{ "cells": [ { "cell_type": "markdown", "id": "adf038e7", "metadata": {}, "source": [ "# Python for Signal Processing\n", "Danilo Greco, PhD - danilo.greco@uniparthenope.it - University of Naples Parthenope" ] }, { "cell_type": "markdown", "id": "81ee7bfe", "metadata": {}, "source": [ "### Example 1 - Audio Processing -\n", "This is a Python code that does some audio processing. It first generates an audio signal and adds some noise to it using the normal distribution. Then, it designs a finite impulse response (FIR) filter https://en.wikipedia.org/wiki/Finite_impulse_response using the SciPy signal processing library. After that, it applies the filter to the noisy signal using the lfilter function from the same library. Finally, it plots both the noisy signal and filtered signal using Matplotlib for visualization. This is a simple example of signal processing that showcases the power of Python and its scientific libraries. The given Python code generates an audio signal using the NumPy library. It first creates a time array t using the linspace function, which generates 500 evenly spaced values between 0 and 1. It then sets the amplitude of the signal to 0.5. The resulting audio signal is a sine wave with a frequency of 1 Hz and an amplitude of 0.5. The code then imports the firwin and lfilter functions from the SciPy library, which are used to create and apply a finite impulse response (FIR) filter to the audio signal. The code imports the pyplot module from the Matplotlib library, which is used to plot the original and filtered audio signals\n", "\n", ">1. *import numpy as np*: This line imports the NumPy library and gives it the alias np, which is a commonly used abbreviation for NumPy.\n", "2. *from scipy.signal import firwin, lfilter*: This line imports two functions, firwin and lfilter, from the scipy.signal module. These functions will be used for filtering the audio signal.\n", "3. *import matplotlib.pyplot as plt*: This line imports the pyplot submodule from the matplotlib library and gives it the alias plt, which will be used for plotting the audio signal before and after filtering.\n", "4. *t = np.linspace(0, 1, 500, False)*: This line generates an array of 500 equally spaced points between 0 and 1 using the np.linspace() function and assigns it to the variable t.\n", "5. *x = 0.5 * np.sin(2 * np.pi * 50 * t) + np.sin(2 * np.pi * 120 * t)*: This line generates a audio signal consisting of two sine waves of frequencies 50 Hz and 120 Hz and assigns it to the variable x.\n", "6. *noise = np.random.normal(0, 1, 500)*: This line generates an array of 500 normally distributed random numbers with a mean of 0 and standard deviation of 1 using the np.random.normal() function and assigns it to the variable noise.\n", "7. *xn = x + noise*: This line adds the noise signal to the original audio signal x and assigns the resulting signal to the variable xn.\n", "8. *b = firwin(51, 0.3)*: This line designs a low-pass filter with a cutoff frequency of 0.3 using the firwin() function and assigns the filter coefficients to the variable b.\n", "9. *yn = lfilter(b, 1, xn)*: This line filters the noisy audio signal xn using the filter coefficients b and assigns the filtered signal to the variable yn.\n", "10. *plt.plot(t, xn, 'b', label='Noisy Signal')*: This line plots the noisy audio signal xn in blue color with a label of \"Noisy Signal\" using the plot() function from pyplot.\n", "11. *plt.plot(t, yn, 'r', label='Filtered Signal')*: This line plots the filtered audio signal yn in red color with a label of \"Filtered Signal\" using the plot() function from pyplot.\n", "12. *plt.legend()*: This line adds a legend to the plot using the legend() function from pyplot.\n", "13. *plt.show()*: This line displays the plot on the screen using the show() function from pyplot.\n", " " ] }, { "cell_type": "code", "execution_count": 2, "id": "88001a3b", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "from scipy.signal import firwin, lfilter\n", "import matplotlib.pyplot as plt\n", "\n", "# Generating the audio signal\n", "t = np.linspace(0, 1, 500, False)\n", "x = 0.5 * np.sin(2 * np.pi * 50 * t) + np.sin(2 * np.pi * 120 * t)\n", "\n", "# Adding noise to the audio signal\n", "noise = np.random.normal(0, 1, 500)\n", "xn = x + noise\n", "\n", "# Designing the filter\n", "b = firwin(51, 0.3)\n", "\n", "# Filtering the audio signal\n", "yn = lfilter(b, 1, xn)\n", "\n", "# Plotting the audio signal before and after filtering\n", "plt.plot(t, xn, 'b', label='Noisy Signal')\n", "plt.plot(t, yn, 'r', label='Filtered Signal')\n", "plt.legend()\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "7bb70ed0", "metadata": {}, "source": [ "### Example 2 - FFT and IFFT -\n", "This Python code generates a sine wave and applies the Fast Fourier Transform (FFT) to it. The code first imports the NumPy and Matplotlib libraries, which are used to generate and plot the sine wave. It then imports the fft and ifft functions from the SciPy library, which are used to apply the FFT to the sine wave. The linspace function from NumPy is used to generate a time array t with 500 evenly spaced values between 0 and 1. The sin function from NumPy is used to generate a sine wave with a frequency of 5 Hz and an amplitude of 1. The code then applies the FFT to the sine wave using the fft function from SciPy. Finally, the code plots the original sine wave and the FFT using the plot function from Matplotlib, This Python code imports the necessary modules, including NumPy, Matplotlib, and the Fast Fourier Transform (FFT) functionality from SciPy. The code then generates a sine wave signal by creating an array of 500 evenly spaced points between 0 and 1 using NumPy's linspace function. The sine wave signal is generated by multiplying the sine function with a frequency of 50 Hz by the time array and taking the sine of the result.\n", "The code then calculates the Fourier Transform of the sine wave signal using the fft function from SciPy's fft module. The result is stored in the xf array, which contains the magnitudes of the frequency components of the signal. The absolute value of the Fourier Transform is taken to eliminate any negative values.\n", "Finally, the code plots the time domain and frequency domain representations of the sine wave signal using Matplotlib. The blue line represents the sine wave signal in the time domain, and the red line represents the magnitudes of the frequency components in the frequency domain. The legend function is used to label the two lines on the plot, and the show function displays the plot. Let's see each line:\n", "\n", "1. *import numpy as np*: This imports the NumPy package and renames it as \"np\" for convenience.\n", "2. *import matplotlib.pyplot as plt*: This imports the Matplotlib package and renames its pyplot module as \"plt\" for convenience.\n", "3. *from scipy.fft import fft, ifft*: This imports the Fast Fourier Transform (FFT) and its inverse (IFFT) from the scipy package.\n", "4. *t = np.linspace(0, 1, 500, False)*: This generates a NumPy array of 500 equally spaced values between 0 and 1 (inclusive) and assigns it to the variable t. The False argument specifies that the endpoint should not be included.\n", "5. *x = np.sin(2 * np.pi * 50 * t)*: This generates a sine wave signal with frequency 50 Hz and assigns it to the variable x.\n", "6. *xf = np.abs(fft(x))*: This computes the FFT of the x signal using the fft function from the scipy package and then takes the absolute values of the resulting complex numbers. The resulting array is assigned to the variable xf.\n", "7. *plt.plot(t, x, 'b', label='Time Domain')*: This plots the x signal in blue color and assigns it a label \"Time Domain\".\n", "8. *plt.plot(t, xf, 'r', label='Frequency Domain')*: This plots the xf signal in red color and assigns it a label \"Frequency Domain\".\n", "9. *plt.legend()*: This adds a legend to the plot.\n", "10. *plt.show()*: This displays the plot.\n", "\n", "Overall, this code generates a sine wave signal, computes its FFT, and plots both the time domain signal and its frequency domain representation." ] }, { "cell_type": "code", "execution_count": 3, "id": "2ae21893", "metadata": {}, "outputs": [ { "data": { "image/png": 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+0tLSlJqaetbt+dxzz2nOnDlatWqV9uzZo3HjxlXpPQK2YRwoMzPTSDKZmZm1PZTal5dnjPVRZcyaNbU9Gp+Wl5dntmzZYvLy8kpW5uSUbP+aXnJyKj32oUOHGn9/fxMWFuZebrvtNmOMMZ07dzaXX365R/1jjz1mevTo4bFu7969RpL58ccfTXZ2tgkKCjLz5s1z33/48GETEhJiRo8e7V4nySxcuNDjeaKiosysWbOMMcbMnDnTtGjRwhQVFbnvz8/PNyEhIWbx4sXusTdp0sScOnXKXXP77bebwYMHG2OM+fHHH40ks3Tp0grf+4EDB4y/v7/58ssvjTHGFBQUmAYNGpjZs2efdntNnDjRtGvXrsL7HnroIRMSEmKMMWbbtm1Gklm7dq37/kOHDpmQkBDzzjvvGGOMmTVrlpFkduzY4a4ZPny4CQ0NNdnZ2e51PXv2NMOHDz/tmL766isjyf2Y5cuXG0nm6NGjp32dV155xcTGxlb4fBXuz6gepeftBa4qn98BtRWMcJ5wiQeV1LVrV82YMcN9OywszP3/HTp08KjdsGGDli9frvDw8HLPs3PnTuXl5amgoECdOnVyr4+OjlaLFi2qNKYNGzZox44dioiI8Fh/4sQJj8svl156qfz9/d234+Pj9d1330mSNm3aJH9/f3Xu3LnC14iPj9fNN9+s1157TVdddZU+/PBDnThxQrfffnuVxlrMGOP+3sfWrVsVEBCgjh07uu+PiYlRixYttHXrVve60NBQj25NbGysmjZt6rF9Y2NjPS7hbNy4UZMmTdKmTZt05MgRFRUVSZL27Nmj1q1bVzi2sq8THx/v8ZyAkxBQgHMRGirl5NTea1dBWFiYmjVrdtr7SisqKlLfvn09vmtRLD4+3uM7FmficrlkyoTo0pc+ioqK1L59e82dO7fcYxs0aOD+/8DAwHLPW/yBHRISctZx/OEPf9Cdd96pqVOnatasWRo8eLBCq7j9im3dutX95eKy761Y6RBzuvGf6T3l5uaqR48e6tGjh9588001aNBAe/bsUc+ePc/4JeaKnvN0YwTsjoDidBx8apfLJZX5cPcFV1xxhf7973+radOmCggof5ho1qyZAgMD9cUXX6hx48aSrC+Lbtu2zaOT0aBBA48vaW7fvl3Hjx/3eJ358+erYcOGioyM9Gqsbdu2VVFRkVauXKnu3btXWNO7d2+FhYVpxowZ+vjjj7Vq1SqvXuuHH37QJ598ogkTJkiSWrdurVOnTunLL79USkqKJOnw4cPatm2bWrVq5dVrFL/OoUOH9NRTTykpKUmStH79eq+fD3AiviTrdAQUVIP7779fR44c0e9+9zt99dVX2rVrl5YsWaJ77rlHhYWFCg8P17BhwzR+/Hh9+umn2rx5s1JTU+Xn53lIueGGGzR9+nT973//0/r16zVixAiPs/w77rhD9evXV//+/bV69WqlpaVp5cqVGj16tPbt21epsTZt2lRDhw7VPffc4/4y6YoVK/TOO++4a/z9/ZWamqoJEyaoWbNmHpemTufUqVPKyMjQgQMH9N1332natGnuLw6PHz9ektS8eXP1799f9957r9asWaNvvvlGv//979WoUSP179+/UuOvSOPGjRUUFKRp06Zp165d+uCDD/Tkk096/XyAExFQAJSTkJCgtWvXqrCwUD179lSbNm00evRoRUVFuUPIs88+q+uvv179+vVT9+7dde2116p9+/Yez/P8888rKSlJ119/vYYMGaJx48Z5XFoJDQ3VqlWr1LhxYw0cOFCtWrXSPffco7y8vCp1VGbMmKHbbrtN9913n1q2bKl7771Xubm5HjXDhg1TQUGB7rnnnko95/fff6/4+Hg1btxYXbp00TvvvKMJEyZo9erVHt8dmTVrltq3b68+ffqoU6dOMsZo0aJF5S63VEWDBg00e/Zsvfvuu2rdurWeeuqpcj8qDfg6l3HgBcqsrCxFRUUpMzPT67awz8jJkYq/YLhmjXTNNbU7Hh924sQJpaWlKTk5WXXq1Knt4dhSly5ddPnll+vFF1+s7aGUs3btWnXp0kX79u1TbGxsbQ+n1rE/16DSv0zPeR+551VVPr/5DorTXeA7O3A2+fn52rt3rx577DENGjSIcAI4BJd4nI6AApzR22+/rRYtWigzM1PPPPNMbQ8HQCXRQQFw3qxYsaK2h1BOamrqWX8DKwD7oYPidHRQAAA+iIDidAQUAIAPIqAAVeTAH3wDymE/ht0RUJyOg0yNKf69FqV/EyrgVMW/Mr/03zgC7IQvyTodAaXG+Pv7q27duu4/vhYaGurx91YApygqKtIvv/yi0NDQCv+UAWAH7JlAFcTFxUkSfyEWjufn56fGjRsTsmFbBBSno4NSo1wul+Lj49WwYUOPv8oLOE1QUFC5v50E2AkBxekIKLXC39+fa/cAUI2IzwAAwHYIKE5HBwUA4IMIKE5HQAEA+CACCgAAsB0CitOV7qDQTQEA+AgCitMRUAAAPoiA4nQEFACADyKgAAAA2yGgOB0dFACADyKgOB0BBQDggwgoAADAdggoTkcHBQDggwgoTkdAAQD4IAIKAACwHQKK09FBAQD4IAKK0xFQAAA+iIACAABsh4DidHRQAAA+iIDidAQUAIAPIqA4HQEFAOCDCCgAAMB2CChORwcFAOCDCChOR0ABAPigKgWUKVOm6Morr1RERIQaNmyoAQMG6Mcff/SoMcZo0qRJSkhIUEhIiLp06aLvv//eoyY/P1+jRo1S/fr1FRYWpn79+mnfvn3n/m4AAIBPqFJAWblype6//3598cUXWrp0qU6dOqUePXooNzfXXfPMM8/ohRde0PTp0/X1118rLi5ON954o7Kzs901Y8aM0cKFCzVv3jytWbNGOTk56tOnjwoLC8/fO7tQ0EEBAPgglzHef6r98ssvatiwoVauXKnrr79exhglJCRozJgxeuihhyRZ3ZLY2Fg9/fTTGj58uDIzM9WgQQPNmTNHgwcPliQdOHBASUlJWrRokXr27HnW183KylJUVJQyMzMVGRnp7fB9w7ZtUosW1v9/+KF08821Ox4AgCeXq+T/L/ATyap8fp/Td1AyMzMlSdHR0ZKktLQ0ZWRkqEePHu6a4OBgde7cWevWrZMkbdiwQSdPnvSoSUhIUJs2bdw1ZeXn5ysrK8tjAQAAvsvrgGKM0dixY3XttdeqTZs2kqSMjAxJUmxsrEdtbGys+76MjAwFBQWpXr16p60pa8qUKYqKinIvSUlJ3g7b93CJBwDgg7wOKCNHjtS3336rt99+u9x9rtLtLFlhpuy6ss5UM2HCBGVmZrqXvXv3ejts30NAAQD4IK8CyqhRo/TBBx9o+fLlSkxMdK+Pi4uTpHKdkIMHD7q7KnFxcSooKNDRo0dPW1NWcHCwIiMjPRYAAOC7qhRQjDEaOXKkFixYoM8++0zJycke9ycnJysuLk5Lly51rysoKNDKlSuVkpIiSWrfvr0CAwM9atLT07V582Z3DaqADgoAwAcFVKX4/vvv11tvvaX//Oc/ioiIcHdKoqKiFBISIpfLpTFjxmjy5Mlq3ry5mjdvrsmTJys0NFRDhgxx1w4bNkwPPPCAYmJiFB0drXHjxqlt27bq3r37+X+Hvo6AAgDwQVUKKDNmzJAkdenSxWP9rFmzlJqaKkl68MEHlZeXp/vuu09Hjx5Vx44dtWTJEkVERLjrp06dqoCAAA0aNEh5eXnq1q2bZs+eLX9//3N7NwAAwCec0+9BqS38HpRSvv9e+vWnqLRwoTRgQK0OBwBQBr8Hxa3Gfg8KbIBLPAAAH0RAcToCCgDABxFQAACA7RBQnI4OCgDABxFQnI6AAgDwQQQUAABgOwQUp6ODAgDwQQQUpyOgAAB8EAEFAADYDgHF6eigAAB8EAHF6QgoAAAfREABAAC2Q0BxOjooAAAfREBxOgIKAMAHEVCcjoACAPBBBBQAAGA7BBSno4MCAPBBBBSnI6AAAHwQAQUAANgOAcXp6KAAAHwQAcXpCCgAAB9EQAEAALZDQHE6OigAAB9EQHE6AgoAwAcRUAAAgO0QUJyODgoAwAcRUJyOgAIA8EEEFAAAYDsEFKejgwIA8EEEFKcjoAAAfBABxekIKAAAH0RAAQAAtkNAcTo6KAAAH0RAcToCCgDABxFQAACA7RBQnI4OCgDABxFQnI6AAgDwQQQUAABgOwQUp6ODAgDwQQQUpyOgAAB8EAEFAADYDgHF6eigAAB8EAHF6QgoAAAfREBxOgIKAMAHEVAAAIDtEFCcjg4KAMAHEVCcjoACAPBBBBQAAGA7BBSno4MCAPBBBBSnI6AAAHwQAQUAANgOAcXp6KAAAHwQAcXpCCgAAB9EQAEAALZDQHE6OigAAB9EQHE6AgoAwAdVOaCsWrVKffv2VUJCglwul95//32P+1NTU+VyuTyWq6++2qMmPz9fo0aNUv369RUWFqZ+/fpp37595/RGAACA76hyQMnNzVW7du00ffr009bcdNNNSk9Pdy+LFi3yuH/MmDFauHCh5s2bpzVr1ignJ0d9+vRRYWFh1d/BhY4OCgDABwVU9QG9evVSr169zlgTHBysuLi4Cu/LzMzUzJkzNWfOHHXv3l2S9OabbyopKUnLli1Tz549qzqkCxsBBQDgg6rlOygrVqxQw4YNdckll+jee+/VwYMH3fdt2LBBJ0+eVI8ePdzrEhIS1KZNG61bt67C58vPz1dWVpbHgl8RUAAAPui8B5RevXpp7ty5+uyzz/T888/r66+/1g033KD8/HxJUkZGhoKCglSvXj2Px8XGxiojI6PC55wyZYqioqLcS1JS0vkeNgAAsJEqX+I5m8GDB7v/v02bNurQoYOaNGmijz76SAMHDjzt44wxcrlcFd43YcIEjR071n07KyuLkFKMDgoAwAdV+48Zx8fHq0mTJtq+fbskKS4uTgUFBTp69KhH3cGDBxUbG1vhcwQHBysyMtJjwa8IKAAAH1TtAeXw4cPau3ev4uPjJUnt27dXYGCgli5d6q5JT0/X5s2blZKSUt3DAQAADlDlSzw5OTnasWOH+3ZaWpo2bdqk6OhoRUdHa9KkSbr11lsVHx+v3bt365FHHlH9+vV1yy23SJKioqI0bNgwPfDAA4qJiVF0dLTGjRuntm3bun+qB1VABwUA4IOqHFDWr1+vrl27um8Xfzdk6NChmjFjhr777ju98cYbOnbsmOLj49W1a1fNnz9fERER7sdMnTpVAQEBGjRokPLy8tStWzfNnj1b/v7+5+EtXWAIKAAAH1TlgNKlSxeZM3wQLl68+KzPUadOHU2bNk3Tpk2r6ssDAIALAH+Lx+nooAAAfBABxekIKAAAH0RAAQAAtkNAcTo6KAAAH0RAcToCCgDABxFQAACA7RBQnI4OCgDABxFQnI6AAgDwQQQUpyOgAAB8EAEFAADYDgHF6eigAAB8EAHF6QgoAAAfREABAAC2Q0BxOjooAAAfREBxOgIKAMAHEVAAAIDtEFCcjg4KAMAHEVCcjoACAPBBBBQAAGA7BBSno4MCAPBBBBSnI6AAAHwQAcXpCCgA4BwcpyuNgAIAAGyHgOJ0dFAAwDk4TlcaAcXpCCgA4BwcpyuNgAIAAGyHgOJ0dFAAwDk4TlcaAcXpCCgA4BwcpyuNgAIAAGyHgOJ0dFAAwDk4TlcaAcXpCCgA4BwcpyuNgAIAAGyHgOJ0dFAAwDk4TlcaAcXpCCgA4BwcpyuNgAIAAGyHgOJ0dFAAwDk4TlcaAcXpCCgA4BwcpyuNgOJ0BBQAcA6O05VGQAEAoLoQSLxGQHE6OigA4BwcpyuNgOJ0BBQAsK+yx2WO05VGQAEAoLoQSLxGQHE6OigAYF90ULxGQHE6AgoAOAfH6UojoAAAUF0IJF4joDgdHRQAsC8u8XiNgOJ0BBQAcA6O05VGQAEAoLoQSLxGQHE6OigAYF9c4vEaAcXpCCgA4BwcpyuNgOJ0BBQAsC86KF4joAAAUF0IJF4joDgdHRQAcA6O05VGQHE6AgoA2BeXeLxGQAEAoLoQSLxGQHE6OigAYF90ULxW5YCyatUq9e3bVwkJCXK5XHr//fc97jfGaNKkSUpISFBISIi6dOmi77//3qMmPz9fo0aNUv369RUWFqZ+/fpp37595/RGLlgEFABwDo7TlVblgJKbm6t27dpp+vTpFd7/zDPP6IUXXtD06dP19ddfKy4uTjfeeKOys7PdNWPGjNHChQs1b948rVmzRjk5OerTp48KCwu9fycAANgNgcRrAVV9QK9evdSrV68K7zPG6MUXX9Sjjz6qgQMHSpJef/11xcbG6q233tLw4cOVmZmpmTNnas6cOerevbsk6c0331RSUpKWLVumnj17nsPbuQDRQQEA++ISj9fO63dQ0tLSlJGRoR49erjXBQcHq3Pnzlq3bp0kacOGDTp58qRHTUJCgtq0aeOuKSs/P19ZWVkeC35FQAEA5+A4XWnnNaBkZGRIkmJjYz3Wx8bGuu/LyMhQUFCQ6tWrd9qasqZMmaKoqCj3kpSUdD6HDQBA9SCQeK1aforH5XJ53DbGlFtX1plqJkyYoMzMTPeyd+/e8zZWx6ODAgD2xSUer53XgBIXFydJ5TohBw8edHdV4uLiVFBQoKNHj562pqzg4GBFRkZ6LPgVAQUAnIPjdKWd14CSnJysuLg4LV261L2uoKBAK1euVEpKiiSpffv2CgwM9KhJT0/X5s2b3TUAAPgEAonXqvxTPDk5OdqxY4f7dlpamjZt2qTo6Gg1btxYY8aM0eTJk9W8eXM1b95ckydPVmhoqIYMGSJJioqK0rBhw/TAAw8oJiZG0dHRGjdunNq2bev+qR5UAR0UALAvLvF4rcoBZf369eratav79tixYyVJQ4cO1ezZs/Xggw8qLy9P9913n44ePaqOHTtqyZIlioiIcD9m6tSpCggI0KBBg5SXl6du3bpp9uzZ8vf3Pw9v6QJDQAEA5+A4XWkuY5y3tbKyshQVFaXMzEy+j/Lww9LTT1v/P3Cg9O9/1+54AAAlDh2SGjQouZ2WJjVtWmvDqW1V+fzmb/EAAFBdnNcDsA0CitNxiQcA7IvvoHiNgOJ0BBQAcA6O05VGQAEAoLoQSLxGQHE6OigAYF9c4vEaAcXpCCgA4BwcpyuNgAIAQHUhkHiNgOJ0dFAAwL64xOM1AorTEVAAwDk4TlcaAQUAgOpCIPEaAcXp6KAAgH1xicdrBBSnI6AAgHNwnK40AgoAANWFQOI1AorT0UEBAPviEo/XCChOR0ABAPsioHiNgOJ0BBQAcA6O05VGQAEAoLoQSLxGQHE6OigAYF9c4vEaAcXpCCgA4BwcpyuNgAIAQHUhkHiNgOJ0dFAAwL64xOM1AorTEVAAwDk4TlcaAQUAgOpCIPEaAcXp6KAAgH1xicdrBBSnI6AAgHNwnK40AgoAANWFQOI1AorT0UEBAPviEo/XCChOR0ABAPsioHiNgOJ0BBQAcA6O05VGQAEAoLoQSLxGQHE6OigAYF9c4vEaAcXpCCgA4BwcpyuNgAIAQHUhkHiNgOJ0dFAAwL64xOM1AorTEVAAwDk4TlcaAQUAgOpCIPEaAcXp6KAAgH1xicdrBBSnI6AAgHNwnK40AgoAANWFQOI1AorT0UEBAPviEo/XCChOR0ABAPsioHiNgAIAAGyHgOJ0dFAAwL7ooHiNgOJ0BBQAsC8CitcIKE5HQAEA5+A4XWkEFAAAqguBxGsEFKejgwIA9sUlHq8RUJyOgAIAzsFxutIIKAAAVBcCidcIKE5HBwUA7ItLPF4joDgdAQUAnIPjdKURUAAAqC4EEq8RUJyODgoA2BeXeLxGQHE6AgoA2BcBxWsEFAAAYDsEFKejgwIA9kUHxWvnPaBMmjRJLpfLY4mLi3Pfb4zRpEmTlJCQoJCQEHXp0kXff//9+R7GhYOAAgD2RUDxWrV0UC699FKlp6e7l++++8593zPPPKMXXnhB06dP19dff624uDjdeOONys7Oro6h+D4CCgA4B8fpSquWgBIQEKC4uDj30qBBA0lW9+TFF1/Uo48+qoEDB6pNmzZ6/fXXdfz4cb311lvVMRQAAGoPgcRr1RJQtm/froSEBCUnJ+u3v/2tdu3aJUlKS0tTRkaGevTo4a4NDg5W586dtW7dutM+X35+vrKysjwW/IoOCgDYF5d4vHbeA0rHjh31xhtvaPHixfrnP/+pjIwMpaSk6PDhw8rIyJAkxcbGejwmNjbWfV9FpkyZoqioKPeSlJR0voftXAQUAHAOjtOVdt4DSq9evXTrrbeqbdu26t69uz766CNJ0uuvv+6ucblcHo8xxpRbV9qECROUmZnpXvbu3Xu+hw0AwPlHIPFatf+YcVhYmNq2bavt27e7f5qnbLfk4MGD5boqpQUHBysyMtJjwa/ooACAfXGJx2vVHlDy8/O1detWxcfHKzk5WXFxcVq6dKn7/oKCAq1cuVIpKSnVPRTfREABAOfgOF1pAef7CceNG6e+ffuqcePGOnjwoP7yl78oKytLQ4cOlcvl0pgxYzR58mQ1b95czZs31+TJkxUaGqohQ4ac76EAAFC7CCReO+8BZd++ffrd736nQ4cOqUGDBrr66qv1xRdfqEmTJpKkBx98UHl5ebrvvvt09OhRdezYUUuWLFFERMT5HsqFgQ4KANgXl3i8dt4Dyrx58854v8vl0qRJkzRp0qTz/dIXJgIKANgXAcVr/C0eAABgOwQUp6ODAgD2RQfFawQUpyOgAIB9EVC8RkABAAC2Q0BxOjooAGBfdFC8RkBxOgIKANgXAcVrBBSnI6AAgHNwnK40AgoAANWFQOI1AorT0UEBAPviEo/XCChOR0ABAOfgOF1pBBQAAKoLgcRrBBSno4MCAPbFJR6vEVCcjoACAPZFQPEaAQUAANgOAcXp6KAAgH3RQfEaAcXpCCgAYF8EFK8RUAAAgO0QUJyODgoA2BcdFK8RUJyOgAIA9kVA8RoBxekIKADgHBynK42AAgBAdSGQeI2A4nR0UADAvrjE4zUCitMRUADAOThOVxoBBQCA6kIg8RoBxenooACAfXGJx2sEFKcjoACAfRFQvEZAAQAAtkNAcTo6KABgX3RQvEZAcToCCgDYFwHFawQUAABgOwQUp6ODAgD2RQfFawQUpyOgAIB9EVC8RkABAAC2Q0BxOjooAGBfdFC8RkBxOgIKANgXAcVrBBSnI6AAgHNwnK40AgoAANWFQOI1AorT0UEBAPviEo/XCChOR0ABAPsioHiNgAIAAGyHgOJ0dFAAwL7ooHiNgOJ0BBQAsC8CitcIKAAAwHYIKE5HBwUA7IsOitcIKE5HQAEA+yKgeI2AAgAAbIeA4nR0UADAvuigeI2A4nQEFACwLwKK1wgoAADAdggoTkcHBQDsiw6K1wgoTkdAAQD7IqB4jYDidAQUALAvAorXCCgAAMB2CChORxoHAPuig+I1AorTsfMDgH1xjPYaAQUAANhOrQaUV199VcnJyapTp47at2+v1atX1+ZwnIl0DgD2xTHaa7UWUObPn68xY8bo0Ucf1caNG3XdddepV69e2rNnT20NyUNmppSRceZ9KSvr7DXZ2VJ6+plrcnKkAwfOXJOba9UUFZW5o8yD9u8z5WtKycuT9u2TCgtPX3PixNlr8vOtmlOnTl9TUGDVnDx5+pqTJ62agoLT15w6ZdXk55+95sSJ09cUFlo1eXmnrykqkvbvl44fP3tNbu7pa4yx/r1ycs5ck55u7SNnq8nKOnNNRoa1z56p5uefpWPHTl8jSQcPSkePnrnml1+kI0fOXHPokHT48JlrDh+26s7kyBHr9c7k6FFr3Gdy7Jj1/s80xyo75882nysz54vn89lq9u+vYM6Xcvz42WvO13y225wvns9nmvPFc/V8zPkDB7yc82X+kbMyzVnnfEbG2ef8zz+fec5L1rw425z/5Zezz/laY2rJVVddZUaMGOGxrmXLlubhhx8+62MzMzONJJOZmXnex5WTY8y99xrj52eMZExKijFbtnjWHD9uzP33GxMQYNVceaUx33zjWXPihDH/93/GBAZaNb/5jTHr13vWFBQY89BDxgQHWzVt2xrz+eeeNSdPGvPYY8bUqWPVtGplzKpVpQqSk607fl38dMo0b27MsmWez1NUZMzTTxsTHm6VJicbs2hR+ZqpU42JirJqGjc25j//KV/z6qvG1Ktn1TRqZMy775bfjv/6lzH161s1cXHGvPlm+Zo5c4yJjbVqGjQw5rXXytfMn29MQoJVEx1tzN/+Zo2htIULjUlKsmrq1jXmpZfK13z0kTFNm1o1ERHGPPNM+ZqlS41p1syqCQsz5i9/Maaw0LNmxQpjWra0akJCjHn8cWNOnfKsWbvWmDZtrJrgYGMeftj6ty7tq6+MufxyqyYw0JixY43Jz/es2bTJ2rcka18bOdKYvDzPms2bjenUyarx9zdm+HBjcnM9a3780Zjrr7dqXC5j7r7bmKwsz5qdO43p1q2k5ve/N+boUc+aPXuMuemmkt1t0CBjDh3yrNm/35i+fUtqbrnFmIwMz5qffzZm4MCSmj59rMeVduiQMYMHl9T07GnMTz951hw9asydd1rjlYy54QbrfZSWlWXMPfeUzOfrrjPmhx88a3JzjRkxwtp+kjFXX21t19Ly8oz54x9L5nyHDsZs3OhZk59vzAMPGBMUZNW0a2f9O5d28qQxEyaUzPlLLzVmzRrPmlOnjJk40dq/JGNatDBm+XLPmsJCY/76V2s/lYy5+GJjlizxrCkqMua556z9XbL2/w8/LF/z8svWvJGMSUw0ZsGC8jV//7sxMTFWTUKCMfPmmXJmzbLmsWRMw4bGvPFG+Zq5c63jgWQ93z//Wb7mvfes44pkHWdeeaX8XP3gA2OaNLFqIiONeeGF8jUff2zMRRdZNeHhxjz1VPn5/OmnxlxyiVUTGmrMn/9cvmb1amNat7Zq6tQx5k9/sv4dS/viC2Muu8yqCQoy5sEHS8356dM9jtHj9bQJDDRmzBjrc6K0b7815qqrSubzffdZnzelbdlizDXXWDV+fsb84Q/GZGd71mzfbkyXLiXzeehQY8p+XKalGXPjjSVD+93vjDlyxFS7qnx+u4yp+X5TQUGBQkND9e677+qWW25xrx89erQ2bdqklStXetTn5+crv1SUzsrKUlJSkjIzMxUZGXnexnXwq93K6dy7XCL385OSkqSwUOlUobR3b/lE7ueSEpOk8DAr2e/dVz6Ru1xSYiMpIkIqLLLSf9lE7nJJjRKkyEgrte/bXz6RuyTFJ0h1oySzfbtcpU5ptqqljFySpPh4qV5dqchI6QekzAoSeVycFF3v1zP1jIrTdmxDKTrG+v+MjIrTdoMGUv361v///HPFZ9j161t1kvTLQelQBWfYMdFSw1jr/w8dqvjsuV49a9ySdRZe0dlz3bpSfJy1PY8ckTJ+Ll8TFWVtIz+XdPSYddZbVmSElNDIqjmWaW3HshMmIlxq1MjaTzKzpAP7y9eEhUmJiZK/n5SVbZ2xlZ15oaFSUqLk72/9m+/bZ/3blRYSYu2LAf7WvrN3X/mz5zp1pMZJUkCAtQ/u3Wvtb6UFB0uNG0uBAdLxvF9rypxhBwdJSY2loEAp74RVU/bsOSjIeq2gIOlEvrR3j3SyTE1goPVawUFSfoG0Z0/5M+yAAKumTrB1Zr1nb/kz7AB/azwhdaSCk9Z4yp5h+/tb2yc0xBrH3j3WuDxq/Ky5GhZqvZ89e8ufhfv5Wf9e4WFnnvONEq1//8Iiq6aiOd+okbUfFRZJ+/dJOWXnvKx9LCqy5Gw+u4LOW8Kvc77IWPtYVgVn4cVz3hjpQHrFZ9ixsdY8O9Ocb9hQivl1zv+cIR05y5w/+LN0uII5HxNjPZdkzeWKOmbR0daYJOnwIengWeb8kSPWMaasur/OZ5fLGm9GRvmayEhrO55pzkdE/DqfXdb2O1DBnA8Pt47lfn5Wp2N/Bd0w95w/5jngg2qgQ7I2nMecz5X27T3LnP91Plc055OSzjKfg625GvjrfN6zp3xNUJA1D4MCrf2+ICFZocs/Kr+RzkFWVpaioqIq9/ld7XGpAvv37zeSzNq1az3W//WvfzWXXHJJufqJEycaWfuIx3K+OyhfzvnRI+mysLCwsLBcqMuesBbn9TPWmKp1UALOazSqIpfL5XHbGFNunSRNmDBBY8eOdd8u7qCcb1cNTNSqtBW66CIr+UrWGd/TT0mfflZSlxAvPfWU1KSJdfvkSem556RPFpfUxDaUpkyRLr7Yun3qlPTSS9IH/y2pqR8jTZ4stWhh3S4slF55Rfr3gpKaenWlv/5VuvRS63ZRkfSPf0hvzyupOVY3WX97PUSdorZIsvasWbOk198oqQkPl56YJHXoIHfN3LnSv/4l99lBaIj0+ONSp04lNe++K/3tbyVn4HWCpUcfla6/vuS5339fenlaSRoPCpIeekjq3q2kZtEi6YUXSs6uAwOkBx6QevUqqVm6VHrm2ZIzZ39/afQfpf79S2pWrLC2a/FZsb+f9P/9f9Ltt5fUrFsn/fnJkjNeP5d0773S735nnV1J0tdfS5MmlZzNuiSlpkpDh5bUbNxobY/SZ6p3DJH+8AfrzEmSNm+2tsexUmeqt99mjcnf37r9ww/SI494nmEO6C+N+qN1ViRJO3ZIEyZ4nj326iU9MNY645Gk3bulhx+2znqLde8mPfiQ1Z2QrK7Lww9bnZVina+3Xr9OHet2err1Wmm7S2pSOkmPPW7tA5LVlZowQdqxs6SmQ3vpiSesfUmyulePPCL98GNJzeXtpCeftM5UJevs/E9/kr7bXFLT5lJrn65b17qdlWVt542bSmpatrDmRvFZfE6O9dpffV1Sc/FF1jwsPkM/nic9+Wdp3eclNU0aS08/bZ1ZS1bHZfJkaUWpJm1iI+t5ig8pBQXSM89IS5eV1MTHWftdcrJ1++RJaepU6aNFJTUNG1jP3by5dftUoTTtZen9/5TUxERbNS1bWrcLC6359c67JTV1o6S//EVq29a6XVQkzZwpvTm3pCYi3NrOv/mNddsY6Y03rHlfPJ/DQq19/KqrSmrmzbOOH8Vn6SEh0uOPSSkpJc/93nvSq6+WzPngIGnCI1LXLiU1H3xgHc9OFc/5QGn8eKlHj5KaTz6Rnn/e6nZJ1r4+dqx0880lNZ9+Kj31tOecHzVSKtVY16rV0uS/Wmf9kjWfR4yQBg0qmatffGHtH8d/nfMuScOGSb//fUnNhg3S4xM9O9JD75Luvruk5ptvpMce8+w2/+630v/7fyVz/vvvrX26dFfp1oHS/feXzPlt26y58cuvHaN8Bes3f+igaXf/TwEnrUHu2mXNsdLd3Z49rO1YPOd/+smq2X+gpOaGrtYcDw62bu/fb9X8VOrrm9ddax2XQn6dzxkZVs2utJKaqztKEydaXRzJ6nA98oi0bXtJTdOkEE3LKpnPNc0Rl3jKqlKL6DwwxppIK1ZYB7G77ir5hy9txQqrLj7e+qALCytfs2aNtHixdVBNTbXaiWV98YX1gR4TY9VERZWv2bDBOkhERVkTrF698jWbNlnhITzcep7idmxpmzdL//639X5SU0sO9qX98IP0zjtW8LjrLqtFWtaOHdLbb1sT9M47Sw72paWlWaHI5ZLuuENq2rR8zZ490ptvWgfuIUNKAl5pBw5YB+OCAmnw4JKAV9rPP0uzZ1ut+9tuKwl4pf3yi1WTmysNHChddln5miNHrJrMTCsoXXFF+ZrMTOuD4cgR6+DbsWP5muxs63kOHrSCR+kPhGK5uVZNRoZ0442eIbBYXp70+utWEOnaVerWrXzNiRPSnDnWwe2666wPjbK5v6DA+rfYscMaS+/e5WtOnrT+TX/80fqQ69evfM2pU9a+8f331ra55ZaSA3mxwkJrH/vmG2sb33ZbyYG8WFGRta9u2CC1bm39uwaUOX0yRvrvf6Uvv5QuucTaP4oP5KVrPv5YWrvW2nd+/3trvy1bs3SptGqVdZJx550l4a20zz6zlsREaz5XNOdXrbKeKy7OqikOb6WtW2d9WNevb82xig5ZX30lffihNY/vvrskvJX2v/9J//mP9fi777YujZT17bfSggXWsSc1teSSamlbtlgnHnXqWGMuvnRS2o8/SvPnW9t36NCK5/yuXdY+5OdnbcPGjcvX/PSTNZ+NseZ8ccArbd8+az4XFlonEc2ala9JT7f2+/x8K5i0alW+5uBBa/7k5Um33iq1aVO+5vBha67m5EgDBkiXX16+5uhRqyYzU+rbt+SkrrSsLKvm8GFr7lx9dfmanBxrPD//LPXsKV17bfma48etmgMHpO7dpS5dytfk5VnbZ+9e6/5u3crPw/x8azunpUnXXCPddFPFc/6tt6Tt263x9ulT8XyeN0/aulW68krrmFdBz+CcVOXzu1YCiiR17NhR7du316uvvupe17p1a/Xv319Tpkw542NrOqAAAIBzV5XP71q7xDN27Fjdeeed6tChgzp16qR//OMf2rNnj0aMGFFbQwIAADZRawFl8ODBOnz4sP785z8rPT1dbdq00aJFi9Sk+IsdAADgglVrl3jOBZd4AABwnqp8fvO3eAAAgO0QUAAAgO0QUAAAgO0QUAAAgO0QUAAAgO0QUAAAgO0QUAAAgO0QUAAAgO0QUAAAgO0QUAAAgO3U2t/iORfFv50/KyurlkcCAAAqq/hzuzJ/ZceRASU7O1uSlJSUVMsjAQAAVZWdna2oqKgz1jjyjwUWFRXpwIEDioiIkMvlOq/PnZWVpaSkJO3du5c/RFiN2M41h21dM9jONYPtXHOqY1sbY5Sdna2EhAT5+Z35WyaO7KD4+fkpMTGxWl8jMjKSnb8GsJ1rDtu6ZrCdawbbueac7219ts5JMb4kCwAAbIeAAgAAbIeAUkZwcLAmTpyo4ODg2h6KT2M71xy2dc1gO9cMtnPNqe1t7cgvyQIAAN9GBwUAANgOAQUAANgOAQUAANgOAQUAANjOBRlQXn31VSUnJ6tOnTpq3769Vq9efcb6lStXqn379qpTp44uuugi/e1vf6uhkTpbVbbzggULdOONN6pBgwaKjIxUp06dtHjx4hocrXNVdX8utnbtWgUEBOjyyy+v3gH6kKpu6/z8fD366KNq0qSJgoODdfHFF+u1116rodE6V1W389y5c9WuXTuFhoYqPj5ed999tw4fPlxDo3WmVatWqW/fvkpISJDL5dL7779/1sfU+GehucDMmzfPBAYGmn/+859my5YtZvTo0SYsLMz89NNPFdbv2rXLhIaGmtGjR5stW7aYf/7znyYwMNC89957NTxyZ6nqdh49erR5+umnzVdffWW2bdtmJkyYYAIDA83//ve/Gh65s1R1Oxc7duyYueiii0yPHj1Mu3btamawDufNtu7Xr5/p2LGjWbp0qUlLSzNffvmlWbt2bQ2O2nmqup1Xr15t/Pz8zEsvvWR27dplVq9ebS699FIzYMCAGh65syxatMg8+uij5t///reRZBYuXHjG+tr4LLzgAspVV11lRowY4bGuZcuW5uGHH66w/sEHHzQtW7b0WDd8+HBz9dVXV9sYfUFVt3NFWrdubZ544onzPTSf4u12Hjx4sPnTn/5kJk6cSECppKpu648//thERUWZw4cP18TwfEZVt/Ozzz5rLrroIo91L7/8sklMTKy2MfqaygSU2vgsvKAu8RQUFGjDhg3q0aOHx/oePXpo3bp1FT7m888/L1ffs2dPrV+/XidPnqy2sTqZN9u5rKKiImVnZys6Oro6hugTvN3Os2bN0s6dOzVx4sTqHqLP8GZbf/DBB+rQoYOeeeYZNWrUSJdcconGjRunvLy8mhiyI3mznVNSUrRv3z4tWrRIxhj9/PPPeu+993TzzTfXxJAvGLXxWejIPxborUOHDqmwsFCxsbEe62NjY5WRkVHhYzIyMiqsP3XqlA4dOqT4+PhqG69TebOdy3r++eeVm5urQYMGVccQfYI323n79u16+OGHtXr1agUEXFDT/5x4s6137dqlNWvWqE6dOlq4cKEOHTqk++67T0eOHOF7KKfhzXZOSUnR3LlzNXjwYJ04cUKnTp1Sv379NG3atJoY8gWjNj4LL6gOSjGXy+Vx2xhTbt3Z6itaD09V3c7F3n77bU2aNEnz589Xw4YNq2t4PqOy27mwsFBDhgzRE088oUsuuaSmhudTqrJPFxUVyeVyae7cubrqqqvUu3dvvfDCC5o9ezZdlLOoynbesmWL/vjHP+rxxx/Xhg0b9MknnygtLU0jRoyoiaFeUGr6s/CCOoWqX7++/P39yyXxgwcPlkuGxeLi4iqsDwgIUExMTLWN1cm82c7F5s+fr2HDhundd99V9+7dq3OYjlfV7Zydna3169dr48aNGjlypCTrQ9QYo4CAAC1ZskQ33HBDjYzdabzZp+Pj49WoUSOPPy3fqlUrGWO0b98+NW/evFrH7ETebOcpU6bommuu0fjx4yVJl112mcLCwnTdddfpL3/5C13u86Q2PgsvqA5KUFCQ2rdvr6VLl3qsX7p0qVJSUip8TKdOncrVL1myRB06dFBgYGC1jdXJvNnOktU5SU1N1VtvvcX140qo6naOjIzUd999p02bNrmXESNGqEWLFtq0aZM6duxYU0N3HG/26WuuuUYHDhxQTk6Oe922bdvk5+enxMTEah2vU3mznY8fPy4/P8+PMn9/f0klZ/g4d7XyWVhtX7+1qeIfYZs5c6bZsmWLGTNmjAkLCzO7d+82xhjz8MMPmzvvvNNdX/yjVf/3f/9ntmzZYmbOnMmPGVdCVbfzW2+9ZQICAswrr7xi0tPT3cuxY8dq6y04QlW3c1n8FE/lVXVbZ2dnm8TERHPbbbeZ77//3qxcudI0b97c/OEPf6itt+AIVd3Os2bNMgEBAebVV181O3fuNGvWrDEdOnQwV111VW29BUfIzs42GzduNBs3bjSSzAsvvGA2btzo/nFuO3wWXnABxRhjXnnlFdOkSRMTFBRkrrjiCrNy5Ur3fUOHDjWdO3f2qF+xYoX5zW9+Y4KCgkzTpk3NjBkzanjEzlSV7dy5c2cjqdwydOjQmh+4w1R1fy6NgFI1Vd3WW7duNd27dzchISEmMTHRjB071hw/fryGR+08Vd3OL7/8smndurUJCQkx8fHx5o477jD79u2r4VE7y/Lly894zLXDZ6HLGHpgAADAXi6o76AAAABnIKAAAADbIaAAAADbIaAAAADbIaAAAADbIaAAAADbIaAAAADbIaAAAADbIaAAAADbIaAAAADbIaAAAADbIaAAAADb+f8BXDDSWRYsa38AAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.fft import fft, ifft\n", "\n", "# Generating the sine wave\n", "t = np.linspace(0, 1, 500, False)\n", "x = np.sin(2 * np.pi * 50 * t)\n", "\n", "# Computing the Fourier Transform\n", "xf = np.abs(fft(x))\n", "\n", "# Plotting the sine wave and its Fourier Transform\n", "plt.plot(t, x, 'b', label='Time Domain')\n", "plt.plot(t, xf, 'r', label='Frequency Domain')\n", "plt.legend()\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "86e1ff8a", "metadata": {}, "source": [ "The code first defines the parameters of the signal (sampling frequency, signal frequency, and time vector), generates a sine wave signal, computes the FFT, IFFT, and spectrum (module and phase) of the signal using the numpy.fft module, and plots the original signal, magnitude spectrum, phase spectrum, and reconstructed signal using matplotlib.\n", "This code produces four plots in two rows with two columns. The first row shows the time-domain signals of the cosine and sine waves, while the second row shows their frequency-domain spectra in terms of magnitude and phase.\n", "The numpy library is used to generate the time array and signals, compute the FFT, and perform mathematical operations. The matplotlib.pyplot library is used to create the plots and set the titles and labels for each subplot.\n", "By adjusting the spacing between the subplots using the plt.subplots_adjust function, we can create more space between the plots for better visibility." ] }, { "cell_type": "code", "execution_count": 4, "id": "765bbe95", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# Define signal parameters\n", "amp = 1 # Amplitude\n", "freq = 5 # Frequency in Hz\n", "duration = 1 # Duration in seconds\n", "fs = 100 # Sampling frequency in Hz\n", "\n", "# Generate time array\n", "time_array = np.linspace(0, duration, int(fs*duration))\n", "\n", "# Generate signals\n", "cos_signal = amp * np.cos(2*np.pi*freq*time_array)\n", "sin_signal = amp * np.sin(2*np.pi*freq*time_array)\n", "\n", "# Plot signals\n", "plt.figure(figsize=(10, 5))\n", "plt.subplot(2, 2, 1)\n", "plt.plot(time_array, cos_signal)\n", "plt.title('Cosine Signal')\n", "\n", "plt.subplot(2, 2, 2)\n", "plt.plot(time_array, sin_signal)\n", "plt.title('Sine Signal')\n", "\n", "# Compute FFT of signals\n", "cos_fft = np.fft.fft(cos_signal)\n", "sin_fft = np.fft.fft(sin_signal)\n", "\n", "# Compute frequency array\n", "freq_array = np.linspace(0, fs, len(cos_signal))\n", "\n", "# Compute magnitude and phase spectra\n", "cos_mag = np.abs(cos_fft)\n", "sin_mag = np.abs(sin_fft)\n", "cos_phase = np.angle(cos_fft)\n", "sin_phase = np.angle(sin_fft)\n", "\n", "# Plot magnitude and phase spectra\n", "plt.subplot(2, 2, 3)\n", "plt.plot(freq_array, cos_mag)\n", "plt.title('Cosine Spectrum - Magnitude')\n", "plt.xlabel('Frequency (Hz)')\n", "\n", "plt.subplot(2, 2, 4)\n", "plt.plot(freq_array, sin_mag)\n", "plt.title('Sine Spectrum - Magnitude')\n", "plt.xlabel('Frequency (Hz)')\n", "\n", "plt.subplots_adjust(hspace=0.5)\n", "plt.show()\n", "\n", "plt.figure(figsize=(10, 5))\n", "plt.subplot(2, 2, 1)\n", "plt.plot(freq_array, cos_phase)\n", "plt.title('Cosine Spectrum - Phase')\n", "plt.xlabel('Frequency (Hz)')\n", "\n", "plt.subplot(2, 2, 2)\n", "plt.plot(freq_array, sin_phase)\n", "plt.title('Sine Spectrum - Phase')\n", "plt.xlabel('Frequency (Hz)')\n", "\n", "plt.subplots_adjust(hspace=0.5)\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "aa5652fd", "metadata": {}, "source": [ "### Example 3 - Audio signal Butterworth filter - \n", "This Python code generates an audio signal, applies a Butterworth filter https://en.wikipedia.org/wiki/Butterworth_filter to it, and plots the original and filtered signals. The code first imports the NumPy, SciPy, and Matplotlib libraries, which are used to generate, filter, and plot the audio signal. The linspace function from NumPy is used to generate a time array t with 500 evenly spaced values between 0 and 1. The code then generates a sine wave with two frequencies, 50 Hz and 120 Hz, and adds them together to create the audio signal. The butter function from SciPy is used to design a Butterworth filter with a cutoff frequency of 30 Hz. The lfilter function from SciPy is then used to apply the filter to the audio signal. Finally, the code plots the original and filtered signals using the plot function from Matplotlib\n", "This Python code generates an audio signal, adds noise to it, designs and applies a low-pass filter to remove the noise, and then plots the original and filtered signals.\n", "Here's an explanation of each line of code:\n", "\n", "This code imports three libraries: numpy for numerical computations, scipy.signal for signal processing functions, and matplotlib.pyplot for plotting.\n", "\n", ">import numpy as np\n", "from scipy.signal import butter, lfilter\n", "import matplotlib.pyplot as plt\n", " \n", "\n", "These lines generate an audio signal by creating a time vector t with 500 samples between 0 and 1 second (the last argument False indicates that the endpoint should not be included), and then defining the signal x as the sum of two sine waves with frequencies of 50 Hz and 120 Hz, respectively.\n", "\n", ">t = np.linspace(0, 1, 500, False)\n", "x = 0.5 * np.sin(2 * np.pi * 50 * t) + np.sin(2 * np.pi * 120 * t)\n", " \n", "\n", "Here, noise is generated using the np.random.normal function with mean 0 and standard deviation 1, and then added to the original signal x to create a noisy signal xn.\n", "\n", ">noise = np.random.normal(0, 1, 500)\n", "xn = x + noise\n", " \n", "\n", "This line designs a fourth-order Butterworth low-pass filter with a cutoff frequency of 0.1 (normalized frequency where 1 is Nyquist frequency) using the butter function, and assigns the filter coefficients to b and a. This line applies the Butterworth filter to the noisy signal xn using the lfilter function, and assigns the filtered signal to yn.\n", "\n", ">b, a = butter(4, 0.1, 'low')\n", "yn = lfilter(b, a, xn)\n", "\n", "\n", "These lines plot the original (noisy) signal xn and the filtered signal yn using matplotlib.pyplot, with the noisy signal shown in blue and the filtered signal shown in red. The legend function adds a label to each plot, and show displays the plot on the screen.\n", "\n", ">plt.plot(t, xn, 'b', label='Noisy Signal')\n", "plt.plot(t, yn, 'r', label='Filtered Signal')\n", "plt.legend()\n", "plt.show()\n", "" ] }, { "cell_type": "code", "execution_count": 5, "id": "b20b9a7f", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "from scipy.signal import butter, lfilter\n", "import matplotlib.pyplot as plt\n", "\n", "# Generating the audio signal\n", "t = np.linspace(0, 1, 500, False)\n", "x = 0.5 * np.sin(2 * np.pi * 50 * t) + np.sin(2 * np.pi * 120 * t)\n", "\n", "# Adding noise to the audio signal\n", "noise = np.random.normal(0, 1, 500)\n", "xn = x + noise\n", "\n", "# Designing the low-pass filter\n", "b, a = butter(4, 0.1, 'low')\n", "\n", "# Filtering the audio signal\n", "yn = lfilter(b, a, xn)\n", "\n", "# Plotting the audio signal before and after filtering\n", "plt.plot(t, xn, 'b', label='Noisy Signal')\n", "plt.plot(t, yn, 'r', label='Filtered Signal')\n", "plt.legend()\n", "plt.show()\n", "\n" ] }, { "cell_type": "markdown", "id": "cecc27d3", "metadata": {}, "source": [ "### Example 4 - Convolution - \n", "\n", "This Python code defines two signals, convolves them https://en.wikipedia.org/wiki/Convolution, and plots the original and convolved signals. The code first imports the NumPy and Matplotlib libraries, which are used to define and plot the signals. The first signal x1 is defined as a list of four values. The second signal x2 is defined as a list of three values. The convolve function from SciPy is then used to convolve the two signals. Finally, the code plots the original and convolved signals using the plot function from Matplotlib\n", "\n", "> 1. *import numpy as np*: This line imports the NumPy library and renames it as np for convenience.\n", "2. *from scipy.signal import convolve*: This line imports the convolve function from the scipy.signal library. The convolve function performs convolution on two signals.\n", "3. *import matplotlib.pyplot as plt*: This line imports the pyplot module from the matplotlib library and renames it as plt for convenience. The pyplot module provides a simple interface for creating plots and charts.\n", "4. *x1 = [1, 2, 3, 4]*: This line defines the first signal as a Python list containing the values [1, 2, 3, 4].\n", "5. *x2 = [2, 3, 4, 5]*: This line defines the second signal as a Python list containing the values [2, 3, 4, 5].\n", "6. *y = convolve(x1, x2)*: This line performs convolution on the two signals x1 and x2 using the convolve function and stores the result in y.\n", "7. *plt.plot(x1, 'b', label='Signal 1')*: This line creates a plot of x1 with the color b (blue) and adds a label \"Signal 1\" to the legend.\n", "8. *plt.plot(x2, 'r', label='Signal 2')*: This line creates a plot of x2 with the color r (red) and adds a label \"Signal 2\" to the legend.\n", "9. *plt.plot(y, 'g', label='Convolved Signal')*: This line creates a plot of the convolved signal y with the color g (green) and adds a label \"Convolved Signal\" to the legend.\n", "10. *plt.legend()*: This line adds the legend to the plot.\n", "11. *plt.show()*: This line displays the plot.\n", "\n", " \n", "This code generates two signals, performs convolution on them, and then plots the original signals and the convolved signal on a graph using matplotlib.\n" ] }, { "cell_type": "code", "execution_count": 6, "id": "0534659b", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "from scipy.signal import convolve\n", "import matplotlib.pyplot as plt\n", "\n", "# Defining the first signal\n", "x1 = [1, 2, 3, 4]\n", "\n", "# Defining the second signal\n", "x2 = [2, 3, 4, 5]\n", "\n", "# Convolving the signals\n", "y = convolve(x1, x2)\n", "\n", "# Plotting the signals\n", "plt.plot(x1, 'b', label='Signal 1')\n", "plt.plot(x2, 'r', label='Signal 2')\n", "plt.plot(y, 'g', label='Convolved Signal')\n", "plt.legend()\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "031de1a1", "metadata": {}, "source": [ "### Example 5 - FFT - \n", "\n", "This Python code generates a sine wave and applies the Fast Fourier Transform (FFT) https://en.wikipedia.org/wiki/Fast_Fourier_transform to it. The code first imports the NumPy, Matplotlib, and SciPy libraries, which are used to generate, plot, and apply the FFT to the sine wave. The linspace function from NumPy is used to generate a time array t with 500 evenly spaced values between 0 and 1. The code then generates a sine wave with a frequency of 5 Hz and an amplitude of 0.5. The fft function from SciPy is then used to apply the FFT to the sine wave. Finally, the code plots the original sine wave and the FFT using the plot function from Matplotlib.\n", "\n", ">\n", "import numpy as np \n", "import matplotlib.pyplot as plt\n", "from scipy.fft import fft\n", "\n", "\n", "In this first line, we import the NumPy library, which provides support for large, multi-dimensional arrays and matrices, along with a large collection of mathematical functions. We also import the Pyplot module from the Matplotlib library, which provides a convenient interface for creating plots and visualizations in Python. Finally, we import the fft function from the SciPy library, which is used to compute the Fourier transform of a signal.\n", "\n", ">\n", "t = np.linspace(0, 1, 500, False)\n", "x = 0.5 * np.sin(2 * np.pi * 50 * t) + np.sin(2 * np.pi * 120 * t)\n", "\n", "\n", "Here, we create a time vector t consisting of 500 samples spaced evenly over the interval [0,1)\n", "\n", "We then define a signal x as a combination of two sine waves with frequencies of 50 Hz and 120 Hz, respectively.\n", "\n", ">\n", "X = fft(x)\n", "\n", "\n", "In this line, we compute the Fourier transform of the signal x using the fft function from the SciPy library. The resulting transform X contains the frequency components of the signal.\n", "\n", ">\n", "plt.plot(t, x, 'b', label='Signal')\n", "plt.plot(np.abs(X), 'r', label='Fourier Transform')\n", "plt.legend()\n", "plt.show()\n", "\n", "\n", "Finally, we create a plot of the signal and its frequency components. The first plt.plot command creates a plot of the original signal x versus time, with a blue line. The second plt.plot command creates a plot of the absolute values of the Fourier transform X, with a red line. The label argument is used to provide a label for each line on the plot. The legend function is used to create a legend for the plot, and the show function is used to display the plot on the screen.\n" ] }, { "cell_type": "code", "execution_count": 7, "id": "45c11926", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.fft import fft\n", "\n", "# Generating the signal\n", "t = np.linspace(0, 1, 500, False)\n", "x = 0.5 * np.sin(2 * np.pi * 50 * t) + np.sin(2 * np.pi * 120 * t)\n", "\n", "# Performing the Fourier Transform\n", "X = fft(x)\n", "\n", "# Plotting the signal and its frequency components\n", "plt.plot(t, x, 'b', label='Signal')\n", "plt.plot(np.abs(X), 'r', label='Fourier Transform')\n", "plt.legend()\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "3151f0fe", "metadata": {}, "source": [ "### Example 6 - FFT - \n", "\n", "This Python code generates a noisy sinusoidal signal and applies the Fast Fourier Transform (FFT) to it. The code first imports the NumPy, Matplotlib, and SciPy libraries, which are used to generate, plot, and apply the FFT to the signal. The linspace function from NumPy is used to generate a time array t with 1000 evenly spaced values between 0 and 1. The code then generates a noisy sinusoidal signal with two frequencies, 5 Hz and 12 Hz. The fft function from SciPy is then used to apply the FFT to the signal. Finally, the code plots the original signal and the FFT using the plot function from Matplotlib\n", "\n", "\n", "1. *import numpy as np*: This line imports the NumPy library and gives it an alias np, which is a widely used convention.\n", "2. *import scipy.signal as signal*: This line imports the signal module from the SciPy library and gives it an alias signal.\n", "3. *import matplotlib.pyplot as plt*: This line imports the pyplot module from the Matplotlib library and gives it an alias plt.\n", "4. *t = np.linspace(0, 1, 1000, False)*: This line generates a time vector t using the NumPy linspace function. It starts from 0 and ends at 1, with 1000 equally spaced points. The False argument specifies that the endpoint should not be included.\n", "5. *x = np.sin(2 * np.pi * 10 * t) + 0.1 * np.random.randn(1000)*: This line generates a sinusoidal signal x using NumPy's sin function. It also adds some noise to the signal using NumPy's random.randn function. The signal has a frequency of 10 Hz and the noise has a standard deviation of 0.1.\n", "6. *b, a = signal.butter(3, 0.05)*: This line designs a Butterworth low-pass filter of order 3 with a cutoff frequency of 0.05 times the Nyquist frequency. The b and a coefficients of the filter are returned as a tuple.\n", "7. *y = signal.filtfilt(b, a, x)*: This line applies the filter b and a to the signal x using the filtfilt function. This function performs a forward and reverse filtering to remove phase distortion.\n", "8. *plt.plot(t, x, label='Original')*: This line plots the original signal x against time t using Matplotlib's plot function. The label argument is used to create a legend for the plot.\n", "9. *plt.plot(t, y, label='Filtered')*: This line plots the filtered signal y against time t using Matplotlib's plot function. The label argument is used to create a legend for the plot.\n", "9. *plt.legend()*: This line adds a legend to the plot using Matplotlib's legend function.\n", "10. *plt.show()*: This line displays the plot on the screen using Matplotlib's show function.\n" ] }, { "cell_type": "code", "execution_count": 8, "id": "489b49de", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import scipy.signal as signal\n", "import matplotlib.pyplot as plt\n", "\n", "# Generate a noisy sinusoidal signal\n", "t = np.linspace(0, 1, 1000, False)\n", "x = np.sin(2 * np.pi * 10 * t) + 0.1 * np.random.randn(1000)\n", "\n", "# Apply a low-pass filter to the signal\n", "b, a = signal.butter(3, 0.05)\n", "y = signal.filtfilt(b, a, x)\n", "\n", "# Plot the original and filtered signals\n", "plt.plot(t, x, label='Original')\n", "plt.plot(t, y, label='Filtered')\n", "plt.legend()\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "a1ac5afb", "metadata": {}, "source": [ "### Example 7 - B-splines - \n", "This example calculates the B-spline https://en.wikipedia.org/wiki/B-spline basis functions of order 3, with 100 equally spaced knots, and plots the result." ] }, { "cell_type": "markdown", "id": "cf928f9c", "metadata": {}, "source": [ "This Python code generates a B-spline curve using the bspline function from the SciPy library. The code first imports the NumPy, Matplotlib, and SciPy libraries, which are used to generate and plot the B-spline curve. The linspace function from NumPy is used to generate a time array t with 100 evenly spaced values between 0 and 1. The bspline function from SciPy is then used to generate a B-spline curve of degree 3. Finally, the code plots the B-spline curve using the plot function from Matplotlib\n", "This Python code demonstrates how to generate B-spline basis functions using NumPy and SciPy libraries, and plot them using Matplotlib. Here is a brief explanation of each line of the code:\n", "\n", "1. *import numpy as np and import scipy.signal as sig*: import NumPy and SciPy libraries to use their functions and methods in the code.\n", "2. *import matplotlib.pyplot as plt*: import Matplotlib library to plot the B-spline basis functions.\n", "3. *t = np.linspace(0, 1, num=100)*: create a NumPy array of 100 equally spaced values between 0 and 1, which represent the time intervals for which the B-spline basis functions will be evaluated.\n", "4. *bspline = sig.bspline(t, 3)*: compute the B-spline basis functions of degree 3 for the time intervals defined in t. The resulting array bspline contains 100 values that represent the amplitudes of the B-spline basis functions at each time interval.\n", "5. *plt.plot(t, bspline)*: plot the B-spline basis functions by using Matplotlib's plot function. The t array is used as the x-axis, and the bspline array is used as the y-axis" ] }, { "cell_type": "code", "execution_count": 9, "id": "c85485bb", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import scipy.signal as sig\n", "import matplotlib.pyplot as plt\n", "\n", "t = np.linspace(0, 1, num=100)\n", "bspline = sig.bspline(t, 3)\n", "\n", "plt.plot(t, bspline)\n", "plt.title('B-spline basis functions')\n", "plt.xlabel('Time')\n", "plt.ylabel('Amplitude')\n", "plt.show()\n", "\n" ] }, { "cell_type": "markdown", "id": "dc68e86f", "metadata": {}, "source": [ "### Example 8 - Filtering - \n", "This example filters a signal with a median filter of kernel size 5, and plots the original signal and the filtered signal." ] }, { "cell_type": "markdown", "id": "f939e51d", "metadata": {}, "source": [ "This Python code generates a signal that is a sum of two sine waves and plots its waveform. The code first imports the NumPy, Matplotlib, and SciPy libraries, which are used to generate and plot the signal. The linspace function from NumPy is used to generate a time array t with 100 evenly spaced values between 0 and 1. The code then generates a signal that is a sum of two sine waves with frequencies of 5 Hz and 10 Hz. Finally, the code plots the signal using the plot function from Matplotlib.\n", "The above code is a Python script for filtering a noisy signal using a median filter. \n", "\n", "1. Importing necessary libraries:\n", ">\n", "import numpy as np\n", "import scipy.signal as sig\n", "import matplotlib.pyplot as plt\n", "\n", "\n", "The script starts by importing NumPy, SciPy's signal module, and Matplotlib. These libraries will be used for generating signals, filtering, and plotting results.\n", "\n", "2. Generating the signal:\n", ">\n", "t = np.linspace(0, 1, num=100)\n", "signal = np.sin(2 * np.pi * 5 * t) + np.sin(2 * np.pi * 10 * t)\n", "\n", "\n", "This code generates a signal consisting of two sine waves with frequencies 5 and 10 Hz. The signal is generated using NumPy's linspace function to create a time vector t with 100 samples, evenly spaced between 0 and 1.\n", "\n", "3. Filtering the signal:\n", ">\n", "filtered_signal = sig.medfilt(signal, kernel_size=5)\n", "\n", "\n", "The signal is then filtered using a median filter. The medfilt function from SciPy's signal module is used for this purpose. The kernel_size parameter specifies the size of the filter window. In this case, a window size of 5 is used.\n", "\n", "4. Plotting the results:\n", ">\n", "plt.plot(t, signal, label='Original signal')\n", "plt.plot(t, filtered_signal, label='Filtered signal')\n", "plt.title('Signal filtering with a median filter')\n", "plt.xlabel('Time')\n", "plt.ylabel('Amplitude')\n", "plt.legend()\n", "plt.show()\n", "\n", "\n", "Finally, the original signal and the filtered signal are plotted using Matplotlib. The plot function is used to plot the signals on the same plot, and the legend function is used to add labels to the plot. The resulting plot shows the original signal and the filtered signal side by side, with the title, axis labels, and legend added for clarity.\n" ] }, { "cell_type": "code", "execution_count": 10, "id": "b6948c63", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import scipy.signal as sig\n", "import matplotlib.pyplot as plt\n", "\n", "t = np.linspace(0, 1, num=100)\n", "signal = np.sin(2 * np.pi * 5 * t) + np.sin(2 * np.pi * 10 * t)\n", "filtered_signal = sig.medfilt(signal, kernel_size=5)\n", "\n", "plt.plot(t, signal, label='Original signal')\n", "plt.plot(t, filtered_signal, label='Filtered signal')\n", "plt.title('Signal filtering with a median filter')\n", "plt.xlabel('Time')\n", "plt.ylabel('Amplitude')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "1759e794", "metadata": {}, "source": [ "### Example 9 - Spectral analysis -\n", "This example performs spectral analysis on a signal using Welch's" ] }, { "cell_type": "markdown", "id": "7279e609", "metadata": {}, "source": [ "Method, calculates the power spectral density, and plots the result.\n", "This Python code generates a signal that is a sum of two sine waves and applies a median filter to it. The code first imports the NumPy, Matplotlib, and SciPy libraries, which are used to generate, filter, and plot the signal. The linspace function from NumPy is used to generate a time array t with 100 evenly spaced values between 0 and 1. The code then generates a signal that is a sum of two sine waves with frequencies of 5 Hz and 10 Hz. The medfilt function from SciPy is then used to apply a median filter of size 5 to the signal. Finally, the code plots the original and filtered signals using the plot function from Matplotlib.\n", "This Python code is used to compute and plot the power spectral density (PSD) of a signal using the Welch method https://en.wikipedia.org/wiki/Welch%27s_method. Here is a breakdown of each line:\n", "\n", "1. These lines import the necessary libraries for the code, including NumPy, SciPy's signal processing module, and Matplotlib.\n", ">import numpy as np\n", "import scipy.signal as sig\n", "import matplotlib.pyplot as plt\n", "\n", "2. These lines generate a test signal which is the sum of two sine waves of frequencies 5 Hz and 10 Hz, respectively.\n", ">t = np.linspace(0, 1, num=100)\n", "signal = np.sin(2 * np.pi * 5 * t) + np.sin(2 * np.pi * 10 * t)\n", "\n", "3. This line computes the PSD of the signal using the Welch method, which is a technique for estimating the PSD of a signal by dividing the signal into overlapping segments, computing a periodogram for each segment, and then averaging the periodograms. Here, fs is the sampling rate of the signal and nperseg is the length of each segment.\n", ">f, Pxx_den = sig.welch(signal, fs=100, nperseg=64)\n", "plt.semilogy(f, Pxx_den)\n", "4. This line plots the PSD using a logarithmic scale for the y-axis.\n", ">plt.title('Power spectral density of the signal using Welch method')\n", "plt.xlabel('Frequency (Hz)')\n", "plt.ylabel('Power spectral density (dB/Hz)')\n", "plt.show()\n", "\n", "\n", "These lines add a title, axis labels, and display the plot. The x-axis shows the frequency in Hz, and the y-axis shows the PSD in dB/Hz." ] }, { "cell_type": "code", "execution_count": 11, "id": "551dce5c", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import scipy.signal as sig\n", "import matplotlib.pyplot as plt\n", "\n", "t = np.linspace(0, 1, num=100)\n", "signal = np.sin(2 * np.pi * 5 * t) + np.sin(2 * np.pi * 10 * t)\n", "f, Pxx_den = sig.welch(signal, fs=100, nperseg=64)\n", "\n", "plt.semilogy(f, Pxx_den)\n", "plt.title('Power spectral density of the signal using Welch method')\n", "plt.xlabel('Frequency (Hz)')\n", "plt.ylabel('Power spectral density (dB/Hz)')\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "d96c81db", "metadata": {}, "source": [ "### Example 10 - Detrend -\n", "This example detrends a signal with a linear fit, and plots the original signal and the detrended signal https://en.wikipedia.org/wiki/Linear_trend_estimation.\n", "This Python code generates a signal that is a linear function of time with added Gaussian noise and plots its waveform. The code first imports the NumPy, Matplotlib, and SciPy libraries, which are used to generate and plot the signal. The linspace function from NumPy is used to generate a time array t with 100 evenly spaced values between 0 and 1. The code then generates a signal that is a linear function of time with added Gaussian noise. Finally, the code plots the signal using the plot function from Matplotlib.\n", "This Python code imports three libraries: numpy, scipy.signal, and matplotlib.pyplot. It then creates an array of 100 evenly spaced values between 0 and 1 using the linspace function from numpy and assigns it to the variable t.\n", "Next, it creates a signal variable by adding a linear function of 2*t+1 and some random noise generated by np.random.randn(100) to each value in the t array.\n", "The scipy.signal.detrend() function is then used to remove the linear trend from the signal using the 'linear' method. The detrended signal is assigned to the variable detrended_signal.\n", "Finally, matplotlib.pyplot is used to plot the original signal and the detrended signal against the time axis (t). The title, x-label, y-label, and legend are also added to the plot. The plot is displayed using the show() function.\n", "\n", "In summary, this code generates a signal with a linear trend and random noise, removes the linear trend using the scipy.signal.detrend() function, and plots both the original signal and the detrended signal on a graph using matplotlib.pyplot. This code can be useful for analyzing and visualizing trends in time-series data.\n", "\n", "1. *import numpy as np* - Imports the NumPy package and assigns it the alias np. NumPy is a package for scientific computing in Python that provides support for arrays and matrices, as well as mathematical functions to operate on them.\n", "2. *import scipy.signal as sig* - Imports the signal module from the SciPy package and assigns it the alias sig. The signal module provides signal processing functions for filtering, Fourier analysis, and more.\n", "3. *import matplotlib.pyplot as plt* - Imports the pyplot module from the Matplotlib package and assigns it the alias plt. Matplotlib is a package for creating visualizations in Python, and the pyplot module provides a simple interface for creating and customizing plots.\n", "4. *t = np.linspace(0, 1, num=100)* - Creates a one-dimensional array of 100 equally spaced points between 0 and 1, inclusive, and assigns it to the variable t.\n", "5. *signal = 2 * t + 1 + np.random.randn(100)* - Creates a new array of the same shape as t, with each element equal to 2 * t + 1 plus a random number drawn from a normal distribution with mean 0 and standard deviation 1, and assigns it to the variable signal.\n", "6. *detrended_signal = sig.detrend(signal, type='linear')* - Applies a linear detrending function to the signal using the detrend() function from the signal module, and assigns the result to the variable detrended_signal.\n", "7. *plt.plot(t, signal, label='Original signal')* - Plots the original signal on a graph, with t on the x-axis and signal on the y-axis, and adds a label to the plot legend indicating that this is the original signal.\n", "8. *plt.plot(t, detrended_signal, label='Detrended signal')* - Plots the detrended signal on the same graph as the original signal, with t on the x-axis and detrended_signal on the y-axis, and adds a label to the plot legend indicating that this is the detrended signal.\n", "9. *plt.title('Signal detrending')* - Sets the title of the plot to \"Signal detrending\".\n", "10. *plt.xlabel('Time')* - Sets the label of the x-axis to \"Time\".\n", "11. *plt.ylabel('Amplitude')* - Sets the label of the y-axis to \"Amplitude\".\n", "12. *plt.legend()* - Adds a legend to the plot, with labels for the original and detrended signals.\n", "13. *plt.show()* - Displays the plot." ] }, { "cell_type": "code", "execution_count": 12, "id": "68813e05", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import scipy.signal as sig\n", "import matplotlib.pyplot as plt\n", "\n", "t = np.linspace(0, 1, num=100)\n", "signal = 2 * t + 1 + np.random.randn(100)\n", "detrended_signal = sig.detrend(signal, type='linear')\n", "\n", "plt.plot(t, signal, label='Original signal')\n", "plt.plot(t, detrended_signal, label='Detrended signal')\n", "plt.title('Signal detrending')\n", "plt.xlabel('Time')\n", "plt.ylabel('Amplitude')\n", "plt.legend()\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "22c0002c", "metadata": {}, "source": [ "### Example 11 - Convolution - \n", "This example convolves a signal with a moving average kernel, and plots the original signal and the convolved signal.\n", "This Python code generates a signal that is a sine wave with a frequency of 5 Hz and applies a 1D convolution to it using a kernel. The code first imports the NumPy, Matplotlib, and SciPy libraries, which are used to generate, filter, and plot the signal. The linspace function from NumPy is used to generate a time array t with 100 evenly spaced values between 0 and 1. The code then generates a signal that is a sine wave with a frequency of 5 Hz. The convolve function from SciPy is then used to apply a 1D convolution to the signal using a kernel. Finally, the code plots the original and filtered signals using the plot function from Matplotlib.\n", "\n", ">\n", "import numpy as np\n", "import scipy.signal as sig\n", "import matplotlib.pyplot as plt\n", "\n", "\n", "The first three lines import three Python modules that the code will use:\n", "numpy, a library for scientific computing in Python, which provides support for arrays and linear algebra operations.\n", "scipy.signal, a module within the scipy library that provides various signal processing functions.\n", "matplotlib.pyplot, a plotting library that provides tools for creating plots, histograms, and other visualizations.\n", "\n", ">\n", "t = np.linspace(0, 1, num=100)\n", "\n", "\n", "This line creates an array t that represents a time axis for our signal. It uses the linspace function from numpy to create 100 equally spaced time points between 0 and 1.\n", "\n", ">\n", "signal = np.sin(2 * np.pi * 5 * t)\n", "\n", "\n", "This line creates a signal array that contains a sine wave with a frequency of 5 Hz. It uses the sin function from numpy to generate the sine wave.\n", "\n", ">\n", "kernel = np.ones(10) / 10\n", "\n", "\n", "This line creates a kernel array that contains a moving average filter. The kernel is created by creating an array of 10 ones using the ones function from numpy, and then dividing each element of the array by 10 to normalize it.\n", "\n", ">\n", "convolved_signal = sig.convolve(signal, kernel, mode='same')\n", "\n", "\n", "This line convolves the signal array with the kernel array using the convolve function from scipy.signal. This creates a new convolved_signal array that represents the original signal convolved with the moving average filter. The mode='same' argument specifies that the output array should have the same shape as the input array.\n", "\n", ">\n", "plt.plot(t, signal, label='Original signal')\n", "plt.plot(t, convolved_signal, label='Convolved signal')\n", "plt.title('Signal convolution with a moving average kernel')\n", "plt.xlabel('Time')\n", "plt.ylabel('Amplitude')\n", "plt.legend()\n", "plt.show()\n", "\n", "\n", "These lines plot the original signal array and the convolved_signal array using the plot function from matplotlib.pyplot. The title, xlabel, ylabel, and legend functions are used to add labels and a legend to the plot. Finally, the show function is called to display the plot." ] }, { "cell_type": "code", "execution_count": 13, "id": "cba1cf0e", "metadata": {}, "outputs": [ { "data": { "image/png": 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xxxwT8VxNTQ2BQIBHH320zf5nz54N0KX3Dl37XfTG+0kkjLR4gwisVis33XQTDz74ID/++GOH47Kzs/nmm2/abC8vL+/xsV9++WWsVivvvvtuxA/5zTff7NH+cnNzATkRfdCgQe2OURf7srKyNs/t3LmTnJycHh371FNPZcGCBSxatIg77riDF154gRNPPJHMzMyIY3d0XKDTY6vnx+v1ahc3aLtYdofMzExMJlOP59Qdpk2bRkpKCitWrGDbtm0cccQRSJLEEUccwf3338+3335LSUnJHhtLPWXlypXs3LmTVatWad4GkJP0o0F2djZff/01QogIg6myspJAIBDxOcyaNYsBAwbw3HPPMWvWLJ577jmmTZvWaxWs6m+koqKCoqIibXsgEOiSQd+d37XqaX3uuee46KKLeO655xgwYIBmbIH8HZQkic8++yziu6+y67b2CiG6+vmGv/dd2XWtUxPkP/zwwzZjAVJTU9vdvuvcP/74Y2bNmsXMmTP58MMPtTUjMzNT8/J25C0fOnRoxOP23ntX6Y33k0gYnqV+THsXRWh1QavehPY45JBDcLvdfPDBBxHb1TvCnqCWtZrNZm1bS0sLL7zwQo/2d9RRR2E2m3n88cc7HDN9+nScTif/+c9/Irbv2LGDlStXcsQRR/To2JmZmZx44ok8//zzvPvuu5SXl0eE4EAORf3888+sXbs2Yvvzzz+PJEkcdthhHe5frcL54YcfIra/8847bcba7fYueUKSk5OZNm0ar7/+esT4UCjEf/7zHwYOHMioUaN2u5+uYLVaOfjgg1m+fDkrV67kyCOPBOCggw7CYrFw/fXXa8ZTZ3TVk9Vd1IvMrhfef//73716nI444ogjaGxsbGNQPP/889rzKuoF9M033+Szzz5jzZo1bb5re8LBBx8MyNVj4fz3v/8lEAjs9vXd/V2fc845fP3113z++ee88847nHXWWRGvPe644xBCUFpaytSpU9v8TZgwoUtzgt1/vqNHj6agoIBXXnklYntJSQlffvllxLbjjjuOmpoagsFgu/MaPXr0bucFcoXjJ598wo4dOzj00EO1MGVSUhKHHXYY69atY+LEie0eoyuevq7SW+8nUTA8S/2YWbNmMXDgQI4//njGjBlDKBRi/fr13H///aSkpHDZZZd1+NqzzjqLBx98kDPOOIPbb7+dESNG8MEHH7B06VKgrfRAVzj22GN54IEHOO2007jwwgupqanhvvvua/fusSsUFxfzj3/8g9tuu42WlhZOPfVU0tPT+fnnn6muruaWW24hIyODG264gX/84x+ceeaZnHrqqdTU1HDLLbfgcDi46aabenRskEMKS5Ys4a9//SsDBw5s4yW54ooreP755zn22GO59dZbGTJkCO+99x4LFy7kkksu6dQwmT17NllZWZx33nnceuutWCwWFi1axPbt29uMnTBhAi+//DJLlixh2LBhOByODi8od911F0ceeSSHHXYYf//737HZbCxcuJAff/yRl156aY/uVHfliCOO0JTi1XPjdDqZMWMGy5YtY+LEieTl5XW6j+HDh+N0Olm8eDFjx44lJSWFAQMGdGrod4UZM2aQmZnJxRdfzE033YTVamXx4sV8//33e7TfrnLmmWfy2GOPcdZZZ7Ft2zYmTJjA559/zp133sns2bPbfJfOPfdc7r77bk477TScTidz587ttbmMHz+eU089lfvvvx+z2czhhx/OTz/9xP333096evpuf+vd/V2rXtlTTz213XDiAQccwIUXXsg555zDmjVrOPjgg0lOTqasrIzPP/+cCRMmcMkll3Q6p65+viaTiVtuuYWLLrqIOXPmcO6551JfX88tt9xCYWFhxHv/85//zOLFi5k9ezaXXXYZ++23H1arlR07dvDxxx9zwgkncNJJJ3U6L5WxY8fy2WefMXPmTA4++GBWrFjBwIEDefjhhznwwAM56KCDuOSSSyguLsbtdrNlyxbeeeedXs1z7M33kxDEMrvcILYsWbJEnHbaaWLkyJEiJSVFWK1WMXjwYDFv3jzx888/R4xtr9qhpKREnHzyySIlJUWkpqaKP/7xj1rJ8ltvvaWN27UkVqW9iq5nn31WjB49WtjtdjFs2DBx1113iWeeeaZNhVd3qi+ef/55se+++wqHwyFSUlLE5MmT21RPPf3002LixInCZrOJ9PR0ccIJJ4iffvopYkx33ocQciXNoEGDBCCuu+66duf2+++/i9NOO01kZ2cLq9UqRo8eLe69914RDAYjxrFLJZMQQnzzzTdixowZIjk5WRQVFYmbbrpJPP30023O1bZt28RRRx0lUlNTBaBV8LRXDSeEEJ999pk4/PDDRXJysnA6nWL//fcX77zzTsQYtZLq22+/jdiuVuF8/PHH7b7fcL7//nsBiJEjR0Zsv+OOOwQgFixY0OY1u1bDCSFX7YwZM0ZYrdaI89Tdz2tXvvzySzF9+nSRlJQkcnNzxfnnny/Wrl3bYfVdOB2dH/XYVVVVEdvbm2tNTY24+OKLRWFhobBYLGLIkCHi2muvFR6Pp91jzpgxQwAdVn/u+h3qzmfo8XjEggULRF5ennA4HGL//fcXq1evFunp6eKKK67o9FwI0fXftcppp50mAHHAAQd0us9p06Zp39Phw4eLM888U6xZs0Ybc8ghh4jx48e3+/rufL5PPvmkGDFihLDZbGLUqFHi2WefFSeccIKYPHlyxDi/3y/uu+8+sffee2vrzZgxY8RFF10kNm/e3Ok5au87sGPHDjFmzBhRXFwsfv31VyGE/Ls999xzRVFRkbBarSI3N1fMmDFD3H777drr1M/w1Vdf7dJxhGj/d9HV99MfquEkIfZA7c/AYBfuvPNOrr/+ekpKSozWCgYGCcyXX37JAQccwOLFiznttNNiPZ2oUl9fz6hRozjxxBN58sknYz0dgyhghOEMesy//vUvAMaMGYPf72flypU88sgjnHHGGYahZGCQQCxfvpzVq1czZcoUnE4n33//Pf/85z8ZOXJkhEp4IlJeXs4dd9zBYYcdRnZ2Nr///jsPPvggbre701QFg8TCMJYMekxSUhIPPvgg27Ztw+v1MnjwYK6++mquv/76WE/NwMCgF0lLS2PZsmU89NBDuN1ucnJyOOaYY7jrrrvalKAnGna7nW3btjF//nxqa2tJSkpi//3354knnmD8+PGxnp5BlDDCcAYGBgYGBgYGnWBIBxgYGBgYGBgYdIJhLBkYGBgYGBgYdIJhLBkYGBgYGBgYdIKR4N0LhEIhdu7cSWpqaq+K9hkYGBgYGBj0HUII3G43AwYM6FRg1TCWeoGdO3d22HvMwMDAwMDAIL7Zvn17p5I3hrHUC6gNBbdv305aWlqMZ2NgYGBgYGDQFVwuF4MGDdptY2DDWOoF1NBbWlqaYSwZGBgYGBjojN2l0BgJ3gYGBgYGBgYGnWAYSwYGBgYGBgYGnWAYSwYGBgYGBgYGnWAYSwYGBgYGBgYGnWAYSwYGBgYGBgYGnWAYSwYGBgYGBgYGnWAYSwYGBgYGBgYGnWAYSwYGBgYGBgYGnWAYSwYGBgYGBgYGnWAYSwYGBgYGBgYGnaArY+nTTz/l+OOPZ8CAAUiSxJtvvrnb13zyySdMmTIFh8PBsGHDeOKJJ9qMee211xg3bhx2u51x48bxxhtv9MHsDQwMDAwMDPSIroylpqYm9t57b/71r391afzWrVuZPXs2Bx10EOvWreMf//gHl156Ka+99po2ZvXq1cydO5d58+bx/fffM2/ePE455RS+/vrrvnobBgYGBgYGBjpCEkKIWE+iJ0iSxBtvvMGJJ57Y4Zirr76at99+mw0bNmjbLr74Yr7//ntWr14NwNy5c3G5XHzwwQfamKOPPprMzExeeumlLs3F5XKRnp5OQ0ODbhrpBkMCfzCEw2qO9VQMDAwMDAxiQlev37ryLHWX1atXc9RRR0VsmzVrFmvWrMHv93c65ssvv+xwv16vF5fLFfGnJ4QQXPTCGqbctpxfKtyxnk7Cs2ZbLfcu3YjHH4z1VAwMekwwJNDpvbWuEEJw8Qvf8ecnV+P2+GM9HQOFhDaWysvLyc/Pj9iWn59PIBCgurq60zHl5eUd7veuu+4iPT1d+xs0aFDvT74Pefv7nazYUEmTL8hDK36J9XQSmvd+KOPUp77isY9/5YXVv8d6OgmLEIJKl4ePN1Xy1vpS/MFQrKeUUDR5A8x84BOm3fkRL39TQjBkGE19xRdbavjwp3K++q2Wq/77g2GgxgmWWE+gr5EkKeKx+sUL397emF23hXPttdeyYMEC7bHL5dKNweT2+Lnjvdaw5Pv/K2dTuZvRBakxnFVi8uLXJVz35v9Q17rX15VywcHDYjupBEIIwb8//Y0vtlTz804XNU0+7bmaRh/nHjg0hrNLLFZtqmJrdRMA17z+P577YhvXzB7DoaNyO10rDbrP86u3af//4Mdynvl8K+cfZKwbsSahPUsFBQVtPESVlZVYLBays7M7HbOrtykcu91OWlpaxJ9eeHjFZirdXoqzk5g5Ng+AR1dujvGsEgshBI99vIV/vCEbSifvU4TNbGJDmYuN5foK2cYza36v458fbOSzzdXUNPkwSZCTYgNg2c8de4YNus8HP5YBMHVIJhlJVjZVuDnnuW+Z98w31IYZqQZ7Rml9Cys2VABwzgHFANz1wUa+2Vobw1kZQIIbS9OnT2f58uUR25YtW8bUqVOxWq2djpkxY0bU5hktNpa7eO7LbQDc/IfxLDhyNADv/a+MzUbuUq8ghODO9zdw79JNAMw/dDj3/2lvDhuTC8Aba0tjOb2E4rPNcih9xvBs3vrLAfx0y9G8fskBAKzZVofLyPfoFTz+IB9vrATg+uPG8cnfD+OCg4ZiM5v4fEs1j3xk3Gz1Fou/+p2QkL/TNx43jhMnDSAYEvzlxbVUuj2xnl6/RlfGUmNjI+vXr2f9+vWALA2wfv16SkpKADk8duaZZ2rjL774Yn7//XcWLFjAhg0bePbZZ3nmmWf4+9//ro257LLLWLZsGXfffTcbN27k7rvvZsWKFVx++eXRfGt9jhCCG9/8iWBIcPT4Ag4dnce4AWkcNS4fIeBfH2+J9RQTgq9+q+Wpz7YCcN3ssVx19BgkSeKkyQMBeHN9qZHv0Ut8uUU2lv6w9wD2HpSB02ZmcHYSw3KTCYQEXyjGlMGe8fnmapp8QQrTHUwsSic9ycp1x47jvlP2BuCr32piPMPEwBsIsuTb7QCcOX0IkiRx58kTGJWfQpXby19fXEfAyMWLGboyltasWcPkyZOZPHkyAAsWLGDy5MnceOONAJSVlWmGE8DQoUN5//33WbVqFZMmTeK2227jkUce4Y9//KM2ZsaMGbz88ss899xzTJw4kUWLFrFkyRKmTZsW3TfXx7y5vpRvttXisJq44fhx2vZLjxgJwDvf7+TXqsZYTS9hWK1cOI7fe0BEftJhY3JJd1qpcHlZ/atxcdlTmrwB1m+vB+CAETkRzx02Wg4vf7ypMtrTSkg+/EkOac4aX4DJ1JqfNH2YnMqwqcJNfbMRittT3v9fGTVNPgrTHcwcK6eBJNksPH7GFFLsFr7ZWsuTn/0W41n2X3RlLB166KEIIdr8LVq0CIBFixaxatWqiNcccsghrF27Fq/Xy9atW7n44ovb7HfOnDls3LgRn8/Hhg0bOPnkk6PwbqKHy+Pnjvc2AvC3w0dSlOHUnturKJ2ZY/MICXhspeFd2lPWldQBsF9xZsR2u8XMcRMLAXh97Y6ozyvR+GZrLYGQYFCWk0FZSRHPtRpLVUYl0R7iD4ZY/rOcQ3P0XgURz+Wm2hmWm4wQctjTYM94XqmWPX3aYCzm1kvz8NwUrjpaTplYucG4AYgVujKWDHrGez+UUd3oZWhOMucf1LZCSPUuvbm+VKt4Meg+oZBgfUk9AJMHZ7Z5/uR9igD5Tr3ZF4jm1BKOz5UQ3AHDc9o8t+/QTJJsZqrcXn7aaSTU7wlf/1ZLQ4uf7GQb+xZntXl+P2Xbt9uMBOQ94X87GlhXUo/VLDF338Ftnp8xXPbi/bizwQjFxQjDWOoH/K+0AZDd6HZLW8XuiQMzOGx0LiEBj68yvEs9ZUtVI25vgCSbmTHtSDHsMziTIdlJNPuCLP3JqNbaE75QjKUZI9oaS3aLWQvNrTJCcXvEhz/JVXBHjc/HbGorEbDfUNlY+tqo1tojVLmA2RMKyU21t3l+WE4KKXYLHn+ILUa6REwwjKV+wE+KsTR+QMcSB2p+zapNVVGZUyKy9nc5FDFxYHqEG11FkiROnCR7l143quJ6THWjl43lcvWmese9K4eOlqsPje9zzwmFBEt/kkNws8YXtDtG9Tb9WNpgeEt7SF2Tj7e/3wnAmdOL2x1jMknsVSSv3z9sb4jW1AzCMIylBCcQDGkXlr2K0jsct/fADCQJKt1eahq90ZpeQrFWyVfap50QnIoaivtiSzWVLqMUuCeoCfJjClLJSWl7Fw5wqJK3tLakzkg+7iFrS+qocntJdViY0U64E2BgppMB6Q4CIcE6JQRt0D1eX1eKNxBi/IA09hmc0eG4vQfKz32/oz4q8zKIxDCWEpxfq5rwBkKk2C0M2SURNpzksOdV48qge6ztJF9JZUh2MlOGZBIS8Nb6nVGaWWLx5a9KvlI7ITiVogwno/NTCQn41JAQ6BEf/CiHimeOzcdmaf9SIUkS+yqhOEM4sWd897t83v6w94BO1dAnDJRvdn/YYXiWYoFhLCU4PyohuHGFaRFlv+0xpkB2824oM5Jiu0tDs58tlXIuweRO7g4BTpose5feXG+E4nrCF1tkz9IBI9oPwakcqgiBrtpo5C11FyEEHyrG0q5VcLuyn2Es7RGblJvTsYWdd4JQPUsby114A0ZT7mhjGEsJjloNNK6TfCUV9ce6oczwLHWX9YprfEh2UoehIRVVQ2VDmQuP31j0usP22mZKapuxmCT2G9q5saRKCKz6pYqQIQTaLX7a6aK0vgWn1czBI3M7HatWxK3bXocvYFRqdQdvIMi2mmaA3fbnHJjpJDPJij8ojDU6BhjGUoLz407Zs9RZvpLKmEL5x2p4lrqPmtzdWb6SSn6anVSHhZCAbTWGVEN3UKvg9h6UQYq98z7gU4Zkkmq3UNvk44dSI3TRHVSv0qGjc3Ha2lbQhjMiL4WsZBsef0irvDXoGr9VNREMCdKdVvLaqYILR5IkJirepR+MvKWoYxhLCUwoJNigeJbaVMJtfA+WXgf+Fm3TOMWztKWyEb+h5dEtWpO7M9o+GfRD7VbtoSRJjMxLAWBzhVEG3B2+UJK7D+igCi4cq9nEQaPkvKaPjVBct1DV0Q8Z1blXCeTv89Qh8k2CobfUPX5RenKOzk+NzFfasgJ+erPN+L2NvKWYYRhLCUxJbTNubwCbxcQI5eIMQNUmePUcWP0v+PJf2uaiDCcpdgu+YIjfqgyPR1cJhYR2cWmT3F1fAk8eCo9Mgi0faZvVz2NzpWEsdRUhBKt/7VhfCQC/B5paE7rVqjhDb6l7qK2PRuYroaFQCFbcAu9fBXXb2ow38pZ6hpqvNKogbH2u+x1enAuvngVrnosYb3iWYodhLCUwar7SmIJUrKruTygIb86HoCIP8MVD0Chr0ZhMkiamuLHcCMV1lS1Vjbg97YhRbv8GnjocKn6UH3/1uPbUyDx53K+GsdRlNlW4qW704bSaW5Pof10JH90KL50Gj0yGOwvh3uGw8X2g1TPyQ2kDLT4jP6wrNHkDlDXIshbDc5PljSWr4fMH4Jt/w6NT4K2/RhhNqrH07bZao1F0N1A9S6Pyw9aN1Y9BSNGseu/KiJusiYpnaUtlI01eQ9cqmhjGUgKj5iuNHxCWr/Tlo1C6BuzpkDcOfI3wyd3a02re0s9G3lKXUfvBRYhRfv8yLDoWmqogR+7rxJYV8l0jMCJf9SwZiZpdRa2C23dolqxEX/ETvHASfHY/bHoPan8DoYSP1z4PQH6ag4wkK8LID+syasuj7GQbGUk2eeP/XpH/TcqWL+TrXmg1mryNjCtMI9lmxu0JaN4Sg92zaVdjqalG++5SNBVEEF49Gyp+BiAvzUFBmoOQaK10NogOhrGUwPy0a75S1Sb4+E75/0ffCccoRtJ3z0G13OZErYjbaFRbdJm1v9cDSghOCDlc8cZFEPTBmOPggpUw7FBAwNr/B8CIXNlY2lrdZPR66iKrd81XUrxH5I2HY+6BM9+Cs96Rt/26Erzyd7g4W/aOGH0Pu4YaghuufEcJeOGnN+T/z3kOzlsOw49oNZo++ScWs4l9lLylb7bWxGLauqPJG2B7rZwzqhlL3zwJgRYo3BvOeR+GHABeF7x4CrhlNfWJRt5STDCMpQRFCKG1OdmrKB2CAXjzEjn8NvIomHQ6DD0YRs6SF72PbgYMraWeEKHcvfUTOVwBcNCVcMoLYE+BKefI29b9B4J+ijKcOK1m/EHB77XNMZq5vtiieOFUcT42L5P/nXYhTLtINkiLD4Ks4fL3fPNyAIblGMZSd1BDw8PzlBDc5uXgaYDUQig+EAbtB/Neh+MfVp5fAcA0LRRXF/U56xE1XzE31U5Wsg18TXKYE+CAy8Fih7n/kb/PDdvhpT+Dr5m9B2UAhpJ3tDGMpQSlwuWlpsmHWc1D+vIRKP1ODr8d/zColRczbwbJBBvegZKvtZwbo+1J12ho8WuL3uTBGbJHA2Din+GIG8Gk/MTGHAvJedBYAZvex2SSWpO8jYq43eIPhthRJ9+FD81JlsMVO76VnxxxZOtASYKxx8v/3/BO63gwiha6yK+KUTksR/EsqSG4CXPAFCYjMPYPgARVG8BdrvWJ+3prLUIYeUu745fy1ko4QL6RaqmDzKEw7gR5W1IWnP4qOLNg51r45J+GZylGGMZSgqLGs0fkpuBwbYNVd8lPHH0XpA1oHZg/TvYyASy/gWSbmSHZRtuTrqJWwWlilNu+kJ8YdmjkQLMV9pkn/3/Ns0BrRdwWI29pt+ysbyEQEtgtJvJTHfDrR4CA/AmQXhQ5eOwf5H83LwO/h6FKkrKRs9Q1IjxLngbY9KH8xIRTIgcmZcnhIoDfVrH3oAwsJonqRi87G4y+h7sjIl8p6G+tTJ7xt0ijNHt4a8rElo+YWJQByNXORt/D6GEYSwlKRL7Sz2/J+TPFB8Gk09oOPuwfYHHC9q9h47uMNUJxXWZdeAjO2wg718lPFB/QdvA+ZwES/LYKan4NM5YMz9LuUFWOh2QnyW17flkqPzHyyLaDB0yGtCK5eOG3VZpnyQjD7Z5QSGjnaVhOCvz8thzSzB0DBRPavkC9KfhtFQ6rmYGZTgB+NwzT3aJpLBWkyDlhDSWQnNv+Gj30YPnfip9IN7VQrNzQGt6l6GEYSwnKT2olXFG6HH4DGDWrNfwWTtoAmP4X+f+fPxSm5G14PHaH2jx3n8EZsrEpgpA+GDIGtx2cOQRGHKG88P+1ClMaxtJu2aZcwIuzk2X5iy1yngwjj2o72GSSE+sBNryjJXjXNvmMO/HdUFrfgjcQwmY2yYaPGoKbeEr7a0eYsYQQDFbOdUmNkYe3OzSNpbwU+ELJ/5p2MVidbQenFkDGEEDAjm+ZYOgtRR3DWEpQNM9SYSrsWCNvLJra8Qv2OVP+t+x7xuU5AENrqStsUs7RXkXp8LsSgmvPq6SiJXovZkS2FZCrj4zeZZ2jhtCKc5Ll77OnHhwZMHDf9l+g5i1teo9kCxSkyd9pw7vUOWolXHFOEpamctj6mfzEhD+1/4LB08HiAHcZVP/CkCzZ41FiFC10Sn2zj0q3nBM6pukbWYvNlgL7ntfxiwZNk//d/rWm5P294VmKGoaxlIDUNfkorZeTYcenNkJjOUjm1vyC9sgYDM5MCPmZaNkByInHRtuTjvH4g1S45AVvSHZya77SkE6MpVFHy1VFzdUMqViJzWzC4w9pn5dB+/weFoZjsxKCG3EEmDvoDzd4uqwJ1FIHv39hhOK6iJoEPywnBf73X0DI57I9TymA1QGD91devErLdzQqPDvnF6WoY2CmE+fmd+WNk8+Q1+COGNxqLBlK3tHHMJYSENWrNCQ7idSq9fLG/HFgS+r4RZIk53oAeY0btLYnxsWlY9TqrBS7hUyrvzXc2ZlnyWzRvHjmdf+PYUrysSFO2TkRYThVMmDkrI5fYLbA6Nny/ze8I3ukMIyl3aFpLOUlww9hIbjOUENxv37MYNWzZIThOiUiubv8B3lj8YGdv0j1LO1Yw16FSZgkueq5wmUk00cDw1hKQNR8pb0GpMtq3dB5CE6lcBIApvL1jC5Q85aMUFxHbK+TLwiDspKQdqyBkB9SB8ilv50xca78b8lXjMqVO40bSd4dEwiGtHM9zOGC8v8BUmv+V0eoVXEb32VYtpwH8pthLHWK6lmaZC+Hiv+ByQrjTuz8RaqxtO1zBmfIoWUjwbtzVNmAMblOqNwgb2wvgT6cvHFgTwNfI0l1v8jebFoNXIO+xTCWEpAfFc/SuAFpULpW3jiwC8aS4lli5zrGGkneu2W7EmoYlOmMzFdqLxE2nKxh8qIX8rNviqx2bGgtdUxZgwd/UGCzmMgvV3JoiqZAcgfNdFWGHQK2VHCXsbfpV6DVQ2XQPuqFd0Kd6r07UpYI6IyCiXL4yOem2LsJAJcnYCTTd4LqWZqSXC5XKjvSlQTuTjCZW9fx7V9rlYc7ao0QfjQwjKUERPMsFSa3lrJ3xbOkGkuVGxineDwMz1LHqMbS4KykruUrqUgS5I8HYC+zkh9meJY6RE3uHpyVhGmLchEf1UkITsVih1FytdzI2o8BOQxnCCa2j9vj15KOc+rWyxvHHLv7F5rMWmm7o+QzclPlteN3IxTXLkIITTZgjNgmbyyYuPubLIhI8h6khDx31BnnORoYxlKCEQiGtEVqnKUU/M3y3XXOyN2/OH2g1ihzsr0UMIylzlArfoakm1vVpHeXd6CiGEuDA78BshCgcRFvH9UbNCLLIpeoQ/v6Su2hVMVlbPsQs0mi2RfUDAKDSNQQXF6KDUuVEhrK36trLx52mLKTj42KuN1Q5fZS3+zHJEF+8y/yxt2F4FRUY6kkzLNUZ3iWooFhLCUYFW4vwZDAapbIrvufvLFocqQibEeEJXkP9W8GjLYnnaE2wRwvNsvCfcl5kD2iay9WLkKZrk2YTRJub0CrrDOIRBWkPNC2RRaaTMmHgk4qO8MZMROQkOq2sleGHBYy2p60jxqCm5zth5ZaQILc0V17sZq3tONbRmbI/zWMpfZRQ3DFOclYKn+UNxZM7NqLB06V21M1lDDCIe9nu+FZigqGsZRglCp3GQMynJh2diO5W0VJ8nZUfm+0PekEIYQWhhvSGKba3RVXOmjGkqnyZ+1O3KiIax81WXgfb1gvOFMXly57qlb2vn9qNWBUxHWEaiztlyx3tydrWPsCie2RNVTOuQkF2N8s5y0ZSd7to4pRjslLVooVgMIuGkv2VM0rPdL7E2B4lqKFYSwlGGr8uijD2b3kbhUtyft7RubJSd5GtUVbGlr8uL0BADIqlYt4V/KVVPLGyv82ljMpW96PURHXPqpnaVDj9/KG4Yd1bwe5YwCYaC8HYGu1cZ7bQ/W4jbfIIXjtO9pVFO/SeI8soWHkLLWPmq80NcMNXheY7ZAzqus7GCTrWuU3yL+HcpcHbyDY6/M0iMQwlhIM1bM0LFW0lqR2x7M0YJL8b+XPFKfLX4+d9YaOx66oIYYBKSbMO76RN3Y1XwnAnqJJDExLli/iRpJ3W4IhoWj2CJJdcn5Xl/NoVHLlC9Fw5GR6w7PUPupN0eDg7/KGvHHd24FiLBXVyr8HIwzXPpuUytdJ1hJ5Q95YudF2V1Hylpzla3BYTQgBZcYa3ecYxlKCoSpBT7JsBQSkD4LU/K7vIK1IbuYogkwwl0Ts06AVNV/p0NSdEGiRE+MVD0aXUdzpY03yed5iyAe0oayhBV8wRJG5HpO/UVaiz9qNjtWuKJ9LgU82AgxjqS3BkGBbtWzcZDfJMgvd9iwNPQQAZ/0mMnFR7vLg8Rsej3BCIcEWNWfJr5znrobgVBQlb6n8B4ZnyLmoRiiu7zGMpQRD/dGMDsh5AxTt070dSJKWtzQ8sAWAnYax1Ab1rnmGZaO8YciMrucrqSgVMIN8WwHYYoQ726CGcvZPq5U3ZBbLkgDdQTGWUt3yxamktpmA0cYngh11zfiCIewWCVutsnZ017OUnC03kQb2spUjhHER35Uyl4cmXxCrWSKjQRWj7KaxlD5IFr8NBTgwSb4BMJK8+x7dGUsLFy5k6NChOBwOpkyZwmeffdbh2LPPPhtJktr8jR8/XhuzaNGidsd4PPp0a6peoKKmn+UN3QnBqSh5S4XNsiFgGEttURen8X4lQXNIN0JwKopnKd21CUmC2iafUXm4C6oXaJKzUt7Q1eqscJR8EHNTBbmWZvxBYXhLd0ENwU3LakbyNcrK3dnDu78j5TX7pMjGbUmt4cULR11LC9OdmCq6WQmnIkkwaD8Apppk6QFDa6nv0ZWxtGTJEi6//HKuu+461q1bx0EHHcQxxxxDSUlJu+MffvhhysrKtL/t27eTlZXFn/4U2UE7LS0tYlxZWRkOhyMab6lXCYVaLwJptUq/oe4kd6soeUvpdfKPucLlMRrq7oJaCVfYouikDNq3+ztRjCVT1UYGp9sAI29pV9SKqtHmMnlDV/TCdsWRJoeXgQMz5Iu40fYkEjW5e/8UpRIuZ2T38mhUlM9nvE3ej5HkHYlqLI1O8YC7DGgVqO0WSvPiUV75ptjw4PU9ujKWHnjgAc477zzOP/98xo4dy0MPPcSgQYN4/PHH2x2fnp5OQUGB9rdmzRrq6uo455xzIsZJkhQxrqCgIBpvp9epbvLiC4QYINVgaSqX8zuUkFq3UDxL5ppNpJn9hASUN+jT09ZXlNQ2k0IzDq/croTsHlzEM4rBmgxBLwdk1QNGRdyuqJVwA0Nycna3qobCUTxSU5zyRXyrobUUgdbmpKeVcCrK76AY2bg1jKVI1GKZqfbt8obs4XKxR3dRkrwL3f9DIqTdvBn0Hboxlnw+H9999x1HHXVUxPajjjqKL7/8skv7eOaZZ5g5cyZDhkT24GlsbGTIkCEMHDiQ4447jnXr1nW6H6/Xi8vliviLB9S7i0OTFU9b/jiwJXV/R6mFkJyHJEIcmCovekYorpVgSFBa18IQSbkLT86VvRfdxWSSPyNgsm0nYOQe7IrqWcpq2SZv6LGxJOctjTbL59lI8o7kV8V4LA6FVWj1BCUMl++XjQGjIi4SdR0dI22TN3Q3BKdSMAGsSdj8DQyTygzPUhTQjbFUXV1NMBgkPz+ysis/P5/y8vLdvr6srIwPPviA888/P2L7mDFjWLRoEW+//TYvvfQSDoeDAw44gM2bN3e4r7vuuov09HTtb9CgQT17U72MKhswzS4nDFM0pWc7ClPy3s9uVMTtSllDC4GQYKRZFe/rQW6HiuKCH6H0iDJKgFsJhQS/1zSTTAuOZuU33pMwHGiepUFB+ftsGEuR/KZ4lnJaFHmG7iZ3qyifT2rLDswEDWHKXShrkNfRIT2thFMxW7Ubh6FSOZVur1F52MfoxlhSkXapOBJCtNnWHosWLSIjI4MTTzwxYvv+++/PGWecwd57781BBx3EK6+8wqhRo3j00Uc73Ne1115LQ0OD9rd9+/YevZfeRjVoxocUQ68nyd0qirE0XpIXT8Oz1IoqGzAxSQ3B7YmxJGsGFXrl82yEO1uRxfZCjDArhlJyntzdviconqXMZvlGwjCWWmlo9lPd6MNMEEe9XAHbY89S2kCwODCF/AyUqthe10IoZPQ8VClVbobyGpWKw672hGsPRUJjlKVS2bexRvclujGWcnJyMJvNbbxIlZWVbbxNuyKE4Nlnn2XevHnYbLZOx5pMJvbdd99OPUt2u520tLSIv3hArogQDPIpC153ZQPCUZK8h/rkBOZSw+OhoeYHjLIqFVpZw3q+M7VHnFs+zzsbjAVPZZvildgvRW5T0uMQXNhr7U07SaGZnQ0txp24wlblPE9JrUcKesHilPPpeoLJpHlaR5rK8AVCVLiNtUOlrKGFJDw43dvkDV3tcdgeyroz1iH/PoxQXN+iG2PJZrMxZcoUli9fHrF9+fLlzJgxo9PXfvLJJ2zZsoXzzjtvt8cRQrB+/XoKCwv3aL6xoLSuhWxc2INNgLRn4SElMTyreRtOPMZdSxhqXtFgIee/dLl5bnsoOUv2pp2k0UiFy2PciSuoycET7GEVWj0lKUtuwAtMdFQihJF8rFKuGOj7Jik3onljut57rz1y5N/DpGTZ82qcZ5lmX4D6Zj9jpBIkhJwbmpLb8x0qxtIwk3zTZiR59y26MZYAFixYwNNPP82zzz7Lhg0buOKKKygpKeHiiy8G5PDYmWee2eZ1zzzzDNOmTWOvvdq2SbjllltYunQpv/32G+vXr+e8885j/fr12j71RGl9C4MlxduRNgCseyB/kFYIKQWYCDFO+t0Iw4WhJq3m+pXKoT0JwznSNSG/sabt+IOC6iZDawlgmxIqG2FSjNI98SyBlrc0LbUKMHrEqZQpod+xWiVcD/OVVJSbh7FW2cgtMYwloLUSbopNSaLfkxAcaMbSgJBchGN4lvoWS6wn0B3mzp1LTU0Nt956K2VlZey11168//77WnVbWVlZG82lhoYGXnvtNR5++OF291lfX8+FF15IeXk56enpTJ48mU8//ZT99tuvz99PbyKEXKE1U63QyuxmS4j2KJwIm8sZayrh9fpxXc4PS3S21zaTRiNOf728YU/CcCAneTeUMNW5k6+bxlJW7yEvVX86X72NGoYrVCqr1B5vPSZ3DGz9lAlW+eJiaC3JqHlyw/a0Ek5FlQ+QFPkAQ5gSaM373Me2Hfz0vBJORVl30n3lWAkYwpR9jK6MJYD58+czf/78dp9btGhRm23p6ek0N3f8JXrwwQd58MEHe2t6MaO+2U+TL8gQs5pHU7znO1V+jAOlKpp9Qeqb/WQmd57z1R8oqW1hqKSELFILwZa8ZzvMHw+/fMDeVvnOvqyhhb0HZezZPhOA32uaMRMkvUW5iPeSZ6lYyJpNRthCRvUsFXqVKto9NpZkz1KBTzZyjTCcjFoJp8kG9LQSTiUlH6xJmPzNFElVbK/L2bP9GXSKrsJwBh2j5hSNtCnJsJnFe75TZR8jrNURx+jPtPiCVDd6KVaNpT3JC1MpkMPDI4Xc56nMqIhDCMG2miYGSZWYQn456Tht4J7tVKmIy/NuA4zKQ5XyBg82/K1G6Z6G4ZScpWRfFUl4DK0lhdJ6DxYCDPJvkzfsqWdJkrQb2mKpglLDs9SnGMZSgqDGq4eb5XyMXgnDZcjhzWKTvE8jb6k1uXusTfHgZe9hCA60irgi/1YkQoaxBFS4vHj8IUaa1DYnI/Ys6Rg0Yym5uRQHXspdRm4YQJmrhWFSGSYRlHPoUvewuMWZCUmyl2OoVGYYSwplSk6pRfhl5f6MIbt/0e5Q5AOGSBVUN/po9gX2fJ8G7WIYSwmCGq8eIFSPRy8YS4pnaYCQ86AMz1Jr6GaMTTFK96QSTiVrGFgc2EIehkgVhlFKa77SPknKed7TEBxAcg4kZSMhGC6VUeEyjNJQSFDR4GWUpOSF5Y2TPRZ7ivK7GC6VUd/sp6HFv+f71Dk7G1