0+d/TKa4im9y3oqMfdcd4dqWuWv66+nszqCWSmElkKu34kDT+nXP/zxjV3880V/5qb71+2Tn3kluiKjJG5u4oSffYVZZ5+BE8altBeaqGHk04Tuasrj37ti+I3kWsGdgqVE2RdWVxpTeKJvLMbsFueIGQngRHFYJ0kczFm6eR0bulQpUkQGZ2Z5QpL7Y3e/sm7564AXAf/sfb+WVgEL6x6+PzDo+Ah3/193P9HdT5w9e/beCV76iWYvoPcXrxnkopDoRgadW6hc/qV98ofvLml9ClhojexNci3OuodHQAptV+Npd8NCHA8iy3HsjHNojqcA1luUqmfsbs+7McW5fd21bOhe1ZhAx5GXHb+Qplx4T3q/g+hY1pMvqaX861X38uEr7yEdpvjpRKREV2QUFWZOY8Hr/gFracEditUK1TgmnyRMrpQorRy+eIDNPxHicIZ+Ui6cPS4lMaQJljqGkSRGe3dEtRa6MVs2PiuKIBdFrOrQWVIR2Z6ZGXARcL+7f7lu+dnAhcBL3L2+nOc1wPlmVjSzg4DDgL+MZswyNGuZTO6k50O+ALFh1nfBU5J7byN96M5GhzkuWNQE0/8Bop5kt27qoZ6/XoLOgT39ZaBC3MxTZ/8Drbnpg/T/CFMPpQ6Jp/xt482s73q8EWGOGy89bn+ed+RcrL6DjXvf8HwPZa7TxLll2XrO/dptrFi/73RlVqIrMspaD1mIJ2E+3WJSI3anlMsD0LniCf76pk9Sax+i1XXuiTB1EQDNccr0XBl3p9pVJiqHeegig/1anNj6Tjb3TDNUqtWYlC8Mvm0R2dedDrwGeLaZLckuLwC+AUwGbsyW/Q+Auy8FLgeWAb8G3uHuSYNil0EUXvou4qNPGWSuIaBSorbkllGPabyyuBUmnU5P8cd+SW7PeN3aKrx7iVrKd8DMOG7m2Uxvmgf0TT1UX5UZIHVnycZbeaz9gQZEOT5EZvzr84/hC+c9mcLAmvdZktuT8EZJyqYt3bz223/i6sUr94n3qRJdkVEWtzRx0LtfTdRcxICWSpkE6I5zdFnM43c+wJ3v+Nygj7UohsPPA48hTSlYyhSrUCSh+d77w/RDEZw6L/zWdIdczomjvv4s1z6iqSVEZHvufpu7m7sf6+7HZ5fr3P1Qd19Yt+ytdY/5jLsf4u5HuPv1w21fRp/FMbkTn4sVW+oW9lyM5P47SNc91qjwxh0rHgTNJ7DdWN36ZLd8P1RXDrUJyeSiAsfNeB7TC/N6WyPrpx5Ksvl2azhLt/yV+7fcuU8kZrvqmYfO4aevfxoLpzf3te3WHdA4yboyu+NJypeuXcr7Lv4rXeXaEFucGJToijTAAW/8R475yoXkpkwiThOKtRqeQrFWxcpV1t6znO4n1g/6WMu19E5AV64Z22p5ymmEdZXo+ee7/1RnStFJEieOnVzesy7MztJN6+isVkZvZ0VEpGHiw59Cb0nW+qmGDCh1UvrOB/FquZEhjivW+mQo7M+ghamIAIfuOyDZ3JgAxxEz4/hZz2VB62H9lveNIu3ryvz3tvu5d9OflewOY+H0Fn76xlN44ZPnhXdnNkbXstk3rG4wdJrC4uWbOO8LN7Ns5dYGRr13KdEVaZBZzz6Fwn6z8BSaKxWaa1UioLVSJi3k2PjE4JVJbdJ+0DobMIpRSmwpbbUC20oWztZZRDEfEb7XDDNIk/Cl1vP7ppRM7DN4IiISWKGJ4qs/BnFu8C7MtRrJ0ttHP7DxrPVpEDXTV3g8Ivy/zS4k0PFbUHGqHYos4shppzK/5VCg/9RDvS27HgpUPdqxnD+uvZFEIySGVMzFfPJFx/DFlx5LPhfSvJ6iVL216dyJEsdS6C7VeNu3b+eb193fOx3lRKJEV6SBpj/tOCzfN6iiGsW4Gbm2du688OusvvWuQR9nJ70Tck0AvVMNVWqGrV4HaUo+hsOnO7konBdN0lCkyh1qaUot0T8JEZF9RXzkScSnvaT/wp4GyKRE7d5b8X2sGuvusKgZppwHlutb1tuNOcoqMjt0/QlcJ5Z3xMw4ZsZpHDntxL5uzL1TD/W06hqJw4bSem5bfSOlRCcRhvOMI+Zw7bvPZMG0ZqKorxdzaOHNrruH1t7U+dnvH+GNX/sDj2+YWIWqlOiKNNCBb34pcWsL5EKyW8rl6cwXyJcr+Mo13PPW/6D9/ke2e5y1zIKWOZCmNFuNnr4o6X3LwcM/iZcdnZIvgFnvIA3cQxfmy5YvGZ0dFBGRMSF32PFQaA43QgNk1voIvvwuqr/4RiPDG3csykHzqUBdBSCL6S1UZQa+GbpurW+mlGEcOPlojpp+Uv8KwoSuzPXjdzeVN3LTql9RSdTlfjgzWgv85K1P459OPbAv4fOe0l/0dW3Olj/6xDbe+KVbuf6vj0+YLuJKdEUaqLjfTE755TfZ7wVn4kCxXCZJjVKuQEu1gpUqrPj25YM/uHUOYEQGRQsttOVahFmMETGlEJGmkCQQx+H0XZrSO05XRET2HdHhTyXa7wCIQ2Jm9d2Ya1WSJb/F2zY2KLrxyYqLoOW0bLqhgWN2CcvSrVB5qAHRjU8HTD6Sp85+NlGWotTnW/Xz7ZaTMtc/fjWbSoMP85KgKR/zvrOO5D//+Sk015dlrp+CKElDV2aHpJry5cvu4X3f/BPlyvjv/adEV6TBmubNYsGrXog1txAlKYValXIuTy2K8DRl3SNr6Kps3/XJDj0L4jAt0ZRclWm5CmnqlDvLGGG8bloz0tTI5cKcup619saDjdMSEZEJy6KY4lu+gE2f0z/Jhd7mneShxY0IbVyzwoFYbl7fXH5hKX0tu0B1KVQebGCU48uc5gWcut/ziS3XryW3bxqiUKCqlNT43aobWdelk/c7ctrhs7n2Q8/isHlT+p+Lce8dw2vuRA6eOktXbOalH/81Sx4e3ycSlOiKjAGthy4krVQBKFYrRJ7Snc1327liNXd/+VJKXaV+j7GpB8CxrwEgwilawtS4yuSHH4Q0JY6MJ80Cwwf0mnKqXuOJzolbZU9ERLZn+SLxYU/JWiDpN9UQaUL1uu+QrLi7kSGOTy1nQG5u/0lg67MJAyrLIN022pGNW9ObZnPGvLPJR7l+y92hlo3fdaDmzi1P/JaHtupEwo40F3N8/+2n8dazjyCKwvvT6s4k1Ce8ljiVUsKF37idL/3kb+O2dVeJrsgYUJg+hf1fdQ5Rc5GIUIW5UKuBQ6GtnZWX/Irb3vaF7cZM2KR5YEVwKCcRHbUc8Zp1WR9lOPeQsH6SQD6fks9nM4dHznWPLR3lvRQRkUbLnXYe5PJ9BYP7dWGuUL3yKxNmfN6osRianwZWoLclF+qmcuqZzulmTTu0E6YWpvP8/V9KU9zcew6hvjBwWjfX7l83LGbx+sWkrqJqwzEzXnXmwXzn7acxa0qx79xMfcKb1ie8Kb/902Nc8G838MAj4++9q0RXZIw48hNv4fALLyA3dRL5NKFQDXPrRkBTeweb7nqQtfeu6P+g1tm9FR1zlpJibKkW6KpGmBlJZDQXnShy4pyTLzi5nIM5j3VsGf2dFBGRhopm70/htZ+EKN6+1TEyvHMLvkVdQXea5aHlWSHZdfonu9BX/adyR5jzT0YkH+d59oIXMr04g9BHLejrypxdd3hg64Pc8sStmn5oBI5YMJWffPCZPP+p8/sKUtFXkZmeKYgcSJ22thIf/NLv+d4V91KtjZ+TCQ1NdM3sZWa21MxSMztxmPXONrMHzWy5mX14NGMUGS0WRRz4+vOYcfpTSJPwpV2Jc3QWiuTThGKasGHZo/3mObNCKxz4dIjyxAbFKCHF6F6zhaSWMqsZkpTeb7By2aiGHtI0xbntgxARkQkvPvg4bOb8vgU5g9iw2ICUyiUfwzvbGhbfuBVPgebTs+rLbD9mF8CrUP4tuCoGj1QxbuJZ889hTvPc3oSsLh/rLVDlwBNdq7nmkWsp1UqDbkv6FPMxH33FCXzuTSeTL8T0e7dmvzWtp0uzQ5o4V9/4MG/82K9ZvX58TEPU6Bbd+4B/BH4/1ApmFgPfBM4BjgZeaWZHj054IqNv8uEHEBXzvbercY5KnKOwrZ3OX9xEx4DphuzYV+KT98fdabIanjr5+x+iVHFaYuPU+U4hnxJln/YkMcBZ3b2VVZ1q1RUR2RfFp7wY8kWIs7F61vMXaN9E9caLGhjdOBbPhMKx0C9toH83ZspQ+VuDAhyfzIzT5z6LI6f3TwHqW3XTbOxuW7WTqx/9JRu7N41+oOPQyUfO4YpPPo8jDpiGZXPu9o3XDetYTwtvClu3lHjbv/6Gn1yzrJFhj0hDE113v9/ddzR6/GRgubuvcPcK8FPg3L0fnUhjLPznc7B8aG0tJDVySUJXvkDqzuY/LOGPL3kfT9x8Z+/6ZhHkWqCWUkxrxGlC1NVNqSPBgRPmGPlcz3y6PRdIPeX3a5aP/g6KiEjD5U5+AdGTzgSz7aswe0K67I+NCWwiKBwM+aPp/Znd23057qvO7Buhuhg0pnTEIos4duYJHDfj+DD/c/14XfonvZ21Mtc+9htWdaxuQKTjT0tT/v+zd9/xdZRXwsd/55nbVN1wLxgbYxubZkzvYDoESEISQhJIIwkpm+xmE7Jsyu672RDYlE1IIIWEdEIIBJZeAiYUAzYYsCm2sTHu3ZIs6ZaZOe8fM1e615aNAUtjS+frz3x0NXd0da4k3ztnnuc5hx994Vg+994DSbny7IPOnrvlKc0SX1HQEP58x8tc/u/38caK3bfIWtIjujtjJLCs4vPl8T5jeqXskIEc+ddraJw6HgRyxQKgtKUyECr5os9T3/olbYXOlkMydAp4UZXmBq9EreejQUjRdxRDh9No2rJz5TZD0RvClpJN7THGmL5InCNz/hcQV3Eq6CTaREB9in/9LmrrSd+e9ASQqN89UD2dubyF68BfvN2HMF2bPHAKJ488BRf/bKsSXoVSPLJbUuWeZY8wZ90LCUW6Z3FOOPeYsVz/1RPZe1Rj5x3aOY2ZihFeCUJWL2/iS1+/j7/cPh9/N1y72+2Jrog8KCLzuth2dlS2q4af2y0HKCKXichsEZm9bt2e3fvJ9F2NU8ZzzL3XIrkcLgzJFEuUvBSBODJBgL9yLZs2NBOU11DsczxkGwEh60IaPJ+alW/gwoBxDY5SIJ0zpoDAj24Ugm378xpjjOkbxHm4CdOjUUa31RRbIHxtDsHcBxOMcA8mLqrE7A2q2Lf1NGYFXQiBza56q4bVDuP0MaeTdZmOfeXWQ+Xb0VRm5Zl1L/Lg8scphXbOszPGDGvguitO4qKzJuG6yBSjacwhTjVKfoOQm2+dxxe+ejcrVu5ea/u7PdFV1RmqOrWL7fadfIjlwOiKz0cB252HoKo/V9Xpqjp98ODB7yR0YxKXGdAAQNYvUV9ox4unONXk86y+dxYbN0XFACRdg5z0b0BUejAIIbtkCZlinsa0cPjQ6que5Y8Lm9aw0vrpGmNMn5U++7NQ378qwe1QKhDMviuZwHqLzHQgR5drdctth8LXILDBmbdqUG4Q54w9m7pULUCXFZnLny9sep2bX7uLkl3g3ykiwofPmcx1X59B/8Zs1ahjVb/dMJ7WHMK6NVv45yvu5Q9/fp4w3D1Gd/eEqcvPABNEZB8RyQAfAO5IOCZjesQ+n3o3Xk30ApOKXzR8EfAD3vjODcw8/ytsXBX1NRMvA3igEIRCe+CRz4eUAsfgWtfxnz2TUXI5xQGKMm+TrV8xxpi+ShoGkv7gt8BLV+ys2Da8gf/4X5IJrjeQHGRnRO2Htr0z3hT0WQhX93Bwe77aVC0XjDuP4TVDt7lP4ynMcR7G5uIWfr3gr6y1IlU7bdSwBm78zpmce8o4XLlwnYYd3bKiz+Ph87gyG4G5xgAAIABJREFU8+23v8SnP3c7y5YlP5CSdHuhC0RkOXAUcJeI3BfvHyEidwOoqg98DrgPeBm4WVXnJxWzMT1p7EffxeiLz8RlMyBCSRwt2VoKLoXX0kq4fDWv//im6OBMHdTtFd10ISmU1k15mtsh4wlpFxXX7LgSJ9GbQEr2hOtdxhhjuosbsjfURDOIkGg0RyqKVAVP3EK44s1qh5rtch6kpxOddldUY66qxCwQvghhe3Jx7qGcOE4dfTL7D5gIdL2+MVTwQ2jzfW5adB8vb7K10Tsr5Tk++f6DufqrJ9K/MQsiVZWZKxNeLwjxAqVlQztXfPkubvzVM1VtMXta0lWXb1PVUaqaVdWhqnp6vH+lqp5Vcdzdqrqfqo5X1W8nF7ExPUucY8p/fppj778WdQ4XhHhBQHsmQyhCrr2d9Xc9Fh0rgjv8Ex1FqWqcj/faYtQPmNjokUrF1ZZD6einG6LM37Q8sednjDEmeSKOzAVfhlR62+nLDgiL+M/ek0hsvYYbCOnjtv35iquuxsws0N1rneOewInjyKHTOX7YEXjlNebxfeWRXe24rdy3fBZ/X/4MqsklYXua/fYZyC+uOpMzTt53mwJKAriw3HM3akVEAA/evYDPffJWXpq3JomQ94ipy8b0ednBA9D4ZaWmGDWZb8tkAQgKRd54Yj5NbUVkrwkw4TRQqMHH27wZWbeetArThjhyOe1IeINAcMDSLRtY3WZvqsYY05e5MVNIn3YZ4qXiHUBaoqlAHujCx/BffjTRGPd4rh5cRduh8tTlqpHdEPQ5UKt2/XZMGrAv5489A69c5ZooyYW4QBXRFqjy3MYF/G7hPRSCUiKx7omyGY9PfegQrvrGKfTrn+u8Q7VzxuBWrYiaN7XznW8+wE9/8BgtLYUejdcSXWP2AJn+DQycPhk8h1OlplgkcB75VJrCpi08efE3eexTV9PeXkQydYCHADXi46GEKhQCSAmk4inMqbiLhENY2Zb8OgpjjDHJcpOOikYWIV7rUrFpSHD/T9HWTckGuafzxoB3YOcIrlRMZa5cs8sToG2JhbknG1wzkAvHnUW/TB3QOZW5coQ3jEd5V7dv4hcv387K1vWJxLqnmjBuEL/433M55cRxVK2Aq+i9u/Ua3lkzl/ClT/yVpx5f2mMj6ZboGrOHmPbTr1I7aiip+hoygU/KL6GhEvpKqrmFzU++wPw/PkA4YlrHG2eD5zO4dQ1eGLBXxkNCKBalYzmQKhRDn5zXVZEMY0xfIiKjReRhEXlZROaLyD/F+weKyAMisjD+OCDeLyLyIxFZJCIviMi0nop1y9I1vPDdPzHn679i7ZPzbfrhLiI1DXgzPg4pj226OwqgAcG8vycRWu/ihoOMYtufcUUlZnzgeTrTM/NW9M82ctG+72JE7ZDoT7ey1y7VFZq3+AV+t/B+5m9cYq8lb4Fzjk9//DCu/q/TaeyXq56VX9F7N5rOHP1ZlwoBP//BY9x43VM9E2OPfBdjzDtWM3wvTnnyBiZ/85OolyLbViBdiKbbCJDZ3MyyWx6mJTUQOeh9IA5VcEuW0uhKnDjS62iTWBbEM6PuW2bN1I0x+MC/qOpk4EjgsyKyP3AF8JCqTgAeij8HOBOYEG+XAdf1RJCLb/o7t+5/Kc9980Ze+O8/ct+pX+Gxj11jJ6i7SOqQ03EHn1ZVM6njtoaEs/5MuHhOQtH1Im4yyNg44+qitZMA5EFnAcWeja2X8MRx3thTOHLIAZ1/wpUJr3YmvSFwx9InuX3pE/Za8haN3XsAP/3fcznnXZNxW59oxir3+n7IE48sZvnS7p8dYomuMXsQcY6B0yaB17n2pOR55NNpPFVkzXo2vPQ6wYRT0XQdqFIshDS98gZZcYysr34BKl84Xt3exIb8lh5+NsaY3YmqrlLVZ+PbLUSdDkYC5wG/iQ/7DXB+fPs84LcamQX0F5Hh3RljsbmVxz7+PwTtRcKiD6r4bXlev2UmK++f3Z3fuk/xDjoNUpmOzzuqMAOEAf49P0B9W9f4joiAjAMZSFej56pK9C+P6guordl9W5w4jhh6IGeMPrqjSBVU9toVVIVSCCWFFzYu5fqX72Zzwc6J3opMJsUHP3gI/3XVmQwdXt/ZNno71wxCVeY/3/3ttFLd/h2MMbtU4+SxpBvqCFrzAPjOo5hO44Uh6WVreP68L7PhzCM59Lw6yDeTdSEpVZrahS3tjrQLCUJIeUomnrEsCG1+kUEJPi9jzO5DRMYChwBPAUNVdRVEybCIDIkPGwksq/iy5fG+VTt88A0b4MYb31ZczbNfZd9wJYFuNcK1Bbb859Ww6uy39bimmgO81Q3o689Vp2Ado7wO3XwlMnL/ng+ut1EFVoC2dIyedz2ieDvKWKSiyJLZeZOA0aU8T655gWIYRBWY6VyvCxXTmYFHuZOjh01ir1y/ROLdU40F/ucQ5XlW8MyTyzp+uFuP86bSjrGPrYCN3TuF2UZ0jdnDiHMc8esrSdXV4NVkyZWKuCCgLZ3B90O0Lc/Ke2axevMY1EVX5OvWroAwZN9+XlRfhKjqchB0rtMtWtVBYwwgIvXAX4Evqmrzjg7tYl+X1+9F5DIRmS0is1taWt5+cE66/q4C4tkpza6UmngMMmBE547KqcyEhK/MJNzwRgKR9TIiwHCQ6P26MsntSMbKI7ssQ9XW7L5ddekcJ444lAHZhm1eRrRiA/A15LHVL/PSJvsbf6ucEw45dBQXXzqNIcPqu3zJBhg7fmC3xyK9eR769OnTdfZsm8pkeqfipmYWXncbr/7gJkp+SGtNDV4YUpvPEzpH6oipnPy1STQsnYmqsnrKdNpG78N1L7dRUgjj98p0WkmnYFhNI/86N646eOmliT0vY3ZXIjJHVacnHUd3EpE0cCdwn6p+P973KnBiPJo7HHhEVSeKyM/i23/a+rgdfY938t5cam3npmHvxY9ntJSlanOcetd/M+yEg97W45quha89jX/PD8EvxKONW52y1g8i/dHrka33m7dOQ+BZlM5rSyFdTVduwHE4InZh5+0KNeTRlXN5ct0r+GG8Rreiz+7WqdGoukF8ZL+TqKmYzm923hMzF3PjdU/hnKAKnid84YoTmTR16C55/B29N9v/EmP2UJkBjYx813G4TAZPlZpCAd95lFIpvDAkXLaW1ZtHUgizSBBSt2EdOUJSAumUks3G/XR9wQlsKGyxXnLG9GESZSs3AC+Xk9zYHcAl8e1LgNsr9n8krr58JND0ZknuO5Wuq+Gkm7+BV5vFq83iPIdzgvOEFfc9g9+Wf/MHMTtNxh2Gm3hsPJJekcyWqwO3bSJc1DPVU3s9cSAHAlkgGsUtU1VUw3hrItC5tmb3HXDiOHHkNC4cdwJpF6VClVWYy0KFUgiLWzZw9fN3sKR5bc8H2wscfcI4rv3t+/jcV47ni/92Ij+68cJdluS+GUt0jdmD9Zu8N15t9KaYDgLq8u1kfB8AXb6GuVfcSFNbSBhCXamNIfWQ9YQwFAjpmMYM0RupZ1eIjenLjgE+DJwsInPj7SzgKuBUEVkInBp/DnA3sBhYBPwCuLwnghx15hFc+NrvyQ2oR+IKn35rnpd/dCv3nfJlq5i6C4kIqVMvh8YhlTur+r8GD15LuOzFhCLsbTKIHAXkKKde0d9z9d+0shZfn7a/9Xdo38aRfHbKedSncttMrw1C8CtGeVtLRa5/6UEeXjGf0H7ub1km4zH14BFMPmAYqVTPnWvaWa0xezDxPI644d/wanO4bJpUGKKAjxAgsLKJFS+VaPKzuLVrcb7PMSPTZNOK71dXHwRlWeuGpJ6KMSZhqvqYqoqqHqiqB8fb3aq6QVVPUdUJ8ceN8fGqqp9V1fGqeoCq9thaobVPzKfU0o4GnesVg3yRzS8vZfXDc3sqjD7DO/R8SGWrEtwOQRH/sd8mE1iv5IjqwGW3uadchznShK+zUfV7MrhepyFdw+VTzmFK/9FV+8vj5eXqzOUWRHe/8TzXzruPUmA/9z2BJbrG7OGGHH8wZ8z5NRO/+D4UQUNoy+Zoy+aQMGTBTRtoW1ECVfTvMzmgX4ata1kEQfQiPn/j8kSegzHGvBXr5yzA39K+zf6gUGTDcwsTiKh3c1NnIBOPq05yPYFUvDUtI3jlkcTi621EaogmWKTpGNndelRXFdUN+OEzPR5fb5PzMlw4/jhOH3UIjs7py50tiKLbgUYJ8OtbNvKtObexsGlNQhGbnWWJrjG9QM3wQUz4zHsgrjqaKxRQgfZcjlTBp+nVVjRQvDAkFYYUS1LuYoAQfZkItPvWlN6Y3kJErojXz2ZE5Ko3/4o9R8M+w0nV5bbZ7+Uy1I8dlkBEvZuII3XypyBTG+2I17109NcVCB//FeGKeckG2os4cTgOA6oLIKkqoQYoIUpAyEaKweOoWo2Nd+rooZO5fMpZZL3q7quq0Whux22FLX6Jn8x/iHveeJEgtErYuytLdI3pJTL96xlw4L4gQioMO4pTtWcyrFtQoLndY9OmAg01Ho0ZV7XMyovb8jkR/NAKXBjTSzwN3AT8BvhzwrHsUvu870S8XKZqhFHiolRDj52aYGS9l4jgDj0fUpmOJLfzTiAoEjzTq/7MEidSh+NYoDPxqipSFf8L2UQpfMrW7O4CQ2v7888HvosJjUO2bUEUJ7zln3KocPeyF7lq7j20lgo9HKnZGZboGtOLHP7zr5AZ0IBXmyMdBGRLRUpeijcWKc0rirS3h5TmzufkEZmqF/D2fFTyXSRkQdPKxOI3xuxSU4C1gA/0qmHOdEMtZ878IQOnTcB5gvNAnKJ+wN8mf4TVM22dbnfwpp2HTDqhegqzo3N60PpF+LN+ZwnXLuRcGk+OoHNkt3Iqc+cWsoli+DCqNjPrnapL5/j4pFM4ZWR00Wzrv2ZV8ONiVYHC8tYmrnj6Nl7cuKLngzU7ZImuMb1I44TRnD3vdxxyzeVIbY5Ue5FUW4G07/PUTzchLSVan3+FSQMyVBW9U5D4lXxpy7pEYjfG7HLLVPXzqvphYELSwexq/SaN4aB/u7ij8jwKQXsBvzXPzPd9i7BkxWJ2NREhdewlSCr+mTu2qcKsrzyErno5uSB7IZF6UnI0lSO7lelXuf1QqC0Ugics2d0FRITTRh/IF6aeTi6eytwxfZnqUd0QKIYh186fya9feZKSzYzbbex0oisi+3VnIMaYXSNdX8O4D59BdsggVCHj+wjg+0BTAU+VfAlqMkra0bGFQXSSEm5dqcoYs6daLSLXisivgIOTDqY7vPabewm66J2rQcjax229aHeQVAZ32PvAS3dxJxAUCJ/5A2p92XcpkRwpOQqo2arHbuVkWlCayAcPo2pTaXeF0fWD+Oah72Zs/V548USGcDvFqsIQnljzOv/+9P+xtGVjIvGaam9lRPeTIvLpbovEGLNLTfjkOZ0jHUA+m2Xes0KmWCKzahV71Xik051vjuVaCqWwxMZCS0+Ha4zZ9T4BbAa+RdTvttfRHRSB2dF95p3xDjwbd8AZUO69Hk9dLhenYuNSgvu/a1OYdzGROjLuSKJqzFT9fLXqXzv5YCahtiYUae+S8VJ8buoMzh1zSNWyr8oCVdGvIloGtq6tnf965gHuWfqyDR4k7K0kuhuAz4jID0XkoyJySHcFZYx55yZefj6jzj4KL5fBy2XIFYssm5Pn9deU/rOf4LzR2zZIL1+dfHSVjYQY0wusAXJE52O9ao1u2bgPndpl9WUNQ4YcY0WpupM75IKqUd2q4lSEsG4RuvqVng+slxOpJetOAGq3e0xUmbmVdv/vhKGN7O4KThwnjZzMlw44jcZ0dY/jjiQ3hMAXNBRKAdy84AW+Mes+2ko2lTwpO5XoishhwD+Irg5/C1gCHPdOv7mIXCgi80UkFJHpOzjudRF5UUTmikiPNaQ3Zk/mPI9jf3slZz39M0accQQEIdnWdp76wxaaW3zIF0l3LqtCJJ6CI7C8dX2SoRtjdo0/ANcBXwEeTDiWbrH3u49nxOmH49VmEQHnBOcEgoCHz7+SYpONaHUXydTiTvg0ONeZ5DqJ1sKkHEhA+Ni16Bar+7CrieTIuqMpF6jSrdfrEsZbkbbgXoLQptHuKns37MV/HXYBk/sP26bnbhBEUxtUpaMN0bKWFj4/8w6eXr0sybD7rDdNdEXkb0RvlF8Gfg98H3haVX+0C77/PODdwKM7cexJqnqwqm43ITbGbKtxwihGnXs0qfoaPFVq2vO0tyhs3kIxkPjkMEp0Xcf6EyviYkwvsACoJ0p4e2U5dXGO4//4dSZ/4T24TGehnrDos+6J+Tx52TUJRtf7eeOOwh16IVHZa+L+uuUNKLQQPGRTmLuDSA0571SEuo595SQXKqcyF2kLHiYIm5IKtdfxnONzU07i0olH4Un13LjOacygKoQhFP2QH8+dxQ+efZwtRRvd7Uk7M6I7Ffgs8H5VnQg8RpT4vmOq+rKqvrorHssYs31jLjiOVF0OcY5UGLLq4c0Mfv5Z9h9Y3RS9vKStpdTOoiYrk2/MHu5m4Ezg2HjrlUSEFXc+iZaqK52GxRIr73ua4uYtCUXWN7hJp4KX6bxSWiZE5fxb16OvP5lIbL2diEfWOxahPt7TVeshgJC24EFKgb2v7yoiwhFD9uEbh57F8NrGbe4vj+qWb4chzF61kn96+C7mrV/Tw9H2XTuT6F4FfBV4WUReBGYAM0TkVBEZ3K3RdVLgfhGZIyKX9dD3NKbXSNVkOWPmjxhyzFQk5bHkH+28dvPrHClb8CqOCwKJimYqPLfe2kMYs4ebr6pXqer3VPX7SQfTnYqbui6gJ85Ram7r4Wj6FsnW4Z31dUhlK9bCxB9EgBB96pfoCutt3B1EcuS8UxAat+n3CuXWQ4pqQHvwOMXgjR6PsTcbXtuPb00/ixkj90O2qXwSJ7xxYWxVoa0Y8J1Zj/OTOU9TDKwNUXfbmUT3XOBmVR1PdEX4esADPgDc+2ZfLCIPisi8Lrbz3kKcx6jqNKIr058VkeN38P0uE5HZIjJ73TpbF2JMWcM+wzntwe/z/jW