{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": [],
      "collapsed_sections": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "source": [
        "# Libraries \n",
        "<p>You need to have installed the following libraries</p>\n",
        "\n",
        "- numpy\n",
        "- matplotlib\n",
        "- scikit-image\n",
        "- scipy\n",
        "- Pillow"
      ],
      "metadata": {
        "id": "HOmELdih4eSM"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Imports"
      ],
      "metadata": {
        "id": "vy2f9IlA3HHs"
      }
    },
    {
      "cell_type": "code",
      "execution_count": 92,
      "metadata": {
        "id": "Jkq7SyO_2o-O"
      },
      "outputs": [],
      "source": [
        "import matplotlib.pyplot as plot\n",
        "import matplotlib.image as image\n",
        "import numpy as np\n",
        "from skimage import io\n",
        "from skimage.transform import rescale, resize, downscale_local_mean\n",
        "from skimage.color import rgb2gray, rgb2hsv\n",
        "from skimage.filters import threshold_otsu\n",
        "from PIL import Image"
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Read Image (local directory)\n",
        "\n",
        "- With matplotlib\n",
        "- With skimage\n",
        "- With Pillow"
      ],
      "metadata": {
        "id": "6OuEh_Yu4D6V"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# read an image with matplotlib\n",
        "img = image.imread('cameraman.tif'); # GrayScale image\n",
        "# read image with skimage lib\n",
        "img2 = io.imread('cameraman.tif'); # GrayScale image\n",
        "# read image with Pillow\n",
        "imgP = Image.open(\"cameraman.tif\")"
      ],
      "metadata": {
        "id": "Cbh-A08C3v-e"
      },
      "execution_count": 93,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Image attributes\n",
        "\n",
        "- object type\n",
        "- image size\n",
        "- image shape"
      ],
      "metadata": {
        "id": "OFcNlYjfZOrV"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# type\n",
        "type(img)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "4frc-HKFZTpW",
        "outputId": "5a741fe7-2c6f-45ec-b4be-216fedbd69c2"
      },
      "execution_count": 94,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "numpy.ndarray"
            ]
          },
          "metadata": {},
          "execution_count": 94
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# size\n",
        "img.size"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "IgBzXuVJZ7ol",
        "outputId": "22ad017a-a772-4a7f-e9b7-c4cbdef9b523"
      },
      "execution_count": 95,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "65536"
            ]
          },
          "metadata": {},
          "execution_count": 95
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# shape\n",
        "img.shape"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "0JeHWv6YaAVQ",
        "outputId": "1345f6b4-83b4-4825-f1aa-93185b3020d0"
      },
      "execution_count": 96,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(256, 256)"
            ]
          },
          "metadata": {},
          "execution_count": 96
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Display Image\n",
        "\n",
        "- With default RGB 256 levels\n",
        "- With Grascale"
      ],
      "metadata": {
        "id": "fo8SA_vA5dA1"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "## matplotlib.pyplot.imshow(f,cmap=“String” )\n",
        "\n",
        "where f is an image matrix and cmap=“String” is the number of intensity levels. If cmap is omitted the default is RGB 256 levels.\n",
        "\n",
        "With the following structure:\n",
        "plt.imshow(f,cmap = \"gray\",vmin=NUMBER, vmax=NUMBER)\n",
        "- All values less than vmin are shown in black\n",
        "- All values greater than vmax are displayed in white\n",
        "- Intermediate values with shades of gray (8bit->256 shades)\n",
        "- In this way we can display images with a low dynamic range or with positive and negative matrix values."
      ],
      "metadata": {
        "id": "zuiqpGtIcOIN"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "plot.imshow(img) # default cmap RGB 256"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 287
        },
        "id": "a6iQpLGh54UK",
        "outputId": "8e2f33b3-9a0a-4538-ca28-68a4a2208871"
      },
      "execution_count": 97,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.image.AxesImage at 0x7f25fb5abf50>"
            ]
          },
          "metadata": {},
          "execution_count": 97
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plot.imshow(img, cmap=\"gray\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 287
        },
        "id": "rK-PcqZo58uJ",
        "outputId": "9850f421-0590-4d2b-8e29-1b6a2d292bb7"
      },
      "execution_count": 98,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.image.AxesImage at 0x7f25fb526a50>"
            ]
          },
          "metadata": {},
          "execution_count": 98
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Display image with plot title "
      ],
      "metadata": {
        "id": "8s6pCU246M_3"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "plot.imshow(img2, cmap=\"gray\")\n",
        "plot.suptitle(\"Grayscale Cameraman\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 312
        },
        "id": "ZNDCS0p96VQO",
        "outputId": "8c88df3e-9533-4904-eb90-4dd49fbc93a2"
      },
      "execution_count": 99,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Text(0.5, 0.98, 'Grayscale Cameraman')"
            ]
          },
          "metadata": {},
          "execution_count": 99
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "### 1st Gray level limit example\n",
        "\n",
        "Limits: \n",
        "1.   vmin = 3\n",
        "2.   vmax = 103"
      ],
      "metadata": {
        "id": "nX7euXTTc5iE"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# 3 - 103 \n",
        "f3 = plot.figure(1)\n",
        "plot.imshow(\n",
        "    img,\n",
        "    cmap=\"gray\",\n",
        "    vmin=3,\n",
        "    vmax=103)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 287
        },
        "id": "AmPlg3ktc_xU",
        "outputId": "6debf683-fb10-4202-958c-96e43ab2085e"
      },
      "execution_count": 100,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.image.AxesImage at 0x7f25fcc4c4d0>"
            ]
          },
          "metadata": {},
          "execution_count": 100
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "### 2nd Gray level limit example\n",
        "\n",
        "Limits: \n",
        "1.   vmin = 103\n",
        "2.   vmax = 203"
      ],
      "metadata": {
        "id": "o2JSTDzxc5ZS"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# 103 - 203\n",
        "f103 = plot.figure(2)\n",
        "plot.imshow(\n",
        "    img,\n",
        "    cmap=\"gray\",\n",
        "    vmin=103,\n",
        "    vmax=203)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 287
        },
        "id": "lYlIMBXtdAwW",
        "outputId": "4ee93013-469e-418f-ccd3-9705716fb122"
      },
      "execution_count": 101,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.image.AxesImage at 0x7f25fc95ce90>"
            ]
          },
          "metadata": {},
          "execution_count": 101
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "### 3rd Gray level limit example\n",
        "\n",
        "Limits: \n",
        "1.   vmin = 203\n",
        "2.   vmax = 255"
      ],
      "metadata": {
        "id": "Z802rZIMc48I"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# 203 - 255\n",
        "f203 = plot.figure(3)\n",
        "plot.imshow(\n",
        "    img,\n",
        "    cmap=\"gray\",\n",
        "    vmin=203,\n",
        "    vmax=255)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 287
        },
        "id": "bv-0iBEfdBME",
        "outputId": "56b4f4ca-8bef-45e0-c847-9dabc95cdc98"
      },
      "execution_count": 102,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.image.AxesImage at 0x7f25fb4de950>"
            ]
          },
          "metadata": {},
          "execution_count": 102
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Save images \n",
        "- as graphics file \n",
        "- as regular image"
      ],
      "metadata": {
        "id": "GX1-PKlQ6kiV"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "image.imsave('my_cameraman.bmp',img, cmap = \"gray\");\n",
        "image.imsave('my_cameraman.png',img, cmap = \"gray\");"
      ],
      "metadata": {
        "id": "tl0sPrlU6eFu"
      },
      "execution_count": 103,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Image Tranformation"
      ],
      "metadata": {
        "id": "bPHCn0bj9bmD"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Rescale image\n",
        "\n",
        "<p>Rescale operation resizes an image by a given scaling factor. The scaling factoe can either be a floating point value, or multiple values - ine along each axis.</p>"
      ],
      "metadata": {
        "id": "g3WjguO067FQ"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "### Distortion\n",
        "<p>anti-aliasing = false</p>"
      ],
      "metadata": {
        "id": "M6JR3_vE8p4o"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "image_rescaled = rescale(img, 0.2, anti_aliasing=False)\n",
        "plot.imshow(image_rescaled, cmap='gray')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 285
        },
        "id": "hwV6DRpD64MN",
        "outputId": "8515512c-e1e7-4ff7-e587-73d206fcae4d"
      },
      "execution_count": 104,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.image.AxesImage at 0x7f25fb381ed0>"
            ]
          },
          "metadata": {},
          "execution_count": 104
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "### Smoother Edges \n",
        "\n",
        "<p>anti-aliasing = true</p>"
      ],
      "metadata": {
        "id": "yKTx_ykl9ERA"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "image_rescaled = rescale(img, 0.2, anti_aliasing=True)\n",
        "plot.imshow(image_rescaled, cmap='gray')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 285
        },
        "id": "aiwC0Qmu82S9",
        "outputId": "03f8d3ac-8b33-43de-e784-bb3393bb166a"
      },
      "execution_count": 105,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.image.AxesImage at 0x7f25fb2f34d0>"
            ]
          },
          "metadata": {},
          "execution_count": 105
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Downscale Image\n",
        "\n",
        "<p>Downscale serves the purpose of down-sampling an n-dimensional image by integer factors using local mean on the elements of each block of the size factors given as a parameter to the function</p>"
      ],
      "metadata": {
        "id": "T9OlUFVj9o3e"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "image_downscaled = downscale_local_mean(img, (4, 3))\n",
        "\n",
        "plot.imshow(image_downscaled, cmap='gray')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 286
        },
        "id": "ECQO1J2b-KE9",
        "outputId": "bfb06935-8198-4db4-86f5-c86b78dfec46"
      },
      "execution_count": 106,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.image.AxesImage at 0x7f25fb2d9a50>"
            ]
          },
          "metadata": {},
          "execution_count": 106
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Invert Image\n",
        "\n",
        "<p>Computes the bit-wise NOT of the underlying binary representation of the integers in the input arrays.</p>"
      ],
      "metadata": {
        "id": "m7vPEw0u-nDY"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "negative_img=np.invert(img)\n",
        "plot.suptitle(\"Inverted Image\")\n",
        "plot.imshow(negative_img, cmap = \"gray\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 312
        },
        "id": "SGLG_Y4J-Sqs",
        "outputId": "a01b9c78-5802-4661-e7f8-07577b60e5ed"
      },
      "execution_count": 107,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.image.AxesImage at 0x7f25fb24de10>"
            ]
          },
          "metadata": {},
          "execution_count": 107
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Rotate"
      ],
      "metadata": {
        "id": "0w0ERdmk_cPc"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "rotate_img = imgP.rotate(90)\n",
        "plot.imshow(rotate_img, cmap=\"gray\") "
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 287
        },
        "id": "z8LI6Npz_RPi",
        "outputId": "6e84d851-e17c-4490-a76c-ddef9ab367d7"
      },
      "execution_count": 108,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.image.AxesImage at 0x7f25fb1c24d0>"
            ]
          },
          "metadata": {},
          "execution_count": 108
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Grayscale image Conversion\n",
        "\n",
        "- Custom Function \n",
        "<p>To be able to convert an RGB image to grayscale, we need to\n",
        "follow the following procedure (Custom Function)</p>\n",
        "\n",
        "- Through scikit-image\n",
        "<p>from skimage.color import rgb2gray</p>\n"
      ],
      "metadata": {
        "id": "rFtsOV2tfEiE"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# RGB to Grayscale\n",
        "def rgb2gray_(rgbImage):\n",
        "    \"\"\"\n",
        "    print('RGB IMAGE')\n",
        "    print(rgbImage)\n",
        "    \"\"\"\n",
        "    r, g, b = rgbImage[:,:,0], rgbImage[:,:,1], rgbImage[:,:,2]\n",
        "    \"\"\"\n",
        "    print('\\nR VALUES')\n",
        "    print(r)\n",
        "    print('\\nG VALUES')\n",
        "    print(g)\n",
        "    print('\\nB VALUES')\n",
        "    print(b)\n",
        "    \"\"\"\n",
        "    grayImage = 0.2989 * r  + 0.5870 * g + 0.1140 * b\n",
        "    return grayImage"
      ],
      "metadata": {
        "id": "xBl4GV3cfDuy"
      },
      "execution_count": 109,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "### Read an RGB Image"
      ],
      "metadata": {
        "id": "Rs_x4ioGuZae"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "RGB_image = image.imread('football.jpg')"
      ],
      "metadata": {
        "id": "KekdDaO6uYRH"
      },
      "execution_count": 110,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "Grayscale__image = rgb2gray_(RGB_image) # custom function \n",
        "Grayscale__image_scikit_image = rgb2gray(RGB_image) # scikit image function"
      ],
      "metadata": {
        "id": "EtkBa-ncibKC"
      },
      "execution_count": 111,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Setup Grayscale image matrix"
      ],
      "metadata": {
        "id": "5NV51-O7v6eX"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# Evenly round to the given number of decimals.\n",
        "Grayscale__image = np.around(Grayscale__image)\n",
        "# convert to unsigned 8bit int\n",
        "Grayscale__image = np.uint8(Grayscale__image)"
      ],
      "metadata": {
        "id": "Lv7SJ5Erv6FA"
      },
      "execution_count": 112,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Display RGB Image matrix"
      ],
      "metadata": {
        "id": "ZVk5fCRqurl5"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "RGB_image"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "qGInmkm8i1gd",
        "outputId": "f2c63f36-6376-4706-98aa-8b336f628334"
      },
      "execution_count": 113,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[[ 47,  87, 113],\n",
              "        [ 41,  81, 107],\n",
              "        [ 33,  73,  99],\n",
              "        ...,\n",
              "        [ 39,  82, 114],\n",
              "        [ 32,  75, 107],\n",
              "        [ 27,  71, 100]],\n",
              "\n",
              "       [[ 36,  73, 100],\n",
              "        [ 38,  75, 102],\n",
              "        [ 39,  79, 105],\n",
              "        ...,\n",
              "        [ 33,  76, 108],\n",
              "        [ 29,  73, 102],\n",
              "        [ 34,  78, 107]],\n",
              "\n",
              "       [[ 34,  71,  98],\n",
              "        [ 30,  67,  94],\n",
              "        [ 36,  73, 100],\n",
              "        ...,\n",
              "        [ 36,  79, 111],\n",
              "        [ 32,  76, 105],\n",
              "        [ 36,  77, 107]],\n",
              "\n",
              "       ...,\n",
              "\n",
              "       [[ 39,  84, 107],\n",
              "        [ 23,  68,  91],\n",
              "        [ 16,  61,  84],\n",
              "        ...,\n",
              "        [ 34,  76, 100],\n",
              "        [ 31,  76,  99],\n",
              "        [ 27,  72,  95]],\n",
              "\n",
              "       [[ 21,  66,  89],\n",
              "        [ 18,  63,  86],\n",
              "        [ 31,  76,  99],\n",
              "        ...,\n",
              "        [ 31,  73,  97],\n",
              "        [ 32,  77, 100],\n",
              "        [ 27,  72,  95]],\n",
              "\n",
              "       [[ 24,  70,  93],\n",
              "        [ 31,  76,  99],\n",
              "        [ 24,  69,  90],\n",
              "        ...,\n",
              "        [ 23,  65,  89],\n",
              "        [ 28,  73,  96],\n",
              "        [ 24,  69,  92]]], dtype=uint8)"
            ]
          },
          "metadata": {},
          "execution_count": 113
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Display Grayscale Image matrix"
      ],
      "metadata": {
        "id": "xd2vjnXFvhvy"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "Grayscale__image"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "ETe8sMtcvarS",
        "outputId": "902c971f-8f64-4f28-dacf-39c33bde956e"
      },
      "execution_count": 114,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[78, 72, 64, ..., 73, 66, 61],\n",
              "       [65, 67, 70, ..., 67, 63, 68],\n",
              "       [63, 59, 65, ..., 70, 66, 68],\n",
              "       ...,\n",
              "       [73, 57, 50, ..., 66, 65, 61],\n",
              "       [55, 52, 65, ..., 63, 66, 61],\n",
              "       [59, 65, 58, ..., 55, 62, 58]], dtype=uint8)"
            ]
          },
          "metadata": {},
          "execution_count": 114
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Display RGB and Grayscale Image Comparison"
      ],
      "metadata": {
        "id": "F3YrDokUwVpf"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "plot.figure(1)\n",
        "\n",
        "subplot_1 = plot.subplot(1,2,1)\n",
        "plot.imshow(RGB_image)\n",
        "subplot_1.set_title('RGB Image')\n",
        "\n",
        "subplot_1 = plot.subplot(1,2,2)\n",
        "plot.imshow(Grayscale__image, cmap=\"gray\")\n",
        "subplot_1.set_title('Grayscale Image')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 204
        },
        "id": "40iXf6P7vePZ",
        "outputId": "27c3b7dd-1305-474a-be7e-ba0db6365531"
      },
      "execution_count": 115,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Text(0.5, 1.0, 'Grayscale Image')"
            ]
          },
          "metadata": {},
          "execution_count": 115
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 2 Axes>"
            ],
            "image/png": 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RCITtjriZWfJCrQXVSq0LTdtT59zrMa8BlmVZla3PWVe6rsRqrbe8v1FCCEzTtB4/eovTNLEsC7XWVUm7cvPP3Di4PM3bnud5NTopJUIIzPO8KtGUEufn57c888PhsCqzZVnIOQPm3boXfDgcANhsrJhjKWU1Ft4Hl3me13OPbQFuKXZXin4MsBpJP6f3ezyHj7G3wQ0BwPn5OdfX17TW1vuVc+bi4oLdbrce5207HA7rOPt5vP+quhrUnPN6/2KM69iOqzf/3g2Zt9X76uM3z/N6r70tzyLEvCaeu6oWEfmNWGZkBL5GVZ+RVt8nPgY7oI1SF5oIoZmVq7WsS/HSCrUpu+nMlGBrZG1Iq6RpQrStVhZVmiopBFJQcilM00TTRl4y6h6SNubNRF4KuT9wQSCXbBOoGdyhIlSUpkKMya4fJtIcSTHQciZoQKXQ2s0EllpZ8jVxmikAsxCmxPnZjkcvv4tlEVKcSduZZW8ejYgQRVACKs1MmoDEgHSPXRBSCizHA60spCSoJFSEog2pBo0EGoRGrRlQYoooZsCa9r5hRjWoMkegVbQFJE7ce/ASFUFaoe6v2JRMprC5f8Hm3iX7JSMaaPWItspxOYJWRPoqJ7D+X3NFaMQgqAoFIcREwyAYX6FJjLQQqRgcxGQPtAqUvEBfeeTWCJst09k5+5xpatdMKdJKWQ3j6z+vTfwBdaXj3h7Q53ZdlZQrhYuLi1UBuRfnCv54PN5SWCEEYowsy8Jms1k9T7+2qrLZbDgej7e8wbEdI5TgXr2fe7PZEGNcFduoFP037kmCrTCmaeLs7IyXX36Zw+FASonNZsPhcFiNnK823BC5InYP18cn52wOQ7pRV2M//BzeptPxHg1Ia20dE+/ngwcPVoXsSltV2e12XF5ergbqVIl7/30FMLbBDba/dqfRX48K3lc3/t5XFn7NeZ7Zbrccj8e1nSmlW/fvqfPumd9+CKKqfxErwPP+j8UQZBuYRogRBGotxBhoNZvSkYmmlRjNKyjLQsAw1xAEbVAKIEIMjpY3INBaoRYlxchhf22TKyVqq6awa6X2wU3JJnYTMwqidJhEDHYJEUWppdGq/SFCKQoaCGmmqkBMq4dcmyIhUGujHg6kLJACcVK2m5knjx9xcXGPOJ0Rz2fK9ZFSM0mkX6MQUjSFJkJrlRDME1iWIzlnphgQlBATIJTsN7/ZWGhFOobRxFcokKZIyRUFU7iloNU8bKYNkjbszi+4Pi7U/RMilaoVmSfuvfAij3Km5kKsQMu0vBBFaTSCKk0raCWIQlMsJNJordhYKkiKiCRTzH1tFoIgMRGnDTLNNIUppVsPthm8QJomtCvI0KG1GIRc2/tUyvpQ5AOZ1/349YGEG8XjHrs/oK403Rt1yGL0wuEGdx0xdFcI0zRxfX29KklXRqPH70pnVK6jB+pevhsZVzRuaFypjBCOwy2qyn6/76uxvCr0x48fc3l5uSopP2aEjbxPfm2HLXxF4G0dx+90nMcYwCkM4595vxwem6aJ8/NzDofDOub+3Zve9CYOh8Mt6MWV+Cij8TjtwwireV+9H6fQjBvv8bx+zLjaAlZ46Fny3AKqowg3gcfWGloNa99sNmhrJAQNAQlCDAnElCSq1FZIMZln2L1EbQ3pHi4ESvXJ2MhLf5imvvOYT3BtSLPlT62VUosph3JkkkRojdYtpkqjtsYkIGlCQ0CbeaK1GKwxbTcG61SDQQBKNi+yKWg50gjU1ggibKcN5Xg0BbvZMp9tMPQoIwG0mpEKMXBcFtI0M8+bvkxrBEk96NmgFbT1ieAPoFbAxiVEMw6lZEQCuihREiJQG2jNJFGIE5nE2dklx8OBtuwJx2tyLZAmHrz0EktuhAJRlePxmnkCxGIR1GxjT7PYRc4ErWgpSA+2NpQ4z5ASIhNaMhKEWroXNs+0NJGmDaUWWlMzJG4ogTRNzJuNQT4CNS9EgVb8wXp+JTZGL9WVrXvDI1TjD7HLKbTgn7n4Z75CHRWHL+393G4EfG674nEF7O1yJeLK36GaEZ8vpbDdbm8ZrNPViL/287jHDga97Ha7Fc5xBejtXZaFlNIKQbgy9fF7mlIff+/9XZZl/Y0rV2+/r3RUlbOzsxVe8uullHjxxRdXeMZx7tGwjOM9GpARXhuDtD5+o6HcbrcrJONQld/P0QhsNpvV8Lihc+/9WfKGUO4IaBDKUph8uVkKKRlLAl8GakOSeaYpBEp/yEvNULtHH8FhntYqRGNX1FaJKZJzYTPvCGKDjCjTPBNSXD2/aZpIMaJUNAZC6w/hFGnaqDREKglFFGLqxgZFpRAShBRYSiNNQgozWhpzjAQJtAYkRaZAVZBS2cyBfDhw/ehlpvMz0u6cOE/kmglBLGCsav3o2J0ts5v1BUVUaKpEbQRuHmpT2g3E2htaI3Q2iVYLSMbQbjBs6aGYEAnzjml3zrJ/QmoZrQsLynTvRa5V4FCJTTkerggRyjFjS6gMrZJEKccjBJiCUJZmcQQ1o1abedatv5YQqK0SYiCEiMSIqtCAzTxTlgWa9pWIMm+2yDRb/7q3LjHRypHNNHNlS7nXcTI/XVxp+GtXyHCjoByScKXkSsO9dfeW3XsevWyfD5vNZlXcANvtdj1ORGxud1hiDPABt9ozHj8qLPc0T4OfblBcGfo13JAcDgceP37Mbrdju90yz/MtResGxue2wyOuyNzYPYv1chqYdg997NMIBU3TxHa75fr6+tYxFxcXtzx8h5yWZXkfJo0bkRjjLcz9dCXkbRu98ZEV47CZw0UO14zzZHzuU0q34KGnyRtCufsNmzYbaA1V2J2dU1XJLaMqpnyDmKepSqMiMdgCXhLTNHM8LgSEGANL9xq0FoN5MEbN2fkFKc3UWpnDRJRGiLDkSi12M0o+UkuhamU5HFbKH01BlNLspq9K3+O60j2upsSUKKUanVIbAdBqD2atDY2N1lcXoUHMFUqmLQdahDYl5h68rbkR04xi105pIpdCLZUg0VY3EghBiCoEqasxbGpQFBq6jlODXaDDWcHGvLUbGmUIlApC4uyi45F5oS7XbKaZs7Md08UF1/uC1EZsSqRfr1kgWJt55ypKiIK2ilKZpsByKBafKJkQEzJNpHmL5kpQpdRqVJ0QzMDE2dgzAhIiMdlKL8UbSmReFmMNhYmSC1obS1Pm+dXuyvbaiM/teZ5XGOPs7Gx9gIFVcY8wyakicCXiitU9bFceMUbOz89XL3Cz2axK1oNwroDcSzwcDu/jgY+vTwOx3mZvwxjMGyGb0Zj4dx4rcAXlq4JTHN/bPwaa3bj5OUcF60bEPXb3oEdDMCr4UeleXFjZdb+eB43Pz8/Z7/e3WDiudP3vlL4I5hTu9/tbLKdpmtj0VaVfa2Q2jYrex+E0HuHxk9HrHw3qK8kbQrkbjkyffJ0BUAoqETqV71gLaLPlNsY/N0p56hh85Pzigv4x2hVu0MrUFa3Uyv6wp5SH5hVqpeU9zQMcEmiqNzBRELZTQqebwEkQg3lQtUBnZ/i0DgW1aooShRRARKmloNpowWCDEAIBn/jVwIlkkYdtnNlfPbHVwWYHarzt3OMK27MzajFDkEIANaUZEDR3fJZCh9OJ2qjZvNfaWSopdG65YPi9iMUs1DjpS21UTWzS1oKj148QaRQRDpsdD+69ieNhYaoN1YLEznbKBsVECZRazSAGocejqeVA1ALYCkTUYiy1KlIDqp3dERIqASUgIaExQbRVU9YO4zUIMVKLMYpsGgVarszThmODqsWYUc8RlnEF456Www0jHOPK+lRRuVJzbPhptD/3gFtrK5bt13QF/DTK4AgNubIb4QWX8XdjIHUM6I4e+uiRnrZ1u91ydXW1vvZnyhX42dnZrdjAaDyehnUDt3DylcL8lHvg4zDGOFSVq6ur9TinGzqENFIZR0htHFc/zu+B9/uUTno6bj4ubtj92LEtpzCUK/SRLfMseUMo99Y63RFjUyz5aGHQONGqcrY9IyFMm0SuhWlKoGLMmtqIUYlRudo/skCsNkrpNLOlc1pjQsT+36WJWguNxubsvMMR8WaZmuzYuob2bm5EKYXoN7FWO2cQgiralJaN604P/rVaSdsN9IAm2gxO8qUdAahExTx9YJ4mymFPbo2UZlKamdNErpXj4WiKvbep+jlr6YFEMyixM4xqqVhCUMN2SjM4JAQxeKj3T2vrhi31IObE9myD1IVQCksryHbLgxdesglbKnOKlAXKspiXrg20WpC6wy6CUHIP4GEGVRVqsdWGSlgppittUisSQg+uWlKahEA5mlKcUzKm0+CJpWlCFVJMBsf1c3VT8DrO5tviSsGVky/t3UvbbDYrrppzXr0x93YdBnHoYKTyuXfritkNwbisP4VJHFcfWSR+jtEbdGXtxzo1cAxGuqftynv0nEcGENwoIqduwg3E4966By9PqYJjAHcMko7K1D370zjDqWL2MdrtdreCxvM88+KLL67j6rTMMbA99s8N5miox776Z35/vT0+ri5+HodafKU1tt9pkmMQ+1nwlMsbQrmLwG67oeaMBMsGUyCXyjxNFixtxuMWEZZ9pubKcjgaxtpdt6VkCIF53hBDIKZISAkJRh0MMaIhEKJN4NgzMUPqy74QVkZLqQWJdkSIkdoqpdiaQXtWqYSbTNmSi+HxqqR5BhFqg5gmas0GnaTZFCChB1obKUBrBWnVErD68m2WxnL9hKMGLu7dZ3N2zrzZsT8e2R/2luDUMzxFjMVTaWt2bm3GsvFVSAgTlUZrQlG1vovQqgKWaBVjYp7PiNst4WxiOR4JuUBW4jwx33+Bx4+v2EwTrRSu9tckUWME1UxolUYz2mqnNWpTVO3+xdoMAurtslhI997UPG8RyxTOpRKSGP7eM2LNkwodp7/xSEWVmrPdG214knCwm/S6zuWnyXa7XZWCe8uuQFwRedKMe9+Hw+FWMNWVyAi3+O9H7+9pS/UR9hkZMCPe7Urs9DdgQbwRNgHzVsdVw2hU/L0f50Zq9OT3+z2qyr1795jnmc1mw/X19UqVhNvw1CncMyrQkdo4QlWjgZnneb2OByjdWLnH/vjx41uG5tSjHmGrkfY44vMj28WvPypjN6Ij7DYGz8eg+Xj90Rj7vH/aKmWUN4RyR6Fc7wmilLxwrBWJkdqU1ozjnEsmpMA8TwQCmhublGgoIdpNjpsNqqZQY4xIDGRz/ZCULNNVAjUESqlECUz0CT4sTzUGJEykkG4Cr63jZCKmQFWpdaF0S9yqEiSaAq3KNCXCHPtNF2Ka+k0UmnYDEY2iKVjwV5sSRIjTRFgKcxJyVa6ePOb6uLA5O2eaN8zbnQUpacaOEYE0mXceDTpSVeJkAemmSlOIU7IMVLUVh2BZbEEiSGJ3ds523nF12FNaJZeFtt+znc948OILPG4WsDzur9fzaC2UfDSPG6NahiBE6cttOr2ysZZTMA/bDCQaSJMxYkQNq0eNNhpiQMVosikYBu8L9QY91iCrgfPJXlthmiK1e8nPWzyjMefM1dXV+sDXWlePPYSwZnmOnqMryfG9B15HjvsIv4y47hjYdK/Xf+9KcmTtjJCOt2sMVI7e+sjoOPWQ/dhRnIHjK4RSCo8fP+ZwOHB2drYGOC3R7cZzHQ3RCHON1xjfn7JIYoxrINczZZdl4XA4rB57znllxbiMSUjjqmGEkkbYyts8Gja/X36+cSU1jufT4hujYRgZNx6reH9z+w2h3LVW9o8f0WFuu4EKm2lG5omGEOeJOBkvXQRSiqYwAmiM5FrZpA1NG0tVkgi1FDvPZouX1i+19KV+JCQDpnPJTNOMNqM7IpY8JNrrljTD4YMD2dpxPAJKI0qwKIB2JYQpntotchBBFAQ7LgWhlSMpBMO8i1EmtcMrWitBjTJJD8o0iRyXTJq2zLtztmcXgBrGj7IacbmJD2g1xS5iVFIvNSDaaCXTSqHVwrE0JDRCVa4fP2aaE22xAHLcbrh84QUqCkuGUpCWqbWAFgucYgyY1gqleTzCFPxa50YbTQtBjABZm64KXpsyb2Zqs9VPEzM+rcczQjQGDdywTkL3gJpaiQgV6UyiQIgWy6g9A/d5SmuNR48e3VKeIYTViwTeB28fIZSR9suGsGcAACAASURBVOYerLNhHHpxz8+Vx+jVOc4/4r7j8n5UWqde5qjsV8dH9Zan6jLSOccgqV/XX4+