{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 0,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "collapsed": true,
    "id": "_Ip8kp4TfBLZ"
   },
   "outputs": [],
   "source": [
    "# Copyright (c) Facebook, Inc. and its affiliates. All rights reserved."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "kuXHJv44fBLe"
   },
   "source": [
    "# Render a textured mesh\n",
    "\n",
    "This tutorial shows how to:\n",
    "- load a mesh and textures from an `.obj` file. \n",
    "- set up a renderer \n",
    "- render the mesh \n",
    "- vary the rendering settings such as lighting and camera position\n",
    "- use the batching features of the pytorch3d API to render the mesh from different viewpoints"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "Bnj3THhzfBLf"
   },
   "source": [
    "## 0. Install and Import modules"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "okLalbR_g7NS"
   },
   "source": [
    "If `torch`, `torchvision` and `pytorch3d` are not installed, run the following cell:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 717
    },
    "colab_type": "code",
    "collapsed": true,
    "id": "musUWTglgxSB",
    "outputId": "16d1a1b2-3f7f-43ed-ca28-a4d236cc0572"
   },
   "outputs": [],
   "source": [
    "!pip install torch torchvision\n",
    "!pip install 'git+https://github.com/facebookresearch/pytorch3d.git'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 0,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "collapsed": true,
    "id": "nX99zdoffBLg"
   },
   "outputs": [],
   "source": [
    "import os\n",
    "import torch\n",
    "import matplotlib.pyplot as plt\n",
    "from skimage.io import imread\n",
    "\n",
    "# Util function for loading meshes\n",
    "from pytorch3d.io import load_objs_as_meshes\n",
    "\n",
    "# Data structures and functions for rendering\n",
    "from pytorch3d.structures import Meshes, Textures\n",
    "from pytorch3d.renderer import (\n",
    "    look_at_view_transform,\n",
    "    OpenGLPerspectiveCameras, \n",
    "    PointLights, \n",
    "    DirectionalLights, \n",
    "    Materials, \n",
    "    RasterizationSettings, \n",
    "    MeshRenderer, \n",
    "    MeshRasterizer,  \n",
    "    TexturedPhongShader\n",
    ")\n",
    "\n",
    "# add path for demo utils functions \n",
    "import sys\n",
    "import os\n",
    "sys.path.append(os.path.abspath(''))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "Lxmehq6Zhrzv"
   },
   "source": [
    "If using **Google Colab**, fetch the utils file for plotting image grids:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 204
    },
    "colab_type": "code",
    "collapsed": true,
    "id": "HZozr3Pmho-5",
    "outputId": "be5eb60d-5f65-4db1-cca0-44ee68c8f5fd"
   },
   "outputs": [],
   "source": [
    "!wget https://raw.githubusercontent.com/facebookresearch/pytorch3d/master/docs/tutorials/utils/plot_image_grid.py\n",
    "from plot_image_grid import image_grid"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "g4B62MzYiJUM"
   },
   "source": [
    "OR if running **locally** uncomment and run the following cell:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 0,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "collapsed": true,
    "id": "paJ4Im8ahl7O"
   },
   "outputs": [],
   "source": [
    "# from utils import image_grid"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "collapsed": true,
    "id": "5jGq772XfBLk"
   },
   "source": [
    "### 1. Load a mesh and texture file\n",
    "\n",
    "Load an `.obj` file and it's associated `.mtl` file and create a **Textures** and **Meshes** object. \n",
    "\n",
    "**Meshes** is a unique datastructure provided in PyTorch3d for working with batches of meshes of different sizes. \n",
    "\n",
    "**Textures** is an auxillary datastructure for storing texture information about meshes. \n",
    "\n",
    "**Meshes** has several class methods which are used throughout the rendering pipeline."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "a8eU4zo5jd_H"
   },
   "source": [
    "If running this notebook f, the mesh data is already in the  using **Google Colab**, run the following cell to fetch the mesh obj and texture files and save it at the path `data/cow_mesh`:\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 578
    },
    "colab_type": "code",
    "collapsed": true,
    "id": "tTm0cVuOjb1W",
    "outputId": "6cd7e2ec-65e1-4dcc-99e8-c347bc504f0a"
   },
   "outputs": [],
   "source": [
    "!mkdir -p data/cow_mesh\n",
    "!wget -P data/cow_mesh https://dl.fbaipublicfiles.com/pytorch3d/data/cow_mesh/cow.obj\n",
    "!wget -P data/cow_mesh https://dl.fbaipublicfiles.com/pytorch3d/data/cow_mesh/cow.mtl\n",
    "!wget -P data/cow_mesh https://dl.fbaipublicfiles.com/pytorch3d/data/cow_mesh/cow_texture.png"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 0,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "collapsed": true,
    "id": "gi5Kd0GafBLl"
   },
   "outputs": [],
   "source": [
    "# Setup\n",
    "device = torch.device(\"cuda:0\")\n",
    "torch.cuda.set_device(device)\n",
    "\n",
    "# Set paths\n",
    "DATA_DIR = \"./data\"\n",
    "obj_filename = os.path.join(DATA_DIR, \"cow_mesh/cow.obj\")\n",
    "\n",
    "# Load obj file\n",
    "mesh = load_objs_as_meshes([obj_filename], device=device)\n",
    "texture_image=mesh.textures.maps_padded()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "5APAQs6-fBLp"
   },
   "source": [
    "#### Let's visualize the texture map"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 428
    },
    "colab_type": "code",
    "id": "YipUhrIHfBLq",
    "outputId": "48987b1d-5cc1-4c2a-cb3c-713d64f6a38d"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-0.5, 1023.5, 1023.5, -0.5)"
      ]
     },
     "execution_count": 18,
     "metadata": {
      "tags": []
     },
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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1ufjTE0/j9YZ/C+Zl737A1p2lEhZCnEBiQgK//umPOG3ebGzWE3fUZGdlcNE5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\n",
      "text/plain": [
       "<Figure size 504x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(7,7))\n",
    "plt.imshow(texture_image.squeeze().cpu().numpy())\n",
    "plt.grid(\"off\")\n",
    "plt.axis('off')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "GcnG6XJ6fBLu"
   },
   "source": [
    "## 2. Create a renderer\n",
    "\n",
    "A renderer in PyTorch3d is composed of a **rasterizer** and a **shader** which each have a number of subcomponents such as a **camera** (orthgraphic/perspective). Here we initialize some of these components and use default values for the rest.\n",
    "\n",
    "In this example we will first create a **renderer** which uses a **perspective camera**, a **point light** and applies **phong shading**. Then we learn how to vary different components using the modular API.  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 0,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "collapsed": true,
    "id": "dX466mWnfBLv"
   },
   "outputs": [],
   "source": [
    "# Initialize an OpenGL perspective camera.\n",
    "R, T = look_at_view_transform(2.7, 10, 20)\n",
    "cameras = OpenGLPerspectiveCameras(device=device, R=R, T=T)\n",
    "\n",
    "# Define the settings for rasterization and shading. Here we set the output image to be of size\n",
    "# 512x512. As we are rendering images for visualization purposes only we will set faces_per_pixel=1\n",
    "# and blur_radius=0.0. Refer to rasterize_meshes.py for explanations of these parameters. \n",
    "raster_settings = RasterizationSettings(\n",
    "    image_size=512, \n",
    "    blur_radius=0.0, \n",
    "    faces_per_pixel=1, \n",
    "    bin_size=0\n",
    ")\n",
    "\n",
    "# Place a point light in front of the object\n",
    "lights = PointLights(device=device, location=[[1.0, 1.0, -2.0]])\n",
    "\n",
    "# Create a phong renderer by composing a rasterizer and a shader. The textured phong shader will \n",
    "# interpolate the texture uv coordinates for each vertex, sample from a texture image and \n",
    "# apply the Phong lighting model\n",
    "renderer = MeshRenderer(\n",
    "    rasterizer=MeshRasterizer(\n",
    "        cameras=cameras, \n",
    "        raster_settings=raster_settings\n",
    "    ),\n",
    "    shader=TexturedPhongShader(\n",
