{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "516ee304",
   "metadata": {},
   "source": [
    "# Electronic band structure of graphene\n",
    "\n",
    "- by Börge Göbel"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "e2812d66",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "plt.rcParams[\"figure.figsize\"] = (10,5)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "016b298a",
   "metadata": {},
   "source": [
    "## 1. One-dimensional band structures"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7053041b",
   "metadata": {},
   "source": [
    "### 1.1 Free electrons: \n",
    "\n",
    "\\\\( E(k) = \\frac{p^2}{2m} = \\frac{\\hbar^2}{2m}k^2\\\\) is the solution of the \n",
    "\n",
    "stationary Schrödinger equation without any potential \\\\( -\\frac{\\hbar^2}{2m}\\phi''(x) = E\\phi(x). \\\\)\n",
    "\n",
    "The corresponding wave function is called a \"plane wave\" \\\\( \\phi(x) \\propto e^{ikx}.\\\\)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "804d63fb",
   "metadata": {},
   "source": [
    "### 1.2 Quasi-free electrons in a periodic crystal:"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "30e8b2ae",
   "metadata": {},
   "source": [
    "Lattice periodic potential \\\\( V(x)=V(x+na) \\\\) of the periodic atomic lattice modifies the \n",
    "\n",
    "stationary Schrödinger equation \\\\( -\\frac{\\hbar^2}{2m}\\phi''(x) = \\left[E-V(x)\\right]\\phi(x). \\\\)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "4b81b433",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x1c02bb4c670>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x_array = np.linspace(-3.5,3.5,201)\n",
    "\n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(1,1,1)\n",
    "ax.set_aspect(0.5)\n",
    "\n",
    "plt.xlabel('Position x [a]')\n",
    "plt.ylabel('Potential V')\n",
    "\n",
    "plt.plot(\n",
    "    x_array, -np.cos(x_array*2*np.pi)\n",
    ")\n",
    "\n",
    "plt.scatter(\n",
    "    np.linspace(-3,3,7), np.zeros(7)\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4e7ab5f0",
   "metadata": {},
   "source": [
    "The wave functions become periodic \"Bloch functions\" (in \\\\( x \\\\) and \\\\( k \\\\)) and the eigenenergies change. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "a8389cc4",
   "metadata": {},
   "outputs": [],
   "source": [
    "k_array = np.linspace(-4*np.pi,4*np.pi,101)\n",
    "E_array = 1/2 * k_array**2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "4fca1ca4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1c02bc93100>,\n",
       " <matplotlib.lines.Line2D at 0x1c02bc93130>,\n",
       " <matplotlib.lines.Line2D at 0x1c02bc93250>,\n",
       " <matplotlib.lines.Line2D at 0x1c02bc93370>,\n",
       " <matplotlib.lines.Line2D at 0x1c02bc93490>,\n",
       " <matplotlib.lines.Line2D at 0x1c02bc935b0>,\n",
       " <matplotlib.lines.Line2D at 0x1c02bc936d0>,\n",
       " <matplotlib.lines.Line2D at 0x1c02bc937f0>,\n",
       " <matplotlib.lines.Line2D at 0x1c02bc93910>,\n",
       " <matplotlib.lines.Line2D at 0x1c02bc93a30>,\n",
       " <matplotlib.lines.Line2D at 0x1c02bc93b50>,\n",
       " <matplotlib.lines.Line2D at 0x1c02bc93c70>,\n",
       " <matplotlib.lines.Line2D at 0x1c02bc93eb0>,\n",
       " <matplotlib.lines.Line2D at 0x1c02bc93d90>,\n",
       " <matplotlib.lines.Line2D at 0x1c02bc93ee0>]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.xlabel('Wave vector k [1/a]')\n",
    "plt.ylabel('Energy E')\n",
    "\n",
    "plt.xlim([-1.5*np.pi,1.5*np.pi])\n",
    "plt.ylim([0,65])\n",
    "\n",
    "plt.plot(\n",
    "    k_array, E_array, 'black',\n",
    "    k_array+2*np.pi, E_array, 'black',\n",
    "    k_array-2*np.pi, E_array, 'black',\n",
    "    k_array+4*np.pi, E_array, 'black',\n",
    "    k_array-4*np.pi, E_array, 'black',\n",
    "    k_array+6*np.pi, E_array, 'black',\n",
    "    k_array-6*np.pi, E_array, 'black',\n",
    "    k_array+8*np.pi, E_array, 'black',\n",
    "    k_array-8*np.pi, E_array, 'black',\n",
    "    \n",
    "    k_array, -np.cos(k_array)+1, 'red',\n",
    "    k_array, 4.5*np.cos(k_array)+11, 'red',\n",
    "    k_array, -8*np.cos(k_array)+31, 'red',\n",
    "    k_array, 11*np.cos(k_array)+60, 'red',\n",
    "    \n",
    "    [-np.pi,-np.pi],[0,65],'gray',\n",
    "    [np.pi,np.pi],[0,65],'gray'\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ebabf6a7",
   "metadata": {},
   "source": [
    "- As a main effect, band crossings split up\n",
    "- Still, periodicidy is conserved (periodicity is \\\\( k = \\frac{2\\pi}{a} \\\\) )"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6f78b5d7",
   "metadata": {},
   "source": [
    "## 2. Two-dimensional band structure of graphene"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d9622072",
   "metadata": {},
   "source": [
    "### 2.1 Plot a graphene lattice"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "dbe80786",
   "metadata": {},
   "outputs": [],
   "source": [
    "a0 = 1.418 # [a0] = A = 10^(-10) m\n",
    "latlength = np.sqrt(3.) * a0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "e5184c09",
   "metadata": {},
   "outputs": [],
   "source": [
    "# lattice vectors\n",
    "a1 = latlength * np.array([1.0, 0.0])\n",
    "a2 = latlength * np.array([-0.5, np.sqrt(3.)/2.])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "a87f6756",
   "metadata": {},
   "outputs": [],
   "source": [
    "nmax = 4\n",
    "coordsA = np.array([i * a1 + j * a2 for i in range(-nmax, nmax) for j in range(-nmax, nmax)])\n",
    "coordsB = np.array([i * a1 + j * a2 + [0., a0]for i in range(-nmax, nmax) for j in range(-nmax, nmax)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "04d3ec34",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x1c02bd26160>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlIAAAEvCAYAAACOiy/xAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/MnkTPAAAACXBIWXMAAAsTAAALEwEAmpwYAAAfZElEQVR4nO3df4xs513f8c937JNWk90hQb6BkPj2mm2iiqYrg29N2pIQGn64KapJ1VRB3W3+AN16Z0IDFbRBSEBb0aK0221FfyA3iYhEII0GRU3NiBBHFfBPTdaJ2dgxhp3UCcYB36jqdleLnDH99o+z23vv3p3ZM2fOmfk+c94vaTT3zj07z9tHo/GzZ86cx9xdAAAAmF5r0QEAAACpYiIFAABQEhMpAACAkphIAQAAlMRECgAAoCQmUgAAACXduYhB77rrLr9y5coihgYAAJjK448//hV3v3Tevy1kInXlyhXt7u4uYmgAAICpmNkXx/0bH+0BAACUxEQKAACgJCZSAAAAJTGRAgAAKKmSiZSZ/YiZPWVmT5rZL5vZn63ieQEAACKbeSJlZq+R9A8lXXX3N0i6Q9I7Z31eXGA4lLpdqdORWq38vtvNH6eJpmVoitpFE4CbuftMN0mvkfQHkr5W+eUUHpH03ZN+5r777nPMYDBwb7fds8xdunHLsvzxwYAmmtJuitpFE9BIknZ9zJzG8n+fjZm9R9LPSPoTSb/u7n/vnG2uSbomSZcvX77vi18ce0kGTDIcSuvr0vHx+G3abWlvT1pbo4mm9JqidtEENJaZPe7uV8/7tyo+2nulpAcl3SPpGyS93Mw2zm7n7g+7+1V3v3rp0rkXB0UR29vSaDR5m9FI2tmZT49EU1E0FRexiyYA55j5iJSZvUPSA+7+Ayd///uS3uju3XE/c/XqVefK5iV1OtLhYbHtDg7q7zkdi6ZiY9FUTMQumoDGqvWIlKQvSXqjmbXNzCS9VdLTFTwvznN0VO12VaCp2rGa3jTNeE3fVxGbgIaZeSLl7o9J6kv6jKTPnTznw7M+L8ZYWal2uyrQVO1YTW+aZrym76uITUDDVHIdKXf/KXf/C+7+BnffdPcXq3henGNjQ8qyydtkmbS5OZ8eiaaiaCouYhdNAM5Rybf2psU5UjOI+C0dmmhqQhdNQGPVfY4U5mltTer38zfHs7+JZln+eL8/3zdNmmhqQhdNAM4z7gJTdd64IGcF9vfdez33Tse91crve738cZpoWoamqF00AY2jui/IOS0+2gMAAKngoz0AAIAaMJECAAAoiYkUAABASUykAAAASmIiBQAAUBITKQAAgJKYSAEAAJTERAoAAKAkJlIAAAAlMZECAAAoiYlUooZDqduVOh2p1crvu938cZpoWoamqF00AbjFuEX46ryxaPFsBgP3dts9y9ylG7csyx8fDGiiKe2mqF00Ac0kFi1eHsOhtL4uHR+P36bdlvb2pLU1mmhKrylqF01Ac7Fo8RLZ3pZGo8nbjEbSzs58eiSaiqKpuIhdNAE4D0ekEtPpSIeHxbY7OKi/53QsmoqNRVMxEbtoApqLI1JL5Oio2u2qQFO1YzW9aZrxmr6vIjYBTcNEKjErK9VuVwWaqh2r6U3TjNf0fRWxCWiaSiZSZvYKM+ub2e+a2dNm9leqeF7cbmNDyrLJ22SZtLk5nx6JpqJoKi5iF00AzlPJOVJm9iFJv+Xu7zezl0lqu/v/Hrc950iVF/FbOjTR1IQumoDmqvUcKTPrSHqzpA9Ikrt/ddIkCrNZW5P6/fzN8exvolmWP97vz/dNkyaamtBFE4BzjbvAVNGbpHsl/bakX5D0WUnvl/TyST/DBTlnt7/v3uu5dzrurVZ+3+vlj9NE0zI0Re2iCWgeTbggZxUTqauSXpL0rSd//3eS/vk5212TtCtp9/Lly3P6T8eF9vfdt7bcV1fdzfL7ra3F/18hWlPULppoakoXsEB1T6S+XtKzN/39TZJ+ddLPcEQqiIhrS0RsitpFE01N6QIWbNJEqqqTzX9L0g+6+zNm9tMnH+392LjtOdk8gIhnqUZsitpFE01N6QICmMcFOX9I0ofNbE/5OVP/oqLnRV0iri0RsUmK2UVTMTQVF7ULCI4lYpoq4toSEZtOx4vWRVMxNBUXtQsIgCVicLuIa0tEbJpmvKbvK5qqHYvXOZAEJlJNFXFtiYhN04zX9H1FU7Vj8ToHksBEqqkiri0RsUmK2UVTMTQVF7ULCI5zpJoq4jd0IjZF7aKJpqZ0AQFwjhRuF3FtiYhNUbtooqkpXUB04y4wVeeNC3IGEnFtiYhNUbtooqkpXcACqe4Lck6Lj/YAAEAq+GgPAACgBkykAAAASmIiBQAAUBITKQAAgJKYSAEAAJTERAoAAKAkJlIAAAAlMZECAAAoiYkUAABASUykGm44lLpdqdORWq38vtvNH6cpfhdNNDWlCwhr3Noxdd5Yay+GwcC93XbPMnfpxi3L8scHA5oid9FEU1O6gEUTa+3hrOFQWl+Xjo/Hb9NuS3t781vsPWJT1C6aaGpKFxABa+3hNtvb0mg0eZvRSNrZmU+PFLNJitlFUzE0FRe1C4iOI1IN1elIh4fFtjs4qL/ndKxoTafjReuiqRiaiovaBUQwlyNSZnaHmX3WzB6p6jlRn6OjarerQsSmacZr+r6iqdqxeJ0Daajyo733SHq6wudDjVZWqt2uChGbphmv6fuKpmrH4nUOpKGSiZSZvVbS35T0/iqeD/Xb2JCybPI2WSZtbs6nR4rZJMXsoqkYmoqL2gVEV8k5UmbWl/QvJa1K+lF3/95J23OO1OJF/IZOxKaoXTTR1JQuIIJaz5Eys++V9IK7P37BdtfMbNfMdq9fvz7rsJjR2prU7+dvjGd/C82y/PF+f75vmBGbonbRRFNTuoDwxl1gquhN+ZGo5yQ9K+mPJB1L+sVJP8MFOePY33fv9dw7HfdWK7/v9fLHaYrfRRNNTekCFkkTLshZ6RXLJb1F0iMXbcdEaknt77tvbbmvrrqb5fdbW4v/vxVNaTZF7aIp3SagJCZSqF/EtSVoSrcpahdN6TYBM5g0keKCnJhdxLNUaUq3KWoXTek2ATNiiRjUK+LaEjQVE7FJitlFUzERm4AacUQKs4u4tgRNxURsOh0vWhdNxURsAmbEESnUK+LaEjRVOxbrldBUVMQmoEZMpDC7iGtL0FTtWKxXQlNREZuAGjGRwuwiri1BUzERm6SYXTQVE7EJqBHnSGF2Eb+lQ1O6TVG7aEq3CZgR50ihXhHXlqAp3aaoXTSl2wTUadwFpuq8cUHOJRVxbQma0m2K2kVTuk1ASeKCnAAAAOXw0R4AAEANmEgBAACUxEQKAACgJCZSAAAAJTGRAgAAKImJFAAAQElMpAAAAEpiIgUAAFASEykAAICSmEihMsOh1O1KnY7UauX33W7+OE00LUsXTek2AbUYt3ZMnTfW2ls+g4F7u+2eZe7SjVuW5Y8PBjTRlH4XTek2AbMQa+2hTsOhtL4uHR+P36bdlvb25rfgO03pNkXtoindJmBWta61Z2Z3m9l/N7OnzewpM3vPrM+JtGxvS6PR5G1GI2lnZz49Ek1FRWySYnbRVEzEJqBOMx+RMrNXS3q1u3/GzFYlPS7p+9z98+N+hiNSy6XTkQ4Pi213cFB/z+lYNBUbK1rT6XjRumgqJmITMKtaj0i5+5fd/TMnfz6U9LSk18z6vEjH0VG121WBpmrHmmfTNOM1fV/RBCxepd/aM7Mrkr5Z0mNVPi9iW1mpdrsq0FTtWPNsmma8pu8rmoDFq2wiZWYrkn5F0g+7+/8559+vmdmume1ev369qmERwMaGlGWTt8kyaXNzPj0STUVFbJJidtFUTMQmoE6VfGvPzDJJj0j6hLv/m4u25xyp5RLxWzo0pdsUtYumdJuAWdX9rT2T9AFJTxeZRGH5rK1J/X7+5nj2N9Esyx/v9+f7pklTuk1Ru2hKtwmo1bgLTBW9Sfo2SS5pT9ITJ7e3TfoZLsi5nPb33Xs9907HvdXK73u9/HGaaFqWLprSbQLK0oQLcnJlc8Szv+++teW+uupult9vbS3+HThiF000NaErYhMahYkU0hF1bYmIXTTR1ISuiE1onEkTKZaIQRxRz1KN2EUTTU3oitiERqr1ZHOgMlHXlojYRVMxNBUXsStiE3AGR6QQR9S1JSJ20VQMTcVF7IrYhEbiiBTSEHVtiYhdNFU7VtObphmPfQXcgokU4oi6tkTELpqqHavpTdOMx74CbsFECnFEXVsiYhdNxdBUXMSuiE3AGZwjhTiifkMnYhdNNDWhK2ITGolzpJCGqGtLROyiiaYmdEVsAs4ad4GpOm9ckBMTRV1bImIXTTQ1oStiExpFXJATAACgHD7aAwAAqAETKQAAgJKYSAEAAJTERAoAAKAkJlIAAAAlMZECAAAoiYkUAABASUykAAAASmIiBQAAUBITKQAAgJKYSCGc4VDqdqVOR2q18vtuN3+cLppoal5XxCbg/xu3CN80N0kPSHpG0r6k9160PYsWY5zBwL3dds8yd+nGLcvyxwcDumiiqUldEZvQPKpz0WIzu0PS70n6LknPSfq0pO9398+P+xkWLcZ5hkNpfV06Ph6/Tbst7e1Ja2vN7qKJpiZ0RWxCM9W9aPH9kvbd/Qvu/lVJH5H0YAXPi4bZ3pZGo8nbjEbSzs58ek5F7KKpGJqKi9gVsQk4q4ojUn9H0gPu/oMnf9+U9K3u/u5xP8MRKZyn05EOD4ttd3BQf8/N40XroqkYmoqL2BWxCc1U9xEpO+ex22ZnZnbNzHbNbPf69esVDItlc3RU7XZVidhFU7VjNb1pmvHYV8CtqphIPSfp7pv+/lpJz5/dyN0fdver7n710qVLFQyLZbOyUu12VYnYRVO1YzW9aZrx2FfAraqYSH1a0uvM7B4ze5mkd0r6eAXPi4bZ2JCybPI2WSZtbs6n51TELpqKoam4iF0Rm4CzZj5HSpLM7G2S/q2kOyR90N1/ZtL2nCOF80T9hk7ELppoakJXxCY0U93nSMndB+7+endfu2gSBYyztib1+/kb49nfQrMsf7zfn/8bZsQummhqQlfEJuA24y4wVeeNC3Jikv19917PvdNxb7Xy+14vf7zUk21tua+uupvl91tbpZ6ssi6a5t5F0wK6IjZV3IXm0IQLcjKRwvKKeElkmtLuoindpshdCG/SRKqSc6SmxTlSqF3EkytoSruLpnSbInchCbWfIwWEE/GSyDQVF7GLpmIiNklxu5A8jkhhOUW8JDJNxUXsoqmYiE2n40XsQhI4IoXmiXhJZJqKi9hFU7Vj8ZrCkmAiheUU8ZLINBUXsYumasfiNYUlwUQKyyniJZFpKi5iF03FRGyS4nYheZwjheUU8Rs6NKXdRVO6TZG7kATOkULzRLwkMk1pd9GUblPkLqRv3AWm6rxxQU7MTaWXRKaJLpqSborchdDEBTkBAADK4aM9AACAGjCRAgAAKImJFAAAQElMpAAAAEpiIgUAAFASEykAAICSmEgBAACUxEQKAACgJCZSAAAAJc00kTKzf2Vmv2tme2b2MTN7RUVdAAAA4c16ROqTkt7g7uuSfk/Sj8+eBFRnOJS6XanTkVqt/L7bzR+nKXZT1C6a0m2K3IWEjVuEb9qbpLdL+nCRbVm0GPMwGLi32+5Z5i7duGVZ/vhgQFPUpqhdNKXbFLkL8Wkeixab2X+T9F/c/Rcv2pZFi1G34VBaX5eOj8dv025Le3vS2hpNkZqidtGUblPkLqRhpkWLzexRM3vynNuDN23zE5JekvThCc9zzcx2zWz3+vXrZf47gMK2t6XRaPI2o5G0szOfHommaUTsoqmYiE1S3C6kb+YjUmb2LkkPSXqru0+Y69/AESnUrdORDg+LbXdwUH/P6Vg0FROxi6ZiIjadjhexC2mYdETqzhmf+AFJ/0TStxedRAHzcHRU7XZVoKm4iF00VTsWryksi1m/tffvJa1K+qSZPWFmP19BEzCzlZVqt6sCTcVF7KKp2rF4TWFZzDSRcvc/7+53u/u9J7eHqgoDZrGxIWXZ5G2yTNrcnE+PRNM0InbRVEzEJiluF9JX2bf2psE5UqhbxG/o0JR2F03pNkXuQhpm+tYekKK1Nanfz98Yz/4WmmX54/3+fN8waUq7i6Z0myJ3YQmMu8BUnTcuyIl52d937/XcOx33Viu/7/Xyx2mK3RS1i6Z0myJ3ITZNuCAnEymgqP19960t99VVd7P8fmtr8f+3oommZe+iCQvGRAqYVcS1JWiiqQldNCGASRMpTjYHLhLxLFWaaGpCF00IgpPNgVlEXFuCpmJoKi5iF01IAEekgItEXFuCpmJoKi5iF00IgiNSwCwiri1BU7VjNb1pmvGavq8iNmGhmEgBF4m4tgRN1Y7V9KZpxmv6vorYhIViIgVcJOLaEjQVQ1NxEbtoQgI4Rwq4SMRv6dBEUxO6aEIQnCMFzCLi2hI00dSELpqQgnEXmKrzxgU5kaSIa0vQRFMTumjCgokLcgIAAJTDR3sAAAA1YCIFAABQEhMpAACAkphIAQAAlMRECgAAoCQmUgAAACVVMpEysx81Mzezu6p4PgAAgBTMPJEys7slfZekL82eAwAAkI4qjkjtSPrHkuZ/ZU8AAIAFmmkiZWZ/S9IfuvvvVNQDhDUcSt2u1OlIrVZ+3+3mj9NE0zI0Re2iCaGNWzvm9CbpUUlPnnN7UNJjkr7mZLtnJd014XmuSdqVtHv58uW5rY8DVGEwcG+33bPMXbpxy7L88cGAJprSboraRRMiUB1r7ZnZX5L0KUnHJw+9VtLzku539z+a9LOstYeUDIfS+rp0fDx+m3Zb2tub34LvNNHUhC6aEEUta+25++fc/VXufsXdr0h6TtK3XDSJAlKzvS2NRpO3GY2knZ359Eg0FUVTcRG7aEIKSh+Ruu2JzJ6VdNXdv3LRthyRQko6HenwsNh2Bwf195yORVOxsWgqJmIXTYhi0hGpO6sa5OSoFLB0jo6q3a4KNFU7VtObphmv6fsqYhMWiyubAxdYWal2uyrQVO1YTW+aZrym76uITVgsJlLABTY2pCybvE2WSZub8+mRaCqKpuIidtGEFFR2jtQ0OEcKKYn4LR2aaGpCF02IopZv7QFNsbYm9fv5m+PZ30SzLH+835/vmyZNNDWhiyYkYdwFpuq83XfffZVfLAuo2/6+e6/n3um4t1r5fa+XP04TTcvQFLWLJiyaJlyQk4kUMG/7++5bW+6rq+5m+f3W1uL/rxCtKWoXTek2Re2K2IRbMJECooi4tkTEpqhdNKXbFLUrYhNuM2kixcnmwLxEPEs1YlPULprSbYraFbEJ5+JkcyCCiGtLRGySYnbRVEzEJilmV8QmTI0jUsC8RFxbImLT6XjRumgqJmLT6XjRuiI24VwckQIiiLi2RMSmacZr+r6iqbiIXRGbMDUmUsC8RFxbImLTNOM1fV/RVFzErohNmBoTKWBeIq4tEbFJitlFUzERm6SYXRGbMDXOkQLmJeI3dCI2Re2iKd2mqF0Rm3AuzpECIoi4tkTEpqhdNKXbFLUrYhOmN+4CU3XeuCAnGi3i2hIRm6J20ZRuU9SuiE24hbggJwAAQDl8tAcAAFADJlIAAAAlMZECAAAoiYkUAABASUykAAAASpp5ImVmP2Rmz5jZU2b2viqiAAAAUnDnLD9sZt8h6UFJ6+7+opm9qposAACA+GY9IrUl6Wfd/UVJcvcXZk8CAABIw6wTqddLepOZPWZmv2Fmf3nchmZ2zcx2zWz3+vXrMw4LAACweBdOpMzsUTN78pzbg8o/GnylpDdK+jFJHzUzO+953P1hd7/q7lcvXbpU6X8EkJLhUOp2pU5HarXy+243f5ym+F00pdsUtStiE6Ywbu2YIjdJvybpLTf9fSjp0kU/x1p7aKrBwL3dds8yd+nGLcvyxwcDmiJ30ZRuU9SuiE24nepaa8/MHpL0De7+k2b2ekmfknTZL3hS1tpDEw2H0vq6dHw8fpt2W9rbm99i7xGbonbRlG5T1K6ITThfnWvtfVDSN5rZk5I+IuldF02igKba3pZGo8nbjEbSzs58eqSYTVLMLpqKidgkxeyK2ITpzXREqiyOSKGJOh3p8LDYdgcH9fecjhWt6XS8aF00FROx6XS8aF0Rm3C+Oo9IASjo6Kja7aoQsWma8Zq+r2gqLmJXxCZMj4kUMCcrK9VuV4WITdOM1/R9RVNxEbsiNmF6TKSAOdnYkLJs8jZZJm1uzqdHitkkxeyiqZiITVLMrohNmB7nSAFzEvEbOhGbonbRlG5T1K6ITTgf50gBAaytSf1+/sZ49rfQLMsf7/fn+4YZsSlqF03pNkXtitiEEsZdYKrOGxfkRJPt77v3eu6djnurld/3evnjNMXvoindpqhdEZtwK024ICcTKSBl+/vuW1vuq6vuZvn91tbi/69AU5pNUbtoSrdpSTCRApZRxLUlaEq3KWoXTek2LZFJEylONgdSFPEsVZrSbYraRVO6TUuGk82BZRNxbQmaionYJMXsoqmYiE0NwhEpIEUR15agqZiITafjReuiqZiITUuGI1LAsom4tgRN1Y7FGio0FRWxqUGYSAEpiri2BE3VjsUaKjQVFbGpQZhIASmKuLYETcVEbJJidtFUTMSmBuEcKSBFEb+lQ1O6TVG7aEq3aclwjhSwbCKuLUFTuk1Ru2hKt6lJxl1gqs4bF+QEKhJxbQma0m2K2kVTuk1LQlyQEwAAoBw+2gMAAKgBEykAAICSmEgBAACUNNNEyszuNbP/YWZPmNmumd1fVRgAAEB0sx6Rep+kf+ru90r6yZO/AwAANMKsEymX1Dn589dIen7G5wMAAEjGnTP+/A9L+oSZ/Wvlk7K/OnMRAABAIi6cSJnZo5K+/px/+glJb5X0I+7+K2b2dyV9QNJ3jnmea5KuSdLly5dLBwMAAEQx0wU5zexA0ivc3c3MJB24e+ein+OCnAAAIBV1XpDzeUnffvLnvy7p92d8PgBTGA6lblfqdKRWK7/vdvPHaaJpWbpoSrepEcatHVPkJunbJD0u6XckPSbpviI/x1p7wOwGA/d22z3L3KUbtyzLHx8MaKIp/S6a0m1aJmKtPWC5DIfS+rp0fDx+m3Zb2tub34LvNKXbFLWLpnSblg1r7QFLZntbGo0mbzMaSTs78+mRaCoqYpMUs4umYiI2NQlHpIAEdTrS4WGx7Q4O6u85HYumYmNFazodL1oXTcVEbFo2HJEClszRUbXbVYGmaseaZ9M04zV9X9GEs5hIAQlaWal2uyrQVO1Y82yaZrym7yuacBYTKSBBGxtSlk3eJsukzc359Eg0FRWxSYrZRVMxEZuahHOkgARF/JYOTek2Re2iKd2mZcM5UsCSWVuT+v38zfHsb6JZlj/e78/3TZOmdJuidtGUblOjjLvAVJ03LsgJVGN/373Xc+903Fut/L7Xyx+niaZl6aIp3aZlIS7ICQAAUA4f7QEAANSAiRQAAEBJTKQAAABKYiIFAABQEhMpAACAkphIAQAAlLSQyx+Y2XVJX5z7wIt1l6SvLDoiIeyv4thX02F/TYf9NR3213RS2V9/zt0vnfcPC5lINZGZ7Y67BgVux/4qjn01HfbXdNhf02F/TWcZ9hcf7QEAAJTERAoAAKAkJlLz8/CiAxLD/iqOfTUd9td02F/TYX9NJ/n9xTlSAAAAJXFECgAAoCQmUjUzs3eY2VNm9n/N7OpNj18xsz8xsydObj+/yM4Ixu2rk3/7cTPbN7NnzOx7FtUYlZn9tJn94U2vp7ctuikiM3vg5DW0b2bvXXRPdGb2rJl97uQ1tbvonmjM7INm9oKZPXnTY19rZp80s98/uX/lIhujGLOvluJ9i4lU/Z6U9Lcl/eY5/zZ093tPbg/NuSuic/eVmX2TpHdK+ouSHpD0H83sjvnnhbdz0+tpsOiYaE5eM/9B0t+Q9E2Svv/ktYXJvuPkNZX0V9Rr8gvK35Nu9l5Jn3L310n61Mnfcf6+kpbgfYuJVM3c/Wl3f2bRHSmYsK8elPQRd3/R3f+npH1J98+3Dkvgfkn77v4Fd/+qpI8of20Bpbj7b0r6X2ceflDSh07+/CFJ3zfPpqjG7KulwERqse4xs8+a2W+Y2ZsWHRPYayT9wU1/f+7kMdzq3Wa2d3IInY8TbsfraHou6dfN7HEzu7bomER8nbt/WZJO7l+14J7okn/fYiJVATN71MyePOc26bfdL0u67O7fLOkfSfolM+vMp3hxSu4rO+exxn3d9IJ9958krUm6V/lra3uRrUHxOpreX3P3b1H+cWjPzN686CAslaV437pz0QHLwN2/s8TPvCjpxZM/P25mQ0mvl7TUJ3SW2VfKjxzcfdPfXyvp+WqK0lF035nZf5b0SM05KeJ1NCV3f/7k/gUz+5jyj0fPO98TN/yxmb3a3b9sZq+W9MKig6Jy9z8+/XPK71sckVoQM7t0esK0mX2jpNdJ+sJiq8L6uKR3mtmfMbN7lO+r315wUygnb9in3q78xH3c6tOSXmdm95jZy5R/geHjC24Ky8xebmarp3+W9N3idVXExyW96+TP75L0XxfYEtqyvG9xRKpmZvZ2ST8n6ZKkXzWzJ9z9eyS9WdI/M7OXJP2ppIfcfSlPxCtq3L5y96fM7KOSPi/pJUk9d//TRbYG9D4zu1f5R1XPSvoHC60JyN1fMrN3S/qEpDskfdDdn1pwVmRfJ+ljZibl/6/4JXf/tcUmxWJmvyzpLZLuMrPnJP2UpJ+V9FEz+wFJX5L0jsUVxjFmX71lGd63uLI5AABASXy0BwAAUBITKQAAgJKYSAEAAJTERAoAAKAkJlIAAAAlMZECAAAoiYkUAABASUykAAAASvp/HpWxfdqLo0YAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.axes().set_aspect('equal','datalim')\n",
    "\n",
    "x1, y1 = coordsA.T\n",
    "x2, y2 = coordsB.T\n",
    "plt.scatter(x1, y1, 100, 'blue')\n",
    "plt.scatter(x2, y2, 100, 'red')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e139ff95",
   "metadata": {},
   "source": [
    "### 2.2 Tight-binding description of the band structure"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "57f4a60d",
   "metadata": {},
   "outputs": [],
   "source": [
    "k_points = 301\n",
    "kx_list = np.linspace(-np.pi/a0,np.pi/a0,k_points)\n",
    "ky_list = kx_list\n",
    "energy_list = []\n",
    "\n",
    "for kx in kx_list:\n",
    "    for ky in ky_list:\n",
    "        # Hamilton matrix for k = [kx,ky]\n",
    "        ham = np.array([\n",
    "            [0,np.exp(1j*np.dot([kx,ky],[0,a0]))+np.exp(1j*np.dot([kx,ky],[a0*np.sqrt(3)/2,-a0/2]))+np.exp(1j*np.dot([kx,ky],[-a0*np.sqrt(3)/2,-a0/2]))],\n",
    "            [np.exp(1j*np.dot([kx,ky],[0,-a0]))+np.exp(1j*np.dot([kx,ky],[-a0*np.sqrt(3)/2,a0/2]))+np.exp(1j*np.dot([kx,ky],[a0*np.sqrt(3)/2,a0/2])),0]\n",
    "        ])\n",
    "        # energies are the eigenvalues\n",
    "        energy_list.append(np.linalg.eigvalsh(ham))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "4d6cdb92",
   "metadata": {},
   "outputs": [],
   "source": [
    "kx_list, ky_list = np.meshgrid(kx_list, ky_list) \n",
    "energy_list = np.array(energy_list)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "02522b44",
   "metadata": {},
   "outputs": [],
   "source": [
    "energy_list = np.reshape(energy_list, (k_points, k_points, 2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "77e073ed",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot3D = plt.axes(projection = '3d')\n",
    "\n",
    "plot3D.set_xlabel('kx [1/a]')\n",
    "plot3D.set_ylabel('ky [1/a]')\n",
    "plot3D.set_zlabel('Energy')\n",
    "plot3D.view_init(10,15)\n",
    "plot3D.plot_surface(kx_list, ky_list, energy_list[:,:,0], cmap='winter', linewidth = 1, antialiased = True, rstride = 1, cstride = 1)\n",
    "plot3D.plot_surface(kx_list, ky_list, energy_list[:,:,1], cmap='autumn', linewidth = 1, antialiased = True, rstride = 1, cstride = 1)\n",
    "\n",
    "plt.savefig('bandstructure_graphene.png', dpi = 300)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4737cf89",
   "metadata": {},
   "source": [
    "### 2.3 Cut through the Dirac points (linear band crossings)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c29ed2c9",
   "metadata": {},
   "source": [
    "Classical electrons: \\\\( E(k) = \\frac{p^2}{2m} = \\frac{\\hbar^2}{2m}k^2\\\\)\n",
    "\n",
    "Relativistic electrons: \\\\( E(k) = \\pm\\sqrt{p^2c^2+m_0^2c^4}\\\\)\n",
    "\n",
    "Massless relativistic electrons: \\\\( E(k) = \\pm pc\\\\)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "96893212",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1c03ffe57c0>]"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.xlabel('ky [1/a]')\n",
    "plt.ylabel('Energy')\n",
    "plt.plot(ky_list[:,k_points//2+1],energy_list[:,k_points//2+1,0])\n",
    "plt.plot(ky_list[:,k_points//2+1],energy_list[:,k_points//2+1,1])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "401aa290",
   "metadata": {},
   "source": [
    "- 2010: Nobel Prize Physics: Andre Geim and Konstantin Novoselov \"for groundbreaking experiments regarding the two-dimensional material graphene\""
   ]
  },
  {
   "cell_type": "markdown",
   "id": "21ae9d8b",
   "metadata": {},
   "source": [
    "## 3. Nanoribbons of graphene"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "aef01885",
   "metadata": {},
   "source": [
    "### 3.1 Construct the lattice"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "15fc391f",
   "metadata": {},
   "outputs": [],
   "source": [
    "coordsA = np.array([i * latlength * np.array([0,np.sqrt(3)]) for i in range(-nmax,nmax)])\n",
    "coordsB = np.array([i * latlength * np.array([0,np.sqrt(3)]) + np.array([0,a0]) for i in range(-nmax,nmax)])\n",
    "coordsC = np.array([i * latlength * np.array([0,np.sqrt(3)]) + latlength * np.array([1/2, np.sqrt(3)/2]) for i in range(-nmax,nmax)])\n",
    "coordsD = np.array([i * latlength * np.array([0,np.sqrt(3)]) + np.array([0,a0]) + latlength * np.array([1/2, -np.sqrt(3)/2]) for i in range(-nmax,nmax)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "06a4820a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x1c03f9d1520>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.axes().set_aspect('equal','datalim')\n",
    "\n",
    "x1, y1 = coordsA.T\n",
    "x2, y2 = coordsB.T\n",
    "x3, y3 = coordsC.T\n",
    "x4, y4 = coordsD.T\n",
    "\n",
    "plt.scatter(x1, y1, 30, 'blue')\n",
    "plt.scatter(x2, y2, 30, 'red')\n",
    "plt.scatter(x3, y3, 30, 'green')\n",