oYJKk3s8V7bvyD5lkaqciYlBpJ3n2GYSwlCKX1LTjwkhFUhBJ7w7OUKd/5JIUaSaPRuIjTWgnXq2E4k1nLExkjbTfCQ4S1hbCqyt2je2fHindphLSD2iZfv9daqm324QuGGG1SjaU9zFdSUUJx4x2ycWBUxMnq/IPUauXMXvAqgbbOj7LI59moiOs7DGMpQSitC7trsaf3XOk4HFuy3PcMGCRVaaWv/RlZvVtQEOgF2YBw8uS2JyOlHUYYDlm9G6BYKOd5TzSWwlGSvMdYZDmCyn4eilMN8wlWRZ5hT/OVVDT5ANnY7e8VcUIIdja0MFBSckozBvfOjhXP0mDl5s3oLdl3GMZSgrAjvLFrVnHvuNJBC8UNkqrYYXiWKKltJgs3jmAjIPWOBw+0O82BUjXlLg/Bfi5MKRsxggJfL1XCqSiepb0U+YDyfh6KUw3z1jBcL3mWFPkAtWq0v1fE1TX78fhDDFQ9S72RrwSasZQbKMdM0PAs9SGGsZQgRAhS9kYlnIryox5s5NIAcs6SFoJLH7hnwp/hKHeaA03VBEOC6kbD45GNC2fQBUi958FTPEvDkeUD+ruxVK603ygIKTdaub0VhpONpXzfdkD0+zCcunYONfeyZymtCMx2zCJAoVRjaC31IYaxlAA0egM0tPgZ3JuClCqK4TVYqqTK7cUb6L85HkIIttc1M0yt0NpTMcpwlMVziEleTPu7YVru8jBcUkJDGYPB6uydHSuepYJgGTb8WquP/kpZQ9h5Ts6F5Oze2XFmMUgmbKFm8qinrJ8bperveaCW4N1LniWTSVujh0gVWpNvg97HMJYSALUCYoSS5NcrlXAq6g9RuSMq68d5SzVNPpp9wVZByt7ydoBmLOVTjcmQD6DS5WG42uYkt5eSu0EW8nOkYyLEUKmM8gbDg9d6Ae/FdcNi17zSw0xlVPZzY6mswUMSHtKFS97QW54liNBaMjxLfYdhLCUA6g+k2KSG4XrTWDK0llT6RDZAJbUQTBasBMijrl8bS6GQoNLtbfV49Fa+Esi5fIp3aaRU2u/lA8oaPBRpSceDenfnyu9jmCHTwM76ltZKOEeGrGfVWyjG0hCpgrpmP41eQ2upLzCMpQSgtL4FEyHyQ32Qs6Tsq0BUYSLUr7WWVNmAYSY1kb4XPUsms5x/ABRJ1ZT14/Nc3eQlEBJhDXR7qRJORfFUjTSVGjlLrjBjKb2XjaUcNcm7jLpmf78O4e+M8OD1UghORYkkjLTI67/hXeobDGMpASita6GAWqz4wWSVE497i7QixePhJ5+6fm0syWXWggHBXpYNUFGTvKWqfu1ZUsv5W9W7e9GzBGE9Dyv7taaVEEIJw/WtZ2mE8jn2Z5kG2bOkGEu9VQmnohhLw8zyTdwOI2+pTzCMpQRgR10LQ1RvR8Zg2UvRW5jM2h3nYKmyX4fhKt1e8qjHLjwgmXp/0ctolQ8o68eJx+UNHhx4KURV7+7FnCXQvs8DpWoqXB5C/VSmwdUSoMUfDPMs9WIeDbQaS2Y5x6/S3X8N07IIY6mXz7Ni/BeGypEIGVpLfYRhLCUAO8Lj4b0ZglNRtZZMlf1amLLC5WlN7s4YDBZb7x4gQ72I92/PUrlynk0IcGb1XoWWimIsDZBqCIQENU2+3t2/TihzKRVapj7yLClhuAGiAisBKvqpZykQDFHuCg/DFffuAdIHg8mCTfjIp87QWuojDGMpASiNEKTsxeRuFU2YsrJfh+Eq3V6KTb3Y5mRXwsJwFS4PgWCo94+hAypdnlYtq95MoldRwtSFUi0mQv02+biswUMKzaShqGv3ds5SaiFYkzETYrBU0W/Pc6XbS0jAYFMfheHMFm3tKDZVaIUoBr2LYSzpHI8/SHWjlyFSH1TCqWSqwpSysSRE/wxbVIZ7lvriIh4mTBkSUNVPhSnLXR4G9FUeDUBqAUhmLATJpb7fevHKwyvhnJlgT+ndA0itYqJDpfJ+61mSUxdE34XhIKztSUW/L1roKwxjSeeonh5NNqBPPUtV+AKhfhm2EEJQ4fKGeTz6zrNUJFUjEeq3Ic9yl5cBUq38oDeLFVR2qTzsrxeXCNmA3vYqqSihuGHSzn6rtbSzwUMaTaSgeHz60Fgqlir6dSJ9X2IYSzpHFaQcbOr7nCXVICvthzHxRq+cDKsZS30RhksdAJIZGwFyaei3Sd6V4Z6ltD4wlkDzWBVJ1VT0W89SS5jGUh9cwCFCa6m/GqURlXDJeWBL6v2DaFpL5VQ3evtt0UJfYhhLOqe0voU0GkkTjfKGvjCWlBh7DvU48PbLirgKlxeJUGvOUnYvtjpRMVs0j8dAqarflrWXuzwUSjXyg77wLIXtd4BU02/DcFHxLCnrUZFSedgf6dNKOJUwz1IgJKht7n/e/77GMJZ0zs76ltZ8pZR8sCX3/kGcmWCXFWcHSlX9Msm70u2hkFoc+MFk6f0yaxUtybu6X4bhPP4g9c1+ijRjqahvDqQZS/33It6nGksqivE/QKrpt+Gh0vo+FKRUUXJVi00VgOi357ovMYwlnVPl9jK4L2UDQE7U3CXJu79R6QqrhMsslr1AfUGEMGX/PM82/ORKDfKGvvJ4hHmW+mt4qDwaniXlPBdItbi9fpr6YSuOsoYwaZe+8ixlDgEkkvGQg4uKfqxp1VcYxpLOqXR7W2UD+qISTkUxlgZJVf00DOcJk2fogxCcSj9X8S53eShQk7stTtmr2Rekt3rw+mPOktvjx+0N9F1fOJW0AQAkS17SaKLS3f88Hn2q3q1isWsG7xCpnCrDs9TrGMaSzql0exjclxpLKorXSlbx7n8Xl0q3NyyPpo8uLLCLMGX/NEpbvR0DZa9mXxAWhnN7A/2u+WiFy4MdH3lSvbyhr8LKVickyaKiA6TafhfybPEFqWv2930YDrT1v1iq6Ndq6X2FYSzpnKiE4cL23V+FKStccs4S0Hd5NBAhH1Dp9uLvZ8KU8nnu43ylsH2nS82k0NzvkunLGsKS6K1JkJTVdwdT8pYKpZp+ZyztbJA1llpzw/rSWFK0lkwV/dKD19cYxpKOCYYE1Y2+MNmAPvQsZRQDsrFU2+TrdxfxCM9SWnSMJSFEv1v0yhs8DOjrSjgAeyo4MgBZybu/XcTbVML1lQcP+nWSd1m9h2xcJEleQOrb77ShtdSnGMaSjqlt8mEO+Rig3olHKQwHgprG/lWaWunyUKjm0ih5GH1CWhFIJhySX9Za6mdevAq3t9VY6iuNJRVNa6n/yTREJHf3Vb6SSno/9iyF5yulDZBzi/qKsDXaCMP1PoaxpGMq3fKCZ5IEWJMhObfvDpYxCJBIlrxk4e5XP0ZZvTvcWOpDz5LZKotTIuct7exnF/GKaHmWQMs9K+qHFXGRnqU+Ps/hYbh+5indGY1KOBXlPOdLtf3OIx0NDGNJx1RFVMIV960r3WLXPCqDpUqq+tGPsdEbwOpXXen0rWcJIiriyvtZkndUBClVwpK8+59nqaU1j6YvCxag9TzT/8KdO+tbopOvBNq6lEc91e7+28OzrzCMJR1T6fZGpxJOJczN25+MpQqXt9Wr5MySK3z6krC8pf5UeSh78Fqi5/Hox1pL5S5v37c6UenHCd4VLm+rZ6kvK+EAUvIQkhmLFCItUEdDi79vj9fPMIwlHSN7lqJQCaeiHGOgVNmv3LyV7nBvRx+G4FT6qTBlQ4sfe6CRFEm5oPZluBM0Y6mon3qWioiWZ0k1lmqpcPUvj0eV29sqG9DXRqnJjJRaCMiGaX9ao6OBYSzpmCq3t7Wxa3YfNHbdlYxWFe/+5FmqDPcs9fUFHMK0lvrXRTwiBOfM6puGo+Eo2kL9zbPk8QdpaPa2in/2dYJ36gAEEnbJT7K/Hpen/2haVTWGG0t97FkCLRRXINUaFXG9jO6MpYULFzJ06FAcDgdTpkzhs88+63DsqlWrkCSpzd/GjRsjxr322muMGzcOu93OuHHjeOONN/r6bfQKlW5Pq7HUl6rSKprWUlW/MpYqwi/iUTGWWj1L/SnBu8LljV5yd9gxCqilrrG538hhlDd4yKcOqxREmCygeCP6DIsNKSUPUDwe/cQwDYYEtY1hYeW+DsOBZiwVSrX9qggnGujKWFqyZAmXX3451113HevWreOggw7imGOOoaSkpNPXbdq0ibKyMu1v5MiR2nOrV69m7ty5zJs3j++//5558+Zxyimn8PXXX/f129ljqhuaW+PhUTGW5B/7EFP/UoitdHtbBSn7OrkbInKWqhs9/eYiHtVKOICUfITJikUKkSvq+80NgFwJJ3s7pLQBYDL3/UHDtJYq+onHo7bJR66owy4FEJJZq3LtU8I9S/3k+xwtdGUsPfDAA5x33nmcf/75jB07loceeohBgwbx+OOPd/q6vLw8CgoKtD+zuXVxeOihhzjyyCO59tprGTNmDNdeey1HHHEEDz30UB+/mz1HcpVik4KETLa+16QBLbchnzqq3f0nl6YivF9ZNDxLaQMRSDglH1nC1W80rcpdHgZEK7kbwGSSjQXkirj+0ouv3NUSZpT2cR6NSkTeUv84z+H5SlL6wL5rvh1OuGepnxil0UI3xpLP5+O7777jqKOOith+1FFH8eWXX3b62smTJ1NYWMgRRxzBxx9/HPHc6tWr2+xz1qxZne7T6/Xicrki/qKNEIKUJtmjFkgfAqYofJQp+QjJhFUKEmqs6jeJmpUR4aEoGEsWm5aoObAfhTyjpmUVTpgXr79cxMsaPGHl7H2cr6Si3MzJWkv94zxXNXpbBSmjEYKDXTxL/eM8RwvdGEvV1dUEg0Hy8/Mjtufn51NeXt7uawoLC3nyySd57bXXeP311xk9ejRHHHEEn376qTamvLy8W/sEuOuuu0hPT9f+Bg2K0oITRqM3QGFoJwCmnCgkdwOYLQhF+DIjIDcg7Q9Uulqi61mCsLylaqob+4+xFDXZABWtIq6m3yTTl+/a6iQapPe/lidV7jBjqa8r4VRUmQaMarjeJgp+wd5F2kV4UQjRZpvK6NGjGT16tPZ4+vTpbN++nfvuu4+DDz64R/sEuPbaa1mwYIH22OVyRd1gqgyrhLPkjIjacU1pA6CxggKpjiq3lzSHNWrHjgVCCJrddSSblYWnr5NhVTIGw/av+pVnqTyiiW60LuKtwpTb+5Fn6fCoe5b6n9ZSpGxAcXQOqniW8qU6qvrJeY4WuvEs5eTkYDab23h8Kisr23iGOmP//fdn8+bN2uOCgoJu79Nut5OWlhbxF20qXWHq3dEQpFRJDfsx9oOLeKM3QGZATqIX0ShnVwkLD1X1E89SVUNzqwcvGuFOiBSm7CeepUpXLDxLahiuf+UsRU2NXiWlQJFpCOBzV0XnmP0E3RhLNpuNKVOmsHz58ojty5cvZ8aMGV3ez7p16ygsbPUOTJ8+vc0+ly1b1q19xoKqRi/FmrEUpTAcQJp87vpL/6Fw9W4pWiE4CNNa6h+eJX8wBE1V2KSgXDmUUhCdA2v94ar7jdZSVbixFOXwUD51VDU0R+eYMaaq0UuBVCc/SIuSR9piQyTLMg0Z/ioa+0mqRDTQVRhuwYIFzJs3j6lTpzJ9+nSefPJJSkpKuPjiiwE5PFZaWsrzzz8PyJVuxcXFjB8/Hp/Px3/+8x9ee+01XnvtNW2fl112GQcffDB33303J5xwAm+99RYrVqzg888/j8l77CpVDU3M0oylKMgGqChhqAL6h2epMkJjKQqlvyphWkv9wbNU3ehtDcGlFkancgg0Y2lAP0nwFkIQbKohyar2OYzSDUBqAUIyYyVIqLGCUEhgMvVhL8s4oMrtIV81lqIVvgdMaYXQVEGBommVkpsStWMnMroylubOnUtNTQ233norZWVl7LXXXrz//vsMGSJXGpSVlUVoLvl8Pv7+979TWlqK0+lk/PjxvPfee8yePVsbM2PGDF5++WWuv/56brjhBoYPH86SJUuYNm1a1N9fd/DUbMcuBQhIVizRcvFCRLXFb/3BWHJ7ox8aAk3td6BU3S9yD8obWmUDpGh+n5XPNE1qwd1Qu9t8Rb3jagmQG1LCysn5SFZHdA5sMkNqAbhKyQ3VUNfsIzvFHp1jxwi3q4E0SfGiRdFYIq0IytYrwpRehhnGUq+gK2MJYP78+cyfP7/d5xYtWhTx+KqrruKqq67a7T7nzJnDnDlzemN6UcNUtxUAt7OIzGiIyqmkqmG4/uFZqnB5oitIqaLc8SdJXjyNtdE7boyIUEmPplFqS0Y4s5BaaskNVlLf7Ccz2Ra940eZqsbWBrpStJK7FaT0geAqVZK8vQlvLEmNci5syJKEyZ4avQMbwpR9gm5ylgwisbu2AeBJjZJ+h0o/0/GoDE/SjIbwp4rVQdCeAYC5sSx6x40RFS4vRdFOhlWQwpK8Ez3kWd3ojb7Gkkq4ineCrx0ef5AUn5xgLVILIZreyghhysQ+z9HEMJZ0SmqzHG4MZUaxEg40z1K61IzL1RDdY8eASKHEKHqWQDvXKb5qPP5gdI8dZSKa6EbTKIXIysMEvxOvcnujXwmnkt4qH5DoF/HqRi/5ikfalB7ldUNLpq9N+O9zNDGMJZ2S49sBgCVn5G5G9jKONILWZABMjR0LdyYKlQ1RbqIbhrrI5kt1CS9MGfW+cOFowpSJLwBaHRaGi1olnEq4ineCC1NWub1acrcUzXwl2KWZbmKf52hiGEs6xBsIUhSSQzNJBVE2lgChlHXbWyoIJHiT12Z3DcmSWjkU3TtEdZHN6weVhxVuT3RbyoQTHoZL8PMcE+0fFU3FO/G1lqobfdGXDVAJS5WoaOg/PTz7GsNY0iHVbg9DJLmiJWXAqKgf36x6PKilpilxm7wKITC5ZaM06MiMniClSqpslPaHZPqaehe5khLWjXp4qFXFuzrBmxZXN3pjUs4O7KLindjf5yq3l7xYnWfleMmSlyZ34heHRAvDWNIhdWVbsUt+/FiQon1hAa1Te0GCX8QbvQGygkrX8GjnK4FmLBVIdQl/EbcoSewhixOcmdE9eHprzlKih+Fq3C3koBilqVES/lRRjKU86qlxNUb32FGmyh0mSBltY8mW1Foc4t4Z3WMnMIaxpEM8FXK7lkpzfvTE+8JRhSkTvCKuwtWqsWSKdsgC+o1Mgy8QItUnC6yKtKLoVg6B5lnKp446d1N0jx1l/K5KzJJASCZQmmJHjeRcQiYrJkkQciX2Rbyq0UM+MTKWQDNMU31VCV8cEi0MY0mHBKp/A6DGFoMLOEQ2a0zgi3hlLCvhQMt1yJPqqGpMXKO0psnLAEW92xTtcnbQLuJmSRByJbZMg1qUEXDmykKRUT24SS6jB+xNZQRDIrrHjyJVLk9rGC7aOUuAKUM2lgokoyKutzCMJR1iqZONJXdylKtZVMI8S4n8Q6x0h7XgiHIlHKCdZzlskbjGUrXbpyUdS9FO7gYwmQgkyY2zTY0V0T9+lBBCYG9RPHjRDsEpqB7aAmoTOuTpdVVhl5S+bNHqcxiGpFXE1SS09z+aGMaSDnE2/g6AL604NhMI8ywlcmlqhcsTm1YnKsl5CCQsUgifK3Ev4tWNXq3VSdSTu1UU48HhqSSUoB6PhhY/2UL2dpijrf2joAqAykneCXwRV3Lw/I5ssMRAET6scXFlgifTRwvDWNIh6S3b5f9kDY/NBMI8HtWuxC1NrXR7W8vZYxGGM1vwO3OA1tYJiUhVo5cBWrgzBkYpYE6XjaUsUUdDiz8mc+hrwivhzDEIDQERwpSJ6lkSQmBrUjx4KTE6z8oabWgt9R6GsaQ3QiFy/XJypC1vRGzmkJKPwIRVCuJrSFyPR0VDS+xUpRXUxdbanLjnOdKzFCNjKS3xBUAr3V7yYpl0DBEtTxK1wrPRGyAzJBv/5vRYnecwraVE9uBFEcNY0hvuMuz48AszKflRbnWiEubxIIH7lrkb6sIEKWOz6KnhkoxgDU3eQEzm0NdUu32t2j8x8iyRIucs5VOXsP3hqhvDznOMcpYIC8MlqlFa5fZSgGosxSbcGa5pZXiWegfDWNIZoZpfAdgucsnLSI7ZPNSqFltTBUIkZo6HyS23lAnY0sEWm3NtSVeT6RPX4+Fyu0iXmuUHitESddTQslSfsB6PancMBSlV0lqrtKrdiXme5VYnSlg5ZudZNtLSpWYaGupjM4cEwzCWdEZz+S8A/C7yyUmxx2we6h1TVqiaJl9i6nhYm+Q8oVBqjLwdEJYflrgyDQGlXD9osoMjPTaTUDwteVId1Ql6nqsaw1WlY+tZypVc1LvdsZlDH1PV6CVfqpcfxCo3zJFGwCLf4ImG0tjMIcEwjCWd4anYAkC5ZQBWc+w+Poui45GoWkvNvgCZQTmPRtUsiQlpiS9MKbnlfCxfUl70BSlVwlrLJKoHr9bVRDaKgRIrj4czk4DZAYBwJeZFXFbvVj1LMQrDAcEU+diWpsRNlYgmhrGkM4QShqtzxKjEWkXVWqKWygRMIKx2+7RKOHOMko6BCBXvRL2IW1vkPociBno0Gsp5zpIaqXMlpsfD11Auq2dLFnBmxWYSkoQvSf6cze7EvIhH9oWL3XdaUrz/SZ5K/Ane8DwaGMaSzrA2bAOgKVaClCrhKt4JeBGvbmpN0pRi0epEJSw8lIiepUAwRLJP7r9nTouhseTMJGiyynNKUE0rSTFOfM5cMMVu6RdKXppNMZITjdqGRnIll/wgFpIjCtYwFe9EvdGKJoaxpCeEILlJFqQMpMeoEk4lwVW8q93eMNmA2C146nnOlVzUJmDz0dpmH7nUA2DNiOF5liR8jjz5/+7E1LSyNMvGSTA5hkYprUZxkq86IVue+Fzy9ycYSw8erWr4hVKtIUzZCxjGkp5o2IE15MUvzJizimM7F03HIzFVvGuafLHtC6fizJIXXeQwSqIRLhtgimHIAiCkeDzMTYnnWQqFBE6PbCzFTPtHwaZ4PHKop7Yp8SriJKVJsM+ZH1MPXrjWUiKu0dHGMJb0RNVGALaKAnLSYycbAGgej7QELU2tDk/SjJX2D4DJJC+6gEhAj0d1o1fzLMUs6VhBUoy1JG9lwslhNLT4yVEEKWPqwQNMaWpouT4hw0OqgGwoxsZ/q9ZSLTUJeJ6jjWEs6QnFWPpFDCQvLXayAQA40vCbkwAI1O+M7Vz6ALernlRJaeUS40UvqHg8VCmDRKK60UueWmadGiONJQVbpnxxyRJ1uFoSSwC0qtFLPjFudaKiJPLnUUdNgmlaBUOCJK+agxdbozTcs5SIRmm0MYwlPVEpG0ubQwPJjaHGkopf6dQuJWBVixry8pscYE+N6VxMisfF6Uk8j0dNuKp0LKvhaBUATUQV77gQpFRRjOJE9CzVNfvIUwpDrJkx9EiD5lnKkVzUJ2iFZzQxjCU9oXiWNosi8tIcMZ4MhFQV7+bE83ioSb5eZ27stH8UVI9HtqjF5Uksj0edy02mpCSuxzpskZK4WktxIUipksjnOUw2IOYePGcmAZMNgEBD4t3QRhvDWNILQiDCwnC5qbH3LFkUHY8UX2XCVbWYlcqhUFJsQ0MAlowwmYYES9T01suLeECygTMztpNRjIjcBPR4VMWhZyldaqbe5YrtXHqZ8L5wMS0MAZAkPEq+o5p0btBzDGNJL7hKkXyN+IWZSksRKXZLrGeELVPWH5JzDxLr4mJXKodifhcOES1PEu0iriatex05MffgRQiAJphRWudqJCtePHiODNk4Bnz1ieXxiDRKY792BJPl77Q1Eb3/UcYwlvRCZWslXFpKUownI2NKT8zSVH8wRKpf1liyZsT4Lhy0RbcgAT1Lpka5ciiQHHsPnnqeZRXvxNK08sWTB0+S8DhyAQi5EusiLveFU42lGHuWAEnx4tk9VTGeif4xjCW9ULUBkENw2XGQ3A2ECVMmVkJsXZNPq9Cyx7jMGkjolieainOMk7sBWcVbklW8vQnm8QgqzYo9jhj23wsjkKRqWiWWindDfS0pktL+KQ48S2rRQoq/hoDR8mSPMIwlvaDkK20RReQk22I8GQWt5UktVQmkEFsVpv1jimULDpUwTav6+vrYzqUXCYUEKX65WbElPQ7OsyTRoqh4hxIsIdasyE4Ek/NiPBMFxeNh8ySWseSvk5sD+8wpYE+J8WzArnjGc6R66pr9MZ6NvjGMJb2ghOF+CQ0kJ848S3nUU+1ujvFkeo+axlbPEilxEB6yp+I3OQHw1iVOomZ9i58cIYcs7LEus1YIJMnGhCnBNK3szXGUg0erxyPJW51YchiKjIo3KT6MUrUiL496apoS54Y2FhjGkh4QAqo2AbBZDCQ7JU48Syn5hDBhkUK01CfOxaU6nsqsQalqUfuWJY6xVBOW32GJcQsOFaF83raWxMnxCIUEyX75/agVrLHGninPI0fUJpQAqEVplRPr/nsa4ZpW7sQSAI02ujOWFi5cyNChQ3E4HEyZMoXPPvusw7Gvv/46Rx55JLm5uaSlpTF9+nSWLl0aMWbRokVIktTmz+Px9PVb6TquUvC5CWJmmyiIn5wls4UWm9woMpHCFnWuptbKoXjIpaE1x8OUQH3LqsLVu+PkPFuUO/EkX+IIgNa3+MlT1LvtWfHhwbMqxnGeVE91Ank8nB7592mKtWyAiqqWLhmepT1FV8bSkiVLuPzyy7nuuutYt24dBx10EMcccwwlJSXtjv/000858sgjef/99/nuu+847LDDOP7441m3bl3EuLS0NMrKyiL+HI7Yiz5qKCG4MksRfizkxItnCfAlyT9GU2PiGEseJdQVlCyQFLuu4eFIykXc3pI4OR7VjT5ytVYn8WEsORRjIjtUh9ubGB6PKrdXM5bixbMUfhFPFJkGbyBIekDOwbPFiVGqphFkSo3UNBgq3ntC7MV6usEDDzzAeeedx/nnnw/AQw89xNKlS3n88ce566672ox/6KGHIh7feeedvPXWW7zzzjtMnjxZ2y5JEgUF8bFYt4uS3P0bsq5R3OQsAcGUAqj/EVtz4ng8Akqrk2ZbNqlxUDkEYFU6taf4qgiFBCZTfMxrT6htaCRHUkQJ48RYsoYJgFa7vaQ5rDGe0Z5T3Rhf2j+AFh7Kler5LUH6w4W37omXHDySsghKFswigKe+HBgT6xnpFt14lnw+H9999x1HHXVUxPajjjqKL7/8skv7CIVCuN1usrIivQWNjY0MGTKEgQMHctxxx7XxPO2K1+vF5XJF/PUpimzAhqBy1xtHniWTGrZIpKqWRtlY8jnjI0kTWj0eudRR35IYVS0tdbI3MihZwBkfHjz1TlzuW5YYF3G5BUe9/CDW6t0qqWqVlotad2JoWlW5vRQoxpIUL2E4SaLZlg1AMIFSJWKBboyl6upqgsEg+fmR1Un5+fmUl3ctufj++++nqamJU045Rds2ZswYFi1axNtvv81LL72Ew+HggAMOYPPmzR3u56677iI9PV37GzRoUM/eVFdRkrv/55MXmOzk+PEs2ZQ78ZRATcK0PLEooa5QvJRZA+b0Vq2lRBGmDDTI4c5mWzaY4mQpUis8E0jTqq6hgQypSX4QL54lZxZBzAC01CbGRTyyMCROjFLA51CLQxLH+x8L4mSF6jrSLmERIUSbbe3x0ksvcfPNN7NkyRLy8lovgvvvvz9nnHEGe++9NwcddBCvvPIKo0aN4tFHH+1wX9deey0NDQ3a3/bt23v+hnZHWCXcptBAJAkyk+InNODIUqpaaKC+OTHuxB1KJZQpjhY8TZgykVqeKIu3tpjHA2Eq3rUJ0qldzcHzmRxgT4vxbBRMJs3j4W9IjEraGreHPEWfLZ6MJVVby5JAqRKxQDfGUk5ODmazuY0XqbKyso23aVeWLFnCeeedxyuvvMLMmTM7HWsymdh333079SzZ7XbS0tIi/voMVyl4XQiThW2igKwkGxZz/HxsllQ1UbOOmib9G0tCCFKUJE1rRpzchUOEineVK44qNfcAdfEOxoOWlYozE7/St8xTUxrjyfQOmgfPnhsX6t0qXiXMLdyJ4VlqqivDKgUJIUFK/NwAmLSWJ9Uxnom+iZ+r7m6w2WxMmTKF5cuXR2xfvnw5M2bM6PB1L730EmeffTYvvvgixx577G6PI4Rg/fr1FBbGyZ2BktzdklqMH0tc5SsBYYmaDQnh8XC1BMgR9QA4M+Mk7wA0j4dT8tFQVxPjyfQODiXPTYqX0BAoOR45APgTJMdDUj14zjgySoFgUmJ5PAJKi5xmaxaY48f7rxYtJPsTTAA0yuiqGm7BggXMmzePqVOnMn36dJ588klKSkq4+OKLATk8VlpayvPPPw/IhtKZZ57Jww8/zP777695pZxOJ+np6QDccsst7L///owcORKXy8UjjzzC+vXreeyxx2LzJndFkQ2oSx4GxFe+EqAlxObQwLfulhhPZs+pbmrNO7DGQ184FauTFnMqzqAbb90OYO9Yz2iPEEKQ4q8BE9jioVlxGD5nLnh3ItyJER6yKsaIiCcPHoqRXAb2lsTweKgeshZHHrFvdNKKmiqRLepo8gVJsevqsh836OqszZ07l5qaGm699VbKysrYa6+9eP/99xkyZAgAZWVlEZpL//73vwkEAvzlL3/hL3/5i7b9rLPOYtGiRQDU19dz4YUXUl5eTnp6OpMnT+bTTz9lv/32i+p76xDFs1RhLwbiqxIOgORcQkhYpBBNdZVAHye79zHVbi/F8dTqJIwWRx7OJjchl/5VvN3eANlKq5Ok7IExnk0kweQCqP9eMzL0jtMre/DU1hfxglUxkpP9iWEsmZSmwEFnboxnEonaDDxPqqem0WsYSz1Ed2dt/vz5zJ8/v93nVANIZdWqVbvd34MPPsiDDz7YCzPrIxRjabtFNgjjSWMJALOVZks6KYF6fPU7gSmxntEeUdPYwlQa5AfxFB4CfEn50PQrpkb9X8Sr3a3aP9Z4EUpUMKUVQCnYPfpveRIMCdL81WAGW7xo/yg4FY9HVqiWZl+AJJvuLkcRWJXCEBFH+UpAhBxGaaOXIdnJMZ6QPtFNzlK/JKwS7lehClLGmWcJaLHJd1JBl/7DFo21FZglISdpxpF0AIBQVI/tngQwlsKbFafGlwdPDb+m+qp0n+NR1+zT1LuTsuPLWFKFG2WPh/6LQ5w+2UMWbx688FSJandiFIfEAsNYimdcO8HrAsnMpoB84Y6bvnBh+JMUt3MCeDy8Spl1syUDzPF1p6sKgCYngMejxtVENqp6d3xdXJLUlidKjoeeqY5oVhxfHjxJq6Stp0rnxSGhkCAtUAuAIzO+vs+k5GmpEu5a/d/QxooeGUv19fU8/fTTXHvttdTWyl+QtWvXUlqaGKW2cYOi3E32cMqb5Dvc7OT48yyJZPnOxdqsfxXvoEupaLHnxHgmbVE7tacEanTv8Wis3YlJEgQxQVJ8nWu12Wwi9C2rdof334u3i7hsLOVST41L38UhLo+fHEVjyRkvfeFUzFaazXJBk68uMSo8Y0G3jaUffviBUaNGcffdd3PfffdRX18PwBtvvMG1117b2/Pr3yghOHLHUKPcecWjZ8mUJi96Dq/+S9olxTvmj6NWJypJalUL9bpv8upTPHhN1qz4Ue9WUS7i+Qmg4l1XX0uapBgicRbuVItDzJKgsU7fHo/qxtZwpzU9vnIdofXmT70ZNOg+3V6lFixYwNlnn83mzZtxOBza9mOOOYZPP/20VyfX76lUPEt5Y7WYfm4cGktq6XdKAlS1qN4x1VsWT9iUlid56D/HI6DktzXb46tyCNAS+xOhU3tLreztbzElgT01xrPZBbOFJksmAJ5afUclatweciWlMCTOqmghrM+l0fKkx3TbWPr222+56KKL2mwvKirqco82gy4y6mjY70I8A2fQ4pdzJ+JOOoDWqpZMUY/Hr+8cD6dXNvhMcXh3GC4AWqPzRE2z0qw4Hj14soq3LCrYVLMjxpPZMwKKsGaTNb5CnSqqAKjem7w2NNTilJQbmDg0ltQ+l2rfS4Pu021jyeFw4HK52mzftGkTublxeJeoZ8YeB7PvpTJL1nxyWE0k2cwxnlRbnJmqx0P/LU9U75gtzpJhAW0RTpK81NXXxXgye4aW3xaHFxYkCbdiXKgJ/7pFCbt4HPG5NvtUTaImfXs8mmvl70mLKRlsSTGeTVtMqWqqhP69/7Gi28bSCSecwK233orf7wfkxrYlJSVcc801/PGPf+z1CRrIqtIgq3d3pWlwtJGUxNFcqUHLrdIjHn+QLBGfZdYA2JJpkeSFuKVO32ELp1dpVhyPRinQooQHQzqXw1CFEgNJcejBA0JKfpi1Sd8eD5/S6qTRmhXjmbSPlirhM4ylntJtY+m+++6jqqqKvLw8WlpaOOSQQxgxYgSpqanccccdfTHHfo+an5KTGn/5SoDWNDJF8lBXVxvjyfSc6kav1jVcDS3GG03KYuyr1/dFPDUgFwPY46mlTBiqcWFq1Pd5tqrNU+PRg0e4x0PfchiqUe2Jxxw8wKnc/GWEavEHQzGejT7ptpBMWloan3/+OStXrmTt2rWEQiH22WcfZs6c2RfzMwDNW5MTh7IBANhT8UgOHMJDU20ZMCzWM+oRNW4vY5Qy67hq7hpGiz0HfDsI6biqpdmntDqRIDknvlqdqIiUAqgAu85zPJIVT4IlHnPwAJsih5Gq8+IQrdVJUnwaS8mKnEEuDdQ1+chLc+zmFQa70mPVvcMPP5zDDz+8N+di0AFqHlA8JnerNFqycfhLtZJwPVJfV4VdksPLavl4vBFIygM3SDoOW1S7fZpQoiMzPj1LmgCoT98ej9RALUjxe55VOYzMUB3+YAirOc5kJLqIzaNU0catB6+15clWt8cwlnpAl4ylRx55pMs7vPTSS3s8GYP2qXLHr8aSSos9B/ylum550lKjaP+YUki2xudiIlLyoaK1D1VnhEIhfL74S7ivqmtgTEoaHikV7Nngib/KPlPWUDwpg0jFgicO59cVWnwBMpIdeEyDsGQOjJv3YbPZMCnaWslKE+VcpeVJQXp8/u52h1PRmDOnxedNliqHkSR5qa+vhaKM2M5Hh3TJWNq10WxVVRXNzc1kZGQAsqJ3UlISeXl5hrHUB6iepbhrohuG35kLjSDpuKrFWy8bS43WbOK11aRZuUNM2k1Vi8/nY+vWrYRC8ZefYPL5KDnwPgQSUmUjVDXFekptCKWPxX3A/aRg4bfffovLwordEQiFkA66iq2EIJQDW7fGekoAmEwmhg4dKhtNaa0q3pvdHt0aS605eHGmkq6iFIc4RTNNNaXoNVUilnTJWNoa9iN78cUXWbhwIc888wyjR48GZNmACy64oF39JYM9R8tZiuMwXCglH6r03fJETdJsidMkTQCbkhCd4u84kV4IQVlZGWazmUGDBml38fGC2+0mtSVIADOWvPhctIWvBake/MKMyC7GZomvc9gVWnx+nPVKdWr28LjodRgKhdi5cydlZWUMHjwYSQlb2aUA9bUVMDAjthPsAb5AiMxQHZggOR6raBVc1mycvmaj5UkP6fav54YbbuC///2vZigBjB49mgcffJA5c+Zw+umn9+oEDVqr4bKT49ez1FrVot+WJ6pXLF7LrAGSstUcj1oCwRCWdnI8AoEAzc3NDBgwgKSk+NN88TQ34rBI+CQrNkecehKsZmiUsIsQHpsVh80a6xl1G38whMMiIQApKRnixDuWm5vLzp07CQQCWK123KZUUkNummt2AqN3+/p4o7bJR55SGJIUp1W0AC22HPBtJ+DWb6pELOn27VJZWZmmsRROMBikokK/IZh4plrrCxe/nqVEaHlia4nvJE2AFOXONUeqp6657e8Q5N8iyLkhcUlInnfIFHtPR4eYLLKRIUEw0P55jndEUJ53EEvcGErQ+r1Uv6eqAKivXp/FIdWuRrIluS2OWhgQj/gVAVDJaHnSI7ptLB1xxBFccMEFrFmzRut8vmbNGi666CJDPqAPCIYEtc3xn7OkijimB+sIhUSMZ9Mz1FYncZukSevcsnFT4+481ydu82yUizimOPbWSBJBZLX8kE6NJXXeQSm+jNJdv5ceTQBUn8aSWykMCWAGZ3yKUkLrTaBV53IYsaLbxtKzzz5LUVER++23Hw6HA7vdzrRp0ygsLOTpp5/uizn2a+qafQgh3xhmJsXvxSVVMZZypTpcHn1eXNIUr5g9TsusAUjKJogJkyRwV+sz90ASAfk/8WwsASHFyFA9NLpD8eCJePbgAX5NAFSfF/EWpdWJy5wJcZYfGI6aTO/06FsOI1Z0+5PNzc3l/fffZ+PGjbz66qu88sorbNiwgffff5+8vPjN9dArar5SZpKt3fyUeMGqhOGycVPtao7xbLpPMCTkJE3itNWJismMy5QBQFOtPu/ETSHFWDL3rrG0bds2JEli/fr1XX7NokWLtKreXVHDhN01lnoyj3AOPfRQLr/88h69NhxJOc9dNZbOPvtsTjzxxD0+bnfRu8fDH+etTlTUfpcpfv3mlcaSHt9yjBo1ilGjRvXmXAzaQctXilf1bhXF42GWQriqd0JBRqxn1C3qmn3kKkmaqdnxqSqt0mjNJtNbq9scDzPyRdxkaWssbd++nZtvvpkPPviA6upqCgsLOfHEE7nxxhvJzs7udL+DBg2irKyMnJycLs9l7ty5zJ49u93nhCTPTzU6osXrr7+O1brnhqQU0kG4k9bQslOnTV6D7vhudaKSlKOkSoRqEULEb5g+Tum2sXTuued2+vyzzz7b48kYtKVakw2I33wlAExmGkwZZIVqlQ7c42I9o25RU1fHaKkFiN/WECot9hzwbibk0l+iphACswiCBKZdPEu//fYb06dPZ9SoUbz00ksMHTqUn376if/7v//jgw8+4KuvviIrq/27d5/Ph81mo6Cge5+d0+nE6XS2/6TZAoEwoyNKdPQeu4tJCXdKvezB623U/oBpAX16PEyNclgrEKetTlRSlUraXOpxewOkOeL7exFvdDuuU1dXF/FXWVnJypUref3116mvr++DKfZvNNmAOK6EU2m0qE1e9efxcFeVAuDBBva0GM+mc7SqFh22PAmEBFbkKiizJfI7/Ze//AWbzcayZcs45JBDGDx4MMcccwwrVqygtLSU6667ThtbXFzM7bffztlnn016ejoXXHBBu+Gvt99+m5EjR+J0OjnssMP4f//v/yFJkrZW7RqGu/nmm5k0aRIvvPACYybPIH3MwZx70d9wu93amA8//JADDzyQjIwMsrOzOe644/j111+7dR4WLlzIyJEjcTgc5OfnM2fOHO25XcNwZWVlHHvssTidToYOHcqLL75IcXExDz30kDZGkiSefvppTjrpJJKSkhg5ciQfLF0uP2e2EgwGOe+88xg6dChOp5PRo0fz8MMPd2vOfUWS1uRVn8UhahUtyfFbRQtgz5TPc6bUSHW9K8az0R/d9iy98cYbbbaFQiHmz5/PsGHxKTCnZ2qadOJZQhFz9G0hoEOPR0udbCw1mLNxxLl7Wmt50kUBUCEELf5gH8+qfZxWc4S7PxgIYJXkC6IUJpJYW1vL0qVLueOOO9p4egoKCjj99NNZsmQJCxcu1PZ37733csMNN3D99de3e+xt27YxZ84cLrvsMs4//3zWrVvH3//+993O+ddff+XNN9/kjVdfomnnJv508TX885//5I477gCgqamJBQsWMGHCBJqamrjxxhs56aSTWL9+fZcEQNesWcOll17KCy+8wIwZM6itreWzzz7rcPyZZ55JdXU1q1atwmq1smDBAior2372t9xyC/fccw/33nsvjzzyCOf+9SqO+Po9UjOthEIhBg4cyCuvvEJOTg5ffvklF154IYWFhZxyyim7nXNfkparNnmVi0MykuL/xjAcp9Ks2BTHVbQAODPxYcFGAHd1KRR0HtY2iKRXyiRMJhNXXHEFhx56KFdddVVv7NJAodqtClLG/wLid+bKTV4b9Sd6pqraNtqyie/7w9YcD4evazkeLf4g425c2pdT6pCfb51Fkq11mVE1i4KYMJvM2vbNmzcjhGDs2LHt7mfs2LHU1dVRVVWlFZIcfvjhEcbPtm3bIl7zxBNPMHr0aO69915AFs/98ccfNaOnI0KhEIsWLcJhAeugZE4/+Tg++ugj7XV//OMfI8Y/88wz5OXl8fPPP7PXXnt1um+AkpISkpOTOe6440hNTWXIkCFMnjy53bEbN25kxYoVfPvtt0ydOhWAp59+mpEjR7YZe/bZZ3PqqacCcNvtd/Cvf/2Lb9b/yFGjpmOyWrnlllu0sUOHDuXLL7/klVdeibmxpCYeJ0tefq2rIyMp3n+BkaQqCdP2zPjVWAJAkmgwZZEbqqSpZicwMdYz0hW9Vl7166+/EghENxGyP6B6luK5ia6KVtXSrL/SVKGTJE0AW4ZsLHXW8iReEUHZ+Fc1jLr8OkXTLdxLpRoPHbFp0yb23XffiG377bffbo9VXFxMamoqZiUBfUB+doQn59dff+W0005j2LBhpKWlMXToUEA2grrCkUceyZAhQxg2bBjz5s1j8eLFNDe3X0G6adMmLBYL++yzj7ZtxIgRZGZmthk7cWLrxc/hsJOakkxldZ2WG/bEE08wdepUcnNzSUlJ4amnnurynPsUewotyEru7qodMZ5M9xBCkK5W0WbFcRWtglqx56vXp+xILOm2Z2nBggURj9U+VO+99x5nnXVWr03MQKa6URWkjH/PkuqGduiwqsWktDoJJse//IW6KGcEu2YsOa1mfr51Vl9OqdNjh6OW4Yd2EUocMWIEkiTx888/t1u+vnHjRjIzMyMq3ZKTO2933F7Fj2p0dYZaiaYaGWYJgmENiY8//ngGDRrEU089xYABAwiFQuy11174fL7d7hsgNTWVtWvXsmrVKpYtW8aNN97IzTffzLfffttGxqCj+ba3PbyCLhjwI0lyjhgmE6+88gpXXHEF999/P9OnTyc1NZV7772Xr7/+uktz7mvqzZk4g2W01O0EpsR6Ol2m0eMnj3oA0nPju4oWlFQJ70ZCLsNY6i7dNpbWrVsX8dhkMpGbm8v999+/20o5g+6jJ8+SVakiS9VhyxObR56zSI7zvAMgVSkBzqGeFm8Ap73zn7EkSRGhsFgigrL3eddWJ9nZ2Rx55JEsXLiQK664IiJvqby8nMWLF3PmmWd2q9x5zJgxvP/++xHb1qxZ0/XJmswEVee7YpzU1NSwYcMG/v3vf3PQQQcB8Pnnn3d9nwoWi4WZM2cyc+ZMbrrpJjIyMli5ciUnn3xym/cQCARYt24dU6bIRsSWLVt2W0wTCsiGW0iZ/2effcaMGTOYP3++Nqa7Sel9SaM1G4Jl+Br0FcKvq61msCTfADjiPQyHkirhAqlRf3mlsabbK+jHH3/cF/Mw6IAaHXmWVI+H6pbWE0mKNyzeZQMAkpVmnUmSl9K6GooK9JPj0Zn2z7/+9S9mzJjBrFmzuP322yOkA4qKinaba7QrF110EQ888ABXX3015513HuvXr2fRokXyPLpodLWGC2VjKTMzk+zsbJ588kkKCwspKSnhmmuu6da83n33XX777TcOPvhgMjMzef/99wmFQhHNyVXGjBnDzJkzufDCC3n88cexWq1ceeWVOJ3OTt+D6sETkjz/ESNG8Pzzz7N06VKGDh3KCy+8wLfffquFEGONx54DHhA683i4q+WwoZskUq0dSFDEEVpxiE4FQGNJt3OWDj/88HbvalwuF4cffnhvzMlAodkXoNknVzHpwbOkVrXkiDp8Maq+6impAZ0kaQKSPYUm5IXZVV0a49l0D03gsR1V6ZEjR7JmzRqGDx/O3LlzGT58OBdeeCGHHXYYq1ev7rb+0NChQ/nvf//L66+/zsSJE3n88cc1+QG7vWu/Jy1cqES9TCYTL7/8Mt999x177bUXV1xxhZZA3lUyMjJ4/fXXOfzwwxk7dixPPPEEL730EuPHj293/PPPP09+fj4HH3wwJ510EhdccAGpqak4HI6OD6J68CR5ib/44os5+eSTmTt3LtOmTaOmpibCyxRrAk45/C3prOVJs6Ki32DWR2WZ2ujX6dWnplUskURXgvhhmEwmysvL27Q2qayspKioCL9fp32U9gCXy0V6ejoNDQ2kpfWeRs/22mYOuudjHFYTG249Ou4VV0PeJkx3yV6PivmbyddR+5vqmwaTIzVQ9uflFI7ZfRJwrCm9dSxFoZ2sPXwx+xx8XMRzHo+HrVu3MnTo0M4vqDGguWwTSaKZ5qQikjKi//244447eOKJJ9i+fXuXxjeXbyEp5MZtz9dE/WLNjh07GDRoECtWrOCII45od4y78ndSA7U0WbNIzh0S5Rl2Tnvfz7X/uZ59tjzKl2lHM2PBkhjPsOt88cYTHPD91Wx07M2Yaz6N9XR2y8ZPXmHMxxewyTSc0TeujfV04oKuXr+7HIb74YcftP///PPPlJe3xpaDwSAffvghRUXxXw2gJ1pbndjj3lACMNmTaSSJFJppqNquG2Op2eMhC1mkLS0v/pM0AdzWbPDuxKszAVBVVbq9Vid9wcKFC9l3333Jzs7miy++4N577+Wvf/1rl18vTBYIATFsprty5UoaGxuZMGECZWVlXHXVVRQXF3PwwQd3+JrOPHjxiDlNDiXrreWJmiithypagGRNAFR/lbSxpsthuEmTJjF58mQkSeLwww9n0qRJ2t+UKVO4/fbbufHGG/tyroC8+Kl3JFOmTOlUzA3gk08+YcqUKTgcDoYNG8YTTzzRZsxrr73GuHHjsNvtjBs3rl3hzVigp3wllTqTHCpprtHPRbyucicmSRAUEknp+jDwPHa5KiyoMwFQi5DDsyZzdL7Tmzdv5oQTTmDcuHHcdtttXHnlldx8881d34E5Nv3hwvH7/fzjH/9g/PjxnHTSSeTm5moClR2hl1YnKrYMfTZ5NTXpo9WJSppSsZctGvD5Damf7tDl246tW7cihGDYsGF888035Oa2fjlsNht5eXmYzd3TTukuS5Ys4fLLL2fhwoUccMAB/Pvf/+aYY47h559/ZvDgwe3Oefbs2VxwwQX85z//4YsvvmD+/Pnk5uZqwnKrV69m7ty53HbbbZx00km88cYbnHLKKXz++edMmzatT9/P7tA8SzrIV1JptGaBd4euPB5uJe+nTsogx6yPO3E9VrWEQiHMaquTXmgU2xUefPBBHnzwwZ7vQDE2VOMjFsyaNYtZs7on/aA3Y0ktWsjUmcdDTZQWOpAcAUjNKiQkJCxSiMrqMvIKB8V6Srqhy1eGIUPkuHcoTG8k2jzwwAOcd955nH/++QA89NBDLF26lMcff5y77rqrzfgnnniCwYMHaz2Uxo4dy5o1a7jvvvs0Y+mhhx7iyCOP5NprrwXg2muv5ZNPPuGhhx7ipZdeis4b64CaJv15luQmrxBy6acEuKVWbXWSRdf71ceWkNKHytqiHwHQQMCPTZKr8HdtohuvmBTj2RxDY6knWBSj1GTRx9qRqng8MoULv9/fqdcsnlDDhmridLxjstqolVLJwkVDValujKWyhhaEkNt+2Sy9pqXdLbpkLL399tscc8wxWK1W3n777U7H/uEPf+iVie2Kz+fju+++a1Ome9RRR/Hll1+2+5rVq1dz1FFHRWybNWsWzzzzjPaDXL16NVdccUWbMeFNKnfF6/Xi9Xq1xy5X3zQl1KNnye/Qn8fDr2i7NNr0UdECrTkeehIAVbV/ApIZqw5y8AAkJVyoesT0QCgU0owlc5Ryw/aU9OxCgkLCLAnqqsvIKWwbKYhH9FRFq9JgziIr6NJuEvXAne9v5J3vd3LDceM478DYyF10yVg68cQTtQq49tR1VSRJIhjsm0WlurqaYDBIfn6kpkx+fn5Esnk45eXl7Y4PBAJUV1dTWFjY4ZiO9glw1113RfRZ6isCQYHNbNJFXziVUEo+VIKlRUcXcbds2HntevErgVXL8dDRedb6wlnQxyW81dgwiyBChJCk2NzVdodgwI8JCAn9GEsmi4VqKZ0c6nFV7dCNsZShtjqJk0rJruC2ZkNwm65anlS71YbysbsWdumXHwqFNKmAUCjU4V9fGUrhtNe+oLNKsY7aHYRv7+4+r732WhoaGrS/rpYhd5fbTtyLTbcfzdkzivtk/32BSfN46Cc8pLY6CSTpI+8AWnM8MoL6EQDtqNVJPGO2WBECJKm1CXC8E1Q8eEHJrIsqWpV6s1IcUquPfMeg30sGbgDSsvVRRQvgsanFIfpJldA6WSTHLsqim1UrJycHs9ncxuNTWVnZxjOkUlBQ0O54i8VCdnZ2p2M62ifIgnZdFbXbUyRJwmLWz4Knx6oWm0cx7FL0o4SttjzJEC5E0K+PRF7VWNJJOTvIunJ+yYyVIMGAH4s1/kPiQocePIAmSxYEf9ONx6OhqpQswCfMZGTr50bLn5QHrtabRD2gVYanxs6z1KVV65FHHunyDi+99NIeT6YzbDYbU6ZMYfny5Zx00kna9uXLl3PCCSe0+5rp06fzzjvvRGxbtmwZU6dO1RIIp0+fzvLlyyPylpYtW8aMGTP64F0kPt1t8hoPqK1OzOn6MZYycgoICBMWKYSruoy0fB2ELZTye6EjYwlUoyOo5VzFOyHFKA3qyIMHapNXCLr14fFwV+0gC6iVMiiw6OdcixR9FYcEQ4LaZvm3F/eepa6W3kqS1GfGEsCCBQuYN28eU6dOZfr06Tz55JOUlJRw8cUXA3J4rLS0lOeffx6QJf7/9a9/sWDBAi644AJWr17NM888E1Hldtlll3HwwQdz9913c8IJJ/DWW2+xYsWKHjXHNGhteZKBGxHwIlni/048JSAbdo4M/Yiq2m02KqV08qijoaZUF8ZSZ33h4pmgZAbRGkZUkSSJN954o9M8zj1l0aJFXH755bttnBuB2hfOZInKHNujuLiYyy+/nMsvv7zLr/EnKcUhTfpoeaKGC+tNWcR/R8lW9CYAWtvk00LhmUmxWzu6ZCxt3bq1r+fRJebOnUtNTQ233norZWVl7LXXXrz//vuarEFZWRklJSXa+KFDh/L+++9zxRVX8NhjjzFgwAAeeeQRTTYAYMaMGbz88stcf/313HDDDQwfPpwlS5bEXGNJr2Rm5+MTZmxSEHdNGWn5xbGeUucIQZai7aKnJE2AelMmeaE6mmv0UdXSFe2f8vJy7rjjDt577z1KS0vJy8tj0qRJXH755R229uhrhGRp11iKW1QPnmShrKyMzMzMGE+oiyhaRbZmfRhLPrWK1tq9noWxxq6zVAk1XykzyYbFHLsCiz3yHbaXLN3XzJ8/v8MGkGpH8XAOOeQQ1q7tvAfOnDlzmDNnTm9Mr9/jsFkpJ4MCanBXbY97YynkceFAdvGm5+rHswTgtmSD7zd8dfrI8TDvxljatm0bBxxwABkZGdxzzz1MnDgRv9/P0qVL+ctf/sLGjRujOV0NYbJCCKSgPrSWNA+e2UpBnn58HqY0ea56kcMIqq1OHPpQ71ZxqsUhOhEAjZdOFj0y05555hn22msvHA4HDoeDvfbai6effrq352agU+q0qpb493i4FPVut3CSmaGTO3CFFrtcpKCLHA8hNK2ijvrCzZ8/H0mS+Oabb5gzZw6jRo1i/PjxLFiwgK+++kobV1JSwgknnEBKSgppaWmccsopVFS0JqvefPPNTJo0iRdeeIHi4mLS09P585//jNstVy79+9//pqioqI3A7h/+8AfOOuss7fHjjz/O8OHDyR44gtEHncSLr/y3w7c3ffr0NhpwVVVVWK1WPv74Y0DWirvqqqsoKioiOTmZadOmsWrVqojXLFq0iMGDB5OUlMRJJ51ETU3nd/8+n4+//vWvFBYW4nA4KC4u5v5HFspPmq1IksSbb76pjf/yyy+ZNGkSDoeDqVOn8uabbyJJEuvXrwdg1apVSJLERx99xNSpU0lKSmLGjBls2rRJ28evv/7KCSecQH5+PikpKey7776sWLGi03l2BVuGrFWkhsXjHZMSLgw49ZPcDa0tT5LxILzuGM9m94T3SI0l3TaWbrjhBi677DKOP/54Xn31VV599VWOP/54rrjiCq6//vq+mKOBznBb5Yu4HjwejdU7AKiRMrDG0MXbE/zqIr07AVAhwNcUmz/F+yxEEBPy/9vT/qmtreXDDz/kL3/5C8nJyW2ez8jIUPYjOPHEE6mtreWTTz5h+fLl/Prrr8ydOzdi/K+//sqbb77Ju+++y7vvvssnn3zCP//5TwD+9Kc/UV1drRkxAHV1dSxdupTTTz8dgDfeeIPLLruMK6+8kq+++JSLzvgjF19+TcRrwjn99NN56aWXNG87yO2Z8vPzOeSQQwA455xz+OKLL3j55Zf54Ycf+NOf/sTRRx/N5s2bAfj6668599xzmT9/PuvXr+ewww7j9ttv7/SjfeSRR3j77bd55ZVX2LRpE//5z38oHih7aHZVSXe73Rx//PFMmDCBtWvXctttt3H11Ve3u9/rrruO+++/nzVr1mCxWDj33HO15xobG5k9ezYrVqxg3bp1zJo1i+OPPz4iBaInJGXrqzhEb61OVLIzs2gWsuHRqAOZhmrFs5QdY89St8Nwjz/+OE899RSnnnqqtu0Pf/gDEydO5G9/+9tuf9wGiU+LTW55EnDFv7GkNvxtMOsr7wBaF2lr826qWvzNcGeM8rH+sRNsyYQCfsxAUJiwtNN/b8uWLQghGDNmTKe7W7FiBT/88ANbt25l0CC5VcMLL7zA+PHj+fbbb9l3330BWQ9u0aJFpKamAjBv3jw++ugj7rjjDrKysjj66KN58cUXtTyoV199laysLO3xfffdx9lnn838+fNpdNWzT9EZfLn2R+677z4OO+ywNvOaO3cuV1xxBZ9//jkHHXQQAC+++CKnnXYaJpOJX3/9lZdeeokdO3YwYID8Wfz973/nww8/5LnnnuPOO+/k4YcfZtasWZqHatSoUXz55Zd8+OGHHZ6PkpISRo4cyYEHHogkSQwZPJgZw1IA0caDt3jxYiRJ4qmnnsLhcDBu3DhKS0u54IIL2uz3jjvu0Iy8a665hmOPPRaPx4PD4WDvvfdm77331sbefvvtvPHGG7z99tv89a9/7fTz6wxVqygJD3gbwZ7S431FA6dWRaufUCeAw2ahhAwGU4G7qpTUwtGxnlKn1DSqgpQ68ywFg0GmTp3aZvuUKVMIBPQR0zfoW/yKuKNJB1UtfsWga7TqR71bxZSq5njEfwmwKugYwIzJ1DbHsav5jxs2bGDQoEGaoQQwbtw4MjIy2LBhg7atuLhYM5QACgsLqaxs/T6efvrpvPbaa1rbosWLF/PnP/9Zawa+YcMGDjjgAKA1bHjgvntHHCOc3NxcjjzySBYvXgzIRTGrV6/WPFVr165FCMGoUaNISUnR/j755BN+/fVX7ZjTp0+P2O+uj3fl7LPPZv369YwePZpLL72UpUs/DPPgRd6Jb9q0iYkTJ+JwOLRt++23X7v7nThxovb/wkI5PKaev6amJq666irtvKekpLBx48Y99ixlZWXSpHg8WuriP4SvJkhb0/VVGAKtAqB6aHkSLzlL3fYsnXHGGTz++OM88MADEduffPJJbWEw6N+0ejzi31gKuZRWJw799IVTsSr9qJL9uwlbWJNkD08ssCYBrX3hgpK53WEjR45EkiQ2bNjQaZl7R+r6u27ftRGrJEkROUrHH388oVCI9957j3333ZfPPvuszZqm7k8zOkSoU2Pu9NNP57LLLuPRRx/lxRdfZPz48ZoHJhQKYTab+e677zSDTCUlJUV7D91ln332YevWrXzwwQesWLGCuX8+lZkHTGXJk/e3OU57566jY4afP/U16vn7v//7P5YuXcp9993HiBEjcDqdzJkzB59vz3SokmxmfieTZMpxVZXiLIhjj4cQWquT5Bz9GUuN1mzwgrc+/vMdNfXuGHuWelQN98wzz7Bs2TL2339/AL766iu2b9/OmWeeyYIFC7Rxuy4+Bv0Ds9KBWw9VLVqrE50laQI4M+VFOj1YiyZE0h6SBLa2eUDRROxGKDErK4tZs2bx2GOPcemll7bJW6qvrycjI4Nx48ZRUlLC9u3bNe/Szz//TENDA2PHju3yfJxOJyeffDKLFy9my5YtjBo1iilTpmjPjx07ls8//5wzzzwTs9lMUEh8ueYHxozp+AJ+4oknctFFF/Hhhx/y4osvMm/ePO25yZMnEwwGqays1MJ0uzJu3LiIRHagzeP2SEtLY+7cucydO5cTjzuG4078I5V1jRTscg0fM2YMixcvxuv1ah0I1qxZs9v978pnn33G2WefrYkDNzY2sm3btm7vZ1ckSaLBlAmiPP5bnrTUYUOOpKTl6KuKFsBjl1MlQjpIldBylmLcI7XbxtKPP/7IPvvsA6C5j3Nzc8nNzeXHH3/UxumpJ5FB76K2PEnVgY6HVWn4K3TU6kRFXaSdeMHrBkdajGfUCcFW7Z+OWLhwITNmzGC//fbj1ltvZeLEiQQCAZYvX87jjz/Ohg0bmDlzJhMnTuT000/noYceIhAIMH/+fA455JB20wM64/TTT+f444/np59+4owzzoh47v/+7/845ZRT2GeffTj88MN5c/FiXv9gJR++91aH+0tOTuaEE07ghhtuYMOGDZx22mnac6NGjeL000/nzDPP5P7772fy5MlUV1ezcuVKJkyYwOzZs7n00kuZMWMG99xzDyeeeCLLli3rNF8JZMHgwsJCJk2ahMlk4r+vv05BXg4pGRlt1uDTTjuN6667jgsvvJBrrrmGkpIS7rvvPqB76/WIESN4/fXXOf7445EkiRtuuKFNZWFPabRmgS/+i0NaaktxAnUihZyMOP7ddYCeBEC1aji9eZY6qgYxMFBRxR3TQ3UQCoEpfqvMknxyvo85TV9JmgBZmZm4hZNUqQV/QxnWeDaWQqqqdMeClEOHDmXt2rXccccdXHnllZSVlZGbm8uUKVN4/PHHAbRS+L/97W8cfPDBmEwmjj76aB599NFuT+nwww8nKyuLTZs2RRg2IHuJHn74Ye69914uvfRSigcV8dwDN3HQjP073efpp5/Osccey8EHH8zgwZGq6s899xy33347V155JaWlpWRnZzN9+nRmz54NwP7778/TTz/NTTfdxM0338zMmTO5/vrrue222zo8XkpKCnfffTebN2/GbDYzZfJE3n/hETC3vQtPS0vjnXfe4ZJLLmHSpElMmDCBG2+8kdNOOy0ij2l3PPjgg5x77rnMmDGDnJwcrr76alwuV5df3xkt9lzwxb8chrt6B06gigxG2toPLcczIlle72y7Kw6JA9ScpdwYG0uS6Emg3CACl8tFeno6DQ0NpKXF8QUrSmwpq2XEv4fKD/7vV0iO3+TphlsGky4a+HzmWxx44KGxnk63CIUE224eyzBTGbV/ep2s8XIll8fjYevWrQwdOrRbF8G+xFP+C45QEw32QtKz9WeYuss2kyoa8SQV4siI3/m31GzH6a2mwZRBesHQ3Y5fvHgx55xzDg0NDTidzijMsPPv5wcL/84xlU+xIf94xl7yn6jMpyds++hpij+7km9Ne7PvjZ/GejrdZtlbL3DUur+ywzacgf/oXLQ5ljT7Aoy7cSkAP90yi2R77/fg6+r1u9tH9ng8PProo3z88cdUVla2cb/uTi3bIPHJSU+hRqSSLbnx1+/EGq/GUtBPumgAIClLf0maJpNEnSkLKKOpRu6AHq+orU7opNVJPBPSS8uTYOcevOeff55hw4ZRVFTE999/z9VXX80pp5wSNUNpd4RS8qEy/pu8+uvVKlr9FYZAa6pEvAuAql4lh9VEUow9eN02ls4991yWL1/OnDlz2G+//YzcJIM2pDms/CIyyJbcuKp3kF00cfcvigVN8oIcECbSc+LXW9AZbms2+MFXF98JsaqxtKtQol4QJovS8iS+jSVJ6QuHqf2lvby8nBtvvJHy8nIKCwv505/+xB133BHFGXaOOVXOHYz34pCQEib02PXV6kQlWUmVSAvVy/mE7WifxQNVYerdsbY1un2G3nvvPd5//31Ng8TAYFdMJknW8RDbaYnjqhZf/U5sQDXp5KTEx511d2mx54Afgq44zvEQod22Ool7VE+NiG8tud01K77qqqu46qqrojmlbqG1PInz4hCtijZJf1W0AOnZhQSFhFkS0FwNqfF5s6hpLKXGNl8JeiBKWVRUFCH2ZmDQHm5F5DGePR5upS9clcggzRmfd1a7w6dIHkiNcWwshQJIyOoGZp16ltQ7b1NI38ZSvOPMkis8U0MNEArGeDYdY1NbneiwihYgO9VJDekABBrit/JQU++OsWwA9MBYuv/++7n66qv5/fff+2I+BgmCxy4bS0H3bvqWxRDV69Vgzoq5i7eniBT5jrA9AdB4qd1Q83wCmDHrrP+eiqRUl5ni2bMkQlg0D17sLy4d0dn3Mi27QPZ4ENLC5PFIa6uTwhjPpGdkJNmoFBkANNbEr4p3TVN89IWDHhhLU6dOxePxMGzYMFJTU8nKyor4MzCAVve0aXdNXmOIT7mjarTpM0kTwKRIHjjDWp6oys17qqjcW6itTvyYsbTT6kQPqLlWZoJac+C4Q9GyCgkwW+LXU6p+L3dVGAfISUvSPB6hOA4tpwXkMKE9U5/Gktkk0WDOBIhrAdAqd3xoLEEPcpZOPfVUSktLufPOO8nPz9ftHblB3yJS8qCi1V0dj4QUr5dXp0ma0H6Oh8ViISkpiaqqKqxWK6YY61z5mpuxBQQtmDApvdj0RiAYpMUvZJH05sa4rOoTvmakgMAnLEh+H544DBmGQiGqqqpISkrC0o5Bl5lkY7NIJ0+qp6l2J6lFk6I/yd3hdeMQHgBSlOa/esRtkfMdffVxHIZrig/1buiBsfTll1+yevXqiK7TBga7YlJanjjjuKrF3Ki2OtGvsZScIy/WyaIJ/C1gdSJJEoWFhWzdujUuwuWB5nosPhctkhNnU6xn0zMCoRCSq0YOD7nM7Yo+xpqQrxlTczU+rFibLHF7I2symRg8eHC787NZTNSZMoHfaa4tJS6zY5WbrEbhIDNTv9EUj12upI1nD56as5QbBwne3TaWxowZQ0tLS1/MxSCBsGeqOh7xW9Vi9ei31YlKRkYOHmHFIfnBXQ5ZshChzWZj5MiRcRGK2/7GzQwqfZflScdy5Lm3xHo6PaLFF2D7EwsYYSqlZdb9OIceEusptaFq9X/I/e4hvmIC+//1uVhPp0NsNlun3k63JRsC4I1Tj0fAVYYFqBQZ5MRBLk1P8SflQSNIcZwqUaP1hdOhsfTPf/6TK6+8kjvuuIMJEya06e5tKFgbACQrIo8O4ZH7ltnj7x5RzfMxp8dn2WxXyEmzUykyGCxVEXKVY8pqVW02mUxxoeBtqduMo3E7LU5bXMynJzgc8EOTF4e0ncba3+PyfYiarTgat+OyTojL+XUVjz0HAhBqiE+PR1P1DtKRW50MSdKvsSRS8uJeALS1L1zsz3O3jaWjjz4agCOOOCJiuxACSZIIBuO33NMgemRmZNEoHKRIHtltHW/GkhCkKuq1at6PHslOtvM9mQymiubaHaQUx3pGbdHy1lL0qUmj4rJkQxC8cSqHIdyyJ6bFEaeK+V3E58yFJiBOm7y21O4kHWgwZ2PWacECgFlLlYhPYykYEtQ2x081XK820l23bt0eTcYgcchJlUtTU6RyhLsMKWdErKcUiacBm5B/iCmKtosekXM85LyJltpSUmI8n/ZQ1ZhNcSp811Wa7XnQDEFXfIaH1HCKXoUSVUIpeVANljj1ePgVj5eeq2ghrDgkUCtXeMZZjltds0+bVlYcePC6bSwdckhkrL6hoYHFixfz9NNP8/3333P55Zf31twMdExWso31ZDCMcpprd5K8+56e0aVRvmt1iSQyM/QdOm7UWp7E4UVcCK1ST+1HpVf8SbKxFK8CoHZNKFG/nlIAs6Id5vTEp7EklFYnXoe+jdIk5SbRLrzgdYEjPcYzikTNV8pMsmGJA322Hs9g5cqVnHHGGRQWFvLoo48ye/Zs1qxZ05tzM9AxdouZWsXjEY86HmrIokqkx4WGx57gccjVfGq/qrjC65IXY8CZrW9jKZTcsQBoPOD0yR48q47DytDq8UiO05Ynem91opKZkY5LKG2eGuPvO63lKyXb4NP7YPEp8MvSmM2nW56lHTt2sGjRIp599lmampo45ZRT8Pv9vPbaa4wbN66v5migU5oVj4e/Pv6MpZb6MpKASpHJ5DjQ8NgTAkl54G5dxOMKxYBrEElkZcTXnWt3UQsB4jLHIxggJVAHtFai6hXVqJaLQxrBHl/BZbvi8ZJS9VtFC5CTbJdbPUktSqrEyFhPKYKI5O5tn8Fvq2Ds8TGbT5c9S7Nnz2bcuHH8/PPPPProo+zcuZNHH320L+dmoHNalJYnoThsedJSIxtwdaYMHNa2SsK6Qglb2OIxx0Px4FWITLLioPx3T7Cpchj+mvjrW9ZUiQmBX5hJzdJ3blhGeiaNQqnmi8Oy9iSfvludqOSk2qgiAwBvffx5pbUmuil2qNwob8wdE7P5dNlYWrZsGeeffz633HILxx57bLtS9QYG4QSS5DuvePR4+NVWJ1Z9J2lC66Idjx4Pb53cd6pCZOpakwYgJWsAIbVvWXOchYgUD1416eSkOmM8mT0jO8VOlVC8kPFmLAW8JAddADh17sFLslmoVYylljjsD1fTJHuWBjq8oOYJ5o6O2Xy6bCx99tlnuN1upk6dyrRp0/jXv/5FVVX8Lc4G8YNQ3NTx2PIk6JIXYbXhr57RBECDDRCIvQhlOM3KIlwjZZFij99+ZV0hJz2ZGpRiAHd8JdOrSccVIoOcOFA73hNyUmxUIvctC8RbCF8x3rzCQlqmfpX/VdxWef3zNsTX9xmg2i2vZSPYIW9IGwiO2BXjdNlYmj59Ok899RRlZWVcdNFFvPzyyxQVFREKhVi+fDlut7sv52mgQ8ypao5HnN2FkzhJmgCpmfn4hOLpjbM7cZ/iWXLbcuK2/UZXyUmxUyHkizhxFlr21MrnuUpkxkUfrT0hzWGlSqhNXuPM46F87lVkkJOqX+FPFY+iyRWPLU9Uz9Kg0HZ5Qwy9StCDarikpCTOPfdcPv/8c/73v/9x5ZVX8s9//pO8vDz+8Ic/9MUcDXSKQ1HxTo5Dj4eqWqvnVicqOakOLfcg3owlterQo+NmxSo5KTbNWPLWx9dFvEWpOK0zZ+o+B89kknAp4XE1jBsvtFbRZui+ihbAr/TFNMWhAGi1krNU4N0qb8gbG8PZ7IF0AMDo0aO555572LFjBy+99FJvzckgQUjNyItbj4fa4Nesc6FEgNwUuaoF0HJX4gWTKpSYrH+jNMVuoUaSjaV4y/HwN8jGUpNN/0YpKAKgQKghvsJwHkXLrFJk6N6DByCS5fNsjcNUCdWzlNn0m7xBb56l9jCbzZx44om8/fbbvbE7gwQhO149HgGf7O0CbJn6rmgBubS2UjGWvHGW46EKJZKq//MsSRKNSo5H3MlhaEKJiWEs+ZzyRTzeBEBbFE9XnSlL9x48AJNSHOKIw1QJtRouqWGLvCFXx56laFJXV8e8efNIT08nPT2defPmUV9f3+F4v9/P1VdfzYQJE0hOTmbAgAGceeaZ7NwZucgdeuihSJIU8ffnP/+5j99N/yAnxRafHg/FcPMJM6mZ+s9ZSrZbqJVaW57EDUJoZdZWnZdZq3iVsIWIswRvsxJGCSaABw9aVchtcSYAGlASoZsToDAEwK5ohyUH6uMqVaLZF6DZFySNJixNsa+EAx0ZS6eddhrr16/nww8/5MMPP2T9+vXMmzevw/HNzc2sXbuWG264gbVr1/L666/zyy+/tJtXdcEFF1BWVqb9/fvf/+7Lt9JvyA4LD/njqYO4cqGrJJPsBEjSBGiyyzkecVU91FKHVem/58zWb/+9cFQ5DHOcyWE4PLJRISWABw/AnBGnchhKgrc3AXLwAFKz8vGrqRJxlLekepXGW5X1LK0oppVw0IPecLFgw4YNfPjhh3z11VdMmzYNgKeeeorp06ezadMmRo9ua3Gmp6ezfPnyiG2PPvoo++23HyUlJQwePFjbnpSUREGB/nNX4o00h4VqpQS4pa4Ua4znoxEmlJiTAEmaAC32PPCDiKcqLcWbWCtSyEpLjfFkeon/396bh7lVnvffn6NdMyNpFo1msccbeMMLYFOD7aaQhBiaEBLSsBRKSUOc0PxIoA1JoWkSyNWEN8lV8jZb05cCScEBfoG4TRtCAglmt8HGxnjBNrbHnn0fzT6jkc77x3OORmOPZ/FIOlruz3XpsnV0dM6jZ6Tz3OdevrevClozTAA0FqUg0gmAM8v775m4i42+ZbEBGOqxfKE0MY3kXPHglRV5aSNANZ3K4x6Ya/WQgDH17vPdzTCKpWKUJlnhWXr99dcJBAJxQwngkksuIRAI8Nprr037OOFwGE3TKC4uHrd9y5YtBINBVqxYwV133TWlDMLw8DA9PT3jHsLpaJoW78wd6c6csEXUSBptzoEyaxPz4m0fyCRjacwoLc9y7R8Ts29ZwUgGqXj3t2EjRlTXKCzNjUW8pKRkrG9ZBoXwc6XViUnZuFSJzLl2mJ6l8xyGZ0mMpenR3NxMKHR6bkkoFKK5eXo/pKGhIe6++25uvPFG/P6xu5SbbrqJxx9/nG3btvG1r32Np59+mk984hOTHuv++++P504FAgFqampm9oHyCLPJq55BF7yhTiVy1qqXUFyQG8aSzbh4uzPJ42H8zVtzyIPnLakyVLyjmaPinaDeXeYrsHgwyaHc56ZFV3l4GSMAGotSEFH993LFg5dYHJJJjbhNz9IiU5AylOfG0r333ntacvWpj507dwJMKGin6/q0hO4ikQg33HADsViMn/zkJ+Ne27x5M5dffjkrV67khhtu4KmnnuL555/nrbfeOuPx7rnnHsLhcPxRV1c3w0+eP0QN0cdMankSiQslhrDbslso0cQRUBdvb6QrYzweI90JrU5yxLNU5i+kHaMVR6Ys4kbBQqtenDNGqRIALVZPMmURT/DgFZTkhmeptMBFq6EdZt5EZgId/cqzVDN6Qm3IAM+SpTlLt99++5SVZwsWLGDv3r20tJy+2La1tVFRMfmXNhKJcN1113H8+HH++Mc/jvMqTcSaNWtwOp0cOXKENWvWTLiP2+3G7c6Ni1LKKaqANnANtls9kjiml2vIk/2VcCYFJRVEdQ27FoP+NsgA/aihzgZcQKetlEJX9pdZg9GKQy8mpHWrRbzqfKuHhN7ThIYySpfkiLFU7nOzz8h3jIYbyIhvj2GUduSQB89htxF2BkFXavuZ8qna+4bx009g1Fg3LK6EA4uNpWAwSDA4dQnm+vXrCYfDvPHGG6xbtw6AHTt2EA6H2bBhwxnfZxpKR44c4YUXXqCsbOqmqfv37ycSiVBVlRtVJVbjMJu8RjogFgOb9ZFfu6HdEi2y3qBIFmX+AjoIEKJbLeIZYCxFjTLrfnd51rc6MQn63NTqJaykNmM8HiPhJtwoz9IGX26ElYu9TtpRYbihzgYKLR4PEM/pac0R9W6TAXcIhkDvyZxK2o6+Ec7VDBkU/xzwBKwdEFmSs7R8+XKuvPJKNm/ezPbt29m+fTubN2/mqquuGlcJt2zZMrZu3QrA6Ogon/zkJ9m5cydbtmwhGo3S3NxMc3MzIyPKxXf06FG++c1vsnPnTmpra3nmmWe49tprufDCC9m4caMlnzXX8BRXqhwPPXNyPDxD6qKn+XMj7wCgrNAdzz3IlEXcFBQcyYH+eybBorF5jmSIuvRwlxpHt72UAldWFDhPic2m0WuokY9myDybne9VuDM3jFKAEVMOI4MEQNv7hllsM4ylDPAqQZYYS6Aq1latWsWmTZvYtGkTq1ev5tFHHx23z6FDhwiHlTJzfX09v/71r6mvr+eCCy6gqqoq/jAr6FwuF3/4wx+44oorWLp0KV/84hfZtGkTzz//PHZ7Rjh+s55SfyGdGGXjmfBjHO7FFR0AwFWSO8ZSuW+sb1lGzDPgNCvzCq33ciULv8dBhyEAahopVhPNsVYnJqaKd6YUh0TCCa1OcsizFPOp66BrMHPySjv6RliiGTlUFit3m2TNbUhpaSmPPfbYpPvouh7//4IFC8Y9n4iamhpefPHFpIxPmBhTmDKo9Sg3duUqawfUoy54PbqX4kCJtWNJIsEiN28aHo/RcJP1P+xYDI8hKGjLEfVuUIUm/e4gjGaOx0MzcmkiOeTBA4gVVUIfOPszw1ga7mrECXRoJfg9lv/CkoZZHOKJhCEyCE6vxSNSfeEWx40l8SwJeYBqeWLEmzOhP5yp3p1D2j8Afo+TdqPJa0b0hxvoUKFXwJ0jZdYmo2bfsgzxeJgePD1HhBJNTDVyz1ArTHHjmw4SW53kSg4egL8kyKBuhBUzoMIzGtPp7B8ZC8OFMsOzJMaSkFKCRW5ajaqWjNDxMC4GzTlmLNlsGgOGAOhoJrSWMUKBbbqfskBGpOcmDbMwICM6tcdieEZULqAtkFtGqdsIk9v1URjotHg0Yx68kRyqogUo93loNkP4PdYbS10DIxTp/VRpxt9cPEtCPlBaOCZ6NpIJHg9TVZrSnDKWIKFTe0YYpWOClOU5lAwLYPebHo8MUPE2PHgxXcNTnFuepbJAEe26IfWSAR4Ph9HUN1aUa8aSmxYyRwB0XCWcrzojKuFAjCUhxThNHQ9g1BCDtBKz0WwuteAwMVueODKh5UkOtjoxcZdUENM1bJmg4m3Mcwd+yvy55cFTlYeGx8PqGwBdx2O0OrHlSLNik9A4z5L1N7TjKuEyQLnbRIwlIeUMutUingk6HiOGwdauleJz506SJoDNr8JD7mFD08pKjMUtl5oVm5T5MkjFOwfVu01Uy5Ni9aTX4mvHYBd2PQKAM8c8eGqejVSJDLhGt/YOJSR3i7Ek5BGRQnUn5ui33sVrXgyGvKGcStIEcBtVZ3Z9FAatzfGIGK1OWsk9YylRa8lyj0dvovZPbs1z4iJu+TwbRmm3XkjpFF0gso3SQhetRhhuJAO8/229wwmyAWIsCfmEfw4A7qF2iI5aOhRTeG00h7R/TEr9RXTohqaVxYtLxAh3dtlKKcwxD57qW5Yhi/g4D15u5YYFi8ZyaSyXaUgwSstybJ7tNo1+t8rDioatN5Zae4YzrhIOxFgS0oArECKi27ERs1Y+IBbDbeQd4MutyiEY30HcamFKvSf3+u+ZjA8PWTvPo0b1UivFOdOs2MTvcdBuCIBGrBYAzeGwMsBogbp5tFlt/AM93R1jlXDBJdYOJgExloSUU+bz0kIGJBAOtGPTR4npGu7i3PMsBQ0BUCDex8oq7P2mBy+38jsAyovctBnf51GLS63NcGdnDubgaZrGsGFsW57v2KPmuVkvpaww94wl3ajwdA22WJ7v6Oo+AsCgJwTeYkvHkogYS0LKCfncNOtGaWqPhW5eIxm3nUDOVQ7BeE0rSz1LsSiuIdUtXPPnVuUQgN+b4PGwWA4j1qOM4qEcalaciGls2yxW8TZzHRspI5gjzYoTcfoT8h0trvAs7DsBwEhgkaXjOBUxloSUE/InGksWLi49Zjl7cc6Vs4NSSzfDcDErPR79bdiIEdU13IHc8yxpmsaQW8lh6BZ7lmz9ylgaLcy9cCcQD5e7hjoszXcc7awDoEUvpbQg94ylsuIi2jJE06pkSM01ZedYOo5TEWNJSDkhn4emDPIsNeullOdg3oESAFWepUi3hRe8RA+er8C6caQQs0DANFYsQddxmSrivtwLKwN4ikOM6jaV79jfZtk4Ykbic4+7Aoc995bN8iI3Lbr1wpRDkShVUXV+V+hcy8YxEbn3VxcyjsQwnKU6HjnaF87EYbfR51ad52NWVrUY+VK5KEgZp0h5zFxD7dapeA90qrAJ4PTnprEU9Hlpo1g9sVBryd6nzj3szc15Ls8QYcq23mHmayrk6hFjScg3yorcNJslwN3WLeJmkmiu9YVLZNCrcg9sVor4Jah352LlEIArYKh46xaqeBt5aR26jxJ/kTVjSDEZUXkYGcQ53AWAnoNVtKBSJTLBs9TaM8hCw1jSysRYEvIMu01jyGPkrliol2J2DW+mNGcX8WiRkeMx2ArRiDWDSOwLl6NGaak/A1S8Ezylufp9VsaSxYu4cZPVr7spCpRZM4YUU17kzgjPUld7CwFtQD0pWWDZOCZCjCUhLUSLDBXvgWbLSlPN0FSfM4jHabdkDKnGFahgRLejoVu2uOiJfeFydRHPBBXv3oRWJzlqlGaEAGiCbEAo4LVmDCmm3Jfg/bfwhna49T0AuuxBcGVWvqMYS0JacBZXq7BFLAID7ZaMwWYIYo4U5F6FlklpkWes8tCivKWocbFtoSQny6wBgpnQiqNnrCl0rql3m4xveWKtZ6lJLyWUo0ZpodtB2K68ZjEr1dI7jwHQ7a2xbgxnQIwlIS2U+QtpM8MWVlTEjQ7jHDZUYXOsa3gi5T43TRihAosqD6NGOX3YXkaBK7eEEk2CRS7rc2l6VP+sRspy1oOntMOKARi1StMqrOa5SS8j5PdYM4Y0EDErPPusy1lyhY8DMFA037IxnAkxloS0EPK5E+QDLLjoGQvasO7E6w+m//xporzITaNuGEvGRT7dmC0TIgU5qv3DeBVvqwRAY91Kj6ZBD+ZsztI4j4dVmlamZ4lSKnLUswSgGzeRjuFuiAxaMobCAfWdHi1eYMn5J0OMJSEtlPs9NJuLuCXGkqmxVEJ5Dt8dhvxumnQLPUvRCI4hVR0Wy2EPXmIujVWLeLRbGcMtlBHwOi0ZQzoYMTwemkVGqW78jpr0Mipy+NpR4C9jUDfCuRaFPMsMQUpbhlXCgRhLQpqw3rNkJB2TuxVaABV+T4JnyQJjqa8VDZ2IbsfjK0//+dNEwOuk3fAsRa2Qw9B1bEYYbsBbhc2We61O4hjFIc7hLhgdTvvpY92msVRKyJ+7146Q35tQEWeNsVQRVWuDp2KxJeefDDGWhLQwvj+cBcZST+5XaIEylkyjNGZFGM6UDaCYshy+C7fZNAYMTSvNCg/eUBh7pB8Yk4vIVbz+MoZ1w3NmhcfD+Pv2OkM5m4MHRjI91sk0RPs7KaYPgMAcMZaEPCXkH1OI1a1YXHrHKody2bNUUuCkTTP6llliLOW+9o9JpGgOgAo7pjvHw/gNdepF+PyB9J47zQR9HuuS6SND2IdUYUgkRwUpTazWWgrXvwuoVImyktK0n38qxFgS0oL6IZqlqVYYS+oi26yX5rSxpGkaEcPTYB/sgMhQegcQN5Zys1lxIl5/KX264T1L93faMIQb9WBOe0phvAZQ2j0ehlE6oLsp9OWmIKVJeWLDcws8S/3NRwBo0KqwZ2BYWYwlIS24HDYGvUrfSOttBF1P6/nNVie5rCpt4vUHGTLDFun24hlGaS63OjEJ+jw06EZlZfhkek+eUM5eGcjteS73ueMNotPuWUrQWKoI5G5YGcxmutZ5lkbblCBlu2tO2s89HcRYEtKGWZpqGx2Cwa60ntvU/mmhhLLC3F5cKgLesSTvdF/0wqqapVEvy3mjNGilTINxvoYcr9CCU1S80/197klM7s7teU7MK9UtSPDWupQgZU/BvLSfezqIsSSkjWK/jw7dp56k86Kn69gMt/KQtzIjXbzJRCV5WyMfoHcrD0tDHoSHgkUuGuOepTQbS3lSzg4WN9M1W51QlrPq3SZlRW5aMeUw0u9Z8vScAGDIl3mClCDGkpBGQj6PNTHx4R5so0YCrq8yfee1iJA/QcU7zYu4ngdCiSblPjcNFnuWGvUyKvPAWIp7PNKes6SMhsY88CzZbRpD3gRNqzT38PQNqButWMnCtJ53uoixJKQNJZhoygek0eNhuJS79UICfn/6zmsRFT4PjVbMc3QUzVjMulyVeF252azYpNznHvMsdac3Z0lPMJZy3bNUVuga83iku29Z2GyiW5bT6t0mmq8yoYdnR/pOPNhFYTQMgCOYeYKUIMaSkEZCPjctVmgt9eaHxpLJuDBcOqu0ehvR9CjDugMKc7fViUlVwJuQ4J1Gz1IsFv/9NBPM2Sa6Jh6nnR6X+j5pPQ3pLQ7Jo5wlUD08OzBuKNPpxetUPeFa9WJKS0rSd94ZIMaSkDYSBRPT6vFINJby4O6wwqqWJ0YIrkkvo8znTd95LaIyQS1d72lIX9iivxUtFmFUt6EXVeCw5/5lPFpUrTwe0SHob0vbefXwWG5YrucsgRnyNCsP02ksqeTuWr0iY6/RWfMr6+rq4uabbyYQCBAIBLj55pvp7u6e9D2f+tSn0DRt3OOSSy4Zt8/w8DBf+MIXCAaDFBYWcvXVV1Nfb00D0lwnlKiXkk7PknkXnuMaSyYVgYRFPJ0ej/BYvlI+zLPXZWfQU05U19CiI+lbxMNmT7gSgoHC9JzTYop9RTSbjYvTFfKMDKENqlBUrytEoTt31btNyi3qtKB3HAWgNlZJyJeZHrysMZZuvPFG9uzZw7PPPsuzzz7Lnj17uPnmm6d835VXXklTU1P88cwzz4x7/c4772Tr1q088cQTvPLKK/T19XHVVVcRjUZT9VHylpBvzLOkpzUMZ2j/5HhfOBOf20GXwwhbDHXDSH96Ttw9JhuQ68ndJsFAES3mIp4uwzRBniHX85VMyn1u6nWj12C6jCVD9X9Ad+P2ZZ6idCpQqRLp9yxF2g1jKYM9S1lhKh88eJBnn32W7du3c/HFFwPw4IMPsn79eg4dOsTSpUvP+F63201l5cQVUOFwmIceeohHH32Uyy+/HIDHHnuMmpoann/+ea644orkf5g8JuS3qD9cwuJyUR4s4pqmUegvobfPi08bVHlL5UtSf2JDmLGBIJU5LuBnUhnw0tAVpFrrVJ9/7trUnzQhNJTrlXAmqvIwCBxKn7EUHstXqvDnflgZ1Dy/a8E1OmoIUrY6qjO2MCQrPEuvv/46gUAgbigBXHLJJQQCAV577bVJ37tt2zZCoRBLlixh8+bNtLa2xl/btWsXkUiETZs2xbdVV1ezcuXKSY87PDxMT0/PuIcwNR6nnT634fEY7oHh3vScuEvpd9Tr5Rl715JsQuPyw9Lk8UiQDciXRbzS706/1lJCq5MKf358n4NFFniWEsL3oTyZ5/Ii95inNI2eJUe3SvDuKcxMjSXIEmOpubmZUOj06ppQKERz85lFyv78z/+cLVu28Mc//pF/+Zd/4c033+QDH/gAw8PD8eO6XC5KTsm+r6iomPS4999/fzx3KhAIUFNTc5afLP8o8hXToxeoJ+lQidV19G5lLNXlkbFkSUWc4cGr18upyhfPUkKSd9qMpR7TWCqVMFwqMea5ifwKd455/9NkLA2FcQ4bzYr9maneDRYbS/fee+9pCdinPnbu3Amo0MKp6Lo+4XaT66+/no985COsXLmSj370o/z2t7/l8OHD/OY3v5l0XFMd95577iEcDscfdXV10/zEQmLeUloqtQY60CIDxHSNNnsIvycrIs+zpsKX0IojHfOs6/Fk8gY9f8JwFQFP+uUDEjxL+TLPylhKs6ZVQl+4fKiEA+WRHmt5kqabLKMSrk334wtkbrNiS1eO22+/nRtuuGHSfRYsWMDevXtpaWk57bW2tjYqKiqmfb6qqirmz5/PkSOqu3FlZSUjIyN0dXWN8y61trayYcOGMx7H7XbjdufHjyfZVPhVAuFS6tMTEzdCcC2UUFxUNKkRnEuM9yylYRHvb0cbHSKma0Zz1/xYxKsCHp5P9yIezp9WJybliWG4cJ3SWkr1bzkhDHdxnsxzoctOZ2JxyHAvuH2pPalhLJ3QKzPa82+psRQMBgkGg1Put379esLhMG+88Qbr1q0DYMeOHYTD4UmNmlPp6Oigrq6OqirV0HXt2rU4nU6ee+45rrvuOgCamprYt28f3/3ud8/iEwlTERrXtywNxlJ3LZBfIThQyfSHSaMHz0jubqWYAq+XAleeePDSHYYbHYZ+lXeZD010TaqLvWPXjciAUpcunHrtmBWJKul5cu3QNI1CXzEd/T7KtF51s1m5MrUnjWssVWa0By8rcpaWL1/OlVdeyebNm9m+fTvbt29n8+bNXHXVVeMq4ZYtW8bWrVsB6Ovr46677uL111+ntraWbdu28dGPfpRgMMg111wDQCAQ4NZbb+VLX/oSf/jDH9i9ezd/9Vd/xapVq+LVcUJyGa+1lIZF3Ljbzzdjafwino55Hkvuzpd8JTBzloxFe7Az9TINxm9mQHcz5PTnTVi5pMCJ5kgQTDTyEFPKuATv/PlOh3xu6kwvXldt6k/YYRhLsYqMTqTPCmMJYMuWLaxatYpNmzaxadMmVq9ezaOPPjpun0OHDhEOq/4ydrudd955h4997GMsWbKEW265hSVLlvD666/j8425Fb///e/z8Y9/nOuuu46NGzdSUFDA//zP/2C3Z2b5YrZT7kvoD5eOaos8rISD8WG4tGhaJQhS5ksIDqC00MWwvYge3SgtT7Vhang7mvRSKv3evAkra5pGVcCTviTvyBAMtAPKs5TJHo9kU+5zU6cbBVXpMJbiYbgKyosy99qRNbclpaWlPPbYY5Puoyf0DPJ6vfzud7+b8rgej4cf/vCH/PCHP5z1GIWpCfk8CdUW6fB4jBlLVXmgsWRSkdC0WBvphaEweAKpO2GeepY0TaMi4KaxL4hfq1PhyFRqWhnGWIMezJsQnElVwEt9T5CLOBz/vqUMQ5ByUHcRdQfyQr3bpNzn5qRpLKXDg9elZANq9UrxLAmCSShhEU9PzpIZhgvl1SJe4HLg8BTRrRvtMFLu8UjUWMoPAT+TSn8aK+LinqX8yVcyqUqsPEy1ZymxEi7P5jmUTs/SSD/0qeKtk3oooz14YiwJaSWUGIYb6FDu7lQRi8Uvqvmk/WMyriIu1V68blNjKb88S5DmJO8ENfp8CncCVBWnMQyXWHGYob3KUsU4z1KqjSXj+GG9gEG7n4DXmdrzzQIxloS0UuR2MOryM6AbdxCpXMT7miE6wig2mvRS5hTnl8ejwu9O4yJutDrRy/NuER+X5J3qeTZ+L415JJRoUhXwps9YMua5mfxR7zYpT0zw7j6pbjpThWEsnTB6wmVyDp4YS0Ja0TSNkM+TUG1xPHUnMy6ojbEyotipyjdjKV0CoEM9KieK/MtZAqgMeGhIm1GaUM6eZ4v4aQneCTmqSccIw+VTs2ITJRxcxig2GB2Kh8lSQqe6/p/M4Aa6JmIsCWkn5PNwQjfERDtTaCwlVML5PQ6K8ihJE5SmVVrkA4zQUJdexACe/PMspSuXRtfH5SzlS/89k6qAd+z7HOmHwa7Uncz0LOWRerdJyOdmFMfYXKcyFNdlGkuZna8EYiwJFlDud1OrV6onqTSW4j3hQlTnmVcJzIo4M2cphR6PhEq4Qpcdnydz8w5SwbgwXE8jxKKpOdFQGEb6gPz0eFQXexjGRaterDakslKrx8xZyr8E72CRG5fdRl0sDRVxp4ThMhkxloS0E/K5EzxLx1J3ooQGuvlpLHloIn2epXzTWDKp8HtopZhR3QaxCPS1puZExgLeofsYwp13uTQBrxOP05aeHnHGDUBTHql3m9hsGlXFnvQkeXcmepYy+9ohxpKQdkI+D7XpMJYSwnD5lkcDpyR49zSkLsej20zuDlIVyE+jNIp9TJk+VXlLCSG40kIXbkd+CedqmkZ1OpK8BzqVGjtQq1fknWcJoDrgTb18QCwa/xuejIUy3vgXY0lIO8qzZIThuo6nLmyR556lcQKgo0NqEUgFee5ZcjlsBItcCflhKVrExyV35988Q5rkA4wbuGa9hEE8GZ9Lkwqqi70JRTgpCsP1NEAsQgQHTZRRnuGiwWIsCWnH1KWJ4IDoSGrEKaOj8dCTylnKv8Ul5HczgpM23a82pCpvKY81lkwq0iFMmceVcCaVfm9CMn2KVLw7jgJKUbrI7cgr9W6TOSXe1IfhjBBcA+XEsDGnJLNvaMVYEtJOyO8mho0GjDuXVITiehpAjypjgUBehofcDjslBU7qzYteqpLp89yzBGaSd4rlAxKMpXyrhDOpTotnSRlLx2OZ3X4jlcwp9oyF4XobUyMebFTCHY+q84ixJAinYLq1j0VTmLcU7wkXRMeWd4KUJhV+D8fMkGfHe8k/QWRMhyUfNZZMKgNpEKbsSVCVzlNjSQlTJiR4pyIPL8GzlI8hOIA5xQV04mMAs0F0Crx4hsfqpB7C53Hgz/AqWjGWhLQT8DpxOWyprYgz25zEgmgaebu4VPg9HItVqyepMJaMBXwQN1348q4vnInqD2d6llIUHkrw4OXr93mcMOVIb2q0ljrHjKV8nWeVtqBxMp63VJv8kyQIUs4tKUj+8ZOMGEtC2lFVLZ4EraUUGEtdYxpL5UVuXI78/KpX+N0c06vUk/YjyT9BglEKWt56lioCHhri4aEUGEvR0XGq0pWB/PR4VBlaSx0E1IZkG6a6Dh3qenRMr8pjY0nd9JyMpdBYMsJwJ/SKrPD85+cKIljO3JKCMc9SKn6ICZVw+dbmJJEKv4fjprHUcST5YYsEb4fbYaO4ILNd6ami0p/QWmaoG4Z7k3uCrlqIjTKImxZKMl6TJlWYuYd1sRRpLQ10wHCYGFpWqEqnCo/TTrDIldok7wRByrkZnq8EYiwJFjG3xDteaynZi7jp8dDLmZOHlXAmIb+H46YHbyisFoNkkqDeXRXwZHQjzFRSFfDQRwE9FKoNyRYBbT8MwNFYFTq2vE2k93scFLjsqUvyNkLVHfZyhnHlpcaSiZIPSJGxNNAZ7ydZp5eLsSQIZ6KmtIAGvZwodogMJL9ZY1eCZykPK+FMKnxu1SLCZiwuyc5bkko4QIXhABpiKcpbMo0lvRqnXaO0wJXc42cJmqad3lA3mRjJ3SdRNxj56lkCJUw55llKstaSEYLrtJUyhFvCcIJwJuaWeIngoM1ulrUnMW9pdBh6m4D87QtnYuZcHNeNJO9k5y2N01jK33n2uZXHIx5aTrZRavzd3otVE/J5sNny04MHyuORspYnRnL3oYi6LlXn8Xd6nNZS94nkev87x/KVzHNlOmIsCZZgul3jP8ZkGkvddYDOEG468VGdzx4Pw1g6NGou4kk2lsJjrU7y2bOkaRqVfg9H9DlqQ9u7yT1BgmcpXwUpTSr9ngRjKckePMOzdDRagd2m5aWYrYkySg0P3nBPcisPjbDesVH1dxTPkiCcgRqjVPRwJAXClEZyd4MWArS89iwFi1xomsp1AeKLQVKIRRMqtPJXY8mkMuDhSMw0lg4l78C6Du3qeEf16rw2SgGqilPYH84UpNSrqC724LDn7xI5x6g87LQZhQvJzFsyK+FiFXiddkoLMz+snL/fBMFSgkY5//FYCrSWDGOp1rhrqcrju0OH3UawKEXyAeE6iI0SwUELJXmrKm1S6ffwnulZaj2YvLBFfxsMhdHRDKHE/J7n6kBCa5nhMAx2J+fACbIBtXpl/IYuX5lTrD5/SiriOtWxTugh5pR4s6IwRIwlwRJsNo25xd6xhrrJNJYSkruddo1gYX6HLaqLvWPyAZ3Hkte4uPUgAMe1ucSw5XXOEqgk76N6NTE0JR/Q35acAxshuA5nFcO48t6zVBnwMIiHbs3QWkqWd6m3GSL9xLBRp4eYV5rfxpIZgjRDZcn1LKljncwSjSUQY0mwkLmlBQnyAbXJuxM3Lp5mJVw+J8MCzC8toEEvY9Tmhlgk7nmbNa0HADgwqrwpFXkqlGhS6Vdhi3aHYZgmK2/JMJZO2ubGz5PPmGH1pCd5GyG4TmclERzU5LmxVFrowuO0jckHJOu6MTocV/4/qYeyQjYAxFgSLGRuidLx0NGUO32gMzkHjveFC+V9Hg3AvNICdGy0udRiS3uSKrUMz9KhWA0Om3jwTI9Pra1GbUhW3lJCJRyQt81dTczfdG3U9HgkqUG0kc9XryljN9+NJU3TDK2lJKt4d50AdIZsXjrwZ0UlHIixJFjI3BIvw7jodiQ5ybvLNJbKs8bFm0rmlamLfp1mJnkn2VjS51Lhz+9ydhjz+BwcNT1LSTKWjOO8Mxwad558xedxUuR2cCRmGP8tB5JzYMOzdGRUzXNNliziqWROsZeTsSTnLBnHabZVAVrWXKPFWBIsw0ygbLAl5NPMlpF+GGgHzFYn+b2wgArDAbwbSaJ8QDQSDw8d1mvEg8eYZ2nvsJGHl7QwnPp7HYxUomnkdXWnSVXAw0F9nnrSsi85BzU8SwdG1M1bvucsgWEsmWG4cL3qUThb4pVwap6zoYkuiLEkWIgZqz46mkTPknHX0m8roodCWViA+WWqBcc7Q0lU8e48BtERRuwqHyrfk45BVXjabRqHTY9HMjxLIwNxLaujejVVfg8ep332x81yqoq9Y8ZS27vJWcSN68+xWBUFruwoZ0811cVeWihhVHNCbDSeazQrDEFKUzZGcpYEYQrMO4qDI0buQTKMpeZ3ADhmmw/ktwKvScjnxu2w8V7UlA9IgrFkJHe3eRagYxPPEmC3aYR8bo6aaun9rbPPwzMM22FXCV3444ZvvlPlVy1PRuwFEB2Z/Q1ALBa//hzXK5lXWpAV5eypprrYq/Id7Ulsem4cozYWwmW3UV6UHTl4YiwJlhEsUtUWtbEkygc07QXgnVF11ymeJSXTMK+0YExrqbcRhvtmd1AjX+mEXRmllWKUAkoxfQAPAwWGwTRb75IR6mxzq+/zgmB2hCxSTVWxBx0bTe5FasNsQ3E9DTA6RExz0KAHsyY0lGrMfKJ4kncyKuK6xlqdVBdnT66jGEuCZWiaxtySgrF+WknxLCljaXdEVSRJzpJiXmkBYYoYcpaoDZ2zVPI2PEuHYsY8i2cJgPlGMn2bZ6HaMNu8pVNkAxaIZwkY+76ZHuRZG0vG76HLXU0Uu+QrGZjG0pFIkkL4sViCxlIoayrhQIwlwWLmlnjHjKXBztmp8ep63FjaH1uAz+3A73HOfpA5gFkR1+Y2ytpnq+RteJbeHlbeKslZUiwMKmOmVktS3pJhLL0bUd5XCcMpTAHUfaPG97ll/+wOaCR3N9iUR3BeafYs4qmkMuBB02Bf1Jjnprdnd8C+FuXBw06jXpY1lXCQRcZSV1cXN998M4FAgEAgwM0330x3d/ek79E0bcLH9773vfg+l1122Wmv33DDDSn+NIJJTUkBA3joc5apDbPRTOk+CUNhYjYnR/S54lVKwKyIO6EZ4aHZ9IiLDMa9gDv6laErniWFaSztjyRJmNIwancNqDt7CcMpTHXpN4aM7/NsjSXj+3w0qr7P+a6xZOJy2Aj53LwTMzyljXtmJx5sXN+7nBWM4siqcGfWGEs33ngje/bs4dlnn+XZZ59lz5493HzzzZO+p6mpadzj4YcfRtM0/uIv/mLcfps3bx6337//+7+n8qMICZiVEC0O46I3m1CckdwdLjqHCA7JV0rA9EgcSoZ8QPth0GPEPCU0xQLYbVrWJGmmmkXBIgDeMIzIWXmWYtF42GPvsDre/FLxLMFYjtwe01jqaZhdMr1x87BvSGQDTqW62MthvYaYzana+Mwmydv4PZhyMdnkWXJYPYDpcPDgQZ599lm2b9/OxRdfDMCDDz7I+vXrOXToEEuXLp3wfZWVleOe//d//zfvf//7WbRo0bjtBQUFp+0rpAfzDu6EXsE5vDNLY0mF4Bo8iwHyvldZImYYbs9AubpFmk0YrlV5S3r9i6FbY35ZQV53Z0/E9Pzs6i8HDyqZfigMnsDMD9Z9UoUs7C4a9HIq/R68LpENAChyO/B5HPQOFRDx1eDsrVN5dAv+9OwOaOQsvRvJLu2fdDCn2Mvuk046Cs+lvPcgNO6G0oVnd7CGXQC8bXiqJGcpybz++usEAoG4oQRwySWXEAgEeO2116Z1jJaWFn7zm99w6623nvbali1bCAaDrFixgrvuuove3t5JjzU8PExPT8+4h3B2mJ6lwyNmAuEsjCWjEu49m/ohVktoKM7cEi+aBgcjhsBcx9Gzd6cbyd1NbjXPpjdFUOrSwSI3vRQwUmCKUx4+u4MZBm1v4QJi2OLJ44LClAUJ+5eoDWcbiouOxrV/amOVlPvcYpQmYHp/TrgNp0TTnrM/mGEsvTq4AMgejSXIEmOpubmZUCh02vZQKERzc/O0jvHzn/8cn8/HJz7xiXHbb7rpJh5//HG2bdvG1772NZ5++unT9jmV+++/P547FQgEqKmpmf6HEcZh3sHtGTLCFkYo7awwPEt7oyIbcCpuh53qgJeTegW6ZoORXpVseTYYyd3v6ep7f05IQkOJLDLylroLDQ/22eYtGcndLU5DNkCSu8dhFhW0eM9RG862Ii5cB7EIUZuLRsqkzckpmNfRg5oxz427z+5Aw73xa8eu0UXYbVpWte6x1Fi69957z5iEbT527twJMKFAmK7r0xYOe/jhh7npppvweMb/cTZv3szll1/OypUrueGGG3jqqad4/vnneeutt854rHvuuYdwOBx/1NXVzeBTC4mUFDgpdNnZFVOhM1r3w9BZeOr6O+LqsjsG5gAiG3AqNaVeRnDS71Xzc9ZlwMYFb7dRCXdOuXiWEjGTvOsdCQrTZ4NhLB1H5eUsCIqxlIjpaTvMArWh+SyNJSMEF/bMRccm+UqnYHqWdo4YMg2Nb5+dV7pxN6AzXDiHNoqp9HuyKnxvac7S7bffPmXl2YIFC9i7dy8tLaffBbe1tVFRUTHleV5++WUOHTrEk08+OeW+a9aswel0cuTIEdasWTPhPm63G7dbElqTgam1dKilhMHCGrz9ddCwE875wMwOZHiV9JKFvNemAXpWJQ+mg/mlhWw/1kmbu4aigToV5plpjsdQT7z9xithpbx+Trks4oksNObjcGwOa+Dsk7yNMNy+ERXOWyBhuHEsDikjfedQNdeAMuJjUbDNMIRmzHOzQ91ESCXceEzP0vbecrC7YTisckvLzpnZgeqV46M9sBI6sitfCSw2loLBIMFgcMr91q9fTzgc5o033mDdunUA7Nixg3A4zIYNG6Z8/0MPPcTatWs5//zzp9x3//79RCIRqqqqpv4AQlKYW+LlUEsvzf7VLOyvg5M7ztpYGilfyXBTDBDtn1Mxk7xPanNYCGfnWTIW/lhRJYfalYaV5CyNx/Qs7R6s4AaYhbGk3vdmn7pGisbSeM4xjKXXOn3g8MLooMo9Cp47swOdfB2AA6iwqRhL4zFvOlsGdGILV2BrekvlLc3UWDLylWq9ywGYm2U3s1nhA1u+fDlXXnklmzdvZvv27Wzfvp3Nmzdz1VVXjauEW7ZsGVu3bh333p6eHn75y1/ymc985rTjHj16lG9+85vs3LmT2tpannnmGa699louvPBCNm7cmPLPJSjMi9Nh9wq1oW7HzA9i5Dp1FKnvQ7nPjdshSZqJmGGLQ2aS99lUxBnJ3f0BlVRbWuiiRBqOjsPMWXo1bGiHhU/OvL1MfwcMdADw9qBpLMkinsjikA+AE13DxMrVAjzjvCVdhxOqSOjFEfWdrpFKuHH4vQ6K3Mqv0lu2Um2cad6Srsc9S/tRKRfZ5lnKCmMJVMXaqlWr2LRpE5s2bWL16tU8+uij4/Y5dOgQ4XB43LYnnngCXdf5y7/8y9OO6XK5+MMf/sAVV1zB0qVL+eIXv8imTZt4/vnnsdtloU0XZkXELt2oaqnfqdzpM8GshLOru8MlFeLtOBVTo+eNAaNKq/GtmeceGPlKLUY7DwnBnU5NaQGaBvXDXmIFRpVn+wwr4gwdrJHCOQziIeRzU+jOCqWXtBEsclFc4CSmz6Iirv0w9LehOzz8sVcVLMwTo3QcmqbFRUBbCpepjY17ZnaQnkboawbNzs4RlcuXbWkSWfPrKy0t5bHHHpt0H32CC/9nP/tZPvvZz064f01NDS+++GJSxiecPaax9GZ/Bbj9MNyjLnpVq6d3gJGB+OKya7gG6GVJhS9Fo81ezEXgpf556L4CtP425SmqWDH9gxiepaOauuBJcvfpeJx25hR7qe8apM9/Lv6BNhWKmzNxDuSEGMZVd+EC6JBKuInQNI1zy4vYeaKLetdCSmDmxlLtKwCMVK6h/z0HTnt2VWili+piL4db+jjuWsISUG1PYjGwTdPf0qC8SlScx7GwWqezTcsqazxLQu5i/mjquodh7kVq40xCca0HQI9BYTlvdaqQ0FIxlk4j4HUS8DpVRVylyv3j2LaZHcTwLO0ZURVai8SzNCFm3lKL26ggmmlFnOEpbTAq6iQENzGLDQ/ywZhReTjTMNyJVwFoK1XXnTnFXuy26VVY5xOmF2j/SLWR5N0zs9ZURghOn3MRDV2D6pgShhOEmWHmCLT3jRCp/hO1cSbGktncsXI1h1pUbsiSSjGWJsJcdOtLLlEbjr4w/Tf3t0N/KwCv96jwkniWJsbMWzp2Ng11dR3eew6At2wqR0RkAybmXCNvaceAUZDTfWL60iO6DrXKWDpScAEgyd1nwqw8PNA6CJWr1MaZ5C0Zyd395RcwGFEpFtnWT1KMJcFy/F4HPiMfo6X4ArXx5AyMJaMSbjC4gtbeYWDsxy2Mx9SQ2ee5QG048SqMjkzvzYZXSS+ez8H2UUCMpTNhepbeMbSoaH5n+vlhHe+p/lt2F38YUjkiEoabmHON3/nbHTbwG/phRqh4SjqPqTwau4u9uqqgE2NpYpZV+QF4t7kHqi9QG6drLEVH4/s2FJ4HQMjnxuPMrrxgMZYEy9E0jbnGReqYaxloNlVB1NM4vQMYlXD1LnXBm1PsxedxpmSs2Y7pWXp7uBoKyyEyAPVvTu/NhrE0VLKU4dEYTruWVe0K0slCw4h8qX8uODzQUz/9fJojv1f/zt/IoS5lYEkYbmLMm6La9n5iIbUQTzsUZ+QrMWctx8NKbkQq4SZmeaUyluq7BhksN3JJp5vk3XZQXWdcPo7qyqDNthAciLEkZAjmonuizzaWcDydUFx0NL4I7ddVfshSCcGdEbMirrZzCBZeqjZON2+pWYU727yqEm5BWWFWKfCmEzMM926njm5qhh38n+m9+fDvABha+EE6+pXXT8JwE1MV8FDosjMa0wn7ZlgRZ+QrMX8jJzsHAES9+wwECpzxXptHnUa3BTPJeyqMfCXmXMi7zSpN4tws9EjLlU7ICExjqa5rEGqMfJq6N6Z+Y8cRGB0CZyG7eksApBJuEuLClJ0DcM771cbpGEujI/DubwA44L4AkBDcZFQXe3HZbYyMxuicd4XaOB1jabg3rvtzovR9AASL3HGdG2E8mqbFQ3EnnMqIn5axlJCvxIKN6rqDGEuTsdwIxe0eCCkR0JHeeKuYSTHylZhzEfsbVT7ZyjmBVA0zZYixJGQEpvv7ZMcA1FysNp7cPvUbzca7lSs51KLuDpdWyiJ+JszFoKFrkNH5ajGmYRcMhSd5F3D0DzDYBUUVvBpT4Q6phDszdpsWN0wP+TeCzaH6HnZMsbgc2waxCJQu4vCoEg+VNieTYyZ57x81Gpo374PI4ORv6j6hQqM2B4MVF9Fm5DrWlGZfeChdLKtS83ygZYZJ3qaxNPci9jWq68yKan8qhphSxFgSMgKzBPhAUw/MM4yl5r1KQ2kyjEo4vXI1h1t7AfEsTUal34PLYWM0ptOol0PZuaBHx/I3zsTe/6v+XflJ3msbAsSzNBVmkveRXicsMAzTqbxLZr7S4k2c6OgHpM3JVJjXjjf6yqF4HkT6Yf9/Tf4m06tUfSH1/UoqwOdxEPBKruOZMD1LB5sSk7z3TP6m4d54rmN78SpaeobRtLFjZRNiLAkZweo5xYAKD3U5KsBXDbFRpTJ9JnQdjv4RgN6S8+geiGDTZBGfDJtNo8bMD+vsh0WXqRcmC8UN9cChZ9T/V1/L0TaVd3COVBxOipm3dLy9H5Z/VG2czFjSdTiiJANYvInaDnWjIJ6lyTHzXw63DcCaW9TGXY9M/qYJ8pVqSgrQNNFYOhPLjCTvQ829xKouUBun8iw17gZ0CNSwL6xynhYGC7NSjV6MJSEjCBQ444vC3sYeqDFEEycLxb33vCoTdhWx3/9ngEqEzbaS1HRjeipOdg5Mz1h6939VXljZYnpLxuQZJAw3OQsTjaVlHwE0pWQcbpj4Dc3vQG8TOAtg/kZq25VnSZK7J8f0LB1r6yN6wV+pkGfdjslzl0xP6oI/jRulEoKbnIXBQtwOG4ORKI0FRtuT5r2qyOZMxJO714zlK1VnX74SiLEkZBCr5xYDsLeuG+aZSd6TVMS98v+qf9d+iv1d6qssyt1TY+YtnewYUOEhzabaa5xpETdDcKuv51i7WljKfW78Is8wKeOMJV/lWC6ekSh/GmYIbtFl4PQkeJbEWJqMuSUFuB02hkdj1Ed8hmEK7DyDdylcr3KWNBvUXMzbdd0ArMjSRTxd2G1avNL4neEKKAjCSB/s/s8zv2lccnf25iuBGEtCBrF6rrpYvV0fHltY6t6YuDy1fieceAVsTrjk8xxukXyl6WJq9pzoGABvMVQbPcuOT9Ansbd5bPuqT46F4MSrNCULjTmq7xpgeDSaEIr79cRviOcrfYi+4VHa+5QHTxq7To7dprHICMUdaemDtX+jXtj7JIz0n/4GM1+p6nzw+HnrZBcAF84rTsNosxtTb+lgcz9c+hW18YX7Ybjv9J37WuH4y+r/c7O7Eg7EWBIyiPNrigHYW9+tqi2cBTDUPbF36ZXvq39XXweBOfE2J6KxNDWmp8JMiI+H4iZqfbLvadV3b+46KF3IsTa1+CySvLApKTdK/mM61HUOwPKr1AsnXoX+jvE7D3SOiYOe+6F4CK600CVJx9PAFKd8r61P6YeVLFT9y/Y9ffrOJ4wQ3PyNtPYOUd81iKbBBcb1RzgzZkXcweZeZZSWLFQtkF7/0fgddR3+9+9gOAwVq+gpv1DdnCGeJUGYNSuq/dg0aO0dpqU/CkuuVC889TfjQ0TtR8ZCGRvvIBbTOSKepWljLgrH2vqV9yIxb+nUlhzxENx1AAmeJTGWpkLTNBYEDWX6tn4oWQCVq5XxaSbMmxz9o9oeWgHFNfGFRZK7p4dpLB1p6QObDdZ+Sr1waihupH8sP2/Bn/LWiW4AloR8ovo/Dcwk74NNPeBwweXfUC+8+gPobRnbcd/TKtfR5oCP/4QDzer7PKfYS3GBK93DTgpiLAkZQ4HLwWJDM+Xtum646vtQvkwlvT5+/Zir97UfADos/TCUL6Whe5CBkSguu00Wl2lQUuiK53btrO1UyfTOAnWHuP9XYwZT22Fo2qMueCs+ASBhuBmyMKgW8eOGp4jlV6t/T62KM1S7WfwhAGoN2QDJV5oepjDle6a39IKbVIi+8a2xRtvhenj4Sug+CS4fzN/A7joVglszv9iCUWcfyw3PUn3XID1DETjv4zBnrZJrePH/UTv1tsAzd6n//9mXoWp1PASXrV4lEGNJyDDMvKW99WGVT3Pjk6qHWfM78NSnlYfp7SfUzhvvBFQpK6jqLGm/MT3+ZKFSO3/jeBc43LB4k3rhqU/DQx9SlYZ7n1TbzvkgFJYRjenUGgne4lmaHuOSvGEsb+nYC8o7+uoP4L8+P+YpXaLUvt86oRZxCStPD7Mi7r3WPnRdh6Lysbne+YjKcXzwA6p6q6AMbvoleALsNjxLF84rsWjk2UVxgYsqo+3JoeZe0DTY9M/qxV0/VzdYv/l7JWBbuQre9yUA9jeo5O5szVcCMZaEDGO1ESJ6u75bbShZAH/5hGpGeuR38NAmiI7AvPVx8Uoz90YWlumzbmEZAG/UGrkzH/1XWH+7amNQ/yY89hfwygPqNSMEV981wEg0httho7pYyqynw6JTjaXypVC2WH2Hn7gRnvsa7Nmi7sx91TB3HaPRGDuOdwKw4ZygVUPPKuaXFeKwafSPRGkKK9FULvq0+vftJ+CRD0NfC4TOg80vwPz1RKIx9jZ0A7BGjKVpYwpKvtukvEXM3wBLP6LEbbd8MiH89m9gV6FN8SwJQpI53/AsvdMQVneIAHMvgmv+Xf2/p179a3iVAA43S77STFm3oBSAA4099A5FlBfvim/BnXvHjCY9Bq4iFe5kLAS3MFiI3SbifdPB9MC929xLNKarO/ENXwB3AMqXqzDGZffAtT+Hz70Edgdv14fpGx6luMDJeVm8uKQTp90W16M60mqE6xf8qTJMRwchOqxyIG/9PZSohtsHm3oYisQIeJ1xo1aYmmXGTemBpt6xjZffC5pdSTIA/NlX4i1RhiJRlXiPeJYEIWksq/TjstvoHojElXUBWPFxuPw+9f+KlWNhIxirhBNjadpUBjzMKy0gpsMuI+QDQFFozGi6/F64/lFwJSQpIyG4mbC8yoff4yA8GGGPoefD2lvgnpPwf7bDdT+Hy+5W3++icgBee68dgPWLysQonQHxijjTWNI0FQayu2DjHXDDL8A9do0wQ50XzivGJvM8beKepeaesY3lS2DNX6v/V66G9/19/CXzRiFY5CLkc6dzqEkl+zTHhZzG5bCxvMrH2/Vh9taHx/fF2niH8jKVnasqXoDRaIyjrSIbcDb8yYJSTnYO8GZtJ5ctDY1/sSgEf/p34za9m5AbJkwPh93Gny0p53/3NrHtUCtr508d7nn1qDKWNpwrIbiZcFqSN8AFfwmrrgX76UvdbsN4vbBGQnAzwUzyPtTcSyymjxmaV3wLgothxTXx8BvAPiNf6bzqQFa3kxHPkpBxxJW8zbwlE01TrnVfZXxTbYfKoylw2ZkjeTQz4uKFKhT3hpEfMxnRmM62Q62AMrKE6fN+wxB9wZi/yRgcicbL2TeeU5bKYeUc557qWTKZwFAC4mKUUgk3MxaUqbYnAyPR8d5/VyGs/z/grx63/1ibk+wOKYuxJGQcqxKVvKfAVO5eXOETV/oM+RPDWHq7LsxQJDrpvjtrO2nvGyHgdbJeFvEZcelSFV7b19BDa8/QpPvuPNHJSDRGVcATr6QTpocpO3LIzA+bhLbeYeo6RYzybHDYbfH80INNPVPsDQfibU6yN18JxFgSMpDzDc/SvobwlBc9UzZgaYXk0cyUBWUFlPvcjERj8f5YZ+LZ/c0AXL68AqfIM8yIYJE7Xriw7XDbpPu+YuQrbTgnmNUhCys4N1REwOukZ2iU1492TLqv6VUSMcqzY3mikvckRKKx+D4r54hnSRCSyrmhIgpcdgZGovEKrDNhunilEm7maJoWr4p7s/bMoThd1/ndPmUsXbmy8oz7CWfGzAnbNkUo7rX31CK/8Vzx3s0Ul8PGR1ZXAfCr3fWT7ishuNkxTsl7Eo629TEyGsPndlBTkt2CwWIsCRmH3aax0nDZTubxaO0d4sXDavGR0NDZsc4Ixe2YJG9pb32YxvAQBS4771ssScdnw/uXKWPp5cPtRKITNIYGugdG2GeELDZKcvdZ8YkL5wDw7L5mBkZGz7ifiFHOjgkr4iZgX4N6/bxqf9anSYixJGQk45S8z8ATb9QRieqsmVec9fFwqzCTtd860cXoGRbx3xpepfcvC+Fx2tM2tlxi9ZwAZYUueodHx0s1JLD9WAe6rjyrFX5PmkeYG6ydX8K80gIGRqL8fn/LhPuIGOXsMcNwdZ2DNHQPnnG//TmSrwRiLAkZiqnkvbdhYmMpEo3xix0nAfjr9QvSNKrcY2ml0gHqH4lyYAKXuq7rPLuvCYA/lxDcWWOzaVy6RCV6n6kq7lUzBCde0rNG0zSuMbxLv9rdMOE+7zb1MhSJ4fc4RIzyLCkucLF+kfqe/tu29864337Ds5Tt+UogxpKQoZgJsQcbexgZPd3j8dyBFpp7higrdPHnq2QRP1vsNo2LFpxZQuBwSx+1HQO4HLbTtZiEGXGZEYrb9u7ESd6ir5QcTGPplSNtE1YfmvlKF84ryfrQkJV88YOLAfi/b9bTFD7du/Rucw+7jLk25WCyGTGWhIxkXmkBAa+TkWiMl4+cvrj85+u1ANywrga3Q0JDs2HdJHpLvzW8Sn+2OEiRWzRsZ8OfLQ5i0+BQS+9poYvm8BDH2vqxaXDJIvEszYYFwULWzCsmpsOv32487fV4creE4GbF+nPKWLewlJFojJ9uOzruNV3X+dp/7SMa0/nwqsq4BlY2I8aSkJFomsbHL1DiZl95ai/N4bE7xMMtvWw/1olNg5sunm/VEHMG01h6s7ZzrB+fwbPxKriqtI8r1ygucMUX6FOr4l41JANWzQkQ8Eop+2y5Zs1cAJ5+a3wobigS5U3jpkAq4WbPHYZ36fE362hJ8OJt3d3Am7VdeJ12/ukj51k1vKQixpKQsdzz4eWcV+Wno3+Ez2/ZFQ/HmV6lD51XQbWods+aldUBPE4bXQORcd6l2vZ+3m3uxWHTuHy5hOCSgVkV98IpoTjTWJIQXHK4alUVTrvGwaaeeMVWz1CEv374DRrDQ/jcDqmESwIbzinjovkljIzG+OmLyrsUHozw7WcOAipUlyvX6Kwxlr71rW+xYcMGCgoKKC4untZ7dF3n3nvvpbq6Gq/Xy2WXXcb+/fvH7TM8PMwXvvAFgsEghYWFXH311dTXT67RIaQHj9POT/9qLX6Pg7dOdnP/bw/SOxRhq3G3KIndycHlsLHhHLVI/+WD2/nHre/Q1jscF6Jcf04ZxQUuK4eYM1xmqHm/+l473QMj7D7ZxZYdJ3jREKvceI4YS8mgpNAVbzOz9a0G2nqHueHft/PG8U58bgf/cctFElZOApqmxXOXfrHjJK29Q3z/ucO0941wTnkht/7pQotHmDyyxlgaGRnh2muv5W//9m+n/Z7vfve7PPDAA/zoRz/izTffpLKykg996EP09o6pjt55551s3bqVJ554gldeeYW+vj6uuuoqotHJ2z8I6WFeWQEPXHcBAI+8WssXHt9N/0iUc8oL2SBVQ0nj29es4ooVFcR0ddG77Hsv8PArxwG4YoUk0CeL86r8hHxuBiNRLvjmc1zzk9f46tZ9dPSPUOiyc9EC8XYki08Yobhf7W7g2p++xoGmHoJFLh7/7CVcLHlhSeN9i4NcOK+Y4dEYdz/9Ttzz/82PrcTlyBoTY0o0/dQkhQznZz/7GXfeeSfd3d2T7qfrOtXV1dx55538wz/8A6C8SBUVFXznO9/hc5/7HOFwmPLych599FGuv/56ABobG6mpqeGZZ57hiiuumNaYenp6CAQChMNh/P7sL5HMRL73u3f58QtjSYT3Xb2CWzYssG5AOcobxzv51m8OxPvyaRrs+McPEvKJ7k+y+Ob/HODhV5UhWu5zs7zKz3lVfjatqJCk4yQyPBpl3bf+QHgwAsCcYi+PfeZi6bmXAl441MrfPPJm/PlVq6v40Y1rLBzR9Jnu+p2zfsjjx4/T3NzMpk2b4tvcbjeXXnopr732Gp/73OfYtWsXkUhk3D7V1dWsXLmS11577YzG0vDwMMPDw/HnPT1TNxMUZsfff2gpe+q6efW9Dgpddj6xZo7VQ8pJ1i0sZevnN/K/7zTx/710lIsXlomhlGT+4c+XcvUF1cwp9lLuc1s9nJzF7bDzsQuq+c/XT7Ckooj//PTFVAbku5wKLltSzvlzA7xdH6bAlTtJ3YnkrLHU3KzyLSoqKsZtr6io4MSJE/F9XC4XJSUlp+1jvn8i7r//fu67774kj1iYDLtN4wc3XMjX/3s/ly4tl+aXKcRm07j6/GquPr/a6qHkJG6HXTrdp4m7rljKqjkBNq2olCrDFKJpGl+76jzueGIPd16+OCeNUksDivfeey+apk362Llz56zOcWrnbl3Xp+zmPdU+99xzD+FwOP6oq6ub1RiF6VFW5ObHN63huotqrB6KIAhZgN/j5NqLasRQSgMXLSjl1bs/wLU5en221LN0++23c8MNN0y6z4IFC87q2JWVKim1ubmZqqoxjZjW1ta4t6myspKRkRG6urrGeZdaW1vZsGHDGY/tdrtxu8V9LgiCIAj5gKXGUjAYJBhMTanswoULqays5LnnnuPCCy8EVEXdiy++yHe+8x0A1q5di9Pp5LnnnuO6664DoKmpiX379vHd7343JeMSBEEQBCG7yJqcpZMnT9LZ2cnJkyeJRqPs2bMHgHPPPZeiIiWlvmzZMu6//36uueYaNE3jzjvv5Nvf/jaLFy9m8eLFfPvb36agoIAbb7wRgEAgwK233sqXvvQlysrKKC0t5a677mLVqlVcfvnlVn1UQRAEQRAyiKwxlr7+9a/z85//PP7c9Ba98MILXHbZZQAcOnSIcHisS/1XvvIVBgcH+fznP09XVxcXX3wxv//97/H5fPF9vv/97+NwOLjuuusYHBzkgx/8ID/72c+w26XfmCAIgiAIWaizlImIzpIgCIIgZB/TXb9zR15TEARBEAQhBYixJAiCIAiCMAliLAmCIAiCIEyCGEuCIAiCIAiTIMaSIAiCIAjCJIixJAiCIAiCMAliLAmCIAiCIEyCGEuCIAiCIAiTIMaSIAiCIAjCJGRNu5NMxhRB7+npsXgkgiAIgiBMF3PdnqqZiRhLSaC3txeAmpoai0ciCIIgCMJM6e3tJRAInPF16Q2XBGKxGI2Njfh8PjRNS9pxe3p6qKmpoa6uTnrOpRiZ6/Qg85weZJ7Tg8xzekjlPOu6Tm9vL9XV1dhsZ85MEs9SErDZbMydOzdlx/f7/fJDTBMy1+lB5jk9yDynB5nn9JCqeZ7Mo2QiCd6CIAiCIAiTIMaSIAiCIAjCJIixlMG43W6+8Y1v4Ha7rR5KziNznR5kntODzHN6kHlOD5kwz5LgLQiCIAiCMAniWRIEQRAEQZgEMZYEQRAEQRAmQYwlQRAEQRCESRBjSRAEQRAEYRLEWLKYn/zkJyxcuBCPx8PatWt5+eWXJ93/xRdfZO3atXg8HhYtWsRPf/rTNI00u5nJPP/qV7/iQx/6EOXl5fj9ftavX8/vfve7NI42u5npd9rk1VdfxeFwcMEFF6R2gDnCTOd5eHiYr371q8yfPx+3280555zDww8/nKbRZi8znectW7Zw/vnnU1BQQFVVFX/zN39DR0dHmkabnbz00kt89KMfpbq6Gk3T+K//+q8p35P2tVAXLOOJJ57QnU6n/uCDD+oHDhzQ77jjDr2wsFA/ceLEhPsfO3ZMLygo0O+44w79wIED+oMPPqg7nU79qaeeSvPIs4uZzvMdd9yhf+c739HfeOMN/fDhw/o999yjO51O/a233krzyLOPmc61SXd3t75o0SJ906ZN+vnnn5+ewWYxZzPPV199tX7xxRfrzz33nH78+HF9x44d+quvvprGUWcfM53nl19+WbfZbPq//uu/6seOHdNffvllfcWKFfrHP/7xNI88u3jmmWf0r371q/rTTz+tA/rWrVsn3d+KtVCMJQtZt26dftttt43btmzZMv3uu++ecP+vfOUr+rJly8Zt+9znPqdfcsklKRtjLjDTeZ6I8847T7/vvvuSPbSc42zn+vrrr9f/6Z/+Sf/GN74hxtI0mOk8//a3v9UDgYDe0dGRjuHlDDOd5+9973v6okWLxm37wQ9+oM+dOzdlY8w1pmMsWbEWShjOIkZGRti1axebNm0at33Tpk289tprE77n9ddfP23/K664gp07dxKJRFI21mzmbOb5VGKxGL29vZSWlqZiiDnD2c71I488wtGjR/nGN76R6iHmBGczz7/+9a+56KKL+O53v8ucOXNYsmQJd911F4ODg+kYclZyNvO8YcMG6uvreeaZZ9B1nZaWFp566ik+8pGPpGPIeYMVa6E00rWI9vZ2otEoFRUV47ZXVFTQ3Nw84Xuam5sn3H90dJT29naqqqpSNt5s5Wzm+VT+5V/+hf7+fq677rpUDDFnOJu5PnLkCHfffTcvv/wyDodcjqbD2czzsWPHeOWVV/B4PGzdupX29nY+//nP09nZKXlLZ+Bs5nnDhg1s2bKF66+/nqGhIUZHR7n66qv54Q9/mI4h5w1WrIXiWbIYTdPGPdd1/bRtU+0/0XZhPDOdZ5PHH3+ce++9lyeffJJQKJSq4eUU053raDTKjTfeyH333ceSJUvSNbycYSbf6VgshqZpbNmyhXXr1vHhD3+YBx54gJ/97GfiXZqCmczzgQMH+OIXv8jXv/51du3axbPPPsvx48e57bbb0jHUvCLda6HcyllEMBjEbrefdofS2tp6msVsUllZOeH+DoeDsrKylI01mzmbeTZ58sknufXWW/nlL3/J5Zdfnsph5gQzneve3l527tzJ7t27uf322wG1qOu6jsPh4Pe//z0f+MAH0jL2bOJsvtNVVVXMmTOHQCAQ37Z8+XJ0Xae+vp7FixendMzZyNnM8/3338/GjRv58pe/DMDq1aspLCzkfe97H//8z/8s3v8kYcVaKJ4li3C5XKxdu5bnnntu3PbnnnuODRs2TPie9evXn7b/73//ey666CKcTmfKxprNnM08g/IofepTn+IXv/iF5BtMk5nOtd/v55133mHPnj3xx2233cbSpUvZs2cPF198cbqGnlWczXd648aNNDY20tfXF992+PBhbDYbc+fOTel4s5WzmeeBgQFstvHLqt1uB8Y8H8LssWQtTFnquDAlZlnqQw89pB84cEC/88479cLCQr22tlbXdV2/++679Ztvvjm+v1ku+Xd/93f6gQMH9IceekikA6bBTOf5F7/4he5wOPQf//jHelNTU/zR3d1t1UfIGmY616ci1XDTY6bz3Nvbq8+dO1f/5Cc/qe/fv19/8cUX9cWLF+uf+cxnrPoIWcFM5/mRRx7RHQ6H/pOf/EQ/evSo/sorr+gXXXSRvm7dOqs+QlbQ29ur7969W9+9e7cO6A888IC+e/fuuERDJqyFYixZzI9//GN9/vz5usvl0tesWaO/+OKL8dduueUW/dJLLx23/7Zt2/QLL7xQd7lc+oIFC/R/+7d/S/OIs5OZzPOll16qA6c9brnllvQPPAuZ6Xc6ETGWps9M5/ngwYP65Zdfrnu9Xn3u3Ln63//93+sDAwNpHnX2MdN5/sEPfqCfd955utfr1auqqvSbbrpJr6+vT/Oos4sXXnhh0mtuJqyFmq6Lb1AQBEEQBOFMSM6SIAiCIAjCJIixJAiCIAiCMAliLAmCIAiCIEyCGEuCIAiCIAiTIMaSIAiCIAjCJIixJAiCIAiCMAliLAmCIAiCIEyCGEuCIOQ99957LxdccIHVwxAEIUMRUUpBEHKaqbqQ33LLLfzoRz9ieHhYGlILgjAhYiwJgpDTJHYnf/LJJ/n617/OoUOH4tu8Xi+BQMCKoQmCkCVIGE4QhJymsrIy/ggEAmiadtq2U8Nwn/rUp/j4xz/Ot7/9bSoqKiguLua+++5jdHSUL3/5y5SWljJ37lwefvjhcedqaGjg+uuvp6SkhLKyMj72sY9RW1ub3g8sCELSEWNJEARhAv74xz/S2NjISy+9xAMPPMC9997LVVddRUlJCTt27OC2227jtttuo66uDoCBgQHe//73U1RUxEsvvcQrr7xCUVERV155JSMjIxZ/GkEQZoMYS4IgCBNQWlrKD37wA5YuXcqnP/1pli5dysDAAP/4j//I4sWLueeee3C5XLz66qsAPPHEE9hsNv7jP/6DVatWsXz5ch555BFOnjzJtm3brP0wgiDMCofVAxAEQchEVqxYgc02dj9ZUVHBypUr48/tdjtlZWW0trYCsGvXLt577z18Pt+44wwNDXH06NH0DFoQhJQgxpIgCMIEOJ3Occ81TZtwWywWAyAWi7F27Vq2bNly2rHKy8tTN1BBEFKOGEuCIAhJYM2aNTz55JOEQiH8fr/VwxEEIYlIzpIgCEISuOmmmwgGg3zsYx/j5Zdf5vjx47z44ovccccd1NfXWz08QRBmgRhLgiAISaCgoICXXnqJefPm8YlPfILly5fz6U9/msHBQfE0CUKWI6KUgiAIgiAIkyCeJUEQBEEQhEkQY0kQBEEQBGESxFgSBEEQBEGYBDGWBEEQBEEQJkGMJUEQBEEQhEkQY0kQBEEQBGESxFgSBEEQBEGYBDGWBEEQBEEQJkGMJUEQBEEQhEkQY0kQBEEQBGESxFgSBEEQBEGYBDGWBEEQBEEQJuH/By+zP+OHuoakAAAAAElFTkSuQmCC", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import scipy.signal as sig\n", "import matplotlib.pyplot as plt\n", "\n", "t = np.linspace(0, 1, num=100)\n", "signal = np.sin(2 * np.pi * 5 * t)\n", "kernel = np.ones(5) / 5\n", "convolved_signal = sig.convolve(signal, kernel, mode='same')\n", "\n", "plt.plot(t, signal, label='Original signal')\n", "plt.plot(t, convolved_signal, label='Convolved signal')\n", "plt.title('Signal convolution with a moving average kernel')\n", "plt.xlabel('Time')\n", "plt.ylabel('Amplitude')\n", "plt.legend()\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "8083ad5a", "metadata": {}, "source": [ "### Example 12 - Butterworth bandpass filter -\n", "This example filters a signal with a Butterworth bandpass filter, and plots the original signal and the filtered signal.\n", "This Python code generates a signal that is a sum of two sine waves and applies a bandpass filter to it using a Butterworth filter. The code first imports the NumPy, Matplotlib, and SciPy libraries, which are used to generate, filter, and plot the signal. The linspace function from NumPy is used to generate a time array t with 100 evenly spaced values between 0 and 1. The code then generates a signal that is a sum of two sine waves with frequencies of 5 Hz and 10 Hz. The butter function from SciPy is then used to design a bandpass filter with a cutoff frequency of 0.2 Hz and 0.8 Hz and a filter order of 3. The filtfilt function from SciPy is then used to apply the filter to the signal. Finally, the code plots the original and filtered signals using the plot function from Matplotlib\n", "\n", "1. imports the NumPy library and renames it as \"np\".\n", "\n", "2. imports the signal processing module from the SciPy library and renames it as \"sig\".\n", "\n", "3. imports the Pyplot module from Matplotlib and renames it as \"plt\".\n", "\n", "4. Creates a 1-dimensional array \"t\" using NumPy's linspace function. The function generates a sequence of evenly spaced numbers between 0 and 1. The \"num\" argument specifies the number of samples in the array, which in this case is 100. This array will be used as the time axis for the signal.\n", "\n", "5. Creates a signal by adding two sine waves with frequencies of 5 Hz and 10 Hz, respectively. The sine waves are generated using NumPy's sin function, and their frequencies are specified in radians per second using the formula 2 * pi * f * t. The resulting signal is a periodic waveform that oscillates at a frequency of 5 Hz and has a higher-frequency component at 10 Hz.\n", "\n", "6. Uses the \"butter\" function from SciPy's signal processing module to design a Butterworth bandpass filter. The function takes three arguments: the filter order (3 in this case), the frequency range of the passband (0.2 to 0.8 times the Nyquist frequency, which is half the sampling rate), and the type of filter ('bandpass' in this case). The function returns the filter coefficients as two arrays, which are assigned to the variables \"b\" and \"a\". These coefficients will be used to filter the signal.\n", "\n", "7. Applies the filter to the signal using the \"filtfilt\" function from SciPy's signal processing module. The function performs zero-phase filtering, which means that it applies the filter twice, once forward and once backward, to eliminate phase distortion. The filtered signal is assigned to the variable \"filtered_signal\".\n", "\n", "8. Plots the original signal and the filtered signal using Matplotlib's \"plot\" function. The time axis \"t\" is used as the x-axis, and the signals are used as the y-axis. The \"label\" argument is used to specify the legend labels for the two signals.\n", "\n", "9. Sets the title of the plot using Matplotlib's \"title\" function.\n", "\n", "10. Sets the label of the x-axis using Matplotlib's \"xlabel\" function.\n", "\n", "11. Sets the label of the y-axis using Matplotlib's \"ylabel\" function.\n", "\n", "12. Adds a legend to the plot using Matplotlib's \"legend\" function.\n", "\n", "13. Displays the plot using Matplotlib's \"show\" function." ] }, { "cell_type": "code", "execution_count": 14, "id": "e474ceef", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import scipy.signal as sig\n", "import matplotlib.pyplot as plt\n", "\n", "t = np.linspace(0, 1, num=100)\n", "signal = np.sin(2 * np.pi * 5 * t) + np.sin(2 * np.pi * 10 * t)\n", "b, a = sig.butter(3, [0.2, 0.8], 'bandpass')\n", "filtered_signal = sig.filtfilt(b, a, signal)\n", "\n", "plt.plot(t, signal, label='Original signal')\n", "plt.plot(t, filtered_signal, label='Filtered signal')\n", "plt.title('Signal filtering with a Butterworth bandpass filter')\n", "plt.xlabel('Time')\n", "plt.ylabel('Amplitude')\n", "plt.legend()\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "c0a9f405", "metadata": {}, "source": [ "### Example 13 - High Pass Filter design -\n", "This example designs a Butterworth highpass filter, calculates its frequency response, and plots the result.\n", "This Python code designs a highpass Butterworth filter with a cutoff frequency of 0.2 and plots its frequency response. The code first imports the NumPy, Matplotlib, and SciPy libraries, which are used to design and plot the filter. The butter function from SciPy is then used to design a highpass filter with a cutoff frequency of 0.2 Hz and a filter order of 3. The freqz function from SciPy is then used to compute the frequency response of the filter. Finally, the code plots the magnitude response of the filter using the plot function from Matplotlib\n", "This Python code demonstrates the use of the NumPy, SciPy, and Matplotlib libraries to plot the frequency response of a Butterworth highpass filter.\n", "\n", "1. imports the NumPy library and renames it as \"np\".\n", "\n", "2. imports the signal processing module from the SciPy library and renames it as \"sig\".\n", "\n", "3. imports the Pyplot module from Matplotlib and renames it as \"plt\".\n", "\n", "4. Uses the \"butter\" function from SciPy's signal processing module to design a Butterworth highpass filter. The function takes three arguments: the filter order (3 in this case), the cutoff frequency of the filter (0.2 in this case, specified as a fraction of the Nyquist frequency), and the type of filter ('highpass' in this case). The function returns the filter coefficients as two arrays, which are assigned to the variables \"b\" and \"a\".\n", "\n", "5. Uses the \"freqz\" function from SciPy's signal processing module to compute the frequency response of the filter. The function takes the filter coefficients \"b\" and \"a\" as arguments and returns the frequency response as two arrays, which are assigned to the variables \"w\" and \"h\". The \"w\" array contains the frequencies (in radians per sample) at which the frequency response is computed, and the \"h\" array contains the complex values of the frequency response.\n", "\n", "6. Clips the values of \"h\" that are smaller than the machine epsilon (the smallest representable positive number for the given floating-point data type). This is done to avoid division by zero in the next step.\n", "\n", "7. Computes the magnitude of the frequency response in decibels using the formula 20*log10(|H(w)|), where |H(w)| is the absolute value of the complex frequency response. The result is assigned to the variable \"db\".\n", "\n", "8. Plots the frequency response using Matplotlib's \"plot\" function. The \"w\" array is used as the x-axis, and the \"db\" array is used as the y-axis.\n", "\n", "9. Sets the title of the plot using Matplotlib's \"title\" function.\n", "\n", "10. Sets the label of the x-axis using Matplotlib's \"xlabel\" function.\n", "\n", "11. Sets the label of the y-axis using Matplotlib's \"ylabel\" function.\n", "\n", "12. Displays the plot using Matplotlib's \"show\" function." ] }, { "cell_type": "code", "execution_count": 15, "id": "24d58cc2", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import scipy.signal as sig\n", "import matplotlib.pyplot as plt\n", "\n", "b, a = sig.butter(3, 0.2, 'highpass')\n", "w, h = sig.freqz(b, a)\n", "\n", "h[np.abs(h) < np.finfo(float).eps] = np.finfo(float).eps # avoid division by zero\n", "db = 20 * np.log10(np.abs(h))\n", "\n", "plt.plot(w, db)\n", "plt.title('Frequency response of a Butterworth highpass filter')\n", "plt.xlabel('Frequency (rad/sample)')\n", "plt.ylabel('Amplitude (dB)')\n", "plt.show()\n", "\n", "\n", "\n", "\n" ] }, { "cell_type": "markdown", "id": "fbd1a243", "metadata": {}, "source": [ "### Example 14 - Other filters -\n", "This Python code demonstrates the use of the NumPy, SciPy, and Matplotlib libraries to filter a signal using a median filter https://en.wikipedia.org/wiki/Median_filter.\n", "\n", "1. imports the NumPy library and renames it as \"np\".\n", "\n", "2. imports the signal processing module from the SciPy library and renames it as \"sig\".\n", "\n", "3. imports the Pyplot module from Matplotlib and renames it as \"plt\".\n", "\n", "4. Uses the \"linspace\" function from NumPy to generate a sequence of 100 equally spaced time points between 0 and 1, inclusive. The sequence is assigned to the variable \"t\".\n", "\n", "5. Generates a signal by summing two sine waves with frequencies of 5 and 10 Hz, respectively, and amplitudes of 1. The signal is assigned to the variable \"signal\".\n", "\n", "6. Applies a median filter to the signal using the \"medfilt\" function from SciPy's signal processing module. The function takes two arguments: the signal to be filtered (\"signal\" in this case), and the size of the median filter window (5 in this case, which means that the median is computed over 5 samples at a time). The filtered signal is assigned to the variable \"filtered_signal\".\n", "\n", "7. Plots the original signal and the filtered signal using Matplotlib's \"plot\" function. The \"t\" array is used as the x-axis, and the \"signal\" and \"filtered_signal\" arrays are used as the y-axis for the original and filtered signals, respectively. The \"label\" argument is used to provide a legend for the plot.\n", "\n", "8. Sets the title of the plot using Matplotlib's \"title\" function.\n", "\n", "9. Sets the label of the x-axis using Matplotlib's \"xlabel\" function.\n", "\n", "10. Sets the label of the y-axis using Matplotlib's \"ylabel\" function.\n", "\n", "11. Creates a legend for the plot using Matplotlib's \"legend\" function.\n", "\n", "12. Displays the plot using Matplotlib's \"show\" function." ] }, { "cell_type": "code", "execution_count": 16, "id": "27137d96", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import scipy.signal as sig\n", "import matplotlib.pyplot as plt\n", "\n", "t = np.linspace(0, 1, num=100)\n", "signal = np.sin(2 * np.pi * 5 * t) + np.sin(2 * np.pi * 10 * t)\n", "filtered_signal = sig.medfilt(signal, kernel_size=5)\n", "\n", "plt.plot(t, signal, label='Original signal')\n", "plt.plot(t, filtered_signal, label='Filtered signal')\n", "plt.title('Signal filtering with a median filter')\n", "plt.xlabel('Time')\n", "plt.ylabel('Amplitude')\n", "plt.legend()\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "f3e0beac", "metadata": {}, "source": [ "### Example 15 - Analog filter - \n", "This Python code uses the SciPy library to design and plot the frequency response of an analog bandpass Chebyshev type II filter https://en.wikipedia.org/wiki/Chebyshev_filter.\n", "\n", "Here is an explanation of the code line by line:\n", "\n", "1. *import numpy as np*: Import the NumPy library with the alias np.\n", "2. *import scipy.signal as sig*: Import the SciPy signal processing module with the alias sig.\n", "3. *import matplotlib.pyplot as plt*: Import the pyplot module of the Matplotlib library with the alias plt.\n", "4. *wp = 0.2*: Set the passband edge frequency to 0.2, which is a normalized frequency (ranging from 0 to 1) that specifies the frequency at which the filter's gain is 3 dB less than its maximum value in the passband.\n", "5. *ws = 0.8*: Set the stopband edge frequency to 0.8, which is a normalized frequency that specifies the frequency at which the filter's gain is 3 dB or more less than its maximum value in the passband.\n", "6. *rs = 60*: Set the stopband attenuation to 60 dB, which is a measure of how much the filter's gain is reduced in the stopband relative to the passband.\n", "7. *b, a = sig.iirfilter(3, [wp, ws], rp=None, rs=rs, btype='bandpass', ftype='cheby2')*: Use the iirfilter function of the sig module to design a third-order Chebyshev type II bandpass filter with passband edge frequency wp, stopband edge frequency ws, stopband attenuation rs, band type 'bandpass', and filter type 'cheby2'. The function returns the filter coefficients b and a, which are used to compute the frequency response of the filter in the next line.\n", "8. *w, h = sig.freqz(b, a)*: Use the freqz function of the sig module to compute the frequency response of the filter with coefficients b and a. The function returns the normalized frequency w (ranging from 0 to pi) and the complex frequency response h.\n", "9. *plt.plot(w, 20 * np.log10(np.abs(h)))*: Plot the frequency response of the filter as a function of the normalized frequency w using Matplotlib's plot function. The y-axis is converted from the linear scale to the logarithmic scale in decibels (dB) using the formula 20 * log10(abs(h)), where abs(h) is the magnitude of the frequency response.\n", "10. *plt.title('Frequency response of analog filter')*: Set the title of the plot to 'Frequency response of analog filter'.\n", "11. *plt.xlabel('Normalized frequency')*: Set the label of the x-axis to 'Normalized frequency'.\n", "12. *plt.ylabel('Gain [dB]')*: Set the label of the y-axis to 'Gain [dB]'.\n", "13. *plt.grid()*: Add a grid to the plot.\n", "14. *plt.show()*: Display the plot." ] }, { "cell_type": "code", "execution_count": 17, "id": "d1bb629f", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import scipy.signal as sig\n", "import matplotlib.pyplot as plt\n", "\n", "wp = 0.2\n", "ws = 0.8\n", "rs = 60\n", "b, a = sig.iirfilter(3, [wp, ws], rp=None, rs=rs, btype='bandpass', ftype='cheby2')\n", "w, h = sig.freqz(b, a)\n", "\n", "plt.plot(w, 20 * np.log10(np.abs(h)))\n", "plt.title('Frequency response of analog filter')\n", "plt.xlabel('Normalized frequency')\n", "plt.ylabel('Gain [dB]')\n", "plt.grid()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "d2f69c31", "metadata": {}, "source": [ "### Example 16 - Periodogram measurements (Welch's method) -\n", "This example computes the power spectral density of a signal using Welch's method and plots the result.\n", "1. *import numpy as np*: Import the NumPy library and alias it as \"np\" for convenience.