ZqQ6RAByPxzXxaeSKe3vH8Rypgqffww3OPfL7Sym8/PLLt8ZinmdeeumlW5j56R9wa2zdgx6DrOM4jisVF4dVxviG36dpmtbrjCuq8V55G8Z7N0JRryRvCOUuQYizeZVBgikgiVYLBrFEopggyIrDKvR6MobtztPMkjMpTZaE1JSUZtrxaLzqEEhiGaulNOY5QK200BAVaJmAUJfaOfCNooWUJgtYBitPICLGiZeAxMA8bamlMG/sIQvNW4cFFLvU2j0af2DEMPGAIj1OQLPgb5gSpEtTfD0pKcSJXBohWd0JCbZUn2JEm/H9RehJQV05NufGRwx9EWrTrqA9qah0Eo1QyxFJiVIzZX+ktsb5m17gkITl+opYoeXjWsqAVqk100o1QwXEYJh3U6OZaq0rM0bE2DSI9RlRK3VAoxbjsLemZrR77a+6xhKUoPagNJQwRSaRtdAaXbloX8mVZp7YNG+eYzj1xlsdFfuofP0BPw1m+hLdKXsj/9u9U2e+jOdzb3706vw8jumfMk1GZoYfO9Y42W6376PMR+XnkIkrZfcwx9fuoToVc+znaBCcUeMY9Ah1jGyS8bMx9jJ6x6c8/NQT4A6HA7VWXnzxRYAVInparZtTOGiER0YKqr/34/z6TzMcI+/e2wfcwtZ97EYoxsfL4zfuHLySvCGUu2klY4WsijNEikIiUEslYgrSFLz9TDs1UZvhswFMeddMkEgpGZ2gkkkhEaNAU7bbmdyzN4NaQa2SF6IEpDXa0bDrME12rmge6JpJF4LVuHEqoyTz8EO4qVejjZiEWqrRDGOgYWwUicFKFFjWkXnQpZCk14BBOFZLNgKMbkhFQiKXigSh1AUwmEdESRY+QKtdOwQxbFssmzbGhMTAlEzZt3JEtC/toq1AAgWZJvKhEHogO263PMp7YquEQyZIMQ+7ZsAyTw0ZaYNBMagniDEwS8kg2hk5QggJaqFpJaWZEO3eabAHIvRYyDzPtJTMGydCo3Pgo1WmxLKFa86EYVV3XBZSTEiEJWeeJ8/dFfpp2rk/5KfUvVFRjV7giL+OmPMIW7TWODs7W7FkXy2M8MqyLOvqYIRvXImNEMTI0fbXfu4RY/fvTumTY/B3hI7G644sF0/gOR2Tp7FJRrx6DJS6Mn0ae8b587XWlWvvQdxxXF0Jn/7+FCJp7aYUwXifRyX+tPa7wR7hMTfUp9mobhR9teHHeLmJZ8kbQrnbIFrSEPRiTzUgGjg2aAKTJsOGg9PjrGBUbcaHaB2vbktm7hbQbpCxQEptyCyUpuTSOg+9sJ2NGdNKIVMNG8eMizSDZ1Bb9k8dQ885MyVT6DlbaYQpJXIuqEIV8yBrNppeihNeZ6b2cglTiMZ/10KIRturqrRgmDyyoBpAIyHFHtR14LpQj9eIBHLJ5rV2fr+2BjERYmKaOm0TMY+5Wvr/1AL5eASszkxrFcKGy4tLy5I9LrRp5uzeC5RjJh0XpGQqFXKxsg+BDrd0zwgLdmpfVShQVYnRg5sRqFDNA1cxPF2a0Bal7QyeatUgnEmswqXKhrq0FWMPEo2BcyzEmCzxKSZqo3PzIYYNrdixKkZRfV4yLuGBFdsFbjExXAG4cnQP3cUVz9Pqpowe9EjX2263q+IYoYLRiPhrhyt8hTDCONM0rd6piys1P9blNN1+5Nk7xDSOhyu3EWM+Ho+3vH9n84yw1ejBjvCJiKzJQD4mIQQuLi5u1ai5d+/e+t497Jwzy7Ks1/Ix9jaMAdIxWOvHP42uOfLSx5iE920stjYaUL+ej6/349QoP0veEMo99Ac5SAMtRIGcF0QDcUq0WijFSg+EEGkSCJsNRQth2hjkAT1FH7QWJAW0FCJeh0Oo2WAWPOgkQl7sZgfBAq8SaNonpkCIyQxDCrSm1NpIvV54EIOJ8BsLhteHSGsgKdhqorYOlxi/W+llAmql5Ywej8bfV+N8KwGkgVh/DTYyuKfR0LJYIbRp7gyRXkenWSCamMzI1GY8cBGaVrT6pFGUSmuWBVyLstvaw33YG+Xu/P49KoqoEnOm1YUlL8Rs5RQ8RuAxCER6YNteq6oFQ5tl0MYQOBwqkwSoDZlstYD6MVY8DAm9jEMByYSpMaVkcQGMM5+XvJYV0Ga1iEQbKVpsw6EiidFgH31+wMxIl3NvzpkY/uCOiToeTHUl6w/yiFWP5xoVy6j4/bqj138KK/j1/XynSVF+TVdApwplVMpwAy+4MjoNyo7JV97f0zZ5P8agpP8/xiNG/N7f+/iNK55aK7vdjlIK+/0egAcPHtyCVkZqqY/lOC6nweZRgbu3vt/vb8VHxpiG32s3LD4OI/Q1xkjGldBpAHlMuPpRwXNHFSm9qBU9C67XXanLkRS1V4ssoL0oVlvYnV+Ql0IIkYBQmnneaQosORNS7FS7RAg9eLocLDrdi4CJWBarKSRbBYQ4UapSMc62IdepB3ylwxC2UqDzuVtTo0b2IGewyKExYGJcOdxzCFZ1UqBJ58bXgrRiRb8kWFanWM1y7fVkrFqAnTekZMZBIcZAqV6eoU9yOte3tV6D3mmbVndFRFEWlEIuwjRt2e42luEbQy+oVqg1Uw5XsOyhHklAJNNar3ipHbcNlhPQajajZ+Xc1mCqdCMaU0CyURtLp23WXGh5YRuspo7mjNRsxjSYsWj9wY1Re+zCx7wyTYklL6hWYjD4bI5G9wzS+mrw+Sn3MZAGNx6ae8munEcDVEpZPc0RS3ZO+FgTxpULsLI/Rrz5lG8+1qEZYZVTA3CK+57SE/31iEd7BuwprHSKG4948amidMPmbXVF69dzY+JKzo+DG7qoj6crwd1u9z4GVVV9o4tbzBf3sEdj4oZpHL9RcftKYyUyDDCTK+7NZrOe242a36eRpjp+PtZ1H4PsPlY+v15J3hDK3XYXMugdDSjGepAQMapgAenF5ztOW7RRjntIkVYEJKJVkZBYjkeqGq0yxrnXczFFNHdFizZSSL2UgKy1TGqz1HebkHbDp9QpjaFTFoPVUV9yZkq2fA4SQHt54SmurBuVmyqHxijH2B09wCrJ6qe0lok9nqBYklEMkEujSmWaZgSj+eVlIYYbVkxbbjyiFCIiBrW0XKwqY7W6OmBZs616QSQzlBcX9ym5UJdMk8bubEcVoFSkZVo5oMve4gPaiFGIUVA1Jd6wuIXi6LYlbLnXLMFqwbjn7YlhuuLwldAXJyFNZhTwJXBD1WiitccIggilWOCtloU5RVq1ekTiY14bpVXm+dkp2q+1jN6Xvx89VpfRQ3Ns/JQlAtwqGeBeuSuxEcpxZTEeNwYjT2MBI858Gnwd2zBmSJ6ya/y6vtrwY0/7MtIwRw6+e/rjeV35+SoEbrxtuMGxvS+uQL1/9+/fX/FsVSv94L/z84xZruNqyO/PKdQysmfGfo/wlH82QkZj2YbRCI19cqMwBplP4xTe53HDlKfJ88/wgK78GkSrcU5M1CDIHGkBw9g77t0QSrWEolKq7cLTFC2NSKRlRbMSCMxpNtpfzQSglQy1EFWZQ7QNO1BotWeVttUbTzEQoxCCgjbE/7zR4lmePZ2+FktkqkYhVFsGrEsvGShMQW5zdlvfjMOcb+3hxJtND2KwLFgra2DVJ1sxj9Qfdm1OOeyVMWvtuHgjghVWEyxRrAmiEUjMm0uaBpb9YtUWYyJME9NscYuyLARtpG7kNEYKQhUhq5K7MVKJBqlEGxcbIrG2i+cFVGo1Q9Bo3ZDaiqSVbLi6GKXRVyMpWZ18o7UaNTIGGeAuSwgzOim0otSszNOWGCdybjzPgCrc5ju7lzni36MCcI90xONHnNYVszMrxkCgK5eRaTOyNVyheDtOg5rentGT9DZ4ItN4bIxxLR42wiQjG8bbN65evL2unEYlOCbyjHXUvZ3+/tRTdoM0iscR3EMf69qM3rjfm2etOHxlMhqpEarx40dMfsT9x/HwY8fYwbiCcqPmK7wRLiqlrPX1X9OAqoh8N/AYqEBR1Z8iIi8CfxL4OOC7gV+mqu99v+cKVpelid2UpWSW2osTSSCmCZFgG1BIYOq7HeXjEctsnGzLPLWNKBoGeUxuIXvZX7QZi0YxeuS8IZeFKUXD4FuFaJhviPS6JdIDeeZ9t9przmM1x2uzejLTPBM73p2SlUpQtWJfEoTQTMnRWg8omkK0MguWuh9i7PXYPW09oyGSmFCUkjOilRRjh38su9PaEq1KZiuIlV7sTHxTgq0aHETfxlDjzO7scvWWApU5JatTj+0kJeJ7kvq+rjelThXp1SfpxccUTULONunmqZd5KGbwarN2WwE147UbPdQqUWqaaDmz2e0ox4NVCs3Zdn4SyzMo2TZn0a7oW5/8KcxWRKynIjgb6tSber3n9ilDZJ7nW4rSFeTopfpD7VDCSHUc8dhT+qMrAL+fDnF4dUE/bgz8neLJI2zg1/FkK4cGHC4Yg7mvxD13rHnEnkelN153PO6U0uke9WnW5+jhj6uflNItaAtYE6f82mM7/XenOPbYjvF7h1lGuqP37bQujrd9WRbOzs5ule8dGTSnUJMr9tPzjcr+WfLh8Nx/tqp+iqr+lP7+S4C/rqqfCPz1/v7ZokpUXUvR1ly6N95x1FZvkmVahVao+QBaCKHR2oLWTCm2lV6rR2q+Ruu1bRfXstU4r7nzqW2DjRgi0hpTjNCUvBi9sOZMSnHd8o/WqHlBm+2PulKg1OqWiyrbeV4hhlLsWFOMQwW4fpN9w2qRSEgTad6sXHavVa89SIzYpLPz6BqgbOuDZMlCHZTvk0BXOqRl3zeDaVq1PV+bbcSx2cws+ciyHEAzMRSg9g1JJssZmGaUiISJim0WkqIZySkIEUVKRvORyE2SjUj3Zmrr8RJbTbVqRqHUTh0NkRSieerad1/qnHxjMCwgSi2ZsljdnlprvzdjIK8BBdVCqceem6AfKub+oc/tE3EFNgZKR890VHLuxbrCdqzclcLImHH4wz1o/63DPM4gcXhjhGr83K4k/freLq877seOAVG4KVUweuyOV/tWfSP0cqqIT43UCAWNq4txnE4pij5ObmC8xID3e/Swva2+6fV4TR+vkRY6GoTRsx4Tm8Y4h4/lSDkd74XLyKsf7+lowMfVivdx7P+zMPfXApb5xcDX9tdfC/yS9/sLVerxSMsLlEw9Hju3W6AayyP0gF0QJfbc0KCVmo3OF4ISo9DqQs0HtBnDoy5HlsM1eTlQS6+NLn3ZWYqV9G3N6oRrV6q9Xo3DCVpNQbSSWRZjtkiHT+iQyHI8Wq10CUxT6nVVWq8pk3rxKwu8Khils++sRIiWMUugFfPsg3bueBRqEIOnpGfOSmeiqO2wZFANoJVWi2XUqhX0qtUgH1U6Oq4Q4PLeJdL3XW31SK0HWjv2cxjEszs7Z3dxyeb8gpZmwry1DarFlLJl3lpdmdiMRWOwlCUl+QYmEqRnBQfAVgI2J21Fpgp1WRDU2EwW1rYM2Y7dhv6wxRCZUmKeJmMluZGTZjs+daUuoZGrBYjfXybfazm3zUDl9eE9Ho/rw+9KGW57sa4YTqmAp0p+WRb2+/26yYQf50rUITtXImuexomn7tc/xcZdaTo84ji6GyX34h1aGeGaMdA6wjx+zKmCPv3NKQQzxgTcyIx8+DHWcP/+fYB1XEZD6ON9fn7OxcUF5+fnxBjXOvjeltNreltGmGtc4fiYjuPgnvxIGx3H1iFbh4T8vZcjOB0v799Iiz0ttTDKhxpQVeB/Favc9YfVdn1/i6r+UP/+h4G3vN+TiHGc52hBPQ0TNRoME8R8MtQUVKnN0tFrJU4RqQGpgTiL1UMv2VUYAMKxLyOPRJk5Hg6IJGLcdAZJIx8zKc1oVojdq2oFUTME2oOjVTNpmqy+u6qVoS0dSpHEclgIITHNs21DR9+Gr3PBFUU2U9+j1XBxkhCZSaq0w4FkDi0lFojQQiPMiRoiRRuaDzD1MridaaO1EoNAWwClHTMxRILEHqSMNLENB5lmtvfeRFGl5T2pGvOl1MaisA2R43JEBaazHW2zJZ6ds/VAbhU0H2HZ05ZrWsmUWFDtXPucIWvvhz8YPRALiCilLVbTpsLSk71k2ZOkGp6vEWpgohqdUwNVJiQbK6HVQtZsyUvBJnEpxQxkEJblCBi1sjYLcj+vuQ039D4vDjZ6duvFBvz8NHA5LtHhdildh0j8Ou4tukL1TE/3Ok+xefeiW2srFu2Kx38TghX6crbOyFkf2zMyOVwpe6ExN2qjAgduGYvTJJ5xFeLvR9qgX8sNxajY3cP13/kxbujOzs5IyapxXlxcrB6+G9Cn4dnunbsxcc96pIOeYu1eS2dU1iOkdOrtjzCP98n77Jm7470bVwKn8qEq95+uqj8gIm8G/qqI/H/jl6qq4iUb33egPg/4PIC0uyC98FG0Ry9DgSCKaoHZNj9uzdkkkSkEqMocZtrSUCxjsugNx7c1JU2WnKTVKH2iSqkLqhDiBmIhq+2AkkulqtoOPmpK0G9WUbrHTafzgAfo8tF4syFuCKEhvQZNXfaW6l+L1SbPFnSNISIBZgJSFWFCpkDDYIQWJ8piwdkUJuaQSGzQRXoW6YZDmKlFOZ921F5et2mnm0uy828yiWa1cUpDinn5MQa2mwtoSjkuHK72zPQVQKlEUaalQBVKbiyHQtieEc82NEnMZ5fspBsUNU956ca0CYbpHw7U44F2PFAOe6RaAtTUGhqFMEW0yVrGV/puSwAxRZZq9yKIlV2onQqZoq1+tGP/VRthSjdbH/Y9aj12E0JgniaWbEyb5zW3N5sNl5eX6+YPIxzhCmikNI6KfXz4b+Z2u1Vz5tQjHXngYzVKV4KumP18pwFdVzrjBhGjMnXvfmR0uDFwz9V/54rNZWTSuNc5GiowhXh+fn7LmI0rgtEg+nj4mJyfn6+BVW//6NX7+TzAutls2O12gO2+NCrgER6DG8NyPB7X/8fAqfdphHROYyWjwRmhF49LjP1yyqbHCcZkr9FoPguW+ZCUu6r+QP//R0TkzwKfBrxDRN6mqj8kIm8DfuQVfvvVwFcDbF54i84XLzKfXXJ4/JAnj95LLdfMLZsilzMUo+lpMI8s50BeGiEsIBVpRusTxeqEH427TrWaKyFY3RhBIB4oatuxlWLlhVucIE4QkkEDuaGBvvS3DFowr7HVTr3qcMNy2BP7YMdQrfgVgsTJWCtAq0qVRlIrdFVbw3lCtinFRBJLxFEiLI00W6bpkUaRSo4NdjP16mXK/sAmJFJTNipchpmzaeZiu2U33+dssyWpsIkTm5gIQIoGBS1iUJKW2lclcFiOHJaFA8KTXHl8dWCfCw+fPKLOG5YUibsdL0uBlCgVQpoJYSIghNYQjYSzDWF3Aa3YRiiHa9pyzXL1mITRGnGIKdqmHLUUC55WY8yEKULriVcYdbQKVmKgWMZtTKbYwzwTBnim1mqrK1WrH98+uIDqh2tuX1xc6MXFBRcXFzx58oRHjx6tcIErxdMU9jEo2s+3/u/K63QFcKrARqrdqBxOk2hc2bvX6MrDrz3uHXqqjE/jBt6+U3aLG67T341B2NbaWvbXt7XzoPB2u12Lim02mzUGsDLR5CZr1fs7GjyvAOmxhydPnrAsC1dXV+tqyveXHTNDT+E8ryw5UiiXZVk3JR+N9xhjGCGpsWzD04y9/86N/BhMLaW8T233Z8kHrdxF5BwIqvq4v/5M4MuBbwT+beB39f//3Ps9WW20XLiOEF54gd3lBe3xyxzf/cPMORP0QJUCoZJpxGmitQAhofVALQstBGyvTSsX4HuOxtY3kRjYcE06ricCk9Ve1zTTJNIIpGljUFGM1BiZ5i1KoKoQ02zJSSFwqJkQIvM0U4eodikFFaFXBmZKE9JrrASjw1OjJfOIBoLMsAQmiQSpFD1yPWeqNKIeCBLY5gNvCsKshXtnMw82iRcu73Nvu+Ny2nAWA5MqcwiIJlKMJMJa3TL1IKcZHnrBLUO3S6s0VaoqNcHSCrU0coMny8LDZeFd11c83L+HxyJcHRr7FjnKRA3JvPZmQc6alSpCmCem7QVsZ2Q+Y7O5h169B12uVwZOabb/rGX5NpblyLy7oEhgWfbU2iidyirJioFNm9nq9SA0saSvpWmv02NlnGNMlOw10adb3t7rPbc9CBZC4N69e5ydnXF1dcV73/veW5g73HhxY4BuxOJHr88V9+ht97avf+7djUpqLGLmytFlTIxyg+Bc99HzH/vm5zv10N1A+Ll8tTEGikfF7tUtLy4uODs74/79+5ydnbHb7VYF7gZqpAyO/RuV3TiG44rFoR6PSez3ex4+fMjV1RW11nXj7rE/fq6RX+7B2GmamOeZ6+vrW9TKsS1uVNwone7F6u1yJtWouMeVhN93NygjhPU0+VA897cAf7afPAFfr6p/WUS+FfgGEfl3ge8Bftn7O5EI1HwkSaIcG5Jmdg/ewvn5Pa7e8w6un7wHsP1TW6lIycwk6vFIDXXdFLs2KyQlEnpwtBq8g3nOK3WuJzGBGptEAiHNSPcktXvvsrEdgpbDFUgkzVtCy7RmZQmiQkpQjwerP18rVY/GAJkSIkptjZwti7a2QlJfuhqcUgmodiroFI2LTmRLYdLKBfBC2vDmzTlv2+54KQZ2U+zp+7J6rWU5kA8HXnjpTYSQzHMVSzaSYJUsWxBUEylbKYUQ7PdUK08cUGYaZ0RIxrB5QeCjEnzMNtLkHvl45CoX3n3M/ODVNT9yfc17D9cctZAJSDpHpi2ES1rdoDITwkxMBTnrAFT3vtM0mYFtDaTSykIrtmfuPG8oh84mWI6EONkqKS92b3wLvq7ggkJTsZLDrXXjbpuBPN+5fcPp9ozU+/fvc3Fxwbvf/e51mzc/zpXQCIvA++6MNGK7/uCPXHM/54jBi8haWteVtl/HNxFxr9XPOZZOGPdxPf3sFF7x96NH79+PNMnz83MuLy+5vLxkt9utHG64gTLc837zm998C/bxv9HAudE4ha5OVx++Uthut9y7dw+wuMDxeFyN7+PHj3ny5MmtGMW4QhhppCLC1dXVGmw93TB8DOxuNps1SH08HldoaFmW9wlQn66sRgfgWXi7T9wPSlT1O4FPfsrn7wZ+zgd0LgzXTrmSFHKGY0qQNuze/mPY1JesdkzO7F9+CPs97bBnniI1GlTTgJCMiS1iqf/TPBHoCULVKIRlycxitcdFrA76kjO1LNSykPr+nXUJ1MNV38EpEdJEOVyRJRDShPRt+wrG0w7TDCFZlUIFqRPTZkZb7QXBAkkCNR+syJZAmiaKdlpYK0za2EhlOysfnWbeurnkbdPM/Tib9z8Hqljlxut9YcmFeUqcn90nThc8uD8xhUAQq9YYRDEqvax1Z7Q1ojRiZ+OEqKTZMmNbVfIiSNyhsSKtMKeElEjMmZwXtlHYSuA8Jj5qc8GhnfFwv+c9Dx/yrsM1PxCf0CZlkUiLGyRtiSGyf3wgENhevonjfk/NR3JtpGQFzxqVqErsZX+95EDNhVIyseSeFUtP+PJNwy2Qm49HMxZNKIsSktV8PxzzECt5/ec23AQYnTnhD+xb3/rWW4HOhw8fcjweWZblloftrBS4YZKM2YljZiPcYOnuJZ7i4u61OrQxQkNjpUKHLMYA7Ygbj57n+J3/xsXhDqcfnp+fr6sYh1zG5C5nAG02m3UTjwcPHtxaZZyycMZVgSs/x6a9nV4R048dsz99zP035+fnlFJuKXqPM4x9jDHy6NEjaq3cu3dv9eDdwJx68eN4+L0ZC4W5Eh9hNA+KjyyZGOOtjUWeJm+I8gP2uCYqVn+ktWq7GYWZehCanNNiYnd5zuaicrx+SDs+4cnDdxGOV8bCwAJ6YXggSmuIVFqx6oURS3EXI1IbwyQGUpwIrQ9GU1rpHlA7WpnemCgiEFJX5BMFmEIyzzMkdNpQJRKnjZXUXQLLPkCM4CUGutGZpwk0EHJj2xqxLLwQhbdtEm/d7ngwTTyoypyEOAs1NnKEY6d/Xaa54+cbWohcaWW729C2O65L4VwjoRm+bTXybQu9pgaD0G4qZlrxLrEdjZIZnVotW7hUKNU2rN4gxAZHAqEsnEllS6FF5b4G3r694MnxwMcfn/DuCu/MlZefPEJ3lYfXj2mtMm0vkDhzPp9Tjtccnjwk14U52YqqHg6cnT3olSxNyfe0MTPkzfZWra32jdS3HPvm3ylNBIHaGtPGNm1J88byJZ7TrB5lTIJxT35UxpeXl5yfn6+K7eHDh7eCbP7gj6wM/98V2SkPPMa4wh1+nTHjEbjlCY9KeaRMulJ1ZouvQEYF5+0ZPVb3Lj2ofHl5yXa7XZXe6KU6tfHi4uKWgfGxOjs7uxUMHhkyI0Z9Sl/0vo2GYIS8XKGPkNNIy5ymifv377Pf77m6umK/398ywA8fPqS1xm63I6XEgwcPOBwOXF9fryUcnLZ6cXHxPlm3fg034GO7nPbqit2Nuvd1hOyeJm8Q5Q5BEi0oLSi5FFKySn+dD4jmxv9P3ZvFWJZdZ3rfHs45d74xR2RmZWVmVWVlkTWQIoukZKvJIinLbYqA/OIGDBjdtmW3Hvxu94thvwjoVwMGbDVgw5LgoQ1bbVmiQAmUqOY8yKRYFIXiINZI5hAZN27c+ZyzBz/ss0/sCBZJWVOVN5DIiHtvnPmuvfa//vX/ayp0v4ftjPG6QHe6sJhRL5a4aoNCBeVD6XGuDrxrGeAL76DyHoQg00G33eOpfYPXyqaxSAm0znGmaViywe0H58AFswlXV0glqHzAfKXO8GYDQlGXEi8VSudIVeCkRFKEbFIohMqobICS+lKxLwXXxz32C81IwEhIcgRlh9BtqzK0ztnUhkVZ0hsNWVeG3e4AIQKNtMZDLih2ehgpWS/XuOWKO7MJfwAAIABJREFUgciR3odmhkY4DalxJgRv4YPqo7OuzUqErNHKs6lKvAThG19SHEpLOj6ndlCbEkSDgWpBbQx9nbFlB+xhOVKCU+s4nZ+hl3NskbPJDLVQoDUy69DpQbmeYVyFxVOvlxRliSXDWIFGBo6+Cfo/dW3J8IiGDVW6GiuCF25l6wC74cmURsuAxbvG/OUtfbYTqCIWxVIoBYJhRCwYxkCUBolYsIt4dVqMi3UeuIj3xm2nRbu0cJfivikNMIUdImtDCHFBCz4tkkZoJs2i8zyn2+2ys7PTBuwYSOOIWXbEvofDIWVZtjBJDMJFUbQUx/jZODGkE15aK4iTS0qxTOmhcftxAkqbqdqO7eYco5uVlLK1RYwQTtx2OrlFPH61WrXXdrVaXdC1iSP+nMJbl1dB6f2KkNpfpfP6bRHcvXfUpkJnCm8tuQ5uOwbXyMZaMhc6R/Eaj8AagXUZsrtDv7eLL9dspie4zYLabqDhwwsvmuwtUOWclDgZZHm9NYGPLkP3qBAS7wi4uwp4uFA5zlQoHQqkzjbt77igGmktoq4bAwmFk6HLslIKpXK0l9hV+F0UHXKvGMmCW+M+t3bG7OIZCoeWDqc1Vd6lFBJhXdDGyXOsDdIGPaERQjHc36U0lsxaFI7ceypTM52cYvOMo61tJtMZKi/IYiFVNJMYHqEabnM00PYOnUmUklgr8F6hsy7WGjyNkJNstGusCcJoZOCCWHtHaZSssM7hlKbvDFlVMnaCncqxPejyoNwwOTumygrqvEuddbA6Q4928OsFZnEGNF20XmGsJ8OhvWOzXJB1+2gV2DIh2ITJTzSKn06E665V0L6vK4NxDV75lj7bF1vT8zy/EHxjBhdhiDSD7HQ69Pt9yrJkNpu1wSTlfsdxGf9Ni60pVh8LknDO0IgFypT1cjnYp5S+2OV6uXgbg/r+/j5HR0fked5CLhHuiJOU1rqlasZgKIRgb2/vR+oG1lomkwlKKfb29pjNZm3n6+Vi82WWSoRfUtpmpGjGiSilQKaQDgSGTMqgia5YRVG03P/FYtEamqc8/DhZLRaLdhK5DGXFST0ec7w28bqnReMUQku7fH/ceFsEdwEgPMZUgUECOOcRqqELOYcSgrIqyWiaUqwl0wJnPAZB3u0z7nYw6wXz0wnVeon0llxsAEcmgyytQOK9wosgUCYpQYhQcNVNsbPRhgn+ox5FQ3GBQHn0LkwUuIZyJ7B188WoHViPEAbDGrTGO+ipnEFdcePgKjcOrvCEzsiVx/gaLRWZ0lD0mThPKTVaGGRekBUd1vN5KDhJxXy9DK5NTaG00CE7H+YFvlkVcH/CUd5FyjBBWoKuu3KA88huKKgGWd6mqExQXfTeBWpjI3tgAGur1izEN6JgWgVZCEEjDqaCoJjRAuU80gk61tHJYQDsFjnrcsVkOeHBJuNhZ0TZG+KLLnkxZFALzpYPwRuKrIOyIGtLXa4RKNYP75P3e9giRxQdlJeI0iK1xDea796EIrmz4ZkRLih/vpXjMi4O55hryoK4DMGkzI5Op0Ov12Oz2TCZTNrO0xiwY5Ew/p4GczgvuKa4dBxppn85sKUUvAjpxP3EAB/hBKUUR0dHXLt2jdFodIF5E7P2lHseOzPX6zWj0YjhcNgyVlJIBGizZmMMp6enDIfDHymgxvOMYmHx95SxkxZ240STnkfc7+UicDqRpQ1VEfYaDAYt6yY2P8UJJUJKs9msPZc4cUbWzGQyaZ2hUmw9Pj9xpZeeb8zi3/6wTMPqCCyPAJf0e12W63UIYJnGLteB9+0tUoRmFeNdMNnwjtoJjBSo3ohxd4BZb5hPT9lsHpApGSQLGlgGqYMqopQED6GmOGTj9mi0Xxq1StGIGRlLphTOBezc00j0CoEscpwx5Hl4L3BHQJmKgdfc3tvlqWuPcnW8QwYYs6HKBVUnDy2pG89IZgzQDPIOM7ekFoJHDg7pdDoNX19wsDVGAzIuNQnSxhlBmqHjBRaobcnZ9IyVKUEHZcZcKDbzBTLzKKEoOh2G/UEAPxrURigRNOhjdb4xnbbNF9JVDftASpwIYl7WWXIpUZ4gR6BACIfEIk3wXHXlGlkv6HjH0FnGteIHa8eZt1jdI9vaR5klm7Iil0H7pi0CItgsZ2zKBfnOTtC7MTVKaExdgQZXCxRBgMyZkNn3OgXrcsPfQFvmb2VczjD7/T7L5bLNdFMueYQ9UspgzO47nQ5HR0dsNhtms1lrEBEDGJxDQGn2fhnGie/HESeSuL90UojHGOGk+HrcttaaRx55hJs3b7K7u3she43ZfFmWFEXRQhaxW/Xg4IBut9tOZru7uxfgJzi39UtXIVVVtf0CMQNWSjGfz1t4JQbdeH5pTSKeQwqNpQE0haJSzDvev7ROALQrqlSgLa56tNYMh0M2mw2bzYZut3uB0iqlZLVasdls2qJx3HeEh+L1iZMUhA7b6P3648bbI7jjsT54Z4YHzWHqmkwFvXWsabTNq0aCVjUQskM3F8FJEbTdhQhc9U6f3aM+pRmzPp2wmZ+RyUaLxblGVjfw221tGt73OXZnrQXZ6Fo0E46QIjBfIu2rEeuqhUNrGfbvgy6MEJKe1Nwe7/Cuoxvsj7fQuUYJj0ZQDUeITIOrKXo9xFgjdBe/qFAeul6RKcl08oDM+6Yz1yJtKMhKHeoE1jt0v8A5qI3h5OFDSgyDXp/x1pgdJUGFIqQExM52q644n8+ZnJyyv7fXaq3jg0lJbYLxhpBBfkE0Fn5hcxJT16EQ6s4txOaLOWW1ojIVdbVBBRmb0P0rBVJ2yDNLXzjy6pRqPcHZXZb9I6rugGK4TW0dXgY3KaUH1OtQAO92JNVmjjl+iFpbsvEWNpNBo6fhuwsCj98HCZsguRCWhX//j3QyLlPzUrONGEBjQ8zlIHJ5GR8DV6/XoyzLlqOdZttplnlZBvdysEiDVTqRxG2lRcf4Wgzce3t73Lp1i93d3QvF0VhcNMbQ7XYZjUZkWcZqtbpAg5xMJu1xpvTEtIDY7XbbZ+z4+BhrLf1+n+3t7QtwkhCC3d3dNujOZjNOTk44ODhozzuee8zsU4z78oQSA3z8F6GXtPs1nTBi/SCuRtbr9QU5iOFw2P4er1/sWo5mItPp9EJROe4jfSYur6p+0nibBHdalb/Y8uu9gOYLa+oaaQwoETTFjaDclFCE5hmwaJlhrIWmqFY1XyjR3WZUjHCjOev5FFOugtOPtWRa4xRY03C+IQSFyDpwtgmKgcEjhcRGuWAhaVzigriXCRovmQft4Xp/zNNXH+XG/hF7nR6ZE5TOsC4E62GB7uyweTClXwuy0iIGGtOt0IOMQimOsiFnp6d0FAgTOlsljkwrFB7fmEVrrajqmrPZjLOzGcPRiKOtXTIPHTTSBtaJFw2sgscqiUBxNp2xv7+P9yGz9y6oKIrGRCPo0ocGMCkVBo8UMJ+dUZahwy8Eh5idOrpFhsoERa9DVVZ4G9hHtbWY2mLqiro6o7JB+iCfO4zsUcsOUuc4E/RjRF5QVTVG5OgG7890hig99clD6npDceUQ6zWyDg1mNDr53nlUllHWFd1e962O7W1gT00h4hc2ZqZwLkmbZvIxc0wz8LjNbrdLt9tlvV4zn8/bjDiFYSIcFPeXMmdiNp/CQGnDUgwmcfKOAXJra4tbt25x7do1BoPBhaJfp9Oh2+1ycnICcIGuF2mNnU6H09PTC1lqDI5x3ynP/uzsjOl0yng85uDgoP18PMY4OaTXdjqdcnBwcAG+iucTf04zaAgTQKSjLhaL9lrE9yPTJwbjlNqayhNEiYJ0Uo66MHElFJ+FOEHEyfD09JSqqtjb2wMuFl/jcxDpkb1e7+0Py4QMwYaMCwIuHt2ZpAxyANG5SMimACpBBkikkxcYYykQ1KbRIckDlIAH4yWyGNHvjjDVisXpQ3y5wjmDlhIpdav8GJqbouJiNJ1u2DKykdEUDXYjggyvliqoVFrDUCievPooN3b2ubG9zzjvUtU1VVezkhKRa9aTOf0r2+w9cg1zPGEoFAowGwN1hc4Vm8WKnlBoF6QPMi3DisMTOjEJmfzZw1McnkJK7jxyI9QPCHILIKmFx4vGStAFrv9ys+HB/XscHh3S63RaW0AhBN6KkMWjsNZgjKOuK05Pp2zKCuwG5yz9wYAsGzeGG+cBYrVeYHBs6hqkxFpDaatG8z4Ifq2Uo/TgK09hS6rsDJNlyGKA9EHW2XpwUoLOEcHEDy+6WLMkkzA/Pcb6mv7BFbzuYJxDyzD5V1WN9B7hYLVcB8mJt2ikTJY44pc+pRkCF4Jc/CJH3fCY+KQQQQxoWZaxv79PWZZMp9MLE0bKn06zvTQopg0xKawDXJhksizj5s2bHB4ecnBwQL/fbxtv4jFPp1OKouDatWtMp9MLTT/xGZnNZu15xL+N+08nmslk0gbkxx57rD2mlCETJ6d4TdfrNffu3ePKlStt1h8/n55jDL5VVXF6espms2m3MxgM2N7evoDdR/gEaGGnSN9MM/z0byIFMrJs4uuXi7+pX26WZS29cm9vr70WkSWTCprFBrgfN94WwR1CvPQuZIh438jCihYC0Aiq2pAZg619wzMt8FJROlBCg3VkMsM1WLhxHl2XCJFRuaD1ovo5w6KDXc6oF1OE2TQTBuAMeBoVQR+OwzWFGUJm2+j8NrxxifAhw+9IzcF4h6evXOfR0S59rcmUYCFqytyz2iwYD7cQi5rrasT8dAH7GaNbhyjr2Tw4ZuAV0juk8cisCA+wiOJHoRhsvWNja+bLBevFiv2dPfpFB51pvGh03L3ASnDdnEfu3KY/HrKazfnOn34ds1hw78E9jg6P6Pe6zXUPBigQnJfMZs1yNqdcl8HRKssY9wf0Cgv0sLamNib0AMhQlDI2BPnaC2ongmNTtcG5CnyJNRXGbShFzcpZnM3InaKLZlavsHJJ7jr0Mo03JVnWCQwkrYICpVM4rUE6hK0oKoc/PaXyGrl3gCX0MdRrixAKRRAm8+avLRz2tz7S5X9KcwPabC9m7mlGfBmHhvMCbQotdDodDg8PWS6XrFarFqu+nNleDvLx/5SZkVIJ8zxvs/W9vb0WOonHPp/PWzu74XDIarVqAzzAw4cPWy43cEFeN04sMUjXdc1isWCxWLC/v982OcF5gRTChHbnzh1GoxGz2Yyvfe1rLJdL7t69y9WrV+n3+z/yN1EiebFYsF6vEUK0TVWdTgc4X0nF65VOlOlq53LGHoN87GOIK4S6rul0Onjv256DOOGlRujAheOcz+dAMPO+TImMUE9VVf9/wNwFuc6wdYWSAiM9lanI8w6lCWwSbw1aCLT0oIJkrjAWcOdYvQvYcEj5g5eoQGBtHbJ97xEu9KzSHZAVHag2VGdzRFkiXYm3azINxlks0WhZIVSw5AGFtALhFKiw/QGSZwZ7PHX9OuNBly2pcbXDqJypltRCousMtYRRb4DTnl0Bfjajh2OzXtNrWEJBJ73pwhSCytcIwFZhyTc9m+KF5LA35pG9HTZdhVcS7Ruqm/XB3MTCpj7j6OiAg9s3MXgers7IvGA8ucnm7gMGQoO3nNYbVnXF6fFD6jLUOrYHI7rdIUYASmIqg6tqKmsxQTcBhMTYGuMctbM4AXVDZ8TZ4DyFwqkcETxWEC4UgysvMMIgRY2ywU/F6kBTrSqDxlB0c+ra4GQWLBi9pex0qZyicBo/WbCZPKTIK/TWYTAVQWK8x7ga6wWZ0G81KnOBWx4DQyxSxswt0tzisjsVAIvBPeWIx9dTDnTM8oqiaAPHYrG40CyVqhNe3iacB/uY7WqtOTo64rHHHmM0Gl2QsI1ZaMxioyqjlLI16450wbRmEINYDJp1XbeYM4SA9sgjj7TX5HJx2PugWnnlyhUee+wxnHPMZjOEENy4cYPj4+M2YMamsOPj47bTM+rWpLDT5QAdr2kM4CksljJZ0nsVr19KZ42fj3TPCJ1FR6YU9omf7/V6LBYLzs7O0Fq3vP90e292737kufvpj+bf/RANZzkuYa30qEwTMmSJq+vzJbep8SbYteECJdEai2sLMAXrqkSJAMtEaQPvTJgwshwhA3yDs3TyDuOdHFduWE0nIBzW13gcuQoFUuM93oBqOjxtkBunZwXjTsF7Dq9ytDWkKxxSeOZKUOQ9TKFgXTHe2aV/Y5vFbIpbr9lBoYXEeaiXSzIpw/kA4MJxe0dtLfPFgs1yhXSe7fGYa/uHyCJD165dNWSZxniPzTW2gmxRo5WiFoLPfeYzfORom2I84L0v/Jv0uz3m90/400/8Iaev/5Dl2ZRltUFpxe5gC72dY4wlE+FaG2cxtkbaxleSUG+wuGBd2JiJOxt6EpQMlFPvQtNX6Ak4N+sQTjZ0V4H0QfkxUwLlZXuvpBQUWYbwjiLX1DVIrTGbFYXOqIynM+igZcF0esxyMmFAl+64YOUNIi/QDTvI2jpR9//7H2/WaJQKeqXFzdTpPo6YucfMLwbNy8qK0U4Pzs2W0yAfA2fKdU+DJVzUYxdC0Ov12oJpCs9E/ZeyLNna2mJ3d5fZbHah2Sc27sTiYRwxIzbGsFgs2rrN9vZ2y42P2XGEguK1gosqlZ/+9KfZ3d1lOBzywgsv0Ov1OD4+5pOf/CR3797l7Oys/fx4PL4gnxuvdeqMla5eUigrLcDGkb6e3ue0mH25HyFOiBGiiQ1RWZZRlmV7rwaDAUVRMJlMOD0NLo5bW1ttv0R8hlJ9oTcbb4vgHkgnSZNN4/SjpEILgcfhKhMUH51nvVzRz3JsdCIiFGCVUpRNoQMV3vPeNfh98F01dRlwTSlwFlxtkFojioL+3h5ms2K9OMPXitpVSKHQrln+4vHCIaVDYXlitMc7d3bY7iu6toRBD6sllchY1YY9B33RoV5V9HPN1q1H2Nx/AMeneJWj8mZ5rlQodDqDt47lasWm2lBby3Aw5JHDI3IanrKESlhQntoapBPkzvPsRz5IfrTFZr7i65/4Y8q6ZrC3y9V3PI4qMow3kAnmmzlikEFXM5lN2R0OGaox1lhkHTJy4cH68/b28BDRYOsNd1hJnA+FZi0kQmc4HzKdXEjqCCk1TWjeu0At9QYpA4TSzBQo78FYTFU1cr2W+XxKUXQQUjdU2dCgJKwJblWFRo4y1GaGnK8o7z8gR5NtjTF4Cqmo1xsMBt5cdv3vbVz+AsaML/4cdV6ccyyXywvys2lRLhbxUoZHDEhxmX5ZByZyrXd3dynLkvl8fiHzu8yJjwHs4OCAq1evMhwOUercqcg5x3q9viB/WxQFt27d4uTkhLOzszagRwgCzhu2lstli28PBgOuXr3aFn/TFUqcBIQQfOhDH2J3d5f5fM4f/uEfUtc1BwcHPPnkky2vXUrJcrmk0+lQFAXT6ZStrS22t7fbjDxtHoNz/v5l2CMVYYt1gTgBpMyelJqYQm5xm+ln471xznF2dtbSJoELdYn4u9bBSGSxWLQNXJHaGZk26WT0ZuNtEdwjzq2zECBMk2nVtUF4h/Qhmy16XYxqGn5sY0HXZI9aqYZzHZpXTF2HsB+Xq6bptIOgsS5CgdJYEzK7huaY9fr0shyz3rA2M0Rp6LgAz5TakGWCHSu4s7XHkzv7jKSkIxW2X+CNRKFZdgOHvK4catijWxT44zPMvQmy3pBlRdsM1GY55YbZ2RRTGwb9Hrs720DQr8lEKK6VWJzWTdYbLp2oak5Oprz88l/y3nf/Q7avaJbrDc5bbt25TTHsYVzNeh2y3tqD6mpu3X6cs+++gvBQ1QbnAkXTNwJrzrtQnDWm8Wh1Dfc/SPR28oKNdQjhUFKDNUgawTadBXtEIRqGjQDh8d4iZKPt40D4II2gpaSTZ6xlaBYTeKQPKwNT1zgvmJUlCk8hweFYA7XW9MZj/GKB9BXzB69TuIru7hFVuQ5dq141Vl5vzYjL9BggUigixbvjlz3N5tOMMQ3mMctMYYVYoEz52SlsEoNwbPePARbOs+lYzL1y5QpXr15tO0yLorjAHImZZ7/fpygKZrNZW8iN8EPcnve+hVyqqmI4HLK7uwtcDGoxMMZgFeGqH/7wh3zve9/jqaee4vDwsG3pf+qppxgMBlhrW4w/ZsG3b9/mlVdeITYpxfNMmTNwnp3HEa9b1JVPA30ccTJJM/V4DdN7ll6Dy7IL8fPxGYgCbZcD/Gg0aoP4w4cPsdaytbXFer1u9/22z9xbhx0fOkCtDYVNLRVaapwpcY3RhJRB+Mq7oPyn8oy6Ck0vJnb+Ab6xwhM4hABJ6GoNLkLh+66ECDrmNohPmcbYQaLIOgOUyPBFSTVb4L0lx7PtJe/ev8ITwzH9QuJVQdkdYDt9zHTNOOuy3e/TOdgmywv6vR7r4wk8nNExHqsEGwm5CMXixWLOarXEVnWLBUYOv7Ph+J0w+EyjxgPG1w7IqprT774cCkKdDuWm5tN/8id033GDp598B7eefQqVZ3gJpanxTRu+wyO0ZLNYMjl+iKlrcGCVwGvJprYNW8WDktTGopQOGjRSYXHkMqMsqyBj3MBWgsaOkMbcxFlyHZaYIlSEz7+0QrbsFSEEuMbIxDqcDhNBnmmqhv3S7fYoa0uW5XhTkjf2JlWUHNCavNOlqk8Rdk39oKavM8R4B9EdkLugUPNWjRQPT+GWlKqYZvJpc1DMxuFih2tKiUyDy2VN9YgZX34vZrexeBkTjDzPuX79OgcHB632eGw+WiwWrQDYzs5OW4icTCbM5/MLcEZsXprNZqxWK6qqYmtrq6Uxxs+lq5DBYMDh4SHOOV5+OTzbnU6Hsiz51Kc+xa1bt3jHO97B008/fUFDPk6EcXJYLBYcHx9fMECJdYZ0skwhk3TVEgvbEUtPewBiJh5FvWJwjfclvT+X/4/vxQ5VKWWLu6cwW/rZWCSPTVInJydtx2ucYN/+mTuE4OEdpnagg86jM46qtkgCT7pQirKqkEiU8DgctQkNSN7ZQHCxDfPGBrwX4ajqlF/c4FUm6KlrKUBCXVVBTEx6rBdIlUEtyLoDRCdDLM7YLwXvOjhiv9MhyxW2k5N3x5wYgVh78v6I6WbNcCFYmzp4gQpBx0EmBUaD7+bU3lCvV8xOJuS5Zms0DhoWMlCGBOCtb7plG12cTPPM+9/L/jseYzM549Pff7VRabTs3r7Bv/euj3Fw8yZ4i0bjjcFJgnmFzjEIHk4n7OztUp2c8vWv/imcTimkpJYCiwiftSC8xEhPnmukV/hI/XKBZkqj/SOkCsJrPhD+g3Z6EPiKjCLpHQIDPrCNnG1MtFEYE6z3Qq4eeOoB/QnheL3eIFSGaIrjtbXIRioBJzGmRnZyfK4xXoCxqHLN6Q9eodACq6Cfb73lqpApVzx+cSMuni7xYwYXg0YM7ClLI6X+wUWvUDjnykdIJGbAaYCPDTrdbrctegohuHnzZls0zbKs5XNHCYT1en2BWhkz2xgkY9BbLBacnp6S5znj8bjVZ4mZcwzI8dyKouD9738/TzzxBGdnZ7z88svtKufmzZt8/OMfbwunqUhX3L+UkpOTE/b29phMJnz5y19uaZhw3vyTXqdU0iBi8FE7JkIql2sSwIVJI51Y0+JrvL9vNuLfxWsZtxGPI27PGEOv17tQUDbG8MMf/pCrV68SG7z+Rpm7EOJ/BD4OPPDeP9O8tgP8S+Am8Arwj7z3pyIc6X8DfAxYAf+h9/5rP20fgWIY7PO8CFmjrSzCelSDRessdKsaY8h9gFFrY4h2R8ZahAfjGxlSKYKeipb4JkhqHfTMhfPIxtzDeBDGI11oqffWglRsqg1CKKyF3Dse6Q14eqvHUZ4HG7hhj7I/YjpbcqBHLKVjdDhCd/YZOIW4+5CO8mQKUFArh9WC2m6YPnhIR0mODvYDz1cplBBNcG+KOCpMbqJ5cBanp0ghKPICfeWAo3c8yXwy5Z3vfZbHnrxNlucYHNWmBGqs8+SdDjjPvdd+wB998pO89N3v8J//1/8l/a0tHn/yNi++8q/xSmOloHaBQulqT+UsG2eQeB49PELJpjtVK4QnGGErRe3qRmMHkKJhkip0VlDXJUJqnKtwTQsBBLGy0C0QgzqhGzXvgFR4KfAEiM7YsEJQeYZ1NUIKjAiVGWcsCsFmU1IpgRcdtJZIb6jMmuXxG4y6OYawunirnu0YlFMp3TSLjEXDGOzjSAupafYeA3aEIFJIJQ1EaQE3bUxKMf74/vb2Nru7uwwGgzaoF0XBfD5v/UwPDg5a7ZPJZNKuLFJefF3X3L9/H601h4eHrbhXhJXSY0tZKLFTtSgKDg4OuH37Nqenp7z73e/mzp07bba72WzaY460wjfeeIPf+73f46WXXuLXfu3X2Nra4s6dO/zxH/9xCxGlATelNl67dq29bumqKk6Q6bnFY4+G5HFVFbcVJ63LQ6lzK8C4vbgqiDBWmv3H+wy0k27E/eNEfXx8zLVr1/5WqJD/E/DfAr+ZvPbPgD/y3v9zIcQ/a37/L4B/B7jd/PsA8N81///UIRBt0S5qnld1aJhxxiIyTaYyhAsnbJ3FGovOc6QMRdfg8BMmCuccWmliM5Lzjd0ZAZLxkbvuPdIGLNi6kFFKF9r96yJDupojL3lqOGIHQSYVVmsWzjFdbNjVXTb1hp1+n1W1YLg/Rh6v8FpS5hbbyXDSgRSs5gsm9x5yde+I/rDRvWjO3+HwPrBIkEGrHVs2kr0CaeGrX/gyH7l2RGdvi/d+9AUypbG9DNewfwSCvFOwXi6ohafaWP7oX/0ef/oHf4KuLN5bXv/6n7P/1A32D/bZPzqkEzqeQAi89QgURgo2WF595RWs82QiZOiOKIrW+EX6AJtIKZjPZsGa0HvKusZZS22q5qEVSBRS6mCI7V2A8JvVQG0dlbFY5cArUFmjAGrxLtREvJAonQVfVW+DRr0XmDpYLErZQSgNskTiMMsFq7s/pH8UVDHf0mf70gHE4BHAZifdAAAgAElEQVQDcMwYl8tle20jvHGZbhchhVTwK8Xy08JhhHjSBh64aMhRFAWHh4ctHh+z2Fg0TXXId3Z2mM1mbbBOg/tiseDevXscHR0xGo0uFPvSJqkYqNLfvfd87nOf4+joiO3tbT7ykY+0heD02CMWHrf327/923zqU59qVzIvvvgijz/+OIeHh1y5cuVCdn2ZCfP973//wqR3uYYBtGqNZ2dn7bWLAT1Vy4zF4PhzHGmNJC2eXm4cS1+P9xjOpYfjvYqwzWaz4fj4mP39/b8ZLOO9/4wQ4uall38ZeKH5+TeAPyF8AX4Z+E0fnq4vCSG2RGMo/JP2EXRdwHqaln6HFzY4KxmPd4I8y/GbEtZVyPBUCMLeSmrnyLMMF8ReAt8d2fQhefACKRSewNoIs7dBqwLtVRAeUx6rc7QJ3bAIg1ituK4E790aMVIgRJelKFh7i/eSLTI2zmF7BVJL+guD+N4PccJT5HnQQq9BZzmn01Om0ynXrl+n1+nga08wjnKBxkl40HcefYRrd24zGo/49le+zoPvvIL0ns5wiNQ5m8WG3tCguzkiawowzqOkQvlQYF5PZ3S2hggh2RttcXvngEHtWWzmfO8LX6Db1/zlt19CZgppRODGQ9ChRyCEY1UHf1itC3zt8MJRC8iVx9aNZrZzrFZhskVooruVx1HWJV4EQxApgmpmaR0OhXUlIogoBE56SN/JpcCpnMqrUAit1zhXovs9jBfkRofVhbVBH8eWgVNvPVlWhN4EG3B/bR3VZMpGFW3X8VvxbDf7aQNuzOQjvBEx3KhbEgNGXOrH9yHRPOJiwEyz4thEEwNvDGBpkIurhMhWKYqifT9iwBFiiTLEVVVx9+5dYuNPPBcpJaen4dm+ceMG3W63XXXAefAWQvDII4/w5JNPMh6P+epXv8rLL79M7AiNk1u027vMOonndnZ2xmg0Ct+VnR2uXr2KEMHi7itf+Qq9Xo+XXnrpAnUzHke85vE6pwE1BvYUb4+TbRzpNYp/E4u2qXJmHGkDVZwM432Lq7fLEgLxmsYO2siRj/z4GOhjl+/fRUH1MHmo7xE8JwGuAa8nn3ujee2nfgGAoG/ifcODDvit8yFYW2tQXuOcR2ShNV40n9MqNCo5Z3DOUuQF3jUtyUo1ejAOvGvYM4Ts2ATy+jrzKA/FxjTaKw58yZMi57nBmEMRlBan0rDpZAwGAwYInJNkOK4eHpHVFrdYtR6pUkqkACM8Dx4c43Fcv3Y9qErWnlp5pBcoH1YssjK4yiC0ZPe5J+gWHZ7qd3j95AFbwxFPP/8zHN2+BYXGmID7WRO8WaUHrOUvv/1d/uATn6DeLPkP/tP/mGzY5/bt27zx5W/gzpb0hyNmkxmvvPgdjga73FcrpDUEqbCA7btGVmG1WtHv9ci1QrjQ7St8kA4OX/YSnWlsndAcCVIF1plGbyd81gsacxBwlQkFcYKcchD98uANvjZkWlC5YIJupWI5XyC7JZkqUKKZ+F3I3r2pwNrAqBISJaGqPVpnwbCltixP7iPcTzc2+Dt/thNYJI70ix6x5NSQOmbtMRuPXPaUXZI2JMXtpx2pcNH1J47BYMCVK1fawmkMSlHkK+7z2rVrLf0xbjvFge/fv4/3nuvXr19YYcSsOZ5fzF7v3LlDp9Oh0+lw//59xuMxzz//PI8//ngLeVzOdo0xfPvb3+Z3fud3KMuSX/3VX2UwGHDnzh2+/vWvs1qtGA6HTCYTvvWtb7G9vc1sNmsDbhyxiBqNM+J5XmYwxWaneC5R4ya1SEy3nd6HtDgbs+14PrFwGifz5XLZrg7iZ9NGqjRwx4Cf1jhOTk7+btky3nsvxP93IrEQ4p8C/xRAdfqoZqna8CIDTGJDc4wQgizP8R6KIgc8Siu8cCGLkwprDM6aIEDWBIBA48sRLR+ewFW3PuiR4yAHbSGvQXpHlTkUFUdK8txgzO6gQHoLDtbCYnLJ6nTGqDtAZNDPC9RqQ71a05WaTEucCDCL8zCbz9FKsbOzjxLB71N4Ty0sGYqOg6WrsTJg0N/60v+D3Bny7l/8MKPDXX7+l36Rg6Mjin4Hp6C0oRnLmsAjz6Xmh6++wWc/8Ule+saLdIsCieP1b73E0eM3WUxPyTIFTaZdoDn5yx8gjEUZ10g9yBA4RWCt1FXF/GzGlcMr4D3OGzIVCqU+ySirqsTaMKG2wasx45YytP9XdUnQjg+a/JZmEm+CR5gwNggMmZA4U4ditheMdvbwKOrVhqKfhwm83pAJT12uwDVqntZhsCgVqLBWabQWKGsRqwW2/slek3+Xz3bUBImBIi0qxswuZsKxCSktNqYYfaolnra4x79JNVYuwznpxNLr9bh69WqbAacw0NnZGePxGCllC8vERqDLMgDT6RSlgoFGWgiGc5njFLv+0pe+xHA45KMf/Sj7+/t87GMf48qVK61UQNopGq/da6+9xic+8Qn+7M/+jE6ngxCCl156iVu3bnF2dtZqyUfc/NVXX71AA00ZMc65VknzypUrFyaRGNhTXnq8Lil7Je0PSPnzcRspDRVoM/CUEeO9b+mgq9WKwWDQnrtSqi1ix+ckHmM8lvhM1HV9QWvm8vjrBvf7cUkqhLgCPGhe/wFwPfncI81rPzK89/8C+BcA+WjPV1WF8wET9z4EYCkFMtM4G9QPl2WJsyaoRcogESCcwTkTYJZGjN2Zurm5AbN1xiCbwqsSzVLROZx0mHpNz0ikF5jcI+yaK0Lx3uEew46m9DUTW2Er2B7uY2SXupMhrUBmHjZrnHUMsoD9SykwzrRLJ2sbASCCRLCwgVnSl4Jaw+Htm8xffRW1MaChbzJe/dqf884PPE9vMOT6zUfDOTWGG5mU6KJgvVmjspzNas2/+p//F8TDGU9u7Qd9FVvz4p98nvXZHG8bM2wIMgpWQhkkG5wLFnpeNv1EjUja/fv32RoMyYRsst6QaUvvMKFigVRAIxMspUBpSeYUrgx2d1Vdg2iCvQ3FUF831oXhL0F4nAsqlBAUOJ0zeCUwEiop6W5tU65rnAtriyzTuHKBMyW22gQ4SgXmjBCKTOtQhFUSvCXzIbt/q57tXq/nY6BIR1ymR7GoKBEbg2IaZC5nsTFwpY02cJHBAbQSwikdMAb26EkaM9Ktra228zQGq6qqWK1WFwqjcX/T6RRrLfv7++3+4jHHSeDWrVu88sorLdRRFAUvvvgi73//+xmNRty6dav9uwiLRJXLeE1+4zd+g/l8ztHRURtQP/OZzzCbzS5c0zihpZ2lKTspTgB3795lPB6355k2TKUTZbyeKSMoTrAxoKZUyPRapyyay2yYdBKMnPW4/ygMZoy5IEkRYa64sknHm63K2mvyY9/5yeP/Bv5J8/M/AX4nef0fizB+Fjj7q2CS7ZG44OmJc+HAnMcaS55noXvTOZTWbXYY4IDAu1AiyBMEplzICJXwuLpCCReW7g3XXTTStRrQDWVyI2qsWXPNwXsGOxyqAr9ac2Zr3GDEcGsfZEbHCnaHI7KruyhnGRcFgyxD+QD3WB9s6E4eHmNMze7OduCFOB8COx5bV3gtuPOL/waP/9IH2bp1nU1dUxzt8vwv/yL/7n/yjym0pjZ1CHTKY6VDKoGwhunde3z9s59DWEO30+Ef/lv/Nru9AUMUYxRjmTMwcPrya5y+9gNkZchlwKulD9LG1gVTDSuhxmGFZ7XZ8Pobr9HpFGwNhsFk2wXJX2dtuDcEqpIxpjGsDmymqqrA+6ApE2rC4B1ahQkkZPcQJwqkaMzFZRAh8x5dhPtc1yUeT43A5Rmq18EK1/QkNFRKZ/CmRngTGqia5yfXGiVEMNkWjlzRrtreqmc7zWhT7nOUCIgZd6pjnn5pIz4cHu1zoa0U247vXR4xO41wwJUrV1pXp81mQ6fTYWtrqw06UU7Ae0+v17uA98djPD4+xhjTytKmxxWzyw996EN8+MMf5vr1662E7S/90i/xK7/yKxey2HTycc5x7949PvvZz+Jc0Dn/+Mc/znA4bFcOkcL