    "plt.scatter(x4, y4, 30, 'purple')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "e9225a19",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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O7ty4o93JrqblVI2ioYXFBd3euq1ry9fO7InpOqvHc3w5NlV9fDk2VX18OTYxvvjjy7EptqtqnHQndyZYmXK3e1f3n7uvaTnd39coGlr5wIpuPXsriYsmfxdN/i6a/F05NsV00VRdTppgsQYrU8ab40MnqyRNy6nGg3EyF03+Lpr8XTT5u3JsiumiqZ4wwcqU5mpTjeLwX0+jaKjZaiZz0eTvosnfRZO/K8emmC6a6gkTrExp99paWFzYP2n3rmm3e+1kLpr8XTT5u2jyd+XYFNNFUz1hDVbG7Ix2tNHf0HgwVrPVVLvXvvCCwVgumvxdNPm7aPJ35dgU00VTNWGROwAAAEBkWOQOAAAA4AgTLAAAAIDIMMECAAAAiAwTrIwZ7YzUvdtV6/mWune7Gu2Mkrto8nfR5O+iyd+VY1NMF031g0XumTLaGenGnRua7E5UTksVjUKLC4vaur2l5WvLpwsuwUUT48u1qerjy7GJ8V3t8eXYdBVhkfsVpL/R3z9ZJamclprsTtTf6Cdz0eTvosnfRZO/K8emmC6a6gkTrEzZHG/un6x7lNNSg/EgmYsmfxdN/i6a/F05NsV00VRPmGBlympzVUWjOLSvaBRqNVvJXDT5u2jyd9Hk78qxKaaLpnrCBCsVo5HU7Uqt1uzr6PCCwF67p8WFxf2Tdu+adq/dO5cnpuvMHsfx5dhU9fHl2FT18eXYxPhq0hTbVSfMLJttZWXFasFwaLa0ZFYUZtLs69LSbP/Bl20PrbPesdZayzrrHRtuDy/kiek61ZNgfDk2VX18OTZVfXw5NjG+ijfFdlUQSffsmDlN8knVwa02E6xO58HJurcVxWx/Ck+uLpr8XTT5u2jyd9GUxlVBTppgcYkwBZubUnl4QaDKUhqcc0FgLE+uLpr8XTT5u2jyd9GUxlUzmGClYHVVKg4vCFRRzK5vp/Dk6qLJ30WTv4smfxdNaVx147hfbaXYanOJ8BzX2l08ubpo8nfR5O+iyd9FUxpXBRFrsDJkOJxdw261Zl8verLG8uTqosnfRZO/iyZ/F01pXBXjpAkWH5UDAAAAcAH4qBwAAAAAR5hgAQAAAETm0idYIYSnQwgvhRBeDiF88LJ/HgAAAEBqLnWCFUJ4TNJPSvpeSW+X9P0hhLdf5s+8KpzhExFcPbm6aPJ30eTvosnfRVMaV604bvV7jE3SX5D0Kwcef0jSh457fV3eRci7emnK1UWTv4smfxdNaVxVRAnv5N6UdHCu+8p8X63p96XJ5MHNccty9rjfT+PJ1UWTv4smfxdN/i6a0rjqxmVPsMIR+w7dFyKE8EwI4V4I4d5rr712yTl5wCcr0JSriyZ/F03+LprSuOrGZU+wXpG0fODxWyR96eALzGzNzG6a2c3r169fck4e8MkKNOXqosnfRZO/i6Y0rtpx3LXDGJukN0j6XUlvlbQgaUvSdx73etZgpfHk6qLJ30WTv4smfxdNaVxVRCnv5B5CuCXpJyQ9JuljZvbR415bpzu5j0aza9iDwexfAr2etLx8+DU7ox1t9Dc03hyrudpUu9fWteVr5/bEdJ3F4z2+HJuqPr4cm6o+vhybGF/1m2K7qsZJd3Lno3IyZWe0ozs37mh3sqtpOVWjaGhhcUG3t26f+6SN5aKJ8eXaVPXx5djE+K72+HJsuorwUTlXkI3+xv7JKknTcqrdya42+hvJXDT5u2jyd9Hk78qxKaaLpnrCBCtTxpvj/ZN1j2k51XgwTuaiyd9Fk7+LJn9Xjk0xXTTVEyZYmdJcbapRHP7raRQNNVvnv41YLBdN/i6a/F00+btybIrpoqmeMMHKlHavrYXFhf2Tdu+adrvXTuaiyd9Fk7+LJn9Xjk0xXTTVExa5Z8z+uzIGYzVbj/aujFgumvxdNPm7aPJ35dgU00VTNeFdhAAAAACR4V2EAAAAAI4wwQIAAACIDBOsjBntjNS921Xr+Za6d7sa7YySu2jyd9Hk76LJ35VjU0wXTfWDNViZMtoZ6cadG5rsTlROSxWNQosLi9q6vaXla0d8doKDiybGl2tT1ceXYxPju9rjy7HpKsIarCtIf6O/f7JKUjktNdmdqL/RT+aiyd9Fk7+LJn9Xjk0xXTTVEyZYmbI53tw/Wfcop6UG40EyF03+Lpr8XTT5u3JsiumiqZ4wwcqU1eaqikZxaF/RKNRqtpK5aPJ30eTvosnflWNTTBdN9YQ1WJmS4/Vxmhhfrk1VH1+OTYzvao8vx6aryElrsGRm2WwrKytWG4ZDs07H7KmnZl+Hw9e/ZHtonfWOtdZa1lnv2HD79a85iyem60we5/Hl2FT18eXYVPXx5djE+GrQFNtVMSTds2PmNMknVQe32kywhkOzpSWzopj9FRTF7PEx/zFduidXF03+Lpr8XTT5u2hK46ogJ02wWIOVgn5fmkykcr4osCxnj/vnfMdFLE+uLpr8XTT5u2jyd9GUxlUzmGClYHPzwcm6R1lKg3O+4yKWJ1cXTf4umvxdNPm7aErjqhlMsFKwuioVh99xoaKQWud8x0UsT64umvxdNPm7aPJ30ZTGVTeOu3aYYmMNFtfsaWJ8V6IpposmfxdNaVwVRCxyz5C9d2W0Wie+W8TNk6uLJn8XTf4umvxdNKVxVYyTJljcBwsAAADgAvBZhAAAAACOMMECAAAAiAwTrESMRlK3O3sjRrc7e5zSk6uLJn8XTf4umvxdNKVx1YrjFmel2OqyyJ03ndCUq4smfxdN/i6a0riqiLiTe15w41+acnXR5O+iyd9FUxpX3WCClQBu/EtTri6a/F00+btoSuOqG0ywEsCNf2nK1UWTv4smfxdNaVy147hrh4+6SfqIpLGkF+bbrdP+DGuw0nhyddHk76LJ30WTv4umNK4qohQ3Gg0hfETSxMx+7Kx/pk43Gh2NZtewB4PZvwR6PWl5+fBrdkY72uhvaLw5VnO1qXavrWvL187tiek6i8d7fDk2VX18OTZVfXw5NjG+6jfFdlWNk240ygQrU3ZGO7pz4452J7uallM1ioYWFhd0e+v2uU/aWC6aGF+uTVUfX45NjO9qjy/HpqtIyju5d0IInw8hfCyEsHTJP6tSbPQ39k9WSZqWU+1OdrXR30jmosnfRZO/iyZ/V45NMV001ZNHmmCFED4bQnjxiO09kn5K0rdKeqekVyX9+DGOZ0II90II91577bVHyakU483x/sm6x7ScajwYJ3PR5O+iyd9Fk78rx6aYLprqySNNsMzsXWb2jiO2T5nZl83s62Y2lfS8pCPfc2Bma2Z208xuXr9+/VFyKkVztalGcfivp1E01Gw1k7lo8nfR5O+iyd+VY1NMF0315NIuEYYQHj/w8L2SXrysn1VF2r22FhYX9k/avWva7V47mYsmfxdN/i6a/F05NsV00VRPLnOR+89qdnnQJP2+pA+Y2asn/RkWuR9m/10Zg7GarUd7V0YsF03+Lpr8XTT5u3JsiumiqZokeRfhRWCCBQAAAFeFlO8iBAAAAKgdTLAAAAAAIsMECwAAACAyTLAyZrQzUvduV63nW+re7Wq0M0ruosnfRZO/iyZ/V45NMV001Q8WuWfKaGekG3duaLI7UTktVTQKLS4sauv2lpavHfHhVA4umhhfrk1VH1+OTYzvao8vx6arCIvcryD9jf7+ySpJ5bTUZHei/kY/mYsmfxdN/i6a/F05NsV00VRPmGBlyuZ4c/9k3aOclhqMB8lcNPm7aPJ30eTvyrEppoumesIEK1NWm6sqGsWhfUWjUKt55CcOubho8nfR5O+iyd+VY1NMF031hAlWKkYjqduVWq3Z19HhBYG9dk+LC4v7J+3eNe1eu3cuT0zXmT2O48uxqerjy7Gp6uPLsYnx1aQptqtOmFk228rKitWC4dBsacmsKMyk2delpdn+gy/bHlpnvWOttZZ11js23B5eyBPTdaonwfhybKr6+HJsqvr4cmxifBVviu2qIJLu2TFzmuSTqoNbbSZYnc6Dk3VvK4rZ/hSeXF00+bto8nfR5O+iKY2rgpw0weISYQo2N6Xy8IJAlaU0OOeCwFieXF00+bto8nfR5O+iKY2rZjDBSsHqqlQcXhCoophd307hydVFk7+LJn8XTf4umtK46sZxv9pKsdXmEuE5rrW7eHJ10eTvosnfRZO/i6Y0rgoi1mBlyHA4u4bdas2+XvRkjeXJ1UWTv4smfxdN/i6a0rgqxkkTLD4qBwAAAOAC8FE5AAAAAI4wwQIAAACIDBMsAAAAgMgwwUrEGT4RwdWTq4smfxdN/i6a/F00pXHViuNWv6fY6vIuQt7VS1OuLpr8XTT5u2hK46oi4k7uedHvS5PJg5vjluXscb+fxpOriyZ/F03+Lpr8XTSlcdUNJlgJ4JMVaMrVRZO/iyZ/F01pXHWDCVYC+GQFmnJ10eTvosnfRVMaV+047tphio01WIdftz3ctvXOuq09tWbrnXXbHm5fyBPTdZonxfhybKr6+HJsqvr4cmxifNVuiu2qIuJO7vkxGs2uYQ8Gs38J9HrS8vKD53dGO7pz4452J7uallM1ioYWFhd0e+u2ri1fO7MnpuusHs/x5dhU9fHl2FT18eXYxPjijy/HptiuqnHSndyZYGXK3e5d3X/uvqbldH9fo2ho5QMruvXsrSQumvxdNPm7aPJ35dgU00VTdeGjcq4g483xoZNVkqblVOPBOJmLJn8XTf4umvxdOTbFdNFUT5hgZUpztalGcfivp1E01Gw1k7lo8nfR5O+iyd+VY1NMF0315JEmWCGE94UQvhBCmIYQbj703IdCCC+HEF4KIbz70TLrR7vX1sLiwv5Ju3dNu91rJ3PR5O+iyd9Fk78rx6aYLprqySOtwQohfIekqaTnJP2Imd2b73+7pI9Lakn6FkmflfRtZvb1k3yswTrMzmhHG/0NjQdjNVtNtXvtCy8YjOWiyd9Fk7+LJn9Xjk0xXTRVk0tf5B5C+DUdnmB9SJLM7F/OH/+KpI+Y2X89ycMECwAAAK4KKRa5NyUd/DjIV+b7AAAAACrPG057QQjhs5L+7BFPfdjMPnXcHzti35G/KgshPCPpGUl64oknTssBAAAAyJ5TJ1hm9q4LeF+RdPD2aG+R9KVj/GuS1qTZJcIL/CwAAACArLisS4SflvT+EMIbQwhvlfQ2SXw05DkZ7YzUvdtV6/mWune7Gu2MTv9Dl+yiyd9Fk7+LJn9Xjk0xXTTVj0d9F+F7JT0r6bqkbUkvmNm75899WNIPSvqapB82s18+zcci9weMdka6ceeGJrsTldNSRaPQ4sKitm5vafna8umCS3DRxPhybar6+HJsYnxXe3w5Nl1FLm2Ru5l90szeYmZvNLNv3ptczZ/7qJl9q5l9+1kmV3CY/kZ//2SVpHJaarI7UX+jn8xFk7+LJn8XTf6uHJtiumiqJ9zJPVM2x5v7J+se5bTUYHz+K62xXDT5u2jyd9Hk78qxKaaLpnrCBCtTVpurKhrFoX1Fo1Cr2UrmosnfRZO/iyZ/V45NMV001RMmWKkYjaRuV2q1Zl9HhxcE9to9LS4s7p+0e9e0e+3euTwxXWf2OI4vx6aqjy/HpqqPL8cmxleTptiuOmFm2WwrKytWC4ZDs6Uls6Iwk2Zfl5Zm+w++bHtonfWOtdZa1lnv2HB7eCFPTNepngTjy7Gp6uPLsanq48uxifFVvCm2q4JIumfHzGmST6oObrWZYHU6D07Wva0oZvtTeHJ10eTvosnfRZO/i6Y0rgpy0gSLS4Qp2NyUysMLAlWW0uCcCwJjeXJ10eTvosnfRZO/i6Y0rprBBCsFq6tScXhBoIpidn07hSdXF03+Lpr8XTT5u2hK46obx/1qK8VWm0uE57jW7uLJ1UWTv4smfxdN/i6a0rgqiFiDlSHD4ewadqs1+3rRkzWWJ1cXTf4umvxdNPm7aErjqhgnTbAe6aNyYsNH5QAAAMBV4dI+KgcAAAAAXg8TLAAAAIDIMMECAAAAiAwTrESc4RMRXD25umjyd9Hk76LJ30VTGletOG71e4qtLu8i5F29NOXqosnfRZO/i6Y0rioi7uSeF/2+NJk8uDluWc4e9/tpPLm6aPJ30eTvosnfRVMaV91ggpUAPlmBplxdNPm7aPJ30ZTGVTeYYCWAT1agKVcXTf4umvxdNKVx1Y7jrh2m2FiDdfh128NtW++s29pTa7beWbft4faFPDFdp3lSjC/HpqqPL8emqo8vxybGV+2m2K4qIu7knh+j0ewa9mAw+5dAryctLz94fme0ozs37mh3sqtpOVWjaGhhcUG3t27r2vK1M3tius7q8Rxfjk1VH1+OTVUfX45NjC/++HJsiu2qGifdyZ0JVqbc7d7V/efua1pO9/c1ioZWPrCiW8/eSuKiyd9Fk7+LJn9Xjk0xXTRVFz4q5woy3hwfOlklaVpONR6Mk7lo8nfR5O+iyd+VY1NMF031hAlWpjRXm2oUh/96GkVDzVYzmYsmfxdN/i6a/F05NsV00VRPmGBlSrvX1sLiwv5Ju3dNu91rJ3PR5O+iyd9Fk78rx6aYLprqCWuwMmZntKON/obGg7GarabavfaFFwzGctHk76LJ30WTvyvHppgumqoJi9wBAAAAIsMidwAAAABHmGABAAAARIYJFgAAAEBkHmmCFUJ4XwjhCyGEaQjh5oH9T4YQ/l8I4YX5dufRU+vHaGek7t2uWs+31L3b1WhnlNxFk7+LJn8XTf6uHJtiumiqH4+0yD2E8B2SppKek/QjZnZvvv9JSb9kZu84j49F7g8Y7Yx0484NTXYnKqelikahxYVFbd3e0vK15dMFl+CiifHl2lT18eXYxPiu9vhybLqKXNoidzP7opm99CgOOJr+Rn//ZJWkclpqsjtRf6OfzEWTv4smfxdN/q4cm2K6aKonl7kG660hhP8eQvhPIYS/dIk/p5Jsjjf3T9Y9ymmpwXiQzEWTv4smfxdN/q4cm2K6aKonp06wQgifDSG8eMT2nhP+2KuSnjCz75b0DyT9fAjhTx/jfyaEcC+EcO+111672CgqyGpzVUWjOLSvaBRqNVvJXDT5u2jyd9Hk78qxKaaLpnpy6gTLzN5lZu84YvvUCX/mq2b2R/Pv70v6n5K+7ZjXrpnZTTO7ef369YuO4+oxGkndrtRqzb6ODi8I7LV7WlxY3D9p965p99q9c3lius7scRxfjk1VH1+OTVUfX45NjK8mTbFddcLMHnmT9GuSbh54fF3SY/Pv/7yksaQ3neZZWVmxWjAcmi0tmRWFmTT7urQ023/wZdtD66x3rLXWss56x4bbwwt5YrpO9SQYX45NVR9fjk1VH1+OTYyv4k2xXRVE0j07bm503BNn2SS9V9Irkr4q6cuSfmW+/29L+oKkLUm/KelvnMVXmwlWp/PgZN3bimK2P4UnVxdN/i6a/F00+btoSuOqICdNsN7wiL/9+qSkTx6x/xOSPvEo7kqzuSmVhxcEqiylwTkXBMby5Oqiyd9Fk7+LJn8XTWlcNYM7uadgdVUqDi8IVFHMrm+n8OTqosnfRZO/iyZ/F01pXHXjuF9tpdhqc4nwHNfaXTy5umjyd9Hk76LJ30VTGlcF0WWtwYq91WaCZTY7OTsds1Zr9vWiJ2ssT64umvxdNPm7aPJ30ZTGVTFOmmA90kflxIaPygEAAICrwqV9VA4AAAAAvB4mWAAAAACRYYIFAAAAEBkmWIk4wyciuHpyddHk76LJ30WTv4umNK5acdzq9xRbXd5FyLt6acrVRZO/iyZ/F01pXFVEJ7yLkN9gJaDflyaTBzfHLcvZ434/jSdXF03+Lpr8XTT5u2hK46obTLASwCcr0JSriyZ/F03+LprSuOoGE6wE8MkKNOXqosnfRZO/i6Y0rtpx3LXDFBtrsA6/bnu4beuddVt7as3WO+u2Pdy+kCem6zRPivHl2FT18eXYVPXx5djE+KrdFNtVRcSd3PNjNJpdwx4MZv8S6PWk5eUHz++MdnTnxh3tTnY1LadqFA0tLC7o9tZtXVu+dmZPTNdZPZ7jy7Gp6uPLsanq48uxifHFH1+OTbFdVeOkO7kzwcqUu927uv/cfU3L6f6+RtHQygdWdOvZW0lcNPm7aPJ30eTvyrEppoum6sJH5VxBxpvjQyerJE3LqcaDcTIXTf4umvxdNPm7cmyK6aKpnjDBypTmalON4vBfT6NoqNlqJnPR5O+iyd9Fk78rx6aYLprqCROsTGn32lpYXNg/afeuabd77WQumvxdNPm7aPJ35dgU00VTPWENVsbsjHa00d/QeDBWs9VUu9e+8ILBWC6a/F00+bto8nfl2BTTRVM1YZE7AAAAQGRY5A4AAADgCBMsAAAAgMgwwQIAAACIDBMsAAAAgMgwwQIAAACIDBMsAAAAgMgwwQIAAACIDBMsAAAAgMhkdaPREMJrkv4gdccl82ZJf5g64orAsTofHK/zwfE6Hxyv88HxOjtX+Vj9OTO7ftQTWU2w6kAI4d5xd32Fw3CszgfH63xwvM4Hx+t8cLzOTlWPFZcIAQAAACLDBAsAAAAgMkyw/FlLHXCF4FidD47X+eB4nQ+O1/ngeJ2dSh4r1mABAAAARIbfYAEAAABEhgmWAyGEfxFC+HwI4YUQwq+GEL7lwHMfCiG8HEJ4KYTw7pSduRBC+NEQwm/Pj9knQwh/5sBzHK+HCCG8L4TwhRDCNIRw86HnOF4PEUJ4en48Xg4hfDB1T26EED4WQvhKCOHFA/veFEL4TAjhd+Zfl1I25kQIYTmE8B9DCF+c/3f49+b7OWZHEEL4EyGEQQhha368/tl8f+WOFxMsH37UzL7LzN4p6Zck/RNJCiG8XdL7JX2npKcl/ZsQwmPJKvPhM5LeYWbfJel/SPqQxPE6gRcl/S1Jv35wJ8fr9czH/5OSvlfS2yV9//w4wQN+WrPz5SAflPQ5M3ubpM/NH8OMr0n6h2b2HZK+R9LfnZ9THLOj+aqkv2JmNyS9U9LTIYTvUQWPFxMsB8zsfx94+A2S9ha+vUfSL5jZV83s9yS9LKnl3ZcbZvarZva1+cPfkPSW+fccryMwsy+a2UtHPMXxej0tSS+b2e+a2a6kX9DsOMEcM/t1Sf/rod3vkfQz8+9/RtLf9GzKGTN71cx+c/79/5H0RUlNccyOxGZM5g+L+Waq4PFiguVECOGjIYSRpL+j+W+wNPuPcHTgZa/M98EDflDSL8+/53idD47X6+GYXIxvNrNXpdmEQtI3Je7JkhDCk5K+W9KmOGbHEkJ4LITwgqSvSPqMmVXyeDHBikQI4bMhhBeP2N4jSWb2YTNblvRzkjp7f+wIVS3e1nna8Zq/5sOa/fr95/Z2HaHieJ3wx47YV4vjdQIcE7gUQgiLkj4h6YcfumoBD2FmX58vmXmLpFYI4R2Jky6FN6QOqApm9q4zvvTnJa1L+qea/et5+cBzb5H0pchpWXLa8Qoh/ICkvy7pr9qDe4lwvM5HbY/XCXBMLsaXQwiPm9mrIYTHNfvNA8wJIRSaTa5+zsz+3Xw3x+wUzGw7hPBrmq35q9zx4jdYDoQQ3nbg4fdJ+u3595+W9P4QwhtDCG+V9DZJA+++3AghPC3pH0n6PjP7vwee4nidD47X6/lvkt4WQnhrCGFBszcBfDpx01Xg05J+YP79D0j6VMKWrAghBEn/VtIXzexfHXiKY3YEIYTre+8MDyH8SUnv0uz/Eyt3vLjRqAMhhE9I+nZJU0l/IOm2mY3nz31Ys3VGX9PsV8u/fKyoJoQQXpb0Rkl/NN/1G2Z2e/4cx+shQgjvlfSspOuStiW9YGbvnj/H8XqIEMItST8h6TFJHzOzj6YtyosQwscl/WVJb5b0Zc1+2/7vJf2ipCckDSW9z8weXghfS0IIf1HSf5b0W5r9b7wk/WPN1mFxzB4ihPBdmi1if0yzX/L8opn98xDCN6pix4sJFgAAAEBkuEQIAAAAEBkmWAAAAACRYYIFAAAAEBkmWAAAAACRYYIFAAAAEBkmWAAAAACRYYIFAAAAEBkmWAAAAACR+f/VtLc90SMjkgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.axes().set_aspect('equal','datalim')\n",
    "\n",
    "x1, y1 = coordsA.T\n",
    "x2, y2 = coordsB.T\n",
    "x3, y3 = coordsC.T\n",
    "x4, y4 = coordsD.T\n",
    "\n",
    "for i in range(-12,12):\n",
    "    plt.scatter(x1 + i * latlength, y1, 30, 'blue')\n",
    "    plt.scatter(x2 + i * latlength, y2, 30, 'red')\n",
    "    plt.scatter(x3 + i * latlength, y3, 30, 'green')\n",
    "    plt.scatter(x4 + i * latlength, y4, 30, 'purple')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "de612c22",
   "metadata": {},
   "source": [
    "### 3.2 Define and diagonalize the Hamilton matrix"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "40b1f0a7",
   "metadata": {},
   "source": [
    "\\\\( H = \\begin{pmatrix} \n",
    "0 & pb & 0 & 0 & \\dots \\\\ \n",
    "bp & 0 & br & 0 & \\dots \\\\ \n",
    "0 & rb & 0 & rg & \\dots \\\\ \n",
    "0 & 0 & gr & 0 & \\dots \\\\\n",
    "\\vdots & \\vdots & \\vdots & \\vdots & \\ddots\n",
    "\\end{pmatrix} \\\\)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7e59ce7a",
   "metadata": {},
   "source": [
    "\\\\( \n",
    "pb = rg = \\exp\\left[ia_0\\left(\\frac{\\sqrt{3}}{2}k_x+\\frac{1}{2}k_y\\right)\\right] + \\exp\\left[ia_0\\left(-\\frac{\\sqrt{3}}{2}k_x+\\frac{1}{2}k_y\\right)\\right]\\\\\n",
    "bp = gr = \\exp\\left[-ia_0\\left(\\frac{\\sqrt{3}}{2}k_x+\\frac{1}{2}k_y\\right)\\right] + \\exp\\left[-ia_0\\left(-\\frac{\\sqrt{3}}{2}k_x+\\frac{1}{2}k_y\\right)\\right]\\\\\n",
    "br = gp = \\exp\\left(ia_0k_y\\right)\\\\\n",
    "rb = pg = \\exp\\left(-ia_0k_y\\right)\n",
    "\\\\)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "7a40e01c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0, 1, 0, 0],\n",
       "       [1, 0, 2, 0],\n",
       "       [0, 2, 0, 3],\n",
       "       [0, 0, 3, 0]])"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.diag([1,2,3], k=1) + np.diag([1,2,3], k=-1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "112f46d9",
   "metadata": {},
   "outputs": [],
   "source": [
    "atoms = 160 # Multiples of 4!\n",
    "\n",
    "k_points = 201\n",
    "kx_list = np.linspace(-np.pi/a0,np.pi/a0,k_points)\n",
    "ky = 0\n",
    "energy_list = []\n",
    "\n",
    "for kx in kx_list:\n",
    "        # define the offdiagonal elements\n",
    "        offdiagonal1 = np.tile(np.array([\n",
    "            np.exp(1j*a0*(np.sqrt(3)/2*kx+1/2*ky)) + np.exp(1j*a0*(-np.sqrt(3)/2*kx+1/2*ky)),\n",
    "            np.exp(1j*a0*ky)\n",
    "        ]),atoms//2)[0:-1]\n",
    "        offdiagonal2 = np.tile(np.array([\n",
    "            np.exp(-1j*a0*(np.sqrt(3)/2*kx+1/2*ky)) + np.exp(-1j*a0*(-np.sqrt(3)/2*kx+1/2*ky)),\n",
    "            np.exp(-1j*a0*ky)\n",
    "        ]),atoms//2)[0:-1]\n",
    "        # Hamilton matrix\n",
    "        ham = np.diag(offdiagonal1, k=1) + np.diag(offdiagonal2, k=-1)\n",
    "        # energies are the eigenvalues\n",
    "        energy_list.append(np.linalg.eigvalsh(ham))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "bc9cbfa0",
   "metadata": {},
   "outputs": [],
   "source": [
    "energy_list = np.reshape(np.array(energy_list), (k_points, atoms))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "25c44b02",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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LX/ziHR/rsIKd2qgX8K3K51uJLd8N3NtPf55B1gAC9qcBKpWKaiGRf94pyuUyXvWqVyGbzeLChQv7OC4aNDxX7OzsoLu7+xn7oj0b1M5/2diRcyKnyWrJ5sQTq1QqsFqtnHLY3t6Gy+VCqVTC7u4u9vb2UCwW4fF4EAwGsbi4yNWMCwsL8Pl8cDgcsNls2NzcxMrKiup7U1Nwm80Gi8UCo9HIfKzDjG+lUsHu7i7K5TJ2d3exs7OzL9VI38vr9TLXbGtrC8vLy+xU6XQ6BAIBGI1G1fMWiwVms1nVwslqtbKDViu/QRvDWjFXSmmSbTro/O7EPm1vb6OzsxP9/f3413/913u+WGl48WB2dhZtbW1YXl6u2zEPW5MPEzqurUq+F9AiYBLII74VWVh2wOrNDQOA4eFh2O12/PIv/3Ldjqnh2xfveMc7YLVa6+p8HUZorX1O5i7VGjpqG7S9vQ2j0ciCiDs7O6hWq/D7/fyeYrGIzc1NmM1mhEIhdgTK5TLm5+exvr7OzlAymYTX693nLJBzNDc3h6mpKYyNjWFycnLfY2JiAuPj45iamsLc3BxWVlb2OV9GoxF+vx/JZBIejwdCCKyurmJhYUHVrDscDsNoNGJtbY2PYTKZ4PV62bkDbgpA63Q6dkIp1Uk4rIDhMLtT783hf/7nf8JkMuFDH/pQXY6n4dsXQgh83/d9H6LRaF2dr1tlpuTn5OriZ+p0cTegOWASqAXJrYxdLYFYfl09CX3vfOc74XQ6MTw8XLdjavj2wfDwMBwOB37lV36lbsesnecUpanlKx2UwpejYKVSiSO81WoVu7u7cDqd/PqVlRUIIVTOFslEWCwWxGIxVRPdlZUVTExMYG1tDXq9HoFAAJlMBul0GsFgUEXil0FaYPLjMOFVq9WKUCiEdDqNdDoNn88HRVGwurrKn03weDyIRqMwGo1YX19nPpjJZEIgEEClUuFInV6vh8PhQKlUYrtjtVo5ckd9L+XrTte2djxuRdK/Uwgh8Na3vhV+vx+Li4t1OaaGby989atfhclkwuc///k7PtZhPC953h9khw4TQr5XuPdn8DwDGWBZZ6iWj0GhfXkSyOlJnU7H+j13sgvd3NxELpfDq171Knzxi1+sa6RNw4sTQgh813d9F/7yL/+ybseU5zP9TbyqSqWiMmzkaMn3ETk3NpsNGxsb2N7eht1uh81mw9bWFtbW1hAOhxEKhTA3N4dKpYLl5WWEQiFEIhHMz89jd3cXq6ur2N7eRjAYRCgUgsvlwuLiIjsvS0tLWFpagsfjYbK93++Hz+dTCa2S2OpBzcQVRdnXkJs2ZsBNp21nZwfr6+tYX19XvddqtSIQCMBkMmFnZwfz8/OcjqX/VatVLC8v8zULhUIol8vY2NgAAC4qoHOzWCwcGZN5Ys/US7J2jGgM7xTLy8sIBoP4X//rf+GDH/zgHR9Pw4sflUoFJ06cwGOPPXbHx5LX3oPadh0U+ap9H90L9ex881yhOWASqtUqpwpkXorRaDxQz+iZUpCHTZZniy996UswGo348pe/jJe85CXP+TgaXtx47LHHMDAwcGgU53bxTPO2NtolO2Ck00UpNqvVyk5LIBDA9vY2yuUydnZ24Ha7USqV2OEKh8MIBoNYWFjA7u4u5ubmEA6HEYvFsLS0hI2NDZRKJUxOTsLn88Hr9SKdTqNUKmFlZYUdotXVVeZXWa1Wrk4klXy55+NBLYmq1SoqlYpKIX9tbQ2rq6sHOm0ejwcej4e/9+Li4r6ImNfrRalUYgcTAEKhEBRFwdLSEoCb0S6Xy8XRMbPZDIvFwt/LarWiWCwCuGmTKEpW2+NS3gwe9LMeqcnf/M3fxMc+9jFcvnwZqVTqjo+n4cWJv/iLv8B3f/d33/Gcq523h63BBxX7CCFgNpu5IMdisWBrawvb29v3vE2g5oBJ2NvbQ6VSYYVcMnwWi4UNKu08b8V/OQrBxEqlggceeACnT5/Gv/zLv2jRMA0MIQQefPBB/MM//ENdjnfYIl27uMuvlXlZdrudBUqdTic7NeR0LS0tMacrGAxibm4Oe3t7mJ+fRyQSQSQSwezsLPb29jA5OcmViW63m1+7vLyMlZUVhMNhOJ1OxGIxhMNhloigtN/29vaBHC5qWyRHtyqVCsrlMkfKbuXIOp1OeDweWK1W6HQ6lMtlrKysYGFhgV9jsVgQCoXYlszPz/N1jEaj0Ov1mJmZ4Wbcfr+fFwbgpqwFOVwUiaOImtFo5P89UwXqQWNbj4hYsVhEOp3GG97whrr2DNXwwke5XEZHRweuXr16R8c5zPGqBd0bBzlge3t7cDgcXJTj8/mwvb39jPf43YDGAZNAxGCqwgK+1fyXFhmaAHI64CBRRNnw1Xrrd4J//dd/hdFoxL//+7/f8bE0vPDxn//5nzAajXVxvmo3EIf9nxb6SqWiStXL9wfdS6VSCV6vF8BNAWKTycSyDEtLS+yMKIqC3d1dzM7OwmKxIJPJMHdrZmYGs7OzsNlsyGaz7LwIITA7O4vBwUHMzMygXC7D6XSioaEBbW1taGhoYAdNvvf29vawvb2N9fV1rKysYHFxEYuLi1hZWeEUqWyYdTodXC4XotEocrkc2trakMlk4HQ6sbu7i6mpKdy4cYOdL4PBgHg8jkwmA5PJhJmZGXa+bDYb0uk0DAYDpqensbe3B71ej1gsxmR+APD5fNDr9exkeb1ejnhZrVZ2nkgUFrhpk2T5C3msCLVjWw+b9KlPfQoWiwWXLl2642NpeOHjs5/9LIxG4x07XzJqKT+1mpwyD5JsElUPUwper9eztiBxSGtbmt1taBEwCW63m0vEKQ3gcrm4PNxqtXIKwmQy7RNilFMB1NqEJkttvvpOomOVSgWnTp3CS1/6Unz5y1/WomHfhhBC4KUvfSm++tWv3vGxDpqPB20magmvFM6nxtVWqxUbGxvY2tpiYvnGxgYikQjzvSjVWK1WsbGxgbm5OcTjcaRSKUxNTWF3dxcTExNIJBJIpVJYXl7G4uIiNjY2sLGxgVAoxLyuYrGI+fl55pFRlNrpdLI8hMvl4nuQCP+kv0WpRnJaKBpG6UmKklGqld6/vr6OpaWlffc/CbfabDaO6MmVXqFQCB6PB9vb25icnOTUSDQaRblc5lZAbrcbdrsds7OzfFxFUdgZs9ls/F1l+Qqj0Yjt7W1VIUTtmMm2Sf77Tm1SqVRCe3s7fuiHfgh/9Ed/9JyPo+GFi93dXbS3t2NwcPCOj3WYTTqo6EeOypfLZVgsFo5u2Ww2FItF7O3tcXp/fX0d4XAY29vbKn3BewHNAZMghIDf72ejabfbodfrsb29DUVRYDabmSxLvDCDwbBP+bt28TqMkH+nRu8f/uEfYDKZ8PWvfx29vb3P+TgaXlh48skncfz48bpxvQjyQizrUMlEbuAmV5LI9aTpRenGYrGI3d1d6PV62O12FItFrK6uIhAIcHuepaUlhEIhCCGwubmJiYkJdsLm5uZQLBYxNjYGn8+HUCgEn8+H+fl5rK6uYn5+HvPz8/x8Y2Mj9vb2OJK1t7fHzhrBbDbD6XTCbrfzBov4UrXR6mq1yvpk5XIZq6urKBaL2NjYOJD/RWlUt9sNg8GAnZ0dzM7OqioF/X4/AoEAgJv6R+Q8uVwu5sXNzMwA+BafjFKwZrMZbrebI2gulwvAzYWGtMwoikbfQ46EyVWR5XL5ltH5elAmHn74Yfz5n/85hoaGEA6H7/h4Gl4Y+Nu//Vu88pWvPBKuF0WuaiNeFIHf29tjmyVH5YvFIgKBAMvYhMNhWCwW7OzsYGNjA8FgUOOAPZ9QqVSYM2IwGODxeDit4Ha7OQVgt9uZi2GxWJizQQ4YNeI9iJNR7wEvl8vo6+vDq1/96rpWvml4fuKNb3wjPvWpT9XlWHI0RHa8ZGNXrVaZX0HzmdoDUUUhRWF2dnbg8XiwvLyMtbU1BINBlEol7OzsYHNzE9FoFFNTUygWi1hcXEQ4HIbJZMLy8jImJycRiUSQSqWwvr6OqakpLC8vY319ndXqw+Ew5ubmVI6YxWJBNBpFKBRCLBZDuVzmiNji4iKq1SpH6Oohn2AwGOD3+5n/RddmbW0NMzMzKifN7/cjFApBr9djdXUV09PTvBlLJpOw2WxYWlpiGxMKheB0OjEzM4OdnR0YjUaEw2GsrKxgd3eXHUmKjHk8HlVUjOyTvFE8SMJCHv/aiFi9uGGRSATvete78Au/8At3dCwNz28IIXD//ffjn/7pn+p+3IOqr2mDRE4ZrbnlcpmLVKrVKjtalG7c2NjA+vo6fD4fZmdnsbm5yTbsXkJzwCRsbm5y9CsSifCu12QywWKxYHZ2FoqiwG63s9E0mUzY3NyEwWDgXScRkqnXW20krBb12H1+8YtfhM1mw8jIiLbzfBFieXkZ6XRa1WPwueKwEm4CGTqavzSf5R2nyWTitFgoFML29jY2NzcRiURgtVpVf09NTWF1dRVmsxnpdBrj4+PY2NiAEAKxWAxWqxVTU1OYnZ3FxsYGEokEWltbMT09jbW1NYyNjcFoNCKRSCCdTiORSGBlZYUdlZGREQA3nRC/3w+n04lUKoVsNotKpYJSqcSkW1K2J4fxoGtjsVhgtVphsVhYjsJiscBisUCn02Fvbw9bW1vMHZOPYzQaEYlE4PF4oNPpsLKygsnJSXZq/H4/wuEw9vb2MDo6yu9NpVIwmUyYmppicdpkMom1tTVsbGxAr9cjHA6zor7D4YBOp8P29jb0ej0sFgu/jvhxFotFlV6ln9Rz81aOVj1s0i/+4i/id3/3dzE8PMxCuxpePLh+/Tra29vr4sTI861W5kkGbRApzUiO2u7uLhwOB4rFIorFIvx+P8vFRCIRDqxQYczs7CwWFhb20QjuNjQHTAKF9+PxOHZ3d7G2tgadTodgMMil4h6Phxv9Es8FAHNcgG8taJSSqBWsPGxy3Sm2t7cRiUTw/ve/H29729vqfnwN9wYf+tCH8Na3vrVux6uNetBzchSsXC7DaDRy2gq4yfEgflOpVILD4cDGxgZHvlZWVrCysoJgMMjOk8lkQiwWY2X5UCiETCaDiYkJbG5uYmRkBOl0Go2NjRgfH0exWMS1a9cQjUaRSqWY5E6v1el0SKVSCIVCzOOgiNjW1pbKoJpMJvh8PjidTpajIDLuM91/JEFBqcitrS3Mzs5ieXl5X+qXIlUulwtWqxWVSgWLi4uYnJzk13g8HkQiERgMBszNzfEGzmazIZlMYm9vDyMjI9yaKR6PY2VlBUtLS1AUBbFYDJubm7zZozQlcJOwT9/b6XTy71R9KS9uBoMBu7u7PMZyBaXczqheKUkqnvjsZz+LH/iBH7jj42l4fuDNb35z3XrK1nIQD1ojab6aTCbeQADfskmbm5scBaPNltvtxtraGjthk5OTWFlZQTwe50prWdD5XkBzwCRYrVYkEglUq1XmXMRiMRSLRezs7MBqtcJqtWJ6ehqKosBms2F+fh46nY4XK7PZzDsCqgqTjd5BnIt6loYDwE//9E/jIx/5CK5du3bPWy1oeO6oVCpobm7G0NDQcz6GPM/kED79T4Zs5OgnGTMK6RMpvVgsIhwOo1gsYn19HbFYDKVSCVtbW9jc3EQikcD4+DgWFhYQj8c58jU/P49qtYpsNsutfm7cuIFEIoGmpiasra1hfHycKwczmQyampqYW7W8vIzR0VGMjo7C4XAgHo8jFoshlUphb28Pm5ubWFpawvLyMldVkqNSC+KCySCi/a2g1+vh8/m4DyXxsDY2NjA6OqpyAgOBACKRCEwmE1ZWVnDt2jW+19PpNEfTiYAfDAbh9/sxOzuL1dVVGAwGJJNJbgSu1+sRj8extLTEVZ80HqRzRu+je5+cZkAdnacxP6iPpDwn6mGTXve61+EDH/gA/vM//1MrGnoBY2NjA+l0WtVztR6QpZvkikbKHNEaajQaUSqVVM+5XC5sbm5ykc729jZWVlYQjUaxtbWFYrHIVIWZmRlMT08jmUxy9P1eQnPAJJAhmp6eBgDema6srMBgMCAYDLIx9/v9zL9wu91sdG02G1ZWVlS7bIPBgFKppOLSyOnIg0Tl7nT3OTQ0BKPRiH/7t3/DwMDAHR1Lw93H17/+dZw6deqOF7/D1KLlOUel2rSJIJFPmqulUgk+n4+bUrvdbpZs8Pv9WFhYYE4XKdabTCYkk0lMTExgamoKiUQCuVwOo6OjWFxcxO7uLhKJBDweD0ZHR3l3mk6n0dHRgfn5eczNzWFoaIidlWw2i4aGBqytrWFychKbm5vc49JsNiMcDjPhXVEUroQiHhqR84mzSdHrw2Cz2eByuVhVn5TxSYKmWCxibm4Os7OzqqiY3W5HPB6Hy+VCtVrF4uIixsfH+f+xWIyLEgYHB9k2NDQ0wGg0YmxsDFtbW5yyXVtbw9zcHHPHqL2RyWSCx+Nhe+X3+3lh9Hg8TPa3WCwoFotsh4BvOWLkPD6TgGvtvHkuePTRR2E2mzE4OIh0Ov2cj6Ph3uCzn/0sfvAHf7Aux6qNfMk0HRlUPCLzqxXlZuN7p9OJtbU17OzswOVyYX19HTs7O/D7/VhaWsLa2hpTIJaWlhCLxTjyNTExwSLO9xKaAyaByMAAkMlkeAdNKQAiw1LFU7FYhMlkgtFoxMrKikqTh8pfgW/tNo1GI1eIUVWZTHwmHBQdey4QQuDkyZP4/u//fjzyyCPP+bpouLt405vehE9+8pN3dIyDIl8EeQNAO0mZ0ErvK5fLcLlcWF1d5Yq87e1tuFwuVpN2OBzwer1YWVnB6uoqR77m5+cRjUaRTqe58XUoFEJjYyMmJyexvr6Oq1evsmbXzMwMlpaWcPnyZW50HY/HMT8/j8nJSYyMjGBkZATBYBDhcBjd3d2oVqtYW1vjFOX4+Dg7OrRhImkZu92OSCSikmig73oQUZ2eq1arnHLd3NzE2toaFhYW9i0Ubrcb8XicUxqbm5sYGhpSRQrS6TQCgQD29vYwPj7Oml+RSATBYBAbGxu4ceMGgJu6X9FoFHNzc6yXlslksLGxgeXlZRiNRsRiMVbWp+OWSiXY7XYAN4sl7Ha7qun35uYmRzrl7yxvDg9zxOqRktzb20Mmk8F73/te/O///b/v+Hga7g5e8pKX4P/9v/9Xt+MdRsWhNZHWSKvVqorGb21t8dpKfEeqcCwWi1hbW0MsFuMKbIvFwjZpenoa6XQaqVQK4+PjGB0dVVVL3wtoDpgEv98Pg8GAhoYGbG5uYmZmBoqiIJ1OY319HRsbG7DZbPB4POyoBQIBrq7yeDzM2TCZTNjY2FC1NCJQ6FR2xA4yekB9qib/+I//GH/zN3+DmZkZboKs4fmHUqmERCJR92bHh0U1ZEL27u6uildBXAqHwwFFUbhse35+HisrKwgEApiensb8/DxztUhoNZPJYGxsDDMzM4hGo2hqasLIyAjm5+exvb3NjsTo6CiGhobg8/mQSqUQjUYxMjLCPR2DwSBisRii0Si/fmFhAQsLC7wpCoVC6OrqghACpVIJa2trWFpaYpI+yTvUgrpdkCo+AG6fRB0xbgW/38+EfxKd3dra4vQpwW63c6pxZ2cHw8PDKo3BTCYDABgbG8Pa2hoURUEul4PZbMbIyAi2trZgsViQSqVYad9oNCKVSmFxcZEjkhaLBZOTk9DpdPB4PHwODocDc3NzHLmrVCp8LiTFAexvtH4rB6weztjP/dzP4ZOf/CSuXr16YIWmhucHFhYWkEqlDixYeS64leNF0iqk37W1tcVzg4rhdnd3We5mY2MDgUAAc3NzWF9fRygUYuoC8biXl5c5jT8xMYGxsTGkUinkcjkMDw/D5/PV5Xs9V9wzB0xRlCSATwGIAKgC+JgQ4kP36nyAmxywpqYmNvIGgwHZbBarq6tYXl6GxWLhkGalUmGvm6JiZLg9Hg9Xq1GpuVx1RJNK5oYB+42eHLm4U6O3vr4Ou92OL3/5y3jZy172nI+j4Wjwz//8zzh//vwdH+cgaYmDHK+9vT1VRBa46QDSc36/H9vb2ygWi0ywp+eXlpZYaoA4VolEAtPT0xytyWazGB0dxczMDCqVCpqamjAxMYH19XVcvnwZuVwOnZ2dGBkZwfLyMpaXl5FMJtHa2opSqYSRkRG+D91uN9LpNHp7e7lH5OTkJKampjA1NQUArBnm9XoRDofZqSqVSqwDtL29zRWQu7u7B7YpIpjNZthsNq5+JB0xk8kEAFxRSVErufejXq9HMplEMBiEwWDg7yxTFjKZDAwGA1d/AjejXqlUCpubm7h8+TKEEPD5fMxdWV5ehtVqZb20tbU12O12+Hw+jvxFo1Gsra2hWq2yBhJwc3NIETez2YxisQir1bqvnySlKQ+zSfXE4OAgTCYTLly4gNbW1rofX8Od4ZOf/CTe9KY33fFxbkWwr9UYPEjCSa/XY2dnB16vF8vLy6qUoywz4XA4uJcsbQwpGh+LxZDP5zE8PIzx8XFEo1G0tLTw5ule4V5GwMoA3iaEeFxRFCeAxxRF+XshxOV7dULr6+uYmJjAxsYG71zn5+exuLjIBP2pqSmUSiX4/X7odDqsra3BYrHA4XBgamoKRqMRRqMRq6urKvKrw+HA+vo657SB/T3cbmX06pUCePDBB/EDP/AD+OxnP3vHx9JQH7z+9a/Hww8/XJdjHVbcAeyfZ3KqkRZeqhza29vjXajL5YLZbMbq6iqi0SisVivW1tZgs9kQCoUwPz+PmZkZJJNJTE5OYmFhAeVyGfl8HhMTE5ifn0exWERDQwO2trYwPDyM69evw+/3M8F+cHAQExMTmJyc5LTk7u4uxsbGsLy8jKeffhrATbmGWCyGhoYG7OzsYHl5GXNzc+zEEXQ6HQKBADweDxwOB6LRKAwGw4HiqweBnFhSyt/e3sbCwgJWV1extLS07170eDzsAFJ6dnp6mh1E4CbBPpVKQa/XY25uDmNjYwBubvwaGxthMBgwNDTEkbDGxkaYTCbcuHEDpVKJKymnpqZ4wYlGoxgbG0OlUkEsFuNCBCoOoJ6bVM3pdDo5Ik9pHbPZzGnK2lZGtQtlbWXanXIUK5UKCoUC3va2t+H973//HR1LQ/0wMDCAr3/968/5/YetVwfRIeSfxD8ligSl1NfX15mnSps/6qwRj8f5/kwmk7zZmJ+fZwrE9PQ0wuEwmpubMTIywhI28sbpXuCeOWBCiBkAM9/8fUNRlCsA4gDumQNGRN1wOIxgMIjR0VE2ZvF4HBMTE9ja2kIgEIDD4cDo6Cj0ej0ikQgTYQOBAJeYO51ODv/TxHM6nVxKTs7ZYSmiwxaJO3XGHnnkEfz93/89pqam7vkO4NsZpVKJK9ruBAfNh1s5GXLFkcFgYF4XSRbo9Xqsr68jGAxia2uLm15PTU1xeH9qagozMzNIp9O865yamkImk8HU1BRWVlZQLpeRyWSwtLSEmZkZXLp0CY2Njeju7lalGrPZLLq7u7G2toahoSEMDw9jeHgY6XQaLS0tAG6mQkZGRpjnpSgKEokEIpEI4vE4FEVh6ZiFhQUsLS2xWOthOEiOguQnbgWDwYBAIIBgMAiXy8Xcz83NTY7MEcxmMxoaGuD3+1GpVLgogf6Xy+W47dDExASAm+lNEqSl/oqpVApOpxPDw8PY3t5mkdfh4WHs7u4iGo1Cp9Nhfn4eZrMZgUCAr1MgEMDMzAx0Oh1sNhvm5uZgMpl4HlitVqyurqoU9OU5QvNJ/lnvrh4f+MAH8Kd/+qe4ceOGlpK