eee302_352_graphing.ipynb

eee302_352_graphing.ipynb

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      "source": [
        "* **Carrier Lifetime vs. Doping Concentration Curve:** Shows the relationship between carrier lifetime and doping concentration."
      ],
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      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "from ipywidgets import interact, FloatSlider\n",
        "\n",
        "# Define the function to calculate carrier lifetime\n",
        "def calculate_carrier_lifetime(Nd, Tmin, Nref, variable_value, variable):\n",
        "    # Here, you can define how the variable affects the carrier lifetime\n",
        "    if variable == 'Temperature':\n",
        "        # Example: carrier lifetime decreases with increasing temperature\n",
        "        temperature_effect = 1 / (1 + 0.01 * Nd * variable_value)\n",
        "        return Tmin / (1 + Nd / Nref) * temperature_effect\n",
        "    elif variable == 'External Bias':\n",
        "        # Example: carrier lifetime increases with increasing external bias\n",
        "        bias_effect = 1 + 0.001 * Nd * variable_value\n",
        "        return Tmin / (1 + Nd / Nref) * bias_effect\n",
        "    else:\n",
        "        return Tmin / (1 + Nd / Nref)\n",
        "\n",
        "# Define the function to update the plot\n",
        "def update_plot(variable_value, variable):\n",
        "    # Generate doping concentration data\n",
        "    Nd = np.logspace(15, 20, 100)\n",
        "\n",
        "    # Calculate carrier lifetime using the function\n",
        "    tau = calculate_carrier_lifetime(Nd, Tmin=1e-8, Nref=1e17, variable_value=variable_value, variable=variable)\n",
        "\n",
        "    # Plot\n",
        "    plt.figure(figsize=(8, 6))\n",
        "    plt.plot(Nd, tau)\n",
        "    plt.xscale('log')\n",
        "    plt.yscale('log')\n",
        "    plt.xlabel('Doping Concentration (cm$^{-3}$)')\n",
        "    plt.ylabel('Carrier Lifetime (s)')\n",
        "    plt.title('Carrier Lifetime vs. Doping Concentration')\n",
        "    plt.grid(True)\n",
        "    plt.show()\n",
        "\n",
        "# Define the slider for varying the parameter\n",
        "variable_selector = FloatSlider(min=0, max=1, step=0.1, value=0.5, description='Parameter')\n",
        "\n",
        "# Create the interactive plot\n",
        "interact(update_plot, variable_value=variable_selector, variable=['Temperature', 'External Bias']);\n"
      ],
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              "interactive(children=(FloatSlider(value=0.5, description='Parameter', max=1.0), Dropdown(description='variable…"
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    {
      "cell_type": "markdown",
      "source": [
        "* **Breakdown Voltage vs. Doping Concentration Curve:** Shows the relationship between breakdown voltage and doping concentration."
      ],
      "metadata": {
        "id": "XM2NTrVy1XJX"
      },
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      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "from ipywidgets import interact, Dropdown, FloatSlider\n",
        "\n",
        "# Function to calculate breakdown voltage\n",
        "def breakdown_voltage(Na_Nb_ratio, Vbro, k):\n",
        "    return Vbro + k * (Na_Nb_ratio) ** (1/3)\n",
        "\n",
        "# Function to update plot\n",
        "def update_plot(Na_Nb_ratio=1, Vbro=1, k=1):\n",
        "    Na_Nb_ratios = np.linspace(0.1, 10, 100)\n",
        "    voltages = breakdown_voltage(Na_Nb_ratios, Vbro, k)\n",
        "\n",
        "    plt.figure(figsize=(8, 6))\n",
        "    plt.plot(Na_Nb_ratios, voltages, label='Breakdown Voltage')\n",
        "    plt.xlabel('Na/Nb Ratio')\n",
        "    plt.ylabel('Breakdown Voltage (V)')\n",
        "    plt.title('Breakdown Voltage vs. Na/Nb Ratio')\n",
        "    plt.legend()\n",
        "    plt.grid(True)\n",
        "    plt.show()\n",
        "\n",
        "# Define dropdown/slider ranges\n",
        "Na_Nb_ratio_dropdown = Dropdown(options=np.arange(0.1, 10, 0.1), description='Na/Nb Ratio:', continuous_update=False)\n",
        "Vbro_slider = FloatSlider(min=0, max=10, step=0.1, value=1, description='Vbro:')\n",
        "k_slider = FloatSlider(min=0, max=10, step=0.1, value=1, description='k:')\n",
        "\n",
        "# Create interactive plot\n",
        "interact(update_plot, Na_Nb_ratio=Na_Nb_ratio_dropdown, Vbro=Vbro_slider, k=k_slider)\n"
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              "interactive(children=(Dropdown(description='Na/Nb Ratio:', options=(0.1, 0.2, 0.30000000000000004, 0.4, 0.5, 0…"
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              "<function __main__.update_plot(Na_Nb_ratio=1, Vbro=1, k=1)>"
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              "         var(--colab-secondary-surface-color); padding: 8px 12px;\n",
              "         border-bottom: 1px solid var(--colab-border-color);\"><b>update_plot</b><br/>def update_plot(Na_Nb_ratio=1, Vbro=1, k=1)</pre><pre class=\"function-repr-contents function-repr-contents-collapsed\" style=\"\"><a class=\"filepath\" style=\"display:none\" href=\"#\">/content/&lt;ipython-input-15-3c08bd8b2f15&gt;</a>&lt;no docstring&gt;</pre></div>"
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          "metadata": {},
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    {
      "cell_type": "markdown",
      "source": [
        "* **Transconductance vs. Gate Voltage Curve:** Demonstrates the transconductance of the MOS device, indicating its amplification capability."
      ],
      "metadata": {
        "id": "Bn02QHAE21zB"
      },
      "id": "Bn02QHAE21zB"
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      "cell_type": "code",
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "from ipywidgets import interact, FloatSlider\n",
        "\n",
        "# Function to calculate transconductance\n",
        "def transconductance(V_gs, V_th):\n",
        "    mu_n = 600e-4  # Electron mobility in cm^2/V-s\n",
        "    C_ox = 1.5e-6  # Oxide capacitance per unit area in F/cm^2\n",
        "    W_L = 10       # Ratio of width to length\n",
        "\n",
        "    # Calculate transconductance\n",
        "    gm = np.sqrt(2 * mu_n * C_ox * W_L * (V_gs - V_th))\n",
        "\n",
        "    # Set transconductance to zero for V_gs < V_th\n",
        "    gm[V_gs < V_th] = 0\n",
        "\n",
        "    return gm\n",
        "\n",
        "# Function to update plot based on threshold voltage\n",
        "def update_plot(V_th):\n",
        "    V_gs = np.linspace(V_th, 5, 100)  # Ensure V_gs >= V_th\n",
        "    gm = transconductance(V_gs, V_th)\n",
        "    plt.figure(figsize=(8, 6))\n",
        "    plt.plot(V_gs, gm, 'b-', label=f'V_th = {V_th} V')\n",
        "    plt.xlabel('Gate Voltage (V_gs) (V)')\n",
        "    plt.ylabel('Transconductance (g_m)')\n",
        "    plt.title('Transconductance vs. Gate Voltage')\n",
        "    plt.grid(True)\n",
        "    plt.legend()\n",
        "    plt.show()\n",
        "\n",
        "# Initial threshold voltage\n",
        "initial_V_th = 1.0\n",
        "\n",
        "# Create interactive slider\n",
        "threshold_slider = FloatSlider(value=initial_V_th, min=0.0, max=2.0, step=0.1, description='Threshold Voltage (V)')\n",
        "\n",
        "# Display interactive plot\n",
        "interact(update_plot, V_th=threshold_slider)\n"
      ],
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              "interactive(children=(FloatSlider(value=1.0, description='Threshold Voltage (V)', max=2.0), Output()), _dom_cl…"
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              "<function __main__.update_plot(V_th)>"
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              "         var(--colab-secondary-surface-color); padding: 8px 12px;\n",
              "         border-bottom: 1px solid var(--colab-border-color);\"><b>update_plot</b><br/>def update_plot(V_th)</pre><pre class=\"function-repr-contents function-repr-contents-collapsed\" style=\"\"><a class=\"filepath\" style=\"display:none\" href=\"#\">/content/&lt;ipython-input-17-987d3bdec536&gt;</a>&lt;no docstring&gt;</pre></div>"
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    {
      "cell_type": "markdown",
      "source": [
        "* **Channel Length Modulation Curve:** Illustrates how the drain current varies with drain voltage due to channel length modulation."
      ],
      "metadata": {
        "id": "QrZE6T123ubk"
      },
      "id": "QrZE6T123ubk"
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    {
      "cell_type": "code",
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "from matplotlib.animation import FuncAnimation\n",
        "from ipywidgets import interact, FloatSlider\n",
        "\n",
        "# Constants\n",
        "mu_n = 1000  # Electron mobility (cm^2/Vs)\n",
        "C_ox = 1e-6  # Gate oxide capacitance per unit area (F/cm^2)\n",
        "W = 10e-4    # Width of the channel (cm)\n",
        "L = 1e-4     # Effective length of the channel (cm)\n",
        "V_T = 0.7    # Threshold voltage (V)\n",
        "lambda_ = 0.1  # Channel length modulation coefficient\n",
        "\n",
        "# Function to calculate drain current\n",
        "def calculate_drain_current(V_GS, V_DS):\n",
        "    return 0.5 * mu_n * C_ox * W / L * (V_GS - V_T)**2 * (1 + lambda_ * V_DS)\n",
        "\n",
        "# Function to update the plot\n",
        "def update_plot(V_GS):\n",
        "    plt.cla()\n",
        "    V_DS = np.linspace(0, 5, 100)\n",
        "    I_D = calculate_drain_current(V_GS, V_DS)\n",
        "    plt.plot(V_DS, I_D, label=f'V_GS = {V_GS} V')\n",
        "    plt.xlabel('Drain-to-Source Voltage (V)')\n",
        "    plt.ylabel('Drain Current (A)')\n",
        "    plt.title('Channel Length Modulation Curve')\n",
        "    plt.legend()\n",
        "    plt.grid(True)\n",
        "\n",
        "# Create the interactive plot\n",
        "interact(update_plot, V_GS=FloatSlider(min=0.5, max=2.5, step=0.1, value=1.0))\n"
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              "<function __main__.update_plot(V_GS)>"
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              "         var(--colab-secondary-surface-color); padding: 8px 12px;\n",
              "         border-bottom: 1px solid var(--colab-border-color);\"><b>update_plot</b><br/>def update_plot(V_GS)</pre><pre class=\"function-repr-contents function-repr-contents-collapsed\" style=\"\"><a class=\"filepath\" style=\"display:none\" href=\"#\">/content/&lt;ipython-input-18-d849a24d5684&gt;</a>&lt;no docstring&gt;</pre></div>"
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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "* **Base Width vs. Collector Current Curve:** Demonstrates how the base width changes with collector current."
