A_Practical_Tutorial_on_Monopole_Antennas.ipynb

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        "\n",
        "# A Practical Tutorial on Monopole Antennas\n",
        "\n",
        "Name: John Hodge\n",
        "\n",
        "Date: 04/28/24"
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        "Monopole antennas are a fundamental topic in electromagnetic and radio frequency engineering, offering a practical and theoretical base for understanding many types of antenna systems. Below, we'll delve into a graduate-level overview of monopole antennas, covering their basic characteristics, theoretical background, practical applications, and some advanced considerations.\n",
        "\n",
        "## 1. Introduction to Monopole Antennas\n",
        "\n",
        "A monopole antenna is essentially half of a dipole antenna standing on a conductive surface, which acts as a mirror to create the image of the other half, thus forming a complete dipole in theory. This type of antenna is often mounted vertically, with the ground (or a ground plane) serving as a reflector to direct the radiated energy upwards.\n",
        "\n",
        "## 2. Basic Characteristics\n",
        "\n",
        "- **Type**: It is a type of resonant antenna.\n",
        "- **Polarization**: Monopole antennas radiate vertically polarized radio waves.\n",
        "- **Radiation Pattern**: They typically exhibit an omnidirectional radiation pattern in the horizontal plane, with a toroidal shape.\n",
        "- **Impedance**: The typical input impedance of a quarter-wavelength monopole is about 37 ohms, lower than the 73 ohms of a half-wave dipole.\n",
        "\n",
        "## 3. Theoretical Background\n",
        "\n",
        "### 3.1 Resonant Length\n",
        "\n",
        "A monopole antenna commonly operates at a fundamental resonant length of \\($\\lambda/4$\\) (where \\($\\lambda$\\) is the wavelength of the frequency of operation). The presence of the ground plane halves the necessary physical length of the antenna compared to a dipole, which is typically \\($\\lambda/2$\\).\n",
        "\n",
        "### 3.2 Image Theory\n",
        "\n",
        "The image theory helps explain the behavior of monopole antennas by considering the ground plane as a perfect conductor that reflects the antenna above it. This reflection creates an image of the antenna, effectively forming a dipole that allows the monopole to radiate effectively.\n",
        "\n",
        "Certainly! Let's dive deeper into the theoretical aspects of monopole antennas, with a focus on the electromagnetic principles, equations, and mathematical analyses that govern their operation.\n",
        "\n",
        "### 3.3 Input Impedance\n",
        "\n",
        "The input impedance \\($Z_{\\text{in}}$\\) of a monopole antenna is crucial for matching the antenna to the transmission line to ensure maximum power transfer. For a quarter-wave monopole, the theoretical impedance is about 37 ohms in free space, which is derived from the impedance of a half-wave dipole (73 ohms) divided by 2 due to the image effect. The general impedance of a monopole over a real ground can be more complex, factoring in ground conductivity and permittivity.\n",
        "\n",
        "### 3.4 Radiation Pattern and Gain\n",
        "\n",
        "The radiation pattern of a monopole antenna is omnidirectional in the horizontal plane. The gain of an ideal quarter-wave monopole is theoretically about 5.15 dBi in the horizontal plane, reflecting a directive gain over an isotropic radiator due to the radiation being concentrated in the upper hemisphere. The radiation intensity \\($U(\\theta)$\\) for a monopole can be approximated by modifying the dipole radiation formula, assuming perfect ground reflection:\n",
        "\n",
        "$ U(\\theta) = U_0 \\sin^2(\\theta) $\n",
        "\n",
        "where \\($\\theta$\\) is the angle from the zenith (vertical axis), and \\($U_0$\\) is the maximum radiation intensity.\n",
        "\n",
        "### 3.5 Antenna Efficiency and Bandwidth\n",
        "\n",
        "The efficiency of an antenna is affected by its construction and the environment. For monopoles, this often involves the quality of the ground plane. The bandwidth of the antenna is related to the quality factor \\($Q$\\) of the resonant circuit formed by the antenna:\n",
        "\n",
        "$ Q = \\frac{f_r}{\\Delta f} $\n",
        "\n",
        "where \\($f_r$\\) is the resonant frequency and \\($\\Delta f$\\) is the bandwidth. For narrowband antennas like a simple monopole, \\($Q$\\) is high, leading to a narrow \\($\\Delta f$\\). Techniques like thickening the antenna or using loading coils can reduce \\($Q$\\) and increase \\($\\Delta f$\\).\n",
        "\n",
        "### 3.6 Effect of Ground Plane\n",
        "\n",
        "The ground plane size and characteristics significantly affect the performance of a monopole antenna. The ideal case assumes an infinite, perfectly conductive ground. In practical scenarios, the ground plane's finite size and less-than-ideal conductivity modify the effective input impedance and radiation pattern. These effects can be modelled using the method of moments or numerical simulation techniques.\n",
        "\n",
        "## 4. Practical Applications\n",
        "\n",
        "- **Broadcasting**: Used in AM broadcasting where large physical antenna sizes are required due to the longer wavelengths.\n",
        "- **Vehicles**: Common in automotive applications, such as car radios where the roof acts as a ground plane.\n",
        "- **Portable Devices**: Widely used in portable wireless devices, including handheld radios and mobile phones.\n",
        "\n",
        "## 5. Advanced Considerations\n",
        "\n",
        "Advanced designs might include multiple or non-linear elements to achieve specific performance criteria like multiband operation or increased bandwidth. For instance, a discone antenna combines a disc and a cone (which acts as a monopole) to operate over a wide range of frequencies.\n",
        "\n",
        "These equations and principles provide a detailed theoretical foundation for understanding and designing monopole antennas in various practical applications, ranging from simple handheld radios to complex broadcasting systems.\n",
        "\n",
        "### 5.1 Bandwidth Enhancement\n",
        "\n",
        "Monopole antennas typically have a narrow bandwidth when designed as simple quarter-wave antennas. Several techniques can enhance the bandwidth:\n",
        "- **Top-loading**: Adding a capacitance at the top of the antenna.\n",
        "- **Using thicker elements**: Increases the effective electrical length.\n",
        "- **Multiple Resonances**: Utilizing additional resonant elements near the main monopole to broaden the response.\n",
        "\n",
        "### 5.2 Height above Ground\n",
        "\n",
        "The height of the monopole above the ground plane can affect its radiation pattern and impedance. Ideally, the ground plane should be at least as large as the radius at which the field strength has significantly diminished, or practical considerations dictate it to be at least \\($\\lambda/4$\\) in radius.\n",
        "\n",
        "### 5.3 Ground Plane Effects\n",
        "\n",
        "For ideal operation, a perfectly conductive and infinitely large ground plane is assumed. In practice, finite and less conductive ground planes can introduce additional resistive losses and modify the radiation pattern and impedance. Using radial wires or a mesh can help simulate a larger and more effective ground plane."
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      "source": [
        "## 6. Practical Computations and Visualizations for Monopole Antennas: A Python Tutorial"
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        "### 6.1 Install Necessary Packages\n",
        "Before we start, ensure you have Python installed on your computer. You will also need numpy and matplotlib. You can install these packages using pip:"
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            "Requirement already satisfied: numpy in /usr/local/lib/python3.10/dist-packages (1.25.2)\n",
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            "Requirement already satisfied: six>=1.5 in /usr/local/lib/python3.10/dist-packages (from python-dateutil>=2.7->matplotlib) (1.16.0)\n"
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      "source": [
        "!pip install numpy matplotlib"
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      "source": [
        "### 6.2 Importing Libraries\n",
        "Let's start by importing the necessary libraries."
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      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt"
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        "### 6.3 Define Antenna Parameters\n",
        "We'll define the speed of light and the frequency to calculate the wavelength and the length of the monopole antenna."
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        "# Constants\n",
        "c = 3e8  # Speed of light in meters per second\n",
        "\n",
        "# Frequency (in Hertz)\n",
        "frequency = 300e6  # 300 MHz typical for FM radio\n",
        "\n",
        "# Calculate wavelength\n",
        "wavelength = c / frequency\n",
        "\n",
        "# Monopole length is a quarter of the wavelength\n",
        "monopole_length = wavelength / 4\n",
        "print(f\"Monopole Length: {monopole_length:.2f} meters\")\n"
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          "text": [
            "Monopole Length: 0.25 meters\n"
          ]
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        "### 6.4 Calculate Input Impedance\n",
        "For a quarter-wave monopole, the impedance in an ideal scenario:"
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        "# Theoretical impedance of a half-wave dipole\n",
        "half_wave_impedance = 73  # Ohms\n",
        "\n",
        "# Impedance of a quarter-wave monopole\n",
        "monopole_impedance = half_wave_impedance / 2\n",
        "print(f\"Input Impedance of Monopole: {monopole_impedance} Ohms\")"
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            "Input Impedance of Monopole: 36.5 Ohms\n"
          ]
        }
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        "### 6.5 Step 5: Plot the Radiation Pattern\n",
        "The radiation pattern of a monopole is omnidirectional in the horizontal plane and can be modeled by $\\sin^2(\\theta)$ in the vertical plane."
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        "# Define the theta range from 0 to 180 degrees\n",
        "theta = np.linspace(-np.pi/2, np.pi/2, 181)\n",
        "\n",
        "# Radiation pattern\n",
        "radiation_pattern = np.sin(theta)**2\n",
        "\n",
        "# Plotting\n",
        "fig = plt.figure()\n",
        "ax = fig.add_subplot(111, projection='polar')\n",
        "ax.plot(theta, radiation_pattern)\n",
        "ax.set_theta_direction(-1)\n",
        "ax.set_theta_zero_location('N')  # Set theta=0 to the top of the plot\n",
        "plt.title(\"Radiation Pattern of a Monopole Antenna\")\n",
        "plt.xlabel(\"Theta (radians)\")\n",
        "plt.ylabel(\"Relative Intensity\")\n",
        "plt.show()"