8h6DI0Z2S059JWkLmHso/yckneQniWZPmoN/v5+pp+n15eRmpVIqLeRoaGgAAq6urUBQF2WwWY2NjmJubw+7uLnK5HKanp7GysqIJsQKAoigZAD0AnrvLXQfEYjE0NTVBr9fj6tWrKJfLXFk1PDyMnZ0dhMNhOBwODA8PA7hpGBcWFrC7u4tgMMiNfP1+P6ch5fA/SVNYrdZ9Aq63s5usV1n40tISLBYLvva1r+H06dN3fDwNzw7/8R//gVOnTtUlqnmQajRwsMwE8K2I187ODmt56XQ66HQ6rmycn59XVRQRB4ycm2QyidHRUYyNjSGTyUCn03HVYj6fx9LSEubm5nDlyhU0NjbC6/VicHAQ169fh9vtRi6Xw97eHgYHBzE8PIyxsTG0tLSgv7+fHbGxsTGMjY3B7XYjm83i1KlTKJfLLEUxMTHBTovJZEI8Hoff70dLSwu3I6EqyO3tba6GvJUQK4ma2mw2mM1mTkFarVaYzWYWOS2Xy9xGaXp6el8VZDqdhtfr5Sj5k08+yelAu92OXC4Hp9OJxcVFPProo6wrmM/noSgKBgcHOXrV2NiInZ0dTkvG43E4HA4MDg6iXC4jHo9Dr9djfHycG3uT6j6JuVarVYRCId7xk9SFTI2w2+1cwUppoMMcLnl+1Ss9OTIyApPJhOHhYaRSqbocU8Pt4zOf+Qx+6Id+6I6OcRhXsNZBJ1skr31UcU2Ol9vtZpkbt9uN1dVVbnm2sbGBarXKNonkbiYmJjA+Po6Ghgbo9XosLS2hWq2isbGRKRLb29tobGyEz+dDLBa7o+97p7jnDpiiKA4AXwDwViHE+gH//+8A/juAI78pySgTn4KcsWvXrqFSqSCdTsNoNHKlUi6Xw/LyMjY3N+H1emEymbCwsAC73Q6j0YilpSXY7XZUq1WuKCMjLDtiGxsb/PdBvJ2DeDzy/+4EZ86cwY/+6I/iYx/72B0dR8Pt421vexs++MEP3vFxbjX+tWXepBZNUhPkeFFZ9+bmJrcR2t3dhd1ux8bGBmKxGGw2G2t9kUNmMpmQz+cxNDSE0dFR5PN5WK1WjI6O4urVq2hubobH48G1a9dw9epVJBIJdHZ2YnZ2FlNTU3j88cfR0NCAzs5ObGxsYHBwEJcuXYJOp0NjYyOOHTvGIqxTU1N44oknANzkOMXjcQwMDHBD74WFBUxPT3OlJEGuhHQ4HLDb7ayPRQ7nQZBFWInrtby8jNXVVSwuLu4j6BsMBqTTaSblA+DvJEfg0uk0otEopyAprWo2m5HP52Gz2TAzM6OqxPb7/cwT0+v1aG5uRrlcZvmNXC6HSqWC0dFR5qzOzMygVCqxAvj6+jo8Hg+q1SqL5haLRQghuMqVuh4AN2Ur1tfXudG6XCUrd0iQbVK9uKpkZz/60Y/ix37sx57zcTQ8O7zmNa+peyu7g4rJ5OpiAjle1ErIZDKxoj1F5j0eDywWC1ZXVxGPx1EqlbCwsIBYLMYOmcVi4ZTj8PAwstksjEYjZmdncfXqVTQ2NsLpdGJ0dBQXLlxANpvF+vo+l+OuQrmXzSgVRTEC+CsAfyeEeMYV6dixY+LRRx89svN597vfjV/8xV+Ey+VCNpvF8vIyO2PNzc0olUoYHR2FTqdDLpdjwUe/3w+v14sbN27AYDAgHo9jbGwMer0e0WgUk5OTMBgM8Hq9WFhYYB7G7u4uR8ccDgfveKkijcKxVKkmV4l88/rVrbckRTS08P/RQQiB5uZmDA4O1uV48vjXzg+5WXalUoHZbOaIF20YVlZWYDQaYbVasb6+zlHbUqmEZDKJ6elpCCGQTCYxNTWFcrnMulSrq6vw+XwIBAK4ceMGqtUq0uk0zGYz/51MJjl6vL6+DpPJhObmZuY1UaeJ5uZm+Hw+bGxs4Nq1a5z+iMfjSCaTMJvNWFtbw+joKEeSgZuk9WQyCbfbDbPZjGq1iu3tbT6/hYWFuqcYLBYL94KkRYG4KisrKxgbG1OVtgcCAU4fbm9vcyoEuMkLbWxsZEFnmhd+v5/5crT5o0rRmZkZzM3NwWg0IpfLYWNjg7mnlFpZX19HIBCA0WjkymdKSVIvy7m5OVitVi4ScrvdfN6kr0QLG3EB5TZU5MxTI3C5+Xc9IvQAcP78efzjP/5jXY6l4WDs7u4iEonUVViV7JJcZU1rmRypp8pH6iVL/FObzcYpx1AoxFEs6qhB0W5arxoaGri/YyQSgdPp5HupsbERAFR/OxwOXLt2DVtbW3jooYfw3/7bf6vbdz/kejwmhDh20P/uZRWkAuAhAFdux/m6G8hms+wlX79+HZubm3A6nazaPTs7C6vVyrtMcr7cbjdu3LgBvV6PdDrNHI9oNMqSAkRW1ul03LfN4XBwFRZVbZlMJt51kvaSXCVyVJGwiYkJmEwmjI+P3/Ow7IsRc3NzSCQS+9rYPFvUjvVhEVKaLyaTiRdPaosF3GyYTFo5Xq8XxWIRy8vLiEajLC9BmwdSpB8eHsbExARyuRyH94UQKBQKnEaMRCJc3TgxMYHV1VU0NzejWCziypUruHDhAoLBIFpaWlAqlXD16lVcuXIFiqKgqakJx48fZ7kGin6ZTCbmjlGalCJF8sJBXE2fz4dwOIxCoaBKdZCQLFUrU4SLxsRgMMBkMnF0zGw2c09I0iciYv729jZrlNVWUlKky2azoVwuY25uDk899RQ7KdSOiRwkiu7Z7Xa0tLRAp9NhcHCQI1Pt7e0wmUy4fPkyp4Wp4GFxcRFOpxOZTIZ1jcLhMOx2O4aHh7k3pVwlKbcwmpqagsFg4FQkVXDXOvcA2OG63QrJO7VL//RP/8QyGqRtpqF+eOKJJ9DX11eXTfxhxT+0dtGmcHd3l7tqUDNss9mMra0t7rixtbWFYDCIYrGI1dVVFkBfW1tj/ilx1YimkMlkMDMzg9nZWVQqFbS2tmJwcBCDg4NIJpNob2/H0NAQBgcH4fF40NraiuXlZeRyuTv+7neCe5mCPA3ghwFcUBTlyW8+9/NCiL++VydEavaPP/44gJvhfZfLxXwMv9+PeDyOkZERNnT0f71ej2w2i9nZWezs7PAEot+3trZQLpcRDAaZHEg8MIfDwZ9Nk7iWnFiLeuvyADcXqXg8jocffrhuisca7lxBWh7f2pZVtWNPEhO184d2nTs7OxzZoJT48vIyvF4vFhcXsbm5yZuFYrGoItxns1kMDQ3hxo0byOfz3NewVCpx9IUaaufzeRYjffTRR5HNZtHf389OFekL9fX1YWtrC9evX8e1a9dw7do1roLU6XRYXFzk9CRwM12XyWT4NeVyGSsrK/zZlJqT4XK5OA1ptVpht9tVaUhyKKhNE1UM7u3tYXFxERsbG1hbWzuwEbpOp0M8Hkc0GoXb7YZer2eF/NHRUXbubDYbc+GoETdt1NxuNxobG2E0Glm6A7iZggyHw5ienmauW1NTE8xmM65cucJpxkAggOvXr6NUKnF7laGhIU6NTkxMqKKXe3t7iEQiXDVKzYkpPVsul+HxeLC+vs5SOfJcqnXyn2nO3gmKxSIcDge++tWv4v7777/j42m4iV/6pV/Cu971rrodT94I1s4P+rtWb5DmEzXJ3traQjgcZo4m0R2oAnh1dRVWq5XtE6Xub9y4wTSI+fl5jny3tbUxV3RzcxOFQgELCwsYHx/H448/jpaWlm/vFOSzxd1MQTY1NXFKBLjpjFmtVibny3wwg8GAfD7P4f9wOAy9Xo/p6Wm4XC44nU5MTU3BbrfDYrFgaWkJfr8fGxsbTN4n7hgRg6lEnML/ci8+eRdKnAy5fLweY/pd3/Vd+LM/+7M7Ps63O1772tfiT/7kT+74OPK40niTsatWq5wWMpvNTGSleUNpOJvNxiR7KsJwOBxYXFzk1jg0f6lEOxwOQ6fTYWZmhtXer1+/jnK5jKamJm4irdfr0drair29Pb5nmpubeYOyuroKi8WCQqHARGviR+XzeUSjUezt7WFoaIiriB0OB3K5HPx+P6rVKhYWFjA4OKjq1RgKhRCPx+HxeLiyj/S5SJ1/bW3tGYVVnwlGoxFutxsejwderxcOh4M1wUqlEpaXlzExMaGKyJG8hN/vhxACi4uLuHHjBt/jsViMCxhIJBIA984sFou4dOkSyuUyAoEAGhoasLS0hOHhYSiKwtpZV65cgRACjY2NqFQqGB4e5sVpdHQUxWIRyWQSW1tbbHsURcHi4iJ8Ph/K5TKnLen83W43lpeXmYMj659RlJ7mnFxIJEc96sULI/zUT/0UPvCBD9zxcb7d0d3djaeeeuqOj3OYTaI5QPNDFnXe3NyEzWbD9vY2iyBTxIvWQKrCDofDTLxPpVKsP5hIJLCzs4PFxUUV/YfoDKurq5iZmYHZbEZzczPW1tYwNjYGnU6H1tZWmM1mXL169XmRgtQcMAmf+9zn8Cu/8iuw2Wy4du0a1tfX4XA40NTUhNXVVQwPD0Ov16OlpQVbW1sYGRmBxWJBLpfD+Pg4NjY2EI1GYbFYMDIywjpJo6OjMJvNiEQiGBsb41344uIivF4vp0Z8Pt8+o0cVVxS+lfPpxA87CgcMuMlfIfKvhmcHiiYS3+fZ4rBUI6Dme9G40xyQuV9Uzk0RL5/Px7wvh8OB5eVlFuvc3t5mjtHe3h6y2Szm5+e5sbYQAlNTU3A4HEilUhgaGkKpVEImk+H7pVKpIJPJwOfzqVL4lG68dOkSKpUK3G43p9quXbvGkZhoNIpsNguTyYS5uTk+JgB2QNxuN7cgosa6MkwmE0eF3G43l7DL15AabtNGRq70I2kOk8nEFY9yMQM5ptRAW04pUzQsEonA5XIBAFZWVjA8PMzcNaPRiNbWVgQCAWxtbeHGjRtMUwiHw8jlctjd3cWVK1eYkEzRwCtXrjBXJp/P8/c3mUxoamrC8vIypqenuQpzZGQE29vb3PNudnYWHo8Hbreb7RCp5judTphMJnbQVldXIYTgwgzi51Bnj1qC9d3iqra3t+PChQt1Oda3G4rFIlfq1wPyfXMrB4yCB2azGXt7e6rsD20G7XY70wtisRhHsVKpFBelpFIpTE9PY3d3F9lslgtwqOE9BUeoeO7KlSsAbkaNbTYbrl69ip2dHfh8PuTzeayvr+PjH/84zpw5U5frcYvrpDlgt4NPfOITeO9738sSEy0tLXC5XLh27RrW1tbg8/nQ0NCA8fFxVuhOpVK4ceMGL2B6vR4jIyMwm81IpVJ8rHQ6jfHxcRZMJG6Lx+PB/Pw8XC4XSqWSKtwqG72dnR2VcZPJsPS8HBGpF3Q6Ha5fv37Pc+UvJJAo6Z1GXWTIxo7GWyZDy8R7i8Wi0vbyer1YXV2FwWBgqYFgMIj19XXeXVIbm0QiwbvFdDqNmZkZntuKomBsbAw2m42V7ZeWlhAIBJBOpzE6OoqlpSV2ujY2NnD16lUAN41nIpHA0tISR8hIMkKv12N4eJgNrc1mQ0tLC29OqMKR4PF4kMlk2MESQmBrawsLCwuYmJg4tG0KfX+bzcbcLrqmdI2ppdHW1ha2trZQLBYPHUfinAUCAW7xRWT8kZERTlkqys32QtFolKujr169ysUGDQ0NrL106dIllgVpbW2F2+1m4UidTscRxCtXrmB7e5t10KioIRKJIBQK4erVq6x5tL29jenpaVYKHxkZgcFgQCKRwOjoKIxGI6LRKMbHx1mCg5xzcsRIDJNsk9xrjxZX6qRAGwC532Q9o2EWiwWLi4saL+xZ4PHHH0dfX19djiWPIY1tbdGPnJ4mp2xvb4+rr6kIyGazQa/XY2NjA5FIBAsLCyy1MjExAZvNhnA4zGsq2ZnauU08yOHhYRSLRW68PTg4yC2LcrkcUwOAmxH6973vffjO7/zOulyXW1wvzQG7Hbz3ve/Fz//8zyMSiaChoYH5J8BNZ8xqteLSpUvY3d1FIpGAx+PBlStXuNVKqVTinWU6ncbQ0BD29vaQy+UwMzODra0tVSg1Ho+zYaXKJNI+kY0eOWJk9CikW5uWlBfpelYjAcAf/MEf4I1vfGPdjvdixZ//+Z/ju7/7u5/Tew8TVJVJ9kIIXuxqQ/w0P2i+uFwubr5st9uxtrbGHETSj5qcnITFYkEoFML4+Djsdjui0Shu3LgBk8nE0V2ar3a7HdevX2cHYXNzE2NjYzCZTCgUCtjd3cXlyze1lBsbGxEIBFiJWqfToa2tjaMuJOdCETGr1crOCaVNU6kUUqkUSyLMz89jeHhYVd1I7Xp8Ph9LTezt7bGszPb2NjfSJk2s24Fer4fb7Vbxx8hBoc8oFotYWlrC1NSUik9CkXG/3890guHhYeZ3WSwWtLS0wOfzcauira0tKIqC5uZmBINBLC4u8i4+k8kgFothZmYGIyMjfC0VReHIYmNjI2sYKoqClpYW7hTg8XgQDodVEjrj4+PY2dnhwqFqtcoLn+yI+f1+7qlHEgE0xyitRHOv1hGj60jRkXquN//xH/+BEydO1O14L1a8733vw8/+7M/W7Xjy2lIb8aTxr6VCyJvBlZUVWK1WbqQdCoWwsLAAvV7Pgs8Oh4N7LrtcLng8HoyPj8NqtSKZTGJkZITXViEEp91bWlpUBXOtra1YX1/ned/e3s5BlaWlJfzhH/4h3vCGN9Tt2hwEzQG7Tfzpn/4pfv3Xfx3VahUXLlxAqVTa5zkbDAa0tbVhZ2cH165dg9FoREtLCxYWFjjEn0gkcP36dezu7jIxcH19HYlEgtsnhEIhbG9vY2Njg1NVQggmQ3u9XqytrUGv18NoNGJra4tTSbWOGC3EcgTsKNKSr3vd6/CZz3zmjo/zYsWP/uiP4hOf+MQdH+cgbgWlyuR0DzngNB9oflitVpTLZe5LKkczqIfp7OwsHA4HXC4Xpqen4fF44HK5MD4+DqfTiVAohKGhoX3yBgdFWOx2Oy5fvoxyucxNtW/cuMF6YW1tbTCbzbh27RpWVlZgMBjQ3t7OsiyXL19GtVqF2WxGa2srfD4fSqUSJicnmRcF3IwikxMIAJubm5ibm8P4+Pi+6lKn04lIJMISFSaTiZtv0/Uj8UdZhVt+jvhk9CiVSswvoaIZgslkQjqdRigU4mjYxsaGSvlejoQZDAZ2sCh62dbWxtfk0qVLEEIgFApxQQM5WpFIRNXwnJw5ks0hwv/ExASWl5dVciFCCOTzeUxNTWFrawsNDQ1YWFjA5uYmkskkFhYWsLOzw/0nSYR2ZWWFF0+LxYJqtaqKttJCSwsvVVXSfKXrWs9NIQC8853vxDve8Y66HvPFhPvuuw//9E//dMfHOcgmUbRL3hTWbgbJ8aLNIAkdUxEbkek9Hg9mZ2c5qk2pRdLMo64TQ0NDsNlsyGazGBkZYX6jy+VioeLOzk4IIThV3dTUBLfbjevXr3Mgo1AoQAiBD33oQzh16tQdX59nuHaaA3Y7+MhHPoJf+qVfwuLiIsxmM9rb26HT6XDp0iVsbW0hGo1yWnFhYQEejwfZbBY3btxgoUqfz8dRsebmZszNzbF4XKVSwezsLHw+H4xGI0+sUqmE9fV1RKNRzM3NQa/Xw+l0svFcXl5mnSPi+ci7jLvlgAE30yVDQ0N1U79+saCpqelI9b1orBVF4Uo1ebdJlY/UWojmjdfrxebmJjteRKaXjRwALC4uIhQKwWQyYXJyEl6vF9FoFFeuXOFoF3GMnE4nGhsbMT4+zgT+XC7HqvBms5mN4NNPP43d3V14vV60traiWq1ymo2I+1QxfOXKFdaiSiQSyGQyvMDXOmPEc/L7/cwf2d7exsrKCubn57l66ihgNpsRDAZVvR8rlQo2NzexsLCAsbExToMqioKGhgbE43Fugj08PMzcQJ/Ph+bmZpjNZq7iFOJmE+7W1lZUKhW+Xna7He3t7djb22NZi0wmg1AoxDSJSCSCaDSKq1evMv/LZrPhypUrMBqNaG5u5hZrmUwGa2trWFlZQSQSwc7ODvf7XF9fR7FYVDliJIQp83Z2dnb2Rd5lOoTMCzsqm3TixAn8x3/8R12O9WJBpVLhTVc9II8XrTe0KSSdwVKpxJtCuQiIqopdLhdH4ZeWlmAwGOB2u7GwsAC/349yuYy1tTXEYjFsbW3xuklSLtTb9caNG0ywn5mZ4fdnMhlOxYfDYWQyGQwNDWFxcREulwuFQgFbW1u4ePEiqtUqotEofud3fgff8z3fU5drdItrpzlgt4MPfehDeOtb38o70aGhIczMzMBgMKCrqwuVSgVPP/00qtUqtxK5ePEiyuUympubIYTA9evXYTAY0NTUhOnpaayuriKZTKJarWJqaooFHEdHR+FyuWC32zEzMwOfz4dqtYrV1VUOyZJIJvHPlpeXeWdB7ULIqJH8wEEk2HpzMEwmE5/Ltzu2trY4YnMnOIhXAXzL2Mkke7nKjFJhdrtdJbBKnEISWpyZmYHL5YLBYGC9r83NTWxsbCCVSmFzcxPLy8uIxWIwGAwYHx+Hy+VCMpnE9evXsbe3x30Zr169Cr1ez5FgSkl2dHTwhmV3dxfhcBiNjY1YWVlhGYlQKISWlhZ2LGiByOVySCaTAICpqSmO1ijf7OVGulp7e3tYWFjA0NCQikxMnCaShqHOEvSglGSxWMTu7i7K5TLK5TKT8elaG41GGI1GVUsiq9XKkTN67O3tccPfyclJVWRHrt7U6/XY2tpSOZBUrRWJRFAulzE+Ps7/o+tTrVZx+fJlLC8vsxaY3W7HlStXsLKywpphOzs7fG0LhQKnJBVFQVtbG7a3tzE0NASLxYJ8Po/h4WFsbW2pSMxy1bbX64XRaMT8/DzL5xCnZnp6GlarFTqdjvvyEeePIq/U3FveGMpzmKJi9Y6GuVwuXtS/3TExMYF0Ol3XdK+sgyevOXIqUo6KAd9qrE02idLtQghudyZXXyeTSSwuLmJ7exuZTIZlcdLpNHZ3dzEzM8M9WIlb2tzcjJ2dHS50o0gw6Vq2t7ejWq3yup1Op5FKpTA7O4vBwUF8/vOfx/d+7/fW7TodBM0Bu0382Z/9GT70oQ+p9ISampoQDAZx/fp1Jt63tbVhcXER169f59L6ubk5TE1NsYr+jRs3sLm5iYaGBuzt7XFUwe/348aNG7BYLIhEIhgdHYXdbofb7eZUEHCzkWg4HMbc3BwsFgsMBgO3i1ldXeXQLu00atORMi+MomLyTrUeeOyxx9Db21uXY70QcVTE1lvJTByWdpTJ0aQIT/PH6XTCYDBgZWUFsVgM6+vrPDdnZ2exvb2NhoYGlm2Ix+OwWCwc7m9sbMTw8DBXKEWjUVy+fJnfF41GcfHiRS4dp16QZCRbWlo4+nb9+nUANx2N5uZmJuCTUKjX60VTUxOcTicbViLnAzclGkh2gkrY5+fnMTY2xm2+ZNjtdng8HjidTpaBMRqNKg0w+b6Q2xCVy2V2QDY2NrC6unpgBRkV4wSDQZb9WFlZwfj4uKoVUSaTQSqVgslkwurqKq5evcpE/Vwux9WKly9fZjmItrY2BINBTExMYGhoCADQ0dHBKZeVlRUEAgGObE1NTcHpdKKpqYmLhXw+HxKJBKeNm5ubOVJI5zwxMQGn0wmPx4OJiQm43W5YLBaOPFClrDynSqUSRzZkm0S8sFqHTE5ZHUU0TFEUjI+PI5FI3PGxXqh45JFH8LrXva5uxyNHWR6v2o4IZJPoJ9kkeTO4vb3NUbn5+Xn4fD7s7e1hY2MDiUQC8/PzKJfLyGazGB0dRbVa5UrfjY0NNDQ0oFwuY2JiAl6vF5lMBleuXMHOzg4aGxtht9tx4cIFVCoVtLW1wWaz4emnn0apVEI8Hkcmk+FiHkVR0NHRAY/Hg/e85z33tApStUt8vj/6+vrEUeKDH/yg0Ov1AoCIxWLi7Nmzoq2tTQAQAERbW5vo7+8XVqtVABCJREL09fUJh8MhAIhUKiW6u7uF0WgUAERzc7OIxWICgAgEAqKpqUkAECaTSTQ2NgqdTieMRqNoaGgQAITZbBbxeFwAEB6Ph48bjUYFAGGz2YTJZBKKovD/nE6nACDsdrsAICwWiwAgDAaDACAUReHvpNPp+LvU6/Ebv/EbRzomz1f8xm/8Rt2vJY0PzR9FUXgczWazAMDjTj9dLpfQ6XTCZDLxHAiFQvwar9fLc4jmbUNDgzAajUKn04mmpiaeM83NzSIYDAoAIhKJiEKhwOfT3d0tkskkz7Vjx46JVColAAir1Sr6+/tFa2srf5eWlhZx5swZkUgk+Lt0dXWJBx54QLS0tPDrPB6POHnypHjZy14muru7+fsCEJlMRpw9e1Y8+OCD4uzZsyKTyaiul16vF9lsVpw8eVK8/OUvF6985SvFK17xCnHu3DnR3d0tEokEX5N6PJxOp0in06K3t1fcd9994hWveIV45StfKR588EFx4sQJkU6nhaIoqvFsbGwU58+fFw8++KA4deoUXw8a02PHjomXvexlor+/n89VURTR0dEhHnjgAR4DACKbzYqzZ8+KbDbLz3V2doq+vj6eM/l8XvT29vJ8yeVyoqOjg+1Ae3u78Pv9bOPy+TzPlcbGRh7PdDrN35nmUzAY5DlEx/B4PGzHaB7ZbDbVT5PJxDaJrg/ZJEVRVNesHo+//Mu/vNfm4Z7gDW94Q91tkjxOtfaJ5gKNs8vlUv10OBzCYrEIRVF4DrndbrZdiURCGI1GodfrRS6X43nU2Ngo9Hq90Ol0oqWlRXg8HgFApNNp0dzczPdOb28vr41er1ecOHFCRCIR/pyBgQGe34qiiM7OTnH27Fm2cSaTSXzmM5858nEB8Kg4xKfRImASPvnJT+Knf/qn0dbWhlKphKeeeoqFUpuamjA1NcVl211dXSiVSrh48SKEEGhra8Pe3h6uX7/OWj/T09NYXFxELBaDw+HgiFlDQwNu3LiBSqWi8vipxNZgMCAQCGBmZkalE0YKwDKhkdIh1OtProwsl8sq2YKj4mC87GUvw5e//OW6HOuFgFe+8pX4m7/5m7oc66DIl/wTAEfAiO9FEU5Z52t9fZ3nh81m4yiLLGZIEio6nY5LtokYPjo6ilKphKamJk6Z+Xw+JJNJXLlyhSMnBoOBU15tbW2wWq3M88rn81yAQvpUnZ2dTMBfXFzkVGUoFMLi4iKefvppTl20trYiHA6jXC5jZGSE03KKoiCTySCZTMJms6mET0lDjOByuRAOh7ki0mw2q0SL9/b2OMIl/wRu7vYNBgNHxahFD6VfqtUqSqUSNjc3sbKygpmZmX1Rt1AohEQiwam8zc1NjI+Pc4QPuCk8S7IeMzMzuHr1Ko9xV1cXPB4PpqamuJo0Foshl8thc3OTr1c6nWatLyrXb29vx+rqKq5fvw69Xo9CocCcM5IOGRoa4oiCoigYHh6G3W7ncTOZTCytQ/IUY2NjsNvtsFqtzPlbX19nxXziGhJBX65+3Nvb21cRKVMkjkKwFQDe+ta34jd/8zfrcqwXApqbmzm6fKeQx4R+l1OQh0XjaezldnsksOp2u5knmUgkMDMzA0VRWArFYrEgHo9zuryhoQGDg4PMpV5cXMTi4iIikQjzrIUQaG1thRACV69eZdsCAE8//TSEEOjo6IDT6cTly5exuroKm82Gzs5OKIqCCxcu4E/+5E/w8pe/vC7X7TBoKcjbxCOPPILf+Z3fwYULFziU3tHRgXK5jCeffBJ7e3uccqEyVrfbzeH/+fl5hEIhNDQ04PLly9jY2EA2mwUADA8Pw+FwIJPJMKeGiMw7OzvIZrOYmppCqVRizTCTyQS32435+Xn4/X6sr6+rKtso7WSz2bCzs6PKyQuJECtXrRzEC6sHqF/Xi7mZt/imPg1JCdQDcnNa+gxasMiJrm2wTXwvGn+fz4e1tTUoigKXy4Xl5WVusLu7u4t0Os1SEfF4HMPDw7BYLEin09xGq6mpCWNjY9jc3EQ2m4Ver8fg4CBsNhva2towNjaG+fl5rsAbHBzE0tISk+vn5+e5H2p3dzfMZjMuXLiAjY0NuN1utLe3A7jJH1taWgIAtLa2cmWwzAcj7pjNZsP6+jpGR0e5fyH9P5VKwe12c0HK6uoqFhcXMTs7q1LKl2Gz2Ti1Rjwvar8DQNUfcm9vj0nph+mKEY0gGAzyuezu7mJ1dRVjY2MssArcbHafTCZZB+n69et8HQKBAOt7jY6Ocsl8JBJBY2MjyuUynnrqKeYbtrW1YWNjQ8VHpUVpc3MT0WgUmUyGRW5JHPbChQvY3d1l+RBK55CIpcFg4HZTQgjuL6koCuLxOGvA2e12LCwsIBgMYnl5GTqdDjab7UCuKsmH0LWpTV8d1aYQAPr6+nCU68XzAbu7u/B4PHUTVwWgGhN5806OGABOI5NTZjAYUCqVVHwvmgcGg4HJ9XNzc9DpdIhEIpiYmIDD4UAgEGBOdCwWw9WrV2Gz2dDQ0MBrZWtrK4rFIsbHx+Hz+ZDL5Xi+J5NJxGIxXLlyhYvZaFM5OTkJq9WK7u5uVCoVPPXUUyiVSvD7/SgUCnjnO9+Jl7zkJXW7dgdBc8BuE9SKyGg0oru7GxaLBZcvX2aiaUdHB9bX13Hx4kUAN7kYFouFI2UtLS0wmUy4cOECFEVBe3s7awSRWu+VK1dQrVbR0tLCPapyuRzm5+exsbGBdDqNhYUF1gwjcUS5ZczKygqrCcv8n8O4FwcZu6MoCdfr9VhcXGQe24sJW1tb8Hg8Kv2p54rD+F4UHajV96rV0iENJqfTib29PZRKJfh8PiwtLSEYDGJjYwM7Ozs8f6h/2tjYGJxOJ+tB2e12NmTVahWFQgEzMzNYXFxENBpFKBTCxYsXUalU0NHRgd3dXZZeaW9vx87ODutUFQoFOBwOXLp0CcViER6Ph6PCZPS8Xi/vUK9du8aVgMlkErlcDjqdDlNTU8y/VBQFjY2NiMVisFgsKBaLmJycxOjoqGqhDofDiMfjLDkBgPlbModrbW3tWS9UxM90Op3sfFitVpZZIOePGmMTdDodcrkc92bc3t7GxMQECzPrdDq0tLRwC6br16+zk5lIJJDP59nxogrIzs5OAMCFCxfYAW9ra8Pa2houXrwInU6H7u5uCCHw1FNPoVqtor29HZVKBVeuXGGZDzpX0k67fPkyjEYj8vk8BgcHUS6XVZvDhoYGTE5OcncHWjiNRiNWVlY48ioT9GttUq10Tq1wJ20Y6x0Now3Ji7GbRz3J9vL1vpXo82FyE+Rwud1ubGxssOjxysoKwuEwlpaWoCgKC/66XC64XC5MTk4iEAggFArh8uXLcDgczFek+ToyMoK1tTVks1nYbDZcvHgRBoMBHR0dWFlZ4Qhae3s7tw9UFAVdXV0wm8146qmnsLOzg0gkgubmZqyvr/P98YlPfAJvetOb7vj6PcO11Ryw28EXvvAFvPvd7+ZS18nJSSiKgs7OTtjtdjz99NPY3NxEJBJBPp/n1ILVakVHRwdmZmaYwErhftqBut1uXL58mduGkIYJEZZXVlaQTqexvr6OlZUVVUVIMpnExMQErFYrrFYrlpeXWaiRWq3s7OzwAk0kyFptHjkVIIeW6+2IvdjI+ZcvX0ZbW1vdjndQxeNB8hJk5GT9t62tLZhMJhgMBhSLRQQCAdaNIwV3eb6Q4yXrfPl8PqTTaTz11FPQ6/XI5/MYGhri6MjGxgYmJyfh8Xi42e3q6ipSqRTi8TiefvppFItFNDQ0IJlMYnBwkNvZ9PT0oFgs4oknnmBhz3w+j2KxiKeeegp7e3scESPyN6VOXC4XWlpa4Ha7sb29jRs3bqgiX5lMBolEAna7HZVKBWtra5ienmadLRnBYBDBYBBOp5N1wChlL19/2sHTuMjyKlQAQdWSpVKJ2xDVpj6pi0A0GoXL5eK2KuPj46oigmQyiYaGBlgsFiwvL7MAK3DTiY3FYpxqpOKajo4O7l+3sLAAk8mE3t5eGAwGPPbYY1w1lkwm+TXUZWBoaAizs7MIhUJIpVLc4qihoQF6vR43btxgXSWKNjQ3N2NiYgLFYlHVkiqbzbIjFo1GWSRTCIGNjQ12xBwOB1eX2mw2FIvFfQ4YzfHDetrWE9TLNBQK1f3Y9wpf/OIX66rgXmuTatONNF40juRY02bQZrNxZbHX6+XN4NraGos+U6GHw+HAzMwMYrEYvF4vLl26BIfDAZ/Px85ZPB7njVihUODodjAYRCqV4iKg1tZW2O12ti35fB7hcBhXrlzh1Hh7eztWVlY4cNLQ0IB0Oo3FxUV87GMfw8mTJ+t2HQ+5thoJ/3bw0EMPMREVgCgUCuL+++9n8q/JZBInTpwQx44dY3JiPp8XJ06cYCJiPp8XfX19TCYuFAoil8sxMbCnp4fJi83NzcLn8zHBkIiK0WiUn08kEkxkJAKvzWYTbrebibH4JiHSYDAIvV7Px6efRMiVyd21ZFh6nn6/08fv/d7vHelY3S383//7f+tObD3o+ut0Ov6dSMs07iaTiUnzRHAlErTT6VSRWhVFERaLhQnzXq+XCztisZjo7e3lOUHz0mw2i56eHj52Pp8XHR0dfH49PT1cQGKxWFSEe51OJ/r6+sTJkyeZhB2LxcT9998v2tvb+Tvncjnxkpe8RBw/fpznocViYRJ6b28vPw/cLGg5f/68eNnLXiYGBgaYbEsPn88nOjs7xX333Sde/vKXiwceeECcPHlSFAoFviee6WEwGITVahUul0u4XC6+h57pfTqdTkQiEdHe3i5Onz4tXvrSl4oHH3xQnD9/XrS3t/N1pEcikRCnT58WDz74oDhz5gwX5tA92t/fL1760peKnp4eFcH55MmT4v777+exVBRF9PT0iPvuu4+/o9PpFKdPnxadnZ18zPb2dtHb28vfpampicdCp9OJ7u5uJtkHAgHR1dUl9Hq90Ov1olAo8HzK5XJsh1KpFD+fyWSEwWAQBoOBx8XtdrO9oXNzu91MrDabzTyX5TkuE/PpfGuLhepll/7u7/7uXpuTuuCnfuqn6mqL6HfZFtHz8r1K8xK4uQbp9XphNBr3FWb4fD5+jmyPw+HguZJIJLi4zeFwiEAgIACIcDjMJHun0ym6urp4nrS0tHDxDtkgWpfdbrc4efIkz2mz2czrNM2lpqYmcf/996sKWNra2sRf/dVfHfl4QSPh3x7e//734+1vfztyuRxSqRTm5+eZcEwNdCkl6fF4OMV45coVJtAuLS0x6bWtrQ0TExOYnZ1FLBZDIBDAxYsXWaNnfHwcq6uryGaz2NrawuzsLKLRKBRFwfT0NMLhMHZ3d7GysoJ4PM7iktRL0uFwALipCE6RENqZmM1mJhhTZEXe2VDD1IMIl/XCD/7gD+Lhhx+u2/HuNt7whjfg05/+dN2OJ1/fWl5ebQ814u+RECmldOgn8ZiokwI1TQ8Gg5iamoLX64XNZsPU1BSSySQCgQCeeOIJWK1W+P1+jl5kMhlcvnyZ04zz8/O80yQC/vb2NrLZLHw+H+80c7kcgsEgrly5wtyflpYWVa/H1tZWRCIRjI+Ps4RCNptFJpNBsVjExYsXUSwWoSgKWltbEY1GUS6XMTY2xv3aDAYDcrkcIpEITCYTFwhMTEyo5qrP50M4HIbH4+H+ckIIjl7t7OygWCxic3MTOzs7rAVGfC/gZnk9RRdJg8/hcMBms8FiscBsNnMUrVwuo1gssjK+3IZIr9dz6yDq4zo9PY3h4WGOdlLBgk6nw/j4OIv4ejweFAoFmM1mXL9+naN7lK6cmJhQtVVxOBy4ePEi2wBSuSdifmdnJ+bm5jAyMsKR+cHBQY5oOhwOXL58GRaLBc3NzRgcHMTW1haampqwtLSEpaUlJJNJbG1t8e8rKyvY3NzkHqJ6vR4+n49bHlH/zFqCPjXylqPvVGxSq2l4VLywn//5n8d73vOeuh3vbmNgYABf//rX63a8WxUBkUyLHJ3U6/XQ6XTY3d1lLqqcfqT7ggR87XY7XC4XZmZmEI/H4XQ6cfXqVZU0TjabhcFgwPXr1+H1ehGLxXDp0iXuojE2NsYahZFIBBcvXmTKj81mw5NPPolqtYrOzk44HA489dRTKBaLnKmamZlh8fDu7m54vV4MDg5iYmICn/nMZ+oq23HINdZSkLeDv/zLv8Rv/dZvYW1tjQc1kUhwKyKqtOjp6YHZbMYTTzzBKcJEIoGLFy9iY2MDmUwGwWAQFy5cwM7ODpqbmwHc5L3Y7XY2gpubm8jn89jY2MDc3JxKBDMQCMBkMmF6ehqhUIi1hWKxGBYXF1Eul1lbSW7kTcbuoDQkNe6WSbAHpSXriebmZtaDeiGhUCgwv+lOUMutoN9vl1tBDpfT6USxWIRer4fVamWy6fz8PHQ6HYLBIAtpWq1WTE9Pc7/SixcvwmazwWazYXFxEcFgEF6vF9evX4fVakVzczPr1rW2trKYqtVqRVdXF/dfdDqd6OrqYmfCbreju7sbOzs7ePzxx7kqKRwOs7YX8ZKolxs5D+l0GtlsFpVKRcV/otY7RMAnhXe6fuTY2Gw2VCoVrK+vY2ZmBtPT0/sWanI2ibdFvRxlIvFBrYjosyqVCkqlEra3t5lLtri4uE90V1EUpFIphMNhOBwO6PV65qvJ1Y9+vx+NjY28Sbp+/TqnMlOpFBfsUBUpzUMaZ2qtks/nOc1M1Yq9vb1QFAWPP/44L05+vx+PP/44tre30dLSArvdzqnhnp4erK+vY2hoCF6vF+l0GpcvX+Y09OzsLNMidnZ22D7t7u5icXER8Xgc6+vrrOM0PT0Ng8EAj8eD+fl5VSs1mq9km+j711bTyQrr8kax3jbpJS95Cb7yla/U9ZhHjWq1ykUPd4pn4nvVFkrQT1pLarUHHQ4HFEXh9kJzc3Nc8EKpRrvdjsHBQbhcLiiKgrW1NTQ2NqJarWJoaAh+vx8OhwNjY2Nwu928MSyXy+jo6MDm5iYXslFgY3p6mjd+Q0NDrE/X2dmJ5eVlXLlyhSlE1P9xfn6eOd42mw2/9mu/hoGBgTu+ps9wvTUH7Hbw4Q9/GG9/+9tZeqJQKGB7extPPvkkdnd30dDQwCXaU1NTsNls6OrqwsbGBhMDe3p6sLGxwSTCjo4OTE9Pc0QrFoupBOPm5+cxPz/PZeljY2Pw+XxwOp38u9VqxdTUFILBIMrlMjtiCwsLKnE7j8eDzc1NVKtVOJ1OVbPcWoL+QSrVR0XQp6biL4QKSdq5k0BmPSFf11ojR8attoea3NeRBC9DoRBWVlZQqVQQCoW4vZXFYsH09PS+naZer8fq6ioTdsfHxxEMBhGJRFg1nSIl09PTiEQiSKVSuHjxIkdDPB4PnnjiCezt7aFQKHA0jMRZ8/k8xsbGMDY2xpWQRMpfXFzkbhJutxsTExMc8SGuktlsxuTkJPPBZAI+nf/IyIhqAfJ4PIjH4/D7/ap2QKurq1hbW+ONSj1hMpng9/vhdrvh9Xq5DRJFiKiwhhAKhZDJZOByubC3t7ePiE9Rwq2tLVy+fJmdTXK8FhYWcOHCBQghEI1G0dzcjNXVVTz11FMQQqCxsZGLe4gL2N7ejunpaRbS7ezsxOzsLFeakcNNXFO3242LFy/CZDKhtbUVo6OjTHqm6F00GgUAzMzMIBKJoFKpYGFhAbFYDBsbGxyJJfkRh8PBVbIkT6EoiiqaK0fr5dZqB20K6x0JoyzCCwEkalpPftxBmQ+67rVthWicyPFyuVzY2NhQdWqRCzE8Hg/PE5vNhuHhYXg8HlSrVayvr6OxsRE7OzuYmJhAKBRCtVpluSa3240rV67AYrGgra2N7/lMJgOv18syLB0dHTAYDHjyyScBAL29vTCbzXj00UdZEiedTuPatWuYnJyEzWZDd3c3FEXB008/zcGJhx56CD/wAz9Qt+t6EDQH7DbxiU98Am9729vQ2dmJarXKoUy3243Ozk6ungDASroXLlzA6uoqEokE0uk0l9OnUil2torFIqt+U7i/UChgaGgIa2tryOVy3Hw4Go3C4XBgcHCQjfzo6KgqpRQIBFAul7lv2/z8PBRFgcfj2dfI22QyoVgs7lvga6uRDgv711OlmsjBz1eQqni9d9wHSU3U9ngkY0cpK9KfkqOafr8fGxsbKJfL7HhRL0IK8ZOCvdvthhAC6+vrqoU0Ho/DarXixo0bcDqdyOVyuHbtGra3t1EoFFCpVHDt2jVYrVa0tbVhdnYWk5OTcLvdaG1t5ebSDocDnZ2dTBgHgO7ubm7PtbKywkZPr9fzfULVS16vl1P8QghYrVYUCgVOYcnRIYvFwlILpK01NTW1bwF1Op2IxWLweDwwm80qwn25XMb29ja2t7c5/Uhq93IKkuQp9Ho9zGYzpx8p9Si+qQe2u7uL5eVlbmotg4oVrFYrR4yGhob4c8LhMHK5HKxWK5aWljjyRE3KfT4fFhYWWGOQ2hPt7OzwZjAcDrM+0uXLl6EoCnp7e2E0GvHEE0+gVCohk8kgHA7jwoUL3H6IbBY50jTeLpcL+Xwely9fxs7ODrd0oc2hEIIXTKPRyBtCAFhYWEAkEsHm5iY2Nze5bZHcP5LSVNROqlKpwGazqSokZfkV0pOqTdnXE2Qbn8/tiy5cuMDVr/XEQQ7YYYR7+mmz2bC7uwshBJxOJ1ZXVxEIBLC8vAyDwQCfz4fZ2VmEw2FYrVaMjo7C4/GgUqlgY2MDTU1NWF9fx+zsLCKRCLa3t3n9I+qBz+dDKpXCpUuXsLe3h87OTmxsbGBkZAQejwctLS0YGRnhPspUQERRV+pSQ9mq7u5u1iokR7azsxN7e3t44okn8IUvfAH/5b/8l7pfXxmaA3ab+NznPoff+Z3fwaVLl7C8vAyLxcILyJNPPsk90RobG3knS1GvUqmEp59+Gnq9Hr29vdje3sbFixdZtJUWslAohGQyyZo8hUIBy8vLmJ2dRSKRgNFoxMjICHw+H/x+PwYHB+F0OuH3+zE6Ogq32w2Hw4GpqSlVA9NIJIK5uTkYDIYDG3kDUElS0IJPNxtxZo6ykTcA/Mu//MuRt354LvjGN76B/v7+uh3vIG4FpVboOQr3009qg2M2m1UNtd1uN3Z2dlAqlRCJRDA7Owu32w2r1cr8Qkpde71e7O3tcXqb9LHS6TSq1SomJiYQjUYRDAbx9NNPw2Qyoa+vD1NTUxgfH0c8HkcikcCTTz6JUqmEjo4OWK1WPPbYY6hUKujs7ITNZlMt8qlUiishHQ4Hurq6UK1W8eSTT/L3aGtrgxACFy9eZEesUCggEAiwjAKl9hoaGpBIJFjW5Pr166ztZTabkclkOOq1t7eHpaUlTE5OqnhYBKvVyj1Xqa+jvOCSswV8KwVJY0ROG3HH1tbWDtQY83q9SCQS8Pl80Ov12N7exvz8PMbHx9npolSv1+vF7u4uxsfHMTExAeBmhLitrQ12ux3z8/O4fPkyhBAIBoNobW1FuVzmVk8ulwudnZ2sTbizs8OirDdu3MD09DQ7xysrKyw/0dvbi5WVFVy9epUlLWjhSqVS8Pv9ePLJJ2EwGNDZ2ck6ZnIrtXA4DIvFgrGxMfj9fthsNkxMTHDPy/n5eYTDYWxubu7rH2kwGFTtaeSUul6vV4lIy3qGchu1em8KCRSteb7h4Ycfxutf//q6HpOunbwpJC4eOb5yayGKSJLos8fjYZ0v0h4MBAJcaWs2mzExMcH9cYvFoopPGI/Hsbq6ys8vLy9jcXERqVQKFosF169fh81m4wAFccQoAg+A7Quttz09PSzZQjQIn8+HixcvYm1tjeVaSqUSnnzySabvtLS04B3veAfuv//+ul7jA665VgV5O3jXu97FVSC9vb3i/Pnz3NrAarWKU6dOqSogm5ubxblz57hSKB6PizNnzqgqGE+ePMktRlpaWrgayWKxiL6+Pn5tLpfjKo5gMMhVZ3KLEJvNxm2LXC4XV5j4fD6uigyHw1wJQs/RZ9hsNmEwGLjiTqfTcRUS/Q2pGuaoKiR//dd//UjH8dniox/9aN2+m/yorXSkKi/52ut0Oq5SpXlC7YOcTidXE9E8dDqdPMaxWIwr6vx+P1fiNjY2cvuOXC7H1bVyKw+PxyPOnz/PFUi5XI4rG6kCj+aj1+sVp0+fVrX9OHv2rKoS8tixY6pKyFAoJO677z7R19fH8yoQCIgzZ86I06dP8/kBN6su77vvPnH69GlVBaPD4RCdnZ3i3Llz4syZM9y+S76+8Xhc9PT0iPPnz4v77rtPDAwMiLa2NpFOp/dVI9bj4fV6RSaTEe3t7eLkyZPivvvu49ZHNEb0MBqNoqWlRZw9e1acO3dOtLW18fWh8Tt79qw4f/68qs0SXadTp07xPWw0GsXx48fFmTNn+DmHwyFOnz4turq6+L1dXV3i9OnTXLGYTqdVNqixsVGcOHGCq9u6urrYvrhcLtHT08Pn2NHRwfMrFoux7fH5fHy+Xq+X54nH4+G5FgqFeD7KrdRoPtN3oDGSq7iNRuO+yki5OrXerYsAiK9+9av32gyp8BM/8RN1t0N0r8o2SafTcdUjXXcaB7minmySx+PhimyyQ4FAgOeJz+fjcW9qauJxTiaTPK9aWlp43Jubm3n+hEIhrt5VFEUcP36cqyXdbrc4ffo0f2Y0GhXnzp1TtU6TqxwtFos4c+aMGBgY4LmTTCb5PqTr8clPfvLIxxJaFeTt4XOf+xze+c53snYSVWLVphv9fj+HOi9fvgydToe+vj7s7u7iqaee4r8pKmYymdDd3Y3p6WneSaZSKSbpt7e3Y3l5mVNEdrsd169fZz2Uq1evwmg0IpVKYWhoCGazmRt5OxwOuN1uTE1NqRqcyjn52t2nw+Hg3acchamtRpKV8+uN17zmNfjzP//zIzn2s8Gb3vQmfPKTn6zb8Q7S+DqM3EppYOJYEDfGarVCURRsbW1xxIuq8ebn5xGNRlGpVLiZMgmvUrss2l3Oz89jdXUV+Xyeoy6kEk36Uc3NzVheXmY+TywW49ZC1NT28ccfR6VSQVdXF6e4qEVIOBzGpUuXsLS0BJ/Ph66uLmxubvJ70uk0GhoasLy8zFymYDCIlpYWVKtVlTJ+JBLhiqjZ2VlVa5VIJMItvfb29rgBtzw/DQYDawsR2Z6ijpVKhVOQe3t7nIKUqyCpApLU8U0mE5P3ZeJ+pVLBzs4OlpaWMDMzo0pZyxE6vV7PivMk0qrX69Hc3IxgMIhSqYQbN27w/8LhMJqamlCtVpnKQBEph8PBES6DwcBC0TIPr7Gxke2W2WxGd3c3NjY2cPnyZZjNZvT09GBpaUnV4WB0dBQLCwtIJpPw+/2cTi4UCpiamsLKygoaGhpQrVYxNjaGQCDAVWQOhwPBYBAjIyNwOp3w+XxMojabzTw/Nzc3sb29rZrLu7u73EaLuiXInFWySbXRGdkm1TsS9qu/+qv4uZ/7ubod77ni7Nmz+NrXvla3492q0pGqr+lv6lhwUBFQqVTC3t4egsEgN9Q2mUyYnZ2F3+/H1tYWtre3VXYolUphZmaG7cXo6Ci2t7fR1taGpaUlzM7OIpVKwWazMWf12LFjGB4extjYGCKRCMLhMAtCd3V1QVEUPPnkkyrh4SeffBJCCLS3t8Pj8eDpp5/G+vo6R5GXlpZY0aClpQWRSARTU1N46KGHcPbs2bpd60Ouv5aCvB38wR/8Ad73vvdx9Vs+n0c8Hsfk5CSGhoY4vajX6zkFk06nWRhuaWkJsVgM2WwWV65c4b/J2SoWiygUCsyJIaLh8PAwVlZWkM/nUalUMDIyAr/fj3A4zJwxEkoEwD3gaMEZHR2FzWaDx+PhSrhyuazqxWWz2SCEUJFgyfgdVo0kp87qzYsCwG1P7hX6+vrw+OOP1/WYB1U61ob2a6uJZFKr0WhEsVhkB5pSZ8SzoZRbOBzmVkOkWk79GklEU3aucrkcAoEAvvGNb0Cv1yOXy2FkZASlUgnd3d0AgCeffJILS0jqwev1olAoYGRkBNPT02zQpqencePGDe73KMRN9fVyuYxEIoFMJoPZ2VmuemxpaeG5SFWxfr8fzc3N0Ol0GB4e5so/4qZRmmp4eJjbFAFAPB5HOBzmSsiVlRVMT08fmoJ0Op1cCUlOFvHDZOFVALwzpT6RVAVJavoHtSWi0nm32w2dTofNzU3Mzs6qRGT9fj8aGhqYtHzjxg3mjqVSKWQyGezu7uLy5ctcsFIoFOD1eplQD4DTtsPDw5icnGRRVuK0VKtVlsx5+umnsba2xpWjxGmlufDEE09gd3eX+9rSAtjS0sJtXlpaWrC5ucn0CZfLhRs3bsDlcnFLNovFglgsxpWxwWCQCf8WiwXz8/MIBAIsASILtu7s7KBarcJqtaqKT+innJaUN4W1zle9nLFXvvKV+NKXvnTHx3muiEajqnlTL9D1OWwzSNdZtknr6+uw2WyoVqvY2dnh+9fj8cBoNGJhYQGBQAAbGxsolUpMzSmVSixRQh0hhoeHUS6XuYKxdmMYi8XQ1taGRx99dJ/T7/V60dLSwu27aKNG/R2j0SivJbOzs5xiX19fV8lIUQcQOq/29nb86