{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "9c111917-c842-4ba3-9220-793cf43a5dd7",
   "metadata": {},
   "source": [
    "# Geometry transformations\n",
    "\n",
    "Tidy3D has a rich set of classes and functions for the creation of complex geometries. The set of primitive solids supported is:\n",
    "\n",
    "- [Box](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.Box.html): rectangular prism.\n",
    "\n",
    "- [Sphere](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.Sphere.html): regular sphere.\n",
    "\n",
    "- [Cylinder](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.Cylinder.html): cylinder with optional angled sidewalls along the main axis.\n",
    "\n",
    "- [PolySlab](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.PolySlab.html): polygon extruded along its normal axis with optional angled sidewalls.\n",
    "\n",
    "- [TriangleMesh](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.TriangleMesh.html): general polyhedra defined by triangular faces in 3D.\n",
    "\n",
    "To create more complex geometries, these primitives can be transformed and combined using the derived classes:\n",
    "\n",
    "- [Transformed](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.Transformed.html): representation of a transformation applied to a base geometry.\n",
    "\n",
    "- [GeometryGroup](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.GeometryGroup.html): union of a set of geometric objects.\n",
    "\n",
    "- [ClipOperation](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.ClipOperation.html): set operation between other geometric objects (equivalent to boolean operations).\n",
    "\n",
    "This notebook shows a few examples of geometry transformations that can be useful when creating complex simulations."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "817bfafa-7554-4a82-8081-50a522973dc4",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import tidy3d as td\n",
    "from matplotlib import pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "79185fc8-8f88-4653-b269-6044738c1214",
   "metadata": {},
   "source": [
    "## Simple Transformations\n",
    "\n",
    "All geometries can be translated, rotated and scaled.\n",
    "These methods create a new copy of the original geometry with the transformation applied.\n",
    "For example, we can start with a `Box` centered at the origin and create a copy of it rotated around the z axis:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "94c0fbc4-64b6-4bec-b0c2-fd101ab6299b",
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "box = td.Box(size=(2, 1, 1))\n",
    "\n",
    "rotated_box = box.rotated(np.pi / 6, axis=2)\n",
    "\n",
    "_ = rotated_box.plot(z=0)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8f89242d-1643-4626-a7a7-f4eecffdd0f1",
   "metadata": {},
   "source": [
    "Transformed geometries can be further transformed.\n",
    "Composing transformations is as simple as cascading the method calls.\n",
    "In this example, we create an ellipsoidal prism by scaling a primitive cylinder and then rotating it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "ed6446da-915a-405d-a3c0-d153807f1d7f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ellipsoid = (\n",
    "    td.Cylinder(radius=0.5, length=0.5, axis=1).scaled(x=2, y=1, z=1).rotated(np.pi / 4, axis=1)\n",
    ")\n",
    "\n",
    "_ = ellipsoid.plot(y=0)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b3789cee-5e62-42f9-b760-2dae56e511d4",
   "metadata": {},
   "source": [
    "By composing rotations and translations, we can create a cylindrical array of boxes.\n",
    "In this example, we're also using the `GeometryGroup` class to group the individual geometries into a single object.\n",
    "That group can also be used as any other geometrical object and freely transformed."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "18b75d3b-15f7-4815-a750-3e70c16b9ad2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mark = td.Box(center=(1, 0, 0), size=(1, 0.2, 0.1))\n",
    "\n",
    "cylindrical_array = []\n",
    "\n",
    "for angle in np.linspace(0, 2 * np.pi, 7, endpoint=False):\n",
    "    cylindrical_array.append(mark.rotated(angle, axis=2))\n",
    "\n",
    "marks = td.GeometryGroup(geometries=cylindrical_array)\n",
    "\n",
    "_ = marks.plot(z=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "b5d7e87f-0ad6-4e59-8306-562dc0819957",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "transformed_marks = []\n",
    "\n",
    "for i in range(4):\n",
    "    s = 1 + i / 10\n",
    "    transformed_marks.append(\n",
    "        marks.scaled(s, s, s).rotated(i * np.pi / 3, axis=2).translated(i * (4 + i / 10), 0, 0)\n",
    "    )\n",
    "\n",
    "stars = td.GeometryGroup(geometries=transformed_marks)\n",
    "\n",
    "_ = stars.plot(z=0)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e88c2dea-52a1-4b52-b01c-61ecf72e5699",
   "metadata": {},
   "source": [
    "## General Transformations\n",
    "\n",
    "The type of the objects created by geometry transformations is `Transformed`.\n",
    "We can check that easily:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "25e762ac-d7ec-4a5b-98f4-13aa6697b659",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tidy3d.components.geometry.base.Transformed"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "type(rotated_box)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4033fdd5-0af6-4827-a485-1e6540bc97c3",
   "metadata": {},
   "source": [
    "A `Transformed` object contains an inner geometry and a transformation, written as a [4×4 matrix](https://en.wikipedia.org/wiki/Transformation_matrix) and applied to the (homogeneous) coordinates of the inner geometry.\n",
    "It is possible to define a `Transformed` object directly from the inner geometry and the transformation.\n",
    "To help create the most usual transformation matrices, the `Transformed` class has 3 static methods for `translation`, `rotation`, and `scaling` that can be used and combined (the `@` operator can be used for matrix multiplication with numpy arrays)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "1435904b-fefe-4adb-998b-371211a65b00",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Rotation matrix:\n",
      "\n",
      " [[ 0.66666667 -0.33333333  0.66666667  0.        ]\n",
      " [ 0.66666667  0.66666667 -0.33333333  0.        ]\n",
      " [-0.33333333  0.66666667  0.66666667  0.        ]\n",
      " [ 0.          0.          0.          1.        ]]\n",
      "\n",
      "Translation and rotation matrices combined:\n",
      "\n",
      " [[ 0.66666667 -0.33333333  0.66666667  1.        ]\n",
      " [ 0.66666667  0.66666667 -0.33333333  2.        ]\n",
      " [-0.33333333  0.66666667  0.66666667  0.        ]\n",
      " [ 0.          0.          0.          1.        ]]\n"
     ]
    }
   ],
   "source": [
    "rot = td.Transformed.rotation(np.pi / 3, axis=(1, 1, 1))\n",
    "trans = td.Transformed.translation(1, 2, 0)\n",
    "scale = td.Transformed.scaling(1, 1.25, 1)\n",
    "\n",
    "print(\"Rotation matrix:\\n\\n\", rot)\n",
    "\n",
    "print(\"\\nTranslation and rotation matrices combined:\\n\\n\", trans @ rot)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "47069a44-afe2-44ad-8f1f-e66732c4763a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# The box is first rotated, then translated, and finally scaled\n",
    "transformed = td.Transformed(geometry=td.Box(size=(1, 1, 1)), transform=scale @ trans @ rot)\n",
    "\n",
    "fig, ax = plt.subplots(1, 2, figsize=(10, 4), tight_layout=True)\n",
    "_ = transformed.plot(y=2.5, ax=ax[0])\n",
    "_ = transformed.plot(x=1, ax=ax[1])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0657d31c-c1ad-43d5-8be7-7a8c2a7f4e2e",
   "metadata": {},
   "source": [
    "Of course, transformations can be defined in any way.\n",
