IAM-614--Computational-Finance/week1/week_1.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "25cdfebd",
   "metadata": {},
   "source": [
    "## Week 1 - Fixed Income Portfolios"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3945d9cf",
   "metadata": {},
   "source": [
    "### Internal Rate of Return"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "id": "cb009ba4",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import numpy_financial as npf\n",
    "import matplotlib.pyplot as plt\n",
    "from datetime import datetime"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "703ffab6",
   "metadata": {},
   "source": [
    "In accordance with NEP 32, the function irr was removed from NumPy version 1.20.  A replacement for this function is available in the **numpy_financial** library: https://pypi.org/project/numpy-financial.  \n",
    "To install numpy-financial --> pip install numpy_financial"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "aa4abb31",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The internal rate of return is 0.0600\n"
     ]
    }
   ],
   "source": [
    "cash_flow = [-100, 6, 6, 6, 6, 106]\n",
    "irr = npf.irr(cash_flow)\n",
    "print(f\"The internal rate of return is {irr:.4f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "55be725a",
   "metadata": {},
   "source": [
    "### Present Value of Varying Cash Flow"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "50a4cccd",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The net present value is 100.00\n"
     ]
    }
   ],
   "source": [
    "cash_flow = [0, 8, 8, 8, 8, 108]\n",
    "r = 0.08\n",
    "npv = npf.npv(r, cash_flow)\n",
    "print(f\"The net present value is {npv:.2f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "40777a53",
   "metadata": {},
   "source": [
    "Note that npv should be 0 when the r equals to IRR. This small differenca could be caused by Python's floating-point arithmetic precision."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "04257bf2",
   "metadata": {},
   "source": [
    "### Approximation Using Duration & Convexity"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6a23ed19",
   "metadata": {},
   "source": [
    "#### Computing Macualy Duration"
   ]
  },
  {
   "attachments": {
    "image.png": {
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"
    }
   },
   "cell_type": "markdown",
   "id": "970932a8",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a8048672",
   "metadata": {},
   "source": [
    "* Since we need an additional function that creates our cash flow from coupon rate and face value, we should define it first."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "ff2e8f53",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cash Flows: [0, 10.0, 10.0, 110.0]\n"
     ]
    }
   ],
   "source": [
    "def create_cash_flow(face_value,coupon_rate, bond_length, freq=1):\n",
    "    coupon_payment = face_value * coupon_rate / freq\n",
    "    cash_flows = [coupon_payment] * (bond_length - 1) + [coupon_payment + face_value]\n",
    "    cash_flows.insert(0, 0)\n",
    "    return cash_flows\n",
    "\n",
    "face_value = 100\n",
    "coupon_rate = 0.10\n",
    "periods = 3\n",
    "cash_flow = create_cash_flow(face_value, coupon_rate, periods)\n",
    "print(\"Cash Flows:\", cash_flow)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "id": "ef545438",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The Macaulay Duration is 2.5128 years\n"
     ]
    }
   ],
   "source": [
    "def calculate_macualy_duration(yield_, face_value, coupon_rate, bond_length, freq=1):\n",
    "    # i should start from 1 \n",
    "    dur = 0\n",
    "    cf = create_cash_flow(face_value, coupon_rate, bond_length)\n",
    "    npv = npf.npv(yield_, cf)\n",
    "    coupon_value = coupon_rate * face_value\n",
    "    for i in range(1, bond_length+1):\n",
    "        if i == bond_length:\n",
    "            dur += ((coupon_value + face_value)*i)/((1+yield_)**i)\n",
    "            continue \n",
    "        dur += ((coupon_value*i)/((1+yield_rate)**i))\n",
    "    dur = (1/(1+yield_))*(dur/npv)\n",
    "    return dur\n",
    "\n",
    "yield_rate = 0.09\n",
    "face_value = 100\n",
    "coupon_rate = 0.10\n",
    "macualy_duration = calculate_macualy_duration(yield_rate, face_value, coupon_rate, bond_length=3)\n",
    "\n",
    "print(f\"The Macaulay Duration is {macualy_duration:.4f} years\")\n",
    "        "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cb128016",
   "metadata": {},
   "source": [
    "#### Modified Duration"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "id": "88e0dc16",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The Modified Duration is 2.3053 years\n"
     ]
    }
   ],
   "source": [
    "def calculate_modified_duration(macaulay_duration, yield_):\n",
    "    mod_duration = macaulay_duration / (1 + yield_)\n",
    "    return mod_duration\n",
    "\n",
    "macualy_duration = 2.5128\n",
    "yield_rate = 0.09\n",
    "\n",
    "modified_duration = calculate_modified_duration(macualy_duration, yield_rate)\n",
    "print(f\"The Modified Duration is {modified_duration:.4f} years\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "62b943f4",
   "metadata": {},
   "source": [
    "* Up until now, the primary goal has been to replicate the functionality of MATLAB's cfdur function (specifically, its Macaulay and Modified Duration calculations)."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bc11b058",
   "metadata": {},
   "source": [
    "#### Calculating Convexity"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "id": "1af3bd4d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The Convexity is 8.9325\n"
     ]
    }
   ],
   "source": [
    "def calculate_convexity(yield_, face_value, coupon_rate, bond_length, freq=1):\n",
    "    conv = 0\n",
    "    cf = create_cash_flow(face_value, coupon_rate, bond_length)\n",
    "    npv = npf.npv(yield_, cf)\n",
    "    coupon_value = coupon_rate * face_value\n",
    "    for i in range(1, bond_length+1):\n",
    "        if i == bond_length:\n",
    "            conv += ((coupon_value + face_value)*i*(i+1))/((1+yield_/freq)**i)\n",
    "            continue \n",
    "        conv += ((coupon_value*i*(i+1))/((1+yield_/freq)**i))\n",
    "    conv = (1/(1+yield_)**2)*(conv/npv)\n",
    "    return conv\n",
    "\n",
    "yield_rate = 0.09\n",
    "face_value = 100\n",
    "coupon_rate = 0.10\n",
    "convexity = calculate_convexity(yield_rate, face_value, coupon_rate, bond_length=3)\n",
    "print(f\"The Convexity is {convexity:.4f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "61632e93",
   "metadata": {},
   "source": [
    "#### Approximation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "id": "b2ed2627",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "--- Reference Point (YTM = 0.05) ---\n",
      "P0 (Exact Price): 117.7298\n",
