{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "eaed683c-c6f1-45e4-aaee-ae4e57209f5f",
   "metadata": {},
   "outputs": [],
   "source": [
    "import scipy as scp\n",
    "from scipy.spatial import Voronoi, voronoi_plot_2d\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "from mpl_toolkits.mplot3d.art3d import Poly3DCollection\n",
    "%matplotlib widget"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "efd84ecd-9fb3-4d2f-9f7a-47cd1ff09eea",
   "metadata": {},
   "outputs": [],
   "source": [
    "class Lattice:\n",
    "    def __init__(self, *vecs):\n",
    "        # if the vecs were put in an iterable\n",
    "        if len(vecs) == 1:\n",
    "            vecs = vecs[0]\n",
    "        if len(vecs)  == 3:\n",
    "            pass\n",
    "        elif len(vecs) == 2:\n",
    "            pass\n",
    "        else: raise ValueError(\"Vecs must contain either 2 or 3 vectors\")\n",
    "        self.dim = len(vecs)\n",
    "        self.vecs = list(vecs)\n",
    "        for i, v in enumerate(self.vecs):\n",
    "            if type(v) != np.ndarray:\n",
    "                self.vecs[i] = np.array(v)\n",
    "            if self.vecs[i].shape != (self.dim,):\n",
    "                raise ValueError(f\"Got {self.dim} vectors, therefore all vectors must be {self.dim} dimensional but vector {i+1} has shape {self.vecs[i].shape}\")\n",
    "        self.vecs = np.array(self.vecs)\n",
    "        self.vec_lengths = np.array([np.linalg.norm(v) for v in self.vecs])\n",
    "        self.center = np.zeros(self.dim)\n",
    "\n",
    "    def get_point(self, *ns):\n",
    "        if len(ns) != len(self.vecs): raise ValueError(f\"Requires one index for each lattice vector {len(self.vecs)}, but got only {ns}\")\n",
    "        point = self.center.copy()\n",
    "        for i, n in enumerate(ns):\n",
    "            point += n * self.vecs[i]\n",
    "        return point\n",
    "\n",
    "    \n",
    "    def get_points_around_center(self, n):\n",
    "        points = []\n",
    "        import itertools\n",
    "        ns = [i for i in range(-n, n+1)]\n",
    "        for n in itertools.product(*[ns for _ in range(self.dim)]):\n",
    "            # print(n)\n",
    "            points.append(self.get_point(*n))\n",
    "        return points"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "515b9133-233b-4a6a-8b2f-a2fca10fea3d",
   "metadata": {},
   "outputs": [],
   "source": [
    "def rot_mat_2D(rad):\n",
    "    return np.array([[np.cos(rad), -np.sin(rad)], [np.sin(rad), np.cos(rad)]])\n",
    "\n",
    "\n",
    "def get_reciprocal_lattice(lattice: Lattice):\n",
    "    if lattice.dim == 2:\n",
    "        rot_90_deg = rot_mat_2D(np.pi / 2)\n",
    "        a1, a2 = lattice.vecs\n",
    "        b1 = 2 * np.pi * rot_90_deg @ a2 / (np.dot(a1, rot_90_deg @ a2))\n",
    "        b2 = 2 * np.pi * rot_90_deg @ a1 / (np.dot(a2, rot_90_deg @ a1))\n",
    "        return Lattice(b1, b2)\n",
    "    elif lattice.dim == 3:\n",
    "        a1, a2, a3 = lattice.vecs\n",
    "        V = np.dot(a1, np.cross(a2, a3))\n",
    "        b1 = 2 * np.pi/V * np.cross(a2, a3)\n",
    "        b2 = 2 * np.pi/V * np.cross(a3, a1)\n",
    "        b3 = 2 * np.pi/V * np.cross(a1, a2)\n",
    "        return Lattice(b1, b2, b3)\n",
    "    else: raise NotImplementedError(f\"Dim must be 2 or 3, but is {lattice.dim}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "2855d08e-70d8-4ef7-ba19-2c06316caf15",
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "def get_elementary_cell(lattice: Lattice):\n",
    "    points = lattice.get_points_around_center(1)\n",
    "    return points\n",
    "\n",
    "def get_orthogonal_2D(vec):\n",
    "    return np.array((vec[1], -vec[0]))\n",
    "\n",
    "def get_unit_cell_vertices(lattice: Lattice, voronoi: Voronoi):\n",
    "    \"\"\"regard only voronoi vertices which are closest to the center <=> their norm is <= 0.5*(norm of the unit vectors added together\n",
    "    \"\"\"\n",
    "    lattice_vec_norm = np.sqrt(np.sum(lattice.vec_lengths**2))\n",
    "    return voronoi.vertices[np.linalg.norm(voronoi.vertices, axis=1) <= 0.5 * lattice_vec_norm]\n",
    "    \n",
    "def plot_unit_cell(lattice, fig_ax=None, vec_label=\"a\", subplot_kw={}):\n",
    "    # get voronoi of the points around the center\n",
    "    points = get_elementary_cell(lattice)\n",
    "    voronoi = Voronoi(points)\n",
    "\n",
    "    if fig_ax:\n",
    "        fig, ax = fig_ax\n",
    "    else:\n",
    "        if lattice.dim == 3:\n",
    "            fig = plt.figure()\n",
    "            ax = fig.add_subplot(1,1,1, projection=\"3d\") \n",
    "        else:\n",
    "            fig, ax = plt.subplots(**subplot_kw) \n",
    "\n",
    "    # unit cell vertices\n",
    "    cell_points = get_unit_cell_vertices(lattice, voronoi)\n",
    "    # sort by polar angle for the fill function\n",
    "    cell_points = list(cell_points)\n",
    "    # print(cell_points)\n",
    "    # print([i for i in map(lambda p: np.arctan2(p[1],p[0]), cell_points)])\n",
    "    if lattice.dim == 2:\n",
    "        cell_points.sort(key=lambda p: np.arctan2(p[1],p[0]))\n",
    "        x_cell, y_cell = zip(*cell_points)\n",
    "        ax.fill(x_cell, y_cell, color=\"#4444\")\n",
    "        ax.scatter(x_cell, y_cell, color=\"orange\")\n",
    "    \n",
    "        # lattice points\n",
    "        x_lat, y_lat = zip(*lattice.get_points_around_center(3))\n",
    "        ax.scatter(x_lat, y_lat, color=\"blue\")\n",
    "    \n",
    "        # lattice vectors\n",
    "        arrowprops = dict(arrowstyle=\"-|>,head_width=0.4,head_length=0.8\", color=\"black\", shrinkA=0,shrinkB=0)\n",
    "        for i, vec in enumerate(lattice.vecs):\n",
    "            ax.annotate(f\"\", xy=lattice.vecs[i], xytext=lattice.center, arrowprops=arrowprops)\n",
    "            if vec_label is not None:\n",
    "                # add name of vector at a perpendicular offset starting at half length\n",
    "                ax.annotate(r\"$\\vec{\"+f\"{vec_label}}}_{i+1}$\", xy=0.7*lattice.vecs[i], xytext=0.7*lattice.vecs[i] + 0.06*get_orthogonal_2D(lattice.vecs[i]))\n",
    "    elif lattice.dim == 3:\n",
    "        ridges = voronoi.ridge_vertices\n",
    "        for ridge in ridges:\n",
    "            verts = voronoi.vertices[ridge]\n",
    "            # print(verts, type(verts), verts.shape, verts.ndim)\n",
    "            ax.add_collection3d(Poly3DCollection([voronoi.vertices[ridge]], edgecolor=\"black\"))\n",
    "            ax.set_xlim(-2, 2)\n",
    "            ax.set_ylim(-2, 2)\n",
    "            ax.set_zlim(-2, 2)\n",
    "    else: raise NotImplementedError(f\"Dim must be 2 or 3, but is {lattice.dim}\")\n",