3ESosfbZIqa1AxhMccTtEOqfctOZtFMSYPVxJRB4QkT+KyB+TDqY7DTvlUMSrPqURgVRDDbWj9kooqr5DBo1FDn1/VJyqKsmNPw19wqd+GbfCMbuaiJDzjsOTofGeeGR3qynjitIezCJfsgvZu5ITxwcmHMq/HzaDXCpFufpy58coyQ0CIQwFP1BmLlvOZffexcKNtn66O+1MovsJ4EMi8jzwU6I1uveq6sdV9dA3+2JVnaGqU7vYbt/ZIFV1ZfxxLXAbcPgOjv25qk5X1emDB/fUgLMxe450fS1DjzmAzatDRi5cQCYddi6pEvD96ORkvd/GlnW9clmfMX3FMFU9VVU/qKofTDqY7nTQ1y8h3a8Ol07heZBKCV5K0C2tzPnSjwlt5KTbuX1PgLq9oNxiCKIst3wltdRCOOvn1vapm4ikyXlH4xgKW40sRit3g7hAVUBe59JaesouPOxi4/oN4kfHn8fBew2P1+6WG+1Kx9KwaBpzlAC3Fn2unPkIP3vuWQJbx94t3jTRVdV1qnoO0Wjqb4HPqeql3R1YmYjUiUhD+TZwGlERK2PM23TkT75Iqr6WZ65awPG1Prls9QtseWR37oIHkgnQGPOWiMj/xh9rKnbXisgHROQsETkrodB6RN2YIZwz55cMOng8znMdtZC05LP0pgd55Qc3Jx1iryepHN6Z/4Fk4/WKUt4qyvuvmIO+cndSIfZ6IkJN6mjSbt+q/UpnQhtNYw4phq/RWnocVbsItCtlvBRfPORYLj/oCFKuvDhMUS1XZI73aFQXJQjg/teW8qm77uGlddbxYldLvfkhkXhUdZcO74jIBcCPgcHAXSIyV1VPF5ERwC9V9SxgKHBbfHUwBfxRVd90yjTAhg0buPHGG3dlyMb0GsVvnMaimc/T9tN7WDykkWIATU+/SrAF3lgZUjtCeCMbsGihXWU0Zg9wSvzxMaA82+phIEv0Htvr5YYOoGXBG53rL2JBe4GF193G/l++KKHI+g5J1yAHXYjO+S1oqTPBhSjpDYvoS7ej+xyD1AxILM7eTMSRdQeBhhR10TathzoLVCklfYPmUjON6dMQSXf5eOatExEOHzaGffvvxbXPzeLVeHpy5UuTVozwqsK6LUX+7e+Pc+b4sXz4oP2pTdvvY1fYqT663UVVb1PVUaqaVdWhqnp6vH9lnOSiqotV9aB4m6Kq304yZmN6i0y/Osa862gaBgxGgLaXlNbXIL8GNr0Ea+9XNq33CJY8m3Soxpg3d6+IPAkME5GPicihwJ9V9TflLekAu5sGIUF7ocv7Sk1Wc6CnyPjjYfyJVE2frRzZ1RLh/V9H2zclFGHvJyLkUtPIeYdS/j1UJrla8S/QTTQV7ybQrgu6mbdvYK6Wbxx1Mh+dcjCpiqrknQlvNI05msocTW++c8HrfPz2B3h5na3d3RV2ekR3TzRo0CAuvfTSpMMwZrcWBB/ie3f+mZdeDDm6PwQOiqOPJxUo6VVw2nvXMerAM5D+w5IO1ZhEffSjH006hO1S1S+LyDjgEWAf4F3AFBEpAvNU9f1JxtcTXMqj3/5jaZq/ZJv7+h8wLoGI+iYRwZv+YYJ1L0Hzys4kt+MAwG8nnHcr3mEfTyrMPiHjjQccbcFT0GVN5igBDmimqXAn/TLn4LmGHo2xL5gxdl+mDxvFNx6byeqW1s4x9Y6eu51reAGa8z5fuf9xjh0znH8++hDSntfFo5qdkeiIrjEmeZ6XovRiTTTLrGK/7wnqYGbTcIJFTycWnzFm56jqYmCGqn5dVc9X1QnAEcAPEg6tx0z7/ufxarOIk2gA0YFz0Dx/CU9/+morhNSD3PRLwaXpLMMMpBx4DpzCiicIF9h63e6W8fahzjsJ4maC1VOZ4743KEqJzcW/UfCXJhJnb9c/l+OHp5zGRfvvHxeqomq9bvSxs1BVECqPLFnF+/98H8+uWJtQ1Hs+S3SNMbhUtsv9fgCFQAie+hu6cVUPR2WMeatUdcFWn29R1VlJxdPTBh81lRkP/5h0v9qOglQAYbHEijseY+kfrcBeT5HBE5ET/qVzNNdzSFyRWSTuOPrKHejGxUmG2SekvaE0pk8HOtd9VrYeKldlDvFp9h+m3X9lm9ZE5p1zIlwwcRLXnHIyIxrqO1+ftrr+VpnwtpUCvvbA03zjoadpL5Z6POY9nSW6xhhOOmky0sVCBvFhweISHDaF4h+uREOrzmhMbyYivxKRtSIyr2LfwSIyS0Tmxn3qD4/3i4j8SEQWicgLIjItucg7eTVZtOhvsz9oy/PaDf+XQER9lxsyGYZOAbfV1MtyRWb10TnXo/nNSYTXp3iuP43pMxBy8Z7K9bqVVZlDWkqzaCk9nkCUfcOYxn788LRT+cDUSfGFn3LfY6icW1fuvRv4whNL1vGePzzEfQuWJxP0HsoSXWMMRxy+D6msi972tDyRCYqesOIZ4dWR4yEookueTzZQY0x3uxE4Y6t9VwP/oaoHA9+IP4eo7eCEeLsMuK6HYtyhMF8EJ13et71iVab7uCM/A/1GUjWFGegYcm/fiD52lV1I7QGea6R/5t04Gjv2lacyR22HyqO4IflgAZvydxFqMYFIez9PhPftP5mfnT2D0f0aqE5wobxuV+NCVapCvhTy3Ude5LN/e4Jlm1uTCn2PYomuMQYRQePpZa4i0VUnlBAWrQ0IneLPuRsNbOqMMb2Vqj4KbF3uU6HjzLgfna0GzwN+q5FZQH8RGd4zkW5fw36jSdXVVO0TAZdy1I0dRpC3E/eeJJk63PFfQbyKaUNVxakE8pvQhbZetyeIOPplziTtxsR7tp2iXB7lLeoqNuRvIwitInN3GVpfx0/PPoWPHDQJb6vKzBp29t6Ntuj2/NVNXPLnf/Cb2Qsp+HaBaEcs0TXGADBsVAPE3R862kAA6sP6fED+sMMIF8+ldOvVO34gY0xv80XgGhFZBvwP8LV4/0hgWcVxy+N9iRLnOPwXV+DV5nCeQxyIE1Bl/WPPM/OcfyG0tW49SjL1MPX9UWWwcpJbfp+R6HfDorsJF92XbKB9hEiaxsyJZL392DoV0I5L3ZFAm1mfv4VSsK5ng+xj3jd1P268YAajGutwInRMLa9oRVSZ8AYB3PDUYt7320eZt8qm/m+PJbrGGAA+9OHDOm6XrymWl4vMnemzdvQ4ivV1hIvnEm5YkUSIxphkfAb4kqqOBr4E3BDv72p+cJcVbETksnh97+x167r/hHnoCYdwwh1XI15U+KgsaC/QsuANlt/+j26PwVRz406Gye8GqVivK5XTmUNYcDthoTmJ8PqkutQRNKSOpvq/cudU5lADlJCQIusLt9Famtfl45hdY1BtDdedexKXHzGVlNvqAkRl790gWrsbhrB+S4nP3PIMV9w5l9YuahP0dZboGmMAGDKsETxBgXSgSLncPdC0CFa0l9gydBSh7xM8/1CSoRpjetYlwK3x7b8Ah8e3lwOjK44bRee05iqq+nNVna6q0wcPHtxtgVZqfWM1Xs22FeWD1jyr7u0zhah3KzJuBtQMiPo+lZNcV245JNHamX/8B9pmo4c9QUTIpSbQkDoRcNWth6oKVEGoyubi4zQVnkDVpst2F88J50wcyw3vPolDRgzc5mqihp2jupWtiB59bR3n/mImz6/YlEjcuytLdI0xAGQy8VV2EdRJfNIRTysLIVMj1E7aGwkDglm3U5r5x2QDNsb0lJXACfHtk4GF8e07gI/E1ZePBJpUdbfpQ5YZ0FC9FrTME7KD+/V8QAbx0shx/wa1g+IdcUGqiuUy+O3o3F8kFmNflEuNZWD23QgZoLr1UKid0zRUoaU0jzXttxGGNnrYnYbV13LNWUfx76ccTE26cxZEGG79mlYuYQ55P+Srdz6Pb/3CO1iia4wBoKEhy5Bh9R2YLi/wAAAgAElEQVSfV76WlvLwzOJ2avceihu/N/hFgsduQVttXYgxvYmI/Al4EpgoIstF5OPAJ4HvicjzwH8TVVgGuBtYDCwCfgFcnkDI2zX4uIOjEd04mfJS8eZgzT2Ps/mFhW/+IGaXk2wjMu2T4GU6L6ZCxZpdoGUF4bzfoWon7D0l5RoZlHsPKQZ17KtspasKIRCiFMONrGz7I8Vgfc8H2secOG4Ef/3wDGZMGE5USKXrVkRlfhDy4qqmHo1xd2aJrjGmw5SpwzpeNyvLUYQCK+bAi83QMnEyGzSHrxDMfyypUI0x3UBVL1LV4aqaVtVRqnqDqj6mqoeq6kGqeoSqzomPVVX9rKqOV9UDVHV20vFXcimP4277LjUjBuGlJO5XKQhQWLORJ957BX5rPukw+yQZMA72v5DOlkNdJLurZ6OvP5hUiH2SJ7UMzJ1LtqMic6Sc5EYFkYRQwdc8K9tuo7W0JIlQ+5RcyuPKkw/m+ncfyV51GboujxARiaYym4glusaYDgpIGtQRvY46UE9AhXwzBISU+g/Cx6PJ9yje/UtKc+5POGpjjOla46S9mfiFC/Ey6W3u0yBg1d12sS4pbu8TYOwp0Xpd2DbZ1QBeuxPduCC5IPsgkRQDcqdTnzqMcppQOXW5MoVSVda0P8j69sd7Osw+adKQ/tx6yUl8ZPo+Va2IKilw4PD+PRvYbswSXWNMh+HDG0GjkwwPOlsMAZs3OV5vy+PV1+BNm4KP0OqDf+d1aPuWJMM2xpjtKqzb3GU7obDoU1hnyy+SJBPOgdqh1Ulu+WPcYkXnXo82L9vuY5ju0ZCZxsDs6URFqiKVCa8fEs3sUmVT8SXeaLmVILQZEt1NRLjsqAnc9rHj2W9wPWkv+j+T8RzZlOM/zjiATMrSuzL7SRhjOjQ0ZBk2vBElKn4JnW9sbZth0euKn1ZSB+0PvtJGmqIKwUt2NdcYs3sadNQBeHW5js+lXGsvDChtbEKtcEtiJJVDjrkSsgMqdlaMVAmgPvriDWixpcfj6+tyqTEMqXk3nuSonC7bWaCqcypze7CRJS1/od1fk1C0fctedVl+fdGRfP+8aXzo0L35xJHjuPmSYzhmn56par+nsETXGFOlpi5D6KI2Q4RRs4HAi84Mm9YIzX5ITUM26gaBkveV0u0/wX/+kWQDN8aYLgw+/hD6H7wfXi4T1T6iPFioLP31Hcz72k+SDrFPE+chB1wCrmJ6ebmQbHm9bmEj+sw1qG8jhj0t7QYxvObDpF1nkaryet3qhBf8sMDSljvZVHg5kVj7GhHh0NEDufzY/fjQ9H0YXJ978y/qYyzRNcZUGTCgBpdxhCmH8xxOojOOsCSUfGXZFp+GrDL0gmMYQJ5GChD4lG79Idpqlf6MMbsXcY6j/vRtBh97EOKkasAwaC+w/Ob7ya/ekFyABhk4AQ79fOd6Xaiexuwc+FvQhbdYJeYEOOcYVnM+jekDurhXOtbuRpuyqvVx3mi5135XJnGW6Bpjquw/aXDHBCUF/Hh016my8lnH/M0lCkFAavxoXP96CqFHoEJRBf+FmQlGbowxXXOZNGGhWN0vpeK+5vmvJRCVqeQGjIcxJ4JLVex0nZsA655DX/5dUiH2aSIeA3NHMSh7Ai5ObqG6QJVqtG7XBzaXVvBK019o9zcmFbIxlugaY6rV1mbo178GJZqe1HFaKBBsgUIzLG8LAGgbMowmsmwix2bfI/9/v6Q026owG2N2P3XjRkZNdCuIQNhe6DIBNj1PJpwPI46qaDMkW63ZVdj4IuGaZ5ILso9ryExkdP37cZKmct2uxglueSozQCncwmstd1IK2xOI1JiEE10RuUZEXhGRF0TkNhHpsh62iJwhIq+KyCIRuaKn4zSmr8nm0uAEV14n5YTAuY4qi3kNIeXR/8SDcClHGF/dbQ49Sn/7CeGGlUk/BWOMqTL2E+d3tBnqzKEEwpC5n/kOGx6fm3CERsQhEy+MKzFXTmMubxJlVIv+QrjqiaTC7PMyXiP7NHyAWm9Ex77OS0XVbW9UQzbkX+mx2IyplPSI7gPAVFU9EFgAfG3rA0TEA34CnAnsD1wkIvv3aJTG9DEnn7APzlVfTVdAxbFuieOZDUWCUPEa6+g/ZRSqIKqU8GgNwH/GRnWNMbuXhgljmP7rb5KqyyEiUZIbC9oLvPDP30dtZDdxIoJM+zzU7LX1HfFHgBCW/I2w1Sr8JsVzOUbVn8nA7IE7PE4JKASbeigqY6olmuiq6v2q6sefzgJGdXHY4cAiVV2sqkXgJuC8norRmL7o9Bn7okQVlyX+CBAIrHxOKJSERc0BkklTM3lvarSEIghKm6Zof+QWSo/8JcmnYIwx29jr+Gmk+9V3eV9xQxP5Vet7OCLTFck0Iod8AbxsRZlstprOrPDCD9HmJUmG2qeJCENqD2dM/VkIHluP5gIIHrUpa3ljkpH0iG6ljwH3dLF/JFDZKXx5vK9LInKZiMwWkdnr1q3bxSEa03eoE9RFS6LURRsi+O3R9OXmAtGo7phhNDSkqaHEANrJaQkv9Ck98HuCRc8n/TSMMaZKqr6mekecN6lfgsCqxO4uJNOATP0ESFycqjLZ7fgYoK/+Bi3ZGtAk1aVHsF//i8i6flQnu4KTNAOz+yUVmunjuj3RFZEHRWReF9t5FcdcSbSG/Q9dPUQX+7Y7t0hVf66q01V1+uDBdgXJmLcjm0kxdEg9iOCckFZIx//rQhXyrbBgS5H2IiCO7NnH0qAFUhrSQDF6YSkVKP3jrwk+C2OM2dbeHz0PV5MFomWgIuWPwqzz/on25TYddnch/feFqZ/cNtl10S9OnIMgDy9cgxZsemySUi7HhH7nMzh3AJ7kcKTplxnLhMbz8Fw26fBMH9Xtia6qzlDVqV1stwOIyCXAOcDF2vXimOXA6IrPRwFW6caYbnbxe6N+edH0ZTpu+05YNd+jXWFVW4B4DjduJLioefxmzdFKmo3kaHtpDoVbfoSGNkpijNk9jPnwWYw4/0ScJ9VFfcOQ4uYWXvnPnycan6nm+k+Avc+g453IRaeu5TXW4gSCdlj4ezQsJRSlAXCSYnjtYUwZcDFTB36EvetPJuN1vVTAmJ6QdNXlM4CvAu9S1bbtHPYMMEFE9hGRDPAB4I6eitGYvqquIUuqNoMK+AJFTwg9QXFsXO7IpJTmkpL3iUZ+hw/ueEFpJUNJHc1hmuLT91N69LYkn4oxxnQQ55h61ee7ni8WhKx/ZHaPx2R2zI06CcacDuIBnUlu1TTmtlUw/1o0yCcUpTFmd5P0Gt1rgQbgARGZKyLXA4jICBG5GyAuVvU54D7gZeBmVZ2fVMDG9BWDB9YSqhJ6XrxFU8UUKJUgFFhVCMk4RYDsRaejqRSN5BENQEFDaC6B/8gtST8dY4zpJIKkvKpdzsWbKH7L9q69m6TIqJNgwP50XKHYus+uEyhsgCV/RTVILE5jzO4j6arL+6rqaFU9ON4+He9fqapnVRx3t6rup6rjVfXbyUVsTN8xfEg948ZEra0rBz5UYHOTo3m9sCIfsj6vgEImizdhDBKGNAb5jqIuRVK0Nm0m/7Mr0fbWnn8ixhizFXGOYWcfh6RTiIDnRfmScwIa8tTZl1Pa3JJ0mKaCiIeb9BGk/yS2OX2tbD3U9DIs+JUlu8aYxEd0jTG7scMOGdFx/hCnswCECqsWeaQ9WN6qtBQAUbyJ+0CgZDSgjiIOJaUBhdAjePVZCr/9TkLPxBhjqk3+z8up32/veK1uRV/dIKSwbhNLf3lrsgGaru37fsjttZ2WQ0TJbtsyWHYXqlYfwpi+zBJdY8x21WRTpDLeVt0CBBSKPriU0lwKaSsKqkpq/9G48VHtuDpKDNJW+tNOf82DXyJ4dQ7aYpUxjTHJS/er54Af/AteLrPNfVosse7+JxKIyrwZSdXAgV+C7KCt7ihvcY/dDbNhyZ8TiNAYs7uwRNcYs11HHjICVUAEL2426RQUYemiFCkPFraFlIKQ9pIiouQ++B7I1IAqoiAhtJEmQMj7IW0//lfCtcuTfmrGGEO6oa66YWG51ZCDoHkLxQ2bE4vNbJ+IwMSPQqquomw21et1PYEtr6Ir77eRXWP6KEt0jTHbNah/DRP3HQhEF8pTGr9oCOTbhU2rHPU1yvpSSFsxPltM5UkdchLggYKPo1UybJBamshRXPUGbd//J7RYSOhZGWNMJDdiCPWT9wHPVcyAjaYxl5qamX3BP+FvscJUuyPJDoSDvgIuWz3ryHMV05mBDbNg+Z1JhWmMSZAlusaYHcpkUoQuKkKlAqGLTgQVaG8VxIN0JiAMIV9SCIukTz8McrUgjjQhdVqMRoYVmsgRlor4c/+R9FMzxmxFRH4lImtFZN5W+z8vIq+KyHwRubpi/9dEZFF83+k9H/E7d+BP/52aUUMRV7FOFyAIKTW1sPq2h5ILzuyQuDRM/ESc7Fau061cv6vQNBdd/SCquv0HM8b0OpboGmN26NApQ8lkPHCC7wm+i04gAl/YvDm6vbgAQVieGhYgsoyar16LjJqAKtRqiWzoAxAiNOdD8rdcj//ys0k8JWPM9t0InFG5Q0ROAs4DDlTVKcD/xPv3J+ptPyX+mp+KSHXPnj1Aduggxn3xQ7hcdpv7wvYCm55+MYGozM6S2uEw5YsgqW2T3cqR3Y2zYPX9icZqjOlZlugaY3ZoxlF7d4zgSnwxvFyB+YXZGUTBV1jvQ8HvXAcl9Y7MWR+J1+tCAwVcvBiuICnaWlpo/ek38F+zttjG7C5U9VFg41a7PwNcpaqF+Ji18f7zgJtUtaCqS4BFwOE9FuwulBsZjeiWOYk3B81PPc+WV5ckGJ15M5JugH0vAZeK3py6SnhR2PQMuupeG9k1po+wRNcYs0M1uRTZmlR07kB0DhHEU5n9ANq2COoUdUp7SWgvARpA23N4k6bhBo+EVBoH9NM8/cN2arREWkMoFcjf8ZtEn58x5k3tBxwnIk+JyEwROSzePxJYVnHc8njfNkTkMhGZLSKz161b183hvnX9pk0mO2II4jncVgOBQfMWXvjwFQTt+aTDNDsg9WNh38uiZLdj51bJrgOan4N1Nh3dmL7AEl1jzJsaMrC2Y4hD47NAhxAEUAoUBdaqogrN7URXy4PN4C+l5ks/IHXE6SiQ0pCUhtQFRcL45SdY+ALFpx6yK+zG7L5SwADgSOBfgZslWswqXRzb5X9kVf25qk5X1emDBw/uvkjfJhHhkN/+N7VjR3T5rEI/YP2DT/Z8YOYtkZqhMPaiaBpz+S+xnOx6LhqiF4XNz6Cr77D3HWN6OUt0jTFv6qIzJ1Z1cIB4dNcJc56J1rW1ozQF0UlDe1EBHwqLkWwN2fdeTuhyhIGgodBGmk1SwzqppTVwtP3+f8nfdkPPPiljzM5aDtyqkaeBENgr3j+64rhRwMoE4tslMnsNYPCpR2/TNtx5QDHPlpcWJRWaeQukfjyM/Uj8i4t58elu5VD9lgXQbOuvjenNLNE1xrypaZOHErpona4rr9MVAOH1xWnQeN1uKgRVWovxqaK/Hg3bkXSG7Iz3QCZKinP4eISEKmyRDKVikcJDtxFuaUrg2Rlj3sTfgJMBRGQ/IAOsB+4APiAiWRHZB5gAPJ1YlLtAv8Om4GpzQJQnOQ+cE0Rg7c13s/ZvDyQcodkZUjca9r44Gtnt2LnV1VotQdOcng3MGNOjLNE1xuwczxF6Ap7gnMR9JwUNIQijIZ5WoDGnhAqFkkJYgOa/A5A991Ky514CzkMUGsJyH12hRbKohhQe+Cvql5J6hsb0eSLyJ+BJYKKILBeRjwO/AsbFLYduAi6JR3fnAzcDLwH3Ap9V1SCp2HeFAcdMo37yeFwm1dFTF+IZLMUSi799PUFbe7JBmp0idWNhzAdgR4XA1e+xeIwxPc8SXWPMm0qnHIfst1fHtC8VoaOZUCisWe0Bwipf8EURlFIIoNGobtCGiJA79UJS00+K++sqDVoEwMfREnjkH7yVlqu+iBYL24nEGNOdVPUiVR2uqmlVHaWqN6hqUVU/pKpTVXWaqv694vhvq+p4VZ2oqvckGfuuIM5x4K+/Te2YYdU9dcs8R8vcl3s+MPO2SN0+MOaS6pHdjjtT0DCl54MyxvQYS3SNMTvlkrMmAdEUZR8oD9uEwLPPZXBEefBaH4SQIAg7jwg2dDxOdsZ7IJUBoAafGi3hVCmSIiwWCVa9QeHRu3voWRljTDWXSVM3cWzVvo4ONe15Vt54K2HeLsbtKaR2BIx8H0gaiEd3JQ3pgdB/eqKxGWO6lyW6xpidEihka1PR2lwBdRC6aGpfU5NHGE9fzivkUkreF4oBoCE0/x0N2wBIjdmX2k9cgdTWo0C9FhmobQwI26IXpGKBwqN3oWG43ViMMaY7Db3wTFxNVFOgPIW5PMLb8txLLP5/P0kyPPMWSe1Y2PsyGHgUNB4IQ8+EMZciLpN0aMaYbmSJrjFmp+w9tJ4gUHCCuM4pzALkC0JrIToJXO4LqZSCKpvaJGrfoCG0d073yxx8DLVfujoa2dWo20OBFJslRzspgtXLabriEoLVyxN6tsaYvqz/kQcz4tJ3I062mcKsxRIb7n+MoLUtoejM2yHpRmTQccjQs5GGKciO1u4aY3oFS3SNMTulribNmUeMATrbTJbHXAu+Y8nrKeJCzKwOBCcASrsvQACl1VWPlxo9Htc4qOLRoIhHi2RpDxzhxnW0/OBK63NojEnEmMsvJj2wf9U+ERAHEga0PPdSQpEZY4zZGZboGmN22rhRjXipKDHtSD8FAl9YvjxKdEOEdoV+uWgVb0tBooOLq9BiZ7IrItR/4f8hjf3BeeTUJxtXwNzisvgKYctmgqULe+4JGmNMhcbpU4mv2iEOKK/V1ZBFX7mKluetMJUxxuyuLNE1xuy0xros6XQKjacvl6cwO+IiVQGAsi4UUg5q01E6XAwUCKH5oaoRWm/4GPpd/UfcsL0hbjkkIYDQJDnCQp7mX36P0iI7mTTG9LzRn/0QriYXjeKWk9xYmC/wxvd+mVxwxhhjdijRRFdErhGRV0TkBRG5TUT6b+e410XkRRGZKyKzezpOY0zk8EmDO070HNUvIIuWZmnNR7dLKqwJhPp0iKiSL7fGDQsQNFU9pngemePPhEwOQeivUY/KUBxtpAmWvc7m715BafGr3frcjDFmazVjR3LAH75HV52GRKDtldcIfevFaowxu6OkR3QfAKaq6oHAAuBrOzj2JFU9WFWtFrwxCcmkPE6aNhLobDPkU66+DEveiNoMhSKsCwURJeUpvpbPEn0ordnmcXPHno43ZARksqRQBgat1IRFMkEACBQLtN7ym555ksYYUyE3dhSurqbj8/LIroggYcgrl/4rgbUbMsaY3U6iia6q3q+q5Uuhs4BRScZjjHlzqZRH4AmhJwROCDwB5wgCIV9wlLsCFcPo5SXrKaUASn5UiZmmf6CljVWPKdkcjVf+L7lzLybEIQo1folAhWL8MlV67WWCzdVfZ4wx3U1EGHbRu3DZzDathgDalyxj7Z/+L8EIjTHGdCXpEd1KHwPu2c59CtwvInNE5LIdPYiIXCYis0Vk9rp163Z5kMb0ddP324tcNhUNacTFWRRFFTY2CS356ASwCcfmQKhJhaDKxnaHhgoE0Pb8No8rmSw1My5AXQYNo2a9rS5Dk6ths+TQQp4N/3wJbQ/d1aPP1xhjRn7qIvqffBRbz2EWAYpF1v/fg8kEZowxZru6PdEVkQdFZF4X23kVx1xJNAPyD9t5mGNUdRpwJvBZETl+e99PVX+uqtNVdfrgwYN36XMxxsAR+w2mf10G6HwBiQZxhXkLayjE/XRV4I0wjUNxRKO5UashhdKGLh9bMhlqTjkHMlkgKk4FUduhfOCgVGLLH36Gv2Zl9z1BY4zZingeoz5zMS4bvfaJQCoFnhdt4erVrL7hpoSjNMYYU6nbE11VnaGqU7vYbgcQkUuAc4CLdTsNM1V1ZfxxLXAbcHh3x22M6ZpzwoDGLGE8sBGP0aISnfCt3ZDqmL5ciP9HD6iJdkSthhRK69G2RV0+ft37PkbNaedDKo2HUh/kQaHF5QgQCEMKTz3avU/SGGO2khs1nOyIoSCC53VOYRaJXtfW/v5WWl+wCvHGGLO7SLrq8hnAV4F3qWrbdo6pE5GG8m3gNGBez0VpjNna0P41UWsh59DOyiwEJcikNW4zBFtwFNSRcpCKexCVAkB9aHqIziX6ncR51F/4UWrf+1FwKXIakCZ6wE2uBgKftgfvJD/7iZ57wsYYA4y/5mukGmq3mcIMoIUCG+54IIGojDHGdCXpNbrXAg3AA3HroOsBRGSEiNwdHzMUeExEngeeBu7S/8/efcfJVZeLH/8833Ombctm0yipQIL0YuhWFEQseMWCekUURRQL93pFxYKNq/eqF/FiudiwYNefIqKggiAWINTQSwoJpCfbZ+a05/fHOTO7m2wKyWZnd/O8X695ZedMe2Yy5Tzn+/0+j+ofGhOuMQbgdc+Zh+fSHT0vO6WDt45FD5XSZBZFgeVaBFUmF2NElHJYm7ghEGxZgbmm+OwTQNKvqElJpZ7shiokG9fT9fX/pvc3P94tz88YY4ZTmjuTOR95V30KMwyqwgx03XATPf+4s3EBGmOMqWt01eUDVHVW1jboSFU9P9v+tKqenv29RFWPyE6HqOqljYzZGAMHz2qntTmfJre1vTzSNkNLVubpr0ia+YqyAQGNccTkXUw1qs15DiBcv9XH8KbvTfOr3gD5AkKa7LbHZdJbC1Sr9P36JyT9fbv1uRpjzGCtxx1d/3vQhJb0azBOWP7RzxN1dTcuQGOMMUDjR3SNMeOUCqiDRJRIlMgBIjiBKBaipHY9HxUfgKKvJArVequhW9Hq1gtLNb/yDUz+xP/ApMm1IWM2uSY2uFKaR/s+4fIndu8TNcaYQfy2Fvb9wHmI72DzGcwCqNJ1498aEZoxxphBLNE1xuyUY/afijhBnBuyXi1JhHLF0Z9VX440