    "        device=device, \n",
    "        cameras=cameras,\n",
    "        lights=lights\n",
    "    )\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "KyOY5qXvfBLz"
   },
   "source": [
    "## 3. Render the mesh"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "8VkRA4qJfBL0"
   },
   "source": [
    "The light is in front of the object so it is bright and the image has specular highlights."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 592
    },
    "colab_type": "code",
    "id": "gBLZH8iUfBL1",
    "outputId": "cc3cd3f0-189e-4497-ce47-e64b4da542e8"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-0.5, 511.5, 511.5, -0.5)"
      ]
     },
     "execution_count": 20,
     "metadata": {
      "tags": []
     },
     "output_type": "execute_result"
    },
    {
     "data": {
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ooUM4evQolpaXsbq6hvX+OoaDIYaDIfI8R+H+vyhXsdYJm8AyUlZiw6dohwG3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\n6tpO4See43NV4kBzsXrIuXWikuiJRx8p5rYYHztUNjxZ1zX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05qgU3KDEaYH9u9Q9EyP2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\npWO4Yk0852kAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "images = renderer(mesh)\n",
    "plt.figure(figsize=(10, 10))\n",
    "plt.imshow(images[0, ..., :3].cpu().numpy())\n",
    "plt.grid(\"off\")\n",
    "plt.axis(\"off\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "k161XF3sfBL5"
   },
   "source": [
    "## 4. Move the light behind the object and re-render\n",
    "\n",
    "We can pass arbirary keyword arguments to the `rasterizer`/`shader` via the call to the `renderer` so the renderer does not need to be reinitialized if any of the settings change/\n",
    "\n",
    "In this case, we can simply update the location of the lights and pass them into the call to the renderer. \n",
    "\n",
    "The image is now dark as there is only ambient lighting, and there are no specular highlights."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 0,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "collapsed": true,
    "id": "BdWkkeibfBL6"
   },
   "outputs": [],
   "source": [
    "lights.location = torch.tensor([0.0, 0.0, +1.0], device=device)[None]\n",
    "images = renderer(mesh, lights=lights)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 592
    },
    "colab_type": "code",
    "id": "UmV3j1YffBL9",
    "outputId": "2e8edca0-5bd8-4a2f-a160-83c4b0520123"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-0.5, 511.5, 511.5, -0.5)"
      ]
     },
     "execution_count": 22,
     "metadata": {
      "tags": []
     },
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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toddFGAQT74qbV1wFQVDk89xz6gTe+sA5/Ff/PSuCCNkrGB4ihBBCyExATwsh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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 10))\n",
    "plt.imshow(images[0, ..., :3].cpu().numpy())\n",
    "plt.grid(\"off\")\n",
    "plt.axis(\"off\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "t93aVotMfBMB"
   },
   "source": [
    "## 5. Rotate the object, modify the material properties or light properties\n",
    "\n",
    "We can also change many other settings in the rendering pipeline. Here we:\n",
    "\n",
    "- change the **viewing angle** of the camera\n",
    "- change the **position** of the point light\n",
    "- change the **material reflectance** properties of the mesh"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 0,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "collapsed": true,
    "id": "4mYXYziefBMB"
   },
   "outputs": [],
   "source": [
    "# Rotate the object by increasing the azimuth angle\n",
    "R, T = look_at_view_transform(dist=2.7, elev=10, azim=50)\n",
    "cameras = OpenGLPerspectiveCameras(device=device, R=R, T=T)\n",
    "\n",
    "# Move the light location to be in front of the object again\n",
    "lights.location = torch.tensor([[5.0, 5.0, -2.0]], device=device)\n",
    "\n",
    "# Change specular color to green and change material shininess \n",
    "materials = Materials(\n",
    "    device=device,\n",
    "    specular_color=[[0.0, 1.0, 0.0]],\n",
    "    shininess=10.0\n",
    ")\n",
    "\n",
    "# Re render the mesh, passing in keyword arguments for the modified components.\n",
    "images = renderer(mesh, lights=lights, materials=materials, cameras=cameras)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 592
    },
    "colab_type": "code",
    "id": "rHIxIfh5fBME",
    "outputId": "1ca2d337-2983-478f-b3c9-d64b84ba1a31"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-0.5, 511.5, 511.5, -0.5)"
      ]
     },
     "execution_count": 24,
     "metadata": {
      "tags": []
     },
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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3/vALFhMJMaJFW0CmEnBtom0ME6kP4R+bpJpKoPMx6Ryxj15wWwTOC1QdnIZ8\nkzbmllT93Q50o8o+BzkvRzl+b19xTz7eYT5r4XLDOqwJqNxLxtxMuiyEXHuw5Jlcs7RNA5vK+U9f\n/NK8bJvBPeLhDyuCZfxMnXhG33Xn3Vj1K5w/fx5NE9TErbfeOumyfO6ffzx0OeoTctBz2wz4l50W\nF00a1Zi7Eib1ahJww2t4AH2chonJr08S+6a4WL3TuOC0dG2LYzs76NrGXN6FuRdJTFQDL45cm/GU\nOtnu7S9x5tx5nDu/h74P3XrDNExMVrAoBQsh1yh0Wsg1ySt/9J9hsVgE92IWet8/7nGPAwD8l//y\nX6p9X/C8f2BejQI36SGdVwt+9dd/My6G8uY//dM/xe/+7u9OXscTn/B4yKqvhMp6J9yJEl8xk0dw\nURqEQRNhqoViEm52W2IoKOxkZmO3BSihJQ1XIE4gzkFcyG9p2xa7Owsc293BPWdKldV9Ya2d/wHi\nRySEgHoolssl9vb3MOsazLquOkd9UH4nHKwKCSHbDEULuSZp2ib0/IDglh99CQDgHz4vDI546623\nVvt283leHuealHlc6jr8H/8phJbOnDmDl7zkJfjgBz+48Toe/4THlzMZkWKXJYoTGQkkFeTcFlWF\nqOS0mBLqMW5LDJuUjrilG26eW9GSuuYa4eJEoE6gPoSIZl2HB998Ez7yiTtzFdBRQkSHcVheTJgL\nlqsee/srLGY9WtdA3AGCJI5mSZeFkGsXihZyzfETP/JPsbOzABAe+h/+6McAhJbzr3vd66p9u1hW\nK0d8EH/8ox/Ny8MwHChYbr7pRnzawx4GLPejaTJOuy1uS92TJO4gGmuDo3ugxkVwgA5a92Yxboqa\nhnOZJFJSWbQNE6W3jTkk4hRN26BtW5w+eRw3nT6Fj995V060vRTC5TA0NrhTayNlRYc1Q+WWl7Ef\nCyHXOhQt5JqjiR1WRQTv+9CH8/pbb70Vt99+e7Xvt3zTU00+y6aQUNn/jts/cOTr+Otf/IWQiXFv\ncvlufpvyviJSp9FIfD5HzZLFVQobWbfFCpa8HOdI27VyWtam+F5OBI0LomXWzfDpD3swzp3fw9nz\nIaF4OErPmUtEalAXblxUK9ZxAnDLy+iuEHI9QNFCrjna2E0VELzyJ38mrx8LFgB4yuf/pby8KSQk\nECBWCL39HdO5K1P81ad8Qeiwa/NTzDvk/yU5HPGl2V8RG7flfJV4CkXttkwKFjWCJD7dvVnOsSFk\nVVNV/TjJbfdvPH0Kj3zYQ/Ant38QSyzzZ7w/xYtICFd1bYuurZOqExQrhFxfULSQa4qXj0JDwwFt\n+W84fRqzrj1S2qaPD/PbP2VWmkMAACAASURBVLA5HGRZLOa4OfZwqcRPxJo6JTSUhItMCB3U+Sim\nC24SJWvhodGyzV/J56vKh816hOtqmiY05xPgYQ+6Gef39vDBGG5L3F/CRQTo2gbz2Sw6Lenigoij\nYCHk+oOihVxTNE0YqE9E8N73vf/Afb/tmU9HCTdsCA1FUlhmb3//SNfxFX/9y2KPE107XZ3HYkND\ncZ7GHDKoKsSLqfyJIsMhrkuhkw2YqJIeYV0KJ4UxgjokBfWZj/g0nF8u8Yk7765Of38IFxGJbf3n\nuUdLupMULIRcn1C0kGuK0DclPGB/+tX//MB9n/iEx+XusIm10FBc8X+/690XdB1f+mVfAomN3nLj\nlfVM2xIaim+WQ0NJuJjcDVUNDkt8Xe1jHRRML4fdjN9jrsclPRRFkAOgDvDeoevaUA4dP8JjHvWI\nPK7PXfd8Klc9XUrhIjEsdOLYbviaSrkRHACRkOsXihZyzfCyW34Ix3aPhYfrQaWxAD7/yU8ChjKQ\n3wFdQwAAd7z/jiNfx5971KfjoQ9+MLBcGifFvkcUAGPBEudwcWrMSceixAobN9ov75AycKddmKpX\nikShAsBn9yak8njv0DaAExcm5/C5j/0sAMC7//h9+LhxXS6VcGmcw8ljx7C7WBi9oqwQIuQ6hx1x\nCSGEELIV0Gkh1wxd1+VxbvYPyT156lP/VnlxQIkzAKBt8O4/+qMjX8fXfeXfBPpVdZ6qXihXC03k\nswggLkxopDSW86NrdOuTeMljDq15K3HFuudihg0wp7ZuizgAPuTadF0X2/2Hv3ee9NhH449v/zPc\n8eEP5880NZzBhSAiWMxneNgDb8oXxoZxhBCAooVcQzRNk/XHy3/mtRv367oOD7rxhlLuGxlX+aRz\n+cHnBnWHcfLkCXzBF3w+JJU65/OZ+FBOXDGlzhjls6SW/ckLHTdTG4eH3Gh7OgZTAibuqBq2jRvb\noRYuQbM4OHh4Cfd5HsNvzjk89jMegZtOn8Af/q/34+y583DOoe/7ONryhSEAZl2HRz3sIfk6KVgI\nIQmKFnJN8GP/5Adx6tTJ/Nf+B01TuTHPf95zYv+Uo+WzuK7FcrncuJflS//KU4xxUyffWlE0XeqM\nks9ihIjYEuhE2t4gJOem1xtTSg6pLsIoxyW9XVVUJTHHBXBxQ9e2cE7w4AfchJPHj+H2P/sIPvCR\nj+H83h5Wq9UF5bg0zmF3Z4GHP+gBaNuGYoUQsgZFC7kmmM9n2dGQOLDeJj7rMx4FDEMdFjkgb/ee\nu+/B+fN7h17DrOvwdV/zlcDg186XEm/L8rhiSHK5szFiasEyvsZxpZELCcjqD0nAjfN6lxQ/Kq6L\nGHcnVBdZByouO6BBA5mF9v+f9ekPx0MeeBM+8vE78dFP3ol7z5zBcrmE11C3NMRRnu2wBeIcducz\n3HDqJE4d30XbthQshJBJKFrINcGsm2Vh8B9+7z9u3O8f/f3vBobBlNDW8/GghQBw/NixI13DX/6L\nT8bJkycgQwmLZLfF5LCM2/anWmIxGsNWHWVhYi8rCwctmiPtZw5VrC8XwtoQIoLJeanDY2nXOmzm\n4mqft3Vdi8Y5NE2DncUCD33gzdhf7uPsufM4v7eHftVDnKCJOTGbRnqmYCGEbIKihWw9L3rB83Hj\nDTcghFkEb37r2yb3W8znePzjHwd4PyoznjIxioj50/ffnh+wmwYK3Fks8KxnPj27LDY0lEJWdeJt\nmmxey/Q1QGJ+iwJlmOd6L7WSJAmYtUs9PESU9xxfkAOcOnivcM6b7rkuDDWgpWtwJ0G8zLoOi9UM\nO4sFlssVlssl9pdLrFYr+OwG4UCXixBCLCx5JlvPfF5cFmDzCMT/6DnfA/Gj3ixSC5R6Hrb7GNI4\naGTjpz/163DDyRMpQJXPawVL/leJGBMzciaGZDVIaepSh4rs4ebJv7ZszSOx2zb8PwpjuTiFgQsl\nVw85l/q2iFmup67rsLNY4PixXZw4cRwnTxzHyRMncPz4LnYWc+ws5ljMZ5h1Hbq2xbHdXbzp5+uR\nuAkhJEGnhWw9i/k8i4ChWdfhD3zAzQBCLksOBq2FalDP0wsFhkNKeB/58E/Dl/+Nv1blgJRk2/Lg\nt2KouCxGi0RHRZzUYsQKlAMKcjb5KALJTowN/0CCQ6IioZJIAFV7lnhkdKScBEGoXuHjhTgHqLoo\n6MwAjW7UlFc1Ju06zGY+C0EgiMI0hbAR8OY3vA7f/O3fc+B9J4Rcf1C0kK3mRS94Pm688YYsWv7T\nf/zPa/u88PnfW70eOyqV2zLhuvTex+EB1ju+7iwW+MfPfQ46V9yVIjKkhIJy0koJF+VEluyyoEqo\ntT5oNmDSuknxUhJTRAQqdiChIkaSLqvzXer/pQ441fcuhooAGBETwkbwLl93OV6h6vK98CLwzuWS\n6HA/HNoWuf+LCE1gQsg6/M1Atprd3Z0SuhDBu/7wvdX2L/uiv4pTx47h1LFjUUccIFhMWCTPBbjx\nhhvQNg3apqnO3TQNvvc534OHPOCmHPpJgsGGgtL1WeelclnS5KSIlSYKlzTsThQ2JdRURYcym9JD\nZHLjxN5jx8lWOZlNVdjL2bCRjCaHxjVo23D/mqZB07b5foapxWzWYT6fYz6fAxpcnbf8ws9t+DSE\nkOsVOi1kq5mb0JA4h/1l6YS7mM/x7Gc8LY/QjAMES/1UN3MFbrzpBjz0oQ8BAPzp+28HEPqTfNuz\nnoEnPfHPh2ohKeebymWpqoesy5LdFpRzGOESnBezPf2ZUeWm2Aqi4raMyf5JiQ5NhoYOc1tq10aq\n9xJxEBf7uIjAicKLQNTBiYd3Au/jutigroXkaiLnXPwswr+oCCFrULSQreUlP/xCnDxxPLsZWQSk\n7S/64SBYqsRb+7CfclvWXZdFN8NTv+YrAQD/5jd+C4P3ePo3fj3+4pP/AtD3G8RK0iJJsJhzw+gU\n477YpnISW/jnrrgTeqp8EIGIERj5YxnZkXVGERzjV1ayVKRVIhBVqATBA6Asx8/WOIliKAw9oBIS\nn0V9yI3RcK0igjaOCOmcg/265Ld1gje/4V/gm7/9765tI4Rcn1C0kK1ld2dROxoi+HOf8Sh87OMf\nx3c8+1m44fixKqxRhTgOCg/F/9O8axye+KTPBQA8/rMfg+PHj0FcA/SrUVioFiFTU3kjuzOCQEku\nS3JYGhSXJV2XTVOxWKfGOiob9Ee9brS/JBcmziddl3QnoyiMDeMAhZOSmKsKIAoYLx7iBSIx4XZ8\nKosqxIxxRAghACAHlXHiqE0dCLkCvPonfgxN06JpHBrnIM7h7ns+haX3ePDNN0HSg9Q4D4ARLBuW\nqyqfcWincYBXs22DQEn5LK6UBKdzuBgayVMjQCuQDpC5QOYCLMIyZgBalD4tqZBpBegyvl7FqVfo\nCsAA6KChpb9HHkQxC57cY8WkyiqQqn80z8MGNTttXmd6xcTlVCauqvBeoepDaEhT5ZBxwCYQEXjv\nsVyt8Mzv/Hsb9iKEXKNM/mqg00K2kle86Iexs7MTBEEODQE33HhDECv5L38TBsJRBAvMXGqnBoiN\n6bKlUcJC439rIsa6OyaUlWa2YsiGhWzkxAiPChsVM67Mpk7++XRm21rQyJRDi45clrgunMOGjIpj\nI1oEXWlIF5SXKEJzufEFTX2sKPwIIQRg9RDZUubzOdxUNU3sdrtWJXSE5frvfsmRm5KTYtwVYFqc\nrIWI4vmr90sP5LiPKXcu4SEpgiUJKDtN5dpWCb3rDtPEAes3Nh9m/k/CrRJwRilNhNrs8ubmc7HC\nSNzklBwu5wT/+udes36thJDrDooWQgghhGwFDA+RraRKbp2aYMMx68eOl5OTkGZ57ch5yA7CpLNS\nX1d2WVBCHeUk1hWZCA2lZFwx7z1GEUI4o0jLYV1xN+9b1ghKOXS11YSDgPj+9vxrYaKyPTSlQw4T\n5Xw6qT+hIo7xFNNekkNDCCH8TUC2jp9+yYtyaCg3biuZJqP8EaBsPZpgSaJiLFyq1yYMs14hFINH\nNpfFhrBGAmddrEh5bcI8NRuEjA0L2V3GyxsOn3qb6v7EZRktbwoNjUNH4Ws2akInAhGH0AW3vrB0\n/yhaCCEARQvZQhrXjATLussBIIuZRFUVZEVK9XytXRJbCbS23jo9RjLV+S/2AV/eKy87FOHSSBYu\nUj+7D2S8q9j/xK6fOOkR38gKl6lzTAuXtHnsUqHKXQmCZcN7xrd1Ivilf/4zR7pWQsi1C8NDZOvI\niZxNM5kIC6QHns9VLABK8qpqeXwnYSOKNN5NlB5FcIySWisxg82ipjykpbwPipjK560qh6yts8ll\nwebSoE3VRYc1L9i4z2hDDg/Fz5Iri2KASGDCQ6XyyIaPUtineoeN1xffhz1bCCGgaCFbxqt/4sfQ\nti0a5+oxfaAQ7xGEisY5APVZLORZbHyW3QPnINKEuWsgzgGuicIiCZk0kN+UULG5LePtJSQ06bKM\nc1nG+40ZP9xVgghTuykqA1nXIoe9xgVsC29vclzUCpekq+z2DSc7wns7CaEkQsj1DUUL2Sqca4rL\nAoX4ATKswtz3gA5BqPgkXEZt/O1Ix8kBkShSRCBNA7gW0sTJtUDThg64QBA14iaScE0oahQeSi5L\nFbZyJZ8llzlHwTIOxdhHdfXcXxMwZTE/9EfJtGuvMXXMxLk3r4Z1WeqxBGyTuvoa7SUc7LKYZF1x\neP1PvwLf9bzv23QAIeQah6KFbA2veflLwkjBUMjyHNAvAb8ChlUUKwpRn/eXJFAmBUAMJeXwkMlR\ncQ4ShQvaDtLOgngBgpBpW0gzgzQNBKXTLarQkHVZjLpJF2GdFjuS88hpkZFiyQ5H3e0Nl6559X04\n1+QhOjnXtfVTx0yc3wOpZwsh5PqFooVsBa95+Y+jcQLXn4NbnYf0S4gOwW2JoZ6SuGmcFeMsiPkv\nCxrNBbmli6tKcG0GB+mb6LokpyU6MN0c0s6AdgY0XdgurgobFZdlpFmkuCy5gVzVTO6AXJYDyLkh\nB+mC+4Nxx9yJSzjQITrsQuNQAKwiIoRQtJCtwPke7vwZNP35KFbSwz+FZpAFQlxEEiMZKWuKg5Ec\nEcnbUxhJYphJdIAMMafFSRwscQ9o50G8dPOw3HYhlKTr5c5rToutGorJt1m8mN3ywujpXwkUBdaT\nRkp45qI5qvlixiHCAXMtux9+SoRBF1NPF6FoIeS6hqKFXNW89kdfCABo9u5Bo4Np3Y9KsNT9V4As\nT4xqKcIkvpLR+lHpbh3NiWEnFWCIQsb3wLAE+n1ItzACZgaRDiJNcVlgNIuL507CRRDHGirhobpl\nyURWy2HRlQsSKxceEsp7j4VKtbUOCR0UGhoLmNRgbjy5C6kFJ4Rcc1C0kKsad+bjABBCQ87V7spI\nsIhRKVZ8ZKYEi02ONeeo5qPzChCesn4IAzP6HvAryLAPGeaQbgHoIoSOZAagWa8ecpIHRayayK1V\nEZnrHz3Yp6RGWWczXTfc3CNziKiJqiWJlwNDQgfHicrqCcGSQkSEkOsXihZy1fK67/9ONDEckHqz\n1GXF64LFPudrZyWusRpmFFayQmUcLqqelWI0BTzgFdJHEeP7UM00LCGzBcQvIPMFIC1s2TSsUEnT\n2gCJkcpBietTuERtHouU9vfpuCkLw3wO2zrFrBrvUg7NzoqVRjanZRwDmnw5ERqKYSCMhUpwXDxF\nCyEEFC3kKia1eU/LlWAZhXNqwWJyWzac2zow66LGCJaRgLBCJ50n6IwQMkIfy7B9FC7DMgiZxQJw\ns3iWFoKm5LGk0ucqlmQmm1xrWct+PcBduYBinUOxqTLVsg0AbQoJTYeGFGPBMiVgzHhFhJDrEooW\nclXyL37gu9A2rjgtVThoSjxgMhxkF6bcknz8VFn02HnJ60fuS3qNIF6gAzAooD4s+xWAJUR2w+7N\nPCTsoguxIFGTsJtPGbBORSVeDg7Z3KcConxKQdWtzrgra6Enc4FWvExexCg0VHabFidp8qNlQsj1\nC0ULuer4Fz8QwkLWabH5K0cVLEdxWer19n8jkMrqUarJKCHYCitNVUcKwQCgB6QPJ9E5oDNA5kAz\ng7RxSGcJdstaBERNGMisO3DawHpx8sFMRHHWw0M2E7eKTo0TceN6RXZSwuuDRUslYHzpw0MIuf6g\naCFXHXlsodj3BEAlWMIKIz0OFCwTIsC4LFX0xwqUSqnYUupxWKgs1dcZD1AfRMegkP0kWvYgOgMw\nh8gccLHiSDuU1riGKETWhMtBTAmYDfbL5CmNOJlyWXS0c0nCHbks4/1ijkpyV8KpjTDx6+5Kmgbv\nMQzDUT49IeQahU0PCCGEELIV0GkhVxU/94PfhTaFhoxjYV0WGTkkB7ksY6ZCQ+O03To0VIeiqsWq\nXwxyz5V0cMm9UYQqoxDakN4DrgdkCeA8IAuILILj4uZA0wFwsVJIbKYqUrsYeBwQHjqKlTKxg45e\n5/W65rqUQ6crh0roJ+227rJMOi0HhIU8nRZCrnsoWshVw8/9wHehaUJoqJFS3gygSpg9SLCMXxwa\nGkqrrW4ZJ7HYUx+Wy2IDRqarXNWnJSbrivdA3wP7K8AtgWYBuBXgdmK+S1MuMAmWKjHEbDsCk/ks\na/pGTWho+tSjFJZ8PeNclrTjJsGyJlo2hIa89zk0NAzMaSHkeoaihVw1pMRbW95cJcAeQbBUybQj\nwTJV5jyuGqpclqluu7AOiuSz2lwWW7qcOt/CipaQqYtkjYgq0Htgv48OTA+gB2ahvwvUAV7WxxWK\nBUrptRUTk47LQYyFSrFINrgsun7s2uqRYDlMtGxwWAbv4YcoWjydFkKuZyhayFXB61/w3aFiSFxo\n1W4SXoGsAaYFC9I68//65splMbuW48Yui9l3TbhgLFCKq5LEShAsxWXJ58iDJMa3kmihDB5YDlG0\nDIAfgHYHcB3gY7gojSYwDg/VZTvrHJKEOyVMDqocqvN7p8JC6w3ipkqb875rLouH91oEiw8uC8ND\nhFzfULSQK87rf/C70TRiSpzXHY5xforaNVMCpTpSRq9H67NeWc9lSa/zsVmA2NDQ6HgrgNIUR3EG\nkEd3Tk3livOC0NNlFWNBQw+0PdDsAOgA3wbxAhQBkxyV2vgo86wnNoWGNJ9jTbAcpXJIjyhYDhMt\nU4JlGOCHAT4JFj/geS/44fXPQQi5bqBoIVeUVzznW3H6xDETbkFtdIwPyGpFoemI9NwUxKTXEEpJ\nYiM9TNP5K8Gzho1HlXXrCcG2oZzJWTGiJueypPGEot7Iy7ZtfxYuAvgeWHlgGIBVD7gl1O0AmAO+\nCycZ2iJc/Mh5OSIlf6WEgvLtXAsLjcNG1WyDYDmiaPF2nXFYUvJtzmehy0LI9Q5FC7minDq+Gwc3\njtVCB+xr9IoRLsYxUStcANX1Hi1WsBjZs2EPMRqmhKuy+2Krhaw7VAmXuM6IFqQRnRsY1wVGuCBU\nGvl9AD2goaMuZAeKRbzMGYL70kBVTKhIzfKG+zh2R+J8Lal2ojJI7XH1pg15KaP1Vrj4InR8qhCK\nosUPQxArvuSyMAmXEELRQq4Yr/2+b8esa4t7sW60GKKDEl9JXhhJlyxcwotKuCQ9ogoVycbGgWgR\nH4AJC2E9pDR2WZDyVuxozkAQK018nYRL5eykDwJgGKA+ui5JvAAAdgA3h8o8nESbtVyTciojUtTK\nEK2EC/Jr1OdaCx3VgmXKQTlUtPjitGTBkkTL4IvTMviYy+IxDP0hXyxCyLUORQu5YnRtW+WFTKFm\nQYxSOdB1qYSLPdeUszJ+N7PdxpjGTCbfltclLGRcllTBnFwW67RUbgtq52RQoF9B+yHkuQCArKBu\nATQDIHNAOqg29XH2Hpq0F1sApJPzA1yXKmEGG8M+G0WLrQxKosWEguyUHRYfclt+4JYfO+BrRwi5\nHqBoIVeE133/d6BtGng/QKBw7vBvRdUUiTnYdTlIuOT1ddJL6OMGs/8oSjSF1RgplCRpgxUho5yW\nLFYa1OJl4n00iRDvg3hZhRCJ+lhl5EKirjbBeQmuy3quSTqZGuUxnbtixclUXkt0SC5StCR3BVgX\nLSkkFIRLcFt65rMQQkDRQq4Ar/yH34qTuzs4e/Ys9s6fw+nTN6Bty7dijuJgyi3BpOsCFPGiYh2V\nECICgkZJoiY/jFWjUeIgIqPzHxY7ypdQwkPWNRkLk/QR47I2gFgBM/Vho2uiHoAveSDoU/ZtFC9t\nD3QD0CygUQVlcZHCQkmIGMtlk2CxybljwaLGyRmLlnFjOIxEizfJtlOiZUhCJc6T00LRQggBKFrI\nFeD4zgJ333037rj9duzu7mB3dxeLRUwwtS7IKEfDlkCnB+8m8aKikEmrBRiGAf1qhVXfQ71H0zjM\nuhlm8xnapgHEhJ8O0C1W1pT9ZVKwZIECAK0CjeT1VRVROplal8XMk2jxCH1cvEJ1AFYD0A/QzofO\nutIC4mqBYeNA6f8LFizFPQm7XJjT4r3fKFpSTxbvhyqnpe8H/JMXv3TzF4IQct1A0UIuKz/9vP8N\noor3vOc9OHf2DG644Ubs7+9D1aPET6SEeaxoMHkaiBVHZZVmkaGQKFxQuTKqwHK5xL333ouzZ85g\nf38fgGI+m+PEiRM4deoUmp3FBbgsmt41SCaRoJhsHksSL9FZAaJ4aTS6KxKvOZ9yNEVnwwoXlGX1\nPgiZ3kMHH8RL10PbHWgzy2ooux6j5JZJ4VKtGwuWCdFyJOFShIrf5LRkZ8W4Ln7I+xFCCEULuay0\nTYP/9w/+J+66806ICM7vnUc/DGu5Ftnl0PEZxKyvNwaREoM/Jr6UhM1yfx+f/OQn8clPfBJnz3wK\nq1UPEWCxWKDveywWC8wX803pJfW1TVxWtZwdFoU0UiXiaspxSSXOOfnWlC57zT1YSi8Wk0sydl90\nAIY9QAboqod2PdDtQNsZ4FpkJ8o4KYcLlig4jiJaxpMNGfk6JBSEy0i0DEWgeOO49MOAH6LLQgiJ\nULSQy8bLn/Ms3HvP3fjIRz4Sn9MawzNtdgBKxslYsaRMWZ0WMoi726zceJ5+tQIAfPKTn8QHP/BB\n3H33XVitllCvQTidPw8Rh1OnT+H4ieP1QIVHokgZleDsqEhd0pzmQDWAc1WOnfJObMO4NKlZh/I6\nHaMxXKTqQ5VRP0CHFTDbhbaLMBSAydlJJ9kUGlrLR5kQLmm/g6YkTg4TLUmwVE3lBl9yeAghBBQt\n5DLSNA7vfve7yl/pELimxXw+z3/RV9EgoEqoXXde7BN/GlXFPffcDQC444478MlPfAJ9v4JqcXN0\n3+Ps2TM4f+4chn6Atm0QHQd+mtpzKZ/IHBVzW7QJISNxZr3RWSVcgyBEhtFkXRa7bxYWZZ9wb1fQ\nIYxdpMMAzAZotwM0XchzyfcGGwXLVE4KcHTRMk64TSEhzaKkiJY1wWL7tChFCyGk4A7fhRBCCCHk\nykOnhVw2zp87j/39fTiU5NPd3V3MZjN41co3WWsQW7ksMRQz4bCUtNjgepzfO4cPfejDAIA7P3kn\nlqtVSXIRQFTgvWK5WmG5XGLwvrgLAKAxWGV7zk18NltppNUVpA+jpRfM1MmSixKdleSy6KBlXZqA\nKiykMUyUnZPocsBr6ajrFTpbAM0MxfLBIS7LRAUQUimzlsuo3JXisGwKCdkJGPVpqVwWjyc+7nPw\nb9/4i+ZOlzybr3/W35n4ShBCrmUoWshl4WV//1vw3//7fwsPyPjMduJw4003Q5wL4Q8ZBV3MvkGz\n2CEPN5POMfgBd915Fz72sY8BAPb29/JGQXzuSngI9n2P5aoPTc1SbgkELooXo3NQL4WLDA/ykPWb\ns3Jy5U8darL9U0LiMErOyoDQRG4A0JtpKOIEKPkuRaiUeclH6aOqCWEZqA9DFjVh0EUVVwTLZMLt\nIcIFWN9uxYmGnBRvQ0I6LVqGkZhJ553PZuXGjcKDv33bL5uvef09UV9f2MN7j6995rdt/L4hhFz9\nULSQy4JCQ75IfAUN7ftnsxm819ze5EC3BQfLlSJswl77+/v46Ec/ijNnzoRjNWbJRH2RhQsUw+DR\n9310WmzVDCrR4iFw9irSgzQKluR+yACoE0gPwEUR4iQfEk+WRdNUPosawYJei3CJx6qqGeE5CQeU\nPBckx2U/CJZ0fbPdcI6mg6Z+OIeKlpFwyXlJoyqhsaMycld0JFwAVLksPn5AVcWs7aCq6LoWGOUY\nbfw+MElCeR8tkuYdv/pmWLcm9Y4BQv8eihpCrm4oWshlIYQPfH74h1JfQdO2OTQkZXUlLMzuF/B+\nwJkzZ3DnnXfmbqqSLQ1UFo4AcM6hiVVD4SEsWbR4s7+D1sIlNYNJokMkOCXpAzlABgkCJB3TAvCm\ndHtNtGgtXEZJuQCCMzVyWqrldE3hUwD9MgqeIgV1BmgcPqGExMbJtEakjIRL+brWoSDVg0JCtppo\nFB7SIhhFBMePHw/rAHRNUzoW2y/ypq//xPbxuqnX73zbW7KwUlV8xTd9y8b3IIRcfihayGXBq8bK\nlQEpDtQ0DdquC6JFNQ+cmIULUGkM2fyMyuIj6wBVnDt3Hnv7++Yv7tIOZSxe2q5DN5vBOVce2nE3\nB+TSW+/Cax/fy/noqPgUd0pxpLjcl3US30sVwX1Jl7HBaanyWtK2LFqQe7TUISEb7kF+KAdXZhk/\nteR12u1AXZPdpMN6rqz3aZnIX4lCRSdDQraaqBYt9tyzrkPThKEVXBxU0zkXheeE56KoBY3ZPqVt\n1BxgHZl8X+L8d9/2Fqgq+n7AVzyNAoaQKw1FC7nfueU7vwlt+ks5Oy3Azu5uEAne5x4iWbwgtOGX\nYois5S1UaBE8Ke4zDIMpA0axatbEi6BpWnRdB4mt771qFCtBqCS14LzAOwnJxHGtpGa+Pp0tuS0S\nxEmurc4xpti6vzSTsyKkclVSSCi9NucooaAiUrJgyeGb8p9igPb7OcakwxCFywIqbX5QH7VhHFBE\nS5W/MuWuqJ8UMgCiXD1UyQAAIABJREFU6CkhrbZtMJ/PsJjP45ctCJZp0ZK/AQ4QLhvQ8XeUFTi1\nq9S2Lf79v70Nfd9jterx1d/8rRfyToSQSwRFC7ksDMOA+WKB1XIJQNE0LU6eOg0RF52W8IxPjopI\nMiuiN3BQbEhitY4KJI45pDAnyX9RT4sXcYKu69C2HSBRsGg2NaplIIqUdH3ReYFH6HSbw0RAMpVy\nvks6SeqQK0WAJKelEihGxKiadfHaUzgoOyx5WUdiJe4PhWqsJkJyj+LDuVtA4Ta6KlP9VwAjWqJY\nOYq7UvJajLMRpxCmazHrZphH0ZK+/i5+PSd1i5aKNLNyYscxI8cl3zuNX7Yi2ERDGLFtW7zzbW9B\nv+rpvhBymWGfFnK/c8utt8F7xe7uMbi2hXMNdneP4dTp0+FZ7WPnVPNXe6lA0cMnr+UcZu6aJjg5\nSCGjEjoqybYhTDVfLNB2HQDJx6s5v8bJm4d3eEiX9wz7BDGgMayjPeB7ha4UfgX4FaBLradVmbBS\naG+nIGTy+cy1wDgUU4IlZrMY4RGvLToeutqH3zsLv3cGfrUf1q3dX18vj6p8xlU/ebygwa4fTGv+\ncszYyRERtG2L+WyG2azDfD6rxWoME4kTiDg4M4lzECdwLoibMDmzvD6FcGQ4TuJx4hycK/Pk8DRm\napsGbdOgm3V4x6+9+bL/PBFyPUOnhVwWRASnTp/G2TNnIALcdPMDsLO7mzue2pwWrZyWdPzEX81S\nL4pq7GQbDuq6GWbzOc7v7QEoD/ZyrMJJg24+x87uLrpulh/wHgB8NGWMtM8uy0RuS14xrs1VhMTb\n1JI+jjtUdd1NTkp2XLRal52WvH9xWNLxNhcjr7NhDhTBlk+zWkJxNrgsc0CbrnZXUMJB41AQgAMc\nltpdKZVFtcOS5kGwBDEwm3VYLObo2hZNDgvZyivJYaJJH2V0+8eUb4Hqm2HiFOF7SSWWtEOzcSYS\nwp2DCN75trdgiMneX/6Nz9z8xoSQi4aihVweBDh9+gb0fQ8/9Dh16hScc+EBJimPJYaDqpyWKGqm\nnkRJ0KBuAJfGIOxmM+weO44zZ84CQGjfX12SwDXB9Tl2/DiaNoyB5L2HuKBUHACflAmQ+7LZEJET\nDXkuU7ktqmW05xxvQq3I0mcxUx4QMVol1ZhDZl4LFOO4ADnUUQRILVoUgPo+Ch8HFQedSZgn8WbC\nQeNQEIC1EudSOWQriOrKIitWEG+Fcw5t02I26zDrOsxn8+xyJNESB6weCZf87VW+SBP6Vs3/JQ97\nSgQrStlaOVGJ8qXcpBDKCtcvWVT9zq++CX0/4Kue/iwQQi49FC3kstG0DW688Ub0fY/ZYhEfjB4+\nJdFG8QKtK4kAVA+oTK4aTm6NVAKoaVucOHkyjz00nAthCgEg4tC2DY4dO4ZTp05jZ2cXkkSUA5z3\n8EGRRMEUH14+5lW4sC5tS8m44oOwkeSQuHhdJqclDKYYH6NRi+VHo3VQknBBek4apyity8sHuyu1\ngCnHKBQ6rKBLgbo2JOS2MyhkXayMkm0BTPReSftNjDtkSpotIU+kQds26LoOXdehaRsjWkaOimz4\nfjDb11aNREpVQVbtl3JjYm6UJAcvHJRHEI/ncs4BRuSm74rf+pU34iuZ70LIJYeihVxW2q5D07TB\nZYkPcomJtBIbv6Xc2RQyApKVX/09XRyFiCQBkB0QhxMnT+L06RvidofVaoX0V/JiPsfJU6dw4uRJ\nzGYh6TNdE1x8nxQiGjktzsdWK3FbfHbB5ZhRVFwazpVCXvkD2FAPSigif64kUuzruJwWdE3AaDUf\nuytqBA1QRAtUobqE7p+DSgcVBy8uh4XGYiUJknC/TPhHxyGiaYclORjJqWiaBm0bqrdmsxlms1kO\nC+XQUBYKkmeTbAoLjU2VCadFkyBJ20RzvyBE109jtm8RLwgC1qdlhwbha/3bt70RX84+L4RcUiha\nyGVFRCBNeDxP5bOk6h9bSRSOKw/9zc+lnIWQz7FYLHDjTTcDAFzTYG9vD+o9Guew2NnBqdOnsXv8\nWO7PkpwWm89iH22Sk1hGz87osKTjnEvCS2LORnBYwmfR8lw057ZRjer5bpJrLWpWVmIF0+6KDRMB\n9Wv1A1T3oe481DXwzTyGykZixYSC0jnGOSy65rAEIWOvv2lCUisAtE2Lrm2DYIn9WdwolyV+getp\nzERYqNpmGd94IH/vIOvNpGDyd1UWK0m85FPF8zkAPib0NhD89lt/GX0/5BLp2/7l63M4yYaVxtfz\n9d/6dzZ8EEKub8Qm5U1w4EZCLoRbvvObJh8szv4SB7KAsXkLYduGJ5L5vZ+dGZPkOgw9gDRg4x6G\nYchOy87uDubzBdq2QeNKMzMnpqIkldsCZp2DE5QeImY/58SIMCnixDyAx+ENmVIwca71QtmcjZgU\nUpoQJONw0YZ9AIWHg7Zz+MUJ6Pw4vMha7xUbCgJQOSu2lLl0vdXKZUn3K7groQNxKG+eYWexwHw+\nC9VDXagg6rou3N8oZMQhVg9t+F6Y+o216bfYeL291/m1ViE362IhJyqX8FwScTkfKN67oR8w+FAD\nv/a9Pf7ab7pckxDN4QbIdcDkTwWdFnJ5mfg2LH1aouOidSURkJyW9T+XbWqC7fGSKlIEgGvCt/nu\n8WNY7Czgh/DAbZoGXdfmpneDV8RUFaiLFUECOyiyScANloqkTN0oVjxcdFs0PFxNuMuKq02v125P\nepCasFD+P2+rq4Y0P2w3h4nC4UbYqMJjgK724F0LdR18M9tYGaRqu9kWsaJrDksSLMGncE6yy9K1\n4evSti1mXYeua9E0TZxcDB+Zr7loGL/JoRriwd6rYlVV3yaTAmVt/dR+a26LWVv+q4+wlU45v6qB\neMEw+CxmJQmXvH/5hhgFQqv3UAC//dZfzl/Pr3wak37J9QOdFnJZueU7v+nA7ekXuXVdwob0evqo\n/L+Uc6S/Zu3DIFAeoKUyJQoc45S42MMjOS+I1zPlwjj7Ojst5TjY68iv689dX6bEKy1/9ZtZFTJa\ncwGyO2CFykQiLsq21JXWA9BuAb9zCtrtwEM2VgYBmBQr3vtw7lE34sa5IFiaBl3bYTYLo03PZsFl\nmXVh3Ww2C83+Yp8d1zi4RuBaB2kkJEeL+d6wN2Y8vw/rxhVZ6b7W4nDkXpnfo1asqcnnyT1+4rr0\n/RW+X0df/5HwWSN/vY3oVM+xksi1xORvezaXI4QQQshWwPAQubKMclySa2BHewaAXMo8mVCZ7Puw\naP5ojTmbxdTP7o3EZGCvdbk1APUhCgHnc4lzSqJ1qdQ5lT6nrNuJiqOQfFuuO7sm+XW5SHvt6/am\nmr/64xqTQ7HRcYn7lNGay7Z6vXUBFB5LaLMP77qQ52IdFpO/AqTmcutVQumciGE6J6W7bNu0aNsw\nAYjJt02ZXFPynKKrksNCDqFc3Em4t+krPeW0jJcnwz9mnYz227T/COuG5NydvLF8c+dglxmUUzR+\nNnNM+v7Ma6dCYVKOyCFCdXhn7NCrqlj1Pb7q6RwjiVxbMDxELjsHhohGIsb+8i9hn5p6H0yGiOJS\nzEexCb8lhJSW0wN2nJQLoAoJpVBQHVKq5/Y9yvXW4aqc0WD3MQ8loM5XSTeqDgWNS5lRhTPGFURA\nES3V3Cu8OPj5CejOKXjXmHLmukoIQCVWJlvzxyTlJEjatglhoJhoCwDz+Sx0L47hoa4tuS2uEUjr\n4FqBtBLDQwhfD5sPkoTJWKhsWj/ep9xW2M7JldCbCA+t5xOt31+M7kkRlJrltk0utt+b6ZuhEjT1\n5eYLTV/zch1BVPZDz7wXso1MhofotJArw0icZKTeVv9S1tz8azJFUVNzOuPSGLdGYtONnPAL1OXW\n6fwOUO/zAH3qBM6bB0j6S9hJGAI6uiNOAJV6nt/LCJf0qIIiJ3SmAR/TZ1v/W6I4JfGjrguT0WuY\n9XXuQ9k2TpjNHXD7FfzQQyEbW/IDWOuGa98vj/OTHZYGXZtcliY7LSnxNiXoJoclJhmFZOfGTKnD\ncPgCxrsjtXA5ymS/3+KtnbrvBzG1NSR2a50TXOWojK4h7VTUd3UuK1rGuVFjRyd/3cOLnPj8jl97\nM4Z+4ACPZOuhaCFXhkkNffg2hYY2+RscF00hFi2VSGr/GhcTekoT6nVVQ7nU3TYJDik9WJwHVDxU\nBA4hhORiKMm50DXGQarKKPtJgr4qIitdY/ls9SNxXbRodgbSpqmkXOuwlGqeImDSQJBFuADeraD9\nEh7ODAxZCxegHnvIllNblykJliYKlSRcmiaUPDcuhISapjEhoThvALQSRsYeC5cqfJPuwQHixW9Y\nb2+3iT9Om9BazQ7EuGVptHKN35Mf/ujHsep7PPxhDznwOPtSxmJm6i2teIniKfwsBOH4jl99E8NG\nZKtheIhcEQ4NEQEHC5sjYENEQBEokOJ82LCQLUOdCvkAqKqEpsJEEkcWDtVF5uGNupIozw6w/qdu\njNpn5shFsULFCpixyzIVHlpzXJoOfnEKfrYbwgx23KEoUACU1+YaQ2VWGHm5bVzOX5nFFv1dF0JA\nXRerh2K5c9u2Wdw0TQNpBW7mIJ2EqY0ipkEO11WhnvpWBQFjhYpHNShltR7I4Z5qkEoj8CpROOFo\njef5a2QcqHTce//4f+EX3nQbHvyAm/G87/722j1cC1+a0NHoe6S8LmJ29B1TCVtNo2wPHn/zG58B\nQq5iJn8hsnqIXH3cF7EyIa8VJdxRWsybUtTc+Cy6BGZ8HO8Vgzdz83BP66eX40PBe7MtOBRD3mbF\ngjfn9vW0tl7rdXmbSaIdz+P2wXsM6vP1lWss75fXDR5D31frh8HD+6GsG4YwGQGTvnjpIRtKnNvc\n8TaIkiBM0ojOrenJUj2gHUL+ShIpLYIvHCe1YaKp8FEDoFFoo1Cnwb2yYaUcXgrOlppQ05G+/zbs\nU+cu1RusSJ11Lfq+xwc//BF834tegr29/fq4QwRsEtn1u43zqGLZfgrRGderbRu849fejLe/5V8d\n4cMScvVA0UKuCLfcelt5MfVX8oVyYEgpTaOHutqH+0iY6PpD3R/wsB+vH6ptRdDUY/KUvh1r4siK\nlfjaCqS1z2FFjGr1voMJ6wzm8w4jsbX2WeJ7DsNQxEwUKl5LMm5J3gh5HOJM11sTFgrLrq4Uir1Y\nbP+bHBaaEixdnI/FyljAWHHiAEThokawqKR8E10XLFKmTWbOkRkJFojg2LFjRXSo4p+89JV413v/\nGO967x+XtzeiROvTwX7DZ5dwlPidQ59jIRN73zRNg/lsht++7Zfv6ycj5LJD0UKuGFm4jAWHTKw7\n6IlxgU+TSrxYR2M0mvFgBMKw9pA3D3udEC5Dvc6PRMSQj5t2Y+x72P3zNGqZXzssdSgnvU92gtSv\niTL7+fJrBXwWLEO+juCs2Cd6iXelv+6tYOmSYGmKu9Ka5Fs7zlByWeCCyxJyWhDESqdFsDRai5Wp\nJN0J4VKJFytWzMco33uXRj1Xp43C5bgVLZFfeNOv4Bfe9Cv4z//tf5iDZeKsMto8pdjj12cUWrIO\nTBqUsu1a/M6vvglPeMITLuSDEnJFoGghV5QsXKaeD4etu8jclyxexm5L9fDfEEJJYkB1JDDMNIzE\nixUclUCoHRC73roy1WTPo3ZdLVjK9R38WdacIQW8uhgaGvL2tS+KSalIuSyptLlpG7RNO3JW2uiu\nNBBxcUqJty47LVmIWHelBdQ4KWrdFStexoJFxlMUK+P15vNMJXpfSgTAzs5icttbf+Pf4X13fMBe\nDuyL3AtmImG3cljsoWtOjHFdYsjo5f/sBRQu5KqHooVccW659TbUlSCRcchezfyoIucI2LyWtTCL\nrjsR49yVTWEhK2SsOBjGjorqmngYT8NoGosXe77q3MP6cVOuUfX+6uGlwQApeSv+EIUoWgmW7Ki0\nRbC0jR1XSMwUXoewkMljSaKlBbTFZChIGzNNOSxilh3WRUz1GTZ+h5T5UWNFY9emKnkW7O/vV9VA\nY17987+Ij378E1W+UG43d2C+S3FYMCFgpl2X8DXo2g5/6S88EU94whMoXshVC0ULubrYJEiAyXyD\nye3j8x3xbSvXJZf5TuWjFGdk/NCfFhg2DFSHYNbzZiYcm9Fx5RpseGgUErJhpeT4DMX9SWJmKu9m\n8IpBmixyyr3dfDMrhyU6KsllyWIljaQd/7p3kqbgsrgoWKQN1ULopOSyZLGia+GeMhnhYqdJt2Xz\n95Ku/X/B305FYOS5PYnirk99quQETaAKvOxnX4e95XJq66Y3nVhRVEsuXpsQLqkC7lue+nXZfaFw\nIVcjLHkmVw2HDaYIoLgt94ULPNbmINgBE8eDJY7Ln1PJtB080ZZNjweDnLL5py59fWXdWG6q862f\nfF3KcnN/lioJGPDHbwK6nfKks1eShtOOL8U2jutadG0oa25HfVlsp9s0cCKA4Ly0DVwXS5xnApkL\nZBHnc5Qmc/FeyZS49ajLnO3cTkOc7Ot4vHoAXvNxubzZzm3p+ajUeWrduOHb+f09/Of/+j/wjt/7\nT9ifFCUBEcFiMcePv/D51fdZ2mbnQPl+3UxdFj3u4pu/R3wQU9/7wy+GquIP/uAPDjgnIfcbk9/M\ndFrIVUNVUbSJiWfoRg4KNx3hHEkIVIm4WrsvUyGi9WTddbemCuMM423Tbs36PmpCRXU+i03mnc5b\n2bBu8PDigHYeHoBT9yaLrPDnexNdlpR0mwWLTbiN+So5JBQdluSySCxxlv+/vTePte267/u+a5/h\nzve+icPj+EiJpDhJkSClMVwbSW0EhQEDQey4cRM4ae2kSRwkTS07curATNAWNtzYgQujaRAjaFI3\nKOAEddrEra0mkSyKEinZkqyBkkjxUZwe+eY7nXGv1T/WsH9r7bXPOffd+967m/p+pHPPnqdz+Nb3\nfH+/9VtdQPUA1QfgXz4UlAv11EI+ptpukReS6YWoB3ZmHsIJCa019gcDfOPl8/jK17+JyXTafAa3\nz3A4wj/6X39jjhgRH8kCVmXluFTnyuW5/PLf/zkopei4kGMFnRZyLHnmJ374cK7KjbDg+bLF5TIu\nS6PTAgQHJ+e2yEuI/wOUv+b9krjomXRbdPoLWrz7Y2jx69ovx8oWsHoibiiNqc8DLiTURa/XDeMJ\n+e7NXeGsdKNk3CK8A0DRLVD0ChTLReWwLDuHpee6P4scDbinFLktftq5LdDODEpdFum0lIicFlPC\nuixuO++uyEJz4Z9LExeLi12MuMgfjMFoPME7ly/jxW++hD/86jfw5ttvYzKdounf3zRv5b/80R/B\nB558X1jnvy/h3b7JI2SPGx6WT88R1++/P+H7oQ1KXeKnfv6/p+NCbgfZLzFFCzm2NIaLcuJCLkvX\nH7KXUe4YXnA0D5IIURk3sfZRt/dtm9x8gSadCu1h3Fim4aBYrFTLASlY7LhO9kI6wMl7gKIz83H4\ncFkqWHq9XiJYCjtqc6eohIub73SFaFkqoFZULFr6ADouLOTGIopzQ1TVYzkSLQC0dYmUQRwKSkVL\n6cQK/HY3Klr84npoaDKZ4Osvfwuf/9JX8K3zr2J7dy+EYOS2klzl21/6+Z9Fr9ttDBGphUWLfWCz\nwkRyfmd3F3/3F3+FwoXcahgeIu2iMVyU+yqrGetz3v1B5XgmWTNXCbcpRORDL2WZ9vDxFWZNNixU\nq/VSmpnbpuGgepJtHAoqtUbU7C6vu8GVkgckZhVQOSguHORfkWApChSFLR5nB0KsBkOMXl0F9OAS\ncFEvIJdLpPWXpUTYSH5OhQHkutw2tdcN/EZbQAhfvnoNn37h9/HlF7+Ba9s7kWAB6uGZXO8gYwx+\n7df/WcMZTPR20EuX4aLctayvr+O//a//GpRSePrppw92EkKOGIoWQgghhLQCjvJMjjXSbYnCRYvk\nn8za5jD7imPYXBIDO6Kz3cXA2NGdoWC0CB2FEIzMZzFJfsKcywq/pmN7X4Yqcj2HtIlDRVmKDrB2\nMtxb9AyU3My6KQDQ63mnReaxFFWp+KKqeBsNNlkoG/IBbDfnnnJVb20ybtZlqT1/15PJX2rNYbPr\njc+FSd0WNJsTZuba+ShVfVbvXLqMV19/E+MZPYUW4fzrb+Dl86/ivQ+dE1epQrpR/JVd4AvsP+Po\nw5aWmgqP7MypU/i5v/WT+O9+5dcOdQ+EHBY6LaQ1ZMNFs9qVpn+zTcP0Ivs2HMsYE4Vo0vGGsuGc\nMvNeyjCPibctM/s29gqK9/frZ+awnTjb8AxswogC0HOjNctXz3dn7naCQOlIoeJCQ4WoeGt7C7lX\nECyIw0Jp6EaJj6spBJgL+TSEiUxyf9njIvcVaX6GKp1yb2XZ3FNoUYwx+I1/+a9r4aXomqLOQ3NE\nVxLyA5IQkVinlMKpkyfxU3/1J9ibiNxWKFpIq6gJl5y4MMl7ujzNf7mRH9QNx/bipda1eYbgyK2f\nCvEyM99lhvCJqvPOTrgHNu8ECmm8yu0VOkUH/X4f/X4fS/0+ev2efbmaLD7BNnZWRE5LxwuWwjaM\nLpdFdRXQhXVX0rGDFhGOYvygYBrMEC7yhdz2EMsjkue3oIOnoHDHmdPBmTosl69exQtfsMmwuY80\n0iwHQdUm3KzLsXEi5t6778LP/OR/ReFCbhsULaR1PPNPfhPP/PqMmi6yQTKZ5U3b5/61n+fEZMIn\nAKqRlssyLyhKjWkiVqaRmCnD9jXx45N5w/bNwmiuWAGAlU2gv9pwg85dEYKl3+9jqWdfPiwURIro\nLeQFTKdTiPofTqh0VKh2q3puflblWt+Tp+kjyYmcjHCph4gyPsqiLtuCnNzaxIP33Xtkx/vN//u3\nMZlMomW1j3lRtyVQv+mc2wKlcPedZ/Df/JUfZ1IuuS2wyzNpPQtV0k1ZJGdl1n6HyKlRIX9FhbFh\norFpwoZxJ+io6qpdINpyU+W2zDl/5Dj1loGtu7OXb8ejsXkqsrKtr8MCwA1+WNS6N1c9h5xY6bhS\n/c5dUb0CxZK751UF1bchItVzPYg6oj6Lv43qTxy5CtNuXa37s3iVCpjCdm+eGvfu9vddoMP2cXfn\nqraJf97yvbqgNO/IGIPPfP4L+M3/69/OLCh3ED78gafxYz/yp+P6PmI6mqpNVKGkXHftkNFjRDdo\nt97oamyu69s7+DN/8S8dyf0QkiH7LyxFC3nXcOBE3VnM2/+wx08ITbGKD6vEgrhUvL2IQ/0Heuac\nPxrSm/FJtVVp/kqsFK47M+BK8Bc5wVK9VKFQdAqojkLRs+MK+VL9AOx0T4iWLirREjXIiEVMzV1I\nRIsUL74+i4YVKUG4oCrj76ZDKX8nemaLFtTyhGTj7yevb2/jf/nn/wKvv3mh8eM4CEop/M2/9Bfx\n8IMPxKX8M2GebOTHZB5fTrTACzeRyO2ES1mWuHzlKv7cX/7JI7knQhIoWsh3BjfkvNwKcjk1i+yT\nNDYHPoYkCJX0BPbdl+SvOStusEMvWPy4QT780xG5K5FYKZxY6SiobgHVc8Klr2yJfkAMkOimvWgp\n3I36nNak9c0+gpzbkhaWk4JFihZZbC4z/lCTaEkLzMn5UMhPa3z6c7+P3/rt35053tBBWF1Zwc9/\n9G9gdWUZ6dPI1XqJHl9GtMwqlFcfn8i6LdOyxPXtbfzoT/zVI7knQgTZ/8SZ00LedTzzT34zTti9\n0ezERfeZt50//6zk0nm5M3J+Vg5OE2fOZQSLP6BBp9PFUr+PpaUl++r3XIXbvGDpuB5CUrAUTrBE\nxcmiQnKwQsQl3IZCai6XRaXiTCOIhfh+5+S25J5XU5Jtsr3JLDswmf2LosCHnn4Kjzx87pAHr9gf\nDPBr//SfYzot6yszP0aD+ZQTLIsgk3IVwjAVG+trN3I0Qm4IOi3kO4YDDQuQ2wYLbHcjHCRP5kb2\nP/OgXeELegi6DWMDha7LQqjI+cKNGxQEi+jirNyAiKrjpjsquCnh5d0VICTjRmEhX7bfZoDW3ZZc\nDlBAAQbV2EP+3ZfuT8NDIqfFhJL/phr1eZ7TskBeC2Adi1e+/Rp+41/+Fi5evpK98hvh6cffhx//\nz/9McL88aY7LbNJ7SJwWOxGFiaoqzSWGwxH+9I/9+CHvhJAIhocI8cwMIS0qHg4iMpq2XVQwHURU\n+e2zzgpCPkoI+3SqUvtSgKTuShX+qXJaIrHiRmwOYy51FJTLZVFdGxbyxeNCd2cgHxbyAySGHkUi\n30fGOVSYEg6UEC1pTsuM8JCZ+u1MNf7QEYoWAJiWJZ7//S/i33z832Nndzf7+RwUpRQ++NQT+LN/\n6gexsrJcLbcrFzhC/foBRGLLv9dCRMaKlum0xA/+6I8dxe0Q4qFoISTHLcuBuVG35iDi6My52vYK\nVS8fL0YAITgyybOdaF0cHvLbABADQlbCJRSR6wiXRbzgRYt0WrrKVsYtVAgdhbCREDFRonLOgfHP\ny7stXnQkgyQGwSJFS1ifihYTYiuLiZY4OTednkwm+PfPfgb/7lPPYTAczvlAF0MphfecewA/8H1/\nAgDw8IP3B+dltuNSv/aFRYsxMNpA6xLTssRwNMIP/dhPHMn9EAKKFkLmcygBc6PhncPg/wu945yb\nr0JASqlMsTcVBEfOXck6LsJd8aGfovDnyLssldMiBEtnhmjpCNHihYoMEXnh4t/CS7nb1qEujoJC\nv9eDQlEJlxmiJRrluTTRqNDGoOr67J+3iRv1g4gWv+3u3h4+8dzzePaFz2Nvb3/BD3s2Simsrdp6\nOx98+kl8z3/0YZw5dRK9Xq/+tVT+2urHaeoNFYkWIPQiMr7GUDnFD/7oXziSeyEEFC2EHJxj2xPJ\nk3FWYEzIP2kSIwCqGioNYiV6CVFiRUp1jOCu+LCQr3wrRUsHddHSTURLkYoWJLktqMJEykaBRhPb\nE+fKtWt4++Jl7OzuYKnXx/33nMXJrRNYXV4GtKqESxIaMrXeQ5VoCaGhGxAtcU+ceL3/N3dvfx+f\neO55fOLTn8WX8pioAAAgAElEQVRwNDrIpz6XoiiwvraKpx9/DE+/7zHce/ZuLC8vhc85zX8RVxdf\nK+S9JzVbkrot0+kUw+EIP8zaLeRooGgh5CioCZmD5qXUREZm/4bk2mgAyY99NHuQQqmQVNskRgAf\nHsq5MUUQJsE5UbFgyTstIjTkwkPVKyNaOkK0+LCQFyqFd1iS3kVOtEz1FFe3t/HS+fMAgK+99DJe\nf/MtjCcTLPX7eODee/CBJx7Ho+cewtryKpRRUIloMbUuz8JlKW++aAGAnd09fPIzz+PZ5z+Hvf0B\njhqlgNWVVZzY2sCdp0/jxIktnNzaxNbGBjY31nHqxAmsrq5YZ0oVSP/JDy6LFy810WLzWow2mJZT\nTKZT/Kk/918c+X2Q70goWgi5WTzz4z88X4jc6LFzA0X6dX/7p5y4sY25FCxRd2QZ6lGxaKkclCJy\nTar3WMD4HBZ7jExoqOP26SigSERLJyNaRC5LcFvCNKKkXANgbzjAq2+8ji9/4xv45ivnAVinZTyd\nAMZe0/LSMh5+4H586Kmn8NhDD2NrbQOFKfL5LKH3UE60mKrInP9cDytawsHs3M7uPj7x3Gfxiec+\nCwAYj+MS/UeFFKtL/b7r1r6E0ye3cOeZ03jwvnvx4AP34cTmJgCbsC1DQ/49rpBbiZZS24Tc/cEA\nf/bH/8pNuQfyHUX2X9CjGcWLkO9wZo6FlG7bEHKaJU4a8Rmo/i3kraiacyIdEbutqKeSfcGNP5NO\nq3Ba+Hl/DarhXxrfk0dO+3ntFzZYUS6nRZcG17a38bWXX8KXXnwRr775JvYGNh/EGBN20dpgfzDA\nK6++hsH+CKPBGO97+GGc2TqFjilQv8L6b7N5v9YOtT5aqbC+vobv/a4/GnJbnv+DL2JaZmqvHBI/\nOrQP5ezt28/07YsX8eJL30K/9wXceeY0/shTTwAAPvLB92NjbU24LfIejL/8sMJ/b3pHNDgkITlY\nXI4QQgghrYCSmJBbzA05KgtgUz7muScqlHivLfNuSs5hEcu9u2KPEU4c9qm6piB+h+vcZGATXQu7\nQmnV6LMYAKowMCVwdfs6vvLNb+DzX/4yXr9wAcPJSHR5rvs7+4MBvv36G9BTjZ3tXTz1yGM4s3UK\na/1l27NIJRc3AyMchaPHYGNtDf/Jf/xdAIBr29v46jdeulkni8/sHJOyLDEoS5x//Q28/pYdH+mL\nX/kqvu97vxtPPPJem7hb7yJle2ehej5KYUaSLyGHp/PMM8/MWj9zJSHk9vIfPv47dsLYcE836THk\na7D4hNkwLpDLWYlzWWyuip8uVNXFOSTaqmobIA45Re9SyBRC8Ejx4xs6SAEkewtVQmR3bx8vvvQy\nPv+lL+PVN94IvYYi0ZKJS5Vlib29fVy5cg07O3soJyX63T46SqGrOlBGufAUQsjKhPBVTqXUklcW\n2KaZkCcDYHV1BaurK9ja2sTL5189shouB0Ghylu5tr2DF1/6FsaTCe4/exbdbre5pgvivJcvfu4z\n+MoffA5PffDDt/LyybuLv5dbSKeFkHcDarbTUiT5K26X2W6Md06U1xJSdCTnj3o7GRijREVa+xPc\nGEC5aWnIwHVaMTp1WwxQKEzGE5x/9TV88ctfw6uvvWkTbpPUFAMTxE+aZzGZTHHpylXs7Qzw9luX\n8Mqdr+GRB87hgbvvwZnNk9Z1QVbz3BYevO9efPgDT+Pjn3wWpdbzd7iJDAYDfPyTz+Kdy5fxQz/w\nn2J9bTVKR6pjvx+dgm4LuTlQtBDyLqEmVFTsjIR6Kw3hoSrJtp6IGxyQBa4j1LfzboVJBIsGjDLh\nOqTgiKft+S5fvoavfP2b+Nar38ZoNIoz8XzrOefCjDbY3x/gtf03ceHNi7jw5jt4z30P4sn3PoI7\nT50BAKz1VyvhE/X9mXPsQ65P6Xa7+MgH348/+PJX8c6lywfc++gxxuCLX/4a9vb28Rf+sx+ytW+Q\n5FOL3lBA1VOJkKOG3yxC2o5oFa3QiEdaTl2WIGaKRJyk+SxIHBHMaYBl6+Wno3ALRJVZVNVptRUV\nYYwgMT3YH+IbL72Cb758HoP9Ub0Hkjh3tnxDsmhalhgMhzj/2ht44Qtfwr/71HP48te+gS9/7Ru4\neu26PYZpEiyZXjSLcANVJU5ubeHJ9z0KpVStfL583Qr8uV565VX8H//nv8F0OnVi1L/SbtwV/+x/\n/tVbco3kOwc6LYS0nbQ+DIzPEgkr07CPXetdF9ltusGyEI6GbJtUspExvvuznXaTVohA2XIyftod\nKXVc/Nqy1Pj2a2/hxW9+C9e3d2yXXV//LO02HXJ/jc1TmcNkMsWV0XXsbg+wc20PALBzfRcfeN/j\nOLVxAt2ikxUs+YdyCExm0lU0/sCTj+Ozn/8C9vaby/xL4ZJLRj7UpWXK+X/l69/AJ557Hn/8u/9Y\nuGYTxFy9Xg2TcslRQ6eFkJby539E1HuRtTSMbEwO2bDm8k7Fq5o00aZGntr/GvfiJXFWci6L0cD1\nazv46ovfxBtvXMBoOM6LlabrXOB+jDYYjUb49htv4ttvvInPfP4L+PwXv4y3L12Kc0n8gIlNpzXx\nkqOq13n3HXfgvnvPLixGjsKBmXcMrTU+/slnceHti8FpCdvXHwY6HTYx5GjhN4qQlvLeh89VM6Fd\nM1XbEUc6FuSAO5jMSeKa9dUmkXgRuwrhYpx4mYymeOX8a3jl1dews7NbCZtUuETiCHGoQi6fwXg8\nwXg8wdsXL+FzX/pDfOmrL7pQUZwEG497aBZ6UnW3QkzP2bff6+JDTz15Q/khi4aSbiTcNByN8a9/\n5/9DqXUSoTO1r4OvnEzIUcFvFCHvClyIJTgCwgMxSSN+UGr7ZeyOxH2BEymhAfOCxbkpletiglAJ\nwqU0uHZtG9969TVcvnwV00kZCxadvKf3ZrzzUzkkjSJGTGutcfHSFXzpqy/iay+9jL39Qb0abOom\nRCtSlyURLOmDTHNn6i0+HnnoHO664zSOgqPIiTHOQnv5/Kt49bU3MsfKfBiEHCEULYS0kIceeshN\n5RoF19BGbfbBVEvzlrOPERpm2f5Kh8VIwYJa4q3RwHQyxRtvvo033ngbg8EIupTbotltyayPGtSM\ncDHifwBQTqe48M5FfOEPv4rX37yAyWRSkx71p5B7urPGG4odmCBY0rMYg82NdTz9+ONHnq9yI8hr\nLssSv/vJT4XP1YRnLafnhcoIOTgULYS0kD/5x7/HTVWNWWhOk8Y512bP5sZaGunoVOIlDg8FwSIF\nhcxrKQ329ga48PZFXLu+jXIyhc+byIqTnJDJCByjZ/S+EQ/GABiNJ3jtjTfx9Ze/he3dvdpziUwF\nf6fJw6011qmAiQ6RFywAUHQKvP+Jx3DqxIn8Q78FNLky57/9OrZ3dyFdpmpARfc/qhZyxFC0ENJC\nzt51R32hFwjxQgQhc2jqB5G/rKutErdFChYjlnt3RQgLXWpsb+/iypVrGCYuS5TXkoqVJgemSdTI\neXl77loHwyFefe11XHjnou3iO8NhqT+lZKuaq5I8wOT0UVI1gDOnTuKpxx+95W7LvFyY8WSCy1eu\nxkIwiJX694KQo4CihZA2krZ+Jl7pfvv6NtiFJ5LXIU4dH0I0vDm3JXIjKrelSsR1eS3Ghob2dvex\ns7OH6bTMOyypWJn1atq3KdzkKLXGxctXrGiZTLNiMHP7/sZzW/kHFD3HaFo8VCO273a7+NDTT2Jz\nYwM3k0XzXWSez9Xr12PBUjsGRQs5WihaCGkjob6KaxgytVog3oBau1yncWWV9VFzCoQDUXNbEocl\n5DiI90jEaIPptMRoOMZ4NIHJ5LL4cNLcsNCiYqbJjTG2l8yly1ews78fiyfkcjVMbfmieSxyupqP\nl9155gyeePS9R+q23EhSblQXBgjJyrVjyc+WkCOEooWQFvHUk0/gqSefEEuqam81d0XEY6LQjJ9M\nGqtYkCQpqpEbEVsTRjSw4bzOaZGCJRYx1l2xDotdpkuD6aTEYDDEeDS2B8s4I+FYi4gTUXV3rniR\nqs4AutS4vr2L4XAUpFm4p/AY4nBIRbPj0iRYYlEo19vuz08//hhWXAn9cKyMYFj0dRBy+xgA48kk\nzmUJIUrmtJCbAyviEtIifuD7/0R9ofz1HRpUJxyEeAkSxDck2bF/UDNu7LbVwU1SFlcp45YZd0hb\net4PA2Bgq9Tahlu5Wri+9i1gtIIqbAM3Go0xGo3t2hKVOPHXICvfpuMLKPGa5cCk6yIRUs1rY9Dp\nFhiNRtBlCZUMAihzd2rLF3BYcvsmR44EzQP3nsW9Z+/CN791/paJgZnnMQbdTqcuWOiwkJsInRZC\nCCGEtAKKFkJaxOrysh1lN/op63/xV5ZB5K1E4ZlMLkMSSgJi00GGieq5lSZyDypnpwpB+VAR5K/w\n8KtcThuU0xIwCt1Ox5omqVMiQj2mNOEVwkAlgCni+aYQ0YzQEAD0u10s9/rodrtVLkkIe8UuSxQO\nEatm5bFUDlj1HGy4ye8Q5xH1ez089MD9N70X0aJVdAFgY30tcliqXJYbC0MRMg+GhwhpE9kGKxm2\n0LVycV6LFB/p9saNJuyPlsSH5ACEIkxk93VhHre/UjZOY8NDcMtdMEi5kI5JwkNQUMbAlBrdTge9\nTge9ooeV/jIme1OnXMRt+nchNIw2QIF6yEi+ZgkXsb0BUECh2+1iY30dqysrIU8jbAe/bT1ElIaA\nZs3Xpmvr7B8DOyDivXffhW63g