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HmZkZZDIZbr31Vq08l/SBSS2S1yMXvtmzZ2PHjh3YsGEDAOC3336Dl5cX/vjjD6ULf+PGjUrru7u748yZM+DxeEo3WXFx8bD7Pnr0KIRCIY4cOaL0djeYK0XdSj1yV1pxcfGAt9Di4uJBXW3jyW+//YYVK1Zg69atimUCgWBA9K+q4xvqO29vb/B4PJUiPZ6M17lW95ypg7GxMe666y4cOHAAt912G2xsbAZtNx7H4u7ujn///Rc9PT1KvcmioiKlfcqR956up6SkBCYmJopekomJyaD3VlFREeh0OlxdXQe1xdvbG0B/D2w018sff/wBgUCAXbt2DTiHxcXFePPNN5GamooZM2aMaLuqrm0AsLOz0/r13dnZiTNnzuDdd9/F22+/rVg+2O9zMzOpxyRvJDExETExMdi+fTsEAgGA/962rn+7ysjIQHp6utK6CxcuhEQiUUrbkEql+PLLL4fd72D76Orqwt69ewe0NTU1VeshGR0dDTs7O3z99dcQCoWK5SdOnEBhYaHW8+MYDMaAN+cvv/xyQKqAvPrMYMc41LE/8MADSE9Pxz///DPgOy6XC4lEMnrD1WC8zrW650xdXnnlFWzcuBFvvfXWkG3G41gWLlwIqVSKHTt2KC3/7LPPQKPRcNtttyktT09PVxrvqq2txeHDh3HLLbeAwWCAwWDglltuweHDh5XSYZqbm/Hjjz9ixowZQ7rGo6Ki4O3tjS1btoDH4w34Xu7OHYoDBw7Ay8sLTz31FO677z6lzyuvvAIzM7NR5UwOdd0vWLAAFhYW+OijjwbNNx7O3rEw2HMJALZv3z5u+9RHqJ7kDaxbtw73338/9u3bh6eeegq33347/vjjD9x9991YtGgRKisr8fXXXyMoKEjpJlu8eDGmT5+ODRs2oKqqCkFBQfjjjz/U8tvfcsstMDIywuLFi/Hkk0+Cx+Nh9+7dsLOzQ2Njo1LbqKgo7Nq1Cx988AF8fHxgZ2c36HiFoaEhNm/ejFWrViEhIQEPPfQQmpub8fnnn8PDwwMvvfTS2E/WCLj99tvxww8/gM1mIygoCOnp6fj3339hbW2t1C48PBwMBgObN29GV1cXmEymIn90qGNft24djhw5gttvvx0rV65EVFQU+Hw+rly5gt9++w1VVVVD9pw0wXida3XPmbqEhYUhLCxMZZvxOJbFixdj9uzZeOONN1BVVYWwsDCcOnUKhw8fxosvvqjoLckJCQnBggUL8Pzzz4PJZOKrr74CALz77ruKNh988AFOnz6NGTNmYM2aNTAwMMA333wDoVA45Hgr0F9047vvvsNtt92G4OBgrFq1Cs7Ozqivr0dSUhIsLCxw9OjRQddtaGhAUlLSgAAkOUwmEwsWLMChQ4fwxRdfwNDQUO1zpOq637VrF5YvX47IyEg8+OCDsLW1RU1NDY4dO4bp06cPePnQFBYWFpg1axY++eQTiMViODs749SpU6isrByX/ektOoqq1SmqwvClUinx9vYm3t7eRCKREJlMRj766CPi7u5OmEwmiYiIIH///TdZsWIFcXd3V1q3vb2dLF++nFhYWBA2m02WL19OcnNz1UoBOXLkCAkNDSUsFot4eHiQzZs3kz179hAASrlQTU1NZNGiRcTc3JwAUKREDFV+65dffiERERGEyWQSKysrsnTpUlJXV6fUZsWKFcTU1HTAuRjMzsEYKk/yejo7O8mqVauIjY0NMTMzIwsWLCBFRUXE3d2drFixQqnt7t27iZeXF2EwGErHNNSxE9IfKv/aa68RHx8fYmRkRGxsbEh8fDzZsmWLIu9LHvr+6aefDnmsN5Znk18r1/8GQ6HOuR5JCshIztlg4P9TQFQx1HFr+rrp6ekhL730EnFyciKGhobE19eXfPrppwNy7eQ2HzhwgPj6+iruucFSgnJycsiCBQuImZkZMTExIbNnzx6QdzrUfZGbm0vuueceYm1tTZhMJnF3dycPPPAAOXPmzJDnauvWrQSAyjb79u0jAMjhw4cJIf0pIIsWLRrQLiEhYUA601DXvfw4FixYQNhsNmGxWMTb25usXLlSKVVG3d9D1X0AgGzcuFHxd11dHbn77rsJh8MhbDab3H///aShoWFAu5sZGiE6iEigoKCgGAQajYZnnnlm3HpHFBQjhRqTpKCgoKCgGAJKJCkoKCgoKIaAEkkKCgoKCoohoKJbKSgo9AYqRIJC36B6khQUFBQUFENAiSQFBQUFBcUQUCJJQUFBQUExBJRIUlBQUFBQDAElkhQUesDOnTvh4eEBFouF2NhYZGZmKr4rLi7G9OnT4eLigg8++ECHVlJQTD4okaSg0DG//PIL1q5di40bNyInJwdhYWFYsGCBYv6+Z599FsuWLcPhw4dx+PBhpKWl6dhiCorJAyWSFBQ6Ztu2bXj88cexatUqBAUF4euvv4aJiQn27NkDoH/KoqioKISGhsLJyWlUU2VRUFCMDkokKSh0iEgkQnZ2ttJcgXQ6HfPmzVNMx/bee+9h3rx5MDExAZ1Ox4IFC3RlLgXFpIMqJkBBoUPa2toglUphb2+vtNze3l4xKfHChQvR2tqK7u5uxaTDFBQU2oHqSVJQTACYTCYlkBQUOoASSQoKHWJjYwMGg4Hm5mal5c3NzXBwcNCRVRQUFHIokaSg0CFGRkaIiorCmTNnFMtkMhnOnDmDuLg4HVpGQUEBUGOSFBQ6Z+3atVixYgWio6MRExOD7du3g8/nY9WqVbo2jYJi0kOJJAWFjlmyZAlaW1vx9ttvo6mpCeHh4Th58uSAYB4KCgrtQyPU3DQUFBQUFBSDQo1JUlBQUFBQDAElkhQUFBQUFENAiSQFBQUFBcUQUCJJQUFBQUExBJRIUlBQUFBQDAElkhQUFBQUFENAiSQFBQUFBcUQUCJJQUFBQUExBJRIUlBQUFBQDAElkhQUFBQUFENAiSQFBQUFBcUQUCJJQUFBQUExBJRIUlBQUFBQDAE1VRYFhY4ghEAoFKKnpwe9vb2QyWSKT3V1NUxNTWFjYwM6nQ46nQ4DAwOYmZnBzMwMhoaGujafgmJSQIkkBYUGEIvFaG5uRkNDAxobG9HY2Kj4f2trK3p6esDj8dDT06P4P4/Hg0QiAQDQaDQwGAyFIAoEAgAAi8WCTCaDVCqFVCpV7I/JZMLMzAzm5uZK/1pYWMDBwQGOjo5wdHSEk5OT4v9ywaWgoFAfaj5JCgo1IISgpaUFJSUlik9paSkqKirQ0NCAtrY2AICtre0AcbKzs4O5ubnic6O4mZubg8lkgkajKfYnFotx/PhxLFy4UNFrlMlk6O3tVYjtjaLb09ODrq6uAWLd2NgILpcLAwMDODg4wNnZGd7e3vDz81N8fH19YWFhoZNzS0Ghz1AiSUFxHYQQ1NbWIjs7G/n5+Uqi2N3dDRcXFyVx8fLygpOTE5ycnGBnZ6cxN+hgIjkW+vr6FIJZV1eHsrIyxXEVFxejs7MTDg4OiuPy9/dHeHg4oqKiYGlpqYEjoqCYmFAiSTFpIYSgpqYG2dnZSp+Ojg4EBQUhPDwcAQEBCuHw8fGBqampVmzTtEgOR3t7u9ILQWFhIXJyclBdXQ1PT09ERUUpfaysrMbdJgoKfYASSYpJg0gkQmZmJs6dO4cLFy7g0qVL4HK5CA4OVhKA0NBQmJiY6NRWbYvkULS1tSEnJ0fpJaKqqgoeHh6YOnUqEhISkJiYiKCgICV3MQXFzQIlkhQ3LSKRCFlZWUhKSsK5c+eQlpYGMzMzJCYmYtasWZg6dSpCQ0NhbGysa1MHoC8iORjt7e3IyclBRkYGkpOTkZqaCjMzM4Vgzp49G4GBgZRoUtwUUCJJcdNACMGVK1fw999/IykpSfHwTkxMVHwmysNbn0XyRuQvI+fOncO5c+eUzvvcuXNx++23w9nZWddmUlCMCkokKSY0IpEIycnJOHLkCI4cOYL29nbccsstmDdv3oQSxRuZSCJ5I9f34E+dOoW0tDSEh4fjjjvuwOLFixEeHj4hfxOKyQklkhQTjvb2dpw4cQJHjhzByZMnYWFhoXgAz549GywWS9cmDolUKoVEIlH8e/1HfivK001qa2sRHh4OAwMD0Gg00Gg0GBgYDPjI8yv1lba2NqXfy9LSEosXL1b8XkwmU9cmUlAMCSWSFBOCrq4u/P777zh48CCSk5MRFhamEMaIiAid9UwIIRCLxRAIBEofoVCo9LdYLFYSQgBDCh2NRkNHRwcAKKVfyGQyJVG9vriAvCKPkZERWCyW0ofJZCr9bWCguxoiQqFQqeff2dmJO+64A0uXLsX8+fMnXK+Z4uaHEkkKvUUkEuHEiRM4cOAAjh49ipCQECxduhT33XcfXF1dtWqLWCwGn88Hj8dT/Ht91RwGgzFAnK4XKCMjIyVBZDAYKoVdHXcrIURJMMViMUQi0ZBCLRQKIZPJFNV65B9TU1PFv9rskRJCkJeXh59//hk//vgjhEIhlixZgmXLliEmJmbQ85OSkoJPP/0U2dnZaGxsxJ9//om77rpL5X7OnTuHtWvX4tq1a3B1dcWbb76JlStXjs9BUdx0UGXpKPQKmUyG1NRUHDx4EL/++ivYbDaWLVuG999/HwEBAeO+f0II+Hw+uFwuurq6wOVy0dPTA6FQCENDQyVRcXBwgJmZGUxMTHTSA6LRaDA0NFR734QQiEQiJZHv6OhAbW0teDweZDIZTE1NYW5uDg6HAzabDQ6HM27uaxqNhoiICERERGDTpk1ISUnBgQMHsGDBAtja2mLp0qVYunQpfH19Fevw+XyEhYXh0UcfxT333DPsPiorK7Fo0SI89dRTOHjwIM6cOYPVq1fD0dERCxYsGJfjori5oHqSFHpBfX09vv/+e+zZswc9PT2KHkVcXNy4uVKvF0T5p6urCzKZDBYWFgqhsLCwgKmpKYyMjLTm1tV24A4hBH19feDxeOju7lacDz6fDxaLpSSa4ymcACAQCHDs2DEcPHgQx44dQ0REBJ544gksWbJEqZgDjUYbtie5fv16HDt2DFevXlUse/DBB8HlcnHy5MlxOwaKmweqJ0mhM2QyGU6fPo2vv/4ax44dw7x587B9+3YsXLgQRkZGGt8fIQQ9PT1ob29HW1sb2traIJFIFILo6uqKkJAQWFhY6HUgzHhAo9FgYmICExMT2NnZKZaLxWJ0dXUpetX19fXg8XiKGUpsbGxgbW2t0VxTFouFe++9F/feey86Ozvx008/Yfv27XjppZfwyCOP4Mknn0RISIha20pPT8e8efOUli1YsAAvvviixuyluLmhRJJC63C5XOzduxc7d+4Ej8fDY489hs8++wweHh4a3Q8hBDweTyGI7e3tkEgksLKygrW1Nby8vGBpaTnpBHEkGBoaKsRQjlgsVrxolJWVITs7W0k0bWxsNNbTtLS0xJo1a/D000/j4sWL+OabbzB16lTExMQAgGIWlaFoamqCvb290jJ7e3t0d3ejr69PLwtJUOgXlEhSaI2CggJ88cUX+OGHHxAeHo4PPvgA99xzj0Z7jVKpFG1tbWhqakJTUxNEIhGsrKxgY2MDLy8vcDgcMBgMje1vMmJoaAgHBwc4ODgAGFw05VN2OTg4gMPhjNlNTaPREBcXh7i4OGzduhV79uxBSkoKnnrqKRQXF+PJJ59UEnIKCk1BiSTFuJORkYFNmzbh5MmTePjhh3H+/HlERkZqbPtCoVAhiq2trWAymbC3t0dERASsra0pURxnbhRNkUiElpYWNDU1IS0tDQwGQ/G9jY3NmFNQrK2tsW7dOrz66qt44oknkJSUhI8++ghPPPEEXn75Zbi4uCjaOjg4oLm5WWn95uZmWFhYUL1ICrWgRJJiXCCE4MyZM9i0aRMyMzPx5JNPoqKiAk5OThrZfm9vL+rr6xVzJXI4HNjb2yMwMBDm5uZURRcdYmRkBBcXF7i4uEAmk6G9vR1NTU24cuUKhEKhYs5NR0fHMQclxcTE4KOPPsKlS5fw8ccfw8fHB0uXLsX69evh5+eHuLg4HD9+XGmd06dPIy4ubkz7pZg8UCJJoVFkMhn++usvbNq0CRUVFXjhhRdw6NAhjUytJBKJ0NDQgLq6OnR0dMDW1hbu7u6IiYnR6yo7kxk6nQ5bW1vY2toiJCQEPT09aGpqQkVFBS5fvgwHBwe4uLjA3t5erbFhHo+HsrIyxd+VlZXIy8uDnZ0dfvvtNzzxxBM4e/YsDh48iMWLF+ORRx7Bjh078Oqrr+LRRx/F2bNn8euvv+LYsWPjedgUNxFUCgiFRpBKpfjxxx/x0UcfoaenBy+//DIef/xxmJmZjXm7zc3NqK2tRUtLCywsLODq6gpnZ+ebupzZRK7dqi7d3d2oq6tDXV0dJBIJnJ2d4eLiAisrqyE9AefOncPs2bMHLF+xYgX27duHlStXoqqqCvv378fWrVvx3XffISgoCFwuFzU1NXBxccFbb71FFROgUBtKJCnGBCEER48exeuvv47e3l688cYbWLZs2ZgEjBCCzs5O1NTUoL6+HkwmU+G+G6voThQmg0jKIYSgo6MDdXV1qK+vh6GhIVxcXODu7j7meT1bW1vx+eef4/PPP8fs2bPx0UcfqZ0+QkEBUCJJMQYuXLiADRs2oLS0FG+99RaeeOKJMUWqisVi1NXVobq6Gnw+Hy4uLnB1dYWlpeWkG2OcTCJ5PVKpFC0tLaipqUFzczPs7Ozg4eEBe3v7MV0DLS0t+PDDD/Htt9/igQcewHvvvQd3d3cNWk5xs0KJJMWIuXLlCl5//XUkJyfjlVdewUsvvQRzc/NRb6+npweVlZWoqamBmZkZPD094ezsrNNC3Lpmsork9fT19aG6uhrV1dWg0Wjw8PCAu7v7mLwUlZWV2LhxIw4dOoSnnnoKb7zxBpU6QqESKouaQm2qqqrwyCOPICYmBt7e3igvL8fbb789KoEkhKCxsRFpaWk4d+4cJBIJpk+fjsTERLi7u09qgaTox9jYGAEBAZg/fz5CQkLQ2tqKU6dOITc3F11dXaPapqenJ/bv34+MjAyUlpbCy8sL77//Png8noatp7hZoESSYlj6+vrwzjvvIDg4GABQWFiI7du3w9bWdsTbkslkqKmpwdmzZ5Gfnw8bGxvccsstiIyMVJoWioJCDp1Oh5OTE6ZPn46EhATQ6XScP38e6enpaGtrw2icYaGhofj7779x7NgxnDhxAv7+/vjll19GtS2KmxvK3UqhkqNHj+KFF16AtbU1du7cqSgHNlIkEglqampQVlYGOp0OX19fuLi4UIn+Q0C5W1UjFApRUVGByspKmJmZwc/Pb9TjloQQ/Pjjj3jllVcQFBSEL7/8EkFBQeNgNcVEhOpJUgxKRUUFFi9ejJUrV2LDhg24ePHiqARSLBajuLgYp0+fRk1NDYKDgzF37ly4u7tTAkkxaphMJgIDAzF//nw4OjoiLy8PSUlJqK2thUwmG9G2aDQali5diuLiYoSFhSEqKgrr1q1DT0/POFlPMZGgRJJCCblrNSQkBE5OTigpKcETTzwxYkETiUQoKCjAqVOn0NraisjISCQkJMDZ2XnSRapSjB+Ghobw9fXF/Pnz4enpiaKiIpw5cwbV1dUjFksLCwts27YNmZmZyMzMREBAAH7++WfKBTvJodytFApOnDiBZ555BtbW1vjqq68wderUEW9DIpGgoqICZWVl4HA48Pf3h7W19ThYe3NDuVtHh0wmQ319PYqLi0Gj0RAYGAhHR8cRv5hd74INDAzE119/DT8/v3GymkKfoXqSFOByuVi1ahUefPBBrF+/HhcvXhyxQMpkMlRVVeHMmTNoaGhAdHQ04uPjKYGk0Cp0Oh2urq6YM2cOvLy8kJ+fj5SUFLS2to5oO9e7YKdMmYKIiAhs27YNUql0nCyn0FeonuQk58SJE3j88ccREhKC3bt3w9XVdUTry1M5CgoKAACBgYFwcnKiXKpjhOpJaga5Z6O0tBSWlpYICgoCh8MZ8XbOnz+PRx99FPb29tizZw/Vq5xEUD3JSQqXy8Wjjz6KBx98EO+++y5OnDgxYoFsb29HSkoK8vPz4ePjgzlz5lBjjhR6hYGBAfz8/DB//nyw2WxcuHABly5dQm9v74i2M3PmTFy+fBnR0dGIjIzEZ599RvUqJwlUT3IScvLkSaxevRrBwcH47rvvRiyOAoEA165dQ2NjI/z8/ODl5UUl/2sYqic5PvT19aGwsBANDQ3w8/ODt7f3iIPSUlJSsGrVKjg5OWHv3r3w8fEZJ2sp9AGqJzmJ6OnpwerVq7FkyRK88847OHny5IgEUiaToby8HGfOnIFMJsPcuXPh5+dHCSTFhMHY2BiRkZGIj49HQ0MDkpKSBkzKPByzZs1Cfn4+IiIiEB4eji+++IKKgL2JoXqSk4S8vDwsWbIEzs7O2LdvH9zc3Ea0fltbG/Lz80EIQWho6Kiq7VCoD9WTHH8IIaisrERhYaFivsuRzjqSnJyMRx55BGFhYdi7dy8VqHYTQvUkVbBr1y6EhobCwsICFhYWiIuLw4kTJxTff/vtt0hMTISFhQVoNBq4XO6AbXh4eIBGoyl9Pv74Y6U2u3fvhru7OyIiIpCRkaHRYyCEYNeuXZg+fTqWLVuG06dPj0ggBQIBsrOzcfHiRbi6umL27NmUQFLcFNBoNHh5eWHevHkwNDTE2bNnUVxcPKKxxoSEBOTm5oLBYCA8PBypqanjaPFAPv74Y9BoNLz44ouKZYmJiQOeOU899ZTSekeOHIGfnx/8/f3x999/a9XmCQehGJIjR46QY8eOkZKSElJcXExef/11YmhoSK5evUoIIeSzzz4jmzZtIps2bSIASGdn54BtuLu7k/fee480NjYqPjweT/F9dXU18fHxIWlpaeTQoUMkMDBQY/Z3dnaSe++9lzg5OZFz586NaF2ZTEaqqqrI33//TbKyskhvb6/G7KIYHpFIRP766y8iEol0bcqkob29nSQlJZF///2XtLe3j2hdmUxGvvjiC2JiYkI++ugjIpVKx8nK/8jMzCQeHh4kNDSUvPDCC4rlCQkJ5PHHH1d65nR1dSm+FwgExMXFhZw+fZqcOnWKuLi4EKFQOO72TlSowSQVLF68WOnvDz/8ELt27cLFixcRHByseHs7d+6cyu2Ym5vDwcFh0O+6u7vB4XAQGhoKBwcH9PX1acJ0ZGZmYsmSJQgMDEReXt6Ien99fX3Iy8tDV1cXoqKihrSdguJmwsrKCrNmzUJZWRnS0tLg6emJgIAAtQJ7aDQannvuOcTHx2PJkiVISkrCDz/8AHt7+3GxlcfjYenSpdi9ezc++OCDAd+bmJgMed8KhUJFzxfojwAWCoVjmgv2ZoZyt6qJVCrFzz//DD6fj7i4uBGt+/HHH8Pa2hoRERH49NNPIZFIFN+FhIQgNDQUbDYbwcHBg17wI4EQgm3btmH27Nl45pln8Pfff6stkIQQVFdX4+zZs2AymZgzZw4lkBSTCjqdDj8/P8yaNQttbW04d+4cOjs71V4/KioKOTk5sLa2Rnh4OM6cOTMudj7zzDNYtGgR5s2bN+j3Bw8ehI2NDUJCQvDaa68ppbxYWFhg1apVcHR0hJOTE55++ukxzQd706Prrqy+k5+fT0xNTQmDwSBsNpscO3ZsQJukpKQh3a1bt24lSUlJ5PLly2TXrl2Ew+GQl156aUC7tra2Mbs0e3p6yL333kvc3d1Jenr6iNbt7e0l6enp5MSJE6SxsXFMdlCMHcrdqnukUikpLi4mR48eJVevXiUSiUTtdWUyGdm9ezcxNTUlmzdvJjKZTGN2/fTTTyQkJIT09fURQvrdq9e7W7/55hty8uRJkp+fTw4cOECcnZ3J3XffPWA7XC6XdHd3a8yumxVKJIdBKBSS0tJScunSJbJhwwZiY2NDrl27ptRGlUjeyPfff08MDAyIQCDQqJ2VlZUkNDSUzJ49m7S1tam9nkwmI9XV1eTYsWPk0qVL1NiEnkCJpP7Q1dVFkpKSyJkzZ0hHR8eI1r106RJxcXEhS5cu1ci4fk1NDbGzsyOXL19WLLtRJG/kzJkzBAApKysb8/4nI5S7dRiMjIzg4+ODqKgobNq0CWFhYfj8889Hvb3Y2FhIJBJUVVVpzMbz589j6tSpmDlzJv755x+1w9DFYjGys7NRUFCAiIgIREVFUeMSFBQ3YGFhgVmzZsHZ2RmpqakoKytTOy8yKioKWVlZqKioQEJCAurr68dkS3Z2NlpaWhAZGQkDAwMYGBggOTkZX3zxBQwMDAaNzI2NjQUAlJWVjWnfkxVKJEeITCaDUCgc9fp5eXmg0+mws7PTiD27d+/Grbfeig8++AA7duxQO6eOy+UiOTkZIpEIiYmJcHR01Ig9FBQjYefOnfDw8ACLxUJsbCwyMzNVtt++fTv8/f1hbGwMV1dXvPTSSxAIBONuJ51Oh7+/P+Lj41FZWYmMjAy1nwMODg5ISkpCcHAwpk6dOuwxqmLu3Lm4cuUK8vLyFJ/o6GgsXboUeXl5gwYZ5eXlAQB1j48WXXdl9ZkNGzaQ5ORkUllZSfLz88mGDRsIjUYjp06dIoQQ0tjYSHJzc8nu3bsJAJKSkkJyc3MV4eNpaWnks88+I3l5eaS8vJwcOHCA2NrakkceeWTMtolEIvLMM88QGxsbkpycrPZ6MpmMlJeXk6NHj5Li4mKNjpVQjAypVEpEIhERCoVEIBCQ3t5ewufzCY/HIw0NDeSvv/4iXC6X9Pb2kr6+PiIQCIhQKCQikeim+N1+/vlnYmRkRPbs2UOuXbtGHn/8ccLhcEhzc/Og7Q8ePEiYTCY5ePAgqaysJP/88w9xdHQcdIx/PBGJRCQjI4OcPHmStLa2qr2eTCYjn332GTExMSH79+/XmD3Xu1vLysrIe++9Ry5dukQqKyvJ4cOHiZeXF5k1a5bG9jfZoCruqOCxxx7DmTNn0NjYCDabjdDQUKxfvx7z588HALzzzjt49913B6y3d+9erFy5Ejk5OVizZg2KioogFArh6emJ5cuXY+3atWAymaO2q729Hffffz/a29tx+PBheHh4qLWeSCRCbm4uuFwuoqOjqeog44RMJoNAIFB8hELhoH8P1ROh0WgKd971/7+xDYvFAovFApPJVPz/xmVMJlNvC87HxsZi6tSp2LFjB4D+8+bq6ornnnsOGzZsGND+2WefRWFhoVLE6Msvv4yMjAxcuHBBa3YD/ZHgVVVVuHbtGnx9feHn56f2eT516hSWLFmCxx9/HJs2bRpx7dgbSUxMRHh4OLZv347a2losW7YMV69eBZ/Ph6urK+6++268+eabsLCwGNN+JiuUSE4wampqsGDBAvj7++PAgQMwMzNTa72Ojg5cunQJFhYWiIyMpMYexwghBD09Pejq6gKXy0VPT49C/EQiEQAoideNQib/29DQUFEVhU6nKx6015elMzAwAOkPsgMhBDKZDCKRaFABvn6ZWCwGjUYDk8kEk8mEsbExLCwswOFwwOFwwGKxdCagIpEIJiYm+O2333DXXXcplq9YsQJcLheHDx8esM6PP/6INWvW4NSpU4iJiUFFRQUWLVqE5cuX4/XXX9ei9f/R1dWFrKwsGBsbIyoqCiwWS631SkpKcPvttyM8PBw//PDDmF6aKcYXqpjABOLatWtYsGABbr/9duzcuVPtN9CqqipcvXoVgYGB8PLy0tuehb4ik8nA4/HA5XLB5XLR1dWFrq4uAFCIjpOT04AeHJ2umSF/uYhej5GR0bAvSFKpVEk0+/r60NXVhcbGRvT09MDIyEghmGw2GxwOB8bGxlq5Ptra2iCVSgck29vb26OoqGjQdR5++GG0tbVhxowZIIRAIpHgqaee0plAAgCbzUZCQgLy8/Nx7tw5xMTEwMrKatj1/Pz8kJqaikWLFmHhwoX4888/qZ6enkKJ5AQhNTUVixcvxvPPP4+NGzeq9SCTyWS4evUq6uvrMW3aNNjY2GjB0omNTCZT6iFyuVx0d3cD6H8gstlsuLu7g8PhwMzMTGNCOB4wGAyYmprC1NR0wHcSiQTd3d2KY2xqakJPTw8MDQ0Vgin/aEs4h+PcuXP46KOP8NVXXyE2NhZlZWV44YUX8P777+Ott97SmV2GhoaIjIxERUUF0tLSEBYWptbsOra2tjh79izuvfdeJCYm4vjx41TxDj2EEskJwNGjR/HQQw9hy5YtAwoVD4VIJEJWVhZEIhESEhJGPLvBZEIoFKK5uRlNTU1oaWkBAIVQeHp6gs1mw9zcXC+EQlMYGBjAyspKqdcjlUoVLwddXV0oLi5GT08PmEwmHBwc4ODgABsbmzGPoQFQbOfGaaqam5uHFIq33noLy5cvx+rVqwEAU6ZMAZ/PxxNPPIE33nhDpy8sNBoN3t7eMDc3x6VLl9Dd3Y2goKBhrxkzMzMcPXoUjz76KKZPn45Tp07B29tbS1ZTqAMlknrOnj178Nxzz2H//v2499571Vqnu7sbGRkZYLPZiI2NpeZ7vAFCCHg8HpqamtDU1ITOzk6w2Ww4ODjAz88PbDb7phJEdWEwGIMKZ3t7O5qamnD58mWIRCLY2dnB3t4eDg4Oox5LMzIyQlRUFM6cOaMYk5TJZDhz5gyeffbZQdfp7e0dIIRywdaX0Ao7OzvMmjULGRkZ6O7uRnR09LBpWUZGRti/fz9eeeUVxMfH48SJE4iMjNSSxRTDQT099RRCCD7++GNs3rwZx44dQ2JiolrrNTY2IicnB97e3vD395+UD/vBkMlk6OjoUAhjX18fbG1t4erqiujoaBgbG+vaRL2EwWDAzs4OdnZ2mDJlCnp6etDY2IiqqipcvnwZHA5H0cscaW977dq1WLFiBaKjoxETE4Pt27eDz+dj1apVAIBHHnkEzs7O2LRpE4D+CQe2bduGiIgIhbv1rbfewuLFizXSu9UUZmZmmDVrFrKzs5GSkoLY2Nhhx4/pdDq2bt0KR0dHzJ49G3/88Qfmzp2rJYspVEGJpB5CCMGbb76J77//HufOnVNU6x9unbKyMhQXFyMyMhJOTk7jb6ieIxaL0dLSgqamJjQ3N4NOp8Pe3h7BwcGwtbWletgjhEajKeZW9ff3h0AgULipS0pKlNyy1tbWw7o/lyxZgtbWVrz99ttoampCeHg4Tp48qQjmqampUdrGm2++CRqNhjfffBP19fWwtbXF4sWL8eGHH47rcY8GQ0NDxMbGoqCgACkpKZg6deqwEw3QaDSsW7cOdnZ2uPPOO/Hrr79i4cKFWrKYYiioFBA9gxCC9evX48CBA0hKSoK/v79a61wfoMPhcMbfUD2FEILW1lZUV1ejqakJpqamige3paXlhOlZX58Com4VJV0ikUjQ1tam6KkTQuDq6gp3d/dJP8NETU0N8vPzERERAWdnZ7XWOXToEFauXImffvoJd9xxxzhbSKEK6lVajyCEYO3atTh06BCSk5Ph6+s77DoymQw5OTngcrmYOXPmoJGMkwGBQICamhpUV1dDIpHAzc0NiYmJk/4BrS0MDAwULyOEELS3t6O6uhrnzp0Dh8OBu7s7nJycJmXv3c3NDUwmE1lZWRAKhfDy8hp2nfvvvx8MBgMPPfQQDhw4gLvvvlsLllIMxuS7YvUUQgheeukl/Pzzzzhz5oxaAikWi5GVlQWxWIyZM2dOuoRkea+xsrISzc3NsLGxQXBwMBwcHPQ6NeNmh0ajwcbGBjY2NpgyZQpqa2tRVlaGK1euwMXFBZ6enpMuJ9De3h7x8fG4ePEihEIhAgIChvVq3HPPPeDz+Vi6dCkOHDiAe+65R0vWUlwPJZJ6ACEE69atw++//47du3ejsbERXl5eKoNJhEIh0tPTYWRkhPj4+AnhktMUEokEtbW1qKiogFgshru7O6ZMmUKlueghRkZG8Pb2hpeXFzo7O1FVVYXk5GRYW1vDy8sL9vb2E8YFPlasrKwwc+ZMpKenQygUIjQ0VOXLXGtrKywtLfHll19i+fLlMDAwoFyvOoAak9QxhBC89tpr+OGHH5CcnAxvb2/k5eWhvb0d06dPH1Qo+Xw+0tPTweFwEBkZOWl6Tb29vaioqEB1dTVMTU3h5eUFZ2dnvYps1BQTbUxyJAiFQlRVVaGyshIGBgbw9PSEm5vbTXecQ9HX14f09HSYmpoiOjp60Ou3tbUVGRkZCA0NhZubG/744w8sX74cv/76KxYtWqQDqycvlEjqmHfeeQfffPMNzp07pwjSIYQMKZTd3d1IS0uDs7MzQkJCJsVbeHd3N4qKihSJ5l5eXrCysrqpj/1mFkk5MpkMDQ0NKC8vB4/Hg4eHB3x9fSdFXWGRSISMjAzQaDTExsYq/cY3CqQceTDP4cOHMW/ePF2YPSmhRFKHfPXVV3jzzTdx/vx5BAcHK303mFB2dXUhLS0Nnp6ekyIHsre3F0VFRaivr4e7uzt8fHwmjUt1Mojk9XR0dKC4uBgdHR3w8fGBt7f3TR/kI5FIkJmZCYlEgri4OBgaGg4pkHL279+PZ599FklJSYiKitKB1ZMPSiR1xG+//YaVK1fi1KlTiI+PH7TN9UI5ZcoU5OTkwMvLS620kImMUChEaWkpqqqq4OjoiICAgEkXtTvZRFJOW1sbrl27hr6+Pvj7+8Pd3f2mHk6QSqXIzMyESCSCn58fsrOzhxRIOVu2bMEnn3yCtLQ0+Pj4aNHayQklkjrg3LlzWLRoEX7++WcsXrxYZVtCCDIzM9HU1ARfX18EBQVpyUrtI5FIUF5ejrKyMlhZWSEoKAhsNlvXZumEySqSQP8139jYiMLCQhBCEBgYCCcnp5vWcyKVSpGamorOzk5MmTJFrRSRV155BX/++SdSU1OpoujjzM3tz9BD8vLycOedd2LHjh3DCiTQPx7X3t4ODoeDhoYGeHp63nQl1GQyGaqrq1FcXAwTExPExsZSM5ZMYmg0GpycnODg4IDa2lpcvXoVpaWlCAoKgp2dna7N0zgdHR3o6uqChYUFamtr4erqOuyL0SeffILm5mbcdtttSE5OnnQpNdqE6klqkYqKCkyfPh0vvPDCoDOv30h3dzdSU1Ph7e0NX1/fYaNeJxqEENTX16OoqAg0Gg2BgYFwdHS8aXsMI2Ey9yRvRCqVoqKiAqWlpWCz2QgKCoKlpaWuzdII149BOjs7IzMzE2KxWDFGqQqxWIw77rgDQqEQJ06cmHR50tqCEkkt0dLSgunTp2PRokX47LPPhhUCHo+HCxcuKIJ0ANVRrxONlpYWFBQUKBKrXV1db+qxp5FCieRAxGIxSktLUVFRAXt7ewQGBg5bOFyfGSxIRyqVIiMjAzKZDHFxccOmN/F4PMydOxdubm74+eefb8p0KF1DiaQWEAgESExMhKenJw4ePDisGPT19eH8+fNwdnZWK+p1IiEUCnHlyhW0tLTA19cXXl5e1I09CJRIDk1fXx9KSkpQW1sLPz8/+Pj4TLgXLFVRrBKJRFEoZOrUqcMeW1tbG2bMmIHbb78dW7ZsGU+zJyUT68qagBBC8MQTT4BGo2Hv3r3DXvBisRgXL16Era3toEE6NBoN4eHhsLa2RmpqKvr6+sbLdI3T0NCApKQkSKVSzJkzB76+vpRAUowYY2NjhIWFIT4+HrW1tTh//jy6u7t1bZbaDJfmYWBggNjYWPD5fFy+fHnYuTJtbGzw999/Y8+ePfjf//43XmZPWiiRHGe2bt2Ks2fP4o8//gCLxVLZVu5qkT8EhnLJTjShFIlEuHTpEvLy8hAcHIyYmJhhzwUFxXBYWVkhMTERNjY2SElJQUlJCWQyma7NUslwAinHyMgIcXFxaG1tRWFh4bDb9fHxwa+//oo1a9bg4sWLmjR50kOJ5Dhy/PhxvPPOO/jrr7/g6Oiosi0hBJcuXYJMJkN0dPSwPc6JIpSNjY04e/asovfo6upKBeZQaAwGg4Hg4OAJ0atUVyDlGBsbIy4uDtXV1SgvLx+2/bx587Bp0ybcfffdqKur04TJFKBEctwoKirCww8/jN27dyM6OlplW0IILl++DB6Ph2nTpqldaUSfhVIkEiE7Oxu5ublU75Fi3NH3XuVIBVKOubk5YmNjUVhYqJbwPffcc1i0aBHuuusuvXoeTGQokRwHOjs7cccdd2DNmjV46KGHhm1fXFyM5uZmxMfHj7hupT4Kpbz3KJFIqN4jhdbQ117laAVSjpWVFaZOnYq8vDy0tLSobEuj0bBz506wWCw89thjw45nUgwPJZIaRiKRYMmSJQgICMAHH3wwbHv5lE9xcXGjjlTVF6G8vvcYFBRE9R4pdMKNvcrS0lKd9SrHKpBy7O3tERYWhqysLPT09Khsy2Qy8ccff+DChQvYvHnzqPdJ0Q8lkhrmzTffRH19PQ4cODDsuGJnZycuX76M6OjoMVfM0LVQNjc34+zZsxCLxZg9ezbc3Nyo3iOFzri+V1ldXY0LFy6Az+dr1QZNCaQcV1dXeHp6IiMjAyKRSGVbOzs7HDlyBB9++CFOnTo15n1PZiiR1CAnT57Ezp078fvvvw8ren19fcjIyEBgYKDGSm3pQigJISgtLUVWVhYCAwMRGxs74XI3KW5erKysMHv2bHA4HCQnJ6O1tVUr+9W0QMoJDAyEubk5srOzh+0dh4eH48svv8SyZcvQ2NioMRsmG5RIaoiGhgY88sgj2LFjBwICAlS2lVf+t7OzU6uY8UjQplBKpVLk5OSgoqICM2bMgLu7O9V7pNA7GAwGQkNDERwcjIyMDFRUVIzrWN14CSTQf39HRkair68PBQUFw7ZfsWIFFixYgGXLlkEqlWrUlskCJZIaQCqVYunSpbjtttuwYsUKlW3lFXNoNJrKXMixoA2h7OvrU7iwEhISwOFwNL4PCgpN4u7ujvj4eJSUlODy5cvjMk45ngIpx9DQELGxsaipqUFNTY3KtjQaDV999RXq6urw0UcfjYs9NzuUSGqADz74AI2Njdi5c+ewbcvKytDW1oaYmJhxrTYznkLZ2dmJ5ORkmJubY/r06VRwDgV27twJDw8PsFgsxMbGIjMzU2V7LpeLZ555Bo6OjmAymfDz88Px48fH3U4rKyskJCSAy+UiLS0NQqFQY9vWhkDKMTU1xdSpU5Gfn4+Ojg6Vbc3NzfHLL7/g448/RnJy8rjadTNCieQYSUpKwieffIJff/112GLLzc3NKC4uRmxsrFaEZTyEsra2FqmpqfD19UVERARVVo4Cv/zyC9auXYuNGzciJycHYWFhWLBgwZDpCiKRCPPnz0dVVRV+++03FBcXY/fu3XB2dtaKvcbGxpgxYwZYLBaSk5PR1dU15m1qUyDlyEtXZmZmDntvh4eHY8uWLXj44Ye1Ni5700AoRk1zczNxdHQkX3/99bBte3t7yfHjx0lNTY0WLFNGJpORnJwccvr0adLb2zvqbVy9epUcO3aMNDc3a9hCihsRiUTkr7/+IiKRSNemDEtMTAx55plnFH9LpVLi5ORENm3aNGj7Xbt2ES8vL50fm0wmI8XFxeTo0aOkvr5+1NtpaWkhR48eJdXV1Rq0Tj1kMhnJzs4m58+fJ1KpdNi29913H7ntttuGbUvxH1RPcpQQQrBy5UrMmDEDTzzxhMq2MpkM2dnZcHBwgKurq5Ys/I+x9ijFYjEyMjLQ1NSEWbNm3ZQT31KMDnlu7Lx58xTL6HQ65s2bh/T09EHXOXLkCOLi4vDMM8/A3t4eISEh+Oijj7QeWEKj0eDn54eoqCjk5uaiqKhoxAE9uuhBXg+NRkNoaCiEQiFKSkqGbbt7924UFhbis88+05KFEx/16p9RDOD7779Hfn4+rl69OmzwTXFxMYRCIaZNm6Yl6wYiF8q8vDykpqaqPc0Wj8dDRkYGTExMMGvWLGraphFCCIFYLIZAIFB8hELhgL+lUikIISCEQCaTQSKRAABOnToFOp0OGo0GOp0OBoMBFos14MNkMhX/V7esoSZoa2uDVCqFvb290nJ7e3sUFRUNuk5FRQXOnj2LpUuX4vjx4ygrK8OaNWsgFouxceNGbZithKOjI2bOnImMjAx0d3cjMjJSrXOoa4GUY2BggKlTpyIlJQXW1tawtbUdsi2Hw8HBgwcxf/58LFy4EIGBgVq0dGJCzSc5CmpqajBlyhT8/PPPuO2221S2ld9Is2bNGnPBAE1ARjAfZXt7OzIyMuDu7o6goCAqvWMY+vr60NXVBS6XCy6Xi56eHggEAshksgHidr2oMZlMGBgYgEajKcSQz+cjMzMTM2bMAIPBgEwmAyEEEolESWBvFF1CCAwMDGBsbAw2mw02mw0OhwM2mz0uLzgNDQ1wdnZGWloa4uLiFMtfffVVJCcnIyMjY8A6fn5+EAgEqKysVIxpb9u2DZ9++qlO8/lEIhGysrIgEokQFxenMm5AXwTyeqqqqlBUVITZs2eDyWSqbPvKK6/gwoULSE1NpeIKhoHqSY4QQghWr16N++67b1iBFAgEyM7OxpQpU/RCIAH1e5Tyh0BISAg8PDy0b6geQwiBQCAAl8tVEkWhUAgzMzNwOBzY2trC29sbxsbGYDKZIxYo+W9iYWGh9rqEEIhEIgiFQvT29qKrqwvt7e0oLy+HQCCAqakpOByOQjQ5HM6YhdPGxgYMBgPNzc1Ky5ubm+Hg4DDoOo6OjjA0NFR6OAcGBqKpqQkikWjE9Ys1hXx6qtzcXFy4cGHYe0OfBBLoT3Fpa2tDdnY24uLiVL7Uvv/++4iIiMDWrVvx6quvatHKiQclkiPku+++Q2FhIQ4dOqSyHSEEOTk5sLGx0asbCRheKJubm5GVlYWwsDCdjKHqI2KxGM3NzWhubkZrayuEQiHMzc3BZrNha2sLX19fsNlsrbo6b4RGo4HJZILJZMLCwkJJpAQCgULQbxROe3t7ODg4wNraethSijdiZGSEqKgonDlzBnfddReA/jH4M2fO4Nlnnx10nenTp+PHH3+ETCZT7K+kpASOjo46E0g5dDodkZGRuHz5skIoTUxMFN/rq0ACUOReJycno7S0FH5+fkO2NTY2xt69ezFv3jwsXryYcruqgHK3joCamhqEhITg0KFDWLBggcq2JSUlqKmpQUJCgt6O4w3mem1sbER2djYiIiK0FpKvr/D5fDQ1NaGpqQnt7e0wNzeHg4MD7Ozsxl0QxWIxjh8/joULF47b9SMUCtHR0YHm5mY0NTUpxhblx6iuYP3yyy9YsWIFvvnmG8TExGD79u349ddfUVRUBHt7ezzyyCNwdnbGpk2bAPSnEQUHB2PFihV47rnnUFpaikcffRTPP/883njjjXE51pFCCMGVK1fQ1NSE+Ph4mJmZ6bVAXg+Xy8WFCxcQHx8PKysrlW3XrVuHlJQUpKam6vQFT5+hRFJNCCFYsGAB3Nzc8N1336ls293djZSUFEyfPh2WlpZasnB0XC+U3t7euHbtGqKiooadJPpmhBCCzs5OhTDyeDzY2NjAwcEBDg4OSj2K8UYbInk9hBBwuVyFYHZ3d8Pa2lohmsPlAO/YsQOffvopmpqaEB4eji+++AKxsbEAgMTERHh4eGDfvn2K9unp6XjppZeQl5cHZ2dnPPbYY1i/fr1ejY8RQlBQUIDa2loEBgbiypUrei+QckpLS1FdXY3Zs2erPKd9fX2IiIjAqlWrsH79ei1aOHGgRFJNvv32W7z//vu4evUq2Gz2kO1kMhlSUlJgZ2eHoKAgLVo4egghSE1NRXt7OyIiIibEQ0CTdHd3o7q6GvX19ZDJZEq9KV15AbQtkjfS29urEMy2tjaYmprC1dUVbm5uwwaF3EzIh03q6uoQGBio0oWpTxBCcP78eVhZWSEkJERl24sXL2Lu3LnIysqaMM8sbUL1r9WgqakJ69atwy+//KJSIAEo5q7z9/fXknVjp7GxEVwuF7a2tigpKYGtre1NP5OHRCJBQ0MDqqurweVy4eTkhKioqFGNy92MmJiYwNPTE56enorx2OrqahQVFcHBwQHu7u6wtbW96SOe29ra0NjYCHt7e1RUVMDJyWnYXrU+QKPREBERgeTkZDg6OsLa2nrIttOmTcOaNWvwxBNP4Pz58zf9bzpSqJ6kGjzyyCPo6+sbNlinq6sL58+fnxBuVjlNTU24dOkSoqKi4ODgoHZ6yESFz+ejsrIS1dXVMDY2hoeHB1xcXHQeMHIjuu5JDgWPx0N1dTVqa2vBYDDg5eUFNzc3vbJRU1w/Bunq6oqCggLU19djxowZWnW9j4WysjJUVVUhMTFR5Zgjj8dDYGAgPvzwQzzyyCNatFD/oURyGM6fP4/bbrsNhYWFKiM9J6KbtaWlBZmZmYiMjISTkxOAkeVRThQIIWhra0NFRQVaWlrg4OAALy8vWFlZ6e1bs76KpByZTIbGxkaUl5eju7sbbm5u8PLymhC9LHUYLEhHHszT3NyMGTNmTIh7YyRu10OHDuHZZ59FcXExNavPdVAiqQKJRILIyEg8/PDD2LBhg8q2xcXFqK+vR0JCgl4FHwxFW1sbLl68OGiax80ilIQQNDc3o6ioCL29vfDw8ICnp+eEOB59F8nr6ezsREVFBRoaGmBnZ4fAwEC9yQseDaqiWAkhuHz5Mtra2hRF0vWdnp4eJCcnIy4uTqXblRCC+fPnIzg4GJ9//rkWLdRvKJFUwRdffIGvvvoK+fn5Kt1x8mjWGTNmTIg3sK6uLly4cAEhISFwd3cftM1EF8qOjg4UFBSgp6cHfn5+cHd3n1Ah7hNJJOX09fUpoipdXFwQEBAw4a4bddI85ME83d3dmDFjxoT4feRu1+GiXYuKihAZGYn09HSEhYVp0UL9hRLJIWhqaoK/vz9+++03zJ8/f8h2hBBcuHABVlZWCA4O1qKFo0MoFCI5ORnu7u7DBhdNRKHs7u5GYWEhWltb4e3tDR8fnwnxELuRiSiScvh8PgoLC9HU1AQPDw/4+fnp3ZjvYIwkD1ImkyE9PR0GBgaIiYnRW7e9HEIIUlJSYG9vj4CAAJVt169fj7S0NKSkpOj9cWkDKoxvCNavX49bbrlFpUAC/YnRfX19EyKaVSaTISsrC5aWlmqFso/nxM2apre3Fzk5OUhOToaxsTHmzZuHwMDACScwNwOmpqaIjo7GjBkz0NPTg9OnT6OkpERRtF0fGWmhADqdjqlTp6Knp2fIQu76hHy2kLKyMvB4PJVt33rrLVRWVuLAgQNask6/oURyEC5cuIDff/8d27ZtU9lOLBajoKAAISEheu/KI4QgPz8fEokEERERar8h6rtQikQiXL16FWfPngUhBHPmzEFoaOiEGCu62eFwOIiLi0NMTAwaGxvx77//orKyEjKZTNemKTHaSjpGRkaIiYlBRUUF6uvrx9FCzWBpaQlXV1dcvXpV5ZRgZmZm2LZtG9atW6eRCaknOpRI3gAhBC+//DI2bNgwbN3SwsJCWFhYTIjqNFVVVWhqakJMTMyIBV0fhZIQgurqapw+fRo9PT2YOXMmoqKiYGpqqmvTKG7A1tYWs2bNQmhoKCoqKpCUlISOjg5dmwVg7LVYLSwsFPNRcrlczRuoYQIDAxVVpVRx//33IzAwEJ988omWLNNfKJG8gT///BM1NTV46aWXVLbr6upSTJml73771tZWXLt2DVOnTh11fpc+CWVfXx8yMjJQWFiIqKgoxMXFDVvkgUK30Gg0ODk5Yfbs2XB1dUVaWhquXbum9YmWr0dTtVgdHBzg5+eHzMxMCAQCDVqoeYyMjBAYGIirV6+qPPc0Gg0ff/wxtm/frtPpy/QBSiSvQyKR4PXXX8fbb7+tskcid116eXnB3NxcixaOHD6fj6ysLEyZMkVl+Lc66FooCSGoqanB2bNnYWRkhDlz5gw5HROFfkKn0+Hn54dZs2ahra0N586dQ2dnp9bt0HSxcl9fX1hZWSErK0unwq8O7u7uMDIyQmlpqcp2sbGxuPXWW/Hee+9pyTL9hBLJ69i3bx+kUilWr16tsl1tbS16e3v1vo6jWCxGRkYGXF1dh0z1GCm6Ekp577GgoABRUVGIjIycEBGTFINjYWGBmTNnwtXVFampqVrtVY7HbB7yMnBSqRT5+fkqx/x0zfVBPHw+X2XbDz/8EHv37h1WUG9mKJH8f/r6+vDOO+/ggw8+UBkRKZFIJkSwjjyXi8ViaTw1RZtCKe89JiUlwdDQkOo93kRc36tsbW1FcnLyuPcqx3O6KwaDgdjYWDQ3N6OiokKj29Y0lpaWcHFxwbVr11S2CwgIwPLly/Hmm29qyTL9gxLJ/+fLL7+Evb097r//fpXtKioqYGJioijjpq8UFRWhp6cH0dHR41KwWxtCeX3vMSIiAlFRUVTv8SbEwsICs2bNgrOzM1JTU1FQUDAuvUptzAdpbGyMmJgYFBYWoqWlZVz2oSkCAgLQ0tIybBDVO++8g6NHjyI7O1tLlukXlEiiv6zWpk2bsGnTJpWCIhKJUFpaiqCgIL0O1qmvr0dFRQViY2PHVVTGUyg7OjqQnJwMAwMDzJkzZ0JEEFOMHjqdDn9/f8yaNQstLS1IS0vTaBCMNidMtrKyQmhoKC5dujRsTqIuYbFY8Pb2RkFBgUr3sLOzM5577rlhS3PerFAiCeCTTz5BZGTksIUDSkpKYGVlBRsbGy1ZNnL4fD5yc3MRFRWllaCi8RDKmpoapKWlwc/Pj+o9TjLkY5UmJiZITk7WSFqFNgVSjpubG9zc3HDp0iW9ywu9Hh8fH/T09Azb692wYQMuXbqEf//9V0uW6Q+TXiTb29vx5Zdf4sMPP1TZO+zt7UVVVZVez/AhLyPn6uqq1XE7TQmlTCbD1atXcfXqVcTExMDLy0uve+wU4wODwUBkZCS8vLxw4cKFMSXq60Ig5QQGBkImk+l10IuhoSF8fX2H7U1aWlpi3bp1kzLSddKL5I4dOxAbG4tp06apbFdcXAxHR0e9zserqqoCn8/XiZCPVShFIhEuXryI5uZmzJo1C3Z2duNkKcVEgEajwdfXF9HR0cjLy0NhYeGII0Z1KZBAv9hHRESgtLRUryvXyCfWHu5lZM2aNcjLy0NqaqqWLNMPJrVI8ng8fPHFF3jttddUtuvu7kZdXd2whYF1CZ/Px7Vr1xAREaGzeqWjFcqenh6kpKSATqdj1qxZN82chBRjx8HBATNnzkR9fT0yMzMhFovVWk/XAinH0tISXl5eyM3N1Vu3K4PBQEBAAAoLC1XayOFwsGbNGmzatEmL1umeSS2Su3fvhpeXF+bOnauyXWFhIdzd3fW25Nn1blZbW1ud2jJSoWxubkZKSgqcnJwQGxtLFSSnGIA8+lUikeD8+fPD5vbpi0DK8ff313u3q6urKxgMBqqqqlS2e/HFF3HmzBnk5+drxzA9YNKKpFAoxNatW/Haa6+pHPfq6upCS0uLXhcOqKysRG9vr96Ml6orlOXl5cjKykJYWJjeRwxT6BYjIyPExcXB1tYWycnJaG9vH7SdvgkkMDHcrjQaDQEBASgtLVWZfuPg4IBHH30UH3/8sRat0y2TViQPHDgAc3Nz3HXXXSrblZaWws3NTW9nleDz+SgoKEB4eLhe9cKGE8qSkhIUFxcjPj4eLi4uOrKSYiJBp9MxZcoUBAYGIj09Ha2trUrf66NAyrG0tIS3t7deu10dHR1hYGCAuro6le3WrVuHP/74A+Xl5VqyTLdMSpGUSqXYvHkz1q9frzIvksfjobGxEb6+vlq0Tn0IIcjNzdULN+tgDCaUhBAUFhaivLwc06dPh5WVla7NpLiBnTt3wsPDAywWC7GxscjMzFRrvZ9//hk0Gm3YF8+x4unpidDQUGRkZKC5uRmAfgukHD8/P712u8qDpUpLS1UGSXl4eOD+++/Hp59+qkXrdMekFMk///wTQqEQS5cuVdmurKwMTk5Oo545Y7yprKxEX1+fxsvOaZLrhfLChQvIz89HdXU1pk+frteRwpOVX375BWvXrsXGjRuRk5ODsLAwLFiwYNg8uqqqKrzyyiuYOXOmVux0c3NDeHg4srKyUFxcrPcCCfyX2qLPblcXFxfIZDI0NDSobLdhwwb873//mxQzhExKkdyyZQvWrl2r0j3Z19eH2tpave1Fyt2sERERel1DFugXyrCwMDAYDFRXVyM6OhoWFha6NotiELZt24bHH38cq1atQlBQEL7++muYmJhgz549Q64jlUqxdOlSvPvuu/Dy8tKarS4uLvDx8UFRUZEieV/f4XA4eu12pdPp8PHxGbY3GRwcjPnz52PHjh1atE43TDqRzMrKwrVr17Bq1SqV7SoqKmBnZ6eXD3O5m9XNzU2vq/9cT3FxMcRiMRwcHJCXl6cXEzdTKCMSiZCdnY158+YpltHpdMybNw/p6elDrvfee+/Bzs4Ojz32mDbMVNDa2oqysjJ4enqipqZG4XrVd/z9/UEI0Vu3q5ubG/r6+gaM+d7I888/j2+//Vbv59AcK5NOJHfs2IEVK1aoFD+RSITKykq97UVWVVWhr69Pb6JZh6O4uBjV1dWIj4/H1KlT9WLiZoqBtLW1QSqVwt7eXmm5vb39kDPZX7hwAd9//z12796tDRMVXD8GGRoaioiICGRlZQ37YNcH6HS6Itq1u7tb1+YMwMDAAF5eXigpKVHZbu7cubCxscGvv/6qJct0w6QSyZaWFvzyyy949tlnVbarrKyEpaWlXgaViMViFBUVYcqUKXrvZgX6x3UrKioQHx8Pc3NznU/cTKE5enp6sHz5cuzevVurHo3BgnScnZ0VwTxDpYfoExwOB+7u7igoKNC1KYPi5eWFrq4ulTOE0Gg0PPvss/jyyy/1ev7MsaL/T1kN8v3332PmzJkqK+fIZDJUVlYiIiJCi5apT3l5OczMzAa87esj9fX1KC4uxvTp05V67nKhlJe4mj59OoyNjXVoqfaQSqUQCoUQCARKH6FQCKFQCEIIZDIZ2traAAAZGRlgMBig0+lgsVhgsVhgMpmK/8v/1kSOqY2NDRgMxgC3ZXNz86C1gMvLy1FVVYXFixcrlsnH2QwMDFBcXAxvb+8x23U9qqJY3dzcIJPJkJGRMSEqN/n5+eH06dNob2+HtbW1rs1RwtDQEO7u7qioqFDZWXjkkUfw2muvISsrCzExMVq0UHtMGpGUyWT49ttvsXXrVpXtGhoaYGBgoJe1Q4VCIcrKyhAXF6f3ifdcLhe5ubmIjo4Gh8MZ8P1kEEqJRIKuri5wuVxwuVx0dXWhp6cHAAYInbGxMdhsNhgMBmg0GoyNjVFbWwsnJyfQ6XSFuPL5fLS3tyvEVSwWg06ng81mg81mg8PhgMPhwNzcfMTziBoZGSEqKgpnzpxRpHHIZDKcOXNmUO9LQEAArly5orTszTffRE9PDz7//HO4urqO7sQNgTppHh4eHuDxeAqh1Kfc4RthMpnw8fFBQUEBZsyYoXf3tIeHB5KSktDX1zfkvWlubo5ly5bhm2++oURyonPq1CkIBAKlt97BqKyshKenp95dsEB/Ar6tre2Y3jqFEilae4Ro6RGiky9Ct0CM7j4JegRiCCUyiCQyCCUyyAgBnUYDjQbQaTSwDOkwMTKAsSEDZkwDWJoawcrUEJYmRrCzYMGM+d+lJBAIkJmZCX9/f5WzkdxsQimRSNDS0oLm5mZ0dHSAx+OByWSCw+GAzWbDyckJbDYbxsbGw15fjo6OqK2thaurq8oHvVQqRW9vr0KIa2trceXKFRBCYGFhARsbG9jb28PKykot0Vy7di1WrFiB6OhoxMTEYPv27eDz+YpAt0ceeQTOzs7YtGkTWCwWQkJClNaXvxDduHysjCQPMigoCD09PcjOzkZsbKziXBNC0NkrRmuPEB18Ebi9InT2itErkqBXJEWvSAqxtP/aJwSQEQIDOh1GBnQYMWhgGTFgwTKEhbEhLFgGsDFjws6CCWtTJhj00T0vvL29UVlZOWRvXZeYmZnB1tYW1dXVKr1vTz75JOLi4rB169ZBX4gnOpNGJL/++musXr1a5QNH/rY/3IwgukA+VVdCQsKwbQViKcpaeChu6kFFGw/V7b2o7ehFbWcfOviicbHPnGkARw4LjmwWjETdcOOwYOTOhim3D45s1pCiMNGFsq+vD01NTWhqakJbWxtMTEzg4OCA4OBghSCOJwwGA+bm5jA3N1f03Agh4PF44HK5aG1tRVZWFgghsLe3h4ODA+zs7Ia8D5YsWYLW1la8/fbbaGpqQnh4OE6ePKlw79fU1Iy4hzpWRiKQEqkMVe18dJi44mzWVey5moJumREauwRo7BJAJNF82gWDToOdOROuViZwszKBu5UJfOzM4OdgDncrExgwhj5fhoaG8Pf3R0FBAezt7fXu5dzT0xO5ubnw8/Mb8ncPCwtDWFgYDhw4MGy8x0SERm7mEdf/p6GhAR4eHigtLYW7u/uQ7fLy8gAA4eHh2jFsBGRnZ4NGoyEyMlJpuVAixbWGbuTVcHG5josrdV2oaudDpuJXNWTQYGfOgpWpEdjGhrAwNoA50xAsw/9/azagg0GjgaD/bVoq6xde+Rs3TyhBZ68YnXwROvgi8IQSlbZbsAwQ4GiBIEcLhLqwEe7KgaeNqdIDQV6kvb29Xe+FUigUoqamBvX19eju7oaVlRUcHBzg4OCgsXEwsViM48ePY+HChWN2GRJC0NnZicbGRjQ3N4PH48HGxgaurq5wcnICg8HQiM3jgSqBFElkKGrqRl4tF/l1XShq6kZJM29YIbQ0Mez3hJgYgWNiCFOmAUyMGDAxMoAhgw4Gvd97QgMglhGI/t/D0iuSokcgRrdAjK4+Cdp4QrTxhFD1BDUyoMPP3gxhLhyEu/Z/vG3NQL+u5ymVSnH27Fn4+/vrXa4nIQT//vsvgoKC4OzsPGS7ffv2YevWrcjPz9c7oR8rk0Ikt27dipMnT+L06dNDthGLxfjnn38wY8YMvXMZdHV1ISUlBXPnzoURk4XcWi7SytpxsaIdOTWdEA7yULA0MYS/gzl87MzgbmWqeMt1ZLPAMTHU6IXME0rQ1CVAdmEF8svrwLRxRR1XiMo2Pirb+JAMothsY0NM9bDCDB9rzPC1gbdtv7joq1ASQtDW1oaqqio0NTXByspKMbm1kZGRxvenSZG8ET6fj4aGBtTU1EAoFMLV1RUeHh4wNzfX6H7Gyo0CyRdKkF3diYzKdlys6MCVui6IpAOvfVMjBnzszOBhYwpbFoGoowEJ0VPg52ILOwsmmAaaeymQSGVo54vQwO1DTUcvatp7UdXei9KWHpQ090AgHvzejPW0xjQvK0z3sYGPnRnq6upQWFiIuXPn6t1LS2lpKVpaWjB9+vQh2/D5fNjb2yM1NRVhYWFatG78mRQiGRERgRdeeAErV64csk1lZSVqamrUcmdqm39T0lDApaOUz0RycQu6Bco9N2tTI4S7chD2/58gRwvYmBlp9Y2upaUFmZmZiI+PV4qGE0lkKG/loaipG1fqunG5jour9V0DhN3OnIkZPjaI97YGR9gM9HH1QiglEgnq6upQUVEBoVAINzc3uLu7j3vk5HiKpBxCCDo6OlBVVYWGhgbY2NjAy8sLdnZ2Ou8NyAXSxj0Ahd0MnClsQUZlO8RS5ccVx8QQYS79132wkwUCHSzgYmms1FMrKytDeXk5EhIStDpRgUxGUNPRi2sN/dd9Xm2/p6dPrDzLhoulMWb728FW1IRbwj0Q4OejNRvVQSgU4tSpU0hMTFT5IrVs2TI4OjredDVdb3qRvHbtGqKjo9Hc3KyygEBSUhK8vLxUumO1SbdAjFPXmvFXdjXSK7m4/tnAMTHEdB8bTPOyRpyXNbxtTXX6UOPxeEhJSUFISIha7iKxVIaChm6klbcjtawNWVUdA0TT18oQ4dYyPLkwBj6O2s9XlUqlqKqqQklJCVgsFry8vODi4qK1t3xtiOT1CAQCVFVVoaqqCkwmE0FBQToRS4lUhrP5Vfj1QgFKe1mo7hQqfe/MMUaslxWmeVpjqqcVPKxNhrVRXqGKx+Nh+vTpOu2piaUy5Nd14WJFO9LL25FZ2aHUGzY2ABaGOuH2MGfM8LGBoYrxTG1y6dKlQQO1rufkyZNYvXo1qqur9a43PBZuepF8/fXXUVFRgZ9//nnINl1dXTh//jxuvfVWnSboy2QEaeXtOJRdi5NXm5SEw8/eDPMC7TE30A7hrpajjqbTNDKZDOfPn4eVlRWmTJkyqm0IxFLkVHfiQlkbUsvbkV/HVRrnCXW2wOIwZ9w2xQEuluNbbJ4Qgrq6OhQVFYHBYCAoKEgnARXaFkk5178cmJubIygoSCtFNQoauvFHTh3+yKlDR69YsZxBp2GqhyXmBthjTqCdwi0/UqRSKS5cuAAbGxu9mhCgVyRBalk7zha14N/CZrT2/PdSYGNmhHsiXXB/lAt87XXrCm9paUFOTg5uueWWIQN4JBIJnJ2d8dNPP2HOnDlatnD8uKlFUiaTwcvLC19++aXK1I9r165BIBAgKipKi9b9B7dXhF+yavHDxWrUdf5XgcbdkokpbBGeuSMegU4cndg2HCUlJairq0NCQoLG3h5begT452oT/s5vRGZlB66/QKPdLfFwrBsWTnEEy1Bzb6uEEDQ3N6OwsBBisRgBAQFwdXXVWQ9dVyJ5/f7lbkpbW1sEBQVpfMyypUeAI3kN+C27DkVNPYrl5kwG5gTaY26gPRJ8bcE20czx9/T0IDk5ecCQgL4glRGcza/C/uRruNZlpPSyEOVuiRXxHrgtxEEnvUtCCP755x9ERkaqzCF/4YUXwOPx8P3332vRuvHlphbJ8+fP4+6770ZDQ8OQwRWEEJw6dQrh4eFar2JT0crD7vOV+DO3TjHAb84ywB1hTrg/ygXtpTnw9PTU6swKI6G7uxspKSmYPn06LC0tx2UfLd0CfHfyEs5VdKOUSxSCyTY2xH1RLngoxg0+dmMbH+TxeLh8+TK6u7vh5+cHDw8PnbuLdC2ScgQCAUpKSlBdXQ03NzcEBQWNyR6ZjCC5tBX706qQXNKqiMI2ZNAQzJHhgRgP3D8jaNyEoLS0FNXV1Zg9e7bOf+OhyMjIgCGThTZDe/x6qQ5JxS2Q/v+JsjNn4pE4dyyf5qGxlwd1uXr1KkQi0YAI++vJysrCvHnz0NTUpPN4Ak1xU4vkk08+CQaDga+++mrINq2trbh06RIWLFigtfyvgoZu7DxXhuNXGhVuxUBHC6yMd8cdYc4wNmKgqakJly9fxvz587Wel6YOMpkMKSkpsLOzG/dC6/L0kPKGNtQYOOP33CbUc//rccd6WmF5nDtuDXZQmZM22HYrKipQWFgINzc3BAYG6k2FFn0RSTnyFwk+n4/w8PARV6TqE0nxR24d9lyoRHkrX7E8wo2DBX4cWPZUIi5q/OeDJIQohgc0XfBAU8iHf2655RYYGRmhpVuAHzNrcOBiDdp4/e5YM6YBlk1zx2MzPGFrztSKXVwuFxcuXFA5LEUIgb+/Pz788EPcf//9WrFrvNGJSFZUVIx770goFMLR0RF///034uPjh2yXm5sLBoOB0NDQcbUHAMpaerD1VAlOXP1vRoV5gXZ4fKYXYjytlFx7qampsLGxgb+//7jbNRqKi4tRX1+vUTerKq7Po5wWF4/M2h78mFGDs0Utit6Iu7UJnk7wxt2RzsOG+fN4POTm5kIgECAiIkLvphzTN5EE+n+DqqoqXLt2Da6urmr1Kpu6BNifXoUfM2vA/X/3oRnTAEumumJprBvM0af1CZPlbte4uDi9q5kqJzU1Fba2tvDz81MsE0lkOH6lEV8nlyvc0yxDOlbEe+DpBG9wTDSfinQ9hBBFPqeLi8uQ7d577z3k5OTgr7/+Gld7tIVORJJOpyMhIQGPPfYY7rvvvnEJyz5+/DiefvppVFVVDTmuJJVKcfLkScTFxY3rGEVTlwBbTxXj95w6yAhAowG3hzphTaI3Ah0HRtx2d3cjOTkZt9xyC5hM7bwljgRtuFkHY7CCAw3cPvycWYP9F6sVD2EHCxYen+WFh2JcYWJkMGAb1/ceg4KC9HI2FX0USTl8Ph95eXng8/mIiIiAra3tgDYN3D7sSCrDoUu1irQNVytjrIr3xP3RLjBnGY6oko6mKSsrQ1VVFRITE/Xy929sbER+fv6gniRCCM4WtWBHUhlya7gA+odpnkrwxmMzPDU6Vn8jxcXF6OzsVFmVrLS0FCEhIWhra9O73NvRoBORzMvLw969e/HTTz9BJBJhyZIleOyxxzRaIPfpp5+GoaEhvvjiiyHbNDQ0oKCgAHPnzh2XAA2BWIrvL1RiZ1IZekX9uVG3BNnjlQX+8FMRrZaXlwdCiF7ORKJNN+tgDFWZhy+U4KfMGuw+X4Hm7n6XlKWJIR6b4YlHZ3jCxMgAIpEIly5dUjzc9a33eD36LJKAcq/S09MTQUFBoNFoaOkR4KukcvyYUaNIbYjxtMJjMzwxL9BeEZWtS4GU26/Pbld1Kt3IxfLTf4oVPUsXS2O8uSgIC4LHJyKbz+fjzJkzWLBggcoX+KCgILz//vu49957NW6DttHpmKREIsGRI0ewb98+nDx5En5+fnj00UexfPnyQd9O1YUQAldXV+zduxfz588fsl1mZiYsLCxUFu8dLedLW/HmX1dR3d4LAIh04+DN24MQ6aa65yUSiXDq1CnMnDkTbDZb43aNFW27WQdDVQk7oUSKP3LqsetcOWo6+s+9nTkTa2a6wUlYDbaFBSIjI/VSeK5H30VSTk9PDzIyMiAzNEFmDxsHMmoUQWixnlZ4ZYE/pnooe2l0LZBy9N3tWlZWhsbGRsycOVNlO5mM4PDlemw+UYymbgEAYKavDT64KwTu1qYat+v8+fNwdnZWOWS2fv16NDU14X//+5/G969t9CJwRygU4quvvsJrr70GkUgEIyMjPPDAA9i8eTMcHR1HvL2cnBwkJiaira1tyKhWiUSCEydOICEhQWWRgZHC7RXh/b8L8XtOHYD+B/RrCwNwV7izWm92JSUlaG1tVVkCSlfI3az6ULpvuFqvEqkMf+c3YuvpYtR29Af5eFga4Z27wpDor3/ToN3IRBFJkUSG78+X44szJej7/0JQEW4cvHKLP+K9rQdc8/oikHLkbld9jHaVl8pUd1ijVyTBV0nl+PZ8BUQSGViGdLw0zw+PzfAcUUDbcFRUVKCxsVHlMyo1NRV33nknmpub9e68jhSdhk1eunQJa9asgaOjI7Zt24ZXXnkF5eXlOH36NBoaGnDnnXeOartHjhzBbbfdprKmZmtrK4yNjTXqMz9b1Ix521Lwe04daDRgZbwHzr6SiLsjXNQSSLkLy9PTU2M2aZKCggK4u7vrXCCB/2YPsba2RmpqKvr6+pS+N2DQcWe4E3YtdsLdngTmTAaqOkVYuTcLy7/PQFFTt44sv3k4X9qK2z5PweZ/+gXS29IIa0KAr+/1wXQfG70XSKB/qioGg4GqqipdmzIAQ0NDuLq6orKyUq32JkYGeGWBP06/NAvTfawhEMuw6UQR7tmVhvJWnsbscnBwQHt7O0SioWcUmjZtGmg0GtLT0zW2X12hE5Hctm0bpkyZgvj4eDQ0NGD//v2orq7GBx98AE9PT8ycORP79u1DTk7OqLZ/5MiRYeeNbGpqgoODg0b89n0iKd786woe3XcJbTwhfO3M8NtT8XjnjmCleRaHo6WlBTKZTO/mlQOA9vZ2tLe3K0Xb6RpVQimTyZCTk4OG2hpsXDID59fPweoZnjBk0HC+tA23f3EBn5wsguCGOpoUw1PX2YunfsjG8u8zUd7Kh42ZET69LxSn183Dg7OmICsrCxUVFUrr6KNAAv3XUGBgIEpKSiAWi4dfQct4eHigoaFhRLa5W5viwGOx+OS+UFiwDJBf14Xbv7iAgxnV0ITj0MTEBObm5mhpaRmyDYPBwKJFi3DkyJEx70/X6EQkd+3ahYcffhjV1dX466+/cPvttw+I4LKzsxtV1Ya6ujrk5+dj4cKFQ7aRV1fRhBiVtfRg8Y4LOHCxBgCweoYnjj43A1HuI4/6lCds61teJCEE165dg4+Pj95F2w4mlFKpFJmZmejp6cGsWbPA4XDAMTHCm7cH4czaRCwItodERvDVuXIs2J6C1LI2XR/GhEAileGrc2WYty0ZJ681gUGnYdV0D5x5ORH3R7uCTqfBzc0N8fHxKCoqQklJCQD9FUg59vb2MDc3R1lZma5NGQCbzYa5uTnq6upGtB6NRsMD0a449VICpvtYo08sxRt/XsXTB3LQLRj7y4CDgwOamppUtrnjjjtuCpHUyZhkVVXVoGJACEFtbe2YbqRdu3bh559/RnJy8pBtOjo6cPHiRdx6661jEqQjlxuw4fd89IqksLdgYuv94ZjhO7qISYFAgFOnTmHu3LkwNdX8YPtYaGxsxOXLlzFv3jy9DJcH/hujbGtrg7GxMWQyGeLi4oYcz/vnWhM2Hr6mCHS4N9IFby4KhKXp+OaaqYu+jUmWtfTg5UP5uFzLBdAflPPuncEIcBh8PL+rqwtpaWmws7NDQ0MDwsLC9FIg5XR0dCAtLQ3z5s3T6kwh6iAvPJ+QkDAqz5dMRrAntRKbTxZBLCXwsDbBrmVRg6afqUtnZyfS0tJw2223DfkM5fF4sLa2xpUrV/TKAzVSdNJl8fb2RlvbwLf3jo6OMY/HHT16FHfccYfKNk1NTbC3tx+1QEplBB8dL8TzP+WiVyRFvLc1jj0/c9QCCfTP+G5jY6N3AkkIQWFhIfz8/PRWIIH+N+cpU6ZAKpWis7MTERERKsVlQbADTq+dhRVx7qDRgN9z6jBvWzLOFjVr0Wr9Ryoj+DalHAu/uIDLtVyYswyw5f4w/PzEtCEFEujvAQUFBaGurg52dnZ6LZAAYGVlBVtbW0XvV59wdnYGj8cDl8sd1fp0Og2rZ3rh0FPxcOYYo6q9F3d/lYrjVxpHbROHwwGDwUB7e/uQbczMzDBnzhwcPXp01PvRB3QikkN1Xnk83pje4kQiEZKTk7FgwQKV7eTjkaOhVyTBUwey8W1K/5jLmkRv/PBYLGzMRu+GJISgpqZGb6bpup7a2lpIpVJ4eHjo2hSVSKVSXLp0CSYmJnByckJGRsaAYJ4bMWcZ4t07Q/D70/HwtzdHO1+ER/ddwjtHrlFjlQCq2vhY8k06PjpeBJFEhll+tjj10izcFzV8IFprayuuXLmCgIAAdHR06KX43EhgYCCqq6vB5/OHb6xFDA0N4eLigurq6jFtJ9yVg6PPzcBMXxsIxDKsOZiDnUlloxqnpNFoarlcb731Vvz777+jNVkv0GrXYO3atQD6T/Dbb78NE5P/pj2SSqXIyMhAeHj4qLcvf0iqmgqHz+eDx+ONuPYkALTxhFi5NxNX67thZEDHlvvDcEeY06jtldPe3g6xWKx3ATtSqRRFRUUICgrSu3HS6yGEIDs7G0KhEPHx8TAwMEBeXh5SU1PVmrg50s0SR56bjk9OFuP7C5XYl1aF9PJ2fPFQBPwdJn7FkNFw5HIDXvs9H3yRFGZMA7y5KBBLpqo3K8qNY5AODg5ITU2FgYGB3hbrBwALCwu4uLigqKhIZzMCDYW7uztSU1MREhIyJo+OlakR9q6cig+OFWJfWhU+/acY1e18fHT3lBGniTg4OODKlSsICQkZ8rpITEzEm2++CbFYrBfDBqNBq0++3Nxc5ObmghCCK1euKP7Ozc1FUVERwsLCsG/fvlFv/9y5c0hMTFR5I7e0tMDa2nrEP1htRy/u/zodV+u7YW1qhJ8en6YRgQT6x/wcHR31Lp+osrISRkZGQ1b80BcKCwvR3d2tGIMcLj1kMJgGDLx1exD2rZoKGzMjFDf3B2TtT6/SSETgREEokWLj4at4/qdc8EVSxHha4eSLM/FgjNuoBBLod71OmzYNBQUFKiMi9YGAgAA0Njaiq6tL16YoweFwwGQyBx2mGikGDDreuSMY798ZDDoN+PVSHdYczBmx98TGxgYCgUBlz3vKlCkwNDQcdaaCPqBVkUxKSkJSUhJWrFiBEydOKP5OSkrCP//8g2+++Qa+vr5j2n5iYqLKNm1tbSMuR1bWwsP9X6ejso0PF0tj/P50/KiiVweDEDIm9+94IRaLUVJSgsDAQJ3NqagOdXV1qKysRGxsrFJe7GiEEgAS/e1w4oVZSPS3hUgiw9uHr+HlQ5cnhfu1rrMXD3ydjv+l97v1npntjR9Xx6o90bWqKFYrKyuEhYXh0qVL4PE0l7OnaYyNjeHh4YGCggJdm6KEuu7NkbA8zgNfL4uCkQEdpwqa8ei+LPSKJGqvb2BgAEtLS5XCLa/Tfe7cOQ1YrBt04kPbu3evRqvcAP3jkampqSpFkhCC9vb2EYlkeSsPD+2+iKZugSL/0cNGc8E1PT09EAqFYyrDNx7U1NTAzMxsVG5pbdHZ2Ym8vDxER0cPWhRitEJpa87E3pVT8eaiQDDoNPyRU48l36SjqUug6UMYV3bu3AkPDw+wWCzExsYiMzNzyLYbPt+PWR8cx+W6LsgEPDiW/oUEy261XXDqpHm4urrC3d0dGRkZepmTKMfX1xft7e1615uUi6QmPRu3BDtg36qpMDViIK28HY/uy0KfSP0XQhsbG5XBO0C/y5USSTW455570N3drfi/qs9oyMrKgpmZmcqi2zweDxKJRO2KMVVtfDy8+yJae4QIcDDHL0/GwYGt2fDwpqYm2Nra6pWrVT5Thre3t972IgUCATIzMxEQEKBysuzRCiWN1h8RuP/RGHBMDHG5rgu3f3kB2dUdmjqEceWXX37B2rVrsXHjRuTk5CAsLAwLFiwY1N35Q3oVfm6whMzQGL5Whti/NAgBFhLccsstqK+vH3ZfI8mDDAoKgqmpKS5duqS3bmwmkwkXF5cBBRF0jbW1NaRS6aijXIci3tsGB1bHwoxpgIsVHVi9P0ttz4mNjQ3a2tpU/paJiYm4cOGCXr8YqUJrIslmsxUPXDabrfIzGtQZj2xra4OlpaVagtTSLcDS7zLQ3N1fQefA6lhYjUMOnT66WpuamiCTyUZVN1cbyIsF2NjYwNvbe9j2oxVKAJjuY4Mjz8xAgIM52nhCPPjtRRy6VDsW87XCtm3b8Pjjj2PVqlUICgrC119/DRMTE+zZs0fRRiojeP/vArx1+BpAo+O+KBf8vXYuEqdOwXfffQeZTIYzZ86o3M9ICwXQaDRERUWht7cX165dG/NxjhdeXl6oq6uDUCjUtSkK6HQ67O3tNepylRPhZol9q6bCxIiB1LJ2PPtjLiT/P4uLKiwtLSESiYYdlzQyMkJ2drYmTdYaWotu3bt376D/1xRJSUnD9kLVHY/sEYixYm8W6rl98LA2wcHHx5biMRQCgQBcLlejU4RpgoqKCnh6euptRGtRURFkMhnCw8PV7unKhXIkUa9y3KxN8PvT8Xjl0GWcuNqEdb/lo5UnxNMJ+tnTFolEyM7OxmuvvaZYRqfTMW/ePEUtzV6RBC/8nIfTBf15oesW+GNN4n/H09vbC7FYrHKe1dFW0jE0NERsbCySk5Nha2ur0hOgKywsLGBlZYWqqiq9mvjcwcEBpaWlCAwM1Pi2oz2ssGflVDyyJxP/FjbjrcPX8NHdQ0euAv3l5+TjkmZmZoO2uX5cUtU8lPqKTp6CfX196O3tVfxdXV2N7du349SpU6PanlgsRlpaGhISEoZso+54pFgqw9MHclDY2A0bMyPsfzQWdubjU4GjubkZHA5Hryp8dHd3o7OzU2/zIjs6OlBZWYnIyMgRu6jH0qM0ZRrgq6WReDKhP4Xhk5PFeP/vQshk+ucybGtrg1QqHSA+8l5IB1+EB7+9iNMFzTAyoOPLhyLwzGwfpYfh+vXr4eTkhHnz5g26j7GWmjMzM0NwcDDy8vL01g3n7e2NqqoqyGTD96i0hb29PXp6epSen5pkmpc1vngwAnQa8FNmDXYmDV+qT91xSVVV0PQZnYjknXfeif379wOAoie1detW3Hnnndi1a9eIt3ft2jUYGBiofLuSj0cON+XMh8cKcaGsDSZGDOxbFQM3a/Ui+0aDPrpaq6qq4OTkpHIGFV0hlUqRm5sLf3//UQd+jUUoaTQaXrstEG8u6r/O9qRW4qVf8yCS6M9DdDikRmZY8k068uu6YGVqhJ8ej8XiG1KZPv74Y/z888/4888/B32B01QtVnd3d5ibm+Pq1auj3sZ4Ym/fP3Fxc7P+VGEyNDSEtbX1uLhc5dwa4oB37+yfiHrLqRL8c031vtQZl4yNjUVWVpbejkOrQicimZOTo5hI9LfffoODgwOqq6uxf/9+fPHFFyPeXnZ2NiIjI1W6B+Xjkara/JJVg31pVQCAz5aEI8R5/CY9lkqlaG1t1SuRlEqlqKur09teZFFREQwMDNQah1TFWIQSAFbP9MJnS8JgQKfhcF4Dnvjhkl6liNjY2IDBYAx4uFe3dqM7+lGUtvBgb8HEr0/GIcpd2Z26ZcsWfPzxxzh16hRCQ0MHbFuTxcrlv0NDQ4NeCZEcGo0Gd3f3MVe60TSaTgUZjOXT3LEy3gMAsPaXPBQ39QzZVp1xydDQUHC5XNTU1Gja1HFHJyLZ29urCNk/deoU7rnnHtDpdEybNm1UF2R2dvawFTK4XK7KXuS1hi689Vd/IMFL8/ywIHh8xau1tRVMJlOj81mOlYaGBrBYLLUmeNU217tZNTFWOlahvDvCBd+tiIaxIQPnilux5mAOhBL9EEojIyNERUUpBd1UtfFw0TQOIiYHzhxj/PpkHHzslMeQPvnkE7z//vs4efIkoqOjB2x3PGbzMDExQUhIiN66Xd3c3NDS0jLi62M8cXBwQFtb27ifrzcWBSLOyxp8kRRPH8gGXzh4DiWDwYCFhYXKqFtjY2MEBwdPyOAdnYikj48P/vrrL9TW1uKff/7BLbfcAqC/Gs5o3GjqiuRQqR98oQTP/ZgLkVSGuQF2eG6Oz4htGCmanM9SU1RXV8Pd3V2vbAKU3ayafKkYq1Am+tvh+5XRYBnScbaoBc8czNUb1+vatWuxe/du/O9//0NSZj4WfHISNDMbuHCYOPRUHN566WmlwJ7Nmzfjrbfewp49e+Dh4YGmpiY0NTUpEv/Hc7orNzc3WFhY6KXb1djYGHZ2dnrVmzQ1NYWZmdm4Vy8yZNCxc2kkHCxYqGjj463DQ/8+HA5n2NSUqKgoSiTV5e2338Yrr7wCDw8PxMbGIi4uDkB/rzIiImJE2xKLxbh8+bJKkZRKpejp6RlSJN8+fA0VbXw4slnYcn8Y6PTxFQl9rLLD4/HQ2dkJV1dXXZsygMrKStDpdPj4aP7lZaxCGe9tg+8emQqmAR3/FjbjuZ9yIFYjdP56hEIhWlpaUF5ejuLiYhQWFuL06dMAgJKSEpSUlKCyshIdHR2QSNSriLJkyRJs2bIFb3+0Bcv3ZEJIN4azOQN/rJkBJ44xampq0Nj43ywQu3btgkgkwn333QdHR0fFZ8uWLeM+HySNRkNYWBjq6+v1LoEf6B87ramp0avxNG24XIH+Wq9fPNQfyPNHTj3+yBl8XksOhzPsbzdRRVIncx/dd999mDFjBhobGxEWFqZYPnfuXNx9990j2lZhYSEMDQ1VlrPr7u6GgYHBoCH/pwua8XtOHeg04PMHI7QynyCXy4VUKoW1tfW470tdmpqaYGNjo3cBO2KxGKWlpYiMjBy3Hu5Y0kMAYIavDb59JBqP/+8S/rnWjFcOXcZnD4QP+rIlEonQ2dkJLpeLrq4ucLlc9PX1wdTUFObm5jAwMACDwVA8kAUCAQQCAYRCIYqKiiASiWBubg4OhwM2m90/ofT/T1t0I8sfexJ/S0JR1NSjKKdoZ9EfiHNjBZSqqqpBj01bEyabmJgoysHJX5r1BTs7O4hEInR3d486j1vTODg44OLFi5DJZOOeqhXjaYUX5/lh2+kSbDxyDfHeNgOKqrDZbFy9ehWEkCHv06ioKLz77rsq2+gjOpsg0MHBYUBPajT5gtnZ2YiIiFB5ochdrTf+MNxeEV7/8woA4PFZXojxHDonTJN0dHTAxsZGr/IQm5qa9LKQeVlZGczNzce9PN5YhTLBzxZfL4/EE/uzcTivAU4cY6y/NQBAvyejqakJtbW1aGlpgYmJCTgcDiwtLeHp6Qk2mz3g5SQ4OBjHjx9HaGioohg/IUSRW8vlctHa2orS0lJIpVI4OzvD1dUVVlZWoNFo6BVJ8Oi+LBQ19cDWnImDq2NhbzGyVCNtCaQcPz8/nD59elT1lccTBoMBOzs7NDU16Y1IWlpaQiaTgcfjabzE52CsSfTGmcJmXK7rwut/XsH3K6KVnqcWFhaQyWTg8/lD5kuGhoaivb0ddXV1eumxGgqdiCSfz8fHH3+MM2fOoKWlZUAe0kjKQakzHtnV1TWoq/XDY4Vo7RHC29YUL83T3szZXC5Xb242oL9309HRoXfTAwkEApSXlyM+Pl4rb55jFco5AfbYdM8UrPstH7vOlcPO1ACx1iJUVVXByMgIrq6uCA0NVZoibqT2GRsbw9jYWFENiRACLpeL2tpaZGRkwMjICB6eXvjofBuyqzthwTLA/kdj4G49snrD2hZIoD/gyMfHBwUFBZg5c6Ze9TYcHBxQWVmpN4UFaDQa2Gw2uFyuVkTSgNE/NeCiLy7gbFELjlxuwJ3h/71U0+l0RfDOUCJpYmKCoKAgZGdnUyI5HKtXr0ZycjKWL18OR0fHMd0Mubm5eOqpp1S24XK58PNTFsHs6k4cyu73r39yXxhYhtqrncrlcvWq19bc3AwLC4sRCYI2KC4uhq2trcqqL5pmrEJ5f7Qrqlu7sSO5Cu8dK8K6aRZ4YEYMrK2tx+WhT6PRYGlpCUtLSwQHB6OhoQEfHSvA2SoJDOk0fPdIJAIdR/YQ1YVAyvH29kZlZSUaGxvh5KSZqeg0gb29PfLy8tDX16c394k8WEZbv5GvvTmen+uDLadK8MGxQswJsIM5678pB+Xjki4uLkNuIyoqCjk5Objrrru0YLFm0IlInjhxAseOHcP06dPHvC35pMBDIZVKB4wlSGUEb/9/pNYD0S4am/ZKHSQSCXg8ntpF1rWBvgURAf3ehpqammGnPhsPRiuUhBBUV1cjQFqFuZ7GOFPZhy+zezFnmhFstNArYjAYyGih4URVf3DP6lAmuisuo50dofb4ty4FEuiffsnf3x+FhYVjfoHWJEwmE5aWlmhubtabPGIOh4PKykqt7vPxWV74PacelW18fHGmFG8s+u/Zy2azhy2IHxgYOOHmltTJoJilpaVGegft7e3o6OhQGbTD5/PBYDCUXFy/59ThWkM3LFgGinEjbdHV1QUmk6k3pehkMhlaWlr0TiTLysrg5OSkszzSkUa99vb2Ij09HcXFxYiJmYqvVydiho8N+sRSPPVDNrr6xj8HMLu6A6//0T/G/uxsH7y6ZA48PDyQnp6Oq1evQipVncepa4GU4+7uDqlUqhR9qw9oK6JUXdhsNrq7u7VaNo9pwMDGxf3CuDe1CtXt/xUQkNujCj8/P5SUlIyrjZpGJyL5/vvv4+233x5z/cGSkhI4ODio9MnzeDyYmpoq3kgFYim2n+7/kZ6b4wvrcShcrgpV+Zq6oK2tDQYGBno1RioWi1FbWzvmyjpjRR2hJISgqqoKSUlJMDY2xpw5c2BnZwdDBh1fPBQBZ44xqtp78fKveeNa57W1R4inDuRAJJVhQbA91s73A41Gg4+PDxISEtDR0YGkpCR0dAw+1Ze+CCTQP77l6empd1NVOTg4oLW1Ve00nPFG/gKp7UmsE/3tkOhvC4mMYNvp/wTP1NQUIpEIIpFoyHXlIqlP6TTDoROR3Lp1K/755x/Y29tjypQpiIyMVPqoS0lJyYCxxhvh8XhKA8kHLlajoUsARzYLy+PcR30Mo0XfRFJfixrI0xt0jSqhFIlEuHjxIoqLixEdHY2IiAhFJCrQn2Mmn/n938IWtYpFjwaZjGDtr3lo7RHCz94Mny1RTj8xNzfHzJkz4eHhgbS0NBQUFCg9pPRJIOW4u7sr0mT0BTMzMxgbG6O1tVXXpgBQDt7RNusW9AcwHc5rwLWG/t/IyMgIRkZGKsvTeXt7o6+vDw0NDVqxUxPoZExSU4O2IxVJgViKr5P7305fnOer1WAdOV1dXXoTtCMvanB9rqqukffMxmMqoNEy2BgljUZDenq6ovd4vThezxQXNj64KwSv/paPbf+WINbLWuOpRruSy3G+tA0sQzp2PhwJE6OBt7W8V2lvb4+MjAwIBAKEh4ejvb1d7wQS6H/guri4oLKyEuHh4bo2B0D/OZS7XPVlrlVtB+/ICXZiY3GYE45ebsCOs2XYtaw/Mt7MzAw8Hm/I0pYsFgvu7u4oKSnRm+fgcOhEJDdu3KiR7ZSUlAybW8nj8RQ5dr9l16GNJ4Qzxxj3RA4dgTVeSCQS9PT06I1rk8fjQSQS6VVOmrwmpb48hORcL5Tnz58HjUaDlZXVsDm6APBAtCuyKjtwKLsOL/2ShxMvzoQFa3BRHSmXqjoULq/37gyBr73qMVxzc3PMmDEDaWlpSE1NBZfLRVhYmF4JpBwPDw9cuHABwcHBQ76EaBt7e3tkZ2frTUI8m83WWcm85+b44OjlBpy81oTyVh68bc0UIqkKf39/lJSUYPbs2VqydGzoLJudy+Xiu+++w2uvvaYYJ8nJyRk2Oup61OlJ8vl8mJqaQioj+Dalvxf5+ExPGDK0f+j6FrTT2dkJNps94nkZx5Pq6mq4ubnpVaEFOTQaDQEBARCLxRCJRAgMDFTbzo13BMPVyhj13D68c+SaRuzpFUmw9tfLkMoI7o5wxv1R6r34sVgsBAQEoKOjA+bm5ipD9nUJh8OBmZnZiJ4J442lpSWEQiEEAoGuTQHwX9qFLsb4/OzNMS/QHoQA3/6/h87U1FSluxWYeME7OnkS5efnw8/PD5s3b8aWLVsUPvU//vhDqeiyKmQyGUpLS1WKpHwQ2czMDElFLajp6AXHxBAPTNVNIutQlX90xVBFFnSFWCxGY2OjXvZqgP7rKT09XVHXNC0tTe1ar2ZMg/5Sdf9fA/P4lbFHbn5yshg1Hb1wYrPw3p3Bal9Xra2tyMnJwZQpU0AIQV5ent4GUri7u6O2tlbXZigwMDCAubm5TsYBB0M+lNTTM/RUVuPJ04n9k5D/lVcPbq9IrZ4kJZJqsHbtWqxcuRKlpaVKvaqFCxciJSVFrW00NjZCIBDAy8tryDY8Hg9MJhOGhoY4kNHvkngg2nXQMRtt0NXVpTeuVkD/Kv+0tLQoapjqGzKZDBcvXoSZmRnCw8MREREx4qLo0R5WeDqxP2L37cPXxpQWklXVgf+lVwEANt0bqpTUrYrrg3S8vLwQFxeHjo4OFBQUjNqW8cTR0RGdnZ0QCoW6NkUBm83Wm4AieaUbXdkT6WaJYCcLCCUy/JZdpxBJVS9dvr6+KC0t1aKVY0MnIpmVlYUnn3xywHJnZ2e185Dq6+tha2sLJnPoFA65q7W2oxfJJf0RaQ/F6K6Xok+RrYQQvetJ6mNRAzklJSWQSqWIiooCnU4f9ewhz8/1hZetKdp4QnxysmhUtgjEUrz6Wz4I6S+GkeBnq9Z6g0WxslgsTJs2DZWVlWhraxuVPeMJi8UCm83Wq0mZ1ZkWSpvo0h4ajYalsf1ZAgczamBiYgKpVKrypcbZ2XlCRbfqRCSZTOagSaclJSWwtVXvhm9oaBg2uENeQuqv3HoQAkz3sYanzchqWGoKmUymV0E7cveMvvTaZDIZmpub9VIkuVwuysrKEBERoTR+OxqhZBow8NHdUwAAP2bWIKemc8T2fH+hEpVtfNiZM5UqnqhCVZqHmZkZAgMDkZubqzc5gNejb0n8+iaSuu7Z3hnuBBMjBirb+Mhv6IGRkZHKe8HR0RE9PT1az+8cLToRyTvuuAPvvfeeYmZtGo2GmpoarF+/Hvfee69a21CntqNAIACTycThy/1vLXeF6y7kWD7Qry91H+WuX30ZH+3o6ACdTh8ydFxXyGQy5ObmwsfHZ9Be92iEcpqXNe6LcgEhwJt/XoV0BEUGGrv6sONsf77l6wsDwTYe3s2qTh6kl5cXjI2N9dLt6uDggJaWlmErBmkLNputV8E7xsbGOrXFlGmAW4LsAQBH8hrAYrFU2mNlZQUjIyO9q6g0FDorJiBPzejr60NCQgJ8fHxgbm6ODz/8UK1tNDY2DtuTFAqFaOyloayFByMDOhaE6K6XIhdsfRElfRuPbGpqgr29vd6cHznFxcUAoDJAbDRC+frCQFiwDFDQ2I0/c9WP3vz4RBH6xFJEuVvizvDhC4CrWyhAfgw1NTV653a1sLCAkZGR3thlYGAAMzMzvelNDidK2uCO/78W/85vhBGTqdLdSqPR4OjoSImkKthsNk6fPo2///4bX3zxBZ599lkcP34cycnJMDVVzx2qjkgKBAJk1PdfPLN8bTWWmzYaBAKB3qR+APo1Pgro53gkl8tFeXk5IiMjh031GKlQWpka4ZnZPgCAraeKIRAP30vKr+PicF4DaDTg3TuGj2YdaSUdfXW7Xp/Ery/ok8uVxWJBKpUqPHO6YKavLcxZBmjjCVHDow8r2pRIDsP+/fshFAoxffp0rFmzBq+++irmzZsHkUiE/fv3q7UNdUXyYk2/33te4PhO2jscQqFQb0RS34J2+vr6wOfz9aqoASEEly9fho+Pj9o97pEK5Yp4DzhzjNHYJcCe1OFnc9h6qj9s/u5wZ4Q4q7ZptKXm5G5XfQvRt7Oz05ueJPBffqI+YGhoCDp9eGEaVxsYdEUAWV6rhBLJsbJq1apBL7Cenh6sWrVKrW00NDSoHJMkhKCtR4iCpv7E1tkBuhVJfepJykO0h5ocVdt0dXXBzMxMb6qqAP0zzPD5fPj4+IxovZEIJcuQgZdv6XfjfptSAb5w6N5bVlUHkktaYUCn4YV5Q896A4ytFiuNRkNgYCAqKyt12jO5ETabDR6Ppzc9XF3VTB0MGo0GFoul8zSZOf//jL3UIBjWFicnpwkT4aoTkRyqpFNdXZ3ab+3D9SQlEglKuDIQAAEO5rC30K1Aycck9QF51K++VLXRN9cv0D9Vl6enJwwMRp5TOxKhvDPcGZ42puD2ivFjRs2Q7bb/29+zuz/aFe7WQw9JaKJYuZWVFczNzVFTM7Q92sbY2BhMJlNvem8mJiYQ/F975x0X5ZX9/88MQy8z9KE3AQFRwIKigi0ak6ib3U00iZuebLKaVbMpm3w3fWMSN71syv5M3BjTsxo1ibEhoiIiXUF6h6EztOlzf3+wMwvKFGDKBe779ZoXzMyd5znzzMzzec65554jlVq0TZU+7O3trT4vmfpfT7KqU4aOXv1RFOZJ6iAxMRFJSUngcDhYuXLliM4fc+bMwdKlS7Fq1SqD2zGmB6JUKkV139DbM3VB6fFAkydJky0AfSLZ19eH9vZ2hIWFjXsbxgqlDZeDh9OGCgx8klk96tzk5WYxzlZ2wobLwZblutuHmaqbh6YYelVVFVWVeGibBwRgde9NAw3JO14u9gj3HrqAu9ymXyRpm2PWh0VLz2i6fxQUFGDNmjUjwn12dnYIDQ01agnIwMAA1Gq1Xq9TJpOhum/IW50fan2RpGlOkiZbgKFwq77G2Zamvr4efn5+Ez5Go3UPGW0J0G8SA/D28XI0i6U4VNiMW+aNLJu4O3NovvKGeD8Eujtd83rA9O2uhEIhioqK0N7erm0QYG1omgfkcrmws7ODVCqlYlkXDeFWAFgQ6oHq9gFc6dQfFjemQTMtWFQkNd0/QkNDsXHjxnGfhDQL4fXNqQ1K5Wj+b53dpBDrr72jyXujzRapVErNchS1Wo2GhoYx9TXVhzFCacfj4g+LQvHakSvYe75uhEi298lw8L/rfB9YOrpna45+kFwuF0FBQaivr6dGJPl8PlXzWLQIEzBki7Xqtw4nKdgdX+c0oKEfUKlUOpsnuLq6UmGvMVhlUuquu+6Cg4MD5HI5GhsbUV9fP+JmiOE1WXVR1TEAFQH4jrbw51tXENRqNVXeG03zo5qknfHM/ZmD9vZ2cDgcoys/GYMxoddb5wXCzoaLokYxChp6tI//J78ZSjVBUrAAswMFo9prrn6QQUFBaGlpoSaBRyAQoK+vj5rkHRrmATXQYkusvxsAoGmQo/dzMqYQOi1YRSQrKiqwdOlSODo6IiQkBGFhYQgLC0NoaKhR80B9fX0Gy6mVtQ65kTF+rlZfoK652qRFmGjyJDX1dWmho6MDQqHQ5N8ZQ0Lp6WKPG2cPJaL9J68RAEAI8EPeUKGBTfOvFUBzCiQwtIjf0dER3d1jL51nDhwcHMDlco2uk2tuaJgH1ECLLTN8XGDD5WBQyUFTt+6WWcyTNMDdd98NLpeLw4cPIzc3F3l5ecjLy0N+fj7y8vIMvt4YkazrHvrCRPpYvzapVCqFnZ0dNdmktHm1tNgCmDeJyJBQairo/FzcAqVKjfp+oKZzEE52NloB1WBugdRAU7KMZqkDDWIA0CNMAD22ONjaIMRzaN68slW3CGpEkqbEMF1YJcZVUFCA3NxczJw5c1yv7+/vN7jGr1k85L1pPjBrQpMoEUKoEiaZTEZF4gMwdGx6enoQFxdntn3om6NcPMML7k626OiX40JtN4q6hi6qVsz0gbP9/36qlhJIYGgekBZPEmDzgLpwcHCAUqnUOw9oKYI9nFDdPoCGrkGdY1xcXLTdQmg5F+nCKq5NbGzshKpnGONJtvTKAQBBHtYXSblcDjs7O2ubAQDaHxItX0yaBFuTNe3m5mbW/ejyKG1tuLh+1pDH+PMlEYq7h0K+q+P+t9TJkgIJ0OVJAvR4TABdtmjOL3K53MqWDIkkANTrEUnN+ZuWiwx9WEUkX3vtNTzxxBM4deoUOjs70dvbO+JmCGM8yc7BofVmflZO2gGGEndoCbVKpVLY2NhQkyhDWxKRm5ubRT4rXUK5Jm6om8I3F5vQKuHA1oaD5dFDSUSWFkhgSCQlEgkVJ1+AngQVgC6R5HA44HA4VBQ38OMPRUba+3V/Z+zt7WFjYzMpknfGdDZ45ZVXMH/+fLi6usLHxwe/+c1vtF0SAKC2tlb7YV19++6777TjVq1ahaysLCxfvhxeXl4QCARwd3fX/gWAF154AYGBgViyZMk1dSQNiSQhBL2yIZH0cLa+B6erwpA1UCqV4PF41NhDkydp6aIGownl/FAP8Lj/+2zmBgvg6mBrFYEEhuqCOjs7U+NN0iRMPB6PmkxbYOj7RMMcn4fz0KqD7kHdWdEcDgcuLi5GeZJ9fX3Yvn07QkJC4OjoiJSUFOTk5GifJ4Tg2WefhZ+fHxwdHbFq1SpUVFSM2EZWVhYSEhIQGhqK3bt3j+n9jEkkMzIysGXLFpw/fx7Hjh2DQqHA6tWrMTAwlMWkSRkffnvhhRfg4uKCtWvXAhhaOxMaGoq5c+fiX//6F1577TW4ubnhtttuQ3p6Ok6ePImzZ8/ip59+wo8//ojbb78dW7duHWGHUqnUu/xjUK6C4r8XVEwkR0IIocarVavVkMvl1IikpsemJblaKLlqBRKCBNrn54a4W00gNVi7qe9waJqT5HK5VIiSBlo8SXenoXNuj0T/BYStra1RPULvv/9+HDt2DHv37kVxcTFWr16NVatWoalpKPN7165dePfdd/HRRx8hOzsbzs7OWLNmzYiLqfvuuw/PPPMMvvzyS7zyyitoaGgw+v2MKeZ25MiREff37NkDHx8f5ObmIjU1FTY2NteUitu/fz9uvfVWred39OhR1NXVISsrC76+Q6ElNzc3PPnkk/j0009hZ2eHw4cPw9/fH7Nnz4ZSqcSePXtGbNNQ+LJPOvThcDmAo611J7EB+oSJFsHW/KCtnWigQS6XWyX0e3Uyzyw/H1ysG0qWieBzrCqQwFBojJZwq42NDTXNl2kRJQ20iLbbfxuBD8j1f05cLtfgZymRSPDDDz/gxx9/RGpqKgDg+eefx6FDh/Dhhx/ipZdewttvv42//e1v2LBhA4ChLlO+vr44cOAANm3aNGTLwACSkpLg4+MDd3f3Mc2FTujMrbm69PAYvexbbm4uCgoKcN999wEAioqKcODAAcyYMQOtra0oKipCUVERgoOD0dvbi/3796OoqEh7FeDk5ITrr78er7zyyojtqtVqvSdWuXLoi2tnw6FCEGgSJtq8WgDU2KNSqax2MTPco1T1/K/wc39TpVUFEjDuZGYpaBImWsKbGmixx4439BtSqPTbwuVyDX6WuhINHR0dcebMGdTU1EAkEo2o+c3n85GcnIysrCztY88++yxiYmLA5/OxcOFCxMbGGv1+xp29oVarsX37dixevBizZs0adczu3bsRExODlJQUAEBCQgKAoZOj5v/h3HbbbeBwOFCpVDhy5Aja2togEAiuyQzVHFhdlUAGZUNXvbZcDhXVQpRKJQghVNiiUCjA4dBxXDTeCS0nYJVKZfXPKS4uDuk1AwCGLkDnz4qEn5+fVW3icIaqp9DwnVGr1VCr1VTYovneyuVyKi70NL9rax8bLvnv+Vml/7dkjEi6urpi0aJFeOmllxATEwNfX1989dVXyMrKwowZM7RF0jVRSQ2+vr4jCqjfd9992LRpE+RyuTbvxVjGLZJbtmzBpUuXcObMmVGfl0gk+PLLL/HMM89oH6upqcFf//pXNDU1Ye/evSPGxsTE4NNPP8Xy5cu1j+uqGUkIQUtLC37++edRn28aAAAeOESlc4w1oKnuJE3H5ddff7W2CVqys7OtbQI8lQDAg5stQXnZFZSXXbG2SQAwpnkcc0PT9/eXX36xtglazp07Z20T0DIIADxI5Aq9n5NSqTQqKrB3717ce++9CAgIgI2NDZKSknDbbbchNzd3THY5OzuPq7rXuERy69atOHz4ME6fPo3AwMBRx3z//fcYHBzEnXfeqX0sJCQEkZGRKC0tRUhIiPbxmpqhLgdz5swZ8bguuFwuhEIhbrjhhlGfH5Qr4cS/CL6bG25YaLxbbS6qqqrQ19c3qvdsaTo6OnD58mWkpaVZ2xQoFAocO3YMq1evpmJJSkZGBuLi4uDl5WU1Gzo6OnDx4kV8uTEMjTUVcHBwQEpKilWTm65cuQKlUqkzYmRJWltbUVFRgSVLlljbFEgkEqSnp2Pt2rVUeJLHjx/HvHnzrN52blCuBM85B75e7rh+vu6CMTY2NkblI0RERCAjIwMDAwPo7e2Fn58fNm7ciPDwcG0OTGtr64j+wq2trSY7347pzEQIwSOPPIL9+/fj1KlTeuus7t69G+vXr7+mUPSiRYvw8ssvo62tTespHjt2DG5ubkbHiTUT1LoyXPm2toj1toenJx3d7jUCQIMtGhtosEUDj8ejwh4bGxtwOByr2dLe3o7c3FzMmTMHfn5+aK+vgJeXF7Kzs3W22bIUtra2VHxGXC4XXC6XCls0Uxe0FAohhMDOzs7qx4Zva4tZPnbw9dV//h3r+nGNJ9jd3Y1ff/0Vu3btQlhYGIRCIU6cOKEVxd7eXmRnZ+Phhx+e6FsBMMbEnS1btuCLL77Al19+CVdXV4hEIohEomtqUFZWVuL06dO4//77r9nG6tWrERsbiz/84Q8oLCzEr7/+ir/97W/YsmWL0ZmFxsSyaZnEBuizhZbEB80PhBZ7bGxsrLbuTdcyj/j4eIONm82NUqmkJgOZpsIcNCXkAfQl5RmyxVACpoZff/0VR44cQU1NDY4dO4bly5dj5syZuOeee8DhcLB9+3b8/e9/x8GDB1FcXIw777wT/v7+2v7FE2VM37YPP/wQYrEYy5Ytg5+fn/b2zTffjBj36aefIjAwEKtXr75mGzY2Njh8+DBsbGywaNEibN68GXfeeSdefPFF4402ItuONmFitlyLJtxCy7o3Yxc3mxp96yCNabNlbvr6+gxWuLIUMpmMKs+NFlEC6LLHGFtUKpVR9orFYmzZsgUzZ87EnXfeiSVLluDXX3/VeqlPPPEEHnnkETz44IOYP38++vv7ceTIEZNNUYw53GoMO3fuxM6dO3U+HxISMqGJd0dHR4MnC2t6BVdjjOdrKWhaZwb8r4KKueulGoNAIEBra6tF92lMoQBjGjebC7VaDbFYbPV5Lg00VWiioZj4cGjyso2JPkgkEjg5Ga6tfeutt+LWW2/V+TyHw8GLL744JkdrLFjtiCqVShw/fhwff/yx9uq9ubnZqFp+xvQio6lkFE3em729PRQKBTVCSVMFFU0xb0t9VmOppGMtj7Kvr09bQowGaOoaIZPJqKk7DNDlSWrKX+p7XiKRGGxUQQNWEcm6ujrEx8djw4YN2LJlC9rb2wEMFT5/7LHHDL7eWJGkRQhoEmzNj5oWYaKpFqebmxvkcrlF7BlPqTlrCKWmni0tJ1+aPEmaivNrzi80ZIkDQ162Pls0zhATSR1s27YN8+bNQ3d394iw0c0334wTJ04YfL2Li4tBj5M2YaJFCDgcDlX20GQLj8eDq6ur2Yt5T6QWq6WF0hr1bPVBkzDRJti0ZP0Chj1Jzfl7POsWLY1VRDIzMxN/+9vfrpmADw0N1Rat1cdkC7dqQoq0hFxp8t5osgUwf/9EUxQrt6RQWroziiFoEyaabLG3t6fG4zckkn19fXB2dqZmDlUfVrFQrVaPGgptbGw0yv2ejCJJSyktgK55QGOSsCyJu7s7Ojs7zbJtU3bzsIRQKhQKiMXiMZfxMhea0ni0CBNt86O02KIpHWhIJCdDqBWwkkiuXr0ab7/9tvY+h8NBf38/nnvuOZ1VdIbj4uKi7SKvC5pEksfjgcfjUeMx0eS9ubm5obe3lxov29/fH11dXdr2b6bCHO2uzC2Uzc3NcHV1pSZpp7e3F/b29izcOgo0haGNmR811BOYJqwikm+88QbOnj2L2NhYSKVS3H777dpQ62uvvWbw9a6uriCEYHBwUOcYmkQSoGvujSaR1PxQaOlQbm9vD19fX5PWKTVnP0hzCmV9fb1Vu49cTU9PD/h8PjUhRZqEiSbB1px39S0BYZ6kAQIDA1FYWIinn34aO3bsQGJiIl599VXk5+frLGo+HM3B1RdytbW1pSa8CdAlTDQJNpfLhZubm9mTZcZCcHAw6uvrTbK21RINk80hlH19fejp6dFZm9ka0DQ/SgihKsRJk0gqFArY2trqvZihqUCFIaySL6z5QDdv3jyu19va2sLNzQ3t7e0jitoOx8HBAXK5nJoFtjSJJE1zksD/kmWCgoKsbQqAoTY7xcXFaGlpQUBAwLi3YwmB1GDqggNVVVUICAigproNMCSSun7vlkahUECtVlMjTFKp1KqF+YdjjGC3t7dfU9ebVqyiHj4+Prjrrrtw7NixcV+t+/n5oaWlRefzmjAIE6ZrcXBwoCpZhs/naxt40wCXy0VERAQqKyvHPVdqSYHUYCqPUiaToaGhATNmzDCxheNHqVSir6+PGk9SIpFocw1ogDav1lAYuqWlhZoLHkNYRST//e9/Y3BwEBs2bEBAQAC2b9+Oixcvjmkb/v7+evsz0rYekCZP0tXV1WKL5o3B0pVujCE4OBgDAwPo6OgY82utIZAaTCGUVVVV8PLyoqJUoIbe3l7Y2dlRIwS9vb1UzalNtvnR5uZm+Pv7W8iiiWEVkbz55pvx3XffobW1FTt37kRJSQkWLlyIqKgoo+vvGfIkAbqEiSbB5vF4cHFxoWYeUHOyocmbtLW1RXR0NAoLC8eUAGZNgdQwEaEUi8Worq5GTEyMGS0cO52dnXB3d6cmaYem+VGVSkXV0hhjRJJ5kkbi6uqKe+65B0ePHkVRURGcnZ3xwgsvGPVaY0WSphAnLSIJDHlvtIgSl8uFj4+PxYuLGyI8PBz29vYoLS01ajwNAqlhPEKpVquRl5eHiIgIagRAQ2trK3x9fa1thhaaKhFJpVJt5IwGjAn9MpE0EqlUim+//Ra/+c1vkJSUhK6uLjz++ONGvdYYkaTJe6Ot6o65K8uMFaFQaPDztDQcDgeJiYmoq6szGHalSSA1jFUoy8vLAQDR0dGWMM9o5HI5urq6tF3orQ0hhCpPUlNonRYvm81JmoBff/0Vd911F3x9ffHwww/D19cXR48eRV1dHV599VWjtuHn56d3ThKgy3tzcHCASqWiZu0mn8+nSiR9fX3R29tLVUIRMLSOMyYmBvn5+To/OxoFUoOxQikWi1FZWYnExEQqssGH09raCjc3N4u1BzNEf38/CCHUzEnSNB8JGA63SiQSqjKVDWG1OUmJRILPP/8cIpEIH3/8MVJTU8e0DX9//0k1J8nj8WBvb4/e3l5rmwJgSCSlUik1x8fe3h7u7u7UhVyBobCrg4MDSkpKrnmOZoHUYEgoNWHWGTNmUOMdDUckElHjRQL/K2pAy8UETUlExqwfbWlpAY/Ho2bJiiGs8im3trbi22+/xYYNG8ZdtV4TbtUXvnR2djZ5ebHxwuFwqApx2trawtnZmZp5SWAo5CoSiaxtxjVowq719fUjCvBPBoHUoEsoCSEoLi4GAERFRVnTxFFRqVRoa2ujSiRpmo8E6LJHKpVCrVbr9fpbWlogFAqpucgwhMWsHO5BEULQ29ur82YMwcHBkMvler1JZ2dnDA4OmqRyiimgbT0gTaINDIlke3s7NSHp4bi4uGDevHnIz89Ha2vrpBJIDaMJ5ZUrVyASiZCcnEzlSauzsxM8Ho8aEQDoymwF6LKnv78fTk5OekvSVVdXIywszIJWTQyLrYR1d3dHS0sLfHx8dDZx1XTWNqZZsqOjI4KDg1FeXq5zvY2TkxM4HA4GBwepKIEkEAioSk4RCARm63gxHjTFtJuamhASEmJtc65BKBQiISEBFy5cAADMmTNn0gikhuGVedLT0wEAS5cuhZOTk5UtG52GhgYEBARQk5RCCIFYLEZ8fLy1TQEA7ZQJLRcRxhQuLy8vpzJqoQuLieTJkyfh4eEBANof50SJiopCeXk5li1bNurzHA4Hzs7O1FScFwgE6OvrM9hrzZL2VFVVaS9OaCAkJAR1dXVUiiQwNHeqOV60rEsbD46OjlCpVLCzs6Piuzgacrkczc3NOn/f1qC/vx9qtZqaOUCxWAxnZ2dqmi0bK5Jz5861kEUTx2K/jrS0NO3/YWFhCAoKuubETAgZU/cFjUjqg6Z5SQcHB23yjuaCwZoIBALI5XL09fVRU10lKCgIJSUl6O3tpcYmDZoQa0JCArhcLi5cuICkpKRJUzkEGPqNXbp0CU1NTUhNTUV1dbVJar2ag4aGBggEAmoECQDa2trg4eFBTWiaplArAAwMDBhsUlFeXo7bbrvNQhZNHKt80mFhYWhvb7/m8a6urjHFqo0RSRcXF2raMHE4HKqWXvB4POoW8dva2sLf3x81NTXWNmUEV89BBgYGYt68ecjLy8OlS5eMmiKwNoODg8jKyoJIJMLSpUvB5/PN3rh5vBBCUFNTg9DQUGubMoLW1laqkohoE0lDniQhZNKFW60ikrrCe/39/WMKYU02kQToTJahLaM0PDwcDQ0NkMvl1jYFgO4sVqFQiLS0NHR1dSE9PR1dXV1WtFI3hBDU1dUhPT0djo6OWLZsGZydnQGYv3HzeGlra4NSqaTKS1coFOjo6GAiqQO1Wm0w/6O5uRkSiQQREREWtGxiWHQy4tFHHwUw9MN85plnRiQLqFQqbSjLWKKiolBVVaV3jo82keTz+VSJkq+vLwoLC7VVO2hAIBBAIBCgrq4OkZGRVrXFUBarq6srli5disrKSpw7dw5hYWGYOXOm3uw+SyKRSFBQUIDe3l7Mmzdv1NJupm6zZQqqqqoQFhZGzXEEhoTbxcVFe4FhbWQyGVVJOwMDA+BwOHq/O2VlZQgNDaXmXGMMFvUk8/PzkZ+fr12bpbmfn5+PK1euYM6cOdizZ4/R2wsJCQGHw0Ftba3OMS4uLpBKpdQ0YNYk79ASnnNwcACfz6cq5AoAERER2gsga2HsMg8Oh4PIyEikpaWhs7MTp06dsnrWsMZ7PHnyJBwcHLBixQq9tU9p8ii7u7vR1dVFXfIWjUUNaEra0TRS1pcEONlCrYCFPUlNVus999yDd955Z8KJGTY2NpgxYwbKysp09r6zt7eHg4MDxGIxFRUeHB0dYWtrC7FYTEXyDvC/kCtNyxmEQiHKy8tRXV1tlR/VeNZBurq6YsmSJaiqqkJWVhYEAgFmzJgBX19fi2UPK5VK1NfXa7OWdXmPo0GLR1lSUoKwsDCqsofVajVaW1uxcOFCa5uihaZQK2BcUYOysrJJJ5JWmZP87LPPTJa5OHv2bBQWFuodQ9M8oKbyDk1FBYRCIdra2qjxboGh4xQbG4uKigqLz01OpFAAl8tFZGQkVq9eDR8fHxQUFODEiROoqKgwq3cmFotRXFyMo0ePor6+HjExMVi1atWYO2dY26Nsa2uDWCy2epj9arq6usDlcuHu7m5tU7SIxWKqRNIY0S4sLMTs2bMtY5CJsNoCqYsXL+Lbb79FfX39NSfB//znP0ZvZ+7cuTh//rzeMTSJJEBfcXE3NzfY2dmho6ODqnZE3t7ecHd3R0VFBeLi4iyyT1NV0rGzs0NUVBQiIiLQ0tKC+vp6lJaWwtvbG15eXhAIBODz+bCzsxvztgkhkEql6OnpQU9PD1pbW9Hf3w9/f38sWLAAnp6eE/JcreVREkJQUlKCyMjIcR0XcyISiSwaETCGnp4eairXaDqj6OsgQwhBXl4e3njjDQtaNnGsIpJff/017rzzTqxZswZHjx7F6tWrUV5ejtbWVtx8881j2lZSUhI++OADvWMEAsGY1l+aG3d391GLZVsLDoejDbnSJJIAEBsbizNnziA8PNzsJ2pzlJqzsbFBYGAgAgMDMTg4iKamJnR3d6OmpgYSiQROTk7aRCU3NzfweDxwuVxtTeKenh5wOBzI5XKIxWKtMMrlcri6ukIgECAsLAz+/v4mnZuyhlA2NzdDJpMhPDzcrPsZK4QQiEQii12oGYNEIoFEIqHGk5RKpZDL5XojhFVVVZBIJFQdR2Owikju3LkTb731FrZs2QJXV1e88847CAsLwx//+Mcxt09JSkpCXV0dOjs74enpOeoYPp+PgYEBKBQKKia5vby8MDg4SE0lIGAo5Jqfn4/Zs2dTdbUsEAjg6+uLsrKyMWU+jxVL1GJ1cnIaEUaUyWRa4evu7kZ9fT1UKhXUarU29J2bmwsbGxvY2trCzc0Nvr6+iI6O1gqqObGkUKrVapSWliI6OpqqjFZgKCFFIpHA29vb2qZoaW1thaenJxXnM2DoYs7V1VXvdzI3Nxfx8fHURQkMYRWRrKqqwo033ghgKCylSR3esWMHVqxYgRdeeMHobbm7uyM8PBy5ublYvXr1qGMcHByoSt6xtbWFl5cXWltbqRFJLy8vEELQ1tZGnTcZExODU6dOISQkxCxzQtYqVm5vbw8fH59RK5QoFAr8/PPPWLlypVVPhJYSyqqqKnA4HKqSxzTU19fDz8+PqvJ9NGbaGvJqc3NzJ1U5Og1WSdxxd3dHX18fACAgIACXLl0CMHSgBwcHx7y9uXPnIjc3V+8Y2pJlfH19qVovyeVyERwcjLq6Omubcg0uLi6IiopCfn6+yZOLJmM3D0tj7mSevr4+lJWVUdnwWaVSoaGhgarlKEqlEu3t7VRdzBqTRMREcgykpqbi2LFjAIBbbrkF27ZtwwMPPIDbbrsNK1euHPP2jBVJmpJlhEIhOjs7qakqAwytOxWJRNQ0Yh7OjBkzwOVyUVZWZrJtMoE0HnMJJSEE+fn5CA0NpWZJ1HBEIpE28kML7e3tcHR0pKamrSZpR59IapJ2mEgayfvvv49NmzYBAP7v//4Pjz76KFpbW/G73/0Ou3fvHvP2jBFJDw8PdHZ26m3SbEmcnJzg5uaGtrY2a5uixdnZGZ6enlQlOWngcrlISkpCdXW1Scq/MYEcO+YQysrKSigUCsTExJjAQtNTV1eH4OBgqubpRSLRmHM3zIkm30PfGsnq6moMDAxg1qxZFrTMNFhFJD08PLQ1GblcLv7617/i4MGDeOONN8Y155SUlITa2lp0dHToHOPu7g6pVDqucK65oC3kCgChoaGoq6uj5mJiOG5ubiYJuzKBHD+mFMrhYVbaknWAoZN/R0cHVd8RTaYtTaHWjo4OeHh46P0ML168iFmzZk2qcnQaLCaSvb29Rt/GioeHh3apgC54PB7c3d31CqmlEQqFaG1thVqttrYpWvz8/KBUKqkrU6dhxowZ4PF4uHLlyrhezwRy4phCKNVqNfLy8hAWFkZlmBUY8n78/f2pqvzT3d0NQghVx6yjo0PnygINmZmZWLp0qYUsMi0WE0mBQAB3d3e9N82Y8bBs2TKDzZy9vLyoEkmBQAAbGxur1/kcDpfLRVhYGKqrq61tyqhwuVwkJiaipqYGzc3NY3otE0jTMVGhvHz5MlQqFWbOnGkmCyeGQqFAfX09dWs2NV4kLQlOhBB0dHQYnLNNT0+nqnn2WLBYTrMhAZsoy5Ytw9///ne9Y7y8vLQF1mmYYxi+iJ+mNVihoaEoLy+nsvExMBR2TUpKQl5eHlxcXIyykQmk6Rnv8pC6ujo0NjYiNTWVyjArMLTsw8XFhSqPDRgSSX1VbSyNZj5Sn3PT1taG0tJSpKamWtAy02ExkUxLSzP79jdu3Ki3qIC7uztkMhkGBwepaXcjFApRXFyMWbNmUSHcwND6vcDAQFRXV5t1Af9E8Pf3R29vL7Kzs5Gamqp3roMJpPkYq1B2dnaiuLgYCxcupOY3eDWahs+0ebkDAwPo7+8fdV2ttTBmPjIjIwPx8fEGQ7K0YjWfPTMzE5s3b0ZKSgqampoAAHv37tU7r6gPHx8fxMbG4vTp0zrH0Dgv6e3tDZlMpl03Sgvh4eFobGykpgnvaERHR4PP5+PixYs653WZQJofY0Ovg4ODuHDhAuLi4qhaUnE1zc3NUKlUVDV8Boa8SC8vL2qq7AAwKtR66tSpSRtqBawkkj/88APWrFkDR0dH5OXlQSaTARhakLpz585xb3fZsmU4deqU3jGenp5UiaSNjQ28vb2py3Ll8/nacnC0wuFwkJSUBLlcjuLi4mueZwJpOQwJpVKpxIULF+Dv709NUe7RGF4ej5Z5Pw20VdnRzEca8hCZSI6Dv//97/joo4/wr3/9a8RV0eLFi5GXlzfu7Rojkt7e3mhvb6dqiYNQKERLS4u1zbiGmJgYNDQ0UOflDofH4yE5ORnNzc2oqKjQPs4E0vLoEkq1Wo2LFy+Cx+MhPj7eylbqp66ujsryeDKZDJ2dnVSJZG9vL5RK5ZSejwSsJJJlZWWjHrSJtpBKTU1FcXGx3mxRDw8PqNVqdHd3j3s/psbf3x99fX1Ulc0DhsrBBQcHo7S01Nqm6MXJyQkpKSmoqKhAVVUVE0grcrVQDgwM4OLFi5DJZEhOTqbOOxuOUqlEWVkZYmJiqLOzoaEBHh4ecHJysrYpWkQiEXx8fKb0fCRgJZEUCoWorKy85nFNS6Tx4uPjg7i4OJw8eVLnGC6XS90ifltbW/j7+1NZNzU6OhptbW1UXVSMBp/Px6JFi1BaWoqsrCwmkFZEI5QeHh5IT09HX18fFi1aRNVc2mhUV1fD0dGRqmo2wFBYs66ujqr6sYBx4d/jx49j+fLlFrLIPFhFJB944AFs27YN2dnZ4HA4aG5uxr59+/DYY4/h4YcfntC2b7zxRhw6dEjvGM2yC5oICQlBY2OjyQt4TxQHBweEh4ejpKSEqhD1aCiVSu3yHoVCYW1zpjWEECiVSnC53BGtv2hFLpejoqICsbGx1GSZa+jq6oJMJqMqkUgqlUIsFuut/EMIweHDh7UdnyYrVhHJv/71r7j99tuxcuVK9Pf3IzU1Fffffz/++Mc/4pFHHpnQttevX4+ff/4ZSqVS5xgfHx/09/djYGBgQvsyJR4eHrC3tx/zAnlLEBkZCbFYjPb2dmubohNNiHXOnDlYsmQJysrKRsxRMiyHSqXChQsXMDg4iBUrVsDLy8ss3UNMSUVFBdzd3alar6yhrq4OgYGBVK0pFYlEcHd317v0Ki8vD319fWZf/mdurCKSHA4H//d//4euri5cunQJ58+fR3t7O1566aUJ/5CSk5PB4XCQlZWlc4ymqj9N3iSHw9HWTaUNW1tbREVFUetNXj0H6e7ujpSUFFRWVqKoqIiqsn9THalUinPnzkEul2Px4sVwcHAwa5stUyCRSFBTU4PY2Fhrm3INCoUCzc3NCA0NtbYpI2htbTVYP/bgwYNYu3btpGuyfDVWnZ22s7NDbGwsFixYAFtbW7z55psTTg+3sbHBTTfdNClDrkFBQeju7qYymzQsLAwymUy7ppUWdCXpCAQCpKamoqOjA1lZWVS1JJuq9PT0ICMjA46Ojli8eLF2DtLc/SgnypUrVyAUCg32Q7QGDQ0NcHNzo6rylVKpRFtbm8H5yEOHDmHdunUWssp8WFQkZTIZnnrqKcybNw8pKSk4cOAAAOCzzz5DWFgY3nrrLezYsWPC+1m3bh0OHjyod4ymnyNNc1d2dnbw9/dHTU2NtU25BhsbG8ycORMlJSXUHDNDWazOzs5YunQpeDweMjIyxlU8n2EcTU1NOHPmDMLCwjB37txrQoO0CmVPTw8aGxupq64D/K/yD21epDH9LBsaGlBUVIQbbrjBgpaZB4uK5LPPPosPP/wQoaGhqK2txS233IIHH3wQb731Ft58803U1tbiySefnPB+Vq9ejZqaGpSXl+sc4+TkBFdXV+q8yfDwcNTX11MjRMMJDg6Gs7MzSkpKrG2K0cs8bG1tsWDBAgQGBiIzM5O6z3uyQwhBaWkpCgoKMG/ePERFRelMfKFNKFUqFfLy8hAVFQUXFxer2jIa7e3tkMvlCAgIsLYpI2hpaYFQKNSb4HT48GEsWbKEutq348GiIvndd9/h888/x/fff4+jR49CpVJBqVSisLAQmzZtMtnEtIuLC1asWGEw5BoYGIjGxkaT7NNUuLu7w83NDfX19dY25Ro0J7mGhgarJvGMdR0kh8NBTEwMEhIScPHiRZSWlrJ5ShMglUqRnZ2NxsZGLF261KiF7jQJZVlZGbhcLiIjI61mgz6qq6sRGhpKVcKOSqVCS0uLQeE+ePDglAi1AhYWycbGRsydOxcAtA04d+zYYZaU6/Xr1xsMuQYEBKC9vR1SqdTk+58IERERqK6upjJJxtnZGbGxscjPz7eKtzuRQgEBAQFYunQpWltbkZGRMaHCFdMZQggaGxtx8uRJ8Hg8pKWljWnOjAah7O7uRnV1NRITE6krHAAA/f39aG9vp66En0gkgr29vd752/7+fpw8eRLr16+3nGFmxKLfDpVKNSLTicfjmS3MsX79epw7d05vuTcnJyd4eHhQl4zi5+cHtVpNbWgwLCzMKmFXU1TS4fP5SE1NhZ+fH86cOcO8yjEilUpx4cIFFBcXIyEhAfPmzRtX9qI1hVKlUiE/Px+RkZHg8/kW2+9YoLHhMzDk6AQFBel1bA4dOoQZM2ZQ66GPFYu1ygKGrkDvvvtu7doaqVSKhx566JqWOf/5z38mvK+AgACkpqbi66+/1psMFBgYiLq6OkREREx4n6ZieONj2qp/AP87waWnp8Pf398ia8tMWWqOy+Vi5syZ8PPzQ15eHkQiERITE6nMbqQFQgiamppQVFQEHx8frFixQu8aOWMYbz/KiUJ7mFXT8Hnx4sXWNmUEMpkMra2tmDVrlt5xX3zxBTZv3mwhq8yPRT3Ju+66Cz4+PuDz+eDz+di8eTP8/f219zU3U3HHHXfgiy++0DtG05ewv7/fZPs1BaGhoeju7qa2HJyzszPi4uIsEnY1Vy1WPp+PtLQ0rVdZVFREXeidBnp6enD+/PkR3uNEBVKDpT1KTZg1KSmJyjArANTU1IDP5+stHG4NmpubIRAI9PYBbWtrw7Fjx3D77bdb0DLzwiE0TnyZCE3ZpPz8fMTExOgcd+HCBbi5uVGXBl5SUoLu7m6kpKRQVyoLGPIuzp07BxcXF8yZM8cs+7BUsfLe3l6Ulpaivb0dERERmDFjhlVrjSoUCvz888+44YYbrGbHwMAASktLIRKJEBYWhsjISLMtDCeEoKCgAJ2dnWbzKFUqFTIyMhAQEIDo6GiTb98UyOVyHDt2DAsWLKCu+k9mZiYCAwP1zpO+//77+Pbbb/X29Z1s0HkpZSL4fD7WrVuHffv26R2nyXKl7XqB9nJww7Nd29raTL59S3bzcHNzQ3JyMlJSUtDZ2Ynjx4+jqqqK+pqj5kAqlaKoqAgnT56EjY0NVq5cibi4OLNWTrGER3nlyhWqw6wAveXxBgYG0N3dbbB+7BdffIE77rjDQlZZhiktkgCwefNm7Nu3T68A+vr6Qi6Xo6ury4KWGYb2cnDAUNg1Pj4eubm5GBwcNNl2rdXuysPDA4sXL0ZSUhLq6+tx4sQJVFdX660FPFUYHBzE5cuXcfz4cUgkEqSlpSExMdEi84SAeYWypaUFNTU1VIdZaS6P19jYCB8fH71h9srKSuTn5+OWW26xoGXmh85viwlZu3YtxGIxzp07p3OMjY2NNoGHNmgtBzeckJAQ+Pv7Izs72yRiYu1+kBwOB76+vli2bBliY2PR0NCAX3/9FZcuXaJu7nqiaLrL5+Tk4MSJExgYGEBKSgqSk5OtUgrNHELZ29uLvLw8JCUlUVXe7WpoLY+nVqtRW1trsFXXvn37sHbt2ilRQGA4U14k7ezscOuttxpM4AkNDUVTUxN1NT415eCuXLlC9VKF+Ph42NnZIS8vb0Jer7UFcjgcDgeBgYFITU3FokWLIJFIkJ6ejrNnz1LZ1mwsyGQyVFZW4uTJk7hw4QIcHR2xcuVKLFiwwOonOVMKpUwmQ3Z2NiIiIqhqNXU1fX191JbH00ylGGqLNdWyWjVM6cQdDWfOnMGGDRvQ1NSkd91RZmYm/P39qVoOAgxdyaWnpyM8PJy6xcXDkcvlyMjIQFBQ0Lh+7DQJpC6kUikaGhpQV1cHmUwGHx8fCIVC+Pr6mnTOzhyJOwMDAxCJRBCJROjs7ISHh4c2CkBTVRcNE03mUavVyMrKgq2tLebPn09l8puGCxcuwN7e3mwJcBPh/PnzEAgEen/T58+fx5o1a9Da2krd2s6JMuU9SQBYvHgxvLy8DK6/DA0NRU1NDXXzf1wuF7GxsSgrK6N6bszOzg7Jycmoqqoac1/MySCQwFAT6sjISKxcuRKLFy+Gq6srqqqqcOTIEZw5cwaVlZXUhGQJIejq6kJJSQlOnjyJEydOoLW1FX5+fli1ahWWLFmCoKAgKgUSmLhHWVxcDLlcjqSkJKoFsqurC21tbVRm3A4ODqKtrc1gqPWTTz7BHXfcMeUEErBwMQFrweFw8Mc//hEff/yx3vU7/v7+uHTpEtrb2+Hj42NBCw0jFApRUVGBqqoqKn9MGtzc3JCUlITc3Fw4Ozsbte51sgjkcDgcDgQCgfYKWyKRaL200tJS2Nraap/n8/kQCARwcHAw28maEIL+/n709PSgp6cHYrEYPT094HK58PX1RXR0NHx8fKy6rGU8jLfgQE1NDZqbm5GWlgYej97THCEEJSUliIiIoFJgampqIBQK9R7znp4efP3113p7+E5mpkW4FQA6OzsRGBiI3NxcvdljpaWl6O3tRXJysgWtM46Ojg5kZ2fjuuuuo76RaXl5OWpra5GWlqY3I24yCqQhlEqlVqQ0f/v6+mBvbw8+nw9HR0c4ODjAwcEB9vb2I/7ncDjgcDgjwq08Hg8qlQoymQxSqRQymQwSiUR7f2BgAGKxGMDQRcpwYXZ1daU2m3MsjCX02tHRgfPnz2PRokXw9PS0oJVjp7W1FXl5eVi1ahV1FzBKpRJHjx7FggUL4OXlpXPce++9hy+//JKJ5FTgzjvvhLu7O9555x2dYyQSCY4fP44VK1borSxhLbKysuDq6mqwNJS1IYQgNzcXEokEKSkpo4b0pqJA6kKpVKK3txdisXiEwGluwxPGNEKpVqvB4XC04X8OhzNCVDU3R0dHCAQCuLi4TAlB1IUxQjkwMIDTp08jJiaGuj6MV0MIwalTpxAUFIQZM2ZY25xrqKurQ1VVFZYvX64zAkIIQXx8PB5//HHcddddFrbQMkwrkczKysL111+PpqYmvYXVc3Jy4ODggPj4eAtaZxxisRiZmZlYsWIFnJycrG2OXpRKJc6dOwd7e3vMnz9/xAl8OgmkMajVasjlchBCtP+fPn0ay5Ytg52dHbhcLuzs7KieW7ME+oRSIpHgzJkzEAqFVP52r6axsRElJSVYuXIldfPCGgEPCwvTe7Fx6tQp/O53v0NjY6PF1tNamql72TkKCxcuRGRkpMHlIDNmzEBdXR11y0GAoSpCfn5+VDQ+NgSPx8PChQshkUiQm5urXcLCBPJauFyu1it0dnbWXsQ5OTnB0dFRG4qd7uhK5pFKpTh79iy8vb2pj7IAQxeQpaWliI6Opk4ggaEwsEwmQ1BQkN5x77//Pu6///4pK5DANBNJDoeDrVu34v3339ebweru7g53d3dUV1db0DrjiYuLQ1tbm942YLRgZ2eHRYsWoa+vD/n5+Whra2MCyZgQVwulpliIu7s75syZMykuJkpKSuDo6Ejtb6CiogLh4eF6BbyhoQGHDh3Cww8/bEHLLM+0EkkA2LRpE0QiEdLT0/WOi4qKorYcmSYUXFhYSKW3ezX29vbamqjnz59HfHw8tScHxuRAI5QCgQCnT5+Gs7MzEhMTJ4VAdnR0oL6+nlp7Ozs70dvba3BN9ocffoi1a9dSP/c7UaadSDo4OOChhx7C66+/rnecl5cXnJ2dUVtbaxnDxkhgYCDc3d1RVFRkbVOMoq+vDzKZDHZ2dujo6KC6ehBjciCTydDb2wt7e3v09vZCJpNZ2ySDKJVK5OfnIzY2lsrEQGAoMz0sLExvtm1fXx8++ugj/PnPf7agZdZh2okkAPz5z3/GqVOnUFBQoHMMh8NBZGQktZ0gOBwO5syZg7a2tjEv3Lc0mjnIOXPmYNmyZRCLxSPmKBmMsSKRSHD27Fnw+XysXLkSXl5eFulHOVEuX74MR0dHaitnicVidHZ2Gqw69sknnyAyMhLLly+3kGXWY1qKpI+PD+677z68+uqresf5+fmBx+OhsbHRQpaNDU3YtaioiNqr6KuTdBwcHLB48WIMDAwgJyeHygsQBt0MDg7izJkz8PDwQFJSEmxsbCzauHm8tLe3o6GhgdowKzA0FxkcHKx3bbNMJsObb76Jp556itr3YUqmpUgCwGOPPYYDBw6goqJC5xiNN1lRUUFdqToNmrBrcXGxtU25Bl1ZrJo5SqlUiqysLGoFnkEf3d3dyMzMhI+PDxISErQnaUv0o5wISqUSBQUFVIdZ+/v70dLSYnDN5ueffw6BQID169dbyDLrMm1FMiQkBBs3bsSuXbv0jgsMDAQhhFpvktawq6FlHnZ2dli8eDHs7e1x+vRpbcUYBkMXjY2NOHv2LCIiIjB79uxrvBiahfLy5ctwcnKiNswKDM1FBgQE6F1/rVKpsGvXLjz55JNTunDFcKbHu9TBk08+ib179+rt1cjlchEdHY0rV65QGxp0cHDA7NmzqQm7GrsOksfjYd68eQgODkZmZiZVIs+gB01908LCQsyfPx8zZszQGeajUSg1Ydbhni9t9Pb2oqmpyWBd6O+//x4KhQK33XabhSyzPtNaJGNjY7F27Vq8+eabesdpOiXQmukKAAEBAfDw8LB62HWshQI4HA6io6ORlJSEvLw8lJWVURvaZlgehUKB7OxsNDc3IzU1VW9PQw00CaVCoaA+mxUYqlkdGhqq10ZCCF555RU8/vjj1NWZNSfTWiQB4KmnnsLHH3+Mzs5OnWM4HA5iY2NRXl4OhUJhQeuMh8PhYPbs2Whvb7eaRzaRSjr+/v5YunQp6urqcPHiRSrXpzIsS39/P06fPg21Wo3U1FS4uroa/VpahLKkpATOzs5Uh1k7OzvR3t6OqKgoveOOHDmClpYW3HvvvRayjA6mvUguWLAAixYtwhtvvKF3nK+vL1xcXFBVVWUhy8bO8CIDlg67mqLUHJ/PR1paGmQyGc6cOYPBwUETW8mYLLS3t+P06dPw9fXFwoULx9X1xtpC2dbWRn2YVRPKnjFjht6MVkIInn/+eezYsWNKl6AbjWkvkgDw8ssv45133tHrgWm8ycrKSirm/XQREBAAb29v5OTkWGwdoilrsWoyX93d3ZGRkYH29nYTWcmYDBBCUFVVhezsbMTFxWHWrFkTShCxllAODg4iNzcX8fHxVIdZW1tb0d/fb3Bd5P79+1FfX49HHnnEQpbRAxNJDHmTa9euxYsvvqh3nKenJ7y9vVFWVmYhy8aO5qSgVCotMj9pjmLlXC4Xc+bMQUxMDLKzs1FUVMTCr9OAgYEBnDt3DlVVVUhJSUFISIhJtmtpoVQqlcjOzoa/v7/J3oM50HiRUVFReucYlUolnn76aTz33HNUC765YCL5X15++WXs2bMH5eXlesfFxMSgrq4OAwMDFrJs7PB4PCxYsADNzc2oqakx237M3c0jNDQUy5YtQ29vL9LT09HR0WHyfTCsDyEE1dXVSE9Ph4uLC5YvXw4PDw+T7sNSQkkIQV5eHuzs7Khv19XQ0ACVSmWw9uqePXugVqtx3333WcYwymAi+V+io6Nx55134m9/+5vecW5ubggKCsKlS5csZNn4cHJywoIFC3D58mWzhCwt1e7KxcUFixcvRnh4OM6fP8+8yimGxnusrKxEcnIy5syZY7bMSUsIZVlZGcRiMebNm0f1OkKFQoGSkhLExMTo7fQhkUjw/PPP4+9///u0ymgdDr2fohV47rnncPjwYVy8eFHvuJiYGHR2dqK1tdVClo0PT09PxMfH4+LFiyb1fC3dD5LD4SAiIkJb9/XUqVPMq5zkEEJQU1Mzwnv09vY2+37NKZTNzc2oqqpCcnKy3iQYGigrK4OrqysCAgL0jnvvvfcgFArx+9//3kKW0QcTyWEEBATgkUcewVNPPaV3nL29PWJiYlBcXExtgQENISEhCAwMRHZ2tkmWr1izYbKLiwuWLFmCsLAwnD9/HsXFxcyrnIQMDg7i3LlzqKiowIIFC8zqPY6GOYRSLBYjLy8PSUlJcHNzM4GV5qO3txc1NTWIj4/Xm3Xb3d2NV155Ba+88grVXrG5mb7vXAd//etfcfHiRRw/flzvuNDQUPB4PFRWVlrIsvETFxcHBwcH5OXlTWihvjUFUsNwr7KnpwenTp1Cc3MzK0AwCVCpVKioqEB6ejqcnZ2xfPly+Pj4WMUWUwqlTCZDdnY2IiMj4efnZ0IrTQ8hBEVFRQgLCzMo5q+99hrmzp2L6667zkLW0QkTyatwd3fH008/jUcffVSvl6JZvF9RUUH9ej4ul4t58+ahr68PV65cGdc2aBDI4Wi8yoiICBQVFSEzM5OFYClFrVajrq4Ox48fR1NTExYsWICEhASrz3GZQijVajUuXLgADw8Pg4vxaaCpqQkDAwMGy89VV1fjvffeM9gpaTrARHIUtm3bBrlcjn/+8596x3l4eCAgIMDqpeCMwc7ODgsWLEB1dbXeWrWjQZtAauBwOAgLC8OqVavg6+uL7OxsZGVlsWLplEAIQXNzM9LT01FRUYFZs2YhLS3NInOPxjIRodR4ZSqViuqCARoUCgUuXbqEuLg4gxco27dvxx133IF58+ZZyDp6YSI5CnZ2dnjvvffw7LPPGkzOiY2NnRRJPMBQZu7cuXORn5+Pnp4eo15Dq0AOh8fjITo6Gtdddx1cXV2RmZmJ3NxcqpfpTHU6OjqQmZmJoqIihIeHY8WKFQgICKBSSMYrlDU1NRCJREhOTgaPxzOzlRPH2GSdw4cP4+zZs9i5c6eFLKMbJpI6uO6667Bq1So88cQTesdpkngmy9IEoVCI6OhoZGdnGwwTTwaBHI6dnR1mzZqFFStWgMvl4uTJkygqKoJUKrW2adMGsViMrKwsZGdnQygUYtWqVQgLC6M+8WOsQtna2oqSkhIsWLBgUpRp6+npQW1trcFkHalUim3btuHll1+Gl5eXBS2kF7q/uVbmzTffxA8//IAzZ87oHRcaGgonJydcvnzZQpZNjBkzZkAoFOLcuXM6TwaTTSCH4+TkhMTERKSlpUEikeD48eMoLi5mnqWZIISgo6MDFy5cQGZmJlxdXXHdddchKipqUnhYGowVyvb2duTk5CAxMdHkRQ/MgUqlQl5eHiIjIw0m6+zatQvu7u544IEHLGQd/XAISwvUyyuvvIKvv/4aubm5en/wAwMDSE9PR3JyMlVzLroghKCgoABdXV1YvHgxHBwctM9NZoEcje7ublRVVaGlpQU+Pj4IDw+Hl5cXlaE/DQqFAj///DNuuOEGqye46EKlUqGpqQnV1dUYHBxESEgIwsPDJ4VnpQ/Nb6OzsxOLFy8e8X46OzuRlZU1qX4bpaWlaG1tRWpqql6PvqamBrNmzcLJkyeRnJxsQQvphomkAWQyGWbPno2tW7caLO5bXV2NqqoqLF++fFJcQRNCkJubi97eXixevBj29vZTTiCHI5FIUFtbi9raWtjb2yM0NBSBgYHj6jBhbmgWyf7+ftTV1aG+vh729vYIDw9HYGDgpPjOG8toQtnV1YWsrCzExcUZLOVGC93d3Th79iyWLl0KPp+vd+yGDRvg4+ODf/3rXxaybnLARNIIjh49iltvvRVXrlyBUCjUOY4QgnPnzsHFxQVz5syxoIXjR61W4+LFixgcHER0dDRyc3OnpEAOR+MB1dXVoaenR1uI2tPTkxrvkjaRVKlUaGlpQV1dHbq6uiAUChESEgJvb29qjpmpGS6U8fHxyM3NxcyZMxEeHm5t04xCpVIhIyMDAQEBBpd8/PTTT/jDH/6A8vJyNhd5FUwkjWTjxo1QKpX4/vvv9Z4UJlvYFRgSyjNnzqC7uxvx8fGT5iRgCnp7e1FXV4eGhgbY2dlBKBRCKBTCw8PDqskmNIikQqFAe3s7RCIRRCIR7OzsEBoaiqCgIOrLrpkKQgguXLgAkUiEqKgoxMTEWNskoykpKUFbW5vBMKtYLMasWbPw7LPPsrnIUWAiaSTt7e2Ii4vDu+++i02bNukdW11djcrKSixfvpwKL8AQ7e3tOH/+PFxcXMDhcJCSkkJlCNKcqFQqtLa2orW1FSKRCIQQ+Pr6QigUwsfHx+Kfo7VEUiKRaEWxo6MDTk5OIy4cpqrXqIvu7m5kZWXB2dkZCoXimjlKWtGEWVNTUw0m69x///2or6/Hr7/+Ou0+X2NgIjkGvv/+ezz00EO4fPkyfH19dY7ThF01WZY0M3wOMjAwUFsMPSUlZdp4C1dDCEF3d7dWLPr7++Hl5aUVCycnJ7PbYCmRJIRALBZr32tvby88PDy079XFxcVs+6adzs5OnD9/Xhti1ZXMQxtKpRIZGRkIDAw0GGY9cuQINm7ciOLi4ik9xTIRmEiOkY0bN0KhUOCHH37Qe9UlkUhw6tQpzJo1C0FBQRa00HhGS9JRq9XaYgMpKSlUnwwsxcDAgFZEOjs74ezsDIFAoL3x+XyTJ62YSySlUinEYjF6enrQ09OD7u5uqFQq+Pj4QCgUwtfXd9pFEUajo6MD2dnZI5J09GW90kR+fr72QpeFWScOE8kxogm7vvPOO7jtttv0jhWJRMjNzUVaWhp1V+T6sliHnwxSUlIs4jlNFuRyObq6urQi09PTA5lMBhcXlxGiyefzJyRuphBJqVSKnp6eEaIolUqvEXlrz7/SRltbGy5cuGDwt0GjUDY0NODSpUtYtmyZQdvuu+8+NDY24siRIyzMqgcmkuPghx9+wIMPPojLly/rzXYFgEuXLqGjowNLly7V29zUkhizzENTl7K1tRXJyckG08enMxoxGi5IGjFycHAYcbO3tx9xn8fjjXqC0ieShBDI5XJIpdIRN5lMpv1/cHBwhHjz+Xzt38kwT24tGhoaUFhYiISEBAQGBo46hlah7OvrQ0ZGBubNm2fwvPTLL79g06ZNLMxqBEwkx8mmTZsgk8nwn//8R+9VmFqtRmZmJtzd3TF79mwLWjg6Y1kHSQhBRUUFysvLkZSUBH9/fwtZOfmRSqXo7e29RryG31epVLCxsYG9vT1sbGzA4XDA4XC0Xl13d7f24oQQAkIIFAoFZDIZCCGwtbW9RnSH39zc3JggGgkhBCUlJairq8O8efMMtvCiTShVKhVOnz4NHx8fxMXF6R3b09ODWbNm4fnnn8f9999vIQsnL0wkx0lHRwfi4uKwa9cu3HXXXXrHDgwM4NSpU0hMTLSq0Iy3UIAmbBwREYHo6GgWmjEBhBAolUqtaKpUKhBCoFartWJYWFiIxMRE2NraasXTxsZGK4K0RCYmOwqFQrtWODk52eipEZqEsrCwEGKxGEuWLNEbOieE4M4770RbWxsLsxoJE8kJ8Msvv+DWW29FTk4OZs6cqXdsc3Mz8vPzsWzZMjg7O1vIwv8x0Uo6vb29yM7OBp/PR1JS0pSqrkIjNKyTnA709/cjOzsbzs7OmDt37piPNQ1C2dzcjIKCAixbtsxg/sCePXvwxBNPoKCggEWGjITN1k+AtWvX4k9/+hM2btxosGuAv78/AgMDkZOTY/FuIaYoNefm5oa0tDQoFApkZmZS32iawTBEW1sbTp8+DaFQiOTk5HFdjJiicfNE6OvrQ35+PhISEgwKZGlpKR555BHs3buXCeQYYCI5Qf7+97/DyckJjz76qMGxs2bNgo2NDQoKCmApB96UtVjt7OywaNEieHp6IiMjAx0dHSayksGwHIQQVFVV4cKFC4iPj0dcXNyEwo7WEkq5XI7s7GyEhYUZFD2JRIJbb70VW7duxZo1ayxi31SBieQEsbW1xddff42vv/4a3377rd6xNjY2mD9/Prq6ulBRUWF228xRrJzL5WL27NmIiYnB+fPnUVtba5LtMhiWQKVSoaCgABUVFVi8eLHJ1jBbWig1NZddXV2NKpW3fft2uLq64sUXXzSrXVMRJpImICQkBJ9++ikeeOABVFdX6x3r4OCA5ORklJeXo6WlxWw2mbubR2hoKBYuXIjS0lIUFRVBrVabfB8MhimRSqU4e/Ysent7kZaWBnd3d5Nu35JCWVJSAqlUiqSkJINe8DfffIPvvvsOX331FZvfHgdMJE3EzTffjLvuugsbN26EXC7XO5bP5yMxMRF5eXno7e01uS2Wanfl5eWFtLQ0bY89mUxmtn0xGBOhp6cHGRkZcHZ2xpIlS8yWYGMJodS0KTNmHrWqqgoPPvggPvvsM4SEhJjclukAE0kT8o9//ANqtRqPP/64wbEBAQGIiIhAdna2QVEdC5buB+nk5ISlS5fCzs4O6enpEIlEZt8ng2EsarUaZWVlOHPmDMLDw5GUlGT2pTPmFMrOzk4UFxdj/vz5BrPkJRIJNm7ciHvuuQcbNmwwmQ3TDSaSJsTe3h7ffvst9u7diz179hgcHx0dDT6fj5ycHJOEK63VMJnH42HevHmIjY1FXl4ecnNzTSr8DMZ46O3txenTp9HU1ITFixcjMjLSYusCzSGUg4ODyMnJQWxsrME2fIQQPPjgg7C1tcVrr7024X1PZ5hImpiIiAh899132LJlC7KysvSO5XA4SEpKgkKhQH5+/oQyXq0lkBo4HA6Cg4OxfPlyKBQKnDx5knmVDKugVqtRXl6urUBjjvlHYzClUMrlcpw/fx5+fn4ICwszOP7111/HqVOnsH///mnbzcdUMJE0AytXrsSrr76Km2++GY2NjXrH8ng8LFy4EF1dXSgpKRnX/qwtkMNxdHREcnKy1qvMy8tjXiXDYvT29iIzMxMNDQ1YvHgxYmNjrVqZyBRCqVQqtf1eZ8+ebdAb/vnnn/HCCy/gwIEDBmu4MgzDRNJMbN26FevWrcNvfvMbgwvvHRwcsGjRItTX16OysnJM+6FJIDUM9yrlcjmbq2SYneHeo5eXF5YtW2YV73E0JiKUmqUeXC4Xc+fONSiQpaWluP3227F7927MnTt3oqYzwETSbHA4HHzwwQdwdHTEfffdZzCU6uLigkWLFqGsrAwNDQ1G7YNGgRyOxquMiYlBbm4u8vLyoFAorG0WY4ox3HtMSUlBXFwcdXVtxyOUmpJ3EokEycnJBt9Td3c31q9fj61bt2Ljxo2mMn3aw0TSjNjZ2eGHH37AuXPn8OqrrxocLxAIMH/+fBQWFqK1tVXvWNoFUoPGq1yxYgVkMhlOnjxp8L0xGMagVqtRUVExwnv08PCwtlk6GatQlpaWoqOjAwsXLjS41EOpVGLjxo2Ii4tjBQNMDBNJM+Pj44Mff/wRO3fuxIEDB4wan5CQgJycHHR1dY06ZrII5HAcHR2xcOFCzJw5ExcvXkReXh6kUqm1zWJMUnp6epCZmYn6+npqvcfRMFYoq6qqUFdXh0WLFhlc00kIwaOPPorm5mbs3buXNdA2MexoWoCEhATs3bsXmzdvxpkzZwyODwwM1JZ9E4vFI56bjAKpgcPhICQkBCtWrIBKpcLx48dRUlLCQrAMo+nv70dOTg7OnDkDb29v6r3H0TAklPX19SgtLcXChQvh6upqcHv/+Mc/8O233+LgwYNGjWeMDdYqy4J88sknePLJJ5GZmYlZs2YZHF9WVobq6mosXrwYbm5uk1ogR6O7uxslJSUQi8WIiopCWFjYpPAGLAFrlTUSiUSC8vJy1NfXIygoCNHR0VZvdDxRRmuz1dDQgMLCQiQnJxtcCwkMtb7atm0bMjIykJCQYH6jpyFMJC3MSy+9hI8++gjnzp0zqkzUlStXUFtbi5iYGBQXF08ZgdRACEF7eztKSkogk8kwc+ZMBAUFTfuQERPJIRQKBSoqKlBdXQ1fX1/MnDlzSnlLw4UyPDwcJSUlWLBgAXx8fAy+9qeffsLGjRtx6NAhLF++3ALWTk+YSFoYQgi2bt2KEydO4MyZM/Dy8jL4mtzcXDQ2NiImJgZRUVEWsNLyEELQ1NSEK1eugMPhICYmBn5+ftO2c/p0F0mVSoXq6mpUVFSAz+cjNjaWmiUdpoYQgrNnz6KzsxNJSUlGdSbJysrC6tWr8dlnn+H3v/+9Baycvkzvy3UrwOFw8O677yI+Ph433XQTBgYG9I5vb29Hc3MzfH19UV1dbZaC6DTA4XAQGBiIFStWIDw8HEVFRcjMzGQ9K6cZarUadXV1OH78OJqamjBv3jykpKRMWYEEgKamJvT09MDb2xtlZWUGs15LSkpw0003YdeuXUwgLQDzJK2ETCbD2rVr4eDggB9//HFUb+HqOcgrV66gpqZGO0c5lVEqlaiqqkJlZSU8PDwQGxsLPp9vbbMsxnTzJAkhaGlpQWlpKQghmDlzJgICAqZ8JKG+vh5FRUVYsGABvL29r5mjvBrNWtB7770XL7zwghUsnn4wkbQiYrEYy5YtQ0xMDPbu3TsiaUVXko4mmWfhwoVT+upag0wmQ0VFBWpqauDt7Y3w8HB4e3tP+ZPndBFJlUqFxsZGVFdXQyaTITo6GiEhIdNiTrq2thaXLl0akaQzWjKPhra2NixbtgxLly7FRx99NOV/A7TARNLKtLW1Yfny5Zg7dy4+++wz2NjYGMxiraqqQmlpqdET/FMBiUSC2tpa1NbWws7ODuHh4QgKCgKPx7O2aWZhqoukRCJBTU0N6urqYG9vj/DwcAQGBk7Zz3M4hBDtxW5ycjI8PT2vef5qoWxvb8eKFSswe/ZsfP755ywL3IIwkaQAkUiEZcuWISUlBa+88gpycnIMZrE2NjaioKAAc+bMMWqif6ow3POQSCQICQlBWFgYnJycrG2aSZmKIkkIQXd3N6qrq9HS0gIfHx+Eh4fDy8tr2nhFhBAUFRVBJBJh0aJFOqdNhgvlzJkzceONN2LmzJnYt2/ftLiQoAkmkpTQ3NyMtLQ0RERE4KOPPkJoaKjB17S1tSEnJwczZ85ERESE+Y2kCEIIOjs7UV1dDZFIBG9vb4SEhEAoFE6JUN1UEkm5XI6GhgbU1dVBIpEgODgYYWFhcHFxsbZpFkWlUiE3Nxd9fX1YtGiRwQs7QghOnTqFhx56CPHx8fjqq68m/XdhMsJEkiKampqwbNkyLFmyBP/v//0/o0Iq3d3dOH/+PIKDgxEbGzttrsiHI5FIUF9fj/r6eqhUKgQFBSEkJGRSn4Qnu0hqLmLq6urQ3NwMgUCAkJAQ+Pv7T0tPSKFQIDs7G2q1GsnJyUb1eGxvb8eqVasQHh6Ob7/9dlJ+D6YCTCQpo7m5GStWrMCCBQu0c5SG6O/vR1ZWFjw9PZGQkDAlPKnxoClMUFdXB5FIBHd3d/j5+UEoFMLZ2dna5o2JySiShBD09PRAJBKhubkZMplMe8Ey1bOx9SGVSpGVlQUHBwfMnz/fqIuEtrY2rFy5EjExMdi3b9+k+Q5MRZhIUohIJMKKFSuQkJCAf//730b9QDQ/RHt7e8ybNw92dnYWsJReZDIZmpqaIBKJ0NHRARcXFwiFQgiFQri7u1PvcU8WkVSpVGhvb4dIJIJIJIJKpYKvr6/24mS6J5iIxWJkZ2fD09MTiYmJRl3AtrS0YNWqVZg9ezb27t07LT1vmmAiSSltbW1YvXo1AgIC8O233xrlCSkUCuTl5aGvrw/JyclTqnzXRFAoFGhra4NIJEJrayu4XC58fX0hFArh7e1N5UmIZpGUSqVobW2FSCRCe3s77O3ttRcgnp6e0zaScTXNzc3Iy8tDZGQkoqKijLowq6iowOrVq5Gamordu3dT+d2cbjCRpBixWIwNGzZAKpXip59+uiZVfDQIIbhy5Qqqq6sxd+5cCIVCC1g6eVCr1ejq6tJ6PhKJBN7e3hAKhfD19aWmaDZNIkkIQV9fH1paWtDa2oqenh4IBAKtMLq6ulLvmVsSzRKPqqoqJCUlwc/Pz6jXXbx4ETfccAPuvvtuvPbaa+yYUgITScqRSqXYvHkzLl++jF9//dXo4uZNTU3Iz89HdHQ0ZsyYwX5wo0AIQX9/v1Ywu7u74ebmBk9PT/D5fAgEAqsJgDVFUqVSQSwWo6enB2KxGB0dHZDJZCMuJhwcHCxq02RBqVQiLy8PYrEYycnJRs/FHj16FL///e/x/PPP49FHHzWzlYyxwERyEqBSqbB161YcOnQIR44cMarNFjDUmDY7OxteXl5ISEiY9vNDhpDJZGhra0N3dzfEYrG2lyefz9eKpkAggIuLi9lDipYSSaVSid7eXvT09GhFsa+vD7a2thAIBODz+fDw8IC3tzf7/hhgcHAQ2dnZsLOzw/z5843OC/jyyy/xwAMP4JNPPsEdd9xhZisZY4WJ5CSBEIKXXnoJb731Fg4dOoQlS5YY9TqpVIoLFy6AEIL58+dPuUX35kQTZtSIh+YvALi5uWlF0xzCaQ6RVCqVI95HT08P+vr6YG9vr70I0Px1dHRk0Ycx0N7ejosXLyIgIACzZs0y+rvw9ttv45lnnsH333+PNWvWmNlKxrggDJ3s3LmTzJs3j7i4uBBvb2+yYcMGcuXKFe3znZ2dZOvWrSQqKoo4ODiQoKAg8sgjj5Cenp4R2wFwze2rr74aMeb5558nAQEBZPHixaSsrEynTR999BFxdnYmBw4cMPp9KJVKUlBQQH766SfS3Nxs9OsY16JWq4lYLCb19fWkqKiIZGZmkkOHDpEDBw6QX375haSnp5OsrCySn59PSkpKSHV1NWlubiZdXV1kcHCQqFQqo/Yjl8vJgQMHiFwuNzhWoVCQ/v5+0tHRQRobG0llZSW5dOkSuXjxIjl79iw5ceIE+emnn7Q2ZmVlkZKSEtLc3EwGBweJWq2e6GGZtqjValJaWkoOHTpEamtrjX6dSqUiTz75JPHy8iLZ2dk6x2VkZJCbbrqJ+Pn5EQBk//79I55/7rnnSHR0NHFyciICgYCsXLmSnD9/fsSYkJCQa84/r7zyyogxn3zyCQkODiYJCQnXvH66w1Kn9JCRkYEtW7Zg/vz5UCqVePrpp7F69WqUlJTA2dkZzc3NaG5uxuuvv47Y2FjU1dXhoYceQnNzM77//vsR2/rss89w/fXXa+8LBALt/2fPnsVPP/2EH3/8EdnZ2di6dSuOHj06qk1//OMf4e3tjTvuuAPPPPMMnnjiCYNX/DY2NpgzZw68vLyQl5enLTzAwmdjh8PhwM3NDW5ubtpygIQQSCQSSKVSSKVSyGQy7f89PT3a+zKZDABgZ2cHBwcHODg4gMfjgcvlgsPhaG9cLhfkvwGeS5cugcPhgBACtVoNQggIIZDL5dp9KJVKcDgc7Tbt7e3h4OAAFxcXeHl5aR9zdHSEnZ0d8xBNhEQiQV5eHqRSKZYuXWp0l5r+/n7ceeedKCwsxJkzZxAdHa1z7MDAAObMmYN7770Xv/3tb695PioqCu+//z7Cw8MhkUjw1ltvYfXq1aisrNQWTQeAF198EQ888ID2/vDM9/r6euzatQtff/01mpqacM8996CkpMSo9zIdYCKphyNHjoy4v2fPHvj4+CA3NxepqamYNWsWfvjhB+3zERERePnll7F582YolcoR6duabMDR6O7uhr+/P2bPng2lUok9e/boteu3v/0tQkNDsWHDBhQVFeH//b//Z1RWZkBAAPh8Pi5evIjMzEzMnz9/0i2ypxEOhwMnJyeDoWy1Wj1CMDUCd7UAqtVqqFQqAACPxxtVSIcLrb29PRM/C9Pa2oq8vDz4+voiOTnZ6KUatbW1WL9+Pby8vHDhwgWDGetr167F2rVrdT5/++23j7j/5ptvYvfu3SgqKsLKlSu1j7u6uuo8//T29kIgEGD27NkQCoUG+1lOO6znxE4+KioqCABSXFysc8y//vUv4uXlNeIxAMTf3594enqS+fPnk927d48IccnlcrJmzRrC4/GIQCAgx48fN8oekUhEUlJSyLx580hjY6PR70OpVJKioiJy+PDhMb2OYTnGEm5lWA6VSkUuXbpEDh06ROrq6sb02lOnThEvLy+ydevWcX2uGCXcOhyZTEb+8Y9/ED6fT9rb27WPh4SEEF9fX+Lh4UESEhLIrl27iEKhGPHae++