{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "16da8c60",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "51dfd740",
   "metadata": {
    "load": "myst_code_init.py",
    "tags": [
     "remove-cell"
    ]
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Loading pyMOR defaults from file /builds/pymor/pymor/docs/source/pymor_defaults.py\n"
     ]
    }
   ],
   "source": [
    "import warnings\n",
    "\n",
    "import matplotlib as mpl\n",
    "from IPython import get_ipython\n",
    "\n",
    "import pymor.tools.random\n",
    "\n",
    "ip = get_ipython()\n",
    "if ip is not None:\n",
    "    ip.run_line_magic('matplotlib', 'inline')\n",
    "\n",
    "warnings.filterwarnings('ignore', category=UserWarning, module='torch')\n",
    "\n",
    "pymor.tools.random._default_random_state = None\n",
    "\n",
    "mpl.rcParams['figure.facecolor'] = (1.0, 1.0, 1.0, 0.0)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f75d0368",
   "metadata": {},
   "source": [
    "# Tutorial: Reducing an LTI system using balanced truncation\n",
    "\n",
    "Here we briefly describe the balanced truncation method,\n",
    "for asymptotically stable LTI systems with an invertible {math}`E` matrix,\n",
    "and demonstrate it on the heat equation example from\n",
    "{doc}`tutorial_lti_systems`.\n",
    "First, we import necessary packages, including\n",
    "`BTReductor`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "43133116",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import scipy.sparse as sps\n",
    "from pymor.models.iosys import LTIModel\n",
    "from pymor.reductors.bt import BTReductor\n",
    "\n",
    "plt.rcParams['axes.grid'] = True"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b0bfc8c3",
   "metadata": {},
   "source": [
    "Then we build the matrices"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "7688633a",
   "metadata": {
    "load": "heat_equation.py"
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import scipy.sparse as sps\n",
    "\n",
    "k = 50\n",
    "n = 2 * k + 1\n",
    "\n",
    "E = sps.eye(n, format='lil')\n",
    "E[0, 0] = E[-1, -1] = 0.5\n",
    "E = E.tocsc()\n",
    "\n",
    "d0 = n * [-2 * (n - 1)**2]\n",
    "d1 = (n - 1) * [(n - 1)**2]\n",
    "A = sps.diags([d1, d0, d1], [-1, 0, 1], format='lil')\n",
    "A[0, 0] = A[-1, -1] = -n * (n - 1)\n",
    "A = A.tocsc()\n",
    "\n",
    "B = np.zeros((n, 2))\n",
    "B[:, 0] = 1\n",
    "B[0, 0] = B[-1, 0] = 0.5\n",
    "B[0, 1] = n - 1\n",
    "\n",
    "C = np.zeros((3, n))\n",
    "C[0, :n//3] = C[1, n//3:2*n//3] = C[2, 2*n//3:] = 1\n",
    "C /= C.sum(axis=1)[:, np.newaxis]\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "57b9ee02",
   "metadata": {},
   "source": [
    "and form the full-order model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "fa967b2a",
   "metadata": {},
   "outputs": [],
   "source": [
    "fom = LTIModel.from_matrices(A, B, C, E=E)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7abdbf17",
   "metadata": {},
   "source": [
    "## Balanced truncation\n",
    "\n",
    "As the name suggests,\n",
    "the balanced truncation method consists of\n",
    "finding a *balanced* realization of the full-order LTI system and\n",
    "*truncating* it to obtain a reduced-order model.\n",
    "\n",
    "The balancing part is based on the fact that a single LTI system has many\n",
    "realizations.\n",
    "For example, starting from a realization\n",
    "\n",
    "```{math}\n",
    "\\begin{align}\n",
    "    E \\dot{x}(t) & = A x(t) + B u(t), \\\\\n",
    "    y(t) & = C x(t) + D u(t),\n",
    "\\end{align}\n",
    "```\n",
    "\n",
    "another realization can be obtained by replacing {math}`x(t)` with\n",
    "{math}`T \\tilde{x}(t)` or by pre-multiplying the differential equation with an\n",
    "invertible matrix.\n",
    "In particular, there exist invertible transformation matrices\n",
    "{math}`T, S \\in \\mathbb{R}^{n \\times n}` such that the realization with\n",
    "{math}`\\tilde{E} = S^{\\operatorname{T}} E T = I`,\n",
    "{math}`\\tilde{A} = S^{\\operatorname{T}} A T`,\n",
    "{math}`\\tilde{B} = S^{\\operatorname{T}} B`,\n",
    "{math}`\\tilde{C} = C T`\n",
    "has Gramians {math}`\\tilde{P}` and {math}`\\tilde{Q}` satisfying\n",
    "{math}`\\tilde{P} = \\tilde{Q} = \\Sigma = \\operatorname{diag}(\\sigma_i)`,\n",
    "where {math}`\\sigma_i` are the Hankel singular values\n",
    "(see {doc}`tutorial_lti_systems` for more details).\n",
    "Such a realization is called balanced.\n",
    "\n",
    "The truncation part is based on the controllability and observability energies.\n",
    "The controllability energy {math}`E_c(x_0)` is the minimum energy (squared\n",
    "{math}`\\mathcal{L}_2` norm of the input) necessary to steer the system from the\n",
    "zero state to {math}`x_0`.\n",
    "The observability energy {math}`E_o(x_0)` is the energy of the output (squared\n",
    "{math}`\\mathcal{L}_2` norm of the output) for a system starting at the state\n",
    "{math}`x_0` and with zero input.\n",
    "It can be shown for the balanced realization\n",
    "(and same for any other realization)\n",
    "that,\n",
    "if {math}`\\tilde{P}` is invertible,\n",
    "then\n",
    "\n",
    "```{math}\n",
    "E_c(x_0) = x_0 \\tilde{P}^{-1} x_0, \\quad\n",
    "E_o(x_0) = x_0 \\tilde{Q} x_0.\n",
    "```\n",
    "\n",
    "Therefore, states corresponding to small Hankel singular values are more\n",
    "difficult to reach (they have a large controllability energy) and are difficult\n",
    "to observe (they produce a small observability energy).\n",
    "In this sense, it is then reasonable to truncate these states.\n",
    "This can be achieved by taking as basis matrices\n",
    "{math}`V, W \\in \\mathbb{R}^{n \\times r}` the first {math}`r` columns of\n",
    "{math}`T` and {math}`S`,\n",
    "possibly after orthonormalization,\n",
    "giving a reduced-order model\n",
    "\n",
    "```{math}\n",
    "\\begin{align}\n",
    "    \\hat{E} \\dot{\\hat{x}}(t)\n",
    "    & = \\hat{A} \\hat{x}(t) + \\hat{B} u(t), \\\\\n",
    "    \\hat{y}(t)\n",
    "    & = \\hat{C} \\hat{x}(t) + D u(t),\n",
    "\\end{align}\n",
    "```\n",
    "\n",
    "with\n",
    "{math}`\\hat{E} = W^{\\operatorname{T}} E V`,\n",
    "{math}`\\hat{A} = W^{\\operatorname{T}} A V`,\n",
    "{math}`\\hat{B} = W^{\\operatorname{T}} B`,\n",
    "{math}`\\hat{C} = C V`.\n",
    "\n",
    "It is known that the reduced-order model is asymptotically stable if\n",
    "{math}`\\sigma_r > \\sigma_{r + 1}`.\n",
    "Furthermore, it satisfies the {math}`\\mathcal{H}_\\infty` error bound\n",
    "\n",
    "```{math}\n",
    "\\lVert H - \\hat{H} \\rVert_{\\mathcal{H}_\\infty}\n",
    "\\leqslant 2 \\sum_{i = r + 1}^n \\sigma_i.\n",
    "```\n",
    "\n",
    "Note that any reduced-order model (not only from balanced truncation) satisfies\n",
    "the lower bound\n",
    "\n",
    "```{math}\n",
    "\\lVert H - \\hat{H} \\rVert_{\\mathcal{H}_\\infty}\n",
    "\\geqslant \\sigma_{r + 1}.\n",
    "```\n",
    "\n",
    "## Balanced truncation in pyMOR\n",
    "\n",
    "To run balanced truncation in pyMOR, we first need the reductor object"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "ffb30e78",
   "metadata": {},
   "outputs": [],
   "source": [
    "bt = BTReductor(fom)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "30aad704",
   "metadata": {},
   "source": [
    "Calling its `reduce` method runs the\n",
    "balanced truncation algorithm. This reductor additionally has an `error_bounds`\n",
    "method which can compute the a priori {math}`\\mathcal{H}_\\infty` error bounds\n",
    "based on the Hankel singular values:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "0275cf13",
   "metadata": {},
   "outputs": [
    {
     "data": {
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IiKSLgppk6VUGvQ7E5+o4zreMip17OenXr/HY3HWZLpmIiEiHoKAmiXYe4I2rGeP7AICAgxunL2Zj1a5MFktERKRDUFCTROv2Ox6Ak4NBDUC9c6ypUDeUiIhIqimoSaL9Dj+NWpdHmW8zB5g3Uz3PjMHFydtAU0REROJTUJNE/fv25bPewwEY41sEwE++dAgl/sJMFktERKRDUFCTZH1HnAnAGV2WAFDaUwGNiIhIOiioSbbg1O5jAwvZny3MW/NZhgskIiLSMSioSbZNXrdTJ7eb2Z2/T6+PHs1wgURERDoGBTXJVLUenv1++NBnju/suJtdFWszWCgREZGOQUFNMlWuBBeISsq3ACs/WpShAomIiHQcCmqSqVc5WHSV1jkf71b1zEx5REREOhAFNcnkL4Wz7wLLCyfdXjeR2Zs7ZbBQIiIiHYOCmmQbORmuXQT7lQGwzvVj/trPCARchgsmIiKS2xTUpIK/FMq8faCOzl9N9e46VmzZkeFCiYiI5DYFNalSOhKA47t4M5/eW6v1akRERFJJQU2qDPCCmoPrV2AEmLe2MsMFEhERyW35mS5Azup7GOR3oXPdTspsE++t7Z7pEomIiOQ0tdSkSl4B9D8SgOG+VazdVsPW7XsyXCgREZHcpaAmlYLjasZ0+wTQuBoREZFUUlCTSsFxNSPzVwMwY+F6NlbtymSJREREcpaCmlQKttQM2LWcfOr4z6JNnHjbqzw2d12GCyYiIpJ7FNSkUq9yAp16UOD2MsQ+BSDg4Mbpi9ViIyIikmQKalLJ56O611AAjvStCifXO8eaippMlUpERCQnKahJsfz9jwbgSFsZTvMZDC7umqkiiYiI5CQFNSnW/cDRgDetO+SrowZS4i/MVJFERERykoKaVCv1WmoOz/uUiSOKAVi6sTqTJRIREclJCmpSragUuvXFXD3XH1VLpzwfCz75XGvWiIiIJJmCmlQzC0/t3u+zxZwzYgAA97+1OpOlEhERyTkKatIhuAgfy5/n8uFdAHhh8SbWf65p3SIiIsmioCYddgW7mlbNYsgjx3Fj/7nUBxz3vPYxb6+s0Jo1IiIiSaCgJtWq1sO7f204dgEuq7qL/mxj2px1TLp3jlYZFhERSQIFNalWuRJcICrJXIDBvs3hY60yLCIisu8U1KRar3Kw6Gp25mNNoF9UmlYZFhER2TcKalLNXwpn3wWWF07acczVbLHeUdnytMqwiIjIPlFQkw4jJ8O1i+DAsQD0cNuZMmEYPmvIcpFWGRYREdknCmrSxV8KJ37Pe774SSaO6Mtb15/GhUfvD8CLSzZRuXNvBgsoIiKS3RTUpFPZGG+F4d1VsPx5SvyF/Or8YRzavweVO/dyw5MfaIq3iIhIGymoSSdfHhw50Xu+4BEAOuX7+PVXjsSAF5du1hRvERGRNlJQk24jJnlfP34ZtnvTuvsWdY7KoineIiIiraegJt2KD4b9R4Grh0WPA7C6YicuJpumeIuIiLSOgppMGH6x9/W9qbDqdco7V0XNhALwaYq3iIhIqyioyYShE8DyYdsKeOgc+t13DI8es4I8a4hsenbtRM/CThkspIiISHbJuqDGzLqa2Voz+22my9Jme2vA1TUcuwCjF9/C21cdwv2XHEPfHp2p3LmX3730UebKKCIikmWyLqgBfgr8N9OF2CeVKxunuXr61W7gtMP68euvHAnA/W+tZubSTZrmLSIikoD8TBegNczsYOBQYAYwNMPFabvQflCRG11aHvQ6EICxh/bl/KNKeer99Vz20HuAN8ZmyoRhTBw1MBMlFhERafeS1lJjZmPMbIaZbTAzZ2bnxclzlZmtMbPdZjbHzEa38mV+C9yQlAJnUpz9oBh8kpce9O0xB0ZdomneIiIizUtm91M3YCFwVbyTZjYRuAP4BTAymPdFM+sbkWeBmS2O8xhgZucCy51zy5NY5swJ7Qf1hVu849Wz4ZN3w6craxpvmaBp3iIiIk1LWveTc+554HkAM4uX5QfAvc65B4J5rgDOAi4FbgveY0RT9zez44CvmtmFQHegwMyqnXO3NJG/MxC5ql0PgNraWmpra1v13iKFrt2Xe4R17QvHfoe8LUvxffAobvrl1H/x17g+h7K/vxc+81poQnwGpf5OyXntLJDUupYWqb7TR3WdPqrr9ElVXbfmfuZc7LJv+87MHHC+c+7p4HEnoAa4IJQWTJ8K9HTOndvK+38dGOqc+1EzeW4Gfh6bPm3aNLp2bV/rvxTU7WDckh9QENgNgMNYMPBSHqs7lcdW+XAY4LioLMCJ/ZP//RIREWmvampqmDRpEoDfOVfdXN50DRQuBvKAzTHpm/EG/qbCFLzurpAewKfjx4+nqKiozTetra1l5syZjBs3joKCgn0to6d6A/mL9oQPDceITx5k6He/x7dq/Uz4yxyqd9cx+ugRnDm8JDmvmQVSUtfSJNV3+qiu00d1nT6pquvq6mbjmChZNfspxDn3YAJ59gDhSCHUJVZQUJCUyk7WfQCoXgsxGyWYq6egeh0HlZ3MZScfyO9mLue+t9bylaMPaKp7L2clta6lRarv9FFdp4/qOn2SXdetuVe61qmpAOqBfjHp/YBNaSpD+xWa4h2rs9ei9D/HDaKwII9lG6t58+OKNBdOREQkO6QlqHHO7QXeA04PpZmZL3j8TjrK0K7Fm+INMOMaqFjBflv+y2XDvTHPf5u9KgMFFBERaf+S1v1kZt2BgyKSysxsBFDpnFuHN75lqpnNA94FrsWbBv5AssqQ1UZOhvLToXIV+PLgsf+BjQvg7mMA+L752JL/LR5dcSrT5qxl7KF9KfEXZrbMIiIi7Ugyx9QcA7wWcRwapDsV+Lpz7jEz6wPcAvQHFgBnOOdiBw93XP7ShgX4zvkjPDopfMpcgF/l/51ZdcO48anFWmFYREQkRjLXqZkFNDuC1Tl3N3B3sl4zp3Xu0SgpjwCDfZvZFOgdXmF4zJA+arEREREhOze07BjiDB6ucz7WBBrGWmuFYRERkQYKatqr0ODhYOOXA26q+yab6B3OYsDg4va1kKCIiEimKKhpz0ZOhkueAcDwcdyXJpEXuUaNwYbPd2eocCIiIu2Lgpr2rmwMlB4DBDgv7x3evH4sj1x2HOMP74dz8P3HFrBjT12mSykiIpJxCmqywYjgLKj3/0lJUReOL+/Nby4cTmnPQtZV1nDdEwt5e2UFG6t2ZbacIiIiGaSgJhsMnQB5nWHLEtj0AQD+wgLuuGg4AP9ZtIlJ987hxNte5bG56zJZUhERkYxRUJMNCveDQ8/yni+YFk4e2Ltr1Bz60DRvtdiIiEhHpKAmW4z4mvf1g8ehbi8Aqyt2xmyDqWneIiLScSmoyRblY6FHCeyqhDd/D1XrKSvuhi9muUMzTfMWEZGOSUFNtvDlQb8jvOezboU7h1Ky8l9MmTAsapp3gc+oq49tvxEREcl9CmqyRdV6WPlqw7ELwIxrmTgkjzevH8s/v3Usw/f3s7fecfUj7/PWCs2GEhGRjkVBTbaoXOkFMpFcPVSuosRfyIkHFfPHi0fSKc9Y8MnnfO0+zYYSEZGORUFNtoizFxQY9DowfFSQb9RGdD1pNpSIiHQkCmqyRWgvKMtrSDODHZvCh5oNJSIiHZmCmmwycjJcuwgumQEHj/e6o574Jmz9CFbPprxzVaPZUD7NhhIRkQ4iP9MFkFbyl3qP/sPgLyfDZ6vhntEA9DMfjx7zcy6eN4R657XZDOrVjf5FXTJZYhERkbRQS022KtwPzpgSneYCjF58C29fdQj3TDqKTnnG6m07efXDLZkpo4iISBopqMlmXfyN01w9/Wo3cNaRA7j0JG8Q8a9f+JD6gNauERGR3KagJpvFmxFlvvCMqCtPKaeoSz7LN+9g+vxPM1BAERGR9FFQk83izYjqURJuwfF3LeCqsQcB8NsXP2LWR1s0vVtERHKWgppsF5oR9ZX7obAXVK+HR78GK2dB1XouOWEw/sJ8Nm/fw9cfmKsF+UREJGdp9lMu8JfCsK9Az4Fw/xmwepb3MB+7v/Bbqnf1D2cNLcg3ZkgfSvyFGSuyiIhIsqmlJpcUDfC2TghxAfwv/4h+bIvKpgX5REQkFymoySWVKyFmTWFzAcp8m6PTtCCfiIjkIAU1uaSJ2VAXn3EKedaw1HCez9i1tx4REZFcoqAml8SbDdXnUM4ZM5o3rx/LtG8dyzGDe1JX77j6kfd5Y8VWzYYSEZGcoaAm14RmQ024FzDYshQ2LaLEX8gJBxXzh6+OpHO+jyUbqvnf+97VbCgREckZCmpykb8UjrwIhk7wjt+8M3zKDPbWBcLHodlQarEREZFsp6Aml514rfd1yXSoXA3A6oqdxG6YoNlQIiKSCxTU5LKSI+GgL4ALwNt/BKCsuBs+a5y1RxctWSQiItlNQU2uO+n73tf5D8PSZyihkikThkXNhgK47skPWLF5O2+vrFBXlIiIZCX9eZ7rBp0IPQfB52vh8f8F8zHx7LsYc/2FrKmoIc8HV/5jPks2VDPu97MB8BlMmTCMiaMGZrjwIiIiiVNLTa6r3gCfR8xucgGYcS0lVHJ8eW9Gl/XmtxcOj7pEg4dFRCQbKajJdXFWGcbVQ+Wq8GHngsYfAw0eFhGRbKOgJtc1scowvQ4MH8YbPOzTVgoiIpJlFNTkunirDPcf5qUHlfgLmTJhWFRgM+7wftrFW0REsoqCmo4gtMrwOfcABhsXwifvRmWZOGogb11/GleNLQfgjRUVbKranYHCioiItI2Cmo7CXwoj/weO+h/v+KWbwEWPtSnxF/Kj8YcwcmBPavbW8+sXPsxAQUVERNpGQU1HM/ankF8In8yB138NVeujTpsZN59zBGbw1PvreWnJJq1dIyIiWUFBTUdTVAJlY7zns6bAnUNh/kNRWY7cvycXHr0/AJc//B6T7p2jjS9FRKTdU1DT0VSth49nNhy7AMz4npdetR5Wz4aq9Uw+fnDUZVq7RkRE2jutKNzRVK70AplILgAPnw/bVnjPzUeXY38FDIrKFlq7RrOiRESkPVJLTUcTb90agIqPGoIdF6B8zk0MsG1RWfLMtHaNiIi0WwpqOprYdWssD46c2CibuXp+eUo3Itfku3XCULXSiIhIu5U13U9mdgjwWETSIcDFzrmnM1OiLDZyMpSf7m2VEFpZeNG/orulzMdpxx/HU4d3ZcKf3ybg4IgB/syUV0REJAFZ01LjnPvIOTfCOTcCOAnYCcxs/ippkr8Uyk72vsZbdbh4CBQNYMTA/Th7+AAA/v7GqiZuJiIiknlZE9TEOAd4xTm3M9MFyRmhVYfP+wvkdYatH8LcvwPwrZO81pxnP9io2U8iItJuJS2oMbMxZjbDzDaYmTOz8+LkucrM1pjZbjObY2aj2/hyFxHdFSXJ4C+FERfD+P/zjl/6Gax5k2G1C/nSwHrqAo4H316T0SKKiIg0JZljaroBC4H7gemxJ81sInAHcAUwB7gWeNHMDnHObQnmWdBEmcY75zYE8xQBJwBfTWLZJdKoy+Cj52DVLHjwLAD+hI/r8r7JP/6bx7FlvTispEiDhkVEpF1JWlDjnHseeB68pfbj+AFwr3PugWCeK4CzgEuB24L3GJHAS50LvOSca3a3RTPrDHSOSOoBUFtbS21tbQIvE1/o2n25R1Y45UbyV80Kz34yAkwpuI/Zu4/k0gfn4TP45bmHh1ceToUOU9fthOo7fVTX6aO6Tp9U1XVr7mcuZlPDZDAzB5wfmplkZp2AGuCCyNlKZjYV6OmcO7cV954B/M05N6OFfDcDP49NnzZtGl27aq2VlhRvX8qJH9/WKP2re2/iv4HDATAcN4+sp2fnRtlERESSoqamhkmTJgH4nXPVzeVN15TuYiAP2ByTvhk4NNGbmJkfGA18JYHsU/C6u0J6AJ+OHz+eoqKiRF+ykdraWmbOnMm4ceMoKCho833aveoRuLtvxyKmedc5H2sC/cLHDqN8xHEcW9YrJUXoMHXdTqi+00d1nT6q6/RJVV1XVzcbx0TJmnVqAJxzVUC/FjN6efcAe0LHoS6xgoKCpFR2su7TbvUe5E3zfuYawOEwbqr7JpvoHc7iMyjvV5Tyesj5um5nVN/po7pOH9V1+iS7rltzr3RN6a4A6mkckPQDNqWpDNJaIyd7gQ1g3fow8tyryIsYL1WQ56OuPvndlyIiIm2RlqDGObcXeA84PZRmZr7g8TvpKIO00fCvQhc/7NzCRcXrePP6sfzjm6M5YkARe+oCXDVtPmu37eTtlRVaw0ZERDIqad1PZtYdOCgiqczMRgCVzrl1eONbpprZPOBdvCnd3YAHklUGSYH8znD4eTB/Kix6nJJzT6HEX8jf+nTnrD+8wQefVnHqb2bh8LqjpkwYxsRRAzNdahER6YCS2VJzDPB+8AFeEPM+cAuAc+4x4EfB4wXACOAM51zs4GFpb468yPu69Bmo9WbSl/Ys5KazDgMg1AEVcHDj9MVqsRERkYxIWlDjnJvlnLM4j69H5LnbOTfIOdfZOXesc25Osl5fUmjgCVC0P+yphhUvhpMH9Gy8+F69c6ypqEln6URERIDs3ftJ0snng2HBWfQfPB5OLivuhi9mncU8MwYXax0gERFJPwU1kphhwS6oFS/Brs8AKPEXMmXCsKjA5mvHDdT2CSIikhEKaiQx/YdC38Ohfi/M/i1UrQdg4qiBvHX9aZw9vASAFxZvomqXliMXEZH0U1Ajietd7n195264cyjMfwjwWmx+c8Fwyoq7sWX7Hm56apGmeIuISNopqJHEVK2HD//TcOwCMOPacItNl4I8fv2VIwGY8cFGJt07hxNve5XH5q7LQGFFRKQjUlAjialc6QUykVw9VK4KHx7QK3osjaZ4i4hIOimokcT0KgeL83Hp1D38dHXFzkanNcVbRETSRUGNJMZf6u0DZXnR6TOuga3LYfVsyjtXNZri7TM0xVtERNIiq3bplgwbORnKT/e6nHwF8NjXYNMHcM8oAPqZj0eP+TkXzzuY0D6XJx9UrCneIiKSFmqpkdbxl0LZyTDoODj37uhzLsDoxbfw9lWHct0XDwHgv6srNaZGRETSQkGNtF2nbo3TXD39ajdwxanljB7ciz11Ae56eUX6yyYiIh2Oghppu3iDh80HvQ7EzPjJGV5rzePzPuHjLTsyUEAREelIFNRI28UbPNytD3TxA3DM4F584bC+BBz86rmlWpBPRERSSkGN7JuRk+HaRXDRP6BrH9ixGZ66HFa9DlXr+VFwbM1rH27VgnwiIpJSmv0k+85f6j269YYHzvRWHv7wP2A++n/ht0D/cNbQgnxjhvTRrCgREUkqtdRI8vQcFH3sAvhf/hH92RaVrAX5REQkFRTUSPJUrgRcVJK5AGW+zdFpWpBPRERSQEGNJE/c2VB5XHzGKeRZw1LD+T6jaldtmgsnIiK5TkGNJE+82VBHnM85Y0bz5vVj+ee3jmX04P2orXd888G5zFy6WbOhREQkaRTUSHKFZkMde4V3vHEBBAKU+As58aBi/vK/x9CzsID1n+/msofmaTaUiIgkjYIaST5/KZz2M+hcBNs+hpWvhk/tqaunandD11NoNpRabEREZF8pqJHU6NwdRnzNe/7uX8PJqyt24qLHEms2lIiIJIWCGkmd0ZcBBitegm0rASgr7obPGmetrQukt2wiIpJzFNRI6vQuh4PHec/fvReAEn8hUyYMi5oNBXDDU4tYuqFKWymIiEibaUVhSa3R3/Zaat5/GMpPhX7DmDhqIGOG9GFNRQ29uhVw+cPvsXZbDWf+4U0AfAZTJgxjwoiSzJZdRESyilpqJLXKT4NufWHvDpg2Ee4cCvMfosRfyPHlvTmkfxFTzh8WdUnD4OHdGSq0iIhkIwU1klrbN8LOrQ3HLgAzroWq9Q1pccbY1DvHukoNHhYRkcQpqJHUirN1Aq4eKleFD+MNHvYZDOylrRRERCRxCmokteJtnYBBrwPDR6HBw5GBzeiyXpT4u6SnjCIikhMU1Ehqxds6AQfbVkRlmzhqIG9dfxo/PfMwAP67qpI5qyvTWFAREcl2Cmok9UJbJ1zyLBxxvpf2r2/AkqejxtaU+Au5bMyBXDz6AAB+Mn0xSz8zDRgWEZGEKKiR9PCXQtnJcO6foEcJ7KqEf10Sng0V6YYzD8NfmM+Gz3fz1w/zOPV3s7U/lIiItEhBjaTXrs9gx+aG4zizoXbuqaN6d134WPtDiYhIIhTUSHpVrvQCmUiuHrZ+GD7U/lAiItIWWlFY0is0Gyo2sJl9O/QcCNs3Ut65FJ95LTSR9tbVp6+cIiKSddRSI+kVOxvKfJDXCdb9F+4+BqaeTb/7juHRY1Y0Wrvm+48v5J2VFdofSkRE4lJLjaTfyMlQfrq3AF+vA2HjQnj04obzLsDoxbfwxrff4ZHZH3HW6Sfx4+lLWLy+movvnQM07A81cdTADL0JERFpb9RSI5kRmg3lL4XO3Rufd/X0q9vAwX7HQX178JsLhked1uBhERGJpaBGMi/eqsOWh9uvYdXhz2r2NrpMg4dFRCSSghrJvPA4m4iP4+jLoWhA+LCp/aEGF2t/KBER8SiokfZh5GS4djEcfp53/OlcIud1h/aHyrOGyKZzQR4+i7PFt4iIdEgKaqT98JfCmb+B/EJYPw9b9VrU6YmjBvLm9WN5+NLRHNK/O7v21vPjJz5gw+c1mhElIiIKaqSd6d4XRn0TAN8btxO7Cl+Jv5CTh/Thnkkj6ZzvY/byrZx422tMuncOJ972qrZTEBHpwBTUSPtzwjWQX4hv/TzKtzwH1RsaZTmobw++c2o5AKGwRzOiREQ6tnYZ1JjZU2b2mZk9Eefcl83sIzNbYWbfykT5JMV69IOBxwEwdMNj5N89otGmlwDHDOrVKE0zokREOq52GdQAdwGTYxPNLB+4AzgNOAr4sZn1TnPZJNWq1sPq18OHFmfTS4AD+zaeEZVnphlRIiIdVLsMapxzs4DtcU6NBpY459Y753YAzwPj01k2SYOmNr38eGYw4JkNVevDM6Ii45qfnnUYJf7CtBZXRETah1YHNWY2xsxmmNkGM3Nmdl6cPFeZ2Roz221mc8xsdFJKCwOAyD/X1wOlSbq3tBfxFuMDr7Xm90fA1LPhzqEw/yEmjhrI6z85lQP28wKZ5ZvjxcIiItIRtKWlphuwELgq3kkzm4jXRfQLYGQw74tm1jcizwIzWxznMSDePaWDCS7G54KbXjrzQb8j8IYEB4cFR3RJDezVjTsmjgDg0bmf8N7aykyUWkREMqzVG1o6557H6/bB4i989gPgXufcA8E8VwBnAZcCtwXvMaJtxWUD0S0zpcC78TKaWWegc0RSD4Da2lpqa2vb+PKEr92Xe0gChl1MXekJvDfzCY4edwEF1evI/+f50XlcPXVbl+O69mVEaQ++MnIAT87fwE/+tZCfnXUoB/bpTom/S2bKn4X02U4f1XX6qK7TJ1V13Zr7mYtZB6Q1zMwB5zvnng4edwJqgAtCacH0qUBP59y5rbj3qcB3nXMXRKTlA8uAU4Eq4D3gBOfctjjX3wz8PDZ92rRpdO2qgaTZpsveSsYv+T5Gw+fVYbx0xO/Z3cmbBbWjFn4xP4+9AS/YNhwTDwxwfL+2f8ZFRCSzampqmDRpEoDfOVfdXN5Wt9S0oBjIAzbHpG8GDk30Jmb2MjAc6GZmnwIXOufecc7VmdkPgdfwus5ujxfQBE3B6wYL6QF8On78eIqKihItSiO1tbXMnDmTcePGUVBQ0Ob7SMti67p+MOQ990PM1YfznD78AFzZKQBsrNpN7bzZ4XMO4/HVeXxnwhi12CRAn+30UV2nj+o6fVJV19XVzcYxUZId1CSFc+4LzZx7BngmgXvsAfaEjkNdZQUFBUmp7GTdR1oWrutR34Ah46FyFcy7H1synfynL4eLH4O6XWzZvh+xbTIBB+ur9jKwuEdGyp6N9NlOH9V1+qiu0yfZdd2aeyU7qKkA6oF+Men9gE1Jfi3piPyl3mP/UV5ws3EB3OfFwEebj6/mfZNH68eGsxswqLemeIuIdARJXafGObcXb5zL6aE0M/MFj99J5mtJB1fQBb50e1SSuQC3drqPUmuY/eSAV5ZtSXPhREQkE1rdUmNm3YGDIpLKzGwEUOmcW4c3jmWqmc3Dm5l0Ld408Af2ubQiker3NEryuQDPfK2E5YVH8dbHW7n7tZXc8uxS+vu70K1zPmXF3bQ4n4hIjmpL99MxeAN1Q0KDcacCX3fOPWZmfYBbgP7AAuAM51zs4GGRfRNapC9y9WHLo/cBh3G8vzfHHdiLj7fs5IUlm7jsofcA8BlMmTCMiaMGZqjQIiKSKq3ufnLOzXLOWZzH1yPy3O2cG+Sc6+ycO9Y5NyeppRaB8CJ9UasPn/YzLx1vcPgPxw+JukQ7eYuI5K52ufeTSMJGToZrF0PJcO9424qo01t3NO6i0k7eIiK5SUGNZD9/KZz1e+/5wkdg60fhU2XFjXfy9hnayVtEJAcpqJHcsP/RcOiXvfE1r/0qnBzayTsysCkr7ka/HlqMT0Qk1yiokdwx9qeAwdJ/w7z7ocrb0H3iqIG8df1p/P6i4XTJ97Fy607ufu1j3l5ZobE1IiI5pF2uKCzSJv0Oh9KjYf08ePb73gDis++CkZMp8Rdy/sj92b6njv/37yXcMXM5oNlQIiK5RC01kjuq1sOG+Q3HLgAzrg232ACcfmjfqEs0G0pEJHcoqJHcUbkyes0aAFfvbacQtLay8awnzYYSEckNCmokd4QW44tV07BtQrzZUNofSkQkNyiokdwRXowvL5gQjF5mXA2rXofVsymhkikThpFnDZGNAx58ey0bPq/R4GERkSymgcKSW0ZOhvLTvS6nogHw9JXwyRx46BzvvPmYePZdjLn+QtZU1PDBJ58z5YUP+dvsVdw7exUODR4WEclWaqmR3OMvhbKToXc5fPn30eeCg4dLqOT48t58+9Ryvnf6wd6pYBYNHhYRyU4KaiS31WxrnBYzePjYA3s1yqLBwyIi2UdBjeS2eIOHLQ96HRg+1FYKIiK5QUGN5LZ4O3mP+lZ4J2+Iv5VCcffOdO+sIWciItlEQY3kvtBO3kO/4h2vfQsC0evZhLZS+PPXRlLcvRNbtu/hyn/M560Vmg0lIpItFNRIx+AvhTN/C52LYPNiWDK9UZYSfyFfGlbC3y8ZRZ7PePPjCr523xxOvO1VHpu7LgOFFhGR1lBQIx1H115wwjXe81d+AStfjdpCIaRfUWcCARc+1mwoEZHsoKBGOpbjroRO3eHzdfDw+XDnUJj/UFSW1RU7cTGXaTaUiEj7p6BGOpbdVbB3Z8NxnE0v482GApi7ppKNVbu06rCISDuloEY6lsqVENsOE7NuTWg2VGgrhVB8c8fM5Zww5VUm3atxNiIi7ZHmrErHElq3JnY375ptXmtN5UroVc7EUQMZM6QPaypqGNS7kL++voqp76xttOrwmCF9KPFrM0wRkfZAQY10LKF1a2Zc67XQhDxxaTDQcV7Qc/ZdlIycHA5YvnhEf6a+szbqVqFxNgpqRETaB3U/ScczcjJcuwgueRaung+HfCkY4ATbYeKNs+nTeJxNnplWHRYRaUcU1EjHFLnp5bFXNj7fxDibyMDm26ccqFYaEZF2REGNSO+DWtwfChpWHT5lSDHgzYZyLnbyt4iIZIqCGpF4+0MdckbU/lAhJf5CbvvKkXQp8DF3zWe8tHRzGgsqIiLNUVAjAg37Q538I+94xUzY+lHcrCX+Qr55UhkAv37+Q2rrA3HziYhIeimoEQnxl8JpN8HB46F+Lzx5OaycFXcrhW+fUk6vbp1YVbGTW59bpsX4RETaAQU1IpHM4Mu/h7zOsGkBPHxu9FYKVeth9WyK9mzhpIO8sTUPvLVGi/GJiLQDWqdGpBHzWmpCXABmXAObl8C7fwMXwJmPrnu/CYwFtBifiEh7oJYakVhxt1JwMOcv4ZWIzQX4Zf599GdbOIs2vRQRySwFNSKxQlsptCDfAgz2Rc9+6tYpL1WlEhGRFiioEYkVnuIdDFAsD8bd0ijQCZiPT1z/qLRbn19GfUBr14iIZILG1IjEM3IylJ/urSrc60Av0CncD2Z8L9wF5Tv95zwx7ALWVNTgM/jGg3P576pKbn9hGacc0pey4m4aXyMikkZqqRFpSmgrhdAifKG1bPoP9463b6TEX8jx5b059sDe3HLuUAD+Ons1k+6doxlRIiJppqBGpDX8pTDuZu/5/IegpjJ86oTyXlFZQzOitIaNiEh6KKgRaa0Dx0L/I6G2xpviHbRmW+OZT5oRJSKSPgpqRFrLDE661ns+56+wdycAZcXdonbxDuneRTOiRETSQUGNSFscdi7sNxh2VcLLN0PVekr8hUyZMIw8i45sfvj4QpZuqOLtlRXqihIRSSHNfhJpi7x82H80fLbG64Ka+3c4+y4mjprMmCF9WFNRQ34efHfa+yzfvIMz//AmAD6DKROGMXHUwMyWX0QkB6mlRqQtqtbD4icajl0AZlwbbrE5vrw3owb35q6vHhV1mQYPi4ikjoIakbaoXBlerybM1Xvr2kQIuMYL8WnwsIhIaiioEWmLuFspmLdQX4R4g4d9BoOLu6a2fCIiHZCCGpG2iN1KASCvwJsZFSHe4OGunfLJizdNSkRE9km7DGrM7Ckz+8zMnohJ72lm88xsgZktNrPLMlVGEW+F4UVwyQwoOQrq98IrtzTKNnHUQN68fixTvzGKA4u7sWNPHVc8/B5vrtBsKBGRZGqXQQ1wFzA5Tvp2YIxzbgRwLHCjmfVOZ8FEovhLoWwMfPl33vHCR2D9/EbZSvyFnHJIX/42+Rg65Rnz133O/9ynrRRERJKpXQY1zrlZeAFMbHq9cy40wrIzYMGHSGaVHg1HftV7/p8fwqrXvRlSMbp1zqO2vmHwsDcbapFabEREkqDVQY2ZjTGzGWa2wcycmZ0XJ89VZrbGzHab2RwzG52U0hLugloIfAr8xjlXkax7i+yT0/8f+Apgw3x46By4c6i3P1SE1RU7iZ0PVe9g2cbtbKzapQX6RET2QVsW3+sGLATuB6bHnjSzicAdwBXAHOBa4EUzO8Q5tyWYZ0ETrz3eObehuRd3zn0ODDezfsB0M3vCObe5De9DJPkCdQ3PQ2vXlJ8e3uk7NBsqEBPZXPfEQrbt3EvAaYE+EZG2anVQ45x7HngewCxuz88PgHudcw8E81wBnAVcCtwWvMeIthU3qhybgy02JwNPxJ43s854XVQhPQBqa2upra1t8+uGrt2Xe0hisq2ubctH5Me2w7h66jYtxtXVYZUrKe5Vzi/PPZyb/r00HMB0KfCxdcfe8CUBBzdMX8TxZftR4u+StvJnW31nM9V1+qiu0ydVdd2a+5mLszhYwhebOeB859zTweNOQA1wQSgtmD4V6OmcO7cV9z4V+K5z7oKItH5AjXNuu5n5gbeAi51zi+JcfzPw89j0adOm0bWr1giR5Ouyt5LxS76PxQQ2u/OL6Fy3HcPhMBYMvJQPup/C1t1Gny6OVduNqSsab3r53cPrOdjf9v+fIiK5oKamhkmTJgH4nXPVzeVN9t5PxUAeENsdtBk4NNGbmNnLwHCgm5l9ClzonHsHGAT8zbwmIgP+GC+gCZqC1w0W0gP4dPz48RQVFSValEZqa2uZOXMm48aNo6CgoM33kZZlY13XD4a8536IuXqc+SC/C11qG/4PGo4RnzzI0O9+D4oGALCxajcP/252VJeUz+CiM8emvaUm2+o7W6mu00d1nT6pquvq6mbjmCjtckNL59wXmkh/FxiR4D32AHtCx6GusoKCgqRUdrLuIy3Lqroe9Q0YMh4qV2G9DvQGDT/2P1FZzNVTUL0Oeg8CYGBxAVMmDOOG6YvCgU15n+4M2K8b+Xnpn6CYVfWd5VTX6aO6Tp9k13Vr7pXsoKYCqAf6xaT3AzYl+bVE2id/aXhgMOBtpxC5T5TlNdpOYeKogYwZ0odZH23hFzOWsmLLDn78xEIuPPoAyvp0o8RfmKbCi4hkr6T+Geic2wu8B5weSjMzX/D4nWS+lkhWCG2nELmc0pm/jQ56gkr8hVw8ehB/CO7s/dT7G5j0dy3QJyKSqLasU9PdzEaY2YhgUlnwODT/9A7gMjO7xMwOA/6MNw38gaSUWCTbjJwMV78HXfYLJjQ/+HfY/v6oFSW1QJ+ISGLa0lJzDPB+8AFeEPM+cAuAc+4x4EfB4wV4Y2DO0Foy0qH1LoexN3jP3/gd1O5uMmtTC/Qt36QF+kREmtOWdWpm0cLWBM65u4G721gmkdw08hJ4806oXu+tNHzs5XGzNbVA34+f+ICKHXu0QJ+ISBPa5d5PIjmpoAuM+aH3/PXbYcXMuPtDlfgLmTJhGHnBGXs+g66dfGzZvicc6HhdUovVYiMiEqFdTukWyVlHTYZXfwk1W+GfF3gzo86+yxt3EyE0G2pNRQ2Di7syb81nXP3I+1F56p1jTUWNZkaJiAQpqBFJp51bYdfnDccuADO+BweO9QKcypXQqxz8pZT4C8MByzGDadQl5TMYXKzVsUVEQhTUiKRT5UoazX5yAbh7NNTt8s7Fab0JdUlFLtBXkOdj8foqVlfspKxYa9mIiCioEUmnXuWNF+MDqKtpeB5nd29o6JJavmk7d72ygvnrPueyh94DNHBYRAQ0UFgkvUKL8VlwA0vLg2O/0zifq4fKVY2SS/yFnHJIX35zwfCodA0cFhFRS41I+o2c7LXCVK5q2C7h3b+0uJVCpM3bG69zo4HDItLRqaVGJBP8pVB2csM+UZGtNwDlp8XdSiEktJZNrDUVO7RAn4h0WGqpEWkPQq03C6bBa7+E1bOhcjX0KoubPTRw+Mbpi6l3DQOPb3xqMeANRdY4GxHpaNRSI9Je+EthzI/gwFOhfg889yMvuImzQB94A4ffvH4sj1x2HG9eN5ZzhpfgaJhbpXE2ItLRKKgRaU/M4ItTAIOPX4apZ8OdQ71tFeIo8RdyfHlv9t+vK1+N0yITGmcjItIRKKgRaW+6+KOPQ1O8q9Z7jyZab8r6xB9ns7uuTmNsRKRD0JgakfYm7gJ99fDKLbDocS/IaWaBvthxNt94YB6gMTYikvsU1Ii0N00t0PfBow3PW1igb01FDZ/X7OHKfzbsF+WNsVnEmCF9NO1bRHKSup9E2ptGC/T5oHhI43zNLNB3fHlv/F07NTpX72D28q2a9i0iOUktNSLtUbwF+u4cGrNAn6/ZBfpCa9kEYnqyrn9yEaBp3yKSe9RSI9JetbRA336DoVtxk5eHxtjkmTd62GcwpF93TfsWkZyllhqRbBFqvVn9Ojz3E68V58nLYNQ3ofdBcVcgjhxjM7i4K6srdjLp3jlReULTvosHFqXrnYiIpISCGpFs4i+FEZOgR394eAIs+7f3iDMbKqTEXxg1MDhel9S/5n1Cn+5lrKgyNlbtZmBxQarfiYhI0qn7SSQbFR8SfRy5lk0zYrukQsvaTH9/PV/4/ZvcvTSPU383m8fmrkt+mUVEUkwtNSLZqKm1bCpXNbsRJjTuknr742388F8Lw+cDDm6YvohD+/dg5956yoq7aQq4iGQFBTUi2aiptWx2ViR0eWSXVEnPLo3OBxyce8/bQPQMqY1Vu1hdsVOBjoi0SwpqRLJRaDbUjGu9FhoMcPDMd6GgEDp19QKfFlptoOmp3yEB500DX7ethj+/vpKA01RwEWmfFNSIZKvItWyKSuHZ73n7Qj0y0TvfzODhSKFxNjdMX0TAhcOjKA64Z9bK8HFoKni8Liq15ohIpiioEclmoTVsAM78LdwzuuFcE1spxDNx1ECOL9uPx597jVNPPoGL/janyZabkHrnGnVRAeHgKJQ2ZkgfBTkikhYKakRyxY7NjdMSHDwMUOLvwsF+x/D9/VEbY+aZ8ZMzDuHXL3zYbBfVdcGViiPTrn9yERg41/zYnHitO2rxEZHWUlAjkiviDh62ZrdSaErsDKkSfyE9uxaEA514XVTxuPA/DYHPo3PXsWBdFQ4wg3GH9eXlZVuiWnegcYuPgiERaYmCGpFc0WjwMICDxU/AgKMSHjgcErtoX2Sg07WTj/P/9HZUy01ozZuWgp3311WFnzsHLy3dEj5ussVn+iLmrNrGUws2hFt9zh0+gH8v3NBiMBSv+0uBj0huUlAjkksiBw8vfxHe+SPM/H/euQQHDjcnMtCJ7aK6dcJQgHCaD6L2mdoXzsH09zeEjwMOnloQfRwvGLruyUXhViWfwS/OOYKCPB83PtX6wEeBkEj7p6BGJNeEBg/vN9gLakIiBw6Dt4BfK1tvIsXrogKi0mYv39qqsTmQeItPoiI37/zZv5dEnYsNhgy4aNT+dO2Uz4Nvrwm3Cp1/VClPvb9e3WEi7ZyCGpFc9dnqxmmuHqae7bXk4Pa59Sa2iyo2raWxOXlmnHfUAJ5+f0OTLT6JBkMQfzp6azjgsbmfRqUFHDw5f33U8fVPLuJf8z7lvbWfeWODgJMPLubNjysSHBu0O2qfLQU+IsmhoEYkVzW16nBlw3ozUa03XfumpBjNjc0JBTo/+uIhzbb4tCUYitf9ZcF/3D42Azlg3trPoo5nr2hYzbm52WCvLNvCzKWbceRxz7LZnDW0hOcWb1QrkEgSKKgRyVWxA4ctD4ZdAB88Fp0vNO07RUFNPLGBTkstPtC2YCi2+yuRwMcH0MwKy/vCAS8tbZh67xw8u2hj+DgUDE19ey3LNlaHW4FOKO/N26u2RU2NBw2KFomloEYkl0UOHA5N7V70r+jWG/O1adp3JrQ2GGrLuJ943V+xrUKpHhu0dGN1+LkD3lq5LXyc6KDom846nK6d8to0KFokWymoEcl1kasOQ+Np33mdvQVjclQyAp94rUKpHBvUVpGDom95dmnUudjAxwy+d/rBFHUp4Jf/Wdqm7i+R9kZBjUhHE2q9qVgOL/0UNi+Bf18FX/o9xduXQvUI6D0o06VMq0S6v5I5Niiy2+j8o0rT2goUusY5uPPlFVHnQoFP1CDoJhZIVOAj7ZGCGpGOKNR6c8GD8NeTYeWr5N89ghNxuLtv3+f1bDqKto4NCu2zddGZYxlY3GOfW4GSPSg6ahB0EwskPvzOWpZsqA4HPqcd2pfXPlTgI5mloEakI+szBE76Acy6FQv+SrRWbIQpbRPaZ6vE3yV4nH2DohdviBj34+CVZY0Dn2lz1vHBpw1bYnzx8H68tHSzAh9JGQU1Ih3dAcc1TmvFRpiSGpkaFJ3McT8LP43eEuOFJQ0zv0JT3J9ZsIG3V24LD3A+b8QAnl6wocXARyQeBTUiHV3xQY3Xs7G8rJkRJQ2SNSi6pe6vZAU+8WZ2xW6Hcf2Ti3hn5Tb+vXBDm3Z7l45FQY1IRxdcz8bN+J7X9QRQfDB065PZcklKJGtNoHQGPk/H2efrobfXsnRjw5ieLw8r4T+L4i1iGL16s+Q2BTUiAiMnUzfoFJY89TuGb3oc2/ohPPENGHW515KjbqgOJxmzv1IZ+CzZGD2mZ8YH0YsYXv9k5M7uefxp2Wyt09MBKKgREU/RANb2OZ2hJ51J/mMXw4fPeo8k7O4tuSlTgU8ie3w5Gndlxa7T83/nDqUgzxJamVmyg4IaEYni+hwWPQ/YBWDG96D8NMD2eXdv6VhSEfjsSwtP5Do9Nz29OOpcqIXHgjPCNFA5+yioEZEoVrmSRn8HuwD8bSzUbPV+G6j1RpKoLYFPqrq2HA0xfcDB9dMXsXh9Ff+cs06tOVmgXQY1ZvYUcCrwinPugphzZcD9QD+gHjjOObcz7YUUyVGuqd29d26JyKS1bCS92trCE+paircKcyIrMzsHD/93Xfg43j5bas1pP9plUAPchRe4XBLn3IPATc65N8ysF7AnnQUTyXlFAxrv7n3012HefdH5tJaNZFgiLTyRqze/s/qzVi9Q2JTIfbZit5ZQoJM57TKocc7NMrNTY9PN7Aig1jn3RjBfZZqLJtIxxNvd+70HtJaNZJ3I1ZvbskBhot1YkVtLhAKd6fPX8+7qyqhAR91WqdXqoMbMxgA/Bo4GSoDznXNPx+S5KpinP7AQuNo59+4+lxYOBnaY2QygFHjCOXdrEu4rIrHi7u79vYbA5siL1EojWactCxRGjt9pTWvOnNUNf3er2yo92tJS0w0vULkfmB570swmAncAVwBzgGuBF83sEOfclmCeBU289njn3IY46ZHlPRkYAWwBXjCzuc65mW14HyLSGqHWmzfvgLl/h4+ehx1bobsW6ZPc0tL4nba25kDjbqsXFm9i1vKtUaslqzWn7Vod1DjnngeeBzCzeFl+ANzrnHsgmOcK4CzgUuC24D1GtK24rAfmOec+Cd77ObwAp1FQY2adgc4RST0Aamtrqa2tbePLE752X+4hiVFdp1dC9d21L3zhl+Svm4NtXkTg2e8TOPpSb3Bx0YA0lTT76bOdPsmq6+Ku+RQPLAJgwogSji/bj3WVNQzs1ZUSfxd6dPZx07+XhmdI/Xj8wfzmpRUtBjqvfbQ1/Dxea84vzz2cC4/en41Vu1m7rYZBvbuGN0Jtb1L1uW7N/cy1ZV/60MVmjojuJzPrBNQAF0R2SZnZVKCnc+7cVtz7VOC7kbOfzCwfmAucBlQB/wb+6px7Ns71NwM/j02fNm0aXbt2TbQYIhLHfjtXcvLyX0TMHjEWDLyUdb1PyWi5RDLp8z2wdbfRp4ujZ2d4Z7Px2CofLmq5wMjGABdz3JjhOH1AgFc2ePcxHBMPDHB8vyTsOJolampqmDRpEoDfOVfdXN5kBzUD8FpTTnDOvROR73bgFOfcsQne92VgOF5XVyVwYeh+ZvYl4Ha8T8JLzrkfNHGPeC01n1ZUVFBUVNSq9xmptraWmTNnMm7cOAoKtI9IKqmu06tV9V29gfw/DsciRhY4y6Puu+8D3lo3ar1pmj7b6ZPput5YtTvcovPmxxVtas2J5TN4/PJj2bW3vl213KSqrqurqykuLoYEgpr2OvvpC82cC3d/tXCPPURM9w51lRUUFCSlspN1H2mZ6jq9Eqrv6rXEDpU0V0/BP86Dz1Z750IL9JWfrlWIm6DPdvpkqq4HFhcwsLgHAJOKezD2sP5Rg5B7de/S6kHIAQcX/HUO4AU4t54/jK+Obj8DjpNd1625V7KDmgq8BfH6xaT3AzYl+bVEJFOaWqDvs1UNz10Anrma8E49WoVYJOmDkEOrHj85/1Pmrf0sasDxxFED0/Su2o+kBjXOub1m9h5wOvA0gJn5gsd3J/O1RCSD/KWNF+gbdiF88GiczMGfxuE9pLQKsUik1k4pD8S5x9w10evk3DB9EYf0605NbSDjLTfp1JZ1aroDB0UklZnZCKDSObcObzr3VDObB7yLN6W7G/DAPpdWRNqPeAv0LXq8cetNJBeA2b+FE78HVevUJSUSR3OtOV07+Tj/T2+3uGt5wMF5f/KGtnakNXHa0lJzDPBaxPEdwa9Tga875x4zsz7ALXiL7y0AznDObd6XgopIOxR3gb5rvdabpkYIvHe/9wCNuxFJUGSgM2XCsFZ3UV335CLeX/c5j8/7pNEO5LmkLevUzKKFOWjOubtRd5NIxxPberPyleguqkPPhmVPN+QPjbsJjc+JHHdTtV6Bjkgcbe2ienTuJ+HnAefteTVmSJ+carFpl7OfRCSLRbbexAY5lSujg5qQUJdVaNzNlmUw5y8tBzoKfKSDam0XVTz1zvHhxu0AOdMlpaBGRFIrtosq3qypSC4A//1T9PEz18DHr8CyZxoCncPOiT5uTeDTljwi7Vxbuqi+84/32F0XaLQfVbZSUCMi6RM7ayrhlTkcLH064jDQ+PiZq+Hdv8GmxYRXah18Eqx9E1xwSvkXb4X8QvjP9xuCoSO/6s3aigyOoGHzzubG/ajlSNqplrqozMDfpYDPdzVsQZALXVIKakQkvVoad/OFn8PLNzffmtOUTYsiDhyseSPiMAAvXB+d3wVg4bTo42eubpwncr0dDI77DuR3grfuagh8hl3UMPurpbFB1Rso3r4UqkdA70FqTZKUaGlNnI+37OB/73s36pp653h56WbK+3bPyu4oBTUikn7Njbvxl0Lhfm0IdOJNbE0m1/D1v/fEnApEr9ETCoTm3gcbFxIOhoZdCHkF5C+Yxok43B9/DWUnw+o3CC9QeNrPoKAQXrxRrUmSdLGBjs9o1CX1s38vCZ/Ltu4oBTUiknmx424SCXSOnAgfPNbKwMcXjH1aagVKUoC0cUHEgfNacmiYPmo4WD07IksAXvlF9D3a2pp0zDegUzd4557mg6OmWpOSNTZJ2q0Sf2HU2JvYT31oEb9s6o5SUCMi7VMigc5pN7Uu8Dn7Tu9erckTd9xPIsFRqluO4oloTZp3f8ypeMHRNbDgEVj3DuFg6OQfQqfu8OotEcFQqI6aaSlKNGBSN1q7EtkltW3nHr477f2o8wEHc1dXMqqsV1bMkFJQIyLZIzbQaUvgA63PEzvuJ5HgKG7LUSLBUDpbkxysezv6+I3fxmQJwMJHoo/jtRTFC5hWzIRlMwgHTAeeCqtnNQzcPvO3kFfQtm60eGkKjtok1CW1sWpX3O6o6574gN31gazYV0pBjYjklpYCn7bkiRcsQetbjoLBkJtxLebqcZaHZbQ1KZWcN+U+8nhVxGL0LgD/+UHMJXG60YZfDPmd4b0HCY87+vLvva+JtBQlMihbgMbdUT6Dvj26sKl6dzhPe58hpaBGRCQRbQmOmgiG6gadwpznH+HYL11MQe9BWdiaFBoVlKrutYhutMgWIGhYoDE2LV5L0cJHyV/7dsOg7EEnwrq3GlqKtKhjI7EzpD7atJ2vPzA3Kk+9c6ypqFFQIyLS4cQLhooGsK3HYVA0oOk8GW5N2uexSQkP3HZekJF0Dta+FT0oe+2bEaeDrUJv3QXbVhLdRfZ6hx4b1NIMKZ/B4OKuGShZyxTUiIjkiiS2JiVlbFJrB24n3I2WxJaibR9HHMTpInvmGljyNKx8lXD3VyIDp3OkFSjUJXXD9EXhwOaIUj/9i7pktmBNUFAjItLRJaOlKN5xWwZuJ9KNlrSWokQGWzuvTOHDBAdOP3MNrHgJlj1Ls8FQFmzeGuqSemnJZm6ZsYRFn1bxp1krOWpgz3Y3G0pBjYiIpE6qutHipcVpKWp2UPa+rF7dIhec+RU6jBcMXQOfzIUF/2h59leGlfgLueSEweytC/Cr55bxmxc/AtrfbCgFNSIi0r4k0ioULy1OS1GLg7KTsqhjW7vDHLz/UMRhzOyvdjim56wj+/Or55aFjyNnQxV3zXxIkfkSiIiIpEpLg7JTtajjPrUCBYOjeNttNLXPGCS23s8+WrOtplFaaDZU8cCipLzGvlBQIyIiHVuqFnVMSisQ0dttNLXPWKRQ15bR8vR1aFULT1lxt0azofLa0WwoBTUiIiItacvA6da2AsWd/dXWlaNdxHI/wcBnzl9h8xLC09dPvQG69oLnf5JwC0+82VCTTxhMib+Q2traNpQzuRTUiIiIpEprW4FiZ38lc0zP5sURBw5m3Rp9PtzCY83O0ArNhvrFjCW8sHgzayp2tlgN6aKgRkREJJNamv2VlPV+Em3xiVgMMRTkLHrSW5AwYvByycjJXHfGYbyweDOzlm9lTcVOSv2dklEb+0RBjYiISHuSivV+2rwlhvM2IQ0fBrz7lp9OWXEppwzpw+vLt/Lwf9dy/RcPTlIFtJ2CGhERkfYuGev9tLQlRtwWnjhcPax5E4pK+PYIP68vh8fnfcI1Y8uS8U73iYIaERGRXNSWLTESHdPz1OUAHG8+riy6kj9Xn8i/F27En5Y31jQFNSIiIh3FvrbwxIzNMRfgx3v/zFMcyv1vreGsvsZRVbsZWFyQrncURUGNiIiINGiuhWfnVnjiG1HZfQQoz9/CW9t6c8+2PP784eyMbZ3gS/srioiISHbxl0LZyXDAsd4MqAjOfKys6xs+Dm2dsLFqV7pLqaBGREREEuQv9dausbxwUl0nP5VEb5EQ2joh3RTUiIiISOJGToZrF8Gkf0G3vhTs+Yxv5j8flSXPLCNbJyioERERkdbxl8KQ8TD+/wD4QZcZ9LXPAfAZ3DphKCX+wrQXS0GNiIiItM2wi2DASArqdvLa0Bf5ddki3vj2QRkZJAwKakRERKStfD444zYAuq74NxM3TmHA1ONg/kOZKU5GXlVERERyg39/oGFbTQttpVC1Pu1FUVAjIiIibVe5snGaq/fWtUkzBTUiIiLSdr3KG61dg+V5KxKnmYIaERERabvg2jUuuHaNC22WGbsdQxpomwQRERHZNyMnUzfoFOY8/wjHfuliCnoPykgx1FIjIiIi+65oANt6HAZFAzJWBAU1IiIikhMU1IiIiEhOUFAjIiIiOUFBjYiIiOQEBTUiIiKSExTUiIiISE5QUCMiIiI5QUGNiIiI5AQFNSIiIpITFNSIiIhITlBQIyIiIjmhw21oWV1dvU/X19bWUlNTQ3V1NQUFBUkqlcSjuk4v1Xf6qK7TR3WdPqmq69b83jbnXNJeuD0zs1Lg00yXQ0RERNpkf+fc+uYydKSgxoABwPZ9vFUPvOBo/yTcS5qnuk4v1Xf6qK7TR3WdPqms6x7ABtdC0NJhup+CFdFshJcILzYCYLtzbt/6sqRZquv0Un2nj+o6fVTX6ZPiuk7ofhooLCIiIjlBQY2IiIjkBAU1rbcH+EXwq6SW6jq9VN/po7pOH9V1+mS8rjvMQGERERHJbWqpERERkZygoEZERERygoIaERERyQkKakRERCQnKKhpJTO7yszWmNluM5tjZqMzXaZsZ2Y3mNlcM9tuZlvM7GkzOyQmTxczu8fMtpnZDjN70sz6ZarMucDMrjczZ2Z3RqSpnpPIzErN7B/B+txlZovM7JiI82Zmt5jZxuD5l83s4EyWORuZWZ6Z/Z+ZrQ7W40oz+5lFrAanum4bMxtjZjPMbEPw58V5MedbrFcz62Vm/zSzajP73MzuM7PuqSivgppWMLOJwB14U9ZGAguBF82sb0YLlv1OAe4BjgPGAQXAS2bWLSLP74GzgQuD+QcA09NczpxhZqOAbwMfxJxSPSeJme0HvAXUAl8CDgd+CHwWke0nwDXAFcCxwE68nyld0lvarHcdcCXwXeCw4PFPgKsj8qiu26Yb3u+6q5o4n0i9/hM4Au/n+5eBMcDfUlJa55weCT6AOcDdEcc+vK0Xrs902XLpAfQBHDAmeOwH9gIXROQ5NJjnuEyXN9seQHdgOfAFYBZwp+o5JfV8G/BGM+cN2Aj8KCLND+wGvprp8mfTA3gWuC8m7UngH6rrpNazA86LOG6xXvGCTAccE5HnDCAADEh2GdVSkyAz6wQcDbwcSnPOBYLHx2eqXDnKH/xaGfx6NF7rTWTdfwisQ3XfFvcA/3HOvRyTrnpOrnOAeWb2r2C36vtmdlnE+TKgP9H1XYX3x5Pqu3XeBk43syEAZjYcOAl4PnhedZ0aidTr8cDnzrl5Ede9jBfUHJvsAnWYDS2ToBjIAzbHpG/G+2tWksDMfMCdwFvOucXB5P7AXufc5zHZNwfPSYLM7Kt4Xaej4pxWPSfXgXhdIncAt+LV+R/MbK9zbioNdRrvZ4rqu3VuA4qAD82sHu9n9U+dc/8Mnlddp0Yi9dof2BJ50jlXZ2aVpKDuFdRIe3MPMBTvryxJIjM7ALgLGOec253p8nQAPmCec+7G4PH7ZjYUb+zB1MwVKyddBHwNmAQsAUYAd5rZhmAAKR2Eup8SVwHUA7EzQfoBm9JfnNxjZnfjDSIb65z7NOLUJqCTmfWMuUR13zpHA32B+WZWZ2Z1eIOBrwk+34zqOZk2Aktj0pYBA4PPQ3Wqnyn77jfAbc65R51zi5xzD+MNer8heF51nRqJ1OsmvJ87YWaWD/QiBXWvoCZBzrm9wHvA6aG0YFfJ6cA7mSpXLghOCbwbOB84zTm3OibLe3gzSCLr/hC8Xw6q+8S9AgzD+ys29JiHNzMh9Fz1nDxvAYfEpA0B1gafr8b7oR5Z30V44wxU363TFW+MRqR6Gn7Hqa5TI5F6fQfoaWZHR1x3Gt73Zk6yC6Tup9a5A5hqZvOAd4Fr8aa7PZDJQuWAe/Cajc8FtptZqJ+1yjm3yzlXZWb3AXcE+2GrgT8C7zjn/puZImcf59x2YHFkmpntBLaFxi+pnpPq98DbZnYj8DgwGrg8+MA5F1oj6CYzW4H3C+L/gA3A05kocBabAfzUzNbhdT8dBfwAuB9U1/siuJ7MQRFJZWY2Aqh0zq1rqV6dc8vM7AXgXjO7Am8ywt3Ao865DUkvcKaniGXbA28dhLV4W6vPAY7NdJmy/YE33S/e4+sRebrgBT+VeOsgTAf6Z7rs2f4gYkq36jkl9ftlYBHeFNdlwGUx5w24Be+v3d14s0KGZLrc2fYAeuBNMFgL7AJWAr8EOqmu97luT23i5/ODidYrXlfTNGA7UIUXbHZPRXkt+IIiIiIiWU1jakRERCQnKKgRERGRnKCgRkRERHKCghoRERHJCQpqREREJCcoqBEREZGcoKBGREREcoKCGhFJGTM71cxcnP2k0l2Om81sQZpeq128Z5GOSEGNiGBmDwZ/ETszqzWz1WZ2u5l1yXTZREQSpb2fRCTkBeAbeHuzHA1MxVsO/bpMFqq9MrNOztvoNqvuLZLL1FIjIiF7nHObnHOfOOeextvDZVzopJn5zOyGYCvOLjNbaGYXRN7AzM40s+XB868Bg2PON+oGMrNrzWxNTNqlZrbEzPaY2cbgLu6hcz3N7O9mttXMqs3sVTMbHnP99Wa22cy2BzfpbLHFycxOMbN3I17zNjPLjzg/y8zuNrM7zawCeDGR9xzMc5KZvRHM84mZ/cHMukWcX2NmPzOzh8ysGvhbS+UVkcYU1IhII2Y2FDgBiGwtuAGYDFwBHIG3C/U/zOyU4DUH4G2AOQMYAfwduK0Nr30l3qaafwOGAecAH0dk+RfQF/gSXovSfOAVM+sVvP4i4GbgRuAYYCPwnRZesxR4DpgLDAeuBL4J3BST9RK8OjkRuCKR92xm5XitYE8CRwITgZPwdiqO9CNgId4O0//XXHlFpAmZ3gFUDz30yPwDeBCoA3bg7bTrgHrgK8HznfF27T4+5rq/A9OCz28FlsScvy14r57B45uBBTF5rgXWRByvB37ZRDlPwtvlt3NM+sfA5cHnbwP3xJz/b+zrxpz/FfAheJv8BtO+g7ersC94PAuYH3NdIu/578Bf47yPeqBL8HgN8FSmPwd66JHtD42pEZGQ1/BaKLoB3wfqnHNPBs8dBHQFZppZ5DWdgPeDzw8D5sTc853WFMDM+gIDgFeayDIc6A5siylHIVAeUY6/xCnH2GZe+jDgHeeci0h7K/ha+wPrgmnvxbmupfc8HDjSzL4WkWZ4LeVlwLJg2rxmyiciCVBQIyIhO51zH4M3pgVYaGbfdM7dh/fLHeAsvJaUSHta8RoBvF/okQoinu9q4frueN1Jp8Y593krytFWO9twTXfgr8Af4pxbF/G8LfcWkQgKakSkEedcwMxuBe4ws2nAUrzgZaBz7vUmLluGN/4l0nExx1uB/mZmEa0iIyJed3tw0PDpeC1HseYD/fFakdY0U45jgYeaKUe8a74SU64T8bqfPm3hupbe83zg8FDAKCKpo4HCItKUf+GN+7jKObcd+C3wezO7xMzKzWykmV1tZpcE8/8FONjMfmNmh5jZJODrMfecBfQBfhK8x1V4A34j3Qz80MyuMbODQ68TPPcyXvfO02Y23swGm9kJZvYrMzsmmOcu4FIz+4aZDTGzX+ANbG7On4ADgD+a2aFmdi7wC+AO51ygmesSec+/Bk4IzpwaEXxP50bO6BKR5FBQIyJxOefq8Gbo/CQ4/fhneLNybsBroXgBrztqdTD/OuArwHl4s3iuwJuBFHnPZXgDcK8K5hmNFyxF5pmKN3j4O8AS4Fng4OA5B5wJzAYeAJYDjwKDgM3BPI8Fy3k73hiYQcCfW3iv64P3HR0s11+A+4BftnBdIu/5A+AUYAjwBt4YpFuADc3dW0Raz6LHxYmIiIhkJ7XUiIiISE5QUCMiIiI5QUGNiIiI5AQFNSIiIpITFNSIiIhITlBQIyIiIjlBQY2IiIjkBAU1IiIikhMU1IiIiEhOUFAjIiIiOUFBjYiIiOQEBTUiIiKSE/4/G8uGMHWbLdoAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "error_bounds = bt.error_bounds()\n",
    "hsv = fom.hsv()\n",
    "fig, ax = plt.subplots()\n",
    "ax.semilogy(range(1, len(error_bounds) + 1), error_bounds, '.-')\n",
    "ax.semilogy(range(1, len(hsv)), hsv[1:], '.-')\n",
    "ax.set_xlabel('Reduced order')\n",
    "_ = ax.set_title(r'Upper and lower $\\mathcal{H}_\\infty$ error bounds')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2a698cb1",
   "metadata": {},
   "source": [
    "To get a reduced-order model of order 10, we call the `reduce` method with the\n",
    "appropriate argument:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "45cb66a4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "311c137a6ae3436cbdf4b985ac05ec90",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Accordion(children=(HTML(value='', layout=Layout(height='16em', width='100%')),), titles=('Log Output',))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rom = bt.reduce(10)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4511273b",
   "metadata": {},
   "source": [
    "Instead, or in addition, a tolerance for the {math}`\\mathcal{H}_\\infty` error\n",
    "can be specified, as well as the projection algorithm (by default, the\n",
    "balancing-free square root method is used).\n",
    "The used Petrov-Galerkin bases are stored in `bt.V` and `bt.W`.\n",
    "\n",
    "We can compare the magnitude plots between the full-order and reduced-order\n",
    "models"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "86f37a5c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "w = (1e-2, 1e3)\n",
    "fig, ax = plt.subplots()\n",
    "fom.transfer_function.mag_plot(w, ax=ax, label='FOM')\n",
    "rom.transfer_function.mag_plot(w, ax=ax, linestyle='--', label='ROM')\n",
    "_ = ax.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "09a89b1f",
   "metadata": {},
   "source": [
    "as well as Bode plots"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "768d1328",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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NmsTWqAlAi8O2tgTO++dVXm42e7b9zcHt68jdtYYYk0SXQ3GsS8uis3sNbZ2ractqmD8V5nuuDTsSkgltM5gWvYcSG5dwPFNTKuDoX09KlVFYeCRN2iTRpE0SPYqtz8tdzmefv0vTWBdsn0+tg0to6tpCQ3azNW0V1364CIdd6NEkgWsTl9Opz6kk1tNeF6WUqg7CI6Jo3DqJxq2TAEj2rne7DVu3tCB1cTMy18ymmWsTTQs30ZDdNNz/Dcz5hmt+u5OMxicztGNdTu9Ylzpx5elBUyo4aLGiVCXZQ0IIr1GfbkOH4nDcCEDGof1sXDiTdTtzabwrkq0Hcli/cT0Dd9wJS+9kRVhnsludTZtBI6mRWNfiDJRS5eGLe1ZU9WezCU2btaJBw6ZMtTem8dCh5OZmsX7eT+SvmUmdA/OY62pL9qYDzNt0gAPTHuP0iNWkNzuD1qdcSULtsg7lU6p602JFqSoQW6MmSSdfTBJwJbBpXzaL5/3O34va0KZwDR0LlsLKpRSseIIFcScS2eca2vU+VWeTUSoA6DBhVVHRsfEknTICThkBwE8Hcpi+cjdTl+9i6O5U2jq3wbqVFKx9jkXR/bD3uJyOJ5yHPUT/XFPBS/8yOgJ9QrHypWaJUQwbejpt/pfKzivnkdL8ZjbYmxMqhfTI+Jn20y/m6acf4p0/N5GdX3jsAyqllAp4jRIiueaE5nx1Qz/ir/2WlNZ38re9JaHiolv273T57Rr2PdaaP9+7nwPZBVaHq5QltFg5An1Csaoq9Zu2IfnyR2lx/2LWn/M98xLOZJ+J48NDnXjkh1X0fXIW73/9Iwf2lP6sGaWUUtVPnYYtSL7kf7S6fyEbzp9OSq3hHCKaOuxnz/pF9HniF+7+chlrd2daHapSx5X2KyploZZdB0DXAWRm5zB++V7e+XMTG/dl0XXxfUQs2Ulq7bNpfOZd1GtS1qk6lVJKBboWnZJp0SmZvNxsFsx8n1kbYshPc/Pp/G0sWDCX5+KmEHbSeNr2Gmx1qEpVOS1WlPIDMVGRjExuwohejZm9aDXhP4UQUVhA771fUPjOV8yreQZNhj1MnYYtjn0wpZRS1UJ4RBQ9zr6e7sZw5ZaDvPPXJvqveZsuefNh6gWs+CUJGTieDn2HWh2qUlVGh4Ep5UfsNuGUHu1pee98Vpz8PsvDuhIibnod+J64t3oz9/UbOLRvt9VhKhXU9J5GdbyJCD2aJvDapd0ZeNVjzIs/E6ex0zF/CR1mjGDV//Vn+e/fYtxuq0NVyue0WFHKD4nNRscTzqHTPb+y5vQprHJ0JFyc9Nn9EY+8/AYTf91AfqHL6jCVCkp6T6OyUoPmHeh1y0fsGzWX1JrnUmBCaF+wnE6zLmfxk6cwd/0+q0NUyqe0WDkC/eRM+Yu2vYfQ7p4/WDrwbX4OPYmv8rvz1E9rGPL87/y+cJl+kqaUUkGoXpM29L7pPQ6OnkdKreHkGQezs5sx4u1ULpuUyvLtOqu2qh60WDkC/eRM+ROx2egyaDgn3f0VEy5MonZMGPv376Pdd2ey/OlT2LJmkdUhKqWUskCdhi1IHvs2WdctJLf7dTjswh9/7+Op1yay6Nmz2bpuidUhKlUpWqwoFUBsNmFYt4bMuuNEHuySSRzZdM5bSP1PTiFl4hiyMw9ZHaJSSikLJNZvwv+G9eKX207kvKT63BnyGd2yfqP+R4OY9+Il7N623uoQlaoQLVaUCkDRYSEMHzGKPZf9xuLIvjjERXLaJ2Q+14Olsz63OjyllFIWaVwzkucv7krsRa+zJLKPZ5KWgz8S/3YyKROv02d4qYCjxYpSAaxhy450vWsaSwe+zU6pTV320uX30Sx47jz2HsqyOjyllFIWadahN0l3/cSaoV+yMrQTYeIkOe1Twl7txs/vP0FGntPqEJUqEy1WlKoGugwaTo3bFzC37iW4jLDtUD4nv/AXn83fijHG6vCUqlZ0AhYVSNr2OoX2d//OshPfYb29BVGSx9drchjw9Gxe/20DuQU6s6Tyb/pQSKWqicjoOPqMmcj6pZcyZfZBMnYXMv7L5fwyfwUPDGlMw5YdrQ5RqWrBGPMq8KqIxAI65ZLye2Kz0fnE8zEDzmP+L1NYt6w2h/bm8OS0Nez+/R1Obx1D13NvJTQs3OpQlfoP7VlRqppp2aU/7990BvcNbUeEw8YFu54l4YOTSPn0Sdwu/QRNKaWCldhs9Bx8ET+NO5HnhnehZQ1hbOH79F79BPue7MS8r1+m0FlgdZhKHUaLlSPQbn4VyELsNkYPaM7MsT1oEFFIpOSTvOYJVj19Eru2rLU6PKWUUhay24Tzuzdk6riT2NjhJvYST32zh15L/8eOJ7qycOpk/XBL+Q0tVo5An7OiqoOGdWvRbvxsUtrcTa4JpWP+EmLeGci8L5/Xh0kqpVSQCw0Lp/eFdxF953JSWt7KIaJp4t5O93m3svH/ejL3t59wu/W+R2UtLVaUquZsdjvJI+5h32WzWONoT7Tk0mv5Qyx7egh7dm61OjyllFIWi4iKIXnkw9jHLWduo9FkmQhaujbw8E+bOP3FP/h+6U5cWrQoi2ixolSQaNSyE63G/0FKy1vJNw7iczZz7puLmLZ8l9WhKaWU8gMxcQn0ufpZnDcu5seWD7MjtDlr0zK56ZPFvPfkDcz/5lW9p0Udd1qsKBVE7CEhJI98mN0XT2dC/L3szHNw/UeLGD9lKdlZGVaHp5RSyg/E16rHGSNv5c/xJzHulNa0DT/EZfmf0XPJvaT9X0fmffk8Bfl5VoepgoQWK0oFoSbtuvP0TVdy/YktEAHHkskcfK4X6xb9anVoSiml/ERcpINbTmnFlHGns6DFDRwglgYmjV7LH+LAEx1I/exJ8nKzrQ5TVXNarCgVpEJDbIw/rS0fj+rB6NAZNDS7aP7tecx9925chYVWh6eUUspPxMQl0Ofyxwi/YwUprW5nL/HUZR+9Vz9B5lMd+O77r8gp0OuGqhparCgV5Pq0qkONm35jQcwgQsRNn80TWffUAJ3iWKkj0KntVbCKjI4j+dIHiBm/ktR297CbRCJMLg/8VUD/p2bz6uz1ZOY5rQ5TVTNBUayIyNciclBEvrA6FqX8UVxCLbqP+4r5SU+QZSJo51xJ9OSBLPjhTatDU8rv6NT2KtiFR0TR+6K7SbhnJXP6TSY2oQ4Hsgt4ZvoaFj55Kgveuxtnvg4PU74RFMUK8CJwudVBKOXPxGaj57k3kH7FbNaEtCOGXJLmj+ex97/XT8qUUkr9R2hYOEOGDGXW7QOZcGEXzorfxokspM/2tzlt5TjmTxrHgT07rA5TBbhKFysiEu6LQKqSMeZXINPqOJQKBA2at6Pl+N+Z2/haXnBdwNurbJz58p8s237I6tCUUkr5oRC7jWHdGvLC7aNZ2GsCG21NiJY8+u7+gIhXk0iZeB37dm+zOkwVoCpUrIiITUTuF5EdQJaINPeuf1REri7nsQaIyPcislNEjIicW0qbsSKyWUTyRCRVRLTrXakqFOIIpc+oZxg0+ika1Ihgy/4c7po4hZSPHsHtclkdnlJKKT9kDwmh+9CraXDXPD6rNY6/7a2IkAKS0z4lcmJ3PvjyG9JztadelU9Fe1b+B1wJ3AUUfzrQCuCach4rClgKjC1to4hcBEwAHga6edtOF5HaxdosEZEVpSz1yxmLUqqY7k0SmHrLCZzVIYHn7S+S/PdzLH/2NA7s1QdJKqWUKp3Nbie8YVea3PUXywZOYl1Ia3aZBB6ab+OEp2bx2q/rycnXokWVTUgF97scuNYY84uIvF5s/VKgbXkOZIyZBkwDEJHSmtwGvGWMmextMwY4AxgFPOk9RlI54z8iEQkDwoqtigFwOp04neX7j1XUvrz7BTLNufqJDIHnLuzGwq8vI3/1M3TJncfeNweQV28MTudgq8M7rqr7e12ayuQcTD8npdR/ic1G50EXYAYO49dFK2jxx0HWpWXxwk8rOOHXi8lpez5J595CWHik1aEqP1bRYqUBsL6U9TbAUfFwDicioUB34ImidcYYt4j8DPTx1XlKuAd4sOTKGTNmEBlZsf9MM2fOrGxMAUdzroYi2vJN0wfpteU1mrGT4TufZOrLa3C2PhubzW51dMdVtX+vS1GRnHNycqogEqVUoBGbjUE9OjOgm+G7pTtYN+1VOhX8DWueZMdTk0lLvp+ugy9FbMEy75Mqj4oWK6uAE4AtJdZfACyuVESHSwTsQFqJ9WmUowfHW9x0AaJEZDsw3Bgz9wjNn8Az7KxIDLB9yJAhxMbGljlw8HyqOHPmTAYPHozD4bMazq9pztU/55ysEaS8exPJ6VM5M/drVq1aR+zln1Knbj2rQ6tywfZeQ+VyzsjIqKKolFKByG4TzuvakIL2D5L6bQItVr1CA5NGg7k3snLhW4Sf9TQtOiVbHabyMxUtVh4B3hORBnh6U4aJSBs8w8PO9FVwvmKMOaUcbfOBfBEZi+c+GhuAw+Go8B8nldk3UGnO1VdcfCLdb3yfKRMf4PT9k8nOd3LZOyt5angYp7SvY3V4x0WwvNfFVSTnYPsZKaXKJjQsnN4X3kl25mjmfvoQ3bZ/SIeCpbi/OI15s8+k2eUTqVUjxuowlZ+oUH+bMeZb4CzgFCAbT/HSDjjLGOPL8RH7ABdQ8i+gOsBuH57nP/ShX0odXWiTZPZdMp3XEu5lf66ba95fwGPfLiY/T4f+KKWUOraomBr0Gf0CB0b9xcKYQdjEkL13K4Oen8Mbv23A6XJbHaLyAxUeHGiM+cMYM9gYU9sYE2mM6W+MmeHL4IwxBcBC4OSidSJi874+0jAun/BOl7wKmFeV51EqkDVo3p43bjyHa/o3A6De/KfY9kx/tv29zOLIlCobEflaRA6KyBdWx6JUsKrXpA3db/+G1ad/zqc1x5KVX8gT09Zw8QtTWZPq0z8tVQCy/E4mEYkWkSQRSfKuauZ93dj7egIwWkSuEJF2wEQ80x1Prsq4tGdFqbIJDbHxvzPb8/6IFgwL+ZOWrg0kfDiYBd9NtDo0pcriRTxDmJVSFmvX+1Qm3nwhT1/QmYSoUM4/+DZtpw1n3kuXkr6/5O3LKliUuVjxfvJ0oCxLOWPogeem/KIb8yd4v38EwBjzGXCH9/USIAk4zRij/2qV8iMDurTFOfoPVoZ2Ikry6LHobua9MIKcrHSrQ1PqiIwxvwKZVsehlPKw2YQLezTil3En0LJWFAC9DvyA6+UeLPhuIsatQ8OCTXl6Vm4FxnmXx7zrpgMPeZfp3nWPlicAY8yvxhgpZbmyWJtXjDFNjDFhxpjexpjU8pyjInQYmFLlV7tBM9re9StzG1+Lywi9Dk1lz4R+bF69wOrQVAASkQEi8r2I7BQRIyLnltJmrIhsFpE8EUkVEe0NV6oaiI8Op9ctH7HqtM/YbGtEAhn0WHQ3K58axPb1K6wOTx1HZZ4NzBjzXtH3IvIl8IAx5pViTV4SkRvx3HT/vO9CtIYx5lXgVRGJBfSjYaXKyB4SQp9Rz7DyrxOpPXMsTd3b2PPp+Xxx+i+c37vFkR7+qlRpovA8bPgd4KuSG0XkIjy98WOAVDwfqk0XkTbGmD3eNkso/Vo3xBizszzB6EODKy8Y89acK6dV95Mp6DiXOVP+j26b36Jj/hJyPxjEtKTnOGnoxdhs/nFN0fe54vsfS0WnLj4VGF/K+p/wPlVeKRXcOvQ7g/0tu7Bs8hW8kdGXH79Zy19bsnjs3I5EhVX0V48KJsaYacA04EhF7m3AW8aYyd42Y4AzgFF4r0XGmCQfhqQPDfaRYMxbc66khGS+C2lOy42TaWS2cW+qg/hVMxjRwkXtCN+dprL0fS67sj44uKJ/MewHzgGeK7H+HO+2gFfyOStKqfKrWach8XfOpP3vG/lp5jq+XrwDs/kvbhragxadelsdngpgIhIKdMfzIF8AjDFu70OA+1TRafWhwZUUjHlrzr7N2bgv54c/Uin4PYeNmS6eW+ngxS47GXjGpdhDrPsgTN/n8udc1gcHV/RdfRB4W0ROxNP1DtAbOA0YXcFj+hUdBqaUb9jsNsYOakmvZgk89NEv3JfzJLFf5JK65m56nX8bYtPPA1SFJAJ2oORkK2lA27IexFvcdAGiRGQ7MNwYU+rU+EUPDS62L6APDa6IYMxbc/adYacMoGe3HO7+ahnxG3/g1BUvs2btJKIufJ1Grbr4/Hzloe9z+fYri4o+FPJdoB+QAQzzLhlAf+82pZQ6TM+mCXx43QnsiGxHmDjpvfJRFj0/jMz08k4gqJTvGGNOMcbU8j4vrOGRCpXidAIWpazXKCGSD6/uzSU96pFlImjrXEXih6eQ+vnTOmNYNVOZh0KmGmMuNcZ08y6XHo9ZupRSgSs+sS6d75hGSstbcRo73TNnk/5CX9Yv/dPq0FTg2Qe4gDol1tcBdlflifU5XEr5BxGh77CxZI76nRVhSURIAb1XPc6yZ05j3+5tVoenfKRCxYqIND7a4usgraCfnClVNWx2O8kjH2bDWVPYRS0aml00/uocUj99Qj8NU2VmjCkAFgInF60TEZv39TF7R5RS1Ue9Jq1pf9csUlrdTr5x0CU3FdvrfVn8yxSrQ1M+UNGelc3ApqMsAU8/OVOqarXtcTKRN89hcWRfQqWQ7Sv/5PoPF5GeGzzTPqqjE5FoEUkSkSTvqmbe10Ufik0ARovIFSLSDpiIZ7rjyVUcl36YpZSfsdntJF/6ADsv/JFNtqYkkMFzv2zgnq+Wk1NQaHV4qhIqeoN91xKvHd51twH3VSoipVTQiEuoTdIdP/LHlBd5ZFkT0lelseKlP3hlRFeSGsdbHZ6yXg9gdrHXRTNxvQdcaYz5TERqAY8AdYElwGnGmJI33fuUTsCilP9q1qE3ec3n8vmXH/DnioYwbyspG/fzygVt6NC0ntXhqQqo6A32S0ssC4wxbwF3ADf7NkSlVHUmNhsnXDSO98ecRKOECLYfzGHP28NJ+ehhHRYW5IwxvxpjpJTlymJtXjHGNDHGhBljeuu9k0qp8IhILhx5HR9f05u6seE492+izuTepHzyf3pdCUC+njN0LdDTx8e0hHbzK3V8dWlUgx9vPoHxzTYyxDaf5L8nsPTZoaTvr9IPyZUqN70+KBUY+rZM5KdbT+CeOvNIlHSS1z7FkmfPJP3AHqtDU+VQ0RvsY0sscSLSFngM+Nu3IVpD71lR6viLDXcwZvSNpLa7j3zjIClnLrkv92XNvOB7IrDyX3p9UCpw1IgMZejNr5LSZjwFJoSuOX+R+1Jf1sz/2erQVBlVtGflEHCw2HIAWIXnqcHX+yQypVRQEpuN3hfdxbbzv2Ob1Kcu+2j544WkvH8/bpfL6vCUUkoFGLHZSB5xL1uHfct2qUdd9tLyh+HMff9/el0JABUtVgYBJxVbTgTaAy3K8kAtpZQ6lpad+xI/bg4LYk4mRNwkb3yJ356/jP1Z+cfeWSmllCqhZZf+xN3673Wlz8aX+eiV+zmUU2B1aOooKlqsGOAvY8xv3uUPY8waABEZ4LvwlFLBLDo2nu7jviC100Nkmghe2N+boS/9QerG/VaHpoKY3rOiVOCKiUug+7gvmNfpYVJNOx7d1YszX/6TFTt0Yj9/VdFiZTaQUMr6OA6fZlIppSpFbDZ6nz+OXaPmk5XYhbSMfEa8lcKn33yHq1DnzlfHn96zolRgE5uNXuffSvS1P1E3IY7tB3O5YOKf/PHDh1aHpkpR0WJF8PSulFQTyK54OP5DPzlTyr+0btKI727sz7BuDWjLZs5bPIpVz5zCvt3brA5NKaVUAOrQoAbf39ifk9vW5kY+44QFY0l9cSR5udXiT9lqo1zFioh8JSJf4SlU3i167V2+BaYDc6oi0ONNPzlTyv9EhYUw4cIk/tc3Ahc2OuUvRl7vz4o/v7M6NKWUUgEoLtLBW5f3oHuLBriN0Pvg92x7dgC7tqy1OjTlVd6elXTvIkBmsdfpwG7gTWCkLwNUSqmS+p41ir0XT2OzrTE1OUT7mZczd9LtOixMHRfa865U9WKzCX2ueoKVJ73DQWJo5VpP+OSTWfHX91aHpihnsWKMucoYcxXwMHB10Wvvcp0x5gljzL6qCVUppf7VpF136tw+h3nxZ2ATQ59tb7Pm6UHs3bnZ6tBUNac970pVT50GDiPvql/4296KeDJpO+NyUj97Sp96b7EK3bNijHnYGKMD+pRSloqIiqHXLR+zoNtT5JgwOhQs46O3nuX3dXutDk0ppVQAqtekDY1u/5UFsacQIm66rHqGZ6b8QkGhFixWCSlrQxFZBJxsjDkoIosp/QZ7AIwx3XwRnFJKlUWPs8ewrV0ffv7iaV5KPxX3O/O44cQW3Da4NSH2is4jopRSKhiFR0bT/dYpzP3wQT5Z6+a7xQUsOJjKxJHdqBkdZnV4Qac8V/FvgaKnsX3jfX2kRSmljqtGrbow5I73GdG7KQCTfl3Nr8+OIG37emsDU0opFXDEZqPP5Y9yzsibiQ4LYd7mA9z50vtsWJ5idWhBp8w9K8aYh0v7Ximl/EW4w87j53WiT4uaHPzydk7J/YmDb//F0gHP0uWki60OTymlVIA5uV0dvhnbl7smz+D/ch4n9oscFu+aQNchOp/U8VKp8REiEioiDUWkcfHFV8FZSWd7USpwndm5Pidd8T/W21sQTyZdfr+OlNdvwFmQf+ydlToGvT4oFVxa1o5h8ugT2BvejEjJp8tfN5Ly0SN64/1xUqFiRURai8gfQC6wBdjkXTZ7vwY8ne1FqcDWoHkHGt35J6m1LgAgefdHbHxa585XlafXB6WCT1xCbdrdMZ3UmudgE0Py388x77WrKXQWWB1atVfRnpXJgBs4E+gOdPMuXb1flVLKcmHhkfQeO4lFfV4hgyjaFK4havIg5s3WW+uUUkqVT4gjlF5j3yWl5TjPAyT3fcXK54aSmX7A6tCqtYoWK0nAdcaYacaYJcaYpcUXH8anlFKV1u3Uy8i6cjbrQlrjMsIt09N5+PuVOhWlUkqpchGbjeSRD7Gk78vkmlC65M3nl1dvZld6ntWhVVsVLVZWAYm+DEQppapS/aZtaHrnH0zpOJFd1GTyX5u54PU5bNux0+rQlFJKBZhup17GtnO+YI4k8b+Mc7jgjVS2ZVkdVfVU0WJlPPC0iJwoIjVFJLb44ssAlVLKV0LDwrl2+Nm8fXkPakQ6qLVzFnFv9mDRtMlWh6aUUirAtO42kMY3T6N+ndrsycznpZU2Fi7SeTd8raLFys9AMvALsAc46F0Oeb8qpZTfOqV9HabefALXxfxFrGTTLfVWUl+5irzcbKtDU0opFUAaxkfyxfV96ds8gVHyA92nnsX87163OqxqpaLFyiDvclKJpWidUkr5tfo1Iuh6+3fMrX8FAL33fcWOZ/uzbf1yiyNT/k6nLlZKFRcb7uCtkV3pG74Vh7jouWg8cz98CGOM1aFVCxUqVowxvx1t8XWQSilVFRyhYfS59iWWnvgOB4mlhWsjCR+cwoIf3rQ6NOXHdOpipVRJoQ47+ztey9zangcQ91n/PKmvj8HtclkcWeCr6HNWOh9h6SQirUQkzNeBVpSINBKRX0VklYgsE5HhVseklPIvXU48H+foP1gZ2okoyaPHgjt59cPPyHPqRUYppVTZ2Gw2eox+hZSW4wBITvuURS8MJz8vx+LIAltFh4EtARaXsiwB1gDpIvKeiIT7IMbKKgRu9X4KNgR4QUSiLI5JKeVnajdoSps7Z5HS8Go+cJ3CMyuiOeeVv1i/J9Pq0JRSSgWQ5JEPsaDbUxQYOz0yf2Ht82eSmZtvdVgBq6LFynnA38C1eJ65kuT9fi1wCXA1nntXHqt0hJVkjNlljFni/X43sA9IsDQopZRfCnGEknzNBJpd9jqJ0WGsTcvkqpd/ZN63erOkUkqpsutx9hjWnjyJbBPOZ1lduPDNeezJ0GexVERFi5X7gFuMMZOMMcu9yyRgHHC7MeYj4CY8Rc1RicgAEfleRHaKiBGRc0tpM1ZENotInoikikiFxgmLSHfAbozZVpH9lVLBoX/rWky9pT/9mtfgSV6i1+LxzH/hInKy0q0OTSmlVIDoNOA8to38g+kRQ1m9K4NhE+ewaZ/OOlleIRXcrxOwpZT1W7zbwDMkrF4ZjhUFLAXeAb4quVFELgImAGOAVOBWYLqItDHG7PG2WULpuQwxxuz0tkkA3gdGHy0Y7/02xe+5iQFwOp04nc4ypPOvovbl3S+Qac7BIRhyjg+3M+mybiz8uD+uravoeegnNr80kLwmN1TrvEuqzHsdTD8npZQqTdtWrfny+gZc8c48Du1PY++rp+Ie9iwtOiVbHVrAqGixsga4W0SuNcYUAIiIA7jbuw2gAZB2rAMZY6YB07zHKK3JbcBbxpjJ3jZjgDOAUcCT3mMkHe0c3gLkG+BJY8ycY4R0D/BgyZUzZswgMjLyGLuWbubMmRXaL5BpzsEhKHJO7MeUwpoM2jmRpmyn7qYH+fGNDdibDkBspf7OqpYq8l7n5OhNpUop1aRmFFPG9GXRy5fSq2A5GV8OY3Xue7TrNdjq0AJCRYuVscB3wHYRWeZd1wmwA2d6XzcHXqtMcCISCnQHnihaZ4xxi8jPQJ8yHkOAd4FZxpgPyrDLE3h6corEANuHDBlCbGxsWUMHPJ8qzpw5k8GDB+NwOMq1b6DSnDXn6mkoB/ZczNL3R9ElfwHnp09i/qattLrydaJi4qwOrkpV5r3OyMiooqiUUiqw1IoJI/n611n92tm0c67E8eMlLM15nS4nnm91aH6vQsWKMWaOiDQDLgVae1dPAT42xmR625SlMDiWRDwFUMkemjSgbRmP0Q+4CFhW7H6Yy4wxpT75zRiTD/wzZUNRb4/D4ajwH2WV2TdQac7BIZhyrtOgCTXG/cg3L9/MmVlTSDi0gssmz2fCyP60qhNjdXhVriLvdbD821BKqbKIi08k9NbpLH35PLrkzafd7NEsyD5EjzOutjo0v1bRnhW8RYnfT5FjjPmTCkwkICJj8fQgVXQSAqVUNWOz25HWZ7A68Wz+b3Yay/e6OfuVv3j83A4M697I6vDUcaLXB6VURUVExdBu3A8sfOViumfOptu820nNTaf3BbdZHZrfqtQvWhFpLyKnicjZxRdfBYdnmmEXUKfE+jrAbh+e5z/0CcVKqSNp2+tUXr51JP1bJpLrdLHiq6eY9+Kl5OVkWR2aOg70+qCUqozQsHCSbvmC1JrnYhND/WWv8dYvK6wOy29VqGdFRJoDX+O5T8UARXeZGu9Xe+VDA2NMgYgsBE7Gc4M8ImLzvn7FF+c4Ev3kTCl1NInRYbw3qheTfprLFamfEnbQycZn++EY8T6NWnWxOjyllFJ+zB4SQq+xk/l9cj3uX9+KLTO3sK/Azt2ntT3ShFNBq6J/iL8IbAJqAzlAB2AAsAA4sTwHEpFoEUkSkSTvqmbe1429rycAo0XkChFpB0zEM93x5ArGXib6yZlS6ljsNuHaoX1Zd/IkDhBLc/dm4j88lYVT37E6NKWUUn5ObDYGXP0kl5x2IgBv/LaR1z76DFdhobWB+ZmKFit9gAeMMfsAN+D23htyD/BSOY/VA1jsXcBTnCwGHgEwxnwG3OF9vQRIAk4zxhxzWmSllDoeOg04B9e1f7AqtBPRkkv3eeNIfWUU+Xk6da9SSqmju25gC54c1omT7Iu59u8bWPLC+RTk69Pui1S0WLEDmd7v9wH1vd9vAdqU50DGmF+NMVLKcmWxNq8YY5oYY8KMMb2NMakVjLvMRGSsiKwC5lX1uZRSga9W/aa0vnMWc+tfAUDvfV+y8dmT2LYv8xh7KqWUCnYX92rMjf0bYIDuWb+y+vkzycnW6d+h4sXKCqBoUHYqcJeI9AMeADb6IjCr6TAwpVR5hThC6XPtSywd8BaHiOaL3O6c8cocZqys0vlAlFJKVQPdTr+KtYPeIseE0SVvPlteOJX0A/usDstyFS1WHiu274NAM+APYChwiw/iUkqpgNXlpAvJHT2XRfVHkJFXyLUfLOSlr2bjLMg/9s5KKaWCVqcTz2frGR+TQRTtnKvY98op7Nu91eqwLFWhYsUYM90Y85X3+7+NMW3xPMCxtjHmF18GaBUdBqaUqox6DRrz2XV9ubp/M6LI5Ywl17Ph6YHs3rbe6tCUUkr5sba9TmHfBV+zjxq0cG8i743B7NgevAVLuaYuFpFjTnEjIhhjRlU8JP9gjHkVeFVEYoF0q+NRSgWe0BAb95/ZnlNitlFrdjqxhbs4OOlElg18gc6DLrA6PKWUUn6qecfe7Ij4kZ0fnsdfzrY89+5a3r+mBm3rxlod2nFX3p6VK4FBQA0g/iiLUkoprz4DTyXz8p9Zb29BPJl0/u1q5r51K4XOAqtDU0op5acatOhIyHWzeDfhVvZkFXDh63NZuOWg1WEdd+UtViYCcXjuUZkNXG2MOa/k4vMoLaDDwJRSvtSgeQca3vEHqTXPBaDPjsmsfeZk9u3cYm1gQUxEGonIryKySkSWichwq2NSSqniatdtxKdj+tOtcQ2y8/LZMekylv32tdVhHVflKlaMMWOBesDTwFnANhH5XEROlWr2uE2dDUwp5WvhEVH0vuk9FvR8lmwTToeCZSx6awxz1utsLxYpBG71/q4fArwgIlEWx6SUUoeJi3Tw4TW9eaTuHM62/UHbWVezIIgePlzuG+yNMfnGmE+MMYOB9sBK4DVgs4hE+zpApZSqbnqcMZr9l05nYUgS9+WOZOSkVF765W/cbmN1aEHFGLPLGLPE+/1uPM8NS7A0KKWUKkVkaAjDr3+IRTGDCBUX3VJvI2XKc1aHdVxUdOriIm7AAILnQZFKKaXKoHHrJNrfNYtBPTriNjBh5jree/kBDuzZYXVofkNEBojI9yKyU0SMiJxbSpuxIrJZRPJEJFVEKtQbLiLdAbsxZltl41ZKqaoQGhZOl1u+YF7Nc7CJIXnlI8x59z6M2211aFWq3MWKiISJyAgRmQmsAzoBNwKNjTFZvg5QKaWqq4hQO09f0IVnLujMeaEpXHXwJQpf68/q1BlWh+YvooClwNjSNorIRcAE4GGgm7ftdBGpXazNEhFZUcpSv1ibBOB94NoqzEUppSrNHhJCz7HvktLQM/Fu382vMPeNsbhd1bdgKe/Uxa8BFwPbgHeAEcaYajnYWkTG4rlAVrb3SSmljmp4j0b0iDybrV98SWP3DhKmXkTK3zfT+5IHEVvw/goyxkwDpoFnWvxS3Aa8ZYyZ7G0zBjgDGAU86T1G0tHOISJhwDfAk8aYOWVoG1ZsVQyA0+nE6XQeM5/iitqXd79AF4x5a87B4Xjn3P2Kp0n5LI7k9c+TtPtLnvjwNMZddBoO+/G7ZlQ257LuV65iBRgDbAU2AgOBgaVdQIwxw8p5XL+jz1lRSh1Pzdr3JHvcHBa8dTU9Mn4mef0LLHk2lWZXv0dczTpWh+d3RCQU6A48UbTOGOMWkZ+BPmU8hgDvArOMMR+UYZd7gAdLrpwxYwaRkZFlOeV/zJw5s0L7BbpgzFtzDg7HNeeYrnwZP5rv0hL4bXUIc1+cwRWt3IQe5xszKppzTk5OmdqVt1h5H889KkoppXwsKqYG3W+dQuqXE0ha8SRJOXPZ9XI/0s5+m9bdTrQ6PH+TiOdeybQS69OAtmU8Rj/gImBZsfthLjPGLD9C+yfwDDsrEgNsHzJkCLGx5XtQm9PpZObMmQwePBiHw1GufQNZMOatOWvOVWso0Wv3kvLpUlYchLnb07l/xMlE10is8jNXNueMjIwytStXsWKMubLckSillCozsdnoPfwO1rfuQ/g3o2hodvPQV7/TJ7cJV/RteqThUKoCjDF/Uo6hvsaYfCC/5DBhh8NR4T9OKrNvIAvGvDXn4GBFzqd2rM/7o8J4+L0fuHf//zj0egKFo76hVoNmx+X8Fc25rPsE72BopZTyYy279CP2ljlMrnMP0wu789D3qxj78SIycvWp9177ABdQcoxcHWB3VZ5Yn8OllPI3vZvX5KUL2mDETjPXZlxvncLWNQusDssntFhRSik/FVujJleOGc+DZ7XHYRcWL1/Jtmf6s2HZUe8DDwrGmAJgIXBy0ToRsXlfz7UqLqWUskrLTsk4r5zOVmlAXfZR49OzWZ36k9VhVZoWK0fgnbt/FTDP6liUUsFLRLiqXzM+v64Pj0V+Sgf3Whp+eTapX0yo9nPri0i0iCSJSJJ3VTPv68be1xOA0SJyhYi0Aybime54chXHpdcHpZRfqt+0DTFjZ7HG0Y5Ysmk+dSSLfnrX6rAqRYuVI9BufqWUP+naOJ4eY99haURvwsRJ7xUPs+DFi8jJqtaTFfYAFnsX8BQni4FHAIwxnwF3eF8vAZKA04wxJW+69ym9Piil/Fl8Yl2a3PozSyL7EiZOkubeys/fvGt1WBWmxYpSSgWIuJp16XTHNFKa30yhsdEzfQZ7JvRjy+qFVodWJYwxvxpjpJTlymJtXjHGNDHGhBljehtjUi0MWSml/EJEVDSdbvueeTXPZZlpzk0pMTwxdTVud+BN6qvFilJKBRCb3U7y5Y+y7rSP2Us8Td3bqPXp6fz+yw9Wh6aUUsqPeJ52P5l5A98jl3De+H0jt366mPyCfKtDKxctVpRSKgC173M6tuv/ZEVYEltMHUbPdHLPV8vJc7qsDq3a03tWlFKBQmw2rj25ExMu7EKITWi28hXWPncaGekHrA6tzLRYUUqpAFWzTkPa3fkLv/d+kwIJ5ZN5Wzn/1T/Zvnmd1aFVa3rPilIq0Azr1pCPLmrEdSE/0Dl/EfteHMSe7RutDqtMtFhRSqkAZg8J4boz+vDeVb1IiApl0N4PiJs8gMUBPvuLUkop3+rdpRO7hn3BfmrQ3L0ZeftkNq9IsTqsY9JiRSmlqoEBrWsx9ca+nB65mhjJpWvKLaS8NpqC/DyrQ6t2dBiYUipQtegygPwrZ7DZ1ohaHKDWlHNYPnuK1WEdlRYrR6AXI6VUoKkbH0XrO2eRUvdSAJL3fM6mZwaye+vfFkdWvegwMKVUIKvftA3xN85meWgSUZJH+19HM/+LZ60O64i0WDkCvRgppQKRIzSM5DGvsaTfRDKIok3hGsLfOZGls/z7kzOllFLHT1xCLVrf/hOpcadjF8Oni/by1E9r/HJqYy1WlFKqGkoafAlZV8zi75BW1CCL1r/dwCvf/UWhq3o/9V4ppVTZhIVF0OuWj5nS6XW+dA9g4q8buOmTxX43q6QWK0opVU3Vb9aWxnf8TmriMB4tvIxn5xzi0rdT2ZOh97EopZTyTG08/PwRTLiwCw67kLp8DQuePZcDadutDu0fWqwopVQ1FhYeSe8bJ9PnwjuICrWTuukAt734Hiv+/M7q0AKW3tOolKpuhnVryPujevNC+Bv0z/+d3NdPYsvaJVaHBWixopRSQeGsLvX5/qb+9KgtPOF8hnYzL2fu5PG4Xf7V3R8I9J5GpVR11KdFTRqNeJGdUocGJo0anwxl5dxpVoelxYpSSgWL5rWi+eC6E9id0BO7GPpseZ0Vzwzh4N5dVoemlFLKDzRpk0T4mFmsC2lDHNm0+mkk87573dKYtFhRSqkgEhEVQ89bP2F+l0fJNaF0zltAwav9WDP/Z6tDU0op5QcS6jSk8W2zWBw9gFAppNei8fz1zniM25oJWqp9sSIiNURkgYgsEZEVIjLa6piUUspqPc+7md0X/sA2qU8d9tPihwtJ+egRyy5GSiml/Ed4ZDRdxn1Daj3Pc7vqbv6Wez5NIb/w+A8drvbFCpAJDDDGJAG9gXtFpKa1ISmllPWadehN/Lg5LIw5CYe4yF4zizEfLCA912l1aH5Nb7BXSgUDm91O7+teI7XTQ1xTOJ5Plx3ksknzOJRTcHzjOK5ns4AxxmWMyfG+DAPEuyilVNCLjo2n27gvmdPxYe5x38D01Xs58+U/WL493erQ/JbeYK+UCia9zx/HI1edSUxYCPM2HeCVF59gx8bVx+38lhcrIjJARL4XkZ0iYkTk3FLajBWRzSKSJyKpIlKuC4R3KNhSYDvwjDFmn4/CV0qpgCc2G30vuJW3rx9Cw/gIth3IYeUbV5H6+TM6LEwppRQntKrFF9f35byYNdyT9zzh75/K2oW/HpdzW16sAFHAUmBsaRtF5CJgAvAw0M3bdrqI1C7Wpuh+lJJLfQBjzCFjTBegGXCJiNSp4pyUUirgdG5Ygx9vOoFbm27lYvsv9F71GMteuRhXQa7VoSmllLJYm7ox3HflMDaHNKMm6bScNoK8rfOr/LwhVX6GYzDGTAOmAYiUOjrrNuAtY8xkb5sxwBnAKOBJ7zGSyniuNG8PywnAF6W1EZEwPMPFisQAOJ1OnM7yjeMual/e/QKZ5hwcgjFnCI68Ix1ww1VXM+fzNHqtf4nOGb/x8spBdB+QRf2E6HIdqzr/nJRSKhglNmhG5LjZLHvtQjrnpFJnz+9M/msz157YqsrOaXmxcjQiEgp0B54oWmeMcYvIz0CfMh6jDpBjjMkUkThgADDxKLvcAzxYcuWMGTOIjIwsT/j/mDlzZoX2C2Sac3AIxpwhSPKO7caXDe5l5fY97ApvxqK5v7OknHf75eTkHLuRUkqpgBIZXYMOt03l50n3cvvmHrxQJ6ZKz+fXxQqQCNiBtBLr04C2ZTxGE+BN8XTbCPCyMWb5Udo/gWfYWZEYYPuQIUOIjY0t4yk9nE4nM2fOZPDgwTgcjnLtG6g0Z825Ogu+vIfS71A2bX77jVOHlD/njIyMKopLKaWUlewhIQwc9Tg3fDGV/i2rdpJdfy9WKs0YMw9IKkf7fCBfRMbiuY/GBuBwOCr8x0ll9g1UmnNwCMacIbjyrlMjimhHxXKurj+jktcHpZQKVnUrNuioXPz9F+0+wAWUvCG+DrC7Kk+sU1MqpZQqjV4flFLq+PHrYsUYUwAsBE4uWiciNu/ruVV5bn3ol1JKKaWUUtayfBiYiEQDLYutaiYiScABY8xWPPePvCciC/AUDrfime54clXGZYx5FXhVRGKB9IqMvXY6neTk5JCRkVFth0OUpDlrztVZMOZdmZyD5Z4VvT6UXTDmrTlrztVVZXMu6+9OMcaU++C+JCInArNL2fSeMeZKb5sbgTuBusAS4GZjTOpxiq8BnodJKqWUqpiGxpgdVgfha3p9UEopnzjqNcLyYsXfeWcRqw/8wuHjk+cd5XXR9zF4LmQNgcxKhlLyfJVpe6Ttpa0vS57Fv/dlzkeLtbztNOejrz9aziVfz8MzFNOKnI/VtipzDrT/0/6Scwyw01TDi02x60MmZf+9UfRa/w/5z/+hYMz5aNvLk2PJ19Ul59LWBfvfAlX1e+yY1wjLh4H5O+8Pb4eIuI0x//RXHe110ffFHnKZWbxtRZQ8X2XaHml7aevLkmfx732Zc1lyKWs7zfno68v775t/fykd15yP1bYqcw60/9N+lHO1HQtWdH2Asv/eKHqN/h/ym/9DwZjz0baXJ8eSr6tLzqWtC/a/Barw99gx9/PrG+z9zKvleF1yW1WcvzJtj7S9tPVlzbMqci7PcTXnsm8vb84lX/vzv+9gzPlI2/0x5+qsPD9Lf/73FIz/h4Ix56NtL0+OJV9Xl5xLWxfsfwscj99jpdJhYFWo6OZ8IM4XVXYg0Jw15+osGPMOxpyPh2D9uQZj3pqz5lxdHa+ctWelauUDD3u/BgvNOTgEY84QnHkHY87HQ7D+XIMxb805OGjOVUR7VpRSSimllFJ+SXtWlFJKKaWUUn5JixWllFJKKaWUX9JiRSmllFJKKeWXtFhRSimllFJK+SUtVpRSSimllFJ+SYsVpZRSSimllF8KsToAfyciAtQHMq2ORSmlAlAMsNNUw3ny9fqglFKVdsxrhBYrx1Yf2G51EEopFcAaAjusDqIK6PVBKaUq76jXCC1Wji0TYNu2bcTGxpZrR6fTyYwZMxgyZAgOh6NKgvM3mrPmXJ0FY96VyTkjI4NGjRpB9e150OtDOQVj3pqz5lxdVTbnsl4jgqJYEZGxwJ1AXWApcJMxZl55jhEbG1uhi1FkZCSxsbFB9Q9Xc67+gjFnCM68q3vOen04voIxb81Zc66ujlfO1f4GexG5CJgAPAx0w3Mxmi4itS0NTCmllKX0+qCUUv4vGHpWbgPeMsZMBhCRMcAZwCjgyZKNRSQMCCu2KgY81aPT6SzzSZ0uN1v3pFOQdYA9u7YSGRlFSGg4oaHh2Oz2SqTj34p+RuX5WQU6zTl4BGPelck5AH5O5bo++NK+rHyycrLYt3srkZHRhISGERoWQUiIA7FV+88RlVKqzKp1sSIioUB34ImidcYYt4j8DPQ5wm73AA+WXDljxgwiIyPLfO49ufD2kgxSw2+Fvw/f5jR2nITwpXsgT3MFdoE4Ww6TeYhCQnASgktCKMRBoYRQKA5Wh7RjVvgQHDYIEzdD83/AbQvFbQvDbQ/DHRKBcUQijghMaCy28FhCbSBS5pB9aubMmdac2EKac/AIxrwrknNOTk4VROIbFbk++OrDLIDHflxDvzVTqLf2hsPWu41Q4L0ODLM9T7qjFqF2G5e5vuaUwt8pFAcumwOXhOKyOXDbHLhtoXxbZyy54bUJtdton51Ks+wlYA8DuwMJjUTCY7CHxRASEYOzfk/Co+OJCrMTZS8kOtROaFjEcSmStOAPDppzcKhszmXdr1oXK0AiYAfSSqxPA9oeYZ8n8AwLKBIDbB8yZEi5xiT/vSeLz1Z9T4GxEyquw7Y5xIUDF8YYMgs91YSdQpqHF5sIwRz+dWdBBH+ley4kERTwRvjnRzz3dFcPrnPeht0mxITa+U5upcAWTr49moKQGJyOaFxhNTCRiThrtqWg+SkkRoVRMzqUmuFCaFjYEY99LE6nk5kzZzJ48OCgGrOpOQeHYMy7MjlnZGRUUVQ+UZHrg08+zALYk2YjRAxuI9jk3xk7bWIIw0kYTvbnGvbn5gMQHrKL5iGbPY1c/z3erfvPYZvxXPjvDvmNviHfH/Hcp+c/wWrTBICx9m+40/E5TmMnh3DPIhFkSTQ5tmi+CL+Q9LD6RDkMjc0uGrIbHFFIeCz2iHhCHKHlyruIFvzBQXMODhXNuawfaFX3YqXcjDH5QH7Ra/F2TTgcjnJdqNs3iGfa/SOYOjWO0087DWNcOAvycebnUej0fB1gC2daaAJOlxtnfi4rdn+Iy1mAcebjLszH7czHFObjduYRHtqQW2Naket04crNYt7WodhdudhdeTgKcwhzZRHuzibKZHPI82EfLrchLy+bxuE7PRc3F1BweJwzNnTn2r9qFmXPmrAryZVQDtriyXDUJjeqAa7YhjgSmhLRoAMJLXtQOyYcu+3oXTbl/XlVB5pz8AjGvCuSczX8GfnkwyyAwU4nM2e6yRv8CYLBmZ+H0/nvNaKwII8PIhtRYISCQjf2gwksybwIt7MAtzMfV2EBFObjdhVAYQFX1OpGNhE4XW4S9g9gbnok4ipAXAXYC3MIKcwh1JVNqDuHqLhEEgtDyc4vJNrkAp4P0eLIJo5sT4AGcMEjB85ntfF8UHaDfSEXOT47LI90ojhgSyTTkciMBjfirtWOOrFhNA45SKOIAmo3bkNEVMw/7bXg15yrK825YrOBlUV1L1b24fkTvU6J9XWA3ccrCLHZCHWEERZ+tE/eakCLs8px1E+OuOVCYzjL6SIzr5CM7FzWbP+S/KxDOHMO4spOx52XjuTsx5a7nzRbCzpILPuy8snPOkS4OAnHSaw7G/K3Q/4iOABshpnzu3GG8w5CbEL9uHBeME/ijGkEtdoS3bAD9Vp2ISZe70tVSgWEcl8ffPVhVnFF+0ZERh2jZa2jbj183Fo74Nojtv2i2PeFzlNIz84gN/MQednp5GcdoiAnnYLM/RRm7efsuGR6F4RxMKeAxD31+Du9JVHuDOLdh4iQAk+B486G/C3cuTqNtas8PfM32L9lkLew2UMC+xz1yY5qhDO2Mfk5DranJdG8cSNC7MFzf45+yBEcNOfy7VcW1bpYMcYUiMhC4GTgGwARsXlfv2JhaFVKRIgMDSEyNIQ6seFQ75Qjtu0FXOb93u1yc+hgf9L37iBz/w5y9m7BdXArIRnbiMzZyRbThhCXUOg2ZBzcQ7fwVMhLhb3AKmAGHCSGptKAmXsXUdD9Wjo3jKNpzShsx+iJUUqp4ylYrw8lhTgcxNWoSVyNmqVu733Yq654Jk4D43aTfmg/B9O2kLlnK7kHdjAsui/bsm3sTs+ndlo4GTlRxJJNbQ5Q23kADq2AQ54jnfFmff62N6dlrWjOjl5DUug2Iht2pknnE4irWbJ+VEoFs2pdrHhNAN4TkQXAPOBWIAqYbGVQ/shmt1EjsS41Euviue/0cB2Aq9yGtIw8du7Zx7yVj+JOW0NE+npq5W2mrnsP8ZJJvFnDos1NeHj9EgBqhxfyTtgEMhM6E96sN817nEpcwtE/JVRKqeNArw8VJDYbcQm1PL/L2/UAPB9+/asH8BLp+9NI27KajJ3rcO7dgP3QJqLS17M9pCEFTjerdmUwMuRHkkNmwwbgN9hqa0BabGdMgx4ktjuBJm27Yw8Jhj9XlFKlqfb/+40xn4lILeARPA/9WgKcZowpeVOlKgO7TahfI4L6NRpB65sP25abncnWtYtZ9scP5NfqQbdDNVi5M4Mm+evpyBLYtQR2vY/7L2F9SHP2JfYkvPUgWicPJTKqfOO9lVKqsvT6UPXiatbx9JR0OxHwjHGfOnUq8047nd1ZTtbszsS2dB0LdxpqZ6+jkdlJY/cOGh/aAYemwUroZybRqmlj+rdMZGBjBy0bNdDpnZUKItW+WAEwxrxCEHXrWyUiKobmnfqwZttBrh46lDEOB06Xm42bWjJvqQ12LKTOocU0cW+npWsDLdM2QNqnPPPrCFY0G8VJbWtzUptaNKp5rLHbSinlG3p9sIbNJjSpGUWTmlHQYRwwDoCDe3exdflv5GxIIWbfYsjLYEd+BDvW7uXXtXtp4/g/4u3b2RSXTEiHs2jb75zDbuBXSlU/QVGsKOs47DbatGwFLcf9s27fzi1sXjwD14bfaXQwhZmFSaxbt5ff1u0l1ZbCuMhp7G96Jk0HjqRuo5YWRq+UUup4iq9Vj/iTLoaTLgbA5XLzY1omc9bv56+/0+i0dTM1yCIx/SeY8xO5f41jcVRPCtucSbtBI4iOjbc4A6WUr2mxoo67xPpNSKw/GhiNcbt5dU8Wv6zdy6w1ezhrewqtCv+m1frnYf3zrHa0J7PNcDqcOoqomBpWh66UUuo4stttdKgfR4f6cYwe0Jy83L9ZsWAmWct/oMme2dSTvXTN+QsW/0XKog/5tN2rDOvWkH4tE485xb5SKjBosaIsJTYbrerG0qpuLGMGtmB/2mRSf/uY6PXf0S5/Be2cq2DFw2Qtf5rUxFOJPucZOjTW6ZGVUioYhUdE0vGEc+CEczBuNxtWpLBn/pc03D6V75zJfLNkJ98s2UnzGBeP1/mNlkNvolb9plaHrZSqBC1WlF+pWachNS+8C7iLPTs2sXHWZBpsnEIjdhK+dxlnvDafbo1rMGZgC05pV0enRFZKqSAlNhstOvelRee+GPczDN+6H/uSNL5ftpMBOT/RZ/v7ON+YzMLYAUSdMJY2PU7WG/OVCkBarCi/VbtBM2pf9gjG/RAr5v7Ib6vTcGwSFm09xO0f/MGnUc+S3XEkSUNHExoWbnW4SimlLCI2G12b1qJr01rcf2Z7Fs8+xOp5C2nnXEn3zNkwdTZrZ7Qhr+8ddD7xAi1alAogWqwovyc2Gx37nUXHfnBxZh7v/rUZ29yX6eBaA0v/x+6lL7It6Va6nTlG5+JXSqkgFxpio/fgC2HwhWxYNof9s1+h84EZtClcC7+PZu2cZ9hxzpcM6tgIEe2dV8rf6UcLKqDUjgnnrtPact24R0hpfjN7iacue+m55D62/l93ls6egnG7rQ5TKaWUH2jRuS+9bvmYrOsXk1L3UnJMGOvzazDqo+Wc/cpfpG7cb3WISqlj0GJFBaSYGjVJvvxRYsavJKXFLWQQRTP3Zrr8dg0rnxzEmm17rA5RKaWUn0is24jkMa+RN3YxW3rcR1SoneU70rn1zR+Z/+x57Ny02uoQlVJHoMWKCmjhEVEkX/YI5ibPp2b5xsHfuVGcMXEBj3y/iqz8QqtDVEop5ScSajfghnNO5Pe7BnFp78aMd3xKz6xZJL7bn7lv3EROVrrVISqlStBiRVULcTXrkDzmNQ6M+ou5LW/D5Ta889cmLnn+W1bOmWp1eEoppfxIzegwHj+vE10ufpDlYV0JlUL67Hqfg8/1ZMWf31kdnlKqGC1WVLVSr0kbnr7iFN4b1YsGceHclP0qHWaMIOW10eRmZ1odnlJKKT/SrENvOo6fxZJ+E9lNIg1MGh1/vox5L40k45Dez6KUP9BiRVVLA1vXYvotfYirVR+A5D2fs+/ZXqxdMMviyJRSSvkTsdlIGnwJUePmk1rzXAB6HfieL166iz//3mdtcEopLVZU9RUdGUmvmz9k2cBJ7CGBRmYnzb6/gNTPntQZw5RSSh0mJi6B3je9x8ohnzDP3pVncoZy2TupPDt9LYUuvWYoZRUtVlS113nQBYTdPI9F0QMIFRe9Vz/BwhcuJDcrw+rQlFJK+ZkOfYfSafwvnNe7NcbAq7PX8cOEa0nbvt7q0JQKSlqsqKAQl1CLrrd9S0qr2yg0NuocWsJlb/7B5n3ZVoemlFLKz0SE2vm/8zrx8oiujA37iXOzpxD29kCWzvrc6tCUCjparKigITYbyZc+yNpTP+Jux10s2ANnv/In8zYdsDo0pZRSfuisLvUZcfn1/G1vSQ2y6PTbtaR8+JAOJVbqONJiRQWdDn2HMuGWy+nauAYZeYV89s5zLJ422eqwlFJK+aEGLTrS+M4/SE04G5sYktc/z/yXLqUgP8/q0JQKCgFZrIhIUxGZJCKbRCRXRDaIyMMiElqiXWcR+UNE8kRkm4jcZVXMyr/UiQ3nk9HJXNMinSdtE+mSMo6UT/7P6rCUUkr5obDwSHrd+B4pbe7CZYReh6ay/tlTOLh3l9WhKVXtVapYERGbiAwSkQe8xcMnIvKSiFwlIo18FWQp2uKJ/TqgAzAOGAP889emiMQCM4AtQHfgTuAhEbm2CuNSASTcYeeeqy5kUeJZnk/L1j7F3DfGave+Ukqp/xCbjeQR97HyxLfJNBG0KFjD3W9/x5b9eu+jUlWpQsWKiESIyP+AbcBU4HSgBuACWgIPA5tEZKqIJPso1n8YY34yxlxljJlhjNlojPkOeBYYVqzZpUAoMMoYs9IY8ynwEnCbr+NRgcseEkKvsZNJaToWgD67PmTea1drwaJUANPed1WVOg+6gAMjpvJI2O1MT2/IBa/PZfUunV1SqaoSUsH91gFzgdHATGOMs2QDEWkCXAJ8KiKPG2PeqniYZRIHFL9Tug/wuzGmoNi66cB4EYk3xhws7SAiEgaEFVsVA+B0OnE6/5PmURW1L+9+gSxQc+5+6cOkfFuLXssfpve+r5j7mo3uo19DbMeu5wM158oIxpwhOPOuTM4W/pyK976vBzoCbwFRwB1wWO/7z3h65jsB74jIIWPMm1YErQJHk7bduOWm9iycNI81uzO5540pPDG0Me16DbY6NKWqnYoWK0OMMauP1sAYswV4QkSeBRpX8DxlIiItgZvwXoS86gKbSjRNK7at1GIFuAd4sOTKGTNmEBkZWaH4Zs6cWaH9AllA5uxozlfxV3PBobfps+8LXn6xPo1a90CkbLsHZM6VFIw5Q3DmXZGcc3JyqiCSYzPG/AT8VGzVRhFpA1zPv9eJ4r3vBcBKEUnC0/uuxYo6ptox4Xx2XR/umjSVh/c+StyP2SzNfo0ug4ZbHZpS1UqFipVjFSol2jqBDWVpKyJPAuOP0aydMWZNsX0a4LkoTfFR780TwIRir2OA7UOGDCE2NrZcB3I6ncycOZPBgwfjcDh8EJr/C/ych5LyTX3WLE3huQO9GWVryt2ntUaOUrEEfs7lF4w5Q3DmXZmcMzL8amhMpXvftee98qpb3pEh8MzIE9j0ekvq5s2n/a/XsSAvmy6nXPpPm+qWc1lozsGhsjmXdb+K9qz8Q0Q6H2GTAfKArcaY/DIe7jng3WO02Vjs3PWB2cAcoOSN87uBOiXW1Sm2rVTeWP+Jt+iPVIfDUeE/Tiqzb6AK5JyTh9/OxsZb4evlvDNnC9FhIdx2attj7hfIOVdUMOYMwZl3RXL2l5+RD3vftefdR6pb3q5W15Oxys4JrhS6pNzG1xs3Edaw22FtqlvOZaE5B4eK5lzW3vdKFyvAEjyFyZE4ReQz4DpjzFEnJTfG7AX2luWk3h6V2cBC4CpjTMk7oucCj4uIo9g9NYOBtUe6X0WpIpf0bozL7ebRb5fQ6s9bmJc5hF4X3G51WEoFNT/ofdee90qqznkXnn4aC14bSY+sWZy752WWt3yJziddVK1zPhLNWXMui7L2vvuiWDkPeAp4BpjnXdcLuB3PrGAhwJPAYxz+qVaFeS8+v+KZlvgOoFZRD4gxpqjX5GM8n4BNEpGn8NxgeQueaY6VOqbL+jSl9oYvOHV9Cq7lqSyNb0CXky+2Oiylgpmlve/a8+471TFvh8NB0i2fseCli+iROYtOc25meVg0nfqd8c/26pbzsWjOwaGiOZd1H18UK/cBtxhjphdbt1xEtgOPGmN6iUg2nouMT4oVPD0kLb3L9hLbBMAYky4iQ4BX8fS+7AMe0VleVHkMueQ25r+0gJ6HptHq95tZF1+P1t0GWh2WUkFJe9+VvwtxhJJ082csfHE4jowtXDvTyVO191kdllIBzRdPsO+Ep4ejpC3ebeAZKlbPB+cCwBjzrjFGSltKtFtmjDnBGBNujGlojHnKVzGo4CA2G0k3vMey8O5ESj6J341kx8aVVoellDqKYr3vW/m3972uiNQt1uxjoABP73sHEbkIT+/7hJLHU6o8QhyhdL5lCu+2fJF9rkjGfrKETZlWR6VU4PJFsbIGuLv4w7ZExAHc7d0G0IB/b1xUKqA4QsNofsOXbLA3J4EMCj+8kMz0A8feUSlllaLe95Px9L7vKrYAnt53YAjQDE/vy3No77vyEYcjlCcvOYET29Qiz+lm35o/2LxqvtVhKRWQfFGsjAXOBLaLyM8i8jOei8OZeOa0B2gOvOaDcylliejYeOKu/oY9JNDEvZ11b16O2320eSWUUlbR3nflD0JDbEy8tDu31VrIYyFvUePrS9i5ac2xd1RKHabSxYoxZg6eT6YeAJZ5lweAZsaYFG+bD4wxz1T2XEpZKbF+Ew6eOYndJoFnDw7gldnrrQ5JKaWUH4sItXPpZdewgYbU4iDu989h3+5tVoelVEDxRc8KxphMY8zrxpjbvMsbxhgdoamqnTY9TuLP039mrrsDz/+8jl9W6+hGpZRSRxYbX4tFre9kp9ShodlN+ltnkX5Qb7pXqqx8UqyIyGUi8qeI7BSRJt5140TkHF8cXyl/ckFyCy5LboIx8OKnP7J9wwqrQ1JKKeXHQqPicV48hX3UoIVrEzteO4e8nCyrw1IqIFS6WBGR6/HMnjINiAfs3k0HgVsre3yl/NH9Z7bnivrb+Ih7sX0+kkJn/rF3UkopFbTqN29P+rBPyDQRtHeuYO3L51PodB57R6WCnC96Vm4CRhtjHgcKi61fwL9TFytVrYSG2LjpwqHkSgRN3NuJX/uh1SEppZTycy0692Xb6e+Sa0KZkdGY+75ZhTE6WYtSR+OLYqUZsLiU9flAlA+Or5RfSqzbmL1DXsVlhJOcv7F46ttWh6SUUsrPtU8+jXlnzmCi+1w+W7id52euszokpfyaL4qVTUBSKetPA1b74PhK+a0OfYeS2miU5/tFD7F9vd6/opRS6ugG9uzKo+d2BODtWSuY9d37FkeklP/yRbEyAXjV+/RfAXqJyH3AE8DTPji+Un6t6yWPslTaEiV55H1yOQV5uVaHpJRSys9d2rsJdwyszyehjzFw4c0smq4Fi1Kl8cVzVt4GxgOPAZHAx3geBnmLMebTyh5fKX8X4ghlXcsxHCKalq4N/Pbh41aHpJRSKgCMPbUL+YkdsIuhw5zbWJUy3eqQlPI7vnrOykfGmFZANFDX+yTgSb44tlKBIDQ6gQ19nuKtwqHcsL4nv67dY3VISiml/JzYbHS7/h0WR/YlTJw0/OkqNq1aYHVYSvkVnxQrRYwxOcYY/StNBaXOJ13Ejl7/w0kId32xjIPZBVaHpJRSys+FOEJpO/Zz1jjaE0s2kZ9fyO5t660OSym/UaFiRUQWi8iisiy+Dlgpf3b36W1pUSuKA5nZfPnhKzolpVJKqWOKiIqh3phv2GJrRB32kzf5XNIP6Ge/SkHFe1a+Ab71LtOBFnimKv7Vu+R51+ngSxVUwh12nh/eic9CH+OaXQ+z8Me3rA5JKaVUAIirWYewK79mDwlEuTJ46KOfyXO6rA5LKctVqFgxxjxctAC1gJeMMX2MMbd5l77AC0AdH8aqVEDo3LgmBU1PBKD1godI277B2oCUUkoFhLqNW5F14edcLo/x9Y44rv9wIQWFbqvDUspSvrhnZThQ2nx7HwLn++D4SgWcHiMfY11Ia2LJZs8H1+B26cVGKaXUsTVv35OHrziTcIeN2Wv38vR7X1Do1HsgVfDyRbGSC/QrZX0/PMPBlAo6jtAwwi98i1wTSqf8Rcz/4hmrQ1JKKRUgejVL4M3LenByyDLu2HoDi1+5FLdLh4Sp4OSLYuUFYKKIvCQiI73Ly8CrwPM+OP5RiUiYiCwRESMiSSW2dRaRP0QkT0S2ichdVR2PUkUat05iadtxAHRa9Rw7N6+1OCKllFKBYkDrWtw4oBEhuOiZPoP5r43CuLWXXgUfXzwU8kngCqA78JJ36QZc5d1W1Z4GdpZcKSKxwAxgize2O4GHROTa4xCTUgD0unA8qxwdiZR8dn96k84OppRSqsy6DhnJkp5P4TZC7/3fMG/iaO1hUUHHVw+F/NwY088Yk+Bd+hljPvfFsY9GRE4HhgB3lLL5UiAUGGWMWWmM+RRPIXVbVcelVBGb3U7MRa8z192BO9Mv4PMF26wOSSmlVADpcea1LOzyMAC9937Bglcuw1VYaHFUSh0/IRXZSUTEWPwRsYjUAd4CzgVySmnSB/jdGFP8rrTpwHgRiTfGHDzCccOAsGKrYgCcTidOp7NcMRa1L+9+gUxz/q+6Tdry40nvseGndTz6w2r6NIunXlz48QzR54LxfYbgzLsyOfvDz8n7Oz0V6AJ0NcYsKbatM54hyz2BvcDLxpinrYhTqaPpOewW5tvsdFv8P3od/JEFLw6ny02f4ggNO/bOSgW4ChUrwEoReQT4qkQxcBgRaYWnJ2OLL4eEiYgA7wKvG2MWiEjTUprVBTaVWJdWbFupxQpwD/BgyZUzZswgMjKyQvHOnDmzQvsFMs35cHUMNIm2syWrkMfe/Jih7eogNjmO0VWNYHyfITjzrkjOOTmlfY503BUNFe5SfGWxocI/A2OATsA7InLIGPPmcY9SqWPoee6NLAqLomPK7Ww/lMcbHy/m5Ut7Eu6wWx2aUlWqosXKTcBTwGsiMhNYgOdikAfEA+2B/kAH4BVgYlkOKiJPAuOP0awdnqFfMcATFQn+GJ4AJhR7HQNsHzJkCLGxseU6kNPpZObMmQwePBiHw+HLGP2W5nzknNv0zGL26+MYk/8NC3mcrkMD9/apYHyfITjzrkzOGRkZVRRV2RQbKnw+cHqJzcWHChfg+RAuCc8HbFqsKL/U7fSrWBDbkPum5ZG9Zj9XTZ7P65d1Jy4iOH4fqeBUoWLFGPML0ENE+gMX4fml3wSIAPYBi/E8e+WjIw23OoLn8PSYHM1G4CQ8w7zyPZ0s/1ggIh8ZY64AdvPfh1IWvd59pIMbY/KB/KLXRcd3OBwV/uOkMvsGKs35v9o3iCejRX3smw1tlj5Oep+zSKzb+DhG6HvB+D5DcOZdkZyt/BlVxVBhHSZcecGYt69z7tLrRN6odYDrPlxM6sa9zJhwNb0vupN6Tdr65Pi+oO9zcKhszmXdr6I9KwAYY/4E/qzMMUocby+eccNHJSI3A/8rtqo+novMRXjGJgPMBR4XEYcxpuinMRhYW84CSimf6X7Jg6x/6idaujaw6IOx1LzjO0oU3EqpSqrCocI6TNhHgjFvX+d8Q1uQNd8w3PktBz6YxZf1xxJRt71Pz1FZ+j4Hh4rmXNahwpUqVqxijNla/LWIZHm/3WCM2e79/mM8F5VJIvIU0BG4BRh33AJVqgRHaBhyzis4vzyTbtm/s/Cnd+l++lVWh6VUQPCDocI6TLiSgjHvqsx57852rH9/KS1dGxi+8ylSHdfR/ZKHsdmtvY9F32fNuSzKOlQ4IIuVsjDGpIvIEDwzvSzEMzztEb1xUlmtRee+pMy7kuTtk2iW+gAHe5xGfK16VoelVCCwdKiwDhP2nWDMuypyrt+kNXm3/868t66l18Ef6bv1dZa+uJgGV0wisW4jn56rIvR9Dg4Vzbms+/jkOStWM8ZsNsZI8SkpveuXGWNOMMaEG2MaGmOesihEpQ7TbeTjbLY1JoEMNnxwo9XhKBUQjDF7jTFrjrEUADfjmf0rybsM9R7iIuA+7/dzgQEiUvxqqUOFVcAJj4ym1y0fM6/Tw+QbB11yU7G/3oe5M6bog4hVtVAtihWlAk1oeAQFZ77CIRPFl/ubMHPlEed8UEqVkzFmqzFmRdECrPNuKjlUuADPUOEOInIRnqHCE0o5pFJ+r9f5t7L9gh/YYG9GpMnjf7MPMubDhexKz7U6NKUqpdoOA1PK37XuNpBnd37PJ3/u5pdvVtCrWU3iIoOr61gpq+hQYVUdteiUTEHrFL7+8Xu2LIhiw8o0fl+3j2c67+DkoRcSERVjdYhKlZtPelZEpIWIPCYin4hIbe+600Wkgy+Or1R1deOpSTSvFcWezHwe/26R1eEoVS3pUGEVTELDwrlo2HC+u7E/PZrE06pwHWeuvI3cZ9oz9/37yUw/YHWISpVLpYsVERkILAd6A8OAaO+mLsDDlT2+UtVZuMPOMxd04QTbcm5ZPYIlP39qdUhKKaWqgfb1Y5kypg93D6rHTqlDAhn02fgS7uc7MvedOzm0T4cfq8Dgi56VJ4H/GWMG4xn/W2QWkOyD4ytVrXVvEs8NjbfQQPbT4M+7ST9wzEcNKaWUUsckIvQdMpza965gftcn2GprQBzZ9Nn6JpEvd2Dhs+cwd/la3G69EV/5L18UK52Ar0tZvwdI9MHxlar2ul7+DFttDajFQda9N9bqcJRSSlUjIY5Qep5zAw3uXcbCXhNYb29BqBTSMHMJIz9aywlPz2bCzHVs3LrN6lCV+g9fFCuHgNIeEtEV2OGD4ytV7YVHRpNz+su4jNAzfTpLftHhYEoppXzLHhJC96FX0/L+Raw/70d+bn43keFh7DiUy6u/rCFmUj/WP9qNlA8eYPe29VaHqxTgm9nAPgWeEpHhgAFsItIPeBZ43wfHVyootO15MnMXjqDP7o9p8MfdpHc9mbiEWlaHpZRSqhpq2aU/Lbv053yni+krd7Mo9Tdq7MyiliudlhtehA0vstrRgYyW59