\n", "2. *import scipy.signal as sig*: Import the SciPy signal processing module and alias it as \"sig\" for convenience.\n", "3. *import matplotlib.pyplot as plt*: Import the Matplotlib library and alias it as \"plt\" for convenience, which is used for plotting.\n", "4. *t = np.linspace(0, 1, 1000)*: Generate a 1-second time vector with 1000 evenly spaced points between 0 and 1.\n", " signal = np.sin(2 * np.pi * 10 * t) + 0.5 * np.sin(2 * np.pi * 20 * t): Create a time-domain signal that consists of a sine wave with a frequency of 10 Hz and a smaller amplitude sine wave with a frequency of 20 Hz.\n", "5. *f, p = sig.welch(signal, fs=100, window='hann', nperseg=256, noverlap=128)*: Compute the Welch's method periodogram of the signal, which is a power spectral density estimate obtained by averaging modified periodograms of the signal segments with overlapping windows. fs is the sampling frequency, window is the window function applied to each segment, nperseg is the length of each segment, and noverlap is the number of points of overlap between segments. This returns the frequency vector f and the corresponding power spectral density vector p.\n", "6. *plt.plot(f, p)*: Plot the power spectral density estimate against the frequency vector.\n", "7. *plt.title(\"Welch's method periodogram\")*: Add a title to the plot.\n", "8. *plt.xlabel('Frequency')*: Add a label to the x-axis.\n", "9. *plt.ylabel('Power spectral density')*: Add a label to the y-axis.\n", "10. *plt.grid()*: Add grid lines to the plot.\n", "11. *plt.show()*: Display the plot." ] }, { "cell_type": "code", "execution_count": 18, "id": "f916b294", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import scipy.signal as sig\n", "import matplotlib.pyplot as plt\n", "\n", "t = np.linspace(0, 1, 1000)\n", "signal = np.sin(2 * np.pi * 10 * t) + 0.5 * np.sin(2 * np.pi * 20 * t)\n", "\n", "f, p = sig.welch(signal, fs=100, window='hann', nperseg=256, noverlap=128)\n", "\n", "plt.plot(f, p)\n", "plt.title(\"Welch's method periodogram\")\n", "plt.xlabel('Frequency')\n", "plt.ylabel('Power spectral density')\n", "plt.grid()\n", "plt.show()\n", "\n" ] }, { "cell_type": "markdown", "id": "dcf59f10", "metadata": {}, "source": [ "### Example 17 - Lomb-Scargle periodograms -\n", "This example computes the Lomb-Scargle periodogram https://en.wikipedia.org/wiki/Least-squares_spectral_analysis#The_Lomb.E2.80.93Scargle_periodogram of a signal and plots the result.\n", "This code generates a Lomb-Scargle periodogram for a signal consisting of two sinusoids with frequencies 10 Hz and 20 Hz. Here's a breakdown of the code line by line:\n", "\n", "1. *import numpy as np*: Imports the NumPy library, which provides support for numerical operations on arrays and matrices.\n", "2. *import scipy.signal as sig*: Imports the SciPy library, which provides a variety of signal processing functions.\n", "3. *import matplotlib.pyplot as plt*: Imports the Matplotlib library, which provides functions for creating visualizations of data.\n", "4. *t = np.linspace(0, 1, 1000)*: Creates an array of 1000 evenly spaced time values between 0 and 1.\n", "5. *signal = np.sin(2 * np.pi * 10 * t) + 0.5 * np.sin(2 * np.pi * 20 * t): Creates a signal consisting of two sinusoids with frequencies 10 Hz and 20 Hz, respectively. The sin function is applied to each frequency and the resulting signals are added together.\n", "6. *f = np.linspace(1, 30, 1000)*: Creates an array of 1000 evenly spaced frequencies between 1 and 30 Hz.\n", "7. *p = sig.lombscargle(t, signal, 2 * np.pi * f)*: Calculates the Lomb-Scargle periodogram for the input signal signal. The function lombscargle computes the Lomb-Scargle periodogram, which is a frequency analysis method for irregularly sampled data. The inputs to the function are the time values t, the signal signal, and the frequencies f multiplied by 2*pi to convert them to radians.\n", "8. *plt.plot(f, p)*: Plots the Lomb-Scargle periodogram. The frequency values are on the x-axis and the power values are on the y-axis.\n", "9. *plt.title(\"Lomb-Scargle periodogram\")*: Sets the title of the plot to \"Lomb-Scargle periodogram\".\n", "10. *plt.xlabel('Frequency')*: Sets the label of the x-axis to \"Frequency\".\n", "11. *plt.ylabel('Power')*: Sets the label of the y-axis to \"Power\".\n", "12. *plt.grid()*: Adds a grid to the plot.\n", "13. *plt.show()*: Displays the plot." ] }, { "cell_type": "code", "execution_count": 19, "id": "c9896933", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import scipy.signal as sig\n", "import matplotlib.pyplot as plt\n", "\n", "t = np.linspace(0, 1, 1000)\n", "signal = np.sin(2 * np.pi * 10 * t) + 0.5 * np.sin(2 * np.pi * 20 * t)\n", "\n", "f = np.linspace(1, 30, 1000)\n", "p = sig.lombscargle(t, signal, 2 * np.pi * f)\n", "\n", "plt.plot(f, p)\n", "plt.title(\"Lomb-Scargle periodogram\")\n", "plt.xlabel('Frequency')\n", "plt.ylabel('Power')\n", "plt.grid()\n", "plt.show()\n", "\n" ] }, { "cell_type": "markdown", "id": "0311f524", "metadata": {}, "source": [ "### Example 18 - Discrete Cosine Transform -\n", "This code generates a discrete cosine transform (DCT) https://en.wikipedia.org/wiki/Discrete_cosine_transform plot for a given signal.\n", "The resulting plot shows the amplitude of each DCT coefficient, with the x-axis representing the index of each coefficient and the y-axis representing its amplitude. Since the signal has two frequency components, there are two non-zero coefficients in the DCT plot. The first coefficient corresponds to the DC component of the signal, while the second coefficient corresponds to the 20 Hz component of the signal.\n", "Here's how it works:\n", "\n", "1. The numpy library is imported as np and the scipy.fftpack library is imported as fft.\n", "\n", "2. A time vector t is created using numpy's linspace() function. This vector contains 1000 evenly spaced values between 0 and 1.\n", "\n", "3. A signal is generated by adding two sine waves together: one with a frequency of 10 Hz and another with a frequency of 20 Hz. The resulting signal is stored in the variable signal.\n", "\n", "4. The DCT of the signal is computed using fft.dct(). The type argument is set to 2 to indicate the use of the inverse DCT algorithm, which generates a type-II DCT.\n", "\n", "5. The resulting DCT coefficients are stored in the variable C.\n", "\n", "6. The matplotlib library is used to create a plot of the DCT coefficients. The plot() function is called with the C variable as its argument. The plot is labeled with a title, axis labels, and a grid.\n", "\n", "7. Finally, the plot is displayed using the show() function." ] }, { "cell_type": "code", "execution_count": 20, "id": "4f8c8771", "metadata": {}, "outputs": [ { "data": { "image/png": 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x+vOf/6y9e/fq0UcfVVxcXI2WDE939OhRpaSkaNiwYWrbtq1CQ0OVk5OjDz/8sMqZwHJt2rTRX//6V2VmZsrHx0f9+/d3XK2WkJCg+++/v66HCdQLwhHgIXfeeaeksnMlGjZsqHbt2unBBx/UX/7yl2qDkVR2YnBWVpZmzJihvLw8NWjQQElJSVq+fLlSU1MlSX5+flqxYoUyMjL0xhtvaNGiRQoNDdWll16qfv36nXF87du3V25urh599FE9/PDDys/PV8OGDdW6dWvHeUdS2SzTSy+9pJkzZyo1NVU2m00zZsxQenq6UlJS9OWXX2r27NmaNGmSCgoK1KhRI7Vv315Dhw494xhatWql3NxcZWZmatmyZVq8eLGKiooUFxena6+9VmvXrnXcHTs5OVmrVq3SjBkzNGrUKNntdl166aVavny5Bg0a5Nhnr169tHz5ci1cuFDHjx9XkyZNNGLECJfNZsTFxemrr77So48+qn/84x/at2+fQkNDlZiYqH79+rltNunOO+9Ufn6+nnnmGb300ktq2bKlpk6dqn379mnmzJm13l9gYKC6du2qV155Rbt27ZLNZlOzZs304IMP6oEHHjjj8xcvXqxWrVrpxRdf1FNPPaXw8HD169dPGRkZlZ7vBJzL+PoQAAAAE65WAwAAMCEcAQAAmBCOAAAATAhHAAAAJoQjAAAAE8IRAACACfc5qgO73a79+/crNDSU2+ADAOAlDMPQsWPHzvg9lISjOti/f78SEhLqexgAAKAO9u7dW+2d6wlHdRAaGiqprLhhYWEu26/NZlNWVpZSU1Pl7+/vsv3CGXX2HGrtGdTZM6izZ7izzoWFhUpISHD8O14VwlEdlC+lhYWFuTwcBQcHKywsjF88N6LOnkOtPYM6ewZ19gxP1PlMp8RwQjYAAIAJ4QgAAMCEcAQAAGBCOAIAADAhHAEAAJgQjgAAAEwIRwAAACaEIwAAABPCEQAAgAnhCAAAwIRwBAAAYEI4AgAAMCEceZkTxaX1PQQAAM5rhCMv8sVPh9TukQ+V8cG2+h4KAADnLcKRF5m9oiwUPbvmp3oeCQAA5y/CEQAAgAnhCAAAwIRwBAAAYEI4AgAAMCEcAQAAmBCOAAAATAhHAAAAJoQjAAAAE8IRAACACeEIAADAhHAEAABg4lXh6Oeff9Ydd9yhRo0aKTg4WJdddpk2bNjg2G4YhtLT0xUfH6+goCD17NlT3377rdM+ioqKNGHCBEVFRSkkJESDBw/Wvn37PH0odWKp7wEAAHAB8JpwVFBQoB49esjf318ffPCBtm7dqvnz56thw4aOPnPnztWCBQv05JNPKicnR7GxserTp4+OHTvm6DNp0iQtW7ZMb775ptauXavffvtNgwYNUmlpaT0cVe0Y9T0AAAAuAH71PYCa+vvf/66EhAQtWbLE0daiRQvHnw3D0KJFizR9+nTdeOONkqSXX35ZMTExev311zVmzBgdPXpUL774ol555RX17t1bkvTqq68qISFBH3/8sfr27evRYwIAAOcerwlHy5cvV9++fXXzzTdrzZo1atKkicaOHavRo0dLknbu3Km8vDylpqY6nmO1WpWcnKx169ZpzJgx2rBhg2w2m1Of+Ph4JSUlad26dVWGo6KiIhUVFTkeFxYWSpJsNptsNpvLjrF8X1Xu0zAq9EXtnbHOcBlq7RnU2TOos2e4s8413afXhKOffvpJixcvVlpamh566CF9+eWXmjhxoqxWq0aMGKG8vDxJUkxMjNPzYmJitHv3bklSXl6eAgICFBERUaFP+fMrk5GRoZkzZ1Zoz8rKUnBw8NkeWgXZ2dmVthcc8VX5mUcrVqxw+eteaKqqM1yPWnsGdfYM6uwZ7qjz8ePHa9TPa8KR3W5Xly5dNGfOHElSp06d9O2332rx4sUaMWKEo5/F4nzasmEYFdpOd6Y+06ZNU1pamuNxYWGhEhISlJqaqrCwsLocTqVsNpuys7PVp08f+fv7V9j+wp7Ptff3slmrAQMGuOx1LzRnqjNch1p7BnX2DOrsGe6sc/nKz5l4TTiKi4tT+/btndratWunt99+W5IUGxsrqWx2KC4uztEnPz/fMZsUGxur4uJiFRQUOM0e5efnq3v37lW+ttVqldVqrdDu7+/vll+QqvbrYwpw/GKePXe9f6iIWnsGdfYM6uwZ7qhzTffnNVer9ejRQ9u3b3dq27Fjh5o3by5JSkxMVGxsrNM0XHFxsdasWeMIPp07d5a/v79TnwMHDmjLli3VhqNzBVerAQDgfl4zc3T//fere/fumjNnjoYOHaovv/xSzz33nJ577jlJZctpkyZN0pw5c9S6dWu1bt1ac+bMUXBwsIYNGyZJCg8P1913363JkyerUaNGioyM1JQpU9ShQwfH1WsAAODC5jXh6IorrtCyZcs0bdo0zZo1S4mJiVq0aJFuv/12R58HHnhAJ06c0NixY1VQUKCuXbsqKytLoaGhjj4LFy6Un5+fhg4dqhMnTui6667T0qVL5evrWx+HVSvcBBIAAPfzmnAkSYMGDdKgQYOq3G6xWJSenq709PQq+wQGBiozM1OZmZluGKF7sawGAID7ec05RwAAAJ5AOPIiLKsBAOB+hCMAAAATwhEAAIAJ4QgAAMCEcAQAAGBCOAIAADAhHAEAAJgQjgAAAEwIRwAAACaEIwAAABPCEQAAgAnhCAAAwIRwBAAAYEI4AgAAMCEcAQAAmBCOAAAATAhHAAAAJoQjAAAAE8IRAACACeEIAADAhHAEAABgQjgCAAAwIRwBAACYEI4AAABMCEcAAAAmhCMAAAATwhEAAIAJ4QgAAMCEcAQAAGBCOPImFkt9jwAAgPMe4QgAAMCEcAQAAGBCOAIAADAhHAEAAJgQjgAAAEwIRwAAACaEIwAAABPCEQAAgAnhCAAAwIRwBAAAYOK14SgjI0MWi0WTJk1ytBmGofT0dMXHxysoKEg9e/bUt99+6/S8oqIiTZgwQVFRUQoJCdHgwYO1b98+D48eAACcq7wyHOXk5Oi5555Tx44dndrnzp2rBQsW6Mknn1ROTo5iY2PVp08fHTt2zNFn0qRJWrZsmd58802tXbtWv/32mwYNGqTS0lJPHwYAADgHeV04+u2333T77bfr+eefV0REhKPdMAwtWrRI06dP14033qikpCS9/PLLOn78uF5//XVJ0tGjR/Xiiy9q/vz56t27tzp16qRXX31Vmzdv1scff1xfhwQAAM4hXheOxo0bp4EDB6p3795O7Tt37lReXp5SU1MdbVarVcnJyVq3bp0kacOGDbLZbE594uPjlZSU5OgDAAAubH71PYDaePPNN5Wbm6ucnJwK2/Ly8iRJMTExTu0xMTHavXu3o09AQIDTjFN5n/LnV6aoqEhFRUWOx4WFhZIkm80mm81Wt4OpRPm+qtqnYdgr9EXtnanOcB1q7RnU2TOos2e4s8413afXhKO9e/fqvvvuU1ZWlgIDA6vsZ7FYnB4bhlGh7XRn6pORkaGZM2dWaM/KylJwcPAZRl572dnZlbYfPeIrqWycK1ascPnrXmiqqjNcj1p7BnX2DOrsGe6o8/Hjx2vUz2vC0YYNG5Sfn6/OnTs72kpLS/Xpp5/qySef1Pbt2yWVzQ7FxcU5+uTn5ztmk2JjY1VcXKyCggKn2aP8/Hx17969yteeNm2a0tLSHI8LCwuVkJCg1NRUhYWFuewYbTabsrOz1adPH/n7+1fY/uLez6XfymatBgwY4LLXvdCcqc5wHWrtGdTZM6izZ7izzuUrP2fiNeHouuuu0+bNm53a7rzzTrVt21YPPvigWrZsqdjYWGVnZ6tTp06SpOLiYq1Zs0Z///vfJUmdO3eWv7+/srOzNXToUEnSgQMHtGXLFs2dO7fK17ZarbJarRXa/f393fILUtV+LRYfpz44O+56/1ARtfYM6uwZ1Nkz3FHnmu7Pa8JRaGiokpKSnNpCQkLUqFEjR/ukSZM0Z84ctW7dWq1bt9acOXMUHBysYcOGSZLCw8N19913a/LkyWrUqJEiIyM1ZcoUdejQocIJ3gAA4MLkNeGoJh544AGdOHFCY8eOVUFBgbp27aqsrCyFhoY6+ixcuFB+fn4aOnSoTpw4oeuuu05Lly6Vr69vPY4cAACcK7w6HK1evdrpscViUXp6utLT06t8TmBgoDIzM5WZmenewQEAAK/kdfc5AgAAcCfCEQAAgAnhCAAAwIRwBAAAYEI4AgAAMCEcAQAAmBCOAAAATAhHAAAAJoQjL2Kp7wEAAHABIBx5EaO+BwAAwAWAcAQAAGBCOPIiLKsBAOB+hCMvwrIaAADuRzgCAAAwIRx5EZbVAABwP8KRF2FZDQAA9yMcAQAAmBCOvAjLagAAuB/hyIuwrAYAgPsRjgAAAEwIR16EZTUAANyPcAQAAGBCODrPlNoNfbI9X4d/L67voQAA4JUIR+eZ17/YrTuX5GjgE5/V91AAAPBKhKPzzIrNeZKkA0dP1vNIAADwToQjAAAAE8IRAACACeEIAADAhHAEAABgQjgCAAAwIRwBAACYEI4AAABMCEfnGUNGfQ8BAACvRjjyEgePFWnT3iP1PQwAAM57hCMv8eSq7+t7CAAAXBAIR16iuJTlMgAAPIFwBAAAYEI4AgAAMCEcAQAAmBCOAAAATAhHAAAAJoQjL2UYXL0GAIA7eE04ysjI0BVXXKHQ0FBFR0dryJAh2r59u1MfwzCUnp6u+Ph4BQUFqWfPnvr222+d+hQVFWnChAmKiopSSEiIBg8erH379nnyUFyiqmxEZgIA4Ox4TThas2aNxo0bp88//1zZ2dkqKSlRamqqfv/9d0efuXPnasGCBXryySeVk5Oj2NhY9enTR8eOHXP0mTRpkpYtW6Y333xTa9eu1W+//aZBgwaptLS0Pg4LAACcY/zqewA19eGHHzo9XrJkiaKjo7VhwwZde+21MgxDixYt0vTp03XjjTdKkl5++WXFxMTo9ddf15gxY3T06FG9+OKLeuWVV9S7d29J0quvvqqEhAR9/PHH6tu3r8ePq66YIAIAwD28ZubodEePHpUkRUZGSpJ27typvLw8paamOvpYrVYlJydr3bp1kqQNGzbIZrM59YmPj1dSUpKjj7fgnCMAANzDa2aOzAzDUFpamq6++molJSVJkvLy8iRJMTExTn1jYmK0e/duR5+AgABFRERU6FP+/MoUFRWpqKjI8biwsFCSZLPZZLPZzv6ATinfV2X7tNvtFfoa9orZ1hyaXDm280l1dYZrUWvPoM6eQZ09w511ruk+vTIcjR8/Xt98843Wrl1bYZvFYnF6bBhGhbbTnalPRkaGZs6cWaE9KytLwcHBNRx1zWVnZ1do27vHR+aJvg8++FC+lcz7HTrkK6nsWFasWOHysZ1PKqsz3INaewZ19gzq7BnuqPPx48dr1M/rwtGECRO0fPlyffrpp2ratKmjPTY2VlLZ7FBcXJyjPT8/3zGbFBsbq+LiYhUUFDjNHuXn56t79+5Vvua0adOUlpbmeFxYWKiEhASlpqYqLCzMZcdms9mUnZ2tPn36yN/f32nbuv9slfL/uKqub79+CvCrmI5ePZCjH48VSJIGDBjgsrGdT6qrM1yLWnsGdfYM6uwZ7qxz+crPmXhNODIMQxMmTNCyZcu0evVqJSYmOm1PTExUbGyssrOz1alTJ0lScXGx1qxZo7///e+SpM6dO8vf31/Z2dkaOnSoJOnAgQPasmWL5s6dW+VrW61WWa3WCu3+/v5u+QWpbL8+Pj4V+1QSjswzYPzyVs9d7x8qotaeQZ09gzp7hjvqXNP9eU04GjdunF5//XX95z//UWhoqOMcofDwcAUFBclisWjSpEmaM2eOWrdurdatW2vOnDkKDg7WsGHDHH3vvvtuTZ48WY0aNVJkZKSmTJmiDh06OK5e8xYG16sBAOAWXhOOFi9eLEnq2bOnU/uSJUs0atQoSdIDDzygEydOaOzYsSooKFDXrl2VlZWl0NBQR/+FCxfKz89PQ4cO1YkTJ3Tddddp6dKl8vX19dShuAQXqwEA4B5eE45qcum6xWJRenq60tPTq+wTGBiozMxMZWZmunB0AADgfOG19zkCAABwB8KRl2JZDQAA9yAceQFbqV1vfLnHqa3KE7IJTQAAnBXCkRdYsflAfQ8BAIALBuHIC/xWVFKhjWU1AADcg3DkpchGAAC4B+EIAADApE7h6MiRI3rhhRc0bdo0HT58WJKUm5urn3/+2aWDQ9Vqct8nAABQe7W+CeQ333yj3r17Kzw8XLt27dLo0aMVGRmpZcuWaffu3frXv/7ljnHiNEQjAADco9YzR2lpaRo1apS+//57BQYGOtr79++vTz/91KWDAwAA8LRah6OcnByNGTOmQnuTJk0cXwYL96tqVY0vpAUA4OzUOhwFBgaqsLCwQvv27dvVuHFjlwwKzjbvO1qxkQwEAIBb1Doc/elPf9KsWbNks9kklX3Z6549ezR16lTddNNNLh/ghe7X34r0Zs7e+h4GAAAXjFqHo3nz5ungwYOKjo7WiRMnlJycrIsuukihoaGaPXu2O8Z4Qfu54ESl7SyfAQDgHrW+Wi0sLExr167VqlWrlJubK7vdrssvv1y9e/d2x/hQBa7kBwDAPWodjsr16tVLvXr1cuVYUAtkIwAA3KNG4eiJJ56o8Q4nTpxY58GgosPHi+t7CAAAXFBqFI4WLlzo9PjgwYM6fvy4GjZsKKnsjtnBwcGKjo4mHLmQYRi6c0lOldsAAIDr1eiE7J07dzp+Zs+ercsuu0zbtm3T4cOHdfjwYW3btk2XX365Hn30UXeP94JSYq86ABGNAABwj1pfrfa3v/1NmZmZatOmjaOtTZs2WrhwoR5++GGXDu5CZyu11/cQAAC44NQ6HB04cMBxjyOz0tJS/fLLLy4ZFMoMfvL/VbmtyjtkM6UEAMBZqXU4uu666zR69Gh99dVXjvNevvrqK40ZM4bL+V3IMAz9kP9b1dtZWAMAwC1qHY5eeuklNWnSRFdeeaUCAwNltVrVtWtXxcXF6YUXXnDHGC9IY1/Lre8hAABwQar1fY4aN26sFStWaMeOHfruu+9kGIbatWuniy++2B3juyB9sCVPH2w5w5f4VjJxZBiGvtpd4PTYYrG4eHQAAJzf6nwTyIsvvphA5GJ7C47rvvV+0vpvzti3skW1T7bnO/cxJLIRAAC1U+twdNddd1W7/aWXXqrzYC50f31l41k9f/2Ph5we2w1DPiIdAQBQG7UORwUFBU6PbTabtmzZoiNHjvB1Imfph4O/17hvZVelnb6ExinbAADUXq3D0bJlyyq02e12jR07Vi1btnTJoHBmNblajcv6AQCovVpfrVbpTnx8dP/991f4mhHULzvpCACAWnNJOJKkH3/8USUlJa7aHc6A3AMAgHvUelktLS3N6bFhGDpw4IDef/99jRw50mUDQ/Vqko0IUAAA1F6tw9HGjc5XVPn4+Khx48aaP3/+Ga9kg+sYNUg+LKsBAFB7tQ5Hn3zyiTvGATcgGgEAUHu1PueoV69eOnLkSIX2wsJCLuX3oJpMCjFzBABA7dU6HK1evVrFxcUV2k+ePKnPPvvMJYOCa5CNAACovRovq33zzR9fabF161bl5f3x3V+lpaX68MMP1aRJE9eODrWy69fTbiJJOAIAoNZqHI4uu+wyWSwWWSyWSpfPgoKClJmZ6dLBoWqnzwr9fOSEsrb+4tTGshoAALVX43C0c+dOGYahli1b6ssvv1Tjxo0d2wICAhQdHS1fX1+3DBIVnX6H7A27CyrpAwAAaqvG4ah58+aSyr4qBN6BmSMAAGqvRuFo+fLl6t+/v/z9/bV8+fJq+w4ePNglA0P1apJ7yEYAANRejcLRkCFDlJeXp+joaA0ZMqTKfhaLRaWlpa4aG6pxeu6x2ysmoZp8OS0AAHBWo3BkXkpjWe3cdMJWMZQycwQAQO257Itnvc3TTz+txMREBQYGqnPnzl53jybz14eU2g1Ne2dzJX08OSIAAM4PNZo5euKJJ2q8w4kTJ9Z5MJ7y1ltvadKkSXr66afVo0cPPfvss+rfv7+2bt2qZs2a1ffwasSce3b++lsVfUhHAADUVo3C0cKFC2u0M4vF4hXhaMGCBbr77rv1l7/8RZK0aNEiffTRR1q8eLEyMjLqeXS1t6/gRKXtlZyGBAAAzqBG4Wjnzp3uHofHFBcXa8OGDZo6dapTe2pqqtatW1fpc4qKilRUVOR4XFhYKEmy2Wyy2WzuG2w1rpu/RqGBfvK1WHTkROVj6PH4KoUG+pVd0m8KSuV/9PWxyNdiUalhqKTUXiFMBfj5KCzQTwG+Pio1DJXaDZXYy/5bajdksUg+Fot8LBZZVHbrgFLDkN0uldgN2Q1DhmGU3TxUkixlJ44bKlsKtBs61eeP17RYnJcD/X0tCvDzkXGqb/nzSmuZ/Px8LPL1scjPp2y8paW+mvXN6rLHp7b5OI6nLOj7Wsq3SRaVtcvyx58tlj+e08Dq52gzL3kaZU+RxWKRpLJ9nPY+lHe3WP7oazH1Me/PvK38OdIfQbiybeb9n77UajGPp4ptlS3PVvc8M8Mw9MsvPvrg6CZHDWrrjxrW7DVLT32mAv19HJ/VAD8fFZXYHe9/cald/r4+Moyyz3SAr49spXZZLGWfkaISu/x9y17QVlr2/FJ72efZ71RfX4t5XxbH59nfx0c2u10+pz5DxaVlryuV/V74+1rK9qWyz6Wt1JCvT9n7WmI35OdjKfu9OLW9xG7IorLPWfn28t8hf9+yNsNu6OBBH/23IFe+Pj5lF8ec6lt62u9Y+WuVt1sskq+l7DXLP0fln2V7Lfv4nPr816VP+efFqOT9Lf/dOH1bVe3l+62svfx51X2GqtpuGHbl5/vovYKNsvhYTttW9f5QO3Z7WZ179ipSsIv3XdN/s2t8n6PKlP+lXde/9OrDr7/+qtLSUsXExDi1x8TEOH0lillGRoZmzpxZoT0rK0vBwa5862r3dhw7WeKSPlUpKrGf1fPr4vS/YGylhmwuuAKy5FSw+yPiWnS8pOJ3BMIdfKRD+fU9iAuAj3To1/oexAXARzp8sL4HcQHw0ccfr5Sfi8+MPn78eI361Skcvfjii1q4cKG+//57SVLr1q01adIkxzKVNzg90JXPcFRm2rRpSktLczwuLCxUQkKCUlNTFRYW5rIxFUbt0YovtuqaS1srODDA+X/5T0n/77Yqnz+wQ6yuaBFRbR+U8bMYCvD3c8wo+fv6yO/Uf31PzRb5+viU/bd8Bslimn069dhikUKsZfspn93wOTU78ccslPNrl8+0mWeeKvvoWSx/7NMii+P/kk/vI8lpm3lfjnmmKp5bsa1iP/PrVKZ80+ldLLKopLRU3+/YoYsvvtjpDvrV/f+UeaatOqd3Kf918fctq335TJHFIhWX2GX181HpqVnHAL+y2R+fU+9p8Rlmisq3WyTZ7IZj1qn01J9tpfayGRmLRbZSu/ydZop8/pj98bGopHwmyTS7Uz6z4ntqpsj31Btfai+bVZLKZl19fcraymdbSk612UtL9e3WbbqkfTv5+PjIfmpfpXbD8VmVdGrmp+y1fE7NltqNsn37nPrslr+WoT8+m3XuY5T93Vrep3wGuPyzb+5z+vtvnrk0Tv2hvN0iiwyVHYdxakrKp4p286yjeV/mbeXPM/cxP698e2lpqbZu3aZ27drJp5JvhDj9OY7Ppmnflf5+mj/Hpmn+0/tX9ZzTn1fb57qTIaPWr1taWqpt27YqtU9vBVoDXDqe8pWfM6l1OPrb3/6mhQsXasKECerWrZskaf369br//vu1a9cuPfbYY7XdpUdFRUXJ19e3wixRfn5+hdmkclarVVartUK7v7+//P39XTa2W69sprBft2jAta2q3O+s97ZVeS7Rwls6KcDPR3NWbFdxaf3cciEi2F9NI4IVFx6o6DCrGgYFqGGwvxpY/RRi9VODQD81sPopOMBXgf6+CvD1kdXfRwG+PmUBxdciPx8fxz8I7mCz2bRixQoNGNDXpe8fKrLZbFrx+3YNSK76M42zZ7PZtKJgqwZ0a0Gd3chms2nFYersbmV1/laB1gCX17mm+6t1OFq8eLGef/553XbbbY62wYMHq2PHjpowYcI5H44CAgLUuXNnZWdn64YbbnC0Z2dn609/+lM9jqxmyv4vsWI6enhgOwW4ev7xlCB/X13TOkpXtIjUJfFhSogMVuNQqwL9+S49AMD5p9bhqLS0VF26dKnQ3rlzZ5WUePb8lLpKS0vT8OHD1aVLF3Xr1k3PPfec9uzZo3vuuae+h3ZGFsfph86s5qBylpMu9/ZspYEd4tQ2NlR+vhfsrbAAABeoWoejO+64Q4sXL9aCBQuc2p977jndfvvtLhuYO91yyy06dOiQZs2apQMHDigpKUkrVqxwfLnuOa0mwacOV00svOVSXd8xnjAEALjg1fmE7KysLF111VWSpM8//1x79+7ViBEjnE5cPj1AnUvGjh2rsWPH1vcwXKaBtW5LXB/cd43axbnupHIAALxdrcPRli1bdPnll0uSfvzxR0lS48aN1bhxY23ZssXRz5su7z8fDOgQ98eDGpT+f/q20dierXifAAA4Ta3D0SeffOKOceAs3HZlgqx+NZ85enRIkoZf5QVLiAAA1ANOMLnAXNkikmAEAEA1aj1zdPLkSWVmZuqTTz5Rfn6+7Hbn++nk5ua6bHBwvRdGVbzSEAAA/KHW4eiuu+5Sdna2/vznP+vKK6/knJVzQs3eg3EprRQWyI3LAACoTq3D0fvvv68VK1aoR48e7hgPXKCqqHTrFc08Og4AALxRrc85atKkiUJDQ90xFtTRbVcmOD2u7DZH17SOUkKkq7/fGACA80+tw9H8+fP14IMPavfu3e4YD2opLjxQHZs2PGO/8CCW0wAAqIlaL6t16dJFJ0+eVMuWLRUcHFzhS9wOHz7sssHhzBqHVvxC3MqW1UZ1b+H2sQAAcD6odTi67bbb9PPPP2vOnDmKiYnhhGwvEGr1U5cWkfU9DAAAvEKtw9G6deu0fv16XXrppe4YD9wgqpLZJQAAULlan3PUtm1bnThxwh1jAQAAqHe1DkePP/64Jk+erNWrV+vQoUMqLCx0+sG5h4VPAABqrtbLav369ZMkXXfddU7thmHIYrGotLTUNSNDnZ1+GljfpNj6GQgAAF7IpV88u3HjxrMaDFzDOO1GR5N6t66fgQAA4IVqHY6Sk5OdHh89elSvvfaaXnjhBX399deaNGmSq8YGF7H6+db3EAAA8Bq1Pueo3KpVq3THHXcoLi5OmZmZGjBggL766itXjg010K1Vowpt3F0BAIC6q9XM0b59+7R06VK99NJL+v333zV06FDZbDa9/fbbat++vbvGiGrc3/vi+h4CAADnlRrPHA0YMEDt27fX1q1blZmZqf379yszM9OdY8MZ+FikQH+WzAAAcKUazxxlZWVp4sSJuvfee9W6NSf4AgCA81ONZ44+++wzHTt2TF26dFHXrl315JNP6uDBg+4cGwAAgMfVOBx169ZNzz//vA4cOKAxY8bozTffVJMmTWS325Wdna1jx465c5yoBQu3fQQAoM5qfbVacHCw7rrrLq1du1abN2/W5MmT9fjjjys6OlqDBw92xxhhZpy5CwAAqLs6X8ovSW3atNHcuXO1b98+vfHGG64aEwAAQL05q3BUztfXV0OGDNHy5ctdsTtUhxUzAADcyiXhCB5Uy2W1YV2buWccAACcpwhH57kZ13NzTgAAaoNw5G1quazG96oBAFA7hKPzEN+tBgBA3RGOvE0NzjkyuNwfAIA6IxwBAACYEI68jWnJrKoJIpbVAACoO8KRt2HJDAAAtyIcAQAAmBCOvA1LZgAAuBXhyNuwrAYAgFsRjs5DTC4BAFB3hCMvVlUIYnIJAIC6IxwBAACYEI682FUtG1XazrIaAAB1RzjyYk/c1qm+hwAAwHmHcORtTNNCUQ2s9TcOAADOU14Rjnbt2qW7775biYmJCgoKUqtWrTRjxgwVFxc79duzZ4+uv/56hYSEKCoqShMnTqzQZ/PmzUpOTlZQUJCaNGmiWbNmyfCmb2r1oqECAOCN/Op7ADXx3XffyW6369lnn9VFF12kLVu2aPTo0fr99981b948SVJpaakGDhyoxo0ba+3atTp06JBGjhwpwzCUmZkpSSosLFSfPn2UkpKinJwc7dixQ6NGjVJISIgmT55cn4cIAADOEV4Rjvr166d+/fo5Hrds2VLbt2/X4sWLHeEoKytLW7du1d69exUfHy9Jmj9/vkaNGqXZs2crLCxMr732mk6ePKmlS5fKarUqKSlJO3bs0IIFC5SWlibLefKNrefLcQAAUB+8IhxV5ujRo4qMjHQ8Xr9+vZKSkhzBSJL69u2roqIibdiwQSkpKVq/fr2Sk5NltVqd+kybNk27du1SYmJipa9VVFSkoqIix+PCwkJJks1mk81mc9kxle+run0apnW1qvqZlwldOb7zRU3qDNeg1p5BnT2DOnuGO+tc0316ZTj68ccflZmZqfnz5zva8vLyFBMT49QvIiJCAQEBysvLc/Rp0aKFU5/y5+Tl5VUZjjIyMjRz5swK7VlZWQoODj6bQ6lUdnZ2ldvsdl+Vn5W9YsWKSvuUlJy5D6qvM1yLWnsGdfYM6uwZ7qjz8ePHa9SvXsNRenp6paHDLCcnR126dHE83r9/v/r166ebb75Zf/nLX5z6VracZBiGU/vpfcpnWapbipo2bZrS0tIcjwsLC5WQkKDU1FSFhYVVO/7asNlsys7OVp8+feTv719pnylfZqu0tGzMAwYMqLTPQ7krVVRUWm2fC1lN6gzXoNaeQZ09gzp7hjvrXL7ycyb1Go7Gjx+vW2+9tdo+5pme/fv3KyUlRd26ddNzzz3n1C82NlZffPGFU1tBQYFsNptjdig2NtYxi1QuPz9fkirMOplZrVanpbhy/v7+bvkFqW6/FllUfsla9X1UbR+47/1DRdTaM6izZ1Bnz3BHnWu6v3oNR1FRUYqKiqpR359//lkpKSnq3LmzlixZIh8f57sQdOvWTbNnz9aBAwcUFxcnqWzZy2q1qnPnzo4+Dz30kIqLixUQEODoEx8fX2G5DQAAXJi84j5H+/fvV8+ePZWQkKB58+bp4MGDysvLc5oFSk1NVfv27TV8+HBt3LhRK1eu1JQpUzR69GjH0tewYcNktVo1atQobdmyRcuWLdOcOXPOqyvVAADA2fGKE7KzsrL0ww8/6IcfflDTpk2dtpWfM+Tr66v3339fY8eOVY8ePRQUFKRhw4Y5LvWXpPDwcGVnZ2vcuHHq0qWLIiIilJaW5nQ+EQAAuLB5RTgaNWqURo0adcZ+zZo103vvvVdtnw4dOujTTz910cjOTcyBAQBQd16xrAYAAOAphCMAAAATwhEAAIAJ4QgAAMCEcAQAAGBCOAIAADAhHJ2PuJYfAIA6IxwBAACYEI4AAABMCEcAAAAmhCMAAAATwhEAAIAJ4QgAAMCEcAQAAGBCOPIyhowz9uE2RwAA1B3hCAAAwIRw5GUszAsBAOBWhCMAAAATwhEAAIAJ4eg8ZLGw9AYAQF0Rjs5DhnHmK9oAAEDlCEdepiaX8gMAgLojHJ2HWFYDAKDuCEdepiaX8rOsBgBA3RGOvAzLagAAuBfh6DzEshoAAHVHOPIy3CEbAAD3Ihx5GZbVAABwL8IRAACACeEIAADAhHDkZWpyzhHnYwMAUHeEIy9Tk3OO/H15WwEAqCv+FT0PPTe8s2LDApV5W6f6HgoAAF7Hr74HgNopW1arfvaoU7MIff7QdZ4ZEAAA5xlmjrwMl/IDAOBehCMAAAATwhEAAIAJ4QgAAMCEcAQAAGBCOAIAADAhHAEAAJgQjgAAAEy8LhwVFRXpsssuk8Vi0aZNm5y27dmzR9dff71CQkIUFRWliRMnqri42KnP5s2blZycrKCgIDVp0kSzZs2SYXDvIAAAUMbr7pD9wAMPKD4+Xl9//bVTe2lpqQYOHKjGjRtr7dq1OnTokEaOHCnDMJSZmSlJKiwsVJ8+fZSSkqKcnBzt2LFDo0aNUkhIiCZPnlwfhwMAAM4xXhWOPvjgA2VlZentt9/WBx984LQtKytLW7du1d69exUfHy9Jmj9/vkaNGqXZs2crLCxMr732mk6ePKmlS5fKarUqKSlJO3bs0IIFC5SWliYLX2cPAMAFz2vC0S+//KLRo0fr3XffVXBwcIXt69evV1JSkiMYSVLfvn1VVFSkDRs2KCUlRevXr1dycrKsVqtTn2nTpmnXrl1KTEys9LWLiopUVFTkeFxYWChJstlsstlsrjpEx75quk9XvvaFpLZ1Rt1Ra8+gzp5BnT3DnXWu6T69IhwZhqFRo0bpnnvuUZcuXbRr164KffLy8hQTE+PUFhERoYCAAOXl5Tn6tGjRwqlP+XPy8vKqDEcZGRmaOXNmhfasrKxKg9rZys7OrnKb3e4rqWyGa8WKFS5/7QtJdXWGa1Frz6DOnkGdPcMddT5+/HiN+tVrOEpPT680dJjl5ORo3bp1Kiws1LRp06rtW9mymGEYTu2n9yk/Gbu6JbVp06YpLS3N8biwsFAJCQlKTU1VWFhYtWOqDZvNpuzsbPXp00f+/v6V9pnyZbZKS8vGPGDAAJe99oWkJnWGa1Brz6DOnkGdPcOddS5f+TmTeg1H48eP16233lptnxYtWuixxx7T559/7rQcJkldunTR7bffrpdfflmxsbH64osvnLYXFBTIZrM5ZodiY2Mds0jl8vPzJanCrJOZ1Wqt8NqS5O/v75ZfkJrul1/Os+Ou9w8VUWvPoM6eQZ09wx11run+6jUcRUVFKSoq6oz9nnjiCT322GOOx/v371ffvn311ltvqWvXrpKkbt26afbs2Tpw4IDi4uIklS17Wa1Wde7c2dHnoYceUnFxsQICAhx94uPjKyy3AQCAC5NX3OeoWbNmSkpKcvxcfPHFkqRWrVqpadOmkqTU1FS1b99ew4cP18aNG7Vy5UpNmTJFo0ePdix9DRs2TFarVaNGjdKWLVu0bNkyzZkzhyvVAACAg1eEo5rw9fXV+++/r8DAQPXo0UNDhw7VkCFDNG/ePEef8PBwZWdna9++ferSpYvGjh2rtLQ0p/OJAADAhc0rrlY7XYsWLSq9q3WzZs303nvvVfvcDh066NNPP3XX0AAAgJc7b2aOAAAAXIFwBAAAYEI4AgAAMCEceZlKTrUCAAAuRDgCAAAwIRx5GW7HBACAexGOAAAATAhHAAAAJoQjAAAAE8IRAACACeHIy3ApPwAA7kU4AgAAMCEceRku5QcAwL0IR16GZTUAANyLcAQAAGBCOPIyLKsBAOBehCMvw7IaAADuRTgCAAAwIRx5GZbVAABwL8IRAACACeHIy3DOEQAA7kU4AgAAMCEceRnOOQIAwL0IR16GZTUAANyLcAQAAGBCOPIyLKsBAOBehCMvw7IaAADuRTgCAAAwIRwBAACYEI4AAABMCEcAAAAmhCMAAAATwpGX4VJ+AADci3DkZbiUHwAA9yIcAQAAmBCOAAAATAhHAAAAJoQjAAAAE8IRAACACeEIAADAhHAEAABg4lXh6P3331fXrl0VFBSkqKgo3XjjjU7b9+zZo+uvv14hISGKiorSxIkTVVxc7NRn8+bNSk5OVlBQkJo0aaJZs2bJ4OZBAADgFL/6HkBNvf322xo9erTmzJmjXr16yTAMbd682bG9tLRUAwcOVOPGjbV27VodOnRII0eOlGEYyszMlCQVFhaqT58+SklJUU5Ojnbs2KFRo0YpJCREkydPrq9DAwAA5xCvCEclJSW677779I9//EN33323o71NmzaOP2dlZWnr1q3au3ev4uPjJUnz58/XqFGjNHv2bIWFhem1117TyZMntXTpUlmtViUlJWnHjh1asGCB0tLSZOG7OQAAuOB5xbJabm6ufv75Z/n4+KhTp06Ki4tT//799e233zr6rF+/XklJSY5gJEl9+/ZVUVGRNmzY4OiTnJwsq9Xq1Gf//v3atWuXx44HAACcu7xi5uinn36SJKWnp2vBggVq0aKF5s+fr+TkZO3YsUORkZHKy8tTTEyM0/MiIiIUEBCgvLw8SVJeXp5atGjh1Kf8OXl5eUpMTKz09YuKilRUVOR4XFhYKEmy2Wyy2WwuOcby/Zn/W9P+qJ3a1hl1R609gzp7BnX2DHfWuab7rNdwlJ6erpkzZ1bbJycnR3a7XZI0ffp03XTTTZKkJUuWqGnTpvr3v/+tMWPGSFKly2KGYTi1n96n/GTs6pbUMjIyKh1nVlaWgoODqx1/XWRnZ1e5zW74Siob64oVK1z+2heS6uoM16LWnkGdPYM6e4Y76nz8+PEa9avXcDR+/Hjdeuut1fZp0aKFjh07Jklq3769o91qtaply5bas2ePJCk2NlZffPGF03MLCgpks9kcs0OxsbGOWaRy+fn5klRh1sls2rRpSktLczwuLCxUQkKCUlNTFRYWdqbDrDGbzabs7Gz16dNH/v7+lfaZ/EW27KcC3YABA1z22heSmtQZrkGtPYM6ewZ19gx31rl85edM6jUcRUVFKSoq6oz9OnfuLKvVqu3bt+vqq6+WVFa8Xbt2qXnz5pKkbt26afbs2Tpw4IDi4uIklc3sWK1Wde7c2dHnoYceUnFxsQICAhx94uPjKyy3mVmtVqfzlMr5+/u75Rekuv0GBfjq2MkSRz/UnbveP1RErT2DOnsGdfYMd9S5pvvzihOyw8LCdM8992jGjBnKysrS9u3bde+990qSbr75ZklSamqq2rdvr+HDh2vjxo1auXKlpkyZotGjRztmd4YNGyar1apRo0Zpy5YtWrZsmebMmeNVV6otvfNKNW8UrBdGdKnvoQAAcF7yihOyJekf//iH/Pz8NHz4cJ04cUJdu3bVqlWrFBERIUny9fXV+++/r7Fjx6pHjx4KCgrSsGHDNG/ePMc+wsPDlZ2drXHjxqlLly6KiIhQWlqa05LZua5z8wit+Z+U+h4GAADnLa8JR/7+/po3b55T2Dlds2bN9N5771W7nw4dOujTTz919fAAAMB5wiuW1QAAADyFcAQAAGBCOAIAADAhHAEAAJgQjgAAAEwIRwAAACaEIwAAABPCEQAAgAnhCAAAwIRwBAAAYEI4AgAAMCEcAQAAmBCOAAAATPzqewDeyDAMSVJhYaFL92uz2XT8+HEVFhbK39/fpfvGH6iz51Brz6DOnkGdPcOddS7/d7v83/GqEI7q4NixY5KkhISEeh4JAACorWPHjik8PLzK7RbjTPEJFdjtdu3fv1+hoaGyWCwu229hYaESEhK0d+9ehYWFuWy/cEadPYdaewZ19gzq7BnurLNhGDp27Jji4+Pl41P1mUXMHNWBj4+PmjZt6rb9h4WF8YvnAdTZc6i1Z1Bnz6DOnuGuOlc3Y1SOE7IBAABMCEcAAAAmhKNziNVq1YwZM2S1Wut7KOc16uw51NozqLNnUGfPOBfqzAnZAAAAJswcAQAAmBCOAAAATAhHAAAAJoQjAAAAE8LROeTpp59WYmKiAgMD1blzZ3322Wf1PSSvkZGRoSuuuEKhoaGKjo7WkCFDtH37dqc+hmEoPT1d8fHxCgoKUs+ePfXtt9869SkqKtKECRMUFRWlkJAQDR48WPv27fPkoXiVjIwMWSwWTZo0ydFGnV3n559/1h133KFGjRopODhYl112mTZs2ODYTq3PXklJiR5++GElJiYqKChILVu21KxZs2S32x19qHPtffrpp7r++usVHx8vi8Wid99912m7q2paUFCg4cOHKzw8XOHh4Ro+fLiOHDly9gdg4Jzw5ptvGv7+/sbzzz9vbN261bjvvvuMkJAQY/fu3fU9NK/Qt29fY8mSJcaWLVuMTZs2GQMHDjSaNWtm/Pbbb44+jz/+uBEaGmq8/fbbxubNm41bbrnFiIuLMwoLCx197rnnHqNJkyZGdna2kZuba6SkpBiXXnqpUVJSUh+HdU778ssvjRYtWhgdO3Y07rvvPkc7dXaNw4cPG82bNzdGjRplfPHFF8bOnTuNjz/+2Pjhhx8cfaj12XvssceMRo0aGe+9956xc+dO49///rfRoEEDY9GiRY4+1Ln2VqxYYUyfPt14++23DUnGsmXLnLa7qqb9+vUzkpKSjHXr1hnr1q0zkpKSjEGDBp31+AlH54grr7zSuOeee5za2rZta0ydOrWeRuTd8vPzDUnGmjVrDMMwDLvdbsTGxhqPP/64o8/JkyeN8PBw45lnnjEMwzCOHDli+Pv7G2+++aajz88//2z4+PgYH374oWcP4Bx37Ngxo3Xr1kZ2draRnJzsCEfU2XUefPBB4+qrr65yO7V2jYEDBxp33XWXU9uNN95o3HHHHYZhUGdXOD0cuaqmW7duNSQZn3/+uaPP+vXrDUnGd999d1ZjZlntHFBcXKwNGzYoNTXVqT01NVXr1q2rp1F5t6NHj0qSIiMjJUk7d+5UXl6eU42tVquSk5MdNd6wYYNsNptTn/j4eCUlJfE+nGbcuHEaOHCgevfu7dROnV1n+fLl6tKli26++WZFR0erU6dOev755x3bqbVrXH311Vq5cqV27NghSfr666+1du1aDRgwQBJ1dgdX1XT9+vUKDw9X165dHX2uuuoqhYeHn3Xd+eLZc8Cvv/6q0tJSxcTEOLXHxMQoLy+vnkblvQzDUFpamq6++molJSVJkqOOldV49+7djj4BAQGKiIio0If34Q9vvvmmcnNzlZOTU2EbdXadn376SYsXL1ZaWpoeeughffnll5o4caKsVqtGjBhBrV3kwQcf1NGjR9W2bVv5+vqqtLRUs2fP1m233SaJz7Q7uKqmeXl5io6OrrD/6Ojos6474egcYrFYnB4bhlGhDWc2fvx4ffPNN1q7dm2FbXWpMe/DH/bu3av77rtPWVlZCgwMrLIfdT57drtdXbp00Zw5cyRJnTp10rfffqvFixdrxIgRjn7U+uy89dZbevXVV/X666/rkksu0aZNmzRp0iTFx8dr5MiRjn7U2fVcUdPK+rui7iyrnQOioqLk6+tbIenm5+dXSNao3oQJE7R8+XJ98sknatq0qaM9NjZWkqqtcWxsrIqLi1VQUFBlnwvdhg0blJ+fr86dO8vPz09+fn5as2aNnnjiCfn5+TnqRJ3PXlxcnNq3b+/U1q5dO+3Zs0cSn2lX+Z//+R9NnTpVt956qzp06KDhw4fr/vvvV0ZGhiTq7A6uqmlsbKx++eWXCvs/ePDgWdedcHQOCAgIUOfOnZWdne3Unp2dre7du9fTqLyLYRgaP3683nnnHa1atUqJiYlO2xMTExUbG+tU4+LiYq1Zs8ZR486dO8vf39+pz4EDB7Rlyxbeh1Ouu+46bd68WZs2bXL8dOnSRbfffrs2bdqkli1bUmcX6dGjR4XbUezYsUPNmzeXxGfaVY4fPy4fH+d/Cn19fR2X8lNn13NVTbt166ajR4/qyy+/dPT54osvdPTo0bOv+1mdzg2XKb+U/8UXXzS2bt1qTJo0yQgJCTF27dpV30PzCvfee68RHh5urF692jhw4IDj5/jx444+jz/+uBEeHm688847xubNm43bbrut0ktHmzZtanz88cdGbm6u0atXrwv6ctyaMF+tZhjU2VW+/PJLw8/Pz5g9e7bx/fffG6+99poRHBxsvPrqq44+1PrsjRw50mjSpInjUv533nnHiIqKMh544AFHH+pce8eOHTM2btxobNy40ZBkLFiwwNi4caPj9jSuqmm/fv2Mjh07GuvXrzfWr19vdOjQgUv5zzdPPfWU0bx5cyMgIMC4/PLLHZeh48wkVfqzZMkSRx+73W7MmDHDiI2NNaxWq3HttdcamzdvdtrPiRMnjPHjxxuRkZFGUFCQMWjQIGPPnj0ePhrvcno4os6u89///tdISkoyrFar0bZtW+O5555z2k6tz15hYaFx3333Gc2aNTMCAwONli1bGtOnTzeKioocfahz7X3yySeV/p08cuRIwzBcV9NDhw4Zt99+uxEaGmqEhoYat99+u1FQUHDW47cYhmGc3dwTAADA+YNzjgAAAEwIRwAAACaEIwAAABPCEQAAgAnhCAAAwIRwBAAAYEI4AgAAMCEcAThv5eXlqU+fPgoJCVHDhg2rbLNYLHr33XdrtM/09HRddtllbhkvgHMD4QhAvcjLy9OECRPUsmVLWa1WJSQk6Prrr9fKlStd9hoLFy7UgQMHtGnTJu3YsaPKtgMHDqh///412ueUKVNcOkZJWrp0qSOoAah/fvU9AAAXnl27dqlHjx5q2LCh5s6dq44dO8pms+mjjz7SuHHj9N1337nkdX788Ud17txZrVu3rrat/FvCa6JBgwZq0KCBS8YH4Bx11l9AAgC11L9/f6NJkybGb7/9VmFb+fci7d692xg8eLAREhJihIaGGjfffLORl5fn1Hf58uXG5ZdfblitViMxMdFIT083bDabYRiG0bx58wrf6VRZm2GUfTffsmXLHPvdu3evccsttxgRERFGcHCw0blzZ+Pzzz83DMMwZsyYYVx66aVO43jppZeMtm3bGlar1WjTpo3x1FNPObbt3LnTkGS8/fbbRs+ePY2goCCjY8eOxrp16wzDqPw7qGbMmGEYRtn3LV500UWG1Wo1oqOjjZtuuqmuJQdQC8wcAfCow4cP68MPP9Ts2bMVEhJSYXvDhg1lGIaGDBmikJAQrVmzRiUlJRo7dqxuueUWrV69WpL00Ucf6Y477tATTzyha665Rj/++KP++te/SpJmzJihnJwcjRgxQmFhYfrnP/+poKAgFRcXV2g73W+//abk5GQ1adJEy5cvV2xsrHJzc2W32ys9nueff14zZszQk08+qU6dOmnjxo0aPXq0QkJCNHLkSEe/6dOna968eWrdurWmT5+u2267TT/88IO6d++uRYsW6ZFHHtH27dsllc1OffXVV5o4caJeeeUVde/eXYcPH9Znn312tuUHUAOEIwAe9cMPP8gwDLVt27bKPh9//LG++eYb7dy5UwkJCZKkV155RZdccolycnJ0xRVXaPbs2Zo6daojgLRs2VKPPvqoHnjgAc2YMUONGzeW1WpVUFCQ07JZZW1mr7/+ug4ePKicnBxFRkZKki666KIqx/roo49q/vz5uvHGGyVJiYmJ2rp1q5599lmncDRlyhQNHDhQkjRz5kxdcskl+uGHH9S2bVuFh4fLYrE4jWnPnj0KCQnRoEGDFBoaqubNm6tTp07V1haAaxCOAHiUYRiSyq4Qq8q2bduUkJDgCEaS1L59ezVs2FDbtm3TFVdcoQ0bNignJ0ezZ8929CktLdXJkyd1/PhxBQcH12l8mzZtUqdOnRzBqDoHDx7U3r17dffdd2v06NGO9pKSEoWHhzv17dixo+PPcXFxkqT8/PwqQ2KfPn3UvHlztWzZUv369VO/fv10ww031Pm4ANQc4QiAR7Vu3VoWi0Xbtm3TkCFDKu1jGEal4cncbrfbNXPmTMeMjVlgYGCdx1fZUltVypfann/+eXXt2tVpm6+vr9Njf39/x5/Nx1CV0NBQ5ebmavXq1crKytIjjzyi9PR05eTkcGUb4GZcyg/AoyIjI9W3b1899dRT+v333ytsP3LkiNq3b689e/Zo7969jvatW7fq6NGjateunSTp8ssv1/bt23XRRRdV+PHxqftfbR07dtSmTZt0+PDhM/aNiYlRkyZN9NNPP1UYQ2JiYo1fMyAgQKWlpRXa/fz81Lt3b82dO1fffPONdu3apVWrVtXqeADUHjNHADzu6aefVvfu3XXllVdq1qxZ6tixo0pKSpSdna3Fixdr69at6tixo26//XYtWrTIcUJ2cnKyunTpIkl65JFHNGjQICUkJOjmm2+Wj4+PvvnmG23evFmPPfZYncd22223ac6cORoyZIgyMjIUFxenjRs3Kj4+Xt26davQPz09XRMnTlRYWJj69++voqIiffXVVyooKFBaWlqNXrNFixb67bfftHLlSl166aUKDg7WqlWr9NNPP+naa69VRESEVqxYIbvdrjZt2tT52ADUDDNHADwuMTFRubm5SklJ0eTJk5WUlKQ+ffpo5cqVWrx4seOO1REREbr22mvVu3dvtWzZUm+99ZZjH3379tV7772n7OxsXXHFFbrqqqu0YMECNW/e/KzGFhAQoKysLEVHR2vAgAHq0KGDHn/88QrLZOX+8pe/6IUXXtDSpUvVoUMHJScna+nSpbWaOerevbvuuece3XLLLWrcuLHmzp2rhg0b6p133lGvXr3Url07PfPMM3rjjTd0ySWXnNXxATgzi1F+diQAAACYOQIAADAjHAEAAJgQjgAAAEwIRwAAACaEIwAAABPCEQAAgAnhCAAAwIRwBAAAYEI4AgAAMCEcAQAAmBCOAAAATAhHAAAAJv8fZhe7QDedDFsAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import scipy.fftpack as fft\n", "import matplotlib.pyplot as plt\n", "\n", "t = np.linspace(0, 1, 1000)\n", "signal = np.sin(2 * np.pi * 10 * t) + 0.5 * np.sin(2 * np.pi * 20 * t)\n", "\n", "C = fft.dct(signal, type=2)\n", "\n", "plt.plot(C)\n", "plt.title(\"Discrete Cosine Transform\")\n", "plt.xlabel('Coefficients')\n", "plt.ylabel('Amplitude')\n", "plt.grid()\n", "plt.show()\n", "\n" ] }, { "cell_type": "markdown", "id": "a9dff92c", "metadata": {}, "source": [ "### Example 19 - Discrete Sine Transform -\n", "This code generates a signal consisting of two sine waves, computes its DST https://en.wikipedia.org/wiki/Discrete_sine_transform, and plots the DST coefficients using pyplot. The plot shows how the signal is decomposed into a set of sine functions with different frequencies and amplitudes.\n", "1. *import numpy as np*: Imports the NumPy package and creates an alias 'np' for easy referencing in the code.\n", "2. *import scipy.fftpack as fft*: Imports the FFTPACK module from SciPy package and creates an alias 'fft' for easy referencing in the code.\n", "3. *import matplotlib.pyplot as plt*: Imports the pyplot module from the matplotlib package and creates an alias 'plt' for easy referencing in the code.\n", "4. *t = np.linspace(0, 1, 1000)*: Generates a 1D array of 1000 equally spaced values between 0 and 1 and assigns it to the variable 't'.\n", "5. *signal = np.sin(2 * np.pi * 10 * t) + 0.5 * np.sin(2 * np.pi * 20 * t)*: Generates a signal by adding two sine waves with frequencies 10 Hz and 20 Hz, respectively, and assigns it to the variable 'signal'.\n", "6. *S = fft.dst(signal)*: Computes the Discrete Sine Transform (DST) of the signal using the FFTPACK module and assigns it to the variable 'S'.\n", "7. *plt.plot(S)*: Plots the DST coefficients of the signal using pyplot.\n", "8. *plt.title(\"Discrete Sine Transform\")*: Sets the title of the plot to \"Discrete Sine Transform\".\n", "9. *plt.xlabel('Coefficients')*: Sets the label for the x-axis to \"Coefficients\".\n", "10. *plt.ylabel('Amplitude')*: Sets the label for the y-axis to \"Amplitude\".\n", "11. *plt.grid()*: Adds grid lines to the plot.\n", "12. *plt.show()*: Displays the plot on the screen.\n" ] }, { "cell_type": "code", "execution_count": 21, "id": "b62e271b", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import scipy.fftpack as fft\n", "import matplotlib.pyplot as plt\n", "\n", "t = np.linspace(0, 1, 1000)\n", "signal = np.sin(2 * np.pi * 10 * t) + 0.5 * np.sin(2 * np.pi * 20 * t)\n", "\n", "S = fft.dst(signal)\n", "\n", "plt.plot(S)\n", "plt.title(\"Discrete Sine Transform\")\n", "plt.xlabel('Coefficients')\n", "plt.ylabel('Amplitude')\n", "plt.grid()\n", "plt.show()\n", "\n", "\n" ] }, { "cell_type": "markdown", "id": "4e4cf33b", "metadata": {}, "source": [ "### Example 20 - The Hilbert Transform - \n", "In this code example, the hilbert() function from the scipy.signal module is used to perform the Hilbert Transform https://en.wikipedia.org/wiki/Hilbert_transform. The magnitude of the analytic signal is then calculated using np.abs() and plotted using matplotlib.\n", "First, let me give you a brief overview of what this code does. It generates a signal that is a sum of two sine waves with frequencies 10Hz and 20Hz, applies the Hilbert transform to obtain the analytic signal, calculates the absolute value of the analytic signal, and then plots the resulting amplitude values. This allows you to see the envelope of the original signal, which is the result of the Hilbert transform.\n", "Here's a line-by-line explanation of the code:\n", "\n", ">\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.signal import hilbert\n", "\n", "\n", "This code imports three Python libraries that will be used in the rest of the code. numpy is a library for numerical computing, matplotlib is a library for data visualization, and scipy is a library for scientific computing. hilbert is a function provided by the scipy.signal module that performs the Hilbert transform.\n", "\n", ">\n", "t = np.linspace(0, 1, 1000)\n", "\n", "\n", "This code creates an array of 1000 evenly spaced values between 0 and 1. This array will be used as the time values for the signal.\n", "\n", ">\n", "signal = np.sin(2 * np.pi * 10 * t) + 0.5 * np.sin(2 * np.pi * 20 * t)\n", "\n", "\n", "This code generates a signal that is the sum of two sine waves with frequencies 10Hz and 20Hz. The signal is stored in the variable signal.\n", "\n", ">\n", "analytic_signal = hilbert(signal)\n", "H = np.abs(analytic_signal)\n", "\n", "\n", "This code applies the Hilbert transform to the signal using the hilbert function provided by the scipy.signal module. The result is stored in the variable analytic_signal. The np.abs function is then used to calculate the absolute value of the analytic signal, which gives us the amplitude of the envelope of the original signal. The resulting amplitude values are stored in the variable H.\n", "\n", ">\n", "plt.plot(H)\n", "plt.title(\"Hilbert Transform\")\n", "plt.xlabel('Samples')\n", "plt.ylabel('Amplitude')\n", "plt.grid()\n", "plt.show()\n", "\n", "\n", "This code generates a plot of the amplitude values stored in H. The plt.plot function is used to create the plot, and the plt.title, plt.xlabel, and plt.ylabel functions are used to add a title and axis labels to the plot. The plt.grid function adds a grid to the plot. Finally, the plt.show function is used to display the plot on the screen." ] }, { "cell_type": "code", "execution_count": 22, "id": "e1ccda8d", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.signal import hilbert\n", "\n", "t = np.linspace(0, 1, 1000)\n", "signal = np.sin(2 * np.pi * 10 * t) + 0.5 * np.sin(2 * np.pi * 20 * t)\n", "\n", "analytic_signal = hilbert(signal)\n", "H = np.abs(analytic_signal)\n", "\n", "plt.plot(H)\n", "plt.title(\"Hilbert Transform\")\n", "plt.xlabel('Samples')\n", "plt.ylabel('Amplitude')\n", "plt.grid()\n", "plt.show()\n", "\n", "\n" ] }, { "cell_type": "markdown", "id": "32a4923c", "metadata": {}, "source": [ "### Example 21 - Spectrogram and MFCC coefficients - \n", "This code demonstrates how to compute and visualize the spectrogram and MFCC (Mel-frequency cepstral coefficients) https://en.wikipedia.org/wiki/Mel-frequency_cepstrum of an audio file using the librosa library. Let's break down the code step by step:\n", "Importing necessary libraries python\n", "\n", ">\n", "import numpy as np\n", "import librosa\n", "import librosa.display\n", "import matplotlib.pyplot as plt\n", "\n", "\n", "Loading the audio file:\n", ">\n", "audio_file = 'm2_script1_iphone_livingroom1.wav'\n", "audio, sr = librosa.load(audio_file, sr=None)\n", "\n", "\n", "The librosa.load() function is used to load the audio file. It returns the audio data (audio) and the sample rate (sr) of the audio.\n", "\n", "Computing the spectrogram:\n", ">\n", "spectrogram = np.abs(librosa.stft(audio))\n", "\n", "\n", "The spectrogram is calculated by applying the Short-Time Fourier Transform (STFT) to the audio data. librosa.stft() computes the STFT, and np.abs() is used to get the magnitude of the STFT.\n", "\n", "Displaying the spectrogram:\n", ">\n", "plt.figure(figsize=(10, 4))\n", "librosa.display.specshow(librosa.amplitude_to_db(spectrogram, ref=np.max),\n", " sr=sr, x_axis='time', y_axis='log')\n", "plt.colorbar(format='%+2.0f dB')\n", "plt.title('Spectrogram')\n", "plt.show()\n", ">\n", "\n", "This code visualizes the spectrogram using librosa.display.specshow(). librosa.amplitude_to_db() converts the spectrogram to dB scale for better visualization. The resulting spectrogram is displayed using plt.imshow(), and a colorbar and title are added.\n", "\n", "Computing the MFCC coefficients:\n", ">\n", "mfcc = librosa.feature.mfcc(y=audio, sr=sr, n_mfcc=13)\n", ">\n", "\n", "The MFCC coefficients are computed using librosa.feature.mfcc(). The y parameter specifies the audio data, sr is the sample rate, and n_mfcc determines the number of MFCC coefficients to compute.\n", "\n", "Displaying the MFCC coefficients:\n", ">\n", "plt.figure(figsize=(10, 4))\n", "librosa.display.specshow(mfcc, x_axis='time')\n", "plt.colorbar()\n", "plt.title('MFCC Coefficients')\n", "plt.show()\n", ">\n", "\n", "This code displays the MFCC coefficients using librosa.display.specshow(). The resulting MFCC coefficients are visualized using plt.imshow(), and a colorbar and title are added.\n", "1. Import the necessary libraries: numpy for numerical operations, librosa for audio processing, and matplotlib for plotting.\n", "2. Provide the path to the audio file that you want to analyze.\n", "3. Load the audio file using librosa.load(). \n", "4. The sr=None argument ensures that the audio is loaded in its original sampling rate.\n", "5. Compute the spectrogram using librosa.stft(). This function converts the audio signal from the time domain to the frequency domain.\n", "6. Display the spectrogram using librosa.display.specshow(). The librosa.amplitude_to_db() function converts the amplitude values to decibels for better visualization. The sr parameter is set to the original sampling rate, and the x_axis is set to 'time' to display the time on the x-axis. The y_axis is set to 'log' to display the frequencies on a logarithmic scale.\n", "7. Show a colorbar indicating the magnitude of the spectrogram in decibels.\n", "8. Compute the MFCC (Mel-frequency cepstral coefficients) using librosa.feature.mfcc(). MFCCs are commonly used features for audio analysis and represent the spectral envelope of the audio signal.\n", "9. Display the MFCC coefficients using librosa.display.specshow(). Since MFCCs are a 2D matrix, the function directly displays the coefficients as an image.\n", "10. Show a colorbar indicating the magnitude of the MFCC coefficients.\n", "\n", "By running this code with a valid audio file path, you will visualize the spectrogram and MFCC coefficients of the audio." ] }, { "cell_type": "code", "execution_count": 23, "id": "24fa4e95", "metadata": {}, "outputs": [ { "data": { "image/png": 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aAMDg4CAsy0KxWIx4bxYWFnDOOed0vf5TqTaTzWaxYcMGAMCGDRtw9dVXY2hoCNdeey3++I//+KSvA8SEAjFixIgRI0aMGDFivHDgeU//5ymgUChgw4YN/EfXdfT393d8BgBnnHEGFEXBz372M37+3NwcHnzwwVWVmw0bNkBRFNx+++38s2KxiEceeeRJ2yZJEgDqTXqqiD03Mf5LQZIMuG79+W5GjBgxYjynECCA4Ldfo1sQRBDy1ASs3zaer76JEUX8Hv5zIZvN4q1vfSve9773oaenB4VCAe9///uxdetWXHDBBV3PSaVSeOtb34oPfOAD6OnpwcDAAD7ykY90JXFoNBo8d+f48eP4xCc+gUQiESEwOFnEys1vEc+WYC0KCjxiPwstiuK5XmjC1xcEGYQ4z+gaTwcvNMXmqfbDyT5/+3HhsfdCET5O9CyiqMPznrq15ulCFDV4nvmkx7W3+Sm/vxP0/bPxzE9lfqx27ItF4Aj39dNeb14Ac+Vk1vtu7fxtvsPw/Z9Of/02+/n5NnBJUgauW4l8Jss5OE7p+WlQCE+2Dq72nkRRA/EsPuZOdj19qscH9/vt7g/PCwihP0/nvOcQX/jCFyDLMq688ko0m02cf/75+OY3v8m9LN3w2c9+FrVaDZdeeinS6TTe9773oVwudxz31a9+FV/96lcBAPl8Htu2bcNPfvKTrvk5TwaBPJWAuBgnRKVSQTabBSCB5dw800X7qSzEujaCphmtFBveGJnQwtrEFoj2haJduNHUQdj2MgRRhevWg+tAAATpSYWGsGDxdIUM4JkvaN36UhR1EGI+KxtruN80dRCeZ8F2AsaThDaMljnbceyzAVXphWUvPePrhN/PakKVqvQCwEnfT1MHYVrzHdd/OniqQoCq9MOyF572/U4GgiACEE/quQRBhiSlOp4hoQ3D8xxY9sKTPqMgyAC8jjGryAW4Xj0iJISf/6msRavNbUMfQ705BeDE7+LESlwgyKT0cdSaR550nQufEx5D3QTFVZ9JkCFAeG4MQ23jun2NXe24MMLPqCq9sJ2VVZUzSTJAPAsesSO/n6zhSxQUEOKsugadzDwVBQUE5CnN56ezTj3ZO2Z93K3NilyIrMH0eNrP7f3tuHV4XnPVsdj+LsNz4WQQ3n9FMQVCbH499t7a9wVdG4FpHQeAk3qvbE4+k3X2me5N3d5XeD14NpXLpzKeWLvYe6f70gzK5fJJ5ab8tsDkyJXZ7z9tQoHC8BUvuOf6bSPOuXkOQTeQYIOXJKPjGE0dhCzn+N9CGxGB69aR0scj3+kapdCjQk6AdsUGiC6I7QtWsFDTNipyoetxlr0Ej9hw3TpVBnzFRhATIMSBro1AUwf9Nokd7WJtpT+ra/esf9j5ohhl9whvLAlteNXrdL92puuCSq/ZfRpIUqbjfZwIrN8kyYBlHe/YVC27GPzRpR9EsXvyYHs/dPus2wIfHlcnAu93CHxDTCZGV91MLXup435sTIZBhX7AtOZ5PxLiQBQUyHIOkmTw9ygKykm1dXVhursTOqzYaOrgqn3MrqEq/SfVjjAI8ZDwx387ZDkXGUOEOPwZ2Oeq0ouWOcvb2u0ZmUIJALo23FVxsJ2ViGJj6GOR5yfE43N8NRj6GFSlf1Whtd6c4nO9vZ1aqA9OpESF21hrHoEgiHxurj4OgjkabteTKTbhcUGIc0IBUZKiggAbK+G5tvocjQohrK+psJwJfe5Exlh43oT7xbKXIn3Y/i5ctw74yprr1vlzhZ/vRGNdlIwOIRoI7QGh+7VfJ53cGNyLuHyePxlEQYEs0X5abb4CwXrE+i38jsPjg12D7Qvdxmt4DWbv0fNMqEpvpL/p3Gn69+sueMtSlK2pac51XZu7gSmCTCZw3UpkP2PvjR0T3GMGHrHbvMWd/U0VJg2OU4IoKEiog5FxdqL+DkORC5F7nWgPUZV+CBAgCkpkbSVd5hghHgrprRAF5SkpNrKcO+Ga1W3fW23Pdt0KJCkDzzMhSQZMa+6k2/G84LeUc/NiRey5eRbR1XNzsmFEJ7C0hC2kJ/JesGs8FWvmyaDdIyRAgCDIJ20B7c+ehYXyHc9ae8Lo7o15Etd6l3fCFuaT8QydqH+fzDr+bIQUPjVr9YnbIwgiZCnXoYg922ESTzYPwvdj47ibJ7LjuqHne6peGk0dhGUv8POfq3DPJ2sD82qdLLpZo4ETj4vVzmFg/dj+/2rIGZMo1Q8+aVufargJQ/u74dcTFEAQuYDiuQ1ubDlZa3O39xzun5O5ViG9FSvVByLXYp+1o9OrE/17tbn2QgiJY+0AIZE+6daHJ7Kih73WT+f+XccBOr0Zz1efnex6mUyMotGa7vj8uWo3M0I+2b52ovWBeVfDCK81T+Yleqrju9vYOtn5zcLjFKXnJD06zgvOw8E9N9NPnwq6MPq6F9xz/bYRe26eY5zshnuixSG8MJxokWLXeDYVG0nKdAiYBOSkhUBFLmCpup//3c3q1M2jxT4/keVoNStQN2EqfF8WGhA9p0lDG9qsPt0sc09XsQHQIdSEwSxU3bwgYevVid5v2KPV7jnkn4t6yJPidd3Ung3FRhBkLoScaB4Ighy5HyEOBEFeVbGJvMvQ852sYiMKCgRBhmnNR85nY/pkvEj0GuKqY5dBkQsQIKx6XLti081K2T4m2ftqHz+uW4lYa8PXsp0V3m9hKy77rD1fIhxCEgbrm5NRbIDoXDxZ7xxA32W3vvCIHYQSyXmo6gBtb4exIjpvw2NmtbWLW54juWrdhQOmxEQ8Jas8X/va3v43G/vtfb2a4HciiKIGSTJO6HF+Kh5iTR3sUGyA0FwJnXMiYfKpKDbtfR7uBzbmPWJ3fY+ylOu6Z4TH/Ml6tJ8KTnbP7abYAMEzKnKh4/2Ex64QMpqGn2PVsQeyqszA3p0A4YSGj3bFBqDPG6wdJw5/c51y1z6nYZvB+Am/23acrOfJ80wQEFj20pOuzXih5xXGnptnhOdVufn1r3+N17zmNRgeHoYgCPiXf/mXjmMOHjyISy+9FNlsFul0GmeffTamp4MF4u1vfztOOeUU6LqOvr4+XHbZZXj44Ycj13jkkUdw2WWXobe3F5lMBnv27MGNN97YtU3Ly8sYGRmBIAgolUpP88meHk9DMjEKILphnIzLny2GhfTWyOfdNubwIsOEh3DICxAVply30rFRdhOOVkN7qEx4o2KC2Gpuatetn1DIlqR0V4GtHd2+C7cjrEy0b+KEuKtes31DWU2xUeQCREGhsfEgvD00Nlrk/cs2GNNebLuXeMLNJ4ywEME2ifD7peEYzchzjuZfeVLXZmDPzcJTGCQpw78TBBkgbmSjCo9HQx/jvwf5WCIf+zR8JzouWfvDgvfJhCeqSm+krYKo83uy+RAJD3oSxV0UdRoqQrwThliw90ZAeK7ak6Hbe263mDOw2PowLHuB93P7tQLFxeHPIQidAm34mu3Pd3ruDQCA3szOJ32WdoT7lYcjdgn9Ym113GrkmHY0zRk4bgOq0tvRD+0Gjva52S74OE6xqxAo8hDZ7qFZYSxV9gXnhQRHTR08CUGL9vWTHRfOn+wm0HqeCdetdzUmsGuz/JR2sLWuN7OTX9vxPWPdIAgyiGedcO3tNj/D86DbHtWZrxFcP7wfdHt+21mJHMPmt6r08nux70dyezvCUDuU4lBb2wX0aMjj0xMo29e4cHgcux8hHv89ldyAdHIjCEjU6EnsjjHaPpba7+V5Jg+Xa0f7O2X9EH6f4WdmsgRrJwtDB9DR1vY2BNfrvu7Kcq6rMr0amExAw+jp8ezZT2Yexnhx4HlVbur1Ok4//XT8/d//fdfvH3vsMZx77rk49dRTcdNNN+G+++7DX/zFXyCRSPBjzjjjDHzjG9/AwYMHccMNN4AQggsvvBCuGwilr371q+E4Dn75y1/innvuwfbt23HJJZdwyrkw3vrWt2Lbtm3P8MmiloyTnVDN1lEA4MluAF1AuglF4YWMLYa11nH+mSDI8Lxa6G/6qplADQTCjyiqkYVPEFV+DQDcOkqP1bgwEfZUnEjIlCQDgiAin9oc+ZxZ2lkORhg09E3kQnB77gKzNoUFNpYjE26LJGVo4mxoIRYgcEUy7CHoZiluTxIO+iEJWc6H/l49vt11q/CIjb7UNp7XEgjxHggIf9+ioEQWfHp8dONkfSNJmRNa+RjCFtVu1tUUejrOY3+zdklSBqrST4kS/I2m3pyCIhf42PG8BmQ56z+X05FXxIQWSTJ4Im40H8ULxlwoxEVTB7lyaNlLXBlz3foJLcI8V02QUW0c7mgHAHhuHbKcg+UUI+eG+5W1KfB2ra78iKLOxywPdxN1qpSdQOAEOoW1bu+yXfHqZjUNGySYwtnVC+J7K4O2axBFnY9N1gfseURRgw0LALDc5o1lCnw7wsJjSh/n8469N3Z/zzMhCCIyBmXFkeUcBEFDOrlxVcszC40pJDdC77L+rNa3ycQoJFHn7QY6vblcEPbHSt6IsvXUW9N+X+mQpAwkycArc+/j58pSll/X9VonrdwyZTJYn6JjgK8bIHz9ocpThh8fFkwlyeDvj11bUwcjuY85YxIbC5dDFJNIJkbRskt8nAWhRyJUpR9DuT28PwlxMJR7KQy/reF7sn7NJdZFvhMEESLPuxFBWEI9F0I7c96Ejnnh59p0EXhZP0hSBoIgcqHatOb9Zwj2uZnSTbDshch+EV572/NP2gV0wffedsOJvENBrl0/X+O6jY1uERsJOcvXsvY53T5P2g0T3dZ+j9i8reE1L3xtQRADVjNB7mp0yuijUJV+OE6JGvGIg5S+PnJMSh+HIhf42GbXXq29DKwfVKW/w2hB1wkRmjoYkZkYCHH5vnGie7wgQZ6m1+YFEMr6QsDzqty86lWvwic+8YlIJdQwPvKRj+Diiy/GZz7zGezYsQPj4+N49atfjf7+YAH8kz/5E5x33nkYGxvDzp078YlPfAJHjx7F1NQUAGBpaQmPPvooPvjBD2Lbtm3YuHEjPv3pT6PRaODAgQOR+/3DP/wDSqUS3v/+9z/jZ1OVfr65hidU+2IYXlgICF9UqFu1u6WbCsBNfh96vgZZCpQ+Te1vE+iDzazdHUyTmYOFL5vc4P9Gz+dMVxDgeaYfC08VBrYxhIXM9mc8O/VmAEBOiW507FiP2JGFXFMH0Zs5A4R4qDenkNLH4TilyEYTVgiY1d3zGr5LOhBUu4YLCAIct+H3RSAc2s5Kh2Uo4tUJhzC5VYgi3WT7MrtWtYYCdAMRBBlpaRCin5TKFmlFLkCWcx3hSWyj0RNrO5RCmuztwfMafBxwK1ko/2S1EDt2bWZ91qCDEK9rQjhrl+tWIEsJmNY89xCO5S6C7awgqfb55zhwPSt0DQeiqPPrjuT2+teqBwqDqEYETzZXLHuJP7fjK4fsOwkK32A7LK+ha9WaR6Aq/ZF50Y5g7El+P9Kxm9HHIl4kIPCgMEU6DPY38VrIasHmzTxl7YIFm+fhtYEJq2HFl6EbycaJSBwIiM8ESMN3bGcl8n6Ddht8nRrI7IIspXmb2NhiiqjnmdgorEUyMYrNuT/g12ChjWFBiSFCaAAvMj7a20GIh0r9EM3Tcetw3QoX5LqFALpuhTI5ek2Ydgm6NtJ1LAFA1tjEfzftZZ6wT8P1aN8qcq9/LxkJNZpYX6wdiLzz/vROEK8Fz2tCU3LUSuzPN9etRJ57c/oy//np+Elow08aXmbaJf/+TEHWoKmDUPwxIkkZuB59PtOa5+scNRBIvK2eZ/L3x8aLac3D80zkjEkANMSw5i0go69FozUN218bwyDEg2UvYKXxGL0usaHIBcyWfs0VJfZMrlvnhrOVkFGBXYe9F0K8gAjBXw85s1/E6GFGxn27Qs/OFUWN94PrVjqMQo5TguOU+drBjCQtc7br2m07K5F2hPdget/mqh6bdg8Tm5fM6yKKOhw3oMJlBsUwwuOZPaMh9WBt/nzevhMh2aZ0rgbHKfl7e6ActRORMAzq27oqSU17hZ/D3m+17d1vTLwMrltt2yPotcPrBjNmtaNb2LHjlECIB9Oaj+yh7L1lkxt9j+h/vtwTgXhP+yfGCzjnxvM8/PjHP8amTZtw0UUXob+/H2eddVbX0DWGer2Ob3zjG1i/fj3Wrl0LAOjp6cHk5CT+8R//EfV6HY7j4Mtf/jIGBgZwxhln8HMfeugh/K//9b/wj//4j12LC3WDaZqoVCqRHwBIqGu6TsSwx4CBLcZhITWhDUORc3DdCjLGBPqyZ3IruSQZfGMBANsPYUpqa9BoTQc0vRb9nG9yoaTXMERBoYuoL/AmE6Ooto4BoAsPs377jUNCG0ZCDSxdpjnnexA0LnwwpSdjTECSMri7+X0Q4kHycx36s2cB8C1jPosKO1cUFEiiirq1wBXEemuK3y/MzGZa81CVfrSsed6vhj7GGYrCfa2F2GNS+imw7WUAwHDuPH5vXRuB55noz56FlD4OQx/jNJzhxVfXRqCqA1yhW6zczT0yrH9ZXkdCG/aZZDQca9zj50WEvGR+vklCG+bhTmw8qEo/WuYc6mY0TC0AU2R6kU6eEvnGshc6PAVJbQ2/NgDUmo8DAO4tfoO+DynJBZ5uaLaOImNMoGHRvpup0YrDpfpBGPoY8qnNSGoDUOQCV5wUOcs3nZnSTf5nBSghpV5PrIEkGXxTU5V+iIKCcoPGeoeFVEkyUHMX+AbLQpd4j/j9xxQjy16AABGynIMo6lyZDI8NysiTAkCNAJJkoFQ/CNImiAdhnP2BRRsCVKWXUoz6IR6zpV/z+9hOCenkxoh1uC+ziwsmkmRAFBSk9HFY9kLEOsnCmdbnLwYhDs3f8T2mAA3LYs+hyAXkU5u5sMA8Hp7X5OtGShuMKDiSlEFC7eP963gmhlM7AASKaDuuW/k0HLeFA6VrkUyMcm8P64sgfyQqTGjqIFzPiryvsGeIjXfavz2AEBgO2D1UX7APC5mCIGK5uh+akoPt1iKerfDalVKC5xZDoXiioCCZGIkIzz3pbWA0zkFfpSOGkpZTQsKfT7JEj5sSp3ib6Bin+RPT9t1t3gFaD6RdOQ2HdLJ7sWfwPBOWdRyaQj1CdLxpfPyFPR+EuME644eaSZKBpjnjPy8dMyxvKpkYhe01UawdQD61GT3JQBEE6HtintN+IzC0CIKInvR2tKxlvnaFjXoAoMoZf+5pvB1htBtuALq+ho0e1JBjRkNLBRmSZESMG55ncq/2avCIDUmkxo6qHRjkCqktkXWZvS8CgpwxCUkyYDuNDq/Fal5RIFAuWAgrEAj8kqhHLOzMoFhIb+VjhzGlMeRTm+HCwVz1nkg/qEo/by/rD1nOodGaRk96O+97dkxYkWvPM9O1kcjzhL22giBi0TwUeUY2hguJ8VXDLwvprVCVftxb/AZSyXHYfg6OKGr8fMaiB/jKN7F5X59MKJooahFFlEWbsDHOKKCfDhvm84Y45+aZgbxAAIBcd911/O+5uTkCgCSTSfL5z3+e3HvvveRTn/oUEQSB3HTTTZFz/+///b/EMAwCgJx66qnk0UcfjXw/MzNDzjjjDCIIApEkiQwPD5N7772Xf99qtci2bdvIP/3TPxFCCLnxxhsJAFIsFk/Y5o9+9KMENCst8iOKGQLI/EeAwn+XpAKRpCwBZCKKBv9cU0ci5wAyUZVhomtjRBR0Igq6f06647huP+3XC7ch3BZF7qfX9e/B7iNJBb8NgwSQSTo5SQRB5eey43rSuzqu3e1ZAJlsyb+JADKR5V6ia2OR70RB5/fkbRYSXa+jKsOrHhPuU9ZfCW2UKHI/b3/7MYBMkolxIknZUD8bJKVv6jim/TxRNIgoGrwPJCkbuX7O2Lpq27r9sLGxWn92e//suhljM/8soY129HHHef6zpvRNRFWGiSgaRFUGST51uv9c6bb7RP8eyr2Mf5bSNxFF7ieimCaSlI2MFTaG2A97/6Kgk4Q2SgQhwdsSPl6WeyPn0TGYiFxPgEI0dSRyPvtJ6Zs6rhE+LjxuezNnkoQ2ShLaaNfvFbk/Mu4K6R0d78zQN/C2pJOTRJH7iSz38r6R5V5+bDo5uep7aW+zqgxHnjmhjRJJyvL2SFKBJBPj/F3wMez/z/qs2/hl92LPmkyM89/ZuGLHSFKWXyP8/KuNXVUZJpKU5WtMtx9VGSSCkCCSVOB9Eu539l24PawvJKnQMf9VZZD3Q/u6xM7v1g/d1qzweA+vTTljK+nP7uH9ryrDRFNHyOn5t0aenV1zPP+7HWNQlnuJoW/oOt7Y3KHzKNGxbrDrpvRNkfWlff6kk5P8XFFMk5S+KfJO29e3cDv4vhC6twCF5FOn878zxuaOuR0ee+1rSDo5yddY9gzt76+9nyPt8o/lY9bvJ9YGOkeD9vBx0DFG6HsbyV0QaTcf96E1on0usv17KPcyAtA5H37G1fYsQObrcXhtNPQN/PfwuGTvhs0pWe4lAhSiKsORc7rtF+E2n2jPYc8Zvm+4/QKUyPmGvoHo2hgRBDX0Duj4bF9/2TOG59WJ1rx2+SLcBvZOw3NFFHSS0jd17Afdfgx9Q2RdCK4jEQCkXC4/I9n12Ua5XCYASPGRbxB37tqn/FN85BsvyOf6beMF7bkBgMsuuwzvfe97sX37dnzwgx/EJZdcgi996UuRY6+66irce++9+NWvfoWNGzfiyiuvRKvVAgAQQvCOd7wD/f39uPnmm3HnnXfisssuwyWXXIK5Ocpz/qEPfQiTk5N4wxve8JTa+KEPfQjlcpn/HD3KcmbCoSa5IF7Vd5sHbvkgL4hZt5kFW1V6YWh9SChZ6Ik10NQBbuGU5RwMfYx7E5iVtC+zi1tOCm2WfGbpAqhFiXqHUtyCnE9t5gw0lB6YWlKYhbxhzgKEcEsOsygtV/dzl3o+tRkpfRxeW5LpZP5KDOX24OHqj2mfSMmI1TljTNCQFinJ80gyxgQPP2jP53G9egdTC/OOeJ6JnvR2fv+8MQHLXub5OZJkQBJpKE6YNcwjDjSlJ2IpYzU46LEaLIcyxOjaCDLGhF/HwkTO2BQKWaJWRpZwXaof9C2MvdiT/hOszZ/vJ87rPB8iZ0xCkQu+V6yPvy9RUDCU2xOxdlMLd9R6SHxPXqUeWNVUOY2mOdNmqY9a1SQ/RC6tDcGyF/yQwyXUzeNI6WPQtQGIoo7+7FkQBaUj72CxdgCylIaq9EIWNT6WXLfuewM1pPRx2E4p4inJ6Gvhei14xEbLnPXDvNL8XbAxN5Z5Ge0HPySn2jgMQhxsSF3Ar5XU13FLHxBN5LacGjzPRMaY4FZfSUpza3jYs7VU2YeWOQvPs7ilNuVbU9n4C3tjW3YQUsLC7FzPgiqn4REbtcajkKQEHKcE17PgevUgfElQUGs+1vFOBrO7aZ9pQwACz41tL8Kyl/i7bJmzcN06L/jp+aEeSW0Ihj6GZIJ6rdVQuGC4bspgdjeSiVGM5l8JUZB5boGmDiKlDfF+YR4k1635fzdRSIwjndwIzV9zwl6Uzhj/BT+pV+W5NEBAsAHQ0JqEOghCTFQbh5HSx6FpQ4HlnDhw3Ypf5JSFLrH4+QoIcSDLOe5xHEmdzecIC/PrSW/3w95oTRbGWEVZ7DI8LJRZrCUp469jgTfpVZk/pecIMiqNR7FDeCkcp4iUPg5JVGFa8zjuPcKf0XGKMK15iKKOsjPD3ycAKEoPHKeERmuae39FUUdv5gz/mT3e/4Q4/LnTyY0Yzb+Se6xT6kBX1jrLXoIAAdXGYX5uUhuCIEj875H0Wai3pvnzDefO4+vKmtzL4JFOxkkCgkTIg12pH8Lm1Gto+/33mfHnjCgZ8DwTa7LnQBBkyHIO1cZhKHIWHrFhWvPQtRHfY9LPx4XrVnh+Zal+sCv7H/MOEuIhmRiF49df8/xizGz9D9e/oXlvzKtEc/taXkBlHK4lE46MYEU9GYzEENZkzqFrn5yLFPFkJCpANFyW7QVNcwaq0o++zEv49Vl/Mg+Gpg5S77h5jLOBauogJDHB88LGEy8N1QfT/NDSDN9DPK+JjDFB99A27zOPLPA9bZKUiTC4MQr+4dx5SGhroPtrUTIxCsuuIKUN8vGpayMQBAWKnAchDvfCCYIMWaLPFQ4V26CdCwDYkr+Kt4Gh3poBIR5UpT/Sd5SMoAxRUNAyZyPrQq15BJraj6Tax8dfu6ywNf+HUEQdtr3M94aWOXvS9YmeV8Sem2eEF6xy09vbC1mWcdppp0U+n5ycjLClAUA2m8XGjRtx3nnn4fvf/z4efvhhXHfddQCAX/7yl/jRj36E7373u9izZw927tyJL37xi9B1Hd/61rf4Md/73vcgyzJkWcb555/P2/DRj3501TZqmoZMJhP5aUc43EwIJeOFCyaKgsIXBtetw7TmuTBSbjwK22kgp69DVguS9urNKThOiYfUpPRxtJwyAAmCIGKu9JtIsrcg6lxwbrSmoUgGWuYsX0iWq/tDCoPXEVbHGLbaKzJL/iYmCgpqrTnUmkd8RSJgo6qjCAESXmK8HqKo8Q1d8heYeiug/GXFzSwnEOhZO1lITtIvYtiT3s6PMa15JLU1SGjDWK7uR0IdhCDIKNYP8g2dFfK0nRUMpM+IxBi3zNnIIs/OYTHinmfC85q89kqlfghpnYalNK1ihIkIAGrmPA+b0JQeOA4VhqvWrK8ANSEKMnrSp6NUPwjbWYFlLfI+SSZGIMtZtJwSJjO/G+lz217uYOoRfQVTlnNQlX7ep0zAEkUdrp88D9Axx5SRQSEahmLZS9CkNJqtY9C1ATheA8nEWixX90dioSfTr4FlL2C78VpficvglNzv0D4xZwGIqLemIIoaGn4CtqYOQhaTfCMD6IZkOysQpSRS+jhUpR+n5V+HR1eu58JdONRkxXuC/z6s74AgyDD8HBl2LAFBVh+FICio1A9BVwrIGBPQtT7Ifh/nU5u75K2I/r2CHLWWOUtzi3gYFn0eQx/jSlNKXw/bKaPenEJfZhcgCP647UU2sRaeZ4be7Vqu0Ca1YahKLwrprTheuQO6NoSWU/bJOhwMZ86Gpg2BUVf3pLdHFAXHKSFrnApBEOlmL6dB4PlhbsWOgoAA0HBW0GhNY7Z6FzakLuDjYMg4HXlpbdATouaHjyT5OHu1cS4VUgX6mSoZSCc3Ru6jKr3QtRH0ZnYiY0zAcRuo1A9BkQsYzO5GWl8TFC0kHiynAviCaq15BC1zFi1zFil93E+QF/mawf5OaMM4Lf86Pg7Xq2dDEETMN+/3FcJlEHiQpAyKtQNYl3k5hDZqdMpiF+Rm2M6KnwyfQtM6DlFQYNkL0LURnJbTkDEmkPAJNQ4LDwOCDEXSudC6BbsBgJNuyHIOGX0MmpSJ5AcygY8JuDTBX0HDXuIC32T+Suh+aK8s5yAKCurNKahC0s/XqOJ45S6uoAHAUG4PBAjIGZNUEdGGIcs5JLRhNFpHoYaE9I1kC7LJjXydVwUdlr1Ew3HFXoiCxslN0smNSCZGYehjGBQ28XEBAA83fkaNbv77rLamkdCGQYgNTR1EFoNghWsFQeTh0gBgORW4fg4n7dsef0zY3GAWzm+znSVkjAkU0luRTm6kZDCto+hJbQbg8bW91DgCENcX0Ie5oqopWUiiDo84IMRBQszA0Mc4IYIkGejL7OLrEdvbkr7AnDEm0PJDciUxwZUspgSn9PVI6uv8BPYFPicYi56ujcB2lrBYvhOpxBBUpR8lP0wtoWTRaE3DtOYhCTIIcTGWuwgAXcOz+joAwCnGXhz3HoEAGhKoyClkk+N03yQmnyeV+iF4ng1F6YGq9PP3V6o/ypPwKfNklKAkndxIDY9iHi1rFs3WMaT0cZqL5axgvUgVcGagLKQm4XkWJvP/Dbrc4ysXwRzrzeyk6yGAAzVq3HzCvBP92bOgKtT4kDMm4XnNUIhtkhseB7O7IfsKMSt2zFhH6ZioodwIjHotc5avj5Jk4IHiP6HcOMSPl6SMbyQ2uzIexnjx4AWr3Kiqipe85CU4dCga4/nII49g3bp1JzyXEALTpMJpo0GTI9vzaERR5N6hH/zgB7jvvvuwf/9+7N+/H1/72tcAADfffDPe+c53PuW296R3hNrCYp5T3DIOAFnj1KAtkoFijZIb5FOboSr91BLfnIKm9MGyF3C8sg/LjUd4EjtArSmOU6KeCbeBtdoZcN0K1mTPQ3/2LJ8WkwrVnltFywoSEKuNwyEyA42zcqlKP0RR78gNal8ImNLErPR0AaIsb8nEaKSK+XpvEg17EfPiFE+IBQDbt/SOZy/0LU4W94yIvrWPWdFpPgKlAWZxy4yxicaDZ5DTRtEyZ7kCwgRjJsCGi46xvIh1+Qu7vkNDH4vEKDMvjeO2eN+wWhdrjDO4RZ55Hxy3gaS/STZa0/CIjYSgQpZ09KS3w9DHYDsrWKzc7Y+PDDxi4xT1HGqlslZgOyUUawfQEqjlnDEVtVePzxgTPIeIjocF6OoABAh8Y1fkLLXuSSn6bkLKUdbL8t+poCVisXI3CHFQb05hUN4MRdKxoXAZPGJzK/mi9ygS2jD21a4FAOhqL1wutDo84ZYxRWWT4zCteRTrhyFJCSoAiDoUyUBKH6feCIda413B8b2LVABM+oKPqvQiL67lz83u1WjNQNeGeM5OSh/HYuVu/s4XynegUj/EvVuiqKNYOwDXa7XV6lign/vJ7OxZmUIjiQYfw/XmFKqNw5z9jVWKr5qzEMWUf70lLFT3oZDeyu/NPIK2s4Jq4zA0JU8LQoo6NVq4DWSTEzTh3WvAdmpgtX9WavdHEnUVuQDTqXKhptY6Dsuu+Fb6ZsQTWUhvhQCBt8NxSni8cQufYyvWFKreQsBG5ZkRdkUA+Nr8F+iY9+h6UG48Sj0ExObGBsteQtOcwUrtACr1QxHGrcXa/WiH61ZA4EaMC6Koo9Y84gs5Uoj5jioooiCjiQoMfQxrySAes25FPrUZ6/Sz4bp1KEofXLfGr30aTuOGh/YcCUlMIKEN+7lUde4Z84jN1xJFpP3GWPX6yQg8r4lK8ygfN06IgEWSMnCcEkr1g7gy+zIQ4vgeRoePKcteou/PmofnNZCQc7yNm4T1aLSmUakfguOUuFd9yKUKNnwBXfRzgURBwVzpNyAgqPqGhJY5S9mrRBWynI8w3KUlBU6IeWq3fAZXLmkfpZDQhpAzJlFrPIpGaxr15hT6SQ9U3/OU0IaxV38dJjWamM8KKlt2EQm1D6Y1j01ioCwXUtuQNTYFFMdek3ueKvVDPK/UdevI+O97JH02ryxPiIda4whWqg+g2jgMUUxCEGR/DRW5YkjfOc19a5mzqDWPQNdGUG0chmUvwXXK0NRB7BTOQr05RecjBLhuHYuVu5HX1/t5dDQRneUmVuqHkFB70HSLPvsanSeaOoik2gPbrfN1QNdG4BGbRy0A1Lhwau4KqOoAirUDsOwFrM9SLzTb/9nvkpTCksXINGReBLvP68cEzkTTnIHrmdSYQTzeXqawCIKINfpOOL6Ht2nOIquNwvOa1Jvs1mHZS9TI5ufTAEFO0GMr/8r3fFU2fEODjDzSUORCsN6Y87CdFVyY2Yi50s1IyNnI/EpKPViqUuXuAuNNAIDhxOlYKN/Br1FuHKbGG3sZipxEvTnFjakL1X2wnRVaZNRe9hn2qDcqY0xAlTOcmILNK4XlEXmWr2jTeUmfuwLHbUGAgHrr6RWV/a0h9tw8Izyvyk2tVuMKBQA8/vjj2L9/P/fMfOADH8C1116Lr371q3j00Ufx93//9/i3f/s3vOMd7wAAHDlyBJ/61Kdwzz33YHp6GrfddhuuvPJK6LqOiy++GACwe/du5PN5vOlNb8J9992HRx55BB/4wAfw+OOP49WvfjUA4JRTTsGWLVv4z/r1lMJwcnIywsx2sig1jnSwBiWUQsSbUaof5AtKmOqQCVyM755ZWz2vSa3wfgIhQD0wgl+t27TmMdW8FQBN3PaIHeGwD6gco3UyWDgSZXDRfCY0M+KhyRmTXCBiC7plL3FvSsv3NDGvE7NAsXvlJB3V1jE4MLnVUhQUiIIMAQKeqN7MreOEeGiaM2iZc3CdMirNIzzcxbTmO2vuQPCZtCo8Yd12a5EiZ01zBpJkcCWH0cbazgqmijd0fYf15lRgLQ4VOXPcaoS4AQCWTBqOEg5tcJwS34AZHhMOoUcex3J1fweDEaPtLuE4IMjI6Gt5cmyfuwaiqGOu9JvIOUHohM0tW8yDVGsegaL0cGGFMSo1zRlfmAq8Vi6i4ZFMyWXP0kKNb74ZYwKVxqMAgAm8BJ5nQRRUKHIBteYRvEText9ROCSuJ7MDsr/p2M5KhAq42jjM22nZS1TwJy2cnbgStrOCnDHJSRVsexk5j/Z9pX4Ih1eoh5YpYh6x4XotOF6L31uRC5Gwj2prGqxgK93gOwtNMmsxE77Yhmo7K5FQC10b4eOTnTuY3Bqlm/bMjsr1xeqDAKjXiilRLNGdCcW2swKHmCEmLMpQyDZrGvK3As8nG6D9t0DbGAqbA6hytlJ9IBKKpyr9SGmDaFjLcN06GuZxvEw517eWB1b+MPPTH/S8BwDQJ6Z9JriAtn65uj+iKDI6ZAC8rzdkX8X7wtDHaAisnANI0C7aZ3R8um4dycTaoJCgL8g1WtM43nwQ9eYUllBBj3oKirWDKHqBssFZ7oiH/eRO3g42l8NrScuchW0vhii0aeiq5RQhCCKO1T3kU5s5LfE6peB7Q4P3vLsn8Nx7XoOv07+oTHGjlmnNQ1eCmiCuH3JKiIPl6n4uoN1L9nUQjwDALZV/8JkjXT9sySekCSmxrltHztjA/26acx2e+LrrRIozlm0bTXOGKnOkjEZrGo3WNCy3zsMz86nNuMu9gc9d2ynDJC6qYpHfl707tr4RErR9ubofxdoBiAL1yihKT6RNjNUPAMp1Wqvu8eJP/GsHzxk2VjEmSmpIWZ2ivWnO8Hdr6OvhuA0sh8LHw/NCEZJw/dBGz6tx8hN6nUVukGLjy7TmUW1Nw3aC0gsti/bRvH0AZmiMlMixyN64bD0aaSej+HecEiQ/NDlsyDIEDQ2hwfuoWDuApl3k44v+T0s0zDTvhsxJfpzIGGGyhyjqNPLCJ1th617WOJV6f4iNleoDqDWPQJJSaBELtrPCvc0tcxaioOD6yj30nOaRCJvadPFnYHV6Wv5zHKn8so2sI+WHn9Y7IkNoaKbH64UxRYaGKT9GQ7z9vqyZNM2gWD/EjYXM0wMEoYKmNQ9a3PQFTgtNCCWdeMo/5Mmv/V8Az6tyc/fdd2PHjh3YsYN6Ov7sz/4MO3bswF/+5V8CAC6//HJ86Utfwmc+8xls3boVX/va1/CDH/wA555LYzcTiQRuvvlmXHzxxdiwYQOuvPJKGIaBW2+9lSslvb29+I//+A/UajW84hWvwK5du3DLLbfg+uuvx+mnn/6cPBchhLNzSBK14LKNRJZzkZjhMGyHLgrh+jTtMNT+DppGNnnX6Wfzz5MSc/EHCyPbDFZDOBQrXOAzHNcdrjkQUEJ31oJRlV5+r+NeGa5bQcNZDu5FbDRa05DlPNan93a2xVcUaJhRUDCznTIzvCmx0L6sPtZROIwpTQDQMufwiux7ee4LEGVkCSuA4boutI+a/rMHC3ivFoR1tVMws01ZVXohChIW7UBJFCCg5QvKbCw8XvwJJN+rwFh27qxdw+8ryzn+HEwQCCsG4byHdsrO1ViEspGaLvSYhBp42CxCx+Px1kN8wwOAx8WDNNQylLv1a/tX/J2EKcSXKvtAQuEKq9UFEgQZtrOCI8Uf4T73ZwCogsHqVAiiisPkdn48ZRCLPpfjlCLU5LazwvuMKnl+zltYoGGKYlt9D4bVChly40OoYnoKnUIp/9sfG+vyF1LDgN/OhrXIa6oAgXKVlgZXpfQOK64B+xoTsKN074lQrSoGy16A7Bs0qOfWxm+cu7gXrRtaLn2HskiVFVFQIspeWFG07AWek8OYxZ6o38q/rzenQIgXKUba3l+iqEWEcI/YQR6g7+lx4WCAjIIQB0Xfyh7uC1HUkBPo/dvp5Hk/yDn0ZHZwml6ACuuuW6froQg0rGU4Tol6Vl03YiAAADH0mmieE12n+7zeyJrChF3mkQmDrbULjQOR+cuK2p6Sf7X/NxXyaFia0TGfwvdrrw0CADklWEcFQcScsMTXyEESsMw1WtPcml+sHYAUYppz3ToSgoyC290AqKmDeAiPRvYHAJwVkAn5LD8vjNXmGxDMOX4sV2Kj9+EsfiF6dABoWktw3QoqYtQAwFC1Z7lnQ4AUeQ+MHpqFYobpr8NrBlvPi7UDkX1eF+i6yt77FukVtI28hpZH61QJMt8DwjiOFVTEFW58kuVcR60vnocqpzkzHEDXknD7aBhvMIZtZ4U/Q7mNxhmg4/UQ7gJA9xZmpEgm1iKDPpT8EPBw0WlaKLUXjlPCg7jVD4fLRO4bZlg8Lf+6aH2qVfYJaoRz+DwIX8fzmrzW14bCZaHyAj7N+AmKzr6gEHtunhGeV+Vm7969IIR0/Hzzm9/kx7zlLW/B4cOH0Ww2sX//flx22WX8u+HhYfzkJz/B8ePHYVkWjh49im9/+9uYmIgmPu/atQs33HADlpeXUalUcNttt+FVr3rVk7Yrl8s9recifjgOC+sIY7VKvUCwIHbjzhcg0DAqcQf/m4FN3qOtu/lnm7ytHQsjC99qR7fkOuYKbheQw7GxJ3qG8HkF0MT1reLejvvazgoW7UP8ebq1hSYNZ/37h6zsbQsf8y5oXZ4xYqkiNubFOV+Jy3YcG+63jvozXfj3i/YT/PqMgjnsuWNFxM6UN/MwFkIcX5BKRq5F6/4Ez6ipg0hqgWDaPn4kP6SrvX3tBU/pPb2uzzBqhGtI0GPC5AR1Z5GGTLWiQkUKPTCt+YjwabYpBUAgVCxV9vEQyGguWrAMsQ1ronAFmn69IkbowObUkMQSV0Xu7VstQZTFe68GJhw+Wc2IbmAW5Hbl6qHy9yPPEwarc9RDRiLf0Ry7qCECAGbr+0BAIht+N2G1/bx2jxQrENyOZf89ExAk1D4YyEfeZztaHvXy/XD507QtfgjMamCWWCaQum6ra30elqMSzkMEgmfttm7ljEmM5S+CABEaocL6GiMgVWECjiBoGPQ6lbswHKcE06lSi6/XpKFtfoK2LOegywJfCzxiQztBuYBuRQ7Da0o3ancW0sfaPpjc2nGMZS9hjUtDstuLH7YrWoPS6pTuADCUjNY9y3pZvmatiKF6IX5ILsOpAs0rYmtvmTRxT+OfI2sKEx5Nax5Vr7MkAi3QSz/3CPUYtSe+A90LW4bb8mS1gpghrn0/ZXPkDK17eLsh9/G+aN9DB7O7sT7/ah6KuZqxkCX5A9EaSWNeNLz7jsb/o21sV+aIS4lc2va4h5o3IEkyvP/a94P2Wjxs3gmCjLoXzdVkpQGAaIFXAFyJbscEXtLRplrzCGyYXC4I9zctlEplgTcVLgQhHvoTNI86/H5ZQd4F95GIYYWN6241ugCg5SvIbP6ExwcBgUfczr0hROT0goZHnv5PjBduzs1/ZhB0un/p70/fYkBAaCE+ElSoZhAFBaKow3JqHRM5fH8WvtWOsBAU3pjDAl9gWRUjsfEng/t9a0/RD19gGM/9DiQpEwmXoS5yLcrFLyg8dwgIFsXwhs7YYgBgrnxr5DiWTB8+hyWlp7TB4L5tm2U3gSq8mbHjx6QzOhQH5uqnoSf03rNmA+szL49cL5yPwDxJUe/LAnYqqyvirlvnwigL0QMAzWe5AYKxEq67wKDIBTxeY1XCu1vJTpHPQbiafbf8K1nO8Zotq2FH/s08BJIXvfSVGdYWhkMr38c2/TX8GcO5Wg6odVCRezkTUTeBX5ELWA7FsnerwUCTysNFdk9+jjLBoV14Gs3uXfUc9r6bQrQS/Wpg8zfcxnD/dxOk2xFOwG2HF1KoGq1pHvL3ZAiTGtAcmM65o8iFDgF1S/qyDss7QMPzmKCW0IY7hMbwusVrfHlNlO0ZuIKDpkDf/6J5KNJXjDRgSnps1fEN0Hy2lrXM2bqAIHzScUrQpOjx+bYPRFHDt5Z/DaDTYzqqB+MuY0xgwKCKS1gQZYYZ1vZw0eUwflX+W/pczBC2ynt9sPjtEyqdP61ELfM3lf8GjlOCIhcw5AY5k4Q4fnFjv/CvQD0BbC3w4OElyddF3ldYSU+LrHZRPyQpww097WDPESFKAcFgdnfkOEY6AHQqHu0Ij5lu7z6jdipPgiCiZh/vaoQURQ0L1f04UvxRJEIhWn8nmK/s/j3p7fz3RFsx3olUdG1na5QgyEiKuQ6lNaUNoojuuSIsZ48hHApLiAPLo7l7bP7UmkcgCkrEEMcUeKZEt0OC1NEmAEiRLE7RXxa0xV8PhnPn8c8++/hfAQCmK7fQNoXGLuufnExztNrXjXYjIwMj+GD5ZO2FuBUh0bE3BPftfP8vKMSem2eEWLl5jrFaBeOnA1HU0CO20/nS2FLPa2IidRGfyMu+InEy9w8vzt02HnqdIH4dQEdOUTvCguQwJtCX2YUqaFga2ziPlH4Kz6u1xZaLkKVsZINst5B129Bdt8KVsfaK8t0W45pfnDMp93TQW4evGUZY+GbFVAFgyg2KqoWLcBKvRcNY/MV2QE3i0eK/dbSFttnjnon2z5lA82QI90uYlYihXSlljGl3ezfxNndDWVziTFdAkHRaIXTD6TEm4DglqHKeb07dcG/xG1x4CfctGw/t3pNpEiSfhze3JKFJtJa9wL1BDOFxR6vPK5wYoj3UajUvYTiOGwgXVzy55bLqHH/SYx4qfhdA5zsJ34+2udXxfdVPwAVWn69hUKrqTiOLLOcwlA4KGRPiwRJW9woBQK9GPSQj6o7I593mDouTD+O+8ne7XjccWtMeZgNElSkWGlRvTqFpF1HCcRzxqAElTLYQXqPKzrFVxzcAFJuPw/A9pEywDRt0SqYvfPsC0ZePfSJyvueZeFXy3Mhn7D0ebpb4Z0m5gOkiDbcMC6Lt/Vdxon3AhPOzc3/atf3dx/Lqa/+gNxT5O1z1fkZ8jM831ods/ChtHqu1ShYpIYHVcGiFejEpLXilYw4ysL5u93SGwwxVpRcNM5hbq1nzu+FE7z4MQrwI0ULkO89Cf3o7T1IXRQ2KnIImpyPnhyEIMlohRWlamOUsdABw1Lo7cjzrH1nOouVVOt7rBdqFqNqzHYY3mnsbfcYzc2+P/F03qbcnnHPmEZvvUeF9+I7W99EOQRDxq9rVHZ9LUgZjcgEFLzBAsfHcsIN9aGv+DwEAWzKXd/XKAcCjK9cDOHFYYhjthhKafxW8v7xvrOlevDP2cLyYESs3v0Xo2vBJC0jtYMQBt/p5CAxMSJQkA4cbv+Cf31v8xpMqIJwV6UksYN1wovA62q6QaxkeKq0ZOKCLDsufIH5dAidsae1CQ802sW4b+GqLJAMTdtv5702btn+pcQgNP9yq3frcbu0LC9/hJPKa2d2qFGzY1A1+7eInI8na7W2ix4byl07SstTN+n8y75QdU2kLN2v3cBw3H4LtrGC+fFvkc0bgMF+inrKmOYOCt7rAEa5dFMlBaBOkABqr3WoTMunvIlKEto+9n/Bm1i48uW6lq7Dcfl4Y4ThuINyXJ567bANdre/D46ndIh1pV+j8qPeU3t/QxzqEwOCY7p6nCAWyf67jlHC0GKwZfZlduKfUKbwwyHIOvzDpGCiS7mFuDOExJEAIKtSfwHvCwIwI4bWyWn8kcl1W88PzLPSRtSg3piKkIUCUHbHhK4Grrb8tcxZW29iheS79IMTDja0HqCfKz2HoFlo31WhyoVOSMoFxJZRrNl++7aT2ADc0NuUQi9rtpaDG28mGKrJrnAjhcSAJCh9HjlPyawTRZ7jV+UXkvGN2FUfEx0547TBW854R4vDQ6/AxrJo9wHIKA6PIatZ8hrCwLkmZDgF3vuF0bU/DPAagc6wQEMyXb4NlLXIhut6c4lTP7WB07mGigSfMOyPzu1Q/2PXdWPYSis3HO+bztcufQ6+6qTMnsF2pgoC7K/8IIMRs6lmRPTSsQISZXAFgfZuizu6xKfM7kc8YqcZjzgJurn6145xK41Hej3VQg+vj1u2rKi+MUIM9Qzva30n4GFHUI+uiKOp8vrTLFP8pQJ6m1+ZZNKj/Z0as3PwW0WhNP21PDjtvXHxJ1+9dtw5D7Y+4g59MAWELgWV3hqoxtFux29EtdKsd43IvTGue08dSwUDkz9Qt3CmcK7HaJqYqvR2LJK1DEmxYQThaNKZ70KfrVmSD9wMrasbA2hX1DGQiiaoesZHX13dtX1DLg17/tPzrON0sAJjm3AmFjvZnYws5DWELNj3TXkY7gmPlruFYDKKow7TmO4oxhjcRln8TPkaAwMdFuJ2LwlE/z0Hu2JjDeTysb8L9HfZyLTUfgSz5lJ5+YTn6u4dp8VG/BkXUUvlUwz4FCLyo3WrXYCF3rB1htFMKBwmrnctqu2W1XVFsP4/9zsLuBEHm84Up5t0EM0KcJ81FWA11ayFSOypoCy2k6jglnCufBQARazTQqWC3h4YxJitWG6rbPRgCD2xorRSkzusSD7ZTwqJwFAOpbXDdesSSy8hWWJ8wOuF2sDGX0oY6vrPsBQiCiAuT2yKK5vbEpbRZ/jxTlX68dm3AnsYKjAKADo0/IxV4vUgh0/ZxBCBSLDO8jk8UrogksYcRVrhYHh5niPRrnLE1VgwJhbKcw2WFP+d/L1tREoBwTs+oGCXh8eAhQVId7WdgBRv58SfwoAQKq5+PBwGEdOatMrTnl7TDa8thY/OTzZvD7nzX9rDQ6PBYYecktGFAkCEIUsd3He1L0PZZ9hJfQ6ptifqGPgbBF8Mi3mJRh2UdD4xo/j12Zt4Ik0QJh1htszAICHRtgNJzexYECBhMnc4Jetj96H7WaTRkioimDgYlESDgkcp/tPUV7b+yuITe9LbId6KoYU3uPFofTFCwxqP7ZLNLzhlDrxaiCu+y//Hwb0b3HFHQou/S85q8FlbYy3eyRsPnG4LnPe2fGLFy81sFpT4NhL4OWmOe9E4XG1qtl7lV6f8NgdIcd5ugSbmnq9U4LDiEF8FwbPlqCLPydIvvD1uQ2CLIhGmeoGpTq6IGGtLSNGcimzurEs4S1iUpA8dr8u/Zfdutk+0hOaKoQ5bS6A8JaKwyddg7lNCGkRTykCQDsqhGPCjh52ECAtsQ0smNkMRESOmhm/pKg1ou24Xa9k1vHRnBSOpM/jcB4Ww27B11UxbX5s+PKHJUSIsKH+HFO3ys7BcuXW0D9rwmNhQuQ705xdvPLLWsLczLwMJoZDkHAoKR3F4AwJ7suwDQDeQ16TMgiCpndwrjj4f/J/+dCcPtFkhejV0bjoS4ZRPB78ebD/JNPyyMs1owDAIEzqDXDYrSB8upR+ZSJ7PTErdes2fnbQ1Ru4dhyMEcC2rxeLx/ZTmHLfmrIAhyZOwFFdQDNqP2GHRR1CHyOjTNroJxtzUg/C5YgTxZzuH0/Jv42FElA7vlzrpPrE8EQcR4ht47r1BBhY0RpnCFEaYEZ0JJRu70VrJ7dHhOI8JepwCmKr1IJkYw7I1jEmdAUwdxZu7tXBnjfSYouKrwuq75hqx+FQBeS4Q+q8zHFiEepmot/3faty/J0twPUaKEIJa9gP3F7kLTqekUt+IDdD55xAyY+bxmYDDx27xToJZzSTIic/vx6q8hy/nIOsEUlrBip8mZyGdMqGY01EMJej/mFaq7Nh9LxdoBPkbaMdkWCrYz0wOVRBksqUElAwECEiRKmHIiY1h7Pg4BQUo/BUBUkWHjot6k3rqoZzfYW8NKkar0IlzwFAA2SoMdY04QZJyefxNf89k5PMfIczCSPRea0he00yeAiSbIGzwXMp/a7LOn6rgg+2cdz9EeTs1qk60PJfWz+w8KeVghNlX2nExxY4WjBUH23zUt6i3JWZQsGgLLSiHQWmS1rl4/EbRQrmnNc883AcFluXf4/RmwgqpKL1peGZM4K3INWcqi7iygac5BUXowrKYhijrONF6/qgFm1B1fVZkN55Gy/mg33AW5UHQNlkDvEzaQCuLqYZQvKBDy9H9ixMrNcwFNHerYjFmyX1h4ardMRCxFfj5EsNjTisJ5rwBRSkYoS9kEf4nv1REEEUkxz3+PsjLRRVDXRkCIh3RyY1cBiVmMRVGnx4LAspcwnr8EQPeQqqCKuILB7G5ez+CSNQZGcnvxutHAwmfZC9iTofHjxC8sFtS2qKBhLfNaPbT2yepWeRpy0AtFzkKWkjheCYQU4rW4NZAtqKIgY9AdxnDmbJwt/Q7WGed0vW6ENYq4qDYOc7puAEiotN/Wpf3imiGrUs6YRNJfjCUpg97MTjyAu5EEZWdjiy8jNGDjpd3tnzMmoQmpyKYfXvz7Mrtg6GNIaYNcyBEEmSsebOMMs5PRNgWbwvHWQ34b6PthikNGXwtR1PEKjZIgjOUvgq6NIOlbBJsute4VxSX+/PeXq3yzDNc0AoBH6zXeH81QqFi7UpjQhrFU3Q8BIt9Aj1fu4t+/Qn+d34e9UESdC+5hti2Azi/TqXIllSnRYWa7WvMIVJ8mmZIUROeCLOf8hOB6h8AU1J/xIsrjy5Sz0ZvZ6RcAnOLX4e0iNlpCzRcuHL9tBqepZmPB80ys92iNkUgulz/OaMXzqGEiYqHkycs6NCWPvswuZIwJsAJ5jlPCocbPeH9k1JEIcx5rtyRlAD8n7LoVGh729gGWc+NG+iKMMCU4G+9jHg07CefQMHjEDqjZBSWipOldqKwnU6/GbvX3/D4lMK153Fn6Mu+7nswOXozzxsbByLntgiUAvKH/I8gYE74yRuvOsHYXVDVScyQh+W10ac0RVemPbKaRsDwhMHSszZ2P04U9CFPqe14Tml/zhfXZCqpc8QoLZoOp0+ERC65b4Wtw2BvAniuvMFa16LrJFLjTCyIkyfDXXRPbcpQxUJIy+KPB/8nHiK6NRObEeEbyn7cXilzAUsvFWanoXtCb3o50Yg0kOYsdyeC9qUo/xC6e5HbSjHCbtyu/A1XpR6M1g2RilAr+/rigdWiaXDE29DHOPhneW1P6OGUj9MklPK8JQRChSSLQxctaBqPnp4yWuhoYBs5IXgEZGkyrM68umiAfMqbJOQiCAs9rol9L8OdTlB7ktbGO8xvmHCbzV2LFeqzDO1X0Gtgq0P1KFLVIaYRCeqtPYb3A+8R1K3CcEhynhK0yLbbK8vz6smfytaTdg71D2IGWOYux/EWRz0cMOr4YK6gAAa5n4S2952FMT3MlEgBkKYFS/VGMZvfSwrYCHeu2EOTQthufUv7ztMtPY/mL0DJnkUyMntDzklCHefsAYB0ChSioKddc1dj3gkJMKPCMECs3zwFMa67DGhJ2mXZTJiKf+d6SMLOJZS9AEhMY1zNIasPcujOS28tpNO8nB/0N2MNLfLrc1WL7dTUPz61iIHEaTku/BoY+FgqBEbFNoMwnspTm1r+MMYG13jhyxiRXZIZz50EUNb44UppfE2PC6X49g14kJAJFSOK2Rbp4swWt4Fs9t+ZeDyDqVepLnorh3Hl8Eey2oLHKzzTkYIlWlpYMnJ95D18cCajQk9LHOZ00IR7O6clBgY4Hhf1QSVRJ1NTBzroRUhqynMOrsu/z+0iGymhb3Wj8vec1kVT68FLt93h/9sjj+OjoHpxrjPseJmo9ujBxsf8MtLp0zuuNWNnT6jD2JrbyML2NhctpewQFAgQsV++D7TRQahxGVqUhPwPGViTELBUm2p6DeTfCm++fDryO92P43jllHfLGBEZTErWSIw/LKfpV5+tYL9Jk9AzJQRR12M4SZIgdgit7h3v7MxAEMXKfcLgVg2kt4OzMn8D1ax0Jgoy1uYBlblcvFRAsewkbsYsrfu0WP1Xpxw7tUq6kSmLCD33TOwwDtG+8iLCrKv1wnBJ0KUe/XyVOnAlMDBlVxFJlHzyvxgtZOk4JhHgYz1+CXHIjDEKv2WucGgknkiQDipyHqvQjY0wgKXYq9Rel/xgAtcqnkxsjAhALvwx79zyvibXaGbDdOir1Q5G5dEbi9/hcXuNtxEQ2arig7TY55fP5qY1IJzdCE30PXxcK3zDYPLTsBejaCBpC0y/Ad9jv42AcsLYCnd6nhl+gL4ycl8VkxsAbR3MoKPQ+k/krqREotRmVZkDW8GdrTuVGkN7MTm44Ye9/JLcXt9h3w/VMOL7CosgFbswoJGgIKltPyxYB+wcAtr2Ilw9EC2kCdN3q0QT+dx8ZRb+mRcaqIIhomjMRL+TeQh9sZwWyROdMOrmRhh8JSX5uy5zFcO48bqkHfIE5tRmbvE1cSRNFnYYGiRqfm72qFwl5ymvUm+q6FRxvtVBIb0VvZid2JS6PzAlWy8eyl6BrfcipIoS2pbncnEbTLkbql9BzFrA2fU5k7Ql7pnioEXH4eZLveSDEQb8+CUGQuBGH0qf7oc3ExrC+gytKfZldvE9qzSPc2MPu0ZPejtMLYhcCF4eHfbFClX2JU/1zNZTFFYiChN2ZIFk/oQ5zSnmGsLJQbD6OU7N03d7VK6E3vR392bPgeRYuTb00cv+cMQnPayLn9eIc5RI0mk/wewPAOYU8XxM8z4y0v2kVMZw7jxtz1gpbItdWEGUgrVvHebubVhGGPsbnvulTvo97p/F+TGjDGAtFIPZmdnKFcY3uoWq7XImkNdwW8Xv592C69EuIgoKXDdB3s8Po48/khNYPRS5gxFD5s3FjpKhhoUmNE43WdGQdTvsRAD3p7RBFDS3zGJeZcsYk+hOB8hf2bJ4swcTzili5eUaIlZvnBOKqeQ6iqEeS29hC7RGTnyNKBhdAJF8IVpV+mD7ziOM2eXjBTOkmEFAud5Xo0NQB5IxJrNh00VjwKRLbQYgHAoLHij/GocbPYDsNLFfv5yEkh0XKVMXaqir9aFlFPOj9GqX6QZ78ebx6DzzP5FSm1KOk4bB7O79PyRJwrHYntubpcKv41uxj3gokyUDOy/J7sT4wvRpmS7/m7fWI7RdsDBboudJvIs+0WLsf69Qz8ah4AKrSwy31ANC0jsOyl3yvwQzuXqljyTqMCxJn4UD5nwGAW80dt9qx+DEB9ielz/rP5fBnnvETasNC8yhOwy/q3/SPtXFo5fv4zYKA39Sn4HlNbj273Qnej2UvYUVaiHhpjhZ/ga/Pf5ZXxV6yHuH9QXn8bUiiCs9toGTSa85W78KjK9fDshfgeU2+2QUx/jl+fQECpmsB778beu6qO4/l6n78anmZ9h0UJNQgHEMh9HpT5D7uUTAkhcdUs/AghtsWG9w7ZFrzfly7w/uOgRAHB5xfwOOU6h5nmGLXYefts6LscwltmAuxlr0AWwgJnB4NLQrnELhunVoV25LR6fugY58RJ7BnYv22Gn7WeNB/Dg+OW44cO1O7HcXaAVig958r3+rP6yCnxLTmYdkL0KQ0rl/5ay6Q0griBn5tXc//dtwmV7IB8BpJAdEIFSxFSCjXH/YFttO5APCb8t9TbxYEaFCx2BJ4VW8m6ISL+5YsD9XGYcw24Re4pO8hSk9NhW1qWTfRk96OdHIjmuYMdKL5Bfho1XI21tl1wsp1Qhvm76SnS3jhr8p/i9uq87hrGXD8UIw0ycNxGyg3jkCVA3r4O5YCI0jT9r2ZxOaC9kzpJvSSUdSbU7zvWA2lMMLsXeEwSAKCv36sM/dNlNIY1oNr3FO6GvdaUwAQqQtSSG/FcnU/n6P/WjwcaUO1cZjOL18pZoagqjUHSVTR4+c7mNY8irUDuKH65aAuj7/eeJ7J896ONoOtnxAbLVdA05xFT3o7MoqKAXkSS5V9HfNruRUIlrXmFBaaDkw3qvS7XgujKaoE/qK5H55b5d8dKf4ociw1KNS4R5GBGmAqmBIP8uc4WrkN1cZhNMzZrmGKh1eu4wrVYuXuiMGQzWF2j6XKPuxbDta9sGc1L9BQUFao8vHiTziBQJKkMeqOY0E6xo9PKFkoSl9Eaau1qGcnoQ2jP7mZsyP+5FgdK/VHeFHjR6r1yJivto5BEGTsb/0r7ia/DgR5fxxO11yshJTvSEi118JS/SHUW1MAgGOEeeRpX91p/hAANXgKoo5C4hTIch6uW4cs0ciSljlLPdg+K97Dwj18brbMWcyHtsVSI4hsuPk4wd0eZQ0VBQUEBIXUJO707kZCG4JHbNRdug5effzv/XdhRryOtrMCPWTL8YjtG3FNNFrTXUIIRSj+2rdc3c/XKUVOUQ+SIOJIo7Mg+snkCcf4z49YuXlOENTOaJ+QntcM4kElA9XGYYiihnRilJ/jOCWuJDCrqm0vwvNMzLZaaJozWKru8+PvqafG80ykCFUSSvWDqJCGXwAyGjIgihoMfQzF2gHkjEmk9PVombPQFEq/bFrzkOVchD2HnicD8GDIfRAFBYX06bCdFXheE/nU5ogQkFAKnO3HdlbwaJWGtD3q73HM2lsXyvA8Ew96gRLD+qAcokkNh5CsxhIFAEZiBE9Yd6LizFIXtjYA16WLW5LTAfuCC3FRqR9Cy6V9Z+hjGMzuhiyleftkOYdCeiuPu+5JRV33bEN8vPgT/m6J14Io6jguTMO2l5EzJmklb20Y95hPYJgMRDbS6cqv+HighdaosKcqvTwHYzgTeN+Kobot7JymOQM9sZbXLXCcEvf0iKLOPRfMGt4e13595ZuR/ud1EEwq9FsCrdkzY+9DvTnFhe1HCFVgR4VtXIGa8ZbgulWfLtXhngtJyiCnqDASoaRtf8xo6iAXOhS5AFnOQYSIhleizwgponhsSgeKkCRqPsMS3cBb5iw8rwbLXkJPejvuLH3Zr4AeJHu358hQb1IdBNFioGHKZPZ3mGZcEGSk9PEOQ8Z/H6QW04Q2DFbXJ2hvAhBEeAJ9dlrnx+0a1sWEByaQesSB69Yxou7wPWUraJnH0LJpDagwWQUbU6wAbIkc46Gly9X93Brfk94OASIICPY5/479Ky2ahOzWOZ04E6BUpR9LJp3XRyoOZDkH2a8/VGs8yttt2QvQ1MCbsFK7P6APF+ki0B7ix7wW4bHZMmehyLRvV+rRsDIAeGn23VgWjuFYo4VTMn59KXjIJalXu9Y8wp8zrwnc2xmmYGb9lE5uxP7a97p61TV1EH1+mD7Ld0opQiRMDQA+vCE4NxFabz45E4TJSpIBU6DCaaM1ze/PapKwMKN+b7AjXNN1K8h4gRdEVfpRbRyG61kdjF0Dfn9GclVCY/u+5UAppTVQCHrS21Az53Gj9QuUfZp3ww8HZP1SsoJ1nualgCs3KX0cfZldIF4Th1euQ8aYwEZyKicKAAKFjhfJ9KvJV+qHIp77ZGIEKX0cU8UbuKefzZFscpwLsuG6MGEU0lsjeX+SZHREMRwzazwHlpGZyHIOhypRhS5jTHDlsS6UcUR8CEfrd/D7luoHO9i4LHsBKX0cLXMWNScIK9xZMOC6FfRmdlL6fEHiYz6lj9PCs4IC017E6ULAWMbW7l+Y/4GxRAaCIPM6TAB9t5a9BFlKQhDoHs9Y+jzPpPlo2u8hY0yg3DoK163gaPEXfH6w+Uk9fDpc31jQXpR5rkHXyIQ2DDdUe25dWsKxyh1+vhWlxl6q7EPFmoHl0GvsW6Lt2Zr2ow9CxkCGskUin9WaR6DIBfSkt/M+CIona1iuHUAyMcrHOQGBaVNjXLV1DDeV/4b3DwMLJxfF7gboFwziIp7PCLFy8xwgXHU+HF4hCCJUpR+WvRAwkPgWoWrrWOQaPentEZczD3/waYXp900/Tl2DJGWwJBxDy6exvKv+HZjWPOqtmYjlmFlBAKoEVRuHkdLHIxYUxylFhMlkYpRSpdpLmC7+jBfNYopVJSQsGPoYas0jKIWEETbXnqg1qTXXDwk5WPxnCILCC3DxfoIQEXK6kyTQ8Ce26UpSBpX6IbrROFTAY4oj+z2MskgX5u8sfBIA0Gwdw3z5Njh+jD7rh2LtAHe9L1bujljZwot7mKLW85p4ovwLEBBO9em6LZQxj/txGxynxN+J69bhOKwmkYOKPed795b82hB1zNei/RMGE64arWmIosbbzjw97dZQIKDbZIJGLrEuIliwDa9lzsJ163jE+nXkOkzYXq5RgezO0pe5AtUQqvCIzTddtum7bgXXlb4C2wmUfq5sheLXbWcFnltHqX4QC+U7KCubZKBpzvA2Ttct/rsIER5xOMMR7RO6iS5X92M8fwksJwgbY6Fm0T70+PNG5pzft65T5jSjYasfIQ5qzSN+SGHQf5+fvZlfjyqpwZhpmjPwPBNzZlBgL7xehNGeT+O6FQgQ8HjjFj9uXENCW4OWeQxr8+dHBCx2LlM6jpV+FbpfsNHbXhO2swJV6UXTXMQ+cjvPB6GhaHLkXe4HZXmTRAGuU+ZF89pD9lrmLLe4hw0fNaFEP2s7Puy1CIONtW71UW4u/x0EiKiQFn5QuhcA8GDzx3w9Cb+rX5ZnuLeTfZ4xJnifVRuHIUCM9DkTmExrHo+U6TOw0JYvTP+faEFfUcNUIwiBCdeZ2o6dkVpLh1eu88+JevFFUePP+RBui+Tl0Dok/XhMuC/0Gat1FFyDrYdl34vbDO0rEcp0QkOHGInL/mIDS5V9MK159IrrMVe6Gbo2goXyHRBFjffLVMsvRqkNQ5IMrDgtlC0H+dRm1JpHsFi5m6/vlfoh/LT8Nzy/EwjyPdrnIBXOF3y2Sw315hRqzSPQ1EGUfSVfFBQkE6OR4pSuW+chmGEFZ6X6AM0hEhPQ1EFk9DFe24wZq35V/lsQ4iChBoWcHafUMdYq9UNceVxwHsFU8QZYdpEbO1YL/WbGpnB7byouQBBkLPlj9GHhIARBRCG9FbXmEV8eaKKQ2oz93q+gKr0RYX9QmsTt9kNgNOXt75auhU00zePcQwn4Hj2RhhQ3zRkIghhhJGVotKapgctXRoshhksAWPCNGy1zloefJbRh/L+VfT5pQpKvJ7KcQ90MCqJafrjU/ZUf+G1uduxPLYd05MTYzkqEpp2Hyetj3CvJyCWAYK1wnFIkD5WBGTc8r3vNpRcM4rC0Z4RYuXkO0B6HHtQ7oTVcBAhccOQClFuJ0KmuVO/jCgazcCS0YfQrOq28Xrk3dAeax3C0eisXGrLMkuFv6Jo6uCrtcD4RpTJmISTs+Ja/KUhSJrJIsDj8sPDSaE0HMdT+5jzfpAtiETWutHjExkhuL81Paa/T0h7E3QWEeKg1p0LCCFX68qnNlPqyS2V3IGBPy3v02V6Ve3/oWeSOcDT2bO0WQkMfgyCq0NRBnshJvxf980KhXk4Zoqiin4zxAnERCktfGABoqEc7BXV/ahunkQ0njDNGoyBfwQwSskUdkmS05ZTQscYUTyZo6GKeC0rtEEUdlkOt7bpMk55psryB8dzvRJ5ZkjI4VRjvvIb/bFfk/wS6mqcJ7r5FWJKMDkFXlrMYz19CrcC+Yrk+fzEPW7Q8F/CtkqX6QW7RDQtvbOweKf4I4arzrA8ofWpU8Qj3L/tcFHVAEEJhbFFLJhNaqWBG+36mdBN/J7a97FtTxQiZQZjq1/MakWuG31l7oUICgmxiLfcKNc0ZEBDMlG6M1PJoL2SbNjYBCNjBEtowRFFHSvELV7pV5I2NOF97KVQ5qsCFa49carwckpTBotXseG8styOMdsY8mSj82DAYrXpQODNa26gvsyui/KhKPzR1EHON/ciLSQx5YwACgg4AtN99I0I/6YlcjwnfYWxIXxD5u9Ga4SF7ZSvqMZZ96zR7PkJslKyQEYnlCgoyDFniCuJ4/hJ6f1HjhCMM4X0jJfbxvylblwnHreJ49R7+TN3qN9nOChS5wAU4gmAdYgYhAOhNyDRjyA/V/Hn5C/QYCCiSo0jq66hHWBuB55lcaRrXM0how3z/GlCT2Efu6PAos+dP6et9Ybr7+kLDh2Q+Jj3PjDCRAUBC7YOq9MMjNl+zAqOWAUVO+e8gIOdgaJozPFSv1jwCUdSgaUMgxMRE4Qp+TBgnCluqWwt+eLTC85kW/WcPe/10bYSP6TBSJBlRxPJkgCtsilwIwnQFBaZbhWUvhQwzdKydLtAcIKbUhj3X4fIKYQ8lADxh3QkAfM8uh3LSwtC1ETS8KHsh88wbUrRIJgQBAkRk0UdzZP21jLV7XealfE065NLxytaX9tBeQhzMm/RZ2+cGM1Sy9VMQZDTtYtfwRCBYX5hRs51S+z8FPPI0lZvYcwPEys1zg/biX6FFNyyMBhOV/k+t7wF/O6NM9rwmMvoYCPFgejTpeSB7Nr8+Y9p5fe9/55+NSWdE7m1a8/D8+iWEeDwMpC+zC8fKt0baW20cpvH8vsWFLWbUZU5zA8KLadjSQogHVU77VLM0JOm8gQREUcOFvVEu/pp9HBljAoP6Nv5ZuBZFIBDS0IHOcCKZC3+uW4cs56BIKSrwEa+rZUqW0pBEFYpAE1UHEomADCFUuyBcv4JdHwAyCapwNk1KGmFa8xHqX0I8iILCvWkAo3xWcW52EOfKVIBi7Q5yrugmyELQ+jK7QIgLUdRRNqf98CWPJzvTZ6GKgezfR9dGABYm44cwdVPuWN+xcXeetgOWTb1H4SROgG6Se5NvgCgoPAdquXq/zx7GFDmPkjAIMrKq7PdbL+9Hj9hIJkYxbzaRkPJUoVWZUOh0bHK2s4Kp0g3c+wSIeLz4E+jaCFy3jtMLOleSe9LbI5sws7Y7Tgn51Gasz1+MQnorH8tMGab0qUv8Ooz+mnkbJDEBUdR5LlE4fygssFPvTL8vmNGN+dL8n0eUi0ZrGro2wkkFNHUQy7UHaThqciP33HSrX2Jofbx99N79yItrI4ItrXuk0QrwvjVSkoyIosFY28JeOc9rYrH2oP+eTb8NgdLLkEoMAfAgQMChWg2eW8UphsHbHCYDYOfmjEkaIulW+e8A8HuFU09oRGBjmQqAwfiSRS0iqFv2AvUyJCewJqmil1F1C9TyL0CguT1++GBOCbwqjlOKel38eh+jZDSSO8RC5wgIxtJRuuPBFKv3wtZwhefWtBsUpJCxZszbiEJqG1SlJ8LGmEyMcnYySTKwVdgMUUpDkjJceJdEHdsyV0Ly19W1+fP9PKyoMO6FvAlsPWK/M2FvQyaogwUAv9/z55ScBgQXJvaiL0GVIOox7eVKk+2RyNhbtJq4IEHDp8LCvSQZyKc24yzlNbwfAMaYFsxXy15Cr78Xseu2QuxwpxoXodGahuPn7aT0cR6SCcBnB4vmOrUXcgSoMUMUNXieCUlUkVAHMOqti5QvYMxwdJ+LKmMstNVxG9CUXMig0kRfajOGc+dxLyYAOG4jYM8MPe+mdAo96e0gxEMyMYqHmjegZS3662TQ7po5h1GV7l9sHlv2EjaJa5FRO2vseJ4JVemHIiWRTIxCkgxM5C4P5e5mUFAprfba3PkAwrTJvaG+1dA0Z7BGT8AjNtZkz6EhcP6+M5oKnoV55NYYZ+D3+kZgiD2Rvvc8E9PV27gSdm6KPgdTdgkI7xtBkJFMjOKUVBK6NsIVUYa+zC4a4kuCcF4qy9i8H1j9qHCYM1PKGEgot1nX1uIFjZgK+hkhVm6eAxASWODCbEA0rp+Eijt6vrUmHMfc5AsSZeuhi3ipThMrF/xF3mHc+j7TTnhj2Vi4HI9YQR4LEIQBEeLB0MewXN1PSQHEJDbmXo3RPKWJZNXE+1Jb6Ibgx6kDVOCdyF5GLVK+MBSOnWaot6bRk9kRxBIrBJ5n4lDZiWz8FyUvh+uZqLq+QCll+KZBhXsPjlOCIueQMya68t/bTplz7ktiAk17hcdoB8Ix+LMl1Dya5gx29yVpXygCijXKMhcIeAq3SrOFWVMHkTMm+TWZZ6Zb0UeWqCz7bHCq0o+k2ouKRTCQpIIUU1IYwxlAF2JFoOcsVe5BOnkKAA8DiS28DWGrOutf21nx47uPQfA3uzW58/hxkZwQf/PRVFp5PazEAOAKaSoUqz9mJKCpA3wjHcvRWihllwr2W/JXwbTmYTsrMF0qvFP6bpHnZDRa09iRT0EVdF9IorlnSW0NssapXCmhOQAedmXfgotzH/Dbsh6j+VeiZc1SWtdAxkW5ORXxAoWtlcXaATxe/AmSUo9fD0PssPSx3KbwHBQEEZZT5NZDel6S57i111ey7IWIwNebCAR+Nq8arWn+GVWgJH+zpvk2Q7k9ICCh9YIuzTl5HQzfsAEAjlPEKQjeDdvUwwQJ7P+wktKf3olu2JgO6tq4nonxdLAlsHkfJgu5dE06xBHGlHIpEuooCgqadhEELjzPhOXW+Ti4tngfkokg5DVaf0eLhuIRwud2XlgbeUeSlIEkZXCWeCZ6EyLmvBIEQcaQeCrNm/NDZuh1XLRc188vEiK5LLRvHbhuBYogoto4TFnqEqN8LgGAJgXHA8AWsh1AsD54nonbF+n78NwGWF0sALh0bdDuW1vXYrm6H7JIjSqctIE4MPQxWkVe0NCjURpf163A9JnibGcFEpG5h7bllv3+Ck0IUCPUaQiMX2y/yRgT6MvQcgEt/xTFN4ydklGoxxEC5lsmnihRinBGoyxJGdjOCh6wj0bulZZUjKZE3j5R1PleV6wdgAeCZGKUv2dNyfL2GPqYv9bS/uHKeMjrfV/xW9Rrw3LyJB1GYiTi0WTMWuF6aBoPNaPnbU1fDtlnvLSdBpqto1hBCQJEbjRxvRZsZ4WOE0HiIXJBCLmIXmMSexNXRPpgrvQbGCJdY9ge0puajPQ/e7akBFhuHcRrodGaxun6JVwucN0Kr4U3qG/DoDfgR0uIXIFNShLPh2HPx+bMuvQeqLKBAX0LDXcWbF6HSZaS2C5ugSIXcLT4cwB0HQqHgDetJXieid7MTmzylV9CXJqT5YcMWi5dZ8MekGP1ezBdI1wmCUMSVb7/5FR6zYnCFSCEhjKGC103zVn0JkQossG9eAwj0lb0pLdH9rINyZfzOkgsxM11qzwvDgAuNv4bREHhcoos5fga2TSjY/kFh/8iYWl79+7Fe97znmf9urFy8xxAkXu5IGPZSzxeP6ENd1ipWb6FqvQjZ0xyi4YAgS9a4QrEQ75w27JLSCZGUUhRr4ftrOBYky7kh1euw1nKayJMKuGkznpziteuadiLKLvHcLT48yB2nnhQBT1i4WQhckvuEQiCwt3u6QQVztvzesqNKc5c9VCJfpeQBF4vBABcjyCp9GKduMPPSwlCfk7zufwlyYDj1lE3F3mBMvp5BlRAbFKa2cRamNY8JtS9KNcf4RYhTR0MWIlAeCjKviW6cI4adGENwijGO0IJALoRlBuH0J89y78ubYcsZSLkC45P6SwKClQ5zd9x015B0/HwneI/0xoVflIjYzgDaIz2YuvhSFt7UlvRJHSMpLTBSIgHey5KqdlC2thE454FBUeLv4h4tdg7Ys/GhHEjMRoRaJmVmDGe5VObMV1v+bkiVPGuOPTclfoh2M4Sjtn7qSAgKNAkMZJrYTsrfGMxZAFTxRtoTLZk8DozpfpBnhvQsqgVdgYHcVPrWkhSBtXGYbS8ChS5gIZ5DFU72Nx1tQ8ta5Y/Zz61OeLh25N9FxQh6YeAepFwQYAqp6nEABeCqEdLgSQGRfgI8Xy2PDNq8Q9ZhcNYatlcOGq4gVU5bNXUVTpGTtWoFXWhuj8SksKurQgJ30sYUCT/qPgZSBIND0rp0TCwsLLNBHFV6eWCB1NCZDlH65R4AftXw1rCF2a/j2RilLImhsLOiGdBFHWeTyQJYU9TBeX6w5DlHGXlIjYVnDgRSI0rATmvnytdLLeMtTNIEg88nqnEAAgIery+yHdM8K+6NhQR2KT2ghAHa9AXhOSG2r+rV8Vydb/v6QzeFzNkJBOjaHk0zKhSP4RGa5oX2AWAlEz7kynP/QmNPwMLB3zNiEMtyYIAQhxUG4dh6GPQpWDMDSa3IpkYRa15BCvVB2BatF8sexn15hRl+HNW8FBzyX+fwdwURQ09yIIQO2JMCteHUeQCxvOX4Fe1r3BFnq0DLauIYv0wJMlA0QJnFEwnN6KgEarogUAEJfEQIGFQ3+qvZ7Qw5xW9Ywij7to4UnH5ms7qzujaiF/7hyqTTICuNg5H9iEWkkvzBR1uEGFjoie9HZa9EKGXr7coWUvYUEHgIlwU17TmqaLgt+tA7ccA6HrB6tdsUgbQNGfQ8pkbLXsJspzDqLwDKX0MjGq5Zc5SD5achyxoOIZFTszD+r3oPBHxuM6VfsPbd2bu7XD9EMOGS9vP9uNRX+ln74jVwmOscpThr8JDaw1FwEKLzhOWjyMItB7Y4ZXrUKw+iCXzMJKJURxeuY63ybTmsew0/PU4D1HUkNLH6XzwvVpMSSbEw9EGHdszpZt4vpcgyOhNCMj7zHYsbDGvj2OuaWHQG+tYC7cnLuU1qpiEIBG6RhVrB3hoMKsxpooEnmdHjEWSZGB/8ZuomfMRoqZHajdwT2RgJLA7wgw9YvNCzCcqWB4jwA9/+ENcdNFF6O3thSAI2L9/f8cxpmni3e9+N3p7e2EYBi699FLMzMx0XuwpYu/evRAEAYIgQBRFDAwM4Pd///fxxBNPPKXrxMrNcwDbWURKD/JY2EZkmnORDVeAECgy9iJK9YM8TCdcjd5xSliX3oOMMYEx3y1sOTWIgoyVapBgOqjp6MvsorU0ZA2O24AAgYY8+GFNLAGwac5AkgxUGo9CFjQMZM/mwkUqOY6l1mF+f0FMwPVaSGprsOzfL51YA0K8iFUXCASq8cwr/LjsCjJ+RMcTTZ/JSR2AKGrQZRGLlbthC1aHV+Yg7qD1KNwGZCkNxy1D8hNwWegAs3QB1DLem9mJR+1bMJ6/GHpiDXWnO2Vu8VWVfihyAYPZ3dhW0CAIMn45zzwWOUiSgYY554eUGfwdsQ2SEA+aT2WcSazl1syUPh5R7lyvCZEx4fkeM0nUUEhI+LPh/8bbCwByaIPW1MFIqIooKEhJ/TBEapEsN6egKr0REgEAyBmbYJpzyKmj1OLlC+CRqsy+0txefLXaOAwSajsT3kRWTE1QsDFD870uL3wQBIQnbBeMCaroyj1c8L/TfDRSVBMIkoeLJuHvq9qK5guw/C1m/T1e3Y9sYi1XeBcrd/lx3CYeqlNmo5wxySly2b1K9UOUsEGgdOxFcQnzjfv5+6HeMArG6Na0ir7HUocoJqm3wWc7EiDA0McgSQbPs2hH2JsGAKpIPZuCoGGl1snyRfuXjouGUKXsRP6mzcPkRB2GPoY17lr/WsFSTT2TLjzPiRBlUO+tx5+13pzilnRW86VUpwnMrluD7aygaa9wg4Emp3FB4nd92mArYp3NGqcimxzH/1q3hwoJHiBJaRryZUyCFQWNvFPP5CFN7P1sTvTzMD+2LrbnBnhejT/DSvUBJLRhnkjvuhXfgptBSh/HfeQ3WG4RHLCpF/EIprFcOwBRUNCX2QVJykCUkjDkIMTU8ccUYxsDKJ3vz8uf521KJkY5dTgATKQdLqACwXrneU0ocoqGyblUqVmXeyU/rt6cwhMhooGyPRPxqEVDqDQeRqMR1f/eC93LxNpkgp/DCD2C0B4FvalJ1LxFrMu8nK/nbB1wvTp6jAm4bh0Plup8rNWaj8P2KPmAqvRjZ08SqeQ4RMnATJ3OO9tZgetWsCEVNQ4UFA3XLPxvsKLSrC2O24Aoyvh5+fOoN6ewPn9x6Jm9CKnDQvkOrkQwg0i9OQVBkGH6TFvVxmNYn78YWWUECXUAHrH9eRHks5rWPBeKdW0Epl2Coa+HKGroNU6FKmdgu3Xofqjnjxs/4O9A8pmzCLHhwEGlfoiPWVXph66NwHIqWEe24HRtDTSljxsJJ3NXcHZQFnoeLltwT/X/8fDS4w2bvxdF7sUxu8rboMgFHoGRTm7ktZvOSF1J+9QpoW4TrEsFLKmE0FAtSc5iKLcHopREThuNjDH2TrZlskgnN3IClqZ1HD3p7byQK6OjN50KDJmO7csKfw7iWX5YO402CDPzWU4F8+XbcATTeNj9FWcnZcau28pfRNPP2T1ap2OnSAKPCQsNZvnILVeA5QTzn62NSX0dD00E6H7BIiOAzvwztnY95gRkG+1GgBc8yNNkSnsWwtLq9Tr27NmDT3/606se8573vAfXXXcdvvvd7+KWW25BrVbDJZdcAtd1Vz3nZPG2t70Nc3NzOHbsGK6//nocPXoUb3jDG57SNWLl5jlCvTUdpeEMhToBvmDl/y2IKhDK94hWOq5AFDVU3Xk4bhOmF7DsNK3jGMu/CgC14uQ1EVVzFsdbDyKj0rCXvuyZSCjZyLVpHYuMn6eShSxoOF65gyaJ5y8BIR5ymk8J6dd3Sap9qDWP4KLs/4DnmbDdWkSgD4qN0gKNh1a+D0at2fD375cUqHAoiSr17lgOMsYENitBaBall81hQNyEpco+KEqPTzltRsKwAGBL/io4LhVANHUQAkSocgYFb9DfHCUIgoKmOcPZeGxnBVlpDa5ZuQOEOOhRVezIv9lXllj9ExGylOZFykQpid7MTpyZezs0IQVZzmGhfIf/bnScqp3P3xnLjWKCHmdcsssYSwG3LNDFn1nQmRBOn6sYGR8esSEJChoey4dRMZjawftaEGQY+hjWS2diMHcOFhsH0TJnkdCGsTZ/fmQ8MkagbknIM/UgLIS1l7n2V6r3YaXl0RoHboULXzljEhlpEMSzMISNfAxslYMYZ13ti1C/5jUBhHhI6ePI6+sjAjvLeQEARg+7Dbtp8dDEKK7q+xA//jHQ2kpNu4icMRlhQOO5LoQWKUwSWoSW5SmEk8htp4bB1A7k9HWQ5CwkUaeCdaj4n6L0+JW+67ygIxPMPK+JnvT2aJ6JqGPGZe8rmlsSLtK4Xj0bmjqIBorQtYEIgYEgqrDsJSTkHKYlquzq2ggXthJyDp5nIquPQoDkC1JBfoqqDkTCRS07WjuJCkW0n6qNw1zwatpFGIoIQx/jNO/cym4eR7F2AHWHel+nG9QKDOKi7CsI7TkXQKCscQODGPVcU6txO7mABggCV2Act4HjIUbF5ep+uG4FTes4zpX3wlAAGxa18JMcjMQIFKUHi5W76frlNnDfiofR9G6/bSm/bVTwYQndLHxKFHUUEuOQQtXfS7aEXGIdTsu/DsnEKAZ0kTOGsdogR+p03LgIFBZBkKEI4OFGpdpDQQhwaPwzL4Hl1CDLOZyayvDCk0wp60lvx0IzCOliDIGK0sPrxDieiYXyHZhv3h9Zn0VRgyrnUbOOQ5IyeM0IM95IMBKjeKRMfIExgYeKFlzPhOuUaZkAdRCGPoZkYhRFO+zlLWDKWcFfbfoLADTxnxlQqDLUwp7su+i9hSQNd/bzIJnRwnKqkSr1hfRWasH3jTgbE7SYdD41iceLP4EIJeL5I8ThXh025uk7OYaEUkCteQSeZ+J4dT9qzSMwrQVOkCKFPD255LjfrjpcsMLR9FnXpHaBFR/WoOAnzZ/BtI6jL7MLTXMGTVRQa83x8yU5i7yxkQvT56b+CC27jIwxgZcOKlibPx+9mZ2wnSWMJ7LQ1EGkEyNwvTpSiSHo2ghst46bHRpa/gSoEqupg3jUWkZGocI9y4MCqOLTtFdwYfq/w/SC2i7JxChEfy6WLA+2W0cuOY50ciOyyXHULVbHrpeTGjXMY/j30hQA4E7vFi6bZI1TkZTaahq5FYzmXoF+b5AbOll9q0KaFp9ekzkHycQoNmZof86X74CujcDQx5DSx4M9R9Qw1/CgyqmI8UAUNeS1MfT5USq8SGdijM+RlD4OVekNwtYIparvRZ6PCda2vswZvB7YCxrPY1jaH/7hH+Iv//IvccEFF3T9vlwu4+qrr8bnPvc5XHDBBdixYweuueYaPPDAA/j5z3++6nXr9Tre+MY3IpVKYWhoCJ/73Oe6HpdMJjE4OIihoSGcffbZeOc734l9+/Z1PXY1xMrNcwJquW1Zi3wDaw91apmzXJCnsfcOF3TTyY2QpAyvKu15Jo6Xb0fLnIMighdSFAQFM9Xb/ZyOPtxdWYYsJpDVRnFb6xH0preh5dMZA3TxYOFlkqjyeNssBn3hQ8ITlRtBiIuiGbB29WfP4gxbt9k/hiDI6FcnIclZf7HYxRUO9j9NxqbUmrK/x67xZRjJb0dKkeC4TSxawUITWJEoaLx3KgjT8Re2lD6OB4vfjsTXrtQPwnZrWBSO8vhntomyxENBkLHsHMFL/WRNQig9LSGen8ybgec1YVrz3EIlCAqqrVlMk/sx5gaWf/pumpgm9/PPSvWDEQu/49I+7EueCtsDtuSYhZAW7qPha3me88OEWJYkW/eWULXm0JvZCcteiBSzJMSBIup4qHkD5su3cSVWFGQcK9/qJ5ZmYOhjaFnzSGjDGMrtoe8gVBk8r1HvnizpaPkUti1rHunkRqSNTfz9yJBg2iWM5S9CpTmFureEVHIDloUZmvBJHDQdF6qcgSjqtOBeazoQdD2Cfn0SttvAQuVurugIoAJzIb3VV1LpgLmpcQ0A6qG6ZuF/8+/+sHABRnJ7IYlq1xoTYVTFIh9X7HnZ/5KYgC5kMVf6DY9d17URJNRBPk9YEnZCGw6RS1R4DSLmxepJb4fl1pFNjuPMTB9Pek5owxAFhTIcVvdzr8Oc9zBMax46sn44ElUCZCnN6yIJgoj5JhVsVMngClxeWAsQF4uVu0GIwws9Gn5NG9Oa58f2ZnZyT0k7iQWLnS/WDmAktxemNY8BXUS9ORVSoOlcZd4XRaSK1imppD+21vPcBNtZgSgoMPQx5I0JCH4oEwBk9LW+NTcYuwD1/oE4SOnjXEilAk0KhJjwiAPHKaHgs72xHITezE4MpM/AD1b+GikZXCBtCk3ktFEoPN+tF4KYwGLLwnyTMlINprZHxogs6diSvwov0X4XjltFSh/FTOkmJEMFa79w7GFUzGM4XP0pbKeGmboLx21wKmKaa0TXvXCYKiEOSrbAw436smfyOUzfSzSpG/AgCipsD5ir3oV0ciMf38vV/ZywI8GVVxNjqXO58rhYuRvJxCgm9MDgQpnZ1sByirDdBly3gpkGVSQ8YqPWPIL1aQE5YxKN1jTO7leQVHohy3n0ZnbSkgLNKTRa0/j1vMs9AZKUQFUo8sKOjRYlPuG12ZwV/Kb89zTfcuX78DwTi5W7OXNnOrkRtlND0y7ycbJSfQAJtQeOT7O/Bn2QpAxK9UchCCIeL/0H71u2PzF6eU3JBflpgoRC4hS+byTUAsbyF0GSUlxhm5BfCtOcQ0ofj+Rnlghtv+OWANA6Zi3rOERRx33ejdRrRGxO5/xE+Rd87WDtKDUe49EAd7Z+iEZrGpX6IRxr0MLMS5V9fkQFzRtlRSiHlK18TJwh7KE5tfYKNHUQjltFUVyCIlJvMvU8B4JsUunDlDCNhfIdGMrtwVBuDyVjcGg+2pJJvWMrtQdRbRzGSvUBeB6dh3SfNdBoTUOR8zhLXwdBEDFX+g0v+lxpTmEqxE8jihqNNnAXMaQmsTZ/PkQxCUVOQZIMLFX24Rz5fLS8CmVRlej8SKiDMO1F1JtT6E1sRNM87s8HF4NJAY0W9ewwY1BSWwNdzPO6PbkkJZVIinkcK1MF0LRLkMQEVyhlOQ/HKcH2SXnCnvGan8OWTKzDCxrPULmpVCqRH9N89hS6e+65B7Zt48ILg5zN4eFhbNmyBbfeeuuq533gAx/AjTfeiOuuuw4//elPcdNNN+Gee+454b1WVlbwve99D2edddZTamOs3Dwn8HhBPSY0i6JGmcGyzHpIhZVwKAdLDK42DsPzatRCRTxqoaIph8ipAnIJGtvqOCVfmfBQqh/ESws9qLemoQo6nmjejoXyHajUD1FrrtIPIzEKx23wJFECAkUu8GrpSW0AkqjjTPUyqJIBVmW81KBx+YPZ3dgp/w50bRiPVX4OWUrCtpexWLkb6/MXc6E0ofbwjUcUFGzK0E3W8Y0+lI3NACGdzEwAXTSPtG7m3g1RkJHUhqi3yb9urXkEE4UrYPpKgGnNo2BMotaaw0z1dgykz4hckwl0CXUQO8SX83oNHoCm7xlxPYvnrAgQuJfCcUqQRJUqikIZjlNCxpjgBSoncVaEEce2F3nbWQGzYUzgG4sPwvX3olL9IDQpg4a1RGOE/Q2tac5AkVJgU/NMkTIR1U2a0KnIBc6IxVjediUup+EcbhO6NuLn5ShIKFlIYoJ6sSDAcRtY4CFlkzCteRoW0vRg2suo1A/Bdes0FtvPGajUDyEhUsvdvDQD21nBUuswPK+JudJvUG0cxnTplyg3p+F5NRzFAmy3wd+/qvSjYEzCcUpouUAPGYFpzWM4S5WspnWc5lbo434OAmW4yhgTGE3t5qEIE4UrKDOZOoD7i00sNR9BozWNsfxFSGjDHRTE4TpNDKY1T8NV/DAdy17AoZXvI6ENI6EOwNDH0PQFs6Y54zOB0ffArPMMhDjIGxN+PHovSo0jaLSmUawdwM3VGW6AoEaMLCQpwT0sRmIIWWkYhj6GJZd6ZpinjeVAtMxZlBtTcLwWZf7yrc2KXECKZLngqqoDYFTJDWsR6eTGSF/oUp5bp5khQPY9EjQ/goYDml4Nw7nzIAmCT4phQoCAbHKcez4dp4R/P0Zj2hdbDmQpCY84UOQspy32iI16cwp1M1A4R3J7UWvNgXgWhpN0jUjp40gmRrFQvgMJbQiCIKHWnOKWfUVOIVyTq0/agMHsbrhuBYR4WKrsw2zp17gw+2dwiID1hAoqNkw03SLqrSm/js0SQByckk7wop5l6xhn3QoTutzW+A48z0TNr6sSrtX1+p5JzmblenXUbBdjmZfRtV2QaXFbhVZlDyc9K3IBc03wMKUJnImx/EWcuIWFkDDlltW3OtwoQ1N6eNicKOp+zgUdg9VWENt+uPRvvE8VuQDHbeAJ527kU5s5lXOjdRSuW0df8lQIgoiWg0j9lYoNeKDGhqYroE/aQOd6ZV/keYYN6i1WlV6Y1gIeqfwH8ipjXvNpzrVhahhJbsRp+ddRIpRIHS26hlYbh2lOibXIjVDJxChMuwj4dN2SIID4yeJhAhRGNAEApk0NMs3WMQzrO3jez2LjIF+HdKWA6fJNSCgFqEo/bHsZCZKAKCVRb03xtV6RC9SDJecg+Mx7vZmd8DwTCbUPY9IZ2C7sRUIbRja5EQIEDGR2YSi3By1rns4lmyoTrGYOa1/GmMBcw4Wq9FMqczmNhCwAfs2ajDGBh0s/QKM1jaHkdtzY+mcQ4nEyIdetQyQi7l2mNM8tczaSQ+IRGwPeMArprThe2Ye50m/4d4Q4+Gn1H6AqvcgZE1yZdr1WME7cBtLJjXDcBrKqAEXuxZm5tyOVGOKkDoN64A3sTW+Hac3DdKpouR7GvNNAvCYaTZp/pKmDOEJmecjeYotGNrTMY2AkENPlm0LebQ8HS1aIRt1nkTWP4bHSf6BhLUJTB2ktJa+JueZ9IcptB01zBvnUZuRTm4P6an4ekaYO8nWQ1fJpmkHY9gsSz7CI59q1a5HNZvnPpz71qWetafPz81BVFfl8PvL5wMAA5ue792utVsPVV1+N//N//g9e+cpXYuvWrfjWt77VNYzti1/8IlKpFAzDQE9PDw4dOoSvf/3rT6mNsXLzHIElQTJqRUHQUKkfwjKrNh6qZcIpoSFwIZxtuIY+xj0BhHhYaBLMV+6i1Y2VXmSMCThOGZKUwVSVxu1WnFmM6ed0tKfaOAzbWYnkddjOCkzQWNpq4zAct4oFcQF5ZT3WZM/lmy0AzJdvw42Vv0PLOu57WBxOXzpb38cFrkr9EHozlJ2pJ306Dlfpgrh/mT5Tb2YnLfDW+gmSiVGkRCUoyijqXFiQJR26NoJe4zQ/vKCGrB8+IAgiXNDEWqZI5OS1GEhtQ29qEk2HKj2sPxu+dcj1LNzc/H9Yp2WgayP4t+o1mCnd5HtL6DvziI2EtgaO1+Legpa1CNOp4t7KdwAA9dYcr7tyl/kvgCDzxFgCgqZdRD61GT2pSVpEjhiYIBvxaLXJFae50m946MtghlolcsYkXM/i9SfmvBLqzSle/LEvtYV7tjzPgSzpuLn8dwCowsdosFU5g1LtYf7uUslx34JHlTDTrUIUFLSsIvaZ0+hJbeGWfce/NwsrfBiP8fGSTIzCcir8/WrqoJ9TRGv+HKj92GfIyfBxt1TdB1XpxVzDRU2kBTEb7jIPjaQUprqfI2H4nqYiFs2HoWtDEAQZKw71JpjWPJJiUFhyqnhDkPDrjyEWHw8Aj5Z/yoV9pvixTS6lj0PXRtAyZ3khuEJqC5rmDA37ITYct8prwrBrAEBGH0W5MeXHb6eQ9L0mALAW/XDcFjdqsEriTFi0nCpmm/dCEjVI/vsIW/uZQGs7KxAgQpKzPElW1/pw0PolF3ZNax6KXMBi5W5qlWw+HjEYOKTl5zI40FWaqK1IrC6Ih5Hcy5DST0HTXkHNPo4jVQe2vUyFE22IK1UZX/jb3UfZj0YMSphRSIxTZVGgieOUWU6HKMqchexY+Rb6uZTGLxfKPnOdxNvZshb9YsJj3IKuymkeZqTIBVTIPFo+vTcAPw8qg59V/g6Pll1kFeodk6Cg6Bt0XM9EOrkRA9kz8W+1OykDmiBDVwqwnBp0bQC2s4Jq4zAOVv4NL0m+js4rYqM3s9N/HqoQHig6sJ0aD5H91+Jf44nKzVBkA6qSoQULHQErtQPo9+nJWVtbLvUCCIIEEQJMUsNg7hx4nolc6jT6vP7YVeQCzYkUWigkxvnalk2Ow3XKWGk5NI/JN+pQ2luTGowkHWl9DTL6KPqUCTTtIiynyGvECBAwU7oJhHhIyAH1b0ofx1zDheuZqDWP4G/nr4NOqGd3MLsbkhjMzbxKvdGWvQRZyuAl6ddj3zJd0xjNc8ucRb05BU1OY8a6F5a9wIlzUvp4JFSThqM66M+ehZHcXuoN8ywQz0IqOY4fV74cEXZFQePrykD2bCQTo3w9zBqbUHSe4Gu+Igd06EuVfSj4hUYHU6cjmVgLFy76UtuoB1kd8D1JKyg2H4em0JpUa7Lncg9+ozWNARRQEerYmDyf5siCYAvORrH5OM9rZSUCGFjdHstXAhy3CstewEr1ASy2bJ/F1MGougujuVdAlnNIIIVTtfOhqYMdVN+/Nn/Anytc22q+fBsewm1ISj0Q/Jwzhr7MLmST45zF0rKXoKmD0NVemE4VCYUaTEy7CNetoOXSPj7s3AJVTPF9pGIRFNJbIUBAzZyDJBnIqmsgCMDN5b+D6JcnSCc3IpMYwazzAPdu37FSRql+EIrSx8lt9FA9G0I8TJPAKCJARD61GaKoI6WP+mGFtF97MzvRaM2gZS1iIHMWXLcCSTLQtIuRouKmYKHHn4fsXEUu+KycL/DQNOI9/R8AR48eRblc5j8f+tCHOm7x7W9/G6lUiv/cfPPNz6zJhEBYpU7hY489BsuysHt3UPS2UChgYmKi49irrroK+/fvx3333YdbbrkFGzZswIUXXohqtdpx7GqIlZvnEDS+X6QCq2+ZyiXHeTIgQMMKjMQYAECUkmhZxcg1qo3DkESVFx28t7oMyRe0bKeEav0Rn3q4gsPuPI2vd+o89yFMmRmhBA59d6x+d8BolRjFkncEM7U7udCf0IaRMya5xY4lClv2AnLGJC+UBgSJfGxDKDencLjsW3V95afcmIKq9GO99BK0zDn8tPldX1HI+DkCS8gZkyj61ZSLIdYqBlFM4dGV6wEEFtb51oNYaR3BXOk3PBSv2jgMScpAV/t43s2G5MshidQ6P5l4Jfoyu7gHjeVkCIIIVU7DtOaRNU4F4KFpzvCFklWLl0SdbnqZnT5jj0YTOwUZLnGwXHuQVjgXH0BaltGrUeWnYc5BVXq5C57VkCk3DsMjFmdwagg1iL7An9LHMVv6NReayo3DWKrsw1j+oo7q7gklCykUHlepH4Kq9CKhFDgjFEA3sD3GGBbKd8D0Q9FoTpYBVemB59ahEvpOn6jeDFGQYdlLWKrsQ19mF0xrPhgD5hxeZvyhbxkLitIK/ngv2RZnyjGdKmdmc706SvVDfo5EHfXmFCZTr0KpfhD15hQGMi/BqcJuSoUrGWBrJ2PaodbISVj2AlSlH01zJlSrwuVCdNOc8YUhaoFnyuB4/hI+H4p+PzVbx9Cb2QlV6eGK1HByJ1q+92e5uh8JtcenXJ7xWaBkZIwJ6DKtocSMGozIA4BP2T3Li0jOl2+LeJmoVZdaVZOJUeT0dRHvbqV+CJqchqqwWPIMZ/VixCH51GZ+v4WQdX6l+gA1GvgCoq6NYKb0K1Qbh1FrHkFGGUJaEbmRgil9qtKPUv0gUvo47lyyAwYmu4jFxsO83oUgKFDkXmhKD+rNKe6lVuQcHKcMQmxsMqhC6xGbC8Msrr7aeIy/10aosrntrEARkijVD8J2mxB844fnNZA3JvGotYyyTXMQDtVuoBXW5QIy2hrUmo/heOVuXJR8CRy3BUIcLJTv8PPvGnxNHM68BAecQMFcquyjRAm+t2ZAl2EkAkFsT/ZdsJ0VVOqH/LaY+NV8C55nYq70GxAQFGsH4DhFJCT4lm8TN1f+AWuxBfPlO5BPbUaxdoCvS32ZXZAlSlE/JvVipnQTX9uKtQMgIDjoztB8LI3mKTLvKwC4xMFK9QGqQJMGnceiDselIV7sveaMSfSotK6X55lomHOwXIJ6kzJcrpG3oywuQZYS1IjkWViu3gfPbeCuJZOzZNnOCnqFDB4XnqCCsTUfofYtNY74+5nov+9e1JpHIqQmjAZ5oXwHZko3UXZRn/ykUj+Es4w3cPZJARLWZV7q14bSUDGPodGa5h5s223SPE2JzoeWtQzLqSBjTFCF0V5BxpjA8foDsJwakoKG+fJtAIDj5du5UcHzLE5ycbT4i8jaei9uhQcPs84DfL4eE47ROe17ldj+zPraI1QhbZmzGNTpeJflHHLGJJKSREO4iYknzDsxVbwBAHCw+M9QoPjeVpe/42PWffjj/qvQ9PcNmvdJwz9FUceAuAm6mIfrVqBLea6ULlbuxk7xlXwsJROjlL7fVyarrWM8TD2hDaNs0r223DiCYjNgVFwxCVaqD/Cx5Lp1mrPr1DCevwSOU0JCG0at+RgWK3djubqfe6XXanQ/EgQRitJHvYStY3S98o0Ia0EVtf7sWXCJ6c+hEq/TldCGoamDWKrsw7rc+SDERN2nKnfdOvdwMdxe+hIWK3dT+cT3kgberhe3+JvJZCI/mtZZ8PTSSy/F/v37+c+uXZ21AbthcHAQlmWhWIzKqwsLCxgYGOh6DnkKRAfZbBYbNmzAhg0bsGfPHlx99dU4fPgwrr322pO+xov77T5PEKDwBdHzmnyDSic3YqV+EJnkBn4sZeg6xpWGMHsOg2kv8qKDU8J9fHIqcgEQJKhKP7U6wYIoKJRm1A6YcpgbXBJ16kUwJiAIIhy3gUJ6K8aN8wAAGwqXQRZVLNUPYk1qF7X26GNombNc0Fxj0MEviioXegBg2K+rwjwpjKnIspewrUAnVVoRffa3Iix7ATPkQeiJNViXOBsJbRhGYogrXKX6Qb5JNM0Z7ikIEjcr2JN9F7dqiYKCemsazdZR5IxJ5FOb/fh8GdnkOjStRZqoDOBQ9d+R1+jQXxHmoISKKCpygSp0ShaV+iEIgoiGtcwVupTUz2OBCQhsZwUbCpdhrvQbX7i00XJKaJozPMwLAJpuEZeMAD9r/RIALcApiipXQGjCMbUUMqGu0ZrGdmWMhnRZi35hMx113wslSxlo6iBS6KWkFCEUawd8alWZJ2xSy/4REI96FZgg8litwcdiuKJzy5yFR2yMC1QYOSf5BtSaR7gysFKn9YHYGBClJDZnwww2NJ5dlrI0wZh4mLHuhSylYTs1tMxZX/GvR8Z9MjGK494jAKg30/aa1CooatCUHowY9D1Z9hJsexmpxBBXZg2tjxYUFTUQ4uCc1Fsi9MiO2+BWSMnvv6pLlTrTDyux7CWIfsw4E1qMxAimyr+AIudgOZSWmvWV7ufjEOKgWn8EOVXk84TneolUUGReU0PphSznsLFwOffKUAusB9dr+orvNI77OQphavOmTT1BzFvEzm+0piFA4IJwzpiErjKigqBeh0NMSr3uWViTPZf3TcNdxjl9JOKxAIBC8hSoSr+fm0HbkVMF2E4JlnXcLz6sgbHMtUxK610xj/EQWMAnN/BDJky7RN+D77UeyOziY6Df2IJeYxKq0svHrk0o82OteSREGuHgLb2vwUSiBzmV1rJ4be6PeUFFFpbjeSaWWy6t1REpILkA4icez1buwrkqLTjJ1hpJ1HiCe09CwP/P3p8H2XHf593op/fu02c/s89gMBhsBEEQC0GCJCiKFEVSolY6sizH9hs7Smxfp5KKHfs6TnJvUo5TWexru6y8vnYcR1YkJ7bkeNPiSDQlkuIGkQRBAiCIbTAYzD5z5qx9eu++f/x6GuRrJ3bs8g2vr7oKxSIwc+bM6e5f/77f7/N8HiO7V0uFvcxJr/LWQ1MrrEgCJSwaEbsYqZwgJeW7prvUC7tFsS+pXEteyQhdRgYCEGt1M7tnLa1GO7rZVb5puLYYTYbRtZF8MgmwU7+LojVLnJm4p6oP4CRishNFnbzhNFa5h121x0hI8BKJMHbEdFaxOdJQGamcIEkifmB8huF4kjgJkFCAGNMYB0li2s4mJ1ELVa1ynRVcOmJtfEtgYrV4K1HUZlfpfiHBkzRMXWTqbEs8b6KUb25Dyvb+t/lX+nIvQzTXSNOIUloXRZg+modfhrGX31uSpOZrwTaFqze4iprJcwf+mtgAJw5L0gpy9kxMSfNC93DxbwA36VqqWntbk3CH3KDZO5NlXq0z7z6fPf/kDKed5FPCtnOBkjkhprvmNJtelDck2s4F1gIhuVOVUu7ti6I207WHcSQnlxj3nEtoap1d+t2YCm8DEInA0JA08VhLLnF56/dQlDKL7acYhJv5tD5EyN9MfYKyMZlLdLc9etvQFc9f5raaTKN0BMsYzafDimIzacvZZ1LFUEXI7HL/VVRk7My8LyHnMJCh8jFutJ5EVasUdeGVs7QaQ/YtxImQoHUGV7AyOMd6Kq6l9c4poiTImzQ7K5lsN9ggzYrF1cHZfEJbtkQg57a/UNeGmK19kHdX/kH+OW0XZKpape9epWC+w0M8/5KytD/PUSqV8iJiz549WJb1Z38TcMcdd6BpGk88cdMDvLKywrlz57j33nv/1O/Zs2cPmqbx4osv5n/XarW4dOnSn/nzFEVc767r/hlfefN4Rxc3URTxz/7ZP2PXrl1YlsXs7Cw//dM/TfIWGsSfh8d99epVHn/8cYaHhymXy3z84x9nbW0t//f5+Xk++clP5j9n9+7d/PN//s8JguBPvNaf50gJ3wYQUNWqyDYYXBGdaX8tk6wJo1vV3pctxMIcvN0BFt3zISTJyEftRXkkk31Y2SYtychpGwzoQLYpGTNuZjSIcXlEEG7iB6v0BlcpWrvR1TJpmnCl98fIksqVrT/IHwwRft552T4sY4qF3rO5znx72iJLGqvdU7mOvevOMQg3SZI+smyx4YnFftgUuTiWuQNFsTksncT1V9hKruP5y6IYyDbeomN480IeBJs5KliSxMK7Is/fTIrO0KB3V/5v6GqZrjufdbUKbPXOCkO5JgAONXsvc11xbi3KLLefyXIWQnRNoLe3emczSZpyU7+buKwOXid4C2vfNmdYHryKLFu4/lpWzF5EktScigSwWz7Oi5sKh6WT+QZrp33vW0AMfdI0YbH9FHAzr+SG3xNY2uxn1uz9OXo4jnuUzSnOtX6TJPEp2/spWrP5n2pBeGca5t63bepSUoKolZvWJ0wzez3xM7bNqrJsMVQ+Rk0XuUbn02eplw4x3/4qRWuWneUHKZg7cj1z3T7AYl9ITFS1ipalsBsZ6ODuoSINfTdR3BOFFxK9bKqiayN557NojLPeO5PnMDR7Zzhc+1u5B6Nu3MyAGq3cnaOcFcUWG/s0QsvyI1aUBXZV35dv7LdzVRTFxtTr6GqJje7LOXr2Zo7CzfC5JPHzTm4QbhLHXUrWZL6Z25ZjbX+2SQpbwdWbUwlJY6oiTN8Fc1pQp9xrmFqduc7X8s5zmkbEiStAHHEvlxz5wSqGPoqi2MKvZB3NDMYuSUZG2l5Ptid+pjHxNs+IqY/i+SIEtdk/Rxx1MLQKXiLuH1k26Lo3eHoNKoX9aNkmXdeGGERbWYifRTcQQaNhgvAcZEW1ZYxnBuoyKUK6MvAWCKJ+9rkIXfXOooKilBkp3p5tgGaEF+Et/oDF9lOsdU8RJwFGlhXlJ32mau/JP28QhuPPtb7OkClztKEIqa4iMQg3chTt9rS3aii5hLJWPJifuySjgh0tfRdf6/8ndG2Ize5pyvZ+GqrwgcmyjiKl2IrYnPcGl7mNu3M4B4gN5iTDRFGbgXud3uBybuz+xnoZN9xi4C1QKcwypRyiVNhL113Ip1UgpGdBsEbbucCUVbiZI5T5mUbLx9AkGVUx87UV4Jr3HLKsEUZ9tnpnWemdpuOKTIjtjA8QsqWF7tMkSUiSisyd7awhL5aoKTsEtMSBFzq/TBQP2OifExTBTHLVC5NszRfFrJ3a3KvdkTdOtt9Tq39egEKyZ6Ek6wz8tVwFUC/ent9TaZogS1reIIMsxR6Js53PM1G9XxSipKyml1DVmphcpBGyUsAPW/l5TtMIVRFG/nrpEGkaMlq+EzdYEzlcWjX/GVvpDUx9OL+e4tjBtmZ4w/tq/jXCeyOjKQU0tc7t3MOVVBTv29f+iHWA5uASSeKiKzaypDPwFigVdmPoY3hhJi32bmAoMknSZ7hwC7o2xO3VYnb99JiqPpCTTAdxk2oiQrRVpYCINdjCSi2ebjbzAl9CwtTqOalOlUQmjfDDhbjeEmPFI8iywTe7/2+iuIPrL7LeO5MXyDfz0MS9ahoTvLwZ0eydYdZ8V3b/Jhhag5afZp9zSNe9Qcmc5Jj9HTTlJteDbwlpmL+ILOkkaZT7baKoTT9ICGKHzuAy6/3XcynxWPlE7oPZpdXzZkjXuXhz2siokJSak5m0TkWVTaFuyLyO2xAUUx8jDJss9l/El4K3FabbXqg0TTDUmxTZd+Txv5GWtrW1xZkzZ3jjjTcAuHjxImfOnMn9NJVKhU9+8pP8o3/0j3jyySd59dVX+d7v/V4OHTr0PySsFYtFPvnJT/ITP/ETPPnkk5w7d47v//7vR5b/ZBkyGAxYXV1ldXWV1157jR/5kR/BNM23AQz+rOMdXdz823/7b/mVX/kV/v2///dcuHCBf/fv/h0/+7M/y6c+9an8a/4sHrfjODzyyCNIksTXv/51nnvuOYIg4EMf+lBeJL355pskScKv/uqvcv78eX7hF36BX/mVX+Gf/JN/8hd635IkvApFa5Za8aAwFiZBnu8Sxz26zkUsQ2xY3EyKdrOTpQjOvlLKsj362Bnm8LB0S95t07Uhxiv3USrsJY673JIeIElchsrH+M2NnweygMe4y3YK9Pbr9waX8cMmg6DJ9wz9SL5ZPFD7ODPld9PyruUZGXmyethkuHgQL1jOurUWaRpSLuxBkgwcbyHXU3vBFpWCwJM2PSENcuOUtnOBKPaIY4eKqmHqoxSVzG+TPcyHCweyLBvnLe9ZzvXnaZrQ7J3hVm5FUcr53+vaCPPSa3S9G8xWHsmSp7tYxlQuDwA4LN3HatoGYCO+wt7640xW7suABYHAK9cey2UW29I8gWptCcMr5KShbVka2esrSpE0jVjMSC4Ap53fxY1TTFkhSUPK1jR+elM/uq/4KMPl49xa+0S2QRAgirbcyYhjoqBpZkjTeukQuj7MZu8M49WTKEoRQykRJR59dw5VNtjqnxOfF4nwxWSbdduaIY4dSsYEo+UTTNkKtjVD1T7AUPkYXrCVSbES0jRBzSR896nvZad6XIQ0hm22gqsEUV90/uIBG92XGS2o9LwldLWcTQ2HGDb2Y1szXO5G1NNxksTlWPG7qJVuo5DBAGxjOO9gr3dOcUvlIwyZe/PPZz29kj+kGnqSS7eG5T0oso6mDb+FUifnBVUprbM73Z/TCQvmdE6E2/YFvLvyD3JPwva0YE/xPcSxk0sqkiw4cbvJ0PdWkGWRiu648/jBKrJsiaaELAmZh6znaOeF1hPomgiwdL0b3Fb4ALKsYWgNOgOxEY2iVlaYVdHUWj51LVqzeG+RWzhJEz9YZeAtsLP6MI3SERr6bpLEFZMd7wYFvUGjdISiPpqhefsY+hiOt8DO8oNo2jCOt5DLR0fLx4njProsZQS6TVxvSXTNM7JikriUdSFd2V+KCROXgjGJptbxgi2iqJ1PirZ6Z4UhPNsAqkqVsco9JKkgNfaCFdLUp+tcFNCKt0iVxAQ0oWbvySWEx+UH2PKuimt424QfOzygvZv/c+XXWRqIico3/dfwoo64liQ1I05a7K8IoMZ2Z397gradKbZDbvCx2g8SJwFle78gW7mnhUlfKeDFIoDW0MeQJJl5eQ5DKoouvGIzUjrE/oqR3W9pHva70n6OQSTlheasejdKquIFTTS1SPEtSHRLbaBpwzRKR3jGP5NL98KsQFztvMCq1MTUKm/DJ1eNabrOReT8sy5QsXYiywYjlRNUbQE5KJjT/O3RH81/9xXntbzwud6Pubj1O9SKBznfGTBVfYCytYPbi4+jq+VcmlkzZAytmhH6Qpalq8RZo1hT6/n6P1w+jiTrbIVimrKz/CBR1MbWR7Jp+E00ednejyTrLLefoaoLKetQ+RhD5Tt4uPz32HREsPFI5QQz6WGxLpEiyRa2OXWTNKhWMfSx7Fmm0PdE+O167wyG1gBJkACHysdQZItj0t1UzRnK5o68KFNkA/ktZEFNKWaTnoAoaqFJMmPpdoBzCUmS2QrmiRMvb65sP0u7zkX8YJUxSzQvSvY+ZElI1aJUNDCu90QTdE/l/exKD2WTlTr3a4+wKF8VvhSthqpWmKjez6nOfyCUwhyGIckmBX34pvQ2ajJduod6YTeSJHxvm+4lKoU9jJSPU7Rm0NQ6htbIJ7/bknJVKQvJn6TSi8V6uBpfEL4etczAW6AXin2EpY8yXDxIEDvUKbFbmhLXoGTkpMgkjdit3oui2ChKmbIu43iLAt+dTVoa9t5ckq2qVU5Fr1MrHsyDPRWlTKN0hLX0al7QybJFGDbZbzxIGPVzBPT2555m10cQbuJLPqpi5jCeWvFAft21+jcpp+/I4/8Lk5v/0fGHf/iHHD16lA984AMAfOITn+Do0aP8yq/8Sv41v/ALv8BHP/pRPv7xj3Py5EkKhQJf/OIX8ynLn3b87M/+LPfffz8f/vCHee9738t9993HHXfc8Se+7td+7dcYHx9nfHycBx98kI2NDb7yla/8qf6c/9Hxji5uXnjhBT7ykY/wgQ98gJmZGT72sY/xyCOP8PLLN7GNfxaP+7nnnmN+fp7f+I3f4NChQxw6dIhPf/rTvPTSS3z960Ii9L73vY9Pf/rTPPLII8zOzvLhD3+YH//xH+d3f/d3/0LvW5JUQany5mn1z1MvHUJVTHS1xHbYofAGrJGmEUmGQnXykMaQ8epJbGOYWvEgaZrgZzksowXReYjiHkVznJXO81kHTOasJDYqm93T7K1+IHs3MoYuckCq9gFEeJ6f5SQIAs2K51Ev3k6teJCLnT/gytYfUNCHKVszGLqQ24gusouEkmOMk4xi03YuCP9EGudFQJq4lPQJVLXKzpIojr7Wmc/15WOVe5iLNhl4C7l3ZvuB3Y9WiWKHsco9aGqdofIxHHc+nyqpapWp6gO8KQnfSNu5QKN0hDjx8KK2CA9NQ+LEQ5Y0CvoQimxQNMaQJZ1F6QZWKjq7w8oe2tEN2v4CtjmemdNXmH8LcjTKXnO0fCemPkyYYYVNY4K99ceFX8Bfyad1piY6SNub9YI5TcPeSzeIedr/Q0B4TpZ6LwHi4X6+/V/R5AJvtH4rz8qxjZEcf7mdUL1daPbcJVTZZKxyAj/uUrf3C417tgnpeUsY+giKUs7N6lrWqfLDNgBdb5Gmc5FzLZ+6uZu2c4HN7mmSZEDZ3o+hDdPsneHVwQqaWmc17lJOSnmOhalWCTMS0HZw5v9541+iqTZB1M0wtpsMkiaWVmdnUaEpCUP/6+4X2eqdxdLqgtTm3sg/C4B593m8pIskyVjGFJpUyMmDYSo22EVrFocWBX1YhCgGq5kUcj3fMPekLV5NviFkFbKJqljiOpY0TGOCEWUfVyXxkEvSkCH7Vhx3njdav4WujbA5uJgXPGV7f+bhsgnCzdxTB6L7qSolHG+R/7j6KYFDlS0hP3yLCdq2ZihYO7nof4O+O89k4Q50VWwqUlJBEZL1rFgyMg9dF1Ix+dC1oRxCALDcf5Vm7wwL3afFdZJ4pAhdfLN3Rnh6tJrI3UiE58RLuyJLIptibONzG6Xb+ap7ChASxe0wys7gek5W3PRE5/7ZDYE3trS62MjEPcarJ0nSCFnSBGEqDfHDJjO1R4kTF1UyeHJzkzgJcpnotn8iCG82eMrGJLKkCQpT1GGkcoJu6mX3gfBoSJKKIqm8ES1xoPAoL7VbDPxlHi4cwfOXM0qYmwWSurzWTDLTcfFteUOSfHPCvREIdHzXuZhNoMS95wabJKlY18OwSb14O5vBJQZJO6e3td2b6dkFc5ooGeTrWTdM80lSS1ojRQRVesEWiqQioSDLBsvtZyhbU/T9VR4wj6CpdWRZZTh7HVm2KCZFtnpnafffZDtseMuby+5J4a0RBEuRBdXsX8jx9J6/wjc84RVZc5ObPklJY8S6mWc0ZpjsSG9lq3eW68mr9N05LGNKoH4lcry7JGm0/HnaYZBNDkURXLUP0Ml8SH7UQ9eGmGt9CUMfY1S9hY5z6W2BqNvyXVWtstQ9lQWo+jT7Z4nTBFMXU1hbbpBKCUVznKHysYyoF4r1Qa0TRe18DVCVAqPFw2JNsWaYsQTAwTQm8oL+S61/x0r7m2z2zuRFmSZbDLwbBBn6eVvy6YdNVLXGVzqf4snOL2Wfm4plTPGQ8TiqUsibD2kmB95WX4AoaLrORSxVJkoC1jovYuqj6Ir43JvRHN/sfApTr+G482xEDruTWzD0MRr6Hgr6MCudZ7mt+j3cZo5ma4HwqEaJkBVLkkyrf55uvCp8X2mU59q5YYtHrffQdxeo2XuFb0qrv22qkZKQpqIR2U/FOhLGDsPFgwy8BeFrzDbOllZntfMCaZqwJK0zSKKcBrlNq/P8ZVSUXBbXCxMKmfxsW17e9ZcYqZzAtmaYKp3gu+vH6LrzokAviGfBVu81bLkhVATGTO43XOZNktTPvY+mIUhxploRuTr1x3OpvqbWBKK7/2bu9VOUd/rkJv0LTm7+8sXN93//95Om6Z/48y/+xb/Iv8Y0TT71qU/RbDYZDAZ88YtfZMeO/7nUr1gs8tnPfhbHcVhdXeUnfuIneOqpp/jFX/zF/Gueeuqpt/3Mra0tnnrqKR588MH/pd/hHV3c3HfffTz55JO5Jm+bnPDYY4/9Gd958/B9H0mS3mamMk0TWZZ59tln/4ff1+l0qNf/5ym2vu//CZY4QMEQ3b2Z6vsA8oIgjJ23jN4TLGOUJPGxtBqaIqYkQWaOW+ueZqt39qYx3ltCkmQKqsDGJolP39sujgRtZSoRi8GO2kPsiKepFQ9SKQgDsxhVW3n3wws2BPkqXMfPXgPIk5pVySAhoWzuyORgYvOx6Ygx5XZy+Lanw/OXRRK4LrpaSRrS9sXG4o22CDvcxUS+4V/tvMDL7V8DYLr2MJIk0+ydoW7vp+veIElc1jovUrP3stk9/TZdtizpDOImK+5rmHodCYlm7wzT5fsY1w5RKx5kvvOkmHqlIZps0XHnhdzEmuJ2dQ+TRlG8x3RZyJK8xdxkryqlP5HyO1V9gNXOC5zQH6dU2C2QxWnCivsaE+V78o3QSOUEXrhFwZwWWSxKGc9fYUQSPis3bOWb5O1Okyrr7Kw+zEb/HKXC3rzLq8kWs9IE07WHBaIzar8N4+kGa1hSjXvV99P1buTvQVPrjJQOCZqVvU98vkj4WWCbLOliAxb3CKMtwiThRutJQbix90Ma43iLxInHcPk4pbREFLWwMXm680uUsi57x7uR67RVtUqaJnzvyD+l7y5kmz6xIXcyAMHLW30a6RR166bnbLN3RhDT1DK7ao8x8NcYr56koA8RpT66NsJQYT9u3GKyKELzFhzhH+i7c6x55/CyHAdFsZko35kDBjx/GS01qKk78ywYANI0axAMuNz7GsPSLmxrBlm22HTexLZmuLv6wwThOgV9iDRNcNz5XBNv6WJzsV1IDZePM128hyBcx9JHOVz8G8iSSsPez87SuwijLUGdUsoMvEUcd55D+vvQ1BpR6otQ2zQUmwMkCnqDojVLJfPmbWPbxVtPqDMlZIf2AfYXH2WkcoKdZbHwvxU+oCh2VtQZlJUxDK2KLBuMs1cguNOEVv88umKLIkipcZcsvHaSpLHQfTrLEzJzSehsSRZFkSHlHkJFsVHVGivt55i13kWjdBhVMrJGissgaVO197DcPYWMjKnXM0xul97gMqpSwjanxNTJX2EQbVEt3iLWKX+Zzd4Zrkmv5+dPyFYV2s4FvmNomkdrU9Rksbl0wszonAQoSjmfCC37A7FpjjrIkppTwpLM33QjaSJntEpFsbHNcSSEj6Nm76ETpPlaOwg2afXPs945xUT1fpLEFZtFRXz/wFtgq3eWIHbYX/8YdUNCVSokacgx+RCJtC2hCoU0mBRJMgQavHtaUDG9QJAs/RW6/hIT1fvR1RoaYpIuyRa1wp58Q+35y8Sxg2VMUTB3oKlV4TuUTcarJ/MpdJR6jFROMF64OQmXZJ1lJ6ZeOkQQbtIJxDOiah9Al4vZ9EvlRuvJfNIQx04GK3AZMwUJNEkCNG04n/xtnwc5m/5rSgGPPopSehvCGMimKaa4RiWVojZGpbCHG8pCnhXWiW5Qo4ihlNnsniaMOvTdOaJ4gG2M5j6dJO6RpgnLXaHt73kLXHWeyj8nRSnnzTNdH839lKYxIZ5BpUNMVt+dy2TFNTdKzd7LY5W/TyXLXHL9RVx/kW9GX2O4IAJ8t6lvpcJu9IwEt+6/iZYVOb/T/TK9wWVkpYStj/BM+DSWMYUuFxmvnqTvignMNzuf4oaygB+ssuK+RhA7FMxpVuLzlHWJ3dX3ISGzo/YQYRZkbZti+j4t3Z77XUSBVRbyWy+gXjxAx70ugCbeDfxgFduaoVE6QtnaQUqCptYZzWAvkiSznkU9ACwE7WzdPp2FXCecbf8XXom/RhhtvS0bCmCRN7H0YYH8TlJUWWeifDeGVsvBIBudb+H6awSpS8tP0dQKqmLR91eo2/tEYyU12C/dy3JXNGu21weB2u5gWzOMFQ6J7J7tpkQW8dAfXMnhCdXiLSSp8PoUjBHe0cf/xsnNX4fjHV3c/ORP/iTf/d3fzS233IKmaRw9epR/+A//Id/93d/9536Nu+++G9u2+cmf/EkGgwGO4/ATP/ETJEnCysrKn/o9V69e5VOf+hQ//MM//D997X/9r//12zji21WrG2zi+ctca32F4fLx3LcSxQPcqJkZETcZZN2+XqYZ3TbVDdkHUGSLqn0g908UjFHSNOFr7QXW+q8BYOo3jY6KUma3Ucu15Bfl16hpu3D8tazjuJEnLtvWDOVMAic6xmKTYyhl4rgnxsC9Vxj4a2xlWNV68SA7ag8xXRI686I1SxBsYOpjDLLMhSTx0WQr995YWp0k8XlgzEKTLSxVyXX5ILJLFMVmofUEkiQ2Gy3n8s3gTVLCuJ+bILclQYZWYat3lnHrMEHYzTfYG96b1JIhWv3z7Kw8yHD5OJYxxXr35Zs0NHeBK+EaNUNhR+0hltvPZDAHl+Hy8QwFHVEvHUZR7EzSUcbNAt0uy68TJz6Hat/HrH0/fthmrf86rr8iKDPZOR14C1nAWMxo5S5eb/1njjVUjhY+Ss+5xHj1ZK4RbvXO4cRNorhNMZNtgJC0eEnMpnsxo3GJrt+25jiOHRb7L3KO14jiAVb2YClb0wxJs1T0KbreIkkaYlu7kDITahCuC/O5pDFePUnD0JFlg4YxiyrrTFbfTdmaQVUKDCt7GNcLqGqNV5OvU7b30xpcEQjlYJVihvKcKN0pNkdJgq7VSNOEvjvHnvpH6LtXMY0JhnWLy+Gz+HGXD5f+FrXiQQxtmPHqSVx/USSQSyod7wZB7DCs7CGKe/QCUYBu+sLA/2q7Q8e7wY7aQ7j+WpblFGFoDZruZTS1mHt5LrQ+j4zCRPV+VMXEDzuoak3kSlg7iOIutaSaTU1rTJfuwQs22JRXsntz8abcIU0yzK2gB4kwzyF2y8dpReK89905puXhDAZwmrnOk0iSynrvdH5dlwp7eWXweRRZZ917IzPJJ2hZMvdW7ywDf4W96n35vQaiaLWMYVosM/BX6Lrz9FhnvXOKApU8rXv7iGMnx09fbX0xv0dvpMJHse2tihLR3dzyrqIrEk6wnmd0bAzexNTF+VSUMqYCs9VH8CKoGULeKHDegtZ03f8WG92XWe28wO6amB6vd04hoZAkLodLNQbudRHemuHTJ4t30c9QurrWQJFUWj0RNFgwp6na+1huP0OSRrmm3zansYwpXtxwiVMYMYUk681AEByjuEccdymbO7CtGeqqmNqlpPhxTzSH3Dl21B4SU+q0yBvSq5jZWtJ353P51mb3NDVDyj1IiqzzaPXHMY0JltvPMFI5gabWWR6IwNdtiZMXbHFx63dYchJGiwKfOx9vEhFl61gDJ1jLkdlB2M1N6mOWLrxhagUvWMOPu7j+IhNGgdHynaSJy0ZXZNkUjfE8J8X1F0lJuN1+nK57A0OrECU+VVtIffckB2k5l9nwUgbBRr6OKJKEmoFVbFWsE53BZYalXUTxgCSJKNv7WUpEc2aofAxFMbnVEpk9hj5GyZrMvFmiKJiqPkDd2kMUDzD0ERxvgbnWlwijLXZWH8qfRdufcRgKutnAu8GN1pN0BlcI0kG+HlbUHazTwg23smBSUbhKkoobtnD9xbxgE4eYiCmyncFCVEqFvVQKO0kTj/Xuy3n20zalTddG8mJKVQrsrT+e5X4leFGbME0Y0Q/k711CoaSMcaP1JDOVhxgEG0IFoA0hITNWPsGUfhRJEp6vDxTej2lMEMddosTluyrvwQ83WG4/gx93sU3hNz1a+wGmE5HdVDNmxN7BX6HlXOT3ey9yvfcccRIwiJo30fHxgFu0d7MpLVA1ptnsnkZXbEGuVOt4aYTjr2NoFSTZYrggwDuOO0+ShrR657L73ERGys9No3SYZnA1z9IrWrPsq30HXthmvHCE3bUP0tD25ACF7aNs76cbrjDIABJVXTy/brSezN+zrg1lcRKjdP1FVt0w999GUZuN7suYxgTz7vM81/n3FK0ZbHWYrd7ZDHYhsPGuv8J866sZoGkNL1hjsf0UY8kojfLRfP0OIoc47ouIjf8LhOfbx1+v4x1d3Pz2b/82n/vc5/gv/+W/cPr0aT7zmc/wcz/3c3zmM5/5c7/G8PAwX/jCF/jiF79IsVikUqnQ6XQ4duzYn6oNXF5e5n3vex/f+Z3fyd/5O3/nf/raP/VTP/U2jviNG0Jak8SDt200tokfSeLTdi7kWMyUFFm2mC6/m7K9P0t4ThhEW9TsvSQkDPwl6uZugixvwpMcKtYMt9W+BzWTr2wvlqos4YVb+Emfh817aEfXKVvTjFVOoGnDeFEny90Y0HXnkSWVKeMouwtlJCS2BpexzEkOyeK9x3EfOUsZbzkX2fKu0o5uYBlT9N05GqXDeMEyBXOKvfXHqRUPsNE/z8C7kT+QFMXm+fWArcFV7hxSiKMOSiZfED/D4d2Vf0CaeJkpdota8SAjlRPUS4cyCYPDWOH2mw85XWBQh+NJwkho/SUkJq1jrCk3sK0Z1txzdLJ8mG0qigj32iSSIsqahBu3uKv6QwThJlPVB+i4CxhKCUU26XmLYtStVlFkk74vPBWdQHTer7pPc7X/dcJoi0phBtucJsz8J9sbftFJVOgH61TsWxjEEnuNBgdq30WUyY9ErssuJpSDDJWOcYR7cmLbRPV+uukg11MPlY7lD4VtyAHIjKW7SBKfHcYdjFdP0nIuIiMTZ/kzLV9s1HStkZvXQaTDb/YvcKAqAzK9aI07lUdZ7gpSzU7rbly6HKor3FL6AI8VPsCQvpfh4kEMtSQmWFGP22rfQz9ape1c4khDzSaFQgfdDK4wWbmfojHGzqLCXu0+tvqv83J8Fi/s4IcbDEk3KUuSpJKkEUfVR3HpUDKnKekT7Kl/JN90vGdE5L440TrHyt8LCBPswFvAD5tIyHl+zscaP0UlEUZwWVJFBy8zyIexx57ah1iX14Xx11+mH6+jyDaLjpAMNjKMbNGaZX/9Y4xXTyLJYuO5LbtTUpWeJ+SAVfsAowUtw5vKpKlPo3Q71azba5vT9AaXGbFvY+AtMGEdzbDR21k9QyhKmdHyMb7V/lURgqiWs0DNGaLY5Q7pDqQsYLQXrYnchqSS58kIspHIcRKyLwsQfgNVrdIeXMPQaiRJRNXcSW9wmXJhD4Zaoh2EKNnmVJZElk1/MJflkfjEKWyFc/z6xmdYc87SKB3B0MeIkwBVKTHwl6mXDlEvHWLTFxP37eyoqn2Ap5zLjFXvRc1odikxErKAqYTNfPKbkiJLGgNvgc5gjkerP56vFztqD+GHHQy1xN3DFhUNfrv9OaaqDzCtNHIZlqLYrHdO4bjzPDCu4AUtgYjWhKxJljQW208LZLu8xaPWPWITqjVIUxG2uO2dMZUUXbEZLR6m785xQXqNXYX7KFqzmHKZMNpif0WiXjok/B2QTcos9lUkTKlMo3yUWIo42/osM7VH8fyl3FQPMFQ8ANmUQ5UlysYkSeJSsw8QZrKpCVumpIwJ2lrm8QBBCXT9DSxjipoxg5Zq+WRsOztIlnXm5EukJBytJQzZt95Eh0sicNjQx1AkiapUoFG6nddanxH+K3+Rgb/GB4ZH0BWbzmAeWx9hlzJCQRXTRjdo5eHGe+uP4yVdxtmLphZRZRMJKSd1Xm99DbgZ4ryNDZclNV+jksSnno7n12M7vE4hLdBx3kSSDAy1JKicsk7N2iXOk1rNKJYC/JEkPg17L+PVkxypfl8u3ZIklf9j9CeRZVHw2NaMAGCE6yiywWL7KaJ4wLXuN/DDNlVzRnhKADftULUPCHpo9X6OSLcL6mHaombuou+KOIKN7sus919nLXqTZl9s+sMkzZuMrf55pgo35ctj6kF6g8ukacJY2mBIM7I1USEMBbHzb438KJ+o3i2yg+IBfV+gwKv2AWxjmFm9TkzEYvsp4TPJfIBdf4kdVoEwgwbEcZcbrSdzTL2lNkRMeDZpmy2r1IwZatou2oO5XNXgRqDKBted59EUi2utr5CSsDfZw77aRwFyaErfXWBI34sii7y6pUGAnU3Vt301YdjE0MfQZAs/bHPXkIDXGPrYTVJi1OFW81HxPHQuMogFCXBU2i2IkFkTVZYtCsYEplZHkW1k2eDWio0bbuXPzCSNUJUyplrN5XLv3OMvmnHzlwcK/HU43tHFzU/8xE/wj//xP+YTn/gEhw4d4vu+7/v40R/90f/lpNVHHnmEq1evsr6+zubmJp/97GdZWlpi165db/u65eVlHnzwQe655x7+w3/4D3/m6xqG8SdY4gAVew+r/TMANHuviY2tt0Ca+mLhqtyTj+11rca11ldQsq5RmoZ4QYv1jpBwJInPYudZZEllR+0hDkl7MeQi51q/mSdMq7LJrtpjvOEJZHQY99n0QvreGpvd0xTlEbFoSyq1LA+kbh8giPpc6n6Z/7TyM9jWLjS1KGQhkst9xU8yXL6DQ/ZHGCkdEpIHrY6WBfRV7QMMwk2xSCk2l7d+T3R9ZJ3dtQ+Kjm7iM1m+F0WS2Fk6ySubMXKW4wBQTCro2ggb8roovoIW49WTBJFDGPcJIifL8HGwqeEFTar2ARbbT2FbMwSSj6KIsDlNGyYh5v327VSMaYYsEW4qIeFkD9B2X0jqTtrT+HFKs/c632r/KqXCXpHpo5g4wTpJEmDqDWrFg3S8G0RRK9cST+lHRWZBsJafQyFfuYaqFERafda9GngLmHodQy0hyyq3VUKCJOVC+/P0/GUOFz5CyZzGDTZpptdp9s+zTitH4SZpiIGeU9cG4SYPVP7hW8ATKqpiUqGIqpRYDl5jrXuasjXDhf6XMaQiBX2IcUtoz4OwSRA5+fe3B1dJUh8vFmbxOPF5PviDzJMic7X/dRZ7L7LqwuXBk9zRkJlMdtFyrxHETmZiVlkMTtPJUt1bbwEMJolLnEYsdZ5ls3ua3cUUBRVZLrLuvUHNmqVgTHKu/V9FaCKS8JpIKhd5CVUy8aIOVSZQ0DC1CpIk0w2F9DJNE0IpyNLKReCbACUIpHgQrjOII67Gp1huPyOmKrWH0bUhakWxkWgkoyioOZq2okwiSTIjhSz4Le5SNMZwvHl6yTpt93pOT9uWcr4efpUkCXJJ4dX+QBTlsSPu57Cddxm3/U7D0i4kpPy+SdMoy+oRm7K1zreQJJVrg2dp9s6g66Nsdk+jKhZf7v1HQROMHXreMlHU4ioCL0yaZvLEmPHCEXqDyySJS714m1grlAK2MUyc+CLfIlhhpvao8ESpAl+9XUBLsiW+Pw3ZDicsqSmdwRx/b/xviUIxcQnDJp6/TBCuE8cOrd45iuoYmmLneT6DoEnbuUAlqbPW+VZ+j5j6BFvB1Ww9Hafvr2YZSPX8820UbyMhJciktJuDiwThukDpunC9n/LB4t9ktX+G5bjNbbXvQZZVytYMY5V7KJjTvLQpsO0pgki4lW020zTCDTYwUpOCKgkEbTxgqvpuMVnrnMqKM4iSgDh7T0c4xlLwGpKksOaIdXiHJXJm4iRgtvbB7DNz8WO40vqi8EIqY/zt8X/Gpnc5lxqKjd4IG/3zuV9BBhQ0CsYkg2CTniMKxflexHz3aYbKdxDHjmhKOReRJY0oFgj6pc6zvND55Vy+CsKXOGIfxE1byJLoWG8HHbf65zlQlSlqoyJEM03x05jOYJ5Hqz+OptbRtSFx7ahCsrw9zSzrCnvKwqtjahWi2CWKO1xtfUnIiZEZeAsM/CUMfZSucxHbnCElzUNC99YfZ7XzAmOVexixb6OoDOcFTi2tZBldIzj+GnWlQL10mDju4vjrxKnI3VntvIBtzdD1l0TArSL8ibJssNp+npX2c4QEpGnCUEn4wV7LkOVFfQTHFX5QCYldiphCy5JKEjtEcZeVzvPieU4PmxqDQBSSK71X0BWZuc6TtNxrub9xWw4WRW163jJlawd+sMqS30dTbUxjAtOY4PMr68InYkzQSm/kTdGzvIwTxRj6GIvtp/Nr5T+t/AxVXcifJUnGD1az+2uDojrGS9EFVIxcur7Sfo448ZEllVf8eWRJR5MtdG2IofIx2s4FdH2UlY6Q6G/LrQ9VYlZ6p5lrfQldK2dQAJtLPTeTHbawVFHEn9Rvw0l9Lm79jsBHa3UG3gKN4kFuRYTU2voIsyWDOA1pOxfwox5R3KNWug1LE5+nKILJgqgj3CxKoJopNoalm/u1ofIxOmygKhbtwbX8eSPWK0GdHC0fx41EwWYaE5kseIHR4u2CJBc0eUcf35al/aWOd3RxMxgM/gQmTlGUt6Gg/1eOoaEhqtUqX//611lfX+fDH/5w/m9LS0s88MADHDt2jE9/+tN/Kp7uz3u0nQtoShFVrQpKVWb83DbQrnVezE2tIkfDouctEYTrVAp7c8JQ27mAaUwwXbmficJRbrSeZG9FI0p9dtUey4M3++4c11pf4f+YGhZEEG0Xt1R14kTkGFzvfTN/vb6/ylD5WJZoLjYjH2v8FFHiMWwKz86GdIOnO7+EKhm80v512u51FKVMs/c6OzkkMkqiDgP3On1vhVb/vAhyDFtMl06yGVyiVNhLz1tkqfs8J4Y1Fp2XUGUpC9grMll9N/u0UcJwgz3sxDaEKbznr+C41yhpE+iq0Clrap1zrd8kTlw6g4sCmRlsMJB6VAt7KegNbGOY/eleemHKsLSL2eQgpjHOrtoHcjmWmbH9/2v7dxnEsKf2IX5q9v9JzZgBIEkjBt6CCA2ULbaDGJM0xNZFuGIguQzZt1LL5A+qWmWXfAcFU2QGBOFmnjJetvcLqlj/AnuUe/FjiXuGRS6R5y9zIfg692gfwDbHqUk7kCSNKXmIpntFBKN1T1FRDNYH51GUsjC680J+naVpxEfL34smyflmT5YN2s4FPlb7Qby0Q8u5yELvuezrQwy1nNOXiuY4aRJwb8Nlono/bthiv/4Amlqnqk8LeVvxAAVVdFT/w8plXvL+m9ggWPvZU/8IIu28KoIZE5/VQYIsW1QLu0nThK5zkUr2cIpT6EktFNlkxrwHVTIEKloXUpA99Y/mE8yC3KCaiM+pld5gxT+LoQh0uROJcL2ue4NGUqegN/CCVTqDK8iywUr7OXbbD+QbhUfMx3JJ4yBuEoSbOeijQhErtaiaO8VErvvHgkQWN2mUjuAGrdwHseVewQuWczmhIPWMZFIkgbq1jCneO1ZAVmxmao9CmtJ352hnIIL9pfdTtGbpsMFo5e78XJbt/cRvyfpJ0pCCOUXNmsU0JvKsiZ5ziQPFD+QNAkXWaZSP0pB3CsRu6TBJ7GDpo5Ro5Bvcrd5rGc0qYr/6LhHOqRZx3HnWBucpy+Oc73+ZiqbloYeVwk4mqvdnGTZuRk+ENAmYKogNRiErQrbBHwD10mF64bJoFGTFwIQt/m1YLgkClDFFwZxmd+HdFLYT3MObFLg4FpPqRukIUTKgoujZVEPOTd4T1fu5rZoyXpD54KTwGz1YH2EzmSMIW3hhh9XOC7jeDd49KhCxt5SEVK5szeTY/Io1w7XkFRoGHK79LeqFvaRpzLQt8re8oMXxmo+tCR+YhMRG0su72YqsUyrsZdQMaJSOMFE8SidaJIz71IoHuX+4z87qQ+L8RSFNPySIutRLh7CtGdywxc7STay0oY/hREmeWeb6i6gZ2nxHUSCBd8l3CFCNWmN3+b3oip17LgAerv4jZFnHNCZyn2fTvUyU+JDFKbf655mqPiA8alpKN1whjrsUNZkhzRRkOQS4BkQT51fXzrHRP89Y5R563jK/0/1Cvolo9c9nAAef6ep7mKo+wMvtX8vgDj5x4lG29+cI4kZhHyvt55jvPs1w+Tibzhssd09hSCUG2cazqhpZ4dahYe/nTa7S91fFFD5q5Q0+SZI5ZLwvQ1b7mccuEvlJ2RRwM5kjiHq0BlcE1tmYwHHncwx5pbAHy9zBKpfR5aIIky7egqZWqRdvo2BOsyWvMplM5dOsKGrTDgP2lx8T+T1INEpH8IIWcdxlV+0xKtY0hlKmVjzIu4aqdJ2LlM0dmGqFRxqjoiCOPSa5FU0S0sD7ddEUlCSZUmF3vn69t/JjOJGUBdHeJM4F4SbLvZeoJSN4aYcbrSezEOIR/LCNpdWZTic4WPwAbrhFEG4youzLso0CDlQ/jixpHKh9nCSN2FHwSJIBt9W+h7IxSZpGjJfu5Lt2imlS1d5DQa4xUjnB6/4yVcWiVjxIs3eGrYxCFqc++ysGo8XDtAdzvHc0YEiZFR6wsE2SuAKO4VzIn72Lgo3ARPEOdlYeQpUNwsTlUvgMVmrla3pZmSDEzXDvkWhIZVPWNE0YLR/DlCqsuSGaYhNGHWxznInq/Sy2n6LVP4+bFbfv2OPbxc1f6nhHFzcf+tCH+Ff/6l/x5S9/mfn5eX7v936Pn//5n+fxxx/Pv+bP4nEDfPrTn+bFF1/k6tWrfO5zn+M7v/M7+dEf/dEcK7e8vMwDDzzAjh07+Lmf+zk2NjZyxvZf5GiUjuIFq8iSnntuGsXbqBcP4AYbICn0vEUMfSxL9xZZBJpaJ0r8fPEv2/uJ4gHr7gU6kbgRTSVlSJ5lqf8ydVtsMLdlM01fIiVhPJmhH4IsGRwtfy+qUkCWrTxRfrN7moI5zUztUSRJZRBH1K097Ej20SgeYirZzfHq32WlI8LJBAFJYCULqZWHoxULe4gyE2uYuHj+Mqvu2SxQc5ER+zaBz1VTNNVmrCALmo45w8bgTXRFQlVrDJKQVv88w+XjDLwb3FH9O2wMLrDVO8tI5QQNez93VD9JpTCLqgj2f90+wEgyRrN3hlb/PK3+eS5Lcyy4DlZqcUU6g+vdYK71pVwSNGnfgR82eZ/1EUoaVJIhXmh2GUln8uweEJu2MHFpaHtQlDKaWqfZO0PZmuZ695vCp6PYHK/+XRTZFKF4wUaOvEyyCd2kLjaahtagnNokwIIDVkZ7OaC/hzl5Xjzskgpx3KWma/jhBjEh26GjO+17s8weix3SbQzc6zmFR5dlzqTfYqb2KO+q/H2iqJ1vMlfazxHHDruL78mLazfcIop7yLJFq38BSda5PjBQJI0kCfAljzDaosEUm93TbPTP0w2goA/x8aF9uYSoHSygpyL/4pB0701EchgL/GrnFKXC3vy9bE+LRpMJgnCdRtJgYyC650HYxPHXmOt8DS9oIssWR+TbmItfFJInQg6pD1NRJnOa2kzt0RwnGmXht2VrNpd4LAavsuXNMVkwGLaUHN/t+NtyPgHF+Gr756hRzP9u25s1K99JezDHcEEE0gLZhEWQruqlQ9QLe6kXdnNH9ZNZxzOkoA/x2lbMWPGIuF+NyQz/Lrwp17zncLwFPlw+ytbgcv65bCORtw8z23gNS7tyjHUYbaGoFcpJme1wUFkWvhU7rQi9/+AyqlohTgKuet8kyghaO2rvzSScLRYRaN1tT9RM4V56yTo7SyfZXVZxvBVMtSKAGe1vkiQ+w+XjwqfgiQlXO4Ct/vkc1yrLek6h6roLFLUxJgpHcwz7tl/KVhVMY4IgajHwFliNL+QoWFm28o52o3SYqn2AZu+M+MzTRITPavXc09Fy51hyZR4d61JQE/bXP8beUowuFyla04Rxn7K9n1J2/zesPZxr/SaGPpZJ12wxCXQXOKG8B1OBs53PY8pl1p1zlJIaqmwSJx5XHIMheVbQzWSTe2sNJqr30x9cQZENeoPL/MacKfDw8QbT6lGiqE2rf55l12TdvUC1MMtUwcRUFHS1nE95PH+ZPcluxksCiXq39XFMRUJFhIhuY25HKidYdGKGy8cxUh03aBHFbTrxEivt56ga06iKRdHaxZnkaRHCmwRsuVfYX/8YXrDBtHxYEK5chb31x9l0LxGEmxSUlHHjEGV7PzuLEq0oIAjX2aU1aPXPY+oNvEC8z7q9j61suvdh+2Msu6DIZp61VC8dYr71VTbdS6J48xcpFfZiaDWG9L0ir8SYouOLiXqlMMMg3CSKOhwt/03kVEZCplTYm5M2TX2UOI14tHgAVTGx1JuErG2i6Kp0jSSJqBdv59baJyjb+1nrfAuAuyqfpCbvyCbDOlHcxcsY1ttFZqt/Hs9f4SDHaToXGamcoKA0mCzehSZbVM0ZKskQDV1I7LYx8YdrFlvJdcr2/jyXa7J4HF0bohlcZVjZw2rnBVr98+wpxoxV7mFWOooiG0Rpmku0G1RYHbwu0PiqjKnIeP4y48ahXJZ+a8XmWO3t+Xvj1ZMiyNucpEEJTSqgZNCFIBT+OT/usa9ictl7OkfhX2h/nhF5D7Kssxi8iqKUuND6PDVrF06kIkkKs0yx0n6O0fJx1vqvs+yKCbmhlOnGq+J5QsTVdJEhXdxnb8WUa7JoRIXRFguuxoXW57GkGlYGatlWJWxPE8cyeKEqmVxrfQVNsYkTnxPaB5FSmS1vDlUuMN95gij16HlLyFlzYb1zKn8urnZO0Q6vE6ZxPuXWZIvl9jN5CPU7Xr71vzHn5q/D8Y4ubj71qU/xsY99jB/5kR/hwIED/PiP/zg/9EM/xL/8l/8y/5o/D4/74sWLfPSjH+XAgQP89E//NP/0n/5Tfu7nfi7/96997WtcuXKFr3/960xNTeV87fHx8b/Q+/bCFvXibZh6Ldc7e1EbL2yjKUUkSRFafVnH85eQ5UJOI4qTgDjuMl17mDByMLU6UTxAkwvUigcZNVO6rItO/eAaC70X0BQbQy0zYSUM2QeoSBZDpgg6PDf4MrY+gmWM4gTrWMZUbprvRssMl+9gRdpkVNrNDfkSftzjBeezLPEGlcJe/LjLbvsBytY0ZXs/BVnLvAYiOPRw5RO4/mIutwnjQZ4J4iUCB1zXY7rORSQE63+5/YwY0bsukqTyrPdbyLLBRvdlqsVb8KQBRWOMqeoDNPvnWO28wLo0jxd2iOMeg7hJz19mry1kgNuG60PSXu5qFNmUV2i6V0hJ2VP/CO2+2Mx5SYeiNc1KMMBSJKppiRmriJWaaKqNF6xRKuwlSUO6zkW2wmtUC7NEmRHcUmoMF2/Lu6NveF8ligeEUoClj1LN8oZq9n7ixMNOK6Sk2MYILalDTYvZUxJZP1PVB9BSjTX/PGV7PzdksbEdtiTKmYGVNKKgKBQTgbZMEpdl3hTa6NhhqvoA3TDilvQYC+2v40sBY5V7iGKXhqHkD82hZJTR0h05Grdq78PUh9HUKsPF2zlc6+FE64TRFmdbnxVd+LTOTO1RQWRKU/yoR5iIDeJE8Q526/eiYRDFA1akVcKM2hSmSW6o7g0us9k9jRu2cNx5znckXk+EbGNBvoIi6zmmU1UKTJbvxdBqTJRPUNIUtnpnqVm7mE2PUpEsOvESjrdCQYEgdfHCDt/o/CLlTKPddi5QtQ8IspRiM1E4iq5IDJtgaAK2EURdqvYBdtQeomzv5+7qD2MpKk3nYm5yVxSb+fQM1cIsMnIe3pimCXKWKu9HPVruNeI0xJe8TAbi4kddbq0qaFKBHck+qtZOhkpHKBX2CjiFbIiQuURsCHeadwtgiDmdrx+KUmasIHwrV7yn0bURFNnMNwK+FDBRFrIUx53Hi9pMK40sE8sX0rbEw9SqpIjNVIMpkcNT2MO7NJEg3Sgd4crWH3Ch9XmW28/QiZcJkpQ0cfGiDm3nAikpw+XjhLGDJOssOgkT5mGcSHgF3HBLIJblm6GnqlLgRutJVl3RVW87F0RTB5gqKnj+MiPZ5FqTrfz7tpHrnr+MImnU9F2MVE7Q91b4YvuXSEnZ7J7OQowNJElmzEy40i8wYblUkgYvbEg0mKKii2mBCDoNmbJ82v4CE9X78wwkTS2SpgmVwgxhmnC9D/srHyJIXaqF3Zxzv0yUeOws309Vi1mNL6BKJrY5xdogEeG/WbJ8qbCXv7+/h60O4/jrLMbidx+vnuQPFyVcf5H2YI6SJlEzFMJYtKg9X0wCwzRhfyLko093fonxgsxi/1uoGQVupHKC9c4pjtYVmv3zyEg8Yn8Pu2sf4t36gyiKLTrSzkUmzMP84PBjIgtLLaMpNovuy9SLBxiiRhht8cBwn8tbv5eDAvqxhJYa9AdzXOwkDGkGteJBFgMBOZjSj6KpdRq6gSobBOEmdxY+Ts2QuXcoYKiwHy9okiQupiKaN++xvodHC59AVau5edtLu1hajTjxKGxnVSl7CKMBQ+VjBFJAM7mO6y/SH1xBk0HXh5mx7mVWEsbwg8ajuYzK85fZrd5LrXiQoXSaQ/aHiBOfBe9bVHVBDB0qH2NVusZUugNdGyKKO+yrfZSroZCWbfXOYuujIpRVknlDepUw2qLr3WCU3Sw7p7mFE7TcOe4uTdANA1JSFtvfAIQP5bB0MvdyCT9tTMWa4S71AxTTisjOqn+EP1yMWe+doSVvoskWTS+lUT6KqTcoKRrDhQN4/goNUxKTG8R50ZQCEhLnOn1mi32Gy8fZUXuIsco9IpAzXGdaO85kwWRncgvjpWM5bEjXhvDDDkVVombuIklcxir3MFy+k3nvBeLEQ5V1xkpHkZCoyTvoRQpJ4rOzmEkYQxEu/mZbTBRNqcLtnKQ3uMxeeZKThV104mVmao/S6p1jqvoAjr/Bc802h2rfh66NUNOEJD8hzGEd2/lfBb2BopQ51xJfIyGzt/44G92XiWKPnQWLa7xK3ZxlEGxgm9PsS+/A0mvcYj+KIqkZYXKWmcK9pGlEQ9/De8YtgkgEIjd7Z5CQWB6IJoxtzvyJvds76vj25OYvdbyji5tSqcQv/uIvcv36dVzX5erVq/zMz/wMun6TcvHn4XH/m3/zb1hdXSUIAi5dusSP/diPIUnSn/kaafoXu0gMrYobbuFkLPda8SCmWqXvzqGpdo7IHXgLaNowpl6HNM0wszUK5nRGEJMZNm9h+zS1nQtcd2ScSGwUbrc/QsUSBuVW/zxzfQUn3ORN6QK2KjTNmlJgs/uKABV4C3jBMr3BVaGRjxyCqMvtxgTn+18W6GdtnCPF72RPeowo8el5y7zR+i0AHG+FN3gDJeu8GVqVDuK9bGfnRPEgn8Jsdk9ja0MMYhldG+HlrT5GFrRYtQ8IzGfU4qj50fwz2eqdpZLUaPbP0nSvEMcO9dIh3Fh0epM0RJUMPH+ZGwOBwNxeKKeKKov9hOXBq0zbdyNLGle2/oBjle+nYE6z1H6arnOR/cUiw0ZCQdbYV5E4F3+dvruAIts0jFlaPRF+2eydodk7Q6Wwl1JhL033Moe5i47zJk64yZh1O3Hc5bXWZ0jSiCB28oTzKGrjSx6aWkVCZlIaIgGeXU+YrX0QVTJYki8TxA6Ot8hq/1XGqyf5Qlv4EdZ7Z4QxNkmZj19h1LoNXRthMtMwW8YUS+2nWY7bVFWD45W/zbo0z9bgMp3BZTa9OE+KX1UW8+64KJIi0TWMe6x2XuCPV8sokpGfF9sYpZ+6FBnCkIvEKUSxixulNKSdSChc9p5mOT6PIpssBqfzfJ3jQ2aeGbEtvQzCdWrFg5wciniP/kFhmE+nGWSyAEOrULV2sth5ht7gMk33CnvKsuiMB2u80P1Vvtr7VXS5mG2koeMvkKQRe+ofZbV7SuBB7QMEscNa7wxB7LDuv0lZk1jop/QGlxn4SzSKB9AUm0HUpOtc5NXB79OMBpSsSeIkYKb6CHHsMCsdxYvaLPdfYbn/ShYCV2CkdCxDvCY0CvtQZYPJdJwbrScZLh9HljV+b30ZizJvpi8gobDeOSXM+s4Fus5FvGCVtUFE1drJpd5/p+/OCRBCNjlMU5/51lfZ6p3lkPG+rOnhsdB6AlnS2acP0fLnSdOEo7UfEL9H8nrWxT6Arg1RMqfY6p9nOyPr1dan89DBPxr8njDlZ1lEBXOaA7WPEyc+piLlSenb/sCN7ss4/hpJ4nPXECx7rzFti7UxSnwkSWZH4S7SJMhlY1X7AKpsYOk1yvZ+NKUokNHZuutlE7KV9nPsqbwfENIiSZIpmNN0vBtca32F9c4pwmiLY+XvZaxyD5YxhaUPU7ZmxeTHk2mHCn+8VubV/hdQZAkfFydaz3xkAaZW5Zpjoqs2G/1z+GGWBxOJTeIg2OR4o0A3SOjTxJYbRMmAe83vwtJqbAVXOdZo03UX0RA+pCFLZrx6MifgOd4iF7pF+uEatxQeZp90N7Y1Q9O5zP2jMhIKDXs/FR3KmvA2bDdlkjTiVPhF/rjz89xa+wS31b6Hlzc9xoqHhV9CtvKudE1Pqdp7OJt8g686nyVOQzYCN18nZclASVXeaAVs9c5S1Edzz+FW7yy2oooGSCpnMJV1bG0ITYKRZARNa7C/InP3iEJV28m99Rrlwh66qZDcPjAGliRog77ks+nFPLGqZ1NYgZc+yJ3sqX+Er7R/lmFTzc9tFLtUpYkcFb2ZUUTb6RJR1CKM++yRJhmR92BbMxjGOEkqaFgA43KVuiExl7wEyCiZp2tTWkCWNGqUuZ68ihu26Ltz3Gh/gzjxGQSbjCe7adElDJvoWoMgHfBgbUyQ96wZRuQ9rLSfQ5IMJlMxhY7iAQuJIJO+FPy+uK51iZMjFjtqD6EqVaZrD2OpMCdfZbnzHEHsEISbbAXzdL1F1uSNbA3s4iSbfGxaIk19BmmLXrDCkCnT85ZpGLMsxFvoUoFq8RbiFJ4PX0NRKziI3yclZVS3eHajSpJGbA4u0nKvoakVMSVKr9MLE8a1IjvSW6lZuyiY01SsGTSlgCanLLaf5iP1nyRMXIryMH7YpmiM4/gbrPZexTJ30ElXUSSRa3Wp5+bnL0kD3jUq0fdXSYl5OfqjzPsIrzobmHKZFec10QRpP8Vu+wHuqVdZikTx1QplEpKManYzfHtbUh3HXWbLCluDq2z4b3I9k1NLksyqGzAt3c5q/ww1cxe9wWU0VILIYc5/nlb/PJpi0XYucaH1eXRtiCXnFc61BOFyG/8+Vr03swIY+X3x7eOv5/GOLm7+f/UIY1E0xLGgz7T659novgKQTTCkXK4TxR0cdz4P2+q6Nxh4C8iyxcBb4FrrK8SJx0rneRGe12zl6c6XwmdyHKjIcxHd8rnWl7jeF4F+I+atuRlx24SdphG2NYPjzWOqVYI4pWiOstB6gsX2U3jSgDeSb+J4C3lIY9ddQFOLTCd7aDsXhC4+CdjwL+ZZD447n8mnDKLEpV46xEr7Ob6xCkVzlMvy64RZWFtJn2CQthgpH6cqFZAkDUMfQ9eGeKH7q0L/rNcoFfbS6l9gUhEGU0MfY9O5gKpWGTfFDHu8elJkAAxinCgmij1mkhkmq/eLjYE0T0EfYrhyF7o2wnODa8w7Es8Ef8jZrRg3bKFrNZLUZ7kvFvjtjSZAQoLjLXK38Te4IJ1Fkk1UWWdlcAaAO6qfFMnzwQZm1oECONv6LEG4yUb3ZV5MnkKTUsq6wqr7OlHqU2SIIWs/cexwxP4brLaf57B0BEmSKVrTSJLC06Eocped08iyykASZuuqtZOKfQsjUoWNyKEjN2mkU5lkMOKNTMaYJBEpSd4dF/SpixhZoKwkqdw35GDIRRGK6a/RGVwklmIu9Z+gEyxxY+ChKhbjBVhLLmFSZJd5Ek0uUMwynUxjgqp9gGs9UaSOVe5BltQsiNCi1T/PKy2V19I30dQic+mrVO19YuPkXGSl/VyeNxHGfX5p9Y9yA+nJ8g/z/vIPE6YDdtUeY91N8MM2qmKiplouRWs7F7D1EZK4R29wmb67wK83v0oKYuJizbLeOUVRGWGrLwrYgt5gVVlmq3dWTCBT4Ud6I/wGA29RSHb0YUFuMnfTcq+hSgZ+2Ga1e4qV9nNckMQGaKP7MkHU497SBG+0fgsnWCdI+oxUTuQGdsuYolLYi65IGayijSxbxLGDLBcyRPVsNkWSuRQ/h6ZW0ZQiljFF0RzlVPQGJX2cUmEvG+k1TGMCm1oumwvCTVrOBYrWjCgUBnPIsoGp12j1z3NIfS9xGuKFW8SJj+evcLH9e8SJjyanuHErn76tdl5gvHoyN5A/u5bSd6/RDyX21h/PGjZ1Lm79Tk5EkyVNbPJihyBy8IImri/og04k1qK3BvJe3PodLGOKevF2NFXIVeIkEK+VmbyHqdByr6HIOr2sgAdBn7rUhZlCjG2MEsQpVmrnfpKC3qDlXGHVk4iSAMsYxjaEx6eRSRyj2GOuG7G/KrPWP8vS4BV0ucgbvEjbESGYTdekWtjFhi8mrL+x+TsEsUOpsJeiNYumVhgxQtywxWXvaa7yCo47T0FvMGKEVIu30HQucrETM2KSZYQJL2Acd9EUE8uY4mL3K5xr/SZ/Z4/E+uA8HXceJTsXcezwy4s32OqdxY96jBQO4iRNzvE8hj5Gz10iSSPeaP0Wf+z9NwrmNOvdlykYk2iyRcXex0LcxAk3Odex6EktDH2M1c4pbgxk5uXL6GqJFPjHVz5NTMiVTkjHeZMoFc2rK32Zxb7Ij3ml8+tM2Aq2CmVzB5paoO1c4DnvC1xtfRHLmOLr7nmKxjhB5OD6i3TTVQrmNJIkI2foaSfcFLlV3gpLSYvF4DQD9zph1GHLTzMCWkI/CbnSiXHDLUx9jDh2qNj7GE920+yd4Yn2/4sgdvCD1fz5WtCGiZOAjrydXp+SJBGb/mUW+7HIasn8a43SERrFA0TEOaRElQ38YJW6uZuRygkutkMWBxClQr7bj1b53c7rNMMrKEoJL2iiayM09N0UjTGa6XWWuUgUtYgSn+c2VXZWH8ZP+oRRn4qW4gerLPdfoZzaVJMRqupONtyUY/IhoqhNPxZSWtOYwFBkXm9Be3AZ119EkoR0LYo6yJJGmCR8YfPf8ELnl+n6SzSsvUSJS9+d40o3gTTmbHqeQbDJZLILyxim47yJpdXYW3qEJI1Ybj/D1b5GyZpkWDeyDCIDQ6uy7kv5+207F9jyrmKpMsVUnMsJ+xhG5qGbGzzDE+3FLMh1hNe2BBYewDbHcTOp8HTtYUHpU+yskdajpu/KiaCev4wpK4xIFSx9mE4gfu+ENC/ed9Qewg1buQQ9CDdzQud2GKuuNVhpP5fBMSo55OUde3x7cvOXOr5d3PwVHH13USA8iwfxg1Wmqg9QKezNA+WSNMz16fZb5ChAhl62aWS61ap9gDjuIkkaRWMcA42Zwr3US4foZ4QqL+yIcbicoihlbq19gkGUoilF5lpfyoPlFltfz3+O66+I/Bp5JxuBR7v/Zq4h9qUBBbVB1d6PolZQFBvLGM4Sh2UkSRXEMH+Z3uAyK53n0bUhIZ9RbFGYqA22emcp2/u5fxT8qMf/feIeTLVKFLW50XqSO+U7heSMlpD0ZIZ8y5ykM5ij3X8TTTEx9TFeb3+WojWLH6xi6cNEUZtX/OvUigdpu9fxwzZxkhKnKfcVvoen3f/ClneVkdIRlrrP44VtirKAFhTTEmVNbIYtVUaW1DwED6BuzuZSQSAnTslI3MZhDE1gT8WCOcKZnphsScjEic9oNrHQtREK5jRjlXuYlm7HTySqOjQsgfmWkFnqnhJGbxJSUs6m56kXb8/P7ccr76fvr9Io7MP3V1AQuGwhiYpYSjeJSLi49Tu0pLUcI70TgdLc3gTa5hRyVkCOlk/g+OuYxgRpGvFaR0ha6uZuNLUIacrp/m8ThOtIkszuooUftlj3YGtwlaXgNc62PguI6datyoPi80sj9paFJnu18wIb3ZdJUp9dlfcCMGZBlPrMFu6npuwQeS6ZcXjbSyPLOnHc54eGH6PFMikJBhrXWWG1c4o19xyH64Ii6AVbbMYCU7z9OlvOBSTZRFPrVAqzfEfpEb7qvpBj2C1jik3/cl7ga0qRsXgiRyhXJQGCGDFuyWV9bedCBh8YE8VQ54WMnieKqgYiPFBT6/kEC8iC6FbZci7SKB4Um4+4T89bomEoDLwFLGOKkdKRbLMr/Ewd503cQIT5bhcrfrhB1drJVu8shbSMLGni3uu9RBj1aadLWFrtZtGglJCRGbVuY7Ii0tllZMYq91CUDJbbz2Dpw4LolYbo+jCKbDBmJsSpj5blvciSRtMRsqup6gMcH5KRJI3/vtpjoS/gFiVziqnqA5Tt/bT7b5CkoaASWbdR0IfRVVHslwp72XBF8WtbM9jWDOOlOzJK3hot5wJjxcMosp7lpaikScBk9d2A8KqpspF9LgK+MGHBZAE6kUzXneePvVMs8yZjlXsYxE1a/fPEcZemDw19d9bJbwofnXORje7LqIpJWRf3ehCuM2Ttx5TLVJRJFKWMJKl8cdmmrIzlJLmD6kM0e2fwgmZeaJe1kHphN5ZWp6JM5teOpYiic6p0N9f8NqebMYqs0x9cybO+GtoeZFkV3evaB3l5y6Bu7aFojCPLOro2JDKpEgGzSNOEhdYTbHRfIYi6NAr7MLQqJXNS5JDo9+MFG4K4qJZJSDCUMnYqCiVbTXAQm8td1fdRUFNWBmeoGtNsePBDYz/AjfY3CNOEmdr7Weu+RJJEfG7rm4wVj1K2pthd+xAX2l52310kCMUUazvSwAuW6cWrAmTjzglfhHMOL9igUtiPpYvgzK5zkeX2M4TRFq8N/oCet0C9dBhLH2XeGdCQd9JL1+nhcLghU9CGSLLz33Yu8ELnlwHRvCtrQkoeJz4z1UdY651BllRcuqxJYk2N4g5j5m2cja5jKTUK+hADOlTUKdY7pzjd/c8ikNcYzguvQdSkPbiKLEHHj3MIwVbvLNPxLKpcyBDzmwThOl7aYat/jkG4QUPaKZqXUYcNN8KJmyiSSrWwm0EsGp2SpPLHnZ/n5favsdB7liBJkCWyQlBswpMk4lv+FUYt4SGRJU1IPCsnBPSGGm4c8VDlR2mUjogGZCr8rAVzmnPBMjO197MyOIPrL3KZl4W6JAMXXPdepKA3mK19kCT73V6KLhInPlKGkl8ZiHs3jLYw9DFkSeOG3+N577dJSVjqv5wBMKrssE9gpAa6YlPQG+wsCthCqbCX3uCqgEDUvo9NVwTAxrFDw0gZKR3JMs80EUhdOcEz0df5VvI0jreAF7QoFfYyaRZY751msnIfSxnNzvE3cvqcE6yzMkioFw9QtvcTZv7D7QZgyk2Ayzvy+Lbn5i91fLu4+Ss4tg38ftSjah+gG65ko3hhlt4mGNnWDF62KdO1EaaqD2Abo9jmFINwE9uaoZdNcaYq92Fpde5sFJGQReGQJZi7/iIt5yJVPcU2x9mRTjFpy1SyCURRH8HQx1DVmgivUqskicAor0bnWZIXKRZm2RxcFOa7NBQysKCJoQkSlqGUqBUP8szgPwOCMCRJAgltm9PESZB1WhRhos1kUGHk0PTFwrjkSqx2xIbIMqZoGCLTYJQ6hj6Wj6nTNGFv9QMkaZh31NM0YcS8VcgANLGBt7JukaGWqBR2MogjznKWBWWOPYUHGbjXCZI+cewIolz7K4BgBX1z3WGofAwnSvKsBUUpUy/sphMskaYhRWs3Q+Vj2OYMRWuWOfkS62kH11+kaIxxW+17mCweFyF4mTnZVKv57140R0UmhHeD8+4fsTDQaXopG4MLdPwFFsPTPFr6IQytykL6Oppa5332UZq9M+ysPgxpwqYXM1I4SJgMGKvey/nO55FlA1lSUWWd+fgVnu/+CmV7P+veG4TRFuOlO5hjES/YQlOrXNn6A4KoR8XeR83axWrnhczvJTbiU1ZIo3SE5d5LyJKKbe2iZE6KhHNJZbwgHgi9EMrWVG58X24/Q9U+wJYsOmy9wWW2fFHIwnZh7nBl6w9EvlICTtLkUu+/s+afZ6RyIu/ObWfYeP4ykqRQUFNW+6/huPO8GPw+Di0K5pRAjOoxkFAtzKLJBUxdFK3TtYfZUb6PsfKdORHtfK/NMel4Pk3bzusA8nTsC5xiqvogYbTFG63fop9lj6hqLUfSdt0bdFglSoSZdxs8IEsar7Y+zVD5GDvL72Kiej/jBXFvd52LlIwJ0jRko/syBXMHSeIyWjrCb7Z/X2zwjRGa2dcVjFHCaAtdH6Vmi3t7WjuOhJRjXTW1zpvOVwFhhL6j9L2UrR0M4ibdLJRSUcqZp89gqf8tbrSeFE0A5wKrnRd4xv8dZNlAlfWcPBbHHj1vkaYvHgllc0p4LEqHCcJ1HHeexfZTXO6JEM87aiWieJADUxbbT9F1LqJpwyKNXq0jIdPsi43tRPV+/LDDncMKjdIR0Y1PEzYGFyhYIqwwSXz60Sp9dw7LmCJKAgxjnMX2U8xLC7hhi563IIhemaRrrg97ihFpKvwyf3f4bnZwGzVpB+0Mn6woZQoqdKNlwmggOsF6gzg7l7pic8PxafpCQrzQegJDKrHovoyp1Slau9hVTDnEgWwdrVLLpg6VwgyGVqVu7gZgrfuy6Panvfx5sO5rtPrnWRmcYZ9VY8hUUGSDlJRWfIM0jXCSJoeM9wl0sfs6nSAlJaaojVI2p0jSiNX28zw6XsybVSJ7KKI7uCLoevowBW2YvjvHfn2UJHEZr55kq3+OvrtAXd7JDXmOvnuNMTOkHSzgB6tUGCZMYLxwhLX+WSYsmOsGFMwpFEniWkusmw1rD3+z9i7cuCV8Rc5L7LANbBWG7APZNMZAli3uqH5SQGeUkfw50RtcpmxNZ960HrpqE0b9vOkHMGofQldrdN0F+u4cpqwKT1j3Bb7V/QyfW11go/sykiRj6GP51AVgY3ABSRLAirZzkXXvDeIs/FRCZt3JMoHMaea7TwPQD1cFBCLZYLH/rfw6nKk9SpII76Ufd2n2zjBi34YiSXTCMAc9lO39JKTEmSx7+zClClPVd+OGLZrpdcYq9zBhHuZdowob3ZdZ655GkVSGjYRm73VkSWV//WMCyiDpaLKELsu5l3Xb53qrvIvfaD6DZUyhaQ2x7ndOYRoT6FgokszrPJcHh7uRiE8o6EM8WJ5i3XuDXQURDjwkz6IqBTS1TiuTsG71zjLX+hITZoIkyexPd2fKk5dRlDI1Q8Jx57P1skOaxpxPnuJe87sYYprR4iHGqyeJojZX2/+dTXkFTSnSdi7gRBKWUuV27VFIYzx/GVfq5oRSAEUS02JdGxEFmzFKlAzworYIA5bEBDqMHM4EC6hKhZZ3jSRxieIBfrCaeahGGHgL2JrEZve0UMxIGrq2naOVAO/wCUea/sX/fPv4dnHzV3GMFm8niR1c7wayrOabwaHSkUy7L+hM2ze1qlYpmqOs9V/H8ddQJBU/bBNGA5J4gKqUSBHaeT9O2YivMF17OO8o17McmjTNqEvpgJVBQi9YEd3kqJ2HFzruPJpSFKNgTUxXptIdKJLKvoKQrS0PTjMr35kblmXZEsa+JGCseBRJ0tBksSgK6UmfJBlQtGazKZPQt5rGBK6/yJiZoGtDTBVSasWD2NYMfrjBm06Hrd5ZvDRCV0t0nDepFQ8y8BbYm87mC9H2f+daX8q7lduTFFOtUtWncYMWg6x7VU1GWIvFRmurd5ZdtcfE4p+9zpa8ynvGbDa7p7keblEwp7OU8SKmXKZqTFO192CqFXreMnES4HgL3Knenp/jCeUgF7pfZHXwOserfxeAMGwKLbM1y1D5GIZSxtLqGU46wlRSpmwJXS2JzU2aMC/dQFMsnGBNmFiDhKI1y/XON1DVGgtBm9X+a9hKI5duJYmP692g1T/PXcp7maq+m65zkUP6+7JpTMx3NHYzUb4TRTa5tfYJfF8gu7v+EopSxgu3crrbqaZGs3eGXeUHGfgr9N05xrVDuGGL25T3sO6KqURNlzDlcm5srxUPIssqlbQujK9qnQ1PSMa2M1+2j+2MlEn5VkytzpR+DCdYY6J6v5i8eAsMlY9RtGZRlQqaDMfs76BU2Ctw0RTyzeiGL8yuzd4ZhqVdDJv7hcwy2qDpz7HafYmyvR9dG+Fgqcq0raMqhexaGsqv0ap9gGPVv003S0TfRonqWoNmcIUgXEeVC5jGBFHUZsu7mnfua8WDNEpHGCofExPaqMd892mW28/Q9MHWR1HVKpu908iZn6nvzmHqo7S9ef7Zjo9S0sepqjsIoy3agzmSRBDQRu1DdN0F0jSkRxMlm6JsH4cKH2KaWykoDVxpQBi7KJKBJKlseVdRZIHx9aI2lWzD1eqfv4lqNneTJD6t/vks92eEsdJRJot3cbzu4gYtmv2zyLJOsy+M8UkaIkkq7xqOaEc3eHyqz/7yY3TcecarJxkuH8c0JpgsHkdVytxR/Dhe2sU2x5FlS/igwnXCRLyX9uCyCP6UTerm7nxjuI32BTLJnCjAK2mdemE3k2UxtXa8BcYq93CklnC6pdLQY/o0OdeKGZertNIbWFmYrq6WubcR0OydQVMLTNcezsISw/w6lSWJlUFMK8McB+mAA8bD4pypFQ6WXfZXNSytRhS1aRgaO2oPsdk9jalVudF6kiv9Ql6EgqAuDpWPUVCSvMseJilVXcq9h04gvEwNaSdKqlIvHmSv9SAHKilt9zotf54ocYmiNsOVu/jC6iq9jLK3r/wBdG2EavEWVjsv0OyfY7n9DKXCXq77Yoqy2nkBVSlzsPIx2ukyd6q3M1N9hM9f1yhkU95XW5/mzXaMImkE4TqnmxHXWcX1llhI12mUjpCmIhhytphm5nKZqrkTRZI4Wg3wojZBuMlk5T4axYPMRS+yq/YY1zrfwNBHGARNDtQ+LmAnpSNZwaGQpj62PpKFe6q0/HmGCwcIoy3K9n72Vwx0bYgk8Zkon0BNVQx9jCRrpokiWsrlWWv9s6iyiZFl10xU78fQxyhQyTxdKr3BZdHIaH+eritkflEyoGIJFYUkqcy3vsrAu8F49SRpmjBcPs5i+ymKmsxM0WSPci9x7OD6G3TkDkPanrcFsl5rfYUbrSdFCG64xmrnBS63v8x/Wl7C0McYKR1hX3oHn1layzJdFokJ6bsL2ZRDQVck6vY+dMnKiycnDvnHU/fh+ovZJDMDNfjLvNb6DAVFoectifBffYyatouiNio8tzHEScBWch1Z0nikPIttDGNk9M6CLpqux6t/F01O0bURBtmaNFI5QRx32VeK2FF7CEMqoqkV+u6ckEkS8mrr02wOLtJ0LlMwp5mtPkIrvC4AANYMdSNFl4q5SqFgTmeNLwEVmao+wKUu+WR2T/0jubT1fv0jTNceFvlG3iKmJrxIRXMUx70mCIJalYI5LcKje2eYqN5PwxBNtuHycdEQVEzUrLFiGTt4Rx/flqX9pY5vFzd/Bcdi+xtU7H0Mle/ACzs5Jne9c4ooaiMhZ4GdiTDhR21avXNZ90IWZu+ozZB9S+b/kElT8eB1opSiMsJi55m8u1lUBRVl3pGQZYtLyfN0g5iKMc3t9kfwwg6aWme8epKiNUvRGGOh9QSWVhemTCTcsEVCwt3VH+ag9X4KqYUqC09Lo3gQVa3mwYVJ4pKkIWG0mXlvHNI0ou/OoapVJCQmK/cJ6pFic7GnoMgmTV+ipu1ij/luLGOcl73fY6b2KDusAiV9HElSM1P+CGfSb6GrRYGNzbr7wpMzkuV1+PiS2Ejc6D6L6y+yJi9TS+ospufYKQvphK6N0I0EgckPVtG1IYbjSVqB2LBrqUbZmGSj8y0BKeg+y43Wk/S9FbyoQxgKv4Cpj/FS9Dpb8qoIXGM57wqCkH2ZxiRd5yIpCZvd06x2TtH1lyiY04zbh9HllJIGfXeBrnORYeMWKkmdtnORafMuAHRFoqiPMlN5CFlWeaAxxK7S/cy3vioeGLUPoqpVTEPIXhq6wa3pUcarJ3kzFvjXmJDXtnxutJ6kaIyxHLyWf/2QtZ9dlQeJojaVwiyVwk72lkT3sx3dYHf1fTllZ7hwgG92PsUDoyGjxduJUpGFMYibuQRpq3eWvtRjvPouZFln2JSF1ywzARet2Tx9fMmV6LBBSsJkOi4mJ/1z2KaQdW1lplBDq4gsB2kRTTE5UPs41wbPkmTFjSGLxbtqH+Bc93coUKNsTNLsncEPWwyVbqfrXMTQKpzvtXmhtyqCEbPGwkT1firZpnZDWqBu7UHXhljvnKJgTuP5y+xVRfr8eucUEjLTtYeZNu/KN+GdwRVsdZgkDdmr3ieybjKf1rITs945RRx3SdOEKG7n1+/AW8D1bvCFJTGxvbL1B5jGBHGmi9e1ERZaTxAnrpCrUSSK2ujaEBPV+4kThyXe4HL8IovtpzjX/k367hx1dQZFttFkC1UxSbPciGb/LFX7QO6FkSSZKPUoFfYyUb2fhdYTBOE6ftLHpMiXlq1Myy+8BtvnUNDJNA7WOuxQDvNis0iPDTEhQjQ74tijHV6naI5zOX6RbnZvJImLqhQomNM0fVEoWfooAG6wKYhzmckfhBQnjPtIyMiyyM84bA+x0n5OFJjuksDSyw0u9xSKKrywqdL2F/ijwX9jKdliRNpDEHZRFJuSOckbXZ2Rygkcd56F1hOAkO71BpcZqZwgTBNKmtj8dv0lLMrMJ68Ikpi/ynXH5LlmmziNsIwp1j2ftf5ZZNkSIa2Sml+XsmzRjzfY6otcsafWNZI0ZKh8jGV/gC6ndL3tz0a83iXnCZ7r/Hu8sM1acoluKAhrmmwRp5FIfZerTCsNFMUW9058BV0t0hlcR1PrIjA5m1BuKuLcbaPLl6IzLLefIU5SnKTJbTWZurwTVSlwqPZ9PDAmU0tE82dfRaOaVEjSkGvBi/kUoFY8yJonUdCHhS9U0ihq8MdrOrIspvCrvVfZci7R6p/neucbvL/8w+hqiSjucaH1edrOBTpZEeBFbdGsSUN26nchywWK+gg32t/Ip/jXeiElc4pG6QiL7afYqQzn8uWxyj0kqY+iVhgu3ykCoMN13GATU60wU3s0k7t1ONf6TXba9+ZyRsuY4nD1e6kWZlHVKn1PTHNVtYquDYlspzSk5V4T/tBwk+nawzzrXmLVDXGlgbhOoy3G0gZh6qFrI/kUaqRyIgP6mHQcQescKt3O909MUTTGCJI+55Jn+MS4WGuP1n4ACZmpyn14UYcgSVlyPTa6L9MJlqibszjuPC+EX2bBkfKJstikT+VqkJqh8FDhb3LDf4VJ+zhzrS+x2H6KZu8MBQWGrH3ocpFG6TC/2/2WkAb7y0JFErY5UPs4L7d/DTeW0JQCUYZL9iJxjZ/aVIhSj7n219DVEhPV+/n40E9xPnqSsco9AtBgiOtjKBnn3fr7CKI+YTTgQjulGy9zjVeFt9CYFE1ArYEkaSKcW4WavYcw2mLReYmBJyZ4SZqy0HoCTa2jyBZdd57bOEirf4Hhyl34cQ9DLeEFG8SxQ614EDdq4mTKs467QJyFU1v6MHHczYu5d+zx7eLmL3V8u7j5KzhkuYwbtkgRkqftbu9Y5R6xeKo206V7sg6UuPtsaxf10iGCcJ1m91WGysfo+otCfpDRR3RthGcGl/DSjuje+4v0nEss916iah/gjbbL3uoHaDkXqRkKK51n6cgibCyMtnDCTWEiToVXoO+LB6CfRlhajTnvm1yOX+SV9q/zJqcoG1OMV0/S7J/NtfkbgzdFKvbgqkDjShqyZDBePZkXakka4sUdsbirFUbNlCBqYaugSBqX3W/guPOcND/OfOurxAnIyFjmJIpsECcOg7hJ350jCDbyqUsQrFHQG4wWD1G0ZtmBeJjsLD/IePUki/6r3F2v0gtWeLn9a6iSIFy1B6LoKpjTVAu7mdarXO2GHLc/wT31KkVlhMnquzGNiZteA1knjB2SNBRp4yR042Wud7+JH6wjI1O29zNTe5RXOr+OqVbzQsdx5xmpnBAdOW8JL9ggSF3iFJq+hKkLw2UvXuWFzi9j6mOYCMN/WZfYdC4w1/oSsqTyudZzrAdiAqIrNjuSWZGcva05D0Nejv+Yrr/EkL4PXRthtXMqR3huI5pTBFlrofUEXtJBUcr4UQ8v7KBImYQs9dkZ7yKKBwSSiymJjdKTqxqb7iWGDJjUD+OFbaLYFZhra4bV+AJdf5E48UgQxtzN7mmB8XXnCBOXofIxDlViJpNdOO48X20LFPt46Q5cf0N0h5OAIHZoGLNIpLhpi3b/TarJEO8tfG8eWne1LzFSOYEXdWgUb+ON1m8RZNLAIfvWHBfsuPN05S5HC6NEcY+x8omcuCfLKqpaZSyd5W7lXirWDLo2wkThKFX7AC91fk14GUpHiBOPMB3QTK6LIhyB6w6SPpvd07mZ1tQbVO0D1AwFTa0LKWXlBKXC3szEaoriXBvmcKmRp7KbaoUkcTM52Tq2JQqV1fbzDDJfRNEcZ633ipBuBeu44RYT1fvze7CWDOU+FS/YyIAAMgVj8qYpvn+BNE3Yn96J4wmCnsioEZOldrrEVAHuqv4Qw8WDmMYEu6uP0XfnKFoz2OYU870ii/FZhvSEtf5rSEisO+douXPCcxA7DIImLecifXcOx1sRUljFxA+bvLAlCjU32GTEPkgcd6lLO6hY03lAX9WcwdTqYlOTuDj+Bq86G2iq+Ls4EX6DCJ/r/YhWABe6Dqqs85DxOFfCZ7nsfoOGvZ80TVjvnGLZFc0lEXxZFfk8si4Klc4pvt7/T9QNCUkSXqhuuorjrwtpoTlJmMKb6Qv0BpfxwyaDNGCseJhG8SCWVqdWPMCQEfJA5R+SJC6dgQABWFqN94yGjFRO0HIuUpYNRs2EMBJNL9dfRFUs/GCVA7WPi0744DKTlvAm+VGPIOpRNWcIUpcDVZ3hopggtwdzQoal1zH1BgutJ1CVArpic1ASGV3bCOKuewOAIBGfx55iiJXagm6Z3mDJlbkSP4+ujXC1G+WYfVOtCm9U9aTwQMjQ85bywuHz7W/xWqeTS5qiqEWS9HMoylXm0WSLmYrwc0pIFIxRqvYBdMVmvHoSRTbosIoi63T9JfbVPkpCgq7YNAwVS6nmBVYvFgGw4rUUzMx/ud45lQdg1u19tJ0LRNlzbqIsJrKdeAlZtlDVaj4FbvbOUCvsoWHvpTW4QhS12W0/gCQZjFROMFI4yFr/NQy1xELrCZaC12hHPpecJ3D9RWrFg+wpWRgUiOIeYdQRQcqDqxSNMQZBk2rxVobKx9jsvc7pZkLLERluzd4Z/uvKMro2xGXvabbCayx1nycINvij1gJVTRfTE3+Nld5LgIDbjFnQc5coaqMMMlhHEG7mHlEvifKJzvbfbRddw9IuFjvPstF9mfnWV6kVD1K2ZgijAX13LvMwlvnvSwmON89TnV9EUcrZ9Ec8c1baz9EoHiSKXZqDSxRU4QmqKJOZf0j8TEdyuJTcIAhFdIWuSDj+upCdqUXWugIu4Adr6GpZ+FOtfBslMn6qJ5GQmJduWePgbAABAABJREFUcLT2A0yW7iSM2sSxw2WukaYR651T6IrNVu8sSeKyq/YYbthCljSSFOI0Ik48ZMkQ6PygKeinb5kSf/v463d8u7j5KzjSNERXS2xl5l4RbmYIE3jUIYw9rmz9AYZWwfUXxUbMW8CPRLjicOUumt1X6bvCLL2jcBf76x/D0moc1fYQZqjdXbXHGK3cLQz2ic/dwxY3Bt9Cz8bMaZrQT9aZqN6fpUSHFAyRiCzQnAORoaAJmlWSRAxpe3i4+o84LJ1kpf3NXApVLcwyVX2AWft+CtZOsVhpQ2KSk0astJ/DcedzY7gkKRhaRZBVXFBki5c2Y673vklBH8K2ZvhG/1cF3lWVcKINLK1OfzCHbU5xUH5AYIvTEAmZamEXlrmDtnOB6eQAQdRlPe1QNnewFVxltf08hlrifMtj1LxNdKKyKVkcdxnO5G7N/jm2Qp8pW+NU99e43o9xkk2Wu8IL5PsC3101d+L5y5nvREOWVHS5yAfLP0iteIB19wKjxq3Mt76Kbc6w3jmV/+4Ag2CD91Z+DNMYR1Vs7lbu5XxH3G6qYrG//jEOSffy3sqPUbNmOd//Mppa5/V2nyhqs6v2mCBGMYGa0ZLazgUqsghR3e6qn+ccimxQ0seZTXYThOsMl++goAqDbdu5QEmfwPOXWUnepGofYN15Q0AUgo3MdCres+NvsCZvYOp1puJduEmLWvEguiKupU0fVsPzYkOlVdhbf5w0TTDlMn13jihqYykSKWJj1vdXhAQg+/85RyFChBBO1x4WwanZEtTsncEwxlFkg368wZvtmNXOKYbKx3jV+32+4X2eqn1AGNc1iUGwwXjhCEkaMlN7FFlSiWOHjf45YZDXaiRpSEyEIkuATHNwSRidozZh7KEpRa7Ez/Ni/DxbzgWCcJ3lwatEic+e2kcIwk3ag8vYxiiGVESRVEy5TEqa+1cAXk+fxjQm6LsLRInPLy/+S0rWZL5xDqIesqzjuPPZFDKhpInzE6UCdCDLBoqso6l1/LCNphYoWDtZ7r8icM1Kg1IGH5kyjmJpdUqyKO6TNGRJuky9dIhW/wJDpduRJI2Z6iOUjSlUtSpQz3EXTa0zL1/Icd0FY5Qk8ZmUb8WPu8QpuNKAfrCG5y/Tiq5TtGbpD+boDS7z0paJIRcZxBJlaxpVrWHqjbcV9n6wiiJbSJKKbY5zi/EQjjvPrsp7+cFdJUEUlHVutJ5Eli2a6TyWUss3cF1/kYG/hCxpWQEXsSHdwDZGma19UIS1piET6W4OVBVGTNAlhSB2GC9o7NPuR5ZEdlG9eADbmuFQNckkaFc4WPpI3mWeKdyLLBt8qPKDrAwSTH0UCYlB3KSWEes2uq9wviMzquynVjyIplY4nz7LQusJOu48zf55tnpnWXJ1VGR0bYjj9ieI4x5+1GPCcpmWbkdXa8yUdEw5Zax8J6ospkm9wWV21B6ilIp1u2iOsxUqTNceZrgg0OWbzhtsOm8Spylr3VPifShFDLXETvNuNMUUct9sXShrKtWC6PZf2foDJkpislHRxYTlP16JODf4MhVrhij1ceMUU6kRJw51U6GsCZiGJhcoaGJqNgg2GUQSDWsPg6QtACVSiXsaFYxsYoQkMVN9H2ma0HMuEUkhLeciCWEO6Og6F4kyWWTXX6Lvr9ILlxmyb6Vu7qaXrKPJFlv9C7w6WKPpXqFs72eofIwt2oSxIBp2/AVcf42Ryglk2eJG+0kxVR9coWjNsth+SlyT0YZoMiiC7BhFbeLE47X25zD0MTa6L9N0LpPEDuPVk7zR+i3SxBU5cq0naNj7cQPRZDipfYgX/f8GkJNQF5yA8WQSyxhFVUqoSolqYTddd0FIEWOX9mCOnZUH0WSJgjFJwZymXjrEI/VJgnCTvjsnYEKyTcHcQYDLVugTRlskyQDbnGKscg/7tPtp+hLjpTvYGLyJqpjZZNUiTRN+delncPDE85yQNE1yyd58X0jH3orqb/XP4/gbqIop4CH988iSysVE4Ny/d+Sf0igeYLn9DIY+xp6y2M/4cS/3uLzq32DI2EeQDohiN6eQ9WlSSIu5EqCgwFBhP+PVk9TMXdSKB9nsnkZRShSNcWx9hF4IRWVYwApki5X2cyLXTYo43/8iC51n0NR6ngtm6GMMl49TVIYzP/MI11pfoW7twQnW+UL7FfruVSx9CEkS8QK2MUp/cIWCOfk/3MO9I470LwgTeIsP7f+fj28XN38FR5q62JlOuGBO03UuMl15QDz01QpB1Ms3wuPVkxlZ7QBesIGhNZAzItm2KXPNP88xZR9R4qPLMm4ozHed6AYt9xph7CDLGnEqkaQRd5sfx95+OEkFNp03CaKW2JSqVUxjgoI5zb7y+2iUjhAmgrJmahW2onlUJFalDVJSJEllpvYoKTGL7adQMbD1UUqFvewuvgdNredZD8Pl4yiSSq14UHgr1Cq14kH6oQAQvGtUJk5cZEmjoA3x4crfx5JrXHUcWv3zbHZPU7H3MWLcgoGWG/0r5g5kZBrWXiQkunKHMGpzpCgmIG1HjKaj2OW2mokiadyuP0bHeRNJUkR3XKogSSqmPsywbrDlJTRKhzlaV1AlIb/z/GV21T7A3vrj+ca11T/P1fZXkCWV5fYzbMUDWr1zxElAIS3TKB3BD9vUigdRZT3vPt+lf4QleREv2CAMm7yZzDNjw6ITc0L7IBvhRV4Kv8KSLDroU8W70LUy9w6VaJSOsO69QRCuc8LayZAipBON0hHKmoqujeQd6E3/MkPyLlTJ4LX0uawr6fNGK6DtLwgpIg10bYiavCPbSKtoahFdrTFcPo4mgRu2KBpjpCREsceSch1TrhDGLqYCI/ZBukGKF3Yo6iOocoHLW78nTMSSBsBE9X5uKUe0+4JWVTdniaI2+5STAOwtRmwp6yiSxkg6I9LZky5DRRGqGQQbuP4Gm93T1E2Fu8s/SLN/gY+Uv5/3F74bS6uz2H6K6/0YU6sS4VNTdzLf+ip1dSaXiQyVj2VghBlmmcJUYLR8DD9YRZJUkd80uCwCWGOPkjyCoTUw9DF2FO4iiPrMJrszf45DnArC0VHuRUKhbO9nuHycRukItjXDUflBwqhP2ZrBUMv8vR3/D0ylhiLrDJWPkSQRQdjMH/JD9q0cqcaUGKakCATqdOUBgnCTMNoSuRSyheuvsb/4for6CIvtp+gMLjJVfQCfAe3BZQ7Le9lfeJi99cc5ynGRa2LtyiVxEjIleYQoanOh9XkMfYxbSx9iJJ3J16qBv8Zw+TiXvG8QRA4FJUVPderm7qzA9vNgXk2tEyaw1n+dgpIyK98pfGLOxWw6NcJw+Th76h9BlnXGKifoOhc50/uCwIGH1xkyQqb14wK6Imkkicskt9ILlymZ00Ifb96CqpQwjXGW289gG6PsS2+l768w1/oS3cEVxqsnmUtfpeXD0arLP9gPO8272fREdzklYbR4O83e6xS0IV7dkrG0OkOl2wlwRaYJEmvRBSxjnANVnYv+JncaH0XXR6moOwiSPrY5Q614gLsbkWiUpBF+sMoHC48BYBujSJIIHCwoCW9KpzG0GqEUMlm9n4G3wIZnssQbIpgyTHmjK9aSjnMpL+6Xuy/hSx5lez/K/4e9Pw+S7Dzvc8HnO2uek3tm7VtXdVd3oZdCr0B3o4kdIAgQBEQKgnhJURxeWbasxdY47HDccPjGjZiZ63ulkMZh2bJlSaZpSjJFUaIggiAhEDsaQKP3fanu6uqq6tor98yzn2/+OMXSVcxMjC1dWnIMvoj+p1HIzszKPOd73+/3Po8wudmAHD2bEbofSp9frSZwlVoreby1xhmWwqS4ajszm9S9W049kYZuRKJDmUR4Z90mw9oBjvVYySnDRsEexSCJKNjbGbbBjZJNbBcj1DrTbC99llH7AVqhJJTeJtK3LxogiMGLGhQzu+nO3ce6f4uUOUApu5dAdshZo2giharl6S88iK6VcPzlzbhqHIfsUR+jLLZQcW/RLcaotC4komGpE0YdTDVL21uhI5qbNvuiOYqu5elsCGKHC48nEbiwhh+2GCo8sgFf0ak7dxiNt6IqabaXPpuQugpf2CwGhVDoyh2g6txOnpMMSJvdlLP7WKwdxw8bjBafYtBO8WO5n+JB6wtkzQGKmd2ckadoiQ4ddx7PXyJllDeG3xNnUym1jTCs0QgXeKz3Lxx3fdpuFMGmkPZh/Ul0zablTNMT97Eja6OpOfL29qQglB7r4i5uJLnbeB/PX0IR+sYsXzcpc4D/aev/TN9GodmJa/QXjjFceDyBeKhJ4f1DGEe/lhBZdc2mlNrKlsKTxLHD1txjfLFnlLa3zFBG2SS79qf3ktViVKERxwF7ss+Ttbdzsf5NtsXb6ZbJ/cVQ01jmEGPxBPdlezYLp08PdGgFSyzWjhNKl0rzIv2FY2iqzVrjDJZaZM2FVfc6eWsLEDNafCqJk8ZrbMs8tgmPcbwFCnEXu9JP4wQVTJFla+GTqIrBeOl5lhonyJoD/GTxIOXsvk0XniZM2t4yEknHvfv/cy/3N7o+jqX9tdbHxc2PYA3kH8SP2iiKRdnajmUOMVNNCEdR1KBojW1IPWeou3OoahovbG64LjSW6h+QT+/gdO136cvdR619lT9t/Cd01eJQV9IdVdUcfpgw/bvtnXS8Zcpm4sqpK3XSmmC4+DgZyvjBClHURgiFunMH11sgb46wFk2zXT1CPfIoZ3biBFWyah+6ULlHS2hZpcwemuEyKbWIolhcrH6dlfoJyuZWVqObBGGFYmY3u4qfxw3rZPQ+3KDOQWuQWuc2leZFJvKQUXvoMSN25n6MpnuX1cYp9pV1RuJx8qqZxBT0HiytzKJznrSqb3ZnbKVMpTPFXPX1xJged5FOjTDbctGEScbaSq1zm6IxRiuASAZYmBSze5IIktBZ7JxLZmwUC1UIBtIKqtAZsUN2yf2bWF9XNpiqfDvBAecPU0jvRMoAx1+jlJ1k1MqyrfQc/em93HLfxQ1rHEp/PhHHucvc3TBnzyhTbGMUIXSEYpCReXrMkMmiwpJYIaUWcYIqYuMrqAiVIOywJx+gKiY9qV1Y5hBFU3C1+k2GsofRFYtrfnLE33KXiaIGZXMrgfDQRHKDTE7mzjOaNeh4C1Sd28x7ZwnCGjca3wdgzE4GUv2wSqV9lbQW4flLSS5bZpAyJCMLCQ0pdYiHu11G4100/Jj7U59jPw+gCZP9xa9wr/EMn7QOM1n8EqrQWfVUipnd1N055mtvMVR4hHVleWP2QEOVyed7RC0TxW38uEXDu0vdn0/cOIqBEBr3lWJ84dGd2U0zCMgZf+EkmCwq1DrTBHGHaniHXcXPc73yLYRQ6MkfxlKLbLUepGiOsrto4oQSSyQyyXRqBMdf3vi85cgbgxzUduD6y3j+Ero0MfU8F/mIMKzTnTtEELZxwzor1FjsnEtEo83z1J3EE3VTXGVH7lO4YZ26M8M7rRkWau8ghErDmd3Ayvbj+UscKfwcy83T5PSQ2533ksJTK+LGjU0CVCwDho1DDOYfYIwBFmvHE7pgdh+LzZM8aO5FU7NUQ58K8+TjLj6K36EvfxRvwx1h6F2s+VNcr3yLYmY3R/M/j+cvcdv/kCJZVDXHnuIX6clOEsYOu82ncIMK3WaEL3xmq6+x4l5hu/YJwqizcUrr8emBZhJ9UmJMaSAQbC0+i6GmyVlDuGGd2/UfMJr5BEv1EwgE5cxOtuQfJYo9Kr7Obfc4A/Z+NC1PT/4wp2q/TdkYR1OthKoUr+MHa+RTw4wWn6LhTNOXMina45snVWmlC1Vo9KTgRivFzbaJjkneUIkIiWKfVrCcIOvDOofKyYndsNjDenyHkeKT2NYWau2bON4ys62IlqhzKX4neZ+qr7BHPETG6E0KYC3iYvXrON5qQkxTNnDWWjdR1MaVDTJalES31BSRCJmvvsFw8XGEkLT8ZDA/lhDKJM45VHiEpfoHDBcfT07VpIGmGISxwzMDLq5obWBzk5OdKHbpkqUNeMMg2Q25sKbYm00V11ug6S6wzcqzI/epzUh0SQyTtkaJkUw5b3Kk7KAoJm5Yp0+Ocaw7oO7OUetMcWI14GvrX6fjLTNIN5pqUwluc7X6TUbSbDZ+VDXLoJlBSrC0MvX2DdYaZwjCNn32JG5YQxMpau2r3Ky8RBjWCOJOIjO1t2IrZTrOHXZnPs1NcYbl+AZB2EkQ8DKm19pDt5JN0PedmyiKxvPFCfxgBVXNsdA4gecv0XZniGOHLfE9qELjqcI/3pwji2OPIHbIpYao02I88xjNaIltuSe43xreLP4A1hpnNgSPVoIOjhwMNZ0U+VEDXzr0WQpDaZVBK4HsuEGdn8g9gCkNdhd+EkgIodtLn8XUi4l8eSMul9MGqARqAkgx+rhS/Qb3ZMMkKqcWMFSBrXcxUnySZ/rzZHWIpUfbS65XTlDhcesADV8mkUdzCE0xmCi9kJDBjB7W3MQHNFF6gZX6CWrOHdrhKk13gU/0KAxm7ieMXVLmANk4nzh5UtvJiT7WvCl2Fl/keuVb9KQSBP3ZirP5/ijo3GmrdBk7aDnTXG59l2Znii90/SMiGbMz1UUpO8lK8xxesI4uVG42HYKwg2n0Ugv0TYjJUv0DJkovUOncSiKCQmG2+hrtUCJlTMOdQ1EsZqqvJifxIkNdLiWY9o2InYnBsrxFzhzieuVbpGWBLnuCWEboWpG2v0K/lSgacukJsqmhjbmdzMYr+tuOguavWNz8TT/xvx3r4+LmR7DawQrrzXMoisl87c3NbC4ksw019w4r9RNYZv/mEHIYuWwtPkvRHE0IL2oO0+gjiDvJcJw3jxNUWXQUhouPsyX3EPcbz284bdYJwxr9qWTwtM4qY+mIhcZJLJmmkN6JqqZpdaY3bc8LtUQAetl/nW7DYr94ECljpqsv80H0OjeDZaqty1Ral1hvnmOldQFVsTbJYDPVVzfkXF2JHRiTZmeK5VYiNOxKCWKZ5JrvLzUIZIdGoLAuZ4hlmMjTEFyR77O7aGygsldYqL2TYKPjSmKBz+5jrvk+96Y/y3jpeQAuyneJYp+MlnRATS23KRvthJJqcJuMYqCI5PQnL/oYSt/HYOYQhpbDjyVP9DpUndtUApUYyVjxGRShs9q6tEFTukXTvUvWGEikghunU5fcJZaci7SiVTJGLx3nDgVhU7TGyFlDWOYAY8VnKMpernAFQ8txT/6z3Gt3k9cj3Ai20E+v2EYuNcRD6e2MFJ9kvn2SlFHkd255hHGHiAAhFEZsyWP5/yvNcJmae4ciOXryh1EVg7w9kYAGZI6Z6qscUR4kjBwy9jirTsRY/gksvcge/ckN6V2C0A2Eh6JkEgmevZVmmIjOFMWiR+QxtBzblD4MLYtLi3qg4Qmf7XmNVWUFd0P0FhPzQf03WXdDrrdeZVBu52I1ZlJ5BNvoSgaoGyeYqnybCftJfn5HhVn3I1Q1zWLYoD97X+Jt0bs2XReGlt0cjvWES6Vzi7p02JETlMUo5ew+PtlfIQxr6IpNy1vCJIkjpI1eKu3rSBmxHF2nESzSDiV7ChDibYg9pxnLP7FJAqz7dzkZXiWdGiGXnuBm502kjNhH4o4YUw4m319zlJzMbEhLdaQMCcMa681zPG4dIBYxPfZuDmR+ksdzo6TMATreAn6wlgwXa1kUxeLD2r/b9Cn5YRVHNDYGx22kjPH8JWqtK1yq/T5OVCWUMaXsZBIhjT3y9lb6bYVcaogTwcvM197mLlfYziEa3l0GMgcppHfiB2tsMe7fiKpd5qPW7yXXJneR9/2X6M3uY9Y/RRh7CKGwKG6iqxnGsy1ckcR+TC3L6eZ/3riqJW6NoUKDfannONK3ypqyTMYeRxEqTlCh46/hh0225B6lI6uoaoZCZhcr9ROoQqe1EfkMwha3629SsLfR8hZ5ofw/Mdc6sYkQX22c3HAlnUBBR9eKNIOIteY5XG8ByxyiFa2whyOkVNhi+4ynPa61X0VXBDPRafrsSYRQ2JV+mqI5yrqvcFT/DFPBe0xwPxomYeQmp+bpCQqGwj3KKPerT3Co8LMMFR7hneZv0fQXE7dGnBSeQVihNz2ZnHYr5qaDpBUssad3bdN5pEgFiaTpL7Dq6WSNftab58gZgqNln7YzQzNIBrmTeJ6JKU2qravU2ze42TJZdq9sYssr7i38YI3D5TRuWN+gZZVodqb4hPYo87W3UNU0mlbAD9aYddp4dNhZfDHBsAuPrJF40jJmP0XTYzL7WbrMZHOvC8m9qWfYlfscnxtR+JnuL5FNDfJa+z8lQ+JackqeVpOu8FDhEYKwgioEXSmwlSJWKpm5CKMOs/W3KKe2k5YFsvZ2nsj/I1Q1h6UWExS9MJmuvkwpuxcPh/uVTxDLxBO01DpLT/4wa94Ux3oN+vJHCcMaHXcWQ0kSCVHU2IxX9eWPUszsJhAJ2asjPcZLz/Np+1ObAJCs2sf+dPIadMVm0buIIkgK5Pxh9tiJeqCY2c2x7N/BUNMUU2MMcA+SiF3Fz1MQA7xUuY0fw2V3hYy1lZH0ETK6wBM+N1oJ9KXPvhdJjKYYRAQY0koKYmHy+kLIWPEZetK7GSg8xJyjMpp7mPHsE9T8AC9qcrfxPrdb0GUm4tYgrGBoOdrODK903uG5IZ+e9B78sEq9fYOp6kvk0hN8Jv0sTihp0uZm/XtMlF6gaG0liJ3kfqHHjMUTbEk/kPhx1Cx+sMJi8zSPZrbj+uvcaHyXrL2dIBbJiRetzfelNx6hOyXJyAKWOcRI9ii59AT9aYWJXJo/WPu32GqZKGonUBfZYY0qQ5n7CaMOnTABsyy3L5K3JwikS9nekTTTNn5PE3lBITWK6y2QTQ2iayXWGme4Xfs+2+U+NEwMLUvGGiMiYqH2Dgu1d5IZsOgyq52rqEKnZG9jwnqcFVcQRO0NFPQPG4naBpzn0/9lG7q/qfXxyc1fa31c3PwIVr1znZHik4RhgsT9oQW5O3cocd+ktmwOPJdS24g2rMrT1ZdZbl1IxJaNU4RRJ7GeR21Gi0/heYsUDMkhcR8r7hUcPDIyz3rzXGIRFpK00YMiVG63E8ymioaupunP3oem5Tc7eeXsvo1IVR0FuMwpBtOHGCs+w1Opp7ClnQyRKjbjpecZyN5HX3Y/kNxMjuZ/nqI5Sl8m+burre8BEMuQbfbDuFHiAunOHWKuY+PFLYpGRE7pxzbKACx2Yo6qj/MnlRtoWmEjTqRTzu5jVl5AUTSa7gJhVKNPFNFlckqTUvOMpI8ghGC0+BRtfwWJJEMZTYEh/QB/Vv3fWWucQde6WI/vcLPyEpIIWylwMZzmZivFjvST3GkLeo0Ua94Uul4mk+qnGSwghJ5Q0kSO7aXPomkFSvpWdhp9+GGDg8pjaMJkW+k5CrqRRBeiNjlzkFpwB0e0OaBMUrS2UonvYKqCecfgSNnhmrhOlQXuUx5FFzBbfS2Z8fHXeawvja2WaQYLqIrJ+SqcDF5ONkapYRbFEpowcbx5au2rqGqO7riMQDCW1bGNLjTFYFtOIy0LpLQC572XNx0UWbOfm5WXiKJGIgXUx6kFCseyf4eU0c2rzd/BC2pUQpcnUp/ldvUVdEVyKzrBxYrPleo38Eg8D7pMYnjfbf4OumZzovZb3NclWFYW8MIG1fZNChu+FoBsymPS+BQAM+I8vnQYLj6+4a3QNgfbd6SfZLqtYsoUQihsTeXpRIJp513Wm+d4f7VIyhyg6S+wP/Vj5OKkYI9ijzCsEUoPU8nQaF/n7eYsp9YT0k7eTqKg09VXqLYuowidYfMgw9EoKS1PqzON6y1gaGmyuk7W3s5V/w26cgfw4xYjVpoJ8QBD+YfIp+/ZJFO979xkrvMRkphb0QnKJqS0PKZeZrT4FOutqzh+ld7cgU0c+Z2OQTo1xAFlV3Ly6M3+xQVEiARfq5Y5Gb9JXhsm3CCvVZoXuVBxWWuc5qj+GR7N/RIN7y6OcOmykmK310zohhEBeW2YQnonpl5IvCCxk5z2xR2anVusty6zRTtEhjJ99r1crmcpxokXq9a+SW92HymjxM7M0+haiZvrRQw0Kh0Llxaq0JhtHkdTLTJmP1HsMtd8nyzJoHfZGMc0+ljonEVXM1yqJ/JCQ8uxUj9Bx53lreBVitbYJvyilLkXKWO2FB7HxKZs72A97PDDlqSiJPNvUkpaIfzPU6vUAo0odql6EfuVx2hFq6iKiR2nudt4n+eGV9hTsBgykuvVmj+FrtrsLX6Zkj7GN+rfI6drqEIhED7Dchcpo5t+ay8y9tmea7I9nQzFV9xb1PwQWysxV32dUnaSx83nCEOVfJxnh3qMa97rpK1Rau2rvLmUxGHK2X2UTMGQneDiq63LOBvFi6ZmKSuJt2ao8AhLroKpZUkZpQQBvEEYm2/HmFqWocIjqCKBYnSnNCxzaHMmqy9/mN25DI0owWj3ZA8wVX0pUQkQsFr/iJzpcSc8lVyzkaTUiBl5nhoLpNSY77UukdUH+ErPz/JM4Z+w2DxNf+EYl2qCY/lfTMhW1ihLnsujPQ12yXsw1DQr9RNJAZg7xN3G+zyeG6HZmWJGvYWUAWvOdXSthKlkUBSLLn0cFZ3j4WsIFDJqD2FYp9qeSpDXmqTuztGVO0AhvZN1T6Kq6U1aWF/+KFXnNtXWZZbEbfr03bxb/w1uVl5i0XWJYj/xKXnXWewEXK19iyDu0GPew2zbJWcMoQqNFZEoDwr6Fm6Li7S8JZyoyoXWtxGo2DJLT9zHVjFASoXp6EP6rb3o0qQdSj6q/RaGlsPUssxUv0dvNExB30LNn6UmE1Lnnea7dKU0PNliuXWerNLDeCbkdv0HpEhTlw736I8QRW3m2x5OlPhtlI2ZS1XNcUR9ACkTiMee3AukrVEUNY0fNum2BHNekxl5nv7sfcx1PqIVLNNoX8c2uqgHCqfCV5iQ2+jJH6YSdTD0HhTF4E7LI232MpZ/giFzP7MdhZ7cIbYaJTLWVrL6AAVhk9ViOiKZt5lvn0RTDO40Q0wluff70iFtjeIEFVzFoSjzzDXfR9kAHKjo7LE/zRbjfkI88qKPTKqfRvs65ew+TAXcqIplDtF07xJvQCEeyv08q8oKi51zNNrXaXamuKvcJpeeoJzdh0WeprdASsujS5OGd5dVeZtISnJG0nBYa5zBMofwwwaK0Jhvnfov2s/9TS0Zy7/yn4/Xx8XNj2zNVl8jbY2SN4bIqN0JdrZxil5rD7pib1I9qt4MI8UnE6meVsAyuxnIH0NR00RRA8scQsqYO7XXsK0teBEIAcXUGCYGnkgM0WuNM5ypGgihsk/somBILLMfW1pYahFd2JuErVJ2ElUxaW9EnIJYMsAEw/FWZmrf56a/TreWZr19nShqcLPyEncb72OKDLtTPewXx5AiZr7+Hu0wOTHJWyOUs/sIwxq2zJDRBEOFR6i0r7LsqqTVMlNNndn2h1hambXGGf6o8RI3ucOLXTuSzpy/hqblMdQ0YdwhjFxUxUi8LHHIzeYP6LMmcaIqNyp/zJLfYqb6KllzAEWxuNr8DhUvZMb7kInSCxuDphqDyi4AFlqn/2K+JhbcDc9hqYJISoRQkliSmqHaukzK6Ga89DyubCCJGc4+QChdMoaCH6yxIJbZJu9lzbvBVLBK1t6O61fpV+6h3r7BhBjlnLxCEHfIq4PUvZhAQitU8WSLDF1IJDeazgb5q4am2gxbETEx27QHaLSv02sp7DQeQyBYbZykHJdxo2TQX1XT2GYvd9TbbCs9h6YknpBq6zJOJMnFOSqdWzyT/iJh5DKY/wTLjVP05A+TsbayWDtOIDvcX2oxp9wgjFy+1P3zBGGFPfkM4cZFsqAH+FGbg106I8UnyYkUleZFhpUyurD5xYG/j6Gm+Wz5n9IIBL3xAH3WJFHUoN65Q8ocYD48z6nlLga1PKDyXPpR6s4dlppn2VP8Il3ZffTlDlM0RynFRZxIoqJh6UXaYUTNl2y3HuVI4edY8wS51DC23s2yMouKmsRQwkZCDlOGN4eJj6ZH2J5LYgk/9O4IxUIgKGZ202SVgJC1xulNKlSleZF5v0GzM0XHWyCjJqbyry3/r7xf/ze0w1UiGZJNDTJeep6brTfYbj1Kxb1FSR9j1I4IYy+Z8ZAjFNPjCbEwdtiSTXDstipptK8TxHKDKjbLROkFDL2LrL2dQmoL8/V3GFInWeycA2Jq7ascy/8iu4spDKMXFcGUcoF9xrMEwieUHorQuV75VhIBEh63q6/Q2QBH5K0t5NM72BJP0PQWyNvbGcgdZlT0Mut+hCvrBLHAkgkGujd3gKozTSm1jYv1b9CfPchwtsll+R4136QVreCGdUr2drygntDI0hMEYQWdpFC9WXkJz1+i485StLYybMcYwmIofR+6VgKSrvpS/QPG7E9QzOym2r5OEDusuteZ6bzPQu0d7s3lN4WNPaldhNJjxLbpS8X849F+jgyssDv7PANpFVvRaTiz2GqZDxq/RTo1xFuL3Sy0I2623mAinSdvDOGHLS7Ufh9JzD7lYQqmYI5l7DiNgcae1NPcrr+JbW0hm/LYb4wyWnyKljNNn6WTVfvI2tvp1XbixzGaFnHS/1PqIvGJ2RsnkJ/fEjBbfY315jkEkkv17Kao9IcUMT9Yw5MRht5FJ1rnlcocE+IB8ubI5j1F0wpEUtJw5rlbf4/l+kfkrVHcSCZNDdUiCuu0/BXutHzWGmeY986y0jxDLAP69Ul6tQwSycX1BF7gyRZ9osCdjsmTqcdYap5lpqNTjHtYc66z4gS84/0xYVil5txhLAu3OI1lDiWADBlwYj1HNe5skDN1DhZ+hvvEJ4hjjz+o/QCAO413iWMHx50jliGNYBFVsbjTfp+rze8wqE7SrY7THQ3SkztEwU7mQu60BapiIGWMqeaYbydpgDgOEQia/iJx7KMoJndqrxEIj2JmN/2FY6xRpZDaghdUcfxVDnSZlLP3IoTCzcpLBDJmtvoai7XjrHWuk7FGuF19hYgAVTHo+Gvk7VEiAm6F77OiLPFon4Glwn3qU1TDO1TkHOerbZ4p/BNy5hC19nUkEk94STNNK/GY8WByvVZSPNQT0/Dm2Zf+cTqyyryjoSoWNZZxhUNL1BPst6oSxIK2O8uW/KOs1E/QndnNnWiVeUcnZ41wvvo1hs2DicxYTVP1JAKFQ8qDLLcu8HDqRYyNQtCP2jRDQcuZ5a5cw1YKdETi9lEVg1ebv0O9fY1OXCUvk+9lJ6zgRjGGlsaPW9Rkh4Iesh5OY+oFitYYAEEs+aPG++zKPZ/MtDgz6GqKR3NDpBSN+9NfoD+9lyHbY82bYkXMcLH+Te5lP7ZMnG9DhUdYb54jo8XsU57A3JidKtjbyaUnGDQzDMshFEXbjGA+aO6l0b5OLANCEdBl7eAe/WF2KWNYeglDZAhiMEWGXHqCncUXKVhb0LUMfthgIL3/r77B+3j9rV8fFzc/opUyB3Dcu8xVX2e29samQO//aAxfca8QRG2WWmcZyj9EGNYw1SzztbeIN7qYmmqRMwfpyx+l7czwia42ldBlrvo6l+Q73Oi8Tjm7j13Fz7M9E5FRujkVn6HHjLD0EmvKKs1ggVa0gq5mMPQu6p1phsUeuu2dlLKTpFSFW9EJ2sJBypjtZpn1sENvZi/9hWOYRh85azQx3UeSdZo4wsHQi3+B6PQWUDbM5EWynFl38OIWUdSmEwliYh7pTSI4NXeGrL2dn+n6McpxNw1fUs7uo+POoqk27WCNsj6OqhikzR6isM4P6r/OUPYI07U/p9q+znjpxzjl/xnFzG4kMVsLn2Q09zD3lgx2GA+RifOs1JOhwnu0/gQpKTRuVl5i3j+LApT15FRh1m+gCi2hzqCQsbbiBTXa8RqtYImFzllmG2/TI0fJ6gkEQkPjYvwmANv0bkwti67ZXO0kGWFdETyTuZcgapOPy3SiCDcS1AM1eZw4T0t6dBsm1fYU2/QHSOl5snpEJ1ilIhaZLH4JXYGOaCFJ3qO8YmGqOXQ1iZXtNB4jkgGhdKl6Ek0rkrZGqXqSM/53CIJ1zskrjGSPEkqXkfwjBFGLlF5IYBCELDomWXowtAz+BjptqROyGjcZLz3Pum9seFzAjRtc5BTjpec5K89yu/oKNxoellZmPqoSSRi1MtysvJT4VeytHEx9jlH1IH++qPFh9AEpo8SSExDHPqqa4o73ES1vicX6+6w51zfnkALh0/IWaYQ+OV3QHZdpizYVD6rtKUbYxULnDMedJDrVcqbZVnwWgcJE6QVMo4+yKZhqxDTa1zejdwV7K6kNL85c9XUaSgPb2kJvahdFkYjdzvkvA5CzRqkHCQmsK3uAseKnE1Gr0YOtd7Pu3+SJ9JfRpEbbmeFW9WUCKXCDCoaaRkGh6S6QMgdoeyus+TcQQmVnrpVELqI2ljlE3h5nqvoSfrBG213c2LR5lOMiaSM5SdG0ArYwieJE9GkqKp8vPMAWM0dEiB8nEZIfrvn2SQYKD20itFveImHsM6dMkzH70NU0TlRjIK1TSm3Dj9p0mcng/M7ii2gihW10EcmA3twhAtlhtWPTp+7kWjPFevM8hdQWluofcL/1EwmJr36CidILTDlvbsZAevKHkxmJ2jvMdRIAxd3OaYRQEqFjXKUvf5RbrTc2yE2Jx8XSS+y2nqaUneRqo73Zra8FdzZkqQEjtseDQ0t0PJ2OaGCpgh5Lxw/WWGqdZSB/jJzez5DlczuoULK3kTcETlQlitv05zeaFkqCOd6m9LOkzPB2/V9hSZP+7AHazgyVjsVdt0M7WsfQu5htu3RF/TQ7U9gyyyvN36LRSeH6FWY67yenZMQMFx+n4mtsL32WXHqCRgCdSCQQifQR1vypzbmPQEabiOJ/ODLAtfg9lpunaTvJ9VLKgB5L2UDyxnTlDuCGNb629P+g7a/Q8pZIW2MYapqMrtKdO0SzM0VXdh92agRJzPtRAh0pGiFuUCeIO3yn+itktZh1z6c7s4dTaxFr4i6qYtKMks9T2hrD8eb5s7tNUkoO9YeoYRSWXFhUZ6k0zxPLgHUxTzXu0J07yDYO0p07RFdmJ/2FY4wWn8Y2e2m783RlEpfNcPYBOqLBleo3ONn+A+7hMKuNpKveZYIX1FCExlr7Ku8FryI2ACYSSdroJYp9yplJPlP4J/RHI/Trk5tzQUGc3NMso5t3VppsF0dYaV5ka/FZWqKDopiUspOJtsFLIAc9YhxLLyUgG6ETSo971IfZq23lo7WIug8jdgovbNLPdhaUBa6ICyw3z1HK7CFlDrAu7mKKLN3KOKeDKaSMyZh9zDnJzM24UWa1c5WyEeEHazhxFR2dLXIITbW4Fa6Q05MGZTNKoAe6YlOiwF0n+V4JoXGl+o0ER2/0cLfj0hEOWU3jWPqnuSouUu/MUGlepNmZohkIthY+yYjSTUxMRqZZbZxCERoPpH8K29rCWvsatrToS8XYWglbVfHDdvI+ihhdSQooL6ix3p6i0rzIUtRgUh5gKbrKcvMc/YVjtNxlYiCraUQipObPIpA0O1McVu4nnRpispjCFz7rjbM0gkWGi48z76hc4UN2ao8CkNeGMNQ0f7Dyv+LKJM7pxknqIK0lEIh+fZL14CZOVKMhanwYfYCuWGQp44SJv63lzHC1+k2WG2c2T/NW3L+QTP+tXFL+1f98vD4ubn4Uy05tocvawUjhMbL2dnS9jBvUGC89TxjW0bQC/fpkgnM1B7CNblrhEuXsPlYbpzD0LsTGUbQX1Fmqf4AftRkrPsPv3LSYVi6zt/hlBtVJjqZ+IjF500IIyUz9NR5L3cd7KwnlJCVt8voQtc40XfYEYVgnb2+lKpapebMJG54kP37Ve43u3CEWXYeUMBAoVJ3b+MEKYewzXHwcL45xRIcB2Y2yURBAMsgqhEoQVphWbqEIQctLaC7vLnusu1PMtGzGis8QRh1azm00IbgUvcF8O6TpLmCnRhi0D9JoX+dm9TtoqoVAoZjdQyG9k4X2GeINueFU5dvsSD1KtXWZprtALZxjyblIzZds03pYZCqZVQoqvBu8T1rpYkf6SfYXv8In9OfI6TGh9NiVC1hTl6i2LtOduodOWEFXLaT0eNZ+lD59N/nUMIZWpKIsUfMki7XjnK9/Y2NepJt2GNKn7iSlFXC9BUrZSTK6SiSh7S1zLXiLPkvn2wtV3l5WuOq+xgf132ReucW8l2Sqq2IZL2wy3TboNyaphXeosUA7lNx2E+O5E1RwZMhq6zJppUxP/jA7jC6G461sl3uY77iEUZOs0Y8iNjYFapruaDAZshQ2a+4UeX2I9cZZgrCSxGqMgDpLjKaO8s3qbwPwYXQKC5Ml5yKNIJk3WPcSo/pK+xIqOo1wgcnil5hjmaXGCR4u9rAtHXLcv4yyIVqrtq9zNX6b07XfZTCtMMBEAsQQAiE0XG+BB40fwzKKSBmSNnq4xgm+XvkBt/0PE8kfkrl2xLKyiitaPN6bzIksidv02LvZaz/PaPEpdK3EbOsDBuUg1yvfYiRzlPl2xFg2mYvIWCOkjG6C2CGIWgwUHqK/cIztygBR7NOIlrhS/QYZaytjqYTwpqsZ0lo3Lec23eo4a/4UHW8ZP2pTcW7iBFVKhoG94boZyB/DVmP6swdZa11lr51IB11vgX57HwfVpzhiPMd0K81w9gHWlGXyqWHC2EfXy6StUYrpcXLmYOKYUqroG74UVUnRkg7v1VeouLcomhorTsyK53Kl/i06flLE/BC5O5g+SErk2Fv8MkcKP0evtYdmZwoTm46/hhc1WW+eo+pFSBlR60xhqxHvd36Pq9VvUnFvoSomeZGcrLhhjVagJVJTK9gspArpndwUZ9A3LOOOrLPFOsLh/N/F0HsYVHaR3cCuPjvQoFuOkNLzxDIklgFDYg9B7BCGdQYy+0lveFDWGmeIREjLXeSt9n9IXpvQkkihYvG292fcbqf4v7yTRwHWg5vUfUnNS4hUY9lH6ETrrLQvEQO61DmkPMh0I6DlLZGzRollQFkOMSOXebO6RMlMXl/G2sqSusC6c3OTcneJ9+lVJ9BUmyE7xU35EV25A8zG59mR/RTfu9vFvbkfx/HmeSr95eTzg8V4ts2t2it0vGWCjWFfKUOmqi8xZOxnyPyLDnLKKGEoGVZ9hSj2KGxAA6SMNme1NNVO/EQoZI1+dhZfxPNXkjkFs5+cNkA7jIikxyP5X04AMNZ27vrnyYs+SukJBMlpz2rjVEKOihRmxBwFMUAQx5RkP2HkoKNQSm2jz5qklJ3k8yMZBCqKksQ2S1qKjAa6TAAuht7Fk9Z9rKiLKCh0lDaq0HHDRICqCRNdTaGpWfyojecngub59kl0rcT27Ce5Ic4wUnySidILXK1JhrJHKGjDZFODPKR/irHco5unsKuNk0RRg0r7Khld5Ur8LvP+WSxziCGli7ozQxBWuFd/ii49xZq6yHDuKNPVl1lXljdBMvelfpwwrLFU/4D58DxblP0s1o6joGCKDGfdPyVvqrSCiLudiNvtDt3mBDPRaR6wxikysPkZ77MnGYq3MRyNEOJxvf4SftSm7a+gK0ly4lyQoJ8XHXVTsNsj8skMeRyQkhbnK/GGW8hivPQ8TlSlJR125UJqnWkK/wf1wErzItPKDKeb/5lbwTqX5Xtk6MIyuzdP1M6sOyy7V1iL2miYXJHvJ4j42GdFWSKMXHZnPs20coVlV2G5cRJNEVh6CUnELFdYcpPCMqE6jjBReoFABGQ0jSE1mXNbbpzBD1a43fR503+TK0HS6PjNGyYjxSd5O3iNjrfA++s1NDSy6R0JshqFMIb19nU+qP8mBws/g4lNv7qb7aXPbgpF1xpnWGtd5c9a71LQhpl1PyKvDScnPzLPvdxHGHtcanwLTUncekP5hzbJtHEc0p89SJ+1579iV/c3sD6euflrrY+Lmx/BKpgjGCK5CTQ7UwxnDpM1+2lFK5vH05X4DmuNMzS9BXLGEC13eVOqqSopypmdCASGlkkGQmMHTZg83AcDchvnq19jMb5GVjVIaQVW3CtcqqsU0ztRBFzsrCXyPFRWnKvk7VE64TqxDDDVHNPVl+lN7UIguOM1SCtlxlLHWG2c4gf1X+eGuIITVVEVg4y1DS+oU3FvsR52GGMAT0YEYSsRkhafxNB7aPvLjJee5z5tJ6flcXbYj6PrZb6yTdno8Gksds7Rm9mLpub4YL1BVt8wOqd3oSomU5VvA8nNP4o90moZL2xSa1/diB9Y1N05+vJHUaXGcPFxbCOJue01nuH9+gp/7vwpmjCpti6jKSYxMTcrL1GVc5ytfpU5scSJNUE9nOPbc2KDtKXRCBeSuErUJo49dEVQjedo+St02zsxpEVKTbquyJCDhZ8hL/p4uforXKr+Ph1/jbHiM0k3y/FYcyO6MjtRUFjsBDxYLvJAt6TH2slE6QX64lEGzA3xnOyn7cwQSZh1P6JP240b1cloMJ56mHJ2H0PWIboNk1J6gtvVV5Ay2cTNKdNsz9g4G7HDpfoHtIMEgrA9+0l84XG3fYoBuY1d5pO0o3WEktrsWt7ppFhonuRW523GM0lBvkfu4xLv80n7RWw1JpcaIoihlNrGgfQLXK98C0PJ0GKdjmgghMkf187yb6dbPGbtpjd3gMH8A+SsUfYpTzBZ/BL3ZANWRSIT/IH7bfxgJaFWqRq7lUcAqDsz9Cv38NOlJ8joveTtrahCIaMrbBXJZ2W6bTCReZp7SQZMI0IW2+cJwgppsxtX+uwqfp6BaJiimVziytl9tDrTdNxZpIwJwxoV5yZH1Qc5E18kbfQQbsA72s5t+mUfGWsrhrDQhU0xsxNLpukytlO0x2m6CwlZSWjc8RosqYkXouJOs+BqTMoDSGLaYUwunRB+pqsv807n96hQo6CHSGKm2+8k5CDjEYrW2IZ4LikaVHTOVr9KEDuktW4svchOu0SeDC1nmu85bxLEknPyLR7J/jyl1FZS5gDDxSewUyO4cZ2Kf4tr7VdZUxYZircBJEAJoaFvNFDcKCYiQBEma55OGCWD/a6/Shh3qMm7DOYfou2tsuAa9Mke0lqIEApj7Cej97Jc/wgnqLDcukAoPXYqW5mR54GYs9Wv0vETUet/up3hYvs7pLUeVCVF072LJVM0nFlUNbtZfNfaV+nKHUCXBlHsM5p7mFr7JlKGqGqaOHZ42v4sVxuC5wYznFgt4YVNTjZX+YH7p3TnDnGn/T4FbQtR7PP9RZN3679BPXaoRi7d9k6kjOmEFTqiyRqzVMQilzpJgdiT2oUj60SxjyI0phoJYalNNXElRZIudSuK0Kl2buKQAEfOVr9KT/4wL9d+nbXGGZbdS6x5JrvyL3A0/SWWOiE3myK5vuhlVHRudxLC4jVxOmmQRFUGUhFd5g7Wm+cSyatMBtGnGwFFayspvURKybGdQxtRrJ3oWglNpOiLR6lFDg1njpxi0p07xN3aO2wzHsDAota5TS3QN2cQUuYAC47CanSTYtyFriiUySNEUvBYIo8vO4kfDRiXOwnCNoaa5lo8g6kmn6mOn1DuDDW5pq61r9IUFZr+Il3GDqSMqEcLG797g/XmOaRMTgpTep4grLBb2UY/27FEnuuVZHN6p/YatTC5bpyTF7hVe2XzFA+Sk8FieoIPgwsoQkNTDDruLBflZUy9AMAHjd8iiCV90RCz9XdQhM4RPYkrl/Vx1pVEFj1WTBDfI0oCHygpW6iHc2y3H2e+7SEE1AKfrGowXX0ZU81xrpNQ5fqNSdab55ipvsqaskxIzGp0E1VJ43gL2EYXzUBQaV6kHHcTxT4LDpuF2kfxO7zR+g+MpY6hobDmJRCUxdpxlt0r1DrTdCtZvr8giGMnmd9N76SYSWS4zXiFL3T9EvMkEXiBQhC2E6pd4SHGsikeNj/Lirq4OY91tfpNPH+ZMbmFsr2DGstoIkVKlQzmP8G809mAI9g8Yz+EFwsstchI8Ukyag/16C4LXCeUcgNCk9sEPaxFbUZFEh2LZMgLW2CxeZohdRLbHCBGcr72e+T0fsrmVlY6SZw6DKs8mP8lztT+AzV5l/ngDLcbb3Ky883N12vqBXRh04mr2EY3d1unMPQezrT+kA+j7xNEbaSM2ZVPZrZ+GD8UQiGK28zX3qIVrf4X7+n+RtbHxc1fa31c3PwIlhe3qIfzVP3bmEYfoXSpOXdYbpxEkmB3M2oPhXRyLN8KlzYMugk5LaXnySjdDBUfww0qyNhnr/ZJpirfZt1TCAjYXvosQdRCFYKGd5ecOcTNekCvdg9uKJm0uzDUNAviFmHUoekmA+qQGIZL2UnW/Ztk7HEuBK9yu/oKl6q/T9beTl/+KBnKVNqJ0dxQ04lw1L3LbeUqoYyZVacRQqPSvMh4vIfdmU/jeIukZYEVz2VcHqDBKpZepOKrtJ3b9KVCdDXNujNFFDU5WMxScW9hKAoVd5qCOYKimKStUY4Ufo4h6xALrdO4/ir3F/4eXZmd9OXuA5INfE5mCOJOEtPSSgQioCXqDBuHMIRNd+4QDWeaw8oDlLKTpJWuBNEpU4znBAKVQVvlifw/AhltxpTSRi/duUO0wxgvaqApBiudy9gyGVzfmv8ksQy42P4OQ3KYL/f9s80YiiZMRotPoQmFsqnS9BY5oH2KobROJ4Tv341R0FkPp6moK1R9H1VNU1fWMPQuVJHQpI6kxomkx5oLujQw1DS6NFnwOqSVBCDQ8pZohiEBDitOyO5clp7svs3OfTm7j/54EFva2EaZkIiqsoKu2EzmX0RTs0gZ0w4Fk9nP4gXrmFg0O1PsLqbYxVFOxafRFcla8xymmmC274ophgqPsNw4wX3qXlzZII47DMZjPDdQ4HqrRSRD1jrXqbWv8kb9/8l8cAYvFozLJJ7yafvHKWUnqfmzvNz6Gqe9l+jJHyaMmtxw32R7NmZMTjKkH+AHtV/n3y/+G16q/O9EMkBNXh63WaAVr3LVfY2BdBL7zGkD7MrkabLKHeU6RQNWXUkQOxQy9yCEtgnV6Lf3oSBwZJUo9pLNrr9ONr2DJm1azjROVGOpcwFNscnKLNPVl2n7K5t2+yBssaTOE8kARdHYmXqSb9+tcUq+QxjWUIVg0NjLcPowffmjfCrzFVbFLGdqJivuFTJmH0OFR+gmTztYw/XXqbWuJfhnpcj9hb9HFHs0gkVq7assOi6W0FAUi6a3SNX3mRAPEBHhSwfbKLOwIcP84dyRqhjcrLzEFjPHaPEpuuL+RBCsJIAOKZPOb8ooc6utMZF/fhPDXm0lG6+V9hXCsIoCZBSdSw2b3txhLEy8+Id0tRyGnsTPKqHLWvtq4lPSuxjM3E/bX2EoLdiZeZqFxoeEUZMoatCrZRL/lWJgajliYhTFxFAyDCpFCvZW7rZPY5v9QEKQMvQucobCg90BBT0mkoLd5lP0K4VkXqdxih57NyY26VQ/kwXJ0fzPkxEmQ2YaU2Sw9BJxHJCWeVbaiXD5vmw3rmxgk2eu9jqGliGfGkZXJE5QQaDgePNMeeuEImClfoIwrLHiXqHLSESh1fYUqppcK9rODCXDZzm6zqXoDYqmyr2FJFJmaFkm9WEsvZjMYSlFqu3rKELnakNjzbtBfyFpOKX0PM1oiQd6k865oaVR0Cmp9sZ3wiQIK5giQyQinh3I05fZx2rcxA3rGEY3Z6tfJRfn2JI9Rs1PfGT51DCut0BKhXvEUTpKm15LZVvGouPO8kh6O/XoLqH0UNU0fgxvt7+OZRRpuvMc0LexPeMzGG0hY/ZRzOzmUqO+KcsciRKRaD7uou7Mbr6HHXc2gZJoJVa9hGQlhMa3a/+GW8H7zHU+AuBt93LSyBI6R7Snecjcz0DuKJXmRTStACh0/FVSSo7+eJSM2kOleTHRGMh+FKGTsbaST+/gEtd5v/UfGMglJMSqnzQReqJBIhFSSG3BiatktV7m4nUMvYdb7beoNC8y433IDHeJpGQ8a3GFm4mEsn0NT7isyDp1uYSiJGS0HWIMDQU3qAFJs85Si2zLhEyUXiAjTHx/mW3Jx4SGN4+tlBnOPsDd8BwnvT9lV8GikE4aYa6/TjY1yEn5HraWFMc/FHTqaibxv3nz3HU7fEI7hp0aoclKAsUxygRxh+6U4A3nG3RkUqCvNk7RXzhGIXMPb3t/RMObpxWtcETbQ1aH1c41CpqJQMEQFnc6SdGy3L6Iis5s4z0UodMtxiiZGtfiWVx/dZN2WVXWmIo+ZKT4JI32dRqBwnD2Ae6Ep7D0EiERuwufZ7l1gYhkb1A2Yaj4GFWlghAaXWIr9c5Nfiz/99mWeQRNTYTjHW+RHN24URVbKQAx2dQAAoW01pPIvvMPMdUUON48WXs7A4WHNk7JTPLpHaw0Pvqv3tv9N10fFzd/rfVxcfMjWOvNs6w3zxHEDp6/xEz1VVx/ib78YRw/yZffrr9JvXOdXGqYLdoh0qn+zYx6tXWZ6erLzFVfJwxrSCRryjIDhYe43ZKcbfwerXiFWvsqF+V1XG+R1dYlulIaV6t/CEArSC58GiYleztb0w8l/ozi4xh6F5XmRRrOHM3OFM+mf4KdxRcpZScx1DQpJccubZhduc8lNyF9jC5zOxLJbrmXV2q/ykzjbYIw6XKWtBTrzCfFDvMsKAsEImAg3oqiaPxgUZIyBzlf0+lL7SFnDhLLgNPVJi1nmqKpbAo7hTAxtSw344+ohDNkUsmGRkGQUXpoePPJBX1jGHm1dRlLKZJJ9RMTMyyHuFj9OjcrL5FWyxTTO7kmp5Ey5nbzHebaJ3BFB0tNIAIxoAtlc6YlMaJHmEqGy+4KWX2AtNZNxuzjVO23WeyETFW+zcP5f0Da7CaQESuuh67aeP4KM423mW8mgruZlottdOPgcafl052CsZzGdPVlCtowk2I7r7V+h4K9HUmMrmWIJIRRk9PuHG5Qx4kkl5zvEsQON1qv4gqXZrREd/5+HG8eKUFF453wDW43XdrBGjtKP861cJFudZx1pYKCIKUVWGIKJ66yWH+P2/6HyXyHt0ogBWerX8XQi8TE9BeOMd+KcIWLJfKsehqWOcAb1QWCuEMXI3SidXYX/gfe8F/lKesoffnD9OsZttghEcn7F8UuffmjHMv/In36bi7VVfrMFCmRJ5ISU83RaF9nn/UcpVRinY9jj0dTL1LxFeaUG8x4HzJUfIx/MPQL/FTPP6MTr9NthvTG3XTHXThBhceszydUN63EXOM9fuvu/50g7hATU/XB1sDxVun462wrfhrLHKKQ3snd1kdcj+d51HiYevsaqmKiCI1G+zr9SoGhwiP0aDsAcMMax9v/iZ78YUqp5HOdMRPSz15xD9PVlwkil8vO9ygqNvcrDwNw1+2w6F+kFa+w3r7OBc4xW32N+bakOzVBlz5OWWzhRPQqzc4UQVhB04oUM7vZK+7hivcaTlCly9jOUOERppUZAhmxK/85RlL381H0A5bVOQbNDCv1E1RbV1GVFB13lvHS8zQ6NzG1LBOlF2iHCazigvvKpjdDEtOV0rDNXgZSexMPiwjwgnW6M/fSlz+Mio4frLCl8CTzG3n/ux1o+osUNJP1jVkLJ0gG6cvZfUhidmefp+3McNB+kVX3Gn5QxVLhfPVriRw1am/6Pbqy92IbZSy1QJkhBnJHWap/wHvhD2h5S3zC+kkcf3mTNucHa/xx8xXudHSaoWAg5XPZe3UzYnuk8HPMVl/jsLmDVmeauY5Cj5rFUFRu+Gt04iqLteO4QQVPuHyl52c5pE5ytxNgK0W64m6GC4+T0gss1T8gltBtTjBdfZmBwkPY0qIc99KVO4CmFei4s7QiwQ7jIcKwynD2Abpzh5L3yrEoaaNk9D7Ot9dYcBIRcywDFrwOg/o+/LBBPu4ijp3NDXHJ2MZy4xTFzO5E0umt4EYJea3SvIgqdII4phktcY9IsLyNaInD2R5OrCRD+3WlQlrvwvUWOJb/ReaUGzhxFVtLoCXdyjj9hWOMZ3xKqo0qNf7d4m9xo9mmJ3+Y880qlc4tFmrv0JPdx6l1Sc4aouHMbc5yXWkYTCtJPLjlLnIxfpNP5H4BSEhs3blDRCJEU1M0O1PMVl/D0HsQqEjiZC5RG8Yyk2jXw+ZzxDJkpPgkT9p7MEWGUHqkVZ2qF25CbBShsbPwAl2p7Sy3LvBh66vcrr6y4X+x6KGQDNSntpHXh5gUE/RmD2KIDN25Q6zI+uY9OxsXqXSm8OMWNkWK5EgZRYKwunlPuNl5ky7ToOHHxEQ0nDnCqM7F6teJCGkFywzkDicAjTjkpnKZIOpQTG9PPHBRnXdXFBa9i5yK36KU3YsbJRLPUmobe8UeYoIk7mx0UfUkkQyphDPkrBHKxvgGMjuJtllGEWUj8qeoWR4yf5yCZjIdrmHpJfrkGIX0TtJ6VwIaqYX0WntY61zHVHNsLT7LYu34xomcQsboJYwdljyHqi8Iwip3wzpuWGe+9hZb0xaNQOD5SwSyQ292H3Vvllvuu7ztXua2e3yjAaEgEFypfoMebQez1dfoyx/l3RWYbb6HH7ZZqZ/AQKPOEqZeoO7PkzX6aQTQDldokcCFeuNuenOHqEc+BhZNNzlximMHS1r0ajs5qh3ED9aoOzOEYZW56uvk0hO0olUOFkN68ofxgiqrrUtUW5eJ4jb19o3/U/Z6H6+/vevj4uZHsLYWP4Np9NF2ZjZBAlKGrLenUJTkdCaKGvTlj7JSP8HZ6ldRUBJ5Y/4wwOYsy3jpecrZfbSpEsuA7bmkaxPGHjsLL7LgnCWWAQV7K5GEQmZXgoP0a7TcRbrkYIKWDhPB2t36+5vUIdvsBaArlaAudysJseSwdpAz0VUuVr9OX/4oa/4NPNmiN3cfBd1grPgM96W/gKJY9BeO8a31f0EoPXqy+1hsnqYcd7Mi5slsULW+OBoxbj+KrUnW/BtEG7EbSUzaGuVOy9/s9miqja2WaTjzrDZOUdbHGc8/TUCAJ5MO8aT5qcREr6copXdQoJcw9lFQ2JaxNmcpfOkQxA47xBj1zk2yqQH67X30xD28tRhR0Ibpt/7CeTWgTSa/B6EzX3uLplLFEDZrzg3cILE991gJrWVVWeFB/VkuxK9jqRoFc4SxQvK8BArXxS2uiauoQiNNikbsUTYk7Y15b12afBh9wI7sp8hpA3TF/YRRQr4byj/EirxJx51lxQkSTHRQSzwowiOMHOrOncQboamMxkn07QInGTWPsOxdZo+RdLHqLLGurOOGNZZbF5ivvcVo4VM02tdJW6NJgScTpGq3vZNyXKLq3CatK9zhIgCX6wIhFI7lBghjhwuNP6bauspieBmBwtvuZRZrx/lu+z9ztqozo1yhFSwRRk2W6h/QUdpcrX4TQxFMeevcrr5CMwxYrB1HVXPMyPNkRdJxBXjHf4nbLdBEiij2yFCm4UtOhFdYqn9AM1T5Qf3XORm8zBbzfj6MEiJTEFYYzz/N/uJXkoFZynyz/jYnK00Gs/dRSG3hbjsZZK93pgijNlcaL+FGMRKZ/I7tBJF+Vp5lvvYW/fEgjjdPs32D4ewDGMJKgB9xyGrjFA1nhnPyCkOFR2h2ppiwn2RX0eBN95v05Y+ypCyiqRY9YhxJTJ4+dhZfpBNKGuECujS50vwOpppDETqaVqBgj5HVB5iPqnSn7iFvbWG+9SHztbcYjkZYp8nNTgKz2KE8QCwjbnvJ51PKkKI1lmDeZSsRowqdG9U/4duV/41Adngw9SK19lU0xWAsdYzjzk3CyOFO+30uV0OKcQ9R1Kbm3qHh3cVSErLWTO3PmcgGnJVnKZswljrGyTg5jS5n92EbiYBwvXmOt+v/ivPVr6GqaWbEefqtvUzmXyS14UlJmQN05w7xWOZ/5KPwMh1/lWrrMm7cYFXeph2uYqeGSatlwqhJl25SSu/cbACZRh9Nd4EgBkuVuLHCPWZCHus3J7kSvMlo8SlWXA9NyzOWjnjD/RMW41qCmd8Q+3VndhMR8PX1r/PNtX/ByfgkNysv0W/YFBnYBKYsuDq98Qj9hWMEcYdp5QoNUaPSuoyUMfcWvsShUpOZ6DQSydZ4B6uNU9ipEbJayEi8hbXOdSbtLv7D6lkcb5ko9rnCB8z7Z3g6+zPMyUvJa9NyaArcI3di6OVN071tdG2i44cKj7DonOeWcpsedQfv1n+DYGPTuNgJORNfJKf3Y8k0S/UPyFhbWVHvsjXexVLrHJfqOjPxaS5Wv44mUiw4OlJCRSwmEeEN4fPx+r/GDxIB6VrrKhe8BRrOPCk9aS694b/Lq0t1UiKHoWWxzG4MJcOl6A3GS8+zqM5TaV8lwMdx5yhlJxFCo2Rvo9aZIpsaxPUWuNv6iI47S619lSvcwDbKzNff40azzWzjPQbVSdZCh1DGNN279OQPE8UOK9ENuuQIpl6gN3uQ/sIxHG+eWIacku+w3kyaCcudy3y//QfJfUoOEcuQjmhhp0Y4Xv/X3AjewQ/WcIM61+rf5pa4TsdbZkv+cZxwnZYzja6m+cC/Rt0PmWufIIoabMk/zp7iF8nKLK6/jhPVKKR3cpXTLHcuU7K30XDncGkxoO5myfFJaQXSaplaZ4pvLi2ga0WG4wmm5SI2RYRQeMx4itfcDzaFwaaa42blJS5zjfu7JLXWNRrOHEV9C5Cczl4Vl7kWzxAIHzescab9LdywTkpJTlODWOLEVbrtndS9WWIChgqPMFB4iDBOTlrr7RusK1UuVHw0NcsF/xU0xaC/cIzXOufohIKUOUBKydMJVum39mLpJW433iSMkmZeX2Yv2fQOjuV/kX3aOBOlF1htXWayqJCzhmk508n3QkmxW+6l5UxTMkYJ4g59CcyULD10pXexrlRp+Stc4kPmw/OoG/46gGl5lmvVP+LD8BzFzG7Gco8yVHxsg1y6Tq0zzY2Wjio0YhmStxP/WBx7lLKT2Kkt/5U7u//G6+OTm7/W+ri4+RGsanCHvLUFOzXCWuMMdmqEjLWVgj2W0D7CGrn0BGGcyMZK2UnqnSm6zQlMJcPBws/g+GsIBDcrLyWOE3pYbpxg3RP05A/TcOepyjmi2Geg8BCrjVMM2AplY5w+I8OBXDkx8soLbC0+S7V9lVx6gtH842StQUrZSdruLKqaxtLAkCZLamKJd6OIrqg/gSEoNtXWZarONLpiowrBTxQOsqzMEkVtFmvH2Vv8Mgu1d1hunCKOHbrUNPfInaxTJ2Nt5XzdIBfneaDcYbv2CbrUpHDbX8jTb+1FUwS20Z1QWPwlIgL6MntJW6NMVb7N9cq3mJOXMIRNy5nmSvAmdmqEUCZRkbPVryKEkhiSTYEhLFaaF1mqf8AB7WncOJlN0RULVegMWzafGlQYi8dJqQmlCOBS7T+TUvKsNM+gaQVuNX5ALZzD9RZoOdMUxCBrbogubK7V/hiAWvsGZ+OkaJhtvkdX7gCx9Jhtf5hYy5UeFpQFzoTf46M1GM/BQOEhrte/w3ztLSbEKLerr1AXiRzwVxf+PLHDb2z0V2SdojJMv7U3ob15ST4/CKsM5O5j2e9QVFOJsDRa53LtG3hhk7f9j+hQxabIpLYlIWFldjJWfIa7rVNk7e3sSD1Kxuyj6oskdoLGirLCcPow7SCmLEbRpcn95YiiOcqrrat0GTt4IPNlxgqfouUtEcYOCslQ7JbUEeZaEQUGCCKHOPaYLH6JVGyRMgcoGhJbWmwtPkvZSLwfvdl9FJVhBAn5Zqz4DDm9nz5LYEhr8/RRAhNyOz35w3QiQS49Qcbo4VL198mpA5sY5+uVb7EYX6Pu3KHFOo8Yn2A4lU42za0LON48rr+MlCFx7HBv7sfRhEgIP840rXiVfm03w/GO5JRGS1HO7kPXy3TJQTRhYuhdDKWTeGQUtcnHXfSxHV0r0WCV0bRkn/EsVec2NbnAWuMM6/IOijC40vwOd5wPeXogpqyPc735PdJmL0v1EwmuN3uQ1fpHLLXOokqNqn+bsrKFIEw2TSlFoymSDco+fStT8kOG460EIsF1Z+3tm8P/kQxYrL/PevMcht7DU4V/zDB7SCnqRmFcZi2eRhIjiXG9BQ52afSIPABFa4y00UsrXiFrb2eo8DAnKzoZuqj5gl3qCFvj3RQzu7E38O53G8mp5d7ilzmW/0WiqE3Du4vcaCG8v7LhqhEakfSYFbPo0iRnJi6KnDrAfO0tFKFjG93U/FkGcw9QC3zy2iBBWAUgjDoMpg8RxGCrMbYakZIWPSmd0XiUHvMeFtvnqdDED9ZohQoH9KcZVIqMsZ+79ffYZjyAH7Upx908bf8P3F/4e5ufw1rgU4yLHM7/XTLWVvYXWvRrORZrx0mrZe5lH1U5Rxx72GYvAR4NX0cSMVZ8hppokrZGsfQSBcNHSrkhaxUcM/aiqWkAtor91NpXecd/mV5lB4pioisWhiK5Ii7gegtUmhex9BI92g6aYYIw72UbttFNTMSCf56x4jPoWppiZjcxkkdS+4gI8IWfFM2KyZp/g5KW4qH0VygZkkF1EtPoo+7Ps+Qq3JVrTFdf5iHjAfpSJoPpQzyc/wfJTKWaRgiF/alBjtqfp2CO0Jc/yi55iN3ZPLdq30dXUzTa1wmlR0bvoxWtMN14I7mOxTcZKj5GvXOHnYUXCGKH/ux91NrX2Vp8dlM+2507xHT9dfLaMOUN8XUUNbja+h7XOMFH8euYeoGM0k3K6MZWy5yq/Ta6apESObyokcy+tS6RVwcYKjyCafQxkj6CbXQhZURbtGk4s6SkTZ91L6XsJI63SnfuEFusI+TtcVJkSOkl+uJRuowdDBUeYdQ8wiPWPSzICkFYZ6T4JBEBT+S2sq6sM5Q5QqV1gXrnOjVvln57XwJfEBqq0GmwyoFyii5ljP54G4ow6aFINjXAnHKdhegyM877ICVXo3n2c4hCeicjhcdYqL2DulHg3GoplLN76cncy2zzAzJ6LzlrhKP6PkblMBXmieOQLdkHGbAPMFN9lV3FzzMbVVCEzn6RNFznGh/QDleTa79iYOoF+vJHAbgRz9GT3sM+41la7iKLteM8bu3j3bUaQdjClx0svcRC5yz3iKM8l/85yvaOpLhunkYVGiY6W3MajqxTsLey7gnuVZIGxH3mj7ElY5JStAS/78/QcOf55Sv/NwraFjQSQXeVBVShMcA97FIepOPObs4kppQc3fn76YtH6dN3s+xdIUOZCeMRtmUeY1vuCSobp19R1GCtcYY+e5Lx0vP0qTs3m4l/W5eUf0XPzce0NODj4uZHsvywwUr9BBmzn0J6J0HYImP0st66hKKYFIwRgrBNQRtmpvE2bW+VlNHH7dr3WWic5E58loHcfYwVP00uPUFX7gDDsh8pY1KqpKgOkza7GSahfaSVRIo5346phXOcCE/z7ebbrDfPkVX7mG8l2dKWM8Oye4mOv05eGyaOPaKozUI7ZlG5RSW4TaVzi2vcol/L4firzFUT1HQSgYq45q9wvFKl4t9irPgMGWsrHdHYIJF46FqRpaiBRFJX1mg50yx24Gr8NkuuSSB8bjS+D8CFWot2vMZ8VMUN6yy1zmPoXSzVEqeOrXdRzOzGMofoVXaw5FxkoPAQab2LjjvLYtjA8ZfJ2tsZMQ7xvn+FP6peAWA4dxQ7NcyscpMPgu9QTO9kuf4hNysvccOp0ggVAhlR8yGrGgihIWVIO15DCI3uzG5SeomcOsDW4rP0F46xHF7lDf9V7tRfxzC6uSpuUEzvZM2bSjDDQks2EmqWHfbjdIsxPNlKcNcb/oN2CAu1d9idf4GDhZ/hT6u/Ql/+KNsZoxUu0aWMoWslerP7GC89j5AKtsySj7vIWUM8lvrcBlzBY6HxISUtxbvhn+NGVXYqDyfxIG+enXIvAIvBRWb8GqaWZbV1mbsb4rK2O8vZ6lfRFYtX1xNz/J3qn3Op+vtUgtsJxjPOsy5nWPFU1pwbPGrvpBz3cke5xu3a9zes10PMO6coGCN0qDKcUbnZeZOWM5185ljHFx599iTLLrzX+TqdeJ0lz8EJKizW36fFOlU5h5QRjXABL26x2IkJhIfrrxIRMN1uk9Y0UkoOKaFsbOOgOEZ/4Rg2ebamHmS5cQZI5rEG04dYc66z4HXI6gn1rzd7kGJmN4ZeZrj4OLn0BC5tZsIKXtRgrPgMKSVHRc4RiABNmEzFC3T8NcYzT7Am7tInxwijNtP1JPoAEIqQ6/5bZK1BVt1rzLQFtkhcMXnRx9bis2RFDzlriAfTXyaKfS7UNaYq30ZTbRqdm/TnH0AIjSDuMFp8mpHsMTIiRaNzk9ud9+jOHaTWvsolzhOLmNXOVd4LTrJfeZTrnKQjmtQ606S0fCJnTW1HQaGQnqC/cIzB9CGuivN4wkXKZMO43rnBevs62xmjx95NxtpKIxCckx8lM2yxQ1EdpubcoeMt0AnXOVL26Zd97MmHhFJy0vtT7lOfou7PYxp9m3ODmkw2NylzgC2pI9xpvIsr2jw1ADuLL7LFOsKwdoCsLHK1+k0W6++Ttbdzu5ZcG5ruApowN0hNMUN2irnWCQ7kfhpFsdBUmx45xPV6gqe90zGpKmtca9dxpb/p12mIGl25A2S0mA+db3JKnqRbyTJUeJg7YYLBjZHMR1VG1BLdcgQ3qHFTucWassrp1jcxtDQ3WzZOtBFxkS0asUfdnWO89Dxd5nbuuB/SDDXSWg+B7DAvL2HpJart6xxfy/FO5z9R3Nis78grDGbux/UW0KWOafRhqjksaVNI76DlL3OjLpmpvoq1UfQJoXC1+k10BbL6AHflFQxh4cRVdugPcbv6SiI3dO/yhvsSU506i7XjbKEfRU1Ta1+l2rrM696f8WbjN3hvOWRV3sY2yrTdRd5ZbdBQKmwvfZazwU2aQcSSc4GyZidAlNpx/GCNOcdhRVlCCHUj1iv52vrX2ZX/HIPaPoaLj+NvUN3y6iCZVD8y9rGVJHoUR02uVL+Brli4cYOu7D6mqy9zt3mSpjvLgLqbidwzCBRiGTKj3gJgJHuUSCYFfEorsNA5gyJ0ZquvMVZ8hkiG9MYj1Dt3UBUTKUNWvWu0w1UG0gcIpMuPZ5/BVDLMeB+iKAYz8WkWO+coaFvozx6k6S1Qjeeod26yGt3EDxNIhCsbOFGNOf8UXgQ7zR5UxcKPWyw0T/KH9TfQ0FhyLpAyBtC1EhmjF0dWUYWOF9TIxSUa4QI3GyHTnXewMFHVFJNFi5SSyIAfNZ5MCmC9TC7Ok1IV2t4yM9VXGS4+TjE9Tl/+KJ0QhFApiAH8YIWF2jvUOtOs+h6mojIa70JRNKrhHQIcDL2HK9VvsMPowo9b5HSNvDlCFDWoti4nNL3UdkqpbSw3T7Msb3GPMsJC4wQmOlHs0JU7wB/W/4gnevNEUQND2CzWjtNxZ1lTlrkRzxHEnY39ToXCxomSH0sG4+04QYWyKbGExljxGQyhY2tQNDVUdKSMGUgf4P7C36MZLbEqbzNUeISZ6qt0/HX22/10bTQEjuZ/nqHCI+wXB0grZepKhavVbzJo7OV25z2uea/Tpko2Tk6cVaGRTo1ip0a42zyJLztcqv4+YeT8NXd6P+L1/ycnN4888gi//Mu//H/6435c3PwIVjm1DSG0BN0bVBnKHkk2CukJ4thLxJOpQaYq38YyElQsbBDCogZh5NAJ1/FlizByCCOHhnQx9C7WXGjEi9Ra11gVcxStMZy4SlfuALecOmuNM/TH2/i73Y/QnTuELXP4wQqW2Z84TsJWgm0miTpMlF5gT1GhLIdouvP0Zib5dHYnbhRtRg8qrUv05A/jyw0KirpEJEMW2mc2O65Nb3HjNcSkSbFKnfl2MthsbEjPFl2VAJ+8nVz4BlM2lijSRY4uawcpowgk8y+ebGGpRUw1h+svUYqLFFNjLDdP4wQVthafJSMsSumdpLRkE36ftpN8XEYTKRbbSRRmuvoyjfZ1qu3rCMVgoPAQ+7NlPlwJ6TVs1lzoxCHl7L1MFr+ElDFR1KbSuUXG6EURKikyFMQgD2hPs1W5j3JmkozZx53mcdab5yiao/Rk9+EHa6w1L9Bt3wNAW9SYqyUelUOFn8XSFG41kgvPxerXue69yeO5X6YTVsjoKmmth5wscE/20/hxi5nG24wYBc7Uv8ap2m9jqUXeC15NvEPpiUSCF61iqUXK+jgVZQU7NcJo8SnKhkGXHKHevkFdqeAGdTTVRtdsyunEqzFQeIiV5hme7e5HEybDxYRqZqkF7gQVxswCAGfXI/rtfZxoz1MXFeZqb7Kv8CUcd447tddpOzPUg/mN3LlkzP4EBws/g6YVuNs6xbjey0z1VcoGfDr7d6h0blHQko3rPYXPMV99I4moCZ315jkOKI8Qy8RPYBm9TGpb2ZpOowuxQSATzFS/x5pssN6+zrTzLi3WAZICxRwgJiCfGmY8neFWy2F7OomXZPQ+LL3I3fp79JuT2DKLgkBTbNb9Wyy1zlJ1phlSi0giBmUPsQxZCi9TlL1ccF8hnRqiJztJHAcIobHPHOKg/ulEbJo6hBvBefkek8UvEQiPEI+1aJpYBkwrV8hbW9CE2EQMFzO7Wai9Q8YaQxOJjDAlMwQyYlvxWVwv6V6Ws/uSqKVM4COGsHGlzwT3cdDYxv7sT9L2VxCotMIlVtpJxrzlr3C7+l0G5DZu+x9iaSp2agTPX6Irs5PVuJk0E4xuDhR97lePkDLKrDcv0I7X2G09zWDuAdab57hQN1kSKyy4Kqfi0xRSoyyIZXZrj9Nt30MYVrm/8PfwhMucOkPa6MEXDkFYYcE9z1xH5Wr1m8x7Z/FxONf+YyZKL1DK7EFTDB7P/YNEMpvqZbl5mt3yMHPV17nWrtOT3s1drqCpWXTVZknc5t6SwvcWNNxIYMssHdHh7fq/oit3IIEusIqhZJh3VHakn6TmzXJFXKMTrtPx12n7K1yN32ZILZLRE2S4bXQn0TyS328Qucx2kv/W8VdxggraRozYjeuoQidt9BJL0DDpZRu9yg7WGmfoye6jHcJk+nl0NcNUq8M7K51Nl1NLaREE69TcO3jCTeYfhMpFdzE53Y86ZKytrDXOsLP4IquuJJYBLX+ZnOhjm7yXBa4n1/rUCJpq0/FXUVHpyx+lFftsyz0BJH6ugr6F8eJnmCjoVJ3pZAYhajBqZbhV+z6LznlarHNBXqXPupcwlmTo4uH8P0ioXDKmGs+hk5D2lpRF7jWeocUaF6tfp4sRthj3MxHvJSJIiG32OG6c3Ne68/eTMgewlTINZ5b11mWOFH6O+9NfYCT3MHeji+iYTFdfxtbK9EcjFDO7mW0eZ0TZyxeKL3KP8gnSRg8Zo4diZjchHjv0hwCSwmgjumjpJRrODI1wgUa0wKudk9ytv0Nfak+CzFf78IJ1lpwLLDZPM2Z/gpXmObYWPsVq4xSZVD8f1H+TTrhOtX2VYeMQXhTTZyfFaTtYI5sa5IjyIDe99+i19iS/r1Q/3UriUNvPIbozu1nmFtvUwxzqUhlOH6agmbjeAm4EhshgiTzNMGBf4cuMZI9hopMzVLoyO9lafJYeOcpa4wyrrQvYGphKhuuNV1DV9CaB9XT056Q1lUAEbEkdYa1xBjeqU7K30V84RiMIKWjDRFKiCZNceoJceiKZtRU2C40P6c/exwATpHUFGbvYik4cOzTdBcaMI7RDyKUniGTAruLnAcjLEoHw2CGO4IZ1ipndzNS+z6qyxoeVGufcP0MIBT+G6+IagezQkg6rjqRoClY712h2pnBlnS8NdrPaOMW43IcmEgDSYOYQqoAZuczW4rNci95mvvYWtqriyjqV+A6KYrIUXGZL+gEMLU07XGUmPk13KgEoWXqJMHLpzuyhFSb7Lcso/VW3eP9t1t9QcRMEAf/0n/5TJicnSafTDAwM8NM//dMsLCz8pZ/zPI9f+qVfoquri3Q6zXPPPcf8/Pxf69+GpNgRQiCEQFEUent7+Ymf+Anu3LnzX/U4/10VN//iX/wLhBB/qcqTUvK//C//CwMDA1iWxSOPPMLly5f/0v9369YtPvvZz9Ld3U0ul+PFF19keXn5/+3xv/vd73L48GEsy6Krq4vPfe5zf6XnWffnydvbaXamEEJhxb1CpXl+M/LQlTtAXk2wts3OFMPFx0mbCT1NUSzCOEG1LjbP4AXreGGTKU4msq9IUhajbCk8SYYyOaWfdrhKx1/jYKEAQLeSZbETE8twU0rZdmZYaJ3FD9boyh3AJo+mWmTiPDNtuOq+RhDWCKXL1bqDriiJxbfwEN25g6zUT9CljHGv1cu8c4ouczth1ExkesFN3KDCUOERutL30MZlh9GN482TS08wnpUsiVVeXeywGF6m0ryYdECjmCxllqkwX3uLIWM/OWuIcnYfE/JeltsXWW6cIJ0aoSXaVNyki9dl7mChcwZfBknHqnGKtdbVhNJmJDfEgfQBbjfeRFVzPFf8p6SMblQlzQATfNCeZ1tOJ4olY1m4Ka5SbV/nZudNKp1bpMwBTD1PEDssORdxabES3kAVggOZHlSh06Pu4In0l9lafJY15/qmNC6OHe7W32Or6Oc+NYns3G8Nk5YW+4uSSEpK2UnK2X1kzX7eaPwGtlaiHUZ4cYsHi904opEgu/UC+0sqpUxyQpcSOZ5IPUPJTpC+QmjkZY7ReBej8VayssiAvZ/xeDdDaZVu8gzkjxGJkJw5yFD6Pmy9i4zSw0j+EVZaF9iSf5wwTizxefowpMF87S1uRMfps1RySj/7yyohHofTQ/THg0gZcqHxx4wWn+Zw/u/wdOEfoyomXYwwkZdIYk7XfpeUXiIIK5yLbiAQlM2Y4YwOxJyIP2K9eY6V8AbF7B66cgfwogaKYtGXMvFjSV4bpOVM40YRcx2X/rRClm4qfiLwS8kUA5mDCfFJ1slZo6z7t4hjnzV3ipTIc6fjMJ61WIlvIoTCujNFrX0V20ycFKtiFl3qpJUyjrfKeOYJHG+eK/FtVHSqsp14aoI6WZnlPvPHKJqjLNaOc8T4Mbqy+1hxPd5t/TZjxWfQMAli2MMDLEVXScsCofRwwzpSxsTElJUt1H1J3tpCFLusN89hGn34YZOy2EI5uxdXtDCFSjteZ2/xyzS9Rdab59gi99Ajh7CNLu4VO9mfL9AWDq+6P2CJKXLmIG5UJacNMJZ9ZPNk4WDh75AlzaCxl5vBMoXUaOLTQmXMLGBKm5X6CRYcjWvxDFJGSBmy3LpADwU0EoqhpUq20E/dF9T82SQ6IufoUbMsND4gY49zI3gHHYPhaJT15jnm2yeTwXvFoDeVACuanSnWomnGM0/QiBcTD4i3SlXUk06yPk4cO1wgib3qaLTDFaSM0dQUkpi9Yh+zLfj0YEjJiBPsvZhhZ/FFxpX76cvdR4EBFBS+tXaL7riLlJZnMNqIaVo78IJ1hrUDGKpgzfM51/wGUeyxwHW2MUrKKNJ2Z9GEJKVoCKFSa1/FECpPWj/OfO0tKsE0a80L1IOkALrmvY4r2vTlj7LauszRssOY2kOXMsbDPTZrosLt2vc3iXSm0cuE/SQNVjH0Hlx/nSPZAeI4IG+P0nKmE69TcJn7SjFrzg16UgnGeCSVZaF+fCOWvJ9CagufLfxdurSk+IiImKp9Z2NDmqDinbjKnWbEPfaTpMyBROzshxzOfoUo9tkj9/OEfS8LnTMMZwxiIlaVFdygzk+OpNnGQWrhHZreYjI3SQqBys7ii1xqvoQjGuzKp5lrnWA4dxQnqBLJIJkhrJ9g3H6UZfcSfrBGzhqlqqzxQfO38WSLHnUHd/yPKGZ2s+5McW+uQEor4Adr5GUOJ4xZVuewtTKLteNUW5cxRYZ5eYmnerq4Uv0GW5UkMpqcCIRU29eZEA9wQNnPYP4hquEd4thhKN5GKbOTbdbDbMk9iEsLiLlV/S6K0Kk0L7Kn+EWa7gKm3k2f7EEVgvcrVW5XXyGMEkFor61zxHiORriAZXZTa9/kUvX3cMMa3238W0rKFiruNGviLkNWiC5NnCikK3eANTei4t/CkXXWaVJjmTXvBodKGbpSgqa3SH88iidc0tYow7lPsK8QoqIBEZqaJaP3EUZN/n7PZ3GjmEm7i3xcYrj4OEPq5IZGIkXJ1OmNhtlTVNnHAQaNvbScxHW35t3ANgfwpUNGpollco1VRYKm1FWb+6xhmgHYWokMZRb889ipEbpEjnvYxpXoTeLYJ4x9unP3MeefYsDIsst6irYzw90OKEJlXO7jQK5Mny04XltFVYwkoSGKLPwQWKLeYcW5Sik7ye3qK8QSynGR6erL9Bg76cod4Fx4k5TIoys2cexR1MfwZJMHtKeJZYBAYbYlscwhVhun6M1MUvdm6dWSfZYbVP9K+7v/ZutvqLjpdDqcOXOGf/7P/zlnzpzhT/7kT7hx4wbPPffcX/q5X/7lX+bb3/423/jGN3jvvfdotVo8++yzRFH01/r3AX72Z3+WxcVF7t69y0svvcTc3Bw/9VM/9V/1GP/dFDcnT57k3//7f8+99977l/7+V37lV/j1X/91/vW//tecPHmSvr4+nnzySZrNxNXQbrf55Cc/iRCCN954g+PHj+P7Pp/5zGeI43jzcf74j/+YL33pS3zlK1/h/PnzHD9+nC984Qt/peda71zHCRLKiqakcLxlyrn95LVBothjrXFm0+cyXHycqns7EVG2r5JODRHFPnVnBlMvUErvRFE0VuonyNrb6bUU8nERV9ZRUKhGc5sDdoYC3blDVOMORVOgCI1tSh+KopNLT+AHK3TlDhDFHkvRVQrGCNe9N+mzBF8s/TR5ezuRDEmrOjfkbYJgnU6wyoi4l+Hi41ypfoN1L8D1K9TDuY3nZiFlTNEeJ6XkqTg3kSImqyscKvwszc4UWS0mIuQnR1JYaiGZb/AWOdarcbH2B9SVDepO9Rs4QYVq+ypT4hIZs28Dd6lyrvlHKELngcz/yO36DyhZ4wyaCUJ2uPg4upbhA/9PGM9pLKlJ9yCllyimx3k/eo0wcinYW9GlTiq2yOrJBeDEakS3HCaK2gRRCz9YYY/1abygTpc+TsboJSYgiB10obDmhBhKhnxcwpcRrmwwaB9EVXOUspMMFx+nP/8A3678b0RSoopkox4jKRkhO/IK+5QnUITGU6lHmSx8ATes8VH8HrEMaAZQD++iKTZFc5RVD3q1e8ilJ9ClyQfhSRZrx2m0r9OT3k1eNXm0u0idFlVlhbvt00wrN2htgAsGmOAetmEoGW5WXsIJKkQyoOLP0JNJvkvLTswBdScDspfLzveSWRhtJ7ebAdVojt9avsBS8ywrTsCsOs1o8Sn25D5LIDucbH6dKi2i2KPOKkuOgkfSbZbElDJ7GI1HQQhemY9YdSJMvchR9f4kx64eJK31sN44u3G6lOWmU2corXKz8hKjxadw44jRdIqGL2mySt2X7C9+hQ/db2JTTE7qasdpe8uJVdvoxvGXSVNkSayw6oSs1pNopuMt0J27jyj2iQjI08e9uQKGsMlZIyz459lT/CJ71DFyoo8P6r+JnRqh19qDK1xaok3Vm6EvfxSPAFXoXBbnuS/7JTKUqco5nFDycE8miY7EeVSh0+xM0fZWWWqdxZZZ0jqsNS9g6kW6c4fIW1sYTB/ieuc1hFBJyQwd6WOKDLfcd3H8ZRTFYk5c4Ylyz2YH9kq9TUFm+Xz+k7SCZYLYoaRvZab6Kj1RP73RMK1ohVvh+0gpueuf58d6BohlgB+s0QlWuRzcRUVjV/HzdCLBpwvb0VULReg8kvkKERJFqISRS80XLMp1xjMRab2LXHqCLXIP74evkzJ6SWl5IhnSEjU6wsEyhxizP4GuWHT8dYJYbAJNdMXmavUPGWQXzc4UqmJQFcuUs/uYbX2AafTxSfMJ7kYXGTBtctoAofTwwwZxHPJn1V+lnBK0QoVlT6UuKkzKA2iYfFj7d/SzHVe0SCl5/tHIKB4Bkph1ZZ0o9hIEbdRGQSGtKcyxzMOZv0ssA3bI/VwXUwwae4ljjyu1iA/jd3nAeD5xIUkPP46xUyO03EXKmd2seYnPS1VMtsajrLevM5w7yqWGxXLY4nbnPeY78ERhiOHCo2y3HqUjmmRTgwnggG6CYJXR3MMM2tBypsmqfaStUQrpndQ7N/loXaFojXG3fQoFlUXX4XDuZzH0Lm5WXmK5cRIFqEc+AGf97xLHHr3mLrqUMUqyn24xRkoT1FlFERp+sEavndxDMmYfjgyxVbD0Ijk9oV7NeadJmz28vRyzqMwQRC4T5qOkZZ4He5K40FJwmZRRZr59kqmGgx+sMVN9FVUxGFH2JkPk9nYC4W3O8GiqRT26m+DHlSLluJu92pMM6QcopEZZ7oSklS72F79CRziUTYVGtJQg+61RVDXNdO375NVBfn3hDzlS+DnKZNlV/DxOVEMIk5H8Q9wWF5iPqrTDVaSMk/iUCDZdXT/06GwvfIbx4meIZcBI8UnuBueYTH8GL1inSoPzwSxbzNzmbEoYe7T8mNcbv0nbX6FsbCOOHcaKn2aP+hifLfwCVTnHNuthHtD38v0FlTnvNFlNx4/afKJHoWiMMRxPUCTL7eorDBh7KRlwuxnhBTUqygrrciY5iQoXuFTXsSkSRW2yqQHma29iGb28tr7MREGnnBJYmMxVX+dc9T9uKg7uug49aoY/WpnH0lRWo5vEsYOdGqFgjOAFdVbrH5FRDMophe7cIc7IUyiKScbo5XXnDLvzkryaNIaKxhiaapHVND6Ikjm5LdkHabuztP1lDmlPowpoKXUsc4iFdsDNyktcFyc53VxlsRNzMNtNxuxPrg04nKq0E9qd1BFCodK8iCJ05jtugqUWyZ6n3pkhRZpV9xq2KDJcfJxWvEpESCcOSGvddKlbkUAQtShmdjNXTVIGd5wPyVmjmxHaj9dfXvl8ntdee40XX3yRiYkJjhw5wm/8xm9w+vRpZmcTqm29Xud3f/d3+bVf+zWeeOIJ9u/fz+/93u9x8eJFfvCDH/x/fex2u81P//RPk8lk6O/v59d+7df+P/6cbdv09fXR39/PkSNH+IVf+AXOnDnzX/U6/rsoblqtFl/84hf57d/+bYrF4ubfSyn5l//yX/LP/tk/43Of+xx79uzha1/7Gp1Ohz/4gz8A4Pjx48zMzPAf/+N/ZHJyksnJSb761a9y8uRJ3ngjGXYMw5B/+A//Ib/6q7/Kz/3cz7Fjxw4mJiZ44YUX/krPN5FM5TePVePYoaANM119BU2x/pKALJQuftjC85fYWXyRtjvPUPo+/CDBOa42TpHSCqhqjlgGrDgxFWWF3fIw0977GMIirXXTcWe504roVSe4Er/Lq9WENjYfJQ6PIGzz/2Lvv8PsOs/zbvT3rrLX7m16Lxhg0DvRCZJiEylKFCWKYiTRsiMrtmU7ju3IsSOfE5/kfHYSK5FjO4ocR2ZslUgULZoixQaBBFgAEL0DgxlML3v2zOzeVn3PHwvCF1n2F1u+7M/5jp/rWv8MNmavWbus93mf+/7dQaPz1qLIYbl01jcR2zlmqx4T1Rql+iRRpYXmkMYGZRUSSWdgC7awmC0cZTj9OK9Wv4LrlmjRh4mqrb4pW73XD/Ry5rCdCh6Si5UcZSUPKLw0B8veOC/NuQRElJI5R0CNcCEnCQd7SHjNPg0o2Hsre8Kk5MyzUj7P6vRjlGujPBD7J7ieybHKHxEL9rJYPgNAV2IfSTqR0uMz7U+xYkocaeJiU6mPM6jcQdXMYtlZKmaGBeUmGWWSqiO44t1k3ir7O/ehfsJGG3cl/ilT3jnWRx4i786Qq40yLDexWj9Ac0jjtHeW6fwhRry3GIiE2S72MFc7QyTYQURrJd+YICHauTPx8+xq0VgqneaoeZoVZYmz+QDZOlwTJ3GlSUQXeHg+uUr4QYbZuk2xPkm2+C6zhSPUHbiW/ya2UyXjXGHQ20Bvyt9xnckfpuLZLNQ88kqWQW8VDWueyeJhjldn8YC4jNAS1Jkrvct7Er9I3Oj2s1oasyyWz1N0ZmgOKrxae45l8rwn9HE/iK52jNPyFKvYwQdim+mP38XrjefJ1C8xVTiMfmvC0xbbwby4SVNgiGbZRcmWzNfOsjPwAYJakkJtlCIVYuHVrE7oCAHtwY00XH8H+kzhy1SdLJHQAK7nGzyX1QxPrxwBYDL/Khc5TsnymKv5C7aaIxltHOWu0Mfok93MFo4ykHoY28ndTkIPBlqYs8/TI9vJOxaR0ABBNUVzbCuOV6M9vJmx3PM4+AnlI7lnCWtNbNUe5EblEBXHl6J9tOVfkg4OEiHFvLjJipj1JRROgbeKv+dr2GmlJAo0RIVs9TIBVbBi+mZxC4f50ik2pZ4iHuomHV7N1fqrjBV9oEG5NurL8SrXmCq9iedZBJU4RTLcFBcpOjN0hLbgulU8r07VWeI3x3+LiEwyLbPcVK4TVDRMV6KrEWJaG4sN33d2U1y4tRCtEtXbucxxStUR5mr+pM4ItGM6ZaqiQA9tFOQ81wqSU7kyitAZTD2MhsCWLkVnjq7ITpoMyZnClzmTUyibC7Qaa/HwWClfoGH50/Ck0UvCayZNDF2LsOyO0yqGMK0MJ5ehWfGBIjGlFYnEkD6kQVUCLFujt74zLZpDa3i+8gz56ogPHSHFcuksjlOgbs6yJvUhvpQ9xPFllbcyNgvWJVwkhvSRS2eLT1P38owXXuP0isKEuMg25R6y3hid4W0EA03sTH6aGfcCK6ZDH+2EFZ185QqvF79Aj9sPcIsmJeliPefkW2hKiIJS5KXif6LWmL6d4XMx79LrDRHW0syLJXQtSpgUEdXf3IgFuxiIQt70pWWzzgWW7BGyxXcJeiH6RTuhYA8r9hglG3YmP81s+QRBLUlI87H2NUci8P0u7V4bMTVAQVkmFvQn3gPJ93LVmUNDkCkex3IqKEqITreHscrr7Il1ossANcej6MwSDvi+xrrjsS6cRruVhXaxUCWitTBedjAC7awLvAfTKRNQFNbfakZrosyEe4oVEyKk6NA3EdQShANN1KVDNDQA+PCIRW4SN7r8iZ09RlBLIqXHSvki69nDgOyj4Mwwp0yQUedZcK8gcSm6vn/qXP5pWkWCs4Uy2eK76Foaz3NuT+Q9XPoCu1gU05xwXqYg58lVLvt5O9IkU3qXzeEWitUbeNJGSo954SOuq94KKa2POC0smJeYLB2lM3mQudK7DGp7yItFtsU/xsWqHwQ9Yi0SVppoC29AUXRmzSq74p9kIHwAU1YI6K1UvCVKSomq61MhC8wzZq3QFBQ4bp2yY+O4dX7+2u9S9VZ8XL+i0pO61z93CxatGraTY9kdZ5dygBZ1iLqVJxGQzFrnfCKoW6U5tp2AFmFNoJnxksPruSxXOUFP6l4k8rbXK0eBeEBlQGljzPY/qz4AxyFKM5oapD25j5PeUcZKJkKo3KHcQTKyhpqTY6++ledm65iyzKx9FlvWSAZ6WbTqrOYO4lono7nnMPQWAmqEkqiStyxGcs/SFBrihPcWqhrB9upURZUrjSzXShVy1RFMK4NAoScUomFlCMsYbcGNREN+RMAp73Wue9P0J9/Lcvm8T0uVvqxMlRq5xk0sp8RswadI5s1J6hR9Op2eJl/x1TyK4uc3NZwitrPyI63v/s5Kyh/9AEql0g8cpmn+yKdSLBYRQpC8pQ46c+YMtm3zwAMP3H5MZ2cnGzdu5NixY3/p7/nsZz/LG2+8wXPPPcdrr73GkSNHOHPmzP/lc+dyOb71rW+xe/fuv9Y5/2/R3Pzsz/4s73vf+7jvvvt+4OcTExNkMpkfuMCGYXDXXXfdvsCmaSKEwDCM248JBoMoisLbb/vkqbNnzzI3N4eiKGzbto2Ojg4eeuihH5K3/fkyTfOH3kAAheo4nmeTNycJB1oIGp3MVc+QjK7FdqsUqjdQ/qdAzYHYQQZSDzNZO0Y6uo7pynFWpx+jamUB30y6Mf4YdwQ+yMaUPyYOCJXhwN3ERCvT+UNsSX2S3S0q7V4ba5R91ESZbamfYEVZpDW4nqHwPahKgIqbJaj505OCOc0D0U8T1wXzyjzb4h8jLTv4dvk1WkP+Tm5BzmNR58Ppz1L2/KlGR3I/abeVXm+IofSj7G1K8Gh8BxG1iQPRH6cs8ly2D5F3Z+hL3ktAEWxkL490q6RlB4YWIxboxJM+fGFjsB3HbdAV3sFK+SIAfdpOdiV/Cl36oZgOkqjRwZ3RT2O5VeKhfrJmg4I5TZEMdXOWpgDoChSdmduZPjklwyeafpz+1IPoWgQXh8+072DFlPTLXqLCoE2L0hbcSKU2joWP+K2IAnG1HcetcsZ7nSv1lwmrsFPxSTPvDb0fVfFfi87wNtbqdzNbeAMhfE/BO+X/SlST3J34Z7wneAePptYQVCXXSlXuEAcA/1zrokRrYjfvi+yjN7afsmvTGtnIruRP3frd8N7kL5MM9dGwiyRUg7I9z2D4IIoSYm0sTFdEYZuylnfMbxMMdLI9/gl2hbsYEZcYU67QcCTBQJpJZRSJS8jopjW2lXRkDTVrBVdK9umPMKC20pAO8cgwe4MfYQs7uGS9wmzVodPt4UPxDzNs3ENLfAdT3jl6UveyhV1ESGHKCs3EaQ9BX2QfFVHFvQWsiBEhrKXpCUv6ohqGDBPSVOLBHloTuylUxxg27sH1LCw7yy59mA/H7vJpTKkneTz2HrY2qTQbAVZ7m9mSVrCcClmxwrgyyYbkR7Fljf7Ug4T1Fh4KP869wY+S0gc40BYkrRs0B1fTcPME1QS22yAtO0hFNzBafo3ny28xkHqYojXLsrJEW3QTr5b/AE0Jc9a9Rp/cSENU2Ci3Muitxwi0U6heY0vqk/Ro2zkYGcQVfv5RX+xOFOBCschN7zQDRpKAFqdKHsetky2fpSuyg6Jr0ZrYjaYlSahdqErAx8NHt7FObsGVNncoe1ij7mfRvEo42Es8Msx69R7+Sdev0i5bWKN18Fh8Bxfwbw6q0H0Tup4mHdtEQrSzU92Eh0ebHGS5eg1VjTBbNZmrnUERGm3hDczXzuFJiSp0NqcFB1viRLQWPOnSGwlymWME1QQld57w91HOmj9ZCMootrDZH/9phhOPslw+i+lVsIXFglgmojezVDrNtcrLDKQeZm8LBGWYVHQDlqzRk7qXs40/w7KXsZwSB3Rf+mA7vlR10NjHYOIBWkICS9Rpie9EIFiXeoKol+Anm+/npeoJQprCBu1e3jafZco7x5bUJ4mGVt3CdtcZiMGPpe/iUOE/sEe5m4qbJRHwwxuXS2fZ3aIzIm4yxQIBvZmf7Px1LnhvkJBpHGmiKYL3pNrZJu6kYmZwcfjZrl8hGVmHKvTb06irHKdXbCbpJXDcGrYwmakp3JAn0IRB3oL/Nv//ZaU+humU6NN2siP5KcpKkaJrUjfnadPW0WTAiHWEpsgwu9X7WSgeY6/2AJP1ChKXqNFOSVTJuCX2h9aQq1zGkzZFZ5Y+2nnL/DbD6cdpi26iPX4HQRFgX/hj/GnpeyTw87Q2KXf7UunAGsq2y2v1twmKBLPqBCtKnoZXIqAI4sFumojRFlxPUBPENA1V9U3wG5WDtARhRU76YJDaGEPqPiQeawIHb8tvOxm+Ld3NV6+hizDtib3IW1I5F0mHuoH3RrYRljE8aeN4Jv1hn5i4K/lTaIpgazJGe2IvjlsidUtubTs5iu48fXSwTm5go/oecvUxAnozrluhaM1h6C1cqeYIGh3kK1eo23l6vGGCRifZ4rs0ZIkyK5SqI8RDvbSJVUhp0yWaSck2prxzJMMDrJHbWG+0c9DYineLANgX8sOyl9wxFopvo6lBGk6BJTnBFXGBzuRB5kuniMowAcUPlaxLh6Ce4KmWf0qxPkVGncVQFJJ0ElNa0RXBhngMXUtTqI3THtLJ2FdoD2/Gk7BWv5uQSNFqrGWlfIGquURrSGFrk0peyeJIE9ur0RTbin3LOF9UlllqWHSFdbpEMyvl84TVJkJ6irCM+o066wmIEF3hAKrQKDgm+fJlFBRcCWtiYVwctqj3owgdR5oURYmoCFJxs4SMbqJGO62BdZws/AFxPcBg6hGSootheQf3RH+KfHWMjVoPi8KHzvTGDvi5W26ezrDCfYlfYED186wado6h9KNsFXezKzjAXOU0TdFNrE4/RrNuUKmPMyz66QhtwXTKSOlxUR7F0GI0yW6ajQCKotOfepCB1MO0xbfTmthNw5wnHdv6f7m++7+7pPejHwA9PT0kEonbx2/91m/9SOfRaDT41V/9VT72sY8Rj/uf+0wmQyAQ+IFhA0BbWxuZTOYv/D2VSoUvf/nLfP7zn+f+++9n06ZN/PEf//FfKGP74he/SDQaJRKJ0NTUxMjICH/0R3/01zrvv/fNzTe+8Q3Onj37F74w37+IbW1tP/Dz//kC79mzh0gkwr/4F/+CWq1GtVrls5/9LJ7nsbDgm+DHx/0P2W/8xm/w67/+67z44oukUinuuusucrncX3puv/Vbv/UDb56enh4ADD1NKujvWjWcwi1p2qwfWlif9NOFPX8XWlEMTFlmIv8S4UAzAoXWyAZGc8/RGd7uTzTUJlJeiqscp+5A0mvmQ70BBrVmDobXsC71BCWWeHvRxsRmOJRmgxiiV7TS5fYxVzlNxr1GtT7pI4OtJWyvjuuZWLcwyP+oZTWtpIjLKFvEATrCYNwyjcZkinfcN3lf+CAHE+2UzQVsYVMRVeaqZ8jWJS+Xr1Fy5vGQbFBW8U9an2SHuJMebw3dERUhBDfKir/7Vb7MXPEYLSHB1siHOWtOY+gJTFnxk8n1VlplE83Eb1GIFkmoAUqNGdbHYnjSYbN6L6pQEEJhjed7WO5I1wgosEd9L1VnyV+smjfoiwqK9ixbtAfINyaoOoJmQ7CjKcy9HSGeW/l3jOdfRNeb2J1sYn/i53CkyUFjE/FQP+XGPD2R3fRFYX1KZ33qSU46VzhdydAVDjBTeZdx7xRGoB3H9aU4u+I/ge3BO9U/YaRWAGB/c53dzVE0RTCs3MnXC6/R5fbRcAoEVWj2OvhHfUE2sJNWkfCRwyGPU97rt02RObdGVG9ntPwaq5PvYzghydQld7ervDf8UVKhQTpFmraQQogEzbKXkCboDe7CwCfcdIS3EhQJCrVxeiK7CWuChK5jeR77mmOkA/1ElQB3thnsDHyAwbjGJe8NBmOCNtJ0Keu5J3A/ADNigS6vmyhN6IrCgeYKj6fWMy0vUqheY3X6MVZHwyTULiKapGJLmr0WIppCtvgu28SdbIt/DFM0fGNz6kHesk6zISkZ5g50DFQFDMXXgNs4SGB3+KOURY5lewyBQsVeZK58CtMtMRjXmCHL3cGthFVoDao+cUjb7i/mjNWcKXwZx7P4sZafY7vYTZPs8gNF9X6iNPH/WfULRJQmEl4zrnA4ENjEK6XfxcRGCIXu5N1+JhDz5E2XLreHofSjNGSJ7gi8pzWBoUQZiPkNxHj+RZqNNbTHdzNdPs7e5gjZ4rt8JPUZRnLPckf4Sb/Rs6YpUsHyKsx5eWa5Tl9gFz3hXUjpESLAUMwPR5y3yhwrLrFRbmOhZtNwCgymHsH1TBShk/dm8CSUqiO4wmFD7FHioX6ucJmo0UHdnGW6+CZPNf0YhqJSc1bYmarQYngoKFS8Jcq2R0Rpomz5EJKY5rE/8XMMRCS9qftp9Vr9/B4lxFj5e+hammZlgBaviYoo3CbYOW6RojNDVPO4UPlTCpWrLNYvs1fdxePJT6JpSXpj+1kkR0hNEjQ66Uju565YL0V3nu8WRrmZ/y6mWyYRWUtZZvlwWydDUZdf7tzD9iaVd4q/T60xzQHtPqqiQLOxmvckfpGh9KOEVMnamMeDyX9+m3Q2WzjC+cIfsyv5U5xfcdkTGKZMlg3R9/tBifoAdVFnqXSGnc0q6QCsioZwvQZrlB6WGy7pwCp2qBswrUW2Nankq6OkiHHBOURXdBd1L8/OtMl25W4OaPtpNuA/bfh/kQz1oashluQE54p/QlhGaYgGXYkDTNaO0XCh2Vh9S7J6mK7EARqew/7mOD1s5L3BhxgKNPHhzia2pODJ5l/B8Sx2q/dzb2cA0y6gSIV+bz2FxiTv2t8lLHQ+HL+PtG7QEVbJKhlKjVlMWWFns86Q3IotawRkCFVq9CnbkBIKtXHq0veK/NHiH/Ba4yX64gdZ8aZo0yOoApKii+n8IaT0qIsaA6E4OjqqYhBVWlkWc7TE/UauM74XDQNF+DS914tfYFpM0+I103AlHbKZYeVOHK/O1WqBYKCTPfFWNCGIaoKn0vfRFr8DTRgEDZ9OtlQ6xbqkwYZUkLeKv8fW0AcIB5p85Lu06Y3sIUKQRLCH+xK/RGtkAyEC6GqE1sRu9mm7Gc+/eBt73SGbaY5tpujVyYtFSvVZwkoSQ6gkAwrPV56jU65iVWAf840GVWeJUn0WKT1sp8Ja/W62iz1sE9tZKB5jTfy96EJhuuLSk7qX4WgUReisTQj6owdQUKk4DnEvwYJ5if/j5r+mJSiwnRwho4WaI8lXruBgUrAEFVHEkhXGcs/TGt9JR2QLA1HJdBUeim7kp1oeoUUZ8oNV6+OoapwBz4ccNAUFdenQkTjAYvUSpfokdVG7nbG3Vm4npAmq9jLtRoh0bAuKorE+qVK1JXU3T0hoZCoXKDQmWeQmc2KBipmhJbwO0y2zZI/wcPKzxHSFhizhYnNPawwHj/XxR7E9yb3GXhKqQcmdp1Qbo0316ZPNusG+Nj/s+o7Ixyg4M/SGw5xpzGDbS6xSdtLnDvC28y47kp/iznadrHmdlvA6elN+06UInZKSo2g5lKojTBUOM1M+RqZ4nGLdN6Z/f0Pi7239DT03MzMzFIvF28ev/dqv/dBTfO1rXyMajd4+3nrrrR/4d9u2efLJJ/E8jy9+8Yv/y1OWUiJu+bT+fN28eRPLsti7d+/tn6XTaYaHh3/osR//+Mc5f/48Fy5c4O2332ZoaIgHHnjgtt3kr1J/r5ubmZkZfuEXfoGvfvWrBIPBv/Rxf/5i/s8XuKWlhW9961u88MILRKNREokExWKR7du3o6q+AfT73pvPfe5zfPjDH2bHjh08/fTTCCH41re+9Zc+76/92q/9wJtnZsbX7aZDg75kqD5BWEuTNHoZSj+K7dUJGx30pO4lGh6iKbYVpMdk/lU6kvvpV3dQtbIERZzWxG4WauepNab9mwYe69lLXJcUlGVWLIVT7gUimmC8+iZTxTf41CqPq95bzDXqbG/SmfWWsXHYHHkUV5p0J++m4eapmQsUauNYTom8KPJKaZSGK8iSpz8cIaro/NuZr9DkpWgSfYSkQR+biOmCuZpLpT5Oj9LEmcKXGQgfIKIJOtxuLKdKsxph2alTsSVTYpYp5TrLDY9Dhf9AXPeJcJqWImx0MFvxG6tHUgOsCRxE4qEqEWLBTrJihUkxQ91c9HM6VMGDkacIqL4u/Gjxd3mr8Qy6EuK8POKPrnNhRos2A7Egg9oe+gK70NQQ7UGPmrXCgjrNeuN+vrpygf6Iy8Wcyalll38+8Ou0J/bSFF5DxZaYwqRN9qIKsL06tlMk5bUSVj0u5Sw/OM7r4HzlW3gSNobfx3LpLH2RfT4yG499iRZGy4KAHienZGkPSW6Ug4wWbV6q/AkaKoYSJaGEKFVH+Ebhe1y3j1KwFV4tfJ7uiMFw9CFm6goxtZ1Ptn+OQm0UB5f50ilsJ0fJW+CbM0WCKszVFY7ah5gvvMk5TtMa9FjNAAoKX174d6joqOgkI+uYLB6mYE/RFbuD7eo6bA/mrQpRXeVPc9fRRBDn1hd/SGh4Enq07eRM/MmOFyPvWLTJQa4Wv01SM1DRebRHY8k0uJw3kdJlU+opCs4Mb1bHsWSNsqNQsv1MldFakWRkHVc4jYpGTs74JmJznPdFd1GwBCoql0vPMV6yeHvR4R3rMqcaf4oAsuoCe/WNrFb3MOecJ6glaYtuvh26qEiFvOkwWoaLpSKr049xtfwCM4XDNKRP9EkZ/dQdj7aQToo4qegGrlkZIjLB2RWbspuhU6SZ5io1x2Vn/MfZkUiRDPYxWzjCnDpDhBSaIrjMMZZNP6C2bAsGIy5Noo9XVxaI0UosvJqF+gVKpk8kjGiSpthWZq0yQiiMyGNki+9iO1WGAk3E1HZsYTFXOMrN+lFGC98lFuigImpUHMGyyJFVF5jlOlNilowsENXbmCweJqF1I6XHdnGAm16GeGSYK5XvUmIJIRQ6vUG6lPV+IxLbzMVKjpCm0KwP8eWbYS4XYLkxynL5Im/bp9jARlTFYKl0moKtMKOMcLMiaKIbVShcqb/MZS4A0BrZiEGIpGawkWHWJz6EEWgnFVnHgLqLqyWN9tg22hJ72GI8wmn3EnMNnx5WcbPURZWYaGUgfICFwjtUbEm2+C5xmURKh6bAKqrmIpowuFbwmK0rvDhXY6wMkVA/j6V/hZrn0OJ2oQqdY41vMpZ7nrWxBhcLCkUquLiEA810Jg/Sk7yXBTFG1XE5Y06yXdnGufzTnGpM4UiTqigQDnbjSnAkTFdNLHuZnNMgZagUnCmuOjOEgz1kG/Bg7CdJaDp9gV1UvRWWateZqemk9QA3nSzjZTi74rFQeIeUPkA7q/GkTViGOFH4ErOFI6RCg7ydrdPrDaEoGrnKFVbqY/40xZWcLv4R8YBCk6Hy7MISk1XBDXuRoJagLBuUbNgcfQwVHVNYqIqBh4ehqDxffotkQOFyocqSO0ZPdDeL1Uu8tVhnTp2iYE5TYYUzxadZ5CbXrSyJcD8XvcNM1N7modhPsErdzWTxMKXGDEIIXsv4Cw5VjdMXP0hdlNicFtjYFGoTSDwy9YsslU5zsfIcHh5L5gh1ZwXLzrMx9XHmrAucc19jod5gTmQ51/gzXOmwJZaiOTxMzZGsTerkTMkrhUmCSpyyPU/DnGdP5ON8MPUrZGoeNcfPWPKQxPRO2hN7sZ0Ko4UXaAoEsdwq57zXSdySIA4ZB+gXW3nHPsZA6mEUFGyvTuNWU3RV+gqQaLCN+co5UoEADVdSbsxxovAl8sxTpkpaH/DDZuPbiYd6WRZzXBcjTMssG5P/iOnGSRwke1sEucZNXqodp0UdojXoMZJ7lma3naviIgqCgBrhzsTP88pSlpb4TlbrBzhnTTKYeoSgiLPc+H5WlE5Ab6Xm5JivnOHksiSuC4IqVJ3vyzM9BlIPoypBFAQzIoNActp5hTaxirvDn2BH7BNIPHaIO1kW0wghiGgC0y5y3D5P1cqS1Pr49vI00/UqFTPDdXEV16vSH9rnf+69VtaE72U6f4iauciAuotzHKMtpDAgNyNQcKXgOu+iodEc0ojpgqCqYLlVjEAbl/Nfoz/iYnuSki3YkfwUURGiZi1TsV0eTvXRktiFh+S49W0+GN3HmcKXuVqQlKoj1NwV5sunSKidBJU4nW4PqxO+lywc7EYRGlJ6OG6ZdGwT9i1k+d/b+hs2N/F4/AeO/1m99P36wAc+wPnz528fO3fuvP1vtm3zxBNPMDExwaFDh25PbQDa29uxLIt8/gehDNls9oeGDd+vv07+TiKRYGhoiKGhIfbv38+Xv/xlRkdH+eY3v/lX/h1/r5ubM2fOkM1m2bFjB5qmoWkaR48e5Xd/93fRNO32RfzzY7A/f4EfeOABbt68STabZXl5ma985SvMzc0xMOBPVzo6OgBYv3797f9jGAaDg4O3DVR/URmG8UNvIIDFykVUNYKqRkkrfSRFF1Olt/ypTHA9plehyRgkoEYYTj7GruRPsVS5wk37GG2hjTS7HeSro3SEt9IS30lv6n6ySoa0FuRyQTBW/h5TFRjwhlmouXRFdtIW385oxSBfHWFBZMhbMCev0qpGKSrLdGqbCSoJ+rSdBAMt7I08hSICrNJauS+2mmsFiz61he9UXyKqq3wk8QluKte5Vn6BqqijS51M3aVkW2xKPcVg3IcUXM1/g2ulKgnV/+DY0uPt6n/nrdoYYRmjXQ5StFy2pD7JcgOGYw8xHHsIQ4uzYNUAcKRkRl72cwzsLLZXZ1e4iyavha7EPnpT9/Na4xVszyNvehRr/gTqx5o/yUr5PA27QEhroiPkknUr/OeZf0NRWWak8jKl+izLpoJl+xK/uqjx0dQWlk2FJa9MXFeYKDlkiscJijiaIlgTaEFIBUVAS3CY4cT7sYVFpqFwmRG61E3sirf4ifWqYElME9BbmaufpT2xl6jRzqlCgamKxTrjftq8Ts6tSG6UBWsSOs2hNSyo0/R765khS9DoZJdykDX6QcKq5KMt/5Ivzf4bLuW/giuFv5BrLDOQuI+4CJOKDNGbup98fYLOQIxrxTr/Jfscu9X3kIpuoGJnsDxBzbMxRYOdiX/MnH0enQCxQCdbEk9Ss1ZYboyyZNV9Eo0WJqIpbFBWsdi4SljV+Pz8y6xQZrkhCXsR0gaoQmFUnGdUXKagZNkV/yQTbhYPl9+YPokuJBFNxZUmy9In2V0pfJMoTcz6LzdvV/471+Q7lGpjrJXbGQo0UXdWUBWDDYF7GYhCUIU3q0+zLfZRrorrJA0VU1ZIhQaYqMDB4FrOWDcZ806S0Hp8LKtoZSj9KGdyNc6Vvs4FeZlcw6VFi6BJna7YHShKiJBI0aVvZTp/iBv2Iot1m8FIiEFtD+eKf8J96XbiukZK62OUCVShc9I9iy0s/mTlWTLF43Qn76bozpGQaaQEBcU3AoseVkVd/v3UDPfEfRrWnHOeDYF7/eakPo4jG8zVoNyY5Yp3hFh4NWG1iZb4TurmLN+pPstE/iUaVIlFfKJXIjyII008JF9efod22URAhhiSW2nyWqiIInW3gKZGGM+/yGp1DxNiin3RbuJ6B8FAirw1gSJ0VoeSnMs/TXdsD01KH3ER5pq9QKvbwaaUQk9E4NzyP5VtH/+Z0LrZm/gM14qCqrPE94p+TpIrPRShoYswTZFhX6bCEiPeLELg+56iu7HcKvNcB6DhFkmoXWyIpOnyBhhVLtIXv5OqvUyDCtfyzxAkQkBvxfYkw+nHWW00+Yn3tfNIPOYrZ3A8yVDUoS0QJK5Dd2gnYVXFlA4pESEk4zTM+VshgTq2B8PBJi67r9OmrfU/7xgERZwpMnTIdka9OWLh1TiYhIjjSpuW4DA3ipKELtmaDtKR3E9KDdJwJbnyJSYa71C3lsnWPZK6j/Bd8K5TqE3QGtlAUvf8aW2gjZAGu5sFncmDpGUHy8K/v1z0DjOYegSBQEHhwc4QYRFgk3IP2+KfYH3oQVplE3nT91Bk6w4RHbrVFGMlizR+6n1eyVF1IChDNHstPuI60Eoy0EvWrdDOal6ovsnGZIR7AvczUfweLeG1tAYNutw+eoI7qbkrSOlgehXKii+nzJUvcV/4E+hC4VL9uwih0BPZzbRVYFM8RpfXjeuWmCkfo9nroOFCSiZIhgfI21M0hVb7r2PsARbLZ0gavTQFhkhG/GlCOtDP+8IfZHU8xNXyC/RF9mE5ZWxPUrbm+W7tDfKmZLnhEJJhsnU/t6c5vp0FdZrvlv8bEV3B8SQL3nVOFf4rEo9CY4rO6A6GE49y3vX9Ngmtmzn7PBc5T1nkaBdJqs4SARFGE0EqZgZdqMTUdqJqKxOFl3A8izvCT/By7XkW6habYo8BkLMmqYs68/VzpCLDKEKn4RSQeDR7HTTLNBn3GgKFNbEwK5agNbgeRzYQKCyZCsNp39u73PD9ZhUzQ38wzmqjCcerc6bwZXpkB62ym2XrBvtbJFn3Bgr+fa1h5YkYbexoUlhqeFzK1xkp1qmKIs2R9UzkX0JVAsyJhVvNm+CRyAdpUGVEXKIs8lTJM65M0uWtJkeBiCbZFH4/e/WtNMx5ZisnuSfeS1jRaQmvu+VVVMnLGdpYRUwN0BBVAnorq+L3sSSm2aPcydmVGte9t2lQQVckmeJxFrzrXCivcKVU4c42hWpjloOhJ9mb+AypgMtAXEMTkjl5laxYxnEbdEY0JssObcoautUUrcH1vFmZZnX6MTalBLqWRkqP1uhmmt0O4qIdB4/WW3vivcFdrIu+j5b4TtpiOyjX59DVv3zD/O9D/U1laX+VisVit5uIoaEhQiFfrfP9xmZ0dJTvfe97NDU1/cD/27FjB7quc+jQods/W1hY4PLly+zbt+8vfK6hoSF0XefEiRO3f5bP57lx48b/8jy/P4io1//q2UR/r5ube++9l0uXLv1QZ/n9kdXg4CDt7e0/cIEty+Lo0aN/4QVubm4mmUzy+uuvk81mb6PtduzYgWEYjIyM3H6sbdtMTk7S19f31z7vtuhmpOcb2cYqr2OKGpoaZql0mvH8iyyXzyNQKZlzXMs/ww37TaS0URWDspvhePGLaGrYl7KovqHOR/CCEBALdWF7krCikzBUf+KBTlz36Erso8IyMV2QUnoYjOtUvRWuFp6h4RU5l3+azvA2JpWrWHaWEXeec8UCrSGdaXeFTzc/QkxX+Hb5Wyw1ruM4BeYZoUOPsmJZrE+GKJPlYqGGaRfZm/gMI8oFWoJ+WNkkc7RHtwIw5Z0jI8YxVIU59xL7W2xMUaMg58iVL9BtRBhzj6EKCIgQC8VjNMe347h1vlt9m8FQnNnCUbK1K2jCoMkIULU9OmI7iIeHOFodoSO5H9ezyBSPE1Y9ZpQRHkv/KkmvlQei/xjwsOWt/B2ZZMo6yX9deomji3V2J5vINmxOe2cRwh+Dv1G7RsP1Q01HKhWmi29yo/QKo42jLNRgI8PkmOVYKcNE/iXGy3UkHl3RnaSCAzjSREoPA51VsQAtJDhS/B3WJATdYTBUSVJ0YckaCv50sTW8gTm5TE7JEFQk7zpneKrtczTFtnIom6PiZamIIjfz32WFIlG1hen8IXoiu7E9j/agwbBy521s573GB/jn1/89ad2gSAZDBujQN/kLWm8YDw/LziLxuCZO8tG+FbojOkFVUHZt1gQOcsI9TrM6yAyXKVkuF8wXeStb54J8m0zxOD/XvssP2kOyLtDOtfw3eSi8m2VL4w3rKO3aBhaLJ1HVOF2JAwRkgImSw6HGW7huiX3q/eh6E+e818mYdRq2n9F0ovAlLuQ8TA8/WE/JkzWv0xz0l30LhXc4W1qhZHuMll/D9UyWGrdyEqgQkUmiik5nfDd1mcf0PO7rVDGpsWKOEwy0UHLnuZz/GtHQIJawyHs1SpaPr16ffILv5EfpjSqU3Qzb9CFWe5vZyBZSXpJ12j0AONKkS6zHQzJhFlnNTq7mv4GKhuUJ/nlfDwqwSm8hofWQFbMsVS6yLfUT2F6dlqDvK4lrndTMRfZqd/h0tcg6EoFuAnorEZnggP4BpPQoVK6SUDtZpTfxvoj/3VYlT7cRISqMWxhbSIT6WZ1+DFOYaBgs1R2y1ctYTplSfZzl0lmOmKdoT+xlIv8SY+Xv0REMYlJnQZ1mugpfXxpla+gDhIw2DDVOQFEIEuWC+SKDMQioET7U3MvO5KdJa0FWhe4i5bWSr/vNU6vsZqz2BmFVpVi9wWpvNf3GHvrYRGvQ9/aM5J7FdCWzyk3a5CDT5eOUa6MMy7U0x7dzZ6ybYCDFiLnMXP0s442i79GJ7KYlusGfntgWmYaGENBwIWtd44I9TVbJ4CK5Vn6BzuTB2xlc3RF8CZG5SElm/PDI6mkWzau0yxbajSCDopM9gQ9gC5OoTDBfPYsjTXRFkLMEEt8nGVAVVkz71g5wjZboBnRF8Gfl/8Fz5RfJFt8lHV6F6VX45pRDU1Ch7njEdEHNFWRKp3CFg4JOe2Ivbdo69ge2sDH1CeZL71J1IKRqVEWdnFhg0j3DuHKTpqDAUOMsOVUaLuxr0+iNBFgbCxMiweX815iteGyNp1hU5kkbGhUry2zhCKtDSRQUtrCLkWId25Nsi32MbtZyuZHhrPMy1/LPEFJTfLTlX5LUeliyR9iqPQjAi/l/j64IhsL34LpVJB5T4jL3t1tMqRMMpx8nGR5kToxSdQRJzWA9exFCISxS1GSekszQFd+HIxuEZJxibZxrpT/DknWeLT7Nd8oniQY7mKoeoztyB71RgeOZNItBjpXnieoqzcTpCe9CETqetP2g5Mgws1WTr+e/SYeylh3Jn6RszaOrEWpegaTXzFpWYahxym6GXdpDDMtNpL12bOmyWb2XRfMKFTdLS3gdp93vkW1cJUScgeTD3GN8kIv2qzwe95saG4v+1IMkA724OLQFNyJxqVlLVOuTvmROBtmcDFOsT7LReICluu8vKrsZ8vUJbGFyIecyknuWKXGZSn2cDj1Kw5zHlZJdzYKo3s7G1Me5Ii5wovAl7jHez3xDIaBEAQgancSCnShC53oJ5moNVsdDmNKlTpGk6PS9V+ENpLw0XbKVxbrH/1j5z7R67Sw3RhkpvsCQXEeP24srHM4Uvsz5FYezpa/iSoiGBkmEesmbHjeZZL50ipn8YVy3xELhHa41DnGVG/R6fUSMFv91tma5IC9TkDXuCTyEIm5lSAV7fak+KhviUc7mQFNjvFn/BgVlmX8y8gpnchUOLRbpFZvJyjHS4VWcKuS5YS9yo3qIBadE3poA/Cy0vCXYHH2MDm0DadFDRSnT5LVgCpNlE5KRdVzLP8OlwtdZKp2m4eZpi24G1L/22u7/H8pxHB5//HFOnz7N1772NVzXJZPJkMlksCzfTpFIJPjUpz7FL//yL3P48GHOnTvHJz7xCTZt2vRD3vjvVzQa5VOf+hSf/exnOXz4MJcvX+bHf/zHUZQfbkNqtdrt57xw4QKf+cxnCAaDP+Cv/1/V3+vmJhaLsXHjxh84vm8w2rhx4+3Mm9/8zd/kueeeu32xwuHwD2Ccn376aU6cOMHNmzf56le/ykc+8hF+8Rd/8bbWLx6P89M//dP8q3/1r3jttdcYGRnhZ37mZwD4yEc+8tc+73xjkmh4kFpjhkSol9nqKdRbAZICwbb4J6h7efqCe2hN7KbFWEtrbCuuZ9KqrvHRjKE+OpMHUdHx8Og0wmxKByhZHgmth5Th78yfrmRI0sZKfYyGK5grvMmKOc7pZX9n6JniMSTubWJKb+p+kl4rSTpZn3oSXQY40JTC8SStJKm7kpeqJzHtIpX6OBtTHych2vl24b9gS5drhQZT+deQUtISXsuSOocholyp5hiMv4cO2U43a8l5U+hKmIqT4auLv0mpPs2pnE7dy+PhkY5toeq4RLV2XOnTTSLBXlzPpNaYRhdhMg0TKR0a5jz5+gTfKjzNtJtDw0BXI2zWhiiZc6wK34VEEtNcZgqHOeG9xbh7gpPeUbZHHidb9wPs8szTsFZYI/awpyXESsMjoqk0yW5CRqc/vpcah+p/ikBlUZknEuymN36AmNFBSINxuUCCdq7UX2Zb6icwpctKfZT56lnK1jzLpbMU65MsKktk6i5jyk2G0o8yVwMJHM82aPKaiJDiZOPbTDmnmc4fIiZjZM3rvDTnESLBy/WXWSmfp0OL4UoHBZWOxD4yjDKZfxWAm/kXMRSFguXQG0hyTp5lUNvDMfcdHk78AjnbpGjPklLCtHsdDKQeZk4ZJc88HYkDeJ5DqxjifC7JmWKeP6scw0My7V2gSfRxMLyGNXIHo948rmexJhZCQeHu+M/x6+NfRkFlnhHO2KP0pO7jheqb/PTVP6BZDDJjnmFL8hMMxx+m7hYoKssMxjXu0g/4+HPPH+OslM9zUR4lFPBxni3xneiKoOqI20GHTYFVTJVdNsgt7En+NNtiTVQdh7ujP4HlVgnpad+0ShuXS88iBKySm+mXW6i6DjHNI0yCfmMPTcHVhNQUycg6AlqEBfcKc8qET5jSkqho6Bi+/LB8noJlc977Hsed11hRciwq07QmduNKmxl5GQXBicqfoKNxZ+LnSXkpdEXy76bG+f35PyBjVZgqHCJBC5FgN0WWiKudlG0QwmC6+CaOU+C8e4Oo0kIqMECSTmwnR7tIcbj2FTyvTjq2haI7z6JVJ1u3Oc9xdqqbeNM+SUDxc4iEUEhofjjwxdIztHktGKqCpoZpmPOsT/g7xO1ygIZTIBXdwHDsIeIBQZklNrEOgNWij3F5jpagH9b3fOGLLDrXCQeauZDzuEMcoGRDCwlerv0PNDROFf4rtr3CfOFNKqJM3fRx7L3J95ARK4RkGFOYTFW4HXCYNU2yjavMystYdpbWxG42pULkKldYrLtoSoBr1utU6uMsKJPU3BVMWfF9Y8n9vFr4PBUHqo7L0fI03fp29oT62KQNcqj0e3TG7qBFDLDeuJ+JqsZcDSaVcbZGPkzRmqM3dT9Rww9S7QoFUQRMygyX5DHWymF0qdMfPUBK9PD9zVBdASPQzpJV5zu5f0+btg4pfTz8vhaJaRdI6X1sSX2SbPk8jldjX6vBYs3lEtc4t2JyJGPSGttKRRSw5C1/lXWBuUaNTtlGf+JeUgFJwTG5XP8uE/mXiGgtrPaGuJivM194k6Qa4kqxxqvzdeZqNkcqk4RljMfSv0o8oGC6kunGSa5VC5h2kZ2Jf0zRcojLCEcbz2BKl3e9Y5wu/CE2Nr1KC2EtTWfyIDP5w9xwFhjNPceAuouaqNOa2M221E+wKa1yKf8VP2VehhiQmzm6FGA09xzzjQtUzAxhkWKq7LLoVLjoHaZu5xjJPUtQxHGkyXT+EEnRxbxzCdetYuhNONIkZnTyj1K7SekDRAKtVL1lvrdYpD20iQE62R7uYLlhc9I7TNnLkoyupVgbJ0YLughT82yGjANcyP8x7SLFBu1eyrVRssV3UVBoeC6Z4nGWSqcJKxqvV/6IWa4xqoySVTJE9TaCSpxW2Y/rmVTrk4yWX2M8/yJF16TZWM1otcJLxf+Ei81k/lWm8/7GqnorF6dan6AndS9dbh9RJcBCzUVVgkzKC0w6OY4uVqnbOTaEHmIs/zxvWr7srWBOsyn1FMfdk/Sm7qfueMzXFWbyh7mc/xpNdHN/8pd523nDbxxFJ7oIEw40Edc6WSmfZ1XMb4ivlWosKcusk5tY9iaYrZ9muvA6eSVHjjIdYYUPJX+GmBKkUh9HSptDhf+Aic3pyjfYn/g5QppCU3QDs1aJmrlwqymQ3Ch9l0S4j7sT/4xkZB3hYC+d4W2M5p6jSIWGXWQmf5igliQtO4gQZNGpsGKNsVCDrvAOAN4q/h7xgGC8WiUdXkXdnGWqfoJPt7yfvFJAR6MiigRFAiEUQgRIk8Rxy1y0XqJQvUZIhuhUN3Cz5LIkpnGxKcg50l6K6/I458pfp2BBuTFNc3w7bYlddCT3E9FamS0coVAd/Wuv7f5OS/6IkrS/hvzrL6rZ2Vm+853vMDs7y9atW+no6Lh9/M8ktC984Qt88IMf5IknnmD//v2Ew2FeeOGF21OWv6h++7d/m4MHD/KBD3yA++67jwMHDrBjx44fetwf/uEf3n7Oe+65h6WlJV566aW/0J/zl9Xf6+bmr1K/8iu/wj/7Z/+Mz3zmM+zcuZO5uTlee+01YrHY7ceMjIzwwQ9+kHXr1vGv//W/5nOf+xyf//znf+D3/PZv/zZPPvkkTz31FHfccQdTU1O8/vrrP0SD+KuWgoIRaGO5dIa6OUtHaAuL5fOkY1uY8s4RU9tR0bGcEgv1C5huiRZjLdfy36RuzrNQeIdOhrmc/xoNN8+L1W9zdqXBQEylTfaSNyUmNnEZpSIKKIrGTE2hPbGXIeMANc9m1jpHkk4MEcV0SmSrV4nTSoZRumUb1wrPsCjGGS87TNXqnPLeYLxkcV/oDj+bIHU/OgGW3XEcp8DrxS/QGjToTz2ELhRSoof52jkmim/QUOpMlN/knPcGZ6vfplv4wZOl+gwfSP8KmyOPoQqBInQSop2w1kTDc3Ckydu5FbpDO7GcCq50aInvpGBPkafM6rS/U9Yb3UtfZB8zXGbZGkVXwgB0hLYQ8xJI6XC9HOSe+C8wKLexRt1Pm7KGjJig7koqlk+QUZQAKSVMxYGYrnDeHscRDlJ6TORfosIKSaOXkjNPWWYxtBgFe4pM8V2khDIrXM5/jffHnuJC8escrXyZSKAV28kjhJ8N4DgFFr0b3LCWKLsZmr0OzpZWKNuClwq/zVvlP2TOusCq8F2YThldS3PRO8xq/QDpoMZk7Rh1O0dLfCeW55FQO1mRk6zUbpA3J4lHhmlN7EbiMmuVGZVTzFt+yvy4c4KKvUhM07guznIw8AhLXplpddw3C4swrbIf0y0RMVpRUJipK+SULE8m91GTJo5XZ5vRw9PZ/8pAKM7DqT5MK4OqwDB38HrxC2wMvQ9bNjC9CmmvlQgp1sod3BH2U6v7jF2cyz9NGR9ecTP/AvNVj4brkaQTD4lpZfzgWqGjKWEabpG6naNkuVieb1wNyxh93hrmrQorlJniEjVHsuJVWBY5GlYOXQkzXX6bRXmTpuhGjjlHOVr8XZbUOYpUGK1oXM5/jSVvjJq7gu3VKFSvMajuYZ96PynZRtSL4XkmFnX2RnoRwseM31BusE65i4AaoSGqGIQpN+aomBk2sx9Varwv/jOURIWT9W8xrYzxtakqnV4nzZG1WPja/YooENSSzFZOsmSOIIFUZJjB5AMoSogut4ep0htM5F+ijK/Tv8kklr3MutQTxLVOctUR3ij+DmFV5U7tIM8s/xYSD10ozJWOkdL6yNu+WXY4/n6ui7MEVUGtMc261BMANMW2Uhd1PDxst86yN86ZYv6WJl7yTmmeG3KCcmOOqcIhQmqKzvgdGGqcqNqCKgQTzLNY88iIFdYa9zLrXkIiSUTWAOBic2fi5wmogqq7QkUUmJYXaZVNJAIwa58lGhpkcypEUEsSUKI+yUhZw2LdYzjxKNedOSynipT+xowqdN+X42SIhPpxPJOdyU/zjaVxptwl1mpdVMlTsj1u2ktsSDzBdP4Qi94NJuV5RkuSmYpNwmumLPLUzEUUFHq1bawK7ONqfZlT5k0ul54lrDQRVFSalAguNoveDearFmeWLW6WXCJGC3PqDO9N/jK2MOmO7mE6f4gvTE/7UlUZ4lLxGboTB5DSo+YIaq6LIxt0hQNsbwoSUKIsmdeZLRzBdhus1+/hXes53rW/S7PsQhdwzn2NfcGPMph6hLI9zwn3Fd7fHURVI7xQ+B36wiHmxSJl18/vyYtFRuUMpytZpmp1OkJbiIogvbG9nC79d+a8PN8r/kfWBx9kXdzf+e9J3cu4c4IZb4WlyhXmC28S0Ftv38eaSTEtLxJX22mVTRzLmsTCq5kpH+Na4VmiIsimhMem1FNU65MYWoy6LDJv1ogJX/azzrj/1j1R9aeW8Z1cyz/DgHoH/akHMe0CbcoaWtQhzuZq9HiDFOuTFBszpNWwn/nk2RyvT1DxLJJaD4XGJHGtE8+tUSNPpnKO3lAEB386MirGOVb6EkagnZ7UvSyqMyj4OXDrUk/wcvVPcNwCnrRZscZIyDRFa46aV+BM4cukA6uIhPoZit3HQOphskqGqrdCVAnw6Y7PsmBdImR0Ew72MlJ+mbnaGdKxTUgkNWeFRWUeV3qsWBaWU8KVNjujrQxEwvQF93Cx8hzBQCf/uPkgvan7EUIl7iVI0I6CL38+srKMInQGUg+zwiyzYoawkiSiSQxCPrJa20xDFgnozeRMga4oLIscU9ZJTntHkNKlbi7SHPcpn0OBJi7nLY7YrzPHEv2pB1mXfJz3JH6RFi2C65bIK8ucNadpU4c5VvzPNEU30Jk8iOtJ7ov9DKZT9v1Z1WsE1AiZ+iXWpZ7AxSEUSNEU20rZWuBc+ZuY2OSVHLZb563qJBKPWMDfWG0yJO1GiJToYTj9OKa9gkDQLNPkRRGJR8XNElVamVNmGREX6YzvYZ3hRyGURAEbE1UIpvOHuJZ/hpq7woRyjTZ1mHuiP8Vy3aE1tpVibRKBykLhHWbyh/04hUDzj7S2+zsr729w/A2qv78fKeVfeNx99923HxcMBvm93/s9VlZWqNVqvPDCC7ehWn9ZRaNRvvKVr1CtVslkMnz2s5/lyJEj/M7v/M7txxw5cuQHnjOXy3HkyBHuueeev9bf8b9dc/PnL4QQgt/4jd9gYWGBRqPB0aNH2bhx4w/8n3/7b//t7ZHajRs3+KVf+qUfghDous7nP/95FhcXKZVKHDp0iA0bNvxI52hoUQJanLo5y6r0B+hI7meudgZVCVC3c+hKCFNWGKm8TEhPE9STVM0lDBlGCA3wCBndXKq9QDKyjkF1Dw9HHmNEjKIrkjkxiqoIikqeaXWcm/kXiQU6aAtKOhmmh1aSmkFfYBcBGWAq/xrNwdWkw6t82ULhCKe81+lPvpfV3maklKR1gycSD6EpgkzdYp/xONP5Q1REgWJ90tfDRjewNiGIkKIpYLDo3SBqdLAn+mPsDHXRFd1Jh7oB215ia7iN5epVpLT9sMHGq1ien0EzVv4eMVoQCAwRRUOl7GWJBtuI6m3kqjeI6u3EZYTx4mFf1iDj3Mj9KXfrd7FTe5iF4jGmrQLj+ZfIKJPsSv4URdunSDWrEa5Yh338rjT5dvl5GtYK+9T9eJ5DVziA68G58gpb9UGSXgJ56xvBkzZBESeudZI3J3HcOvnKFdrid3C92OCXurYylH6UFytf487YT9EZv4NudRNt8Z3U7TwNp0g0NEiT0keXkqZsLRAjwqwywkTZ5cfbf5374z+Loca4Uvgm1fokOyNPskm5h0vVF+gOw0D4ALsDjxFT27kmbjCWf4ENcjdSegwE92PaRQDWJh/nvtYkKa8ZHY26l/fpRHobHWGVhlfiuHuEpAiz2LhKO6v9oD8xTt3OkatcY8o5ze50nSp5bpZsRuQx8pUrnDNn2B3+KN+pPk/ekvSnHuRyocqMMk57Yi/9ajN5e4KE1oUtbLLODRaUOZrVCEUyzDsXSUbWMVd4k6CWpD/5XrqjCnm3wZI3xiinSMc20RfYxUb2kS2+S7E+SaU+TltYIxXwtec2FkWlSH8oxjwjRJVW0oagSYlypfJd2mJbCYo4UaODTOkUqtCIqq0Mph7BkjX69DQRzd/JsrwKy6WzLFUuEjK6uVJ/mbaQzpR3jpJSRFMjXMs/wx8u/Ediuspc4U1WeasxhUnFytLstjNefZOo0U440ExQ0bCFzVv2i6SI0xJeS9GZZUM8xpZUhBYxQACNnclPE5Z+TpUnLYaMA5QsSULrZqr0FopioCDoiR+4vQiJejEaVFiT+iBFmWGhdh7HKXBv4hfxkFx1p7kz8fMIFFKGSl/8HiZKb9BwCnQmD1Kn5IeBqsIP05VZemUnCa2bi4WvEFAjRAO+L9FAJ04rNc9GRaNf9uJ6DXYkPkXBmmbQ28B84U1CJDBdjx7ZzoE2wZXKd1lvtLNUOk1P6l4MNc5g6hE6vC6CIgCAphjo0idjXRXnyFsQ1JI07BxzVZeAGmG+fIqJ/EvMO5e4aM6T92bQpIbt1ugN7qJd30Ddy5PUesiVLxEJtLFUOs3WcBsPJQcpKTlUAVOlN2i4LhuDbcS9BIrQqVh+E9MSVOiO6LSQIOk10xrbhILOSP0wVyrfpU9P0yW76IrvI2fdpDeqEVQVWtwuKrdkbW0hnZagQrE2xaDXz0A0RMGZYaLwCqvTj6GgUHLnqVPiY82/xGzxTaJ6O7NVj6JrEiLBaKXGWMmhbM/TZmxgU+opNCVAm5Jgc+BhugPbqYsalgcxvZOzzissW6Os0vbRpA9xeN5Behb7Y/+EmVqDbtnGhDJGTs7c8nm0MGw0c9p5hbHc8+QpM55/iUiwl5OFP+BDTb/KoNaMoUBYSbFQPkPdzrMh2Eo81EM8Mkw81E1Z5AjozTSkRUrpwZU2Z70jxHWNhrVCT2wf98b/KbZ0UYVktHYYI9BGi7GWhlfi9eIXcJEMqLsoKFm6k3czknuWuNZJUE2gKAbT8iIenh8fQJapxgmfFIjDvdGfpGEtIgRMW6cRQrDgXGFNLMp6uZZ00A+qDRpdLNauoCgBrjaWWK/1ENCb8XDZF/9pIkYLFTtDwyviAUmth2v5ZzgQfJIPpn4FR5pEtBamuUrDWiFfHUUIBV0ECevNpL1W0rKDBfsSHcpail4dVQg0NURLeB21xjSq6lPYLMc3qIe1JvYG17BEkY3JEBvjj9GsDnKpXKAjrDDVOEF3bA+2W0EVEhWdtuB6ltUMYRnFkSbrWYMrXAKBFlShc1DfRUHO+VMlCddqr7I+9n7CMoqKjqGnGI65FGyLvZFuugPb/GmLU6Q7cYCE2klBznHBnqY/qrNLuQtdBhCo5LwpKqJGybFYl3yCPtnNPbF+Wr1WfrLzc0TUJuYLbwL+grFanyRnTzCYeoRC9RqbAu/l/clhPOHdniJV65Osi7+fNi1KQ1QYCO5nu9FLpn6Juptnwb7E/3via3w9+5tk3RvM1E4SD/VTtCSHS7/PIjcxqbFUOs1M9V3CMkbF8cNbJR4Nc54ld4yxyvewPI9YeDX7Ez9HrnyJdjnIZOM4HpKUoWK5VWwnx0rtBv2pBwnorWQqF4gZHT/S+u7vqqQnf+TjH+p/w+bmf4eqmlksx8fazlZPoYswdXMeTzp0hrf5C8vGTdqiW9BF2A+mc8tcKXwTTUv45K7QEFGjnajexnXzMFfsOQwZ5n8sjTKTP8zb1XGmzJNk6pfoS95Ppnick8uuP4lhlgWnxKR5gpzwb8wr5jgVa5Gh9KN0Jg9iOmXKboYZdZLL7gRBVfCfZ/4N0+4Kb1rPM67cYHX6MVxp0xxZz5S4zLB2J9eLEoHCmLWClC4rlcscL3+Z79beZK5ykgortCX28Kel54gGOxiOvx9P+nIN2/OD++KhXibrx7ipTDBdehsDnZI5S658ibToQXp1NAwWlSWCgTRGoJ2QDCGRfM98jXPuaxiBVlqUGPGwL3E5WfgD6i5MK2MseAVigQ6CRJkvvcs+zYcYvOO+SXt0Cydrc5RtSU2psmJZXPLeIHQrKT5vTlL38kyXjuJ6FslAL6oaJ1M8zkAsSLbhJ2QPh+7lqjzGQvkMJnUyxeN0hrejCo2A5i+Sp2WWuNFFRmQZ9rZgeZJl0+Kk87KPYU7egxAa5xvfYVy5QizYyXeyWSZqb/N68QtMFF4i7qVZk/og88o8uhbmcv5rRIwWUqp/k/7X4/+RilImrxTYoexGoJAWPZRtSVLroUtZz5hyk6TRy5X6ywCoaCSD/X46tdrEWCXIdP4Qx5yj3G+8l+b4drJyjB4jxiblHp6vvM5U4RDb0xGaZRdCKEy7OfKVK0yV3mJJzKAIjTpF1iQC1NwVIlorQS2JpiVoOAUArhUsxsR5qvYy69jtP3fjKBllgb2JzxALdtMS38mJ8jxHMw22Bj/AzdpREl4CAEvWmSi9wfVig4bnsD3yIX9xQoqquYjn1QmKBCvWGIpQ8aTNFWeKby5kGEg9TFhtQlEMVCVCR3grjltDVwRJrcffUQx2o2lJhhIP8dWl38GTNjVpcrrwh4T0NO8Uf5+e6G6iaisRrYWKZxGVYfZoD3FJHmO2cATTKTFSqvKlxa+QZx4djYvV54l6MWrWMv3xuziXf5q9zZLx/IvYTo6gnuZd+wVWzHHKjXnmK2eoKGWStN2W8yhCI2R0s6Lkeds+xSDdLKjTVJwMb9dvMJ5/ke7Ybqr1ScJKihbZQ65xk4YrWRTjFK05LomzpKV/Q9eEQb4+QVRtZVy5ypx9no3JCHvirdSkhWUvM+GeIqI3UxFVBIK8N0NA9aePJ5dBVQKMmMvEI8PMFt4gVxtlvnaWi/IoDWnxbOlbLJZOYwuTQmOSYW8LKw2PlOjBcQpctKdoOAWaI74crkPbQJ55hFCoiyqmlSEuk1wvPEtctDNfP0c6tonl8kWG049TslymKy6a1FGFYEfsE7QGdXQFSkqRDcknaQ6uxpU2CV3yWvUahyr/jSYlykLhHRxMusI7CGjR27uEfd5aonob2brHcfckp6p+GHRGFijZvhcsFRniEqc5WclQt3MMJN/LaO45Nuhd5Cq+eXzJMvE8E1fa9EYVjpZ+H094DEZCXLSnKNUnSXnNOJgUa2PUPAcpPMbrb7Ho3aDFcDFElFX6Pky7SE2UCcooqxO+RycqDN6sf4M8FQa8ITxps1A7z4I6S8V2EUJhKP0oo87bSCRCKDyY/OfEdJVlu8GzpROM5Z5HV6NsCD3ESXMU0ymTCHTjeiZjuedpi27haPF3CRKhTfYyoOwgY9bR1DDZxlXerH2VFSVHwVYI6SkiRitT5bfYzH7uS/wSbzWewRQ+mCIgorcJoK2yn4DeRLb4LovVSySUEJoIUq1P0qen6Q0kGRXXaY5tpeRYrNfvYUFk2KXex3zV4nv1/4EQKu2JvUSMVtaG70dTgrg4XHGm6I3tp8lrw8MjV75EvnKFg4F9zIkFlszrDKYeYUXJU/Fs//NWOk4v60mE++mL34mqxrFlg051A+8Uf5+cWKBmrTAoOrgpLjBXs+hTtpGtXaE3dT8Nc56o0kpP8P8kTc3VG7jC4UK+yqXiN7he+DYlpUTJloT1ZobkOhKhfsZKHgERps3tYST3LHVR8yVTbp0uJYWmBBnLPc+EWaRdrGHUeZuFGiSDfUxYJ7hhv0nDK1GujXI2r7AuEeJsZYk+2U1v6n5MO0/FyVB2MyhCp8Vr5u1ilnfd18krWepeHl0JM+6dIi+KTDVO8HLh8xwrZbgk3+KNxiVmSj5A5W3nCNfFVYJGJ93aFqbLbxOPDJNTs5zOVVhmmrKzSH/qQRTFoEd2kHMaWLJGgXmWGha7Ao+yXDpL1Vzk/tAT7E/8nB8orMVI6n24UrIp8SRBJcF0+W0UxaAjvJWwDPuNS2IvURkhHOylZi8TDXagIDC0GBeslwjorZyrfItqY5oJZYRLtWUiWgsAppXxA769BsnwANnSyb/NZeDfvP5vmtz8P6X+obn5W6iO6FYK1WvMV87RMOdZro8AHi1RPzCvYi6gKDqmV2Gxeomh9KPEgr10JQ4QDrQQVzowvQqK0Ki5K1Tq4yS9BE1eExvVAcLBXnYaA/QZu+gKbSd7K5E8pivU3TxFMmyJNTFo7MPFZnPqx6hbS7fBA9nKRdqC6wmpKZbM6yio1B2P7uTdVEURXQmRlh1UPN90nimdok9u5EThS3wj/0dUyWMKk4jaxGDiAXoTB2kRA7RHtzGRf4mlykUOBh4hV75EmSVmRAbXLXGlWGPJHkFVDNLBQXq9PqRXpyMYYq1x76105jla4/5NYsG9QltwI4rQEFIhHdtEu7qO1doBeiK78W7dtAMijK6lmSq7NMsuTNHAEFFmrXN4Xp1J5pgyT9LHJsr2PE1eiqLlUhMlbOmS0HqI6Z2YbplqfZJs9SqaGiNmdCJQSYYH/RBQBd5YymMoUVSpYShRDD3JkjtGMrKOhiwR1dswHV9O1ytaqVhZBugkqRkctd7ghPs9AOKhXlR0mmNbqZuzNNwiMa2NLeEWBsIH6E7eTTDQSVZMknZbGau8juM2GEg9jOVU/UWv0cmDsc+w1ehGlRoX5HmK9Uk6ZDvnaosEZRQHh8nSUWbyh1EUjS2pTzJdPEKhMQnAbOEIp1e45XUJY3oeUbWFDXI3b9unyCl5dikHAIVz+RoX6y9QtZfZEm5hOP04PbF9BImS1vpJ0Umm5rFcOstM/jDZ0mmGow+hCo2iM8MFeZ5s9So9xg5GxXnmim9iOxUqrHCi+F9uY5wtYfGBHoOCsoyhxcgqGTINk2J9Cl2NogiBiY2NTa46wo3qIWwnRzKyjpIzzyptH2O553GkySrRzQdb21lqXKdHrsfzTF/jLfMIoXG8OstqbzVZb4xifZKB+D2k3VYeiP2Mn8MhAhiBdlThT2BiMs1E/iUylXNoKJjY1KVzW4YphEpGWeQjiU8wnT/EkrKComjMKaN40iEgQz68oqrSHN/O+tSTt3Tv7m16z9bIh2mICufyT/sI6dp5HNf3KI3UD9MpV/FK5Wnma+fIlS+xin66k3czmX8VgWC6/A4LYoyw3szp+hwz+cMkjV4K5jQRGaIjcYDl6jUGIwfpdgdYLTeyRb2ft4sZ3inNs6RkGUo/Sq5ymYXCO4w7J0jHtpCr3SSkKaSiG3im8HXaw5uxhYXr+RANITTiwR6WS2fJqgus1g+QiqzDlTY94V2MKVeoOi5X898A/ODHfOUKCbWL3tT9LDh+aLLt1W8DElpFgnXJJ2jyWqjWfSmSlCZ5d4aQptAXVVkjBvjK4v/Bkpih7ki+VfxT8nKGCitk69doVgdxJIzknqU1upkz8h2CRifT+UOs2GNoikHRsTkvjzDKaYrWHGPWCjP5w2yKPUbDWsQWFpecccbLdTRh0Cc3Mof/vdvlDbA6/Rh5y0JTY1iyQnvQIBzsxRBRDi/l2Jz8ODWZ50J1mYeTg6Qj6yiKHAmZJhrqpyZN0sToCu/A9Ux+ZzxPVCZZEtOkQgNczX8DF5t3c0U/rFVMsyZ8LzEizIk5+sUWhsL3sGBeIhHQyFeuUPPydOibCAe7qTZmOSff8j9HosQ6ucUPM7TmGTHfQKBwh/FBbK+GlB4bUx/372XJ/YzUD3PJfAWAsKITCqRoCQ7TG9uLjUnVEUS0llvhyr0EFY1j5rPUGzOsSP97Jtu4SlxtR1cj3LSPoasRWuI7SYT6OOm9SZvbQyTUzw1nAVWAIlTqdo7heISMmEBFw5QufdEAbaGNFC3f06UInQZVKvVxLGHREP775kThS5wo/hdi4dVEQv2UbIcDkUHW6AcpuxluWse4zAk8zyIS7CUjJqhZy4zlnice6mHJHMHDQ9OSVNwsg5GD2NLDEFHe0xHgTOHLtIY34EiTbamfwJBhbpReQSCoOSsAnMs/zbp4hJDRwVDq/bR4TdgeNKuDJNQA5cYsUsKN/LfJK8v0pO5lzjlPLLzah6d4BQJaxIfmCIfRxlFK9Ul/AqSs9e/TgVWE1BTR0CAVWzJWMhnQ07xe+yoJ2n1SnHInALnGTTLKAl1Kim51k+/hK71LwZymSRu85WlpkIpuYFZeJqI2sVYO47ol6m6BJxL3Ubgle51zL5EMDwJQ9ZZZUOZokz78KFu/hueZXBEXmFBGsGUN26txkVOcdV7xvW7BDiblIrawKTk+kXGpcZ2lhsOF/B/jShtdjeJ5JtOlo1z13mJT6ikyxeNURJVIoPW2pPWKPU9S60FXQz5t1ckhpUPemiBFlNni26hqnHCwFw+PsNFGSu1BVRN/g1Xe30HJv8HxD/UPzc3fRpWdJQAURQMgGeynK3GQTPFd+kJ76I0dwHaq5KujOG4NT7oUqtd8/bVXpybzLJVOE1PbyZUv+cFiQsdDcsm9Sa0xzRHzFCPll2l3O32tc6CdRMDHBgdFnIWaxYX8H9MpV1EkQ3NkHapicCP/Z8RDPSS9VgwRRVUMLue/Rs422aHsJkiEbm0LBSXLQuGdW3+HwZwyykDqYT6U+HEipEh4CVz8YLelxghLcsJvHGJbCWgpVCGIhPoJixQB6UtUNiTCJLU+mpUBZgtHuCSP4Umbl+svc678dWbyh1mu36DYmGGqeBhP2qRlB5oaQgqPqrnEpfxXuGa9zrJ1AwVBSh9grn6WWKgLABeHFq8JTRhotyAOi+4INXORUfcEtlunSoNT7gVGc89xvPEtVqybvi+iPkk0NMiq6N3Egp10qhsIEWelfJ7J/KvMVhwuu6+TKZ+jJsqU7AW2Bh6hW91EvnKFxfIZZgtHsOwSk6WjuFLSb+whrmuc9E6zlt0MKbtI6n140qbqrdCrbGFb6ifQFIOSM09vVFBhhYZXwrSXmMkf5njxi7RG1tMb9cOvLKeEEAoNc5637e+QbZi0ixRVdwUpPd6ufxMNlaw3Rqds467Ij7Mz+Wlsp8LFwtfoShwgeitvCSAeECyVTrNWbiWiqViyzphyxZclskLRNWmJ72BVNMyB4JN0GJt4pe6njU8W/ce42NhYjDXydCYP0p96kK7kQa6Xv0u+coUBdRcd3ioAQjJyW9s/FL2PkjWLRKJpSWy3So9sZ7EhGCk+j+3VKch5ViiyM/Q4yVAf79jfZUVZYsI9SdhoQ1fDREL92F6dAfUOIjJES3wnpltiUvpY7Nbgeo4Xv8hA6mH6hT8xtewsNVHm1eJ/IqX24LoVbuZfxBImI+I6mpZiTsyxNvIgjmcyx1V6aPU9MKFeMsoix0t/gCE0isoyA6mH0ZQAHbKdbxW/SiTUz65QD63hDRgiRsOcR0FFSocVU6IJg6nGCZrj21EUnXZtA0IonK8+x3jxNTamPu6baQMpbCdHd+QOOsPb8JA0RVazPvgg/akHWZArlOwFOpL7UdQwyfAqYrSwXD5Lh2ymO3k3OiFMu0hJKdMiBtgUe4wVb4pZdYIFkeG09R00VNIk6Zc9jOWeR0qHzuRB2vUNFOuTtEe3MF+10NUo94eeuI2rDqgRdiY/jZQemvCR8CVvgZxYIKa1kbNuMlU9Rs6aZN4t0BTbSmfyIA2n4Ddv5iUK1jS92jbWyU2U6tNUvCXSsU2c4zQz5hlKij8JF6hI6fvQGq7kasHkjPcuW1KfpM9bw5JlskY/SBurcLGpNabJOjfIW/Dpzl/HEFFaxRDp0BBD6UfJV67REdjE9C0k8271IFK6VEWV5vh2pp1z9CfuZ5XSTo08G1MhSuYccRFEoGJoMd4p/zeWrRtMiVks2/f2NVyJ7VRYNkcZMBLMOheYyR9mQE/jSl9yeS3/DEIqRPRmsuocihDcLLyCIjQOplpIeAlWGqNUrEUGU4+w5PqBtTN5X3K7OdDNmLhGi9dKVVS5nP8avYGdSCTNse0sls/Q5LXQFFyNqkRIqJ3kKROWYVQEy+XzrEq9n7jRTc6bIqPOky2fJR7oxpBBgiJO3c7RE95Fw8oRkgbn5Uk8z2GpMULDKxKWMa4XJd2sxXH9xu9d93XWBx+kOb6DhcI7NLwiIT3NdPkdyjVf9hUNtOJKk2zxXaJqKzc5Qzq4im3BLlYsC10a6GqQ2arFfOUcnbIFVSjYEraKzThuHVfaVMwFIjJBNDRI/NaEd7Fxld7U/fSlHkBKl6bgaq6LEXINxw9bVqKUazfZxj50LUq5NkqXt5rO8DZaE7uJau10BrewIqfojR2gT9mGip+XMpF/iaoDg6lHCIkEdWfF30BqHPeDOvUWwloTHpKg0Um24VJvzLFkXmdJWeFG2d+keKX2TfpidxIPKAhUGlQIixT5yhXKtVHeLP8BQvoSyGYxyBXrMHVrkVRkmJqocaH4DVbK52mWXbelWk1BgScli1ade8NPYcggy41Rjhe/iK6ECQdaaPJaOFR/hhn3go+slh7RQCsztZNkxTKrIncT0zvpFhuZzL+KKz1S0Q2EtSYqtmRQ20M6NESTNkjFzFCu3WSu+DZV8sxxFV2NUmv4n6UW2csmNhFRmgkrTfTI9bQYa1FQWKPu53zhj5nlGjVrmabAEJ50uO5N0p96kM1iE8lQH+2JvcSCvUS0Fsr40JEb1pu0qcN40iakpFhhlqnSW+QrV2hP7GVd6gkCequ/phL+NQOIG12s1G5Qro0yknv2dnP2D/X/zPqH5uZvofKVi6RjmwhoMdKxTdSdFTw8pHT8wM3Sm6wK30VzdB1d8d23mPF+NawlstUraFqSnHWTeGSY6fwh3qx9jRnlBhuUVfSnHmQjW9C1KEtK1tcYexbv5PI0nAI5e4Lr3GRj6uPcEWthqTHCMHeQDPTSl7yXhNbDpHfGT/7VttEc3053KMwVrnMu/zQllkh4zShKiKq3gudW2Si3slVsJqAoLMtxiopPRZkxz9AW3IghoqT0AcqNWdrCG1hyqrQFNzKaf56gDPm5LKZHXeapkWco/ShdYj1CaOxT76clutn/+815mkJDtMa2k9YHOV/5Fl2BLVyxDhMxWlDVCOXaKPnKFTx8aU8q6OcV1VyXKe8cJ6w/o+D4gapNoo8t4iCDiXupWcvEjA5ucgYHk+b4durmLKv1AzjSxNBb6AhtIWNfQRE67bKFWescPal72ZR6ClURdOvb6YntY8Y8Q4exieFwkjzzdCYPkooMEwn10xPbx8PxT7MmbnAp/xXmzRqD3gY0FBbFNEH8dGqArJhk2jnHQuEd6laeVECioLBPvZ9goI3u5N1+2GPhCHO1M77fKTJMR+KATyxSIwQVjatcJaI2YTs5LCdPVVQxlCi6UFhR8kRkiHR4NV2JA7ffaxU7Q3/qQdqD0J28mzFxjelGmZXaDSbzr/JU2+eI0kRcMXC8Ggowp8xiywbvDe3Flg22xT+BIaJkzesU5BwbImny9XEaXomKnSGgx+lN3c/Z4h9TVHIYegKBwt7EZwgHmphqnODB8GP0px5kU+wxugPbqUmbquMjQlNGP/OFN5F49Bnx2xk1M+YZBtU9GGqMSn2cvuAeIoE2xt0T6GjE1HaaAkPURInWoEfZ9eEFc5XTXDJfYal2DSPQji4NVqUeYST3LLqWpim2hV6lhS1iIxGjhTvDQ+SY9Rd5bKTo1W8DHzZpfpN63H6BZreDbOMqHfomzrqH+VD848SNLi7UllBQ/JtpZB1FMuxNfIaLpQKZ4nGagqvJVa5Qqo4wUnqJeLCHtugm+uL3MFJ++fZr1Rzb7pOmyu8ww2UaToGqKDJXPkWXaKZcu0nVXsZ1q/7zlV7i/cnPskyJ5VuyNSkdHBw8PBwcyo05HNlgW6CfVHCAPj2NjkJeVgkHe4mE+kmIdq7ln6ElugENg3FmCYgQGbdES3wnC9YlSvUZNFTCgSYWy+dJRTewXLmGxGWpMcIa/SDdkTvoDmwjryz7iyJrgXzlCi3GMJ5nU67e4FL5OVKBALFgN1VrkYZdxPZq9Bg7WPRuMFt+l7mKT5MquvM0GSqtwQAx4YMxLrg+uSoqw+TFIg2vxMPJz5KrXOZyoc7h+nn26luxqNNw80wU3yAS7KUoMwQIkdL6WHarNAdXk3GvAWCocRxMRr15Br315E1JSE/zlvltdoq95MuXiYb8PKPvL4BDSoqusEo02IGhxQhqgk+m389TbZ/jrHsDKcHQYqhqhAEjyULhHfq9QRqeQzzUz3qxj6IlmVUniATaqNTH/dfvlt6kNbGb+4K7aQ0pDHjDCBSuFJ9hKP0oKhoNV7JSuURrbCsekrnSu+ha+NaUXjClXCeoqghhkKlfIqa00qasYST3LJoao4luZuRlZqrvslN7iJHcsyTCfVzy3iApuogH/JDY2cIRZuVl0obgROFL1BrTZIrHSWo9ZMUkG8QBNC2Ji81y+Tzt0W3+e0rvZqHwju8hTD1Ml9tHzclRtuZ5o3GWC/IdpuoniGudFNw6fbH9HLe/S54SizWbq4zRHtpMQusipKdJEac1uJ4OLYZAoVwbZY23ieniETpCW5grHcOTLj1RjZXSOQA2Jv8ReVklHfQXuCerX6fZ8yWbUZpQpIImDCreEkVlmevl7/Ku+7rv16iDh81I7lkArpaepze4i0XnGpoapOpkyVEgHGjihfJX6Uve7xNRZTNSSkaKL9ASXEumcZmUIfCkTcmdZ7p6goDub548nPh5mpQoa+LvBXxAiyIMdijvYdw5wXDi/f5aQ8nSFNtKtT7JyVyRV0q/T1GUiOk6pmhQqY+jqhHmim8jpcsIJ+kJ7qRH3UK5eoN4ZJigSNAcGkaTmk9XK77NpdoLCKERVPwpYMMtkjIEN6w3abh5RnLP+nK80ADBQDt7tTtYrly7LUEG6BLNRDSVoIziYeMKl4YsMVc+RV3UuSf+CwREiESwB0+61BrTRGWCTO0SAMXGDB3KWpoNH1Sy3PDJd5v1BzGFP2FcalznoL4L28n53kalienGSZoiq9mY+jgKCorQ6Izf4cdFBJoIGb78uGYt/7XXdn+X9Q+em79Z/UNz87dQXcm7MZ0yjut7GgrVa6hCRxE6qyJ30xrbRJU8UnooKCyUzwA+uUbXErRGNhAP9dBsrKFhrWAE2mmLbOIjyV1c8W5ScZdoDwXYY3yYsIwhhMbm6GPsS6doMfxxNcC10p8xVq5TrU9yQ5yh7ubJ1q8xkX+JjeIg9xvvpUGV5dJZ3jVvsNi4Sn/qQRqyyCqtlXioH8er4UmbUWUM03OZqPts+yU5cfvvbZZdPBbfQcmdJx7qZcjbQLMaYckcYX3yCU5U/oTp/CHqjsdi6Swd3ioW6hfoU1uQ0uE8Z8kUj9/+fYuVi2SKx1k2bxDU0zjCJhHoYof6AIow6E89SCTUT1YWUZQQucZN+rSdxDQ/eHF18C50JUxEa6VIhqCiMVN9l1Xhu0iKLjxp8/7IPvqVHTTFthKTMRaLJ3DcGq60AXC8GrZ0CWtpgiLOjeoh3rSPoqExWzlJSE8T81KcaIwRpdlfrFXHCOlpMvWLAHy3fA0hNFoCIS7LN6lj0ekN4giblfJ5NrKPVtnPSvk8QaOT7cEPMl4WzFfOYUuX1tA61rGDmNZGONhLU2g1BTmHQKVoTrNi3aRH3cKYnGM969GFT5BbH/8QA3TScIvEdY1W2cTJxrep2svkGuNoGKTUHtr1DQhUsg2IiVZaZA+dgShSer7PyGygoPCd/L+jZq0Q1WG0/BrL1ihfzvw2NnWyYpJed5BkoJe7A/vJ1K3/EwOs70RVDP8Go4SZbpxkQ+BeqqLIReslAAaC+8nZJs2ylxn3Ajcqh9iciBHXIRbsJqSk2JR6ipooM2ItMp5/kaAM021so4kEbeowqegGrua/gYK/C9ofCTNZeJWKm8WQYUaKgoTmL8p0LUxbcCOqEsC0MuTkjO9lSD92e1p3Tp7jnDxHRGvh1dopACQeNVEhLAIYWoy40cW8VWEw9QibNJ8GZWgxemQ365U7+XbpazScAk3EqLhLDKcfJ6glyTVucqb2LFOKH2ipYeB5/uZGPNRDtvguKhpr5TraoptpDqxGETo1exmJS3d0D2vkDnr1nfTKXlbHHqAufUJUqTpCc3w7Hh5N0XXMyxy9apqGOU/I6CYa7KAuSlRY4VL+K0g8lhojrJgWq73NlGwLXVFoVWO0hzb74ZWlV9ib+AxBkcCSFTbrfXSzlv5AEonHPv0RwMUUJqnAAIlwH82BNayOPYAuwsQCHdREhYTXzLX8N0l4TQih0BZcT3N8O7OVk+wIPEIqtpF0ZJiAoqArIar1SRSh+VQ3YaIJg1Xx+7DsZRarlwgqcd6pTjNXb2BSoyIKbFTfQ0vA4Lz3PRShElTiTIgpBpLvJSOW2K5sYsIs0OV1k9YHGUo8QKU+TsVepMVrosftJyFC6CLMSvkC2xSfzmOIKCWWeL34BQQgcdkWeB8nvTd9Slyg2w9HVbqIR4ZJyw5ulEzylSv0Kzs4X1tksmLfzuqJ6oKewE7Wxz+E5UruSvxT2o0gAaEypB8gq2RYHReU3Ayq0FDVCEGjkyZtkBVlhYZTYLlhM1V2GIxEmFbGSEXWMZZ7noaocta9RnfiIJoIMqeMkgj30RIcpjuwnV4tRZQmRr05uuK7CepJwjKGLgMMpB6mPboND49V7EBXI5yXR1DVOBuUu3E8i6w35m+whFYDEFCiFCx/MfWexC/SnthLzp5gqXaNKeUGByI/zmLpNAG9mbw5SVNwNSVnnmho0KcHlk9wrPpV1uv+tb4nuJ0BtlFrTFPzfCRwzp4gFRhga7iNoKqQcyb955ahW0oHk1VymD9d+bc0ZIn7k7/MmHKF9vhuMo3LtEQ3EybBVNmhPbmPpOhizjnPZfsQdbeAohjsiD7BicKXyFVHuJr/BsvuONP5Q5Qbcyio9MfvIq31MxR9DzMVm35vHZ3JgxRr4+yKfoIF+xKd2mbSwUESmk+MatKHuCv4BKasEJRR+sIhmgJBUpFhHEzKtVHmqh7bUj9BqT5N3ZwlpKdIyDSu9BiIGmTsKxTJUJBzBANNnHJfpVvfzpI7xsbUxym689SsZVQ1zs5UggfjP8uKmOWY8y5lsmhaEikdVCVCszpIRGkiIhPMuBdIRNYipYcta2RrVxi13yZbfJfVyffheRaaGmfOy/sNqjTpCUPNXMTxLB5OfhaAtuB6uiI70IVgKHYf8takZ33qSVa8KoNxn1Tp4aFKlaqTZSh2H62yGfsW2W6pcpEYTexMfhpd6jTMeTalDAwtxox7gYqbJVO5QFBP0pk8yIS4SFBGKVavMxDcT0QXDKcf9ydHt7xbKjoqGlVRoGYvoxMiGVlHvnIF017C8+rUzZkfaX33d1b/4Ln5G9U/NDd/C7VQOkutMUtAjbBcv0FL/A6WatdQ1Aij5dfIFI5RdGaIqq2YsuL7RvRmmumlYc6j/v/Y+88gu87zzhf9vSvuHDvnbnSj0QAamYgkQBIMYhYliqYVrdHI9uhopmZsz5xz59S5dW+dc2uq7gRPcHms8bU9soJlmhJFMUgURRIEiZzRSI3OOe+c1l7hvR8WBqfut3vG1rm+VXyq+hMKaOy9117red7n///90ciV7jCV/xWOW8SqLzOfP8mH2WWmKp8QUGJcqSwxrtxgpPImm8OPc630Y76f/YC410CH2M7dzI/x3AqTyjSK4j+wM+W7xMx2GmJ7CAmdtXqNlNdEOrqLO7nXsOw8G9YkrnTIOzaFyjgRzc+BqHpZ5sQyY+Iqu5NfZz53guHkV0iaPWSUZX5ZmMRyiihCp0qdX9V+jKlFmbHO0xjZxvbklzhpn6A7/ogvDwocYcUpoWspstY0rYkjtCaOAKCqAY7Ev81m/SgSD0da1GWVk5UfYOoJX/ZRz9zTz7bSF3iI64VXOWVfwZYVsiySt2apulnmcyd4K/v/pC90lAKrbHi+Zni6VONK8Yc0a1s4Xfk+W5JfIGg2EiKOqfq0tLviChG1ibnyOR9bLNqxqJIOD9CubGVWXqd0Dw0d1FO4boFCdR5POozJGTxcHoh/gw/r72M5RTLKKqfyf8R6/S6m0cKkcouR8hvsS3yT3tCDzCmjbI5J9oQ/x0e1V5nOvsv7hT9irTZK1VpkvTJKG4OsFC/5GxstQYNMkfASzLDEcu0GPcknWfPGsaVLWE1Tsl0q0iIZ7EMIBcvO+Xhb6yaj+TcoOItcz5UJySib9DR52+Zw6IvsiH0eHYWa8AlA9foaY3mbfZFXCGgJjse+zVz2fTaqY1Sx8KTN+/UTXJXn72N9r2W/S0hLMZ19l3CglYTZxbjnmzjL1Wksp8iN7A94L/dvuZj7U4q1RcJmI6cKi6xbkCndoOStMle/yGj+TZYYoyv5OCOVN1mqj7AqfDlcu74LXUuRqYxhqjEfZhHqY718mxvZHzBTqpOx/WZFSo+St3bvRDNGzc2ioPghlOVRJmofU3AWCRInX18gV5/F9ir+Vqj6MQAhvdH3oig3KbrLLCnTlJQimeIIp6yfMMp5OoL76ND3UJIWSa2bsrdOj9hJpTZPe2Qfe8Vev+Gz/UOCruTjKEKnJ/kkRWeFT+yfUXVz2FQRKJSr08wVPqHgLjImrnIt+13GxB0kHhly9CY+QyTYh0AhV5nA8SqM259wzjvP9uSXiAbayZVv40mXqpcFQKAQM9u5Ia7yQf4PmRazFN06P8v+awruIpYskQz3c770fVKylaw1zXV7hg1lhV/W3qFkLXOF07TFDjJRP81S5SqZ4gg9Xh938q8zU/wYQ4mw6FwnI5Zojh9EQRALdLJRH/dfd/QQdRzatV2sF6+iK5CpTBAJ9hEyGgkpCX9jqTSwbo/TmTxOMthLpjZBnmUAZoufMJ59k3FxmTdKr9KibWPdukuYJFOVT/CwaZONvG/9jDF5lg8K/4nxzBtMFj6gM3mcirVCThQ5U/sbRsRl8u4i4WAP6yJDrjbNWOZ1NGHSl3yWkco6lfoGS+osq8WrbE9+iYqzganGOFF/m1o9y5R7nqGEeb/hKos871V/jIdvHl+peszVL9Ihm1lw8swoo0zW8kyJGYqKnxZfdUFKl5qTY2/0ywyFnmQ8/3PqooquBLnBTc57FzlRG6EuS2xWDtMUP0DRW2Ui9wtKzjJNsoe8PU9a72eu8Alj5feZcFYJyShVUUBBwXKKZFnkVu1df0svbUbyP+KG/Z4fjGvnaIoOc7r054T1BtJKNwt1X2IXCw+SpI2q43dTNzhNu9hKmzZMR/gBcvYMpys/BOnRE3kQQw37WxTPoT24h4K1gKIYGHqMRTFBQEvwvbU/Zk1doD/1gg8cUNYoVGcpexucqI1wyrlAoTbPdP497uR+TMVaoaQUsaWLokapuXmuyU8wRRQFBV0N4Eqbu6V3Oe2eYil3ilVvHCk9okYrnrTpiB/lWvUt2hJHCegpOhIPk9A6EUKjOeQTUyuev60YLbyJ5bmcyP97HGnRHNvDxbLvIZuvXwZ86dqqmMaUIS56JwgraRadESbLZX5W+Es2ilepOBt0JB5mpVZjg3maIzsByJVvc636Fr8s/mduF8poSpBcfZak6KQlsJ2E1k1QhsiUbmOJii/rM1swtBhTRZsRLjKdfZdBbyeOtHCcHKnINmwnw0z1LOvWGPl721MhFBrNQVxswkYTuhIkFh4k7y6wPfqCHzwu5uiMHiamtXFyxWZ39DdoN3ZSlha9yafRpUlARpizihgEiRvt5CuTrLnj3HTe58833vffP3eDFWWWFs1/P8/Wf4aORsXLkQoPcS37XQBO5f+IruTj/HJjhUJ1Dk/aLOfPMBh5El0Jspg7ScVeY9EZoTv5BCPZ75Gre4xmXiNfmyPqJelNPk3BXqImyqS8FsrVaeZLZ3E8i6b4AZqie9C1JH/f21/p/ff/fFp/3z/d/z+tnvhDNMb2EjXaCGhxVvPnAOiIHkBVA0gktuuHbJoiQsBI43p1iiJDS/wQFS8HQqMz9iC6liQc7KEldoCLuT+lI/yA70tR1onRRDzYzaIzgqkn6GaYjFhiVl7ngcRvEwp2AyC9mh+cFuojqragK0E+sv4GGwdb+MQYgUpX9BDFyhhhJc27uX9Dd+JxCvV5gmYHNa/AmjeOJkyKIkNn8vj909+V2i1MGcCTNmmlm1vuhwihEFPb0BSDTGWMsfL7rJdvU5N50tFd3Mq/xqIySTTo07dqTo7V4gi9yafZFXyec+Xvcz73HcrV6fuEJ0PzJUg5a5b++BOURR7LzrHs3qY3/hgld5V2b4C12iiGGqZf2Q9CoTN5nMX6NZK0kav4Kerv5P41AaORkIxSt9f9jIzyKBOVjzCUCOu1MRbynxCWCWrWIqFAF3GZQsdkKXeKeXeE1fw55rK/YjD1EmuFCyhKkKbwVur2Bku2v1rPKqs0Kf0UK2NEZZKdya9Rs/M0hbfRILvojj7EuphFRceWFV6fq3HXPUWlNutDDLQkQT1Ff/I5qtY8y2ISU09TqM6xmj/HaevH6GiseeM4bpXp7LtowuTdwn9CQceRHtPKLQIiRpO5hc7YIV/iZeynLXaITeoBzjtvI1B4z/oFGYrMKHfJssiIuMxo5jUaYntIRrYxKqe5654iqXayIBZIRYdJBwe4WP4RitBZLY6wUR33oRJy6j5lriV+yMefeyUECrezr/o6bqMBVY3RkXgYVY1h1ZcpVKcRKHycX2Rv/OvoIkSDuRnPq+JIi/n8J7SH9xHQEqhSwyDIZPVjWqK7qdvrKCg0GJsplEfZF3mFZGQbl+U5AmoSVY3dpxWGAl0oQiNTHOFu5X3O575D0Gxmv/ECATVJXi77JvzybVxps5o/R1/wIWbEPAVr3peCOKuYSoTJ7FvcyP0VAkEy0Mta/jzr9jhlslyo/Zjx7BsElDg36+8jEJS9DSqew2Phr1Oq+TTD2ex7DKgHydVn/UbV3EKhOotOkKqdAUARJkE1SdXZIB3dxWLlMlXylJQ8VZmlXJtmo3gN16tjOUUq9TXWKreZrV9ko3SbB+LfBKBZ8WUeVWueBtFHi+wjHd1FjRIeksOxbxFQYizlTqEJk73R3ySvrKMqJtO1MyioKEKjL3SUNrbgyBopo4dEoJvO5HEiio7nWbRH9hMhTa50h5w9Q4fYzoj1Cz9AVO8lprZhyCBXaj+lxAbhQBfzlRqp0CZK1UkCSsz3I9TXiHtp4loHllcipKSp1lfo9DZzV9zCcXK+5M6zsOw8VQqoislM9SxDoSdZKl/j3cJ/YpN2mFZ1G9sSr9ASP8RA9AkqzgYPhn+LopKlObSNAW8HdaeAJ22uZP+CRKCH3cmvE5AR5kvnGffO0x0+jIpOV/woS85N8tVpVKGjCpOQkSZbvMHbOV/Xn61OMW9doVbfYE1dYN0eZ6PmoigaY8oYC8oYG9YkNVEl5TVhyCCOtLiRdYmqLWRLN7lY+EuuF14lHupjoXqZuNZByVuj6maZLZ4hKpoY9T7GkzaaMNG1OJoSYqT8BrnSLUreKsnwIKnQJhbkLYpKlvHMG6zXxihWxii5a1Rqs2yUbhBQ4kSCPXSb++lMHqdUnWStdJPB2HPowt++Om4V02ihUB5l3rnGVWecx+K/hydtLuX+jDVvnOnCR2hKkHiwi7b4ETacSTaKV2mK7kJVTEYzr9EYGCRsNuJ6dR9Gkj9DX+xRlqsjjGfeQFGCLDhXSYT6/NclTdJ00BN50L93JZ9FU0PM1P0DE9ctULHXMZUItqzh4dGoDyKESt1e58XoMfpTL9AndtNkDFFzs2RLN9Ew2Rw6jikihIxG5nMnmCufI2i2YckSGWeampv1McJakl8U/iOK0MlVJljKnSJsNpMt3cT2qrQw4OcAZd/HlAGCapK01+z7yESFhtAgXcnHCWlpqm6OMWWMlfIITbIHVQ3Tn3qBTaFjfLnxnzKtTpAp3yVudFAXVcYyr1N0lzmf+w5tsQNMZN+iIbbn/qBSdR2EUOlJPsm4cpO6rJIID5HW+tid/DpBPcWQ8SgNbiuGFvX/jsyylDtFSEtTd8vU6lkMJUKeNR93T4Sp7Dt4eNz15iiLPLezr3K6/H2qXpYNb4bxyod4SBJenKw1TTI8yEbxGmVrhR65k87kcQQKNlVUdIpylafDX+CC/RZNSj9rhYv0JJ8kr/gysaCIk1VW2RH7vO9/ShwlzzLyXteeK98mqXejiQCtiSPUXY+G2B4ct8aN6tu42ER0nzTp39c7CBmNiHuQiuX8GZLBXv7erzg+3dz8rerT4ebXUJn6JDUnR0DECOopQoEuOsIPsFq9Tc1apDN5nPI9013Z3aBcm2dz7DMEZMSXHBQu43lV6rKKroaIm10s5k4iEOjSpGYtknPmuFt6j4ASI6X3oiomk/IKk9m3aFY2My2v0hHcx7o9zgOJ36Yn+SS2598gVXyJ3Ji4yi3rPbZFnqEtfgRDBmmI7SFCGk1LIFB8CUlom5//ovhZHRl70sfTKiZrldt8Nvoya2IWz3OIyiTF2gIhLcV6fYyo3gYobAk/SUN4iKXcKepuGSlt2rw+MsURGowBdDVCOjLEVPYdzub+hCPhr6JrKWLhQabdS4SUBBXLN9Y2BbZS8JZYdyfpiB4kWxlnMuufJJ8v/5D+wDFa9G0UhH9qla1NoSoms/ZF6vYqAIOpl3wympimL/ksK+URdC1Fb+hBstY0W83HaYztJYtPcqnUZlkRsyy4I7QmjrBWuIiqxoiHtzBR+BVSeqQj28hZs0SCPdTdMvPlC+TdRe6WfC/AuHuaqbovf8vX59kQC0RkgrTsYNm9jS58o2++MkNf8lmWKyN0Rg6QKd1mLPM66eguZrPv4UmHodhzCAS9gSNsj0coWAtEzBY6Eg8D4HkWHjZXOUfF2WA6/x6OrPkQCIJkWaTmFRhzPqHXOMi10o/RlSArYpa12h2WKyNESJOO7mK9cNkP4iyfIFMcYb56kdu5VzGUCCGRJBJoZaFwmt3R37gvSTNEkMbINloTR7C9Kkm9m5K1TELrpCl+wN8OVqaRXpX53Am2x/yw1t74YwA8lW6nJny5xHjmDQBUodEU3YUiVJbzZ5j2LjFe+4igniJTmwB8Wtl8+QKhQBc3rF8S1zsQ4r8lJrssV0cw1DCWnaMluptoaADL3uDpxD8nqKdYU9Z9T0nhHFEafZyqWyQc7GHZvc2t7I+QeDRpm8mWbhITLURDA+xKfAWAuez7bEl+gaTezWT2LRShEQ0NUHCXCesNeNImpCQYigdxkTREhkhHdxE0Ozib+xMASkqRydwvfP+ULOFJh97k0yTDAziyhuUUadW2EdDiZOrTKFLB9qpoagLDaCQdGaJcncbQYrSF9mCqUZLhfhQEk9m3qIkyycg2DL2Jm/nXfGRu6Top2cotzhASJkEleX84PZ/7Dhl7knJtiYCeIOolMZUIt7I/YoUJNBFgNn+S1eJV5rLvs+Tl7l0DIWxhsT/+DXQ1wrqYJRXYRIexm5wzw1LlKnVRxdCiVL0speoEN8U1ivUl2hJHmcv+iiAx+hJPEJEhFKESV9sA6I49whgXMUTo/jW/SdmH4+ZZq/mSv8HgcSqiSCq0ibbYIYpKliX3JhPVj7C9KmvuOE3aZj7K/we6vG4WS5ewcYjozdTqGRpie/wAZKqMZL9HLOh7TUYzrzFZ+IDp7LtsFK8SC3ai4sNjcuXbSCR9dBEKdBHUk3SaewmajZS9dQw1THdUI6w14Uqb+ZwftHi79h4lpchM/Tzr5TsYimA723yyVLALz7PoUw9Sqk5ScBeJKI2E1TS7wi/SI7vIFEdYL1xmNvseVn2Ztfx56vY6mpa8D4ZZyZ9nkAeIeHF/U6jo/rVZnUVRTKRXx5MuCgoTlY+oOBs+YcqzqIsqS8VL2E6FulOgXl8hFR0mVxnDIMg5+00SWqf/3BAKPbFjqEJnvXiZTrmVqOorANZKN9GVINuTX8LDo1kbojf0IPPONQ4mfpeit8qg+QiDqZdIR7bRre1DCJWNyl00TGzq1GWF5dJVFqs+jTRXvs2kcpPtyS8RN7tI0YFNlbpXYqZ8mrTiH/IFVPCkywwjrFi+r7Ixto84jdwuvf3/4X1NBnvpDO2nbK/ToPbRom1joXiBkNHA55K/x6bks3RHH6IzeRxNDaJpCZoD28kr6wS0ONHQAHes91kuXUGVGlujz/nmeWeDXm8IU0TQlSBh6cvG8so6vfHHWKndosQ6AVX414sWI0EbWXeOR+P/jKqdYWfya3h4tN+LdNC1MAE9ztZEkBQduDhUPD+g1PEsLFlkon4a26sC0B9IUqrO0qceZCV/HtNoIWfNYqhhUiEf+uJgYahh2r0OTKOFhcJpdujdpLwm2hJHiQbb6RDbaVL6qVmLJJUQF6yf4rg1X/kQ6qcjepDr9XdYKl6iZPkZNVk5x3r1LgAd5m7WvUn6Uy/4h3JSR1XDNLgtxL0GRqvvs1EbY7V0nQhpGpQ++pLPEgsPUvbWsWSJXHWGN3L/AUOJkAptomYtUnKWWS/fYWfya35Ypx73v5f3iJShQBd1r0R34on/Q33d/9n16ebmb1efDje/horrnVSsFcCXWACsW3dRhEZv8mnmsx+wO/ZlZktn/MYl/hgqOgv2VbqN/Xj3fB+q0FEUncXcSd8bEt7MujtJMrKNTOk2bZHdaJiMZV6nVJ1lrXCBgdSLjGS/R9XOsFq/TY+6l0nvAhUvR6E8SjKyjY3qOMXKGKaI+FIh6xNy1iy3sj+iamdwsTkU/gqq0P0sk9x7ZIojeHislK77xneviZbYAep2ltlaERWdkNHAulgAQFdCFMqjzGbf41DoFe6U3yWiNtES97dDDdE9rKoLCKHcf6jE7j0AAUqizJboM4S0FIYaZq5whuC9kyRdBFjKnSKl9VD2NtgUe4xIqI94oJOe2DHGqh+yUL/GujdFtjzuZ114Fo5X98EG5TE8XLYnv0TNK5B35hkIH2cw+hRTlU/838cNHK9CoT5PV/JxkpFtzOQ/pE95gCbRT0NsD9FAO1GjDUOLAVCur1KuTWPZeXYYT9MfeoSk6uuvOxIPI6XHFv1hYsEu6k6RgrPIOrMsyFuE1DS72IOLpCv2IAvliwT1JDOFjxmOv0xH4mE2ilfpSDxMKtjPROUj2hPHWHJuciNfIhHoYa1wkaCSxMVmKPkyK5WbxIW/qfM8C1NESdHBen2MpeIldCXIbvUJbCx2R77AavEqEpeW4DC7gs9jEKRSX6cv+SyGGuZg8GUGUy8RN7tQFF/vvm6Ps197isHYc9y1T9IUP0Ao0MWGNUlQSRJRmuhR91JyV+kKH6TsbVCozaGgkAj56NDdya9TFjn2Jr7BXOkcK2ISRUCFPHsDn6M/9YJPDkPFlTYzhY+JhgZYL1wmbDRje1XSgQEEgpqbx5MOldqsb9qtjBClkUx1nMbIDnQ1SK4ySXN0F1U3yzbjOHtiX+Y6FwgoMda8cdZqozwe+8dk5Rzt3gBSeuiKv0E5FP8W5eq0b7KPPcCyc5Nj5os4OPQknwJgunIaFd3/rAJ9tJrD/rZISbM1+QqWLFGyJbfEFaT0sJwC6aCf11S1s7TIJtKRYQDaGERVTDbqE6wXr7NRHmO/+Tkmqx/j4RHTW4nLFCE1jaoGcNwKYSVNb/JpegNHUIWO5RYBSBHlYOJ3AbDdKiEjzcPR30WXOrrWQEHJ0Cd2My5u3/MqbCMZ2UZ/6gU0JURrdA8xtY0NsUBYaSAaGvBlgXIA6dVoiT1A0OxghhE6Eg+TdxfYsMe5UPyefzjh5XClza3sjyhWFwibTf4JPQoeHgGjzacIVqepOhv0Jp+hhu9XmFRuMZ55g+XaDZYqV9FFgEPqMYreKjHRQmviCJPyCrqWZJ/xvE84tM+Tcab9g4bcCSoyy3rhMqYWZaN4FVOJsO5OsiX5BTSEjzEWBpZXwtBitKhDuNj+EBQ/QKPaf9/P6LgFABLhITLFEYLEyZTvEjQ76Es+ywJrVGtzBLU0GW8Gy86zi0OkRQ+rVY8+bxsLpYsgFCJGM+2hvf7n4pTpjh6hZLu8lft3FOrzxPRWDsT/IaY0710jGUL4xuskUVbxCYX/7T7j0wqfQtMSGHqMnuSTrBcu05V4lBlllAaSZK1pInozfeZhwmYz4UAXWxMvM5l9C0OL0RM6TJO2mYAeR1WC94ftaKCNZKifTannyRRH2Bv9MjYWbYGd/tbJybFeus1C5RLD4jBSerjCZaV6A4At0WdQhM507Qwxmpi3rtDktRDWGnFw6WCIqihT8JYwlQhXsn9BrjJFY2gLEo8u2YYmTEw9Qdzsoi/5LD3JJyk5y7TLViy3QE2UaZI9rBcu0xTaxkTpBNHQABezedasUVrEZmJGB3W3TKZ8G4sqIaORuez7rBUuEDDbMEWEycIHNBgDOMKmxAYD0SfYrBwmYaqkvWayji9xXi9c5oHwF5nMvoUjLVrUIRrNQWynQltkLxoKWRZJi26atM2URPleFpdOUAap2+sslC8RlDGKlbF7lDJoZysho4FFZ4T9yjEmlVt0BfazTW+n5mbJWbMUK2MUyqO+JDa3xqDqey23cgjLKdISHGalcpMmcwsBLUFEhlioVXg0+o9YFdN0JB6mMbSFBnOAXvUBXGmzXh2l7vlI7dPWazSGthANdJGr2ywp0zSLTZRqS1zM/Snz9cs+LlxMYGpRrPoyi7mTbNOOs0MM0xgYZHP0MzSHfB+O/92KMlvPEZZxHwBQ9IfvqEySDA9iCYuYjJAODjBkPk4y1M+t7I8Yr3xIVWZpN3aiopOtTeG4Ff5By+9jexUst0BL/JAPA4rsJMM8GiaF6jQDqReJmR3EtU5iZju2W6PsZf42bd6n9fe8Ph1ufg3lYhMNtGPLCq3hnaQCfXQYe9AUk7niabYkv0BJydMTeZCN4lUmsm+z5NwkW7pJlkUa7+W82F4Fz7PpSz5LtnSTrfojOF6VpN6LpkbvNW5pf9WeeIKhxMvknDlS0WGSZg+qYrIqpompbbiehaKY5Mt36Qg/4DenskJUNFGsjPFE6GUaY/sYNj9D2mukw4hS8lY5Ev82Q4mX2Z78Eo606IkdoyE0yMX8n1Ox10A6hITBau0W5foqk9m3aInswpU2+xO/w9bkKyyoM7SGd1L21lktXvabPq2HkIyxI/EVOr1BmpXNTOZ+4Wti4we4kv9LTBnA9qoUrAVS4c2UqpM0eS2UvXW2J79Eu9tJpjyKKjVUoTHIAzjSoiE4SJexj9X8OfZHvsyA3E7ZWqHPPEzWmsaTDgoqHi4la4kObSfLru/P6AofBCCmtBLXOmkzdhIUcTQliOdVySjLRLyoL5NQw7jSpiW4g1R02N+oJF7Gqi9zw36PRq8BW9bojR6lU26lVR/mfO47bFIPIKXHbuVRmmUfuhJCRecGN4mqOlPZd4iYLVTqG9iOfwOez/kP6MX8KYr1JTrCD2B5JTapBxhXbrBHHPTld9UrrJducyS4mVp9mahMYntVoqEB7mZ/yrXsdzmgP0ss2IUuQsRVk4iM0yISbI49w1a5g436OFcqPyXmxegNPYiHzXrhMm1GhIAMY4oI/fGncD2L4+ZTKMB09TRpYxMKCo5bo1zzdfIzxVPklXUMJULUS5KrTZMK9uPd2503xPbg4LBq3SEggwR13/D8V5kRpvPvE8RgPPMGK+6oL+FU43j3DPRH4t9mv3KMhNGFLSsoagghVAbCx+lLPksYPwTvNxsH2Bv4HMv5M7TqwzRHd7FevoWhRLhjf8SUe4FeOYwhfIrdkPk4Cn7eSlqJ0G3up9c4SF/gIRQUWhNHSISHaFB6yZXvkjZ1FBSmsu+gKCbRQDubvF5WyzfYJHeQdxcIaHGGxTZUdHLVGUxVYIoIda9EzOygVw6Tig7TGt5JXzhIg+pLSbLKKhGjCc+z6YofpTt6hFFxgQfMzzKsPc587gRZZZ3N3jB122/AUrKVxfJllt3bWLJEq+nnQ2Uo+nlRbhNdgf2kjE3kRYEVZZaG8BZ2ii2kiHLM3EOxMoahROjQ91Dz8qzmz5GpTdLl9bON7QzKTbiehSYCNIk4exP/kGx1EkXR6GYYTZjE1XYfAR59gPXaGIYIogmTrclXaI7soEfxG/qE0UXJWqJqzRNQ4nQmjzOg+VS/Lq+fdW+SpfI1NC3BHv0pksE+RjOvcYtxlnIfs+LcYSl3ilxliv3BLzCvTjGUfJmk3kuXstNHykeH6fKGOBT/Fgm9m6b4AQB6lb3MW1cYU8ZoVbcxrUyyVrjoS/a8Rj+rqHCRulNgw5u5n2e0LfEb9CSfpFJfY2/iG+TlMt2xo7SH91KXJdJekobYXn/jIEwMLcrH1k/QMVAEVIVFd/QIO+NfpFHpZ0huZkPOkA72E5IxHmrRORD7JgEtQUy0cDb3J0yKK6Sju+gPHCPuJQkbTaR0g3bRwAHlMJ3J41heiTYGmS+e5Uj4q5Sr0xSdFR6L/x6OtNBFiNZAgEHjYR41HuJ2yUe179I/w1TtlJ/No0Ro9dpZcW5jKBE0NcRw/BUGUy/Rpg2T0DqpeFmeTPwBQWmyS++j4C0xXT1NIuyDMNpDe5lWJtmd/DpjzifsNV8gHd1FiXVqbpaI0cxs/aJPClOKtMg+7tonuWW9x5x1CcezmM+dQFGCtER2slq+QdpLM6aM+88to5Wam2WxcplcfZa03k9rIMBG8SpRL0kTSZ9U6mbRtRCq0OgNxnDcKq2ygTBJtugP0x17hHVvipDeyL7EN+lPvkBf6CimiLIl+gxTuXcYy7zODnwc9IIyhuVKLGGxUbxKs+wjHOxhXJ5nMPUSOXuGG7m/AmBv6CV6vCFuydMERZwyWZq8FkpKni59HwERY2uwgUiwjy2hx1l0RjD0Bh6K/2NMVWCJGhvFq35Aq9xgv7qHglym6ni0a7toMAfoSDzMofi3SEWH2Rtt5JY7y1rhIivKIuXa/P1DJV2a7FeOURFVNkcjqEJBw/Q3fV6JlGzlSvGvaVO3YahhyvY6ZXudveYL/nNGP0xAVWn1eliTU7REdt/3yBatJVrdDvZpn7mHYW5gQRnjgneGAbmdNXecXH2WNXecR4zHCWgJpsU1etQG1qxRooEOtiZfYVVMs1t5hAVu+fel0jWKSpYGtc/PuAsN494jzgaUOEE9RSTQiichpfWQ0LsxlAjt6jCz2fewvQq6CNAZe5CZ4scUrHlqMk9ISWNqUQwR/DV3gn/Lkvz3SdI+haUBnw43v5bypEODsZm12iiOtFgt38IWFq506Ikd43b2VdbtcVxsgmYH2xK/wUbxKrqWYi77Kyy3SCToIyolHjOFk6Siw6yKecrWCnPF02yKPExDcDO69Ju/mpfHJEiLOkSlvkGcFmJqGx3eIBVvg0zpOooSZFviFX9j5FWxvBIaJkPJl8k5Fm3qNlbu5T28Z/2CpdwpP2RLLlNglYRou39a1RTbR90t40kbS7oMmY9j1ZfpSz5Lxd2gW25nTcwxXvoVjqyRqU8TEHGS4SEMESHjTDNe+wgPj3V1manaKVpiBwgpCUwlgkQy411ho3iV1uDO+6fPDVqQ5yMPMVn9mCllFFNPcCv7I/q0g+SUPOvWGGuV26x7k+xP/A5n8n/MrDJDY2Q7NhbuPTLVVPEEAI5bY7z2EZnSTcLBHrawiUJ1lqniCRwsxksfsFC9TL46i66lGM+84adWV/xQxpToZLl6nYCaBGDJHiEaGqDPPExEMajKLOv2OGfyf8yt7I9oiO3BEjX2BV9iRVljXt7A8kosli+jiwATnm+S7tJ20xbe4ydAM09DzG84G2J7iBqtzJbOkNJ6KIk8m71hlqQfOmg7vozpVPUuifAgRZFFVUxaAtuR0qE/9QLn7LeQuBTtRUqezVCggdPue1TJ0x4yieptxIPdBITBeOlX96AXGnecJZ96I3QMGURRNG6783xQ+b4v26veYDl/hvbIPobjr1BzcrhemZK7SpPsoahkaQ/tRRU6aWOTr4V3y4xkv8dW/REKSp58ZZS4TPFSYphD0W/wfv4PfdmWmqTb28xc9n0aI9tw3Colpcg1LiHxWMqdImg0s5o/R6tsoeAuciP7A0rVSc6tWSwp0wymXrofIBm7h+8d0h6hSdtMVdQousvsE4dYEZOEVZ1GtZ8TtdfYkNNcy32fmigxKk9TtJYo1mbJeDN0x48zXS2yVWu/1zAreNLm3eJ3aI/sp1ELs4m9lKxlLsuLKCi4Xo26K1mujhDRWljMnWRKjBDWmmj3BpgoVVh17jJVP4spQ+SqM9Sdgp9E7i7TIPq4Ky6xrvpY6U1eLx9Xf4gQGrezr7LCBE3hbZSsZWaz7zFZ+IA8y1yt/owz+T/mcvUnlNhAFTpdSiOtno/b/qD+Fh/Xf0rFcQEfbVxig4Ro9xPBa7OcyP97ZlhiknkqtVlK9jIjjLDALTaHjtMR9A9mQiQZzbzG9dLrLOQ+ojW4k2Y2ESHN7dyrLOQ/4Urxr0lFh5nOvksi0AP4kIOF3EnyygZVmeWG9OVuXZFDdEYPc672Gpow/Q2J18P25JfxpM1A6kUawlu44X6AJUtMV06zXL3OChM0GJvpVfeTV7LklHVUoVOsLVCXVW7Ufo6mGCS8JoIyRNnzAxj3Jb7Jify/B7iX3RVjnzjKaP0Eycg2VDTWa2NsjjyJIU0caTFT+JCMPUldVnkgHSGutZMKbWKX2E+/+SCNgS0oUmG8mmeOG+j3NjGTtY8JqAphpeF+TtB8GTRUH6YiqmxNvkKL2EymdJ055zJXrJ9he1VcKbGky7RcYS77PvnqLElidEQP8knpv95/Jk0od4iJFhRUPvKutUwAAQAASURBVKmPIPH4efVtHLdMKjrMJ/k/YovpS6wa6OKOuERYa6JR6ac/9Ii/Da/6hvmAjNAoerkrbvFR/j9y215iOX+GocDjKIpGXVZpcTtYql7jSvYvCGppZpQ7pPRe6rJKpb6B5RYI6w2Uq9N0iSYaiKGg0BM4xHb9cYRQ6U+9QPzedrc3+jDL6iJr1h0y9WkcaWEoEfpDj9Bt7GfFusVJ6ypN8QPEZISb4hoRrQVXWj55T9HYEhfsDD5LXlZJeA3Yos586Tz56gwSl1UxTcaeIuPNMFn4gByLtMYfJGC2cVWeR+JRdbMMxhU68UE8GbGEqvif2ZI1QtXOIqVDzpkhp6yzoM6wRRwi7qWZL51nTVnFkkXqVCl5a7xXO0OpOsm1/I8Ia43oWgQdjZ+XrlAV/nZwQHuQFAleXf9Xvu/J8w31RXeZhdxHnM3/ZzQlhKnAbP2i72FEZyDxDEmlk9HMa1TJc0meIqusE7qn0u3xBjiY+F1qTp679ZN0x46iSY1e4yBhvQEAHY2AGmfCPs11eZtT+T9iuXTVf725U0SNNoaNz7CqLJMhx+3sqzRHfJhBXLRQkRbBe8/GqNrCqu1nIekixJi3SNLsoVhb5E7+Daaz73LBfgfbqzJqfYiqBJgpn+ZO7rV7VD6/N7Hqy3jSJaX5B7jfX/8vrFg3qck8jrS4VXyTxtg+SvUVf1tbG0NVApSqk6yXbjOde5e6W2apcP7/y47u/zcl5X//z6f16XDzaykPj/nyBZoD28lZswSMJB4ucaOdpeo1epNPky2P+jSiYB8ZOUdH4mGEUEjHdvvmXLOLTGWCqrWEqSdIat0oQiUR2oQnLVac2xRsPyhPVWN0y+1cyf4FWTlHX+go63ISmyrLyjTL+TNI6TEQfYI1b5wt4SfpTT5NRG0i4kVZc8fpDIYossFM7j1ueR/Tog6xPfklJtxzhJUGHxvrjpPQOqm5eTKVCZqD22mM7eOa9yHz8gZDiZfRRYCE1s2KMssWuZW2yF4caVGqzpJ35ijW5pkpfEiHOoztlDBlgA1nklJ1EgWFvD3PfPYDdC1FQI3Tl3wWFR1DDWPoTcy7WX5S/BVNQT+zRBG6jxWVQTSp0WceJqDHKdvrjLunaYjtocFt8XGucpmhwOM0R3fRG32YseIvGYw8iaGG2R37Mkmzhwk5j6aGMPUkXd4QYbORzsA+UqFNaGqIQ/FvcSj+LY6Hf4tKfZ2MnCOopzBEECk9PxncWmTWvnj/etgoXr0fmClQmKqfZVa5zUj2e6wWr5KrTFG3VxnLvYmHR0v8EGO1jyi6y1StNUIiSVLr/t+vL2lj1ZepyjwlNtCFwhJjvnQx0EEqvJmoTFK2VojLFAM8wELlEkPJlxEoVKwV2rQdVO0stnR5t/oBB9XH/BPQgPCx3XaGPCU2R55kKXeKRHiQq7nvYcoAUZnClAEA6qJKZ+QAht7AUOBxgmYHU9l3mKmfx7LzxEN9rJX85PmsO8dk/pf0eFsJEMGTNk3mFnqSTwJwI/t9pPToUJNEdcm1+jukY7tRhEaMJjaUDXqST7Kc9+Wc17LfpVhfxPJKNMT8zejexDcoySqt6jYUoXMo/i1U4XtNsu6cb8TPnSSmtrGYO0lNqdLudZBX1klonVzlMu1yAF0RTJQ+YJ/xPKbw/69ZZ4Zt4kE6A/uIBXsAWLfGKIkyr2X/hLCSpit+lITWybPxf8RU9h1e2/hXZO8ZZaV0uVV8k7bIXhKmYL/xAk2yx79+lTj5+jzX7XeZUO4Q0tL+v+9NEjabGIo8Q742hyZM5uoXaWcrcS+Ngcavyt/1jdlumYDZxnr1LpZXojE0BEBP7Bg5a5bdgc8C0BweZqFwmqnCh0zKJa7V36E/9QLH9GfYoz/Fkl2iJX6I6ezPmcq+Q9JL0Rd8iFR0mCPxb5NnmbjnNyzZ0k1y9gyWW+B26W1GM6+xImbJyUWeSvwB8VAPncnHsGWFS7k/Y7TwDtsTX0JKh774cVJ6H4/G/5nvKRQKy7UbBMxWKjJLQMRpUYfYH/sa49k3kbikgv3+9WnNc8Z+m2avkRZ9G2OZ16l7JSJ6C3PZ99kcOo5lbxATLZS9DeqiTpds427hF+QdXzq7UbqB49bo0PewKqZZFpMMyF0MJV/mRvVtwsEeOhIPowiN9eJ1Tlo/xnbLSOmx4t2lK7Cfu6X3WFMXaFL6iYf66Nb20Sd2c2JjnZwzhysdFARXsn/BTP5DLFEjLoKU7XVUdGJelC3mcVIBja80DGGKKB4eE8U6FVHB9SwCMsK6N0Wv0oyhN5EpjlB3CuzUnmDUXSSu6aS9JNHQAM2RYc7Zb9Esu+iLH6ctcdTfQMp2lp2b3M3+lJTXQkiG2Kwcpi/xBI5XRyJZFdOE9QYqokhYSaNhIvEYyX6PpuAQtlvhVuEN1uWkL7OS7USCfTTIFNsTX6IqyihCp2QtsaGs4Xp1/3CmOk7VzdLktvuyMWuRQnWapdwp/14nZ7jKORJGF2Pl91lSJoirbZS9dbKlm+wRB5ivXiTupdmjfYZuYz9N6mYK1gI1UWIk90MiejOT2beIqS1URJV2b4AW2UdM8z1aphrjRtbDxsYSFrawyeLTGePBbtrYQtXNUqmvk6vNEDQbfcIpCqlgPy0MsO5NktJ6+C9rZxECanaOqdw7DOgP4kkHKT36Qkf98Go1ze3sqyxWr7CszuPhEQk0s+aOU3Y3yEn/mhEo/nYq9gDd3hb/eaYYDIttGDJIKNDF+dx3WBarKMLf6odkiI3iVQrVeSKhfrqTT1Bzcrya/5gB/UHmcycosIoqNUbzbzKYeomVyk1qTg5LFrlbsKhIiyVlgaqokjR7aAvsRBEqGbHEaPV9etlNoTxKRVT90FhrBVfavuQxdgxbVmiI7SEgYkxwiRavlUu5PyMU6GK5eAVHWmiYnMr/EfP5k5SsJSazb5FX8sRFCxHSZJhnLvc+iVAvXfGj7Ex+DdurkindZLv5BLZbwvMcQEFXQuTKt31UdepFarJA1p2jamc4Fv4Ke7TPULAWiIsW4qEeNin7KFUnsb0K1foKqmIQCw+yPfoCbfEjaIpBe/zw32nf93ddn3pu/nb16XDza6i4aKFWX0YRKl2B/RhqmKwzQ11WfV2qLCG9GnPZ91kuXCBbnUQIla7oEUJqmrXaKEElSSq0iaboHqq1OWxZwZE1VKHRH38KTfEzTbq8ftpjB5gUVxhIvYgmTHJykaBIslEdo+Su0pY4ymDqJWaqZ/2bB/PknTly9gwxEWJAHGSxVqPL6+fh2LcJqveC17xJVMUk7vmN1lrhIro0iWvtOG4RgcJa4SKPGE+xWxxh3Zuiy+um4m1wWN/JpDKNi0PJXqEhuoM+9SAho5GA0cgG80QDHVwp/hCBgqE3UfMKfmJyqJ/+yKM0yR5K3hrj+Z+TKd0kZKTp0pLsV476umSv5g8mxjOcLf0FOjqT1mm2qMdImj3kSnfQhElByVOTebLWNJdyf0ZKdOLhsjPyeeqi6nsaxDwLuY+okKdqzVOsjDHGBXLlUW5nX2WtdJP+0CPMiVtcs97iV6U/p2rN83zkGHvU41S8HG3hPTTG9pEIDTCoPcQk89ScHInwEKtlv8HPVSbZZBwmW5viSPzbdMcfwZN14qFBwoEudhgdFKwFmgJbKVur2E6G0cxrJL0mWhNH/DBNoTOQepGivUiMJn6e+zfsEQfp0HZiqjHWChcJySC7wp9nRcxyKv9H9+lRjrTYFHuMnFzwtc/KOCuFc9wRoySMLm5l6z7dTA0w6V2gJvzBoWbnGUq8xMXcn5JnjRUxiZQeVZlns7fZlymINOlgP4Opl9isH8X1aihCpyv2ILet91CFRjqynRvuB0yWT1Kzc4xn3iBEkuu1dwgFuxlIvUjd86g4gofMz5HQOlkrXGSz0kmz18h88Ryx8CCeV2cw9RK7tCeJq20YSoRuYz+Xc3/Omfwfs+ze9uUcygS9UYPdya+joLBRvOpLb/C/P1dz3+Wj8n9luvARU4UPmc2+x7ncd/hp4S+JBFpZV9ZokP6WZ6N43T+pzr7qU5aESdLs4W79JP3Rx3CwKLsb5J0F3i58h+HkVzgW/yfomITNJjrlVrZEnyFXn8VUBBfst7BFnZbgMHGvAcet0mnupej6GF/LKVJxMkTURq5lv8tw8BlcbHQ1zDJjrIk5qsJCUwMMKg8BfghuW2gPTUo/Eo+dya+xWL2C7Za5XP0JpuH72nbEXmZn5PPo0vDJZDLCOe80F+s/o6T4RLJNqedpiO3hXOWvma1fJKSm0dFolF0sKpMEzDb2Jr5B2ugnpfcRMNIkwkPEaCQlOlklS1RtQUEhShPR0ABN0WFWvLt+mKPXQN5Z4Kz143sBqrsoVsZIBwf8zYg1xs3cX3M29yfsSHyJ5coIjaKXSLCPSLCPo8bzXHLfxRE2ht7AeuEylleiKX6APMukI9tp8VrJW7M4WLhIhmLPEdfaURSNcKCDVGgTVVGg1xuiUJ8nLEzu5F7zM8iETgsDRNQm2uOH2Wc8T0toGEOLEVBiLNav+aGAMsaic5296hNczX2POBEGgyl6lL0ElBiX5Tkeiv9jwoEOIjJKVNep1X0cd0gYWKJG3nI5u2axZI0wkv0eh5sM8so6TcYQd4pvk6tM8FH9F2wNP0VP8kmGos/hIalTZcJZZVlZwXbLLBevsE07zqKYYCzzOou5k3QYu7FF/R4xMMKsvM64uMy54p+hS5MB/UGioQEGvZ0s5U75A6p1i6nsO9zI/oDtyS8RoYFksJfu2FFUdJZL16iJCkfMzzEhRv0ByGtho3CFSm2WFq+V/tAjGGqYsNFEWE0zwSVaNT8WQFV8Mli2OkUfXSSEP4SEzUYWS1fuS+ha4oe4Je7wgPFZYjJMRVTJyjmWnZv3MsVGaIr5Eq9j8X/CZPYdVsU8C8oYHWoSU0QByFanKDoOa2KWSfcsG8Lf3LXo22hS+rlS+P49+WGWhuBmBvQHqVmLrJZv0MoAy4yxWxxBlyaPmgcYkzO4Xp3DsW+REUvEtQ7CegMrzh1sp0S33E40NEB/4Bg5Z46KKGIoEQAfqiL6Ga98SJoO2mIHiIsWPin8Z+JGO7fFXX5e/At0TEJGA8IfgXgo9o/oTT7NqrqErqVoieykXJtnNn+SiN7Mi9GHECgEzDZ/0JdxOuIPokqNgB4nbfQTpwVDUSgoBRxhUxH+RtjFZocYQhU6jltjQRlDIJjwLtIY24fjFtghhrHcAll7BhWdTnUnY5nXWc2fY1lZIhYepO4U2Bp9DturUsSH97TFDhENtNObfJoF7xZZb44ia3R5Q3wm/nvkKlMkaeNO+V2Ceoqd8S8yLa/5GOvQJnQtRcXZoCv5+P3BZrXkZ8nV6mtck59w2fkFMbMdgExxhDH3rB+EXhkjFR4ioCcoVWe5lv8R87kTWE6RnDX762oB/27qU1ra36o+HW5+DTWa+zGKYrJRH2fFuUOj2o/lFNko3SZTHKHqbCCRNMb2kY5sI2gkyVmzVLwsMZrwPMdHLOfPAtCRfBRHWkxn36VJ9JN3F2hWNtNkbmFrNIohfM+GLk2WytcAKHlrWPYGx/TH6WIrdVlhKPC4bxIVMRyvzm71CXYmfd3py10BOswwa8o6e8QBmr02hFDYzmHGnE9YLvrJziU2UNE5EP06BXcRIRS6oxo7U0FW8+dwpceTwUepex47lQGWi1ewvSqtyham3AtE9GbSgQEcaSGEguuWcbwq4N0PPB0yHmWvsYmSkqfuFGiLHSRgNBMzOvhp/k+peDatiSOkI0O+Z0lcQ9fiPBBtJGn20KhEafcG2Bf/B6wWL/NyYw9LuVM8EniZaGiA24U32acOscVoQpEKx83PMJN7j8b4frayFVWN8Xji99nBEaKhTQwnv8LhyNcY1jt5NvIQldosx8K/BfgEnillnAall7niadYKF+nSdhMljI5BkzHEI+YLaGqAjsTDhM1mBtQWomYr6+oyD6g78bwquhqm33yQsuMyFHicirdBc2gbqhqjIbaHOW5guQUGlYdYL99ioXIJx6uzS+/hi03/kj3pAEcjXVSdDRpj+9gSjaJKlansO+xLfJNybZam4BCaMJmvXmS1fINaPYuDxT9q/585ag7zoL6P5qCOh0eu5F+3Ca+JJnUzmhr0EbtqmDiNVJwNGozNxGiiPWRS8wqsywJrlTsEZJg4/oN8o3iVqew7lKvTJEQ7+eoMQS3NvuBLhIxGYuFBxku/oi/4EOXqNGvWHWK6Rk/YxZYe45k3eDrxz+mJ6ERVg02xx2gwBuiJHaPL66YmarjSpoMh7lbeJx3bTUfiYSy3yEDqRaaz75I0oEGmWClcYDD1ErZTIif90/vfbvuXqGqAw+EvEzFbMfQmPpP4fV5KfI1ubR+PRvtoJA6AooQYSL1IT/JJOhIPs0XuYbM3zHb9cVq9dmyvAsADyiO8kvofMKTBrDJOgTXK1irLyjTz9mUiejPzZY9iZey+9ygiw37Cu3OTbeJB8so67eG9VKwVkrSxL/FNrpZ/zG4OoyshhtnHWu0Ol0t/TXtoL8vKNNHQAD3JJ1GEynz9Mik66BOtNAe20x0+zPbQMzwe/iqF+jzX8j/kUu7PmPYu+QOQc52D6mH2GM/h4LBYuUzB9fGrHZH9NJtbcbFp0IIMGS1MZd9hIHScXrWJydwvCcsECaOLiN5MUAYpsY4nPArOIlGa6BNt9JmHOaofY4gDGGqYFTFJrjLJscDLmHoCQ4nQFD9AxdlgQG6nWBnjQPwf0pY4yrXsd3HdGmPVD4kYzcTMDh5qMdikHabqZWmL7OXR+D9jo3SDuNpGlCbMe81kuToNwFA8yF6zhwavlbDRzID+IKX6CjlnDoFC3S1TlDXa40cx9TiN5iB37ZMYIkScFp5oifKw+QAxtYWtcgcP6E/7fiE26FMPkqeEEDpn7DdZqtXIK+tU3A1ejD5Eqx7hoPE8ARlgOKlSt1eZqH7E421BTBngmjNJWNNIGT0oQkcRMJ55g7qs0BZ9ANvJ8KXkc0zUTxOhgX7RTlIJsVvv55kGv6nbHnzGv6cKl3bPD9nsSvoBs9ey32UbDzAUfY7HzEexvSr/pPNfUCXPEmOYWpRf5f8dvcmnMfQmSpVJWhNH/O+7l+Rm9odkKmPUZcnfLgSacbHZHA1SkwXaEkc5kf/3SCRDyZfZkYhwt/weEbWRqp2h5hVYzp9htn6RjJwjEmim7K3TFt5Db8SkyWthsXSJR41n7/3ZBovFC/SInexRtjKrjNMTDpFV1mlhAFON0axtwXYr7BRHMAkxEI7RlXiUHm+A1cpNAqrCav02A6kXeSj4m7QEdSQeMa2NZyN7eSZ0lABh0l6altgBGmP72BV9hYXcR1wvvY4QCg+GvsKl3J+xXz3IstigTJbVmsUefRN1p8CqukCENPOls+hKCNur0ht9GEtYbNcfx5QBmtVBbmV/REhJk9A6yTozBGWQWKCTgBckqCS5nX0VpEun3Eq/t4mvNv42Nr6kqzP5GI1emgV1hm5vMw1uC0JodHtb2JT4DD3x476JPyEpKln6Q4/QoPRRESVMEWHOukS2dBNX2mhSoyOsUxNlOt0eHGkRU1tIeS1UXd/LmAj1EhRxWhKHWS9eZq1wkcbYXhKGxj71MbYqDxEVTZREjrbEUTqTx9mi9FCqTNIVfZAM8zRpm9mj7KYr+TiL+VP06PvJ1qcIKDEMJYKKxqn8H7FKFk0NcLf2IZ2RA+xWHqFLNPF44FF/M6TEiAU72CheRUFhvnyB+ewHCBRK1hKmnmaveAghfFlnWMaJhfqJas0kQn10Rx+iRR1CETohs5Wu+FGioQGiRit1p/R33Pn93danm5u/XX063PwayjRacd0yxdoCheosE6UTGGoYTQ2Rju66n+K7VriIqUQQ+CLYleIlyvgnes1uJ0IxfJqYrLFL7Mc0Woh4UXK1GWbq5+lxN/Hna3/GUvUauggxWvADPbvYyiPGcXQtTkNQ42zuT8jWp1gV08RlirHM62wyDjOrTqIrgnV1CcsTrNUtpq2zbEuadJhhdBHCwqbultkbedk3+8seCt4SM+IGdbdMf/IFVioePWGJoTexpCyQtRxSAY1pJ0M81EN/4Bg3Cq/xWOBp5nMnCJOkjUEypduoaphibYHe6MOYIoIQChPuOfJ1hya3lZDe6COJgwOESVK315lRp3yktFMgFR0mqjRRsxbZnpAYIkTK1EmIEJeKf0UyPMSFNX8bsS4L9JgHAZc3Sz+iI6KQl8sMxDR/u5I/R9arsD/yZcbFbYQQtBs7maqd4nz1b+gIq1Qdj87kcS46P2co+TJpE3q9flR0emLHALiW/yETYpRjsQ7uZn5MzXOo1TNskXsI6Y2cdS9Sqq8yVTzJh/X36Et8hpqTpyRyJAyNJ1LtONJiqXyN5ugumtTNbJZ7qTtltodTOG6RkNFAsTJGQBOENIWL61W+n/0JSb2XfrGf2VKNA4k0rYkjbIgFGqK7WKuNEpIxhszHSYUGiASaGZI7GSnmACg7LrbnI5d3x7+KJzwmnNNEZBzLzpKW7fTFn8DD42up58jcC6Ccr9Sw3RJ5kSEd2kzaSzEmbqAIjVRkB62JIzTG9rHmjpMKbWK1dJ2Ckmej5BOUHgi9wo3sDziY+F1CeiNTVh5NwF1lhL7ks1yUJ/l5YZSIruJiYxLClKH737fV2i3O575D1ZpnvXCZqpujy9iHKUMoSpDRvMuyWEVTYyzWrpEMD6CiM5h6iULdIxbo5FT5L6naWfojj7Io1vjeyv+DkBcmU/NYFr4Pw/MquNKm4CyiCB1VKJREhWlxjUnlFimlG1danLbf4lfWB0w6Z+mXQxgiRN3Jkq3779dmuZuC7dAUP8BU7RTz5QuA7/PIFEfIKFnyzgINXiu7Il8gzxobYoGOyEGWxDqWWyCoanw2+ps8Hf0dql4WW1bwpM1i6QortVu0Gj5trTWkM1P4EA+XjFgi61X8A4bI8H2E8qR1mojWgiYEKir9op1YwKf8Verr7FGGyTozrBQuUvNcFq0Kncnj1EWV1zb+FYei38DDY6FwjphoISADPv3MC1J3y6S9NB9ZPyMog/y88mM+yv9HEno3IZH0N1myQldgP4u5k+zgCA16P5fcXzKUfJlmJc5WuY++5LO0Rx+gIThIsb7EYu4krgdhGSQpOqnLKufqr7M7+kX2qEPURImV0ghjynW6ko/T7LUR0QRxQ8FDkqtM3c/VaFGHOJH/97SH9hIVARSh02oOU5MFAlqCiswiUBiOW7xb+5DxzBtsigZoDwSxZImp7DvklFUejDfxSsM/43eaXmZWzJJz5pDS4z/N/a+8V/sZRcpEFIPFCqhqjJ3ms0yXoKBkeCjUz0n7I6az79ISP8SGBbHwIDH83JU98a8zXqjhuFXm65c5633MktxgxioQ1iST1Y+Z9i7REN5Kk4hTU6o8HP+nhEmS9hppiR9iS9T/zlRcl+3iKFdzPrGxgyG6ld18Lv0/ESBCItTL7vhXSYseVCVISSnyQOK3aY/sJ19fuHc9lwnLOK8XP+aweoSSvUJb4qh/sECF1arLcOg5WmQvldoshhLhYOJ3aTAGqLlZTDVGqb7KdO6XzJbrJNUA6fAgV+UtAmqSrfg5RDY2I+4ERXeZuUqN/fogC9xiKXeKseIvaQ3vpCArOMKmOahwzNyHKhQeC32ZqK5Qs/OMZV7nbP1nVBzJXPZ94rRwu1BmoWJxu/IuYWGyVe6jW9mNjs6m1PN40mJP/OskNJP+1AuUXYcsiwgU0qbBYEIhZDYzKAcIyzDD4RdYyH9CRG9GlRoxGcEWNj1aihav2YdoeF3sU4fIlkfRpY4mTFzhMlM8RTKyjYDZzrq6xHul/xdXKktUyDKXfZ/16igAXW4fRVEkJExUxcASdSQeeWceIRRsD4bFAKYMcDP3V9zI/oCxzOu4noUQGjEa2R1qpWRLmtxW2swQM3k/ZHNnqBFVKARljKqdoeAtYXtVpPSIhQdRUPhl7QTLYo2z5R+w7k5SdJcp2SusVW6z4pToSTxJ0V2m4mz4hwWeR5vcRENsDwveLZrNbexiD1lrmpXKTR5P/D55ZZ1UoI9ydZq6rBBRdN7M/js2rDqV+joLxQv3//+OtKha8360ReyYfwhYm6UqHbaoxxjPvMGUe4FCZZyCs0jVzlD2Nnz5d/4cXYH9mCJKsTJGXG3Hcf9+Dzef1t+uPh1ufg3leXUS4SGktPGkQ1N4K5nSDd8grrVhOUVKtSUMvYmys0amdB1dDdAc3YstK6iKwRXrZ7TFDrFavEq+NocqBEE9SUkpEjLSNJlbuOS+y1DoSTqC+8jZMwSNZgxpcDb3JxTs+v+uuU8+ia6GUdGYltcImG1cyf4FeWcBQ5FoUkcXcMF9l736M2TrkoLtkKQNE50dxtM0CD/jJinjbJRHeSZ0lFJlElfaXLNn+f3x7zMUeYqwjDPDMgEVlsQ4uhLkWva77I5+kZP2R3QkHuZ29lVuVN/moeg36Ys/wZboM6xY/smSlB4pvZc1r8jp0nfxpM2d7N8QEklycoGnE/8cXZq0Jo6wWT9KtZ4l7y5wMPG7RDWXVesOv6i+z4yY52Dkq3RoOxlMGISUNFllnRyLpCPb2Wc8z3czH2B7FTQFirUFn9IUTNBjJJgvnkVKSYPXTN0pMRx6jowlOVW/Qb4+zzHzeQDGCx6rYp2J6kdMZH6GpiVIhoeIkmaqWGdb8ouoQkERGiVRoZUBjur7iRvtDEWeYpOyj6n8h74MLvM6WcvhJ7lbALhejZXiVW5lf8RH+f/IZ0K/wZXKClviL7JRvEpb4ijPttt8d/WP2RIP+FlH2bc4k/9jorrOJ/llstUpZnLvUXf8Rm3euca10o/9odmrMyfmiYoANdfjgneW/7r8v7GUO4UnPHRpsl19lAn3HA3hrXSpaZJeE3fK7/KHM/8b2fIoAoWcrLBVfYS4TNHBEKvKKh4eIaMRVTFR0f3TWzvHUu4UvbFHGMl+j/bYYbqMfVytv+W/l955FnMn6TJiXM76xvw9yjDl+gpRmURK38y85o4T95Jck59QFmVK1UkaYnvue3c6tJ0s2Fe5U3ybcKCDGavAVO0U0WA7EaOJkrVEzSvQ4rZhqIKk2snD4X9A2Gxk1b1LNy08n/wfWVKmEQJ6lWb6ks+yJ/41lqvXMdUYYZK8m/s3zDCCLkKsVm9TF1VfnqUlaFY2ky/fZUzcYMkaIWg0E9GbOaI/g41D1XWIq230BA6hq2FmlFEyYon+1AuYMsBWcZjL5de4mPtTQsR9rT1xukQTm9QD1Fx/yLjCRTbL3SwWzhA3u3C9sp/X445Tp0rFkXTHHmHFukXVy3LL/RBdhFgrXGQ+dwJNmFTra5SdNUqOw8X6z/jQegNVaGTKo7SEduAhCapJmqJ7CKkqW6IR5rMfUPRW2Zf4JnflWVxsXLfAnfzrXHPfYzb7HmklgqYYVESVndrjTMtrtBs7+XLT/+wPyl4PN7LfZ0WZRUH1QyNFhT6vB1ONMZp/g1W3iI1DiDiLpSu0yU2E9AaE0FiuQYsRIccivXIHz4R/k81GI1P2BjVZwHGytMp+2r0BbBx+sbFE1ZEkiXI09GXK3jpbzOPM1i/63hB7ijmxzELhHIYMUnU2cLwKpoiQlXNcyATYxSF6k0/zq9IorpRI6dGaOMJ45g3+a+annKh/gqkIquTJlG8T0tI8lfgDSrUlFsQYrUGDiA6bY5/hhv0eHxVn0aSO5YIpIiiKSUhJUrTBUMPcLr3NcOKL3Kq+i64oxAOdKIqGKx1/WFXWydUFT4e/RFrzwy7HxCQ2dVaVZdq9DuaVCQbYx0SxRlCGWHPKWNTZUDZQhcnF/J9zKfdnTHhLOMImprYw410hJCM0R3aS9lJcyP0XprLvUKyMMZX/kC3mcTbpjQBc9kaIGx2slq6Try/QINvZkVSZldc5m/sTepNPs1y6wrS8xmzxE//7ozSgKQZBs42wplLybMJKA7o0qTobTCgjWFS4Uvg+t7OvoishSrLGdK1Ai9hMKNCFqgbI2/MoKKzX7/KXmVO8VX6bUXGdSWYp1D1aQjtoiO2hJbCdZatGwGxjqn6WGdX/rB23wpSY4Zz9JhtigayyTtaeoT/+FHPyBhmnhiddNsjT6W3Gw2a2VuT0apWWwHY+qb/JmHsWFY1NiadZKV5lonyCD/J/yOFYC9NOhhucYbTwDiWliAcEjWYfYFJfIiJDDEWeolCdxvXqNLitPBH5JioaIZK0JY4SD3TSGw6xoM5xKfdn/pBstnC1/DpT+V8hcdme+BI1T3DaPUVJybM3/g1UNUzAbCNmtrM5+Vlqoszp6jgl2+VLXXE+sS/yUPR3SHhNTJTLxHSNMlnCegNVO0NAidGfeoFSdRZHWhzVj6FJDVNPEFbTeHhYdp6atci6usx0/n0q9jobxausueMUvRrXqm/RoPRiiCApt4kZlkmbffSEDtNsBPhcfIdPEr1HXhuTc/xf+/8vlKVFX/Ah+mKPki3dpCNxjKToJBnZ5udy2VOUlDyJ8BCdgTAJESIRHkJXgiQiWzDVGLZTomSvsDv5dfpTL3A7+9eMZl7D0Bsoeqv0x578P7Mt/D9cnwIF/nb16XDza6i2yF4sp4iUDttjL1J1cyTCg1S9LEFiWPYG/dHHqNurtOu7EKhkiiPkrVlfBxwcpik4xHzuBK5bpjO0n9aQ4T/QmCet97NcHeGFyIsEPP+mYaoxdhvPYIkaR+LfpiLrlJ1VDAUiNLBWuIhAJaSkqVmL7Ex+jU3KPvJ12GcM8K/mL/Cg9jQuLlXHI+tVSHpJztT+hogIkvUqdCu76QqF2BX+PLbnG9sdLB4K9/C/9vohhhIPG4upYp3tcjf52hyDqZdoJE4bW0iIdjoSD1OzFllQZ0h7zdjCQlVMqjKLQNDmdpJT1okFOzGUCEIJYMsaApXz3vtEZBxdhHBxUBSNiNrELLeoeQp7tKdQhE6P7GRSXEFBYans0SDbqcisb2Qsj1ITNaT0WCtc5OSqT2KrOBtYrsctZ4HW6F6yIo8tbLqjR+hRG+iOCABCWor3q3/DujvJas0iyyINwUE6ko/SFn2A7cpRljxfXrXoXOcWt7CdDMtiijl5g7rnsVa5ww6jAxubXdEvANzL3XEoe+sIFKKBdnQtwpH4txlMvcRVeYvtgWZuZX9ER+IRKvYaH6wYGHqMjCVJat2kosMMJV8GYEVM8kDg82xKPktE91O0wTeYb5THqNU3WKxf4yrn6ItqBJQ4+xO/w2DqJSyq1ESJO/IMEpfF3EkaAxoZZZmDwZd5IPHbtMX8zcOK4vt6VsU8JZGnU7bS5227H5yWFt10BvaRDPQSNDuwZQVDb0BB4VbuVQ4ZnyMd3UWLOkQiPMS6bRHTBTWvwKg3T9hoZijQgKYIcnIByylSE1WG8H9/b/JpX1LkrNCbfJpr2e+SLd3kwfBv0RLYzoXKj2gN7iSitVCqrxIxW4mqLZyrvYahCKJekmvyJM3aEK3qNhzpsSrzTGbfQlcEd7xpUrIVgM7QfkwRYdW5y9bkKxxRjxImSbU2B8BM4WOW82cwZYBtiVfo8YZ4Nvx5tptPIITKNAs4uAzEgoxlXudm9ofUnSJPhh5gzRola89giRohYdAc2cmTiT/gTvFtYuFBAO4wwaqYZlsyQIMeYNDbSUIzGUg8h4JCLNiDIYLE1DYcYRPQBFl7ikP6c2znEI+Yz7FQukg42IOmJXx0eniIYm2euK4zEDhG0uilbK/TFNlB0V2m6Nq0yn4iahOe9KWYjyV+j10cYH+kBU861EWV/YnfQQiNHn0/h+LfIqppCKFQESWuOO+SVDqJyxQ526YmKqhCYVfyt/zcKucmxfoicSI4SNKihwPRb7Azmr7nS6mQDg9wpfJTVKETDw0wVaxTdhxSdHCh8iMW7CJ362usiwXfwB7bR7+RZl4ZJaOs8lxjC2FdcEtc4Vf5f4cpIuSUVUJairDegOUUaPQacF1/GA5oCXYox+lxN2GICDeydVbJkrNn6JXd5OsOudoMS7lTDKZeIqSmiYsWbmbrRGigObqX9coo7aEAR8JfJU4LS9U6SxWPdXeSqNFKNy0IFD6p+1k5mxJPo0sTBQiqSY6Hf4tZ+yLt4b1k3ApBkaRaz7JRuu37LWU7IU1S9zwsWSRJGx4uPbSz6t7FxqHsbWCik6HIlHeJDWWNvJIh7aUxlQgDyRdQhM7+YCdVL8uqdYceZS+LjJKtTfFB/g95IPHbJMJDNMb20RV7kHH7Ey67t3Gxafa60AnSGT2MKjR0qWNLyFUm2J78Ejl7Bter+gAbs5W06PEJn3aenuBhrtqTZMiR8lrYrfcjpUdIJJF49MQfpzG2D0/atOtRkkoIRSoMBo+TCHQT1dtQEDQZQ7wcP4yhhu8T5s4518nZMyS0TsreBktimf7QI+zW/Ka2X7SjqxE0fO/cfPEso5nXcD2L8fzPUVAwhcZ6fYwkMT7O/ycfaays0hf1oxS6Dd9TWxRZJJ5PO1ND7Ex+DVfCrLzOcv4M22MvMlM/z3nnKlGzlT6tAdez+KTyPRbdm4CK4+bRUCnKGiPVt1lx7pAW3QhUDFXQ5/WgqjHGvfNsFK8RDbTRFTtGoTrHjdxfEVQly4VzrNZvU1SypMJDNIW2sZw/Q4PbQkhGSXoN3HbnuZ4VRGniVPkvWRezxFWT885NFsoXaVW2oKlBKu4GWXuGgcQz9/OdKqLIFtOH49ScHPFgN6bRwpo9yv7Y12gObKcv+Sy64ssEHw6+giscVsu3mBE3mLUvEiLJUn2EtrDCZMFhgkuslW7S6w1xI/sDCnXJgVQcUwZIeg0MJ7/CXPZ9RkvvYjlFblTfJqX3kvQaiBkdWK5HlhKqYtKsbMZy/Oe54+QplEeZc