      ],
      "metadata": {
        "id": "zejCCtYm4TYQ"
      },
      "id": "zejCCtYm4TYQ"
    },
    {
      "cell_type": "code",
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "from matplotlib.animation import FuncAnimation\n",
        "import ipywidgets as widgets\n",
        "from IPython.display import display\n",
        "\n",
        "# Constants and initial parameters\n",
        "Is = 1e-15  # Saturation current\n",
        "Vt = 25e-3  # Thermal voltage\n",
        "Va = 100    # Early voltage\n",
        "alpha_R = 0.99  # Base transport factor\n",
        "Wb0 = 0.1   # Initial base width\n",
        "Vcb = 1     # Initial reverse bias voltage\n",
        "beta = 100  # Collector current gain\n",
        "alpha_F = 0.99  # Emitter efficiency\n",
        "gamma = 0.99    # Emitter current gain\n",
        "\n",
        "# Function to calculate collector current using Ebers-Moll model\n",
        "def calculate_ic(Vbe, Wb):\n",
        "    return Is * (np.exp(Vbe/Vt) - 1) - alpha_R * (Wb/Wb0) * Is * np.sqrt(Vcb/Va)\n",
        "\n",
        "# Function to update the plot\n",
        "def update_plot(Vcb=1):\n",
        "    fig, ax = plt.subplots()\n",
        "    ax.set_xlabel('Base Width (Wb)')\n",
        "    ax.set_ylabel('Collector Current (Ic)')\n",
        "    ax.grid(True)\n",
        "\n",
        "    Vbe_range = np.linspace(0.6, 0.8, 100)\n",
        "    Wb_range = np.linspace(0.05, 0.2, 100)\n",
        "\n",
        "    lines, = ax.plot(Wb_range, calculate_ic(Vbe_range[0], Wb_range), label=f'Vcb={Vcb}')\n",
        "\n",
        "    def animate(i):\n",
        "        lines.set_ydata(calculate_ic(Vbe_range[i], Wb_range))\n",
        "        lines.set_label(f'Vcb={Vcb}')\n",
        "        ax.legend()\n",
        "\n",
        "    ani = FuncAnimation(fig, animate, frames=len(Vbe_range), interval=100)\n",
        "    return ani  # Return the animation object\n",
        "\n",
        "# Interactive widgets\n",
        "Vcb_slider = widgets.FloatSlider(value=1, min=0.1, max=10.0, step=0.1, description='Vcb')\n",
        "display(widgets.interactive(update_plot, Vcb=Vcb_slider))"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 497,
          "referenced_widgets": [
            "771240b29a414b488ad7d68f8e54309d",
            "db87c3fa4c504e348fbf7c527639b6c3",
            "16860628dd5542538bf0f0f9f32ddd4a",
            "87e117ac57054d9d9e4f7b6f7854bf4a",
            "a6b6265feab94d42adf3d1c52b9925ce",
            "b11edf91bfc141579a6feccc2227fbea",
            "9710a7ef3adf413d9927fe8b7c45dd4d"
          ]
        },
        "id": "N7mQ4KhB4XvL",
        "outputId": "2b4517c0-1541-4b92-a435-218f28a33ecd"
      },
      "id": "N7mQ4KhB4XvL",
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "interactive(children=(FloatSlider(value=1.0, description='Vcb', max=10.0, min=0.1), Output()), _dom_classes=('…"
            ],
            "application/vnd.jupyter.widget-view+json": {
              "version_major": 2,
              "version_minor": 0,
              "model_id": "771240b29a414b488ad7d68f8e54309d"
            }
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    }
  ],
  "metadata": {
    "kernelspec": {
      "display_name": "Python 3 (ipykernel)",
      "language": "python",
      "name": "python3"
    },
    "language_info": {
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      },
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      "mimetype": "text/x-python",
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      "pygments_lexer": "ipython3",
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    "colab": {
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      "include_colab_link": true
    },
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            "layout": "IPY_MODEL_a2e1378340a6497e8cbe6dbb680b2fa1",
            "msg_id": "",
            "outputs": [
              {
                "output_type": "display_data",
                "data": {
                  "text/plain": "<Figure size 800x600 with 1 Axes>",
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//nwcP34cDRs2LMlLLLHs7GzcvXv3rYWtPBX3nr+runXrAgCuXbtW5O/8u1BF/rJ8LlWx3cI+2/3790dISAimTZsGLy8vGBoaQqFQ4L333ivw51F5Ke/fCSKAhZio3HXt2hVr1qxBaGgo/Pz83rrsb7/9hszMTBw8eDDfXpHivnovq7yTaoyNjdGuXbty2YYq5H1dLZfLi81Z3ElbqlSzZk0IgoAaNWoo9+iW1oABA7B582YcO3YMt27dgiAIysMl3tzWp59+ik8//RSRkZHw8vLCDz/8gF9++eVdX0Y+u3fvRnp6uvIfHlZWVtDX18edO3cKLHv79m1IpdICe9IjIyPRunVr5eOUlBQ8f/4cnTt3fud8eTdpuXfvXr5t5OTk4OHDh/Dw8Hjr8zt16gSZTIZffvml2BPryvLai5P3mbt+/XqR/4grr89laT8bCQkJOHbsGObMmZPvRNK8PdhlXbeTk1OR72nefKKKxmOIicrZ9OnTYWBggJEjRyImJqbA/Pv37+PHH38E8P97Qv675yMxMREbN24sl2ze3t6oWbMmFi1ahJSUlALzK8tdy6ytrREQEIDVq1fj+fPnBeb/N2fetVMr4o5ZvXv3hkwmw5w5cwrsrRIEAXFxccWuo127djA3N8fOnTuxc+dO+Pj45PvqOi0tDRkZGfmeU7NmTRgZGSEzM1M57fnz57h9+zays7PL/HoiIiLwySefwMzMTHlFE5lMhg4dOuDAgQP5DnmIiYnB9u3b0bx58wJfya9ZsyZfjpUrVyInJwedOnUqc7Y8jRs3hoWFBdauXas8lhsAtm3bVqKv0B0dHTFq1CgcOXIEP/30U4H5CoUCP/zwA548eVKm116cDh06wMjICPPnzy8wrnm/Q+X1uTQwMCjV56KwP48AYOnSpYWuGyjZ565z5864cOECQkNDldNSU1OxZs0aODs7w83NrcQZiVSFe4iJylnNmjWxfft2DBgwAPXq1ct3p7qQkBAEBQVh2LBhAP75y1JbWxvdunXDmDFjkJKSgrVr18La2rrQIviupFIp1q1bh06dOqF+/foYPnw4HBwc8PTpU5w4cQLGxsb47bff3mkbe/bsUe75+a/AwMBS7V1bvnw5mjdvjgYNGmDUqFFwcXFBTEwMQkND8eTJE0RERAAAvLy8IJPJsGDBAiQmJkJHRwdt2rSBtbX1O72OwtSsWRPffvstZs6cqbz0l5GREaKiorBv3z6MHj0aU6dOfes65HI5evfujV9//RWpqalYtGhRvvl3795F27Zt0b9/f7i5uUFLSwv79u1DTEwM3n//feVyM2fOxObNmwu9U1hhgoODkZGRgdzcXMTFxeHs2bM4ePAgTExMsG/fvnzHJ3/77bc4evQomjdvjo8++ghaWlpYvXo1MjMzsXDhwgLrzsrKUma+c+cOVqxYgebNm6N79+7F5iqOtrY2Zs+ejYkTJ6JNmzbo378/Hj58iE2bNqFmzZol2lP5ww8/4P79+5g0aRL27t2Lrl27wszMDNHR0QgKCsLt27eV721pX3txjI2NsWTJEowcORJNmjTBoEGDYGZmhoiICKSlpWHz5s3l9rn09vbG33//jcWLF8Pe3h41atQo9Fje/2Zt2bIlFi5ciOzsbDg4OODIkSOIiooqdN0A8Pnnn+P999+HXC5Ht27dCr25x4wZM7Bjxw506tQJkyZNgrm5ufJ3d8+ePeV+F02iQolwZQsijXT37l1h1KhRgrOzs6CtrS0YGRkJzZo1E3766ad8lxI7ePCg4OHhIejq6grOzs7CggULhA0bNhS4pFHejTne9LbLahV1Y47Lly8LvXv3FiwsLAQdHR3ByclJ6N+/v3Ds2DHlMnmXZnr16lWJXm/etor6ybvkEkp42TVB+Odi/kOHDhVsbW0FuVwuODg4CF27dhV2796db7m1a9cKLi4ugkwmK9GNOd7cVt4ltC5evJhvelHvwZ49e4TmzZsLBgYGgoGBgVC3bl1h/Pjxwp07d0r0Xh09elQAIEgkEuHx48f55sXGxgrjx48X6tatKxgYGAgmJiaCr6+vsGvXrnzL5d3UpLibdbw5LnK5XLCyshJatmwpzJ07t9CbSAjCPzen6Nixo2BoaCjo6+sLrVu3FkJCQvIt8+aNOczMzARDQ0Nh8ODBQlxcXL5lSzoWUVFRAgBh48aN+aYvW7ZMcHJyEnR0dAQfHx/h7Nmzgre3t/Dee++99fXnycnJEdatWye0aNFCMDExEeRyueDk5CQMHz68wCXZSvPa3/ydKeozd/DgQcHf31/Q09MTjI2NBR8fH2HHjh35lnmXz2Venv/+Pty+fVto2bKloKenV+iNOQr7bD958kTo1auXYGpqKpiYmAj9+vUTnj17VuBzKwiC8M033wgODg6CVCot8Y05TE1NBV1dXcHHx6fIG3OU9HeC6F1IBIFHpRMR0bvbtGkThg8fjosXL6Jx48YVum2FQgErKyv07t0ba9eurdBtE5H64/cSRESkVjIyMgoc17plyxbEx8cjICBAnFBEpNZ4DDEREamVc+fOYfLkyejXrx8sLCwQHh6O9evXw93dHf369RM7HhGpIRZiIiJSK87OznB0dMSyZcsQHx8Pc3NzDB06FN99912+O5oREZUUjyEmIiIiIo3GY4iJiIiISKOxEBMRERGRRuMxxGWkUCjw7NkzGBkZVeitYomIiIioZARBQHJyMuzt7d960xcW4jJ69uxZqe9hT0REREQV7/Hjx6hWrVqR81mIy8jIyAjAP29wae9lXxbZ2dk4cuQIOnToALlcXu7bI9XjGKo/jqF64/ipP46h+qvoMUxKSoKjo6OytxWFhbiM8g6TMDY2rrBCrK+vD2NjY/4hoKY4huqPY6jeOH7qj2Oo/sQaw+IOb+VJdURERESk0ViIiYiIiEijsRATERERkUZjISYiIiIijcZCTEREREQajYWYiIiIiDQaCzERERERaTQWYiIiIiLSaCzERERERKTRWIiJiIiISKOxEBMRERGRRmMhJiIiIiKNxkJMRERERBqNhZiIiIiINBoLMRERERFpNBZiIiIiItJoLMRqYk1wFI49lSA5I0fsKERERERVCguxGkhMy8aKkw9wMFqGgB9OY9FfdxCbkil2LCIiIqIqgYVYDejryPBV17qw0ROQlJGDn0/cQ7PvjmPWget4HJ8mdjwiIiIitaYldgAqnlwmRe+GDtB+FgHtGt5YE/wQEU8SsTn0EX45H40envYYG1ATtW2MxI5KREREpHZYiNWIVAJ0cLNBZw8HhN6Pw4qT93HmXiz2Xn6KvZefol09G3zUuiYaVTcTOyoRERGR2mAhVkMSiQT+tSzhX8sSV5+8xsqT93H4xgv8fSsGf9+KQVMXc4wLqIWWrpaQSCRixyUiIiKq1FiI1ZxHNVOs/MAb91+lYPWp+9h3+SnOPYjHuQcX4O5gjHGtauE9d1vIpCzGRERERIXhSXVVRE0rQyzs64nT01vjw+Y1oCeX4frTJIzfHo52i0/h1wvRyMzJFTsmERERUaXDQlzF2Jno4cuubgiZ0QYft3WFiZ4cUbGpmLH3GlotPIl1wQ+QmslrGRMRERHlYSGuoswMtDG5fW2EzGiDL7rUg42xDl4kZeDbQ7fQbMFxLDl6FwmpWWLHJCIiIhIdC3EVZ6CjhZEtXHB6emt817sBalga4HVaNn48FolmC47jm99v4nliutgxiYiIiETDQqwhdLRkeN+nOv6e0go/D2oINztjpGXlYv2ZKLRceAKf7b6KqNhUsWMSERERVTheZULDyKQSdPWwR5cGdjh19xVWnLyPC1Hx2HnpMYLCHqNTAzt8FFAT9e1NxI5KREREVCFYiDWURCJBQB1rBNSxRtijeKw4cR/Hbr/EoavPcejqcwTUscJHAbXgU8Nc7KhERERE5YqFmODtZI71w8xx63kSVp68j9+vPsPJO69w8s4rNHYyw/jWtRBQx4o3+SAiIqIqiccQk1I9O2MsG9gQJ6YGYJBvdWjLpLj0KAHDN11E52Vn8FvEM+QqBLFjEhEREakUCzEV4GRhgHm9GiD4s9YY3dIF+toy3HqehIk7LqPtDyd5kw8iIiKqUliIqUg2xrr4X+d6CJnRBpPb1YapvhwP49KUN/lYfyYKaVm8yQcRERGpNxZiKpapvjY+bueKs5/9c5MPW2NdvEjKwDe/30Sz745j2bFIJKZlix2TiIiIqExYiKnE8m7ycWp6AL7r3QBOFvpISMvG4qN34f/dMcz/4xZeJmeIHZOIiIioVFiIqdTybvJxbEorLBvYEHVtjZCalYvVpx+g+YIT+HL/dTyOTxM7JhEREVGJsBBTmWnJpOjuaY8/P26BdUMbo2F1U2TlKLD13CMELDqJKbuu4N7LZLFjEhEREb0Vr0NM70wikaCdmw3a1rPGuQfxWHHyHoIjY7E3/Cn2XX6Kjm62GN+6FhpU493viIiIqPJhISaVkUgk8KtpAb+aFoh4/BorTt7DXzdicPjGCxy+8QIta1thfEBN+LpYiB2ViIiISImFmMqFp6MpVg9pjMiYZKw8eR8HIp7h9N1XOH33FZo4m+Gj1rUQUJt3vyMiIiLx8RhiKleuNkZYPMALJz4NwOB/73538WEChm+8iK4/ncEf155DwbvfERERkYhYiKlCVLfQx9x/7343qkUN6GvLcONZEj7aFo72S05hT9gTZOcqxI5JREREGoiFmCqUjbEuPu/ihrOftcGktq4w1tXC/Vep+DQoAq0XncTWc4+Qkc3bQhMREVHFYSEmUZgZaGNK+9o4O6MNPnuvLiwNtfEkIR1f7r+OlgtPYF3wA94WmoiIiCoECzGJykhXjnEBNRE8vQ1md3ODnYkuXiZn4ttDt9Dsu+P46VgkEtN5W2giIiIqPyzEVCnoacswrFkNnJrWGgv6NIDzv7eF/uHoXTT/7ji+/+s24lIyxY5JREREVRALMVUq2lpSDGhSHX9PaYUf3/dCbRtDJGfmYPmJ+2i+4AS++f0mYpIyxI5JREREVQgLMVVKWjIpeng54PDHLbF6iDc8qpkgPTsX689EocWCE/h83zU8jk8TOyYRERFVASzEVKlJpRJ0rG+LA+ObYfMIHzRxNkNWrgLbzkcjYNFJTA2KwINXKWLHJCIiIjXGO9WRWpBIJGhV2wqtalvh/IM4/HziHoIjY7E77An2hj9BFw97TGhdC3VsjcSOSkRERGqGhZjUjq+LBXxdLHA5OgHLT9zD37de4reIZ/gt4hk61rfBhNauaFDNROyYREREpCZ4yASprYbVzbAusAkOTWqOzg1sIZEAf92IQbefz2D4xgsIe5QgdkQiIiJSA9xDTGqvvr0JVgz2RmRMMpafuIeDEc9w4s4rnLjzCs1qWWBiG1c0dbEQOyYRERFVUtxDTFWGq40Rlr7fEMc/DUD/xtWgJZXg7L04vL/mHPqvCkVw5CsIgiB2TCIiIqpkWIipynG2NMDCvp44MTUAHzStDm2ZFBcexmPI+gvotSIEJ26/ZDEmIiIiJRZiqrIczfXxbc8GOD29NYY3c4aOlhRXHr/G8E0X0f3ns/jrxgsoFCzGREREmo6FmKo8WxNdzOpWH8Gftcboli7Qk8tw7WkixmwNQ+dlwTh09TmLMRERkQZjISaNYW2ki/91roczn7XGRwE1YaijhdsvkjF+ezg6Lj2NgxHPkMtiTEREpHFYiEnjWBjqYPp7dXHms9aY1NYVRrpaiHyZgkk7LqP9klPYd/kJcnIVYsckIiKiCsJCTBrLVF8bU9rXxpnP2uDT9rVhoifHg1epmLwzAu0Wn0LQpccsxkRERBqAhZg0nomeHBPbuuLMZ60x/b06MNOX42FcGqbtvoo2P5zCrouPkc1iTEREVGWxEBP9y0hXjo8CauHMZ20ws1NdWBhoIzo+DdP3XEWbH07i1wvRyMphMSYiIqpqWIiJ3mCgo4UxrWoi+LPW+LxzPVgaauNxfDpm7L2G1otOYgeLMRERUZXCQkxUBH1tLYxq6YLg6W3wRZd6sDLSwdPX6ZjJYkxERFSlsBATFUNPW4aRLVwQPL01vurqVqAYbz/PYkxERKTOWIiJSkhXLsOI5jUKFOP/7fv/PcY8+Y6IiEj9sBATlVJRxThvj/GvLMZERERqhYWYqIz+W4y/7OoGS0MdPEn4/5Pvdl5kMSYiIlIHLMRE70hXLsOH/xbjL7rUUxbjz/ZcQ9sfTmF3GO98R0REVJmxEBOpyH9Pvsu7XFt0fBqmBkWg/ZLTOBDxHApB7JRERET0Ji2xAxBVNXraMoxq6YLBTatja+gjrDp1H1GxqZi6+xps9GSA43P0aOgIqVQidlQiIiIC9xATlRt97bwbfLTBtI51YKKnhZh0CSYHXUOnH4Nx+PpzCAJ3GRMREYmNhZionBnqaGF861o4MaUFOlXLhZGuFu7EJGPsL+Ho+tMZ/H0zhsWYiIhIRCzERBXESFeO9xwFnJjSAhPb1IKBtgw3niVh5JZL6LkiBKfvvmIxJiIiEgELMVEFM9GT49MOdRD8WRuMaeUCXbkUEY9fY+iGCxiw+hwuRMWLHZGIiEijsBATicTcQBszO9VD8PQ2GN7MGdpaUlx4GI/+q0MxZP15RDx+LXZEIiIijcBCTCQyKyMdzOpWH6emBWCwb3VoSSUIjoxFj+VnMWrLJdx+kSR2RCIioiqNhZiokrAz0cPcXg1w/NMA9GlUDVIJcPRmDDr9GIxJOy4jKjZV7IhERERVEgsxUSVT3UIfP/T3xJHJrdDFww6CAByMeIZ2i09hxp6rePY6XeyIREREVUqVL8SPHz9GQEAA3Nzc4OHhgaCgoBLNIxJbLWtDLB/UCL9PbI7WdayQqxDw68XHCPj+JL7+7SZiUzLFjkhERFQlVPlCrKWlhaVLl+LmzZs4cuQIPvnkE6SmphY7j6iycHcwwcbhPtg91g8+NcyRlavAhrNRaLXwBBYfvYvkjGyxIxIREam1Kl+I7ezs4OXlBQCwtbWFpaUl4uPji51HVNk0djbHztFNsWWEDxo4mCA1KxfLjkWi5cITWBf8ABnZuWJHJCIiUkuiF+LTp0+jW7dusLe3h0Qiwf79+wsss3z5cjg7O0NXVxe+vr64cOFCmbYVFhaG3NxcODo6lmoeUWUhkUjQsrYVDk5ohhWDG8HFygAJadn49tAttF50EjsvRiMnVyF2TCIiIrUieiFOTU2Fp6cnli9fXuj8nTt3YsqUKZg1axbCw8Ph6emJjh074uXLl8plvLy84O7uXuDn2bNnymXi4+MxdOhQrFmzpsA23jaPqDKSSCTo3MAORz5piQV9GsDORBfPEzPw2Z5r6Lj0NA5ff8673hEREZWQltgBOnXqhE6dOhU5f/HixRg1ahSGDx8OAFi1ahUOHTqEDRs2YMaMGQCAK1euvHUbmZmZ6NmzJ2bMmAF/f/8Sz3tzuczM/z+JKSnpn2vDZmdnIzu7/I/hzNtGRWyLykd5jWFvLzt0qW+NbRceY+WpKNx/lYqxv4TDs5oJpnVwhW8Nc5VuT5Pxc6jeOH7qj2Oo/ip6DEu6HYlQiXYjSSQS7Nu3Dz179gQAZGVlQV9fH7t371ZOA4DAwEC8fv0aBw4cKHadgiBg0KBBqFOnDmbPnl3ieW+aPXs25syZU2D69u3boa+vX2wOooqQngMcfybFyecSZCkkAIC6Jgp0c1KgmoHI4YiIiCpYWloaBg0ahMTERBgbGxe5XKUuxM+ePYODgwNCQkLg5+enXG769Ok4deoUzp8/X+w6z5w5g5YtW8LDw0M5bevWrWjQoMFb572psD3Ejo6OiI2NfesbrCrZ2dk4evQo2rdvD7lcXu7bI9WryDF8lZyJ5ScfYOelJ8hRCJBIgO4edvikbS1UM9Mr121XZfwcqjeOn/rjGKq/ih7DpKQkWFpaFluIRT9korw1b94cCkXhJxm9bd6bdHR0oKOjU2C6XC6v0A9lRW+PVK8ixtDeXI65vT0wulVNLDpyF79FPMOBiOf483oMhvo5YXzrWjAz0C7XDFUZP4fqjeOn/jiG6q+ixrCk2xD9pLq3sbS0hEwmQ0xMTL7pMTExsLW1FSkVkfpwsjDATwMb4uCEZvCvaYGsXAXWnYlCy+9PYMXJe7xUGxERESp5IdbW1oa3tzeOHTumnKZQKHDs2LF8h1AQ0dt5VDPFtpG+2DS8CeraGiE5IwcLD99B60UnsTvsCXIVlebIKSIiogon+iETKSkpuHfvnvJxVFQUrly5AnNzc1SvXh1TpkxBYGAgGjduDB8fHyxduhSpqanKq04QUclIJBIE1LFGS1cr7L/yFD8cuYunr9MxNSgC689EYWanumhZ20rsmERERBVO9EJ86dIltG7dWvl4ypQpAP65ksSmTZswYMAAvHr1Cl999RVevHgBLy8vHD58GDY2NmJFJlJrUqkEvRtVQ+cGdtgU8hDLT9zDredJGLrhAlq4WmJmp3pwsy//E0WJiIgqC9ELcUBAQLE3EJgwYQImTJhQQYmINIOuXIaxrWpiQGNH/HT8Hraee4jgyFicuReMvo2qYWrHOrAx1hU7JhERUbmr1McQE1H5MzPQxlfd3PD3lFbo4mEHQQCCwp4g4PuTWHL0LtKycsSOSEREVK5YiIkIwD9XpFg+qBH2jPNHo+qmSM/OxY/HIhHw/UnsvBjNE++IiKjKYiEmony8ncywZ5w/lg9qBEdzPbxMzsRne66h609nEHIvVux4REREKsdCTEQFSCQSdPGww99TWuGLLvVgpKuFW8+TMGjdeYzcfAkPXqWIHZGIiEhlWIiJqEg6WjKMbOGCU9NaI9DPCTKpBH/fikGHJafx9W83kZiWLXZEIiKid8ZCTETFMjfQxpwe7vjrkxZoXccKOQoBG85GodWiE9gS+hA5uSW7BToREVFlxEJMRCVWy9oIG4f7YMsIH9S2McTrtGx8deAGOi8LxplIHl9MRETqiYWYiEqtZW0r/DGpBb7pUR+m+nLcjUnBB+vPY9SWS3gYmyp2PCIiolJhISaiMtGSSTHEzxknpwZgmL8zZFIJjt785/ji+X/eQkomr19MRETqgYWYiN6Jqb42Znevj8Mft0DL2lbIylVg9akHaL3oJPaGP4GC1y8mIqJKjoWYiFTC1cYIm4c3wfrAxnC20Mer5ExM2RWBvqtCcO1JotjxiIiIisRCTEQqI5FI0LaeDf6a3BKfvVcX+toyhEe/RvflZzBjz1XEpWSKHZGIiKgAFmIiUjkdLRnGBdTEiakB6NXQAYIA/HrxMVovOoktoQ95G2giIqpUWIiJqNzYGOtiyQAv7B7rh/r2xkjKyMFXB26g209ncOlhvNjxiIiIALAQE1EFaOxsjoMTmuObHvVhrKuFm8+T0HdVKKbsuoKXyRlixyMiIg3HQkxEFUImlWCInzNOTA3A+00cAQB7w5+i7aJT2Hg2ine7IyIi0bAQE1GFsjDUwXd9PLB/fDN4VDNBcmYO5vx2E91/Povw6ASx4xERkQZiISYiUXg5mmLfR83wbU935WEUvVeEYMaeq0hIzRI7HhERaRAWYiISjUwqwQdNnXB8agD6elcD8M/VKNr8cBI7L0bzph5ERFQhWIiJSHSWhjpY1M8TQWP9UNfWCAlp2fhszzX0Xx2KOy+SxY5HRERVHAsxEVUaTZzN8fvE5viiSz3oa8tw6VECuiwLxnd/3kZ6Vq7Y8YiIqIpiISaiSkVLJsXIFi74e0ordKxvgxyFgFWn7qP9klM4fjtG7HhERFQFsRATUaVkb6qH1UMaY93QxnAw1cOThHSM2HQJH20Lw8skXruYiIhUh4WYiCq1dm42ODqlJca0dIFMKsEf116g7eJT+OXcI550R0REKsFCTESVnr62FmZ2roffJjSHp6MpkjNy8MX+6+i3OhR3Y3jSHRERvRsWYiJSG272xtg7zh+zu7nBQFuGsH9PuvvhyB1kZPOkOyIiKhsWYiJSKzKpBMOa1cDRKa3Qrp41snMF/HT8HjovC8bFh/FixyMiIjXEQkxEasneVA9rhzbGysGNYGWkgwevUtFvVSi+3H8dyRnZYscjIiI1wkJMRGpLIpGgUwM7/D25FQY0dgQAbD33CB2WnOYl2oiIqMRYiIlI7Znoy7Ggrwe2j/RFdXN9PE/MwIhNlzBpx2XEp2aJHY+IiCo5FmIiqjL8a1nir09aYnRLF0glwMGIZ2i/+BR+v/oMgsBLtBERUeFYiImoStHTluF/neth30fNUMfGCHGpWZiw/TLG/hKGl8m8oQcRERXEQkxEVZKnoyl+m9gck9q6QksqwV83YtB+8WnsCXvCvcVERJQPCzERVVnaWlJMaV8bByc0R317YySmZ+PToAiM2HQRLxK5t5iIiP7BQkxEVZ6bvTH2j2+GaR3rQFsmxYk7r9BhySnsDefeYiIiYiEmIg0hl0kxvnUt/D6pOTyqmSApIwdTdkVg1JZLeJnEvcVERJqMhZiINEptGyPsHeePaR3rQC6T4O9bL9F+yWkcuPKUe4uJiDQUCzERaRytf/cW/zaxOdwd/jm2+ONfr2DcL+GIS8kUOx4REVUwFmIi0lh1bY2x76NmmNyuNrSkEhy+8QIdl57GkRsvxI5GREQViIWYiDSaXCbFx+1csX/8P9ctjk3JwuitYfh0VwSSMrLFjkdERBWAhZiICIC7gwkOTmyGMa1cIJEAe8Kf4L0lp3H2XqzY0YiIqJyxEBMR/UtHS4aZneohaIwfnCz08SwxA4PXncec324gIztX7HhERFROWIiJiN7Q2Nkcf0xqgQ+aVgcAbDz7EN1+OoMbz5JETkZEROWBhZiIqBAGOlr4tmcDbBzeBFZGOoh8mYJ+a87j6FMJchW8PBsRUVXCQkxE9Bat61jjr09aomN9G2TnCvg9WoYPNlzE4/g0saMREZGKsBATERXD3EAbqz7wxvxe9aEjFXDp0Wt0+jGYt34mIqoiWIiJiEpAIpGgbyMHfOaZC+/qpkjJ/OfWz5N+vYLEdF6ejYhInbEQExGVgoUu8MuIxpjSvjZkUgl+i3iGzj8G4/yDOLGjERFRGbEQExGVkpZMikltXRE01g/VzfXx9HU63l97Dt//dRvZuQqx4xERUSmxEBMRlVGj6mb44+MW6OtdDYIALD9xH31XheJRXKrY0YiIqBRYiImI3oGhjhYW9fPE8kGNYKyrhYjHr9Fl2Rnsv/xU7GhERFRCLMRERCrQxcMOf37SEk2czZCSmYNPdl7BlF1XkJKZI3Y0IiIqBgsxEZGKOJjqYceopviknSukEmBv+FN0XRaMq09eix2NiIjegoWYiEiFtGRSfNKuNn4d7Qd7E108jEtDn5UhWBf8AAre4Y6IqFJiISYiKgc+Nczx58ct0cndFtm5Ar49dAsfbr6I+NQssaMREdEbWIiJiMqJib4cKwY3wrc93aGtJcWJO6/Q6cfTOMdrFhMRVSosxERE5UgikeCDpk44ML4ZaloZICYpE4PWnsPSv+8il4dQEBFVCizEREQVoJ6dMX6b2Bx9vatBIQBL/47EoLXnEJOUIXY0IiKNx0JMRFRB9LX/uWbxkgGeMNCW4XxUPLosC0Zw5CuxoxERaTQWYiKiCtarYTUcnNgcdW2NEJuShaEbLmDxkTs8hIKISCQsxEREIqhpZYj945thoE91CAKw7Pg9DF53Di95CAURUYVjISYiEomuXIb5vRvgx/e9YKAtw7kH8ei8LBhn78WKHY2ISKOwEBMRiayHl0O+Qyg+WH8ey45F8kYeREQVhIWYiKgSyDuEYkBjRwgCsPjoXQzbxBt5EBFVBBZiIqJKQlcuw4K+Hvi+rwd05VKcvvsKXZYFIzw6QexoRERVGgsxEVEl06+xI/aPbwYXSwM8T8xA/1Wh2HAmCoLAQyiIiMoDCzERUSVU19YYByY0QxcPO+QoBHz9+01M2HEZKZk5YkcjIqpyWIiJiCopI105fh7YELO7uUFLKsGhq8/R4+czuPcyWexoRERVCgsxEVElJpFIMKxZDewc4wdbY13cf5WK7j+fxe9Xn4kdjYioymAhJiJSA95OZvh9UnP4uVggLSsXE7ZfxpzfbiA7VyF2NCIitcdCTESkJiwNdbD1Qx+MC6gJANh49iEGrjmHGN7djojonWiV9gmvX7/Gvn37EBwcjEePHiEtLQ1WVlZo2LAhOnbsCH9///LISUREALRkUnz2Xl00dDTFp0ERuPQoAV1/OoMVgxuhibO52PGIiNRSifcQP3v2DCNHjoSdnR2+/fZbpKenw8vLC23btkW1atVw4sQJtG/fHm5ubti5c2d5ZiYi0ngd6tvi4ITmqGNjhFfJmRi45hw2neWl2YiIyqLEe4gbNmyIwMBAhIWFwc3NrdBl0tPTsX//fixduhSPHz/G1KlTVRaUiIjyq2FpgH3j/fHZnmv4LeIZZv92ExFPEjGvVwPoacvEjkdEpDZKXIhv3rwJCwuLty6jp6eHgQMHYuDAgYiLi3vncERE9Hb62lpY9r4XPKuZYP6ft7Hv8lPcfpGM1R94o7qFvtjxiIjUQokPmSiuDL/r8kREVDYSiQQjW7jglw99YWmojVvPk9Dt5zMIjnwldjQiIrVQpqtMbN68GYcOHVI+nj59OkxNTeHv749Hjx6pLBwREZWcX00L/DaxOTwdTZGYno3ADRew6tR9HldMRFSMMhXiefPmQU9PDwAQGhqK5cuXY+HChbC0tMTkyZNVGpCIiErOzkQPu8Y0xYDGjlAIwHd/3saEHZeRlsVbPhMRFaXUl10DgMePH6NWrVoAgP3796NPnz4YPXo0mjVrhoCAAFXmIyKiUtLRkuG7Pg3gXs0Ecw7ewKGrz3H/ZQrWDGnM44qJiApRpj3EhoaGypPmjhw5gvbt2wMAdHV1kZ6errp0RERUJhKJBEOaOmHH6KawNNTB7RfJ6PbzGZy+y+OKiYjeVKZC3L59e4wcORIjR47E3bt30blzZwDAjRs34OzsrMp8RET0Dpo4m+P3ic3h9e9xxcM2XsDa0w94XDER0X+UqRAvX74cfn5+ePXqFfbs2aO8okRYWBgGDhyo0oBERPRubE10sXNMU/RvXA0KAZj7xy1M2RWBjOxcsaMREVUKZTqG2NTUFD///HOB6XPmzHnnQEREpHo6WjIs6OOB+vYm+Pr3m9h3+SnuvUzB6iHesDfVEzseEZGoSryHODo6ulQrfvr0aanDEBFR+ZFIJAj0d8bWD31gpi/HtaeJ6P7zGVx8GC92NCIiUZW4EDdp0gRjxozBxYsXi1wmMTERa9euhbu7O/bs2aOSgEREpFr+NS1xcEJz1LU1QmxKFgauOYcdF0q304OIqCop1a2b586di/bt20NXVxfe3t6wt7eHrq4uEhIScPPmTdy4cQONGjXCwoULlSfaERFR5eNoro+9H/ljWtBVHLr2HDP3XsPt50n4oqsb5LIynV5CRKS2SnXr5sWLF+P58+f4+eef4erqitjYWERGRgIABg8ejLCwMISGhrIMExGpAX1tLfw8qCGmdqgNANgc+giBGy4gITVL5GRERBWr1CfV6enpoW/fvujbt2955CEiogokkUgwoY0rXG2MMHnnFYTcj0OP5WexLrAxatsYiR2PiKhC8HsxIiJCx/q22PuRP6qZ6SE6Pg29lp/F3zdjxI5FRFQhWIiJiAgAUNfWGAcnNIdvDXOkZuVi1NZLWHnyPm/iQURVHgsxEREpmRto45eRvhjsWx2CACw4fBuf8iYeRFTFVflC/PjxYwQEBMDNzQ0eHh4ICgoqsExaWhqcnJwwdepUERISEVUucpkUc3s1wDc96kMmlWDv5acYuPYcXiZniB2NiKhcVPlCrKWlhaVLl+LmzZs4cuQIPvnkE6SmpuZbZu7cuWjatKlICYmIKqchfs7YPNwHxrpauBz9Gj1/PovrTxPFjkVEpHJlLsRbt25Fs2bNYG9vj0ePHgEAli5digMHDqgsnCrY2dnBy8sLAGBrawtLS0vEx///XZkiIyNx+/ZtdOrUSaSERESVV3NXS+wf3wwuVgZ4lpiBfqtCcfj6c7FjERGpVJkK8cqVKzFlyhR07twZr1+/Rm7uP8eWmZqaYunSpaVa1+nTp9GtWzfY29tDIpFg//79BZZZvnw5nJ2doaurC19fX1y4cKEssREWFobc3Fw4Ojoqp02dOhXz588v0/qIiDSBi5Uh9n3UDC1cLZGenYuxv4Rj+Yl7PNmOiKqMMhXin376CWvXrsXnn38OmUymnN64cWNcu3atVOtKTU2Fp6cnli9fXuj8nTt3YsqUKZg1axbCw8Ph6emJjh074uXLl8plvLy84O7uXuDn2bNnymXi4+MxdOhQrFmzRjntwIEDqF27NmrXrl2qzEREmsZET46Nw5pgmL8zAOD7v+5gCk+2I6IqotQ35gCAqKgoNGzYsMB0HR2dAsfnFqdTp05vPVxh8eLFGDVqFIYPHw4AWLVqFQ4dOoQNGzZgxowZAIArV668dRuZmZno2bMnZsyYAX9/f+X0c+fO4ddff0VQUBBSUlKQnZ0NY2NjfPXVV4WuIzMzU/k4KSkJAJCdnY3s7OwSv96yyttGRWyLygfHUP1xDIHPO9WGs4Uevjl0G/suP8WjuFSsGOgJC0MdsaMVi+On/jiG6q+ix7Ck25EIZfjOy83NDfPnz0ePHj1gZGSEiIgIuLi44KeffsLGjRsRHh5e6sDAP3dM2rdvH3r27AkAyMrKgr6+Pnbv3q2cBgCBgYF4/fp1iY5XFgQBgwYNQp06dTB79uwil9u0aROuX7+ORYsWFTp/9uzZmDNnToHp27dvh76+frE5iIiqkjuvJdh4V4r0XAnMdQSMqpMLewOxUxER5ZeWloZBgwYhMTERxsbGRS5Xpj3EU6ZMwfjx45GRkQFBEHDhwgXs2LED8+fPx7p168oc+k2xsbHIzc2FjY1Nvuk2Nja4fft2idZx9uxZ7Ny5Ex4eHsrjk7du3YoGDRqUKsvMmTMxZcoU5eOkpCQ4OjqiQ4cOb32DVSU7OxtHjx5F+/btIZfLy317pHocQ/XHMfx/nQH0eJWK0b9cxqP4NPx8WwdL+nugdR0rsaMVieOn/jiG6q+ixzDvG/3ilKkQjxw5Enp6evjiiy+Uzdve3h4//vgj3n///bKsstw0b94cCoWi2OWGDRv21vk6OjrQ0Sn4laBcLq/QD2VFb49Uj2Oo/jiG/6hjb4oDE5ph3C/hCH0Qh7HbLuPLrm4Y5u8MiUQidrwicfzUH8dQ/VXUGJZ0G2W+7NrgwYMRGRmJlJQUvHjxAk+ePMGHH35Y1tUVytLSEjKZDDExMfmmx8TEwNbWVqXbIiKi0jPV18bmET4Y0NgRCgGY89tNfHngOnJyi98RQURUWbzzjTn09fVhbW2tiiwFaGtrw9vbG8eOHVNOUygUOHbsGPz8/Mplm0REVDraWlJ816cBZnaqC4kE+OVcNIZvuoikDJ74RETqoUyFOC4uDuPHj4ebmxssLS1hbm6e76c0UlJScOXKFeWVIqKionDlyhVER0cD+Od45bVr12Lz5s24desWxo0bh9TUVOVVJ4iISHwSiQRjWtXEqg+8oSeXITgyFn1WhOBxfJrY0YiIilWmY4iHDBmCe/fu4cMPP4SNjc07HSt26dIltG7dWvk478S1wMBAbNq0CQMGDMCrV6/w1Vdf4cWLF/Dy8sLhw4cLnGhHRETi61jfFkFj/fDh5ouIfJmCnsvPYs3QxvB2MhM7GhFRkcpUiIODg3HmzBl4enq+c4CAgIBi73Y0YcIETJgw4Z23RURE5c/dwQQHxjfHh5sv4sazJAxcew4/9PNEN097saMRERWqTIdM1K1bF+np6arOQkREVYStiS52jfFDu3rWyMpRYOKOy7zdMxFVWmUqxCtWrMDnn3+OU6dOIS4uDklJSfl+iIiIDHS0sHpIY4xoVgPAP7d7nrb7KrJyeAUKIqpcynTIhKmpKZKSktCmTZt80wVBgEQiQW4u721PRESATCrBV93cUMNSH7MO3sDusCd4kpCGVR94w1RfW+x4REQAyliIBw8eDLlcju3bt7/zSXVERFT1DfFzhqO5PiZsv4xzD+LRe2UINg5rAicL3u+ZiMRXpkJ8/fp1XL58GXXq1FF1HiIiqqIC6lhj9zg/jNh4EQ9epaLXihCs5RUoiKgSKNMxxI0bN8bjx49VnYWIiKq4urbG2De+GdwdjBGfmoWBa8/h0NXnYsciIg1Xpj3EEydOxMcff4xp06ahQYMGBe4T7eHhoZJwRERU9dgY/3MFikk7LuPvWy8xfns4ouPrYmwrFx6CR0SiKFMhHjBgAABgxIgRymkSiYQn1RERUYnoa/9zBYpvfr+JTSEPseDwbUTHp+LrHu6Qy8r05SURUZmVqRBHRUWpOgcREWkYmVSC2d3rw8lCH9/8fhM7LjzGk4R0rBjcCEa68uJXQESkImUqxE5OTqrOQUREGmp4sxpwNNPHxB2XERwZi36rQrFxeBPYmeiJHY2INESJC/HBgwfRqVMnyOVyHDx48K3Ldu/e/Z2DERGR5mjnZoNdY/wwYvNF3H6RjJ7Lz2LDsCaob28idjQi0gAlLsQ9e/bEixcvYG1tjZ49exa5HI8hJiKismhQzQT7PvLH8I0XEfkyBf1XhWL54EYIqGMtdjQiquJKfOaCQqGAtbW18v+L+mEZJiKisqpmpo/d4/zh52KB1KxcfLj5ErafjxY7FhFVcWU6lXfLli3IzMwsMD0rKwtbtmx551BERKS5TPTk2DzCB70bOSBXIeB/+67h+79uQxAEsaMRURVVpkI8fPhwJCYmFpienJyM4cOHv3MoIiLSbNpaUvzQzxMft3UFACw/cR+f7LyCzBx+C0lEqlemQpx3veE3PXnyBCYmPAGCiIjenUQiweT2tbGwrwe0pBIcuPIMgRsuIDEtW+xoRFTFlOqyaw0bNoREIoFEIkHbtm2hpfX/T8/NzUVUVBTee+89lYckIiLN1b+xI+xMdDHul3CcexCPvqtCsHF4E1Qz0xc7GhFVEaUqxHlXl7hy5Qo6duwIQ0ND5TxtbW04OzujT58+Kg1IRETUwtUKQWP9lFeg6LUiBBuHNYG7A7+VJKJ3V6pCPGvWLACAs7MzBgwYAF1d3XIJRURE9KZ6dsbYN/6fy7LdfpGM/qtDsYKXZSMiFSjTMcSBgYHIyMjAunXrMHPmTMTHxwMAwsPD8fTpU5UGJCIiymNnooegsX5oXssSaf9elm3nRV6WjYjeTZkK8dWrV1G7dm0sWLAAixYtwuvXrwEAe/fuxcyZM1WZj4iIKB8jXTk2DGuivCzbZ3uuYfHRu7wsGxGVWZkK8eTJkzFs2DBERkbmO2yic+fOOH36tMrCERERFSbvsmwT29QCACw7Folpu68iO1chcjIiUkdlKsSXLl3CmDFjCkx3cHDAixcv3jkUERFRcSQSCT7tUAfzezeATCrB7rAnGLHpIpIzeFk2IiqdMhViHR0dJCUlFZh+9+5dWFlZvXMoIiKikhroUx3rhjaGnlyG4MhY9F99DjFJGWLHIiI1UqZC3L17d3z99dfIzv7nX+ESiQTR0dH47LPPeNk1IiKqcK3rWmPnmKawNNTGredJ6L0iBJExyWLHIiI1UaZC/MMPPyAlJQXW1tZIT09Hq1atUKtWLRgZGWHu3LmqzkhERFQsj2qm2DuuGWpYGuDp63T0WRmCC1HxYsciIjVQqusQ5zExMcHRo0dx9uxZREREICUlBY0aNUK7du1UnY+IiKjEqlvoY884f4zcfBHh0a/xwfrzWDrAC50b2IkdjYgqsRLvITY3N0dsbCwAYMSIEUhOTkazZs3w0UcfYfr06SzDRERUKZgbaGPbyKbo4GaDrBwFxm8Px/ozUWLHIqJKrMSFOCsrS3ki3ebNm5GRwRMWiIioctLTlmHlB94Y0tQJggB88/tNfHf4DhS8VDERFaLEh0z4+fmhZ8+e8Pb2hiAImDRpEvT09ApddsOGDSoLSEREVBYyqQRf96gPe1M9LDh8G+vPPkIjCyna5yggl4udjogqkxLvIf7ll1/QuXNnpKSkQCKRIDExEQkJCYX+EBERVQYSiQTjAmpiyQBPaEklCI+TYuSWMCTxWsVE9B8l3kNsY2OD7777DgBQo0YNbN26FRYWFuUWjIiISFV6NawGU10tjN16CeeiEtB/VSg2DfeBrYlu8U8moiqvTJddi4qKYhkmIiK10ryWBSa558LKUBu3XySj94qzuMtrFRMRSrGHeNmyZRg9ejR0dXWxbNmyty47adKkdw5GRESkatUMgF2jffHh1nA8eJWKvitDsC6wCXxqmIsdjYhEVOJCvGTJEgwePBi6urpYsmRJkctJJBIWYiIiqrSqmelhz1h/jNxyCWGPEvDB+vNY9r4X3nPntYqJNFWJC3FUVFSh/09ERKRuzAy0sW2kLybuuIyjN2Mwbls45nSvj6F+zmJHIyIRlOkY4qI8ePAAHTp0UOUqiYiIyoWuXIaVgxthkG91CALw1YEb+P6v2xAEXqyYSNOotBAnJyfj2LFjqlwlERFRudGSSTG3pzumtK8NAFh+4j6mBl1Fdq5C5GREVJFUWoiJiIjUjUQiwaS2rljQpwFkUgn2hD/ByM2XkJqZI3Y0IqogLMREREQABjSpjrVDvaErl+LU3VcYtPYc4lIyxY5FRBWAhZiIiOhfberaYMeopjDTlyPiSSL6rAxBdFya2LGIqJyV+CoTANCwYUNIJJIi56el8Q8NIiJSbw2rm2H3OH8MXX8BD+PS0HtlCDYNbwJ3BxOxoxFROSlVIe7Zs2c5xSAiIqo8aloZYu9H/hi28SJuPU/CgNWhWD2kMZq7WoodjYjKQakK8axZs8orBxERUaViY6yLnWOaYsyWMIQ+iMPwTRewqJ8neng5iB2NiFSMxxATEREVwVhXjk0jmqCLhx2ycwV8/OsVrAt+IHYsIlIxFmIiIqK30NGS4af3G2KYvzMA4NtDtzD/j1tQKHgDD6KqgoWYiIioGFKpBLO6uWH6e3UAAKtPP8DUoAjewIOoimAhJiIiKgGJRIKPAmrh+74ekEkl2Hv5KW/gQVRFlLoQZ2dno23btoiMjCyPPERERJVav8aOWDe0MfTkMt7Ag6iKKHUhlsvluHr1anlkISIiUgut61pj+yhf5Q08+q4KxeN4XoufSF2V6ZCJDz74AOvXr1d1FiIiIrWRdwMPB1M9RMWmos/KENx6niR2LCIqg1JdhzhPTk4ONmzYgL///hve3t4wMDDIN3/x4sUqCUdERFSZ1bQyxJ5x/gjccAF3YpLRf1Uo1gY2RlMXC7GjEVEplKkQX79+HY0aNQIA3L17N9+8t93amYiIqKqxNdHFrjF+GLXlEi48jMfQDRfw4wAvdGpgJ3Y0IiqhMhXiEydOqDoHERGR2jLRl2PLhz6YtOMyjtyMwUfbw/F1D3cMaeokdjQiKoF3uuzavXv38NdffyE9PR0AIAi8SDkREWkmXbkMKwY3wkCf6hAE4Mv917Hk6F3+3UikBspUiOPi4tC2bVvUrl0bnTt3xvPnzwEAH374IT799FOVBiQiIlIXWjIp5vVyx6Q2tQAAPx6LxBf7ryOXd7UjqtTKVIgnT54MuVyO6Oho6OvrK6cPGDAAhw8fVlk4IiIidSORSDClQx183aM+JBJg2/lojN8WjozsXLGjEVERylSIjxw5ggULFqBatWr5pru6uuLRo0cqCUZERKTOhvo54+eBjaAtk+LwjRcYtvECkjKyxY5FRIUoUyFOTU3Nt2c4T3x8PHR0dN45FBERUVXQxcMOm4Y3gaGOFs49iMeA1efwMjlD7FhE9IYyFeIWLVpgy5YtyscSiQQKhQILFy5E69atVRaOiIhI3fnXssSvo5vC0lAHt54noe/KUDyMTRU7FhH9R5kuu7Zw4UK0bdsWly5dQlZWFqZPn44bN24gPj4eZ8+eVXVGIiIitebuYII94/wwdMMFPIpLQ99VIdg03AfuDiZiRyMilHEPsbu7O+7evYvmzZujR48eSE1NRe/evXH58mXUrFlT1RmJiIjUnpOFAXaP9YebnTFiU7Lw/ppzCLkXK3YsIkIZ9xADgImJCT7//HNVZiEiIqrSrIx08OuYphi95RLOPYjHsI0XsfR9L3TmXe2IRFXiQnz16lW4u7tDKpXi6tWrb13Ww8PjnYMRERFVRca6cmwa7oPJO6/gz+svMH57OL7p4Y4PeFc7ItGUuBB7eXnhxYsXsLa2hpeXFyQSSaF335FIJMjN5bUWiYiIiqIrl+HnQY3w1YHr2HY+Gl/sv47YlEx83NYVEolE7HhEGqfEhTgqKgpWVlbK/yciIqKyk0kl+LanOywMdbDsWCSW/h2JuJQszO5eHzIpSzFRRSpxIXZy+uernOzsbMyZMwdffvklatSoUW7BiIiIqjqJRIIp7WvD0lAbsw7ewNZzjxCfloXF/T2hoyUTOx6Rxij1VSbkcjn27NlTHlmIiIg00lA/Zyx7vyHkMgkOXX2OEZsuIiUzR+xYRBqjTJdd69mzJ/bv36/iKERERJqrm6c9NgxrAn1tGc7ei8PANecQm5IpdiwijVCmy665urri66+/xtmzZ+Ht7Q0DA4N88ydNmqSScERERJqkhasVdoxqiuGbLuLa00T0XxWKzSN84GiuL3Y0oiqtTIV4/fr1MDU1RVhYGMLCwvLNk0gkLMRERERl5OloiqCxfhi6/gIexKai76oQbBnhizq2RmJHI6qySl2IBUHAyZMnYW1tDT09vfLIREREpNFqWhlizzh/DN1wHndjUtBvVQg2DGuCxs7mYkcjqpJKfQyxIAhwdXXFkydPyiMPERERAbA10cWuMX7wdjJDUkYOPlh/Hsdvx4gdi6hKKnUhlkqlcHV1RVxcXHnkISIion+Z6mvjlw990aauNTKyFRi1JQx7wrhDikjVynSVie+++w7Tpk3D9evXVZ2HiIiI/kNPW4bVQ7zRu6EDchUCPg2KwLrgB2LHIqpSynRS3dChQ5GWlgZPT09oa2sXOJY4Pj5eJeGIiIgIkMukWNTPE+YG2lh3JgrfHrqFuNQsTO9Yh7d6JlKBMhXipUuXqjgGERERvY1UKsHnXerBwlAHCw7fxsqT9xGfkoW5vdyhJSvTF75E9K8yFeLAwEBV5yAiIqJiSCQSjAuoCXMDOWbuvYadlx4jIS0LywY2hK6ct3omKqt3/idlRkYGkpKS8v0QERFR+RnQpDpWfuANbS0pjtyMQeCGC0jKyBY7FpHaKlMhTk1NxYQJE2BtbQ0DAwOYmZnl+yEiIqLy1bG+LbaM8IGRjhbOR8Xj/dXn8CqZt3omKosyFeLp06fj+PHjWLlyJXR0dLBu3TrMmTMH9vb22LJli6ozEhERUSGauljg1zFNYWmog5vPk9B3VQii49LEjkWkdspUiH/77TesWLECffr0gZaWFlq0aIEvvvgC8+bNw7Zt21SdkYiIiIpQ394Eu8f6wdFcD4/i0tBnVQhuPefhi0SlUaZCHB8fDxcXFwCAsbGx8jJrzZs3x+nTp1WXjoiIiIrlbGmAPWP9UdfWCK+SM9F/dSguPuQlUIlKqkyF2MXFBVFRUQCAunXrYteuXQD+2XNsamqqsnBERERUMtbGutg52g+NncyQnJGDD9bxVs9EJVWmQjx8+HBEREQAAGbMmIHly5dDV1cXkydPxrRp01QakIiIiErGRF+Orf/e6jkz559bPe8N562eiYpTpusQT548Wfn/7dq1w+3btxEWFoZatWrBw8NDZeGIiIiodPJu9fzZ7qvYe/kppuyKQEJaNj5sXkPsaESVVpkK8ZucnJzg5OSkilURERHRO8q71bOZgTbWn4nCN7/fREJqFj7tUJu3eiYqRKkOmTh+/Djc3NwKvflGYmIi6tevj+DgYJWFIyIiorKRSiX4oks9TOtYBwDw84l7+Hz/deQqBJGTEVU+pSrES5cuxahRo2BsbFxgnomJCcaMGYPFixerLBwRERGVnUQiwfjWtTCvVwNIJMD289GYuCMcmTm5YkcjqlRKVYgjIiLw3nvvFTm/Q4cOCAsLe+dQREREpDqDfKtj+aBG0JZJ8ce1Fxix6SJSMnPEjkVUaZSqEMfExEAulxc5X0tLC69evXrnUERERKRanRvYYePwJjDQluHsvTgMXnsO8alZYsciqhRKVYgdHBxw/fr1IudfvXoVdnZ27xxKlR4/foyAgAC4ubnBw8MDQUFB+eZHRUWhdevWcHNzQ4MGDZCamipSUiIiovLVrJYlto9qCjN9OSKeJKLfqhA8e50udiwi0ZWqEHfu3BlffvklMjIyCsxLT0/HrFmz0LVrV5WFUwUtLS0sXboUN2/exJEjR/DJJ5/kK73Dhg3D119/jZs3b+LUqVPQ0dERMS0REVH58nQ0RdBYf9iZ6OL+q1T0XRmCey9TxI5FJKpSFeIvvvgC8fHxqF27NhYuXIgDBw7gwIEDWLBgAerUqYP4+Hh8/vnn5ZW1TOzs7ODl5QUAsLW1haWlpfJW0zdu3IBcLkeLFi0AAObm5tDSUsmV6IiIiCqtWtaG2DPOHzWtDPAsMQP9VoUg4vFrsWMRiaZUhdjGxgYhISFwd3fHzJkz0atXL/Tq1Qv/+9//4O7ujjNnzsDGxqZUAU6fPo1u3brB3t4eEokE+/fvL7DM8uXL4ezsDF1dXfj6+uLChQul2kaesLAw5ObmwtHREQAQGRkJQ0NDdOvWDY0aNcK8efPKtF4iIiJ1Y2+qh6Cx/vCsZoKEtGwMWnsOZ+/Fih2LSBSl3h3q5OSEP/74AwkJCbh37x4EQYCrqyvMzMzKFCA1NRWenp4YMWIEevfuXWD+zp07MWXKFKxatQq+vr5YunQpOnbsiDt37sDa2hoA4OXlhZycgmfLHjlyBPb29gCA+Ph4DB06FGvXrlXOz8nJQXBwMK5cuQJra2u89957aNKkCdq3b1+m10JERKROzA20sW1UU4zdGoYz92IxfONF/Pi+Fzo1qFznAxGVtzIfH2BmZoYmTZq8c4BOnTqhU6dORc5fvHgxRo0aheHDhwMAVq1ahUOHDmHDhg2YMWMGAODKlStv3UZmZiZ69uyJGTNmwN/fXzndwcEBjRs3Vu4x7ty5M65cuVJoIc7MzERmZqbycd7NSbKzs5GdnV2yF/sO8rZREdui8sExVH8cQ/XG8SucjhRYNdgLU3dfw+EbMRi/PRxfd3fDgMbVxI5WAMdQ/VX0GJZ0OxJBECrNLWskEgn27duHnj17AgCysrKgr6+P3bt3K6cBQGBgIF6/fo0DBw4Uu05BEDBo0CDUqVMHs2fPzjcvJycHTZo0wfHjx2FiYoIePXpgzJgxhZ4YOHv2bMyZM6fA9O3bt0NfX79Ur5OIiKiyUQhA0AMpQl7+czRl1+q5aGcvgHd6JnWWlpaGQYMGITExsdAby+Wp1GeQxcbGIjc3t8BxyTY2Nrh9+3aJ1nH27Fns3LkTHh4eyuOTt27digYNGkBLSwvz5s1Dy5YtIQgCOnToUORVMmbOnIkpU6YoHyclJcHR0REdOnR46xusKtnZ2Th69Cjat2//1mtBU+XFMVR/HEP1xvErXhdBwJK/72Hl6Sj8Hi2DjaMTPutYG5JK0oo5huqvoscw7xv94lTqQqwKzZs3h0KhKHJ+cYds5NHR0Sn0kmxyubxCP5QVvT1SPY6h+uMYqjeO39t91tkNFka6+PbQLaw/+wiJGbn4rncDaMlKdR5+ueIYqr+KGsOSbqPy/HYXwtLSEjKZDDExMfmmx8TEwNbWVqRUREREVdvIFi5Y1M8TMqkEu8OeYOwv4cjIzhU7FlG5qdSFWFtbG97e3jh27JhymkKhwLFjx+Dn5ydiMiIioqqtr3c1rPrAG9paUvx9KwaBGy4gKYMns1HVJHohTklJwZUrV5RXioiKisKVK1cQHR0NAJgyZQrWrl2LzZs349atWxg3bhxSU1OVV50gIiKi8tHezQZbRvjAUEcL56PiMXDNOcSmZBb/RCI1I3ohvnTpEho2bIiGDRsC+KcAN2zYEF999RUAYMCAAVi0aBG++uoreHl54cqVKzh8+HCpbwBCREREpdfUxQK/jm4KCwNt3HiWhH6rQvEkIU3sWEQqJXohDggIgCAIBX42bdqkXGbChAl49OgRMjMzcf78efj6+ooXmIiISMO4O5ggaKwfHEz1EBWbir4rQxEZkyx2LCKVEb0QExERUeXnYmWI3eP84GptiBdJGei3OhSXoxPEjkWkEizEREREVCJ2JnrYNcYPXo6meJ2WjcHrziM48pXYsYjeGQsxERERlZiZgTa2jfRFC1dLpGXlYsSmi/jj2nOxYxG9ExZiIiIiKhUDHS2sC2yMLg3skJ0rYPz2cOy4EC12LKIyYyEmIiKiUtPRkmHZwIYY5FsdggDM3HsNK07egyAIYkcjKjUWYiIiIioTmVSCuT3dMb51TQDAwsN3MO+PWyzFpHZYiImIiKjMJBIJpnWsiy+61AMArA2OwvTdV5GTqxA5GVHJsRATERHROxvZwgXf9/WATCpBUNgTfLQtHBnZuWLHIioRFmIiIiJSiX6NHbFycCNoa0lx5GYMhm+8iJTMHLFjERWLhZiIiIhUpkN9W2we7gNDHS2EPojDoLXnEJeSKXYsordiISYiIiKV8qtpgR2jmsLcQBtXnySi3+pQPHudLnYsoiKxEBMREZHKNahmgqCxfrA30cWDV6nouzIE91+liB2LqFAsxERERFQualoZYvc4f9S0MsCzxAz0WxWKa08SxY5FVAALMREREZUbe1M9BI31h0c1E8SnZmHg2nMIvR8ndiyifFiIiYiIqFyZG2hj+6im8HOxQEpmDgI3XsBfN16IHYtIiYWYiIiIyp2hjhY2Dm+CDm42yMpRYNwvYQi69FjsWEQAWIiJiIiogujKZVgxuBH6eVeDQgCm7b6KdcEPxI5FxEJMREREFUdLJsXCvh4Y1aIGAODbQ7ew6K87EARB5GSkyViIiYiIqEJJJBL8r3M9TH+vDgDg5xP38MX+68hVsBSTOFiIiYiIqMJJJBJ8FFALc3u5QyIBtp2Pxse/XkZWjkLsaKSBWIiJiIhININ9nfDTwIaQyyT4/epzjNxyCWlZOWLHIg3DQkxERESi6uphj3WBTaAnl+H03Vf4YN15JKZlix2LNAgLMREREYmuVW0r/DLSF8a6WgiPfo0Ba0LxMilD7FikIViIiYiIqFLwdjLDrrF+sDLSwe0Xyei7KhTRcWlixyINwEJMRERElUZdW2PsGeuP6ub6iI5PQ99VIbj9IknsWFTFsRATERFRpVLdQh+7x/qhrq0RXiZnov+qUIQ9ShA7FlVhLMRERERU6Vgb62LnaD80qm6KpIwcfLDuPIIjY8WORVUUCzERERFVSib6cvwy0hcta1shPTsXY7ZdxuU4idixqApiISYiIqJKS19bC+uGNkYXDztk5wrYfFeKXy8+ETsWVTEsxERERFSpaWtJsez9hni/STUIkODLgzex4uQ9CAJv9UyqwUJMRERElZ5MKsHX3eqhvcM/t3ZeePgO5v95m6WYVIKFmIiIiNSCRCJB1+oKzHivNgBgzekH+GzPVeTkKkRORuqOhZiIiIjUyofNnLGwjwekEmDXpSeYsP0yMnNyxY5FaoyFmIiIiNRO/yaOWDG4EbRlUhy+8QIjNl1ESmaO2LFITbEQExERkVp6z90OG4c3gb62DGfvxWHwuvNISM0SOxapIRZiIiIiUlvNalli+6imMNWXI+Lxa/RfHYoXiRlixyI1w0JMREREas3L0RRBY/xga6yLyJcp6LsqBA9jU8WORWqEhZiIiIjUnquNEYLG+sHZQh9PEtLRd1Uobj5LEjsWqQkWYiIiIqoSHM31ETTWH252xohNycSANaG49DBe7FikBliIiYiIqMqwMtLBjtFN0cTZDMkZOfhg/XmcuPNS7FhUybEQExERUZVioifHlhG+CKhjhYxsBUZtvoQDV56KHYsqMRZiIiIiqnL0tGVYM6QxunvaI0ch4JOdV7D13COxY1ElxUJMREREVZK2lhRLB3hhSFMnCALw5f7r+Pl4JARBEDsaVTIsxERERFRlSaUSfN2jPia2qQUAWHTkLuYeusVSTPmwEBMREVGVJpFI8GmHOviiSz0AwLozUZi++ypychUiJ6PKgoWYiIiINMLIFi74vq8HpBIgKOwJxm8PR0Z2rtixqBJgISYiIiKN0a+xI1Z+4A1tmRR/3YjBh5svIiUzR+xYJDIWYiIiItIoHevbYuPwJjDQluHsvTgMXnceCalZYsciEbEQExERkcZpVssS20Y1ham+HBGPX6P/6lC8SMwQOxaJhIWYiIiINJKXoymCxvjB1lgXkS9T0HdVCB7Gpoodi0TAQkxEREQay9XGCEFj/eBsoY8nCenouyoUN58liR2LKhgLMREREWk0R3N9BI31Rz07Y8SmZGLAmlBcehgvdiyqQCzEREREpPGsjHTw6+imaOxkhuSMHHyw/jxO3nkpdiyqICzERERERABM9OTY+qEvAupYISNbgZGbL+G3iGdix6IKwEJMRERE9C89bRnWDGmMbp72yFEImPTrZWw7/0jsWFTOWIiJiIiI/kNbS4qlA7ww2Lc6BAH4fN91LD9xD4IgiB2NygkLMREREdEbZFIJvu3pjgmtawEAvv/rDr778zZLcRXFQkxERERUCIlEgqkd6+DzzvUAAKtPP8CMPdeQq2AprmpYiImIiIjeYlRLFyzs4wGpBNh56TEm7ghHZk6u2LFIhViIiYiIiIrRv4kjVgxuBG2ZFH9ce4GRmy8hNTNH7FikIizERERERCXwnrsdNgxrAn1tGYIjY/HB+vN4nZYldixSARZiIiIiohJq7mqJbSN9YaInx+Xo1xiw+hxeJmWIHYveEQsxERERUSk0rG6GXWP8YG2kgzsxyeizKgSP4lLFjkXvgIWYiIiIqJTq2Bphzzh/VDfXx+P4dPRdFYrbL5LEjkVlxEJMREREVAaO5vrYPdYPdW2N8Co5EwNWn0N4dILYsagMWIiJiIiIysjaWBc7R/uhUXVTJKZnY/Da8wiOfCV2LColFmIiIiKid2CiL8cvI33RwtUS6dm5GLHpIv649lzsWFQKLMRERERE70hfWwvrAhujSwM7ZOcKmLA9HDsvRosdi0qIhZiIiIhIBXS0ZFg2sCEG+jhCIQCf7bmGNafvix2LSoCFmIiIiEhFZFIJ5vVqgDGtXAAA8/64jQWHb0MQBJGT0duwEBMRERGpkEQiwcxO9fDZe3UBACtP3sfn+68jV8FSXFmxEBMRERGVg3EBNTG/dwNIJMD289H4+NfLyMpRiB2LCsFCTERERFROBvpUx08DG0Iuk+D3q88xeuslpGflih2L3sBCTERERFSOunrYY+3QxtCVS3HyzisMWX8eienZYsei/2AhJiIiIipnAXWs8cuHvjDW1cKlRwl4f805vErOFDsW/YuFmIiIiKgCNHY2x84xfrA01MGt50notyoEj+PTxI5FYCEmIiIiqjD17Iyxe6wfqpnp4WFcGvqtCkVkTLLYsTQeCzERERFRBXK2NMDusf5wtTbEi6QM9F8diojHr8WOpdFYiImIiIgqmK2JLnaN8YOnoykS0rIxaO05hNyPFTuWxmIhJiIiIhKBmYE2to30hX9NC6Rm5WLYxos4cuOF2LE0EgsxERERkUgMdbSwYVgTdHCzQVaOAuO2hWNP2BOxY2kcFmIiIiIiEenKZVgxuBH6eldDrkLAp0ER2HAmSuxYGoWFmIiIiEhkWjIpFvbxwIhmNQAAX/9+E0uO3oUgCCIn0wwsxERERESVgFQqwZdd6+HT9rUBAD8ei8Sc325CoWApLm8sxERERESVhEQiwcS2rpjTvT4AYFPIQ3waFIHsXIXIyao2FmIiIiKiSibQ3xlLB3hBJpVg3+WnGPdLGDKyc8WOVWWxEBMRERFVQj0bOmD1B97Q0ZLi71svMWzjBSRnZIsdq0piISYiIiKqpNq52WDzCB8Y6mjh3IN4DF53HvGpWWLHqnJYiImIiIgqsaYuFtgxqinMDbRx9Uki+q0KwfPEdLFjVSksxERERESVXINqJtg1xg92Jrq4/yoVfVeGIio2VexYVQYLMREREZEaqGVtiN3j/OFiaYCnr9PRb1UIbjxLFDtWlVDlC/Hjx48REBAANzc3eHh4ICgoKN/8JUuWoH79+nBzc8OkSZN4AWwiIiKqtBxM9bBrrB/q2xsjNiUL7685h4sP48WOpfaqfCHW0tLC0qVLcfPmTRw5cgSffPIJUlP/+Yrh1atX+PnnnxEWFoZr164hLCwM586dEzkxERERUdEsDXWwY3RT+DibIzkjB0PWn8eJOy/FjqXWqnwhtrOzg5eXFwDA1tYWlpaWiI///39J5eTkICMjA9nZ2cjOzoa1tbVISYmIiIhKxlhXjs0jfNC6jhUyshUYtfkSDkY8EzuW2hK9EJ8+fRrdunWDvb09JBIJ9u/fX2CZ5cuXw9nZGbq6uvD19cWFCxfKtK2wsDDk5ubC0dERAGBlZYWpU6eievXqsLe3R7t27VCzZs13eTlEREREFUJPW4Y1Qxuju6c9chQCPv71Mn4590jsWGpJ9EKcmpoKT09PLF++vND5O3fuxJQpUzBr1iyEh4fD09MTHTt2xMuX///VgJeXF9zd3Qv8PHv2//9Sio+Px9ChQ7FmzRrltISEBPz+++94+PAhnj59ipCQEJw+fbr8XiwRERGRCsllUiwZ4IXBvtUhCMAX+69j+Yl7PCeqlLTEDtCpUyd06tSpyPmLFy/GqFGjMHz4cADAqlWrcOjQIWzYsAEzZswAAFy5cuWt28jMzETPnj0xY8YM+Pv7K6f//fffqFWrFszNzQEAXbp0wblz59CyZctC15GZmal8nJSUBADKQy3KW942KmJbVD44huqPY6jeOH7qj2NYtFld6sBYR4aVp6Pw/V93kJCaiekdXCGRSMSOlk9Fj2FJtyN6IX6brKwshIWFYebMmcppUqkU7dq1Q2hoaInWIQgChg0bhjZt2mDIkCH55jk6OiIkJAQZGRmQy+U4efIkRo8eXeh65s+fjzlz5hSYfuTIEejr65fiVb2bo0ePVti2qHxwDNUfx1C9cfzUH8ewcHUB9HCS4MAjGdadeYjrdx9ggIsC0srViQFU3BimpaWVaLlKXYhjY2ORm5sLGxubfNNtbGxw+/btEq3j7Nmz2LlzJzw8PJTHJ2/duhUNGjRA06ZN0blzZzRs2BBSqRRt27ZF9+7dC13PzJkzMWXKFOXjpKQkODo6okOHDjA2Ni7bCyyF7OxsHD16FO3bt4dcLi/37ZHqcQzVH8dQvXH81B/HsHidAfiGPcEXB27i3EspTK3ssKhvA+hoiX6ULICKH8O8b/SLU6kLsSo0b94cCoWiyPlz587F3Llzi12Pjo4OdHR0CkyXy+UV+qGs6O2R6nEM1R/HUL1x/NQfx/DtBjWtATMDXXz86xUcvhGD1KxcrB7iDX3tylP7KmoMS7qNyvHPhSJYWlpCJpMhJiYm3/SYmBjY2tqKlIqIiIiocuvUwA7rhzWGvrYMwZGx+GDdeSSm8djrolTqQqytrQ1vb28cO3ZMOU2hUODYsWPw8/MTMRkRERFR5dbC1Qq/jPSFiZ4c4dGvMWBNKF4mZYgdq1ISvRCnpKTgypUryitFREVF4cqVK4iOjgYATJkyBWvXrsXmzZtx69YtjBs3DqmpqcqrThARERFR4RpVN8OuMX6wNtLB7RfJ6Lc6FI/jS3aimSYRvRBfunQJDRs2RMOGDQH8U4AbNmyIr776CgAwYMAALFq0CF999RW8vLxw5coVHD58uMCJdkRERERUUB1bI+we6w9Hcz08iktDn5UhuBuTLHasSkX0QhwQEABBEAr8bNq0SbnMhAkT8OjRI2RmZuL8+fPw9fUVLzARERGRmqluoY/dY/1Rx8YIL5Mz0X91KC5HJ4gdq9IQvRATERERUfmzMdbFzjFN4eVoitdp2Ri87jzO3osVO1alwEJMREREpCFM9bWxbaQvmteyRFpWLoZvvIjD11+IHUt0LMREREREGsRARwvrhzXGe/VtkZWrwEfbwhB06bHYsUTFQkxERESkYXS0ZPh5UEP0864GhQBM230V689EiR1LNCzERERERBpISybFwr4eGNm8BgDgm99vYvHRuxAEQeRkFY+FmIiIiEhDSSQSfN6lHqZ2qA0AWHYsEnN+uwmFQrNKMQsxERERkQaTSCSY0MYV3/SoD4kE2BTyEJ8GRSA7VyF2tArDQkxEREREGOLnjKUDvKAllWDf5acY90sYMrJzxY5VIViIiYiIiAgA0MPLAWuGekNHS4q/b71E4IYLSM7IFjtWuWMhJiIiIiKlNnVtsGWEDwx1tHA+Kh6D1p5HXEqm2LHKFQsxEREREeXj62KBX0c3hbmBNq49TUT/1aF49jpd7FjlhoWYiIiIiApwdzDBrjF+sDfRxf1Xqei3KhQPXqWIHatcsBATERERUaFqWRsiaJw/XCwN8PR1OvqvDsWNZ4lix1I5FmIiIiIiKpKDqR52jfWDm50xYlOy8P7qc7j4MF7sWCrFQkxEREREb2VpqINfxzRFE2czJGfmYMj68zhx56XYsVSGhZiIiIiIimWsK8eWEb4IqGOFjGwFRm2+hN8inokdSyVYiImIiIioRPS0ZVgzpDG6edojRyFg0q+Xse38I7FjvTMWYiIiIiIqMW0tKZYO8MIHTatDEIDP913HipP3xI71TliIiYiIiKhUZFIJvunhjvGtawIAFh6+g/l/3oIgCCInKxsWYiIiIiIqNYlEgmkd6+LzzvUAAKtPPcDMvdeQq1C/UsxCTERERERlNqqlCxb0aQCpBPj14mNM2nEZmTm5YscqFRZiIiIiInonA5pUx8+DGkEuk+DQtecYufkS0rJyxI5VYizERERERPTOOjeww4ZhTaAnlyE4MhYfrDuPxLRssWOVCAsxEREREalEC1cr/DLSFyZ6coRHv8aANaF4mZwhdqxisRATERERkcp4O5lh55imsDLSwe0Xyei3KhSP49PEjvVWLMREREREpFJ1bY2xe6wfHM318CguDX1XhSAyJlnsWEViISYiIiIilXOyMEDQGH+4WhsiJikT/VaH4uqTRLFjFYqFmIiIiIjKha2JLnaN8YOnoylep2Vj6MZLiEyUiB2rABZiIiIiIio3Zgba2DbSF/41LZCalYv1d6RISq9cV59gISYiIiKicmWoo4UNw5qgU30bfFBLAWM9udiR8mEhJiIiIqJypyuXYdn7nnA3r3y3dmYhJiIiIiKNxkJMRERERBqNhZiIiIiINBoLMRERERFpNBZiIiIiItJoLMREREREpNFYiImIiIhIo7EQExEREZFGYyEmIiIiIo3GQkxEREREGo2FmIiIiIg0GgsxEREREWk0FmIiIiIi0mgsxERERESk0ViIiYiIiEijsRATERERkUZjISYiIiIijcZCTEREREQaTUvsAOpKEAQAQFJSUoVsLzs7G2lpaUhKSoJcLq+QbZJqcQzVH8dQvXH81B/HUP1V9Bjm9bS83lYUFuIySk5OBgA4OjqKnISIiIiI3iY5ORkmJiZFzpcIxVVmKpRCocCzZ89gZGQEiUSCJk2a4OLFi0UuX9T8kk5PSkqCo6MjHj9+DGNjY9W8iDIq7rVW1PpK87ySLPu2Zcoyj2Oo2udV9BgWNq2qjqE6jN/b5vMzyDEUgyaOoTr+XSgIApKTk2Fvbw+ptOgjhbmHuIykUimqVaumfCyTyd46sEXNL+10Y2Nj0f8QKO61VtT6SvO8kiz7tmXKMo9jqNrnVfQYvm35qjaG6jB+b5vPzyDHUAyaOIbq+nfh2/YM5+FJdSoyfvz4Ms0v7fTKQNXZyrq+0jyvJMu+bZmyzOMYqvZ5FT2GlXn8ANXmU4fxe9t8fgY5hmLQxDGsan8X/hcPmVATSUlJMDExQWJiouj/Kqay4RiqP46heuP4qT+OofqrrGPIPcRqQkdHB7NmzYKOjo7YUaiMOIbqj2Oo3jh+6o9jqP4q6xhyDzERERERaTTuISYiIiIijcZCTEREREQajYWYiIiIiDQaCzERERERaTQWYiIiIiLSaCzEaqpXr14wMzND37598013dnaGh4cHvLy80Lp1a5HSUUkUNYZRUVFo3bo13Nzc0KBBA6SmpoqUkIpT2BjeuXMHXl5eyh89PT3s379fvJD0VkV9DpcsWYL69evDzc0NkyZNAi/IVDkVNX6LFi1C/fr14e7ujl9++UWkdFScx48fIyAgAG5ubvDw8EBQUJBy3u+//446derA1dUV69atK/8wAqmlEydOCAcPHhT69OmTb7qTk5OQnJwsUioqjaLGsGXLlsLp06cFQRCEuLg4ITs7W4x4VAJFjWGe5ORkwcLCQkhJSangZFRShY3hy5cvBRcXFyE9PV3IyckR/P39hZCQEBFTUlEKG7+rV68KDRs2FNLT04W0tDTB19dXSEhIEC8kFenZs2fC5cuXBUEQhOfPnwv29vZCSkqKkJ2dLbi6ugpPnjwRkpOThdq1awuxsbHlmoV7iNVUQEAAjIyMxI5B76CwMbxx4wbkcjlatGgBADA3N4eWlpYY8agEivscHjx4EG3btoWBgUEFpqLSKGoMc3JykJGRgezsbGRnZ8Pa2lqEdFScwsbv1q1b8PPzg66uLvT09ODp6YnDhw+LlJDexs7ODl5eXgAAW1tbWFpaIj4+HhcuXED9+vXh4OAAQ0NDdOrUCUeOHCnXLCzEIjh9+jS6desGe3t7SCSSQr9OXb58OZydnaGrqwtfX19cuHChROuWSCRo1aoVmjRpgm3btqk4OeUprzGMjIyEoaEhunXrhkaNGmHevHnlkJ6A8v0c5tm1axcGDBigosT0pvIaQysrK0ydOhXVq1eHvb092rVrh5o1a5bDK9Bs5TV+7u7uOHnyJF6/fo2EhAScPHkST58+LYdXQKocw7CwMOTm5sLR0RHPnj2Dg4ODcp6Dg0O5jyELsQhSU1Ph6emJ5cuXFzp/586dmDJlCmbNmoXw8HB4enqiY8eOePnyZbHrPnPmDMLCwnDw4EHMmzcPV69eVXV8QvmNYU5ODoKDg7FixQqEhobi6NGjOHr0aHm8BI1Xnp9DAEhKSkJISAg6d+6sytj0H+U1hgkJCfj999/x8OFDPH36FCEhITh9+nR5vASNVl7jl3fcd5s2bdC7d280bdoUMpmsPF6CxlPVGMbHx2Po0KFYs2ZNRcQuXLkekEHFAiDs27cv3zQfHx9h/Pjxyse5ubmCvb29MH/+/HzLnThxoshjFwVBEKZOnSps3LhRlXGpEKocw5CQEKFDhw7KxwsXLhQWLlxYPsFJqTw+h1u2bBEGDx5cLnmpIFWO4a5du4SPPvpI+XjhwoXCggULyic4CYJQvn8Xfvjhh8Lvv/+u0rxUUFnHMCMjQ2jRooWwZcsW5bSzZ88KPXv2VD7++OOPhW3btpVfeIHHEFc6WVlZCAsLQ7t27ZTTpFIp2rVrh9DQ0Lc+NzU1FcnJyQCAlJQUHD9+HPXr1y/XvFTQu4xhkyZN8PLlSyQkJEChUOD06dOoV69eeUemN7zLGObh4RLiepcxdHR0REhICDIyMpCbm4uTJ0+iTp065R2Z/uNdP4N5eyDv3LmDCxcuoGPHjuWWlQpXkjEUBAHDhg1DmzZtMGTIEOVyPj4+uH79Op4+fYqUlBT8+eef5T6GPFunkomNjUVubi5sbGzyTbexscHt27eVj9u1a4eIiAikpqaiWrVqCAoKgo2NDXr16gUAyM3NxahRo9CkSZMKzU/vNoZ+fn6YN28eWrZsCUEQ0KFDB3Tt2rWiX4LGe9cxTExMxIULF7Bnz56Kjk7/etcx7Ny5Mxo2bAipVIq2bduie/fuFf0SNNq7jl+PHj2QmJgIAwMDbNy4kScni6AkY3j27Fns3LkTHh4eyuOPt27digYNGuCHH35A69atoVAoMH36dFhYWJRrXv6GqKm///670OkREREVnITKqqgx7NSpEzp16lTBaagsihpDExMTxMTEVHAaKouixnDu3LmYO3duBaeh0ipq/Er6TQ6Jq3nz5lAoFIXO6969e4X+Q5SHTFQylpaWkMlkBf4yjYmJga2trUipqDQ4huqPY6j+OIbqjeOn/tRtDFmIKxltbW14e3vj2LFjymkKhQLHjh2Dn5+fiMmopDiG6o9jqP44huqN46f+1G0MeciECFJSUnDv3j3l46ioKFy5cgXm5uaoXr06pkyZgsDAQDRu3Bg+Pj5YunQpUlNTMXz4cBFT039xDNUfx1D9cQzVG8dP/VWpMSzXa1hQoU6cOCEAKPATGBioXOann34SqlevLmhraws+Pj7CuXPnxAtMBXAM1R/HUP1xDNUbx0/9VaUxlAiCIFRE8SYiIiIiqox4DDERERERaTQWYiIiIiLSaCzERERERKTRWIiJiIiISKOxEBMRERGRRmMhJiIiIiKNxkJMRERERBqNhZiIiIiINBoLMRERERFpNBZiIiIiItJoLMREREQV7PXr12jcuDG8vLzg7u6OtWvXih2JSKNJBEEQxA5BRESkSXJzc5GZmQl9fX2kpqbC3d0dly5dgoWFhdjRiDQS9xATkcYICAjAJ598InYMKkRFjk1cXBysra3x8OHDCtleYWQyGfT19QEAmZmZEAQBefun3n//ffzwww+iZSPSRCzERCSqYcOGQSKRQCKRQC6Xw8bGBu3bt8eGDRugUChUuq29e/fim2++Uek6i/LixQtMnDgRLi4u0NHRgaOjI7p164Zjx45VyPZVSdVltbD1VeTYzJ07Fz169ICzs3OFbK8or1+/hqenJ6pVq4Zp06bB0tISAPDFF19g7ty5SExMFDUfkSZhISYi0b333nt4/vw5Hj58iD///BOtW7fGxx9/jK5duyInJ0dl2zE3N4eRkZHK1leUhw8fwtvbG8ePH8f333+Pa9eu4fDhw2jdujXGjx9f7tsXS1ZWVpm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            "outputs": [
              {
                "output_type": "display_data",
                "data": {
                  "text/plain": "<Figure size 800x600 with 1 Axes>",
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