q/+Kl71qlfV/XrXXHstBXk7+NVf/VUB3EzjnT17VnR2dnL4NpfLiXPnznEI1Ol0ijNnznD4X6fTiePHj4vu7m7++9ixYyyQSOJwlDYMh8Oiv7+f009dXV0cxo3H45zesdvtor29ncPCLS0tLGrY0NDAgoiUErBYLKpUEaUiKNVkt9tZ3I7CwE6nUwBqAVD5bzntUyuSeKcPm80mqtXqkY7rQaC0bL0ecpi/Nn1CY0zXldJBJGao1+t5nGRhXRI2DIfDHMqPRqOcAsjn86p5YTKZhKIoorW1lce0vb2d56DdbhdNTU2cbjh79iynn4LBoOjv71eln/r7+zlV0dXVJY4dO8bfrb29XZw6dYq/C6XfZaHD9vZ2ce7cOZ7XOp1OdHR0iLNnz7IILL6Z1ujv7xdnzpxRpeL0er3I5XJiYGBAnDx5UuTzeVVanK4HneuJEydEd3e3yOfznDI5ikcgEBCNjY2ip6dHnDhxQvT394v29na2DfQwmUyiublZnDx5koUj5XnS2Ngozp49K/r6+vg6AjfTMmfOnGEbANwUPz1//jyLUQI3Uzky5cHv94tz585xmtloNIoTJ06IQqHA8/DkyZMqesPAwADbhkwmwyljg8Eg+vr6+H/ZbJbf53a7+TMsFotoaWlhwVVKU1osFh5Lh8PBqUm/38/2SxaTJVpEbTqebBTNS7I/slhovR+pVOqu26O9vT22t0dhk+i+odQzfRalC8n+0E+z2czpR5oDLpeLbVIwGORj5HI5tkOUTrRYLKK5uVnodDphMplER0cHf1ZrayuPfWNjo7jvvvtUgqs0n/P5vDhz5gz/r6+vT/T09PD3OXHiBAtL0/p76tQpnivZbFY88MADbGv0er3o7e0Vp0+fZvvwh3/4h0c+trhFCvKeO1XP5nHUDtif/umfiv7+fnH8+HEeRJ/PJ06dOqXKGxPPgha5aDQqzpw5wxO19u9EIiEGBgZ4Qre3t7PSOKmBEyemubmZJ4zP5xMdHR1s3GQOSWNjIxupdDrNizIZPbPZzJwUj8fDr6XJ7XA4mINENx29hm5S+nkQ/6Kexk9RFFEsFo90bAm7u7v7FvGjMna1DpjcmYB4DjSHaK6YzWY2DpFIhMcmFouxs5bNZllVvLm5Wej1emEwGNgJAyB6e3vZGfL7/Sru4Pnz53lBbGho4E0DbRJkFX1ZuT0QCIj77ruPj2W328WZM2fYKNK9cfbsWZ5nZrOZlfJpjhsMBtHd3S1Onz6tcrgcDofo7u4Wp06dYuNN/wsGg6Krq0ucOHFCdHR07HN26HwbGhpEe3u76OvrE/39/aKnp0e0tLSIdDotIpGI8Hg8PB63etA4RCIRkU6nRWtrq+jt7RXHjx8XfX19oq2tTWQyGXaM5UcsFhOdnZ2iv79fdHR0qPhuRqNRFAoFVq+nOSEvOO3t7fzdg8GgOHXqlOju7ub5FIlExPnz5/dx8E6cOMHjT8ei88tkMuL06dN8j+fzedHf38/zsK+vj51xt9stent7VfaKunDEYjHmsVqtVtHa2srzr6mpie1QNptlu0WLst1u53nn8/n4tTT36V4wGo18XrUOGf19WDePej3MZrOoVCp3xSYtLCwcmS2qvUY0P2o3hVarlTdmdK3lbhtkk4LBIK8b8hinUikep3w+L4Cbzl1bWxs7Z21tbWzPuru7RX9/P59Ta2srn9uxY8dEX18fn9/x48f5fg+Hw+LMmTN8btFoVJw9e5bXOlLFp42Koiiivb1dDAwM8PxyuVzi5MmToq+vT/zrv/7rkY8vNAfs9vC7v/u7PLAmk0kcO3ZMDAwM8KShwSaDYjKZxMDAAC9giqKIY8eO8YJEho2cN5vNpmqrEo1GuTWLoiiiu7ub/5dMJtnQ2Ww20dnZyTeNHOHIZrP8ezKZ5Nek02kmVNLk9Xg8vAuRid60+6SbkV5T64AddGPX83H9+vUjHd+pqam6n/OtIl+1bVeMRqPQ6/Uqx8vr9bLho8UyEonwGMRiMXa2yFmx2Wy8WFosFlVU6/jx47zIxWIxNkxE+Kbjtre3s6H0+XxiYGCADW9bW5sq+tXZ2Sl6e3v5+7W1tYmBgQGeL6lUSpw7d44XaYvFIk6cOCGOHz/O393r9Yr+/n7R3d3N7zObzaK7u1ucPHmSnT5aDOgcmpubVcR1s9ksGhsbRW9v7zNGu1wul0gkEqK5uVl0dnaKrq4u0dHRwb93d3eLjo4OUSgURKFQEJ2dnaK7u5tfR6/t7OwUTU1NIh6P87jVPgKBgGhqahI9PT3s/MobF7vdLlpbW0V/f7/KUQZuOsGnT58WHR0d/B673S76+vrEsWPH+DPtdrs4efKkOHbsGL+OIvNykcbp06fZ5hwWBaP54/F4VM5xU1MTt3AxGAyiq6uLnemGhgbV5rC7u5s3Bc3NzWx78vk8/05Rer1ez4u0zWbjOer1enlBp8+h72s2m/l+qY3cyG2rjtImra+vH6lN+rd/+7cjtUnkyNdeP7qnqN2ZTLincbDb7aqWd7ROyJt8uufdbjc/73K5eHNgsVhEoVBgZ3tgYID/53a72QZZLBZx7tw5/jsQCPD8Am5u7CiSr9frVesqtUOTWw+1traKgYEBntfkdPX09PAxI5GI+MIXvnCk4yuE5oDdNj7wgQ+wETp58iQbNYPBwI4VDV5TU5Mq/H9QFOzs2bP8dzqdFidOnGDD1NnZyRPIbreL/v5+Dre3tLSoohc9PT1sxNrb29khbGxsZIcxkUjwQhSLxfhmSqVSbEzJ6Ml922iC0uJrMBj4ZqVzpZv2oJ1mvY3e5z//+SMZ26985StHYuRuJ8wvO150ncmwmUwmHvdwOMzXnKJOVquVFy6n08nRJ4fDwcbKbreL48eP87xoaGhQLaj9/f28iPX19fE8SKVSoq+vjx3148ePqyof5T6E4XBYnD59WjWHBgYGeCHX6XSiq6tL9Pb28vcOhULi1KlTqlRaMpkUJ06cYKcRuLkgd3V1ib6+PlWfRLPZLFpbW8WxY8dES0sLfz96+P1+0draKjo7O0WhUBANDQ3PmFq22+3C5/OJYDAoIpGIiMfjIplMimQyKeLxuIhEIiIYDAqv18vO6mHjHwgERDabFW1tbaKzs1M0Nzerol10nQqFgjh27Jhobm7e1+/y2LFjor29nced+jH29/fzZkxRFNHR0SFOnjzJ97jdbhfHjh1jxwoAv4/mWDKZFKdPn+a5Ro6ebD8o5ajX68WxY8d4EQ0EAmJgYECVNqLFNhwOqypmZadajsw3NDSoovSUIqc5ZbFYOBXl8XjYmaNrKEfEah0xuYrvqGwRPR577LEjsUkf/vCHj8QmydeldjMob37ovpezPTSmNG7BYJCvu+xA09ro8/l4Xvj9fnbQXS6Xqnfj6dOn+d4Oh8P8ezAYFC95yUt4HmQyGX6fw+FQReBpE0nnmUwmxfnz5/m9oVBInDt3TrVRPXnypOju7uZrk0qlxKlTp9iOPvLII0cytjKgOWC3h0ceeYR33TSRc7mcOHnyJA+yy+USp06dUoU4e3p6VFEwOVdNUTF5Up08eZKjUolEQvT19bHx6e3t5cmdTCZV0bOenh42iLWNvOk94XBY1dxUbtRMO02Ze0GGn4yexWJRlSWTAZR/HkXIX378xE/8RF3H9d3vfveRnu9hxs5kMvHCUevwWiwWXmCCwSC/jsbR4XAwX1BuqO3z+dhJ8vl87JzrdDrR1NTExrSnp4fnjsvlEseOHVNFv2g+kiNF59Xe3i4efPBBnjetra3spNHcPn78uGqneerUKZUTeerUKRUXjKQP6LspiiKamppUDh99H4o+yY6U0WgUuVxOdHd3i5aWln1pP4PBIGKxmGhqahKFQkG0tLSITCbD0ZV6jbPRaOR0bmtrqygUCqKpqUlEIpF994TP5xOtra2iu7tbNDQ0qP4fCoU4siZ/l1wuJ/r7+1X8OHJYacEAvrVBlLlfp0+fZoecIvMUMaAoGDlNZrNZDAwM8DEDgYA4efIkz8eWlhbmtlImQHbayel2Op2ira2NbVdXV5cq5UlzKplMqqL0tY2azWazqoE3jZkc+aNxPswRO+ro/Mc+9rG62qTXvva1d8Um1aYc6afBYNhn+x0OB9sPWp9MJhOPk9PpVK0t9JpIJHKgE0bpQBrHTCbDc7axsVGcP3+ez6GtrY2PEYlE9lF2aD0liSjKDlE0jNZfev3JkydVWYRTp06x46/T6UR7e7s4duyY+Md//Me6jutBgOaA3R5+67d+ixcel8vFOiR0Q7e2torjx4/zwBLxmCZiKBRSaRlFIhGV5lE+n1fpknR3d7NRdDqdKjJuW1sbL2K0MMmGjiZyJpPhhU2+EXw+H5+X3+/nBZJI3IqisFE1m838neh1JpNpn0Nxq91nvR/9/f11GdOXv/zlR3aOtSlH2VFVFEWl8UVzwGq1smGh6KXRaFRxGGjcgsEgj5G8a4xEIhz5kMmuBoNB9Pf3q/g6tPujKC5FVRKJhDh+/DhzbUifi75PV1cXv5Z0qegc6W9ynqxWK3Oz6NpQuk3Weeru7lal0ik9UcuTikQiorOzU7S0tKiiUMQnKhQKIp/P8/WTHzabTUSjUZHNZkU+n2d9vWg0yhpGtzu+xAOLxWIik8mIXC4n8vm8aGhoEJFIRJUapUcwGBSNjY2itbVVJJNJlePldDpFa2ur6OjoUJ17IBAQXV1dqtQkbbg6Ojr4OUoVy1HHnp4ecezYMf5eTU1N4vTp03zdU6mUKgqWyWTEqVOnVA42EZmNRqPo7+9XRT3lwozOzk6VTSoUCuwMFQoFnteFQkGVBqdFOxKJqKL0ZOui0SinweT0F80TmYhP99VB2nryPXkUjx/+4R+ui02SHex6P2p1vmqzGUajkeeTzImi19E9brFYeNy8Xi/fn/F4nMcwkUjwa2KxGNudUCjEaXLaGNJ93NPTI44fP87n1NPTw3Mzn8+zY2U2m1VR4FAopNItpHks87AHBgZUgZKBgQHelOj1etHZ2Sn6+vr4XNxut/jjP/7juozprQDNAbs9fPCDHxTAt0LzdOM7HA5x7Ngx3jFShVBXVxdP+M7OTtHT08MGgLggZFiOHz/OxovIzfJkIoFXnU4nOjs7VSFZmfTa3d2tSgvIizKFiImMTOdOk9jj8bCB83q9qioXOk/6zvKus3YXdbeMntfrvaPxlNNZR2nkah1VqkyVjRxVPALqSkeaAx6Phw1bOBxWRQ/oNalUisfV4/GoUpAnTpxgQ9bY2KgS1+zv7+cFt1AocGTM4XCIBx54QCXOWigU+Dw7OjpUkd2uri6ei3Ssnp4eNt7JZFL09vaq7pve3l4+F5qnvb29PFfp+7a3t4tMJsPXllJVra2tIpVKqSJZlJZtbGw8VHBVp9MJj8cjotGoSCaTIp1Oi3Q6zanGaDQqwuGwCAaDwufzcVoyHA6LaDTKqUn5fZFIRLhcrgPnOwm0NjY2qriYNC8ymYzqfqXFMJvNivb2dpVDls1mRU9PDz+nKIpoaWkRPT09Kue9r69PJRR97NgxrlTU6XSiu7ubHXWKFFDks7bgIhwOqwRbKa1Kx+7v7+fzyWaz7GybzWbR1tbG37e5uZnnYTab5UU5EAjwufr9flU1Hd0joVCI5xLNeaPRyN+Zxpn4RPS7fA8e5aaQ5vydQC66OEqbdBCNhKLYMg2C1hy5OEuOZtPYpFIptiGZTIafb2hoYHuWSqXYttDGkIIG8saBIve0Ue3o6FCpA8jzsKenR9x33338fajamb6jHNk1GAyit7dXdHV18T3a1NQk+vr6eBPh9/tVqXYtBfk8csA+/elPi46ODtUOJZfLid7eXtVu7cSJE2wg3G63OHHihEqR/NSpU6qoWG14n1I6VEpLE9Pr9YqTJ0/yDZDP53mhCgQCnG6iSUtGLJPJsHPn8Xj4d7kixWKx8CS3Wq18fjabTaVKTYasNiVJN7F8c9c6YEfhiOl0uudUjfRsIh23+6Dvd6uUI/2fbngaS4PBoDJy5EQHg0F+bTKZ5HmWzWb5vblcThXul+dEX18fG7LOzk52tkkhnqIFfX19qsjYAw88oOJSyFWSsnQERXFprsXjcXHq1CmeH8FgUJVePMjpyufzoqurS1Vl29TUxJIqdH2y2axoaWlRRcMcDofIZrMim83u41c5HA6RSCREOp0WoVDo0OpGo9EoXC6XCAaDIhaLiXg8zgUK9PdBz0WjUREIBITT6Tw0lWmxWEQ4HBbpdFrE4/F9vDGfz8dRM3nxDQQCnCql+WS32zm6R/eW2+0WPT09qmrR1tZWlTOWTCZFf3+/ijB96tQpXhij0aiq9J54MPR+Kjag7zMwMKDi3fT39/PcppSqPP/of7LzlclkVKrlZJOcTifPQ5fLxfPV4XDwfHS5XKqqbaJEkANA1/ggmkStI3YUNsnhcDxre7S7u1v385C/X61toutBtkXm9sqOrFzxSPMhGo3ymCaTSf69oaGB77GmpibVOiXTIujet9vtqnmYSqV4Q0DBBBrTtrY2cfz4cY7Wnzt3jiOzNptN3HfffaqioePHj/Oamk6nVdzHg9bovr4+tpuKoojm5mbR1tYm/uEf/uFZj+WzBTQH7PbwW7/1W2ykLBaL6OzsVC0khUJBVSLe3Nwsjh07pqpO7O3tVVVuUASBvHW53ZDMnWlubuYIWm0qIBQK8c7WarWKvr4+nnyNjY2q0K9MfMzn81xBl8vleDeSTqfZqJEBNBgMfKNYLJZ9mlVySbhMGD4Ko3LQY2Nj47bGcGdn566dE80DeZdJz9H4WCwWVTsPumaxWIzbgFChBMmIkKHM5/OqnSaldeQKWYvFInp6etiQtbS0cESLol80x9rb28Xp06fZiZc1dxoaGsS5c+d4cWtra1Np7Mi8C4oA026XSr1lsn1DQ4Po6OhQOaKdnZ2qasdYLCZaW1tVfK9gMCjy+bxKZoLanqTT6X0ke71eLwKBgEgkEiIcDt+SOE+VXlRW7/P5OBpDD5/PJzweD/NhbhVRcTgcTOT3+/37XhsIBEQ6nWYiMz0fjUb3VW+GQiHR2trKYyxfQ7oHnU6n6hrSdZe1wcjm0OdR2pe+f39/v0pjUC42IrkcGrOuri5VodCJEyf4nBsbGzkKRtE3cpBTqRR/D5LxAG5u6mT9MHreaDTydzIYDGyTTCaTipBfq19IbYvotfT+u3HvK4oiyuXybdmk8fHxIz8X+lnrgMmyHWQj5GsZCoX4PTRmJpOJ1xSTySSy2SxLjchVya2traoiMHljKKeu29ra+H8kJ0Mbw4GBAZ6/Ho9HPPDAAzwX4vG4uO+++9ipT6VSKp7j8ePHOVhis9lEf38/O/pGo1F0dXWpIsLUCpCuTTAY1FKQz+Zx1A7Yr/zKrwjg5m5AJgJbLBaVUKrFYhG9vb28KyWiKk0yIh+SIQmHw6oy/0KhcKhjRq+VCdNkBK1Wq2hpaeEFVO4/F41G2Vl0OBwq/RW5LDyRSLBDIPMwAoEAGy95kZN70dVW0shiiEe546THM1UjXbt27cg+uzbELxs7mV9BN7fb7eZrQY6tzPWyWq38u91u57lDjjM5ZK2traqdJs05v98vOjs7OYUgS5jE43Eu7KDSb1os7Xa7aGtrU4kbEifDaDSKnp4eFQdNTm3G43HR29uritjJelGJREL09vayoff5fKK9vZ3nE81FmVDucDhELpdT9YC02WwilUqpniMDHYvF9kXCdDqdcLvdIhAICK/X+4zRT5Jcsdvtwm63C5vNJmw2G/9N8ge3OgbxwwKBwIFpSZ/PJ6LR6L70aDgcVvXFA246Kdlslq+jTqcTuVxONDQ08HFDoZBoa2vj47lcLtHb28uLJhVa1EYi6f+0KMqLmSwT0tnZuc8xo3mQTqdVfMGenh5V6lLmoHV1danSjrJNlKVTKMpHelJy9S+dUzQa5XGgaIZOp9snUyHbJNkBk0Vbj8ouLC8v39Imfe5znzuyz67V+KICBdkmyZtCmjs6nY4daZvNxven2+1WFUPQemez2djuGI1GlRPW2NjI70kmk+zsm0wm0dPTw5/T0NDAzjdVN9JczWQy4r777uO1qLOzUwwMDLANlAtvUqmUOHHiBK+PuVxunzpBd3c3z8dUKqVyukKhkOjo6OBr8YlPfKKeLsSBgOaA3R4+/vGPc7SJjEAgEFBJP4RCIdHd3a3iLcgpymw2y2kh4Kb3L/MlZDX8aDR6S97FwMCAqiKSjCBNfDqnpqYmVflva2sr7zCam5vZsKfTaRWxknYvbrebf7fZbCrCuKzaTjeyvHgc1Cz3KB+/9mu/duDY/f7v//5d+Xz5+8qpIzKAZBisVqsq+iPrr9HNHwqF2Hj5/X6VmCHxJyhcToYsmUzyro60omRCdW0JNzllkUiEF0Cr1SrOnz+v4mTIjpUcNSHpCjmFdOzYMTbOdrtddHd3q1LabW1tqgKP5uZmFfcpHo+LdDrNRtNsNotkMqmKCFmtVibO03O0cPj9/n2q4ZRmdLvdB5Lja8fQaDQKs9nMEUoaL7PZzLIHtzqG1WoVbrdbOJ3Ofa8lArPH41E5ZuSUyeceCAREMplUpdKI5E+vSSaTorGxkedeLBZTiTKHw2EVDyudTqvGs7m5WXR3d/N8lYt/aquyyXmnz+rp6VFxBE+ePKniGspV2sePH1f9j+ai3W7n+WM2m1WpZ5lbFI1GVRxVuVOHLBYtk8jp+srOq+yQAEe7KQRwaCXdG9/4xrtik2opETQewE1HiOaBHPnyer38fCgU4usbiUR4bYtEIioNSTn6JK+Jzc3NKn5zT08Pf057ezuvd7FYTJw+fZrHqqenh8VYjUajSl2AKmzlYIOcBTp+/Dg7+h6PR/T19bH98Hq9oru7W9VAvL29neemzWZjFYG//du/PUqXQgjxPHbAAHwSwDyAi7fz+qN2wH77t39bZDIZlVCbrN2TSqW47YZsgIjcKPPHKCRKky8Siexr9SKnkWTeRTweV/EuZCNI0TWZpC1XypFBNJlMKuXheDyuEj+Uo3dyWigSifD38/v9bLzknbzcNuWgdORRG7zTp0+rxu0Vr3jFXTFwsvq2vIjK+lQ0LrLCt06nE5FIhN+bSCRUCxA5v6FQiMfC4XCwgCFw07mSeWC0oOr1etHT06OaO3I7jqamJpXw70te8hL+PEpx0TieOnWKI7GhUEicOHFCtbGQqxxlo6vT6URzczPPdYPBIBobG/lzSbyR/qa5Go/HVQtoLYfK6XQKv9+vWljMZrNwuVz7HDByfqlS7rCx1Ov1wmQy8YOilvSQn7+VE0bSIvLGhB4Wi0VVWQbcXGACgcC+7ydHfPR6vaqyjO5vElWmv4laAIDJ/XKlNjnWVDFNc4ocKLmCWt7UHT9+nG2Sw+EQ/f39/NpcLqfSjKutluzt7VVFyGRJAVmwNZvNqlLstAGRq7btdjvPZ4PBoJIvkaOisnNOizqdX61NOmpy/s/8zM+obJJsU4/iIVei09jL803mycl6ajSeRqOR1wOdTqeq2M1ms2zTUqmUqrVdS0sL85cLhQIfL5FIqCqz5erGlpYWVaXtqVOn2Jnz+/3i7NmzqlQmzV9aQ2WusxxtbWlp4Y2E0WgUnZ2dqkhdoVDgc6fskVzckc1mj0x3Ugaexw7YOQC9eJ44YO9617v4Rg2HwyqCrJzjpslHN5nZbBZdXV2q9gh9fX1sFFpaWlRpRJm0HI/HxYkTJ27Ju5CNIKn9UmWlLJwpC9C1t7fz52cyGV4cHQ4Hp4CIf0TOQCAQ4JvG4XDwDsJoNLKxUxRF5YzJxOe7IdQqG5i//du/PVIjd5jRq/3eDodD5ajKBGpZ3kPm2BEPD7jpCMlpPrmIorOzk4/R1NTEhsvhcKiiX4VCgbWbzGaz6OzsZMPb1tYmzpw5wwtkV1cXz5VgMCjOnDmjIvyTs282m0Vvby8bMaq8k8U1SQeK5plMdCVyPP2dSCR4LiuKoqr2BNQtT+h61xLgicdVO68o3X7Y2N3JPLzVe+WKV/n1tY6ZyWRSRWwURRE+n0+1mfH5fCrni4oG6O9YLKZa2BsaGlRaWh0dHapNllzJnU6nVcri8mbR6XSq+F2kMybL5cipb5lOIbdVs1qtqirY5uZmVaRNnjsNDQ38XYPBoIq7I/MgI5GIigNH891oNPL81ul0fI9Q70G6xncrCkaPixcvHrmzJ38X2emSizzkjg0kckvjR9fK5/OpUpE0t4gqQNeaKoeBmzZNTunJ+l3BYJBbZpFmoEycl4XLGxsbVXNMdpai0agqACHLn1AEntZakqyh48ipTuCmMynznBsaGlTr2kMPPXSkPoUQz2MH7Oa5IYPniQP2f/7P/+FJlkgkeKJTVZQ8OWkQaULS5M/lcqqyWDk6EYlExPHjx1UNuGnXYLfbVTomDQ0N4sSJE6pdZa1wopx6kpt+NzU18YSUFaydTqdobGzkm1Fe+N1uN39HnU4notGoSkpBlqU4KAJWawyO2gjdrYe8qNcaO5ofDoeDr4PNZlNxLcLhMB9DTrHIrTsURRH5fJ7/J+t80c6ODE4ymeQFj7S9yOnx+/2sF6coihgYGGCnjFJEMom6v7+feRadnZ2qNJSsaN/c3My7UrPZrOJ1EbGark0ikeD5Rk4XzTG9Xq/SzyJhU5mr43K5VHPHZrOpFhy6H+QxuluL660eB51TbQRGjn6R5IusJef3+/k9NptNhMNhvhY+n0/ljMniy9QQW6ZJtLa2qugK8uasVlhVTjnKzjlFJ2is5SioyWQS/f39KopEf38/z4OOjg5VJSXxdKhjAtm5cDjMdo0ipbKDIPMn5cIMj8fD81PW1tPpdCpHRI6UvlhsUu39IN8r9DtJTABq+y33CKZxkyshyQkjrpfcXUPu8djT06MqBJOlkuQKxNp1TO7eQPQF+vyWlhaVM3/8+HFVJ5nOzk7OQrS3t7Pdczgcor29nb8/0YhovElChr5XKpXiz/zoRz96pD6FEJoDdtv4jd/4DaHX61XOh9/vZ0NChFHatXu9XtHa2spGp7m5WdUbq7e3VzVJaeJRaJWMC5XR0mf29vbyZPd6vaoS8nw+ryI6DgwMqHLs/f397AzIrYpCoZBob2/nz8hms/w/u92uisjI2jx6vV5VxSULJNLf9Lusz/NiMHjy+ctl3LXfmyrryDiGQiGVnAeNs06nE+l0mo2a3+9XpfGamppUKRm5N2BHRwcvVCTIKZPzZe7X2bNnVTxDCtuTAawV/5V15eQS8q6uLv6MeDzOHAziFtK5klQEXS9ZfNNoNIpYLMbXzm63q6JecjqRIkf0P7nQ4cXwkEnSgHrBtFgsqlS2z+djR8JisXDVLHDTaSEHiroEyIU1NIaKoohCoaCSyOnu7ub7lyQvgJv26tSpUypni5x3ShvJcjmytlJHR8ehFIlsNqvi7nR2dqoazFMUTqfTiXw+z+/zeDwq6Y1YLMb3mMlkUlWLulwuVbVfrU06apX8u/mQz58cWvpbdjxlp7TWhst6kAaDQeX0ylWrBoNBVSkdjUZFZ2cnZ2C6urrYzgSDQdWmTdagczgc4tSpU6qsDzlT1AKLnKlQKKQKUrS3t+/r/EHnSuLIdI+0trbyZs/j8aiixfJGkAqgFEXRdMDwDA4YgP8O4FEAj6ZSqaO5Qt/Ee97zHuFwONhAmEwmEY1GeZLH43EeRKfTKbLZLHvkzc3NvOjUOjttbW08UUOhkEo7Ry6VrTVe+XyepSkMBsO+9iHHjx/nm+ygaBo5WOl0mg0kLfQy6T6Xy/GElx1OOl/6zpQ2ocWUIhZyWqVWi+luSlXU81G78NdW1slpR4PBoGopY7fbVQuEHPkivSuaY4FAQLS2tqqqeGjhobQNOd+ZTIYXReJ+kcNPvUjlSlvalZIejyw3QGKFJF5I/0ulUqo5J0fGAoEAL9gAVOF8l8vF84bSizTH7XY7O3K1KWyLxaJKE9V7vlC1YiaTEZ2dneLs2bPi1a9+tfjhH/5h8Za3vEX8z//5P1WPt7zlLeL1r3+9eNWrXsUNstPptCricieP2gVUnkOyIypfI4/Hw/e51WpVza1EIqHa+dNiRU4yzUuZo2M0GlUVkslkUsUplMv5SXOJPr+7u5t7ixoMBtHd3a3aSPb29h5IkQgGg6Knp4edtlwux4unyWQShUJBtbGV6R+BQEDF/QqFQqqIl9vtVkVRZUdW5oQdNAYvpEfteddG92RbTPOe/i+ntykyLYtE5/N5Hptax7i1tVXVqaOjo0MlvUSbP+q9WCtrIrcbkh3+gYEBnp9NTU2qLE5vb6+q1Z5Mi+js7OTvRhXEdA/JxWl+v59tV21gheghn/rUp47UpxDiBe6AyY+7kYKUeRqy4SNCME2CVCqlIi3KIog0eY1Go0rOIpPJqITo5Fx2Q0MDN8bV6XQqtd5gMKiSpujo6ODeWGazWRw7dkyVupRTCoVCQUW4LxQK/JlOp1PV7oUMH73X5XKpjL3FYlER8w0Gg+p60WfUY6F6Pj1qo1907eTngsGgivgqt12h1IosbitzLNzfbNhMhkpuSKvT3exbJkcxZMNFwr403+TqIKqylbW9KIrhdrvF8ePHVRW4cgWSbGRlXS6v18sGT1EUkUql+Ph+v5/Py2Kx8PevdSjknfqdVs9ShO3cuXPiJ3/yJ8VnPvMZcfXq1dvWjXu2qFarYm1tTVy6dEn8wR/8gXjLW97Czu1z+S6HpZPkayRfO7kClDTLgJuLn0whyOVyqugl2QC73S46Ojp4zBobG1W9++Sm7rIWnNFoVKUuSTpArsSmeVF7HDn6T/NZ5qQWCgWeh1RtJyviy0UIcnsuer/saJjNZhX/ic691rF/oTph8vespXzI6XudTqeaKxSZlzl0mUxGJW6bz+dVzrwcRGhubmbnidKMMrVG1sPs6OjYl0qUxViPHz/O0bve3l4OKvj9flUUrb29XaVxSQVvVPRD62owGOT5bTAYRDqd5msTDod5btntdlVmx+FwiI9//ONHYidkQHPAbg9ve9vbVIZPjmrIrUJkHkskEmEjSI16aYK3traqjJDM1ZFLdbu6ulQ7zoGBAZ4ora2tKnK1TOCnPm90Lu3t7SqtHVkewOPxiO7ublWbCXnRpybPNHFtNptIJBKqGzgQCKh2l0ajUTgcDlW0iKJgR5062t3dFUIIUS6Xj/RzFEVRRWno5nW73fs4YcFgUNU1IBqNqrhzuVyOFw8KmdPfxIegeUaVZTS2Mj+Col9kdGpTknLVEWnUyVwdOcLV19fHhlTm41itVlEoFPjz0+k0L3QyH0mupgKgIpHL94+cbnuuThfJbrz1rW8VX/7yl4/MyboTrK6uii9+8YviLW95i+jo6HjOrWcO4vYoisLXVK6yJTsky1TIUie1zg7d0y0tLTyOwWBQtLe3q+YFvS8ej4vTp0/zeRQKBbYzJJ5Jto3aSlE0s6+vj+cpEahp4QyHw6Kzs1NlS2VKB/XglHWs5CiGwWAQoVBIlXKkFHctfcBsNh+50yXPgaP8HJ1Od2CmweFwqOaN+5t9ZWX6iMx/stlsoqmpidcah8MhWlpa+G/iN8tkfCLZ0/yRKxZlOkwkElEVl8k6cw6HQwwMDKhEoOUWRr29vTzPs9msqv2anC2QHUjZMSdbTGMvr92yTbJYLOLDH/7wkdsEPF8dMACfBTADYA/AJIA33er1R+2AvfnNb1YttHIOnSat1Wplh8tut7MRlMU0KRQqt22Qm9PK5bp9fX0H8i6I3yVHM2onNEUsXC6XOHPmjOozjh07xgYzm82qKkVSqZRoamri7xoKhVTnS+KYtZwUWTWZPtfn8+3bXVI65ajSjwfhKD6LvsdBDoOs7UWPQCCwj5si8yuIr0POEHEs5OqjQqHABofmhywzIktDNDY2sjNV22/U5/OpBAtlxXSXyyVOnDjBi7RcKURzgeZgY2Ojqi2J3D9U7ilHz9tsNr5edxrpCoVC4rWvfa34whe+IDY3N4/03j9KrK6uik9/+tPi1a9+9YENxJ/pQQ4JbQZobOj62u12vlc9Ho9K34/sh9VqVbU4amlpUaW2aXGkFjFyKlvm8sjacvF4XJW6PHv2LDv+tXyvdDqt6hva1NQkmpub2TnI5XKqriO1WnFOp1NkMhk+Lypwqe2MYLPZVHbrbtgkj8ezb8yr1WrdP+dW34MkJmoLPUKhkCpCSNwouatJU1MTb9SpmlaWb5CpDtRdQ9YllAV9W1tb9zXUrpVXojnQ2dmpUsjv7e1V9Yekc4rFYpzKdjgcLMNCmQU52kX3hMfj4ecP0ouj63OYrmQ9geerA/ZsH0ftgH3/93//vslONzv9Lkd8KB2nKIqIx+N8U6TTab4RZJ4M7ehoInd1danCtnLKUdYM6+np4fw48bvkVAB1ngduLrR0A1B1W20+X+bxZLNZFv2kidvQ0KAyYlQhKe80TSaT8Hq9+8L98oPSqfXaecbj8VuOn2zA7+RBYe7DongUiQgEAvuiYHJElMZZTgcpirJvsaG2LjQG5FjR393d3SpC9IkTJ1TCh6dOneI5ls1muQk8pSRlAyg3fS8UCrwjlCUN5Eiu2WzmeUk8CvoeB6mTG43G5yzO63A4xKte9SrxxS9+kSOcL0Zsb2+LRx55RDzwwAPPKBpb+6BrKqfV5K4L5HwZDAYed1qo6L35fJ7HPZPJqGQEZBHp9vZ2FU+M7IyiKOLEiRPsmFExB9mM7u5ucf78eV6UOzo6mOdKmwpaUE0mk+js7NzHXcvlcvydaFMgOxekGyZHgsxmM3cmuJVNkvX87vRx//3333Ksb3Uu9bZJJEQsfzeLxaLioNI4y+lGk8kk8vk8zwPgWw6y/Lfceqy7u1tVsDMwMKASfZY3f7LAOI0/2chcLqeSaJI7acg9cMPhsKrqkTat9P1o7pAdlKv15W4A8mYG2K/fdhSA5oDdHs6ePXvLGxf4VjpAp9Op9GnoeVlLKxwOq/RKaNK4XC7e/RmNRtHd3a3S+qot6aVwajabFSdPnuRJJDc9JgI/TcZgMChOnjzJn+/z+URfX59Ksbyjo0NVKRIMBkVjY6MqTEt6aLXEVlLPl52yo3y85jWvua0xfNOb3nRXzsfhcAi/379P7dzlcu1ro+NyuURLS8u+8u/W1lZegAOBgOjt7VWpNx8/flwV/Tpz5oxKaZw04XQ6nejr61OlhWrT2DSnSCOOFkeZE5hIJPjz5GIMh8PBzpZcpGK329kJkKPFz+Y6ptNp8Y53vENMTU0d6b39fMaNGzfE2972NpVQ7TM9ZCdCjrDKunPknASDQVWVJDkF1Hyc5pfcYaG/v19VySjzxGQOYqFQEAMDAyqJCZo3gUBAnDt3ju8F2gDIchlyusnhcIjW1lbVdYjH4yKXy6kc1WAwKNLptGrzp9frOfp3t2zSe9/73tsaX2r1dTdsEnVgkJ/3+XwikUionEG3260Sd1YUhYXF5Yi3PF6UhZEj5zLJvrOzk1vskUyJXN1Izj1pEcoFGiTkW7sxlDtkhMNhnksej0cloUTnIEe7aM7cyia98Y1vPNqbW2gO2G2DjMxhBo+MHA2qTFYHbnrdtFDJ1Uoej0cVwm1qamLnS+bZyE1Lqcca3Qy9vb18fn6/X5w7d44Xznw+rwrtkiinrNjf09PDk5TUqen9VAIuOwR6vV7EYjFVlRU9SFTU5/Pt4yIcxeO3f/u3n9U4Pvzww0d+TkQyDwaD+3adXq9XpNNplW6R0WgUTU1NKn2mQCCgCu+bzWbR19enIuDL5dzEqaF54PF4xOnTp1WaOzLBVY40BINBPg4JB9NClcvl2GjH43Gez8FgUNXXUZbWoPkuR2Tk++RWj3w+Lz7wgQ+I9fX1I7qTX7hYWFgQ73jHO25LSV0uhqFFjxYbWrTMZrMqJSmLn5LzFQgEOMpJVW7/P3v/HV7ZVd2N459ze++96FbpXt2u3qe45YWEBIJjuiGQF154HXjoLyH58gZMXgIBEzAhJPkZAwkmJhgTSgIkoZgasKc3T7NmNNJopFGvV7p3/f4Qe/tstdHMSKMZW+t5zjOae245Z+911l57rc/6LKZDzc3Ngg7l83mhypHZK7/fT7t37xaq2lh6nPEYyjsp5HI5gRg2Go1SqVTin2cFQ4lEQmgtxFKT8lSSJEmc7sVut98Qm/STn/zkqub13e9+95Zfk16v59xpyzMTrIJZDpHQ6/UCRxywtO7k83muM3q9XmhFxipoWXTMYDBQV1eXkL2Rc1TW1dWtAOSvxiun1+uFwh95b1R5AECOv5ZDYpjNkke72HOxnk3atWvXFj3Jzwp2HLCNySOPPHJVLSSWR8X0ej2fdDmBIFtgdTodp65gIH05IFaumMs5w+Qs1fJdRkdHh8AS3NHRIUTa5OkqRgyby+WElKOc1I4Z7UgkQvF4XHiQFQoF2Ww2vhMxm81XBNtfb7j/l7/85TXN5fHjx6/5NzfCP8UqQNlC5nA4hM8YjUZeYSbfvQeDQcrlctyJUSqVlE6nhYqjSCRCnZ2dwi6ws7NToCfp7OwUWlXJub3a29uFJrjydCUD0bImt8wJi0aj/DpDoZDQvJZdJ9MFOQXARufW5/PR//t//++WxnLdaLl8+TL9n//zf1bgnK5kj5itAcApGhQKhVAAwqJMZrN5RWSe2QC5k14oFIQ+tXKcmJwN32Aw0O7duwWnrbOzU4jEt7W18d/X6XRUKBSotraW65LL5RIwQOx5SiaTK54npVLJ6QZYkdCVorDXWyA0PDx8TfP5zW9+87ps0pWeNUbu6/F4yOv1CpkMNjfxeFwotgKW1puGhgbuxDDcVz6f57+ZyWQEfq5EIiHAZFKpFMf/sVZVyyE1cgJytol0OBy8aEOtVlNtbS3nk4zH49xWhcNhrsdsbdVqtfw7ryUCX1tb+/zuBXm1x1Y7YEx6e3vp3nvvveJOanlUjCmBRqMReJ7kvSTZzjKZTArOl7zqg2FxlvdYa2xs5I6Sz+cTGnnX1dUJ4eB0Oi20DGG9KOXhfbZLldMFRCIRTvopV2adTkc+n4/3lFxeBbiaMbheioHLly9f1zxOT09f1+9fqb2NSqUii8XC+xrKQaDsCAQClE6nhXE3mUzU0NBAmUxGIC9taWnh79NqtdTS0sKjYRqNhlpaWoSdp5xzJxwOU3t7u1DCLefjYQukTqfjPSaXGzm2UdBoNEIkV844zu5brv9rHVqtll7zmtfQ2bNnN+fBfB7LoUOH6MUvfvEVn6nlUTE5f5g8JclAzPI5l+P+5NWS+XyeL3qJRII6OzsFnBhzlMLhMLW1tQnnGhoauI7ncjkBsM1Y0uWb1UKhQMViUXiOQqEQpdNpwSEDlpwyuU1arTH6cpt0PSB8lUpFi4uL1zWPZ8+evebfZxWq692DRqPhm2Rmk+S0QKwQKJPJrKhYllfjs3GXU49YLBbq6urizhPjF2T/t9vtQueERCLBgwWsgl+uK8yWGY1Gnv7WarUCPxxbC3U6ncDBuRz6sNEIvNFopPvuu48uXbq0SU/mlQU7Dti1SbVape985zt857fWsRzgx0qeGV0BU04WKQuFQkLrIjlVhbzyg2F6zGYztba28giEnGRTq9UKUTCLxUKdnZ3cmLKScnm4n/G2yFOuLDWaTCZXVIp4PB6qqanhjb+Xt4dZbiRYY+NrNTQajea6DR2TSqVyXZgQ1qB5PaNoNBrJ7Xbzxskej0cwklarlbLZrEBLwvRAnsZhEcqWlha+s0wmk9Td3c0/F4/HqbOzU6hulDtXckxNKpUSSH5ZVFWj0XCQs7wZu16v559lpI5ycl05Jcl6Y5ZOp+nxxx+narW6KXO4I8/K4uIifeELX+ARpo3aJHmEQJ5WljeFZ4643CnPZDLc7qTTaW5XvF4v7d27Vyj+YMU9rCqbOXcOh4N27drF9YzZM6ab7FloamoScJI2m23V50alUpHX66VIJELhcJg3OV/PJrEG69dqB/x+/6bN4fz8/DVfB3sOlzP8L79fk8lEXq+XwuEwx6TKI3/MHsij4JIk8Y07i1gy0Lw8GlZXV0dtbW1CqzJW3AMsReTZ2uVwOFa0zWO6Kyd2ZpX3wNLmkuEIbTYbj8w5HA6enWBzuVHHq729nZ544oltsUnYccCuX/r7++mVr3zlhnZQTCnkmAyWPmKVKoAIiI1Go1zpa2pqBO6TXC7HcRfNzc08SlJTUyNEwVKpFLW1tXFjG4lEqLu7WwDet7S0UGNjI1/AWW8/eTsIptAej4czVgcCAYH9fa1Dp9NdFwYjFottyfyxSNK1HFqtdkPksmazmQKBAActyxcTYCn92NLSwiNQbLyKxaLQvN3lclFbW5tAoNvW1sZ3jAxLIW9eyyILrEKJLXY+n0/YaTJHnfG8MePH9NDlcvFQP7vnjRg5pVJJr3jFK+j8+fNbMn87slKOHz9Ov/3bv73uvKwWpWfzy2ySvCl4NBoVNofMTqTTaYHxnlWuGY1Guu2227heud1uKhaLQk9Ihktki7cc4G8ymaitrU3glzKbzVQqlaipqUkoZmE9ahOJBMViMfL7/atSTiy//+slh7799ts3fe6q1eqKFOFm2yRWnRwMBimZTFI8HheiXpIkUSwWo1KpxKExzCY1NjYK0cpwOEzd3d18jTCbzdTT08PnneFR2VrDeowyXZNzUobDYYHDkK11ZrOZ20yHw8HHh+mKvPJ3I03WNRoNvfnNb77uTMr1CnYcsM2TcrlMn/zkJ9fFZSxPAzAiQODZMnGDwSA0X5ZXoslTkHLgtJzBWk5sp9PpqKOjgysyS0/JQa/ZbJZaW1sFHqJkMikAtdnh9/spnU5TKpVaQT+x3qFSqYQm1Vd7/O7v/u6Wzt0999xzTdfF+Jc2mlJlzk0qlaJ0Ok3BYFAYE0YdIqcDcTqd1N3dvQKo3NXVJZRld3Z2Clxwzc3NXAfkbYuWY7/YHFssFq5fVquVRzd8Ph83lmzx3Eiq0Wq10l/91V89p2kjbnaZmZmhP/3TP90QpQVbULVaLW+FJK+8ZboWjUa5Ux6LxfhimEgkVlS2sWjZrl27OA7IYDBQZ2enEAXr6enhmwEGzO/s7BSa19fW1lKpVBJS9kqlksLhMKXTaaqrq6NAILBh+g61Wn3VVB/y4/3vf/+Wzh1L0V3twZqObzSlyrB+6XR6RTpXpVJRJpOhtrY2YS3w+/3U3t4u9KstFou8tyyw5JjL+xjncjke2bRYLNTS0sJtDJs79t1skyhvGSQvIGA6xzYNG8HmAkuBjYcffnjTsijXK9hxwDZfqtUqfeMb3xCiRmsdzNApFAqhgoMpF9vlud1ubni8Xi8PyVosFiqVStx4ZrNZ7khFo1Gh3Uw6nabu7m5hYe3p6REiQJFIhHp6egTuKUmSeK/BbDZLgUDgqjFc1xPm/4u/+IsbMm+f+MQnrun6rsWQs0pSxoMTjUb5eLM2Ve3t7ULhRywWE3aSjBKAzR9ztuU7yMbGRqF5rZyNmi2ATqdT2F0yfWH8dXJ8zEYcr3A4TF/96ld30ow3kVQqFfr7v/97IWq02sLNnlWmh2y+2YbQYrGsGplnEAT2t7x1lXyhTafTAk4sn88LrWpCoRB1dXUJvFOxWIw6Ojqovr5eSJ8ycupMJsM3CVfzDMoLo672+MY3vnFD5u31r3/9hq9pedu3q7W3Wq2WFwIVCgVhDhgnm7xIgs3f7t27hUKKnp4eYX3q6uoSdINFv5RKpdCOLxKJCGsc01Wfz8f1R95ei8EgNjLv9fX19KMf/eiGzNnVCHYcsK2VX/ziF5wo80oLMsOGsTA/WxQ1Gg3/2263c8fObrcLzPmNjY3CjoLtNvR6PXV0dAh9KFtbW6mpqYkvrKxEuFgsCtE5lsPP5XJrGm92zeuxSet0Om4griYK9t3vfveGztcPf/jDqzZ4kiStGd1jEbK1WPOBJQeIpXpTqRR/n1arpYaGBurq6uKOk0qlora2Nuro6OALZW1trRANS6fTAsC1sbGRG65IJMJ1ye/3c8PI8HvAswUh7GAA3yvNXS6Xo1/84hc3dL525Orle9/7Ho+Ir6fXcrgE0zU555tcp+S9/+Q9+hjljUqlopaWFv67drtdSFsZjUbq7u7mizOw5OB1d3cLnTq0Wi3V19dTc3MzZbPZNVN1LLMgtzvL73E5XcVGn/unn376hs7X5z73uWuySWttCpVKJR+btZwXn89H+XxeoLYBnnWoW1paBFqQ1tZWTvIMPAt5kRdryKuxm5qaVk1hh0Ih7swFg0GheTYAbmfXI56VH11dXXTkyJEbOl9XI1jHAZOWzt8a0tzcTL/+9a+3+zLWlKNHj+Lee+/Fk08+uep5SZJARFCr1VhcXIRSqYRarcbs7Cz8fj8GBwehVCrh8Xhw4cIFWCwWeDwenDp1CkajEYlEAseOHcPi4iJKpRIGBgZw8eJFRKNRBAIB7Nu3D7Ozs6itrYXf78fRo0cxPDwMm82GbDaLSqWCI0eOYHJyEhqNBrW1tTCbzZicnERvby+mpqb4ter1epjNZuj1eigUChARqtUqFhYWsLCwgOnpaczOzvL3KxQKqFQqlMvlqxqzZ555BpFI5NoG/Dqkr68P4XD4qj6j1WqxsLCAarXKXzMYDDAYDNBoNFAqlVAqlZAkCdVqFfPz8xgbG8Pc3Bx/v16vRzweh8ViwdjYGE6cOIFqtQqTyYRUKgWFQoHjx49jcnISdrsd2WwWFy9exKlTp6DRaFAsFjE6OopTp07BbrcjkUjg8OHDmJubQyaTwaVLlzA8PIyamhrMzMxgeHgYfr8f4+PjmJmZQSQSQV9fH4ClOVtYWIBKpcLi4iLXz9WkWCzi4YcfRqlUuvrB3pFtkx/96Ed4wxvegNOnT696XqFQoFqtQqPRoFwuQ6fTgYgwPz8Pj8eDS5cuwWQyQaPRYGRkBDU1NVAqlTh79iycTidsNhtOnz4Ni8WCdDqNo0ePYmpqCqlUCmazGfv27UOlUkEmk4HNZsPBgwcxNTUFh8OB2tpalMtlHDt2DHNzc1Cr1Uin0zCZTBgdHcWZM2cEe6LX62Gz2aDRaLhNqlQqWFxcRLlcxszMjGCT2PN4NTaJ3afRaLz2Qb9G+eUvf4n29var+oxWq0W5XBaeW6PRCIPBALVaDZVKBYVCAUmSUKlUMDs7i4mJCczPz/P3W61WRCIRmEwmbpMqlQocDgfS6TSq1SoOHTqE6elpBINB1NbW4vTp0zh//jwsFgvy+TyeeeYZXLhwAcFgEIFAAE899RQAIJPJoLe3FxMTE4jH4xgZGcHY2BjC4TBGRkYwPT0Nl8uF4eFh6PV64brkdnY1ue222/Dwww9ftR2/0SJJ0pNE1LzquR0HbPPl8OHDuPfee7Fv375Vzy83euxBmZ2dRTgcxsDAAIgIfr8ffX19MBqNCIfDOHHiBDQaDerr63Hq1ClMTU0hl8thbm4Op06dgl6vR6FQwOTkJI4ePQpJklAqlaDX63H8+HGMjIxAkiRks1lYrVaMjIzg5MmTWFxcBLD04Hq9XhgMBigUCm7YKpUKPwBw52JiYoJ/VqVScYO43kLOxGAw8Iduu2Rubg4ulwvT09Prvo/dj0Kh4OMCAGq1GhaLhS8IkiRBkiSoVCo+p2xcZmZmcPHiRf5bSqUSyWQSfr8fU1NT2L9/PxYXF+FyuVBfX4/5+Xk8+eSTfPGy2+3Yt28fZmZmUFdXB6PRiH379kGj0SCXy+H06dMYHx9HIpHA6OgoRkZGEAqFMDIygpmZGUSjUfT19YGIoFKpMD8/D61Wi/n5ea6Pq0mpVMIXvvAFFAqFzR38Hbmh8sQTT+D1r389Tp06tep5pVKJSqUCnU6Hubk5GAwGVKtVzM3Nwev1YnBwECaTCTqdDsPDwwiFQjAajThx4gQsFgsCgQBOnDgBpVKJUqmEoaEh9Pb2wul0IpPJ4MKFCzhz5gy0Wi0aGxuhUChw6NAhTExMQKfToVgsQqfToa+vD2fOnOH2w2w2c5sEAIuLi3wTWKlUeCSB2aTx8XFup9hGd6NrHLO3CoViE0b82uTSpUvw+/1XdD6YTZLbXeBZm6TVaiFJEoBnHVGVSsU3ipVKBTMzMxgYGOAbRI1Gg7q6OlitVgwPD+PEiRMAAI/Hg3g8jqmpKRw+fBgAkM/nYTAY8NRTT2FhYQH19fVQq9U4ePAg9Ho90uk0jh8/jtnZWaRSKfT392NychLRaBSXLl3CzMwM1yu9Xs/nU6lUXnEzuHv3bnzhC1/Ylo37tciOA7ZNcuDAAbzqVa/CkSNHVj2/3OhptVooFArMzs4iFouhv78f5XIZ4XAY58+fh1arRTKZ5DuUQqGAvr4+DA8PI5FIwOv18h1mIpFANBrFiRMn0NfXB6VSiYaGBtjtdly4cAFHjx7l1xCLxWCz2SBJEjdio6OjmJmZ4c4GsPTQG41Gfp1TU1N8x6lWq7GwsLChcYnH4zh16hQ3ENspRIRMJoPjx49v