6+RtWdoiPnoeUOLsVa6wWzl3K+nAfy7Kk/89/98Wp8ON7+Omsn98h7pw7qPH+7S9xFVW6hSIB3ZxrrrnzZn5Bzp6E4aY/uIGq1U6mtM5T8kb8/TGNvnS1eKJ8haLi2B7TTQhSMt/lHLl1iq1WjVYtSFhSMt1pUVBApnin/KpHITQ4nw89INLFHxwwc9H686nPwKi+5N4kS4kMvxZuknDMlhFuQ64+Iytie55X3MurKGroXRECSVEEuMMVrJcct6jxPWBZ5O/HM8aVO0PX64uEzCi7PIHR+RGzE4Zb9JxGyl6K0ygk8PW3JuMp87QTq6CxWdu+4pKjKLIjQ2ymM0xPYyygVqlGgyhvyAP6/KfOk86+Vb7BIPMy2vUnE3uF56nbjZxVT+QwrWPJm6wri4yjD7kUiCIkmWRTL1OlfLr7ObfdzJ/YRNsceYltcQQvHTllWDlsguJC5/vf6v2aS0EiZJq0hzofg9lqrXmHUzLFUg7yyQUrrZaTxNWE1jSw9TRAiKOJnaBI60KChFAkqMsuOyQznOs9HdgI/H3cohDEXBqi+jCMiKFW5Wf05jbB8TlY9oCpj0Sl9SpComdTvLhcqr1GWFg9p2rlm+V6Tm5mkwN1N1JJ7nYKqwXr9LXOskKpO4nuS4eQhb2FiyRFQ0gVAo1ubZziC2k2FT5FG6jf2ElCQXNioYMsj53HeYKp4g6TXQ6/WzSznG08Hn0bUUZVuyat0hoQYpiizzuROUqpNk7Sl6k08Tp5GZ2lkKssZH+f9AS/wQca2dG4XXsfD9KO3hvb5ROLIbTQTQ9TRpI0CxtsiKO0rU8JuVj9dzNKmbUVAo1OZ4vfgaC7UqJXsFT9pcKfyQqBLA0MK42ET0Ztq0YTbqE7yY+p8wjRaSaoB+bxOHQl/05WT1ecq1eQCqXpa+0FHOVKcIygCNaj/z1hWmrbPsTAVRpZ84/1blPXRMGokz5Z5nLPc2IZJ0abuZrp5ma1InLOM8lfgDtrGFI+Gvko7uwhZ1Vry7xFUTV8KEd5EOb5BhrRsTg+v5IrqW4kDidxgIH2eiVKHT3Muw8jAaGkFV40HtANPKNI6TI21sYqz8PnvUzbR7A/x17iwf1t9jWVmh4NSJeHGy1jSudKi4G/4hg6wQ1aHB2MxF91foQmHMW2Aw8iSqYrIv8goD4iC64tMBK65LRRQ5HtxDwuiiYq+hCB1TqKyLBWpenoxT42R+mXFxm+tcYMNy/fBab52KKNF1T5pZVPK0hlQS9yh/tlPGokJABphgGlMGuCzPUhFFAjJMVGumUJ0krunMizlsYbGmLnC5tIqHf20v5U6RDm3G9nwIyKaoQcmrE5RBbCfHgjKGxKNJdrBXeZQGpY/R+gqtsp9l+yan16ps1Dza5QD9qRfYp+xhuvARG+VRf+g1mrnFWRLhISq1OZpEP1edd/332F2kPaTTTIoGYzNFWePtwn8mEejmsfjvUZcVal6BuEwR1lRsYbGYO0lv6EGCqqBJD5JnmYSu8+P891CFTkp0siDX0TF5KryDAXrRpM7t7KtcLmSR0mVGzBPQEoxn3qBRC7NmjRLQ4+yN/iYADbqJAFKm75XLs8ywGOQal2hVtzGl3CakJFhR1ojck3I2ek3YwmJJnWe5dBVDBtH1NEvVOsulq5Rr84xU3qSFAYRQSYSHOJ/7DrnybTZKNyl7GySNXpJeE0nRyQSXcLCYLXyCqpjc9j7iRtYlHuxh3ZtECIVUeIicM0ebsZM8fmRAQ2iQJXuEF5KbWWGCu/ZJ5qwimhpkk9eLxGW2+AmNaj/Z6hS33Fkqnk1ABllnlmZlM7PZ97gjzzCWe5Oliss2eQCJi0DhsL7z/nu3Ve7jaLiPu6X3cPC30me9j+kPPULMi6NhYjsZnyKqN+O6ZbZziHdz/4YOYzcVaXEo/i0MLUaNEj8vXaFBdrHo3mQ7B/GExyZvgI7wA/QEDpFlkUvFNbZykH2Jb9Lopeky9qEK/d792yMV6MNxy2yUbrI99iId8aM0axGSSohE0A/8dLA4pj9I1ZHY0mMo9hy7lUdIR3cSVBNM537JQPSJe9AB2Bf7LcqWj0BWhe4b/5PHsYTFsrzLQ+kkTyV6GIpLlt3b7Ip8gUx9miUvxxFjO+nQZmJelGx5lLDWRN0tA1C21ynYdUbz/oarz9tKsTJBu7KVaKCNw9pTrCtLwD2/r1ugbHuMKxNUZJbh8HMMs59N2mGyco7D+rMoAh5uVUmqnRwJf5U1ZZXnk/8jFRfG8jaGNBmxfkFdVNG0BAEjSXNwOw8GXvF7GVFF4mGqCh1qkqCaYFWO0x04SFr0IJSgr/RQgmRK14neCwkP6in2hV+hObTt77bx+zuuTz03f7v6dLj5NdRg4vMYWgxDbyIr5whoCYpsUHSXMUSIoJpECJWQmiYgfLpVRG1iOX+GzsA+dsQ+T6W+QVhNY4ggrlfll9U3aHM7aZApYjRiubAtHqQxoNFAknZ1mGavjaAM0RE/SoQ0EbWJw8ZWOt0eLpZ/hIJCk+hnpn6ew9pxLOmgo/FU6EXaQwFaRZonA4/wi+qb7FQeIe2lCWgJAEbFGAC9ZpxSdZKHjH28k/vXONJi2arxbGMrH+X/I7s4xAD7mCvZPGx8lk6xnUx1nP3qQRa5w7DyMD3JJ0npvRS9VTzPYS77PgE1juMWWStc5PHAowwzTEhG75OqBiNPUrfXKYkKEaWRRrWfrdHnyFuzNEa2ETGaydUFVTdHk2lyRZ4iRJy87Z9Iq4qBKgSbks8wmnmNRqWfsNJAXLQwnDRZLJwjV77L0dj/QG9UJ+vNsSsVQNfiRIxmJtxz7Et7tKi+1K9JjVBwFsmJIkmviYAMI1BYzJ1kTU6hYdIU1JlR7tJ2Lyts3ZtiXVlDVSAaGuAj66Kfau1WyJTvsi/wIsNJhYgwaVO3cUR7nMH4czwS/ioSl7PODTpp4kj827jSYrZ4iqNNHv2hR+iPCYq1BRwsQjLIloTOppjgjv0RO9hNr+ymLXaIFxO/zQi3SUaGmCidIO2l2MYWErrBE7EBvtXxv5AOD7KqLlCXNj2hIFftabpjD7EloVCuLXHJO8dU5RMS4SGeSvwBA9qDFJxFuoQfDhkTAZ5P/QuW82dwZA1FaCRlM4e1A2TsSZ6PbSco4rjSpi98FF0IhFBQhU7F2eBQY4iXOmI0ek3kWebpyFf5X7peZlMkxDHzeQ4Zn+P/3v8HnKy/wUH1MzTJHtoYZNm9TaE8Sm9UZ3/wC6y6JW6LEeaUSTxsak6ervhRpHTJ1WaYKJ/gt1r6OFP+HvvNfqR0SZo9jGRr9AXiGHoTL0WfIOJFOWm9xgH1ST4T+zZ3cj8mzxo9wcPEdMmKmMRFUvdciqJIWGvkkVgHVTvDAw0GF5zrbBMPYgub5pBKkx7kN7sidEQP0q2nmLHO85m2MPP1K8wq4wyoLZRdh7V6jW2in4OJ30Wg4LhFGgIqw9Ek/7eu/TwdehIPl5OVvyQiw8TMduJGBwmtm81yK+u1MdaqkrTX7BtsdYPtWic1UcJ2ymSVdaTweCZ8mLTZx6FGg1a3g7ghGJQ7aDN20qpsYTgZoOAukrWmCQiNR5MtbJFbOageQkrJYOhx1ku3sUQFicu0fR5bWHjAZPYtTBnguai/2U2qARq8Zq4W/wZP2oxmXmOi9jGz+RMciH6DhoBGh+xkK/1UvCzbg42YQkVVTHqTT7OYO0ml7ktfVAXiqkmUMHviX2OlcpOsWGFVzDMn5snJBXaHWlkWk1hOkSfbgpy1b6FLnbqscMm7xnD0RZojO2gwByjVV9ivHEVRND6b+n1cHIa0RyixzpA4wkypzpZ4gJiXYlMwztbYC9ScHC1m0EcvKw8w5p6lM6JSlz7VUEGl7kmagxoPGwcJaoKvNnyN5fwZlpybbA+0+DKpUp1xZlhzx1EUk4cbUmyRe8jJRTbLvcTCg9zxpmkwB3yIgqjQG4yxKabRGXKJGQINkwPaXp5s0zhuHqKbVvYr+2j1NtEim9gcDZPQOlFRKXmrPBEeIhpox5QB4sFuuiMm8WAPvfHHeCj4Rfo039dne1V2Jr+GQDAYf46wkqbkrjIUaKBKgWx5jE5v8D7g5fnwC+xOqcS1dqJqC73qfh5QHqFd9e/p65VR5oqncaVNrnQLVcAusZ9Xki/xWFMCKT0mlCk8PPZEfoPRwjskg73s0nvoDYdoUP177bXsd1HVGIe14+yPfZ3HWgUFUWY7B3kpMUzFdWkRm2mJHyKgaER0aIvsZlGZZNW9y+eij7Lk3sREZ4scui9rBfjNxn/Jeedtdia/Rrfs4EgqSV1YtCpb2KcOs1i5zITjA2Tey/1bAjLMbXENQwa5kf0Bu8UeDsYb2ZWIkCRGQjPZrHQykX2TPrmbh1sN6rJKMjzI/tjX6KSZxeIFyq5NyauznYMkvAbmrSss1StEdEF/NMyA6KQm67jS8uEtRgt3cj8hHt7MjkSZeW6zJ/wSa5Xb9LLbB8hkP2BVTLODQwRUQVdYEtM9Hg88way8TrO5lbvuKbojKgVrnq5AlPbYYTaqY8SNdqoyT6s5zKOtQT4T+zaGCOHisivxFTaYR1eCLMkNdoghsvYU8Xuh4TtTKgoqEdJYosaiWCFNnKLlD0EtAcjWBXEvTbMeJiYT2NKlPQT/oN9jezjFA8ZnGc28xp7Ib9BkbsHFZjAWxhBBtmjtCBQebBIUXZugkuQh7Si3sj/CEhV2xD6PRNLGFtLRXUxmffmzppicyf8xuvjffZt/H0tK8d/982l9Otz8WqooV6nUZmkKb8X2qgihIPEo1VeYLn2CgkKf2O0b5GSWnuSTuNi+6d319dLt4X3M5N7zw8q0JLnyKFVhcU1+wg6jg54ITBVtGgIKq2LjPnVpSfgJzgHCzJcvENYURuTHxEM9NCr9XMt+l1p9gxUvjy5UqljYni/SbAoYfFIf4RsNn6WKxYS4TqviN75xr4FifYmNusWzyX/BpphKW+Ioy/kzbI6G+Ov1OwymXmKDIn3BGBFd5SqXmbBP0xk+wJi3QI/cybw6RcldY6l6DU/aRI02die/TrG+yEPRb5IIDxHVFQKqwpqcYsI5TSw8yLqc9L1DUidMknnrCiEvjKqYZCoTtIutNAYkIS1Ne1jhmPEIU7VTmGqM2XqBltAOhlMGAuU+FniYIfbqA0Q0ia7FCd1DSU4WbNrFVhQBx4JfJK62s0k9wEZdoU+0kZOLPNOh0qcepKhk0aVOxIvSEvRN2vO5EzwT2c182eKp8F4CKhyL/xOkdLmR/QHLNYtucz8NsouH4/+UB8JfRFUCKAhuZCVNARNNalyXI6y545RkjbK7QavbRcWzaVDDZIojNEd2cimrsuzeZroEjRH/JKonGMGREtsTtBk7aQ8ZAOTrC9xy5tgiB3G8Ol3RQ+xPR/hl+Qeccy5Rc6HiSArWAk9FtnMoHWeiXMa7dxKqCdgV/QLPhB/kRzu+wlOhF1kly7pYYIvyIEtejlavnZ2pIK6UpKL+BipgpGkmRcGuE9PauJItsVMZwBAhemQX3VGVzWGf6qQrQZpMD/feDTpCAz0RnaUKLFXq5Nwq7+f/kDOrNX6v7Td4J/evUVC4mPtTImoTW5OvsFx1ySoZ+gJxPDxeSuzGkiV6Qw9iyRIBNU5n2E+oP7vq8Hz8dynYDhVrgdnsezzZZnCqfo094c/xV7mfcDCZZHPgEQqyxh1xm62Jl2mQ7TyTGGCq5HsldKEwJ5bo15sJk+S/rP6AqNFKwpBESbOhbHAx96dcyuU4YX/AH83PsG6Ncco+TUtgO3++PEbK6PGHXSlpCZgYQmXGXWNFzFLxNlCVMAHt3j3GUeiOqOw1NvEvur7FKBdoYwumiBAgwi9z/5aAnuBosyQkgyjo1Nz/RmZL+Lhzb5UZRshaLnFaSBqSBXUGKaEiLUyC3C69TcbySGrdtAZ3YioqqhDY0uOn+f/M5rhOo5dmd+QL5N1FkrTRom8j6iUxFGiJH2J7oIXTzhkaZDsxQyWphO6RGA/RFD/AQ+bn2JR4mgvlH5IyBQtigTtykrw1y8/K77DhlVkvXEbi0po4gqJohAJdaEIQUFVG5Gk2xDxbg09SlyU+G9tNUIb916oL9oq9PB3+EktV2KMOYYk6vd4QAoV1ZulgCw4WEaOZ7ohBp7aHGXft/83ef0fZcZ5nvujv+6pq59h7dw7ogEajkUMjgwRIMEeRkmgqS7Y19ij40hrJI585Zy2vM2dGHo8VxtbIkjUyTSuYVmIQJZEEE0AQAEHkRmo0utHonHeOVfV994/Nw3vlMHdk3+ujucfvWvXP7kLtwu6u2vV+7/P8Hi6kvkuzGWE6f4aszNId8fBydpyQDnKuMsUt4U42mrezVK3QZsQxtEGXsY3likLjsiX6USw8DOcLjOTKVJXGkAKfAZvjH+PXovczVF4iWxjijlaLhKpnnbiZzZEPUu/V1Fledsjd9IejZAtD3BRYyVrWcSb3PXb4V5C3XWIezXjRYLboYFOi6ira/FUcpYl7LPpiFlVRYUrUJr4+HaJEhRZWsyIEfjOBV3tZx27+68S/p8PcTEw14BEGOcemO34fq3y3cKXwAsnIVuacy1R0nkxpjDeqF1ihVrEz+AEajBANciVBfyeZqsNYoQZa6VTdTOlLRC2LDLNURJk1/jtJBPuYy52lMbqT4axDShV5tXiZ+XJN7nxHsB8DCxeHeHAlbWId3RGDhK92XzDx4rGSRPztzKkMJVHiSlbSYyXYlQwykrVpC1qkmKZDbCBmWYxmHZK6gwj19IndvJWbp8noxxCSJr8XiUWPWo2jK1y3l+m19tJOI7NiiawNcR0lxxKNfpPfbf1N4lYXN0U/TXv8AAWRpl53MJx7kYboDiSCkCkImIKD6S/WpJ0Bizuin6EsSlzNgim8dBpbucEgo4wT8bezJRHAEgY5CvR44zhuiRZvgAYfFGzFjEpzJPNVQmYTjcH1BL0NtMX2kfSsIlW1eF9sHw4un237Tbq8MdLOBMnI1lqGDtTgEznBj8dr8vM7vLexULnCA8EHOblYYrPnXhYrFSI00B7YTrteg0QytPxDDs1WmCfNGlZSEjU5doI21rGTbaEWjrmvs8E4wPDyU5iGn5dmC/h0kKCO0qQauV5+g8OlJ+n17WNt3Ee916Uj4HLVPswZdQWhJWNinFQFXp7zIgVc1EfYGP8IEsG15WfYLLYwlK1Nk8quS7/eSMkVjMkxXG2TcmrwoOHlp4irGCfVayyJSUzhpT1+oBYILeIkwpsovh3Y+6ta/zK5+afVvzQ3/z+odGWcoL+TvD2HFBaudmpEI7fILv+jTOfP8Gb6G5ScJZaLI0znT5GqjFGwFynZy1xKf5+cO0tP/H58MkKpMkl9ZCtJIvSwldlKmQspzZRKMZqtUVwkkrwo0KPWs0pvJa5iOG7NLL9CbqbeWMm0M8j6+Ieo2otMcoUxOcq6YB0512apXMNAfiixAVMIXOESlEnqVYK2kMG5/I/43Zb3YQmDinbxSE1QJmiL7edH2Zd4b2I1ti6TJMJUqcRipcJ46iBJ7yoWKldIM82kHGKqcAq/ESdfGiVkNDCVOUpcxQhZjRzJf4u4p4uBhMJWmvnCJbrNnVSdHHf7b2E88xrDnKQs8jT6ajfdNs9m1obuxcKi7MJ6vYVLqSp+Q1Lv62M+d5b9yTrqdDNLFU2L286kO0i9SrDoFrhSnafoCsK+FnxWDBPJolugJAq4GkblCCl3gmHnCOmqYEalqRPtvLUkmBdjdKtO3sh8lYDw4ugy9aKL5tgebA2tAQ9BCw7P2YzKi4SMBvrq3kPYsJh1L3NDnUGjOJH/Dh4zxInyj7mlSdEeNJgXY3SolTQZ/SwasxTtRQLCy7pY7aHNYyXJVCeJWIKSvUx/VLNSb6GONi6VFzi3XCJiaVayglOFOaQQ9Hn2c3Ookxm9xIB5Dx7t59xyiZv9j3KbfxvZqsu6uKDRt44zmTQNPmj0+GlSzVR0noUKeLSX0UKJ798w+OuF/4gSiuXqCFHhZ0yfZUku0+ADnzRoNTexVBmlzbuZlREfhpB4RZgpo+ZPqeiawTZb1fTJtrcbSovnp2zaAzZh6eNq/iBXsxUCpuCcPssNOcTu6CfZkvDzxkKBjfGPUBFl2uMH8IgAl1JP4pGS0dLrAGSrkyS8NVmFiZd06QZT6cPMVS4hhUlL0GREzXDCPc5dkd8B4C+nZvhE02aG3ePcG3gXQ5kKa60WQsKHlwAjxUOcSH8DpWF9TFNUKdqCXjZ7OvEbkqRq5NH4+1nPdtJVgV/7uSvWyZr4o2yKxLjTdxs7/Sto826mjdXEVQOPJFdxI/UizbE95Fyb7rDkcOVHNZqQbqaq8tQFevBKgas055Y1SkPFVRxZzFKwFwnrMCOpnxLSUVbVvZuAkUBpsESNxrjoFvhx5i+44Zykt+4hFgtXWMxfJuE1OJ/+NkcXNPt9a7mes5mQQ7RSS0wfzhdY4XYxV76EqzUXUxWChsWjdZ/ku8snyYsig6Wfst+6leHyIXropNeqp+CAJQP4DIGLTUkUuVEq1FDu4a1MyUnmM2+S1kWmiqdoD+9mLOeyzugip+cJehq52bqDt4pPAtS8FG/LZPxWHT9OX8JVmrKTJqk7mGGYlXoTC2WFEgqF4mhmnkW3wKAeZlVYsVQtE9B+BtWrjKaeo1utpcuqY6F4mbhs56f5Mwxmvk+/p4l18Q/wbObrKF2lXiVo9sPd8Q6mjQnWWi28kZ3mjcJfYQjJCXWSK+4hbFGl6Gj2eQeYF2OEVIitdSFSukCj38AQkPDC9epxnsw8jULTHb+Pw7MuCs2cnGaOERYqgu31Jpe4xpVcjvXxDzFaKDHBHH2R+wlZgrJymSxCg1fjNyW3enfSHLBQQMQj+e78H2EIuO6eoFXXFm5CKkxVVBh1jnM9D7nqDHPGBBc4ym3Rz+DVXoLazxVxGUsYzJUvMKdH6AztpUNuZIU5gCm8NRmjSlFn+piS15lRaebcIbp8e2gJWiS8ghExxIqAn81iDxnbri3UaQ+n0t9iNnOMWKCbpcIQQVPyRuarfKS+n+WyS9Rqw9VwI32Q05nHWSduJidT2ApsBduSHvJqgdbQdhxVZWe0nhZdj88Q1PkMlIZ6v8ls0SFEklH1FtcrGQpuzet1rXyIiqgQ0UGaVCNaa6ZKZUZTz3HS+Tl9bKPFiJGXGdbEvCgUBVuxJFMMGOtpDcAXRv93evVqAsKLQLJKrWKFUV8L3DbaiXtNXA31Ps2a+KMMJAI0vz3Br4oqG2KaNvpRQjGTfgP5tu92sawISJOMWOYN+wylyuTbjRLEvRKv9nBX7N+wgc2UVZaqW8ArQoxmXqTOU8UQsMHfyM+Xpqi6mhZjLY1GHydKP+Ckeo1Wn8NCWXF/m0le2VyuzrLa2kedV3BLs4/XM39KX9RPWEWZKp1m0ZghTANCmKyKeEnLecb0HCVRZCz1AjPqCgfTXyRTcYnImnqjPX4AS/p5T0eAkAoT0SHm5AI3e9/NvaEPcb16nKF0leWq5Es3ppDSZKFyBT9eVoku4t7ad0LZ1QhhUKVEVqQxjCAjepKuYA3N3hzwkPB46AlVWC962Wlt4GD6i1gygN/bRkBa+I04zaqnRkfTZYrVRSbzx2kzN9ak2v9S/39bv9LNzRe+8AW2bdtGOBymoaGBd73rXQwNDf3CPlpr/uAP/oCWlhb8fj/79+/n4sWLf+/xtNbcfffdCCF4+umnf+FnV69e5cEHHySZTBKJRNizZw+vvvrqP+q8+7y3UCiNUefpISBjpIsjzGWO0xnaS07kWB+8n3BwFVJY2PYSTaHNdHp30ubdTJ2vh574fawVe0nZN5jOn6I9foAetpLRJS46L7MollEaDG2wJWlQVGmgZl6sUOVw9qtIBHXBPsZyVU5lHme8fIJ8ZRaP9tARv50uvZ7h5aeQAgYSAa7pKZI+QdkVbIzZBLSf4fRPmZbTCOADyU9wLesgBJxVh7AkzJTO1bC7YgNnlyoYwqKsHfY1BlkgQ9DfyVL1Gqusm9lt7qBTrWGN/06SdOD3tnFt+RluDv8Wxys/Ii7aqQ9tqNHihCZoGtwS/DAWFkn/KgwBvbH72WvuR2IwWxpkhFNcSj1JmQKDlec5u+RyWVwkpYqcqUywRm+gJ3YXcyXFiH2UbFXhEx4Wc2dJeHzUGQFMDE4ulvDIEIvZ09zUEEShCegwzy3fYMm+hqOKDJh30epXeLWHhEqwVHbf+X3fF/89zukjVHWJS4WfM5N+g/mSjSEEroKeiEUdNSO9i82CUyBhduOoEnlRYEXkZmy3yN2hDzJVMnh+aYY21UfCDDDrXqZTdRL2NDMmx6i6kHOrrAzdhtYKj9Qkfb18beoaDi5lUaAo8jT4vFzLwbzOsCvcxJLKc80+giGgIsqMG6NcSj2Jg+Zo9Rn6ooLusImjYLk6QkB46QxUiXoNropaqF7BgRFOMSkmaPAbBP2djNkneDjybk7qw3w8eScBFWSmBAW3BpswhIkHP29kp8mrKgAPRPtJOVUcXWGJDAmfYNEpMWIfBWBbvYenJwwucYn+0N1UtMtsSXGTZ4CqLvFG5qtcTFXpDPjZ7m9nXl/DJyL4dJCdsd/meimL4xbJ2g4tno1ELc1qaz8X00/SHNhE0N8JQH2gn7FcFa/28dHEzbxefZqdsd8mrqM4CnqMHZiyNqUAuCouoYQi4V/JmvijXMtWObkEzfRyuDDMoeoJlis288YMLQHJuBgnamnCBLmedZh1LjJXcvje4lfwGYKJ8klW+5Kk5DwFR6PRmMJHTyjA4LKDo8pcW36GZpFgpbGb2cwxQqZGA/saFUWnNnHdVhdmrecAZVEGatPbOreBbrUWS2qChkmDbqMvGGWL/2G2GXfi0yFaQwOE/a2YElqjN7MuLrlSyLAlaZGtTpJXVep8PawKh1iSKVZ699Lotyhphya/hccQPNayFUtbhH2tzNsltnruY2XEixDgldCm+lgoOwgMqqL29x42ahPUrVYvLbGbmZPjRH3tCCTtIYOUU2W3uQuP8PN06suYRoDO+J1ERBOuqlC1syzlzvKp5tV0RUzqvatplwkWC5cwkZypjnGtcqQmsTHqKIkydW4Dg2lJ0LAwkTSZa2s4fjnPiL3EOv+95FnioehmOqMH+M78f8AWFbaEfg2PGcESkoIjSHhhqngKha4h2500KVXkVu8Omq31nEs9wXBliUa/pOguERBeyg40GREuZPJkqwq/QS0PxdiOoQ1sSgRMgxk5xqx9EUsEuKc5S7oqGMm+xAp/EK/2YSGJqzg5FpjMO/yrlYImH7T4q7gKBILJQpXXF7wsVVx64vdxJW2zwhzgIm/RHIBOT4wb6gxbjTtxNcS8HURVkjXsImZ6GXaP4xEWjaqDknaQwiJXnaHJbcERDnN6hMXSEElvLxvZzg13gZ3WBrz67ekws8wUbVIVTVEtMVuqIhAcsZ/FEgGSxDHNGH5vGy3merojtzJVKvNr9f8LOVvwUIcm58xRdDRrYo+wO/IJ8qJAr+7mloYiloQr6dr1mHEmyJeu4zMgZnlYHbZZLLukqpqvT/8XQpbBhdR3Wcyexo+Hz/ZrEipBt+8m+r0NNPv8LMkUY8YIXSE//fFH2GLeRRWHOq/Jon0NSwo6RRM9EYN769oZceZJ2/B7Xf8bo3IECYynDqLRHLZfREqL6fI5GvwCR2supDQpPcFSpXatGghadCOvzLiM6bMkdd3bBDAXy6xjoewwyGXadDsPR7dSF17Pleo8E0W4kMlTEVUmxAyHq8/UKGRGkPHcMYSwODhXA8sUHMX7mlsYd5fxaz/Tznkq1Vm65FZGCyY3N8JMWXJdXuN0+i+ovC0hnS9Dc2wPloSMXMZ2az7Jksji8zSR9MFOcx1DpZe5I9pJX917MIWXgdjHed0+Srvbwfr4h3B0mSaxinRVkJBBJowxukULP898mUWnRItnI21BD7YWrDFbuT/4AM2e9XiFwVHnZVwtaA5Inpj9D3yk7g6uF4+wRnbREtnJnDvES6XTTLmDTBeqpKpVpksextxFpitF3pP4fRaKl4n62nku9Ue0ql7m5DhDyz9EYOCqMmtD9zOjrpDRs/+o57t/rtL6Hzm5+RdaGvAr3twcOnSIT37ykxw/fpyDBw/iOA533HEHhULhnX3+6I/+iC996Ut89atf5a233qKpqYnbb7+dXC73d473la98BSH+fj3ivffei+M4vPLKK5w6dYpNmzZx3333MTv7y18ARZGrGeAIkXPmaAvtJBxcxUTxBMtihgUxTrYwRKowhGnGWS6PkKcWEFZwFsi5s1wVpzGkl5bQVgIizpwcZ4RTBK0kaeaoKsUV9xCvz1YxhZdr5UNo7ZKRy3TG7qKCTatcw/o6L2tjv0adr4eqPc/pzOMobXNJvc7W2G9Q55UcXJojxzw38i7LFcVPpyRD4i32hH+T1bKTk8t5psolLtszXOQKbcZ6Lqc1fquOfGWWdf56JpjH1TYZkeXIfIl+bwOOW6bZWs9V+zDj1TSLco5h+whXy68S9tVWElu8AdoD27mS+yllJ03JTXN0ocbIf8t9AQcXv4wzX7ZZdsYYUbMUdYp8aZQOsQGP1cDl1PffXjE0aiAAK0RcxZkRiwwvP8VyxaHO08OlyiwJj4f6yFZu2Mu8Wnma4+mv0xP20aM3sjn+MZYqEBDe2kohFXxGHFMGmBJT/HiiSEouk5U5djeaxGlhWixQ0S4dYgMt9NEc3AjUbjCpistkweHMcoGCSDOXP8+15WewMHGx2WXew7KYIetOU6nOclqdwRDQLhMUZYG0U2ExexoJ1MkVBHSYnK2YMiZqxDTvZv5g9E/Zaw3wQLyXY5mv0au7WdYT3CgVaPZDs4xxJVfkWOZreMwIZzJpoBYQmIxs4WD6i7R5NzOU0UwXFVezmlx5HJ80OLHs4XBhmHrRhaMrHCuMc4vnAG26nbZALRxxg3GAgqMIygRfnvpLjmW+xlJZ46BZUjdIFy6zoK/j035ez3+T0ewrLJQ0FhJTeLmhzrBUrt2NTcOP0jbXsoqOkEG76sbFoayrlB1NyVGs0lvYGP8IKbdMa1BytZAlIpsZXn6KSeccQkvSMkNjaCPzbo6IjvEXEwucL/2EuvB6pgonWendW8Oduimm9CJtRpxL6SobrDu5ZL/KQCLIWAFOpL/BC+VXGRKDHLZPsFgZ5pZAP+16DXmWyLlVzhbnOJX+FiEdZZ3exJReZL56mR8vjdClV3AuBYP6KCHLIGg2cNIdpC9yP0sVl82ee3mt8hbDy09xOV2hIboDgeSFwinO6kus9d/NQOzjHKn+hEUxRcDXwVQRXi6d5mLGoOjWjMn/deYJDG3i1R5ujnyCispzPPt1bsirjBVq0rasSDNbqtLjjTMmx8gxT4vqpl/uo8kP7XoNM0XwCQ9XM4q4p4t5OUuD7mSyUGFOjzClLjFSKPB66a8pOpq3yjd4c8ElLdPc9jZBaVxe43quyiuVV3kznWJMnMMrJav1VlxsTme/Q8otk6CNyUqBor1AXDeSEJ3YlPizuR/weumvuexOEpRJ7os+htYK6+2g4jbPFmxnmXXxDzBdkjyfHmO2fIEhPUbI10zE9NCsm+j07iTsbea6W0tJt4UNwKSq5WQVSWFIL/PuVc4Vn2FRjGPiZa6oCFCjBs5XLzPsHOEm3yOkdZGIpTk0WyHm6+SMfY2RrM26+AdIyUXmymVulI9zU/TTKDSDqRKL2dMYCJ5Y/j7PZr5GUZSYKZeQonbtzDFCsxmhV21grlymUXXQa+5lIneUJ2+EmSsp1oYfBOBk+pusjPh4LfMVOlQ/DX6T02kvV7Oa52e8nLPHqbgKj5S0BzRVVxHQkdrvxDnDJnbwzYXjnHNG2Sxv4Txv8I3J/4OSm8KjvVwTZ/EYgqBZz7C4QFwESZElaCVZ6znADTlEimnWs532wHZmimcZlsOMq3Ocsa/xVuVpFrIn6VHrcbXmer5Uu76Zocnvpc2zmQj1LJFhdfheqk6WKecsC/YQnUEfk9Usqarm+KJJr7GTiquYdS8zKs7gCoclledbIx7G8y4NfomjisTMFbTF9nE1Y3PVnuNq3mIgaVDvE9wU+nXGi0U64rezJv4oI/IK3x/3syxTTNqnma2UCZiCvEhzs7cmnw3rOKed55mVY0wUy0TMFnK2ZlItUnQ0w1kHA5MzyyU8UrDDXMO0WKjJs8US3XIbxcocVSdHtgqHUvNIQS3TLF8iVYWT+jATYpI1cevt6+UGufIUfh0kFuhGa0iqZsbkKM9mL9BibqAiyryQGWVfQwhDmyRUglbPRoayP8MjQ7SFthPwNtIRcJktVbluLzFeAEtbeLWHgJHAMIKs8dVzcC7DwWnFtayiS63kw03/C2dSj5OuaK5mqrSzjufSQ4wWDxPyNiExGM+9wSbfA5xdcsjaDp3+3VxOl/FoP+nKOItinG1yJymRYda9jE9EOZf5HmeWXfKqiqttFt0CyfAmKlTJs8QbhXEOzVZZGzf49vwf4yPISfUaLcZa3lwo8oXr/4n++COcTRWpVGY47h7DwKTsZLjFtwW/EUehmRRz/HTSxqu9DKrXGNTDJP2rqJcrscw6MnKZvFqgLryeor3AluB7WGKSdHGExfylX/rZ7p+z/sVz80+rX+nm5vnnn+ejH/0oa9euZePGjTz++OOMj49z6tQpoDaJ+cpXvsK/+3f/jocffph169bxxBNPUCwW+d73vvcLxzp37hxf+tKX+Iu/+Iu/8z6Li4tcu3aNz3/+82zYsIHe3l7+8A//kGKx+A9Ogf57taRu0BauafrTxWHKOotSNk3+DcwUz+IVITbGP0Jf9H6q9jxVpxYEN5U9Sro4TA9bmcudIim7mCmcQ2qJwmaL2Eu/3s5C+QrPl37CVuNOVsc8zOVOscvzMO+O3E03HZR1hlljkhTTpCoaA5Mw9STCm4iH1jKZfo31cj9DlVeJWpqSKJJ3F5iu5hgtlHi+9AJzmRPUGQFeKj/F7mSYZdKsMptZrFxlzD7BTKnMKrGTkLeJp3JPsdZqwaFCWIe5yEnGyllMw8cK3UaLZyOucN9ZKSmUxqg6WQSCq9UFmtwWQr5mPGaEuLWCbFXhaI0pA2gUre4KwqaJo0oA7DK20xbbT0kUqdrzRIJ9FEgxkXew8DDkTiMRZFio3SDVBRarw5xKf4t01aZbbEahkUj66t7DxWyeIU5wMf9TAiYsimWKOsUa2cUWsZPlwhANqokmr5+QDuNTfv5s9gLnUk8w5Q5yRZylRdRxMv1N0tVxvJ4mmgMWRdcl6jFwUAR1DID6yABjxggVnee4+zx1upnF7Gk64reTsSd5a8HhxdKT5FgiJdN0xG9nnhQz9iAVSoyVsxR1irbYfjz4uSP0cQbtSWaLmo747eRUmRb6eKPwV0wXNctukbKukghvAuBI9r9ii0pNlpQ9jRCStJ5iuljBZwgSPkE00M1pfZJXludZb3bjU37mM28SUmFeqbyIRPDGXE2Pn5YZ3nLO41ChVJmmO34fPyu+TFlXaZArAZhOH8ZE0h7Zy8bQu5kvV3i5+G3W6A3sNW8jZ2sW5QKuqpCrzjBaylJVmmljgriq45zzIoftEwzqYV7LfIVJ5xxeYXJwfplDmT9haPmH7Iz9Nku5s7RbUZaZZDL1CpedVxnT59gbbaA5sAmPDKG1w4K+TlAmUdphSUyy7JQJWwYTcghTevir5UM0+QVCmPTpbe9ALeLeTq7kcoyJc0ykX2ZWztAuE3isJJa2WBX1kZXLuNrh5mA3E2KWhbJNQCZ4Jv8Uk6lXACiRJWhKiqLIPcHtrIk/StxjkSoMEySOQNKjeimJAifT30QISYAoQkgmCzb1up3TywXmSzYXuMidgfezaMwyZdzgtP1z1rEbr6eJ+fIlRnOKMfcUfh0kp8ocsU9SUIsEiDMuLzMjx8jaMKReZ6GsuCLO0heVjGePMO9eZUpfYliMkiqNki5eZ1bOYEgP18opyiJPyVGEVJiyq7ghr7JQvsK4nicgEyzLeVbprZxzRhmVtQcJpUpMGTdwcJAI0oXLTOgLXEh9F4Auz04sI0hERRla/iG2djkQeD/TpTO06yYmq6fZHP8Yk9XTjOUcNApDmLjCIWAkmHGyhA0Lvw7Qwmoulw9ypfIyXl3T8F8o/hSfDrFcHaPeWEnEaCHu70JSC1W8Up1nzh3irfSf02ytp8+8ideK36EsS8yVa75EQ1gM515kws6QZ5EW1UKKPGu9d+ITHooizxI5bot+Bo2mWJkjEepnRJ3EI2rStPrIAPWii7RTYfZtypQtbEbcN7kl9BtUlWap4nAh+xQ3SgVMM0a2qom8DfsoOpqlsuZMeQqfAX2yDQXMODmenSoxqmfwah8pp8pGeQtnOMqjsZ0MZX/CvFhEaZt7458jYrSQkxmEMLCkwNZFbqQPMiXmqYgyfhknL3IkdBtT2Tdr00iVIOlfBUDQSDDnXKbRv4590d9hXF7jcPU5UuRpohcXm+dLh8nqGk1zWcww41xkc/jX2GbciSG8LJVdsjLDctnhmwtPciL7OKfdqyzlzjKTfoOzqb8kJzPEPJKj9imEgK3GHdiUmEy/yrOZr3Mq/S3GcorxPLw8X5PL1Xt8RGli3r3KJrGBl0uDtSmEGWNWzDOUz+PVAcaKBf4m/WO82kO+MsONzKtkdZEm1cmpTAoLi+mCImJJTqS/gQRKruacPU6VEunyGA4OccI4Thqtaw7YVhkH4Hb/u6lohwvpEknZRa9YwcsLyziqSFbNEPG3cyr9LZR2sLXidOHHlFSKjWI1ZZEnoqJs93Xxw8UxRjhFWmYQSDaF34spvCR1K14jTMBQNPg89PuSDGdLdHgiRKWfyfRraO2QqTpURJWjzjEsKRgS57lQrn0nT5aKrAh5GCz9lLWyB4FE4zJfrQEKzld/Rp3PZJRJLqWe5LK4SIZZGnxrUNS8QAtinExpjMXKMMnwJi46N5iX85R1li5vFI0iiI8EbbToeubdHC/Mpbk/9hiGrn2/LzOJrRU3hX+LmeogTV5fjXwq44xnXmOFdzsHy8fwiQhDYph+o421cS+X3FdZzl9gNT306A2EVBifJ8GlVE3SasoAEU8bhjaZSL9KMrgGIcxf+tnun7WUQP8jtn9BQdfqV7q5+duVyWQAqKurA+D69evMzs5yxx13vLOP1+tl3759HD169J3XisUi73vf+/jqV79KU1PT3zluIpGgv7+fv/qrv6JQKOA4Dt/4xjdobGxk69at/+D5VCoVstnsL2wAPhkmXa0F08WDtURtr1kL/usNHMDRFS7nf8qiO4rHSlK15zGMINFAN2FfB9NyFNctkGOB6ttegU7VT2vAy5JcZr/vPXiNGoHlj67/e/oj70IIwdVcHkvUiGhx1cBY6gU6gpBjiUupJ5HCotXcREN0Bxf0YRp8a4h5NC26kXpjJXsSMbzCIGQ00BG7lZ/nHmeteYCzy2Wqosoz2b9ktbWPDmuAfY1+zlSexVYlHFXlcnWWJt3Na5mv4GITlX4CVpJJMYfEIC8yzGSOErIa8VgNxDwddMbvZlnMoNCk8hfpFptZrFzFb0puuAt4ZYg5Rngt8xWKrkurtYkGnWDeLuFiM+0M0hm/k6Snl0bdQdlVeLWXBX0dha7J5MgzljlI0tPLzthvc6jyA46nv86I+yafanovIRXFEkYNMBC8n1PLxVo4mcoz5WQYEsMMhB5lXF5jslIgK9LkZY7fbFhHONBLqjCET0R4NvWfCPo7sYwgjltkOF9kTmUoOIo608eEU2sk/EacDrebkptih3EnMwwTDvSitE2HNcCCU6BQGiOvFoioMOOpgyihSOUvMudc4fXMn1JReZbLo4zbJ1kV9VGvEhQdl5Kb4lDmTwDYGHo3SZ+kIEqk5DI9xg6Ssou1sfcRV0lKKgWAx2qgW29mR70PjwGGgOXcID5RW/Utuy5X3EMA3Jyow3YLXBbn2Jq0SOpWWnQ908XTLBaH6IzdQZ1upl6u5Jo4zYXUd4kE+/BYDdyQQ1giwKnMtwiZJnF/F2c4yiWuMVkqYuGh1dpE1NtBQHg5lJqnyW0jL/M1w7V/Bx7tJxzoxVUVTqlXKMoCu6KfYGP8Izi4rIk/yvcXv0AdbQjpI2Q1UnGzHM0s0KK6mU4fZkX4Jtr1Gsoqw4BxG2OpF/AKk9lypRZkWZ7hkeg+Xp1P1x4IZC17ol531Ah4lh+vCLEidjte/FxgiLbQTiSCP597gpRzgxWe7aQqLnuCndhKMZ47QqZ4jX3R/wcdaiVzpQsMFhdZFjNcz5cYKx3lr5f+Kz5PguHci2gUx+yfUCLL+viHyBSuMq+uUefroTFgMS/G6IsEqfOaRKnnih5laPmHTBbewjJ8nNeHiPu7WO09wIqQQcBMMGwfIWb4mc6fYib3FvPuVSZSLzORO4qtwBBe8rZLiAT/Zfbn7A19FK0Vs5lj7PT0UR/op2rPM1Y6yi7Pw7jCJefO4mrNgjGFV9a+SvKlUSbcczSqDsrkOVr4Dt10MF+6zLXlZ+iK30O36iHDLCedn3FT9NNoXZN45u1ZptSlWjaOLNAff4QGn5cllafRt445lkkXLmNoE58Z49ZmwZ5AF7nyFEPLP8Qno4SEH6+UXK6+wmDhGdoD2+ny7eFM5VmafNAYXE9Z5AlZjQgklvBRJ1fgUGEk/TxD1dcAWBt/P3GVxMFlXeBerlWOEPdAS0CSroyzP/jrdHhiNKse5uQCb6a/wTRDLJOmLPLECZMVBUra4Z7wbxGS9fiMKC6aM0ua1WIXCRWnOxjEi58hcYWMXGTAuI2D6S8yW7J5pfwMQV8zV3gT182T8AlWeLbT7nbSHJDMl11yYpnesObF8o/5af5JvFi0+vwkVB1e7aHV5+eVzJeJyGbOpIp0R+9gm7+dxexpFnWWmeJZLqS+S7daS9QjiYlWVsfeQ4ppukULQeI0qAbG1TmkMHGETZwwTfTi0yHGUi/U5HXCYl7OYgkfWiu6PXW4wmHOucJy6RrpyjgOitHUc1ScLFcqL3NOv4EpvRx2XqFNNzJhZ/h37Y+SDG9iu9XH6th72Bz/GO9OfJ41RgdKw25rKxN5h1dyX6dZ1zJx7o38Ft3xGlr4Rr5KQHg5qU6xUC0zUjpExGjhuHqdOwIb6HC78YoQH2zsZFEuUCSDRPDppnczb8zQENpAZ/QATUaEi87LWJgsyTl6o5JLhTR14fWMiXF8huBa8VUyehaPEWQFzbhaIYSkas9TdjSXuEbIEvx46Q+Zl7MEDRMDi5dLPyAkfCjlsJi/TMxcgc/bgiG9uFqxN/ABUpUxzupLzJTO8Vbx+yyWbTZ5OljHLsqigIUXixpcZ0Zcw3YLTJRMXK2ZKBXZVBfgdfsojlZ0x+8DYFTPsC6QJC7aWSo7LJWHMTAZiH2cs/o1So6mVJnkZ4XvorTDcm6QTms7Di4BK8l0ocqcO0RL7Gb8RFgsDVHWWaayb3Ku9BxL5WH6QnezwrudPrbTrJvw6QBr9ADXKxm0VhQos8g4tq7R0BblHGm3REFkSHpWYeHnpcyXyMoc2eI1Xq+eZE38UaCGub6Q+i6tupd2t5O4aiDj2DyfmiCVv0hX7C6ezz/BocyfsGBMUaousCb+KFq7FKpz1OsOrovzrIzfT1Xl6Qrd9D/87Pl/Rf1LiOc/rf6naW601nzmM59h7969rFu3DuAdyVhjY+Mv7NvY2PgLcrLf/d3fZffu3Tz44IN/77GFEBw8eJAzZ84QDofx+Xx8+ctf5vnnnycWi/2D5/SFL3yBaDT6ztbe3g7AZPpVYp4OLqS+S74yS644TNCsJ6UnmHUvs1C+worwTSjtYBoBmmN7cN0CZTtDunCZ2eL52he77qQ+spWxynG8wqQtKBgp14zSnbomf/r6+v+VtJ6iqCvYOCR8JjaVmpwi+mkUENeN9NW9B9vNM2mfxiP8NSMiAToDFdoDPh6M93FiKc9FLlCnm1EoWkKbKcoCDT4PK2jmtsAHGaw8z5XCC0QsTa//Fjo8AyS83ewItTDivsnO2G9zs7WP/piXmNlOTMVI6ymaVDPvin+W6fRh1obuRWCQ0K0sV0e4pF5nTfxRluQcQkhmSmW6jAaSdOCTUZqiu5AILmefxisMJo3rzKTfYCl3lrLKso61nCs9R3fEw4g6yV5zDw2WH1NbzBTPsiv8cQJEqYgKq70H8HlbuMVzN3+TGmRBjHN7s59eBsjLDCsCfjpFE/OZN4mJALYuMifGAZgxJqlXDQzlf8435s5gGT6Cvja8uuYJaPFvJml0vy0v0GyP1JOu2uTcmu69P3QvJl6Slo+Y2c7z6S9SVXnavJuxRIAcS6wO1ZqKDrGBCTnKQOzjXK8eJxzopdOoNdobxV60rjU8L2RrHjSPlJSdDPujj1EWRdJynqWK5nzhKSarpwnpmtm+V7RzIvs4EdGEz9tCfWA1U3KYxTIkvbBY1vi9bTS4rQS0n6Bp0Gltx+tposmvUSju9O+gPeDSZsQ5yzGaA5tY77+X8ewhprjEx5o7yVfn8VhJeq29rA3dS5QmLO2lLXYLc3YBhcIUtXDWBq+PJSZJqnpKzhJLZGgSMSSCM6nHuTv2WZSGssgDUKwusU7cjFd7ycscfu3nbP4H2KLCyroHadBJlCqRECso2xnajDjH848DYGkvF52XEcLgLfcFQv5ubO2S8HioOFl6QrfybPYMLZ4QsWA/Xu19x1zcrrq54F6nQXfi4mBpDxKDRtVBvRnkvbEPkSmO4dEehu0FXi5eYEOdj42hd7M++igR6cVE0u+7nZ3RemaKZ0l6vTT61+ExI6z1HCDkbWaT2ECPZzddqo+qKNEQGWAxexqfiFByakb5VMVFaZhwz3FzYBXr4x9ik/8BtFa4qoLWipAOMhCv0KH6SXh6SLslNgXfjesWWCm3A9Ae3k3VhR3GraTcMhk9yy2e2xlUrxIxWwj4OrhRKhAiAcAe33tp9vmZFaMEZIKWoIeMM8Vx5yyNuoOtsd+gV+zksvMqK3U/K8O3YWvFbf730RW/hzbVgyUkJTdFr7UXiSBXmaY5toeYtYJOsYkOzwCT7iA5PY/PEMzKMXr1aib0BUL+bgaLP8EjQ1SU4Eo+y8roHfTWPQTA4eJ3MYQg4e2mai/Sp3tI6Qn2+R5hU6yM0jZRlcQUXuacK1R0rrYIRQumEWan5wFiZjtZ5hnmLWI6zPn8U9R7+wgYEPNoGn1raPb56Y2YhISfNNOsjb8fheJU+lssVq5yWZzjZOYvmDSuk1ElWlUXfWojXmGwMiIICx/NPj+CmowZYJvZz4uZrxDwdRA0DXqs3SQ8PdziuQUpA8wVFe26iQW5yKvL86TtKp1uDz6p2WXdz1bPfcRMLycq15iVM1iYXCkv4vO20KFW4BUG7W4n/236/+C++O8xJ8ax3Tz98UcYFmc5l8nQoTvopQu/iDKllomrOgb16zQafTwY/S0qOs8SGSSSIrXFxuvuCSo6T0CHGcsfYaW1F0sKHBx2mXfguEWEMFg0ZqmPDBDxtuE1I5SdNFW3QMRo4k33BeIiyKtzJQbEzQAEdJgzqcdZdsqcVpfwm4KFaoXeqMXu0K+TEyl66x7iLXWM8dwR3irfYFovEzRM1ulNdAQCVJ0sUhi0sobxQoUluYyfKCsCDhusFeTcWa7JixxZyDFZOknRXiBKPQCtno2URZmUc4OsDRVRIWq2M1k5w3DGxu+Js03uot0zwIxeooKNacRYE3+U/pigzm0g4YXeuocI6DCTbopu0cIe78NUdA0z3hreRlEtsdX3MIYwsbXilcyX6ffezmrdR9TbQdWuSStTVZtr8iJxlWSZWl7XZOUMUZowpJeCI5gvV/AJk5FsTYY5JebJubO0RHaxzCRni3OURJbXnRfZ531vLY9LjNJgrCLpk7THD9Dvu501wbtZH/8QI9WjLIpxWoy1XOAirq7QQh9XMk9RLI9TdlN0RPYy4HuIel8fQR1krHyM1zN/SovPx1X7MF3BQA3GYkQ4XfoxIRKkRIZUxSWoowyLs0xWzlBQS1xPP8+a+KM4OCTCGymqNNPVc9i6yIj7JlL6uVB5kSW5zGDpp7yQ/mPujLdhGEHmyhf4cPI3aYruoqqLbAu+n3n3KhvFzdT5et6ejtncyL3BYvY0o7l/nKf6n6v+7yJL279/P4899tj/14/7P01z86lPfYrz58/z13/913/nZ3/bR6O1fue1Z599lldeeYWvfOUr/+CxtdZ84hOfoKGhgddff50TJ07w4IMPct999zEzM/MP/rvf//3fJ5PJvLNNTNQoUOFAL0ndQSzYjyl9RIJ9NOluSm4aSwZwVJmCWkIKk5C3mZn0GzREd5D099ESu5nmwCbSegqBJCTrKVUXajhmC5R26Ah6WeWvaU4rSuCTUYb0UfIyz1ihyFD2J9xk3YdC4zMgoAPMVy+Tyl/EUVWksGj0riGs47y24OP54hH+cPTf0x0Mcn94K1VRZTx1kM1iMw06ia00GVVihDF2eB5il/9RXpt1OZ/6K25UThCmgdP5BeqsLgB+sPRFslWNqS2ui0EAroozpNwyzbE9LOjrpO0b2KJmMJfCpEiKglpinXEr/VE/Q2qSfquZLrWSspMm7VToiOzDlILR9PPsjz7GnbHPkpTdVLTLdt/DJLywlL9I0XUZcea5nPo+twU+SJsnQoNqoFknMTBZGbgFjyFocmsm/xdmigw6L9XkfxpeLNQkMs1+HxWdxxReqjrPbzb2U28GaQiu41b/JmLmCjo8AzSpRlpVLyWVwoOfVOEyDoqf5y9wuPIjZsU8RZHDxcFHiAvuddrcLhqjO4mbKzCwWKqOUNV5TCm4M/ZZTme/Q9adZlGMs8W8C1dVWBYzfLDh35EiS0dwJ711D7HV6sUSknP2OFute8mLAhYetptr+avFJ+gI7yFduEzM9FIXrunh+6IPsqxuEPOtwCejNKseruVKXEkrKq6mK7CXlFyk2RPgpcrLNQ+Z4eMvpscJmHUMF/J8Z6zCuLtEC6tZqfuZ4AKuW2ADuyg60OhbQ1toJ3mZIcMCEolfB1koXiYvCsSNdlLl67Sq2t/MgNzKWecFtFYkiNIW9LA2HKUhuoOgYXGmPMW11DOEPc2sDd3LefUyNxhkonqS4+mvI5As2deo6iK2dvFYSabcQeoD/ZxWg/g9jYT83UxUTuG4JSZSL9NubuE90fdj43DEfotm/0auZp9nh7mBlqDBamsfeZGjzmsytPxD3qo8TVTVcbHyAnl7lmU5i6FNJJKeiMUTs/8BywzhCIdb4k2MZl7EFOLt6WTNBH2s+mPyMsONnE17cAdnq+MsVoa5zf8+TmQfx1EVZt0si4xTZ/qocxtYzQ664/fgapuc7dKnN5D0GZwqT1CozDOcL3Ah/dcILak4OZKeVcxl3+SiPsJ4yaIsSsyVLiCo0Za2x34LB5eQv5upwska0EFn6Q6E6NEbcbTGEF5upA/S77sdrzC5ln+J9vgBRsQQlyqzbBVb6dF9xDwwIPdzR2AL41wiLzN4MGn3DFDVNmXyeIXBaf0mq/Ua6s0gz6X+iC65lZIo0O4Ns8F/P1oryjpDSAewRYUuWQt7jXoEjbqDQU7QKFexxns73cGba/JPqTlt/xyP9tPgttLqrsB2MhRdlwbdSdDfSUXXPHuzYokjizWJTk6mMPESNmuLYlP2WYaKB/GYIToDfjbL1fhFFJ+M4BEGnZF9tKouziwrCk7Nr7ZYqVBVmrfsn9Gh+lljdBAVTQR8HQSselp0D2tij2BgMWtMExBeFuQSCs1oTnNFXGasnMWSohZyKNby8+IzCGER8jbjkZKSKPBQZCtj1TStkR2UXcVlcZGYivGe5npa/T4iZs3In9dlEmaArrDFNm8P681uXs3+F8IEuSf0YULSYpRxjld+xMOJz5NSRWI0sin0XvplNxU3S5c/wqgcYZRJ5quXMTE4VXmG1WIXk9XTLDtlSm6KnExxsfICc+UL9McfIWauoFOtYUJfYJf/USxtcahykmlnkJQq0hTaxIcTj7Je9NIhN7JcukbZSWNILw3mKmKqgYCR4PnMV+gJ+flZ+j+jNSyJSRqiO4iZXvb71pOtaqra5m9S55g3ZhgtHEZisEKvoz98P42qnrSc57IaZZEszQFJf/h+0s4EXu1lUWdJMU2ramOiZNb8LUY3/Xo9u5JhfGaMFZ7tVCjxauUZSmTwag/dchv9EUWTiLPT3ES3dzfn1DAeGeJn2W+SZ4lT6W/h4NIe3k2OBV6ZLbEjlmBFwMXRFS6VX6DHSnBan6TB68USBscyXyNAHIWiKAvM5wZp8wfYGfttgtqPrRWLhSvUhdczrZfxSePtAOE4ji7j1R5yxWGW9BhdxjbiHs2BZj8NPi89EYu8PceCvs5C9iT9bKXkppgTo/h1hFZjPT7DoJ0G1unNpPQEB5dnaNTdjLmnsLQHvw7Qa+1FYGBTIWVfx5QBZhlmIPJRdsZ+mw3yAA4VkkaQiewxluQchfIY+6K/Q9CU9Hh2E/EIwoZF2U1hGQHWyh4uln7OoB5mna+RVXoLQtQy4tbF3kdU1VEgxUL2JA1yJSGrEUsEWM6fZ0X0FuK+Lrb62lkVOMBA7OM1gl74Q6z07aOqNPnqHB4R4Fjma3TLbdg4aO1SHxlguThC1Z6nJXYziVDff+eJ8//e9Qd/8AesXr2aYDBIPB7ntttu48033/yFfSqVCp/+9KdJJpMEg0EeeOABJicn/8nvvX//foQQCCGQUtLY2Mh73/tebty48Usd53+K5ubTn/40zz77LK+++iptbW3vvP5/Ssz+tul/fn7+nWnOK6+8wsjICLFYDNM0Mc2azvLd7343+/fvf2ef5557jieffJI9e/awZcsWvva1r+H3+3niiSf+wfPyer1EIpFf2ACCVgNj6hQrPNuJeNtYax5gxH2TpdxZWuhjZeAWym7t4tXaxe9to1WuoUF3kiqNUtV5WlhNWs4zmT+O6+Z5sfQMh+ds+vwHOJGfZbSU5Ya7wMHpCkq7bBL7WdDXKVBGCIvznKUoC8yUaibhPvOm2oqS51ZWqfXEVQMn0t8gYsFaBrgz9lnOFud4fPFJZtyL7I8+xiCXMamx+iuiypxzmZPOz5iXs1xyx+mP/xorvXtp102k5CIBHeGq+wbro48yWiiRZ4mqLjGZfo0uvZ6iKJEU3SwUr5ApXAUgX5mh0ehjInuMTGWcvMwzU3RZQTMlR3Gs8hQVJ0dKZMg4Exx3j9IR3c9b1ac5rV7jRuUEo3KEZZniRl7TE7uLUcbZEmimPjLAy8XvMWIvAHDcfZ6SKDLrXuapzF8xIa/SqTdyoDHAevM2SmToDgsCniS3x/4Nl4vL+ESUhGokIpp4ZabEmLuIfDtl2qFSo7dkvkRGpqgXXZRFgZ7YPfiFyTr66PHdREpPoHC5mn+BHAvs9q98J/fIqwNcSH2XXmsveXuOq7kiY3KMWHAl/WIPXhHmcOFx/FYdJZXilD1MRZRpclso6yweQ6CAjVYHI3KQtJxnRl3h1eoh+vwHcLVNe/wAx92jNJr9HHNfpk41UHSWsVWJoI7hxYNHGthac8y+wKK6zqXUk7xmH6KP7Qwt/5BCaYwGncTRFRblAnldkxLEdZRjladIim4aojs4zzHOL9ew4ora6mGHWomhTUI6iMcMsyDGuVE4SsjTiEQQ9xqcUedp9K4lXbiMBDbXKc7lUnhliKpSrPO08O66f4tE1ky11kpW6i2sN28DahOIhLWSBG3kRYFEsI/N8hZCJMi5s/R5b6HBt4Zu726Cngba4we4UT3BucoUJVFmQNamYlvD72O8muWN9ALD7nFGiod4pXSW9vgBlHbIyQwbPPfQam0iZd/AFQ4mEkPUJH49/n1MuYO8kprmtvC/ZqLgciN9kFn3MhPMY0gvKXeCvLLx6RCbPB0UK3M8m/pPKFVBaYcZOcJqvYlL6jp+vBRFicnCW3gJ8NPcXwI1ctJt0Q78njgh6aErdhcX7IOUyhMMLz/FutgHEEhmS5IZhvFbdVwVp3FwyYsMBZHBUWV6gwe4sGwzTg3zPClHOFj6EY4qsT36GyyJSU6pV2gIriNGCyn7Og3EOVj6PgfTX+T8cpmSdhgvlFmh17FoX8MnPAymvo1PeLiequXUxEU75zjBYftFbot+hhPpbzBWOspLlVeIE6ZDbGAue5oz7otAzQydc2d5czlDmCDN9JJhFq/2UCLDevN2lBbcE3wvJZHlujjPrDHN+5Of4ay6QEYuUSiNMSQGiaokF3LP8NZSkT3RTzG0/EM0ioK7hJ8otluiN3AAKS1OlCYYcqeZqQxiYDEoThNRdRwrfJuh8hLdQZf+eA0w8OZyhjpPD+ftF/j+4hdYdEepOlnCsoFuTx3DhZcJq3gNgKLL5Fgio0q8Vj6LlwDzxgwvFs/TqLvJuBWksDCkn7KTZrFSRaMYzBSZk+NIJCHLQFMDOKSqgolSiVcrP0EB4/IyI2qGH2SOk7NdbtjLxIL9HC5+l5xbM3QbWOzzPcJL5acY4RQBFaQgMpxR52k21zJeKqCpGfn7zJuYFiP4rToGnZfebvSLbJL7iKske73vYZvnXYR1HIcKU/I67WIdh3N/RlwECdNAh7mZsihRctNM5KuMuYvMMcJN/vdRKI0RMVvIs0SrrKNLr+f99b9HRxB2RT/B9xa/hMCgVa7h5/nv8FZpgkOV01RxagZ1+xqrg3dyo3CUCXEJF5uBRJBmt4OUmsDQBpdSVYbyP0cKC4XC0ObbNE7Jd2bHeanyIg2qiYP5/8ZQ2mazvJUMs2gU74m+m4Rue/s+pvjKxBgeKXk2/z2KIssmYxVRoxVXlViqjhDyd1OUBRYqQzi6jIHgh5nXObVssJZ1rPDvZNmu0qp7ma2UmRJTeD1NjBReYz7zJuezP8LnqaPouFxTJ7AwuSTOUBfoIWAk8GsfHkNQJMVh+zU69UZavSFaYjezmL9MTqa4loVTiy7jpQLfXHyOXHkKQ1jcFP00lznFBrEPEy9VUcLSHnKuzUulv0YBBhYdRoIzub8BICOXWBRTLIsZxtIvYuHlgdC7GBA3s1Jv4lLlIG/lvscp+6f0qPVMqRR3R36buGogHOhlUL3KD3MvcrX8KlUX/KbkNu99tPsGsKRgr6/W7K6KChblAhvNO7gt+hm2eDt4q/A9OtRKAr4OXGzaWM3w8lOsiN1ORecJkcDVmgvZp1gU45xIpRnnEiEVZqpUourkqVNNDMQ+Tl5kyMocmeoUK8V2GkPrMYwgbfS/I73+Va1/jN/mHd/NP7FWrVrFV7/6VQYHBzly5AidnZ3ccccdLCwsvLPPY489xlNPPcWTTz7JkSNHyOfz3Hfffbiu+9858v9YffzjH2dmZoapqSmeeeYZJiYm+OAHP/hLHeNXurnRWvOpT32KH//4x7zyyit0dXX9ws+7urpoamri4MGD77xWrVY5dOgQu3fvBuDzn/8858+f5+zZs+9sAF/+8pd5/PGaVKVYrCEPpfzFj0NKiVK/fCLSbOYNlrJnkEjCsoFZOcZS7iz1kQHOF55hWU9Qb/UhhGSN2E1bcBuLjGNpC40iU53CEQ5Ku/SF7kZrhw5rgKpSSC2J6TCvZ/6UlJhDIvASwCOMGhNeVIgHVlLVJVJMczVTm44ILTGoPZTPyQWW5SymGeNCysXWLlfFJWxRpdG3hsXsac46L2BQy0zwSIGhDVrMDWTfNtd7tY9r+Zc4l/4OYcuionO000ixukSWBXpCAUy8mMJLX917mDHGyYkUfh0g7u9iRex2ptxBWsLbMDAJ+ppp9K2jQonOsElOlfEZEq8ZIRnoI0mcfrmPNXqAnDOHz4xRb6ykXF3C0l7KIs9sqYYXLpFFvn19J/wrKYoclzhOunCNwdS3Kdvpmv+FKDfEBa5mNYPOS4ylXqDkCprNtRR1hSH1OmWdwad95KhR0S6UfkqCNpbKDiZeSvYyW2O/gU8HSKg4hjaJqDoilge/KVlmkohowtEVWkPb6VHrSVdc0jJD3NdFVMXprXuIy+WDtHg2MiZH6VArCJoNLMkFXGykMLGkn6rKcy33EiYmCk3BmafgKMq6yvVKhlx1morO45EhlgrD9Mgm0vYNlko14llOz1NndlIRFQJmHbYqkWOJOTlNxDIZr6bJu/OEZD3d8ftwtcMbuf9GV/we6sLrSZFFIGnWTexPJGlVbRQoY0ov084gSdnFXOYEP07/GaOpnwEwtPxD5uUsVyovc0EdxnYK1OsOugJ7EULiERaO0gSJM7T8w1rTISaZLUsCwkuPWs8ZThK0JDNOjoXiFQCSbjMVUeWKPkZ9ZIC58gUCOkJIhRhxjjKfG+Qt+2eMlY7SZqznVPpbhEng1T7KTu2zCntaiKsYGbnIoB6ipFIEtJ+UXEShiVsrsN08AaIk6aA/cCczTg0wsqwnEEIyUTzBocyfMJlXbAo+RFAHWcyeppE6RuQwEUsSCnSTKY0zo67gMYIs5s5yvPosEkmqapMI9RMPrUUKi6ivnXa1inmxSJ6lt8EXgqR/FQ2qCdtJcajwBDHTy2JZsZwb5NXKj5kuniZXHEZIH2vij5Jhlmx5ksWKZjp9mKXcWeZypxjWx7FFBYCIrx2fDpBzbWYyRym7mhAJtlh3U6jMMSWG8RNlt3E7MdGKXwfYaNTCVrt8e2qSPhRzcpp5UuRkhqjZRlHXgBUV7dAU3UVGpmqGd23jkSEipoe22H5ivk78Mo6tXWbENRrCm2iy1mLrMq5wSBWGOFl9Fq8w8GgvStvkZZ6p3FvkZY6qgkFnlIn8m0ynD+PTQZaqFXyE8Okgm+MfY7k6Rk6mWB2+l3Ux/zv36KXqCBvFzdiigu0WadINVOwMF7I/JKIirLJuZiJ3tLbazQjJYD99vsQ79xUTg4qoknWniXpaMc0YQSOB46RriwGOy5rg3cwyzFx+kKIs0Kq6yMoso6nnaFQtxFWSrcZavNqLX5j0GDuwzBAbzTvwSMlI/jVcXcuRGku9wHLFZjp/igyzpCqasq6yx7qXiaLEK0IURZY4LZRchykxjCn9rA7eyWVOMWtMMlY5joOmUJ7EkgGuqCM1AqM7y9X8QXpDQfw6QtxcwTV1AomkUJ1ntbUPn/YxL8Y47b6Mg0tRV+j0h94JVW5X3WTkIkpVmBGLNYS9aGRBjOMxgoQsA1tUCYsGronLDMQ+TodayWJxiN0NHs7az1PnkyxUoCgLbIl8kAj1JHUdqwO3s8wkK3U/ablIm+phKXeWy/mfU60uEJRJNIrRrMOpyjN0iA0MVp8n4jFq1MTMm9jCZkcsTpNYxYSYZJu/nSajn6zMIYVJWbmccH5KVZfw4GeqWOa6e4JlmaIsitwa7mbBKbDN8y7yap5r9hxXU0+zNvoeIlYzAU89Lg5rPQcwsJhjmaK7hCFB6Ro5cl4skZKLpMiS1tMIIYn6VwC1AOa13jv5WeFvSBWuYeOwXm/BJyO42Lye+VPKriKpO2pZd3KMa9UlfCJCe3g31zIv0hUGW2lSMs1dvrvRukKj7sYWNi42hpA18IvOcDL9Ta6Is3T6d3PM/gkFZ4Emv0Us0E2buZGk24QURi38MnYLNhUulxcJmSaTxnVa/VuQwqTbu5slucSCmKDJ70GhKFdT9Mt9dIgNGNLLS/kh5isVRp1FHGFTdhUR08N1d56zSw4CyYS8ihCCsqtpD+9mXs4S8CRrSgi5SF/de6joPM30IpC17Cw3S5PuImkEmU4fxhUO53mDhuAaXByuVF4mxwJFkSPkaWBMnCMg4rhuAYnAR/iXfrb756z/Kz0373//+7ntttvo7u5m7dq1fOlLXyKbzXL+/Hmg5n//1re+xRe/+EVuu+02Nm/ezHe+8x0GBwd56aWX/sHjFgoFPvzhDxMKhWhubuaLX/zi37tfIBCgqamJ5uZmdu7cySc/+UlOnz79S/0ffqWbm09+8pN85zvf4Xvf+x7hcJjZ2VlmZ2cplWrULCEEjz32GP/xP/5HnnrqKS5cuMBHP/pRAoEA73//+4HadGfdunW/sAF0dHS80yzt2rWLeDzORz7yEc6dO8fVq1f53Oc+x/Xr17n33nt/6fNui92Cx9NIXqRZckZxqLA19hsIYZAI9uIRfq7nDuPztHCy+iyL1avk7VmKsoBSVfo8+zmXeoLR1HOk9ARd8XsYTH8PS0iUUNRZXu6L/x7rWMuSKpBniYTXQ4gEJVFAvH1T6lZrqCqXo5UfAeDVPq6rU1RFibLKsDf4UbrCJj5hcrN3M17tY4Po5z2J38djRmhyW5gWc5zPZjiW+RoX039Df/wRQrIWxFYX6KUpuougKcnYkyypPIb0EKORJxYeJ+fOonFZtK/R6q6gQpFphqiTKxjPHuJm6w68IsSCvk6+OIqPEAEdpsWvWBeJMl3NU3ULRGnC1i5FWaDO8rLduI2w2YiFl3XhB7lRPg7AtqSXFtXNCrWKsqsZkPtpoY/VspM2sY7e2L10xu9kjfd2Ho1/mLSeoldvoissaPcM4Pe2cTldZVlP8Ebmq6yV++nX2xmX1whTzwOtIW71fwAHB4WmrLPU+Wpkme2hJhwUk9UzXHdPMOiM4pGSD8b30KCaSFWvY+sieVFgWE1jU2Gd3lzzu1Sv4rOiLKrrbBSrOasOMZM7xRrZhaPLtIa2s0XsZb28hY82fIKiyPF65k8Jmg2cd65RECVOl5+m3TNQyxjQ3WwNvIegJdlq3EmPfx/rrTbCooG1YiXLYoaQ0UDC08NY5iCrRTevVt6g0xPjdt+tSGFgCIsOsYHf7fgsPWo1u827aRJxmox+JIKjS2myooArXG7zvYtU/iJe/AR87Xww+Sl64vchsbgn9jkaVBPbPQ+yy7yDnsA+GqmjWbXiagcTwcnCDElVTyTYx0TqZeacKxQdwWv5x5mT0/hEhO9nnuaNzFepVGffDoUbr+m55VbCRhONvnWcSz1RM1Rbm/B7ktiqRLE8TrNOsj7+IebUVSa5TNzbSbpwGZ+IUO/x0616uCu4juXyKJPGdVzhsCFQT6u7glXhu9gb7Cap67C0h6BZX5seCYuw0YTPinJn7LNEPJKQDpAVaSyzjsW3G0FXQ52nk1Wh27nTfyt9YjdKVag6OVp0PbZWBGSMZms9WjuU7GU2R2NMuYPc4q35YkqiRFg0cCjzJ/xG0+d4X+K3eKH4JLbSbI39Brf6HsZvxbkn9jmUKrHgXkNpm+bgRrJVl13RT7A/+hg7Qx/Dkn4KaolruZcoVheI6TDrYn4sM4YlBI2qngdbo2wLPEqSDiYrZ2gPed5piCpUuavVT7tu4lbfe/G/TRxqFUnGqyfxEgAgr+Zp9wWZz51mjdGBJQX3Bw9wk7WXsuuiUKzQ62hR3SzIRQSSpOxmwb1W8yCE62kIb2Kt9863F3A8xEU7TTpBX/hu5tRVMragQTWxOfAuHkn+PiEVxm+YrNBtXMg+RZdsRCLJqhlCKkyTH6blKOviH6DDM4AhJFGVJOBJsEy6lvjua6PFE+Zk+pusDT9Iq7GeTWI7mfIEEUtyKWuypG7g4GJpiweC97CBbewKfogd5lb2RD/1NiQBbKo8FL6JukAPlvawwltbKX4g/m+xcQhoP1m7yjBvsSLkJ06YYnmcMXkJR2lMw0dAWmyz7uHO2GdRaB6K/Su6VD+GgLDwUdEu17KKNreLhGqkWzQTsTys05t5X+xu/NrPQ+Gb8OkQD4YeYVbMsz30EQxMomYbPu1nk9jPhuCDeKSgKkpsFKsJGAlupA+y1n83Pu3jhrxKmAZ6jZ24wuG6GGSuXGbRmKWHTpbkErOlQTxWkgV9HUeV8BiSdtWHoEZiy7FED51oXMb1eY4Vn6RiL3EjDzs9D2BJGMpUuJB9CktbxFUcE0GzTtKragGNm8yVDHGC7vh9rAzdijSClHQGJRSjziIbvffRZsS51fdeFspVYrTQGb+TaYaIeqBCCQOLHUlNSNU8PStDtxEwDNaaB1ih1zGnrnKOE6wy9rDR6qAiivgMmJLXmTJusIldbAu10BrdC0BQJilWF1hUo0yJYSKiiYoos0XejikEw/IaG8VeKpRIuk3UE+U3k/vRWmEKL5vjHyNTnsAWVe4IPMItod/kUOZP0GiaVQ+L+cs8nPg8WafKmDqFQtGv1xLRQWZL58mrBeLBlawJl3nNfoFeo4mqUtwZ+TRlUcTQJsvFEU65L9KgOzGw2B99jEeiu7lePMIu6368RoS4V2BILwCny09T77bi0yFWqNX4dZAGEWXQHaHebWW+epnNofdSpcRg6tus1ms4X1zgSuVltgQfJi9ztMtEzQtm9TIlZjiZ/iZ7PGt5avkPmXRrQJvuiMnF9JMsloc5mP4iV50ZmlRnTe2gbQYzTzK0/EOa3BbmMic4lf4WAR0mZAn2Rx8jpANsSVp4PU1kRZoPxu4gXRnnYunnhL3NGJhk3ClylRksEWCucpGG6A4cXGIq8Us/2/1z1j/Vc/O3YVeVSuUfdR7VapU///M/JxqNsnFjzet96tQpbNv+BZhXS0sL69at+wWY19+uz33uc7z66qs89dRTvPjii7z22mvv0I//oVpeXuYHP/gBO3bs+KXO+1e6ufmzP/szMpkM+/fvp7m5+Z3tb/7mb97Z5/d+7/d47LHH+MQnPsHAwABTU1O8+OKLhMP/4115Mpnk+eefJ5/Pc+uttzIwMMCRI0d45pln3vll/jLVqLuI+2uNU8LsplX3ct09wUL2LWbSbzCefgXLDNAT2Md671012VX+IudST7Aj8D5Opr9JJNhHV/weSm4ahwo3Rf41q2M1ffW4k+ISl3jdfo6EDOLoMmPlLG26nRbVQkKuYKcxgETQGvCx3nsXVVHBq71EzVZ8OohHhHgt8xVspbGkJOGV5ESK8/oyrtaYwkudEaBR1ROVfurC6/F5mqhQZFiMsiv6CZrlalroq1GWrCau6RO0+Qdo0Ak+Vv8xBDX6Tou5HoUm40wymz+LLSooVWLOybPbswaP8GOaUYqkmBdjFBzBtVyJRiuIIUzCKoohJBkWeLH0NGldJECcc6knuJj/KZs892FpL1GrllHTGwyRrjpMiwVmxDVOuMfpNpOsFSuZyB5DIjhRrkEJBtWrHJ0vUa+S7PE9wi1NJj4RYU/0U3T6IviESVlnWS07SduC4+7zVEWJZbfIdPowfhGtMfZzaWaMSZSyERiMl09QVYpvLx/GEgZJ76q3aWGP02fU5BiHKz9kLPUCIauJmLmCPrbTETIJGgn2BD9MxGOQ1B34ifCz9H8mK3NUlSaukgAsl0cY8PSSlvPs9f8a18tvsFbvICOXOFt+loglOVT4S1xsJio5Lqe+z2U1yk5rAz4dwk+E3tj9DOkxWuij7CpKjsLRZZbsa5xMf7OWZyAMhsUo6+JeBlPfZmXYz3V5mVkxSr8vyZSToSW6BweHip3mu4tfI6EamStfIKNLuLi8WX2KoGmSYZYL4iwzcopmuZqirtIh6xmX1yiUJ4mH1tJgrqLRp+mO3MqsfZGZ0jl2GHdyT+xzDMQ+zpgcpk+vZpt1Dw0iSp9eTVXn6a17CJ+sPWx7zQiF0hjJyBYS3tp1kypdr2FbdYWN8Y9QUil+uPxfsLXL4fw4jf51LNs18tjZ4hwtnlCNmKU0Y3K09jBanWTRmCVXnWameJYN8gCWkAwkFFHDS5EUTeHNjLhvknGnaQnAWOoFLqS+y2gpS9II0h4/wP/e/XEWyFDWVUzho0W10Ba/lZs9DzCWq9Ipt2JJwSn7p3SLZibKJ0mENzFWLPFy+Q0+WPdBlqpV5sUYq6Ieus2dyLd9hoawEMJgi9xM3GuQlouMycskjSBr9Q4MYeGqEmV7mTrLS8mBDcGHWKhWqLO8/NHUSySNIM06Sa44zCv5IYaWf/hOkxGzXC6Is5zUx3ih8ASOsBlkkJingwKpWuMtk1hS4Pc2M+iOkLarvFoe5Mepr5PSBXwiQlEWOFn6IUEdJGdP49O1xmg2c4ySo8lWpugw6jjLaWwcBlPfxkGTZZ5sZYrX50tc4U3mxSQn3UGm5DB1XhMFtES2ccx9nWxplE69kQlxieemM9TrWljokh7jkjhDI3W0WVs4k/0O46mDdHl2ctWZYWP8IwRUkKLIMso4KwO38GZuvrZoIm5m2ZjnROkHZKsuR+xnScs0I/YC18V5hjlJSTuEVRRbQ0AmuFQ5yHOFH5NQdZhScCz3LQLS4ufpPyZqtHAjX8LWLs2xPYRIELIMHo58iLyqEpIW5/QbXOAcEliQ89i6JrMdEueJeCSHc3/G8fTXAXCVZonaZMvQJj/KHWIw9W2eL/+cOhXHg4mjK1jCxxV1BCEEXu0l6QNbl/lx6kuESNRgEuoMg+o1Vus1DKa+TUgHSDGNEAbr4n62mX3cYAYLDyFPI+uDD9JCH03WWi46N+jwRNC4ZKsuraqLEcZI6g42itrkdnPk/awIgUTw+NLT3NPqYXvog6TlIimZYkLMsEyOjMgSDvRy3V6ml23EdSNRVUfI20yIBB1qBe9tauJY5mtMuikyqsTuBh9NugEXh03s4A/HH2dRXcfF5tiCYF2wDsMIkmeJvOOwbMxzqvh9GuUqNrEDoSU5x6Ffr8JnCO4KbqaglpgVS+/k+EgkSbep9nmwizV6M7PORd7f0E2JKpmqJuk2E5IWN8rHKYsSjT4f/23xNe4JfRRbFcmwgKvKZFhgWE0xKq/SFtvPa6Un8b+9gLerwSJoWPSKnUREgIwuUWd5afJvACBsNFFwDTaIfbxmv0LUY3BNjrA32M3Z6nNE/Su4N/AAzSJBWWcYVK9xI+dwb+hDLJIiKbv5fmqQhcwJWnUDa/x31ohjIkujGeJM9nvEPRZ1qoE3czXFi1d7uJz6PhvjH8EnTdb56wl7m5kWI1zIPlX7zifP6phku6+Lh+o+z2SpyK3R36XDqOPDrS1sijnEQ2vZ5X2Izvid7A614cWDT0TZa97D5sgHuTP2WZZlCqVt+uOPMOIcxRCQNP2kRY7ZEuzyP0qDamKhrGj2b6QvcDtbxR4mc28SMhpo9W9hq9iKafgJyXrqiTIhLv/Sz3b/nKWU+EdvAO3t7b8AvPrCF77wS73/c889RygUegewdfDgQZLJ2rPH7OwsHo+HeDz+C//mb8O8/t8rn8/zrW99iz/+4z/m9ttvZ/369TzxxBN/r4zta1/7GqFQiGAwSCKRYGho6O+Ncfnv1a90c6O1/nu3j370o+/sI4TgD/7gD5iZmaFcLnPo0KF3pjP/veO+613v+oXXBgYGeOGFF1haWiKbzXLs2DHuvvvuf9R5zzBMvjpHSMdYdsZq+vHSFF2xe1gTf5Q1sUdY7T1AkQwXKi/iqip9de9hIPZxTpR+QEN0B22ezTTqDmxVwsRLVPqxZI2sszGYZIe5gQZPPxHLJC7a2ZeMsyiWSXh8XE59n0a/yVU5yBPzX6PXm2DEPkpFVFiqXiOu4ixWh9ke+y2a/FDvs2gOwL5gH2tZTdRj1iheQQtDSLbVe1hl7KFUmeSh6GZ8Osgqf5wzqcdpEXUYQvBvmndTb6yk2W1DAgMJRb2xkgbVxKx7mSFOMGDcRnt4NynnBqYRA6Dq6hpONLyfMA006W52J/M81O5jQ53JDuteEjJEu99Pq+riP/c8zO54Alc4/Fr9/wLAZXWIy+nv0xcuYyK4XijS4LNo0fVo7SKFRZ3PpN5n0hLZhqFNBrxd7I8+Rq40xbvaffiEyZScpDNYZcBYT0VUcLWmoGurHePuEtmq5l83PERVF9kUiWGaMdrdDixMQsLLfPVyzdthrmK19wAJr0G7XkOrz0+n20POneXe2Gf4/uIXKLpLbPO8i966h0jSQbvqJi3TDGaKRGkiLTOkKg45mWJRXee26GdYbTbTG5FURIXu+H10+Lbzke4KdwY3sLc+gBAGs3IOgPfVfZSL2Tz1oXUkVD1NnhD98UfYbK3EkgIXmxJZkm4Ty+oGTSLGvJvH1oqqLpEvz/FA/N8yLqYZkdcZWv4hi2VNW2w/Evj15C62iq24CvYlEnTp9VzK/pgHo7/FyvBtLMoZdnke5o3MV8nLPN2+mwiakhAJvCJEl16BX/vp8IXZmqzJJYO+Nm723Mce/yquZKFHdSGFxb2hRwmbFsPyGjEdZr58Cb9h0h30c4lLVLTLHms3ti7ikwbDhZcpVhf5eMv/ygaxj5inJsdoDQ5QLI8znT6MQhETrXxl9e/S4g2w1deOrYt0Gztpju2h00iyvq5GeDpbnMOnQ0gEIauRkIqiUNQH+pkybhCxTObLkqjHJEoTG9lKKn+RTOkGG6JV2uMH8FgNrA5GCZpGbRKpIKbD+ISHVncFO5IhpjJHiXtrzVmvVU+64rLOup0ZlabDt50eYwfrowHWM4CtYHOdn3eFduM3BCVR4BKXiAT76BAbaNYraQtaxD2CpGokqTsoKocGr481ejPbIx/BdTLM2HnaghDRIdoDPsadFPcEDnCFEZbJ0R2/j1Wii52x3+Z4+uv0hUJ4peYzzTtZoweoVGfpVN3YushKtY51ehP7or9Do9vOA202A54H+ETLKsKmhUByT+Tj3JpMcndoMwv6Olv8D7PCqiNo1nOh9FM2iH0YRoS8XcPPnlSna4Qz4ac9fgCtNR4R4Fb/o9za5GeHcTN9ejU7rQ2ESOIocLUiTD39eju/3vQ5jmW+Rpdez91NUU5m/xKAewO3sJkBRuR1vNpHLLiK9vgB+owWQipEO424wmUNq7iUepKEStBh1HFPc5HXq0+zmh7+VePHue7Os8a6hToV57r7Fm30s1nseWei5SjNrf5NVJ08A+bdNHn9bElYtEX3kvR6+GT7/0ZBLZH0eokaXgr2ImXytAYNgpbgXa1hzukLxGU7pvBx1Z7DFhUsAbvNu+nTG2gPwObIB7kt+hnuaTMIWQb31DfSGoApOUxAxumO30fYaOL17J9REhU8IoSty3QZ25gXiyzLecIWbDM30Bu7Hy81Cd92eYDVci9h06I5tgePMGhWPdiqyNa4gyGh32jDpkpctnOh+FPe29zA5zp6+a2WLobtBRrESu5srd0j8yxxMv1NDqa/iFJVrrsnCBiazXV+NsnbSNuCKTlML11MOueYrJ7mjmQDdcS4P/Re1gWSbIvFaRVJJLIm7VJ1+IVJqgqxYD8B7SdhBpgrwaSYoFut5Yq4jN8TJ1O6QatupSMkWRES9EfexXJ5hIBhUuc2sDZ0PyEVZpkcVVHh4Q6DY+7LGEJjSnB0bZGwM+gjTAMtup68zCGEpMHrY0yOETKbCJoQlwGEgJvqElhSsMVzP3XE6I8Jfrd5H4tugbViL2WdpS90N14C7A6soKRTNNLDfv+jzMgpbjgnObPk0uCzCAk/D7f7AGgLmkhhsMe4heupn7EiWCBmernTdxt+UxBXDSS8grXeO1nInKAtaLAq4iUpumswB79JwbW5N9mKgcl+31pW1r2Lep8Hn/YzWxrEryO8VH6a1uhuNtRJ+gIx7op8CiEkU/I6TdFdXCsfojtiMV+uMpN+g5w9zd7QR+kIeogT4o35Ev0xUQte9vvJiyIF12a+LBjOm9zhu4fOgB+Bwaa44q3q09zi28IZTlJHjJjlYbT8OkLUpJr3Bd9FT0hzSp1jV7iJ+1rKvKc9xKB6jQNNkHYmyLLArE6xP/jr+HWEpNvEGX0GKSwWq8Mcd37OdOb1f9Tz3T9X/VNlaRMTE78AvPr93//9v/Me3/3udwmFQu9sr7/+//pMbrnlFs6ePcvRo0e56667eOSRR5ifn///cM767wC+/s8aGRmhWq2ya9eud16rq6ujr+/vgh0+8IEPcPbsWc6dO8eRI0dYuXIld9xxB7lc7n/kowN+xZub/1krIBN0+fYQUEGCRoKszLI/9DEANIoiGTzaS5gEDb41BDwJxgvHWRYzrAvcS6fYxOX092ujU08HDhVSqsjeZJE+3cNUsUpn2OSWQD9pu2baHsu57Iu0kfQZdMbv5HK2QFlleW/db5Oq2mw0b2eKS0StNo4U/hKtFTPiGn2hCkrD5y7/e67lCjQHPAyVlrndexdzJYcGr5ej8yWmxDBr4o/SGdRcrx4n7pXsiX6KiGWStqvknFo44ai8iEBwZF5Qrxp4q/I0i7nTtMo1jItx6nU7MbOdm4IfoSgLRL0GD9V9nk3GKsoij197aY/mqCjBcgXChsVJ9ToeQxCVflwteC09zbIzRtausin4EIXKAlujv8HKWIZpsUBXMMCVQobjzs/xiBASiUeCIQSLxSGKskCm6hA3fDhOioWKwEVjiwovz3nJODZB7SdrO0zIUXr0xpr+3NGETU2PWs1z+VPsDX4UGwcXFwUkPCtpFgkCOkxFlCk4mik5TN52eSnzJXYat3FSvc6+6O+wmD1NnekjrhqIqDB5USCmYiyTplM0MVqpjXZdaqGjWVHgR+k/J2xBk04wXTzNcO5FEt4yF7M5frowT5NvHRVRZLJ0khUhgU+Y7Db20GyFWBEysEWFVVGTqqvJ6FlupA9yQ1xgi9hL0mdxS7IOiWC5dI2G4BpWhDxMO+fpUV3cFP00Awno0RvwmeCRtTto0XV5MnWCtEzzvsRj/CT3OJutlWScKc7q10hGtnAx/xNiKoatNIvuKC1uOxld4qr7BnnbxdGCuG6kYmewhGS0UGBttHb8NfImfIZgU8IkqpKUqFLn6yFimQznC/gI8Urmy0xWs0zl3mLMXSTorWev/9eYLJY57TzPkfwkBhZ1upmu+D2srHuQGfcieRbpDFY5bJ+gK1y7IdcTpVNvZGPC5K0Fm2a3jdvqmkjpCbIizyaxnaLI0ePZzWYGaHBb8RmS00sOg+UZLO3BEpJ/1fp57g1/FEfDGr2ZXYFHyVRdCo5Lk2rEZ8CQPMcJ5+dMGTeYKyk2R97P2cokCo2tNB0hk5W+OGGCQM3k2+iHrC7THJCYQjBZsDm2WCCgw/gI0WvtxcVhggucyC5wdDGHQrPW18De+gDzlTKWkJzIPs6quncjEQQMcHGp90lWehKMFLPk1Dy93pps44Q6goPLvujvYCsYzFgsVgRpkSMZ2cLrpb9mj7WbUXmJcTGNR1gMOgeJWg4X9RGmSjXyTVQleUsd44mlw5zPpgnKBDERYLaaZy0DhL0ttPsD3BH+VzzcAT1ygAfC2+lnK89nv0qmOkla5NhqrOWkeh1XQ4OvtqKd8BrcHOwmb7ukRKY2HUbTGRJ0xG+nxRPG0XBr+JPUqTjniwtM6cWaDFbU4ZEhYrTwYulpHFziHos1vnrKysVjNeDisuAUyDkmO6z7qfdZVJWmkTrOlZ7j9dw32WPeWZuacgxDCNJyEUdBxdUcCH6Y10vfI+IxiFqalWodg+UZvBJa6MOSgopy2WXdzyaxgYQHGv0Sn6FZx1o6dAcdbjcrjHpWqh7mSk5tYcv0IAREdYSAtAgYmpURQWfApeIKAsRxtY0lfAgkphklooO0q25GU88xpk4xr6+xVvZQdGCpWiakopQp0OYfYErMc1UfZ9xJ0SRWcUVcxhY2i4XLnEtbjJaynFFXyDJPVNehVJWrGU2zr4rf0FjawtQmP5oo0RvxM509zvr4h5DSz4rITaw0duNqQZMPYqaXSymFX0QpaYeqW2CltZfFcs1ftFCt0BaUnE/nOa5e443MV2t5byLAdaZRGlZ4trM3GaGqFIPZHEooDmX+hHtDm/lA7F1sDDxIo8dHs09hCgjoEOu8d7CzwWRKDrPabGbemOLRlnpmGKaqBDuMW+mP1CApvxa5A5/24WrwaA8KGCm/zhrrFtqCBpauybrKbs1rE7EEf3T932NKQVqmqfd4uZRWbIyWuCZO0x0IMZt9i4iKIpCkKi4Fe5GqqHJNjuAjSL3Vx0/yP2CqWOGcPsJ8RWALm3UxRVI1c01PsSb+KCs7lxhIWmxOSHYmHDYH6zm2mONk5i/w+9rJVDUrQtTw8nIlOVtR0S4vLyxzpfACD7dXCOgIlhRcdF4m4KlnUY+y1jyAiZe3FhwsCRrNenkL19PP08c2Vvr2cSFdIvg2rMlvJpiXs5RcTYPPS4PPy/UcNHsClF1Nkghh0yJd1SQ8muPOWfK2ok31kLElA54HmC9X2WftpMnrI2fbrPX+P9n7z2jLrvM8E33mXGGvtfM+YZ8cK2dUAVUohEIgAIIBgWJSokRJVLJsWbbC8LDc3bdHy+12kNpq29ctSqYSJVGiAgmRAhiQAQIooAIqp1Ph5LxzWHHO+2OV0VcO19eWaHt48Buj/qD2OKiz99prfd/83vd5H+dQ4Ye5M/1xFr0O/+v8S7w/fYirzS4ZM0ICj6Q+iC0VE/IgpkjhaofT6kX6VR8t2UyodME6+8zHOGp+kHvyP/HtbQT/G9e/C7tKpVL/3mueeuqpv+RHv+uuu977u0wmw9atWzl69Cif+9znME2Tz33uc0Bi9wiCgGq1+pd+3v83zOvfLf2fYQYqFAps3bqVrVu3ct999/G5z32Oa9eu/SXV1n+qvjPcfBsq1B1mg7d5s/kbNKNVUtqhSRtPN1iPZ/B0gxV5i7aoMaKm6LO3sz39CBqFQJLXGSaKj9GUVeaq32Sx/gY9RhopkgZ9RyHFm5sNltoBjjRYiS5wMrzGQitioR0wprbTY6VoePOJH0Z1WTGWgEQi05fZRc4eItIeM+0UtSAi405iCMmZ5ibvtP+AhaDJXFTlRHANWxoUGcYixWYg2Wc+xmwzJBQhnThmRWxyqRYT6g7NcIlna/+MUGkMDEzDxTL76FUl7jC3YmkLW7tsygqbLGBLWIkbnIovEeuQrvDpBBYrXcF0TlOPA2yZxb5tzPyTuQ6jso9xeYCW9umIFplUP77wuFwt4ok2jVDRki0sI0uBfmrBHCudiMvNFn3pHbREjRt6mUVVRaMJlGBFrFOPFrnRCDAQWJjkTJOF1tvMiFNIBHf3aTYDuChOsOZdJCttFJoeI83Xa7+Mo7PUVRcLix1ylGudOq1ohXf1RR4v/jyGEIk/xMpQzOwiUIq3a59NPDP132FeXmV3ahCtIWcPcUMvsxnM0BZtRmSJwexBACxhEMceUVTjTLVAS7QZN3oYjJPMnbvsp5htaUIUCs1q2GamEeKpOpGCpaBFv5jCtvvZ6F5llQpBrDm12WUjbhPHHmN6N8udiF3yQXKWxTVOoG7fm9oh/OKVX+KV8C/QGvZygFE9wJ+3/4SCO8Eb4Uk64QZDxh5co8TW7KMsyOu8FV4kY/Tii4A+I0PGLPOOeotNL/nBw5lDnNPXOBV9jcWuIERRlRVsKdj0wdUOeeEwV/0m41lJj+ng6gxDxftYlrfoy+5i0ujDC+uc0a9zhreJlM+t8G080aIt6vToIfrUEJXWJRaax2mGBvdbh5lpKFrhKgpIYbPWhTm1nrzXOtHV53WWpvIQSCIibrLEG41f40anxZF+E1unmAlf5119ltVOiESw5lvEWrEu10gZEk/FXJXnSBsakxQ7jQeJdUjFj5hVp1EoMqZJJ45Y9xQrvseMuMTV5tcItcfNFrRkkw1P8W7FY1vBot9OUSKPxKAuN+iIJgKDfek+fEJiEdEOFdUALCG5Iq4xWXiMmJBLHGexC1fFSc5UuqwGHntyBWzh8nXveaQwOMi9mBgsGrOsdJNNZjXQ9FNgxNiH5y+xGnQo60ksbE7G38ALNln3bdJGLycrHVaDDmviFpqYrfoOZuVlTG2Rt2x8EWAJScEc4YK3hiEklcBgQBZIGVChRiE9zah9kFvqJHNBLfHspGOutVusRi1mml0cgwSOwDU0ipQweXczwsCiHUV8eW2FopliyZhP/APtr3C6+luc0sfpkROcq36evD2KFoo5r0nKSLZA+zNPY2FyQ17gVtumjcdsp8tvr/8bnqv/ClvTD9OX289r4VeZ77zNcu1beCrCIcML/pt0I0VL+xxIP81yJ+B8DeaNW2R1hpvNkOvRG1zp1JIDFh2zqKpUAljuKG60BPOscUWc47I4yXrUpqMDlsMWedvgRrTBxZpi0ZhnUW9wqmoQacGSJ7lQDUjrHBNqOx1dZUhNsi/zNEtyCV8ElAt3J/kmYppvxa8iBdREk3HZj0AS6A4Xms8waOyiK7q37yYKT3QYzh2mGmjOxy9yrfIlTFK8Vfs1RnNHGc8KVj2bUxVJKEL6SKQrF+tthnKH8USLvtx+Yh3iC4+SHeMaGq0hb0sm1SQbokLWLrPF6ud4a4lrnCAlDH5/8xwxMWv140yVPsR66wJVWqyrGe4oRuRVnou1gN6UxTn1Mr5u0p+/i3cbNfaXFCcav8uC38YxFCc2IgxtsCiukTM1S813GM0aTKstNCOY0HtZ8STzrPLyqokpwDagI7qsdUNKukDRshlyD9BDjlYIC8Ep5qrfZDoTUtddFtoxdxY/wx+s/SNiQtZ8j10FydWWww59mFudNoX0NH1GhiuNryBEEtTq6jQT8RRplaGgetljP4KnIzrBOssdqMo1rjUNWqLJhr5Blwbnrw+w6cOtFlxsWCx2ArLSZmfxY5TdXbzdWuFiTbObrVT0PPNem7P6FUIRknOGme2kKKoCt9odhux9DMjtTOuDfKv+r9gv9nEuvk471NR0h025yeHCZwiIUCgcadAIAw6Wfpil2qvU9QpKQ9WPGMsYLHdCbgU18pbknDjFm/HbtELF2xuQpx8FrBgL/IuVt3CEzRVxjRW/y/lgiVUqXPC/joWFJ7v4hPzN8vs436rh6YAztQzXW4IXg69zrWVy2X+BXjVAV3jcY74fSxisqqtkKFFMjeOJLq5hcjF6+b9iV/ifX/81cm5yudx7Q8TWrVtxXfc/+lqt9Xu+nTvvvBPLsv4SzGt5eZnz58+/B/P6d2vr1q1YlsVbb7313n+rVqtcvXr1P/nvNAwD4D2//f8/9Z3h5ttQfXqUvDVE1p2kZE1wuvXHHK//Oku1V9lonGK7PkRXVelRg3yr8WtUo1mW1WUWW29TEcu8q19mw7uGr5v05u5AqS5zeo1fvSypxh7fqq1zRzHHpmozF1fIm8M8mNnBetRmV9EmIuZGtEE5vYff2/xtZuVlmmoNgcFg4R5cWWKp9ioAjTDRO39vKcHsuaT4SOFvcFm/iS/8pDGIQzSKJpt8dv0F5uUVbEOyLGZ4tvW7bDeH2Jo32akP0ejeopTdw8FeSUO02Gk9RDE9RRuP5aBDR7a5WP1DUtoh1B0GXciLNG21yZCapCrXeH65j1vNiCEn4pu1X8EkxVI7wjEM+m2HiazNrfhkkuvjvcl++QhFVURrwWFzB4d6DVqiRt4YZFFd5C7zg3zT+3MKRorl5skkxE+bnGx+gV2lT3Jio8tCdIbN1gXKrkVb+1wQx8nbkrTdS6wjuqLLq6uChVZMSmS5w36CquokJlNVwTSLdKgzKy9z3v8Gt+IN7iwW2S8fYYvaRqwVp/UpNArXlDyYeoqXvC+Sz+xAItlV/DhlPUnOkqzoGmlZoqz7eMB+gpiQZ2r/nEC1MISmo0JSVhEhJNdaBnucMuNZE18EfKRnC9fFWRpBzAuNf4UXx8zKK2RMA4Xici0kICKrclhGhpI7ddv4rlmlgoXJk4UfZ0a/zZ9s/h/UZZU+x2Cl/ibzHUlbdLnV8jhS/AnuNN5P1jIwhMDXMbHyWasfZ9O/wX77Q5yrfp5QdZj3T3Kz+ix72UGfHmfcLNGME7Pvfda9VH1FD0VC3WGxe4onsx/lxGabRwfTKGL2FAWNQJMVKWq6g5Ma5mYz5nnvy6R1Gq0VGUqkRBZLCnY5j7FWP44hLLY5D/Kp0kfZrrZzvfUyN6K3qIsK6Iih3J04hkJrOOXP0WNv4Yo4R0d0mWl2OZobRiLYnlM01DIxMfPyBuvxDBrFbPA2o8UH2V/I8aHRdbLCZaf1ID16iHm1yXW1wrATsiJXcXWGLzW+wA15ncXGcTqxYKVzli2pEiudsziGxJZZelQJQ0BTe6QMwZZsGl+3eCDzw2wE15hptvlQaYK1bsRdfQ5eDNM5kwu8w6AawNV5xvU4H3AfwDUFI1aOt2q/xil1jpINo2mHtM6jCJlvHecXR95P3oKsLKPRdLSPa4JLgXuMh1hsn+SUfp2uSB4q41mHnKm51GhxXpymqArs6Pk4kGyWRujHllkOZT5ONTCItM9EOnlgpkSWYXaiUZQYJhIhX67/JjkyvBo8w1A8zoaY49naP+dqUyAR/Hn9EtutAcr2Lq63X+ZO+T42jGVMkWIjMPCER0u26OgAQ8I9/Wmm9H7mmm+SlonsZovaSagVR7KDDKVNHkvv5dn6v6Q3s437Cn+LKb3vPZKkKwpY2uKifoNGoHi+/n+S0S7rcoN9+hAXapqKsYYrTKYzD3C48GPMByc4Ih9k0NrDfc4neLz48yyIVcZFmRz9SAFvtj/P27XPUrRNYg0F1UePkebL1X/KXeYH+MRIiR7LZs64AUCgYMOL+K3N59hpDiEwWKq9ioGBI2wK0mWpHWBi0OdICiqByWx4Cj+GdzcjthaS3ykmxlctFIoR0UdeF7m30E+sfAqqh37Vx3cX3sepjYgR2UMl7nC9/TILzbe4P/NDnKt+npIqca37EhNqO5caX6YZLnGuWeWY9QQfLP48kCCcN4PrvLTa4lbHQAgYFj0cD/+CLdk04+l0svnVWcK4hSbR2n9lXtOMBMcGLT67/H/iSIOy7qUbVqiFASdrn6PhLyZBxbrBYwOFBCigdzGSv5seckTaZ8gNGDCz3N1vMdttc1C+j7KepN6d40ipyLov2VP4OLPyKstdg51Fizfr/5pj1t2seCIZ2HzN9pzLH63fIBYxyx2IiVjuhAy4kLcgrzOUUibf8r5IqBSr/kXO8g6/V/0iO60HmSw9znzXYtWY55q/SU7n2NHzccpqkIZo04kFZyrJkNQSHWId0Y5DTCNHLQwoqiK+8IBE2tYUVX58opfhVJogapG1wNMJEdTRafrENAD/+ILFkJtsCtOmZlO1Evw8Fkutk9xfGCTW8GzrtxliG3vyOfaI+5k0e/DCGn8y1+EK77Alm+ZS9Yv0qBKLMpGvP9f8HEdS2+jEMQdzvbSpktcZFuQV/sbIBCkpGXIdVvRVJkuPE6gWJ715JrI2poQHBy0e6eujHsRYuEyq3fzwdJf9PYKUdhhJG8xUvsxn+o6Svu2bvGVcZ4M5tphl3u9+D2nt0hFNUljEGvblShzpKbDiSVqhZpe4jyM9HpbhsiSuY2kLS0gMBFJYtKmSE2XOtb/C896XGLPv/DZ2gX/1+m8V4tlut/nFX/xF3nrrLWZnZzl16hQ/+qM/ysLCAp/4xCeAZLPymc98hp/7uZ/jhRde4PTp03zqU59i3759PProo//Bn5vNZvnMZz7DL/zCL/DCCy+8BwD7dynFkBCM/y1A7MyZM/zUT/0UjuP8JYDBf6q+M9x8G+pk/TfZrg+yx3wEW7scyXwfW0pPsrXnaY4WfxITSaBaLIsZ+vKH2Gy+y1r9OIcyH8cQFrXODfbZH+BW9esACU6VdXYVUywaszREjbIDq8Z8Ag1Q27jcbDLlJjSec8HXuCc3SFlPcsT5KAUGmdL7GWYHI2I3/XqMydLjDLOT89WYO3pNTneW2Z5zGXPTbERd7jbeR1Zl2WNO4BOyRYwypCYZZicZSqwHSRDiXvfDWEIw24pZlAvszn+U7y5+FEtolrhCRa5wUBwjFjFZaXO++Qz7Sj9AiRyT+gArXajTYqn2KgXh4ugsU+mA0azBtabF+wp/l216J44heSN6hawlWe/G3G89zpQcwDJcNIo1YxlPSSpBwB+szqFRzDW/hS3cJIjPOsK2gkXKKtJPgQ/0jjBVeJicLnGk32XI3MPB/Pe9l+ljiTS2FAzbB9A6Zp81SieKGUgb+LrFqjGPi81C6y3Otp/hyfxPMqKmElKZ/QS+8Lha9zivX6VOC1sY7NVJNorScFId56P572fUPogvPLK6wKhRYq0b8VCpTKxDOtrn9fDrSAzuyf0YQ3Ina57kYE8mwUind/DEcJ1YQSeGilwhZyVbkOtqhXLuEMtiA4FB3pZ4cZWJnMmgkVwnprSpdK4n/o4wYKs1wJib5rnW7/F09gP8T1v+F444U6x3I+4sfgYpEp/IWCbFRwfKnOet97aJVVlj2jnGtp7v4qj9FL0yy7HCT5M1yuTsIR4t/CzX9Dwd0WQ0Y9LFJxBdXgpe4I5eSVZaLNZfxbV6WPa6HChlmGtDVc/z4nLAph/R0j6xiOlxE9/QR/Mfo9/M4McN6qzQp8cxhGCrNUC5cDcLtZdwlMuaF+PpiGI68fCEwkfpkHG1i7crNsMZg21y5LZ0x2Cv289o2qHuq4TSF0t26MP0mxmWO++idERKOxww389G5wrbcpqrtQJjrssNfZpb8UliEXHNe4W0GVNWZVa5zk8PfYqPFfcylDtESmo+1ftDCAFD6TsYShsMsY1LHCfWYGEykRWca1apebdYk2vEyudYOcPlWsBUznrvtHt3PqRXTNDG41rnBdLSxDYE692YtbDLeOkxJtU2chbEGs7VvwjAMff7qIfQjiCt8wy5DgNmlhfrC4zqMZpxwAH3CfrlVmIiXJ1noe1ztZHgqe8xjjAvb9DVdUIi+uJBNlWLx5z3cbL1Rf7xwilG2YUtBdPpLL80uZMeiky6uWRrHU+wL/0kJdPmkPlBTvrPcMQ4hG33U7RFsjnTKbxYMa4m+IG+H6WlPabVFry4So8Vs9vtYz4+w1gqhx9DX0pxIXqBlFXgW/FLWMJgSS5hCUk7Usy1A2wD7sv9KEflMQC6wqMrGjxa+FmWvDOksLjXfIShtMHPTf7PvFL/F2yTI1R1m6G0xNYukVY4ZIiJeCLzUXpTiaeoSoMlsUqdFUKl2GtMsRZ2uT/zQxwp/gR9TvLInTT6WIkb/L2pf0CflUIIqIUBtna5v1CmaAtsQ/Kw/RidOCZLL8cKP81oKsMVcY5B12YyZ7PV7sUxBBf8r9Or+okV7MxHNKOQ641EXrsgr/OA+T7G7SKhTnJU3q216LGmOO19mZxhU/VVIs1SFQasDA+kv58oriERbO15mrqsc2fqaaqyykDuTkatQ/zAeJGWCuhLpRhSk2RwGLfvYn8xy2Jb8VA5xJSCh1NPc7y9gGOI22jlFvdZH2ZC7eBM9XcYzpikpOabS10ez/0Ux+NX+Xrtl3GtHpbEKt/b/4t8sviDTOUsnsrey5W6wtMNLot3GdZb8HSCE/7GSgYp4NnlOo8O5FiXm0xZvWzJPsT5WpfZlk7yl8jywmqHP6qeozd3B68GbzDf1hwUh1AaFtohT5a2cD0+ztutFbI6xw9MazZ9+MZald2FDM91n+eQ8xEypkGjfYWt+g72mY+R1Wnmai9SCwS+bjFl9ZCXKT5a3E1IIm2LNXx4JOSGeoeYiLutJ7giz2AZadLSpCEbzAZvM+S4NJXHNqaoBJJjA4K03cvR3oB9+hC9KU2JPCYmPXqIH94iiRRMZAVjbswOt4e8yhGILhO5Y8y1QgTweObT2DrFpUaLgIg7+0yO2E9ztC9LSY7RCBSPF3+enHSYVLs40fhd0nY/uwqSV4KvIQT06CFCIhaqL/LsYsBi2KQdKUpi7L2+5cmeCdqR5nwlxIvh3YrHufg6W/QO9ueLNCOTlW5yuFrxNVt6nmJbNmItbpHVRe6x9vKYcw/NKGQiZ3Eq+hoF1UtKGBQsmGt5xAp+bNciA66kIRtUA5PHnKfI0ss1/RZrcYtFscYwO5hSu0jrHPszT5O3hrjp/cepXv89lNLiv/jPX6UMw+Dy5ct87GMfY/v27TzxxBOsr6/z2muvsWfPnvde98//+T/nIx/5CJ/85Ce57777SKfTfOUrX3lvy/Ifqn/2z/4ZDzzwAE899RSPPvoo999/P3fe+e8Pmb/xG7/xHkDs4YcfZn19nWefffY/6M/5j9V3hptvQw0UjrIpK9iYVNQsS/IGHZVoE1siMUQdko/RiTYByLpbEMLE0hah7mAZWVqySSm7h4I5mlBZhMFERjMWTzKiR7hSVzya3s+GXMZEEhOTswSNAGwzw1dab9OUVdLCZlPPEopk+xKIgKpcoxLcQiB5IzrOqKs44A4x1w5Y8jyWjQXOcpqSTJO3JD1Gmqv6JovyGrZOkdY5ekyH6VLSxL8b3gKgTZUIn7ofUw8FRTFMjxqkaNlcCl6kpQJSVhGT5GQmFCEzDY+sTiOlyyv+HxPhk7dCyg68stplU1aYE3M4pmAnd/Obq/+CHUWTWGtqkU/G7OemTKgnFxsWppDUWUkSnK0Stsii0VjaJtZw2P4IGcOiG2liHTJu9FCyNVdb30zw1qnkxjCop1loh5TVIEpHdOKY6bzJRldREIPcY+3ltHqRRzM/zN3p72ZOrWNgsCZusSmTz3V7wWHI2MMCl7kozrJBgyBuk7EknXiTapD4pabFEC1RR2uYiyucr3rUwlksTNJmL55ocbhYYpsxyLCrmG0mGTu2mUcIaEcxhoCiKqM1SGGRV8lppqVtJtR2yg70WzsIYoi1pmxkqbUvMZ69h0LK4JI4RyMMuOJt0pfeQTtURFqz3PUwpeB0/XdpBJp1ucmNdpeZpma1cQIv1mwvWLREjTE9SDkeoUmSIzAvr1KL5ql5t3g7+gvGdUKJm2tFSCTleIhtHKYVJY3cSOEBtooj7MhneLtaoxEopvVBpvM2m1GHYTvHyeYX6BdTxFrzvHecL1d+hWrrAvO1F2iLOu0oZiloJrS/7H5askk3ilmWi2w0TtEJNuhRgxwp/gQKxYaniTWsRq3ku0gvSicNSCeO6bdd0oYiJOJmvEbKzFFpnaWPEkNWFqUjHENzopLizxp/yl7uZbP5Ln26h1gFXG46VGUNV5Z4Z7NFJ4KV1rucr8HNdodqELLmXeRP629zM36bAbmd3pRBzrAp2RoLkx5nmlD4jDtHOL7usadkYxuw4YNjwnSuQ1EVWZbXiWOPjbhNpDTtKOaKeIcMJdbkGu0I1ryA+3I/isQiZ9g8t76OIQRreoYBVxIpzYd6xqhQYzDlJsATQtI6y7AeoKUCLAk9VgrXlPTpEVxRYCpVYE5eYsNYphXGjOaO8kDqIG/XPouC9zxNfVYKQwga8QoSwRJXOKOucUG/TsEZw4sVQ+k7mKnH1OVGkh/lmLR0l5QhmJOX6GiffmsHGTOmFcYEcZtQa0wBOVMhhKTZucYBcT8rusa8fxJPRXixZiRtc7XuodDM6EXWjEVK5NkMZsibNnvsR0hLi1VVZyILJ6tNPlj8eWqRj0QSKsjoDKaQKBRLXMaLFZYUpHWOUATUWGJYb2FRrCGEoCmaVGWVZTFDEEPWEnTiiHuKyWCyEfqcqWgMIVmJLnC21iZraiwhuBFtsKgqrMSXSGHRjCIqwS1qfsyNpk8zirjZjNBaMSsvc9OvE2tBhKYZh0QoevQQALNhBUsYjBkHKBgpxuJJ+tO7eC18FoGgx1YUdQ4vVoy5LsXMroRSpntoiRqz8jIxEdv1Ic5VP08lEJzTrxEozZCZo0tATS8SKtBALTRISUkpZdKrkoObC/U/oVcNsKbrLBnz7Cp9kk6UCLJLts141mFE7MYyewjiNhMMUUolzdKmp8mYcMXfYEBsYVztYkgW2ZQVKu1LtEKNIQRTbp60CWeqv4MXx9T0ImlpMt/2GSs9wrx3gumMy7XKl9hi3M1D9n1U/IhQKWKtsaSgHWlSRh5feByvfZaSHdFjQ144VDzFh9zHWDXmWfE97ix+Bp+AQ/kSEYqUPcB0JmaL2kfWSkAj1+ohy/IWG2KR2WZMMzToN7YyIvroaD/Jq3Hu4h31Fuv6Jo86H2HOa3JevYprGryxFtKNBbX2JZqRgWMYzLVhWaxwpv4HCdrbijBlcu8C+N3Vf4JC09FVuqrKm/Fr3F9WVFWS6zdgu4zbRbz43273NOvxDBlLEmvFpmrRFE2O5X6MfeajrHlQ61yj7isc7RIQsbf0KUq2Ra/M4BgCA4t7Cj+F0iEpQ/OON4ttCP7Rwhepqg532dtYFitU/ZhGaOIYAl/4rHk+dxp7CHUiCV+IzxFrzaYfMp1z8WKwzTxv1z6LLQ1Mmciua4HGD0xuNmN2GMNYUhNpTb8qkzX6ucY7NFhPkNgYdEWbM60/perfQoj/eBP+30P9twrxdByHP/uzP2NxcRHf91laWuKZZ57h8OHD/97r/uW//Jdsbm7S6XT4yle+wtjY2P/Pn53NZvn85z9Pu91mZWWFX/iFX+Dll1/mV3/1V997zcsvv/yXAGKVSoWXX36Zhx9++D/r9/jOcPNtKFcUUSjW5Aq7OcpOvZul2qsUVRlfdGiINhfEcWqdG2w038W1erDMHublVRrREkPpOwhEF1O6lPQAa+3z9KkhaoFgTz7LnkIa15SUHcFOvYMVY4lZeZmFdsiugmbEvIMPZ48QE3I8/jq9YoJ323/KydrnsLXN9epX2WbdTy8FfrTvXlY8ySODit3FFGOuy0628IB1BF/HbHgR9dgnp0tMql2syjlyOsdo1qSkB6jqeR7OTvP0aNKwOmSohyFrHgyrYVbEDS5G87i3T7A+nP0eaqxyUr2Iqx2mcg5tPHYWnqbH2cL11ovcarv024q/vyemqAqM63G25gQXeZPe7C4+t/EtNlWLMTdNTMgefYBxNUHJ1qzoGvdbd9GrRzlqPwXAklinKzpMZTVZaXNCnWI0A9v1bs7pa5yrau5Pfz93FX+Mb623KZDlcvgyd/ZZDKfSTBmHeSt+g6wJkzmDshrkbLBAELeJ0UTE+MKjJdoEuktFz3MoNU7RFkwwRD1Y5EOZI5TI8aHMJzjVWmOHPIbSmn3mNNf0PEDidyFif49DN6wSErFT30FbbXCh3mE+rLPUlUS3jXkZ2cv1ZoZ5tcm7jSqhCLje1EypXdxZLLBNHEXd9h4MOJqbzVdZ82IW9QZfqvxjJoqPca3yJY63F7jfugtbGoybJSxcbgU1zlS63BJz9KYMEBI3mUlp0matG/JQ7qewpWCloxOZjW1TNrJM2z10dcSk2sVB+TCT7r0cMN+PJtG1G1IwL69wjROUjSxnKwHdKCYj+1iRt5hvBdzXW2TTD7iq36IR6MQj4Bj8wsTP0Kt6ONgjedS5Gyc1xIOFv81E8TFabLIRt9mXKybUKvk+Wmyyputcb73IdOlDFJwxTjZ/j5vqJHmR5nAvBDF8cKBET1zmhvcaUkCvIxhKW2zNm4y6AYvyGn2UeDL7UQbyd1O0bDpxzJbMQwjg01tX+GD6uzgRPcuHir/ApyZT7HM/jBcLpJYMxqPsLmSSrYyR5XCvZtRNs6w3SZl5JtUusuYggejSCBQXuUo1ELwTfBlTpIgJGVIjbMk5RFrjxVD1NYvtmPm2y2v1f8mY2o4mCR1e6QZM520eTT3EWnSVXtXLYgfOcJJQhMw2XmUjblMWBYq2JiP7CJSmoXy25yIc7XIunMexivSrMm/XPsuLrd+kbLk0Q8Vy2OIF71vv3fO8WHGveTfTagsv+c+wU+/mcJ/gWOGn6UsJmiG8tWlyMVrkRqfF+1OP0hAtHkkd44DcRr+xla36EOe5QJZehjKJ5+P+wiBf67yepL93oyQNXd7E101iLdhWsLjHepKiLdma07y+Jumzt3NP4ad4K/hzniqX2W4/QDnlsKNgYkooWBYVucaxzCQpnaZCjfusD3NNLXI1/haGEAwbRcbcgPv68tjSYFkuEoqQ5Y5i3CxhCEGv6qEoRriiFhDAFqsfU5sUGeaWPoOrEzneLnuQtMowrfYwlIaqr5BCcLxWpRNpLvAOW/OCjGnyE/3fxfdMuLy6EpCxBD871ceR7CC7xb1MZdKUbIs95iNYUvD4cAKvuBqs86j7vdzBIbLCYSAVkjMsBmyHilxjSCS0rlPtP2PAtRihn0VVxRCSg9zFR7JPkzYFN1oGbwVfJmMa3Oi0KNu7GBK9OMqlHi9xB4c4X/19Orclips+TMk7uRotEyjFhpEgYAfdZIBb6krmggZFW/CB4Qxf7/4JuwsfZVXMkdIJJXBTzbK3KCiYiqJtsCUHvvC4N/MpStYEtpQo4E/qf8CuouBEpcU/3Jnk01zRb3BZ32CbHOb+7Gf4GzvX8WLFAwOaXjvmu/t/ket6gbwcYkfRokKThdpLbHGOsa8E31f+RcqiwGbgM561uCXm2VGQXI/W2F3QBKrFYWeCBws/QzUwudWGvSWX18MTnPEXKag+FsQ8fZS4K9/Lu40aV8UpJtOJ5yAvU0gBUoBrSo6lDrBT7+JoWdCMJGmd44R+kwEzy7HUHkxS7OMucrLMXFxh0s0xYO7EloKcZfCNJY/7Cn+Lry/BOX2FvQXF9c4rHMr/IK5OoTRMZwIOlzykgAfyf5OqrLBQe4lAd8nKMjkz5qJ6jZucxleKmXCV+bZmTs6Qt2DE2MdwWjJr3ORgrpft1gAZkeJ8/CIzjYC9+Y+TtSWX1etcVW+wHF9gxqtiS0moNBMMsSCv3L4nCB7KTvLEiObnhj/JgVyJd4M5FDF52+CDu29xoJiEjKekwWrQoRYatESbB63HuOnXGM/Y7CpoXmlfIYgaGEaeiazNqBtyd2+GdqSYqRUYyUiEENRCg7RhsDObp1ePUjCGydPP+ervo9BkdYGduQ8z4OxF6ejb0wD+NdV/yxDP/xHqO8PNt6G6uoar0yiRNBpVWowWH2KRi5jaoi43KYut3J/9IXYWvguJZGv2feQoU2meYyO4RkzIZusci/oiHyv+OBtymcs1hWPCA/0BW3OQNjSzLLMeXuGJzFGGMxaOoYkJeaV1g6fz+3nMeRKN4gPZz3C0+JOcrH2ObaWnKeg8K2Kde3q7eErQY4eMpBVKQzsOEQJuyOtUY499+RwKxYJxkzE1zdHeHJueoiKWOSTuZntesxmYDOopHOXyodEUP7Yt2V70MsouY5RHU4/gGJLnvWfZonaSMwa5wtsYAsbtIk3WKetJss4QvamQJU+y7qc4G7+AIw2yluZvlt/PL40/ltCnir3UgohH7Id4K3oOE0G/HeELjwcHYcLoZ07OUtIDDOt+PlyaTDw87d9lh96H0nBL3qKjqzw6GOMTsikWeXggzZrYZNy+i6wJN/0a16M3KIhB5tuanpSmJus8mBvnDusD7C+51GWFPtWPpS2KYphxduOakjfXO0xkUzyR+QQKUGhWghZ73X46sk1vyqbPMehT/azFV7EwOeAOcaMR8X09P8K+XCk5IRclRhyXFDZlR7EQJxuyCJ+FrsHB9AA/MF6kLWrc16/Zks7zB7XnmbSLDIoSaWny0opiOHuQvCXZ5wzdJkBF5NLb+O7yKLHWPNf8LapRgEOW7W6JAz0uj+d3MODC3bnPYEnBNjnMoWw/WctgRS4z41UZTAvm9FkW/DYbcZu3wrOEOmZVLnFdXEGjqMkaz7d+ky35RI/7uHs3H0o/QkuF9KZMGspnM7rBhNrOfQM2N5sxf2O7YI+4n15HcG+hP5FwubAilxl0IgZcydHUxyhIl00/8SqkRYqJLJRFgXLK4Wb1WXY6fQxkDzBTeQZbZjmS/TQDxg7qtLhQFyjg/1p5jlU5x5RzH2e7q5QdaIeaS7WAry45DKktzIsFirYka5R5M3qHfSWHFC6mgL5yi1LK4H7rKTSaV1Ylh7Jl0oZGiQRwMZmF+VbAHveDBErwDe9V+ihxxHiUIz252/eOOpM5g+/t2ccdRZ+HnU/SjjfZrraj0NzVG1P1NUEMP761wda8ScmOeLz480gE23LvZ0Fe53BfipINW/IGh4xHALirR/FPJo8QEZOyiqRFit0lm5ypecjZx719IebtR8InR0s8kp9kxNjHWCrHPYWfYiR3GC9WjGYMJlJ5fqJ8jOvxccrxEKNZk7mgxhn9Lf7+2Mc50OPSChPfTCPUDLrwPRMNelUPA3aaZ1pfZEz2JshnMyH5rRnL3GcfwMTEEGCLNPuLii16PzPeK1yJl5AIQrrMN16nE0sE4OuIL7W+Sc5M7reHzV2c8b/Kk9lPMOgoypQo2gZ5S3O23mQobTClJ6gFMR3qHCsMc03coFf18lTmafock3fUO0gBl2oBWvOeBC1lwGLYZGvB4jxvMKUnmBbDaCBvSVqyTlc0cGWJi+FLtKOIWb9BXqQZtrPsyIV0I4WnIkoyzS/f+se0wlV25wP2lgyGXUUrkmQtg06kaUYGa92IJWOeHQVB2RXUZYX1wCNvKWqRz925QUYzNh8atdiac7GkojeVSBPTOkfeMnne/wZ3p7+bTT8iZ5r0kWdDVFjUG+RtgSnhQDFgm/MgN8MKu3M5Qu3xtnqFFXmLstzKTZb4UPEXSGuXydLjiYfLKLHXHmYobdETl1msv06vrdn0FO8fbHCdkwgB/69bn+d7it/NleZztFXybJgR7wJgCM3FhuS+/piipdhnTgDwdH4/L3rPYEtoe7c4uRFxZ0+WDT/BUu8S97Hgn+aCuk6EYrmV4fUoSUdPG4qloMmQHsTQJlMZzR8/4HNn4TNMikHWPMmDAxJDCPpSKd5XDqjqeZY7cMAdYtgJmZaHyduCATvN1nyLvUXNelfjUmBclFniMk8WdyCBxU7IT07nCFWHxeAMFxuSK+I6KUNwwVtj0w/wYo2nI2qBYFe+S1e0ecw5xjl9hamcoM4KhpBkVYHDuTIA+8xpMpZkb0nS1j7TToFYww69jW4s6E/v4nr0BnNyhm+uukxl2wRKMpbuMprK8HB2mi2lJ8nKfsbiSRa7Fg9YH2AbdyWfGUUms4LF1gkcAxqsc7mWKApcE76w/o9YpcIO8xgZ06D/dvDl3x99kozZT7V9hUP5XkazJnnb4But36TIMNPGUW40IrbkYK5johF8pf0G31ueZJpxNroRZ28O8ns3IKVTyffBcOi3I0wMDvSa3FPsJW8LtIZRPca91hNMFR5mOgtFK8QxNDfDTY5MJaS8ZhhiiGTjXrAFm2KB++w97LFGOFr8SWbEu2yIRVpsIoXxXkbQd+p/zPrOcPNtqG36ECebX8DXTVqiw4AsJLkCqsuc9zb1eJGSKuEIm7IaZCd306WRaGdz+9hi34ur8yjlU/NmaUcxN2rfYDXwWOkoUlLz+ysLnK8qelSJx5wn2fRj/Nv76H5VZr81Qc4SNMMQT7QIdYzQkm0930WoPdbkGnVW8GIDpWG2kyJtaAKluC4vEyhNpH1KhkMjVNTkGpZO0ZBN1rqasivxdYtN1cZTgnerkivRaxRFmt9YnKfup1iRqygUZ9Q1cpakE8c8bH+QhmiToURaFglUchEWGORWfJIp4wg5MyJjwo22xTHrCQIVE2tBK4K5jmTQSVELNP2OxZLfIWP2kzEs5jom02KIeigZdC2yqkBB52loj1oAtlR8tPAjpIRBIxTcYWzHVy3qocF1ThLhEyjBgdQIbaq0IqjLCtXWBUbUKMNpwUwD8irPjabPsjFHxhQUVA8xMaty7r2AzV9b+CWKls1CO8A2BM7tDfhF/QauKbgZvIUfK+q+4jLHieIuK3KZK50at6IKkGQAtaOIcbWV+8qayxwnUIKqXKOHUSbVbrZmQwwpWOhIptRWLjYSb8Hj7vtoRzGeiriib/H4sGBQT1H1Y17136Uvs5Oqd5NBZy+dWHA5WubRzKcTzbdeYTRjMJrWlB2oBgmhK28l10cjUEznkiT4u/K9eDFs4U5ORc+xKG/i6Qa7czlabNKjh6jrFQZUPztzH8bXTVaCFlfbDUKladKm1xGkhMlG4xQz4l0KlqbsGHixxESidEIpKjvQDCEWEb4SxFrTZzlEWtEN1ulhlJQwuNlKqGAZU7Kr9ElirdmtD5KyB1lunsSTXW50X+Ot2q8xnU0+l+8vfRBFSIsNijqHLaHsCmqRz0gahsw8K9EFVrsRK91z9DLKuqeYjU5gSc0vvbqFa60OWdPEEgah0uQt8JQgImIhPocERjM2WZ3BU4Kd+k42qVPTHSq+JtQdAtWiE2nOVHy8WFKyLXaKe3ip+wWWjQUsoelzktPsTT+FJTVDmTYGgnW5xpX6V1hqn0IjiLXgSi2i305hYFALJT12REqnKDqTFC2bZggCCJUmYyQY5VgLGiE837hBWfdhSHiz/q8p60kcQ5JPfOrYEsbNg1i3ZabjdpEpDrLchblWjCFhU25StAW9doxjRLREB0PAR/OfBMBTERlLsOpfpKOrxFpTZ512CH1qiFAJVowlXKuHEJ9FYx6TFPvzn2RLtks10GgUd4pjrPgGjVBRShkUnDHSpqRgJTTHWGu6MRzpybHpK96Kv4YlBZNqGwA3my9zXr9KMSXoRprH3XuItWAprlFVHWb811kXc/Q7kolUnljBXu6lrX0qcYfoNgAgqwpMqa1oYu62niBtGJyPXyTUMXNBg0sNi5QhORE9x4Zu8ETxZxlK7SNUgusNTcbURDr57mcsSaBgIG0S6xANWFJQVoN0CVjuGoyn00ngaZAMdn6sGc+1ONVZxjUFj5SGuRqsc4/xCAYGOcvgnfgCzm1d/JDoxTHAknClaeHRxtAmjgE3ql9lXOwnTz+9qpcphmlrnxvyAq14nVFXMZROLoa8LZgXFxktPsiluqAbKdqRhSXTxBr+zvAPkrcFPzb4N2l487zZ/jxb9H7W6sd5c10xntHMdgzakSRvS06Fz9GNYMy+C63h7sKPc9+ASa8N810TAwsLk/3W4xRVHyNWjnpoUjBHaEcCjaAjOlSosRSc4c11iCLjvc0mQNZUSfaTKym7HkflMbKWwIsV//e1mIpc4XytzVdbf8BKxyUlNY0wOe3vTVkMs5OxtMY1TF4Nv4FrxIzLA/TZ26j6mmk1iSlgTPZyU8ySMRP5+Fg6xo+TfB6BYJvamoAKKHNSf4ucTg46bnWbNMOQRhBTDwTjTo5lr0vRlqQNA0smkI7dxsP06CHaIZiGwjFi1v0UA2lJqGE0nmK28SqLxjyOoSm7Jt9q/jrbcnBTzhBpwb3p72PMjXDIMpg2KccjiUm/9EkW9UVaoknelgymXC43m6x5CRV2b/7jvNuoYggYTYOUNgOqn4pYphlFeDFkTE2vrXjMuYe31gJCrRhImxTsgFhrfOHT0j4DaYu0qUhrl8UOVPwkesExNP12gpSOdXLwCjCWjimLApajuFIP0Ggk4BiSiq95zE1kVLN+A0ObbNH7acYriUzXT2iN/z2X4r/Qc8NfTZb2P0p9Z7j5NtTp4FnKuX2kKSU42LjJzdrX2CPuJ2MP0Cen6YguX6/9MieCPycmZqvexaq+Thh7NEWFCJ9HCz/Lxws/TF11OZT/FB8cTtOOYk5UUzzdN8YHRzSbchMJWEKw6UVs+pKKrFILQm42Y1apEOuQy+Iil+NXKKg+UqQxMNml9/HmZopYJ6dnfzIbMJQ2GFbTeHHMPvZxnisYQrBdbWdEjZLSKYJYc7MZslR7lXc6f0gzFNzZo+i1t3JNXuNvjY3ybi3DNjHGwdQYx5ydeLGmN2URKJUY31WBSbWL8QykDElW52h6SwyJXnocn6IV044EL3h/RNGykWj+vH6JZyrXme92UBq25QXjboZ+MUUnjljz4CIzLHfhy61XUEJxTZ5lw1hhrRtyvZXo/V8Lv8q1esRq0OGIfJCvLUbcYzzIRucKGVNz0VtnUE0ynYmIRUTWnSYkohqAF2uG7RzH4xcBWOtqJu0iBgbjaisWJoY2+Vd7/yceHpQMpW1cM9Hqz8lZ7jEe4Y6SYty+i+vRGrN+g53cTaR8SqoPheLD/WXWvIA+RxBrRVM0+eKcxw4O88eLmxw2dxETcbzzR3QiyblmlXqgkzA+X1MJfbqRYlO1sYRkNbrMjVbSzNQin8PmflIiS8mZIquL5CzNGGXGsw5fqf0qge5iS81fLHikDehNwYX6F5ltgS0lhZTkrY0W4xmHQGku1DvUZYWnsx/nXusAR43/BwXpCw+JZN6Yo1f1stw+w65cgdeav0HaFBjaxDXgojjN0eJPcoc4wrma4ERjk9mOxZJcouprljuKAUfx7maUnBB3k9+nGYUMp1OM5+4noMvRsk3djzmjz+Oagkk9TsaSXJfXGMncxbHMpzld/S2OpD7KWOkRlrqQNsAxQGAworZxd1+WRggP9vt8fCzDzaYmUppp4yjTeRM/rDEbnaATKZSKqIaS7XnNhqhQj0JussTBXkkrhE1fMKYHeV/q/dRCQaA0rjAJVaJzXxU38GSX051lJthH3ZvnYCnmcJ/NYtci1hpH2GxNP8zV6pcZTXtcqgWkjWQoOV+NuVwrMC9W6NKgnLuDsezd3GzGfP/0Ks0oYibY5J3wq2z6ghvtFCksAtViIWiQtwTtOGlGLal4pDTMui/5Z4tf5IcGp7klb3Crm/gEl8UMrShioQOnwuvMNDSDupestNma04xnDQ7meplrhTw4IOlEcK39AkrDiBtwfKPE9fg4OUvSDhVCwHTOfe9QxsLlpl9DCgMv1ig052uCkXiM/eJBphlnM7pBnn7SKoMXG+zMayqySqgVax5815hmtROxUnuDmXaLQEm2m0O0Q40guZYHXMmjqSf489aXuSpOs9yJeTDzafLGMMdrm6wGHq4hqIcGD5T6SYsUWsfs5yB/WrlMxpTcbIb0mA6z8gr395YopgR/0fw3NGQFiaAWzHFFnGUwbfLh9EcomimqcoOxdJJ19KHMd/FEuZ9PbxGU4yG8WLKzIChaEVlTU0oZPNN6kS8u1GmFihE1xYmNOPGCCJPdmSJPjiVbl7e9m9iGQGm41m5QLjco6QIpCeeqXcoUqasuKWGyqyCJdYgpBI5ymWeV9r+FSpiwFiVY1lutkNHiQ5QpEtClx0jfzmqp042rHJQPM5r2kcBIRrLe1eznMNvUflwTdpcsNnyLIsMstCLuLPmECq63umitiKIas/IKdxY/w6NDSTP2+bUrVALB251FHnU+xtaEe4JtwKdG+xh1Q0bcmJypOSyPJp+dvMWxnl6qUYAlNTOVZ9hX6LDQTbbgZ1tf4oD5GP2u4KXFARzt4qmYsqOY7RjEWjGSBi8yqMQdduRiNoOAo/0uU2or/bbDYfsjTBfrXG1KAqWY0hMYArqizWJX8Fr4PDljkH9w/SYlXWDdv8L7h5Ih6M3aZuJNUwO0I4UjbLqx5CevnsUlRd4WvND5PDMNuNr6Jkfk/fgkUq01ucKiWGN7weRqPdn4nVLf5KmRAEMIJtI+Dzp7kAhask6fI9jsOthSsdC1KNnwevsGt+Ql7sh9gpF4jIm0z+VWg4+WfpbLDfh0335uNRWjqQxeLAmFz2QWPNFlLCPoUseVJeqsULAFM8EmWWnjGIIx9uKJNueib3K62mLQURx0PsKqXKesRznU67DUhXv66glSu9vlcL/NoJOiHWpCJRnL2uy1hxlL5XAM+H9fi+gxHc41q0iRDDBXm5J5v8m1bo0iA1hCM9txbnvsTL55fpyJrI0lDBa6km6UKFCe67zOzW6DjmyTv53ztE8cw8LmiPlhZhrPf7tawL+W+m9FS/sfpb4z3HwbasDdR0mMoVGEhJgYZJxxfBGQlkWWorNsiEUeLfwsZWc3kDDEh9hGFHfJ6CI32q9iC4PObZSviUEtEKSkpBEmTXUnFgyqAVaDJJ8iYxo8v9ImpR3a2mcsY6CEYqH5FgN6nKw1yNn2M3i0SGmHhvboxprxtGI64/G9kxahgoJIHgCmFGgUWUuwLDZYkkssietcClaYyllMlh4nVkFC0bIiIu0R6A7PLsRs+JKWCrnWrbHpRcx06ygNXR0R65CWbFK2XHKm5rh/lQJZhEhOpH7tag8rnsFkOmZn6hEU0IkFjs7g6DSbssKtbot2JEgZcDN4iwpNspbA1i7tCLy4itTJg7yp1kgbBr6CFb/LDvMY9TABLKzoKntKNrHWlNxpbrUgq9P0yxzTucR4GauAHiPNQiui6ke0o4hHU+/HU/X31uASQUd06TEdJAJTwKonWOuGjGcSidNgPExD+fhKcL76+/RRosdI83L9Vxlz7uKOfIlBI48XC1Z0lYqvmRULDIleTASLxix7Mj2kTcn56u+zPfsYq77BiJXDkHC29nkGXIlE4CvFmrGII00a3TkirVkRN/EJsWUiQ+hhlNPV38KWMOBavNme47t7f44RuZvJTEzOtHhjLWLTh0J6K7UgxpCCs40aQ47Lppes/4cdhy4NtuQNYp1sd55rn6TmzyGR5ESZkTgxGn4g+2mqfsyx3I+x1o1IixQ9tibSHlfjb7GiqzxYjjjW00s7glD4vOPN8op/gv5URJ9rYmNiSbirJ6JKi1vtDn16hILu4cWVNqYU3Kh+FYBX/T/h1xZ+iZnKMwS6hUSwo+fj+ARMqt1MZpLkcYEgSy8uNottxWQ65mbHpmCp21vKmBO138AQAsNIEsK3F0wcs8jXFgO2Zj1m/NfxdcQUwww7EaWUYK2ryJomQazImJpmqKjpDqGCdblGN66SVVl84dEQNQbT+1nykmydCzXNlWD1NqBB0pPdiyE0C3GVta5iMN3hYjRP2oiJ8FntnkehmKk8QztUzDZybM2nyOo0jlkg1pqfvfabZGWSP7Msb/F/3PjfONLTomAbrPs2gYJBJ+Z+6ymuNTTleISRVJbR4kN0ok2uy5tIYFAN8VzndXwdU0qZzDQFWTMZ/gddi2E3oBHC9sxjrHYVrcjAU4Jx8yDrXoRryve04b+7/uuM23cxrrbSlHWKqsyWnKAl6uRtgSEkp+NvcDx+EdcooW6fvlcCi1oo+GBxkivyDKNpcAzF7pLFg4WfYU2ukDFjZsJV1gOflAHXGpoeG9Kmwah1iJwoM5Q2mJOz3G3uZ0uqxHVxhakc9KcSj81Z3mTKuY+WCthnbMGLNbYh6XNNSgyzLRdTtAWZ1ABdVaWjfYbtA4S6w79Z+x0uBStkTIMRPYIlNBnTIGNK1jxohgYlmaYTS8bTSUNsiGQzbgqHj40U6U1Jlo05irYkYwoausPvV34XL0o2ZmtqhlYY4xiaAStDu5kiJGKtqzCE5Kq8yrCdpaE7VALYpfcQKs2IWaAjGoxnkya4HcFHc09QkWt044iSGKOtfQbUMJ6KsKREIllvnGBRLHKpkWz1Q5UMOFIICkYKxxBIAbMdk7wqsKNooRH0pqDHsvGDFfaVfoBWvM7J2udY7Eou1gS75DRlR7E/NYxrSiyhGVD9bHiK+HbD5inBjlyXGb2ILbIYwmK1q1gWK/SlfA6UPs18x6EWCL5Q+W3GcvfSFl0MASuepCo3kCR+kMUOvOH9EZu+oB2ZGBh0YoFCc6jkMydnuRlWWDRm6QQ2XpTkHlVIyGBpncOLYVweYFBN8n39O7CEZCJ1hHqYHL5ooRi5LeNcD7qsiU18Jfhfxu9iOJWm4ilcq0So4eHMD1KJO/TLHGkTJvU489Epem1Fn2OyGNX5gPskoRYcj85ypuaw1g1ZMRboiwfZko0wpWbNT9GOYKahKakeAG5Eb3E8+BJDmQ7jTo5AKSRgCNiaT37n2Y6kqMrkTZX4xExIU0ITE2mPhXZMRMw8qwy7iqaoMhgP80jqu9iey7LQNRi3i8x0XqIsCvSnFGfrTUIl6U8lW/rxdEw7VLzin6LkepRsQT2IWPG75C3B/f1pQq0IRXj7u68ZcuGE9yUUCqklGVMRKsG1lslq0OVL85KiLTjHOWINpZTJph+yn8Nsyk22m0MJ/VLW2ZQVUjpFTTQpZbZ823rAv47S/4WktO8MN0l9Z7j5NtQ2vYWsLrCFSTqiybnoee6yn6IrumTpY6txLynS+ISMq61ExKzKdQKRoFfrrLAt8wi3xDzrURtTONzQp7nRiFHAfCsiY8FLK5qcYfOt7he4xElsQ/D4cIYyRQSSnpSmpIqM5A4TEjKkt7Ij+zgueQxtsGGsUHagFgosqShYMd1Ik5IGKWFwQc/QH4+w3o0ZF2U6VBnWW3iwMMyGpxjUUwDszIXkrZjVzgXuMw/zI1sVx/rapKXJiJUj1Io+I0M3UsRaUQtn6Vd9rIVdFIKC7iEtTbZkHiJUmtFM0oRsy7UZoIc/3vwVCpZmnzXK9wwNsqwuc1Wc4kzFx5aCO8zHyZFgQAd1mZF0QqNztEtKZFE65Ew4R6+tKJqp268VRCgWuciAo2gon536Tlph0hCs6TrFlM82Pc1gej+OIQl1opW3hCRlSFxZohsnXpUtmQw31Du044gNucqqJxhwNO04IlQwlJYsGrMc9/6EPjvmg8Wfx9MB5/QFnir9PTbVLIaAvG1Q8RWudrjWbmBgscg6GcNiNJ5iR0HQCJJ8CAOTVQ+25C3KDuwtfj+uoZnMOKzFTSQGM3qRnbkPs9BSmMKhJmtMZA0eyfwgdVZ4tPCzhCox0AOYUlDWvZgCJnIm7x+WXKp51NtXGc8avBm9w6ido2hL1qM236pUueJtvpdZsRp0saXko4U76U/t4Fz9D7na+Br7i1kKRgpLSPKWTEIR9TISwYon2aoP0W/toCbXcI2YHhvu6+vSFw9xLDP5nk8qUsm20pGaQcdjU64ihMAXHm3Rpmim6HckQkjO1pt8OPO9/MjQ/8RDhb9DTJI5s9A9waCRZ81YBiBnJaGUgeiyKRNpVMaMaYSCaiixJIynHY4VfpqFdsyu9OMMmLuIFDxoP8zjwzYHp5b5WP676YgupZTJ5WaydRlKJwZlXyWbyG4UY5JISqp6nl3iPgwMjjhT5HWRIgOECiYzMftLcKr+Wyg0c+EJStYE636KQ9kyWwsGffk2MSELXZvV6BLT7jFG5G72lr4f15TcbDsMOrAuNyiaY1hS8HOjP8o8a4yobUT4/MPt/zPjpTq2IRhwAhZaEZbQPDGawpaCDWOFahCw2Z3BNjIckNuoBTGWMPhk4Rg35EWqfsSdpZiCBTc6LQq2wBIJpjoQXS6366x6FgcKbR7Mj5KSkpwleTX8GpaERzOfRhGTFhZ3paa4Gb+DELAUnEmGbMNi0jqCYxQoMkxKOwyZOUIl8GKBLQX3m3dzf3+NVc9iSzZKfBJMUA8TQlJKGMQqub6nsxGOKViKztHUa9iS241qMsiOq63JdWFG5G3JBPswMXnL+yJrYZeyK5nIGrzbWqegCqSkJmtqHk49yULtZTblOmmdo1dM8nTuUxxwh+h1JMOOQ85KviexhoqnuNE2uMkSm4HAU5J132Kpm3iJptUeOjE0Qo2r8+wrgWNo5sVFJtyj3GplaIeaT+TfjykF/amQlCFZruV4vfU5VgOP6VyKw8YeOnFMIHxeqC4x6KY4rU+zHrXZobehNPzAwDSXajFerCmqPtaoYmubV+r/gvP6VVra51x0g7zK8VDh79ChSjsSZC1JEMOgozCESK67Zkwj0DzQ32CbWyRnanrtgPm2ZixrsKv0STzRIm8Mk8/swBJwT19MO45ISc1w2qAaBPTYyRA7ljFoR2AJzXOLyfvXYpNJtY2bjZfwYs0WMUqsE1LmubrB7nzI/e53kyLNElfoRNBja7o02Fdy2Z4NKNqCH+j9ET67/lX6HY+W6NAIBTflDGkjxtdNDuf6+XBuL2k74Gqzyx09aXrIYUtJRrvcWYoZEr2MmAX6Uwnxbik6y4onubfsMmokuVVCQFbalHUvhtAUrJi8LSmlJG1/lS/Wv0zGMHnH+1MypkHJBkNIBs09NKPEF+iSYjRjcKqaYje7GXQUddVlM5yhV2YYcQN+/nwXpWHMjXnee53DxSLteJMd5jEO2U+Sc33qQUSkFaMZWOzAgKMIYs1SRzMoSmzJehRSkrShKak+RtQ27jGOMZox2OsMMMEgRStGIHGEjSEEg67gzGbAgGuQc0ZY03V257vsyGa52szw3FKXKauHgVRIJfLYxz5iJVnqJM/eFblMO9JcqysyZoLjtyQsdE0yhuap/A8ikVwLXyclk/fvfCVkfzHLD0yFjLiK+6yDvLPhU0oJpnI2g26KrM6RtyQnuous65uUdR9CSzbFIr3G1H+NdvC/uL6zufmr1XeGm29DrekaWZ1mkXU21SxD9j7W5ArDup+KnmdZzLCFSVaMBZqiiUuKrMqR0RnWxAJjaju+SMIPO6KDgUXLX8aQMJQ2yFoGV+sB95YlN/Qyj2c+zS7uZK6TnAjPixUKRippzmSNQT3FpljA0hY1lpjQo9RlhZiQg0UPreEbKzn29m1yprPORtzGNZOTp3G7yM2wwvaCzV3yEONmCV/BroJkRdyknNvH/35zgZfX0oxmDmMbgnZksOrZBCpmI/S4Iq6xFje5rlY4o17CNXvZlBU84dGOYEMuc0Xf4mL1D1mLW/zgznk+NuZzupbFMQweyv0UY26AFyfSk6PyIT6cfoBHhyzONuoUjBQA5ZTC0wGWINl6yaT5k8LCxMSSmqxlcImThFqxLG8xwm6WupJlY4FT0deIFbR0F6Eltxq5xLtBiTejkzw8aONI87Z+X1GPl5jICp7Kf4bfWPqHHJQPc0Wco6rmudnUlFMh53ibepBo4WcqzzCeOcrFhsU3mr/Oa83Psk3v5EXvjxkX++lNQTtUtENNSaYpSJcJhpiSA2wrWIREHF+LWA5bWGYPeZVo/zWaHluzFJ1jtQv7SrA308M2PY1EcmdqguGMpKOqDKh+/qIyzy0xxza9l1W5TjUQ/GntPDuMYd4Or+DpgNmOweGeiAEnJCUNxovvo2jB+927+aPNX2GhHdIVPjvSRU53vsyE2sFcS7G/mE2MpynIUGKy8BhHsp/iZjORWlxQ1wmUpirq3AzeQqG5Vg8pSJeYkKIqc6tts9SFNzddxqwCjgEjroNGULAFvaqXVU9SCWwOyp0JOEKVWFczHOozGXBha+lpSoZD1jLeGwaXa9+izgo7U4/wvPenxIR8fSlkXyG5ZrKqwIHUCI0w4kbb5mYzkUX12opGqEiLBH+sUNi45CyNLQWWhLmlEv2uIK1dSinJC2tV/qh6kk1f4wsPxzD4tbVv0udY9BkZAO4xjmFhMmCnibVmjou8W/1tAKqBQTMSPFr4u6yIG+wwj+HqPF+et5jKwunNJCl6RI8Qa8GIeQdlVabGKkN6kF5H4inB8fWQK62vMxiP3pZlabIqSyB8Nr1rXKzFrDUyTGVh3bfJ2wamhBObUAsUe8RW7i27POx+LwYWtpQ877/A1pzLTCNgl97Hpmozle3y4nJAR3T5o+oprrVSLLQjpJaksOhLRWStkOcbN2hHMV9uvcI95vup+ZqpXLIJ6+iQZc9j3DxIrOFDme+iHUnejt/C0CZ79UFG9QAl8lxUN9ldaJAzNdcaySZorevw2qrGNTRLQZObLNGOJBU1y5quc7WhOVjSfOGmpuJFHJAPM6H3Jt4bMcBx9QZDaShbLo1Q0J/uUvESXf8YZbalH+Fob46ZRsCr1XV2On00RZMXViRSQE8q2aTcYU3TTwFFzM2wwny3iyUha0mm800cQzDX6XAyvMZ4OqZHlbAlvLgMw25AoATPb66xJZ1nzI35Wud18qpAoARfWL+GJdLskVsQaEYykrSZDP2LXZtIaZa6Lj8x9LNMZ1zGMjAXNLiuF+ijxD5nCC9WfCBzhAjFGU7yh6sL1ALB9oKJFDBiFjiUTvDRDxX+Dmmjlyu8zQOZbRSkiyc8ynqSUMPNZrL9v9UWLKoKf7D2j4i15lStybaRTVphzExTY8rku1K0k8Ek0j479E6m7KOUbE0lNBhPO3x2bo1zVY/L4iIZM04IV6ZmzI3pdzx+bGvMuXqaCJ+O6LIv912MpA1eD7/OcjfFAXEHh0oRS55JzrBYDM4wofcy6MK+QotRtYVz1YT25sWabqT5kd4PoxCc7X6FzG24xsWGS1lPsubFfKNxjU5g8+kpixvNiBDFQrfDyeCrzHYMBl0bSDZuhhCMmYc4tZmY8qfySWhrNQg5WrYZTzvsL7Q5UbE53dwkUJoHMz/EiHkH19Qi73O/n2/6ydCft0zKapC5NtT9mLt6spyudnhmc5Y3o2+wr9Rg0Zhlv3yEt9TLdGPJP96dphlJDJFI99qRZkreSUrbbMp1vjmXwCcuirMsd6Abac5WJc045HsnOgnW2fE436gTadjmFpmTl3AMiWMIzviLdFTI/3W9jkWK0/o1vtr6HSIFu0s2rzUXcGSerXYvX1lKc7AHTmwmn209DGlGBmNumj2lFGcrJZa7HrtzOWZaiUTMNQVXg3XuL2uUTqBJ675gM/CS+4idDOMlO+LBQYNQwWi2zZvrYEj4vkmDDU8RxLDph3RFl5wlGKNMUYzgCpPjzd9iv9jHoBr69jSAf02l/gp/vlPfGW6+LdVDno7oUlAFWv4yV+rP4OoMI2mHjOylj3FWdJWDMgm1A+iVWSxtseqdZ9rNc63yJQ5ZH+SS9002oxt0/SUmssnp4739mrv6bLZkfKos0VIBA7bDoZ4MtQCG9QD7SinaUaKJL5FlqXWak96f8ZB9FNcwOZzawj524avEnDzsKkxT0UcehWY96DKuJhKal8iTNaHsmtyINgCoh4KYiPuMB3goO0m/ozmW2kNvSjLgBJysmhgiubze5+5hu1viWG6UbcZR9nCYYd1PVW4Qa7jH2otG8Vjx55IgTzeiGZlszfhcU4v4hPhKkLcNulFyCjaRFXRiwa5cgTm9Rs6wuNUW9BhpbrXB0xGOctmlD3BY3sMGc+/5NPZwF5aQ3GXso0ziOemJy5iGS6w1nuxyS5xhwO1yjktsE2McEHdgSs22gkVHhbwTnWUv95IxoR4HHCh9mhHHZZfex93GAxzsTQh0tnCZymo2fcVdxR/jiLUDW2oezH6G7+n7OQB2px5Do5AiyaDxYoUtE5KPIw1eC5/neiNEoejEERfUy+zIfZABM8tD5YCzFY+JtM8B+TAZC7KG5u3uPLdYZL89ys6CoBvBMet+VuQqe+1hLlW/SJ+VokeVeHmjwnA8RiuKmFSTRCimMxHfXDZoRwY7izaDegrXhIIt+ED+bzOcsZiyeulzBB/O/RC+CNj0k3yiS/4alQBsbbNT72LQyFOLu9zQS4yo0USiKBQPpz5CzrAo2AaONCiqMmWKHO5tstKJuKe3y62oQqRhrtMhY8TMNAK6wqcnpQmVIGUkeTme8BgRu5Ekp+J72cHRsoVjCE6pcwzZafaWvp8D3ElL1tlvPc491l7ylknWTE6sG7JCNQipxB3G0xEaeGwwTJDDeRMDwVzLY1oMMaz73/u+21Jzo5VlrasYczIstSOO9hT5/p672F/UjOghRjMWj7vv41anTdk135NkOcLkW+EbLHkeh8RRHiz8DGPpmOlMwM2mps9KMaF2stXuZZsc4e/sqnKlrllUFU4vl9mSTWMKTY8qMeKkuVl9lumMy2QGHh3aQIhkMzLt5hl0FY1QkBMOZUo87HwyyZrppDm5EfNOxeRsd5XZjslb3gxD6QTM8cZal5F0ikPibmKtOSiO8WLrCnnLZMBx2DBWcM2IO3pTbLV7eSx9B712zETOZEAN02OlcKRirp3miDNFVXXYqe8kbRikTUHOSqhQPaZDxjApqSKBEu9hgO+z7mXa7GMk7XBSv0ZWWhRUDykrYjOAbXmT0Yxkw7cou5K5jskWt8CoHmB/sc295oPsdPoYzSRN31TOSr5bwmQqlZy4V+IOftygHQmGMyaO1AihGc0a9KQs/rz6T9htjrHW1VzTswwbRXodQUNW8GLFiY2YSMHR4k/SmzLIGBa9qp8TrT+kx0rIdTPNLt3QRAM5w+Z92R2U7JhtmTzvbMRkbclkrkXG1Gy1e7EkWDLxsozbeTKG5nAqkdIYUjCe6eAampQU7Cxa+CrJzNnTUyVvw1o3YqULZ8OvM3I762ZPKRliglijUNwlDnMkPcKNZiKJe9u/hmNINryIPkrUZZ0xtYOHrPfxZnsOgLR2E0mSk0i0rrTr7Ckottv9PFX6e+wtGZQMh/mVIsfV2/Q5glZo8oXan3GmEpMWJVzyrIiEmiaFZn+hQzElGJE9vNj9Q0bVFha6FpPpDJGGoh3R43oMpTtEGnaoA/SQw6NN2YGSNUElMJNAyMDgm0td5uJNRuwDmCT3/V7XIyccfB1zpWVjCKiFIUUbLtazTGTuTchsocKWYGmL2bBCSfVxulIgfZvGt3I7v6jjzdNja0KlmYsrXG5IXg2+yk5zhMmsxUxDcb0RMpqGkbSNFws0yRA024rY6pS41mozlUlTY4lAdLGkpN/YSjsS9KYMbsgLaK1ZDjrvgTwezI1TsiY4V83zRG4/V8Wp5N/lWVxruRStmJNVk0VV5dXOVXzhUZAug2qIjKFY6YYUGMSQUAsi5toBoY7pxgaWFDSDBNZwvpZsAHL0sxkEiR+1/RxpafHp8R52myPs4m4edL+PYVex6Wsc5VJimHaUHCj12hEfGPLZURCMpFNsBian/DlmWxFnaxZ7Sy6uCfenf4CSDRlLcKL2Gyx2k435sBtythKRlhZVWWOn3kXK0LQigxE3JNaw3E6TsQS1IOJG22S226YWxIykba51X6Lia9Z0nT6V3LNHC/djCEH+9qHod+p/zPrOcPNtqFgrBmSBG/ICh1MfwbEHKOg8V9p1yvEIp6u/xYjs4UqcoHItYfD15r/hgnqZx9Pfw2y3zWDhHq6Ls/S62xg0djFWfBgp4IXWNbKmYtOHm+0U3bjKiJOmE8cMu5C5nUWSszSuIWhpn1tijlh57HefpB3FpKQkVtCMA97YsOlEgiO9dZ67NcyWnEMKixEnTUt3+Ub7PIOuzUxDUfVjQhFwqdHiQtVnSG9FCthR0ORMxXLXw5Ag0Gx6mpJtYQmDqh+z5vlonSB6N0SFderY2kUApZRkG1O80v4drsqrRKFEoDm6c5FdxigDZpa3Nm0smYQWtuOQSAtObca801rC0jYZM7kxn9anbkuXKoxZBS6JM7zkf5knM/ey0IY1z8fXEec5w0vBN0lJg1oAZ/yvcqd8H9N5k5ao8YD1IM3QYg87uabnqcVdApWcPA45LhlK9JiJttsVJgrFsufd9lMovrSQ5HB8JH+EhwYrtEPFXmeAWGtyViIVytsGT446nGx+gT5KTGdi+pwE4dqJIzwVUY8Dnsx8gP09JnVZ4UCPiynTpHUWT8VUQ4OODjk8tcyKXGZXPuZK02BQ9+PoNI0w4n+99TkcM0FlbpdjxFqzr/QDbIQ+vWaah/t6uL+viKcj0tKkJNNkzJiXvHNYUqPRpLWLJTQzjYBDvS5L7RDXSGhOUzmLs96zjGaShiGrM5yrdinpAmkjkZ+tyzWmxTCONDmQK3G6+ltszduc01dwDEGgFGWKxGhGS3VGMyYXGi5b7V5O12v4hHxpIcVfND7LbqefHktx18AGz3Wfo9/MILQkp3PMtWGuDWf0eapBMizuE3tYCJrkVIGvVv8pG+EMa8YiX+t+Pcl2CQ1GMpKN4CqhUuzJFRnPdDhWVuwq1Qg1zLaSh/VIOsU76i1WxCZPjq3TjRTNSHK+brHmJduUjdDjE2N1DpYCSnZMS3t8q7HEjoKkz3K43urw0mqXSGkui0s86tzPYMrhq9V/Skd0+YuFhOk0lJZcDzdRaH5v7X/nmlok1hIvThrJo1NLrHVDXCOZlOa8Jg8W/jZn2hv806VXmG9maccRa9QwhOCNNYVAs0aNGXmdE+o1ehzJ4bEVNkKfTU+zxylzsNjl+/q30e/AhWadx4dd6kHMumpyJrpBR/u8L7uDfT2SM/4iPXGZ2VaapU4ylPc5kmstEy9Ksj4AbnYSQIJtCCadPGtyjWoUkLESv9Nq0CFSmqJtMphyGXFjvtp5lsl0wIVolovxHBU/YkBu57h6g1jEdEMLP4YNX7Ppa7bl2+RtQZ+taIUxl8Q56oHFKXWaZ7vfRGk4VZE8VA4YSBv02DZfav4+RUtxTbxLzhzgjqLPzWZAqCGIDJoh/MHmr3Nn8TOcjC9wqVNhrzHFlrzFiWqdwXiUm34NW0pWPY9Ro8TlZoeT6gw1WePHB3+aWhjw2mqXUMd0IpOUIajGHpNZmM62mO10OdxnMJmBup9itqWphcnJvy0VB3uTQ5ecGXOr22SL2gkkhzy9tuJiLSBQmlObim/WfoW0G9CJoGCbDLnwmPsxNki8QDlTYwpNLYg43vwtADKmoM8x8GO4VP0irimY0Yuc5U0sbROKRO42ostcEddZk2t0qVOwFKfaf8YTQ0WypuJ0OMOSrtAMBUfLFmdreT6WvxelwZKKx5yncI0EdXyp9iecrv4WaZVh3ZfkrIA/r1/iFf/P+ZtDnyYiJlKCrCXYkQv5i6XkOsrYIf2pmJbo8LZ6gdXoEnsKPh8v7qcvFXFan2bYDSlaNvcXBtnGFBOpPOerMV9b7KepPQpGildWfGZbMYYQ3GhqvFhg6RS32pKFoEnaUEylChzK9nNHvsT2XJsrTZtQKa53X2FOzrKv+H0cKLY46y+x2+lnravYaTzIbFjhSG+yTfTimJkGXGzVWe0q8pZACs2uokGkNHf1ZPlWdwatY3KqRKBipvQE655ONqf6AErDvnyOmYZmTs4SKRBIhl2f/UXFhN7LtDjI1aa8PbAZ/ObGn3E0X2aXnGaCQUx5G8seGbTjiD3WCE+PdMiYBk+PmazIZY5XXKSAvnSXcsqhaMOft59hrzHFvFhgVy4gCNdY1Bvszre5HC1zieN0tM+pCoxnoCY3SKsMlTiB/ry5YVG0Azb8ZCCvh4I7UxOMZgzu6fWYymhOV5MAZSlgJA17S99PM4TObSniJyY0oY6xtM0lcYFLDQsvlpSdRA2w7Nm80rrBqqoTacGjAznKrsGJ1ho73Ed4pvUlADqiy2lO0AyXqEQe1/Tst7EL/KvXd2Rpf7X6znDzbahbcoZ31JtMqJ0UDZc7U0/TEh1uinP0ygxHij9BJe4w471CoFs0dIeR3GF2yQe5rG5xXZ5jQG4nJsTCZSk6S6g7PLu+yoQe5a1Nkxcat5jvSPqMaQwhOK3OUgkE72z4pKVJoGDD06RFikiExHEDIPHwSIEhYda4yWpX8buVN5ltZ9iR6xBrSEuLrfnEPHqj/gJLHZ9NP2A6b7LTHGHczXBRXMYXHmthl1qQ6L2vyWsoDfMdhydHIzKWZMhxEiiCWGC5EyU3WS0ZN3qZYOj26SR8tf4veDTzw2xR23CyySmitJKTsp6UyXgmWVMf6Qm5II4z11KJGdIawNIWX/eeT4hsjNIIkhthqDS79AF2Ww/TCBR9jqA3ZVMyHPZygPXGCQwh8GI4mvoYCo0tNUet3ZRSBgsdh3rsU9OLDNoJM/jURoTWMMEQt+INdudDznEOE5N5sUDFWEOjOdyTI2NF5K2EYHNcvc3z3uu0wpipdEBeFYhVgq6M4wYd7XOunhjJx7NJ45W3bIYdBy9WTKRj7nW3EmtNVvZzpvMMOdNkvmNwtDdBh16uP4MXS+pB4rtxtcMpfYK7nY9zoeqh0ZgiaWS6Ivl/5iyDlJG8t1VZ4x31Fr6OeWk1xW/s3MqGb3Ky0uGsfgXH0AylbX638iYKTcUPkcCGp8imhtiSAy+GuqzzXO2XORl/nVArelUPO+UkWoO6vbIQQnKjEVKL5slYcJMlcpbFkONwZrmcbOfSCRUIoCVbPFBW3J/5IRphRDMS2HZEN6zQjEPKRg5XmFT9mLQBJT3AmUqiP2/GAQXp4pLiaPEn8aIaw/EYW+Rd5CxJjx3ypY1ZdhsP8y7H2ehGpGRMNTBYa6eZb0O/IzGFpBtpxvRuFIpumByl7i902FsIcY3kZGFFLrPUdTGEphoYmEiGRC8rXWhFybW9QZWOCkmRphqEBEpjGBnWxTzbCxZL3QTusSPVR0mmKRfupqiKvLNZ4LnOM4xmDExbEamk6T0bv0BaJB6JqtzgQ+kHOFVzGHEdmrKKYwhGMwZpEzSKdf8yI2I3gQInE7IsVm5vDAXD2RbTmYh/s3oJgEhDNQpIYdOr+inJNH/c+AYbPkzJASbtIoGSDLrJ4+TZyjxpM8ED+zoBk2z4kh05j0YQczK4nrwHooIXJabmrEy0+6MZyelwhoKl2CaOEijJhrpBWZV5PXqJOisMsY2yKJBP+TQCjWPAhheTswNsqRl2fVxT8mT2CFJoNrxrZGU/nUjzavsGrUjixRAoxV32U1xoSO6W93Kr+nUKVoSnYgYdxYbnUrIF+zJPMiL6ksBkeYu0aWCIhGb1dvePuafYi2MKcqZFJ45YFIscNg4wpgcxJVyX1yjZNo4w6Ut3qfoxMTF/tLzCQieNpwOypmbEjRnItBnNCPaWUlT9mFpoMp5W3Ig2mO+azMkZBlMuGVMy305TDSVTOYuVjmZXQfLpwX/AfKXAajfmt1f+IaaAbhxR0Hm6wsMUmhtNzfPel/hI6WeoxB3SZiKtrAaaT/b9fVqhYlCXSYks573nKJGjHkTsKTl0dJWV+BK79D5mOyY96S1UA1jqmvSoMpNGH7HWVIMEtdwONdNZjWPEFGyDRpgExD5a+BneV/i7FEWa51da+LHBWDzOj/R9nJr//6QQpk0YTXf5zdX/m3zWw5CKRihZ4DJlYzv91g5CJTCFoGBFzFa/QSUw2VMyaIeaSCtirSm7Bl4MWZHCNiTnOcOxAUmgkkOLgqUoqBIXqj7Tbp7TVQMhYKEdULIF7cjiYLFLSkoeS38vTbVGVuXoxsnBVqw1W/MSlxSbcpWLDYuZZpuqbvNqa44nhor0O5K8LdjXxC7VAAEAAElEQVTwU/ixIG8ncsYm69xn3ZtAg3SHfscmY0LelpxQLzPX8dj0Yxa6HQ6bO1juhOxmO3k75NkFxZv1f82Mepu8BbUwGXD+6fRHuNH0MYW4DbAwyJs2htCkROJpWuikmPfaBEqwW04lxNT6n2LIBIKgNPRbO/CVYlAN8fqGzf7iD9ARTdJmIjltePMM2zl2FAQnNkJG9Rjz4iIF6TKShlIKTtey/GntPBUvQgroRDF/WHuLlKH414s36bdd3lXP88aaz4WqZlwPs9pVvNZcYCTTRt7u1S1t0YiW6E9pNgKDim+jtaYRSu6wJm8rTJLDQ0NAR7S4HrzBx/LfRZ/I0xRVcvRTtCbwhMcd1vRfY9f3119K81+Ggv5OiCfwneHm21IjapKN9kXWjGUucpUUFilts9Y+z5quMxO/QU3WeDz9PXTiTS5EL1DWk0w7hSRLo3UOS9tkZRlFSKV5DkgoXhnD4lK9S40lNJpxPc5Fb53tejdzLcXeUuILqPpQC2JSwqBXDTBdeoIFLvGt5q+z6QesewG72U7WktxnHub4ZtKoebEmbRikJJRkGtvM82ztn1GwLLZkkwfBq/67PJDaB0CP6TDqKt6tpbjf3sdsM2LVNxhLJ6QxxxTMssyd9hY8FRNrzcna59iMOmyqFs1Q0I6gN7uHEMXXa7+MXVAESlJZyXAxnsMQMJBKboz9qeS05qQ3z119/x/2/jvc0uyu70Q/a71553ByrFM5dld1V+cc1FK3uhESCiCMhQkG2+DBXPDA4MB9TBhjhuHBzMz11bUNSASBUACklhqp1UGdq0N1VVdXjiennfd+41r3j3VohotnxkbGA/fp9TzvH3VOVe19zn7Db/1+3+/na+FsFb85WWEsgLe6X2Jb0WZTLLGe9Uj0nxndQyyhWQj7NLKQvG0K0eez58wNVwxo0KadwCBV5G345ppN2fKoimkcITjT0pRci8WoT6QzHO2wvdCjEV+ixRoWDiPZOK60GPJg19Q6n9k8xWZskKjXcROvc4x+JlmSl2knio1YcGPl+9mQazy9sUE7zljua4QAVwpejM8gEaxEFgVHkGkoUuf63Ad4Iz3Pl1Y2qDhw8uoIdxR/gIWBpOYJwkxjYVHBYDYrrkPd9Ui15sZaxvnNL5ITHr1EsdCHlzY61FWVHfo6+joizKDuh1zuSWwEjgy4sIWTPqCvJ9OmcNhd0lwedNjHLewqRHRTKKsy31b977neeg/H9RsULTNZ+2b6ZZbEOld7EUPFG1jO2uwWt9KI9FbmUoYt4aVNHymglVhUPcm4U+Ce0hTX1Zp0RY9BlrISSprdgI9X/w4XhMGVnxanALAlODh8bNZjaRCzLZfHEWZqUtA5iu44J9UzLItLBJY5fz48PAPAUXEbT4Sfo+hHrEWCz83nudZNCDN4vPNJ3jOhWbeWCEWPa70cocoQaIa9iH0Vl1PRMtv0NJ++KFkOHZZDQ7nLWRYVVyCF4JQ4Rl90aIseLsE7ErWcN4EtPM62EjZiwZlWjCMFdc9htfUSHg6zuYgPlz7IYk8hJORti6sDB1sG9HXMHeUf4SZ7D+04Y38pphGlFFUVW0KqYMzLON79Q6K0w4I+xYlOg+ZGDl/nGAssvjk4S8GPaacWu/R2rsmLTAUpfR2xITcM9Ul1+HDxIf7D+h/TTmOEgCEvIdWa0+E6c3KUXipYGSj6OiLTULA1102u0ohjDjvb8bTx2cwU4JZ6SN1z+Eb0RaQAJUwB6+EylQvJdMJ0kKMbLTHIGgxEz0zg+gHbipI3m12aSWxIcj3wrQzPEggBqRbs9R7Ap8BSP+Ont80iBRzvbPB8+gJF6ROmcFEvsb36KN3UIm/ZdFLJ7qFNNMYzpTD3xYdyN/BCfJrlvmY1PcutwUdpJ5pteVOMXBJXqKohAyfwvXdkt7MFm7HAY5A4dJOMWa/EseYnOdHyeKn/Ga71Jf1MEvgxY75B2Z7MLvEn8xmDzMi1pIAxtc0QCTNNP5VM+BlSgGdB3VM4UnC6VSDOjMy34ihcaTHqBmgUtgDXEhy1H0Frk0OUabjSSYgzI4lNlCbTCoWiHuxigxYvq2cY9WFS72LSOkRg2YQZfLzyIKsDzbU+DFl5QpWxLa9px3Dr1DLfHJzlVEvQThzCTHNOLdCVHTKtKFour6gn2ZHPI4VmRyFHYAueG5wnwDMwhdhMqP6n3T+MEJrGIOBfL3yTWA8Y0Kas6rza8GjEmrMdn