4+uuv88Ybb1xoyY/XOs2247Vdr9e89tprrb58ei8us1zi9YqTbEpJTaGWtG6Sygykk20MxrGbN10hKKVa5cp01RCvY5zA4/5iHSWFi37S+KtQIf9XQoFpTwjxBvBfAf8c+N+FEL8CvAr8o+bjv0+gin2PQBf7j37a9oFg0WZtq1UuZHD4qesaZyxZN0cqRWWWdLIOSgXHHWHBbMKyXylFXdXhdWg50baBakJbUNA88SHGBj0XKyiFI88lW5XlmdEue1nByluyXDNEMVtWrLsFW1nGIM/o9DtsfM0wz8kAjQctqDBY7zk7PiHTGdvbOyghwLlwDN5jTI0xJQtg59Er5L0Ojz37TrI859kPfoDO9hDhPJUxLMo1XQ2yMfSePnjIi5//Mn/+mS9wejbhscceY+tgn6vXr9EfDvAnZ2GGVxnWSdaTM6xzaAvOEySSpQ8rFm8xPphZrNYrJpMTjLHsjEeM+n0yEewMPaHJy7ZLzRDglYrQQqiHSBmCuPAebwzSuQZyqUNwbSZjvAvbQmIdOC9AKox12DJk4jiHCsScID+QWXLdxZZ1gGgyhS3DMThnyLICoVRrr1coyaYqqV3NT3r8/z6e7TTjS3H3mKHFYBWLl2nWGLXQo45LinXHIHYZdogjLRbGomjM2CONUkrZBvher9e6FxljWiw+Zq4xAJ2cnKC1bl2T4rHGQBSPM+7r2WefJc9zfv7nf57xeNzWDiKGH4/z+PiYL3zhC3z+859nMpnwxBNPsL+/z6OPPtoqP8bzAtqVw2WMOw2S3nvW6zUPHz7EGMPW1lZr0Zf2CaQwSnrPUjw+LVjHn1NBtlTS4DL2boxpee3p5B4z89jMFEXW0mOIz0fcftRy/0kZe/sM/LQPeO///R/z1kff5LMe+M9+6l7fZBRFji1LpJa42mCcDyJUzayOCMHYOYvUGc77xADZI3xo1Q+xNLBnvAuytFkWHiBT20Zsq1mGKYVVEi8c/U3NO8bbDHPFg3KG1z0OBwUjMoaDLe6binyUk29q1GTCQApyJVHeAQ6DYL5Zs1yv2RmO6GQFMmLszerCuArvA4xk7j7kwTe/y/jDe4xuXuO9tx4lLzJKX1PZmm7WmCVXFcppZg8e8n/89/8DxbzkEZuRW83LX/sGz334H3Dy8AE2k1gdRLmwTdXdSSQS2WgVGOdxwmKwHJ9NmEynmGYZvb21zaDbQ1oDrsnKncA6H5rLrMU5GhmB80zDE6AV50KBF9s0YflGdqChcvoG3nFhisVYhxciBHClsdYjakOeSwqlsMYjtKLpMcZ7Q6ffQ7gKNlWouTiFqesA5zQUWmVtSBAizGNco1n0Vj7bRWvUEANSW3RvglL84sciX8yS45f4Mg87fT0GTDjPLuM+IGSmsXgaO1J3dnZa44nlckm/38c5x2KxaCGAOJwLmjDr9ZrxeHyBXROPPw1qk8mE73znO+zv73Pt2jWuX7/esmhSiYIYHI+Pj/n1X//11o6vKAq+8Y1v8MEPfpD79+//COYdA2N8PU4s8ZpMJhMmk0m7Mtre3qbX67VBOO0xSLPk9N/lrD5i53F/6fnHQJ5OAHH78ZgjLBPlCy6vxPr9/oVirvfnRiDpMaWQT9oX8WbjbdGh6p2jUBkmb9QEpUZEKV+Vge6w2dSIQNQL7j7WIKqGL01j5yAdqul09aZZzggZOkJNY40lNEKEpqHAv/b0TcUT3YJDJdjUJXMh6WVdppWll3mOZM41JKoKsEPHe5SQmEbJ0EvFdL3gwXLO9SvXGDqFtBYjLFVfs3t4QH22pLx3jK89xsFoa4+NtazroMiojMesK3wuKLpdMuPZLNYsz6bs37hGd3fMtVs32Lz4fboIdkfbvPZnf8HRwRFVWSO8R+cZWI8TjaiRDfz62gXGSuktZ7M5k8UEV9Xsbe0w6vfRUiK8oKolx/OKYb+g6yuUqQn+TxrjAmbvnQHfBB8lMVUdlBrrKjSWOQsEZoypDViwxiG8Cvx3woQthMF6wcZrKvIgCibBeIP1ILXCuxLVdOoKlWNqT6c/ohIOZw3WOqgtvqyRhcBJQSkMyvlg0m1cuAZv4YhBGs7ZGnGpHXH3zWZzgYMdC3WpxkzM8i4X0OJSH84x9zSjBtjZ2WmzQ2MM/X6/VZccjUZt4IvBKO0mlVIyn885OztrZXhjEIsc+cViwYMHD9rj3t7ebl2J4nnGrDR2VUZD6evXr7O9vc2tW7f43ve+h1KK7e1tvvnNb3J0dNRa2sXVRzyvVEMHzmmSZ2dn1HXNzs5OK3oGIThPp1MGg8GFTDhew7SwnOLoqWtSGkzTgmt87/Lxpfc53f7lvgWt9QXJ5BQWiqus9FzT1clPGm+L4I731FVF0euwqcrge2kaCQEpQRdgPXmmsHXTFeYCji1lyOoDFkxL55ONxoloAlKuNVVtEKJp2PEgrKWD5UhJjnoF9WaJyjsUaPr9Adu9AuksRsBgNKBcLVBS4Bq8HgEOwb3jYzqjAbeuXCMTYQIy1rAuHT/7sRc4vHUTs6n4xG/+b3gtufHEO3jXR/8Bgyu7lOWSTtxWrii0ojyd8ZUvfImvfvozvOd972O8v81GeZ772ef5yrdfx5UOLQt05fjW576MLgrcqiRDBJxchq5R5z3OwXK94XQ2paxq+r0e17cOgjaFc0FuwDqWeB7i2bnzTjbTCdX6lNyZtghcSIU3Bq+DbICNcE0jTSCFxHgTcmbncYhGjjmoedbNa8aDca7J4QWV0JCFY8FZXNNMJk2F96FA7Rt5ZG8FlYesN0RKSYnAGge2RLim/qIEEOAZXxu0+OuWlf52RszGoudpqoVyuagav9QxU0ubV95suzFrTAtt6SQRMd3xeExZli2zpN/vMxwO22A0Go1YrVYX2uHjuHfvHoPBgOvXr18IlMYYfuEXfoGbN29SliW/9Vu/BcBTTz3FCy+8wMHBQRvc40ogyzJmsxlf/OIX+fSnP80HPvAB9vb28N7zgQ98gFdffbU9H+ccX/ziF1vaYAxuKZMo8tujKFmv1+Pg4KCdCFKqaVmWPPbYY62x9uVCZ5pNx0kqOi5drmvEax/vVaqTc5mamnLR42sp5h5XHPEzqVpk+jqcrxJSLP4njbdHcAdqUyOMIiuKUCnWmnK9Du5JeY7drMnyrMkWNxhr0VmgH+XNzcyyiE1qnDEhgDiLbKiVhcwQKqMq6xDg65KxgsfH24xyhcwlXd1jUwcHILMoyTs52bjHplyTKU/uA2WwFIJys2F2dsbuzi5bnS7KgNRQYgK7ZV1y8vCUx55/N857bv7cu9nd3uHJZ57GdUKTiK8NRnpsFiaKN77xEl/9vz7B7MF9ug7e+Oa3eOLpJ1nmguX0DNHNMaZEIelIiaosvl4jjQ0G30LgVAjs66ri/oP7SKkYbY3p9/tID7lpICqC+mOpMs6E4NrTT7FcGoZin+OTY7Z0RuaDcqMQHqFhbQIE450Iuj5C4ZzHuiDZ7BsKq9QKU3tqZ4PdoRLYyrYTLoBFUHuCqblzKOvxImj4I2TTYRyKrt57hPI4L7BOgerQHe2xMg4DwRfXOKQCV1fYukL60Gn8VtrsxUysqiqK5tmGoEseA956vW47RKNRdvw58tqzLGspiemyH84LrhGbj/vM87x1M0rFwvI8Z7VatRj7ZrO5AHPE1cN0Om310mMGGoNRVVU8fPiQ97znPTjneP7559nd3eXZZ5+90F6fwkPf/OY3+d3f/V0ePnyI956/+Iu/4JlnngEChh6z5JTdk/LJY5CNE+a9e/dQSrG1tUWv12uv+WX6p3OOZ555huVyyc7ODt///vdb4a3Lbf8xUMfAnuL3Ee6K9ybVC7pMWUwz7bQ2EieQCE2lq6w4YQkhGI/HbSE4bifWZiJE9GaTcTreJsE9ZO5IgXaOLM+DRG+eYx0he1fBPEJ5G1rQY0t6lgfPUNXgbwS2jXWxkBokZr21uAZ/VpnC1xuG0vHYcMi2FHSdR+UZhdL0OwPWAoq97cDeWC3JqpKBUCAcSxzT5YKel+zv75HrjNoZjJbkWuEqQy4k3im+/pkv8Pi7n2HnygE/96F/gFYaKzyUFiEFxajPcj4jzwu095y8+jqrH9xnR4dsePngIV/8/T/gytN3qBbrUCzGBrxfSDDRH4rG9g4MnnvH91nMFuzv7dHrdkN4MxaLY6kdhZHkDpbCc9fUPP7ce7j/vZdx6wojJcO8S4bBuRob+DQ4mgc/PtQiuF+Ff4FZY02NtzYUS50HL/HYgL1LQWOehRcBnjFCYHzTpCbil0C0MhSeZjtKICVBHsEJlOxgLOSjHSpncGtDRpAoDmblJmD+sQb8Fo00UMQgHRke6TI+xczja1F35HLmmHKt4RwXTrnteZ6zt7fXFuTiRBKx9TR4xJVD3NZ8PkdrzcHBQbsqiH+fdnB+9rOf5bnnnuPo6IgXXnihDVyR7z0YDFp9GoDXX3+dBw8etJj9ZDLh93//93nqqadaP9CUNZSeV4pr3717l/l8zv7+fhvUL08A8f/lcsmzzz7Lyy+/3DofdbvdC70Gl7P8OCGllnuRdRR/v9yJmuL/6YgBO71nKf0yLVrH6x8588PhsC1Sp1DP5R6HHzfe2jVrHB46OkPUFmEcZr0hE4pMqiaAOLJcI5qsLrZHIyVSazwhi6zq4EBkbdMeLwAdHJlEIw9c2gqoKbBc7RYcFpoiE3SkpOcVWisMhr53nJ6dIIQjLyvyqqYyJZPVnNP5GcPBgO2dLfJGF77uZ1x5/zM88vzTlI37j+9k9IYDlrMZpq7Pi7nGkmtFRymq6ZwXP/cl3HyB9I6n3/czDPe36eiMTElG3R716RnrN+6xvvcQaQxKS4zwgflCQ1XEU2OZV2tee+MNpFTcuPFowPEgwBO1QXqH8xarJEbBStb0jvZYrDaMS8eonKPNDCkN0+UCG2IsAok1vi1Gp916gWserrsWoUkL6wKk48Eb1wiGEVYW3mO8YO08LtOoLG8orE0XsbV4G7R/Mq0jQQcITBtPqHegC/LBmGy4hVU5lXGNjV+zWkP8OOWBv9eRdkLGrDylPcYsTmvdZtgpHBMz/xhUU8ekGAwjbhsng9FoRL/fb8W+0nZ7rYORdczwIwQxn8+ZTqeMRiN2dnZafL3T6fCud72L5557roV/tNYMBoMW5oBz1kicCObzOZ///OdbY+n3ve997O7utqbY/X6f2WzGvXv32mw+xfThPLDHiejVV19FKcXNmzdb84oUQ49BNAbDvb29VkYgwhmxBwUuFkFjwI36MSnHPaWdplj3ZegkZvqxISni5fEzaaNZdJ1KoZb4GSkl/X6ffr/f7v/yvlNWzpuNt0XmLkTgXgulGp0UGcTCaLoZG/Ewb21QjLQuyL9IHRT/pEQJjWgcf8JDb1Ba4bxAqcAZFzrgscoYdiVc62R0sUgVDDCUlwROh0WZkr1eFzZrJIISx2Q+o9PtcXW8T0/lVK5GWkflHTff+S6e/Pn3oYXia5//CkIrbrz3WX7mgz+H6HeovEVIBcIjlaL2NT/41kt8/l/+n9z97vfZK/pcf/+7WFZLiv0xZrnCe4EXHm3h9NUfBjaI8QFPF1FRUFOZYH+33Kx4eHLC9nCL0WhMVZahiakRVlNKgDH0rGRiLbXfUFHRlTlZ3qPOLKZas3KO6aJEeI2pBEMhyI0jt5pKi3b5mT7Y58Um22i5iFDv8HUI5tZSOxsmXBEK3ZW31BC8c9X/S92b/diSXWd+vz1EnPnkfOd7q1hFiuLQIouU1IQEGQ10ixbkFhotGOh+kWHAsP1gox9k+MF+sf8AG34xYMAGDMMQLMMC1e2WLLc1uUVIbLVdnNVUkbzFe6vqDjlnnjki9uSHHTvuzmSxqFa3WOUoFDJv5sk4cWJYa+1vfev7NOiADw4pAs4ZlFBxAI2oDWSNRcjIuUFEnnxtPb3BFmJaY2cB6gphAlpIpIj9Ed5HWCZtOSc5b6bly/70gOe4fKrG0+9T0EqyBLlcbaoQ+/1+10zMB2fgKjsjBSDvPZeXl4xGI27evNklgRSsP/OZz/DTP/3TaK35kz/5EwA++9nP8nM/93NdgzTtP+3v29/+Nl/4whd4+PAh4/GY1157jfV6zc7ODoeHh1fOzdOnT6+wQdL3eS9hvV5zcnLC9vZ210PIIZG8UZ0mPJ1z3XBWqnRTEktbrsqYj/i/+719deWUV/t5JZ9DMqnXAS9WJanyTn+TgncOEaWG7nA4vKJbkz5jnjB+0PaBCO4BcO2ko5CtcV4IGOPoj0bx2ZSAUljTxN6p1CRRAWeb6OrjPd41RJ2T9mHwsXoUnrhU95ahs7yyNWW/0BQS+lrjvcBoRQieIoDCIuo1sihYbDY0zrO9tcuw10MHUMGjQqxka1PTK0rG4ylBKl76zKd5+aUHvPqZv4YqNetqw2a9itCEEHhn+ePf+h3e+urXma4b7o6mPPzT19m5e5O333qMtxZaXelYNQtC0+KIcToo8oaUiMwgEajqKAW6s73NsOgjrKMk2vLF6c72XAe42BiKOw8oZAMXx4x7U/Zv3edfPP46QxVYXFYcvPQRKutxqwXr1QJFoBQCaw1SEmGu1orPJNkIPCY4gpLUjYmiYAIMgTo4THDtsURnq8Z5fC9i69E4xSGkJgRHaEXQZACpyyjxq3uxTwCEkDwvJQiNHG2hvadZrlHWU7SBPchW8vl92nLKXL50N8ZcEY1KlTdwpXrNA0seFPIHO6cCJprjaDS6IhmQY7ppX1prlstlZ6aR5A/y/SbGyHQ6RUrJpz71KV5++WVee+01iqJgvV537kjp2H77t3+bb3zjG3jv2d3d5fXXX+f27ds8fvy4q+zzqjOHQtKx5tBFVVUcHR2xu7vbSf2+20RqCKGDa4QQXFxcMBwOuX37No8ePQJgsVjw4MEDjDGsVqsOqknMlNQoTdVcBCwAACAASURBVO+dT4Sm983hmjzo5hh7SsD5Ci1PXOkzp8CeU12vM2ESm+ns7OzKNfxhDdUPBiwjQA96qF6BKDSy1NjgIyul0DTVhmAtpqnplQXD0RAhJErptjkXh5SEiAyNjsYVNQoQDgqpECFQeM+NQZ9dKekTZWel9TghqFSU3O0ho2Ki9Gw2SxrTcHP3gK1QMjLRZm6tY3UYiCqEb37r29j5hqZq+Nl/6/O88pmfAC3ZrDaUUrE7niIax0AXKCT24ROGmwZKSRiXXJwc89V/8oesHz8nLCuE1lH5smx7CkKitMbL9ub3UaJBCMm8lVs92NtnMhyjfIRFkipmCJFdDoFGgLh7m7ocsJxVKKdRqk/tYg9DNJIxY06PZiwaT7Gzy2VwzJVjLppIOW2HxqSIcgXBt+bm3uMEmOBovKMJDkug9g4vJTa84LY31uFCHGKyNuoA+RB7JdbH70Mr+BUxdI/wMXhIIWICb/1xQ5BQ9lGDEarsIULbRH0fsfZ86/f73XRhbjaRmqTe+84gOQX8BKXkW17N55BK/pBPp9NORiAF9BzbT/CMEKJzSUpa7TmOm95LKcW3vvWtzvv0F3/xF3nttdeQMnqWJju4NHAjhODp06fd6q7f73NycsLv//7v8+zZsysmFXniScd0nQ2zWCx4/vw5BwcHHRc8Z6fkScL7KPWhlLoy9JQCdOpFHB4estls2N7e7hqjqUmZAm76/Nchk5ymmv88pynmEhHXcfq82Zu/Nv0+X2GlLcF179aDea/tgxHcA+A81jbYYFiZisrF6tW6gG8s1gasl5ggaUycdrRNFXVDWvcgqUrKYoD3Ms7VW5BorFJYAlZZ9r3jFdWnLAssCimHGDRKaAoLiqjXXgfB5drgreLm1h7BG4yvQXhkv2R05yaNFNQhUKoes9mSx4fPEAK0EDTBsmpq1KBEaMnx4XO+9Y1v0GwahFD8xN/+W4Syz8CUDNSQntBUT45YvfUcjMdJhSrKOMQTBGiNUJpClWhZoIseXmqeHp1yMVtx88Ztxv0x0ji0bTA+sHQC0NhgmIuKw01F8CP66w2iuaA37HFRB47PnyPtBbc/9FFWbsBWWbLDCnP+FtY3yO0bXKB4dPqcJ+eXrCw0DXgTED4GURfAevBW4a1AeEkIkspD5QW1kzjieV1LxdwJbCgILg55eRkIooCgwWuE6EHRpw4CXQ7wQtIIj5OCJvgoEyw1XkDjHYISq4bIG3cw23vUoUBYifwAYO55pZYs01KQzxkaqaJPr8uX+knfPAW1nEOdtqIoOielnIaXV+2pul4sFnjvO6mBXKzr5s2bV+h6l5eXPHny5Mrfp8lWpRSHh4d87Wtf6yiLn//857tAn5LU0dERz549u5LY0rlJ8FGeAAGeP3/OxcUFt27d6hrBKaAmVk3Ct5PmeupPJOeok5MTnHO88sor3eRtURRcXl5irWU6nWKt5fnz5xwfH3daO3kQzoNvnizT9csDdGIS5TDTdTprnuRTvyWH3ODFii+H8HZ2dq6ch7yKf7ftAwHLCNGKeimJC3EApixKemXJZrOK2jLOMSwHiBBVC5WUEUcXQGj56z5SKvvJps95pHN45XChYWIc90YTJoWmDETnHgGS6MsqVar24hJtFRw3d7YjxS+0zk2F4qd+4W9y69M/zuv/5A959MUvMzjY5uf/7V/k1oceoJEgI3VwXBRQNzz8f7/C7/7D/53eaMCH79/Djkp6W0O2bu/TPD1FaUEICqE1JjhU0QPj0EoRpEQUEX9TRYFpGqwWnC1nLM7njHSPV27eiYbUTYP3jrUOWL9iSEG5AfSAp9WaBx//BMv5kvnRc0ZmhN+ZML59wNnzIx4XiqJfog+2ODt+xrjx3DSK6ukFouyzWRkOjy/YGY7Z39qOLB3ZQgLedtz14F1spLY8eNnqyThn20oiNri9FKBUO3MgOj2gOMTmkSJgnUHrXst8UiBkdNxqVy8+tHZvqnWrKfsIPL0bt9hYh1svkeL9pcukAJRDLYkQsF6vO/bMYDAA6GCC6w3CFDRyo+1ULabX7OzsdLIB17H2HKNNsMLu7m53fAm3/vznP88nPvEJfu/3fo8//dM/ZW9vj1/6pV/i5ZdfvgKbDAYDjDF8+ctf5gtf+AKj0YhXXnmFsiyZTCbcuHGDk5OTbvWRmspJSyclnkR/LIqi48VfXl521Mj79+93yTEP7qnXIGX0av3Yxz7GYrHg6OiIwWDAZDJhf3+fw8PDrvLd2dnpjklrzenpKVpr1ut1x+ff3d290jzNA3qebK8H/7Slc5xLRVzvJ+TDSdfF4tI1S69Lq4i0strf3+f4+Lg7V++1fSCCOyEOJDkfCDKyLcbDAd620rwiEEI7ieccwVnqpokSutJDsHjj8CEKj5kQDSXKooBWX9zbDbdVnztFj54IFBHYBxfFyMC3gUMSrKCqNky2JsgQIn86AD6wWK+Z3rqJ2tniY//G57Crms/9ws/Tv7uPW9esmwolNcoLqnrDl/7R/8nDP/oSE+NpLud86Xf+D278xI+xupxHhcVeAVJSKo33kdLp8fTLRI0KWB9H7zd1RW0Nh6fnXCxnfPj2/cjwcVFNsfENxltUAKk8jV9jdJ+Z8dz/sZ9ADkfsTKeonubi8TOaYBkf7FP2ChZHx4x2t/DjHrPzgGw8fVVycXGJ2NnGOMedW/fY7mmwTaep7oNHaomtmtjoDJHrGLzDuCYGcRwCh3AeIaFqGhoRJ0ql0mipKIuSjbcEEXXuAxohWhqlUIRg49/7FjZQqu2rxOZtcJFu6WWB7w0p929SHVt8vXxf26k5rpwe2mRdl+OsOY6bAnwK6rm+SbKaS+Jbad9bW1uMx+Pva57mapK5zslkMrmC7Sa8+ubNm0ynU37mZ36G9XrNL/zCL3BwcEBVVV1zMB3jb/3Wb/GlL32JEOLEaaI1zmYzEu0zMUbylURaWaQVQxIyM8ZwenrKbDbjpZde6hLidUgjfY4ELX30ox9lMBgwHo/RWvP06VOapmFvb6+DhVLiS6sjrTVnZ2dMJhOstdy9e5fBYHBlFZUaoIntk7aUbN5tyxu9aUWSJAfy/kD6mmsP5b2E/N7JVwtaa3Z3dzk9PX1PuV/4gMAyIYQY4AFvLIOyh0KwWS/RUhBClPzVUhC8RQSHxiO9QfgGhUFikDQEVyFczaCQFDKgVUALy6iAl4dDJiEmg0IJXNvgM6YCH4XLpBSs1ksaY5iiGTSenoeipfwJ5/ni7/8hynhu3r3D3/p3/x6DO/tU6w1Bgh6U7Yh+lEY4Pjyip0tGumQqC06/+5hn33yDfu0JdcP+/i7j/oASxbDsUUiFFjL6xQZH0AJRKjam5nw24+Fbj5C14ZO3HjDyAh08xlY0rsHiMLjYWLSB57XlmTMw7rGZX7KaXbJaVWwf3ODGxz9Ms1rz7M3vcePBbbypmT0/RLrA3fuv8KTe8O3NOX5/gJEVkoad8YBSgsDhXYMLBhdMy0yKwmjBWaw1MaF6RzQWiY1nJeL06sYZnJIx8IsovxyxdE+hQCuBEiEmilZtU0oiG8q2RubOEayNMwzeRUllqQiqgMEYsbVNuX+A08UPufv+6u/tPMCnZfhqteow7gRdXMe7c/40vLDQS+yPfCBmZ2enC+QpUCSIIgUpKSXL5bKrGtN75aJmv/u7v4tzjrt37/Irv/IrHBwcsF6vESJa8uWQwPPnzymKgl6vR1mWfO973+Nb3/pWF/wPDg4YDAZIKTsIJ28IJ/590zScn5/z5ptvYozh5Zdf7gJcgkiun8fFYsFqtaLf7zOfz5nNZqxWq86Ddb1e8+jRI+7fv4+1lsPDQ7z3vPTSS8xmM05OTr5vSjcln7xBmq8y8hVEHuDzFVQu/Zt+loL6dd/Z/Py/G/6erxbSaqPX6zEajdje3v4+2uj17QNRuUspIotCytaeDs6Oj1FKsTYNuoyqkb5pkIRWvtcRvKPrOQWPNTWEKBPs6hrnPIKYAPamQ0ZEPXSvBV5Ej1UVQMs4qemDxzlDVVfsHtyITA2AQlGrwKpquLicsXmrz/r8HLmzBb2S0FjKUlP2SuzFjJPTI7bv3aUsBvzsz/9Nfu/ZrxMKkI2haALieMVbb38DCcwXFcrGxqjrhcjJFxKrIs/bNvFGPjs7wwP37t1ljGIQJJWtWLk4MBJ81NMZCImXgbNVw/RDH+HO/Xs8+vqX6a8MjpqNGXH07Amj6Yj9/T3Onj1nM5+hxj3UYsPm8XM2ZcHO3gGXywtEvWavV6JHJTQVitCeqzjUZJ3FOIcP4J3Bh/YGbf9DEKt7JfAelm3VblszD0n7AHhHIOrFSyGQUiFUZAbRMp+0VrGfQgzoRdHavYVWz8PHtrEFRNlHT7cZB8f5yTvXb7kf2ZZw1LS0BjpoIAXZvCqFF5Vajqemhl8KIHmFmUTA8mGY9O98ZD2N4eca7ClAGGO4uLhgMBhwfn7O7u5uR0VMYl7z+ZyTkxPu3LlDWZZ8/vOf59d+7dc6Bon3nvl8ztHREUKIroq9XonmgW8+n3cc9wcPHnTHXdd1Z+Sd9xgA5vM59+7d48GDB3zjG99gs9l0wz5Pnjxha2uLg4MDnj9/znw+7zTinz59SlEU7O/vM5/PMcYwGAy6xmp+/uEFpp4zYnKWTHptOq7NZvOCzCFf6Mnkq6MctklbSnS5NWA+y5DDdKkYSBz/NPz1btsHIrj7EGhMw3i6RX8wpDGR36kLhXOGuqooC83aGbyz2KZCS4E3BtNEHrxURDNlayNLJrRVvvJsIXhZ9RmWiqCiBo0XIjJKlMQFj1QSqSS1tciyACWoiQyQ1WLBwm4Yj8fs39rnY699kvVmwWh7TN8HjHOEnqY6PeOf//o/4s8evcHf+0//Ab43oT/oU05H1JcrBoWmF6A6nVMIB6XCCY+0UPQKNt4RtEL4wHpTc3R0iLOOQa/Hrf19Bv0+rmUN+RbCQkbKoEYjAsggMN5SyBLnBG40QO1NMWdnqEuHVxvOlzPcoo+SsDMd01xcMLq5w+XFjH1RUq2XaOEZOkEvOHSzorIVQYExDiEi19wkbQ3r8D5E/X0fJQdscC+wdRFF2moRmDlLrSMLSAhNcA6hJaFVruwVBV7KKN8ryR4QMN5QlCXGOhACISR1Hal6QikEDu1ClDdWUbdGD7cQ6v2r3lNQnU6nDAaDTmcmNdSSCmBizSSThnyq9foATs611lozmUyuyAXDi6CTAkfaZ16le+9ZLBbUdc14PObWrVu89tprV0bevY8uQufn5/zmb/4mb7zxBr/6q7/KYDDooJDEmgG4uLi4shpIvPsUnBOEc3h42DU4b9y40WH4uRFGCmp5JZwqae89vV6Pra2tzlJvvV5zfn7eyQlvb28zm83Y29tjPp/T7/e7ZmcaFEtMmZSMcj58zmG/zm7Jk29K4EmiORf6yoN4klnOk1zeiL1u7VdVVXdd8xVTOte5Ds27bR+I4B5CQCqND4HlatmeOGiaql1yR9ONQVkiUTgtEHgaPErGB9faDRCpjcF7BHHJpyTcVD3uiT5CekSh0bRuM16gSoFzbcXnLcv1itHWNrU1HC3O0cazP5ny8sFN+kVUP3zy5nf50Gc/znI+g74hlJrD7z7mS//Lb1K98xwRat7651/l/ic/ztOH32WgFbJQFASsjbIDygdM8HilKApF5S0XtmY222CWG0ok26MttqcTgrWUUmI2NT0E66YhFAXCRz0WgsApwVmzwQlBwDHtTzGXZ7z5jRW379/h6GTGxHlKam7s7eDOZigJF/UK2StZvb1m1O8xn50yEI6elQgbzTgMkZvuTJyw9SK0Tkut8JJULdvJ4nybPIPAeochJs8QPEvrWAP0SmwIKGdRKEJwNM5T6j7excYsBQQfpZyVUEgdeeteJK2ZqGHTK3s4FzVlpIBCSZraRKliqQnF4H0P7gkmWS6XXVDI3ZlSkAOu0APz5Xo+2JRel0bpE30y14eBF5rgEIPicrlka2urY5d479ne3ub27dudIfabb77Jpz/9aebzeZeEHj58yG/8xm9weHiIMYavfOUrfPzjH+c73/lO93cpEF4fw09Nw6qqWC6XXeCdTqfdsSRoJgXbHAYBuqYpxGQzHo9ZLpd885vf5P79+11CEUKwv7/PYrHoaJRFUfD06VMGgwGLxeL7qJbvRmnM5Zlz3Zj8NXklndg7qWGcjjuHltI0KryQaU6JNx1T3mdJcsU5Kyodbz4P8a8U3IUQ/yPwt4HjEMIn25/9l8C/D5y0L/vPQwi/0/7uPwP+PcAB/yCE8H/9Bd6D4WiIJ1BXFUW/xFqPREboRUDTGEJwSKIJhG0qBOCMBRmFwWSQOGfahXzEnvvesD+ZUopo1mG8JwRJIFBIganrbmgKKTCN4eL0FKkL+oMhO5MxE1UwEhLZWM4OjxgPC1SrYbJYryjliKPH7/D8O9/jYDhgGCRf/r0/YHZxzv2tPYbW08ZggmqrMC0JSrJuKi4WG1arNRsZmGxvsbu9xV5vjBBgmgYpBFVdI6wnOE9faIIP+MagdMncOC7XK+588uMU02E0KPjuI9Ryhmg2nHrB9MZNLh4/RouAGhbMVzN2egNKrZivF/TqQKNr+qVEtMJbSipqLE3wkalibNvYbhBSYJoG5yygIpu1NeKwARrvsSGZm8fKZNY0GK0JbatHQDdspoWKKqAicvKFjkYrqFjN6rKHS9PIZQ/hAiGA8fEBcd6hZVSJDAJUoXGuHWL6AayCH9W9nehrSa88NQPTw55LOeS0yVRR5rz2fAshdJZx8P2NtySXmwJZalgm6d3hcEiv1+ugoePj4y4IWWtZLpeMRiMeP37Mw4cPO0ekP/iDP+D8/LyDd/KhmlStCiG6gL5arbpp0Z2dna7xm4JUon2mxmI6J1rrjl//sY99jNFoxGaz4c033+zkGN555x0ODg46WYLJZMJisegMsNOAVaqCU3DMV0BAV9GnY0r89/xcX4dXctbSer1+V/ZKntzzhJASYTqunEl1nfeeEl5OV80bsz9o+4tU7v8T8N8C//O1n/83IYT/Kv+BEOLjwN8HPgHcAX5fCPFjIYT3NLEUUmK8w1uD0mC9wQVBT5YIb7GmxnsHIuCCwxkTg4F3SG9xOBwNpQsoHyciA47COW5oyUBDpRx9FFoWWOsjOyUQJ1uViqYWTnCwtR2t/ISgp0oK55HBsWo2nB4dx2GkyvLlf/olRvfvcP+ll7n3yof42Gdf4+E/+zLi+TEqgDCW86//OQtVgAfnA6ooICi8NRwuZszmMwSwt7vPwY0DBr0ewTn6vThhWjcNQcRJzuCjPkyczI349EbC2WrJ+M49bky3WG42LI+es71/g4/89Z/mre88pDo5xy9n6MLhCklpYPb0OQcPbjFfLrCXK+7JHqr0UU3SBIKRIEUcRLIGqRWNr3AyKU96vPXoaFhI4y0ba9tAHqiJA0yRwB5nbDfes/QeOWqbWB5siBCPQiFcO3UqCnRRRG6/CIRgkVLH6ryIdEhj4iSrFyEynUSINNAg4xqjp/EENApZaN6DCvlXfm/nlV+aRsyZMimwwwtt9hw2gasDLTkdbzwef1+l/26iZGl/Ozs7V7jkaf9VVXF4eMh0OsUYwx/90R9x69YtPvShD/HKK6/w2c9+ltdff52zs7MuqL3xxht897vfBZIMRtFh7+fn5x3vfH9/n5s3b3bQTPqac8FzdknOEDk7O+PWrVtMJhNWqxXPnj3j4OCAn/qpn+I73/kOZ2dnLJfLrlEJUaL43r17LBaLLsjn5y5PrImCeV0uOZ8JSLBNjrlfH1xKr0lSDPk+8iR+fS4h4efX74d0HGmwK28qp9ddb8y+2/YXcWL6ohDi5R/2unb7O8D/GkKogUdCiIfATwP/7If9YdNYlIha3iEIlNB4Z6PyYQDpfWRjeEdPSkxVIUPAO0fQADFguOARSiJ9oAievf6IoZQUCLQPqHZyUwdQSuJDi+cJOiu8pEsSgkMqhXeOellx9+ZNxuWA882G737lG7z5j3+bf/Pv/h1293eprOHVv/bjPDw5oxcEqm4Qy5q676nxDIs+pq45W8w5Wc3ZGY24uX9AoTVaKQqt8KaOCpPNhto6go8UTGU9wjp0IamDoULgrODMGz76c59jPN7hy1/7KnurijtNzenFI54vl/QHJWtr6BnPqjmnt7fN48dvse01i4s5SgPCI0ID3kS1zQDOW/BJwsFjTZTwdaHVcpBRqTE5IJkQ06sTAa8E1rj2gfCthgwsmoagdJsc4jUXIhpr+8QIKEqEpFX9FAQfkBTRmCWqo8XmbGvmQoiSEoGAlgIliPRWH/s4cQQiJpf3895Oy/z8Ic8x8Zx6l6ZW4YVCYAoUOeddCNEF9+tBKQX6HPNNr8k51SnAL5dLbt++zWAwYLlc8tWvfpXHjx/zy7/8y+zv72OM4ROf+ESnK2OM6SSLE/Zd1zWXl5fMZjOm0yk3b97saJB58zgNcV1vSqbKNP28qio+97nPMZ1Oef3117vXvvXWW6zXa4bDYeflenp6ytbWFo8ePeoGlK73FvJznDc2c2nf/NrkCTfH2BMDKQ/wm83mygxAem1uq5dX23niznWaclZTfgxpX3nln47tr4ot8x8LIf4d4HXgPwkhXAB3gT/NXvOk/dl7bj7EEX6JJ4RopKGUILhWQjY4tJSE4LoHWouomSJFuqnjGHzs9jm0c2wpzY4uKH0Uo9KqiAwYKfDeRB0TIaPCbAjgLGVRUkrdVkGGzWbFaNBnexQ1rTctb/7i6SH3+iPe+vLX2LuxTxj2OH3yDkJKsLGHgPPYdYXsFZw1c05OzxiNRrx0+w6jsiQ4G4WxvCPS9S21qSOLREtUkOhWzMyowMY1OOHQaLRQbA1HHB8dMQ+BO/duc/iVrzGSggma0+fPUKMByll0WVBVK7Aj9u/chNWaYlEx9gEvBI02bOyKflAE02pSh2iIolWUC7DW4WxkJ1lrosuSkAQRsfVkmm1DDKwQMfOgJXXwrHygGA9AFzgfxcTSilLKWHFbb1r83iBUywBy8X2kjFRYG8dgWxqdpjEmDr81DaosI35rDCGAkIqirX7er3s7LcuvV3A5rS4PAmkpfh1jT4E7Pcy9Xq+rShN2m1eK1z9zCJFfnnBaY0wXJLe2tjqGSqI4bm1t8fWvf52bN2/S6/V45513rsAuCYro9XodtTCZeqTqPA8+6fUp6Kb/E9SQehCpgh+PxxwdHdE0Dffu3ePP/uzPGA6H3bRr0pgpy7KDj27fvk1d1x3Mk/j1OYaeVjfpuiSIJME8SS89Xad0fHnFnq5PqrpT1Z4SVB5wU4LJr2sOtQBXms/pHKThrqTRn1YnuQ7PD6ve/7I89/8OeBX4NPAc+K//ZXcghPgPhBCvCyFe903UKffW4k0DPnKY8Y6iLLBE+zZjLY21cZEtBUJLhAQlW832NiuKECi9Y6dQ9PAoiCJbeIwz+OARWlI7Ex1+QkBLiSTE91SSQkmktYwGfUajIcE71k3Fpdnw9OIUqSU3JlPKVc23/+mfMLhcM2o8KkQqXi0DlfSRCbSpePb8GeWox87WFv3G4zdROkF4SyHAbFaEEGWBnTVIY+nbgKgdC+d4JxhWu7uY4TbKKwpvmFYN7ukR8+NjNBK/PeFEAN4x0JJ6vWS+mrMyG7x3+PNL3NNj+nbDQBhUqLGu4tnJEY8Pj7ioayg0xkVtF2MNxlmMiSPZEkGwDi3Ssj5QJ1cbH63vKmsxPn7uIKID08oYKqFwIg2lvKgk482eCDVRFdJ7G42uC40Scdo1JhTTJmkB3tA0GwQe7xyqKKLph4CgJBQarySuFaJ7v+7tfNAo50WnwJT/Lh/SSQkhH+TJg0a/379SjXvvr5g45BOUOSafc+qHw2HXD6iqiqqqOD4+RmvdWeX98R//cUfxS/vLK8/NZsOzZ88YDodsb293+0oVr5SyoyrCVRgqBdXVasVgMOgkC9L7nJyccHp6ipRR/jYxaYqiYLVasVwuO5bRbDbj9PS0+/wJPz88POTJkyddYsn7Gen909BYwsETrJWzZ1IQz5vbiVqaJ7BUtecJOk+66bMnFoyUssP384Zq6pfkEgXp9/nw23ttf6ngHkI4CiG4EMcD/wfi8hTgKXA/e+m99mfvto//PoTwkyGEn9RlH9/UFHiwFhUCzjQQHI1tEEURqXM6aomgUqXnIpe6006MN0YhBQMCe0WJClFWwHiLVwKhFC4ELB6hFUpJlBRIESi1YNQvcaZmvVoggqdfajbVmqraYPGcrOc8vzhlf28PpQUjKdEXS771f/8xJ99+EzNfYp3FETAC5r7hnbNjtoZjbpZjBsYTrME0NcI7hHc09QbvXKT2WYvUJcZ6mtrQOMtZtebl1z7FzY9/gt2XP8qTzRorPNiGsTGYR09YnF8ynexxWkdIY1NXbITFKk9JYNgY+uuKm2XBtnP0pGclGh6vzzijYbCzC67AmkBtTauoGHXyEaIV6xL4toKxvlV1lDJW9s63kI5v4RqwUrBxlqVxhKIX7fIyOCLVlt671lQ7+uaKAHgfV1NtezxBCPHvopyBoMWgfZRBtsFTWxcZQ+09YoKHf4nK/V/7vX1NuApeVKmpWkzQRQ67XIcP8kCegl2Os+cc9xTg0muFiCJdg8GgC6aJDrjZbKiqihBCV4Hv7+93SWC9XvPFL36RN998k+VyeaUybZqGo6MjxuNxZ8hxHU9PwTcFw8SeSfDMarXiU5/6FB/96Ed5+eWXuby87IJpCIFnz55xfn7OdDpluVwCdMebzkcKmkn7PEEY5+fnneJlqtBzfD3h23nlnJJSnohzRk1KavACnsr56TnVMZ2P66up64k6l1hO90mq7vO+RL66Sft5r+0vFdyFELezf/5d4M/a7/8x8PeFED0hxIeAjwD/zw/dYQiY9YJ6uaAgoAWIECuyECJv2QeBVgVl0ev0Z9hZ7wAAIABJREFUX7QuCcmNU8bGLAiCNUyLgi0pGZZlrFqFxDgPSJxNyysidusdEkepBaZZs1hcICWMx0MuFpc0tkYGjzMNl7MLbh/cYKxLRKkheJT3uM0G19QRWrIWZyy1MTw7PWL/xj67ozE9GwhVg/UOJQWb5ZKmrmKzWMKqqgmqYN5Ynq0bnjYbVjowHvU4e/SYpw+/x8pZxO1bnFiPUwppDVPvefL2I1azBeOtPd65POdstWAxXzBAUDQNk0Iy0AFtDWHteDQ7443VKUvXsF+OGVNwspyxUYBSbJoaRzSq9m0iNc5iQ6D2nrWxHF5eUoXA2jnqECKrJkT+vSFQ45mbGhNAlv122Eji/QscXIgXEs8qafyEVubYebxPTVOBdy1Oai2uxdrThQxeoGUZjUNka6ROaD1V/+K1+7/2exs6Wdyctna9WZqmD9OWGqWpEkwPtHOOwWDQTYbmy/ycUXN9cCixZxIdcDKZdN6jIURp3yTSlSz/0nGm6ja9f6p4Dw8POTg4YDqdAi9YL1LKjuWSPmdik2w2Gy4vL1ksFoQQpRjefvttHj58SF3X7O3tdRh2gj7eeustFosF29vbHB8fdxOpKYgnvneqeI+Ojjg+Pqaqqk76OCWNxOJJzcm8Kk9Bva5rTk9Pr6yockgm/U3aT4J/cugtf236XR7QrzeS89XM9eAPL1ZzedX+r9xQFUL8OvA3gH0hxBPgvwD+hhDi08Sn5jHwH7Y30r8QQvxvwLeI6MR/9MPYBPGDOmSIlMdgHd5KyqLEmNaNR5V4U+Nbp534NZDMsH1wKF4I2GspGZUFfSEic6UscYBWGuFjw1T4KFQWXByA0kpgTcN8sWAy2SLguZhdEEoVoSAbWKxXTMo+O70het1Q9Rx9GTXVrZS4YFFBERpPIz1HF+fc2dpjS5QoJTHY6FDk4kAOhBcsIC/wQnF2cUEx2eKVv/6znB2/w9PvfYfbvQH9ywWH9Rl2Mubg/gMOZ7GKKpzhtJ5zWVdYrbhz4w7zzYTN+Rk35ZAdrwhYKuWhMUgb+M5igXENW+MBg77EVjVPz47wowGzak3ZmKgXryMrJocFDJ4qeIySVATcZk2vV0QJX+8QIfYwghSs6oplVRPKES2xte2TiOirKl5UpUG0vHYRXyOUhxaaQCqMjYwha+N0rC6L9kHSCKkI1hGEQ0oBSHxwkRFlf/Dt96O4t/OgkJpnOa0tfZ+qtBzjzQNDureTjG5iUiQaXa4AmTDZhDEnjH0+n3eB+OLi4gqGu1wuGQwGnYkHvOgNwAv99xSUTk9P2d/f7+CFpGaZkkF7zq5UpKenp4zHY37yJ3+So6MjHj9+zGQy6YLpdDrl3r17vPHGG91xzWYz5vM5Qgju3LnDcrnk/Py8ayZ392X7/kdHR3jvmUwmnSn58+fP6ff7HSUzrWbyyjh9zRuly+WSfr9/BTJL17Kua9brdXfe80Z3+rx5Uk7XMl2T9PMcKsrvify+yRNB2lfOdvqB9/d7dVt/VFs53gp3PvlzFEq1mt+KIBRIhS5KRHD4usbbGiEibi5aGzfn1mglMVZg8BS+4TaBV3p99pRiUipUqeMgixAEF9BKoZSODkXWMuj16JWa+eyS4WCA95E1Ir1H9kqslEilOTw+5uaNG5RB0BOCdQ8KI5GNp9fv0+AwAlbGcHp6xoM7dymloBAx2AgV2tVCQFaGQpY0UlHLWK0G69EH++hbB6zmDVu391iZBU++9k1eDkMUiuMtzf6PvcrsreeIZ6cMlOCEiotgqIzlYLjFyDeoICi9pCRgbI3BYz2cL5Y8X1+yP5wwEAUb03BZrxBaMRkMCZs1o14PrRSmcWjRcscbCwGOvONkPmO6tcVmtaJQEq0ky3V0t5FesgyWC1dzslpRBYUYTPFFnxAMWkb+ehL+EkrGqpyAFj0CAqnLaJ8oCyhKnNQIqZGiiKsJpVGiiIwaJRFlgdIF3sfE4LMGIwKef/EfUl8cvy/6Yf1+P7z00ktXHsYcKkmBKZ9MvR5QUzXX7o/t7W3Ksuxw6rzKzuEY732nA355eclwOLzCuEhYbpLtvXnz5hW8PwWj1LxMgfv4+JgHDx5coS+mBAQvOOrpfSAmq52dHXZ3d5nP59y6dYuqqvjmN795BWJ69dVXefr0KWdnZx27pq5rmqbpDEPyc5jLMsxmMy4uLjqdmARBKaUYDoc0TcNgMEAp1Z3vHKrZbDacn5+zvb19hWKZ4KB0TTabTTcVm/aX9zrSCi0dY968TZTRvArPeys5vCaE6K5vDhXlOP43v/lNlsvlu97bH4gJVUKg2ixwRXxIXbCooofznqaJVX2wDZJkjh0xRm9shHRqg1A9hJZIA/0ARfAEpaLRhY9DTUJJlG5PHAG8Z9SPVfXZ+Rl7u3usFi8m4QoBvhH4smBRr2ODrm3ANs5RKhWpmoVibRtqYVnUGy7nKx7cvoOWlgj8RDNr6aK0rWksx8KzWs8JSlNsj2kWCyZBMqk3PP3OG9z7yI9z+NbbDAcle7fu8PbjdzjoTwizmvXTI1azGetqiVSwdhVIQb+2DKnZ6UUDk8oaalyUYfBxanfQK7nb38GuGzZmw2yzpj8ZIUKgFwSD0RhvDb4xSEc7fCWpJRjnEUWJsZZNtaHfK8FZms0GrTTWORzQCLhYV6wdqMEAoVuuuYgwiRItDzsQZQaUQkoVK3DvY+XuJcgIzWmlo6xwsMii1ypPSgSSsigwwmNcAyFqw5dJoMpHvaD3u4DZbDadb2hqagJXluLp3zk+DRHqSAE7r95SAMiZGNf1SlLgSVV27huaGnla625qNFWeibYohOiCpHOO1WrFfD7n/v37V2CfHEtOeugpqCaOulKKwWDAn//5n/ORj3yEx48fMxqNuHXrFk+ePGEymXSOSwm2SceYVgZpAjSdl3TOUtWdpAxSc3ixWDCZTLrzlbTbrw+J5TTEFLyTgmTC1HMMPomv5fZ9Kdjm06d5lZ6CfI7Lp2ZpgoUSFJe2tCpLK6HUUE0wTt6TebftgxHcCUhMHE6SfUT70CtV4Dw4PEpEpUXvTYRvnEGEqO0tZYQFhPOUePoKtAxY12BEDyViqzU4jw/Q0wXCO/r9AudqVssN0/GYqloTZEvhk1EP3tsGoSWbzTpWDkriXdSCETicDKy9Ze02VPUGu6l5sH8LFSwueEqhKYOiqg0L65gHhxv0YGuXezduM+gVPDs7Zri/Ta82nB+dUJSajTRcHD7HoNBbA9TemLePzrk92eHo4VuMb+wjJgNMvaawgZGXbI+3UAFoAk2wOKWoTYMIDhk8MniGKmrH19aAlIzHA4xpGPZ7lN5FiiNEKWRZ0ARPHTwXruHZyTGT4YTJqIcuJMEZsAZ81NMXrR7P2WLFKggYjAm6R7z/IivGOUev7GGNwZMEllTLiY8OtgiBdaaVMQgEK+OgmQJdBKyzeKIsQdM4QqFQ7fs467BEXnwQxGT+Pgb39PBdH0663niDF5V3Cvo5XTAt8RP9LVHzrlvWJTndNAmbeOfJSCNndqTjWK/XbG1tXZHkTZsxphPxquua27djSyK9d5qyTFLESdTq1VdfpdfrcXx8zO7uLs45jo6OugSXWDnj8ZjpdMrJyQl7e3s8evSIvb29rvmbAmaCk1KlnqCRdI7T6+BFQzLJ+SZphzQ/kDeuk75P0nNPssEJJslxcWttJziWKuq84Z2STw5r5TMN6fynlU1ajSWILcExKSmkxJ4fz/VG8HttH4jgLqAdHbd428SJRNO0FYbCBotznq431nLchXdxCEeIyHghoL1hWPSQwbYGTwXWeaQUlFojRQBvUDry6meLWauvbbDOgYz0yrqOps0yXbRCc3Z6iplM6UlNrTULs4ij9tahRWDS7zHZ2aUMAhkUlQk8M2suzQV6MmH37h1ubO8iUFyennLx9hMoSyY4Fr6h8i7Onm4q/NkFIViWZsPm6RnD8YiypzlZXLL2Hr9ZQtPQry075QjhDNIbUJILGzhZrlm4BmRg0lPslQW6sWih0CEwGgxYrqMRyrDsoz1I5xCIaGStJGtvuVyvEb2SxnvGky1CUzEYjqiqDcL5KL4miROtznJW18ydQ2/tEGSJEApvmiiDLOLy1Nj25hcxgRIkSurIaycQrEfoIlJFhYTgESJKHDSmARH19yUCJQoaY4G4D60lwbVqlN7HVd37KejO1SnVnHKXV2CpgszZH6kavI61pu/T6/KgnypQIQTz+ZzRaNQ1BNP+0gBSOpayLDk5OengjKIoOvGwFFAGg0EHi6RAtlqt2Gw2DIdDbt26xfb2NhCx9SdPnnTen6vV6spK5PLykjT8c3l5yXg8pt/vc3Fx0VX96ZiT7ny+2pjNZtR13R1XgpvSeRoOh6xWK4qi6AJ7CrA5jXGxWHQBNU3nJm35lPxyyu5yuaSuayaTSXcu82STYDV4EezT9c/nFa6vwtKWgnkO5eRCYkkmIqdLvtcMxwciuIcQ8DaghEZFVjrBB1xt8MIQpKAnWhgmEqIpdIm1Nc5Fw+aiKLGmZigFfQKKqENivUdaQ6k1wSdfx5JCKS7OzygLTdPECkC0DTitC3r9EuFiw1ZJGA5K+oM+AkFTtQYgwjMajNlTmp4A4RyiLLgwDRtf0NveZTQdUbh4A5yfnXP65BBXWXRfMsEjVMEIhSFwauooa7tpmH33MfN6hdTR43VxvEaWBeVoyO50h8XJObuyYKr7OFtjhI8KkU3NdzeGcx9YeYeta/qzNZ+6e5ehCwRvqOo1NjjKQlNoFQ1QbPRGdT6Kmc1Nw9Fyjglg1wvGus+06MFIYpoaJYlsJqIVhwmeKsBpVeMHQ4zSRGY8KKVb43OLcT4mYRl/J9KqyntCW4hIpeIsgoz0yOAcIXa9UbJAqhKCBAfOtg8NBqSL0FF7X2mtX7g7vU9bWn6nKi499ImXniq2nJeeY6wJ903L9hynTftIjcW82Zow67SkT5huciVK1X7af3KCSoNMicmSkoD3L6ZnQwhMp1P29va6z3J6etqZZOQ4ccK3k+tUXdc8fvz4ipxv0rsZDoccHBxwdnbW6ZbnIll1XXN+ft6tIhLE8uEPf7gLpIljXxRFd17yadOcsZNgpH6/T6/Xo9/vX5lYTecoVc3L5bJTk0w/zydh0/tcnwrOm7i5xELecE4JOofb8l7L9QZ73mf5QdsHIri3VGasax3tpYRWtleIWOGJINBtw7XrdANCRru1pt5QysBYagrrKUpFHTwhRDkDKRRKiFYT3HF8cU6vLICsYmorvqap0UrjETHItK5D8dgU42GJQLAjenHfjUcHT9CSeXBcDBQ3X/0xmoVldXzGsDZoaxhqyZm17H/4HsvQUM/OmG3WjIwkULBZrClKxVZRYlxgOhhC8AxKxWK9pHIN1dwwbBx3e31KH7CuohIO0Suoa4NbVry9nFENxsw2FcEYhnXFfFMzEBrnGpQUKF3GBrN1BOex1uOUoPGBdb2mlrBoanQZzZaHZY8eisrFYOGdjYwXqbBBsPFwVtXURR/ZH9J4UKUmNj0USpXECWMLzuK9TWQZhBQIJDa0wlEict11u28hBM46JCpOrgYBQaB1rNqFVpF5E3y0TezwTYf9IW41P6otVXj58hxe0OVSgM9ZHHmFppT6Pm/UvLpMwSFBHmkgKC3xU+WeqvbrQzVAx59P36f9p+cjJaNXX32V1WrFxcXFld8DvPrqqx0zJw39pOo9ce2ttZ3ZdWpYOuc6emQOwaQmZJqoPTk56QTFUnWfTDvS+c39WfPJ0gQxpVVDSpbJmjAlwnTM6dqkwJ4mRxMsk3Ptc5z9Oh0yr8TzeYUUqPNrkLbU68j/Jm9aJ5z+vbYPRHAPhBZeiV9DiMqNQqoY3InBpNAFSqQBpKgF450kWIcUEhksPaHoEZ91gUSKgKT9vw3u5+dncVmsY2UTvMd4H1k0SJSIOiVSRl/WKE/gIqwjQRKbfNoR5WcJ4EKrhaIYDiacPXnO8skxowDT6RiNw3vY6ResDw9xo20oRhzOL9mmYH65oBhPwNQMC8XT+Qwx7bOez5hu7bA/HHG5XjLpD+k5h7YVVoAXHuU8srKgNCebNevNiso6NpVhoDRFEEjvCTQQPGVZ0DgTaYIuIILAIbioDZerJdZYdvb22BlOqeqaUX/IuqnwRWz+WGdxQuCJlMa1dcytZ944/GBCEJqy1zIGtCIgo4EGIrZBC4kzsSKPVY9HiChBEUJslRZFSWMtQpUooaL+mI8Wi6KVh2hMHYfSfFsUiJgQUtUlpGwtFN+/LQ/iecWXL8nTcE964NMDneOvcNW1J1+O58H97Oys+z4llLyxl/Z9HRLINWrS+11vDqZA+PTpUw4PD1FKdT6sIYRO7yUpTZ6dnX0fUyf/93w+73jyi8WiC/gpEaXzl2Cs+XzOarVCCNEF57SlgJrsB/NhqxDCFYbL/v5+18BNMEzqUeTzByGEjq2TDyul6v36LEFiQKXZgfwc59ctJas8cKeVWj61+m79l/xa/P8Dcxei9cqMD6i1kYqo22VVtOYMOFODVohCtq5JNnqcCokUEmUCGoEMITq0KYDQVt2eXq/sllZK6zh9iYi0SBUr+k5ljzQ8En/e7/fwweGsRRYCKQVOxGavlJLgwRtHoQLFPMoUFDsl64sZh+crDoZjBmWJ8rE3sHznHD8tMFYycwbV62Gbhq1hibcNQYIvJUYL5rMZd6bblL1hDJCFog7x5i28oG8CUsBSWmy/RF0afN0wVD1KY9gbDlqz7iq6HRkXZXVDnBloXODCGs5tTX97wvLolHq9YavsM5YlF6s5S1MjfcPUS4x1eOkRQtIYR9Als9UcIwu8KohGKREeCbL1yJNRkVPhCK5BSqLvqfcElwbVPFJIrHUIb9DtCsY0TaTEioD3FoLD2baRBpRlQZ3G2n1AtUE9hKjx/l645I/k3s4ap2l5nfOjUxWWWDH5Ev965Zf2kR52eEFrXCwW3QBSjtWmIJE3SvPAk6retN+ECeeVZfpdVVWsVismk0nnzDSdTq+YhRwfH3cVesL0E1adVicpsF1eXrK3t3eF1ZIPYqUgm+CedK7S77a2tq5oqKdqP52nxH6pqorpdMrx8THr9bqjiM7nc6qquiJBkM5PCrDJQzVviKdjTYkyT8i5HWHOm0/XOkFcOUvm+r7T506ibOnv0gouXwX+oO0DEdwBer1RdFmyTURqhcc3kaIldBElBGw0fxYOhPd4F7nbQkg0gYmQDL1BSoHSPaQBepE+2SsLmvWKImVb52Plj+8YIt576sZR6AJCiHAMAZRkva5jEpGKpolMHCE8wkERJD6ALAocjkGoOSgVS+cJwwmzlcX7ksHasT0QlDowHiw53ThGchxXDb7hfr+HE4L1coPpCcz5JVNZsDedgPFIH6iE46KpsN6zOxihpMSUUXsnCMleUfLyzi5PZhdYV3MwmvCRvX10ZbBS0IhA6QO1tQgbDThOfcNCB2bLNYNRj0lfU3hPtdkwNw2mUHhZIggYE6JGumit7nTB4WzJXBbYyRgRWjW8AFIVCKlBySgrQMCjEMUwfqcErmkwmw3BeUodNWmU7BHjdByIipozlrIYoaWmqQ1CpWrIYRuLRKGV7qQGjHNIVeDc+0qWQQjRCWmlwAYvpF3zRlx6oFOgTcE/JYO8Qs+lfRMWnk+xpoCeU/gS9TH9G+jYMnkSuR6Q8kZuamImjncKnMlhqixL+v1+N+CT3n97exspo4erUorLy0uKomB7e7sLXN77DgufTCZX+PrpfW/dutVNj25tbXH37t3uvKagnmuzJwx+uVwyHA673kI67ussm7SlxvT5+Tne+65azzntKbjmQTZdk9RryIN5Oo95Ez29V9p/7paVIDngSpWfKvyUQH7Q9oEJ7tZagm8bElq1OjGSuqoJPp4UGUKs1L3HGRO1E+JYK8FZpPCAB6HwPi7t8R6lNKZp6OsXWJwnmnsgWmlbQle1G2sif13Epp4zhrLsRU42IvKzW+MKJRRBySgQZg3GBCgUQkq2dMnlakkAKi1YeUNVBw58n4kumC3XzLwhFBonPEshKC0MhyXDzZKxKpnqPhjDRnou7YYqOM4vzhnpEnqt7rkL7Qh+oETw44MJHxpMsEqgEfR9lO6tbIMoJGsCBqixXNZr1HDIXr+Pmq3ZbiR+MOXJasYyOGrbsFdOudkf4aqaSjeRKmpBDUc8nS84xUN/SCFjn0JIifDEY+rwQtnCbgGlFS7EZndvMCYIjfv/2HuXEMuaLb/vtyJi731OPqqyqr/Hvd39yRKyPJAxWMJYYHtuW5PGEyMPjF/QngjU4IHb8sRDDWwZNDFuI4MNAmGwQMLYg7aRoQe2TEuI1qNp1KL7dt/H96hHVmXmeewdEcuDFWtn5Ln1PaTb91ZdUfHxkVknz9k7dux9Vqz1X//1X/OClr1tAs3rF6wSdVFFBQ77PTENxDQRU2QuGQmBNCRyoVP7C4gYVTOFt9sgG3gQ7veJTWdl9CXlDkP07/UwvDf+PWe+50h/WYLNYRc3DHCvr+KGx1/3jcYNlxtKn4cbRC/u8b/XWjk/P1/7rXr7Pd9oaq0rHHN+fv6gOMrFxRzW6XXY4V6j5YMPPlihoDcVTvkzMM/z2lrv8vJy5fJfXl6urBwvjHr06NEqseAGc7PZ8Pz5c47H4wPaY2/M34SF91W8Z2dnDzj6p1Gc31+/ft+4/Tr6PIpHTz0r6keWH/hJjarmYccAc55N/S9EwBpi12wP3FLMYwkNNlka3z3UzDgEohjjI0TbHKIKdSmUUAjThuoJjxBY8mIt79J9SBWCGWoJjXepMKSBtVVzMXxfFKuKLJWlltZeTgjRepmOBPJuz7fPtny+u+FVzehm5HZf2D97zidXWz6+fMQXX3zG+dljROD3n33KJ2ePOTs/56NxIlSYdea6Hvns5oblOPPB9pKfOb9gs90YNKVWjJW1mlxuhVRNvCtqRFTIs0kjIxWdKzHDfDzyndcv2KFsjjuenl0yXV2wK5W7mx15EG5vd/zM+SPOVCi3OysISplcKpvLK757/Zrv7o9w+YgqCalWOCYxoq05tlKpRUhjagovylIqMQ2glUxExjM220jZ3zLv75BaGFJAyYhEREO7NisCy3k2DD6YfsySMzEOqN5jkjFgNQn5yD+JtsyPY/SMiDdxlPtCnN5D7j28PuzvMXNPKnp00BdB9dWOPYWux4odEnDj0Rspf63fmPznsixcXV1xfX29Qi/zPPODH/xgNcC/93u/tyYrv//97/P06VPOz89XbN01atzYXl5e8vjx47XpRb8ufV2ARyY9Tt1vQLvdjmfPnq2/X15ecnl5uXrwIrJy+z1y6emoFxcXPHv2jOvr6weCaD3E1UNG/eZ8KtPgdEyXK/C19XXsN27/vA/fjPuNvL8XfV7hTeOdMO4igoQI2mAQMS3uXCvDtKGUVkyQEgHWLvdC63BUC6MoI62MXwWSJepSiIzDyDSO7A8HYgzMxbRiQrTen2u2X90baDz6AEGsJ2uuhgcLpoxIrQRMVEvVdIcVRVtzanJmkyK1zFyOEdXM65sdhIFdEH7r00/5I9/6NikK9eYWQmQzbklh4O5wgBR4fdxztxx5cXcLBK42F0QZqLFyfXPD5vEToyEWe6g3YwJV9rEyixl0KWp0z1KZq3LUyuvdjs35OVM5B618kDZsSXxx3PP57WvOxg1jifzRyw+Z2vUeIxxrocwzm0dX/N71Nd+/3ZMunpCJposfAohRWUOKlKpUVdIwgjQ9fmkGRwJhGCAkJJlmfXo8otPE4cY4/mNI1CUzhA1SoWhLWifT449pQkUotRLtxltnLQzzNxkCebu4DA9xc7jnvXsSr0+i9qF2byB6bLWHSsZxZJomDofDgy+8G7/TjcTP3Z/P39dvKMADw+reo2PFTjP0sv5e7Os73/kOn3zyyYpXO9Uyxsh+vyfGuAqL3dyYbMX5+fl6XdfX12sLv74yteeK+083kA5B3d3dcX5+ztnZ2crK8XlcX1+vImMff/zxg0jG8wMXFxd88cUXvHz5co0eTqGXPtHZ5zH8b/5671m7Fs7r169XQ93DdD3zptZ7Oeg+EvMNqIfOvmq8E8Zd1WpUQ0wWisvQHtDWQk3N+DfiCjWIYc3LQooTsSojM8ncObRR7wi0Jh/Vil+0JVlqptTKGNsXv7J+IVSMIdN7Ck59srZc9jPFyOF4ZNhs8B6hKVkhTi0ZLYUchKKFEBNP4oapFL736oZ9CKSzM57vdqSlMubCk0fnxM2GUK38/vXdHd97+Zy4mbg4f8TEwOF45Hf3LynLzNW05dVuj84zMRr9a1FFi1pLPo1oBiSwL5W7nLnLC6/LzOfza/5QDDyWkTpZ79JXtzecTRNlyYSLgScyMc6FuS4syZLHgcjV04/4neuXfOf2FXL+hIFosgoxsCAEBRorKc8zIbqHWRhSZBjN+Fe1yCrEgaxGMV0G2yDONxO7Vy+Iw0BYFEqAKmSq7R80r24R696kGPc+Drbpd9gossLwb230nvYphv2m0Nqhlp4lA/yQp+geX1+K7552vxn0n+m9YE8aetLOn3GHjPpEqxv1HiLwTcK15b0N3zRN3NzcrBuVFykBK6Xx888/Z5omLi4uCMEahXz++eerQb65uVmNnxv2vhbAvee+gtahGDDj6gwdh2fcC/bXT73kp0+f8sUXX/D8+fMVm1/tQpfs9KjG748ft6efwv0m4B7/NE18+OGH6ybjG3EftfmG4y0AgQdMHX+2+6KtLxvvhHEHoTRcXUslpcgyL1bwEpyx0nintbVXq2oqjwSCwhhgFJCqIOb1b8YR2sItOTeOOy2cF47LTDK8gij3N0oa911QSrabe5xnUkwcl5mQIrmq0SDVPEZKRdvnDsvSiqNmSJGbV6/JBZ5++C0uLiAfj+jxSJwif+hnfoaUreOnMVcWRpSnOVHPr1guJl69DaqRAAAgAElEQVTtd9zudizHhbOLC9I0MlSl5IWzjT34VZV5mYlE4qK2DigaA/ta+P7zZ8wpkM63fHz+mLjLXAwj13d7fnC8ZSmVn91s+eTphyhKqIVFMzoEjjWbbMMw8d3rW373xTV6fg6biVoDolYPEMOAqjUZl1IIrdCpaiQEE25DGk/d73uppMmaX0uIEDaoDkxXiePhgOSMaGWIiRhMBxQXWqvFVDaDdYQKAWqFcZzIpaAiiJgM9Nscax1FB5n0jBd/tt0Y+vv9tVORKYdh/Nh9aN9j0D21sjeIPbPEi4N6XrXPrTc8boj2+z3jOK6RwqtXr6i18tFHH3F5eclut1s3iI8//viBl90bvSdPnjBN09pA+3A4cHFx8cBg9lCTs1k80oB7Rsunn35KCIHtdsvV1dX62d1ux83Nzer5f/zxxw/m4tfu8NSzZ8/47LPPVipnn/D0eTku30c5p/oxPpyh5Pfd1/Tq6upB83LvkNVHUKfsJb92j/b8WfipYMvENCJSIXpzg0AIDdfKlSACVRFMpRCxqkZiAM1EzVCUlCYkmAzwshwZx4ndcSbEyFIruSXhRAS0okslhEgJ5cHiGicbE/pq8sJFjXZpZZfmjR2XucEAxtEvtUAMHOYjF5szjkXJYeBuSvz+599jIHBG5IlMXI0D8bijDpF9XghZkKBsFI6iPBkmskaOx0ylcPn4nKECtbKZRiYE0YJqtk0uJoJW7oKSlwNng9E3sxbOL854/fIlP/voiotceb1d+P7hlsvNlo+Gx7y83SEqDFkRqdZkPFRo/VvjZsMPbl/zj1/fkscNMkwUUeZY2aQJyZVQxMTa1Pq/SoOxggTT6QnB8PGQSGmyCmIVcl4sapuNmcQwEoYtMmU4Hphvbqm1WH/ZPKNY/1utoCVTZghDgGQFUMuSoXV9oskWvM3hX054KAHc0w17KOY0aQqsuHZPnfRmGz0zpq9w7Ol3fZWkn9+Nd/9euOfT971f3aOMMa466T0v+3d+53dWD3Wz2ayeqecZPFLoJQL6snxn07gB66+jj3xKKWu04YbfKY5PnjxZ18qTtiml1Zv3NfB74FDMZrPh+vqaL774Yk1i+r1w4+zr0udPeijL19ULnXx9e9jH18clHlxqwTcfZ/n0mH3/OXjYQPt0Mzkd74ZxF0ipJReicZtDEObj3FgTkVwKKRr+nVa+aKNA5UIK0cSxsEIYa9oQuDnsWMpCtM6j5Gqa8ClGtFqpuwTD4Q1fV6IEYkzrDaxaUWHtSjTF0cr082J9RoMlWOeyGAuHQEW42+2RNHB+fs7n18+RCHV35OriiqsU0HmxAp+ilFKJwah8+1IooykkkitPpi3cZtKxcDZtiTFAzqgoM5anCLkya6UMiS/ygc9fPudnP/iIMw2taXjiw6snDLmSFZ7d3XEzH9jtF55uL/lo+8i8YKRp8QSUyKyVA4FPX17z6e6O4+aCMIwEEhHzxudSiWrFGVVkbWSttem0NzppHJJtjCGadK+Y3G8QgSDURYlDRImIRDQkZDswDBuW/R2H+ZbYBN0CQowDc1biOBGGyDwvhuW3ZGoIVkBl3vtberTlXl6gL8l3zw3uk3XuBZ7CH/2X2Q2OJwKdJdJT49wL9NfdQ+9pdg4B9Ik8h0B88+i9/tPknSs9np+f8/nnn6/X5KJfbtROC7F6GWNg3STcqPdc876DlW8O+/2eL774gm9961sPoowPPvhg3aSur69XMTMXJuvXts8hqJoG/KtXr1amSs/E8bmctgDsoa8Y4wqh9Gvv98zXob+PvaF3Kqm/zzfBXn6il5HonYWvgma+9qkXkU9E5G+KyD8UkX8gIn+uvf5URH5VRP5R+/mkvS4i8pdE5LdF5DdE5E9+3Tks030kL01buckRBBErTZfA0AoYQMnFmmZXtTL2aRhJmpjCZCXqrahJi1KDIskYMMdlWZkuNMNeRSjQimgw6YMQrAlIg3O0wUYSA6X1cl0LC7RymI8UbAMIIRhvXoUlF5Z5JuSFD6cNj3Pln//wIy5Sokq2HqMEtAQGNS93njNZAqHAXCovDnfcHo9cbi94cvaIISRUhZQmAgGIiCTQxN2iPKsVwkQYN3z/xUteHo7sc2UROCwLRWCvMCzCz55/wJPLp0hKBndotraFwWCnu1x4pcp3Dwe+u9uzTOeM20viYOo9UQOxBkLD9peW28glEyQRwrDCYCEFa4uo1nC7iqBN5reacgBhGo11pCAqQCQMZ8jmguHRE86uPoThnKIRxNYhDgOLFvaHAyLBaJAoy3x8gGm+zWfbYZiey94bEMez/b3utbkh9w2i92DduPQ6NG6sfQM5LYp5U0Uk3Hu0OecVw/b59D1CHeMG1kbSzi4REX7+539+LcvvIwMfPdWw1srNzQ37/Z7z83MuLy9XaMmvuYcyvFI0BMsvffbZZ9zd3a1r2h8b4MmTJ1xdXa3H7BPFfp3Lsqwa8J70XYsYO0Pum6rz1j2y6aORfi2752u9Vk9A98O7aV1cXHB1dbVSUn34vXU1S38GvOdqD1G9aXwTzz1jHeD/johcAn9bRH4V+A+B/0tV/4KI/DLwy8B/DvzbWAuyPwb8Kazh8J/6qhMYS68iWilLsWKXpsMdmypgmQui6jUt1kpNqyVc80JMpj0TpDavPJNrMW85V1IcUK3U3GhUqkjRpiKoKysmpAi1EFOi5LwSLVQUv2+Oy6NKqYXAfRWfYu3/amlQUqlwOHI5RC4uLpHlSKRh9cWaSBvcBCVnazyyzJRgkcImWAIyqiIlN2GvwGKSlxzKTA0QJfH54Ybvvb7j4+mSyzByDAtlTFzf3RJi4PrVNZoC46Jcnm0ZYrQKUSyJW7VQJHAElgDPDwe+uNvxKmfqdEbcbFAqqtKabYCI9ai11+8bCdiiGefc4DX7nLW9g5oLQiYNo0UtkqhqKXNVNepjM0ioEOJAiOdcTFfcvHpBrQu1WJ/dKMYIqqVYrYOI5VIifE2zpB/7sw33UIuH1KcFSm4we8YE3OPrPVTgn+mbTfRc6Ddx49049QU2pxtfLyfbz9nn4EbLk4l94nAYBp48efKg+OmUh91vIG4oe4PXs3b8Wnrp3Jubm1Wf3SOXGOOq+fLy5ct1bRyO6Tc2N7L+/+3tLa9evVq1dt5Uvdtj2j0U48fsYaYHD1Uz9J6o7qmObuj9Pvia1lpXeKhnw/Rc9/758HX6kTB3Vf0B1gUeVb0Rkd8Efg74BaxFGcD/BPzf2BfgF4D/WW0m/6+IXInIt9txvuwsTerX2CW19RgVzOAHwSRjMRmCWorh5iqoFiKV2DD0EEZSNAw8l7wa7tqkBgBm7xRTjXkRQ1zpjYarw7IUYoN4UOOwrztxq24tuRBjWHu9xmjFV8syrw+a1EpQgbIg7WEo7cEo9b55c62FJS+EGFCs4bRQGRq/W9vGkTWTZCIfF45l5nt3L1mi8O2nH1MFvvX4KXJ35HI8YxoGPr19TRW4IPL44pKlFC6HEalKyAvGFIeKNZPeV3g1z7zY73hxPLKXAJstadpahywwY67ti4MgwXR+jJkS/cGxvwF5XohjIoTkn6DpMZPrzJgG8/YH48iH2JJ7g1UKj8NIrdKqXeFi2nDcvWbZ3yJ5JqpCLQgmgGaQkthaKutc38az3eOu/qXt8eT+Z59E89f7L7J/0f2YPZ4LZoyc9dIb454VAvzQHNxL7o1y/7Ofh28qfhyfe2/oHF7or6tn//RFWv53XxvXZsk58/z5c4A1Efr06dMV76/VOi/5+Xrt9j5i6dfVE8I3NzfsdrvV0PZKj30i2df0lLXUD4fF3mRk3bD7xupwSm/wnQnkf/vwww/X6tmeHeTn8jn4Zv8HhrmLyB8G/gTwt4CPu4f6U+Dj9vvPAb/ffey77bUHXwAR+UXgFwHiYBK8pRozwrgszXvHHoYYInndyQ2JlwaDRBVElHEcEFEO84HSkrC26PcJqlJqY7sURA2XyvNCDIHUkoElZ842W2N9hICokpdqsI8IuWZUsIKaJbf5GKSzNEimViukymVhjIko1q+VGFi0WAISTNWyVErNGOSUCTGQqyV+j8cDgyRiiMy1UKJwc3eDHgtLUML5luubV4w3r0kVHqUN8ckZca6UWk3y9+yMq/GMIgs1CeSZFCJRhVyUuVaOQblT5cXdHc9ud9zWwjwO6LRh3J5Tq0UHlUqIxmE3a968SRrcoJkYE6U2TZ8QkGC5DKtjACRaxFRN82fJhTQMFolp4XjISEyUxSKjQatJvwW1gqYhsbl6yrDZkm936LyQj7fG2IkDtRaGMZFbf9rwDbiQP7Znu+GqvefVJzA9YdZ7qT02619m91bd8PWsCk/Cubfee9CecO1xZm+E0UMKfq6+qcgpHfMUVvLqVo8EnMnRQxM9S8av1T1/h1n6JKerSYIlXV+8eMH19fX674uLi9X7d8kDlwZeHaoO5/b8hSs7vnr1ao2gXKWyp4f2rBW/7n6T8vn3nnsf/fT328/bc9adSeSRU5+sBTPartXjype9EJmqPoBvfiTPvXtgL4D/FfglVX3dH1RVVUS+fAt5w1DVXwF+BWDcnmtejgRpDJV192xeRktqpqb4FiRQW0VojJGyHDm7uKSWI1krxyWjajDL0JIdFQxzD9FUJmuFWpEGHWiDWKQt9JIXQkpGuzT3nXk+MrgOxbIgYu8bphEweGheMikOiMCcM0SYpSA5M8RELZm5FoIqSaJxckzCkiU349cSuAAFUAGhcjMfOVJ5dveaj59+wLkklsOOn5kukaUyjCZ3cHVxhoppt3xwfkkMgTAvSC6UooSoSIBcKzsKxyC8nGde7g+8uN2RQ6KMI+nsDIYRiQPS4I00jGulqemtd13fV4yxAHZvcrXCIlGDcLRkYsSqZkNCxHD3IFDLQi3ZlDiBkEbKsrDUAlGIY6UUQRlIw0gYz5kenVHmhXoXqfNdY0MJ81Laxrm02OQtPdvjqG543Oi4gXSj6h5krxniHqNj2rRntue0O7faIYyeUeLn6BkpvVHusXu490DdiMO9sXJD32vT9HN1I+/RRFvTB55uD/f4xtTDOy4/cH19zUcffbTK+l5cXKwefd/gO8bI48eP16SnG9O+itQ3mv1+z+3t7cqacc75qbJiny9wT76HP3pj7Pem95zf5GF7xNN74W7w3cD7RuPHc5gopcTxeGS/369Sxb5hnEZHbxrfyLiLyIA9/H9FVf9ae/kzD0lF5NvA5+317wGfdB//+fbaVwxTNSxqnXcEoZTFemqKGTfVSq2K+fUQB2vNVhQIA4dlIS5HQlVyaboNVag03fE2QjPUQJOMb2JV0Y6X4j2joWSDf1RdjgDz5rEN4LhYkU5RpZRsOL1W07/JhVoXsghpGpmGgWXOSGvhB5VcF6qadnmtxRgjje5ZMa86i/Di7hZV4eXtLTIO7FC+9+xzPpwuCDFxNm3Y74/clpnntzcMUqg5s9lsOQ/Wv7UERaMwBkGlkmthlsAtlS/2Bz6/23NXFDbnxGnDMI5kEfOg1fqc1mo1BiLSopLSvBSjiDrm/hBfHFGBXAtBrWOWaEWqkoZkkIkIpRypFSQOTMMEQVjyvNIohziiJTONE1WV5TAjIZGGgWE7EbeJfDjnuLuFfKQc96jWlc76tp7tHrfuje8p9NEb4F5cysN4Hz3G3jNY/L3dda2/n5a5u7Fxw+2Gq+8i1OcH3jTPHld2Wl/v8bqX6r/3LKB+A3Gv/Pr6eqUdfvbZZyvnfbPZcDgcWJaF6+vr1ahtNpsHjUR6WKhPTt/c3PDq1at1YxrH8QHm3W+APcT0ptqB3tD7huzn8824T6D2a+1/98/0ORO/bu+Z2ieOLy8vV4E23wB7rv1Xja817mJH+MvAb6rqX+z+9DeA/wD4C+3nX+9e/7Mi8lexZNOrr8bbwSSi1DreV/Oz0mjYWRhGqC52ZIa5riFJQasiMXK7PxLqwmAoOqUa1g7WiSeGYCqQtZCzElOi1oJEoRZrFJLiYBFCjNYEQitSDQMPLQm6+nBiAlmKJVuJgdxyAVUrqSiDCDIkllwoeSFpQKSyqBJTIQUr6Cm53SiJ1Kotcijc5ZmXuzuOuTCMGzaPH/Ps+iWXj865DBEyHET53stnlnUfNpydn6E5s73YmlEsQi6ZeQjIEIiGVLDUwuty5Ae3d3x+mDnEEbm4QMYNGhMaIgGhok12QS3KUJtjDME25GL6+ykllHuKmBuMkhektSsU9Y5PlTiMlLxQ1KKBWg0js8rWIyFZpe203bIU26xEE0txoz6RqWTJLNiXazp/xDBNlP0dR4F82BsN50uM+0/i2fYvYJ9UO2264V/4HvLwf3vJvhsHNxY9ht/DA73RhntWTE+1PGWWrNW8bfSsGr+GHrroMfgehnEIxj3iPjHYJ3VzY5vd3NysnPXHjx/z4sULHj169EAE7dmzZ6vSpHvxDs0AD+AlHzlnDocD19fXq7jZ2dnZuhn0OY0eDunXv09898lZv5YetvK16t/v69IXMTmlsb/vHu2klFYIrX8efEN0obXD4cDt7e0P3cM3jW/iuf/rwL8P/D0R+bvttT+PPfj/i4j8J8B3gH+3/e1/B/408NvADviPvvYMEhnPP6TWbI2vMR3uWg03VhPlpubcGrcZLREBSdYmb18LI4VCBgpaBZFIqjAEM0qaFQnJujlpEyZzpceqlJwpk1H6qiqxKlFqw9IN0ll371oxWTNWSKJW06upVIooQ0xo1oYtGzxTVVtzZ2wzyMoQIhVhprAkuN7f8HwpDCFwtr3g+Pw5m6FyFuHbj8+bgQ3caOHucGQaNpTdgfMnF1yNxu+u1lmcWa3HqS4FDcKdKqXCTVU+vTvwxSEzj1vi2RnDuCUrxuBRa7snMTRpiEjOxapIRSFGVC0hm2K0eKo1INf2YEpMjVFjCzUOJm+AREqhRQOZnBfbRMJkgmAUajmiBI4HpSCmT1MW0hAgVGo9gkYkCzVDrAEGYZERebRhvHhCOs4stzeofOlj/mN/tkVk7SXaG4je8MG99+efcRin9wr79/vf+6Rkj1338E5fat+H8r4xuIHsPXUf7sGfsl++jGLYn7P3qH1e3iYvRtMlv729Xb3wp0+frmvjG4BrwT9+/PhBEVe/Fj1E5BGDG3b3/nttmj7nAfciXP2/3dC/qSGIRyK9YXXpBl+rvj6gv+e+2YLJDqvqCtE4BbSHtnqKq6oxgbbbLcuyrCJoX/rsfZXl/0mN6eJKP/zj/xopCCKFWjK1ZIJYkrWUxYS6VCnLTIrWxLpWS5rG44GLZc/TVBl0bl1YA6IBUiIoRAmkxnG3BxkC1h81ijFebMcOSJOMjbSKebBooUESaqUx7fO2q69Vr2I+LlpJIk1hMqyVsSZ9ABHHogUkcHM4sNfCq/mADonbw8x2GHl6cUne7ZhSZBotXH/x+oYscYUsnjx+bHNpXaeEsDKBaikUhSLWQk9j4maZeXZ3y4s5M1w94SCCxgGVYDTOlixVzADTjgo0CmRLUqo2iKo9kCsEYaqbVbGmGUAIkSjOQhCUQLEFJSSLyiSOtv5iDVTmXInjhMQBgvcgjcaPT4kqEYkDS84MaTQYL0VkMKhokxKhVv7xX//vObz49K1oEGw2G/3kk08eGM8+sdgb01Mt7x4emabJ1r8zsH2y801FLe5V9tGAv9a/r0/q9UavT1CeRgM9pNFXqvbDP7vb7cg5ryJi3kXp6upq1U3x4imHafw8XnXaJzhP6ZNwnx84HA68evWK3W7Ho0eP1uvpcW2f2wPa7sna9WvYY+M9pNarO/o6++gjKmDNZ/haesTin+0js/4e+fv8WD37BuDXfu3XuLm5eeOz/W5UqLpnRuvIEzCst1SqNFYMENQgAJqpCRgen2PgdhHm3czVJrERZaiVUUxjPQZjn9Ro9MfU9GgE0NQ42tUokCJWNl9qtaYdtYVqbUOwhTVKoHcPMtKfdRQSmhFCyZ4Uzkcz8jEQpYXnrUEIKbGbD7zc7zh78oRhGHjx8gVXmzMohbRkzjYbAmpzQdlcbDlW5SJNTCrEajr2VaqJa9WwMoNmrcwKcbNlzpVnr1/x+WHHQUG259QYrXsSlt9YSm0bjrF/BIsqarWEbfUetu0BqxhtMwwjtRRLEov3mzU9dxcPq3ar14RscuaE2s2otYAWQhBTdxRBasOqq5LnmWHaGL3yWCAkQlLGECm4wamUeSHG1KKQplb5lobIfTOIHpbpdVZOqZH9Z917c2ZIz3f3xF2PD58aqN4Y9klUx4TdUIvIg4Spz6dPEvbH8Pk7rt4bnv588zxze3vLo0ePEDFxsfPz83VTc0ng3jN15s3ptfixezlix99VlZcvX66CY74Z9rBJ70X3hr3WhzID/fr0DCT/jMNSfnxfq97A9/fY74HDL36fPCrze+mRiW+WXp3ab6o9rNPfjzeNd8K4q6p5fQHEdHYfJJVUE6JKmY/EaUOejyBKqcoigThuQQZKmMjlyJMpchYK5EyqhrkTIKuxOATzKoV7No7LSwlKWbLBPrWsRl/nTBqapnb1Hp2Rkq2ZdtDQ8IiCdDtrxZK+VSGosBwbDUsNny8UaoIalLvbG+Iw8uTsgiej0S61FMgFjd5kRBmjqSvqcSE7s6SFGIJSBZaqHKuSY4LNhk9f3/DFq9fsS2Y/DkxnF9SQqHFENYCYVzwkKwaiMZJUTBvGkqWWZE4prc2xaVubpmQ8dG1MdmGtDfAcSRrM+I7DaHmQeN+UIJfS1h+713lhGEZynhsbY2QcRpbjwaSfw0BKQs4zhQCDKUKWXEjDhBZlKYqM4xp1vI3RG2w39L0R9L/3qowe2rsh8y+/N8o+9V7do/Rz9Ik8N0h+zJ4b7+9z3rUf75Sm2ecAeq/RDXJ/Db2H3Scrb29vGceRi4uLB+wfP6Yfx3VXHLPuIaoeenJD7YU/L1++XOElr5g9zRH0BVinuSE/rieH/W/9ffM590Vmfu2+GfSNT3pWC/AAqvHNpI9cegy/38CcR+8bgDce7yGjN413wrhLK1LSxm2vqk2Lu1Hp4kBASduBGCAtM/NhT4gTUWeoBVIgyMiyX7g+7AlDBCqJuBYZmSGqpjYpEbQyNPglOsygBhUIoM2LdSZcbR2NBOOnFz9iMe30KGGFKQ55eVAx6F6AwzoEpeiRmkFD5OmjC4JEaq7AQFLLAYiINRZZTBoga0UXkGDrtYTAgsHgiYDUyD4EDqVytyzc5cyrZy+5y5kiARm3hLMtOmwIcbBWdtW6I2lVVIzH3paBhkYR00BuVE3rthRbNYJVnSouqBZIaQAskWsVaO1YYppBS26c5JLXnEUtCvG+LkFrIS/GJhrGCVFlOe5t08mKBGVpG2yM2MYvJjKXQmSpEKdgG+Nbhh5PqXRubHoIxHXGXZu9p7qFEFbs+e7uju12uxqv9ZnqcO+eD306Tj1vH/6MvokZcwpfeBl+n4jtE67usftnr66uHjB2+nn6JtTnIPz8fVK2T1p6JOMNMJxNlJI18O4Tuv1x/Pee8RJCWKEXHz098jTPcEpt7CEuN+h+bF+X3uv313x9elnffqPxZ8Dln/sN3xO1/cb6pvFOGHdEKCGYvolE85pDJBdFJZKzlaVLFAZJMERiMjnQcLhGilLnhVozw3akzJXnhzvOCMwSTBpYM1JqixCscYTdpKVJGah58GIVl7UYZu7eJFop3Hv3VMhSCCGSglhuQKxqNqhh9BqCQRbRCnlW1kJVNKnRIA3roZbF4IxsD8JSpBUGQS5Lw7CFXE2jXipklIJSm4RxLUrNynXN3ByP3OXCIpEcJ8LmkpAGk1doglpUIUgkJGkSAkrtGUmhcYZrg8KCICSqyspw8VxDiPc67bVYAVeMk8FoVQ2aqdZKMYS43nf78sIwbtAgjedeGcbJqKhC2+QsITwM9nxUrca+KdZ5S0Soh2rCYku13MF8MFrqWzTuvdcL9zCBG6zTak0X4yqlrG34nGboibfb29vVw+0NoHvibrycbtczQHrD2Rvs3kj4BuTv7zeMN0UG/p7T0W8SbpR8fj7nUynfnpbYJxMdxnHetxtHgO12+6AC1K/BjWOfdD69ttPIqmfHvClp7Z/to5f+Hp8mOB0i6jcxh2z6a+zn2m8Mbth9nRyWOZWseNN4Z4z72dVTlKaNHM2ga6UlDWdCSmsCzgpkvLz/Q/Jhj5RMnvfsD3eEs4LuD9wcdkzzK6ZauAjCVkCyEqobLwjBJAeCBnKjIYpahyeRhn0FA22Wqo2B3h4OLBGbS1npgo223bxdq+gklzZvKM1blaVRNBFSaJ4FxTjlauBRUWPWmHBZRSWgEphLIQBDspZ+KUzc5MwXdzvucmZfhRIT6fIRMlqXd6XBK7WYsZVIzbZdhSAUCpKkyTVEYjS8XJtRp9UbxDjZ+odICFb4peZ+E2KiEAnpvggthgShcX/jgNZAjGKVwKpUApIiRU0yompTiwRCSHbdtbYoodUwCGt9gMTUNP6VjKIpICmRVIBCPixv3bhfXV2tcMabEnS9MYGHnX4OhwOquho1L77xfzt1ro8E3LifGq/eiLo32WPGp5tAn/w9Zfuc4uvAg99PE7G98T59rxs4/72HN2I0tclXr16tgmYishp093xPI51+0+yTp6cY9ann3V9bH828SYKgl2Hoz9NHIT3Fsjf+fSTixzyVG+ghHf93j7f39Q9vGu+GcQ+W1Cs5A4nj0ZglMQ3Wpi1tzBCoYcBxGCjNWC01IOMTY4rUQtTFKl3VeM5y87scXjxnubulinI5BqQssMyAoDGxVLXkbNUmf4BBM87Q0Vb91rx6aRBPwuSCzfYVM2RgiU+BZWlFHNpa9Pmuro5Um9qkRhPfKrWaF968zRDCatgXNQ17kjBtLylt87u73fHq+gWvSuE2ROpmw3j+iBQSGgdKjBSaAmGIVkRVTCZYg3nUKhUksBTTTA8ES2Y3bCbESCm6JpTNCyBvSj8AAB63SURBVLG/qThNL1sf3NWraWlThyOCqXTFkEw9M6UmHtYExYIJjMUQqbVY67xoCp8G3wtVs9FVqxKCdekyJYpG1aym0pmXozkCGhnTtM7lbYxTSKOHEICVJeJeoxsr9+68U9GpcXS+s4tf9WwQv0e9F+hGykcPE/Veqr+3jyR6A++jL1D6qqTe6ehzA/55P26M8QGH/fb2lufPn68RjGP2Hi30htK99h7a6bFxx9P7/ISf0w2sG1/3kv04vYfdQzY9HNYbbr+3p4a5v489TNUnXHu4q2fPeOTi/Pb+PF823gnjrqrUpaK5oiUzJNMgL3U2oy7W/k7BsN5qsEcVJQal1pnSythjHKhqhkTTxHT5LxGuduTb19zevmB384yLsONijEQ1T7BqbslWM/KxKUSiICREjTVSoGHwoLWY0Sz3dElKJkjzkIo2Tr6xTnKjF5qRqoY/ixCjkOvM4BuDxsaF1xVGGqeJYUzU1sf085sbrm+O7HJmRtBpA2cXbC4eUVVYwkANoeHiGAZeTUmzSkWD5RsM+xdqFdBAkGQFXbUgIbVIwaiQkqBqQZhRFWIcrRF2hayCROtnWvNCKdZ0XDWslEhkxE5bWsFaQDWjUtHWcQu1SteqxqdfENsEam2KoBEt2WoMRmHOCxWrnh3GCY6mIhqwNEytmdoK097WcC/OPVJPlJ16vT1kAvdGs3+P46zAWtRzdXXF7e0t+/2e3W63erXwsPH26Tl6b9YNXg8/+Pt7quHpHOEeZz71yHsGTl+t6fN3w+cVrn6O6+trXr9+/aBD0jRNa1PtPmEL955xnwD1de/P96YN0kefF/NznkItfR6hZ7x4RNZ71D1ttPfM+/Xp4R8ffg96CMfzMG/K351+/nS8E8bdMG1brDQMVCqq5kmqKkM044RYmz0T14qoVMQxeq2Nnnf/IIWUyCmQwznhbEv44Cn17iNe317z/Paa4XDD4ymToknf5uMBKVY4VasSRJFqQmAheIWftXMLQFKrpi1aIUZrmxEFSSCLMmqyxGRjmjhzRDUwSKaWBSdyzPORkAbz1EtljIk0DsQ48upuz93tjuvDkUMp1HFExzN0m5AY2T563Do+paY7b43ErRFJXDdEFGJMrZWI4fWqZdXK13YvUtsgBSHXsso/iIhJLBSjZHpy+B4SiE2b3NbPRbuGEMlaWeYjoXHdUxhQEVI02MaTx1pzqzNYsx330IJ6KNySYe1LEEU43N5YlEGkqDJutmTu1Svf5nBD0As+ecFP7331dDl4CBmcYqsOxUzT9IB5sdvtuL29XdkU3qqur2g8ZXH0rJLeSPprPdTj8zzFtnvD2nvDwA+xcZwdklLi5uaG6+vrVSTLoauzszNEZFV7dEPtz5p7vKdz73MJTmnsN9IeAus3P4c8/DW/hh7u8nXu18KP5yynUw++L5B6U66jH/0a+TMiItzd3T24H95i8euIAu+EcUdNV30+ztbIGpAhsTa7q62svYVaIYWmTFjIeV5x+iCgJVtRyzCYR4h5kDUNiJyh6YL46CNSyUwRcmu0kRBYFqQWdCks+z3bfM28uzHlRxFTpdQCWomibEtZDX0Qg2tiBT1kEFjkXrIq0ro8hYBKMYnc1vR7yZUSAhA4zIW5FLLOLLkyF2DcUsJAOTtHpgkZB0s+NljkmMbG17eIQxCGlKyHaCtCkiaD7MnMvMykaUsti0kjY3TwB8+L1WSt0IclQIVhHFY9HRGDZEKwKlWXZIjJk7GQ83J/74Lh6t5Yg0Y1DVGakW/ej4QVKw+hQTPcMxxMFMw6cHm3j9jyJYKQj3sIiVy+XH7gJzHcQzsejz/k+fXJUDdUznV2Q+9wg3vR8zw/4GTDfSegYbCuX0+fPl0pfXDvXbth2u12AGsnJ/cU+4Rhb7TdiPSQxilTo4dy+oSje6A555XC59fmxtw3Ptdh742fw01+DmBNUPabSs/Eccqg5xbe5K33uQX/3TeD0w2wx9N9PXvpZb+nfVTj7/Vz9F53f339+/rnoGf59OcWkZVyesp4Oh3vhnHHeNoptc481ZJxQeLKGIkNYkCtxH+ezRsYo3Gv82It8NIwIItpt9vDLMQ0mE58NE+6FKP7vZwXhs0j43WrIkNlGkygKj2N3KpBM653ozkTg4mazcuBcPecfNihhx1jXhjyzFgL2xQYRpMGjsk8hxRj49JX8nzkVoSsynFeOGZlLpUsSg0DGgZ0YzBHGCYkTQybMw6HGWIyYwhsthv2x5k4jiyLSRgPTcirEAyikntZBIIY1KJKGCeWZWYYEipHiyJCa3nXrhlMV2bojEkR7YTYpBU63UvbHvNixUtayVkxfXclBmtCLkFNSz5Yd6yQrCmHImiopDhaYrVUxmG6p8nlwpgS7cFYpZhL+0JSC8thb8cT2zilwUBvj+XeVqkZux4aeBO+7e89HA6rKmCvtOheqPOfe5inlwNwRUWHcdygel9Thzh6Y9NT+OZ5Zp7nlW7Yv9fn1Z+z90Z79cLj8bgadL82EVkbQvfiYL1+DhgDxtehpw32sI+vnxtbX1/f2HoqaB8F+Sbmz+ybPOAez/fj9/DTmyinPqc+OuiP3RdG+XX196w/n0cOvkn1Gjr9BvBV450x7nNLcNYlN7y208WgMm025mGqGdlp2hh2nQtSlShYiF+hqJLAFCMHEwhTVebDwTYQTABsExSOtwxiSUs8yx4Dc54J40StMIwDWoAUKSKkuIG8ZX/+BCkLYTlQdWG/e0WlcHe0RgC1Na3OuXG255maZ3P+Q+vLOEWWUowtEgc0JpBEIZAG66mqIbJIYJiGxuSxgqrjUkjjRK2mY+MRjlVuJojRCoGqFQypwpAGctvMhmEy9k+IxLqg2XTqJVjyMogZ+yXnFdJBmgIkAPdeZ84zRYvp0tAbLsHaAFp7xBgFgkVa1XnzVW2etGMtmRRoRjoQQySlweQjUuU4zwRtDIZmkLQUg6FoXGFMNCEEg/Le5vCQ/bQC1A2EQyduiL3istdt6cW0fHixD7AWw/h7eizcE7bupR+Pxx9SRnSP2ZUT3UD3Oih+jF4crJTywIj7JjFN0wq9+Hx6T7sv3QceXLMbZ5/HKRzim0kvyuXH7Dc94EFUAg81d05ZNT48Wuk3vlOP24/VUzV9nGLu/Tw98uqjBl/LlNLKjvL74fegN+g9RfOdx9wRYZi25CUjlqY03W8i05CankklJlNrTEMyg9MokT11CzHudi1GpVuCea3leCSk5vKqNhjBGnUQrUtQGAaWWpGQiEMkREymINhDPIwmybnUSkgTWYJ52nEwpZRxw40uaFkYZGBgQmIyvn7OaJnR+ciy3yEc2WNdplCrto2D9RAdxw0pm8hYmkziVisMMSBVqVJY1HTLJUZUtBX7JMrxaJxxCYSUOObMOG3W7k9zqQzTBsU16bGdpkRCsHZ7SKOgthaCVnwUQCLWu9Z1p00LZv0i0NQ1W7QSgkE2Jk5vkVnVYg3Oa+t6pdqiMqGUFv6H2OAjscrfdp9Lno1jlFrTa7EIIUqgklqVrunJK5WyLNT6NutTzVBsNpsHDAyHI1xbxENw/+L3Bse/yKdVjr2XeKpJ44bAYRmHbRxicHVE4IHB8aigN3RuJLfb7Wp0XDKhh3tKMU15h3z6z/cRhkcPqvddiHrD6Yayv3Z/r1fxumGb55nNZvMAQ++Ts348Hw5zwT3ry9fADenpZuqYvBv5frPquf2n19nfrz6X0kc5vZRED+/4c+Oj/4yvR6/G+WXj3TDuwP5wBBpHtWbGoVVmqckBG1MmWDFMMyjjOFFrRqWYSqHAfLSiJBUsIZoVESURIBu9z7jzkSqlFQC1snWiFejEgciAagatzIfFDGCj+IWmxz5GUzNUjCqIboiypQZj8ixRICSrnp2EUBfifCCMI9YDNLdCnEJqHueQGr43NQM2jeb9L4WlBAKCaGYaheM8U0SIU6LkSm4MGfeUK8K0PcNFF5Zs2HhtD/MQG8xBoMwBSkZCoZSFmEbI5nFKgKDGACI1kSOEUqzrkum5GwsoRO/44+XdTb0TWTeOnHNLRBuTx3KvSiQyDhty+3LEmBBz4a1XbbT1H1I06uicETUVzBBTo5da8rpWy3vYF/bteu5u8PyL7oaqx617bw14gKu7QXL5Ad8M3Oj0cEpvKHrPrz9WbzT3+/06T/cie6jFjRrwYH6+OfRdhoZhWI2ff6Zn/7heuUMovZZK74F6pyg/p0ce/WYIrGqbfoxenKuHW3wdetGtvkLW59fj8qf0zx4DP2XA9NFAr77ZN//w63WjfEpj7CMZ37j61330UcJp3uN0vDPGXZJYM2xANJCrca8lpkaHMw32JReWtvClLgRtyofQoBU7lmLYcDnODONgeuAiJDEOtwZlmrbMy7ExC0xVcNWWiEKolVoKoxfY7PeGJwesEKcuGFEmsWSX7rQqm3GKHJY9iiUdJTg1caJIIGoh1AxlsZ/VakNjtK5RhIafE5CQCIMSN7H1bd1AtY2JIGSEMIQ1MZ3zvFaclroQYmLJJog2TBOxVX9qi15MKM2agkdRpBRqmVfjb20AQWIghGrefq2IZstHtIrcNAx4w5EYPWw0yYZaS0NZLNlbFTbD0CIw64ZVFUoxuCgE2yjm1hBlPi6kkMglt7oD2vVsjPu+9M2hLaoISZCQ1wKytzX8Cwv35ej+Wm9wlmVZxcDWHEf7Ip96gk6vdEMFD1UdPVroKyT92e7xeYdWvCCq51U7nu2esxu8HgfvIwWPCtyAnxqinrbY0wmdetjj1L3x7N+7Vnl383dD7Y04+rXqe5T2EI1vND075jR66GmLPSzSQ1JwD68B63H7CKWfrxv4/pr61nu91+/HOL3mXpf+y5g3YCDFVw4R+URE/qaI/EMR+Qci8ufa6/+ViHxPRP5u+/9Pd5/5L0Tkt0Xkt0Tk3/zac7QuRzFFQhDmZSGmgTiOxMEqIkOIoMI0bdr/YwvJxRgXagUtFvq3uk6BYRqpogzbEUSJSZCgFAqH+UgMiZQGYhqQGDjOxwZzFOYlsxQ4zplqVfQs2dg4uRSqBmOjpGhVlgGk8dGrQAqJISamaWRIAyENpOmMMJ1BskRpGMzYxnGCNFDb/xInlAGRETChrBgH0jQiaaBKYnt+yWZ7TkojMSbGaWMVsmmEOBhXvQrLUhiGkTSMpmdfKhJTk80ViInx7JywsY0nNJldlUiIg8kQDHZegskPTJsz+5uEVkRkx63lnq5mHWUaKyEaWyhIg89UmY/Hlow1yd8Yk3n6AGIU0zgk6406DEhKhDQwjhtCiJYor2pSxWOTC46xyQwHU6z8Cs/mJ/Jsn7Ay3Lg6uwXuveDNZrM2pugNq7+n9+b93/45T/qBGVzXJnGj23uDfm9co6WnZ/bhvh/TPfae/+0bk2uxu9F3w+Ofc9zdj+Hz8eP3nrYna0WE8/PzVQXTj91HN742Din5eXvoyefpjTrgvhdtf098/n4fttvtg3/7BtJvhq5J79fhG0gvk9Df21MWkG8SfSTj6+nX6/e6x+j7e/wHkVDNwH+mqn9HRC6Bvy0iv9r+9t+q6n/dv1lE/jjwZ4B/EfhZ4P8UkX9BVb8UIKpVCQTmw0yIke32orFkGs9aK9O0IZfKMs9IbBWU6Fp8JCLUbEm1FK3h8DSMjd+t5GKeqcnTJsOPUcZpYF6MGQKmXFhVKWVhs9mSF2Np5NlbkGlLOFoCtuRMXHG6ceVd51yYpk0r4adpq5gYWUzJmkG3DWgaNix5JimENDAvdgzENdEHJCaqGLfbOks170pg2KSWnFRkGAhiD4EA8/FomHQVJFiRkoxYhCMN6goBrYFaAlGEBMQQKMuM1koakmnRK1QKWgtLKcRhMIONtKSuYfKlmBaQJTwDtESpqVyaPkPWew8EsdxBPmaCJMuZYHmR0nIgKcZVi1+1MKSJZZ4JoWuLWJtUQcB+VpNE+ArP/cf+bLvhdMjk/Pz8h7xy94qdD95XIbbzrt6b/72HHdwTPA33XTa3x3hVrYPQ2dnZyihxbP7++3gPMfQYdJ+gdUld+GFc2Y8BrCqGbsRc76aHStwrdaioTwL3Rq5P+vqa9h6/qy2eYul9fqFPpHqytt9EPSLyCMQx957p4nPpr9/n3Hv3/WbmkJqPPgrpWTweVfQ5mj5R7HmBvuDpy8bXGne1NmI/aL/fiMhvYh3fv2z8AvBXVfUI/I6I/DbwrwL/z5d9QPw/CY3NkakqzXg8VFeLDVtNaWDJ1muQeB/ipBg5Hs1DsYcxmVxBNW75UhcUIY4DoOQyE6JxseMwWrJVhJAiOc/GzlGAQq1KGq35RK6ZENzTMNphztl0WxAkJdOqSYGiEDBCvKglRkHQEBAtFFFk2Jg4mQqSxqanguUSokUGpsBoEgJJIvV4YBX5ip5wMW2aJRsFUFvUE1vpkjFKLOEoElujjEBIkagTdTkSKCZ7jFWchhCbUdYGj1miVGshpUAMicPRDC0qpCSMIbTMf9PYqVZlOqRkG0OMq5gaMTQRfwUtlCL3vHp7QKwHa4gQBS2BpXqCuyKlUsUkHUIwrRmVatWwX4G3/ySe7fUZb0apL17qDUqfyByGYeUy99i6h/D3z3ZYZQp6mMANr7+nN1Z+fDe4/r8b7J6a596uG3b/vHuyfVNnN2J9ctKHX2t/3adwTk+tDCE8iCj6NfTr6l/rNy/fIE4Nab+J9cfxc/ebTQ+nhPYc9xGYUzffdG3uaPganRrvU4E1N+i9Z98zbHwd+/P38/4qzP2bi0LYCf4w8CeAv9Ve+rMi8hsi8j+KyJP22s8Bv9997Lt89RcGaGW/0fTAl3lZFzmmZM2Y82K4bGNhmCcwMm42lNrCSDG99CBm5C3JZw00arUWcGkYiCk2nRozCHbMe09Fa6UshWVeUK1ozY2Voxz2e3I2/Pf+AejCM2iNR0zFcSlW92ma5vd9V2Myhk4loGGAMKAyrN2FJA4NBglUMQXIGiIZocZEjZG42RqffZiIaYNKsmM1mIgIcYykIZCmiEohRDP2IgHTg7GoBkyULAwjMmwoIVJjIox2DkkG84Q0mvrlMEIaqXFgVpA0kCsUAlWiSRKERBxGK67S+w5NFt53Ze5gO6hW0+NpuQ71RimYzhDRqqpMrEwoCjnbJlWqtVAsXQ4gxGT34htg7j++Z9tG7236s91XMPqX1b3IcRzZbrcPIBLH43vvWOS+pZ0nNPsvvBtRV5b0jeSUYx1CYL/fP/C++1xBPy8fvTJhDyP1bJzec/bjeATir/fX7ZuDG7ee3eMGri98GsfxQWMO3zB8TXpGySkU1kM9Pie/Vz1v3o22z8/X3d/vxt3n6vfERx9h9evl8+gZMn200Fe2+vr0ifE3NTTpxzc27iJygXWJ/yVVfQ38d8AfBf5lzPv5b77psdrxflFEfl1Efr0sRnGqKDkvjONAaR2UtN4/3PZB7r1pZe0jWEqhLtbqLYq0wiSgmkEG42yXYnKwxcokVxbOnF28ydgWZgAN5y+5oC2EG4dhpe5FIstxYXH5UbX2cNlVJ2nMmxCbhIKuUUpVRVI0ProEKsEwZ/P7UTHmjiTjqyPBMHOJTR43EdNITCMhGD4uYSAOExrCWrAkjUVUtTJOo0VFTYNMgjCOAylF3B5IbFz+zRkaR8K4tTxBGonjREhDa3sXLUcggZBGJA6kaUMYBqsvkEAcRqxHlB03NPzcIRd/kIeYbA1rZkqJWrKJm2klhYRI6wmrhtmHeJ/QkhAhOGPGeO4pDrbeGOT3Np9thwqcvuYJtR6f7b3M3lu7ublZn213PE4peF6a7kagTyj6633C75Qt4wbQZQzciIhYMVUvretG04dj1afMlB5H9nHKI++TnH1S1efgkUNPFzylcPaericfe0/XMfzekMJ9jsI3h/5c/frAvYSAv6+Hm/p18XU/zZWklFY1y9OkqV9/P7+e0upr1nv/vvH4df/IbBkRGbCH/6+o6l8DUNXPur//D8D/1v75PeCT7uM/3157MFT1V4BfAZiuPtRcMxKM8RIUUEG0UnKl0uCVOBAkrUZ4XmZiMKGo0j381UNcEUuYDiYdu8yZMQ2UxdqwAWtv1GGYzLNU411bSaq2qEC6hRSMCBjXpEoaBkoujY6H0fdatajxy1tGH8Pc7U2VUgvDaCqMS/Okopi+TlaFkq1KtVXnlqWgCEtuXoRCSiNenE903rJSZTGeflOZ1KrkRS0JCixLJk2jJTjzTGya8EtV4jiYJvs4IQhzLkS1nrFIRELre1ramptUV4tkBlySAFVrIq5Y/UEMRnlvxiN6SJ4z59utCV9h0sAVg3tCGphzoWRlEBNtG6KHwtoqmhuOv+QW+c2G8ARpyfov99x/3M/2+fm5uqfXe15w78n12LN/sfum1e5198yQPhHZJxb7bj7ubfaGp6/afJOAmR/bn23fHHpvvme+9JtNfxyHFkRkTS6eJgr9tX4tTnH+3kN2uKb/rL/XC7T8d98IHOvusfOecfImiKcvDvPRQyc9O8k3Qt+k3Mvu1+7s7Gylw/bRgUNFp/x5j7R6PN3X5XSz/SrM/ZuwZQT4y8Bvqupf7F7/dve2fwf4++33vwH8GRGZROSPAH8M+P++6hy1URitQ4+AVmuCjTFgjFqXyMs9JSjnbE04xBZ0s9lydnZm+iLdAuU5U3Jhu21/j8kqMpN3aDKs3zHI2FrmlcVkelNITKNRyQQrzReEZZ7ZjhMX5xdoVYY0IGLGK8QG+1QruY8tyetf8JKti9K4MbW3JbemHzFZtFIsESiNEeLziiE0jRrbjGJMjIMxZVIacXEyCYPRJUkIAyULaCLGkVrAVB0H8pK5u70lJWuvN6YBVNYk7jBNpGkybLslPfFogHuPvIo17wghNSjEvKAQTaVzDXuHcW0Y7l+MZVmIEiiLeeuCNfsQrMhqv9vZRiOBKKYjYxo9iWEYG3ZvkVZsHn0MVtI+psTXGPYf+7Pdh+R94RHcJyIdSz9NTLqnvN1u11J9NxzzPK+GYbPZcH5+/uDv7sW6ce3pfg7vxBhXL7afqzdlvri4WA1iz5I5xdl7D9QNn1fd+nX3xs5/7zn1PVbvhte95X7j68/n6+rz6nMCpRRubm7Wz/f5AWfxjOO4euD99fnwdem9emf19NfQb1r9Bu3Vus5C8td93i6Wdnpeh3dOefv9Pesjhy8b8lVufbvofwP4NeDvYd9ngD8P/HtY2KrA7wL/aUtQISL/JfAfY2yEX1LV/+NrznED/NbXzvbdHR8Az972JH6E8dM8/28y939OVT88ffH9s/2Nxj/rz8a7PP6pn234Bsb9JzFE5NdV9V952/P4px3v5//2xrs+93d9fl83fprn/9M8d/jR5/9PxJZ5P96P9+P9eD9+OsZ74/5+vB/vx/vxz+B4V4z7r7ztCfyI4/3839541+f+rs/v68ZP8/x/mucOP+L83wnM/f14P96P9+P9+IMd74rn/n68H+/H+/F+/AGOt27cReTfElPY+20R+eW3PZ83jVaC/rmI/P3utaci8qsi8o/azyftdRGRv9Su5zdE5E++vZl/pfLhOz9/kf+/vbNnrSKIwvBzSIxRFIMiIZ0GBEkhEkQTEDub1CliYwor/QUJgmCpvRB/gUQr00iIH3UUNNGARJNeA0JSi4zFnHtZr4lEYe/MrO8Dyz07O8W7y3vP3Z3ZOdf6zey1ma269rveftrMll3jvMXSmfj75/PevmyxpEAycve2fJ1Uf/3erhYP6vYG9ACbwDDQB6wCIyk17aHzCjAKrFXa7gMzHs8A9zyeAJ4RV8+MAcuJtQ8Box4fBT4BIyXodw1HPD5ArPsyBjwGprx9Drjp8S1gzuMpYD6h9uy9LV8n1V+7t1ObaxxYrOzPArMpNf1B66mOL8E6MFQx2rrHD4Fru/XLYQOeAldL0w8cBt4Cl4gLO3o7PQQsAuMe93o/S6S3CG/L11lor8XbqYdl/rnKXgYMBl+1CHwBBj3O9pzs18qHReg3sx4zWwG2gCXi3fB2CKFV/KOqr63dj+8AJ7qruE1W1/EvKMIXVUr0NdTv7dTJvRGE+HOa9WtH9nvlwzY56w8h/AghnCcW6boInE0s6b8hZ1+0KNXXUL+3Uyf3fVXZy5Sv5gWm/HPL27M7J9ul8iEF6QcIIWwDr4iPqgNm1qpoWtXX1u7HjwHfuiy1RZbXcR8U44sm+Brq83bq5P4GOOMzxH3EiYKFxJr2ywIw7fE0ccyv1X7dZ+fHgJ3KY2LXMdu98iEF6Dezk2Y24PEh4pjqR+IXYdK7dWpvndMk8NLv3lJQqrez9wWU7WvokrczmEyYIM50bwK3U+vZQ+Mj4p82fCeOg90gjne9AD4Dz4Hj3teAB34+H4ALibVfJj6avgdWfJsoQT9wDnjn2teAO94+TCy1uwE8AQ56e7/vb/jx4cTXPmtvy9dJ9dfuba1QFUKIBpJ6WEYIIUQNKLkLIUQDUXIXQogGouQuhBANRMldCCEaiJK7EEI0ECV3IYRoIEruQgjRQH4C79M7WRkJokkAAAAASUVORK5CYII=\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Create matrix image"
      ],
      "metadata": {
        "id": "53wF9OW1wmd5"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "arr = [[1,2,3,4],[5,6,7,8],[9,10,11,12],[13,14,15,16]]\n",
        "# Convert the input to an numpy array (int32).\n",
        "arr = np.asarray(arr, dtype=np.int32)"
      ],
      "metadata": {
        "id": "ZtxDJxI6we2i"
      },
      "execution_count": 116,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Display matrix image"
      ],
      "metadata": {
        "id": "uMb1mgn4w4cG"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "plot.figure(1)\n",
        "\n",
        "plot.imshow(arr, cmap=\"gray\")\n",
        "plot.suptitle(\"Grayscale\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 312
        },
        "id": "LDYcC94owuC9",
        "outputId": "84b356f3-48a2-48cf-cdb6-eaed670a3899"
      },
      "execution_count": 117,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Text(0.5, 0.98, 'Grayscale')"
            ]
          },
          "metadata": {},
          "execution_count": 117
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Matrix operations (Linear Algrebra)"
      ],
      "metadata": {
        "id": "DYbASoYfxApp"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "Operations: \n",
        "1. Sum\n",
        "2. Difference\n",
        "3. etc."