6P3y+9Tr9TCZTCAizM7OYm5ujhtCYGm8bDYbzGYzLBYLX9RGRkbQ29vL35tIJBAMBjEyMsINnNfrRW1tLQYHB3Hy5Eno9XqUSiUMDg7izJkzsFgsqK2txbFjxzAzM4N0Oo2LFy9ibGwMkUgEQ0NDmJmZQSwWw/nz50FE0Gg0mJ2dhV6vx+zsLI98rSa1tbV45JFH0NTUdD3DuyM3mfznf/4n7r33XvT39696numEwWDAzMwMTCYTFhcXMTc3B5/Ph4sXL8JoNMJsNuPixYvweDzweDw4fPgwDAYD0uk0nn76aUxNTSGdTsNisWD//v0ol8tIpVJwu904fvw4hoeHoVQqkc/nYTKZcO7cOZw7dw7A0jMWjUZhs9kAANPT05icnMTExATGx8dXXK9Op4NOp4MkSUJ052ps0t69e/Ff//Vf1ziqmyvlchk+nw+jo6Mber/8Pg0GA4xGI3eel28uVSoVTCYTbDYbrFYrtFotKpUKRkZGcPbsWQBLAYJ8Pg+v14sLFy7w9au2thbBYBCnTp1CX18f7HY7MpkMzpw5g4GBAXi9XgSDQRw8eBBEhHQ6jbNnz2JmZgbJZBIXLlzg2Z6BgQHo9XpUKhWUy+UNbQY7OjrwpS99CYlE4lqHdltkPQds23FdV3PcrBiwK8l//ud/rtvnjeEwWL7cYDDw3H5dXZ1AK6FUKjlhIXu/vNmtVqul9vZ2jhsDnuWSkpPssd6QXV1d1NDQsKJSb71DpVKR3W4XqiM3CnTdaE/HGy0brZCU36fRaCSHw7FhIKwkSeTz+aixsZF6enqEprTAEr7qzjvvFAom8vk8dXZ2ch1IpVIc+8X0gGEC5bQBsViMkzbKezcyHVnrGn0+H/3bv/3bdk/HjmyhVKtV+vKXv7wuDQLD9TCdsdls3CYxW2YwGASsaqFQ4FW0LS0tHCdmNpupu7tbaLHV3NxMd911l8AFxhjTe3p6qFgsrltMsPzQarXkcDgEzNdGbdKNaMh8tVKtVqmpqWlD1y+3P2azmWw224arIxUKBdXU1FBzczN1d3cLjPjAErB99+7dvOhHkiQqFAorSJ8ZLYlOp6N8Ps8pcVKpFMfoMX3Q6/V8npi9Wm+uamtr6amnntruKblmwQ4If/ulWq3SF77whRU9upYbEfYQsX/lfSLZQspaSbCHgS3ijBdM/r477riD92QDlgCQ3d3d1N3dTbW1tStAjgaDgRP4BYNB8vv9vJ3J8vfJHbCNgCXvv//+7Z6GdeWBBx7YkBPF/jYajSsoOlhTYPkYer3eFe+TJIni8Tj19PTQrl27hGqkTCZDu3fv5qBnvV5P7e3tnLbCbrcLlY91dXXckDESTTkJMNOH9Rwvk8lEX/jCF3aqGp9HUqlU6IEHHlhXL9giK+/swWwSKxoxGAxcN41GIzU2Ngrk0u3t7XzBjcfjtGfPHqFAIBaL0e7du6m7u3vVVnCMHyoUClE4HOZtdpbbHJPJtKITxZWOxx57bLunYV1585vffMV7kDtb8jVDft5ut/PevuFwmNxu94r3qVQqSqfT1NPTI1Ris76fe/bs4dWMDoeDOjs7uTPu8/mooaGB94dlnRSYg8ecM/naJtev1Q63203f+ta3tnsKrlvWc8B2UpA3WBYXF/HhD38YH/rQh4R0FfBsXp+lJG02G8bGxmC1WjE7O4uFhQUUi0U888wzGBsbQ01NDS5duoS5uTkUi0UOaFWr1WhsbES5XMaBAwdQrVZRU1ODeDyO+fl5nDhxAiMjIwCW8v41NTWwWCxQq9UgIiwsLGBxcVHAfjFA+eTkJICl1KVWq8XMzMyGMF/f+973cOedd27NoG6iPPHEE9i1a9e672H3q9frOSYFWMLQORwOaLVaqFQqSJIEtVrN8RcKhQKVSgVjY2M4f/48T5VYrVbU19fDYDDg5MmTOH/+PNRqNRoaGgAA+/btw8LCAmpra6HX63Hw4EFotVrU1dXh9OnTmJmZQSKRQG9vLwDAYrFgZGSEF1gwfVrrXt797nfjwx/+MFQq1WYN447cQjI7O4u3vvWt+Id/+IcV51hKiKW5mE75fD6Mj49jdnYWoVAIfX190Ov1HPYgSRIvGDl79iysVitKpRJGRkZw6NAhAEAymURNTQ3HrLJ0mcFgQCgUgsVigVKpRLVaxeLiIj+ICIuLi5idncXIyAiHQTAs5tzc3LqpLHZfx48fR21t7RaM6ObKl770Jdx7773rvofZJKPRiNnZWX7vNpuNY8JYoZRCoYBarYZarQawlPIcHx/HuXPnOCTB4/Ggrq4OKpUKJ06cwMDAAHQ6HUqlEhYWFrBv3z5Uq1Ve3HX8+HEYDAZEIhGcPHkSABAMBtHb2wudTge9Xo/R0VFYLBZMTEzwlCOD4chFq9Xi4x//ON7ylrfcFDCV65UdDNhNKKOjo7j33nvxrW99a8U5VuGjVqtRLpdht9sxOjoKp9OJyclJLC4uorm5GWfOnMHw8DDC4TAmJycxNjaGQCCASCSCI0eOYGJiAi6XC9lsFnNzczhw4ABfiFOpFDweDxQKBaanpzE2NoahoSFMTk4KhkulUnH8UqVSweXLl3lVEXuI1nPA1Go1Tp8+fdNXqshlYGAA0Wh0zeopdr/yCiStVguHw8EXgKmpKaGiR6FQcNyFy+Xi4zk4OIjTp0+jWq1Cq9Uin8/DbDbj2LFjuHjxIux2O+rr69HX14dz587BbrejpqaGY8USiQQHLTudTly6dIkvkhqNRiieWC6/9Vu/hX/6p3+C0+nc/EHckVtO+vr6cM899+DnP//5inMMmM42EUajEVNTUwiHwxgeHsbs7Cxqampw/vx56HQ61NfXC4UhTqcTBw8exNzcHMLhMJLJJMbGxnDo0CEsLi5CpVIhmUzC7XZzfOnw8DDGx8cxPj4u2BedTgeTycTxS5cvX8bCwoJQib2eTbJarbhw4cK2VDpeqxw4cAANDQ1r3pN8U8gcUp1OB4fDAUmSMDMzg4mJCcEWKJVKWCwWuN1uWK1WGAwGLC4u4uLFi7xq1mw2I5/PQ6FQYP/+/ZiamoLf70cikcDp06cxMDCAQCAAl8vFN4aBQABnz57lFeLDw8OwWq0YHx/nhWdr4U9f97rX4TOf+QwvunguyI4DdhPLgQMH8NKXvnTNMnEWlSAiWCwWjI6OwuPxYHR0lKVl0dvbi4sXLyKRSMBgMODQoUNQqVRobl6a8/379/PKJgZ6nZiYwLlz5zA4OLih61SpVLDZbFhYWOBA2PVA3MBSVdHZs2eh1WqvZkhuCimXy0gmkzh//vya75Hfv9Vq5SXsazk8y8XpdCKRSHCH6ciRI5ienubVrJVKBU899RTfaSqVSl5lFI1G8fTTTwNY2q0ODAzAbDbz3a9arRYcQLlEo1F8/etf36GU2JFV5cc//jHuvvtuDA0NrXpeo9FwGh2NRoPp6WnE43EMDAxgdnYW0WgUFy5cwMLCAgqFAqampnDmzBkYDAaUSiUemV9YWIDNZkN9fT30ej3Gx8dx6tSpFUD7tUStVsNut2N2dhaTk5OQJIk7iGtJsVjEvn37bsnIysjICCKRiEAXtFyYgwMsRb8UCgXGxsauWFXJJBgMIhQKwWQyYXx8HAcPHkS5XIbZbOYV9gcPHoQkSUin01hYWMCpU6dgMpng9/tx8uRJGI1GmEwmDA4OwmazYWJigkckGR3GcmloaMDXvvY1xGKxaxucm1h2HLCbXIgIX/jCF/DmN795RaqI7WwMBgNmZ2eh0Wig1+t5tOvy5cuYn59HsVjE0NAQ+vv7EQwGEYlE8PTTT2N4eBgmkwmFQgEajQZ9fX1CKbrD4YDP54NOp4NKpeLh/nK5jImJCU5jACwZPKPRiLGxMeHaVpPbb78d3//+929JQ8eEiPCCF7wA3/3ud1c9L79/m82GmZkZbvx0Oh08Hg8MBgMfW/Z+trsfHh7m35VIJBCJRHikkvHjMM6dS5cuweVywev14siRI9BqtfD7/XjmmWdgMpk4x4/JZMLU1NSqKRiNRoNPfepTeOMb33hLz8uObL1UKhV86EMfwoc+9KEVesTSRkajkW8YgKVUZjqdxrlz5zA7O4tsNov+/n6MjIwgFovB7/fj0KFDmJychM1mQz6fh1Kp5JxSTDweD1wuF49QMVjE/Pw8pqencfHiRZ721+l00Gq1GB8fvyIU4g1veMOqadZbSRYXF5HP59es2pY7OjabDePj43z+zGYz7HY7zGYzT0FKkoTFxUVOScGcX0mSUFdXh2AwiOnpaezfvx/z8/OIx+MIhUI4ePAg5/MymUw4duwYTCYTjy7abDZMT09jcXERGo1mzXSj2WzGl7/8ZfzO7/zO1g7cNsqOA3aLyNTUFF772tfiscceW3GOYTBYKNdsNvOy60QigaGhIUxMTCCVSkGlUuHIkSOcB8xsNuPkyZMYGBgAAPh8PsTjcY5hmpqawszMDKamplCtVqFQKPjutlKp8FQAAB6tWc/Yve9978Nf/MVfbN1A3WB5//vfv+b9sHFgjg+w5Iw5nU5ucObn53lKWaPRwGKxwGg0QqlUYm5uDufPn+cLkNvtRiaTweTkJJ566ilIkoR8Po+5uTk8/fTTMBqNCAQCfKepVCoxMTHB8YJrld7ffffdeOihh2A2m7duoHbkOScXL17E7//+76+almTRFrlNKpfLKJfLnIKAEQTPzc3hzJkzUKlUaGpqgkajwaFDh/hmLhaLIRgMcrLj6elpjI+P880gw5wyHj4GlwCw7qaDyd/+7d/iTW9605aN042Wl7/85fjnf/7nNc9LkgSDwcBxdU6nE3a7HUqlEvPz86hUKqhWq1AqlTCZTDAYDDCZTFAqlZiensbJkydx+fJlAOD44cuXL+PQoUOcpmJkZATnz5+H3W6HxWJBb28vbDYbJ8Vl88KgKsvlTW96E/76r//6lsyQXI3s0FDcYvLzn/+ct5JZfrCKJdZA1+l08oqjeDzO28643W7q6uoSelXmcjm66667eFnxlSoXJUkip9NJwWCQlzqzypm1KCtu9qqia5VvfOMb61ZFsnHRaDQUCoU2VEKvUCgokUhQd3c33XHHHVQoFIRq1Y6ODl7hGgwGOY2IyWTi38/0gFUTLZ8Xv99Pv/rVr7Z7+HbkFpfHH39coCeQ69pym+RwOAQaHblNamtr4/9XqVTU2NhId955J3V2dgqNoNezSV6vl4LBIKcuWM8mKRQK+u///u/tHr4tkStVbTOboNPpKBgM8grG9Q6VSkXJZJL27NlDd9xxB2+eDizRGXV2dvIKxng8zufMarVyW8X0gFVmLz8SiQQdPXp0u4fvhgl2qiBvPalUKvjzP/9zfPjDHxZ2dWyXp1KpUKlUYLfbMTIygkAggHK5jOHhYQQCATgcDhw9ehTVahXpdBqBQABDQ0M4evQoDwMbjUb4/X4eTSMiDtYcGhri+CaLxQIAmJiYWBP3pdVqsX//fqTT6RswOtsjp0+f5p0HlgsbF7aLlIfyfT4fbDYbtFotj1DNzs5iYGAAExMT/PPZbBYOhwMXL17EsWPHoFKpeOXYmTNn4HQ6odFoMDAwAJvNxiMAlUplxe5fkiT8yZ/8CT74wQ9uK7P3jjx3ZH5+Hm9/+9vx2c9+VniddYBgxUMMqxoOhzl5ajqdhk6nw4EDB0BEyOfzcLlcGBwcxLFjx3g03eFwwO12Q6/XQ6VS8dTj6OiogFe12+2Yn5/HzMzMmjbJ4XDgxIkTcLlcWzsw2yg/+tGPcNttt60a+WMReIbdZdEwrVYLl8sFi8XCCWyr1SomJiY4jg9Yyrrk83nYbDb09vbi9OnTUKvVyGQy6O/vx9DQEPx+PyqVCi5dugSn04nLly/zQoDlNkmtVuPjH/847rvvvucVBOK6U5CSJP0VgM8T0eqU7jdInk8OGJO+vj685CUvwfL7liSJP2AajQYmkwmXL1+Gz+eDVqtFb28vzGYzstksxsfHcezYMQBLoeja2lpYLBZUq1XMzMxgenqaU0+wFjrz8/MCJoClHlcL80ciERw6dOh5kd6amppCsVjEmTNnhNfZuJhMJkxPT4OIYLPZ4PV6ebk3q0g0GAzQ6/V8kZmamsKxY8c48zVrFcXwMsFgENVqFQMDA3A6nZiensbc3JwAuJVLJpPBt7/9bUSj0S0fjx15/smJEyfwghe8gDOny4Utvnq9Hmq1mvcAnJ6exuDgIJxOJ9LpNIaGhoQikrq6OhgMBr45YYdSqeQtwJhNYnZIp9OtSYPT2tqKn/zkJ/zZey7LxYsXkc1mObUQE2aTGPUDsOSUMpvEWOiZzTebzbz6cHR0FE8//TQH0GezWRgMBhw8eBCzs7NIJpMYHR3F5cuX4fF4+G9LkrQqBOLOO+/EV77yFTgcji0ejZtPrjsFCeCPAPwUwC8B/C8A1o18brOP50sKcjV56KGHVpDWsRQiC/UajUZO3ulyuaixsZETE3q9Xtq9ezft3buX0un0FdOPTqeTampqeHphOWkfO170ohdRpVLZ7uG5oVKtVukP/uAP1k0RazQaqqmp4WSGax3ykP9tt93GiQ01Gg2VSiX+eTmZK0sBLGfgV6vV9OlPf3qHTHVHtlwqlQp94AMfWJH2Y2lBRgLsdDrJ6XQSAAqHw1QoFDhxaCQSodtvv512795NsVhsXZukUCjI7/dTOBzmn1+LQPbtb3/7dg/PDZdyuUwdHR2rjgez3UajkSKRiNB9Yy2blM1m6bbbbqPu7m6eUrRYLNTU1MTnNhQK8TlgMJjlDPx6vZ7+9V//dbuHZ1sFm5WClCQpBeAPAbziNw7Z3xPRDzb8Bdcpz8cImFyGhobwkpe8BD/96U+F11kkhHWVN5vNcLlcOHv2LFQqFRoaGqBUKnHkyBGetnI6nfB6vRzIPT8/j9nZWfT39/PdkslkgkqlwtjY2KoVLB//+Mfxjne848bc/E0on/70p/HWt75VeI2Nk9ls5g1vgaU0rsfjgdVq5dQi09PTOH/+PI8ymkwm1NfXA1iiJymXy0gkErh8+TLGxsbg8Xhw6dKlVUGtnZ2deOyxx+D1erf6tndkR7icPn0aL3zhC3k0iwlLtTscDoyMjMDj8UCv16O3txdGoxH5fB7lchlHjx7lKX2n04lgMAi9Xg8i4qTFg4ODvMDFbDajWq1ienp6hU2SJAlf/epX8dKXvvTGDcBNJu95z3vwsY99THiNjZPD4cDc3By3SXa7HX6/HzqdjlOLTE9Po7+/n9sk1u9xZmYG+/fvBxEhkUjgwoULmJ+fh8PhwOXLl1e1SXfeeSceffRR3tPz+SqbUgUpSZISwO9gyQELA3gUQDeAaSJ6+SZd67ryfHfAmDz88MN405vexNNPLNSs0WiwsLCAYDCIvr4+GI1G1NXV4ZlnnsHo6Cg0Gg0KhQIcDgenLWDNa9VqNQ/1M1ZkWlbdx0StVuMHP/gBurq6tuP2byr5xS9+gd27d69IBbISfWCpisjhcICIeFpFpVJBr9fDarVCoVBgaGgIhw8fRrlchtPpRE1NDU6ePImpqSnueLH5BcBTLlqtFv/wD/+AV7/61Tf2xndkR34j1WoVH/nIR/Bnf/ZnHJ7AMD7sX4fDgeHhYdjtdsRiMZw6dQoTExMwGAzI5XJwOBxYXFzE2NgY5ufnsbi4iGq1yp0xRrEDgDcKl4vFYsGvfvUr1NXV3cA7vznl8ccfx+///u+vSMsyGIlSqUQkEoHJZOKObrlchsFggNlshk6ng0KhwPDwMO+k4vF4EAgEcOzYMd4snDXUnp2dFdLAWq0WDz30EF75yldux+3fdLIZKchPADgF4HMAWpedO7GR79iM4/mcglwug4OD1N3dvSJMr1QqeS/AZDLJ01SZTIZ27dpFmUxm3canarWaampqeJh6eZorHA7T4ODgdt/+TSWXLl1aUcHFxs1qtQoVW6sdkiRRfX097dmzhzdRVygUPC2j0WhWTbe0t7fTpUuXtvv2d2RHiIjo9OnTlMvlVuipXq/nTbrlz0mxWKQ9e/ZQbW3tuikxrVZLoVCIp+CX26RisUiTk5Pbffs3lZw4cWJFs3U2bi6XS0jlrjXm+Xyedu3axft86nQ64W+lUrkiBd3T00MDAwPbffs3leB6U5CSJL0ewFeIaGaVc1Yi2hh18XXKTgRMFCLCF7/4RbzpTW/i4V8WbrZYLJiZmUGlUuGtiBgBq9VqRV1dHYxGIxQKBRYWFjA6OspJEyVJgsViWcFI/aIXvQhf+9rXnhfA1quVhYUF3HPPPXj88ceF1xkZIv0mmphIJHgbFVZ51NfXh0uXLgFYKmiwWCw4evQoFAoFDAYDxsfHhUovlUqFT37yk8+ZXmk78twRIsLHPvYxvO997+PRMGaTPB4PLl++DKVSifr6ely6dIlzEwaDQV6RDSxVXE5MTODUqVOYm5vjfFXLbdKb3/xmfOYzn9l5DlaRyclJ7NmzB0899ZTwOuMMBJYKIFiVNuu7OTU1hePHj/MIfjqdhiRJOHbsGLRaLTQazYqCLJVKhQcffHCH5HkV2YwqyMZVXh4H0EtEa/ei2WTZccBWl4sXL+LFL34xfvnLX/LXWAPmQCCA8fFxTE9Pw+PxIJvNQpIkDA8PY3JyklcRORwOKJVK9PX1YXR0dAWh5/Md77VReeCBB4RxYvg8p9MJv9+P+fl5jrfTarXwer0c13Lq1Cn09/fDbDbDYrHgwoULQm83YKlC8pvf/OZzsmXHjjx35Omnn8Zv//ZvC1032LMQiUQwNDSEmZkZRCIRxGIxEBEmJiZw8eJFnnrUaDRQq9W4cOECxsbGhKpfpVKJL33pS3jFK16xXbd4SwgR4b3vfa+AC2ObOeZ8LSws8I03S0O6XC4sLi7iwIEDGBsbg9VqhU6nw+Dg4Aq8V2NjI/7lX/5lxyatIZuRgvwFgDKAXwN4EsA8gF8BOAPgro18x2YcOynItaVardInP/lJoZJIkiRenRKJRCifz/OqyNUOhULBSRLZYTab6Sc/+cl2394tJf/93/+9Ivzv9/tXVLHKD6PRSA0NDTxFYzQaSZIkHuKXJIn+/M//nBYXF7f79nZkRzYkCwsL9J73vEewR0qlktugZDJJxWJxzWpG/CbVtbySOBAI0IkTJ7b79m4p+c53viOMsyRJK2z98sNkMlGxWOSV2az6mh1KpZI++tGPPu+q4K9WsAkpyK8A+BD9hgdMkqQMgHcD+BCAx4iodMUv2QTZiYBdWU6cOIEXv/jFQq8wg8EAq9WKgYEBHv73+/18J8RC/ZcvXxYiX+3t7fjmN7/5nCYy3CoZGRnBi170IvzsZz8D8Ozu3+fzcQAs4+IZHR3Fvn37UKlU4HK5MD09LUS9otEoHn/8cRSLxe26nR3ZkWuWX/3qV3jxi1/MQfTAEmheqVTy4qCGhgZekLKwsICJiQmcPXsWw8PDQsTld3/3d/HII49wvqod2bj09vbijjvu4FFJZv9Zazqj0chfO3/+PE6cOAEiQigUwuDgIBYXFznQvr6+Hl/96leRzWa385ZuCdmMCNj+tV5b7dxWHTsRsI1JuVym9773vXynwiIvRqORWltbKZ/PC9EYq9VK8XhcALf+3//7f3d2NtcplUqF/r//7/8TdoyxWIwCgQCPbNntdkqlUtTU1LQqv9fb3vY2mp2d3e5b2ZEduS6Znp6mP/qjPxJA3kz/m5ubqba2luu/UqmkUChEkUiEPydKpZI+85nP7HDcXafMzs7Sa1/7WiHCmEgkeIEDflM0USwWqbm5mbRaLUmSxIuIJEmi97///VQul7f7Vm4ZwToRsI06YI8C+CyA3b85/uY3r2kB/Goj37EZx44DdnXy05/+lIeP8ZvqF/YgmUwmcjgcfLFXqVSkUCjI7XbTD3/4w+2+9OeU/Md//Ad5vV4hpajX6ykQCPCUsVqtFvp/+nw++sEPfrDdl74jO7Kp8r3vfU/oSSh/BpjjxTaHrEovkUjs9DPdZHn00UfJZDLxinm2UXc6nTxFrNFohLmKRCL0i1/8Yrsv/ZaT9RywjaYg9QDegiXeLwnAT37jhM0BMBDR1DofX+97/weAvwagBPAPRPSR9d6/k4K8epmcnMRb3/pWPPzww7waqba2FoFAAJIkYX5+HidOnMDIyAhe/epX4+Mf/zg8Hs92X/ZzTkZHR3Hffffhy1/+MkwmE1KpFEwmE+fbOXToEJ+f173udfjrv/5r3oNzR3bkuSQjIyN405vehH/5l3/hlXQNDQ2w2+0cEnHs2DHMz8/jvvvuw1/+5V/upBy3QJ555hn88R//Mb71rW/B6/UiHo9Dp9OhUqng3LlzeOaZZ3hKcmcerl2uKwWJJefoP670vqs9fvO9pwHEAWgAHACQWe8zOxGwa5fHHnuM7HY7KZVKcrlcQlqspaWFfvSjH233JT4v5Mc//jG99KUvFYolbDYbjz4+39t27MjzR7785S+TxWIhtVotFK1oNBq699576cknn9zuS3xeyL/+679SNpsVbJLH4yFJkigQCND3v//97b7EW1qwCSnIf8Um938E0AHgu7L/vw/A+9b7zI4Ddn0yMDBAr3rVqwgABYNBes973kP79+/fwVXcYKlUKvSrX/2K3va2t/FKpLvvvpuGhoa2+9J2ZEduqJw/f57uuOMOnuJ673vfS4cPH96xSTdYKpUK/fznP6e3vvWt5HQ6SZIk+t//+3/T6Ojodl/aLS/rOWAbTUE+CqAdwPcBTMuiZ29d80NX/s67AfwPIvqj3/z/NQDaiOi+tT6zk4LcHPnBD36Ad7/73XjyyScBLHHqLG8dsiNbJ/Jqor179+L9738/brvttp2x35HnpVSrVXzzm9/Ehz70IW6TFAoFlErlNl/Z1shG1twb/btEhGq1CkmS0NPTg0984hNoamq6gVf33JX1UpCqDX7Ht39zbKasttqs0BBJkt4I4I3AUk+9Hbk+WVhYwJNPPokTJ04AWOrb5XK5BCcMWHogdxyCzRciwsLCAqanpzExMYGjR4/iySefRGdnJ/R6/XZf3o7syA2XyclJPPnkk5wewWazwWAwQKVS3TI2iDk38p6I8r+Xy0bfdz3XcjVSqVQwNDSEhYUFHDlyBPv370dDQwMUCsWmXdeOrJSracatB1BDRCc25YclqQPA/yWi3/rN/98HAET0/9b6zE4E7PrkZz/7Gd74xjfiyJEjKBaL+L3f+z284AUvQC6Xg8lk2u7Le95IpVLBd77zHfzgBz/AE088gV//+teor6/HF7/4RTQ3r47V3JEdeS7KD3/4Q7z2ta/FuXPn0N3djc7OTtx11107EeEbLGNjYzhw4AC+/e1v41//9V9x4sQJdHR04HOf+xzy+fx2X94tLZvBA/YiACcAnP3N/0sA/nUjn13nO1VYYtKP4VkQfna9z+xgwK5NyuUyvf/97yeFQkEGg2FFY2iz2Uyf+MQndrhdtljm5ubogQceoFgstirjt1KppA984AM787Ajz3mZnZ2ld7zjHSRJ0qrdObLZLP393//9TueHLZaZmRn6wAc+sKIbgVarJZ1OR2q1mv7yL/9yZx6uQ7AJGLAnAdwG4IdE1PCb1w4R0XW5xpIkvRDAJ7FUEfkQEX14vffvRMCuXo4fP46XvexlOHjwIADAaDQilUpxZmmFQoHR0VH09fUhl8vhoYceQktLy3Ze8nNSDh48iFe/+tU4dOgQQqEQDAYDqtUq7HY7iAhHjx7FzMxSr/tCoYBHHnkEmUxmm696R3Zk82X//v245557cPLkSQCA1WpFKpVCtVrF6OgoVCoVxsfHcfHiRXR1deGLX/wi4vH4Nl/1c0++//3v401vehPOnj2LaDTKe9IqFAqoVCocO3YMc3NzAJa6ovzjP/4jEonENl/1rSfrRcA2muBdJKLxZa9dd9KaiL5DRHVElLiS87UjVydEhAcffBCFQgGHDh2CQqGA1WrF9PQ0Dh48CI1Gw3moRkdHASy1Mers7MRf//VfbxtQ9LkmRISPfexjaGpqwrFjxwAsNU/XaDTw+XyYmZnBsWPHMDMzA7vdDoVCgUOHDqFYLOITn/gEqtXqNt/BjuzI5kilUsH999+P5uZmnDx5EiqVClarFePj4zhx4gTm5uYQCAQALD0jAPCLX/wCuVwODz/88DZe+XNLFhYW8J73vAd33XUX+vr6ACylIBUKBece3L9/P+bm5mCz2QAAv/zlL5HNZvF3f/d3O2vDZspaoTES04X/PwCvBHAQQC2ATwP42418djOPnRTkxmRgYIB27969ohURa8htMBhWhPzdbjfZbDb+/7vuumunBPk6ZWxsjO666y4h1bu8STew1AS9vr6eEomEMF8AqL29nXp7e7f7VnZkR65LTp8+TcVikes168CRSqUolUqteCYAkMPhENKTr3rVq3bacl2nnDt3jgqFgtAdxW63rxh7s9lMhUKBAoHACpt02223UX9//3bfyi0j2IQUpAHA+wHchaXqxe9iqTn33FV7fNchOynIK8vXvvY1vPa1r8X09DSvrnG5XJicnMT8/DwSiQRqamqgVCqxuLiIxcVFLCwsYGpqCqdOncL8/Dxnp3a5XPj3f//3nXLka5ADBw7gzjvvxNDQEJ8HpVKJTCbDd5lKpRJ6vR6Li4s4deoUent7oVarYbPZhM9ptVp87nOfw7333rsDTN6RW0qICJ/73Ofwtre9DeVymdsWr9eLoaEhVKtV1NbWIhqNQpIkzMzM8MVpdHQUx48fFyIusVgM//mf/4lYLLaNd3Vryn/8x3/g937v9zAzM8O7bhgMBiQSCRiNRqjVaqjVaigUCiwuLuLMmTM4d+4cDAYDtFotRkdHuU0ymUz4h3/4B7zsZS/b7tu66eW6Qfg3y7ETAVtbJiYm6O67714B7FYoFKTRaCifz5Pb7RbY16PRKCUSCYEZ32g0CoBMhUJBDzzwwHbf3i0ln/3sZwVWaa1WyxsNAyCLxULJZJISiYSww/d6vZTNZkmlUpEkSaTT6YT5vPPOO2l4eHi7b29HdmRDcvHiRerp6RF0mOm7Xq+nXC4n9Bo0Go1UW1tL8XhceF6sVqtQOKTRaOhrX/vadt/eLSPVapX+9E//VJgHg8Eg2B6fz0fxeJwikQiZTCb+eiAQ4Cz5KpVqRQHXi1/8Yrp8+fJ23+JNLdiECFgdgHcBiELGHUZEt13xw5soOxGw1eWJJ57AS17yEly+fJm/plAooFAo4PP50NfXB5VKhUKhAIvFgkuXLuHpp5/G4uIif79Op4Pb7YZSqURvb++KPP9LXvISfOUrX4FGo7lh93WrSblcxitf+Up87WtfE15XKBSIxWK8x5oc16XT6RAOh+Hz+TA/P4/9+/ejXC4jFAphYGAAkiQJ82Q2m/HlL38Zv/M7v3PD7mtHduRq5V/+5V/w2te+FjMzMzxqIkkSNBoNnE4n+vv7YTAYUCwWoVQq0d/fj76+PpTLZf4darUa4XAYRISzZ8/y6BmTt7zlLfj0pz+9w1W1jkxOTuIFL3gBfvrTnwqvq1Qq1NTUoFwu49KlS8K4azQapFIpOJ1OjIyM4NChQyAihMNh9PX18ewJE5vNhkceeQT/43/8jxt2X7eSrBcB26gDdgDA3wJ4EkCFvU5ET27WRW5EdhwwUWZnZ3HffffhoYce4q+p1WosLCzAZrNhbGwMDocDgUAAJ0+exPz8PGw2G+rq6jjgm6UgFxYWMDExgZMnT2Jubg5arRaLi4uoVPh0o6amBr/85S/h8/m243Zvarl06RLa2trwzDPP8NeUSiW0Wi1mZmag0+kQi8Vgt9uh1WqhVCo50/fExASOHDmCiYkJqNVqpNNpXLx4EUNDQ3C5XBgeHuZNcZncc889eOihh2A0Gm/0re7Ijqwp4+PjeM1rXoNvfvOb/DXmIDkcDgwPDyMQCMBut+PYsWOoVqtwOBzIZDIwmUwgIlQqFSwuLmJ+fh6XL1/GM888g3K5DJPJhJmZGcEJa2xsxA9/+EOYzeYbfq83uxw9ehRdXV0YGxvjr6nVagBLQHyTyYREIgGz2QyVSgW1Wg2VSoVKpYLLly/jxIkTmJqagtFoRDweR29vLyYmJuBwODAyMsLXGiavec1r8NnPfnbHJi2TzeABe3Ij79vqYycF+aw88cQTQuqQHSxt5XQ6yev1cjBrV1cX5fN5UiqVK0LR8nA/+w6fz7cqMFar1dKPf/zj7b79m0qeeOKJFTw6kiSRJEnk9/uFcyy1aDQaSZIkAZRcLBaps7OTp2XcbjcH7bM5kn/G4XDQT37yk+2+/R3ZESIievzxx4X0FdNV9prT6eSAb6/XS11dXZTL5YR0vVKp5DAIua4bDAZuk+Tvx29S+kePHt3u27+p5NFHH10xTmzsfD4fL4KQj+FyyINGo6GGhgbq6Oggi8VCwFIPYWaLjEbjiu93u907NmmZYBNSkP8XwCUAXwcwL3PeRq744U2UnQgYMDc3h7e85S34/Oc/z1+TJAkKhQKVSgVmsxlKpRJjY2OIxWJQq9V4+umnAQDpdBo1NTVYWFjA4OAghoeHcfnyZVQqFSgUChiNRrhcLuh0OgwODvJdjrx3IZOPfexjeNe73nVD7/1mlAceeADveMc7Vryu0WhQLpdhs9ng8XiwuLiIsbExjIw8+8jY7XaEw2HY7Xao1WoMDAzgyJEjAIDa2losLi7i7NmzMBqNICLMzMzw75XLG97wBjz44IPQ6XRbe7M7siOryNjYGF75ylfi3/7t34TXWYTEbDZjYWEBc3NzqKurw8LCAk8p5nI5eL1eHu06d+4cJicn+Xe4XC5YrVaeppyamoJOp+P8VEwUCgUeeeQR3HPPPTfknm9WISK8853vxAMPPCC8ziApi4uL8Hg8cDqdmJ2dxfDwMKanp0FEUKvVcDqdcLvdHI5y+vRpnDlzBgCQyWQwMTGBvr4+OJ1OTE5OYnFxkX+vXN785jfjk5/85A5kBZuTgjy7ystERDeUHe/57oD97Gc/w+/+7u8KWC8APJVlNBoxMTGBcDiMiYkJjI+PIxwOIxwOo7e3FxcuXACwZNQSiQTnAWMh/3K5jMnJSVy4cIGHre12O8bGxlY4YADwO7/zO3j88cefs01z15NqtYq7774bX//611c9z1LAwBLRZDgchtFohFarhUqlglKpRLVaxeTkJM6fP4+BgQEAgMfjQTKZRH9/P5555hlYLBbY7Xb09vbCYrFgdnYW1WpVSA0DS+mdxx57DLt3797S+96RHZHLV7/6Vbzuda/jJMJMGN5LkiTMzc0hkUhgYGAAMzMzqKurg8vlwvHjx/mGpKamBoFAAEajkdukhYUFzM/PY2pqCufOncPU1BSAJZskr8iTy3333YdPfepTz8tq4XK5jF27duGXv/zlinNKpRJms5nbJKfTCb/fD7PZDI1GA5VKxTF24+PjOHnyJMbHl6g/o9EoAoEATp8+jcHBQTidTmg0GgwMDMBut2N8fBySJK2wSX6/H9/5zndQKpW2+tZvatmpgrzFZW5ujl73utetCPeyihTG6+X3+3llSzqdppqaGp5SbGtro71791IqlRJC++sdbrebpzGVSuWqnwuHwzQyMrLdQ3RDZWJiYtV2QmycgCV+HafTuaFxBpb4kG677TZqa2vjKctQKES5XI4kSSKtVkt+v19I6SxPIwCgu+++myYnJ7d7iHbkOS4jIyN0++23r6n/LD0VCoVIqVTyFLvH4+Hnu7q6aO/evWs+S2vZJJbGXA6nYEdzczPNz89v9xDdULlw4YJQUcoOhULB7bbP51v1PasdKpWKstks7d27l5qbm/lak0gkKJlMclgEm0+WllxeJSlJEr3zne98XrcywrWmICVJeg8RffQ3f/8BEX1Vdu4viOhP1vzwFsjzMQL2b//2b3jFK17BdyMA+E6FheKdTifGx8exuLiIVCqFvr4+TE9Po76+HmazGYcOHcLs7CwMBgPy+TysVivm5+cxNjaGoaEhDA8PY2FhAURL/C4WiwV6vR5EhIGBAczOzkKn06FcLq/KzK7VavHf//3fKBQKN3JotkWOHDmC5ubmFSkQ4Nld//z8PDQaDUKhEFQqFSYnJzE5OckBxHq9HjabDS6XCy6XC2q1GqOjozhy5AhmZmZgMBiQy+UwNTWFo0ePQqvVIhqN4umnn+bs4cPDw9Dr9ZidnV0B0DcajfjiF7+I3//937+RQ7MjzxP50pe+hP/5P/8nb2cGgPNKGY1GTE9Pw+124/Lly4LuVioVFAoFaDQaHDx4EOVyGRaLBZlMBlarFXNzcxgaGsLly5cxNjaG+fl5zpVntVphNBpRLpdx/vx5VCoVrv+ric1mw+HDhxEMBm/UsGyb/Nd//RfuuuuuFREoADyyVS6XYTQaeQHVzMwMxsbGMDs7y+0WSz3abDaoVCpeAVkul2E2m5HNZjE0NITTp0/DZrPB7Xbj5MmT0Ol00Ol0GBsb4/O/PDrp9Xrx9a9/HR0dHTdsXG4WueYUpCRJTxFR4/K/V/v/jZDnkwM2NDSEe+65Bz/84Q9XnGPYCqPRyKsYo9Eoent7AQD19fW4ePEihoeHYbPZUCgUUC6XcfDgQZ4q8Pv9POTPjCcjZp2fn8fExAQuXLjA8UYOhwNjY2OoVqurhv4B4Itf/CJe85rXbN2gbLM88sgjeNWrXrXqvQNLDpjVauVhfp1OB5/PB4vFAp1OB5VKJaQfp6en0dfXx9uu6PV65HI56PV6HD58GCMjIwgGg/D7/Thw4AAqlQqi0SieeeYZKJVK6HQ6TE5OrooLA4Bdu3bhscceg9Pp3LIx2ZHnj5w9exYveclLcODAgRXn2GbQbDZjbm4O1WoVNTU1OHv2LHQ6HQqFAs6ePYuhoSH4fD6kUilMTEzg8OHDvJIuGAwiEAjAYDBAkiRUq1Vuk2ZnZzE2NobBwUGUy+UVz9pqolQq8V//9V/YtWvXVg3Jtsv999+PP/uzP1vxOtukq1QqmM1m3m5Op9MhGAzCbDZzOARz0hYXFzE1NYXz589jeHgYwBJ8IpfLAVhqTzQ9Pc2rWI8cOcI3mmfOnOGbdrYBlTvoTF7ykpfgC1/4wvOqavWaU5AA9q3292r/vxHH8yEFWa1W6aMf/eiqoVz8JqSsUql42jEYDPI0ZH19PU8VFotFamho4JUwoVCI9u7dS3v27Fkz5K/RaFZNM9rtdoHEdfm1yY/77rtvu4dwS+Rtb3vbmvcsT4W4XK5Vw/ySJK2Zxq2pqaFdu3bRbbfdxtPGAKhUKlE2m+XpxnQ6zVPMoVCIgCVCS5ayZJWX8u9Wq9X0iU98gqrV6nYP4Y7colIul+ntb3/7qrrLdFqj0XDdZGkpi8XCIQ+SJFE+n6dMJsM/m0wm6fbbb6fu7m7e8kZ+KBSKNdOM8hY6kiStWvHHjucikXS1WqXf/u3fXvOe5fAEj8ezags0Nm+rfb62tpb27t1Lu3fv5vOp0WioubmZt44yGAyUzWZJo9GQQqHga5HJZCKFQkFqtXpVm6TT6ejzn//8dg/hDRNcRwpyJwJ2A+XQoUN40YtexCNZcmFpJrPZjMnJSXi9Xly6dInvaE6dOgWDwYB0Oo0zZ85gbGwMgUAAtbW1uHjxIk6cOAEAcLvdSCaTMBqNmJubw/DwMC5evIjx8fEVkR273Q6TyQRJkjA0NITZ2VkolUqoVCrMz8+vGQlra2vDz3/+8+cEEJaI0N3djZ/97GcrzrH7V6vVqFQqqFarMBgMcLvdICKMj49jcnJyRdrW4XDA4/HA4XDAYDBgdnYWJ06c4LvOdDoNr9eL48ePY3BwEC6XC9FoFMePH8fU1BSSySQuXbqEiYkJeL1eDA4Oco4kAKtGKSORCL7xjW+gWCxu4WjtyHNNvv/97+NlL3sZj6DIhUVyDQYDpqenOWed0+mEw+HAyZMnYbfbEYvFcOzYMczOziIajSIajeL8+fM4ffo0gKVofDKZhFarxdTUFEZGRjA4OCjALtjvmc1mWK1WEBEuXryIcrkMlWqJG3x5JZ5c/uAP/gCPPvroJo7M9km5XEYqlRI4B5nI4SkMMmIymeB0OlGpVDA1NbUiaqhQKGCz2eD3++F0OqFWqzE1NYWnn36az3s+n4fT6cTRo0dx6dIl+P1+eL1eHDlyBAsLC0gkEjh//jwWFxfhcrlw6dIlvlZptdpVo2H5fB7f/OY3EYlEtmKYbhq5nhRkBcA0lvo/6gGwUhcJgI6I1Jt8revKc9UBm5mZwf/6X/8LX/rSl1acY46XyWTC1NQUnE4nxsbGIEkS3G43BgYG4HA4EIvFeGqgoaEBMzMznNIgn8/D4/Hg4sWL/DVJkhAOh+HxeKDX6wGAh/sZAevi4iLHZbDScBZmnpub46nL1cTlcuHs2bMwmUybPl43SqanpxGPx3Hp0qVVz7P712q1UCgUHI9isVjgdDphMBigVCqhUCgEokMAmJ+fx+DgIHe2JUlCNpuF2+3G8PAwDh06BAAoFApQKpU4cOAAqtUq6uvrOUVIKBTC5cuXMTc3B4fDgcuXL8NisWBiYmLNufmDP/gDfP7zn98hS9yRdWV4eBh33303fvSjH604xyAQzCaxqkSLxQKPx4NTp07BbrfzTYRGo0GxWMT4+DiefvppKJVKFAoF2Gw29Pf3882hJEmIxWJwu92cvoBVZ7MNzuLiIqanpzl9AgAYDAZOJr2eTUqlUjh8+DB/Bm9FGRgYQCKRWBP7Ju/xWKlUuONjs9ngdDqh0+n4Jpr9y8Zjenoag4ODvFpeqVRyx+vcuXM4efIkVCoVmpqaMDU1xVOQ6XQaZ8+exeTkJHeuJUniqU+GC1vNEZMkCW9/+9vxkY98hJPEPtdkpwryJpVqtUoPPvjgChJP4FmyQZZqNJvNpFarSaFQ8MrEQCBAra2tvN9jqVTiYXmW1mJhYUmSqFAo0B133EHt7e38fZCFo51OJ/n9fgoEAuTxePhvL38PC1uvl4pk50+cOLHdw3xNcubMmVWrDJffH34T7nc4HCvSJSaTidxuNwWDQQoEAmS321eMmcPhoJaWFrr99tupWCzy7/D7/dTd3c3nz2q1UktLC9lsNgJAsViMp4U9Hg/XDUaYyColV0vNaDQa+uQnP7mTltyRFbK4uEgf+MAHVk39La+6tlgsnFiYwRosFgu3Ty6Xi5qbm4XK7O7ubk4grdFoqLGxkW677TZqampakSbTaDTkcDgoEAhQMBgkl8u1wiYtf/bYNa5V6W00Gm/Z3oU//elPr1jBzsZBp9OtsPHs/n0+HwUCAfL7/avCJTweD3V2dtLtt99O9fX1/PVkMkk9PT18/mw2GzU2NvKK10QiwashQ6EQT0Oy84zodTXdMpvN9JWvfGW7h3hLBOukILfdqbqa47nkgP30pz/li+tqB3PKdDod/5vl4r1eLzU1NfH3RaNRrtjNzc38oVGpVNTS0kK7du3inwVA8Xicdu3aRXv27KFisSjgu9Y6NBoNuVwucrvdfFFfCzO2/LjVGud+5zvfueI9sftnxt7tdnNH6Eqf83g8VCwWaffu3bRr1y6qra3l51wuF+3du5c6Ojq4ocpkMtTa2sr1IJPJcFZwn8/H59btdpNSqSSVSsWN3fIFS374fD76wQ9+sN3DvSM3iXz961/nDr78YM840z+DwcCpJSKRCHe82MJcU1ND6XSa26/W1laBEqejo4O6urr4ZkGSJEqn07R7927q6emhfD6/IQoXrVZLHo9H6AiyFqZJfigUCnrqqae2e7ivSj71qU9d8b4kSeL2R6VSkcfjIafTecWNMltTGhoaaO/evdTd3U3hcJifCwaDtHv3bo5HBUDFYpEaGxs5trVUKnFnLhwOc0eMYfu0Wi3Xn/WuJ5VK0ZEjR7Z7uDdV1nPANkTEerPIcyEFOTAwgFe84hWrhvaBpbAvEUGhUECtVmN2dhZut5v3BfT7/Th06BAMBgOcTifOnz8Ph8OBZDKJY8eO8TBwMBjE0aNHeWqgWCxCoVDg5MmT6O/vB7AUuo9Go7DZbACWWPZnZ2cxMzODubk5jiGS9whjuCZgqaJmYWEBlUplTTwYk3e961342Mc+tokjuTXygQ98AB/84AfXPM/uk80PC6lbLBZYLBZOIslSuCz1aDQaYTKZeGplYmICzzzzDCeX9Pv9qK2txcLCAvbv34/Z2Vl4PB7U1tair68Pvb290Ov1yGazOHPmDEZGRhCJREBEOHfuHDweD4gIQ0NDvImuSqUC0VJvPZVKJfRtk0t7ezu++tWvIhQKbfJo7sitIMePH8dLX/pSHD16dNXzLK2l0WhQrVZRrVYRCATQ19fHiTwvX76McDiMxcVFDAwMIBAIIBgM4tChQ5ibm0Mul4PD4cC+ffswOTkJh8OBbDYLIsLx48eFqrtIJMKhC3Nzc5iamsLc3BzK5TIWFxehVqt5ap/ZJPYcrcaSv5Y8/PDDeO1rX7sJI7i18qpXvQpf/vKX1zwvr3hklBPAUtrRbDYLPX+BJRum1+thMBig1+uh0+lQrVYxOjqKs2fPcpsWiUQQj8dRLpfx1FNPYXZ2FuFwGLFYDGfPnsX58+dht9v52jM1NYV4PI6pqSlcunQJXq8XMzMzHLM8ODjI1wzugPym2nW5vPjFL8ZDDz0Eu92+BSN6Y+W6mfBvFrmVHbCpqSm85S1vwT/+4z+ucFTYos5ArXq9HjMzMxzUarPZ4PV6ceLECc7T1d/fD7fbDa/Xi8OHD0Or1aJUKmF8fBzHjx+HVqtFc3MzlEolN3pmsxn5fB5qtRr9/f04deoUvxatVgufzweTySSAWuWM1JOTkwIw1mg0Yn5+nrejWO1BksuuXbvWdDxvBnnBC16Af//3f1/3PXJjp9FoBAZw5oTJKScUCgUkSeIl3pcuXRLwG7W1tfD7/VhcXMTRo0cxNjYGg8GAYrGIarWK/fv3Y35+HslkEh6PB08++STm5+eRzWYxOTmJc+fOwe12Q6vVoq+vD263G8ASjQnD5mg0GgGgvNo8SZKEV73qVfibv/mb51WJ+PNZhoaG8Id/+If49re/vep5SZL4oVQqUS6X4ff7MTAwAJPJxPnrQqEQZmZmMDIyglgsBpVKhZMnT0Kv1yOfz+PSpUt45plnYDAYUCqVMD8/j/3796NSqcDtdiOVSkGSJPT19eHs2bP8900mE1wuF4xGo7CZYDZpbm5OcL6AJZvEukVsxCa96U1vwt/+7d9uzoBushARstksjh07tu772H1qNBoolUrBvrBCKq1WKziuwJJ9n5ycxMDAALcPSqUSdXV13HliHJJ2ux25XA4TExM4ePAgiAj19fUwGAzYt28fgCW86sWLF3Hx4kXU1NRgcXER/f398Hg8mJmZwdTUFF/TDAYDZmZmOMZ5NeyeUqnEH//xH+MjH/kItFrtZg7tDZUdDNg2Srlcpj/5kz9ZNezKQvvLsRUslGs2mykej/MQP0s1+Xw+qqurI2ApD9/c3Czk4Ts7OzkGyOFwUEdHh4AvMhgM1NjYSLt27aJSqbRmuJ+lslbL2UuSRBaLZUMhf/nh8/luOlbkxcVFIeS+3sHmTK1WcwzMauOm0WhWxfYBS02JGxoaqKenhxobG/lcabVaam9vp56eHo7fMJvN1NHRwdOURqORWltbedolHA5zHXE4HJyewuVy8fcwbM1yDMZa1/6ud72L5ubmtntadmSLZGpqiv7wD/9wVXygnO6GdWAAnoU/mEwmnqaUN2ZOpVJc90KhELW0tPB0WC6Xo87OTm7fIpEI3XHHHdTS0sJ1kdmxnp4eKhaLq9ImsGdEo9GsapOUSiVZLBZ+bj1qCvnR2Nh40+EhJycnhcbm69kjeYqYpXWXH2q1mnQ63ZrpP4/HQ01NTbRr1y4qFovcrrMuKp2dnfy77XY77dq1i9sdu91ObW1t/HwikeDwGr/fz/92Op18nWJrHNOJ9eZMp9PRxz/+capUKts9Ldck2MGA3XhZXFykBx54YF0MDnsYGEiVGTaDwcAdApvNxh2kUCjEsRQMRwQs4R7a29u5U6bT6ai7u5taWlq4QieTSbrjjjuEVjcKhYJqa2upra2NWltbqa6ubsOtKgwGA9ntdsEBW4uzZ/mh0WhodHR0u6eIiIjGx8e5Y3KlQ35/arWa7HY7NyhXOqxWK6XTaWppaaG2tjaqra0VjE6hUKBdu3bxRQwAFQoF6unp4YY4kUgI85fL5SiRSBCwhP9iLUKsVis3enJHjC2WTN/Ww2LodDr66Ec/etM5yzty7TI/P0//5//8n3U3g3IQN1s0gSXHny2wfr+fn89msxx0H4lEuA0yGo3U3t7O9dBsNlN3d7cA6o7H47R7926BG0yj0VA6nab29nZqbm6m2tparrdXOphzKN9gbNQJczgcVC6Xt3uKiIjo5MmTG75u+Vwy4D17vq90uFwuSqfT3P7L+SFZq6g9e/Zw51utVlNLSwu1trby381ms9TY2Mgd9mKxyFumydcrl8vFdcFut3P9