YrWftsguuLTVUGe5Ntk5hu5/bvNxcnP2Jz//EMBl06QTEhybXImkv5+NX/g0vdf+iq3UsjPGmBE35RWn0HHGqQN5rqQrLdJR3Yg1X7+K8qNLGhihMcYYS3SNMTvlHS+ej4jUBlpRIFFFRbjxzhZU0+nLIgkrkwogiCi+lwBKX5DtIkYbt/tYTaefCfl0TVx7Uklvpo4KPtrfT8/Pf0Df73894s/RGGO2puO0k5Fi2gotnbqcVWEGtFLlyYs+jcZxY4M0xpg9mCW6xpidMr2tSJKNotaTXQFEWLUuhy8QZutxQ61Sm+M3uZjOae4NXDao249WntzmY+XnH0Tb296HNDUjCO1xGYAuCiSk1U57fvUTG9U1xoya0iELmHTySYjvDdqqIIqIkvT10Xu3NYkwxphGsUTXGLNTRCCf98AJzgk4SVsNAb5TRCDO1ukmGlMuHQr4uIHaVUSJgiaw/ho0G6ndmtJzTmba135CjIeLEwpR2pqox6UjKtrXi/YP26XMGGNGnIgw8+L3UZo/L+2li+IcOJcVjI8DVn3y81SfXNnoUI0xZo9kia4xZqeICC8/at8scR1Yo6tAiMeKdT5xotmWhMeTfsjPBIWppQhB6a9NX0ag//HtP6bv4+8zCxBaNKA1CSglYfbAyurz/5Wea34xws/UmD2HiHxHRNaKyBZDkSLyHyKiIjI1Oy8i8hUReVxE7hORo7e8x4lNROg483SkWEgP4A2uwgwk5TJPX/qlRodpjDF7JEt0jTE77ZwX7E+SrdN1IjgRVCBCuGVxK6pCGKU7fd3hGhJ/CmiCQym4hHIkqAIaQbxjbYLa3nQu5NNR3KJGOJROKRAn2RTmn19N/6037b4nbczEdhVw2uYbRWQWcAoweJ3BS4H52ek84OujEN+YM+nFz6O0YH/Ek8F1+bLVGkqwZCmVJcsaE5wxxuzBLNE1xuy03kpErugTe0LihMhBnM1N7ux1OEm7CNVIaTbUWg3l0guqcXalrtvQYN12H7N4xLPp+MDH8efMQwFVIcBjg9eUnq9W6fnVT3fDszVm4lPVW4DhKsRdBlzEwJJ8gDOA72vqn0C7iOw9CmGOKS6XY+6XP4M/qXVgY5bwStZuaMWFHyFY+VRD4jPGmD2VJbrGmJ2216RSuj8nQiKQUKvCrDhP8JwSxukenwCr4i4o7gc4Cp7iCfRUBUhAA1j/+x163OIRRzPlo/8JXg5fE3KaLgbe4DUBEG/cYNVOjRkhIvJK4ClVvXezi/YFVgw6vzLbNtx9nCcii0Rk0bp12z+gNd6I79H+itOQfG5okptJymXWfPVbjQnOGGP2UJboGmN2Wt53vO25+wED63QTBUXoqXg8vLJAFAtRDIKysu8eko5TAQFN8CUmSZTeanaH4frtFqWqcS2tuKZmYKDlkAL94pOUy6x6x5vpu8WmMBuzK0SkCfgo8InhLh5m27Clz1X1SlVdqKoLp02bNpIhjhlT3nAm+Tmz6mt005ciO2lCedFdVB5/orFBGmPMHsQSXWPMLjl8Vjv5nKvv0gHgIEwcdy9pxgHlqmTFWYRq0pNOX9aEtnwEKH1h7atIoVZcajvEOSad804kW6/bkbUc6pM8Gick3V10fuN/qdx3zwg+W2P2OPsD84B7RWQZMBO4S0T2Ih3BnTXoujOBp0c9wjHClYrMueK/YUi7IYYkviv+7SNUl68Y9vbGGGNGliW6xphdEiUJvu/Ak/qplvAmmpYeTTQd+Ik1RPCg+VDAww0aD4piTdfqrvoxmlS3eJzhNJ30fKZ8+BLyzzoEh9ISB6AQZOuANbD1usbsClVdrKrTVXWuqs4lTW6PVtXVwDXA2Vn15eOBLlVd1ch4G83lckw65WQkl34HyWZj3hpU2fCDHzUgMmOM2fNYomuM2SWH7dte/7u2U1dbp7ux38d36blEFQGW9qH/QL0AACAASURBVNwMk46H/AxQmFIMQZVy5NKeunEPdN+1w49fOPRI2t/5PiRfopjEdMRlCjqwPjdas3rXn6QxewgR+THwD+BAEVkpIudu4+rXAUuAx4FvAu8ehRDHvOnvfjuF/eZtWYE5K0zVd+vf6b7x5gZFZ4wxew5LdI0xuyTvO973ovlbbFeErn6Px1YXACWOwYlSjjrpj7uh/XmAhy9Zq6Gg1moohr7HnlEM/rQZ9b+HfKk5R/7Ag3bmaRmzR1LVN6jq3qqaU9WZqvrtzS6fq6rrs79VVS9Q1f1V9TBVXdSYqMcWVyoy83OXgJ+O6g4uTlWrwrz2y1dQXfbkVu/DGGPMrrNE1xizy8Q5cnkHIjgn4NJ+ukHseHx1EU8giGo9JoUg6QWvRG3st5RLULJWQwAaoTpsTZvhHz+fp+11b0IKhUEbJd3+2jeO1NM0xpgd4rW10nby8zabwqwgijiFqMKG7171jL7njDHGPDOW6Bpjdll7KYfnHLiszZCmKaygFHIJhZzW1+kmhCQaIfkp4E8GJG015LKiVKoQbIQ1v31GMbS+8tVMvuDf8OfMw7VNorjwOKZ/7jJy+84c+SdsjDHbMePCCygddUQ9yRUHrnYSqNx1J+uv+GqjwzTGmAnLEl1jzC47cb8p5LLKUrrZ6d4nm/CcpvlrlG5d0fs3oqQKe50JXgsoFFxCFENf4NLpy/2PodW1zyiOphOfy15fuoJ9vvMjpn7o4+RmzR7hZ2qMMTtGcjn2+vf3ILlcel4GF6dSSGJ6b7yRYNmyRoVojDETmiW6xphdlvcdZ58wp15vBdKBWXFCX+Dx2OoioPRVXP1LZ1N1KeK3QfEAUKXZT0ChPxxUwaWycnSfiDHGjCB/yhTaX/MqXG5wyyGtF6fSKGDNf15K3NnZqBCNMWbCaniiKyKfEZH7ROQeEblBRPbZyvXeIiKPZae3jHacxphtK4cxeOB8QTzSk4MwFtZ25/DSpbuIQEJMrFkLoVwLtVZDk4sxk4u1iskOvKZGPR1jjBkRU895M62nvAhxQi3JrY3uChCtWcPqT17S6DCNMWbCaXiiC3xBVQ9X1SOBa4FPbH4FEekALgGOA44FLhGRyaMbpjFmW+ZOaaY579V33tLioumU5aZ8XG8zFMUASjXuTm/YeliaEQN5T/Fr30riQdMBo/wsjDFm5HX86xvTKcwyzIWaEC5bSt/f/zbqcRljzETW8ERXVbsHnW2mVoZ1qJcAf1TVjaq6CfgjcNpoxGeM2TEvnD+NUj6dnjd4HZoCf7h/EqVC+tEOs8rKm6pL6AlXIX4L7H0muCaQXHryJ8E+b0CcP/pPxBhjRpg/ZQrTP/IhxLmB78fsiGDacihh3f98kf677mxglMYYM7E0PNEFEJFLRWQF8CaGGdEF9gVWDDq/MttmjBkjCr7HCxdMzabkKS4bwRUH/YFjydoCnlOCUNJBDYnZUHk0vU5pDsy9APZ9E8w8G2a/EylMa9yTMcaYEdZ87LG0v+GstL/uoN66KYUwYMPll1nLIWOMGSGjkuiKyJ9E5P5hTmcAqOpHVXUWcDXwnuHuYphtw/4SiMh5IrJIRBatW7du5J6EMWa7eqoR4hTnCc4TPF/qO3LdFY9STsn5Wt+WaFi/rYhDCjOQ/FREhvvIG2PM+Nb2ilfitbUNjOSSHhSstR3Snk2s+8wn0DDc3l0ZY4zZjlFJdFX1xap66DCn32x21R8BZw5zFyuBWYPOzwSe3spjXamqC1V14bRpNiJkzGg6dnYHRd/brI0GxCrsNy2gmIeWYnqMyuEzubBfgyI1xpjR57W0sO/lX8G1tAAD35ODi1NVH7ifrp9e3bggjTFmgmj41GURmT/o7CuBh4e52vXAqSIyOStCdWq2zRgzhpzyrL2Y0VYg7w18tRR9x8kLWpjeqtQmZzh8mnMzaM/PbUygxhjTIF57O5Pfcg6Sz29xUBCAMKDvht83JDZjjJlIxkKll8+LyIFAAiwHzgcQkYXA+ar6dlXdKCKfAe7IbvNpVd3YmHCNMVtT9D2+c9ax/Piu5fzp0bWUch6vPXImLz1ob6rxQWyoPkqsAZPys2nLzUSk4cfajDFm1LWe8hKCJUvpv+HaYS9PqtVRjsgYYyaehie6qjrcVGVUdRHw9kHnvwN8Z7TiMsbsnOaCz9tP2J+3n7D/kO1Fv519/WMbFJUxxowdIsLU89/F6sceJFy6ZPMLKR56eGMCM8aYCcSGU4wxxhhjGqDjgguRYjGtxAyQyyGlJtrfdl5jAzPGmAmg4SO6xhhjjDF7ovx++7PX5V+n53e/JVy+lPwBC2h96cvxOjoaHZoxxox7lugaY4wxxjSIP206k885t9FhGGPMhGNTl40xxhhjjDHGTCiW6BpjjDHGGGOMmVAs0TXGGGOMMcYYM6FYomuMMcYYY4wxZkIRVW10DLuNiKwDlo/w3U4F1o/wfY6G8Ro3jN/YLe7RNV7jhvEb+54W9xxVnTbSwexpRvi3eU97DzaaxT16xmPMYHGPNot7G7/NEzrR3R1EZJGqLmx0HM/UeI0bxm/sFvfoGq9xw/iN3eI2jTZe/y8t7tE1HuMejzGDxT3aLO5ts6nLxhhjjDHGGGMmFEt0jTHGGGOMMcZMKJboPnNXNjqAnTRe44bxG7vFPbrGa9wwfmO3uE2jjdf/S4t7dI3HuMdjzGBxjzaLextsja4xxhhjjDHGmAnFRnSN2QOIyJdE5EER+d9Gx2KMMcZMZCLyThFRETlo0LaHRGRu46IyZs/jNzoAY8zuJSL7ASep6sGNjsUYY4zZAxwO3AO8DHhIRArADEa+5aUxZhtsRNeYCUxEDgRuBuaIyN0i0tzomIwxxpgJ7jDg86SJLsAhwENq6wWNGVWW6BozganqI8D3gI+r6lGq2tfomIwxxpgJ7mDgGmC6iEwiTXwXNzYkY/Y8lugaM/EdBtzb6CCMMcaYiU5EZgEbVLUM/BF4CelU5vtG+HHOEZGXj+R9GjPR2BpdYya+Q4AHROQc4IVAGVgF5IBDgdcB84E3ka4h+hawFzALeAA4TlX/c/TDNsYYY8adwxkYvb2O9Ld1b+DXIvJG4AVAD3AxcABDf3sPZOu/02/MLnsQiIH1ACIyB/gAIMATwNrBj6Gq1d34XI0Z02xE15gJTERagVBV+7NN16vq+cDzVPVjwO2kiXAVKAJrgDer6v8DFgDnA/81+pEbY4wx49Lgaco3A89lIPmdSTqy++UsAR3y25vdZmu/0wB/VNX/AhYysA//btLEeEP22Js/hjF7LEt0jZnYDgXuH3S+O/t3XfZvABSA9wNfBv4PaBIRAdqBBJv5YYwxxuyoeqKbJZqLgUBVO1X1v4G/Al8Qkfls9tub3X5rv9Mw8HucA2qFrRxwtap+UlXPHeYxjNlj2Q6sMROYqv4DeO0OXPUm4EOkR5Uh/fH9MbAa+Axw0W4J0BhjjJlAVPVNm50/o/a3iJxHulQoIR2B3fy3d3tOFZHDSUd5a4nuFcB/isgq0unKqzZ7DGP2WGKVzo0xxhhjjBm7sjob61X12kbHYsx4YYmuMcYYY4wxxpgJxdboGmOMMcYYY4yZUCzRNcYYY4wxxhgzoViia4wxxhhjjDFmQrFE1xhjjDHGGGPMhGKJrjHGGGOMMcaYCcUSXWOMMcYYY4wxE4olusYYY4wxxhhjJhRLdI0xxhhjjDHGTCiW6BpjjDHGGGOMmVAs0TXGGGOMMcYYM6FYomuMMcYYY4wxZkKxRNcYY4wxxhhjzIRiia4xxhhjjDHGmAnFEl1jjDHGGGOMMROKJbrGGGOMMcYYYyYUS3SNMcYYY4wxxkwolugaY4wxxhhjjJlQLNE1xhhjjDHGGDOhWKJrjDHGGGOMMWZCsUTXGGOMMcYYY8yEYomuMcYYY4wxxpgJxRJdY4wxxhhjjDETiiW6xhhjjDHGGGMmFL/RAexOU6dO1blz5zY6DGPGjw0b0n+nTGlsHMaMQXfeeed6VZ3W6DjGO/ttNsYYM1K29ds8oRPduXPnsmjRokaHYcz4cdVV6b/nnNPIKIwZk0RkeaNjGA0i4gGLgKdU9eUiMg/4CdAB3AW8WVUDESkA3weeDWwAXq+qy7Z3//bbbIwxZqRs67fZpi4bY4wxZrD3Aw8NOv9fwGWqOh/YBJybbT8X2KSqBwCXZdczxhhjxgRLdI0xxhgDgIjMBF4GfCs7L8DJwC+yq3wPeFX29xnZebLLX5Rd3xhjjGk4S3SNMcYYU/Nl4CIgyc5PATpVNcrOrwT2zf7eF1gBkF3elV3fGGOMaThLdI0xxhiDiLwcWKuqdw7ePMxVdQcu2/y+zxORRSKyaN26dbsYaSoOQh78319xzTHv4rfHXcAjV15LEsUjct/GGGPGvwldjMoYY4wxO+wk4JUicjpQBNpIR3jbRcTPRm1nAk9n118JzAJWiogPTAI2DnfHqnolcCXAwoULh02GnwlNEm54yYdYd8fDxP1VADofWMaK627jRf/v09gMamOMMTaia4wxxhhU9SOqOlNV5wJnATeq6puAm4DXZFd7C/Cb7O9rsvNkl9+oqrucxO6Ip/90F+vvfKSe5AJE/RVW/fku1t/xyGiEYIwxZoyzEd0dUI1Dbl29mAc3LUcEDpu8HyfudQg5Zy+fMbuLagzr/wkb7gANofVAmHEykmtpdGjG7Gk+BPxERD4L3A18O9v+beAHIvI46UjuWaMV0Opb7iXqrWyxPamGrPrLvUw79lmjFYoxxpgxyjK17Ug04QeP3cDGag+xprU5blv3EMt6V3P2/FNtepQxu8uKX0H3o2mSC7DpHuh5DF1wAeIVGxubMROcqv4F+Ev29xLg2GGuUwFeO6qBZUp7TcEr5YnLAQD1n+Ik4YEv/ITZrzie9oPmNCI0Y4wxY4RNXd6Ox7ueojPoqye5ALEmrKt0sbx3TQMjM2bsu/fpjZz/y7/zkm/ewBt/dDPXP/IUAGHcw9N9N/F41w9Z0v0zNlUeZPCMR62uh+5HBpJcABKIemDlb9FBn8eRFK5Zy4arf8a6b15F/733M0qzMI0xz9B+Z70Q8TwgTXJFpH7gOejs5U+nfxhNds/3hDHGmPHBRnS3Y1X/RsIkqp+PY6gGgu9ilnauZ6/iNHwn+J4dMzBmsMWrNnHRdYuoRunO5tPdZS7764N0V/o5cu4/STRdWxdrhXWV2wmSTmY0nZjeuLwKxA1fv7X7QViuMPd1Ixpv9823suYLX0bjBKKIzmuuo/nYZ7P3Rz+IOPt8GzOWFKdO4tTff54bTr2IpBoMvVCV6qZe1t32MNNPOLgxARpjjGm4cbP3JiJFEbldRO4VkQdE5FOj8biTCs3kxBsUSLbvrT45LdJVDtnQFxBkO/NBlNBXjahGMUlio0Fmz/XN2x+tJ7m1kdFKFPPN258gjMNse3pdJaIzeIgg7k435Nrr95MoVCJhU9VLP1OaQNeD6KbFIxZrUi6z5guXo9UAovTAllYq9N1+J52/+R1xT++IPZYxZmTMOOlQZjz3sCHbxKWnpFzmie/9wWZlGGPMHmzcJLpAFThZVY8AjgROE5Hjd/eDHtQ+B88NJLqeg2JOyXse89r2xonQlPfIedmUqTihtxrR2R+yrrfK2p4Km/qC+o9tkqj98Jo9wtKNaXKoqsQx9QM/Qazc9FgJgI29ju5ybXGdsqrv9+m05KaZ9WS3N/ToCnyC2NEV+GhCmuwu/yW64Z4RibX/3vvr0yAD8ej18sQIWqmw7hvf5onXncOq//oySRBu556MMaNpzqufi9dUALIkVwbW6y79yZ+599Pfa2B0xhhjGmncJLqaqg2r5LLTbs8YC16ON88/hRmlyXjicOKY1TaFdx52Cu2lAqpKfxDXR65aCj7TWgq0N+VoKfgUfA+F+tqhnmrE2p4q63urdPWH9dFfYyaafdpKW73sdw+01f8OIyH9CCiR9tATPpp+XvY7G/IdqIIjoS0XEURCT5gdeNIYVvwaDXp2OVYZtPSg6jyqzicShyponKBhSM8tf2Pt17+9jXsxxoy2A84+lUkHzsb5wua1IeNylYcu/wVxJRj+xsYYYya0cZPoAoiIJyL3AGuBP6rqbaPxuFOLk3jbgS/lPYf8C+875F94y4KX0FFspbngM7WlQCnvkc92lONEEYGC79Fc8JlUytHRnK/fVzHnaMp7+E7qo789lYE1wD2VkO5KSDmICaLERn/NuPW2Y+YPs7U2hVm4bXmWCAt4ThFAJGFj5W9ESR/it8B+bwU8BCh5Cc25mHIk9IbZV1cSw/1fQvtX71KspSMOB6mHA0BB0wNQgTgSQKsBXdf+gSfe8m7Wf+/HxP39u/SYxphd5xXznH7r5eRam4Zsr43sJkHImr/e16DojDHGNNK4SnRVNVbVI4GZwLEicujm1xGR80RkkYgsWrdu3Yg+fpNfoOQXhmxzTmgr5nAu3T2urdmthMOP0hZ8j9ZijvamPNNaC+nobylXvzxOlEoQ010J2dQfsLanSld5YLpkNYqJYqskaca+42ZPY0pTbeJFekqyA0EAv7qvDVBKuQQnkM3+R4nZWP0HAJJrhTmvBzxQpcWPKXkJA5MgFOIAHr96lw4KuXyOfS75CFIsQqGIU01Hc4Fer0CnXyIQD02UcMVTbPjxL1l+wUUkgY0UGdNoXiHPlKMHDqzVvmNEBOKEW876JOvveLhB0RljjGmUcZXo1qhqJ2l/v9OGuexKVV2oqgunTZs26rE1F9JplV3lkI19AeF2klK3WcXm9qY809uKTGnOM6mUo7ng10eLVZXO/jSRXttdYWNfQFc5tKnPZsx6z0kHI6JDphTWWgP1Vh0ru/M059OksrNfqH1c+qMllKMVAEjzbJh5Bkia7Lb6Ee2FeKCSFUB1Ayz+MhqVdzrWpqOOYL+ffJdp551Dbp99QARBaIurOJQev0CPl09Hd4OQcPUaVn3hCrr+fCtJtbrTj2uM2XVHXHIOXqmwRashgLi/yp0XfaOB0RljjGmEcZPoisg0EWnP/i4BLwbG3CHagu8xtaVAa9EnShI2bmN0d1t8z1HMebQUfEr5Wq9AYXJTnrZijmK2LR3hTXf440RZ11Olsz+gpxJSCW301zTWC/ffm0mlHL6veJ4ikia1tW49v7y/Fd9TnCiJQl/F1ZPiDdW/oKoU847W6c+C6c8FQFBQJU5gY78jTCRNesvrYMmvdiler7mZfV76IhZ85H3p6K5z+KpMiioUo5BAPDpzpfpU5u4//5Wnv3AFj7z6XMqPLdmlxzbG7LzpJx7K8392yZAEF8Dz0tOmOx8i2LTr6/mNMcaMH+Mm0QX2Bm4SkfuAO0jX6F7b4Ji2qinvM7W5QHPBp+CnL3MY7/qa27zvKOU92orp2t/prUWa8gNVofOeI0rSAlmbT6OOYmt9ZEbf2489EM+T7JStm0sU5ymb+j3ufqqA76CloEQJVMN0nWyiZbqCv1HwPYo5D9n7ZJhyHCTpdESShFiFzqpHeqwnQTctJnnsx6ju/CwHzwktB8xjzle/ROsLnoM3pQMRR1McMimqUIpDHGlunSQJSX+FpKeXFRd/jmD9RtRmWBjTEPuccgx+S7r2XwR8P/3XOcGhXH/CO6lu6GpwlMYYY0bLuEl0VfU+VT1KVQ9X1UNV9dONjml7nBNaCn79CHNnf8j63oByMLI7wrX795wwqSnH1JYC01sLdDSno785r5Zo67Ctj+Is6VW11kdm5J22YBalnKCq9ZFcsunMcQw/u68NESjlFd+DvqrLSlYp5fhBKuGmgZkJM18CzTNBFQ+lPReiCpuqPomSZp8b70efummn462EMZUwpjB7Jvtc/AH2/9G38Do6QARflVKSFo8LxbHRK1HN2o+Fa9bx6GvO48HT/5V1P/mNfZaMGWUiwoHnn4FXzGcH1YZOYa6u7+Lhy3/ewAiNMcaMpnGT6E4Ek0o5PCd0V0I29FZ369paESHnpaO/XlYoq5T3tmh9lKjWq8z2BfEWrY92Ztq1MZs746B5eL7i55R8QUlb1qbJblfZZ/HqAgK0FtKEthLWvpyUJ7uuo7M/XQMrLgfPOi/ts6uQk4T2fEiisKnqpct2NYIVfyRZ/vudSjbLQUz/oINR4nnMvuxSCvvNQQp5EEkfJ1Y8VXq9At1+gUhBw5Ckr58137yaTb/78669aMaYZ+zwS85hn9OOhc2mMIukn89lP7qBuGxr6o0xZk9gie4oyvuOjqzIVKLpCG8Qje4aWudkSOujKS2FesXovOdoLvhDWh91D6r43FeNrPWR2SmnL5hN0RdAca62XhdE0mrMP1s8CYCcr7Q3xbTklextSUKZcvxA/b5EBOa/AfwmFMg7pc0PUYSBT5PCU39B197xjGNVBloM1eT32Yt537yced+9gslnvQb1CngKk6IqzXFAJI6uXJF+L62grpUqT33xGzz0mney4vNfJVgzshXgjTHDc77Hwi+8C6+QfhZrbYZqp3BjFzed9m8kQbidezLGGDPeWaLbAMWcx9SWdFpxPlu/OxbWzeZ9R0vBH9L6aPKgHsDRMK2PNvUNtFcJosSKX5lhec7xmkP3wznqJ8kmKCPQWXbcv6aAL1D0wXOQpDWnEKAvupcwWV+/Pyl0wBEfBL8ZVaXgKVMKYdqiSLMbJhE89lOSlbeM2PPI7zWDaW95PaVnHYCUigAU4ohJQT+5KEYGHfzRICR4ajUbr/0zj559IcHa9Vu7W2PMCGqaOZ3JRy1AsmU7QwZ3E6XnsZWs+H83NyY4Y4wxo8YS3QYRkXo1ZVWlqxyyvq9KfxCNmZFS56S+vhfSqdfT24pMbSkMtD7yBy6vFb8a3PrIpj6bmjMPPoBCNqoLShwzMKorys8emAxkxaoUNvU5+qqD3l/Vm4Z8NsQvIgveDC5HLWdGla7Ap6vi6udZdi3Junt3OE5V3XzW4xAun2Pu5Z9h1if/g47XvgLX3IQk0BIH9fW7VefR4xeISRcix31llnzwUpZ++its/NOtVrDKjEkiUhSR20XkXhF5QEQ+lW2/SkSWisg92enIbLuIyFdE5HERuU9Ejm7sMxhw0g8/QdPMaUM+yyIgDpJKhUcu/xlxxfpgG2PMRGaJ7hhQaxuUc46eSjSkUvJY5Dmptz5qLvj17e1NuXrrIyEdpQ4GjfCu77XWR3uiWm7qOcfrDz0gG9FV/Bz1Hruep/RUExY93QYIToRSTqiEjiBO91RjuuiNbh9y39I6Fw67MNt7TSsxexpRSRzdQVaNPIngoe+RrPjLiD0n8TxaT1jI3u89l30+/J507e4giQqBOLry6XRmjWMqjyxhwzV/YtmnvsLD7/iwTZ00Y1EVOFlVjwCOBE4TkeOzyz6oqkdmp3uybS8F5men84Cvj3rEW1GcPpmFX7kQrymdeSEOGNRjt/fxFdx65kfGzIFlY4wxI88S3TEi5zkmZ+t3IR0dDcdZIlgrftVWzDE5a33UmiXCSaLk3Jatj3qrUf1ya300MeV9x/TWAsWcx2sOWUBTXrKWH2kV5jTZVRTl5w82kySCIDQXlNqEglI+fU9U4gcJ4w1D7t+VpsL+ZwEOVGnxY5q9iHLs6A6yAzGqsORaktWLthtve1Oe1mJuh59f+wtOZM7nLqZ00HxcazOKZNOZK+STmLKXoytXoirpk0nKFfofW8ayS69g1fd/Rc+9D9vOthkTNNWbnc1lp229Oc8Avp/d7p9Au4jsvbvj3FHTnnskubam+tzlIT1244TO+x5j/d8XNyg6Y4wxu5slumNMMecxpTlPe9NAW6BKGNdbAI03tR0LN0zro0mlHMVs6nOUDN/6qJbsW+uj8a32PvCd4/WHLsD3Fd9P0qJUKEmS7ouWw5h/PjU3uw20lRQRIYwFyb6uusLrUR06GuqmHQGHnM/QZDemHDt6gto05gge/iHJ49tu/eM5qVcq31Gtxx3FAd/6Iof84Ue0HHcUksvhobREAW1hBdGEwcettFJl43V/YcUV3+eRd3+cR9/7KZIwekaPaczuICKeiNwDrCXtV39bdtGl2fTky0SkkG3bF1gx6OYrs21jgvM9nnfNf5Ob1DSQ5Ap4fnoiCLj/Y18j7O5raJzGGGN2D0t0xyCRtDIypCOd3eW0HVFvdeys390VtdZHxZyHnyXzed/VWx+1FgdaH9VUo2TY1kcT4fWY6OJE6a6E9anqrzpwPqXcoDW0GRFFRfnlw32E8aTsfQJ5X4mTgX6YSkBP8Nct/u/dpHmw/5kgPij1kd2Clww8jiqsuBldev1W4y0H8S61/przmQ/SeuyRSD6HFAr4mtBcqZCP0/ssez7duSKBAlFMUq7Qc9f9PPk/32b1T35H1+332fvaNIyqxqp6JDATOFZEDgU+AjwLOAboAD6UXX24I0LDvnlF5DwRWSQii9atG70q5G0LZnPYJ9+OK6bLCwb31xWB3sdWcNvZl4xaPMYYY0aPJbpjnHNCR3OevO/oq0as7x3b63d3Ra31UVN+oPVRbVTbc7JF66Oucto/FdJRb2t9NDbFiVIOYuLs/8RzjrMPPzSdtpyt1fX99DIRCJOEG5fNQfARHJo4PBn4qhKEQFdQjZ/Y4rHc3sfDwecCUh/ZzUuaYFcjGeizu/Q6kju/isZbrpPtrUZUwp1fNuA1NzHvix/j4F9/m/nf/SLSMWVwPo9TiIHuXJGeXIFIHEmlytqf/Y7lX/oOj7z/Myx+3fuJunu3+hjG7G6q2gn8BThNVVdl05OrwHeBY7OrrQRmDbrZTODprdzflaq6UFUXTps2bTdGvqVZr34BXiGPG26PJ4rpuuthuh9cOqoxGWOM2f0s0R0HfM/R3pRnclMeJ9BdDsftVOadlfOGaX3UlK9PMR2u9dH63mr99mFsrY/GklP3m0dbwc/GgxRxA8NAIvCHpU8RREfUR14Aohh6ygNfWX3RP4iSzi3u23UcCPNfl43sav22nWGOzsDPMYRg9QAAIABJREFUNilseBi950o0Hlp5Vdl21eUd5U+eRGnebOZf/gn89jZccwkp5CkkEZOCMk1RQCyO7lrBqkTRICDpr1BeuoLHP3YZK7/1M1b/7DrCzu5dD8iY7RCRaSLSnv1dAl4MPFxbdyvph/FVwP3ZTa4Bzs6qLx8PdKnqqgaEvk25tmaed+0X8VuK9e8TEXBZb12iiNte/2HKK9c2NlBjjDEjyhLdcSTvO6ZkvW1rCV5vNdojEzjnZEhro5aCv0Xro8Kgy2vVrAe3PioHE3NkfDxwIrz9qCPTCsxZceQ4hiT7L0lU+dFDvfjSQZoNC3HsqIaOvmotC1V6wj+RJFu+/93ex8Gh7wA8UMV3yiQ/IEgcGwM/K3iWwIYH0Zs/hvbvvqmUTQfM5fA/XMV+n/0PZn/ofLwpk0GhGA8kvLk4Tlv/IgTOQ8OIzptv58krrmbZF77Nnae8lc5/3LP9BzNm1+wN3CQi9wF3kK7RvRa4WkQWA4uBqcBns+tfBywBHge+Cbx79EPeMZMOnscB7zozXVJA9q0i9TpVBJt6uPvdn29kiMYYY0aYv/2rmLGmNp03TpT+akR/FUp5j+a8j3uGRXQmmrSQkLfF9taiTxQrYZIQx1qv7lzrZbypL0jb3GS9g/2sIJGMxNDeHk63UrT1hH1nMq1pMZuCCs6la+dqo63OKfetW8P6vueA3ohIRDGvBLHSXxXyHuR9UCr0Rn+mNffiLf6vXMcC9NC3ovd/F+KAoieIBnRFOTZUc0z2Q3xJIOhB//55OPp8pGM+6PALD3eF833an3sMAKV5s3j43R+HOCGpVCnEEWj63Cu+T8XL4WlCPgrJRxFJtrb34QsvpeO05xGs20TH849hxhkn4xUL23pYY54RVb0POGqY7Sdv5foKXLC74xop8976SpZ+97fEUTjkMy4CaELX3Q+z4W/3MuWkIxoVojHGmBFkI7rjmOeEKS0FCjmP/iBmfV+V/mBiFKwaacO1PmpvGmgh45zU15LWWh91Vwaq4Frro5HnOeGDJx6L76WFqNJ1ukqSpImuonz1vkU0ecfiJG051FYE30F3WYiTrL+urqMSD98iRKYeihz9fvCbIFEKLmayqwAwZBlu2Ife/hWSZX/ZvU8aaDnsQI689tvMuvCt7H3u62h61gFotttdikJawiqo0u/n6SqUKHvp+zTuL7PmF9ez8cbbWPL5b3L3ay4k7ivv9niNmSgK09p5/g1X4JUGDhDVizFLuq5/0Vs+waZFDzYoQmOMMSPJEt1xznPCpFKOjuY8OefqfWnN9g0eAawVv5o2qPVRKZeO9sZbaX00uDKvHVzYuoLvMaOtWK8kPtiBU6Zy0LR2PE/xPCWXS1/HJAFxsKFS5v7OhPbigYDUWw4pQjkc+P+rJg9QjZ4c9vGlbTZy9PtA8pAoOadM9auUsmrMUZYwk4TwwI/peOhbNOnuTSD9Sa3MeN3LmHXBm1nwxY+Qa5+EKxUQII/SFlRorVbwk4Sk9j5VJdL076RcpbxiFXed9R/ccvRr+duJ/8rS/72aJNiyuJYxZkDTrBnMOfvlSN7Ppi4PnbmTVAIe+NjXGhihMcaYkWKJ7gSR8xyTm/NMaS4gIqgqXeWw3ofW7JjBrY9qa4A9J8O2PqrltsFWWh/Z6O+2JdkBhAuOPC5dq+vSUV3n0uJUIukI78+fuBfnDsFzbYg4cr5jcjO0FEBw9Z3USvIP4mGKUwFI677Icz4BbXOyqclaT3I3Bjm6I7/+/+nW3Ifc8imSvvWj8joU9pnOkb+7kjkfOJcZr38Z0898Sb0tUUtYpTlKi2VFWeGqrkKJsp8jrkb0P7aMuLefYP0mnvzmL7j//Z+n8vRa1t90O72PDZ/4G7Onm3/hGyjtO31Igitu4NT70BM8/Jkr7QCmMcaMc5boTjCDqxBXo7heeMmSrl0zXOujYjbi64RhWx9F2Wtejfbs1kdRnKSvx2YHXZR0SnhLrsiLZs9FssJU+QJ43kC7oSBK+M6Di2jzT0dIp/HmPHDiUBUq4cA99kZ/IkmqDEcKk5CF74WWfai1H/IlocmLKEceG8M8kQq9sSMod8OfLyZ56Ne750XZjNdUYsZrX8q8i89n3sXn0/HC43DFAjhB8jkUkCihOajikoSKn6OrWKI3VyDJpj0nlYANN93OP170du6/8L+541Xv586zLiLq6R+V52DMeJGb1MJz//x1XCHtrVvrXlYrTiXAyh/9ntW/vblxQRpjjNllVoxqgsp5jqnNBfqCiP4gphrGNBd8mvKeFVgaYb7naPEGjhmpKmGs5LxsDWnW+qjMwFRnzwkdTXmck3oC6HsT87hTrEoljOtTwWtqCb8InH3wUfx99ZNUoii7DDQBz1fiCO5eu4pHOjcwv/1keqM/1e+jtwrlQHBAIQcQ0xfdQEvuVES2LNQkfglO/Aj6xPXw+LWQxLR4MTlRukOfDdU8aIK4hDwxPPJbknUPI0e8CZk0a4v72x3EOeb/1wfpvf9ROv9+N15rMyuv+g3xytXkk5h8EpOEQsXzqYqXjk4DYVaEzQUREqSvY9e9j7D4Pf+Ja22h5+GltB2yP/td8HpaFswZledizFjlFwvMO/9Mlv7fL9EgGLRWl7TfbrXCo5/6Bh3HH05hekdDYzXGGLNzJuaetQHSUcjWYo4pzXnyvqMSxpbkjgKRtPVR7bVuym/Z+ijnXL1Cdl8Qb9H6qD/Ys9Zae87j7YcurE9hdg7iBKIo2+lE+dqDfyXRyRTdQmp1kVsKkPeE7ooQxiAIUKE/ugXV4V9DEYc74KVw4KtBPFAoSEyHX8HLblP/lKjChkfRmz5NsuyvozYaLyK0HnYgs955Fvu88RUc9q3PUNhrGl5zCa+lCecJpSSiLajUY636Pj25PF3FJvpyBULnkQQhG269i9W/u4W+x55k1TU3889Xvp/Oex6h55HlPP2bv9C1+PFReU7GjDXz//1NzDjthHqSm37/DKzbjTq7uf2M903YWRHa1030wD+IlyxGh2nTZowx452Ml2mUIjIL+D6wF5AAV6rq5du6zcKFC3XRokWjEd64oKqICEmSrt9tLvhDetGaxojihHBQ66MwSXAiTG1JRyS7+kMSVXxvFFofXXVV+u8554zYXVbCtJL15Kb8kPdbFCds6AuYVMrVp4F/6rY/sLS7C4A4VpJYEFE8X8kXlJP2msdbFhxPObqDUJcAaeGqTf2CqtDRDL5LDzI4JlPyX7jN1ympdMPNl0C1F1BihfVBgVYvxCfd8ctLWrRKVaA4Bff8i5CWaSP2+uwoTRK673qQcGMX+X1ncM+/fniLqsuBCIH4hM4nEcjFMc1BJe1RzMCRTa+1mbgaIV56RKHloHkcc/VnybU2pzu8Yq21hiMid6rqwkbHMd6Npd/mJIq56eiziLp68byhRQpFQHyPmW97NfMvemsDoxx54S2/ILzhB+D5gCKFZgpvvxQ3fXajQzPGmGdkW7/N4ynLiYAPqOpBwPHABSJycINjGldqP+CxKlGibOoP6OoPiW39bkP5w7Q+6mjK1y8XB4kObX3U2T9QXbccxBOm9dF7j3guvqd4XkIup7hsrW5t2PIfa5fyRPc6Sv4xeEwFBOeE9lLafqinMvA+VzqpRLeguvWRCldsQ55/CeydtQ6tTadW6ItzbArzdIdetjmB3rUk111EfOfVaLV397wIWyHOMWnhoUw99STaDjmAo37wOVoO2g/xHJLzye81FT9RmsKAtmo/LUGFYpS+TxIRukvN9OaLVPwc1b4ySblK3FsmLlfpvv8J7nn357n1pe/lulkv4/r5/8IDl3yDuBqM6nM0ZrQ53+OwL/47Lu9T+6IRydbtCmgcs/I7v2L5lT9vaJwjKV6ymPCPP4QogGo/BGW0dwPVK95LvHT4Vm3GGDMejZsR3c2JyG+AK1T1j1u7zlg6ajzWqCp9QUx/1o6olPdoLea2cyvTSKpKnGi9yFUx56GqrO0ZKL4kAjmXJs61UdLaSP4O2Q0jutUopqs/ZHJzntxm65CHi+23yxbzm2X3A+lobRgKoJRKigi05nwuPebV5J3QF95AQg8AYSz4InjZ2uh0GrPgZBpF70REtn1cL1l+K/E9P2R91aPNCylKRE/sU449PFFaXZV8kmQLiB3kmuDYt+JmPhtxjTtmGPdXEN+junYjt5/xPuJyBa2GiO+RRDFxpCRA4OeInEfkZYl7rDQFFXKDpiwOPljiinmmv+hY9n3ti1nyzV8TdvWy9+knMe/cV5JrbR79JzoG2IjuyBiLv81P//pGHv7QZWgUZ1Xfh34vubzPMdd9g6bZezcowpFT/dHniO+7JT1TL8SVrvYX38d/6TvJHf+yhsVnjDHPxLZ+m8dloisic4FbgENVtXtr1xuLP6ZjTa1HrKrSPmgU0YwfSZJNe07SIlhRnFDKpxWi40RZ31vFc0LOOTxP8J2Q9wbWCA+xGxLdZ0pVufj2a1hf6QMgDMHzwPfT8RbfwWGT9+GdB7+ARMv0R38EwkG3h/4AmnLpaK+I4DGFvPec7Sb82vM0yR3fgq4nEU2Lh1UTR3fkE0fQ7gUUJJ0HrADiQ2ky7uQP4tr22j0vyDMQrO9k5dW/o3PRAzQfMIsoiHj6l38mKQ8cDEmAQDwi8ShGIU6VqudTyeXwwgg/ifGTBKeKeA71c8TZ7V0hT2nfaTzv+q+w7tb7WPOnOyhMncScN5xK89zxnwBsjyW6I2Ms/jarKre97AL6H18O2QE4gfr6XQRyk9s46qf/Q2mcJ7uVb11M8vjdZMcC0+9FTwaKE4jgDn0e+X/5d8SzmqXGmLFtQiW6ItIC3Axcqqq/Guby84DzAGbPnv3s5cuXj3KE41utFUxL1i/WjG9JovSHcX0dcJJ93mvrYqM4oT+M8Z3gO0fuB99Ld3pGIdGNE6UviCjlvC1Gep/u6+LTd/2Ozb+dPNJiMZ7Amw84noXT9yNJyvTH10NW1TqMoKsseA4mN7m0uAzpmt28dxIi235faxKh91wNy2/JCrQoGivlyKPJi0E1HT0m7fNLbUB0ygF4z30X0jp9BF6dkZFEMQ9e/L+s+vWNuHyOJIjIT5tM/4q1MGj0NnSOqucTiodme/ZOE1oqZTTZbH1vqUBuWgfl1RuJ+ypIzsd5Hgv/7yL2Of1E1tx4J52Ln6B57t7sc/oJeIWJcwDNEt2RMRYTXYBgQxd3nvUflJc/jZC2jhtybEyEwr4zOPaP3xrXa9jD264jvPZKiKvp83CSfsDrpafTv2XvAyi8/qNI29RGhmuMMds0YRJdEckB1wLXq+r/bO/6Y/XHdCwLooTuSrpuN+85Wov+hG17syeqtT7yXTraWQljusthPaEsXv0DRKDpHefie444UVR1l94DYZzQX41pKfr1Ps+17Rs3K0Y12G+W3cMfVjxIFKf7YelSW6GQV5ykvdE+evQZdBSbiZNuKvFN1JLdagjdFcH3hPZS2s5JcIi0kncnIjJ88hUnSn+WfLtqF3rjpVDeCElcX7+bJLAhLCIktEhIwWXTmRNQBNn3aLyjX4N0jE47oh0RbOqmvGI1pdl7E3X38feXvY+4XCWpBLhCDk2UJIrROCEWR+Q5EhFKYUicQF+hSOQcXpLgJXE62luJcIN+P/zmEsVZe9G/bBVRpYpfKuC3lHjhDZfTNGs66/9xP5vufZyWuXux1ynH4sbhgTRLdEfGWP5t7l/2FHe84j1pyyEGeuu62ttVhKkvewELPvtvyDh8DwNoGFD5xgfQ1UvS9mS+DElyB+ocgBSK5M/5Am7G3IbFa4wx2zIhEl1Jv3m/B2xU1Qt35DZj+cd0LFNV+oOYviBClXqhJDNxpdOeE+Sqq4gTKL7jbTgn9FYj+qoRQpos+p4j5wml3I73Y65VXe7YbI3u9hLdRJVP33kNK7v68bx0fW4UCXlfyeXSUd32fJGPHf0vOBFi3UQlurm+vxZE0FUGz0F7SfCdl01HLODLc3CuuMVjbh6TRlWSJTfDvT+DOKyPgtanM6uQkzThzZOk7YdiBRzsfxL+YacjU8Zez9pgUw8rfvwHuu5+hNZnzWXaycfwz9cNreLs8jmSOCYOE0LPI3IesXPEzpEkIGFMS7UCQNXP4XyHC2MIwoEZkJ5jynEHE0dK1+InSKIYl/PJt7dy8h8vo2nfaXQ+uIzVf76LXFsTs854Dvn2lga8IjvGEt2RMdZ/m1defS1PfPYbiGo9yR1SjTmXY6/Xnca8D7+zgVHuGo0Cwt9+g/jOG8DTLKMf9DzrByXTxsL+KW/DP+YVDYvXGGO2ZqIkus8B/gosZmCy4MWqet3WbjPWf0zHuiRReoM0yakVqnpGhY3M+LPZGt3hWh+hML0tTRJ7qxFhlNRbH3kuXQM8+D2ys4kuwNpyNx//++9wXprchqGQJFDMK56XzrY7Ysq+vHnB8wGIky6qyc3UviKCCLrLQnsTFPx0rVm68s7Dl5NwbmhSFUQJm/oD2ptyQ6bua/9Gkr99DdY9lvXSVTSBsnr0RT6JClO8Ch5Jmgwnmg2H+MicZ+MdeQYybd5O/ZeMlu4HlvDAJ77OpjsexG9pYvbZL2Plr2+m/8k16TB2Rp0jCBQV8LPt3aUmVIQkVgTFJUouCilEETgh8fx0mD0jnmPacw6nef9ZPPH969EkqY/wPv8Xn2avFxxFZX0Xy356I/2rNjDjOYezz6kLG1r0CyzRHSnj4bd5+dd+zJNf/wmSREPqGdQHPkVYcNnFdJx8QoMi3HWqSvSXnxLd/MN0Qy3RHTxnuzatGcEdeAK5l74HKTQ1KmRjzP9n77zj7LjKu/99zpRbtmvVi1XcJdzkiivGODbwBgNxgk0vCaG9LyUJoSSQEFpoAQIhFCeUBBxw4MWhxAZjAubFRTYusi1blmRbzepbb5uZ87x/zNy7d6VVsby7V7s638/n7i3TzszeO+f8ztMc+zAthO7hMBU606lELU7jdzvy/n6FiWOKcwjJqKzVxsBvqBpTjZLUxTlb7pmRGsCVKKEaWypRQm9bOMoFen+icm/+a+1D/PeWe/GD1EM4qgoikMspfhav+9IlZ3POnOPT9mkf1eQ26m7MqoKRtLZuYsE3aQYWEYMvKxEZqYl7sDbZPRuxv/hEWnfXxll9XagmHnmToKqUIyHApnV46/pQAuiZj/ecNyEzFx80A/SRQmnjNu589QcZfnwr4nkgsOjaK1n/rz8mKVUa6ylgjSG2kGSWXz+JycUxVoT+XBGjirEWoxbPWnwUEY+4VB11zKCzjUu+9yF+8ZL3o0lCUq7htxfoOXUZl//3JzFhwJabV7HuWz9DVTn2Fc9jwfPPmZQJuKNB6IpInjTZY440QuAGVf2giCwFrgdmAPcAr1LVmojkSGvcnwnsAl6mqo8f6BhToW9OyhV+d/U7qT65sTlH02jLbi7khE+/l56LpvZXItlwP7V/+yDYONW3daHr18stNdQ9MnMxwWs/PWXuYQ6HY/rjhK5jXKjFlsFKRGyVwDO053xC33V204rDzLrcXPqo7u4OsGOw2kiABRB6hlxgKIb+IQvdp/rLXL/hNp4s7wBS42KtJg2rrp8lDH3LiiuZ3zYjXUcHqCW3AbYxSCvXYLAC3QXIBanwNeIBx2JYiohQjRP6ShE9xXC/321NatjHb0dXfRtqpYa1UzW18u6shViEHDFtRARZiub0MggERbxL34h33HlP6xq3kqHHNhINlOhcsRQTBtz/vn9mwzd/ghiDGEE8j1mXnMHmH/8WrY1YbjGCiqGqkrk9e1gjKEKxVoVyRGIMlVwOYy2iSq4th/EM8fY+mqWrV8hx+t++lv5Ht7D+335GPJwKbb8tz+KrL+HC6/6CpFrjoc//gLVfvwkROO51V7L8bS8et4RYR4nQFaBNVYeyvBi3AW8H3gV8X1WvF5F/Bu5T1S+JyFuAU1X1TSJyDfASVX3ZgY4xVfrmpFThvmvfSWX9xtEit8ng6bUVeda3/4H8MfNb19BxwO7eSu2b74fBnTQycXmy7wRSkMO/9HWYE85Dil0taavD4XA044SuY1wp1xIGq5GL352OjHN5IZtlVi7VkobbcuBJwxV++0AFs1fpo7oLdJ1tAxU8z/LZB39EJYkbn0vmUeeZ9Dn0DH9+2osp+vns2GUi/RWQbpNYGChDlEBH3tCWqwtdEGYhnEIt4aBCt47WStj7foA++gs0qqaC1ypWoWQ9yknq0hyS0CE1fEkTexHbhluzOfFCvEteh+SnXl3aoQ1b2HHbfYTdHcy9/BySSo1br3gHpU07SIbLeG15/EKeWZesZNMPf4WtjfzvrDEEHUUqOwdJjKEaBFhjsMbgF3MkUUKubwDfWmLPI/J9jLV0LptP6Ynt2FIFr6nv8oo5rvj5p7jrL77MzlWPNsoheYUcs845iSt/8elxsfgeDUK3GREpkgrdNwM/Buaqaiwizwb+RlWvEJGbste/FREfeAqYpQcYXEylvnnoocdY/ep3p8mpGnGsI0JXycTudz5HfmHrS4w9E7QyTO17H0WfXA1GEG+v34wBjEH89P4ty87Cv+J/I0Fu8hvrcDgcGQfqm505zvG0KYQes9pztOX8zA00ZTpPmjgOD2NSUTunM8+MtpAZbeGoeO9i9h2qJZbhakx/OaIcpS7H1ioDlYh84NEe5njT8svwTSZwMyuuWkjS1YnV8rWHbyKxSXbsAqG5BKGIkIroniLkfGGomoreke/sTpS7CD2Y05k/JE8FCYt4Z78C79qvIMc9h7T4ERiUdonpNRXaTUSSRQUDJCqZZVfBRtg1vyb63l+jasc+yBFM+9L5LH3V81nw+xfi5UPC7nYu/82XOefL7+bkv3wlKz/1v3n+/d/kjE++heLC2fjtBSAVpbnOIs9676vw2/J41lKsVmkvl+kYHqY4XCJfq2LqlnIg8TyqYchgZBkKAoaLRWymNCLfY0gN9/7zj9j6wONUa3FjWVKusvPuR3nql/e25BpNVUTEE5F7ge3Az4B1QJ+q1mcrNgELstcLgI0A2fJ+oHdyWzxxtC8/juX/+jEkyGL89yo5ZAS0XGbtO/+OqG+gRa0cHyTfRu5VH8G76FoQM7pPz6y8IqSJ+TRC199O9I23Yp9a26omOxwOxwFxQtdxWIgI7TmfYph2/uVawo6hKuVa0uKWOaYKiU3dndtzPrM6cszuyNFTDClk8d+JKpUoaSSzCmwbl8w6HaOkgheIYiGO6uIR+mvD3LtrXeMYInkCcxEi3YgYjPHoaTO05aASCaO/rmVg69M+DzEe/oV/jP+Kf0ZO/wMQHzAYoE0iZpoKnqQNHLAhO22BIQ3S8F0bQ/82dOPqp38Bj0CM77Hgf13Aive+msXXXo5fzJOb0ckVd3yFMz/7do5/y0s49UN/wgsf+BYnvOkq5l95Ln4xnyZ2zQX4hZCL/uUv6Zrd0+icgiShvVSiR2OWnXks7XFEvlpFsn+6ikA+pG/XEMOxUi7kGW4rNmLG41KV7b99qCXXY6qiqomqng4sBM4BTh5rtex5LFP5PrOeIvJGEVklIqt27Ngxfo2dBDpPOZHFf/YGTG7Ee0kalt10Iqu6YSMPv/KdJKXy/nc0RQguvobg5X+H+E0u/81uzM01dyv9xN//K5K7f5DVHXc4HI4jByd0HeOC7wm+MQxUInYNVanGTvA6Uqpxwp7hGokdPfatC9kkEywiQuiPuC0HnmF2R562nE979jh/7vGs6JmPIbXm1m9gtSi1NFhg9Z7HRx1HxCcw5yPMTWvpYujM+8xsF3K+NNlbLbV4O/3laJ+2HgqSa8M/62r8l38Bc/bLwM9lojeL31WlTasEkjBsfQZtNoi0Cbp709M+3lTCy4Us/qPncsbH38zxb3wRYVcbYgwXfuv9XHrjx1jxF9dy6gdew4vu/zrHXHUhz/nu3xD2dOC3FzChj1fMM+/SMzj3k2/Gt5Ywjhv/tTCKaa9UOPmSFXSRUChXyFeqjeV+IaQ4f9oYGCcVVe0DfgmcB3RnrsmQCuAt2etNwCKAbHkXsHuMfX1FVc9S1bNmzZq19+IjnrnX/i/mveEPR1lz68LPGPB9sLt2suEvP0pSruxnL1MH75gVhG/4PHLMs0AMjfmMusgV0hnHzMpr7/wP4u/+ObYy1MJWOxwOx2ic0HWMC4FnmNEW0lUIsJrGOQ5UooNv6Jj2qEItsft1bZcxDUL1bZXhauot2Zbz6SoGvPKEi+nOFfA8CAMlCJTAT/ftCXgydmIrT07DyHGNwanvCXGiVCNttMNqQCVKnpEbvhS78c64Cv+VX8Sc/YfQMQcwEFtCLN1SJRCL1frA0UN6Fhxwn9MVEWH2Bc/i9L99PSve9TKKC1MB1HPKMv5g/Xc474vv4IwPvYHfu/lTXPr9D1Oc18tz/uOD+O0Fgs4iQWcRvy3Pxd9+Pyf88QvxPYOfJATxSDywCXyWXH1Jq05xyiEis0SkO3tdAJ4HPAzcClydrfYa4IfZ6xuz92TLf3Gg+Nypioiw6E+vpeey85Gm5Hm+nwrdumV3+O77WffWv5oWoTzSPZfwmr8jfOf1mBOePdpn20sT+tXjlhGF/i0k3/pT4rW/aVmbHQ6HoxkndB3jSj7wmNkephmZs+RDqoo9DAuZY3ow3uM9YwxvWf4C2gKPMIRcCGEAgUDo+aycedyY26VZlpchnJFZdoVqLPSVQdIsK6guaKz7TJF8O97KF+O/4nN4z30L9B5DNiLEWEURMD50zkaOOeUZH2+64RfzLL3mMpa/8w+ZefZJjc8XPv8cXrb1Bi765vu46Bvv5WVbb+CY3z+fsLONK2/9DB3HLcAr5vAKOTpPWMjzb/0MQRYf7Dgk5gG3isj9wF3Az1T1R8BfAu8SkcdIY3Cvy9a/DujNPn8X8J4WtHnSWPahd9J59qlpqZ2mmrrpc/oLrz6ylife93Fstda6ho4j4gf4F7w89VLZe2JyVO2Cv8wcAAAgAElEQVQlgAT9ny8Q//TjaHlqxyw7HI6pj8u67JhwhqoxpVpMW+hTDL1JqXfpOEzGOesypPHbA5WIme25UdmUD6WUj7XKjqEq7Tmftpw/atlTpT3829qfY9U2AgJX9Czmhcece9DvmGoJuI/hapWhqjK7A0SOpxLNG7Ot44UObCf+xdeINtwLxhCc8Gz8S1+P5DvG/VhHK6rK4PqtiED70nnjer852rIuTxRTvW9WVVa/9M1EW7fiNcTu6Gc8Q/tZp7H0M3/TiiZOCNr3FNFPPgU7HwffNFlzZcRsUs8WaAS8EO/it2EWn9nCVjscjunOgfpmf6wPHY7xJO8b4sRkgjehI++TD/ZfN9Vx9HCoGmSs9eYWe3jHKS9lbf9mSkmVxe2zmZk/tLqOIkVUz0OkD6ii2osxAZqVIpqoqRjpnE3w4vfhq7oJnwlCROg8dmrXNHUc2YgIJ371o6x90/uJNm/BNIvcelZmtQyvupcn3vdRFn3wzzHjVMu5lUj3XIJrP0F827+hD/w4rZIGo6262aSliIBG2F99FjvvFLyL3ozk3ISew+GYXJzrsmPC8T1DdzGkuxggAv3liEEXv3vUIMKY1tGc7zG749BK+ewP33ic3HMMZ848/pBF7ki7BCOdiHQ3kkbBxIncZmKrlJrqyjocjqlFOHMGJ33zM/gd7cBoi65kbs2CMnz7Kjb97Sdb2NLxRcQQXPRq/Ks/igSF0Sdu6i7cmYU3E/489QDJ99+Offy3rWq2w+E4SnFC1zFp5HyPme05OvNBw6JrsxIzjulLGrd9eK7Axgi9bSF5f2I8AOpjtHoIRzH0md2Zx0yA23IztdgyWIld7LrDMYXxigWO++rf4/f2pNZNU4/XVYwB44FowvDtd/LEO96HrVZb3eRxw8w+Fv+1X4FjzkxPXDWLWxb2idsV0rrh/+9LJDd9EFsdbmHLW4xGED8J8VqwO8c/iYXD4RiFE7qOSacQegRZoqrBasyuoSpD1XhaZKl0HDpRYukvRcTJgWsv+p6ZMOEZeoaeYjgh8bgHwmQK233jHY6pTX7xQo772ifxCvnGZ/VqPNL0KK9+iE1//RFsbXokqAIQP8S/8s8xl70DvBCyMmqNuN2mZF3iSXpd9jyO/vBt2EduamXTW4Ptg+rPIV4N8Rqo3QG1n0Oy1Qleh2OCcELX0VLacz4532O4GrNjqEq55urvTjcqUcLu4do+1svEKpU4OaDYU01dfA8mhg8XY9LavfV42UqU0F+aeLf6uiXZusGNwzHlCefM4tivfAKvuwtVbYhbYETsoZTvuY8n/vSdJMOllrV1vBERvGXn4F/zOWTuCvYO/mi4MadvwBfwFF19Pfam96B9T056m1uCKtRWATGQkF4nBYnA3gfxLZBsdILX4RhnnNB1tBTPCF3FgJ5iiG8MA5WIoaqLXZxOWFWixB6W9dIqDFZiomRiOn9rlUqUNNzn40x8TzQjLtMTfiiHwzEJ5JctZtkXPopXbCpl1bDoKqn/hhJt2sjGd7ybaMfOVjV1QpBiD/4L3o+56E2jch6MrCBpofN6DLMRtLQd/eXfYn/3dTQqT36jJxMdBurW/OyL4Xl1f3cQC/ow2FvAPgbWjYMcjvHACV3HEUHoG2a0hXQVAgpZ/G6c2Amz5B1JxLHlgdVPcfc9mylNgjWxVRyJOYYTVfrLEVH2PVPVSWln3XXZWXQdjulDbvFCln3t03jdnWMuT3/2Su3xJ3jyT/83cX//pLZvMvCOvRDzR1+C3qUgZmSCs5GResTc3YjnffI29KZ3YTf+dhqHMO19Xs0puveqTaVPgP4P2EdBp/8YyOGYSFx5IccRRXPZoaFqTDW2FEKP9tCf8ARBE0E5rvBI3zr6a4PMLc7m2M5j8M3Iz+6xdbv46Cf+hyS2IJAkyh+/7kyec/GyFrb6yKE+6JmoSjyt+kb5WZKtyY4NdjgcE0tu0QIW/8NHePytfwHVCnWBk+qZNEkVgJaHePI