      ],
      "metadata": {
        "id": "IqGpGE_3x5uO"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# sum\n",
        "B = arr + 10;\n",
        "# difference\n",
        "C = arr - 10;"
      ],
      "metadata": {
        "id": "iwEuNHxEw90r"
      },
      "execution_count": 118,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "### Display images"
      ],
      "metadata": {
        "id": "39cuDnA8xgm7"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "arr"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "Gd4SkltTxfBf",
        "outputId": "4831d73a-723e-4111-d526-ed208c82a2b2"
      },
      "execution_count": 119,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[ 1,  2,  3,  4],\n",
              "       [ 5,  6,  7,  8],\n",
              "       [ 9, 10, 11, 12],\n",
              "       [13, 14, 15, 16]], dtype=int32)"
            ]
          },
          "metadata": {},
          "execution_count": 119
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "B"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "igqok2i5x0zL",
        "outputId": "ce66a2cc-d744-49d0-c7be-aafca702a798"
      },
      "execution_count": 120,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[11, 12, 13, 14],\n",
              "       [15, 16, 17, 18],\n",
              "       [19, 20, 21, 22],\n",
              "       [23, 24, 25, 26]], dtype=int32)"
            ]
          },
          "metadata": {},
          "execution_count": 120
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "C"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "cx_Xheemx11O",
        "outputId": "c081cfab-0e1c-4115-f65c-2402ecda7224"
      },
      "execution_count": 121,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[-9, -8, -7, -6],\n",
              "       [-5, -4, -3, -2],\n",
              "       [-1,  0,  1,  2],\n",
              "       [ 3,  4,  5,  6]], dtype=int32)"
            ]
          },
          "metadata": {},
          "execution_count": 121
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "### Stack arrays\n",
        "\n",
        "1. **Horizontally Stacked**"
      ],
      "metadata": {
        "id": "5KsC-w9JyEZ-"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "Image_A = np.hstack((arr,B,C)) # Stack arrays in sequence horizontally \n",
        "Image_B = np.hstack((C,B,arr)) # Stack arrays in sequence horizontally \n",
        "Image_C = np.hstack((B,arr,C)) # Stack arrays in sequence horizontally "
      ],
      "metadata": {
        "id": "KqLth0iLydMX"
      },
      "execution_count": 122,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "Display Horizontally stacked "
      ],
      "metadata": {
        "id": "Pjw5kOZQyfy5"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "Image_A"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "U83ysQAyx2t-",
        "outputId": "52bbd29c-a262-453f-a323-c45354cc636e"
      },
      "execution_count": 123,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[ 1,  2,  3,  4, 11, 12, 13, 14, -9, -8, -7, -6],\n",
              "       [ 5,  6,  7,  8, 15, 16, 17, 18, -5, -4, -3, -2],\n",
              "       [ 9, 10, 11, 12, 19, 20, 21, 22, -1,  0,  1,  2],\n",
              "       [13, 14, 15, 16, 23, 24, 25, 26,  3,  4,  5,  6]], dtype=int32)"
            ]
          },
          "metadata": {},
          "execution_count": 123
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "Image_B"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "gjM48G2uyl_t",
        "outputId": "dad1822c-52d4-473e-c68f-5f3acd300aa0"
      },
      "execution_count": 124,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[-9, -8, -7, -6, 11, 12, 13, 14,  1,  2,  3,  4],\n",
              "       [-5, -4, -3, -2, 15, 16, 17, 18,  5,  6,  7,  8],\n",
              "       [-1,  0,  1,  2, 19, 20, 21, 22,  9, 10, 11, 12],\n",
              "       [ 3,  4,  5,  6, 23, 24, 25, 26, 13, 14, 15, 16]], dtype=int32)"
            ]
          },
          "metadata": {},
          "execution_count": 124
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "Image_C"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "1dWrruPxym4F",
        "outputId": "8f04fb0d-d6a3-4917-ed59-3e016d59ec63"
      },
      "execution_count": 125,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[11, 12, 13, 14,  1,  2,  3,  4, -9, -8, -7, -6],\n",
              "       [15, 16, 17, 18,  5,  6,  7,  8, -5, -4, -3, -2],\n",
              "       [19, 20, 21, 22,  9, 10, 11, 12, -1,  0,  1,  2],\n",
              "       [23, 24, 25, 26, 13, 14, 15, 16,  3,  4,  5,  6]], dtype=int32)"
            ]
          },
          "metadata": {},
          "execution_count": 125
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "2. **Verically Stacked**"
      ],
      "metadata": {
        "id": "uJova1KGyu8J"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "Image_ = np.vstack((Image_A,Image_B,Image_C)) # Stack arrays in sequence vertically"
      ],
      "metadata": {
        "id": "qVahdK53ynq9"
      },
      "execution_count": 126,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "Display Vertically stacked "
      ],
      "metadata": {
        "id": "Mg6D2ya_zILV"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "Image_"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "M2B2e6ajzDl0",
        "outputId": "147c0c95-f212-4215-c452-22894d74f33f"
      },
      "execution_count": 127,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[ 1,  2,  3,  4, 11, 12, 13, 14, -9, -8, -7, -6],\n",
              "       [ 5,  6,  7,  8, 15, 16, 17, 18, -5, -4, -3, -2],\n",
              "       [ 9, 10, 11, 12, 19, 20, 21, 22, -1,  0,  1,  2],\n",
              "       [13, 14, 15, 16, 23, 24, 25, 26,  3,  4,  5,  6],\n",
              "       [-9, -8, -7, -6, 11, 12, 13, 14,  1,  2,  3,  4],\n",
              "       [-5, -4, -3, -2, 15, 16, 17, 18,  5,  6,  7,  8],\n",
              "       [-1,  0,  1,  2, 19, 20, 21, 22,  9, 10, 11, 12],\n",
              "       [ 3,  4,  5,  6, 23, 24, 25, 26, 13, 14, 15, 16],\n",
              "       [11, 12, 13, 14,  1,  2,  3,  4, -9, -8, -7, -6],\n",
              "       [15, 16, 17, 18,  5,  6,  7,  8, -5, -4, -3, -2],\n",
              "       [19, 20, 21, 22,  9, 10, 11, 12, -1,  0,  1,  2],\n",
              "       [23, 24, 25, 26, 13, 14, 15, 16,  3,  4,  5,  6]], dtype=int32)"
            ]
          },
          "metadata": {},
          "execution_count": 127
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Display the Image"
      ],
      "metadata": {
        "id": "OQYqmmG50ZL9"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "plot.figure(2)\n",
        "\n",
        "plot.imshow(Image_, cmap=\"gray\")\n",
        "plot.suptitle(\"int32 Image\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 312
        },
        "id": "mYis6Cvb0i-l",
        "outputId": "b81fcc92-803e-4284-f2d4-e481681342ef"
      },
      "execution_count": 128,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Text(0.5, 0.98, 'int32 Image')"
            ]
          },
          "metadata": {},
          "execution_count": 128
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Min - Max matrix values"
      ],
      "metadata": {
        "id": "9p-5OTHrzOTG"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "np.min(Image_)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "owv8y3OyzK1K",
        "outputId": "086cafe4-e79d-4e96-e885-ea9cf2ed6702"
      },
      "execution_count": 129,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "-9"
            ]
          },
          "metadata": {},
          "execution_count": 129
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "np.max(Image_)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "Vq7k_tYLzey2",
        "outputId": "e5a7869f-7d57-4fbc-ddd3-739d7a99ad08"
      },
      "execution_count": 130,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "26"
            ]
          },
          "metadata": {},
          "execution_count": 130
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Limit matrix values\n",
        "\n",
        "Remove the values under the limit (min value)"
      ],
      "metadata": {
        "id": "BXqURag9zjbF"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "Image2 = Image_\n",
        "# Clip (limit) the values in an array. \n",
        "# min = 0\n",
        "Image2 = Image2.clip(min=0)\n",
        "Image2 = np.uint8(Image2)"
      ],
      "metadata": {
        "id": "tDtHjkTTzgQH"
      },
      "execution_count": 131,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Display the \"Clipped\" matrix"
      ],
      "metadata": {
        "id": "wsqhzcmT0FhS"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "Image2"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "Rr2_vWCb0AOJ",
        "outputId": "4103220a-a84a-449a-c4a2-b0f49f46dbc5"
      },
      "execution_count": 132,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[ 1,  2,  3,  4, 11, 12, 13, 14,  0,  0,  0,  0],\n",
              "       [ 5,  6,  7,  8, 15, 16, 17, 18,  0,  0,  0,  0],\n",
              "       [ 9, 10, 11, 12, 19, 20, 21, 22,  0,  0,  1,  2],\n",
              "       [13, 14, 15, 16, 23, 24, 25, 26,  3,  4,  5,  6],\n",
              "       [ 0,  0,  0,  0, 11, 12, 13, 14,  1,  2,  3,  4],\n",
              "       [ 0,  0,  0,  0, 15, 16, 17, 18,  5,  6,  7,  8],\n",
              "       [ 0,  0,  1,  2, 19, 20, 21, 22,  9, 10, 11, 12],\n",
              "       [ 3,  4,  5,  6, 23, 24, 25, 26, 13, 14, 15, 16],\n",
              "       [11, 12, 13, 14,  1,  2,  3,  4,  0,  0,  0,  0],\n",
              "       [15, 16, 17, 18,  5,  6,  7,  8,  0,  0,  0,  0],\n",
              "       [19, 20, 21, 22,  9, 10, 11, 12,  0,  0,  1,  2],\n",
              "       [23, 24, 25, 26, 13, 14, 15, 16,  3,  4,  5,  6]], dtype=uint8)"
            ]
          },
          "metadata": {},
          "execution_count": 132
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plot.figure(3)\n",
        "\n",
        "plot.imshow(Image2, cmap=\"gray\")\n",
        "plot.suptitle(\"Clipped uint8 Image\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 312
        },
        "id": "MEuSzgpE0lxn",
        "outputId": "5bb3e7f1-cbb0-4bc8-86cd-fd34d7a23e2f"
      },
      "execution_count": 133,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Text(0.5, 0.98, 'Clipped uint8 Image')"
            ]
          },
          "metadata": {},
          "execution_count": 133
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Binary image conversion\n",
        "\n",
        "To be able to convert a grayscale image to binary, we need to\n",
        "follow the following procedure:"
      ],
      "metadata": {
        "id": "yeHTt9u11DW5"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Thresholding\n",
        "\n",
        "Thresholding is used to create a binary image from a grayscale image 1. It is the simplest way to segment objects from a background.\n",
        "\n",
        "Thresholding algorithms implemented in scikit-image can be separated in two categories:\n",
        "\n",
        "- Histogram-based. The histogram of the pixels’ intensity is used and certain assumptions are made on the properties of this histogram (e.g. bimodal)\n",
        "\n",
        "- Local. To process a pixel, only the neighboring pixels are used. These algorithms often require more computation time\n",
        "\n",
        "Available Thresholds ([source](https://scikit-image.org/docs/stable/auto_examples/applications/plot_thresholding.html)): \n",
        "\n",
        "- threshold_mean\n",
        "- threshold_minimum\n",
        "- threshold_otsu\n",
        "- threshold_local"
      ],
      "metadata": {
        "id": "rr9MKVIm1TJt"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "Grayscale_Image = image.imread('cameraman.tif')"
      ],
      "metadata": {
        "id": "uF-_djcc0tXX"
      },
      "execution_count": 134,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Display image for comparison purposes"
      ],
      "metadata": {
        "id": "ZU_mRrf51fZf"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "Grayscale_Image"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "cJAI0GbC1Zpk",
        "outputId": "b59e8929-74eb-4ae1-c5dd-a39efc6793c9"
      },
      "execution_count": 135,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[156, 159, 158, ..., 151, 152, 152],\n",
              "       [160, 154, 157, ..., 154, 155, 153],\n",
              "       [156, 159, 158, ..., 151, 152, 152],\n",
              "       ...,\n",
              "       [114, 132, 123, ..., 135, 137, 114],\n",
              "       [121, 126, 130, ..., 133, 130, 113],\n",
              "       [121, 126, 130, ..., 133, 130, 113]], dtype=uint8)"
            ]
          },
          "metadata": {},
          "execution_count": 135
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Generate Threshold"
      ],
      "metadata": {
        "id": "352EfCMj1nwN"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "threshold = threshold_otsu(Grayscale_Image)"
      ],
      "metadata": {
        "id": "os3dp1-11khQ"
      },
      "execution_count": 136,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "### Display threshold value"
      ],
      "metadata": {
        "id": "Vdw3adic1v9_"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "threshold"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "QNQkU40_1svI",
        "outputId": "97d7c233-7a2c-4cab-d9c2-77c41c54dd06"
      },
      "execution_count": 137,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "88"
            ]
          },
          "metadata": {},
          "execution_count": 137
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "### Display threshold histogram"
      ],
      "metadata": {
        "id": "USEY-wRZ15e3"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "plot.figure(5)\n",
        "\n",
        "plot.hist(Grayscale_Image.ravel(), bins=256)\n",
        "plot.suptitle('Histogram')\n",
        "plot.axvline(threshold, color='r')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 312
        },
        "id": "vKKR5lf_11jv",
        "outputId": "90a11cfd-de43-4cea-a2ad-2ce58b0a0292"
      },
      "execution_count": 138,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.lines.Line2D at 0x7f25faf82510>"
            ]
          },
          "metadata": {},
          "execution_count": 138
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Generate Binary Image / Apply threshold"
      ],
      "metadata": {
        "id": "WZmBI32Z2F1s"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# Create Binary Image based on threshold\n",
        "Binary_image = Grayscale_Image > threshold\n",
        "# Convert the image values to int\n",
        "Binary_image = Binary_image.astype(int)"
      ],
      "metadata": {
        "id": "OBGOopJK2AVV"
      },
      "execution_count": 139,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Display binary image for comparison purposes"
      ],
      "metadata": {
        "id": "VAVxYF7X2S2B"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "Binary_image"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "0ZcPPX962LYm",
        "outputId": "222e6687-2427-4127-d03e-257a0aede2d7"
      },
      "execution_count": 140,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[1, 1, 1, ..., 1, 1, 1],\n",
              "       [1, 1, 1, ..., 1, 1, 1],\n",
              "       [1, 1, 1, ..., 1, 1, 1],\n",
              "       ...,\n",
              "       [1, 1, 1, ..., 1, 1, 1],\n",
              "       [1, 1, 1, ..., 1, 1, 1],\n",
              "       [1, 1, 1, ..., 1, 1, 1]])"
            ]
          },
          "metadata": {},
          "execution_count": 140
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Display Image side by side"
      ],
      "metadata": {
        "id": "Y_Nzr_3D2p2G"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "plot.figure(6)\n",
        "\n",
        "subplot_1 = plot.subplot(1,2,1)\n",
        "plot.imshow(Grayscale_Image, cmap=\"gray\")\n",
        "subplot_1.set_title(\"Grayscale Image\")\n",
        "\n",
        "subplot_1 = plot.subplot(1,2,2)\n",
        "plot.imshow(Binary_image, cmap=plot.cm.gray)\n",
        "subplot_1.set_title(\"Binary Image\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 234
        },
        "id": "Ge-I1Ynj2RQs",
        "outputId": "97d8f1fe-0d83-486c-f696-d4d4a83891d0"
      },
      "execution_count": 141,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Text(0.5, 1.0, 'Binary Image')"
            ]
          },
          "metadata": {},
          "execution_count": 141
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Color Models"
      ],
      "metadata": {
        "id": "2RS_1Osv20YQ"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "#  Read RGB Image"
      ],
      "metadata": {
        "id": "pV2edNwq28Sp"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "image_ = image.imread('football.jpg')"
      ],
      "metadata": {
        "id": "LEM0kg683AHz"
      },
      "execution_count": 142,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "# RGB (Red Green Blue) Model"
      ],
      "metadata": {
        "id": "V8hQVMkA3iVA"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Extract R, G, B channels"
      ],
      "metadata": {
        "id": "b9Z_cTqk2623"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# Red channel\n",
        "r = image_[:, :, 0]\n",
        "\n",
        "# Green channel\n",
        "g = image_[:, :, 1]\n",
        "\n",
        "# Blue channel\n",
        "b = image_[:, :, 2]"
      ],
      "metadata": {
        "id": "MGslQb7-2wfj"
      },
      "execution_count": 143,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Display RGB Image Channels"
      ],
      "metadata": {
        "id": "d4kZUHI23JvW"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "plot.figure(7)\n",
        "plot.subplots_adjust(hspace=0.5, wspace=0.5)\n",
        "\n",
        "subplot_1 = plot.subplot(2,2,1)\n",
        "plot.imshow(image_)\n",
        "subplot_1.set_title('RGB Image')\n",
        "\n",
        "subplot_1 = plot.subplot(2,2,2)\n",
        "plot.imshow(r, cmap=\"gray\")\n",
        "subplot_1.set_title('Red Channel')\n",
        "\n",
        "subplot_1 = plot.subplot(2,2,3)\n",
        "plot.imshow(g, cmap=\"gray\")\n",
        "subplot_1.set_title('Green Channel')\n",
        "\n",
        "subplot_1 = plot.subplot(2,2,4)\n",
        "plot.imshow(b, cmap=\"gray\")\n",
        "subplot_1.set_title('Blue Channel')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 299
        },
        "id": "O0Ip0mQv3H90",
        "outputId": "de0adb6d-8d68-40e6-d8c0-87c80b484ead"
      },
      "execution_count": 144,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Text(0.5, 1.0, 'Blue Channel')"
            ]
          },
          "metadata": {},
          "execution_count": 144
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 4 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# HSV (Hue Saturation Value) Model"
      ],
      "metadata": {
        "id": "mhQG_5cd3fsA"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Convert RGB Image to HSV Image"
      ],
      "metadata": {
        "id": "GNM3h40g3s7S"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "hsv_image = rgb2hsv(image_)"
      ],
      "metadata": {
        "id": "HJECJnqn3RRh"
      },
      "execution_count": 146,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Extract H, S, V channels"
      ],
      "metadata": {
        "id": "8C17ovTC5W8Z"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# Hue channel\n",
        "h = hsv_image[:, :, 0]\n",
        "\n",
        "# Saturation channel\n",
        "s = hsv_image[:, :, 1]\n",
        "\n",
        "# Value channel\n",
        "v = hsv_image[:, :, 2]"
      ],
      "metadata": {
        "id": "LLef17_K34uA"
      },
      "execution_count": 147,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Display HSV Image Channels"
      ],
      "metadata": {
        "id": "XjlEYSns5fxL"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "plot.figure(8)\n",
        "plot.subplots_adjust(hspace=0.5, wspace=0.5)\n",
        "\n",
        "subplot_2 = plot.subplot(2,2,1)\n",
        "plot.imshow(hsv_image)\n",
        "subplot_2.set_title('HSV Image')\n",
        "\n",
        "subplot_2 = plot.subplot(2,2,2)\n",
        "plot.imshow(h, cmap=\"gray\")\n",
        "subplot_2.set_title('Hue Channel')\n",
        "\n",
        "subplot_2 = plot.subplot(2,2,3)\n",
        "plot.imshow(s, cmap=\"gray\")\n",
        "subplot_2.set_title('Saturation Channel')\n",
        "\n",
        "subplot_2 = plot.subplot(2,2,4)\n",
        "plot.imshow(v, cmap=\"gray\")\n",
        "subplot_2.set_title('Value Channel')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 299
        },
        "id": "YVphEKm35a4I",
        "outputId": "883f8c8d-6518-4ec3-861f-5001576877d5"
      },
      "execution_count": 148,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Text(0.5, 1.0, 'Value Channel')"
            ]
          },
          "metadata": {},
          "execution_count": 148
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 4 Axes>"
            ],
            "image/png": 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n6bOzpvftafT0tfbCXkTU7ltjWTYOpoaQrqTvtp1f0/dzNdP55nNDnrPkhr3anTVg7SezzHomV9Jz4UYhXQVKRfEwStA8INhIgCYgCpJWSLdCx0Qrd+hgkkUyCAbVaAFr1AUi4WrjkDMoFnoukm2DJMRoB1HUxQgITXzUOX0GqY1WduKgjNIEWiHeI76WAiSABMzZApbWkNBHLy8iuYGldSh8JHVRQuajVR4kDjAaozQ0ARLQMhKcWEEyg0y64Lq4UYLREbYIeBvbFqkgHcPEw7gCPEFclEGcQaxirEJJ7LcRdCCQJWhmYNPu+BwxGp9LGklWTf3yOIOm9SzBaNSAXT2gzPGKYJZDCV48vW8fO/15Whuddcxe15117VnntvsybZ3P0o3bfZu+x70GkDZBOud2LNRZGnSzbVrimJYQroY0r3TclRx8NwTpCgGTb8SQq66CJkiWROvLCxQWcSBe0EQAA5ud2rufoh2NU+QsgTxGJEgwsGXBSowiC6CaYLyNBJJ48PXtK5BOon5rNUodAJWtIx3qSApDJMtKiGEQWv9foiVeKLpQwqFV2B4gkwEkDrUxLrchXCBa8YYYxRBMlB8ah54BQgrVIGranZKQTJCLixByGEyiw2ziUFeAc1FSyF3UptWDixY2WjvsMGBM1G+rPGrb1kcZgfh8RKUeiKK2rpV5IWYaj5YgNiB+TrrXG7OsxGkrbi+HT4NZ5DVr3zQRTV9rP0tvur22BTjLGpzethfhto9tk3b7+GnrePpas/7eb9+s6+w3YExb0XvhhiBdVVAXyUxGKUiKmCS+/EbQro9OLjXR6rJ1lIE1kBFjYksP1BaZKEwyQlJEYi0NYgOUUXaIEQW8MI0GKDNEtLaMY3wqtRWLxsuiJmrHxkMJoj4SnBd0MEAF2EpglMUpvCXG3FKTnwTAxNA1K4iR+h4EsR7pAEUkQxLQfAyVJckKvPZwnQ4m3Ua2HBoKYjJTGduXGEmnmUMLARdQ63HWRwedKhIEIxrvJZGdAYP6MUjzNIKNER6VibOARFEHksTokCuN5HO8vNiPWGY5ndq/pzHL6v12rLjpNmbptO1j95MMZm2bZfmq6k4ccFVVu2SFWdLLdF+897v2t7XZ9nXamDWoND/T50/jhiBdgGBMzJQyIIlGbdIDdbCupvVIr8Spfqpx2mwDQQXtl5EIkWihZiU6MQh1mIAjJlXYJFp8ECMXWhlvqnWamxjIXORJGx1r0VQlyhleorxgqyiLeIVDFoj7qEwdIwyaT6LXPyhUIMahNsR2MHX0gEWqBPEOLWLom3YcVMCwwhaW4Ib4WwrMpQlSlGhSos6h4mIut5ioGYcXNC2sxwOmNCgO0+RfiCJZHY1QGjSryX/nWUS5Rkz8jHXR2Rgkjhvp1U3B5njpMEvPnaVN7kWyTTTB9L5ZMsUseWI/y/FKHv1ZMsc0WU33obFap9vfq3+NrNAkNbTbnpY4ph1u3vud7W0n2n73/e3gBiHdqJeGwoN4bBB8atAUzDjFhITQCQRyjE1jPGxQmNREkVVIJahxCDEsC6tIGqJFa4maQ24wReRObVJdMx8dbBKiA8vbSCrW1FPpJJKfCdD19TGgExetUuNgQcBNMJIhIQeFoIqaCYwdSEP0iiqIdqOeahyaVqipEGcgKQlaQQLGZog1wAhvDiJWsBcmKBM0qzCuRNRHwu8AE4nXstTp04psppi8ID8HVZJgUiEhENIkGuAVaFJFycTEZyFOYlJIFXVhhTizCBKdfiqEeXLEdUfz8jfEa63diQZoh0TNmmI3x1wp+qAhp72O3a9fe1m409Zt2wps67dtTEsc08TZnDPdlsgLGWXW2p1kiL2u0dZ18zzfsZKTJNkh4vaxe8kK7Wcx/e80CzcE6UpQTOGjY8orJhV8WaE+oKEEk0RHmHP4TlITAFDk0C+iBoxFKoG0gsLWziuJUoI3qA11ZEJj3dpINGVt3WokU4yv6yoAPkGlDu3yBsYC4uoYYgdVnQxhJCZjECMAGtLDSST0kCLdEGN3TQDvo9yRVnFQMELwJaolmlZIyNC1BIZlTLKQEDXn8RZaFISNGLGhRItZeyZmsUG0dCXE+UHqoKgVkCx++ZKkiiFf0gE/jpKJ1tb6VpQ+SD34OECQOBgrBI0DjNb3Psd1R5uIjDF473eRyrRlN0sDbo7bD9+OVbeXLDBNWLPIcJal3D6nIem9HGztNtuWcvuYWc7H5rzmeTaxxW3Msq5nHXMlYoYbhHQxIb70waBGCUXt7Co1xs2qgncQJlAmSGIwIYVOSUiBpIqLeaiHbRvjchOFXFCVSH5JNHkVYoaYdSCCpkRJgBAJKKoZUSJIalIjJkfgiDudRJ24Ai0aX75EErdE0k9jRIFAdNqZuo0iEreqQwofw7bUoMHFKX+WIpeHSMchWYXfXEQ6AnaCTsawXaKJJxQSHYu51tqwwEjQJCAdHy3fUnfqP/ik/tI000xJ6tA2jZlyNqC2igNPFepEDaLlm9fnaP1l8vPkiFcC7Rd+r0D/Bm3P/Kx01r3anT7uWrz5V0u4V9o3S1Zo97MdfiYiO9LJNKnPkij2kjNUY9bctHW8nyNuun9X6+u4IUhXtX4YqUBICAuRjMQniBG0q1E2yH20hKsMIwZNao0RIdZIMAg14QaDTpI62sDWMauh1ok1euB9guTEJICaeGJTSS0zmGgxB+qKYLFmg5okJmkYg2S1880DvYA2jrzERd1XpdWu1CToX0hFrmN2BY1JIdpDbBZrPWyDkMTzkzjlR5NYlKYb0BAQlbpOg8ZQrzSgGykiFaIB0wlIapBE0Kq+Fy9obqFMa6vVAy7OFGyUeGiqkKUB45LoUFMTB5Nk7ki73pjWIduhT83+aTmhXXBmGtPn7aXjXgvx7nWNvSIU2vtm/T2LHNthZ1cz5d9Lc56WF9ptzzp2rz42aEsRV8INQbqoYkqPSh1dQKgdVB6tbJ1IUKIFhEwQibymzsSkAp/E2FYjqNpo+Wnt7HISLThjY6aYl1iNy1JbuFKXZ4yWHVUaCSdx0cllNFqiDkzQSIAmgZAjOgEkhqxNfAw1c1HOQOr2jMYgCGdiVp0QkzpUIwlK1J81OCi7iE/QhQlhVKDrghxyUHag6iBpBaklUCIThQKkCNCrouXaqTVu65GgiCo2FUxXMD2PbFpMYQmZAhaMQYOgeQVOoxyR+OiILC30SqhM1Jmt1s40bZWynON6oa21znJMtT+3CXmWA2663enz93OutY+dZTFPk89eg8Ks+5tFivtZ9O3KXtN93cup2H5+zTWttTuDVPOcp2cHs+SJ6b7M6uMs3BCkK6LIxiRW4FpKMC5ByxCn7nkM7A8SvedJsMgYQlrGUDLRGF7lY0iZkAE2Tr21QkJMC8ZplHKDrWNhNU7ZiyZWV+NxiY+eNp/WiQEhkqlVQmJiGFjlkcxiqi42jJFtj3cB11HoJtFhN/Ew8eiCieFshYsVw4LDTkKMsjCgIvhUUduFi4tIZwIbJUpByBKsqVBNUbcIWRftTBBbQVnA5gi1JdIDEyy28milqKvbzhUZG0ISsBWISWJuyGYB/QWkazGbFWEbtJ8iEmBsAV9LNhqlHxEIMYxOM421Lea47mhbdm0CnnZMJUmyQ1jTGugsy2+WxbyfhTvtMJqluzbHNWTWOP4a3bRtWc66jrV2V5+a82C3VdkuwbjXoNG+Xvvc9vNo2pkm+mnddxbp7jUI7oUbgnTV5JgDQ7KL6/iyZEIFXbBdi4wtMhHS2nr0TKJzzRMrf42SaHkFJSQaK3WNO5AbqLK4spjPY5RCretG9tVoFddhYmoqtErrko+BeAFFKokk7QWtEiRRtLTgc0Ia8KmHrIDKYDYzrLNoz6KLCfQ8Zq2DJFXUc1GYCHLGk46TqF4AeIuTIXTA5g4zEXxP8M7gLheElQq/1MHLELULsCUQqlgsZ8kRUiUYj9kcI36MjLeQ1TGsVjgE72IomeR1mJqrq63loOsmziTE1KFydb1hlVrjlrpyW3SiySiDxeqV+qrc1DDGkGUZzjmKogBeIKfGcw+7w8Oa82C286rZvp/OezUEvJeTznu/qz+ziK9NsO3j0jQlTdOdELAmWqOxTJu2nXOEEHZ+T5NgQ87t1OCmnabdvXThK+m0VyM9TOOGIF0RIeSHKY8uosNLmGcv0Xk6YINhYh1VZtBeiukr5fNjTDBIV5BJrBUgWxqtSCJPgEETg2Y5klkky8GnyCgj5Ab1KVIlsWRh4gCpJYyAUkayTgPYWExcSxOzxUKIkoAJUc8NGXYMZiNBexVBLd7EorrmktB7fsLw4UB/o8/yZImh9unQJylTrM0xWYZJUoymaBUL8EgCQuxH8AVbxZiyM2ZzYZP1zhobg5K1Y8rkgCGs5CBZzJALAlmPIF2CXSRkIzRZR5/ZhLEHtbG4TR6gVxJEY1RFZxKt91LRXKKWLSY+myKJA1vQqHNLlEeksq/cl+UmRgiBsix3pvGdTgdrLZPJhKqqdsKkqqrapVVOW6bT3v7p6fmsOrj7aZzNtlnk2562N9dvtz8YDBgOh/T7fZaXl1lcXCTPc9I03bGQ2/p0c+9Nf7z3bG9vUxQFW1tbrK2tsbGxwerqKkVRzJQJmp+mCln7OUxb7dP3vleN4L2cf7NwQ5AuqmA92k2hugWbL+KPnaEstigqRyg89nRJgjKWCs0F48GO4xIyOnEwiiFTxsdMrFAqVSFIP8EMM0wviaFYCx3IU+gkmO0upAlYi2TRiYc19WoOgk5AUwepRMvQBUKAYBXpCyYkUKfXhkkgPV8xPG84eK7PydFRVlggG6cgCZIa7IJD3BKhZ2PNXE3qxDfFd2LmL8RoiVgMWBkMiTHHWqFbW4RL25SnJ2zrOmflEmeXLnDx8DaToRIO9zBLQ8iG2G4Kkz5V9xza34oFgaqEgEJSQBnAmlioPPEgRYzsyBQp02jo5/WXR1z8O1gk1RfSp+e47mhefmst3nvKsmQymexYjEmSMB6PX2TNTU/5G8Jq6ty2yXEvR9csIpmWExrSbmSHtnMqhECapiwsLHDo0CFOnjzJgQMHSNMUeIGg25pqm7Cb8pDtZ9EQ93Sfqqpia2uLc+fOcebMGS5evMh4PN5Fsk3bVVXNlGn2st6n9d3vyOgFDJjCYdYN4QCEowOqzTsIpSMpwLBGmqxh10YkktbB+gENBhXFb1qMVxIDJgQYeSgCbIAGT8jHmJHFuBGyIXHpnzxDe5F8xWdIKnH1hKQDnQQyi/EpWho0FzRYMBXiBDNJYo3dTUf+lDI8Zzlx6RDHJ8sMO0PEp5gqoKVSso3zAS27mGqATVKyLMXW+jJBUR8warAhhnDF2LMUtZ5SHcaBMYIki9heh4GUDMMSR/1h3NaIydYa57OLPPDIKhvftUV1ewZpF5ZKzGQBKbtob4ROKsIkVk1LjIeO1CHKAUyJ+jTWy80CVHl0SBofQ+CkLv6DifUx5rjumE6CaKzeJEl2CLf5DbudSk2qa2NBNmgIp90+vFin3EtCaNJvpx1U7SiDPM8ZDoecOHGCW265heFwuHM9VaWqql21b621u2SF9kAzLUU0z6FN2ACDwYCFhQWOHTvGG9/4RiaTCefOneOBBx5gY2NjF9FOJ2K0tfH29ul7b+5vFvbTdm8M0lWBLMElHnKHGRlMmiC9DA09gh6iWtlgkl7Cnr0cSzlOSvQSaOnQYUC7sZSjAqwaZEOwBwXNM6ReAMJIwJzxBFOiSyUhSIzD3TLINkgW1wvTAymaZxiT1cvYpEhioiRRJaQXAgefTjj82AK3T4YsLa2QpAabWHTbMBltMClLTDrApgcQX1GOAuV5oXSOzsFAv5+SdNKYmkwgOCGu6QaIxlTokJBpgvgCo0JIDSHL8WoIicHkCUm3Ry/0OGkPcqJbcvbrF3j8sTGXTp5lNasob1kG28OUOcGsEcwEsgkSSkQ6sSAQGtOkE6lD2QJ0PGrr1OIMYhU3Ewv0pPPSjtcbzcvdzkLLshccmo11N5lMdhxp7X3TzrSmzSRJdpFqk5HVLssIs0OvQggkSbLLMm2OSZKEQ4cOcfjwYV796lezuLhIkiQ7bRdFwWQy2SFZiANAWZYURUG326Xf7+9rgTbXy7LsRSfyWo8AACAASURBVFZ6I7c07Xe7XU6ePMltt93G+fPn+eY3v8mlS5e4dOnSrjq/7fueNdBMSxD7WcR74cYgXQmQxgLfWigh92iumE2P5hUhWcKkGXSWkWQJszXBlBeAddwlT+IFO6mTyZYMLMeVcn3iYkEcSZCu4EXRQ3XW1cQj24pMoohepp60LLEXxoTS4AaWsJCRnkuQlZRwICc/1+HwY8ucfGyFV6WL9LoDvA9sn6mwKYh0UQkE38FXSrmZknQCea9Lr69MJoHtUUm21YUeQBYzv7xiFExTJN0SV9MAgsSkDTUBxCBOkUTAp4Sg9SLH3Vh/eJJxy3LKMQom37jIs2fP8+ipS6wfT9m6ow+dZdL1LZC1SLz9HDbBbHv04DqUy5FQJdbNFU1j5IIYJCTQCWgWXqjCNsd1Q/ulbyxXeHHNgTZ5tsmhsYCni4k38kLz044SaJNsI2U0Fmjb2s6ybIew8jzn8OHDnDx5kttvv51ut0sIga2trV1WauMEK8uSJEnI85wkSXa02SzLXmRtTxeyaTC90kMTBtbsa9BsP378OMeOHWM8HvPss8/y6KOPsr6+ztbWFsCO3NF+BrNSo9sDWfv4K5HvjUG6CoqLVqonlm+sFCk8mipMQoy59SBiCGmfUHaQI8uYU2uE1VXCYwXmnGAQ7EqKdHKq1XFMj1XFhFiMxmmUkHemFS5+EUzmCRrr3IoL5JeV8dYWjOH4Eym3r59gcfO1DLODDLtdknWHd0IROmxU68g6pKZHkltEMghdksyS2hQbukimdA5aDq8EbD/BiEOqS4jz2G6CsR5T5mhdACeSndbWpolxxtbvFOsRQkwlRutKZhYJDpumpL0B5wc9fnNpmS8ub/LfP3eJg5c3eeodPaS/gNkA1yvRtYCMPGyVSP8yqiO8Xcb4AcnIo4kQbIIJLlq5GqNE4uoac1xvzIo+aL/kbZLcq6D49DS8Iae2BdespDAtE0xrrXmeMx6PqaqK48ePc/vtt7O4uMhwOGQ4HJKm6Y71vbm5CURCa8i/+bsh8kaKOHz48I6UME2kV4pVbj+XWWi3c/78eX7zN3+TL3zhC/z8z/88Bw8e5Kmnntq510bymH7WTV2GZpYwa2mf7wB5gVietpBYaSzUCzeWHqoAtoz5/5XGhRY7oMsGiiGytojky8gbLqIXNzFbiowFUwk2yWLAf51khSje1RYCsTSt6UfnmwlQLQfKIkG8x24qpsq5588PcKr7JlJ3DNvp4CphfLbAblUUBYzzBDvoxhK9qqTaIckSTEcQE6c9xsdMNLEB09tCygoxfcRncftIIFGCDdBdjRYnKaIGcbFamDbZa5VBUotYAYnFf0gUySuMHWPyEukqtyRw+7KieYePHL2V969eYPl3zrH43gOwtIJka9FXl2eI78KqAzbIOhVqFN8bxJTiEFBvo7MtCOos2p+HjL0SuFaLqh0i1Y43nY6fnSaoZnrdWLRtoq6qaic6oiGve+65h1OnTu1M851zTCYTyrKkLEtGo9HO+UmSkGXZzISE5r7aFvuse5rGLCt0r/PbRN4MFAAf/vCHef/738/KygqLi4u7nvl0W40l3I45nhWmthduCNLV5j+5AwwixNRYDTG1t7LQmYCEWDtgYmIFMQN0DWKXkckSLG0QVtbRYhPOBQxZDD8tNa62a6JeKU7q1RKkzg4TrAqVF0QqBs8Hjj/X45R+N8v2tSTpEkEd5eltzq4lmOWEA3d0kXFKcqFCNvt0F/rYzGHSDGNTTGJRUz9e70C2EDPCFF3EDdFeh9AxSIhFcELpQMaI1Km+IhgUqwJYVDRGGtgJ0plgeqM63K3+EgaD0ZSN0tOfVGjHcS+Ot1vHf36o4r7XOY6OKz76J5ep3plErVotMhBY8MiGgXVHtjrGHzrNuHsUTD/WuGgt1661tDHH9cd+IUnTOuP0tml9si1PtKMOphMQ2u21w9EGgwHHjx/n1KlTLC8vk6bpjtxw5swZjDGsrKzsyBoiQq/X2xUGNgv7aaZtkmvQtDcrOWLWMzLGsLGxsaMX33vvvbzjHe/gAx/4APfddx9HjhzhYx/72M5KFLPIPM9zvPeMx+MXPavm+jc86WIUskiG0ZFUp+eqQTqKViEWXZlYSDLEKzIJ9ZpdJpqxHQsLy2i1jHbW0M5F5MIE46Lligv4VLEFSAnkMdNKtyAEgw5AtmDlkZS3rB3icOdNZN1DqO8R1kdU6w4ZZAwXDVvP9dic5AwPBPq3DDEaV44Q7QCCiokr4YQJpCO0G9BqgJSLiNEYgrYVcOt9RBOSQ+eQ/hZix8jW0RgiFmyUOnoB7ZbQnSAmxMUpAaoOlAGRKnoJUZQKV034hdzxeO54rF9SLlY8o5ssXJzwscM5tz26wcOrXfKyF9OjFxNUe+BG6FKPsVXM2S0642dwg5OEQ10oEkRjFTXpKTCXF14JtC3W/dDon3tlfE3HpjbHNQkH09lgbY++iLCyssJb3vIWjhw5ssvqa7TixcVFNjc32dra2onBbZN70+6VBooQwk7URdOnthwy/ftqIguaJIqPf/zjPP744zz22GMURcEzzzzDcDjkZ3/2Z7n11lt55JFHyPP8RY5HVWU8Hu/IK+0wtv360sYNQbqighQCXvCDuqhM7rHbIBMIPq79FZO64goISP2FMLVFHGuBgaZoMkBNhhwYI7KBXd9CzgXcZYf2Y+y/Jgn0hRSDHVsqq9y6mvFmPcVyfjvp4gquCKyeXmPkYOFQTj9fZOgtgxNCKHJS67HBvqC5FlUsmt6pUFugWkHnCLpukMrEtcmsR6wirkQu3sXZywcZXHiQ3qAkP3oRWeljzSZiL6H9CcEKygBGCZSgPY+mBcG4ep21gEiBOAdasZQpP5YKhRO0hH888jzSUXTd8atD4eSKcretteKBi0VvxKCDHCkM5e1gBwm985v4/tNUl4+RdhYhVbRjkMRgt+ZVxl4JtC2+5sVuSK+tw06T27TTqb29HW3QENL0lLnRXKuq4tZbb+XNb34zKysrpGmKc47V1VW2t7cZDof0ej0WFhYYDAZ473fOnbYa9wrBat9rMwicOXOGwWBAv99/kTTRHkCm77Nt8bYHl6WlJX7sx36MoihQVT7xiU/wyCOPoKrcd999vOpVr+Kee+6ZOTCICGVZYq1lOBwyGo2oqoo0TXeRczM4zMINQbpNaKomLq6LpgITgyoxFncwRot62RzTqgSWBiglOtuCxlVqrYupvWlAJCNsHkZNjh5dxS6CrAZ0WBeC2RKqREhQ7vr/DvJd+gb6yUEqETbObGElpbvSYXKmz+MP93jD4TH5rR1UBekqaBaL2RgfzeTOCJIE0j5UQ6RQJE1RW6JlHz3dJyQl5uQaqOFi8ji/6BfILr2Ok6uG92Vf587bHkONRV0H1UW0LGPZRh0jJi6HrsFHVSGrJRMjkBhELSZLuCOv+D2F3w7K/ZWAWCoMD1lDJgnWx2poIj5m8nkTl2AvwKx5EENRdsE9S67nMFWH6lgXM7KIOKq5pvuKYS9y2Yu8ruRwarY3ZNtYlO2Y2aqqSJKEt7zlLbzhDW+g3+9TVRXr6+skSUKn02E8HvP444/z+te/njzPAXZC2vaz0KeTJ6atxkuXLvHxj3+cTqfDyZMned/73sedd975ouP3u/dp69oYw2te8xq+9KUvcf/993P//fcDceD62te+Rp7nO5LFfn2eTCYA5Hm+EwnSTrjYCzcE6Tapu7GWrSGuVaax+pbkGKsYr4Q0roOmla3rvSqkJTHASmIFLIjWn1NIHWHRotpBto9gFrepDm8weNqRbAnrJxzDP4a3nrmVVy2+nixfRC/HIlsX10sGBzMSN2A4MCz2Dd1+Htdxq6uTiZ0gna3Y9UkXwhLqu/FetqNlLllAc0PobPLo1+4kFEMOrn0dP7qV39o8xNd1wrbN6Evg+PZB3rT9PKSGYEtUXFwWPYRY4ctI1LHrFShwFlIQk6K2rp2QGM6bwN9Sx5kETKakSYzxxVpSZ7Fbgi6EmHrc2UKMRQYxlTq9HPAZFEcz0st9OhdWKW95GnPuBAwsdGI9ijleecwik1kZYnt592fFvzbOsn6/T5qmrK+vMxwOeetb38rtt9++Y9E557h06RKDwYAkSVhcXGRxcZFut7tv5EDT3zbamuyjjz5KCIGDBw/ivee3fuu3+PrXv85oNGIwGHDs2DHe/OY3z7RuryV+9ty5c/z0T//0jv7caNLAjjU9LS00SNN0Vwhdp9OhKIoXlYbcCzcE6UqQ2JOQABo9+uO4NLn6DLTEeMUHC2ksDB5LDEZSo/ksGss0Qr1WWb2oYtfFpW8mC9jNnGI4piw3OfSg4e7nXs2tB04hrs/q4xNGzpMcSOmaAZef6GFtl4NHKnrHLIyEsFFiuoJ0tmKtWzdEfIaxBq3D08I6FE8d4WIn5eSrn4vhVskGG+lDJNvv4omzd/FQMDyMR0g4oEoh4LrPxuI5apBxXCstdEwsKp4QU5YJqGZgStC4jI5i4qBjAKMcNYbbApyFqI/XZK0CxsT6DpoAGwnSK2Hcj8/KFJiRQ7whDBU902OTNfxjF1gceEavvwPtrJCt3RBfm5sOe5FAexo9i2yuRgNun2etpSxLqqri0KFD3HPPPRw/fhxrLWtra2xvb5OmKd1ul8uXL2Ot5dChQ3S7XYAX6cLt6X27sHhRFFy8eJGTJ0/uHLexsUGSJDzxxBM89NBDPPzww1hrWVlZoSzLXYVpmvtrIiz20oln3e/Ro0e57bbbOHv27Iv2TbffoD0DaDseNzc38d6zuLjIaDTaJfvMwhXFORH5pIicF5E/a21bEZEvichj9e/leruIyC+LyDdF5Gsi8pYrtR97oaipZQIxSB7iwpJZQDuKdCtkYiB1qIS4bExaxdV4y4AGhyYFKmUMMxsr+Hp1hnKCXauQ0kGnwi4ZXNZj+aFF3nPuTdxy5LWEiwkb39jGG6WsUtaf7pB2U068OeXkWxKGxxZINgOyOYH+GtIdI9UyFAcxOohFx8XEwuaJIt5wae1NfPPsa3HnApe+OeCZP/0BLq++h3OqHDPKl9XzvQIfHT7DDy3/HndiOZoEWL4ASxdh5RwsnUd7z0HnGaCM5IkBsSA5hBR1BvWx9GX8nyfxlvsM/GgQsrq4uTpFy0DpBM1T1Ma6FVhFBlVsMw/4AdDxWO8IQ8G/KiFRi6ytEuwz+NEGfmHrqv5ZbxZcl3fkxdfcIYFph9gsct5L+2zObZNkU4ZxaWmJ97znPRw/fhyA9fV1nHOUZcna2hpZlnHixAlOnjzJwsLCTpTCrJ+mL21r8OLFizz22GNUVcXFixd56qmnuHz5MufOnePYsWP80R/9Ed/7vd/LRz/6UX74h3+YO++8k6NHj+7pdGvup43pe22n+H7yk5/kAx/4wE4iRnNskyK816DVEH8TUue931VOc7pGxDSuxmT5FPCPgF9rbfs54F+r6t8XkZ+r//5Z4H3AqfrnbcA/rn9fGWpBQFxcYNJYHysLFjauWptpXIamTKOua+NaZgIxnAklLiMRnUuIxhFl0xOGYIOFUnFDw+GHAnevnqB/5DDOGVYvb7NRBZZMj4Us49nxMiudlDQo9nLATEok20IPTNDqcKxLIBKzwaqAqiWUOSxNopSwsEo2fBx38XV88Rt/hW/4Lg6DhkAXeFAKVqzy9hOf49VveBIxwi995S4ujlfg4gG0m8UkBAdSBXAXCYMx0MOEol7FopZlXF7H6noIHjEVmIrXCXzawk8UymdL4pI8wXMbHu0BXZCQQRgTtEB6GbgM8gq8w4wVv1KRhS7mFsPo0hbmzAVY7lIlR6/qn/Qmwqe4Hu9IjWmLtiG2WYtSXsnabTuj2qUOGwu3cYhdvnyZzc3NneSH06dP7zjT2skOe03522FqzTF5nuOc44tf/CKPPvroTkhYt9vlwQcfZGVlhbe//e3ccccdAPzSL/0SFy9e3FMyaSduTD+rWc/w9a9/PZ/61Kf40Ic+xOc+97md42677bar0sIbR1/jLGzikYF9Nd0rWrqq+ofA5anNPwJ8uv78aeBHW9t/TSP+GFgSkWNXugYBJAmYNK4jplW9TQyGEjNRQgfEW0wS01LVKGp9fZzGKDONxVw0LyGpMKpUSy7qngIhlBz+yph3PX0LtywfZny+4ux/2MZ6Sy81FM93MOS85tVKb6BAjk8N1WAL152gG4fQSR2yEoiacwKPP3wnD33tLzN6YgV3rqJ89na2tg/xWlW+OunyjIO+h/fawIcWH+au/tNsIBwxJ7ELt5Ms3caJW/+cexZX0ZChJkGTBPEGY1LIKrTqoioEr2jwaFxTHs0mcYFKVQwBoxUGhyh0rHK3c2isLYZIoCIuvS7jBBnaWNzdrqMaEGMwQWLECAXiKmQ9ISxA6CV0vmHJwhnk4uoV/0lvJlyXd4QXLMU2kTTbpjPH6n7tbJuedrf3tTOvQggcPnyYd7/73Rw/fpzRaMTZs2ex1tLr9Xa0y1OnTtHv94Fo+VVVtSuFuGm7weOPP86DDz7IeDzGe7+T7nvq1Cm+8pWvcPr0afr9Pu9973v50Ic+xF133cX6+jpHjx7dSao4ceLETlRB+x7a99/cw/S9TuvWzXPs9Xq87W1v2zVjaGKRp593+/xmkGuu3zj1Op3OvtICfOua7hFVPVN/PgscqT/fApxuHfdsve0M+0LqdcYC+DoELPWo1uuDqURLTQQNATUV4NBxCtkkrujbhE8ZXy/5pVTqsR7S1UAxGLP4tcDbLp9iJT0EmXD59CqVKosHj2BLg+0vkSxaTJJDSbSY0y3wQiiOoFmClA7BoL0MKcbQnTA8/DX+8LH/mMUn3sDSs6d4bHSYzyl8lxQ8z5glEj648jS9O75M0nmet2++hvseX+a87zKsINiMe4+uo+SEQRaz8qq6mLgtIAGperEcZGLBVjH0TANIFa19BcQjAc6K8pB1vNMp0rFgHORxleXnc4duO0zu0cygxQDTcRgtoExQXyLFBC0msa5vcIRKkWXBX8qQb27js298i1+bmwov8TuyG9PyQhvtbXtZec32xuOeZRlFUbC4uMjb3vY2lpeXAbh8+TJVVTEcDncs2rZl27Zk2yQ0nVyxuLjIH/7hH7K0tMTS0hKPPfYYn/3sZ/nu7/5uzpw5w9LSEh/84Afp9XokScI73vEO7rvvPs6fP8/CwgIhBO69915gd03b5l7aRDsdrjU9IxARzp49y0MPPcQ73/nOXYODMYYzZ87saLfNs2yHqLWfYfv6Ii8skjldSL6Nb9sjoqoqcu3J+CLyU8BPASwf6qOdEnEBCUT9MRhwKdqvw6NsQK2DcYirG0wEKFEXQ55EorVHJeAgpIpKQX7GUAxKDjzoedeFU6ykC4RnV6lSZXh4gfWL4KzQG2ZI1yK2FyMU8JBs1qsHL0JmY4WtLGN8tsvm5kGOnHwSLXKW+oZ36xaL/gAXx/ClEPgD4PeNoZsU/EcI+a1/SnJbhnRex4FxxT/Th+lag9qMkBlYgiiREKMVfAB1sHAJtpeQVBBRjNiYDBEEqJf9QRFvkcSwKsIHFf4d8JdQDqdErTlITMzoBnzlwTpCIrBkkdEKYuPKGroBOh6h5Ra6adFECRiSTAhDz/grjs+tzTXda8FL8o4sL7/ohd+LcGdcf+e8Vts71l/jfT9w4ADvete7WFlZQVV3yHZ9fR3v/U5kwl7ZZG2MRiM2Nzc5ciSONUtLS7z73e9mcXGRS5cu8bu/+7v8wR/8Ab//+79Pp9Ph7rvvptPp7GijBw4c4DOf+cxOwZxpjXS6D+1BYPo+p3+vrq7ywQ9+kC9/+cvcddddHDp0aNf+thQya3256Wff1olDCIzHYz772c/u+Wy+VdI9JyLHVPVMPTU6X29/Dritddyt9bYXQVV/BfgVgNtec0jxoGODVBoLuSQB3TboSgnbNpZgtCBpFQtye+pFJ2tyUmLEgo3xvGYbBKVY8gz/vOL7LtzBYOUQ4j1F6dgap5hByrAzYHIhZfjqHmT9mNxVVWg2ioFok0VI6loHNmBGE+7/xluoykV+PL3Ag+e/iy+sHsZXnoNMeNLkPG+Vu/vnuPfVf8IntlO++vT3E7beDtm/h16XYDy9WzdAQrSeIfKtdzFlWEsk34B8jExWCKYXrV181LKJ94aJg5QkVfSvpUJqhectuFT5Sk24NtWoPUtANUA/oMQViTXP0TTDqcfYCjoTwqqimx5GGvuXgH1WqJKSNRd4YmGeHHEVeEnfkRMnTuxi07289NNa7/T+NpppclEUDIdDvu/7vo/BYIAxhslkslMZbHFxkfF4zMLCwp7XnnaW3X///VRVxY//+I/z4IMP8vnPfx7vPYcOHeKJJ57gueee45577uHee+/lE5/4BF/96ld3adIhBHq93ouuN21hN9v20pJn/c6yjOeeew7nHA888MCOI3HWs2x/bmYFTf/as4mmjaqqWFtb48knn5z5zOEqNN098DvAT9SffwL47db2D9Ue2u8B1ltTrL1R17WlAtTHdcmcQX1CnWwW95t6zTIvSGXiqgsTCyGg2zFpQLzHiMOg+L6heynw9iePsmK7uHPn+f/Ze/Mwu6oy7fu31trDOaeqTo2pVEJlgCQkkIEkSJjC1NjagDRjAzYKqA0yvAIKUQMq3Yo0CHSrwc8OqKCt0C+fQUQJgyiBVgMJSRA1M1SGqspQc515773Wev/YdY4nRUX7vb5uzPXJc111pXKGfc7Zu86znnU/93PfDAhUy3iCkosTeKQn1tA6LYH0XKQQEBVA9CGMjwjrESgkEiksSkSI+ogjJ+xju/Z5besp7O6bSL+FXhw2o9ksNAsbd3L38c9y/ALDN2b301ozxJ4wi8gayEZxkywhwFNx0ixqVKGAEl0ofzvS7YQSMNiCsA7St+BprAixRDE1TpRpzSPmmU4IrmW/KwiUJK0E9Z7F8TVCjTA+8hF+AWSNQRQi5B5w8sR29p7ABims8TFaYQKFdXVseqksst+gByISDSG37XlXT/e/EP+935FR8cfghWrccawKrfr+cgV78skn09zcfEBnvnryqqz8NVoysvo1qzUVjjzySLZv317Ba8vatZs2bWLz5s285z3v4e677+b444/nG9/4Bq2trXR3d1eONRYOW9bjHS2IM9aIcfk41eeqfNx9+/YRBAHpdLqi81sNF5SHHcqfqQynVOPDo3V3q89nIpFg6dKlB712/xXK2GPAamCmEKJTCPEx4G7gr4UQ24D3jvwfYCXwFrAdeAi4/k8dP34Ni8iOODYkRyxzfA/ZIFHaiceERYQTaqRUscpYCkytQdTGuKVORoReiE4AKj6JiZ2a43+dZGrbOKwukO23ZPsidAT1UybiNSZRvkQlElhjMTaPCYfQuTqMX4v0LGpnGvubmZgBiQ4i8p2HsXffBDYJSxGPQTQRDi3pQb445bdM8EvsyLewJ2zBOClqkwmWzf49k9sGwI5INuqYxmVMiA0GsbYT43ZikdioHZwjsG49mWiIod4sIgxwhQU5QtSQMmaNSWLjTaViv0007cLyc9fwfaX5lTbMKgaQD3CbLeN7S1zcB2QsRmii+hBNCbJFZNbGqpGqDtHajJhSg4fE2xsSCE2mVVPbbThuu2ZL/t2kWx3vxHdk5HWAAyuwaqWw6sRXnRzK91U3vMrHSyQSnHDCCUydOhWtdUUzocw7LQ8KVA8LVNOiqgVnyhq5hUKBvXv3smnTJorFIoODgxhjaG5u5s4772TChAns2LGjgp3W1taybNkyJk+eXPl8oxeK6t+rt/WZTIahoSGE+IMxZ/n5Yy04AO3t7fziF7/g+9//PqtXr+aoo44C4qGH1tZWLr744gr8EkXRAcLxoxczz/PwPI8gCMhms9TW1nLcccexdevB+x5/El6w1n7wIHedOcZjLXDDnzrmGK+CTYbYyMcqhUgGILx4GKDkI6IwhhtCCVZiiy4Qa8taRuhh1iKHJDLpgm8QQcgRv3OYmmrH0T4mmcatDTAqgc44OFrjjHeJ7dlL4OYRwkXUTIyTfxCCHxHoGp7ZM435mZBmB1bnZvFKBP1OyAYbkVWWm6etY/KUzdSkQo5ZP57v9kiC4TpEMYOVCVrG5UBbjDdyugMNqgD1/bFUYz62VzeeiAdCSiGFPRn2dDSQajYk6rJ4fi3CkUjlg42n8KzS8TCINSAMMtL4xrJbRLxuQ1aIiK2JCGtMrNswGKARCKkRaIx0RsplwLMYGyISCilrIRToiRaxJ4fs0YQiQhYDJik413d44P/+Iv//Nt6Z78gfmlXVnfNyHGzLP1aXv1rg5ogjjmDKlCk4joPWGs/zKsm6XFmOxkircd1yt//pp59m/vz5tLS0sHr1al555RX6+vrYsGEDmUyGm2++mSlTplBTU8P8+fN5+OGHD6BVjRs37oCkejD4pBprLRQK7Nmzh1QqdQBr4GBCP+Vj+r7P7t27ef3111mxYgVbtmw5ILGPdgaufi+jaWllHYzyJJ+UkkmTJnHuueeybNmyMa/jIQLOWYRfQrgBRAqLAlfFW17XYrEjruAK68p4qbAiTsTKYFRc+UkhsQmDLljquy0LzAQS45rAr0fIOpKpRuywg0TgjVe4qQSylMPmexFhEhnUIHMBot9BaQ2JBKrt9xzvZWnMziIamk0iEsxCkrCGVwnoF9DWNkBtex2isZlLZ67nkvE9tCbziJJBRiJuwPmx9Y0oBQinF5HshVw9lJrB89hUCCEyCKUI9vUxuL+OtmNCGicVwUlgtIEwRObzCBNgVRQPPUCcfKWJTSM9zcmu5TPK0oxAi9iBwmY0ak/AUJ0FImQRRCAQwUiVpEboaEog0z6yqQ7b2IJtd1EFi9sZktwfgis44ph3nSP+HHGwZs5oWtRYzbVqo8hyYkmn0yxcuJBkMlnp0JcbV2VGQzmRjVU9litcpRQnnHACTU1NRFFEIpFgReYdUAAAIABJREFU1qxZJBKJSvKdMGFChWJ22WWXcemll1YaWOXFYfRnHP25N23aVPm9rP0wYcKESpNxLDPMg2G9ixcv5rOf/WwFUik/TilVqZyrdxDln9EMjernOY5Tmcorc4vHikMj6RqQWYksGaSJkDkHwj9gvEQCYV1iTxwFjgURj/5aQ6w7oBQ2JdCuxn+zxLTf1ZMe14K0LromiQjBr3FI1Sq8Jg+ZEohgH8IYhDshriAV7N04lcc3LMAUS+gdkN9+MusixSpr6LCWvJVkavr55onPcemRv+M1o3mwcxyiFHuITa6VfH76HhpbdIw5h1GsAxGFyLCA8LsBB5ttBenE/m2uZGqdgwmLyJ5BzJClJB2ydQkKAlS0HxMMYKVBpz2M44zYwEfxebASq2xc+Y/wmHEtc/2IemGwocH2hbQPh6gGEPlYBhITxZSzQMTcXRU3MYVLbNjpNGDrmlFTHNoGLbMjgXAF2XfldP8sUQ0fjIWtjoW1wtu36OWKdvr06aTT6QPGc13XJZVKjSk0Xo59+/bx+OOPVyCGXC7HunXrWLVqFR0dHRXmwr/9279x2WWXsW7dOpYvX15JXJMmTeKOO+6gqanpgMp5dBU9+rNNmTKl4tqgta40+8pea+VFZ7Tl0FiwTHkRmTdvHg0NDZVz1N7efoDoz1jV8ujKv5x0yyaYQoiKU8ZYcWgM0QuBkSJWu5JATQiFBLhBnLDkiE2NL7AiiBkGJgI0VltEBLIkQEXYwYgjtzrMGdeOkkkMCjIBQkmU55Ea52NsCaPz6DCNcGqQ0gNXgy3i6xay+Qbe2jiTDYMzyRfSDIo8HZR4zRqmjtvKF45ex/TDfdqbO9nZ38QR7iA2D0gT47L1I8MTVmDliK+ZCbG1vRAlsbIW/BFrIBEvIAlbYqCnRJ0RBH6KbGYcW3s2c0pDnqEdMYBbPy2HqK2PK2YjY0zXWnBC1lnD1ijiYhHgm4DIhHzdLTLklGLmQi5gvDRIVyCylsizGCIUAihB0UclnJglUoYrkgLtNGHHFRk3eYi2eof9/Zae0qGxVv+lxcFYCKOT7Vjb8+oqV0rJzJkzmTNnzts6/+UJs3LyGmvKy/M8stksb731Fhs2bCCfz9Pf38/OnTt57bXXmDJlCnfccQfTp0+nvb2dnTt3VhwaRn+OsRLYwT5fWeuhrq6OMAzJ5XJs3bqVU045pZLkRo8jV8e6devYunUrf/d3f4fv+wRBwNe+9jUGBwcr76s8jFGupqvPHbydA1xeAKy1FSPOnp4eenp6xrxWcKgkXcBqB+OCSBqEF4u8SBlhExr6EwgnAmtHqFsCtAeeRsYCXAhPEJUEjV2G6TVt5OpSlLSgRjKCocbWOKgiIBBhI7YxAXkBAwG2WWCVxGn4PVP3ttK9bz5dSMariHab5CK3l9dMEx1uE+1NHr8vucxTIZ9esBFhVDxFB6AsYLE6hkGsFFiZgcR+bJhGqBpEQhAVArSQvBIGHC8NIieJ+h1K4/MEWQcnMDSVNKq+AdPQQ2GXINNRpIEAmi2GkT8sFcs7NhHRbUNyMsQLQ3JRnr8LA/rckImliDP6cwgXpGuwroZai/QAR0Iinlazvhpx8RhhRyiBcH1sQyMDMwfp7RpCeJrcu320P0uMdsMdq+oa6/dys6t8jMbGRmbMmEE+n6dUKlFbW3vQhF59vPIW3nEcpk6dSnd3N52dnbS1tTF58mQuueQS1qxZQ0dHB+3t7fz+979n3rx5fPrTnz4goY5OutVc2Or7oijCGMPq1as5/vjjESKeniuVSpRKpYoQTlkDoVgsksvlDqhcq89VU1MT3d3d5HI5PM8jl8txySWX0N/fT1tbG2eeeeYBi9NYC9dYcEX59oGBAfr6+hBCkMvlDnouD42SxRDjBMpgHYMteJAYUdEKfEQyVtzClCAKoGgAjchJZEEi8xbtGGS2xNHb62lqaqFeS5JWYozAJiVWWIwO0dksNpeIGRNRAb1zMq9tOI1cryHsraGzcy5ThUOPhZ1AjSM49si1TJr/E7bXDPD0oMOmvY3MsQobCURiJOtbBdaNaW6hiKlu2QIivxvjD2BsG/hp8C1OoYjrglvvsijKUtyuCYYz1I0rEuxVCNNPg9PBlJ4Ebv8w6Sn1pBdaQs8SJDsx43bHE3rKggJExOFE3OpZGt244peB5gYbMD6EnsGQM7eVGJcQSCGwiLJ8A8ITI+4bKhZzcEx8TAVW2XgKrqaWnsZJbK6ro1CrSA+8m3X/HDHWNnmsZs/o55QhgjJWe/TRR9PY2FiRYhwtbF5O7tW45dq1a8lms4RhSGdnJ1OnTmX//v3s2rWLmpoaFi5cyKRJk3jzzTdZuXIlmzZtqujeHmyLX45qnLmc3BzHqZhWLlq0iGKxWBnWCIIAKSUNDQ1MnToV13UrmhBlC/dqfLv82kcccQRLliyhoaGh8ro33HAD48ePp7e3lzPPPJNx48YdsCMYPXZdHdU4shCCnp4eNm/eTLFYJJ1OH/Q6HjKVrrCxdoAdTCAiCb7GSIMQUWxVE4ZQNOggJE7AGhFZZFEhipqIEpN3w/SWw3CSSWQQN5CEjR9upQGvgCjUYdMO1nWwpkQhjHgpM5HtvzmJw0stdGR96kXAExgC4TB3xotMX7QXlEdO/pIdu1oohAEiqxDWjwcotEAIFReIVmO1AH8AavYhojqkaYWEg7RBrGeQUPQUCjT1DlPoSTLcm8DblyR52BDG7YVMLTUTBjC9HqVtBjF3GGsKSBNiAg/R04L0iB2BdUxkFiOVqVWGQTfks6Gl34Wir9jplri3EHFqrUeiFIvE61IIKISjEY5BWIPIh4hkLODDSA6O56gczMQ6eoJ2zGAH8zk4XvVu/M/FWFVYtVRi9W2jn1OuEidPnsyMGTPGVASDtydFYwz5fJ6XXnqJ7du3c/jhh9PR0UF9fT0/+tGPKJVKzJ07lxkzZgCQy+Xo6OigUCi8bUEY7fQw1mer3sr39PTQ2NhYwYh9368sEmWqWVn1rFwxV4uPj4VHl9/D4OAgn/70p+nv76dYLLJz507uvfdeTj31VBKJBMABLIby8Q+2uJXPVU9PD8YY5s+ff9DHHTpJV5hYQ8FGUFfARgqswZoQMWggimUcTcFgdQQyQGkDckSwY0uRqd3tJI+sR+XFiD0OsXShFlgijNXYdA0kfEQ2QsiAVMsG0vYYnuydwnsw5DDsUz4DbpZZgUf94GHYoV5oTnDbpIDzvSFmJjXCT2IcEIHBGosMgtg5VwVQ2wtEWDURW1ODJEDYIM5gCYHRIYmeYfKZOuqaAmxDSC6rKXQpaqf6ICOUFjC5gMmkCHb1o0xAfU0dnmpEKCcWCCJWFbPW8BvH8oYXMUtoviAMv3YMDUrQHmiSuSzjksSawhisjTDDFmo10jXxCLCOTUDLE2/okSk8EzfPrO8RTWigb6iNrf3Bn/Ev5S83xsJuRw8CwIHTUuXEU8YnDz/8cJLJ5AHNooPRs8qJq6amhnQ6zY9+9CPe8573kMvl2LdvH319fRx99NGV7bwQgttvv53zzz+fmTNnHvR4Y3FvxxpwSCQSB1SN+Xy+ImYOMb5aLSjuOA6+71dciUcvKK+//jpvvPEGs2bN4vOf/zy//vWvaWhooL29nWQySUtLywGvP9rGvvpzjD5v5dvCMKSvr+//G0/3HQlhY5nC/lpEbRE77MaiLkSgilivNDKJFaIcMHmN1kVMaJEJgSZi3laXWa3jCYsCNxQYBdKIGLoIAVFADCaxIocQGVQYIEpJtg8exv+WeZRMM4jgTddw2zGv86Lcxc/WvZ+1hTRn9wMp8GsVx6aKqEBgKYHrQi7AojHJYYSfBevHWrvWjfFWU0IYHVPbXIl1FZgixZJHdncNU1P7qZ+aQu3tR0mNKz1ko4S9Atolsk0gTSuqRqCSLjIKsW6IEAZBBEKDr0koQ4KI+23EC4QIYyloy96BDEftyDO+1sfpt1g0UauAjEJ4FowZ0XEgdkYOY54zNnbwsFrFTTUNxldERzTQlbbwozf/fH8vf6Hxx5pM1VtppVSlCVa+PYoi5s2bx8yZMyueXtUW7dXHKEcZB96yZQv/8R//UaFTvfnmm9x22228+OKLPP/886xZs4ZzzjkHa2O5xmOPPbZScZbf4+gKd3TCqq7Sy48pK5FNnTqVhoaGymRYWUqxHL7vV3Dr6mGN0VSvRCJBIpHgvvvu44UXXkAIURnkOOqoo2hra6s0EcsDEX9qN1D92cr3R1FEV9eYk93AoYLpCqDowrgM1tVYJwIiiCIogB1U2BzYgkCVXJAgCyK2JS9Cco9kSt1EwolNPFQ0WAk2GVu5Cxs75gonj/CHEWofQkhIHgbN49kxaYiOZMhWNcSvRZHFM19g3lEb+eD0YUqTfs/TjYPYVC1C+LHDBQIiEKUigj6G2E6kd2GViwkOwzIOm0piG11IKXAEpsbFyAjd30/udwMMdGVoaIfmKXvJZWoQTp6Ul8BvcnBaJG40gDoiy15K3J9SyLYkYZ3H5ihglxOSdzW4Yayj64XxguUZuqxmv47iyloEQERTzwBzMgKvxuIOWchptDZIRjQuhAURC+dYpWL6nXQQjkAYBQmDDQUiZ2LVsRafaErrn/XP5S85xmpGlf9fTljlKra6qkylUkydOpUwDHnwwQcPmFaDt4/MVr9GR0cHHR0dbN26lV/96lcsXryYY445hg9+8IOUSqWKFu3oBFVO6ENDQwRBcMAiMDoBl99/FEXkcjkGBgZoaGigqamJbDYWWEomk/i+X8F6pZTs3buX++67DyFiw8jNmzezc+dO8vn8Aeem/P66urro6ek5YLFpampizpw5FV5yGV8eDU2MbqSN3nlU47/lpD1WHBKVrkVi3RCjNaQEKnChGMY+YY7GuhGiaBBFiykVCUVAotegJxvCfMjpfT6TnVpkPuIa6WKIMEYhExYbiRGzywaE7yBFAmqTyGyIrR/idF3D+9s2sWpfmn3Dc2nrm4wM+xCexyML32SCaUR5FluKYl0ImYfkYNzdL9VTl2hH4iEcF0QJYUxcPCIRUsQ4bC5DsUtQ6kuhKOF0jcOkB0mMKyIHJGRKOC0CmREIXcAe1oRT7zEuFNzkGxwb4BDRLA3n2pDTQ8vHEppZHiAEg7pIgy4yS4bcHhVi/VxhUUGes02JiVohhwyZBosnJN6wRaUNaActTezF5uoYfnBH5CMdgdEihntcS5QUYB0oKbT3rjHlnyOqk1Z55HV0w6hc1QVBQCKRwBhDGIacccYZTJo0CaUU11xzzduq2tHasNVb6tNPP533v//9rFq1in379lVoVVJKvvvd79LW1vY2T7HqKIvojE7o1U2o8oRZWe+hXK1Xe665rnvAYuI4DuPGjePmm2+uTM81NzdzzjnncMYZZ/AP//APlRHfoaEh6uvrOeqoo7jtttsq71UpxTnnnMOECRMQIrYLKkMU5Wp6LJ3gsareaifl/1Fpx/+OECNjqAITY7loRGiQxmCthqJBmBARRlgz4mKrRmTpdkXUmzZUYx0i6ZJwPKw1CONgIxtPrkkBJgnSjbmtGEgA2VYSbsDX37OGbcOCj/+yieVZOGPIZ8J4iR0vEZkhRM5gPItw+hA5H2wTWBcpXaQPgYU+naPNkdg6hXBhbWDoKha50GTZs6GBhgGf2pmduDNa0T39iJ0SXedj0wF2m8E2ZaExieMm2Os5/KeAzb7mOixpDEIa2hzDNyzchOEJo/lwpPk4mktUCaUjpkch+CEXCYPMRLwwPETdoMQRMTlEa1Gx9NHG4Nj4fBIorB/GokKuhWBEgEiZeEouL+LzNWJFJMQh8WfzFxejscTqBFSO6s579bY6nU5XKuByM2osjLh83OrXSyQSLFu2jG3btvHxj3+c5cuXc8YZZ9DW1nbA48d6n9WYcm9vb8VuRwjBmjVr6Orq4qKLLmLPnj3U19eTSqUqjhJlDmz10EP5M+zdu5eXX36ZTZs2cf3115NOpxFCMGHCBL75zW/yiU98gieeeIIrrriCa6+9losuugjHcZg+fTpCiIq+wgsvvEBdXV0Fbqn+KdvwjNWsPNj1qW4aHiwOEXjBIiKBMBpKsS24tTFlyapYhtCWBKYENmeRJQvKYjKWGTsU4xuaECkPgYinqqxEmiBmOIwIfwvlYlUsqiOsgwjrkLqANH2k6i3z2pr5wsK1vG/CIM0JjdUGUSiCb6E2gxIdiHw9NtkCyo81ChIgPUPRD9nmK2x9AmND2L2faT3DzE1IZKKBw6ZmccUgctBDZodQDR6FtgzSzyHDCNlq2JXw8dK16ElpnkjkuE518FpUYLHVXGU1+6xFOJpFrma6B21KIIVGiZAOAdaL6KGARuNqwz8MF1m8Lkdzn4cvBdYKDBZTkkTGEokIYwPssMXmNUQhhAYKBluMsEEUNy/NyPi1ULGjhXKw8t2RtD9HVH+p4Y+PAldDCzNmzDigOq1OhtWJdiyIofzYVCrFMcccwx133MH73vc+mpubD+CuAgeojFVDDGWpyG3bth1QDU+bNq0yoHHYYYdVsNoyZSyfz1cwaiEEO3furDTOVqxYwbXXXstrr73G4sWLufLKK9m3bx9CCI4//nhmzJjBhAkTKq+/c+dOrLX09PQQRRFKKa6++moWL15MU1NTxTa+nHDDMKzwhMvnevS/1YvdaMhkrIq/HIdG0jUjGGkhplRBiE0aTNIBR2GToGssOmWJIgPhyEhkn2WaV4vbVIfUAlkMITAIHSELJp7aEgqFhxQ+MllCKDe+3S/QEWbYqHbQN9xA4CY5+yjDbYt2oMaBIECUQmShF6GGMd5h2MYkIqERCYP0DIGK+cJ1keYEEcUNruIQZmOaxBuNvNHbR6cEOSmFWpgn0FAcHGBQRJwfZFkfaFRzAjUtReMRrWyodflIrod7wh1c02v5oiyxT5R4LDJsEGEs7gMsdgz/S2qWyhJGB8wzEZ6MSKsQayJeygW0ZIY4r0VS02xQQiCFBQtGaExosMV48ZIlG4vhhHLErWNkRNhGI5OAAps22BqwCYGpM+jEofFn85cW1Tjp6CRb/l1rfYAqllKK6dOnVzDQsRpY1U2o6qQshKCjo4ONGzfS19dHsVjkrLPO4rbbbnubslm5qh6dxIMgZrrU1dVx4oknVl67XIH/9re/pbOzs3KcMAwpFosMDAzwt3/7t6xbt67CUmhubmbDhg1ceeWV3HPPPVxzzTV86UtfYu/evTz66KOsX7++8vqnnHIKN9xwA7fddhvGGObNm4fneaTTaay1vPzyy7S0tHD++edTW1t7wIJRrcVQDbNULzJjQSnla1C+DgeLQ+PbYzSylEUMRohhgdWxRY+wChk5yJJCGhBWolM6npoSAr9oGJduRCRrARk7TgiwLoBEONAlJQ8Lh6HaDNIKpNUokQUvItOQpS1sYWOqhkFtQFkiv4RwNSQsOFnwi9hgPCQSCE8jnAjhRlgV0StKWFvA0o/eM0C+s5PIKOScHLK2h6m/dWkZHABPEDQGUNtNdtBlKLODTzVEHN3SQFfCZZfrUOsWWRNs57X8HlpVA/NbNMsye9BRiUVOli1aY2zM4HjOBKwqFsDZT1dpgD35HI4tcpYAFUT0hxleH8qSb/MRvkAIkAqMFRgLIgCnaFGBRejYkh2pEL5FuAYSGusZELEQjgwVouCOuHKIWA/j3XjHYzQuCm/XYwAO8Dzzff9tVKjRzaDOzk6+853vMDw8fIASmRCCbDZLW1sbGzdurIzLlpW1RsdoeKJcWVY3yfL5PFEUVZLZ1KlTaW5uRog/jN3mcjmGhoa49dZbmT17Nl1dXZUhjDVr1rB27VpaW1tZsGABy5YtQ2vNokWL2LJlS6Uyfe6553jppZcA6O7upqurC8dxOPvss1FKMTAwwOuvv16ppsvvp3rqryxic7BdQPU1GM1w+GNxaIBz1mBDG2OGtSVwPIgkshhBFF8IiYi9ygKBSiu0EzFrZwJ3fB1W2vg5mhH9A4VNKoTjkLKS+kSOyChEogBCYgux2tcxqTwErRR8y5Z8RLOwDDpQX8zhkMH6Ghs1I5KC7aWI3yjBNF+yUAmK+SJKa7QDW7enSPY7/CQvCCbv5RNzWsmR4ZXXaphX7CeKXL6dybNFDXKrl2S3beGc+gT4CTaFJYwp8Z2wk5MF/KqxkU06w1PFgOZEEuFq/ipyuNnVsXVOwnJ9YQhtBxC9UOdarnM0q7TmZCwzhnLk9vWhh8AcodChxtaCYyXCFWhf4tRIHFdiIhtjtpEBUYKCA65FRh5CSayUWByEYxFKx+wNK2Ia2bvxjkc1b7Qc1VVYNWRQbkTNmjWrYjFejuotsBCCmpoa6uvrK4aM1XHMMcdgraVQKLB161ZaWloYHBysULiqE/j27dv5zW9+w7Rp01i4cCGFQqGClW7bto1kMslTTz1FEATceOONZLNZXnnlFebOnUsURXzrW99iy5Yt3HrrrezevZtzzjkHIWJ1MWMM3/rWt1i8eDGrV69m06ZNPPXUU5WEfeaZZ/LJT36ykjSvv/76SrVZW1vLDTfcwKpVqzj55JOZMWMGuVyugheX/y1X7GUstyx3ORaWO3rHMRoH/2NxSFS61hoiN4s2JWwQYIMSRuYxtoDJh2gzIrysNcqAdMCUBJOKHiLpEYVhTH3yLBiJsArjKop4NCWKXBg6tKgSuCVIhOBGIAcRGQcrNXMxzHNcdCnit0GeJXIfAyLPnWE9T0uBUJLpCbjQydLW20Vp2052bx7g9q19dAznqEn08p/Zfq5s7+GqwGdjVxfNCc1Hjh5AFUsM9bxFvchy3dQ0U6bXcmp7MzbpkNdFHvQMbY6iXzTzajJJ6OcoWkNSpjgrWc985XF2SmB9iw0idhV7mZMtcKJXIIgc2nzFnATYQLBnOCDR3cuZm4tka32MgdBYwkihELjK4iiQVsZmHUQYE8WOFPmIKCiiixprAyhG2ILByBBTHp4IiH/cg9Nh3o3/uSiLhI/V8Cn/wB+wVWMMkybFzkDl6rc6QZQZA42NjVx44YWMGzfugNerTjTz5s1j3rx5RFHE7373O2699Vb6+/v50pe+xE9/+lOEEMyYMYOLLrqItrY2SqUSnZ2dLF26lLfeeotUKsXLL7/MVVddxVVXXcXGjRtpaWnhIx/5CI7jVNgF1113HVOmTOG0004D4gm3Bx98kAkTJtDf38+rr75KFEUUi0USiQRnnXUWCxYs4Oyzz64sSjt37mTOnDmcdNJJBEFQUf8yxrB3714SiQTvfe97yWazFaZHGeettpQvN++qdwdRFB3AZqiGFP6rcWhUuhrMQBCP0EYuhBHWl2CieMrLaGykkcUQGwE5i9cZUqfqWeoLzhAh5xAirId0IEKyx3gsTRdIF32OVQEfNpaNaA63Eq0MeccygRBpi/RozUO2RH8pz48TmoUyTY1tYDYRQ8U8P8nuo6lPMqsnRWPRhyZFYyKBLA3w730htzQWyNeBbCyyRkR0ZCRzvAA3FSKGfFIyyZUtKUpuik1WML3Uj8r30RdpVqeaeLU+wfEiyQ/RHB8Z9js+bSrJ39RKLidiIDJs0DnG5YqsL/ZTaNTck0lT1xDRXQP9gcAEEWv6erh2T4h3XCPUCEwp5vAaYTABKCtxpcQ6oAONdQxSxnoMGAejJVaF8UCJjnnQhA6U3Pg2NHgGiu9Wuu90VFOsqm+DA/mj1c2xMoa5dOlSzjjjDD7wgQ9UHm+Mobu7m6VLl5JOpzn22GP58Ic/zMaNGzn88MMr47/lZlRPTw8PPvgg/f39PPnkkyxcuJBUKsXs2bMZGhriJz/5CU1NTcyaNYvGxkaEEDQ2NiKl5N///d+55ZZbKlv5tWvX8tZbbzF79uzK9j2VSnHllVdSLBbZvHkz06dPR0pJX18fq1evZvXq1Zxwwgn88Ic/5LjjjmP//v20tbVx1llncfnll9Pf38+GDRtobW1l/fr1FAoF7r77burq6tizZw99fX0YY1izZg3XXXcdnucBB4qil7HtMld3tGNE9eNHX4P/mzgkkq4QFleAzcsYIvADjCsQGRl7iHkCQheRCLGhxgwIGnfC9kk1PJlQnBDq2JxROBSNz12hz2G1BVZIgU6U+G4oeMZAYAS3augQgmVhLQttyF1OyC4iXkVzs6pnkZPggSJ8aqiXT3YqZMHhBeXjOHnc8fv4tVH8oiHFpRNq+EapllLPPvyE4MoFef65mKHRdTityXDnoMNxocffTJZ4TU2ssJr/pxTxt4TUrf0NnYVhkqrI8unTOLpuCr+vM/zKavKBj3Ikc1yLT8S8KORS3UMQ9XFNreVOVc9FJZfNtQEiFSdUpxTQ1Jfho1sGCKYncGZ7iDzYfolyA4RrML0iVmQDrLRoK2IDipLAhvEosDQOGCemwgmJdePGG1Iz0oXDBgL7Lk/3HY9yR786qrm1o7e3ZTWx7du38+STT3LCCSdU7i8Wi9x1110cdthh/PCHP0RrzSOPPMIzzzxDqVRiyZIldHR08PWvf52FCxdy9913s3PnTl555RU++clPsmjRIpYtW8Ytt9zCpz71KaSU/OxnP6uI1Pz617/m5z//OZdddhnf/OY3KZVK+L7PVVddxZe//GWampo47bTTuPPOOznuuOM466yzEEKwYsUKHnjgAc4//3zq6urYvXs3yWSS5cuXM3v2bH73u9/xy1/+knw+j1KKuXPnkkgkmDdvHpdccglBEHDNNddw1113ceGFF7J58+bKAuM4Dk1NTXzsYx+jVCod4IhRrcBWPdE2uqIt47zlc15e4KoZDmPxd0fHIZF0gZjQ7wcIoaCk4qZNySAKCmoE2oswWYk2IUIHTMw7nDwuxd8IhwiNUeBYxYbI4b70EF7kMl8LerHsVIIfS4kyklutZSXwRsqw0bi8HDpcgMPKpMs4BdpV7M5keXFTRI8sMn+W4GON45EiQbGnyOrdEc+kgNU1AAAgAElEQVQXizxav58VnuSYVIROpJDWMidSHOU38sVEnsEWw6f8enZ5Kb6N4eVIM1/AxXW9fGV/J3PaSkwrWU5XgygxiZ8gyWkPx9OcrwS36SJ35TP8cyLDib2KvnREQ7aWoMbBehrraAQRfs7wlYEsYbYPv8kjM9nFBgorJbR6uFmXUIeEUYkwa5GBRboSPBBWIQQoLWP+rasxhtjW3RExp9kpsxtELJzujSibvRt/lhiNL1Y3b6oxSiEEEydO5KSTTuL9739/BV6QUrJ+/XruvfdePM9j/vz59Pb2smvXLp588kmUUixZsoSVK1fyxhtvsHHjRv7zP/+TCy64gGeeeYZx48ahtWb37t38/Oc/50Mf+hALFizgYx/7WIUatnr1ap5//nkee+wxVqxYwfz58yvNs7lz53LUUUfxj//4jwwPD/OpT32KXbt28a1vfYuXXnqJY445hosvvph77rmHuXPnMm3aNM444wyUUvzkJz8hl8vhOA7nn38+n/vc57jzzju55557OOmkk+jr66OxsZFisXgAlOL7Pl/5yleIogjf98lkMgdg0WV3jDAMK5Y7o6lvZby3fA3+2PX5U3FIJN24lDdQFOCFkI9dgEXJYl1BFCoibYEQZSUqJ2j0HHpTLhcqyxIEvQouD1w8L2K+UUQGLjeai63iU0KwQ8d+aF2RoEtoPFySjqVDCB4sKV4INPchWORYvlLj8OoUyUMDeU40lhOlyxzRTE1DLefVZTh2X8RXs/0M10jyOHxJJjhND/DZXMBnxg/zL0473VbzCyv5ri2hXMmPaxOkiyFPDwVsmhOxqCskNT7F/ppWNruWjY5FScPfOrBMBbyZ62drZoh/VCW+3dBInRjPQ7VDnKD3sphaGhzNkLacbQPOK2Z4s7bE65MS8R9L0cZmlQ0OInBRSYeoGMM1BhObWfoC5VmUI5GeBaGxOQF1Qaxt7EfYkotVBuHFWgxoFbt48Kc7tO/Gf2+MNVpaTWGqNlAsT3Q1NjbS29vLRRddxJIlS+jt7eXyyy/H930WLFhAFEV86EMf4qKLLuKWW27hrbfeQilFV1cXXV1deJ5HMpnkrbfeYvny5fzsZz/j/vvvZ9GiRdx777288sorPPTQQ5x44omcdNJJzJkzh5qaGs477zyOPfZYvvrVrzI8PEw+n+ef/umfOP300/nMZz7DZz/7Wb761a/S3d3NL37xCx555BGUUjz11FPU19fz05/+lE2bNnH88ceTSqXYt28fW7ZsYePGjSilOO+883jggQd488032bZtG3fccQff/va3SafTLF++nBNPPJHFixfT0NDA0NAQZ599Nueffz5vvvkmr7/++pjsA6VU5fxV47PVDsijm2RjyUdWH/NgcUgkXWElMkhgVYAdFpgoiP2+IhdjNBQsjmexvkHUC5Jdhi1NaT7tKe4zilmuZokV1CvBVY7klxa+J+FLRvBeR/MDK7AyRAvFOS6sMTBeh3w+gpVGsMmJ2OEIpimPlJAEMuKepiQZZfnXYga3e5DOmjz1qWa+X5PkuYn9PJWBfdbwL40TWKgi/mkg4sbDUpyvxlH0LduDAt3OPj4e1XACTawqGuoiw7TUOM6ZMpdnJgxyntPKCfWt3IPmFzoCisyONM8FA3xpf4FTW2EDTSwjxNg+nuiFGY7PB2ojCpHlcWGZmg/ozg+wfoKPdRXKKqRywXWxGYkUBtJJEulEzGH2iuh8iajH4PgS4ceuHdaJEMJFBhJBhLUKK0JEUcbuzIKYXeKqGO55N97RqJ4+G43vVjfQyo9NJpNs2bKFJUuWcP/99zNr1ixuvfVW6uvrueqqq/jlL3/J9773Pb74xS9y5pln8uijj1YaQmeddRavvvoqbW1tfP7zn2flypVs3LiRHTt2MG3aNGpqaiiVSvzzP/8zuVyOf/3Xf8V1XTo7O0mn03z/+9/n2Wef5ac//Sl79+7l/vvvZ+HChdxxxx3ceOONXHDBBRQKBbZv3053dzfXXnstJ5xwAqtWraKuro5p06bxgQ98gGeeeYbzzjuPE088kXvuuYef//znCCGYPXs2zz33HF/84hc57bTTWLduHcuWLcMYw4oVKzjyyCM599xzyefzPP744xx++OHs2bOnwuMtN8rgD6wPgEQiUfl/2Tm5uqlWPbZcfS0ORiE7WBwSSdcKi60JMDmL9QymIFEEiILFRiCMgTwgoahC3thheGaew2Cd4UM5g44UWhFvuQUoYZgoDZ0WrtaSZ5GkrUUSYa3EWglScqkyXG0lmwX8v1bwsolYYDUa+GYKZCKFrxLcnt3Ls7uz/P2EAjPqx/OkauC84k52RimKNV3M1W2Mb27jVN9hWVTgB+FuQBBKQUYqJjmG7Uoiifi4cGhtPoKWQkjagUxC8UrJ8D6jycsSX5G7kFGJo9MtZCKPz9XAxzJ7EEXN7fWtXNbo8FFZpCsy/HhnyKqdO1gzPlYdt0qBVBgPSBkEMh56SIBUDqQEQvhIEeE4w9ghQ7A/QoQKOVEihQYRYoXAOjYWNodY2FyYeDS4aP/gkvFuvGNR/oKPNlEcDTWU6V1vvPEGK1euZHBwkL//+78/4Lnlym7ixIl0dnZy9dVX89xzz5FOp99mbnnppZdyzTXXsGnTJh5//HFefvllFixYgDGG5cuXo5TC931uv/12Vq5cyeWXX86MGTN48sknOffcc9m5cyfFYpG5c+fS1tbG6aefzte+9jV+8IMfAPGWPpPJ0N7ezptvvomUkmuvvZbW1laampqoq6sjk8mwevVq/vqv/5piscg999xTEWPPZDJ84Qtf4KMf/ShSSm6//XYuu+wyPvKRj9DV1cVTTz3Fiy++yCuvvFI5j3Ag17h8WzWkIKWsUOLKer2jRc1H472jr9fB4pBIugiBtRKjIiwC6sCEHro+ir/o0sY/rkVlDZuMZLjRwxrLFk2sjKU9nhGGHmHpdQP+I5JoYI2Q3GQUX9aKNkFsRSMNEGsyKKmZLSVTQrgrjPhfEUwFVnoO+6TiX4AHGcfkyf1MLuUIch1M99pYM97yN0hyJY/DvZCHbIGXGSDyhmkNBLdHdWzQmu+qPB06QeiXuDjw+IgyvC8IGJKGH2vFU7mI95sc68QAezIOOJZJYQPXpT3+Mexi1WDEIqeRWxtrwLFcFhZYWwdOZ8C27u0c6XkMtTjYeoFwJDZyMJ5GKgmoeMhDS4R0EL4LvoQ6iSkm0c19mO4It2Rw+yTUgvUsVoQQeTF+KwxCE2tYYMFGMaf63XhHo3riq/yFHmvyqZyMN27cyPDwMNZatm7dWnnOypUr6enpobe3l8ceewytNWvWrOGmm27irrvuoq2t7W3JSCnFnDlzmDp1Kl/+8pe54YYbmDJlCs8880xF5Wv58uVMmjSJKVOmEAQB06dP59VXX+Wss84il8tx+OGH8+CDD3LqqacShiGtra187nOfY8OGDTzyyCPs2LGDMAy5+OKL+ehHP8p73/veCiviqaee4n3vex8bNmygu7sbgMmTJ3P99ddzxx138OKLL7Jo0SKWLFkCxAvF2rVrcRyHbdu2MXPmTIaGht5mX3+wCb3yZy8vVMaYirJZ9X1jjVBXX4eDxSGRdIUC4TsQWkQokUmLURYjFLjEtjShRAqoywlMvYupU1xYhHVFSYdyENLyhCryhBGABhekjcUq/j2C1yz8gLJIt6gkESss1gpqheBKCZFraTeSYRFxhYzYqiOurg34PA00yjxP9IRsbs0zPzmeZaqGdEHwmoLmhOHhIM/e/R6zayIeMD1sLyqOTDTiJgZZHzps19CuJD9NSCKhcALNdPbRkhlk63CWEyfUcaMzjlsKAzwqsywVdXxWF7mivo4h3/K/MgXOwDC/0+H54bfobhJMkg5eURL6EuVadMEQj51ZpANaqthmPSEQnsRKD+srqPMQGQ91eBZn2OCEEEmJjcAqA16ACH1wLTZUCGSM6yoTNznfjXc8RiuAjcUPlVJSV1dXue/CCy9k3bp1dHR0IITgiSee4IknngA44Djf+973WLt2LY899tiYk2XWxk4NV155JVEU0d7eTiaT4YorrmDLli1cffXVfOELX6CpqYkVK1awadMm5s+fzwMPPEA6nWbt2rU0NTXx8MMPs3fvXmbPns0DDzxQSYqO47B+/Xq2b99Oe3s7Tz/9NFEUVURqWltb2bx5MyeffDI33XQTt9xyCz/4wQ+47bbb+MxnPsOVV17J0NAQN9xwA3/1V3/FggULeP755+nu7mbSpEl4nldpklUzDspQQvVEWXXCrJ5Mq9Yprr6/fI7+K402OESSLkIgHAfpWlARygdZsMgisRWOEfG4qoHh0NDT7qDqHV4uCob9CKF9rFeMbX4cgzA2rp59gwwdjBVslIbzjGRIydgbzEQ8HUmeDQX7jORqIfg7F+5B8FsTcbq2zFQuKwzMyQ7wbOcQF9TCeVPqeFg08HKqhhsKRa724OsJl1OcGj4YTubR5l5edIYwQQPWUWwVSSLhoxKabUbzKSs4Lszhei6+sCwtGNbU5PiEPYyOIOARNUwDPkeYEkcZj0Sjx8dlRI2xzPENg8MlFvduhV0B3qIU/RPBH5R4gxLbqDBOhI1k7M7uEQv2YBGBF2OzKYvUFmkVpq4eK2oxdQWiKIfJgFERBBJhQfoR1siKyaZwBNYZWQjfjXc8qhPD6NHfar2ETCZDT08PSilefvllhoeHK8mkmloGf8A0jTFs3LiRc889t/J4gKeffppnnnmG/fv3c/XVV3PJJZfwla98hTfeeIPTTjuNmTNn8sQTTzBnzhyeffZZLrjgAs477zwefvhhXnrpJa677jquueYavvrVr3LaaafxwQ9+kEcffZQXX3yxUrlv2bKlMpywbds2br75ZhYtWoTruvi+z9KlS3n11Vf5xCc+QUdHB4888ggNDQ1MmzaNo48+mkQiwTXXXENNTQ1z585lcHCQxYsXAzFXub+/vyLXWI3NjlXplqPaV65a16J6t1H9/Gq8t3xeDxZ/MukKISYB3wPGAxZ40Fr7NSFEE/C/iXfjO4BLrLUDIn7VrwFnEyOxV1lr1/+x17AmPrB0FCIUCBkiUhLpgi2ZWMA80kRuRLORfNtz6QgV9Qa+Hjh0JIr0uEE8/msEjpV8WEseKRkMEUIYFkjBdSgm4pERluut5SYZMWgVuJrfSHhQKjCSohHci+FUqZnsSJ4qJfhWeoCz0nWsclrZIBRhEHEkhhqruCUMKAWCh3WEVg6nuHV8lhTgYBLwSR1ytLBckxL078/yoO7mt8ryoNvCooJhbqmRWz3Y5A5RMkUOs2mOsI3sq5XciyEympn5Eod19/LE3l0MtSumzkuBdLFaIZrBDox8dkdhkgKbtGhGRBeSCmsVOM6I4aRAEDfcrOuDl0TLWkyiH1GwyKJBahdSIh7/w4wMS4CQLuIQWasPlXgnviPwB+igOvmObq4ZY2hqauI73/lOxcvs61//Om+99VZFB6HcTLriiit45JFHKpXeggULuP7665k4cSKZTIbrrruOG2+8saK58Prrr7N8+XIACoUC9913H6eeeipTpkzhxz/+MQ899BBnn302q1atYv369YRhyJFHHkkqlWLJkiWUSiUefvhhtNaccsopLF26tLLdv+mmm/4Pe28eZdlVnXn+9h3eFC/mnKRMpdCMBKjKFggWBTYYCyzTWNBt44LCTMYUZdy2GxfVxlC9KLfbxsss2l1ttzHYBuESDSUDZRBaXW27mMTgNkgCJKUAASlyHiLixfDGO+z+49x947yniMwUSBEJ+fZasd6Ld6dzzt3nO/t8e599uO6663jDG97AwsIC7373u7nvvvt473vfy9Oe9jSe8pSn8OY3v5kDBw4wGAy4+OKLufzyy0t6I01TrrnmGvbt28dHPvIRlpeXecITnrDhAhIbsEZ57tGl0n77wnpInj/o+ef6339QR1oK/Jaq3i0ik8BXROTvgFcD/6Cq7xCR3wZ+G/ifgZuBq4q/pwN/VnyeSZ0QBmiQu3jdXob0BQY55C6fLj1FgHBJeWA65ta0wpJGHKkqeaRFGJPb9mcg8J9yJddiahTk3JvH/BbCJyK37DdXpZUFbgcGYEGET4UpEDIXwo0I+0OgovzUXJ39vX1MxVVWw4BGnvPyLOMXQuGDYcp+zbk3FO6ottEk4EnZFHURvpAmvKQfcUUl4UCaE9PmLznMu+Jpjla6HGy1+GgwoD3T4aaVHbygVkV7k0goHIqUV5JRW+mz1u9yU+sElx88Tr0aAFXH32YhsiroBGSVHIkF0QBJIpe8HaCmyMBlEJMkBhzHSxWXiD0LQUOgQpQ2oNqF5jL5oOBuo5QgCdDUZVdTCaB+DlpzYckW9JFHbnuzmdc8iiIeeOAB3ve+99FqtThy5MhQtIM5h/76r/96yDF377338qY3vYk77riDpzzlKeR5XgIuwMLCAp/61KcAt9vCjTfeyKWXXgrAT/3UT7F///7S8dVoNHj5y1/OS1/6Uj74wQ+yf/9+7r77bj7xiU+gqjzpSU+iXq/zhS98gZe85CVceeWVHDhwgCiK+Iu/+IsypOzgwYN89KMfpd1uc9NNN/GCF7ygrOuhQ4d4xSteQa1WY21tjec///lcfvnl1Ov1DdtrIxpho7jnzdodGFqgMppVbSPw3kjOCrqqegw4VnxfFZEDwF7gFuA5xWm3Ap/GKdQtwAfUPflLIjIjIhcV99lQJFNYy4CEvKtoL0dWQNIckYxAlND5cDi8lvNHUyGDKUHXQjTMkNhtDqmeo6yfhM4pJwESKaoZbYWT5Hw3FdrieE8CpYoQhDld3AKAnxWhGmS8R4Sbo4DZ6ZDGRIX3Z8J1ZNwTOcw6HGV8JMg5iCJBDnmF2TDgZwLhjYOEWwKlU+vw2fAE/Xaf21YbPDVtctnOCjs7NV4bHOU6rXHNap1/T843qfOrUyGBKO8c9Lk/6XJt9xQPtk4weWSFaGeVxq46EkOWCkEtJ1eBdogESphEaISjWBByMke5BLnLVxwOkE7sFldo7N5+LYMkhCwmaMRo0iSniTZaSKcHnQQNXfyi9gOopJCOt2D3ZSv6iPesIbDwLV6zvA4dOsQ73/lO+v3+0Lm+8wcoj8M6aLTbbU6ePMl3v/td2u12ea7tQ9btdgF44QtfSLVa5c///M+5+eabmZubo9Fo8P73v5/rrruOe++9l1qtxqFDh7j99tt5+OGHS0Cbm5vj5ptv5ld/9Vd58YtfTLfb5TOf+QyDwYDbbruNpz71qVx++eXs3LmT17zmNVx77bU88YlP5K1vfSvf/OY3eeMb30gQBPzhH/4h999/P9deey0PPvggk5OThGHIxMRE2VY+CJqFupFlasdHAdnEzvEph0cbtWDyqOaJIvIE4MeAfwR2e0pyHDe1Aqdsh7zLDhe/DSmUiLweeD3A7FQFVjMHmCnO4pW82D0C8hCkCqoB38qVbFAhyEJ0okuuqfPE5ZHb8ysRyAOoJriZngunkihFM/jl1OVeSOMc6UdoAJdJTi/IOZg5pb0zzHlzCH+m8M5MmQpC5qOQT2vOc0i5JIjYh3JflHMwzNxW6KpATisPectAuD9bI62scFdngu4gYrra4nXVGrulwYGVOhNxxmSzyv+YzvC8qYB/lSm/IyF3Z8rvJB2OL63wjOgE/3H1NB/5XkJyeYPKTIMwhDx3GcNUXA1JcTHMkhFo4KINEiEIFc1TSB2vS1Dsi7ZWI5/oI7WB20a+mkEakUmG1kMYNJBBjTDsw3SLXNfQNHehYmHqspGNZUN53PrI7OzQc/xOb0Bg8tBDD5U7L/hOo+KeZyo7qsprX/vaMi+v/XbZZZfR6/U4ePAg4LjeN7/5zfzpn/4pf/RHf8TU1BTz8/N8+tOf5jnPeQ779+9n3759fP3rXy8B1569tLTEW97yFh544AHSNOWzn/1suevv6173Onbv3s0DDzxAs9mk2WzyG7/xGzzvec/j5S9/OW95y1u4++67eetb38rJkyd5xjOewZ/8yZ/wN3/zNwwGg3In4FGqwD6tvay+Z2oPf2DzKYaNQHw0ouFMcs69R0SawEeA31TVFb+wqqoi8qjiiFT1PcB7AC7Z09BcM7enWE2RWoiKQCwo4nbSzQQaylMiuKOf0qu2QTMuXxYGE8LhIIYQl5IwjYpdJAouMlc0cdzkCjjwySmyjcGDuaMZJIuRMKUX5uRZRKUO9w9SZBDxK1HO1QF8UnM+VVFUcxfGpsVLSHIkHaBRh6+SII0WDyUJx5sz/ItOja8sT/L2ao97Jk7TiHazJwt4UboLjeBuVXZXQwZZxv+90uXA6eO88XtHmMn6fH6ySv2qJtGeiDwS8p4bhSQQtOK2l3fLcgW3q3IRT9sNoJ5DL3fbFkUKKmShQNyFQQSLNWikSDUAcZSLZBWIBalG5IOpYpujFaiuIpUOmqbIGTbdu5Dlce0jl1yiPkXg77brc7oAT37yk/nEJz5Br9cD4LLLLiNNUw4dOmTlfAT36APGyspKeZ7Jgw8+WP4m4vI35HlOtVrlgQceQER4/etfz9VXX82dd97Jpz71qQ2Bz55tK8Meeughjh8/zjOf+Uy+8pWv8Pa3v527776ber3Onj17uOWWW1BV7r77bvbs2cNgMOCDH/wgDzzwAL/2a7/GzMwMd911V7mtvO8oG3UejpbFL4//+2bAafyzbxkbZTFavzPJOYGuiMQ4ZbpNVT9a/HzCpkQichFwsvj9CHCJd/m+4rfNJQygUQNyyHEcYpyhEwqJkqfqgvVrOeG88rT+Kl/IQ9JM+LEedCVid5RDWuHLUeYC+bWgFcQBrwyE68k4WIFWHjrAzAVEIMwdCEeJozxz+KxmXCwx90hIXhlwJAx4FdAn5wOViJwAzXGrvNIU6awicQem1ghONGAQclVa4cow5vBghUH1FPd0Z2nmk1QmQ76r8NRJ4ZO9AZMd5ZpmzovTLjo4ykL7CIdVWXzCFLondhtF1gQpihxElhlM0biwQHNBCsqWQIrQrgBpKxK7eGedGAChoyAGglR7aB6X264HeQB5jmhOXk/J6y4PQ9CehaQBwRoSriL17rmozQUlj3sfGX7WI6bAPr8YRRE33ngjn//850nTlBtuuIFut8uuXW4X5y9/+ctD9/IB4/rrr+fgwYNDXK5/rkmWZXz2s59l79693HPPPeR5zpEjR3jVq17FYDDg1ltv3XAnCX+aDnDVVVdx5ZVXcvjwYQaDAXfffTeTk5NUKhUOHjzI0572NO644w6mpqa45ppruOWWWwBYXFzk8OHDLC4uPmIAsdy49gw/MflmnO1Gg89G4u995gP8ZlsfbSTnEr0gwF8CB1T1Xd6hjwOvAt5RfP6t9/uviciHcM6B5bNxVRJHRLun0W6G5gmSKtQzl9pxLSfsJeS9AJWAyVrKzac7fL5dJZyN+S+zQtjNeGo/Y4mcPAkRFQgFgmL6HYKGKYcSoZuGiASAS9wiABKAhC6KIoO+wm9oCknmQFly7sgzPqm5uzZzrj80IWCVMF4GXSZfnUIrNWSqgiQVKpPLHF5eZCnOuKK9k29PVckrVWoptKrwnqzP2yTlfwoS7j/Vpzk4zTMfPMHnoojONTW0GiNB4BLPiBBEETLhFpKguK3gkxxJBCopEoJG4gjnPHB8dlgsLKsBVedMIBSklpOnBZ8egKQx7gfQPEeSmLCmBVUTQNSAYAJp70bqK2dTmwtKtqSPFA6yzZw/YRiW0QtTU1PcfPPN3HXXXYRhyMc+9jHCMOSGG26g1WptmiJSVTl8+DDdbndT55I9v9/v8+u//utDZfzEJz5R5tb172uZu+CRAFipVDh8+DBLS0tcccUVfPvb3ybPc+r1Oq1Wi/e85z287W1v401vehP3338/zWaTZz7zmXzuc5+j0+k8Akz9LGEmPlBuZNmOgqSfLH4jXteuNbDdzKG5mZyLpfsvgF8Cvi4i9xa//Q5Okf6ziPwy8DDw0uLYnbhQmIdw4TCvOfsjBIKKA1oiRyeECbRDiDI0zqGjMMhZ3StUv9Hj+Xef4t690xy7pE4yIXwxzZA8JcxDptOYq2LhKwCRs2ZlImNZFe1HBOIeKYhLV5gHqAqigkaUDjjAOaHCYoPGQYBWMogV6aUwcRq+HZJPdcmb02izBvmES6ReVe5rx2gSsqPa4Cm7Yg4EylKYkPeLnYr7PW47nbLWX+XDq0e46MgarVqN4Ml1gvkICQPC1A0gEkRoxQEpqTgaIQqgEsIkICHSA6o5ROJCxFTI6oXVnwMdt3WPxkA0AALnRFNx+XKjFPKCNiF3eXTDyOVliBQkQpsxms+dg9pcULIFfWRYzMpS1UdYWaurq1QqFZ7//Odz7733cuzYMZIk4Utf+lIJ0NPT01x11VV85StfKe8pIrRarfKe9ps9bzOH3Ebn+b/B+oaPoyB23333oars2LGD66+/ngMHDrC0tMTCwkJ57m233Ua73eZDH/oQe/bsodVqlfWA9ZwTG7WRffqUwKjYqj7/nLNRBKP3G6UXznT9uUQv3AWbppV63gbnK/DGs9135CpUM3LUTY2zChJFxZLUFKIYKj2IU5KZnEAnuOWBDpd8c4E/f+Y8r7m8wX1V+KckQ5KMfST8UhJwT5yQ9SOkUliLCkjmohwiQbMIiQTJUyQtwqEGESrCPg1Y1IRODkrmQCsECQLCWoBkKdqpofM52WAeqKNR8RKiDA0yd78YTgUJnwgyJA/ZmQIrHS7qdZg43eEnVhe4cbDMPoTWfJPwoirRbOQohTRA+gFSdztHCC5nhNZyV84qjpqJi/pRbKEe5W5PEBU0CR0NkbhzRMXt9ZYEqGQlnSB5jnYqUOshA3UgHOcuZGSQI1EAcexC1SbOiw1HzhvZmj6yDrQmox3exFZevfjFL2b//v28+93v5rWvfS1f+9rX+PKXv4yIsG/fPl7xildwzz33PCKUygfH0SgJ/5sCY8EAACAASURBVPd9+/axuLg4ZHFauSye2ADIgG00csDud+rUKT7+8Y8jIuUOFhdddBHNZpOf+Imf4MYbb2Tv3r20Wq0yi5pfrlGg3Iin3cz63Kyuvmz0DL8eZ7NufTlP3NAu1tQhRYCEAdTFTXWzGNYm3NRXE/T0Ekk84NSOkNOdAde1F3jWwz2yuMo/zYZQg/tz4Q8GQBQQaIymAZqHSK7kSYhqgFQECVM0ECQQJMjQQQSSIhqwlgup5ogodAK3FDkvNnnMgAqoAdEU6MBFD0iewyBHSckCl5M26A6otHN2d3PelSXo0QX2J2scCDP6MyHfiyYZTERMVCLCMECSkLwbkMe5A3LUWaQxLvSr7jgDkQANxS3PTUJ0CjewZOKWO6cBQZS6yIMQt6qsqpBV0dBte0+Cs2LzDOIedCtoJUEChTSCLEXyFAahA/O4oCLGsuVypqmu/11VSZKkzLFw3XXX8axnPYssy0o+9/777+cd73jHEB85yg+PAsko/7u2tlZGOPjih6+NWoCj/KkBfhAEVCoV9uzZw7ve9S5Ulf379/PAAw8wGAx4+OGHSZKk3LnXBge/rH45N7NaN7JA/fr7ZdzIQt7Iit8IoM8k5wXoahCi2U6XmCUsGqylkCnUBK0KpCGiUL14H8ym6NVtnqp9nr7W46GvneL+w6dpPrFBcnGDXgQnVWkmQhqkdLOAPA3KkDTJQgdecYTUhDAQYiK3BXkm5LkwiCFL1IFulSLxDm5xVg+X0SuLIegTpjkZgbOWk8x59xMtNsoMeWEe8ktpl2uOH+Po6Q6Hd0QcumiCdF8NnYhcvoksc8uew5y8EzAIM7JQqfTd4EOEo0IiRagQBC63bR66XAsaKhQJOVCFxC2JDiRCcyUXdUuCowCphM7ZKLg4XlUkULdLRAwE7j5SGFV53EfjEDQn0ISgU91yHRnL5hzk6LFq1b2fPM956lOfytOf/nQeeugh7rvvPprNZrnN+cmTJ2k2m6RpSrfbfYQV7f/ZNjb2LNtbbKOdgQ1MfYCzvAWjYGbywhe+kFe+8pVcc801HDt2jEOHDnHo0CHSNB1yVvmAa8+3rXf85486t87mHPNnERsNNva5Ga1iA4A91+eRR+W8AF0EgroigxxFyGNxAJFEUFVEI6iJC5WiAnUQppBAYE6Ynujx4rUlenqaubtXeN9EwMnLY25cTVgNUu4KtbAK3UqsvBvwsoEw3e3zvuWAuRrclEd0A6EbOGsbCTid524prWrB/cKpPOPhfojUQ2cpJ5AnSoBLpRhmAfEgIGrnzLfb7F1r8dOn1kgmlC/urLE6P4deWoeJAK0GxXLcEFCyiQT6zpkVRiFBKG6Hh3oA1Rg0ROOc3HnAXFtUC8dgFEA1g36EBC6NIzEuXK6eu+Tj1dQhaV+QNIJaCpVi199AkX4OtRTJijC9OEO6DXd/VagMUJQ8f1SRT2N5jMScNn6imzNZXn7Hn56e5iUveQm9Xq9cJnzy5EluvPFG1tbW+NznPjcEKnme87KXvYzp6Wne9773MTc3V6ZWtAUSqsrCwsIjkqufOnWKgwcPDlmMthWOD+BRFDE/P8/evXu56aabSJKEL37xi+XODvYMf2scn6bwIxRGLf/RnZM3sj7PxkOP0imjXLcfvWBgO/r8jeS8AF0BF9CfhY6TrBYNliuqFKkYgUDJsyLbVay4ObOgMw2iHRUmeztJf2KVly4tcixp8/B3Q5opvChOmYlzarMZd1ZzjpLxxVQgEFRCFoOID9dDcs2RvuN34wR+QULm88DFaeUBEitfmww4PI8Dr7wHpwO0k6GB8HOdkNdIm4n+Gov9Dv3lgCQNWLligsPTk7BLkFrg8iEQIknkohNCB+hkEQTFKqIsK0IvxNEFohBmKDh+NhRHjRQpKskCt1NvqGhW/B8I1PqF5RuBRpCAhm6DSZUA8sCFnwW4QSyJnGMtLMIjKh1n5atAUoFaXmRqG8tWy0YW1+hCAGDDDq/q8i1MTk6SJAm/+Iu/yNGjR3n44YeZmJjgRS96ETMzM9Trde68806OHDnCF7/4xfLaxcVFPvzhDw+BTBzHvPSlL2V+fn7oWV/96lfLmGD/+arKLbfcwqtf/WqazSaLi4v0+32SJGFlZYXDhw8P1dO+j9b7bNbrqCPrXLnW0Xv499oI3L9fOS9AFwVNQOIMQreFOqgL/cqAJECrRcrCIHEonURQHUASEwpACI0KMjFPbfc0l2XKE64WJMuRfk7QhiDJmV3s0s/6jscMEkQS6kt9dhxqcywZUKkLnV0R0qxwuwQ0B+5x/TxiUUNW1gbEhxII+sx1uuxpDbg8TelMwLNzWJqsc2SmRv/yBllY7LBbF5CYoJYjSQFgREXGLkFzQQYhVBM0DVwdA0V7AgTkYbGYox0jUY7GBeBWcreIJBUHjAIq4s6t5UgaoGsueFckdLG7uUAk5EGGhIr0QwfKojjkVQfYuSIDgSyDLHGWdJQjeQT5mF7YDtloajvKNW4GRL6HX0So1WpcdtllXHbZZUOWmogwMzNTJu42aTQazM/Pc/z4cSqVCp1OB4Dbb7+dZrMJwGAwYHFxkZWVlZKKmJubY/fu3VxxxRV0u12e/exn02q1OHr0KP1+fyhz12idRusz+rt/bHTRwkZhYRv9v9lvo/fcTM5kQW8m5wfoFjGzGqmz7nJ1AIGzZIlzBwSqBCkOGBJ152UZVAsKIOqjCW6XW8kdaEdKHgZkTQdUU1dMI7mL5ZUMtA9oyuC6lJ2rHeKjbSYX2tSODZgJAvZUQ4I4Iw+6rNFjMeuzvBSgAjsbOdHlE4QzMTodkxNyKiqsVwEJXJQAtsdSB5ejYSJG8wgkhtDFHxOZoypF4sQRx3GK5M5zpylIzVEYErqdelWLzSPDDFVnrVKs4JN+VHDBqRugcnHAGzlHWuFxA8sxnOFW7wUZTKVum/W82DECdQHMiRQ0xXhxxHbLZpELZ/Oi+w4j/z6WulBVmZ6e3vA+SZKwY8cOKpUKzWaTer3O7OxsmfhcVVlbW2NhYYHl5WVUlV27dpW5aG3aferUqUdYsH7Zz2UgORNn6+/u4NfbPjfjlTeTzfjzR3ONL+cF6Lolv2Hhcc+QPqhG5NUc41ddSQOXdMUsuWJ6nUthPWaOWxIpPPpR7miBIEIaAZpW3TQ+wNETg0oRfxqjUznZngrplQ062SxKQtypsJhXkUiRbABJh0nWmEgGaKpIlLvUh0GAtKUA/yoS54QDIc8yF3scBiBuyq9hhiQVCEOkKo5qCEGzyNErgSLVBMlDSFNySR3VkLlVc5IHSEXRQIs8EyEqLq5WI3UGax44sNWiXcIcQrdsOBg4MA6CEJcMKCgdZxplLhoic1YzCqIFL5g5AJZg4CzgsWy5jHrTN4sH3SysyZeNwp02u6d/bp7ndLvdMkwsjmMWFxeHyjU1NVUmnRl9jn9PW9BhnPDZKIHRco1GHRgN8GgoAL/eo8/ejC/2oxw2Ov7DYekKaFTkDDCTPlQsWQ2RFnP8ECR1wf31wrkVKELieM8sd0nPQ0HTKjkJxC7DFt0IUSFPcyQu4m7TxMWypqBBgggElQghBhpk9Zy8rghFEhgNnZXYT5BB320Rj4JGZFV1+WorFQemuaC93FEFzQy3WAEYiMvapcXAEIhLDp5WHbVCiJIiNdz1OAqENHdtUqXgfxUJU0Td7r6aBy6sK9Yy9y1REY1QJCWnFxWhYhGBBOggcqvYwty1Y+R4XQ0yNzAlQTHLEERydIBL9zgx2BY1uZDl0fKUG02vRy3KzRxOowm5/eePWqN+jtnR+4yW1d9ayAe6jazSMw0mj2ZKv5HlPHq/0fM3in6w8zcC6bOVYVTOD9BVcRso5jjA6lUdGGUCEqC9EIIcDVLnYY+Bvls9Bgpp6FZoqRAMXOSD1lOk6/hM1QCqLtuWhILEiuQuTaGKOk4UQfOwAMTIAVY/QLoBqhESirMIqz3IE0gjVFK0olCJCNJi+i6Ry3OgCqEiYey2lo9TSASRFI0i9z1MIQicgyoKgBANCudgNgm1njsmfaSSgihK4CzsJEeSyKVaRJC44HWDzEUltCsuU5vFfamzht3ABQQhkgdoqG5AIEc0dEuA0wwlh3rq8jKIFkuHFfK8KONYtkP86TGc3QPvi79FzWZc50bAOuq82gwQN7NOfaffZkDuy2aWp3+d/zl63mZW6Jms53MdxEw2cmCOlmEzOT9AFwgqOdoPIY1dkuwgh17kLNWCsnVgQcH7su4ACgoKIneJcghCNI0d76vqggD6hZMoKZa+xgWIaeAAO3CZtsgit7QokSJ+OCpaKXQr0zp1t1yYEAmLab4ISIYSQhhCVnGJ1TMQyRyAa+SeL6GLOAhxOzCoIGFEnopbkaduyS9B5KIzssR9VvouO7sAQQpRXlAVsa0pcW2WhEiUucEgC1x4WOgWWdCL0LjgzYPMrW4Tx3tDSB6Je1YgSOLq7HjhvFgenLs902S8OGKrZdTy9KmAM1lzG8kocI9ed64W4WbXnckaHAXvM1mo/qfJuaap9J93rs6wzcB8s7Y5F+fcRnJegK6IwiByU+C44B8HYeFIioqQKEHyEJUBUEzrM9wUPXRTfMIMBrED0tABoUtb5ixZAqA+gEHgpslx5rjPrOL41DxECpCRNHZLb6vqEvrmFOco5FWkkqIhSCWHiosCUMStUqsAYeSs4VSh0i92b0iBHM0zB9KZIIMIbRSpJyPnQNQocJtCBhEqMdLoOTAMc0czSIjEGWr3iIo8uVkIgwDCxEVDxIkbeLouixhxYcVLhkYWW1mAdm5tliMRLmFQkY1NA+d0dJnZKoWTcyxbLaOW55lCpkbP94+diQ8evcfo99HynM0xdTbr90zRCX55z1SOs5VhdGDy77UZIJ9r29r3c6FHTM4L0FUVF1sapy4dYa4uzWIuKOoMSRG0lrhptWSFwyh0XKQWjqPURQ2QurwNhLiEN2FxTlasxAqLxC49F7IloTgQzRRyF8/qlt8Kmrp90why90zBgVNShUri7psWlnKobhCQANEYJHRLbzOXlpGwSAcZ99wGL0mARjmSRUjVJaZxz3OJfkRDtxpPGhBkCClkLmm6412zIhohKMLpUpdDN3OLSpTCgVctoj+kCAOLc2S1cDSGCt2q26pd3dJh0hiqKRIEqKhL0o4gWehWwIXj3AvbIaMAtREwbQQ+G0UijFrK9ttGci7ANHqPM039N7rn2bjXzY5vRLWcqRzncvxs7TF67iglc6aFEXCegC6hopGzSiUruITABe9LlDmOt5E44CCHbsWBTC0DDZC4SADTi93Uue6m6RQWm4SC9J0VqwEugbckztLVSgE8UeFEciCtFlaWRCiC5OryM0iODoqUiVnsvFqJQCUGKRxkeZGApgIkbpkvKZBGiORIJA74Y2fZEomzpCV3VqjmSK/mjlcCNwikQNhzdc1DZ4lKAaTWLknogFdSF2erAbmkYEqh6trNQuoKcKbmADbvFs4+BKTisq3FLsewkCG9IuIiPvsUdiyPrZjTa3TqvhHgmmwGdBuBkw8aGznhRssy+uxRoN/IuvSv3awcflnO1Baj15yprGe6lw+S58oDb1SWza7f8JnnwgE93iIiq8A3trsc55HsAE5vdyHOIpeq6s7tLsSFIuM+8gj5oe0j54elC99Q1adudyHOFxGRL4/bYywjMu4jnvww95ExOTeWsYxlLFsoY9Ady1jGMpYtlPMFdN+z3QU4z2TcHmMZlbFODMsPbXucF460sYxlLGO5UOR8sXTHMpaxjOWCkDHojmUsYxnLFsq2g66I/IyIfENEHhKR397u8myFiMglIvIpEXlARO4Xkd8ofp8Tkb8TkW8Vn7PF7yIi/7Foo6+JyI9vbw3GspVyofWRH/X+sa2gKyIh8KfAzcB1wMtE5LrtLNMWSQr8lqpeBzwDeGNR798G/kFVrwL+ofgfXPtcVfy9HvizrS/yWLZDLtA+8iPdP7bb0r0ReEhVv6OqA+BDwC3bXKbHXVT1mKreXXxfBQ4Ae3F1v7U47VbgxcX3W4APqJMvATMictEWF3ss2yMXXB/5Ue8f2w26ewF/B7vDxW8XjIjIE4AfA/4R2K2qx4pDx4HdxfcLvp0uYLmg3/2PYv/YbtC9oEVEmsBHgN9U1RX/mLpYvnE831guWPlR7R/bDbpHgEu8//cVv/3Ii4jEOIW6TVU/Wvx8wqZFxefJ4vcLtp3GcmG++x/l/rHdoPtPwFUicpmIVIB/CXx8m8v0uIu43G9/CRxQ1Xd5hz4OvKr4/irgb73fX1l4aZ8BLHvTrLH8aMsF10d+1PvHtq9IE5GfBf4Yl3L8r1T1f9vWAm2BiMizgM8BX8dl0gX4HRxv9Z+B/cDDwEtVdbFQwj8BfgboAK9R1S9vecHHsi1yofWRH/X+se2gO5axjGUsF5JsN70wlrGMZSwXlIxBdyxjGctYtlDGoDuWsYxlLFsoY9Ady1jGMpYtlDHojmUsYxnLFsoYdMcylrGMZQtlDLpjGctYxrKFMgbdsYxlLGPZQhmD7ljGMpaxbKGMQXcsYxnLWLZQxqA7lrGMZSxbKGPQHctYxjKWLZQx6J6jiMizReQb2/TsT4vI67bj2WcSEVERuXK7yzGWx1a2672KyKtF5K6tfu7ZRETeLyK/91jdb9tAV0SeJSJfEJFlEVkUkc+LyNPO8dqDIvLTj3P5hhRPVT+nqtc8Ts+qiMjbi11O20X9/qrYqmQsY3lUIiL/j4j87ga/3yIix0Uk2o5yFWV4gYh8VkRWReSUiHxGRH5uu8qzHbItoCsiU8AdwP8JzOH2M/oPQH+Lnr9tSreJ/A3wc8DLgWngnwFfAZ63nYUayw+t3Aq8osgz68sv4XZiSLehTIjIzwO3Ax/A7e6wG/hfgBdtR3m2TVR1y/+ApwKtMxy/AvhvwAJwGrgNmCmO/TUusXEXWAP+HfAc4PDIPQ4CP118fzsO2P4TsAK8DrfL6heBFnAMlwS5Upz/Wdz+S+3iGb84+gzgWuDTxfX3Az/nHXs/btvsTwKruOTLV2xS158u6nLJGdrj08D/Cny+uN//C+zwjt+O26hvuSj7k861LEU93wB8q6jLn1LkWS6Ovxa3G+sS8F+BS0euvXI7dGj8d8b+VS904Se832aBHm5A31T3R99roXuv8469GrjL+/+JwN8Bi8A3cInFNyqTAN8D3nyGcr8auAt4Z6Fv3wVu9o6/ptDFVeA7wL/2jj0HtyHlb+G28TmGS2Z+rv1g03oU1/7eY/Z+tkkppnCAeituz/rZkeNXAjcBVWBnASR/7B0/SAGofoOP3KM8Bwe6CW7L5qBQyhuAZwAR8ITiZf7mRoo3+gwgBh7CZbOvAD9VvMhrvJe0UCh3hBs0PrRJW7wD+MxZ2uvTwLeBq4uyfxp4h3f8tcBk0V5/DNw7ojCblqWo5x3ADC4j/yngZ4pjtxT1vLa49m3AFzZro/Hf+fMHvBf4C+//f2168Wh0nzOALjCB24X3NcW9fgxnJF23QXmeWNz3sjOU+dVFP/0V3C4Z/wY4yvpmCy/EGWQC/CRul4gfL449B0iB3y36588Wx2fP1g/OVg8eY9DdFnpB3c6ez8K9hPcCp0Tk4yKyuzj+kKr+nar2VfUU8C5cI/8g8kVV/S+qmqtqV1W/oqpfUtVUVQ8Cf/4onvEMoIkDvoGq/jcccL3MO+djqvr/qZvK3Qb8803uNY8blc8m71PVb6pqF7dlSXk/Vf0rVV1V1T5ugPlnIjL9KMryDlVtqer3gE95x98A/IGqHiiu/X3gn4vIpedQ3rFsr9wK/LyI1Ir/X1n8xg+o+778d8BBVX1fca97cJtJ/sIG584Xn2fT9YdV9b2qmhXlvYhiq3VV/aSqfludfAY343u2d20C/K6qJqp6J26W6vthNusHj6YeP7BsmyOt6MivVtV9wJOBi3FWGiKyW0Q+JCJHRGQFRwvs+AEfecj/R0SuFpE7CsfCCg5QzvUZFwOHVDX3fnsYx02bHPe+d3AgvZEs4BTrbLLh/UQkFJF3iMi3i3ocLM7ZcbZrz+H4pcD/ISItEWnhpl7CcD3Hch6Kqt6Fs9ZeLCJX4Cy8D8IPrPu+XAo83fSj0JF/BezZ4NyF4vNsul7qoqp2iq+m6zeLyJcKx3sLZ8365V7QYb56VNfPpOfnWo8fWM6LkDFVfRBnwj+5+On3cVbwU1R1CngFrrOXl4zcog007B8RCXG0xNBjRv7/M+BB4KriGb8z8owzyVHgEhHx228/39+2z38P3Cgi+76Pa8E5327BccPTuOkinHtdziSHcLzZjPdXV9UvPAb3HsvjLx/AWbivAP6rqp4ofn80uj/UtxgGokM4aszXj6aq/psN7vON4vz/4fupiIhUcdbnO4HdqjoD3HmGcj8aeTT1+IFlu6IXnigiv2VAIyKX4KbmXypOmcRNDZZFZC/w5pFbnAAu9/7/JlATkReKSIzjHqtnKcYkzqm2JiJPxPFHZ3qGL/+IGyn/nYjEIvIcnAf2Q2d55iNEVf8eR+B/TERuEJFIRCZF5A0i8tpzuMUkLupjAdc5fv/RluEM8m7gLSLyJAARmRaRx2XKNZbHRT6AG4x/hYJaKORsuu/LvcB/LyKNIoTyl71jdwBXi8gvFf0gFpGnici1ozdRR46+Cfj3IvIaEZkSkaAIHX3POdSlguvTp4BURG4Gnn8O152LnHM9HgvZLkt3FXg68I8i0saB7X04zyO48LEfx3lgPwl8dOT6PwDeVkwF/q2qLgO/CvwFztps4zyZZ5J/i7MSV3G88odHjr8duLV4xkv9A6o6wIHszbgp3P8FvLKw2L8f+XncqP1hXJ3vw0V4/P05XPsBHLVxBHiA9YHrBxZV/Rjwh8CHimnofbg6j+WHQAq+9gs4R9HHvUNn031f/ndggDNCbsVxoXb/VRzw/Uvc7O84Tl82NHhU9W9wkUCvLc4/Afwe8LfnUJdV4Ndx/oylovwfP+NF5yiPth4/qIy3YB/LWMYyli2U84LTHctYxjKWC0UeF9AVkZ8RkW+IyEMi8tuPxzPGMpYfZhn3kQtXHnN6oYgc+CZuccNh4J+Al6nqA4/pg8Yylh9SGfeRC1seD0v3RuAhVf1O4XD6EC6kaSxjGYuTcR+5gOXxSPyyl+GFCIdxkQpDIiKvB14PUKvVbti3bz1MNc9zRIQgCFBVLG+HiKwvpQs2Hi/8HB92n9HfR617ESnPtWP2DPs/CIKh42maIiJEUUSWZRuWJc/d2okwDId+szqN/j5aB7tvFEXkeU6e50PXiAhZlhEEQVn+0XqmaVpea8/27xGGIWEYDtXXb1v73+5r9f/mN795WlVHY6HHcm7yqPtIGIY3TE9P2+9D78PX8VF9Hz1vNAeO9Sf/HP//jc5R1SF9M/0IgqDUnSRJyuOmd3a9/79X16GyZVl2zn3XPq1sIkKlUin7h/WtOI6B9T5ov1sf8X/zyzRazzAMh9rV789+fRcWFjbsI9uWbUtV3wO8B+Dqq6/Wd73rXYRhWL40q4SqUqlUyt97vV55D2tEVSWKovK7fdqf/wKsYX3gAfciTGkGgwFhGNLr9YaA3+4TBAG1Wo0TJ05Qq9VKBTRFsRc3GAwIgoBGo1GWvVp1UShJkqCqxHFMGIa02+2yjkEQDIHpzMwMS0tLNBoNJiYm6Ha7BEFAv99nYmKifI6db3UbDAYcOXKEwWBAkiScOHGCarVKs9kkyzKiKKLZbDI1NUW9XidNU6rVKr1ej2azyWAwKJU5DEOmpqZI05R+v89P/uRPPvwYq8RYRsTvI7Ozs3rTTTeV7yIIgvI9GxhEUVR2/DAMieO41F0feHwDwkDJB1HrI6bP9n+v1yNJEnq9HlmWkaZpWYYwDKnX61SrVRqNBmmasrS0RL1eJ0mS8vw0TUmShDRdXzhmfcrK3u12SZKEarVKFEXl8/M8ZzAYEEURQRCUxogPlkmSsHPnTnbu3Mnq6irtdpssy9i5cye1Wq18frvdptfrkec5KysrdLtd1tbWynJFUVS2ZxzH1Ot1arUazWaTMAzLfmflmpycZGJigk6nQ7fbJcsybrvttg37yOMBukeAS7z/93GOK7XSNKXRaBDHcWlJmqVVq9XodDqlwiVJAlACjb1YG4HiOC7vkyQJtVqNKIpIkqS0TuM4plKplBZhFEX0er1SUQ0gDQANxO3FTExMsLa2VoJYmqbluaYUVtYsy6hWqwwGA6rVKpVKpVT4fr+PiJTWQa1WK+s5GAw4deoUWZbRbDZZXV2l0WjQarVIkoQwDImiqLyfffb7/RJYsyxjZWWFJEloNpvlM7IsK6/361qv1wmCgGq1WpbLrrP2G8sPJN9XHzHDIE3TUu99I8X0we8LvpVq1xrImf6ZrvkzNn+WCA5UK5VK+d301p6lqrTb7bJf1mo1RKTUV3BGgInd2/qK1cNA0nTPymj9a3Qma5/+c2dnZ+n1erTbbTqdDjMzM9RqtbIM/X6/7MP+vX2rtVqtlu0SRVGJFbVarezTdm6tVisHGruPP6iMyuPB6f4TcJWIXCYiFVzA8TkFMcdxXFYmz/OyAkmS0Ol0ypHHANM/x39x1Wq1PBYEQTnaAuX1MPyyfIA3C9oa20Ct0WiU1m673S5HdmtgsyJsBDYL3QDTyucrvj+d8cHPrHwrl4GeqpYWuIiwtrZWlilJEgaDAb1ej263S7fbLS1Ts1IqlUo5UjcaDarV6lC7+dM3U1Rr68FgMDSdHcv3Ld9XH7HO7IOpgZJZqfaeVZXBYDBkySZJUgJlp9Mp33WWZSRJUupjlmXln029DVitn4VhWFq1tVqt7DNpmtJut1lZWQGg2+3S6/XKvuuDnE+LmYHhT9OtfvbnU3tWZvu0fjw1NUWe57RaLXq9HhMTE0xPT5d17vf79Pt9BoNB+ecDuxlNfr+wGWm9Xi+B2O8no/3mbPKYmyyqwFj8PQAAIABJREFUmorIr+Fyr4bAX6nq/We7rlqt0u/3qVQqJVhEUVSOdr5yGaiJCGmaluBmYGCWo8/T2ovywcloiSiK6HQ65XTJXrxZwd1ut/zNQDsIAg4fPlyOcjbFL9pgSJFspDcqwaZPVu8sy+h0OuWLB0dF2PPSNGVycrK0wo8fP86+ffuo1WpDIOwPUnZP62R2vziOmZqaKsti7WpljaKo7BBmLRvo2rTQ6jOW70++nz7i8/c2ozFQGgUqe1f23kwXTex639o0XfNpMt9a9kHX52Stj9p9/eNBENBsNul0OiUAGmj7lIfpuJXD7we+X8LHglHfg82GJycnWVtbo91uIyJMTk6WVrlZuAa2/X5/CNjNePLpmjRNSyvX6I5RK9dml1Zm3wDcSB6XeaK6tGp3Porzh6ZOAI1Go+SvrIF9EDLrtVKpPGKKYPc0oDEFExHiOC7vbaAbhmE5GvqKCE4hbAQ2a8C4skqlUr44A+dGo1EqvHGjVqZer1dOQXyr18pgv/tTnziO2bVrV1mGOI6Znp5maWmJ+fn5kmuDdaVP07QE4na7zWAwoN1ulxaPjdRGf5h13u/3y7qZkvvTvFqtRrfbpd/fkg0+fqTl0fYRAwGgHDyN6rH36TtKDXCNE/Xft+8Isndp79u3Hv0ZoQGkD6qmS76l6NNwpjfmUzA9M72y8hntYGWwvjDKNRvY+jNAo9CCIGB6eposy+h2u4RhyI4dO8o6GsiawWV1s/7og3ylUimB1NrLfjO6zqd1+v1++f9Gg9yonBfknL2oUX7R9yr6fEm/36darRLHcenIsorbtUYNGGiC43MMkIx+sOm2D3ZGJ9i5o9O5drtNHMelsi0vLzM9PU2v16PT6QxxX61Wq+ROgaEpoZXR6uhblsZBNxoN6vU6p0+fLol8U5rV1dWSgzWltPa0ulcqldKB57ebcd3NZrNUWp8esfvYQGTlsg4xlq0V6x++H8Demx03wPKB1YwR3wdin76BYgO/3wdtQB7lO4ESlO0+/mzU+q1vOQZBwOnTp0t9s7Ja37Q+7jvFDMh9K3c0ksbubcbB2toaqsqOHTvKPmyGiW/0+I72JEmGAN76gvVRq4P1YX8gs34B65FA5mDbTM4L0DX+yRregNMUzfjRRqNBp9NhYmKCqampshFtBLTKGgcDlCMsOMeX7yzwrVCzOG0aMerFNFD3lcqnEQ4fPsz8/DxZlnH69Gnq9TozMzP0+/3yZZnzyrc27RlxHJfPMCXq9XqsrKzQbreHLHcj8+M4ptvt0m63gXXl9h1sds8wDGk2m6UTz9rOjpnyWHsZdWOd0adoxrI9YrpnsxET01UbuE0sAsAA2AZU0zdYt6B9kPaBzQwGH6TsHB/0rQy+lWzTc6ML0zRlcXGRiYkJZmZmCMOwpPWs/PbdDB1YHyhGv4dhWBolcRyXFN309HTZD+zZvgVveu23oVEpFqVk9fMtYL99fArF+pFP95xJzgvQhXVAMr7QKAFzBJl1Zwq3urpa8pDmbTfvok1dVldXS+vMGskazbdU7XnmybWGNo7TDyfzOR0Y5pz6/T6Tk5Ps2bOHtbU1ut1uqeTA0GhqU0Pf0vVHTOPloigqHRUnT54sw1OCICi5YXu+Tf+BocHIn0nYdM+oCqu/1dnq6w98fnv47TOWrZMsy1heXi7fqT+T86kHA0zjOH3HsDmFTXyL2PTDfjO99mNb/RBKn/e0/mGgZTruc78+zzkYDFhaWmJycpLJyckhKsMXA0b/Ob4F7Yc/DgYDut0uMzMz1Ot1ut1uSWv4Fq5da9auzxH7oXY2g/apBKuHXz/7zR8w/KiSjeS8AF2zUv1QFwOeIAiGOFh7AXaOAaxNn2w6bIBnLyQMw9LqtPN94DTnm8+3mqKMKpGBvSlBlmVMTk6WITJGP/hxx/7UzB9NjQKwUB/f4VWtVktrJc9z6vU6lUqlpBVM/EgI45nNKTjKmVnn8AHXF9/CMU+5Aa3vwBzL1ou1vTl2zNL0LTDfseXrnw9WpvdGM5mla/3E1wv/u3npfSPGNyR84DL9NFAzpxas03e+kWHAZzrqO9lMv31r2+piU3qLWa/X66ytrZWRGmawjfpRrB38CA3fkvfFt7pNRhcU+ZSIP1PYSM4L0IX1ShhQ+HwirIdj+VMsexnmJTVwMaAyb7//54+4ZxqNDOh8LhbWLUhTcgO43bt3A5QgX6lUyvhgP8TFt5aB0oI3i9XAv1arkSQJU1NTpQNg//79nDp1qgzB8ac11k7WCazs/gBjZZucnCy5WeN5rf2trv5obTHPNjMwznosWyu+vvpWmvUDn+scBTILJzPr1wZ5m3XZd5/b961WGF415vtArG/ZOf7KLKMNgaFBwqcsLDrIzvOjA3xL3XTej4e38psz3LhbA1vrV6OWN6wbFqP1sTr5wO/TcIYhvjPN7uc7/TaT8wZ0TSl8p42Fj9nU2aZVQPmyVLVcdOC/0FEPr51nzio7136D9ThhsyJsRDWwbDQaJWBmWVZapRYY7Te2AbxN933wthdqZbQX7iuXWR+wPg08ccLttmKeVStfrVYrnXi+N3t1dZV6vc7x48fL9jQrOwxDVldXhyIYzLK2DulPHY3+8AeisWyd+E4xn4uH9UHR/BFmwfqgYf3DImtM/EgA0wvfSjPd9K1bXy99J7HN+kYNFOs/nU6HarVaUld5ntPpdMr+buUwqtDuYYOCGTlGj5nzrNfrsXPnzvK7Ty34EU0G2lZvcH3JZq3+LMHHGT/awdprNM7YBgirvxlVG8l5AbrGF5lVZiBqI569VAMYa6B+v186w3wOyixBG918q83ntGxaYmJTaN9jD+sK74/Idp4pgzWygZhZ5PbCGo1G+WJMif2Vd2ZFGrAtLi4yMzNTvlxzmvX7fVqtVtmhkiRhYmKiVFp/qmdtkWXZ0NTQ6ux3JouG8B0INvW0gc93Foxla8X02/fw+74EG6QnJiaGwMOMCjvuO1p9a9Ke4c/ifHD1rVmf5/R9Enau9VvrHwZEPuW20WzK51ftuz/bNUPHoo78MMc8z+l2u6yurpY6bzPd0QUNvtXrW7fWp2yAMkPPr79dO0pX+BjkUzkbyXkBujZC+GA6On2xUdMUyDhOcw4YMKyurpagaEBjcb3+9MUsWXvZvphl4I+Mo9ZCr9crY/+sjGZhd7vdEgSBIYX3Q9BMgYASGKvVahkeVqlUWFlZKR2Ftj7cwNQGIXtuu90miqLSkeBbBb4zz8pqAfY+HeHHO5vS28q0UQfCWLZOfKvV3p/P1dtxX/csIsbO8Sk533nkR674RokPinaeb9X6TjV/Ou5bfv6nT0+Yr8Gm5KNUiFmpfv8zMI+iqDRIBoMBs7OzAOXSX/++pq82EI2C5ka67A8SBtxWZzOu/Db3scqnPDeT8wJ0bZSwEcsSq1jDWESDv7zXRhQfMH0PvI105vQyrtjOMRC3qAmzcmGdZzVA961l+zRAtim5WbO+o8rAy58q+ZatD3iwzg0ZQK+urpb/W6cAyvA5u4edb9OyVqtV3styWfi0iNXb2sXa3ywgn1+zWEcr36gHfCxbJ74j2dd100s/jtfPHQDrho0/q7I+YaBk/cmAyXck2zu35/pJqAwo7RnWP3yqws61fmb6Zs+xvu7f06+36XqlUmFiYoJqtcra2lrZBmZc2Xcr96iDy7+P8c2+88u32GHd2Wg0h1ELo/ytPzj5YaobyXnRe4w3AR4BfP7oZkH+9iLtmDW2D1qjHk57sfZyfSvWlNgcTfY830Pr87B2L3tB9Xq9XMvux7L6LxrWw3n8OFk/UsP45qmpKdrtNktLS+zevbu0WI27E5FyiW+32y3zMtTr9bKMVl5bgTcxMcHKykq51BrWrRdz2hmgmoPNMilZG47DxbZPDHh8isc+zfo0J6wvBqCmN6Zv/jGgHHB9Ks/OGQUaP8/CaL+z+9lM04wSA3Q735/u++XzKYzRSAWbsUZRVC4ttr5Yq9WGDAlzcFvfNcrRj/bwqTJ/wLB6+Of7WONHBtms3Mrql3szOS9AV0TKrFmzs7Nlpzdvqz+iGHdjYGIjv89l+o3pj+7+dMIa1ZbQ+laENa6Bkym2WQ/m8TfL0UJUGo1GmQDEEs6YR9X4LSs/rIOwgd3Jkyep1+u0Wi2AoaQblp3Mkm40m01WVlZKHs88xfYcK2+n0yGO46H0j6urqzSbTRqNBisrK6ytrZXr4o23NsrG90SPOh7HsrViKQMt5MrXbRhelQYOhA107F3abMgAxX73AdN3mlnopfUtnyYwY8X6kh81YceN1jOjxp/qG5D7kRZmUfrUhh23BUdG7RkFaLzuzMxMuYDKMGRtbW0okc5GRoP/uxl9dk/fx2PGkq0V8C1lGB4ozFm4kZwXoBsEATt37uTEiRNlY1oiGRvRzEK11VmmOP7iAAsY73a7JSja9NjOB4bCqUYdAKM8ls/h2GjpL9f142lXVlZIU5cQZmZmhomJCRYXF0sHgq2QOXLkSAlusO7QqlarZSSCRUScPn2aHTt2MDs7W1oIFqdbrVaZmZkpp3r2/E6nw9LSEgsLC2UdLAIE1mOZa7VauUzZj+awaZlvdZhTYW1treTQxrJ1Uq1WmZqaYnl5ecgr70/jfV+B72swQPRB1QwIMyxs2bnp4ijVZXSA77C1MvjAb34CA3ezcM0qtef6C4NsBaj1Y6MErb/a+TMzM8BwaJb5ScwKnpqaKmPmDcCtnGnqVsd1Op0ynt76gj9gjYaP+dy173/y+WoLwbR3dd5HL5incO/evUxPT3Po0CEOHjxYvoBarcbExAS1Wo3Dhw+T53kJyFEUlaMZrFMLfgiNvfx2u11yuAbI/oobe8mmXL6VaaO6Nb6BdqfTYWVlpVzAYdecOnWKI0eO8NWvfpXl5eUhQt6cgX5omk9rmJjj0JSpXq/TbDbZu3cvO3fuZMeOHaWCmvJaJqRarcYll1zCd7/73RJEDWjNqjXrwUJxDHBtVPdX5BkVYs8by9aKiLBnzx5mZmZYWFjg5MmTQw414/1VtXSowvBKMB9IzLo1HbRVj0bf2e8GJgZMRoP5ceyj0QFm7ZmOWzkN0A1cRaRcpttsNpmZmaHZbNJsNsvVpaOJZvz722zYEocvLy/TarXKJFQG8mZ1BkFQLqCYmZkpKTxLXm6hmmZgGY5YGa3Mvt/DL5fxv/aszeS8AF17eZahq1qtsnfv3pLL7PV6HDx4cKgh/QBpP/+A/WaRBZZP05YLTk9Pl9N0y0VrwG5TNwNcm0r4kQh2jk3pgfLc48ePc/z4cY4ePVqWxyzaOI6ZnJwsHW6wrjw2SpvVYaPuKOWxsrLCyZMnefjhh8tjs7OzXHTRRUxPT7Nnzx5mZ2epVCrU6/XSYm42m+UCC1MkA35giO8zh12WZWXcptXbBqYxr7v1YhZjtVrlkksuYWZmhiNHjrC6ulpOpc3gMIoJ1i1Ve/ej3KPplxkgpjs2tW40GiWgm36YvsO6o9X01XTYDCZ/oYUtWxeR0niYmpoa6nNpmjI7O1uCuR8va5++z8aPqEmShNXV1XIJfqvV4vTp05w8ebJMhNNoNJienmZmZqbsk0ePHn2EU84MGWs/8/dY3fwFQqMho347bCTnBeiapdVqtdi5cycXX3xx6fTxFy4sLi6WTjDferNptb14GwHtfvV6nZMnT5KmKcvLyyXJb6OeUQVmJRoAmqVpoWc2ZbFFESsrK3z729/m2LFj5Uox2/bGUsgBZYiZWdC2SMHqYC/U56Vh3RqxqVkcx6XTzDgyU7I4jvn617/O9ddfz5VXXkkcx8zNzZWB4hMTE2XgeKvVIghccncTf3pkVu6og8bKNc6nu/ViNJEBzuTkJFdddVUJnktLSywtLZVL0E38yAafLjK9MwA2PWm327RarRKIDYyNIrP+Yf/bJzDEf/rREPb83bt3Mzc3x/T09FB8r6UdbTQaTE5ODvURK7/1P/vfzvEdWzYDNYfa3Nwce/bsodPpsLi4yMmTJ1lcXGR1dbWMguh0OkxPT9NoNEq6wWZ2Po1huOLncrFZgT3fX1dwprDK8wJ0zfoyMDTFMWtSVZmfnyeOY44ePVo6o06dOkWSJGWjmbItLi7SarXYtWtXuULHzP2jR48iIszNzZVWgfE7xpvt3LmzdGJZwxrflSQJx48f5zvf+Q4PPvggvV6Pubm5cgrUbrdpt9tllIDFAbfbbU6cOEGapuzatYtms1k6CWE9wBrWQ7PsxfmhZzZdsymhRSxYZ7jnnns4cOAAl19+OdVqlf3795fOP5tq+jSCTQttemX8t3mJ7f0Aj6BkxrJ1YlN+PwLHDIVGo8Hu3btZXl7m1KlTLCwslL4RGF4pZvpmOu3Hzvrn2vV+3KmVwfhfm7r7s0GfCohjlzB/enqa+fn50mASEZaXl+n3+0xNTbFjx46h5cKm7/5KO9+i9aMFDDfMODPQNRC2WWmj0WDXrl30+31OnDhR+laSJGF+fr7cRWVpaWloKbEZJtZ+9h3Ww/VMDPTt+2ZyXoCur1AWsVCr1VheXi5fcBzH5Qi7urpaNvKpU6dKbrVarTI7O8vc3BzAI0ZM48X8hQbm6bREMSdOnKDX65XKcuzYMebn59m5cyfHjx/nwIEDPPjgg2X0RJZlHD58eCgTvwVtr6yslDlwbUNJI/EnJiaA9YQgfsC2v8zWt1Ts3j6/bMpozoq5uTlEhAMHDnD06FGe+MQnsm/fPq655prScQbOmp2cnGR5eZm1tbVSIY1uMX7QyuBTIGcaxcfy+IgfimUzJKOBzKqz2Y3NcI4fP06r1RoK/4J1ysHuYRasH4duzzAQtr9+v0+n0yn11GaHlpmrXq8zPz/P/Pw8MzMz5fY5Pt2hqiWYmVFiPhF7hvUPMzLsz6fdYD1HglmX1h/sWsMJW8LvpzY9efIkJ06c4PTp0+Uscm5ujtXV1RJ8/YVBrVarTN9qXLqfO9uMFrN2N5PzAnT9mDbjTI2TNXLaXrrv5Ln44ou59tprWVhY4MEHH+To0aMAzM/PU6/XWVhYKMHD97aa+EHZ9nINwE6fPs3KygqdTodvfetbtFotlpeXSz7YQtxMoWxBgv+S/FG/Wq2ya9cuduzYUTqyzLNqvJm/C4U/nbI/36ts5bfBxHgnmyFMTk6WA9ChQ4c4ffo0z33uc2k2m7RarTKywvazajabwPr6dFMoox385adj2R7xrVXrC/578QfJZrPJZZddxsrKShnJYrMd60NBEJQ5aGF4B27/fz9sEIZXY9kCnkqlwhOe8ASuvfZadu3aVe7sYvHjS0tLgMtpbQ48ny82ysrCt6zf26as1o/MCPPjg61vWB/w4+StXQwUzTlsu