YY72RmySzWajhx9++KZzlq8k2MGA3TipVqv4zGc+gz/5kz8RQuNyYWFXhlewWq0YHx+HTqeDzWbDxYsX4XA4UK1WMTY2hkgkgvn5eVy8eBGhUAgmkwnHjx+HxWJBKpXiLWySySQcDgeOHDnCGYuTyST6+vp4R/tIJIJQKMRLwhlewG63IxAIQKvVolKpYHp6GtPT05iamsL8/DwqlQqICFqtFhqNBmq1mjeTZtiC5S1xriQHDhzY1vZFhw8fRqFQWBe7JhdWfg8s3SvDfLEULUuPqFQq6PV66PV6mM1mTkfBqCcY3kWr1SKXy8Fms6G3txenTp0CANTV1cHv9+Ps2bM4d+4cjEYjisUihoaGcPLkSRgMBmSzWZw9exbDw8OIxWLQaDQ4ceIErFYr3G43Tp06BaPRCKvViv7+frhcLhARLl++vKIsfL15M5lMuP/++3Hfffc9L5uuPxekXC7j/vvvx0c/+tFV+ZiAZ3FezCax9DVrjj05OQm/34/h4WEsLi4in8/j/PnzGB0dFXA/jM3+wIEDKJfLKJVK0Ol0eOqpp1Aul5FMJhEMBtHb28t5rOrr6/l3HzlyhKeivF4vp6Rg9BOTk5Mcq1qpVKBUKnlXCDlOlaUe5c/slUSpVOLChQvwer3XP+jXKN/61rfwohe9aMPvl6futFotx84xWg7G16hSqfh5o9HIO6DMzMzgwoULmJiYALCEC66trYXRaMTZs2cxMDAAYAkq4fP5cPr0afT398NmsyGXy6Gvrw/PPPMMrFYrMpkMjh07hrGxMdTV1WF+fh69vb1wu90wmUw4e/YsbDYbjEYjLly4wNtPzc/Pc0oTpn/rzZvD4cCnPvUpvPKVr7wluCZ3MGA3QKrVKj73uc/hve99LwepLxe20LGFjymdVquF2WzmJIblchmTk5OIx+MYGxvj2IpqtYre3l54PB6EQiHs378fkiShqakJo6OjOHnyJMxmM+fcYVxSxWIRVquVAyeBpQfK7XZjcnISp0+f5lgmSZLg8XhgsVg47kLOD0ZEqFarqFQq/DqZAWAFBFfCXcjln/7pn/DKV77yeob+muTRRx/Fy172sg2/n2G52L0qFApYLBbOAcZwMnJuHeacTU5O4tKlS3xcjEYjEokE9Ho9BgcH+ULk9XoRi8UwMzODw4cPo1qtIpvNwmaz4cCBA5iamkI0GoXP58P+/fsxNzeHfD6P8fFxjgVzOp04fvw4jEYj/H4/Tp06xXtPDgwMwOl0gogwMjLCjd1GHDGj0YgPfehDeOtb37rjiN0iUi6X8cEPfhB/9Vd/tabjtdwm2Ww2jI2NQa/XQ6lUYmpqCn6/H0NDQyAiZDIZnDlzBtPT06irq+OEqQzHxXSvUCigt7cX/f39sNvtyGazGBwc5FxSDIt66tQpjIyMAFiySS6XCxMTEzh9+jQH06tUKng8HphMJm5jFhYWsLi4yG0R/QYfxtqosXVNrVZzu7VR+cUvfoG2trbrHP2rlysVAC2X5faWtR3SaDRQKBTcLrEiKqVSCUmSsLCwgPHxcQwNDfHvslgs3PG6cOECJ8mNx+MIh8MYGhrC0aNHIUkSGhoaoFarsW/fPpTLZWQyGej1euzbtw8KhQINDQ24cOEC+vv7EQqFoNfrcfLkSVgsFrhcLpw5c4YT6vb19cFisfAiC9bfk+njlbgmH3zwQdxzzz03tSO2gwHbQpmfn6cPfvCD66aiWEicpevYe7VaLcf6uN1unq6Mx+M87VRXV8dDwDU1NTxcbzQaqVQq8ffV1tZSe3s7/414PE49PT38szqdjpqamqi9vZ2nOiVJomQySa2trZTP51eUoCsUCs7DEw6HKRwOUzAYJJ/PRw6HY9X06tViwgDQW9/61hs6Z+985zuv+hpXuy+DwUAOh4O8Xi8Fg0EKhUIUDofX5Pyy2+2Uz+epra2N6urqeNqH4fTa2tq4bvh8Ptq9ezfHWeh0Ompvb+fl/SaTidra2njKOB6P83NGo5HS6TRvNcLSlFqtlqeLHA4Hn2+W0mT/rpdKNhgMdP/999P8/PwNnbMd2bhMTU3RO9/5znWfRTbHbM6ZHdHr9fy59vv9pFQqSaPRUCaT4S1nUqkUTyHlcjlONRAKhYQUeaFQEHBe6XSadu3axXXWarVyvWfpTaVSSZlMhtra2iiTyazANDHer2AwKNgkr9dLDodjRfpNTs1wNcff/u3f3tA5e+ELX3jdNkmSJDIajeR0Osnn8wljFAgEyGazrcB9Op1OKhaL1NLSItAi+Xw+am1tpUKhwO1YKBSinp4eDpMwGo3U2dnJbZTT6RRsWH19PU9rOp1Obp/0ej3/jMFg4N9nMpl4+yKmX3K4zFrjYLfb6cEHH7xp4RLYwYBtvkxMTNCb3/zmdR9upjRy/hz2f2ZYPB4PPx+Px0mr1ZIkSVRfX8/fU1tby7m+XC4X52PRaDQcT8QUuKuri/fqUqlU1NzcTM3Nzfw3LBYLz/kzoytJEkUiEd57cC1eMNbvzWAw8Otc/h61Wr1hLJj86OzsvCHztnfv3qu+NtZ/c7XXtVotGQwGMhgMa+qCy+WiTCZDDQ0NfB7ZfDU0NFBTUxN3htRqNZ8z9n2xWIy6uro4XoI523KQM8NauN1uKhQKnAQxlUrxOYnH4/xemCNmsVj4916NI6ZWq+mP/uiPaGRk5IbM245cWfr7++nuu+9ed7GSc/ixRZTZJua8+P1+DsCvq6vjulRXV0cqlYqUSiUVi0W+eayrq+MbQ4PBIAC0XS6XQCis1+upra2NGhoauP1ghK3FYpEvvAqFguLxOJVKJUqn02tiUxnRJ+uJulZhyUb4Cpcfr3vd627IvK3Vm3e9Q6VSrYnl0+l0fD7XcsJ9Ph/lcjkqlUpCAZLNZqOWlhaB9Jnh9+RzlsvlqKOjQ3DEGxoaBBvGsGCBQEDYHNbX13Odkm8wmSNmMBj4nDGdZPexnm7r9Xr60z/9U5qdnb0h87ZRwY4Dtnly4sQJeuELX3hVRo45XhqNhhs8r9dLKpWKFAoFxWIxrpD19fV8AZQ7Q+FwmEcyrFYrtbe3c3BqMpkUol/19fUC0aHP56Pu7m4O0mavNTc3C5EYhUJBNTU1lMvlKJVKCeStV3Ncy44TWHIethJguVrD3628H5fLRalUijtI8qrX+vp6amlpEYxffX099fT08Dk3m83U1dXFFzdWJSmvPurp6eFA6WQyKURIi8UiX5SSySTXq2g0ynWPEbrKQdZXY/QkSaK77rqLTp06tWXztiPry/79+6mjo2NdXWRzyHSZbb6MRiPXC7ZgyiMUer2e2w2dTkeFQoEvuoVCgROxBoNBuvPOO7kuxuNxam5u5k58sVikjo4OrluBQIB27dol2KRYLLZik6JUKikajVIul6Pa2tpV2d2vdKzXdPpKR6lU2rJ5W1hY2DBgfvn9XItNYs97Op2mXC4nFPwYDAYqFArU2NgoOLuZTIba29u5bbDZbNTR0cH1w2QyUWdnJ98Ass4e7L6y2SwPENhsNsrlcrxzSzqd5h085Gug3Flnzd7layjTi7XuU6VS0ctf/nLq6+vbsrm7GsGOA3Z9Uq1W6dFHH+VKt1Ejx5SG7c6YkWNRCGa8dDodpVIp/mDl83nuqNXV1XHHIRAIUFNTEymVSlIqldTS0sKjXexBYN+p1+t5apFdXyqVora2Nh79YIt2U1OTYPQUCgWFQiFKpVIUi8XI6XRe1Q7yWg0Ee3g2ewdTLpev2QAzA3E1n3E4HBSPxymVSlE4HBZ2qvF4nJqamoRdr91up9bWVj6XAHh1ElsoI5GIQC8Sj8epoaGBFAoFKRQKamxs5M6cz+fjlUlKpZJyuRz/XCwW43+Hw2G+mDKd0Ov13LFnOsjm8krjEIvF6J/+6Z9u2XLxW0nK5TL9zd/8DXea1nsW5QsWm1vW2ozZFWav2EJqsVgElnu2cKpUKmpoaOCOFmOwZ89XNpvl32e326mrq4tfo81mo/b2dr6RlCSJL/Bs0ddoNJTNZqmlpYVfC3s9Eolwm7QaY/96B+sQcS02wGazbfrGcGRk5JqicvLncaOHQqEgt9tNiURCWE/YuXg8Tvl8XtgM+v1+6urq4g4yszHyFHMmk6GOjg6hKptFwTQaDbW2tvINXigU4muRTqejbDbLO6nU1dVxOxSJRPj6xhwxnU7H9etqNofsmr773e9ua+Ukdhywa5PBwUF6y1vesi6VxPKHnBkyYMkpYg+9fIFjOw85z5fRaKRsNktKpZIUCgVls1kh5cQiGwz7w3aC8XhcCAVns1khGhaNRqmjo0MoJ29oaKBCoSCkIdLpNNXV1QncMxqNhkKhEMXjcQoGgxvipZEb/mtJRbLjzJkzmzaH13oNV3v9JpOJgsEgxeNxCoVCAr2F0+mkTCZDtbW1Ah9XPp+nlpYWrjMul4s6Ozu54dNqtdTR0cHnn1GOsPMMP8YWpEQiwR05s9lMTU1NQi8+ttAFg0GuQ36/n/8+i3qqVCphA3E146HT6ehNb3oTDQ0Nbcoc7sizcu7cOXr5y1++IWdCTsPAdM5sNnPuKBZpNZlMAjaQOUwul0uglWhoaODf09zczNuh6XQ6KhaL3D5kMhkB+1UsFqm1tZX/P5vNUltbm9DntrGxkaep2O+lUimqr68XOMH0ej2Fw2GKxWLk9/s3TANzvTZJoVDQ9PT0pszhr3/96xtmkywWC+cKDAaDgt54PB7K5/MCpk+v11NTUxMVCgXu6DE8GHPcjEajEAVjlCNsXfN6vdTW1sa/s1QqcZtks9moVCpxrFc6neZzKMc+h0Ih/h6mjyy1KrdJV+r9yQ6r1Urve9/7toX+CDsO2MZlYWGBHn74YSE0fqUHkykAUzgGdlQoFJyDSU6kykCk7G9m5PR6PeVyOe4YFQoFvgtkDwE7JzdY7AFgUSyz2Sz8X6PRUENDg8C34/P5qKGhQdj1eL1ezi0l32XZbDYKh8MUCoVWbTp9JaN3rcbm61//+nXN5Y9//ONr/u2ruW6lUkl2u52D8OW7c5ZCqa+vFyKPwWCQmpubuVFjuL9SqcR3lOFwmDo6Onj4PxQKUUdHBzdSqVSK92NTqVTU1tbGoxbMuLJoZGNjI3e4YrEY35l6PB6uly6Xi0dI3G43N25sAZT3/pTr/Xpjk0wm6e///u9vGo6lW1FmZmbo4x//uJAyWs8Wyfnl2BzKCy6YHsgLMVhhDdNNZnecTqegR/KFl51jUdjm5mYe2XU4HNTZ2SnYvI6ODmERb2lp4bYPWNosNjc3C9CHYDBImUxmBVGyw+GgmpoaCoVCZLPZripKfbURbflxvan2z372szfEJqlUKnI6nRQKhSgUCgmbZ61Wyzdq8iKHUChEDQ0NfM1SKBQ8qsXWg3Q6LaSS6+rqqL29ndushoYGzk9pMBiEQqFkMkmlUolfg7yILB6Pc72U21C/389/y+Vy8XWVfY45ZIyHbCNjk8/n6bHHHrthkXrsOGAbk3e/+91X3FkuTzPKQeds8dLpdHzRcjqdXMkDgQCPRPn9fiFvzggKNRqNakeVswAAn29JREFUsFgmk0kqFAoELDlo7e3t3EDFYjHq7Ozkyl9fXy/gLlgon52vqakRHgitVkv19fU8F89+PxKJUDQaFR5aBtwOBALkcDiuOZx/tcd73vOea5rLv/zLv7wh16dUKnmlqM/nE9jvLRYLJZNJikQiwk6NgZaZM22xWKixsZE7zIzwkBVbsHRzLpfj+tXd3c3f7/F4qKOjgxujbDbL38uwYPIIKdtR+nw+roNWq5UvjjabTdg4sO9lRpFhNeTPwZWMn1KppD179tAPfvCDW45IcTtkcXGRvvnNb1JLS8sVx1benYE9w2yhYnbIYrHw59nn8/GoQyQSEdLTLCoWCoW4c2Q2m6mzs5PbjWg0ynE9bLPHztXV1VF3dze/FvmCLEkSFQoFKpVK3I7W1tZSqVQSIhvZbFaAe2i1WorFYpRIJISIl06nI5/PR36/n+x2+3U5VldzPProo9c0p6961atuyPWp1WpyOp0UCATI4/EIttpqtVJtba1gk3Q6HeXzeaqvr+drh8/no5aWFgEj2trayudFq9VSS0sLTyebTCbq6OgQKvZbW1sFPZDbq5aWFm7/crkctzfBYJB/h7zRusPh4GuinACcra2sOIT9zezUeuOk1WrpE5/4xCY/uSsFOw7YxmQjUS82qfIQKPvbbrfzBVi+GEciEYFighm5QCDAldJqtVJDQwP/TLFY5LtJl8tF7e3t/DtKpRI1NjZyJWpraxOY8+VOms1mo6amJqErfaFQEDBIPp+PstmsAHBlqTS5E6ZUKsnpdJLX6yWr1Xpd0a2rObq6uq5qHq+lpPtaD4vFQl6vl5xOp/DAW61WqqmpEaJeVquVCoWCEMlIJBJUKpWECjR5BZLb7abW1la+wIVCIWpvbxeA0PJdZVtbm0AL0NLSwgH38jmOxWLcmNpsNqEsXB45Zd+l0Wj4NRmNRm5Y2XVfzeKn0WjozjvvpO9973s7eDGZLCws0GOPPUZdXV1X3OCwZ0/eiobNhVar5X87nU4+Vyytw/SO2Ro523xtbS2Pzi+Pusud90AgICywLS0tXA8Z/pTpvs/nE9LkTKeZHbRYLNTQ0MCjtwA48F5eqR0IBCgejwvM+Gq1mtxuN3m93quCSFzv8Za3vOWq5laO79zKQ6FQkM1mW9UmeTweIdLEnv1MJiNUvicSCSETE4lEqKWlRUgPdnZ2Cm2o2tvbuc42NDQIdDktLS18I1BXV8c3h3q9XrB1iUSCr2NOp5PrIcvAsM8wvTIajfx7zWbzqmvzlcZrz549W/Q0PyvYccA2Jnv27FnVyMk9amZwjEYjn3DmpcuBgyz1xIDQdXV13IFKJBLcQQoGg1whtVotNTc38+9jVUHM0MjD/y6XS+BcyWQyPB0lSRKVSiUOelQoFJTP54UUZDKZpFwux+/HbDZTMpkUwv9Wq5Xi8bhQFcOcMKfTuWavQ3bPDM+2GYbF4XBsaA6vtdJxvXtYy9HUaDTkcrnI7XYLKVuHw0HRaFTosenz+SiVSnEjxigi5Dv9+vp6ymazfMzq6+s50F6SJGpubua6YjAYqKOjgy+Ifr+fWltbBceMGUGr1SpwLSWTSa6nHo+Hv0+n01EymeQppVgsxo1wIBDgO0xmrOWpAHmxwkZxGey9nZ2d9PnPf56mpqa29Pm+GWV0dJQefPBBamxsvKrUPtM3OR0Bm19JkgRQO1uwtFotX8jUajXV1tZynE0mkxGi7nLAtBzfVV9fz88ZDAbq6enhUVSv10ulUonfR1NTEzU3N/Pfa25u5hETtVpNxWKRR9JYZLi2tpbrkc1mo7q6OgEDZrfbqaamRnhNo9GQ2+0WnM0bYZMKhcKG5vhaKh2v9R6MRiP5fL4V/X0ZRELuvIZCIaqvr+frktFopHw+z+eT0Y0w55G1GmLZGlaVzTbzdrtdiJTG43HetoitSWzz6fP5qKmpic9XsVjkttvn8wm9b5mNVKvVFIvFeHSXvZ/xVbLnQb4RkdsZ9l75uLz+9a/f4id8xwHbsLzmNa9ZgXFhRmj5giPn8rJarQK5IDNyBoOBkskkx+hkMhmBYJVFGhwOBzU3NwuLJ1NAVkkkN45yp6ylpYUrtdPppNbWVgFc3dTUxL/X5/NRPp8Xmn7ncjm+A2ELsNwJMxqNFAgEhAdXq9WS0+lcdcepVCpJp9ORVqu9LhD+WgZovfTVZqdFGQnlak1sJUniqTq50dfr9eT3+4UFwu/3Uzwe586MyWSiXC7Hx9lgMFCpVOIGRa/XU2NjI/+/0+lckQJqa2vj31cqlYQ0dVtbG3eSotEor4hkvHByQ8eivkajkTKZDDeWtbW1fH7l9yNPqVssFgHcvXwHKn+ONhot9fl89MY3vpF+/etfPyejYwsLC/TEE0/Qq1/9ar7RutKxvJJRbpNUKhXfhJlMJiHyxebJ5XIJEXE5MW8mk+ELVT6f51EoOb5LqVRSU1OTgEft6ekRombMiTebzXTHHXdw+8VsG7tGtqmUR1fkBUF+v58ymYyQkpSTUbPv9Pv9QmUzc8JWa+LNGlGv1cT7eg6j0bjmXJfL5U39LaYDWq2WdDrdqk6YxWJZkY41m81UU1Mj2PBwOMwrDplepNNpgfurVCoJfWSbmpq4M+/1eqm1tZXPU11dndATsrGxkesZo65g311bW8udOIPBQM3NzXzekskkt0kWi4Xq6+s5/jCdTnO9r6mp4b/t9Xq5flmtVm6P5Vma1SL1kiTRBz7wgS1/5nGzOWAA/gDAEQBVAM0b/dxWO2BvectbBIZoNnmscogZM3menBkB+e7C4/FwJ8xisfDqRlb1xnYnkUiE7yY1Gg01NzcLjW3lu4fGxkaumHa7XeBmyWQy1NzczB29hoYGrvysqoXl8llJudzpqq2t5dfEInfy8na73b7C4DGnU+6YMOK8a6V82OgxMTEhzNvs7OyW/h5L6cidCBbqX46Tk1cXMuMQDoe5zlitVqqrqxPS1nLH3OVyUUNDgwBOLRaL3LCVSiWOzWEgV7Y4hcNhwTErFotcDxjVBTNajOuN6TcjR2RM5HLcItMFi8XCnTe1Ws11ValUckMtSZIQiZGXi8vTZhsZd4VCQeFwmF73utfR9773PZqbm9vS538rZHp6mh5//HF6+ctfzglON3Lv8o0g+1teVSsHT7vdbh75DoVCXNei0Sif73A4zPXE6XQKmNOGhgaus8vxXW1tbXxxTKfT1NrayqsJGxoauD6Ew2G64447VsWJabVaampqElJKjY2N3AaxDhHMfrJnRE6DUlNTI0R1XC4Xp/Rhr5lMphWbQoVCcUNs0vLNwunTp7fstxhJrlwf2Dgtb8atUqkEzB+wtD4Fg0GuVx6PR+Cf9Pv9lMvlBOxwqVTiY5hOpzk+lQUBWBSMEX2zuWU0R0xn5PQiHo+HGhoa+BpSLBa5jrCCMGZD6uvr+f1Go1GuZy6Xi69tDBPI7pvptFKp5M+BnI5EqVTSxz72sS23AbgJHbB6ACkAP8RN5IC9613v4pMjf2gNBgN/sE0mEzdkWq2WK5NCoaBkMsmNCIt6AEu7pEKhIPClsOiX0+kUaAjy+TxXblbdKE9JNjU18YWyra1NKO9tbm7m3xOLxbgCs4eGOXAsGseUlVXFMEOrVCp5dRF7aJ1Op5CK1Gq1K3BgCoVihVGQG43NNEJPPPEEERE98sgjm27clr+mUCjIaDQKu2eVSkUWi2VFtah8jBgtBXsPq3iV4wTr6+uF9lHZbJYvpvl8nuuJxWKh1tZWvggFAgEByCpPDTDQNNObaDRKxWKR7yTljn5NTQ1PczKCWDlAm20kTCYTJRIJfm1yXKPdbuefMRqN/FlhnROYTq3GJ3a1emEymahUKtF9991H3/nOd2hsbGxLbcLVyPDwMD322GP0xje+kbLZ7Ibpa5aPhRzXpdVq+XgxhnCmD+xZY1EPZrfkMIhkMsnfx6gIgCUnJ5fL8e/LZrPcHgSDQc43KEkStbS08AiXxWKh5uZmPsfFYpF6enr4e3O5nPA98i4cqVSKwyAYPx2L3rOCIKazer1eqNLTarUUCoUE58LpdK6gqLDZbMJzqlaryWAwrKpnm22Tfv7znxMR0ec+97ktt0ms6l5+TqlUChEgYMnJkdskl8tFoVCI65TP5+MkqMBSIIE958CSA8U2fKyams0ZwxfL2+Gx9UmhUAh8h06nk9rb2wXIDAs+sCDBalQ6y9fO2tpabrtsNpuQLo1EIvzePR4Pt41Wq5XrjZyTU6PR0Kc//ekttwu42Rww/uM3mQP2/ve/XyB6Y4rLuEiYsZLn2G02G1cypVJJqVSKG4VAICDky+U7zVgsxquDNBqN0IvL7/cLhHesHQczgF1dXTzFxFoIsQektbVVaEsj5+4JhUJ8V8quge1gVSoVRaNRbvDUajUFAgGuxKysWf5wWywWYTFVqVQrdpo3qjJps4/lqQq1Wi3cG9thybseyKkbtFotBYNBoQUUY6AHlnZ4DM/ADB1zdhjjONMxr9dLxWKRf1aO72Js+fKUI1s8FQoFtbS0CJHT5uZmruO5XE44J4+QMRJZZsDS6TRfZBOJBNdji8XC9ValUlEgEOD35HA4+JjpdDqB/0yuR9ebFmI0IIVCgV75ylfSRz/6UfrGN75Bx44do7GxsU2puqxWqzQyMkKHDh2ixx57jD784Q/T3XffTZlMhqxW6zXpuXzxlEeSlztd8jFkixQba/a+QCDA587tdnObxKIH8hQgi4oybi957z5mr1hbM7bYhcNh3opGqVRSV1cXX0BZS63VvsdoNFJzczO3pT6fT+gvmEwm+SZDqVRSIpHges+qH+XtksLhsFAA4na7uf4olcoVlBQajWYFfOBWtUnL72P5valUqhVQEYfDIUADlm8II5EIPx8MBvlcKBQKymQyPPpttVqpVCrxuUgmkzzluNzZstvtQspRXsnPCFrl5OItLS38mgqFArc7brebisUit2W5XI7bOTlHHcNYs3t3Op38fTqdTsjmyGmUjEbjDen5iR0HbGNy//33C2Fuj8cjRL7kXDTRaJQvQi6Xizc/ZtVmbBfocDg48RxTMHn0azmQnimqTqejtrY2rjyME0qO12CLp81mo87OTqHShDllGo2GCoWCwPcjbz9UU1MjRPQikQhfKBmgk92z1WoVQvxyNm12zWstKrfisdxQLwd1ysdCr9cLaSFWKco+V1NTwxdSl8vFjRUjI2QLHauUlDtCLGrAqobYe4PBIDU0NHADJY+ILgfep9NpngpgaWpmpGpqaoQIWVNTE9eJQCDAWdAlSaJUKsWfEYvFQolEghs0Od+QwWBYgdth+sBwdfKxY3+vV/RwrQe7L4PBQDabjXw+H0WjUUqn05TJZCiXy1E2m6VMJkPpdJoikQifP71evyV6zBYu+bPD/pb3FdVoNCtS2kwPrVYrtw9qtZqSyaTQ6ozZBwZ4Z/MWCoU4FcTyVGIwGFzR448tdFarlXbv3s1/MxgMUqFQ4DolTzMGg0EhHZ7NZjm+zGQyCd0+gsEgv1bmhDF7xZwGpmMWi0XAztlsNuG5lGMRlz+zqz3Tt9oh36zIuSfZvcptksVi4c+/QqEgv9/P38/WMzYefr+fR7YY3orZL9bLlj0HdXV1QseEpqYmoSJSbmdaW1sFbjg5JlleGGY0GgWKpHg8zs/pdDoqlUr8N2pqaoR+x/LiJrfbzfVMqVRSTU0Nty8Wi0UIqjidTvr85z+/pT4F0TY5YAD+A8DhVY7fk73nh7iCAwbgjQB+DeDXNTU1WzlO9NGPfpQcDgdXWsaJxRTG7XZz54kBldliaLfbhdJdxizPjEhTU5PAXs8cJKakco4Ueag2n8/zSJlOp6OWlhYh2sEYptkuRA58ZL+/3ClkQFy20MmJ7wwGw4odA7sWORUBe6+8ukRu7DYb7HozGDw5EalSqRQcB3k60mg0rqiAlBsB5sgvjyY5HA5KpVL8N+vr6/lcuN1uamxsFGhK5FGGxsZGboRyuRy1tbUJAGp59VFnZyef03Q6LfSWbGpqEihTmKFTq9U82gMsbR5SqRSf/5qaGr4wLnc4bTabUOZut9uFwhZ5KpsVccjH/3pSljfLsfw+5CBqhidk98YcRfZer9fLFx+9Xk81NTVCNF5OMbN84cxms/y9mUxG4H2Tp48ymYxAZyInRI1EItTd3c11OJPJcIfJarVSa2srv77lm8hSqcTtaSKR4BF4FpmTE/+yhVqhUFA0GuXnLBaLYJNcLhfXEa1WK0R9DAaDMK5y5/lWd77kusT+Xm5z5c+O3W7n9282mwUev0AgwN/rcrm4TVKpVEI0yev18uCCSqWiYrEoVPCXSiUBwyWPXslJo7PZrOCYlUolgTOsubmZ453lnGEME8tsq5wjzmAwCFQlckeefS97Flj0lOmA0+kkm81GjzzyyJb6FEQ7EbANywMPPEAKxVJDajmmRc6Zw1JHbJJTqRQ3aiykzyY9FApRY2OjUIbLlIcxQ8ujVozbS61WU1tbG1dCxpsjr5JkODGTySTgxOSgaYfDQfl8XsAYsYXQbrcL4Wb5TsFut/PrUqvVAobAYrGsik+RLzBXw0p8KxxyQLTc4WSOiiRJQpRCnnqzWq3cGdPpdELlkTyKyhwaluLJ5/N83MPhsNCKSM5WXVNTw7m+AAgYnFAoRHv27BGiYExvDAYDdXZ2CqkAxnjOoiJsJ2m1WqmxsZEb5VAoRJlMhs93PB4X2oXIsZBGo5FqamoE59Tn8/ExNRqNgn5pNBohkrjc0WWLxPLFdDv1bflvs4Ib+Xm9Xr+CJ04ePXY6nQJeTs4Azhxa9vzb7XZKJBKC88vmijnK8qpHeURVng5SqVRCD1GXyyVEKBoaGgS+webmZgH6IMejtrS0CIsmW5hXox9gRSUqlYrS6bTghMmLPOSOpjwbodPphOdN/rfRaBTog1aran8uHfJIKqvaZvcuf44cDocADWDnTCYTnxtGPcPWPhYpBpYc/0KhwM/V1tZyZ3o511cqleJBA9ZKjekY6zEpx42xoAED8Mtb8MnpUOSRebfbLXQNSSQS/HsUCoVQOcvYCOTPD7vnr371q1vqUxDtOGAblve///1c2RKJBFcSo9EoVK4x4lJ5v0UWjVAqlVQqlbiTxpRTHv2SV4U0NzcLOJzOzk6+U1meSmxra+OKszzEn0gkuCGLRqP89xm9gJwUln2/0+nki7VGo+HpA3aPbBGx2+3CAirHObH33+id5u/93u8REQkNe7fSyLG/2XizSiQ25/IqG2ZAJEkS0nCBQEBw5JnjYbFYBMxONpvlhi6RSAhkvY2Njfy36uvrhUiEnKoiEonwc2azmfbu3csXaa/XK3DwNDU1CYUfjY2N3EAzjCHThXw+L1S35fN5rkMGg4HS6bRg3BOJhNBnTu5IsEpKuYNls9mEiIZSqSSLxbIC66LX61dEWRlP30aY49nCxTYLq712JZ1Y7bdWuza1Wr0CL2m1WgUAOevHKMenyKOIbCPIxs7hcFA6nRYq1TKZDL+ebDbLcYJarZYaGxuFHo/ywp90Os0XOq1WS11dXcLmr6WlRdj8yYs9Ojo6BNsmpxeQk2zKqSqMRiPV1tbyMa+rq+M64/V6BSA+0y2FQiFEUeURQ5PJJGDmlj+ry5/hrTqam5uJiIT2Slt1yO+HPcdyB0xeACPPXMh54RhvJXu2gsEg10l5tkev11N9fT3/nVQqJeiSHNOXz+f5OhIIBIQ2RY2Njdwx0+v11NXVJeCVGdSBZXOYvXK73QJNk5zMlWHD5BQ+cmZ9s9lMqVSKXwPDbLN7+exnP7ulPgXRTeiAAXgJgD4A8wAGAXx3I5/bagfsYx/7GDcEbDFhE8nCnWyBs9lsQiTC4/EIjY8ZSJFhWhoaGgTMltxwJRIJ3rx2eSrR6XQKodz6+nohxF9XV8d3enJuKb/fL/D9yHfMiUSC36fH4+F/y8PUer1eaK0kf5jZQ75ayvFGRCK+8pWvCPP2ne98Z8t/czUuJvluk42FwWDgY2W1WvmCYLVa+djK6RzYwspC83V1ddzQJBIJvgCxdBIzUKVSiRvS5ZgeebNuxnTN9LCzs5NHNfR6PTU3N3M9rK2t5YzWjPqEpSAZNxlbBFlkhd2TzWYTSsXtdjul02mhMX0ymRRah4TD4RWLqrzYhY3VckZvtrtfrcqQUYZsJe2AVqsVwPHyw2g0ksViEfSEkRcv78e3nF/P6/VSMBjk98oiXXKuteUObi6XE6KoxWKRO++BQEBI38jhDMsLdjweD/X09PDvrq2t5XaGdVhgC2soFOIs+JIkCT1rPR4PNTc383PFYpFvGhl1BJvXVCrF9TkajQqUPuweHA4HHyOz2SxsitkzJ+cclKfgNtqSZjOO06dPCzaJbeZvxCF/XuQtwtjr8k2zzWbj4yyHlzgcDr62sT6bwLPVqHLni0X0fT4fd6o1Gg2VSqVVKxlZQQd71hOJBHV1dfHraGpq4tyWWq1WSCumUilhcyCnsWDcZEz/WX9jdk8ej0cIlDD8M/u/3W6nf/zHf9xSn4LoJnTArvXYagfs7/7u7yiVSnGniuEUmCeuUqkol8vxaAXLibPFjoGk5WW68j5psViMO1psgZNXs3V0dPDfjsfjnNtreYjf4XAIeXA5b1RtbS1ftOXpUoPBwFmmGb+SHDwtD/Wz15dTKrB7loOp2Xl5+nErjc2FCxdWnbvh4eEt/d21KAKYsZN3FGCfYcZIkiSBPV4OnI5Go1wfkskkd97i8bgQbmfGTKvVCszkqVRKIC5saWkR8IOslyCjHmELbH19PfX09PA5XE7C2d7eznfDjE6ALW6MDFgeAS4Wi/z/wWBQMHxut1vA+2g0GorH40LXAovFQjU1NYKTwmg85KkUYMmZleOA5IfRaCSbzbYiarZZB4tm2Wy2VRnOjUaj0NScHXa7nYLBoPAZ1q5KztEUCoUoFosJ0ef6+nq+yBgMBsrn81yHtFotZbNZPpYGg0EgTTWbzdTa2io0XG9ra+PXV1dXJ0TkGxsbhahEZ2engOORUwfInXc5ez47x/Q/HA4Ljb6ZI2cymfhvMZ1g9kmO+VqOHwSWnFo53QkbL3mE+mp55671WKvR/M9//vMt/d3VSI6ZHZJjDOVAfDYPrIUTey+bE51OJ3RLkG/ck8kktwnhcJivQSwyL+83y77D4/EIlYxtbW08gu5yuWjPnj1cN+PxOPX09PBnZPlaJi9YY5RM8ibhctolRvbK/s8cQjn9Rl1dHX3729/eSpeCiHYcsA3Lgw8+SGq1murr6wWcF+NnYg95bW3tigVIrgzZbJa3BQKWaCTkpJcdHR1CBdpyVnN5Cxl5OW8kEuGGlpHYMbxJNpvlD0c8Hhd2nexvo9HIHzS9Xs8fEtZSh70ux+/I2dvZQ7y8EfONwlcsLCysO3+Li4s35DqYHsjHgY2BnDySjZnFYuFGxev1ckMlT0mGw2Gh1xqbD6/XK2Ak5I7Ocs4lVsnIKtLYIlZTU0O7d+/m8yrng3K73bR3714B28MwOoCIN2StSdj1MDCtnF+uWCwKKZhoNEqpVErQo1QqJSyqbrdbSKGze11OvgksObXBYHDF62zxcDgc5HK5yGazrclJdz2HXq8nu91OLpdLaAos1w23272q4+h2u1c4XKwgRo5j8vv9AuSBpYDYc8wqZxlnHPAsr5Kc94+laRgOi+EIGRecfEMnJ3aWO2UqlWoFeWZzc7Ngr+TYL2YH2YaC3au8pVkoFBKqxJkuGo1Goc8fewaMRqMQSWXPn7wN1vJn8kZF5K8kk5OTW/r77GD3ye5fnp1gcyDvESqPhMk33eFwmDtc0WhUYJ5n61AwGBR6D8tT3c3NzfzZlENz9Hq9ECjI5/NCm6pdu3bx99psNtqzZw9f65ZX9DY3N3MnjgU9lm9A2GZSo9EI7ZWAZ7nNFAoFff3rX98k72FtwY4DtjG5//77+SQxBnI5t46cz8ZutwtNsK1WK7W3twu58c7OznUdreV9/ZhRCofDAgt+JpMRomjy0l05SV0mkxG6yrPf9vl83LDJOVIsFgt32uSVaWwxYCzSwLOhfVbSD6wM8W+VsVMqlVc1j1ux8MrvTw56Zf/KQeVsTtn4yHedbLzlKUmXy8Xfw5qds7/ZRoBhGRgztJxJPJlMcoPEiDKZ3sqxQBaLhfbu3cuNkcvlEqocu7u7BWLf7u5uvjtl1ZNMNwKBAHV2dnJjy0rMmW4xfJi8KikcDlM+nxeY8mOxmOBssN9KJpOCk8XwdJFIhFwu1wqn32q1ks/nI5/PRw6H46pJUK/mYFWufr+ffD7fimiXQqHg1yp3NIGlxS6ZTAqvs7mV09w4HA4qFArcnjAKEHlVI2s1xn7f5/MJqR6v1yvgAsPhMHV3dwuUAc3NzTzqtJwzbnn7GDn0obW1VSCIloOlWXWsQqGgVColALfZZ/x+P/9uj8cjpFHZIi3nbGK6IKcwYXPMUu/AjbNJLpdrw/aoWq1umS4ut0nLN8dyrCqbd0mS+NibTCYBRiCnMZFXF7Lxl0cwWWSbPe+ZTIavbw0NDQIJK6NiYgTT8o4v8qhXc3MzdXV1cZ3s7OwUcGOFQkHAp8q5CxOJBLW2tvLr9nq9QiTWYrFQqVQSmr4/Z2kotuLYagfsoYceonw+LwBd5ak/tvDJm1rn83nOJA4sleIy4DzDfskBzvIGyqFQiLq6uoT2MHKnrFAoCHw8ywGL7JoKhQJXOjmHTiQSEfL17D1yWgSPxyNgTthvs4dWHtFh97Q83biVu8xrpR6Rz9FWHXJHjKU8lkcM1Wo1H2uXy8Wdajn3GvubpdyYMZS391jeE03OgC+vMJPzMjU2NgpEmnKC1u7ubmpqaiJgadHMZrP8OguFAk9/M2PKjCBLUzGdBp5tGs50hJWVs4Vfp9Nx8D4bM7PZTLlcjhKJhEAUWVtbS3V1dStSkYxAVB4pYvrv8/koEolQKBQip9O5bupRrVaT0Wgks9nMGeRdLhePaFmtVjKbzWQwGNalUmHEu6ynnsfjWfG7LpeLEokERSKRFanHVColVFcz/J+8DyKLxmezWT62Xq+XWlpahKrTpqYm7oAzfCCbL4YpZfaCRbTkfHFyRzoej1NLS4sAhmapJpfLJVRj5/N5gcKERT51Oh3V19dzJyyTyfDFPxKJcJsSDoeFPrVykmJ2rcyWyTtRsM/LqUxuZLXj3r17r8kmrdancitsERs79n+mO/I+xnKKGKZrcjskx3rKN4Qs0iTnMmSODfvOVCol0JIwfJdOpxNYAuR9H81mM3V3d/PfisfjdOedd/L3ZrPZFZAJ5vyxdkjs/wyXKI/kM5Z+dl0mk4mKxSJ961vfuqa5vBrBjgO2MXnooYfI6XRSc3Oz4CWn0+kVKceOjg4hatHZ2ckV2Ov1CjvRUCgkkBsWCgWBcqK1tZXvfr1eL19EWesHeUsZZuRYOoqlv1KplFBqznYJ8vYdjNBwuQPAlFwOHpY3+GUP9HKHa6vD+6zS8Vrl9a9//ZZe32q4MDnwFXiWl0iSJKHXnTwNydLITAcYIS77PDNSzJGRt+WQ8zgxp5OBU+VRMLZAs0gtu5ZisUh79+4V2sWwSCyLgsgNsLz3JCN7ZRsUlUrFU5Zyol95+TjwLOWK3JkKhUICdoQtHpFIhDKZjNBmhJ3z+XyUSCQ4Xm4tx4vRFvh8Pu4wRaPRdQ/m0Hm93hVkn/KDVZXJr2M5ESiLWofDYcFRiEajlM1mBbwTK+ZhaV723MqbqLNUr3yc6+rqhMrGYDBIra2t3A6Ew2Fqb28XNmrLe83K8ajt7e3cKYvFYkI1tpyOIhQK8fm32WzcsZPrKuO7k1dis558cgwY0zODwcCfH1btKK80Zv/K+4yuZpe2wj792Z/92XXZpPb29i21ScsdMTlNhZyEFXgWz8ie9eUOMGv/xHRCTr7K5txsNguOd1NTE19PotGowCUnB97ncjm+2fT5fLzSWpIkYUPhcDjozjvv5M6ez+ej22+/nX9vNBqlzs5OoYq2o6ODfzdr9i3vAMP6U1osFvrud797XfO5EcGOA7Yx+dCHPsQf3Gw2Sy0tLXyhYjgJtjBqtVpqbW3l3j0zYsxQKRQKam5uFkhUOzo6+OdZilKOu5AbQHkaiRlvpmBsN8vCvswJS6fT3NliVUWSJAkLOzP28ooitguSGzk5wJVFvVYDtm7VjvPjH//4pszpl770pS25vrXGYTlFx2opSbawyXuMer1ebpzkCxQDJqvVal7xyrBYbN6i0aiQDmIRjOWM95FIhLeTYQTAzMCGw2F6wQteIKTB5fQTpVKJF5AAS46bfFMRjUaFlKXJZKLW1lbBSWApAblzwaopl/dODIVCPIUpx0wxR7W+vp5SqRQFAoFVHS+TyUSBQIBisRhP0bJoVDgcpmAwSD6fj/fKczgc5Ha7yefzcYxLNBrln00mkxSLxcjv96+a3tRoNBQKhSidTlM6nRZaMskXqlwuJzhcZrOZ8vk85fN5rgsM49XU1MQ3eUqlkkcm5a3Furu7uWPGogjyRtvt7e08WqnVaqm9vV3osyd3sGtqanh1I7AU+WSLK2tVxeyL3FEPBAI8Emaz2Sifz3Odra2t5brMWm8xgmtgKeopb+vGnht5ynH5syQvfmFjI38Gt2pjuFmL9Tve8Y4ttUnL7RM7lhcKMc401sKJzQEbZ7/fzzeHcuzw8sIuNifpdJqvRfKuCB6PR+Ca27t3r+Dcy/WxtbVVoDWRZ5eampoEAvPlUa9ischx0cDSBlXeDYTpMPs9APTQQw9typyuJ9hxwDYmX/ziFwUqCVbFKE+35HI5am9vF3aa8sbHfr+furu7hf/LK4kY7oIpflNTE1dOn8/H+2sxPjH5wipPGzDOH1apyRSfVa3IIyp6vV7o6cXuT14Fw16Th6mZoq9m5LYy1M+a2m6WHD16dMuudbUdp9zYsXGVU3qwsWXjbzAYBAwMW2AjkQh3gBOJBMdQyKkqCoUCN3SMxoAZva6uLm5M5QzSDodDwE7IG8CbTCb6rd/6Le7ks96jTH8YXYF8h9nW1sbfz36rtbWV74R1Oh01NjYKUTmG52hubhZay3i9Xsrn8wK9ArC0ECcSCSoUCpRKpcjr9a5YaFmXAda+KZVK8WpLOTnu1Rysn14wGOSVVJlMhurq6oTWS+xQKpW8Byxrpi5PZbrdbu5wyTFufr+fWlpahG4arKqVRbrZAtbW1iZ0uWDOMftcLBaj7u5uPv4s+iCPfi2PyMsJetvb2wXsKnPa1Wo1FQoF/r2JREKIYrAI7PKFmemdvPDHZDLx+3e73fyZYA6nfMMib2/FdOFG26S+vr5NtUmPPfbYpl/j8s2gfOPM1hQ5TELuiLFzbPzlG/RgMMh1hbHJswpJ9rfc+aqvr+dzJe/YYTab+eZLr9fTnj17uG4wYtXVetgux6MyMld2rSzjJKc46erqWuGctba2cntotVqppaVlJwJ2NceNSkF2dHQIGKJYLEZdXV18oWATzIwWi3Ytj34tb5Itx0ssb1Yqx4nJFyp5+xCv1ytwq7AWERqNhpLJJDeSLKphMpmEdBL7TvaavDO8nFuIGU7mJN5I3NfIyMiWzO3U1NSWXO/ycVmOC2MLJxt7eZsr5pyxhUiv13Mj43A4+FyEw2H+3kQiIaSa5VgLeZqR6ZrJZBKwFdFodEVjXDkgVt4Yt1QqUVtbmxAFY9x2wFLUVt7NweFwUFtbmwC8z2QyQlNnFt2Rc1CxMWhsbBS4xti4MQhAfX39iupHo9HI05SFQoFyuRzF4/EVWLHNOiRpqYdcIpGgXC7HiUnlnSTY4fF4OAamtrZWSGMGAgHOfySvlozH49Ta2iqkTFikS/5afX290AKIRdTleFUWgWTPszz6pdfrqa2tTeiE0NbWtmqrKznGh2UH5BtDdl02m43rndFoFMiomU2yWq184fR4PCsiXstbesltkpx3D7hxFY/z8/NbYpPOnDmzZTrKbNHyv1lES5Ke7SPJ9E9e9S7fHDIdCwaDfE5CoRB3uJLJpJCFYfaprq6Oz3U6neaUOCwyyuavra1NwKM2NDTw38zlcvxzzDGT41E7OjoEvGqpVKKuri4hMt/V1cU3CgqFggqFAo+MbbcDJi2dvzWkubmZfv3rX2/Z93/kIx/B+973PgBAXV0dvF4vent7ce7cOajVapRKJRAR9u3bh0qlgmQyiUAggCNHjuDy5csIBAKIx+M4duwY/38sFsPhw4cxPj6OZDIJm82Gp556CgBQKpUwOjqKs2fPwuPxIBQK4cCBAwCAfD6PCxcuYGhoCNFoFAqFAmfOnIHD4YDL5cLTTz8Ng8GAQCCAU6dOQa/Xw+Fw4MKFC7BYLNDr9RgcHITT6cTs7CxmZmbg8/lw8eJF6PV6AMDs7CzsdjtGR0dhNpsxOTkJtVqNarWKarXKx4WIoFAoUK1W+b+bLQqFAuVyGUqlctO/m0m1WoVOp8PCwsKmf/fy8VEoFMK4qVQqLCwswGg0Ynp6GlarFePj49DpdFCpVJiamoLb7cbQ0BB0Oh3sdjsGBgZgs9lQrVYxMTGBYDCIiYkJTE5OIhaLYXR0FGNjY4hGo5icnMTly5eRSCRgNpuxf/9+6HQ61NTU4PTp0wCA1tZWDA8P4+TJk3C5XIjFYjh06BDm5uZQKpUwMzODp59+GlarFblcDufOncP58+dht9tRX1+P3t5erl+5XA6XL1/GiRMnoFQq0dDQALVajX379mFubg6hUAjxeBz9/f04deoUACAajcLv92NsbAzHjx8HEcFut6O2thZEhDNnzuDy5csAAJPJhFgsBr1ej8nJSfT29mJmZgYAoFKpEAgEYLVaoVKpsLi4iMnJSVy8eBFzc3Mr5kav18NisUCj0UClUvF/VSoViIjrs0KhgCRJWFxcRLlcxuLiIhYWFlAulzE2NoZyubziu41GIzweD8xmM5RKJRYWFjA2Nob+/n7+vWazGTU1NTAajZiamsKZM2f4dfr9ftTU1KBareL48eOYnJyEUqlEJpOByWTCuXPncOHCBQBAJpOBy+XCiRMnMDg4CJPJhGKxiJmZGezbtw/Akt2wWCw4ePAgJicnEYlEuF2ZmppCPB6H1+vFgQMHMDMzg2w2C6VSiYMHD0Kn06FUKuH8+fO4cOEC/H4/nE4nDh8+DK1Wi/r6epw6dQpTU1Oor6/H9PQ0zp07B4/HA71ej97eXtjtdlgsFvT29sJqtcJgMGBgYAAOhwMAMDIyAp/Ph9HRUczPz8PlcmF4eBgWiwXz8/OYn5/ntoj9q9FoUC6XoVarsbi4CKVSiUqlAkmSUK1WIUkS2Dom//t6xWQyYXJyclO+ay2ZnZ2FwWDYku9mtkeSJABLdpyNHbOzzCbOzs5ym2QwGFCtVjE3N8fXDIPBAI1Gg7GxMQQCAUxNTWFiYgKhUAjDw8OYm5tDIpFAf38/ZmdnkUqlMDg4iLGxMcRiMczPz6O/vx/hcBjRaBS/+tWvMDc3h2QyiUuXLmFiYgKpVAputxu//OUvsbCwgHw+j+HhYQwMDMDlcqG2thYnT57E8PAwfD4fYrEYjh07hrGxMXg8HtTV1eHs2bO4cOECDAYDcrkc5ubmcPjwYVSrVcTjcQSDQfT19eHs2bMAgC9+8Yt4zWtesyXjz0SSpCeJqHnVczsO2LPyz//8z3jwwQdx+vRpDAwMQKVSoVAoQKfT4dChQ5icnITX60UqleILi0qlQqlUwsLCAg4cOAClUonGxkaUy2UcOHAACoUCjY2NmJiY4ItbfX09Tpw4gdHRUcRiMZhMJhw6dAh6vR6ZTAbHjx/H9PQ06uvrMT4+jv7+fvh8PhgMBpw5cwY2mw1OpxOnT5+G2WyG2WxGf38/HA4HlEolhoaG4Ha7MT09jZmZGfj9fgwMDECn00GpVGJ6ehoOhwMjIyMwmUyYnZ0FACiVSpTLZSgUCmFc5I7FZho4Jna7HSMjI5v6netJTU0Nzp8/v6nfycZluQPGzjFRqVQol8t8cbHZbBgbG4PBYIBCocDU1BS8Xi8GBweh0+ngdDq506NUKjE6OopAIIDZ2VmMjo6ipqYGs7OzGBoaQigUAhHxxbOmpgZPPfUUFhcXUVtbi76+PszMzKChoQEKhQJPPvkk9Ho98vk8Tp8+zR04p9OJffv2cSOo1+vx5JNPolKpoLGxkf+fGdBQKIRjx45hcHCQO2czMzM4fPgwFhcX4fV6kUwmMTMzg0OHDmFxcRE2mw11dXUAgN7eXgwODgIAnE4n4vE41Go1BgcHcebMGT6OdrsdoVAIBoMBCwsLGB0dRX9/P+bn54W5sNvtcDgcMJlMUKvVICJUKhUAQKVS4Q7W/Pw8JEkSFigA0Gg00Gq1UKlU/FlQKpWQJAnlchmTk5Pc+ZWLTqdDKBTijuHU1BTOnTvHF3GlUolEIgG32425uTmcOnUK4+PjAIBgMIhwOIyFhQWcOHECU1NT0Ol0yOVy0Gg0OHbsGEZHR6HVapHP56FWq7F//37Mzs5yZ/f06dO4cOECd8zGxsZw5MgRaLVaNDQ0YHR0FCdOnIBer0epVEJ/fz96e3vh8XiQSCRw8OBBbncqlQqefvpp2Gw2xONxHD58GAsLCygUChgYGMClS5cQDodRrVZx4cIFeDweaLVanD9/Hk6nEyqVCoODg3C73VhcXMTo6Cj8fj9GRkYwPz8Pj8eDS5cuwWw2Y3FxUXAATCYTv//5+Xm+KaxUKlAoFHwumfO9FTYpl8vh0KFDm/qdawkRwWQy8Q3GZslymwSAO2AqlYo7YmwTotfrMTMzw9cGs9nMn5NgMIgLFy5Ap9PBYDBwR7pcLmNkZASBQAATExPcyR8eHsbExASSySSmpqZw8eJFBINBaLVanDlzBk6nE4VCAYcOHcLw8DBqampQqVS4LmUyGRw4cACjo