/E4HmLgsNxIIm6hFE6fOhmL30reorpyQo4OihZCWoVvBGb/2vbC\nJXVWZMaoX6a8sFBVXouSbY1KG58qp6XKZ3HTxiaUVCJIHN+P7KycSAljURub16IKdIsuNtbWccfp\nU9jZ38V4OsFoMoY2uspt8RcpBYeCdV/EhSujqm1yXZ1l/ZfkmEVR4MTmJk6fPIF+L3Za/LOL5uMH\nLy4zdl4OKl5MtDGwtbmB1ZUVjMcTHAUHcULSbdfX1nBqaytymZKvWCTmCDkKKFoIaRUNYsUaHHHY\nIYQyqkYkYywkwsWvk3aGczAi3SJdEjtvjBJOS+K6KJd+a4RwkU6LEze9XhdnTp3C7v4eJtMJet0u\nLl65gkk5wbicWhGm3R4iFCOTdKtHYvKiJXVgkgeioLC6vIIzp07izKlTWFlazgqISo+Y6Nk0LmsS\nKMJNQXa+ml5eWsLK8jKuXd/GPI4qNNN0nPc98h50uiIRF5UwDiFChofIEUPRQkgbcSIlEDSGEW+x\nZR+5LX4jqy6iEJEN6/ht4tBQ1Xw6lyQRLJXTgsR1ESEitzxyWlyIqNftYW1lGQ/eex+Wl5awsb6O\nUydP4PK1qxiOxxiOhzAKGE3GgAImeuKOoVCW2l6jC01F+TfzBlx0j0sZhV63i7XVVdx39ixObm1a\nl0W2vSZxnqLJeWKl2uGgTouBLTTXyYz6fDPEwaxjriwv4UPvfzI8vyg/CcnzIeQIoWghpCX8+R/5\nYbz34XN2ZkZ0SOZZVG5D1Q11ttOiZLsqzuMcFxOf2CgDCMGSOi1NwgWm7rQYZTNSlvpL6HQ6WOr3\ncOrECVzb2cbu/h6u7+1iPBljfzS078MBJuUUADAYjTAtpxiORtBaYzKZQmsDrUvboJbuhmZ1eYYN\nC22sreE95x7EPXfeidWVleAS1YVLdiYSHY3zM9yUWeu01piWpVt8c4TBIsd94tFHcNeZM5EQjt2W\nm3JphFC0ENIWHrz/3mrGORy1JFz3xzcgwWnxDaHs0eEbm8hpqWqthJbHoDqPS8QNmsao2GlJ8lvi\nGi514WIPWSXmGigoBfS6XXSKDpaXl7C1tYHJdILxZILBeITxdILBeIjRaIT90RAAMBqPsbO3h+Fo\nhN3dPYzHEwyGQ0wmU4zHY0wnJXSpoaP8nvj5dooCWxubeM+DD+C95x7E2bvuQL/XT/Iz6uokOsy8\nBFy3rFmsSNFZd1oGg2H8GR4hixzTGIMTW5v4rg9/KHyeIflWCGNCbhYULYS0hF6vV80EYYEQ4gnT\nqCZj4WKikImfVDXh4noQeS8kcVusS+InE6dFChoXIvJiJOu4hOMlwgXW9ShUgV63ByyvwECjhBUe\nk+kEU11iMrXhofF0isFggP3BEPuDAXb39jEYDLGzu4vBYITBYIjRcITxeIrpZAqtNXSpAQN7fAAn\nNzdx79m78chD5/DwAw/Y6rOyFU7dlfpb/TNIli3mumTcMsf2zs6RJeHay1hMZfjtut0OvvuPfhin\nTp4IYqWqgitugJCbBEULIW2hbqxkl1WJuHEeS3BbfFhGOC2xcEElMvw5AFQipmqhKj9GueVxbovf\nQOa4IBy7qshbHSmtmKvc/xVU0UGn6AAKWOr37X7u3qelDQeNx2NMyxLD4QiD4RCDgXVeBoMh9vb2\nbcXd4RjjyQTadbFeW1kFANxx+hTuv+ce3HXmDFaWl1CoouaW1EXK7NBQbtki4iSdN8agLDUuXrmC\n/cEAB+UwzozftygKfOCJx/H+xx9zOUNSBFOokFsDRQshbSEdFDHpMSObjSqnJH5pY6BEz44gXNxO\nBqm4gEjKreRGlKjrRIxys9Wy2GWJBYy4rbRLNOrixsBAaYTwkVIKhahZ0+n2YYzBcn8JZVlic20d\n02mJycQ6K8PhCNPpFPv7Q+hSYzQa2/2KAuurawBsd+K1lVX0ez0URRE19CZWGrXnnRcp9k+8XbIs\nES7R2kS4jMdjXHjnEkbjMRbhsCEkuX+nU+C9D53D9/yxj2BpqV9z7Ko/FC/k5kLRQkgbUcmMqd6q\n7qaoiRWZD+GXF06sqCBa0oYnFi/CaHFrZY5K8F2CgIlDR3GYqDqIy3uRPot3fRSgCidYtHOGlLHH\nd8LFCxkYoFt0AWPQ63ex3O1DL5kgYorTCqPxGEop6FKj1+uhcPfX7XRRFG4uCLnwJzZVUtekaflB\nhUtm3j+n8WSCi5evpGesbXdY0uP0ez089OAD+P7v/W6c2NpMrr/664WMkdd/k6v3ku88KFoIaRO+\nPUnbAtnlWYZ5jKq5LVK0hJcXEamYqJ0kuYBEwaS9g0yyaxQmEnk4lchJz+aOo71QcYMriu7S8NsF\nc0g4Q0qhUzgx0+/AaNutOjg7piqq528lFSvR45iVmyKW1cXMPGGSHCWzfndvH1evX08coKNzNtJj\nKaWwvrqKxx55GB/5wPtxx+mT4bpCqDG57urbEX8+hBwVFC2EtAbT/MtVaAk/6RuU1GXJipYkRNSM\nDf1UESM/78XKAcJEEMdA4rK4e5WJuV6TyERh+QBsbs7sJ+jdmKr2SvXAfNJyOGJshcwWJgs6LPOF\nizhKsn44tKGto+45lB6v27HNwh1nTuGp9z2Kp9/3GDY316tnkAiWVLjIsZFu9jhJ5DsPihZCWkPG\n6QBca6eqKJEQJsq18nOdllS0qNpZRMOdWCLy+maEiSIBIwq21eq5QFTODYIllS7hkqLrNP6e0w1m\nIkWC3CcRKzcY+knnZwmX6jSxy2OMgdYGpT7cmEO+O7sUKj4/qNPpYHlpCfeevRsA8EeeegIPP3Af\nev1edZ0zhYsXg5UiVUrhH//KL+Ev/62fPtR1E+KhaCGkVcjmGU4MKLEodmOMAUwmIdeuS0WLCnkt\nvltz1Jw6hyUSNUa6LXF4IJvnIu8iRIeSei5IK+cK6aKkdEnclhDeqkfP5COrTWepGuK6q4JwXXI+\nOuw8cZJ1WfLz/q82GtPpdN6F1/DDIyz1++j3bGhsOi1Rao1CKfT7fayuLGNrcwN33XEG733oQQDA\nnWfOoHChtUqwVMKl0j1KfOX85+jPDXsMQo4IihZCWom0Qpw4ENolzntQtaRcwDsyQrz4htr9Wq63\n61VPoaaclnibWdduklk5WnRaOVdIFyNdl4rgsJhYtIWVR4WJxUrtKR1CrMRRmnoi8HgyOXC4RSng\n5JatP3PnmTPo97sYjyeYTKaYTCfodrpYX1/Dya1NbG1sYH19Dasry/XrTZ0WuCKElUnlzxg9fmMM\nisywA4TcKPw2EUIIIaQV0GkhpM14i8HnrohCcX6D+b2H3LRyTktTd14AzfkssxC5KJFTI8JGovtQ\nXDXXXknwW0ya5VIFnKTbUvdijhjpmNyA45J3WJrXGxgUqmiIe4nTJLkqW5ub+ODTT+I95x7E1uYG\nOkWBaVmiLEtMpyU6ncKGjfo9FEUnuo5aom3NQFPB6Utzn+Q10GkhRwlFCyGtRCQNeNy0MVUBOfie\nOFnRgli0iGTchaWJSCtJMkwQCZzsAZP8HLFhJVzEPSAJFfn8CST5LbnrOcoQUY0bzFVJxMrMeWML\nvHU7XlgkV5DpUbS01McHn3wCH3jycWysr1XiwX/e/jkqNAgTU/toqsifilcg2U6soWghRwlFCyFt\notIiiByMZBNtTBT71VaZuOJsvlHU9XwXAIV7V+5VRMeOPYxwdjlhlEuxqV9buHaTWZSmuoQRp+OS\n/5HTkggUA7huz3ZJ9Ljk80sf2Kz1Yt283aPloetPlQfibifaqzYv/sjp1dVVrK+t4fr2Tnz8DJ1O\nB488dA4feOoJbG6s22cWLsfLDiv7rLsm7yV/3Tmir2G0oJqlaCFHCUULIS3gmY991E6E9kAl74AU\nMME1gWukjG3MtVGA9o2Wga2NX7hl2pav1yZSKkHAGFeITcUNX3zmnIyah3NXgChMFO5OpYJFaiQT\nHSMKE8nn4f4cecjIpLOpS5IXLFKMJJPJ+mp+dWUZJzY38OaFt6HndH0+dWILH3r6KZzY2ogEXypc\nkrf6Dc1YHD1L16urcrnsRAGKFnK0ULQQ0nZC25w4LjJEpA209WDCVloBSisYaKtbdAFAA4VdHsb3\nkS9/OqEVqqqyxnVfrq5LdGqqdvDqwdSX54RL2CLUdhFiJI4Iodbt2ZfJPWh4aO72NbWSX18LB8XL\na65KdKxYvCz1+rj7zjvwzW+dbxx/qNe1/6Q/8egjuP/es/IosXPSIKqyyzOuWDVTiZXgwMneQ6Bo\nIUcLv02EtIaGljRq3+PfzLKbszZaTNtiZVpr925cuMhPm3jbsI+G0TpaH6bFfsZosU5b0WSqc4Qu\n1pD7OKElul+HF/y7ie/QhBsVdVWSRzYjjHIw0sY/khq1zdJLCcuaBIuR8zJsY+e7vQ7O3nUnTpzY\nzAoBpRTuOXsX7jl7F5583yNWwJjquKaaQHW6cJJkOaK/6ctab4lgUfYaFJTQuQpFofDr/9MvZ54E\nIQeHTgshrUE4BlGShrQz6vktCEKggEYVVlCwbktoiZzTUhSADk5LUSW3KOdiiLMoU1/mT6mSX9yN\noZkoHzdxXPxqk2ys4uwaf3x7Xmvx1F2eIyYSJ00BlthlaQoP1YROLoxjbNjngXvuwe7uPvb298M+\nRVHg1MkT+MgH3g8AOHPyZHoFYSaaz15Cs+qS2Sq+um5NuERWi/2c6LaQo4KihZA2UWuFZzXLIowC\nkYzrnAdtDKCNT8eELqr8Ft/GaGio6H+VUAEQKtRG4iWEi9xVJALGxgwa7i0RLn7z+q3J7Baxsw8h\n+Wq8ucdTc2Rmnmk+td2kUKkES32TZLua45GEZhSwsbaGh889gCtXr+Gtd97BtCxhtMHpUyfw5KOP\n4pGHzwEAik4ndoGiQ9edlYYF6enDhHITjcLF+O+HrZRM0UKOCooWQtpAreXHHPsCtZXGGBgtvRa3\nlYJLZSlgoJ3hoqBUYcuwK1Qiw9eC8fv6eVcfRoncF39OJZJcfM5L4bN7/WUWYjoIF3+TuecR3+Ps\nPJrc01ic+hXMEDeRIEo8l8htkcvctqlzY6I5wAC9fg/33HUnHnvvw1hZWcH+YB8ry8t48P578ejD\nD6Hf7zccT1zPHGcld3e1lCkpXIBaqCjqoaSADkULOSIoWghpA6Fmumg5bqAV9m4LgDCwotYGKAxg\nNKCddCkABY0CynotLlyk3EjKvtu0FytGrLO6xYTtPVJ3Sc1SyAUKyX0lN+kbSxOHZLzQyVe5P0SQ\n6IDmS2riROGg6GAmEixxbyMjhEXd/VhfW8Oj73kIW5ubGE8m2Npcx8mtLayvrcZRQyTCZI6zkr/V\nVBnX06rDZ9KQjEunhRwlFC2EtAGDKvQRJudaLVk3xrjusvVOs4W1QAxQaAWowvYwil5OjEj7PxUu\nMpSEBi0i8Hol26ylbaBwAlRoLSEW5p7JAs/pBqikSCxG4vd4tu62mIXCQ0H0GFuDZWtzA0tLS1AK\n6Ha66HQKACo5a5ODsohYie9F5g95h6X6bDLC0lTLjOL4Q+To4DeJkDYQnA33KmwjZanck/p+9UXG\nvXyPoKqHj056FOnml3Evv52pb2/SV1KVN/sS/5MXK3sRZW8mPIdkWUN+xoyDZNbFU9ktxSHij2JW\ncCkRLPIYNbfFCOFhoFSB5aUlLPeX0Ol0UMXV5AOLJyGPE58u3je+kDq58FuagCtUqoLtOv+P/+Ev\nZQ5GyMGg00JIK/C5G9V7SP+IkjgWdxWMMdBlCd+zyCiggAFMAVMghHcK76CoalkV9vHzovS+20eL\nbaNXoVCI30s+tGDsn0qKeaEWXbRoR9PkXhU8ADvr3R87AxjRy8kfJ2eS5FrqVLEk77m2PU3EDQm5\nfj4cIlZjNcGScVuqufwFZB2XnNuSuYfaY83OuC3Tr1oQL+763GToiUbIIaFoIeSY88zf/mhoH6Ro\nKYrCOhqzckDmYAyq6qoFbFn/wooXn4hrGsSHPVtd0MDA5cTEr9BkacAUVYKub4OVUyxeqqi0PU7b\nSNkyRyk/BrVs3EbHJdOM5xydBp8lKwLmeDpBaiSqKS4CF998tkBc/a1+7tz67P3NuPpUubhne9CA\nW1EcfYiOfOdB0ULIccf/Wi1U5CaoooBSCqULvVhcC7Oo4eI2LbWtl1uEyrYFisLknRLlM1ak8xK7\nMErWeQndpyvhYhOCrVgq4MRR5LSYTLVbMZZQ072ldkGkX8SzWQTRuNffG0RMg7siXRYpWKrFi7gr\nOTGT3D68XGgAACAASURBVPgccZaPIs5+IH40beOFpKr2En7bzGNAMRmXHA0ULYS0AWuzVI2EaLU7\nznHRRjQjMkF1rnixG+lSwxQKxigUhW2sigbBEoWpMqLFN1AaGoXOCBet4Yd0NIXrCj3LaVFxmqlJ\nf+0LlyU0skaFQnPV85Ctbi60knFM0u1MfnXTRsFdEcIlbCEEi0kO0VR+PydU8rIjVjDV8bN1fBtJ\nO65VutAtzH6/0gxpihZyNPBbRAghhJBWQKeFkBbgE29jh8P+ytcGKFQBpQ3KdPTfhXr/iu6pvkcR\nDApTNOazFDWnRY43AwAaShV2SABoKF2Firzb4kNatjKvBooChah0G5fxT0NDJoR+wl0YVIm3yb0b\nE90l0jk5My8kVO/qnC8YJyN22WMlYaHYQ8mHiIzcruaw1GND6fq54aHkmMp9yWxBwbjrc3JksSZv\n7ynmtJAjgKKFkBbgBYsXLXb0ZbuugG0mdAF0VIGyTCuwZMJGtVUmJIoYAEYbGKXz4aFKmTTmvNjQ\nkj1hLlSkgdCqF1rDFEXV9RqFDYVF4SFf1l/FxYGFQDF2szilpyk8lm29c8oDM9+jirZhPp/LUgmP\numDJTWfFSk2MzAsRpcfAAcJD7vqVDLcttGMW9h4iRwFFCyFtwAkF6bRUyQb2VcDYbsIGVriEXIQZ\nLY1KJ6pW3hiD0piscDFRLyZZUM79T3tR5berXBcvXHyRu0qwGGgNoDAofMOqXJKnc1V8HkV2PKN6\ngovfWvxFVpv4jeuNeaxS5rksOcEi31PB0lT9tkmwRGKlwU1JZ8OVGhO9L4I1WuyTW0iwhM8pdyw6\nLeTwULQQ0gIUEMQDgMjtCNs4keBt+lLr2Um4WRdCxesBaBjA1HsSwV2TTdxVrou0KN+vALjxjKTr\nYoWLgvaJmb5ynNYoUsfFKFt1F0A1crNvfFVduPhb8M6GUpnluQchZ2Wvnvhdbi57bNWES/o+Q7AY\neU5/gjlipSZUGp2WevXdhUWLe14q9CiTOvSAAiQVmYTcIBQthLSAWn2URLQo0ZAoVdWU1WmOi2yw\nVCJQ0kYlGDm2xfFuiMytMYXNVbHCpartohQApd1hUtdFufwV1yxrAwMdOS7GixU/DdgQkS8Q53sK\nmeR6AUCKGWmvyLwY+SiyjoVcknFbgnCJt63lsTg9JoVK3P05Fi7y+I0iJjpvbptkTSKuFhUt/nOr\nnBbZ7dkg248jcrvSKaoWcngYZCSkBTQlwxYuPFMUhXh10Ck66BRFSJgVB5LZsmJ504lR29agGgJA\nlxplWUJrjVJM+1cpy/5rOzhjvnS/10dynW/ATexOhMY3udbU7XDiINuQ53eKHI/o3VT6LRzVH98L\nEzGP5HorweLupyZk/HNI7ltsG6aNXJfbJvN8TcOzz7zi4R28SEqepxFPSD5CsUhu54XmP/rlX8x8\nGoQsDp0WQtpA0BrOrXB5JCHnYxZl6Wq4zCDntES+hFxswiID58CUJVQQSdZxQaFQGBUa2rThjRtE\nExwduaxyXMQ7EBJzw235Gjai0ZRui8yHiW6twZ1IE3FNZofINYkckFR4CJGTcVeid8TOiHRY8rkz\neUxyY5WAEfdWnSW+Z4cuqsEWgrNmkDgu2ZM3iGCW8ieHh6KFkGOOQiVMfEOcVqatIRpTpWy3aGMM\nyrJMNkp7FckWp+HYmbCSAQCtbZ6KBorCJtUqaBhVLCRa5MvnUSAVLu5+EIWJYLcLAq66h6CDwiLf\nmGcSXKK8En97suUXy4zYIiMmgjCJphPHKLgj6XHy0/WwzmLCJTp/CEHF95umAQGwBQCTgnB2fCkr\nXNLvh5MyuQtBeGCMEJFDQtFCyDFHhYZDQf6rX+TCPGFLsV3IFQG6nQ7G4zEAwGS7eSzYRSQjdrxw\nMa5Cb1EU0EYD2nWZLRYXLZXLgtDd1gR3RQmnRYg5AzfIonddYsUiDCLELkb99mQ7mxMrldhw85Ex