9l9jY2BBHR0fyxRdfjNm2qQwTSSNRqVTkxhtvJIsXL9Y5pr29nQQHB5Onn356xOMvvvgiOXPmDMnLyyOvvvoqsbe3J++88841r29tbSUymWxMdkmlUnLPPfcQoVA45rmE5uZm8tNPP5H8/PxrfjQM68JEkj76+/tJRkYGOXnyJOnt7R3Taz/66CPi5OREPv7443HvX5dIHjp0iDg7OxMOh0P8/f3JhQsXRjz/xhtvkPT0dFJYWEg+/PBDIhAIyI4dO67ZTkdHBxkcHBy3fVMVJpJG8tBDD5GQkBDS0NAw6vNisZgsWLCAXH/99QZPbM888wwJDAw0mW1qtZq8/fbbxMnJifz73/8e02sHBgZIZmYmOXr06IirT4Z1YSJJD2q1mlRXV5NDhw6RgoIColQqjX6tXC4nf/rTn4iXlxfJyMiYkB26RLK/v59UVFSQrKwscu+995LQ0FDS2tqqczu7d+8mPB6PSKXSCdkzXWD1o4xg69atOHz4MNLT0xEYGHjN8319fbj++uvh6uqK/fv3G0zZT05ORmNjozaRY6JwOBxs27YN+/fvx7Zt2/Doo49CoVAY9VonJycsXrwY4eHhOH/+PIqLi6FUKk1iF4Mx2RkcHMS5c+dQUVGB5ORkzJkzx+iEN5FIhNWrV+PMmTPIyclBamqqWWx0dnbGjBkzsHDhQm0pu927d+scn5ycDKVSidraWrPYM9VgIqkHQgi2bt2K/fv34+TJkwgLC7tmTG9vL1avXg07OzscPHjQqEokBQUFcHd3N6pdzlhYvXo1Lly4gBMnTmDp0qVG/wg4HA4iIiKwbNky9PT04NSpU+js7DSpbQzGZIIQgpqaGpw8eRIuLi5Yvnz5iGxRQxw/fhwJCQnw8/PD2bNnjeoPayo0CWK6KCgoAJfLhY+Pj8Vsmsyw7FY9bNmyBV9++SV+/PFHuLq6QiQSARiqwOLo6KgVyMHBQXzxxRfo7e1Fb28vAGgrlBw6dAitra1YuHAhHBwccOzYMezcuROPPfaYWWyOjIxEdnY2/vKXvyAxMRG7d+8eNXV8NFxcXLBkyRJUV1cjKysLISEhiImJYUWWGdOKwcFB5OfnY2BgAAsWLBiTmCiVSrzwwgt466238M477+Dee++dUNZxf38/KisrtfdrampQUFAADw8PeHp64uWXX8b69evh5+eHjo4OfPDBB2hqasItt9wCAMjKykJ2djaWL18OV1dXZGVlYceOHdi8eTPc3d3Hbde0wtrxXprBKEUAAJDPPvuMEEJIenq6zjE1NTWEEEJ++eUXkpCQQFxcXIizszOZM2cO+eijj4xeVD4RvvvuO8Ln88nWrVuJRCIZ02v7+vrI6dOnybFjx0hbW5uZLGTogs1JWh61Wk2qqqrI4cOHSX5+/piPfUNDA1m6dCmJjY3VmwE/FnSdY+666y4ikUjIzTffTPz9/YmdnR3x8/Mj69evH5G4k5ubS5KTkwmfzycODg4kJiaG7Ny5k81HjgFWlm6KU11djU2bNkGpVOKbb75BZGSk0a8lhKC6uhpXrlyBj48PZs2aRU2XjKkOTV1ApgNdXV0oKiqCUqnE7NmzxxyK/Omnn3DXXXdhw4YNePfdd9n64ykEm5Oc4oSHh+PMmTNYvnw55s6diy+//NLo12rmKleuXAkul4sTJ06goqICarXajBYzGJZDJpMhLy8P586dg7+/P5YvXz4mgZTL5Xj88cdx22234Z133sHu3buZQE4xmCc5jTh8+DDuvvturFy5Eu+///6YEhEAoKOjA8XFxVCr1YiPj2cT/2aEeZLmRa1Wo7a2FqWlpfD29sasWbPGXPw/Pz8fd999N2xsbPD1118jKirKTNYyrAnzJKcRN910E0pKSqBSqRAXFzeipJ4xeHl5IS0tDaGhocjJyUFOTg4rYcWYdHR1deH06dOorq7G/PnzsWDBgjEJpFwux3PPPYfFixfjt7/9LbKzs5lATmGYJzkNIYTgm2++wdatW7Fy5Up88MEH8PLyGtM2pFIpLl++jJaWFoSFhSEyMtLo/nkMwzBP0vT09fWhtLQUbW1tiIqKQkRExJiL/BcUFODuu+8GMFTLOSEhwfSGMqiCeZLTEA6Hg02bNuHy5ctQKBSIjY0ds1fp4OCAuXPnYsmSJRCLxTh+/DjKy8tZIQIGdUgkEuTn5+PUqVOwt7fHqlWrEBUVNSaBlMvleOGFF5CSkoLf/OY3uHDhAhPIaQLzJKc5hBB8/fXX2Lp1K6677jq8//77Y/YqgaGmsyUlJZBKpYiOjkZwcLBJmxBPN5gnOXHkcjkqKipQU1MDoVCImTNnwsXFZczb0XiPhBDs2bMHiYmJZrCWQSvsLDbN4XA4uO2223D58mXI5XJER0fj448/1rZqMhZvb2+kpqYiPj4elZWVOHnyJJqamsCuwRiWRqlUory8HMeOHUNvby+WLFmCefPmjVkgxWIxduzYgUWLFmH9+vXIyclhAjkNYZ4kYwSHDx/Gn//8Z3h6euKDDz7AggULxrwNtVqN+vp6lJWVwdbWFpGRkQgICGCe5RhgnuTYUSgUqK6uRnV1NZycnBAbGzvmDG5gKLqyb98+PPbYY4iLi8P777+PmJgYM1jMmAwwkWRcg0Qiwa5du7Br1y7ccccd2Llz57hCsCqVCg0NDaioqAAAzJgxA8HBwWNOlpiOMJE0HqlUiqqqKtTW1oLP5yMqKgre3t7jKgdXVFSErVu3orq6Gm+++SZuueUW1sx6msMu7RnX4OjoiOeeew7FxcUQiUTjDsHa2NggNDQUK1euRExMDGpra3Hs2DFUVFQY3aWEwdDFwMAACgsLcezYMfT392PRokVYsmQJfHx8xixsYrEY27dvR3JyMhYtWoQrV67g1ltvZQLJYJ4kwzCHDx/Gtm3b4O7ujrfffhtLliwZ13YIIWhtbUVFRQV6e3sRFhaGsLAwVupuFJgnqZuenh5UVVWhubkZ/v7+iIyMhJub27i2pVKp8Pnnn+Opp57CrFmz8N5777HQKmMETCQZRiGVSvH6669j165dSEtLw86dOxEfHz+ubRFC0NnZicrKSrS3t0MoFCI8PBweHh7syv2/MJEciVqtRnNzM2pqaiAWixEUFIQZM2aMuwQcIQQHDx7E008/DalUildeeYWFVhmjwkSSMSba29vx8ssv4+OPP8Ytt9yCF198cUK98vr7+1FbW4u6ujo4OTkhLCwMAQEB014YmEgOMTg4iLq6OtTV1YHH4yEsLAzBwcETOiaZmZn461//isrKSjz77LN44IEHWCEMhk7YnCRjTHh7e+Ptt99GaWkpOBwOYmJisH37drS3t49rey4uLpg1axbWrFmDsLAw1NbW4tdff0VhYSHEYrGJrWdMBgghEIlEOH/+PI4fP47e3l4kJiZi5cqViIiIGLdAFhUV4aabbsKNN96I66+/HlVVVdiyZQsTSIZemCfJmBDFxcV4+umnkZGRgb/85S/YsWPHuOeHNHR3d6Ourg6NjY1wdnZGYGAgAgMDp9Xc5XTzJAkhEIvFaGxsRGNjIzgcDkJCQhASEjLhz726uhrPPfccvv/+ezz00EN4+umnx7U0hDE9YSLJMAlnzpzBU089heLiYmzduhXbtm2b8IlIqVSipaUFjY2NaG9vh6enJwIDA+Hv7z/lhWO6iOTAwIBWGCUSCfz9/REYGDjuJRzDKS4uxquvvorvv/8emzZtwosvvoiQkBATWc6YLvCsbQBjarBkyRKcPn0amZmZeOWVVxAaGor77rsPjz32GIKDg8e1TR6Ph6CgIAQFBUEqlaKpqQm1tbUoKiqCr68vAgMD4evry9ZdTjJkMhmam5vR2NiI7u5u+Pj4YObMmfD19QWPN/FTUlZWFl555RUcO3YMd999N0pLSxEeHm4CyxnTEeZJMsxCfn4+Xn31Vfz444+47bbb8OSTT2LmzJkm2XZfXx8aGxvR1NQEqVQKb29vCIVC+Pr6wsHBwST7sDZTyZMkhKCvrw+tra0QiUTo7u6GQCBAUFAQ/P39YW9vb5J9HDt2DDt37kReXh4efvhhbN++HX5+fiZ4B4zpDBNJhlkpLy/Hrl278MUXX+DGG2/E448/juTkZJOk2mtOviKRCCKRCD09PRAIBBAKhRAKhXB1dZ20Kf2TXSTVajU6Ozu1wiiRSODj42PyixmFQoH9+/fjtddeQ319PbZv344//elPcHd3N8n2GQwmkgyL0NjYiDfffBO7d+9GVFQUtm7dio0bN5rU85NKpdqTcnt7O+zt7eHj4wMvLy94enpOKi9zsokkIQT9/f3o7OxER0cH2trawOVytRcsXl5eJgmlamhra8Mnn3yCjz76CLa2ttixYwfuv//+MTVPZjCMgYkkw6L09fXhiy++wPvvv4+2tjbcd999ePDBB00+Z6RSqdDe3o729nZ0dnZCLBbDxcUFXl5ek0I0aRfJq0Wxo6MDCoUCHh4e8PT0hI+PD9zd3U3qyRNCcO7cOXz44Yf4/vvvkZaWhq1bt+KGG25g89IMs8FEkmEVCCE4efIkPvzwQxw6dAjLly/HQw89hJtuusmkHocGuVyuPaEPF01PT08IBAIIBAK4ublR06mENpFUKBQQi8Xo6elBT0/PCFHUXHS4u7ubRazEYjG++OILfPTRR2hsbMSdd96Jhx9+2GRz3AyGPphIMqxOc3MzPv30U3zyySdQKpW4/fbbsXnzZsyZM8dsc4oa0dQIZk9PD9RqNVxdXbWiaU3htKZIXi2IPT09GBgYgIODg/a4mFMUgaHlP8eOHcO+ffuwf/9+xMfH46GHHsKtt97KQqoMi8JEkkENKpVqxIkxJCQEmzdvxu2332729W2EEAwMDKCnp2eEQKhUKri4uMDZ2RkuLi7am7OzM+zt7c0m4uYWSUIIBgcHMTAwgP7+fvT392v/HxwcHCGIAoEAfD7f7OFpQghycnLwxRdf4JtvvoGtrS1uu+027QUTg2ENmEgyqGRgYAA//vgj9u3bh6NHj2LhwoXYvHkzbrnlFnh4eFjEBo2Q9PX1jRCT/v5+SKVS8Hg8rWA6ODjAwcEB9vb22v8dHBzA4/HGJaQTEUlCCORyOaRS6YibTCaDRCLBwMAABgYGQAiBk5PTNeLv5uZmkmUZxlJZWYl9+/bhiy++QFtbG37/+9/jjjvuQFpaGptrZFgdJpIM6mlra8M333yDffv2IT8/HytXrsT69etx0003ITAw0Co2KZVKrXAODAxAJpNdI0gqlQo2Njawt7eHnZ0deDzeNTcbGxvt/xwORyuoarUahYWFmD17tjbcq1aroVQqtTeVSjXivlKphEwmg0wmAyEEtra214i2g4OD1it2cnKySiiZEIKioiIcPHgQBw8eRGFhIW644QZs3rwZN95447QqP8igHyaSjElFZWUl9u/fj0OHDuHcuXOYM2cO1q9fj/Xr1yMhIYGadZGEECiVSq1oKhSKawTtaqEjhEDzc1Sr1ejq6oKnp6dWyLhcrk6B1dzs7Oy0YkiTFyaTyZCRkYGDBw/i0KFD6OzsxOrVq7Fu3Tps2LDBYtEBBmOsMJFkTFo6Ojrwyy+/4ODBgzhy5AgEAgHWrVuHdevWITU1ddy9BmmAtuzW8dDa2oqjR4/i0KFDOHLkCNzc3LB+/XqsW7cOy5cvp3oJDoOhgYkkY0qg8VQOHTqEQ4cOoampCQsWLMCyZcuwfPlyLFq0aFKJ5mQUyba2NmRkZCA9PR2nTp3ClStXkJiYSKWnz2AYCxNJxpSktrYWp06dwqlTp5Ceno6WlhataC5btgwpKSlULyWYDCKpEUXNcb5y5Qpmz56tPcZLly5lYVTGpIeJJGPKQwi5RjSbm5sRFxeHuXPnam9z5syhJmmENpHs7OxEbm7uiFtdXd0IUUxNTWWiyJhyMJFkTDsIIWhoaLjmpN/V1YXY2FgkJSVh7ty5SExMRHR0NLy8vCweJrSWSKrVajQ0NKC0tBR5eXkjBDE8PHzERcXcuXNZIXHGlIeJJIOBIeFsbGwcIZqFhYVobm6GQCBAVFTUiFtkZCQiIyPh6upqFnvMKZKEELS3t6O8vBwVFRUoLy/X3ioqKqBUKhEeHo7ExEStGCYlJTFBZExLmEgyGHro7+9HZWXlCCEpLy9HWVkZenp64OPjAz8/P/j7+8PPz097G37fx8cHDg4OY/JGxyOSmqLjIpEIzc3NaGlp0d6G329qakJvby8CAgKuEf+oqCiEhYVREeJlMGiAiSSDMQ4IIejs7ERVVdUIMbpalNra2qBWq7XVeVxdXa/56+rqCicnJ9jY2IDL5YLL5YLD4aC6ulpbjk+znlJT8aevr0/7V/N/f38/CCGws7MbIdhXi7a/vz8iIiLg4uJi5aPIYNAPE0kGw4wolUp0d3ePELPR/h8cHIRardbeVCqVVjA1NxsbG235OI24Xv2/m5sbBAIBW2rBYJgIJpIMBoPBYOiAjuZ5DAaDwWBQCBNJBoPBYDB0wESSwWAwGAwdMJFkMBgMBkMHTCQZDAaDwdABE0kGg8FgMHTARJLBYDAYDB0wkWQwGAwGQwdMJBkMBoPB0AETSQaDwWAwdMBEksFgMBgMHTCRZDAYDAZDB0wkGQwzcvr0aaxbtw7+/v7gcDg4cODAiOf7+/uxdetWBAYGwtHREbGxsfjoo49GjJFKpdiyZQs8PT3h4uKC3/3ud2htbR0x5uDBg4iKikJ0dDQOHz5s7rfFYEwbmEgyGGZkYGAAc+bMwQcffDDq848++iiOHDmCL774AqWlpdi+fTu2bt2KgwcPasfs2LEDhw4dwnfffYeMjAw0Nzfjt7/9rfZ5mUyGLVu24J///Cfef/99PPzww5DL5WZ/bwzGdIBnbQMYjKnM2rVrsXbtWp3Pnzt3DnfddReWLVsGAHjwwQfx8ccf48KFC1i/fj3EYjF2796NL7/8EitWrAAAfPbZZ4iJicH58+excOFCyGQy2NjYICEhAQDA4/Egk8lgZ2dn7rfHYEx5mCfJYFiRlJQUHDx4EE1NTSCEID09HeXl5Vi9ejUAIDc3FwqFAqtWrdK+ZubMmQgODkZWVhYAwM3NDffccw/8/Pzg7++Phx9+GK6urlZ5PwzGVIN5kgyGFXnvvffw4IMPIjAwEDweD1wuF//617+QmpoKABCJRLCzs4NAIBjxOl9fX4hEIu395557Dtu3bweXy2UCyWCYECaSDIYVee+993D+/HkcPHgQISEhOH36NLZs2QJ/f/8R3qMx8Pl8M1nJYExfmEgyGFZCIpHg6aefxv79+3HjjTcCAGbPno2CggK8/vrrWLVqFYRCIeRyOXp6ekZ4k62trRAKhVaynMGYPrA5SQbDSigUCigUCnC5I3+GNjY2UKvVAIC5c+fC1tYWJ06c0D5fVlaG+vp6LFq0yKL2MhjTEeZJMhhmpL+/H5WVldr7NTU1KCgogIeHB4KDg5GWlobHH38cjo6OCAkJQUZGBj7//HO8+eabAIZCqPfddx8effRReHh4wM3NDY888ggWLVqEhQsXWuttMRjTBg4hhFjbCAZjqnLq1CksX778msfvuusu7NmzByKRCE899RSOHj2Krq4uhISE4MEHH8SOHTvA4XAADBUT+Mtf/oKvvvoKMpkMa9aswT//+U8WbmUwLAATSQaDwWAwdMDmJBkMBoPB0AETSQaDwWAwdMBEksFgMBgMHTCRZDAYDAZDB0wkGQwGg8HQARNJBoPBYDB0wESSwWAwGAwdMJFkMBgMBkMHTCQZ04JTp06Bw+Ggp6fH2qaMIDU1FV9++aVZtn333XfjN7/5jfb+smXLsH37drPsazSOHDmChIQEbR1aBmMywkSSMenhcDh6b88//7xJ93XgwAGTbOvgwYNobW3Fpk2bTLI9Q/znP//BSy+9ZJF9AcD1118PW1tb7Nu3z2L7ZDBMDRNJxqSnpaVFe3v77bfh5uY24rHHHnvM2iaOyrvvvot77rnnmi4gw1EoFCbbn4eHh8UbMt9999149913LbpPBsOUMJFkTHqEQqH2xufzweFwRjzm4uKiHZubm4t58+bByckJKSkpKCsrG7GtH3/8EUlJSXBwcEB4eDheeOEFKJVKAEBoaCgA4OabbwaHw9Her6qqwoYNG+Dr6wsXFxfMnz8fx48f12tze3s7Tp48iXXr1o14nMPh4MMPP8T69evh7OyMl19+GSqVCvfddx/CwsLg6OiI6OhovPPOOyNep1Kp8Oijj0IgEMDT0xNPPPEEri7LfHW4de/evZg3bx5cXV0hFApx++23o62tTfu8JkR94sQJncessLAQy5cvh6urK9zc3DB37lxcvHhR+/y6detw8eJFVFVV6T0eDAatMJFkTCv+7//+D2+88QYuXrwIHo+He++9V/tcZmYm7rzzTmzbtg0lJSX4+OOPsWfPHrz88ssAgJycHADAZ599hpaWFu39/v5+3HDDDThx4gTy8/Nx/fXXY926daivr9dpx5kzZ+Dk5ISYmJhrnnv++edx8803o7i4GPfeey/UajUCAwPx3XffoaSkBM8++yyefvppfPvtt9rXvPHGG9izZw8+/fRTnDlzBl1dXdi/f7/eY6FQKPDSSy+hsLAQBw4cQG1tLe6+++4xHbM77rgDgYGByMnJQW5uLv7617/C1tZW+3xwcDB8fX2RmZmp1xYGg1oIgzGF+Oyzzwifz7/m8fT0dAKAHD9+XPvYTz/9RAAQiURCCCFk5cqVZOfOnSNet3fvXuLn56e9D4Ds37/foB1xcXHkvffe0/n8W2+9RcLDw695HADZvn27we1v2bKF/O53v9Pe9/PzI7t27dLeVygUJDAwkGzYsEH7WFpaGtm2bZvObebk5BAApK+vjxBi3DFzdXUle/bs0WtrYmIief755w2+JwaDRpgnyZhWzJ49W/u/n58fAGhDjIWFhXjxxRfh4uKivT3wwANoaWnB4OCgzm329/fjscceQ0xMDAQCAVxcXFBaWqrXk5RIJHBwcBj1uXnz5l3z2AcffIC5c+fC29sbLi4u+OSTT7TbF4vFaGlpQXJysnY8j8cbdTvDyc3Nxbp16xAcHAxXV1ekpaUBwDV26ztmjz76KO6//36sWrUKr7766qhhVUdHR73Hj8GgGSaSjGnF8FCgpqmxZolCf38/XnjhBRQUFGhvxcXFqKio0CloAPDYY49h//792LlzJzIzM1FQUID4+HjI5XKdr/Hy8kJ3d/eozzk7O4+4//XXX+Oxxx7Dfffdh6NHj6KgoAD33HOP3u0bYmBgAGvWrIGbmxv27duHnJwcbXj26u3qO2bPP/88Ll++jBtvvBEnT55EbGzsNWHerq4ueHt7j9tWBsOa8KxtAINBC0lJSSgrK8OMGTN0jrG1tYVKpRrx2NmzZ3H33Xfj5ptvBjAktrW1tXr3lZiYCJFIhO7ubri7u+sde/bsWaSkpOBPf/qT9rHhHhufz4efnx+ys7ORmpoKAFAqlcjNzUVSUtKo27xy5Qo6Ozvx6quvIigoCABGJNyMhaioKERFRWHHjh247bbb8Nlnn2mPhVQqRVVVFRITE8e1bQbD2jBPksH4L88++yw+//xzvPDCC7h8+TJKS0vx9ddf429/+5t2TGhoKE6cOKEVOACI++9T2AAAAfdJREFUjIzEf/7zHxQUFKCwsBC33367wQX0iYmJ8PLywtmzZw3aFRkZiYsXL+LXX39FeXk5nnnmGW3SkIZt27bh1VdfxYEDB3DlyhX86U9/0ls4ITg4GHZ2dnjvvfdQXV2NgwcPjnkNpUQiwdatW3Hq1CnU1dXh7NmzyMnJGZGMdP78edjb22PRokVj2jaDQQtMJBmM/7JmzRocPnwYR48exfz587Fw4UK89dZbCAkJ0Y554403cOzYMQQFBWm9ozfffBPu7u5ISUnBunXrsGbNGp0enAYbGxvcc889Ri20/+Mf/4jf/va32LhxI5KTk9HZ2TnCqwSAv/zlL/jDH/6Au+66C4sWLYKrq6vWmxsNb29v7NmzB9999x1iY2Px6quv4vXXXzdoy9XvobOzE3feeSeioqJw6623Yu3atXjhhRe0Y7766ivccccdcHJyGtO2GQxa4BBy1WIqBoNhEUQiEeLi4pCXlzdCiKcKHR0diI6OxsWLFxEWFmZtcxiMccE8SQbDSgiFQuzevVtvFuxkpra2Fv/85z+ZQDImNcyTZDAYDAZDB8yTZDAYDAZDB0wkGQwGg8HQARNJBoPBYDB0wESSwWAwGAwdMJFkMBgMBkMHTCQZDAaDwdABE0kGg8FgMHTARJLBYDAYDB0wkWQwGAwGQwf/HwYbGKlTfLATAAAAAElFTkSuQmCC\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "This Python script allows you to visualize the physical properties and behavior of a monopole antenna at a specific frequency. It provides a practical tool for understanding and designing antennas in an educational or engineering context.\n",
        "\n",
        "This tutorial should help students and engineers visualize and calculate fundamental parameters of monopole antennas, complementing the theoretical knowledge with practical Python coding examples."
      ],
      "metadata": {
        "id": "08wS7K8mo49F"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "## 7. Conclusion\n",
        "\n",
        "Monopole antennas are a versatile and widely used antenna type in both commercial and amateur radio applications. Understanding their basic operation, design variations, and practical considerations is crucial for any advanced study or application in RF engineering.\n",
        "\n",
        "This overview should provide a solid foundation for further exploration of antenna theory and design, particularly in how simple structures interact with their environment to create complex system behaviors."
      ],
      "metadata": {
        "id": "O7w_jW7voJ7t"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "## References\n",
        "\n",
        "- [Balanis Antenna Theory]((https://www.wiley.com/en-us/Antenna+Theory%3A+Analysis+and+Design%2C+4th+Edition-p-9781118642061)\n",
        "- https://en.wikipedia.org/wiki/Monopole_antenna\n",
        "- https://www.antenna-theory.com/antennas/monopole.php\n",
        "- https://www.mathworks.com/help/antenna/monopole-antennas.html"
      ],
      "metadata": {
        "id": "nw5W04l0qrvy"
      }
    }
  ]
}