6NIJpOwWCx8k9HY2IhqtYp9+/ZBkiQ0NTVxe1apVLgjd/ToUYyMjMBisSCTyWB6ehqHDx8GESEajSIUCuGDH/wg9u7du6njvso8rOmAbXta8WqOrU5Bfvazn+XtDuQAeZPJJPCRAEu4mZ6eHoGcrqenh4dcA4EAdXd3C/xdzc3NPPxbKpWEdkOsaTcLkco/J+8wL684Yjlvt9vNQ/her5eHgFl6QafT8ZCuHADOMEXysndAxFiw0O56JfnXc2z1nK4lL3zhCzc95A+IqUgGfpWTRLIQPKs+Y+kVljIzGo1CKxlArIqUE1T6/X6eKggGg/z9Pp9PAEV3dnYKJKxMt+rq6qinp4fPe2NjI9cvlmZnqSO73S4AvtkzwdJUAITQPrCE+ejs7BQwk6w3qpwzT/68dHR0CAz5LMXR2dlJnZ2dQisRdjAeraamJmpvb6e2tjZOGLu81+S1HowkNJlM8tRse3s7NTY2UjKZXAHMZ+SpXV1d1N7ezseVHQyXJSdlBpYwVx0dHdTY2CjAA7q6uqitrY2nVlwuF3V3d3OohEKhoMbGRuro6BCqDeXYr3g8Th0dHUKKiBURqdXqFb1mGYSC9ZKU0wfIqyDl5NDsdTnPVzAY5JAGBn9gVB9MR5lusN9jWCB2v/I5l/PvrfYMXu/xhje8YVtskjzFvJnHckwYm2/g2cpIxpyvVCr588LshNVq5fPHYANarVZYc+QMAPIqSDkpq7y3I9NbvV5Pe/fuFbBg8qrKnp4e/uz4fD7q6ekRbN6ePXv4/z0eD+3evZuPo1qtpo6ODurp6RHWv56eHg7W//+39+bxkaVl2fB1at/3NbVk39Od7p6lt+llZmBmkEURFHw/hE/lJyIuoPjy8oqCivIBsoMiiLK8yoCCDCrIoviC6DgsM9N7Z99TqUqlqpLat/P9kbnvOVWddPd0Kp2enuf6/fJLUqk8OTnnOc+5n/u+7ut65JFHdv26QnDArg8f+tCHePLRA+fuu+9ukJ84deoUL1JGo1E+evRoQ026uUZ9xx13NKjgHz58uMEwWSlgeODAgQaDXJrU4XC4oYuE+DR+v58neFtbW0NjAN0kdDPQQ1tJAm8m3Cv9Hptv2N0guP7Kr/zKrl7Pa+Htb397y/+nrfgX9KCg89y86Gk0Gg66lFwYup7hcFhWqVRXEJqVgptK1WhasNxuNy90BoNBPn78eEPnGs0Tl8slHz9+nOcKcbSUHoLKDsj9+/c3PNjb2trkEydO8LER6VVpLK/X6+U77rhDvueee/j+ATY3GKdOnZIPHz7M76X7784775RPnTrV8PCnD4/HI4+OjsonTpyQjx07Ju/fv1/u6Oho6Jhs/iDHh1AoJEejUbmrq4tNovv7++Xe3l65q6uLHSdcLleD9EXzh9VqlTs7O+XR0VH5+PHj8j333CPv27fvCv4ZSducOnWqQQ2c/o8jR440NDbQeTlx4gTbuNDDiV6judXT0yOfOHGC72+HwyGfOHGCr/tW3K+jR482NGQorYnIwoX+P3JekCRJHhwcbHDboPWJzhXNVXpPOBzm36Vg22KxNAitAk934yk9Vek9tCZttaFR3m+t+vj0pz+9p2vST//0T+/qmkTrOK3xzaK2yk5TpWck3ZM6nY4lVOh9Sj9kpU4Y/V40Gm3QvlQKQyullCgwouuvlNwhviX9P4cOHeJnJ+ltkgcpzU+lNBSpECg3g1arVf7CF76w69cUggN2ffjKV76CD3zgA8hms3jiiSdQr9fR1taGnp4eJBIJXLx4ESqVCgcPHoTBYMDjjz+OfD6PUCiEzs5OTnmGQiF0dHTgwoULXCby+Xx44oknUKvVsH//fmxsbHA5saOjg+vUw8PDmJubQyaTQXd3N3K5HGKxGAKBAOr1OuLxeEMJKhwOY21tDfl8HuFwGAsLC9Dr9TCZTEilUnC73VhbW2PuSzP/qFgswmg0olAo8PfK1D7xLIDW8is+97nP4VWvelVLxtoJ/vmf/xkvetGLWjKW8vwo0/50PonLQueb+GD0Wa/XQ6VSoVAoMDfG4XCgVCqhUCggGo1iYWEBWq0W0WgU4+Pj0Ov1sNvtiMfj8Hq9MBqNmJubg9vthsvlwvj4OGw2G8/PWq2Gu+++G8lkEuPj43C73fD7/Ty3Dxw4gGQyiZmZGdhsNuzbt6+BCzY8PIz5+XnMzs5Cr9fj0KFDKJVKfL+MjIwgEAhgYmICMzMzUKlUGB0dhc1mw/T0NObm5gBsciypbHHp0iUuv3R0dCAajQIAFhYWMDU1xefX4/EgGo3CZrOhUqkgmUxiYWEB2Wy24TqYzWa4XC6YzWaYzWbo9XpotVrUarUr+H/VapXnukajaeAgKl+rVCooFovI5XLIZrNYW1vj0j3B4XAgFArB6XRCrVYjnU5jdnaWS5WSJKG3txfBYBC1Wg0zMzNYWFgAANhsNvT398NkMmFubo45Kj09PYhEIkgmkzhz5gwAoKuri+fCxMQEtFotDh48CAANJWefz3cF94vKln19fTAajXjyySeZahGLxZju4HK5cOHCBRgMBvT392N8fBz5fB4DAwNYWVlBKpVCe3s7MpkM0uk02tvbkUqlsL6+jmg0ilgshmq1ikAggKWlJVgsFqhUKqyvr8PtdiOZTMJkMqFcLnP5K5fLwWazYX19HSaTCfl8voGzRKXH3eJ8nT17FiMjIy0Zayd473vfi//5P/9ny8clWoQsP80F225NIoqE8ho5HA6sra3B7XZjY2MD1WoVnZ2dmJqaglarhd1uZ/oLrUNOpxNarZafWxqNBnNzc/B6vQgGg8w9HBwcxPj4OLLZLPbt2wer1YpHH30UkiRh//79WFlZwdLSEjweD/r7+zE2NoZEIgG/34++vj5MTk5iaWkJVqsVo6Oj2NjYYD71/v374XK5cP78eebY7t+/HzqdDu9+97tx7Nixlp9rJUQJ8jrxnve8h3ef99577xVq3ydPnmzohDxx4gRH5ZT9oqi8WaeEdJFoV6DsRjMYDPLo6Cjv9gYHBxuyZPQ3w+EwZwmUnnIk8KhMC7vdbu54oZIQ/W6zvdB2khO79XH+/PldvY7PFJOTk7u269wq7d+ccaTdPmUhlOVhuvYul6uhs0elUsk6nY47YbVabYO/ntKgm+YgyUHQvDl06BDvOKn7VqlLd+TIkW2zYENDQw0leK/XK588eZJ3t/Se06dPN5Tfenp65HvvvVc+ePAgnwfSuLr//vsbxEPp3JBY7MmTJ+X+/v4rslJ2u10eHh7mcsM999wjHzt2TL7jjjvkvr4+2e/3XzWTda0PUtsfHByU77zzTvnYsWPyPffcI584cUI+cuSIPDAwcIUcBbkLnD59Wj59+rQ8MjLSYJHlcrnko0ePyvfffz9LytC1v+uuu+TTp083dIn29fXJp0+fbugwHRkZkU+cOMEZJ5/PJ588eZLf05z9MplM8vHjxxsypIcPH97S2N3hcLC7gUqlkoeHh/l9vb29fI26urr4dZJNUavVDf6zSsstOjfN3df0P1B2gtaiZskJYHey8RsbG3u9DDXg29/+dsv/R+V5a/bOpPPcrLlG18dms3G2njK8Pp+PfTjJW1Gj0XCFhpwgaG1TStko59mhQ4d4nh08eJAzwSTpRMcyOjrKHqWSJMl33XUXd0BKksQ2RjSHOjo65Pvvv5+PgTLzJ0+e5Ezd3/zN3+z6tYQoQV4f/uqv/qrBSHhoaEi+9957uZ1ap9PJhw8flg8fPswTlyQqaFJGIpEG/hjZshDnZ3R0tMEEl0oMarVaHhkZ4cWsr6+Pg6n29vYGTR96cEejUZahoHIUlU1UKhUfk7IMRP8H3SzNHKXmG7WVKX5Jkm65hY5QKBRatrA3CyLS983t882LntK8mxYtjUYjazQafni53W7mY3R1dclqtVrW6XRsFq9Wq3mhUxrlmkwmeWRkhN9z4MABDvK7u7tZvFWtVst33303z1G73S4fP36cS+Aul0s+efIk3yck6KosWba3t1+xgenu7pbvvfde+Y477uDzQMHGfffdJw8PDzec/56eHvnUqVM8jpIDJEkSu1Hcf//9XNrr7Oy8IhBSfmi1Wi5Btre3y11dXXJfX588PDzM2l5dXV1yNBqVQ6FQgxfhVh92u13u7u6W77jjDvn06dPy8573vAZ/WPowGo3y6OiofP/99zdwWuj8jY6Oyvfdd5986NChhtLQ3Xff3RCIEXf09OnTDVZExBmjeTY8PCzfc889Dbpfx44da+B+0YNLo9E0qOyHw2GmUJCfJ823wcFBHlPJe+vs7OTAi47VbDbz+uPxeHiTQL9DP6N1TSl7o7w3lIHzbgReFotFrtVqe738bIm5ubmW/q9bCbXSvah8FpC2l1KqQukZTM8cei0QCDCvdWBggIV3aUPodrt5HTKbzQ3UB+XmcHR0lDehZMtFPzt8+DCP5/F45KNHjzZw0I4dO8Zz2Gg0ykeOHGkwp+/t7ZXvvffeBp7d8PDwnlsRiRKkAl/60pfwzne+E06nExMTE5ifn4dKpcL+/fthsVhw5swZrK+vw+v1YnBwEPF4HJcuXYJGo8HBgweRz+dx/vx5lqzIZDIYGxuD2WzG0NAQJiYmuPPRaDRyir+vrw+XL19GuVzG8PAwFhYWkE6nG7pJOjs7EYvFUCgU0N7ejvn5eWg0GrhcLsRiMTidThQKBRSLRU7x2+12rK+vc6cLsJmGrlarLItArffUGVOtVvl9rZSboPS1siPwVoMsy/B6vSyF0AooSyTKDiRqp5dlmc8JXQfqRqJSscPhQCaTgVarhdVqRTKZhNfrRSaT4TLAzMwMNBoN+vv7cfnyZVQqFS7/kAzChQsXoNVqMTAwgImJCeTzefT396NcLmN6ehp2ux09PT3chdfV1QWXy4UzZ86gXC5jcHAQJpMJZ8+eRblcRnd3N0KhEC5duoR4PA6Hw4H9+/cjl8txuT0SiaCnp4dLApVKhWUu9Ho9ZmdnWSbD6XSir68PFouFu4apS1Cj0aC7uxt+vx96vR75fB7Ly8uYnZ3l0hSdQ6/XC4fDAbPZDJPJBL1ez+e+Wq02dPNuVYJUdo9ptVq+Z6gUnM1mkUqlsLq62nCtdTod2tvb4ff7uaSzvLyM6elpvpfcbjd6e3thNpu5/EpdkgMDA0wvIJkIg8GA0dFRGI1G7jTV6XQ4ePAgNBoNnnjiCeRyOe6EnJ6exvz8PEwmE4aHh7G2tobJyUluy19eXsb8/DwcDge6u7v5WpMUyMTEBOx2O88XSZIwMDCAyclJLl3Ozc2hWCyiq6uLS8rhcBgzMzMwmUwwGo08R6m7mf7f5u5rojkoKQ/Ke0S5DrV6TRoYGMDFixdbNt5uoFwuw2w287rcCmy1JlG3r6woT5Lsh1KehaQ5iCJhNBqh1WpZJoe6mfv6+jA2NoZ6vQ6/34/l5WU4nU6EQiGcO3cOBoMBPp8Pc3NzsFqt6OzsxKVLl1Aul7Fv3z6kUiksLCzA5/MhGo3i7NmzKJVKGB4ehl6vZ8rD/v37uSO4VqthcHAQHo8HZ8+eRTqdhtvtxvDwMDKZDJck+/v7EQ6HEYvF8IlPfEKUIK/342ZZEZG556lTpzizZDab5WPHjjXsNAcHBxtKANFoVD5y5AinTLu6uho6H/fv399Apt+/fz/vNkZGRrYU2Ozq6pINBgPv+qn0RNG+0jqCjpUyJ0TcBp5O7TcT7WnHg212SK34uOuuu3b1urUau+XX1qyaTxkI4OksGGUCtFrtFWUapWArfe3z+Tij2d3dzRmxgwcP8rWmuWIymeTh4WHe7Y6MjDQ0epDtB1mJ0G6RLGsoE2y1WuUTJ040kGAPHTrUkGVxu93yqVOnGoRdSdH65MmTDd6Q0WhUPn36tHzq1KkGmyJS1abs0t13393we3hq507dfffdd598//33yydPnuTmmI6ODr6XdvJBIqMHDx6Ujx07Jp86dUq+//775fvuu08+fPiw3N7efkWGpq2tTT5y5Ij8vOc9r6E7i85Zf38/l1Zpdw883d119OjRBuPpI0eOyPfcc09DhpSI/83XQentefjwYb7fh4aG+P1arVY+cOBAwxxQZiQo86h6ymtWr9c3uG1oNBrO5imbQjweD5PvKfuuNGZvLsHT/KCsy243/wCQX/nKV+71MvOMoOwM3o016XoI+ls1DdHcMZvNDcLRGo1G1mq1nEFVqVQNbixklK3VauWuri5eC5UWaz09PeywQRlhKm07HA756NGjfN94vd6GEr1Op5OPHz8uHzt2jP+fUCgknzp1qqGJ5VOf+tSuXzuIDNj14Ytf/CI++tGPcvRsMpkwOjoKSZLw+OOPs+ZOd3c3ZmdnMTMzA71ez6T6S5cuMcEvkUhgenoaFosFAwMDGBsbw/r6Orq7u6FWqzkz1tHRgcuXL0OWZfT19WFmZgaFQgE9PT2Yn59HuVxGR0cHZmdnodFo4PV6sbi4CLvdjnq9jo2NDdbUoZ1SqVS6gkxJ3xPRnsiXarUa9Xqdd/ytFln99V//dXz4wx9u6Zg3A7/1W7+FD3zgAy0bb6tdJwBotVpUKhXo9XqUSiUmH9P1MplMrHNlNBqRzWZ592mxWKDT6bC2tsYaS+VyGV1dXZiZmYFarcb+/ftx+fJlbGxsIBQKIRaLAdjc/ZNGVU9PD2RZxuTkJOx2O2cGaL56PB48+eSTKBaLGB4ehs1mYzJ3Z2cni70uLCzAZDLhwIEDkCSJszNOpxMjIyNQqVQ4f/48VldXIUkShoeH4ff7OXO8vr4OYFOctKurC0ajEZlMpkGgFdjUcQsGg0zsLhQKWF1dZXL4VjAajbDb7SzISpkujUbDWmGUDSMh4mKxiI2NDWQymS0FXoHNxgCfzwe32w2DwYBarYaNjQ0sLi5iaWmJ3+f3+9HR0QGbzYZsNsuCksBmVmxgYAB6vR6Li4u4fPkyAKCtrQ39/f0olUo4c+YMstksHA4H9u3bh3K5jMcffxzlcpmvwcTEBBYXF5mIvLKygvHxcVgsFuzfvx8zMzNYWlqC3+9HZ2cnzpw5w8T6QqGA2dlZuFwuBAIBXLhwATqdDj09PRgfH2chy6mpKahUKoTDYUxPT8NkMsFisSAej8Pj8SCbzTZk4R0OBzY2NiBJEvR6fcOaRGsRfaZ7QXmP7IbG10c/+lG84Q1vaOmYNwMPPfQQvvGNb7R0TKVuIbCp+dhMzKc1ia4b6bTp9XpIktQg2Gqz2VCr1ZDL5RCNRrG4uAiVSsX6luVyGcFgkDPzvb29OHv2LOr1Onp7ezE7O4tCoYChoSFkMhksLi7C6/UiEongwoULKBaL6O/vh8ViwZNPPolqtcpaeU8++SRqtRo3oFATHDUTVSoVPPHEEyiXy/B6vRgaGsLb3/72PdUBEwGYAp/61Kfw5je/Gfv27UO1WuWHjMPhwMjICFKpFM6fP8+dGSaTicULOzs74fV6cebMGRSLRfT19cFsNnPac2RkBIlEAsvLywgGg9yVYTAY0NXVhfHxcZ48s7OzHHhRacnn82FhYQE2mw0qlYrVf+PxeIPAKpWtmruJ6AGvVJWuVCpXdDq2En//93+Pl73sZS0f92bhkUcewU/91E+1ZKxrdUjS9dmuG4nKyRQ85PN5vv52ux0qlQqpVAqhUAirq6tcIpyZmYEkSTh06BAuX76MdDqNaDSKRCLBC10qleJ56fV6uSN33759KBaL3G25b98+JBIJ7oDcv38/SqUSzp49C1mWMTAwAJfLhcuXLyOZTMJgMHCp7MKFC0gmk1zSpyCSxFq1Wi1GRkbg8XhQKpW4lEbnrqurC21tbTAajSgWi1hdXcXs7CxyuVzDOfZ6vfB4PLDb7TAajdBoNA3lxnK5jFqt1vBB5R0qQZIAK3UOK8uSlUoF+XwemUwGiUTiinK13W5HJBKB2+3mgGNhYQGzs7P8HupiJLHS8+fPsyL5yMgIHA4HYrEYzp07BwAIBALo7+9HoVDgLsdgMMi0hKmpKQ62AeDMmTPs1OFwOLiEPDQ0BABciqaO1mQyifb2duh0Ou6apdKyRqNBZ2cni06HQiFMT0/DbDbDZrNheXm5wW2D3BxI2b5cLsNmszWsSc1d1zT3lRuT3XLcePTRR3H48OGWj3uz8Md//Md429ve1pKxmtckysrQs4GeFc1rE11HpXBuqVRCrVaD1+vFysoKnE4nyuUycrkc2tvbORAbHh7GpUuXUCgUWNzVbDajv7+fAywqlSeTSXR0dMBsNuP8+fM8x9fW1jA7OwuLxcKOHUtLS0xtSKVSuHDhAgBgdHQUFouF3WgcDgdGR0f5+f53f/d3eMELXtCS83mV8ywCsOvBhz70IfzO7/wOKpUKfD4f220orYeCwSAuX76MeDzOqt8rKysNPIvFxUUsLi7C6XSiq6uLeRZ9fX2oVquYmpriRe7ixYvQ6/W8yMnypkrv9PQ0NBoN/H4/5ufnG5TQ/X4/EokEVCoVLBYL0uk0K6pbLBbkcjluuwfA2S160FUqlV1f7MbHx9HT09PSMfcCc3NzaG9vb+mYW/Famhc94l+QTQgFYsShMZvNqNVqKJVK8Hq9zMGSZRmZTAbRaBTxeBylUokDMVmWcfDgQUxPT/NDl2QEmjOzg4OD/D5S1T9//jyy2Sw6OzsRCoVw/vx5pFKpKziRkiTh4MGDsNlsuHDhAuLxOMtRkF3WpUuXAGzyvoaGhmAwGBCLxXDp0iWel52dnWhvb4der2dVeaWDgVarRXt7O7xeL2fDqtUqB0jxeBxra2stm9sajQZutxter7chwKtWq8hms1hZWcHs7GzD36NzZTabUSgUGgJLnU6HwcFBeL1eZLNZnDt3DtlsFpIkYWRkhANsUmQPh8Po6+vD6uoqS1Ls27ePg6xMJgOv14uenh5MT08jFovBbrejr6+Ps4htbW0IBoM4d+4cSqUShoaGsLGxgfn5efh8PtjtdoyPj8NsNiMcDuPy5cvQ6/UIhUKYmpqCxWKB3W7H4uIi3G43OwOQe4PZbAaABrcNemA3bwLps5ITuZXURKuQTqdht9tbOuZe4Lvf/S5OnTrV0jGJhyo3ccDoWUHvUT5LyFqLnj3KbKfT6UQikYDH40E+n0c+n0d7ezsWFhag0Wiwb98+XLx4kfmLy8vLAIDBwUHMzMwgm82iv78f+Xwe8/PzzE8dGxvDxsYGurq64PF4OKM1NDTEFlwkydTZ2clWguQGoVKpcO7cOd4I/PVf/zVe8YpXtPRcbnFuRQB2PXjkkUfwoQ99CKlUCk888QSAzXJHR0cHFhcXMTk5Ca1Wi9HRUciyzMS/np4e2O12TokODQ3xhdZoNBgcHMTS0hKSySQvxmNjY7BarWhra8Ply5dhMBgQiUQwMTEBnU4Hv9/PBEWdTodkMgmfz4dUKsWaLJTiT6fTXP4gbRflzpIe5gA427Vbi51Go+Hywu0Csg7aygvwRkDnW7noKR9CABquEZXI6vU6E9Apg2S325HL5SDLMjweD/t/VioVrK+vo6OjA7FYDKVSicvaxWIR+/btw8rKCuLxONrb21GpVNjOKhwOc7lgcHAQkiRx1oRstS5evMjNJ3QvVKtV1veanJzkQGPfvn3wer1YWlriwCsajaK7u5uJ36SH5XK50NfX11CqSyQSfO7C4TCi0SisVisAIJ/PIx6PY3Z2dssyod1uh91uh8VigclkYu9NlUrF5GLldaDzXK/XWfsrn89zKXIrb0Cz2Yz29nZ4PB4YjUYOgmdmZpiUDIC9Yk0mE/thUtm1s7MTnZ2d7AlJpeKtzl13dzcikQhmZmYwMzMDg8GAQ4cOIZ/P44knnoAkSThw4ADUajV+9KMf8TiFQgHj4+MwmUzo7e3F1NQU+0UC4BKky+XCxMQELBYLa7pZLBa4XC7WdqrX68hkMggGg4jFYtDr9dDr9RwEJhIJmM1mFItFPr80p4nYTeeaHvTNG8FWrUtutxuJROKWbgB6piA9rlZhK7sioqcA4KYtZdmYni0qlQrFYpGfRR6PB8lkEnq9HhaLhb0b19fXkc/n0dHRwQ1uIyMjrP/V1dWF5eVl9pJMpVKIx+MIBALw+Xw4f/4862jmcjlMTk7CYrFgeHgYy8vLHGgdOHCArQDr9TpvcsbHx7G8vAy1Wo0DBw7AYrHgXe96F44ePdqy87gVRAB2nXjf+96HN7/5zejt7UUoFMLy8jLzMUZGRjjCJr++7u5uLCwsYG5uDjabDQMDA5iamuIJRzvNSqXSUOrxeDxwOBxXLHImkwk+nw8zMzOwWq0wGAxIJBLw+XxIp9OoVCrweDxIJBKw2+28W9bpdMjn81ybp/IVpYxppylJEnup7cZiR113t9NCpwR1mbUKyge/0muTHlLNQrlKwVYqqSnFEdfW1qDT6eBwOLCysgKfz4dCoYCNjQ1Eo1Gsrq4in883GOD29vaykXVbWxscDgcuXLgAjUaDkZERxONxFkCkTqWNjQ0EAgG0t7djamqKH7bDw8PY2NjgzjISEY3FYvwald8KhQIuXLjAAU1/fz8ikQhqtRoWFhYwPj4OYPPBQOVHk8mEQqGAWCyG6enphoDYaDSira0NbrebxVfp3BIvkoRUy+UyKpUKlyTp3tDpdNBqtdBqtdBoNNDr9TCbzTAYDOwNSRsYyvwkk0ksLi5ecSwdHR0IBAJ8b87Pz2NmZob/p76+PoRCIciyjJmZGRacdblc6O/vh06nY14dsCkm6Xa7MTU1hdnZWX54mc1mnD17FtlsFm1tbWhvb8fY2BiSySRcLhd3Oq6vr6O9vR02mw1nz56FWq3G4OAgVlZWkEgkGkQyXS4X7HY7pqenG7xmnU4nALCvI2U2rVYrz0F68AJoKFs1UyGUHoS7mfk6efIk/u///b8tG+9WAm3EW2kY3pwJI35wMy+MnjXKz9TVajQaG7KitPEhkXISMe7q6sLCwgIqlQqGh4cxOzuLjY0N9PX1IZFIsGKATqdjD9Ph4WHMzMxgdXUV4XCY+Yr5fB7RaJQTGqlUCi6XC0NDQ4jH4xgbGwMApjlMT09jdnYWf/u3f4uf+7mfa9n52+acii7I68Ff/uVfNmj07Nu3Tz516hR3oJjNZvnIkSMN+kYjIyPcVUE6X0rtpdHRUe4Y6e7uZp0cl8vFXWU2m41ft9lsLGTn9Xq5E4Ves9ls3CmnFMkDntaR2k5gVdld1OqPF7/4xbt6bW4VvPzlL2/ZOVN2mtI1Un7d3MFK80jpnUddsUoxTvodpUca/U4kEmnwaiN9sWg0yh2IZrNZPnDgAP+93t5e+cCBAzx/Dhw4wF1MwGZnndJvkkRZld1G0WiUuyKV/n533XWX/OCDD8p33nlng1BpW1ubfPLkSfnBBx+U77nnngZRUvrfh4eH5VOnTskPPfSQ/OCDD7JtUTQafUbCq6RhdL3v1+v1ckdHB+t/Pfjgg/JDDz0knzhxQh4YGGjwnpQkSe7s7OT/5fjx4w2dnBaLRT5y5Ij84IMPchcqvX748GH5xIkT3D1G1mYnTpxo0NE6fPgwWwtptVr5jjvu4O4xjUYj33HHHbyuOZ1OeXR0lOdWX18fd5IFg0HWaPJ4PPx3lbYygUCAOxxpfjmdTtZ+ojWo+TPN4Wvpe7VyfXrHO96x18vFTQGJKbdqTVKKSNPXzSLS22kX0rw0Go1XeBLbbDb+eTAYbNCRo6/7+/sbRH7pd0kzk+bPyMgICwxrNBr50KFD/FymbuAjR440+KKeOnWqQSi6r69P/upXv7rr1weiC/L68A//8A945zvfCYvFwtpGOp0O+/btgyRJrGPU2dkJv9+PS5cusdYI7Tyz2SwikQjsdjsTBwcGBljbKxKJQJIktosxGAxYXFyEy+WCRqPhbqJCoYBcLodgMIjl5WVYLBYAQDabvYJbQelgpcN9pVLhstZuWwt97GMfw6/+6q/ueJxnCz7xiU/gda97XUvHVGbA6BpRaWa7TklK+TudTqRSKVitVtTrdeRyObS1tWFpaamhS83r9aJeryOZTCIcDqNUKiGRSCAUCkGSJCwsLMDhcDD3h3ammUwGCwsLsFqt6OnpwdLSElZWVmCz2Zj7NT09DZ1Oh0OHDqFerzd0Gyk7+UqlEiwWC0ZHR2EwGDA3N8fZLoPBgOHhYXg8HhSLRe7qI0QiES4/1ut1rK+vIxaLYW5u7gqel81mg9/vh91u5wwWlUuUGdrm+a/8mbIUSRm0TCaD5eXlBvI/sFmiIQ0wKo+ur69jZmaG+S3AptUS7eqJgE/NMAMDAwiFQshms3j88cf5XI2MjHAZOJPJwGQyYf/+/ahWq/jxj3+Mer2O/v5+2O12nDt3ju3RvF4vLl26hGKx2JBJMBgMXILM5XLo6OjgUm5bWxvq9TpisRj8fj9KpRLS6TSCwSCSySTryy0vL8Nms6FYLLK2G3GsMpnMFV3XzXN4NzUHAeDf//3fW86TupXxa7/2a/jYxz6243G269ZufpZoNBper+jnNF+VndrUjFGpVJigb7fboVaruXs7l8txhjadTiOTyaCrqwv5fB6xWIwbay5dugSVSoXBwUEkEgkm+1NlYm1tDR6PB729vcyBtFqtGB4e5k7rWq2GUCiEnp4erK2t4ROf+ASOHDmy4/N2jXMqSpDXg3e+8534vd/7PV7ggE1/sFwuxxd2cXGRa80jIyNIp9OYnJxkP6t4PI7FxUU4HA5EIhFcunQJ1WoV/f39TApuXuSq1SqSySQCgQCy2SyXE5aWlmA0GmEwGNjXMZlMNnArVCoVP6SJ0Fqr1Rp4RcrFrtUp/lvFP+1m49y5c9i3b1/Lxttq4VN+BsBBmVLEVZZlmEwmbGxs8Pyw2Wwol8soFovcaWQymWC327lrTa1WM79CpVJhaWmJCeaXL1/m1vHFxUWsra0hHA5za3exWER3dzecTifOnz/PPpWhUIjLX0ajEfv27YNKpeJ7iOQQNBoN8zGATdmJvr4+6HQ6LCws4NKlS3wuyBvSYrEgn88zF1P5wPZ4PLzpMRqNLOaZz+ev4HCRsOv1XhOHw9HAITMajTAajXxtyJN1bm6OPR+BzQdST08PQqEQdDodNjY2MD09zQGlWq3G8PAwAoEAl2Opo7K9vR2dnZ0syEr8mqGhIQ5kKRAiEd7l5WVYrVYMDg6y2KrFYkFfXx8WFhYQj8fh9/vhdru5xEw/I//GfD6P1dVVtLW1IZvNYn19HeFwGIlEokE+wGw2Q5Zl5PP5BtHnTCYDvV7Pmz2as/JT5SxlE5Cy667Va9Lq6mpL+VHPFnzlK1/BS1/60paNt1WzkLJ0TGVJJVWCgmvihVGywO12I5PJNAiz2u12aLVannOlUgnJZBKRSATFYpG9Hm02G8bHx9mXdHp6msXJHQ4Hzp49y9xrg8GAM2fO8DPX6XTi4sWL3IVLEi5PPvkkyuUy/vIv/xK/9Eu/1LJzthVEAHad+Nu//Vt86EMfwpNPPolSqcTGn5lMhlvC9+3bx/ISpINkt9tx9uxZ1Go19Pf3Q5ZljI2NwWg0ssREuVxGT08PkskkUqlUg6F2W1sbMpkMd4QsLS1Bq9XCbDbz5E2lUsxBUep8NfO9lAscPYh2Y4ep1+uZ/P9cRalUgt1uZ52uG0XzA4iuFy1wwNN6YbTYNfP9iBdWLpf5oah0RyCjdrPZDKfTiYWFBTidTpjNZpY38Xq9mJychE6nQ29vL2ZmZpDL5dDd3Q2NRoPLly9DrVZjZGQE2WyW33vw4EHkcjm+R4aHh+FwONgwlyQsiNdExPTu7m60t7ejXC6zkT3wtFq83W6/onMQ2Oyc7OjogNfr5YaTdDqNZDKJ5eXlbTW7yLjcYDAwz4s+ZFlmSQrih1E3ZbOBN8FsNrNxtcPhgF6v5wcHEdwJyo7OVCqFy5cvczDo9/vR398PtVqNyclJVpePRCJob29HPp/nhwoR+YnXQt2larWas2EDAwPQaDQ4d+4cJEnC4OAgd5E6HA7myciyjO7ubiwuLnKXWjKZRDabRXt7O2KxGCqVCoLBIBYXFxsMtSnDYbVaUSwWeXOg5Cxeje+l5Bq1Ck6nE6urq6xp9VzE8vIy2traWjKWcl3aqopC17f5WUSVGYvFgmKxCFmWYbVakU6n4fV6WavP7/djcXERNpsNer2eAy5ZlhGPx+Hz+WA2m1n2pKOjg5+lQ0NDPKeNRiPzGWk8ZWaeZKOMRiN3GlutVoyMjOAP/uAP8PznP78l5+sq51EEYNeDz372s/hf/+t/obu7mzW/gM3FMxAI8O7eZrOhr68Pi4uLWF5ehsPhQFdXFyYmJrC+vo62tjZYrVZcvnwZOp0O3d3dmJqaYkmARCKB9fV1RCIRJBIJFItFRCIRLCwsNNjNuFwurK+vN2Q5lJM7m81yOWorwj3dKK3eYfb393NHlsBmwEG6MztFcyZMuQOt1WpXlCFpHig1eeiBSAR9EsgslUoIhUJYWFiAwWCAx+PhoCwQCHBA1d3djenpaRSLRfT29iKbzXLJiSQOUqkU24SQyLDb7eZNxsTEBABgaGgIbrcbMzMzHET19fUhEokgnU6zrZEkSejv7+fs8NzcHBPTgc2uyUgkwuXHZDKJqampK4RXrVYrQqEQrFYrZ49Jy6tSqaBcLjdwMCjgkiQJWq2WNb/o/FOgVqvVOKtYKBS4LFsoFBr+vs/nQ0dHBxPWM5kM6xTR9e3t7UU4HIYsyw0NByRjY7FYGoj53d3daGtrQywW4/cODAzAarVyU4Tb7WYpm3Q6Db/fz4EWBVdqtZqlJCKRCBOTyVKoVCohGo1ieXkZtVoNbW1tPD/0en0D0Z4yjVsJdCqFOqlTrllgtXmu7xTHjx/Hf/zHf7RkrGc76vV6gw1UK0CbQmWFpVk6p3lzqNQLW19fh1ar5Q5gn8/HuoB+v583gRaLhTW9HA4HZmdnYTabEYlEWBCYSpCJRAJOp5OFoKly5PV6MTY2hkKhgEAgwGT/ubk51hIzmUy4dOkSHn74YTzvec9r2XnaCoKEf51497vfzQS93t5e+fjx40xK1el0DUQ/PEU+JlNisl0gsrzT6eSf6XQ6ua+vj4m+ZF6rUqmYXKzX6xt+lwy1iTxNxGkiKyqNtenvA9sT7ltlLfTa1752V6/BsxVveMMbWkaCpa9VKhV/T9dZaegtSRLPg2aCvsPhYKsPIr76/X5u4CDrHI1GI3d2dvLXfX19/LcGBweZaB0IBOR9+/bxz3p7e+WRkZEGA+g77riDifRtbW3yPffcw9YgNO/JCoTmpsFgkA8dOiTff//9Db8PbFqHHDt2TH7ggQfYpkh5fiRJYvuvhx56SH7hC18oP/DAA/Lx48flQ4cOyT09PXw+WvHhdrvlvr4+JsI/8MAD8gtf+EL5wQcflO+66y45FAo1HJ9arZb7+/vl06dPy89//vPlI0eOXEHAP3z4sHz//ffLo6OjDZY8hw4dkk+ePMnrD12P48eP8zWxWCzyXXfd1WCMTvZLwNMm4NRo0dbWxu81mUxyb28vW8B0dnayBRatSSaTqcFQm+yHqNmCzi3NvWai/bUI961ak975znfu9e1/S+L+++9v2dxXXj+yUqPPZHtHtnbNNnj07KJGDpPJ1GDkrVarZbVazXPdaDTyHDYYDHJ/fz+PPTAwwPMvHA7Lw8PDPKeGh4fZwJsa4g4cOMDH2dHRIR89epTtAAHIn/3sZ3f9OkCQ8K8PX/jCF/CRj3wEExMTWFlZYbVo4rFUKhVEIhH4/f4Gexen04kLFy4wGVYpHuf1ejExMQG9Xs/2HZIkIRQKcfrUZrNhZWUFDocDxWKxoXZOuweNRgMAzAlSChdStmu3DbW/+MUv4md+5mdaNt7thq997Wt44QtfeEO/u1U24GqK+SRXQddcKWFBpdFMJsOlIoPBAKPRiFQq1WAZE41GEYvFuES+sLCAYrGInp4eJBIJZDIZBAIBWCwWTExMMDcsk8lgfn6e0/+rq6uYm5tj+QoATDCnUn6hUOD7yGazYWhoiO13KGNmNBpZUb9SqWB+fr5B+sPn8yESicDpdHLJK5FIYH5+fkt+l8FggN1uh9VqhcVigdls5lI+ndfmEiQALucSf4w4ZFtpwblcLkQiEXg8Hs4GkFo3ZSEkSUJPTw/a2tqgVquRSCRw+fLlhuxfIBBALpfDhQsXmFYwMjICjUaDixcvIp1Ow2g0YmhoCOVyGefOneMyotVqxYULF9gBQavVMmmZspLJZBJutxs2m41t0nw+H6ampmA0GuF2u7GwsACLxQKtVstzJZ1Oo16vw2q1spo4HUuxWOT5R+eNhDqVdme7Jfr82GOP4a677mrZeLcbPvCBD+C3fuu3djSGcm3aqgSplM5pzoYRJxDAFVxVZWNZW1sbEokEqtUqotEo64S1t7ezfAsZwedyOXR1dUGSJM7aDwwMIBaLIR6Pw+VyoaenBzMzM4jH4w33DLlOhMNhdHR04A//8A+FFdH1YrcDsI9//ON405vehOHhYQBgtWi3281pzOXlZRiNRvT19SEWi3HgRCn9UqmE9vZ21jNyOBxwOByYmZmByWSC1+vF7OwsTCYTTCYTVldX4XK5UCqVmOxP3Ip8Pg8ALL65XblR6eO1Wyn+ubk5RCKRlox1O2NlZQXBYLAl530rYr7yWlMJoFlrifwjlZo8ykDMbDYjmUyy7c/GxgbC4TDW1taQz+fR1dWFZDKJTCaDUCgEvV6Pqakp6HQ69PX1YWlpiUub1DFJ6f5oNMoLHzWqSJLEqtdmsxlDQ0PQaDSYnZ3l0lwgEEBvby/b81y+fJnncTgcRjgchsViQa1Ww9ra2hUcK5VKhWAwiEAgAIfDwRsWAFxqzOfzyOVyzPGiDwqClBpgKpWKhSSV4q10PSqVCuv6raysNFxvoiQ4HA5IkoSNjQ3Mzc2xuCo9MKjbk6ybgE0CfjgcRqFQwPnz5zmYHhgYQLFYxLlz51Cr1RAOh1nwlmgRVDqmEo/H4+Hz2Nvbi/X1daysrMDj8cBsNmN2dhZ2ux0mkwnLy8twOp1QqVRIJpPM1anX63C5XFhdXYXD4UAmk4FWq4UkSWxTo/RzVJaomptJWgnSlTIajS0d93bE2bNnualsp2i2LyIfSUoANGsXNnNVDQYDVCpVg22V2WyGWq3G+vo6AoEA0uk0d+4uLS2hVCo1iLSSXuDS0hIsFgs6OzsxPT3NCgROp5OFpCORCNMr1tbWuCuSLNS+/OUv48UvfnFLzs1Vztm2AZhmqxefqygUCqhWq/jRj34Ev9+PAwcOMKE2lUphaGgIDocDFy9exJNPPon+/n4YDAbMzs4yv2t2dhazs7Noa2tjITq1Ws1mpZlMhrNb1FW1trYGv9+PXC7HgdXGxgZzK6gLrhlbCZ4qHwStCAJcLhfi8fi2xyDQCOpqbWtra1BBfyagRe5a13I7wVt64NH8IaI6sCnPQMERBQdKu5BgMIhUKsXZM0mSOEPS2dmJqakp5PN5dHZ2wmQy4cknn4QsyxgcHGTl9VqtxlItMzMziMVi7AFptVoxMzPD3YAdHR1ob29HqVTC+fPnOWNEPEuHw4FyuYylpSU89thjnD3RarXo6emB1+uF1WqFRqNhMv74+DiSyeQVUhGtgtVqhdvthsfjwfDwMA4dOsTOA/F4HHNzc/jxj38M4OluyP7+foyMjCCZTOLy5ctsJeT3+zEwMMAEfFo/Ojo6cOeddyKdTuP8+fP47//+b0QiEdx1112Yn5/HwsICEokEBgcH4Xa7MTY2hrNnz2JoaAgWi4Uzmf39/RgfH8f4+Dhz04ioTkE5ifcSr48600j0mbqrNzY2YDKZuKO1VCrxhoDm4labvlY3AO3fv589dgWujX379nHHajNn8ZlCeW2Vna604aGf0zVXclgBsFsCbQyBzWaWeDwOi8XCPEuy4aKERjwe5+CrWq0yJzUUCnEmubu7G8CmF6pKpWID7h/84AcANrnLNpuNuyINBgOy2eyOzsdOITJgCnzhC1/ABz/4QSwvL2N2dpa1eQwGAy5cuIBSqXQFyS8ajUKr1bJNEanjZ7NZhMNh5HI5Vo4ulUocbKVSKZTLZQ7SlKRWKh/RA5R2Fc0easqOR6D1C91P/uRP4itf+UpLx3wu4WUvexm+/OUvt3TMrTJgzfOC5kuzaS5lcrLZLG8IdDodnE4nZ3K1Wi2TW202G2ZnZ2EwGNiflHaj5XIZCwsL0Ov16OvrQzKZxNLSEvsblkqlBtuhUCiEpaUlNqUOh8Pc4Tc2NsbBEnULSpKEpaUljI2N8aLucDjQ2dkJl8vFu2gyB2/uRNXr9ZwNIx0wvV4PnU7H549277S5qNVqDa+R4n2xWOTP6XQay8vLV3RGmkwmtLe3w+12w2g0olarcTMC/W9qtZpLjeQJS0r3FHDqdDpMTEwgHo8D2HQT8Hg8HMiSrqBKpeJyChkWk49mZ2cnarUa5ubm2NNxcnIS1WoVnZ2dSCQSPAfIHkZZAnK73Q0aTqVSidcimlOUbW1em3Zbc/DNb34z3vve9+54nOcqRkdHOfjfKeiaKq81XX+lXA69Xi6XORNG2oUWiwXVahXFYpGfhRaLBUajEYlEAl6vl7PeHo8HGo2G9b2CwSAmJiZQr9cxNDSEdDqNpaUl2Gw2dHV1YWlpCfF4nM2+NzY2uImF7qt3vetdOH36dEvOx1XOkyhBXg8+8pGP4I1vfCMGBweh1+tx8eJFFAoFXvhp12mxWNDR0YG5uTlOm5rNZkxOTkKj0fB7KUAjC5hgMIjV1VVUq1X4/X7EYrEG81rlpMxms9DpdJzOp3SvcpIrFzugNRkvwmc/+1n8/M//fMvGe67i//yf/9PS86jUT1LOg2bvNuJlkI/lxsYGzy+j0QiVSsWCrcvLy2z8TkEVeZGS4fXs7CwqlQr6+vpYANVut3PJcWNjA16vl79PJpMwmUwYGBhApVLBxYsXUa1W4fF40NPTg0qlgkuXLiGXy0GlUnFJrlAosHUOsLk77u3thdvthizLSCQSmJyc5PI8sBlsUfBjMpnYO5OCBxI13tjYQCqVum7ZEKPRCKfTydwxo9HIQRyV4HK5HPPflEGZ1WpFd3c3PB4P6vU6EokExsfHORNJHaN6vR6xWIw7Esk8W5IkjI2NIZ1OQ6/XY3BwEACY5+X3+zmwSqfTcLlcbJidy+UQiURY9oNsmohLF41GsbCwwKKUi4uLUKvVcDgc7C9aLBYbuITNos+kO9gsFrybfK/nmrjqbuF//+//jXe9610tG0/5/FF62tI6RXODuJb1eh0GgwH5fJ7XJKV2IW0ODQYDZ+ytVivsdjsWFhZgMpl4PtfrdfT29iIej7Mout/vx9TUFIrFItra2uDz+TA+Po5cLger1Yq+vj5ks1lcvnwZf//3f4+XvexlLTsX25yfWysAkyTpvQBeDKAMYBLAL8iynL7W7+12APbBD34Qb33rW5kET7tFIhf39fUhn89jZmaGSwuxWIz1TcxmM2ZmZqDVahEMBplISK3/KpUKbrcbKysrDarlREo0mUzcJk8Pz+ZW7t3me5FKfzgc3vFYAptYXl5GOBxuycNoO8FWWtiaFccpiAc2eTNKnqHZbIYkSchms8z5qVariEQiLEVAPIxisYiOjg6sr69jbW0NTqcTfr8fk5OTqFQqLJZKnKNQKMQlyLW1NW5oIRHWTCbDGlVutxvpdJpLCQDQ29vLIrGrq6us/0PnoL29neVearUaC4cmk0nE4/Ft7wXypdPpdEzAp4CNOGGVSgWVSoWFXLeCSqWCz+djUjtpZJE8BWW26G/29vbC6XSiWq1iaWmJJSaMRiP6+/thtVqxsrLCgZjH42E1cGrw8fv9vJaQS0dfXx/W1tawtLTEmcrFxUUOiPV6PRPr6XpptVr4fD4sLi5e0QRUKBRYA5G4qFTGpkYFkkSh+ad88CqDrlatSXq9HvF4HDabbcdjCWziBz/4Ae6+++6WjLWdXlgzMZ94YdS8oTTypkCMdBUpeCLeZFtbG28UIpEI5ufnUavVmItNzUJ2u53lKvr6+qBSqRo07+jnJJvyyU9+Eq985Stbch6ucn5uuQDsAQD/JstyVZKkdwOALMtvudbv3Qwh1ve///2Ix+OYn5/n7iSVSoVLly6hXq+js7MTWq2WRRC7u7sRj8eRyWTg8/lYzdtiscBut7MKOS2wNpuNCcG0yJlMJtRqtQZ9p+vR92r1DpM6M5/LQoa7BVmW0dnZySW4VkBJgm3ebTZr8igXPbVajUKh0MBF1Ol0SKfTDTZYSoFgpVK6y+WC2+1mRfq+vj5UKhVMT09zNqter2NsbAz1eh3t7e3w+XyYn5/nBbWrqws+nw+pVIoXTI1Gg4GBATidTuTzebYXATaJ6z09PXC73dDpdCgUCojH45yZU8Lr9TZkrkh4lWyFgKd37RR0SZIEjUbD5UgqrRD5vlKp8HnJZrNIJpNX6CxRJs7n83EAnEgkMDExwUGwz+dDe3s7DAYDEokEnyONRsOB2OLiImumEYl4cXGRBZrpfFOw1tvbi1qthqmpKWi1WiYsr6+vw+/3cwbOZrPBZDIhFovBZrNBo9FwMJ3P57nhSOm2ATxtM9MssLoV4b7VmoN33XUXHnvssZaNJ/A0SqUSfD4fZ5tvFFsR84ErO7dp/lAZUqllSY0xLpeLOyRlWUYul0MgEODMdXt7O1ZWVlAsFtHe3o61tTVsbGw0iLZKkoS+vj5sbGxgaWmJkyelUgmTk5MANtcfp9OJ97znPbjvvvt2diKvfX5urQCs4QAk6aUAXi7L8v9zrfferBIkqVKTjZDX64Xf78fExATXqskegYKwRCLBmTASinS5XKjX61wiKBQKKBQKWwZelOKnyUkB2NW4Fa1c7F796lfjM5/5TEvGEtgeb3jDG/Bnf/ZnLR1zqwCMFr3mQEwpkqnRaBoyYjqdDjabjTve1Go1SxeoVCokEglYrVZ4vV5MT09DlmX09PQw+dxgMKCrqwtra2uIxWIcVFAwVqvV4HK50N3djWKxiEuXLnGw2NfXB6vVirW1NX4vsLkpoHJaLpfD0tJSg7eiTqdDKBSCx+OBxWLhQIC6ijc2NrijcydwuVzMi6OAlXb42WwWiUQCi4uL3HIPbPLcgsEgTCYTCoXCFZ2QfX197KF4+fJlVKtVluFQqVQYGxvj7FNfXx+q1Srv5iORCMxmMyYmJrjpQ6/XY3p6GhqNBtFoFIuLiyiVSgiHw1hfX8f6+jpcLhfbM/n9fqytraFSqXAwbrVauRmp+YFJc0nZ8biV5E2r1qX3v//9eNOb3rTjcQSujuc///n49re/3ZKxtuKFNZepaf40K+cbjUbOQCs7JHU6HVvxlctlbGxsIBgMolgsslQKiRdrNBouSVJ3cHt7O5aXl7G6usoZ51wuh/Hx8T0vQd4KXZC/COALe30QAFjS4eLFi/D5fBgaGsL8/DwSiQQKhQK6urowPz+PlZUV7rqYnJzE5OQkW6okEgm0tbVxm3QwGEQ2m8Xa2hq8Xi8HYSQtQURXWrxoQVPqEW2HVgVfX/va1/CCF7ygJWMJXB0f+9jH8LM/+7MtJ37SXGjuQqLvKaCh7/V6PdbX1zmbBGzyj1ZXV6FWq6HX67k5RKvVMifD7XZjdnaWU/qpVArJZBJWq5VLA8Q3I1X1eDzOJroGg4HV2ylbZrfbsba2hrNnz0KWZZZpcDqdKJfLmJ+fbzDldjgcaG9vh8PhgEqlQrlcRjqdxvT0NFZXV7c8PxQ4EY+LzLmbO0lJ/6uZP7a2tralsrjf72dtsu7ublQqFaTTaczMzDSUItvb29HR0YGenh4uqZ47dw5qtRq9vb04dOgQ1tbWMDExgccffxxOp5NdCMbGxnDu3DmEQiHs378fk5OTmJ+fh9PpRF9fH6anp7G0tAS/388t+QsLC5zRXlxcRCQSQaFQ4DWJspl07olLSJIB2Wx2287na0lKtGJdGh8fR09Pz47HEbg2vvWtb+Gv//qv8Yu/+Is7Hmurzu3m+UDPNspG0/e0FpFeGLBZvk8kEtxAREFVvV5HKpXie3pmZgZqtRodHR1YWFjgNSgQCDD30uPxMHeMfEu3oxjcLOxaBkySpG8DCGzxo9+VZfmRp97zuwDuBPDT8jYHIknSLwP4ZQCIRqN3tLKE04zPfOYz+MAHPoC5uTkmK3d1dSGVSmFpaYlLDCsrK8hkMnA6nbBarUxWVvK+/H4/d4XZ7XaO5qvVagO5lTISyq4RJc9iN7kVZrMZKysr3AggcPNAqfVWtEFvxQtTkmGV5WqdTodSqXSFhZFOp4Ner+d0fiqVQqVSQSgUQiwWY14XyRJEIhFks1luGmlra8Pc3BxniF0uF9sZ2e12dHR0IJPJsKhiNBpFIBBAJpPhEqTJZEJ3dzfMZjMymQz/PrAZHHZ2dsJqtQIA0uk05ubmrshsORwO+P1+tiKiIIs4ckq/RyrpN0OpB6ZWq6FSqfj8ETeMGhGUWmTAJrk+HA4zXymTyWBycpI7Ic1mMzo7O/n8j42NMZm9t7cXZrOZy43AZreWyWTiMSwWC6LRKFZWVrhUGAqFMD8/j0KhAK/XC61Wy6bZHo8Hs7Oz0Gq1cLvdiMViDRqEdrsd2WwWsiyz0KqybK30l92q+Ucp0NmKNSkUCmF2dlbI3uwBFhcXEY1Gd42rqnyWNT/P6P7P5XIs9KtsUPN6vVhdXYUkSfD5fJxhJ49bEnBNpVIs9up2uzE1NYVqtYr29naYTCaMj49zE1wgEMC73vWuXU8+3JIlSEmSXgPgVwDcL8ty/lrvB3a/BPkXf/EXeNOb3oSuri4m00qShM7OTpRKJSwuLkKj0aCjowMrKyusoaRWq7GysgKTyQSLxcKaJmq1mgO1XC6Hcrl8hcQEkaSVD0mlvspucSte8IIX4Gtf+1rLxhO4MbzgBS/Av/zLv7RkrK26kYjPR520VB4gtXKr1dogVUEm8Ol0GjabDbVajRfAUqnERswAmMgfDAaZixWJRKDX6zE5OcmlMrvdjunpaS6td3d3swwDmTUrS5BTU1O8OHd3d8Pn80GWZaTTaczPzzfoe3k8Hvj9ftjtduj1etTrdRQKBTbSTqVSLdP6sdlscLlcsFqtTOaXJAmlUonlKdLpdMP7w+Ew7HY7ZFlmeRsALFljt9uZByfLMpsOA8DExARv1qLRKBKJBD94urq6sLGxwcLQRM6nLjJS47fb7azrpbyeLpcLmUyG/6ZSYkKv13M1gNYlJeleWXps5br02te+Fp/85CdbMpbAjaFer2N4eHjHXr/biUg3d3ArJXSIT2g0GhsCMaPRCLVajWw2C4/Hw3qZfr8fmUwGxWIR4XAY+XyeOY1OpxMzMzMs0yLLMt97HR0dMBgMmJycxJe+9KXnnhCrJEkPAXgLgFPXG3zdDJDY24ULF9DV1cUlxqmpKUQiEW7Znp2dRTgcRrlcxurqKoLBIAdURqMRRqORO8uoM8put6NcLnP6vlnXS5n1Uk5e5edWLXZ/93d/h5e//OU7Hkdg5/j617+OL33pSy27HlebN6RWrdPpWDKA5Bzo/SaTCZlMhpXgKf0vSRLrP2m1WiwvLzfIVVC2TJIkthXq7OyEWq3mLr5gMMi7VxKp7ezshMfjwdraGn7wgx9woEjSE4VCARMTE0gkEvw/hsNh+P1+GAwG1Ot1FItFzho1E/IBwGKxwOl0sh6YTqe7wnhbef6UGTIqQ6ZSKeZRKaHX69mObGhoCJIkoVAoYGlpCbFYjE3aA4EAK/WTuPOlS5egVqvR09ODO++8E8vLy1hYWMD58+cRCoUwODiIxcVFJBIJXLx4kS2G5ufnWViVBCsXFxc5Ax+LxRAKhWAwGFhQV6PRYH19HT6fD7lcjiUlSAYE2BSipoYD5UOzmW+6G5v273//+zh27FjLxxV4ZiAKzh//8R/jbW972w2Po5wjW2XUlJlT+lyr1bhZiKgFAFisnLL5pLBfqVQ4w07ldZPJBJvNxsFXNBplIWfia5MEDoBtKQs3C3vVBTkBQA8g+dRLj8qy/CvX+r2bYUX0vve9jx8goVAIRqORd+QUdJGSuM/n4yxZMBhELBZjJ3p6D6nak6cjlTSUbblESqRUvzKT0cpOR4PBgOXlZTgcjpaMJ9A6kDBmq9Tb6YF5NYK+ssNWlmVUKhXeSFitVl7gvF4vkskkZFlGOBzG0tISarUaotEo4vE4K1dTB3Bz1hjYzGSpVCrMzMygUqnAbDajq6sLlUoFU1NTXA7s7u6G2+1GLpfjphcAnBmiLE46ncbi4uIV58vn88HlcjHnixZ2knehr4njRecKeDpYVXLE6H6lkmStVuPsGvkrKmGz2dDW1ga73Q5JkpgPRv+HxWJBV1cXDAYD4vE4l2TJaQAAJicnuYGCXALofe3t7QDAu/loNMocU4vFAofDgYWFhQapCa1Wy/w+s9kMWZaRz+c5w2AwGFCtVjk4V8rebKXr1cqsF62hWq22JeMJtA4zMzPo6ura0bXerkOS5lWzeLTymUhrAnHC7HY7crkclxDJZcbn82F5eRlqtRqhUIiFksPhMGq1GpaXl6HVatHZ2Yl0Os3OLt3d3XjPe96Dn/zJn2zJ+brKObi1MmCyLN+S7EqNRoN8Po/e3l5MT09jcXERXq+XDUEXFhYQDodZs4R2l4lEAmtra3A4HEgmkw1BlclkAgDk83loNBr27lOimTANPD1xWxV8nThxAt/97ndbMpZA60G8m5e85CX4x3/8xx2Pdz1kWGWJQCl1AoCtZ0h4s16vs41NrVZjk2bager1epZu6ejoQDabRTweZ2HiUqmEubk5AJsZLLfbjcXFRd6BknVXoVDAE088wcGR1+tFOBxmftqZM2cagi673c4BD5lCF4tFrK2tYXx8HKlUasfnkiBJEpxOJ2t/eTwezhhRQKjMklmtVnR0dODAgQPcBZlKpXDmzBnmlx44cIAVuy9cuIBgMIjBwUH2mBwbG2PyPlkVtbW1sTju/Pw8IpEISqUSstksNBpNw/pEZcVarQa9Xs+lnXw+z93VStPkrThxzQFXq7Lxv/7rv44Pf/jDOxpDYPfQ0dGBWq2G0dFRnD179obG2GodUs6drZ59wGaJnuYlZeklSUK1WuWSOQDOngObwXwymUSlUoHb7UalUuEgLRwOI5FIIJVKQa/Xo6OjA2trazAYDDf0f7UKt0IX5C2DWCyGpaUleDwedHR0YHZ2FolEggnICwsLWFpaQigUQqFQwPr6OrxeLwwGAwvMqdVq7sAgCxOlabIyw9Xsl7XdZNwpvvCFL+Bnf/ZnWzqmwO7gq1/9Kr761a+2bFd2tUBMSYIFwKKIFJABm4FhMplk4ixtLlQqFXdRkt4dsBlckSyDRqNhrZ5kMsmZMbVajfPnz7PUQUdHB3shUvBC5TpJkhCPxxuETa1WK3OrVCoVNjY22AB8qw2LxWLhjJjJZGog11O7PJ0XypIpCfdUsiOOibIbUqPRwOfzwev1YnR0FLVaDalUirtBz549C0mSEI1G0dXVhVqtxmXF8+fPw+l08qZuamoKy8vLSCaT6Ozs5O6u6elp7nCcmZnB0tISAoEA2traWJaD2vLT6TQCgQC0Wi3TICRJ4mCsVCpxZoGy7s1cQeWc2Gr+NH99Izhz5gz27du3ozEEdh+SJOHMmTP48Ic/jN/8zd/c0VjKudX8rGt+BhLHkDTo6BkLgGUpKFtbKpVgNptZeoY6nZeWliBJEsLhMFKpFPPJqImFrIv2EiIAU0Cn00Gn0/EuPxKJYG5ujuvPpJcUj8fhcrl4sXS73SgWi6zjRTtOtVrNxGNl4EUp/eaHhTK934ogzOl0snWDwLMHL3nJS9hOZivpg2eCrbgY20lU0EOYFjZ6SFOHHAVHNpuNj8vlcmFlZQW1Wo3vg0QiwYrVyWQS6XSam1eKxSIHU8FgEG63m5Xcgc2MVigUglqtxtLSEnPFVCoVotEoXC4X31dkqquEw+FgUUZSuqcyLClsExeTgiy6N5Wdj/Q9tbLTeatWq2xBRI04S0tLfPxutxuBQADDw8Oo1WpIJBKYn59nk+1QKIRAIAC32435+XmkUimkUilEo1H09/cjFothdXUVly9fRnt7O7q6ujAzM4OVlRV4PB5EIhHMzs4iFoux12U6ncbq6ircbjfi8Tgriq+urjYYaNN1Jt6p0ky7eS40y5Y0f32j6OrqwtjYmOhyfJbhN37jN/Dyl78cnZ2dnCW/UWy1JjUHYs0yTLQWEX8V2OSrKi3LEokEJEniNQkAd5qn02nodDoEAgEsLCzwc3mvS98iAFPAYrGwlhGVLtra2lgLLBgMco06n89z2UgpeEkLWi6Xa9BYAq4MvJonXSvx+te/vuWCnwI3DyaTCclkEq9//evx8Y9/fMfjXS3t3/w97VCNRiOXAtVqdYOIIpUCyDPQZDLxrhPY5E9mMhle+CKRCDKZDJPpOzo6oNfrMTU1hXw+D5VKhc7OTpjNZiSTSc6oabVaRCIRdpBYXl5uEGLVarXw+/1wOp1saF8qlZDP57GxsYG1tbWWaf2YTCaWnrFarexPSZkxkoagbB+R88lqiTS5lpaWWDdsfX0dMzMzmJubg8ViQTgchslkwtzcHGZnZxEMBjkbv7q6ytZmi4uLiMfjCAaDvB4ZjcYG6gOVcZRd2FRmbn7wNGt7KefEVmXJG8Ef/MEf4Pd///dbMpbAzUdbWxtKpRIeeOABfOtb37rhcbYqRW73LGzeHNLmS0nRMZvNyOfzkGUZDocDmUwG1WoVFosFtVqNM/iBQADxeJyDr2AwuOcSTCIAU4DUvoPBIBYWFpBKpaBSqZhUT7vMQqGATCYDr9eLbDaLbDYLm82GYrHYoJtDk2a7wGurSbfTXaZKpcLZs2cxNDS0o3EEbg38+Z//OX7zN38TIyMj1xTAvBqutuvcTqxVkiTWf6KNBAm4AmAtKWAzK0bBFbWKU+Y4EAhgbW2N76f29nZUq1WMjY1BlmUOPEqlEi5cuMC733A4DJfLxTZHymxXMBiEy+WCXq9nyxK6Z7eC3W5vEGElJftm2y1qRmgWY6USpNIEnP5Xj8eDQCAAv9+PYrHIfpQkxEoGwSMjI0gkElheXmZV/Egkgv7+fszNzSGbzWJ8fByRSATRaBRzc3NYXl6Gx+PhNSkej7PVEongOp1OxGIxpFIpVron/l6lUuFMFzVeKHG1YLxV2Xi9Xo/Z2Vn4/f4djSNwa+Cb3/wmvvGNb+Chhx5q2Zjb8VNpPioDMVmW2cwbeLokSdZh6XQaKpUKVqsV8XgcwGYmbH19HblcjhvoSNJlLyECMAVWVla4U5GEVJPJJPx+P1sDkXo9LciUEaPyIXV0VCqVLSUBlNiKdL8THDx4ED/60Y9atmMVuDUwMDCASqWCe+65B//5n//ZsnGb51tziZKg1Wo5E0a/R+3iVJ7M5/PMc9RoNGy54/f7kcvlkEqloFarEY1GUSgU+Ocej4dLZ1TWtNvtCAaDAICpqSnW8VKpVIhEItzFm81mMTMzc0UnpMVigcfjgc1mg16vb/hflZ2QxWKRNdGUgQZpodntdv4dZRkzk8lgdXWV1eQpCLVarczNoqBzYWGBs2LUMGCz2bgMMjk5Cb/fj0gkgng8zl2ToVAI7e3tmJubw+rqKnw+HwKBAJcoA4EAdDpdQwaSroHSvgwAf60sHW2XcWh1yfEVr3gFHn744R2PI3Br4cEHH0SlUkFPT88N+9teTaqi+ZnZXJJUq9VccVKWJGktsNls2NjYQK1W447udDoNSZKYSpTL5RrkbfYCIgBTgEi5qVQKWq2W/dHI15EUsEmIkoKxQqHAhFaluvZ2XC9CKzNfn/70p/Ga17xmR2MI3LqQJAnf//73W0bQVxJht+IiAmgQ2yRPN8qEabVa7kTSarUcPJGYKrDJD6tWqyzVQDIbyl2pxWLB/Pw88vk8E2ZJCJaCNCq72e121Go1zM/PN3DjJEliPhQ1CJDhfTKZRDabxcbGxg2X+tVqNZP4zWYzXC4Xe76SRhjxweiceL1eeL1eDA8Ps5NGJpNBJpNBKBRCNBrF+vo6FhcXsbKygnw+j0AgAI1Gg9XVVdb1CgQCbOcUDAZZMJd4XolEgnUGqexqMpk4g0d+lZT52i7buVXmaydQqVT44Q9/iIMHD+5oHIFbFxqNBjMzM/jgBz/YMs/O7dai7QIxKrMDT2fCVCpVQyaM7IyAzQ1foVC4qtXWzYQIwBQwGAwsK0G7TtJMUu4ylYa0NEGIHwNcm9u1k1JSMyKRCMbGxva8nVbg5uAlL3kJCoUCBgYGbnjnCVxfd2Tzz5XiiPS6Xq9v2IFS+Y6sjYgM6/F4UKlUOPiie2tmZgbVahVarRZtbW2sFUaLqs/ng9vtRr1ex9LSUkPgZbVamXAPgAVQk8lkgym2Ejqdjn3liHCv0Wg4M0Z6WJVKhU2pqbNRWd7UarXweDywWq3sB5nNZjmYSiQSSCQS8Hq9LFuRSCSY35ZKpRAIBBCJRLC4uIiNjQ2Uy2UEg0HU63Wsra1heXkZgUCAy400Xi6XYzNjWp/q9foV7gekZq9cb65Gg2hVyfHuu+/Go48+KjLxzxG88Y1vxKtf/Wp0dHRcYc31THA9Yr/Nm0a1Ws0ldlqHSG4FABt+E6eVaEYAWMFgLyECMAWo1Z4CLfJFIwsW0s/J5/NMQC6Xyywq17y7JFxL8+RG8ed//uf4lV+5pn6twG0Gg8GAmZkZ/Nmf/Rne8IY37Hi8a5XIaT7TAqlWqzkQ02q1vNjp9Xq24rFYLEin07zwaTQaDsacTif0ej0WFxdRrVZhMBgQDAZZsZpEY9va2qDVaplTRXC73fB4PJxxXlpa2lLR2mazwWazwWAwsPp9s+yE8rNSlZteV3Y+UgY8m82iUqlwQ4AkSfB6vXA4HOjq6mKx5nQ6zZs58sc0mUxYWlpCPp9nTa9oNIrFxUWUSiWWmKhUKtjY2EAikWCR23K5zJ3W1OBA6xM1/VSrVdbzItsg4Pr4p63Al7/8Zbz0pS9t6ZgCtz5cLhfW19fxG7/xG/jIRz5yQ2NcrSTZjOb5TIEY0Jid1+l0nIGnNQnY3LyR1d9eQgRgTUilUhxokbYXLX5KPzSC0kKIsB33q1WLXSAQwOTkpJCXeI7jV3/1V/ELv/AL6OnpaYmezXYP6a0ClebyJNmEyPKmzxtZ8gCbnK50Os3cMZPJhHg8zl5wxBOjIMtsNiMQCKBarWJ+fp4XVhI/JfFQKl0SVCoVXC4X7HY7lyJledNaiDSycrkcSqUSBypbgRTwDQYDTCYTrwEulwtutxu1Wo0bcdbW1iDLMuLxOHvAejwe+Hw+OJ1O7rqKxWLIZDLw+/2IRqNYXl7m/yEQCHCpsVwuI5FIwOVysWYXbf5oLBKAJdsyuh60m1caZTcH0VfTHNzJxnBwcBBnzpzZc1KzwN7iwx/+MN761reit7e3Ja4e11qTlFqGyvKkLMsstQKA5StIXofsjfY6S6u69lueO8hmsyiXyyiXyw0K9jqdDgBQKpV4gWnWywG27yhq5S7zve99L5aXl0XwJQBg08JmcXGxJVIVhO0e0soHdPP8p6AIaCwBUJMK/cxqtSKTyXDZgGyHKPiyWCzcXTw7O8sLaDAYhN/vR61Ww8LCAmZnZzn4MpvNiEQi6Ovrg9/vZ/7HxMQEzp07h0uXLmFqaop5WCSjsR3IgomEGicnJ3Hx4kWcO3cOU1NTLEAbDAbR39+PcDjMHCtqDKBMXltbG3w+H4DNEuns7CwbCdM9HIvFUCqVmFtKHBWbzQZgU9KGyPXA5ppEzQVKsr0y2Nouy7cbYs9f/epXceHCBRF8CQDYvFez2Sx+53d+p2VjXqtLkjaC1LkNPC0sDTSuSVarldeAZm/Xmw1xxyhAO/ZsNsudXcVikRdC8tED0LCAb7fItTLwCgQCGBsbg9VqbdmYArcPXve61+E1r3kNBgcH2Tdwp7iaUwORtZXt4UrNMFrsDAYDlwMsFgvq9Tp3NTqdTlQqFS4fks5WOp3mUoFWq0UgEIBarUYikeDXaTyPxwO9Xo9arcb+jFsJRdKul2QoyOtR+X8puVOUfSIZCrq3c7lcw//mdrthMpkQjUZZhDafz7M8DWXkQqEQYrEYarUaYrEY3G43Z9NKpRLzu0hYNZPJwOfzcQBL2Xjq3iTeG/G8gK3FU68WRO8Uhw8fxve///09L+MI3Jp4z3veg7e85S3o6elpuG9vBNd6tiq/p2czNeMAT+sYApubReJzKru79wIiA6YALSTVahX1ep0Xtq0u+laL3LW6Hm8Un/70p7G8vCyCL4GrwmAwYHp6Gp/73OdaOu5WAVhziYv4UvQ1gIYSILBZBqAdp06ng0ajYW0vUp3P5XK8WBsMBgQCASbg0+tqtZozYrIsI5FIYHJykkt4BIvFgmAwiK6uLvT19aG9vZ27JWkjRcep1AMzGAysgN/e3o7e3l50dnYiEAg0ZJ6LxSIWFxcxOTnJ4qt0XDQeqfyrVCoEg0EO+pLJJIrFItxuN9RqNWRZRiaTgV6v50zS+vo6lxVJMkPZvQo0Zru2Wp+U165V5RaVSoXvfe97ePTRR0XwJXBVuN1upFIp/OEf/mFLxttOH+xqz1wlQZ/kWEhaZq/nr8iAKaBSqZjvValUmNdCViVbPWSu1s6/Uxw9ehTf+9739nySCDy78KpXvQo/93M/h6NHj+IHP/hBS8ZsnufN2lnK99GiqCTrazQa1t8Cnu5OooXRbrejUChwl6NWq+UMEVkdAZtBldPphFqtRiqVusKqiYIn6nQENjdU1GWoFFi9GgwGAwu2arVa6PV6VsCvVqt8rOVyGfV6Haurq2xLZrFY0NbWhmQyiUKhgFKphFgsBp/PB4/Hg3g8jlqthtXVVc6Qra2tcbaNLFao21qlUnEzwHbrkPJrZTmmlYKqAPDQQw/ha1/72p5zZwSeXfi93/s9vPGNb8TIyAjm5uZaNm7zBmM7Ij+tM8pMmFarvUKI+WZDBGAKUFQMoEHJ/nqIqrRItgJarRaPPfYYDhw40JLxBJ57UKvVeOyxx/Dkk0/i7rvvbpl/m/KhrnxdGRAoCfrKnScFPaS3p+SJSZLE2TEi01cqFSQSCf4bVqsVDocD9Xod8Xi8IYgikjyNVa1WuQyotAO7XhSLxSssjEwmEywWCwwGA4xGI9ra2tiGqFqtQpZlFmglwn4qleJAMxaLNQjPyrKMjY0NzshRN6PdbufzrBRRpTWJgjHCtXhdrQi8zGYzfvzjH6Ovr2/HYwk8N2G1WjE7O4svf/nLeNnLXrbj8Zo3GM2bwq0ywkopHco87yVECVKB5rKjsryynYBhqzscX//616NcLovgS6AlGB0dRalUwm//9m+3ZLztuBhbdQErf67sUtJqtRywAGjwlwQ2H/ayLCOVSjUEX3a7HcViEUtLSw3Bl8vlQjAYhMFgQKFQYKufRCKxbfCl1+thsVhYqoI+LBbLtga9+Xwe8Xgcc3NzWFlZYW3AtrY2Vuen91E51Ol0Ml+rVquxGreSw0WZLnqPUj5Cqeu1FblemXHczvJsp3j3u9+NbDYrgi+BluCnf/qnUa/Xd2xldL2aYc0JlGZZnb2EyIApcC1Oy1aLXasuYDgcxpkzZ+B0OlsynoCAEn/6p3+Kd7zjHdi3b19LSPpbcTGuVgJQ3k/K7iT6HepoJBqAsjyp0+mYjK4MyjQaDdxuN6th53I5Jvg3g+QkDAYDl/RJ00wZ4CiPn+QrqBlHCaUtGWXGdDodVldXUa/X2QSYAjCSviCjcL1ezwbCVHYkUIconUNlue9qFIhWE+0PHDiAxx57bNuAVEDgRiFJEr7+9a9jdnYWBw8e3NbD9ZmgeTOofEY3J1Do9VaKot8IRAZMASLfA43B1nZCja2ARqPBv/7rv2J+fl4EXwK7CovFgunpaXznO99p6UO1+b7YKivWnFFWdidRwAJsBlu1Wq1BQ8hkMnH2SBnEORwODubW1tauCL7UajX7Sno8HpjNZr6v6YOMqzc2NlAqlRp+plKpYLFY2IfRZrNdwRlZX19HKpViiRqn09lgRZbJZFCv1xsCLAq86BqQb6yyCUh53pSB7FbnVnnuWwGLxYJz587h8ccfF8GXwK6ivb0da2tr+Ju/+ZuWjqssSyrRXOVqNW/7mUIEYArQwkvYrtzSqh3mW9/6VlQqFdx3330tGU9A4Hpw+vRplMtlvOMd72jJeNt1Jim5Ys3ZMGXQprznyLuQQF2B+Xy+4X1WqxUqlYo5WJQtozGtVitcLhfMZjPzPkgeIp1OIx6PY2lpCbFYjG2DYrEYFhcXWcU+l8uhUCiw1IPFYmGSvTLgKZVKWFtbQ6FQgFqthsVi4Z+RpZFWq+VgprnM2HxOlOer+fzQ+3ZrTfqLv/gLbGxsYHh4uCXjCQhcD/7H//gfqNfrePWrX92S8ZqzwcqsmHKDJDJgtxC2uiC7USe+5557UCqV8Cd/8ictHVdA4Jng7W9/+65tAJobWCijRF8TlNkwgvJ7CsiUnC+DwcA2RM0m25T1MhqN3PGUzWaxtraG1dVVDqyUAVszKpUKcrkc+y+ura0hn8+jWq1CrVbDZDLBZrM1BEy1Wg3r6+ssmEqiqQDYM1YZcCk5cPR9s7wEoTnY2o0OxFe+8pWo1+v45V/+5ZaPLSBwPZAkCZ/5zGewvr6OoaGhloypDMSaM/W1Wk1kwG4lFIvFbcn2rUBnZyeSySS+973vNSzQAgJ7BSqBJ5NJdHd3t2zcrbJhBGUwtpWgYrPIcXNwotFoUK/X2YRaCaUFEQVSmUxmR12g5XIZmUyGAzcqF5L6vfL/Io0hZbBFJt/NbfHNa4uyvLrVg2E35G4OHTqEXC6Hz3/+80JaQuCWgNVqxfnz5zE1NcXuEK0A3W+0vtAaspcQAZgCxDtp9ULkcDjYxsTlcrV0bAGBVsDlcmFiYgJjY2Nwu90tHVu54wQaSbHNPIytjOybAw4KypqDKqXhNmXHlF6RO4Esy0zyJ11AZVmRUC6Xt7Q52ipoavaU3eq9u1UiiUajiMVi+NGPfiRszQRuSXR2diKRSODf//3fuUu4VaA1abumnZsFEYAp0NzivVOYzWb827/9G1KplOBUCDwr0Nvbi9XVVXz3u99t2YNZeT9tVYZUdvqR2CihuTNR+TvbEdHr9TqLrrYaNC4dc/NmjTJdW3nXKY9XKcuhtExptndqNVwuF86ePYvZ2Vn4/f6Wjy8g0GqcOnUKhUIBDz/8cMsqR0pdsL2ECMAUuJpB7zOB0WjEv/zLvyCbzeLee+9tyZgCAjcTJ06cQC6Xwze/+U3WrGoFmu2MgKuXJLfKADXzp5rHr1Qq13UvS5LEorDKr68GCqQqlcq2pcCt2tubX1NmAZvthVqtLQhsWsL8+Mc/RjKZxMjISMvGFRC4WXjFK16BUqmEz3zmMy3rzhUcsFsIZBp8ozAajfjHf/xH5PN5PPjggy06KgGBvcPzn/98ZLNZ/Ou//mtDd18r0MwLIxDZHXg606W046IArDlYoiaaZ5rB3iqTda3jpoCqOdCjph3l/6PRaBqCRqUdCh238ndbCbfbjccffxyrq6s4ePBgS8cWENgLvPrVr0a5XManPvWpHQdiOzUJ3ylEAKbA1Tqjrga3243/+q//Qj6fx4te9KIWH5WAwN7jvvvuw8bGBv7jP/6j5RyxZjT7FpIMBIECn+bFt1qtcgnwekoLxC9TflxPAEQk+a2yYBqNBpVK5YoMmHJtuVrmrFWIRCI4f/48VldXhauGwG2JX/zFX0S5XMZXv/rVG87SCxmKWwjPlLDb0dGBiYkJrK6u4siRI7t0VAICtw6OHz+O1dVVzM7O7qo1TbMCfKVSaciCKf3clCAxVSopthpqtZp5Ws0cM/KWUwZblP0i7Lb9yd13341kMom5ubmWtfILCNzKePGLX4xsNosf/vCHz5jX2KomnRuFCMAUuN4S5EMPPYRMJoPp6emWtu4LCDxbEI1GcfnyZWSzWTzwwAO78jeaAxUlVwzYDMK2Kh9SJ6JWq22Qg9gpNBoNZ7iagy86LmXwpSTXE3Yr+HrlK1+JcrmM//7v/xad1gLPSdxxxx2IxWKIx+M4fPjwdf1OKyyQdgIRgCmQTCa3/Zler8f73vc+1Ot1fP3rX4fNZruJRyYgcGvCbDbjG9/4Bur1Oj760Y9eoY3VajRnxohb1ZztUoq3arXaKzJlzwQajQZarRayLLOnoxJUkmzuctxtgq/dbsfnP/95yLKMz3/+88I2SEAAgNfrxaOPPoparYa3vOUtV92ExePxm3hkV0LaazfwZ4I777xT/uEPf7hr42u12isW1/379+Phhx/G4ODgrv1dAYHbCRMTE3jpS1+Kc+fO3dS/e7XyHgVoSqmK7d6rLF8SH+1WWiePHj2KL3/5ywgEAnt9KAICzwr813/9F171qldhamqq4XWn04m1tbVd/duSJP1IluU7t/qZyIApEAwGAWwq8X7kIx9BvV7Hk08+KYIvAYFngJ6eHpw9exb1eh0f//jH4XA4bsrfvVqQRCT75k5JKmEqS5nUxUhWJbdC8OXz+fDFL34RsizjP//zP0XwJSDwDHD06FFMTk6iWq3i93//91nYdd++fXt6XCIDpgDVg51O5679DQGB5yJyuRze8IY34OGHH95z+49nC0wmE173utfh3e9+tygvCgi0GAsLC/B4PC1X2W+GyIBdJ5xOpwi+BAR2AWazGZ/+9KdRLBaRyWTw2te+dtcXvmcjLBYL3vzmN6NQKCCXy+H973+/CL4EBHYB4XB4z9cgEYAJCAjcVNhsNnzyk59EoVBANpvF2972Nni93r0+rD1DOBzGn/7pn6JUKmFjYwPvfe979/zBICAgsPvYkwBMkqQ/kiTpjCRJT0iS9E1Jktr24jgEBAT2FmazGX/0R3+EeDwOWZbx6KOP4vTp09Dr9Xt9aLsGo9GIn/iJn8D58+chyzLm5+fx27/92y3zuRMQEHh2YK8yYO+VZXm/LMsHAPwTgN/fo+MQEBC4hXD48GF85zvfQbFYRL1ex/e//3285CUvgdVq3etDu2G4XC688pWvxBNPPAFZlpHP5/HP//zPQihVQOA5jtapFD4DyLK8rvjWDODZ0wkgICBwUyBJEo4dO4ZHHnmEX8vlcviHf/gHfO5zn8MPf/hDpFKpW6JLEdiUunC73Th27Bhe85rX4Cd+4idu60yegIDAzrBnXZCSJP0xgFcDyAC4V5blxDbv+2UAvwwA0Wj0jtnZ2Zt3kAICAs8KZDIZfOc738E//dM/4Yc//CFisRjW19dRLBZbFqCpVCoYDAbY7XaEQiHcfffdeNGLXoQTJ0603KhcQEDg9sDVuiB3LQCTJOnbALYSq/ldWZYfUbzvrQAMsiy//Vpj7rYMhYCAwO2NcrmMTCaDWCy2pfOFSqWC1+uF1+uFzWYTvCwBAYEd4WoB2K6VIGVZft51vvVvAfwzgGsGYAICAgI7gU6n4wBLQEBAYC+xV12QvYpvXwLg0l4ch4CAgICAgIDAXmBPSPgA/j9JkvoB1AHMAviVPToOAQEBAQEBAYGbjr3qgnzZXvxdAQEBAQEBAYFbAUIJX0BAQEBAQEDgJkMEYAICAgICAgICNxkiABMQEBAQEBAQuMkQAZiAgICAgICAwE2GCMAEBAQEBAQEBG4yRAAmICAgICAgIHCTIQIwAQEBAQEBAYGbjD0z474RSJKUwKZw67MdHgCre30QAjuGuI63D8S1vD0gruPtg9vlWrbLsryl99mzKgC7XSBJ0g+3M+cUePZAXMfbB+Ja3h4Q1/H2wXPhWooSpICAgICAgIDATYYIwAQEBAQEBAQEbjJEALY3+MReH4BASyCu4+0DcS1vD4jrePvgtr+WggMmICAgICAgIHCTITJgAgICAgICAgI3GSIA2yNIkvReSZIuSZJ0RpKkf5AkybHXxyTwzCFJ0s9IknRekqS6JEm3dcfO7QhJkh6SJOmyJEkTkiT9r70+HoEbgyRJfyVJUlySpHN7fSwCNw5JkiKSJH1HkqSLT62rv7nXx7SbEAHY3uFbAEZkWd4PYAzAW/f4eARuDOcA/DSA7+71gQg8M0iSpAbwMQAvADAE4OckSRra26MSuEF8GsBDe30QAjtGFcBvy7I8COAIgDfczvekCMD2CLIsf1OW5epT3z4KILyXxyNwY5Bl+aIsy5f3+jgEbgh3A5iQZXlKluUygIcB/OQeH5PADUCW5e8CWNvr4xDYGWRZXpZl+cdPfb0B4CKA0N4e1e5BBGC3Bn4RwNf3+iAEBJ5jCAGYV3y/gNt4sRcQeDZBkqQOAAcB/PceH8quQbPXB3A7Q5KkbwMIbPGj35Vl+ZGn3vO72Ey7/s3NPDaB68f1XEeBZyWkLV4TbeECAnsMSZIsAL4E4I2yLK/v9fHsFkQAtouQZfl5V/u5JEmvAfAiAPfLQg/klsW1rqPAsxYLACKK78MAlvboWAQEBABIkqTFZvD1N7Isf3mvj2c3IUqQewRJkh4C8BYAL5FlOb/XxyMg8BzEDwD0SpLUKUmSDsArAXx1j49JQOA5C0mSJACfAnBRluX37/Xx7DZEALZ3+CgAK4BvSZL0hCRJH9/rAxJ45pAk6aWSJC0AOArgnyVJ+sZeH5PA9eGpJphfA/ANbJJ9vyjL8vm9PSqBG4EkSZ8H8F8A+iVJWpAk6Zf2+pgEbgjHAfw8gPueei4+IUnST+z1Qe0WhBK+gICAgICAgMBNhsiACQgICAgICAjcZIgATEBAQEBAQEDgJkMEYAICAgICAgICNxkiABMQEBAQEBAQuMkQAZiAgICAgICAwE2GCMAEBAQEBAQEBG4yRAAmICDwrIckSR2SJJ27xntOS5KUkSTpa4rX/kWSpLQkSf+0xft/7imrsO3GOyFJ0oVr/V0BAQGBrSACMAEBgecSvifLslLY8b3YFH7cCg8B+JftBpJl+XsAbluRSAEBgd2FCMAEBARuK0iS1CVJ0uOSJN11rffKsvyvADa2GEMCcADAjyVJuluSpP98asz/lCSpv/VHLSAg8FyDMOMWEBC4bfBUcPQwgF+QZfmJHQx1EMCTsizLkiRdAnBSluWqJEnPA/AnAF6286MVEBB4LkMEYAICArcLvAAeAfCyFng6PgTg6099bQfwGUmSegHIALQ7HFtAQEBAlCAFBARuG2QAzGPT0HeneADAN5/6+o8AfEeW5REALwZgaMH4AgICz3GIDJiAgMDtgjKAnwLwDUmSsrIs/+2NDCJJkh2ARpbl5FMv2QEsPvX1/7vTgxQQEBAARAAmICBwG0GW5ZwkSS8C8C1JknKyLD9ytfdLkvQ9AAMALJIkLQD4JQBWAN9WvO092CxB/haAf9ulQxcQEHiOQQRgAgICz3rIsjwDYOSpr9MArtkB+dR7TzS/JknSXwL4S8V7/gtAn+Itv7eDQxUQEBAAIDhgAgICzx2UAYwohVi3gizLr5Vl+dFrDSZJ0gkA/whgtUXHJyAg8ByCJMvyXh+DgICAgICAgMBzCiIDJiAgICAgICBwkyECMAEBAQEBAQGBmwwRgAkICAgICAgI3GSIAExAQEBAQEBA4CZDBGACAgICAgICAjcZ/z85leQgI+RaGAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.xlabel('k [1/a]')\n",
    "plt.ylabel('Energy')\n",
    "for i in range(atoms):\n",
    "    plt.plot(kx_list,energy_list[:,i], 'black')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "064dd945",
   "metadata": {},
   "source": [
    "### 3.3 Landau quantization & Quantum Hall effect (Metallic behavior due to edge channels)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "588c2b0e",
   "metadata": {},
   "source": [
    "- Modify hoppings \n",
    "\n",
    "\\\\( \\vec{A}(\\vec{r}) = -B y \\vec{e}_x \\\\)\n",
    "\n",
    "\\\\( \\vec{B}(\\vec{r}) = \\nabla \\times \\vec{A}(\\vec{r}) \\\\)\n",
    "\n",
    "additional factor: \\\\( \\exp\\left(i\\int_\\mathrm{hopping}\\vec{A}\\cdot\\mathrm{d}\\vec{r}\\right) = \\exp\\left(-i(x_2-x_1) B \\frac{y_1+y_2}{2}\\right)\\\\)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "5c2eb822",
   "metadata": {},
   "outputs": [],
   "source": [
    "atoms = 160 # Multiples of 4!\n",
    "bfield = 0.1\n",
    "\n",
    "array_mod_r = np.array([np.exp(bfield*1j*np.sqrt(3)/2*a0*i/2*np.sqrt(3)/2*latlength) for i in range(0,atoms)])[0:-1]\n",
    "array_mod_l = np.array([np.exp(-bfield*1j*np.sqrt(3)/2*a0*i/2*np.sqrt(3)/2*latlength) for i in range(0,atoms)])[0:-1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "fda90af7",
   "metadata": {},
   "outputs": [],
   "source": [
    "k_points = 201\n",
    "kx_list = np.linspace(-np.pi/a0,np.pi/a0,k_points)\n",
    "ky = 0\n",
    "energy_list = []\n",
    "\n",
    "for kx in kx_list:\n",
    "        # define the offdiagonal elements\n",
    "        offdiagonal1a = np.tile(np.array([np.exp(1j*a0*(np.sqrt(3)/2*kx+1/2*ky)),0]),atoms//2)[0:-1] * array_mod_r\n",
    "        offdiagonal1b = np.tile(np.array([np.exp(1j*a0*(-np.sqrt(3)/2*kx+1/2*ky)),0]),atoms//2)[0:-1] * array_mod_l\n",
    "        offdiagonal1c = np.tile(np.array([0,np.exp(1j*a0*ky)]),atoms//2)[0:-1] \n",
    "        offdiagonal2a = np.tile(np.array([np.exp(-1j*a0*(np.sqrt(3)/2*kx+1/2*ky)),0]),atoms//2)[0:-1] * array_mod_r\n",
    "        offdiagonal2b = np.tile(np.array([np.exp(-1j*a0*(-np.sqrt(3)/2*kx+1/2*ky)),0]),atoms//2)[0:-1] * array_mod_l\n",
    "        offdiagonal2c = np.tile(np.array([0,np.exp(-1j*a0*ky)]),atoms//2)[0:-1]\n",
    "        # Hamilton matrix\n",
    "        ham = np.diag(offdiagonal1a, k=1) + np.diag(offdiagonal1b, k=1) + np.diag(offdiagonal1b, k=1) + np.diag(offdiagonal2a, k=-1) + np.diag(offdiagonal2b, k=-1) + np.diag(offdiagonal2c, k=-1)\n",
    "        # energies are the eigenvalues\n",
    "        energy_list.append(np.linalg.eigvalsh(ham))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "f5ce771d",
   "metadata": {},
   "outputs": [],
   "source": [
    "energy_list = np.reshape(np.array(energy_list), (k_points, atoms))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "d265d54b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.xlabel('k [1/a]')\n",
    "plt.ylabel('Energy')\n",
    "for i in range(atoms):\n",
    "    plt.plot(kx_list,energy_list[:,i], 'black')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8e18f805",
   "metadata": {},
   "source": [
    "- 2016: Nobel Prize Physics: David Thouless, Duncan Haldane and Michael Kosterlitz “for theoretical discoveries of topological phase transitions and topological phases of matter”"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "40aabcac",
   "metadata": {},
   "source": [
    "## 4. Twisted bilayers & Moiré patterns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "id": "c25ed294",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Twisting angle [°]:    2.645908381192724\n",
      "Number of atoms (analytical, per sublattice):    468.99999999999994\n"
     ]
    }
   ],
   "source": [
    "z0 = -3.349\n",
    "\n",
    "twist = 12\n",
    "nmax = 4*twist\n",
    "\n",
    "alpha =  2. * np.arctan(np.sqrt(3.)/2./(3.*twist+1.5))\n",
    "\n",
    "print (\"Twisting angle [°]:   \",alpha*180/np.pi)\n",
    "print (\"Number of atoms (analytical, per sublattice):   \", ((3.*twist+1.5)**2+(np.sqrt(3.)/2.)**2)*np.sin(np.pi/3.)/(3*np.sin(np.pi/3)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "id": "f37770ef",
   "metadata": {},
   "outputs": [],
   "source": [
    "# lattice vectors sublattice 1\n",
    "a1 = latlength * np.array([1., 0., 0.])\n",
    "a2 = latlength * np.array([-0.5, np.sqrt(3.)/2., 0.])\n",
    "\n",
    "# lattice vectors sublattice 2\n",
    "b1 = np.array([ np.cos(alpha) * a1[0] - np.sin(alpha) * a1[1], np.sin(alpha) * a1[0] + np.cos(alpha) * a1[1], 0. ])\n",
    "b2 = np.array([ np.cos(alpha) * a2[0] - np.sin(alpha) * a2[1], np.sin(alpha) * a2[0] + np.cos(alpha) * a2[1], 0. ])\n",
    "\n",
    "# superlattice vectors (Moire pattern periodicity)\n",
    "s1 = latlength/np.sqrt(3.) * np.array([-np.sqrt(3.)/2., 3.0*twist+1.5,0.])\n",
    "s2 = np.array([np.cos(-2.*np.pi/3.)*s1[0]-np.sin(-2.*np.pi/3.)*s1[1], np.sin(-2.*np.pi/3.)*s1[0]+np.cos(-2.*np.pi/3.)*s1[1], 0.])\n",
    "\n",
    "# reciprocal lattice vectors\n",
    "r1 = 2 * np.pi * np.array([s2[1], -s2[0], 0.]) / abs(s1[0] * s2[1] - s1[1] * s2[0])\n",
    "r2 = 2 * np.pi * np.array([-s1[1], s1[0], 0.]) / abs(s1[0] * s2[1] - s1[1] * s2[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "id": "38312239",
   "metadata": {},
   "outputs": [],
   "source": [
    "#Coordinates sublattice 1 & 2 for layers 1 & 2\n",
    "coords1a = np.array([i * a1 + j * a2 for i in range(-nmax-1, nmax+1) for j in range(-nmax-1, nmax+1)])\n",
    "coords2a = np.array([i * b1 + j * b2 + [0.,0.,z0] for i in range(-nmax-1, nmax+1) for j in range(-nmax-1, nmax+1)])\n",
    "\n",
    "coords1b = np.array([i * a1 + j * a2 + [0.,a0,0.] for i in range(-nmax-1, nmax+1) for j in range(-nmax-1, nmax+1)])\n",
    "coords2b = np.array([i * b1 + j * b2 + [-np.sin(alpha)*a0,np.cos(alpha)*a0,z0] for i in range(-nmax-1, nmax+1) for j in range(-nmax-1, nmax+1)])\n",
    "\n",
    "coords1 = np.concatenate((coords1a, coords1b), axis=0)\n",
    "coords2 = np.concatenate((coords2a, coords2b), axis=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "id": "78dec18c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.axes().set_aspect('equal', 'datalim')\n",
    "x1, y1, z1 = coords1.T\n",
    "x2, y2, z2 = coords2.T\n",
    "plt.scatter(x1, y1, s=30/twist**2)\n",
    "plt.scatter(x2, y2, s=30/twist**2)\n",
    "\n",
    "plt.scatter([0, s1[0], s2[0], -s1[0], -s2[0], s1[0]+s2[0], -s1[0]-s2[0]],\n",
    "            [0, s1[1], s2[1], -s1[1], -s2[1], s1[1]+s2[1], -s1[1]-s2[1]],s=200/twist**2, \n",
    "            c='r')\n",
    "\n",
    "# define corner points\n",
    "corner1 = np.array(( 2*s1+1*s2)/3)\n",
    "corner2 = np.array(( 1*s1-1*s2)/3)\n",
    "corner3 = np.array((-1*s1-2*s2)/3)\n",
    "corner4 = np.array((-2*s1-1*s2)/3)\n",
    "corner5 = np.array((-1*s1+1*s2)/3)\n",
    "corner6 = np.array(( 1*s1+2*s2)/3)\n",
    "\n",
    "# plot the unit cell boundaries\n",
    "plt.plot(\n",
    "    [corner1[0], corner2[0], corner3[0], corner4[0], corner5[0], corner6[0], corner1[0]],\n",
    "    [corner1[1], corner2[1], corner3[1], corner4[1], corner5[1], corner6[1], corner1[1]],\n",
    "    c='r')\n",
    "\n",
    "plt.savefig('lattice.png', dpi=300)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