    "\n",
    "    # limit to 2*lattice vectors\n",
    "    def calc_lim(axis):\n",
    "        lim = 2.05 * np.max(np.abs(lattice.vecs[axis,:]))\n",
    "        return -lim, lim\n",
    "    ax.set_xlim(*calc_lim(0))\n",
    "    ax.set_ylim(*calc_lim(1))\n",
    "    if lattice.dim == 3: ax.set_zlim(*calc_lim(2))\n",
    "    return fig"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "c2faef81-5f2a-4950-b986-e891ddfa7da8",
   "metadata": {},
   "outputs": [],
   "source": [
    "sphere_point = lambda rad: np.array([np.cos(rad), np.sin(rad)])\n",
    "\n",
    "square_lattice = Lattice([1, 0], [0, 1])\n",
    "tilted_lattice = Lattice([1, 0.5], [0, 1])\n",
    "honeycomb_lattice = Lattice(sphere_point(0), sphere_point(np.pi * 2/3))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "a6b6ccf4-34c7-419d-8bcc-f3ce2870ba25",
   "metadata": {},
   "outputs": [],
   "source": [
    "# fig, axs = plt.subplots(3, figsize=(4, 12))\n",
    "# plot_unit_cell(square_lattice, fig_ax=(fig, axs[0]))\n",
    "# plot_unit_cell(tilted_lattice, fig_ax=(fig, axs[1]))\n",
    "# plot_unit_cell(honeycomb_lattice, fig_ax=(fig,axs[2]));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "5314dd3a-17a7-402d-b3ee-ddbf69a6c4ed",
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_lattice(lattice: Lattice):\n",
    "    reci = get_reciprocal_lattice(lattice)\n",
    "    print(reci.vecs)\n",
    "    if lattice.dim == 3:\n",
    "        fig = plt.figure()\n",
    "        axs = [fig.add_subplot(1,2,i, projection=\"3d\") for i in [1,2]]\n",
    "    else:\n",
    "        fig, axs = plt.subplots(1, 2)\n",
    "    plot_unit_cell(lattice, fig_ax=(fig, axs[0]))\n",
    "    plot_unit_cell(reci, fig_ax=(fig, axs[1]), vec_label=\"b\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "39a49d00-fc93-4f2a-8645-d5e440e7a092",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[ 6.28318531e+00 -3.84734139e-16]\n",
      " [ 3.84734139e-16  6.28318531e+00]]\n",
      "[[ 6.28318531e+00 -3.84734139e-16]\n",
      " [-3.14159265e+00  6.28318531e+00]]\n",
      "[[6.28318531e+00 3.62759873e+00]\n",
      " [4.44252717e-16 7.25519746e+00]]\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "d387139d3da141268f8c9c7345f26575",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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beBmTFjhrV161br2WefbfJtYE6+D2B2trO/Nl8j2r2T3NLbrbf+/vhtOGRJHkv6rtW9+zFX9Obm7ebm+wC6dxu5p7dXXjlmJSefeXzMCI0fp522yBW9uXm7ReutWzdnjh3x5JrbwBQWFmrEiBG15k+cOFFLlizRpEmTtGvXLhUWFoafW7t2rWbMmKFPP/1UWVlZuueeezRlypSYX7PmVg779vm1eXOqEXdPd0NvlZWVysnJUVlZmU58+7/wwov66U9/YmNl8ePG7VYj8l8CCWjsWOfdyqFm7HjjDb8CgVRXbyM39fbiiy/qpz/96QlzPOrWLUs7duxQmzZtbKsrXty63aRo/xJIQJ07O2/siCfXBEA71AziJr+BnGjRokW69dZbI+YlJSXpO9/5jj777DMlu2XEM4BT90Gn1m2yqqoq9e7dWzt27NDJfzYXLVqkyZMn21QZmoJ90OBrAGGmyspKzZ07t9Y3vaurq/XFF1/olVdesakyAIls6dKl+vLLL2uFP4/Ho7lz56qysrKONYHERACEUZYsWaLdu3fXGsSl0FHA+++/X1VVVTZUBiBRVVVV6f777496izDLslRaWqrnnnvOhsqApiMAwhh1Hf2rwVFAANHUdfSvBkcB4UQEQBijvqN/NTgKCOBE9R39q8FRQDgRARBGaOjoXw2OAgI4UUNH/2rUdRSwvLxc06ZNU3V1dXOWCTRaK7sLAFrC//zP/2j37t1KSkqK+JbvsWPHlJSUpKSkpIh58+fP109+4o5bwgBouvz8fElSq1b/+nNZXV2t6urqWvNKS0t122236csvv4z4Gdu3b1fv3r11xx13tEzRQAwIgDBCv379dPPNN9f6FL5kyRKdf/75OvvssyPm9+3btyXLA5Cg/uM//kN///vfI+Zt3bpVH374oW688caI+UlJSbrzzjsjxo99+/bpxhtvPOn+gYD9uA/gKeA+Qs7Xtm1bPfbYY5o6dWq9y5WXl2v+/PlasGBBxNFC2MuOfXDOnDmaO3duxLz09PRa/7Z4fRg7nO3JJ5/UzJkzdeTIkQaXrayslGVZ8nq9LVAZYsU+yBFAIKpFixbpxRdfjJjHaRzU6NOnj/7617+GH3PzcNTFDf9CCNyJAAhEccstt+iWW24JP+Y0Dk7UqlUrZWRk2F0GEtQ999yjTz75RG+++abdpQB14lwWEIOOHTuqoKBAnTp1srsUJIDPP/9cWVlZysnJ0fjx47Vjxw67S0ICKSoqUr9+/ewuA6gXARCIQZs2bbiGB5KkCy64QM8//7z+8pe/6A9/+IPKy8s1dOhQ7d27t851gsGgAoFAxAT32rx5s84991y7ywDqRQAE6vDggw/qnHPOUYcOHZSenq7bbrtNR48etbss2GzMmDG65pprdM455+iHP/yhVqxYIUn13gQ4Pz9fPp8vPGVnZ7dUuWhh5eXl+sc//qHq6moNGzZM7du316BBg7R582a7SwMiEACBKCzLUlVVlX7/+99r69atWrJkiV599VU988wzdpeGBNOhQwedc845+vzzz+tcZtasWfL7/eGppKSkBStES9q0aZMkacGCBZo/f742bNiglJQUjR8/3ubKgEh8CQSIouau/jV69OihSy65RJ999plKSko0YcIEVVRUqFWrVvrVr36l6667zsZqYadgMKht27YpNze3zmW8Xi+XEBiiqKhIbdu21euvv66srCxJ0rx583ThhRcydiChcAQQiOKrr77S1KlT1bdvX5122mnq2LGjXnnlFXXv3l2tWrXSggULtHXrVv31r3/VjBkzdOjQIbtLRguZOXOm1q5dq507d+qDDz7Qtddeq0AgoIkTJ9pdGhJAUVGRfvzjH4fDnxQ6SiyFbhTN2IFEQQAETrJnzx6df/752rNnjx5//HH97W9/0/r165WcnKxzzz1XmZmZ4Qu8u3btqs6dO2vfvn32Fo0W8/XXX+snP/mJevfurauvvlpt2rTR+++/rx49ethdGhJAUVFRrS+AfPzxx8rIyFBWVhZjBxIGp4CBk6xcuVLHjh3TSy+9JI/HI0l66qmnVFlZWWtg37Bhg6qrq7mo3yAvv/yy3SUgQR0+fFhffPGFqqqqwvOqq6v1xBNPaNKkSeHxRGLsgP0IgMBJOnfurEAgoOXLl+vss8/W//7v/yo/P1/dunVTly5dwsvt3btXN954I18MASApdPuX5ORkLV68WMOGDVOnTp1033336dChQ7rvvvvCyzF2IBFwChg4yeWXX66bbrpJEyZM0EUXXaTS0lL9+Mc/jjj6FwwGddVVV2nWrFkaOnSofcUCSBibN2/W9773Pc2ZM0fXXHON+vfvr9atW+u9995TSkqKJMYOJA6OAAIn8Xg8WrhwoRYuXBj1ecuyNGnSJI0cOVITJkxo4eoAJKopU6ZoypQpkhT1272MHUgkHAEEGundd9/V0qVL9frrr+vcc8/Vueeeqy1btthdFoAEx9iBRMIRQKCRLrroIlVXV9tdBgCHYexAIuEIIAAAgGEIgAAAAIYhAAIAABiGAAgAAGAYAiAAAIBhCIAAAACGIQACAAAYhgAIAABgGAIgAACAYQiAAAAAhuGfgkPiqK6Svlkn/bNMapcpdcmVkpLtrio+3NwbYDc3719u7g22clUA/N3vfqdHH31UZWVl6tOnjxYsWKDc3NyoyxYWFmrEiBG15m/btk1nnXVWc5eKk5W8Jm28Uzr89b/mte8uDfytlH21fXXFg5t7A+zm5v3Lzb3Bdq45Bbx06VJNnz5ds2fP1qZNm5Sbm6sxY8aouLi43vW2b9+usrKy8NSrV68WqhhhJa9J666NHOQk6XBpaH7Ja/bUFQ9u7g2wm5v3Lzf3hoTgmgD4+OOP66abbtLNN9+s73//+1qwYIGys7P19NNP17te165dlZGREZ6Skzm03qKqq0KfcGVFefL4vI3TQ8s5jZt7A+zm5v3Lzb0hYbjiFHBlZaU2btyoe++9N2L+qFGj9N5779W7bv/+/XXkyBGdffbZ+uUvfxn1tHCNYDCoYDAYfhwIBE6tcISubTn5E24ESzpcoiMlq1XdZVizlFBZWanDhw/H/ecmffOO2sbQm75ZJ6UPj/vrA65m49hRWVkpSc0ybkiMHWgZrgiAe/bsUVVVldLT0yPmp6enq7y8POo6mZmZWrRokQYOHKhgMKj//u//1g9+8AMVFhZq2LDog0V+fr7mzp0b9/qN9s+ymBb7/JN3VN42/kdnq6urtWPHDr377rtx/9kZR97RObEsGOPvAMAJbBw7duzYoerq6mYZNyTGDrQMVwTAGh6PJ+KxZVm15tXo3bu3evfuHX48ZMgQlZSU6LHHHqszAM6aNUt5eXnhx4FAQNnZ2XGo3GDtMmNaLKlDN3Vs1zHuL+/xeOT1etWxY/x/dlJyN+lADAvG+DsAcAIbxw6v1yuPx9Ms44bE2IGW4YoAmJaWpuTk5FpH+yoqKmodFazP4MGD9cILL9T5vNfrldfrbXKdiKJLbuhbbYdLFe16F0vS0VbpCvrOl9fTPNdntmrVqlm2a7DN+arc01Wtj1Uo+scQT6j3LtG/qQ6gHjaOHa1ahf50NtffA8YOtARXfAmkTZs2GjhwoFavXh0xf/Xq1Ro6dGjMP2fTpk3KzOQTVYtKSg7d0kCSThrqrOPzvk6fKTVT+GtWnmR9nX6XpGh/no73OnAB9/QCmoKxg7EDp8QVAVCS8vLy9Mwzz+iPf/yjtm3bphkzZqi4uFhTpkyRFDp9e+ONN4aXX7BggV5//XV9/vnn+vTTTzVr1iwVFBRo6tSpdrVgruyrpdxXpfbdImYfbZWund0e0f6UkTYVdur2p4zUzm6P6mirrpFPtO8e6pl7eQFNx9gBNJkrTgFL0vXXX6+9e/fqwQcfVFlZmfr27auVK1eqR48ekqSysrKIewJWVlZq5syZKi0tVbt27dSnTx+tWLFCl112mV0tmC37aqnbFTpSslqff/KOkjp0U9B3vjM/vZ9kf8pI7e94sbz+D1V9qFS9/m2Y2mZfwqd3IB4YO4AmcU0AlKTbb79dt99+e9TnlixZEvH47rvv1t13390CVSFmScmq7jJM5W2T1bFdx2a75s8WnmQF2g3Qwarv6cwuFzKAA/HE2AE0mmtOAQMAACA2BEAAAADDEAABAAAMQwAEAAAwDAEQAADAMARAAAAAwxAAAQAADEMABAAAMAwBEAAAwDAEQAAAAMMQAAEAAAxDAAQAADAMARAAAMAwBEAAAADDEAABAAAMQwAEAAAwDAEQAADAMARAAAAAwxAAAQAADEMABAAAMAwBEAAAwDAEQAAAAMMQAAEAAAxDAAQAADAMARAAAMAwBEAAAADDEAABAAAMQwAEAMAA5eXlmjZtmqqrq+0uBQmgld0FAACA+Fu0aJFefPHFiHnbt29X