      "Macaulay Duration: 3.3618\n",
      "Modified Duration: 3.2017\n",
      "Convexity: 15.3091\n",
      "------------------------------------------\n"
     ]
    },
    {
     "data": {
      "image/png": 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/Tq+zdetWMjIycm3zrVq1Ijw8/LZjuRdF8T4NHz6cLVu22ByOOH36dJo2bUqdOnUAWLFiBUajkSeeeMLmM9fNzY327dvbfObe72dTXp577jkAfv75Z+uySZMmUbduXdq1a3fPzytEYZPiSwgHUbNmTZo0aUKTJk3o1q0bP/74I126dOH1118nMTERgGvXrhEUFJTrnI2yZcui1+u5du2azfIyZcrkeh1XV1fS09MBS2dCs9lMUFBQrvXyWpYfd3d3a+F44MABEhMTiYyMzNVoIzg4uEDPFxcXd8cuaFevXiUxMdF6XtzNX1euXCE+Pv62j1+zZg1nz56lf//+JCcnk5iYSGJiIgMGDODGjRvMnTs312Pye59ufd/1en2u9z7nsbeue+t7kpCQgKIoeb5X5cqVy/UcZcqUoU+fPmRkZNCtWzfq1q17u2nb8PPzs7nt4uJy2+U5lw6Ijo6mbdu2XLx4ke+++46NGzeyc+dOJk+eDGD9+bpb165dK/C8IffPt6ur6329/q3atWvHokWLrL9whoSEUKdOnTx/NvJyp/Fdu3YNvV6f6/0ODAwshNFbnD9/HldX11yvUVB55eHo+Y8ZM4b33nuPfv36sWTJErZv387OnTupX79+no8tSI6Q/+fDneScy3X27Nk7rpvzeoX9Pg0ZMgRXV1fruYtHjhxh586dDB8+3LrO1atXAcsfJW79zJ03b16uz9z7+WzKS2BgIAMHDuTHH3/EZDJx4MABNm7cyIsvvnhfzytEYZNuh0I4sHr16rFixQpOnDhBs2bNKFOmDNu3b0dRFJsCLDY2FqPRiL+//109v6+vLxqNhitXruS6L69l+dFqtTadGvNTkOuGAQQEBHDhwoXbruPv70+ZMmVYvnx5nvffvMcvLzknfU+YMIEJEybkef8zzzxjsyy/9+nWX26MRiPXrl2zWZ7z2FvXvfU98fX1RavVcvny5VyvlXNC+c05r1q1iilTptCsWTMWLlzI33//zcMPP5x7woVo0aJFpKWlsWDBApu/7N/vtXnKlClT4HnfDzc3t1wNaoA8C/a+ffvSt29fMjMz2bZtG+PGjWPw4MFUqFCBli1b3tc4ypQpg9Fo5Pr16zbF0d1se7dz8eJFdu/eTfv27dHrLb8O5OzhzszMtP4SDnnPHfLeZh09/1mzZvHEE0/w+eef2yyPj4+ndOnSd/18Odt0fp8PeTV3uVnXrl15++23WbRoEd26dSvQ6xX2++Tr60vfvn2ZOXMmn376KdOnT8fNzc1mL2zO8/71118F2qNXFJ9NL7/8Mr///juLFy9m+fLllC5dOtceRyHsTfZ8CeHAcn6ZCQgIAKBz586kpqayaNEim/Vmzpxpvf9ueHp60qxZMxYsWGBzQeSUlBSWLFly7wO/T927d+fEiRPWa4flpVevXly7dg2TyWTdY3jzV/Xq1fN9bEJCAgsXLqR169asXbs219eQIUPYuXMnhw4dsnnc3LlzbQ7jOn/+PFu2bMnzIqqzZ8+2uT1nzhyAO15w1dPTk+bNm7NgwQKbv0ybzWZmzZpFSEiI9TCwy5cv89hjj9G+fXu2bNlCnz59GDlyZIH/gn6vcn4hv/mXd0VRbA4HynHzntY76dy5M2vWrMnVtWzmzJl4eHgUWmvyChUqEBsba/1LPlg6Z65YsSLfx7i6utK+fXvGjx8PkKvL5b1o3749QK5r4f3xxx/3/dzp6ek8+eSTGI1GXn/9devynELgwIEDNuvfzfbu6PnnXAz+ZpGRkXd9WGmOFi1a4Obmlmub37JlS4EOgW3UqBHdu3fn119/zfczb9euXURHRwNF9z4NHz6cS5cuERUVxaxZs3jwwQdtitGuXbui1+s5ffp0np+5N/8B7l4/m+6097Jx48a0atWK8ePHM3v2bIYNG3ZfhzIKURRkz5cQDuLQoUMYjUbActjIggULWLVqFQ8++CAVK1YELNeCmTx5MkOHDuXcuXPUrVuXTZs28fnnn9OjR4/bniOVn08++YRu3boRERHBq6++islkYvz48Xh6enL9+vVCnWNBjR49mnnz5tG3b1/efPNNmjVrRnp6OuvXr6dXr1507NiRQYMGMXv2bHr06MHLL79Ms2bNMBgMXLhwgbVr19K3b18efPDBPJ9/9uzZZGRk8NJLL+VZDJUpU4bZs2fz66+/MnHiROvy2NhYHnzwQZ566imSkpL44IMPcHNz46233rJ5vIuLC9988w2pqak0bdqULVu28Omnn9K9e3fatGlzx/mPGzeOiIgIOnbsyNixY3FxceGHH37g0KFDzJ07F41Gg8lk4tFHH7W2jNfpdMyYMYMGDRowcOBANm3aZD1csLBFRETg4uLCo48+yuuvv05GRgZTpkwhISEh17p169ZlwYIFTJkyhcaNG992L+kHH3zA0qVL6dixI++//z5+fn7Mnj2byMhIvvzyS3x8fApl/AMHDuT9999n0KBBvPbaa2RkZPD9999jMpls1nv//fe5cOECnTt3JiQkhMTERL777jsMBoO1cLof3bp1o3Xr1rz66qskJyfTuHFjtm7dav1jilZbsL+fRkdHs23bNsxmM0lJSdaLLJ8/f55vvvmGLl26WNft0aMHfn5+jBw5ko8//hi9Xs+MGTOIiYkp8LgdPf9evXoxY8YMatSoQb169di9ezdfffXVPV/w2dfXl7Fjx/Lpp5/y5JNP0r9/f2JiYvjwww8LfPj2zJkz6datG927d2fEiBF0794dX19fLl++zJIlS5g7dy67d+8mLCysyN6nLl26EBISwvPPP8+VK1dsDjkES+H+8ccf884773DmzBnrtSivXr3Kjh078PT05KOPPrqvz6bKlSvj7u7O7NmzqVmzJl5eXpQrV856SCVY9n4NHDgQjUbD888/f09zFaJI2bHZhxCiAPLqdujj46M0aNBAmTBhgpKRkWGz/rVr15Rnn31WCQ4OVvR6vRIeHq689dZbudYDlBdeeCHX693aXUpRFOWff/5R6tWrZ22R/sUXX+TbFe1W+bWaz+t1e/bsme99t44pISFBefnll5WwsDDFYDAoZcuWVXr27GnTESw7O1v5+uuvlfr16ytubm6Kl5eXUqNGDeWZZ55RTp48me9YGjRooJQtW1bJzMzMd50WLVoo/v7+SmZmprVr2O+//6689NJLSkBAgOLq6qq0bdtW2bVrV57vx4EDB5QOHToo7u7uip+fn/Lcc8/l6vSVX0aKoigbN25UOnXqpHh6eiru7u5KixYtlCVLlljvf+eddxStVqv8+++/No/bsmWLotfrlZdfftm6LL9uh3/++afNY3N+Fnfu3GmzPOdnIS4uzrpsyZIl1ve9fPnyymuvvaYsW7ZMAZS1a9da17t+/bryyCOPKKVLl1Y0Go3NzxR5dPQ7ePCg0rt3b8XHx0dxcXFR6tevn6vzWX7jz6vzYH6ioqKUBg0aKO7u7kqlSpWUSZMm5fqZX7p0qdK9e3elfPnyiouLi1K2bFmlR48eysaNG2/7mnm9X4qSd0fB69evK8OHD1dKly6teHh4KBEREcq2bdvy7Jh5q5zXzvnS6XSKr6+v0rhxY2X06NE2rb9vtmPHDqVVq1aKp6enUr58eeWDDz5Qfvnllzy7Hea3zTpy/gkJCcrIkSOVsmXLKh4eHkqbNm2UjRs3Ku3bt7fpTHg3r2M2m5Vx48YpoaGhiouLi1KvXj1lyZIluZ7zdtLT05Xvv/9eadmypVKqVClFr9cr5cqVUx566CElMjKyWN6nt99+23pZDZPJlOc4Fy1apHTs2FEpVaqU4urqqoSHhyuPPPKIsnr1akVR7u+zSVEsnWxr1KihGAyGPH9GMjMzFVdXV6Vbt255jk8Ie9Moyn22OhJCiBJu3bp1dOzYkT///DNXp8lbDRs2jL/++ivXRYmFKKg5c+YwZMgQNm/eTKtWrew9HCFUZcmSJfTp04fIyEh69Ohh7+EIkYscdiiEEEKo1Ny5c7l48SJ169ZFq9Wybds2vvrqK9q1ayeFlxA3OXLkCOfPn+fVV1+lQYMGdO/e3d5DEiJPUnwJIYQQKuXt7c0ff/zBp59+SlpaGsHBwQwbNoxPP/3U3kMTQlWef/55Nm/eTKNGjfjtt98K3D1XiOImhx0KIYQQQgghRDGQVvNCCCGEEEIIUQyk+BJCCCGEEEKIYiDFlxBCCCGEEEIUA2m4cY/MZjOXLl3C29tbTuoUQgghhBCiBFMUhZSUFMqVK4dWm//+LSm+7tGlS5cIDQ219zCEEEIIIYQQKhETE0NISEi+90vxdY+8vb0ByxtcqlQpu44lOzublStX0qVLFwwGg13HIiQPNZJM1EcyURfJQ30kE/WRTNRFbXkkJycTGhpqrRHyI8XXPco51LBUqVKqKL48PDwoVaqUKn74SjrJQ30kE/WRTNRF8lAfyUR9JBN1UWsedzodSa7zdY+Sk5Px8fEhKSnJ7sVXzjGmcv6ZOkge6iOZqI9koi6Sh/pIJuojmaiL2vIoaG0g3Q6dhLu7u72HIG4ieaiPZKI+kom6SB7qI5moj2SiLo6YhxRfTsBoNBIVFYXRaLT3UASShxpJJuojmaiL5KE+kon6SCbq4qh5SPElhBBCCCGEEMVAii8hhBBCCCGEKAZSfAkhhBBCCCFEMZBuh/dIbd0OjUYjer1eFd1eSjrJQ30kE/WRTNRF8lAfyUR9JBN1UVse0u2whElPT7f3EMRNJA/1kUzURzJRF8lDfSQT9ZFM1MUR85DiywkYjUbWrl3rcN1enJXkoT6SifpIJuoieaiPZKI+kom6OGoeUnwJIYQQQgghRDGQ4ksIIYQQQgghioEUX05Cr9fbewjiJpKH+kgm6iOZqIvkoT6SifpIJuriiHlIt8N7pKZuh0IIIYQQQgj7kW6HJYjZbCY2Nhaz2WzvoQgkDzWSTNRHMlEXyUN9JBP1kUzUxVHzkOLLCZhMJrZu3YrJZLL3UASShxpJJuojmaiL5KE+kon6SCbq4qh5SPElhBBCCCGEEMXA8c5SEzYURWHW9miMjneNOSGEEEIIIUoUKb4c3PTN5/h46TEC3A30uZFNoI/B3kMq8TQaDd7e3mg0GnsPRfyPZKI+kom6SB7qI5moj2SiLo6ah3Q7vEdq6XYYn5rJgz9sJuZ6Og1CSzP3qRa4u+jsNh4hhBBCCCFKGul2WEL4e7kyfWgTSrnq2BeTyOh5ezGZpZ62J7PZzPnz5x2u+44zk0zURzJRF8lDfSQT9ZFM1MVR85DiywmE+7kzrEomBp2GFYev8lnkUXsPqUQzmUzs27fP4brvODPJRH0kE3WRPNRHMlEfyURdHDUPhyq+xo0bR9OmTfH29qZs2bL069eP48eP26yjKAoffvgh5cqVw93dnQ4dOnD48GGbdTIzMxk1ahT+/v54enrSp08fLly4UJxTKXSVS8FXD9cFYNrms0zbdNbOIxJCCCGEEELczKGKr/Xr1/PCCy+wbds2Vq1ahdFopEuXLqSlpVnX+fLLL5kwYQKTJk1i586dBAUFERERQUpKinWd0aNHs3DhQv744w82bdpEamoqvXr1crjK+VY96wbxRrcaAHwSeYTlh67YeURCCCGEEEKIHA5VfC1fvpxhw4ZRu3Zt6tevz/Tp04mOjmb37t2AZa/Xt99+yzvvvMNDDz1EnTp1+O2337hx4wZz5swBICkpiV9//ZVvvvmGBx54gIYNGzJr1iwOHjzI6tWr7Tm9e6bRaAgICECj0fBs+0oMaR6GosDLf+xlT3SCvYdX4tych1AHyUR9JBN1kTzURzJRH8lEXRw1D4fudnjq1CmqVq3KwYMHqVOnDmfOnKFy5crs2bOHhg0bWtfr27cvpUuX5rfffmPNmjV07tyZ69ev4+vra12nfv369OvXj48++ijP18rMzCQzM9N6Ozk5mdDQUOLj460dTbRaLTqdDpPJZHPyX85yo9HIzW+3TqdDq9Xmuzw7O9tmDHq95coARqPxtsuNJjPPzdnHuhPx+HkYmP9Mc8L9PADLD6per8dsNtvs6ctZnt/Y7T2nHAaDId+xy5xkTjInmZPMSeYkc5I5yZxkTvaYU3JyMv7+/nfsduiw1/lSFIUxY8bQpk0b6tSpA8CVK5bD7AIDA23WDQwM5Pz589Z1XFxcbAqvnHVyHp+XcePG5VmYrVy5Eg8PS2ETFhZGw4YNOXDgANHR0dZ1qlevTo0aNdixYwdxcXHW5Q0aNCA8PJwNGzbYHBbZsmVLypYty8qVK21+GDt27Ii7uztRUVE2Y+jatSvHjx/n3Llz1mW9/fXEp5Xi0MVkHp2ykVfqmPA0gLe3N506dSImJoZ9+/ZZ1w8ICKBVq1acPHnS5jw6e82pR48epKens3btWusyvV5Pz549iY+PZ+vWrdblaptT+/btuXjxIqdOnXKaOTl6TmXKlGH58uU2H76OPidHz2n9+vWkpqY61ZycMSeZk8xJ5pR7TqGhoTRq1Mip5uSMORX3nG7cuEFBOOyerxdeeIHIyEg2bdpESEgIAFu2bKF169ZcunSJ4OBg67pPPfUUMTExLF++nDlz5jB8+HCbvVgAERERVK5cmalTp+b5emre86UoCsuWLSMiIgKD4b+LLCekm+j3w2YuJWbQOKw0vw1rjJuLXtV/NbjTckf4S0h+eTjynBw9J5PJRFRUlE0mjj4nR88pPT2dlStXWjNxhjk5ck755eHIc3L0nDIzM1m1ahURERG4uro6xZwcPafs7GxWrVpF165dcXNzc4o53Tp2R5pTTh5dunTB3d3d7nNy6j1fo0aN4p9//mHDhg3WwgsgKCgIsOzdurn4io2Nte4NCwoKIisri4SEBJu9X7GxsbRq1Srf13R1dcXV1TXXcoPBYPMLNlhC0ulyX+g4J6SCLr/1efNbnvPDcOtYyhoMzBjejIenbGF3dCJvLDzC/z1qORxTq9Wi1eY+5S+/sRf3nG63PL+xq2VO+eWR3/q3G7ta5nQvy9U0p5wP77wycdQ55TfGu11u7zndmokzzKkgY7zb5cU1p1vzcIY5FXS52uaU8/w5xfDtxu4oc3KWnHL+7UxzutNyNc8pZwz2nlN+99/KoRpuKIrCiy++yIIFC1izZg0VK1a0ub9ixYoEBQWxatUq67KsrCzWr19vLawaN26MwWCwWefy5cscOnTotsWXo6oW6M2PjzfGoNMQefAy45bJNcCEEEIIIYSwB4fa8/XCCy8wZ84cFi9ejLe3t/UcLR8fH9zd3dFoNIwePZrPP/+cqlWrUrVqVT7//HM8PDwYPHiwdd2RI0fy6quvUqZMGfz8/Bg7dix169blgQcesOf07plWqyUsLCzPvw4AtKrsz5eP1OOVefv5eeNZ/L1ceaZ95WIeZclxpzxE8ZNM1EcyURfJQ30kE/WRTNTFUfNwqHO+8mslOX36dIYNGwZY9o599NFH/PjjjyQkJNC8eXMmT55sbcoBkJGRwWuvvcacOXNIT0+nc+fO/PDDD4SGhhZ4LMnJyfj4+NzxuE41mbr+NF8sOwbAl4/UY0CTgs9XCCGEEEIIkbeC1gYOVXypiZqKL5PJxNItS+nVqleex7TebFzUUX7ccAatBqY81piutYOKaZQlh8lk4sCBA9SrV++OeYjiIZmoj2SiLpKH+kgm6iOZqIva8ihobeBY++lEnmYdmMVDax7iu23f3XHdN7vXoH/jEMwKjJq7l62nrxXDCEsWs9lMdHS0TWcdYV+SifpIJuoieaiPZKI+kom6OGoeUnw5gb1X9mLGzKurX+Wt1W9xu52ZGo2GcQ/VJaJWIFlGM0/N3MWhi0nFOFohhBBCCCFKJim+nMCXnb9kSPAQAL7Y/AUj/hlBtik73/X1Oi3/92hDmlf0IzXTyNBpOzgbn1ZcwxVCCCGEEKJEkuLLCeh0Ot5t9y4/9fwJrUbLjH0zeHDeg9zIzv9K224GHT8PbULtcqW4lpbF479u52pyRjGO2nlptVqqV6/ucN13nJlkoj6SibpIHuojmaiPZKIujpqHNNy4R2pquHGzf47/w8C/BpJhzKBlSEuWPLqEMh5l8l0/PjWT/lO3cjY+jeqB3sx7pgWlPVyKccRCCCGEEEI4Nmm4UYIYjUa2bNmC0WikT/U+rH58Nb5uvmy9sJW209sSkxST72P9vVyZOaIZgaVcOX41hREzdnIjy1iMo3c+N+ch1EEyUR/JRF0kD/WRTNRHMlEXR81Dii8noCgKcXFx1kYbrcNas3H4RkJKhXA0/igtf23J4djD+T4+1M+DmSOa4+NuYE90Is/N2kOW0bE6x6jJrXkI+5NM1EcyURfJQ30kE/WRTNTFUfOQ4stJ1S5bmy0jtlDTvyYXUy7SZnobNkdvznf96kHeTBvWFHeDjvUn4nj1z/2YzI71wyyEEEIIIYSaSfHlxEJ9Qtk0YhMtQ1qSmJHIA78/QHRSdL7rNw73ZcpjjdBrNSzZf4k3/z6AWQowIYQQQgghCoUUX05Ap9PRoEGDPK/u7efux+onVtOrWi/ebP0mYT5ht32uDtXL8n+PNkSn1fDn7gu8t/iQw+3Otbfb5SHsQzJRH8lEXSQP9ZFM1EcyURdHzUO6Hd4jtXY7zI/RbESn0aHRaABIzkzGy8ULrSbv+nvxvouMnrcPRYHhrSvwfq9a1scKIYQQQggh/iPdDksQo9HImjVrbtvtRa/VW4unG9k3iPg9gscWPEamMTPP9fs2KM/4h+sBMH3zOcYvPy57wAqoIHmI4iWZqI9koi6Sh/pIJuojmaiLo+YhxZcTUBSFlJSUAhdHW2O2sufyHlacXsHFlIv5rjegSSif9qsDwNT1p/nu35OFMl5nd7d5iKInmaiPZKIukof6SCbqI5moi6Pmobf3AETx61ypM1GDo3A3uFPJt9Jt132sRTiZRjOfLD3Ct6tP4qLX8nyHKsU0UiGEEEIIIZyHFF8lVETlCJvba86uwdfNl4bBDXOtO7JNRbKMZsYvP8aXy4/jotPyZNvbF21CCCGEEEIIW9Jw4x6pqeGG2WwmPj4ef39/tNq7P5L0UOwhWv3aCgWFv/r/RdcqXfNc77vVJ5m4+gQAn/StzeMtK9zPsJ3W/eYhCp9koj6SibpIHuojmaiPZKIuastDGm6UIFqtlrJly97zD15IqRCalGtCalYqPef0ZPre6Xmu91LnKjzfoTIA7y0+zPydMfc8Zmd2v3mIwieZqI9koi6Sh/pIJuojmahLpikTb19vh8vDsUYr8pSdnU1kZCTZ2dn39PjSbqVZ/thyhtQdgkkxMeKfEXy47sNcJzBqNBpe61qdkW0qAvDGggMs3HvhvsfvbO43D1H4JBP1kUzURfJQH8lEfSQTddGjJ2pZlMPlIcWXk7jfNpsuOhd+f/B33m7zNgAfrf+Ixxc+nqsVvUaj4d2eNXmsRRiKAq/O38+CPVKA3crR2p6WBJKJ+kgm6iJ5qI9koj6SiX1FnYxi+anl1tt6xfHaV0jxJaw0Gg2fdf6Mn3v/jE6jY/bB2Tzw+wPE34jPtd7HferwaLNQzAq8+ud+OQRRCCGEEEIUmUk7JtF7bm/6/9mf4/HH7T2ceybFl8jlyUZPsvyx5fi4+rApehMtfmmR64dcq9XwWb+6PN4iHEWB1/8+wJzt0XYasRBCCCGEcEYms4nRy0czatkozIqZgbUH3vFSSWom3Q7vkZq6HeZcZM7b2xuNRlNoz3sk7gg95/TkXOI5SruVZsGABXSs2DHXa3+89AjTN58D4OO+tXmihHdBLKo8xL2TTNRHMlEXyUN9JBP1kUyKX2pWKoP/HsySE0sAGNd5HG+0fgONRqO6PKTbYQnj7u5e6M9ZK6AW25/cTouQFiRmJNJlVpdcnRA1Gg3v96rF0+0sf4F4f/Fhftl4ptDH4miKIg9xfyQT9ZFM1EXyUB/JRH0kk+JzKeUS7aa3Y8mJJbjqXJn3yDzebPOmTaHliHlI8eUEjEYjUVFRRXISaFnPsqx5Yg0Daw/EaDay4+KOXOtoNBre6l6DFzpa2tB/GnmUqetPF/pYHEVR5iHujWSiPpKJukge6iOZqI9kUnz2X9lP81+as/fKXgI8Alg7dC0Dag+wWcdR83C8FiGi2Lkb3Jnz8By6VenGY/Uey3MdjUbD2C7V0Wu1fPfvSb5YdgyjycyLnaoW82iFEEIIIYSjijoZxcC/BpKalUoN/xpEDo506HO8biV7vkSBaDVahjUYhl5rqdezTdm8tvI1rqZeta6j0Wh4JaIaY7tUA+DrlSeYuOpEruuFCSGEEEIIcTNFUZi4dSK95/YmNSuVThU7sWXEFqcqvECKL3GP3vr3Lb7e+jWdZ3bGZDbZ3Pdip6q82b0GAN/9e5KvVx6XAkwIIYQQQuTJrJh5aslTjFk5BrNiZmTDkSwbsgxfd197D63QSbfDe6S2bodGoxG9Xl9s3V5OXDtBn7l9GP/AePrW6JvnOr9sPMOnkUcBeLpdJd7qXkMV3WiKmj3yELcnmaiPZKIukof6SCbqI5kUrRejXmTKril80+UbXm7+8h3fY7XlId0OSxKzGePUqXDjRrG9ZLUy1Tjw3AGbwis6KdpmD9eTbSvxUZ/aAPy04QxvLzyEyVwyav309HR7D0HcQjJRH8lEXSQP9ZFM1EcyKTrfdvuWjcM3MrrF6AIXU46YhxRfTsA0dy7uL70E1arBzz9DMXV9cdG5WP99PvE8TX5qwmMLHyM9+78NYWirCox/uC5aDczdEc1Lc/eSZTQXy/jsxWg0snbtWofrvuPMJBP1kUzURfJQH8lEfSSTwhV5IpIH5z1ItikbAL1WT6vQVgV+vKPmIcWXM/Dw4EZAAJpLl+Dpp6F2bfjrLyjGI0p3XNzB9fTrzDk4hw6/deByymXrfQObhjFpcCMMOg2RBy/z5Mxd3MhyrA1FCCGEEEIUjoT0BAYvGMyiY4uYvHOyvYdTrKT4cgJK7978+8MPmL75Bvz94cQJ6N8fmjeHNWuKZQz9a/dn5eMr8XXzZcfFHTT9uSm7L+223t+jbjC/Dm2Ku0HHhhNxPP7rDpJuZBfL2IQQQgghhHr4uvvy+4O/80zjZ3i+6fP2Hk6xkuLLSWjd3TGPGgWnT8P774OnJ+zcCW+8UWx7wDpV7MSOp3ZQ078mF1Mu0nZ6W+Yfnm+9v121AGY92ZxSbnp2n09g4E9biU3JKJaxFTe9Xi6hpzaSifpIJuoieaiPZKI+ksm9i0uLY8/lPdbbfar3YWqvqTansdwtR8xDuh3eIzV1O8xTbCx8+in06wedOlmWpaTA1atQpUqRvnRSRhKDFwwm6mQUAO+1e48PO3yIVmOp9Y9eTubxX3cQn5pJhTIe/D6yOaF+HkU6JiGEEEIIYR/7r+yn37x+pGWlseOpHVQoXcHeQyp00u2wBDGbzcTGxmI239TIomxZ+P77/wovgAkToGZNeO45uHw59xMVEh83H/4Z9A+vtnwVgE82fEL/P/uTmpUKQM3gUvz1bEtCfN05d+0Gj0zdwsmrKUU2nuKWZx7CriQT9ZFM1EXyUB/JRH0kk3sz79A8Wv7aknOJ5yjlWooMY+Ec9eSoeUjx5QRMJhNbt27FZDLdfsWjRy2dEKdOtez9eucdSEoqkjHptDq+7vI10/pMw6A1sODoAlr+2pLT108DUMHfk7+ebUXVsl5cTc6k/49b2ReTWCRjKW4FzkMUG8lEfSQTdZE81EcyUR/J5O6YzCbeWv0Wg/4eRLoxna6Vu7LzqZ3U8K9ROM/voHlI8VWS/PEHrFsHLVpYrgn2+edQqRJ88w1kFM25V8MbDmfdsHUEeQVxKPYQTX5uwopTKwAI8nFj/jMtqR9amsQb2Qz5eRtbTsUXyTiEEEIIIUTxSMxIpPfc3nyx+QsAXm/1OpGDI/F197XzyOxPiq+Spn172LIFFi60HIJ4/TqMHWv5KiKtQlux++ndtAhpQWJGIrMPzrbe5+vpwuwnm9OqchnSskwMm76TJfsvFdlYhBBCCCFE0TkSd4RmPzdj2alluOvdmfPQHMZHjEen1dl7aKogxZcT0Gg0eHt7F/hq4Gg0lkYcBw/CtGlQuTKMGfPf/amphd4hsZx3OdYNXccnHT9haq+pNvd5ueqZNqwp3WoHkWUyM2ruXn7ZeKZQX7843XUeoshJJuojmaiL5KE+kon6SCZ3tvjYYlr80oKT108S5hPG5hGbebTuo0XyWo6ah3Q7vEeq73Z4N8xm0N5Uhw8eDGfPwhdfWPaUFdXLKmbeXP0mzzZ5lkq+lTCZFT5ZeoQZW84BMLx1Bd7tWQud1rE2KiGEEEKIksSsmPlk/Sd8uP5DADpU6MD8R+YT4Blg34EVI+l2WIKYzWbOnz9/791ebi684uJgyRLYtg06dIDu3WHfvsIYZi7fbPmGr7Z8RZtpbbiRfQOdVsMHvWvxdg/LiZjTN5/jxTl7yMh2rBMp7zsPUegkE/WRTNRF8lAfyUR9JJO8ZRgzeHj+w9bCa1SzUax8bGWRF16OmocUX07AZDKxb9++wun2EhAAJ05Y2tHr9bB8OTRsCEOGwJnCPRTw0bqP0qx8Mz7r9BkeBst1vjQaDU+3q8x3gxpg0GlYdugKj/+6ncQbWYX62kWpUPMQhUIyUR/JRF0kD/WRTNRHMsmbq84Vd707LjoXpvWZxvfdv8egMxT56zpqHlJ8idyCg+GHHyyt6QcNsiybMwdq1IBlywrtZUJKhbB5xGaGNxxuXXY8/jhpWWn0bVCe30Y0w9tNz85zCTw8ZQsx128U2msLIYQQQoh7ZzJbih6NRsMvfX5h68itNr/TibxJ8SXyV6UKzJ0Lu3dDly7g6wtt2xbqS+i1euu/r924RpdZXWjxawtOXDtBq8r+/PVsK4J93Dgdl8ZDU7Zw6GLRXJdMCCGEEELcmdFs5I1Vb9D/z/7ktI7wMHjQKLiRnUfmGKT4cgIajYaAgICi6/bSqBGsWAH794OXl2WZ2Ww5H+zbbyEzs1BeJjopmixTluV6YD81YeHRhVQP8mbB862oEeRNXEomA3/cyoYTcYXyekWlyPMQd00yUR/JRF0kD/WRTNRHMrE4Hn+cb7d/y8JjC1l7bq3dxuGoeUi3w3vkVN0O78XixZZ29QDh4fDxx5bzwnT3dw2HyymXGfDXADZFbwIsF+X7rPNn3MhSePb33Ww5fQ29VsO4h+rSv0nofU5CCCGEEELcrRn7ZuBp8KR/7f72HopqSLfDEsRkMnHs2LHiPeGwZ0/46ScoXx7On4ehQ6FBA0unxPuo54O9g1nzxBpeafEKAF9u+ZIuv3ch3XidGcOb0a9BOYxmhdf+OsDXK45jNqvvbwd2yUPclmSiPpKJukge6iOZqE9JzURRFKbsnMKey3usy4Y1GGb3wstR85DiywmYzWaOHz9evK029Xp46ik4eRLGj4fSpeHQIejTx3JeWHz8PT+1QWdgQtcJzHtkHp4GT9aeW0ujnxqx6/I2JgxowPMdKgMwae0pXpy7h/QsdW10dslD3JZkoj6SibpIHuojmahPSczkRvYNhi0exvNRz/Pw/IdJylDPufeOmocUX+L+uLvD669b2tC/8Qa4uUF6Ovj53fdTD6g9gJ1P7aSGfw0upVyi/Yz2TN45ide6Vufr/vUx6DREHbzCwJ+2