Bq0EgSajewOmQVpHzRs3IvsAbYhufm+lXA78Ac4DEfHF+poKHDwZRSSh1P4Q475yQ14OHrLiHrxpWkdrifVaGdcBuhnXMlvVf/H7GvdmTyiw/wxcLtZOY5rQ5ZBZlK96x4nxY8WkQewXP/SjSw2Bjzd2WPrVSw8QwHewnXDxew58BBZq/azqD2Da0OSymlVBCIr1WP3sPvAO4gbfsGNv/6AQmbv6dV4Xq+2l2L5VOWcu/XNq5ols7Q+rm0Gzic8MjoYx5Xqcrw2UMhjTHbgG0iYgc6iUi8Meagr46vVLBo2/MU3tr8Po8vtFP76zXMbFpHHxaplFLquKrTsAV1Rj4EPMS29SsYvDmU3GW7WL8ni9abPqLrtt/JSrmH1JqDqXvq7TRpk2RxxKq68sVzVl4Qkau939uB34BFeAqXEyt7fKWC0WXnnvHPwyIf+WGV1eEopZQKYo1aduTmU1ozc9wApt58AnWatmM3tYiWXHof+I4mnwxk6VNDWJXyk9WhqmrIF/esXAAs9X5/FtAcaAs8Dzzug+MrFXSKHhaZKOkMWn4nS37+xOqQlFJKBTkRoX39WAZc8zS171/LyiGfsDiyL24jdMlNpf1PFzHn6fNYuTPD6lBVNeKLYiURKHoM6lDgc2PMOuAdPPewKKUqoHuTeF5oNp8z7ak0/vMu9u3eanVISimlFAA2u50OfYfS9a5p7Bj5G6kJZ+M0dman1+XciSm8u87G5v3ZVoepqgFfFCtpQHvvELDTgJne9ZGAywfHVypo9bz8cTbampJABjvfHYVxu60OSSmllDpMo1Zd6H3zB6Rd/gcH2l8BwOL9Nh59+Q1SJo4hK0NvYVYV54tiZTLwObACz3NWfvau741nSmOlVAWFhUdiGz6JPOOgc958Uj970uqQlFJKqVI1bNGB5y5N5tsbkukQ5+RB+2SS0z4hd0JXFk3/wOrwVICqdLFijHkIuAZ4E+hnjMn3bnIB+peVUpXUtF0Plra7HYCuayawadV8iyNSSimljqx9vViubS9kDHiQ7VKXWhyk29wbWfjcuRzYs8Pq8FSA8UXPCsaYL4wxzxtjthdb954x5ltfHP9IROQMEUkVkVwROSgi35TY3lhEfhSRHBHZIyLPiIjPpmtW6njpdeF4lkb0Ikyc8MU15OXqOGCllFL+rePAC0i8axFz619BobHRPXM28loyC398W4c1qzLzSbEiIlEiMlRExojIzcUXXxz/COc8H/gAzzC0LkA/4ONi2+3Aj0Ao0Be4ArgSeKSqYlKqqojNRoMr3uEAsThcWbz1/e9Wh6SUUkodU3hEFH2ufYlN533HRltT4smg+/zbefXtN0nPcVodngoAle5lEJGuwFQ8N9RHAQfwzBCWA+wBXqrsOUo5ZwjwInCnMWZSsU3FH0gxBGgPnGKMSQOWiMj9wFMi8pAxpsDXcSlVlRLrNmL+kMlc/d0BMha5ad52F2d0rmd1WEoppdQxtUo6gYJ2qcz96H4OblrKsxsb8vGLv/PCxV3p1SzB6vCUH/PFkKjnge+BMUA6kAw4gQ/xFBRVoRvQAHCLyGKgLrAET/GywtumD7DcW6gUmQ5MBDoAi0s7sIiEAWHFVsUAOJ1OnM7yfQJQ1L68+wUyzblqJfUcyMUH1/HmH5u564ultEwIpXmd2Co/b0nB+D5DcOZdmZyD6eeklDq20LBw+ox6hqVbD9L0syVs3p/D6Dd/5qXWy+g78gEcjlCrQ1R+yBfFShJwnTHGLSIuIMwYs1FE7gLeA77ywTlKau79+hBwG7AZuB34VURaG2MO4Clg0krsV/S67lGOfQ/wYMmVM2bMIDIyskLBzpw589iNqhnNueq0NdAi2kav3F9wvX0P33e8B7sj7Ng7VoFgfJ8hOPOuSM45OTlVEIlSKtB1aRzPjzefwEPfreSEZeMZuGUua57+hRqXf0jdRi2sDk/5GV8UK06g6C6pPUBjYDWeXpZG5TmQiDwJjD9Gs3b8e6/N48aYL737XgVsB4YDb5TnvCU8AUwo9joG2D5kyBBiY8v3CbbT6WTmzJkMHjwYh8NRiZACh+Z8fHJO7pVG6Js3ksghsrdOocvYDxGbT25BK5NgfJ8hOPOuTM4ZGdY+xVpEzgAeADoDecBvxphzi21vjKe3fRCQhecDtnuMMYXHP1qlgktUWAjPDO/CwsgLyJi/lLbOVRycNJBlg16i88BhVoen/IgvipXFQE/gb+A34BERSQQuw/PslfJ4Dnj3GG02AkUD9f+5R8UYky8iG/EUSwC7gV4l9q1TbFupvFMvF02/jIgA4HA4KvzHSWX2DVSac9WqX78hKwe/RvyMS+mZMYN5379KrwtuOy7nLi4Y32cIzrwrkrOVPyPvJCxvAfcCs/Bc7zoW2140CctuPJOw1APex/MB3L3HO16lglX3M65hR7t+7PnoUlq6NhA3axQpf/9Jzyufxh6iE7gq38wGdi+wy/v9fcBBPJ9U1QKuLc+BjDF7jTFrjrEUAAvxFBRtivYVEQfQFNjiXTUX6CQitYudYjCQweE34isVkDr0O4N5zccCkLT8cdbM//kYeygVHEpMwvK6MWadMWaVMebzYs2KJmEZaYxZYoyZBtwPjBURHTiv1HHUoHk7Gt7xB/NqnoNNDMnbJ7H6mZPZl7b92Duraq/SJasxZkGx7/cAp1X2mGU4Z4aIvA48LCLb8BQod3o3T/F+nYGnKPnAe/9MXeAx4NViD65UKqD1HvkIi59bTNecv6j14yh21/mFuo1bWR2WUlarkklYdAKWygvGvDXnsrGHhNJ1zCTm/ZhMx8UPkZi3hUvfSuWBixz0aur/s4Xp+1zx/Y8lkPvX7gQK8TxrJQJIBU4yxhwEMMa4RORMPBeeuUA2nvHID1gTrlK+Z7PbaX39x2x4/kRauDex4b0LybntdyKjYqwOTSkrVdUkLDoBi48EY96acxlJAzY1e4gZmwtYmxXOZZPmc0ZjNyfVc2Ozie+D9DF9n8uurJOw+OI5K3WAZ4GTgdrAYf+SjDH2yp6jNMYYJ3CHdzlSmy3A0Ko4v1L+IiqmBpFXfM6+yYP5Mq8nG75cw8SRPQLil7pS5eEHk7DoBCyVFIx5a84Vy/m0gkIe+G413y7dhX37XJplLqThlZOJS6h97J0toO9z+XMu6yQsvuhZeRfPTe2P4rl3xfjgmEqpcqjXpDWLL/2Nt99dTcGqPTz8/UoeOrvDPxNEKFVNWDoJi07A4jvBmLfmXD5xDgcvXNyV/k0iOWX6dcTnZrJr4kA2nj2JNt0G+jhS39H3uXz7lYUvipX+wAnGmCU+OJZSqoK6tmrKM8Md3PLpEr6Yu4a+ObM4dcTNVoellM8YY/YCe4/VTkSKT8Lyp3ddaZOw3Ccitb33W4JOwqKUXxERhvdty/qoz8j+ZhQNzW5qfnseKWvvoPdFdx/XKfuVdXzxLm+jxNAvpZQ1zklqwCNDm/Np6KOcuvZ+Uqc8Z3VISh13xpgMoGgSliEi0gbP/YtQ+iQsXUTkVHQSFqX8Ussu/Yi9ZQ6Lok4gVFwkr32Kxc+dQ/qh/VaHpo4DXxQrtwJPikhTHxxLKVVJlw9oR1ajQQD0WPEoi6e/Z3FESlniTuBTPJOwzAeaUGISFuBMwIWnl+VDPM9Z0UlYlPJDsTVq0vX270hpcxcFxk637N/JfLEvyzfttDo0VcUqVKyIyEEROSAiB/BcDE4ENohIZtH6YtuVUsdZ8tUTmJdwFnYxdJhzG8t/+8rqkJQ6rowxTmPMHcaYOsaYWGPMYGPMyhJtthhjhhpjIo0xtbzt9en1SvkpsdlIHnEfm8/5mp1Sm++cvRj29hIm/7UJY/SW6eqqoves3OrLIJRSviU2G91veJdFz59Lt+w/aDNrNEtdBXQ56WKrQ1NKKaUqpXW3gaQ3m8vy7zfgXLWPh79fxZp1a7j33J7ExSdaHZ7ysQoVK8YYHVeilJ+zh4TQ8eYvWPzS+XTN/pN2v93AwkJD9yEjrA5NKaWUqpS4+EReu6wm787ZzDNTlzNi0//IfimbtLPeorUfzxamyq/C96yIiE1ExovIXyIyX0SeFJEIXwanlKqc0LBwOt7yFQtjBnGIGO76NYfvl+r4XqWUUoFPRLiqXzO+vLQpte3Z1DdpNP32PFI+fhTjdlsdnvKRytxgfx/wf0AWsAO4BXjVF0EppXzHERpG0i1f8HqrN9ngrsstny7m8/nbrA5LKaWU8ol27TsTdXOx2cLWPcuyZ05lf9p2q0NTPlCZYuVy4AZjzKnGmHOBs4BLRUQnvVbKz9hDQrjvkiFc1KMRbgMzvp7M3Ddvwe1yWR2aUkopVWlx8Yl0vf07UtveTb5x0CV3HkzspxPMVAOVKSwaA1OLXhhjfsbz9Pr6lQ1KKeV7dpvwxLBOjO9fgxcdr9Bn57ssef488nKyrA5NKaWUqjSx2eh98T3sGP4jm2yNqckhXL88yv/9uJKCQh0WFqgqU6yEAHkl1jkBRyWOqZSqQjabcP2Z/VjV9QHPPPVZv7Flwkns263DwpRSSlUPzTv2pt4dc/mr1oXc6hzLm39sZtjEv9i4Vz+cC0SVKVYEeFdEvipagHDg9RLrlFJ+pue5N/L3qR+SThRtCtfien0gq1J+sjospZRSyifCI6PpN/Yt7h15JjUiHazYkcEPL49j/lcv6M33AaYyxcp7wB4gvdjyIbCzxDqllB/q0HcoGZdOY6utAXXYT5tpFzN38t243PpgLaWUUtXDkA51+emWAVzacD83yhR6LnuQRRPOI/3gPqtDU2VU0YdCYoy5ypeBKKWOv0atupA9bg7z3x5Nz/QZLN2wjVfeSeX5C5OoHRtudXhKKaVUpdWNC+eRMZeQ+tFaemycSPesX9n9YjK7Tn+Ntr2HWB2eOgaduUupIBcVU4Oe46bwV8+XeVVG8Nf6/Zz+4h9MnbdKu8qVUkpVC/aQEPpc8TibzvmK7VKXuuyl1dQLSXn7NpwF+VaHp45CixWlFAD9zricr286kbZ1YziUnUvjH0aw7Okh7Nqy1urQlFJKKZ9o3e1EaoxLYX7cqdjFkLx9EqufPpn1aRlWh6aOQIsVpdQ/WtaO5rsb+/NE70Jay3a65M0n7p0TSPn4UQqdBVaHp5RSSlVadGw8Pcd9zoKeE0gnig9y+3DGy3/xzp+bcOt9m34nYIsVEWktIt+KyD4RyRCRP0VkUIk2jUXkRxHJEZE9IvKMiFT4Ph2lgkFoiI0LzxvGrkt+YZWjI5GST/K6Z9nxRFcWz/hQh4YppZSqFnqccTV5Y+aT1vwC8gvdPPLDKh58/T12b1tvdWiqmIAtVoAf8EwQcBLQHVgK/CAidQFExA78CIQCfYErgCuBR6wIVqlA06RNEm3v/p3Ujg9ykFiauLfTdc5Y1j7Rj6V/b7E6PKWUUqrS6tRtwHujevHoOR2o7cjhhrSHiZx0AvO/eU0/nPMTAVmsiEgi0Ap40hizzBjzN3A3EAl09DYbArQHRhpjlhhjpgH3A2NFJNSKuJUKNDa7nd4X3IZ93FLmNriKXBNKRr6LC95fw+urbaRsPIAx2mWulFIqcIkIl/VpypSrOpPhqEUsOfRccg/LnjlVe1n8QKAOidoPrAUuF5FFQD5wHZ7nviz0tukDLDfGpBXbbzowEegALC7twCISBoQVWxUD4HQ6cTqd5QqyqH159wtkmnP1FBEZQ48rn2Hvzhv47Y/V2FYKqw8JN0+exQfRr5DbdRSdTroEe0ig/kopm2B4r0uqTM7B9HNSSgW+Js3bUDj+T+Z+9ADdN71Fl9x5ZL3dn9QOt9Hz/Nux2e1WhxiUAvIvC2OMEZFTgG+ATMCNp1A5zRhz0NusLpBWYte0YtuO5B7gwZIrZ8yYQWRkZIXinTlzZoX2C2Sac/XVOgbuSypk9k4bPffPoGPhCph/Gzvn/R8LowaS26A/YdE1rQ6zSgXLe11cRXLOycmpgkiUUqrqhDhC6XPlk2xZM5zcL8bStnA1vVc9zqr13xE56hua1k20OsSg41fFiog8CYw/RrN2eHpVXsVToJwA5ALXAN+LSE9jzK5KhPEEMKHY6xhg+5AhQ4iNjS3XgZxOJzNnzmTw4ME4HI5KhBQ4NOfgyTlx5kx6DLuPOTNq0GHHZ9SXfdTP+RLXuq9YEdGDgk4jaHPCcCIiIqwO12eC9b2uaM4ZGToVqFIqMDVp2x3X3X+SMuUpOq95kb9zY7jrlfmMG9yaq/s3w2EPyDspApJfFSvAc8C7x2izEc9N9WcC8caYoqvhDSIyGM+N9E8Cu4FeJfat4/26+0gHN8bk4xlWBnjGMQI4HI4K/3FSmX0DleYcHGrXb0KD0c+Tl/MoC37+gIgVH9OhYBld8uaTO28p/VNqkty2Mad3qsug1olEhVeP28WC8b2uSM5W/oxEpDXwDNAPz0Qry4D7jTGzi7VpjGdo8CAgC3gPuMcYU3j8I1ZK+Rt7SAjJI+5j56bzmT5zC/kbC3ly2hr+XLCEe5LD6dDvDKtDDAp+VawYY/YCe4/VTkSKxmOVnKbBzb+TBswF7hOR2saYPd51g4EMYJUPwlVKeYVHRtPj7Ovh7OvZtn4522e9yfa0/ezPdvDj8l38uHwX34bdj0TUIKfhAOp0O4OmbbsjNv1kSlWZH4C/8Xy4lQvcimfGyBbGmN3FZozcjWfGyHrA+4ATuNeSiJVSfql+s7a8OroNXyzczv9NXc2IQy/QYeY8FqacRMOLnqVOwxZWh1it+VWxUg5zgYPAeyLyCJ4L0WigGZ6LD8AMPEXJByJyF577VB4DXvX2niilqkCjlp1o1PJljDG03ZHBj8t3sWzZIrrkboA8YP1CWP88e0hgW0wShQ17U7PTEJq17YrdJlaHr6qBYjNGXm2MWeZddzdwA54ZI3fz74yRp3gnYlkiIvcDT4nIQ8YYfQqqUuofIsLwHo0Y3DaRte9+gmvvfLpnziLnrT7MbXoV7c+90+oQq62ALFaMMftE5DTgcWAW4ABWAucYY5Z627hE5Ew8XfxzgWw8XfwPWBO1UsFFROjUMI5ODeMwp7Zm89rW7Fo0jahtv9Eqdym15QC1M2fB6ll8sHw+59mvpWODOJLqODiJVBJb9qBhqy44QsOOfTKlDlclM0bqbJGVF4x5a87VS1RYCN2ue5P1y6/CTL2TtoVr6LPldfa9+Cmu2HPIyR5AZFS01WEeF5V9n8u6X0AWKwDGmAXAqcdoswUYenwiUkodidhsNG3Xg6btegD3k5ebzYqFv5C57i+i9sxnYW4XMvMLmbtxPwWb1jI+7GFYDPnGwd8hTTgY0xp3QkvC6rYhvnUfGjTSmxvVkVXhjJE6W6SPBGPemnP14+5wN8u3zaPP/i9oKHsYlvEez77gJr3hELomGuxBMligou9zWWeMDNhiRSkVuMIjoujY/2zofzYAz7kN1+7OZMXOdLLXHmTV5o40LthAtOTSyrUeDq2HQ8BG+N9vV/GpGULjhEj6x+1lqHMG1GhMWGIz4uq3pFbDVsTUqN5TJwcrP5gxUmeLrKRgzFtzru45n0lB/r3M+fZFEtZ9xqT8QeSutzN7fwTjkgyDe3clIirG6iCrRGXf57LOGKnFilLKcnab0L5+LO3rx0KPkcBI3C4XO7asIW3dfPJ3rCD00Abicraw2dWEQqdh475suh5YQHLo554/Sdf9e7x0othrr8uPta8lq+EAGsZH0iwil/q2AyTUbUJ8rXqITR/uFYAsnTFSZ4v0nWDMW3OuvhwOBz0vHM/X33VkTGw73kvZyvaDObT/625cc9NZ2Phimg0ZU21vxK/o+1zWfbRYUUr5JZvdToPmHWjQvMNh6993G3Zn5LFxbzYZGwwpmzMJzdpGTO5OEl1pxJNJHNnEuTawYMtB/ti0CYDzbb/zXOjrABSYEPbZEsgISSQ7vA7OyLrsaDqM8AadqBsXRt0oG7Vjw3GEhh/3vNWR6YyRSil/FhYi3PD/7N11fBTn1sDx31nJxoUkJAQI7hYcipQK1N3eutLS0ttSu5Xbe1sqt05duXV3p0AqUIq7u7uThOhm93n/2IWmaQKRTSbZPd/PZ8rOzDMz5yRNJs/MI0Nacv2xrflx6hzifi8kwWTTb9MbeMaOZWFELzwZl9H5uP8jzFW/7i9uj5ddOYXsyCqgaN00bDsXYbK28ntWR1I67adf64Y1dm2trCil6hWbTUiLjyAtPgLanI7vAfqfcrL2sWfLarK2r+MUe3va5rrYvC+P9J1h7MmNJ4kDhEkxaWYXae5d4F4GOXDF5nR+9/o6+51vn8zTztfZTyxZtnhyHQkUuBrgdiUiefBjVDyRjdqRGO0i2VVMg0gHUdFxOhRz3aEjRiqlLBMRZuf84/pSPHApcya8Q+Si9+hYtJhuBbNhxmz2z7ifz9NuIb7f5Qxqm0RsuLVvn4o9Xnbv3MKBbavJ3bWZov1bIHsrztztRBbsIr54N8cXPk2h8VUbnnG+ynn2KQB84b6B5TtytLKilFIVFRPXgJi4vtCpLxl/2dMLeJiiwgL27thI1o6N5O7djHv/VsjeRnpkd3rlxbEju4BGBw8AkEA2Cd5sKNoERfi6agOX/tqGqd6DAFxo/40nnWNxGzsHJYpciSLPHkOhPZoiZyzTUi/jYGJnYsOdpJkdNM1bht0VhTM8GkdENK6IaMIiYnFFRhMRm0hEeAQ2HcK5WnTESKVUXeBwhtHr9Ovh9Ov9c5CNpfW270hmPxM2FPP7unk4bML5jfdylmsB4c160LjjAJLTmh1uZlpdxe4i9uzYxIEdG8jdvRH3/i2QtQ1n3nYeC7+dzdnF7M4p5CnHnxWQsiSzn532hjSMCWeXsxvzvEJBRAqpxSlkNIkPSKzl0cqKUiqkhLnCadSsHY2atfvL9n4lPns9Q9i79wGydm0hd/8OCrN2Upy9C2/OTgr2bKRJWge6uePZe7CQ5NxcAJzi8VVuTDYUb4dioBDGLOvPVK+vVdL/2X/lHOf/yo3thqJRTPD2Idxp43TnXO70vk2RuCgWB8UShtfm+9djC2NC/MVsiMkgzG6juXsN/Q/8gLGHYWxOjD0MbA6MOBCbnU1JA8mKaYvdJsQV7qDpvqmIzQE2O2JzYLPbwf/vwYROFMWkY7cL4e5swrNWsz4n0N+FmqcjRiql6hLfHGQvUOx+miUzx9Nxf1O2rMpi3e5cWm7/if6OH2ELMBX2EM/OsHTywxvijmrEhjZXEdmgES6HjfiD64gq3IHY7HgKcvEU5uItzMVTmAMHd/N9whXsyIPdB4u4eO/LXOAZR6qYMoc43LH3HHYa3xuRbSSzg2QOOJPJC0/BHZWKxKbhbNCUmOR0vmrZk6S4OP/DtOMBXwf73ePG0blx5QYYqSytrCilVCk2u43Eho1JbNj4L9vdbjfjxo3jkVNPLdEx8HjyDj7Owax95GbtoSBnH4UH9+M+uA9P3gGOjxtMe2882flumu1pytL93XB68wnzFhBmCgg3BYSbQiKlkHz/FB4Fbi927wFSnXvA4FsAPH/G8tqmY/jJ67v9nG5byKiwb8rN56vVbr7w+LpvHG+bx1thT5db9n731XzgGQpAf9tSHneM5U3zLCMr/NVTSilVHoczjM4Dz6QzcA+wcW8uG3/fwpyNHhKzl5Pu2USSHCCp6IDvjX423La+Dzv8I6s/4HiXqx0Tyj3/Het7sMVfARnmsGN3GIqMnT22RLIchyoijZC4NEa37UtSwzQaxYWTFH0qNpuUO267lbSyopRS1RQZHUdkdBw0bvG3ff3+stYNGFXmObweD68Ve8hzG/KLPBRkd2HVvtPxFuXjcRfhcRfgKS7C6y7A6y7i5ISe9HOmUlTsJTrbzvSdheApRLxubJ4ixHjAFCNeDy3iu3JuRGM8XkPjvCwW7B0AxovNeBDj8f/rxWaKiY5rTDdnHB5jSCmMZ0d+UxpqVxyllKoRzRKjaHbODfjmrYX83Bw2LZ/JwR3rcO/fguRso1dse/bmeXF7vNhyGrG2sCViPLht4bhtEbjtERQ7IigOT+TqFu0IT2xMUrSLNGd79sQ8SkLDxqTZ7aRZm2qVaWVFKaXqAJvdTqTdTuSh+dEbpEPz9Aoe3RI4udy9vf6y1h24pNyy9/xlbRBu99XcMm5cBeNQSilVHRFRMbTrdeJftvX9y9oxRzy+f8Ajsp4+L1NKKaWUUkrVSVpZUUoppZRSStVJWllRSimllFJK1UnaZ6WCsrOzK32M2+0mLy+P7OzsEiMHBTfNWXMOZqGYd3VyrsrvzfpI7w8VF4p5a86ac7Cqbs4V/d0pxpijlwphItIY38jXSimlqqaJMWar1UEEmt4flFIqII54j9DKylGIbwrRNOAXoE+JXbOOsH7ocwy+G1kTDs99XWWlr1edsuXtL2t7RfIs+TmQOR8p1sqW05yPvP1IOZdenwWcgDU5H61sTeZc336m60rOMcA2E4Q3mxL3hxwq/nvj0Lr+DNWdn6FQzPlI+yuTY+n1YMm5rG2h/rdATf0eO+o9QpuBHYX/i7dVRLzGmMPvq460fuiz7z4GQE7JslVR+nrVKVve/rK2VyTPkp8DmXNFcqloOc35yNsr+/83f/5SqtWcj1a2JnOubz/TdSjnoG0Lduj+ABX/vXFoHf0ZqjM/Q6GY85H2VybH0uvBknNZ20L9b4Ea/D121OO0g33FvVyJ9dL7auL61Slb3v6ytlc0z5rIuTLn1Zwrvr+yOZder8v/f4dizuXtr4s5B7PKfC3r8v9PofgzFIo5H2l/ZXIsvR4sOZe1LdT/FqiN32Nl0mZgNUhEYoEsIC4Qtez6QHPWnINZKOYdijnXhlD9uoZi3pqz5hysaitnfbNSswqB0f5/Q4XmHBpCMWcIzbxDMefaEKpf11DMW3MODZpzDdE3K0oppZRSSqk6Sd+sKKWUUkoppeokrawopZRSSiml6iStrCillFJKKaXqJK2sKKWUUkoppeokrawopZRSSiml6iSdwf4oxDclaRp/ztKplFKq4mKAbSYIh57U+4NSSlXbUe8RWlk5ujRgi9VBKKVUPdYE2Gp1EDVA7w9KKVV9R7xHaGXl6HIANm/eTGxsbKUOdLvdTJw4kWHDhuF0OmskuLpGc9acg1ko5l2dnLOzs2natCkE2ZsHERkJjMTflFrvDxUXinlrzppzsKpuzhW9R2hlpRylb0axsbFVuhlFRkYSGxsbUv/jas7BLxRzhtDMOxRzriy9P1RcKOatOWvOwaq2ctYO9uUwxrxsjOkI9LE6FqWUUkoppUKRVlbKISIjRWQZMMvqWJRSStUd+jBLKaVqjzYDK4cx5mXgZRGJBbIqe3xeUTFzVm+jYPtSlk31YLfbD+8TwIhQFJFKQXxLAGzeYmJ2zfXtFzDI4bKI4A5PpDC+tX+bl+hDZUv811+Y4vB4CuNaH75e1O55fysrIiCCxxlDUXyrw2Uj9y4GYw7HWDIGryOKIn+8AOH7VyLeYv+1ffVer6eYgn2bWLdyESapzeGyYQfWIV73n9cuEY+xOymOb3H4qxOWuw0HXmwOBw67E3E4cNgd2BxO7A4ndlckDpsNm/x5LqWUqi2lmwlXxcodOezZtY1lU7/HZrPzl19l/pWc5J4YhwuA8Oz1hOXtRJC/lQPITeqGcYQD4Dq4hbC87SWKHCrnOzqvQUe8zkhEwJm7nbDc7aUTPPyxMKEtXmc0AM783YTlbitZ8M/zChTGtcAbFoMg2PP34szd9te8EDweDwV7N7B8wxbsUQ0AsBUeIOzgnzGUjFkE3NFpeF1xCIKtKAfHwW2lwvzzq+KJaggRCThsNuymEGfhAWx2B3b/PcTh8H22O5zY7U5sdn1mq1Rdp5WVGrLtQAH3vD+JaeFPwI6yy3xYfAL/Kr4WgHhyWBB+Q7nn+9IzkDvcNwHgooiV4VeVW/YnT29udN92eH2d61JsUvaIcJM9XbnSfc/h9SWua4iWgjLLzvS256Ki/xxen+26kWT5ez2uDbB4fXPOKPrv4W2/h91Kum13medd623EiUXP/Bl/2N10sG0us+x204D+hS8dXv8ibDRdZB0ebBSLnUJcFEkYbnGRY4vj4eSnCHfaCXfYOC3nMxoVb8HYw/G6YpDwOGyRCTgi4wmLboBpfizxUWEkx7gId9rLvL5SSlX3YRbAq7+vZ9DG8XTbOqncMr0LXmY3CQA84HiXqx0Tyi17bOEYNppUAP7p+ISbHN+VW/bkwsdZYdIBuNn+NXc6Py+37LmFDzLPtAXgWvuP/Nv5YbllLy26l6neLgBcYv+F/zrfLLNcO+C6t7P42dsTgLNtf/Bc2CvlnveWopv5znsMACfZZvF62HPllr3HfR2feI4HYJBtEe+HPV5u2Yfcl/O29xQcNqGHrOZN+2MUShhuwiiyheGWMIrFRbHNxR+xpzI/bijhThvJZh8nHPgM44pDIuKwR8TjjEogLDqBiNgGhDdoQmyDFKJc+ieWUoGgP0nlqO6TM5fDRvPkWNbkNMVms/mf+/y1wlAclULb8GiMgSgDG3Kb+q59uMSf5YvCGtIyPgoMOE0Ym/PSMH8pC+IvX+BKollspO8MBrblpyCH39X89dx5zgY0joo4vHV3YRIHzV8rK4fOm2ePJzU23H+0Yb87AWPsh/cfKmsM5NpjSYp2Hb5WTnEseykqVdYn1xZNQqSvY5bXQLE3jDzjwo4XOx4c4j18jKfUt8OJG5e4S2zJ86VmYI8nllnr9x3ec23YZPrYVlCWQuOkXeG7h9efCx9Lhm0tOc5ECsKTKY5MxdagGZGpbUhs2p6Upm2w6xM5pUJSIN6spMWFk+towHpbM/78bfjXe0Tz5FgSbL63GqYgmQ3upn/G8JeShrQGMThsUb4zFCWxyd0YDH/5nXtIw4QYCsR3j3C4E9jiTi1x3r+WT4iLpqktAmPAWRzHtuKGvnL+KRFKxhEbHU2a+N/ueKLZWZxY5nmNMURGRJJid/nLRrLbk/CXciXvmGHhkSTZwgAI90awzxtb4rx/JWGRxBgHXq/BZcBt7DjF87evAfjuJ8aA22NA3EQ78okm37fT+9ey323vyPgtviePXWQd/3J9UuY5AV4qPouniy8iMsxOx6iDPFQ8hkRvNHO2fI/ENMKZ2IzYtLakpLcnNrFhuedRSvlIEM7TFVCHnpxlZWVVabSXcePGceqpp4bUyBCBztl4vXg8xYeXYnsEHo+h2GswubvwFhXgKS6m2F2IuyCX4sI8igvzKCr2sC2xHwVuLwVuD403/0B47mZwF2ArysFemIXDnYOrOBu3Vxhuf4j9uW6KPF6+DHuAnrbVZedo7HQpfpemibG0bxTLUPt88vdsZtBpF5PWrG1Acq7rQvH/bQjNvKuTc3Z2NnFxcQBxxpjsGgnQQnp/qDyr8vZ6PBQXF+P1uCkuduPxePDYwii2heH1QnFRLiZrm+/eUViAx38fKS7Kx+vOZ09kG3aHN6ew2IsjZyvtNn+GrfAAjqJsnMU5hBfnEOE5SJQ5yKuesxjrPgWA7rKar10PlBvXm5zNt0nDSW8QSdsEOwOZR3LrnjRu0RGbo/4+Tw7F/78156oNXVyRe0T9/UlQIUNsNhy2MBzOsL/vjGn6920l9Ci50m/kEcvOxPfELyvfzf7NTViycz35+7ZSnL0DW842wg9uJqFwC/keGwUeG6t3HWT1roNcG/YSGba18PYYdpDE1ujOuNN6k9hhMC27HIO9Ht9wlFJ/F4g3K6p22ex2wux2wFVOiXBITixnX2ktgUHl7r3PGG4t8rA7p5B9u9oye20kW1YtICUKwvJ2EpW/jWT3NpI4wAZ3PIu2ZLFoSxbdZTW3uB6AmZBnXGxxNuNAbDtMSmcatD2G5p364gwrL36lgpf+FaVUCSJCfGQY8e26QbtuZZbxeLz8kV3A6p0HWbEjh9z57VmbVUgzs41U2UPqwUmwahKseooN3zbiqTYfcmzbhgxum0xqXHit5qOUCrxA9FlRwUtEiHY5iHY5aJHUBneb5mzzjqN3qafPeQezuGx/HgOzhU178/Cu38OqzW1p6t5ApBTStngV7FsF+76H5fDk15cyt/Hl9GqeQJ+0MDLSIolLTD1CJEoFB62slEOfnKny2O02miRE0iQhkuPaN8Q94F3GjRtH4qABbFk+nYOrpxOxcw4t8hezyNOcHxfv4MfFOwDDR7GvYGvai2aDL6VRs3ZWp6KUUsoikdFxtIuO4/CdYHBL4Eo8xcVsWreE3WvmU7R1IZH7ltI8fykz3a2Zu34fM9fvY7NtKseGvcx6WzN2Jvcnov2JtOk9jMjoOAszUqpmaGWlHPrkTFVWVEwcnQecAQPOAKDYXUT6uk3cssnL5FW7Kd66gGOKpsLaqbD2eVY62rG/1Vl0GHYdcYkpFkevlKoofZilapLd4SC9bQbpbTMOb/N6PDyx5yBzN2UxZ8N+Oq/eC0XQwruRFjs3ws5PKJrkYKmrIzlpg4gZcA0dWrXCZtPh/VX9p5UVpWqIwxlGRrvWZLSD24e2Ze+e1sz8NY/oNd/ToXAR7YpXwsonKVzxLHPijiXs2Nvo0mOAzh2jVB2nD7NUbbPZ7bROiaN1ShwX9U4HXmffrv+wfs54PKt/pen+mTSS3XQqWgQbFtF3RQeI3cAJHVI4vZmXHh1aEx4RZXUaSlWJVlaUqiWJSSkkXngXcBd7dmxizW8fkLzmM1p51tMr+2eu/LInWyYVM3xQS87p0RiXQ+d6UUopVbYGDRvT4NRrgWsxXi+b1i5h+7xx5G5dxkFvMrnZhXw0cxMnznsS77fLmR/dm+I2p9B20AX6Nl/VK1pZKYe+5lc1KSk1naSL78N472HVginsmPYR83ZlkLM7l3u+Wszm8c8xsFkEHc+8jbiEJKvDVUopVYeJzUZ6m66kt+kKwLxiD9PX7uWXZdtos3AnkRTSPfcPWPAH7vn/YWFEDwrbnUW7Y/+PuAbJFkev1JFpZaUc+ppf1Qax2Wjb41ja9jiW6YXFfDJrEx9MWcG1hZ/SYP1Bcp/7HzNSz6H1OfeRlJpudbhKKfRhlqr7XA47Q9o1ZEi7hpizlrFm8TR2z/mGlK2ZtPRuoFvBbFg4mxnzP2Jsyxc4rWsjTuyYQmx4aMwPouoXrawoVUdEuxxcN6glV/RpzKLx95G98DWaezfRb+fH5L36FdMbX0TH8+7X1/dKWUwfZqn6RGw2WncbSOtuAwHYuHIB26Z9TKPN4xjn7s0vK3bxy4pdpNgP8lrcu3g6nk2n4y4mIirG4siV8tHKilJ1TJjLRa+zRmLOuJGFk74gfNrTtCteSf9t75Hzwuf82HE0Q86+liiX/vgqVV0i8jUwBPjFGHO+xeEoVeOatcugWbsM4Aku336AhCW7+GHRNvrs+4XueVNhzlRyZ/+b2QnHEdH7Ujr2OxWbXftQKuvoK2yl6iix2eh2/IW0vW8GCwa+xnpbcyIpYMwCYcjTk/h8zma8XmN1mErVd88DV1gdhFJWaNMontuGtuXn249l+OVXMr3JNWyTFKKkgN4HfqJz5mXsergtM974B+s3rLc6XBWi9NGsUnWc2GxknHgx3uMuZOrvEyieE8HuvXnc9cUisn97jmOOPZkOfYZaHaZS9ZIxZpKIDLE6DqWsJCK0bN+Nlu2fxXifYfnsTLJnfkCHfT+Tyh6Stn5A39f607jJVs7p3pgzu6SQGBtpddgqRGhlpRzagVLVNTa7nUHHncrEQR7embqBCb/+wlUH38Q+7n/MmXICTS54gtT0NlaHqVTAiMhg4C6gJ9AIOMcY802pMiP9ZVKBhcA/jDGzajlUpYKG2Gx06HsS9D2Jgvxc5k36jE0rF5C1K569W7JYtCWLNhMuJzoqCm+3i+l83P8R5gq3OmwVxLSyUg7tQKnqKpfDzg3HtuK89i7mfjKZXvt+pFfOL+S9OYAZbW6k10X/wuEMszpMpQIhCl8F5C3gq9I7ReQiYAwwApgJjAImiEg7Y8wuf5kFlH2vG2aM2VaZYETEBbhKbIoBcLvduN3uypzqcPnKHlffhWLe9TlnuyOMLideRpcTL6NfbhE/Lt7B5HlLGLh/MeQDM2awb8a/WZFyGimDryW9bQZQv3OuKs256scfjVZWlKqnklKakHTrh6xZOBX3D3fRwb2UfmueY+3j3+E57Vna9hhidYhKVYsx5ifgJ/A1UynD7cBYY8zb/jIjgNOAa4DH/efICGBI9wIPlN44ceJEIiOr1iQmMzOzujHVS6GYdzDknASc1xw+jXuMmB3T6J0/hWQ5wDE7P4bPP2axtGVOg7OIatwFlz04cq4szbni8vLyKlROKytK1XOtuw3A23kKs755kXaLn6SVZx0Hvr2E/278ln+ckkGMjpuvgpCIhOFrHvbYoW3GGK+I/Az0r6HLPobvTc5w/2ID2gwbNozY2NhKncjtdpOZmcnQoUNxOkPnZzQU8w7enIdT7C5i7u9fYV/4AZ3zZtGFVby9PYcJu110jXdz62nd6dE8GbEFf4v64P0+l6+6OWdnZ1eonFZWlAoCNrudPueNYu/A85nz4Si+2duED2bu4tvlkxl9ZidO7tzI6hCVCrQkwA7sLLV9J9C+oifxV266AVEisgW4wBgzvayyxphCoBB4BnjmUDNhp9NZ5T9OqnNsfRaKeQdjzk6nk54nXw4nX86ebRtY/fP/WLJjILn7PEzfZaPje/8lxfUHO1tfSIeTbyCuQbLVIde4YPw+H01Vc67oMVpZUSqIJKY0IfH2LyhYtZsp3y5h4948PvzoHRo2mEazy18lMaWJ1SEqVacYY06s7DE6AItSf5eU1pykKx5hgjFMXb2L576bxTk502jh3UiLVU+Rv/J5ZiWcSMKQm2iTMcjqcFU9or9olQpCA9smM2HUYP4xpDmPOt+ix8Hfsb3an3nj3rI6NKUCZQ/gAVJKbU8BdtR+OEop8PUv69uiAZe38ZI28idmdriXdbbmREgRfQ6Mo803p7Pqkd7M/OYVCtweq8NV9YBWVpQKUuFOO3ec3Imic99hna05CWTTY9ZtzHv6DPbt2mp1eEpVizGmCJgLnHBom4jY/OtlNuMK4LVfNsZ0BPrU5HWUqu9iEpLoe9E9tLh/PitO+Zw5sSdSZBy0LV7F7rnf0Pe/v/Doj8vYsCfX6lBVHaaVlXKIyEgRWQboeP2qXmvdbQBN7p7JjCbXUmxs9Dj4O/JKP+aOe9vq0JQ6IhGJFpEMEcnwb2rhX0/3r48BhovIlSLSAXgV33DHNfo/t94flKocsdlo33cYvW7/kpybFjK9xc18F3E2Wfluxk5ZzzXPfMSix09k8e9fY7xeq8NVdYz2WSmHzrOigkmYK5x+141hzcJzsX87khbeDfScNYpntwnXXHIpcZGh1RlQ1Ru9gN9KrI/x//sucJUx5lMRSQYewjcp5ALgZGNM6U73Sqk6IjGlCf2vfJQ+XsPkVbt4f/pGBq59n64Fs+HXq1g/qRl7Ol9Ll1OuIzwiyupwVR2gb1aUCiGtuw2ksf8ty9eeQTy/JpmTn/+daWv2WB2aUn9jjJlkjJEylqtKlHnJGNPMGOMyxvQ1xsyshbi0GZhS1WS3Cce3T+Htq/tw8jUPMKPhheSacFp4N9J70X/IfaID09+6i707t1gdqrKYVlaUCjGH3rK0GP4+LZKi2J5VwMj/ZTLljdsoLKjYBE1KKaVUoDRu2YF+N42leNRSZrQexQ6SSCSL/pvewPPKAO79fB6rduZYHaayiFZWlApRGekJ/HjLQC7pm85jzjcZtO0ttj7Zn/XLZlsdmlJ1mvZZUapmxCUk0e+y0STet4y5vZ9hlaMtX3oG8fHc7Qx79neue2cWyxdMszpMVcu0sqJUCIsMc/Dfc7qQeuy17COWlt4NpH16CjM+ehivR4eUVKos2gxMqZrlDHPR87TraHPfTPpc8wwnd0pFBPJX/UqHb05h8WNDWDptnHbGDxFaWVFKkXHixXhHTGNhRF9c4qbfqqdZ+uQJ7Nq63urQlFJKhSix2ejZMoXXLu/Jz7cfy/81zcJt7HQpnE+niRez4rEBLPrtC620BDmtrCilAEhKbUrXu8Yzs+P95JswuhTOxzV2ANMm/WR1aErVKdoMTKna1yo5mjNufIzdV09nRtI5FBonHdzL6Dr5Wlb/ty9LpnxrdYiqhlS7siIi4YEIRCllPbHZ6HvhXey+NJPV9tbkmAhuGH+Qu79YRF5RsdXhKVUnaDMwpayT1rwd/W5+h+wb5jAj5WLyjIu2xauIzPwnl4+dyoLNB6wOUQVYlSorImITkX+LyFbgoIi09G9/WESuDWiEASAiX4vIfhH5wupYlKoP0ttm0OyfU/mpx+sclEg+nbOZM16YwpqVS6wOTSmllCI5rTn9bnyN3BvnMDP5fJ71/h9T1h7g7JencuO709mwYp7VIaoAqeqblfuBq4B/AkUlti8BrqtmTDXheeAKq4NQqj4Jc4Uz/KwT+fC6vqTEuui3/zuafjSEmZ8+ru2DlVJK1QnJqen0Hfkm/7z9bs7r0QSbQPKqj2n68fHMfvYidm/bYHWIqpqqWlm5ArjeGPMhUHLIoIVA+2pHFWDGmEmADtCtVBUc0yqJn24ZxNlxa3CJm77LH2Pp8+fgzj9odWhKWUL7rChV9zRtEMkzF3ZjwqjBnJC4D7sYemeNJ+r1Psx45z4K8nOtDlFVUVUrK42BNeWcz1mZE4nIYBH5XkS2iYgRkbPLKDNSRDaISIGIzBQRbSesVC1qEO2i153fMqPtXRQZB93zpjJw+f2smDXB6tCUqjIRaSoik0RkmYgsEpELKnKc9llRqu5qkxLDsbd/wKozv2WFowORUki/DS+z78nuzJvwvrYMqIccVTxuGTAI2Fhq+/nA/EqeKwrfG5m3gK9K7xSRi4AxwAhgJjAKmCAi7Ywxu/xlFlB2LsOMMdsqE4yIuABXiU0xAG63G7fbXZlTHS5f2ePqM805uPW84G7WLRpE5A830JTtJE+8jGnLr6PHpQ9jd1T110n9EUrf60Oqk3M9+DoVA6OMMQtEJBWYKyLjjDH6CFapeq5tjyGYjGnM+eEN0uc9QZrZSdr0m/l+8WTaXvYs7VJjrA5RVVBV/7p4CHhXRBrje5tyroi0w9c87PTKnMgY8xPwE4CIlFXkdmCsMeZtf5kRwGnANcDj/nNkVCmLst0LPFB648SJE4mMjKzSCTMzM6sbU72jOQc3T8cHWbvyA4YUT6Hv5v8x8plm9GubToLr6McGg1D6Xh9SlZzz8vJqIJLAMcZsB7b7P+8QkT1AA0ArK0oFAbHZ6HXmCHKP+z+mf/Ig3bZ8xKt7u7PyhSlcM6A5tw1tS2RY8D9oq++q9B0yxnwrImcA/8H3S/0hYB5whjEmYHdxEQkDegKPlbi2V0R+BvoH6jqlPIbvTc4hMcCWYcOGERsbW6kTud1uMjMzGTp0KE5npVrH1VuacwjlHBbBDM/J/LFgGeMPtmTGciePndOJEzs0tDq8GhOy3+sq5pydnV2ta4vIYOAufPeBRsA5xphvSpUZ6S+Tiu8t/T+MMZXuSyIiPQG7MWZztYJWStU5UTHx9B/+HFu2/ZP0X7azbOkOxk5ZT8yCsRw3YCBdhpxndYjqCKpcnTTGTAGGBjCWsiQBdmBnqe07qURHfn/lphsQJSJbgAuMMdPLKmuMKQQK/TfAkfj79Tidzir/cVKdY+srzTk09DzjBlIHF/H7J/NZtCWLpz/+kbgmc+h57XO4wqv2JrI+CMXvdVVyDsDXqFaaCYtIA+A9YHh1A1ZK1V1N0tJ47fI0flu5i7e//IEbC9/FOektZs//hNaXvUBCciOrQ1RlCIl3X8aYE6twzMvAyyISC2QFPiqlgkPzpCi+GHEMT49fytmz7qXj7o2seWoOEZe+T+OWnawOT9VjtdFM2N9P8RvgcWPMtAqU1T6N1RCKeWvOdc/Algl0H3Emcz+eRp9dX9A7ayL7X+7NzIz76H7KtYit8uNP1fWca0J1c67ocRWurIjIfsBUpKwxpkFFz3sUe/ANjZxSansKsCNA11BKVVOYw8Z9p3dhYdS/2T/5Nlp71pLz7gnM7fcYPU+52urwVBAKRDNh8dWA3gF+Nca8X4FDtE9jgIRi3ppzHdTkDD53daTnlrdozWb6LriX2Ys+YUPrawiLSqjSKet8zjWgqjlXtF9jZd6sjCrxORHfxJATgEPNqfoDJwEPV+KcR2SMKRKRucAJ+J58ISI2//pLgbpOWUo3A1NKHV234y5gZ5seLH/3Mjq4l9Fz5ihmrJ1C9+teCupmYcoSgWgmPAC4CFhUYtj8y40xi8spf6hP43D/YgPaaJ/GigvFvDXnup+zu+h6pn32CD03/I/e3oU0XfUQs0/L5OSM9Iqfo57lHAjVzbmi/RorXFkxxrx76LOIfAn8xxhTssLwgojcDJwIPFvR84pINNC6xKYWIpIB7DPGbMJ3Y3hXRObgm4BrFL52zG9X9BpVoc3AlKqalCataHDXJKa/cyf9t71Hvz1fsvqphYRf9SVNmza3OjylDjPG/EElHkiV6NNYAByerEH7NFZeKOatOdddTqeTY65+nI3LL8D9xXDeLRjE+1+u4Mw12Tx8VmfiIiueQ33JOZCqmnNFj6nqW4OTgPFlbB+Pr7JSGb3wzc1yaH6WMf7PDwEYYz4F7vSvLwAygJONMaWfpgWUzlCsVNU5w1z0v/5FFh77P/YTwwG3jTP/t5QfF223OjQVPCxrJqyTQioVnJp16Emzu6eTMPhG7Dbhu4XbGDXmTZZN/8nq0EJaVSsre4Gzyth+ln9fhRljJhljpIzlqhJlXjLGNDPGuIwxfY0xM6sYd2Xi0puRUtXU7bgLKLpuMmMb/pv9hTDyo3mM/no+Bfl1e/4NVfcZY4qAQ82Egb80Ey5ztMdA0YdZSgUvZ5iL209qzxcj+tM50fBQ0dO0G38x09++B4/HY3V4IamqlZUHgCdE5HsRud+/fI9v9JW/dT5USoWulCatePnG07lxSCsA0uY+yZanB7J13VKLI1N1nYhEi0iGv2kw+JsJi8ihhuRjgOEicqWIdABepRaaCSulgl/39AQ+HTGQHQndsYuh/8ZXWfbkiezescnq0EJOlSorxph38HVMzAbO9S/ZwED/vnpPn5wpFThOu427T27P+5e05nzHFFp71hL77gnM/Un/plRHVCebCeubd6VCQ1RMPL1v+5zZGY+QZ1x0KZyHvDaIJVO+tTq0kFLlka6MMTONMZcaY3r4l0tro3lWbdGbkVKBN6hrO4qum8xyZ0diJN83WthL12izMFWmutpMWB9mKRVaep/9D3Zf/BPrbc1I4gAdf76SGf+7neIQmlPFSlWqrIhI+pGWQAeplAoeKU1a0fqfk5medgUA/fZ8qc3CVL2iD7OUCj3N2vek0Z1TmdXgDGxiOLhxHle9M5cDeUVWhxb0qvpmZQOw/giLUkqVy+kM+8toYa09a7G/ewbjF2y0OjSljkrfrCgVmsIjY+hzywfM7j2Gf8tI/li7lzNfmsrKHTlWhxbUqlpZ6Q70KLH0BUYAq4ALAhOatfRmpFTNOzRa2HJnJx5xX8KIT5Yw+vulFBV7j36wUhbRNytKhbbep13L2zedRNMGEWzal8usV4ezMPMDq8MKWlXtYL+w1DLHGDMWX0fHWwIbojX0ZqRU7Uhp0orWd/9O40GXAvD21A3c//Lb7Ni8xuLIlFJKqbK1T43lu5EDubXxCi6Xn+g1axT2FV/h1eGNA67KHezLsRLoHeBzKqWCnNPh4N5TOjD2il60CM/hrn2jcb15HIsnf2V1aEr9jb55V0oBJESF8Y8RtzCj4UUAnJ7/DcueP5ucrH0WRxZcqtrBPrbUEici7YFHgNWBDVEpFSqGdkzhgyu7k+VIIoFsOv16DdPfugtPcbHVoSl1mL55V0od4nCG0e+mN5jZ9REKjZPu+dPZ+/xgtm9caXVoQaOqb1YOAPtLLPuAZUB/4MaARGYxfXKmlDUat2hHkzunMLPBmdjE0H/TGyx9ehj7d2+3OjSllFKqTD3OGME36fexiwY0927G+fYwVs//3eqwgkJVKyvHAceXWIYAHYFWxpjpgQnNWvrkTCnrhEdE0feW95md8V/yTRhdC+ZS9PIAVsz5xerQlFJKqTKFJ7XCfdV41tmak2CyePqrqUxcusPqsOq9qlZWDDDVGDPZv0wxxqwAEJHBgQtPKRXKep89kh0X/sBmSSOFvSz99jnenroeY4zVoakQpm/elVLladi4Jcm3/sbzDR9igrsrN3wwl7en6qwe1VHVyspvQIMytsf59ymlVEC06NSX+FFT+Tn+Iv7tvorR3y/j5o/mk1OgMwcra+ibd6XUkcTENeCWETdzSd90jIE3f5jE5P/dhfHqsPxVUdXKiuB7u1JaIpBb9XCUUurvYuIacMKtr3PXGT1w2IQfF29jwjNXs37pTKtDU/WYiMSLyBwRWSAiS0RkuNUxKaWCg8Nu49GzO3Pv0Oa853ycY7e8wZwXLqHYrTPeV1alKisi8pWIfIWvovLOoXX/8i0wAZhWE4EqpUKbiHD1gBZ8ekN//hH9G+e7vyf1s9OZ/e0rVoem6q8cYLAxJgPf5Mb3iUiitSEppYKFiHDDCZ3YkzGSYmOj94GfWDrmDArydMb7yqjsm5Us/yL4fslnlVh2AG8AlwUyQKtom2Sl6qaezRK45oY7WRTekwgpovf8e5n5wuUU5OtLXVU5xhiPMSbPv+rCd28TC0NSSgWhPufewuJBr1BgnHTLn8GGZ4eRtX+31WHVG5WqrBhjrjbGXA2MBq49tO5fbjDGPGaM2VMzodYubZOsVN2VkNyITndOZHr69XiN0Hffd2x5ehBb1y23OjQVQCIyWES+F5FtImJE5OwyyowUkQ0iUiAiM0WkUr+z/U3BFgJbgKeC5R6mlKpbup94MetO+ZBsomjvXsael4axf/c2q8OqF6rUZ8UYM9oYo48xlVKWsTsc9L/mKZYc/zb7iaG1Zy0x7x3PvF8+tzo0FThRwEJgZFk7ReQiYAy+B2g9/GUniEjDEmUO9UcpvaQBGGMOGGO6AS2AS0QkpYZzUkqFqI79TmLP+V+zh3haedax8I3r2ZVdYHVYdZ6jogVFZB5wgjFmv4jMp+wO9gAYY3oEIjillDqarseew46WXVjx7mW0dK/i4Z+30rdoBXcOa4vDXtUxRFRdYIz5CfgJfG2/y3A7MNYY87a/zAjgNOAa4HH/OTIqeK2d/jcsg4AvyiojIi58zcUOiQFwu9243ZUbne5Q+coeV9+FYt6ac2ioaM5N2/Vg04Vfs/bzUdyRcwkxr0/nvat70SguvDbCDKjqfp8relyFKyvAt0Ch//M3lYxHKaVqTGrT1jS4axIfffkl8xfFM3/yWuZt2s9LF3amYUKM1eGpGiAiYUBP4LFD24wxXhH5GehfwXOkAHnGmBwRiQMGA68e4ZB7gQdKb5w4cSKRkZGVCf+wzMzMKh1X34Vi3ppzaKhoznva34FZZmfD3jzOfnEyt7bPJT6y/lVYoOrf57y8vKMXohKVFWPM6LI+K6VUXRDmCueqSy6lYZft/POLReRsmE/R81ewdOhzdBpwmtXhqcBLAuzAzlLbdwLtK3iOZsAb4nttI8CLxpjFRyj/GL5mZ8P9iw1oM2zYMGJjYysTO263m8zMTIYOHYrT6azUsfVZKOatOWvO5Rl6QgFXvD2HPgd+5KSVX1N4yVektehYw5EGTnW/z9nZ2RUqV5k3K3/jf7LVkFJ9X4wxm6pzXqWUqqpTuzSifWoM2994libuXTSaeCnT14yk72UPYbPbrQ5P1SHGmFlARiXKFwKFIlIAHJ7dzel0VvkPsuocW5+FYt6ac2ioTM7pSU4+G96Lgy/cSqp3Dzs+OpfdV/5AWosONRxlYFX1+1zRY6rUoFtE2orIFCAf2Ais9y8b/P8qpZRlWiZH02PU58yKOxm7GPqvf4lFT59K1j4dKjKI7AE8QOkO8Sn4htJXSqk6r2F8DLHDf2CjrQmp7MH27hls37jS6rDqlKr2Pn0b31Ol0/G1Ge7hX7r7/633dJ4Vpeq3iKgYet/6MbO6jKbQOMnIn0Hui8ewev7vVoemAsAYUwTMBU44tE1EbP716TV8bR3aXikVMEmN0om8bhybJI1UdsM7p7Fj0yqrw6ozqlpZyQBuMMb8ZIxZYIxZWHIJYHyW0ZuRUvWf2Gz0OW8Um8/9lq2SQprZRbNvzuGnCT9iTLkDGqo6QkSiRSRDRDL8m1r419P962OA4SJypYh0wNc5PgrfA7WajEsfZimlAio5rRnh1/3EZkmjkdmN9+3T2b1VGytB1Ssry/B1blRKqTqvdbcBRN8yjfmRA5jpbc/I37zc9ukC8oqKrQ5NHVkvYL5/AV/lZD7wEIAx5lPgTv/6AnwP0k42xpTudB9Q+jBLKVUTGjZuTth1P7JFUkkzO/nm/efYn1tkdViWq2pl5W7gSREZIiKJIhJbcglkgEopFQhxCUlk3PkDq497DbHZ+WbBNs5/8Tc2rgqKl8FByRgzyRgjZSxXlSjzkjGmmTHGZYzpa4yZWdNx6ZsVpVRNSWncEtuV3/G8/SoePTCUK9+eRU5B6MxXU5aqVlZ+BvoBvwC7gP3+5YD/X6WUqnPEZuOa47vw8fB+NIxxcdn+V0j+cChzfxhrdWiqHtE3K0qpmpTWvB2n3fAIDaJcLNqSxQ3vTCM/N8fqsCxT1crKcf7l+FLLoW1KKVVn9WnRgB9v6k23yL1ESiE959zJzJeuprCgYhNUqdCmb1aUUjWtdcMY3rumDw1dxdy49T5WvXgORYWFRz8wCFWpsmKMmXykJdBBKqVUoCUnxNH+n78yvfHVAPTd8xUbnz5Wh4xUR6VvVpRStaFz4zjeOSOenrbVdCuYzcJXLsfr8R79wCBT1XlWupazdBGRNiLiCnSgSikVaHaHg/7Dn2PR4DfIIoq2xauIfPs4Fv72mdWhKaWUUnTsdSyrh7xMsbHRO2sC098cZXVIta6qzcAW8OcILSWXBcAKIEtE3hWR8ADEWC0i0lREJonIMhFZJCIXWB2TUqpu6Xr8ReRd/RurHG2JI5emk27jhR/n4vHq8Mbq77QZmFKqNnU77gIWZIwGYMC2d5n28eMWR1S7qlpZOQdYDVyPb6jIDP/nlcAlwLX4+q48Uu0Iq68YGOV/ZT8MeE5EoiyOSSlVxzRq1o5md05mZtK53OG+kTFTdnD5mzPZczA02wir8mkzMKVUbet1zi3MbD4CgH4rHmf2T+9aHFHtqWpl5V/ArcaYN40xi/3Lm8BtwB3GmA+Bf+Cr1FjKGLPdGLPA/3kHsAdoYGlQSqk6yRUeSd+b3+bsC68mMszOtLV7eei5F1k+c7zVoSmllApxfa54jDlJZ2ETQ4sZ9zNzxWarQ6oVVa2sdAE2lrF9o38f+JqENTraiURksIh8LyLbRMSIyNlllBkpIhtEpEBEZopIlZ5miUhPwG6MCY3vrlKqSs7KaMx3Nw/gmKQ8HnKPoc24i5nxwQMYb+h1bFRKKVU3iM1G9xFv8kfsaVxRdA/Xf7qctbsPWh1WjatqZWUFcI+IhB3aICJO4B7/PoDGQEVmEY4CFgIjy9opIhfhm7V4NNDDX3aCiDQsUWaBiCwpY0krUaYB8B6+5mpKKXVErRvGMPaGoayJ649DvPRb8xxLnz8Hd2Gu1aEpi2mfFaWUVewOJ73+8T7hTTPIyndzzTuz2Rfks9w7qnjcSOA7YIuILPJv6wLYgdP96y2BV452ImPMT8BPACJSVpHbgbHGmLf9ZUYApwHXAI/7z5FxpGv4Ryf7BnjcGDOtAmVLjmYWA+B2u3G7KzeD6KHylT2uPtOcQ0Oo5BwWHkXXkR8x4+tn6bH8KbrnTSV56WpWt2hEm4yBVodXK6rzvQ7W/z+MMS8DL4tILJBldTxKqdAS7rQz9openP3KVBL3LWDFC8/Q47bPCQ+PsDq0GlGlyooxZpqItAAuBdr6N38OfGSMyfGXeb+6wfnf3PQEHitxba+I/Az0r+A5BHgH+LWCMd0LPFB648SJE4mMjKzIJf8mMzOzSsfVZ5pzaAiZnCM68HX6/Qza9BJNZBeFP1zAd39chr3FcZT9jCX4VOV7nZdXPybZFJFIYDnwuTHmTqvjUUqpo0mMdvHOpZ2IH3sliYXZTH/1Gvrd+iFiq2qjqbqrqm9W8FdKXgtgLGVJwve2pnRzsp1A+wqeYwBwEbCoRH+Yy40xi8sp/xi+ZmeHxABbhg0bRmxsbAUv6eN2u8nMzGTo0KE4nc5KHVtfac6aczDbs+tcZr55JX2988nfu4mZKU14+MyORLmq/Ku0zqvO9zo7O7uGogq4fwEzrA5CKaUqo1XjFJYdN4b4X4fTP2sck98bzbFXjbY6rICr1h1WRDoC6UBYye3GmO+qc95AMsb8QSX65hhjCoFCERmJr7mbDcDpdFb5j7LqHFtfac6hIdRyTmqYxowut/Jb/moeXdKW/EU7WLo9h5cv7k6HtDirw6tRVfle14f/N0SkDb6HX98DnS0ORymlKqXjsRcwf+dqui97gkHrn2fuxHb0HHaJ1WEFVFVnsG8pIguBJcCP+PqDfAN87V8CZQ/gAVJKbU8BdgTwOn+j4+grpcpis9kYeMFtvH/9YFJjw9mwO4ftr53DrC+f09HCAqyWRot8Gl/zX6WUqpe6X3Avc/1DGrefehvrl860OqSAquqbleeB9cAJ/n/7AInAM0DA2vsaY4pEZK7/Ot8AiIjNv/5SoK5TltJvVpRSqqRezRsw7tZBfP7W0xy/dy4snsucjX/QYfj/iIqJtzq8YHFotMi3gK9K7ywxWuQIYCYwCt9oke2MMbv8ZRZQ9r1uGNAbWGWMWSUixxwtGB2ApfpCMW/NOTRYnXPHq19h6fMb6FS0ENcXl7Er8TcSEks/6w+s6uZc0eOqWlnpDxxvjNkjIl7Aa4z5Q0TuBV4Aulf0RCISDbQusamFiGQA+4wxm/DdiN4VkTn4hokche8G9nYVY68QHe1FKXU0DaLCGH7T3Uz/IJfe616hV3YmG58dwK7z36FFx95Wh1fv1fRokSLSD/g/EbkAiAacIpJtjHmonEN0AJYACcW8NefQYGXO7pY3ELf8QRZ6mvP6m9O4qqMLey08cq9qzhUdhKWqlRU7kOP/vAdIA1bimxSyXSXP1Qv4rcT6oc7t7wJXGWM+FZFk4CEgFd9kkycbYyoyh4tSStUom91O/ysfZdmMQSSNv5Fm3i3kf3oqs7r9m95n3xyUI7PUBYEYLdIYcy/+JmAichXQ+QgVFfhzAJbh/sUGtNEBWCouFPPWnDXn2rRufW/++cFacnO8LJB0/n1qRcejqrzq5lzRQViqWllZAnTD1wRsJvBPESnCN+HiusqcyBgzCTji4J/GmJeo4WZfpWkzMKVUZXTsdzL7Wv7BoreuoGvBHPos+jcTt61m4PXPEhkWvKOFWSgQo0VWyqEBWPA1eX7m0Jt3HYCl8kIxb805NFidc7u2bXn2oliuf38u783YyOCkbE4cOKBGr1nVnCt6TFX/EH+kxLEPAC2AKcCpwK1VPGedoh3slVKV1aBhYzrfNZEZzUdy0IQzZmtHznxpKqt25hz9YGUpY8w7FZ1jRWewV0rVZcM6pXLbsU14yfki/TPPZcOKeVaHVC1VqqwYYyYYY77yf15tjGmP7ylXQ2PML4EMUCml6hOb3U6/q/7Lyov+YF90G9bsOsiZL/3B+EmTrQ4t2Fg2WqRSStV1Nw/tSMvIfKKkANunl5GTtc/qkKqsUm0TROStCpTBGHNN1UOqG7QZmFKqOnp2bMO49HRu+3QBOWtmcMJvo5k1fxidh79OZHRwz8lSG6wcLVIppeo6u8NJ6jUfsfPVwaSbrSx84zK63vFDvexHWdmIrwKOA+KBhCMs9Z42A1NKVVdStIt3r+7DqE552PDSJ+sndo0ZwMblc60OrV4QkWgRyfCPEAn+0SJFJN2/PgYYLiJXikgH4FVqabRIvT8opeq6BilN2H/GmxQZB91ypzLroyONH1J3Vbay8ioQh6+Pym/AtcaYc0ovAY9SKaXqKZtNGHLZvawY9iF7iKe5dzPJn5zC7G9etjq0+qAXMN+/gK9yMh/f6JAYYz7FN7fXQ/hGisygFkaL1D4rSqn6on3P45jX8W4Aeq5+nhWzfrY4osqrVGXFGDMSaAQ8CZwBbBaRz0TkJClnEHyllFLQacBpMOIPFru6EymF9F5wH7Oeu5j8XO18Xx5jzCRjjJSxXFWizEvGmGbGGJcxpq8xpsanbtY3K0qp+qTvBXcyN+Y4HOIl5qebyDpYsflN6opKN1wzxhQaYz42xgwFOgJLgVeADf4JHoOCPjlTSgVaUmpTOt71MzPSb8BrhD4HxvHqS4+zZpdWWJRSStUMsdloc91bzLV15taCG7jv2xUYY6wOq8Kq28vGCxh886TYqx9O3aFPzpRSNcHucNDvmidZNvQ9vpYTeWF/f858aSpfz99idWiqgvRhllKqvomNa4D96h9ZIB34cfF2Ppm92eqQKqzSlRURcYnIxSKSCawCugA3A+nGmIOBDlAppYJR54FnMuD2DxnQOom8Ig//+nQmv7x8CwV5+mu0rtOHWUqp+iijaTx3ntQOgA++n8CmRb9bHFHFVKqyIiKvANuBe4AfgKbGmAuMMeOMMd6aCFAppYJVw5hw3rumL6NObMMjzrc4Yfe7bH96ABtXLrA6NKWUUkHo+kEtua7pNj63/YuIr6+iIGuX1SEdVWXfrIwAsoF1wLHAGyLyVekl4FFaQF/zK6Vqg90mjDqxLW1PuoE9xNPCu4Hkj4Yx57tXrQ5NlUPvD0qp+spmE274v3PZJYkkm71sfOtqqOP9VypbWXkP35DFB4CsIyz1nr7mV0rVps4Dz4QRU1ga1o1IKaTXvHuY9fwlOlpYHaT3B6VUfZacmMjuk1+n0Dhpl/UHa8Y9Z3VIR1SpGexLDheplFIqsJJS00n4569Mf/ce+m76H332/8j6ZwZgu/gDmrXpanV4SimlgkTvfoP5YfFNnL71eZrM/i85nU8gplndvM9UdzQwpZRSAWR3OOh/7dMsO/Fd9hBPtOcAl723jC/n6mhhSimlAuf4K/7NDHtPwiki56MrwJ1vdUhl0sqKUkrVQZ0HnQUjpvBCykNsdsdwx+cLuevzheTnF1gdWsjTPitKqWAQ6XISeeHr7DZxpBWuZ9l3Y6wOqUxaWVFKqToqKTWdB0dcye1D22ITyJ//OTuf6s3G5XOtDi1oiMgGEVkkIgtE5LeKHKN9VpRSwaJruzZM7vgQzxefw+VLerAru+49ENPKSjn0yZlSqi6w24RbTmjDB9f05M6wL2nu3UTyJ6cw6+sXrQ4tmBxjjMkwxhxndSBKKVXbzjzvCjJTrmVvvpd7v1pc52a318pKOfTJmVKqLjmmTSrRIyay2NWDSCmkz8L7mf3sReQdDIoBGJVSSlkkzGFjzIUZhNlt/L5iG4u+GQPeujN9olZWlFKqnkhKbUrHf/7M9GY34jFC76zx7B4zgA3L51gdWo0QkcEi8r2IbBMRIyJnl1FmpL8pV4GIzBSRyj5gMsBkEZktIpcGJHCllKpn2qbEcPNxrfgg7L90W/gQuZPqTv8VrawopVQ9Yrfb6X/146w46SN20YBm3s00/ORUvvtjbp17dR8AUcBCYGRZO0XkImAMMBro4S87QUQaliizQESWlLGk+YsMNMb0BM4E7hORujl2p1JK1bARQ1ozLWooAK7fH4NtC6wNyK9S86wopZSqGzodcyp7W//BoreuYObBhjz6ww4mbV3Iw2d3JsoVHL/ajTE/AT8BiEhZRW4Hxhpj3vaXGQGcBlwDPO4/R8ZRrrHV/+92ERmHr9KzqKyyIuICXCU2xQC43W7cbndF0+LQMSX/DRWhmLfmHBqCIWcBjr3wVsa/NYOT7bM5+NFVuG6aDM7IMstXN+eKHhccdzSllApBiQ0bk3DXRKZOWoXt53V8NX8r2zat5rFT02nRqa/V4dUoEQkDegKPHdpmjPGKyM9A/wqeIwqwGWNyRCQaOB747AiH3As8UHrjxIkTiYws+2Z+NJmZmVU6rr4Lxbw159AQDDn/kngNGfvXkHpwPav/dxXLml11xPJVzTkvL69C5bSyopRS9ZjNbufGEzrQo0VDbvt4NnfmPEmjz9Yzq+v99D7nFsQWtK19kwA7sLPU9p1A+wqeIwX42v/Wxo7vLc3sI5R/DF+zs+H+xQa0GTZsGLGxsZUI3fdEMTMzk6FDh+J0Oit1bH0WinlrzppzfXO828MDL+xiTMEDtNn3Ky1OuBrT9pS/latuztnZ2RUqp5UVpZQKAn1bJvLDiJ5sHhtHeIGbPosfYM7GKXQY/iZRMfFWh1cnGWPWAd0qUb4QKBSRAuDwUDlOp7PKf5xU59j6LBTz1pxDQzDk7HQ6uejCy3njrVlc7/iR4vH/Irz9qWAvu9pQ1ZwrekzQPnKrLp1nRSlV3zRITKbLXROY3uJmio2NXtk/s/fZY1i3ZKbVodWEPYAH39uRklKAHTV5YR3aXikV7Pq2TGRD19v5uPg4RvBvii2sMmhlpRx6M1JK1Uc2u53+Vz7K6lM/YRcNSPduJe3z05j1xRhMHRo3v7qMMUXAXOCEQ9tExOZfn16T19aHWUqpUHDnaV15IuwmJu2O4p1pGyyLQysrSikVhDr0PQnnyGksCu9NuLiJWfQWd3w8m4OFxVaHVmEiEi0iGSKS4d/Uwr+e7l8fAwwXkStFpAPwKr7hjt+2IFyllAoqDaLCuOdkXxfAZzNXsXfRBNi5rNbj0MqKUkoFqYTkRnS+awLTW43iH8Wj+GrxHs548Q+WbatYp8Y6oBcw37+Ar3IyH3gIwBjzKXCnf30BkAGcbIwp3ek+oPTNu1IqVFzYqyk90uM5xfMriV9dCF9eC+78Wo1BKytKKRXEbHY7/S8fzePXn0ujuHDW78nl+1fvYebnT9f5ZmHGmEnGGCljuapEmZeMMc2MMS5jTF9jTI130NFmYEqpUGGzCY+c3YXfTXd2m1jYtQzG31u7MdTq1ZRSSlmiV/MGjLtlEFe2yOZO20f0Xfow8549l5ysfVaHVu/omxWlVCjpmBbLGcd04zb3SLwIzH0bFn9Ra9fXyopSSoWIhKgwHrjuQma3uZViY6Nnzm9kPXcMaxZOtTq0ekXfrCilQs1tQ9uyOroXLxef5dvw/a2wb22tXFsrK0opFUJsdjv9LhvNmtM+ZwdJNDHbafrVWcz87Mk63yysrtA3K0qpUBPtcnD3ye15rvg8ZpsOUHQQx5fXYvMW1fi1g76yIiLxIjJHRBaIyBIRGW51TEopZbX2fU4k4h9TWRDZH5e46bvsUWY+exHZBW6rQ1NKKVUHnZ3RmM5NE7m5cCQH7XHIriWkHZhd49cN+soKkAMMNsZkAH2B+0Qk0dqQlFLKenGJqXS7cxwz2tyO29j5bl9TznjxD5ZszbI6tDpNm4EppUKRzSY8cEZHdtKAm/JvZOPAp9jSYEDNX7fGr2AxY4zHGJPnX3UB4l+UUirkic1Gv0sfYNX5E5kcfRob9+Zx7ivT+GzSXG0WVg5tBqaUClU90hM4KyON371duWN1J4yp+WtaXlkRkcEi8r2IbBMRIyJnl1FmpIhsEJECEZkpIpW6Qfibgi0EtgBPGWP2BCh8pZQKCp269OLHWwdxYocUwj059P/1IuaPOYuDWXutDk0ppVQdcvfJ7Ql32piz8QAL9tX883/LKyv4ZhteCIwsa6eIXIRvIrDRQA9/2Qki0rBEmUP9UUovaQDGmAPGmG5AC+ASEUmp4ZyUUqreiY8MY+wVPXm6Xz4pso8eB38n7+XBHNy71erQlFJK1RFp8RGMOLYVAN9ttFHg9tTo9Rw1evYKMMb8BPwEIFJm7ex2YKwx5m1/mRHAacA1wOP+c2RU8Fo7/W9YBgFlDhAtIi58zcUOiQFwu9243ZXreHqofGWPq88059AQijlD6OR93GmXsCatCXE/jcDuLeL51fH035tD08SYSp0nWL9OIjIS3wO2uvDATymlat0Ng1vxyaxN7Mgu5K2pG7l1aLsau5bllZUjEZEwoCfw2KFtxhiviPwM9K/gOVKAPGNMjojEAYOBV49wyL3AA6U3Tpw4kcjIyMqEf1hmZmaVjqvPNOfQEIo5Q+jk7e4wmslr99E1KYbFM6ewuJLH5+XlHb1QPWSMeRl4WURiAR2NQCkVciLC7Nw1rC0vjl/EgNY1O25Vna6sAEmAHdhZavtOoH0Fz9EMeEN8r20EeNEYc6R77mP4mp0dEgNsGTZsGLGxsRW8pI/b7SYzM5OhQ4fidDordWx9pTlrzsEsFPM+paiIiZk/Vynn7OzsGopKKaWU1c7omop9y3y6NYmr0evU9cpKtRljZgEZlShfCBSWfs3vdDqr/MdJdY6trzTn0BCKOUPo5W2TquUcSl8jpZQKNSJC2T04Aquut7fdA3iA0h3iU4AdNXlhHZpSKaWUUkopa9XpyooxpgiYC5xwaJuI2Pzr02vy2jrpl1JKKaWUUtayvBmYiEQDrUtsaiEiGcA+Y8wmfP1H3hWROfgqDqPwDXf8dk3GVboDZVXaXrvdbvLy8sjOzg6Z5hCas+YczEIx7+rkHCp9VvT+UHGhmLfmrDkHq+rmXNHfnWJqY+rJIwUgMgT4rYxd7xpjrvKXuRm4C0gFFgC3GGNm1lJ8jfFNJqmUUqpqmhhjgm6yFr0/KKVUQBzxHmF5ZaWu848ilgb8wl/7r8w6wvqhzzH4bmRNgJxqhlL6etUpW97+srZXJM+SnwOZ85FirWw5zfnI24+Uc+n1WfiaYlqR89HK1mTO9e1nuq7kHANsM0F4sylxf8ih4r83Dq3rz1Dd+RkKxZyPtL8yOZZeD5acy9oW6n8L1NTvsaPeIyxvBlbX+b94W0XEa4w5/L7qSOuHPpeY5DKnZNmqKH296pQtb39Z2yuSZ8nPgcy5IrlUtJzmfOTtlf3/mz9/KdVqzkcrW5M517ef6TqUc9C2BTt0f4CK/944tI7+DNWZn6FQzPlI+yuTY+n1YMm5rG2h/rdADf4eO+pxdbqDfR3zciXWS++rietXp2x5+8vaXtE8ayLnypxXc674/srmXHq9Lv//HYo5l7e/LuYczCrztazL/z+F4s9QKOZ8pP2VybH0erDkXNa2UP9boDZ+j5VJm4HVoBKzG8cFopZdH2jOmnMwC8W8QzHn2hCqX9dQzFtz1pyDVW3lrG9WalYhMNr/b6jQnENDKOYMoZl3KOZcG0L16xqKeWvOoUFzriH6ZkUppZRSSilVJ+mbFaWUUkoppVSdpJUVpZRSSimlVJ2klRWllFJKKaVUnaSVFaWUUkoppVSdpJUVpZRSSimlVJ2kM9gfhfimJE3jz1k6lVJKVVwMsM0E4dCTen9QSqlqO+o9QisrR5cGbLE6CKWUqseaAFutDqIG6P1BKaWq74j3CK2sHF0OwObNm4mNja3UgW63m4kTJzJs2DCcTmeNBFfXaM6aczALxbyrk3N2djZNmzaF4H3zoPeHSgrFvDVnzTlYVTfnit4jQqKyIiIjgbuAVGAh8A9jzKzKnCM2NrZKN6PIyEhiY2ND6n9czTn4hWLOEJp5h2LOlaX3h4oLxbw1Z805WNVWzkHfwV5ELgLGAKOBHvgqKxNEpKGlgSmllLKciIwUkQ0iUiAiM0Wkj9UxKaWU+lPQV1aA24Gxxpi3jTHLgBFAHnCNtWEppZSykj7MUkqpui+om4GJSBjQE3js0DZjjFdEfgb6l3OMC3CV2BQDvlddbre7wtfOKXDzzaw1xK2bxJxvN2APC8fmcGFzhmFzhGN3huGNScXEtyDMbiPMDuH5O3CGuXCEheN0unC6wnE4w6qSumUOfY0q87Wq7zTn0BGKeVcn53rwdTr8MAtAREYAp+F7mPV4TV74jzV72bZxBXO/XoXYHYjYQMT/rw0RGzvSTsQ4I7GJEJe1gsi8LcihMjZfGREbYrOR07AXOCMRESIObsZVsAOhRDmbHfF/die0RsIisIngKNiHo3C//7z2w+UczjDsDieOyAY4wsJw2m047YJvADSllKo9QV1ZAZIAO7Cz1PadQPtyjrkXeKD0xokTJxIZGVnhC+/Mh7cXZDE9/C3IKrvMR8XHc1/xdQDEcZCF4df/rYzHCIWE8aM5hsfkOpw2iBAPz5v/UiRhuMWFW1wU2iIoskdSbI9gX1gTNkV3I8IOEXZDQ+8O7M4I7GER2B21U/nJzMyslevUJZpz6AjFvKuSc15eXg1EEhhWPswC+HzOZgbvmka/fZPKLdN72svsJgGABxzvcrVjQrlljy0cw0aTCsA/HZ9wk+O7csueXPg4K0w6ADfbv+ZO5+fllj2v8AHmmnYAXG3/iX85PqQYO24cFIsDD3aK/Z+fCB/FqrCOOO02+hfP5Jz8r/CKk2KbC489HK/dRbE9HFdeEe8UQl5Ce8KdNpLd22icsxBbWCT2sAgcrkjCouIIj04gIjqeqLgkXOHh5cZY1+lDjtCgOVf9+KMJ9spKVTyGr1nAITHAlmHDhlWqA+W2A/msypvOjC09iHDasBs3duPG4fX/a9wUhCeTIi6KPF5iPIZC48Qlf/3G2cUQSSFej2Ffse+JVhRuuoWvgHJGpP7B05eHtvUAQPCy1nU3NvEVLjRODkokByWGXEc866J7MjP9OhKjXSRFh9E+ZyaRcQ2ISWxMg9R0wlyVu0G43W4yMzMZOnRoSHUw05xDQyjmXZ2cs7OzayiqgLDsYRZA2EHhQEQzpnt6IhhsGMCLAGK8CIb0WDvxeDEIecXJLDZtEWOw4QXwH+crmxDuoAiDAdwmmo00Agw2YxC82DCHy4c57MRgMAaMODlgog+XsfnLOPDgFA/F2A/H7KQYh3hx4CWcUn9kGNiTlcNK70EAMuxb6OhcWm7+1yzozK9e358g59p+Z0zYa+WWvbXoJn4wAwi3w2D7EkbJx+RLBAUSSYEtknx7DG5HDEXOGHZGtqc4siFRDoh2eAm3C2KrG2+D9CFHaNCcK66iD7SCvbKyB/AAKaW2pwA7yjrAGFMIFB5aP/TK2+l0VupG3SzZyWOXH8+4cQWceuqpZR57DaU7zvwfxuuluNiNu6gAd6FvKSrMp6fXwTdhSeQXeSgsyGPuxufwFuXiLcrDFB7EFGRjK8zGXpRNlrMdfZwNyC5w48nP4WBhBNEmH5sYXOLGRRaJJgvcW1i3J4r3t28GwIaXVa4bcYjvRug1wm5pwD5nCrkRaexL6sne9pfROD6CJgkRNI6143JFlJl/Zb9ewUBzDh2hmHdVcg7Cr1FAHmYBDHW7ycw0dBv6eLlfp0/+snbSEc/313cjRy775d/KvlBmuSKvl4+9hmIvuD1eigv7sC3vdjxuN57iIoqL3XjdRXiKi/AWu7klphU3OKJxe7yEZTVg9r7OGI8br7sAU5SHKS7AFOaStXcnXdp2I8nZmHy3h/SsZiw80AuntwCntxCnKSDCm0eUySNa8jlIBB4j5BZDuPcA7cI2+B7W+ep3UMzhu/Ztu27ka28aAMfZ5vO6cwx7pQEHnMnkulJwR6ZAbBqO+MY40vuQmNaC5OgwHPaa68KrDzk052BV3Zwr+kArqCsrxpgiEZkLnAB8AyAiNv/6SxaGVi6x2XCGuXCGuSA6rpxSidDp6nLP0Qu49C9btuP1eMjOOUBu1l7yc/aTl7WLggM7sXnjGBnWij05RRzM3se6ba2JLd5PgjmAS9yksJcU915wL+OH/Qe5d1k3wFexWea6mi22JHZHtKAgrjWOlPbENOmAp6ggQF8NpZSqMZY9zCqprld8/9pwOBJIruCRaZTVms7tdjNu3DhuPvWUEnn3BG4q8yze4mKeLSomp8hwsKCYgn2tWLizJ+68A3jysvDm7Ye8vTgK9hFWtB9nXCuaFEWwL7eIRE82YeKhEbtp5N4N7mVwENjlO/dt027ka+8gHDZhWOxGRvAl+dHpmAYtiUhtTUKT9qS16BiwvqN1/XtdEzTn0FDVnCt6TFBXVvzGAO+KyBxgFjAKiALetjKo2maz24mNTyQ2PvFv+079y9psAIzXy55dW9m3bS05O9bi3ruRbE8qx9OQLfvzcO/fQri4aWK20yRvO+RNg+3AAl/7iR9XfkZm6/vp2iSebk3j6JgURkRUdM0nqpRSFVAfH2aFIpvDQazDQeyhVnap7aFjea30oFuJzwUFx7Jj13Cydm0kd/dmivZvgaytOPN2EFmwk9ywdBwHhWKvIT5nNV2ds6Fgtq8au8p3jiLjYJ29CeMb3wytjqNdSgxtk8JpkhiD2EJhQFWlrBf0lRVjzKcikgw8hG9SyAXAycaY0u2UVQlis5GU2pSk1KbAEAD6AZf49/sqM4PYsWYBuVuXwe6VRGevJaVoI0kcYE1BDN8s2MY3C7aRRBYzXCNZZ09nd0I37C0H0bznSSSlpluUnVJKAfowK6iFh0eQmt6G1PQ2Ze5/A/B6DTtzCtixPpXZa5tSvHcdruwNxOVvoVHxViKlkJbeDfy2JpvZq1cCcIF9Ev92fsgmVxtyErsS3qwXjToOIKVxS63AKFUDgr6yAmCMeQl9UhZQvspMur/Ccebh7W63my++/ITubbtz+34Xi7YcIHLTMhweLy29G2i5dwPs/RZm38lGWxN2JPTC1vNyOvc6jogwe7nXU0qpQNOHWcpmExrFRdAooydk9PzLPq/Hw7ZNq9m1dj5DTUfS9npZuSOHdnu3EksunQsXwLYFsO09mA57iGdLZAdWdLmLdp160LlxHM4a7AujVKgIicqKql3OiFj6d2nHYH9bROPtya7t57NlyR8UrfuDpD2zaVm8jmbeLTTbu4W7fmzIZePcHNMqkZNaRXBi2zh966KUqhX6MEuVx2a3k9aiPWkt2pNRYru7qC9rls9h76oZyLZ5JGYvo1nxBpLkAEl50xk+eTu7J08jwmlnZPICukftpaA4icL8Y3E64y3KRqn6SysrqsaJzUbDxi1o2LgFcDkAWXt3sm5uJkUrM1me05fCbC+/rdxNszXjueCX91kS3o3ctmfT7thLiE8q3f9VKaWUsoYzzEXrbgNo3W3A4W0FeQdZs3QGu9fMJ8Pdntkb9nEgz02X3T8yYN8iAPKfeZqFEd3ITx9Cox6nkt42Q5uNKVUBWllRlohLTKH7sMtg2GV8bwwrd+bw64pdtJzxPvYC43u9vngB7kUPMz+6P/be19B50NnY7NpUTCmlVN0SHhlN+94n0r73iQzC1xdmze6D7J6yljkbEmmWM59kOUC3gtmwajaseoqNksarHT9mULsUBrZOIi4ytEaQUqqitLKiLCcitE+NpX1qLAz5hG3rV7Bxygc03PgjrTzr6J77B0z6g82T/8UPA7/i/D6tSI5xHf3ESimllAVsNqFtSgxtz78Ft/tGfvzhRzq1bMjexROJ2jyZtgWL2eBJ4pO5W/lk7lZsAm/FjsWV2o7kHmfQqssx+tZFKT+trKg6x9dG+BHgEdYvm83O316n4+5xLCluwhOZ63n2t42c37MJI3rGkp7ezOpwlVJKqSMSm9C8Y2/adDsGgPzcHFyr1nHtVie/r9pN9q5NDCn8DTb+BhtfY/fXCayP74+zw8m07ncGMXENLM5AKetoZUXVaS069qZFx97k5+bgnb+KjIUFLNh8gD9mzebBBXcyL2YgsUP/SetuA60OVSmllKqQiKgY+nXvRr/uvvUdu3Yx6/cHCFuXSdvcuSTLfpIPjIPp4yiadhufxF3Bwd63MKRdQ1olRx2ekFSpUKCVFVUvRETFcNrAnpw6wDB7w35Wff8MYfs89Dg4Gb6ezNzMIaSc/ShNWne2OlSllFKqUlIbNiT1/NuB2yksyGPxrAnkLhlH491/0JRtTN0Txfc/LueRH5czOH4PI2N+J7zTqbTrezLhEVFWh69UjdLKiqpXRIQ+LRrQ55ZHWbfkTPZNfJIeWb/Q8+Ak3O8PZmby2bS+4CESU5pYHapSSilVaa7wSLoMPgcGnwPA5jWL6b3FxoG1B5m5bh9dcv6gb8EXMOkL8n5zsSCqB4XNT6RZ/7NJbdra4uiVCjytrKh6q2XnvrTs/CVrF88g98f76Vowm757vmT3K7/w1pDxXD64nU7IpZRSql5r2roLV7SGK4ZAbmExS6d7mLUon+b7ptJQ9pGRNx2WTYdlD7Pe1pzxXcbQM6M7PdLjceg9UAUBrayoeq9Vl37Q5WeW/PEdrt9G81VBL16dsI5PF+zmsfO60CM9weoQlVJKqWqLcjnoM+R0GHI6xutl7dJZ7J77HfFbf6NN0XKSPDsZM/Mg7pnTiQ13cEfqfDo2iqVV/7No0LCx1eErVSVaWVFBo/PAM/H2P40WczaSMGENK3fm8Ohr73Bn83X0uOIJXOGRVoeolFJKBYTYbLTq0s/3wA44sGcHSxbM5NQ96UxetZsDeW4Gb3uLFjt24p13HyudbdnX+DiSup9Oqy7H6Lxlqt7QyooKKja7nQv7tmRo5yY8+v1Cblx2B622bWf9k5PxnPWKjhqmlFIqKMUnpTLwxLMYCHi8hgUbd7Hj51Px7phMK8862hWvhI0rYeNr7PkmngWJp7Gv/70c0yqRJgn6ME/VXVpZUUEpISqMp/+vN/Mm/It90++jhXcj7q/OZMb8EfS5/GF9oqSUUipo2W1CzxYpMPw5AHZtXc+GGd/gXJtJu9w5JMkBdu3czn1fLAKgeYKTx8Pfw9FiAOk9T6Zh4xYWRq/UX2llRQW1Hiddzr7uxzPv3RH0yP2dfhteZsEz82gx/APiEpKsDk8ppZSqcQ0bt6DhebcBt1FYkMeS2ZkU7Ra674hn0ZYsGhxYSj/X97D/e5h3D5skje0NeuNoOZhmPU8iKbWp1SmoEKaVFRX0GjRsTMId3zL7mxfpuvBhMvKms/WFY9h5yQ+0bdPW6vCUUkqpWuMKj6TzoLPoDFwFHCwsZsniZGbMuZTEPbNo6V5DOttI3/st7P0WZt/BC+Ej2NPhco5plUjfFokkRIVZnIUKJVpZUSFBbDZ6n3sra1r1JPKbq1lZ3IiR763mv+dGck53nZNFKaVUaIp2OejXqzf06g1A1v49rJubSeGqSSTvnUWL4vVMykpl3vSNvDd9I6faZ3JH+HfsTupLeJshtOw1jNj4RIuzUMFMKysqpLTuNpCsJn/w+ddLyF9TwG2fLmTznoP844S2iE3Ho1dKKRXa4hKS6H7ixXDixYBvlLEbtrmZuj6L6Wv3csy+JbTyrKfVzvWw8xM8U4RVzjbsTe5DVNvjaNXnZMLCXBZnoYKJVlZUyIlLTOHlaxry1MSVvDppDQ0n383s5TH0uPEtHE59ta2UUkodEp+UyklJcFJXX7+V3TtaMGfuRDxrfydt/2yaso22xatg+yrY/gGDMl8iuUlLkjw2UpYso3uHNjp1gKqWellZEZHmwL+B44FUYBvwAfCoMaaoRLmuwMtAb2A38KIx5slaD1jVOTabcPfJ7enCGk6aPhn7PsOCMWfQduRnREbHWR2eUkopVSclp6aTfNp1wHUA7Nyylk1zJ2DWT8GevYnN3gZs3nQAsHHRV7fisS1jflRPipofR9M+Z5HWvJ2V4at6qFqVFRGxAccCg4BmQCS+SsF84GdjzOZqR1i29oANuAFYA3QGxgJRwJ3+2GKBicDPwAigC/CWiBwwxrxRQ3GpeubUk09nnrxEx2mjyMifwcrnhpJ64/fEJaZYHZpSSilV56U0aUVKk5uAmwCYsi+PKat28eWURbTO3UEkhXTPmwbLpsGyR9lka8y2pAFEdz2L9v1PxWHXJtjqyKpUWRGRCOAO4EagAbAA39uNfKA1cDYwVkQmAg8ZY2YEIthDjDHjgfElNq0TkXb+eO70b7sUCAOu8b9tWSoiGcDtgFZW1GE9TrqMFfENafTTVbQrXsnqV06FkeOJa5BsdWhKKaVUvdK0QSQX9GxM1M6FpJ60gDUr57Jn/o/Ebp1M26JlpHu3kr7rM2ZOXESvX8M4oX0KJ3dOZVDLOMLDw60OX9VBVX2zsgqYDgwHMo0x7tIFRKQZcAnwiYg8aowZW/UwKyQO2FdivT/we8lmYcAE4G4RSTDG7C/rJCLiAkr2DIsBcLvduN1/S/OIDpWv7HH1WX3NuVWP49gY8SXery6gjWcNq18+Bc8N3xNTgblY6mvO1RGKOUNo5l2dnEPp66SU+jub3U7rbgNo3W0AANkH9rJmxvcUr5jA+KxmHMhz8+W8Lfw6bxm/u25jWXRvvB3PpNOQ/yMiKsbi6FVdUdXKyjBjzPIjFTDGbAQeE5GngfQqXqdCRKQ18A/+fKsCvr4s60sV3VliX5mVFeBe4IHSGydOnEhkZNU6iGVmZlbpuPqsvuZc0Owehm14jObF67jntbfp3akTERX8KamvOVdHKOYMoZl3VXLOy8urgUiUUvVVbHwiPU6+Ck6+ih4eL8M27GfC0h2w6FNiivPpkfs7zP6d3Fn3MzthCBE9L6FD/9OwO+plF2sVIFX67h+tolKqrBtYW5GyIvI4cPdRinUwxqwocUxjfE3CPg/Q25vHgDEl1mOALcOGDSM2NrZSJ3K73WRmZjJ06FCcTmcAQqv7giHn9Uu789A3v/F1XjfW7ojjrSt6EhNe/o9KMORcWaGYM4Rm3tXJOTs7u4aiUkrVdw67jf6tEunfKhFz+oOsXjSUPbM+p9n2n0hjF70PjIdfxrPrlwaM7/gYfQafSvvUyv0dpoJDtauq/hG3ymKAAmCTMaawgqd7BnjnKGXWlbh2GvAbMA24vlS5HUDpXtIpJfaVyR/r4XhFBACn01nlP06qc2x9VZ9zbpsxgOsadubXsTNZsDmLez/8nRevPpYw15Hb0tbnnKsqFHOG0My7KjmH2tdIKVU1YrPRJmMQbTIGYbxels/OJHvWh3TY+zMNzAGen+dl77wp9EiPZ3hXJ8f17ER4RJTVYataEoj3agvwVUzK4xaRT4EbjDEFRzqRMWY3vtHEjsr/RuU3YC5wtTHGW6rIdOBREXGW6FMzFFhZXn8VpQ7plBbHB9f25Z9vfM292/7Lwpe70mvUZzpxpFJKKVWDxGajQ9+ToO9JFBbkMWfGr/TanMqvK3Yxb9MB4rc/Qv7Pm1mQeiZNh42kcctOVoesalgg/vI6B1iN781Ghn+5HliJr4P9tfjmQ3kkANcCDldUJgGb8PVTSRaRVBFJLVHsI6AIeFNEOonIRcCt/LWJl1Ll6tIkjidOiKWJ7KZ3diYz/jfK6pCUUkqpkOEKj6TfkNN5/fJeTLvnBP51Qhot7LtIIId+Oz6k8XvHsOjxE1n42+cYb+ln1ipYBKKy8i/gVmPMm8aYxf7lTeA24A5jzIf4Or+fE4BrHTIU3xDJJwBbgO0lFgCMMVnAMKAFvrcvz+AbRlmHLVYV1vXYc5mXMRqA/tveZeZnOqeoUkopVduSY1wMH9qd5PtXMn/gaywK7w1A14LZdJt8Hese7cH0CR9T7NFKS7AJRGWlC7CxjO0b/fvA11SsUQCuBYAx5h1jjJS1lCq3yBgzyBgTboxpYox5IlAxqNDR55xbmJ5+AwC9lv6XBZkfWRyRUkopFZrsDgfdT7yYrvf8zJbLpjIj5f/IMy5aedbz2eSFDHl6Eu9N30B+kcfqUFWABKKysgK4R0TCDm0QESdwj38fQGP+HDZYqXqn31WPMyvhNOxiaPvHKDYsn2N1SEoppVRIa9K6M/1ufB33LYv5o8UopoUfy5b9+fzn26U8/th/mP7OPRzM1m7K9V0gKisjgdOBLSLys4j8jK9p1un4ZpQHaAm8EoBrKWUJsdnofuPbLA3rRqQUsvuLO8jK1wnvlFJKKavFJaYw8MrRTLpnGA+d1Ylm8U6Gez+h/4ZXcY/pyowPHqQg76DVYaoqqnZlxRgzDV+/kP8Ai/zLf4AWxpgZ/jLvG2Oequ61lLKSM8xFo+s+5ifbEK7PHcFtny7A6z3SQHhKKaWUqi0RYXau6N+cX+4Yws5ed7FZ0kggm35rniX7yS7M/OwpigqPODCtqoMCMg6rMSbHGPOaMeZ2//K6MSYnEOdWqi5p0LAxTa99jzxHPL+u2MVzP6+yOiSllFJKleBwhtHzjBE0um8hs7uMZgdJNGQffZc9wp7HuzJl/Gd49GFjvRGQyoqIXC4if4jINhFp5t92m4icFYjzK1WXdG4cx2Pn+saO2D75fyz8+WOLI1JKKaVUaQ5nGL3PG0XCPYuZ0e5u9hBPmtnJM5O3c/qLfzB97V6rQ1QVUO3KiojciG/ukp+ABMDu37UfGFXd8ytVF53bowlPdljHU843aD/jnxRm6fgRSimlVF3kCo+k38X3EXnnIiZ2fJy1rvYs357NxWNnMPbVp9i6bqnVIaojCMSblX8Aw40xjwLFJbbP4c+hi5UKOudcfD3LnZ2Ilny6rntF28EqpZRSdVhkdBzDLryRyXcdx+X9mtFEdnP5jidIfncw018fSU7WPqtDVGUIRGWlBTC/jO2FQFQAzq9UneQMc5FwxXtkEUV71rPovTutDkkppZRSR9EgKoyHz+7Me1f1ZHV4F8KkmP7bP8D9bDdmffksXo/O0VKXBKKysh7IKGP7ycDyAJxfqTortWlr1vR7HID+uz5h0a+fWhyRUkoppSqiZbsudL77FxYOfp3NkkYDsumz+EFWPj6QdctmWR2e8gtEZWUM8LKIXAQI0EdE/gU8BjwZgPMrVad1PeFiJoYNA6Dp73eye+t6iyNSSimlVEWIzUa34/+PlHvmM6PN7eQZFx3cy2j46RmM+X4WeUXFRz+JqlGBmGflf8DdwCNAJPARvskgbzXGfFLd8ytVH+S2u5C19pYkkM1Xn7+nQyIqpZRS9UiYK5x+lz5A9nXTmBc1iDeKT+eFqbsZOuZ3flmug+hYKVDzrHxojGkDRAOpxpgmxpg3A3FupeoDmyMM2/lvcp33Ph7b0YuxU9ZZHZJSQUlEmovImyKyXkTyRWStiIwWkbBS5bqKyBQRKRCRzSLyzzLOdYGIrPCXWSwip9ZeJkqpuii1aWt63PUDXS95hMbxEWw9kM+L733C3KdOZ8+2jVaHF5ICUlk5xBiTZ4zZFchzKlVfNGndhWFnXgLAmImrWL492+KIlApK7fHdu24AOgG3ASOA/x4qICKxwERgI9ATuAt4UESuL1HmGOBj4E2gO/AN8I2IdK6VLJRSddqJnRqReftgbhjUgoec79AzdwrON/oz57tXMV6v1eGFlCpVVkRkvojMq8gS6ICVqssu6NmEEzukkOrdzoa3r6WwIM/qkJQKKsaY8caYq40xE40x64wx3wFPA+eWKHYpEAZcY4xZ6m+S/AJwe4kytwLjjTFPGWOWG2P+DcwDbq6lVJRSdVxkmIN7T+tI9IWvscbeijhy6TXvHhY8fRp7tutbltriqOJx35T4HA7cBCwDpvu39cP3xOuVKkemVD0kIjx2dgcKn72YJkW7mP7e3fS//kWrw1Iq2MUBJSdI6A/8bowpKrFtAnC3iCQYY/b7y4wpdZ4JwNnlXUREXICrxKYYALfbjdvtrlTAh8pX9rj6LhTz1pzrv6bteuC+/XemfvowvTeOpXveNLJe78+sjPvJOOVaxGYLupwroro5V/S4KlVWjDGjD30Wkf8BL/ifSlFi+2igaVXOr1R9lhwXxbz+/6HJ9Jvps/V9Vsw8g/Z9h1kdllJBSURa45ucuORER6n4htUvaWeJffv9/5buNbvTv7089wIPlN44ceJEIiMjKxH1nzIzM6t0XH0XinlrzkEg8Ri+kqZ03ziWdmygz4J7eWjZHlq06Uasv9dc0OVcAVXNOS+vYq1PqvpmpaQLgF5lbP8A3yz21wTgGkrVKz1OupzZy36gd9Z4YsbfTG7HWUTFxFsdllJ1log8jm9kySPpYIxZUeKYxsB44HNjzNiajM/vMf76NiYG2DJs2DBiY2MrdSK3201mZiZDhw7F6XQGMsY6LRTz1pyDL2d30VVM/fRhijdM5+3s7jRYEc5/z2pPwfp5QZtzWar7fc7Orljf3kBUVvKBAcDqUtsHAAUBOP8R+V/LzwS6Ad2NMQtK7OsKvAz0BnYDLxpjdO4XVSvaXf0KO57rS2Ozk5nv3Erff7xrdUhK1WXPAO8cpczhYfZEJA34DZgGXF+q3A4gpdS2lBL7jlRmB+UwxhQChSViAMDpdFb5j5PqHFufhWLemnPwcDqdDLjmCZZvO0C7zxaxYkcOoz6axSPxP+E9/jicVXzTWl9V9ftc0WMCMRrYc8CrIvKCiFzmX17EV0l4NgDnP5ongW2lN1ZkNBilalJsfCJ7TvQ9hO279xuWThtncURK1V3GmN3GmBVHWYrg8BuVScBc4GpjTOmheaYDg0Wk5J1wKLDS31/lUJkTSh03lD/7Xiql1BF1SIvnm5EDuOqY5vzH8T7nFXzOzmcHs3HFfKtDCyqBmBTyceBKfBWCF/xLD3w3kMere/4jEZFTgGH8ta3yIRUZDUapGtV54JnManAmAPt+eVZnwlWqmkpUVDbh+92fLCKpIlKyr8lHQBHwpoh0EpGL8I3+VbIJ1/PAySJyh4i0F5EH8TVpfqkW0lBKBYlwp50Hz+xE22MvZK+JpZV3PQ0/HsbsL57RIY4DJBDNwDDGfAZ8FohzVZSIpABj8Y3cUlYPnYqMBlPWeXW0l2rQnP+uzSVP89KrcTyfO5TLxq/gvlPa1WZ4NSIUv88QmnlXJ+ca+joNBVr7ly2l9gmAMSZLRIbhe8M/F9gDPGSMeeNQQWPMNBG5BHgE3xwtq4GzjTFLaiJopVRw6zrkAr7Z7abdxnfoWjiP3kseYv6GSbQe/i4xcQ2sDq9eq1JlRUTEGGMCHUxlro+vbfNrxpg5ItK8jGIVGQ2mLDraSwBozn+V03QY7hV23pm2gbjstbSIqcXAalAofp8hNPOuSs4VHemlMowx73D0vi0YYxYBg45S5nPg84AEppQKeWFR8bS77Semf/44Pde8QPeDv7P5uQHsvegjmrfvbnV49VZV36wsFZGHgK9Kvbn4CxFpg6/Z1caKNAmr6Ggw+Jp+xeAbmSXQdLSXatCcy875VGDXV0v4fv4mbJumcMLN9+OKiKrdQAMoFL/PEJp5Vyfnio70opRSwcJmt9P/8gdZOfdY4r6/jgjvQS78aCl3nJ/KaV0bWR1evVTVyso/gCeAV0QkE98Qxdvwjf6VAHQEBuKbGPIl4NUKnreio8Ecj6+ZV+Gh0Vj85ojIh8aYK6nYaDB/o6O9BIbm/HcPntGZ81bczsCieUz/pDAoJosMxe8zhGbeVck51L5GSil1SLuex7G36e+M+exn1m1JYORH81iwuQV3n9QOh8NudXj1SlUnhfwF6CUiA4GL8HVmbwZE4GsbPB94D/iwvL4h5Zx3N74hho9IRG4B7i+xKQ1ff5SL8A1jDL4RXR4VEacx5lDD6dKjwShVa+IinUT1vxamzaP31g9YPf8C2nQfbHVYSimllKoBiQ0bM/rGy4meuJLXJ69j49TPWLnwZ1Ku+Yik1HSrw6s3qtXB3hjzB/BHgGKpzHU3lVwXkYP+j2uNMYc6XH6Er+/JmyLyBNAZ32gwt9VaoEqV0n3YZcxd/CU9c37F/v0/KOo4kzBXuNVhKaWUUqoGOOw27j2lAz0aRdL163/QqGgvu18bzKoz3qZtz+OsDq9eCMQ8K3WSMSYLX9+WFvhGg3mGUqPBKGWFFpe/xD5iaendwNwP7j/6AUoppZSq107KaEbRJV+xwdaUZPbT7LsLmPvjWKvDqheCorJijNlgjJGSs9f7ty8yxgwyxoQbY5oYY56wKESlDmvQsDHr+zwIQK9Nb7FuycwjH6CUUkqpeq9ZuwySRk1hQUR/XOKm5+w7mfHmHTofy1EERWVFqfqmx8lXMz9qIE7xkP/NKNzFHqtDUkoppVQNi45NoMsdPzA99RIA+m3+H/PGnENBYeFRjgxdWllRygJis9H0sleZTE/+kXsNb0wpPSWQUkoppYKR3eGg/4hXmdVlNG5jZ9EBF5e8OYf9ueXOBhLStLKilEWSGqWz54z3WGfSeP7n1azZlWN1SEoppZSqJX3OG8Xy07/mRcfVzNt0gPNem8bmfYGfTLe+C0hlRURaicgjIvKxiDT0bztFRDoF4vxKBatzezRmSLtkijxeXv34KzzFxVaHpJRSSqla0rX3sXx200Aax0ewaXcWC1+8mDULp1odVp1S7cqKiBwLLAb6AucC0f5d3YDR1T2/UsFMRHjs3C7c4/qSp/bdyuxP/2t1SEoppZSqRa0bxvDVTcfwYPxPnG4m0eirc1k0+Wurw6ozAvFm5XHgfmPMUKBkY7tfgX4BOL9SQa1RXAQ9unTCJoZuq15ky5olVoeklFJKqVqUEhvOmSMeZamrG1FSQPtfr2Xu+HetDqtOCERlpQtQVvVvF5AUgPMrFfR6n3sbS1wZREgRWZ+NwOvR0cGUUkqpUBIbn0ib2yYwL/pYwsRDt+mjmPnNy1aHZblAVFYOAI3K2N4d2BqA8ysV9MRmo8H/vU6ecdGpaDGzv3ja6pCUUkopVcvCwiPoNuorZsefikO89F1wH9M/Ce1pAgNRWfkEeEJEUgED2ERkAPA08F4Azq9USEhr0Z5F7UcB0GXZM2zbsNLagJRSSilV6+wOB71u+YCZyRcA0GX5GN6eMMPiqKwTiMrKfcAKYDO+zvXLgN+BacAjATi/UiGjz4V3s9zZiUgpZO/HI3RWW6WUUioEic1OnxvfYHrT4Qx338Ho3/by/M+rrQ7LEtWurBhjiowxw4GWwOnAZUB7Y8zlxhhteK9UJdjsdqIvfJVdJp73D/bk8zlbrA5JKaWUUhYQm43+1z7NsSedB8CzP69i7IQ5FkdV+wI2KaQxZrMxZhzwJRAlIgmBOrdSoaRpm258d9x4PvMcx8PjlrM9K9/qkJRSSillkRHHtuLuk9vTXjZxzrRz+OODh6wOqVYFYp6V50TkWv9nOzAZmAdsFpEh1T2/UqHo6sHt6dY0npyCYh74bLo2B1NKKaVC2I1DWvFA+y0kSTYD1zzDlA9DZ162QLxZOR9Y6P98Br7mYO2BZ4FHA3B+pUKO3SY8c0E3jnMu4aEt1zDr8yetDkkppZRSFup/xSPMaXIVAINWP8G0T5+yNqBaEojKShKww//5VOAzY8wq4C18c7AopaqgdcNobujoIVX203XZM2xatcDqkJRSSillFRF6Xfscc9IuA+CY5Y8w99uXLA6q5gWisrIT6OhvAnYykOnfHgloB3ulqqHPhXez2NWDCCmi4LPhuIsKrQ5JKaWUUlYRoed1LzKj4YUAdJv3bxb+8onFQdWsQFRW3gY+A5bgm2flZ//2vviGNFZKVZHNbiflirfIJoq2xauY8/79VoeklFJKKQuJzUafG15jdtxJOMRLweTnmbVur9Vh1ZhADF38IHAd8AYwwBhz6NGvB3i8uudXKtQ1bNyCVb1HA9B70/9YNW+StQEppZRSylI2u52Mke/zdfxVXF10J9e+O4el27KsDqtGBGToYmPMF8aYZ40xW0pse9cY820gzl8eETlNRGaKSL6I7BeRb0rtTxeRH0UkT0R2ichTIuKoyZiUqgm9ThvO3JjjcYiXqO+vJ/tA8D5BUUoppdTROcNcnDJyDJ2bp5FTWMw178xmx549VocVcAGprIhIlIicKiIjROSWkksgzl/ONc8D3sfXDK0bMAD4qMR+O/AjEAYcA1wJXAWE1uDUKmi0vvoNtpPMnOJWPPjDcowxVoeklFJKKQuFO+2MvbIXbZKjuCj3Y4peGcLBrOB6oFnttwwi0h0Yh69DfRSwD98IYXnALuCF6l6jjGs6gOeBu4wxb5bYtazE52FAR+BEY8xOYIGI/Bt4QkQeNMYUBToupWpSXINkNl78E3e8u4riJVn0mrWZS/qmWx2WUkoppSwUF+Hk7Yvb4nzjV1K8+1j26nm0vX0CjjCX1aEFRCCaRD0LfA+MALKAfoAb+ABfhaIm9AAaA14RmQ+kAgvwVV6W+Mv0Bxb7KyqHTABeBToB88s6sYi4gJLf3RgAt9uN2+2uVJCHylf2uPpMc65ZHVo2546h8MSEVYz+fgndEwpp3aJ5jV+3tFD8PkNo5l2dnEPp66SUUlZqkpbGirPeI/qb8+hYMJ+5r19Lz5vfBxGrQ6u2QFRWMoAbjDFeEfEALmPMOhH5J/Au8FUArlFaS/+/DwK3AxuAO4BJItLWGLMPXwVmZ6njDq2nHuHc9wIPlN44ceJEIiMjqxRsZmbm0QsFGc255qQa6BOXz3V5bxD+0Xa+6zwah9Oapyeh+H2G0My7Kjnn5eXVQCRKKaXK0r77IObuepbu00bSc+/3zP5oNL0vfdDqsKotEJUVN+D1f94FpAPL8b1laVqZE4nI48DdRynWgT/72jxqjPnSf+zVwBbgAuD1yly3lMeAMSXWY4Atw4YNIzY2tlIncrvdZGZmMnToUJxOZzVCqj8059rJeUCf7fDGvTRkH3s2fU63kR8gtoB0QauQUPw+Q2jmXZ2cs7OzaygqpZRSZel50qVM3b2WAWueoeeq51jxWxvaH3ep1WFVSyAqK/OB3sBqYDLwkIgkAZfjm3ulMp4B3jlKmXVAI//nw31UjDGFIrIOX2UJYAfQp9SxKSX2lck/9PLhmffE//rM6XRW+Y+T6hxbX2nONathWjrLTnqFxPEX0zt7IjO/fYG+F95VK9cuKRS/zxCaeVcl51D7GimlVF1wzCX3M/XFNQzY/y3NJt/G9jbH0KhJC6vDqrJAPIq9D9ju//wvYD++fiHJwPWVOZExZrcxZsVRliJgLr4KRbtDx4qIE2gObPRvmg50EZGGJS4xFMjmrx3xlaqXOvY/hdmtfQPudV/6GCtm/3yUI5RSSikV7MRmo+eIscxy9uY/7iu5/uutFLg9VodVZYGYFHKOMeY3/+ddxpiTjTGxxpiexpiF1Q+xzGtmA68Bo0VkmIi0w1dBAvjc/+9EfJWS90Wkm4icBDwCvFxi4kql6rW+lz7IvOjBhImHxB+vY9fW9VaHpJRSSimLhbtcpN34LT+7hrJ4axb3f7Ok3k55UHuN3APvLuATfHOtzAaaAccbY/YDGGM8wOmAB99blg+A94D/WBKtUjVAbDbaXv8eG2zpJLOf3W9fQm6BjsCklFJKhbomDaJ48eIe2AR+mbuMqV+9YnVIVVLtyoqIpIjI+yKyTUSKRcRTcglEkGUxxriNMXcaY1L8b3KGGmOWliqz0RhzqjEm0hiT7C9fXFMxKWWF6NgEwi7/nFU0497cixn12UI83vr59EQppZRSgTOwTRL/OaER37vuZ+Di+1g39UurQ6q0QLxZeQffvCcPA+cD55ZalFI1LK1Fe3Ku+pUV9jZkLtvJk+NXWB2SUkoppeqAK0/oztr4AQAkZ97MwR2rLY6ocgJRWRkIXGqMedUY840x5tuSSwDOr5SqgJ7Nk3jq/K4ATJ3yM9O/rp+ve5VSSikVOCJCxvBXWSTtiSGPve9chimuP923A1FZ2QzU/+kxlQoCZ2U0ZnR/O5+HPUSvBfez8LfPj36QUkoppYJaXHQUnP8mB0wUzQpWsPKjf1odUoUForIyCnhcRJoH4FxKqWq64oxhLI0bjFM8tJ10E8um/2R1SEoppZSyWNdOnZnWeTQA7de9w7bZ9aMBVJUqKyKyX0T2icg+fCNyDQHWikjOoe0l9iulapHYbHS7+SMWRvQlQopIH381q+f/bnVYSgWciLhEZIGIGBHJKLWvq4hMEZECEdksIn97jCgiF4jICn+ZxSJyaq0Fr5RSFjj5vOuYGHUWADnjH6agqO6PO1XVGexHBTIIpVRgOcNctPvHVyx97hQ6FS0i6dtL2Bj+Lc069LQ6NKUC6UlgG9Ct5EYRicU319bPwAigC/CWiBwwxrzhL3MM8DFwL/ADcAnwjYj0MMYsqb0UlFKq9thsQsa1L/DOi8KY3NO4cOIq7j+9o9VhHVGVKivGmHcDHYhSKrDCI6NpdvN3rHphGG2LV1H86XlsviqTps3bWB2aUtUmIqcAw4DzgFNK7b4UCAOuMcYUAUv9b15uB97wl7kVGG+Mecq//m8RGQrcjK+Co5RSQalhg3jSL3qS7Hfm8ObU9QzrlEqfFg2sDqtcVX2zgojY8E3MeCa+m8IvwGhjTH6AYlNKVVN0bAIpN/7A+peHssadxH8+WMu7w1NpmxJjdWhKVZmIpABjgbOBvDKK9Ad+91dUDpkA3C0iCf7Jg/sDY0odN8F/zvKu6wJcJTbFALjdbtzuyk3Geqh8ZY+r70Ixb805NNS3nAe1asB5PdL4ct5Wfvn4GdpfdQURyS0rdY7q5lzR46pcWQH+BTyI7zV7Pr6nVA2Ba6pxTqVUgMUlpuC+YRwvfLSC7TsLuej16bx3TV+6NImzOjSlKk1EBN/8Xq8ZY+aUM7hLKrC+1LadJfbt9/+7s4wyqUe4/L3AA6U3Tpw48f/Zu+/wKKrugePfsyW9EQKB0HuH0DsKSFTErq9dseuLvft77Q1sqCh2xd47CkKwAdJ77zVAgBBIL5vd+/tjNxhiAimbbJI9n+eZJ5mZOzPn7CY7e+feuUNISMgJYy9JYmJihbar7fwxb83ZP9SmnPtaoWPgt1yf/yPr3v+dzV3vAyn/7ewVzTk7u6RrTf9WmcrKlcB/jTFvAYjIKcAvInKdMcZVif0qpbwsJrYpH9/YkKumLGbl7sMsfee/WE+/gs4DTvN1aEoBICITgPtPUKwT7q5f4cD4Kg/q38ZzbGtMOJCUkJBAREREuXbkcDhITExk1KhR2O12b8ZYo/lj3pqz5lyTLWkWS/Yvv9K5YB0B1i20OO2OMm9b2ZzT09PLVK4ylZXmwLTCGWPMLBExQByQVIn9KqWqQFRIAJ9e15/PX3+csWk/kzN9JiuzJ9NjxH98HZpSAC/ibjE5nm3ACNxduPLcjSxHLRGRT40xVwHJQGyxbQvnk4v8LKlMMqUwxuQBR5+kVnh8u91e4S8nldm2NvPHvDVn/1Dbch7YbwA/rhzH2Xsm0nTpc+T1HkNYXKdy7aOiOZd1m8o8Z8UG5BZb5gBqzzuklJ8JC7RxxY33Hx3WuOtfN7Dg86cxLm0MVb5ljDlojNlwgikfuA336F/xnqlwuOGLcHdPBpgPDBORouejUcBGz/0qhWVGFgtjlGe5Ukr5jZFXPMhiSw+CyOfgpzeBMb4O6RiVqawI8IGIfFc4AUHAm8WWKaVqkKCQMDrd8ROLokZjFcOAjc+x6LWrcOTnnXhjpXzMGLPLGLOmcAI2eVZtNcYUtup/BuQD74lIFxG5CPd9lUW7cL0CnCYid4tIRxF5DOgDvFY9mSilVM0QFhSA5exXyTaBtMpawfbf3/d1SMeoTGXlQ+AAkFZk+gT3mPdFlymlapiAwCD63vYp89veicsI/VN/YtMLp3AkpdQeMErVGsaYNNz3trQCluLuYvZE4TNWPGXm4X62yg3ASuAC4Bx9xopSyh/17tGDP2LHAhA59wkcuVm+DaiICt+zYoy52puBKKWql1gsDLz8MVb81pF2s2+nfd5a7nznG2668gq6NtGRwlTtYIzZgbulv/jyVcDQE2z7NfB11USmlFK1y8DLHyFx4krezk1g5MJkbjqpja9DAirXsqKUqgPiR17M/oum8kzAbfyc1orzXp/Hx/N3YGpYn1WllFJKVZ3oiDCOjHmXxaYjL8/axO7Usg0tXNW0sqKUonXnftx+5/9xSqeG5DtdfPHTLyx/bjQpe3f6OjSllFJKVZMLejelf6toch0uXv72d4yzwNch1d7Kioi0F5EfRSRFRNJFZK6IDC9WprmI/CIi2SJyQESeF5HKDNesVJ0VFRLAO1f24aHRHZlgf5deOfOwvT2IpdPe83VoSimllKoGIsLT53bjWvsMnkq6mrVTX/F1SLW3sgL8jPuemxFAb9w3SP4sIo0ARMQK/AIEAIOAq4CxwBO+CFap2kBEuG5YG8IveYct1jZEkUnvRXex9MVzST2wx9fhKaWUUqqKtW0YxqC2DQmWfJqveJGswwd8Gk+trKyISAzQDphgjFlljNkMPACEAF09xRKAzsDlxpgVxpjpwMPAOBEJ8EXcStUWLTv1ocX981jQ9FoKjIXeGb9je70vC7+cgLPA903CSimllKo6gy++jy3Skgiy2PDVwz6NpbZ2iToEbASuFJFluJ8ofCPuoZSXesoMBFYbY/YX2W4G8AbQBVhe0o5FJBAILLIoHMDhcOBwOMoVZGH58m5Xm2nOdYhY6X3Vs2xeMYaAX++mjXMb/deP5+mXDMPPGgvUwZxPoM6+18dRmZz96XVSSqm6JCgwgMNDHoY519J979ckb7uVRq27nnjDKlArKyvGGCMipwA/ABmAC3dF5bQiTyduBOwvtun+IutK8yDwaPGFM2fOJCQkpELxJiYmVmi72kxzrltcXR9h5fY/qH9kJe8e6so7U5bRq76F1KyfiQ4NPPEO6pi6/F6XpiI5Z2fXjJFklFJKlV+fEeezYtEbxOctYd93D9Donp99EkeNqqyIyATg/hMU64S7VWUy7grKUCAHuA6YKiJ9jTH7KhHGeI59ynE4kJSQkEBERES5duRwOEhMTGTUqFHY7fZKhFR7aM51OecxHMrM4/zELXyzbA8bDuXzeuZ97Kg/lOZnP0yDuFa+DrDK+c97/Y/K5Jyenl5FUSmllKpqIkL4meNxfp1Az8w5rFn4G137j6z2OGpUZQX3U4Y/OEGZbbhvqh8D1DPGFJ4N/ysio3DfSD8BSAb6Fds21vOz1Md0G2PycHcrA9xvFIDdbq/wl5PKbFtbac51U6N6dl74TzyX92/GjE9eoJHjMI1SfyL3/eksjT2PVmPuJbZ5O1+HWeX84b0uriI5+9trpJRSdU2brv1Y+tvpdE2dyR9//U6nviOwWv71HN4qVaNusDfGHDTGbDjBlI/7Rnpwd/8qyhLAh3cAAJ0sSURBVMU/Oc0HuolIwyLrRwHpwLoqTUSpOq5LXAQduw5g9ajPWG/vQpA4GHDgS6Lf68/ily5k+9qFvg5RKaWUUl7Q6qIJnCGTeDF1EN8s3V3tx69RlZVymA8cBj4UkR6eZ648D7TCPVwxwEzclZKPPWVOBZ4CJntaT5RSldSxXwIdH5zLqpPfZ01gPHZx0jdtJs2+Oo1b35nOzLXJFDiLX1NQSimlVG0R3agFF48cCMDzMzaSmVe9o4LWysqKMSYFOA0IA34HlgBDgLONMSs9ZZy4u4o5cVduPgE+Ah7xRcxK1VVisdD95PPp+uBfbD57KkvDTma6qz9Tt7q44eOlDHn2D379dCLJu7f4OlSllFJKVcCVA1vSOiaU2KyN/Dh9WrUeu6bds1JmxpglwKknKLMTGF09ESml2vUcBj2HEZOSwY2Lkvh6aRL2jJ2ctvlxnJueYE1QD7I7nk/H4ZcREVXf1+EqpZRSqgwCbBYmtV1G18zHWbi8CymnnEpkYPW0edTKlhWlVM3WIiacB0d3Yv6DI3jytBasDeiOVQxd81bQb+XDBL7UgeXPj2Hpz++QfuSQr8NVSiml1Al0OflCCrDSX9byw88/Vttxa23LilKq5gu0WTn5pJFw0kj2bFvPrtkfErfrZ1q4dtMzaw4smcOtC3ZzpNUZnNIplhHto2kWU74hwpVSSilV9SSqGYdan0Pstm9pue4tkkacVi3H1cqKUqpaNGndiSatJ2Bcz7B17SIOzP+UBslz+L2gO1mbU5izOYU021ecZ1/A3uj+2NsOp3W/04msf7xnuCqllFKqusSefj+uyd9ximUJz/46i46R1io/plZWlFLVSiwW2nQbQJtuAwCYejCTxHX7mbV+P4P3rqOpSabpoR/h0I+w8A52WpqyP7IH0qw/9QZeSevYKCzVPMa7UkoppYAGHUhvkUDUzhm03fw+eztfX+WH1MqKUsqnWjcI48aTwrjxpDZkpM1gxeKZ5G78jUaH5tPStZsWriRaHE4iNfUvei1qQ0iAjY6NwhkbMItGkaGEN+1Cw9ZdiW7QBLHobXhKKaVUVYpKuB/emcFZlnncsON8rqvi42llRSlVY4RHRhN/ysVwysUApB7Yy65Vs8nZ9jfJaXkEuaxk5ztZtusIrwV+QFxSKqx1b5tOCMm2pmQExZEW0YEtHW8kNiKIRhFBNLGmEl2/AcEhEVqhUUoppSqjSW+ymw4hffdacjMOsmzXEfq3aVBlh9PKilKqxopuGEf0KRcD7srLWS7D9pRM1u45zM5FZ3Dw8AYa5O2ikesAEZJNRMEmyNzEovR9PLPtpKP7WRA4jhA5TIGxkCXBZEkouZYQcq1h7A7qyI+x/8VutWCzWDjr4JsEmVyMxQ5iAQwYAxjSbDF8mz2IJb9swCLCSfveJ6TgMGAQ4ylnXGBcZNiimdbgOlzG4DJw5oE3qOc4gOBeL8Z4fjdkWsJ5p/69GGNwugxXHX6NJgW7EONCcJcrLJ8twfwv7Kmjud2S9RodnJtKfP0KsHFnxMSj8zdmv0XXgjWlvt63h7+MS9z9j6/OnkLvgqUclBgmW+9gtA4Cr5RSyiPkP+/w5PQk5i8/SO/NKVpZUUopAKtFaNswnLYNw6Hna0eX5+ZkkbxjPYd3rSXv0G4OFIRydkAcyWm5HEjLJjQrFwCbuIgki0iT5X5crBMycx1MO5B8dF8PBP5CA0kr8fhrXC2ZnT8EkncBcE3AVFpYDpRYdqurMd8lnX50/uaAeXSy7C6x7F4TzexDB4/O3xuwnq6Wkh+iecSEsm5f+tH5SPtu2li3lVg2z9iPKRti30Mb6/YSywKsS87A5RnRPsi+h9bWHVhcOSQbvUdIKaVUERFx/PeUcGId+xg3sm2VHkorK0qpWi8oOJSWnfrQslOfo8vOKrLeuPaSmZVOdvoRsjNSyc04TH52Go6sI+S4AnmifhfyC1wUuAwbdlzNloJMKMgHXJ49WEAg0xbDqCwXbdu2wWqxsm3fpewryMCIuFthxAKe3/MDovi/Jh2xiCAiHEi+ifSC9KPlpMhPpy2YF5v2wGIBiwi5Bx5gmSPN3WXNU0Ys7slYAvggri8i7gpE8KEnWZVfcuXKiIUPG/U7Oh+W+iir8g6X+jp+0Ki/O34g9PBDrMpNwSF2rtzhKnUbpZRS/qlRRBCtwqv+OFpZUUrVeWKxEBYeRVh4FNDy+IVPerzUVQ6Hg+xp0xh9SjvsdjtQelmAk46Zu6VMsbpdWI6yI8tR9uRylHU36TscDpIOTyvHdkoppZT36J2mSimllFJKqRpJKytKKaWUUkqpGkkrK0oppZRSSqkaSe9ZKaP09PQTFyrG4XCQnZ1Nenq6p3973ac5a851mT/mXZmcK/K5WRvp+aHs/DFvzVlzrqsqm3NZPzvFGFPunfsTEWkCJPk6DqWUqsWaGmP2+DoIb9Pzg1JKecVxzxFaWTkBcY8PGgf8BvQrsmrRceYLfw/HfSJrCmRUMpTix6tM2dLWl7S8LHkW/d2bOR8v1vKW05yPv/x4ORefX4R7CCpf5HyislWZc237n64pOYcDe00dPNkUOT9kUPbPjcJ5/R+qOf9D/pjz8daXJ8fi83Ul55KW+ft3gar6HDvhOUK7gZ2A58XbIyIuY8zR9qrjzRf+XvgcBCCjaNmKKH68ypQtbX1Jy8uSZ9HfvZlzWXIpaznN+fjLy/v3zT8fStWa84nKVmXOte1/ugblXGf7ghWeH6DsnxuF8+j/UI35H/LHnI+3vjw5Fp+vKzmXtMzfvwtU4efYCbfTG+zLbnI55ouvq4rjV6ZsaetLWl7WPKsi5/LsV3Mu+/ry5lx8vib/fftjzqWtr4k512XleS1r8t+TP/4P+WPOx1tfnhyLz9eVnEta5u/fBarjc6xE2g2sColIBJAGRHqjll0baM6ac13mj3n7Y87VwV9fV3/MW3PWnOuq6spZW1aqVh7uR1zn+TqQaqQ5+wd/zBn8M29/zLk6+Ovr6o95a87+QXOuItqyopRSSimllKqRtGVFKaWUUkopVSNpZUUppZRSSilVI2llRSmllFJKKVUjaWVFKaWUUkopVSNpZUUppZRSSilVI2llRSmllFJKKVUjaWVFKaWUUkopVSNpZUUppZRSSilVI2llRSmllN8SkTEislFENovIdb6ORyml1LH0CfZKKaX8kojYgHXAcCANWAoMMsYc8mlgSimljtKWFaWUUv6qH7DWGLPHGJMJTAcSfByTUkqpIrSyopRSqlYSkWEiMlVE9oqIEZFzSigzTkR2iEiuiCwUkX5FVscBe4rM7wGaVHHYSimlykErK0oppWqrUGAlMK6klSJyETAReBzo5Sk7Q0QaVluESimlKsXm6wBqOhER3FffMnwdi1JK1ULhwF5TBTdIGmOm4+66hfuj+l/uAt4xxkzxlLkJOAO4BpgA7OXYlpQmwKLSjicigUBgscXRQGrFMlBKKb93wnOEVlZOLA5I8nUQSilVizXl2O5WVU5EAoDewPjCZcYYl4jMAgZ6Fi0CuopIE9w32J8OPHmc3T4IPFo1ESullN867jlCKysnlgGwe/duIiIiyrWhw+Fg5syZJCQkYLfbqyS4mkZz1pzrMn/MuzI5p6en06xZM/BNy3QMYAX2F1u+H+gIYIwpEJG7gT9wd4t+7gQjgY3H3a2sUDiQtH37dsLDw8sVnMPh4I8//mD48OF+87cE/pm35qw511WVzTkjI4NWrVrBCc4RWlkphYiMw90P2gIQERFRocpKSEgIERERfvWHqznXff6YM/hn3nU9Z2PMT8BPZSybB+QVzhd2PYuOjq7w+aF+/fp18nUtjT/mrTlrznVVZXMu6zZ6g30pjDGTjTGdcQ9tqZRSqnZJAZxAbLHlsUBy9YejlFKqIrRlpYq4XIas3Hyc+blkZaQREGAD3FfhBAERsNgQW4B7A2PA6b5g575YV6ysWBCr++0SY8A4PWWlSNmjGyOWf+qhpdx4qpRSdZYxJl9ElgIjgR8ARMTimX/Nh6EBkOdw4nDkk5WRht1uO+Zz2h0mYAsGEffHutNx9HP/n3JFPtutAf9s53IiuP4p5y78z7zF9s+5whjA8E+Rf59DlFLKl7SyUori3cDKa1tKFldO/JZ5QbfB2pLLfFowkv8VXAtAFBmsCLqx1P196xzC3Y7/AhBIPhuDxpZadrqzLzc77vwnlsDLsMi/B1lwGWG26c41jvuPLlsecD2h5ABg+OfkZoClpgNXOR85uuwP2y3EkHZ0faEEhDXLWnCp66mjy36y3E0TDpawX2EnjbmYCe4FAh/wKC3ZixMrLqw4xYILKy6xkmqJ5qGIp7FZBKtFuDHjdZo6d+ESKy6x4bQG47IG4rIF4bBHMLfVbQTbrQTZLbQ5PJdwVxqWgGDswZEEhkUTHBFNaFQM4VExBAaFlPqaKqVqHhEJA9oWWdRKROKBVGPMLtz3l3woIktw30x/B+7hjqdUc6j/cv/3axm6/hOi1lxXapm+uZM5SD0AHrV9yNW2GaWWPSlvIjtNIwDus33Bf22l92w7LW8CG0xzAG6xfs899q9LLXte3mMsM+0BuNY6jf/ZPj1mfdHP/rGOB5hHdwAusvzG49YpJZY9Hbhl8Z38YfoAMMYyl/GWt/5VrvBc8aC5mV/NQARhOEt43jKJopfgip5TnjbX8JOcDEB/VvMyLxxd5xKL57zi/vm+7WJ+DRyF1SK0d23nvpyXPecS97nHiOXo/Lzw01hZbxSBNisNSGVkyqcYWyDGFozYAsEejNiCsASG4ojpjKVxN8KDbEQEWAh2puN0uVBKVYxWVkphjJkMTBaRCPB8I69jLGIQl8FV5GxjxYlNSv5QtRgX+c5/1gXYHASKo8SyNpeDHMc/VwEDA/IIseSVWDbIlUNGfsHR+fCAdOpbirzk/5y5sDpzWLs3/eiq2ID1dLFsLXG/qSaMy3aecXT+c/ub9LOuK7Gsw1jp6PqEeiGBNAwP5DLXVFpIMq6wRlgjGhMY3YSouHY0atFeKzVK1Rx9cN8cX6jw5vcPgbHGmC9FpAHwBNAIWAGcZowpftO9KhNT4oWvQi7AWXhCEYNdnKWWdboM+Z4v8C7jItBa8rkEwOVwkusp67Q4CLWWfC4BcBY4yHS6zycOSz7hATmlls3NyWRnZjYAMXKI1oE7Si37S2YHpiW5ew92lW38X+A3pZZ9reBsXii4CICWso8/A+/mPCBrRRCHJYQMayRZ9mjyA6LZ2eAkDjYfTUxYIA1CbbSUfTRo0pqQsMhS96+Uv5EqGPq+TimsrKSlpZXrBkqXy5CVk0Pi9J855ZRT3DcRGYMpch3KiA1sge4lxgX5mRx9O4w55oqVsdjAHuL+4m4MknukyL4MRd9Gl8UOgeGe3Rgk62DRox5T1ljtmKCowlVYMvf/s98SYnCFxBSuwpKx1x23p5QxBmdBAfPnz6f/oKFIVLOj21ozksDlpPDgBnP0d5fYcUY0df9uDJYj2zH52TgLCjCuApzOAoyzAFdBAU6spMb0wmUMBU5DVPI8rLmp7vXOfEx+DsaRA44c8lwW/mp4BbkFTnLznSQkv0Xj3C3YnHkEOLMIdWUQZjIJM9kcJozeef9c2fsi4EkGWNb/+301QrKlAQ/ETaFVwyg6No6gc/BhtmzcyFlnn+tXN9VNmzaN0aNH+03O4J95Vybn9PR0IiMjASKNMeknKl/bVPT8AJCVk8evv0wlYdQIbDbP61rsHIE9GFPYuF+Qi3H+84W++Lnb2EPAYnX/np8Dzvyj+4TC7l7uz14TGA4Wm3uVIxtx5BQ7RxSZC4zEWD3x5We5pyJli3IFRILN/Rga48jCkpdxbKzGUOB08PfceQwYeQa24HCMAXFkYck5XGoMruD6uGzui0TiyMaSnVLq6+AMrocJ8IzMlp+NNWv/P3m7nLicBUfPLbnBseQF1sfpApNzmJCUNRinA5fLfc4xhT+dBaSEdeBAcCvyHC5smXvouOdbpCAXceYhBblYnHlYnbnYnDkkBozgZ4aSkVtA89yNfGv9P0pTtGLTVA4yN/B2AA4TziFrQzICY8kPjcNEt8HeejCx7fsSFxmMxVKzu3frZ6XmXBZlPUdoy0opKtsNzGIRggLsWO2BBIeGl+1NDIou+wFCy/EA5rCmZS8b0aLsZaPa/GuRw+EgYM0WGjdrfWzO0e3Lvt8G3cpetst5x1190jFzb5RYxuV0YstIY44riNSsfA5k5OHYOJYFhzZhzUomIPcg4XkHiHUmEyq5GJeT2VvTmL3V3frzqf1pzrWsI2ntYyRH9oBm/YntMoxm7XpgsVrLnotSym8E2CzY7HaCQsp4fggMK/vOg8rzpSEAiCpj2UDcz8AsUxBA/X8tdTgcBIRtoFH9ekXyDsY90nRZhJSjbCjQoIxlo4F/n9NK1hoYWurabrifRup2ClmZVzL95x/p27Mb+dlp5Bw5QF5aMs70/UQEdOI8acLBzDwiUveRmRlMmORQjwzqOTMgeytkAwfh9bVn8VxBJoE2C72i87nX9S55kW2wN+pETNveNG3bHZs9oIw5KFV7aGWlFP7QDUy5WaxWIqOiiQSaRXu6eHW+6V/ljMtFyoE9HN6XxPPOpmw+kMn6fek02p2OBUNzs4fmR/bAkWmw2n1lbGPEIHYPfYGTOjakYXhQ9SamlFLK5wICg7AHhxPXuvO/KqYDgCuPzvUHriP9yCEO7dlC+v7t5KbswqTuIDB9O8mmK/Z0Ia/ABSkb6RUwGzJnux+ltxTyjJ3tthYcjujAodbnUr/rSDo2DieiXJVXpWoerawoVUZisRDTqBkxjZrRtchyh2M5X3/zOW3qW8nbsZDIlGW0zttAPckg//Be7v12NQCdG0dwZ/0FtO87ihYd4n2Sg1JKqZotIqo+EVH1oUv/Y5b3BB5xukg6nMPenXEs2JCLpG4hIn0zzfO3ESq5tHNugcNbeGBBY774233xbUT0IW62/4yrSW+i2w+iZed+2AMCfZCZUhWjlRWlvCAgJJJuw0djt18GQH5eLhtWzGbP7jS6J0eyKimNw/u2M+rwU7DlKbZaW3Gg+WhanHQVcS07+Dh6pZRStYHNaqFlTCgtY3pC755Hl7ucTpK2r+fAliXkJa3CagYTlxLE3rRc4tKW0dc+A9JmwDrI/d7O1oB2HKnfk+D2w2jVO4GIyHJ0Q1eqmmllRakqEBAYRMf+CXTsD5cAKZl5LFsyn5UL+9E5eyltnNtps30yrm2vsyq4D85eY+k2/D/a31gppVS5WaxWmrbtStO27nb/gZ7lhzLz2Lo6hAVrLYSkrKBl7gYiJIuOjnWQvA6SP+XKWQ9yqNFg+reqz5DGTnq1iCGqQWPfJaNUMVpZKUVlb7BXqqiYsEASTj4ZTj6ZIynJbPrrc0I2/UDXvBV0z10M8xbz+MJ1hA8Yy1UDW1A/TJvolVJKVU79sEDqDxwOA4cD7haYXVtXs3/dXMzOecQeWckSVzuy96azdm86sbZPGWH7hR2W5uyP7kNgh1G06Xca4dryonxIKyul0BvsVVWJimlEv/PvBO5kz9Y17J71JnH7EvkyqzfZv23m7dlbuatTOmMGxWsXMaWUUl5jsVpp3j6e5u3jgVsA+CM9l4XbU1m0/RDt16RDAbR07aJlyi5I+Q7HXCvrAjqRFjeEkJPvpGuLWKw1fOhkVbdoZUUpH2rSpitN2rxGvsPJc+v3887sbaxKOsxJG56g4ca9LIkcQXTCfbTu2v/EO1NKKaXKKTYiiLN6xHFWjzg452dSD+xhx7JEHFv+osmh+TRlH50dazi4Yzf93hpCZEggJ7VvwPmNDtCjR28i65V1KGmlKkYrK0rVAAF2K2O6x3FGt8YsXr+VvJ9iseUm0Sd9Fnwzi2XTh1H/rCd1FDGllFJVKrphE6JPGwuMBWDPtvUkLf2F7cmphKUEcCTbwU8rkvhf4C2E/JHBmqBuZLZMoPmA84lr1dGXoas6SisrStUgIkK/zm2h8+9sWTmXtMTn6ZnxF72yZuP87GQW1Tud5uc/SaNmbX0dqlJKKT/QpHUnmrTuRH/gAqeL5buPsGDlGnJWhtHQdYSueStg4wrY+BzbLC3Z3/x0Gg+82MdRq7pEKytK1VBtewyBHkPYvm4xR35+hJ7Z8+h3ZBo3vN2VVoPO45bhbQnXh30ppZSqJjarhb4to+nbchicvZbdW1azZ+F3hO9MpEPeWlq7dtB6xxu8u2UHHwRezu6w7ZwV35Tm9UN8HbqqxbSyUgodDUzVFK0694XO09mw5De2/vExMw/1gL+28d2yPTwxOIBThw7GYrX6OkyllFJ+plnbbjRr2w14lCMpyWye/SWBm35iWsYgkrKEFxI3M/+373gs5BsOtTmPDqdcTT0dFlmVk1ZWSqGjgamapmOfkXToPYL3Nx7gyZ/Xk5qynwF/3MWWuXGY056lQ58Rvg5RKaWUn4qKaUTf824HbueNI1lM/Oo3dksDxuxaQLuCzbTb+Cz5G15gWdhgLL0uo+uw8/TZYqpMtNVAqVpERBjRMZYZdwzj6f5O7DhpX7CJDj+fy+KXLuLwwX2+DlEppZSfiw4NYFCs4cOxfUi45TUWdLifLdY2BIiTXlmziZ9zI0eebseCN25i6579vg5X1XBaWVGqFgqwWRhz7qXk3ryIRVGjAeib9itM7sviH1/HuFw+jlAppZSC+rFNGXDJ/9H24WVsu2AmC2IvJpUIYjhC432/ccqri7js3QX8uiaZAqeeu9S/aTcwpWqxmEbNibnjczYs+Y3AaXfRyrWDvssfZNX6b4i65nuaN4z0dYhKKaUUAK279qd11/448vNY8de3zN18ENlt4e8th1i8JZkfg58grcVptDv9v9SPberrcFUNoS0rStUBHfuMpOkDi5jfahx5xs6azEgSXp3Hm39txaFXqpQqkYg0E5E/RWSdiKwSkQt9HZNS/sAeEEj8qEu55b+3M/u+4dx8chvOD15OJ7OVATsmE/56Dxa/dCHb1iz0daiqBtDKilJ1hD0gkIFXPcOBK/7g92bjyHW4mDB9A9dM+oEtq+b5OjylaqIC4A5jTGcgAXhZREJ9HJNSfqVpvRDuP60jj953H4vjn2GTrT0BUkDftJm0/iaBlRNOYe28adq92Y9pZUWpOqZZ2268c8NInr+gO/WCrdyQ+iItvh3D/PfvxZGf5+vwlKoxjDH7jDErPL8nAylAtE+DUspPBQWH0veccbR/aDGbzvqJpWEn4zRCj9zFdJl5Cbe++iW/rknG5TK+DlVVM62slEJExonIOmCRr2NRqrxEhAv7NCPx1n6ERkRjFycDd73NjmcHsWP9El+Hp1SZiMgwEZkqIntFxIjIOSWUGSciO0QkV0QWiki/Ch6rN2A1xuyubNxKqcpp3+sket/zI/uumMvC+ucwy9Wbn/dFcNMnSznlpb/4/feZOAsKfB2mqiZaWSmFMWayp2tAhU58StUEMdHR9Lz7R5b0eZ40Qmnn3ELcF6cy/6OH9YNe1QahwErcD+j9FxG5CJgIPA708pSdISINi5RZISJrSpjiipSJBj4CbqjCXJRS5dS0bVf63/ohPe6ZxrjhbYgIspF5MIlBf11K0jPxLJ32Pi6n09dhqiqmo4EpVceJxUKfMTdwsFcCKz++gR45Cxm4bRIbJ8wk6LKPadGqva9DVKpExpjpwHRwtxaW4C7gHWPMFE+Zm4AzgGuACZ59xB/vGCISCPwATDDGHPfmLk/ZwCKLwgEcDgcOh+OE+RRVWL6829V2/pi35lx5UcFW7hjRhusGt2D2r9+QtyaAFq7dtFh0J9uWvEJq37vpPuIixOK7a/D6Pld8+xPRyopSfqJBXEti7v2VRT++RqcVz2DNT+ec99dz35lBXNy3WWlfBpWqkUQkAOgNjC9cZoxxicgsYGAZ9yHAB8DvxpiPy7DJg8CjxRfOnDmTkJCQshzyXxITEyu0XW3nj3lrzl5ij2BW5xcJ2DGDk7N+pbVrB60X3sqGhRNZGXsBQXHdvH/MctD3ueyys7PLVE4rK0r5EbFY6HfubST3Pp23fl7G4V02HvxuNX+u38eEM1pSLybW1yEqVVYxgBUo/vjr/UDHMu5jMHARsKrI/TBXGGNWl1J+PO5uZ4XCgaSEhAQiIiLKeEg3h8NBYmIio0aNwm63l2vb2swf89acqyrnC0hLPcDqH54lfu8XdJTttEp+mXusH3Hz6IG0iw2rouOWTN/n8uecnp5epnJaWVHKDzVq3o5nb2pLu7nbeH7GRlpumoJz+3RWD3+Jbied5+vwlKoWxpi5lOPeTWNMHnB0SL3C1ki73V7hLyeV2bY288e8NWfvi4ltQsyNk0g9cD+rvn2CRXsdTN1m+GXyPC7p15y7ToqjfnT9Kjt+SfR9Lt92ZaE32CvlpywW4YZhbfj+pv5cGLiAGI7Q7Y+rWfD6DeTmZPk6PKVOJAVwAsWbA2OB5OoPRynlK9ENmzDg5rc46/ZXOa1LI1wG1i+aRcArXZj/0cN6TqvltLKilJ/r2qw+Te6ew4IYd4vKgANfsu/5QWxft9jHkSlVOmNMPrAUGFm4TEQsnvn5vopLKeU7LWNCefOK3nx5wwBuiFhAuOQwcNskUp+LZ0XiZ74OT1WQX1RWROR7ETksIt/4OhalaqLg0HAG3DKFFUPfIpUIWrl2EPfl6Sz4/Bl9arDyGREJE5F4EYn3LGrlmW/umZ8IXC8iV4lIJ+AN3MMdT/FBuEqpGqJ/6/ok3PcZi3uO5wDRxJkDxP99MyueO53kXZt8HZ4qp0pXVkQkyBuBVLFXgCt9HYRSNV38yItx3TSPlUF9CRQHPTe8yP3v/MDBjLwTb6yU9/UBlnsmcFdOlgNPABhjvgTu8cyvAOKB04wxxW+6V0r5GYvVSt+z/0vYPSuY3/hKHMZKfPY8It4bwpzPxuNw6oW42qJClRURsYjIwyKyB8gUkdae5U+KyLVejdALjDF/Ahm+jkOp2iCmUTO63zeThR0f4DnX5Xy1PZDRk+Ywd3OKr0NTfsYY86cxRkqYxhYp85oxpoUxJtAY098Ys9CHISulapiQsEgG3vgqey6eyTp7N0Ikj5/WpnLGpDks2p7q6/BUGVS0ZeUhYCxwH5BfZPka4Lry7EhEhonIVBHZKyKmyPCRRcuME5EdIpIrIgtFRJ8qr1QVEouF/hc/yEW3PEWH2HAOZuQxYcoXzH/ndhz52sqilFKqdmnZqQ+dHpzN3D6v8nvgKWzan8l/3prPK59+R0aaVlpqsopWVq4EbjDGfIp7NJZCKyn7+PaFQj3bjStppYhchLvp/3Ggl6fsDBFpWKTMChFZU8IUV85YlFJFtI8N58dbBnNF30a8apvEwD0fsPX5k0netdnXoSmllFLlIhYLQ8Zcyay7h3NJv2aEk80Fm+4h66V+rJ79va/DU6Wo6HNWmgBbSlhuAco10LIxZjowHSjtCdp3Ae8YY6Z4ytwEnAFcA0zw7CO+PMc8HhEJBAKLLAoH94NvHA5HufZVWL6829VmmnPdYwUeOas7KwLvI2bxQ3R0rCP941PIi7kWh2OUr8OrVnX9vS5JZXL2p9dJKVV71AsNYPx53bmoRRb8bKOR2U+j38eycMV3dBk7ibCIer4OURVR0crKOmAosLPY8gv450bIShORAKA37qcGA2CMcYnILGCgt45TzIPAo8UXzpw5k5CQkArtMDExsbIx1Tqac13UgO1tn6Lr1tfpzFb+kzKJxJfXkdHhYqy2AF8HV63q/nv9bxXJOTs7uwoiUUop74jvPZCs9otZ8OGdDEj5lv6pP5E8cT7bR7xIt2Fn+zo85VHRysoTwIci0gR3a8p5ItIBd/ewMd4KDojBfWG3+Mgu+ylHdzNP5aYHECoiScCFxpjSxuEfj7vbWaFwICkhIYGIiIgyBw7uq4qJiYmMGjXKb55mqjnX/Zwd+Rcz76N7GbT/M0blz2Lb2i04L/uOls2bn3jjWs7f3muoXM7p6elVFJVSSnlHaHgkA255nzV/n0f0rLuIM/tp9PuVLFx5Dt2ve4vg4Now6G3dVqHKijHmRxE5E3gEyMJdeVkGnGmMqXGXHI0xp5SjbB6QJyLjcN9HYwGw2+0V/nJSmW1rK8257rLb7fS9bhJfvtuEUfvfIskRzk0fbOSxswO4sHfT0rpz1in+8l4XVZGc/e01UkrVXl0HjyGr+xBPK8t3HDqwlzNfX8Crl/aiU+PyXaxW3lXh56wYY+YYY0YZYxoaY0KMMUOMMTO9GRyQgvsG/thiy2OBZC8f6xjGmMnGmM6AjjymVAmC4rqRd+2ffN70IbIdhvu+WcW9ny8gM11HVVFKKVX7hIZHMeCWKawe+QkvBI5jy8Eszp78N5/M2aAPSPahGv0Ee2NMPrAUGFm4TEQsnvnSunF5hWe45HXAoqo8jlK1WUyj5rx2/ance2oHrBahz7oJHHlpEJtXzPF1aEoppVSFdBt6Jl/fcTojOjYkv8BJ1MzbWPX86Rw+uNfXofmlMldWROSwiKSWZSpPACISJiLxIhLvWdTKM1/YAX4icL2IXCUinYA3cA93PKU8xykvbVlRqmysFmHc8LZ8O7YjJ9vW0tTso8X3Z7Pgsyf1SpRSSqlaqX5YIO9d1YeJw4MZZVlGj5wFFEwexNo5P/o6NL9TnpaVO4A7PdNTnmUzgMc80wzPsifLGUMf3COIFY4iNtHz+xMAxpgvgXs88yuAeOA0Y0zxm+6VUj4U3741wbf+zfLQIQSIkwGbXmDFC2eQdkj/VZVSStU+IsJ5p45k9wU/s9PSlAYcptOsq1jw3j24nM4T70B5RZkrK8aYDwsnYDDwiDHmEmPMJM90Ce4b7k8qTwDGmD+NMVLCNLZImdeMMS2MMYHGmP7GmIXlOUZFaDcwpcovsn4s8XdPZWGnB8k3NnpmzyPn1UFsWDzL16EppZRSFdK22wAa3D2fhdFnYRHDgN3vsOaF00g/dMDXofmFit6zcirwawnLfwXKPPJWTabdwJSqGLFY6H/RA+w67yeSpDGNSCH652t55/e1uFzG1+EppZRS5RYSGkH/2z5mUfzT5Bo73XMWsWvyGNbvTfN1aHVeRSsrh4CSnpZztmedUsrPte0xmMg75rE4/BTuc1zP0zN3cM2HizmUmefr0JRSSqkK6XfOLSSd/xO7JI4ncv7DuW/M4/vlSb4Oq06r6EMhHwXeFZGTgcIuWf2B04DrKx+W7xV/zopSqvzCI6Ppc9c3nLp4N/N/WsufGw/y1Msvc/0pPeg84DRfh6eUUkqVW9vugzjSeinBX60hd9NB7vxyJfvXZdIwqKJfq9XxVOiLuDHmA9z3raQD53mmdGCIZ12tp93AlPIOEeGSfs35YdxgBtbP4jHHy3SYfjHzP3hAb1BUSilVK0WFhfD+2L7cNqItbSWJKzbdSvs143V44ypQmYdCLjTGXGaM6eWZLquOG9+VUrVTp8YRvHtTApuihmIVw8Adb7D2uVNISd7t69CUUkqpcrNahLsSOvDcqbE4sdLVbMb5zkh2rV/s69DqlApVVkSk+fEmbweplKobQsOj6HvnVyzq8RTZJpBuecvgzSGsmfuTr0NTfkxEQkRkp4i84OtYlFK1T6+Tz+HAf35il4mlsTlI/S/HsO7Pr3wdVp1R0ZaVHcD240y1ng5drFTV6XfurRy8eDo7LM2J4QidE69k/nv34HTqQySVT/wPWODrIJRStVeL9vEs7PQoq+3dCSWXjn/cwPIvngSjo2BWVkUrKz2BXkWm/sBNwCbgQu+E5lt6z4pSVatFp97E3j2PRfXOwCKGzdt3cPl7iziQnuvr0JQfEZF2QEdguq9jUUrVbgHBYbS6bRp/R52JRQw9N7zADx+/jFOH7a+Uit5gv7LYtMQY8w7uJ83f5t0QlVJ1VXBoOP1u/4wF/V5louVK5m87xOhJc5izcZ+vQ1M1gIgME5GpIrJXRIyInFNCmXEiskNEckVkoYiU9wLTC8CDXglYKeX3AoOCGHTbR8xudQd/OHtwz7rW3PTJUnLydUCZivL2GGsbgb5e3qdSqo4bMPpKvu2bybhPl7EpOQ359HzmN+tH37HPYbMH+Do85TuhwErgfeC74itF5CJgIu6W/YXAHcAMEelgjDngKbOCks91CbjPV5uMMZtEZNCJghGRQCCwyKJwAIfDgcPhKHtWnm2K/vQX/pi35uwfiuc88NKHmLryaiw/rCdx3X6ueOdv3rygLZHRDXwZpldV9n0u63YVqqyISETxRUBj4DFgc0X2WdPoc1aUql5tGoTxw7jBfP3p2wzZsRb2rGXdc4upf9VHxDZt4+vwlA8YY6bj6Z4lIiUVuQt4xxgzxVPmJuAM4Bpggmcf8aXtX0QGABeLyIVAGGAXkXRjzBOlbPIg7ueMHWPmzJmEhISUMatjJSYmVmi72s4f89ac/UPRnK3ATR3gnQ0Wzt73CllvrOXPtvdgD687FRao+PucnZ1dpnIVbVk5AhTvgCfAbuDiCu6zRjHGTAYmeypmab6ORyl/EGS3csXYm1n6i50Oix6is2MNh989iZXDJtJjxH98HZ6qQUQkAOgNjC9cZoxxicgsYGBZ9mGMeRBPFzARGQt0PU5FBc+xJhaZDweSEhISiIgofg3v+BwOB4mJiYwaNQq73V6ubWszf8xbc9acR+/cSeQnK2hMCkFbniHzwi9p3j7eN4F6UWXf5/T09DKVq2hlZXixeRdwENhijCmo4D6VUgqA3mdcR1KHASR/fiVtnVupN/t6Fmz6k97XvIQ9IPDEO1D+IAb3hcv9xZbvx33DvNcZY/KAvML5wtYeu91e4S9kldm2NvPHvDVn/1BSzh3btmXvtTPZMeUsWrqSsH99LtvP/pz2PYf6KErvquj7XNZtKtrFyQB/G2P+8kxzjDEbwH1DZAX3qZRSRzVt25Vm985lYYMLABiQ/ClzJl7KniM5Po5M1UXGmA+MMff4Og6lVN0U16wNkTfPYoutLdFk0PiHC1m/8Fdfh1UrVLSy8gcQXcLySM86pZSqtMCgEPqPe4/lAydxgHpMSBvF6FfmkLiu+MV05YdSACcQW2x5LJBc/eEopdTx1WvQmMa3JbIuoBvhkkPLaVewdva/xg5RxVS0siL8+54VgPpAVsXDUUqpf+t56lXk/XcZwU26kpbj4PqPlvDRZx+Tn6fPZPFXxph8YCkwsnCZiFg88/N9FZdSSh1PaEQ0re/4lRVB/bFTwFuJK/l9g16AO55yVVZE5DsR+Q53ReWDwnnP9CMwA5hXFYFWN32CvVI1S7OG0Xx90yCuG9KKXrKJSzbezo7nh7J3+wZfh6aqiIiEiUi8iMR7FrXyzDf3zE8ErheRq0SkE/AG7uGOp/ggXKWUKpOgkDA63fkjE+Ne5CdHP278eCm/rtEG4dKUt2UlzTMJkFFkPg13s/vbwOXeDNBX9An2StU8ATYLD43pzEOjmpEtQbQv2ETYh8NZPuNDX4emqkYfYLlnAnflZDnwBIAx5kvcDyN+AlgBxAOnGWP0MqVSqkYLDAzmzuvGMqZ7YxxOw9OfzWTpH9olrCTlGg3MGHM1gIjsAF4wxmiXL6VUtes14gKS2/Zg30dX0LFgPT3n38bCzX/R49pXCQoO9XV4ykuMMX/ivjh2vDKvAa9VS0BKKeVFdquFVy7uSaQzlRs2P0njP1NZaZz0GHGhr0OrUSp0z4ox5nGtqCilfKlR83a0ue8v5jd2N+b2T/mWpBeGkrRljY8jU0oppcrGahEev2gIh8M7ECAFdPjrZlbO/cXXYdUoZa6siMgyEann+X25Z77EqerCVUqpf9gDAhl442RWnvQuh4mgrXMrH338LlNX7vV1aEoppVSZ2AKC6HL7t6wKGUCQOGideC0rFv7p67BqjPJ0A/uRfx6G9YP3Q1FKqYrpMfxCDrTvw9efPc/bh06Bz5czb+shHj2zM0F2q6/DU0oppY7LHhBIx1u/Y+Mrp9EhdxXNpl3B2pDv6dKtj69D87kyV1aMMY+X9LtSStUEDZu04ty7XmPXb5t57Y8t/LRoI2esv5fmF06geft4X4enlFJKHVdAcCgtb/2J7S+fQivHFvK//Q/bgqfRum1HX4fmUxV9zgoAIhIgIk1FpHnRyVvBKaVUedisFu5O6MBH1/Tj0eCvGOKYT8ynCSz56Q1fh6aUUkqdUGBoPRr+9xd2W5uR4Qriti9Xsjs129dh+VSFKisi0l5E5gA5wE5gu2fa4flZ6+lzVpSqvYa2a8CI659nTUA8IZJHn2UPsOjlS8jJyvB1aEoppdRxhdZrRPj1P/NAxLOsyQjjyvcXkZKZd+IN66iKtqxMAVzAGKA30Msz9fT8rPX0OStK1W4xcS3odN9vzG9+I04j9Dsyjf0vDmTH+iW+Dk0ppZQ6rqhGLXn9+lE0iQpme0oWT779GZm5Dl+H5RMVrazEAzcaY6YbY1YYY1YWnbwYn1JKVZjVZmPgNc+xIeFTDlKPlq7dxH5xOrOnfY4xxtfhKaWUUqVqFBnEx9f247/Bs3gp7U5mvnEXBU6Xr8OqdhWtrKwDYrwZiFJKVZUug8/AcvNcVgX1JoMQ7pptuPurlWTlFfg6NKWUUqpUrRuEcfGg9ljEcF7aR3z74Ut+d7GtopWV+4HnRORkEakvIhFFJ28GqJRS3lA/tild703k1/4fkSqRfLd8D2e+NpfNWzb6OjSllFKqVM1H3cz2DtcCcM7OZ/hh6g++DaiaVbSyMgsYAPwGHAAOe6Yjnp9KKVXjWKxWrhx9El/cMJBGEUF0PZRIs48Hs/DrFzEu/2taV0opVTu0uugFdjQYQaAUMGDpXSQuWuPrkKpNRSsrwz3TiGJT4TKllKqx+rWKZtrtQ7ksag1B4qD/2idY9tL5ZKSl+jo0pZRS6t8sFlpe9xEHA1vQWFIJ+/kGlu046OuoqkWFKivGmL+ON3k7SKWU8rbo0AD63v0dC9rcjsNY6Z3xO2kvD2LLyr99HZpSSin1b4HhRF/zFbkSzEDLWr75+HX2p+f6OqoqV9HnrHQvZeomIu1EJNDbgSqllLdZrFYGXPEEW8d8RTINaGr20fy7s1j45QTtFqaUUqrGscZ2xJzzOq8E3cxnWb254eOl5Dqcvg6rSlW0G9gKYHkJ0wpgA5AmIh+KSJAXYqwUEWkmIn+KyDoRWSUiF/o6JqVUzdKx7ykE3/o3y0MGESAF9F8/nmff/5y0HP8c014ppVTNFdzjPM65/mEigwNYufsI//t+TZ0eIayilZVzgc3ADbifuRLv+X0jcClwLe57V56qdISVVwDc4XnAYwLwsoiE+jgmpVQNE1k/lvh7fmFB+3t53XkOb26JYsyrc1i5+4ivQ1NVSERaicgfngtaq/X8oJSqDVrUD2Xypb2Ikkw6rxrPR7PX+zqkKmOr4Hb/A243xswosmy1iCQBTxpj+olIFvAicE9lg6wMY8w+YJ/n92QRSQGigSxfxqWUqnnEYmHApQ8RvPsIzT5fxu7UHG5780fGd93LwIvu93V4qmp8ADxkjJkjItFAno/jUUqpMhnStj4zGk4mNm0l387KZG7jKQxp38DXYXldRVtWugE7S1i+07MO3F3CGp9oRyIyTESmisheETEick4JZcaJyA4RyRWRhSLSryJBi0hvwGqM2V2R7ZVS/qFHsyh+vnUoZ3RpwEvWSQzaOIEVL5xBWuoBX4emvEhEugAOY8wcAGNMqjFGnxSqlKodRGh4ztO4sHC+dQ6/f/4C+9JyfB2V11W0ZWUD8ICI3GCMyQcQETvwgGcdQBNgfxn2FQqsBN4Hviu+UkQuAiYCNwELgTuAGSLSwRhzwFNmRSm5JBhj9nrKRAMfAdcfLxjP4ABFBwgIB3A4HDgc5eu/Xli+vNvVZpqzf/CHnENs8NJ/erD0uwvI3/ACPbPnse+NYeQ2/W+dzru4yrzXlX2dRGQYcC/QG/fFr3ONMT8UKzPOU6YR7nPJrcaYRWU8RDsgU0Sm4j5nfWOMeaZSQSulVDWSVkMpGP4wlj8e537Xezz0YReeGXc5dmtF2yNqnopWVsYBPwFJIrLKs6wbYAXGeOZbA6+faEfGmOnAdAARKanIXcA7xpgpnjI3AWcA1wATPPuIP94xPBWQH4AJxph5JwjpQeDR4gtnzpxJSEjICTYtWWJiYoW2q800Z//gFzmHdOb7Fo8wcNdkmrOf83Y/zc9vbEVaJyCWEj+z6qSKvNfZ2dmVPWyVXszyLB+K+77LA8CvIrLYGOMHf9hKqbrCPvQOsnfMI2R7IrekPMmkXzpy91kV6oRUI1WosmKMmScirYDLgPaexV8DnxljMjxlPq5scCISgPuK2vgix3aJyCxgYBn3Ibj7JP9expjG4z75FQoHkhISEoiIiChr6ID7qmJiYiKjRo3CbreXa9vaSnPWnOuqjLRLWDLlWvpkzebcjE9ZtnknLa9+n/CoaF+HVqUq816np6dX6thVfTFLRPYASwq7BovINNwVlxIrK9ryXnn+mLfm7B98nbP93DfIfvMkWmTvoffie/i1+YeM7NK0So9Z2ZzLul1FW1bwVErerOj2ZRSDu7WmeHey/UDHMu5jMHARsKrI/TBXGGNWl1TYGJNHkRssC0+Qdru9wl/KKrNtbaU5+wd/yjk6piFht33Dd5PvYUzapwRl7uY/7y/n5csH0rVJpK/Dq3IVea+r8m/DGxezgMVAQxGpB6QBw4C3jlNeW969xB/z1pz9gy9zjmp2PQM3Pk0r2ccVX89lz8YIYqrhISIVzbmsre8VrqwAiEhnoDkQUHS5MeanyuzXm4wxc6nAQAKeftDjKrKtUqpuEosFa5tT2NbkXJ5I3MuWw07Oe30ej4zpyGX9WyAW/bioRpW+mGWMKRCR/wNmAwLMNMb8fJxNtOW9kvwxb81Zc65Ozm3deXxGFrv2Wvl+fwRfXdwcu1UgNAas3o2rsjmXtfW9QpUVEWkNfI/7PhWD+0Mez+/gPoF4QwrgBGKLLY8Fkr10jBIZYyYDk0UkAvcVN6WUAqBNj6G81Rnu+WYliev2c+Dnp1g27xAdrp9CWEQ9X4enyqFoV7MylNWWdy/xx7w1Z//g65ztHUbyVGwOoyfNYc3edDZ//RA9DnraEGzBcLRLrYDFCndvgADP46WWfgCp2yG6FdRrBdGtIaIJnOBCXEVzLus2FW1ZeQXYDoz0/OwH1MfLz1UxxuSLyFLPcX4AEBGLZ/41bx2nJNqyopQ6nsgQO29f0ZvPf1vI+XN+JDDDwe6XBnHwgg9o1aW/r8PzBz67mKWUUjVZXFQwE87rzk2fLCV7/xaM1YIYFxQUG9bYYgd7kS6sm2bCxl+OLWMPgQYdoWFnGP3cPxWbalTRyspAYIQxJkVEXIDLGDNXRB4EJgE9y7ojEQkD2hZZ1EpE4oFUY8wu3E3uH4rIEmAR7tFeQoEpFYy9TLRlRSl1IiLCpacMYEPE59SbdiPNzF5yvzqDxT0epu+5txW5gqW8zZcXs5RSqqY7rWsjLunXjEsWPURcRADTb+hKpLXYM2+N69jzVLfzIbKJu3Xl8HY4vBMc2bB3GaRsgrOLfLROfwBr6nYauroCo6s0l4pWVqxAhuf3FCAO2Ij7oZAdyrmvPsAfReYL+wN/CIw1xnwpIg2AJ3CPo78COM0YU5ZnuCilVJXr2G8Uh1v9zar3rqB77mL6rnqExTvn0eX6twkJq/s331eVmnoxSymlaoOHx3Rm4bZUtqVk8eCMvUy+tFdpIyu6dT3fPRVyFrgrLQfWQc7hYys2WxKxHNpCYPNmVZeAR0W7OK0Benh+XwjcJyKDgUeAbeXZkTHmT2OMlDCNLVLmNWNMC2NMoDGmvzFmYQXjLjMRGSci63CfAJVS6rjqNWhM13tnsKDlOJxG6Jv2K0kvjWBL8hFfh1ab9QGWeyZwV06W4754hTHmS9xdj5/AfSErHr2YpZRSAIQE2Hj54nhsFmHa6mS+WZpUvh1YbRDTDjqfDb3HHrvurNdwJjxDSlhZB+etuIpWVp4qsu2jQCtgDu52oNu9EJfPGWMmG2M6474fRymlTshitTJg7DNsSPiUFKJ4L3c4Z72+gB+W7/F1aLVSTb2YpZRStUX3plHcleB+JOKjP61ld2qlH9br1mIgrr43kBPYwDv7O44KVVaMMTOMMd95ft9sjOmIexjJhsaY37wZoFJK1TZdBp8B4xaT1PJ8svOd3PHlCl74fBq52Zm+Dk0ppZSfuXFYG/q1iiY738l936zC5TIn3qgGKdc9KyLyfhnKYIy5puIh1Qw6GphSqjJiGjTko2sbMOm3zXz4+3Iu3vB/7NkSTuAlH9O0bTdfh6eUUspPWC3C8xd057SX5zB/2yE+XbSLKwa08HVYZVbeL+JjgeFAFFDvOFOtp93AlFKVZbUId45qz5SzGxAi+bRxbifq41Esm673fyullKo+LeqHcv9p7jGwxk9b773uYNWgvJWVN4BI3Peo/AFca4w5t/jk9SiVUqoW6zlgBAXXz2a9vQthkkOvhXewcPK15OfmnHhjpZRSyguuHNiSfi3d3cHu/3YVxtSO7mDlqqwYY8YBjYHngDOB3SLylYicKscdC6320dHAlFLe1LBJK9rd9yfzG18JQP+D37DzhaHs3b7Bx5EppZTyBxaL8NwF3QmyW5i39RCfLtzl65DKpNz3Yxhj8owxnxtjRgGdgbXA68AOz5j4dYJ2A1NKeZvNHsDAG19lxdC3SCOUdgWbWfbh3SSu05F2lVJKVb2WMaHcd6p7uOHa0h2ssjePuwADCO4HRSqllDqB+JEXk331n/wdOIT/5V7J9R8tYfy09TicLl+HppRSqo4bO6glfVvWIyvfyaM/ra3x3cHKXVkRkUARuUREEoFNQDfgFqC5MUbH5VRKqTJo3KI9fe+dyvmD3SODvTV7K1++dBf7k7b4ODKllFJ1mcUijD+vO3ar8PuGA/y6JtnXIR1XuSorIvI6sA94APgZaGaMudAYM80Yo5cElVKqHAJsFh45szNvXt6LKwLncHnmFALePZlVf37j69CUUkrVYW0bhnHTSW0AeGzqWjJyHT6OqHTlbVm5CUgHtgEnAW+LyHfFJ69H6QN6g71Sqrqc1rUxN111FVusbahHBt3/vJYF796Bs6DmnjyUUkrVbuOGt6VF/RD2p+fx4sxNvg6nVOWtrHyEe8jiI0DacaZaT2+wV0pVpyatO9P0njksiHGP/j4gaQobnhtByr6dPo5MKaVUXRRkt/Lk2V0B+Gj+DlYn1cyv8OV6gr0xZmwVxaGUUn4vKDiUAbd8wJKfB9Np8UN0yV9FylvDWDNqMl0Hj/F1eEoppeqYYe0bcGaPOKau3Mv/fb+aH8YNxmqpWU8jqexoYEoppbysz5jrSbl0BtssLYk2aYz/ZR2v/rYZl6tmj9iilFKq9nl4TCfCg2ys3pPGx/N3+Dqcf9HKilJK1UAtOsTT+O65fNhiPH+7uvBi4ibGfrCYQxn61HullFLe0zA8iPtO7QDAxMRNpGbl+ziiY2llRSmlaqjg0HCuvuZmnvc8cXjX5lWkv9iHDQtn+Do0pZRSdcil/VvQsVE46bkFTEzc6OtwjqGVlVLoaGBKqZriwj7N+HHcEB4N/Y5WJNF22sUs/PhRjEtHjFdKKVV5Vovw2FldAPhs4S7W70v3cUT/0MpKKXQ0MKVUTdKhUTh9b/+MxeGnYBMX/be+zMoXRpOWetDXodVqInKniKwVkXUiMklEatadpUopVU0GtK7PGd0a4zLw+NSa82R7rawopVQtERYeRZ87v2Zh54fJNzbis+eT9eogtiyf7evQaiURaQDcAvQGunl+DvBpUEop5UMPnN6RQJuFBdtSa8yT7bWyopRStYhYLPT/zz3sOu9H9kgsceYAzX84lxnTvqsxV8FqGRsQBNg90wHfhqOUUr7TLDqEG4e1BuDpaevJdTh9HJFWVpRSqlZq22MIYbfNY1nIENaYltwy28ptX6wgM6/A16F5jYgME5GpIrJXRIyInFNCmXEiskNEckVkoYiUueuuMeYg8AKwC9gLzDLGbPVaAkopVQvddHIbGkUEkXQ4h3fnbPN1OFpZUUqp2iqyXgw975nK6uHvYyx2pq7cy7mT/mTb+mW+Ds1bQoGVwLiSVorIRcBE4HGgl6fsDBFpWKTMChFZU8IUJyL1gDFAS6AJMEhEhlVtSkopVbOFBNh4cHRHAF7/cysHM/J8Gk+5nmCvlFKqZhGLhauG96Br6+bc8tkyzk+bQtwXv7I4/hH6nnubr8OrFGPMdGA6QCn3vd8FvGOMmeIpcxNwBnANMMGzj/jS9i8iFwJbjDGpnvlfcN+zUuJNQCISCAQWWRQO4HA4cDgc5ciMo+XLu11t5495a87+oa7lfHrnBrzXNIJVSem8Mmsjj47p9K8ylc25rNtpZUUppeqA3i3q8cstA9k9eTxBuQ76rnyYxTvn0fX6dwgODfd1eF4nIgG4b4gfX7jMGOMSkVnAwDLuZjfu1pQgwAGcDLx9nPIPAo8WXzhz5kxCQkLKeMhjJSYmVmi72s4f89ac/UNdynlYhLAKK58t2kXLvO00CC65XEVzzs7OLlM5rayUQkTG4e56oF3llFK1QnR4CFH3zmD+x/+j3/Y36XtkOttfHIz14o9o3j7e1+F5WwxgBfYXW74f6FiWHRhjFojINGA54AJ+A346zibjcXc7KxQOJCUkJBAREVHWuAH3FcXExERGjRqF3W4v17a1mT/mrTlrzrXZ6o+W8dfmFJYXNOXl0d2PWVfZnNPTy/YsF62slMIYMxmYLCIRQJqv41FKqbKwWK0MHDuBNX8PplHiLbRy7STr01NZ2vcpeo+53tfh1TjGmP8B/ytj2TzgaOftwq5pdru9wl9OKrNtbeaPeWvO/qGu5Xz/6Z2YvWUOv6xJ5saT29C9adS/ylQ057Juo60GSilVB3UdfCbcNIe1Ad0JlVw6Lv4fE76eTV6B74eh9JIUwAnEFlseC9SMhwMopVQt1zkugnPjmwAwYfoGnwyRr5UVpZSqo2IaNafDvb8xv8k1POi4njeXZnDBG/PZnVq2fsI1mTEmH1gKjCxcJiIWz/x8X8WllFJ1zZ2j2hNgtTBv6yHmbE6p9uNrZUUppeowmz2Agde/xLlX3U69EDur96TxyKS3WJH4ia9DOyERCROReBGJ9yxq5Zlv7pmfCFwvIleJSCfgDdzDHU/xQbhKKVUnNYsO4YqBLQB364rLVb2tK1pZUUopPzC8Q0N+uW0ow5vCBPMy8X+PY8GbN+PI9+34+SfQB/fN78s98xM9vz8BYIz5ErjHM78CiAdOM8YUv+leKaVUJYwb3pbwQBvr9qUzfU319rTVyopSSvmJuKhg3r7hFLY3Oh2AAcmfsfX5k9mfVDMf2m6M+dMYIyVMY4uUec0Y08IYE2iM6W+MWejDkJVSqk6KDg3gmiGtAHjlt03V2rqilRWllPIj9oBABtz8JssGvkY6IXR0rCPg3ZNZ/ee3vg5NKaVUDXbNkFaEB9nYtD+TaWv2Vdtx63xlRUSiRGSJiKwQkTUiomN3KqX8Xq9TryDjyllssbahHul0+eNaFrx7J05nnRktTCmllBdFBtu5trB1ZdbmamtdqfOVFSADGGaMiQf6A/8nIvV9G5JSSvlek9ZdaHrPHBbWPweLGA7sXM8V7y3iYEaNvo9FKaWUj1w92N26svlAJtPXVs/tgXW+smKMcRpjCsfpDATEMymllN8LCg6l/60fsqjfKzwhNzJvWyqjJ81hwdbqH55SKaVUzVa0deW1P7ZSHY0rPq+siMgwEZkqIntFxIjIOSWUGSciO0QkV0QWiki/ch4jSkRWAknA88YYPQsrpVQR/UaP5YtbRtE+NoyDGbkc+uBS5n/4P1zaLUwppVQRVw9uRUSQjS0Hs1hxqOqv//u8soJ7TPyVwLiSVorIRbiHq3wc6OUpO0NEGhYpU3g/SvEpDsAYc8QY0wNoBVwqIsWfeKyUUn6vbcMwfhg3mP9rv4czrAsZuP011r98Jo6cDF+HppRSqoZwt660BuDXJAvOKm5esVXp3svAGDMdmA4gUmLt7C7gHWPMFE+Zm4AzgGuACZ59xJfxWPs9LSxDgW9KKiMigbi7ixUKB3A4HDgcjrIc5qjC8uXdrjbTnP2DP+YM/pG3XWDsZWNZMDWb+NVP0zFnOU+vO5feJ2fStH5YufZVl18npZTyZ1cPacl7c7exP6eA6WuSObd38xNvVEE+r6wcj4gEAL2B8YXLjDEuEZkFDCzjPmKBbGNMhohEAsNwP+W4NA8CjxZfOHPmTEJCQsoT/lGJiYkV2q4205z9gz/mDH6St701P7Z8lGU7D5Ab0oyVC2azqpyt/dnZ2ScupJRSqtaJCLJz9aAWvDt7C3kFrio9Vo2urAAxgBUoPtzAfqBjGffRAnhb3M02ArxqjFl9nPLjcXc7KxQOJCUkJBAREVHGQ7o5HA4SExMZNWoUdru9XNvWVpqz5lyX+WPewzNz+O33P0hIKH/O6enpVRSVUkopX7tmcAviMjdyXq8mVXqcml5ZqTRjzCIgvhzl84A8ERmH+z4aC4Ddbq/wl5PKbFtbac7+wR9zBv/Ku14YhNgqlrO/vEZKKeWPQgJsBFmr/jg14Qb740kBnEDxG+JjgeSqPLAxZrIxpjNQrpHHlFJKKaWUUt5Roysrxph8YCkwsnCZiFg88/Or8tie4ZLXAYuq8jhKKaWUUkqpkvm8G5iIhAFtiyxqJSLxQKoxZhfu+0c+FJEluCsOd+Ae7nhKVcZljJkMTBaRCCCtIn2vHQ4H2dnZpKen+013CM1Zc67L/DHvyuTsL/es6Pmh7Pwxb81Zc66rKptzWT87xZhqePTk8QIQORn4o4RVHxpjxnrK3ALcCzQCVgC3GWMWVlN8TXA/TFIppVTFNDXG7PF1EN6m5wellPKK454jfF5Zqek8o4jFAb9x7P0ri44zX/h7OO4TWVOgsk9VK368ypQtbX1Jy8uSZ9HfvZnz8WItbznN+fjLj5dz8flFuLti+iLnE5Wtypxr2/90Tck5HNhr6uDJpsj5IYOyf24Uzuv/UM35H/LHnI+3vjw5Fp+vKzmXtMzfvwtU1efYCc8RPu8GVtN5Xrw9IuIyxhxtrzrefOHvRR5ymVG0bEUUP15lypa2vqTlZcmz6O/ezLksuZS1nOZ8/OXl/fvmnw+las35RGWrMufa9j9dg3Kus33BCs8PUPbPjcJ59H+oxvwP+WPOx1tfnhyLz9eVnEta5u/fBarwc+yE29XoG+xrmMnlmC++riqOX5mypa0vaXlZ86yKnMuzX8257OvLm3Px+Zr89+2POZe2vibmXJeV57WsyX9P/vg/5I85H299eXIsPl9Xci5pmb9/F6iOz7ESaTewKlR4cz4Q6Y1adm2gOWvOdZk/5u2POVcHf31d/TFvzVlzrquqK2dtWalaecDjnp/+QnP2D/6YM/hn3v6Yc3Xw19fVH/PWnP2D5lxFtGVFKaWUUkopVSNpy4pSSimllFKqRtLKilJKKaWUUqpG0sqKUkoppZRSqkbSyopSSimllFKqRtLKilJKKaWUUqpG0ifYn4C4H0kaxz9P6VRKKVV24cBeUweHntTzg1JKVdoJzxFaWTmxOCDJ10EopVQt1hTY4+sgqoCeH5RSqvKOe47QysqJZQDs3r2biIiIcm3ocDiYOXMmCQkJ2O32KgmuptGcNee6zB/zrkzO6enpNGvWDOpuy4OeH8rJH/PWnDXnuqqyOZf1HKGVlTKKiIio0MkoJCSEiIgIv/rD1ZzrPn/MGfwzb3/Mubz0/FB2/pi35qw511XVlbNf3GAvIuNEZIeI5IrIQhHp5+uYlFJK+Z6eH5RSqmar85UVEbkImAg8DvQCVgIzRKShTwNTSinlU3p+UEqpms8fuoHdBbxjjJkCICI3AWcA1wATihcWkUAgsMiicHA3dTkcjjIfNM/hZH3SQXJTd7NjwwqCgkOwBgRiDwjEFhBMQEAgdnsAYqlb9cXC16g8r1Vtpzn7D3/MuzI514LXqVznB2/afTibI0dS2LZmITabHYsFEAsiFkQExEJBVEvEYsMigjX3EJb8bMQiiOAuZ/mnvAmNQSx297r8LKzOPPf5RSyebdzlLBZB7KGebUFcLgQXIhYsFneZunZeUkrVbnW6siIiAUBvYHzhMmOMS0RmAQNL2exB4NHiC2fOnElISEiZj70/B95fkcaCoP/BzpLLfF4wnIec12ETiLJkM9V6LwXYcIidAqw4sFMgNhzYWWHtzk+BYwiwQKDFxSV5X1FgseOyBOK0BOK0heCyhWBsQRQERlMQ3IBgGwRaQKTMYXtNYmJi9R/UxzRn/+GPeVck5+zs7CqIxDsqcn7w1sUsgBdmbOKkzT/RYfufpZbplzuZA9QD4FHbh1xtm1Fq2ZPyJrLTNALgPtsX/Nf2U6llT88bz3rTAoBbrN9zj/3rf5VxGcEAFxU8xkraYxHhcstMbrd8gRMrLqw4seDEilPc8xODb2VDQBdsFmGgYyHn5X6LCytGrLjEiktsuMRCg/wCXjyQzr6wLgTaLLTI30yv9N8w1kCwBoA9CLEFgS0Qiz2ItAZ9cEY0I9BmIcSZRnj2LgKCQgkICSc4JILgsEgCg0JqbCVLL3L4B8254tufSJ2urAAxgBXYX2z5fqBjKduMx90toFA4kJSQkFCuGyi3Hczil63TOZQfgV2c2I0DOwXYxHW0TD42nEZwGihwFdDQduTfO/KMOr0lN4blme4P4mDy+Sjo51KP/auzLzc57gTAIoYlgTeTK0HkSCi51jDybWE4AiJxBtcnK7oLR1qfSUxYADGhATSwZhJZrwFWW8X+NBwOB4mJiYwaNcqvbjDTnP2DP+ZdmZzT09OrKCqvqMj5wSsXswDSUizkWYI5YKKwYBDPh71gjs4HWIUgDAZwiZUsE3h0nfsalDlm20LF54sr3Pp4ZS3iXu5yGRzGuI9lzSXCUkIF1LOL/Ucy2OByD+rTw7qHTvZ1pcbw3vZh/OaKBuA8yxLGBXxeatlb829hqmsQAKdaFvFWwMv/KuM0QjZBTDBXkWgZSqAVush2rnF9Q44llFxLKPm2UAqsoThtYbjsoWSENMMVFE2IDYJtYK3iC3t6kcM/aM5lV9YLWnW9slJuxpg8IK9wXjzNEna7vVwn6g5xUXxz3wVMmxbC6NGjj27rLCjAkZ9LXl4uZxhhlCUEh9NFfl4eW1OmU+DIw+nIw+X56f49hyh7Ix4N60yOw0lBThYLdlyCFORgKcjBWpBNQEEGgc4sgp2ZpNoaYncJDqch0OQRTTqYdPcJxQU4gBwgDWbs6cM9y1oWZs/GwKuw4eSwRHLY1oCMoMbkhzZB6rXA2rgbYR2G0SQqmPCg478W5X296gLN2X/4Y94VybkOvkZeuZgFMMrhIDHRRdio90t9nf44Zu7UUvdlgFmFvxuDcY0k1xiMceFyuTDGgHEdnf/CGoSxWN1lHQM5VPAkxhhcLifGgBRuh2FSYBQuS4B7fU5Xtmddj9NZgHE6cBUU4HIWTg5uiWzP9bZwnC5DQEYMSw73wDgLMK6Coz9dBfkk70liZKdh9A1uQn6Bi6gjecw7mIE487AUTq58LM48rK58ouu3IN4SSZ7DRUxeGHtzGxJg8gkxOYSI+3RtFUM4OWQ6LBxwuc/bHS2p9AtY4T7vAeQf+7o95LiaT5yjAOgrG3g38EWOWOqRYatPTmAMBSENMaENsUY0giZ9CI9rR+PIIMICy/fVSS9yaM51VWVzLusFrbpeWUkBnEBsseWxQHL1hwNWmw2rLYygkLBia0IhblA59vRmqWsuBS4xhrwCF+lZuezc/xc5GankZx4mP+sIzuwjuLIPIVkHSZEWDLTWJyUzj9yMVAJNAQAxHCGm4AhkboZMYD/MXNubC6a7TwKRQTY+tz1GdkgTHPXbE9S4MzGtuhHTpG15Xg6llPKVcp8fvHUxqyjfV3zL0yIUAbQoY9k4oP+/ljocDqZNm8aFpwwukncH4LxS99T9mLlhwL1H55wFBeRkZ5CbmU5OVho3WqO4lFCy8524jjRk0Z4IXDlHMNmHseQdwZaXRoAjjeCCdPIDGhOeZyMjr4B6kkEkWUS6siA/yV2xKfLkh4cXj+VjZwIAA4N384TlHTKC4sgPc1/MC2zQisjGbWjYrB2h4VEl5uH797r6ac7+oaI5l3WbOl1ZMcbki8hSYCTwA4CIWDzzr/kwtConIgTZrQRFhUJUfKnlBgCXFZl35I/mSMo+0g4mkbF/B3kpOyBtN4GZSew27YnKtXMk24E1N5XOQesgfR2kJ8J2YB7kGxtdpDEzkuZwqOctdG8aSafGEQTZrVWbsFJKlYM/nx/qEqvNRlhEPcIi6pWwtiHQt9Rtn/NMDqeL9PRB7Nx/Jhkpe8g9vI+CtH2QkYwt5yBBeSnkhbQiIttGem4B9fOSaBewBbK2QBbujoMb/tnv87brWdnoQto0CKVzVD4dzQ7yM9MwLlfJgSiljqtOV1Y8JgIfisgSYBFwBxAKTPFlUDWVPSCQBnEtaRDXEhhyzLqewLVAZl4Bew+msnzdZPL2rsOWuomorG3EFSQRInm0ZTd/7kviqd1rAYiy5PBN8DMciuyCNOtH054JxLXsUN2pKaVUcXp+UNitFurXq0f9er1xj7nwb4UVm4xcB8l7O7JiWxdyD26HI7sIyEwiIncvMc79RJHJuuwo5m5JYe6WFM6wLOCigEn0ALKeeYCd9mYcCWuLs2EXwlv0pGnnQUTWi67GbJWqfep8ZcUY86WINACeABoBK4DTjDHFb6pUZRQWaKN904bQ9PJjlrucTnZv38D8GV9jb9yL4WkNWJWURvuctbR1bqVt6lZI/QlWPsReacieyN7QahhtBp5DdMM4H2WjlPJXen5Q5RUeZCe8dRto3abE9WmpB7ntSAGjUwvYejCL6O1r2XWwCXGufYRKLu0KNsORzXBkOmyCm365g9URJ9GpcTiDow7TI3Avse37EteyU40d3Uyp6lbnKysAxpjX0Gb9KmexWmnUoj2BTXty7ujTucpuxxjD3uTOLFvZkLydi6l3cCltHJuI4wBxR6bD8uk8tXgNSxpfxoiODRnRvj5dmkTph7RSqlro+UF5U2R0A3pGQ8/WhUs64nDcyU8//UR8pxYc2b2evD2rCEpZS2zOZtaZFuw5ksOeIzm0t/5AL/tXsACOEMauoI5kxXQnuGU/mnYdTEyj5r5MTSmf8YvKivIdEaFJ4yY0aTwWGAtAVsYR1i/9jayNf9LgwN/8nteTbbuPsGL3Ebb+Npd7A79jd9zpNBp8Ga06l97fWCmllKoNrDYbzdr1oHXnPscs/znXwYZ9Gazbm0bE2mVsPtCOFo7tREkmUblLIGkJJL0Pc+FK+4uEtuhJ96ZR9KmfR8fmjQiP1C5kqu7TyoqqdqHhUXQ/+Xw4+XwAPkvL5Y+NB/h9wwHO2LqYpiaZpnumwFdT2GFpRnLLc2l36o3Uj23q48iVUkop74kIstOvVTT9WkXD4IeBh8nPy2Xz+sWkbpqP7F1Ow/Q1NHTuZ15GAwrWJDN9TTLP2t6mt/UvdlqbciCiK6ZpPxp2GUbz9j2xWHVAG1W3aGVF+VyjyCAu6decS/o1JyvjW5bM/hrr2u/okrWQlq7dtNw2ifzXJ7M0Yhj5YyYzoH3c0SFDlVJKqbokIDCIdvFDIX7o0WWZmRl8ciCflbuPsCopjRZb07C4DC1cu2lxZLf7Hpg1kE4IO4K6MLv3JHq2akh8syhCy/lcGKVqGv0LVjVKaHgkfc64Ds64jrTDKaz4/WOi1n9G+4JNuNL2cMmUFbRtuIUbh7Xm7B5xBOiQyEoppeq4sLBwBoTBgNb1PUv+5ND+JHavmUvOtgVEHFxGq7wNREg2odlJvPDbdmA7FoFXIz4hJjwIa4sBxHU7mcbN2+l9oapW0cqKqrEi68XQ7/w7gTvZsvJvlq7eRdhmG1sOZPLUN/Po+8vjJLe9mG5n3VbqQ7iUUkqpuqh+bFPqx14MIy8GoMCRz5Z1i9i2K4mzMuNYuvMwyUcyOSn3d8LyciHlO1gKB6nH7tBu5DfpR0y3UbTu0h+LRXsrqJpLKyuqVmjbYzBtewzm0lwHny3cRf5fL9HStYeWm1/k8Itvs7rdDfQ8/x4Cg8rzNGallFKqbrDZA2jbYwhte0CCZ9m+1DQ2LpyAY/t8olOX08qxlQZymAZZs2HTbGavn8H5tkfo2zKaAa2jOSnqIK079cZq06+HqubQv0ZVq0QE2bnppDbk9X+ORb+0ofGat2lm9jJg84vsffZj9va8m15nXK83GCqllPJ7jaMjaXz61cDVAORmZ7J51VzSNs4hZN9C/s7uTFqOg1nr97Ny/QauCxpHOiFsC+5ObpMB1O8yklZdB2CzB/g2EeXXtLKiaqXAoBD6nX8nBWeNY9FPk2m5ehJx5gBxy+5n88p3SLvkZ/q0bezrMJVSSqkaIygkjM4DToMBpwHQxeni9L3pLNx2iNR1f5CRHEyEZBOfswC2LIAtL5PxQzBbQnuR0mUsHQeOoVm09mBQ1UsrK6pWs9kD6Hf+neScdh0Lvh5P1+3vszivGf/37jLO79WU/53RiehQvSKklFJKFWezWohvFkV8syg4qQ0FjqvYvHYBh9b8RtDeBbTOXkmEZNMz+2/u+LsH188JpVVMKGNaFDCy3kHa9TuN0Ih6vk5D1XFaWVF1QnBoOAPGPkPqgXFs/nMHLDvCt8uS2LBxLU8NMPQcdZmvQ1RKKaVqNJvdTrv4oe6hkwFnQQGbVv3NoVXTycwahm2PYXtKFvmHpxJv/5z8OVbWBXYmvdkImgw4n2btevg4A1UXaWVF1SnRDZvw6H+acOaAwzz4zQoePPw0Pf9ey+I1P9J+7OtE1ovxdYhKKaVUrWC12Wjf6yTodRIDgYxcB/O2HiL/70Xs2RdLE/bTOX81bF0NW19hp6UZexuNIHDobbiMr6NXdYVWVlSd1Kt5PX7870CWf9gT59519E2bwYFX+rJ6xMt0G3a2r8NTSimlap3wIDundmkEXR7HmMdI2rqWPUumErJ9Jh1zV9LCtZsGe76g54fDCbTbWehcx7kt8onv2kVH61QVppUVVWcFBQUx8MbJbFh8LqHTbqWZ2UvMb1cxf+uN9L/yGR0xTCmllKogEaFp2640bdsVeJC0wyls/vs7du7chu1AMOl5Tr5YnMQ1K+/FMTWVVVFDCehxIZ2HnI09INDX4ataRCsrqs7r2PcUcjovYtF7N9MvdSoDd77JihdW0Or6T4mM1m5hSimlVGVF1ouhz5gb6AOcmpPHa1/OwBEcRb312YSRQ9+0mTB7Jkdm38mm6OGE9PoPnQaM1me6qBOy+DoApapDcGg4/W77hMXdnyDP2AnL2sV/3lnE2r1pvg5NKaWUqlMCbRY61TM8cN5A6j+8lQ2nf83CBheQQhRRZNIvdSpdZ13B989cwhNT1+m5WB2XVmeVX+l73u1sadObR6ZtY+NhwwVvzGfyZT0Z0THW16EppZRSdY7FaqVj/wTon0CBw8GahdPJXvYVHVJ/55fcHvzx93be/3s7pzTM4LrYjbQdeQ0xjZr5OmxVg2hlRfmdtj2G8Hq7ftz6+XLmbE7hj08mENazBf3Ov8PXoSmllFJ1ls1up+uQs2DIWeTn5XLFlkMEr0hm1roD9En9mQHpUynY9DIrQvrh6nEJ3UZcove3qNrZDUxEWorIeyKyXURyRGSriDwuIgHFynUXkTkikisiu0XkPl/FrGqWqJAA3h/bl9s7ZfK4dQr9Vj/K/Pfvw7hcvg5NKaWUqvMCAoMY0aUJr1/Wm0X/G0mXnoPYaOuATVzE5yyg14LbSXumPQvevpU929b7OlzlQ5WqrIiIRUSGi8gjnsrD5yIySUSuFpGqbMPriDv2G4EuwJ3ATcAzRWKLAGYCO4HewL3AYyJyQxXGpWoRu9XCHVdcyMKmYwEYuOstFr92Jc6CAt8GppRSSvmRqJAAhp7/Xzo8tIidl/zJ/MZXkkIUMRxhwN6PCPnwFMa++ze/rtmHw6kXFf1NhSorIhIsIg8Bu4FpwOlAFOAE2gKPA9tFZJqIDPBSrEcZY341xlxtjJlpjNlmjPkJeAE4r0ixy4AA4BpjzFpjzBfAJOAub8ejai+xWBh4/css7Pw/nEbolzqV5ZMu1gqLUkop5QMtOvRk4I2vEvl/m1g+cBKrgnrznXMof245wk2fLGPQ+N/448MnSNm309ehqmpS0XtWNgHzgeuBRGOMo3gBEWkBXAp8ISJPG2PeqXiYZRIJpBaZHwjMNsbkF1k2A7hfROoZYw6XtBMRCQSKdpAMB3A4HDgc/0rzuArLl3e72qy25tzr3DtZHhpDj0X30Cc9kcWTLqbbzR+XaUjF2ppzZfhjzuCfeVcmZ396nZRS3mUPCKTnqVfBqVcRlZLJoSVJfLUkibbZyxi+/UXy33yZJZHDiTj5Vtr3OtnX4aoqVNHKSoIx5rgdCI0xO4HxIvIC0LyCxykTEWkL3ArcU2RxI2B7saL7i6wrsbICPAg8WnzhzJkzCQmp2NNXExMTK7RdbVY7c67PtgbjOO/ga/RNT2TiK0/TqmNfLFK2rWtnzpXjjzmDf+ZdkZyzs7OrIBKllL9pHhPGfad15M5R7Vn0Vw4b5nemo2MdfdJnwU+z2DitIxnx19J91JUEBAb5OlzlZRWqrJyoolKsrAPYWpayIjIBuP8ExToZYzYU2aYJ8CvwtZdab8YDE4vMhwNJCQkJRERElGtHDoeDxMRERo0ahd1u90JoNV/tz3k0y2e0YOHCuUw6MoALHU156qzOWI5TY6n9OZefP+YM/pl3ZXJOT0+voqiUUv7IbrUweMSZMOJMtiyfzeE/X6PHkd/oULABltzL/iUT+HPQB5xx0iDCAnXA27qi0u+kiHQvZZUBcoFdxpi8Mu7uReCDE5TZVuTYccAfwDyg+I3zyUDxh2fEFllXIk+sR+MVcX9JtdvtFf5yUplta6vanHPfMdeR3Gw0li+W8/XSPYQFWHjkzK6I5fi3eNXmnCvKH3MG/8y7IjlXxWskIi2Bh4ERuFvJ9wKfAE8Xdvv1lCnesg4w0BizoMi+LgSeBFoCm4H7jTHTvB60Usrr2vYcBj2HkZK8m83TXqXdri/JcAXywO9pPD3vN64c2JKr+jehQVSYr0NVleSNaucK3BWT0jhE5EvgRmNM7vF2ZIw5CBwsy0E9LSp/AEuBq40xxYeHmA88LSL2IvfUjAI2lna/ilKFzuwRh8sY/u/LBQxbcgsLM0Yw4PLHfB2WUurY0SC3AF2Bd4BQju0KDHAKsLbI/KHCX0RkEPA57q6/P+O+x/IHEelljFlTZdErpbwqplEzYq55jrzcx1g4bwmtlrnYlpLFO3+s4+J5o1kYM4SmZ9xHk9ZdfB2qqiBvVFbOBZ4FngcWeZb1A+7GPSqYDZgAPMW/TyQV4qmo/Il7WOJ7gAaFLSDGmMJWk89w33vynog8i/uEdjvuYY6VOqGz45sQuSmJk9ethC0rWfJLE/qccb2vw1LKrxljfsXd9bfQNhHpANzMv88xh4qcE4q7HfjVGPO8Z/5hERkF3IJ7KPx/0QFYKs8f89acq4fFaidh6EBGDjbMWn+Adb99SNOMFJoe+gHnhz+yOHIUDUb/H03adK2S4+v7XPHtT8QblZX/AbcbY2YUWbZaRJKAJ40x/UQkC3cXL69UVnC3kLT1TEnF1gmAMSZNRBKAybhbX1KAJ4wxb3spBuUHTr7wNha8sYYBB76i+6IHWBsVR5fBZ/g6LKXUsYqPBlnoJxEJwj2C5XOeYe4LDeTY+xPBPWLkOcc5jg7A4iX+mLfmXL3at+7CFwf+jzb7f6GvayV902dS8Pks5toHc6D5WQRGFr9TwDv0fS67sg7C4o3KSjfcLRzF7fSsA3dXscZeOBYAxpgPOPG9LRhjVgFDvXVc5YdE6HfDGyx7OZlembNplngdO6Kn0rJTH19HppSi1NEgM3G37v8NuIDzcXfxOqdIhaUR/4wQWWi/Z3lpdACWSvLHvDVnX+Z8BnAX61fMIe+3CcTnLuTkgjk4ts5jfLvPufSUAbSoX7ELDcXVnJyrT2VzLusgLN6orGwAHhCRG4rc3GgHHvCsA2jCv08KStUKFpuNzuO+YP3EUXRyrCXzq0s4Mm4OUTHH+06jlCoPb44GaYxJ4dhKxWLPgCz3AkVbV8pFB2DxHn/MW3P2nU59R0DfEWxc9hc5iU9zILOA99cU8OG6v7mwd1PuPLkZsfXreeVYNSXn6lTRnMu6TYWeYF/MOGAMkCQis0RkFu6uWWNw9yEGaA287oVjKeUTQcGhxN30PUnSiDhzgG3vXkmBs/iYDkqpSngR6HSCqayjQZZkIe6uw4VKGzGy1NEilVK1W4deJxF//0xir/2c4R0a4HQZ/lq8gsBJXZn/zh1kpJXUm1T5WqUrK8aYeUAr4BFglWd6BGhVOESkMebjIjcxKlUrRdaPxXHhJ2w1TXg07Uyem7HR1yEpVWcYYw4aYzacYCpsvS8cZKW00SBLEg/sKzI/HxhZrMwoz3KlVB3Wo2UsU67uxzc3DeTW+ouJkkwG7plCwUs9WPD50+TnHXfwWlXNvPLEHGNMBvCmN/alVE3WqnNfpp0/k9WfrWT17G10bRLJ6Z0b+DospfxGWUaDFJGrgHxguWez84BrgOuK7OoV4C8RuRv4BbgY6EPZWmmUUnVAn5bR9L77FZbP6k/9Bc/Q3LWHARufY8+ED0nuez+9Trv6hM9YU1XPK++AiFwhInNFZK+ItPAsu1NEzvbG/pWqSUZ3b8rNJ7cB4MNvvmf72kUn2EIp5UWFo0GOxN3leF+RqaiHcbe8LATOBi4yxkwpXOnpFXAp7srJSuAC4Bx9xopS/kUsFnomXE7cgytY2OURUoiiidlP70V3sfLZU9i4L83XIfq9SldWRORm3DcyTgfqAVbPqsPAHZXdv1I10T0JHfhvs118ZnmUsB+vxpGX5euQlPILxpgPjDFS0lSkzIfGmM7GmFBjTKQxpr8x5psS9vW1MaaDMSbQGNNVn16vlP+y2QPof+HdhNyzivnNbyTHBDA3qymjX/2bx6euJS3Hf56fUtN4o2XlVuB6Y8zTQEGR5Uv4Z+hipeoUq0W46eLzOWSJJs7sp/HGKRiX3nCvlFJK1WYhYZEMvOY5jlwzl83tb8DpMkz5ewfjXniPRd+/isvp9HWIfscblZVW/NMvuKg8INQL+1eqRoqo35DMM9/BYawMdi5i2Y+TfB2SUkoppbygcYsOvHLlED6+th9tY4K5x/E2/VY+xObxg9i6eoGvw/Mr3qisbMc9ykpxpwHrvbB/pWqs9r1OYnHbWwGIX/ss29cu9HFESimllPKWoe0aMO22IeS2G0OWCaJDwQaafzOa+e/cTm6OdgGvDt6orEwEJovIRYAA/UTkf7if9PucF/avVI3W+8IHWWzpQZA4sHx7LdmZejOeUkopVVcEBAQw4IonyL5hActDh2AXJwP3fMCB5/qydv50X4dX53njOSvv4n7q8FNACPAZ7odB3m6M+aKy+1eqprNYrexofz0HqUcL127++ORZX4eklFJKKS9r0KQVPe/9heUDXyWFKJqbPXSZcTEffPw+2fkFJ96BqhCvDF1sjPnUGNMOCAMaGWOaGmPe88a+laoNAoIj2Df8JV4o+A+37hjItNXFR1FVSimlVF3Q89Qrsd++hMXRZ7LI1YEn1jbgrMkL2J7h68jqJq8+6cYYk22MOeDNfSpVW3QaNAYz9G5cWPjf96s5kK5PwFVKKaXqosh6Deh72yc4Lv2e2MgQdqZm8+YaJ399/BT5eXm+Dq9OqVBlRUSWi8iyskzeDlipmuz2ke3pEhdBdnYW0z4Yr8MZK6WUUnXY4I5N+PWOYZzTozH32r7ilF0vs/25wezepmNMeUtFW1Z+AH70TDOANriHKv7TM+V6ls2obIBK1SYBNgsvXdiN7wIfY2zqyyz+7mVfh6SUUkqpKhQZbOf5C7oRGduaNELp4NxM5IcjWPjLB74OrU6oUGXFGPN44QQ0ACYZYwYaY+7yTIOAl4FYL8aqVK3QvnEUGe3OBaDr6gns2bbWxxEppZRSqqrZm/cna+zvbLR3IkKy6b/4duZOuprs7Exfh1areeOelQuBj0pY/glwvhf2r1St0++Sh1kb0I0QySP98+twFugoIUoppVRd16BJG9reN5vFTa4EYEjqdyS9MIydW7VbWEV5o7KSAwwuYflg3N3BlPI7FquVepe+R6YJppNjHYs/e9zXISmllFKqGljtAfS9/lXWj5jCYSKIde7j5o8WMWvdfl+HVit5o7LyMvCGiEwSkcs906vAZOAlL+z/uEQkUERWiIgRkfhi67qLyBwRyRWR3SJyX1XHo1ShuJYdWN/jQQB6bn2DXZtW+DYgpZRSSlWbTsPOw3X9X0ys/zjr8mK47qMlvDxrEy6X8XVotYo3Hgo5AbgK6A1M8ky9gKs966rac8De4gtFJAKYCez0xHYv8JiI3FANMSkFQJ9zbmVVUB8CxcGhb+7CqR9QSimllN+o36Q1D427jrGDWgKw5Pfv+HvixWRk6kNZyspbD4X8yhgz2BgT7ZkGG2O+8sa+j0dETgcSgHtKWH0ZEABcY4xZa4z5AndF6q6qjkupQmKx0PDSN5lp+jMu/So+nLfD1yEppZRSqhrZrRYeO6sLL53bllfskxma+SvbXzqVfcn/utauSmCryEYiIsYYn14iFpFY4B3gHCC7hCIDgdnGmPwiy2YA94tIPWPM4VL2GwgEFlkUDuBwOHA4HOWKsbB8eberzTTnf6vfuCX7Et5k79T1PDdjA8PaRdMiOqQ6Q/Q6f3yfwT/zrkzO/vQ6KaXUiZzbvwNbzesE/noD3Z1r2fbmKDZe/BUdOnbxdWg1WoUqK8BaEXkC+K5YZeAYItIOd0vGTm92CRMRAT4A3jTGLBGRliUUawRsL7Zsf5F1JVZWgAeBR4svnDlzJiEhFfuCmZiYWKHtajPN+VgRBtpFWNicDpPeeZ/hXVpisXilYdOn/PF9Bv/MuyI5Z2eXdB1JKaX8V5sBZ7I/5hdyPr2A1iaJg5+PZuGpH9B/0HBfh1ZjVbSycivwLPC6iCQCS3DfN5IL1AM6A0OALsBrwBtl2amITADuP0GxTri7foUD4ysS/AmMByYWmQ8HkhISEoiIiCjXjhwOB4mJiYwaNQq73e7NGGsszbn0nLsNzGbe5Bu4suBX5uf9H33Or709Ev3xfQb/zLsyOaenp1dRVEopVXvFtu1Fxs1/sOuds2nu2E7wjIuZlfoKp4y52Neh1UgVqqwYY34D+ojIEOAi3PeHtACCgRRgOe5nr3xaWnerUryIu8XkeLYBI3B388pzN7IctUREPjXGXAUk8++HUhbOJ5e2c2NMHpBXOF+4f7vdXuEvJ5XZtrbSnP+tbWwkKR27w6Zf6b5+Iof2nUej5u2qMULv88f3Gfwz74rk7G+vkVJKlVV4wxYE3fEHW944j7aZy8hY+BGTQ/vw35PbUOy7rd+raMsKAMaYucBcL8WCMeYgcPBE5UTkNuChIovicN+PchGw0LNsPvC0iNiNMYUdp0cBG8tZgVLKa/pe9ADrJ/xMJ8c6tn52E7H3JSJ1oDuYUkoppcrHHlqPNnf8yl8fP8W9G/tQMGMjaTkOHjy9o1ZYiqiV35KMMbuMMWsKJ2CTZ9VWY0yS5/fPgHzgPRHpIiIXAbdzbBcvpaqV1Wol9MI3yDV2uucuYfGPr/k6JKWUUkr5iNgCOenqJ3ngjG4AvDN7C69//Lk+6qCIWllZKQtjTBrue1taAUtxdzF7whjztk8DU36veft4lrf9LwAdV47n4N4dvg1IKaWUUj513dDWPHd+N56yT+Hmrf/ls7fG43C6fB1WjVAnKivGmB3GGDHGrCi2fJUxZqgxJsgY09QY86yPQlTqGH0vfohNtvZEkM2eT27CuPQDSamyEpEdImKKTQ8UK9NdROaISK6I7BaR+0rYz4UissFTZrWIjK6+LJRS6lj/6d2Uoe1isIjh0uTn+ODdVyjQCkvdqKwoVdvY7AHYz3udfSaat47046dV+3wdklK1zSNA4yLTq4UrRCQCmAnsBHoD9wKPicgNRcoMAj4H3gN6Aj8AP4hI12qKXymljmWx0PyKt9jT+j9YxXDl3qd4c8r7fl9h0cqKUj7SqnNfvh3yC9Nd/Xn0p7UczMg78UZKqUIZxpjkIlNWkXWXAQHANcaYtcaYL4BJuJ/7Veh24FdjzPPGmPXGmIeBZcAt1ZaBUkoVJ0KTy99kf9NTCZQCxu7+H6989KVf38NSqdHAColIG+BqoA1wuzHmgIicDuwyxqz1xjGUqotuHNGRX9YdYv2+dJ75dgETrxyqo4MpVTYPiMjDwC7cA6q8ZIwp8KwbCMwu9tDiGcD9IlLPMyLkQP494MoM4JzSDigigUBgkUXh4H4WjcPhKHmjUhSWL+92tZ0/5q05+wdv5xx92fukvH8+MQcXcPWOe3j2o2DuvmQ0FkvNGSWssjmXdbtKV1ZE5CRgOvA3MAz4H3AA6AFcC1xQ2WMoVVfZrRZeuLA7r0+eyEPb32Pp9Efpc8b1vg5LqZpuEu5WkFRgEO6H+Tbmn5aTRsD2YtvsL7LusOfn/hLKNDrOcR8EHi2+cObMmYSEhJQj/H8kJiZWaLvazh/z1pz9gzdztjW+mvi0AzTM28muTcu57g0r57d0UdNGNa5oztnZ2WUq542WlQnAQ8aYiSKSUWT572hzulIn1CUukstbZ1N/dwaWxY+T0vs0Yho183VYSlUrEZkA3H+CYp2MMRuMMUVbRFaJSD7wlog86Hmwb1UZz7GtMeFAUkJCAhEREeXakcPhIDExkVGjRvnVwzP9MW/NWXOulJEns2D+bH79MxSSoXeX9ow7ubX39l8Jlc05PT29TOW8UVnpBlxawvIDQIwX9q9Undf78ifZ+lwibZzbWf7xTdS/e6p2B1P+5kXggxOU2VbK8oW4z2ctgY1AMhBbrEzhfHKRnyWVSaYUnorQ0cpQ4UPb7HZ7hb+cVGbb2swf89ac/YPXc45sxNDT/sOj4dt5fOo63v1tFQ3CA7lsQEvvHaOSKppzWbfxxrehI7ib34vrCezxwv6VqvMCAoPg7NdxGCs9s+aybPp7vg5JqWpljDnoaTU53pRfyubxgAv3RTKA+cAwESl6JhwFbPTcr1JYZmSx/YzyLFdKqRrl6sGteHSAhV8C/o/NUycybbX/jCLqjcrKF8CzItIIMIBFRAYDLwAfeWH/SvmFNt0HsaT5tQC0Xvw4Kcm7fRyRUjWPiAwUkTtEpIeItBaRy4CXgE+KVEQ+A/KB90Ski4hchHv0r6JduF4BThORu0Wko4g8BvQBXqu+bJRSquzGNt5FC8sBHrR9yltf/MCCbYd8HVK18EZl5f+ADcBuIAxYB8wG5gFPeWH/SvmN3pc/yVZrK+qRwa6Pb9aHRSr1b3nAxcBfwFrcg7q8BBx9hooxJg1IAFoBS3F3MXvCGPN2kTLzcHdhvgFYiXswmHOMMWuqJw2llCof6XcDpv3pBEoBE62vcOfHc9mRknXiDWu5SldWjDH5xpjrgdbAGOByoKMx5gpjjLOy+1fKnxR2B8s3Vjak2fllpbauKFWUMWaZMWaAMSbKGBNsjOlsjBlf/MZ6Y8wqY8xQY0yQMaapMebZEvb1tTGmgzEm0BjT1RgzrfoyUUqpchJBznkdE96YNpZ93OV4l2s+WExadt0eItprd/AaY3Z7Pui/BUJFpJ639q2UP2nTfRAf9/mO/yu4joenbtSHRSqllFLKLSQaOf9djFi40DabTqm/cfOnS3HU4afcV7qyIiIvi8i1nt+tuJvmlwH/3959h0lVnn0c/94z29iFpUtHkaIURRBRUQkWQI0tiSZGY+8xiSZGTfJGY4wmJppojEaNsWCPxh41gAVLROkIFgSkK2Vpy7KwO+ze7x9nFoZxYdvMzuzO73Nd59o553nOOfd9pjz7nLrMzEY1dPkimeis40bSv0sh60sjXPf8HJ0OJiIiIoG9DseO+DkAN2Q/wtyFS7n+xY9xb55PuU/EkZVTCc73BTiR4HSwfQnOIb45AcsXyTg5WcHDInuGijhz/hVMf/WfqQ5JRERE0sXIn0P7voQ6DyTfynhyylIe+t/iVEeVFInorHRgx33pjweedvfPgQcJnsEiIvUwsGtr/tD3U44Iz6XftN+wcun8VIckIiIi6SArF857jfaXvsKFxx8GwM2vfsqURetSHFjiJaKzsgoYED0F7FhgYnR6PqAL7EUa4OAf3Mi8rH0ppJR1j51HxbZtqQ5JRERE0kHLjmDGBYf34uQDulJR6Vz+xAxWF29NdWQJlYjOykPA08BcguesvB6dfjDBLY1FpJ6ysnNoecaDbPY8BpTPYcrj16c6JBEREUkjVrKa21o9yffbLWDNpjIuf2JGs7rgPhG3Lr4BuBD4B3BYzO0jK4BbGrp8kUzXbe+BfDLkOgCGfXEvn894O8URiYiISNp4/06yp97Hb1o+R6vcMFMXr+cPrzaf4wUJuXWxu//b3W939+Ux08a5+4uJWP6umNk3zexDM9tiZuvN7IW48p5m9oqZlZrZajO71cyykhmTSDIMO+mHTG85imyroMXLl7J504ZUhyQiIiLp4LArITufvNWzGHd48FT7B/+3iJdnf5nauBIkIZ0VMysws+PN7FIz+0nskIjl72Kd3wEeJTgNbTBwGPBETHkYeAXIAUYA5wDnAjcmKyaRZLFQiD7n/5NVtGdrhXHnS5NTHZKIiIikg5Yd4eBLABi6+AEuG9UbgF88+1GzeMJ9Ip6zMgRYADwJ3AX8GrgD+D1wZUOXv4t1ZgF/Ba5293vd/XN3/8Tdn46pNgYYAPzA3We5+2vAdcDlZpaTjLhEkql1u46sPOkJTorczH1zKnl6mp5uLyIiIsAhl0M4B1ZM56oBmxjeqx2byyu44qmZTf76lUScEnU78DJwKbAROASIAI8RdCiSYSjQDag0s5lAZ2AWQedlbrTOocAcd18VM9944B5gIDCzugWbWS6QGzOpFUAkEiESidQpyKr6dZ2vKVPOyTVgvwO5bN0X/OX1BVz3wlz6t89i3+4dkr7eeJn4PkNm5t2QnDNpO4mIpFTLjjDoOzD7SbKm3c/t3/srx93xDrOXb+T2iZ9zzbH7pjrCektEZ+UA4BJ3rzSzCiDX3b8ws2uAccBzCVhHvL2jf28AfgYsBq4CJplZP3dfR9CBWRU3X9V4590s+5fAb+InTpgwgfz8/HoFO3HixJorNTPKOXl6OAxsDUeUvErLcT/jpQHXk5Vbv89mQ2Xi+wyZmXd9ci4tLU1CJCIiUq3hF8HsJ2Huc3QbcxO3fGd/fvj4DO55eyGH9+nAiD6Nv3MzERLRWYkAVceXVgM9gU8JjrL0qMuCzOwW4NoaqvVnx+lrN7v7s9F5zwOWA6cB99VlvXH+APwlZrwVsHzMmDEUFhbWaUGRSISJEycyevRosrOzGxBS06GcGyfnww9dQ8U9P6MzRaxf/BiDrngOCyXkErRaycT3GTIz74bkXFxcnKSoRETka7odCL2Pgg77AHD8fl04/aAePDV1GT99ehb/vWIkbQua3pUQieiszAQOAuYDbwM3mlkH4CyCZ6/UxZ+Bh2uo8wXQJfr6k6qJ7l5mZl8QdJYAVgLD4+btFFNWreitl6tuv4yZAZCdnV3vf04aMm9TpZyTq2Onrnx+0gO0e/HbDC19jw/+fQuHnPm1A4JJl4nvM2Rm3vXJOdO2kYhIyv3gOYj+7wpw/YkDmLJ4HV+s2cw1z37EP846cPv/tk1FInbF/gr4Kvr6/4D1BNeFdAQursuC3H2Nu39Ww1AOTCfoUOxTNa+ZZQN7AUuikyYD+5nZHjGrGA0UE9PJEWmq+g0dxcwB1wAw7PM7mPNOUu8ULiIiIukuriOSn5PFnacPITtsTPxkFc/OWJGiwOovEQ+FnObub0Vfr3b3Y9290N0PdPfZDQ+x2nUWA/cCvzWzMWa2D0EHCeCZ6N8JBJ2SR81ssJmNBW4C7o55cKVIkzb8tGuY2nosWVbJnm9exrL5SfnKiYiISFPhDovehcl/B2BQt9b8dHQ/AH778ses3Lg1ldHVWeOd5J54VwNPETxrZSqwJ3CUu68HcPcK4ASgguAoy2PAI8D1KYlWJAksFGK/Sx/is6z+FLIZnjidjRs3pjosERERSZW1C2DcCTDh17ApuLfUxUfszeDurdm0dRu/en4O7p7iIGsvEc9Z6WRmj5rZl2a2zcwqYodEBFkdd4+4+8/dvVP0SM5od/84rs4Sdz/e3fPdvWO0/rZkxSSSCnktCmh/4dOsoBP3lh/Lj/79WZO/p7qIiIjUU4e+0ONg8AqY9TgAWeEQt542mJxwiDc/W81zTeh0sEQcWXmY4LknvwNOBb4dN4hIknXs3JON57/Lc6GxvDu/iGuf/YjKyqaz10REREQSaOjZwd8ZjwSnhQH9OrXiimP6AsHpYKuKm8bpYInorBwOnOnu97j7C+7+YuyQgOWLSC0M6NmJu88cQjhkvDXjUyaOuynVIYmIiEgqDPwW5LSC9Ytg8XvbJ18ycm/2796a4q3b+NVzTeN0sER0VpYBTeseaCLN1FH7duLWU/rxTM6NjF1yG5MfbfzbGYuIiEiK5RTAfqcGr2eM2z45Kxzi1lOD08He+Gw1L83+MkUB1l4iOitXAreY2V4JWJaINNC3h/ehqO9pABy68A6mvnBXiiMSERGRRld1KtgnL0HJmu2T9+ncih8f1QeA3/3nEzZuiaQiulqrV2fFzNab2TozW0dwR65RwEIz21Q1PaZcRBrZIWfdyAedzwRgyMzrmPHfh1MbkIiIiDSurkOCp9q36QEbl+1UdPE39qZ3xwKKSsq5bfy8FAVYO/V9gv2ViQxCRBJv+EV/Y+qdazlo43/Zf/JPmVYRYdg3L0p1WCINYmajgLd2UTzc3adGj/Qvqqb8UHf/IGZZpxHcHGYvYD5wrbu/msh4RURSxgxOfwIK9oDQzscncrPC/O6UQZxx/4c89uESvnNgdw7o0SY1cdagXp0Vdx9Xcy0RSaVQOMzQHz/O1L+dyUEb/8uQKVfzQWWIQ068INWhiTTE+0CXuGm/A44GpsVNPwaIvaX92qoXZjYCeBL4JfAf4AzgBTMb6u5zEx20iEhKtOq8y6IRvTvwrSHdeH7mCn79whxevPxwwqH0uwy93tesmFnIzK41s/+Z2VQzu8XMWiQyOBFpmHBWFgf+5AmmtDuBL70DP3s/m6emLE11WCL15u7l7r6yaiDogJwMPORfv63N2ti67h57YvYVwH/d/VZ3/9TdrwNmAD9qnExERBpRZCvMfgoqd34E4q+O709hXhZzVxTz6OTFqYmtBvU9DQzg/4AbgNeBLQQ//HsA5zc8LBFJlFA4zLDLH+G259/ny2nF/OK5OZSUbeOCw3thln57UETq6CSgPfBQNWUvmVke8DnwJ3d/KabsUOAvcfXHA6fsakVmlgvkxkxqBRCJRIhE6naBalX9us7X1GVi3so5M6R1zu5k/WMkVjSPbZEyfPAZ24va5IW4anRffvPyp9w6YR7H7NuBToV5tVpsQ3Ou7XwN6aycDfzQ3e8DMLNjgFfM7EJ31+OzRdJIKBzm6u8cTqTFp9z/7iLmvnY/U2av5MBL7iMrOyfV4Yk0xAXAeHdfHjOtBLgK+B9QCXyH4BSvU2I6LJ2BVXHLWhWdviu/BL52P/AJEyaQn59fr+AnTpxYr/maukzMWzlnhnTNuXfOUAYxj8j43/DGshZUhHbsdyl02LNlmCUlFVzx0CTO7lu3f+Prm3NpaWmt6jWks9IT2H4horu/bmYOdAWW73IuEUkJM+NXx/enZ04xp713P3lFEWb/eRl7X/Y0rVq3S3V4kuHM7Bbg2hqq9Xf3z2Lm6Q6MBb4bW8ndi9j5qMlUM+sKXA3EHl2pqz/ELbcVsHzMmDEUFhbWaUGRSISJEycyevRosrOzGxBS05KJeStn5ZwWth2F3/seLTYu47i2S6g87MqdinsNKeZb937A9KIQ1377EIbU4mL7huZcXFxcq3oN6axkAVvjpkWANHyHRASCDstZow9hRuXt9H//ZwzeOpVFfx1FyTnP0GXPfVIdnmS2PwMP11Dni7jx8wiuWalNB+RDYHTM+EqgU1ydTtHp1XL3MqCsarzqNMrs7Ox6/3PSkHmbskzMWzlnhrTNOTsbjr4enruI8Pt/JTzsXGjZcXvxAXu259Sh3Xlm+nJ+/9rnPP/DEbU+Vby+Odd2noY8FNKAh83suaoByAPujZsmImlm6NizWH7KsxTRhl6VS8h76Bhmv/VMqsOSDObua9z9sxqG8qr6FrSi5wGPxF04vysHAF/FjE8muINYrNHR6SIizc+gU6HLYCjfBBN+/bXiq8fuQ35OmFnLNqTVk+0b0lkZB6wGNsYMjwFfxk0TkTTUd8hItl3wBgvCvWlLMYPfvpD37/sxkQpdciZNwlFAL+Cf8QVmdo6Zfd/M9o0OvyK4+cvfYqr9FTjWzK6K1rkBGAbc1Qixi4g0vlAIvnk7YPDRU7DwzZ2K9yjM44ejegPwx9c+Y0t5RTULaXz1Pg3M3c9LZCAi0vg69+jD1p+/y4cP/JiDi55l8tJSbr1vMneePoQe7ep3wbBII7kAeD/2GpY41wF7AtuAz4Dvufu/qwrd/X0zOwO4Cfg9wUMhT9EzVkSkWet+IBx8CaxdCO37fK34wiP25skpy1ixYQv3v/sFPzm6bwqC3FlDjqyISDOQ16KAg3/0IFNGjuPR7FOZuXQDx9/5Ls+9PZ3KivTYqyISz93PcPfDdlE2zt0HuHuBu7d294NjOyox9Z5x933cPdfdB+np9SKSEcbcBGc+A216fq0oLzvMtcftC8A9kxayqjj+8vTGp86KiAAw/KhTePkn32BozzaUbd3Cfm+cxWe3jGTJvFmpDk1EREQSJZwNsRfPb167U/GJ+3dhaM82bIlUcOv4eY0c3NepsyIi2/Vol88zl47gtiOMblbEgMhcujxxNJMfupatWzanOjwRERFJlPLN8OLlcM+hO3VYzIzrThgAwLMzljNv5aZURQg04c6KmfUzsxfNrMjMis3sPTM7Mq5OTzN7xcxKzWy1md1qZg25XbNIsxcOGSd982Q2nv8us/MOIse2ceiSe9nwx8FMe+kenRomIiLSHFgIlk2FklXw/MVQuaN9H9KzLccN6ow73DYhtUdXmmxnBfgPwQ0CjgIOBGYD/zGzzgBmFgZeAXKAEcA5wLnAjakIVqSp6bLnPux/zQSmHfgnVtOOzqxh2IxfsOj3w/jgk0WpDk9EREQaIrsFnPogZLWABa/DpFt2Kr5qTD9CBhM/WcXMpetTFGQT7ayYWQegL3CLu3/k7vOBXwD5wKBotTHAAOAH7j7L3V8juDvM5WaWk4q4RZoaC4UYduIltLr6Iyb3upxN3oIV5QWc9eR87pwb5q15a3D3VIcpIiIi9dF5EJz41+D1O3+Cea9tL+qzRyu+PbQ7QEqvXWmqp0StBeYBZ5vZDIInCl9C8NyX6dE6hwJz3H1VzHzjgXuAgcDM6hZsZrlAbsykVgCRSIRIpDbPHduhqn5d52vKlHPzlJWTx7Azfsv6okuZ/u5nZM3axsJN8H+Pvcle+bezftC57Df2XLJz8lIdalJlwnsdryE5Z9J2EhFpsgZ/D1ZMgyn/gOcugYvfgvbB81auPKYvL836kvcXruV/C4o4rE+HRg+vSXZW3N3N7BjgBWATUEnQUTnW3auOU3UGVsXNuiqmbFd+CfwmfuKECRPIz6/fcycmTpxYr/maMuXcfO2dC9cdAG9/FWJ40Xj6VS6Aj37Nmtm3MbXFEZR0G0luYadUh5lUmfJex6pPzqWlpUmIREREEm7MzfDVbFj2ITx9DlzyNoTCdG+bzxkH9+Th9xfzp/HzeKF3eyz2TmKNIK06K2Z2C3BtDdX6ExxVuZugg3IEsAW4EHjZzA5y968aEMYfgL/EjLcClo8ZM4bCwsI6LSgSiTBx4kRGjx5NdnZ2A0JqOpRz5uTcZuJEDvnuzbw/vgf9Fj9OR9vA8VtfhoUv83HOYDYP+B59R51Jy4KCVIebMJn6Xtc35+Li4iRFJSIiCZWVA6eNg0dPgdE3QCi8vejyI/vw9LRlzF62gQmfrGLswN3t809CaI26tpr9GXi4hjpfEFxUfwLQ1t2rWsMfmtloggvpbwFWAsPj5q3a3btyVwt39zKC08oAtvces7Oz6/3PSUPmbaqUc2Zo16ELnc79PeVl1zNz0r8IzXyU/bZMY2D5bDbN/JxDp3XnkL7d+Ob+nTl6nw4U5jeP08Qy8b2uT86Zto1ERJq0wi5w2WQI7XxJe8dWuZx/WC/uemsBt42fxzH9OxEONd7RlbTqrLj7GmBNTfXMrOp8rMq4okp23DRgMvB/ZraHu6+OThsNFAOfJCBcEYnKyc1jyNhzYOw5rFw6n0Wv/4MvVq6jpDiL1z9dxeufrmR87i9YltuW4m4j6XjA8ew96BBC4XDNCxcREZHGEdtRKZoPK+fAoG9z0ci9efSDJcxfXcKrc77ixMFdGy2ktOqs1MFkYD0wzsxuJDgN7CKgF8HtigEmEHRKHjWzawiuU7kJuDt69EREkqBzz750Pv9WDnHnwFWbeHXOSubOmsI+m5dB+TJY9BEsuoui59uwtOVgyrsdTPv9xtKr/1Cywk3yBoUiIiLNy/rF8MBoKNsELdrSuveRnH9YL25//XPuenMB39yvS6OF0iQ7K+5eZGbHAjcDbwLZwMfAye4+O1qnwsxOILj712RgMzAOuD41UYtkFjNj386F7Nu5EEb3Y9mCwayY9gp5SybRr3QGHWwDHUrehnlv88DHczgldC6DurVmaKcwRzGVDn2H0b3vAWTn5Na8MhEREUmcNntCn2NgzjPw9Nlw/njOHdGX+9/9gnmrNjHx01Uc1a99o4TSJDsrAO4+DRhbQ50lwPGNE5GI7E6PPvvRo89+wC8oK9vCxzMmUTzvHfJXTmX61sFs3lrBh4vWEVryMdfm3AyzoMyzmZ+1J+tb9aOyfV/yuvSnbb9D6datp47CiIiIJIsZnHw3bFwBS9+Hx0+j9QUTOGfEntz91kLuenMBR/Zt1yihNNnOiog0Xbm5LRh46HFw6HEA/K3S+fGqTcxdsZHN89byyeJB9CxfSEvbQt+KBbBhAWwAFsLVb13MCxzJnu0LGNnqK8Zsm4S17Uleh1607tqHPXr2Jb9lm1SmJyIi0vRl5cLpj8MDY2DtfHjsO1zw3Rd48L0wc1Zs5J35RY0TRqOsRURkN8Iho3+XQvp3KYRhZwNnU1lRwfLFn7F6/lTKVswhZ8NC2pQuYUlFDyIRZ8HqEg5aO4VDsp/82hOV1lNIUVYnXul0GVu6j6B723x6tSila3gj7TrtSev2nbCQjsyIiIjsVn47OOu5oMOy5lPavXgW5x10C39/fyV3T/qCc7olPwR1VkQkLYXCYbr3Hkj33gN3mv5UpfNV8VYWri6hZME2PlhSSk7Jcgq3fknHipW0ZjNtKabttmI+WLSODxZ+AcAZ4Tf4ffYDQHB6WVGoHRuzOrIlbw8iBZ1Z3us0WnTpT+fWuXTKhz0K88nJbR63WhYREam3Nj3hrOfhwWMhlMV5h/bkn1NWM3PZRg5rlfxbGKuzIiJNSihkdGvTgm5tWkC/k4GTdyrfuL6IomWfU7zyC47P2o99S7JYvr6UbiuzWb+lkLYUk2sRuvkqukVWQQTYBKcv3ZsPKrcAOzo262lFcagNm7PasDWnHZHctoRLjZdatKZFl31oV5BDx5xy2uVCqzbtycrOafwNIiIikmx79IdzX4F2e9MxJ5/vH9SDcZOXMH65cUWSV63Oiog0K63bdqB12w6w/wiG7FRyEPBHyraWsvarpWxcvYTSomVENqyA4q/oXTCYitKWrCzeStdNGwBoyybaVm4KbrlcDpQES/ruW4OY4psB+EF4IjdlPwTAZs9js+VTGmrJ1nBLyrJa8XqnCyluO4DCFtnsuW0pPUtnE84tIJxTQDivgJy8ArLzWpKT35Lsdj1oUVBIi+ww2bqBgIiIpJPOg7a/vOQbvVk99VkmFA9h+pL1HNJnj6StVp0VEckouXn5dO21L1177bvT9ENiXnvlKNavvZkNa5azef1KyjasIlK8msqSNZSuWUyvnv3x8rasLSmnY8mOxzYV2FYK2AqV64JH1EbgpnljmeoFAJwdHs+p2eN2Gdu55VczqTLoYp2W9S6/DT/IFsujnGy2WTYVlkVF9O8Trc5nfsEQssMhBkQ+5pji5/FQDhWhbDyUvf0vlsWnHY6hqOW+hEPQvmwZ/dZNwkJhsKzgbygM4eD12nZDKS3cm7AZBZG1FG74hLnrC3RbRRER2a7rrDu5J+svPGtH8N783uqsiIg0JguFaNuxC2077vzQq0gkwquvvspNx48hOzs7OnUUkfI7KNm4js0b17KlZD1lm9ZRvnk92zZv4KTWh3NIZSuKt0TosWYfZq4bQVbFVrIqt5BdWUZO5VZyfSt5XsYWdlwjk+tbybcy8ol2hjw6RC1ftYb/Va4FoG1oHkNz3t5lPv9a1pqXKoN4x4amcH7OXbuse23kIv5VcSQAI0Oz+V3WQzzlt3NNLbediIhkgE4DcQuzT9ssTjq6T1JXpc6KiEgDZefkVtu5ARi+09gg4PJdLucpd8orKtlSXsGWkoNZvukitpWVUFFeRqS8jMptZVSUl1GxrZzTWw/kxOz2lG2rJG9DAZPXtMa3lWOV5VhFBKuMEKosh8ptHND+IDq26EVFpdOppJTpa47DKiuASqyyAvMdQ6dWfTiqxR5sq3R6benK8k396RXyXcYsIiIZqP8JbDtvPAtnrGAfS+5py+qsiIikCTMjNytMblaYNvkdYI8OtZyzBzBql6UH7TQ2EDhtl3X332lsOJHImVzw6qu1jENERDJGlwPAvkz6anQFp4iIiIiIpCV1VkREREREJC2psyIiIiIiImlJ16zUUnFxcZ3niUQilJaWUlxcHHPnoOZNOSvn5iwT825IzvX53WyK1D7UXibmrZyVc3PV0Jxr+9tp7rrLy+6YWTdgearjEBFpwrq7+4pUB5Foah9ERBJit22EOis1MDMDugJvsPNdSKfsZrzqdSuChqw7sKmBocSvryF1d1Ve3fTa5Bn7OpE57y7WutZTzrufvruc48enAEeTmpxrqpvMnJvadzpdcm4FfOnNsLGJaR82UfvfjapxfYfS5zuUiTnvrrwuOcaPN5ecq5uW6f8LJOt3rMY2QqeB1SC68VaYWaW7bz9etbvxqtdBOwbApti69RG/vobU3VV5ddNrk2fs60TmXJtcaltPOe9+el0/3+z4UWrUnGuqm8ycm9p3Oo1ybrbnglW1D1D7342qcfQdSpvvUCbmvLvyuuQYP95ccq5uWqb/L5DE37Ea59MF9rV3dx3G48uSsf6G1N1VeXXTa5tnMnKuy3KVc+3L65pz/Hg6f74zMeddladjzs1ZXbZlOn+eMvE7lIk57668LjnGjzeXnKublun/CzTG71i1dBpYEplZIbARaJ2IXnZToJyVc3OWiXlnYs6NIVO3aybmrZyVc3PVWDnryEpylQG/jf7NFMo5M2RizpCZeWdizo0hU7drJuatnDODck4SHVkREREREZG0pCMrIiIiIiKSltRZERERERGRtKTOioiIiIiIpCV1VkREREREJC2psyIiIiIiImlJnZU0YGY9zGySmX1iZh+Z2WmpjqkxmNnzZrbezP6d6liSycxOMLN5ZjbfzC5MdTyNIVPe2yqZ+B02szZmNs3MZpnZXDO7KNUxNVeZ+PmCzPgdUfuQGTLxO5zINkK3Lk4DZtYF6OTus8ysMzAd6Ofum1McWlKZ2SigFXCOu5+a2miSw8yygE+AIwkenDQdGOHua1MaWJJlwnsbKxO/w2YWBnLdvdTMCoC5wLDm/tlOhUz8fEHz/x1R+9A839fqZOJ3OJFthI6spAF3/8rdZ0VfrwSKgHYpDaoRuPskYFOq40iy4cDH7r7C3UuA14AxKY4p6TLkvd0uE7/D7l7h7qXR0VzAooMkWCZ+viAjfkfUPmSITPwOJ7KNUGelFsxspJm9bGZfmpmb2SnV1LnczBab2VYz+9DMhtdzXQcCYXdf1tC4G6Ixc05nCdgOXYEVMeMrgG5JDrtBMvG9T2TO6fIdrkkico4e5p8NLAdudfeiRgo/raiNyIzfiXhqHzLnfVcbkdo2Qp2V2ikAZgOXV1doZt8D/gL8FhgarTvezPaIqVN1zl780DWmTjvgEeDiJOZSW42ScxPQ4O3QBCnnOLXNOc2+wzVpcM7uvsHdBwO9gDPMrFPSo05PaiPiZEgbod/KOM00Z1Ab8TWN2ka4u4Y6DIADp8RN+xC4K2Y8RLCH5Bd1WG4u8A5wVqpzbKyco/ONAv6d6hyTtR2AEcDzMeV3AGekOpfGeO+b0nubiJzT+TuczPc5pvzvwKmpziXVg9qIxOUcna9J/I6ofajb+95U3tdE5p3O3+Fkvtcx5fVuI3RkpYHMLAc4EHi9apq7V0bHD63lMgx4GHjT3R9NQpgJlYicm4NabocpwCAz62ZmLYHjgPGNHWuiZOJ7X5ucm9p3uCa1zLmTmbWKvm4NjATmNX606U1tRKC5/07EU/sQyIT3XW1EIJlthDorDdcBCAOr4qavAjrXchmHAd8DTokeFp9lZvslMMZES0TOmNnrwDPA8Wa23Mya2o9ZjdvB3bcBVwFvAbOAP3vTvtNLrd77ZvDexqpNzk3tO1yT2uS8J/Bu9Hzkd4G/ufucxguxyVAbsUMmtRFqH3Zozu0DqI2IlZQ2Iqu+UUriuPt7ZGDH0d2PSXUMjcHdXwJeSnUcjSlT3tsqmfgddvcpwAGpjiMTZOLnCzLjd0TtQ2bIxO9wItuIjNpwSVIEVADxFw11AlY2fjiNIhNzrk4mbgflvINyltrIxG2ZiTnHy8RtkIk5Q2bm3ag5q7PSQO5eTvBwn6OrpplZKDo+OVVxJVMm5lydTNwOyjmgnKW2MnFbZmLO8TJxG2RizpCZeTd2zjoNrBaiF771iZnUy8wOANa5+1KCW7eNM7NpBBfMXUlwy7eHGjnUhMnEnKuTidtBOQPKuVnmnCyZuC0zMed4mbgNMjFnyMy80yrnVN8OrSkMBLfY82qGh2Pq/AhYApQR3M7t4FTHrZy1HZSzclbO2pbKWdtAOSvvppyzRVcmIiIiIiKSVnTNioiIiIiIpCV1VkREREREJC2psyIiIiIiImlJnRUREREREUlL6qyIiIiIiEhaUmdFRERERETSkjorIiIiIiKSltRZERERERGRtKTOioiIiIiIpCV1VkQEM8sxswVmNiJJy59kZnfUc94OZrbazLonOCwREamB2gdJNXVWpNkxs4fNzKsZ+qQ6tjR2KbDI3d9vzJWa2VtmduHu6rh7EfAI8NvGiUpEmiu1D/Wi9kFSSp0Vaa7+C3SJGxbFVzKznEaOK+2YmQE/Ah6ooV52gtfbDjgMeLkW1R8CzozOIyLSEGofakntg6QDdVakuSpz95VxQ0X0cPNdZnaHmRUB4wHMbJCZvWZmJWa2ysweNbMOVQszswIzeyRa/pWZXRV/6Dq6d+6U2CDMbIOZnRsz3sPMno5OX2dmL5rZXjHlD5vZC2b28+h61prZ3bENgZnlmtkfzWyZmZVFD89fYIEFZvbzuBgOqGHP4YFAb+CVmHn2is7zPTN728y2EjQG7c3sSTNbYWalZjbHzL4ft76vbatdrPebwAx3X2Vmbc3scTNbY2ZbzGy+mZ1XVdHdPwa+BL61i2WJiNSW2ocd9dU+SNpTZ0Uy0TlAOcFem0vNrA3wJjATGAYcC3QCno6Z51bgG8DJwBhgFDC0LiuNNijjgU3AEdH1lwD/tZ334B1J0DgcGY313OhQ5RHg+8BPgP7AJUCJuzvwIHAeOzsPeMfdF+witCOAz919UzVltwB/ja5nPJAHTCdoSAYB/wAeNbPhMfPUdludBLwYff07YABwXHRdlwFFcfWnRGMVEUkWtQ87U/sgqefuGjQ0qwF4GNhG8ENfNTwTLZtEsLcmtv6vgfFx07oDDvQDWgJlwGkx5e2AUuCOmGkOnBK3nA3AudHXPwA+AyymPCe6nDExsS8GwjF1ngaeir7uF13PMbvIvWs09+HR8WxgDXDObrbXHcAbcdP2iq7nilps7/8At0Vf13Zb5RI0ygOj4y8BD9awnr8Ab6X686VBg4amO6h9UPugoekNWYg0T28R7H2psjnm9fS4uoOBI82spJrl9AZaEDQaH1ZNdPd1ZjavjjENBvoAm8wsdnpedD1VPnb3ipjxr4D9oq8PACqAt6tbgbt/aWavAOcT7Gk6keCH/5ndxNUC2LqLsmmxI2YWBn4FfBfoRrBdcgkaG6J51GZbHQWs9uDwPcA9wLNmNhSYALzgX7+YcwuQv5s8RERqQ+2D2gdpQtRZkeZqs+/6sPbmuPGWBBfxXVtN3a8IGpDacMDipsVedNiSoCE8s5p518S8jlSz3KpTNrfUIo5/Ehx6/ynBIf5/uXvpbuoXsaOxixe/ra4GrgCuBOZEy+8gaIDq4iSCvWUAuPtrZrYncDwwGnjDzO5299jzq9ux83YSEakPtQ9qH6QJ0TUrIjADGAgsdvcFccNmYCFBA3Fw1Qxm1pbgkHusNQR3lamq05ed9/TMAPoS7DGKX8/GWsY6h+B7+43d1HmVoJG4jOD86gdrWOZMYF+L2523C4cBL7r7Y+4+G/iCnbdDjdsqup4T2XE+MgDuvsbdx7n7Dwgau4vj1j0oGquISGNR+6D2QVJMnRURuJtgr8yTZnaQmfU2s7Fm9pCZhd29hOC2jbea2VFmNojg3OHKuOW8CfzIzIaY2TDgXnbeC/Y4wV6qF83sCDPrZWajzOxOq+UDrdx9MTAOeNDMTolZxndj6lRE4/sDMN/dJ9ew2LcI9uoNrEUI84HRZjbCzPoD9xFcbFq17tpsqwMJGun3qiaY2Y1mdrKZ9TGzgcAJwKcx5fnR+SbUIkYRkURR+6D2QVJMnRXJeO7+JcEeoTDBj90cgkPXG9jxI3o18C7B6QCvE/yQxp/bfBWwLFrvCeA2dpyrS/RQ+0hgKfAcwY/tAwTnJBfXIeTLgH8Dfye4IPN+oCCuzgMEh94fqmlh7r4WeJ7qTz+IdxPBHsDxBBejrgReiKtT07Y6GXjV3bfFTCsnaDw/At4hOO/69Lh5lrr7u7WIUUQkIdQ+qH2Q1DMP7qIgInVkZpOAWe5+ZYpD+RozOwJ4A+jh7qtqUX9/YCLQO7r3K5mxfQTc5O5P11h5xzwfAHe6+xPJi0xEJDHUPtQ7NrUP8jU6siLSjFjwQLDuwA0Et+OssSECcPePCC4g7ZXE8KqeCP0s8Fod5ulAsKfxyWTFJSLS3Kl9kKZKR1ZE6ikd95xZ8DTkB4BZwEnuviKlAYmIZCC1DyKJo86KiIiIiIikJZ0GJiIiIiIiaUmdFRERERERSUvqrIiIiIiISFpSZ0VERERERNKSOisiIiIiIpKW1FkREREREZG0pM6KiIiIiIikJXVWREREREQkLf0/5jsQI91K1KYAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 800x1000 with 12 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(6, 2, figsize=(8, 10), sharex=True, constrained_layout=True)\n",
    "fom.transfer_function.bode_plot(w, ax=axs)\n",
    "_ = rom.transfer_function.bode_plot(w, ax=axs, linestyle='--')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c2ed3878",
   "metadata": {},
   "source": [
    "Also, we can plot the magnitude plot of the error system,\n",
    "which is again an LTI system.\n",
    "\n",
    "```{math}\n",
    "\\begin{align}\n",
    "    \\begin{bmatrix}\n",
    "        E & 0 \\\\\n",
    "        0 & \\hat{E}\n",
    "    \\end{bmatrix}\n",
    "    \\begin{bmatrix}\n",
    "        \\dot{x}(t) \\\\\n",
    "        \\dot{\\hat{x}}(t)\n",
    "    \\end{bmatrix}\n",
    "    & =\n",
    "    \\begin{bmatrix}\n",
    "        A & 0 \\\\\n",
    "        0 & \\hat{A}\n",
    "    \\end{bmatrix}\n",
    "    \\begin{bmatrix}\n",
    "        x(t) \\\\\n",
    "        \\hat{x}(t)\n",
    "    \\end{bmatrix}\n",
    "    +\n",
    "    \\begin{bmatrix}\n",
    "        B \\\\\n",
    "        \\hat{B}\n",
    "    \\end{bmatrix}\n",
    "    u(t), \\\\\n",
    "    y(t) - \\hat{y}(t)\n",
    "    & =\n",
    "    \\begin{bmatrix}\n",
    "        C & -\\hat{C}\n",
    "    \\end{bmatrix}\n",
    "    \\begin{bmatrix}\n",
    "        x(t) \\\\\n",
    "        \\hat{x}(t)\n",
    "    \\end{bmatrix}.\n",
    "\\end{align}\n",
    "```"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "16e10085",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "err = fom - rom\n",
    "_ = err.transfer_function.mag_plot(w)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cf3f8f20",
   "metadata": {},
   "source": [
    "and its Bode plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "586ce0f9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x1000 with 12 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(6, 2, figsize=(8, 10), sharex=True, constrained_layout=True)\n",
    "_ = err.transfer_function.bode_plot(w, ax=axs)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d8e7e42e",
   "metadata": {},
   "source": [
    "Finally, we can compute the relative errors in different system norms."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "7cce62e3",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Relative Hinf error:   1.236e-06\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Relative H2 error:     6.797e-05\n"
     ]
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     "output_type": "stream",
     "text": [
      "Relative Hankel error: 2.377e-06\n"
     ]
    }
   ],
   "source": [
    "print(f'Relative Hinf error:   {err.hinf_norm() / fom.hinf_norm():.3e}')\n",
    "print(f'Relative H2 error:     {err.h2_norm() / fom.h2_norm():.3e}')\n",
    "print(f'Relative Hankel error: {err.hankel_norm() / fom.hankel_norm():.3e}')"
   ]
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    "Download the code:\n",
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