7969dccdd9hUFRIFARAAABe65ZZbdMstt4Qf79u3TzfeeKN++tOf2lgVEgWngAGH4TQOgKbo2LGjCgoK1KlTJ7tLQQLgCCCQ4DiNAyAe2rRpY3cJSCAEQCDB3XLLLUpOTtYbb7yhe++9V7169eI0DoAGBYNBnXXWWWrdurU2bNig1NRUu0tCAiEAxkFVlVRYKJWVSZmZUm6ulJxsd1XxUVUlrVvn3t6qq6WtW9trw4aO6t//YML2tmbNGr3++ut6/fXX9cMf/lD3339/vadx3L7danpz+t+zdeukQMDd28iNvRUXe1VdrYQfN/bt26ddu3ZJkrKzs3XXXXdp2rRpdQZBt2+3E3vr18/uiuznqmsAf/e73yknJ0dt27bVwIEDtW7dunqXX7t2rQYOHKi2bdvqO9/5jhYuXNik1+3bVxoxQrrhhtB/e/aUXnutST8qobz2WqgXN/b29tudNHZsXx075tEbb5yuW2/9nsaO7au33+5kd2l1SkoK7a5r1qzRsGHDNHr0aH3wwQe1lnPzdju5t7Fj7aulseNNNGPHun8buam3mnHj5Ze76tgxjyPGjRqBQEAPPPCAsrOz9Zvf/EaBQCDieTdvt2i99e1rd1X2c00AXLp0qaZPn67Zs2dr06ZNys3N1ZgxY1RcXBx1+Z07d+qyyy5Tbm6uNm3apPvuu0/Tpk1TQUFBo1979+7Ix6Wl0rXXOnvHee21UA9ffx053w29vf12J911V44qKlpHzK+oaK277spJyMF8y5Yt4S99VFVVSZL++te/avDgwRFB0M3bra7e7NDY8SYWbt5GbujNieNGRUVFxOPq6moFAgHdf//9EUHQzdutrt5O/rttIo9lWZbdRcTDBRdcoAEDBujpp58Oz/v+97+vK6+8Uvn5+bWWv+eee7R8+XJt27YtPG/KlCnavHmz1q9fH9NrBgIB+Xw+SX5JkYfUPR6pe3dp507nHUKvqgp9WqrrD21z9nb48GG9++676tixo7xeb3x/uEK9jR3b9/gg7pHUVtJjkqYeX8JSevpR/e///j3uvQWDQR08eFAXXnih2rdvH/N6lmWpX79++vTTT6N+8zc5OVlVVVUaNWqUNm16UN98c0HUn+PO92RAkk9+v79Fr29q7HhzsrrGDnduo5Dm7q05x47a48aTkmZKOnJ8ieYbN6Smjx1/+tOf9LOf/azO55OSktShQ0d5PHcpEJimk/+OSW5+T9ozdiQSV1wDWFlZqY0bN+ree++NmD9q1Ci99957UddZv369Ro0aFTFv9OjRevbZZ3X06FG1bt261jrBYFDBYDD8+ORD6CeyLKmkJHTNwfDhjWgmAaxbV/9RFif3tmlTR1VUnPhNOEvS3yWtCM/5xz+k558v1Xe/+8+4vvbRo0d15MgRHThwoNF/oE4//fQ6n6s5Irhq1SpJqyT1lzRP0piI5Zy83Rp6T7akpow3sY4dbt5GTu6t9rhRJalaLTFuSE0fO/785z/X+3x1dbUOHAhI+pWk+ZJ+LOl3kv4VMp283RJp3EhErgiAe/bsUVVVldLT0yPmp6enq7y8POo65eXlUZc/duyY9uzZo8zMzFrr5Ofna+7cuY2qraysUYsnhFhrdmJve/acHOwtSb8/Pv3Lk0+2VEXNYZOkiZIqoj7rxO2WSDU3Zbxp7NiRSP3GyqxxY6+ko5IiL0J19rjxT0nPSTpX0vRazzpxuzmx5pbkigBYw+PxRDy2LKvWvIaWjza/xqxZs5SXlxd+HAgElJ2dXW9NUXJkwou1Zif2lpZ29KQ5/uNTpEce+VL9+h2K62tXVlbq0KFDOu+882I+jbN3714NHz5cbdu2VWlpqRq+YqO9pCmS7q5zCSdut0SsuTHjTWPHjkTstyFmjRsPSpom6VjE3OYYN6SmjR2SNHjwYH311Vf1LuPxeI6PK/8m6ZeSro26nBO3mxNrbkmuCIBpaWlKTk6u9em7oqKi1qf0GhkZGVGXb9WqVZ2n27xeb8yH32uum8jNjWnxhJKbG6q9tDR0+P9kTu6tf/+D6tq18oRredodn2qEruUZPny3kpPbRf8hTRQMBuX1epWRkRHzIL5q1SpVV1dr2LBhWrp0afh074mSkpLUpk0b9eyZo0DgXZWVnea67dbQe7IlNWW8iXXscPM2cnJvtccNSUo7YYnmGzekpo0dhw8fVklJSZ3P11w73KtXL+3a1VWVle/oX739i5O3WyKNG4nIFd8CbtOmjQYOHKjVq1dHzF+9erWGDh0adZ0hQ4bUWn7VqlUaNGhQ1Ov/GqPmIMCCBc67aFYK1fzb34b+/+QDGm7o7a67ai4KOXlEsOTxSDNnfp0wvXXu3FmBQEBff/11raN/oQu4O+iXv/ylXnnlFfXpc7aeeOI0Se7cbnW9J1taU8abWLh5G7mhNyeNG5K0efNmJddT0Lnnnqu33npLCxcu1IAB6fJ4PK7cbokybiQiVwRAScrLy9MzzzyjP/7xj9q2bZtmzJih4uJiTZkyRVLoFMyNN94YXn7KlCn66quvlJeXp23btumPf/yjnn32Wc2cObPRr52VFfm4e3fp1Velq68+pZZsdfXVoR66dYuc74beRo7cr0cf3amuXSNP66SnH9Ujj+zUyJH77Sksissvv1w33XST3nvvvYhvACcnJ2v27NkqLi7W3LlzlZKSIsnd262u3uzQ0HjTFG7eRm7ozUnjhhQKgN/5zndqze/Xr5/efPNNffTRRxo9erQ8Ho+6dXPvdqvrPZkI44jdXHEKWJKuv/567d27Vw8++KDKysrUt29frVy5Uj169JAklZWVRdyjKycnRytXrtSMGTP01FNPKSsrS//1X/+la665ptGv/fe/S5s3u+/u6VdfLV1xhTvvDD9y5H5dfPF+bdrUUXv2tFZa2tGEvKO/x+PRwoULdfDgQf3pT39Shw4dlJeXp+nTp6tz585R13Hzdju5t9RUe24G3dB4E6s33nDfvwTi5vefU8YNKXSQ44orrlDW8SMUAwcO1G9+85tw6DuZm7dbtN769ZPqGEKN4Zr7ANqh5l5eJt9HKN6a+z6Admrqvbwk6e2339YHH3ygW2+9tVbwGz16tD7++GMdOnRInTt31rJly3TeeefFs/SE5dR90Kl1JzLGjtqqq6v1wAMP6MILL4wa/Bg7zN4HXXMEEHCzkSNHauTIkVGf+8tf/tLC1QBwgqSkJP3617+u83nGDrO55hpAAAAAxIYACAAAYBgCIAAAgGEIgAAAAIYhAAIAABiGAAgAAGAYAiAAAIBhCIAAAACGIQACAAAYhgAIAABgGAIgAACAYQiAAAAAhiEAAgAAGIYACAAAYBgCIAAAgGEIgAAAAIYhAAIAABiGAAgAAGAYAiAAAIBhCIAAAACGIQACAAAYhgAIAABgGAIgAACAYQiAAAAAhiEAAgAAGIYACAAAYBgCIAAAgGEIgAAAAIYhAAIAABiGAAgAAGAYAiAAAIBhCIAAAACGIQAicVRXKembd5RxZI1S//mxZFXZXVH8WFVK/efHyjiyRknfvCNVu6g3wG6MHUCjuSIAfvvtt5owYYJ8Pp98Pp8mTJig/fv317vOpEmT5PF4IqbBgwe3TMGoreQ1aXlPtX13jM45kK8+5VPV98ux6nTgbbsrO2WdDrytvl+OVZ/yqTrnQL7avjtGWt4z1DOAU8PYATSJKwLgDTfcoKKiIr311lt66623VFRUpAkTJjS43qWXXqqysrLwtHLlyhaoFrWUvCatu1Y6/HXE7NbHKpRTepejB/JOB95WTuldan2sIvKJw6WhnhnIgaZj7ACarJXdBZyqbdu26a233tL777+vCy64QJL0hz/8QUOGDNH27dvVu3fvOtf1er3KyMhoqVIRTXWVtPFOSVatpzzH53b/x2Pa3/FiyZPc0tWdGqtK3f/xqKRQLyc9GZq7cbrU7QopyWG9AXZj7GDswClxfABcv369fD5fOPxJ0uDBg+Xz+fTee+/VGwALCwvVtWtXderUSRdffLHmzZunrl271rl8MBhUMBgMPw4EAvFpwmTfrKv16f1EHkltjv1DXv+HCrQb0HJ1xUHqPz9Wm5M/vUewpMMlod9B+vCWKgtwB8YOxg6cEscHwPLy8qihrWvXriovL69zvTFjxui6665Tjx49tHPnTv3qV7/SyJEjtXHjRnm93qjr5Ofna+7cuXGrHZL+WRbTYtWHSnWw6nvNXEx8dTxSGtuCMf4OAJyAsYOxA6ckYQPgnDlzGgxbH330kSTJ44lykNyyos6vcf3114f/v2/fvho0aJB69OihFStW6Oqrr466zqxZs5SXlxd+HAgElJ2dXW+NaEC7zJgW6/Vvw3RmlwubuZj4SvqmSno3v+EFY/wdADgBYwdjB05JwgbAqVOnavz48fUu07NnT33yySf6xz/+Ueu5b775Runp6TG/XmZmpnr06KHPP/+8zmW8Xm+dRwfRRF1ypfbdQxc2R7mWR/JI7burbfYlzrvWJfuSmHpTl9yWrgxwPsYOxg6ckoQNgGlpaUpLS2twuSFDhsjv9+vDDz/U+eefL0n64IMP5Pf7NXTo0Jhfb+/evSopKVFmJp+oWlRSsjTwt6FvtYUv3a5x/AjuwAXOG8Ald/cG2M3N+5ebe0PCcPxtYL7//e/r0ksv1eTJk/X+++/r/fff1+TJkzV27NiIL4CcddZZWrZsmSTp4MGDmjlzptavX69du3apsLBQ48aNU1pamq666iq7WjFX9tVS7qtS+26R89t3D83Pjn5K3hHc3BtgNzfvX27uDQkhYY8ANsaf/vQnTZs2TaNGjZIk/ehHP9KTTz4Zscz27dvl9/slScnJydqyZYuef/557d+/X5mZmRoxYoSWLl2qlJSUFq8fCg1m3a4Ifavtn2Wha1u65LrjE66bewPs5ub9y829wXYey7KiXWCAGAQCAfl8Pvn9fqWmptpdDmAcp+6DTq0bcAv2QRecAgYAAEDjEAABAAAMQwAEAAAwDAEQAADAMARAAAAAwxAAAQAADEMABAAAMAwBEAAAwDAEQAAAAMMQAAEAAAxDAAQAADAMARAAAMAwBEAAAADDEAABAAAMQwAEAAAwDAEQAADAMARAAGiEnj17yuPxREz33nuv3WUBQKO0srsAAHCaBx98UJMnTw4/7tixo43VAEDjEQABoJFSUlKUkZFhdxkA0GScAgaARnr44Yd1+umn69xzz9W8efNUWVlZ7/LBYFCBQCBiAgA7cQQQABrhzjvv1IABA3Taaafpww8/1KxZs7Rz504988wzda6Tn5+vuXPntmCVAFA/j2VZlt1FOFUgEJDP55Pf71dqaqrd5QDGidc+OGfOnAYD2kcffaRBgwbVml9QUKBrr71We/bs0emnnx513WAwqGAwGFF3dnY2YwdgE/5+cwQQADR16lSNHz++3mV69uwZdf7gwYMlSV988UWdAdDr9crr9Z5SjQAQTwRAAMZLS0tTWlpak9bdtGmTJCkzMzOeJQFAsyIAAkCM1q9fr/fff18jRoyQz+fTRx99pBkzZuhHP/qRzjjjDLvLA4CYEQABIEZer1dLly7V3LlzFQwG1aNHD02ePFl333233aUBQKMQAAEgRgMGDND7779vdxkAcMq4DyAAAIBhCIAAAACGIQACAAAYhgAIAABgGAIgAACAYQiAAAAAhiEAAgAAGMYV9wGcN2+eVqxYoaKiIrVp00b79+9vcB3LsjR37lwtWrRI3377rS644AI99dRT6tOnT6Nfv6pKKiyUysqkzEwpN1dKTm58H4moqkpat47enMaU3pz+b7ivWycFAu7eRvTmHCb11q+f3RUlAMsF7r//fuvxxx+38vLyLJ/PF9M6Dz30kJWSkmIVFBRYW7Zssa6//norMzPTCgQCMb+u3++3JFlZWX5LssJT9+6WVVDQxGYSSEFBqBd6cxazegvtg36/3+7SGqVm7AjV7/ZtRG9OYFpvob/bzhs74skVAbDG4sWLYwqA1dXVVkZGhvXQQw+F5x05csTy+XzWwoULY369aIO4ZFkeT2hy8o5TUBDq4cS+6C3xmdebMwfxaGOHe7cRvSU6E3tz6tgRTx7Lsiz7jj/G15IlSzR9+vQGTwHv2LFDZ555pj7++GP1798/PP+KK65Qp06d9Nxzz8X0eoFAQD6fT5JfUuS5KI9H6t5d2rnTeYfQq6qknj2lr7+O/jy9JSYzewtI8snv9yvVQeeD6xo73LmNQugtMZnbmzPHjngy8ksg5eXlkqT09PSI+enp6eHnogkGgwoEAhFTXSxLKikJXXPgNOvW1T0YSPSWqEzuzS3cvI3oLTGZ3JvpEjYAzpkzRx6Pp95pw4YNp/QaHo8n4rFlWbXmnSg/P18+ny88ZWdnN/gaZWWnVKItYq2Z3hILvbmHE/vl/UdvicaJNbekhP0W8NSpUzV+/Ph6l+nZs2eTfnZGRoak0JHAzMzM8PyKiopaRwVPNGvWLOXl5YUfBwKBBkPgCT/eMWKtmd4SC725hxP75f1Hb4nGiTW3pIQNgGlpaUpLS2uWn52Tk6OMjAytXr06fA1gZWWl1q5dq4cffrjO9bxer7xeb0yvUXPdRG5uXEpuUbm5odpLS0OH/09Gb4nJ5N7cws3biN4Sk8m9mS5hTwE3RnFxsYqKilRcXKyqqioVFRWpqKhIBw8eDC9z1llnadmyZZJCp36nT5+u+fPna9myZfr73/+uSZMmqX379rrhhhtOuZ6as8gLFjjvolkpVPNvfxv6/5PPiNNb4jK1N7dw8zait8Rlam+QO+4DOHHixOO3VIic1qxZE15GkrV48eLw4+rqauuBBx6wMjIyLK/Xaw0bNszasmVLo163rvsAZmc7+2vzNaLdO4neEp9ZvTnzVg7RbgPj3m1Eb05gWm/dujlz7IgnV90GpqXV3Mph3z6/Nm9ONeLu6fTmDKb0lpoa0NixzruVQ83Y8cYbfgUCqa7eRvTmHCb11q9fQJ07O2/siCcC4CmoGcRNfgMBdnLqPujUugG3YB90yTWAAAAAiB0BEAAAwDAEQAAAAMMQAAEAAAxDAAQAADAMARAAAMAwBEAAAADDEAABAAAMQwAEAAAwDAEQAADAMARAAAAAwxAAAQAADEMABAAAMAwBEAAAwDAEQAAAAMMQAAEAAAxDAAQAADAMARAAAMAwBEAAAADDEAABAAAMQwAEAAAwDAEQAADAMARAAAAAwxAAAQAADEMABAAAMAwBEAAAwDAEQAAAAMMQAAEAAAxDAAQAADAMARAAAMAwBEAAAADDEAABAAAMQwAEAAAwjCsC4Lx58zR06FC1b99enTp1immdSZMmyePxREyDBw9u3kIBAAASgCsCYGVlpa677jrddtttjVrv0ksvVVlZWXhauXJlM1UIAACQOFrZXUA8zJ07V5K0ZMmSRq3n9XqVkZHRDBUBAAAkLlccAWyqwsJCde3aVd/73vc0efJkVVRU2F0SAABAs3PFEcCmGDNmjK677jr16NFDO3fu1K9+9SuNHDlSGzdulNfrjbpOMBhUMBgMPw4EAi1VLgAAQNwk7BHAOXPm1PqSxsnThg0bmvzzr7/+el1++eXq27evxo0bpzfffFP/93//pxUrVtS5Tn5+vnw+X3jKzs5u8usDAADYJWGPAE6dOlXjx4+vd5mePXvG7fUyMzPVo0cPff7553UuM2vWLOXl5YUfBwIBQiAAAHCchA2AaWlpSktLa7HX27t3r0pKSpSZmVnnMl6vt87TwwAAAE6RsKeAG6O4uFhFRUUqLi5WVVWVioqKVFRUpIMHD4aXOeuss7Rs2TJJ0sGDBzVz5kytX79eu3btUmFhocaNG6e0tDRdddVVdrUBwGax3FO0uLhY48aNU4cOHZSWlqZp06apsrKyZQsFgFOUsEcAG+P+++/Xc889F37cv39/SdKaNWs0fPhwSdL27dvl9/slScnJydqyZYuef/557d+/X5mZmRoxYoSWLl2qlJSUFq8fQGKouafokCFD9Oyzz9Z6vqqqSpdffrm6dOmiv/3tb9q7d68mTpwoy7L0xBNP2FAxADSNx7Isy+4inCoQCMjn88nv9ys1NdXucgDjNNc+uGTJEk2fPl379++PmP/mm29q7NixKikpUVZWliTp5Zdf1qRJk1RRURFzDYwdgL3YB11yChgAWsL69evVt2/fcPiTpNGjRysYDGrjxo02VgYAjeOKU8AA0BLKy8uVnp4eMe+0005TmzZtVF5eXud63EMUQKLhCCAAV4v3PUU9Hk+teZZlRZ1fg3uIAkg0HAEE4GrxvKdoRkaGPvjgg4h53377rY4ePVrryOCJuIcogERDAATgavG8p+iQIUM0b948lZWVhe8ZumrVKnm9Xg0cOLDO9biHKIBEQwAEgOOKi4u1b9++iHuKStJ3v/tddezYUaNGjdLZZ5+tCRMm6NFHH9W+ffs0c+ZMTZ482dhvEgJwJgIgABzX0D1Fk5OTtWLFCt1+++268MIL1a5dO91www167LHH7CoZAJqE+wCeAu4jBNjLqfugU+sG3IJ9kG8BAwAAGIcACAAAYBgCIAAAgGEIgAAAAIYhAAIAABiGAAgAAGAYAiAAAIBhCIAAAACGIQACAAAYhgAIAABgGAIgAACAYQiAAAAAhiEAAgAAGIYACAAAYBgCIAAAgGEIgAAAAIYhAAIAABiGAAgAAGAYAiAAAIBhCIAAAACGIQACAAAYhgAIAABgGAIgAACAYQiAAAAAhiEAAgAAGIYACAAAYJhWdhdwqnbt2qVf//rXevvtt1VeXq6srCz97Gc/0+zZs9WmTZs617MsS3PnztWiRYv07bff6oILLtBTTz2lPn36NLqGqiqpsFAqK5MyM6XcXCk5+RSaSiBVVdK6dfTmNKb0lppqdzWnZt06KRBw9zaiN+cwqbd+/eyuKAFYDvfmm29akyZNsv7yl79YX375pfXnP//Z6tq1q/WLX/yi3vUeeughKyUlxSooKLC2bNliXX/99VZmZqYVCARifm2/329JsrKy/JZkhafu3S2roOBUO7NfQUGoF3pzFrN6C+2Dfr/f7tIapWbsCNXv9m1Eb05gWm+hv9vOGzviyfEBMJpHHnnEysnJqfP56upqKyMjw3rooYfC844cOWL5fD5r4cKFMb9OtEFcsiyPJzQ5eccpKAj1cGJf9Jb4zOvNmYN4tLHDvduI3hKdib05deyIJ49lWZZ9xx+bxy9/+Uu99dZb2rBhQ9Tnd+zYoTPPPFMff/yx+vfvH55/xRVXqFOnTnruuediep1AICCfzyfJLynyXJTHI3XvLu3c6bxD6FVVUs+e0tdfR3+e3hKTmb0FJPnk9/uV6qDzwXWNHe7cRiH0lpjM7c2ZY0c8ue5LIF9++aWeeOIJTZkypc5lysvLJUnp6ekR89PT08PPRRMMBhUIBCKmuliWVFISuubAadatq3swkOgtUZncm1u4eRvRW2IyuTfTJWwAnDNnjjweT73TyUf4du/erUsvvVTXXXedbr755gZfw+PxRDy2LKvWvBPl5+fL5/OFp+zs7AZfo6yswUUSTqw101tioTf3cGK/vP/oLdE4seaWlLDfAp46darGjx9f7zI9e/YM///u3bs1YsQIDRkyRIsWLap3vYyMDEmhI4GZmZnh+RUVFbWOCp5o1qxZysvLCz8OBAINhsATfrxjxFozvSUWenMPJ/bL+4/eEo0Ta25JrrgGsLS0VCNGjNDAgQP1wgsvKLmBCxUsy1JWVpZmzJihu+++W5JUWVmprl276uGHH9att94a0+u6/RrA0tLQ4f+T0VtiMrM3Z17H4+ZrAM16/4XQW2Kqvzdnjh3xlLBHAGO1e/duDR8+XGeccYYee+wxffPNN+Hnao70SdJZZ52l/Px8XXXVVfJ4PJo+fbrmz5+vXr16qVevXpo/f77at2+vG264IebX/ld2rn0toGVJ8+dLhw41uTVb5edLEyZEf47eEpd5vYX2Pad9jq1r7HDnNgqht8RlZm/OHDviyq6vH8fL4sWLj99OofZ0IknW4sWLw4+rq6utBx54wMrIyLC8Xq81bNgwa8uWLY167ZKSkjpfm4mJqeWmkpKSeAwnLYaxg4kpMSanjR3x5IpTwHaprq7W7t27lZKSogMHDig7O1slJSWuO5xcc60jvTmLCb0VFxfL4/EoKytLSUkJ+522Wk4cO+r74tmpcPP2txu/2+bVEr9fy7J04MABx40d8eT4U8B2SkpKUvfu3SX96xvFqamprh0Q6M2Z3Nybz+dzZG8njh3Nzc3b3278bptXc/9+Q9fhmsvM2AsAAGAwAiAAAIBhCIBx4vV69cADD8jr9dpdStzRmzPRm9n4HTUffrfNi99vy+BLIAAAAIbhCCAAAIBhCIAAAACGIQACAAAYhgAIAABgGAJgnO3atUs33XSTcnJy1K5dO5155pl64IEHVFlZaXdpcTFv3jwNHTpU7du3V6dOnewu55T87ne/U05Ojtq2bauBAwdq3bp1dpcUF++8847GjRunrKwseTwevf7663aXFBf5+fk677zzlJKSoq5du+rKK6/U9u3b7S4rIcWynxYXF2vcuHHq0KGD0tLSNG3aNNeMU83NrWNHS2ponLIsS3PmzFFWVpbatWun4cOH69NPP7WnWJciAMbZZ599purqav3+97/Xp59+qv/8z//UwoULdd9999ldWlxUVlbquuuu02233WZ3Kadk6dKlmj59umbPnq1NmzYpNzdXY8aMUXFxsd2lnbJDhw6pX79+evLJJ+0uJa7Wrl2rO+64Q++//75Wr16tY8eOadSoUTrk1H+lvhk1tJ9WVVXp8ssv16FDh/S3v/1NL7/8sgoKCvSLX/yihSt1HjePHS2poXHqkUce0eOPP64nn3xSH330kTIyMnTJJZfowIEDLVypi9n5DxGb4pFHHrFycnLsLiOuFi9ebPl8PrvLaLLzzz/fmjJlSsS8s846y7r33nttqqh5SLKWLVtmdxnNoqKiwpJkrV271u5SElZd++nKlSutpKQkq7S0NDzvpZdesrxer+X3+1uwQucxZexoSSePU9XV1VZGRob10EMPhecdOXLE8vl81sKFC22o0J04AtgC/H6/OnfubHcZOK6yslIbN27UqFGjIuaPGjVK7733nk1VobH8fr8ksW81wfr169W3b19lZWWF540ePVrBYFAbN260sbLExtjRMnbu3Kny8vKI37PX69XFF1/M7zmOCIDN7Msvv9QTTzyhKVOm2F0KjtuzZ4+qqqqUnp4eMT89PV3l5eU2VYXGsCxLeXl5uuiii9S3b1+7y3Gc8vLyWu//0047TW3atGEfqAdjR8uo+V3ye25eBMAYzZkzRx6Pp95pw4YNEevs3r1bl156qa677jrdfPPNNlXesKb05gYejyfisWVZteYhMU2dOlWffPKJXnrpJbtLaTHx3k+jvdfZB2LD2NEy+D03r1Z2F+AUU6dO1fjx4+tdpmfPnuH/3717t0aMGKEhQ4Zo0aJFzVzdqWlsb06Xlpam5OTkWp8kKyoqan3iROL5+c9/ruXLl+udd95R9+7d7S6nxcRzP83IyNAHH3wQMe/bb7/V0aNH2QfqwdjRMjIyMiSFjgRmZmaG5/N7ji8CYIzS0tKUlpYW07KlpaUaMWKEBg4cqMWLFyspKbEPtDamNzdo06aNBg4cqNWrV+uqq64Kz1+9erWuuOIKGytDfSzL0s9//nMtW7ZMhYWFysnJsbukFhXP/XTIkCGaN2+eysrKwn9gV61aJa/Xq4EDB8blNdyIsaNl5OTkKCMjQ6tXr1b//v0lha6/XLt2rR5++GGbq3MPAmCc7d69W8OHD9cZZ5yhxx57TN988034uZpPNU5WXFysffv2qbi4WFVVVSoqKpIkffe731XHjh3tLa4R8vLyNGHCBA0aNCh8lLa4uNgV12oePHhQX3zxRfjxzp07VVRUpM6dO+uMM86wsbJTc8cdd+jFF1/Un//8Z6WkpISPwvh8PrVr187m6hJLQ/vpqFGjdPbZZ2vChAl69NFHtW/fPs2cOVOTJ09WamqqvcUnODePHS2poXFq+vTpmj9/vnr16qVevXpp/vz5at++vW644QYbq3YZO7+C7EaLFy+2JEWd3GDixIlRe1uzZo3dpTXaU089ZfXo0cNq06aNNWDAANfcTmTNmjVRt9HEiRPtLu2U1LVfLV682O7SEk4s++lXX31lXX755Va7du2szp07W1OnTrWOHDliX9EO4taxoyU1NE5VV1dbDzzwgJWRkWF5vV5r2LBh1pYtW+wt2mU8lmVZzR8zAQAAkCgS++I0AAAAxB0BEAAAwDAEQAAAAMMQAAEAAAxDAAQAADAMARAAAMAwBEAAAADDEAABAAAMQwAEAAAwDAEQAADAMARAAAAAwxAAAQAADEMABAAAMAwBEAAAwDAEQAAAAMMQAAEAAAxDAAQAADAMARAAAMAwBEAAAADDEAABAAAMQwAEAAAwDAEQAADAMARAAAAAwxAAAQAADEMABAAAMAwBEAAAwDAEQAAAAMMQAAEAAAxDAAQAADAMARAAAMAwBEAAAADD/H89BUFVchRD+QAAAABJRU5ErkJggg==' 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       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "b13b23809cf34187826c182c0cb2dae3",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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p3b5PVZVfwiU/8bU+WG/ywvroHTV/31k2lo36RrMJIOC8VHyxjqvhl67vsHz5cpjNZtdSUVHR7XukpPQ9TvIf9/qwAUgB8IdutiOpsT56x9fPTYmfb+eYVwEwAKjsZjv501a99W076j3NJoAmkwnV1dVu62pqahAaGor+/ft73Eev1yMuLs5t8UYQgPR0523tJB85Oc7+Jc4cfyOAagBPAbADYL3JlXu9ka+6+9yU/H3vXLY9cPYJvQ5AncrK5o5lI3/QbAI4fvx4bN++3W3dtm3bMGbMGISFhfXptTu+2GvXKq+DrtrpdMALLwCiaIPzjAEA1AH4B+tNxjrqDWAS2BNdfW5K/753Llvtd8+UA/ghRNGsorJ9T3319j2ll01pVJMANjY2orS0FKWlpQCcw7yUlpaivLwcgPPy7bx581zbL1iwAKdOnUJ+fj6OHj2K119/Ha+99hqWLl3a4/dOTXV/nJYGvP8+MHNmr4tDATRzJnD//RsBdIzfIwB4HAMG2FlvMjZzpvO4GjBA6kiUxdvnpoZ2qqNsqakigI4RHUQAhzFkyM2YOrVJwuj6Rgv1psayKYlqhoEpKipCbm5up/V33303Nm7ciPnz5+PkyZMoKipyPVdcXIwlS5bg8OHDSE1NxcMPP4wFCxb4/J4dt5GfO2fGwYNxHM1cIWw2GzIyMlBVVYWLv/5vvvkWfvrTn0gYGfnCfSYQC6ZPV95QDlIMQaHmWRdOnqxARsZAt3U6nQ4TJ07E1q1bERERIVFkfafmepOybBwGRkUJoBT4BVKml19+Gffff7/bupCQEFx22WU4duwYdGppXTVAqcegUuOWq48//hjTpk3rtD4kJAS33HILNm3a1OeuPaQuPAZVdAmYyBc2mw2rVq3qdKe3w+HAN998g3/84x8SRUZEvfX1118jJKTzrzOHw4EtW7bgZz/7Gex2uwSREckXE0DSlI0bN+LMmTPwdOI7JCQEjz/+OH9RECnM4cOHPSaAgHN4r/feew/333+/x+P+UtXV1Vi0aBEcDoe/wySSlVCpAyAKlovP/nn6RXDxWcCf/IR9AYmUorS0FO3t7V6fF0URr732GmJiYvDHP/7R7QrAyy+/jLfeestt++PHj2PYsGF44IEHAhYzkdTYB7AP2IdAWTz1/bsU+wIqi1KPQaXGLUcOhwPR0dFobW31afuCggLM7OI203PnzmHevHl48803ER8f76coSW54DPISMGmEt75/l2JfQCJlOXXqVJfJX8el4bS0NDz00EOYOHFil68XExODgoICJn+kerwETJrw3nvv4cyZMwgJCXE7s9fe3o6QkBC3/kPt7e1YvXo1LwMTKcDhw4fdHut0Olc/3mHDhuHuu+9GXl4eRowY0e0fgAAQHh4ekDiJ5IYJIGnCqFGjcO+993bq2L1x40aMHTsWI0aMcFufmZkZzPCIqJcuTgD1ej1uuukm5OXl4dFHH8WMGTOwfPnybl/j4YcfxldffYWPPvookKESyQoTQNKEzMxMvPLKK53W//3vf8dPf/pTLFy4sMv9q6ursXr1aqxdu9br3YakDStXrsSqVavc1hmNxk5zi1Nw5Obm4oEHHsCUKVNw4403IioqCgDwxRdfoLCwEM8++2y3r1FaWoqsrKxAh0okK0wAiTzgnYHUlZEjR+Lf//636zFvGJLO2LFjMXbs2E7r8/Ly8Oqrr7qO264cPHgQP//5zwMVIpEs8VQGkQe/+MUvUFRU5Fo2bdqE7Oxs/PSnP5U6NJKB0NBQmEwm15KUlCR1SHSJH/7wh4iMjERhYWGX21VXV+Ps2bNwOByYOHEioqKiMGbMGBw8eDBIkRJJgwkgkQ94ZyBd7MSJE0hNTUVGRgZmz56N//3vf1KHRJeIiorCTTfd1G0CeODAAQDA2rVrsXr1auzbtw+xsbGYPXt2MMIkkgwTQCIfhIeHQ6/XSx0GycC4cePwxhtv4JNPPsErr7yC6upqTJgwAfX19V73sVqtsFgsbgsFXl5eHnbu3Ina2lqv25SWliIiIgIffPABrr/+eowYMQJPPvkkjh07hoqKCkyePBkjRozAD37wA7z33ntBjJ4osJgAEnnxxBNP4KqrrkJ0dDSMRiN++ctfoq2tTeqwSGLTpk3Dj370I1x11VW48cYbsWXLFgDAX//6V6/7rFmzBgaDwbWkp6cHK1xNmz59OkRRxNatW71uU1paih//+MdITU11rYuOjgbgHENw7dq1OHLkCP79739jyZIlaGpqCnjcRMHABJDIA1EUYbfb8Ze//AVHjhzBxo0b8f777+PVV1+VOjSSmejoaFx11VU4ceKE122WL18Os9nsWioqKoIYoXYZjUaMGzcOH374oddtSktLMXr0aLd1X375JUwmE1JTU13PJScnIyEhAefOnQtgxETBwwSQyANBELBq1SpMmDABgwYNwrRp03DTTTfxshB1YrVacfToUaSkpHjdRq/XIy4uzm2h4MjLy8Mnn3zicbaQ5uZmfPPNN66BowHnbEAvvvgi5s+f7zZw9L59++BwOHj2llSDCSCRB6dOncLChQuRmZmJfv36ISYmBv/4xz+QlpaG0NBQXhbSsKVLl6K4uBhlZWXYs2cPZs2aBYvFgrvvvlvq0MiDvLw8NDc3Y8eOHZ2eO3jwIHQ6HTZs2IAvvvgC//3vf/HjH/8YTU1NePTRR13b1dfXY968eXj55ZeDGTpRQDEBJLpEXV0dxo4di7q6Ojz//PP4/PPPsWvXLuh0OowePRopKSm8LKRhp0+fxk9+8hMMGzYMM2fORHh4OHbv3o1BgwZJHRp5MGLECFx++eUe7wY+ePAghg4dipUrV+JHP/oRsrKyEBYWhp07dyI2NhaA8wzvHXfcgeXLl2PChAnBDp8oYDgQNNEltm7divb2drz99tuuS0B/+tOfYLPZOvUV4mUh7XnnnXekDoF6QBAE5OXl4d1338VLL73kNpPPggULsGDBAgDAnXfe2WlfURQxf/583HDDDZg7d27QYiYKBp4BJLpEQkICLBYLCgsLceLECTz//PNYuXIlBgwY4DbgLy8LESlDXl4ezpw5gy+//LJH+/3nP//Bu+++iw8++ACjR4/G6NGjcejQoQBFSRRcPANIdIlbb70V99xzD+bOnYvIyEj87Gc/w49//GOcOnXKtQ0vCxEpx3XXXYd+/fqhsLAQY8aM8Xm/66+/Hg6HI4CREUmHCSDRJQRBwPr167F+/XqPz/OyEJGyhIWF4ZZbbkFhYSGeeOIJqcMhkgVeAibqIV4WIlKevLw8HDx40O1MPpGW8QwgUQ/xshCR8kydOhVhYWH45z//iYULF/b+hRx2oLYEaKkCIlOApBwgROe/QImChGcAiYhI9QwGAyZPnuxxOBifVWwCCgcD/y8X2DnH+bNwsHM9kcIwASQiIk3Iy8tDUVERzGZzz3eu2ASUzAKaT7uvb650rmcSSArDBJCIiDRhxowZaGtrw8cff9yzHR12YP9DAEQPT363bv9i53ZECsEEkIiINGHQoEEYNWpUzy8D15Z0PvPnRgSaK5zbESkEE0AiItKMvLw8bN26FW1tbb7v1FLl3+2IZIAJIBERaUZeXh4aGhrw+eef+75TZIp/tyOSASaARESkGVdffTVSU1N7dBm4vd94tIWZPPYABJy9AO36Ac4hYYgUggkgERFpRkhICPLy8vDhhx9CFL2ldN9raWnB10eOolQ3H0Dn20A6Hn+tvwenz1T59JpEcsAEkIiINCUvLw9lZWU4cuRIl9s1NDSgtLQUFRUVcAy4HWUDnkVbaLLbNm2hRpQNeBb1UZPw1Vdf4cSJE2hvbw9k+ER+wZlAiIhIU3JzcxEdHY3CwkKMHDnS4zbV1dU4evQompubkZKSgpCQEDSE3YCGmEmIaT6AMHsd2nSJaIzKAgQd4gE0Nzfj+PHjaG5uxrBhwxAZGRnUchH1BBNA6pLdDpSUAFVVQEoKkJMD6KSY9UgJ0y/JKEbZ1BuRDEVERGDq1KkoLCzE8uXL3Z6z2+04deoU/vvf/0Kn08FkMkEQhO83EHRojB7j8XWjoqIQFhaG8vJytLa24sorr4TBYAhkUYh6TVWXgF966SVkZGQgIiIC2dnZKCnxPiZTUVERBEHotBw7diyIEcvbpk3A4MFAbi4wZ47z5+DBzvVBpYTpl2QUo2zqjUjG8vLysGfPHlRXV7vW2Ww2HDt2DEeOHEFkZCT69+/vnvz5ICwsDCkpKaivr8eXX36Js2fP+jt0Ir9QTQL47rvvYvHixXjsscdw4MAB5OTkYNq0aSgvL+9yv+PHj6Oqqsq1DBkyJEgRy9umTcCsWcDpS8Y+rax0rg9aMqGE6ZdkFKNs6o1I5m655RYIgoB//etfAICmpiYcPHgQ3377Lfr374/Y2Nhev3bHmcP29naUlpairKwMDofDX6ET+YVqEsDnn38e99xzD+69915ceeWVWLt2LdLT0/HnP/+5y/2Sk5NhMplci47XyWC3Aw89BHi6ma1j3eLFzu0CSgnTL8koRtnUG5ECJCUlYcKECSgsLERdXR2+/PJLVFdXw2QyQa/X9/n1BUFA//79ERERgcOHD+PYsWOw2Wx+iJzIP1TRB9Bms2H//v145JFH3NZPmTIFO3fu7HLfrKwstLa2YsSIEfjtb3+L3Nxcr9tarVZYrVbXY4vF0rfAZaqkpPMZpIuJIlBR4dxu8uQABuLj9Evmb/+F9oTre/02TU1NqK+v79W+oec+h8HXKaKMk3v1Hr6STb0RKcSMGTPw+OOPY9euXQgNDXXd7OFPsbGxCAsLwzfffIPm5mZceeWViI6O9ut7EPWGKhLAuro62O12GI1Gt/VGo9Gtf8fFUlJS8PLLLyM7OxtWqxV/+9vf8MMf/hBFRUWYOHGix33WrFmDVatW+T1+uanycTYjX7frNR+nVfrf1//BmfDefZUdDgfKysqwe/fuXu2favsPsnzZMAhTRDnrwwHgIICPASyDp0M84PVGpADt7e34wQ9+AKvVitLSUtx6660Be6+IiAiYTCZUVVW5bg7p379/wN6PyBeqSAA7XNpZVxRFrx14hw0bhmHDhrkejx8/HhUVFXjuuee8JoDLly9Hfn6+67HFYkF6erofIpeXFB9nM/J1u17zcVqlqMTLYYoy9eotBEFAXFwcTKbe7R/VfDlQ4cOGAZoi6sKFC9izZw927tyJwsISADsBNH/37G0ARnTaJ+D1RiRzLS0tOH78ONra2pCeno79+/cHNAEE4DrDWFtbi9LSUgwbNgwDBgzo8U0mRP6iigQwMTEROp2u09m+mpqaTmcFu3LttdfizTff9Pq8Xq/3S98QucvJAdLSnDcOeOpPJgjO53MCPetRUg4Qlea8mcJDHzsRzkFYm6Ku7lMj2nEHeG80RV0NW2gywtpr4PkVBGcZ/DBFlCiKKCsrw86dO7Fz504UFxfj6NGjEEUROp3uu07mHZ/TKFya/AWt3ohkzGw24+jRo67fD5MnT8aWLVvgcDj8fvn3UiEhITAajTh//jwOHTqE5uZmXH755ex7TpJQxU0g4eHhyM7Oxvbt293Wb9++HRMmTPD5dQ4cOIAUnh6BTge88ILz/5fmRR2P164NwrhyITog2xmIeEl65UxzBJw2LgUECRtPQYfTxmUXxfQ9V8zZa/s0HmB9fT3uuusuJCUl4fLLL8fcuXPxyiuv4MiRI65pp+x2+yVTUP3ePcxg1huRTJ09exZffvkl6uvrkZKSgrCwMEyaNAnnzp3D4cOHgxZHv379EBMTg+PHj+PQoUNobW0N2nsTdVBFAggA+fn5ePXVV/H666/j6NGjWLJkCcrLy7FgwQIAzsu38+bNc22/du1afPDBBzhx4gQOHz6M5cuXo6CgAAsXLpSqCLIycybw/vvAgAHu69PSnOtnzgxSIOkzgZz30Raa5LbaOf3SM2iIvSFIgXjXEHuDxymiHBGpQM77zjL0QWtrKwoLC91uVPE21ZQgCDAaL8eAAbe4rQ96vRHJSEdf39LSUrS3t7uN+HDVVVfBYDCguLg4qDFFR0cjKSkJFRUVKC0tVe1NhSRfqrgEDAB33XUX6uvr8cQTT6CqqgqZmZnYunUrBg0aBACoqqpyGxPQZrNh6dKlqKysRGRkJEaOHIktW7bglltu8fYWmjNzJnDbbdLPKNGUMBW7+r0Bo/BfxIRecJt+SS4aYt2niKo6D5h+cCcuS+/7uJIDBgzAm2++iVmzZnW7rSiKWLVqGe69N0TyeiOSA5vNhm+++Qb/+9//EBsb22l8v9DQUOTk5OCzzz4L+gmA8PBwmEwm1NTU4Msvv8SIESOQnJzc/Y5EfiCIoqdeXuQLi8UCg8EAs9mMuLg4qcNRraqqKuzbtw+pqal+7zA9fvx4LF68GHfddZdfX7e+vh6xsbEYO3as3/oVrVixAk888USX2xgMBlRVVWlmDlKlHoNKjVtpmpqacPToUZw5cwaJiYmIiIjwuN2OHTuwbNkyfPDBB5Lc2CeKIurr6yGKIoYNG4aBAwcGvD+i1vEYVNElYFKvuro66HQ6Rd0tFxMTA4vFgsbGRr+9ZkpKSpdDR4SEhGDRokWaSf6IXBx24GwRcPJt50+HHfX19Thw4ACqqqpgMpm8Jn+A8wbAsLCwLqcPDSRBEJCYmAi9Xo+vv/4ax44dQ1tbm/NJD2Uj8gfVXAImdbLZbKirq1PcwKl6vR51dXV+/etywYIFcDgceOCBBzw+HxIS4vU5ItWq2OScjeeiAdnbw1NQGfkLXAgZ59PgzlFRURg7diyKi4sxZ86cQEfsVVxcHMLDw/Htt9+ipaUFI+OOI+Lww+4D4kelOW+O62PfYiKeASRZa2hoQHNzM6KioqQOpcfCwsJQW1vrl9dqb2/H4sWL8cADD2D27NmIj493OyMaGhqKuXPn9mjYIyLF8zIPt85WhavMqzAs6rDPl1InTpyIAwcOSH4zRkREBIxGIxyn3od+708hymCOcVInJoAkaw0NDXA4HIocJys6Ohrnz59HS0tLn17n3LlzmDZtGtatW4d169bhrbfewocffuj2i629vR2//vWv+xoykXJ0MQ93x59GaWefA0TfLpnm5OTAbrfj888/91+MvRSqEzCq/XUA8DC+qEzmQSfFYwJIsmW323H27FnFXf7tEBkZiZaWFjQ0NPT6NY4ePYpx48bhyy+/xLZt21BfX48f/OAHmDZtmttZ0RtvvBEjR470Q9RECtHNXOECgPD2s4hpPuDTyxmNRlx55ZX47LPP/BRg78U0H0C418HlAbc5xol6iQkgyVbHTRRKTQBDQkIgCALOnTvXq/23bNmCcePGQa/XY+/evcjNzYXdbsdf/vIXHDlyBO+++66rY/tvfvMbf4ZOJH8+zq8dZq/z+SUnTpyInTt3fn8DhkR8jjkIc4yTejEBJNkym81ob29HWFiY1KH0WnR0NGpra2Gz2XzeRxRFPP3005gxYwZyc3Oxa9cuXHbZZRAEAatWrcKECRMwaNAgTJs2Dbfffjvuuusu3HTTTbjjjjvQr18/n8YLJFI8H+fXbtMl+vySkyZNQlNTE/bv39/bqPzC55gDNMc4aQMTQJIlURRx9uzZLoduUILo6Gg0NTX53LG8paUFP/vZz/DII4/g0UcfxebNm10D1546dQoLFy5EZmamayqp9957D9nZ2QCARYsW4Y033ghYWYhkpWOucC8XSkUAtlCjc9B4Hw0dOhQmk0nyy8CNUVmwhSZ76N3YQQCi0v0yxzhpFxNAkqXGxkaYzWbFXv7toNPpIIoizp8/3+22lZWVmDhxIjZv3ox33nkHv//97103etTV1WHs2LGoq6vD888/j88//xy7du2CTqfD6NGjAQC5ubmdZjkgUq2L5gq/NAns7VzhgiBg0qRJKC4uhqRzJHQxxzj8NMc4ERNAkiWz2Qyr1Qq9Xi91KH0WGRmJmpoa2O3e79jbs2cPrrnmGlRXV6OkpKTTzCRbt25Fe3s73n77bUyZMgUjR47EZ599BpvN5koAiTTnu7nCEeU+aXlf5gqfOHEiqqurceLECX9F2Sve5hhHVJpf5hgn4kDQJEu1tbUIDQ1V1Owf3kRHR6OhoQEXLlxAfHx8p+ffeOMN/OIXv0B2djYKCgpgMpk6bZOQkACLxYLCwkKMGDEC//znP7FmzRoMGDAASUlJQSgFkUylzwQG3IYjn/0F9sbT0BsG92mu8OzsbERHR6O4uBhDhw71c7A90zHHuLXi3xiR0Q8G03DnZV+e+SM/4BlAkp2WlhacP38eMTExUofiF+Hh4Whvb4fZbHZbb7fbsWzZMtx9992YM2cOduzY4TH5A4Bbb70V99xzD+bOnYvrr78elZWV+PGPf8yzf0QAEKLDhchsnI24AY3RY3qd/AHOAdwnTJggeT9AF0GH+tCr0Gq6AzBOZvJHfsMzgCQ7ZrMZzc3NXpMhJQoPD0dNTQ0GDhwIQRDQ0NCAn/zkJ9i2bRvWrl2LRYsWdXm2UxAErF+/HuvXrw9i1ETaNHHiRPzf//0fampqkJyc3P0ORArEM4AkO/X19RAEwecpnJSg4zJwc3Mzjh8/jnHjxmH37t346KOP8NBDD/nlUvfUqVNx5513YuvWrUhLS8PevXv9EDmR9lx33XXQ6XQoKeFAy6Re6vkNS6rQ1taG2tpaxd/9e6mIiAi0trbigw8+wLhx4xASEoIvvvgCU6ZM8dt7fPLJJ6itrUVzczNOnz6Na665xm+vTaQlBoMBo0ePRnFxsdShEAUME0CSlY7LvxdPc6YWhYWFmDdvHq677jrs3r0bQ4YMkTokIvJi0qRJ2Lt3L5qbm6UOhSggmACSrDQ0NMDhcCA0VD3dU61WK1auXIlXX30Vs2bNwj/+8Q8YDAapwyKiLkycOBE2mw27d++WOhSigGACSLJht9tx9uxZREZGSh2K39TW1uL+++/Htm3bsGrVKsydOxdNTU1Sh0VE3UhPT8dll13Gy8CkWkwASTYuXLiACxcuqKb/3+HDhzFv3jxUV1fj1VdfxfTp0yEIAs6dOyd1aETkg0mTJqGkpKTLQdyJlIoJIMmG2WxGW1sbwsPDpQ6lzz766CPcd999SEpKwt/+9jeMHDkSABAVFYWamhq0t7dLHCERdWfSpEkwm8346quvpA6FyO+YAJIsiKKImpoaxU/9Zrfb8eKLL+K3v/0tbrzxRrzyyituM3VER0e75jkmInkbOXIkEhIS5DMoNJEfMQEkWWhubkZDQ4OiL/82NjYiPz8fb7zxBhYvXoxVq1Z1SmhDQ0Nht9uZABIpQEhICHJyctgPkFSJCSDJgtlsRmtrKyIiIqQOpVcqKiowf/58HDhwAGvXrsXcuXO9Du4cGRmJ6upqOByOIEdJRD01adIknDp1CidPnpQ6FCK/YgJIslBXVwedTueXGTGCbc+ePZg3bx4cDgf++te/4rrrruty++joaFy4cAGNjY1BipCIemvs2LHQ6/W8DEyqwwSQJGe1WlFfX4+YmBipQ+kRURTx9ttv48EHH8TIkSOxceNGZGRkdLufXq+HzWbjZWAiBYiMjMS4ceOYAJLqMAEkyZnNZjQ1NSlq9g+bzYbf/e53eO655zB79mysXbsWcXFxPu8fHh6OmpqaAEZIRP4yceJEHDx4EOfPn5c6FCK/YQJIkusYFy8kRBlfx/r6eixYsABbt27FypUrkZ+f3+OZS6Kjo9HQ0MBppogUICcnBw6HA//5z3+kDoXIb5TxG5dUq729HTU1NYo5+3f06FHMnTsXp0+fxiuvvIIZM2b06nUiIyPR3NzMy8BECpCYmIjMzEzFXwaurq7GokWLeAMaAQDUM+EqKZLFYkFjYyMSExOlDqVb27Ztw8qVK3HZZZfhD3/4A4xGY69fSxAEhISEoK6uDikpKX6MkogCYdKkSXj99ddhtVoVM17pyy+/jLfeestt3fHjxzFs2DA88MADEkVFcsEzgCSphoYG2O32Hl9CDSaHw4GXXnoJy5cvR25uLl599dU+JX8dYmJiUFdXB5vN5ocoiSiQJk2ahJaWFuzfv1/qUHz2i1/8AkVFRa5l06ZNyM7Oxk9/+lOpQyMZYAJIknE4HKipqZH12H9NTU1YunQpXn/9dTz44IP4/e9/77d4o6KieBmYSCEuu+wyDBgwQNGDQsfExKCgoADx8fFSh0IywASQJNMxJZpch385ffo0fv7zn2Pfvn14/vnnMX/+fL+OU6jT6SCKIu8sJFIAQRAwadIkfPbZZxBFUepweiU8PFwxl68p8JgAkmTMZjNsNpssG6S9e/di3rx5sFqt2LhxIyZOnBiQ94mKikJNTQ3sdntAXp+I/GfixImoqanBsWPHpA7FJ1arFRkZGRg6dCgsFovU4ZDMyLfjlYLY7UBREVBVBaSkADk5gE4ndVQy5bADtSVASxWaKywID0uXLBS7HXA4gCNHorBvXwyyshoREiLivffew3PPPYfs7Gw89dRTMBgMAYshOjoa5+pr0Vy2FbGhjUBkCpCUA4TwC+SN3Q6UlDiPtx4MvShLJSWAxaK+duPiOlJT2UaPHo3Y2Fi8/fYuTJgwAYmJbcjKapRt2c6dO+eawi49PR3Lli3DokWLvI5ZqtZ6AzqXbdQoqSOSnqrOAL700kvIyMhAREQEsrOzUVJS0uX2xcXFyM7ORkREBC677DKsX7++V++bmQnk5gJz5jh/Dh4MbNrUq5dSt4pNQOFg4P/lAjvnYFjFAkw2z0f8hR1BD2XHjnhMn56J9nYB//pXf9x//1DceutQLFz4Bzz99NO488478eKLLwY0+QOApNYSTDbPR+wXecDOOc7PpnCw87OiTjZtch5fHcfb9OnSxdLT9saT6dPV125cWkdqKltJSRJstluxZct/8NhjGbj//qGYPj0TO3bESx1atywWC1asWIH09HT8/ve/73RGUM315qlsmZlSRyU91SSA7777LhYvXozHHnsMBw4cQE5ODqZNm4by8nKP25eVleGWW25BTk4ODhw4gEcffRSLFi1CQUFBj9/7zBn3x5WVwKxZ6jhw/KZiE1AyC2g+7bY63F6LjMplQU0Cd+yIx7JlGaipCbtobS1qa2/B7t3v484712DZsmUBvzM5/sIOZFQuQ4RY7/5Ec6Xzs2IS6GbTJudxdfp099sGWk/bG1+ood3wVkdqKFtHu2G13gagFICzrmtqwrBsWYYsk8BLZxtyOBywWCx4/PHH3RJBNdebt7Jd+ntbiwRRqb1ZLzFu3DhcffXV+POf/+xad+WVV+L222/HmjVrOm3/8MMPo7CwEEePHnWtW7BgAQ4ePIhdu3b59J4Wi+W7M0RmAO6n1AUBSEsDysrUcwq91xx251mtZs+/uUUAbaFGfH35PwEhsB+W3Q5Mn575XfInAIgAsATA2wBaABTAaByLf/7z68DWm2hH5rfTEdZeA8+3lQhAVBqQV8bLwXDW2+DBnpI/CwADzGZzj6bi66uetjeX8tZ2KLnd8F5HToEu2549e3DhwgUkJCT4/bXd2w0LgEQAawF0jKUnwmhsC1i7cebMGVxzzTU9Hn7q73//O372s595fT4kJATR0TEQhGWwWBbh0t9jgJq/k9K0HXKiij6ANpsN+/fvxyOPPOK2fsqUKdi5c6fHfXbt2oUpU6a4rZs6dSpee+01tLW1ISwsrNM+VqsVVqvV9birTrWiCFRUOPscTJ7cg8KoUW2J1+QPcKZh4e1nEdN8AI3RYwIayoEDMaipCb9ojQPAHwBkAvgAwECcPevcbsyYxoDFEdN8AOHtXc0FLALNFc7Pzjg5YHEoRUmJPM78Ab1rb3xtO5TcbnRXR0oum3u7YQAwCcAGAINd25w9C7zxRiWuuKLF7+9/7tw5NDQ0oF+/fj3a78MPP+zyeYfDgQsXLAD+D8BqAD8G8BKA72dmUnK9yandkCNVJIB1dXWw2+2d/joyGo2orq72uE91dbXH7dvb273OzrBmzRqsWrWqR7FVVfVoc3Vq8e1DCLPXBTgQoK7u0sReAHANgG24uNHrvJ1/+VxWHz87tZPTcdSb9qanbYecyusrX2NWYtk6twdXA3gWgHsn1HXrghVRILQA+CuA0QAWd3pWifWmxJiDSRUJYIdLx2gTRbHLcds8be9pfYfly5cjPz/f9dhisSA9veu7WDnLF5x3tvqgTRf46eASE9suWdMMoPN1jc7b+ZfPZfXxs1M7OR5HPWlvetp2yLG83fE1ZiWWrXN78AyA/E7bPfPMtxg1qsnv73/27FmMHj0aSUlJPdrv2muvxalTp7rcRhCE7373/QDAbwHM8ridEutNiTEHkyoSwMTEROh0uk5/fdfU1HjtM2EymTxuHxoaiv79+3vcR6/X+zxmXUe/iZwcnzZXt6QcZ3+25ko4e/y56+gD2BiVFfBQsrIakZxsu6gP4KXJn7MvT1ZW4C7/AkBjVBZsocnd9wFM4hcIcB5HaWnOTulS91ruTXvja9uh5HajuzpSctk6txsAYLpoC2e7MXnyGeh0kX5/f5vNhuTk5B71AWxubkZFRYXX53U6Hex2O4YMGYKTJ5Nhs30GeGiNlFxvcmo35EgVdwGHh4cjOzsb27dvd1u/fft2TJgwweM+48eP77T9tm3bMGbMGI/9/3qi4yTA2rXK6zQbECE6IPuF7x5cctbku3WnjUsDfgMI4KyPZcs6OoVc2iKIEARg6dLTga83QYfTxmUeo3B9RtlreQPId3Q64IXvvkJ+nIylV3rT3vhC6e1GV3WkhrLJot3ogYMHD0LXRUCjR4/Gxx9/jPXr1+Pqq40QBEGV9SaXdkOOVJEAAkB+fj5effVVvP766zh69CiWLFmC8vJyLFiwAIDzEsy8efNc2y9YsACnTp1Cfn4+jh49itdffx2vvfYali5d2uP3Tk11f5yWBrz/PjBzZp+KpC7pM4Gc94GoAW6rrbpklA14Bg2xNwQtlBtuaMCzz5YhOdn9so7R2IZnninDDTc0BCWOhtgbUDbgWbQKl5xxjkpzflbp/AJdbOZM53E1YED32wZad+1Nb6ih3fBWR2oom1zaDV8dPHgQl112Waf1o0aNwkcffYS9e/di6tSpEAQBAwaot968fSfl0I5ITTXDwADOgVmfeeYZVFVVITMzE3/84x9dU3jNnz8fJ0+eRFFRkWv74uJiLFmyBIcPH0ZqaioefvjhHjXgHUM5nDtnxsGDcaocPd3vLpoJ5H9VLTh2LgmmFGmORLvdeXdfXV2YZCP6W61WWMzncf1QEdEhFs4E4gP3mUAsmD5dmqEcumpvutPRdvzrX2ZYLHGqazekmFEikMPAXEyKdqO3w8BUVVUh9bszFNnZ2fj973/vSvo6FBUVYd26dXj//fc1NhOIBQkJ2h4GRlUJYLB1NOJa/gL1xZkzZ7B//36kpqZ2ebOOmtXX1yM2Nhbjxo3T7GfQF0o9BpUat5wFKwGUQm8TQIfDgRUrVuC6667rlPgBzqHPvvzySzQ1NSEhIQGbN2/GNddc48/QZYvHoEpuAiFlMhgMiIiIQEtLC6KiorrfQYWsVisuv/xyJn9E5HchISH43e9+5/X5Tz75JIjRkNyopg8gKU9UVBT69euHpib/D5ugBO3t7dDpdIiPj5c6FCIi0hgmgCQZQRCQlJTkNkOCljQ2NiI6Olqzlx+IiEg6TABJUvHx8dDr9bDZbFKHEnTNzc1ITk5GaCh7YhARUXAxASRJxcbGIiYmBo2NgR14WW4cDgcAqLLDOhERyR8TQJJUSEgITCYTWlr8P4G6nDU3NyM6OhoGg0HqUIiISIOYAJLk4uPjERISgvb2dqlDCZrGxkb079/f56kFiYiI/IkJIEkuLi4OsbGxaG5uljqUoBBFEXa7HYmJiVKHQkREGsUEkCQXFhaGpKQkzfQDbG1tRUREBC//EhGRZJgAkix03AzRcXOEmjU1NSE+Pl6zg18TEZH0mACSLBgMBkRFRWniMrDVakVycjJn/yAiIskwASRZiIiIQEJCgupnBbHZbAgLC+PsH0REJCkmgCQbiYmJaGtrgyiKUocSME1NTYiNjUVsbKzUoRARkYYxASTZiI+PR2RkJFpbW6UOJWBaWlpgNBoREsJDj4iIpMPfQiQbHfPiqrUfYHt7O0JCQnj5l4iIJMcEkGRDEAQYjUbVngFsbm5GVFQUh38hIiLJMQEkWTEYDAgNDUVbW5vUofhdU1MTkpOTERYWJnUoRESkcUwASVY6ZgVR26DQDocDoii6xjskIiKSEhNAkhWdTofk5GS0tLRIHYpftbS08PIvERHJBhNAkp1+/fpBEATY7XapQ/GbxsZG9OvXD5GRkVKHQkRExASQ5Edts4KIooj29nYkJSVJHQoREREAJoAkQ+Hh4UhKSlJNP0Cr1Qq9Xs/Lv0REJBtMAEmW+vfvD4fDAYfDIXUofdbU1ASDwYCYmBipQyFSJ4cdsS37YWzdgZimfYConu4jEO3o334IEdWbgbNFgENFZSNJhUodAJEnHZeBW1tbERUVJXU4fdLa2oorrrgCgiBIHQqR+lRsAvY/hBHNp52PLYAtNBmnjcvQEHuDtLH1UfyFHUg7+yzC22uAw3AuUWlA9gtA+kypwyOF4xlAkqWoqCjEx8ejqalJ6lD6pK2tDaGhoZz9gygQKjYBJbOAjuTvO2HtNcioXIb4CzskCqzv4i/sQEblMoS117g/0VzpLHPFJmkCI9VgAkiylZycDJvNJnUYfdLU1ISYmBjExcVJHQqRujjswP6HAIidnuo415529jllXg4W7Ug7+yyA78ty0ZPOH/sX83Iw9QkTQJItg8GA8PBwWK1WqUPptebmZhiNRuh0OqlDIVKX2pJOZ/4uJgAIbz+LmOYDwYvJT2KaDyC8vcZD8tdBBJornJ8BUS8xASTZiomJQWxsrGIvA9vtdgiCwMu/RIHQUuXTZmH2ugAH4n8+x+zjZ0DkCRNAkq2QkBCYTCbFzgrS3Nzs6stIRH4WmeLTZm26xAAH4n8+x+zjZ0DkCRNAkrX4+HjodDq0t7dLHUqPNTU1ITExEeHh4VKHQqQ+STnOO2K9XCgVAVhDjWiMygpqWP5QKwxHi9DfQ+/GDgIQle78DIh6iQkgyVpcXBxiYmIUdxlYFEXY7XYkJirv7AORIoTonMOhALg0CRS/e/xV6M/RbveeRsmRxWJBg/kC6gc/Dme5Lk1wv3ucvdb5GRD1EhNAkrXQ0FAkJycrblq4lpYWREZG8u5fokBKnwnkvA9EDXBbLUSlwXrN3xEyaBaqq6sV0Y1EFEXU1taira0NmZmZSB23EIKHsiEqzVlmjgNIfcSBoEn2EhIS8M0338DhcCAkRBl/szQ1NaF///6Ijo6WOhQidUufCQy4zXlHbEuVs19cUg4iQnT4QVsbIiMj8b///Q9tbW2y/YPMbrfj7NmziIuLw/Dhw5GcnOx8wkvZeOaP/IEJIHXJbgdKSoCqKiAlBcjJAYI9oonBYEBUpB5h5/6DuPAmtOkSnf16BJk1gqIdMc0HEGavQ0uTiOThcyQLRQ71RhQ0ITrAOLnT6rCwMAwfPhxRUVE4fvw46urq0L9/f1nNymOz2VBbWwuj0Yjhw4d3TlK9lI2or5RxOqUb58+fx9y5c2EwGGAwGDB37lw0NDR0uc/8+fMhCILbcu211wYnYIXYtAkYPBjIzQXmzHH+HDzYuT6Y9DVbcH39XIyqW4yMM49haMX9yPx2uqxG+Y+/sAOZ307H0Ir7kXHmMVzX+luk7b9ektH65VJvRHIQEhKCwYMHIysrC3q9HlVVVbDb5TGAclNTE2prazFo0CCMGjVKtmcoSZ1UkQDOmTMHpaWl+Pjjj/Hxxx+jtLQUc+fO7Xa/m2++GVVVVa5l69atQYhWGTZtAmbNAk5fMs5qZaVzfdCSie+megprP+u2Wk5TPXmbsklorQr6lE2yqTcimUlOTkZWVhYSExNRVVUl+SxD58+fR2NjI4YPH46RI0dCr9dLGg9pj+ITwKNHj+Ljjz/Gq6++ivHjx2P8+PF45ZVX8K9//QvHjx/vcl+9Xg+TyeRaEhISghS1vNntwEMPAaKHm+c61i1e7NwuoC6a6snLfXDST/XUxZRNQpCnbJJNvRHJVFxcHEaPHo1BgwahtrZWktEFHA4HqqurIQgCRo0ahSuuuIIzBZEkFN8HcNeuXTAYDBg3bpxr3bXXXguDwYCdO3di2LBhXvctKipCcnIy4uPjMWnSJDz55JPfd771wGq1uk1LZrFY/FMImSkp6XwG6WKiCFRUOLebPDmAgfg41VNYw25YIq4OYCDexbV+ifBLJ2t3c9GUTQHuxyObeiOSsYiICGRmZiIqKgrffPMNbDYb+vXrF5T3bm9vx9mzZ5GQkIARI0YE7X2JPFF8AlhdXe0xaUtOTkZ1dbXX/aZNm4Y777wTgwYNQllZGf7v//4PN9xwA/bv3+/1VPyaNWuwatUqv8UuV1U+zi7k63a95us0Ry1VaBGlGeYhrtX3GANNNvVGJHM6nQ5XXHEFoqKicOzYMdfvkUCOMtDS0oJz584hNTUVw4cP5wgBJDnZJoArV67sNtnau3cvAHi8o0sUxS7v9Lrrrrtc/8/MzMSYMWMwaNAgbNmyBTNneh5fafny5cjPz3c9tlgsSE9P7zJGJUrxcXYhX7frNR+nORr6g0m4Ium6AAfjWUitHfh8TfcbBmHKJtnUG5ECCIKAAQMGIDIyEkePHkVVVRWMRiNCQ/3/a9FisaCxsRGXX345hgwZgrCwML+/B1FPyTYBXLhwIWbPnt3lNoMHD8ZXX32Fs2fPdnqu47Z6X6WkpGDQoEE4ceKE1230er0mOurm5ABpac4bBzz1JxME5/M5gZ6FqGOqp+ZKwOOkSAIQlQZ92o3SjYuVdqNPMQZjyibZ1BuRgiQkJGD06NE4duwYKisrkZiYiIiICL+8tiiKqK+vhyiKyMzMxMCBAxUzlimpn2wTwMTERJ+m0Ro/fjzMZjO++OILjB07FgCwZ88emM1mTJgwwef3q6+vR0VFBVJ4egQ6HfDCC867RgXBPZnoOKm6dm0QxpXrmOqpZBacPf4uzmpkMh2SjGKUTb0RKUx0dDSuuuoq16DRsbGxiI2N7dNrdgzuHBsbiyuvvLLL/uVEUlD8nyJXXnklbr75Ztx3333YvXs3du/ejfvuuw/Tp093uwFk+PDh2Lx5MwCgsbERS5cuxa5du3Dy5EkUFRVhxowZSExMxB133CFVUWRl5kzg/feBAZfMQpSW5lzv5Sq5/3mZ6klW0yHJKEbZ1BuRwoSHh7uGZGltbUVdXR1ET6fSfWCz2VBVVYXExERkZWUx+SNZEsTefsNl5Ny5c1i0aBEKCwsBAHl5eVi3bh3i4+Nd2wiCgA0bNmD+/PloaWnB7bffjgMHDqChoQEpKSnIzc3F7373ux716bNYLDAYDDCbzaodwFM2M0o47PKfDklGMcqm3gJMqcegUuPWirNnz+Lo0aNoampCcnJyj4ZpaWpqQkNDAwYOHIhhw4b57XIy+RePQZUkgFLhF4hIWko9BpUat5ZYLBYcOXIEtbW1SEpKQnh4eLf7nD9/HjabDVdccQUuu+wyju8nYzwGVXAJmIiIyN86Bo1OT09HbW0tmpubnU+IdsQ07UM/y8eIadoHiHbX4M4AcNVVV3FwZ1IE2d4EQkREJKVLB402WP4fhjW+5Db4u1WXjK/C/j8YjNMxfPhw9O/fX8KIiXzHBJCIiMiL0NBQDBkyBAnNxeh/ZGWn58PtNRhjfwrW5KsQ0V+a8UiJeoOXgImIiLogiA4knnzC+f9Ln/vu34jDjwRlzm8if2ECSERE1JXv5iX3NreUcPGc30QKwQSQiIioKz2Yl5xIKZgAEhERdcXXubyDMOc3kb8wASQiIupKx7zkXVwERlR6UOb8JvIXJoBERERd6ZjzG4C320Akn5ecqIeYABIREXVHRnN+E/kDxwEkIiLyRfpMYMBtspnzm6gvmAASERH5KkQHGCdLHQVRn/ESMBEREZHGMAEkIiIi0hgmgEREREQawwSQiIiISGOYABIR9cDgwYMhCILb8sgjj0gdFhFRj/AuYCKiHnriiSdw3333uR7HxMRIGA0RUc8xASQi6qHY2FiYTCapwyAi6jVeAiYi6qGnn34a/fv3x+jRo/Hkk0/CZrN1ub3VaoXFYnFbiIikxDOAREQ98NBDD+Hqq69Gv3798MUXX2D58uUoKyvDq6++6nWfNWvWYNWqVUGMkoioa4IoiqLUQSiVxWKBwWCA2WxGXFyc1OEQaY6/jsGVK1d2m6Dt3bsXY8aM6bS+oKAAs2bNQl1dHfr37+9xX6vVCqvV6hZ3eno62w4iifD3N88AEhFh4cKFmD17dpfbDB482OP6a6+9FgDwzTffeE0A9Xo99Hp9n2IkIvInJoBEpHmJiYlITEzs1b4HDhwAAKSkpPgzJCKigGICSETko127dmH37t3Izc2FwWDA3r17sWTJEuTl5WHgwIFSh0dE5DMmgEREPtLr9Xj33XexatUqWK1WDBo0CPfddx9+85vfSB0aEVGPMAEkIvLR1Vdfjd27d0sdBhFRn3EcQCIiIiKNYQJIREREpDFMAImIiIg0hgkgERERkcYwASQiIiLSGCaARERERBrDBJCIiIhIY1QxDuCTTz6JLVu2oLS0FOHh4WhoaOh2H1EUsWrVKrz88ss4f/48xo0bhz/96U8YOXJkj9/fbgeKioCqKiAlBcjJAXS6npeDgstuB0pKWG9Kc3G9aXQO915R8/edZVMmNZdNEUQVePzxx8Xnn39ezM/PFw0Gg0/7PPXUU2JsbKxYUFAgHjp0SLzrrrvElJQU0WKx+Py+ZrNZBCCmpppFQHQtaWmiWFDQy8JQUBQUOOuJ9aYsnevNeQyazWapQ+uRjrYjWHGr+fvOsimT1GUL9jEoR6pIADts2LDBpwTQ4XCIJpNJfOqpp1zrWltbRYPBIK5fv97n9+v4Ajl/CX3/JRYE56KGg1SNCgqc9XNxnbHe5M9zvSmzEQ/mLx81f99ZNmWSQ9mYAIqiJvsAlpWVobq6GlOmTHGt0+v1mDRpEnbu3Nnn1xdF58/Fi52nuEk+7HbgoYe+r6OLsd7kq6t6I+/U/H1n2Vg26htNJoDV1dUAAKPR6LbeaDS6nvPEarXCYrG4Ld6IIlBR4ezfQPJRUgKcPu39edabPHVXb+SZmr/vLBvLRn0j2wRw5cqVEAShy2Xfvn19eg9BENwei6LYad3F1qxZA4PB4FrS09O7fY+qqj6FSH7ma32w3uSF9dE7av6+s2wsG/WNbO8CXrhwIWbPnt3lNoMHD+7Va5tMJgDOM4EpKSmu9TU1NZ3OCl5s+fLlyM/Pdz22WCzdJoEXvTzJgK/1wXqTF9ZH76j5+86ysWzUN7JNABMTE5GYmBiQ187IyIDJZML27duRlZUFALDZbCguLsbTTz/tdT+9Xg+9Xu/TewgCkJbmvK2d5CMnx1kvlZWe+6Cw3uSpu3ojz9T8fWfZWDbqG9leAu6J8vJylJaWory8HHa7HaWlpSgtLUVjY6Nrm+HDh2Pz5s0AnJd+Fy9ejNWrV2Pz5s34+uuvMX/+fERFRWHOnDl9jqfjKvLatRzTSG50OuCFF5z/v/RqP+tNvrqqN/JOzd93lo1loz6S+jZkf7j77ru/G47Fffn0009d2wAQN2zY4HrscDjEFStWiCaTSdTr9eLEiRPFQ4cO9eh9vY0DmJ6u7Fv0tcDTGFSsN/njOIC9o+bvO8umTFKXjcPAiKIgiryg0lsWiwUGgwHnzplx8GAcRzNXGI5Cr0zuM4FYMH26AWazGXEKmhako+0IZtxq/r6zbMokZdmkOAblhglgH/ALRCQtpR6DSo2bSC14DKqkDyARERER+Y4JIBEREZHGMAEkIiIi0hgmgEREREQawwSQiIiISGOYABIRERFpDBNAIiIiIo1hAkhERESkMUwAiYiIiDSGCSARERGRxjABJCIiItIYJoBEREREGsMEkIiIiEhjmAASERERaQwTQCIiIiKNYQJIREREpDFMAImIiIg0hgkgERERkcYwASQiIiLSGCaARERERBrDBJCIiIhIY5gAEhEREWkME0AiIiIijWECSERERKQxTACJiIiINIYJIBEREZHGMAEkIiIi0hgmgEREREQawwSQiIiISGOYABIRERFpDBNAIiIiIo1hAkhERESkMUwAiYiIiDRGFQngk08+iQkTJiAqKgrx8fE+7TN//nwIguC2XHvttYENVIHsdqCoCHj7bedPu13qiMgXrDciIupKqNQB+IPNZsOdd96J8ePH47XXXvN5v5tvvhkbNmxwPQ4PDw9EeIq1aRPw0EPA6dPfr0tLA154AZg5U7q4qGusNyIi6o4qEsBVq1YBADZu3Nij/fR6PUwmUwAiUr5Nm4BZswBRdF9fWelc//77TCbkiPVGRES+UMUl4N4qKipCcnIyhg4divvuuw81NTVShyQLdrvzDNKlSQTw/brFi3lZUW5Yb0RE5CvNJoDTpk3D3//+d+zYsQN/+MMfsHfvXtxwww2wWq1e97FarbBYLG6LGpWUuF8+vJQoAhUVzu1IPlhvRETkK9kmgCtXrux0k8aly759+3r9+nfddRduvfVWZGZmYsaMGfjoo4/w3//+F1u2bPG6z5o1a2AwGFxLenp6r99fzqqq/LsdBQfrjYiIfCXbPoALFy7E7Nmzu9xm8ODBfnu/lJQUDBo0CCdOnPC6zfLly5Gfn+96bLFYVJkEpqT4dzsKDtYbERH5SrYJYGJiIhITE4P2fvX19aioqEBKF78d9Xo99Hp90GKSSk6O867RykrP/ckEwfl8Tk7wYyPvWG9EROQr2V4C7ony8nKUlpaivLwcdrsdpaWlKC0tRWNjo2ub4cOHY/PmzQCAxsZGLF26FLt27cLJkydRVFSEGTNmIDExEXfccYdUxZANnc45ZAjgTBou1vF47VrndiQfrLe+82VM0fLycsyYMQPR0dFITEzEokWLYLPZghsoEVEfqSIBfPzxx5GVlYUVK1agsbERWVlZyMrKcusjePz4cZjNZgCATqfDoUOHcNttt2Ho0KG4++67MXToUOzatQuxsbFSFUNWZs50DhkyYID7+rQ0DiUiZ6y3vukYU/SXv/ylx+ftdjtuvfVWNDU14fPPP8c777yDgoIC/PrXvw5ypEREfSOIoqeLReQLi8UCg8EAs9mMuLg4qcMJCLvdeddoVZWz71hODs8gKYFW6i1Qx+DGjRuxePFiNDQ0uK3/6KOPMH36dFRUVCA1NRUA8M4772D+/PmoqanxOQYttB1EcsZjUMZ9AEkedDpg8mSpo6CeYr0Fxq5du5CZmelK/gBg6tSpsFqt2L9/P3JzcyWMjojId0wAiYh8VF1dDaPR6LauX79+CA8PR3V1tdf9rFar2xijah1DlIiUQxV9AImIvPH3mKLCpXfYABBF0eP6DloZQ5SIlINnAIlI1fw5pqjJZMKePXvc1p0/fx5tbW2dzgxeTCtjiBKRcjABJCJV8+eYouPHj8eTTz6Jqqoq15ih27Ztg16vR3Z2ttf9tDKGKBEpBxNAIqLvlJeX49y5c25jigLAFVdcgZiYGEyZMgUjRozA3Llz8eyzz+LcuXNYunQp7rvvPs3eSUhEysQEkIjoO48//jj++te/uh5nZWUBAD799FNMnjwZOp0OW7Zswa9+9Stcd911iIyMxJw5c/Dcc89JFTIRUa9wHMA+4DhCRNJS6jGo1LiJ1ILHIO8CJiIiItIcJoBEREREGsMEkIiIiEhjmAASERERaQwTQCIiIiKNYQJIREREpDFMAImIiIg0hgkgERERkcYwASQiIiLSGCaARERERBrDBJCIiIhIY5gAEhEREWkME0AiIiIijWECSERERKQxTACJiIiINIYJIBEREZHGMAEkIiIi0hgmgEREREQawwSQiIiISGOYABIRERFpDBNAIiIiIo1hAkhERESkMUwAiYiIiDSGCSARERGRxjABJCIiItIYJoBEREREGqP4BPDkyZO45557kJGRgcjISFx++eVYsWIFbDZbl/uJooiVK1ciNTUVkZGRmDx5Mg4fPtyrGOx2oKgIePtt50+7vVcvQ0HGelOmi+utpETqaPqmpESd3z81H1ssmzKpuWy9JircRx99JM6fP1/85JNPxG+//Vb88MMPxeTkZPHXv/51l/s99dRTYmxsrFhQUCAeOnRIvOuuu8SUlBTRYrH4/N5ms1kEIKammkVAdC1paaJYUNDXklEgFRQ464n1piyd6815DJrNZqlD65GOtsMZv7q+f2o+tlg2ZfJUNufvbeW1Hf6k+ATQk2eeeUbMyMjw+rzD4RBNJpP41FNPuda1traKBoNBXL9+vc/v46kRB0RREJyLGg4cNSoocNbPxXXGepM/z/WmzEbcU9uhhu+fmo8tlk2ZvJVNqW2HPyn+ErAnZrMZCQkJXp8vKytDdXU1pkyZ4lqn1+sxadIk7Ny5s8/vL4rOn4sX8zSz3NjtwEMPfV9HF2O9yVdX9aYWSv/+qfnYYtnUVzZSQR/AS3377bd48cUXsWDBAq/bVFdXAwCMRqPbeqPR6HrOE6vVCovF4rZ4I4pARYXy+yipTUkJcPq09+dZb/LUXb2phZK/f2o+tlg2dZZN62SbAK5cuRKCIHS57Nu3z22fM2fO4Oabb8add96Je++9t9v3EATB7bEoip3WXWzNmjUwGAyuJT09vdv3qKrqdhMKIl/rg/UmL1qrDyWWV83HFsum7rJpVajUAXizcOFCzJ49u8ttBg8e7Pr/mTNnkJubi/Hjx+Pll1/ucj+TyQTAeSYwJSXFtb6mpqbTWcGLLV++HPn5+a7HFoul2yTwopcnGfC1Plhv8qK1+lBiedV8bLFs6i6bVgmiqPyr45WVlcjNzUV2djbefPNN6HS6LrcXRRGpqalYsmQJfvOb3wAAbDYbkpOT8fTTT+P+++/36X0tFgsMBgMAM4A4t+cEAUhLA8rKgG7CoSCy24HBg4HKSs/9Qlhv8uS93iwADDCbzYiLi/O8swx5azuU/P1T87HFsqmxbMpsO/xJtmcAfXXmzBlMnjwZAwcOxHPPPYfa2lrXcx1n+gBg+PDhWLNmDe644w4IgoDFixdj9erVGDJkCIYMGYLVq1cjKioKc+bM8fm9v8+dO/cFFEVg9WqgqanXRaMAWbMGmDvX83OsN/nyXG/OY09pf8d6azuU/v1T87HFsgU3Jn/xXjZlth1+Jd0NyP6xYcOG74ZT6LxcDIC4YcMG12OHwyGuWLFCNJlMol6vFydOnCgeOnSoR+9dUVHh9b25cOESvKWiosIfzUnQsO3gwkUei9LaDn9SxSVgqTgcDpw5cwaxsbG4cOEC0tPTUVFRobrTyR19HVk2ZdFC2crLyyEIAlJTUxESItt72jq5uO3o6sazvlBz/UuNn21gBePzFUURFy5cUFzb4U+KvwQspZCQEKSlpQH4/o7iuLg41TYILJsyqblsBoNBkWW7uO0INDXXv9T42QZWoD9fZz9c7dJm2ktERESkYUwAiYiIiDSGCaCf6PV6rFixAnq9XupQ/I5lUyaWTdv4GQUOP9vA4ucbHLwJhIiIiEhjeAaQiIiISGOYABIRERFpDBNAIiIiIo1hAkhERESkMUwA/ezkyZO45557kJGRgcjISFx++eVYsWIFbDab1KH5xZNPPokJEyYgKioK8fHxUofTJy+99BIyMjIQERGB7OxslJSUSB2SX3z22WeYMWMGUlNTIQgCPvjgA6lD8os1a9bgmmuuQWxsLJKTk3H77bfj+PHjUoclS74cp+Xl5ZgxYwaio6ORmJiIRYsWqaadCjS1th3B1F07JYoiVq5cidTUVERGRmLy5Mk4fPiwNMGqFBNAPzt27BgcDgf+8pe/4PDhw/jjH/+I9evX49FHH5U6NL+w2Wy488478ctf/lLqUPrk3XffxeLFi/HYY4/hwIEDyMnJwbRp01BeXi51aH3W1NSEUaNGYd26dVKH4lfFxcV44IEHsHv3bmzfvh3t7e2YMmUKmpQ6S30AdXec2u123HrrrWhqasLnn3+Od955BwUFBfj1r38d5EiVR81tRzB1104988wzeP7557Fu3Trs3bsXJpMJN910Ey5cuBDkSFVMyomIteKZZ54RMzIypA7DrzZs2CAaDAapw+i1sWPHigsWLHBbN3z4cPGRRx6RKKLAACBu3rxZ6jACoqamRgQgFhcXSx2KbHk7Trdu3SqGhISIlZWVrnVvv/22qNfrRbPZHMQIlUcrbUcwXdpOORwO0WQyiU899ZRrXWtrq2gwGMT169dLEKE68QxgEJjNZiQkJEgdBn3HZrNh//79mDJlitv6KVOmYOfOnRJFRT1lNpsBgMdWL+zatQuZmZlITU11rZs6dSqsViv2798vYWTyxrYjOMrKylBdXe32Oev1ekyaNImfsx8xAQywb7/9Fi+++CIWLFggdSj0nbq6OtjtdhiNRrf1RqMR1dXVEkVFPSGKIvLz83H99dcjMzNT6nAUp7q6utP3v1+/fggPD+cx0AW2HcHR8Vnycw4sJoA+WrlyJQRB6HLZt2+f2z5nzpzBzTffjDvvvBP33nuvRJF3rzdlUwNBENwei6LYaR3J08KFC/HVV1/h7bffljqUoPH3cerpu85jwDdsO4KDn3NghUodgFIsXLgQs2fP7nKbwYMHu/5/5swZ5ObmYvz48Xj55ZcDHF3f9LRsSpeYmAidTtfpL8mamppOf3GS/Dz44IMoLCzEZ599hrS0NKnDCRp/Hqcmkwl79uxxW3f+/Hm0tbXxGOgC247gMJlMAJxnAlNSUlzr+Tn7FxNAHyUmJiIxMdGnbSsrK5Gbm4vs7Gxs2LABISHyPtHak7KpQXh4OLKzs7F9+3bccccdrvXbt2/HbbfdJmFk1BVRFPHggw9i8+bNKCoqQkZGhtQhBZU/j9Px48fjySefRFVVlesX7LZt26DX65Gdne2X91Ajth3BkZGRAZPJhO3btyMrKwuAs/9lcXExnn76aYmjUw8mgH525swZTJ48GQMHDsRzzz2H2tpa13Mdf9UoWXl5Oc6dO4fy8nLY7XaUlpYCAK644grExMRIG1wP5OfnY+7cuRgzZozrLG15ebkq+mo2Njbim2++cT0uKytDaWkpEhISMHDgQAkj65sHHngAb731Fj788EPExsa6zsIYDAZERkZKHJ28dHecTpkyBSNGjMDcuXPx7LPP4ty5c1i6dCnuu+8+xMXFSRu8zKm57Qim7tqpxYsXY/Xq1RgyZAiGDBmC1atXIyoqCnPmzJEwapWR8hZkNdqwYYMIwOOiBnfffbfHsn366adSh9Zjf/rTn8RBgwaJ4eHh4tVXX62a4UQ+/fRTj3V09913Sx1an3g7rjZs2CB1aLLjy3F66tQp8dZbbxUjIyPFhIQEceHChWJra6t0QSuIWtuOYOqunXI4HOKKFStEk8kk6vV6ceLEieKhQ4ekDVplBFEUxcCnmUREREQkF/LunEZEREREfscEkIiIiEhjmAASERERaQwTQCIiIiKNYQJIREREpDFMAImIiIg0hgkgERERkcYwASQiIiLSGCaARERERBrDBJCIiIhIY5gAEhEREWkME0AiIiIijWECSERERKQxTACJiIiINIYJIBEREZHGMAEkIiIi0hgmgEREREQawwSQiIiISGOYABIRERFpDBNAIiIiIo1hAkhERESkMUwAiYiIiDSGCSARERGRxjABJCIiItIYJoBEREREGsMEkIiIiEhjmAASERERaQwTQCIiIiKNYQJIREREpDFMAImIiIg0hgkgERERkcb8/0Z7v7jxjKEtAAAAAElFTkSuQmCC",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' width=640.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "1f00d6b046d449228a592b5ba2e109a4",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' width=640.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_lattice(square_lattice)\n",
    "plot_lattice(tilted_lattice)\n",
    "plot_lattice(honeycomb_lattice)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "ef0a5d74-739f-4688-ad7f-fed91c39dcaa",
   "metadata": {},
   "outputs": [],
   "source": [
    "simple_cubic = Lattice([1,0,0], [0,1,0], [0,0,1])\n",
    "graphite = Lattice([0.5,-0.5 * 3**(0.5),0], [0.5,0.5 * 3**(0.5),0], [0,0,1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "364f3ddb-21d0-4586-8b3b-acad8ba20d9b",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[6.28318531 0.         0.        ]\n",
      " [0.         6.28318531 0.        ]\n",
      " [0.         0.         6.28318531]]\n",
      "[[ 6.28318531 -3.62759873  0.        ]\n",
      " [ 6.28318531  3.62759873 -0.        ]\n",
      " [-0.          0.          6.28318531]]\n"
     ]
    },
    {
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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' 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       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "9a136d5a50f749dbb2e429adbd10f48e",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' width=640.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_lattice(simple_cubic);\n",
    "plot_lattice(graphite);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "c6512444-6c86-4e31-bc6a-2c8b1e00c28d",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "2dce1256-7afa-4e86-8aff-5db7b13b4d4d",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "conda",
   "language": "python",
   "name": "conda"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}