3vK/x1rkWSxDxqIdcbluEkjMn7NUd+n5JiN76iXYgnJVF7ydtsmFAOm8i69xDTVXo8v83z2pzRizdLApZtadFLT3JrBUE5biU1FlVmNItoJOMKioCss9hV7Snlm3Ao3B9NcXw45WjOT3bXI4Y3NEEsIBAJPFEiUoiHXKYiAa4M+0znNdA5SNWAy8LGE2Mqg0ryknmdBbXKtF3D7qM311U+wR9zOiKcJM0OFMz+b4FrSwpaCKDPBrr7U/Gn/t3GlxV1TK0aWOjDkv3uGu9xgv4/mwOeJ5lUTFqyNDycioebCYW+KbXqGKLPYEPPcF3ycdhJzuWvyZSSC1d5JBjrlllqPfiqYzcX8wMhBLqbrVBzFy9lrPFa4lTdbAUNqmENVi3uc95O3bX5r9d8wkfN4eEJxZ2EKS5oG0bLYwEay0XmDa32JLeBM1+XF/jW25WNsKWioPo6EipPxZrPPbjn9jkdngTWG1CjTeopZtRtHO8TZ32x3yruTm29tvbu5+WtYBelzd+7v0lPrTGTTKDTX5FnmivfSEpvcaD1ESsQgS9nsnOBm+/005CpaQ6piCv4o26whDrKHIW2KrkynvC1eZiFtcVVc5bsqt5Mo8KXFvdURXkq+hBRgC0EzTrjaTVmIuqTa3DRD3SbK2pRzOzkhXkMKscX7h16a0UthODdgaRDypd7vsjgASwgOBA/j2DXWk4ghN6WdxOQoc2qwzpvNT+Fbkit9ya5CyhPhMyylHbqp4Hwnz+lOB0vA3YVtDPsmkDBvW9xa+WFywuWKOMmJRoQj4JC4i0RnfLD2UwBc6ll87uIE25kiyqDsmBTyc92AqpjmOneKOIMLUYNDxSr79XUEluae/PeggfuDwwxZed7UT7MhVzhUzrEaQsX2qFo+Q77FntqHOcwtxBmkZGyzhjje6BErxVI/4+a6Yth3cLVLL82YzgsqrqBie8yLa7za/yybkUe7f5735A6TkTDtFXmL04QZeMWM9xf3cXR8jdEtve8RjvIn85Iywwy2dMlFXeQmbwffPV0j70jODEyI5zei56iqIZpJwnMrCe3YPLx2yHFmrBpFXWVfrkak4Om1PAeKFWqupuJq3owWmfBy7BSThqzlG0zzi9nzFGzFjZXv5w31NM9nz9GNFQkpvrQ5qZ6hIHwmcnCqWSLTmkQrNvsXSJRmdZAw4nv0VcJY4DGbi1BoyjKgGdtc7WZsyA1qnkNOOBzkep5Nvsy5aIND8j7KqowvLQrWCNNOmbrM87vNP2BW7aWZGWTr9nxGM9IsDSyeay9iCdNZbkUex5qfpGg7lF3Nat8UQ5Nqjk6WsFPvY3vJ5rXNHlc4wVQuYklv0IiMRCRSigU5z0bvDLvl7RQZ4XSnT5hZJMo8EMquzSH7Pdhb+vqxAPZUHMquYLp4O4NMUlejHLZ200osRnyXzdhhvu9TcjQCyVjgsbfi0EoEeRuKukaiNI40WU8Ah6wdjIgyVVWlofp0koR97v2UVI2bhm0mA8Wwb7M0CAkzzfXVT9AQLX7ropnoHE+usrZcIFGa9Uhyi3U/Z3iFWa9E3hH0s4xbppe5qJcMea89wLUgUoKh/D7K/jQKxXOtX+dys8ybvc+bNHY1wXKrwOubxiewXe0mzCQ54XEpfI5OmjIvz9BJFA/5j7AsV1iIuiwNXC62zVRKazi2HjLkCxpyE2fr8+v3XaquS9WzuKUwwXXeBHXXNDJeiS7Q6p3m+EbMHr2DQWaS4YdzfSzhsBElDAV7KNuTxGLAo9V/ynrkcbmjUGjeFsfZGPgs9RPm+z7X+iGNSLEZ27TkOpvqCifSKwx7MU+t2kw7ZR707+QaK4wGUFFlRtUMzdhmLHA434Zu6NKMYYeY4ph6FjAZOTfZexhkiqPWgwgkswXBWmS8d1N6mlnPBLT004zfbz3OUjhg1NfMFgS+nTJdcNmMYz469NNsy6XckP8QT66v89lrA9LMYmFg8fJmh7ebv88NdYeFAYz4DnVXMWmXOZ2agMRTbYfAyjjZGLCvLEiU4InBS/iWoquMrG0iiEwBG3epUSFSgvOdHjvyeabyDlVVo5sYtHVgC86ICxQcC7mFRl/tvUVfdLjPvY9BBgpNXdUYCRw+tzaPwnTJM20+94rjoICznR6en+ISMBHA2a5PqjQ7xSQb+gpPtv5nvtr7FO3BPFLAtX4OIQTDnmav3MYpXiRRptkWZ6ZMefHqOIGTcKt1G7fKe5lTeyjoHBVXE2Waa31JQsqeYsxc0QTTJqRkImM5jCg4gkGmGKSaui9Yi2wcYUKCy66mqIvcN5qwlvYoOIJL4XN8vPJ+xgKouSlfW3Z5Tb9IqhUFnaMh14kywZhbYIPWVqimxYiuM50XzOShncSsh8a/pzT0U82Qm1K0bfqppp2YzsZ81uDM5mfRWnNcfYOX1zWhEhy07qfgCNajiCGqrMQD9uujTIgay6HZrAQ6YNwuMuwl1F0zhT/fcynaNmNWia+GXyNSivUwRQE7cvdQ9xxUJliSC1zpZqwOEkbzfYbdgMBJebg6Q90XHOAgtoS+7AGmJpjK+SRKMq6M/yvRirHA1D4jnscD+e8FYLbSJmdrznU9tnpInOtIruMwN9cz+il0RIdYCRwpsARcX/44loAxP6KXap5arrEcSsZ0nadbv8b26qOca6e4UtNLBfeVZsi04GS4QoDJw5NA2XKpezZVPUrJFSgUw3aeSKcUpEtBeLymTnyrpd5f6zKTm7/a8e56d3Pz17IiZR7ye/UNuMLhWPplVgdvM5ZNcMTZyTlxkpoa4Q1e4L2Vn8CXNnv0Lo4nV7nb/QBR2uGUusRFvcQ+b4SPDf8PTIuD/ODQAyzJCzxS3oMlzM0z05peCvd5HyBR5ma5o+gznzUYdfJM5DwsbVMXszzgPcy3Fb6d67mRhurTokvFhV1ll++Za9MIfRxh4Vp5NkPFgtpkWtbZWXyQ6yo55gcOF+VlxtQoLbHJPaV/zHjOFIY1N+E7ivdwR63KR2bXeGbNZjbIM9+LWQ8z3m4NcKTgTLxCSkbd9VhsPsNM3mW+l/Bk63+mZvv0VUpr3mOxD3cPN9lQPTwLLvZ8ruMOnlmBuhpmX0WyHBoQw0rfEL0AHCTLfcVzg7MM+Tbb5I0G3ODBYi9hW8Eh0Yr5Xsx2tY1L4gphpklETDONeDH+ArvKLo/3v4gjNRd7PYaospp1yTRM5aGdxtzs7eI7Kj9AzYv4yNBPcrUXUtIVAFIdcrCckEWChX5GqRayKBcJdcpApzyTvMyIrvO+ScfID6SZoHQTwZVBj4rIsRQO+J7a3bwZfpmjQz77qy6PD77BSj/l+fRp1tIe2+waD45lOBK+f/81ig7YUnN8U7HBPHGmOaMvc76VMd9LsKXgMLdQcRLur05wm/UAN4hb+ULnd7eIVi73uO/bmtwIXKkY8WFHIccjhe/lXCtBIng+PkVOOlgCg1CVXY7pF/jyAizHXQ4508wUJDXX5Ror3O8+iq99emLAU61fJdOafdrgafsqwRI2s16Jup2jHSs+cN0lfEuwOICD/pgx7HYzTrbyfO/YP0MIgQD+4GqOYd9I1u4YztPVA2KluWskz2Fu46lVE1b7inqRVJnO+y7meKT0g7jYjKph7hnJkWjB3mLCorxIrDTfO1vmzZUhSo7mE/uusa+UMREoLjb+hFuHGuzx64RZRqwE24uCuUKPz12FX158nB3OMFLAj910kWFPMeQqPO0RqpT9pYSFwYBhMYfS8FT4WfYUCky4RXYUfQLtUdVlLnVMblTJFfjSppnE1FWNKTnEx7ZlW1KWVd5Yr7GQtriuHNFXCTeIO3m8/0Uu90LWdZsksdjQV7ggjjNbCLYoXRb7uZX73Pt4OHiQf7Pvn9NKbD5a/SFeXjPo1l96K49nCRIFQghe3JAUpMNjhe9kT9nlPf5trEcRriU41/s6B0tl9pU7fGgGdnl17h13uGvUoxnDdqaYLVpcX+7RGvh8sfM7/IfV/0gzzmjHGWUn4/FFm5u9ndxQ+T5KrsWCXueGapdMaQaJzR5uItIZie6zS+3C1wVWdYthP2KQKW6uFdEoLnZzFByL5cimryMWwj6n2zaR7vLe4H5uDQz69WhN8WT8VU6H6xxwJgE4qZ5hSV7g4b1XOdvpMZOH880yV7shM3mXIbkdz5KcaiR8JXyc/RWLFl1qts/VrvE3XpLnGXY9BqlioFN+f/0XOSzvoWS7NBOBJ2G41uWVzioLYpUh3+bOqRUsbZPHp6sNxeveYZPH9FjlJ1kN4WA5w5EGr+1IwW57nJm8yy31kIKdcddoQJjBZiy4jiNMBCEHyjkcJBU35rS+yKpcZjoIOFpvcf9Ynqv9kM92nqQgPOq+4EjNopsoXB3QTzM2ZINznSc4mHs/dTXMWhxypWtAB5flOV7rrvLrB8rsKGg0UHVhKu9yJWrTTgRjXsAbV8awtc3ZtvFkvm8Shnybab2fe8s/xs7cfRzOf5Cb6prN2GJ1kNBNYabgsJdbKDqwGpqJ3JNLKdcPbxA4KQdrDgOdMsAghA+VQlJlSIBTbomykzLsKs4PWky4BWasGpFOOVhOWIsHuJZgM9KcbgtGcw7b8hl5S3P3cIlealG3c+RtzZ3eh1kbZCajJbUIbLhF3o5GMxXkONX4PaSAzSRiuz1EP4WuiunriK+tNik7xjsXqpRLPY83Wx6DFI63XH5gZ0Q/zXi8+zrj2Qyb0mD5S7bLQ/4jlFzJRqhJRMKrrQaOsNhTCrCEZCaXY6BTirYmZ2k25AoFxyJWBpjRTuD4piLvCGaLDtvEYZZUk1ClLAwsbvS2UXAEX742xnX2TnaWJM004lqnSNGRCGGq4zEfIp3xZt8gzz+2Y4mRQHCyt8krjTx1WWAq5/Nq9lVmchmTeYuxnEQgqNqGIHe4EjHhm81dRRcZ9tny/0DBhvurExzfjFAahnyLu4pTnOv2ONnO8fjgGxytdbYClgU/OPHPGFUzzBYsTjYNcvwzrSd5bt19J7umlwoSbTycX+h+hTtKE9Q9KKginpRExCTaXJ8T6l0U9P8/r3c3N38N66p1CVdYLMpF1sUmdziPUfG38XTr1xikiiIjtGWLVEWEOkZpIwOY0qMssMYN7mMEOk+LZdpJigRm5DCJghvkEYqO4HQzZtRLGfFd4kwzEtg04oScDSuDlMOFYVaSHp4lsDAo5DBTZMogJgvC52T0BBuR4FInIVWSb6wWKDk2WitGc5JXW//emNr1MsMe1NyMB/P72FnMs1vMsSqX2Qg1B8sJzcRhoZ/gSMHxjQrHuss0opQT+i0+s/YLHKwGNKKUHfYIGmUwqNX30Es1z6ZPcGvlh0mV0QMniUU7VuTchACXKINOKriukifTmmmviCPhfDtixHepevYWZUywShPfErT0Mud6XQ74I9hbuN66b5OzBX/S+CX2lF0qjktelwHoiSausHhP8FEakeZu91G6qeRt8TJgJBdXupoLHUM6+jO88Fro005ihjyPy/o416IOC51X6KaSqG8TZhmLiyUsHCSCTCu+b+g2Mq22wshMN2wl7fLSWkJDmgfZZPDnye1nWynXVxJ26hs4VLPJyToONiuJ0SNPBhml4ZCCDRc7gmFfclAf5mV1jJwusr1k4UhJOzGb7tlym5IDC3qdKyzxHeXv4mg9z0I4oOTYvBb/Ma1Yc9++a4QZfLX/CptZn+0lh2/Ej/Ox6iGU1viW4GK3QFmVmWE/h+sWYuuWcrGd0c8yDjlTNNOIgnQZE1Ueqfwkm1mfr/c/xYbq0hQddti3m016ljIcWFy4WmeQacYCKLuSwJY8GT3BhJ+8cz2EGWwvwitrMXvtcaIMKiLH282IbfmMi/IyGshI8WWZibxNP8veQZyPuQUsYTTvvdTimTX7HaP2cihpJBZXe+B6KRuxRcVR7Kl9mG7iMkgVjpD4UnOqmeE5KZYU3GY9YEhRniA3lLIcShZDycnoCRxhcaDapGJ77JIT7K04HPQewhLmN/ZKZ42u6JG3HC51B5ztuMx3M15Sz/O2OE5LtMlZFsuhkTV9qHQzeytt5rwKG7FtQhtpst+6jzd5geODP+H4yhAfq9yF0kZytNRX7CikrMpVFDASSFwJO0odLkUtio7DbEHwiR0mlNISEAibvSWIVMZabKQ0EzlJ1XVxpODW4KNc6oQ0Y48zHZuiY/wsmTbm4Gus0og0p9o5pkabfLj83ezOPUDJtbiolxBodhaNbGZKDnGkJmmIFRypaGUx7dhlLijxNq8yzUFOcIw+LbqiRdUPeTr+Bkt9hdYZ07mQU9EyrtQ8NFqhZvucayVMql0shiGjgeS1RoAjNR8uvZ9Zp0amoeJqRuzdjOk5Go0cly3jCWokFhXXYTXMcHC5FvZQaHbKm5ECyhgfXt4R5GxzrS5HA+aKDmfEm2yrvpdh1yNWioKt6aSCs4tDZpKSvcVvbnyK+kyf75qu0BV97q0PsdrOU/Ei1uQ6fZXw6MSAyz2LmTx8fVkiBKzEfRTQTgze/o2NlPMdjSPhm/Efkyj5Tl7Z9FCLXcyxT25nPUy40s3RTwWOMNlSo75PmGkudU2+zE4xyWoyYJ2rPFL6QQAm3CJN0cGWglRpfAosi4vsmjCBlK/3l5gMFP1U0xd9+qlge8niZCtgSg5R9QSbsWTUS7jaD9+ZApxs/DYlnaebSnYVBtQ8m5XBn3eeF/rGo+dZGRN5B63BtjNKjqZBmyviJIed7WRacDpcZ08xopnEXOn5/Nsry9xRq5JpjUKbYONM0BV9Sq4p/mqeIfU1E8mon7K3mPDVRRNC/MpayvPxFyk4kqKtGPVjqi68kD3N481f5jeWf4656iOsxxahjpnI24z40BZmY7o3X+bJpYzpnJFfXlfpcUttwPOdRRxh5GydNEEKi1trFTKdIISg5tlUPSNhnSmYSdnOoMxU3sWzYMjxSJRmNhdwbSCZzYdsU9vJ2YKnVm16mWR/SXHfqIEY/H7raRIRc1W/iSUkvVTQiFImAiP1nsxZVF3zO/q9Kz5hqtFa8HYzxpaaouWwLhbYkBvEqcV8V1EVeSb9lEwrXhhc4qB1P1f75r466hsp4HTBZrmTJ1aSTJtm1JOd/4XA0ryQPctcYcD1lT7tWHNRL+JagigzEziFZsJPOMLtZFrSTc1zfT1MSURCO4FEwT2jcId1N5aAJXmZ09HXebNhnst/0vo17nIeNJ5CCxxs1uKQPD4WgrPiNRzs/xrl3rvrb+h6d3Pz17Bm1XY8aZGJlPnsBBXHRemE+8v/hEhlXIlfZp81hSNzvND/Hb7c/DeY3gb0RYeT2ZO42uMW+0ZeVt/kctzEkYIL7YRUaUY8xWzRYSUyF2esNFHGluzLFMuWgCvyjOnmYwhgXRWzEUf00oxrYp7J4IZ3HiQvbhTwLXgjuYxtmS7vdZXv4YqY5x7nTka2dOCWMDeLscAh0HkqnuCWsbV3TJ3roWIhtPnX+0okOuPhwhFmqu/Bk4IF1SDVmkkxRFMvMK328Nn2H/Bw8DBDokRXxZwSp3HdlJFAkvMSnu79BpcHXca8jF6quW1YkrMllzow4m/hPOOUKywDIJFYUrBLH+bWehFHCnK2wUoGlqDoaD5U/ynSrU3FhKjRjjPGsxkuiStYQjCek/RVStXNCESVVbGBJQy556XO8paXRxkCl5PQoMvr8WUCWaUgPK4vfAdz+QFeLsW3LJ5aGsLTPs9Hn+VAqYBA0xY9eqnk+GaGa0k25BoTeYebgmkuschIILnUSbjD/whvJQs0YsvgPH3NdrUbhWbBusJmbB4q81cqnGpmVD0zXWroHg/nbiHQPhVXM+RbnNBvsa/iE/gJvRRGqHKjN2vkGwq0NmS0ur+L0QCCUUXOhkfyNxOTsh4qDsq7OdtKmMx5WBKWQptxN8eqmOffrbzObJBHInglPcN81iCwBTuLeda1AVpkaCpWwHvzn6AicpyJn+KN7h9wMr1GTprz+YnlCud7XYq2CYI8Fp/jsLyHnJ0hERzL3uZyV3Njtc9Dkw7NJCZna94WJzgtzjDux+xnJ76lGaHKSniKQaqJVUamNK+oF6i4Egn0UsF6bOFK8KXNpWSDF1ZDcpbCt6DT9jnT0vQySVFVWQ1NRzLvSBZDi7eTJdLM4r4xydviLNtyGQu9jIVzJUY8RTOGgjvK6xyjUuobUEXWIFKaInle7i5zuG4x69QYF3VClXH/eIAtoexZeKJAnSneGjxOojQVxxizax4Ug4ixwKKfGV/ShlhgziuzTV/P3cF38slzhu63gxv5TPPTW9MYgad9XsvephEZwlbejZlyS9w0ZHGpo9lVbvPl9SV6qaLgWASW5vHW/2SQ7JnGliZsdsgXzAUlLokrLAxcfm/9DO1YbZn1BZkWdMQmX+g+TT8TBJWU8ZxkhxzncNWE8moEiYYX0ld5MvwceVux0DtGrCxeSb7MaL5PP80YZE2OtX8LW3gM6UlyushSN8+PjD7ImWgdISxmK21iEbPQl5QcAwy4ZcRI0GqOR97W7CgkDLkpxzsbSOC55HlylvEuFnSOjUHAVDbH4gBWI4u6ZzFIM0Z0nVvrReazBmez59iIoOa41DybjVBxqaOZzGZ5Lf0K/cwEcE6r3cwWbNZ1m4sdONWIudANGBFlHvQeQmuFTqERC2bsKgfLKSOlHoPUpq7qnBLHyNspjjS+k4pnYCAAjSjj2TWLMJOUXYuya8AoNzmP0EpsLnT7LKgGQTEhsC1yloUrJb3U4tn1pkHjWnm6SUbdg+VBwmakuKiXKFseviiRty1GqFL1LE4OvsSBsnlYbNPT7NHXYTsZ59qa7xqfoJkY78oOe4SyaySY2/MxS6pJxTXQmIoX89XmL1NVVXLC4a7yjzLs+vzBQgO55TGcLRhqlkZxqKwoOkbGOUg1b67X6Qw8VkOIhEGnVz0LBcw5NRyhyUmbRMNHxybeQSc304iZIM+XF2BMVJDA/7r4b7GF5o1GH19qzncdTrUd7hqVTOZcZgo2tziPEdiCbippJTaxErw3uJ/h0lHeU/l/cKnxZa72BAMRUvfM+65SIt3C+t80bMh4ddej6ofsrLQo6iJ7SzHfXHO5dyzgAHtZHSiG9TR9HXGm16IdK6ZzxiMUaI+3wlU6iaKTGAn5UjigGWUsDyCwU4qWY+4NrjmXXKkoOSl90ec7y/fQYo1huZOOComVJrAtznc0U7kB4znItKAkPf7R7iabcUyY2tQ9h0YseEOd5Cb7OnaKSd7arBDYAo1mLbZZo0Vd1dmQa5xvK652M1ZCGPMCxgNYjzzWIpu1yGJpAHcX/wFam3yvxYGPQNNJFDf5s6TKyOn+oP1FStJDCrgsrpEoSdXVpi7iDD3R4nSnw1TeACuqnsV6qOmrDeb8O7ihbtFOJLPl+5jMObSiDFfCFXmWb4a/hyUkJ8UbuCKgL8K/rhLwv8pSiL/y8e56d3Pz17Le0i8RqYw9egetwVUW4y6OzOELm44Ouc15zOBc9Q3clPtObqx8P5fkeQY6ZZfezn3eYyQioZMkjIidvND6X/mjzm/ydjbPHzX+NZaAN5odXt/QLA1CTobLvBCfRmtYHcBwYPDLt9k3cqaZ0BGbSCwmfTPOBhP+l9NFKq5mpuAwyIzZuKCLTFvXszJQ7JDjzOopPEtScVJytuJK16SY523BlBxiWx6qw31OtmxeU6dYC1PeamhydsoN9ZyRXTGCLU0XfSxwmC24CCwUit3O3Qz7kisssSbXKashCkMxu0ua+WaJseIRnmr9KkOeYdoPexk5W9BLFXlb8LWBQT/HDDi+qZiUVRpRxoGimcic73XpJApXmgezJeBqtsEzrWXOxusM+Q6+JSkKn6X4BCXXIlGaqu1ScxMOy4OM6ToAEwEE2mebX8ISpjs33/dZl0tM63Hm1B4mcz6X1au4lsIb0YwGFrcNNSnoPI/kv5tmrOilsNOtsxYJ7h8TxJliRI2RaTOyvyu/jUZkvC7TQUBPNPnqYkpXxZztCAbEZGRMZXN8eSFmLbJ4ZnmIwJJEmeB8G1bkVcquYMjKsxqa4sIjR6bh7GqdhZ7iK61fYWdJMJm3eKJ1ma7o89nWb3OzPEqmoTtvc3zT5CLs9KtUPUkkYhppbLDgynT/XsneoqbH+fHJwzhSUPYkH6kaotixwQLzvYg5p8ZL2ZPkpG0woWjaOmSPey8/MPajdFjFtSSfaz9LzoIpL8/CQLAaZrynuIdJP6CfWrysjrFd7eDZ8DSN2GbEy2jqPo6AI+IIeV1hLXJZztrUXc1Tg9/jI+WPcbSu2cAEydbFLKe7baquy4nNCF9qDpQ1JzlOTgf4loVGkLcFZzerKA1fXUi5mL3IcuiwmgxYDiM2IrizMMWpZolD5S5D2TiW0JyJV/jFN0coO0ZCVpXTCCStTsDpXosbi8O0Y01BOmy3h8jbGq01edtmUazQjAWDzNycm8kVyqrMgeBhYqU40TIV28oA0lSyGWnWQsGXer/LpcaX6aUZl3id6ZzPY9M2nQSea/06Hyh+HM+Cyz2LUWrs0bv4/yz+HGfCDS41yzhCIAU4UlDMh9yYH+X15DxvJBe53JN859BP4QuXC52YC+2MY91lLCHItGZUTRhikb2TtThi1DfNltWBKfhj1WUml5JFgvVQk7ct+plgqmDO16ZhhJB3hmgmkr3599KIHYa9vbh2xplskbI9xQcq/x1r4RkC7bEplnhqrUDF1exw6tzr3sogsdklJzlYTlkNBY93PsmOvDlffcsgf/eUO0ihOVKsM5G3mNb78aXCQuAKi0wZr8/b7T5HKgPqvqDmOUznfBIFQ5QYsw/gW/C16AkAcrZgI0pZthZ5NP8h5nsRJemxLlfQaNqiyVQerq+77C722FA9Altyl/9Rzp0ZouQYuZZvKcLI4Xwnz3XlIve6d/LsWpFeKjjVVNxYzci0kbHWPYsv9Z5nqmDw17uKmmdXe1Rtl6t9F0dIxmWFbtNlMe7QzzJezF4gb2fUrBxnk2f4Zvo1QpXR25rkJAqOeNOsqBYSi0tR03T7E8Vc7k4WBoIh36ahe4y6PhvrBZ7pn2V3IcaTmssds/G+1IFLHc1MoUuZAhsRnGpqmpHLw5WfAGBBrBpQSjzgxnKVKJP8b/M/B8DVrvELJRrCLONKL8/ukgmHbkceL2y0yOs8FcfhSjdikFkUHMmXFn0u6xV6qeRSFwaZoJumyK1i73h6EVsKSq7gsdIPc6VrrsFOaiSDUsDBco9GlFFyBTXH40o3puamjAUhiYJ2nDEnb+SqvML95X/C/7bye/REi3DrPC5aJiPmhhocW8/I2TAUSDYGPoEfM+HlaCXWlkwb5oqmWTLn1AnFgCErz1occbkneH2zR1f0CEWfRpxwodvnm+mXKVou/SylHSsakUszNRLRK52MY+shC6HN2Y7LQX+M1YHikDjAPmuKZzufpO5CnCleHSwwnO/jSshbCiFg383r7C37bIQeeVtwtBoihYVvmevcNHwEG3TYiAQzVp2eGFDQZfaUJUeHLJ5trOHbZqP9JwsuRVthCc2bzT4N2aCXmunUlxYkz67nuRK1CTPFUtLFtQQH5L20VcRy6FDSFZYGLlpDJlJ8XWBKTxMR04wFV/omM+r+0YxbrLspqTK2gG+upOzW+8m02QyeamouN7/CeO4wmVZcxxEAfP03O+dG67/68e76W7C5eeaZZ3jssceYmJhACMEXvvCFv/B9rTU/+7M/y8TEBEEQcO+99/LWW2+98/3NzU1+9Ed/lD179pDL5ZiZmeEf/+N/TKvV+k++XhRFHD58GCEEb7zxxl/pPe/mKLaQbKge1+U/QFt2OCpuItbmwVJxXK6wTEG6VGUOJRQHMJKYKyyRKs2quMzrPM+YHmZX7YM8WvgE++1pjlT/Hk8tK26tF7Glob9MySE6ahXXEjQiY5i8GG/SS01uSl5X2K62vUMF+zO87l3FKaaClMmced95O0NoSUpK2RUMspSm7huUph9Tc2NilXFcn6afQV+lVBxF2LU5WE4Zz2aYzDl8+3TClV6OXqpZ7Cmm9ThXu4qdzijXVTXtRHGXcydzXoXd7jBvNnvYmG5lJEKcIcHL63C6naPIMNuq76WbWvQSxeeuwpn2gJHAYDXv8W4wtCY1yh0jgqtqjaIjsaUZXZekx3zcZpAJRgIYZNATLfa6I5S0kbntqRh/yE3OI1gCXm/0KbkWTywHLKVt3hLHKTk2loRDxQpamynZJxd/joKtEEiejT7HTGCS58etA+yc2CDtmCnXSKVL2fLIO5JPrfw851oJbydLZFow4qW8qJ6lJD32lSHONBM5eKO/wsGqRzvOeDB3HX9/Z8aSNU8j0pzRz5MTLutyjVuGTZcrUdCKU040Io51V7lBHuJ006CU6x40I80u5ljqZxSdmNUo4juHfoqyo2nHGle75HTARHCEimfx4tqA3z5hNMlPx195x/DZEz0cJN+IHyfONFO5kIdy13Emfor3zywzGkhakaLmmcyUBovUPYdXsrfYK24jvyULS7SiKnOUdAFHQECZXpry4fJdvH96hZFAsreo0NqgfvtpxsWey/3eLYz5HgVV5mzHZTO28HA52VCM5xwOOVMABHgUbcVwbh9VTzDspeR0QEkVmU9eY9la3PJQufQyyZFqm6PyBgD2V1yT1RRpHn31k5zsbfKGfpNW/wpFW7FgXeGCPMepZoRrmaBFgDmvwkJoU9Vlvn0qIcwkc3nNNj3DnNqHY2VEImaQatbCFIWmv+Xdqfk2viVwtctGpDnTVOQdAxipWj4FnceVkptqERp4q93lfKNCrBS+pbnF/SD14mHO6Mvc791HzhbcUGuzHmo+UPvveTZ5CVcaghnAhuoyV32Egs7x0maOt+NlzrQMpQ+2jM9qlC4bvHfM0MiKlsNL2TNcDttMyzovrHe4HLbZFhRwJGwrGoN2MxacayUc666yKpe53XoPu0ttFhbKXOkPGKSK5QEm46Jpc6mTEOkutvBoxYKcyhNmkoKu0I8dphllSE8S2JKd/j3EpHjkuLEa8tvXNim5kpwtOLlZJVUm3DVWmg9Xf5iSk7GjkKMRpVQ988MNMklgw+dar3JGPUuiBaFO6ekIS2o2k4hlscpK6NJPNXlH4FmCt5sh2wo+N3s7WQ81Hy0/zLPhaZYHCXeOOtSyEd6Ol3lZPc2a6jCppjjTTJjUk9xQCRnyFG+1CjTkOo0oZVveZ7jcxRKaId8gXH/vstkUFx3BeM7iwbEmn9s8jSsF90wv87Xe21tZMpp/NXMr1UKfyRxMBjGPTeXJ2RYzuZjxwGe24PLywihVmSPTmsPiZkb9iO/ZrrnH+zauF3ezqltshJrxnE3eNl6FCavCfnaSxyfRivUoossGe4tmmnky+VOaSYIlFR+o7iFUZjI+XbC43B9QdgW+JQgzG601v9f8GmVXcKXvMZnzuSBPEOiAYTvPOfkmFzsRsZJ818hP89pGhm9J5oISrtQUbZv1yKabChyp2Qg9pr0ip5Jv0ElTvtT8Zb6+bDFTEOwuaaSWbM/H7/hRv9z8N+Skw4lwiQcKuxhkKSOeYmfZYXdZ0FUJRVvjW5qvr21SD0KmC8bsD+YZFytJM3JZ7Bva54gos0PN4QiL/+e272RcTRJYRvZ5QS3Rki2aieDOEQMrWB1kfHGhwGYnz4vJm7QTyfW1gHYi6CaGNln1DH1sPOfQ1n0qDtw5UmDWGqZPi5m8x90jOT5S+gBVz8a3LI7UJYmSnOR5LnVCZosWtwx7vLmpeHy5RWBLJvKSom1jCcH2ykOM+Mo0flSVwE/oJNBIJDnLwtleZMiH37jo0ogUqRa0s2UWBgMW9DpSaDJtpl8bkca3JCVdYFJWWQ0hb2kWxDksAdd6mpvqmos9i2Yi2FfKcciZopUI1sKEf7S7Q9XV7MtX6KUZl+Upznb6THtFnmn/L3xwz1VGRJlrA5uzbdimtjHHBGXLZZtb4ZWNLpuRwJWCnK2YzLmUhM9KKKh6xp+0EWV0VYwrBd9W/Umm1A58aVO0bQLKbMj1v1J9999q/dUw0OZ4d/0t2Nz0ej2uv/56fv3Xf/0/+f1f+qVf4ld+5Vf49V//dV555RXGxsZ4z3veQ6fTAWBxcZHFxUV++Zd/mRMnTvAbv/EbfOUrX+H7v//7/5P/3z/9p/+UiYmJb+k9lyyPhupzjldYF1cJ6ZmboudzVl+il6bstSeRGP/HJMN4UrIql5llnGXdxBMFuvEqEvC0eThZAqYZ4bXsLJmGvWWBLWHYd4iyNnlbsL8qOdtrs92tsag3CWzBiB5CAYthyLpYIMwytucDpvPgW4p+CvtLCVU3pSryXIuPUXHh8eYvcyL+CnvKkoITM5QbcEXMs01tRwLz4hqJhrcWhwmsjIEwIZ6W0Fzp2+wraV5LLhDpjO1FM6EILEUzThnxLV5Nz1L3LN7QT1FWZZ5q/SqRMAjpO0c0gaXZI7ZRZYLF0CGwJdfVbDxh8c3NDdytgMlEKdblCnU3ZSB69BLFbzf+mDOtiAW9zqq1wMmGIswEdVczriaZj3p8rfUrLAwGCKCTmgDLHUVBrBOm84LpnEYLxc3yqOnAO4Y4005SYqX48dl/Tqgktzr76Q4u0k0yrvQHzDJOp+0jLZM1pDWsqBZXBj3uKv8oNww57HPGmc5l5O2UB717WdSblG2DYdXAd46PUXWNpCJTmusnV9/ZoA6STSwhOdN5nH5qUNpHax1cSzJXdLmrMsJUweYaq0gB759aY1vRbLaX4y613IAGHcJMvYOc3u2MMiBiPT5LP1XcPhJwsNQnb0s+XHqURpRyphVRUEWkEHxP7TGuq0LeTuilioPOe/D9BN/SPJO8TM0xWNqj8gbytsTVAUNWni/1v8A2v4QEgxwXFs1YsYs5/C2Etu8lpBrWY8lwYNOINOtJiBBwddAjUZpbChOkGh5fSBh3c3yp/wXCTLOtaHGo2qJm+7zVttinr6cVaxYHDqNujp4YcLf7KGVVZ8S3tohG4FoZh2o2nrAZ9RWZNv6C3zz0D7mrVudnpo+wv/QB8nbGbDbHA8EhMq0YpFC0U55dKxJmiryleU39Kb5lpjaxAgVMegV6scuF7CWUNp/rZtano0IyDeuDlEGqqOoyF7p92knKRqi53/8Qq1mXNbmKb0le2fTYVRJMeDn6maQRxxRsGHJ8rpf3oTHZN9sKUMsN+J3N/8AJ/RaP5G4jsIz88KpYpCRylBjmzpECRVtT1iX6qeZSJ6TT81mNIg4VK5QYQQrNzmLAYtbksfwD7C+UKTgW+0oFNuQak3nJlZ7J14h0trXRtDmXfpN9cjsjgcNQqceX54fxhNncpsp05vcUzab0ILfiyzI5W7Mgz9FLLYZ0jV7sUHJsRkSZMFO0WWPaKTOnZ9lbbXK0VCdRcLkXcqZjM1twWQ4lRyopUwWL9chhdZDwTPxHTOVgI/RZDh0yDY8WbuSR4NtwhGbCy3FWvEo9GDDh+2wXEwwywe80niVV5hqeKfjsLEGqNAv9kFakGMnG2VlyzdSjWEcJxfXiTjxctuVzXF93kZjgRkfA/ZMrdNngmtpgNJBc2ajQTUzhfqXv8J7RNkKY1PteClNDLb6jtpdeqqgMD6iqITKR8mp0hdl8SKFisn2asc1GJOgmGTU34UK/zcogI9Mm5yRUGeOBixSmUZVpzbDrMyYqrAxSXAuGfFiM+khM0V9zPC7KC8zkffbqw/iWImcL7vM+xJu8zmovz5Bn5HvzfcmuYsYb6mksYWRz59p56q7Pg979tBO4sdbCErBfH2HWqTGfNTikb0AiONl22V222V40x2aUMJOLCDNFLxM0Ys1Mvk8vs9hVltzrfjslx+aW8t/nnpGMY+sxl3uCOWuEuhexp5jgSsHDlZ9gJHDYYY9QcgWrNFDAbF7TigUPjOYY8jJ2FkIeGqnSiV16KZxpxRQci71F0/lbixzGcxLfklxjBd+yeKL1K9QcxSlexJHwdrTKlfhlVvQFtDb35PPtGK1hb0nRS2xm1E4AZnIm6Ppkf526neN4Z4P9+jqW+iazazOGMV/xlj7PtNqOEPDRbavUPLmF6jabr1ZiMSp3c06e50DJwA/2VSRjboG8Db0ULAmtrVBYR2gO5GsAJKnFkytdhl3FC+mrpNe6LA/g9hHJWhxxpuPxneWH8KUhDs6V26yHKW/wGlVXsBqFFC2X1/XrTOZgIxYc4SjXehHXehGxEkwHiqINV7oxf9j6Ta51M87pK5T9iLNtwdG62YTeJG/izuEcviU5Uv67VHYm+JYkZ2mTAYZgoFMcKSg4kprj4VumJvrDqzYbUcY5eY7JnPGx5mzYVbKp2B4L/QRPSvbkyyywxmvZWRIRsaYufkt13l/30n9FSZp+V5YG/C3Y3Dz88MP83M/9HB/60If+0ve01vzqr/4qP/MzP8OHPvQhDh48yG/+5m/S7/f5nd/5HQAOHjzIH/7hH/LYY4+xY8cO7r//fn7+53+eP/7jPybdCtT7s/X444/zxBNP8Mu//Mvf0nseqJR1ucI2cZhWMo+Nx0Cn+Jbk7txuXtMvorXpku6sfQClzcPsfPdrdFRIX3Q5v/kFKt4Ma7SoqhrX1AaTeVMYHLZ2A9CMBb1EMRZI7nbeRzNW1FyNg83usvEvrA0yEp1xVVzlnDjJtNpOR4dM5AS+1FzsuZxuZoz6hlgy7LsU3QkcAQ9XfoKb3Q8w34dG5FPOhzxY3EXRcoiVpkeDViJ5fiOHFMbvsi0P1/ouncQEe/7QxC625fLsLqZcVWtITKgiwB69g0RD3d5OQsoHaz/FLfZ+BvMCS2gEmrJrMydHSRQEtkGFKjQtucmLawPiTHNKvMmUnibT4h0Z3cfKj3Go6jMu6tzu7mc6b4L3rqv06Io+58UbPFL5SW4fLnC5q/Eti75KeW0j5aJ8i7IDV/uCnugxVzJddQ0sJYYMthwNSDVUHGNyf6Tyk5xWV5kX1+irhM1+QHfVaKFPrw4xZRmduUSwPIC1OEIAnqUYz0k87bESSWKludDW1FxFJzFykUGqcdyMyZzPWphwwHsvmVYcLH6ATGsyLRgvd7m+ZnGxHbOraPTLR/xJCo7FSL1LYGnqMo+FxZvrdTJSNrM+SwPJRmSyIBKRcNR+H5mGvG1ybh4YS5jKC6qezU1DHivyKi9mXyOwBHlbsxGZ3Ig8PtfWy7y+kVCgznosaUYZVc/83if1JJ0s5nrrPeRswZDncS5b5rQ4hSMFqVYMBbYBRazXSBWc78Bb7Y4plOSbXFfuk5MOG3H8zibw0SmbxbjLd1U+RKI013oZgZPQyRLWQwOo6KeKPcUBy3GXTbHEsO+wyBkG2Z9NhQRXuwUSJchJm5VQ8vtXNKuDlKKdkbdhLh8yxwQXei7jfmDgHvUco1sI1AWzJ2dnIeQe5/3sqjUZZCaRe0EsEWeabuzw4dKjxoAuzbmwLSjiSpgt2lvhkJIxz+dw3eBTq67DurX8zr0lb2tWBnA+3iCwFCmaTgoLSYcJL8dheydX0waXu3CxUebB3N9hoBusheZe93J0nhk9wUzOJ2ZA3VVsz8ccrhQY9iX3jfucbpZNCKwN53pfp+pHCAFF8viWoJMoNqKYs50+HgHDnmZPMSNWmic7n+RwXTKeg4eCD9DJTFEVRg631Ts8l3yJgmMxlYfnVkzuylgAEsF4NsOEr5hUu0xwKG3KfoRvSToq5Ky6xrCe5jV1CltIFjoFTnf6nOk3eVscZyZn5ER1T1F0DGrWtxS+JTlgP4AvNZ3EJm8rJCZktOpJNILRnORDxftxnIzAllRcm7KTcat1G81Ycbkb8lJvnstdY/I+VA04H29QlgGuFHx65TIAu+1xLsnzDNkBNU/QjDU31XO83gzINJSrAz5QuJXd7jDTuYzl0EcBUSZYNzEoPLfukSr49MZvUxiKiZWmGSe01n2qFJhkmIP2NP3U4tKVGs3Y5GBJASOBue+/nn4VickFs6VgOufTTRRn2gUWB/5WeLHxVNlSMFcw9xEbSdWzyLQi1Zpb7P00ooy9xRxPLFmsDBRl12ZW7WW00CNVcKVngAq9VGBLjyvdjNPpEidaFr00peZLjlQ1ljByxTHfQ2uNp12GfZeRwGFnISWwzDVddk0ivUBzQp8z+VmJwpGKRAmmc4rRwNmC8+TxLM1jUzZ1D+q+xZOrRTPtSTRDnkeUmXyyZmwUEcfWoeZkOFKTaFiPLApOQqIEywMf3wJPSppx+s4k89WGxXJf00hjtokxvtL7Hb69+k9ppZI5jiAFPFgb46j9MHv1jbzZyLCE5kjd41DNou6mRJnFnkKB2VzCcmiUB3NOjaJjMe2U6emIRCvGcy67i4qKk3Gzs4d9xTLXujHVSp8o0zTihJJj86eLA670LW4JZol0l4kgIlHQSQSLcYd2/GdSbEHFddihdnG6Y3xAY17A2fUqN9YKJBrG9BzXXi3wdOcqB0t9xnzvnYDt1/SLONojTG0KjsV93s0UbE2PkFBlrA7eZthVXGib1wu1gZtsxsZPN+xljPgOHyz/XW4YkuwSszRCn1Rtoek9lz1ll+35jImcxNUeSUPjSsnptpma1j0XT1jUfGtLEm3ug2+2W9w8JJiP24xnM6xHkkuDNs0Yuqlm2LcZCYyUuOSYD7OtlhhS40zIvd9SnffXvd6VpX1r62/85ub/bF26dInl5WUeeuihd77meR733HMPzz///P/hv2u1WpRKJWz7z2kZKysr/OAP/iCf+tSnyOVy/1mvH0UR7Xb7LxwAw47PlJ6mpPMctd+HjU2HHk+Gr3C1F6J0wtvZPDnLYibbTtlxTChi1mFVLhOKLg9XfoJeusq6uEpf9JmWdd5o9JnKu8wWLBIF+0opNd/CtzSn9UWGfcnlnuC9E3n2FhNWxEXGcxZVyycREbc7NxKTMtgy0l3oGrxo1bNYHPgcb+Woe5KD2mhSX9XPMuoGnOg0+PpKntJwyIgPw77N6iDhHvdmbq51+Uc3XcCXiqv6TRRw//g6j062GPFN16rgGCPz/dUJQiW4f7RAMzZFx/lOj0dL+7gq32Y5a/Pbq7/A+ct1NmKL8SCm4hm974FSSJRpfuAHFxkLXL5vbBfjgY/YkjT1dcTpjkNT9/Es0w16dKLNbMHj8qDD5lbq9dLAY4gS882nAANjeGQi4c30PDXH5JP8neodPLOSMJvXZCS8utnFErARSe4eqvLthXvoiwGf7zzP7qEGnSzm/nGfc72vc9TdxYSXo+RF5IcTZgoW3dRiLe0R6pST6hkqrimiX29IVkOXmgt1mef51ZhEKVpxyqiXoIG5QoAtBWfmh1jsR9Q9hzFR4QTHOBpM8t6xPmuh5pNvT/LiasxNwy7/4MTP82J7lURpHh98g1PXhnl8qUNbGWPt4dF1FjnN7nwJR8KdI5L7h4Y44I+wLjbJlOZqD/Yc2UBsgS7O9Vv80vyneH/hCB8uvZ92omkmRnYx30vYkA02I4/9FZe787t4eS2llyWc7bWp+4LX1TeYy+fYkBuc6/Z4Nj7GPmecO90jbEQJZcfhle4i94y0Od/1cS24YyhjyssTK8V7g9s43/VR2piGh3zJR7etMh3E9ITJx3k2PsaQLykWQmqOy86i4EDVo5tkeJZiLjD5IyVHcK97B2/217jWh13FjLv2XqPmaY7pV1iPNH9nTjNdcNhTbfLsao/l0GPId5gOUpbCAZ/vfJ6ibbrr3dSik2hsIcjZGYfrhuw0lw+puZq6qrO9ZPMTb2a0YyMbvWXYY9IrvIP49S3BiXCJEc9jR8nCkZp7RxWbUcJt7l7Od5/Et8U7eREP1kcY9kNurhuK3zleIbAFL6VvckdlmLwt+MJ8jhvqPg9693JdzeVKV/OJ0V3kLJur/ZAdbKOTmvfcSTTjObjchWEv4movZK6g+fby9/HaRoW8LQiEuV9O5S1aesCkH7BNjLIWCbqZkYgcKX6MO4ba5G04WLXo64jlQczlVhkpNB8tf5CRQNCMBR+aUZzvWkSZwJcW1+RZlkPJnFfhozdfYJczTD6IeDm8xEBE7LdmGJcVRrNp8raFZ2XcN5rjgeEaH6vcyi3Dm4z4moPlLjkrQ29lPixHAw4VqwwyweGxNQ5WOtgSBNBOFNO5ASebAxpRxuXNMiv9hC92PmdyULbi0feWfR6sTPFKa8MY7BshH50Y5k8av0Q70fyjqVlWBymuFNxkHeCGIZvjjQHz3ZTn1zvcOdRhez7ilQsTJBrGcxZvtySPPXaN6SAjUprDlZSKH3FDNaWXav5O/btxJywOlTMenvT41JkpZvI+I77LeM7i58502b5tg9UQ/sH95zjfyljoxywOPD5Y/DC/u/YL3LB/kVacYkvB8fQioRJcX98kVpmRQCUp940JUmX8UEXL5Qvdr7A9n0dreCk9hS0FnUQT2AYPfi3scVmeYvLGPqshfKb5IgdLMa1EEIgqn1r5eb5/cpJvm+ySt222F0xX/7n1CucGTRbDkK9Hj9OWHa4N+kzlJTP5Picbxkh/oQOBZdNOHA6InQwyi4NVydrAZ8yPOLYhGQkksVLsKuR4ZdPh7bbkA9Pr9BLNZKBYCiWnWyGeJfhG9BzPDc7y8dkOrXie75kb8I0Vi1gJJgNFztL83pUS2wsZt88tUnIEP7InJMwyXm01iJTg7uGYvCPYVchxqOrxaOG7DVq5D5N2maeXIzZCTU46JKS8dwL6qc3qQNNPBV9fcblh7xKv99YY9kOudDPuGe6zv2qxESVYQlCzcjhCstJPGGSCawObi2GLr/Re5sYhl98/NcuJVp8R32Uqb3HPaMCQp3li8BJlxrjS97nWF4wFmh+YK1JyhSEWDgZkmi0/n+atdodDNUnOzpjKwYWuZLtb41q7xAFnkuOtPAuDAaNeyqVOwqw+yI3OLiZGW4wEgiHfyL4LImBVbHCj9wEAzgw2+Ub0OQ6WCxzwR/ihI5c40ZS80bRMqLQQtBMTSrwRetw7mvK7C2ukStOKNafaNpc7GXl8XjkxSS/N+CcHljlQ1hQdyVPhZ3m1s0Yri7l/3OZoXbErX2IySLijViUnPCqO5gOTZTKlaUSKTqJoRBmhCPmPG5/joDvBA+697A+G6Ivuf1ad9+7627n+Vm9ulpdNR3N0dPQvfH10dPSd7/3/ro2NDf7Vv/pX/NAP/dA7X9Na873f+7388A//MEePHv3Pfv1f/MVfpFwuv3NMT08DcDHZJNOKF+MvsEmTDeYZlxUeDG7iorzMDeJOxvQIa3FIzfaZjztMF1xuKX4/ZV2jokZ4nefZad3Ofn0do9QY8m1WxTquZTox32wt000lcaZpxDCixvhU43EKtiFAgSH2KAwCeU7tpBHHnIi/QiJiIxOoZoRKcKE7ILAypoKUTzefwBIGv3infR9fj7/Odr/MG5sh/YbLZgR5W1BybE7Gi7QSB6+iONn2GZY7KdmKWrXHRLnDaL7HwsBgYRMlqLvgS82r6wmPDx7HsyQ31Y1ef1LvoiACHq78BK3Y5fUN06WLM0iUIm+nnO91wTbyl2HPIB/rnsUOtlESPu1YUxI5hnzJWpji26bAKcuAGWOHYSo3YIVN7i//E+SWH8Xe8uxkyvgsVgaK+8dtjq2b32tOOiz1jXQjb2uu9iLKFCgyzIuLI+wq5LEFfHf9B7CE4KX0FEMjXdKemW5sL3bJCZeElEfz7+fJ9XUmcy5Fx5hYI2XkPM+nX6edxowENteNrbEeKl7uLnNmsEk1CPla7zfZWRKUXZub5K040oygF3sJAthQPS60NT+1/Z+T0wEvJ2fYrW9kvNDDEzYt2eLJ6CUWmkX26ZuJlSZva3qZMaO+El3AVwELaYtMwasvj5OzFFe7Br/9gyPfgwLmexGtSFG0Fc3Eoa9SOmITzzI42EaUsavsMOR5DNt5LrQzhq2dXOj1uNGbpSCNifbPyD+tzEwGZq1hBqnNDbU2V7sJzUSyvWSxveRyrR/y+qbRqvdVSivWxJkhhe1whhnPGUx6K9akqTTAjmJMqjV/3PglEiU5N2gS6jZL/YxEawo6x+6ixhGawm5TcB8VN/FH3acZ9SNiBW9tVohIuNK3WBiELIc2l60LDLm76aaCkgOvbHrcO2rS3dXWuX6xWcESmp2FkAPFMte6GR+dqppmgycILGPed6VgLh9RcU0A6Neip7DFnwsLuipmKQz5WO0HcaVgXzGm6kGqNYGTstRXvHc85YOF96CBPFV8S+Bbmt0l0y0vuZJeavTyE37GCX0OR0gucJm6q9mMHdqJmRQOUs1QbsBcIaAZGzqX1oJUa06J09R9884iEXFdTfCKenEra8u85mX1Ko5U+NJs/G6qVDnFKWyhKPsRF7p9the0mWiMr7EWKmwJFdfmTucoJcdge4WAmm/R6gXM6AnGZYXAlviWxZRb4rON/xdXejkudjSnGgnNSGNJRaYhzGwSJRnyDbGtIF0udQecbGo2OjkSJfEtwZCneTo6xrFG4Z17+vU7lsnbFg/nPshEkDBVsCg6xmzvSsGYVeI/rP5HEhRxBtPVBxikBvNccCzejOdpJQnNGCYDn4m8zXWVAvUgZKbUYX7g8lzvMufbMakGUo1vKUoOHB1Z5/nVGue7NjVP0ooyVC/jSt8i04LJIKPqCeJMU/PgQL6GPwnPdubJIqh6kpm8y2pkJs0PV36CsO3QVhF1T7BHbCNRMLmjhSUkZzs9uiomZ2m6KYzn4FDNZbe4lU6iiFTGIbGHQaqoeYJDFc16FFOSHovtFwmXFO1Ec7dzM53U4kQjY7vazY/N/nNSJSi5MaOBtdW9VywPJHNemcvyIjdbD3LAmeCadZkog15iozVc6UkGqZEqOtL4w760IFkLoZdZ5OyUc90thDDzLPUThjyYK2iudQr00oyKk7LQUwz7Btl/g7iFlfRtAB7wPmi8joFkzFd4UjOdM027MBOUZhIudTJ8K0NjVBBFO2NvtcVmmNFJzPm6o2Sydq6vZDTTiJuGPAappqtiXh78ARe6NgsDnyFfcHMtYm9JE/UsGnIVIeBQVTISDEiU4Jy4yJBvEdiSVhYxEthc7gmu9WDWKzHfeYlMC7qJYEEsUNiaQCjM5GNYz7DfnmZxIKm40Izh2VWJ1nC2pbkgznA+WTGe1kwz6prrJlWmsTKX15yN1zg0s0LJtZBo9pTytBITIbDDqxLYAidnnrlSQDsR79AtJ9wiOVuxO6iSZgMqrvGPBTXj591XUhQdyXhOMpc3+V05O+P5dZsZu8o3k2P0UsW1rvE0lWyXfmqxoBpYUrMwkGRa80DwEXZ5dXLSNqqXQp/AEswW+khhNm/rkVGkVD0jXwszxQ11iyFR4mb7YQapopkktOOMjvpP14h/U9a7nptvbf2t3tz82RLiL36YRvL1lz/gdrvN+9//fvbv38+//Jf/8p2v/9t/+29pt9v89E//9H/R6/70T/80rVbrnePatWsALIkLPDf4Xd5f+E7e7H6eMmMkWhFlmkNiFxXXSFLaokfeMR9BxRWsW0vMOTVuzI9ymNso6TyetMhZ5mG1Q46bvBZPs9sd5k8XM+b7IefbMduCIrb0ON1UrA401wY21+RF6p7pVB8q5yjaDh+tfJxhVed8O2Y2PyDK4J7RgGE/whaKh4MHTe7KQDESOOzjFmYKFvsqHueXa7zR7HK5m1ByJX3R4XLPpb3kMZdPGFXDTAUx7bbPxY0KuSBmZ0Gz2EsoOhkKY74ezTk8mnuEpXCA3poMKDRnxJvUXJepYpfZgsX8wKOfauqey3zfZ9rPs/FUxOVeSC+VdJOMC52QjgrZVQropZqa49LbMoMu9gO+3Ht5ayyvObY+oBm77LBHaMgmRdvm6eUIhcmxiZWRqywPIobcjPdPpswGeTZUl7xj0MH9VHB9zeecOM18/DqWMPKlVmJkLpcHXfbp3QSjin7b3To/NV0dMWTlqXqS26v1rWlURi+1eHU9Zp0GvmWQtR+ZCekMPCwhjHzFKTM+1ubR0vexs5BScSVLqkkzzrjU87hhyKERa2a9EhVPsKeY0RcDDoidKDS+l5BphaVt3hvcgmdlbMvlyZTpbP/B0iovpifZpqc5UqxTFXnqvsCWJj3+cn+wZdSGz3WeJG/brMQhE35ClAl2FgOudl6g6JjCW2KyQxpxghSwryJ5tLKHhJRUad7gNVYHb9PKItqixw2VIufjDTwpOd/1KXkRO0sO1/qCXYWU1UHGN6PP8pEZo/1q6z47S/BWo8y1gUvFNddQ0TGku5PLw+Rti2Zis9RTfP/Ez/DCRo5Ru8C97p3kHclGHLIhN6m6ZoOPFLQTI4P8vvq9JErSjRUXey531qvcM9xhrhAgBJTVELc6+4mV2TDM5hW+pZjIu0yVOry5GdFNLQaZRclNWB2klFyTl9HPjA4+VnAm3GB1kHK26xNm0JLrZDplzFc4Eq70Ld4WL3NKvE6qNJe7IXXPyBmvdDKSzOT0ZNpIN9pxxnYxQTM2EqNdhYg3NhI2w4wL7YSqZ4r96WyGTCsm1RSO1OwodliJ+yz1FXNFgef+uRzHQCMimpHmsNhPxdFsy2veWx/HlZoJ9lB1YTaXMuxpxq0DPLNWYSMWJszPhVvs6xjJ91nsFngh/hxgMkak0BQcwdWuoupJZosWb7VM4dnbdJFAO3KZzHlc1iY3K8wyHCG4K/8Jjo6sM503bzRR8OZGjX4KrzZMMOv5dkorMVLeUMcs9EM+fbnKRujRSzVhBjdbN5BpWBUbTOUtnIIpfibyFs3YmOwTpVnqp3x1Y4n9VZePVj/BbC7ghbWY26yb8S3B+bZmMi/ZY01Qc41vYzSQ1D0TcDmzp0maWYx4KXVVZ8R3iBV0Lgg+fclkdI3NdlgOJTkLGrFmOLA4+dIww56mYCvum14m0yafqBHDPSPG0PVYfZqVayUmc+BacLTWZSPMWKXBV89Osy0ovJP3MptLsAID9MhJhwOlIp1UstiHz65dZcRXjNoFRnwLT1oM+zaN7M+RuUt6g0hn3Fr4e3z6xZ28NLhCYAsu9QwOfVs+x1I/4/VNxbl2kVRBxVGshEZyuxnHdNUqvrQJbMF+dlN0NIsDj16a8VYjopNkLPYSXtoMGPbNlFYDx5sumZbcOZyj4Ahu9Lbxqn6VcT9jRz7ifzxtJiCd1EJjJoyP9z/Lsm5yl/MIX10uMRLY/PZlj/lexnIo2V7ocd3MCmEm+PWF8+gUNqKYJ1fKvKqfZX+xSCe1iFOL8ZxFOzENhRMN05iMlKFXvrIecagmkQhK/hQTgeJQtWUCd1MjzX3z6iglVWOhH+BJTaokJxsxd/l7UZim5XSQ40K3T94WjAWwEce8r/j3SRScbChu9naSKlgLFUt9GHIzLGw+s/YLLPaNfxBgeRCTKNhZEmxXuynrEjXbp+YJBmmGZwlOd3JUnIx2Kjjgj+AWUvK2UXT82fItgW8LGlGG5UEngZONAWO+opkN2CHHcITJEFoLY8Zzh+mlmrGcZOliCd+Ca32zOXl50/igVwcZncTm9qGU7SWbxwrmGroQNRjyLTwpGcsN2O0OsdLN8+T6OuM5s1kbz0luGnLZiMx7/J3mHxNnkp0FhatdhjzTrCs5how6yAxKPdqS5p/Q57CE4Knkq1TE5H9Rvfffeukt/8xf5Xh3/S3f3IyNjQH8pSnN6urqX5rmdDod3ve+91EoFPj85z+Ps8XPB3jyySd58cUX8TwP27bZudOY/o4ePconPvGJ/8PX9zyPUqn0Fw6AKhMUfQMluLfw90yApkrpJhkl16IRxyyIJVbFZVbDiJwwN9uJbJpOajob82KFM/I4X48+z9PJn7IeZnxu438kUTDuZ8wULCby9pZMwfws35a/j/dMaE51OigN9/qH6SSwOlB4lqDsmnCwvOUwV3R5vVlgIlCcbGTMjTSouQlnwg3ytkU7Ufy/F3+JmJSNSHNTLWUoN6Ar+viW5HI3ZEbNcq4juLJeYTI3YFs+x7ZSh+Prdf7dOZ8La1VqbkqiFZO5Ae0ErvRtMmUC50Y8n2c3GggEU1aVPFV6aUaqJKnWlB2DfZ4tWLzZspECnr4wyYJYItECIQRXxSIVKyBWcFNdczVuU3KMifZU2+Mu9yiNLGRvsc9Y4FFxY4YDG0ebjUdfJZxsuSypJiXHxrVgR9Gn5iYMeQnNOOWaOMVaaHxC3VRzoJTwbaUjfLz6UTQC35IMe2ZDdUOlyJ+0fpXGRY8ksVjqw4V2kWVrnuP6JHnbTIt6iWYttni7bbO/6jIphjiojzAa2Az5A843yxQcKDqSq2kD21fsLDm0EskTvbeZ5zSLUZ8vz2coDd8126WdpPQSk4pd0DlOq8sUhEdn4JG3HCZEjbov8Gxjdu9nGb4Fk7LKe/PXMeKbgLhQp6QKFvoBX112GXI8XsyOMd+L2aavZ65ocXM9Tz+TlB3zfzxU+F6OfFfIuG8gBU8vR4QqRWlYD6HsQM3K8WJ6kpvlUe7wP0JBurTkBgv9jN3uEJfjJhUn42yjghTG1OtZmrmizW3uh9g9ssHXN1d4uftpcpZmLbKY78NamGIJSJRmLYyZLPSYyJvAuktRi2FfUneNCTdvSz7f+RMcIXG0S5SZgr9xXLC7qNlbNlOKduJQ8yVlRzHsayZKXXqJYthNGaFK3pFs3/IpXOyarJwr3QGVWh9XSpZDB0toGpHLq+o413oRZzsS3zI42fUQcjrguD7NyYZm3FccZA/t8Brt1Bhpr/bgE7X7SXXIqXSBs/Ism7HLaxsJidI4lmIzSgkzyW9tfBYhzEQ1yjTb8xmOVDQy82+n8g5V15j4UxQnxetsy+f42asvc7FT4KZakfl+yOoANro5PAmeZYzhrsyo+4LNNCTV0MtMKO6ppmBSVtnY8ooMeSmH3RmuKw/YiGDU18z3NJtJTDGI+Px8wD3eR4iUoGBr3lgepuKagqUZac63Uz4202W+l9LqGI9KYKdc7g+Y0MMUHIuz+hJvJJcpSJdCPmJlAK4laCcprzdM0OFPvP2vyLRgLTZvbH/VZVtQ5IHxgL0lxVLoMJnDyKhsybCrmGYE3xKcPjUMwHwvI28b3HmiNAXH4p7KGHVPM56TTOQknpTUfJuRQDBXEDQiTStNGM9LlvoJjoRuaiZ5SFgdBKxvBa66lmBvCRqbOR4cd7jazbDy5u9OBCmLvZiSIyj7EUuhJFQCITSNyGwIF3sZo34MEoqOJlPm3Ppc61Wqfshs0WZSDLGr1KPum/d2Qc/TzyTr5wNuquewhGBtkNJNBaMBfHh4htVQMp5zaESKkcAmzDS78may1c8EO51R8pZNV3a4Z2yDQ84011XNdD5SRjb5HTOas4MGT604CAHHNgQ5G0Z8mMh55OUQgW2mYc/Ef4IrYTmyGAlsbh52uW/MZjXrkih4sX+NbXnNfDfjcCWik9jsK6WMBZrVMGJa7SFRgpKTcFu9xFvqAkU7Y8g3UrpH8x+hSpHxnEuYafK2yTFrxin1rXu2ZSu25zP2yzmWzxYY9l2u9uCIuIsbaoqNWDJIbWoejPgOTw7eou4Z0MXCQHJGP89T4WeZCjIiEnaKm4mUoF7qsRlpTrZsIwsbeOx0RnlqxeCn32iUGPZtSo5Aa0O7vDzo8JZ4iaPVyJw/OiRnWTyxuUA/y7g66JlQ1CilESnOdGzKFHik8pPM5KFgG79kQ/U51t4wP5+QDDDXwmQO3uQNPrnyH1mPBFf7tkGBS8H8lQolBx6dMBLNWMHvbf57BHA5WyduSzJtmqHHG3DXUIWZgpmiSGGkm9Nq+9a1I2hHHjUnY8w3zeb3jRVpxBZrcYRvZdhCMeRBYMNnmn/IB8bq+DYcqFqMVTokWhOmFh+brCPQDHRKLzWNs7IDiwOf9waP8MJGiZKjGKHKyaZmMxKM+YqiIzgjTlO0lYl2UCPc7e/FtyxyVp1MZP/nBeb/zUvpv/rx7vpbvrmZm5tjbGyMP/3TP33na3Ec8/TTT3P77be/87V2u81DDz2E67r80R/9Eb7v/4X/59d+7dc4fvw4b7zxBm+88QZf/vKXAfjMZz7Dz//8z/8Xv6/F7BRKJ7yQvoInLDzt0cN0vxYGIRXH5YA9y/XiMA26HNfP8Va4yobcoKH6RBkctKeZ1Lt4f+472CGPsp5EHKn+PZ5uz5Nq01EpOoKJnCDvCC4ODC0N4I6hEjVXUfWMY+LTqz9PK9YMUk070SyoTSZzcKA04GRTMle0kZbp0lcpkGnYV7H5vrGfZJtbIVOaiSCkUhrwUH2Ug1WLHUWfTZp82+SAL86X2Tbc4OuD13DtlDMdhwfGBdNl06m5yFUyJbCE4ErXPAiP99fINLxvtMp6qKh5NgLJctbmVKPMcl+zvdA1lLe+QiCYK1psL/Y44m4jZylmChZDapixwKGXKPaW+kZG4Ggzfo5N8nlLtqh4EXvKgryTshlmvNz8d6YYlutMBIo5p8bpeNUQivKwGTu8vJnjql5lr76BiZzHHyw0mCuYTlycQc6CwMpYiQf4lqYZaTYixYeqP843Lk1Qm+pzoRPyyqbHZnKJHGU2Ik3RNnhZgKGtB+x0wWXE9zjR7nC1WyBnZ2hgdZCy1x/i0oU68z1DPxrPpjjEUQJhM5pzuLkWMpzr01cJ4znJ223JsfTL1NUwRdthtZdjQW3yx41fYrmvqRb6vNXb5JJaoeJkXFMbZBpWwpBGlPG2eJlWrHns4auM+LC/anGjuJG5osu+XI3PNF5lJqf4xorDWDBgpa+oug5ixxihEryQvGFkGsQ8EX6Oxyb7XOtpvrj5r1novYpCMx0YJ/5hazcn0ou8HS9zVhmf3GtNj4vtlPvGXOYHNoGl2V3M0+n5HC2M8B3Vf8RKKGgmgsOVjIpr04wFjTimpQf4dkpxCwjxevRHbEaKspPRyiJe76/w3uARjvMyNha9TJJqOPqny4RKsL2QcqWT8VrT41x7QNFWzPdgsx/w+41/Tye1GPX9rc9ecWx9wE21hK8vpnxj8DtkqSTRhtjzWxc93u74PBDcwHTe44ZqSsUVzG4VBHuLBQq6wm3DJiR0yLe5yf8OeilM5xKO1ozMqh0tMKzqBLpEYCl2lx1W0i6X20UyrVmLJbudu5krWlwNO3QSky1xphMw5eUZ08Nk2hQFvtRszxVYbL/IRpjyg8O3ctPEKr0E9pUDOonmXLvARmQ6wwtpi5c2C7hSkJHRjAVLfTi2HrK/orlp2GFHQVN2UvJWxlhOMltq83YzpJvChV6P6ZzPlc0KN9YUO0s+mYYTDcV6bFNywLdMKnwzibnl3mUipXCszJD87IwJ36evY6qexbia5EZvG6u6xWDgsr+icaSg4tpM5RRvNTQ/s+Nf4EnF7mKOqSDmTDPhxfgMs7mEnKU5WOmSt8y98OXoHEUnY3vJZamv+N0rFSKd4UrBsBfjSHClZCEcvINcz9umgJjK21zqDpgKzFTallC2HVwpeCF7lvNts+k+0Yg49uo465HDwzvmsTGbn6s987wQAiqupDPv8OhEk34q+WrvN9HA8FiXkqPpJoI3locZCyRXu4qCI9mMHZpnHEa8jKF6F1tqPlK5kUFis9JXXGGZXmLjbvmGtjNFogTPXBvHkeb39vvrv8gr6xkaQdE299q8DRtxxEI/pupJAttMNX9t6WUTaBo4XOdOkWSSmYKZSkwEinYCX+6/gC8VFZFjJDD3+uurcLUHdwy1eXWwwJzaSdGRtJOU/dZ9vLqecaljiHe2gJ2FiIMFgxu+0Z+m5ipmixYFO6ObmknckJuxqxTwXOvXaaWSTAvKjuZM8/OUtmASJnBWMOx6nOg0WB1o1kITNnnnqMvlLqyFPtHAwZHGe/qNhVGuDHrMFmBPKaCbSjYjwflOntNNUzBPZrNM5y1Oh+sIoGiN8SPj300nNeXUuF1iyM1Ya+UZpIboqTDI4iHf4gNTA9ZDzDSqt06izLmzrJsIJAf0LeystLjcNV7MVppwf3WC904Y+pcjYU/ZZVdZmmmz5RoPXJBxsByzPR/zk7vzzHkVLnY0kU4piIA9ZZdRL+Ve7yY+Wv0EngXbCylnmimBJfjC1WHaCfhWxlocsTiQfEfl+6h6gmPNT9LcyFF0oO6ZjDnf0rzdGrAQ9kmUYKmfkaJ4K71CYGksoYiUYNxPWB0krEWwEgpCHdNJbXaWuqyEZtq027kb14IoMxul/sB4i/eOr2NLzZWuJhA2r3RWAWgl8GrDeOI2IsHJlsO8WOFwzUjHH5haeafIXxgYaEYkIgJb8I3460zoHYxl3xoV9697vStL+9aW/X/9V/7vXd1ul/Pnz7/z50uXLvHGG29Qq9WYmZnhx37sx/iFX/gFdu3axa5du/iFX/gFcrkcH//4xwEzsXnooYfo9/t8+tOf/ovG/+FhLMtiZmbmL7xmoWA6VTt27GBqauq/0U/67np3vbveXe+ud9e769317np3vbu+lfU3fnJz7Ngxjhw5wpEjhuD14z/+4xw5coR/8S/+BWByaX7sx36Mf/gP/yFHjx5lYWGBJ554gmKxCMCrr77KSy+9xIkTJ9i5cyfj4+PvHH/mkfmvvfaJWzkk7+OovJErGB/NiFVkNeui0JQ9y0izhORQbghbeJR0gUP2LJfEm6wMMgqOZKdbp59lTFlVPGFxW36KcT3EsQ3TvXpmvYEloJtoUjJSDZ3UBKplWrARanoJfHzkf6AdK44nV3mzv0adssGHhi6vNc105djlcS71fA7XcqzEfVLj5eSl9E3m+yFLA4+glOBIjSthrgj73DF2VJs8MNqn1Qm4zTnM1xdG+aEbL1J2MkqVAQsDh4PWHCdbBcYDE0y4s2TkLCO+hdLwet90WQq6zC2VOjlLsbssKAch7Tjjcr/H0VrM6xsRI6UuU3mLtUjiScGCdYVXeytUPclwrs+eQoFh1+Rs7C+lTORtFIrlfo68rTndKrEU9/lw/ad5Jn2SuwvbqLmpMaLqIquDhPke1NyEg6WISYaxhMSVghvLVTypkUJzttMj1eYCOlgusKfY46noFX5z+edpphH3zC4RHCpQdBwmA8V+eRdH3G1UXExoYGb8GjsKEQUbPGk01+8bK/LSpkfeTljuq60QOaNffyL8igEHyA1m8qab/ch4TCuxWewWGHJ8fmvjJT7fepOKO0NZBlQ9i8lil1VxmfvKP4Yt4dxanTw+jnb5lSsLPFgb4+7hlFHfZzRnc5BbqfsCWbRNFzcy3eWNULERJTxSuJGFgWQqD53EoeBKGnECixt4UnOffwPn24qc8LjT+TZ8KyXK4I7yj3Bf8F14UrIeGpypJWCXmKVGhd3ydrYXeyRKcCE1xttmLFjsG2nQVxeH2YhMCvogg2+f3mCQCfK2QKNZFGuMWAWGRro0ItNl3xM8wFqY4kjN3mIRG4uSa3GLvJ2bisOcaApiJfjJiVs42dDkrYyzyQo78ilDnseDu6/RTjSPL1bIVIgnNSfCJfoZtBPJTx1IsYQhAV0XPIZlKy7qRcb8lL0Vyf5iSLqlfZ/J9xnyFEVH0000YabZbY/jS8WZlpnGDtt52glM5/vsLfV5ebPFB4ofZ8wL6LDKauggEHx4qsLte+apuDb3jzY5nz1PP4VF6xqBZW7rq5EBMox4HuMBNGJB2TG41f2lD9FXKUt9KNVCTnSa3FxP8W3Bua7NzpJECBiWRZYHcLGdsWwt0oo1+8oKiaDqmMnSXD6k5CR4lsISEPgxO0s+2/Mpo25AYAlOtvIMewk1z5iNS47kkZ3XKNomGLLqWUjAHs/xqnqJocmuwd8WBzwXn2QuKPFSZ5l9JTNFOpQbMiRGS3O0LjhYFaxHgr1lgbsVqpppKDoJ0wWHu/29hJnk3tlFRgs9YmW8iDvYxuOLRhrkWoLv37XG3mKOui853ckRZpozg01D6PPM+bgWGinYTB625X3Tgd/M2AwVJ7NLKA3XcRuLUZ9EQd1zuOG6JZ5bsykOR/jC5eiQw/Igox+7PLWUUXYF4cBhvh+wEkluDj6Cb2mCKc2En+JbsDhwWQsVFwYtZguGplWaiYmVoLRLcaYl6Caw2M8ZEIcY56YDC8z3MqIMJvIueTvjUs88P8ZyNsXcLoZ8i2+udhnxUgTGE1Z3PYY8l3asacWGOvUjYzczW3AJU03dl2ybMdMQgJxlqGC327fQSCy2FwOqrvneRJAw5sNQbsD7qtN4wuJUt8WVbI2qzOFZkjuGM+7b4qqf7fpc60WM+MbvFFgZvQRydsawF7MeWSRK0E81PzDxz4gVrEcu75vYZKJ8B6kyMq/lQUI3yWgnKR+cqLISGnqaJQQ78jEHyppImS53qqHiCQq2omx5zOZSpIA3NjXDvqaVSr5tWrERKQ5XiqwMFCkZRyoR7XSRMDNTie1BacvnYX72wBb0EoPnvWVymbwNVS8i1bASmmf8emhkwp52iYi5vprHtTJurmcs6k2mcz6rA8VMLsIW5rle98yxt2Re56ZKlbydMREMsAVM5frMFMznXLV8JALPgvNdG98WTOQsNiKwheKmYYteqrm+HGEJ2IxcRl2foqNZjUIWe4p7yz/G2O4uJQeu9Ew+2GYE34y/yI58nnNdix0lm4ZcZ4eY4rWNjHPtIiVHIYTm9hGHbqK5b6TP/kKZK32HuR0bdBITdL3fHybOTC2zHsJTS8OM+Oa5s9CX1H0DGZmUVRxhnpfXlTMGqSJva+4b6XF7bpbrymYcGgQxOVtzt3eYzUjTSzM87bEeZtzr3M+EVSG/Bbb5m7re9dx8a+uvtLm5evUqURT9pa8rpbh69eq3/Kb+9+vee+9Fa/2Xjt/4jd8ADEzgZ3/2Z1laWiIMQ55++mkOHjz4f/nvtf7/svef0ZKlZ5kmfL3b79jh43iXedLbqsqyWaXyKpW8BdESSNjGfB80Hwyoe1gNPT/EtIWGhgXd0zRuQCAQIFMgW1blfWVlZmWlP3m8Db9j+/1+P96j6tECupEEszRDPmvFn8iTEftE7LP3+z7PfV+3ZOfOnX/je+7cuRMpJdddd903dcyWMDkvXuErwZ9zxJjGTzNlNBQOBoITvS3aqaKiBKnkGm6iK/q4hkaYtTiXrtBNclxDEOYZn27/BkdrjpIoVRyuqeWMOzkfmanwKysPsDQIsbHYCDK6iaAZSV7cUmFz3ThnvKBTtjTaLHNjcYRL2kXKpqRuJdxULzFTyFkLLdYjwQOti0w7HkVDEmWSG/WjNCyb37+Uk2cqY6CbCOZ9qDvq9Dl+zSKPrAwjJTSsFLeeccfOZcxCRjsRzKcttmJBkAmmCoqdP14wKZqClQB2GUO045QbiyP0E8lyaLLNWcAzNJXBYUeMuSYT92s0o5xXtlKakWRHNss+S723vk3XAUX+qZgZl3sxB4xJvrjqMO8Ldpf6VHSbIddgs/eqMmr7Fs/kj26P/DXWgpQw06nbEfvKNl8NPomf5uwuwa8tXsDSJEeqHlEmWQgsCgYUjJQaE7y3/i+YcgtomkT2Y15Pl5j1InIkS+EAQ6jF3XIYUjIkRSOjaMAggyFH5aL0EsmwN1BZFDImzZW34w7jfm5sdJiSo+hCcFG8yp5qhxdbBmuhxa6ywY3a9fzE2DW81b2FKc+ml+Q4dsKPjRwHwNYFU6Uea9oGY6LKj05OM1WQ1K2UgiGIMkmTNpYmab6giFeWBo9ED3CwqvH57m9RtQSvtRI0VBZO1YKLzLH5Vz0GmfIjdJOUUctBIinbMSVT4KJyLTpJwoGqxWoUAErHXtAMXGyKVsx3z67zlvoE8z7MFDLm+krSeXO9S5hlzBQFYQYjtT6fX8qY92McXXDAmGRHyUTTFdb4hlrGAWOcryZfxtJyslziSIeSCa9xAVODmiWY68MH9i7y5rGc5dDkTeUJTneVxCuJdWxdbbDu9H6AUSdmtzFCN87YijVmal26icGuskFZegS+xS4xwVQhYMLNOTDc5PPBV+jE6oajAa14e9GT5vQS1TAomtBwBPsqJuOuokcNUp1hw0MXgnaS0JBT3DSyxcogp25muKM5h6oaNTfgXutdZBIa+SgjruDS9gJ22M6JspwpV/1ttBKdS72UllzAFIooFgc6xypVPCNjXxn2FlO2IrU52FW2uHskIs5zbrUO4KfbBLiaTSoVmSnJNbqJSStWm+HPXJyibqub7FRR55paTt3KqFkJrzZjioZk0U8YulkS5yr3qZ/kjDoOgxM+H67dgVUHQxMkic4heQBbh33WMN04R9cE62HCxNE+Ua78P3EGb59o00sFN9YiXu04/NbKf+SR9RLNMMczBZ1UIwhNDENp7TuxJMxTbmqAn6rrnWOkuAYs9lMcTUE0DhbqOLrOjkLK81t9Ptn5MuuhohwOORpPrIMpBK4hOKLPcrIVcl68zqhVIN6W9Sd9jTePKd/eTs+hFcNMUWfnziY1W+e1dszJtSFcPWdPMeF4vUomBVlPshnrPLeZ8R+XXud31n6TA14F52sSHlfQTtTFcrIA53o+Ya5RtyRH6xaaCa04oWAIHB22YoN3TrQ421EH9sHKP+FwRXJ8qMhGbNBwFDHvthEle34xXMBP1LmzEsBWpHwffiJxJyR+mmNpkuVQnW+9JGHUTthXhtuHW9sL0ZwwVx6MTizp5SGr+iI6Bp/v/DqzJcEzmzozBZXF9NByzM6iQzeRVC2NjcgkB/qJwUyly4kW/PGViDFXNZ2OlkNe61qM1vqUxIj63KQi8A05Bi/JZ1kewJGay9GaYNLTCDONXiqYLfr0fZs9xQG6UAHUsyWLB1d1VgaZMuR7Me+YXmWQalwKulQt5VFpUGHS87nTfBvrQUZ1e63clSGunlG0Y3aXYKYIE25KnmuKypaqzUHJhKKliF5xpqieZaFiKFb7RdYjnZ36EH6Ss6Oo82JL0fcsHWa9hEs9lQena+o7u3v/AromKZkpl/pFigashzGjBRNH0+nGkpUAqha8fbzHVEHyes/iPyw/zFaUcGioycOtVeYDk4qtsaeYsqfk4RqCFX0Ra4+HKeD2oYCalfFq2+egdS+uIVjyc+q2pJYPMeNZHKwaPLRmUrcSMqmu19OeoJMYXPIDbqz1SUONI1XJfF81PZYGbKOmlX/r88t9vnpZSceiTH2fjq5hapKFAQzZCdNFg2E7xzVStsKMkUJAyQQpBVuR8vOVTUFB1zkrnyJIVX7TbMlknuVvan33f1dd9dx8a/VNbW527tzJ9ddfz8WLF7/u+Y2NDWZnZ/9eDuz/yVXVLd5fuoubzHcx7OqcFRfp5wmOZlA1LV4JP8e449KNc15J5jA1jbIscnHQ5TrtPsblECVTY2kQUTFM3lpS2OqarVOz1QZiwo2pWRn/69S78XSTsqbM4Pp2Kvo9oxntJGGQZVzaRqgsth9jrh9yhP1oAsbcgB2eZNRJsDTVdb2ruItLYYeNCE7FyzyfnaBia9wxarO55nGqrdGO1fsMUsla30MzoZcqc66r5yydL6MbOTJVC/UlcZ7H1gJWBlAycu4dbTPXD1VyvB+jC8G5fIHL/YCtMOVgecDplmS+U8YzVbbChX4BSxPIQcKukqBm6xgaTLkFypbOC90tNgcFXu03aSbKXLscmvSyWAX2bXtcslywmG9iCvjQ0E8TZWBokhvFnYDqKM+nLS756k616Kd8uP79CASHywH3lfYCcKkbE2aSupWxOpBshA4zYgQpoWAI8lyQdRJycqaKqpu02/M410l4aj1Ri3k957LvsKzW+DQjSWu7U6prEkNTnfhemjDmhIwXVH7KVMFhsL0p3hy4jDiwEenoQjDkGky4KScGGwzZqkvZHTiUDElGRs0SDI/1aeQNKpbBsVqPxYHglbbD670+f9r5FJa0KZuSiyt1hekuwF7jdhZ9uLf4g+RSYYw/s7bBUNnn1WbIjdZeXlsc5mwHCobkjlEL1xBUTQtDy9kMM56O/4IhR+F84xyGLZchR6GRxwsWBc3kbKvKyEiXsgl/2nmKiplhayonYdgbIKUKPBx3Yb1VREoI84zVQLIRBxQNQWuzgKVB3UqZLuoc1+/jZMfmk+0/oaN1aEeSef8ZLvcS9hQzFv0Ew1DZzgVdsrckGbLhq51f568uTCEl3DOa0BFdkm3YhZ+qbJgwMtmINY43YsYdFynhUNXmcr9A1UxxnYS7zXsZpJIF3+X1rqBiqvPxXLoCwOs95dPwU7WYLhk5L7WKtBOTznbg7QleZL81ysSeLp4pWAh04qagoEsutKpczFfpRDkHnCGW/ZwbaxE31ULmfMEgy9iMNUwBT21ofLrzf3K9uIVWPiCXcGphlKolWAosLE1yoNJlxoO3jEZULcHeSpelRE14xwsaNTtkupDza3NrXOmlapLZd/jfL2zi6PC+3Ytc7GYsDHT8ROHfcwl1N2CyYLKzEHGoZoFtcLItON+J6caqw/7ya+O4uiDzYTlr0+y7jLgm3Tinm6iE8pqlgCHRuuCJdcnFvmoKjJT7BKnE0TNuqft8dPin+ci+ZRIpcXXVzf/qyggr7RJzvuBrrZBZL+Sp1hZPBudY63s83WxTtdViXRdwKtjA0dVCEmA3N3CqHRBkgv+8/mlaUcodo4KyJdhRMhh3Ld7sXkeQZhyuKixtYVJyw/g6rRWXoik411E0K2dSsKcsuL5hMuoG9FMdU6j0+m4sCbc0HlpOuW1E4zf27+THxn+cOJdsRirBXq+Y6AJaZwzG3YzjQ0UOVjvM+4qquXKpzF+2/j2WDq0oZ8xJ+PJqjTDL+bX5j6vgZjtV/r5QwU5MTaF+TQ3G5LCirBV1ZouSk8kCjlBeB5lJjtZ0/uv8Jn6qiJQN22I1tBh3UlwzZWmQ0EsNapbyYJzr+UQi5ph2gHGtyt2lH2NHIecdEyFLoYFrwM8eiuklOWVTdevnfI2GLfAzHSFUg+aDMzYvbQXkqEn4a+2Ms6sNpuQ0JTOhbMGhqradI1WgbAmOVVMKeo6rw8ttA1uTzIy2mdjT5eCOdZ7canPD2AZBKjlUFYRZxrAtKRkphpFzoNLnleSLrAYqDuCceI3z3RLNbMCIq3OlD+thxLq+RNHIsMwMT8+pmjmunnF6vQHA+Z7H/eNNugnMeLC3YvLlwas0bJPDFZfX2gGPrhdxNMl4weBcssbKIKdgQJZD2YTDtTYrg4zTHY0gzVgNErwZSS82sbSMzy1obEbQy0OaYcqIY7IeqM90daAQ8e1YsLeY8G933kXDNhma7PNPxsc4Vu1TMuGyb/CkP8dKEPPmwkEANiKY8AbMD3RuGy6iIajbanI678OoUUTXYNzJqVqwGZkkuWA9VJOer5WjZ3zp9A6KukK/X+jGzBRh1lNri/VQ44Z6kWE75tmtHkGqJt1/vPGvKRkZO7fp7SMOvGffAmmu0XB0Xm3WWA/V/XdtkOHoEkeXFE2N68Td5Ehez+dIctgtvr0tB/9YJjd33303P/VTP/X3/rrftCzt4MGD3HzzzTz00ENf97y8Go+KpWt4BgxEwCCVBLLDjoKLo2u0k5g73Q8BcC7e5EZ7VpFSRJfHOr/GddUiFVPdsCSSpaRHxTSJc0k/yTmxlXK+b5HkahLywmbGiGtgaRrHRxRRbLaoLvgjjoWfpewoqdc7Xv4Rhh2LHGVqF0IZjF/rWhytd9CART9m3CixFUpW5TnuL1yPn0im3IxO6FCzIUgVdWbOHxCmOqdeHWF/US1QZss9/sULdTaaRdJY45pqxhF5jJ/cpxHlYGuSyUYHW9P5i96DXGIRz9QoyhJ7yy6uobGj3mbS0zjbK/Df1j/BuV7AqJ2wvyI58fkKX1rps6MoWPZTomxbCoPNxZ7HfrfOC5vZG4nxq9oKc3GbC92UWxoJzzXLjIsGmVSTLYAZN1HUNVulfN9UGqZs5myEDk+kT2LpAkODHeUuxxsps17ArrLFREGnYcXMltTFpGqpNOQTvRaV8RByuN6eYX3gMmtX8EyVCr67bFKz1EW/aOT0EzUdAWjYig53dqvGtTWYzHYw4tjsG9vC0ODR9SphJnkiPklHBjy8XuJzy23uGm0RpJIRR7Ae6ew2G4w6OSOuxm+eHWI11Ji2S2xGkstX6pyWT3Ap7HCp7zHfz7jQk6xqK1SsKabNCosDtZi7pT7AT2HWbLA0iBlzFNlvqqhz/9AIui7ZV3GUDCRUk6LLPUnFzLF09fv2IovdZYOPNj6KqcGr8gyXezGurlDGkwXoRBmtfMDjmxYbGyXCTPC+4m2MuxGmJhh2NDShcLbNSOXzfH6pgaNrPBn9BUGas7PgEeeS+VaZPV7EWmTi6IJBnjDm5LzD+yCbzLMeJmR5SNnSqVopjq5xfrXB3MBgb6nPTi/G1iTvqf9zTnU0DlUlvVTnXPxVCkbGTFFtMsumwnwPWzn3Hl5gytNJM51MSl7rmkgEK1slklwR7DQBEy48tj5gPZRoUqOgK1N9K1YbmzPtkJKRc211QD/VKGgGaS6pMkHD1hlsGlzuhZxsZmimpJMIzvYc9hnjLEY+QZZzfERw3cQ6O8s91oOcfh4TZnDbUJ/vne3z5sJ34xo6h7wqQSZxDRUaOcjUeVx2Ii72oGrFrAaSiR1txo0SnTilZkn8xORiX/BrR0ocHzHIpaAVCz40PsGJrZzycMjtIwLXgCf9eR5a1ZguBPQjix1FqNoxM4Wc/ssRR6uSEdeklYVczteYKPUpmZKFc1Wu9YYIUoOKpTIrJgsWcwOfuV7KeEEnzwSagAudRKFx2yUmCrAwUMCYYVcgc5Ul5OiSl5tgCsmlvoerCywNxmyXkpkwrJWo5yNYes6dQzUE0E40dCHYYzVIcnUOvGPS47n+H3JtzSXMJD8x+n4ucIWaldGNJQ0LVoIYSxeMuiZroeDBzjzGLiWTbvsuL7Q6zJYsTA3ClZy6ldNJ4EKvyNmeyWZssL8i2FWSNLc8RlyDuplxdHId14DHoxPquIoByXJM3cx5bXkYU0jVtBrqUrOVvOzJ1WFuqP4QpgZnwk3qVszbJ5qMuSYfaPyv/NXgi0gEAripHjFs5fx57/MkEsIMCppB1TLoxJKamfOe+iyaUGjgF54axxDwlsYojib5g7VLTHoayfYS4FSzhobgbM+goOfUiwHX1jxOxw+RSsmcXGWX5xHmgjE34P9cnWMjFMw22vhpxqVuRpSpgMc4l5zpmghNsquoyHzX1B08A9ZCk0lP53NLHqOWQ82JOFDKCTK1gT2mXcNqIDk+tsGUG6MJ2AgkG5FGGJikvsAq51Q0l0IhZmmg/l4Kuk4vFVz2HUwzo+aEfLDyT7jQ87m+4bBHHmQpMNnrldm5naP2Ck+TyohWbCCEZD1S5MNeovOFFYdn1lP2lnyqXsCtjYClAZxoBdzjHGU5DOklklHHIcgEk27CZpix2xhhT1mw6MO5nqKOem5E2dLoxpKNvIcuBHnwtcwqkz0VHUtTRLOX89fRNYGhCTqxpG4Lntoq0UnA0XP8VOU+paFGlsNo0admQS8RvKW8k9miTQ4ITzX8DD3DVXt/EhL8VDJTSElyOC0vsNhPSSS8e6JHO9GJc42SKRhk6v6vITjTLXK41mFPaUCYZ1iaxtmOZH6g8exGwi31kEEK1x9aZpenPtwHen/IdzZ+ThFKNcl4YcBmBHGs8/SW2u24eqby2yoxu8oGfqpy7L4weILH/N+jahnsFzu50A35y9Z//Htd9/1917fL5OZHf/RHEULwq7/6q1/3fBRF/LN/9s8YGhrC8zze8573sLi4+C2/3913340QioaraRqjo6N88IMf5MqVK9/Q63xTmxshBL/5m7/Jz//8z/POd76TX/u1X/u6f/vHXlVLcdbXxSLrQcLN2o0K62nrlE2L6YJaDG6KJUrb3alc5Lyp8hMYGriGpsb+usHRUo1zieqQ1h2dr6YP000El3yL8z2D+8YFi37MRupjarDgw5SbcbqjE2Y5b51w2Qxyeonkef+PSHLJ7pLFPeMbnOuWmXRjTjYzRhs9bhvqs5712FU2KBiCsjZO3VZ+ilEnpuKEnGymlExBO5Y0LIcg0znRLjFT7HNdw8A2Uz5+rMOZVpXAN9GAozWXipUQZZJWohFGJvurJke4lQPaDLmEUa2y7UNQ/dRxN2fITvmJ8e9hQSyiC8mOQoyGZGfBo24pPOtmEhFlkicGn+DXLzeZKSqCz9lOxGYkeHtlL9NmhXdNSqpmwrFqn3HXoh1n3DRsMOwKqlbMWD5KO1JY5Yol+N/mn8EzUu4wb2e+H9JLcoLEpGDkzNQUbvqrW03Gi/4bHifP0Kjbgopw8TcshCWY8nQ+ecXlwehh1RGsWWS5WujO+ToCSZJLbB2+OHiCIFVa6iEnZCkQHCiV6MYZ8xtVjO3w0rPRJteJQ9iY3FQL+chMhZnplvrOTMmlnjqnwlydhx+7dpl2LOkmKQUdqoWQ9xbfxrhRwtUzqpaiyUzKSe61j1MwdDIJx96yhZ8avNbKibOc2ZKFLgRpLpkpSMqm3MZdZ7iGokuVLYULrWz7MRbyLTZDhwk3Z6oAAsH7K9cw41lIJBe6EX4Kz6SvcMirclM95TPzSp4476upxe6yybluxKnNBmOuRZKr33HUzsmk5P3lDzPlqZDNTiwZ9QYMOyEPLGSc7yipy6wXYgrBUXk9BV2n4e2nYWt0EjXxOtMtUDIkca70/MO2CpSrWcrX8Svz8xwx30KSCy50IyqWkmBtDAoUjByzmFMwJK2+y4mWkqSd6pj0E4tTnMVPJKc6JlVLcs9ogcL24iDOlcRs2BFkOWT89zvTwXKfL/R+l2YSE4o+mYTTCyPMlhwq25OFtQD2l0JmSzqhCHkpO4MhwPVikkzlS9jCoJuoc65gpGQyp5vEuIZgd1EyWe2yGSrCW5gJ5jsqM2Vh4NKPc5KBzoGqiampoNMT7SK6gIYbUtAl++stbqiFXFsJEELp5EtGxsUe3OrN8KYRia5JznSLaEL5D3Qh+YtXZlkLBRf8Pj3R41p7kp33hAxbOZ4b4SeS8UqfzVBdEyqW4Jx4mcW4x7Kf4QznfMd0yknOcNbv8FyzTEGXPLIGQabzfLPHWt8jynL6KdwzmvOFZYVbLpmSgqHkgac7RTxDpywcRis9yqbk9hElt+oniqLlpxndRGPCSbm39MOUTDhcVl6Jm+zdDFKNIJVEORys2vz+5icYcTU2Q3hHbQf5ms+X5iaoFELuGalSs+BgOeOZU6p7/Kn2c9w9u8SYk79B3eomasqqMklMND1nM5TslQfwDIlE0Fmw2OGFbEQWti6Z7+doumTazVkNYKcX8F1jE4rA6Q6ja5K5XpF2nPFU+hg7tGN0EpUjM+qECCE5LG7H1aFowmPJXzG0HdzaTzUcXcnKmknMqOfTS5Uk6Uwn5121Xcz3M8achMu+wbNbJuMFg79a3+D1rkbbdxl34TrzbbTTiPsqM8rjEQtyBDfYO7hzeEC5HtKwDW4c0vhU97PsKsFmKLm5HtAdOFRNFZarCyV3mh/oeIaSYxctDddMSKQi+hV0RRYLt7PPklxh+w1NnYPLnRKfeGE37WWHXh5ybnmIROZ8aNcKdUdn3oeHViQb7SKD2GSioDFsOawMcjZFE8/IMTSBZ+TsKUkcUQFgNTQpViJONDNOtHVeaBpULcHtowZDhYC5ZgVdKIKppxv4aU7dtNlRVI20MSdnfVuOZ2lqg3T7cEzdtBhzoTtwcA3B/opgxqryej7H6rkivVTn2abyLnViSdWSTGTTrA0SJj0VgF22BI+tquwqDYV2H3EFL10Y57G1ANdJ1LnnqM+sZgs6UYZMMsJs22daDtEE7LdGWQ9yWrHOgbLken0fNVsnzgXXHFzF1XPKpsrucnS4MjAxhcbH50/TCm1cI+Wx6NMMuQY7i2p67egat+1fZNgRaKbKxKrZgnvdD7GW9rnsG5zuCFxTecROrQ0xZmdkEobsCEsTaLr63UH5qe53b+dY8YOEmWTKMzE1jbdU/n9/f4u+f4D6dqClfeYzn+HZZ59lYuKvk+V+6qd+ik9/+tN88pOf5IknnqDf7/Oud72LLPvWEds//MM/zMrKCktLS3z2s59lYWGBj3zkI9/Qa3xTm5uvTWd++qd/mk9/+tP8q3/1r/in//Sf/o0+nH+MZWhKr/6+8jHGCya6Jni17SvNv646KGGWc712lEU/oZkNuMGdZIdd5lI3pRWlJFKykfq83uthSZtnsqc5WJF8f/1+9hYzlgdQsSSDTMPQBHu9Mhe6akzbjDUmC2oR4WiSL0cPcjZocrj0XlpxjKXDyKjKwqnZMdfWdTZbnpr62FUyCZ4J49kU3URiaxpDTkCQmDyfnWArUkjMhq3zasdhzEm2wwQVMnfPjW2VHdIv8HrPQBeCohnTjFKWBhpt3yHJVdd0yDUYL2gMOybzA5Whs94t8pXlhIYV4xlw1NjFamjRS3T+6EqNJ6PXAThYFUw6Ln/W+XPuLHyEQ+4QniHZXczp5AF1S3lGmknEY+sq5dtPDdaChIWohymUlnczsqibNg1Hx9EFcS75/PX7eXDN4083/g11y2I57nGqVeaVts1Kp8jlXsasXWHn/jbtGK4MbCqWwDPA1nROLo2geQab23r/o+I2XEP9+4gD/SRjI8z50orBShCzEUjeU7yDV9s+11Z8ClbCo80NnvbnSWTOR08t000ks17ArNlAE2AKHUfP2IqVbyLOJSdbOWEGe8oGP3/xtyiZMHEsYNlPWJZN9pQkw9N9FgYhK2mPu/cvYGjwXxY/zoTj4OhKXjPugn7tJK91LS5HHXIky746N/9441+zpxjRTQRL7RJbcUgm4aaDy8x4yjuiMl4ybiuPUTBSmrEglYJmlLOnKKls69YdTeextQBD2PhpjiFy9pfUOTpZsHil7XGxm3DjkEMzNghT1Z3OgdVQ495xna0opmZJEqlucJkUbIQONwyZvJSdY2/R47ENj3aSKO9ESee4dgdLgwxXl/STjFE7xTMkrdjkqxsWvVRjtmhz36gKVnRlgd12jRdaDg1bTW6G7Ywz3QJpDhfPNPjs+iq6pkAh90+tqXMvsijKKmVLMOHmONtY06VBxow2TCBTlgKdw+WYh/rncTSdtcjgbM+l4kT86NiPYgqNY9oBHvfnWAoc/qj1F4y7YA4JXum2ma10aUWSm8vDTGTTfHYhZH29zKWeku3NFl3OdmIu9Ao8sl7jvHaeGc9hrhcz5iSU6yGrYcQuL8FP4bENj0PlmMXAIEfy8uVxutvt+E6spJhBCusDl48vPsLUkR4lI6Vuq25y7OvMDQxuqGfoAgTwwFKFhYHOoq82P3EuOFRR8pfbh8rcUpygYAi063fSTjSSRGctDnEdlelz2R8ggZv140zbJYZdnWBNw9EzSrLO4VKVkpHziYU2YaZkN8cbJQyhFsK9BKpWyv9ysMdsMcAzJIMUSqaankZ5jqsbjN2lwhLDTCMHnu2tc7rbo2GbzPlqgT/tuuRSdb1f2Ay5tq5xoa8aBHGuZIfvLH4IR5e0ohyJpH1KsB5pZJmGZ0i6iZKSgjLj/8DQzVR3xwSZ4HeWlW91dVuuel0t50Ap4cziMA1HMF1w0AV8edVjvVVCoEAYVwYmmZR02y5zAyX9/G8XXBwdmmFO0RT4icF8YDLi6sxyjAPWCMN2ypKfsxy4zA90rilXeK0tsTTB+4rvxdIUtON0R8EUDpcqFDSDk1s1/FRlll1b197o5ttazn9Ze5HNUPJKt80dtWHuGI7547kGYQYmBkv6AmMurAwSeomgFdnUbUHJTFhaqtBPctZCwVucd3O4HFI2BbOVLt3YwtJy5gYWv7P1EGsDFarZjCS7y4KVQcyfXR5jztfZVbIZciDOJVOexpMrI7QSHUdT0qcwEyz4Lp6R89X5cSbtIn86X+SmRoGhyT4XegFnugPqjs7qwKVox3QTFa5atgTX2pO8dccKzTClGatMrDe71+NRo25lpLHGa+kCJRP2lyUfml2nbOaUiyGD1GDU8xkvaJzLFzA1JYNbD1UA55iT8nIT9pYN7h2HpUBQ0HPW4oAkh4VekcV+yktbGZ6hoaHzSyfHOdczaEaSd020mPNDznYks26ZKM8QwLF6ztl2yl+2/j1DjkYiBa6uFBxhpvPeaYdnFscQwLQbc7oTcKIZ8UJ2hvRSj2aYsT5wGXUD2rGawiS5xNQkq6HG7rKSLO4vRrgHHU60lMwyzAV+Irmx3mPMtTgkD6jMrmaZ9xa/i26c8cqWAmcMOTq6qSb0rSUXz1BTyIcGf8ROp8xWBCOOoBkomEeSa5TMjFFXw09NLvdSFuarVM0cCTy41uNUsMHx8gjLcY+1ICXJcwby6nr1f1RLS0v8xE/8BJ/4xCe+LhcSoNPp8Nu//dv88i//Mvfddx/Hjh3jD//wDzl58iQPPvjg3/qavu/zvd/7vRSLRcbHx/nlX/7lv/HnCoUCY2NjjI+Pc/z4cX78x3+cl1566Rs6/m+Zlvb2t7+dp556ikcffZR3vetd3+rL/b+iLvUSHl7vkEo1ySqZGs8mDwBQNJX2/dn8ORqOzqGahbYtC9BQvpWypZPkOSXhcLxR4mChzj8dvpMdBWWc3ukF1Gw4Vg14fDVlpmhyarCJrqkQrzMdQTdRF4mqmTGq7WNFu4ghDdpywCCFTsvlC8safmKw00v5L2eHlZ8gl5RNcHWBgcaynzDqGvQTi10HmtxfuJ4hR8PSlJn09qEet+xc4aWtKkEG7cgiG0iODW0xXO3z8OYmi77qcJZMHUeXVL2QZT/DMwWne21GHBVMt6W1eDp5hYu9IiXDYKrc41wnZ7Kgc9Nwk4XAYHdRck/hIJ6u5Bw7Sxq3mu/krHaCGxuwHqqblolBxcwJU5WRogymMXU7omjqXFeu8sRaylwvJpUa00UDIQSeqTxLs3ua3D/m8wPj/5JemmJj8lrXJMwkK4HDahQyyDKkhJOtgOc2VV5HkguGHIP9w1sgldfgA1P9NxZErQiG7Jwpz2DOD7ltWLIpu8wFfTIp8QkZ8waU3IgRUeE6e4px1+IXZ/fQjjI2IptRV1fTC+0ir3VdLvUkyxtlPAMatsa+sjqWOwvfw1YkyPycN08YlKXKMAo7Bq+JlzlaqmG4OSMOfPn4z2Jpgq8OzhHnijTGRpfbhvoM6R7NbMB6EnBJrvCv9/8Ca6GFqSlYQNmw+NP2H1HYr8LqbE2Q5ILVuE8ryhn1BqyHUDUlfiLppYJznYStMKVs6VxfL1DLR3B0jalCwGakCPVxLqkYOWMFgxNbMW/escyeis56kDJbhN3FhCu+xsGqw0whpaW1AVjpe3xm0WJPMeU+7yBPDi5z17DPK/I5JgsmRQP2VExGXZ3NSKdiGdy6a4kwE9haTpbDnmLIsXrO0X1rdBLB7ZURFqIeh8sq+yPMci77BmEmiHONZzer3Fsbo1H2mfFsZm5RAX5Hh7c40fkk3VjyxDpsxhpDjkaWS57Pn6Gkm/RTwXJocr25m9e5SCsW6jNqV0gkjLsWrTRmNB/mndfM8YNDH2CXl2FMFznPCwSJyVODKwSpZEG7xJGay2K/yBeWTfZXDSwNbh+1eGQNjlUHHOUg3TjH0tTl390hOFxxKRkZywPJ5Z7E1nK1qLR01kOTK/2YVhrjGmyH2+Z4Zso7C/eABlU74nSnRNkUpLGOnwrCTOM3Fj7OiZbGpJtzcz3A1gVz/QLdRHDDW7eYclMe3FqnbMHFfgDNLhuRIMl0CppBngv2lA2GLYfHWxucyxfYiCM8Q5ClGp3EYK8+xulem61Y522jNd47JUlytdgeKfssZi0sDV5q2ZTsmJqj8lSkhKVBhqXlbKUD6raBVnHYUdR5Yl2y24vYbw+xv1ikZgtGHPjYpc/wTHhh27Qu6OcxZSPn/rEen/M/i6VJwkxQNjXWA7hpWCPO1IauoEO5GnCxp3wtayEcHNkilbC/lKJ5OqNOxgeHZ5hwMo5Wc9JYw9FyMil4rllEAH/S/hOSHFKpPBZnewVumF7lz5daOLpgoVPC0iQ31HN+bN+A5zdyDtU0HuvN81K7wHfsW+BCN+KaYp2ipfHFFYtBmqELSZQJNkM1wV70lbR0czs4tBtLGrbyISUyZ6IQ4ieSqq0mKJ0YHF3jN87p3KBdy0oQcrhURRdQt2K+b/c6L24mTDoFjoq9bIRQt01eb8fM+TajLjy0VuZXTg9h6YJMSmZLOlGuEWaKwnfFd0mkglBcx63UbJ23TaTsK0u+b/8S+yoW339EyVeuqeaYGvxR+2Febyf8p7kN2onO6a7KGRpzJRuRwS3DTW4e3WRXyeB4I6VuS9YXS8yLed407LEySKhaMbkUypxuwGxREmQ5jpugC4Gtsd0sFOxkkrqVML9W41pzBgFKllceMOfr6EbO4dFNaqWAXiJpyyX2lDXGCxaXehFjrkWcaxRNQT+VlIyMqYJkT63NgVIRU4O6reS6o66SUp9qfYI4k9xSVz65MDMYdxx2lwRxnhPKdHuinmFogrdWf5YjlZROorMeapxq5dh6zqW+4EC1w1RBwVVMoWEKjTvsw3zuKzs4Wtc52ytgmymWBuOehqVp7CiEKsPNlPS2ARQkGXVbNf7CTDUjy3ZMLuEH90AzNni1peAzsyWD4yMGNUvR006eG+XlTpteYFMx4VPdL/P/GfsBRlw1ZewnkhdbSurZ2/apPbvZZ6LY51BVRxcSP9W40El482iJI+4w2v9loCGRlDX3H3Yh+C2W/BYewBuxJ197fCPDhzzP+ehHP8rHPvYxDh8+/Nf+/cUXXyRJEu6///43npuYmODIkSM89dRTf+vrfuxjH+ORRx7h05/+NF/+8pd59NFHefHFF/+Hx9JsNvnUpz7FLbfc8nc+fvgmNzd33XUXlvXfMXqHDh3i2WefpVarXfXcXK2rdbWu1tW6Wlfral2tq/VNluSbk6R9DSgwPT1NpVJ54/Fv/s2/+Tu/97/7d/8OwzD4yZ/8yb/x31dXV7Esi1qt9nXPj46Osrq6+jf+n36/z2//9m/zS7/0S7zlLW/h6NGj/P7v//7fKGP7zd/8TYrFIp7n0Wg0OHv2LL/zO7/zdz5++AY3N1/bAX72s59F07Sv2xWapskDDzxAu93+hg7g/421s2RyrFrBEAr3eNbvsN+6m2B7hJ8DBjbrQUorktT1AqamfBJ7yhojrsaZ/BItqShbSS63We06W5HCAu8sZKS54GK+ytog4576CLmEMSclziVPr4dMFqBkZtzh7eRW4waOOGPMWFVMDVa7Ra4EvpK/mCkf2dnB0jLKlk7JVJ37gmbScAzGC/AXC0WCLYOVQcJsUTJdyLkS+MS5TnV/xumuxnogOd93OfvqEFMHuxRHYm6qNFgJAxb6HiOuxnQhx3UShl1FyRrSPaSEy72Ye8pTfKh2IyUj5d5xMIycP976DaIc4lTnwdUB90+t0rAFVwY6Ua7kTw/5v8dtxi1oQplgAe4fK7IS6pRMwZCjOm69xGQjdDjW0JkpwmhBYUJH7IiSKXi910MgmO8nZJGg4YScH3QwhYanm4y5OboQzA8sjtUK3Dhk0l5S2UB7yoK6pVLPg1Sy0i6R9zNuaMCoN6BoCuZ6sZLebB/nLUMFpf/H43C5hKUJrinWaYU2bd+lZhssBQElU3Dr1CoNR6eT6Ni6opUdYh/ne4KdRcGS7+HoqkMcZip3Y8x2+HdXfo0rJ6tUjJwjlSIbkcbvnpjFT9epWYK1hTIvbSU4esaIq/H28n6aYcq8D/2n2yS5hoZgwipxqFRivz5B1ZQ8uSFwdfW99LKE76h8mKyV0o5VR/nKwGDMKhJlOXGm8327FF66l6YEmUp3P1SzaDhKrvVa9BWSXOKnJjfUOxhCUDAEw3ZCJhU6fORQyKlmovJXrJRdJeV3cnVBmsNubQxDEywHNjcPSdqJTtkUHHdnEUjeZN62TYKCiqk8KGNOQpznuNUUPxM8veWSSdg7vEWcC2Suunx3jsRcW1F/0+uBgnicbacsBxpCSM50FJlpvV1kxgMZSUZdjdrwgHdXfxI/zXnXpJLNTbo5zTRkWh7iS4NPAuo789OM8WyKETtnfzHmMwsmL/RXWRyESt+vm3gHdA6WcybcCNkJ+aGhtxBnGt8xpCiV12tHGXHgmS2X+8dTDpdjLnRDdAHfOZPQcEIuyRUeih+iaOr4qQ45XFvLWA0tKpbgbNBk2AlJpeBCz+feXUvULJPdxQKfbD9DP9XxtlntFUvw8tOjSCnopRq2riYi60HOnmLAdzZ+jn1lJVsZ9xTl45W2QdmU6FNlPD3jw5PDOLpg3HFof26DmULO6LgySVemIjXBsxXAopE32FFw6cSSPNNYCEyGHIPDJSVD6SUwyDQGmUqtn29VMKWJsy2ZutwpY+kZr3fV9bZqacwPLCqay6irEZ5oM2RLbmhoNOyImq26/HGmfBA/PvodgJpqaAKmbI9WorEW2lyn3YefwslWxKircaEXcKUPpzsB/b7NXSMtzEJGM0zZCiVTBYWsfWpDo2KmBJdzklxdR872VAaUbkqWQ4OpQsRmpLqy39/4ECuBOu8P717H0XPSVGPUKBJmkr2jTUxNSZJrTsjpZJmqKbnZnaZq5pRGI+ZYQhcCXcCtQxk7Swa6kOwqZtRsnVac8Gx0jtd7PU72WqwFOdfUBX4Kr/cGZDLH1HJmioJJV02itqKchSDge3cJrm0YvG/aYbYIdw+HeGaKEJIdJZOypdFMQ060AkZcwR1jJouBTt3KWQlU3pNraBwq52yFkhNtixzo+C7ThYD5gc7ZTsyM57CnLGhYMeuh+jtcHeRYTsqFbspLTY0og1v1O7h+SE2ubU1lv907btFN4LbhFqNjXUYm+sS55N5dS3QTwdOrw8zKHRwux9Rtg2Zkc7pZJc6VnNHRJLtKBueXGxRNjc8t9dU9KYP9FZtxb8DhGzfYWdKZLqip2Ea7yHooWdsqMQgtmt0Cy37Km8zb2AjVRGxXycbQBINMcKmbsB5kvNY1MYU6VyYK6t7sWQmZlFzqRUx7gh8c/3m+b5daL0y6OX98pUjDUUCFkqlxpFLkfCehaiYshD63DaupxZeWwdIUqGV3rc2ynzN7oEWUC57flNw+ouTauoB79i4y5uSYAjqhjS7EGxLrdmIyWWAbIS/5/Us6MleEtHYiqJoSS5PEqc5sSbC73EMXioDmGYqGOWTllAzVHP83py0+PF2hFTic68I73LcQZvBcq41nCOq2+g4E8Nb980S5IEcqX5SbU6sM+OpaQiJzNkJ1rT/TCUhEwuGawbjrULW+vTPs82/hAbCwsECn03nj8XM/93N/7T0+8YlPUCwW33g8/vjjvPjii/yn//Sf+L3f+71v2EMvpfxb/8/FixeJ45hbb731jefq9Tr79+//az/7Pd/zPbzyyiucOHGCJ554gj179nD//ffT6/X+zsfyDW1uqtUqtVrtf/r4x14Ni23TMfzS3P/OqFFknzXMcjTgSi+hYQvuL1yvcKioUf6oqy4SYSY4244ZzyeRImd1IBkvaHypf4bHNwyu9CO+uFpgbqDjZzqHzQnKlkYnljg6dBKdI1XBLcMOc74yz7oGDLs63TijYev0E0nBSLlzuMzFvuBC32YrsjnT9cglbEWCIJO08gFRpozjQsAfvjpLxTJYDZRUoqY7nOmqi+S+ktK2X1vtcalfJAsgC9RCfllbZjGwqJjbOueNCst+iiEEI67BnA+L+SZLgwxbhyOjmzhazuVmlQOld6ILFUz3w7stqvUBvUTx+mtmTpQJbi18N0OOznW1HlEm2V8KKZqSK31YGaTM93NOdgb83Jk+f7Fgs02FxtbgOyt3kEqNoiHZX1TElYZtcOrCKDPTLY7Xq4y4ihi0x4tY8nOasWDRz1gNIAhNSqZkwvna8wlPJSc4ev06WlEnlXChXVHyLNdEAi83NSXB2a47RwqUTcF4QaF2X2iWmOsVyXJY0ha52Isp1SJ0IbhpqMW4CytJH8/Q+V+uWcbWYbrok+RqwaNrsBYPGHY0fmH2n5EDJzs6V/oxK4Oce0ba/OTY+8mk5Eq3zO2jJn8yX+RCN6VsCeqOwR3DKSdfH+Oy77C/ajLk6Di62rh0E0EnznhlSyGrD5QKnAtazL9c4ko/Y76fsctLmCnqFAydJ9frlO2ILy0nNGyTTKqNy3w/Y8lXeTFvsj9A2dK42HeIcp2L3ZQ0hwPDTQ6UFXQh3pJspgEjrkndSinbEUkOQSZ5oWkwXjBohgogMOXGlIycfiIxNMFGZFE2NVKpFk/9VIWS2prC216+UMfS4L7RHkOOwPUSXu8Kzl4a5mglY2ex/wZOXBcCS4frGjp3DavvsR1LtiLJxFCXVMILT4yyt5gxN1/jUNVmf0XH2ZZSdhPBgVIRA519zj1MuDkFXTJdNJl2PFZDjaPDW/zYvh67zWF2lVyusSfQEMSLCuu+GtqEcwlVS9KJLdJchRCWLZ2qmXOkEnPDyCZJLmjSY94HV8+Z6xXZJca53biHZpTQTjSeeXiUdqKTA6+1I/7FvhK6kCwFFgfLHuXJGImkH+fcY99MOzaQUlJxQmqWoistDgpowFYoWdkqc7Aq8MyUA1WTsplzqOxTKw5oRjkHy8p0nl5qk0hBych5ZL1NM0p46PUZ2okg8g1W0i7CgM+1zlOzBJuhagTpQvkadSPnck+FNTZswUwhohVJbE3yXNPE0iSd2KSmFVgPFKjjbN/B0HP8RIXoFrc9NztLFld6GQ8+vYPVUAUyDlKDjSCjZhvUbEE30ZjrZeyQU8Tbvp49FZ3VAE52LG6sF1kLcvaULVIp0YWGn0oVADrtUy2ECAFRntNNcq6t+AzvHfDOiYRcCj73yizNWOV4/HnzdRYGGpFvcKoleXKzwNvGfDYCSTdRWOBdXkbpTUVe7xo8uzTGwarFbEmnfjCmGamFbTeyOGiO83pXcMuQohgmfY17irvIpOTF3gYbkU5ru2lWMTNmPIUzX01Oc7Rc4i0jdWaLgq1I0IokS2IJTzfZMaZybFIJ11YC3juVEsqYg7U2NUtSMVXumiYk64HDmVaV3UWVJ3Rzo8h0wXkDUjHu5ISZoJ/k3DOqyJuJVJ4oXcCxmuSBhSFMLWdpAO+aUt/JSgDdxGQzlPz5hSlqtsYDp3dyy7DOvjK82kxZzFrsLKhAWdXMkHQS+PzaFkNlnzwTtDdcNAGV6ZheItmIdRJytmKD6+vqOlTQ8zekTYqkB09tlXh5sEbdcKiYkie7y8QZrA0K5CHUbSWPuugb/NVig90ltUnpRRYLvSINR2fEUU24ggG7igoP3Yw1bhtV191H1ntkEj6/OIqpwdIALnbKvHlc55Zhm07MtgcsZS0ymPM1TnU7dGPJS5spvSRnLcjYTAO2YosL4hUOllOWQ51DVZ1uojyaI7N9tuIIa6dNkMJEQd8GHAleGqzw/OVx2olGPxO82i7hGZIsh2YacrJj8dJmwqVuysvJBd47LQjOp8wWVUP3ifWcc10FARikgkpBBSLHuWQziTA1KJspuoCb6gm3j9hUzJyb3rxOnCsAxCP+We4ZrpFL2FdKFZwog8q1gtXQZG/Ro14IyCQ4xYTxgklBV6CDOX/AiG1TwqMTg6WLNxoe364lpfimHwDlcvnrHrZt/7X3eM973sMrr7zyxuPGG2/k8ccfZ319nZmZGQzDwDAMrly5ws/8zM+8kQ05NjZGHMe0Wq2ve7319XVGR0f/lt/n767qqlQq7Nmzhz179vCmN72J3/7t3+b8+fP8yZ/8yd/5Nb6hzc0jjzzCww8/zMMPP8xDDz2Ebdv8wR/8wRvPfe3xj71SKbiu7hDngo/v/ZdMeAbjBZ0b64rKk0t1wejGkikPNpNoO0BM0Iolh2s2ttC5ozbMsKuyB95kH+BKP+JozeHO4UjlRlgJO0s6e8uqC+mnyi/i6pJRRzJbBD9VN666LdhbMfHTnBP+JjPTLZ7fHLDQV4vBN79tiYNln9mSSvheG2RcU67SihMu9ASHKznDdkbDURspU5PcNGzychPWX7X4jqOXGXEFu0Zb3L1vgcdfmeapM1McLEveXtlL0cgZtiW/cOUv+aO5Knsqxrb5G9YGGTcVJ5gs6Dy9McArRVz0DTqJQSNvUDbVjdrTMz53SqGzdxbBM7Y74XaRSz21yBSggsJ6ghFXkefSXHKsVuBHZoZ4+0TCcgB+ql5zd1HyXNPd3gglTBZyxgsay4GDbqlOMMCOok7JTJBIbqxF3DykYwgoehHzPiQSLnRzelnCbea1CAOSNUWdsfWcsYLq7H9xawnXUEF+libZigXrASz6GZYGYSY50xG0Y4OposYxcw9zcpWNVUWomt3TZNjKOFyqUrN1ypWAETtj/61NqpbkM82L7CikXFct8VRng4nt8MYnm+oi1E1ypoY6TLoZcQ437FlWAAkDLiRr+KmkZCqN+FAhoJ9qnG0npNvTw4Ku83JTafIP1TQmx9qMF+CIV+d0s8bFZAM/VeOz8jbpJt/e4O0pW6wEIS9vRQxStWmPM5Xncayucp8AntosY2gKN9sdOAzbGeMFjYsXGiSklE3opgabA5eNMOfJ9gY56lx6KPoCQ3aCLiRlM8UxYKcHpqa6hOk2qW4zlOwpa1SshA+P7ORit0RBzynbMfeN9uh1HcqmwE9Nhu2YuX6RKJc0Y4OVMMAzBLfUfZqxwYid8PPXqYliZZcivD3bLPFn8wmZ1KiYkkk3xxQqEb2XKjrRknaZTeYpGSple1cRoixnp5fhFSMmq11GXX3bZKvxGhd49dVRwlzw83OvYFYVEvWOt63STSRRBkGaI4Adnk+pHPJiy+B4ZZjJAgxSnUlvwIRnMlsyOclJPr8UcnTXGosDBWi4b9zmlulV2rGNISSX+xFRS6NiaTwYPbw9fQ051W+rGynwiYvj7Cj6zPkKxrFjsomnS+JMNQ3O9wx2NNpsdIoMO9obyOLzT1Y42bE4WO6zzytzuGZz69QqSwNY2FDUKc0WfHh4L6mUjLiC6aJJ3VY5VqWdGW8bj7iYr6ALKJoJ75uKybfPPQnMlFQTYKwgGLIykhw2+gX6iULI1yyVh9SKckYLGrfvW+CFLR8/lbQTk7qj4xkacS5ZDaFsaUwVHJ5KTnCyY5FvI8Gvr0XsLkr87dcNMxiyLWxdcEEuoenQHjj4TYtBnmIKQdWOMIZNGnbEw+s2YS44WhlgaZLvG9lPyYQr61UKhuBYNeLQ1Aa2rsz7o44ioYlqgZvqERf65rYnRmIeqDNZyLcbWykzRZ3HevNkUhENH3xthpotGHU19toNLvdhPUwYpBolI0XX4Eo/5W7r3Qw5IJC4BswUlEF7r9iBo2sUp1LaCSwO1DW3aGTsLVTYebDNuJMy5xss+Tn9VCfINCbcgNVQo2AI4gyWB+o+dqicMO4kPLepgDt3719gxNXxU426DcO2ZNYLWRrATKPDR3f2mHJjBCq8MpUw6sK8D3tLkmuqXUbtjLVQ8OetX+O59v9BL9U5PqLjaDnX1uB3N5/j+2bqrLZLbG4WeWFFTQ9lCmuDnB+6+QKTjksqYUchZuyQz55aW2UT6crbCep7NtCp2jo7Cgmj1HEMle/SWbYZpCqW4Ww7Z1cxZcLJ2Llri/Faj2E3VEHWg5QTzZDtvgymBl9a6bOzoG4+758q0U4ER8oDnllPkBJeatvK82jCfD9l0tM4fMMGOwoRe0sZR8oVZoqCu8Z0zsZrHKrq3DNSYjPSOa7fSifReHgloGAoFYCpSbII9pZd0tWIjQiOVhLOdyVhBqPUuX56jZKRc6Q8IJEKCvL0RszhsgLseIbObNngqL6bsply8twonUQttI/UdEwNioWQ5UHGcqfE8Yl17hqFu0YKGEKwEZmshurnR5ycKBfIVDLsaCS5ZFbuIM4lw3ZOJ9EQQMOGbCthwk2Y8gSbvgpB1W0FtNldNhlzEgqaybCj4QqDP2h9gZf661Ttb2+y77c6ufm7VKlUemMTsWfPHlzX5aMf/Sivvvrq1216JiYm+NjHPsaXvvQlAG644QZM0+QrX/nKG6+1srLCqVOnuO222/7G99qzZw+mafLMM8+88Vyr1eLcuXP/0+PUdbUTDYLgf/KT/72+obncXXfd9dfe8Pjx4+zatesbeZmrdbWu1tW6Wlfral2tq3W1rta3UTUaDRqNxtc9Z5omY2Njb0jIKpUKP/RDP8TP/MzP0Gg0qNfr/OzP/ixHjx7lvvvu+xtft1gs8kM/9EN87GMfo9FoMDo6yr/8l/8STfvrM5bBYPCGd2dtbY1f/MVfxHGcrwMY/M/qW6alXa2/Xi9uhfRTyXqgsj4u9SIl1xjk6Bp8snWCz3ZfZN6PFTpUt1gLoJclmALVPTdMBBCmKu+gaAp2FG2aUc7uSlfpSu2Qui3pp4KGLdCA5UDj8TWJp+e8spXxWtfA0oXS6RpQNjUSEoqHDX5in0LpAmgVi6FCwMtbCVULKrbS2V5bd2hFSr7zm5e6DNkqdPHFlknJkNw9mnNiZYTiLoU4TlONynU6U0WfqaJPkKku3aFKl3Yi+A+73smQo3TDEtWVmSrqSClxDaW7n1+uMb09cXj7WIUgk0x7Pq/1bHZ6AS90t4gyCDONUUdl42zRYz1w1NQlNBkvwIFSgmdqfE0C2k01DKHoZhc6GVVLBfm9fbzFuV6ApWmsBCqn5fjkGptLRSYLKtgUVLL0oaqSDEXb7ZHiUEyQqmyKhqMxbNmMuBrdeYVOHLZzBJJ2pEbr3z85jkRNaHYUMh5eVb6RNJe8tJXxl61LJLnkom+wp5hTtnTeVd/Bv311lPECaKbKr1kbJCpXIzAZd2KEpdFPBEeNHWxGOlkOQ6LMVqTx/Ead752p4hk6GtD3bZqxCoAzizm/u3qeEQf2mKP80uVfZJDCSmiy96cVuvUdUzp+IpkparSThJ/cP2B/1WTYzjGdnPUQOnGGBtxSUvKYV9oWmVTyrcu+4MrARhMw7jrsLllEOSz0lXdlX1lhZ59JXmPO13nn1DqrUUjd0dkKHQaZRjuWLPgeP7Cjgi4Ej68bvNou8U/39NjvNLhtKGVlkPAjw+9httzjXN/hyU0bzxCMODklI2XK0znd6/DIepuFQUjJhF5icM9Il9XQxE81olTH1HJOrjcomZKGE3Ku7/B61yLJYYcXstNTmTi2rvTwI27I+P4+DVsiYzW5rZs5d43ZtCKbfioIc8FMucelnsAzJH4qOcQhbjduwdGVJCfMYCHpsBFpvLY4jKYpCU+cKbnhAXYTZgb9RPCByg0AzA8Exp46O4uwEWS4hkZBz6m4IUvrFSW9MgRRBo9tWDSKA5b9hE4suUm/lg/ttKjcr0Ir7xrukUiw3YSX2wV2ekoKublepBPn3Gffy6QLI4WAhuax0vdYD+BHr5vDNlJurCsJjGaoaYjClMORSkKSGDyyXmOQSvxMo5foPLAwxLWVGF0oiVjdloy/y2bYgZXAZb9bJ1hWkqWzbYX73gwz5DYPaLAkcPSM3do4upA8v1WiYiX8yVzCZ9dXaUUwNdFmR0kh3ktGxnfuXuZ9r76iCIg6zHoZM96ApXBAyRRUbnWJSGjYiuY046mpwGutmBPNgF0l1el+S+E67h7u89JWiGeoG6mpSSY8A0tTE4VukjJZAFs6vPTKOI+t15jbqHFLw+NAVWPB9wguJgSZwTXVjKc3BKuhjYbqXDua5MCeDd48llAwMmQu2FMWlA1FAQszHbna5djIFt+1a4XettSOXHKqLdiKNQ7f12GmIDlsTnKqLeglBs3Y4KmNPgVdYutKDtWwTSbcCF1ITAHX1PRtOS48uxFypqNyYc76HeblOieSecINjSRX51cvVYQqTQA5DFINS4cpT3mfgkzHMTL8VHKlH3OmEzDi2Cz0M24Z20AISdXSePtEglPLGXfhQCmknyqJaS81eMdEiGlleGZCyUzZCHNqtqCdqB7tnSMxS4FgarRNLqFgSI6VvpuJ6p0AvGViA0fP+OXl5/lw7RbaseCVVplMCma8AX4qWThX4WLUwh6ROIaSTGZSYE4V6IXqGlY21cTA0ODDu1Y55A4x5WmMuCEN28JP4HCtQ6EcM+Xm+CncNQYHKl0s7b/31duRxbCtPCpf7v8eW5GaeG9F8BN7LQaZxs4iaEhua/j4qcENQya9JGfSzbjU19Xnv00htW8a4ZLv0E00vm+2Q8NSYcdNsYJnKJ9hDkwVDR5bhbdOuOwvRuwuZlzo5vzli7NcX8tZPq1UAqNOzF/5T3CxP6BuWRRHFTGuaCbcN77JA1sLDDsma0HK+6dTbhlWN1rX0HD1nE9eKZFJOFQKGXdypATXS3ANjeWBQ5KoTLGCoaTFw3bCWgCrocFtI1ushxqbp20qpsTUBBXTpBtD2VTBo0NWTjeBuRNVKqYae73UKlMycprLBSxN5TItBBYjrkmUw3UNm+u1uzGlySD5e1rw/QPVt0uI599Wv/Irv8L73vc+vuu7vos3velNFAoFHnjggTemLH9T/Yf/8B+48847ec973sN9993H7bffzg033PDXfu63fuu3GB8fZ3x8nHvuuYeNjQ0+//nP/43+nL+trm5u/gFqV9HmlXaPlSBmM4Qx1yLIcv688wf4Sc7efC8H5WFsTeNCR5n441wy7jgIAd1YmbJOtULacc6pljK831BXWnFLV7kcK4MC87666awMclwDKub2RdnMGC/o7C5mZLnkfCdhPYTT3T7XF8aRSc5Mqc+B0oDpQsLCgwYTOzqMuCbdRF3AVwcpuQTP0JhwI/7zDUqrvBoqj007EZzqqJtl0lQbuReXRkmWYzQhmRjt8HIz53S3j2umaAIGmeC7Zle53EvwExh1JL0EWlFGK1KZI+e6ZaYLIQdrbaIcLE0wOdIhl1CyEva7dYVSjQwSCU9nj9OgxKmuxWYo2QjFG0GZ8/2QhqPxbLODn8K057NBB9dQJnRbkxh6zvX1AonMudxTKezD+wLGDvSpWZK9FYsr/YwrA5VRUR/xaccqNM4cEgrM0JFULcE1NfWHXZ5JsI/WGHMSbr9rma1IYaevr/WpmHCwovGFZbh71EPXlNxlKepzg72T79k54K5hZQ41BdQsyR0jOYNUsD6n0pobjsH8YMDSVplmbPLig0O83FSLW0eXzBTh3nGbpQHMegEVM8PRNV7IzvDC+hB+KlgJQowS/OTUHvxUeVH+t72/wLKf8JmFEAo211VDFgY6Xwj+SmFu8xTHyJj1VG7C8kKFMUfd0A41mtw9ou4Ybx/vcaqZsB5I3j3R52ilj2coiZqfSmqWoO7oFE0oGxmf3brCfrmXu0cG7HlXwg/tsnB0+NJqgV6qMe3BbXuWGNrOo7F0uHdinQOzG+wpa6Q5tLJQGaIrAzIpeN9UlyU/p51onO25ZFIy45Q4UCxT0k1WAhgvDKg4Ed9900XmfVgcFDjVKeLqKtSyHVkEmeB0O+epzjqekTDkCJYDuNDzONmKkBIG6zq9BISljK4festFHE1y88ElNAF/vKBkXLcPxyQ5b8hQa7ZaFFbNjAs9SUdrAspHsNX1sHVBL5HYuuTF/Fl2N1pMuhk31VO0os4TzS1ka8DSQHk5XENQs1IqtYDfvlAnzmCul2EI+CczHUC975VBQN0xcHUJU8OsBxLPTHhpM2N9vcyhUsiQE1AyDEwz29bfK6/SSK1P2TTwTOXRatxuUqsOePv1l7m2rtNtOtSsFM9KuNhNqJopz68NUzXVwm4r0rB1yc/+4Bx1O+a3LpRxdMHZjkRYOtdVI+6+dp6GIygeNdEEXFO3ySRciLcIMyW/7bUdRgoBnqEWSY4u0UXOO6Zs7qqO8XR7C02XXO5lhJnkgm8zvMPnydv2MVmweL7Zw9Jyqm7IzoLHaqBWBrfWqzi6ClGdcjOCDAxN8MEdNjsKysh9sCI4tm+F48NKx/5s02ZhoJLYbV2iC0HZNLil7vOq/2kOz66hC4mtZUy4yrvx6LqNTAX9VKeg53zHdMyJtskTGxqrocZWLPCuc9lZ9OmnOq1OAUeTrIQatiZ5pe2QLA5oTPSZOOYz6Wns8mKScy2OVCVbEWgjHu1EMF5QnqpmbPCevQt8aIeLEApWc64Tc6gqmKl0qdoxB0oh427GVwfn6CZwy7CDBrQSjR12mS0WcWWBV86Pseir2Nlra10u+w7PBwu0Fh0u+ga5hHOdhGkvwNFz/MTgSi9hT9nC1Q1Ohiv4aUaaaRT0DEuHaW/A2qUi6yFsRCb5dm7VF5YNrptcR9Mk/cRiOXDoxhkCwcGyuqYuByaXuim6kXP9UIu3jnW4rTxGP1nj2lqPXde2Odkp8K9mbuR0K+JMJ2fcSSgXQq74HrYmeHGjzi3VBptnHdaDhDvG13lqyyJdDlgeFDhcVoGwUqoGlW2ljLoaVVNub7o0/qL3ILqWkyWCZqJxqSd58+Qa05MtlgKTqKcQ583YJJHq7/F7h3+EV5MrFI2cqYLE1XPumlpjIxQ8sprScEMcPcPUYH9FY08xpGIpE/5mFKtMJNvk1ZbykA15A/xMMGSlHNOu4UpfrU2e35TcXE/xTMF2dBWjdkLF0jhY6XGk2qVSC3itHdFLDWblUfaVCuwq6+gefGU544rv4dgJHx2fIs3hz1u/wd5Kl4alcq1aUUo/1bm2ljPh5lSsmDlfx9YFbj1j2Y+ZKITsON7nhS3lITrfiVXOXkk176rlAYNM0PEd5n2Y9gTPZ6d5ob/Oyy2dYTvjUKXHiAPnO2XmBzYrA6iaGWGmcX6zxr6K8mRlUq0hWpECO2zRwcTguf76P+g68FstifimH3/fNTc3x0/91E993XOO4/Drv/7rbG1tMRgMeOCBB5ienv4fvk6xWOQP/uAP8H2f1dVVPvaxj/Hoo4/yq7/6q2/8zKOPPoqU8o1Hs9nk0Ucf5Z577vmGjvlbxkV8ozSFq3W1rtbVulpX62pdrat1ta7W31zf7BTm/67Jzbd7fUOTmw984ANf9wjDkB/7sR/7a8//Y69uItnpFtlfsdE13qCUff/Q9xHmGXtKLjuLznbnVqOfZNRsweeDr9CKciY9jcW4y8GqQ5orE3eYSXZ5AZ4paA5cFgMlh7mhljFTyCiZgumCSgIum4KFgUnNhqKR87rfYZBlPNtb5bahElVbsPKMxWbgYusZ096ATmAT9Qx2l+BUKyPM1MY1k5J2nFG2YuolH88Q/OqVj1MxM860M5pRzjsOXeH5lyf4jbVnGHFD5l+rMDHeoTCWcf+4ZNotsNT3WBrApZ5A1yRhllG2VPeooCs5zpAjGC0YpLmaRtVrPo6uutxZqrHLSzh03QZLYcCwnTNkZQxS+GD5Xg5VXRqWZD1QIWypVLK13SWHhg33jlS4thIzM9HiltIY3STH0VWqcpYLxlzJI9FnOFTVWRxA3Fbf5bmuYMxV3bWb6yHdRBD2ze0gNUGwKHj7eInZouDZjQE5ULFAr+ikcx1MITFmPK5vmAw5JrauiHCJhB/fN6CfwsFyzpcGz7PXK7MUBOxqtFkLLV7raKwMUlqx4K27F3F0yfMrwwwyZbAcs11+52KVhcBgvKJac/srCp9cM3NKRs7rvQHX7FnjZMdkyBH8yOgRjk+s85WNTcZdB72k4+k5h8oJYSZpx4qMd6jqkj58lrN9hzuHB7zVfQdFA7a0Ft1YUf4ksBmoBHRHF3gFJTG61E2ZKPVoODr9JMPUcnaNtHhpM2KQZjw3WOLxzTZyu6OWSEFMQCJzuomO2DWMqUk6seR9U12qZkbJkDi1jI3I4KWthPtGQ3be7hP5qj9z0TcYMV1yKfAaMSeaktGiTyZh1M7wjJwvtefJpHxDyqEM+AZZruHs0JjxlJzmUl+nFRu0Y3jT9/k8thrxo3sHFGXhDRpPM8x5cFXw7imD5UGBX/jqLiQCoQs6icC6dyc3NXoU3zzE8iDnkFdlK3DYiEymCznPbPU4WLXoxjlBpjPINGxdcESfpaBL7rvlCvWSz86ioqBZGsQyYOzGiKVA55pGC32ixE6riv+Kz96SxNY0pguoLnlPTRRuH04ZcpVE6MCeDZ5aGmFX2WDadala8ELTgN6AmaLGeuDy7inJZ+aHmfAGbIYuowWN+phP1VIT4c0IWp0CNw1rjJT7HCqniNESdiFFbJOc0lTdVsqFkJ1Fk88tOQgUPWvIgb2lhBeaBtrBcRYHDj+2r8NrvR41W7D5Vz3+bN7EntJZD9SkZz3UGKSSZiSYNRtYGsz3EyqNgCAx8NOMTqxIYELAV1czrqtmHPHqvHB2G1Sypf4W+2sWjYk++yuCXYUia5FBnCnZWjfO8F8dsLeUc+dwl43QoWyq8MP9FQU+aMYGS4MYR1criJIJQQb3jfo8v6lC8gap4C/9ZzA02Iot3lP+YaxyTpiL7ZR7wbmOZGWQcWFuiM3IIJOCm3au8ObRAe+firA0FewpSjYakgO1Nv3Y5HRH8FfrG4D6rI0hC01X6PHjjZBeotN63aRi5MQ5ZMvqupDkUDCgnwlKoxFlM8fW1N/tTUMWw3bG0LhPmOoUtyU+t7v7eHYjopsoCVbJkJxI5rnVuIlZs0HVjthR1OnGkqIVM+okHC9Mc3mzxqKfc6w6oJmoyWYv0bncL3DHmMm4C8OOwXuGJ3ANjSdXh+kkBocrOXN9j0/PjaMJeGhVY9iB17oWR6rquOX2gu+JDUPJiAc5k1VFA/yhd13kcM1AaLA+KDBe7XGgLDlsvBkNSRbA+3Yv8cWlnB1FRZbbX29RqkW894NL1O1twlss+dzFKY7ULFw34UApZ/lVj7odMeEqCMKN9YC/as2x0i5halCzMpb6HpYO+7mJ4Xof3ZSUjZyyKYhTg37H5om1FG80ZfIjCpjx2JrPeMGgYgneXt1FmAs2I42lwMJ1Es52Ym4dMYkznbodEefQSdQ060BJnW9XWAEgv7TJB2cGjDoJVzoVTAEnOhav53Nc6AU4uuSnD7Zx9JxBKmlYOc82HRIpmPbgwHWbvNouU3tnnfvGbYbsmB12GQ01/RCa4Ef2JrzUsljpFOklMOlpfGT4n7HqF5hwI15rxdRsg16ippEVM8fRM/qpZMLN2Zp3eceUia1lGEfHcA3BQj/FNXQWAyXlblg5p5eHGXFyWoFD2VLU17d711CWHrpQZLXpoQ4VUzJRCDjXM/DTnJMd9Rpj3oAJJ2czSNlRSDjRa7ERR5zv5NxaGuO0fIIqpb+/Rd8/QH07TW7+n1jf0Obm/xoIVKlU+MhHPsLExMRfe/4fe9VtlQpsamphXjB0tqKMHUWVNu4aKo/ENdTi9Yn0SboxvN29j4IhCDPJpFl6Azt5uKZzpZdiaJK9ZUGc6+wphkyPtNGFuiBPFOBPFzsYQrKrJJkuJLQidSO4f7TKS/IZPOli65ILnYS5ZoVWbHC5X6AXm1zslchSjVzCkKMzSCVr8YC5XsqIq/Nys8zTi2MUDclbqz/LmKNwMcfqULnZ4pW2xz+pHud3L5bohDbeLiCHm0c2sTTBhb7LuU7INdWcl9aHAEV1O9dR3iQDtYHbDDPCXCOV6tQ801bZMU9emQDAvnOS9065rIcaVTPlUi9nzFWehLdMrVKzlSysakkWBjqjLiz6kj3FDCEkva6DZ8Cr6QWc7U1GmmtshILbzfdsL9iV/jjpKongegi7SoKZUh9HhwurdUAtGC7MNfAMtZlq0acVw2YIweWcS0+V2YhM0gWfMSdnT1nw3FaFf7/0BZYGMFQIGLJhyErJSLm2BsfqHuPHYzqJzpSnzpHNMKe2N6FowJsPzBOkarP1VHKCt40rP5ChKxnimbYkzDRaicbLTY3ragW8Azq9RFFvxuwMP7R491iDsiXIBzlfWlYUpbtGNSwNCrrOa+2A//rnu+gm0IoNpITlAO4oTXGu53Kmq3Gxr1G2YjYjoehLPzqFqysk+LrvMexo7CoblO2YJNE5Wrc5n63y1toUH5iqYGiwEea0E51b7H14usEl34KNLq91TQZpjqOn+KnG+Z7g8RemeWFL4OhK367vG+LHH5mkmyid+rBrqE3RmkOSS1Z7SsIXZII4F+wS44wXdF4LNjE1mHBRGOVMo39OYmgqG8dPJW+99gqboUTYBm+dsKjYEbcNlYhSg1OtgHFPo5dkvNrW+NKqhWfCFzfWEY7G8iCDOKXhBmCb1GxByRT4qcGrbcGLTY3rqiWKBnSTlFMdg1aiMewIDtcMPrnYRivAs0tjlAzlP2jF8JHq/cgg51BZfeeyF3GgqvP4qzOAwr0bmloI/LczU0wWYMRJGHPgYg+yRDDiJKQ5tGNFndtXygm+NE/JlJzrOxSMnEEmsPSMC32HmgXejSVsDdaDhD9oPkA7snE0yWKrTN1KyBfaJKHOCycn2FmE8YN9VgK1AbZ1dW6shgbHp1ZZDaBhxdxYT8kvbfCFZQ0NyXXVEq+0BpxcGOE9UxlZK8PWBelqxMIAXm37SGDE0UlzuHHIxB6S6JrEz1IsHW4a3eBku8iP7E0YthP2V5TPaaIAuwtleqngscuTaCaUjZyqJbjUEzy/UadiCcZcnbWFMgVd4hopBSMjk4JxF57e6jJW8vmj+S77Kzbne4JnX5/kmfWMHzi4wO5Giz1lmyu9jNOtiA9WjrM0CJlwA3aUDIyq4L7RFpN7u5zrShqO4MYhnW5s4WfqWlaaUJQ/Q5PsK8bqs13vE2Y6fmySS8GQLbihNMzLTThclWhHp/C3LOZOVCnoGb97OaAyrYhx4y68+OAQY07Oax2fmYLkhloPTYf1SCfKFQo7yAQnWjpZItiKbFqxybmega4JNmUXU4Mv9E/haBJPeowXdEqmRitS19Ic0IS67gw5GtfsWyWXsH9kixzJcuCyGWscH9sgk4rq2YoyCobyGl5b67AQWJzrafzixTUeX00QwGPRS5gCXthMmSnE5Al4o6nyBWmwq6zzcrRAs+/y7skB5v4qVQusck7JjBFC4meCSaPCE5sVTp8cwXZSbh42GHVhI5R4hRgpBdpIcdvLlDPlaWgCJtyc0yvD3DmxxtmtGmFm0E5MdhUl/VTn7dWdNCOb9VBSNHJ2VzvsLko8YdPvOTz7+iQjdkrNVk2gh65McKhmYk1ZMDHEQmCyp+RRtgSTBeWJKRk5i37OL8w/yoXVOnvKJkfKId3YYm27kXS4nLMZmdhajmdkXGfNsOjH9E4kDLkBuytdTnVc+qmSNY/kYziawbmuYHZHk43IVHk9meCmesgLTZu/XO5gHSjhaDmUXKpmznLgcDnqEOeKNBltqg19nEs8M+W1tpKSW5rg9y45pFLjUM1iyNGoWynvufky3UTDNlNuG0pxdUllJKBqZlTcEPyQA2XJyewi944pz+iFriTJBWuhRTcR7BlrUt3OJJssQEm3GHHAEJIgMBmxEw7fvEHDlkx5OtdWEzwjY6FXJJVQtnTO9kxm7QrTrsu4pzHiwjsKb2Xcdv4hln9/b/Xt7rn5dq9vSJb2u7/7u/9Qx3G1rtbVulpX62pdrat1ta7W1bpa31JdBQr8A5QQ0LB1TrUivO1E+lFXRxPgmcrIXjDg4qDLfNbkNv1NxLmkaCpSVyuSrCU+p1oBm0nEWgATnsHLLQ9NgKVlPL3l0u/ZVMyMTqITZvDh6QrXVOLtMLaUbiKZHxhEmeAjtbuYcUqc6+QcqFrkUnCo1uFc3+Snz7S4ptFkvVUkyaFmCY5UBTtdFWrpGYLLvk470YlzuG/cZSOyCbOcHYUI0pz7Jzc414l5/1SEJiRZJ6e3bCKExNIFU27MsYZLmAseWzfZXXKwdVgLEsIsR0NwshXgpynX1rp0EoPnLk9Qt1VXyxSS55smpBmOJrmuGrIcmrwUzeOnKl+jMerTcATHqioJXd8+u9txTjPWMIQkzwQL/Yyj+m66iTK4CwHLg5yDVYdBKgiznKXQYPFKlRPREkVDfV+zB1powOMbpTcCL20jo58IFnxJhSKtSPJKt409Cp4b8emFnPXTDpuRIgud6wl+e/+bCdIcU8/YjBSZzMBmbzFiXykn3UipWRmmkMyWdMqWoHtZ51RbYpVz2onKQtiZ76VgKMJOYzZk3FUSpjjXMIX6vaIMSHN2l+Cp7irn+wYrvkeSqwlV95LO8RHBVmyhCSVTCbOcrgw5UAq5rTFghzdgvKDz7y9/nGU/5eWW4I/aD+MZYOkZ57spS34OmoZnpGykPobIMTVJ0YAk03hpdZg4l9zgTtKwoZeAIWArzNhfDBkvaAw7BkVDMv/nMSebKWOuoqVtRIJfW/wNpkt9jtaUmfdsp0i+0uW2UQM/gQNlyeluj68sS06vDvGmEcFvXSipTCld4mjK5K0JmNCrvO53aMawFZsMUoPPnJqlZOS83ITrajmaLflU50/oP9ZiRyHhYreEo0te2KxxsOKS5PCeKZ3vnW3TDDMqJrzk/xmDS5KjNY32p5ZZ7JVIXl5RYbWOygIZd+HukYRxV8lLjtZtHF1yS71PL5FIBHc0arQvWrxpxzK5FIzaOa+1YlIJzz4+BsCZVpXByQG2BrcfWuBzCxH2dv5GMzY520l538wGm5HJagi7S7C4XMXSMub7KTNFk+c3ElIpiNoqM+JsR7ARGdzWCFj1Czy3qSZG6UKfF7dyXs5f5eem3k2caayGgvFKnyDTWHjYZH2ryCttj3Ys0Gz1OS+1y7zSHLC3mFE1cwwjZ3WQ0ksNXD3jtc8VmCjodGKLqiW4dchjd6PNlYHJldNVRl2N9bMqtPNQxWNvMeNM1+fp9hZhJujMWVh6xsGKy592nsI0Ux5ekXhGgqEpctjlThlHlxRNwZiTUTUTgqaa8BVNgWsI9pV8JIpmGCQmvVRJ9Bw948rAYpDC28dL9COLMatI1VL5Js81XXaUdCojIVFsqNwcW2O8YKIL6MuIQWrgGQLz2Di6JrFmLEU8M+Edkxs4eqoM06U+3UWVm9NNdDwjpZvoDM4nJLmaJBy5Zp0hW3JNVeInkp2FCCyDB85NM9ctccl3qBo29rU1Hl5VE5knN8uc62nsKXmshRqemTJ3tkqQCc53JSdaPjfVIxb9lGhgEOWCL6/YDNsSz4ADzhAzBcm7S0cIc8EBZ4gRR03K941scamnIDetwOHY8BY1S2INSaY8jTTTuX24xKmOyc31PpVawFwfVgIlC53rw/PZCZ7bqtJNwNXhVm+KH9yjgAvXiKP0Uzg+YrAemcxdamBUNF5uFxlzVYf6nvIMX1yuM+755Bs+fgpb8wWKVsJCs8KFrqTh6JhC8mq7hOVmrIXwrskmtgbn1+p85dQMydk2v7GwzPU7V9mKJPdPqenT1yaQ+xstvrRaoJtoRLngL5dM6hZMeAPO9DoI1GeQIzA1ja8uj3DPO1e45FtYmsqYqloK0JMHGVxZY66vJNm9REllMwnPbekkueSnxu7lhVaJuV7KINPpJAbtxCDMYCPWWIsMPnnFQReSzShiT9mivVXA1HKkFKyFGkEmGHcz9heLOLpGM5IMuha9VPCdM4rQ+FLLpmJJbh+qAvBy2yA7vUKUC15tm9xUrXGkCp/vnEUImB/YzHoS10zYWzYQAlaCmGMNjcWBTdmEx9qr9FKdwvt2UTEzpFRrnkwK8kSjGeuMzPRZ/LOQXV7EjdZeHD1XZMUqrIaCZ7YMVgawuFmhaCq65NdqylUwmxfWh+mlOsaEy95ihAAWA4OH1kyum1pjM9JYCUJONDNOJ8v8afuPONOOWBmoc+dryphv17o6ufnW6urm5h+gXm37amEpMzxDnWmZhN72YtrSlaRp1i1zvDzCeMFgYRBypttHF7CvLDhWrTBk29w65PHV/jxrQcZ/Xr7AM+tKa2pqcHqrTpQrOsoNtRBNwJgb8KWlkJXA4oLfZ1cx5QtbS4CirJQtTQVRHl1GCDVu/u6xKSb3dolSnSATXOlnDDKYLQmmPINWpGhr902t0U2+FpSp42zvHhYfNdixr82essVthxdpeAEnXxphbavEmWaNkgm37V9kd1EFq5ma2nic7UjeNmky4Rns9cpEMqOg6wyXfPqpQjrvKqkLfyLVgqn/5VXmBzoSdbG8rbCDP26+RJAq2U0vUTcScztIr5+qk3w11HD0HNtOGXZ1OmmCo0uu9CVTQx1WghBHV8SlXWWDXiIYafR579A0EsHSAIQBgwwm3Yxraioc1TUTNiJFUzpccYkySUVz0Ydtzqw3eO+0hhCSiz0VjhlnMMg09lc0WoHLDbWEpUDj3aUbqNsRpoC/fHwnOz2fQSYo6JJWJPmL13biJznnzwyR5DDnh+RIRtwAAdj37eDB1QFBKhl1YhqWCjjVBLz+aAU/hbc2ximbEkvL8FNYjQJWN8u0Y8GZrgpkNTWFc/2e6Sp33LVEM1Ya5vECvKX6M+ypKF/W+4v3cqUvqVUGaEDD0UgeusDiwOFYtcKZTonuNmpT1yTDdsT+Us6Yq/HYasTyQN3Ui6aOoam/Ec8QXFfrIXOBLgTtWHKqWyCTguPe99CNLMadVHnVrJRXPl3k5y/9Pr+5+HEaVsrrPIulC57ecnE0yZGawDMFk25IJgV7KgZboWTENVnVF9kMJf1U41K/wC4vwNUlLw/WKBo5vTWbfz71Ic5dHEIIySXf4nQr486JdZJcoWA9I6PhBXznjpwP7Vrln8/8f8lTtWl7+vwUD615LL2kNOIA1zVavNpMWQ0N4lxJHnuJJM4FppZzuZeQ5PC2MZ9PvT5Dkuic7QpSCXXb5Gw34LWuRyfRWQ4M5i/XuNiT2EOSmaLDlV7KXC/lbM/g/dMSz434rxdDwgxWA3h0tc65nqICjjkw4hqcbgvi0EATcPdogp9q7G+0+NySx/6KwNUFf/mlHYwXNFYGr1DQJfvHt5AIBpHJxy+uc6lVwTHSN5oEzbMWVTOlG5tYms5UISLMBedXG5QtnS+v2CwHamOyq6g8WX4qKeiSqbtTXtrMudwt8cRmm7bvcqY7oGGrVPiUnMNenfVQsrJV4hOXG3iG4MPV2/jC5Unqjs6ZbpEkV6QkU5NsRWpzeeNQiyjXuLjS4LJvEGRKnW7pOboQxDnsu36LXirYiCzSXNBN4Kn1kLqV8+hqncfiR9gIYdgRTLg5fgJzl+q8uNFgM8yJc4VXXg8kJ9MH+fxK4Y37wolmhdxPKZuS6UKO50Yc3rvOLY2UVujwyTM7kAhe71ksBzZzAwshoGQmrAcu5riBoysQ9iDLGHUD5MVVUim47egCT64LjjVMaJQ4WlPX5p/8rou8bcznnRMRi35OwYr58tIwfipUKLBXYCMysHWNLFPXyONDGcsBXO4lmJq6hpQtweJAY19F0EtUM2noQKTIXWVBN7EYxBatWJ3s75po85X5MS50U45WYqYrPZpbHo4Oj/lnKVuCGQ/utI8R5oK3jHU5VE743l1dDtZb/NtLH+ftkyZ+KrimEvDl5ZSHV+toFZPZQkw7FvRTSdkUXFcN2QocVp/UCDPB+c0aW4FDJ7bQheBif6ACknNBv23x3sk+moCLvZheYnK03ubhR6Z439AUuqk2a66b8H8sLVAxM5oDVwVHexJDwFeWI3aVBBd6ksmxNjo6n7qi89mlKue6cEK+wpFqD+EalE1FXTzXdzhQ7ahzzhCc+d2UwxXJop/ycqeNqcHyQBE3xwsatvY1IlvOF5cNTnYsXmzqWJpaR+hCBZ6uRyam0OknkpfWhzD0jBXf4wf3LbMVSeYHinKY5JIDFcHjVyYwBFzTaLEeQjeBCSdjPchZ/WJCK5L86Z9O000FJVNh6AE+UD+Au9+mlWhsRIKxmS6DVCIlHKkpfHkvFbywmfCW+jh/MidhapQw03hps8ZfzCvC4QvnJnhiPQcNKo2A66bWOFzVON9TIqLTHSUhrttqnSAlLA00vtyZI5GwkrfxjIzV0KIV6/RSjWQuwNVz5noZU26Ko0O7W+ClrZS9ZZeNOECTGsesd3LTkM0glewo6t/2IZ5XPTffWn3LtLSrdbWu1tW6Wlfral2tq3W1rtbfT8lvcgojr05ugKuTm3+QsoXBp7oPs7dYYNGHfqLaH1f6isQiEDzfbmFoMOOprviIbXO4XKRoCnqpCt0cL2iUTMmF8DEats5RYxe7yyaWk3LPSJckF3QTA0/PiHKN5UDDsxLqlgpQPN4oUTJS+lqH19sx/W0j57lOgjkkeGBhhNsaMQ0rp7ngMFbtkeQqa+ZkMyPJBbqmeP53jumM7esTb2dMGEJ1lV5oOZzZqJNFKLqRJnlwcZTFgYulZ8z5aqyfRDqroTrdtkLJy+0OAvC2jb1FU3DbUIlh12ChVaabaFz//2fvz8MtO8vzTvj3rnnteTxnn3mseZJKJalUEpqQxCwbAzYGY/BHSHAcp502uD87HUPa8eXu2LHjOIMTQj4GE4NtwAEzCAmQkBCaq1RVqnk687jnac1v/7Eq8kdMEgO2G9P7p2tdV+nstdde+5w1ve/z3PddaKEATii4e+cS86mILx+fwVAkOcOjFwqudR0OiH04oeT8YplQwv9+cQtdkaz34XzDRwhoeHEGxmYjxe6MRBdxC+Dbp/t4nspMymalG1H3oGzBu3assryRZbETUXNjMf7GpWScMVKuca4psTVIp2IHH1XE4tx9OYUrLNI74xBJga1KSjsc9uXiKszrRl16oYICXOskyeoBs8mQig1XOkk6oWDD1bjSSSIlLHYhawhKZsCq16HqxiLvsmEyn0xxppFhwwG6DvdVEsxnBJqISGgRB3OSzX6IIiTTibglIq1JrnZt6q7kkeZvM7evRj+MZ6hLlkLZlDQDHycSaOMJLDXiZCONrUruqyRo+7FI9Xi7SkYXrFXTHC6pWCqcfbqAImAuJfnnC0ucbTi0fJBScL6dJKX9eYBd1hA8118hZwpON23+sP40k0nImS4TD4SxEYERh+gdzru8cigW9LqhYEdW4ZvbNoFU+IP9P8n7Z/4J59o69xj3MJtW+LsHFvnMYkDFDMjogitdmw1XwVAE13pdkhrcrO1BV+Jj+VpP5dirNigYPgftYc62NK5t5dAFtH2DpV4sbrU1BSnjwLleEFcSGz2LguEz89qQjX7EyasVVvowk22x0Y/Y7iaQxKJrQws4Gy6T0WPThfGkwFTjHKMNx2IypZPRJUXb4Y3zyzy7OkTNjStp/7n6+1wU5yibAc1AwYkEfqhwS0mydCpDRofZjMaa32E6GQcjrjQy3DWUIqHC07UmP75nkX4omEsbdII492GjH1C6TZDTIxJqGLfwWT6l61rbgikpGh470hEFe56qJ7BSPpGE07U8PzE0jkRQHO4yavnszQmiSLDm6KR1n/15k16gMm57PLGVQlME75hpsuYo+JFC01cw1ZCv19e53JYoEzmqnsuN4xvcWsgSSbi1mMS7XqFuizYtL8RSYWKkQVKDlW7EqA0Hch1uKYacbijUPY2cIVjrG5RNSSAFmYTDvTcvcqaZ4stbm9fNXiTPVrOEUqIKaF4z6AaxwYamSF4/WmdNbMctXZrkP+y8k6IJhiIpGQFZQ3ChmSGnB+zJKjhh3A43nlR4V+nN7EhLvr5V54Xf8zlUaNJfkJhKbAJzcr2MaksqlsNyzyKpRlzqWGw78NGrDvszfcxxledqWTK6h7casOUKTtYFtw3pLHWTBFfb7M10sSZU7hiSVKyI8NQqioB37VpBHY8dodJawAMjIWGkcG+lRkaPA5SLluATC10OFRSeXRmmG6jYaogqBDuzOk0v5FtbkvV+XG2qunFOVd0NkYFksQsHsx6HJtf56JUC/UDi1SBruVzrqiQ0hSHLI1fscamRxQuhIVeoOhHbLqw7LgU9ZDzf5HJHJ214eKHKz038E4pGQFaXFEyXnKHxuokNpB+RMzx+f/NzXGl5nKi6VBI9/vX5BKfWy1iqJKEFnG8nUYQkawhymsm4HbvUrTfSjGXaXGmnKFs6uwp1vrhSpmi6FAzJ6lqWhCa4vFngx0qTZHSfK50U+VIPVUgyesCenMl6H7p+RLNusyOV5Cem4+rH+VaXtxduZWKogXPZRb8eUGsqkulDDbadiP7l2FlNAtNpjX3pHJGMq//dQBJJaAdw/+h27NJZktw33OJNE228CNZ6caj2AyMekYRm1KcXSHZk2rQdkwtti8JQj6PFiKQWt6ROpjRO1kNeqGtoiqTn6TxTazOTktczogSbjRS7soIbSzXmknF1LAKqXnzsi4zJUjdu0ZbX27nX+z62GhuWdAPB/ryBqcKtZR2urvB/LJ4lqYXsyulMJXyavoaC4KFnp+k0TGqtBIGEgzmf8QR8pXucIUvyi3df4M4hj0quzVov4jW5aRpeHEwNULE8dqb7pFTJieeHudyxOOdt0gsUwgie3y4wmtSoORE3FVIcS48ybWWw1Fga4EWxEcIPMtH3sQwYVG4GDBgwYMCAAQMGDPiBQUqBlN/9AOx7ec8PI4PKzV8TN3AbfiTZ6AdUEhpPdpbRldgSVlfggaE882mBE8aVidhaM+J4vcNCO2SrH9DyYa0HP1d5B3tzknsqCv0wtjPeMVZlR7ZNM1Bo+LGvvCokbc/g6JCg5quUTJjPNamHS+RNjbVehBNGDNk6/WXBneUm0+kOUwmHa9U8xRkHQxHMpHUOFVS23VgQnjMEd5TraEWVvdmIXWmfK12VQwWdpAZXuybPnxkjYygsXctzpNAkbwTkMn1erMczTatbGVrXhfCWJri1kGUkofBSU2V32qfhxr3kpgKfXkqz1BOoIuKlpsCNJHoiZMz24pknEffJF42QomGwKDfJGIIrnSQvtRv8wtQIW65C3hAkNZWiqXK17ZDWfUqZOPvk2JDJYie2tDy9UaLuhsxnBJYal4INI2DH3io5QxDKeL+fWh0ir4dM7WtwsCCYSMSZH5NJ6Acy/v1Ggt3KNESCLVen7qkYd4zHs86B4MDwNiv9eOZ9d65JJ1BxI0HVhU6gsNZXKBkhr73hGueakod7p/FCGLX73DuUZTbXoObCOW8TTRF8blmQN2DtD5tc7cRVlUsdm7qnUjBCbimpVIZahFLwXK1LwxfMp3qMJBR+cfqfYMza7M0E7M1ETCYiBLAqNphK+LjnuiTUOIF8pRfP3j3WuYKtSt45WWAqFetpegGktNhSe8PVSGqSX50d40jJxgmh7enMp3r4keBaO0RBkNQky+Epwii2mH5L7hYWu/G5o+wb56Z8nCcxbrvszDXZm/G51LH44orCUlfy9/YtcfCGDXQlnulc7Egi4EjepbDH420zClk9pGzFrze8uE992LDp+JKkFtue31ZqMmFHaPuGMZQ4YVsRMJZr40YwlOhxuSO4q9xlPKmw3EpTsRVerPU5Xjc42ciw5RqIrMWenODIgdV4vyea3D0cYesBoZSs9CCZ9DhV/zjjtosfCbacWL+W1iQFw8OPYp1YGAkyRZdAKuRMQVoLqaRu5LBygGHLJZSCG3N9dDXCUCQX6jk2+5LppERFZSbZpzzRoR9oWGpst31jLothB6Q1ybONBk0vNi2ZzWhE3YB2EJsKHMq3yY67DJkRG334wLVP4kUKWT3iVuUY3QCcjs5nqpepeyqBhN1D21iVeHY6lFCYdUhpEcOpLlfbAWfbBroiOVLo863uIknD51WVJjturPHa8S0WuwnuylUIJYQXtvmpGYP8Dp/lbsh6L8GoHWtZQikwpElCi+3ezXQsLHbD+FpgqQF5PWQ2HevOjlddbirX0BXJmbqP76sIFWaTferKNnOpiKttyeF8i21HstwNubhepGJF8Sy94VFM97g/Nw7Eusld+Qb9MM4CG030yBqSi239epaHQFcEaz0fU431E71QcFcpz8G7q3R9Dd9RsRTJV9d1LnZM6ssW59sJvrKm8mJdIaOF3F72KRsWk+kOatkmoUoypsc3nx8nrUFSJz5vHJ2gJdk9to30IiYTLt1A4cLX0yRVydB0l3C5zRfXkpxvJxixPbZ6CSYn6uT0iKwhWWiHjBgJWr6g5mnUvPh3e67hkdHjGINDhbjS3A0FSU2w0PGwNYXPfX2Gii1IXtdbHc6Hca7blkXbNZhIRNiqYKrQoL6dIGd4jCdhigNsui7P1trcVk6Q0CJ8XyOlS3bc3uTRtRL9QDJqO1gqdHw91ujc2Cas+pxvJ3mV/Vo0RTCaNChnu/zcrj5n21aciSbjc3vbjfWC81mNbqhyJN9HiPj8Ot00GE0oaFrEe++9yHLPBuB8I8NsGo7Xk/RDsLSQO6dXaNZtxu3Ygt1WBQdzEeeCNR5fG8LWBCXTI60Lxu3YACO7I8BtqjiRYKMPRwpNAG4tCYQquWFyA0OR3JCLNSJVV5DUYh2eocTa0UKmx3hSZ0+mx+xwnbThE8rYWv0jC0125ppEwKq6xEW3SsLwON3I0PJjbVFCi5hK+DhhPJv/mtHY+v1EDX7jdJpRM0HJCHEjga3F1/IdKY+J6QbjiT66AjkD1vuSbiAQpsaOtGTUClm4WuB3l38Phfh5JqnDa8dqGEqs+nhm2+ePPqjy5twBdmTbCKBsOWT1gJShcHR8ncq9Cv/qbJmNPpxvayTViP917AbSWkTixhQl08NO+phqfE1+sl5lZ8Zk29UYS3UZTXWYSDjc9dQnGLU97shWGLXduLIeCuZSkr15hbwB205I3YtFoKdbTVp+bGk94IeXv/WDmw9+8IMIIb5tqVQqL7/+mc98hle96lWUSiWEEJw4ceLb3l+r1fj5n/95du3aRSKRYHJykn/4D/8hzWbze96n2bTJsGWRMwWVhEbHl7wiPU7VCeiHEi+S1D2oebGg7xtbLVI6tIOAY6U0GUMhb6qca7dJXHdb64eCw/kWJROeXSsD4AYqI1bAiYbGbCp2CFvp2ZiK5HUT67R8QdMx+ancA3zNfYquH2EqsZPWo2cmsLSQhmtQ83RW+xZqVmE6GZfXbQ0MJd6/3174NXJJh+6lOCS07as4oWDYkkzYPncM1XmuniCpweMbRc4201xo2wSBwlunHHZkFFa6STQhyOmSo8UIQxG0fMlqNyKlRUymFGxVoirwtukGk0nJxEiDsUTc8rWxlOF0y+KXbrtMSpdUHZOEGiEl+HiMJa4HfVVyOKHCmUbElhMxZCuMJ+GLjd/EjxS6fZPPrfRRBWw6Pv/xUpqc4XGooJLQQCC42oFnVobpbBikdEFaB0uFihWHpoVufDNq+nCxmaEXgqEK9uViw4huGNDctphK9mkHAupdHt+MBx6er7IrHWApkm9tFhhPxOs4YezqtSMV0vBV3K7KkB2Hbj7ZXmW63GAqEVHr2VTdiEm1yLe6i/zi3jbdQHB5K48CNHzBpqtwqaNwvq29HDaYMwJuKyX53FqdqmviRzCRgHDdYcNV6YSCqhe3RO7VJjCUiD/95gyWGlI0AlZ7Iet9hWJUZKWvMGT6tHwIQoXPba2SMyS/fTbN+SYs9RT8KDYESGoCUw3JmR7rrsqy22UqZfCljTpTyo3U3YijRY/FTogQcK2Vhs0GEA8YIxmL7dccjQO5Dq8fj1jtuWhaROTC754PaHnxQ7UqYNvTcNfAjeJwUP96C6Ubxu0XbhQhhCBjCL7Vv0rK8DmQbyFrHVb7Fm+ZdMjpktE7fCYSEWnbpWjCXLHOtiPZM77FbCrklrLNQidkra/yR9eg/0wNLwS3rZIzIPXqYQ7km2z2bIomZHSBZoT86vyv0vQ1tt3473Kp5fNcNX4gW+i4PLvt4oQaS4s5zrTisNiap7FLHqRoqfExHMQD8LZnsNhT8aUgoQksRbIvk6bp67htlU6g4kdw2lul6kScuTrEuqMwaqSJgEkrzXRSsvBkkoUOLF93hupuaOxM9xi24bfnf5ymr7HmaLhRyExScma1zFvLs5TMgHE7wk76hB1J0XT5wNWP8tRTY1hqRL4Uu+xldcmGYzCVafG24UlaroETanRXVXQl4mCpRs6Infq+/oURklqI35RMpTS2XJ1QwpAFj21EzJl5xpIKlgq11QT7sx7tIKDhK5SzXXqhwqNrIaYacSBvstZJstRTeTG6yHIrzekTQ4RS8Ob8XpJqxK0lia0HOEE84D3XSnClE+dyRRKeWytTMGDbjTNImk587kgJq70E1zowmQho+Tqfrp0jawgmU3r89/ElhiLZ6Ed46xEF28F1NCJgPgMZPeL8ZpFICt4y6XJbKbgesKhwoKBSd0yipstcukvX1/nP1ywCGefXNHywFEnkgYwEm6csal7sjGeoIU4kaK0ZnHqsyM50RFoLWehadHwNp6Ox6Si0fUFKVzhcUnmg0mZ/to0TCS53DYYTOr1AMJ1WKBoh40mouYKOL7FUlfmMwpGhLVKapObpmOnYyCKMYL2R5nQjw6Fcm7Yf5yGlrgdOOiHckCpzczHBNeUsTihJqiGntoqcqEHUjzjbFOSMOHPneC3i00vJ2DHzUJn6FZMntwR3DClUbB1LhWbXImu6vH3vAt1AxINcI+TyddOIuVTEY5sa9/zIBgBna3lWe2CpklbPQivHgZNXOwInjNuVC0ZsMrHUtfE8jU9eHOVk02KxZ7DYiRizPV6dn2Ctr+KF8J+vpfhGc52kLvjy9gZRX9Jtm4RSkNKh6losncqQ00O8rkoi73OiruBECheazvUJFyhagn4YD7S3m0n2ZCWaEtHrGXxmqUgk41ZaX/jU+jYNT7BH7oxd7W7rseGqTCcDXlwb4rmaxrM1nU0nHpBd6aqY17PydmZ1DuZVdmXajNoeoYSZuSol0yPyBcu9eFDd9mHIigcwwbUmq32FguHTcg3eP/kP8WVsmNDyYLWboBPAv9t8hCOl2HXwhVoPVYnYlQ640E4ikCRUcF0N2fe5pRiRNWL3wFAKTjcEDV8harpc7dhsbaVjNz5XcmuuSEITXGgrWFrA0HCbqmfwBwffQ0INY1e6UOW+SsjeTJeI+H58tS3ZldO4q2KiCBAoBFF8z/hBZtCW9v3xQ9GWtm/fPh555JGX/19V1Zf/3e12uf3223nLW97Ce97znr/w3tXVVVZXV/mt3/ot9u7dy8LCAu9973tZXV3lT