cjU5oxAmI4QQQgghAE5fP02rX1sxc/9MtBotLzR9gVKuJfBUm0ImxZcoHL6+8MUXcOoUzJjx34WbU1PhxRcthybeg5oBNdnx5A761+qP0WzkpeUvMWTBELrVLc3sJ1vg62HgwIUk+k7aLJ0QhRBCCCEKweJji2nycxP2X91PgEcAqx9fzdhWYx2uuYUaSfHlBLRaLWFhYWi1KoizfHmoW/e/2xMnwuTJUK0ajB4NcXffqdDb1Zt5j8xjYteJ6LV65h6aS/NfmlOhrJFFL7SmSlkvriRn0H/qVpYfulx4c7lHqspDAJKJGkkm6iJ5qI9koj4lIZNsUzavrniVfvP6kZiRSIuQFux5Zg8dK3a099BycdQ8pNvhPSrx3Q4LatcuePNN+Pdfy21vbxg7FsaM+a9t/V3YFL2JAX8OoH5QfSIHR6LVaEnOyOaF2XvYeNJyntnr3arzXPvK8tcZIYQQQogCik6KZuBfA9l2YRsAY1qMYdwD43DRudh5ZI5Buh2WICaTib1796qz20uTJrB6NaxcableWEoKfPABVK4MP/xw10/XJqwNe5/Zy+8P/o5WY/nx1euymTykNkNbhgPw5fLjvPrnfjKN9nk/VJ1HCSWZqI9koi6Sh/pIJurjzJlEnoik4Y8N2XZhGz6uPiwcuJBvun6j6sLLUfOQ4ssJmM1moqOj1d3tJSICdu6EefOgShWIjYWNG+/pqQK9AvH38LfeHhU1itbTW/Joaz0f962NTqthwZ6LPPbLdq6lFs4FoO+GQ+RRwkgm6iOZqIvkoT6Sifo4YyZGs5E3V79Jr7m9uJ5+nSblmrD3mb30q9HP3kO7I0fNQ4ovUXy0WhgwAI4cgSlT4JNP/rvv3DlYtuyurxF2NfUqkScjORJ3hMspl3miZQWmDWuKt6uenecS6PfDZo5dSS7ceQghhBBCOIHf9v3G+M3jAXix6YtsGr6Jir4V7Twq5ybFlyh+BgM8+6xlD1iOd9+FHj2gQwfYtq3ATxXoFci+Z/fx+4O/W08GbV8tgL+fa0mYnwcx19N5cPIWIg/YvxGHEEIIIYSaDGswjIdqPsT8R+bzfz3+D1e9q72H5PSk+HICWq2W6tWrO1y3FytFgXLlwNUVNmyAli3hwQfh6NECPTzIK4jBdQdbb5+4doLhUd35alAZWlcpQ3q2iRfm7GH88mOYzEXfX8bh83BCkon6SCbqInmoj2SiPs6QidFsZNKOSWQYLddH1Wl1/D3gb/rX7m/nkd09R81Duh3eI+l2WARiYuDDDy3XCTObLYcpDhtmWRYaWuCn6TqrKytPr8TT4MkPPaZw4VITftpwBoB21QL4flADSnuo9wRSIYQQQoii0P/P/vx15C+ebvQ0P/b+0d7DcSrS7bAEMRqNbNmyBaPRaO+h3J/QUPj1Vzh4EPr1sxRg06ZZvu7CjL4z6FihI2nZaQxd/ASnsr/ii0eq4mbQsuFEHH0mFe15YE6ThxORTNRHMlEXyUN9JBP1cYZMnmr0FD6uPrSv0N7eQ7lvjpqHFF9OQFEU4uLicJqdmLVqwcKFsHWr5fDDMWP+u+/0aUhLu+3Dg72DWfX4Kj5o/wFajZbp+6bzwbbefNLfgxBfd6Kv3+ChH7YQdbBozgNzujycgGSiPpKJukge6iOZqI8jZpKenc6Oizust7tU7sK50edsTtdwVI6YBzhg8bVhwwZ69+5NuXLl0Gg0LFq0yOb+YcOGodFobL5atGhhs05mZiajRo3C398fT09P+vTpw4ULF4pxFqJAWrSABQssF2YGy7lhjz5qadQxZQpkZ+f7UJ1Wx4cdPmTNE2sIKRXCiWsnGLI4gu4tdtOqsi83skw8P3sPXxbTeWBCCCGEEMXpSNwRmv/SnAdmPsCZhDPW5aXdSttvUMLxiq+0tDTq16/PpEmT8l2nW7duXL582foVFRVlc//o0aNZuHAhf/zxB5s2bSI1NZVevXo53EXaSpyLF+HaNbhyBZ5/3rKHbN48y+GJ+WhfoT37ntlHvxr9yDZn8+6610lw/4RHW1iOxf1h3WlGzNhJ0o38CzkhhBBCCEehKAq/7PmFJj814WDsQdwN7lxKuWTvYYn/ceiGGxqNhoULF9KvXz/rsmHDhpGYmJhrj1iOpKQkAgIC+P333xk4cCAAly5dIjQ0lKioKLp27Vqg11ZTww2z2UxMTAyhoaEO1/HlrmVlwU8/Wa4RFhtrWdaoEXzxheVCzvlQFIWpu6YyZuUYMowZBHoG8ly9iczdWJqMbDPhZTyYMqQxtcrdf5YlKg8HIZmoj2SiLpKH+kgm6uMImSRlJPH00qeZf3g+ABGVIpj54EyCvILsPLLCp7Y8ClobOGXxtWjRIlxcXChdujTt27fns88+o2zZsgCsWbOGzp07c/36dXx9fa2Pq1+/Pv369eOjjz7K87UyMzPJzMy03k5OTiY0NJT4+HjrG6zVatHpdJhMJpurbecsNxqNNsel6nQ6tFptvsuzbzmsTq/XA+Q6sTC/5QaDAbPZbLNHT6PRoNfr812e39hVN6ekJLTffYd2wgQ0KSkAmJcvx9Sp023ndCj2EI8vfpzDcYcBGFZnFMdP9OFSUiauei2f9K3DQw2DJSeZk8xJ5iRzkjnJnGRODjWnLdFbeHzR45xLOodeq+ezTp8xpsUYlJtOr3C0OTlSTsnJyfj7+9+x+NLne4+D6t69O/379yc8PJyzZ8/y3nvv0alTJ3bv3o2rqytXrlzBxcXFpvACCAwM5MqVK/k+77hx4/IszFauXImHhwcAYWFhNGzYkAMHDhAdHW1dp3r16tSoUYMdO3YQFxdnXd6gQQPCw8PZsGEDKf8rIABatmxJ2bJlWblypc0PY8eOHXF3d891GGWXLl3YtGkTN27csC7T6/X07NmT+Ph4tm7dal3u7e1Np06diImJYd++fdblAQEBtGrVipMnT3L8+HHrcnvNqUePHqSnp7N27dr859SwIS6TJlH7n38Iu3iRmGrV2Pe/59FlZuIXEpLnnH5u9jO/X/2dKbumEHflDC9WTWPWKS1HEuH1vw+wdMcxegffwEV3b3Nq164de/bsITU19e7n5Iw5qWBOfn5+ucbu6HNy9JzWr19vs404w5wcOaft27cTHx/vVHNyxpxkTuqYU2hoKI0aNVLNnLp278q7y9/lq51fYcZMoEsg79V8jxdav8D58+edPid/f39at25t9znd/Hv47Tjdnq9bXb58mfDwcP744w8eeugh5syZw/Dhw232YgFERERQuXJlpk6dmufzqHnPl6IoLFu2jIiICAwGg3W5I/7V4E7L852TRoNZo7EsT0tDX6cOSrduaD/6CFNQUJ5jjzwRSbvQdrjp3TCbFb5fd4gf1l1CUTRUD/Ti/wbVp6K/513PKb88nOmvO442J5PJRFRUlE0mjj4nR88pPT2dlStXWjNxhjk5ck755eHIc3L0nDIzM1m1ahURERG4uro6xZwcPafs7GxWrVpF165dcXNzU8WcziScYcTSEWyJ2QLAgFoDmNxtMqXdSzt9Tjl5dOnSBXd3d7vPqcTu+bpVcHAw4eHhnDx5EoCgoCCysrJISEiw2fsVGxtLq1at8n0eV1dXXF1dcy03GAw2v2CDJSSdTpdr3ZyQCrr81ufNb3nOD0NeY9FqtXkeB5vf8vzGXtxzut3yfOf0v/tYvhwuXkTz668weza6l19G98YbcMvezp7Velr/bTKbWHzxJcKqlibp4nCOX4UHp2xj/CP16FWv3F3N6XZ53PWcnDEnO8wp58M7r0wcdU75jfFul9t7Trdm4gxzKsgY73Z5cc3p1jycYU4FXa62OeU8f04xfLuxO8qcnCWnnH/bc06KovDb/t8YtWwUqVmplHItxQ89fmBw3cFoNJq7ntOdlqs5p5wx2HtO+d1/K/ufnVbErl27RkxMDMHBwQA0btwYg8HAqlWrrOtcvnyZQ4cO3bb4Eg5k0CDYuBFat4aMDBg/HipVsnzPZ5fwjos72HFxB3uvbuDnYbVpXtGPtCwTL87Zy4f/HCbLmH9HRSGEEEKI4rT94naGLx5OalYqbcPacuDZAwypN8Sm8BLq5HCHHaampnLq1CkAGjZsyIQJE+jYsSN+fn74+fnx4Ycf8vDDDxMcHMy5c+d4++23iY6O5ujRo3j/73pRzz33HEuXLmXGjBn4+fkxduxYrl27xu7du/OsjPOitm6H8fHx+Pv75/kXghJLUSAyEt56Cw4dsiwLCbH828cn1+p7L+/lfNJ5+tXoh9FkZsKqE0xedwINOuqHlmby4IaE+Hrc8WUlD/WRTNRHMlEXyUN9JBP1UVsmL0S+QKhPKK+1eg2dtmC/vzoTteXhtN0O161bR8eOHXMtHzp0KFOmTKFfv37s3buXxMREgoOD6dixI5988gmhoaHWdTMyMnjttdeYM2cO6enpdO7cmR9++MFmnTtRU/El7sBkgtmz4f33oXlzy7XBCmD1mdU8ufgFDMkvkZ1eAR93AxMH1qdTjcAiHrAQQgghxH8yjBl8vP5jXmz2IuW8y9l7OCIPTlt8qYWaiq/s7GxWrlxJly5dCny8aYmUmQkpKeDvb7l97hw8/jh89BHc1KIeLE0zmv/SnJ2XdqLX6qnqNpK0az3QoOPpdpUY26U6Lvq8/8oieaiPZKI+kom6SB7qI5mojz0zeWzBY8w+OJuulbuybMgyObwQ9W0jBa0N7L+PThSKW7vEiDy4uv5XeAF8+ils2gSdO0PXrrBnj/UujUbDsiHLeLjmwxjNRo7e+BH8PyJbc4WfNpzh4SlbOBuflu9LSR7qI5moj2SiLpKH+kgm6mOvTN5p+w4VSldgVLNRUnjdxBG3ESm+RMn12WcwahQYDLByJTRubGnW8b/OmGU8yvBn/z+Z0XcG3i7eRKftIdFrNCb3fzlwMZFe329kwZ4Ldp6EEEIIIZzNyWsn+Xn3z9bbNQNqcnLUSZtOzcIxSfElSq7AQPj+ezh2DIYMAY3Gcj5YrVrw2muAZQ/Y0AZD2f/sftqEteGGMZULTCTL53OSsq4yZv5+Rv+xl5SM7Du8mBBCCCHE7ZkVM/+3/f+oP7U+z0Y+y7YL26z36bVOf4WoEkHO+bpHajrnS1EUUlJS8Pb2ll3R92P/fnj7bYiKgvfeg48/trnbZDYxcdtE3l3zLpmmTNx1pfDKeAp3YwfC/Tz5/tGGNAgtLXmokGSiPpKJukge6iOZqE9RZ3I+8TzDFw9n7bm1AHSu2JlpfacR5hNW6K/lDNS2jUjDjSKmtuLLaDSi1+tV8cPn8DZsgAYNICfXjRthxw544QVwc+No3FGGLhrKzks7AfDTtsIj7TlctX6M7Vqdp9pUxGw2SR4qItuI+kgm6iJ5qI9koj5FlYmiKEzbO41XVrxCSlYKHgYPvor4imebPItWIwep5Udt24g03ChBjEYjUVFRDnnSoSq1a/df4aUoMHas5atqVZg2jZq+VdkycgufdfoMg9bAdfMWEr1fI9ucxRfLjvH4tO3MXSR5qIlsI+ojmaiL5KE+kon6FEUml1Iu0WtuL55c8iQpWSm0Dm3N/mf383zT56XwugNH3UYkVSFuR1Hg2WchNBQuXICRI6FePfSLl/B2m7fY9fQuGgQ14PMH3ubLhxvhZtCy5fR1xu/X8e/RWHuPXgghhBAqpCgKcw7Ooc4PdYg6GYWLzoWvIr5i/bD1VPGrYu/hiSIkZ+4JcTtaLQwfDo8+CpMnw+efw9Gj8NBD0KIF9SZMYMeTO9BpdWg1WhqH+zJk5m+cvX6ZZ+doGHjiGu/1roWXq2xqQgghhLDs7Xou8jn+Of4PAI2DG/Nbv9+oXba2nUcmioPs+RKiINzc4NVX4cwZeOcd8PCAbdvg7FkMOoP10ICg0hpi9d8Q5/o5qfqVzNsVQ/fvNrDz3HU7T0AIIYQQ9rbk+BJqTa7FP8f/waA18FGHj9g6cqsUXiWINNy4R9Jwo4S7fBl++cVSiGn/9zeMNWvIDA3mw/MzmXd4Hj91+ZcPFp/lYmI6Gg083a4SYyKq4arX2XfsJZBsI+ojmaiL5KE+kon6FEYm+6/sp8nPTWgQ1IBpfaZRN7BuIY+y5FDbNiINN0qY9PR0ew+hZAkOtrSjzym80tLgscdwrV2fzxelsK3rP3SuUYHlo9vySKPyJOhmMXnDdvpO2syxK8n2HXsJJduI+kgm6iJ5qI9koj53m4lZMbP9wnbr7fpB9Vk7dC1bR26VwqsQOOI2IsWXEzAajaxdu9bhur04lYQEqFsXsrPRTJ6MX8OmmN99F++sdGpW2U2S4Q8uu73Azrh59P6/jfy4/jQms+x0Li6yjaiPZKIukof6SCbqc7eZpGWl0WFGB1pPa83ey3uty9uEtZELJhcCR91GpPgSojCEhMCKFfDvv5ibNkWfkYHu88+hcmVarT1Fy/ItMHOD6y4/EKN7k4+X/8ujP20j5voNe49cCCGEEEXA08WTQK9A3A3unLp+yt7DESohxZcQhalTJ0ybNrHj9ddRqlWD+Hhqjv2CjfW/5btu3+Fh8CBTd4jLrqNYdeEnun67ljnbo5FTL4UQQgjHt+/KPq6kXrHentxjMoeeO0T/2v3tOCqhJlJ8OQm9XnZfq4ZGQ1y7dhj37YOff4ZRo9A1bc5LzV/i8POHiQhshaLJItEwg9Oa0YxdtJjHft0ue8GKmGwj6iOZqIvkoT6Sifrkl0laVhqvrXyNJj814eXlL1uXl/UsS3jp8OIaXonjiNuIdDu8R2rqdigcyPnzKNWq8lufcF5pcIVEYyooWkoZ+xKsfZy3uzfksebhaLX279ojhBBCiDtbdnIZz0U+x/mk8wD0r9WfWQ/NwkXnYueRieIk3Q5LELPZTGxsLGaz2d5DEdwhj5070Wh1DPvrFEe+SGXA9WDQmEk2LOSU5hnGLpnGoz9v41x8WvEP3InJNqI+kom6SB7qI5moz62