1b2DeRz5EYcXylrV3IjBhAbnyb9Enbkfv+CroGF4yo5JWASRw/zfQdT+FM/4Y6TpmEls8CUg7EAKZ5Xof3/Zm4ZuibMoswb1AF9DpytI5HE8TZ9F1HLF05gMKoUe5lrBzuMrwFEtYtbO8m28/diN37XiAh/vW8eutd/Ef635MJU4zb9ZqCR/++C8ZGqpRrsSUyzG1WsLX/vVuNm2afjP9Y2FEWmrprQ8a6l8rhUlRvyKC7xk3aHE4piG5Jcdw7L9/Ba+np+nTVOQ2ElQBWquy9T3vo3zf/a1q6oQhIpglz8Zc9VmYfzqN4aaMFnMjLrzZRSltR3/7cey916HVgVY0fWIQgfAswKMRn9u8bB+RW/+7B+UxlFUov8bqFtRZeR2OQ8YJXccRizFCZz6gty0kMIahakxpCiWr+sWW3xLZiCSbzY41Ziga5q4d6aDm3vu3ollsqAVs1sfVagk//PGaVjR5QjAi+GNYLvOBx6yOHL7XuttQvVVat7oA3iSJz1ItpjoJ8cAOh2Py8bu7OObzf4/X07OPthvltWpjtv71B+j74Y0taunEIvlOvIvfibn4zyBoTyermzMzm2YBTHZTVth2N/o/78euvwlNpklIj+mG3OXgLQNt+kLsNYHf/E7FAhbFolRRHiTRW4jtw1g7fcpVORwThRO6jiMe3zP0tIV0FwOKYeraXIttI65y0lALtjy2G9ZelOMKfbV0NtpaKFWEJEkF1Zq+x1BVyuWR0jrWQCxCkvV9d9y1cUpZrw9EPvDobc8dluu5Z4SZ7Tly/sTequqXuiMf0Nuem9Bj1RmqxNRiNzPvcExXwnlzWHb9vxAsmLfPaKser0smdvd87Svs/OIX0Hh6JiGSuc/CvPAfkOOvGJ2Nr9nEDXtZfC2s/xH66/djt983PfpECSA4GcLfAzme9IsxdnbCuhbWJumrqigJyhPE+gui5P+R2J3T49o4HBPAlBG6IvIvIrJdRFa3ui2O1pDzvYar51A1Zvdwjf5y1MiYO2GoQrQWKj+F6i3pc+3BA6bMNWIayxVILJSqQpxAopaNQ5t51vI5xJnQMZneSTKxW6nGrNuwe2LPq8VU44Q9w7UD/v9EBM/IhLn4GiPMaAsbCdAmExFhor+6DoejtRjP45jPf4r8imeNtuRmIrdZ1w3efBNb//r92PL0zEAsXoA55Rrk8o9B52L2iRNpLjxsDHgmXSWpwIP/it7xYezANClHJB74x4J3GZjlpPG7HHBckYpcmz6rBRTLHmK9g5r9GXGyDtXpOVHicBwuU0boAl8Hrmx1IxxHBt2F1LpbjRJ2DVUZmsj43fgJiB9hpP5dAskGiB/d7yY5L6Qr7ADSvrqQUzwD5aoQR7Bqx3309hbp6sqjpH25ryNuzKpw8y/WTcz5TDKV7H+09/9HFWqJPeD/LbHKUHXi6ugCBJ5pWJuHqzEDlclxkzOCm4V3OI4CvM4OFn7qo7SdcxZiTKpl9q61K2mt3dpDD7LpTW8k3jm9yg81I22zMZd+AM5+U2rhHOs2aJoEr8liWiu74Hefxd77BbQ8Ta6PCJgF4F0McibIDNI43n2H54ptvEr/Nlt6q0S6mkryEyrxHST26MjzcSjsqvTxfzf8nC89+G2+8tB/8F9P3MoTg1tc/3uUMGWErqr+CpjeJi7HIWOMNNxMc77HcJaheUJIHiUVuKM+TIWu3f8xT+89uTFf7Xup2A08sFbYU+2jFJe47LnHjiRd1FTs+oCK8Os7N07AyUw+iVXiMUyX9T7mQNZaq8pwNR5z+/GiXEsasbJRYifNnVhEXB1dh+MoQUSY+4G/ouuPrkaawzj2qiwDYAf62X3dVye3gS3AzD8LrvwcLDp/rwRVe61YF7x1F+eB9eiqj2Ef/hZanUaCzvSAWYmY54CsJBW8B8dqksXwphZfy1YqyS8oRT+hljx6VFt5h6IS399wM5uGtxGpUrEx6we28J8bbuWzq7/D99bfwpq+x4lc3eJpy5QRug7HWHhG6CoGzGgLG6WJKlEyvmJFRyd8UIVqTBqrG+3f6nps1xJ8AU/SCWkbQ+gpxbxiBO7ZcT+XXLgERFCTPhIjJCJYA8Nxwpp1u8bvPKYgkyEEB6vRqEmSycqDbMTV0XUcWYjIIhG5VUQeFpEHReTt2ed/IyKbReTe7PGCpm3eKyKPicgjInJF61p/5COeR++rX8WM170WMSPDr33m+qylvOquyW1cizDGw5z6arj4w9CxaN+MzM00J6wSYPd96D0fxa7/PhoNT2KrJx6RLoQLgCWMDNWbszJnVl3V7F2zdbfu1lymZh9gOL6RcvQbEu2bpNYfOdy3aw2xTRpXxyrEmj5HVtkw+BQ3PvEb/nH1Ddy9Yw2RjZ3onWZMuzq6IvJG4I0AxxwzzeqwOfZL0JS5t24BzPmG9pz/zLP6SidkHUSpBoOZ7g0NdIQP4ofHjVno1Tc+SzsWsWEotcxGCLUYcoEiAg/v3MCJS06jvSdPf38FYyExgqAYUsH7jRsf4u/+zwUtzUx8JDCRiZCFEcvqZOrOznwwoeflcBwGMfBnqnqPiHQAd4vIz7Jl/6Cqn2peWUSWA9cAK4D5wM9F5ATVQ8jYdxTT/QcvJXfiCTz1138FyX4G1f60G54dEFPshQveh935ENz/r+kE86hkVXslrPIya6cA2+9Ad6yCeRfB/EsRP9+q0xhXRAKE41BdhrIVYR1K6YDbqI7l1myJ2EwUbUYJyZljCb0TMDI5iRdbyfbyLiy2cTWS7MXeppDIJty86R7+e+M9AHSE7Zw6YylnzzqetmB6fJ+OVqbd6FlVv6KqZ6nqWbNmzWp1cxwThN2zjeTRu7G7n9pn2Yy2kPacTy227B6uMViJsM/E9TU4Oe1wNY2zBfBEiSLL7qGEocG1+431OGPWqRjSH1roK4Y0MRWA51keH3yScy9YgopgPUEEEmNQwCCsfnQHOwerE59wqwWIpBb5Vms92aek4eS0yExgki2H43BQ1a2qek/2ehB4GFhwgE2uAq5X1aqqbgAeA86Z+JZOfQrPehbzP/2ZvWrtZgQB7ZdcOvmNOgIwM5cjl/49HHcVGG9sq25zSaL6x1j0qV/B7z6Mbr4FTWqT2OqJRcRgZAG+uRiP8xHmsP+ec+9cGDrKrRkqVOxqBqIfMFD7KbVk87SOVZ2Z78Fk12p/E9qaWXkTVSKFmsLOyhC3bH6Aj/3u+3zk7hu4Yf1veXLQZbeeihxdU4aOKY/GEdXv/D324TvBDyCOMCeeSe4V70X8NGuhiNCW8ykEHoNZ7d2c7xEeRnkbAMws0ACkRs4DXxS1Sm+bMlRRhoceIPYW0d1W2GfTnlw3HX6BoaRM4EMthlok5H3F8+GJ0oNcftFl3PjztfhJmozEekIsghFBY+Wu1dt49unzmFEMD6tET6vxjBCOYZHOB17D3byVpDo37byMkbETo0wAtdhSjRM68sHkHNDheBqIyBLgDOAO4ALgbSLyamAVqdV3D6kIvr1ps00cWBg7msgtW8aCf/wiT73vPcQ7tqf+lEYIFi6i59WvaXXzWoaIQRZfhi68EH3sB/DUnXuv0BC5ss9rhW23wvZfoXOfA3MuQsz0Geoa04nhTFQjYrsBK+sbrspjsb8EVqqWmN0MxbeiKoRmCXn/ZAIzYxLOYvI4rfckHu5bR7Q/zwlGrpwiKA27Bqqp5Xc4qbFqxwbu3L4Bg7CkczYrZy7ltN5F5DzXf+/Nmoe38583PMCWzf309BQ5/bR5nH/RUuYv6GxJe6bMr19EvgM8B5gpIpuAD6rqda1tlWOyiW7+Zipy41r6AOyau6j9+DpyV7151LrGCF2FgPacj9eUVdcz8vQElgiEK6ByN6C0BUJ/SanF0FVQ8pFFdC1wKqqKVRrHAzht5in8dlvaUed8pVITEpsmqKpqmY7uKrNntrFtZwk/K5xnTeZuIcJPbn2MC8+Yf7iXrOU8E0Eb+oZZ7bmJdV1uSgrVVZi8TitKLKVaQnvOd5ZdxxGFiLQD/wm8Q1UHRORLwN+Rjgn/Dvg08HrGDmkfc8TtworGxuvsZP7nv0Bl9WqizZsIFy8md/Jyd08AxMshJ16DXfICeOTb0L/2ACsLDZerhuD9JWz/H3TWhTD3EsRMH1EiEhB4J6B6PFa3Edk1WPqoT902o3uJ3PR1KoBTC6Wlah+jWnsMIUfeO4GCvxwjU99ltzNs5yVLLufWLbfzVHkPovveoFKHOWm4NdfHA/UpgsSOVMOIUR7p28aavm18+7HbmRG2sXLWEs6atZi5xe5JOacjmd/9bjOf+8xt1KoxYqFvR4nHH9nJD7/7AMbAggVdrDxnEZc87zhmzWmflDbJdDbDn3XWWbpq1apWN8MxjpQ+8AdQGUk6YRnxv8+/5xuYGXP2u62qsiur2xp6hva8Pyq294CowvAPIcteuLuUZhOe1TbSgUj7ixis+ZRrCW05n2LoZbVSLdevvZ4ETRNZRRD44GdVE3rzXZTXnMB1330gLRlIWijeZM5J6gn//skX0NWea7jNTNgg6OtfT59f+9qJ2X8TlSihVEvoLgQttVQnVhGY9DaUawkDlYiZ7blREyOOIxcRuVtVz2p1OyYSEQmAHwE3qepnxli+BPiRqj5LRN4LoKofy5bdBPyNqv72QMdwfbPjcLCl7bDmW1DZ1ojZbVh0TXNm5qZU1gLpigZ6Toe5lyP+vt5X0wFrK9TsIyT6OEo6VkkzMo9OWNVcj3efRFbZugCGToreCnL+MoyEk3w2408tiVjTt55VO9awqzo0KkFVokJk0zO3dsSaW3drbn5vm7arW4CtQmA8Tu6ex3mzl3Jyz1zy/vSZWDlU3vl/bmTbtiEkmzUQO/LcXE0tCAzXvv4sLnv+ieNy3AP1zdMuRtcxzalVRr0dIMdOCgyrz9BXP3DATUWE3raQjrxPZNP43f7yIcbvikB4aubPYunIKT2FEYcXVNHhOyiGPqFvGKrG7BquUYstRgzHdi1NxZRAIYQgCz3yBAZq/Tz73B7EE1SaH6llV4F//+kaVJU9pYiB8tTKCFiqxewYrO7zuVUlOkh93DixDFaiCY1R9ow0RG5/OWJwkuro1sdiLvOy40hB0hm064CHm0WuiMxrWu0lwOrs9Y3ANSKSE5GlwPHAXn6mDsf4YIqzMSv/DJ71FsjPSCsW1Bc2J61qvGdEBItC373wyKfQjd9Fo4EWncXEYUyevH8aRf9F5L0LMXQhjSnzZvbn5pwJX1WsJsS6h/7o12wvf5Od5R9QiZ/I3KSnJqEXcGrvibz+pKt424qruWLhOSxun8usXCd5L8B/GgYEbRK5aXwvlOOEe3Zu4osP3sbbfv2fvOf//Rc3rl/NxsG+oyK2N44Ttm8fapjEpem5OVk6QBRZvvMvd7N714GTq40HU8Z12eEAMItPxm5Ix1gWiLI6c8OEDG3bzvB/f4+ey166X1dZEaEY+uR9j+FanFpfQ6+RrOCABEuhej+qNQIzMuupVhFRNNmCSXbQXZxNJUoYrMTsKdVoz/mcMXMljw+uJ667xNj0BEyY/vAfHLiLk46fyYNrd6bLBRIRfE2tuzfdvpE3X30quUxESyXN2jsVsHr4Yi5RbcRYT5TVsxIlWFWKoU+UWPxJsq7W+9SjoP9zTB0uAF4FPCAi92afvQ+4VkROJ73pPQ78KYCqPigi3wUeIs3Y/FaXcdkx0ZjOJXDGX6J9j8K6GyAZGlEdzRma9xa+dQ+u4bWw/jG0+2yY/bxp5yYuIvgyB9/MwWqFarKGml0P1Cec6+7Ne3c+dQ+1Zrfm9H2k29lT++8snncBxWAFBe8YRKamvazg5zit93hO6z0egFJc5dbN93LPrvVEUvdhHlm/Yf3d63lvd2dVQW167bYOlbhh7YPcsPYhAuNxfFcvFy1Yyikz59CZm/pu4XvjeYZ83qdc2stYsJ8xjgj87o6NXPaC8bHq7g8ndB1TivDFb6HyD28Z6dBU8VC6bJkyHtWffIvqySvJLz4WVaUaW3K+2acjM0boyAe0hf4oa17ON/uPJxWB/NlQuo36L7e/DAh05lJLL4O/QHv+kHzgkfMNw7WEnG/wPZ+5hblsr6RZostZUqrQVzyj9NV2c83vr+CvPrsL0ZFuKDLgIVSihHvX7uSME2ZhM/FnRGjPTe+fcL3zmMhxSDW21GJLMUyv5WTlgTbZSTmLruNIQVVvY+y4258cYJuPAB+ZsEY5HPtBuk9AV74X9jwET9wIWsq6Zt23Hu8+mZoV+n8HhQXQuXySWz55GMlT8E8nr6eR6C4q8WoitmZLx4jnrYvbUf1S+trWMxPHmxiONwOGvHcMXeHp5LxZU3rCoOjneOHic3nh4nPZPLyL325bw5o9Wygl0agx2d5XrD6/As0iV0gSyRJapdekGlse2LGD+7fvRC10hHnOmjuf8+cv5PjeXnJe6xNzPlNEhOe/8CR+dONDROWDz3dO1shneo+SHdMOM28Z3srLSFb9HIPSqVX6NUdJfdq1RlFr6Offgf3YDdTEp78cIQI536MQeIT+6NnHushVVeLEUokShqsxHflgn3UBCBaAtKF2ABHBGCjVhLwPodi09l/pHmg7G9lLiB7fsZINe35KLlRyPsSZ2C3m05nVofYHyRUDKuUYIbXqQip2jQhf/L+r+dq7L6UjH2A1S6wlQiGc+jfIViLSnIly8o4beIbZHbkpPThwOByOViIiMGMF2rMc+h6CTT9JLbwwMiEOIxbeZjSCPXdOa6FbJ7XyzqQ9fA6qMdVkHeX4QSxDB9yuuW9MMuHWCNpSy3D8OEPRE6SidyHduVMo+vOmdL+2oK2Xq5ddgKoyEJW5e/s6bt+xjt2VUsMOvu8UwVjUx5f7CuA95Ro/2/A4N69/HFFhTlsbFy1ayJnz57Osu6sxET7VeOkfPItKOeLm/34UW03FrmaRA/ugcMa5iya8TU7oOqYc4VVvpnzvr9BahZwoOTWUCAiTiACFapnSx99M219fR3cxoBJZqlFCJUqtoDPawn3cYEWE3vbcKJfjvO/Rkff3TVLUdgkM3IgCbQGUIxgoWXoLqQsz5dVo7ljEH52mf0ahk978THaUdxD6EPhKFKduzL4H/bVdXHb+cv7rl5saM4jWZBZGgSeeGmJnf5mZXQW6CgEiEHhT82YIqXgPPDOh1tpDQWB0jzWJ7ZnKgwGHw+E4UhAR6FkBPSvQ/jWw+acQ9x98Q1s5+DrTDBGfvH8ief9EEjtEOX6Yil0L1OqOcvswukhRc4yqZCFZlsFoIwPRRlChPVhEd+4k2oOFU9a9WUToCos8d+EpPHfhKZTjGg/t2cxvt61j3cAOIlUMqVGi+ZrtXa+3HtZs7YjwrS9Xm3p1bR4Y5jurH+XbDzyKwWNJdycXLFrAsxfNZUHn5GQnHg+MMbzy1Wdy9R+dxuPrd3H3nZu4+/Yn2bVtqPHl8X2DGOEVbziLGb3FCW+Ty7rsmJJED95O7asfoJ44YbcWUIVeytnMGZjl59L21g9n5WNSN+ZqbBslZIarceqN7HujxKyqMlxLKNcSetvGrl2rg7+G2gYQqMbQVxaKgdIRJqS/5gB6X47IaGvrQLWfH234L6oR1BVVLlDacopnIEi6+MznRzqRJFtLTBqze94pc/noa8/aRyDFicU/1AzSB2ICsi5XskmG7uLTz9pYiRL6yxEz2sJDz5D9NBmqxgxXY+Z05ukr1fA9M2ku4QOViNA7gLu844jiaMi6PBm4vtkxGejQBtjyE4h2pfG5e08sigc95yGzntOS9h1pRHYnw9HvqNnNWE3jLOsJquJ6RuJ6CUQFkH0+b85KDIKRgIVtl9AZLp7Uc5lorCrrB7Zz944nWLXzSQZqNawKNsms34lpCFubpGmY4lhS666OiNzm90li0uvXLIhVCD3Dib3dPPuYeZy/eC5z2qde1vAksWzd3M/9d2/BeMJZ5x3DzNnjJ+AP1Dc7i65jShKsOI/49EtI7rkVFDrJZmWbEiHHq++k9C+foPj6dyMi+9RzrcWWWmIZJG7E5tbjedtzPm1ZeSCAPcM1coFpxHHSfgHsfgI0IedBwVcqEbQHWV9qqzDwP9D13FHt7sx1saizl+2lnZSjNBmkb0bSrid+P8ctXcAjj4+4EyUieKTuH795ZDvbByrM6sg3BPhwJtS6i+HY7tYt5pnU0X0m2x4qjYgt1cMS48+ESi1BQpzQdTgcjnFG2pfCCW9Fy1tg608heqppYQB+G8w4r3UNPMIIzEy6c5ejmlBNNjIc30/NbgMUIyOJl+o0W3Xr75tFLoDViI1Dt3Jc10vIeV2TdCYTjxHhuK45HNc1h5cddw4DtTKrdjzJHdueYEP/HqxlxDouNL0YmxHBK3u9V0pV5Z7Ne7h7Ux9f+M0aQk9YPnsGFyyZw3OPm0d34cgv/eR5hoXH9LDwmJ5JP7YTuo4pS/7lf87wI/ehg7vxm+JIKuoRYhGgdsctqELbG969jxW0py0kTizlKEndm+OIQug1shnX16+XHxqsxJRqCe05n3zgoR3PgYGfAdARQntI6rqc1aajshbNLUHyy0Yd94yZ5/PLrTeSC0Z6jaGy4Bsln1MuumQna54sNNyXDYCkN1ar8KO7NvKicxfTUwzwPUMh8ChHCX3lGj3FibN8jjflWkKpFjOjLWypC28xTOO3W9EGyf6nDofD4ZgYpDAflr0Bre6APasgHoDiMug+DTFHvkiYbEQ88v4S8v4SVGNK8VqGo/uwOrBXbOr+xNvozxTL7uoa5hXPndB2t5LOsMBzF5zIcxeciKqyrn8Xt23ZwD3btrK7UkVV0vEhI2K2mRErLqOe7T5WXihHyqpNu7hr424+++s1hJ7hpJndPPf4uVxx4jzapnmS0qfL1BgROxxjIGGO4nu+BOI3XD9q6tFPgQHJNQRE7fZbGPjcB1G7bxY43zN05ANmdeToLgYUM8taLbbsGBnxV9wAACAASURBVKwyWImwqvS0hQ2X5/5yxJ7hGuovAH8eqEVEMZnIrcbQ8J/eczOajE720B520ZubNVJTrN72BIbL0N5Vpr3TxxpBTVoDUEWwniAifOfXG1J37VINaxVjhJ5iiCD0lSa25uzhMFTdfx3d+CBtrcWWgcoh1jo+TNKkYmknsnu4Rqk2eXWK0xnfI+v/5Zg+iMh7JCUUkY+3uj0ORyuR3Cxk7vORhS9DZpztRO4hIOLTFpzM7OI1zC++hhm5C/GlI8vtVa9RoE1/x0KJ7fBkNPeIQEQ4rnsmr11+Np+/9EV87fKX8MZTz2TlnDnkPC8t69zQuppts2+ikP1beUdcoJNYKFWUezbt4dO3ruFF1/2KezfvmbyTnQI4oeuY0piuXgrv/DSqBrVCoJZ2rVK2PgPkG3fe+P472PPBt6O1fQVXnZzvNeJc64meSrWEXcM1dg1VSawyoxjSkU/tx8YIdF4OmEzYWko1pa+sVBpaSWHHDexdWvKMmRdnNzttPAxpGFGlali5cpDEE6wREiNEnqQJD4BqZPnd+l2050YSZXlG6CkGKMqeUm08L/EzRlXHFHP1Tw5kSU2sUq4lE5qGPkpsOqFhlSixkzpRYERcHV3HRHIncD3wDeA/WtwWh8MxhfFMjo5wOQvbr+WY9lfRE64k53U0+vD99eSCT3sw8dl1j1Tyvs8li5by7nMv4pv/68V8/vIreNnJJ7O0uwvfGARpVL9KObRBQV3sZplcUKAcJbznv+4lTuyBNz6KcELXMeXxl60g98cfwFpIEsglCW02ooJPH7nGLSN+ci073/Fqkl07D7rPwDN0F0NmtefoyKduIMO1NHlVMfTpzPupeBPDTu95DFcUTRIKXkJglIGKECeZC7Mdgt03jdp/3i+ysG0Jnii+UdpCmybGCpRi3nLaiRWMD2oENWl8bkL63hr40s/WNuKFa3Eq1HzP0F0Ip31t3fEmsWld4kTrM6uT58JsZPJqyTmOSlYA24EYmNvitjgcjmmCZwr05M9kccc1HNf1ambnzyX02tlb7goeoddBV7hs7B0dhcxpa+Pqk07mU8+7jP946VV89LkX8cLjlzKvs5AJ3mziYMyaPDTErdqGX+AoYlUeeOoQMo4fJYz7iFhEOlV1YLz363AciNzKC9FXvIPyv30OVSgSgVWGJCRWk8bwKtjBfna+67V0v/vD5FacftD9GiMUQ59i6GOtNkRQXzm1AAaeQf1ZDJmTKQ09REfO0hUm7C4JfRVDbz4Vx5QfQwfvQTpWNvZ9cs+5bC9vwKLkQ4gTpRYLnQWlECjnnl7mtnuKWbRximYJDXYMVnhocz/LF3RRS2wq1KxmZYfS+atqnBB6xpWwOQj1y9MKy+pkJ79yHHVsVNV/BBCRtwM/bXF7HA7HNMOTkN7CKfQWTiFKyvTXHmMgegKrMV3hMnrzJ2PEJVwcCxHhpJm9nDSzlz9ZCVGScM+WHfzmya3cuXkHe2ytUXu3HhM9EvI09thOYELDvaYa4yp0ReQ7QL+IFIDrVPVX47l/h+NA5C9+IcQxpe/8E6pKgZjQJph6rTIEA2gSs+dj76XtqlfQfvUrDlkINpcZ6swHlKOEapy61UrHWdjqk/RXhgg8pTOX0Fc2DNYMnWHmx7znV2gwG8kvBMA3Icd1ncFjA/cAUMwpg2VDLUpfX3r2ML++t4glK7YtEIvgSRqz+7EfP8S33vjs1IVZ0mRZu4drDfHUV4rI+SYTv0ee2PUkTZvfaupRRrZu0W1lYxyOcURV/2/T68+1si0Oh2P6E3gFZhZOYWbhlFY3ZUoSeB7nLprLuYtSB5yhWsQ9m3dw2+PbuPPJXfRXosakvBgljYrbe9QinDKvezKbfUQz3hbdh1X1QwAi8k+AE7qOSSX/3Ksg38bwdZ+CrJi3WqhYjwGTpy2ukicBhaEf/Dulu+9k1t9+ApPLP63jhL4h9A2qPtXYUokScvNfjG7/JpVIiRMoBpbQy+Ik1AIK27+Hzv8TxE/rhx3TvoKNQ6uJtYbngw0Vz0vLDRVyysnHVnlofR5tcnFNUATh0W1DbN5TZkFPgWLoY0QYKEfsHq4xoy2NJR6sxAyUY7qKwXhd4qdN4BnsGIcvhB6F8OCzvGM750wMoWfwxqibPFFUooRqZFv6/3FMX0TkXOBVQBugqvr6FjfJ4XA4HIdIexhw8dL5XLx0PgD9lRr3btnNL9c9xV1P7mLPcNKw7gaeYET40PNPOSJLTbaKcRO6IvJV4CQR6QPuB/rGa98Ox9Mhf/7zMN2z6P/Ee1GbCk0PxVfLoMkTa402jdNauxvWsvV11zLzbz5G7oSTnvaxRtfnDdE5L4atNzBQTW8yJQwGS1eohF6WXnnLN9GFf4KY1M14+YyLeWDXz4HUkpvuN32+6qJBHnqimGVn1kaNOuulYuxDP36IL7/yzPS8Aw/PCOUowctcrq2mdXalQqNs0mTzTGrhHqoYfiY069qetsl1JU6sUokTOtU/Iq3ujinPnwBPAZ8AXtPitjgcDofjGdCVD7lk2VwuWZZafIerEauf6ud3m/bQWQj4vRPnMbMt1+JWHlmMm+RX1T8BrgDuAk4Desdr3w7H0yVcfhrdH/0yEuZQBWOVzqRCQSNK5Og3eZJ6Cveoyvb3/RkDN/7gGR9XcnMpzDif3nxEwYtBE6y17Kl49FcyIWOHYcv1jUzEM3IL6Ai6R2VgrkZpzG5vR8K8uRGJEdQziGdQL81Nb0VZ9eRutg2UG8cPPNMQtIlNi7wXQo9yLXWzPpIYrsbsHNp/FuzJwvcMsztyhy3GnwmmXqvZhdM4JoZtQB6wwOwWt8XhcDgc40hbLuDcxTN50wXH8/KVS5zIHYPxtm1/EngjqdB9bJz37XA8LYL5i5jxj9/BzJpPPY6/zUZ0aJVIDZF4I/7ACgPf/ibVR9c84+NK50r8whI6w4Q5xZi2IAGUSmzYUTL0VQwDA08R7bitsc3ynstIS+am9XjjBMqZVfiVl+5Bs1JDtl5TVxSy0jR//7NHGK7G+5TwKdViBrM6R12FgJzfmmQQg5Vov3V0D5YwoRon9JeiCa81KyIkVtkxWKUSTd6EQN2Ia12NIcfEcH32uA7Y3OK2OBwOh8MxqYyr0FXVt6rq64C3Ay4S2tFyvEKRWZ/5F/IXXJbWHLOQS2K6kzJhEqMqRGpQQKMaQz+76aD7PCRm/T54naCW9sDSm48BxdosZjgWdm+9mx2DJYarMYFpY17hODwBT6Ajl1pjq5GwYEbErJ4I9SQVvJ5gs5ppYoRfr9vJtoEKu4Zr1OKR2mkd+YBiZs0t15JGndjJFHKQziXoYRbRiZPUtXciUVUGKhHVOMGqTmr25VZmfHYcFXwIeB5wMxAdbGURWSQit4rIwyLyYJapGRGZISI/E5G12XNP9rmIyOdF5DERuV9EVh74CA6Hw+FwTB7jKnRF5F0ichmpq5TLruI4Yuh+81/Q9bb3oGKwFogVtalYHPDy7PEKqeAtl8bleCIG5r4c8EEtvli6c3GqaGxaggiUJCoxVI2pxgnLOs/HEw9QAj+tqVuNhMTCyy/cnSakyjIzqaQ1dcUIxgi3P7kT1bRYeDMd+YDOfEAtsewu1RgoRwyUoyPOjbnVlGsJUVyPj5684xpJk0cc7kSAw3EQVqvqx1X106r66UNYPwb+TFVPBs4D3ioiy4H3ALeo6vHALdl7gOcDx2ePNwJfGvczcDgcDofjMBlv1+WbgfnAXwDP3Ad0L0TkShF5JJs9fs/Bt3A4RiiefwmzP/d1pKsXracxttARV1PX5bYu9OwLxu144hVg3isgUUgsORI6/YiCbwmMpRAAXgFI42lBWJC/gMGSR6kKgWcxRqlUhZMXVOnuSEAEMU21ccWiomzYVWJme0hHLs0vFyWWUi11Wy6EHt3FACNCdzHEM0J/KRpl/T2aqV/LVojNwDPM6si1zK3cMe2JMgvst0Xk2wdbWVW3quo92etB4GFgAXAV8I1stW8AL85eXwV8U1NuB7pFZN64n4XD4XA4HIfBeJcXmq2q38o6uu3juWMR8YAvApcDm4C7RORGVX1oPI/jmN74s2Yx75++zp4vf4HSL28BLIG19ARKbdkyklPPZPdwjZ7i+NSelXBmmon5qR8ASsGrF0ALaJ9zDm3tBYaqMaVaQi22zGlbypbh++ivDhDHWYVXo6Bw7Xn9fPmXvYAimrpBI1AIhBNmtyMiDWtkJUooZS7LHfk0PrcuprqLITuHqvSVa8wohvgtqmXrG0PuIHegyZKegnMfdkxL5qrq5YezoYgsAc4A7gDmqOpWSMWwiNQTWy0ANjZttin7bOsBd75rF3z964fTLIfD4XA4DpnxFrpXisijpIL0CeD/jOO+zwEeU9X1ACJyPelsshO6jqeF+D4z3voO2q98IUM/vwkdHqbw7AspnHMeVZtaQ8ez1Iu0n4DO/yPYcQvUdoLXRrXzfPr95XRZpbsYUo0TVNMMwKfO/j0e3HUDkU2oxWnCKc8IFxzr8YuHiqzfOYxVAVE8A4XQ5wUnzx91zI58QOAZBisxe0o18oFHR87HZOWHIBV2w9WEruLECt3QM2PWwT2U0kFC6ko84aV3st3n/MmtowvQV6qR8ye+jJLjqKQoItcAAwCq+pND2UhE2oH/BN6hqgMH+P2NtWDMKSMReSOpezMn9LqiDA6Hw+GYeMZb6HYDfwm8G/jjcd73WDPH5x5og127dvF1N2vsOBC59vTxyNr00URiLdVIyQcGMy7ixwfS2meq9zNcvQer0Jbz8MyI2IwSS1+5j6FkHZ6ppHVetYuu8HhOr+2k/8ltPLJ9CKvKsb1tXLF8Pt/7zoYxj6iqVGNLNbbkfUMu8FBVyjVLZC2BMRTCJlfo224bcz/TncFKhO8ZCi0oMTRQjgh905LyRo5pz61ADph1qBuISEAqcv9dVb+ffbxNROZl1txmj61NwKKmzRcCW8bar6p+BfgKwFlnnaW89rVP5zwcDofD4Rib171uv4vGW+h+CDhJVR8RkQRARH5PVW8eh30f0sxx86xxr5s1djwDEguxtQzXLPnAIxhHF18RoRj6DNdSt+W2UBpi2jdCR66LXHw6iUbkfA8Rn1ps6S56/P6KBVxxkm3UXvUkFbRjWV1EJGu7NGq2JlbJBYJJDNXYklQtXrbeZDoxV6KEKLF05Fuft66VbRBxdXQdE4OqfuPga40g6U3kOuBhVf1M06IbgdcAH8+ef9j0+dsyD6tzgf66i7PD4XA4HK1mXIWuqm4ineFFVevJos4jTVL1TDmkmeO9Z41f62aNHc+AKLH0lyMSqxTC1P13PN1oo8SyZ7iGZ4QZbeGofSdWGarEVOIE3whWwQj0tuf2aVtXIUCEzHLrEfr7l6y7hqrE2fn4Rhq1dgPP0FN3Ex7H301/OU18NatjdCHzgUpEJUqY3ZHf77aVKKESJXQXw3Frz/6oxgn95YieYjiukxoHY+dQFd/IpJyj45nxugPMGh+JiMi7gbMBC6xS1U8eZJMLgFcBD4jIvdln7yMVuN8VkTcATwJ/mC37CfAC4DGgBEytC+RwOByOac14W3QnkruA40VkKWnh+2uAl7e2SY7pTuAZettCBqsx5VoqOIvh+P1sAs/QWQjGjAv2jNBVDCjEHkpa37W/HNFXqtGdibGZ7Tl2DlUZqsYUQ49KloDKiFAIPfK+2SfZVE8xZKiWno8IdOZTkdxfjhiqxkeEhbVOlNhJyQ49XI2pxhbVyU9KZURcIizHRDFLVf8QQEQ+dbCVVfU2xvaeArhsjPUVeOszaqHD4XA4HBPEuJkt5P+zd+dxkt9loe8/z/e31K+qep2eNZNlskwCWUiIwxpFJGxhMbgBLijqkeuCV6+ee8XruahXvAdBj3qPCyIicI6AOyCiKCgiQoBAAkkIkJA9M5m119p+23P++P2qunqmu6enp7ure+Z5v16d6vpVTdVT1Z3qeur5fp9H5MqlLlqL21fVFHg98FGKkQd/oar3rMVtG7McEWEkChivhb09nNkarjWNAq+XXOaL3G7oOyq+19vD2UmLKnCaFQngUMUnyxUnwo7hCiNRgO+ERidlspn0bkfLbMq54vFsq4d4Isy0i+t4ZdV4upWwEVRB1ubl4azFaU5SPp8bOUcXiufdbfSdmnOeiLwU2CMirxGRH6DbIMAYY4w5T6xlRffHROQbqvq2k46/ea3uoOwYuaKukcaste5y4DxXTjRifCeMVIM169KbZjknmjHDlWDJDrwT9ZBGnNFJMo43Yqqhx1Do40RoxhlR4PW6GWe5LkjIj83FBF6xF7fiu6JaPVShnRT/LvQcs+V1p1sJo9XNU9ldb/155kannOfT82w21HaKbUNSfq3FFiJjjDFmy1jLRPc48BMi8iTgS8CdqnqHqnbW8D6MGTjnhKGKz2w74Xijw0gUrEnHXN9zBM4x005wjt7c25OvM1p15BWf2Xax/DjPlXrFI07zBU2pPCe9JFy16B7dTnI6aYIAlcCjHs5XikXKebIUe2NRGKmuwZ7kJYrfoedOWz1V2JDMc7NUlo1ZK6r6bhF5X3m2DowC7xlgSMYYY9bBwycavOO2B/jy41NUA59r94zyrH0TPHn3CLtHovN61diaJLoi8jTg34GPA/cBNwDfAtyxFrdvzGZTDYtOxjPtlOlWQifNGYnOPikcrQacaMZMtxK21eSU/bVdc3FKkudFAyuKBDjyi1FCiyXdIsJwFDAcFU2X2klOJ8mIAodPsRRbVamFXm/ObjvNyJrKtvrZNUmqBA7fO/V5qYYeVZb/gMCJ4G3EC3R5F5HvbfgfhFac0YzTXpMxY9aKqn5v93sR+dlBxmKMMWbtPXi8wY++73O0kowsA9UO9x9u8oEvHizeH0rR7PSa3cM8bd82nnnZBDtHIirnyUjDs050ReQDFB2QHwWuBv4DeL2qfuJsb9uYzcz3HOO1gEackS7STGo1nBPGayHHGx0mmwkT9XDRGb4V39GKM+I0p14p/jduJhmNTspsO2WsFizZObjie1R8D+1LzJvdMUdJRug5CD2acTH+pxmnRQK4yiXaZ1PtHqr4DFXWv2eek/nmXxstVyUtP2hYy47exojIS8pvfeDGQcZijDFm7f3Rp+/vJbkAmgsoSLmaLstyjk61+bfJFp+6+zCiigD10OPyncNcf8k4T9+/nct3DzNcDc659yFr8Q7yWuD7gTtUNRaRHwH+kGLWnjHnNBFZkIhludJKMuqht+oXC88JY9WQZpwuubS3SFaLxDYKPDwn1EOPRicl12IPceR7DEX+knuI++Orh8X1cqCd5rTLDtNprsy2U2ZJGY78VXWc7jbBOvn5mG4lJFnO9k1QyRyOAoYHdN/dCnKuxUxkY9bQjvK0A/zCIAMxxpw/VHNOdL7OZOc+FKXm72Qk2MdQsOucS6QG7csHp+m2Y1EtktzuKAdRLZNexcu0d15VaTZT7nrwBPc8cIL3/cv9oFBxwvbhCk++aIzrL5/ghiu2s2MsItqAgsN6WYvI30zxB/R6EWkCdwHfKiIvoNine3QN7sOYLaFdVlU7ScZoNVhy6fHphL4j9Islw0tV+oajgONzHWbbCWO1YgZvrazEVnxHJ82gs7JmR647NikKyPIcVzbDGg99jjU6qFIkvO2U7UOVM2rANdMqllmfktCuoHF1o5OSZrohldZmnDJXPr7VVq9Xo/ujLT4QsDcAZk29V1UTEbkcaA06GGPMuU9VeXD2ozTSw6R5hgIz8TEOci+qELgao+EFjIeXMhLuwXPnxxLa9bK9XuF4I178wvJ9lutlwt3z5Wl5XnJFFNI05/DxJkeONfjkFx4vEmRVqoHH3h1DXH3ZNp5y5XYu3TvKzu31NWvGup7WItF9OfA+Vf1OERkFrgeeRzHn9s3AN63BfRizJdQrRWV0pp1wohEzHC3dQXkl8lyZbMZUAu+UJbyeE+oVn0ackuVaVnX9cj6uLNjzmWQ5aaYrisVzbsEs3fFayIm+F9Fjcx0i31ubRlWnkeZKnK3/HN12kjHbTtf9fhbTfQrXcGKVMV3/n4j8DvAmIAN+YMDxGGPOcXPpQZrpEXLNyuJisVpMVVGETtbkUPN+Dja/gSp4EjLkTzARXcxYZQ81f9Sqvmfgtc/Yx//7j/fQ7OQUmWzfc6fzp92j0l/tLU+lrPpK93xenLqs2FbVTlO+8fAkDz44yUc+dj9CseWrXg24ZM8w1165nf2XbuOSi8bYsb2+MQ98hdYi0f1PwJ+KyC8CdwNXAf+oqj+6BrdtzJYTBR6B55hpJcy0k2LZziqW/EJRafWdo9FJ8Z2cst+1FnpUg/n9s84JUejRjjOGKvPLlltJ1mt6NBT5i3Z0XkrgOXYOV+ikeW/GbjvNaM9m7BqJVvW4Nptc57PMDZ+jK7LkfmpjVkpEfldVf0ZEqqrard6OALcC/xVLco0xG2AuOUhO2vvwtvtRtZapVlasnu1dnuQxJ+InON55gpxiCkLkhhmL9rAzupiJaI8lvst43v5dHJnt8Lb/uJ9mR9Hu+AxAHUgOKsVq5sWeRelLhqG4fnFaHHAnVYEpf36a5jTjNl+dbPG1e470EmUnwu5dQ7zqe67jWc+4eM0f75k660S3XJr8MhG5ALgOmFbV2846MmO2MM8J4/Vin221TE5X22xopOqTNZWZVoIT6c3zhWLfa/cm4zQn9B310KddNpLqLgkaiYJiTm47ZaqZUPGLRHilS6tFiiQ712LPbn/S3YyLMUf1ik/Fd6c8Rl3JGuWlnAdVTt9zZ93Z2hjg5vL0U8yvpPoEcKGqfllE7htIVMaY84rvqggeSkY3tVLtntKr8naPd7eU5uVppspsPsP07CwPzd5XVn0DRsNt7KxeyLZoJ2PhNkTsA+KuV994Md/5lAt5eLLBlx+f4rYHT3DXY9NMzSWo5qgTyMp3YyJI+c6smxN3h613FZXdxau/3VOnuqAaTO8DDOXgoVl+/22fZXq6zYtfeOVGPQ2LWrPdxap6EDi4VrdnzLmgW8lVVY43YkLfMVw5syW/IsJYOXZoqhUzUT91j+xsO6EVZ2yrh/ieY8dw5ZT7iAKPiu9oxsU+4raXM3SGlUTfud6LYeA5js0V+3dzVaZb5Xxe3yMK3WmrxqHv8PT0z8NGfJDbP1LIPjk2W9Q/ishngN1lU8gvAX+rqm0AVf3jgUZnjDkvjIeXc7j5hTKJWlnvie5n2nkvWZpPgBVI8oQnWoc51DxS3qIQuoht0Q72VPeyu76HihfhzuPkN/Qd+3cMs3/HMN91w0W94w8fb/CVg9N88aET3P3QJIeON0lVcbkUvUG626ekqN72V4SX0q32Sl+VFxb+pOM44/1/eRfPf94V+P7gfi5bt42WMVtM2DcSaLS69PifxThXJLszS+wjrZV7c2fbKeP1sJes5bkuaKwkUuzrrQZeL4HspBlZXjQbON2fo9B3jFQDplsJU61i327fql+UYllzrtpLdAPPsdjK7ZXsF3YO/A1s0DSoJcTH5jrUQm/VS9yNUdX/LCKXUVRxLwW+HbhGRGLgblV91SDjM2az0ObDMH0H5B2oXwZDT0L8QfXdP/f4rsq+4Rfy0OzHifMYB+SivSpuP13kdL7KO5/sptpfDS6qv62szSOzj/Lg7KO99yE1r8bO2i5213azt76Hql9d50e7+V0yUeeSiTq3XHdB79hMK+HeR6e455FJ7rj/OA89MUurESOZ9sq8uRNcuVd3uY8r5KTTfmmaMzXdYvvE4Pbt2rsqYzaAiDASBVR8x0wrZbIRU6/4vRm4K7HcElfPCUORz2w7pZ1kRIHHXCelGafsGDq1utuf/HbSvNy/mzGa5adN9rpLlqdbCYHn0HIObOA5slzJVedH5uTKXCfFc4IqvVFIK9XfFGs9STlHdzgazEtiniuZdaMyZ0lVHxCR56vq17vHRGSIYgygMec9Pf4pmLwNNCle+FsPwYl/Qb061K+EkRshmLCVPWdpKNjDNePfRyM9wnT8GJOdR2ilM+RSLHXVXl329DuU+jpoLDjNteiw158Az6RNpqcf5GvTD/b+cc0fYk99F9eMX8mO6ra1faBb1Eg14BlX7uAZV+6A5xfHVJUHn5jlq49M8ZUHj3PvAyc4cqRBFmc4BBXtNbXKnRSNqsof4JL/tygMD3iEpCW6xmygiu8xUXfMtBPaSUZtlfN2p5sJ4oq9t139Vd2K7wg9R0OhWe6fXUo3AZ9tpzTjDN/lhKdJeLv7dQGqgcdMK6WdZgxHPlmZ9HbVKz7tJGOukzLXSQk9x1Dk0+gU3aInNsEc3YrvURka3IgDEbGuy2ZN9Ce55fk5wPpmmPOepnMw+WnQbH5PjOfKd+ltaNwFzbsBD63sgaHroXYFIjb+ZjVEHEPBboaC3eytH0A1p53NMR0/ztHWQ8wmx0k0AyiqvrDscudysWwv8c0WTszpNb3qnqZ5cdl0Msf01Bz3TT/EU7dfw4Ed1631Qz0niAiX7Rnhsj0jvKSviVSznfCNR6e5/+FJ7vn6Mb7x0CTT0+2i70z3U4ZFml2FocfNz72MyoBn8Fqia8wGc04Yq4XkedGcKi9H6JzcUXn52ygSWK9citw1HAXMtBOyXItZvF6xJ/d0CXU30esEjk5ajCI6XTj9y2yHIp8wdUTBwmZU7bTYDwwwUQ9ppzntJOtVfNNcaSfZok2soNh7nOdsyBzd7ocPO4c3vpO0rORjbWM2gIi8E3gZcERVry2P/QrwY8DR8mr/t6p+pLzsF4EfpSiu/O+q+tEND9qYlWg9AngUv6oUf0iF8gVY5k/JITkEU4dh+p9RNwTVy6B2LRJYRXC1RBxVf4SqP8Lu2pMByDXjWPtRjrcf4UT7MC1tFXlT+R9VWVDH7U+Cu1Vcljg9+U9qphl3HLuH/aP7GA1tqfpK1aKA6/Zv57r92/mO5+/vHT8+1eLxgzN8SjnSuAAAIABJREFU7b5j3Pu1ozzy0CSNuWJLm+c5nv+8y3nN990wqLB7LNE1ZkC6y4ebSZEMdpKc4chfsKx4KcNRQNa3LLibJIe+Y3tfhbRW8ZhqJrSTfEV7Yiu+R+AcrrxuK87IVKkvkyinWc6Jcil2N3GfaScMR8GCJk/NJGO44p8yD3i6lSBSVImr5WimrmyDlvRmudKKs3W/n6U4kQUjjowZoHcBvwe856Tjv62qv9l/QESuBl4NXANcAHxMRK5U1cH9z2TMUlz5t1Fk4deCJBdw3sLL8gY074HmV1BxEGyH6n6IrkTc4FckbWVOPHZW97Gzug+AXHNmkuNMtg/zRPNRZuIpEtJyuXOhv1PwyX81T672nkp5ZPZxrpt40to+kPPQxFiVibEqT7l6V+9Ynitzcx2q1YDgDIo368kSXWMGrJv4NTopcaNoVBWuoEPdaDXgRCNmppXguYWzWFWVVpJRC318l9JKshUlurBw/26cFRXYVjmXd7Hb8L2iw/JcJ8WJ4DkhznKONzqMVUMCz5FkxT7gdpIxEgVEgYcq+K6oSHeSnHZc3E/Fd4zVNnbcjg44yQx9N/AYjAFQ1U+KyL4VXv1W4P2q2gEeFJH7gacDn1mn8IxZvdo+EA/yuDywyBLZZRPgMrVKj0FjEhqfR10AwW4Ir4DwYsRtjjf3W5UTx1i4g7FwB5eOFK0FsjzjWPsQB5uPcbR1mLm4QYbiycKqLiyfBBeXS2/soll7zgkjIxu/Km45lugaswkMVXxCr9i7O9mMGa0Gp13KLFIsgZ5qxpycI7WTnNl2kXiOVoMzagDVb7QaUA08ZtsJM+2EZpwyHJ2aiI9UffJmUckdrQZsq4VMtZIiNoqEdqQaMFNWb/sfQxR4xZ7f3KeT5r3LVZVOWuy2Obl79FobdOORk6vcxmxCrxeRHwRuB35eVSeBvSzc//tYecyYTUfEQy/8Xnjs/aDtcn2rFsls93Tpfzx/Kt58AqwpxI8XS52boK4KwR4kvBy8CXA2I/1sec5jV+1CdtUuBIr3BnPJLMfbxzjYPMjh5hEaaWvBcmUnLNr3QoFLhy869QJzzrJ3V8ZsEqHvmKiHzHbSFY+58Zws2sypGnq0koyZdsL2+qldl884rqEK7aRodKWLfE5aJN0Bk82EmVbCeD3sJbtJlve6MvfHmuRFEqta7FV2ThZUjPuXLB+b6xT7iAO35H7es2H9NY1Z1h8Cv0bxPvHXgN8CfoTF/9dZdGmCiLwOeB3AxRdfvNhVjFl3UtmFXvbT0HwQZr4MnYeBlKIdEpzyqTGysMorbmGVtzu31ZUJMAmkj6Hp4+XVIvB2Q3Ah+DtALPE9WyLCcDjCcDjCvpHLesen4xkONg5yqHGYJ1rHaCRtMoqflCceCjzvgmdR9TdXxdGsL0t0jdlEumOIuqaaMaHvVjRftdFJSbK8t+x3OPI50YiZi1NqgcdUK2E48nvzbc9UFHgLkszZdgJAPSz2FYsUs36bSYZfnh+vBRxvxNQWWfJc8T3aScaxuZjhyD+lgu17jmrokaQ5ge9oJxntNGO8FhL60kuQ10L/h/WD0OikNOJ0II2wjDkdVT3c/V5E/hj4cHn2MaC/PHIhcHCJ23g78HaAAwcO2Dp9MzAiDuqXF1+AJlMw92Vofh2yuflkt9slUOn747BgSdL8qXT7WJz8xySG7FHIHiuaX7kKeHvB3w+utr4P9DwzGo4wGo7w5PFi/22uOc2kxWPNJ3A4Lhm+gIpne6rPN5boGrNJ5bmiCrPtlDjNGYmCZZfvihQzcWfLRlBBmSi24ozIL/bENjrZqhPd4j7m718pmlW1knL/buDhnPSW4eblTN1ucyzVonlWNzEeiXyioBhrNN0qOh4PRwuXWfcn/cMVnzjLe8umZ9pFYt9tYrXa5dndx+U7WdEHCuulWEW3dsm7MWtFRPao6qHy7HcAd5fffwh4r4j8N4pmVPuBzw0gRGNWTYIxGH8OjD8H1QyaDxRjhtInQPP5pc3QbQd88i2cdLY/2S0rwb19oQlkDxWJb+VbwI2s2+M63zlxDIV1nhRePuhQzABtiURXRL4H+BXgycDTVfX2wUZkzPpzThivhzTjlLl2yrFGp9fIaTG10CfNtZyFWyS5Q6GP5sWqqlpYNIyK03xFza5OZyQq9u/OtdPeDN6Rvv27U61izFF3j3C3s3EnzRmrBsy058cONeOMRpyWDZkWT/REZEGSXvEdea5FNbRc7l0LvTMa09RvW31wS8q63alzBc/yXDNAIvI+4LnAdhF5DPhl4LkicgPF51sPAf8bgKreIyJ/AXyFYv3nT1nHZbOViXhQ3198AZrOQvMr0L4fdA7y8g/qovt6F2li1U1yT/kAM4XkLqjctEGPzJjz05ZIdCk+Pf5O4I8GHYgxG60WFo2qplsJs+102T2qI1FAlhVNoZwrlgd3Z9B6TmjEKc04JfTXJqkLPMd4PaSdZGXX5fnLhiOfyUbMZDPGc8L2oUrRPKsVc6JsoBV6xWOpV/wFs35n2gkV39GOc5CiKdbJuk2ssnIWbyvJFswjXm4+72KmmgnKYBLe/gZctmPYDJKqfu8ih/9kmev/OvDr6xeRMYMj/jCMPANGnoHmOaSHoXUvpIdAy+7NmlPM5+1b5ny65lYA+Yl1jt4YsyUSXVW9FwbfGdWYQfE9x7Z6SJYXS1tVtdfg6WRjtWLsUNnrCSgaO821U6KgWMqcZjn+ChterUQ36eyaasbFfuNqwHRZ2VXVsuFWhclmTKZKnM0H2f3/O8+VOM17c21PtyTZK0cU1St+b0RPnOYL5vNGvnfaKnZ/LBut+9K2ASODjTHGrII4B+Ge4gvQPIX4EejcD9lx1M13cJb5Ty+XucUt8RbcmC3tnPu/zDo7mnOViOCX61obcUajkzJUJngnX29bPVy4n1aVdlpUOEerwZomuYvxnBTLlJP5VYwz7bS3jHlbLeToXGfRD7ydEybqYe8xZuXy5P6K71K6l4e+Y6wW0I7n5/O6sjnWej/21fDKMUvrOEHJGLMFaJKQt1u4oWH7cH+TE+dDdFnxBUWFN34Ikkchn6Q30XVBc6suB/6lGxuwMeehTZPoisjHgN2LXPRLqvrBld6OdXY054Na4JFlRXOnTpqfMiu3+wapnRRJ3lgtoBZ6NONsQxouDXf375bxAUTBfILpnBB4rrdItxVnRMH8MmORoqlVM06LJlpxSjXwzqgrcsX3qPgeqsV83naS9Z6jVpyhKJHvret83pXyPcdodfMl4MaYjaFJwuSfvI3Gv/4L5BmuVqP2vBcw8orvxhsdHXR4ZiUkhMqVxRdA3iqS3uwgMEOR+JZLnL294F85uFiNOU9smkRXVZ8/6BiM2SqcE0ZrAWHsmG0nHJ/rMFJdvFFVnOXMtFJGqj7tpOjKHAXFTLmhyvq9BPieY6wWcnimDUDgHKpKKymS7W7immQ5M+2EZiyM1cIFCbsngucJw30dp+c6xbiklSaoUlZL+5+bTlo0xZql2PO82gZWxhizFk783u/Q/OynIYlBIJ+bofF3f03j7/+GYN9ljH7fa6lcf6NVebcSVy2T3m7i2wRtgBsCqQ40NGPOF5sm0TXGnLlqWOw9nWkl+Iskft1mTXOdFC8WhiOf6VbCXCdF4IwSxtXqNpJy5XLm2bJL8/ahSi+pHa0GzLQSTjRixmpBb+9x4DucSO96cZrT7BQNtYYq/qqr02O1kCQrqrztJKeTJmvwSFdPVTk626FW8df1wwdjzOaTzUzTvO0/IEnKRr06P46VnPyR+5l8y39BPJ/oac+mfusrCS6xkSlbjqsBNjvXmI20Jd5Rich3AP8d2AH8vYjcqaovGnBYxmwKXjmGqGu2nVDpa75UrxRjhxqdYo/scOTjO8dkM6YRpwxHp3Y0Xkv91dIocJQFXo7NdYgCj+GKT1TOwZ1qJkw2YkZrARXfWzBHF4q9t9vqYS9ZbsXF7N3VjEsKPEfgOYajosLb7GR4npBmOZPNhChwVANvQ/b0dqs0umzjEmPMuSg7fhzxfTRZ+IGbiPbGr4oAeUr7c/9G5/OfxNXrVF9wK7UX3oobtlmsxhizmC2R6Krq3wJ/O+g4jNns8lzppHm5F9djqOIX3Y8jnywvuhx3k8fILzow10N/Xau6adnN2C9HCe0aiTjRiHsV1U6aMV4LCcrO0lPl6KGl+H0jjWbbKTPthO1DlbOKseJ7+K7YM5yp4juhGWflTGKhGnrlUuv1e55ExLouG3Me8nfvgaxv/HC3mlt+xtZ92REpXyBU0cYczQ/+Ga0P/U+87TuJvuVFRM97GW5kbOMCN8aYTc66nxhzDul2LI6CovHUiUZMmuVI2XG4m+RmedGFWYFWX2fk9TBTVl/7jdfmK7Wh53rLrgWYGKr0qsCHZ9rMtBdfVhwFHtuHQsbKpdGqxTzd1TrRiJntpL3ZwDuGKgxHxWeBc+20l3ynWb4ulVcRil4lxpjziqtWGX7FdyFhuTKn26SX8nVBFjbsFUdvibPzQCcP0/q79zD1869i6g2vofUPf042dXyDH4Uxxmw+W6Kia4xZORFhtBpQ8R0z7YTJZsL2oflxQ2mWM9tOezPtuyOL1ov2zxTsi9GJIFLsl+1e73gjxnfSSzCh6JA8XFamT9Y/cqlVVnibccZw5C86Y3g5eZko9+8proXFPuAs117Ve6adkmY5lcAjChwVf20aWTkRclu6bMx5aeRV34+3YyfT//Nd6OwUUOa72k1yi9eG/uqu807ez6voicO0P/AO4g/+CW5sguCbbyF4zsvxRsY3+iEZY8zAWaJrzDkqCjwCz5Hl84lmniu5Fp2OuylVminr3f9osRW/IvQquc04xXeOeqUYSXS8EVMN5xPIoknVwo7MJ6uFPoIw2ymaWlVDb8kE+Uz13+9QxaeVFDOC20mGk5R6xTvrsU3945eMMecXEWHo5hcydPMLib9xH9PvfTfxPXcgUmz9UD3pdVRO/vfMV3kdgMLMUZJ/eA/JP74HVxvCu/4mgue8Au+i/Rv0qIwxZrAs0TXmHOa5+Y7FzThlrpMyEgUMR0FvSfBcJyXNlZHIP/m907oThDxXGp0MJWVbLWR7vcJcXDSa6spy5Xij09vLu5Rq6FHxXe/faw6jtbVtthX6jtB3aDQ/n1eY/yChlWS95lpnYiPmGxtjNr/w8v3s+H/eRN5u0/yXf6D50Q+RH3sC0F7C23t1kYWnC/bzynwCrK050s9/lOwL/4z4Hu7S6/APPB/v+ucgYbShj88YYzaKlRCMOU+EnsMTYbqVkOT5gopp0RQq39B4hio+lcDhnPT27E42ExQYiQImyk7SUeCxrR6iyopidE4YiQK21UPqleIxZrn2mmKdzkr333bn847Vwt5zGWc5c52UY3MdJhsx7SQ7o/281nXZGNPlooihl3wHO3/3T9nxB++l+u2vQqq1Ys5u96Wi7yVDpPu1MMkFEF8QJ8X+Xs3JH/gS8V/+N1q/+mqyr35+gx+ZMcZsDEt0jTlP+GVX41pYdFuO07zYJ0tR+Z3rpKe9jdUYihafdxsFXq/plO85xmshqspkMybPFd9zxZzgslszFHN04zQnW0F74sBzvdFAc520aDbVTpZMJl1vxM+qHmbvMU3Uw95Ip+lWwtHZDvkK4p1tF9c1xpiTeaPjjLzyh9n5x3/D2C//LpUD34J6wfzrlS792jW/rFn6s+HiwqRN53+8CW3MbMTDMMaYDWVr5Yw5j4hIb+7sTCtlpOoTeo5OmheV3iw/4yZOp7NUs6ZuN+juEt/Ac4zWAqabCXGWE7mFc3RHooDZTsJkMwaKCvVYLVjRHtzhchNyM85oJznDkb9gvm9xHaWdNEEdEC5yKyvje44hzzFU8YnTnCTL+xpZJQjz+6e78sMPkn3qr+kcOUi85wL8m74Ht+OSVcdgjDl3hZddRfjT/wWA9OH7aP3de0nv/ixoSq5FBWPR/bzLvFRmd/8H/jNuWa+QjTFmICzRNeY8VPE9tg/NV0qTcllvM84Yra5tohunOSKckkBPNhPCMrk9Oa5uYqiq3H3nIT758fvJM+XZ33op+6/fQyvJiLOcE42Y8VrI4fZxPnnoSxxtTzIWDnPT7qdw6fCe3u06V3SirgYeM+2E6VZCrlpUmjUH/TqeHGSkIjgB8gtArly8i9YZ6O7n7dIc2mkxn9dzQjXwCJ/4Gvlf/xqa5KgGpDMPo/d9BiYuwV35TPxvugWpDp9VHMaslIi8E3gZcERVry2PbQP+HNgHPAS8UlUnpXgB+V3gJUATeK2qfnEQcZ+v/Ev2M/z6X0bzjOTeO4g/9VHyez6Npp2iirvg2ku8nuUZ2mltQLTGGLOxLNE15jzV34m52df4Kc3yNX1hmGkn+E56Y4ROp5vkdtKMP3775/jiJx8iK+fwfukLj3PjMy7idT97U2/Mz1eOHeLvH/sk4hWPoZl2+OsHP8GL9j6N6yauWHDboe+YqIdFw6iy0pxlDyAc5EQjZ6gC9YqAPgZ6AtwNINW1eioYrQXkuU87LSrLc52U4GN/Sj3t4Cji0XINoh55gOzII2Sf/ivksm/Cf9IzcU9+NuKtbXMtY07yLuD3gPf0HXsD8HFVfbOIvKE8/wvALcD+8usZwB+Wp2aDifMIrzlAeM0BALKHv0b8bx8gu+vTaLuBONA8RxZbseMc3pOetsERG2PM+junE93jx4/zrne9a9BhGLPp5bky20kJPvNpACKRXsJ5tmbbCZ44ahXv1OPOUQsXX9r8xJE5PvTXd5NlOX5fH6l774dHD3+aq67eRZrl/Nvj9zATzxXjijzK0RrwOT7BM3dezbZodNn45lr3kuv8uKWhCngiFF1e/ga4GNz6VFSzLCf7x39FRGmrT1wmuzUSPHKku7f3tvvA/SWEEbL3SbidlyDbL1yT0UnG9FPVT4rIvpMO3wo8t/z+3cAnKBLdW4H3aLHx/TYRGRORPap6aGOiNUvxLrmK6g/+AgA6O0n8qQ+T3f5RmDm28IpBBf+ZL8XtvGgAURpjzPo6pxNdY8zKdJf2Nsvzs520GDc0wETq6OPTvcZRuYDra7Ty7//yDS7bv50g8Eho4vuQZZCkRbLrlbnz5458hefseSq1YInxGapUgpxWPH+o0YF6RfGEsrvLw5CNgdt71kuZT+Z5jjwIIe0QkPUS3SZB8dhVqZESkEOWoq059L7Pkz9wJzI0jrvoGmTHXtzojjWNy5iT7Oomr6p6SER2lsf3Ao/2Xe+x8pglupuIDI9TueU1cMtryNtN8q/dTnbvZ8F5+N90M97l1w86RGOMWRfndKI7MTHBa1/72kGHYcyWoarMtFPa3/8adgxV1qSqe2yuQ+DcKfNsj852CH3HaHXxpbj/tvc+nnji82R9Y4H8THFa1FpPHLqAX3jjzcT3jjMVz6EKzVYRbyVUfL9oyqK+z6uvegWRX1k8wPyzpNksxxsLDw9XlFpIkexqDnkAwbPBrd1SZoD0igrZ5z4IadFxWRU66pjKQigfuqc5TnOGiAnI+kaKPAiTD+NGr8UduAVv7+W48V1rGp+Z98M//MODDmGzWewFYtHevyLyOuB1ABdffPF6xmSW4aIa7vrn4F//nEGHYowx687GCxljekSk1zQqV6WdZByf66x4Bu2ZGI58qsHiy5YBDjzrYlDFyxVX3n3mBAVU4K4vHeLuu57gWbuu7b3b9sqP7jqxgBYF2DRPef83PkKWZ4vdDciViDhQqFcg8pXQU2bbSpz0P+4OxP8C6aOL384qec9+Je7a54IXUAy5hIpm7KLJTmkyShuPjEQdkxoxqREt9clUIE8h6ZDd9wWS97+Z9m/9GJ33vwVd6rEaszqHRWQPQHl6pDz+GNC/5vVC4OBiN6Cqb1fVA6p6YMcOW4FgjDFm/Vmia4xZIPIdAsy2U2ZaCWmunGjENOPVzdkdiYJT9udCMWKnvyPxyepDFV76imtwCl6u+KmSC6SumAGpwO/97n9w7fhlXDV2MSIQhUoYFAWlTiy9uZLNtM19Mw8vfkcyjnMHGIl8Ik8ZrQrjNRirwXQbpls5SdY3rDL9MmRHFr+tVRDnEbzwxwl/6p34r/wVZGIfeCEgCEpExjgdxqVNhYRchVlCjlPliNboqFfU0PIE0oTsnk+T/PvfrFl8xgAfAn6o/P6HgA/2Hf9BKTwTmLb9ucYYYzYLS3SNMQs4J0ShR5wVDZqEYjbsbDtlshGT5YuuTFxS6LtFZ/MmWX7a23r1q57C6HgVLXJbRCH1hFwAEVqthEcenuJlF9/E7mgMB1QCqFWUPIdORxCBXHMemV36/be4EarRTfjetnKpshI6JfKVdgInGnCi0Y01h/S+M3oOVkKiIbxLrqPyn36b8LVvwb/lJ6A6AkGEAgEZoxIzIS3GaBdx5so0FY5S46jWihtKOmSf+bs1j8+cH0TkfcBngKtE5DER+VHgzcALROQ+4AXleYCPAA8A9wN/DPzkAEI2xhhjFnVO79E1xqxOPfRplSOH5rsR+zQ6KUmW47mllxyfrJNmuL4l0V2TzZgo8BiJlh6X4zzH//XGm/mln/97VMHTojGVlvMhPV/odFKcOL7vihfxzq9/gEbawXcQOO31jvJEGApqS96PqpJkHr67EcejkN+LoAxXoOIpk3M5ifYl5bq+Myfdzn24nfvwrr+Z/IE7yR+9l/S2DxQPPGkTkrGTJqDEFEuaUel9MGEzMc1qqer3LnHRzYtcV4GfWt+IjDHGmNWxiq4x5hSeE3YOV3rJaZLlpJkyMVQhKvfVdtKs1xV5OTOtlGZndXtGD8+02bZnmOe+aD84AScEOTgEdSDiuOzybQD4ns8P7n85VefjBHy/HDcEOHFcs+2KJe8nzZXJZkyc5eBdDN43Q+5BnhO6nF3Dyq4R6KX9bnxVj+dMiefj7T9A8LzXEP3c/yC45XV4N74YJAApfg4BGTulwU4axV5lEbwrD2xIfMYYY4wxm5UlusaYRYkIw9H8oo/+xDbPlelmwvFGTJyuoFHVKpo3d+9LgNe89gCXXLGNIPJRBy50hBWfH//JZ+L789XlyK/w6itewvZolIrzqHg+VT/kRRd9C6Ph0rNwu/l6b3qQq0P4PJDdZW6rzNe2PfCvOvMHdJYkquHf+ELCb3890c/9Cf63fT/uyc8CF9B7KfdDqA4TvPi1Gx6fMcYYY8xmsiWWLovIW4GXAzHwDeCHVXVqsFEZc+5rJ0UlNvI9hiIfrxw35JwwVguZbiVMNmPqFZ+hyhm+nJzBVt8w9PjVN72Qz332Ue684yBjYxHf9rwr2HPByCnXHasM831XvIypzgxJnjIRjeFkFZ/piQfhjZAdKvbkaruo5PpPAjd05re3hmRkguC5rwIgP36Q9NMfIj/yKO6Sqwme+VJkaGyg8RljjDHGDNqWSHSBfwZ+UVVTEfkN4BeBXxhwTMac8yq+RzPO8D3pJbmtOMNzQug7Juohs+2URiclTnPGawEiKy/fnkmh1/c9nn3TPp59074VXX+scmoSvBSlWz1eJCJvT/G1SbmJCwhf/uODDsMYY4wxZlPZEkuXVfWfVLU72+Q2ill9xph1FvqO0HM044w4zWknGY04ZaoVk2Y5zgmjtYDRakDouzNKckeqQW+/rzHGGGOMMWtpSyS6J/kR4B8GHYQx54taxSPXolnTTDvpdUmeaiXk5XigKPB6S5fjNGe6OX/ZaDWgHi4+R3exsUML7jv08L1VbPA9Q75zjFYDfLf+92WMMcYYY9bfplm6LCIfA3YvctEvqeoHy+v8EpACf7bM7bwOeB3AxRdfvA6RGnN+qfgevkvJVFGFVpIxVg2ZasZMtxLGTlqunOVKJ82IGzkjVZ+Kv3jVtpNmeCL4SyS7RTOspUcPrSXPyRmNTDLGGGOMMZvbpkl0VfX5y10uIj8EvAy4WZeZaaKqbwfeDnDgwIEzaHdjjFnKWC3ECcx1UppxRjXwGI4CZtoJnTRfsAS5WlZhp1sJU80EJ2lvaXO/6WZCNfQYXqaqq6pntBx6tbJcSfOc0Duz5dfGGGOMMWZz2hJLl0XkxRTNp75dVZuDjseY843nBBGhHvo4EWbbRZK6rR4uus828IpGVdVwftnzyRSWTSqzXDky26EZp0teZ60kWc5UMyHL7bMxY4wxxphzwZZIdIHfA4aBfxaRO0XkbYMOyJjzTZrlHG/EVAJHFHioam+PbbdRVT8R6e3nrZZ7dNNsBTN3T7JoJ+Q1Nj9H16q5xhhjjDHngk2zdHk5qnrFoGMw5nzXHS+UZspIfeHe2blOSprleE5OaTDVzR3zXDnRjAmcY6S6MXtvjTHGGGPM+WmrVHSNMQMmItQrHkmW9yq4s+0EgLFq0ZBqueW/zgnDlYAkyzne6Gxk6Kc1P0fXGGOMMcacCyzRNcasWDXwEIFmnJLmSjPO6KQZzgnjtQBVZaoZs1S/uO6+Xq8s88ZpvuR1u8dtNbExxhhjjDlTlugaY1ZMRKiFPp00p+K7sjFViqrie47RWtBLgLvGayH1cH6XhO85ttVD6hUfT2TJfbFOpLjOBsy2rfgeY7UAZ3N0jTHGGGPOCVtij64xZvOoBR6BV+zFHan6TDUTmnFGvVLMzB2vyYJRQifv2YUiYfadEJXXS7OcdpozVJl/SXJOFpxfTzZH15jTE5GHgFkgA1JVPSAi24A/B/YBDwGvVNXJQcVojDHGdFlF1xhzRpwTKn6RFFZ8j4rvaHTS3t7cbpKb5Uo7yWjFGXG6sNuyqjLdKmbwArTTnEYn5UQj7nVmVlXyXJdc2ryW0uzUrtHGmEV9m6reoKoHyvNvAD6uqvuBj5fnjTHGmIGzRNcYsypznZTZdsJwFDBSDU5ZYjzXSZluJcy0Ezrp8knkUMVntBqQ5jknGjGtOCPNlaNznV4yvJ7aac50K1n3+zHmHHQr8O7y+3cDrxhgLMYYY0yPJbrGmFXJcqUVZwh0kchuAAAWn0lEQVQQBacu+x2JfPwy+V2qE3O/KPCYqFcIPMdMO6G1gRVWVbWOy8acngL/JCJfEJHXlcd2qeohgPJ052L/UEReJyK3i8jtR48e3aBwjTHGnM8s0TXGrEo99FCgEacAtOKM43Odvm7JwlgtBKCT5uQrSHY9J4zXQ0aigMi3PbPGbDI3qeqNwC3AT4nIc1b6D1X17ap6QFUP7NixY/0iNMYYY0qW6BpjVsX3HJHv0Yoz8lxxDtJcafR1XO5fzjzbSXvfd7fdLjU6qBrOJ7nd5c/ruVdXwYboGnMaqnqwPD0C/C3wdOCwiOwBKE+PDC5CY4wxZp4lusaYVatViqpuM8mo+B6R79HspL2GUlDkj4HnGIkWdlQer4W9plbL8ZwU1eJGTJKt/35dY8ypRKQuIsPd74EXAncDHwJ+qLzaDwEfHEyExhhjzEI2XsgYs2qB5xiq+L1Oy0ORT2cuY7adMl4vli1vq4e4cl6uqtJJc6LAWzCCaDFeOV4oCjzSvGgWNdmIqVd86ms8dqge+rZU2pjl7QL+tpx77QPvVdV/FJHPA38hIj8KPAJ8zwBjNMYYY3os0TXGnJX+pNNzwlDkM9tOSbKcwHP4fXN0G3FGo5P2li4Hniy4vJ/npHfbnvPYXndlB+ecemVtH0MxR9fWLhuzFFV9ALh+kePHgZs3PiJjjDFmeZboGmPOWprlNJOM4YpPLfQJPEdQJrCNTkrgOULfUQ89kjRnpl2M8hmO/CUTXVUlyxXPFdVg54rmVt29unmuxFm+aMfnM9VJM1QX7x5tjDHGGGO2Htuja4w5a2k5aqidFHtou0lunitznZS43FsrIoxWg17fp+XGDsVZXu7LXXidcukkjbiY0zvdOvtGVa04Y66vWZYxxhhjjNnaLNE1xpy1KPDwnfRGDQG0k4xjc51TrtutzAI049XPyh0q9+oW9xMTp2fXqMoWLhtjjDHGnDss0TXGrIl6xSfLlXZSJK+h55bMHrv7Yc+mqZRI0axqvEyaJ5tx777P1DpOLjLGGGOMMQNge3SNMWsiCjxm2ynNOCMKPFzZNXm2ndJOMoYWSWq9chlyO8lO2R+70uQz9B3bh0JmO2mRXJeSxx9n5iMfJn3iCaLrb2D4+S/A1WpL3o4sNdTXGGOMMcZsOZboGmPWzFDFJ8lzVBURoVomv1mu5Lniykquk2LskCdCO8mYbiVkuS5a4V1J/ikijEQBUDSxOnTb7cz+zlupJB3IMlp3fZmZD36AC377d/BGRk/591bQNcYYY4w5t9jSZWPMmqmGHiNR0KuOighjtSIBTfL5PbQiQuA5nBOiwCPyPeY6ReVXVdG0gS85w5Hfq/quVJ7lHP+jtzGbwoz65ACdDtmJ4xx+05tofu6zaLZwifNoNWC0GpzVYzfGGGOMMZvHlqjoisivAbcCOXAEeK2qHhxsVMaYpXTSDE+KGbkV32PHkOtVc6HoxtxOM8Jyzu5I1SdrKtNH7mK88a8EdPAQqqNPhZ03Aysf+5MfPcxIc4pGltHyQialynDeIcxzOl+9lyO/+Zv4O3dywW+8BVevA9gMXWOMMcaYc8xWqei+VVWfoqo3AB8G3jjogIwxi1NVplsJc50U1WK8UFqOEeqkRSU1V2W2PX9cRBjVR5FjH2OqGaN5Rp6nJJN3oE989IzuX6IqmufUNGU0beOAhqvMx9dqkTz+OEd/53dIDj0BFHuEV9vIyhhjjDHGbD5boqKrqjN9Z+vYljpjNi0RYaoZ8wf/cT9fOTxF6Hm88oaL+O4bLuKRqXtp8xWca9Fsb2O//zSi4AIA3PFPMR52yFUQgU4qTMcwoXcg0YXI+FNWdP/++DiV/fvpfPVr+HnGWNYiR1AtGlxlOPw0pXnbZ2je/kWia6/F+5mfJ6xFpzTEMsYYY4wxW9NWqegiIr8uIo8C349VdI3ZtI7Otfmpv7md2x4+xkw75ehch3d+9gHe+onbOBHfyWy7RaY5newED8/+E830aPEPkyl8B6FXfI4VZ+XLkyoc+jA6940Vx7Dj/3wDwd69SBQB4MoWzk0XMO1HtJxfJL5xTPuuuzjxp+9CbJKuMcYYY8w5Y9MkuiLyMRG5e5GvWwFU9ZdU9SLgz4DXL3M7rxOR20Xk9qNHj25U+MaY0l/c8QhxWjSe6o4Iaqc5//zVFnGekSs0O0VSqWQ8PvfJ4krRnt5tJDm0sr7EU1M48m8rjsHfto0L/vvvs/vXfp1g78VF62aFap4QaMachEx7FTIETRJmP/UpHvrB13Lsj95BHsdn9wQYY4wxxpiB2zSJrqo+X1WvXeTrgydd9b3Ady1zO29X1QOqemDHjh3rG7Qx5hRfOjRFkuspY4Fyhb/54hjVUEn7kthOPsWJ9ldg+7eC+KAQOKh4xVrjbjWW+MQZxSEiVK68il1vfCPe6BhSreKA4bTDUBaT4jHtR8Tiis0QrTbTH/kHDr/pv57dE2CMMcYYYwZu0yS6yxGR/X1nvx346qBiMcYsb994HaFINN1JrzB3HaqCgO8p9YoS+gDKsfYXoLITLvqB4oqqjIUpOyoJrrslP9q1qniC3bu58B1/wvafej3+hRcBQpSnjKVtPM3xtG/LfxzT+tKXiR97bFX3ZYwxxpitJc5S2qmt5joXbYlmVMCbReQqivFCDwM/PuB4jDFL+N4bL+Hvv1JM/yqSXQUURAg8ZarpccFYWl5bcUCmMTkJXnUvuv15cOQToMn8J3ESwM5vW3VMLgwZ+tZvpbJ/P4//7M+Rdzp4acpI2gFgNGkj3YTa94kffpTwwgtXfX/GnE9E5MXA71LMAXuHqr55wCEZY8xpNdM2f//IbTwwW0xgmKgM89KLn8me2sSAIzNrZUtUdFX1u8plzE9R1Zer6uODjskYs7hLJ4a4bu8IxXrgYgmzc4LnKWkujNfS3mWOYvuskxBHAIBsfxbsuQXC8SLBrV4I+74fqZ194hlccAEX/sHvM/rtL8ebmOjt3fXKWABIU8KLLMk1ZiVExAN+H7gFuBr4XhG5erBRGWPM8lSV997/cR6YOUSuObnmHG1P8977P85s0hx0eGaNbIlE1xiztfwfz3kStUjwfO19VQPHi5+0jaFQcIAnRZ4p+OyInor0beqV8RuQ/T+NXP2LyGU/gtQuXrPY/O0TTPzoj7D3t38LiaoLLpMgILrmasKLL1qz+zPmHPd04H5VfUBVY+D9wK0DjskYY5b1ePMYU3GD/KSJpZnm3HHs/gFFZdaaJbrGmDV31c5R3vqyb+KK7UOIwFDF5/ueeik//5ynsbf+bYTeMACeVNlVfTrjlWs2PEZ/YoK9v/UWomuvARGkUmH4hS9g9xt/acNjMWYL2ws82nf+sfLYAjYRwRizmUx15hY9nmnOic7MBkdj1stW2aNrjNlinrp3G3/6qptQ1QXV2pHKpYxULj3l+CBU9l3C3re+eVPEYswWtdj/OHrKAdW3A28HOHDgwCmXG2PMRtpVHUf11JciXzz21mxqy7nCKrrGmHW1VAK5mRLLzRSLMVvMY0D/Wv8LgYMDisUYY1ZkR3WMS4d344vXO+YQIi/gKROXDTAys5Ys0TXGGGPMan0e2C8il4pICLwa+NCAYzLGmNP6jn3fzLN3Xc1wUKXqhVyzbR8/fNUtVLxg0KGZNWJLl40xxhizKqqaisjrgY9SjBd6p6reM+CwjDHmtDzncdPu67hp93WDDsWsE0t0jTHGGLNqqvoR4CODjsMYY4zpZ0uXjTHGGGOMMcacUyzRNcYYY4wxxhhzTrFE1xhjjDHGGGPMOUUWmyF1rhCRo8DDa3yz24Fja3ybG2Grxg1bN3aLe2Nt1bhh68Z+vsV9iaragMWztMZ/m8+338FBs7g3zlaMGSzujWZxL/O3+ZxOdNeDiNyuqgcGHceZ2qpxw9aN3eLeWFs1bti6sVvcZtC26s/S4t5YWzHurRgzWNwbzeJeni1dNsYYY4wxxhhzTrFE1xhjjDHGGGPMOcUS3TP39kEHsEpbNW7YurFb3Btrq8YNWzd2i9sM2lb9WVrcG2srxr0VYwaLe6NZ3MuwPbrGGGOMMcYYY84pVtE1xhhjjDHGGHNOsUTXGGOMMcYYY8w5xRLdFRKRF4vI10TkfhF5w6DjOR0ReUhE7hKRO0Xk9vLYNhH5ZxG5rzwd3wRxvlNEjojI3X3HFo1TCv9/+TP4sojcuMni/hURebx8zu8UkZf0XfaLZdxfE5EXDSZqEJGLRORfReReEblHRH6mPL4VnvOlYt/Uz7uIRCLyORH5Uhn3r5bHLxWRz5bP+Z+LSFger5Tn7y8v37fJ4n6XiDzY93zfUB7fNL8rZTyeiNwhIh8uz2/q59uszFb529YlIlf1/b9yp4jMiMjPLve6NcBYz6W/x28Vka+Wsf2tiIyVx/eJSKvveX/bJot7U/89K+NYLO4/74v5IRG5szy+KZ5v2aLvfZaJe1P/fi8T98b/fquqfZ3mC/CAbwCXASHwJeDqQcd1mpgfArafdOwtwBvK798A/MYmiPM5wI3A3aeLE3gJ8A+AAM8EPrvJ4v4V4D8vct2ry9+ZCnBp+bvkDSjuPcCN5ffDwNfL+LbCc75U7Jv6eS+fu6Hy+wD4bPlc/gXw6vL424CfKL//SeBt5fevBv58QM/3UnG/C/juRa6/aX5Xynh+Dngv8OHy/KZ+vu1rxT/XLfG3bYnYPeAJ4JKlXrcGHN+59Pf4hYBffv8bfXHv67/eJny+N/Xfs6XiPuny3wLeuJmeb7boe59l4t7Uv9/LxL3hv99W0V2ZpwP3q+oDqhoD7wduHXBMq3Er8O7y+3cDrxhgLACo6ieBEycdXirOW4H3aOE2YExE9mxMpAstEfdSbgXer6odVX0QuJ/id2rDqeohVf1i+f0scC+wl63xnC8V+1I2xfNePndz5dmg/FLgecBflcdPfs67P4u/Am4WEdmgcHuWiXspm+Z3RUQuBF4KvKM8L2zy59uclU33t20JNwPfUNWHBx3IYs6lv8eq+k+qmpZnbwMu3PDATmMLv49YMu7ytfOVwPs2NKjT2KrvfZaKe7P/fm+m92uW6K7MXuDRvvOPsfwPbDNQ4J9E5Asi8rry2C5VPQTFLyGwc2DRLW+pOLfCz+H15VKSd8r88rlNGbcUSzSfSlGp21LP+UmxwyZ/3qVYRnsncAT4X+3df8hddR3A8fennDPNJoqJsKVbTdPNMUMrWBMNqa3WwrJyjpok1Kg/DATFVhREoxnVoCIio6KGRpQ1JKrRbPSHYPljv5zmigJxPWuDaaRMc5/++J675+7p3ud5/tie8+O+X3C5955z2P3c7z3P+Xw/53y/Z9soZyuP9CWq/tiOx12tfw44b2YjLibGnZm99v5y1d7fiIjZ1bLGtDewGbgDOFa9P48WtLempc257SZOLAAGHbeaplW5YYiPU67O9cyPMq1hR0QsryuoSTQ6n01hOTCWmU/3LWtUe7e17zOg39PT6P277v6ahe70DDq73/T/l2lZZr4FWAl8OiKuqTugk6Dpv8N3gDcCS4EDlOE70MC4I+K1wM+Bz2Tm85NtOmBZ02JvfLtn5iuZuZRy1vWtwGWDNqueGxt3RCwG7gLeDFwNnAvcWW3eiLgjYhVwMDMf6V88YNPGtbempZW5Lcqc8NXAz6pFw45bbdGKv5uI2AD8F9hSLToAvCEzr6Sa3hARr6srvgEan8+msIYTT+Y0qr3b2vcZFnfT9+8m9NcsdKfnGWBe3/u5wLM1xTItmfls9XwQuJ/SuR7rDb2ong/WF+GkhsXZ6N8hM8eqwuAY8D3Gh100Ku6ImEU58GzJzF9Ui1vR5oNib0u7A2TmEeAPlDk/50TEadWq/tiOx12tn8P0h7edEn1xr6iGJGVmHgV+QPPaexmwOiL+Tplm8k7KFd7WtLeGa3FuWwk8mpljMOlxq2lakRsGiYh1wCpgbWaZCFgNjTxcvX6EMrrmkvqiPFGb8tlE1fHzA8BPe8ua1N5t7fsMibvx+3dT+msWutPzJ2BhlLt2nk4ZfrS15piGioizIuLs3mvKpPU9lJjXVZutA35VT4RTGhbnVuBjUbwdeK435KQJJszfuIHS5lDivinK3V3nAwuBh2c6Pjg+f+b7wL7M/Hrfqsa3+bDYm97uEXF+jN8R8TXA9ZT5Kg8CN1abTWzz3m9xI7C9l8Rm0pC4n+zrFARlPlN/e9e+r2TmXZk5NzMvphyrt2fmWhre3ppay3PbCVe6JjluNU3jc8MgEbGCMtpkdWa+0Lf8/Ih4dfV6ASUv/K2eKP9f0/PZFK4HnszMZ3oLmtLebe37TNLvafT+3aj+WtZ8Z662PCh3YPsL5ezIhrrjmSLWBZS7l+0E9vbipcw7+z3wdPV8bgNivZcyfOFlyhmdW4fFSRna8O3qN9gNXNWwuH9cxbWr+qO9sG/7DVXcTwEra4z7HZThILuAx6vHe1rS5sNib3S7A0uAx6r49jB+N8oFlAP5fspwxtnV8jOq9/ur9QsaFvf2qr33AD9h/M7MjdlX+r7DtYzfdbnR7e1jWr9na3LbhLjPBA4Dc/qWDT1u1Rhnl/Lxfsqcv16u6N1Z/YPVvrMTeBR4X8PibnQ+GxZ3tfyHwPoJ2zaivWlp32eSuBu9f08S94zv31H945IkSZIkdYJDlyVJkiRJnWKhK0mSJEnqFAtdSZIkSVKnWOhKkiRJkjrFQleSJEmS1CkWupIkSZKkTrHQlTokIr4WEU9ExDfrjkWSpFEUEZ+MiIyIy/qW7YuIi+uLSho9p9UdgKSTIyIWAMsy8/K6Y5EkaYQtAR4H3gvsi4jZwAXAP2qNShoxXtGVOiAiLgV2ABdFxGMRcVbdMUmSNKKuAL5CKXQBFgH7MjPrC0kaPRa6Ugdk5lPAj4DPZ+aVmfmfumOSJGlEXQ5sBV4fEXMohe/uekOSRo+FrtQdVwA7p9ooIm6JiFUzEI8kSSMlIuYBhzPzRWAb8G7KUOZdJ/lzzOXSFJyjK3XHImBvRNwMXAv8G/gssAY4lJkPRMR9wG+ANRFxHXAwMzdFxC3AdcCLwAFgFrAY+ALwEcrconsy86GIuAGYB+wF3paZG2fwO0qS1GRLGL96+2tgLXAh8MsB+flN1foLgHuASxmciz8M3FytewJ4BTgEEBEXAbcDAfwVONj/GZl59BR+V6nRvKIrdUBEnA28nJkvAHMpZ443T5LgfpeZtwNXR0TvOPDbzFwPXJOZnwMeBk4HzgDGgI8CZOb9wCXAemDTqfpOkiS1UP8w5R3AcsaL34n5+SgTciyDc/Giat22zNwEXMV4H/5TlML4cPXZ0+kDSCPBQlfqhsXAHoDMvBv4I/DViFhISaS90Ru9m1Rl33Pv9fPV87+q55eAjcBm4LvAmQAREcA5wDEcFSJJUr/jhW5VaO4GXsrMIwPy821MyLEMzsWzq9e9nDuL8dz9KmBLZn4xM28d8BnSyLKTKnVAZj4EfAggIj4BLKQUoocpZ5Tvjoj5lAIVYEVELAX+nJlZateBHgTupJxt7rkNuBf4J/Al4I6T+20kSWqnzFw74f37e68H5OdBOXYy74qIJZSrvL1C91vAxog4QBmufGDCZ0gjK7zTuSRJktRc1b00DmXmA3XHIrWFha4kSZIkqVOcoytJkiRJ6hQLXUmSJElSp1joSpIkSZI6xUJXkiRJktQpFrqSJEmSpE6x0JUkSZIkdYqFriRJkiSpUyx0JUmSJEmdYqErSZIkSeqU/wEpQxWdu6JgcgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 1152x576 with 4 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# \\phi_f vs f_max for differing \\Delta f\n",