/cayJ46dYpWq8Xk5CS21b2tFbCBwAac+fn50kdklKHRmyY/FPSCTWes4fydDsIwLONNzeKam5uj3++zuLhIrVbjyU9+ckmYdzqdckmjWdC+kprYC7SXMzs7Wzb08vIyaZry9a9/vXTwmSKZA6Pf75eWrCkGUI7+foiJlcffTy3L3JLbdrtdKl+9Xh8CX+OLYH1aA+t7UxnH5HufbVSfnZ0to0IWFxe5/fbbecELXlDmHLUlvkmScPr06dKhaLG/foidtVOSJCVAj2VrxRzJ9umDij89963KqakpZmdnmZ+f5+TJkywvLwMMWYP+cnsY1jM71x9w/T5TrVbZsWMHN9xwA3v37i0pM3+Ju+m9PcOoKwtR9MO/8twt5becIv5xK8Pi4mJJ6cHw8lxrG5/isIHJZprmBLTza7Ual156KcePH+fYsWNlZJANFEa3GS4MBgN27drF1NRUaZ2bpW0D1XkfMmZijeiT58aj2pY0FmtnI7WNnFmWMTc3x86dO+n1ehw9enQoCNtGOz9JjXnozQtqjXbo0CG+973vldcYv/rwww+zsLDA/Pw8V199dTmFW1lZYWpqquS3bCQ2XsfnT20Bg+/EMyvXnzLZtb71YspkK8z8KYzx08ZHmcUdRRG7d+/muuuuo91uc9ddd/Hc5z63DFqfnJxkamqKVqtFq9ViYWGB3bt3l4sw/FVQRjuMoxe2T8x69EHIdMO3zAwETM/n5+eZnZ1leXmZpaUlVlZWSt+AgZBPJ5jYbNC34syImZiY4Prrr+e6665jdnaWJElot///9t4ttvH8uvP8/kndSYoURVGUVKoqqUrd1d2Vdrfbbhu2EztxgsROAO+TsfOw4wQD+CUL7ADzMMa87NMCeRpsFrsIYGAGkwDOegJ4ACfAPMSwM9jEfXG32+1qd1dVd11UKt0pUryJupH87wP1OTxkV1X3TNwq2c0DFKSiePnz9z+/c/me7zm/PdMTTs/GUXNyC3UBT3NrNpuWWcIwgM7IdcFB99iwN7L8TmMS0KGPOjHCfrYDmR2PkyGzl33gxOTDlZUVzczMWOHPF/IIhh4mZ8Lokt577IlIz0dkGFsW3wP4o6OjdrgkmDCFKyJKWBJEqEEQWKPB+Pi4KpWKfvGLX2h3d1ejo6OG2RaLRZt0n0qltLKyYuPkLly4YAavV6iyEil7JgZpnyRNT08rHo8rGm2PWyTFi0ajGh0dtUIAqaEke7/eQgiQB5gthPJ8Pq+ZmRm98847VmiBh4nSp9NpDQwMaH19XfV6XYlEwtqQPT3Of15fTkc8fi91Un8cIoYJnNVHYBjOaDRqmO/u7q7y+bx1nPU2xPhUnc/iOiKRiM6dO6fnn3/eisJ7e3tWG4lEInaMDjRNgg6MEkEFxrHVaikej2tiYsIgFB6jgF6tVrW/v6/Z2dkulkCr1TJqKVEvNoG/eSgQ+iTG9vj42Lj01JLY/2SosVhMe3t7isfjqtVqqlarWl5e1uLiYhfFrrcR5UFyJowudIxGo6Hx8XHDbuDbUSjzWA2C0vkoEbYCMzbL5bLW19ftYDw8I2lyvV5XNBpVsVi0dIN2Q5oLstmsDSRfWFgw2phXSoyqhy0oXqGQeEW6zXZ2drS1taVEIqG5uTmr8tLqS4oPIyIWi5lie0I6eB/RNgWWvb09jY2NqVQqWRUZY+sHv3PE+6VLl5RIJLSxsaFEIqFCoWBKRVoIjteX0xWfOUndMICnTvXuh15eLvxUorZyuaxKpWIGCsFAYrilNnR25coVLS4uKpPJqNVqaXd3t2vf8Dr49L6BAkOHkWw0Glbc9nAcNuFTn/qUpqen9frrr+vo6Ejb29vWAr+zs2M8+EQi0RXtYlgxynzWgw6NZB19d5rUocB5CM/T46rVqu7cuaO5ubkuZ4HxfZicGaNLEQplYUA5KTAdIhgkUh4GwXjjB70KDm8kEtHs7KwmJiZUKBSMJ1ir1WxxXn31VTPYBwcHWltbUxAEmpqa0tramq5du6ZcLqfz588bybo3MiAlp9BHMYqbt7y8rMHBQS0sLJinplhQKBQ0NDSkCxcuWKEkDDuDOjxRG0Wi0OXpKXThSZ1DAlEkNgNRP+tHJnBwcKBisShJXdHB0dGRzp07p729PSO29+V0xfO6uXfoDym1L3RJnUFOHoogTffNDNPT0xoeHrZ73/s57MlsNqtnnnlG2WxWkUjE+OHUNcbGxrS/v29QIEGAJGuBJ8AhC0OPOdGEIUu7u7uKRqN67733lEwm9fTTTysSiejNN9/UjRs3zAgmk0mjtjHOVFJXgOaL0qyJXxepU4zzDUC+AO9bpoHcxsbGtLKyoo2NDY2Ojlpw4jn6D5IzYXQxGj5tpTCFcgGKS+ryYB47YSFJI4aGhiy9pvssl8vp9u3bOjg40MLCgv7xH/9Ra2trSqVSGh4eVqFQUDQa1e7urrLZrBqNhhKJhLUnAleAh4E7MTgZQwbRmnkKo6OjeuONN7S/v28k9nK5bMYQJUaReYxottdzogxEvZ5PzHr6VmMfYddqNYNi/AAdCmrDw8OanZ21KPz8+fNaX19XIpHQ6Ohovw34MQg64AurGJTeQ0TZM/zd1ys8M4GaCQFDLpez5gge515fuHBBV69etf0kyYIKoDEKsRhqCmpkRmNjY5qYmDCoDOOPga9UKnruueeUTCb15ptvan5+XrlczmDFVqulqakpraysdM1A8Q4J4XfWqndPPQi7xih7JgT7pffAV0nmbHZ2dnTnzh0tLCxYtP0oCO5MGF2MJ4pBscx7HLyTb5VtNNrzbPkbiwYdyzMGotGopVIcjf7666/r/v37ymQyajQaunnzplqtljKZjIIg0HvvvaeBgQHlcjnNzc2ZoWQOhNRxAODSklQqlXTnzh2bcwC3luh6bW3NlN9T2CBo0/whyYwcBtTzdj1u59NAX0n1lDL+RvpTKpUMj6ONlOIDbaZBEOjGjRtKJBK6evVqF/2nL6cnOF+CDI+LctKKZzVIHd3yGZnHG33tBL5uIpGwBiUywcuXL+vKlSuKxWIGA8JrZbIeOo6hpl4yMDBgrfe+qUGSZmdnNTg4qPv379vz33jjDX35y1/Wpz/96S4aJNe8srJiRS/fKOKbJYiee7M8qftASY+P83uv8YZmxgk1HELAOsdiMe3u7mp7e1vNZlNPPPGENXI9TD7Q6AZB8B8l/ZGk7TAMr548lpb0nyVdlLQs6ethGO4G7Sv/c0lflVSX9MdhGL7xQZ/hvYwkM6TcxNHRUW1sbJiXJaKTZNxDFhssh0WhJRhgfXh4WKVSSS+//LIODg40MzOjtbU1bW1tKZlMqlqt6vbt20omk7p06ZIZwUqlYkD6yMiI0bp8kcHzGUnV4vG4DeIgssUpRKPtw/SGhoa0u7tr5HaiWE+XQ7l82kfhEcyM62ED8FwiXNYGzBnlYSrT8PCwHVpJAWRyclI///nPLd2r1+saHx//oFv6sZLT2CO9dDGgI4ISaIjohI/0fNCCeIaQb4RgL1JPmJ+f17lz5xSNRt9HbfRtwgQHBwcH1hSUTqdN17gmn6E+99xzxgpKpVL6zd/8TU1MTFgAxXe7e/eu3nnnHX31q19Vs9lSevCBAAAgAElEQVTU1taWNSfwvKOjI2v5P1n/LijOQyye3umvC8ONPWHtgNg4KoyADyE6LhaLunv3rjVhPEwe3qvWkf8k6Q96HvuWpB+GYbgk6Ycn/5ekr0haOvn3TUl/8SHeX1I3R9CTsvGstB/yNz9rloXsbRwA02XxKETdunVLhUJBiURCrVbLqvmkR7AmWq2WTQs7OjpSJpPp6i8Hxjg4ODCDSisxWNP169d1//59Y0lw0wYGBnTx4kV98Ytf1Be+8AVlMhnt7e0pn8/b1CRI2+VyuQu3lTrVa9Kd3k2D0oFzoZiSrLIMLk3BD0MfBIGRwBOJhM6fP69YLKbV1VVrCulLl/wnncIewYFiTEjPPbMA+MFTJaUOdOcLa+gNxpu/IwsLC5qbmzPoC9x4aGhIk5OTGh8ft6zq6OhI1WpV1WpV09PT1iAhdSiT6FY0GlWhUNB7772n4eFhfeUrX9GXv/xlZbNZ2/fMCfnrv/5rfec739Gbb76pfD6vTCajTCajXC6n+fl5zc3NaW5uTvF4XPv7+xbQ+O+BrcBO+BZpbzN6nVMQBJa9ghUTCPG9gOgo5G1vb2ttba2LC9wrHxjphmH4/wVBcLHn4a9J+tLJ738p6b9J+rcnj/9V2P7GrwRBkAqCYCYMw41HfQaeDyPSW2FkkAypBgaSiAwlw0txcw8PD5VOp7u8/csvv6w7d+4onU5rc3PTaGVDQ0NaXV3V1NSUlpaWusjjpPXlctmUB8MZhqFef/111et1nT9/3uYC12o1U0bSFzphwjA0ahhFvQsXLlhRy1d6gS2ASthURKq+/fjkftla+IlgvTxLBn0Ui0X7PigsFWG4k+Pj49rf39f169f1uc99Ttvb2x+kNh8rOY09cvI5kjpRLPcUSh/MBA89oE/+PbxhQUd4Dsbl8uXLmpyctPeG3wodE+ON7pTLZe3v72t6erordeeaoZe98sor2tra0tLSkqanpy3AQZrNpt566y0NDAxocXFRi4uLds0///nPLYqkeA50cHx8rPHxcftcHI6vtxC1+ilsQCseG/Zrg+0AiiOoYa165/5K7fkuH8UQ82mnJJuSpk9+n5N03z1v9eSx9ylUEATfVNvTK5vN2hdnccBESKkAtT1ZH66uj3I9AI7RI6p94403rFA0ODiolZUVNZtNTU9P2ySuVCrVNUADXjAnN/he7sPDQ42NjSmXy+nGjRt67733dO/ePTu6xxu6TCajpaUljY2NqVwu691337UUMRqNanZ2VpLsxoIV+/ZFqXM8e29luXdDYrTxzPScQ8UbGRmx70OjBFiZH4LNGqbTaeXzed24ceORCtUXk1/qHqH45CEBsFWMy8lrTK9IgT3chlFBX3w3GgcEXLlyxRgK0ChnZmYUiUQsiPHFOwplMzMzFhgQLNCo8MYbb+gP//APdfXqVV25ckW5XM6yT+o3d+/e1Y9+9COtra0ZNgoTAliQGbtSR8f9niQYI3DDyCLeVngcnO9ChsD6Ab+xL2A37e/vGy/YQw2c3Xbjxo2HKsY/u5AWhmEYBMHDDwR6+Ou+LenbknTlypWQkYgoBYYTCIC0A0NLoamX/oEXI9q9f/++xsfH9dprr2l7e1uDg4O6d++eBgYGlM1mlc/nFYlErAMG+EDqHN3hu2iGhoa0vr6ucrmsS5cu6eDgwED2ZrNpR6pI6opI5+fntbCwoJGRETPKeNKhoSGbeuZJ6WEYanx8XNVq1VIkDG1vNdpHKz618sU3aC5EzQMD7Wn8HNkyODioUqlkkES5XDbnNzw8rGQyqZdffrlfSPvvlF/GHkmn06HPAInwiEClDqPFQw8eOuB1XofIGnnvK1euaHx8XIVCQZIMvyerokUc40RbMcEKBnJkZETT09O6ffu2RkZGFIm0TzyZmpqya5U6Y12DINBLL72k4eFhPf300zo6OtJbb73Vlbmi7zgWbEQ+n1cqlbJgjMzX7xNPufTi6XW+sMgaYsQZdMNaA//598MJNBqNR3LZ/0eN7hYpURAEM5LIN9ckzbvnnTt57JGCwYJmRaV/b29PmUzGziBDyTy31IPdGB68bxi2R0K++eab2tzc1NTUlJrNzqSkRCKhkZER5fN5Xb582Y7ZYOaDJGuCwEDW63Vdv37dnrOxsaFisWiRKDcpHo9raWlJe3t7un37tlHWaN+Fj8vneGdD2kYXHgYSPA1BmXrH6rF+vtXy+PjYjL13EkS88BPHxsZULBatcMgciXv37tn79AtpH0p+qXsEI+KjXd9C7tNeDCmvA7tFPM7L441GQ0tLS8pms7a30CFaXWOxmHG0afkNgsAMLgHD3t6eXnzxRaVSKW1tbenZZ59VLpczVhKQxMbGhv7pn/5JQ0ND+v3f/3198Ytf1GuvvdY154DrwCCy94+OjlQul1Wv15XJZGy2g4dOPFPDt0/30rmIjH3Qx0+6V3uHtXtMnOCslzr6MPkwhbQHyd9K+sbJ79+Q9H33+L8M2vJZSeUPg1XhVQDAfR+0rxayOKRPYRgauM8gZP+FE4mE8vm8bt++rcHBQTOQ2WzWUuj5+XktLS2ZN/WpmE9LUPhkMqnZ2Vk1Gg29/fbbyufzXUocBIEmJyf1hS98QS+++KKeffZZJRKJrqn2rVbLmBSkLZw0wQ0+PDy0Th+gAe/BPZyCwfUdb6SAwAsUx2BgME+Uz+UzUSYmvDH4ZmdnR4VCQel0WmtrH2gj+vJL3iP+vhO9cZ8RTxWUOvx3HvfFJI+HNptNzc7OamxsTFtbW5LadC4abWDsUD9gljVn9BFBsk8bjYY2NjY0MjKi3/md39G5c+e6agzNZlN37tzR97//fTWb7Yl+pVLJis2+EEamhcFeXV3VzZs3bTbK1NSUBVp+hoJnI4DvAid4zFvqDHXn2nkMQ80aRiIRG8JDEOadGa/Hbj1MPgxl7P9VuyCQCYJgVdL/LunPJP1NEAT/StI9SV8/efp/VZsKc0ttOsyffND7n3yGnTMmybzL5OSkLVgQBHaagTcuLAxFNuCB4+Nj3b17Vz/+8Y81NzenarWqnZ0di0IB6OHb+nSsXq9bY8Rbb72lSqWipaUl62jb2Nh4X5oCvWpra6srYo/FYvrEJz5h1UyutZdL7Dt3+B71el3b29vK5XLvm73A770gPo+xmThDKpvNGqZdqVTsnKjA8Skx7JzFtby8rLW1NeVyOeVyOV27dk137tyxo0360pbT2CM4aqiKvvgMrguU0NtRJXWP7PRtqo1GwwZ8QwkjUjx37pwZcdg8NE8kk0nDOlOplObn53X9+nU1Gg1jFbRaLaN/Dg4OKp/P6+bNm1ZUy2az1vRw7dq19zUm4CDgx1NQv3Dhgp0OsbOz05VBIhhi/3/f2OQZP5wuLKnrdHAiak8lk2TTxYARPB+4FzN/kHwY9sK/eMifvvyA54aS/vSD3vNB4gnWfsAxlDGMKdGt1N3iJ7WbEkZHR41H+7Of/cyaEzjckc6XZrOpmZkZSR3MNggC8+rw8sIw1Pr6uiqVijU3+K6gaDSqJ598UouLi4rFYnrllVe0vb1t2GgQBJqenraiVhh2WntTqZSlaX4i/+HhodbX13Xr1i1NTU0pmUza6EYiCrw1DApJ5uFZD+AD+MpgsRhsHzlzbXSoHR0daW5uTpKMrQD266vNfTm9PQLHmhZtCsI+7cZoeVaC58cStBDJDQwM6Pz5810ttdQ2vGEHkhscHNTc3Jy17jIx78knn7TM8JlnnpGkruz11Vdf1dtvv21zsIMgUDKZtACAM8x8HaVer6tQKFiGOTMzY7p9fNw+fXtiYkKtVku1Ws2K0DSLeKjA47TeoLJuOCeMbi8k4+8BEe/s7Kydr8Z7U9TztaFeORMdaZLMUMISwAgSfSIYGRQGDwQQPjo6qr29PTs1eGZmxgoGY2Nj2t7eVhAEmpmZUTwet/maTK7nuB1O352dndXdu3dVrVbthntAPxJpz3VgJsMzzzxjxQYKBESuGD/61VE0qrwDA+0jeJaXl7W5uakXXnjBIle8J7Sd3jmkRDxErL3FtnK5rNXVVcNjaa30rwNvw/ByeOWrr76qQqGgzc1NjYyM6Mknn3xkdbYvv3zBWaMvQANSd/CBI0UwHkR66AVGaG5uzjBRGow8/3dkZMT2BGyC4+PjrjkL165d09WrV3X16tUuiMN3rxUKBdO9V155RZcuXTJI0F8z2VmhUFC9Xlc6nbaAgDkrTB2bnJy0s90ILnwx0Re+POTgDSoBiIdGyAokvW9NwXAZfsOcBa4Do9ybCXv5H8V0f6nSarXsIMpms2mFM7wkCwZYD7DuFSoajdr8znfffVdvvvmmstmsJNlcAeYnTE5OmlEk9eE9rl27pp/85Cfa39/XrVu3dPPmTbsO/sViMX3xi1/UlStXrKOGbq9EIqErV65oamqqi03BDcVY1mo1+y6cJXV4eKjNzU3t7u5aJOBpMZFIRKlUyowqUQGOp5e/SzMJMxUqlYrS6bThuH5z4MR4Dzbh+Pi4Ll26pGKx+D4opC+nK6TM3AfPxUUffCeVFwIT3504MTGhbDZrHWV8BnQvSdrc3DTMF2rh4uKiPv3pT1tU96UvfclgCbDjnZ0d/d3f/Z3efPNNo2V6HHptbc1gDF/L2d/f1/r6uqLR9kGWnjoKXQsaG8aP6ywWi1Zs9tfD6z2zwa+lrxsBMxAJs38xuh6yoYM0k8l0wXsfJGci0iVaA+tMJBKWyuA58LoYkd6UgdkBxWJR169ft+4WSV0nAE9Pt+mSeChSdrAlGgfeeustFYtF1ev1roXMZrN24u7k5KRNB6OSSzXXRx/cfDAw0vleasv29rZ1h1UqFW1tbWliYkK3b9+WJD355JMaHx+3FIn3x/jSiIHHh81wdHSkWq1mz+U0VNZeks0S9bMkOIFienpaFy9eVCqVUqFQeGS3TV8+GvFZjdQNNbAP0Cce8wUzD0ERfZ4/f74LTiI1HxkZsdOrk8mkFY+gRGazWU1MTOjpp5/WU089pVQqZfM7wjDU9evX9corr2hkZEQrKyvKZDLWFu8ZRj46p3C9vb1tUCB7R+qMf6WlPxaLKZvN6u2331a9XjcnVKvVbFwAhtYbVwwrc7Xh3JJJeEjB08bYH3yO39+Tk5PW/uyz74fJmTC6UudMMYa+UDQbHBzUzs6OfRk8JREqaQSHza2srCgejyuZTJoR5708Fnt0dKSJiQk7nhkjPTExoY2NDW1stAvKKAg42NDQkDKZjKXen/rUpyR1jkhBiXwETcEOBzI2NmYT8DGUe3t72tnZ0czMjB0FdHBwoFQqpXQ6rTt37ujWrVuSZFxHnJF3Cmw6fhIdcPgeOCCDTbwzI2rwmwHHd/XqVa2srBi9rC+nL36GgZ+/AOSEs8VA08no28IxZLR281wKakEQmFOdnJw0jq2npV27dk3T09N64YUXLMUGuqMATrEbvm1vik5EzWPValWbm5tKJpOKx+Omv3w23zkajb5v8DrUNJgVGP9e7i0Gl3/1et0gkEajYc0hPpqVuucY92YR7Jt0Oq1isWg0t0fJmYAX+KIY1L29PUtleo9BJhKV2oO99/f3tbe3p4GBAVUqFd28edOIzCweygR0QVTabDZ19+5dvfbaa9ra2tLW1pZWVla6rmlwcFBPP/20XnjhBSUSCRWLRa2vr9u1UDX18ANe1R/tLsmiCKJ4xiu+++67KpfLmp6etiPmBwcH7aTShYUFfeYzn+k6btsXTVBcaGNEt6xfsVjUjRs3bB2kToSLESZCJgX1dKREIqF0Oq1kMtlFnO/L6YqPXDGokszgQvXD6IBPcm/BS4EVMGJSN3RRrVatxrG/v6+LFy/q937v99RqtU9yeO655yztx0G/9NJL+t73vmeDkSYnJ00/MY5ABDgPaIwrKysqFAqanZ1VMpl8H34NlaxSqejg4ECRSET5fF63bt2yrJBBUWEYamVlRffu3esKRnxRD8iO9ZJk0a+nY3KNBCA+yvVCdn7x4kUbGPXPooydhmAcgyCwWZ5+LiddVL3tqTwGm+HevXvKZrMaGxvrSoGJeIeHh21KFnDC0VH7qPSf/vSnOjg46KJDBUGgK1eu6POf/7wZo7t371q67mk63qPCGgBLBjKQZN8NriPGfmNjQ+fPn7ejfObm5rS1taUbN27ok5/8ZNem2tra6jqUD0ExKNhxoN7Q0JA1g5BCsY5Es76yS5RAeiZJ8/PzOjo6sjSxL6cr3Idms2kznH1xFTjAR7+9XFz2xPz8vLXXSt0HT6In0MrA++fm5vRbv/VbymazXeyAaDSqH/zgB1pbW9PQ0JB+9KMfKZvNGtznDybwzIRIJGLF2UQiYS3E4KgEX1BJmUldKpWUz+cVj8dtMl+r1T4enQNph4eHuzrffMMEj3kuMEVjXouj8g1ZvhkCB4LwHIZD3b59W5VK5aH38kwYXanTDhiGoeGWLBg0LWgrGBq+fKPR0DvvvKO1tTVduXLlfec1eVxofHxcY2NjxkbIZrMKw1D5fN6eAyyAkSmVSspkMrp48aJFm0SI0L+49mg0akNt4ATzvrArms32eLpKpaJMJqPJyUlVq1WtrKzo0qVL9p0WFhbsSBAwYd8dx7pxzUTUMCb4DkQu3oOXy2U7sgXPTGTEBsSrU5SbnZ3V7u6udnZ2Tk0v+tIRshtSYRysP5DSt8f68aMEKOfPnzd+tk+bgZGazWYXbfLo6EivvfaaXnjhBS0uLtqeJMJMJBKan59XPp83BhKBEzpHBOq7yba3t9VoNHTu3DnF43FjLhF8EQxRYMaR0PTDnoZ5xBHz4+PjdtZfb3HMN0D4ol+z2bS2Xfae31fe4Hp74iN2qZ01ptNpgzgoWPfKmTC6KEChULDo0Kc93pgMDAxob2/Poj7+9s4772hmZsY8vucnkoYVi0XDpUgneMyn6J/61KcUjUb18ssva39/Xzs7O4rFYkokEnaEOs8lMsYb+8+D6kXaDlMBQva9e/cUi8W0uLio9fV1u7bJyUmtr6/r/PnzmpubU7PZtFMbfFsk0juzlJ/NZvtQzTt37hg0EolElMvlVC6XLdrnNXSl8T18gYONtrS0pFQqpe9+97sfnUL05X1CVBaLxXRwcGA8WfYBM5c9RYoUHcx2cHBQuVyuK8L1esRJvBy8yECn+fl51et1K1C1Wi395Cc/0fLysv7oj/5IyWTS3gPqoa8p0CVWLpdtjghHqLMXvFGLRCKq1+t2KsXm5qZisZjhpcwhAQIjeKIgTrSM8+EfRhhGArrPKcRQ09g7cKB7ue/+wAW+M3uIulAYhg/NCs+M0fVdYJK6vBTRrcd+qcYfHh5qY2NDyWRSc3NzKhQKZuD8gBCiNaAAPwOTEyNarZauXr2q3/iN37BWRklWcMDDcRNJ8fHqdPtQ7ZU6N+nw8FCFQkFbW1saGxvThQsXjODNGVUcGbSzs6OlpSX7bKJlomrfi07Ui4KwOVEIIupsNms8W74HCktE6x0d94BTBJrNplWME4nER6gNfXmY4OT9YBWMiT9dwZ+sTYdaJNI+wTeTyRiu6SNdIjOMEvNqh4aGVC6XdXR0pFKppOHhYf393/+9Njc31Wq1O8ni8bhlYf4oJ05qWV9ftwFT8/PtsRMEOlwns1YYecpEr/X1dY2Pj9tkPAp6hUKhqxCMwdzf37dI1q+Rx7XJAiiiFQqFLnjQQxK+NuQpb6wf78taAyXCknqQnAmjK8nmEMCfpfsJI3NwcNCF325tbWlhYUF7e3va3t62tllf1GIwtyT7fxC0Tw6tVquamJhQo9HQ7OysNjY2VC6Xtb29rePj9vlqn/nMZyy99lEDeBhtiZLMELIJpE7Pe61W0/3795XP5xUEgVZWVjQ+Pq5cLqdisahqtapsNqtyuazj42PNz89rYmLCSN8I341GD/i6PkrwbdNUfZvNpnZ3dzUxMWG4uWd3cP10K7HmvBeRNAUOP3SnL6cjGDSCBgpp6KWfJlav162QKnXogFAWeS36RAaZTqetcYcmiFKppFgspl/84hdKJpN6/vnndfHiRZu98O6771rhmn97e3sW5aVSKZ0/f94anvxAGIzW8fGxDeqnHpPNZq2rE+hRkjF9MplM13hJomngC6kzthJWA+2+sBRYK/BnAjtPNSNb5b25Zs8fZp94g/wovu6ZMLqejE1qzrQv0ie8cS83dXl5Wa1WS5OTk11dNSwUERwLRhQ3OjqqSqWi4eFhffazn1W5XNY//MM/qFaraXd3V7Ozs5qZmVG5XLY2XdqApQ5Gy40nfUulUhbZMozntddeU6FQ0DPPPKOnnnpKm5ublvInk0nduHFDmUzGUi4aKPywaBwQygI+JXX6yqXOKMdqtapSqaRisWhevLeYgAfHuINl+WYJZlHQhsyG6cvpCvfK67Mn9fsCGrrB8xuNhtLptMbHx208qc9siNr8rFr0JZfL6fDwUC+99JKCIFAmk5Eko5JFIhHt7u7atTCvempqyuA0hCiWQhXFPdgHQ0NDun//vnK5nHZ2dqz47ZumRkZGjD8uySJRvx5SB17zBWi4+T4CLpVKXV1pvUOB2Fe81rfhs+964Qeu7WFyJoyuJNvwfngE6S+cVQwxUVm5XNbt27e1tLRkKbgnLvtOHd7TtxSSFnBC6YsvvqiVlRUzQPv7+6ZcMBYY/OE9HZ+RSCR0eHio5eVl66hptVpaXFzU7u6uCoWCyuWyJiYmNDc3Zy2WuVzODPbU1JSNk/RT6cGFJXVFCfwfPFZq3/hSqaRXXnnFCn98Vx+xh2G7PZheeyImSV1whSfm+yJeX05XIOlLHYzXG2PE80gxrnBnvXHxjUdAVOg+HZ71et2M6vT0tF566SVdunTJHDgRdbVa1dbWli5cuGDwk+flor8wiIAHRkdHNTExYY0FQ0NDBmNwjBZ6z1FYIyMj2tnZUT6f1/T0tDkRb3wR4BJ+B34AiqjVajafhbXDsPJajCvDqKTOgbSIh+Z+JSJdwHSpQ3tiqhY8XQwfFcFIJKLt7W0NDw8rk8mYQZZkC9prIHz3zcjIiA3IKZVKSqVSunr1qs6dO6dYLGYcYKJZRtxxY32hDsyIIeDXrl1Tq9XSCy+8oFwup4sXLyoajerOnTsqlUrK5XKW6kxNTWlubs4cA1XUUqlkcADFA8QfyUIjBBXdMAxVq9WM9wtW5j00Bwj6NT8+PrbDBcGp+I5Q7NigPmLuy+kI0A5UJzY12QdClOYlkUjYsKfeaI094jvRgJPq9brq9bpu3bqlxcVFjY2Nqdls6vbt20azwsHX63WjovlsyDsFsk3grbGxMd2/f1/T09OKx+NWjykUCpqYmLDpdxycylCs7e1tLS8vW1ERXfUzWjC+RLhkAcAwsCxgI+CMeK1vsaYu0/tcv4ZEu+ydX4nZC/RUl8vlrtZFQG88GeMfwVQ58YF0xReVKCAEQWDDNjwmlk6nbSYDaQFpdCwWs550P8gY3JMF5katra3ZjM/nnntOiURCP/vZz+wMsnQ6bQyCarWqdDpth/eBo3osO5vNqlKpWJqPd+bG0/rILF5vUCl6zM7OWrHB41R+QAffGzgDbi8QB5gVHMiHTU7qy0crrVbrfWMEyTx8w0EvMT8MQztE0vOueS4/BwYG7AxAKFQ0JGAUfbbEHq1Wq6rX65qdne1i72DcKITv7Oxod3dX9+7dMw4uJ7lQyDo6OtLq6qqGhoZ0+/ZtNRoNTUxMdA1kevfdd7W2tqZUKqVms6nV1VUdHByoWq1aAOQ7zpjJsLe3Z0FGo9GwQzTJZB+25l7AwD10iX3B7vjo/mFyJiJd0lo/pR4s0RemWFAOc7xz546d3eTpI5K68F1/wi9MCU4GJuolGqRoJ8lad2EmgHuhNBismzdvamdnR7VaTYuLi/rEJz6hIAiMckaXD6+X2pAG749yBkFgo+r29vbMCFLYI/2jI297e9sMNunR7u6u1tfXVSqV9MQTTxiM4rm8fo2JAFgXKt9sXt+N41O4vpyueDz34ODAnCJ7x0daHm8cGRnR+Pi4Wq1WV+GJ/eIzLFpsgehgNHCeGXs0CNoDmxiRSiOCn7CFPhHkUPhNJBLa2NjQ9PS0KpWK4vG4tajv7e1pd3dXo6OjFpCMjo5aVraysqIgCJROp22+LgEThV+kVCp1sRLAcClsw8tnnXBiBBr8I1IPw9CgTWBKnoPzYh95ZsiD5MwYXYpPtOKBMcJI8OA2hpHRcuDBHLeD8aTyznAQ3hcOY6VSsYUlamSmgqSugc+8HxQsjlyfn5/XyMiIqtWqLl68qMPDQ92/f1+jo6N69tlntb+/b9P4OZiSFIzvInU6jZgtCr4VjUYNFgGPrVarGh8ft+466HH1el2rq6u6fv26jbQk8vCtvb2pEBVh1pICWjQatZMjcAzecfTl9IRCEh1Tkt6XOhOB+WgW1sDR0VHXkCOi5OHhYWswQL8wIsyQRld5H/jtkpTL5STJYKdaraZSqaQw7LQqswcZSTk8PKz79+8rFoupWCzq8PBQt27dUqvVUjKZtCE7ZGQYxKmpKe3t7Vk3KIVo35p7fHxsWDAnXvv6DkN1MNiIDyqkzrwFAhCfcdI44iNbns//HzV/4UwY3UajYePaUCIGq4DNHB8fGwhO91ZvmyHGG++UTCYN2/XDbnwq4MF3Bjj3EsaZUL+1taX9/X1lMhmNjo5aK+/k5KQSiYQmJycVBIHK5bIVsEqlkqLRqKamprqKeJwuEY/HjXQuyYzdwMBA14R6FDoSiSiTyVhBDuU8PDxUPp/X2tqaPve5z1nLL9E/BQ82B86Fv7MOODuvpMA7UnsTQ9vry+kJmC6UL/TZTxQDs8SZNhoN02f+huFlD9AU4Oc1+BZjDB+BCgevJpNJS/H39va0sbFhTpogYXR01EaCUh8he/UsGfZKLBazLrZisah8Pq9ms2lzfP3htbAY/ByFWq1ms3ibzaZSqZQZP563udBsnjQAACAASURBVLmp4+NjpdNp02/shdRxSFIHF/ZOiuv28CK0Uu4DMOfD5EwYXb5ArVazzidI2XwhDOLx8bF1WV28eNGKP36wB3NtqcD66fCeAuK9ul/Yg4MDlUolO06dCDGXy6nVaimdTmtubk4HBwc2iu7FF180Qjej7I6Pj7WwsKDJyUlJnan0P/7xjw27ffLJJ81j+xSGCNhHMPF43LDf8fFxxWIxe998Pq933nlHTzzxhD7xiU+oXq8rn89blM7YSHAoNhTFGT+1yRdpvBK2Wi1jdPTl9IW0ldTfp8BS57QC6IutVntAja++U7dg/gfsIARDAp+9N5KmABaGoZ2kTeNRvV63Rgiaeugo85AE10YBD3YFen50dKSf/vSnqlQq2t/f1xNPPKGFhQULwoDUfJDGcKhWq2VNRn5Oy+HhoSqViorForXxs6aeydTLOvCRK0EJGLPPwInIec9H1T7OjNGV1NV0QPRWr9cVj8dt2hBfslarKZvN2msBuY+Pj+0YHM9j9VQyqd3p5YnU0KYYOPPWW28pCAJdvXrVItitrS0tLy/byEU8tJ+ChgJms9ku3iM3IZlManNzU7OzsxZt+htL+kh//cjIiLa3t5VMJlWtVm1egodfKM5NTk5qYWHBYADGROKIKMTQPs3mAu/C8BIF8ZOIBJZEnzL2eITAgSDAZydEchTCSO8pCPe+tlQqdeleLw1Rkr2Hh9h4XrVatWCmXq9rZmZGo6OjisVi1rSxublpqXksFjMYb2JiwiLmVCqlWCzWxQLK5/NaWVmxDKtQKOjChQsGIVJTACKsVCr2OcBtPlihMEhDBwYTGJLnw6v3eKy3L6wtj7MWvmmCSPdXgjJGhZyiFt7JD+KQZJQopnh58JujfvjinhrDQng+HsqKkT86OrIIcnFx0dIUbkIqldKzzz6rjY0NO+LdFy2q1aqWlpYMcyP14ASG/f19lUolPffcc1pdXbUjg1BsIm0ilnK5bL3ckUh7fBzfg40EPY7RchRDgDTon0fJpc6IST6XogAHExKBUFTBQPuWyr6crmBgiaK8jqGD7CMMhK9FSJ0mJG8UiIrRKRwq9QZeCyxFNkm0V6lULBvNZDKKx+PGuvGno4yMjBh+W6lUdOHCBYMZgMHISmnPxViTYfrAqdFo2CnCBwcHymQyNpBpfX3d9orUxr7L5bLRT1krPwvFD8XxhpXvzlqx/hhqPwrAF+AeJWfC6JJWDwwMaHd31244IDxV9dHRUSWTSa2srGhyctIMLAqIwQI28D99+54vynkF8so6OTlpCrG6uqp4PG6Y09zcnIH5ExMTGhgYULFY1Pnz5y19Y7QiRgoWw9jYmBYWFnTu3Dnz+pK6nMLR0ZE2Nze7ihSkc9FoVOPj4xZ5UliYn5+3TQKtDQoQxQki3L29PW1tbZnx9RVYr3x+Q0Cz6+0y6svpCC2y4IlgsL6JBaNLsEHnVm9m4gvNGBEiRU91glHjIzwcNPNGWq2Wpe21Wk1TU1MaGxvTzs6OQRVzc3NdRpSmoXq9ro2NDcXjcWUyGYs0p6en9fzzz2t3d9dOoiZzBdfe3d01Fg88fRgJNHiwLhzK6nUdPWZtYrGYwWZMCSMzYA08Xx7Dyz70+C5R9MPkTBjdSCSieDxu1dlyuSxJxg3Fm3Pszp07d/TJT35SiUSi63Rev0C9E7QkdSmnN8B4ULxoGIZdBYFqtap79+5pdnZW8/PzxiQAO4Y2w/wIbgReD2cADMFx1zwGyZybdXx8bAPO4/G4qtWq9vf37RQJNsGdO3d09+5dzczMmLElmoHPDBZOkYP1GRgYUKlU0ubmpo6OjjQ/P2+Oib+jSPxOCtbn6p6+YDz8xub/krpofGSGHqfvpTX5zi2PDfdGbL4RAx3wnxWPxzU2NqbV1VXVajXt7+9rZmZGExMTWl5e1tjYmFZWVjQ7O2tNQPV6XXfv3u36HPYkAdfly5ffN60Po7u8vKzDw0Pbc5LsIFoagjDOx8fHun37tumwp7T5KF7qtNCzj/0pEDgvgiOclGcEfVBTBHImjK7U4Q5KMgB/YmLCDBjRG6RtJsVjcFkMjKmvwvYWkLxxptOECJPP4wYg0MGYw8Bx0ES0KLAfLYdX9TQTqp8oGsc3g5NxMzG6DGpmEj+41XvvvaeVlRUNDQ3ZmVVgwX4QM108rB/nT+3v72tqakr379835gP8XaALT2dDQX0q1pfTk96IE+oVeiZ15mkAQ3i95P5T90AX+RsZH+/9IFqhpK4gCIMjyeYl1Go13b592yiLQFXUKAqFgiqVimVgMBuI4tmP/tDY4+Njey3XODExYbMaGo2GJicnrYGDotbR0ZHeffddy9BgBeGMfDGMv7HvI5GIRkdHtbOzY7Can0vhKXD862VDPUzOhNEFV6QS6WfWslgYQw6egxLFuEM8FF/Wp0+eu4jB9UrFgmGE/f9brZb1kkciEW1tbSmXy2lsbKwLPyViZRI+XXZQWxi0QUsxGLTU5kOWSiWDHGBMEFWgYLQI37t3T+Vy2WaIUsigawcjPjg4aP9H+SORiGKxmMbHx1WpVHT58mWbboYjaDabdj9QeqnTl943uo9H/KbHMHp+KUaUe49BJNuSZDg9xtsbXCK33ojNR7uIj4zpGk2n06rX63aE1uzsrGKxmD2X+gOw2+bmpk03KxaL9v0IVggitra2tLu7a/z0bDarYrFoQ9TpTKWwTHb23nvvSZIZavY6tsCzPlgfnBUGeHh42FhV/F3qHBXvZ7EQQXsH9iA5E0YXYwfVhCIOqSwRLVX4CxcuaGJiwoyaNxIewyXq5P+k8J5aRirG84kmfJMA8ML4+LgWFxcltTEgjzXToMB0Jehj3AhuDt+Fz9rf3zcPzYg5qRO1pNNpU1rmRdB7/vnPf17nzp1TsVhUoVDQ5OSkRfmQ4eExQ6vzlWxOXB0fH7eWT6J3uJBcM4qJMvbldAXIx9MekV5mDveLAhm1EShiPjLjnvogg73CfvKVeq6F/YgucMKKJDu9gdkIRKzxeFwXL17U1taWSqWSnfBAt5ovYpFR4lyoW1AUw0ZAf/N824ODA12/ft26TqUOPEAww3eSOk6MKJf/DwwMWIBXr9dtwiBZtKT3OapfCrwQBMG8pL+SNC0plPTtMAz/PAiCtKT/LOmipGVJXw/DcDdof5M/l/RVSXVJfxyG4RuP+gzSV9/EQBvv4eGhqtWqVVmhZfn2WYyeLyagFCiJVxgUzzdL9DYJ8Dik9FQqpWQyaQpKtEeqQTrkK8ZBEHQNTo/FYtrc3Owy8gzWoXOIzQPHkvXZ29vT6uqqnSjx/PPP2+bIZrPa2dmxtYG6I8nSJM/W4DtQUCACpmjJRvGHbvIdemlFfTmdPYIQkflmH/ScYAHd4u9kPL2QArCcv780HPm9hFHxOuRxYXSsUCgomUwql8uZcePvFOVIy+k68/UCPrNSqWh1dVVS++TrVqtlBWdm7KZSKSt2Y6wPDg60tbWle/fuWQDn18HPp/B4NQbZR7zoOqMwOfSgUCjYWnjIwjNCsAEPvYcf4j43JP2bMAzfCIIgIemnQRD8QNIfS/phGIZ/FgTBtyR9S9K/lfQVSUsn/z4j6S9Ofj5S+PIUa6Bx4bnogioUCtZpgnfqbXDAY+OxuDF+4UmNvJdHUXqN0uTkpLErfLTBgqOMfpYCBTH65CkCSDJDVygUjBJWqVQsGuFzJVmPOQ0hRK5EtPSv+0HjnqMM7OFPjwVj9hihJIuISNlodeT9MN5+4llfJJ3CHqGQ5o0kj2P8fNqMjvW2tyK+kMRrPN/XF+DQG4wme0iSwXSjo6O6cOGCZXCed+s7u5hxQvuu1zH49ysrK0qlUjZW8vDwULVaTdPT0xoZGbHjgdjDtPxubGxofX29C0rzQQJr5plKPO4pYD5qZa/xnmS4pVLJomuiXdbtg4KSDzS6YRhuSNo4+b0aBMF1SXOSvibpSydP+0tJ/01thfqapL8K23f0lSAIUkEQzJy8zwMF7xYEgWFCcP28wIVNpVJ2hAcGyhtXKrt4dVgKeDZP8/DRLj+98SbFAF/lMW6e5wmT1hEJU8iKRqN27lSj0VA2m+065QKsllSf60eZisWiVlZWND09bbN3j4+PzQgyTIco1ntZzy0E/2WCP+wJjCrn0wVBuxtpb2/PWBaS7NQIv+n6cjp7BOPqOetS97HsiKc6EYURdBCI+D2AeAjDP9dDDvz0dRH+7g+C9QaN6wOO8EwKoIPNzU0dHBzYWYREl6urq5a5NZtN2084oXq9rq2tLW1ubhrsAEuIa5O6D3Dlu3ENGFwya59R8x0oRMK5TyQS2t3dtQzCMy18lv0g+e/aPUEQXJT0vKRXJU07JdlUO7WS2sp2371s9eSxLoUKguCbkr4ptZsOOLLYV2M99YVokciX9BfB23CTWXipc1SPx6lYYE9b8fQQqTPZyRcifMHCFyt6sTBu2t7eXtdoSEl2KCTHpzAFCiXhPDVoXcvLy1paWtLExIQpnB+24SNXvzm5Ht+ZBwUuHo8bzszaErHQKEIUTtTCY/3ZCw+Xj2qPsJk9RayXEil1jAvOkWl46LyHiXojPz+ngM/wxrMXN/YVe0+dIltEF70O+sCkWq2qXC5be3u9XjcDC+uGswM9716SRZvr6+va2dmxAryH1XrxVQ+heDaTx8i5ZmYLS+qyHXRkwutlZACsKkn2/R8mH9roBkEQl/Q9Sf86DMOK95BhGIZBEIQPffEDJAzDb0v6tiTNzs6GJ59h5zPhOUl78HIUqYjydnd3rb8cBoPHblAWT3UhKsUzowie79tsto+ipkOGqBaF5nqJBvB2eFIG0SQSCUUiESNnx+NxU37/fBo9OKft7t27Vux66qmnjJ3A0GbPJ+xtAKG7j040Poe1HBgYsCE+nGLssTFwLJwHOB/dTL5Xvy8d+Sj3yPDwcOgNrC9w+WiT55AVeiqlZwd4HjbGnIzQi+eceyjAV+jRL16LM/AUNn4nOj06OtLu7q6Ojo5szClUxu3tbc3MzCgajVqDEAa31WqPPV1fX7dZukBiXI+P9D3zwjsT9rN3XDgUbAyZIMEeETsQCllwPB5XqVRSpVKxQVb/7NkLQRAMqq1M3wnD8L+cPLxFShQEwYyk7ZPH1yTNu5efO3nsoULhjAXDU2C4WKTR0VFlMhl7rNlsWkXWY6ssNuwBbyiglXlPjdHy3tnfLJ8S8R5cKy2LVFuZrcDjAwMDFulyqjHTw1Ay5ksQTTKUfHFxUbOzs9ZGiWFFYTyP0W8CvhNHDPEcCnNE+X7otF+XVqtlRQ6pXUmmCEO1uS/d8lHvEQqdPl32abuPgMMwtHkEvrjDnvCQgYflvJPw+u4f7422iZI9nEcQQ+RHpMtR5+Vy2QZS0QZfqVS0tbVlZ7l5mI/aTqvV5uCurq5qZWVFkmy2Nvte6s5GuZ4HYa290S4wHIGUJJtSyP7A8HuIJwgCY2sQvT8qG/ww7IVA0n+QdD0Mw3/v/vS3kr4h6c9Ofn7fPf6/BkHwXbWLA+VHYVWSrNkATimpQqvVsm4svsTo6Ki2t7dVq9WUTqeVTqet8AZei1ck8sMIgV3ymL8xpCMsJt6K56CovvjkPaPUgQ2SyaTNcSiVShocHDR+MRGkH9wRBIG2t7d1eHiot99+WwMDA3rmmWe6igFwFzGcrBOGenh42JQPBfF8x9HR0a7zr7wH95Q8HBbD3YEf4vG4giCwc+L60pHT2CO0jNNl5Vk6UvcAbdgunILiC1v+JBGpm4PrHas3YOyX3pTZz+LAEJEZSZ1Gmkqlot3dXTumh+FSRIiFQkGNRsMKZZ6PTGcZGef29rY2NzctEPEwm79G7zT4DjgMz2f2z+O5fCefBUgyWirfDfyb9QQayeVy1lX7wHv5qBt9Ip+X9L9IeisIgjdPHvt3aivS3wRB8K8k3ZP09ZO//Ve1qTC31KbD/MmH+AwzBFIHY6KIMzQ0ZLMOzp8/r7fffluvvvqq5ufndfHiRSsAeQPCzfBMBNIbX0BAWTwlxkcEKCHemuN16KJZXV1VMpm0MXa838jIiGq1mhnYXC5n74UiMRqSISAcivncc88pk8kYDEBkCxzC5qBCDYQB9cz34zOGj7SM742j8FEE3xOlJHrxkUQikXhfJbwvH/0eAR7wxTGMHg6T+yzJ6FOpVMrawD3/nCyQ9/YBiDeuvUFL72v4TN88QLTNPASadlKplOGuXA+6BXTI6xDa7SuViu7fv69qtarR0VGbK+EDK/7PPwIPrreXYudrN94Qo9/sM4KRXmaHzzAI9lhbTk1+kHwY9sI/SXoYB+LLD3h+KOlPP+h9H/A6SZ3jMzC2iUTCfh8aGrLCzltvvaV33nlHv/3bv62lpSVrs+WG8ZOClveGHkz3NBlYB/56egsApHlQ24A7pA6bgZ9Sp5/bF9lIP7a3t60bLAxDZTIZnTt3zkjj8JDBVKUO7xZ4gAKJ52TicIhYiTg8Ju1bkfl+nB7Ba9gQYHn860e63XIaewTYS+rUPnyQwQkQBB8U0XZ2dpTJZKzAhE74dNq380qdqFnqzFT2mRAO2zMdetNt9jHXOTU11aU3OAv2IZChL5QxzKlQKKhUKpnT9+MZfdQudaJXoA+pg3/z90cxC3g+WDjXSWBGN50vKLL+YNu9BbxeOTPcH9JmoAGGszQaDZtP0Gq1lM/nNTQ0ZEd3VKtV3blzx/i0VBopfpEi9BbUwGm5SeCzpEoe8/VHBmGgiSgxeP4UXYwwxpZuFjDd+/fvm7IzM8GPeIQqhtGT1FXEYLq+j+CZySB1iPOeQA/MgMPgc1BONhOUMr4n60bE7fm+fTk98UbDQ2c4XV8TKBaL5qyPjo6Uz+et4OSjWl9g4319dsf+43noiueh+wjX480IVCsfEaNT3rhTA0GXd3Z2jGIZjbYn6/kI3V8v4hsbPBfX0yn9enp+Ld+JvY8d8Qbbd+FhR6CbwV9mPR7VtXkmjK7f4HzJYrFo1C9PFyMSfOqppxSG7dm6P/3pT3Xv3j07Qt2nKZFI51gQSYaDAkFQuUf5fIUS48nnc1MYd+h5i1Ln4Ex++hvZaDS0sbGhra0tZbNZzc3N6fz58waNUBSMRqN20i9FOAwiEYxfM5wByi3JjDOKRwUaDIxNFgSBDQdBOX3RkE3Ea3BEe3t7p6offWkbr+np6a56hC/4eDzzwoULOj5uz7PlhOnNzU1tbW0pFotZ1IveoNs+tcbo+mjRP9cL19H7OE7aM27YC547jJ7W63Wtra1pb29Pg4ODRsvi7+wzH/xI3VPSfBHdF5x5nceLqX3wXPard2qeHSR1MuheiI21BMJ51OkqZ8LoBkHQNeSGmQG0+LZaLfspydKUSCSiyclJqxqGYahXX31V8XhcS0tLdvAkhpw0ndOAMR6kQN57ErUiHsfhID8Mmh8AQ5Rdq9WsIWJ7e9vmiD7zzDNaWFiwNEnqzLCNx+NWEPRdMBTBcAakPigOz4c3GIlE7MQAcF2w5SAI7ABQ8GmUDCoekTDcSX+goNRdpOjL6Qj3W+pseO+Ee7sox8bGlEqlLEpbWlrSzs6O8vm87QtP5Ef/MZw+CvXsHo+ZPixVZ//w/jzmsVE+p1ar2Sze8IRPz5lo/vN8t2UvnCd1aHBAHj4q9TAEODJGFfFwAmvhIUl0ngif9W80GnZWGzUj7wwfJGfC6EqdM4gwHlLnRvmF9ZEoXyydTiubzWp/f1+/+7u/a+nVrVu3rNcb+MEPIfZRI2wJcGEPF/CZg4ODSiaTymQylm7l83lrbazX6wqCwKaf0Sp4+fJlpdNp5XI5w2G5Bg9v4Gk9bU3qJnWDyfn0CQ/L40Ty4L8og//evl2TNfCUGX8vPKPDX39fTk/YyOiAx1ClTudhb8SJMR4bG9Ps7KxyuZyq1aqNYfTsB5/+o/+8B/+AAB7UUosR9pmSn2qGrhKM1Ot10zsK0bwX78tPqTMYi+/pHYN3FlwX4u0H14UhZr/iVHgd68A1ewfTew18D6kTwPmGi145E0aXi2eBvSfHu7H5MVJEbqTOkuwwvJmZGTUaDT311FNqNtuDMFAwThj1xadisajl5WVrreUYHV9Y41oqlYqWl5cVibSPt9nd3bUW2mazqfHxcU1MTGhpacmMIRgsRSqfwnGTOdWBzRONdjq/8N69R7P7o0J8WyeZAdxIqbvFE4WDX8nf+YcDBGcjouL1H1SI6MtHJ34P9OKZvcVgJt9RDAM+ymQySiaTXSmxL6iSCeLgmSFSq9XMGENN7DXwOG7YOb1tspJs3CnTxTy27I02e9RHx95JeDob0jtDGGfVy3RgLTHsPN9DnBhaomz/ngRKBF9g6ARnj5pPciaMrtR9hIhfeEldFUMUCxy02WzaGV4DAwNd6QeP0c8djUZ1+fJluxGNRsOU69lnnzVaSj6f1+rqqikpabnUVspisaggaE8Noz2XY9R7PT+sAYw0Xt17Tb4zBhX8lp8oGxkAisLN57t6hfAwBYaez+j1wh6Lgmfs5/JiaMGr+6cBPz7xuKU3ur5o6p9L9Ioz9t2EvuaAzgZBoFQq1dVkxHMZJg50hm6jP0yoA+LCIDHty0fMPur0ODWPUUfwDgOnz2Apjobnc3itL3759UG8MeU17FFeB5zn184/34+R5b1999+jApMzYXTxcgD1FHeotvJ3SQbK+zQX5fCdZJ5zC3zgvSPnmPmbOjMzoyeeeMJuIAdk+gqlJDPseOJIJGJHDUmdji+iXJ7DdwQGoN0Z7JYoF4AfhfKpn8ep/EQzb3T978zoJTKhMIeC+Q3A9/Gb0W86Huu3AZ++eBgJPccI+bqFN17cM3+/MRD+/cCBJb3PoRLQgOkzaWtyctKgO/SeOgknBeOsPUTAPkDQc8/G8E0c6CgRJBEmMBlNTOwPqRNE8Hl+PRACGR+po+8edvSv5z38+7AfMfwEJ71G38uZMbp+vFvvF8XrEr1RaMOgYnDBjnzFnsgOQ+7nEPRGz0EQmAKBg1G080pEIQosqNVqGYWMa/NsBBoKMIIokU/bgVekdoQyOjpq7w9ezHN95w/4NjcbB8F3h5MbhmEXvgarw/MdewslwDAoJ+/jBw315fQEA+sDC5/1SB2eO8/3lEIfgeHoPdzlZ5F4qIK96KGFXkND8Y739TOm+TwMJ6/ls8igPA7rOcl+b/rImmv2XXq9GaTn1BL8eLvhAwup0y7t94XUyRr8NfE67zR47qMCkzNhdMGO6OQiPcE4YCyosKMM3CRP66BpwBstX/XHq6MoHifCCNJQASbFTYIniKdFETy2DPSBgnHNpPkoMJ4aDMx7V0m2FmwKD3H4c9iI1L1xHB0dVa1W68KvUBDfI48CI6R6rAeMEp4Hg6RfSHs84jMZz7n1TAKyIv98fvdFUwwSDtsXyRCMKgVfHwx5qqLvWAQSYH8SlWPwvHPnu/gGDKkz35bHvMHFGEYiEZv7zL73IwC8M/BDe/x38viv1GlA8UyQXuzcF71xZmQDGHCu/2FyJoyuJOuogYJBZNuLLbHhewFvvDg3C3Abj0dajVf0z/MMAm48xqY3AgVy4Fp6wXneB4XDIPqqsqegoCSeWuM9MjeXqITXew6up+Lw3YArPLywv7/fNW0MZWQd/XX2fhbRle/u68vpCgbBswM8o+dRr+vNYDykgPjoWZLpFjrdy05A5zxEB7fe67ivS6CL/rPJ3NAz9o3U3eUpdTBtDKI38ARkUoeNwf71j/smht6I18MpPoJlz/j34fV8R2+MfabeK2fC6AZB97lcVNV9IclTOFh4/wX5ibf2YLo3zn5eLB7aRwge6xoeHjaowGOqRM6kUn7Uo/eSULdwKL4zR5I5Bni0PmrwBTgfYeL5MX40eXDNGFl/WkS9XrdBIqynT+V81ILx9Y/5rKMf6T4+Qbc8jstZeOg6uuYhN6I1jI03kkSH6L7HWL0hAXrwlCo/4wOd4CeYrNTBSj2+zPfh/chuuR7fJea5yHwv9h6Blu8a9UGPzwK8XcABAAOwN7xRxrCyv3u/D/uc36XuEZQPvY+/DGX454pPdXoPUOQLBUFgpxygHL24ph/cTX+2p6F5OpbUOQnBF7J8FCt1HznNT5QDr8gN9KkIzyXtl9TlMUlxvIEnXUHJwYq5Zr6bJFNg7xTAoXk/1s1zbXE2lUrFjCszF1BGfz0+qvW0vr6crnAvfReiD0IkmRH2GRLi4Sf+79/bQwUYnN6ikufm9o4R9TgrekN25o0+7+XhOi9cHwPEvaP3ho49hBGlDZp95Y2zF0+B9MVIdNsHdN6IezYDxUD2L0aY9cYpPkzOhNH1qQ43mxsTjbb5qrFYzP7GMcu+SwuqSqvVskYHj//4yJGCAJFnNBrtImp7fIsb2Ftd5aZTCOjl5VHVpEjgR0VSnMPgc+OlztFCQAGeyeAxZV+tRtl706HeTUlEw/cHNya7YDaE1HEQrFEYhta//yi8qi8fjbD5fTbG5obHjo7jtH1AwH7w97MXJvLZD2m7j2i90fRRox+whFHDSKK/vijro13e1zsDvqPv/OJafQrvh0CxV6A6+gCJ/csaENjwvhhShNd6mlhvwIZT4Tq9Q/IFvQdJ8Cgs6LQkCIKqpJuP+zrOkGQk7Tzui/gAuRCG4dTjvoiPi/T3yPvkV3aPnIlIV9LNMAw/9bgv4qxIEASv99ejLz3S3yNOfpX3yKMHP/alL33pS19+qdI3un3pS1/6copyVozutx/3BZwx6a9HX3qlrxPd8iu7HmeikNaXvvSlLx8XOSuRbl/60pe+fCykb3T70pe+9OUU5bEb3SAI/iAIgptBENwKguBbj/t6TkOCIJgPguAfgiB4JwiCt4Mg+N9OHk8HQfCDIAjeO/k5cfJ4EATB/3WyRteCIPjk4/0GfTlN+bjtkV/3/fFYjW4QBFFJ/4+kr0h6WtK/CILg6cd5TackDUn/JgzDpyV9VtKfnnzvtaClRAAAAeNJREFUb0n6YRiGS5J+ePJ/qb0+Syf/vinpL07/kvvyOORjukd+rffH4450X5R0KwzDO2EYHkn6rqSvPeZr+sglDMONMAzfOPm9Kum6pDm1v/tfnjztLyX9Tye/f03SX4VteUVSKgiCmVO+7L48HvnY7ZFf9/3xuI3unKT77v+rJ499bCQIgouSnpf0qqTpMAw3Tv60KWn65PeP/Tp9jOVjfe9/HffH4za6H2sJgiAu6XuS/nUYhhX/t7DN5evz+frysZVf1/3xuI3umqR59/9zJ4/92ksQBINqK9R3wjD8LycPb5EWnfzcPnn8Y7tOffl43vtf5/3xuI3ua5KWgiBYCIJgSNL/LOlvH/M1feQStOfU/QdJ18Mw/PfuT38r6Rsnv39D0vfd4//ypEr7WUlll2b15ddbPnZ75Nd9fzz2jrQgCL4q6f+UFJX0H8Mw/D8e6wWdggRB8AVJ/yjpLUkM3vx3auNWfyPpvKR7kr4ehmHxRAn/b0l/IKku6U/CMHz91C+8L49FPm575Nd9fzx2o9uXvvSlLx8nedzwQl/60pe+fKykb3T70pe+9OUUpW90+9KXvvTlFKVvdPvSl7705RSlb3T70pe+9OUUpW90+9KXvvTlFKVvdPvSl7705RTl/weKHqcA5kHIPwAAAABJRU5ErkJggg==\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    }
  ]
}