\nIwRJIlgigZK4LCY5YOqw5HJRUkcluQ2EMFLynOW5awnd7ikVsGHA1G2Rf6OTKTHR9GAJOSQULYQc\nc3IywjccyndFVfFvXO2ScVWhamKg01kGAAyGo2xDaGn0+GdekQESwVLAFpqDdUqEaPEhK1XLwUiF\nTFUnxJokPlyU6Ukk231VJdz6dlneVRoWqXaN1UoqVtKn5B0tP2nkPkbs4+67FhLKiZaMWMkJFCmS\nasvD83MCyo1RFc5lhDsiPtKqrk5VQ6epBH/qrKTfGnnv1CzkKKBoIaRFhAZBebFil1Y9elxlWhdi\nkUmbaXLlyrLCcDjM57vkRkkWvXBmGTIG7he6G83ZGA2tFZTSgLG5ENqY0HtIawOl7PV5AYMoPGRc\npVsXAhLhotjpkTVZ3Zw/llAukYuSufhIsmTEigzduEsU+zSIFeRdDilWcuIkDefIZzxr3u9biUQt\nPn9/br991dtKQUHD9fpSKgzKmaUxMpkPE9WFGSEHh6KFkGPMMx/7KDod+ytXNgNKZLrE3Z3tdFGo\nYOvnQi8A0Ol0oBQwHI7ml/8XDVyUAVvLdrXqxhhjmz7ti/Zrl4OjoZXt7iwb6XnhIWQFi0nCQ0bo\nKZX52Z9xj4yUI+I+pYBAtAjeBYlcFqF0amIFedGYC49FVxE9n+gCml0iuU1GrKY9jhKTxRYBdEvs\n96MKQea0S2MeS+JbUaqQo4KihZBjj3BVqp/EQqxUoyzDbSJ/HcvptNHsFAUUFIajEablFFHvmlgl\nxQtCvMU7GKq2jQ9FaKOhjILWNkwUclx8s1/UG1Tpuvh8FqSCBSobHgqX7nXLfHMo3HPWZUnEitzY\nixcj9xRixYeETNLd2D8f+Zlkk2TT0FEtlCW2jRYlz1PLZ6uhXcVkmafix48qio5dFpK9PWke08xH\nmTzIRNwRcoNQtBByzBHNSmTjV2JFbJUUoasfywkAR6foAMsKqlAYjcYYjydpvm90FRapaFRmWbWd\nNkChEYccoKGdawIgNKohRKQNjKq7LkqoDy9GmsJD8RLn/oS/1SUv5rKYmnCpuSxiVxki0kEo2DBZ\ncDj8cTIOWLgSvxxJWCUVKdLdCZtIseJr5LjaOa4LvK3pU2VHFUWBblcKmebv0aJIzWIy10nIQaFo\nIeQ4IxqrKiAEISzisJBvaBZubBSw1O+h1+ui3+thNB5jNBpjMp2mF4K6UJGTiUNjwkVBa+OSZ10D\nahSUNtC+Yq6xTklzL6I4XGQwKzxUjRLt1Y2IWsW3k0ybzCppGcx2WVIx5K9ZB5dF68R9SV/ytF7E\nGFNv7BtESjpflr7AXwntpqdlibIso2KESlWhoLjqMmpUckZejs8fqm+feTqEHAqKFkKOM7LlCOP5\neHlSz2dpdFr8T94khKPcjl2l0Ov10Ov1KvEyHmM69SEjFR+rSRN5dZCElqpQiD1AFH5xf0MExCmC\nfEOXuC3pJTnhUr9VF15qOmY6GV1LtbLJZZHXbmDDQbHLErspuTwTGfqJl+dEinxmlbAx2h3fiRUr\nXEqUWqOcliF3qXA9vIqiQK/Xi6stC9euhtCtSnwIjbktSXiIibjksLA8ISGEEEJaAZ0WQlqAT5KM\nK+PGSbh+ZGUFVf/V63v1IAnyRL+wgZXl5eC49Ho9jF24qOpdZPJxA7cKKptwEvIz3CQi70C4F5Vj\nUe1jxC/1ymWpQkR2B+HuGHmNBjOzcKWRIq5KOiyp25KGhqQLkuap6BAa0jVnJde7xx4jzXfRwpmK\nE3Rl+MifB0DlsJRVDov4kEKic7fbRadT2HGqigKFEl2ck2RuOeaVUkXN5qqeg48Pikcm3ChCDgNF\nCyHHGiMaXBVNyyTceDDFnK6o9QEJ3VmrniP2+P2ih163a0VLr4de14aLxuMxdK7hCW2VDw15wVIJ\nlyrHIxYu4QBRCMZEh5WNXpzTglozWU8Fbl4XX3x8OckaF7JBfQMpbNyNxaGgSnj5RNhZXZHtIar5\nstRZAWW8wDPy+AZa22EavFiJLjkJDfZ6UrC4ATY7IjlXpd+rWOBmH3Ty5AyS50jhQg4JRQshxxqZ\nXJtzWhCWpw1LioGNB8tf0qlgkT1GVjodK166vSBgvHiJ2p7ww1rFLkfkcFSJtq61TcSBiRs0n4Sa\nu4vUbQHQ2K85Ui2p+4Pk+MJlqW0gxZafr24gymkRzkflmNg8ljIRLlK8QIgWP2q2NjrjRKVOjIn2\ncY87Jrn3bqeDbqcbJ+QWaSKuipZF360kZ6mmTqJnWr2Y00IOC0ULIS2gEiZhSS3xdpZokYIlreES\nNVJRzxGFfr+PbreLbq+LXq8biRcAGE8m/nKqC5X2hz+5Eo2scAv8+qpRNoi1QuVY1ARLRqGEei2w\n55vdi8rk3pqXCeFStdH+foSoMVJc2OXeZfHCIlSozdRvKbWGLm3SbK6mC+ASebWuVzNW6cNHbV4B\n6HZjwVIU9e/OvO9V1U8rKy2rCeGUxQN2EnJwKFoIaQGhbUpERRwS8r+Cq7APMFuwSHclFSz+r+p0\nsNLpYKnfx2QywXgyCYMujsd2ejyZVHkvDe2l+61d9cBJQx7RfNwU1sJDoeeKb8yFWHE7+Pvx21sT\nKHV44qnculgXxKGhyjTyy5NcE2MiwSJrpcROS+WS6NDrRzgyyFxDtreOilcl5lKnU6Db6VaipZar\nUn0PCrcsXt4gApV8DlVOS2rA/I2P/Vx+f0IWhL2HCDnmmLRRdaGYmtOCeN6Ll0KpKAQgf10XKv6l\nbd8Lt48ND/hGq1MUWFrqY31tDZsbG/a1uYHNzU1sbW5iY30NK8vLTTdh32RIwy8OjV0mEbfxQMnj\nkOtT90E+PlPfR843hYbiRNJI0ogwkJhHdZ+xYKnmp+XUvqYTjMcTDIdD+xqNMZlMrePinanofhSe\n+YV/kA/HpLrCTXc6HfR7PfR71jkrEqGbCy/K9WF7d0zpctWn5UMWT5ahIXIE0Gkh5LjjQw1J81rl\ntDhnJQiXONm2KQSEsK3f308n569+OAe6XftPR8c5MKmT8PpbF+LLDCGbSriEkAoQCYRIl8iQkg8P\nScdF5LRIt2VhZENq4vdZoaEqLFQ5Q+Fwc1wWrW2uitY6P+4TkHwGCs/8wv/YsI17GLXqeRWdokAn\niFUVegr5wRCbQkBSzGQfbPq9yHxPopye3H0SckAoWghpASbbkCIsVE6t5H81A1Eoye8XCRkpWOq5\nIgou8pC5gKIoxHHs6/577sG0nOKtt99J7qOewxECR0l4KLrfKDwEqNBYz3xsIa8lmwNj0tup5Ei4\nkobQUBQWEuEhWXbfC5My47JMxhMMRqOGi4a9r9Ee/sMffA1lWeKZxjts+szsgYqik+SuVK8gXmaJ\nlvQ7kzk9jP3uSEcofLayJxRFCzkCKFoIOeZkohK1LaIm2dn6tutqYvej+tUsrf6qR0guvXU+RaGg\ntWjoCqAwBe44fQqj8RjbO7uhMc528fX3kbgs9RCRcFxU2BJ+8MQ4EVcYBAYZNyInWdIZkYMjVuR6\nB/mTyhotOZdlMBxWCczh2sS5r7wG6BKf+NZlGGNcVeI64/E4VLOtYRAJkyoM6MKCiYBJewkB6ffC\nLklDQ+IpBfHmw2TxczJMwiVHAnNaCDnuuJ/1IYySJGSYaLt4vcxJKJQNCYTkysIvyydjNr9m91qS\n5/CNor0Yf3ki70M0alnh4u4r9CBK7r+WOoGgdZIHVYVu4EM4tYNU7ybzkKtd47BQeg9xWCgWLju7\nu1awGABGA5MRMLhuhcql8/ZlSnzylSvhmM899xxy/A+//Ku4vr0TX6ejKJSrueJenTSHqcl1yeRF\nIfr4YlK3KQqPIQgYihZyVNBpIaQF5BphuyQOezRnNgDeZJG/pMMvZ/kLWroT8cmEG1OFb7Q/mnd4\nAOiigDImNIjRMXxII44OCQEmXJjkGfjwkJdx9Xv3F1k9Cdn1uX7UWKDEIY705v2biYSL/GxCvRQd\nh4bGk4l1my6dRw13qb/3ytVwjHoILc/rb13A1sYGlHPVCnefUoik72kSdro8ODeJg+PNKqOq3lup\nYAnZR8JFg3OjQg0ZQg4BRQshLcSbBnH4w00fIBm1yn9xOy6wb5raUgDQTrQURQGtNQrAjrjs3JZo\n59y0p6ZSclLNb6iqlVFxuZnSbcb50mX1nBYZ/ghhIREeSkNBxmgMBkPs7u8Bl17NXsLvna/Ein/3\n4uf3fu/3Zl7+25eu4N67t7Gxvoae68YMwAmQjnBZqnmlmsJEtudYHG6yz9Xm+hr7mTrhElYnoaGQ\n8CPuxYa5JiDksFC0EHLMMbUJVD97hS3SMM7uwlQJu+6IIclSGCQNIkJBoVDWdfHCxQsWpaTTktl7\ngYs20ZQQLKpaGvsr1emUkhPpceMjp8sQRErVFseNdBUesucztVeTYJHOinwHEGq5zGM4GuHVN97C\nufvuwdJSH2urqwCAbtZlUeGVS7DNPiKvBYNgMW7eO1d1wVK5T/J5AG+9c2nu/RAyD4oWQo4xUdl7\nuySzkW1YKmlwI9Klvo+K/zhRkO9CpFAAhUZhAK2dcAlhGbG9TAJe7DIOSRw0qq1qWFALDfmwUBIO\nCasT0SITcqVg+dT5a1mRIqfLskRZlvj0pz+90B1euHgJ3U4H62urOHPKCp2TW1vodDpxEq17KYRq\nKpFQUzXZ55Z6wRLm605LJVgQkpP9fXnH6Rd+5VcXuh9CZkHRQsgx5u/94j/A3//Znw7zsS9QNS4K\nc8TAYVEAjIJqqAdSADAooGFQKA3ttzKiZZ8bG2o470GQ7kviHBiT5sCYsF21jVhbCw0BiVYJy+tO\nC8JLChWIbePtK7emLMvGHkM5yrLE25cuY3tvF3uDQbiPO06fqoXmlNcu4kkYiAEoDdxnDMRdyn3P\nrEq4+H19To9/Dl6oAHBjVU3i3lKEHAL2HiLkmBN+vTasTJcfVrg0nSe7TolXZgf/a/6ZX/gHMw6e\n2/9AqxdG9FkS15N4DolwMXIzv5NJt60OZ/x5jMG/+n8+Hsrxy1GeffgnLe3vBctnP/vZA93XcDTC\n9e1dXHjnEi68cwmvvPYGLl+9htFo5MY6MvEzbO75HW5CirJYsRlxjzaUNZ2WmEz9EA8TXLpyFZeu\nXMWbb7+DV157Hf/qt3/3QPdDSBMULYQQQghpBQwPEXLcmdHt1WDWL4+j8SdyqarNG8V5DVprGFkJ\n9abFr5LLCWEOP1Biw3bJPtkthBFT5bTEO1ehJhnqqcIkfl36LsNCPiR0UJfFo7XGxB3j4uUrUErh\n1IktrK+tYmN9HadObGJ5aSnaJ07E9dWDM+vcH22q+xlPJhiNRhiOxhg6RwcABsMhLly8DAC4vrOD\nvf19fPKTn7yheyIkhaKFkGPOYDSCNgadooDpdsLyqjFesJ/yDZA2ztlQQtO+xmAymWI8kfkZcoeG\n5N9DUhcp+Tyc5pszSThOBEoScRbWh13jHBUvWnKCxb/77W5ErLzwwgv4yEc+Eub9+SbTKS5euYLt\n3V0s9W2vojOnTuD+e87i5Nam3Vg8JFnLRj6Paamxu7ePnd09jMaT8Az6vS4uXb2O3b09DAZDTMoy\npPHaLt77AKwQY1E5cpRQtBByzHn74mX0ul1sbqzj9KmTAGzvnG7HNhOmqVF2HLinjrE5mH56Lkl6\nSKjLUZa4fPXaoldzBMx4DukqMz8RFxnhYqcS8RJplkqw/Ivf+rfiuKZRsAA37q7MYjKZoiw1hqMx\n9vYHuL6zgyvXtvHoww/izjOnMS1LlNMS02lpi/Zpg+XlJWyurwEALly8jJfOv4qr17cxmUxhYFCo\nAt1uB91OB4PhyA3+aEIXd8AKFe3vccGu24QsCkULIcecf/q//e/4k9//fVhZXsa1HVu2/YF7zgJQ\n6HY7WFlZxnK/j36/f3RJarMclMwybQyMiQcH3NnZxcXLVw528CPDqZTwVvWQkYKlfj0mK1yqPFQp\nZmKHJbwZ+z6ZTGruRRoSeuGFFw5/p1mXJF4/LUuUgyGGozF29vZw15kz2B8MMByN7LpS2/GjjMGK\nCyHt7O1HPZ0CI1vLp6nrtjEmhASNMXML5BFyEChaCGkB17a3sTcYBNt9MByjUEDR6WBlaQnra6s4\ndWILJ7e2sLq6jI7qzDliHZcBgqZStVVDbapf0sYODDiZTFzjV7oeMsDFK1dx6erVxcu31057eFdG\n3o2J/9hlWZel7rg06ax6tKweGmriKAQLgEiwSCGREzLGGOzu7WN/8Drk05EjO4/Hk9pxk6NEtVjS\n8+ZcJUKOCooWQlqANtbu19o2Aq+/dQHdTieUYO/1ulhfXcWZUyfxwL1nsbqyjG63i6VeD/2lPnqq\n25yNCmBmaMWt1aVGqe2vctkgjycT7A+GGI1GmLjQQKco8Paly7hybRv/7+/8zpy7y+W2LCpYfGxK\nlvCXx6zJlmTXfE5LvCbOaam5LKgaae/GpI21MQaf+9znFryng5HmtaTnBerCxodzZn0l0ntoEkdy\nGUULudlQtBDSAmwl+riniRcOSimMxgX2B0Nc3d7BpStX0et1URQd9Ps9rK2s4PTJE7jrjtM4sbGB\njkjmrdVxh6oGxHNoozEajzEcjTEaOmHiRYtSGI1G2N0bYH84cD1gFHrdLi5dvRZ6s9zwTR8Gr1ca\n83AXy2kxyAsWU9unEix//Wf+Dv76z/ydQ97AjeO/K2GgSHGRqfhQStXem46Zm28SLgAYGiJHDkUL\nIS0iteFlo6S1xng8xsUrV+1ov6oaY2ap38fmxhruOnMaD953DwDg7J13YDyeQBuD0XiMQhUwMFjq\n99EpCvT7PSilcPXaNq7v7GB3bx+D0cgmbromu1sUGI0n2NsfYDgeQZf2F3y328He3j7KUoiW2WbO\njT0P954dd6hheZxgK49ip7OhIZPbtpqPnJZj4C4sEiYCkBUsuevP5ebk3v30cXgG5N0JRQshLSLX\n8yS3TekaIN/YDIY2fHP56rVQQ+O+s3dhd3+A0WiM6XQaxMZy3+bIbG2so9/v48LFS9je2cVgOMRk\nOkWptRVFqAZHHI7HKKdlcGC6nQ6mZRnCWQByySWHeBA4gACyJejrB1gwp6U6SlgUAkZpjkwmNHS7\nWESELOq05I4xq+7Mpz71qaO8FUICFC2EtIBZeQspqQPjp7Ux0NMSl67YHj3Xrm9X4seN+KsK5bpT\nd7G2soxer4edvX1MJhNoo2G8CFH+TVUl6cWv9+FoGErWZ69R/K0LmCNIwDVVcbn8OZARTya6LiOm\n6oIlPpd0Wn7yp299WMh/P1IHJZfT4llEoMwLFeUEC7s4k5sJRQshLWKW05Kz8HPixe82FY2LD6Og\nNChLO5bMaDSCck7KLPfAd3E1kI2Xnh0mmGdGqOzkbAziMf7gxcvsSzAms1CEhvKRoXjcoepYt9dl\nSfNVUrclnfbbNbks8z53eR4vXhcdnZqQG4FjDxHSQprs+jQRsmnbdHkuyVK7X825dbIehzEmESwm\nhIWeffbZA9yUmDhE229miIt4G+n0mMz2prY6eDBiGy3v+zaKlhdeeCErFGf15pnlmMxCChUpWOiy\nkJsNnRZCWkST0zLLxs+5LYuuT8+bm08bxXkNX9bhSJbZ3jr1MM1c3yVsEm9bP9f8nJY4hOWDR6bS\nLKaqV+LDZsYsWJPmJjHLPWlyW5qcllliN/2M/ejUzz///E27N0IAOi2EtIYXXnghSq6VNP3Cbppe\ntEE66HEXOUf9pOk1iMXGhJeYjLoh+9oo9XuRJ6i7KrHbYqejZeFcpury7M8l3SWtXThMzy0od7N5\n4YUXwvcE7vq0q1KcuiO5lw4VjXXj8nQbChZyK6HTQkgLaUqyzLkvB3FbFjlvep4mkdMsWnIWi5ww\nUjc0H8OoMEaSMnD1ZfxaBeV6DVW3Jq+5mo9EEvxYQnHybdpjqBYO847DbRYtOdLvSlEU0bqD5LM0\nuSwULORWQaeFkBbhf0kDzaEiySKJlPIY8xyY3H657Ywx9XwWk7zXzyKmmoSLcF3CWuGMwIkQIYIi\nhyZEnVK3RYR9EgenclqqfJemZ/c3P/Z3m27ulpJ+RwBE+SfSKUnfZ7kvOZflZgz2SEgTFC2EEEII\naQUULYS0FPmLF6i7IbNyUeYta8ppmXUuOZ/tRSKiDyZyVeL3aJuQz+JfsR8T57TIlWkvoPRVuSxV\nnkyctyJzZuLwUP2+/WdxnJC5LZ6m/JacC5O6MbkXXRZyq6FoIaSFSPs/18BIcsLjoEmzs8JDuXBC\nY9fXOIGkvnrOfHScNEkWlXhJBUl6TLk+Dg8JhTInPCTzWY6jaAGqbtCSNDnXT/suy6UYrXvWi4KF\n3A6YiEtIi8kl5PrS+r6n0bwk21mD6jW5NU25LL7xa2zQlMp4LLE4SYVGmtNijIFRCgYGymXiGiWm\nYavh2iRcf73pqESpcDmY02KM28JNl+XxEyweP7q0rKi8iFBt+g54wUzI7YCihZCWIku3a62DWAHq\nvUQ8i/QUyo1X05R8mwstTJtGdjamuTytFAhKnEcYM1YkiN5ABgfoPZQIpJrT4i9hEaelEj3H2WVJ\n8WLjIMNB5PYn5Hai5qjt2VKcEHJbSRsgL1aKooiclvTlt5X7pcfxNOW0+HcpWqbT6cywwTMf+ygA\nO6Bip9Ox01073Sk64dqLorqPTlgmXkpBue0AoFDufgt3j7D1/N2dIrzVcl5yTot3UQCfT1NVvdXQ\nWgi00g538Nc++rON93zc8d8hL2gpTsgxIfsLh04LIS1Gui3eIZFuS5PjAsSuS5MDs0gSrhQti+Y5\nzMmgQVTNNnNNRlknBTI8BFVtbK0XNxZRPY+mntMC4bT4RbJaS+W0pDk8bS9dT5FC2gQTcQlpOWkv\nkaZEy6ZeIblk2qZ1sxIzF2m8TQij5JJWDJrkTEgtSZJdwh5JKMdUC33ObkjATQWLCdvEyb1G7BSO\nIfNZYHvjvPjyK3PvmxByNFC0EPIuIO0lkhMYTeJknmCZJ1T89CJVUc+/8WalIvy1Ju8RUmlEgkU4\nWBqoQQAAC2VJREFUIN4NEUmzbhMxI0+QhoaqPJYo+TZxWqRY8Y7LhYuX8MWvfn3ufRNCjgaKFkLe\nJeTCO/Mcl8M4KzfS/fXFl16x+SGIJUGDtpBbBIyRQkI4J1GybZUsa9L/pbksWacFNaclCBuXyzKe\nTPCJz7yAT33qUwvdOyHk8DCnhZB3CU29Q3zeRS4RN5egK/dL81fSZVrrA+VEaK1x5dp1bG1soFMs\n24WdRJZ4EeHzVBCHh8J1ytQXL0BcF2dlVNWbyKRiLk6+TUWSVCyViDIw2mA8mWBvfx/Xd3bx5tvv\nYDQaL3zvhJDDQ9FCyLsMKV5kI+9rt3hkom4qXHK9hKT7cpjkzZfPfxv333sWd505DQDodDowhQjL\n5PoMeDtEXF9IxgXgOzsrIV5UGFCxLorsmxQoaW6M1y32vGWpsbu3j4tXruKdS5dx5dp1vP7WhVZ0\ndSbk3QRFCyHvUlLnZZaT4gVLTqzkjnkYLl+9Dm00jLbHvvfs3eh0OihMFcKJ1EsiZAyEA+MuLxSR\nc9sEp6XmslSho+CshBVxvorRGtq5VJevXsMbF97Gm29fxLXtHQyGw9bUZyHk3QRFCyHvcuYVFWuq\njipdmqPsFmtgcPX6DrR+AwCgigLn7rsHRaGgtAJUkhisrEwJ4SHbjzm6PmMSg8bVZAnhIsS5Mv46\npHAxcLVmSo1yOsVkWmIynWB7Zw/nX3sdb71zEbt7+5hMp8Fx+sxnPnNkz4UQMh8WlyOE3FK8eOq4\n+jFbW5t47KFzuPOO01jq99HtdkLxuaLooFP4QnJVYTlZQA+AFTxKhLkAV1yuwWkRXZh9V+3JdIrR\naIT94QiD4RDD4QiD4QjvXL6Mty9exnA0qhXS+/SnP30Lnhgh35GwuBwh5PhQutDK9s4Ozr/+BsbT\nCVZXVrC2uoL1tVWsLC2j27VipONyS8K4Q4k7ZMcWEmX8vdPi1YlSQXBYoWOTcUfjMfYHQwDAzt4e\ntnd2sbO7h739AQbDIQbDEfYG+xiPJ7VE5LYXlSOkjVC0EEJuK2WpcenqNUy1xsrSEtbXVrG5sY6t\njXVsbmxgfXXFuidOuGitgUIBGqGMv3bTRnV8/2VoYzCZTsNYSNOyRFlqFEqh0ykwmZa4dn0bV65d\nBwBc3d7Gzu4eBsMhJpNpCAOVZVlLSOYox4TcHlinhRBCCCGtgE4LIeS24N0L5UI32zu72N8fYHt3\nD1eubWNrYx2nT57A6ZNb2NzYQL/XhTYGRVHAaINut/rnq9/vQUGh1+tCKYXJdIrhaIzdvX3sDwaY\nTqcotYExPkRUoNQlLl2+ims7OwCA4XCIyXQKXdpeQ03XK8d3IoTcWihaCCG3hXS8JD8kwHQ6dbkm\nA2zv7mJ7dxd3nTmNXq9nt9MljEEYARoAut0ulpb6WOr3sdTv4er1bVy5to29/X2MxpMQJrKJugCg\nMJlOsLc/COEjrevdvGcNc0AIufWw9xAh5JaTdr9OC9z5V7fbwVJ/CZvra1ha6mM6LW13Zw1AQYiW\nDvq9PpaX+lhaWsKVa9ews7uH4WhcjRmkDbQxUMoKprKs11mZNaq17Dn07LPP3twHRAhh7yFCyPEk\nKs8vKEuNwXBQuSRFEYrAFW4asFV1oYClfh8KCqPxGGVD8bemH2q5gnq5oQzoshBy+6BoIYQcK+qi\nwuaopOMmSfFgu08r68SEARUPfq6c0+Kn/eu55547yO0QQo4Q9h4ihNxychV2myrz5tbX67TY0v9a\n64UES+5cs0JD/sWwECG3FzothJDbTlN4yK8DADmYYzqwox83SY6ftOh5m+aZfEvI8YNOCyHktjJr\nROmDhG/SZYued96x/cCILNlPyO2HTgsh5LaQDuTo3YyiyP+WSh2WRZ2Z3LqmZem0Fyx0WQg5HlC0\nEEJuOzK00yRcZOgnDQPJ8JA85rxzptulbo+vHcPRnAk5HlC0EEJuO2mOyizH5ShYJMzkBQsHRiTk\n+MDicoSQ205abA6wQiYtOueXy3m/TL7PoykHJh3FuSzLbE8nQshNh8XlCCHHl1x452Y4LvNqsQAI\nLgsh5HhBp4UQciyQbosUMN5V8eLlsE5LrreSXOcTb40xdFkIuX1k/2OmaCGEHBtkTyIA2ZDQYURL\nk7Mi5ylYCDkWULQQQo4/ufwWoC5c/LLcexNNNWE8Wms8//zzh7sBQshRkP2PmcXlCCGEENIK6LQQ\nQo4dH/nIR7IF5JqcllnTnnkuizGGLgshxweGhwgh7WFWmEi+p8ub5j1NwwQwh4WQYwVFCyGkfTSJ\nlyZy4qVpBGkKFUKOLRQthJD2Mku85Gq8zErKpVgh5NhD0UIIaTcHdV1SKFYIaQ0ULYQQQghpBezy\nTAghhJD2QtFCCCGEkFZA0UIIIYSQVkDRQgghhJBWQNFCCCGEkFZA0UIIIYSQVkDRQgghhJBWQNFC\nCCGEkFZA0UIIIYSQVkDRQgghhJBWQNFCCCGEkFZA0UIIIYSQVkDRQgghhJBWQNFCCCGEkFZA0UII\nIYSQVkDRQgghhJBWQNFCCCGEkFZA0UIIIYSQVkDRQgghhJBWQNFCCCGEkFZA0UIIIYSQVkDRQggh\nhJBWQNFCCCGEkFZA0UIIIYSQVkDRQgghhJBWQNFCCCGEkFZA0UIIIYSQVkDRQgghhJBWQNFCCCGE\nkFZA0UIIIYSQVkDRQgghhJBWQNFCCCGEkFZA0UIIIYSQVkDRQgghhJBWQNFCCCGEkFZA0UIIIYSQ\nVkDRQgghhJBWQNFCCCGEkFZA0UIIIYSQVkDRQgghhJBWQNFCCCGEkFZA0UIIIYSQVkDRQgghhJBW\nQNFCCCGEkFZA0UIIIYSQVkDRQgghhJBWQNFCCCGEkFZA0UIIIYSQVkDRQgghhJBWQNFCCCGEkFZA\n0UIIIYSQVkDRQgghhJBWQNFCCCGEkFZA0UIIIYSQVkDRQgghhJBWQNFCCCGEkFZA0UIIIYSQVkDR\nQgghhJBWQNFCCCGEkFZA0UIIIYSQVkDRQgghhJBWQNFCCCGEkFZA0UIIIYSQVkDRQgghhJBWQNFC\nCCGEkFZA0UIIIYSQVkDRQgghhJBWQNFCCCGEkFZA0UIIIYSQVkDRQgghhJBWQNFCCCGEkFZA0UII\nIYSQVkDRQgghhJBWQNFCCCGEkFZA0UIIIYSQVkDRQgghhJBWQNFCCCGEkFZA0UIIIYSQVkDRQggh\nhJBWQNFCCCGEkFZA0UIIIYSQVkDRQgghhJBWQNFCCCGEkFZA0UIIIYSQVkDRQgghhJBWQNFCCCGE\nkFZA0UIIIYSQVkDRQgghhJBWQNFCCCGEkFZA0UIIIYSQVkDRQgghhJBWQNFCCCGEkFZA0UIIIYSQ\nVkDRQgghhJBWQNFCCCGEkFZA0UIIIYSQVkDRQgghhJBWQNFCCCGEkFZA0UIIIYSQVkDRQgghhJBW\nQNFCCCGEkFZA0UIIIYSQVkDRQgghhJBWQNFCCCGEkFZA0UIIIYSQVkDRQgghhJBWQNFCCCGEkFZA\n0UIIIYSQVkDRQgghhJBWQNFCCCGEkFZA0UIIIYSQVkDRQgghhJBWQNFCCCGEkFZA0UIIIYSQVkDR\nQgghhJBWQNFCCCGEkFZA0UIIIYSQVkDRQgghhJBWQNFCCCGEkFZA0UIIIYSQVkDRQgghhJBWQNFC\nCCGEkFZA0UIIIYSQVkDRQgghhJBWQNFCCCGEkFZA0UIIIYSQVkDRQgghhJBWQNFCCCGEkFZA0UII\nIYSQVkDRQgghhJBWQNFCCCGEkFZA0UIIIYSQVkDRQgghhJBWQNFCCCGEkFZA0UIIIYSQVkDRQggh\nhJBWQNFCCCGEkFbQnbNe3ZKrIIQQQgiZA50WQgghhLQCihZCCCGEtAKKFkIIIYS0AooWQgghhLQC\nihZCCCGEtAKKFkIIIYS0gv8fMtsHdK1wIjwAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 10))\n",
    "plt.imshow(images[0, ..., :3].cpu().numpy())\n",
    "plt.grid(\"off\")\n",
    "plt.axis(\"off\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "17c4xmtyfBMH"
   },
   "source": [
    "## 6. Batched Rendering\n",
    "\n",
    "One of the core design choices of the PyTorch3d API is to suport **batched inputs for all components**. \n",
    "The renderer and associated components can take batched inputs and **render a batch of output images in one forward pass**. We will now use this feature to render the mesh from many different viewpoints.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 0,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "collapsed": true,
    "id": "CDQKebNNfBMI"
   },
   "outputs": [],
   "source": [
    "# Set batch size - this is the number of different viewpoints from which we want to render the mesh.\n",
    "batch_size = 20\n",
    "\n",
    "# Create a batch of meshes by repeating the cow mesh and associated textures. \n",
    "# Meshes has a useful `extend` method which allows us do this very easily. \n",
    "# This also extends the textures. \n",
    "meshes = mesh.extend(batch_size)\n",
    "\n",
    "# Get a batch of viewing angles. \n",
    "elev = torch.linspace(0, 360, batch_size)\n",
    "azim = torch.linspace(0, 360, batch_size)\n",
    "\n",
    "# All the cameras helper methods support mixed type inputs and broadcasting. So we can \n",
    "# view the camera from the same distance and specify dist=2.7 as a float,\n",
    "# and then specify elevation and azimuth angles for each viewpoint as tensors. \n",
    "R, T = look_at_view_transform(dist=2.7, elev=elev, azim=azim)\n",
    "cameras = OpenGLPerspectiveCameras(device=device, R=R, T=T)\n",
    "\n",
    "# Move the light back in front of the object\n",
    "lights.location = torch.tensor([[1.0, 1.0, -5.0]], device=device)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 0,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "collapsed": true,
    "id": "gyYJCwEDfBML"
   },
   "outputs": [],
   "source": [
    "# We can pass arbirary keyword arguments to the rasterizer/shader via the renderer\n",
    "# so the renderer does not need to be reinitialized if any of the settings change.\n",
    "images = renderer(meshes, cameras=cameras, lights=lights)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 679
    },
    "colab_type": "code",
    "id": "Vh2LiezEfBMO",
    "outputId": "c9ce0577-d22e-434a-8726-320b3806aa05"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ACkHT2nzVBhjx4MHf/MaUmgMwfvx4fPRjHzczuBwQmkNwBcE57vzW6TjyG1et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\nkzK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XmbpFFl/P7mRXZGi9oRtvyM6qbr90CfbefSXe8OpXmJuxpIHmEpGWt+aC31opqPyS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\nY8xjOeL+++/HRRddZCelz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      "text/plain": [
       "<Figure size 1080x648 with 20 Axes>"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "image_grid(images.cpu().numpy(), rows=4, cols=5, rgb=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "t3qphI1ElUb5"
   },
   "source": [
    "## 7. Conclusion\n",
    "In this tutorial we learnt how to **load** a textured mesh from an obj file, initialize a PyTorch3d datastructure called **Meshes**, set up an **Renderer** consisting of a **Rasterizer** and a **Shader**, and modify several components of the rendering pipeline. "
   ]
  }
 ],
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