"N_delta_f = 200\n",
"\n",
"plot_submax = True\n",
"\n",
"\n",
"Ns_samples = required_N_samples//1 + np.arange(0, N_delta_f)\n",
"phi_f = np.empty(N_delta_f)\n",
"f_max = np.empty(N_delta_f)\n",
"\n",
"if plot_submax:\n",
" phi_f_sub = np.empty(N_delta_f)\n",
" f_submax = np.empty(N_delta_f)\n",
"\n",
"for i, N_sample in enumerate(Ns_samples):\n",
" time = np.arange(N_sample) / sample_rate\n",
" \n",
" fft, freqs = ft_spectrum(signal_func(2*np.pi*f*time), sample_rate)\n",
" \n",
" fft_power = np.abs(fft)**2\n",
" id_max = np.argmax(fft_power)\n",
" \n",
" phi_f[i] = np.angle(fft[id_max])\n",
" f_max[i] = freqs[id_max]\n",
" \n",
" if plot_submax:\n",
" fft_power[id_max] = 0\n",
" id_submax = np.argmax( fft_power )\n",
" \n",
" phi_f_sub[i] = np.angle(fft[id_submax])\n",
" f_submax[i] = freqs[id_submax]\n",
"\n",
"if plot_submax:\n",
" fig, ((ax1, ax2), (ax3, ax4)) = plt.subplots(2,2, figsize=(16,8), sharex=\"col\")\n",
" fig.suptitle(\"Maximum (and sub maximum) Power frequencies and their phase\")\n",
"else:\n",
" fig, (ax1, ax2) = plt.subplots(1,2, figsize=(16,4))\n",
" fig.suptitle(\"Maximum Power frequencies and their phase\")\n",
" \n",
" \n",
"# Maximum values\n",
"ax1.set_xlabel('$f_\\\\mathrm{max}$')\n",
"ax1.set_ylabel('$\\\\varphi_f$')\n",
"ax1.plot(f_max, phi_f, '--', alpha=0.1)\n",
"sc = ax1.scatter(f_max, phi_f, c=Ns_samples, cmap='Spectral')\n",
"ax1.axvline(f, color='r', alpha=0.5, label=\"Signal frequency\")\n",
"for hline in [0, -np.pi/2]:\n",
" ax1.axhline(hline, color='k', alpha=0.5)\n",
"\n",
"ax2.set_xlabel('$N_\\\\mathrm{samples}$')\n",
"ax2.set_ylabel('$f_\\\\mathrm{max}$')\n",
"ax2.scatter(Ns_samples, f_max, c=Ns_samples, cmap='Spectral')\n",
"ax2.axhline(f, color='r', alpha=0.5, label=\"Signal frequency\")\n",
"\n",
"# SubMaximum values\n",
"if plot_submax:\n",
" \n",
" # filter submax frequencies above twice the frequency\n",
" if True:\n",
" idx_submax = np.argwhere(np.abs(f_submax) < 2*f)\n",
" \n",
" f_submax = f_submax[idx_submax]\n",
" phi_f_sub = phi_f_sub[idx_submax]\n",
" \n",
" Ns_samples_submax = Ns_samples[idx_submax]\n",
" else:\n",
" Ns_samples_submax = Ns_samples\n",
" \n",
" \n",
" ax3.set_xlabel('$f_\\\\mathrm{submax}$')\n",
" ax3.set_ylabel('$\\\\varphi_{f\\_sub}$')\n",
" ax3.plot(f_submax, phi_f_sub, '--', alpha=0.1)\n",
" sc = ax3.scatter(f_submax, phi_f_sub, c=Ns_samples_submax, cmap='Spectral')\n",
" ax3.axvline(f, color='r', alpha=0.5, label=\"Signal frequency\")\n",
" for hline in [0, -np.pi/2]:\n",
" ax3.axhline(hline, color='k', alpha=0.5)\n",
"\n",
" ax4.set_xlabel('$N_\\\\mathrm{samples}$')\n",
" ax4.set_ylabel('$f_\\\\mathrm{submax}$')\n",
" ax4.scatter(Ns_samples_submax, f_submax, c=Ns_samples_submax, cmap='Spectral')\n",
" ax4.axhline(f, color='r', alpha=0.5, label=\"Signal frequency\")\n",
"\n",
"\n",
"\n",
"if False:\n",
" res = 50\n",
" ax1.set_xlim(f-res, f+res)\n",
" ax2.set_ylim(f-res, f+res)\n",
" if plot_submax:\n",
" ax4.set_ylim(f-res, f+res)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## $\\varphi_f$ vs $\\varphi_t$ and the effect of $f/f_\\mathrm{sample}$"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1152x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sample_rate = 1/1e-4 # Hz\n",
"\n",
"phase_offsets = np.linspace(-np.pi, np.pi, 500, endpoint=True)# rad\n",
"\n",
"frequencies = sample_rate * np.array([0.5, 0.49, 0.45, 0.3, 0.28, 0.25, 0.05, 0.001])\n",
"\n",
"signal_func = lambda phase: np.sin(phase)\n",
"\n",
"\n",
"# Precreate figure and axis\n",
"fig, (ax1) = plt.subplots(1,1, figsize=(16,4))\n",
"\n",
"for f in frequencies[::-1]:\n",
" \n",
" required_N_samples = sample_rate/f\n",
"\n",
" phi_f = np.empty_like(phase_offsets)\n",
"\n",
" time = np.arange(required_N_samples) / sample_rate\n",
"\n",
" for i, offset in enumerate(phase_offsets):\n",
"\n",
" fft, freqs = ft_spectrum(signal_func(2*np.pi*f*time + offset), sample_rate) \n",
" id_max = np.argmax(np.abs(fft)**2)\n",
"\n",
" phi_f[i] = np.angle(fft[id_max])\n",
" \n",
" \n",
" ax1.plot(phase_offsets, phi_f, '.--', label=\"$f/f_\\\\mathrm{{sample}} = {}$\".format(f/sample_rate))\n",
"\n",
" if True:\n",
" id_phi_f_min = np.argmin(phi_f)\n",
" ylocation = (np.max(phi_f) + np.min(phi_f)) /2\n",
" ax1.text(phase_offsets[id_phi_f_min], ylocation, \"${:.2g}\\\\pi$\".format(phase_offsets[id_phi_f_min]/np.pi), horizontalalignment='center')\n",
"\n",
" \n",
"ax1.set_title(\"Frequencydomain phase of max-power frequency $\\\\varphi_f$ \\n vs Timedomain phase $\\\\varphi_t$ with varying $f / f_\\\\mathrm{{sample}}$\")\n",
"ax1.set_xlabel('$\\\\varphi_t$')\n",
"ax1.set_ylabel('$\\\\varphi_f$')\n",
"ax1.legend(loc='lower right')\n",
"\n",
"# grid lines\n",
"## vertical lines\n",
"vlines = [\n",
" (-np.pi, r'$-\\pi$'),\n",
" (-np.pi/np.sqrt(2), r'$\\frac{-\\pi}{\\sqrt{2}}$'),\n",
" (-np.pi/np.sqrt(3), r'$\\frac{-\\pi}{\\sqrt{3}}$'),\n",
" (-np.pi/2, r'$\\frac{-\\pi}{2}$'),\n",
" (np.pi, r'$\\pi$'),\n",
"]\n",
"\n",
"xtrans = ax1.get_xaxis_transform()\n",
"ax1.axhline(0, alpha=0.1, color='k')\n",
"for location, label in vlines:\n",
" ax1.axvline(location, alpha=0.1, color='k')\n",
" ax1.text(location, -0.06, label, transform=xtrans, horizontalalignment='center')\n",
"\n",
"## horizontal lines\n",
"hlines = [\n",
" (1, ''),\n",
" (-2, ''),\n",
" (-np.pi/2, r'$\\frac{-\\pi}{2}$'),\n",
" (np.pi/2, r'$\\frac{\\pi}{2}$'),\n",
"]\n",
"\n",
"ytrans = ax1.get_yaxis_transform()\n",
"ax1.axvline(0, alpha=0.1, color='k')\n",
"for location, label in hlines:\n",
" ax1.axhline(location, alpha=0.1, color='k')\n",
" ax1.text(-0.03, location, label, transform=ytrans, verticalalignment='center')\n",
" \n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For $f_\\mathrm{sample} \\geq 3f$ the relationship between $\\varphi_t$ and $\\varphi_f$ is (almost) linear.\n",
"\n",
"From $f_\\mathrm{sample} \\geq 4f$ onwards, this relationship is stable with\n",
"\n",
"$$\n",
"\\varphi_f = \\varphi_t - \\frac{\\pi}{2} \\delta_\\mathrm{sin}\n",
",\n",
"$$\n",
"where $\\delta_\\mathrm{sin}$ is 1 if the signal was a sine, and 0 for a cosine."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# reconstruct phase from off-frequency ft\n",
"\n",
"Require atleast $f_\\mathrm{sample} \\geq 4 f$"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Required signal length is: 0.01s\n",
"Required number of samples: 100.0\n",
"Phase to be retrieved: -1.5707963267948966\n"
]
}
],
"source": [
"sample_rate = 1/1e-4 # Hz\n",
"f = 100 # Hz\n",
"required_N_samples = sample_rate/f\n",
"\n",
"phase_to_retrieve = phase_modulo(-np.pi/2)\n",
"signal_func = lambda phase: np.cos(phase + phase_to_retrieve)\n",
"\n",
"print(\"Required signal length is: {}s\".format(1/f))\n",
"print(\"Required number of samples: {}\".format(required_N_samples))\n",
"print(\"Phase to be retrieved: {}\".format(phase_to_retrieve))"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1152x288 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"N_deltas = 0*required_N_samples + np.arange(1, 50*required_N_samples+1, 1) # set !={0, required_N_sample} for imperfect FT\n",
"\n",
"\n",
"# flags\n",
"unfold_phases = True\n",
"N_sub_max = 2 # how many peaks to get\n",
"enable_single_max = True\n",
"diffs_on_single_max = True\n",
"keep_single_max_phase = True\n",
"\n",
"\n",
"\n",
"retrieved_phases = np.empty_like(N_deltas)\n",
"submax_amplitudes = np.empty((len(N_deltas), N_sub_max))\n",
"\n",
"fig, axes = plt.subplots(1,2, figsize=(16,4))\n",
"\n",
"for i, N_delta in enumerate(N_deltas):\n",
" # require N_sub => 2\n",
" N_sub_max = max(2, N_sub_max)\n",
" idx_max = np.empty(N_sub_max, dtype=np.int)\n",
" fft_power_max = np.zeros(N_sub_max)\n",
"\n",
" time = np.arange(required_N_samples+N_delta) / sample_rate\n",
" \n",
" f_delta = sample_rate/(required_N_samples+N_delta)\n",
"\n",
" fft, ft_freqs = ft_spectrum(signal_func(2*np.pi*f*time), sample_rate)\n",
" fft_power = np.abs(fft)**2\n",
" \n",
"\n",
" idx_single_max = None\n",
" for sub in range(len(idx_max)):\n",
" idx = np.argmax(fft_power)\n",
" idx_max[sub] = idx\n",
" fft_power_max[sub] = fft_power[idx]\n",
" fft_power[idx] = 0 # mask current fft power\n",
" \n",
" if f_delta < np.abs(ft_freqs[idx] - f):\n",
" idx_single_max = idx\n",
" continue\n",
"\n",
" submax_amplitudes[i] = fft_power_max\n",
"\n",
" # No use to interpolate when the max-amplitude frequency\n",
" # is within the frequency resolution of f\n",
" if enable_single_max and idx_single_max is not None:\n",
" freqs = ft_freqs[idx_single_max]\n",
" angles = np.angle(fft[idx_single_max])\n",
" \n",
" if keep_single_max_phase:\n",
" retrieved_phases[i] = angles\n",
" \n",
" l = axes[0].plot(freqs, angles, '1', label=r'$\\Delta N = {}$'.format(N_delta))\n",
" \n",
" axes[1].plot(N_delta/required_N_samples, angles, '1', color=l[0].get_color())\n",
"\n",
" if not diffs_on_single_max:\n",
" continue\n",
" \n",
" freqs = ft_freqs[idx_max]\n",
" angles = np.angle(fft[idx_max])\n",
"\n",
" # fold angles down for higher submax frequencies\n",
" if unfold_phases:\n",
" folds = 0\n",
" for j in range(len(freqs) - 1):\n",
" if freqs[j] < freqs[j+1] and angles[j] < angles[j+1]:\n",
" folds += 1\n",
" angles[j+1] += - 2*np.pi*folds\n",
"\n",
" if False:\n",
" print(freqs[j], freqs[j+1], \"\\t|\", folds, \"\\t|\", angles[j], angles[j+1])\n",
"\n",
"\n",
"\n",
" # plot frequencies and angles\n",
" axes[0].plot(freqs, angles, '--', alpha=0.5, label=r'$\\Delta N = {}$'.format(N_delta))\n",
" sc = axes[0].scatter(freqs, angles, c=np.arange(len(freqs),0, -1), cmap='Spectral')\n",
" \n",
" # find interpolation between peaks to get the original phase\n",
" dphi_df = (angles[0]-angles[1])/(freqs[0]-freqs[1])\n",
" offset = angles[1] - dphi_df * freqs[1]\n",
" \n",
" angle_at_f = dphi_df * f + offset\n",
"\n",
" # modulo phase\n",
" if not unfold_phases:\n",
" angle_at_f = phase_modulo(angle_at_f)\n",
" \n",
" retrieved_phases[i] = angle_at_f\n",
" axes[0].plot(f, angle_at_f, 'g^')\n",
" \n",
" # Try to fix the midpoints of each line\n",
" if False:\n",
" freq_midpoint = (freqs[0]-freqs[1])/2 + freqs[1]\n",
" angle_midpoint = (angles[0]-angles[1])/2 + angles[1]\n",
" interp_angle_midpoint = dphi_df*freq_midpoint + offset\n",
" \n",
" # modulo phase\n",
" if not unfold_phases:\n",
" angle_midpoint = phase_modulo(angle_midpoint)\n",
" interp_angle_midpoint = phase_modulo(interp_angle_midpoint)\n",
" \n",
" l = axes[0].plot(freq_midpoint, angle_midpoint, '+')\n",
" axes[0].plot(freq_midpoint, interp_angle_midpoint, 'x', color=l[0].get_color())\n",
" \n",
" \n",
"# plot retrieved phases\n",
"axes[1].plot(N_deltas/required_N_samples, phase_modulo(retrieved_phases), '.--')\n",
"\n",
"cbar = fig.colorbar(sc, ax=axes[0])\n",
"cbar.ax.set_ylabel(\"Power ordering\")\n",
"cbar.set_ticks([sc.colorbar.vmin, sc.colorbar.vmax])\n",
"\n",
"\n",
"## horizontal lines\n",
"hlines = [\n",
" (0, None),\n",
" (-np.pi/2, r'$\\frac{-\\pi}{2}$'),\n",
"]\n",
"\n",
"ytrans = axes[0].get_yaxis_transform()\n",
"for location, label in hlines:\n",
" axes[0].axhline(location, alpha=0.1, color='k')\n",
" axes[0].text(-0.06, location, label, transform=ytrans, verticalalignment='center')\n",
" \n",
"axes[0].plot(f, phase_to_retrieve, 'r*')\n",
"axes[0].set_xlabel(\"$f$\")\n",
"axes[0].set_ylabel(r\"$\\varphi_f$\")\n",
"axes[0].axvline(f, alpha=0.1)\n",
"\n",
"\n",
"\n",
"axes[1].set_xlabel(r\"$\\Delta N / N_\\mathrm{required}$\")\n",
"axes[1].set_ylabel(r\"$\\varphi_f$\")\n",
"axes[1].axhline(phase_to_retrieve, alpha=0.1, color='r')\n",
"\n",
"# zooming\n",
"if True:\n",
" x_res = 100\n",
" y_min = -2\n",
" y_max = 0.5\n",
" \n",
" if False:\n",
" x_res = 0.3\n",
" y_min = phase_to_retrieve - 0.1\n",
" y_max = phase_to_retrieve + 0.1\n",
"\n",
" axes[0].set_xlim(f-x_res, f+x_res)\n",
" axes[0].set_ylim(y_min, y_max)\n",
" \n",
"\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 1152x288 with 2 Axes>"
]
},
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"needs_background": "light"
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],
"source": [
"# Relative Amplitudes of the maximum and submaximum amplitudes plot\n",
"fig2, axs2 = plt.subplots(1,1,figsize=(16,4))\n",
"\n",
"relative_amplitudes = np.empty_like(submax_amplitudes)\n",
"for i, amps in enumerate(submax_amplitudes):\n",
" relative_amplitudes[i] = amps[1:] / amps[0]\n",
" \n",
"\n",
"axs2.plot(1+N_deltas/required_N_samples, relative_amplitudes[:,1], 'g')\n",
"\n",
"axs2_submax = axs2.twinx()\n",
"axs2_submax.plot(1+N_deltas/required_N_samples, submax_amplitudes[:,0], alpha=0.3)\n",
"axs2_submax.plot(1+N_deltas/required_N_samples, submax_amplitudes[:,1], alpha=0.3)\n",
"axs2_submax.set_yticks([],[])\n",
"\n",
"axs2.set_title(\"Relative amplitudes\")\n",
"axs2.set_xlabel(r\"$N_\\mathrm{samples} / N_\\mathrm{required}$\")\n",
"axs2.set_ylabel(r\"$A_1/A_2 \\; (\\delta_1)$\")\n",
"\n",
"\n",
"\n",
"plt.show()"
]
}
],
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