/7kT/5G9n/AgAEDBgwYMGDAAPjebZ0HBamYv/WVGwBN06hUKi8v5XL55dfe8Y538Ku/+qvcd9993/G9+/fv59Of/jRveMMbmJub49577+XXf/3X+fznP08QBN/T/ozasOm4lMz43zNpwVY/pGRpRDIW1HthnGcjgXEzyVIn5FDBZCoZcrgQkTcFtxTShBImE5JLrTiNe9uFyx2dK6sFrnRSlE2PvAFPbKfxIkFCDV/ej4lEyFrfZiYleTB1jKvhJsMJleWujwL82UqBh9bTfHZJYbmvgSJoBQoTKRUFScWOZ1N/d98/odG1WF3NcKUtON+OB4+9UFAwfOb3Vqm5cYWp5gluKtfYl+1yaq2MIJ4hWXPiGVgvErxQV3i22iOMYDylUPdVdCUufduqYO+BLSZtn+R4yI05h53piAv1HIYCmZtNnt6SLPRMXmwYuFHELdYMTgjTyT5FQ6IrksNFhWPliJQet5V9/IZfoeUbDA212JlOsNKDO4YN9ucEE4UmnSDuUz2Q9bl3OOBbVYMrG3nWehGPVauM2LB7ZJs1R6e2nMAJJd0ALndMFruxaLMXwtV2iKWoWLbP8UYKL4LaQ20O5BVqnuDR1SEKhk/Tj3MonFAloUp2ZyTtQKEZKIzZHosb+ThHwQp5RXaUrUaKtB7yXC1LwwuYTulkogwpw8OLJF9aS6MpsNmXPFBpMJ+KuNKOW+G+eXGctq+y1ovYn8pR91Uut3y2XcGl53J0AzhabOJdt8993H+CfqjiRQrn20m6gUreVMgakteOZJlNhiz2DCbsiC3HYlwpEUSC9+7oc6QYkdUhpUVcajms9sJYXNxOIYCO6NL2JbNWFlc4jCYVplI9LvkbWKrgYsfkyscdGr7GzqxgJtvipVoeLwJLDRi1HbZp0epYaFm4fySJrggO5gU5QyWUgup6PFt/pmUgZXycjidjcXxG18gZkNYFr83NYmgBc1NVth6KWyYSWpzJolTSTCUcLNvn3uEWW+0kXiSxCwFbrsJmX/KWyYCmLzBUwf/vsXnONSWPXxyPLbBl3A737y/G2SXTyQgrH3K1HXKla8RVvAjGkzq3lCR1T2NX1mRTNrnYSnKimufeoTZOAGuOwk2FBLYm+Mp6EoCpTBtLDbgh55LTfbpBRCDhRKvOF1ZNjl8d4a79SxzKuYxR5s5h+OJahj/d2CJvqpgKbLouRwpNFloZCiY8vCZ5bDPD2laWhmcwm/RJqBJLjXh6KyRn6NQ9QVLzr5/rcduNmQ3xO4JuoPG2wk9z7M5VvEih0zSZTkoKRsh9c8tMHm4zm/S52knghgqfOT2NF6qkUy5/urnKN7uL5AyPp6oGl84VudiM20g2nLjafKSk8qK/iHo9j+nfnxmnYHiMJ00yekR+0sEJFf7Z4TqbjkFalzyykeKJrTae7PHEdopvVbOEMm6LTGgRm66CG6iMJhUO5gX7sh1yBozaHlnbZcR2aPqC3RnJTeUqT2xnATgVLJDWAxY6Lkt9jW1PY1xO0A3iKu/z2x5SwpAZkjEEStwhRXGnw1pfZaUHv714jaWehRMJPr9i8YYjVzEVialKLBW+sZVh7UkdSw1Y6SZ412yPT69Wr2c3wSunVhEKXFwvcnxtiMe3NIpm/DlZLeKLlya43E7xbDXOvnqppXDz3CrPLlVoB4IxOyKtCwwFsmZcWYlkHFNwtBgRSMm/3XwIXUgMBVKaZK0XMmSpdAPQtIisHnGlq6PnY5OFlV7Iny7nOd9WObB3g4whaPs6Vsbnn79ks9yVzKdhvR+xSx7gZM1hPt/gw5dhd1bwp4/McLQUstKL2/4mkiovtOI2OhSBpof8g1119mZ6JPW4uvvoWomWa5A/ELLpyDh7LFAYs6OXK//HSiHqnmH8SOGb2yZZQ7DWi6tc3nrIQs+kF8Kdk2tsu3D72AZ+JLnY0XlhvYyhwi2FHp9daXJTEZJawPmmx2wqoOqGvGbU5a5cBTeUHEqUCfvXW5tTfUZteHQzwWIrTTdU2N5OsXI1ixdBO4ijGQ7l4xbJuVRc7b5zWGG5kyQCNvsW6+0kd5c7hDL+zj82PMSfraaYSoQ8K5+gaAmEoXBLoUPZ9GgHKtfaATcXfCrXzUGcUPAjt1xhf8YlrcddElNjtZcNBRI3pqh7OsvLOZ6qGhzO93GvG2TkdImzEHGq7lD3NIq2Q82NuHfEoOXDTBo0RXKlFfC23H0UDBkbQmg65UKHUApeaqpUPQP3emnBueZzY76JG0nKRsCmK+j6ERO2z7lH0nx1XeHxjSJHSgpbToAXQsuXcZUnUrDKEWdaOjcPb1HzdLYdiQKM2g7TpQaL3bhd2gklVUeiC1jswLCRwFAECx3/e3q++5tCfh/LgB+Swc3FixcZHR1lZmaGt771rVy5cuX72l6z2SSTyaBp/+PCluu6tFqtb1sGDBgwYMCAAQMGDPheiSs34ntY/p/e8x8M/tYPbm699VY+9rGP8dBDD/GhD32I9fV1jh07RrVa/Z62V61W+bVf+zX+3t/7e//TdX/jN36DbDb78jIxMQHEKeEJVWOjD9e6cS/pjqzGwXw8i/QN5xx5U7Dp+Cx2Qm4tC+YyGhUrFghrIp5x6Adcn6WUtP2Iy+0U82nJrcUeT25nSWsBvUBluRsHe+lKLNqLpOD4VpGCETKe6JHUJNMpGFdKJDVBxlC5aWyDvRmPp7c7/PSMz73DNZylkIIe8eX6Ehk9onc96G0q4XG5nWbHnW0ebl3jnqEeO9MBy11QhSR04admtxAIbivGPbbnWgk+t2Kx0LPiIE0BFVtyON/hH+5dZy5lc7Xjsu1IrnVVikbcmw5g3Vxg29NoXDauixBDlvoGB7M9oqbH26Y9VAFvmqgxndKZSQu+tN7glsOrqEKS0iL2pPtk9RAvkqQ1iSokQSTotCzyRhwSllQlvRB0PaLlSzYdmE33SGsBryh5WGrIvpxgp51HFZLcjMdST+GPLo3xjpla3PssIalB7/rfajKlshxtU3iFyf5Mj6lEyIdPzDCf8ljsRNiq5GTTJqHF+qWFbixkbQeCB8bXWenBq39kla6vcbkt6YdxRemR9QJ1T2V3useQpTOagDtLeQwtJKkJPvDmC+zNSm4sRIwV40H2HUPQ9ASXugY1X2UsqdDwYo1TQlMJJfihQlqD3zyTZrETcWsx4O35u6hYDofyTS60lZe1K7qAhCqZTvY5UZPszbY5OLbJ3pzJ01sht9y+Rk4PGLUDNlyN6ZTF3lxs+Quw0ImDRO+pREymVO5JT+OEcKaR5o1Do3QDyY/OrdDzDNqBwhun1gmloGy6hFFsWGCpIW8YGuL4dgGAYTOi7cfnjRdJRi0PXQ+42Io4lHXJGXFIZijhUgtWnD5nGx5VRzJqxzcPRY+otRKMJXus9i1eMb6BbDqMpLqcXBpmotBkqZugYisIBT60eRI/khwoVymakl/a1ySrRfzYhI8XKezLRJz9kMe5ZoaptBYL5SVsXElRtBQksY1q0RSsdgNGLZ9bxjbIG7DXKtMMFFQhqXkG13NySWrxzW7Ujjicczhbz7HeS1w/djR0RRBKwT2lArszsZg6cdCiH6rcN2Jyoq5w/3CHnxwrs9n3WewETCYs5qerHBjb5Ka8wy/ta8caH8fEUkMmkn1GbRcpBVXP42HnK2y50PZ1vrTe4NhQjW1X8PgLEzgdnaQWsD8n6C7F5g3dvkmE4OjoBrkdPsKIKwi9UKEbqlQsHyfQqDcTPFge5bX5KXbv3KQXwGInxc1ljbLps96P6ASgC0ldLuFFkherHj+zY42M4fFj433agYLXVHh0Q5BOOtxQrlI0IiRwUyHFPdZh7iq3eXw9IK37bDvxtSupgamFHM4HRMRGEkNmhAJUdnfYMVbly/UlVCHpuAa6iCvaR+0Z6p6GKmITkpMNhT2ZWHc4mZDcVDJIaAKBZDIJxrRJudzGuGkYQ4UD2Yj/eKDEuqOw3IM3jDkkf2wWU42oWA5vnF5j2IyothM4ocZMps2e0W1+YqzIM1sBn99aZ/gmD3NSI4gEB4e3SWgwYQcMj7Wp+QolI2Ay2eNQHk40FJKaIDUT8ULdvB4eG/fnD5sBy50kX1rLXq/Uxb+byYTknYUH+Oa2RssXbDpQtlVKVnx/Gj7YJ6lGtHxB2I07BcaTsabwSMFD0eOKtiJAz8DdIzrdIEIT8bXSlyGWqnK2luc1YzotX9AOFO7fsURGV6i5JiVT8pGjHpEUBOe2KdxuMDVep+bptK/b1+/N9BjLtQmqIWEksbS446JkBPhRbFF8y9A2dF2Suk/RhDtKDnuykrpjUl+xqXtx1aAw5bAvE+G4sVXy3ozHw+sGNTfW8rxtMkNOj7jQTnBsSCeIYG8u7mTI6LDZ90nqAr+joJshXqSQN0LetWONY7etEMpYB/uRS8PszsBs0uWuYZuMHlEwBWO2h65IcnpIO4gnV5f7OkLAi80khiIZTQhuLvR4x+w2U8k+DybvIZSw9A2TyXyLLddgPt3hlrJGL1D4w81FukF8fTQnNRQhqVghf7baxEhFTKV6tH2J7Hicb5u8VM/xUGORSAoEkNFjy+9zl8pMJk00BUrFDqqI703H6x0qZshD6zYHChpTKbDVCEXAgYKG52rcUGhQtqAXKMyk4mvamZeG2H9/I46QAB7ZaPKjEyEzqS6Prhd465TLxXas+dqbM+gFkksth/sqLZK2iwxgb8ZH1wP+/SWPpBbvjyIgDBX2ZePrxo1FhZQu+PjqKmu9AEsVGCpshe3v4snwb55B5eb742/94OY1r3kNb3rTmzhw4AD33XcfX/jCFwD46Ec/+l1vq9Vq8brXvY69e/fygQ984H+6/i//8i/TbDZfXpaWlr7rzxwwYMCAAQMGDBgwYMBfDX/rBzf/LclkkgMHDnDx4sXv6n3tdptXv/rVpFIpPvvZz6Lr+v/0PaZpkslkvm0BUJXYPavhxX2empAUTUk7iK2g56IZBNAOPSw1nnHth5KVvsK6o7LQU+gGgslUPAtxrqXwuP80fhSvm9Y9bi22UIVk31AVX8YzGBDPRE8lXD51TZDWAsrZDt1A0A0EFVunG0hm0wqlPS6vff0yf2fO5NDYJpVCG6+jMZ5w+ZXZYeqeSj+UpPXYpnbU7qMeGOHBwgwZw4/tozvxTPXTp8cZHWmiKzCda/Kt9TLedXvJE/XYYvZ0Q8FUJCOpLlIKLnZ63FUx2ZsTFM14dt1SBafrHrLvUzACji8PIwQk1ZDXzawwnm7zzMND2GrIZMIln+ozlYItB27J57BuHwLgULFG0XJZ6Bn8Wf0Kw1ZIL1TQlYiVRhpFwOmaz++svsQ79yyxVk0zmYw1UGO5Fmk94IF7FugGOqqQf/432oiddEasEEsLr88Atmh5kruH4n7o5W5IJCKkEzCbb7Iv1+TdN1ylF8SBeZYa8cbpNXK6ZC7p4URxUOXX1rvkSz12ZyKUvEUoFV4z6rPSV1juBEwnPD6z6JHSfWbSguUeTCQipv5BiblkgD6eIKOF3FpqYKdjy9CiEcSOQL7gakdwqRly30hctm75ARVb8uRWnqYPPzPr88pKxFy6w5AF+6Y22blvm9ePdvAjQdeXCBG7kEniGbLzrRTtjkXLl+zLq+iTSVq+hq3G+7HtxCF8z28VODy6wY2FiOlkSMmIZ1bLFlRsKJs+OUOy2g0oTvZRlYi2D7lcn81ugtFMhxtyDinD52I7nvZ7fEtj+WSaiuVx30g8V2WqgmG7z1ItSxjBKw4uklQj2kGsI0jpcGM+wUW5QCihE4Bl+vQbBlM7GxhqyJqjEQQKa1+NndL+eNGi0zNxQoXVXsTGlRRvyR1iJKGQSju8+8hl5ndW2ZtrY6khh8vb9EKBqQWoQvKG0Q4nqgErfQVdD3FCmEt6vKLsk9Ykp+RF3EggBFxqSUIpudASHCzW+c9XFaZjic31wMm4ijts9xm2HHKmhyYkT25bXOy28KLY9hkgqweEGw7P1WLHvN0ZSdrwKRkha0GLo0MaF7sdErOC3C6fqUyb6dEaBT3iie0koRSxdXEkeHjdoKAbvCP/Gu4ecnm2luBoIUdlqEVahxvGNul2DRqewd5MnzBQ2J1rMjLW5MWaJAzj28y5x/Ocb2voSuxcV7Zcdu3Zij8riMNRk7dmuT4By6VWHOBYsZWXr2HvLN6JE8J8Vmdsd5uM5TKS7HFbqcnqaoY9OcG5jSK1ns1iT0VXIKvDkC04fMs6H3rtAs/V0pQsKFsuI1ZAx9NxQoWrbVhvpigYAWXLQR+OXcAOmqNc66qcbGSoWAFTiQBNEezON7l/VOemfIeZFATXtQQJNQ4ENdXYvjqhRoRVj0YtAWmbq+3YvTCp+xzO99mTiZjJtCGf4YapdRJaQGmsg6VGlDJdVnsWUzM1zGRARo84XNT4OxPDKEmNqBfyxbUkuWKfv7Njk4rlIiM4mO0zmepw8IYNJhKxm+QNOZeoL1/W2kQIhizohQqXOiZ3lHroSrzv59saSS2iaMDdQz5DVsQ9wy4JDZ7a6seVtLvnqfkqI3aE31FIayFpPb7G3bNrkeeOj3C8KjGUkKAdW4XnDJXnq3G19WAuxUxa5/Ydy2S0kDvLPS62FVJDPjuzgk8uWFiqZOJAiz2ZLmcezSEqGcxsxCevxY55ZVNy6y2rJJMuF04VubUksUyfmWQfISQv1kKqnkI+36P98DbVvsViB47Or3CyIaiku/i+ypAV8c5Zl8iF1+9Z4JPXhtidThNKwQ35WH/UC7TrXQQqB3PxrH/Dj90RG57GUleywDqb/RAzHyEjwUo/rkIPT7Qx755kyPTJmB73DXexVEnZchmzQz582b/u7Ci53IrPj7qnogBbruCxzQzyeiRBNwCJYMdtTQ7Ob1CyFJ5uVGk5JqM39snqATvntjmS7zKT6nNXehJFwJ5MRP9qQNPXeGB2hYQwiHzBSjcRa0YveHgRGErE/zo1xpGZNYbt+J73dKPODfdsk9ThK2sqS+s59uYkv796nrdNxWHPb5+ukdGh7gkWeyoV2+EVpS5+oLLUTTKd8NmV6eBFkEq7HDi8iZK3uLkkSOshPzuX5I7pVZxQYyLhc+vOFR6o9FEEND2JRDKXtkgbHum8S/WajSYiHlscZS6V4GA+im3JkbzvW8OM2y4SKBshc6mQN5THmM9qeGGsa5rSc9/VM+LfNP/VUOB7WQb8EA5uXNfl7NmzjIyM/KXf02q1eOCBBzAMg8997nNYlvXXuIcDBgwYMGDAgAEDBnxnBlbQ3x9/6wc373vf+3jssce4evUqTz/9NG9+85tptVq8853vBOIcmxMnTnDmzBkAzp8/z4kTJ1hfXwfiis0DDzxAt9vlwx/+MK1Wi/X1ddbX1wnD8L/7uf8jvtZcZmdWYyYtKFqChPbn/d0ZQzCTtkhokttKaYZshSsdGEvASjfi0vVZm24g2XLioClLFfzTyaNsuSptH7Ydi/nRKmdaNqoScbXTZ8T2EEg2HAsnUnj9uELG8NG0iKqnUDQiSpaCrcY6GhlKtPE0lhqRHXc5uTKEmQ7YcAyGLZe8EfLv1j/KWg90JeLA/g2IJEeLDlXHxFRDdmbj8LpLHYtGNcFiJ2KpmWYi4eBLwe5MxMlmGyeEW4oB645C19M5W8tzYz5BRpOs92MtxxdWezzdWeX14yqdpzrsyLYomi4XWynKtkM67/LkRgmBZLVvxtWHnsWulMOoHedgkE0QSEE+1yOMBE9thtyZnGXM7sdZOpk2WctluRsxktA4ZuwlO+LwyHqBc02JrQnKu/v84UIKfTZNwe6T1iRuCOebcOrKMMvdkIrlstxJ4UcC+3p/d0r3eGyjz5CtcM1/hksP2ahqRNZ2yR6AxzZV5lKS000dL1BJa5LRhMOhXJsIuLWUYnk1hy4k3Rc6WGrAubaBKiBnquSNgISqcbWTxFDgK62L9EKB3DmLrkj6Z3s4kULKdAlchWHLp+FrtPy4Z/pYyWcqrTKTdHFCheWwzldXPd6y7xq6Ak/XLKaTPS62UliKJDUZEbowmm7zXDWuIJqKpGyGLPZM9uQEh0t1ztbyPNa5Qs6QuBe6HB2qstI3MLWArKHyjY2I/bkWpV0OOT3ACQVOpLDRj1jsxBW7hzcsvrYWkNBUAge6nk5Cg4X1PDVPJ5vvMZrscbKWZ9R2EcBPTnXouAaKkAybPt0wziNyQpXJYpPdOQV7RiNnxCF5ugKTSYmuCCbkOB/Z/ihNH4aP+JxeKWOMaqx0khT0kK+vDiEEtPsm9wyHtF2Du6ZXmUoJmn3ruo5H0u8ZpHYKIl+Qt/s8tpXAMn0eWvX5wlKFV+5eZCTV5eiQxpAlKU73eaJ7hZoX99LnDMnrM3tY6hus1DIULcGRksJYAtY6STQlzlLKG7FjkSYE94xu0vZ1bC0gY7pxhUGBm3JZal5clRuzfUYSPT73lSkmkxI3EqQ1yXPVLCcaKveWSlxsSR6opAm2QvxtyTObRYSIndH+wW2Xudw1+dpmkse2EgzZsDun0g0k44keW26subALIfdWqnR7Bl9dGeZ4w8QJVaJQYXSkSatmMZsWnK/m2ThtE0aCL26vcXtli06gkDFdgp6CpkQcr/cwFMCPM1Xmc02GbIUIwde3axRMiaHCZj/WwyQ1QXtVxzQD6o6JguTTC2WU61WfQqLPG8drXGvHYaQv1voopsDMRjxXlexI+WgiwlAiJgpN/unicWbScTXSVCSFRJ/P/tEYvbrB3lzsvPWPrz1J3giIJFzu9Min+0gJecvh99ZOsisbX4fWHYUrbcm3Nh325lrMJF3+5WfnOVstQL3L1Y5LVo/3e2epTkKNmLmpiTx5hdRkgKFGBI7Cta5Gab5PP1SJfIVL14o8vBqH1Y7ZHv6qy6Wnc0wkJFoiYnJ/k4QWsLBYwA0VckkHLavQDdS4U8BXWTmT5u7RTbadiMXrWs3fWVzEUuNAYz8SjFo+u9IBT24pbDpgqRHjto8uJKfrLkfLNivdCEp5qm5cFVZUyVLfYK0XUTB8srfZtH2d8aTC1a7NN09OMJ1wEQJ2ZRXGkypFM76u+K7GfTuWmc42eXCsw8aVFE1P8LZphw1HIDTBSKrLZt8G1yfoCd48BRu9uBJqzCYIfJXL7TR1P84y2zVSpRuo2GqsX1vbynDxagldieiHEiMZcrQYoesBowc61+/PPi++VCE9F7LcjZBSUvfia+bbZ6o0fY1VR0Mh1p11A1jsCVo+ZPWQj239Pvkoj5SgJgSaGeuLTjfiawTE11BTD5jJNcnpIQktoBcqvGHcYtiONbO3lODZmsqudI+aF29/PuVzR7nBqBVRtuBTCxYykuipiCFLcnexxHovgVI02VWoE4UCSws52UiyLys53miiCXBacZUyP+/yqlGb6nqS+VyTshFQXU3FQdtCsifTwUgFVOyIU7WQXYkc6liKjB672rmRyu60w4/md2Orknag4oQa39wION8IsFXoBxojqbgjoWB49EIlzrcKBIsbOdS0Qv/FDqOWTzeIdUuKGrHWN0moIaoZh+nuzrZ500SXmbSKE0q2ejZeX+XxpQoNX6PmKdxWkjihIGd6pA2fj/7UVZww1vK6kaDqxY+6qhBoimDbiX7gBwFSfu/LgB+CnJvl5WV+8id/ku3tbcrlMkePHuWpp55iamoKgM997nP8zM/8zMvrv/WtbwXgAx/4AB/84Ad5/vnnefrppwGYn5//tm1fvXqV6enpv5kvMmDAgAEDBgwYMOD/9Uji1tHv5X0DfggqN5/85CdZXV3F8zxWVlb49Kc/zd69e19+/V3vehdSyr+wfPCDHwTg7rvv/o6vSym/54HNPn2M9b5ksx97//tR3IcaSmh58bC65UPRlGz2I6ZTsSZgLKlga4KWLylbcK0dUHcllhpXcx6cWiOlxT3SZjJk3YFG1+ZQ3matb9AP4StrJiktpGAESAmXNwpsOZKCEaErsO1ELHQkZ58pEW13uWNuBb8V562YowqrjooTxnkh7y6/k/srDpfaSawZA+drK9Q8jVDGvcq2ChPZNpGEP1uoMJJQON1MUvUMFCQTtsffn7fRFUhrIUUjoupYsfOYAU9uSQoGnG8JNsU2e80KoYT11QxdTydC8B8uOyR1n+2NJDcWmkgEX9tQ2XKN6zPNIb1Q0PIF0bl1Gp7Ac1WWeglePx5rFRQhSagRCdvj0wtlhuw492Q0obK1kKJgRMymBTMp8LYFv7h/jWChw+Vmhj9Z9NEVWO56nG8nuOTUKdsOiz2Th7e2udJOcaQI670EuzI2Anh98kdZ7qR4fLlCz9ORTsR9lbhypSugKvGcUdrwCKXgckdDV+BkLUdSC/mDp+bJmB5jdkgngJQu0JWIV1Q0zrd1Ttclh/U5TtYkotHk+brGHz05hxcJvrk2RBgoKEBOD5hM/nkS80wyxFYDSqbPs43/wO3DBrkbBFUXa5SYbQAAuPRJREFUbik4mGrIkaFtrnYEYU/y7EtjaFrErqxgJKHwq4sP44QKLzVVcrrk8Y0idV/lnZVZGp7g3zy8g7pjIoCmY7LW95hMqaiKROiClb7OUk+w4WioIq5ibvYl//j2y9w2pLMzKzh5boRSssd6H1Z7NpqAS0sltvoWF9oahhKS1SU7R7d5aK3Aat/EiRRWesRVTddkrZ7mdaN1+pdDap5GzRUMmSGX2oKNfoQjPf63iXdiKgJ1Mst4ukPUC+mFKqYqea4a3xzO1bPUPJW2b1DY5dHyQVUkZxuS6aTE81X8jZArVwuMHujwsdo3cVydsqXHuTzFiL6v84nVVWaTLkFHcF9mln4o+O1LLXJ6iK3G14Wqa5LU4lna149vU/UM3jHjIxF4Uey4WDAlQagykW2z1kuw2klhaiEVK0JTYKkrUa+7po2WWxQMnzftXGK5Bw+tSnwJDVded1VUeHLT5ZGnpzh1ZpjZVA/P0TCUCNWIePOuRV5VaaMKuLXQR1fgYqdL0zP4kbEOSQ1QIJ/qkS/0eO3sCjflHa50DRQ1ot2w8H0VRcDDGxZhqLDlWPzYcAXb8snosabp7JUy/+iZDAdzCc43PRb/LHYetPWAL1dX+PJalpP+Q6z345tVy48w1diFrNM2cV2Nf35G53wrzf2VFut9GEl1SSY9hJDcWBTkTcGPTlgsvpDm2vkcowmVU02Djb7NuqPjeRqvTd2EE8Kqo1LzNNxA4769i3xrYYSEGp9D/9fMMW7Zt8y1rsZ0wsZxdF5qCpxAw5YZdCHJ6ZLntgOOFEFXFK60UwSR4I5Sm7LlEJyrclfFpBeoNDwD19M409JRkgrn/khFTas0XINGNUHJjAjaUPcVWjWLj13NMZxQWevBUs+gvazjBBo/eeAa58+W8VtQTvVY7SZIagGXqzmqL+mcb2s8vx1yqqkyNNqJz0chyBuxluE1uWnKZkDL08nqESktZE+2zQMjAcM2nGqaWErEqmNwbMjEjwR7cgqsbzOViFAFOB0NL4IbC1C0HNAU5nNNQgl3jW8gAV8KrrT7148/qFgRjzSWMeyARNFnoZnh0J41fvvUCF4kGUl26QRQu2CgKhHz+Qbu8SrV9SQ7My1sLdbdyCCi1bH41DWBG4ITqLiuxhdWFDQldhoE2OjbjKQ73FcJ2VhKk9RCPE9DMRVW+iqfWc5wqZPAWYl1CzMpwcNrkrzpUs51uNCOM6vcCA5NbTCfCjmQDfknF36Nk02Dvz/6s4ybSVK6QuRJzl0t8+iG4Ggx4vSlYZxHFnli2+Kry8MYRqzJCyNBwxd4kaBgSNb6Nlk9wg1jfepL9ZDJJBwqVRnOdljoKTyy1iepC049UaK6mGDTEcSKFAg3HIZnOzx3YZTL7SSjto8XQV+4OJHg6WsjuJHA3RQktbjTYrOboBcq/J8vVnh1pcueYo1QCjaX0zQ8wXAi1q6JrM2IFfHASI3L7SRBFF8n+6Fgta+w5ZgcKGiYqkI3gN2VbeqOhVAgY3oowHP1OCPuSieFsxbx2PFJhiwPgGdrGs2mTUKNuP2mZVYXclzuWOTtPoFUXtaS7BiqsVVLkTcCTjYUMnqc5/Ynyy36gcZm30Yf0fmjBY2sHtENFZwQntjsYKmSjh8ynxE8FTz9PT3f/U0xqNx8f/ytH9wMGDBgwIABAwYMGDBgAPwQtKUNGDBgwIABAwYMGPDDwvdqDvCDriX6m2JQuflr4KS/QMkUbDohukIsaK3GgWIfq3+BhAYXmrH1446Mgiqg4cUmAkEEdTfikY0mJUsjawi2HTheF0ze43GiFgs3l5eyaEKw3bf5an2V5+saVUeS1KEXqAghudROsuWa5AzB+baGH8Xtb+NJwVI3ibvoYyRCjl8Y4VLXQC1aHMr26QQqj6xJxhIwk2kzk+oj3ZAnnhvnsQ2FDTceE6sCCkNd9me7VKyAgik51xL4keDmYpt2oJLRAnIGnGmbOJGgaDncffMibV8wk1Yx1HifjiYm6PghlzsKuUyfTy5kufltPX7zxliw/8xGCSFiW9GuH7HqqFxspmkHGldaIb9++f9g6wlJIOHUevm6FbLPfAa+vplhua+TLrj82OQ2OT0OVTyU8/mDSyN0A8GoFSElvHBuhL6v89Ajk5hKxE9Oa2w6Pu+agxvzLY7liziByktNhREtwze2DPqh4IWGxXovYKETogpB3nTRFUnbM1h4JhYp64pkPhXQ93XagWCxneKZWoaWL7nWjkhqIXkj4MU6ZBIO86keIzZULNh0DP5kuYEmYCSh4IQRRUsQffUkm/0ILxLsz3bphgp2xsdQIj5weZUzDUFOj6h7KvOpPrNDdQIp+PsT/zuKAGFrKAJsNWS1lyCb7VN1I1YvpPEihWo7QUqTDFmSt2YfQBGSo0WPQ/k2STVizPbYcuJjXBfwYiPNTNKh6poYikIvgJFyk2vPZrjYFjghPLYRsdR1GUvAVApUXWKrklbsZs5nro2QM2BPoc5ctsX5Voot16BiRfiREn+fRoI3TGzxbC2+hD3SukJCg6erFnv2b5EwfB56cYpzLY1RO+JaV+V4o8lSz2FPOkvRlJyoOUTVHsVCl8vPZPEjgSbiNrzSHpebRzd5x22XAPBrEinjlpc/bv4BAjD0kN/+yg7md1cJ2vD2/DHO1/IkNMHfu/0izWWTh9YKvGl4lJQWsryUpWLBF1cc3jlZYCrZo2DG1rtly4mFzgoMFdsYSkRaD9iX8Wh4gqojWevDp66VSSQ8bp5ZYzTVoePpHMp16Piw2nPZ6PncO79MdjbgTMtm6F6NWwo+rx+HG3Jd5jMCTfx5YO4T2wYbjsWWa6LpEeuOjmpDrZXgxr1r3Fnu4YQqj2/0mU4kWe2b7J/e4FxTIhRodm1ydycpzjtMpjssdiE9FbDVTtLsW9Q9+Lk9a6TSDnccWWahI9lspEhrAc+vDRFKBUuN215uLhl8bmEETcBCI8PbR0d56/Qm7xt7Kxu9iF4It5ZVElocuPvNtSG6nsGtZRNLjRhKdtmdidj1Bo9k0aMfaNxabHFDziWlRRzfLvIbJ4vcVe5zOO8yn2vSDgRdz0BeD1o9ku/xxJZC2nYxMhENT0OI2JDilbPLaBbszniMJRXajsmQJWh5Br8+P8pKP7ZD3pHVOdsUZHSNcy2DqqeT0AImSk3OPJGnYoZ8YdVkV77BlWYmbjveCNnq2QhTZcdwjZ6nM2QGeF2VSdtns5XkjnKAQhw1sNpXUJS4/yQ9E/KRyzn6DYMwEqT0gLlSnStdi5fWylxtSw4UVAoGLC3meHajTEYHS4VQSppeHHKc0EIiCboiGcp0Wejp+FH8kPBCw+LeidiE5xO152j7gq0PL6MKyR0lj3ojwY6Uh6FIdDXCO9emMtoiZ0i6jkHd0yiZLiO2xel6RFKVVF2FV6THOXF5hO2lJGfbNloaXjvqMJ2U+KHCkAU/99gImazD5N0u7WUdXQ8IIoVQSmqeINx08UKVf/PKJRLXp2tTGYcfnQjxI8lKD+YP1HiubjJ2Q5dhy+Mry8PMpLoIAVunDMpmxI25gIIR8COfHcZSBZfakr8779L1NU4sD9P0BQezfTYdEIqkHSjcMrTNjfmf4VDOZToJwwkFVRHIAHbPbPGv33iJ3dkOw6ku33h6gm0n4qZCk4tbRSw1YqmbpGjErX3rjsINlS0CGbf39X2NwyWVPek+ACuNDN0A7h+x+d9uWuSpapb/79MVckZsOlQ0XU5/q4R1Q/bl+8+ljsHVjuBIaoh2IJhIdvnYYoNPH5+l5ilMF5qYakjeCLmtJJkr1an3bS60k/zhlQoAxxtNbE0g6z1MRWKoIbcMbeNECgVTvmyLfa1rMGZHDNlxa2xu0mUs18KaUjDUkOfrKlOJ+HngvzKR6qIp8b3vhlxI2zHJGR5qErb7NufbCvW+zXLPZK0X0Q0iSrtdDDXEUiPuHvIYsz3GbJ83jGYxlJDdQ9t4Sz4/M+dgqRHdANb6cP9IEjcUvChPc6kleVvh2F/5s99fJQMr6O+PQeVmwIABAwYMGDBgwIAfEOT15Xt534BB5eavhTuT0+QMSclSOd+UJDTB/aMqlgrvKb0eAcxldNb6saWqqcRhmWEEQkDeVHjbZIaDeYmhCBKa4LZSiAwlbhhxY67DH18rU7Ej6p7GT46M8khzkX05gSYEp1sGTqhwW2ULVUgmExFlM8KPJDuz8azKdLpD5MHFKyUqyR5vnltBRpJICvqhym1lhae3fJxAZarQoHspnt17+3QfS5EYRhzQ2KpZ7J/eYCLZRwA/v2cDPxLs37fBraObPFm1iSTcmOtjKFB3Lax9KU7VHTb7kpwesTMjubEA+/IGK92I4lHBbFoiJouMFZtcaGTxIoVStsvOmW0OFVSSquQVcyt8Y8skZSh8cMevsrCdQxOwq1DnTEtn2O6jC0lChbQWYc8omFrA1U5sy13zVHalA27MdxFC0gthrlTn2a0CCz09rrwECq8YNiiZHode3eBwPiRrufzSkQUOF3WOleLKUtGQzGV07hsRVBKC3fu2mEz20ETEqWqesWSPyy3JmqORS/a50BII4I5yg/m0ZHdWsNzXWe2bqCK2pNaViJYPQ1bEVzcM/sUhQcmMmEuFvHpMQRHw0KdH+PFJn7ccuEpS8xmzPcyR2HTiyTf7hFJSsXw+tehQTvSx0z6rfYOyJfAj8K70eff8FvPlGqqQmOmAO4bicMvLXRP1uiGGH8WBm7NJh1vGNrDUAEuNmEi3kYChgqbEx8hYqkvO8LhzWMdUQbciVCXijnKAqcJ75j3uqlicrku6geDi1RIjVoAXQtvXuCEXi45rPZuVTpJ2oLAr02Z3psdSzyKUgu2ezeR8g4kEdAOV2+wZ9mQibi/1MWdMtns2WT3g67VNnOvC11EjxVzKZi4dV0qPlk28aw5mOiBh+gxZscHDW+aXUYsGueE+xpDg2J2rPPT8NLeXfYYyXX5+5B3UPUF5R4+fmNnA3pfkH3x2nrvKDm4kOJyPsEYUzq2XKBsR+zMeTV+j5+lMJwPeMRMHBDuhhi7iitVYscViJ7aeX9/OsK9Qp+NrzKa7hFJiayCAj1dPopsB2UOC8akG5WSPUqLPwbzk2JBF3tTI7QpR8xrv/akFRCXLeKKPrkh2VKqM2yGrvdjMYYkN3jZdY9hy2JFpYxcDDuU6RD58Y72ElobRVIeK3WcmZbMnJ5hN9/BdjQdGQhbPZPn6ehFEPFOtKRE35kPaCxoTQw00NWImKSmNdcjulVg35hhNCPxIwVJjm9fhZJeypbE7HVs231upsjPtsemaVMyA0akGR/IuQ7ZCwZAkVcmIFZHQ4IH5ZSqlFkfyDiktZOJYn5mkizgyjzWrM1Fo0g80snrAqqNyuLzNHUOCkuXQ9lW2egnSmqTumIwm4iDk8XSH1495DB+Mj6PxhIsXCRqeoLA/oLpoowCWIqk6FmUzYtuN/54jdoQTKSQ0yc6MZCwZC94jCbsPbzP0ahNLC+mGCkO2YKmdph8qjFoR9WWLL68nifohqaJLGClMJLtY+TiAOJAKrzpwjdFEHBvw41NV8ndazE1Vkb7kXXMNzGTAyFybkt3nwlaBPZkekYTXjoXkdMnbdy0zs7vOv7nUpe7Gtu5ZIzYL2XB0TjeTbHkqNU9HVSNGrfja9urRGl4kKI50OduIeEP6JrqBZK0ai/Lv2LmEroZMpzpEEpbaKdbOp0jfk+dQ1sELVG4eqlJO9tibE9xSigXoQsTfRRURv39mlKPFJmtnU9z3o+uUzYCqY3GhKfnVg20aDRth63Q7Jvlxh2eqWW4sKCQ1ibstabkGmZmQO8sNJkfrCAWW+zp1N6DjS9S0wu2lPvrNo1xo27xYjyMVbNvj85fHyeoROzMd7jq4yPt3Gcym4U0TLjO5Jk/XUpQsh5sLLkUrDjJVVMmOVFxRuSczzrm2ye60w4FsRN0N8ZoKqUMG9qE0M0N1xva2SekBQ7ZCN9C52rUoGB6fW9FJqBFrfXh4axvX05hKOEQSFjspbFVy845VRuba7BjfRhJXIfKzLj+x7xrvmXcZswIqVsS+A5t0fQ0xkmM428ZWQ27I9ZlPS7pBRMUMqRTaPDiSxwkFD1TqpDIOectlT77B2x68SqtnUXVMTjZUXjPSiMOizTSWCp2nOvzeter1GASFUArW+7HJykYfVvqx5fKBbIgi4PyLRfIjfdTRFJXRFkUTfv3K6sv3XkWPq/peqHC5E1dfn67mOLRvneoFi5lSnVdV+hRTPTqhQBFw17CCvq/A+L4W4+k2e/INjt20jKlI9qRdRvMtClMOTz4/zt6RbV6oG1xoSoau3+9SmuTNuRvJm4IR6we7gWtQufn+GAxuBgwYMGDAgAEDBgz4AeH/LW5pd999N7/wC7/wV77dweBmwIABAwYMGDBgwIABvOtd70II8W3L0aNHv20d13X5+Z//eUqlEslkkgcffJDl5eXv+7Pvvvvulz9TURSGh4d5y1vewsLCwne1ncHg5q+BggktX5DUYEdGsCMdYCqS5R7sSIds9CNsVTCegKVe3OLwuY0t5jNQtgRb/ZCy6bPUU7BUiSLgtbsWOflQjn15lXXHYsyOWOwKXn10gXuGGzyQm2Tdicuud5Y7nG/rBKHKfccWGbU95lMuRROmEiFpXbL7FXVWF7LsPbxFZbTFyDGf3um4zP7a/deYTXrcO6IRRAqbrRReX+WuH90koQXMpnooSpyXcWK9jO9qHHl9nU0HZu53WXdVVi5nqRx2CCWM2hHzxTpZLUIgCbf63D9qsj8nGbdddqTi1Pl/s/Fp5jMKyu4K+zM9ojNrXFiPk9Nfs2OJZM7D6WhMJEKe3pYkSgH3DjkcLUa8WPVI6j6BhGbf4v7hFmNDTSxV8tM3XkZXJEre4sXtIuNJQVaLmEm6PLB/gYM712kHCqGElzZK3Dm6wd998DLzpRpFI6BkRIRSQb1hAlsNkVKQ2+EzkQh58JVXmUj4nG0JRu0IPxKs9SLMSZ0DBzY4dF+NVx9bIKn7zGcEE7ZHKuvS9iU7C3XCSDBu+1gqvOPIZXZl2vx/5hosn0xTdU3KpuQ1c8vcPeSTMT3uHYszI3RFYquCtO5z8/Qa2VtilebNE+v4NcmmqyM0+KdHFylbLp9+8wp+qKAaEfOpPpOJkKQGF04VSVgeX7k2xv2vWsaaUCkaAcNHfP7uG68wUm5yc7HNw2t9XjXSwI8Uyntdfv9iAUXA+I4m75ipMZeSTCViQbGmRBRsh1E7YE8mYnsjSTrlsumq7MlE2GrAfMrnlhK8a8cqO2a2MZSIvAl33brE0YPL3FbscOj2LXKGR8kMKWc7OKHK83WVkw2FhBbQXLN49WgNgWQkoTBs+gzZDmHVox9q3Lp7hbeOlklr8VTWK0cEWUOQ0SQJLc79AUgcSDB2u0fG8BhP9Bl9g0HruI/fU+heE+jHJuLz2vDxfZWd6Yi8ITFvHcYJNMSeMQ4WBDfPrHGgWMdQItz1iKlsk/l0j/2lKjuyLUrpHkktfDlk7XgjwUTC50DWQ1EkhwoqVzuQNDx0PWQs1eViK4UXwqFcSNmC/2XkAFYxItjw8Xsq2Wyf49sFVBFfJ3QFZCAJGwHqZI7gpQ1sLeC5msZ2I8mY7dD2Iw7mQt5RmWTnviqHDm1QzHSxXzOFE6o01yx+dOci1csW2z2bb2xlec2oi61KhlNdfF/BDQVzr3a5b2SbK38iWTufImF5mKqk2bRRtYipqTpTCY/aehIlayC7HkkNxgotVBGxM9dECMkDIwGGEnEoH7HnDX2GLI99+QYSQdBXyBkeNxVCymZAKCGhRuxKRwhFkpkNuWVuFUMJiboRX1m3QVFAVbDsgLQetwRaimT27+d584Gr9AKNnBEQRAJLkVzpJCgYkh2ZNlebGQ4MVVGzOtKPyOgeu1IunUAQVCOW6xn+4KrCzrTH7fevMWb7DFsuGT12w1jtK8wmQ6YSPkeLHrYqOVyqow/riEKK6UMN/AjuHWozkW7T8jWagULl1To/MtYi2AoJPQUnUEkYPtXFBKeaOluOSeqWJAUjFuPveWUTMVnEzEd4Ddh/2zZGOsKpq8zd3WH3cJVeoHLD5AaRhE1XwU74GBM69w5l2ZkVmIpkMinZl/HYme6xKx23HK/2NfqOTtn0GLcjiukeu9M+XlflwfGQgikYtSFlxm2c/xVLC+kE8bm52k4DYKoRCcNHUyN6nsG2Cxk9YtiK2HTi4/Xw/jX+0eEFpip1zlYLqEfneMX0KlXPIG8K9v9Ij0dXh1j4kkIi4WEdSFOxfCxVsivtoehw6MA62+dMNCXCzEWEvsKDU2vcXDaoOiG9Rbj7RzdgtMxkwuVds22u9UwyYx73jMTt27v3bmGWBOb1lrxeqFLv2xSNiKzlEkgFSwu4peCzupbleCPBF5aGmUxC2Ygo2w5CSO6pKNS3EhBERNU+ihoRduG2t7U5lPOppDrsz7b54lqGB8d8Xmrp/Nh4kzeNFilXOuRMl9mki6WGrPQU7JG4ferUtWFKJrxxvINXE5jJEDdUyBtxhpr95t0cuWkNug4jr9E5MFSlE6i81BSULAU3EmRGPN579BKHC21yCQehgKaGpCwPJaUSXm83O5wPsfWAsQTMZlQ0Ibh0rcTPTxcBuNDI8odXBZvXjUkO5iN2pyOudcCJBNOJkLGhJqoNuAHNqo0fCT4wV2HTgZ86donf+eoOCnfFuXcVK2Aq2WNvpovQoNGxWaplmc01GL2pz9Fik8MF2HIFaCqKLahMtjCv5/ntzDdQhcRO+qgJwXyxjmEFjNgRNxQE08mQsilJapLZVNxq/V/vCz+oRN/H8lfBq1/9atbW1l5evvjFL37b67/wC7/AZz/7WT75yU/yxBNP0Ol0eP3rX08Yht/3Z7/nPe9hbW2NlZUV/st/+S8sLS3xUz/1U9/VNgaGAgMGDBgwYMCAAQMG/IDwvepn/qo0N6ZpUqlUvuNrzWaTD3/4w3z84x/nvvvuA+AP/uAPmJiY4JFHHuFVr3rVd3xft9vlZ3/2Z/nMZz5DOp3mfe9733dcL5FIvPzZIyMj/NzP/Rzvfe97v6v9H1RuBgwYMGDAgAEDBgz4AUF+HwtAq9X6tsV13e/q8x999FGGhobYuXMn73nPe9jc3Hz5teeffx7f93nggQde/tno6Cj79+/nySef/O9u8/3vfz9f//rX+exnP8tXvvIVHn30UZ5//vn/4X7UajX++I//mFtvvfW72v/B4OavgZobu0tNJyVpTdIPFRZ6cZ5NNxBYqmCxE/uvTyTAl/D2sRKmEufcREDV07jSCugEkNYl+cOC6dEaqz3YkW7z02+6xmtHuoQujBZa7M+GzCQlO9I+lhqwN+Pxn68OYcwm6IcqgjjXoB8KwgiUhMpSO41QIDErkF5Ec9NmoWeS2qvS8DUiBKqQfORyDgBlPMe2azKRb1HY6bHQVXBChfNrRTBU7iq7EMWub6YRoBYtJhIRo5aPqkS81FKYLTY4+bUC47ZPOxA4oYoXKbzUFLxCf32cU7DVIpAKVx82yRgempBkxj1qmwkeujyOoUTMphVkBDnDw1Ai7qro7L63xbgdsWPPNmO5Np6rUjACktOSm8pVpBcyl26zIxUQSLjzyBIA1pig7gmcUOBLwfBsB/3GYQoTfSaSfRq+EjsitXvYakSp2KG/KjiYa6ENmbR9lWOlACGgFwo+1/lTvBUfc8pAHU1j7k5xuZkhrcctNc9fGqWSEJTHOyz3bBpeXEDVMxJbDzh4d5XtXiLOmzB9DCvgNbdcA2Cjk+R4TaEfKiRUiaWGaHqI7Af8y3NZPE/jzEtD3FxscuLUCJkxj4utJPaMxmInhTWpstSz2HQUHl3z+dRCkZVGmldUtlg9bqPYKjVPQxgKSt7ATIYktIBXjdokdZ+N685Qrx2Jf+9+RyGTcKh5glsm1xkyfTa6CUwj4EJbI6uHnK/lye3yCSJBQo2YG65RsRymEi6mGWDPKEgpONsIMcYN/uDJeZxQRc3rKEIyl+6Qzrtc7li8/8YlsgbMTNV4fHEEKQU7Mx2+sr1JzdNI6j6Nizo7SzWSe3WEgEDCUlcSSoEqoBUIWr6g6Sv4LYEop1BH06hKxK7JLZCSXsdgcTXPC1dGodnldXdfY65YJ5fr0QsFvgR0jYdWi+B67Ei5KGpE0zE519ZRTZi8P+DIsTXSGYfLzQz1js3TVYvlvspLDcH/ufIVLnUM0loQn0PAO6bbGEbA1VqOumPyu5ebTKXi48qP4Mf3LBL24elnRlndyOK5Gk1f5fmawmI3zrBaO5Vg9cUkwbkql55IU3ctDuVCTlTzbLomZUuhGygMmyH6iIZWVCjOOzBUwFQjTq2VKRwMeWF1mLzl8lN7F0hpIWt9BaFIdD3iTEtDpE0qoy2y2T7pjEMQqAgkF+s5Wg0be04lAi5s5/Gu9Dn3OZP9GYfSvrjlpu0aKEJS91SeqcXngEga9AKVuRvqnG1pNOsJ2r6OpUY0fZXTDcGqo3GmqSCEREkoJIZCeoHGc08M84qyS/j1lyCM6Pd0TC0kq8fnJtkk6R2Spq+TUEPOtRNc6qjsz7VIqJKWZ+BLQRQK/HUPf81noZugaLkcKbg88dw4E4Umb54CiUCbzVEyPfZNbWKqIf1QMG5HzKa6REDD09iX7ZIwfJxrPnK1gT6ZYNQOSOoB2XSf6WSfbgDC1Dh0aAN9RGNxKc90pU7HM1isZ3n3zlW8SCGq9snqIb4UqJNZ5JUtmksGm8tptKkUxrSJ52gQSaJI8MiGTf5G8KP42FneyBI5Ee974CK/cvHfkFAjfnf1JR7f0jHUiJFkF0OJs8KajkUlGR/rja7N3TMrKKokoUYMmXHjy/laPnbM2swQRgrnGlm2XMFIqkskof5Qk4WuharE6692ExRNkFIwagfsTEssRRL5gnbHpN8z0JUI+g6aHnGmpaMIUIoJXje/zNBkh/Soh9BV7t61RCThStdAzwkUHX7tuQlCqeDUVaJIkCv2aPtwc1mjXTdRpgvQ7rLhGEwUmkwnXNSEYOpgk1fuW0QGsH3OpGT1eWxTZcPR+FfnMnEGkO3RCeLHpYQaYes+F1uS10+u0wmgaPo0XIOVvkogQdcDnKse/kZAFCpsLqYQoznqnkom47B33yY70wFOpNDwJH6kMJP0sUbgcjtN1vDYdnWGLYlXg+pigrlSnXE7RFMiXjg3wuUrRaYzbdqBRhABuQz6sIbzzQ1E2iIKBV6kcFMhYrkbUvcVzL0p0q8sMFVqsNRMs7yaI1/oUevYdM8GbPUtjkyvcbWr0vV00hqM2RGBlGQth2HL49b9y4wnehwb1qgkFFZ7NjNJl1HbxQ0l/35xEzcSrGxmEQYEKz1KUz1yhmRHts35ho+ahPuGWwQrXWaH6ozaDroSYagRp04Nk0k4ZEyXWs9GSWoUEn26oeCleoj3/CbuhsSsKFyt5Vi+mMULVdqBSrNu018T9Fydja00u9Nxe3QoQRESX8Y5X0lN0PD/vKXyB5Hv1y1tYmKCbDb78vIbv/Ebf+nPfs1rXsMnPvEJvva1r/Ev/sW/4Nlnn+Xee+99eYC0vr6OYRjk8/lve9/w8DDr6+vfcZudTocPf/jD/NZv/Rb3338/Bw4c4KMf/eh3bGP7t//235JKpUgmkxSLRc6fP89/+k//6S+9/zAY3AwYMGDAgAEDBgwY8AODRHzPC8DS0hLNZvPl5Zd/+Zf/wmd84hOfIJVKvbw8/vjjAPzET/wEr3vd69i/fz9veMMb+NKXvsSFCxf4whe+8D/eZykR4jsPGi9fvoznedx2220v/6xQKLBr166/sO7b3/52Tpw4wYsvvsgTTzzB/Pw8DzzwAO12+y/9+xsMbv4aKFlQsSXrjkLVEyz1FHakAvIG16shgjuGJKYCpxvxoehGgkjCtivZm1PphQojCZWnqm22nHi7n39pmtvLIX6koA4n2D+5iVlRaLZtNt1YOFg2XQw1wosUbsi5BGt9NhyVK12Tqx1Y7qs0fNj4lspdD26wdcHGWw95/MsVdD3kx/ZegyB6OYfCjxTePtPCc1X8M9ss9Qxy5T5qycBSJbeObvJMLcXa12A+1+TsQyleNVLnai2Hd6XHfWMbNH2VC1sFigb0HIOE4dP0VQAudQ3Otg1mU+DKkJorWP6My+mmzeVGltFyi0sdk+aSwYmNEkOmz1JfpxNA5ArW+habroYvQT0yRUKLsKZ1VCUiU3a41ImF9roesviwxmbfpumrDJkBRkWl2zSI+hG9QFB3JU6oYE4ZyPUWXkuh4+s0fRi2XJY/3mLT1VnbyvC+h2dxQpXuaY92IPAjwYkaKAL+TvnHOP5CBW/RI9zsItsuLzZNTtUlq47B7bcuczgfYM/HWTq+jIWSLx4f5kMXS2g3jfOvz6WYL9bZdHX++NQM1rSOE6hsu2acqu0KVnpw+PUNjl8Z4ezDGX56xmG9maKU7FHJtRlNtwl6EEqBuxjgS0HYDmkGCte6MJvReefcJudbKTa6SSbfqOMteziRoPY8bH8zQtElXqhgKPGxkNdDlo6nSGghoRScu1pms5XkXCOieLMkb3qEUiFX7JPWYcvVmMu2ULM6FSvACRXstM9opsNiz2S9kcZdDlnu69wxpBDWfX76nkucbVlUn4H56SqqiFhcyjOXcijtcSmbktQBna+sqXxlPU/K8PnZ6QK/dO2x+Lu6GrnhHlE74E+WG3Gmw0jIpxa71FzJs1sB39zqcrwGekoi6z2ieh9DDUnvVVj7gsfFrSId30ATEZ3Hqug7M3Qcg2bT5rlt+PKKR/+rK/yjn13B/+YCecPn0fMTJAyfF6oO50+XUHZX0IZMul2Tm8Y20NSInCE525DcM+zx94dexRsmNlntm0zmWzihwNJCHFenF6iMpju8bbyAF0HTjw0vkkWPlWs55ss1TtWyLFaz3FauM56AmRT84dZFrtWy/Mfzo/zxn03z+HqJ5+oJMnrAXLqLpURkDfjiiseVrkr/asDq8zbutoDtOgLJfL4RX19KVXLJPumKx39ZSbDRj7hczfGHZ6bohxL6PunbU1xZLwDQdkyeqekc27OMF6igCM63TfxI4Ylnxllqp7jWM1EzGm1fZ366ihNoHBuu0nAlm65C6xtteqGKWtSZToacr+Z5oWFxpqVzrauyMwOrPZhNS5Y3ckTdiPMvFrnSNXl4I0PD0+idDwgbARe2CvyHC0XGUl1GrIDoqUu0Lwryhk830Hjl6CZ3lntMVeqcb6t8dSNFy9dYbqV56fkybl0hpYU4gYqpRAzZfTxP40pHY7WvIbseI6kuuXtSCAFrPdiV6TBdbrDa11noKVxoJ1htpfgvT81Sf9IDW+dMS+fJrSwnV4YYS3fI6JL6wy2MWYuoEzK3p0r+kMQJVDYck+HZDoYS8dE/nuZKVyeUEFxpsPIwXNvK0/d1/CttUASFPR5PPzREGCncVXYJqz7dUKFiRZQyXS4+nkEfUvnIgfdyeHSDn6vs52gx4HQjxWI7hSYgq0cYakgm4RABXV8nkfeQETR9lcWeoBMI7rt/CT8SfHW1xHbP5s6dS1SsCNvymMy3+IWvTtMOBOudFLYdmw+MWQHXeip+JDjdiGfPN1dTTL2iz8gxn9lck9anFmk1LTK6ZDIh8c/VKN8h6NVjk5T+Cw1S82CpkvNNiVo2uXomz54stD2dWjVJ8V4LGUHNjbsnpBREay2CJy5TNH1G3zNMKAX1izoygtQBnRfPjvChlyaxtJD/Ze82D84tM55UCaVgsZrFUiLansHZdnwNfvdci6ZjcaUt2Zlr0vB1Gh4s9wSpnAcRXDubw/NUbNsnOr9BKKHZtNGS8cNXzVPZk5Ws9G16gQIyvtcsdBNc62mM2gGby2kW61kub+ep+wrrfYtAKix0k6x1kzR9hS0nQj5+GnUyy/bVBO7zW2x3EyTVEF1IdmU13rF3AZG1wdQZesCgF2iUcx16HYOLrTQvXBjly+sJsrsj3jK9iRep5I14Vv1SMyAIVRZ7JtZsXBFv+YIhK3426QUqfqRwR1nyv80Vea4KV9opts7ZuBtw+uQQRSNkrNKgHjpsX7I52Ujzra+PkJt0mS3VSZke4/kmphKyUMthqCFuqOJc9ui4Jh9aO89UWsXdFlgTKkEzzph6qZbjiY0iZdPjqfUyVxcKzB5qsNxOMZ1tcqWjUXUVzjbj7pnjdYUhK6Lm/XA//mYymW9bTNP8C+s8+OCDnDhx4uXlyJEj33FbIyMjTE1NcfHiRQAqlQqe51Gv179tvc3NTYaHh7/jNuR34VGdzWaZn59nfn6e22+/nQ9/+MNcvHiRT33qU3/pbfxw/3UHDBgwYMCAAQMGDPhbhOR7a0n7bvwE0un0y4OI+fl5bNv+jutVq1WWlpYYGRkB4KabbkLXdR5++OGX11lbW+P06dMcO3bsO25jfn4eXdd56qmnXv5ZvV7nwoUL/9P9VNV4Mrzf7/+lv9vALW3AgAEDBgwYMGDAgB8Q/p9yS+t0Onzwgx/kTW96EyMjI1y7do1f+ZVfoVQq8cY3vhGIKyvvfve7+cVf/EWKxSKFQoH3ve99HDhw4GX3tP+WVCrFu9/9bt7//vdTLBYZHh7mH//jf4yi/MUaS6/Xe1m7s7GxwT/7Z/8My7K+zcDgf8ZgcDNgwIABAwYMGDBgwA8I///OZ9/t+74fVFXl1KlTfOxjH6PRaDAyMsI999zDpz71KdLp9Mvr/c7v/A6apvHjP/7j9Pt9XvnKV/KRj3zk5SrLd+I3f/M36XQ6PPjgg6TTaX7xF3+RZrP5F9b70Ic+xIc+9CEA8vk8Bw8e5Itf/OJ31Of89xi0pf01sNSVOCH0w1hPk9Yk7UBFVyCtRYwn4xDGuZRP24+41lWRQMEIGUvAmUaIqcRBUy8EX2K5G1J7Hm4u19ibbVF1TXrPt+n3dGQgudDIUjQidmckN+xZo5jpogi4Y3aV7bMmTT92h7oxH5LSJHkDPnNxHHU8w8idEdtLSdYdk+yUh10IaJyO9T9eJGj7Ovv3bTB8S8DWaZM37lyisWXTP+/iR4LyXA9dgX/63BihFHxzs0Ax3eOrG0k2LiWRUpDQIkIpaAeCi80M80dbbLkKh7IOhhL/rpo+rIg1TBUubuc5lOtx48QGuT0hh3Jdji8P84odyyS1gKQqMRVB6AtavkYngKttIJsmrQWgx2Fkqgnv2LdA/ZyOpoYYRkBSC4BY4yQDSbNrsXw6TTeQdIOIc20d57LHVz5R5OJCiW03duzZN7VJECj8q2sbnG1kedVIwGrf5t99ax6IHbkmkvHvLW/AumPxzAujXPxaksZxyf6MR9uPuHNkEzWvMmb36V30WeoZWIqk7UtsLWBfNkKu1nnfvgZRKDjVENhqRO98QMszaHgaRTMW7FkaKLsrVJI9LrbSFC2HK50kmazDte0cxeEup85ViICL50vcvXOJ/prC7aVGHDxnwtydsUCv42t4Zxu88MIIaS2i1bI4u1Zm7VqGjq/TDwWGGof0tR2Tm3etkNN9ntrOsNq3WXV7+Bs+VcdEFRGhL1jvC5q+YGJng94FD12RuJFgeTlHz9NxIsHOHVv87mM7WHfifuhTT5a4eiaPrsBnz09i5uMA1flDNXaVq0B8DnmLLg+O+5TNiPVuglAKfjJ7L5oSYdk+QsBTXxvmVPAI43ZAPxTcO5zCiyTnw1UKetx/LCVE1T7XvqxhWx5RJ+RfnZzAUEJuvmOdhBZw+VKJaKNLGClcrOdI64KSafDSqSHEjgqbpyxueeUGk8kelhZwtGzyR4sFojNr9M54XKrm0Y0QW/dpeIK5jKDmaVSsiMn9TU42VVQl1uOs92wyGYeZbIt8oYcQ8J/Wz/Pp1Sp+JFi5mmW9myCV86j5KpEU5FM9SmZ8vditTHP02Crvv+MSaS1kT6bLXNLjfNtkz2xs5elHgleNGpgKdGsmX14Y4czlIbyvXeNUM8XY7jbehTbDsx0SKY9r5/NULFjve3yrmuBHptc4mIvwl3uEKx12jG/z+OUxnEBlLhXfWgv5LrXnBYqAA8Pb9EKVqqdjqxHdswHrjsm3zo3hBfG5erQMSQ2eOD+OAtSPw4t1BVONcML4eM8ZEk2RDFlQ9wTdQCdoSz50qcCudJ+7yx2+tArfOjuOswaTmTYRUHdMmr7KiS/m+L++NcvVjk0g4VQ1T1IL6PcMZlMhR/IuuzJteoHGVKWOnoooWw6aIjnftqgU2ky/O8ORQp+vrweEW/04RLDr0fJ0hm240E7S6lh8drlPzgBdSIaSPZ6uqpxfLiG7Hpt9uK3UZMjuMzTSxlIkTk/HueigpFSCroBI0vZ1bp9aJXTBVqPYebApUYAnHxomlYkdpYbyHZ54fBz3skP3mmA816LVsyiYLpdP5Nmb6VI0QuqdBJEU1E/FrnaGGdL043vRtqugCGgHAv26HnihlqPuCRquwcLVAoureZ6paahCxEHCO/OMJ1wMBSIp8F0NW5UIAZNvMhhLKrQDQdvX0M2QdqCy1NdIapJzbZ2qGxJKMPQQ9RW7UCdzAHzk2Tls2yenR5TMkCe+NgqKoNcz0Cdtli9miboRX16JUIUganpM7aiz3hfsn9zkd14ahkhy8mqFHRmBoUhMM2DxIZXmOYURuw+5NE6ksNVI8dg3Jwi3Pf79xQROGGsLLS3AsgN+ZKwBwHi+RS9UkDI+9o5vFqm6JtOjNUqWIIgULCUio0NKg0bVRs8LUpbH40sVigd8funfTlP1BAutDOvnkoRSMGr5mIpkzO7zbE1FSSqkdI9LHY1bCz0udTQyGYfRdJvpQpOvrgZsODo3TK1z08gmuhJxpaNiawJ/sQfZJPlKjz/62iyFRJ8PX1ZoBgrdID4vw8UG/osbiF1jnGjEgpmeY3BsYh0nVHjtSI+wHWEaAaebSQAWewo3lzVKxQ6XOvEj42ihxUwyIK9HDFsO//ESbHtxIG1WDxhJKCz1DTZbKR56cYq2r6MAga+yO53GtAJuKjR5eCNFd11DCMhm+1h2fH/eNbZFodjleCPFuXNljteyHFDnmEtFNKs20olYvZBmPt3hctcgq4fcuHON4w2NXMIh8sBSQ4JQ5VxT8thGn5lU7M5XtgTdQBD8YGd4ft9uad8rtm3z0EMPsbm5ied5LCws8JGPfISJiYlvW8+yLH7v936ParVKr9fj85///F9Y578llUrx8Y9/nG63y/r6Ou9///t59NFH+Zf/8l++vM6jjz6KlPLlpVar8eijj3LPPfd8V99jULkZMGDAgAEDBgwYMOAHBHn9v+/lfQMGlZsBAwYMGDBgwIABAwb8kDAY3Pw1MJcW9EPBvkzEUley2IULbYEXwpWOyqgV4YQKEsHenMqwFYectQOFS62IHRmNTiBY6wXcafwIDc/n0cvj7Hk7XGqnSOsBH3x4B5+/Mkb9gs7xhsHebAcARYWr23mODG2RKPpsNlJ0AugEAl1IFAGhhF1ph+BKA+WWeZJJl6avYOzJYh9IYecCGr5KwxNYaohq/t/s/Xe8XFd96P1/dp9eT+86OmqWZBU32RZY7jbYphlCQgnEcSChPDTfCyE84f5uLoQQLklMIBdjwIAJprmBe5FtWbLVj/o50ultzpneZ/fnjwHdny4mwTbhOma/9VovW3vWXrP3zJ49s7TW+n5BGkxgmjLxIZ2xbJwvbV9Ji+ZSTcm879qT9ARFdi4m2bHocjIT50/XzDGaifPAbDua6JDWVVTRpWpJuFYzHG5MM+jxm9iuwM50nU/0DdCmOTRsiYyukNwi4FQd4j6diapGsMdm45oF5uoi/UGbzFKI81pzaBKYjgsj05iOCJbD9pkO0lNBgq0GO6c6yVcC1BsqXZEKYdnma6d05vf5ydX9DGeSJDUIyiLv3zTB+MkkpyoaIc04PcRrWyKOK/Denk5eOzBHl79B3pDY2lqhw2fRppkkNRdNdH9xDZQJKSZL1QCFgp9WX4OzYhJtPWVKxwVKpsL+Y13YLkiCS3cAMg0/66IV7vpfLay7vsqhTJLVEZfXdi3xreeHOFYK0uXXWR81OF6wOZpvQLqE4wp0+BokwzXWxov4kxYRzSB4tkbMp3NeS57WaAXLkHjwSD/T1QBBuZk8VoxqDATrXPmuHOPDMdb0LXHPtEMo2EzWVWxoFEyFiTJYjkhPoEEs0CD8jiGqlsy29hxFU+K67hB3P7mML44YjJQDWIaEi4tPAteC7zw3xGJDpm4LtMSqHMtH6fKZCDL88epZTAdum1nkUCHCSCGCKrqsCNWZPR7BdETMgoAouswdDJIzJfbv7+TcrkWOl0Rk0WVvViSqwlQpTHyDS3YhyGJD44Mdb6VFM0k1JEIytPtFror1sT4usTYmsDQRonBEYMdCG+liiGO7kmyMWZx7ySJIsOGiNKvWZXjo/m78ikl/pMxQBBKawHzdD0sF4p11pM4g3xyL4febhGT4738xxXP3JPibJ4eYrmkcnmlDlh0myzZrIwajZZFV4TqiJrAuapPorVMyBXpDVQJxk0SkRmopQp/f5OrIKl7fnmR12ORAJkFnqEpwtcSNq6bxyTbZcgDHbU6HWR5REIMiwZUiV106xYWvS/Oa5XOcHa0j+V3ypoQsQkRxGAhajKSSrArXmakF2P5ML9+cSaMM+Bne204jL+FP2DyZSrI5XicsywwGLSKxOpLgcseDQ/zovgGi5yosC1V5cinaDP07H2HvZCeq36LHb6EoNhcPzvGWK8dZHqpzcqKFjCGhOyJz1SATpfAvEvrCYkNhZazIz0b6yDRskr4GA0EbSYAun4XhCNRsgaAMPbESAKsjzQStfdESfSGJK9+RpVZSCQV1egNwqhzEdAT25aKsjjisjxe5ctMUnf4GMzU/uiEjCc0kf2VTpTtUJdRpoUQF0g0fAi5pXSDab0BbHElwWRdXmd4VYDwbw61b7M37sV3IGxKHsnFu7PUjCe7pz9Abumuc//os5mSd13U1eHwxxsFcjHQqRN4UKVZ92PVmyPYf7FvOgUeTKKJDfKXJidE26rbIikiZgZBATHHoj5UIDUFrokJ8rcWTSwEKcz5kv8NcIUxrrIIgwLF8lJ5ImahiEw00qJsyd4/0sSMtU61ouAhEFYuI4rKyJUd/wCRjiIQ0g7tnQ/glaPE1OJSL0d+T5+xYc/pkUnNx6yYAcdVmdV/69PdfuhgEVeYvt52iZgnN8PCWyKmKzJG8w0wVWrTmlLJUHSKJBgT92JN5Bv9AZjBoEOvT0USXmiWSamjkd5l0rq+BYXMoG2d8OMbZiebEk+IJkcf29vOXl48S2yzylt4a9eEK41U/McWlZIn4IyaZagDrF1M5nedO0h2oc6IQwXQF9j/bxl+srPCp155iuhzivqlOxucTSKLLqnAV121OsQwqFj7J5cpNU0iCSzHvZ0vSYKEaRHcEEqpLu89hz0Irds2l+1qRuGrhWi5bW5v3bUlwmc5HmKw1E36Olps/w9bHHHLDEn7FomRCq79B3gAtYNGxokLv6wQu65SZq4voDZmWwTqS4DBZtjg/YfHczi4o1wmsD7AmUmGqGOH9KyzyhkBchXtG+9j1sxYWhgOQyrE+qnNioYW6KRPrbtDmb7CmM82x/a1M5GJ0+UzSukRed2nVHEJ9Fo4LxeHmde2XmmMEqmTz1n6JmZpEVheoWBKOC08sGLRHy1y1forxqg9NcvnxsX6CMkym4izvy/L2gQx3H+tnJhfFdQSOTLeRbviInuWiRhyu7EoT9elULZGo2nzvYu015oeDzSnCPp0bly0QVSx83fDuwSzJjiqTx2NEVIOvjrSywzjMZZ1+IorDZFVEwG0mUxdf2SMc/7empb1aeNPSPB6Px+PxeDyeV4j/WwEFXi3+04/cfP7zn+e8884jHA7T1tbGG9/4RkZGRs6o8573vAdBEM4oW7Zs+ZW2du3axWWXXUYwGCQWi7Ft27YXFVfb4/F4PB6Px+N5ObyRm5fnP33n5qmnnuIDH/gAzz33HI8++iiWZXHVVVdRrVbPqHfNNdewsLBwujzwwANnPL5r1y6uueYarrrqKnbv3s2ePXv44Ac/+IIxuP893f5mVl9FdLmo1aHNL1AxXXoDNj7JZarWbLNmNaem5QyBo3mXqiWyJioSkl3aNRtVEriuR0UUBNYl8tAaQRNdBFxWhl02xCpki0He0JMjrBoUTIGpsTh7cyFk2WHkeCuy5NDtdxkM2YxVZfoDJgEJWn0NjJQN9Qb1mspN140hyM0pXf5NYZKqxbWdRdqCNbITPpzpPHVTpr4gsqI1y9aWWjOK0GwL6voEn7hslFMVkX95yxhHSgHaBqqsbs0xGNQ5Xvbxmp4UA0Gbrb0L7N/RxsZEM8LM4aKKT3J5c6+PFeHme7btvGnGKgriQJKFYyFsR8AnuRTHVYIXRDkv0aDHb9DaUWlGxxJd1sUF7rk1zP6CRmnYolVrTpmoLKlcsnKWB+aStHWWydX8pA2ZP+gLsmehla5wmU2tGUQBNsRdQp0WiXCV1/el6GgrMdeQGQjYGLpE/8U1evwmu6c7Of/1WfoCOgt1jUVdpmjKRGUHRQSfBL2dBfraC2xckeJAOknC36Db79AoKQiiy4GCj6olk9ZFaraI6cCa9gwAj6UkxNYgOUOmaAp0nlVhZajBeckimtSMPLe1TeTSTh/GSIGnFhOcvSaFILj4FZOjh9uIBetUD+n09BSIh2rEOhrsmurk6jXTpBoKUdlhedCisr9OSDERVnQwdFEJSXF5c5/IQjZCwxZZsSzDfF1ha6uFKjWva8OSQJaIqQadyTInyzING05WZF7fFWZNpEa1qnJewiSm2Jw40YrlCKyJ1ImrNv6ISUBqRqZzLYh319kQM/mrFQkuasuyOl4koVosNlSmShGqpsxTR3o5mmrhoZkOqhY8nQ7RukbHdkAWHa7vbhCUm1P8BE3i1iNdaKLL+QkdyxEom81s6MtDNptiFlHFpcNnoaoWis9hY6LAI6k4RwoR3vaHcyhDMXLHVeTBMK4LwwWN+i8i/iQUmz2FAldsnsI4nCOwrQ1jtMyH16SxbYFWzUbsjrJu+SIuEFVsdmUDBIM6fzhgElUsVkccapaEXXZJqBZGqTldIhGusjAZYTYTZW8mzrGSyvkJiy6/Q9mSaNUMouE6Ul+MUJtB3ZKpmCotWnO6y5akSfGEiKCIqOe0I/VF0cIWx8t+Tp1I0uPXSdVdCqaEIroMteZwXFgerrChe4nPrIxiTtfRRJu7jwwwcSJOp8/CcQUu7xToCTQYm00yFKrxpjVT6I6AUzZZPpjFdaE/YNHRVaInVEXSHPySzSPj3USW2ajntNOwJTTZpmBAl7+O7gic073IipCB4cC1g3NoikV/oMHqmMSxQoQN8RK2C1HFostnEZRdevwWsWSdRl7imp4lDhT8dG+s4rggrO8jsdIg3KozELSIKjZLusAbVk6zOVFAkRwkDWqWjChAJNzgeEnkeNnHaNmPbknoeREEmlOqXIG+gIPSruCemGG6prE+aqBbMrYrUD9pIQlgOs2pOtdsniRrNCMyAQgCnLdmHmlFK+V5hcFoiUvaSpwVLTNfDqHb0NNfYGS8laXpEH94wSm6EyVqtgQuHCuGEYE1F+UYCll0+XV6Lqwjr20jts7F1V3+6g2jLOTDjI8lWd2Xxhc02ZMNE1ctKrqG7QoUaz7Wrl8iLDu8vkvH5zPp9DksNlQ6fCbBsM5sXSEgNX8d9QXhVBkKhsZVK6dRQg5dPoOI7LIpVqPwdI1DxQAZXcKxBQxD4v5Zi6eWElS3pwlu9JPQXCxH5PnJTixX4IYem/Uxh7jSnJa2LAQHTnbCkXFObg/hmjbXvnkex4R2n8GTi3Ddhgmem+hCaveRelaky9/g/plWRAEubrU5MNXBuV2L+AYVnLLF2q40h4+1s6UtS7vPJCI7zM9ECWkGra8V+efRMMceCOG6cHYyT1QxmakF6E0UCZ0fRBJcegMmZVPhZ3MxZmp+hhdbCMs2qmRzZUcJOQwdgTo/newkIDnsy/sJSM3p5Q1bYG2igJyUEJa3k9R0JnZHec3yOc6KSezKBoioBsuDFg8vKHT6YarqZ6oqcXiuDb9mElbguxMJhkIuSwthfOckEOIBVoUbrAhZPDXVSXbChyo5zBrNaYcnK370fWmE9jCrh9L4JJv+SJnVYZNTJZfXtGcpmgo/He/i4X9oRhAEGFyWo5pWWH9JFn/Y5IH5GHvzAXySTUxx2BB3STVEMiM+egMuU6k4u6Y72JFuXv/t8Qqa5NKquQwEbY6VVDbEDP54EBxHJLhOpVWzkAWHq3oWuSDZjDQa6HMZXJ1Dd5q/BRayYdb2LrHt2gWMlM34SJJMzU8k3CAguZwdB010CazWuGusk5hqMFsK07GyQlC2KJ6U6WwtocRcVMmmbsmck7D545azcdxm5MLBkE1YaX5WQ6/weUuu+9KL51UwLe2hhx464+/f+ta3aGtrY9++fbz2ta89vV3TNDo6On5tOx/96Ef58Ic/zCc/+cnT21asWPHbP2CPx+PxeDwej+fXcH5RXsp+nlfByM3/6ZcJgRKJxBnbt2/fTltbGytXruTmm29maWnp9GNLS0s8//zztLW1cdFFF9He3s4ll1zCjh07/s3n0nWdUql0RvF4PB6Px+PxeDz/d7yqOjeu6/Kxj32MrVu3sm7dutPbr732Wu68806eeOIJvvSlL7Fnzx4uu+wydL0ZEWp8fByAz372s9x888089NBDbN68mcsvv5yTJ0/+2uf7/Oc/TzQaPV3+vQRGHo/H4/F4PB7Pv8Vbc/PyvKo6Nx/84Ac5dOgQ//qv/3rG9j/4gz/g9a9/PevWreP666/nwQcfZHR0lJ///OcAOE5zIO9973sf733ve9m0aRNf/vKXWbVqFd/85jd/7fN96lOfolgsni4zMzPN9lyBlSGTjCERVZpz4a/uNLFc6A/YbIgZhGWboiWyJVFnIGhzdkKgTbPo9tv0Bmy6/DqXtIt0+w1e066x8soa1r5ZhosqMZ/Odctn6UsUCfoMKqaKYUn4JFiqBdgYq7Jjtp35mp/la3L4JZcev05McQlINhldYMWqDEpUwNoxQcuyGvJAiNzDZaYfEhE0GReBuE+nYcmcTCe56we9LD+nyHOj3SiKw+bBeaKyQ92WsefL+JarvKZFx7dco8dvUlpQaV9bJyxbBCSXQNCg02egKA4H8mG6/SamIxJTXJYa0OM3ABAFkMMCPgmcsTRPzrVjOSKX9ab4pwMDuPk6LZqOIrqIisNiNYAqQsmE87sXuSBRp5ALMFVTUWSbo/OtxC4N0eO30dqa2afrVnM91IpImWR7lYYlE1NcUg2BwrRGor9B19oK1bJGUHJZFyvhOCJi3Ee7r8Ela6eR1rTT6mtw/eWThGUHn+SQ0iXCskPZBEFwUTSb0HqFazZPkqv7sFyBY7OtBDpsBgIWl2+b5sa+LHHVpsPnoGoW6YaPKzpsjMNZWjWTHr+DoAhs6lkkGaoh4DJbl+kNGKwO6+hLAssCBv4hhZPpJAC3nYpQrWu8/Z5uilk/h1OtpGdCjJRVHLsZ0jQgNzOeT00nWKj7cQ7PIq9tY99oJ7YrIEsOF62ZRWtxWRbU0SQXv88go6vEInWMB0/g0swafmNfls2xBpe0VlEEiPsa7Eq10eWvY7sCj6Ri/OFZU+i2SMkUUSIu7f46HT6H9GyI4oKPgVCNdl+DZecU6eoqoQgu6xNFVrdl+NcpP73BKqIAm+JlNscavP/cMaozAisjLoYtktR02jWbw8UAxqTOtZ11NnctIgkui7pCf7C5XqjLZxBXLYqmgOkIqJqFpDqsu77KFR0F3nDuOGJ3FGepQq4UwDhWwrcqwHvWzGDZIrJkM1KW+fPBEP5NYUrTCmgKH/3hCgxbYrEYplUzsEaz+FodPnP5SQZCVd6/eYJ/3DsIgO0Kv5gjr3HkUBv78j5OTLbS7XeYz0d4aLaNxbqfNs1kdaT5uYgqNl1+g9XtWXKlAPZ4jvRUiIrZnFkckS3WRBqEZYvHT/ZSGzWgZmDPlliaba4bOpyPoogOQRmO5F325BSCEYOzOjN0xMok15usjBWZOhwjp2tsjJfYm4mzpSfFE0s+JqoSkuAiic0S6jApmCLTuwIoEZcWzWG2LiMqLpYt0igpuK7A2mgZwS/ipivIgsOKc3Jsjuus6M9wVryIYcgogsvzaZ3WTSaLlSDnrZknqblEFYtUzc9rWqq0+hqEZZv9WZuEahIYgHpVQZYcLm6pYFdd2nxAuYbU4aOc1ugP1piuK0gCxFearLkgh2FJjBxpYWVrjoRqUir7OD9hcmlbnr6AjuMKHB1rw8i4ZBsaw4UgQ6E61eMW/+3vOkg1JMKyTd+yPEHFYmw8ie1CQnW5YcUMShTOjdc5mLU5pzVH3ZKRAy4Ua4iiiyi49CaKxP0NYprBVMVFCUFW15BlB1GCQwut9ARqzA0HyRgiMdVAiiqsjpYIyDZSXxTqBk7NYfGoH3UohOWKFHQNJWBj6hJrIg0GokWeSCWIKM01iHJY4Py2DO3+OpHO5n203WfgIpDPBWj3WawMN0hXAlyQLNHhF1geLxDbKFBNq8ii21w3J1s8PtJHq2rRGzBo1BWOLyXZ2q6iCC5HTrRjpxusCunIosP6tixbEnXCsk1ActEdgdl6DRfoDFZJ31/h8fkWJn7qIg3EmT8VoT1QozcoETo/iCY6HLsvQLWusW5okdd1Z1kf1en2N7jk8jmOpFqpn7SYP+BHVhwWGz4SkRo1S2RNpMqedIKjuRhia4hL2qFsKGR0jb51RVa05xgIVjmVTuAaNjuzfvbnVfbkAmQaMF6VWdeSo92n49NMZMGhOi/TsCTOT1QwXYGE6rCoK5woNUN19w0VsLI27lQzlPGhXJzEJT4GgxYXJmskQs17o18W6PJZPJuRGQzZnN27SLHmo1VzOTtqE1dtFipB3GID48ASiujScARaNJORpSQPL8Q4JxajbDXDJD/w9ABuvkZwSxhRaIZID0gOl3c4dHUWadgiPtFFEprr7jpDVfSqxH/fNQCiwPRMnI0xHdOBnKHQF9Dp9Jl0+RxufMpHUrVZqvvQRJeIIpBqiEQ6dfbnZRKqRUh2ODtqYDoCIdkm1l4Dx2VFtITtCoSCOrN1mdWxItVJATks8PZ1k+i2iCrbFAoB3IbD1Mk4qZqfBxYiGIbE+niJ/oBJQrXAcVkeMgmpJiVTQc+LFAyVfVMdLKQjAEiiy4MLUcYqzTWzAal5nftEF8OGi1oatGj2y/i1+TvwUtfbeJ0b4FWw5uaXPvShD3Hffffx9NNP09PT82/W7ezspL+///SoTGdnJwBnnXXWGfXWrFnD9PT0r21H0zQ0TXuZR+7xeDwej8fj8TR5a25env/0Izeu6/LBD36Qn/70pzzxxBMsW7bs390nm80yMzNzulMzMDBAV1fXr4SQHh0dpb+//z/kuD0ej8fj8Xg8nv+TFy3t5flPP3LzgQ98gO9///vce++9hMNhUqkUANFoFL/fT6VS4bOf/Sxvectb6OzsZHJykr/8y7+kpaWFN73pTQAIgsAtt9zCX//1X7NhwwY2btzIHXfcwYkTJ/jxj3/8f/P0PB6Px+PxeDy/R7yRm5fnP33n5mtf+xoA27ZtO2P7t771Ld7znvcgSRKHDx/mO9/5DoVCgc7OTi699FLuuusuwuHw6fof+chHaDQafPSjHyWXy7FhwwYeffRRli9f/rs8HY/H4/F4PB6Px/MSvSqmpb1Qec973gOA3+/n4YcfZmlpCcMwmJqa4tvf/vYLRjb75Cc/yczMDNVqlZ07d7J169aXdEx+2SEkO6TqAgVDpmBAWlfQRJeoYjNbV6jZIscKLllDwXAESqaAT3JIqBYCLvN1jRbNYrGhsFAHIaCw/cFOBoM2tiMS72tQqPpJdjYT1w3no3T5LNb3LdIZquIisHXVLHJSpEWzyOgK+7LwxJKPnoBDvSCzcCTAyM4YmYkA1lSFSkUjlqyBKDBflzmaj3G8ECVvyAi4iEGRde0ZTqUS+Fsd9uQkBmMFHr+ng9qowfnL5jEmdfqDVbLFIE7DJabp5AyBhXSEVl+D+UyEP7nmFCcrCqpoo4rQ5oOCKTNZDSALLsM7W7FceOqeNq5bNc10NYBliVzbWeaxn7RzIB9mbWeapdkwI+UAtgsCkK8EUEWHT+5pZbomEOtucMHZcwiyyKpImcaiSH9LgYoloAguK9dnyS4GaUtWaPfZVC3YOd2Jtj6KWQTXFbikI8ti3U9dVzCnq+i2RD4TwD6aIhmu4RoQkBwGQhWWBw0SqonhCMylYhTzfrAd1KSAT7IZqwiMlAPMHo1wrKQgt2nIko3tNhdmFgoBYqpBzRZ58qleTpQ1Go7AzIEQ8dUmDV0h5tORBajbErYrsDAXJWfI1E+ZZHQFUXD59OYFSrrKNy9L87OJLlp9De481clVHXkOTHUQU2zm6zJTNZVd6TgFQ+b4g0EQRTYNLpA2RA5mY1QKzfVkdVtkT07hqeku+oI1RMnh/scHkAQH1wWfbFOzRUKKiV9ySdf8dPl1DhXC3DFZ5or2IvG1Fi2+BhHFoZqSWaj7OVoUmS+H+dy+XixHRLclkMCoS8zUVU4Ww3RcZPOOgTqt0SoXrJtl82uXyBoKwQGXz+9czu4MGI7EVDVAWLFZEdIZO55gy9mzBCMGi7pCWpeIKg49fpvhoo+KJRGQ4e4Zh+hZLpIGWA4h1UBrFzCPZDj1WJDxUpgP/XAIc7ZGor+B7Qp0LCtzcUudnkADe7HGN4YHsI+muKbTIKAaRDSdxYbKQz/rQYpKqDFIBOpE17r8wUCGqi3x/UkfPtHheNFldy7Cs+kqy9ryPLMEZVPBQUCTHM7pT+ETHb45rpPRZRq2iD9ooIgOD93fzddPdLGoK2xcuwBAyZR4Pudn27I5ZibjLP2syq6ftTCcSTaT8SWKmI5Imw/qlkum4eLYArohI0kOUtJHvuFjthLi/HVzaLLNuliZaHuDN/eWWB22qFoyqtRcVCyqcPPFzXWLjazIpkSJpUbzHmi7ArFVNsNFFU22yR2SuPfbLSzpGqImYjoCSsAhFqnx1Fw7w0WNq7tUzCUbRXRQEy5tms2qRL65YNunUzA0TlY0buiBoinTmHMIRgwen22nZkmMHGrhwmSZ7J3zYNjYtoDpiCQUm7Dsoi+CY7gUDI3ejgJLpRBHin6eTbXiIuAgsL4jje0KRDSD4eOdrErkWRHSCcgWO4714pNcApJLzRZRkwItgRp7c1EuSNQwXYFAxODkgQTHy342JCQWq0H8ssX+g53kHq1weLqdsUKUYtWHotgYtsi6uMAzz/VQNGXCsQYP7h2gZkvkdI3xQoyru7J0hiuUhi1EARYbGvZsicV7qww/28p4Noa9WOOslYu0BWscHWnn0ZO9VCyJXM3PVd1pNMmms7VEZVokHq9RNFRKCxqO2wziIgku6WoASXCxHIHHFqPYjsBE2cZ1QRBhYilOyZSYrsks1X3UbYGA7JBQDRYKYfrCFUaKLm9eNU1G15g/4CesmLguTOaiFEyZ++d9TNUkcobIBS0hxsowWQqTLQZYE2nw44kOrNEskugwVgrTH7SxF2tsPXeWgcEs48UIji3Q35/HdASmaj6kqEJC09l9vJtQSKdWVbn28mkCUZOqLZLWNdbHi0QVC/NwhoDkkDNUDEfEKkO9rtASrPFcNsjkQzJ/umaW965Y4I19aT64ZokOn4NlixRNBdOU2JWJcmo+SX9bgeWtefySQ39AJ67YxFSBhiMgB2HsaIL8EzUCPoPrXzOBU9Sp2SJjFR/+gEHOFGnRQHcE+oLwL1MZwl0mrisgAEdLEjlD4rHFMMfu9XF0dysPLgQYCjXoDjUTXl/WXqIvCCfKChviZboDdRqHy7iFBpLgYjsiP5lRCcgOjt0MLtBwmkFl9mZBUy3GFpK8f1WGw08maE+W2diR5s19acqWSFpX0R2BRV3ke1ua31Vbz57hvIEFhkI2LZrD6NEWkhoUTQlVdFBEh7Qhc/k787iWQGnYoquzSNlqJg1t12xOFKJ858ByZg6GiKxxWRYrEvbrnMjHeOKJHqqGwrGSnz9almY0ncB2BE5VVRYaCos7RVZFy+iWxMpYkWeO93B+3wJrWnMcL0SppSQUxWJ12KRgNIMnODTvBWNVGdNtfn8G5Ff2GMev+237mxTPq2DkxuPxeDwej8fjebV4qWGdvVDQTV7nxuPxeDwej8fjeYV4qVGdvb5Nk9e58Xg8Ho/H4/F4XiG8kZuX5z/9mptXooopUTQlFBFOlEX6gmC70OHTm/PHFZuKJXJe0mW8KuETXfySy5KuAJDSZUxXIKpY7M2JbIw55J7R0R2R+YbE4IosmYkAY6UwtiFiOBLjVYmaLeKLW9RNmQ6fTmilwNyeALYr8KWJJS7vcFgVdkg1RPZOdmJZItPlEEulIMefS7B9poPwepnGnhzzdZGZmsKaWJFOfwOf5JA9KOHzm5yqBCjNqvgkiCVqzNZVPv3wChxbZMfeHnpaijyfTnDqcAJJdIkpzcR18VAd0xFR+gJc0lrGdgUU0SWiuFQskYmqxNemm9HufJLL4WIAf7SZfC4Wq3P26gXGqxq2C5Ls4NNMFKFZt0VziQYaNGyJL29doMMHkh98KzSqO/MEVJN0KoQkO5yf0OkJ6EgBgVJDI9BiEZRsJEEgoZo4mRr3712GZYn4FZOZukr/2UUWjoRINTR2L7Tx7bv6URSbx3b2EVUs6pbMaFnFdEQWag6LtQCZcoAjD0UoTUj0dhRI113SusBHd8e4INmgesQgU/NTNEVma1DSNSKqQd4UuWdWQxVhMNig3NCoTgo0LImWWJXJKtw+ZrInp5Gp+wkrNj/avZz+YA2/36Slu8p9czHiQzo9fpOVyzNsa6vQEqnik2x8ksPejENYdqjazYSSC9UA1nAK1xXo8tlsac/wxGQXRk5gdbyILAj0B+skg3V8EYs9OQXbFYm31NifiSMKzWt/VbhGwVRY0Zolawjc2BOhK17Cyv/v+c1qwKbVp7M26rCmb4k/WV4go6ucqvgpjCicnE/SqlmEZBu7YLErGyAU09E6RKSIjCS41KYF1kQc7qncS3ugxtGSynhVZSBS5qnFBKJGc22UC+fEaxwqKBzIi4hCc42BCFzQqoDlorRLHHkwzKFsHNd0+dsfD7E/E2fLsnnOignc8eAQ9UxzvrgSEyhbMhNVP4/+vJtuv83TD3SQ1mVO5mN0ryhxuCgRlC0qoy7jwzEAXMOlPVlGFR3etayOJjlc2OKS1QVe3xUg1GawKSGycVmKgNRMkuuPmiiiwzVdQXamXR5LyYzPJpFEh7Bs0RtortETNShZMgHJocPnEOk2OFGI8rOTvezKhjinI82enEhXWxHbFZAE6AmJbE7AgYlO/vZgF7YtknvWYEc6guUICDIMDOZoi1SoZlVimk5QtllsqPR0FZAEFz3TfNNP5WPUyiq2IzAQdDGqEslgnexRhaTq0tVeZDSVpGTKWA7MH/ATVSxGRlqxbZF2n8H+jIVfcvnK4yuIaDrH97ZgOgLtgxX25jRmKkEyuoIgNBPw/nxO5uSpVtSIw7Jgg4KpsFj30xKos3uii9qogSw71CyZ+YaMJMD39yxn+7O9/Gw+QHiZzYFchIjSfA1jikndkvH5LfyyRTxUw3EhEmkm2tRtiaRPZyhk8XzaJaLYLB3zkakFeE17lpmaj8kKSH6XgcEcrgsdPoe8ISPi0hUuc2K2lbMHUpysaPgVi0i0zmLdjyS4bFk3y0CoRnAQ1iYKrI0XqFrNa701VqFqqDw92ku24SOjyyw8p/KdY318bzKKi8Azj3Ri6yLL1hYoGCph2Wa82rwfdXaUmgmTNwlMzic4NtPKkVKAg3NtRBWboyU/A6EKawbTJFSDE2Ufm2MNZmp+2vwiS9UgxWGHlb1pHl5QiCrNdRV+yW0mhZRtRMGlJVnhrJiAbYucKGtM5GIsNjQyukZHsMZwQWFN1CUgQY/fQgCqpsPa9gzzlRAD0SKdfpsf39NHLNF8/VXR5Tt3L8NqQDWnsbYty9h0EsnvIgrwZErEnDcIaQa6LRK/SKVQ9WPXXCxdICC5HCxo9PfkuWD1HId3tTBSlkmoBpLgcuBYJ5lqgLqp8PqeLA/OtKMbMqLg0j1QoLW1zL6cSKbm54dTCtOlMKYr8PBChGCrgT/YTFjZEajTHazRqjXvc0sjAQ7nojx5sodsOYDSqfDUfe20+0zOTRY4OtNGWHaIKs3XEOBtnW3oeZFcQ6NgCqyP2qwI1fkvl4+yLxNnphrgohaDoyU/sVCd89bO0R6qUjIFcrrLeTeWWdWfZmo0RupZkZFSCL9isikBUcViz1gXy6Ilbr74JIOxAm1+gXCkQW+iSHd3kaBiYlsi5bqGpli0axbHSjJZQ8Z1QVVsBkM1RBUCSZOwYhOVHZ5Ox+n1W2xKlNDE5jXfotoI8QBLC2FqFZVKUUMTXVK5MKYjMBCqEFEcfjzRgZ23iUQbtK6uc6ykYToiJVPlur4UPT0FFNHhkVSUhg1pXeBoqgXDFulpKRL064Rkm2DCoG2gSkaXODnbgmnKrIpWODvmcLDQ/Df8qZpGTHGZq8GpikzJlP7DfgP+Nvyyc/NSisfr3Hg8Ho/H4/F4PJ5XCW9amsfj8Xg8Ho/H8wrRXHPz4odhvIGbJq9z4/F4PB6Px+PxvEJ4a25eHq9z4/F4PB6Px+PxvEK4brO8lP083pqb/xBlC743aTAQtPni1P/EdKBFs08vEH02I9Oq2cRVm8GgTVC2MR14dsnFdgUcF1INEVW0SWoCMdXi+GxrcwG+ALn5AN8Z6WZNvMChU+0MxgqsCFkUTJGR460cLUSZqvnQ5232LLYyVVN4fUs3I2WZFs2i228zV1eJRBrMNxSmqwGG81Eu6V7Eqdvs3t9Fd8ChbEHVVNBtiZ5AnQ8/1U2hEGAoVCNTCLI5bqHXm0lI10Rddk11UrMlDs62syzYQBRcsnUfjy1YmLbIbCFCUDWpHa6R1jWGC0E00aVds1BEl5wO7+jqYqQUQhFAECC7ECQk2yxmwlh1kZhi06rZ5AsBGrrC7qyICCRUm84tBprkoGoW5yXKlKYV7EwzGd9iNchoPkajrjBRU0nrKkvHfDRsGTEAu7I+ArJLzZLY/fMkAIYls32+HUUAqwx7F1vIGBI/nISA5DKTiRJVTCqWxHAhjCxC2ZIYigiMln1oss1YOcyu8W7qNYVNSYENMZ0f/fE0t50UePpYL7edCnC8KKIIoEo22YaPP7vgFDctL3FxS4HRig8HgcdP9NESaSZuC8kC13X7GAjabNqwQNmUWBmu0bAlBMElv+CnbrvU5kSGYkVcB5a35Ti+lMR0RDK6zEFzEgd4XXeaAwUVUYA77l3G6EwL3f4GkXCDhiMwOxMlV/ezImyxUNeY+0UQi0tadcYqfh491k/BlJAEl9VnpTlYCNKiGQCk6s3PQ7Hq58D+Dh5ciAHw3LFu6pZMWhcRJZdl3VmGCypZQ+TGR6PszYfZvqgQkG2eeKKHibKLXpOpTkL5iM2JssL/2r0cSXD5/MAbWKr5WRGySNXBr5hc2pHlwP4Ots+3E1UcFuoqLZpLdwBaVYcjRYXjRRdJgD1PtuE6MFcNEpZtJg/ESKguhiMyuxijy2fR6TN54Fg/45UQC4cD6LaA6QiIgsvbr53gp7MBev0Gz+f81HMSithMGPe13cuZLoUp1Hzs296K6wgcKTZf67GKD1V0aNVcBAHKixo7lywCbTatmkWp6CefCmA4In0Bi3OTArYLO9IxRMnFJ9u0+yygmSxwoipTs0WqlkhtSWZNvEBUsVkRMgiFdFZGoF5rJjuMKQ49AZezIjWOlvxsa7MIhA32TnbSsGFVMs+JY60UFv0slULMZqJk6z7KlkTaaCaxPVLSGBlvZe/RbmbrKsWqj13ZKJvjJb4/vIxUOchUJoYDLKbD/POonz05EUV0+d5oF4roMFMNUKk1E8W2+WXypkiXz2aiGKFmySzqEtnpAG/rz5LWFVTRoWzCki6xtc3FdcHWIa2rjFfk5mdfttme1pidinFioYVNvYu8sT+F7TaTJc7VVS5uMbBKLsuCDTYnCkQUk9GKD1W0OTmXpG7JWLaEKMB8OsJ0NcCSruGTLDa3ZgipIjlDQTdkUnUfra1lOnwGogCNvMzjB/uJqzYB2aEvWMNBoGqo7M6FiG6WEQRQVYtiPsCFK2YpmQKCABs2L1I43vwsBXwGvcEqZVPm+EIr21MJCobMj2cCzcS++Qg9fpsr2psL6QEOjnVSnld4PudnIFxha0uRmZqfaknFcCTsvIXpNAPQFAwwHZH5hkLDBlW2UUIOR4pBfJJLwZRRRJdOPzQsibuPDGDqMpe02QA4rsC1mycomBKmIyIJLplsCEmAfXPtvHfDBLtzzet3rq5iuwK9AYepqkBStREFSNUdtrYJBMM667qWaO8tszZapmqLCCIkVJO5usSyYIN79w5y92gv4ViDhi0zORJHBOq2w8PP9mNYEo8uajhlA0l02L23i1LRT0I1UUWXfCZAaLOfkVKY2arLmv4lWjSDsGLik21S1QD5hobtCsyWw4zk4pTSPixT4soOg5BqsjwiUbMl5mpwVUeJhfEIc6kYE1WNyXKIpboPVYSYYjOejXHZ4ByK6LJU91M6ZPN0OgDAaCnCfF2jaIqkdZFlwQZJ1cEnuYxOtBDTdKarYDoCMc3AMQWey4rULJHZusLFLQUW8mGMikyxrpGquxwqlhE6IgQHmz/qDqda6fQbWHYzsNFSQ8F0BfqGCgS3xOi73GRL0mAxHaZY9WE2RH4w2cZj492cKkTZu9hCQjNYHrKxXOj22xxdSrLY0Jg9GSU3G2C8qqBJzaAorZrB/XNxFNFFk1zypoi+J42mWuyea6dcbyaM7Wot8eC8S0ukyrnJAjuWdIb3tzO5EKc8JfOWgRQ/mZHJGc3gSuW8RlugTn/AZqkBIRkeWmgG4VA0m8ViiIolYVQlGnmRLr/JnmyYO091UjYUZAE6/KAILllDIK0LrI7AQMBiZ1r4j/oJ+Fvh4uK8hPJSprK9GnmdG4/H4/F4PB6Px/Oq4E1L83g8Ho/H4/F4XiG8aWkvj9e58Xg8Ho/H4/F4XiGcX5SXsp/Hm5bm8Xg8Ho/H4/G8Yriu+5LLfybbtm3jIx/5yG+9Xa9z4/F4PB6Px+PxvEL8MhT0Sym/DcePH+eGG24gGo0SDofZsmUL09PTpx/XdZ0PfehDtLS0EAwGueGGG5idnX3Zz7tt2zYEQUAQBERRpL29nbe+9a1MTU29qHa8zs1/gJIpcGOfhiS4vCH2ITbFapRMkZGKRli22Bh3CMo2wwWVgwWJYyWVwaDF2QmRoikRkl0GAhYFQ2VFyGakrNIWqHPt5dP0Bkx+PNbNyrBFzVDoDFURJRfTFZisQLruY7wqcWn3Ij/ZNchFPQtIAnT4HNp9DicrKh0+k7dsmCC21uG975mjL1hjbbRM7xUW4zvCbFieIq44RBRI1X1csGWeteuXaPHJHMomiGgGTywk0R2BkVSSP7nmFNf2pSgYMuuSOU6UfaxozdKWLDNSDnBRm0JLpMr/PK5RaGh84YmVhGQb3WlGhhspK4xXJFQJdi5aaJJLu8/k5stP8vBUJx2BOv8y0sKdBwe5btMkBVNi+0Irw5kkpuNiuTAQrCINxMkZCtHVDkHFZN9UBw8+3oeAy2xN49y+FM/PtxGQHEqmyHdHegBoLIpc3l6lasE5vSmWt+eIKs2oQMuCDaZqIoePtbOxJccVnRk+uErnmjVTPJKKsn5wkfGqymCwwakyPDgnEJRhU7zMaDFCVLFYFS8wlokTU2w2tGdQejSu75XpCdR4fbfDULgZyaukqwC4rkBvSxFNtpmqCvS159FEF81nsXe6gw0xg7Te/Oj6z43z4Dys7MogCS6T6Tj3jHXzRwMFvntwOUvVACcnWji5mCBnKKQaGpYr8LrYIGVLZNm5Ra7uLHHJDYtc3J4l7tMpmQrji3Gu6Flkthzi3rkQiuCSUE2OlwJUCioXr5mlTTO5uHeBDp9JVDERFRgIGsiiQ7oYIqYK7MvCM4tJjpWClE04XpI4VvLzVDpIyYSfHR5gYTFKUG5GoPv0ah8XJoucn7RxXHg05eOGHgNfyOLweDtfeHY5y4MWkghXL5/l7FiZ4WIAv2TzeH4egM72IrYrMF8XeWpJZrImk1RtAhKkDZGYCoNhAUWEmE+nPAIXrpil3V9n51KSG1fN8MaNE3x3Is4br5jg/L4FNMllRbjMWDbGSFkmojhEFBPlrAT/47Ixzls+z7uH5nlqtIdWzeWSi2d4XVeOqi0xVQ0yUwswn4mQUF3yhkxctbFdgQtaiiwLGJQqPi5ul6ksyPQHqzwz287wYgvPZvzUbQG/5DIUbv43WwmwvDPLVZsmqdsSmbof24WTFZW4avPYaC+tiQrXnjvJ+d2LNOoyg0GdfzrcgyDAT6cN2jULyxW5uivNqkiZRlVhVSJPb8CmpbvC3lyUZ2Y62JWJsicbRREdhvMSrapNphrAcKAzVma2pvGOK8awHZGVoQapup/10Rp+2WL9+kXGywLbF1r46pVTfPaiCfqDNVo0F59k06IZzJTDBGWLs+MufsllS3uGZdESBUPFdiFbDpBt+Gg4As9mVI4V7GakwprI+osyAJzTmiWpOWxcvsBdY5187s8mqRkKqzqy6LpMuaExEDTYFKswWhbp9Dc4cbSViaoPUQAXgR6/SVZv3rOPFEOcSCdYP5TiZClMULKxHGiJVOm7oMrFLTZHigqRSIO7Z2QCbTYzdZXru2rMLka5aNk8IqDbzWhMvW0FFNHhz686ieCT2ZIsousyJ3MxIhtk1kUMBBFEv8DcUpRMzY+qWjgIbFs/TVA2SagO166YodUnsCZcJ6iYXH/OOBVL5JKLZ/j6KQ3TEdgx3sXZUZ2pSpCSqdITaPCz8R4cF+57tJ+eeBG/ZLEqbFGzRfKGwLqITrGhkZ4K0qLZDAR0wrJNb6DGc0sW29MhNsZL1Goq7T6D5zMCs3WVwDlhxisCY+Ug45UQY8UIK0MNjpdVwsts/vyiU6yKlFkXrbJQDXJuokS3Hw4VJfKGRFQVmKk1I6O1XqrgX+tn3Xlpunwm+091UjAVVBEG40XKlsg7zx8jtFrkVDnAEwtJKpbIRW0SPYEaQyuzfO76k4w/FaS7u0hYNfH7TGq2RLff5ng2gZ1tsDpa5twkBAeakTEfXohzJB/hZMVP0t/gveefYqziY7GhMpGJMzrfQk+gxqqtBTbGdAKSzdqoQ9VSyNd95BsaYxWBn88r3HZKImsIlC2JsGrScqHAtVdN45Nszn2gxJ+tnSarK1gOrIxUWBtpcElrFVGATp9JyRR4JBVFFMAnQatmUjYU7to7yOcuGeO6TZP0BwxyusZIKcw9x/oZLUUISPBng35qT6aQukMsO6dIm7+BX7J4binJobzAX0+dQBFclKiAk60h9sWpWSIBzUQETs0neefyBVZFKqiigyK65A2FnCFypCBQtkQuXj+DLMD2hVa+eLCbiOxSs0T+/OwpqpbM1pYaNUuiaEq0axazxyP4/CZDkQquK7CoS+gNmbNiEqpmM7Quy1e3Zng+G+Ge2Ti37hsk2Vrlb86f5+r1kxzJJvinQ71UDAXdEVgdcYkpDjetyNDdVkQQXKaqQda3ZXnmZA8/GB5kc0eay7sybGur8MBCkJotEJYdTFcgIIHpuM0osLZId+CVHS3tpURK+2V5ucbGxti6dSurV69m+/btDA8P85nPfAafz3e6zkc+8hHuvvtufvCDH7Bjxw4qlQrXXXcdtm2/7Oe/+eabWVhYYG5ujnvvvZeZmRne+c53vqg2vDU3Ho/H4/F4PB6Ph09/+tO87nWv4+/+7u9ObxscHDz9/8Vikdtvv53vfve7XHHFFQB873vfo7e3l8cee4yrr776BdutVqv8+Z//OT/96U8Jh8N84hOfeMF6gUCAjo4OADo7O/nABz7A+9///hd1Dt7Ijcfj8Xg8Ho/H8wrh8r8jpr2o8ov9S6XSGUXX9d/oeR3H4ec//zkrV67k6quvpq2tjQsuuIB77rnndJ19+/ZhmiZXXXXV6W1dXV2sW7eOnTt3/tq2b7nlFp588knuvvtuHnnkEbZv386+ffv+zePJ5XL86Ec/4oILLviNjv+XvM6Nx+PxeDwej8fzCvFyp6X19vYSjUZPl89//vO/0fMuLS1RqVT427/9W6655hoeeeQR3vSmN/HmN7+Zp556CoBUKoWqqsTj8TP2bW9vJ5VKvWC7lUqF22+/nb//+7/nyiuvZP369dxxxx0vOI3tq1/9KqFQiGAwSDKZZGRkhG9+85sv5uXzOjcej8fj8Xg8Hs8rxUsatfn/y40zMzNDsVg8XT71qU/9ynPceeedhEKh0+WZZ57BcZrBpN/whjfw0Y9+lI0bN/LJT36S6667jn/5l3/5d47ZRRBeeC3T2NgYhmFw4YUXnt6WSCRYtWrVr9R9xzvewcGDBxkeHmbHjh0MDQ1x1VVXUS6Xf9OXz1tz4/F4PB6Px+PxvFK81OAAv9wnEokQiUT+zbo33HDDGdO9uru7kSQJWZY566yzzqi7Zs0aduzYAUBHRweGYZDP588YvVlaWuKiiy56wed6MSGqo9EoQ0NDAAwNDXH77bfT2dnJXXfdxZ/+6Z/+Rm14Izcej8fj8Xg8Hs8rhOO6L7n8psLhMENDQ6eL3+9HVVXOO+88RkZGzqg7OjpKf38/AOeccw6KovDoo4+efnxhYYEjR4782s7N0NAQiqLw3HPPnd6Wz+cZHR39d49TkiQA6vX6b3xur4rOzdNPP831119PV1cXgiCcsfDJNE3+63/9r6xfv55gMEhXVxfvfve7mZ+fP6ONVCrFu971Ljo6OggGg2zevJkf//jHL+l4wgoMhRpEFZvreiRcBDK6SNWCsiVjOgL78xo70mXWRBwGgxbPZmQisovuCMiCS9mSWGgo7MuJ+CQY2FBAWRVjpqZwQaLMee1pdmdjdA6UOJFOoAgul7SZlC2JVWGLZEeVqGLTcZFNwYCY0gy9bDtgOCKRC/xguYjdUdINH2s3pRGTAZZqfsLrZdp9BiIutitglkAOC/w/Zy0BsD8bQxJgoiqTNVTUNTF6txkUTJGBKwz6AgYdF9nENwtEFZuzo3Va1+m8oVfk66eCbIgZ1G2RFtUhoVpULNiTrdHmg6u7Ra7ZMElUsVC7Fa7qTVGzZN6/KoMkQHCjn4hsM1MTuahvgas6LVygZsk46Qqy4CBGVRTJwXREFhsKa5cvYboC8TUW8w0FRYCsIXJZe4mzhpbQqzJxrcGaiE18hUniLIvNPYv8t4MJFLE5ROuTbAZeW6Orv8Dm1QvELvIxU3UJb1BYbEDFkugONP/VpGHDOdvSXHflFK/ZNsfAOaVmaFLJpX1tneJ+i0N5kf7uHFM1mWt6U0gibD43hSjA7pEufEGTQ7kYQVkgutLh7PYMU6k4CU2n3aczELSp2SKubvGFLQskrwzgIpBuaFzelcGvmHT5TH46G+QbYzGmqn5iisWiLtGmmQyGXBq2gKAKdMdKSKvaGFhTIJmoMFFT2Z2L0LWpylC8wGtaDEKyw7ruNIoAxaofNeywIl4g3tMgqlgEFYt7nlmG48JkJYDtCpwb1zk7IZAzBKqWSIcfahasDjdYHrSwXVgfL/KJvUE2xuoEZZcN3Ut0J0poksuyZIFrOut0+uuoLS5d4QpVE3RH4MZlC8RXmrQE6pwdrXOspKKgEAwaiDLYrsgfr56lLwjDORvTFaj9Ympvf8AgprjM1mDoggKZTIjQSoGJShDTEWi71oe/y2VVxEXpCdDyGokNyRx3TcexXQHDcXlkQWLjhhRuvk5og4ric+jeUMV2BcoWqKsjrDgry2CowoX9C+zNyfgVC9MVKJkyCdWkP1inLVIBoKWlguvCD44M0BqtEFVsyqZEq8+lZIoYjsB0FVaFa+zNRolvFtB6JBKqSVugRpvmUDYF4opNqiGjBW38awO0nqUzmY0zXtVYFXY4nI9wQauPnCGzK+snEa/S21EgXQjRs6XOXF3CrIkMBhtokktccQjLDosNHw6wKlKhv62A7Qq0b9LZ3JJHHQigWxJFU6ZoShiOyHfGE2h9Cl2BX9wTV7hEBm1CmsGNaycZKYXoixfZkQkQVCzaNJNTZYGetSVMR2Rj1xK2A2VT4Y5xP5NVgYtbDEqmhSS4BGSQl4WpF1R61pRYFa4RXiextbWCtKadvvYCkU6dfz3ZzWV7n0QENq9b4BPnTSIIcNdUjFRD5EQxQs5QMB2BAwUftiswGGyQaqi4rsDGlhwDkTJLukxyeQO76NDl1xkv2WgBi5uHauQmfQwGGyiiQ0ukimMLTNUksoZE2VQRBJfugQLq6jDGeJXOeBlVtdjQswSiQEw18A0qLBwO4FcsnlwKky0GeWYphqi59LYUma1LJM+HLYk6FUticHmW4LlhLl02j9Ln5xtvHGd9V5p9eY1LVs6yIlrCcWFVd5pWzeJIyU+qIZPob9ASqOOTHBKqSY/fpmhK5HQN05SYqsnIoktMNdifj/C6bpGzIiarVqZxXSiYCj1BsbnYuWHxpp4SqujQ7tPZ2LVExZK4uKVCcUwmsE4jEagjiw4b+lKkGz6Wh3RCMkxWRdp8kNBcjLqMEFQxp+sgwqVbpilbMgVDZrEBPRfWCcsOgdUKVtbitV2LbI5XyBoSmugyNJBFCoK2IYrliASHBHpaijw10U3ekDAdga5AjannQoRUg2XBBnP7g4xXfbx9xTydfoOIbDN4dp7QuQFGyiJJzUQVbUbLAaI+HTGssKE1S9mSmauLqKJNIlCnM1QlrsKl7TZtfoWABGVLZHl/FkQBZXWCjK7y7bNW0H6+RcMRiKsWfe0FfJLTDN9f1Wg4IgnV5eKWGqman7Ai0BeucPuYn3MTRYK9Llpb87v7WMlPzhA5XhIZLcuUTRfDEVmaDOFk6yirYpy1MY0m2ayOVtjaanF9eB0bupeYPhDm8AMRnOk8iujSPlRlqeanYcv0X9Kgv63AQKRM1Wr+mIwqDpviLkHZQZSgO1hjZbjOyojL2bHmFKFYn44qOgxEizg0v1vHqwqaarGYDdPTmUeVbG5PjVCtazRsgUw+iNqj0r62zjnxCucmdHoDNiNTrSR66/g64FRFpS/YDPfc7jNJqDaphkj/8jzjqQTpdJjNbRk6VlcJyTY+ySXZVyMZrbG8LccV7XVaNYuA1PxOLltQMcF0BFINEZdXdijo/5tuueUW7rrrLm677TZOnTrFV77yFe6//37+4i/+AmiOrNx00018/OMf5/HHH+fAgQO8853vZP369aejp/2fQqEQN910E7fccguPP/44R44c4T3veQ+i+KvdkFqtRiqVIpVKMTw8zF/8xV/g8/nOCGDw73lVdG6q1SobNmzgK1/5yq88VqvV2L9/P5/5zGfYv38/P/3pTxkdHeWGG244o9673vUuRkZGuO+++zh8+DBvfvOb+YM/+AMOHDjwuzoNj8fj8Xg8Hs/vOfdl/Hm53vSmN/Ev//Iv/N3f/R3r16/nG9/4Bj/5yU/YunXr6Tpf/vKXeeMb38jb3vY2Lr74YgKBAPfff//pUZYX8sUvfpHXvva13HDDDVxxxRVs3bqVc84551fq3XbbbXR2dtLZ2cmll15KOp3mgQceeMH1Ob/Oq2LNzbXXXsu11177go9Fo9Ezhs4Abr31Vs4//3ymp6fp6+sDYNeuXXzta1/j/PPPB+Cv/uqv+PKXv8z+/fvZtGnTf+wJeDwej8fj8Xg8NEM6Oy9xv9+GP/mTP+FP/uRPfu3jPp+PW2+9lVtvvfU3bjMUCvHd736X7373u6e33XLLLWfU2b59+4s+1hfyqhi5ebGKxSKCIBCLxU5v27p1K3fddRe5XA7HcfjBD36Aruts27bt17aj6/qvxBL3eDwej8fj8XheqpcbCvr33e9d56bRaPDJT36SP/qjPzojksRdd92FZVkkk0k0TeN973sfd999N8uXL/+1bX3+858/I454b2/v7+IUPB6Px+PxeDyvUq7rvuTi+T3r3Jimydvf/nYcx+GrX/3qGY/91V/9Ffl8nscee4y9e/fysY99jLe+9a0cPnz417b3qU996ow44jMzM//Rp+DxeDwej8fjeRXzRm5enlfFmpvfhGmavO1tb2NiYoInnnjijFGbsbExvvKVr3DkyBHWrl0LwIYNG3jmmWf453/+51+buEjTNDRN+50cv8fj8Xg8Ho/H4/m3/V50bn7ZsTl58iRPPvkkyWTyjMdrtRrAr4SkkyTpdLZWj8fj8Xg8Ho/nP9rLTeL5++5VMS2tUqlw8OBBDh48CMDExAQHDx5kenoay7K48cYb2bt3L3feeSe2bZ+On20YBgCrV69maGiI973vfezevZuxsTG+9KUv8eijj/LGN77xRR9P3hDIGQojZZWA5LA352euBhNll+GCynAeRAHaVT9ZQ+RoSSGswKmKwFxd5EBe5HhJYKEh0uKDuRq4DtipCg4wV/fT0l1BElwcU8B2BWq2SN6QiCoWhwoKhbSfdl8Dp+GQUF2WdJnpKjy1WCety7hVg/kDfqwTGfojzXj1xuEcw4Ugdt5krq7y6LzJYkNm37Fupg+ESSaqzNdlnkyJbG3Lk6q7lE0Ja7aMq9s8vWjimg6D4Qp23sK1XOYbMhldwS66pHWJDQmRTr/OSFkj1Whefnnd5bIOPyWzmQ/FdaBsypSP2MiyzY50hGS0ik9ysRbq2K5Af9DGtgVcBHKGyHPZINWDDcarKpVhA8OS6AtVOD9ZACAs2zh1h4DkkGqI5A0IyBZGTWJ8Mc5MNUjdFtGXwNEdZMXmkg6RvbkQhiOgKRY4LqW0D70q4ZQNNEnAqVrIgoDhiJRMmNMrjBRdEMG1XQSfCCKk6z5GyjJm3qVRU0j6BAQRwrJLse6jbArUliTSukpQtpiajfN4SiSuuugph0i0zocO2szW/ExV/UxWJVwXzFNlNJ8FusVCXeNYSSMRqbFQCeIi0OaDFq2ZdyOqGkxW4GRFJa0LVC3IHlZYKoVwxjMIMqQyEcomtKg2Tt3lzrFOlnSZ+YZCqexjti4ynI0xdjxBruankRfJGQonSyF6Ag2WdIWDBZmyqZIxZPZnHAoGbG0tYNhQNJq33qIlsifXvO7OSQYomjIlU8RxBB6e6KZmiWRKQc5qzzBVDWLmodzQeP+qDE+kXMKRBsUxmaVqgLot8s9LTxAmyFI+xBNHe3FcCIZ1MjrULZvdWfEXn0GYrSvM1ERUUUAQBZ5caMUu2jw4r7As2ADdojYrEJId6kdrOEUDTbW4vqtMwVSYqthEFAFBgPRTFnZa5+R4C/oShGSbkgn2TAXXgai/QbWq8idDafINjYIB8w2R2ZrGYkMjUwoyWlGxLZHJavN6EASoWCI9gQamA4sNkemagOm49ETK9Ad0GpMmlVEXyxEwbZHZusSTmRw7MiodPovxiQTWfB097XK0GCRvCMRVm0MFkboND81ZPL5Y5sfH+jENialKEByXpQY8f6obUYCGLfI/JsfpD9a57aTAfNViqhpA15u5NZyqQ0usin6qxmwtwHhVRncETEdElcDKmjRs6PGb6PMO1WmBiWIELWyxLy+RLgeRBJe5aoD5hsJAEBwdnkm14AuYSGIzv1RPUCSiQMmUEREYLcvoNjjpGs9PdVJbklhsaJgLJqPlAO5sHtOQKKdU7lg8yR/F38xwUcN1QPXbRDSdFWGHw3mb+brMTE1hX17hmcVmgriRsh9BcDl4soN83cdwNsYj8w0Kkxo7n+/mVMVPi19EEKFoKBycb6NmS8zWfNQbKtPpGN9MH8B0Yb6uMbcUpZT2Yc9V2fN8J6lCmEwpSLmiUTpgMl/3YaVNts900LAkZAFaYlW6/BbjI0kaDYWk6uBULUqWzAPzCgBOtk69rqCfrCNpIAgur2mpIwgu+YaG6YhYpsRD8zJVCwaDBvWMRMBnMFtXKJoyBVPkG+MNjpU16qZC0RCYrTX3na+L6I5A3W7eqxbKIR6alzEdSOsChedMapbMeFUhbyhIksOenEJU0zk0044522C2FGZvLoxlStw9q5LVm991fzvxOep2M3fTncf60Yfz/PCJQY483wrAnpxGzRaYrdg4DYfNLXnMlMH+3R2oqoXpiIyWmvlKBMElfTKAk6pgWBL6vI0kO2xflNmbE5moSgiCy9FcnFikzkJD5Wg2gV9yUGQbv2zR5dcxCwJ2us5c1SYk20xVAzguLFUDVA6bFGo+JMFFtwVsV0S3mvef2Vrz+/yx2iEkweVw3sXSRXLP2diTBQ4VNcKKiWu5ZHSBmi2RyQcZLfsZLgaxXYFn0wrjFYGgbLIjE8AnNt/Dc1tEyqZCcVymcErhcFEloToMhXQ2xmwsV+BktcKXp2e5fbSLye1+nHQV14KioXKkECJrSOwrFClVfDw+34btCnzrOz2YjkA1JTP+i7xkTsViIRtGEh3GqxLjVY3JqoThQKohsf9IJ3O/eE36AybzdT+6I6DnRWbqKrman2MllYYNdVugUPXjV0yMhsxsOcxbk6vJNzRcXL4z1kpjwsDIurQHqzgu2K6AJtpkpwNkTmh0+myOFAT25BSOlTSWdIn9WQu9LPH2wye4e6qNckOjvigyXdMwHYF6ViZfDFCq+MjoCjN1hZotcKrksmupQYtPYKRoofwnSHHz0ielef8gD6+SkZu9e/dy6aWXnv77xz72MQD++I//mM9+9rPcd999AGzcuPGM/Z588km2bduGoig88MADfPKTn+T666+nUqkwNDTEHXfcwete97rf2Xl4PB6Px+PxeH6/eSM3L8+ronOzbdu2fzNCxG8SPWLFihX85Cc/+W0elsfj8Xg8Ho/H86J4nZuX51XRufF4PB6Px+PxeF4NnF/8eSn7eV4la248Ho/H4/F4PB6Pxxu58Xg8Ho/H4/F4XiFcwcUVXvwojOtNSwO8zo3H4/F4PB6Px/OK4b7ENTde56bJ69x4PB6Px+PxeDyvEA4Ogrfm5iXzOjcej8fj8Xg8Hs8rxEvNWePluWnyOjf/AZ7LVFmoxXha38frQufwcPUQp3L3cm3sE3w/9302+d6IJCQxHZcDWZtHGg+xQthCXAgyKo6y3FmB7ToEJYWIIvNA7ef80YGLOVaI8OB8jde2Bdg0HeF4SeTYqTYAtqea/fWblkOL5vKPh7u5trPOse0xHphrMCMs0Ot2EpYVdmdg/f1JDhdD6BMCW1sL7NvbyR8dPcI3VvXw2OO9nCjJOFh8Ze4UNzZW0lgI8KaeEkcKoIgwXw2wozrO9V3d/L93DHJ9V5n9zgGGH1pJ0VC5+5EBzm3LIAK7MjLR3X08nTK4qE1Ft0WGc04zCaWrIQmw1ICluk3eMOk90s/XT1nszC7nsrY6Sw1I5cI4LvzTPUPsWjJZF1c5ttjC4ymJ7+d/wDnK6/HvGeJn82Xuv6eF67qibIrVCcomB092MFZR2PtcJ/N1kYNZk0l3kas7EqQm/YyUfXzo6N/w/p7PIO8dZFvXErOlMBVL4OGFGq7r8pqWMPrjMn97NMKlHSIrpuu4Ljz3SBsP5Wc4nG8l5WbIinPsLRzjL7ZfT9FQGYwXqRkKd89qHKnkWb+/n5MVlfvTc7w7E+BADm6bq7JajvDESC/3zYiM6QYXxpL0hQT+x+zDxPZczuZkgXMjSRq2zfcnDeaFOc7x9fL9R5fTrpkM5MrMNxREAQqlAIeLAfoCBv0Bm7QhEZRciobK2TGHxxdcFo06vf4A73o8SVbMc+VUH3+8PMOdE0mmKzZnR2127upmQ9TgO+PNuCPPpdvoCMB0TeaxVALTcfm0ZnDHuEPWqbDSH+e+yt3c3PpmiqbM7ZNFdEFnS1s7ZVPloVQZGRGfJDBXE1kRDDFWtoipLneMuaSdLBtiSVpUiwcWVI6V4rxr0OHBeRndXoYmufQHq0zoBU7NJ/mfxwLIooAkCKx1LyAj5vin492sjQn0BWB2Ic4PCjs5y93Ew9V9hEiSd2eYq11Aw7HxiRITz4d5etHhgv0t+OVmgr2RexX2pdsJyA5f2b6C1RGDgGRjOiKtmkHdknm+UOLY4Vbuno2zYdLkvhmR9akY/QGLp/JL/P0Pl3NFe5GsriEJLq2+BocKYe7JzDIgtDPjZGkINS4OLOOn5QfZknwN+woFNsXDfOtYL/0Bm4Khcv98EQOLU+5uVgpbmCpGKJgyf/foSh7ILPDGNh+rLIntSyWmxeN0l89nS9Lhy8djXJqLUbMFsobAZNnh7KjLZMXkuDNO1pnCdW1WhS/h+ZkO9uY0+p+Jc2f+QQ4ULuL/WeHHJzn8edcQecNgdUzl/sIIS6e6CMtJjhTqHHi+HVVyuHNPjAtbTPakTTJ2lU+v9rFUd9m1o5tvpHfzL/Gzefxg87rfm7HpDSXJNhzmqgGW6vDFxRoBQcN2HVbt7WV7ymFDvIVvpkZYF+nnuUyFiKyS0GRqjsmzGZ02xc/TP2vnqbRKzhjgs9N7qdnn8L3JGoFvtjEQqnHPbIQtPpd03WJPOcfmQ734JJu0rqKKzakbOxYtruiSyDSgzacxU1P42azOO5Yp3DMXpGS4XN7hMBDy8bVD/cxWHZ5s7OdNkXN47FAfXz5ZY304xslKjV6/CiTZkZZxMDmQtRmRRX42G+W6nijlMZFnl1yeM49xU+s6cgZYDoyWdHxP9fP0kkCX348kws9P9vJkCiaqCTZEG3xh9hjLHx3kqSWZqVqNwyc6mD/g42hJxRqFazqbCXFl0WXXyR52ZHwEZBdJaGNZuJnEcHlQ4qnRHuKqxc4lh56gwu5cmYCg8FRKp2oleTA7x1mVDtbEgizUHJ5MF9kUjTF0tIPHFsPsrk+z2uzmoD2KcmANp8oue+rT3Oj0EZBayesuk+UQP5lWuXd2BYdLZdpVhx5/B7rt8r8m83TKEa6KfoT703OorsZ4KYz4yAoO5ByOFGNcY6hsjBn8bE7Cdl12PdmJKLjsemw5k1WJyx2JvCGz1LA5XmrwuvFWvnw8xGsmRHySy78+FOfG3iKCABPlOkVdZaEW4IdTEmG5lQfm4FlzN2dzHgm1jYIh45Mc7j+wDGXYZV1cYqGuUjAlVNHlS8d9dE8tJ6QIFA2Xo+UCPYEIiw0VSXD5YfEeDPsNdNp9PDpvMu/m2DnWzVRNYXgHrIi4ZHUfR5+M89RSjf6AxlgxwvsO/w1dsdeyVb6YgbDMgXyNLUk/tgsPpcqMlkLcU7mHf1Su58ixfqZrAkt1hzsyB/nC4AYA0g2XafEU50rrOZLX+ecT7VxXqhNSTMarPv5xZpJOt4PDzpMcyFzHbTMLTFW72Z7NsCaQ4OGFfuKaSMX2oT/ay0xdpU0z+X56hJXCMibdFEknwRPFL/OGxH/lsfpdfHH5O2nVLL40VkByZQLSAB8f+zHny6/HpMiYcIjXKBfxxVKM13c7xBSLnVk/I0WLvB7hweohBuzlfPTeIdbEBDbFamQNGb/kcPdsgrwex3Th/KRDp7+Z3NN1XfZkXCqWxUPH++l1EhzJOwTlOOW5BBHFxXYFvj28jJDsklBt9uZkDhWqLA8FOFEtstwf5flMDQeX/VmVcTPzO/5l+OI4goPwEtbceCM3TV60NI/H4/F4PB6Px/Oq4I3ceDwej8fj8Xg8rxDempuXx+vceDwej8fj8Xg8rxBe5+bl8To3Ho/H4/F4PB7PK4QXUODl8To3Ho/H4/F4PB7PK4SDjYD9kvbzeJ0bj8fj8Xg8Ho/nFcP9RRrPl7Kfx4uW5vF4PB6Px+PxeF4lvJEbj8fj8Xg8Ho/nFcLLc/PyeJ0bj8fj8Xg8Ho/nFaK55ubFT67y1tw0eZ0bj8fj8Xg8Ho/nFeOlRUvDG7kBvM6Nx+PxeDwej8fziuG4Ni9lWXxzP4/XufkPcMjdwYKxAh8h7sjcSbUxyUD8aobd3ahymFlxBLMyyN7Cbaf3qWgpREEm4Rtkl3k/ll2noS+wKfpubEfnLw8ESKgi0+IUz6cH2ZOO0xOEjw6bvKEjwh77EKdy9zIY/n+pmC73VHYiCheh2358ogkuPFL+Gl2RLcxkHiekfIYjxQodmp+RYoygAqZbY2c2QLbhcqhUICr6GaKfn2fmyAuLnCyuo83fPN7/caKBKek8saSxN19EFmIYbp0fTsdYqrtoEjy91IHpuPyo+BPmam/ggfK/EFE+wEwtwHZjJ9n6Sd7IO5nXa0yJo8RoJ8ss/zpxLhny/Dy/SF7vR7ddbjuVwHJcZqoNjgtH8ZU2Ml3x8cPCd6g1pnlGuo3owgcZEfaw0j2H0aLLWNlPp9/PjnSNmptnrBzjRLXAnsZPaPGv5Kl0LyMFi8GIyLvaP83RcoGSEeb/NzPJGncD62LQqmrsMPewI3MhuuNj2sjy93Nz3Bg7m7mayT2zIQ7kv0xn7Bb2Fm5jS+z9LDgH+depGBXTRZsLUDQcsrrBs8WvsGbur9hZP0lZSLPm8aO8LX4TDar8pPB1BiN/gSw67Cp+FZEPclEijuva7M1K3HTk+3yw+0Psy0scFw6zVD/OkVIBSfgwo9UGl7S2sjNd4dxkkLsmWzlZdJj2q7T54GjBoSMgcqriQxMFNMlhVDjAKV3BL0UZzd+DyR8wM9yPX3Z52tjJqsJrmCgrhBWBw+5xRnI/Zln8dZxvbySiiAzXF1BdjdfuPkCpMYMs+pigHdd1yDRcHk+pDBs/wsXhiYW38z/nRgiKcVL2ce4Yv4YTjSWOmU8iiW8jIMEhDqJJYX48s4b7K88xnX+UD/R+hjcfWAAWmJ8YYnnYB8RoiLPcMiwxJx5mtribrYF3YGJxIP8tzg/8FU+mDGqOxePFr9MXu4yn6z9grf9ajjUept2/jmfMBwhISRaK+wkc+CA/KXyD2Kn30bCbx32w0Mbz6Rp9QR8lw+ZEUeH72W9xS9/7Wao7nGSUE6Uf86Vjn2SPPcx0ZR2HzVlmF+JsjIVZEE6xNxPnnkWdCWcnbwhdg+X48MkCh0o/RAm/k+HKT5ClABlnnC5pLd+fDHHMuZ8jxev5X0s/5ObWtzFRdpgQj9NwSuSqx3nW3st7TlxOjC463Db2Fm5jQPoUzy5ZjAr7KesLPKM20Ga2sdCo83jKjySAT4aH6o8TS1+BiMWcMUypOkJv/HK+fkojZVTo88ncMZ4gWx7mcEjnR1PXI4sCmgTfmF8k4kSoi0V268/xrfF3MidM8T+OdDPGJAnH5WjRx8OFv+fK2Me5dveX+cPW/8Jd0wEyjZPcOXkuzxh76XdWYWDxoX0ySdnmlrExtqiraJWDHHAOERKS3D83gO6Y/LdDCtP6bn4wtQJF0HnGfIx2ZxULzlGK9UnOC/4R35mIc0fqv/PJwc9gY3HPtMNe6wEGU2/l+7m7eUfi3VQtB1kUKAt5fjzTSsmwiagSCU2gbDboDmg8sWCz3XyCq31X8L1xh6iisC8n8b9S3+Jc35tIFmLcU3mKvspZRAnhE0KcKhlMVgQkJJ6tTrNe7WG4vsDSZJKwLNDi9nFv+fus1a4mTph7ZxQkwWHCzCGKEofyNlXLZskuUxAzPLSwiqWGzk9mfIQUuDW1mzeGt/DgQplnFzUuUM7ipzMiI6UqR4Xn+ZsjF9Lmk/hO6r/j4jJV+TQ/zN/Ou1v+lNFqiQ5VZsxM8630AutYy0H2o6a3sKs6TauT5HnzR7xZfBvT4ikGnBUM20/SWb2O441HmXbaKJmXA3DEfoJnZ0YpGv+Fhm0zZexmXLfo8m3gX5emWXRGaRWH+G/jt/KW/F9w1Jpg/6iPw9V7eVPsz9hZ+x5hp4c9p3poc3uwBJu7s19gKPFGXBxy5jj7aosIqfdyb+4LXB37BAXdj18WmKlXOCHso3XmEp4rz9OOzIKQ4W/GvsUftf0lpuMwKY3x8eE+AoLB9pRCXJNI1Q1uKuRZIwUZF8c4auZpmX8NPynchjH6Xu4rfQNRlHlOzTJzciMiIlPGbnxyjAulS2gPwI5Fi96ghCqKzNtZFksynXIYw2l+Jh+c20zNsWhRNFaJr+GR+g76WccUKU7UHuYdR8NcpL6BlJBmptbKQt2PKvp5snIroen3c3fu71gffxez5n4EReBYQWfY3cE3xy5higmOVX7KnHQVqhhiT04iVbPY7xwjVT+MIvm5f3YTcU3k6cok4/mfYcV12twBJksGitjHUl0jpIgM0M3DlW/QGT6Hh+YlJuzd3JNfQyfdPFB7nPXCRZQMBcNWGC9rTFcsfpxtvg9Pmz9jtXQJTxS/zKrEjZRtg4aRY+eSiyBIHDUep1w7Sdv0Jwkp7QQEhePCBLnaOPfpk1TrkzxnvomF+jBvivwhs0aJsBLD54Y44DxBqXYBS40YTyxIlJ0yHWqIE9YUIiJjxk4a1luZrJcZDIQYq5UYFfZRN3MwcR0FsUDNqFFeaOGwe5SrgptYqpscco9zKncvAV8fV/j/kFHxMCeqJhGxg4OlhzCsMnH/MjKF41hW+Xf+2/DF+H3Jc7Nt2zY2btzIP/zDP/xW2/WipXk8Ho/H4/F4PB4EQXjB8sUvfvF0HV3X+dCHPkRLSwvBYJAbbriB2dnZl/3c27ZtO/18oijS3t7OW9/6Vqampl5UO17nxuPxeDwej8fjeYVwsV9yebkWFhbOKN/85jcRBIG3vOUtp+t85CMf4e677+YHP/gBO3bsoFKpcN1112HbL//5b775ZhYWFpibm+Pee+9lZmaGd77znS+qjd+bzs3c3BzvfOc7SSaTBAIBNm7cyL59+16w7vve9z4EQfitD5N5PB6Px+PxeDz/Fudl/Hm5Ojo6zij33nsvl156KYODgwAUi0Vuv/12vvSlL3HFFVewadMmvve973H48GEee+yxX9tutVrl3e9+N6FQiM7OTr70pS+9YL1AIEBHRwednZ1s2bKFD3zgA+zfv/9FncPvRecmn89z8cUXoygKDz74IMeOHeNLX/oSsVjsV+rec889PP/883R1df3uD9Tj8Xg8Ho/H83vNxT297ubFFReAUql0RtF1/SUdx+LiIj//+c+56aabTm/bt28fpmly1VVXnd7W1dXFunXr2Llz569t65ZbbuHJJ5/k7rvv5pFHHmH79u2/dpDhl3K5HD/60Y+44IILXtRx/14EFPjCF75Ab28v3/rWt05vGxgY+JV6c3NzfPCDH+Thhx/m9a9//e/wCD0ej8fj8Xg8HnBdGxfhJe0H0Nvbe8b2v/7rv+azn/3si27vjjvuIBwO8+Y3v/n0tlQqhaqqxOPxM+q2t7eTSqVesJ1KpcLtt9/Od77zHa688srTbff09PxK3a9+9at84xvfwHVdarUaK1eu5OGHH35Rx/17MXJz3333ce655/LWt76VtrY2Nm3axG233XZGHcdxeNe73sUtt9zC2rVrf6N2dV3/ld6xx+PxeDwej8fzUr3caWkzMzMUi8XT5VOf+tSvPMedd95JKBQ6XZ555plfqfPNb36Td7zjHfh8vn/3mF3XRRBeuEM2NjaGYRhceOGFp7clEglWrVr1K3Xf8Y53cPDgQYaHh9mxYwdDQ0NcddVVlMu/eYS734vOzfj4OF/72tdYsWIFDz/8MO9///v58Ic/zHe+853Tdb7whS8gyzIf/vCHf+N2P//5zxONRk+X/7On7PF4PB6Px+Px/C5FIpEziqZpv1Lnhhtu4ODBg6fLueeee8bjzzzzDCMjI/zpn/7pGds7OjowDIN8Pn/G9qWlJdrb21/weFzX/Y2PPRqNMjQ0xNDQEBdffDG33347J0+e5K677vqN2/i96Nw4jsPmzZv53Oc+x6ZNm3jf+97HzTffzNe+9jWgOX/wH//xH/n2t7/9a3udL+RTn/rUGT3jmZmZ/6hT8Hg8Ho/H4/H8HvhdREsLh8OnOxFDQ0P4/f4zHr/99ts555xz2LBhwxnbzznnHBRF4dFHHz29bWFhgSNHjnDRRRe94HMNDQ2hKArPPffc6W35fJ7R0dF/9zglSQKgXq//xuf2e7HmprOzk7POOuuMbWvWrOEnP/kJ0OydLi0t0dfXd/px27b5+Mc/zj/8wz8wOTn5gu1qmvaCvWGPx+PxeDwej+elcN2XmMTT/e0k8SyVSvzoRz96wYhm0WiUm266iY9//OMkk0kSiQSf+MQnWL9+PVdcccULthcKhbjpppu45ZZbSCaTtLe38+lPfxpR/NUxllqtdnrtzuLiIn/zN3+Dz+c7I4DBv+f3onNz8cUXMzIycsa20dFR+vv7AXjXu971K2/I1Vdfzbve9S7e+973/s6O0+PxeDwej8fz+625dubFd1R+G6GgAX7wgx/gui5/+Id/+IKPf/nLX0aWZd72trdRr9e5/PLL+fa3v316lOWFfPGLX6RSqXDDDTcQDof5+Mc/TrFY/JV6t9122+l18fF4nLPPPpsHHnjgBdfn/Dq/F52bj370o1x00UV87nOf421vexu7d+/m61//Ol//+tcBSCaTJJPJM/ZRFIWOjo4X9WJ6PB6Px+PxeDwvx8uNlvZy/dmf/Rl/9md/9msf9/l83Hrrrdx6662/cZuhUIjvfve7fPe73z297ZZbbjmjzvbt21/0sb4QwX0xq3z+E/vZz37Gpz71KU6ePMmyZcv42Mc+xs033/xr6w8MDPCRj3yEj3zkI7/xc5RKJaLRKAI+Av4eqvVJVKUFw8yQCK/HcgxK1eYIUmvkXIr1SQwz84JtSVIQ266e/vua+NsASJlHMewqcW0A3alg2lUK1eP/+7jjV6O7FRYKz9IRvZABYQNVocqp2pPU9VlEsTmN7rXhP2dKHEUSFBpOkeXu2RyyHyekdKDgJ2eMUagepyN6IWGpg4X6MC4O1fokLZHNlOqzOK5Ba2gtmhBiyFnLY8X/yQ3x/8rjjbto962j1xnkqeI/EQmuIqS0kyruwnFNhhJv4FTuXgDOj72PcWcP+eopZCmAbqTYFv0I24v/QEf0QmpWjj71XAJuiJpQoUaRuepebKdBW+hsliqHsKwCkhSkM3wes4XtiKLG2ujbGKk8yPLQZSxax1HFEJ3iaibN3ehWGcMqEdDasR2dan2Swfh1ZIyTRNUeZvKPsy7+Do4W/pXVsRsZLT3EYPRy1rgrOch+CsY0ZymXcrB+H5t8b+S54tfYHPsT9hVupyN6IaniLt6c/CSLVgWAmlhl0R1jvvA0vfHLKRvzFKrHiQXXIIoyufJhAHrjl+O6NrOF7QCcFX87E7Ud9ATPYyz/MzqiF2K5OnUzR7UxjePorEi8CcvVWc96Um6BA5UfEQ+uwLQrWI5BpXYKRUniug5+rZVSdYQViTdxMnc3giATD60hVz6MX+uhPbCWEC0cK/6YtvBmeoR17C3cxjmxm9hXuJ14aC2l+gyKHMIws/RHL8d0ayxVj2CYGQK+PmTJT1Jdjo3JTP4xXFx6YttwcMjXx6nrs6xIvImCNUO6tBdFTuC4+ulrvSe2DRuThcKziKJGyD9AqTqCIMjEgqvoUTYza+4nXzkKgCgop1+XpeLz9MWvpOGUMKwScXUZGf0k5dpJlsVfx0T+gdOfE03tQDdSbIq/l2PVBzkreC0j9ccJaZ28Vr6MnfazyILGYvUw5/vfyjPFWxEQ6Iy9hoXiTlzXYn38XdSFEkE3xpSxm4DSiuFUyFWOoypxAmqSmpGlxb8SgFxjnKivl6XywdPnK0lBFDnKssBWxirbsewyseAQoqAAkK+ewrZLCAi4uPi0LroCm6m7eSrGEpIgU6ydRBQD2HYzWuOKxJtI6yfwyTFaxSEO57+LqrQR9nVRqI1j2yV8WheGmScaaCZlc12HC5XX82jlG4R93diuhSaFyVaOEgsOnb53qUoLruvguDrJ0DqWis/TGbsY3S6RKx8m6B+gWp8kGd6IKgVZKDxLJLiKdu0sUo0jAASVFhZLz9MS3kzNzBBQWsiUD6IqLSwPbkNCYc46SK58mFWJGynac6SKu063DRDw9bHGdyWT9j5ylSMIgsT66NsZzt/BObGbSAvT1Owspfo0q0LXcrx8PxtDb0UXGkScKIvSDKn6YTQ5QkVPoRspumKvJVM9ge00iAb6KdamEAWZ9tDZFPRpDKuEKkeo1MdPn7OAhCL6yVZH8KnJ0z8sKvXx0/f5qrGELPnp1NYzkvsxshwDIKR1UqgeRxBkXNdClmOEfd0YdpWA0oJfiuPiYLsmZWOB16hvZI/zJOnSXgbiV5N0e5hyDmA7OoPyFkaNpxnStmJiMG3spVwbYyh+PTPV52no84QDK4hpfczkH8endSGJKrXGLK5rnf6OOZ7/IQDhwArKtZMAqEoLXaFz0IQwo7mfnM6j0RLZTETqYiL/cwL+5iwInxwjWz5IMrwRw66ebqM3fjkz+cdJhNeTKx8+4/stGd5IWG5noTpMW3AtLfRRYJHJ/IMgSFwQ/VP2lL/LUPRaMuYpVCmIIgQIkWTeGKZQPY4sx2gNrUVCwXDriIiUjQUsu4HrOiSDKyjpcwz5LmE4f8fp7+VfXlOKnEBVIqzVrmbUfJpyYxqf2opp1TDMJWLBNShSkHRpL6rSRiKwnKqZwbLraHIYSdQQBZmKnqKuz9IXvxIZjaXGMWr6HH3RbUTpYDh/x+nXAMCv9eC4Fm3BtczkHycWXEOxdhLXtYgEV1GqjtAS2YwqhgiKSU7m7kaSIvRFtlJ1slT0Ber6PD61g87ARvLmBOuky6iIFQ6X78anJKg2JnFd5/T7+8tzHkq8AcXVyDpTpIu7uSD2PvZWfoBlFU4foyj6EQQF2y7RGjkX29UxrCq1xgyOayIg4Pf1UtdniYfWnj4vAEVOMBi5jLKzxHzhaXpi26jbBXKVQ7iugyj6ifgHKNZGaI9cQL4+QdjXdfreByALGvOFp0+3Z1o5hhJvIFU/TKU+jk/roiOwHhGF8V98R6aKu2iJbCZT+v/au/cgKaq7b+DfvndPz32H3dlhWZZ1cd0HVpBFAyLPGkXQRxTfvJWLpSV5xBiiq6KESpBUICbRP1Q0XtDEa1laQlmKUq+aVxAEjJpKFogYEy8EXOS2D7fdZe8zc54/Zqd3emYgsAgMy/dDdbHTfU736XN+58ye7ZnuDZAkFariR298P3IJAAm0tLTA7/fn2X5qpH+PDPvqIEuHvwpyOEmRwP62xoI7r5PtjLhyAwDTp0/H9OnTjzr94b5nQ0REREREhemMmdwQERERERW61A0FBvKxtG/mOzenO05uiIiIiIgKRgID+87IN/Odm9MdJzdERERERAUidQWGV24GipMbIiIiIqICwcnN8eHkhoiIiIioQCSRhDSQyc039Jyb013uo0GJiIiIiIhOQ7xyQ0RERERUIPixtOPDyQ0RERERUYFIPxD4ZOUbbDi5ISIiIiIqEAICGMD3Z8QAbyA96Aj6xrS0tAgAAlAEoApFCQhAFYAqVDUiJMkUsuxz1mUumetl2XZtkyRdlAWnuPLbVlVqG7ScYwGq0NRiEfKOESPD33X2oaoRYehlAlBF2Heek9a2qkQ0MFkAqtC1aKoMkuWU29DLcsqdPn56GR/8iQBUURf8sdDUYmEa5cJjVjrbTaPc+dljVgpJMnPqwGNWCkUJCK91tvCYlUKWfTnH0dTivvMxRTQwWahqxClzuh4j/gtEWXCKkGWfUNWIKA5MEooSFiNCVzt5AVUU+caLIt944fPUOOvS+48FL3HKlE5bHrrCOU5t6L8FoDr11t9WprN9ZPi7YlhomlDViNNWihLO2/6AKiyjwmmrIt94Ics+5zxtq8pVn+mlKvx/RWmwXowOzRQR/wWueMtOL0l6X6zklkFVIyLkHePaFrRr88ZjZpz47VE5sZc+j8w28XlqnNex4CVOPRt6WSq++uItsz5VNSIUJSxk2Sd0LZpT7swYyvw5vW9dizn7yVf2dL6I/wKnbU2jXJSHrhBFvvFOv0rXQ74+67XOdvr2EP+EnDqXZZ9QlLATT/kWTS0Wsmw756AoYaefpuslu37Tbe23Rzntml0PQ/wThGVUCF2LOXWSvaSPA6TGhHT+zPFB16IiaNe66lFTi0WRb7zQtaiQJNPVv9PlCXnHuNoyaNc64xWgCq91dsYxYk59udsq5vzf367RnFiRJUt4rbOFLNuiMnSNqx6Cdq2QJLOvT9muMSWz3NmLaZQ7+0mXK/1/ZvxmliGzjhQlICRozjHSMZDuT6mxK3V+tlUlVDWSM96ZRrkY4p8gZNkWseAlqTGhrw5tq8r5WddiTuxlt52ihJ04kiXLFVPpvqso4Zx8meeWPl7m67DvPFdcpft9un0MvczVZ7PHhex+ki5PRejKvDEqSaazv8yYt60qoWtREfadJ4J2rRjin+A6P1mynH2UButdMZy5f12LiiH+CcLQy5x6zRy7M8uUXp9ZZ7JkucYWXYu5XmemlSQzZ5/pxW+PctWZphbnjCupWPe56iFdhxH/BU7fyuxPqfYI5BxPliyhqcUiGpjs6rOaWnzYMmYume0qQXOOaehlIuQd42qPzCUzdmyrSkiS7vSHzLJlp0/XT3pb5ntL+ufiwKRUHWfUT3Y8p35Pg2hpaTnVvzq6pH+PtIwK4TErj3lJtUfhndfJxis3REREREQFYqDfneF3blJ4tzQiIiIiIhoUeOWGiIiIiKhADPR5NXzOTQonN0REREREBYIfSzs+nNwQERERERUITm6ODyc3REREREQFY6CTFE5uAE5uiIiIiIgKBq/cHB/eLY2IiIiIiAYFXrkhIiIiIioQvFva8eGVmxMg7BsLr1UJ2yxD0K6BotjwmUPh85wFr1UOXSuGqgZh6FEnT9CugqaG4THLUeSthaLY8NvVMI0YZNmL5vZPIEQcpj4EEf84tHdug6aGEfaNga5FELZrYOhRRPzjAACq4sGBQ3/HF/uXwzRi8FpnwWuUwtAC8FqV2N+2GUP84yHLFjq6mjBEroKuRSBJKipC0yAgoGsRBKwKdPfsRsiuhteqhK5FMMQ/HslkHIrixxD/eOhaBE3iY2hqGDvxT4Tskejq3omodS4AwGOWo6t7JwBAli30xg/BMmKpc5M0AIDfroalhWHpJdBVG13duxDwVMJQfVAUP0qDk1Ac+BZ64/shQYKhF2N3y4fwmUOhyKZzHK9Vjr2tG/D1wfdgm2WIxw/iYMcWJBKt2Hrgrb56LwYA7GvbhEPduyFEAkLE4fOMhM8aCkWxsfPgOgBAUsQBAAc7vkAAqfYKeUfhn21vIuyrxcGur2BbFfCY5QAA2yyHzzMSe5Kfp+pe8sPSh6TKZw1HMtkBANDUMBTFD1UNOj9rqg1VDcJrnYV9bZuQTHZCVfzY3/EFLC2Mjq4myLLVFxMWAODL/W9g18E/4Yv2d7G3dQMAYIh/PCTIMFQfdC11rhH/OMiyF367Gj5zKELeUdC1CACgNDgJ8fhB+LQYJEmGJMko8o3FwfZ/oMg3FpJkwDRisIwyqGoQANDTuxd+uxqt7Z857RoL/idMI4bO7q/htSqhqkFIkKDIFoJGOWTZgq5FsPPgOvTG98PnGYlEsgua4kFS9EKChN0tHwIALKMMFf56aKoXfqsCJd4xSCRaURqclIpvNQjbLEdpcBIMPQqvNQKmEYOhRxH1nYdoYCJ6epuhqWEYWhCSpPaV04BtlKTayqrA0MBFaO9uRtOBlfCY5fCbwxAX3djXtgnRwETIkgFVsZx+6vOMdPZVFrgIhzr/haCnEqYexf+0/hWKbEBTwwCAYaFLIUkyQnaVE0/loctgGWUI+2ohSSr8djVsowS2WQ6PWYZY8D8hRC/iiQ7YVgUUxefElq5F4Ler0dn9Nfa2boAsG2ht/wxD/Oc7dWab5Yj4x6ViQFJwjueyVGxbQxHxj0PQrnHaGAAsLeS03wjlAmhqEKXBSdjfthkAYOhR9PTuRVvXDphaGF6rEl6rEqZehLaunfCZZRAijq7unQh5R6XqRgj47WocOPR3RPzjYBmpftjS/k8E7HMQ9tUCAA51/guypEFR/DD1EHStGNWBq2BbFQj7amEaMfTG96fOXfVClnX4PCMRsf8DALCn5SP4PCOhKDaC3nMAAKZegn8d+H8QIo4i31jIkoaWji9gGTH41RiC9tnwG0NRGpwEWbagyDoAQFHsvn5lQJYNhLyj0NW9E8OC30ZpcBIU2YKmhjE0cCG8ViUUxYShR6EpHsiyAVUNIil6ocgmyoIXQ9ciMPUh0PUSdHXvhKL40Z1odeLI0KMIeiqhq16YRgzJZBzx+EG0d27rez+ogc+TGkfbundC14pQIp2FYt9YWOYwBO0adHbvgoDoG0886O49CE0NY3/bZthWBWTZQk/v3lT8yzq8ViWSohdhXy0so6xvvEr9L0ky9rdtRtCugaaG0dO7F7KkwjRiUBR/aozTIjCNWN94ZWN/22aU+uqc2CuyquDzjITXLAUAdPfsRtBTCVk2UmOrORSWUebEkKaGYVsV8HlGIpnshKLYSCTase3A/3fG2VT/DUCWLQgRh9zX94RIQlFsKIrdV2cyOnr24WD7P9CdaEPQrknt2yxH0HsOunt2w7YqsOvgn/ra249EshOlwUmQJBmmEUNP714E1WHwmTGnj4ftasiygZLAhL56Sq33W8MAwOknulaMIt8YaKoXEiREAxPht8qgyCZk2YLXqkRYq4RllMHnGQkh4gh6/wOK4ocsG/CY5dC1SOq9vWsXVDUIv12NnngrLGMIOrqa+trUgCxbONT5LySTnc7YIEkqrL5xLZ7oRNSqTR0n2ZXqX0YMIWsESnx1CPtqEbRrAAAjw/8HSdGL3vh+7G75EAcO/T3VVp6RCHgqEPKNdt5r0ob4x6M48C14rUp4zHKoiuW8l2haEYJ2lfO7zYFDf8eh7t3wWpVOfo9ZjqBd4/Rtj1mOZDIOTY2gp7cZYV8t/HZ16vcP+2wnvhQl9T7f2v4ZRoT+CwH7bJhGDG0dX6AiNA0A0NbxBWRJQ0fP/0CWPQh4quG3q6GpYVhaCLKkwdCjfe+Lhf3rrxACQiQHsIhTXfSCwCs3REREREQFIwFAGkA+Tm6AQp+6ngJLlizBiBEjYJom6urqsH79+lNdJCIiIiI6Qwzsqk2SNxTow8lNhmXLlmHOnDlYsGABNm7ciMmTJ+OKK65AU1PTqS4aERERERH9G5zcZFi8eDFmzZqFm266CTU1NXj44YcxbNgwPPHEE3nTd3d3o7W11bUQEREREQ1c8jgW4uSmT09PDxobGzF16lTX+qlTp+KDDz7Im+e+++5DIBBwlmHDhp2MohIRERHRYCWSA1+Ik5u0vXv3IpFIoKSkxLW+pKQEu3fvzptn/vz5aGlpcZbt27efjKISERER0SAljuPf6eTiiy/GnDlzvvH9cnKTRZLcd6cQQuSsSzMMA36/37UQEREREQ3cqftY2qFDh9DQ0ICysjJYloWampqcr2d0d3fjtttuQyQSgW3buPrqq/H1118f97EvvvhiSJIESZIgyzJKSkrw3e9+F1999dUx7YeTmz6RSASKouRcpWlubs65mkNEREREdGIIQAxg+Qau3Nx555344x//iBdffBH/+Mc/cOedd+K2227DG2+84aSZM2cOli9fjqVLl+L999/HoUOHMH36dCQSieM+/o9+9CPs2rULO3bswBtvvIHt27fj+uuvP6Z9cHLTR9d11NXVYeXKla71K1euxIUXXniKSkVEREREdHJ8+OGHmDlzJi6++GJUVFTg5ptvxpgxY/DXv/4VANDS0oJnnnkGDz74IKZMmYLzzjsPL774IjZv3oxVq1Yddr/t7e244YYb4PV6UVpaigcffDBvOo/Hg2g0itLSUkyYMAG33norNmzYcEznwMlNhrvuugtPP/00nn32WWe22tTUhNmzZx9V/vSTYVNPvM9cRNbrzPuRp2bameuTIp6RJ+k8qTaVLomkSLh+7s/j3ta/72ROmQCRcRyBhOjJOH6vc8ykk7a/7OljCSEyjtv/f1LE+/L05ilL9lN3+88/edg6E679CmTWR8JVN+lzS2/LXxe5ddO/r4RTJriOk6ojd1vltmV6H+myJkSvqxz959vfrv0/J/KcQ7pNEln111/G7HPsb5/+ukkeJg7T6dPt1d+uiax8+WO2v0z9x3XVkROncWTGcXY9pts183z6y5PIKGPc1W7Z55odg7lx5o4Ld5mz49fdp/rLLJz66q+j3HhMn3Nm/sxzytcemX0yN7ayY0Mcpk4Sznn09+vM/tWfN7MN02nT+8uO/9xxLX/diIz9uuomo3+4x4P+eku46sc9PmTHgsg8ZlZMu2M3M57668Y9rmb2yczy92bEWLp9Mvt9Ims/SVf6zP1n9+HMMTWz3Miqp/T2hOjJind3f8kuR+5Yk6dNssbI3PE0mVHeuGtd9hjfXzeJPG2Q3VfddZgZz/nGh8xzyY6d7HHdvX93PWbnzTyn9HidzDhefx+Ou8qYeY457Y70+1Xm+3fC1fdd/SWjr7vH2/66c7dj/venzPNPx7pwxVs8p40Sfe2XL/Yyx4vM7e79uN9nssfi/ONW/ve4w7Vfdvv2j6OZY21vxv7yjwvCVbfpfQHp39sKj4BA8piX9Hll38m3u7v7qI980UUXYcWKFdixYweEEFizZg0+//xzTJs2DQDQ2NiI3t5e1w24YrEYRo8efdgbcAHAvHnzsGbNGixfvhzvvPMO3nvvPTQ2Nh6xLPv378crr7yCb33rW0ddfgCAIJfHH39cDB8+XOi6LsaNGyfWrl171Hm3bNniHgW4cOHChQsXLly4FOSyffv2E/gb5bHr7OwU0Wj0uM7J6/XmrFu4cOFRl6G7u1vccMMNAoBQVVXoui5eeOEFZ/tLL70kdF3PyXfZZZeJm2++Oe8+29rahK7rYunSpc66ffv2CcuyxB133OGsq6+vF5qmCdu2hcfjEQDE2WefLbZu3XrU5RdCCBXkcsstt+CWW24ZUN5wOAwAaGpqQiAQ+CaLRVRQWltbMWzYMGzfvp030qBBj/FOZ5IzId6FEGhra0MsFjvVRXExTRNbt25FT0/PgPch8twIyzCMnHQvvfQSfvzjHzuv3377bUyePBmPPPIIPvroI6xYsQLDhw/HunXrcMstt6C0tBRTpkw5puOmbdmyBT09PZg4caKzLhwOo7q6OiftddddhwULFgAA9uzZg3vvvRdTp05FY2MjfD7fkU++Dyc33yBZTn3KLxAIDNoBgSgT7xJIZxLGO51JBnu8F+ofoU3ThGmaJ/w4V199tevjXkOHDkVnZyfuvvtuLF++HFdeeSUA4Nxzz8WmTZvwwAMPYMqUKYhGo+jp6cGBAwcQCoWc/M3NzYf9jro4ho//BQIBVFVVAQCqqqrwzDPPoLS0FMuWLcNNN910VPvgd26IiIiIiM4gPp8PVVVVzmJZFnp7e9Hb2+v8sT5NURQkk6nbTNfV1UHTNNcNuHbt2oVPPvnksJObqqoqaJqGjz76yFl34MABfP755/+2nIqiAAA6OzuP+tx45YaIiIiI6Azn9/tRX1+PefPmwbIsDB8+HGvXrsULL7yAxYsXA0hdWZk1axbmzp2LoqIihMNh/PSnP0Vtbe1hP7bm9Xoxa9YszJs3D0VFRSgpKcGCBQtyJlEA0NHR4TyWZc+ePfjNb34D0zRdNzD4dzi5+QYZhoGFCxfm/Wwj0WDCWKczCeOdziSM9zPb0qVLMX/+fFx33XXYv38/hg8fjt/+9reuOwc/9NBDUFUV3/ve99DZ2YlLL70Uzz//vHOVJZ/7778fhw4dwtVXXw2fz4e5c+eipaUlJ91TTz2Fp556CgAQCoVw7rnn4q233sr7/ZzDkcSxfBCOiIiIiIioQPE7N0RERERENChwckNERERERIMCJzdERERERDQocHJDRERERESDAic3R7BkyRKMGDECpmmirq4O69evP2L6pqYmXHXVVbBtG5FIBLfffnvOU2Y3b96M+vp6WJaFoUOH4p577jmmhxsRnSjHGu+SJOUsTz75pCsN450Kzbp163DVVVchFotBkiS8/vrrR5133759KCsrgyRJOHjwoGsbY50KzX333Yfzzz8fPp8PxcXFuOaaa/DZZ58dMc++fftw+eWXIxaLwTAMDBs2DA0NDWhtbXWlY7xTIePk5jCWLVuGOXPmYMGCBdi4cSMmT56MK664Ak1NTXnTJxIJXHnllWhvb8f777+PpUuX4tVXX8XcuXOdNK2trbjssssQi8Xwl7/8BY8++igeeOAB597hRKfKscZ72nPPPYddu3Y5y8yZM51tjHcqRO3t7RgzZgwee+yxY847a9YsnHvuuTnrGetUiNauXYtbb70VH330EVauXIl4PI6pU6eivb39sHlkWcaMGTOwYsUKfP7553j++eexatUq122AGe9U8ATldcEFF4jZs2e71p1zzjni5z//ed70b731lpBlWezYscNZ9/LLLwvDMERLS4sQQoglS5aIQCAgurq6nDT33XefiMViIplMnoCzIDo6xxrvQggBQCxfvvyw2xnvVOj+XQxnWrJkiaivrxfvvvuuACAOHDjg2sZYp0LX3NwsAIi1a9ceU77f/e53oqyszHnNeKdCxys3efT09KCxsTHnaahTp07FBx98AABYtGgRKioqnG0ffvghRo8ejVgs5qybNm0auru70djY6KSpr693PRhr2rRp2LlzJ7Zt23biTojoCAYS72kNDQ2IRCI4//zz8eSTTyKZTDrbGO90OsoX659++inuuecevPDCC3mfqM1Yp9NB+oGJ4XDYWXe4sT1t586deO2111BfX++sY7xToePkJo+9e/cikUigpKTEtb6kpAS7d+8GAEQiEZx11lnOtt27d+ekD4VC0HXdyZMvTfp1Og3RyTaQeAeAX//613jllVewatUq/OAHP8DcuXNx7733OtsZ73Q6yo717u5uXHvttbj//vtRXl6eNw9jnQqdEAJ33XUXLrroIowePdpZn29sB4Brr70WHo8HQ4cOhd/vx9NPP+1sY7xToePk5ggkSXK9FkI46xoaGvDuu+8eMX12nsPt83B5iU6mY433X/ziF5g4cSLGjh2LuXPn4p577sH999//b/eZbz1RociO9fnz56OmpgbXX3/9EfMx1qmQNTQ04OOPP8bLL7+csz57bAeAhx56CBs2bMDrr7+OLVu24K677nJtZ7xTIePkJo9IJAJFUXL+AtHc3Jzz14q0aDSak/7AgQPo7e118uRL09zcDACH3S/RiTaQeM9nwoQJaG1txZ49ewAw3mlwWL16NV555RWoqgpVVXHppZcCSPWbhQsXAmCsU2G77bbbsGLFCqxZswZlZWVHlScajeKcc87BjBkz8Pvf/x5PPPEEdu3a5WxjvFMh4+QmD13XUVdXh5UrV7rWr1y5EhdeeGHePBMnTsQnn3zidH4AeOedd2AYBurq6pw069atc90e+p133kEsFjviZ16JTqSBxHs+GzduhGmaCAaDABjvNDi8+uqr+Nvf/oZNmzZh06ZNzsdz1q9fj1tvvRUAY50KkxACDQ0NeO2117B69WqMGDFiwPsBUh/RBBjvdBo4VXcyKHRLly4VmqaJZ555Rnz66adizpw5wrZtsW3bNiGEEI8++qi45JJLnPTxeFyMHj1aXHrppWLDhg1i1apVoqysTDQ0NDhpDh48KEpKSsS1114rNm/eLF577TXh9/vFAw88cNLPjyjTscb7ihUrxB/+8AexefNm8eWXX4qnnnpK+P1+cfvttztpGO9UiNra2sTGjRvFxo0bBQCxePFisXHjRvHVV18JIXJjPduaNWty7pbGWKdC9JOf/EQEAgHx3nvviV27djlLR0eHkyY73t98803x7LPPis2bN4utW7eKN998U4waNUpMmjTJScN4p0LHyc0RPP7442L48OFC13Uxbtw41+0TFy5cKIYPH+5K/9VXX4krr7xSWJYlwuGwaGhocN0qUQghPv74YzF58mRhGIaIRqNi0aJFvHUiFYRjife3335bjB07Vni9XuHxeMTo0aPFww8/LHp7e137ZLxToUlPTrKXmTNnCiHyj+358mdOboRgrFPhyRfnAMRzzz3npMmO99WrV4uJEyeKQCAgTNMUI0eOFD/72c8Y73RakYTgI2WJiIiIiOj0x+/cEBERERHRoMDJDRERERERDQqc3BARERER0aDAyQ0REREREQ0KnNwQEREREdGgwMkNERERERENCpzcEBERERHRoMDJDRERERERDQqc3BARneEWLVqEsWPHnupiEBERHTdJCCFOdSGIiOjEkCTpiNtnzpyJxx57DN3d3SgqKjpJpSIiIjoxOLkhIhrEdu/e7fy8bNky/PKXv8Rnn33mrLMsC4FA4FQUjYiI6BvHj6UREQ1i0WjUWQKBACRJylmX/bG0H/7wh7jmmmtw7733oqSkBMFgEL/61a8Qj8cxb948hMNhlJWV4dlnn3Uda8eOHfj+97+PUCiEoqIizJgxA9u2bTu5J0xERGc0Tm6IiCjH6tWrsXPnTqxbtw6LFy/GokWLMH36dIRCIfz5z3/G7NmzMXv2bGzfvh0A0NHRgW9/+9vwer1Yt24d3n//fXi9Xlx++eXo6ek5xWdDRERnCk5uiIgoRzgcxiOPPILq6mrceOONqK6uRkdHB+6++26MHDkS8+fPh67r+NOf/gQAWLp0KWRZxtNPP43a2lrU1NTgueeeQ1NTE957771TezJERHTGUE91AYiIqPCMGjUKstz/96+SkhKMHj3aea0oCoqKitDc3AwAaGxsxJdffgmfz+faT1dXF7Zs2XJyCk1ERGc8Tm6IiCiHpmmu15Ik5V2XTCYBAMlkEnV1dXjppZdy9jVkyJATV1AiIqIMnNwQEdFxGzduHJYtW4bi4mL4/f5TXRwiIjpD8Ts3RER03K677jpEIhHMmDED69evx9atW7F27Vrccccd+Prrr0918YiI6AzByQ0RER03j8eDdevWoby8HN/5zndQU1ODG2+8EZ2dnbySQ0REJw0f4klERERERIMCr9wQEREREdGgwMkNERERERENCpzcEBERERHRoMDJDRERERERDQqc3BARERER0aDAyQ0REREREQ0KnNwQEREREdGgwMkNERERERENCpzcEBERERHRoMDJDRERERERDQqc3BARERER0aDwv3FdHXz5DAQjAAAAAElFTkSuQmCC", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import librosa\n", "import librosa.display\n", "import matplotlib.pyplot as plt\n", "\n", "# Load audio file\n", "audio_file = 'm2_script1_iphone_livingroom1.wav'\n", "#audio_file = 'file_example_WAV_5MG.wav'\n", "audio, sr = librosa.load(audio_file, sr=None)\n", "\n", "# Compute spectrogram\n", "spectrogram = np.abs(librosa.stft(audio))\n", "\n", "# Display spectrogram\n", "plt.figure(figsize=(10, 4))\n", "librosa.display.specshow(librosa.amplitude_to_db(spectrogram, ref=np.max),\n", " sr=sr, x_axis='time', y_axis='log')\n", "plt.colorbar(format='%+2.0f dB')\n", "plt.title('Spectrogram')\n", "plt.show()\n", "\n", "# Compute MFCC coefficients\n", "mfcc = librosa.feature.mfcc(y=audio, sr=sr, n_mfcc=13)\n", "\n", "\n", "# Display MFCC coefficients\n", "plt.figure(figsize=(10, 4))\n", "librosa.display.specshow(mfcc, x_axis='time')\n", "plt.colorbar()\n", "plt.title('MFCC Coefficients')\n", "plt.show()\n", "\n" ] }, { "cell_type": "code", "execution_count": null, "id": "e80be7de", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.16" } }, "nbformat": 4, "nbformat_minor": 5 }