    "The only requirement is that the transformation matrix is not singular."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "339df698-af18-4071-ad60-75f84efbb123",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "transformed = td.Transformed(\n",
    "    geometry=td.Box(size=(1, 1, 1)),\n",
    "    transform=[\n",
    "        [1.2, 0.4, 0.3, -0.9],\n",
    "        [-0.2, 1.1, 0.1, 1.0],\n",
    "        [-0.5, -1.2, 0.8, 0.3],\n",
    "        [0.1, -0.2, -0.6, 1.1],\n",
    "    ],\n",
    ")\n",
    "\n",
    "fig, ax = plt.subplots(1, 3, figsize=(12, 4), tight_layout=True)\n",
    "\n",
    "_ = transformed.plot(x=-0.5, ax=ax[0])\n",
    "_ = transformed.plot(y=0.5, ax=ax[1])\n",
    "_ = transformed.plot(z=0.5, ax=ax[2])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6c144582-376d-4ef7-a99e-73c35be1039b",
   "metadata": {},
   "source": [
    "## Clip Operations\n",
    "\n",
    "Geometries can be combined through clip operations, which are analogous to set or boolean operations.\n",
    "Union (or), intersection (and), difference (and not), and symmetric difference (xor) are available to use with Tidy3D geometry objects.\n",
    "These operations can be simply written using the expected mathematical operations for each:\n",
    "\n",
    "- Union: `a + b`\n",
    "- Intersection: `a * b`\n",
    "- Difference: `a - b`\n",
    "- Symmetric difference: `a ^ b`\n",
    "\n",
    "As an example, a half-sphere can be created by intersecting a sphere and a box primitives:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "d1a9d10f-2ac6-49d1-8f49-5f5440f8133d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sph = td.Sphere(radius=1)\n",
    "box = td.Box(center=(0, 0, 1), size=(2, 2, 2))\n",
    "half_sph = sph * box\n",
    "\n",
    "fig, ax = plt.subplots(1, 2, figsize=(10, 4), tight_layout=True)\n",
    "\n",
    "_ = half_sph.plot(x=0, ax=ax[0])\n",
    "_ = half_sph.plot(y=0, ax=ax[1])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "83b75c6a-c432-444b-aad6-016b5927f797",
   "metadata": {},
   "source": [
    "A ring shape can be created by subtracting 2 cylinders of appropriate diameters:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "b15afb04-703a-4eff-8932-4a52d15e15fc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cyl = td.Cylinder(radius=0.5, length=0.2)\n",
    "inner_cyl = td.Cylinder(radius=0.3, length=0.2)\n",
    "\n",
    "ring = cyl - inner_cyl\n",
    "\n",
    "fig, ax = plt.subplots(1, 2, figsize=(10, 4), tight_layout=True)\n",
    "\n",
    "_ = ring.plot(z=0, ax=ax[0])\n",
    "_ = ring.plot(x=0, ax=ax[1])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4eb21132-3ebe-42c6-a83f-6af9a9a3dfb2",
   "metadata": {},
   "source": [
    "The `ClipOperation` class can be used directly to perform the same operations, if desired:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "645fd083-80a3-4849-8fdc-485cc896c007",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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q1XyzF7afXq8Xc+fOFQ0bNhQqlUq4uLiIwMBAMXPmTKHRaLK1Xb16tWjevLmpXfv27cW+fftMj8fGxoqePXsKBwcHAcB0q6gXbw/1zKZNm0zbc3V1FYMHDxb379/P1mb48OHCzs4ux/imT58uCvNP9fjx4+Lll18WNjY2wsfHR/zrX/8Se/bsyZEnJSVFvP3228LZ2VkAyPdWUe3bt8/zVk/Tp08vMFNBDAaDmDNnjqhRo4ZQKpWiYcOGYt26dTnaPbt11q1bt7KtT0xMFKNGjRJVqlQRtra2on379nn+jm7btk00a9ZMqFQqUa1aNTF16lSh1+tLPAYiIiIiqnhkQhQwt5aIiIiIiIioEuE5ykRERERERETPYaFMRERERERE9BwWykRERERERETPsbhCeenSpfDz84NarUZwcDAiIyPzbb948WLUr18fNjY28PX1xUcffYSMjIxySktERERERESWxqIK5We3tJk+fTrOnj2Lpk2bomvXroiPj8+1/YYNGzB58mRMnz4dUVFRWLVqFTZt2oRPP/20nJMTERERERGRpbCoq14HBwejRYsWWLJkCQDAaDTC19cXEydOxOTJk3O0nzBhAqKionDgwAHTukmTJuHkyZM4duxYueUmIiIiIiIiy2EldYDC0uv1OHPmDKZMmWJaJ5fLERISgoiIiFz7tG7dGuvWrUNkZCRatmyJmzdv4rfffsPQoUPz3I9Op4NOpzP9bDQakZiYiCpVqkAmk5XegIiIypgQAsnJyfDx8YFcblETiIiIiIgkZTGFckJCAgwGAzw9PbOt9/T0RHR0dK593n77bSQkJKBt27YQQiArKwtjx47Nd+p1WFgYZs6cWarZiYikdO/ePVSrVk3qGEREREQWw2IK5eI4fPgw5syZg2XLliE4OBjXr1/HBx98gNmzZ+Pzzz/Ptc+UKVMQGhpq+lmj0aB69eq4d+8eHB0dyys6EVGJabVa+Pr6wsHBQeooRERERBbFYgplNzc3KBQKxMXFZVsfFxcHLy+vXPt8/vnnGDp0KN555x0AQOPGjZGamooxY8bgs88+y3UqokqlgkqlyrHe0dGRhTIRWSSeNkJERERUNBZz0ppSqURgYGC2C3MZjUYcOHAArVq1yrVPWlpajmJYoVAAeHruHhEREREREdGLLOaIMgCEhoZi+PDhCAoKQsuWLbF48WKkpqZi5MiRAIBhw4ahatWqCAsLAwD06tULCxcuRPPmzU1Trz///HP06tXLVDATERERERERPc+iCuUBAwbg0aNHmDZtGmJjY9GsWTOEh4ebLvB19+7dbEeQp06dCplMhqlTpyImJgbu7u7o1asXvvjiC6mGQERERERERGbOou6jLAWtVgsnJydoNBqeo0xEFoXvX0RERETFYzHnKBMRERERERGVBxbKRERERERERM9hoUxERERERET0HBbKRERERERERM9hoUxERERERET0HBbKRERERERERM9hoUxEREREFd7hw4chk8lw+PBhqaMQkQVgoUxEREREFcayZcuwZs0aqWMUy4YNG7B48WKpY2SzatUqNGjQAGq1GnXr1sU333xT6L46nQ6ffPIJfHx8YGNjg+DgYOzbty/Xtn/++Sfatm0LW1tbeHl54f3330dKSkppDYOoyFgoExEREVGFkVeh/MorryA9PR2vvPJK+YcqJHMrlP/73//inXfeQcOGDfHNN9+gVatWeP/99zF37txC9R8xYgQWLlyIwYMH46uvvoJCoUCPHj1w7NixbO3Onz+PTp06IS0tDQsXLsQ777yDFStWoH///mUxLKJCkQkhhNQhzJlWq4WTkxM0Gg0cHR2ljkNEVGh8/yKqvFJTU2FnZyd1DEk0atQIbm5uFjnF+rXXXsPFixdx+/ZtqaMgPT0dvr6+ePnll7Fr1y7T+iFDhmD79u24d+8eXFxc8uwfGRmJ4OBgzJs3Dx9//DEAICMjA40aNYKHhwf+/PNPU9sePXrg/PnziI6ONn1efffddxg9ejT27NmDLl26lNEoifLGI8pEREREZiwmJgajRo2Cj48PVCoVatasiXHjxkGv1wMA1qxZA5lMhj/++APvvfcePDw8UK1aNVP/ZcuWoWHDhlCpVPDx8cH48eORlJSUbR/Xrl1Dv3794OXlBbVajWrVqmHgwIHQaDSmNvv27UPbtm3h7OwMe3t71K9fH59++mmB+QvTT6fTYfr06ahTpw5UKhV8fX3xr3/9CzqdLsf21q1bh5YtW8LW1hYuLi545ZVXsHfvXgCAn58fLl26hD/++AMymQwymQwdOnQAkPc5ylu2bEFgYCBsbGzg5uaGIUOGICYmJlubESNGwN7eHjExMejTpw/s7e3h7u6Ojz/+GAaDocDnYMeOHejZs6fpNaxduzZmz56drW+HDh2we/du3Llzx5Tdz88vz21+//33kMlkWL16dbb1c+bMgUwmw2+//VZgrvwcOnQIjx8/xnvvvZdt/fjx45Gamordu3fn23/r1q1QKBQYM2aMaZ1arcaoUaMQERGBe/fuAXj6pe6+ffswZMiQbF/qDhs2DPb29ti8eXOJxkFUXFZSByAiIiKi3D148AAtW7ZEUlISxowZA39/f8TExGDr1q1IS0uDUqk0tX3vvffg7u6OadOmITU1FQAwY8YMzJw5EyEhIRg3bhyuXLmCb7/9FqdOncLx48dhbW0NvV6Prl27QqfTYeLEifDy8kJMTAx27dqFpKQkODk54dKlS3jttdfQpEkTzJo1CyqVCtevX8fx48fzzV+YfkajEb1798axY8cwZswYNGjQABcuXMCiRYtw9epVbN++3dR25syZmDFjBlq3bo1Zs2ZBqVTi5MmTOHjwILp06YLFixdj4sSJsLe3x2effQYA8PT0zDPfmjVrMHLkSLRo0QJhYWGIi4vDV199hePHj+PcuXNwdnY2tTUYDOjatSuCg4Mxf/587N+/HwsWLEDt2rUxbty4fJ+HNWvWwN7eHqGhobC3t8fBgwcxbdo0aLVazJs3DwDw2WefQaPR4P79+1i0aBEAwN7ePs9tjhw5Er/88gtCQ0PRuXNn+Pr64sKFC5g5cyZGjRqFHj16mNo+efKkUAW9ra0tbG1tAQDnzp0DAAQFBWVrExgYCLlcjnPnzmHIkCF5buvcuXOoV69ejhlNLVu2BPB0uvWzzFlZWTn2o1Qq0axZM1MOonInKF8ajUYAEBqNRuooRERFwvcvIss3bNgwIZfLxalTp3I8ZjQahRBCfP/99wKAaNu2rcjKyjI9Hh8fL5RKpejSpYswGAym9UuWLBEAxOrVq4UQQpw7d04AEFu2bMkzx6JFiwQA8ejRoyLlL0y/H3/8UcjlcnH06NFs65cvXy4AiOPHjwshhLh27ZqQy+Wib9++2cYjxP+eCyGEaNiwoWjfvn2O/Rw6dEgAEIcOHRJCCKHX64WHh4do1KiRSE9PN7XbtWuXACCmTZtmWjd8+HABQMyaNSvbNps3by4CAwPzfxKEEGlpaTnWvfvuu8LW1lZkZGSY1vXs2VPUqFGjwO098/DhQ+Hq6io6d+4sdDqdaN68uahevXqO9/0aNWoIAAUu06dPN/UZP368UCgUue7X3d1dDBw4MN9sDRs2FB07dsyx/tKlSwKAWL58uRBCiC1btggA4siRIzna9u/fX3h5eRX0NBCVCU69JiIiIjJDRqMR27dvR69evXIcbQMAmUyW7efRo0dDoVCYft6/fz/0ej0+/PBDyOXybO0cHR1NU2ednJwAAHv27EFaWlquWZ4dWd2xYweMRmOhx1CYflu2bEGDBg3g7++PhIQE09KxY0cAT6cAA8D27dthNBoxbdq0bOMBcj4XhXH69GnEx8fjvffeg1qtNq3v2bMn/P39c51aPHbs2Gw/t2vXDjdv3ixwXzY2Nqb/T05ORkJCAtq1a4e0tDRER0cXOfszXl5eWLp0Kfbt24d27drh/PnzWL16dY6juOvXr8e+ffsKXIYNG2bqk56enm3GwvPUajXS09PzzZaeng6VSpVr32ePP//fvNoWtB+issKp10RERERm6NGjR9BqtWjUqFGh2tesWTPbz3fu3AEA1K9fP9t6pVKJWrVqmR6vWbMmQkNDsXDhQqxfvx7t2rVD7969MWTIEFMRPWDAAHz33Xd45513MHnyZHTq1AlvvPEG3nzzzRxF6/MK0+/atWuIioqCu7t7rtuIj48HANy4cQNyuRwBAQGFej4KktfzAwD+/v45rsysVqtzZHRxccGTJ08K3NelS5cwdepUHDx4EFqtNttjz58HXhwDBw7EunXrsHv3bowZMwadOnXK0aZNmzZF3q6NjY3pPPgXZWRkZCv+8+qf2znmGRkZpsef/29ebQvaD1FZYaFMREREVAGUpKBYsGABRowYgR07dmDv3r14//33ERYWhhMnTqBatWqwsbHBkSNHcOjQIezevRvh4eHYtGkTOnbsiL1792Y7kv1ipoL6GY1GNG7cGAsXLsx1G76+vsUeV2nKa4wFSUpKQvv27eHo6IhZs2ahdu3aUKvVOHv2LD755JMiHaHPzePHj3H69GkAwOXLl2E0GnN8efHo0aNCnaNsb29vOi/a29sbBoMB8fHx8PDwMLXR6/V4/PgxfHx88t2Wt7d3jouiAcDDhw8BwNTf29s72/oX2xa0H6KywqnXRERERGbI3d0djo6OuHjxYrH616hRAwBw5cqVbOv1ej1u3bplevyZxo0bY+rUqThy5AiOHj2KmJgYLF++3PS4XC5Hp06dsHDhQly+fBlffPEFDh48aJoanZeC+tWuXRuJiYno1KkTQkJCcizPjvjWrl0bRqMRly9fznd/hZ2Gndfz82zdi89PcR0+fBiPHz/GmjVr8MEHH+C1115DSEhIrrdWKs4U8vHjxyM5ORlhYWE4duxYrvdhbtGiBby9vQtc5s+fb+rTrFkzADAV4c+cPn0aRqPR9HhemjVrhqtXr+Y4gn7y5Mls22/UqBGsrKxy7Eev1+P8+fMF7oeorLBQJiIiIjJDcrkcffr0wa+//pqjiAAAIUS+/UNCQqBUKvH1119na7tq1SpoNBr07NkTwNPb82RlZWXr27hxY8jlctN02MTExBzbf1bA5DZl9pnC9HvrrbcQExODlStX5mibnp5uuoJ3nz59IJfLMWvWrBxHYZ8fn52dXY7bX+UmKCgIHh4eWL58ebYx/P7774iKijI9PyX17Ej08xn1ej2WLVuWo62dnV2RpmJv3boVmzZtwpdffonJkydj4MCBmDp1Kq5evZqtXXHOUe7YsSNcXV3x7bffZtvWt99+C1tb22zPT0JCAqKjo7Od4/7mm2/CYDBgxYoVpnU6nQ7ff/89goODTTMFnJycEBISgnXr1iE5OdnU9scff0RKSgr69+9f6OeDqDRx6jURERGRmZozZw727t2L9u3bm26d9PDhQ2zZsgXHjh3LdvuiF7m7u2PKlCmYOXMmunXrht69e+PKlStYtmwZWrRoYbq1z8GDBzFhwgT0798f9erVQ1ZWFn788UcoFAr069cPADBr1iwcOXIEPXv2RI0aNRAfH49ly5ahWrVqaNu2bZ4ZCtNv6NCh2Lx5M8aOHYtDhw6hTZs2MBgMiI6OxubNm7Fnzx4EBQWhTp06+OyzzzB79my0a9cOb7zxBlQqFU6dOgUfHx+EhYUBeHr7om+//Rb//ve/UadOHXh4eJguDPY8a2trzJ07FyNHjkT79u0xaNAg0+2h/Pz88NFHHxX3ZcumdevWcHFxwfDhw/H+++9DJpPhxx9/zPWLjsDAQGzatAmhoaFo0aIF7O3t0atXr1y3Gx8fj3HjxuHVV1/FhAkTAABLlizBoUOHMGLECBw7dsw0Bbu45yjPnj0b48ePR//+/dG1a1ccPXoU69atwxdffAFXV1dT2yVLlmDmzJk4dOiQ6b7VwcHB6N+/P6ZMmYL4+HjUqVMHa9euxe3bt7Fq1aps+/riiy/QunVr0+/5/fv3sWDBAnTp0gXdunUrcnaiUiHpNbctAG+vQkSWiu9fRBXDnTt3xLBhw4S7u7tQqVSiVq1aYvz48UKn0wkh/nd7qNxuISXE09tB+fv7C2tra+Hp6SnGjRsnnjx5Ynr85s2b4h//+IeoXbu2UKvVwtXVVbz66qti//79pjYHDhwQr7/+uvDx8RFKpVL4+PiIQYMGiatXr+abvbD99Hq9mDt3rmjYsKFQqVTCxcVFBAYGipkzZ+Z4D1u9erVo3ry5qV379u3Fvn37TI/HxsaKnj17CgcHBwHAdKuoF28P9cymTZtM23N1dRWDBw8W9+/fz9Zm+PDhws7OLsf4pk+fLgrz5/Tx48fFyy+/LGxsbISPj4/417/+Jfbs2ZMjT0pKinj77beFs7OzAJDvraLeeOMN4eDgIG7fvp1t/Y4dOwQAMXfu3AJzFcaKFStE/fr1hVKpFLVr1xaLFi3KdjsuIf73PLz43Kanp4uPP/5YeHl5CZVKJVq0aCHCw8Nz3c/Ro0dF69athVqtFu7u7mL8+PFCq9WWyhiIikMmRAHzdio5rVYLJycnaDSaHJfaJyIyZ3z/IiIiIioenqNMRERERERE9BwWykRERERERETPYaFMRERERERE9BwWykRERACWLl0KPz8/qNVqBAcHIzIyslD9Nm7cCJlMhj59+pRtQCIiIio3LJSJiKjSe3Y7lunTp+Ps2bNo2rQpunbtivj4+Hz73b59Gx9//DHatWtXTkmJiIioPLBQJiKiSm/hwoUYPXo0Ro4ciYCAACxfvhy2trZYvXp1nn0MBgMGDx6MmTNnolatWuWYloiIiMqaldQBimrp0qWYN28eYmNj0bRpU3zzzTdo2bJlnu2TkpLw2Wef4ZdffkFiYiJq1KiBxYsXo0ePHuWYmoiIzJVer8eZM2cwZcoU0zq5XI6QkBBERETk2W/WrFnw8PDAqFGjcPTo0QL3o9PpoNPpTD8bjUYkJiaiSpUqkMlkJRsEERFRJSWEQHJyMnx8fCCXl95xYIsqlJ9NjVu+fDmCg4OxePFidO3aFVeuXIGHh0eO9nq9Hp07d4aHhwe2bt2KqlWr4s6dO3B2di7/8EREZJYSEhJgMBjg6emZbb2npyeio6Nz7XPs2DGsWrUK58+fL/R+wsLCMHPmzJJEJSIiojzcu3cP1apVK7XtWVSh/PzUOABYvnw5du/ejdWrV2Py5Mk52q9evRqJiYn4888/YW1tDQDw8/Mrz8hERFTBJCcnY+jQoVi5ciXc3NwK3W/KlCkIDQ01/azRaFC9enXcu3cPjo6OZRGViIiowtNqtfD19YWDg0OpbtdiCuXiTI3buXMnWrVqhfHjx2PHjh1wd3fH22+/jU8++QQKhSLXPi9OjdNqtaU7ECIiMitubm5QKBSIi4vLtj4uLg5eXl452t+4cQO3b99Gr169TOuMRiMAwMrKCleuXEHt2rVz9FOpVFCpVDnWOzo6slAmIiIqodI+jcliLuaV39S42NjYXPvcvHkTW7duhcFgwG+//YbPP/8cCxYswL///e889xMWFgYnJyfT4uvrW6rjICIi86JUKhEYGIgDBw6Y1hmNRhw4cACtWrXK0d7f3x8XLlzA+fPnTUvv3r3x6quv4vz58/zcICIiqgAs5ohycRiNRnh4eGDFihVQKBQIDAxETEwM5s2bh+nTp+fa58Wpcc8O5RMRUcUVGhqK4cOHIygoCC1btsTixYuRmppqOtVn2LBhqFq1KsLCwqBWq9GoUaNs/Z9d++LF9URERGSZLKZQLurUOADw9vaGtbV1tmnWDRo0QGxsLPR6PZRKZY4+eU2NIyKiimvAgAF49OgRpk2bhtjYWDRr1gzh4eGmWUx3794t1StpEhERkXmzmEL5+alxffr0AfC/qXETJkzItU+bNm2wYcMGGI1G0x84V69ehbe3d65FMhERVV4TJkzI8/Pk8OHD+fZds2ZN6QciIiIiyVjU1+OhoaFYuXIl1q5di6ioKIwbNy7H1LjnL/Y1btw4JCYm4oMPPsDVq1exe/duzJkzB+PHj5dqCERERERERGTmLOaIMlD0qXG+vr7Ys2cPPvroIzRp0gRVq1bFBx98gE8++USqIRAREREREZGZkwkhhNQhzJlWq4WTkxM0Gg1v30FEFoXvX+aNrw8REVHJldXnqUVNvSYiIiIiIiIqayyUiYiIiIiIiJ7DQpmIiIiIiIjoOSyUiYiIiIiIiJ7DQpmIiIiIiIjoOSyUiYiIiIiIiJ7DQpmIiIiIiIjoOSyUiYiIiIiIiJ7DQpmIiIiIiIjoOSyUiYiIiIiIiJ7DQpmIiIiIiIjoOVZSByCq6IxGI7RaLZKSkqDVapGamoqMjAzo9XoYDAYAgFwuh7W1NdRqNWxtbeHo6AhnZ2c4OztDoVBIPAIiIiIiosqFhTJRCel0Oly7dg1r166FSqXC48ePcfv2bYSHh6OKWxU8eZIE4/8XxEUlk8ng6OwEzZMkhHQOQY3qNVCzZk04OTmhYcOGaNGiBezt7Ut5RERERERElRsLZaIi0Gg0OHXqFE6fPo2zZ8/izLmzuHXjJoQQAAArlTWsHG0gbBWwaeCBDDtr2DXwhVxlBZnKCnJrBWTWckAhh0wuA+SypxsWAsIoAIMRItMIkWmAUWeAUZcFQ3ombNJUOHrtDI79HQlDsg6ZaTpTJp9qVdG8WXO81Lw5goKC0LJlS3h5eUnx9BARERERVQgslInycfPmTRw9ehQnT57EocOHcCX6CoQQsFJZwygDVLVdYRtUFdZudrB2t4NMbQWZTFbmuYy6LBg0GchKSkdSYjrCD+/D3kP7kZmaAQCoVt0Xr7bvgPbt26NJkyZo0aJFmWciIiIiIqooZOLZoTDKlVarhZOTEzQaDRwdHaWOQ2XMYDDgxIkT2L17N37dtQsXL1wAAKhc7SH3sIG1lwOsPeyhcFaXS0FcFEIIGFP0yIxPQWZcCoxxadA9SoYQAjX8aqBnj57o2bMnOnbsCLVaLXVcKgd8/yqapUuXYt68eYiNjUXTpk3xzTffoGXLlrm2/eWXXzBnzhxcv34dmZmZqFu3LiZNmoShQ4cWen98fYiIiEqurD5PWSgXgH/IVHxZWVk4ePAgNm/ejF+2b8OTx4mwtlVBUdUeympOUFZ1gsJOKXXMYjHqsqB/qIX+ngbGmBToNGmwsbVBj+490L9/f7z22muws7OTOiaVEb5/Fd6mTZswbNgwLF++HMHBwVi8eDG2bNmCK1euwMPDI0f7w4cP48mTJ/D394dSqcSuXbswadIk7N69G127di3UPvn6EBERlRwLZYnwD5mKSQiB06dPY+3atdiw8Sc8eZwIlbMtFDWcoPJzgbWH/dNziCsQIQQMT9Khu/0EWXe1yIjTQm2jRt8+fTF8+HCEhITwCtsVDN+/Ci84OBgtWrTAkiVLADy9Wr2vry8mTpyIyZMnF2obL730Enr27InZs2cXqj1fHyIiopIrq89TnqNMlcqTJ0/www8/YPmK/yL6chSU9mpY1XKGa/tGsHKzNbvp1KVJJpPBytUWVq62wEtVYafNgO76Y/yy91f89NNP8PT2wph3RuOdd95B9erVpY5LVG70ej3OnDmDKVOmmNbJ5XKEhIQgIiKiwP5CCBw8eBBXrlzB3LlzyzIqERERlRMWylQpXLhwAV999RXWrV8HvT4TKj8XOHevD2U1pwp35LiwrBzVsHqpKkRzH2Q9SoU2+hHC/vMlvvjiC/Ts2RMffvghXn311Qr95QERACQkJMBgMMDT0zPbek9PT0RHR+fZT6PRoGrVqtDpdFAoFFi2bBk6d+6cZ3udTged7n9XrNdqtSUPT0RERGWChTJVWEIIHDhwAGFffomDBw5A6WAD68bucPB3h8LWMs85LgsymQzWHvaw9rCHsVV1ZFxLwN6IQ/j111/RsHEjTPlkMgYMGAArK75dED3PwcEB58+fR0pKCg4cOIDQ0FDUqlULHTp0yLV9WFgYZs6cWb4hiYiIqFjkUgcgKm1CCPz6668IahGEzp074/iFSDh2rA3nAY1g/1JVFsn5kFsrYBvgCac3AuDc0x83NDEYMmQIatWpjZUrV0Kv10sdkajUubm5QaFQIC4uLtv6uLi4fO9JLpfLUadOHTRr1gyTJk3Cm2++ibCwsDzbT5kyBRqNxrTcu3ev1MZAREREpYuFMlUYQgjs2bMHLwUFonfv3rj88Aace9SHU58GsKnrBpmCv+6FJZPJoKrmBKfu9eDarxEeWaVizLvvonbdOvj++++RlZUldUSiUqNUKhEYGIgDBw6Y1hmNRhw4cACtWrUq9HaMRmO2qdUvUqlUcHR0zLYQERGReWLlQBXC6dOn0b5DB3Tr1g3RD2/A5TV/OL5WHypfZ55jW0LWbnZwCqmDKm82QoJVGv7xj38goFFD7Ny5E7xoPlUUoaGhWLlyJdauXYuoqCiMGzcOqampGDlyJABg2LBh2S72FRYWhn379uHmzZuIiorCggUL8OOPP2LIkCFSDYGIiIhKEU86JIv24MED/OuTf2H9uvVQudnDuVs9KKuzOC4LVq62cOpcB7aPvHEv8j5ef/11tO/QHl9/9TWaNGkidTyiEhkwYAAePXqEadOmITY2Fs2aNUN4eLjpAl93796FXP6/75ZTU1Px3nvv4f79+7CxsYG/vz/WrVuHAQMGSDUEIiIiKkW8j3IBeJ9L85SZmYmvvvoK06ZPR5bMAPVL3rDx96i0V7Aub0II6O8mIT0yBvqkdIx/7z38+9//hpOTk9TR6Dl8/zJvfH2IiIhKrqw+Tzn1mizOiRMn0LRZU/zrX/8CajnAuX8j2AZ4skguRzKZDKoaLnB6IwB2Lavh25X/RZ16dbF582ZOxyYiIiIii2dxhfLSpUvh5+cHtVqN4OBgREZGFqrfxo0bIZPJ0KdPn7INSGUmNTUVH3zwAVq3bo2bj2Pg8kZDOLbxg1zFMwikIlPIYdfUGy5vNkSKnQEDBgzA66+/jocPH0odjYiIiIio2CyqUN60aRNCQ0Mxffp0nD17Fk2bNkXXrl0RHx+fb7/bt2/j448/Rrt27copKZW2P//8E42aNMbSb5fCLtgXTr39Ye1mJ3Us+n8KexWcutSFU+e6CD+4D/4N/PHTTz9JHYuIiIiIqFgsqlBeuHAhRo8ejZEjRyIgIADLly+Hra0tVq9enWcfg8GAwYMHY+bMmahVq1Y5pqXSkJmZialTp6Jtu3Z4mPYYzm80hF1Tb06zNlPqWq5wfjMAendrvP322xg0aBA0Go3UsYiIiIiIisRiCmW9Xo8zZ84gJCTEtE4ulyMkJAQRERF59ps1axY8PDwwatSoQu1Hp9NBq9VmW0gad+/eRdt2bTEnbA5sX/KBUy9/WDnbSB2LCiBXW8OpUx04dqyNrdt+RqMmjXHy5EmpYxERERERFZrFFMoJCQkwGAymW3U84+npidjY2Fz7HDt2DKtWrcLKlSsLvZ+wsDA4OTmZFl9f3xLlpuL57bff0LhJY5yPvgjnXg1gH1iVR5EtjE1dNzj3a4gEvQZt27bFV199xQt9EREREZFFsJhCuaiSk5MxdOhQrFy5Em5uboXuN2XKFGg0GtNy7969MkxJLzIajZg+fTp69uwJvYsCTn0aQOnlIHUsKiaFgwqOr9WHsoEbPvzwQwwcNAipqalSxyIiIiIiypfFXC7Yzc0NCoUCcXFx2dbHxcXBy8srR/sbN27g9u3b6NWrl2md0WgEAFhZWeHKlSuoXbt2jn4qlQoqlaqU01NhJCcnY/Dgwfh11y7YtagGu+Y+kMl4FNnSyRRyOLSuAWtPe/y87WdcunwJu3/dhRo1akgdjYiIiIgoVxZzRFmpVCIwMBAHDhwwrTMajThw4ABatWqVo72/vz8uXLiA8+fPm5bevXvj1Vdfxfnz5zml2szcvXsXL7duhd/3hsO5a13Yv1SVRXIFo65dBU69G+Da3ZsIDArEiRMnpI5ERERERJQrizmiDAChoaEYPnw4goKC0LJlSyxevBipqakYOXIkAGDYsGGoWrUqwsLCoFar0ahRo2z9nZ2dASDHepLW2bNn0a17N2h0qXDq7Q8rV1upI1EZsa5iC6fX/aHddwPtO7THTxt+whtvvCF1LCIiIiKibCzmiDIADBgwAPPnz8e0adPQrFkznD9/HuHh4aYLfN29excPHz6UOCUVxf79+9HulXbQynRwZJFcKchtrOHUox7kvg548803sWzZMqkjERERERFlIxO8DG2+tFotnJycoNFo4OjoKHWcCmXr1q0YNGgQrHwc4BhSGzJrhdSRqBwJIZAScRdpF2Ixffp0TJ8+ndPtSxnfv8wbXx8iIqKSK6vPU4uaek0Vxw8//IARI0dCVcsFjh1qQaawqMkNVApkMhnsW1WH3MYKM2fORHJyMubPn89imYiIiIgkx0KZyt2qVaswevRoqOu7waFdTd4fuRKTyWSwa14VMmsFFi5cCL1ej6+//prFMhERERFJioUylavvv/8e77zzDmwCPODQ1o8FEQEAbBt5AXIZlixZArlcjsWLF/N3g4iIiIgkw0KZys1PP/2EUaNGwaYBi2TKyTbg6UX5vv76a6jVasydO1fiRERERERUWbFQpnKxa9cuDBk6BKq6VeDQjkUy5c42wBMiy4j//Oc/cHV1xSeffCJ1JCIiIiKqhFgoU5n7888/0e/NN6Gs7gzH9rVYJFO+7Jp4Q+gMmDx5Mtzd3fGPf/xD6khEREREVMnwUsNUpq5evYoePXtAXkUNx461eeEuKhS7oKqwCfDA6DGjER4eLnUcqiSWLl0KPz8/qNVqBAcHIzIyMs+2K1euRLt27eDi4gIXFxeEhITk256IiIgsCwtlKjMJCQno0q0rMhQGOHSpA5kVf92ocGQyGRza+EHp64R+b/bD33//LXUkquA2bdqE0NBQTJ8+HWfPnkXTpk3RtWtXxMfH59r+8OHDGDRoEA4dOoSIiAj4+vqiS5cuiImJKefkREREVBZkQgghdQhzVlY3sK7o9Ho9OoV0wskzp+D0uj8UjmqpI5EFMmYaoN11BVWUjjh35iw8PDykjmRR+P5VeMHBwWjRogWWLFkCADAajfD19cXEiRMxefLkAvsbDAa4uLhgyZIlGDZsWKH2ydeHiIio5Mrq85SH+KhMfPDBB/jzzz9hH1KbRTIVm9xaAYfOtfHoyWP06dsHer1e6khUAen1epw5cwYhISGmdXK5HCEhIYiIiCjUNtLS0pCZmQlXV9eyiklERETliIUylbrvv/8ey5cvh12bGlB6O0gdhyycwl4F+5BaOHnyJEJDQ6WOQxVQQkICDAYDPD09s6339PREbGxsobbxySefwMfHJ1ux/SKdTgetVpttISIiIvPEQplK1V9//YV3x46Fjb87bBtwmuzzhBAw6rJg0GYg83Eq9HHJ0D/UPl1ik5GZkIosTQaMGZngGRHZKb0cYNeqOpYuXYqNGzdKHYcomy+//BIbN27Etm3boFbnPYMmLCwMTk5OpsXX17ccUxIREVFR8PZQVGqSk5PRt98bkDup4NDGT+o4kjHqspD5KBVZiWkwJGVAaHVAWhb0yRkwZhkKtQ2ZXA6lvRoyO2vAwRpWzmpYudrCys0OCjtlGY/APNkEeCAzNgWj3hmFwMBA1K1bV+pIVEG4ublBoVAgLi4u2/q4uDh4eXnl23f+/Pn48ssvsX//fjRp0iTftlOmTMk2K0Kr1bJYJiIiMlMslKnUjHtvHO7evwfnvgGV6grXhlQ99DEa6B8kQzxKhy4xBQCgVKlQp24dBLRqgJo1a6JatWrw9PRElSpV4OjoCFtbW1hZWUEmkyErKwvp6elITk5GYmIi4uPjERMTg9u3byP6yhVciYpGUvL9p9t1sIHc3QbWPo5QVnWEwkldKe5NLZPJ4NDOD9rtUej/Vn9EnoyEUlk5vzSg0qVUKhEYGIgDBw6gT58+AJ5ezOvAgQOYMGFCnv3+85//4IsvvsCePXsQFBRU4H5UKhVUKlVpxSYiIqIyxEKZSsXGjRuxft16OL5aC1ZOFf/iXVlP0pBxIxGGe8nIiH96nmFAwwC8OuhVvPzyywgKCkLdunWhUChKZX9CCNy9exdnz57FiRMn8MeRP3D6xGkkZxmgcraDwtcBqlqusPa0r9BFs1ypgN2rNXFhxwVMnToV//nPf6SORBVEaGgohg8fjqCgILRs2RKLFy9GamoqRo4cCQAYNmwYqlatirCwMADA3LlzMW3aNGzYsAF+fn6mc5nt7e1hb28v2TiIiIiodPD2UAXg7TsKFhMTgwYBAcj0sIZjx9oVtlAzpmci/VoCMq8/ge5RMuzs7fFaz57o3bs3OnfuDHd393LNk5KSgsOHD2PXrl34Zfs2PIqLh9LRFta1naGu716hv7BIPf8AqZH38ccff6Bdu3ZSxzFbfP8qmiVLlmDevHmIjY1Fs2bN8PXXXyM4OBgA0KFDB/j5+WHNmjUAAD8/P9y5cyfHNqZPn44ZM2YUan98fYiIiEqurD5PWSgXgH/I5E8Ige49euDQscNw6tcQcnXFm6SQ+SgFaRfioL/1BAqZHL1698awoUPRrVs3s5lGaTQacfz4caxbtw4bftqAlOQUqKu7QN3QA0pfpwr35YUwCmh3XYGHyhmXL16CnZ2d1JHMEt+/zBtfHyIiopLjfZTJLK1btw57wsNh26Z6hSqShRDQ3ddAs/sKEn+5BHedLeaGfYkHDx7g561b8frrr5tNkQw8vedru3bt8N///hdxsXH4/vvvUb9KDST9fgWaXy4j/VoChLHifCcmk8tg194PMTH38dlnn0kdh4iIiIgqGB5RLgC/8c/bo0ePUK9+PWRUUcCpUx2p45QafWwy0k/FIOOBBk2bN8PUTz9D3759S+184/IihMCxY8fwxZw52BMeDpWrHdSB3lDVdK0wR5hT/3qI1Mj7OHniBFq0aCF1HLPD9y/zxteHiIio5HhEmczOxx9/jJSMNDi0riF1lFJhSNZBu/86nuy4jNpVfPHrr7/i3JmzePPNNy2uSAaeXiW6Xbt2CP/9d5w6dQrtAltDs+86tL9GIzM+Rep4pcK2sReUVewwavQ7MBgKd+stIiIiIqKCsFCmYjl+/Dh++OEH2ARVhdzGWuo4JSIMRqSei8GTLRfhkGqFtWvX4u/zf+G1116rMEdeg4KCsG/vXuzfvx+1qvgicftlaI/cglGXJXW0EpHJZbBrWx0X/r6A5cuXSx2HiIiIiCoIFspUZAaDAePGvweVpyNsGpTvlZ5LW2ZCKjQ7opB25gE+mPg+rl+9hmHDhkEur5j/NDp16oS/zp3H1199BdndVCRtvQTdnSdSxyoRaw972NR3w6effYrHjx9LHYeIiIiIKoCKWQ1QmVqzZg0u/PU3bFtVs9gjrkIIpJ5/gKTtl1HbswZORZ7CggUL4ODgIHW0MmdlZYWJEyfiSnQ0OrbtgKTwq9D+cQsi03KnLtu39EVaRjqmTZsmdRQiIiIiqgBYKFORpKamYspnn8KmjhuUnpZZVBrTM6H9/SpSI+/j40kf49yZs3jppZekjlXuqlWrht9/+w0rVqyAuKOFZnsUshLTpI5VLHIba6ibeWH5f5fjypUrUschIiIiIgvHQpmKZPHixXj8+DHsWlSVOkqxZManQLMtCrZpcuzduxdz586FUqmUOpZkZDIZRo8ejXNnz6GWV3Uk7YhCxg3LnL5s28gLVnYqTJ4yWeooRERERGThWChToSUmJuLLuXOh8neDwlEtdZwiy7jxGJpd0Wji3xB///U3QkJCpI5kNvz9/XEq8hT69e0Hzf7rSDl9H5Z25ziZlRzql7yxfdt2nD59Wuo4RERERGTBWChToS1cuBDpunTYNbe8o8mpfz2EZv919H+zP44eOYqqVS1vDGXNzs4OG3/6Cf/+97+ReiYG2sM3IQxGqWMVibquG1Sudpj6+edSRyEiIiIiC2ZxhfLSpUvh5+cHtVqN4OBgREZG5tl25cqVaNeuHVxcXODi4oKQkJB821PeEhMTsWjxYqgauENhazm3gxJCIPnEXaScuIspU6Zgw/oNUKst72h4eZHJZPjss8+wfv16ZN1Mgnb/dYgsyymWZXIZVM29sCc8HKdOnZI6DhERERFZKIsqlDdt2oTQ0FBMnz4dZ8+eRdOmTdG1a1fEx8fn2v7w4cMYNGgQDh06hIiICPj6+qJLly6IiYkp5+SWb8mSJdDpM2DbxFvqKIUmhEDyn3eQ9tdDLFq0CHPmzLHYq3SXt7fffhu7du2CiE2Ddu81iyqW1bWqQOVqh3//+99SRyEiIiIiCyUTFnQiYnBwMFq0aIElS5YAAIxGI3x9fTFx4kRMnlzwBXwMBgNcXFywZMkSDBs2rFD71Gq1cHJygkajgaOjY4nyW6q0tDRUrVYVOh8VHNv6SR2nUIQQSIm4i7QLsVi+fDneffddqSNZpMOHD6N7j+6Amw0cu9aBTGEZ362lR8dD+8ctXL58GQ0aNJA6jmT4/mXe+PoQERGVXFl9nlrGX70A9Ho9zpw5k+0CTHK5HCEhIYiIiCjUNtLS0pCZmQlXV9c82+h0Omi12mxLZbd27VpokjSwa+IldZRCSz0bg7QLsViyZAmL5BLo0KEDdu/aDWN8KrQHbkAYLeN7NXVdNyjt1ViwYIHUUYiIiIjIAllMoZyQkACDwQBPT89s6z09PREbG1uobXzyySfw8fHJ92rHYWFhcHJyMi2+vr4lym3pjEYjPvnkE6hqulrMla7TouKRejoG//73vzF+/Hip41i8jh07YuuWrdDfTULy8dsWcTVsmUIOZYAbVq1ahUePHkkdh4iIiIgsjMUUyiX15ZdfYuPGjdi2bVu+F3OaMmUKNBqNabl37145pjQ/+/btQ3JyMmwaeRbc2Azo7muQcuw2xo4di08//VTqOBVGr169sPzb5Ui/HI+0C4X7YkpqNg08ILdS4LvvvpM6ChERERFZGIsplN3c3KBQKBAXF5dtfVxcHLy88p8SPH/+fHz55ZfYu3cvmjRpkm9blUoFR0fHbEtltmTJEqjcHWDtZS91lAJlaTOQcvAmOnbshG+++YYX7iplo0ePxqRJk5B64h509zVSxymQXG0NZS0XLP12GQwGg9RxiIiIiMiCWEyhrFQqERgYiAMHDpjWGY1GHDhwAK1atcqz33/+8x/Mnj0b4eHhCAoKKo+oFcaDBw/w22+/QVm/itkXnSLLiJT9N1HVywdbNm+GlZWV1JEqpLlz56JTSAhSD92CIUUndZwC2QZ4Iubefezbt0/qKERERERkQSymUAaA0NBQrFy5EmvXrkVUVBTGjRuH1NRUjBw5EgAwbNgwTJkyxdR+7ty5+Pzzz7F69Wr4+fkhNjYWsbGxSElJkWoIFmXt2rWQKeRQ16kidZQCJUfcgdDqsGPbdri4uEgdp8JSKBTY+NNPcHOpguSDt8z+4l5WHnZQudljJadfExEREVERWFShPGDAAMyfPx/Tpk1Ds2bNcP78eYSHh5su8HX37l08fPjQ1P7bb7+FXq/Hm2++CW9vb9Myf/58qYZgMYQQ+G7VKlj7OUOuMu+js7rbT5B+OR6LFy1G06ZNpY5T4VWpUgVbNm2GPi4ZqefM+57kMpkM1nVd8evOnUhMTJQ6Dpm5pUuXws/PD2q1GsHBwYiMjMyz7aVLl9CvXz/4+flBJpNh8eLF5ReUiIiIypxFFcoAMGHCBNy5cwc6nQ4nT55EcHCw6bHDhw9jzZo1pp9v3356hd4XlxkzZpR/cAtz+vRp3LxxA+p6blJHyZcxIxOpx+6iR48eGDt2rNRxKo02bdrgs08/RdrZh8hMSJU6Tr7UdaogKysLW7ZskToKmbFNmzYhNDQU06dPx9mzZ9G0aVN07doV8fHxubZPS0tDrVq18OWXXxZ4nQwiIiKyPBZXKFP52LBhA5T2aih9zPtiZikR96BWKPHdd9+Z/XnUFc3nn3+OgIYBSD1yx6ynYCtslVBVc8a69eukjkJmbOHChRg9ejRGjhyJgIAALF++HLa2tli9enWu7Vu0aIF58+Zh4MCBUKlU5ZyWiIiIypp5z6klSRiNRmzctAmKGk6Qyc23+NTHaJB+9RFWrVoFb29vqeNUOkqlEmtWf4+WwcFIuxgLuybm+xooaznj+JHjePjwIX9XKAe9Xo8zZ85ku8aFXC5HSEgIIiIiSm0/Op0OOt3/LoKn1WpLbduUu7t37yIhIUHqGGXOzc0N1atXlzoGUbFUln+nz04BJcvBQplyiIyMROzDh3AJaiB1lDwJgxFpEffxcquXMWLECKnjVFpBQUF4b9w4LP9uBdS1q0Bhp5Q6Uq5Ufq5IPnob27dvx7hx46SOQ2YmISEBBoPBdL2LZzw9PREdHV1q+wkLC8PMmTNLbXuUv7t376K+f31kpGdIHaXMqW3UuBJ9hcUyWZzK9O8UeHpHGRbLloOFMuWwfft2WNuqYO3lIHWUPKVHxUOfmIplS5dBLucZBFKaPXs21m9Yj5TT9+HUvpbUcXIlV1tB5eOEn3/5hYUySWbKlCkIDQ01/azVauHr6ythoootISEBGekZcOxYG1bONlLHKTNZSenQHryBhIQEFspkcSrLv9PMhFQkH7nFmW0WhoUy5bB9x3YoqjmY7bRrY6YBGefjMGzYMDRv3lzqOJWei4sLZs6YiQ8//BBZTbxg5WIrdaRcWVd3wh+HDyM5ORkODub7JRCVPzc3NygUCsTFxWVbHxcXV6oX6lKpVDyfWQJWzjawdreTOgYR5YP/Tskc8VAcZXPnzh1cib4CVXVnqaPkKf1CLITegFmzZkkdhf7f2LFjUdW3GlJPP5A6Sp6U1Z2RlZWFAwcOSB2FzIxSqURgYGC23w2j0YgDBw6gVatWEiYjIiIiqbBQpmz27t0LmUwGZTUnqaPkyphpgO7SI4x+5x1OMTMjSqUSM6ZNR8bNx8hKTJM6Tq6snNRQudhhz549UkchMxQaGoqVK1di7dq1iIqKwrhx45CamoqRI0cCAIYNG5btYl96vR7nz5/H+fPnodfrERMTg/Pnz+P69etSDYGIiIhKEQtlymb58uVQeTlCrjLPWfnpUfEw6rIwefJkqaPQC4YOHQrvqj5I/euh1FHyJPe2Q/heFsqU04ABAzB//nxMmzYNzZo1w/nz5xEeHm66wNfdu3fx8OH/frcfPHiA5s2bo3nz5nj48CHmz5+P5s2b45133pFqCERERFSKzLMaIkkIIXD77h0ofM3zHBFhFNBfTsDAgQN5NNkMKZVKfBw6Cf/81z9haOlrllfAVvo44vb+64iJiUHVqlWljkNmZsKECZgwYUKujx0+fDjbz35+fhDCfO8fTkRERCXDI8pkcvXqVSQmPIa1t3le6Eh39wn0mjR8+OGHUkehPIwaNQoqlQrpUfFSR8mVtbcjAODIkSMSJyEiIiIic8ZCmUyOHz8OyABrT3upo+RKF52A5oEvISgoSOoolAcnJycMGTwEmVcTIYzmd7RNYWsNlavd0991IiIiIqI8sFAmk4iICKjdHCBXmt+MfEOqHrq7SRg75l2po1ABxowZA31yOvT3NVJHyZXMzQbHjh+TOgYRERERmTEWymQScSICqKKWOkauMq4/hpW1Nd566y2po1ABAgMDUbdePWRcfyx1lFxZe9jj0sVL0Ol0UkchIiIiIjPFQpkAABkZGYiOjoa1m3leyCvrdhK6d+8OZ2dnqaNQAWQyGYYOGYLMuxqILKPUcXKwdrNDVlYWLl68KHUUIiIiIjJTLJQJAHD58mUYsgywcrOVOkoOhhQdMmK1eKt/f6mjUCG9+eabMOgyoY8xv+nXVq42gAw4f/681FGIiIiIyEyxUCYAwIULFwAAVi7mVyjr7iZBrpCjR48eUkehQvL394dfTT/o7iRJHSUHmbUCahd7/P3331JHISIiIiIzxUKZADw9oqxysoVcqZA6Sg6Z97UIDg6Gi4uL1FGokGQyGXq91gvGBylmea9Z4WiNy5cvSx2DiIiIiMwUC2UCAGzZsgVwVEodIwdhFMh6mIKuXbpKHYWKqHPnztBp0mDQmt9FsxTOauzfv1/qGERERERkplgoEwDg1q1bkDuppI6RQ9aTNGRl6NGhQwepo1ARtWvXDjKZDJmxyVJHycHKyQYymQwZGRlSRyEiIiIiM8RCmSCEgEqtgsLB/ArlzLgUyBUKtGjRQuooVETOzs6oV78eMuNSpI6Sg8JRBSEEbt++LXUUIiIiIjJDLJQJCQkJ0GXooLA3w0L5USoaNPCHra35XWSMCtbq5VYQieZ31PbZl0J37tyROAkRERERmSMWyoR79+4BABT25neOMp7o0CKIR5Mt1UsvvQR9QgqE0bwu6CW3tQZkwP3796WOQkRERERmiIUy4eHDhwAAuZ15FcpCCGQ+SUOjRo2kjkLF1KhRIxgNRhg05nVUWaaQQ2mrxoMHD6SOQkRERERmiIUyIS4uDgAgV1tJnCQ7Y6oeBn0W/P39pY5CxVSvXj0AQJaZFcoAILdVIj4+XuoYRERERGSGWCgTEhISYG2jhExhXr8Oz24rVKtWLYmTUHH5+PhAqVLBoDW/QhkqOR49eiR1CiIiIiIyQ+ZVGZEkEhMToVBbSx0jB0OqHgDg6+srcRIqLplMBp+qPjD+/2tpToS1DI8TH0sdg4iIiIjMEAtlgkajgcxaIXWMHIxpmbC1s4O9vb3UUagEqvr4wJiWKXWMHGQqKzx+zEKZiIiIiHKyuEJ56dKl8PPzg1qtRnBwMCIjI/Ntv2XLFvj7+0OtVqNx48b47bffyimp5UhNTYWwNr9fBWNGJlyruEodg0rIy9ML0BmkjpGD3EqBlNRUqWOQGeHnCxERET1jftVRPjZt2oTQ0FBMnz4dZ8+eRdOmTdG1a9c8L8jz559/YtCgQRg1ahTOnTuHPn36oE+fPrh48WI5JzdvaWlpEGb4myD0Bjg7O0sdg0rI2dkZyDSv20MBAKxkSE9PlzoFmQl+vhAREdHzilweDR8+HEeOHCmLLAVauHAhRo8ejZEjRyIgIADLly+Hra0tVq9enWv7r776Ct26dcM///lPNGjQALNnz8ZLL72EJUuWlHNy86bT6cyzUM40wMHBQeoYVEL29vZAllHqGDnIFHLo9eZ37nRl17FjR8ycOTPH+idPnqBjx45ltl9+vhAREdHzilweaTQahISEoG7dupgzZw5iYmLKIlcOer0eZ86cQUhIiGmdXC5HSEgIIiIicu0TERGRrT0AdO3aNc/2lVVmZiZkMpnUMXIQBgEblVrqGFRCSqUSMJrhEWW5DFmZ5nfudGV3+PBhLFmyBH369EHqc1Pj9Xo9/vjjjzLZJz9fiIiI6EVFLpS3b9+OmJgYjBs3Dps2bYKfnx+6d++OrVu3IrMM/+hMSEiAwWCAp6dntvWenp6IjY3NtU9sbGyR2gNPj65qtdpsS0VnFAIwvzoZEAIKK/O7yBgVjUKhAIQZFsow21iV3v79+xEbG4uXX34Zt2/fLvP98fOFiIiIXlSsCbfu7u4IDQ3FX3/9hZMnT6JOnToYOnQofHx88NFHH+HatWulnbPchIWFwcnJybRUhlsTyQDAHAsGmQyGLPO7CBQVjdFoBMxwxgJgtrEqPW9vb/zxxx9o3LgxWrRogcOHD0sdqVRUxs8XIiIiS1WiM1MfPnyIffv2Yd++fVAoFOjRowcuXLiAgIAALFq0qLQyAgDc3NygUCgQFxeXbX1cXBy8vLxy7ePl5VWk9gAwZcoUaDQa03Lv3r2ShzdzSqXSLA+tyRQy6PQ6qWNQCel0OkBuhhWpUUBhZSV1CnrBs9NAVCoVNmzYgA8++ADdunXDsmXLymyf/HwhIiKiFxW5UM7MzMTPP/+M1157DTVq1MCWLVvw4Ycf4sGDB1i7di3279+PzZs3Y9asWaUaVKlUIjAwEAcOHDCtMxqNOHDgAFq1apVrn1atWmVrDwD79u3Lsz3w9I8zR0fHbEtF9/QcUqlT5CSzUkCbnCx1DCqh1NRUyKzM72pxwmCESqWSOga9QLzwpd3UqVOxfv16LFiwoMz2yc8XIiIielGRD6d4e3vDaDRi0KBBiIyMRLNmzXK0efXVV8vktj6hoaEYPnw4goKC0LJlSyxevBipqakYOXIkAGDYsGGoWrUqwsLCAAAffPAB2rdvjwULFqBnz57YuHEjTp8+jRUrVpR6Nktma2sLmTkWykoFkpKSpI5BJZSUlASjtRkeUc4SsLGxkToFveDWrVtwd3fPtq5fv37w9/fH6dOny2y//HwhIiKi5xW5UF60aBH69+8PtTrvqxE7Ozvj1q1bJQqWmwEDBuDRo0eYNm0aYmNj0axZM4SHh5suqHL37l3I5f87ctW6dWts2LABU6dOxaeffoq6deti+/btaNSoUalns2T29vZApvlVynK1FRIfP5Y6BpVQXHwcoDS/i7IZswyws7WVOga9oEaNGrmub9iwIRo2bFhm++XnCxERET2vyIXy0KFDyyJHoU2YMAETJkzI9bHcLvjSv39/9O/fv4xTWTZHR0fzLJRtraFNSUVaWhpsWdBYrJgHD6CwtZY6Rg5Cb0CValWkjkFmhJ8vRERE9Iz5nThI5c7V1RWGDPO7n6zC/un5o7zgjeUSQuBBTAzk9kqpo+Qg0xtRxZWFMhERERHlxEKZ4Obmhsx0HYTRvK58rXB4WiifOHFC4iRUXHFxcchIzzC9luZEpjPCzc1N6hhEREREZIZYKBM8PDwAAMZ08zqqLLdXQm6lKJPz3al8XLlyBQBg5Zz3NQ2kYkjXm84/JSIiIiJ6Hgtlgo+PDwDAmGZehbJMJoOyih3u378vdRQqposXL0KukEPhaF6FsjAYoU/NgLe3t9RRiIiIiMgMsVAmVKtWDQBgSNFJnCQXTkqcOn1K6hRUTOfPn4eyij1kCvN6qzGmZQLif7/7RERERETPM6+/XkkSHh4esFYqYUzRSx0lB2t3O1y+dBkZGRlSR6FiiDgRAbia3/nJhuSnXwrldSsiIiIiIqrcWCgTZDIZMvV6U/FgTqw9HZCVlYXTp09LHYWKSKvVIupyFKw97KWOksOz33U/Pz9pgxARERGRWWKhTACA6tWrw6Axv6O2VlVsYaWyxh9//CF1FCqi48ePw2g0QuntIHWUHAyaDHh4efL+3ERERESUKxbKBAB46623AK15XcwLAGRyGay87LFn7x6po1AR7d+/H0oHGyiczOtCXgCQpclAA/8GUscgIiIiIjPFQpkAAAEBAdBpUiEyDVJHycG6miMi/oyAVquVOgoVwc5fd0LuYw+ZTCZ1lBxkGj0aN2okdQwiIiIiMlMslAkA0KhRI0AA+hjzK0ZVNVyQlZWF8PBwqaNQIV27dg3Xr12Hqoaz1FFyEFlG6J6konHjxlJHISIiIiIzxUKZADwtlOVyuVneIkrhoILKwwFbtmyROgoV0s8//wyFtRVU1ZykjpJD1pM0CKNAs2bNpI5CRERERGaKhTIBAGxsbFC3fj1kJaZLHSVX1jWd8euuX5GcnCx1FCqEH9etg3V1J8isFVJHySHzUSrkCgWPKBMRERFRnlgok0mr4JchHptnoayuXQU6nQ5bt26VOgoV4K+//sLlS5egrlNF6ii5yoxPRUBAA9jY2EgdhYiIiIjMFAtlMmnVqhV0CSkwmuEFvRQOKqirOWPFyhVSR6ECrFy5Etb2aih9zW/aNQAgIR1t27SVOgURERERmTEWymTStm1bCKNAZlyK1FFypfJ3w4mIE/j777+ljkJ5SElJwZq1a2FdxxUyhfm9vRjTM5HxOAVt2rSROgoRERERmTHz+0uWJOPv7w8nF2dkPjTP84BVNVygdLDB4sWLpY5CeVizZg3S0lJhG+AhdZRc6WOf/m6/8sorEichIiIiInPGQplM5HI5qvv6wvDQPI8oyxRyKAPcsG7dOjx48EDqOPSCrKwszFswH6qarlA4qKSOkyt9jBa+1X1RvXp1qaMQERERkRljoUzZjBs7Drq4ZBj1WVJHyZVNAw8IhQzz5s2TOgq94KeffsLd23dg28xb6ih5MsamomuXrlLHIDOTmJiIwYMHw9HREc7Ozhg1ahRSUvL/wnDFihXo0KEDHB0dIZPJkJSUVD5hiYiIqFywUKZsunbtCmE0Qh+jlTpKruQqK6gC3LHs22V4+PCh1HHo/2VlZWH6zBlQ+7nC2s1O6ji5MiTroHucgq5dWShTdoMHD8alS5ewb98+7Nq1C0eOHMGYMWPy7ZOWloZu3brh008/LaeUREREVJ5YKFM2tWrVQu06taG/myR1lDzZNvGCUQ7MmDFD6ij0/1avXo1bN27CNtBH6ih50t1NgsJKgc6dO0sdhcxIVFQUwsPD8d133yE4OBht27bFN998g40bN+Z7iseHH36IyZMn4+WXXy7HtERERFReWChTDn1e7wPD/WQIIaSOkiu5ygrqpl74btV3uHTpktRxKr3k5GR8OvUzqOu6me3RZADIvKtBmzZt4ORkpretIklERETA2dkZQUFBpnUhISGQy+U4efKkhMmIiIhISlZSByDz06dPHyxYsACZcSlQejlIHSdXto08kXnlMSZMnIiDBw5AJpNJHanSmjlzJpKSkuDSuZHUUfJk1GVBH6NBv0n9pI5CZiY2NhYeHtmv0m5lZQVXV1fExsaW6r50Oh10Op3pZ63WPE9xqWgyE1KljlCmspLSpY5AVGIV/fe4oo+vomKhTDm0atUKbh7uSLuZaLaFskwhh83L1XD490P46aef8Pbbb0sdqVK6cOECFi9eDPVL3mZ7pWsA0N15AqPBiDfeeEPqKFROJk+ejLlz5+bbJioqqpzSPBUWFoaZM2eW6z4rM2/vpxcWTD5yS+IkZU9to4abm5vUMYiKzM3NDWobNbQHb0gdpczx36nlYaFMOSgUCgzo/xZW/rAaopUw26O1qurOUNeqgonvT0SXLl345lPOsrKyMPIfI2HlbAO7puZ7pWsA0N98guCXg1GtWjWpo1A5mTRpEkaMGJFvm1q1asHLywvx8fHZ1mdlZSExMRFeXl6lmmnKlCkIDQ01/azVauHr61uq+6D/8fb2xoMHDyrFhR/d3Nx42zuySNWrV8eV6CtISEiQOkqZ479Ty8NCmXL19ttvY+nSpch8mAylj6PUcfJk36Y6NFsvYey4sdiyeYvZFvUV0bx583D2zFk4924AmcJ8L3dgTM+E7p4GQz4eInUUKkfu7u5wd3cvsF2rVq2QlJSEM2fOIDAwEABw8OBBGI1GBAcHl2omlUoFlcp8Z15URN7e3qYjy0RknqpXr84CksyS+f51S5Jq1aoVqteogfSr5v0Nn8JWCds21fHz1p/x448/Sh2n0jhz5gymTZsGm6ZeZjs9/5mMG48hl8swYMAAqaOQGWrQoAG6deuG0aNHIzIyEsePH8eECRMwcOBA+Pg8vYp7TEwM/P39ERkZaeoXGxuL8+fP4/r16wCenoZw/vx5JCYmSjIOIiIiKl0WUygnJiZi8ODBcHR0hLOzM0aNGoWUlJR820+cOBH169eHjY0Nqlevjvfffx8ajaYcU1sumUyGf4wciazbSTBmGqSOky917SpQ13PD2HFjER0dLXWcCk+j0aBf/zehcLWBfZD5T2XWX0tEj+49CnV0kSqn9evXw9/fH506dUKPHj3Qtm1brFixwvR4ZmYmrly5grS0NNO65cuXo3nz5hg9ejQA4JVXXkHz5s2xc+fOcs9PREREpU8mzPUeQC/o3r07Hj58iP/+97/IzMzEyJEj0aJFC2zYsCHX9hcvXsT06dMxYsQIBAQE4M6dOxg7diyaNGmCrVu3Fnq/Wq0WTk5O0Gg0cHQ03ynIZeHOnTuoWbMmHF7xg42/R8EdJGTMNEC7Ixo13KvidOQpODiY91FOS2U0GtG3b1/8tud3OPUNgJWTWupI+cp8lIrEXy5ix44d6N27t9Rxyl1lfv+yBHx9iIiISq6sPk8tolCOiopCQEAATp06ZbrXZXh4OHr06IH79++bpscVZMuWLRgyZAhSU1NhZVW407Mr+x8yXbt1w5HzEXDq00DqKAXKepIOzY4o9OjaHdu2bYNcbjETJizGjBkzMHPmTDh1rQe1n4vUcQqk/eMmHDUK3L97r9D/5iuSyv7+Ze74+hAREZVcWX2eWkQlERERAWdnZ1ORDAAhISGQy+U4efJkobfz7MmrjH8wF9eE8eOREadFZnze09zNhZWLDew71MTOX3/FJ598InWcCuenn37CzJkzYdeimkUUyUZdFvQ3n+C9seP4b56IiIiIisQiCuXY2Fh4eGSf+mtlZQVXV1fExsYWahsJCQmYPXs2xowZk287nU4HrVabbanMevToAd8a1ZF2IU7qKIWi8nOB/cu+mD9/Pr7++mup41QYBw4cwLBhw2BTzx12zQs3g0Nq6dGPIDOiwH/zREREREQvkrRQnjx5MmQyWb5LaVycSavVomfPnggICMCMGTPybRsWFgYnJyfTUtnvcalQKBD64UfQ3UyEIUUndZxCsWviDdsm3vjggw/www8/SB3H4p04cQK9eveGlY8DHF7xs4hbcAmDEfrLjzBo0KBSvxcuEREREVV8kp6j/OjRIzx+/DjfNrVq1cK6deswadIkPHnyxLQ+KysLarUaW7ZsQd++ffPsn5ycjK5du8LW1ha7du2CWp3/xYd0Oh10uv8VhFqtFr6+vpX6HLLk5GT4VK0KY007OLSqIXWcQhFCIPnIbWRcTcCPP/yAwYMHSx3JIkVGRqJjp04wOCrg2K0uZNYKqSMVSvrVBGgP3cBff/2FJk2aSB1HMjwH1rzx9SEiIiq5svo8lfTEPXd390LdsqVVq1ZISkrCmTNnEBgYCAA4ePAgjEYjgoOD8+yn1WrRtWtXqFQq7Ny5s8AiGQBUKhVUKlXhB1EJODg44P2JEzF3/n9g19wHcrW11JEKJJPJ4PCKHyAEhg4dioyMDIwaNUrqWBbl6NGj6Na9O4yOCjh0tZwiWQgB3YU4dOnatVIXyURERERUfBZxjnKDBg3QrVs3jB49GpGRkTh+/DgmTJiAgQMHmq54HRMTA39/f0RGRgJ4WiR36dIFqampWLVqFbRaLWJjYxEbGwuDwbzvC2yOPvzwQ1grrJB2oXDnhJsDmUwGh/Y1oW7gjnfeeQdz586FBVzk3Szs3LkTIZ1DYHSxhkP3epArLaNIBgDdrSfQJaRg2uefSx2FiIiIiCyURRTKALB+/Xr4+/ujU6dO6NGjB9q2bYsVK1aYHs/MzMSVK1eQlpYGADh79ixOnjyJCxcuoE6dOvD29jYt9+7dk2oYFsvd3R3j3xsP3aVHMGZkSh2n0GQyGRza+sHupaqYPHkyxo0bh8xMy8lf3oQQ+Oabb9Cnb1/Iq9rDsWtdyC3kSDLwNH/GuYfo8GoHtGnTRuo4RERERGShLOI+ylLiOWT/8+jRI9TwqwFZXWc4vFxd6jhFlh4dj+Sjd9CuXTts3bKlUNP+KxOdToeJEydi5cqVsG3iBfvg6pDJzf/CXc/LuP4YmgPXcezYMRbK4PuXuePrQ0REVHKV+j7KZB7c3d0xKXQSdJfjLeYK2M+z8feAc8/6iDh9Ak2bN0NERITUkczG7du30aZtG6z6fjUc29eEQ6saFlckC4MRGWceoFv37iySiYiIiKhEWChTkfzzn/+Eo4MjUk/HSB2lWJQ+jnDq0wBPjKlo164d5syZU+nPWd+0aRMaN2mCC9ei4NzLHzb+HgV3MkPpUfHQazPwn7lzpY5CRERERBaOhTIViaOjI2bPmo30qwnIfJQqdZxiUdir4NizHtRNPPHZ1Klo3aY1rly5InWscpeQkIABAwdi4MCByPJQwqlvA1h72Esdq1iMuixknH2IkSNGoHHjxlLHISIiIiILx0KZiuzdd99Fvfr1kHbinsVeRVqmkMO+pS9cejfAX1cvoXHjxpg1a1a2e2hXVEIIrF27FnXr1cW2ndvg2LE2HDvVhlwl6d3iSiTl1H1Yy63xxRdfSB2FiIiIiCoAFspUZFZWVli2ZCkyHmiQcS1B6jglovRygNMbAbBu6IYZM2eifgN/bN++3WK/AChIZGQkWrVuhREjRiCjigJObzaCTV03yGSWdT7y8zITUpFxOR4zZ8yAl5eX1HGIiIiIqAJgoUzF0qlTJ/R/6y2kRz6AUZcldZwSkVnJ4RBcHa5vNkKcQYO+ffuidZvWOHLkiNTRSk10dDT6v/UWgoODcf76Jbi85g+nTnWgsLWWOlqJCCGQevwu6tavhw8++EDqOERERERUQbBQpmL7avFiKGVWSDlxV+oopcLKxQaO3erCuUd9nLtxCe3bt8cr7V/B3r17LfYI8/nz5zFw4EAEBARg555dcGxfE059A6Cs6iR1tFKRfikOulgtVq38DtbWll30ExEREZH5YKFMxebt7Y2FCxYgPfoRdPc1UscpFTKZDCpfZzj1aQCnLnURGX0eXbt2RcNGjbBixQqkpKRIHbFAmZmZ2LZtGzq82gHNmzfHtvBfYd+mBpzfagQbfw+Lu+1TXgzJOqSdfoAxY8agbdu2UschIiIiogpEJiz1UFk5KasbWFcURqMRr3Z8FSfOnYJTvwDIlZZ7QajcCCGQ+UCL9Ivx0N15ArWNDQYOGIChQ4filVdegUKhkDoigKc5//rrL2zYsAHfr12DhPhHUHs7QRXgDlUt1wpTHD8jhID2t6twEbaIvhzFf5t54PuXeePrQ0REVHJl9XlasaoaKndyuRxr16xFw0YNkfLnXTh2qCV1pFIlk8mgrOoEZVUnGJJ1SL/yCBu2bcL333+PKu5u6Nf3DfTq1QsdOnSAvX353lopMzMTERER2L17N7Zs3YpbN2/C2lYFq5rOcH2lEayr2JVrnvKUfikOGfeTsHbvZhYYRERERFTqOPWaSszPzw/ffP0N0q88QsbNRKnjlBmFgwr2QdXg9FYjuLwegHRvK6zdsh69evWCi4sLWrdpjU8//RQ7d+7EgwcPSv285idPnuDAgQOYM2cOunbrCidnZ7Rv3x6Lln6Nh9bJcO5eHy5vN4FjW78KXSRnJaYhLfI+xo8fj86dO0sdhyqAxMREDB48GI6OjnB2dsaoUaPyPc0iMTEREydORP369WFjY4Pq1avj/fffh0ZTMU5BISIiIh5RplIycuRI7Nq9C7/+thvW7nZQOKikjlRmZDIZlF4OUHo5QLwsYNBkQH9fg3MPr+DMN+egD8sAADi7uiCgQQP41/dHzZo1Ua1aNXh6eqJKlSpwdHSEjY0NlEolACArKwvp6elITk5GYmIi4uPjERMTg9u3b+PatWu4eOkiYh/GAgCs1Naw8rCHVSNXuFarCSs3O4u+vVNRiCwjUg7dQp3adTBv3jyp41AFMXjwYDx8+BD79u1DZmYmRo4ciTFjxmDDhg25tn/w4AEePHiA+fPnIyAgAHfu3MHYsWPx4MEDbN26tZzTExERUVngOcoF4DlkhffkyRM0atIYj7OS4fRafcgUlW/CghACxhQ9MhNSkZWYhqwnGZClZMKQokNmqq5I27JSK2HloIKwt4LCSQ0rV1tYu9lB4ayuNIXxi7RHbsFwMwlnTp9Bo0aNpI5j9vj+VbCoqCgEBATg1KlTCAoKAgCEh4ejR48euH//Pnx8fAq1nS1btmDIkCFITU2FlVXhvoPm60NERFRyPEeZzJ6Liwt+2foz2rZti5QT9+DQpobUkcqdTCaDwkH19Ih6TddsjwmDEcb0TBh1WRB6I0SWATD+//dUchlkCjlk1grIVQrIbawhszaPC4WZi/Qrj5AeFY/vvvuORTKVmoiICDg7O5uKZAAICQmBXC7HyZMn0bdv30Jt59mHc35Fsk6ng073vy/MtFpt8YMTERFRmap8h/yoTAUHB2PRokVIuxiL9GsJUscxKzKFHAp7Fayr2EHp7QCVrzNUNVyeLr7OUPo4Pp227qhmkfyCzEepSD1+ByNGjMCoUaOkjkMVSGxsLDw8PLKts7KygqurK2JjYwu1jYSEBMyePRtjxozJt11YWBicnJxMi6+vb7FzExERUdlioUylbvz48Rg6dChSj95G5iPzv+8wmTdDWiZS9t9Ak8ZN8O2330odhyzE5MmTIZPJ8l2io6NLvB+tVouePXsiICAAM2bMyLftlClToNFoTMu9e/dKvH8iIiIqG5x6TaVOJpNhxYoVuBx1GRf2XYLj6w2gsFNKHYsskMgyImX/dTip7bFzx06o1WqpI5GFmDRpEkaMGJFvm1q1asHLywvx8fHZ1mdlZSExMRFeXl759k9OTka3bt3g4OCAbdu2wdraOt/2KpUKKlXFvdAhERFRRcJCmcqEWq3Grzt/RWCLICTuvQ7HnvUhV3I6MRWeEALaP27CmJiBXUf2oVq1alJHIgvi7u4Od3f3Atu1atUKSUlJOHPmDAIDAwEABw8ehNFoRHBwcJ79tFotunbtCpVKhZ07+SUOERFRRcOp11RmvL29Ef7b71CkGpF84AaEwSh1JLIgKSfuQXcjET9t+AktW7aUOg5VUA0aNEC3bt0wevRoREZG4vjx45gwYQIGDhxouuJ1TEwM/P39ERkZCeBpkdylSxekpqZi1apV0Gq1iI2NRWxsLAwGg5TDISIiolLCQpnKVJMmTbBzxw5kPUiG9o9b4N3IqDBS/3qItL8fYvHixXjjjTekjkMV3Pr16+Hv749OnTqhR48eaNu2LVasWGF6PDMzE1euXEFaWhoA4OzZszh58iQuXLiAOnXqwNvb27TwvGMiIqKKgfdRLgDvc1k6Nm/ejIEDB0Id4AGHNjUq7X2AqWBpUfFIPnILU6ZMwZw5c6SOY9H4/mXe+PoQERGVHO+jTBbtrbfegkajwZgxYyBTyGH/si+LZcoh/WoCko/exrhx4/DFF19IHYeIiIiIKikWylRuRo8ejfT0dHzwwQeADLAPZrFM/5N+LQHJh29i5IgRWLJkCX83iIiIiEgyLJSpXL3//vswGo346KOPAKOAfavqLIgI6VceQfvHLQwfNgzfffcd5HJePoGIiIiIpMNCmcrdhx9+CGtra0yYMAEiywiHtn6QyVksV1ZpF2ORfPwO3nnnHfz3v/9lkUxEREREkmOhTJIYP3487Ozs8I9RoyB0Bjh2rAWZggVSZSKEQOqZGKSeicFHH32EBQsWcHYBEREREZkFViYkmREjRmDbL7/AGJMM7e9XYdRlSR2JyokwGJF85DZSz8QgLCyMRTIRERERmRWLKZQTExMxePBgODo6wtnZGaNGjUJKSkqh+goh0L17d8hkMmzfvr1sg1KRvP766zh44CBUqYB2ZzSyNBlSR6IyZtRlQbvnOvTXHmPt2rWYPHkyi2QiIiIiMisWUygPHjwYly5dwr59+7Br1y4cOXIEY8aMKVTfxYsX8w9xM9amTRtEnoyEj4sntDujoX+glToSlZEsTQa0O6NhrTFg7969GDZsmNSRiIiIiIhysIhCOSoqCuHh4fjuu+8QHByMtm3b4ptvvsHGjRvx4MGDfPueP38eCxYswOrVq8spLRVHvXr1cDryFNoEt0bS7mikXYiFEELqWFSKdHeToNkehaquXjh96hQ6duwodSQiIiIiolxZRKEcEREBZ2dnBAUFmdaFhIRALpfj5MmTefZLS0vD22+/jaVLl8LLy6s8olIJuLq6Yt/evfjg/Q+Q/OcdaA/egDHTIHUsKiFhFEg5fR9J4VfRpWMIzpw6jXr16kkdi4iIiIgoTxZRKMfGxsLDwyPbOisrK7i6uiI2NjbPfh999BFat26N119/vdD70ul00Gq12RYqP1ZWVli0aBE2btwI2YN0aLdHIfNxqtSxqJgMqXpof7+KtHMPMWvmTPz6669wdnaWOhYRERERUb4kLZSfXcQnvyU6OrpY2965cycOHjyIxYsXF6lfWFgYnJycTIuvr2+x9k8lM2DAAJw7exZ1qtZE0vYoTsW2QLo7T6D55TIc9NbYv28fPv/8c94jmYiIiIgsgqT3UZ40aRJGjBiRb5tatWrBy8sL8fHx2dZnZWUhMTExzynVBw8exI0bN3IcverXrx/atWuHw4cP59pvypQpCA0NNf2s1WpZLEukfv36OB15Cp988gm+/vprZN7TwP4VPyjsVVJHo3wY9QakRNxBevQj9OjRA2vWrIG7u7vUsYiIiIiICk0mLOAwXVRUFAICAnD69GkEBgYCAPbu3Ytu3brh/v378PHxydEnNjYWCQkJ2dY1btwYX331FXr16oWaNWsWat9arRZOTk7QaDRwdHQs+WCoWPbu3YthI4bjceJj2ARXg42/O69kboZ09zVIO3YHikxg0cJFGDNmDF8nCfH9y7zx9SEiIiq5svo8tYh5kA0aNEC3bt0wevRoREZG4vjx45gwYQIGDhxoKpJjYmLg7++PyMhIAICXlxcaNWqUbQGA6tWrF7pIJvPRpUsXRF+OwpBBg5F85Ba0u68gKyld6lj0/4zpmdAcuoGk3dF4uVkLXLp4Ce+++y6LZCIiIiKySBZRKAPA+vXr4e/vj06dOqFHjx5o27YtVqxYYXo8MzMTV65cQVpamoQpqSw5Ozvj+++/x759++Bh7YwnP19CSuQ9CF4ZWzLCKJB2OR5JWy5CGafHypUrcfjQYX4ZRUREREQWzSKmXkuJU+PMU3p6OsLCwvDll19CpraCTcuqUNV25RHMcqR/qEXaifvQxSdj2LBhmDdvXo6r05O0+P5l3vj6EBERlVylnnpN9CIbGxvMmjULUVFR6PxKR2gOXIdmRzT0D3g7r7KW9SQdmr3X8GRnFBr61sWff/6JtWvXskgmIiIiogqDhTJZtNq1a2PXrl04dOgQ/H1q4cmvUdD8fhWZj1KkjlbhGJJ10By+icQtF1AlyxY//vgjTkWeQqtWraSORlQiiYmJGDx4MBwdHeHs7IxRo0YhJSX/95B3330XtWvXho2NDdzd3fH6668X+3aGREREZH5YKFOF0KFDB5w9fQabN29GNZUbEn+5BE34Vehjk6WOZvGyNBnQ/HETjzf+Dd3VBCxatAg3rl3HkCFDeF9kqhAGDx6MS5cuYd++fdi1axeOHDmCMWPG5NsnMDAQ33//PaKiorBnzx4IIdClSxcYDLxmAhERUUXAc5QLwHPILI/BYMDGjRsxc9YsXLt6FWofJ6ibeEJZ3ZnnMBdBZnwK0v6Ohe5mIlzdqmDKJ5MxduxY2NnZSR2NConvXwV7dvvBU6dOISgoCAAQHh6OHj165Hn7wdz8/fffaNq0Ka5fv47atWsXqg9fHyIiopLjOcpEhaRQKDB48GBER0Xh559/RqOqdZEUfhWaLZeQdiEWRl2W1BHNljAYkX49AZqdUUjcdgmeRgcsXboU9+/ew6RJk1gkU4UTEREBZ2dnU5EMACEhIZDL5Th58mShtpGamorvv/8eNWvWhK+vb57tdDodtFpttoWIiIjMEwtlqrDkcjneeOMNnIo8hePHj6NXSA+knbyPxA1/QXP4JvSxyeCEiqeynqQj+cRdPPnpb2gP3EDLes2wbds23Lh2HePGjYNarZY6IlGZiI2NzXEhOisrK7i6uiI2NjbfvsuWLYO9vT3s7e3x+++/Y9++fVAqlXm2DwsLg5OTk2nJr6gmIiIiabFQpkqhdevW2LJ5M+7du4fpU6ehSpoKT3ZchmbLJaScuY8sTYbUEcudIS0TaRdjodkRhceb/4bV7VSMG/UuLl26hD8O/4E+ffpAoVBIHZOoWCZPngyZTJbvUtKLbw0ePBjnzp3DH3/8gXr16uGtt95CRkbe7yVTpkyBRqMxLffu3SvR/omIiKjs8BzlAvAcsorJaDTi0KFDWLt2Lbb+/DPS09Kg9nCAooYT1H4uULjYVMjzmQ0pOuhuP0HmHQ10MRrIFXJ07dIVI0aMQK9evXjkuIKpzO9fjx49wuPHj/NtU6tWLaxbtw6TJk3CkydPTOuzsrKgVquxZcsW9O3bt1D70+v1cHFxwXfffYdBgwYVqk9lfn2IiIhKS1l9nlqV2paILIhcLkenTp3QqVMn/Pe//8Xu3buxZcsW/LprFx6fug+Vky3kVe2h9HWC0tsRcpVl/lMRWUZkxiVDd18DY0wKMh4lQ2GlwKsdXsWA6QPQt29fVKlSReqYRKXO3d0d7u7uBbZr1aoVkpKScObMGQQGBgIADh48CKPRiODg4ELvTwgBIQR0Ol2xMxMREZH54BHlAvAb/8olIyMDhw4dwu7du/Hrrl9x985dyGQyqDwcIPe0hbWnA6w97aGwy/s8RCkZdVnIjEtBZlwKDHGp0Mclw5hlgKtbFXTv2g2vvfYaunfvDicnJ6mjUjng+1fhdO/eHXFxcVi+fDkyMzMxcuRIBAUFYcOGDQCAmJgYdOrUCT/88ANatmyJmzdvYtOmTejSpQvc3d1x//59fPnllzh+/DiioqJynPOcF74+REREJccjykTlQK1Wo3v37ujevTuWLFmCmzdv4uDBgzh06BAO/3EYD/6+BgBQOthA5qqGlasNFK42sHKxgZWjGjLr8jmnVxiMMCTrkPUk/enyOA14ooPuSSoAwNnFGR3bvYJXO3RAx44d0bhxY97zmCgP69evx4QJE9CpUyfI5XL069cPX3/9tenxzMxMXLlyBWlpaQCevk8cPXoUixcvxpMnT+Dp6YlXXnkFf/75Z6GLZCIiIjJvPKJcAH7jT8+LiYlBZGQkTp06hTNnz+D8+fOIj4s3Pa5ysIHMXgnYWUFup4Tc1hpyG2vIVVaQq6wgUyogs5JDZiUH5DLg2XnQQgBGAWEwQmQZITINMOoMEBlZMGZkwpiWCUOqHiIlE0jLgl6bBmF8+k/X0ckRTZo0QVBgEAIDA9GyZUvUrVu3Qp5jTUXD9y/zxteHiIio5HhEmcgMVK1aFX379s12gZ8nT54gKioKV69exY0bN3D79m3cvnMbd+/dQ/zVOGSkl+yK2tbW1qji7gbfajVRq3ktVK9eHbVr10a9evXg7+8PLy8vFsVERERERKWIhTJRCbm4uKB169Zo3bp1ro+npqbi8ePHSEpKglarRWpqKjIyMqDX62E0GiGEgEKhgLW1NVQqFezs7ODg4AAnJydUqVIFjo6OLISJiIiIiMoRC2WiMmZnZwc7OztUr15d6ihERERERFQIvLoPERERERER0XNYKBMRERERERE9h4UyERERERER0XNYKBMRERERERE9h4UyERERERER0XNYKBMRERERERE9h4UyERERERER0XNYKBMRERERERE9h4UyERERERER0XNYKBMRERERERE9h4UyERERERER0XNYKBMRERERERE9x2IK5cTERAwePBiOjo5wdnbGqFGjkJKSUmC/iIgIdOzYEXZ2dnB0dMQrr7yC9PT0ckhMRERERERElshiCuXBgwfj0qVL2LdvH3bt2oUjR45gzJgx+faJiIhAt27d0KVLF0RGRuLUqVOYMGEC5HKLGTYRERERERGVM5kQQkgdoiBRUVEICAjAqVOnEBQUBAAIDw9Hjx49cP/+ffj4+OTa7+WXX0bnzp0xe/bsYu9bq9XCyckJGo0Gjo6Oxd4OEVF54/uXeePrQ0REVHJl9XlqEYdWIyIi4OzsbCqSASAkJARyuRwnT57MtU98fDxOnjwJDw8PtG7dGp6enmjfvj2OHTtWXrGJiMgCFPfUHgAQQqB79+6QyWTYvn172QYlIiKicmMRhXJsbCw8PDyyrbOysoKrqytiY2Nz7XPz5k0AwIwZMzB69GiEh4fjpZdeQqdOnXDt2rU896XT6aDVarMtRERUcRXn1J5nFi9eDJlMVsYJiYiIqLxJWihPnjwZMpks3yU6OrpY2zYajQCAd999FyNHjkTz5s2xaNEi1K9fH6tXr86zX1hYGJycnEyLr69vsfZPRETmLyoqCuHh4fjuu+8QHByMtm3b4ptvvsHGjRvx4MGDfPueP38eCxYsyPczhYiIiCyTlZQ7nzRpEkaMGJFvm1q1asHLywvx8fHZ1mdlZSExMRFeXl659vP29gYABAQEZFvfoEED3L17N8/9TZkyBaGhoaaftVoti2UiogqqoFN7+vbtm2u/tLQ0vP3221i6dGmen0NERERkuSQtlN3d3eHu7l5gu1atWiEpKQlnzpxBYGAgAODgwYMwGo0IDg7OtY+fnx98fHxw5cqVbOuvXr2K7t2757kvlUoFlUpVhFEQEZGlKs6pPQDw0UcfoXXr1nj99dcLvS+dTgedTmf6WaPRAABP8SEiIiqBZ5+jpX2NakkL5cJq0KABunXrhtGjR2P58uXIzMzEhAkTMHDgQNMVr2NiYtCpUyf88MMPaNmyJWQyGf75z39i+vTpaNq0KZo1a4a1a9ciOjoaW7dulXhERERUliZPnoy5c+fm2yYqKqpY2965cycOHjyIc+fOFalfWFgYZs6cmWM9Zy0RERGV3OPHj+Hk5FRq27OIQhkA1q9fjwkTJqBTp06Qy+Xo168fvv76a9PjmZmZuHLlCtLS0kzrPvzwQ2RkZOCjjz5CYmIimjZtin379qF27dpSDIGIiMpJWZ7ac/DgQdy4cQPOzs7Z1vfr1w/t2rXD4cOHc+334qk9SUlJqFGjBu7evVuqH+zm5tkpTPfu3avwt8GqLGOtLOMEKs9YK8s4AY61ItJoNKhevTpcXV1LdbsWcR9lKfE+l0Rkqfj+VbCoqCgEBATg9OnTplN79u7di27duuH+/fumWUvPi42NRUJCQrZ1jRs3xldffYVevXqhZs2ahdp3ZXl9Kss4gcoz1soyTqDyjLWyjBPgWCuishqnxRxRJiIiKm3FObXHy8sr16PN1atXL3SRTERERObNIu6jTEREVFbWr18Pf39/dOrUCT169EDbtm2xYsUK0+O5ndpDREREFRuPKBMRUaXm6uqKDRs25Pm4n59fgVfSLM5ZTCqVCtOnT6/wd1qoLOMEKs9YK8s4gcoz1soyToBjrYjKapw8R7kAlWVuPxFVPHz/IiIiIioeTr0mIiIiIiIieg4LZSIiIiIiIqLnsFAmIiIiIiIieg4LZSIionKQmJiIwYMHw9HREc7Ozhg1ahRSUlLy7RMbG4uhQ4fCy8sLdnZ2eOmll/Dzzz+XU+LiK85YASAiIgIdO3aEnZ0dHB0d8corryA9Pb0cEhdfcccKPL0IXPfu3SGTybB9+/ayDVpCRR1nYmIiJk6ciPr168PGxgbVq1fH+++/D41GU46pC2fp0qXw8/ODWq1GcHAwIiMj822/ZcsW+Pv7Q61Wo3Hjxvjtt9/KKWnJFGWcK1euRLt27eDi4gIXFxeEhIQU+LyYk6K+ps9s3LgRMpkMffr0KduApaSo40xKSsL48ePh7e0NlUqFevXqVcjfXwBYvHix6f3H19cXH330ETIyMoq2U0H50mg0AoDQaDRSRyEiKhK+f5mXbt26iaZNm4oTJ06Io0ePijp16ohBgwbl26dz586iRYsW4uTJk+LGjRti9uzZQi6Xi7Nnz5ZT6uIpzlj//PNP4ejoKMLCwsTFixdFdHS02LRpk8jIyCin1MVTnLE+s3DhQtG9e3cBQGzbtq1sg5ZQUcd54cIF8cYbb4idO3eK69eviwMHDoi6deuKfv36lWPqgm3cuFEolUqxevVqcenSJTF69Gjh7Ows4uLicm1//PhxoVAoxH/+8x9x+fJlMXXqVGFtbS0uXLhQzsmLpqjjfPvtt8XSpUvFuXPnRFRUlBgxYoRwcnIS9+/fL+fkRVfUsT5z69YtUbVqVdGuXTvx+uuvl0/YEijqOHU6nQgKChI9evQQx44dE7du3RKHDx8W58+fL+fkRVfUsa5fv16oVCqxfv16cevWLbFnzx7h7e0tPvrooyLtl4VyAfiHJhFZKr5/mY/Lly8LAOLUqVOmdb///ruQyWQiJiYmz352dnbihx9+yLbO1dVVrFy5ssyyllRxxxocHCymTp1aHhFLTXHHKoQQ586dE1WrVhUPHz40+0K5JON83ubNm4VSqRSZmZllEbNYWrZsKcaPH2/62WAwCB8fHxEWFpZr+7feekv07Nkz27rg4GDx7rvvlmnOkirqOF+UlZUlHBwcxNq1a8sqYqkpzlizsrJE69atxXfffSeGDx9uEYVyUcf57bffilq1agm9Xl9eEUtNUcc6fvx40bFjx2zrQkNDRZs2bYq0X069JiIiKmMRERFwdnZGUFCQaV1ISAjkcjlOnjyZZ7/WrVtj06ZNSExMhNFoxMaNG5GRkYEOHTqUQ+riKc5Y4+PjcfLkSXh4eKB169bw9PRE+/btcezYsfKKXSzFfV3T0tLw9ttvY+nSpfDy8iqPqCVS3HG+6Nmt6qysrMoiZpHp9XqcOXMGISEhpnVyuRwhISGIiIjItU9ERES29gDQtWvXPNubg+KM80VpaWnIzMyEq6trWcUsFcUd66xZs+Dh4YFRo0aVR8wSK844d+7ciVatWmH8+PHw9PREo0aNMGfOHBgMhvKKXSzFGWvr1q1x5swZ0/Tsmzdv4rfffkOPHj2KtG/zeKciIiKqwGJjY+Hh4ZFtnZWVFVxdXREbG5tnv82bN2PAgAGoUqUKrKysYGtri23btqFOnTplHbnYijPWmzdvAgBmzJiB+fPno1mzZvjhhx/QqVMnXLx4EXXr1i3z3MVR3Nf1o48+QuvWrfH666+XdcRSUdxxPi8hIQGzZ8/GmDFjyiJisSQkJMBgMMDT0zPbek9PT0RHR+faJzY2Ntf2hX0epFCccb7ok08+gY+PT44vCcxNccZ67NgxrFq1CufPny+HhKWjOOO8efMmDh48iMGDB+O3337D9evX8d577yEzMxPTp08vj9jFUpyxvv3220hISEDbtm0hhEBWVhbGjh2LTz/9tEj75hFlIiKiYpo8eTJkMlm+S2H/EM3N559/jqSkJOzfvx+nT59GaGgo3nrrLVy4cKEUR1E4ZTlWo9EIAHj33XcxcuRING/eHIsWLUL9+vWxevXq0hxGoZTlWHfu3ImDBw9i8eLFpRu6GMr69/cZrVaLnj17IiAgADNmzCh5cCpXX375JTZu3Iht27ZBrVZLHadUJScnY+jQoVi5ciXc3NykjlOmjEYjPDw8sGLFCgQGBmLAgAH47LPPsHz5cqmjlbrDhw9jzpw5WLZsGc6ePYtffvkFu3fvxuzZs4u0HR5RJiIiKqZJkyZhxIgR+bapVasWvLy8EB8fn219VlYWEhMT85x6e+PGDSxZsgQXL15Ew4YNAQBNmzbF0aNHsXTp0nL/46Ysx+rt7Q0ACAgIyLa+QYMGuHv3bvFDF1NZjvXgwYO4ceMGnJ2ds63v168f2rVrh8OHD5cgedGU5TifSU5ORrdu3eDg4IBt27bB2tq6pLFLjZubGxQKBeLi4rKtj4uLy3NcXl5e/9fe/QdFXed/AH/yaxcRlhUBgQtRfgSmSxAeO+tZNCdjqFN6VuaPIy2D7tK6ZjwnvNNIvU407vTG6erOQ+yXcWpnMYqmkMyZInacFgKhcDAGhRXILzEU9vX9oy87+xFQdoVdVp6PmR3z/Xl9Pvt8v7FlX3zYz8ei+uHAmnn2yMzMREZGBvLz8xEdHT2UMQeFpXOtrq5GbW0tHn74YdNYzw/uXF1dUVlZibCwsKENbQVrvqaBgYFwc3ODi4uLaWzSpEloaGjAtWvXoFKphjSztayZ67p165CcnIxnnnkGAKDT6XDlyhWkpqbi97//PZydB3aumI0yERGRlfz8/ODn53fLOoPBgObmZpSUlCAuLg7Ajw2T0WiEXq/vc5+Ojg4A6PUN3cXFxfRGzpaGcq4TJkxAUFAQKisrFePnz5/HrFmzbj+8hYZyrmlpaaY3bz10Oh22bt2qeLNuC0M5T+DHM8kPPfQQ1Go1cnNzh93ZSJVKhbi4OBQUFJhuB2Q0GlFQUICVK1f2uY/BYEBBQQFefPFF09jRo0dhMBhskNg61swTALZs2YJXX30VH3/8seLz6cOZpXONiorq9Rs6a9euRVtbG/7yl78gODjYFrEtZs3X9Gc/+xl2794No9Fo+r5y/vx5BAYGDtsmGbBurh0dHX1+7wR+vC3fgFl61bGRhleNJSJHxdev4SUpKUliY2OluLhYPv30U4mIiFDcXqeurk4iIyOluLhYRESuXbsm4eHhcv/990txcbFUVVVJZmamODk5ycGDB+01jQGxdK4iIlu3bhWNRiN79+6VCxcuyNq1a8Xd3V2qqqrsMYUBs2auN8Iwv+q1iOXzbGlpEb1eLzqdTqqqquSbb74xPbq6uuw1jV5ycnJErVbLrl27pLy8XFJTU0Wr1UpDQ4OIiCQnJ0taWpqp/sSJE+Lq6iqZmZlSUVEh6enpDnN7KEvmmZGRISqVSvbt26f42rW1tdlrCgNm6Vxv5ChXvbZ0nhcvXhQvLy9ZuXKlVFZWyoEDB8Tf31/+8Ic/2GsKA2bpXNPT08XLy0vef/99+d///idHjhyRsLAwWbBggUXPy0b5FvhGk4gcFV+/hpfGxkZZtGiReHp6ikajkaeeekrxprOmpkYAyLFjx0xj58+fl/nz54u/v794eHhIdHR0r9tFDUfWzFVEZNOmTXLXXXeJh4eHGAwGOX78uI2TW87auZpzhEbZ0nkeO3ZMAPT5qKmpsc8k+rF9+3YZP368qFQqiY+Pl1OnTpm2JSQkyNKlSxX1e/bskbvvvltUKpVMnjx52P/gqocl8wwJCenza5eenm774Faw9GtqzlEaZRHL53ny5EnR6/WiVqslNDRUXn311WH1g6ubsWSu169fl1deeUXCwsLE3d1dgoOD5bnnnpPLly9b9JxOIpacfx55Wltb4e3tbbqlARGRo+DrFxEREZF1eNVrIiIiIiIiIjNslImIiIiIiIjMsFEmIiIiIiIiMsNGmYiIiIiIiMgMG2UiIiIiIiIiM2yUiYiIiIiIiMywUSYiIiIiIiIyw0aZiIiIiIiIyAwbZSIiIiIiIiIzDtMoNzU1YcmSJdBoNNBqtVi+fDna29tvuk9DQwOSk5MREBCA0aNH47777sMHH3xgo8RERERERETkiBymUV6yZAnKyspw9OhRHDhwAP/+97+Rmpp6032efPJJVFZWIjc3F6WlpZg/fz4WLFiAM2fO2Cg1ERERERERORqHaJQrKipw+PBh/OMf/4Ber8f06dOxfft25OTk4Ouvv+53v5MnT+L5559HfHw8QkNDsXbtWmi1WpSUlNgwPRERERE5irfffhtjx45FZ2enYnzevHlITk62UyoisjWHaJSLioqg1WoxdepU01hiYiKcnZ1RXFzc737Tpk3DP//5TzQ1NcFoNCInJwc//PADHnzwQRukJiIiIiJH8/jjj6O7uxu5ubmmsW+//RYHDx7E008/bcdkRGRLrvYOMBANDQ3w9/dXjLm6usLHxwcNDQ397rdnzx488cQTGDt2LFxdXeHh4YH9+/cjPDy83306OzsVP0FsaWkBALS2tt7mLIiIbKvndUtE7JyEiMhxjBo1CosXL0Z2djYef/xxAMC7776L8ePH82QL0Qhi10Y5LS0NmzdvvmlNRUWF1cdft24dmpubkZ+fD19fX3z44YdYsGABjh8/Dp1O1+c+mzZtwvr163uNBwcHW52DiMie2tra4O3tbe8YREQOIyUlBT/96U9RX1+Pn/zkJ9i1axeWLVsGJycne0cjIhtxEjueavjuu+/Q2Nh405rQ0FC8++67WLVqFS5fvmwa7+rqgru7O/bu3Ytf/OIXvfarrq5GeHg4zp07h8mTJ5vGExMTER4ejjfffLPP57vxjLLRaERTUxPGjh3b74tja2srgoOD8dVXX0Gj0dx0PsMR89uPI2cHHDu/I2cHBpZfRNDW1oagoCA4OzvEJ22IiIaNuLg4PPbYY5g5cybi4+NRW1vLEydEI4hdzyj7+fnBz8/vlnUGgwHNzc0oKSlBXFwcAOCTTz6B0WiEXq/vc5+Ojg4A6PXm0MXFBUajsd/nUqvVUKvVijGtVnvLjACg0Wgc8g13D+a3H0fODjh2fkfODtw6P88kExFZ55lnnsG2bdtQX1+PxMRENslEI4xDnGKYNGkSkpKSkJKSgtOnT+PEiRNYuXIlFi5ciKCgIABAfX09oqKicPr0aQBAVFQUwsPD8eyzz+L06dOorq7Gn/70Jxw9ehTz5s2z42yIiIiIaLhbvHgx6urqsGPHDl7Ei2gEcohGGQDee+89REVFYcaMGZg9ezamT5+Ov//976bt169fR2VlpelMspubG/Ly8uDn54eHH34Y0dHRePvtt/HWW29h9uzZ9poGERERETkAb29vPProo/D09ORJFqIRyCGueg0APj4+2L17d7/bJ0yY0OvKrhEREfjggw+GOhrUajXS09N7/cq2o2B++3Hk7IBj53fk7IDj5ycicgT19fVYsmQJX2uJRiC7XsyLiIiIiGi4uXz5MgoLC/HYY4+hvLwckZGR9o5ERDbmMGeUiYiIiIhsITY2FpcvX8bmzZvZJBONUDyjTERERERERGTGYS7mRURERERERGQLbJQHqKmpCUuWLIFGo4FWq8Xy5cvR3t7eb31tbS2cnJz6fOzdu9dU19f2nJwcu2YHgAcffLBXrl/96leKmosXL2LOnDnw8PCAv78/Vq9eja6urkHNbk3+pqYmPP/884iMjMSoUaMwfvx4vPDCC2hpaVHUDdXav/7665gwYQLc3d2h1+tNtyzrz969exEVFQV3d3fodDrk5eUptosIXn75ZQQGBmLUqFFITEzEhQsXbjvn7WbfsWMH7r//fowZMwZjxoxBYmJir/ply5b1WuOkpKQhyW5p/l27dvXK5u7urqgZrmvf1/+fTk5OmDNnjqnG1mtPREREdEcRGpCkpCS599575dSpU3L8+HEJDw+XRYsW9Vvf1dUl33zzjeKxfv168fT0lLa2NlMdAMnOzlbUXb161a7ZRUQSEhIkJSVFkaulpUUxvylTpkhiYqKcOXNG8vLyxNfXV9asWTOo2a3JX1paKvPnz5fc3FypqqqSgoICiYiIkEcffVRRNxRrn5OTIyqVSnbu3CllZWWSkpIiWq1WLl261Gf9iRMnxMXFRbZs2SLl5eWydu1acXNzk9LSUlNNRkaGeHt7y4cffiiff/65PPLIIzJx4sRB/3diafbFixfL66+/LmfOnJGKigpZtmyZeHt7S11dnalm6dKlkpSUpFjjpqamQc1tbf7s7GzRaDSKbA0NDYqa4br2jY2Nitznzp0TFxcXyc7ONtXYcu2JiIiI7jRslAegvLxcAMhnn31mGjt06JA4OTlJfX39gI8TExMjTz/9tGIMgOzfv3+wovZibfaEhAT5zW9+0+/2vLw8cXZ2VjQWb7zxhmg0Guns7ByU7CKDt/Z79uwRlUol169fN40NxdrHx8fLihUrTH/v7u6WoKAg2bRpU5/1CxYskDlz5ijG9Hq9PPvssyIiYjQaJSAgQF577TXT9ubmZlGr1fL+++/bNfuNurq6xMvLS9566y3T2NKlS2Xu3LmDmrM/lubPzs4Wb2/vfo/nSGu/detW8fLykvb2dtOYLdeeiIiI6E7DX70egKKiImi1WkydOtU0lpiYCGdnZxQXFw/oGCUlJTh79iyWL1/ea9uKFSvg6+uL+Ph47Ny5s9f9oO2V/b333oOvry+mTJmCNWvWoKOjQ3FcnU6HcePGmcYeeughtLa2oqysbFjkN9fS0gKNRgNXV+WF3gdz7a9du4aSkhIkJiaaxpydnZGYmIiioqI+9ykqKlLUAz+uY099TU0NGhoaFDXe3t7Q6/X9HtNW2W/U0dGB69evw8fHRzFeWFgIf39/REZG4te//jUaGxsHLXcPa/O3t7cjJCQEwcHBmDt3ruLfriOtfVZWFhYuXIjRo0crxm2x9kRERER3It4eagAaGhrg7++vGHN1dYWPjw8aGhoGdIysrCxMmjQJ06ZNU4xv2LABP//5z+Hh4YEjR47gueeeQ3t7O1544QW7Zl+8eDFCQkIQFBSEL774Ai+99BIqKyvxr3/9y3Rc8yYZgOnvA12Tocxv7vvvv8fGjRuRmpqqGB/stf/+++/R3d3d57p8+eWXfe7T3zr2zK3nz5vVDAZrst/opZdeQlBQkKLhS0pKwvz58zFx4kRUV1fjd7/7HWbNmoWioiK4uLjYNX9kZCR27tyJ6OhotLS0IDMzE9OmTUNZWRnuuusuh1n706dP49y5c8jKylKM22rtiYiIiO5EI7pRTktLw+bNm29aU1FRcdvPc/XqVezevRvr1q3rtc18LDY2FleuXMFrr712y2ZtqLObN5U6nQ6BgYGYMWMGqqurERYWZvVxe9hq7VtbWzFnzhzcc889eOWVVxTbrF176i0jIwM5OTkoLCxUXBBr4cKFpv/W6XSIjo5GWFgYCgsLMWPGDHtENTEYDDAYDKa/T5s2DZMmTcLf/vY3bNy40Y7JLJOVlQWdTof4+HjF+HBeeyIiIqLhbkQ3yqtWrcKyZctuWhMaGoqAgAB8++23ivGuri40NTUhICDgls+zb98+dHR04Mknn7xlrV6vx8aNG9HZ2Qm1Wm337Oa5AKCqqgphYWEICAjodVXeS5cuAcCAjmuL/G1tbUhKSoKXlxf2798PNze3m9YPdO374+vrCxcXF9M69Lh06VK/WQMCAm5a3/PnpUuXEBgYqKiJiYmxOONgZu+RmZmJjIwM5OfnIzo6+qa1oaGh8PX1RVVV1aA2a7eTv4ebmxtiY2NRVVUFwDHW/sqVK8jJycGGDRtu+TxDtfZEREREd6IR/RllPz8/REVF3fShUqlgMBjQ3NyMkpIS076ffPIJjEajqYG8maysLDzyyCPw8/O7Ze3Zs2cxZsyYWzZqtspunguAqWEwGAwoLS1VNLFHjx6FRqPBPffcc8vjDXX+1tZWzJw5EyqVCrm5ub1u+9PfHAey9v1RqVSIi4tDQUGBacxoNKKgoEBx5tKcwWBQ1AM/rmNP/cSJExEQEKCoaW1tRXFxcb/HtFV2ANiyZQs2btyIw4cPKz5H3p+6ujo0NjYqGs/BYG1+c93d3SgtLTVlG+5rD/x4a7HOzk788pe/vOXzDNXaExEREd2R7H01MUeRlJQksbGxUlxcLJ9++qlEREQoblFUV1cnkZGRUlxcrNjvwoUL4uTkJIcOHep1zNzcXNmxY4eUlpbKhQsX5K9//at4eHjIyy+/bNfsVVVVsmHDBvnPf/4jNTU18tFHH0loaKg88MADpn16bg81c+ZMOXv2rBw+fFj8/PyG7PZQluRvaWkRvV4vOp1OqqqqFLfH6erqEpGhW/ucnBxRq9Wya9cuKS8vl9TUVNFqtaargycnJ0taWpqp/sSJE+Lq6iqZmZlSUVEh6enpfd4eSqvVykcffSRffPGFzJ07d8huUWRJ9oyMDFGpVLJv3z7FGvfc/qytrU1++9vfSlFRkdTU1Eh+fr7cd999EhERIT/88MOgZrcm//r16+Xjjz+W6upqKSkpkYULF4q7u7uUlZUp5jgc177H9OnT5Yknnug1buu1JyIiIrrTsFEeoMbGRlm0aJF4enqKRqORp556SnE/5JqaGgEgx44dU+y3Zs0aCQ4Olu7u7l7HPHTokMTExIinp6eMHj1a7r33XnnzzTf7rLVl9osXL8oDDzwgPj4+olarJTw8XFavXq24j7KISG1trcyaNUtGjRolvr6+smrVKsXtl+yV/9ixYwKgz0dNTY2IDO3ab9++XcaPHy8qlUri4+Pl1KlTpm0JCQmydOlSRf2ePXvk7rvvFpVKJZMnT5aDBw8qthuNRlm3bp2MGzdO1Gq1zJgxQyorK2875+1mDwkJ6XON09PTRUSko6NDZs6cKX5+fuLm5iYhISGSkpLS617F9sr/4osvmmrHjRsns2fPlv/+97+K4w3XtRcR+fLLLwWAHDlypNex7LH2RERERHcSJ5FBvBcRERERERERkYMb0Z9RJiIiIiIiIroRG2UiIiIiIiIiM2yUiYiIiIiIiMywUSYiIiIiIiIyw0aZiIiIiIiIyAwbZSIiIiIiIiIzbJSJiIiIiIiIzLBRJiIiIiIiIjLDRpmIiIiIiIjIDBtlIiIiIiIiIjNslImIiIiIiIjMsFEmsrHvvvsOAQEB+OMf/2gaO3nyJFQqFQoKCuyYjIiIiIiIAMBJRMTeIYhGmry8PMybNw8nT55EZGQkYmJiMHfuXPz5z3+2dzQiIiIiohGPjTKRnaxYsQL5+fmYOnUqSktL8dlnn0GtVts7FhERERHRiMdGmchOrl69iilTpuCrr75CSUkJdDqdvSMRERERERH4GWUiu6mursbXX38No9GI2tpae8chIiIiIqL/xzPKRHZw7do1xMfHIyYmBpGRkdi2bRtKS0vh7+9v72hERERERCMeG2UiO1i9ejX27duHzz//HJ6enkhISIC3tzcOHDhg72hERERERCMef/WayMYKCwuxbds2vPPOO9BoNHB2dsY777yD48eP44033rB3PCIiIiKiEY9nlImIiIiIiIjM8IwyERERERERkRk2ykRERERERERm2CgTERERERERmWGjTERERERERGSGjTIRERERERGRGTbKRERERERERGbYKBMRERERERGZYaNMREREREREZIaNMhEREREREZEZNspEREREREREZtgoExEREREREZlho0xERERERERk5v8AZhwQ9UYGRGoAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 1000x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ring2 = td.ClipOperation(operation=\"difference\", geometry_a=cyl, geometry_b=inner_cyl)\n",
    "\n",
    "fig, ax = plt.subplots(1, 2, figsize=(10, 4), tight_layout=True)\n",
    "\n",
    "_ = ring2.plot(z=0, ax=ax[0])\n",
    "_ = ring2.plot(x=0, ax=ax[1])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4110fa39-1729-4961-a1e4-f6fa72d3e4fa",
   "metadata": {},
   "source": [
    "## Other examples"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "24c6d946-2c91-4351-8b29-37cff1c3befe",
   "metadata": {},
   "source": [
    "### Elliptical ring\n",
    "\n",
    "By starting from a base cylinder with unit radius, we can create an elliptical ring by scaling and subtracting:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "32bd7093-0024-4b88-9492-c6b071db9441",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "base_cyl = td.Cylinder(radius=1, length=0.2)\n",
    "ell_ring = base_cyl.scaled(0.6, 0.4, 1) - base_cyl.scaled(0.4, 0.2, 1)\n",
    "\n",
    "fig, ax = plt.subplots(1, 2, figsize=(10, 4), tight_layout=True)\n",
    "\n",
    "_ = ell_ring.plot(z=0, ax=ax[0])\n",
    "_ = ell_ring.plot(x=0, ax=ax[1])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3a12245c-2609-4503-88a8-e048c99f681b",
   "metadata": {},
   "source": [
    "### Angled waveguide\n",
    "\n",
    "When we want to create a waveguide with angled sidewalls, we don't always want the end facets to be angled as well.\n",
    "We can use an extra box to trim down the facet angle:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "2862f376-9119-412f-9eee-b2cb9992b21f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "angled_sidewalls = td.PolySlab(\n",
    "    vertices=[(0, -0.25), (5, -0.25), (5, 0.25), (0, 0.25)],\n",
    "    reference_plane=\"top\",\n",
    "    sidewall_angle=np.pi / 6,\n",
    "    slab_bounds=(-0.11, 0.11),\n",
    ")\n",
    "\n",
    "waveguide = angled_sidewalls - td.Box(center=(-0.5, 0, 0), size=(1, 1, 0.25))\n",
    "\n",
    "fig, ax = plt.subplots(1, 3, figsize=(12, 4), tight_layout=True)\n",
    "\n",
    "_ = waveguide.plot(x=2.5, ax=ax[0])\n",
    "_ = waveguide.plot(y=0, ax=ax[1])\n",
    "_ = waveguide.plot(z=0, ax=ax[2])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4d0646dc-d212-472e-9ef0-94670299283a",
   "metadata": {},
   "source": [
    "### Pattern intersection\n",
    "\n",
    "Overlapping patterns can be useful, for example, when combining diffraction gratings or creating complex phase plates.\n",
    "The symmetric difference operation (XOR) can be useful in such cases:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "7bd36acd-5c81-4aa5-aeb3-0f70f4ed6ba7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def ring(radius):\n",
    "    outer = td.Cylinder(center=(-2, 0, 0), radius=radius + 0.05, length=0.1, axis=2)\n",
    "    inner = td.Cylinder(center=(-2, 0, 0), radius=radius - 0.05, length=0.1, axis=2)\n",
    "    return outer - inner\n",
    "\n",
    "\n",
    "pattern1 = td.GeometryGroup(geometries=[ring(0.2 * i) for i in range(5, 16)]) * td.Box(\n",
    "    size=(2, 2, 0.1)\n",
    ")\n",
    "\n",
    "_ = pattern1.plot(z=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "57dc1e4f-0c21-4fd6-b383-fbfb4e38ff70",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pattern2 = pattern1.rotated(np.pi / 2, axis=2)\n",
    "\n",
    "pattern_overlap = pattern1 ^ pattern2\n",
    "\n",
    "_ = pattern_overlap.plot(z=0)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "281c2c37-e65f-4bdc-b141-8231778eb976",
   "metadata": {},
   "source": [
    "### Woodpile Photonic Crystal\n",
    "\n",
    "\n",
    "In this example we build the 3D photonic crystal cavity proposed by Léon A. Woldering, Allard P. Mosk, and Willem L. Vos, _Phys. Rev. B_ **90**, 115140 (2014), [doi: 10.1103/PhysRevB.90.115140](https://doi.org/10.1103/PhysRevB.90.115140)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "ef75344c-23a6-4ed6-8f9a-20680c5dc289",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "a = 1.0  # Out-of-plane lattice period\n",
    "c = a * 2**-0.5  # In-plane lattice period\n",
    "r = a * 0.24  # Pore radius\n",
    "r_pert = r * 0.5  # Perturbed pore radius\n",
    "n = 3  # Number of periods (odd for a centered cavity)\n",
    "\n",
    "pores = []\n",
    "\n",
    "length = (n + 1) * c\n",
    "for k in range(n + 1):\n",
    "    y = (k - n * 0.5 - 0.125) * a\n",
    "    for i in range(n + 1):\n",
    "        p = (i - n * 0.5) * c\n",
    "        r_ik = r_pert if k == n // 2 and i == n // 2 else r\n",
    "\n",
    "        # z-aligned pores\n",
    "        pore = td.Cylinder(center=(p, y, 0), length=length, radius=r, axis=2)\n",
    "        pores.append(pore)\n",
    "        if i < n and k < n:\n",
    "            pore = td.Cylinder(\n",
    "                center=(p + 0.5 * c, y + 0.5 * a, 0), length=length, radius=r_ik, axis=2\n",
    "            )\n",
    "            pores.append(pore)\n",
    "\n",
    "        # x-aligned pores\n",
    "        pore = td.Cylinder(center=(0, y + 0.25 * a, p), length=length, radius=r, axis=0)\n",
    "        pores.append(pore)\n",
    "        if i < n and k < n:\n",
    "            pore = td.Cylinder(\n",
    "                center=(0, y + 0.75 * a, p + 0.5 * c), length=length, radius=r_ik, axis=0\n",
    "            )\n",
    "            pores.append(pore)\n",
    "\n",
    "\n",
    "pore_geo = td.Box(size=(n * c, n * a, n * c)) - td.GeometryGroup(geometries=pores)\n",
    "\n",
    "fig, ax = plt.subplots(1, 3, figsize=(12, 4), tight_layout=True)\n",
    "\n",
    "_ = pore_geo.plot(x=0, ax=ax[0])\n",
    "_ = pore_geo.plot(z=0, ax=ax[1])\n",
    "_ = pore_geo.plot(y=0 * a, ax=ax[2])"
   ]
  }
 ],
 "metadata": {
  "description": "This notebook demonstrates how to apply geometry transformations such as rotation, scaling, and boolean operations.",
  "feature_image": "",
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "keywords": "rotation, scaling, boolean, translation, Tidy3D, FDTD",
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.2"
  },
  "title": "Apply Geometry Transformations in Tidy3D | Flexcompute"
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