ZXEm9wqC/BtFjTg/OJ50nzCeMJY8uYX7/+VJ4FQNH3Uak+HICJpOJrVu3YjKZ7D0UwR3yeOQROHUKnn6a4HQd876/TNRsqJDthUkbR5zrJ6yOnkW37zbw66az0hGxkMg2oj6SibpIHuojmahPTibZxmx+3PUjNSbVYN7heWg1Wsa0GMPh5w/Tq1ovew+zxHDUbUSKLyGKW/ny8OOPcPgwPPII3U/C4S9TeWOXG0EewXQM60tGtplPlh5hwI9bOR2Xau8RCyGEEAKITo+m4+8deTbyWZIyk2gc3JidT+3km67f4OXiZe/hCQcgxZcQ9lK9Ovz5J+zYgUfbTnzRYCynR5/iz6cj+OzBOvhpjay69CUdv5vG1PWnMZoca7e6EEII4SzSs9N5f937jDkxhq0XtuJp8OTbrt+y/cntNApuZO/hCQfieC1CRC4ajQZvb280GmnSoAZ3nUfTprB6NZhMePyva8+QjHOw/gke65JMqrKCz5YFsvTAJb54qB51yvsU3eCdlGwj6iOZqIvkoT6SiXrE34in2c/NOJt4FoDeVXszuedkQn1C7Tyyks1RtxHpdniPpNuhKFKDB3NlyVzGdIWqGT5kujzDvKpt0Gi1DG9VgTFdquPpKn87EUIIIYpDn7l92HtlL991+44HazzocL/wi6In3Q5LELPZzPnz5x2u24uzKpQ8fvuNoK+mMGdzEB9GJvHFwi/Z+Mer1Lj0N5/tfJTW3/zGmmNXC2/QTk62EfWRTNRF8lAfycR+MowZfL7xc2LTYq3Lfu79M4efO0xjj8bIfgt1cNRtRIovJ2Aymdi3b5/DdXtxVoWSh8EAzz4Lp06h+fxzKFWKkOiTJBqmk6k7yP6sp+k3+xmenLme2OSMwhu8k5JtRH0kE3WRPNRHMrGfxxY8xjtr3uGN1W9YlwV6BeKuc5dMVMRRtxEpvoRQM09PeOstOHMGxo5l7j8u9HVvBBozKfrFTD/Tj8YT3mfWtnOYpS29EEIIcd/GthpLSKkQulfpbu+hCCckxZcQjqBMGfjqK8L3nGbRqztYPmQ54aUqY9YkckHzFc8v6UrXyb9z4mqKvUcqhBBCOIwMYwafbfiMLzZ9YV3WIqQFp186zYDaA+w4MuGspPhyAhqNhoCAADn5UyWKNI+QENDp6FqlK8ef2ctnO7zxyIIUlxOsiR9G2+8G8NHSHdzIMhb+azsw2UbURzJRF8lDfSSToqUoCguPLqT2D7V5d+27fLjuQ6KToq33u+hccj1GMlEXR81Duh3eI+l2KFRh2zaiPxjNqz7b+au2ZZFnlivlXUYy4cE36VE3xOE+lIQQQoiidPDqQUavGM2as2sACPYK5quIrxhcd7D8nynumXQ7LEFMJhPHjh1zuBMOnVWx5tGiBWHLt/Ln8ChWbKpEjThIc8nkBD/w+Jwm9PpxJmfj04p+HCon24j6SCbqInmoj2RS+OJvxPN85PM0+LEBa86uwVXnyjtt3+HEqBMMqTfkjoWXZKIujpqHFF9OwGw2c/z4cYdrtemsij0PjQa6d6fLipMcaPkb323zwzcdEt2use98Jl0nbuDrFcdJz3KsD6fCJNuI+kgm6iJ5qI9kUniyTdl8t+07qv5fVabsmoJZMfNwzYc5+sJRPu30KV4uXgV6HslEXRw1Dym+hHAWWi2GIU/w0uLLnGo5l6k9ZhFRrQFZJjPJX0/kkTFD+XvPcbk+iRBCiBJjxakV1Jtaj9ErRpOYkUi9wHqsHbqWvwb8RUXfivYeniiB9PYegBCikLm44Nd3EE8DTzVV2PDvblxn/8qnrY1snT+PHQsn8uzLw6no72nvkQohhBBF4nr6dYYuGsrSE0sB8Pfw57NOnzGy4Uh0Wp2dRydKMtnz5QS0Wi1hYWFotRKnGqgpD41GQ/uGFcns349q16D7SSPjPx3Fsbbd+OWXZaRmloyuiGrKRFhIJuoieaiPZHJ/fFx9OJtwFr1WzystXuHkqJM83fjp+yq8JBN1cdQ8pNvhPZJuh8LRZJ89xZV33qb8H3+hVRRO+moYMjCAx7r8Hy/27Y9WKx2ehBBCOKYb2Tf4cdePPNf0Odz0bgDsuLiDUq6lqOFfw86jEyWBdDssQUwmE3v37nW4bi/OSq15GCpWIXTOfDT79xPXoQsfd1DYGRTLy/sHUeHLXkQePmjvIRYZtWZSkkkm6iJ5qI9kcnc6z+zMmJVj+H7799Zlzco3K9TCSzJRF0fNQ4ovJ2A2m4mOjna4bi/OSu15aOrWJWDtCt56ajYdjHVAoxCTGUXvP5vQ882OHDt31t5DLHRqz6QkkkzURfJQH8nkzm4+eOvZxs8S7hNOFb8qRfZ6kom6OGoeUnwJUULV6j6YtZ8cZNmjGwjxaIiiySLKfR2tp1bm+Td6kpiSbO8hCiGEELnsv7KfrrO6MmPfDOuyx+o9xrEXj/FQzYfsNzAhCkCKLyFKuG7V2hI9djc/Bb1B1es6rrsrTPGIov4Hfnw+7inMDrY7XwghhHM6m3CWJxY+QcMfG7Ly9Eo+2fAJJrPl/yidVmc910sINZPiywlotVqqV6/ucN1enJUj5qHRaHjqmS84PC6RDzL7UDZNQ7SPiXeyfqH+y178/OP7Dn19MEfMxNlJJuoieaiPZPKfyymXeSHyBapPqs7vB35HQWFg7YGsfmJ1sbaNl0zUxVHzkG6H90i6HQpnFn85hre/6M8cr+2kuViW1fJ8mMVPTKdKWW/7Dk4IIUSJkJCewJebv+S77d+RbkwHoEvlLnze6XMal2ts59EJYUu6HZYgRqORLVu2YDSWjGs2qZ0z5OEfHMpP321jx+DdDLxSHZ1ZR/z1+nSZuIF3/txL/L7D9h7iXXGGTJyNZKIukof6lORMUrNS+Xzj51T8riJfbP6CdGM6LUNasnboWlY8tsJuhVdJzkSNHDUPvb0HIO6foijExcU59GFhzsSZ8qhVuxF/TDnGtnNn+GX9NVYfjcU4bTqT0iexuX4IX42YSYP6Hew9zDtypkychWSiLpKH+pTETDKNmfy0+yc+3fgpsWmxANQtW5fPOn1Gr2q90Gjsez3KkpiJmjlqHlJ8CSHuqEWFSrSoUIkdZ69z9fHJPNFGIdE9hkNPdEHf8GlqTPgEvZ+vvYcphBDCgX2z9RveWfMOAJV9K/Nxx48ZVGcQWo0cqCWch/w0CyEKrFlFP3ptjOT/KkzkiUN+DD6YTZ3fJnMjtALT3nyC81dP2HuIQgghHES2KZuLyRett59r8hy1A2oztedUjr5wlMF1B0vhJZyONNy4R2pquGE2m4mJiSE0NNThOr44o5KSR1a2iU1f/0KFiZ8TlBhNxZfhuoeGHtUe5/ueHxNeOtzeQ7QqKZk4EslEXSQP9XH2TLZd2MbgvwdTzrscG4dvtB5SqCiK3Q8vzI+zZ+Jo1JZHQWsDKb7ukZqKLyHsKTktg4UfvM9PCd+yJSwbAA06+lUeyDc9PqGiXyU7j1AIIYTaXE65TKXvK1HKtRS7n95NSKkQew9JiPsi3Q5LEKPRyJo1axyu24uzKml5lPJ0Y+jXX7Loq+sMq/ob7uYGKJhYeHoO1b6rzMDvu3Am4Yxdx1jSMnEEkom6SB7q40yZZJuymb53Os8tfc66LNg7mKjBUZx9+azDFF7OlIkzcNQ8pPhyAoqikJKS4nDdXpxVSc0jwM+L6YOf4MTozTxebiodzuowamF+wiqqfVuZgT/24tT1U3YZW0nNRM0kE3WRPNTHGTLJNGbyy55fqDG5BiP+GcHU3VPZfmG79f6OFTviYfCw4wjvjjNk4kwcNQ8pvoQQhSrE14OZTz3DtFePMXlfR7qcApMW5l+JpMZ31ej/ax8OxR6y9zCFEEIUkbSsNCZunUjl7yvz1JKnOJNwhrKeZfk64mvqlK1j7+EJYVfSal4IUSQq1q3C8wvX0HnjXjZ98gwLAnYSVU3hrwtL+GvKEqb1/oPhjQbae5hCCCEKyfX060zaMYnvt3/PtfRrAJT3Ls+rLV/l6cZP4+niaecRCmF/0nDjHqmp4YbZbCY+Ph5/f39VdHsp6SSPvB38Zw0Hxo/ir9CjLK3uRbhpBo81q85zHSqDNomynmWLrMOVZKI+kom6SB7q40iZXE65zMRtE5myawqpWakAVPGrwhut3+Dxeo/jqne18wgLhyNlUhKoLQ/pdljE1FR8CeEoFEVh97o9fHLkGvtjLJ0Rv1r+HW/03IdHcCB/DJgrh6QIIYSDiEmK4fONnzN933QyTZkA1Ausx9tt3uaRWo+g0+rsPEIhio90OyxBsrOziYyMJDs7295DEUget6PRaGjSsTGLno9g1sjmDDJfot6FVcQSx7nLh9n3xXxiE9IK/XUlE/WRTNRF8lAfR8gk/kY8U3dPJdOUSevQ1kQOjmTfM/sYWGegUxZejpBJSeKoecg5X07C0dpsOjvJ4/Y0Gg1tqvrT+rNhnCqVwt5Jn3HO8zoRZz7h+KyZ/PvMWH6rtpzWYc15tsmzBHgG3PdrSibqI5moi+ShPmrKxKyYWXpiKSevneTVVq8C0DC4IR+0/4DOFTvTNrytnUdYPNSUiXDMPGTPlxDCbjQGA1XfHUOV09FUeehdUt29qB53nvDfRrHiTCTvr3uf0IlhPLPkGY7GHbX3cIUQosTac3kPff/oy9tr3uZK6hXr8g87fFhiCi8hCoMUX0IIu9N4elLxq0/wvHCe6KdGUS/WwKRIb1xNlck0ZfDTnp+o9UMtes7pyeozqx3umh5CCOForqZeZemJpdbbTco1oUfVHoxuPhq9Vg6cEuJeScONe6Smhhs5F5nz9vYusm5xouAkj/unXLjAoS37GZfkx5qzG0jRLSJdtw3lf29n3bJ1GdNyDI/WebRAXbQkE/WRTNRF8lAfe2VyOPYwE7dNZNaBWWg1Wi6MuYCfu591TCX550O2E3VRWx7S7bCIqa34MhqN6PV6VfzwlXSSR+HaE53A/o8n0nbhJ0xsoeHXRloy9SYAAj0Deb7p8zzd+GmCvILyfQ7JRH0kE3WRPNSnODMxmo0sOb6E/9vxf6w9t9a6vHn55kzrO41aAbWK9PUdhWwn6qK2PKTbYQliNBqJiopyyJMOnZHkUbgahfky/Pl+BNdqx+Qohctfm/h4jR6fDHeupl3lg3UfEDYxjJn7Z+b7HJKJ+kgm6iJ5qE9xZBJ/I54vNn1B5e8r89D8h1h7bi1ajZaHaj7E5hGb2fbkNim8biLbibo4ah5y0K4QQv0aNcJzwzpYvRqPsa/z3oZ9vLnJyK8NPfisvTcXSl0lLbUiRpMZvU7LpZRLlHYrjYfBw94jF0II1dl9aTeTdk5i7sG51utz+Xv481Sjp3i2ybOE+YTZeYRCOC+H2/O1YcMGevfuTbly5dBoNCxatMjmfkVR+PDDDylXrhzu7u506NCBw4cP26yTmZnJqFGj8Pf3x9PTkz59+nDhwoVinIUQ4q5pNBARgeve3fDHH2gqVObZ3TdY+Kc/5dJ/ZPySZDp8vY4Zm88yKuplyk8oz19H/rL3qIUQQjVWn1lNq19b0eTnJszYN4NMUyaNgxszo+8MYl6J4fPOn0vhJUQRc7jiKy0tjfr16zNp0qQ87//yyy+ZMGECkyZNYufOnQQFBREREUFKSop1ndGjR7Nw4UL++OMPNm3aRGpqKr169cJkMhXXNIQQ90qrhYED0R87ClOmUG3mVN6I6IifpwvJl+P497tpRB7bRmJGIgHuFawPSzGmYDLLNi6EKFluPrX/evp1tl7YikFrYEjdIWwduZWdT+1kaIOhuOnd7DhKIUoOh264odFoWLhwIf369QMsHzDlypVj9OjRvPHGG4BlL1dgYCDjx4/nmWeeISkpiYCAAH7//XcGDhwIwKVLlwgNDSUqKoquXbsW6LWl4YbIj+RhHxnZJk6NfJE6v09la2ht3ujagauBPXmkcQhPtqnIexueZd35dYxoOIKRDUcSXjrc3kMu0WQ7URfJQ33uN5M1Z9fw2cbPeKDiA7zV9i0Ask3ZTNw2kSfqP3HbJkUib7KdqIva8ihobeBU53ydPXuWK1eu0KVLF+syV1dX2rdvz5YtW3jmmWfYvXs32dnZNuuUK1eOOnXqsGXLlnyLr8zMTDIzM623k5OTAcjOziY7OxsArVaLTqfDZDJhNput6+YsNxqNNn+B0ul0aLXafJfnPG8Ovd4S160nFup0Om7cuIG7u7vND5/BYMBsNtvs0dNoNOj1+nyX5zf24p5TfssdYU755eHIc3KEnFx0OupUCEBxdaVlzGE2/HKYFVV389WVJ5i94wzxnqtJM13lkw2f8OmGT+lSuQsjG46kR+UeuOhcVDknZ8zp5jmlpKTg5eWFRqNxmjk5ck555eHoc3LknEwmE6mpqXh5eaHT6Qo0p5xW8DqdjgvJF1hzdg3nE8/zavNXra/5WqvXMBqNNvOVnAo2J0VRSE1NpVSpUredqyPN6daxO9KccvLw9vbGYDDYfU633p8fpyq+rlyxXHE9MDDQZnlgYCDnz5+3ruPi4oKvr2+udXIen5dx48bx0Ucf5Vq+cuVKPDwsJ/WHhYXRsGFDDhw4QHR0tHWd6tWrU6NGDXbs2EFcXJx1eYMGDQgPD2fDhg02h0W2bNmSsmXLsnLlSpsfxo4dO+Lu7k5UVJTNGCIiIli3bp3NMr1eT8+ePYmPj2fr1q3W5d7e3nTq1ImYmBj27dtnXR4QEECrVq04efIkx48fty6315x69OhBeno6a9f+1/LWUebUtm1bNm7cyK0ceU4Ok9PHH7OlVi1CfvmFsLVr6XpyGxGndvBXnU580+YTzvieIttlBUnsZ8XpFaw4vQIfvQ8d/ToS4RdBebfy6puTM+b0vzmlpqY63ZwcOaf4+Hinm5Mz5nTrnALLB/LJX5+w+MJimvs0p0/ZPrRs2ZL+tfqzcsdK2pduz7JlyxxqTmrPKSQkhMaNGzvVnBw5J39/f1q3bm33Od24cYOCcKrDDrds2ULr1q25dOkSwcHB1vWeeuopYmJiWL58OXPmzGH48OE2e7HAUsBUrlyZqVOn5vlaee35Cg0NJT4+3rpr0V5/NVAUhWXLlhEREYHBYLAuL6l/CbH3nPLLw5Hn5JA5HTmC7oMP0C5eDMDqFl15vtPLZJnMZGsuo3isIU3/L8lZsdbnaBfWjicbPcmDNR7EVWt78WZVzOmW5Y6cU3p6OitXrrRuJ84wJ0fOKb88HHlOjp5TZmYmq1atIiIiAldXV5s5KYrCzks7mXVoFn8c/oPEjEQAavrXZN9T+9Dr9aqck6PnlJ2dzapVq+jatStubm5OMadbx+5Ic8rJo0uXLri7u9t9TsnJyfj7+5esww6DgizHL1+5csWm+IqNjbXuDQsKCiIrK4uEhASbvV+xsbG0atUq3+d2dXXF1dU113KDwWDzCzZgPTzgVjkhFXT5rc+b3/KcH4a8xqLVatFqc/dVyW95fmMv7jndbrna53S7PPJa/3ZjV8uc7mW53edUvz4sWgTbtmH+4ANMA/qz4eF2/Ln7EpGrUjmf8DAGl0F4uezCvfR6zqZuYkP0BjZEb8DLxYsBtQbwc5+f0Wr+G6vd53QLZ8jp1u3EGeZUkDHe7fLimtOteTjDnAq6XG1zynn+nGIY4OqNq/x+4Hd+2/8bx+KPWdcPKRXCkw2fZETDEbi4/HcYtdrm5Cw55fzbmeZ0p+VqnlPOGOw9p/zuv5XDdTu8nYoVKxIUFMSqVausy7Kysli/fr21sGrcuDEGg8FmncuXL3Po0KHbFl9ql98PirAPyUNFWrTAtHQpxqAgyni6MKpzVaKOzWXvzOd5/cx63NMbY4x9neAb06hf6mnKeYaTmpVKTHKMTeF1IVkuR1HYZDtRF8lDffR6PenZ6cw9OJeus7oS9m0Yb/37Fsfij+Gud2dI3SGsenwV514+xwcdPiDUJ9TeQ3Z6sp2oiyPm4XCHHaampnLq1CkAGjZsyIQJE+jYsSN+fn6EhYUxfvx4xo0bx/Tp06latSqff/4569at4/jx43h7ewPw3HPPsXTpUmbMmIGfnx9jx47l2rVr7N69O8/KOC9q6nYohLgLSUnQqBGcOQNARnhFfu/5JOO862JGi4JCGd+zdK9Tnjc696aUm4GLyRcJ+zaMZuWbseaJNbgb3O08CSGEs0vMSOT1Va8z7/A8kjOTrcvbhrVlaP2h9K/dn1Ku8vuHEGrhtN0Od+3aRceOHa23x4wZA8DQoUOZMWMGr7/+Ounp6Tz//PMkJCTQvHlzVq5caS28ACZOnIher2fAgAGkp6fTuXNnZsyYUeDCS23MZjPx8fH4+/vnuXtWFC/JQ31sMvHxgaNH4aef4JNPcDt/lqd+eIeh9Row7+Hn+NIYxvWESszeCAu3/8uDDctTtuxeNGgwaA02hdf6c+tpWr4pHgYPO87OMcl2oi6Sh/0pisKV1CsEe1tOm/DQe7D42GKSM5MJ9wlnaP2hPFH/CSr7VbbzSEsu2U7UxVHzcLg9X2qhpj1f2dnZREVF0aNHjwIfbyqKjuShPvlmkpoKEyfCV1/B/zobZfz2O39Va8vMrec4cfW/bnz1whS61fPgqZYdMOi0xN+IJ+jrINz0bvSp3odBdQbRtXJXXPW5zw0Vucl2oi6Sh32dun6KnnN6kpyZzIVXLqDT6sjOzubt2W/TtU1XOlXuZHMYtLAP2U7URW15FLQ2kC1ZCFFyeXnBe+/B6dPwyitQuTJu/R/msRbhrBjdjj+GNqJ7nSB0Wg0HojV8uTSdtuPX8n//nmT3hWOE+oSSlp3G3ENz6ftHXwK/DmT44uGsOLWCbFPBrvchhCh5opOi2XB+g/V2mE8Y8TfiScxI5EjcEevyNr5taB/eXgovIZyIwx12KIQQhS4gACZMgC++gP91CtOYzbR4tDstmjXj6iuvMyvGxNwd0VxJzuCbVScw6DR0r/UXDVvEczhhGX8e+ZNLKZeYsW8GM/bNoIx7GR6p9QgDaw+kbXhb9Fr5uBWiJDuXeI4FRxfw99G/2RKzhQqlK3DmpTNoNBpcdC5EDo6kdkBtvF297/xkQgiHJb8NOAGNRoO3tzcajcbeQxFIHmpU4ExuatHMmjWwfz/s30/g77/z6ksv8eLY11h2IZPftp5jb3QiUQevEHUQKvn34/2mLxISeJ7I03/z15G/iLsRx4+7f+TH3T/i7+FPn2p9GFhnIF0qdynayToI2U7URfIoGkfjjrLg6AIWHFvAnst7rMs1aAj3Ceda+jX8PfwBaBHSwuaxkon6SCbq4qh5yDlf90hN53wJIYrIpk3w5puwebPldunSltujRnE4MZs526NZtPciaVmWi0C66LX0qBPEgKblSVX2Me/wPBYdX8T19OsADKg9gHmPzAMsJ9enZqXKX7mFcCKKorD3yl7rHq6br8Wl1WhpF96Oh2o8xEM1H6J8qfJ2HKkQorAVtDaQ4useqan4MpvNxMTEEBoa6lDdXpyV5KE+95WJokBkJLz1Fhw6ZFlWrhxs3w4hIaRmGvln3yVmbz/P4Uv/tYOuWtaLwc3D6FM/iP1xW1l4dCHdqnSjZ7WeAByJO0LDHxvSs2pP/h7wt8P95e5+yXaiLpLH/ck2ZfPG6jdYeGwh5xLPWZcbtAYeqPQAD9d8mD7V+xDgGVDg55RM1EcyURe15SENN0oQk8nEvn37MJlM9h6KQPJQo/vKRKOBXr1g3z6YORPCw6FiRShv+au1l6uewc3DWDqqDYtfaM3AJqG4G3ScjE3loyVHaPXFOpbs8GNw9Q/pUbWH9WnXnF1DlimLTFOmTeE1ecdkdl/ajVkx3++0VU22E3WRPO5OXFoca8+utd426AxEnYziXOI5PAwePFzzYWY/NJu41+KIGhLFyEYj76rwAslEjSQTdXHUPOScLyGEKAidDh5/HAYMgNhYS1EGkJgIAweief116nfuTP3Q0rzTqyaL9l5kzvZojl1JYeHeiyzce5HwMh4MaBLKI41DeLHZi3Su2JlMU6b1JaKTonlx2YsABHkF0b1Kd3pW7UlE5Qi5mKoQKnEs/hi1JtfCw+DBtdevWS8v8VGHjzDoDHSr0k2u/SeEyNddF18ZGRlkZWXZ7E6bP38+e/bsISIigs6dOxfqAIUQQlVcXSE09L/b33wDK1daviIi4IsvKNWoEU+0rMDjLcLZF5PI/F0x/LPvEuev3eCrFcf5ZuVxOlYvy4CmoXSqUdb6VGlZafSr0Y9Vp1dxJfUK0/dNZ/q+6ei1etqGtaVn1Z70qNqDGv41StxhikIUt4T0BNacXcPK0ysp7Vaa8RHjAahepjrB3sEEegZyIfmC9aLHA+sMtOdwhRAO4q6Lr8cffxxPT09mzJgBwPfff8/o0aMB+Oqrr1iyZAk9evTI/wlEodNoNAQEBMgvYyoheahPkWby4ouQlARTp8KqVZavgQPh00/RVKlCwzBfGob58l6vWkQeuMy8nTHsOp/Av8di+fdYLP5erjzcqDwDmoZSM6AmCwcuJNOYycbojUSeiCTqVBQnrp1g7bm1rD23lrGrxhJSKoQHKj3AAxUfoHOlzgR5BRX+vIqYbCfqInlAlimLrTFbWXVmFavOrGLXpV3Ww38DPAIY98A4tBotGo2GYy8cK/JmOZKJ+kgm6uKoedx1w43w8HDGjx/PoEGDAKhSpQqtWrVi0qRJjBw5kmvXrrFmzZoiGayaqKnhhhBCBc6cgfffhzlzLE069Hp49ln4/vv/DlH8n1Oxqfy5K4a/91wgPjXLurxhWGkebhRC73rl8PEw/Lf+9VPWQmzduXVkmf57TGipUM6PPm/9zyfblI1B999jhRB5UxSFo/FHWXXaUmytO7eOtOw0m3Vq+tckolIE3ap0o0vlLui0OjuNVgihdkXW7dDDw4MVK1bQtm1bzp49S+XKldm+fTtNmzZl+fLlPPHEE8TGxt73BNROTcWXyWTi5MmTVK1aFZ1O/mOwN8lDfYo1k/374e23ISoKRoyAX3/Nd9Vsk5k1x2KZvzOGdSfiMJktH8cuei0RNQN5uHF52lUNQK/7rzfSjewbbI7ezOozq1l1ZhUNghowre80yzzNJkImhlDVryp/PPIH5bzLFe1c74NsJ+pSkvI4m3CWd9e+y/pz67mYctHmvgCPAB6o9ABdKnfhgUoPEFIqxE6jLFmZOArJRF3UlkdBa4O7PuzQw8ODpKQkADZu3IiXlxdNmjQBwM3NjdTU1HscsrhXZrOZ48ePU7lyZVX88JV0kof6FGsm9etbWtNv2ACVKv23/NgxWLrUcpiimxsABp2WrrWD6Fo7iNiUDBbvvcTfey5w7EoKkQcvE3nwMgHervRrUI6HG4dQI6gUHgYPIipHEFE5gvGMx2T+r8vTwdiDXEm9QlpWGmU9/zuX7MvNX5KQnkDb8La0Dm2Nj5tP0b4HBSDbibo4ax5nE84SeTKS8t7lebDmgwC4G9yZc3AOAK46V9qGtyWiUgRdKnehXmA9tBp1NIJ21kwcmWSiLo6ax10XX3Xr1mXy5MmEh4fzww8/0LFjR+vhLtHR0QQFOd65B0IIUejatbO9/c47sGABfPcdfPQRPPGE5dDE/ynr7cZT7SrxZNuKHL6UzN97LrB43yXiUjL5eeNZft54ltrlSlkOS6xfjgBvS4e1mw+DahDUgNMvnebEtRPotf899y97fuHk9ZN8sfkLtBot9QPr0zasLe3C29E2vK1NoSaEo8o0ZrL3yl4qlq5IoFcgAJEnIxm1bBQRlSKsxVeQVxATu06kXmA9Woa0xN3gbs9hCyFKmLsuvt577z169epFgwYNcHFxYfXq1db7IiMjadSoUaEOUAghnEKvXrBzJ8TEwMiR8PXX8Nln0K+fzTlhGo2GOuV9qFPeh7d71GTd8Tj+3n2Bf49d5fClZA5fOsJnUUdpXcWfBxuWo0utIDxd//sor+RbiUq+/+1xUxSFt9u+zYbzG9hwfgOnE06z98pe9l7Zy/c7vrc+pnn55pavkOY0DGpobZ8thBopikJ0UjTbLmxj24VtbL2wlb1X9pJlyuKnXj/xVOOnAOhYoaP1nK2bjW4x2g6jFkKIeyi+OnXqxNGjR9m9ezcNGjSg0k2H1XTq1IkGDRoU5vhEAWi1WsLCwlRxdW8heaiRKjIZPhwefRQmT4bPP4ejR+Ghh6BFC/jqK2jTJtdDDDotEbUCiagVSEJaFksOXOLvPRfZH5PIhhNxbDgRh7vhEBG1AunXsBxtqwZg0NnOUaPRMKzBMIY1GAbApZRLbDy/kY3RG9lwfgMHYw9yJuEMZxLOMPfQXMvrag0sHLiQntV6ApYucAatoVA7SqkiE2Gl9jySM5PZe3kv2y9utxZbV1Kv5FrP38OfG9k3rLdrl63NysdXFudQC43aMymJJBN1cdQ87rrhhrBQU8MNIYSDSUqyFFwTJ8KNGzB+PLz+eoEffjY+jcX7LrJ43yXOxv/Xnc3P04Ve9YLp26A8jcJKF6hYSsxIZOfFnWy/uN3ydWE7cTfiOPHiCaqWqQrAN1u+4fNNn/Ny85d5v/37gGXPg1kxS/c3UaTeXfMu8w7P49T1U7nu02v1NAhqQIvyLWgR0oKWoS2pWLqiw7WdFkI4hyJruAGQmZnJjBkzWLduHfHx8fzwww9UrVqVxYsXU7duXZu9YaLomUwmDhw4QL169RzqhENnJXmoj+oy8fGBTz+FF16Ab7+FUaP+u2/XLvDzs23WcYuK/p6MfqAaL3euyoELSSzad5El+y8Rn5rFzK3nmbn1PGF+HvSuH0yveuWoEeSd7y+kpd1KWxt4gKWoOpd4jgqlK/w3pMu7uJ5+3eY8srOJZ6nzQx3qBtalYVBDGgQ1oEFQA+oF1sPD4HHHt0B1mZRw9s4jLSuNwQsGc+DqAY6+cBQ3vaUpTVxanLXwCi0VSrPyzWgZ0pIWIS1oFNzIqc/XsncmIjfJRF0cNY+7Lr7i4+Pp2LEjhw8fJigoiKtXr5KSkgLAokWLWLFiBT/88EOhD1Tkz2w2Ex0dTZ06dRzqh89ZSR7qo9pMgoMte71ymEyWwxOPH4dnnoF334XAwHwfrtFoqB9amvqhpXmnR002n77G4r0XWXH4CtHXbzB57Wkmrz1NlbJe9KoXTO/65agc4HXbIWk0Gir6VrRZ9lu/3xjbcqxNY459V/aRbkxnx8Ud7Li4w7pcq9FSybcStQJqUcu/luV7QC1q+NfA08XTup5qMymhijIPs2ImOimaw7GHORz3v6/Yw1Txq8Ifj/wBgIfBgy0xW4i/Ec+h2EM0KWfpovxc0+d4pNYjNAxuiL+Hf6GOS+1kG1EfyURdHDWPuy6+Xn/9dRITE9m1axf16tXDxcXFel/Hjh0Zf/MvEkIIIQouMRHKlYNDh2DSJJg+HcaMgbFj4Q6HN+t1WtpXC6B9tQDSs0ysPnqVpQcusfZ4HKdiU/l29Um+XX2SWsGl6FU/mN71yhHqd+c9VAAuOhcal2tss6xfjX4cf/E4+67sY+/lvey7avl+Ne0qp66f4tT1U/xz/B+bx1QsXZFjLx7DRWf5f+NS5iWupF4hpHSIHCrmBFKzUq3Zn7x2khPXT3A49jBH4o7kungxwPX069Z/azQafuz1IwEeAdQOqG1d3iCoQXEMXQghis1dF19Lly5l/PjxNGrUCJPJZHNfSEgIFy5cKLTBCSFEiVKmDKxYAWvWwJtvWrojfvIJTJliaVX/3HPgeucuhO4uOnrXL0fv+uVIzshm1WFLIbbxZDxHLidz5HIyXy4/Tv3Q0vSuF0yPusGUK313h29pNVqqlalGtTLVGFB7gHX51dSrHIk78t9XvOV7bFosCoq18AKYFD2J579/nrkPz2VQnUEAHI07yvrz66niV4UqflUILRUq55WpzOHYwxyNP0rbsLbWlu7fb/+el5e/nO9jDFoD1f2rUzugtuWrbG3qlK1js85DNR8q0nELIYQa3HXxlZycTHh4eJ73ZWdnYzQa73tQ4u5otVqqV6/ucN1enJXkoT4Ol0mnTrB9u+W6YG+/DSdOwCuvQJUqlpb1d6GUm4GHG4fwcOMQEtKyWH74CksPXGLr6Wvsj0lkf0win0YepUFoaXrUDaJ7neAC7xHLS6BXIIFegXSs2NFmefyNeJvudFqtFr2rHu0NrU1r/FVnVtn8Em/QGggpFUKoTyihpf735RNqWfa/f5dxLyN7zu6TVqulUtVKRCdHczH1ItFJ0davLFMW0/pOs6474p8R7Li4g0UDF9G3Rl8AynuXB6CMexmqlqlKFb8qVPWrSq2AWtQOqE0VvyoYdAa7zM1ROdznVgkgmaiLo+Zx190Oa9asyWOPPcY777yDyWTCYDCwa9cuGjVqxCeffMLChQvZs2dPUY1XNaTboRCiWBiNMGOGZY/Y/Pn/XRPs3DkID7e5RtjdiE3JYPmhKyzZf4ld5xO4+X+CeiE+dK8TTI+6QYSX8cz/SQpBlikLrUZrbeax4OgCpu2dxumE05xJOEOWKeuOz1GtTDWOv3jcevvLzV+SYcxgaP2hhJe2/LEwNSsVs2LG2yX/5iPOKNuUjUajsb6/x+OPs+TEEq6mXuVK2hXL99QrXE27SlxaHAq5fyVw0bmQ/k46Wo3lF5yn/nmKQ3GHeK/de/So2gOAG9k3yDRm4uvuW3yTE0IIFSlobXDXxdenn37Kl19+ye+//07Pnj1xcXFh9+7dGI1GunfvzjvvvMMrr7xy3xNQOzUVX0ajkR07dtCsWTP0+ntqYCkKkeShPk6XSVKSpRtizZqWhh2tW9/X08UmZ7Di8BWiDl5h+9lrmG/6X6FWcCl61A2iR91gKt2hWcfdKEgmJrOJiymWvTAxSTFcSL5ATHKM5SvJ8j02LZbWoa3ZNGKT9XFhE8OISY5h+5PbaVa+GQATtk7g1ZWv4qpzpYxHGUq7lcbH1YfSbqVzfeUsD/QKpEOFDtbnjUmKQaPRUNazrM3hk0Uhy5RFYkYiN7JvkJaVZvmebfmesywlK4XEjEQS0hNIyEjArJiZ0W+G9Tl6zO7BslPL+LP/nzxS6xEA/jryF/3/7J/v67rqXAnzCSPUJ5QwnzDCSoUR5hPGE/WfkD1XxczpPrecgGSiLmrLo8hazb/xxhts3ryZBx98EF9fy1+4unbtyrVr1+jWrRsvv5z/Md+iaCiKQlxcHHLJNnWQPNTH6TLZvh3S02HzZsvFmXv3tly4uU6dOz82D2VLufF4ywo83rIC8amZrDx8lWWHLrPl9DXrOWJfrzxBtUAvutQKomvtIOqUL3Vfe5AKkolOq7MUAD5h+a6TacwkKTPJZtmTjZ7kQvIFm8flNHfINGVyKeUSl1Iu3XGMNf1rcuSFI9bb3WZ340jcEf594l86VewEwC97fuHVla+i0+jQaXVoNVrrv3Wa/93+378BjGYj/h7+bHtym/V5u87qypaYLcx5aA69q/cGYO7BuQxbPOyOY7yZQWtget/p1lxc9ZbzA28+3LN6meoMqTuEIK8gAj0DLd+9AinjVoZDWw/xaJ9HbRppCftxus8tJyCZqIuj5nHXxZfBYCAqKop58+YRGRnJ1atX8ff3p1evXgwaNMjhjrsUQgiH06ULnDoFH30Ev/4KS5bA0qXw+OPw8ceWwxHvkb+XK4ObhzG4eRgJaVmsOnKVqEOX2XQynhNXUzlx9RST1p6ifGl3ImoF0qV2IM0q+KHX2eez31XvSll9WZtlOReCvtmnnT7l7bZvE5sWS0J6AokZibm+kjKTrP9OyEggtFSozXPotXoMWgPu+v+akyRnJpOcmXxXY07NSrW5nZ6dTmpWqs0hljlt+d317ngYPPB08bR8N1i+exg88HLxwtfNF193X+t3s2K2Fno/9vqRn3v/TGm30tbnrRtYl1kPzco1puzsbC4YLpSoQzKFEMIe7mkfnUajYdCgQQwaNKiwxyOEEKIgypWDH3+0tKJ/7z3480+YOdPy/fx5CAi475fw9XRhQNNQBjQNJSk9m7XHYll55ArrjsdxMTGdGVvOMWPLOXw9DHSuGUjX2kG0reqPm0Gd3Qk9DB5UKF3B5gLSd2P/s/sBbP7KOqLhCHpX641JMWEymzAr5nz/raBg0Bqse6RyzH5oNlmmLIK8gqzLHqzxIKb3TdbzrO7FzddlE0IIoQ53fc7XiRMnuHz5Mu3bt8913/r16ylXrhxVq1YttAGqlZrO+TKbzcTExBAaGip7HlVA8lCfEpHJzp3w1lsQEmJp0JEjOxsMhXuuTka2iU0n41lx+Aqrj14l4Ua29T53g462Vf15oFYgnWqUxd8r79b4JSITByJ5qI9koj6SibqoLY8ia7jRq1cvqlWrxoQJE3LdN3bsWE6cOME///yTxyOdi5qKLyGEsMrM/O9aYMePW9rWv/kmPPMMFMG5PEaTmV3nE1hx+AorD1/lYmK69T6NBhqF+dK5ZlkiagZSpayXHNYmhBDCKRW0NrjrMnHnzp20a9cuz/vat2/Pzp077/YpxX0yGo2sWbNGrrGmEpKH+pSoTG6+CPOkSXDpErz0EtSoAbNng9lcqC+n12lpUakMH/SuzaY3OrJ0VBteeaAadcv7oCiw+3wCXy4/TsTEDXT4eh0fLznCltPxpGdmlZxMHECJ2kYchGSiPpKJujhqHnd9zldSUhJeXnm3G3Z3dychIeG+ByXujqIopKSkOFy3F2cleahPic1kwgSoXdvSmOPsWXjsMfjySxg3Drp3v+drhOVHo9FQp7wPdcr78PIDVbmclM6/R2NZffQqW05f4/y1G0zbfJZpm89Syk1PFc8srnlfpFPNIMrkc3iiKB4ldhtRMclEfSQTdXHUPO66+Cpfvjw7duzggQceyHXfjh07CA4OLpSBCSGEuE8GAzz7rKUL4vffW64JduAA9OwJffvCokVF+vLBPu481iKcx1qEk5ZpZOPJeFYfvcraY7FcS8tiT4aWPX8fQqM5RP2Q0nSqUZZONcpSK7gUWq0cniiEEML53HXx1a9fP7744gtatmxJx44drcvXrVvH+PHjGTlyZKEOUAghxH3y9LQ043j6afjiC/i//4MWLYp3CK56utUJoludIExmhV1n4/k1ahsxJh+OXklhX0wi+2ISmbDqBAHernSsHkDH6mVpU9Ufbze5uK8QQgjncNcNN5KSkmjdujVHjx6lWrVqhISEcOHCBU6cOEGtWrXYvHlziWhAoaaGG2azmfj4ePz9/VXR7aWkkzzURzK5RUwMlCkDHh6W28uXw/z5lsMTQ0Nv/9hCcnMmsSlZrDsey5pjsWw6Fc+NLJN1Pb1WQ5MKvrSvVpb21QKoGewtTTuKgGwj6iOZqI9koi5qy6PIuh0CpKamMnHiRJYvX05cXBwBAQF0796d0aNH53s+mLNRU/ElhBD3TFGgYUPYv9/SrOPFFy17ycqUsctwMo0mdp5NYM2xWNYej+VsfJrN/WW9XWlXLYB21QJoW8UfX8/C7+AohBBC3K0iLb6Euoqv7OxsVq5cSZcuXTAU8vV8xN2TPNRHMrmDbdss7ejXr7fcLlUK3ngDXn7ZcshiEShoJmfj09hwIo71J+LYevoa6dn/7RXTaKB+SGnaVwugffUA6oeURifnit0T2UbURzJRH8lEXdSWR0Frg7s+50uok6O12XR2kof6SCa30aIFrF1rOfzwrbcse8Heecdybtj330P//kXysgXJpKK/JxX9PRnaqgKZRhO7ziWw/kQc64/Hcfzqf+eKfffvSUq56WlV2Z82Vf1pVzWAsDIeRTJuZyXbiPpIJuojmaiLI+ZRoOJrxIgRvPfee1SsWJERI0bcdl2NRsOvv/5aKIMTQghRTDQaS/v5rl3hjz/gvffgzBnQq+dvdK56Ha2r+NO6ij9v96jJ5aR0Np6IZ/2JODaejCM5w8jyw1dYfvgKAGF+HrSp6k/bKv60quyPj4f9/zIqhBCiZCvQ/6pr167l5ZdfBmDNmjW3PdlZToQWQggHptXC4MHwyCPw99/Qr99/982bB76+EBFR6NcIuxfBPu4MaBrKgKahGE1mDl5MYtPJeDaeimfP+QSir99gzvZo5myPRquBuiGlaVvFsmesYVhpXPU6e09BCCFECSPnfN0jNZ3zlXOROW9v6QKmBpKH+kgmhSA5GSpVgmvXoFMnS8v6pk3v+emKOpPUTCPbz1xj48l4Np2K51Rsqs39bgYtTSv40bJyGVpX9qdOeZ8Sfb6YbCPqI5moj2SiLmrLo0gabmRkZPDxxx/z8MMP07hx40IZqKNSW/FlNBrR6/Wq+OEr6SQP9ZFMCkFSkqUV/eTJkJVlWfbII/Dpp1C9+l0/XXFncjkpnU3/K8S2nL5GXEqmzf3ebnqaVyxD6yplaFXZn2qBXiXqZ0W2EfWRTNRHMlEXteVR0Nrgrpriu7m5MXHiRNLS0u68sig2RqORqKgohzzp0BlJHuojmRQCHx+YMAFOnIChQy2HHf71F9Subbl48+XLd/V0xZ1JsI87/ZuE8t2ghux4uzOrXmnHh71r0aVWIKXc9KRkGFl99CofLTlC12830PSz1bw4Zw+zt5/ndFwqzn6QiGwj6iOZqI9koi6Omsddn0lds2ZNzp49S7t27YpiPEIIIdQsPBxmzICxYy0dEf/5B375BUaNguBge4+uQDQaDVUDvaka6M2w1hUxmRUOX0pi86lrbDkdz85z14lPzWLpgcssPWApKgO8XWlRqQwtKvnRolIZKvl7quIvrUIIIRzLXRdf7733Hq+//jpt2rShcuXKRTEmIYQQalenDixeDJs3W77q1v3vvhUroG1b8HCMVu86rYZ6IaWpF1Ka5zpUJtNoYm90ItvPXGfbmWvsjk4gLiWTJfsvsWT/JcC2GGtesQyVA6QYE0IIcWd3XXxNnz6dGzduULNmTerVq0dwcLDNfzgajYbFixcX6iCFEEKoVOvWlq8cJ05Az54QGAgffgjDh6uqXX1BuOp1/yusyvAyVcnINrEvJpFtZ66x7cw19kQn5irGyni60LSCH80qWr5qBpcq0Q08hBBC5O2uux1WqFDhjq3mz5w5c98DUztpuCHyI3moj2RSjNavt5wTdv685Xa1avDZZ/Dwwzbt6R05k1uLsb3RiWQazTbreLvqaVzBl2YV/Whe0Y+65Uvjor+r06yLlSPn4awkE/WRTNRFbXkUSbdD8R+1FV9qarVZ0kke6iOZFLPMTJg61dIJMT7esqxpU0t7+k6dAOfKJNNo4uCFJHacu86Os9fZdS6B1EzbE8Bd9VoahJamaQU/GlfwpVGYLz7u6rnoszPl4SwkE/WRTNRFbXkUSfF1+fJlzp8/T0BAQIk/30tNxVd2djZRUVH06NEDg0E9/5mXVJKH+kgmdpKcDN98Y/lKS4NSpSA6Gnx8nDoTk1nh6OVkdpy1FGM7z13nWlqWzToaDVQP9KZxuC9NKvjSJNyPEF93u/0C4cx5OCrJRH0kE3VRWx4FrQ0KdCB+ZmYmw4YNY/78+dZlzZo1Y8GCBQQ7SHcrIYQQxaxUKcu1wV54wbIXLCzM0rIeQFFwi4uz7/iKiE6roU55H+qU92FEm4ooisLpuFR2nUtg57kEdp+/zrlrNzh2JYVjV1KYvT0agMBSrjQJ96NxuC+Nw32pVa4UBp16D1UUQghx9wpUfI0bN4558+bRtm1bWrRowcmTJ1m8eDHPPPMM//zzT1GPUQghhCMrWxa+/95mkWblSiKefRZl505LYw4n/kOeRqOhSllvqpT1ZlCzMADiUjLZfd5yiOLO8wkcvpjE1eRMIg9eJvKgpb29q15LvRAfGoVbDlNsFOZLgLerPacihBDiPhWo+Prjjz944oknmDFjhnXZ999/z5gxY0hNTcXLy6uoxicKSO9g3cScneShPpKJumhWr0ZrMsFPP8GsWTB6NLz++n97xpxcgLcr3eoE062OpehMzzKx/0Iiu85dZ/f5BPbGJJJ4I5ud/9tbliPUz53GYb7Wgqx6kHeh7R2TbUR9JBP1kUzUxRHzKNA5X25ubixevJiuXbtal127do2AgAAOHjxI7dq1i3SQaqSmc76EEMIhrV8Pb74J27ZZbvv5wdtvWw5TdHOz79jsTFEUzsSnWQqx6AT2nE/kRGwKt/6P7WbQUqecDw3DStMg1JcGYaUp5+OmipPPhRCiJCnUhhtarZZt27bRrFkz6zKTyYTBYGDXrl00atSocEbtQNRUfJnNZuLj4/H390erlfMD7E3yUB/JRH2smZQpg3bJEkvRdfSo5c4HHoBVq+w7QBVKzshmX3Qie6IT2BOdyN7oBFIyjLnWC/B2pUFo6f8VZJaLR3u53v6vw7KNqI9koj6SibqoLY+C1gYFHml+f0WTv67Zn8lkYuvWrZhMJnsPRSB5qJFkoj7WTMxm6NcPDhyAadMgNBSeffbmFcm1u6eEKuVmoF21AEY/UI2ZI5qx//0urB7Tnq/71+exFmHUKW+5sHNcSiarjlzly+XHGfzzdup+uIKICet5df5+ft96jv0xiWQabbcF2UbURzJRH8lEXRw1jwIfKNmxY8c8q8q2bdvaLNdoNCQlJRXO6IQQQpQMej0MHw6PPgquNzWVmDQJ/vjDco2w9u3tNz4V0mo1VCnrRZWyXjzSOASwnDt26FIS+6IT2Rdj+bqYmM7J2FROxqby954LABh0GmoGl6JeiA/1Q0pTO8gLs9S4QghR5ApUfA0dOrSoxyGEEELYnutlMsG338K5c9ChA3TvDuPGQf36dhqc+rm76GhawY+mFfysy2JTMjgQk8SBC4nsv5DE/guWZh4HLiRx4EISs7C0unfR6ph9eQf1QnypG1KKuuV9qOjvhU4rR7gIIURhKVDxNX369KIeh7gPGo1GNVf3FpKHGkkm6lOgTHQ62LIFPvkEfv4Zli2D5cth8GD4+GOoVKn4BuzAynq78UAtNx6oFQhYmnnEXE9n/4VES0EWk8ShS0ncyDKx63wiu84nWh/r6aKjdjnLNcvqhVi+V/L3RCsFWZGTzy31kUzUxVHzKFDDDZGbmhpuCCGE0zt1Ct57z3IIIoDBAJMnw1NP2XdcTsJktlwI+uCFJA5etHwdvpRERrY517qeLjpqlStF7XI+1C5XijrlfahS1ksuCC2EKNEKtduhyE1NxZfZbCYmJobQ0FBVdHsp6SQP9ZFM1OeeM9mzx9IZceVK2LcP6tUrsjGWJHnlYTSZOR2XZinGLiRy8GISRy4n51mQuei11AjytinIagR542bQFfdUnIZ8bqmPZKIuasujoLWB412ZTORiMpnYt28f5cqVU8UPX0kneaiPZKI+95xJo0aWQw+PHIFatf5b/t57UKYMPPecbcMOUSB55aHXaake5E31IG9rQ4+cguzwpSQOXUzm8KUkjlxKJiXTaD2HLIdOq6FygCe1gktRq1wpagaXolZwKcp4ST4FIZ9b6iOZqIuj5iHFlxBCCMdzc+F1+rSlG6LRaGnQ8fHHMGSI5ZwxUahuLsge+t8lPs1mhejrNzh8KZlDl5I4fCmZwxeTuJaWxYmrqf/f3p3Hx3S9fwD/zJKZ7BHZLUmsCbWEKEJR+1668rVU2tKqUpRaSgmltZYu+LVqaymtolVSTRBbRSmJLSSWkCCRRWTPZJbz++PKlZFFEknm3Mnzfr3mxZy5M/OcfDLkyb33XMTcz8LvkffE13CzVxdpyLycbGhhD0JIjUDNFyGEEGnz8gLWrgWCgoDbt4ExY4Dly4WVEQcOBCR2MrbUyOUyeDvbwNvZBgNbeQAQFvW4n6HBlYQMRCVkIOqe8Oet1Gzcz9DgfkYywqKTxdewslCgqbsdmrnbwdfdDr4e9mjmbg8HawtTTYsQQqqE2TVfQUFBWLBggdGYm5sbEhMTAQj/ISxYsADff/890tLS0KFDB6xZswbPPfecKcqtFDKZDC4uLpJb7cVcUR78oUz4U6mZKJXCwhsjRwrXBfviC+DSJWDwYKBzZ2DTJqBJk2d/HzNW2Z8RmUwGdwdLuDtYoruvqzierdHhamKmUUMWnZiBXK0e5+Mf4nz8Q6PXqeNgCV8Pe7Eh83W3QwNnmxqxuAf9u8UfyoQvUs3D7BbcCAoKwm+//YaDBw+KYwqFAi4uLgCApUuXYvHixdi8eTOaNm2KRYsW4dixY4iOjoadnV2Z34enBTcIIYQUkpYGLF0KfPUVoFIJhyU6O5u6KlICvYHhdmo2riRk4mpihvjnnbTcYre3UMjQyMUWTd2Ewx993e3Q1M0O9RytJPdDGCHEfFTqaodyubxc/6Dp9foyb1vZgoKC8PvvvyMyMrLIY4wx1KlTB1OmTMHMmTMBABqNBm5ubli6dCnee++9Mr8PT82XXq/HtWvX0KRJEyjoHAeTozz4Q5nwp1oyuXsXOH8eGDBAuM8YsGwZMGwY4O1dNe8pUTx+RjLytIhJzMSVhAxcSczE1YQMxNzPQpZGV+z2tmolmrjZwtfdDk1chYasqZstXOzUkmzKeMykpqNM+MJbHpW62uG8efOM/uHatGkTsrKyMHjwYLi7uyMhIQH79u2DjY0N3n777Wev/hldu3YNderUgVqtRocOHfD555+jYcOGiI2NRWJiIvr06SNuq1ar0a1bN5w8ebLU5kuj0UCj0Yj3MzIyAABarRZarRaA0KQqFAro9XoYDI+X4i0Y1+l0KNzrKhQKyOXyEscLXreAUinEpdMZ/8fDGEN0dDQ8PT1hYfH4+HgLCwsYDAajZlgmk0GpVJY4XlLt1T2nksalMKeS8pDynKSek8FgKJKJ1Ock9Zzy8/ONMqmSObm6Ar17Q6bTCXP6+2/IZ80CmzcPhvfeA5s9G0oPD8pJoSgxD1POyUoBtK5rB7969uKc9Ho97qXnIfp+Fq4nZSMmKQvRiZm4kSw0ZRFxDxER99DovWpZWaCxq82jPWX2aOhshSYuNuKqi7zmpNFoxEzUarXZfu9JaU5arRbR0dHw9vY2mzk9WbuU5lSQh5eXF6ysrEw+pycfL0mZmq+goCDx7ytXroS7uzsOHjwIW1tbcTwzMxO9evWCtbV1md64qnTo0AE//vgjmjZtivv372PRokXo1KkTLl++LJ735ebmZvQcNzc33L59u9TX/eKLL4qcSwYAISEh4pw9PT3Rpk0bXLhwAXFxceI2Pj4+8PX1xenTp5Gc/PgEYz8/P3h5eeHYsWPIzMwUxwMCAuDq6oqQkBCjb8bu3bvDysoKwcHBRjX07t0bABAaGiqOKZVKDBw4ECkpKQgPDxfH7ezs0KNHD8THxxvtHXRxcUGnTp1w7do1REdHi+OmmtOAAQOQm5uLsLAwyc2pS5cuRfKQ+pyknpOjoyMA40ykPiep53Ty5EkAjzOpjjklMgaLli3hcvEiFN98A92GDcDMmbg+cCCu3rlTo3M6d+6cUR5SmFMnT0980KMNIiIiEHsrDUl5QEKODBorJzzQqXHhdjLuZ+vxMFeL/24/xH+3HxrVZqNk8LAGWjdwRUtPF6TGRsFFrYO9hbBGCy85hYaGmvX3nhTndPnyZfj7+5vVnKSc07lz59C5c2eTzyknJwdlUe5zvho1aoTly5fjlVdeKfLYrl27MH36dMTGxpbnJatUdnY2GjVqhBkzZqBjx47o3Lkz7t27Bw8PD3GbcePGIT4+HgcOHCjxdYrb81W/fn2kpKSIuxZNuefrr7/+Qu/evWnPFwdzKikPKc9J6jnp9XoEBwcbZSL1OUk9p9zcXISEhIiZVNucdDrIDh6EYs4cyB79581cXWH45BMYxo0DLCxqZE4l5SHlOel0OuTm63AzJRvX7mfhekoOrj/aU3bnYS5K+unHzlKJxi42aOJmh8autmjoZIVGLrao42AJuVxWrXu+QkND0bt3b9rzxcmctFotQkND0bdvX1haWprFnJ6sXUpzKsijT58+XOz5ysjIgLOzc+VfZPnu3bvimxV5MaVS3LvECxsbG7Rs2RLXrl3D0KFDAQCJiYlGzVdSUlKRvWFPUqvVUBdz4U4LCwujH7ABIaTijj0t7etWnCdft6RxvV5vdFhCYXK5vNgLz5U0XlLt1T2n0sZ5n1NpeRS3fWm18zKniozzNCfGWImZSHVOJdVY3nFTzUmlUhWbSZXPSaUSzgHr1w/YuROYOxey69ehWLMGigkTgEKvV5NyKikPKc9JqVTCTqlEa09LtPZ0MnosN1+P60lZuJ6ciWv3s3AtKQs3krJwKzUbmXk6RMSnIyI+3eg5aqUcDV1s0cjFBo1cbNHY1RaNXGzR0MUGlhaKSp+TWq0ukok5fu9JaU5yudzo8HVzmFNZx3mcU0EeKpWq1Nqra04lPf6kcu/5atOmDRwcHBAaGmr0Jvn5+ejVqxcyMzMRERFRnpesUhqNBo0aNcK7776LTz/9FHXq1MHUqVMxY8YMAELdrq6ukl5wgxBCSAVptcCGDUC9esCgQcJYfj5w5AjQuzddI6yG0ej0iE3JxvWkLGFvWXIWrt/PQmxKNvL1hmKfI5MBdWtZiY1YQxdbNHIW/nSzl+ZiH4SQ8qvUBTcKW7RoEYYOHYqGDRvilVdegbu7OxITE7F7924kJibi999/f5a6n9n06dMxePBgeHp6IikpCYsWLUJGRgbGjBkDmUyGKVOm4PPPP0eTJk3QpEkTfP7557C2tsaIESNMWvez0Ov1uHDhAlq1alVsZ0+qF+XBH8qEP9xkYmEBjB9vPPbdd8CHHwJduwpL1nfsaJraqhE3eZiYWqmAr7s9fN2Nf3DSGxjupAmHLd5IzsKNpGzcSBaas4c5WtxJy8WdtFwcjUk2ep6NSoEGLjZo6Py4MWvobIOGLjawVpX+Ixhlwh/KhC9SzaPczdfAgQNx4MABzJkzB2vWrIHBYIBMJkP79u2xadMm9OrVqyrqLLM7d+7gf//7H1JSUuDi4oKOHTvi1KlT8PLyAgDMmDEDubm5mDBhgniR5ZCQkHJd44s3BoMBcXFxaNGihaS++cwV5cEfyoQ/XGeSlQWo1cCxY0BAADB0KPD550CzZqaurMpwnQcHFHIZvJxs4OVkg57NHp+mwBjDg+x83EgW9pbdTM7CzZRs3EzOQnxaLrLz9bh0NwOX7mYUeU03ezUaONsUutmigbM16te2hlqpoEw4RJnwRap5lLv5AoCePXuiZ8+eyMnJQVpaGhwdHU2+ymGBHTt2lPq4TCZDUFCQ0QqOhBBCiGj2bGDUKCAoCNi8Gfj9d2DvXiAwUBirX9+k5RF+yGQyONmq4WSrRvsGtY0ey9cZEPcgx6ghu5mcjZsp2XiQnY/7GRrcz9Dg1M0HRs+Ty4C6jlbwrm0NZMmRFH4bjV3t4eUkNGYWiqLnwBBCpKNCzVcBa2trbpouQgghpNLUry+cCzZtGjBnjtCAbdwIpKQAf/xh6uqIBKiUcjR2FRbmeFJ6jhaxqdmITclCbHI2YlNzxL9n5+sR/yAX8Q9yAchxPPjx0tkKuQx1a1nB29kG3k7W8HaygbezNbycbFDP0QpqpXR++09ITVWh5uvWrVv49ddfcfv2beTm5ho9JpPJsGHDhkopjpSNXC6Hj49PsSvCkOpHefCHMuGPZDJp3hzYswc4dQr45BOg8PUeHz4UzhmzsTFZeZVFMnmYCQdrC/hZ14Jf/VpG44wxJGdpEJucjRtJmYi8fhfpTI3bqTm4nZqDXK0ecQ9yEPcgB8eeeE2ZDKjjYAUvJ2t4OVnDs7aN+HcvJxvYqp/p9+0E9DnhjVTzKPdqh/v378crr7wCvV4PV1fXIsuvy2Qy3Lx5s1KL5BGtdkgIITXcxInArl3AvHnA2LFGy9QTUtkYY0jK1CA2JRu3U7NxKzUHt1KyEZuSjbgHOcjJ15f6fCcbFTydrOFZ+4mbkzXc7IRrmBFCKq6svUG5my8/Pz/Url0bO3bsgKur6zMXKlU8NV86nQ6nT59G+/btS7w2Aak+lAd/KBP+SD6T/HygVSsg+tEhYY0bA4sWAa+/Dkjst7CAGeRhhsqTScEes7hHe8huP8jB7dRs3E4V9pI9yM4v9fkqhRz1alsZNWX1HK1Rv7YV6te2hr0l/WIBoM8Jb3jLo8qWmr927Rp2795doxsv3jDGkJycjHL20aSKUB78oUz4I/lMVCrgwgXg+++Bzz4Drl8Hhg8Hli0DvvhCctcIk3weZqg8mchkMrjaWcLVzhLtvGsXeTwjT4u4R41YwS3+0Z9303KRrzcIi4EkZxf7+g5WFkIj5igs+lHf0Qr1alujvqM16jlaiReZNnf0OeGLVPMod/Pl5eWFrKysqqiFEEIIkQ6VSjj0MDAQWLUKWL4cOHcO6NsX+OYb4TFCOGBvaYEWdR3Qoq5Dkcd0egMS0vPEZizugbDn7M6DHMSn5eJBdj7Sc7VIv6stdsl8AHCxU6OeoxXqOVqjbi2rR38X7tek5oyQsih38/XJJ59gxYoV6N+/P610SAghhNjaAp9+Klys+fPPga1bgWHDHj+u1wMSugYNqVmUCrmwN6u2NToV83i2Rof4tJxHKzDmiH+/kybsPcvO1yM5U4PkTA0i4h4W+x7OtirUrWWFuoUatIL7dR2t6LBGUqOU+5yvDz/8EPv370dubi66d+8OJycn4xeUyfDVV19VapE84umcL4PBgPj4eNSvX19yK76YI8qDP5QJf8w6k5wcoPAvJ/v3F5aunz8fqFvXdHWVwqzzkCgpZMIYQ3quFnfShGZM+PPx3wuas6exs1SKe8zq1Hp8q1vLEnVqWcHVzhIKDhYEkUImNQlveVTZghtPm5xMJoNe//QPmtTx1HwRQgjhVEQE0Lat8HdLS2DyZGDmTMDR0bR1EVINjJuzXNx9mIu7abm4+zBH/Htajvapr6OUy+Bmb4m6taxQ51FD5lHLCnUcLOHhIIw5WFlAJqHzLIn5qbLmiwh4ar50Oh2OHTuGrl27crHaS01HefCHMuFPjcrkn3+AWbOAEyeE+7VqAbNnA5MmAVZWJi2tQI3KQyJqSibZGh3uPczFnUfNWEJ6Lu49zMPdh7m49zAXiel50Bme/qOqtUoBD4dHjVmhpszDQbjv7mAJu2c8vLGmZCIVvOVRZasdEv4wxpCZmSm51V7MFeXBH8qEPzUqk86dgWPHgP37habr0iVh79dXXwEHDwLNmpm6wpqVh0TUlExs1Eo0cbNDEze7Yh/XGxiSMvNw72Ee7j1qyITGLA8J6blISM/Dg+x85OTrcSM5GzdKWLERAGzVSrERE/4U9p65F9zsS9+DVlMykQqp5lHh5uvQoUM4dOgQUlNT4ezsjJ49e6JHjx6VWRshhBBiHmQyYNAg4fyvbduECzNbWAjXByOElEghlz3ae2UFf6/iD9fN0+qRkJ6HhIe5uJcuNGkFe9AS04UmLSNPhyyNDteSsnAtqeRVuy0t5HC3t4SbvdCguT1qyjwcLOFkrcRDjbBCJF1TnVRUuZuv/Px8vPrqqwgODgZjDEqlEjqdDkuWLMHAgQOxa9cuWNB3JCGEEFKUQgG8+aawGuKtWxB/gsvPB0aNElZMpF9kElIulhYKNHC2QQNnmxK3ydbokJghNGMFhzMmFLp/PyMPaTla5GkNuJWag1upOSW8khJBEQfhbKuGm71abNTc7IUmzdVeDXcHS7jZWaKWNZ2HRooq9zlfc+fOxbJly7B48WIEBgbCxcUFycnJ2LJlC+bMmYMZM2bgs88+q6p6ucHTOV8GgwEpKSlwdnbmYrWXmo7y4A9lwh/K5Alr1wIffCD8vU8f4ULNBQt1VAPKgz+USfXL0+px/1FDlpiRh/sZeUhIzxPHEtLzkJSpgb4M56ABgEohh4ud0KQVNGjCfUu42asfXRhbTU1aBfH2GamyBTcaNWqE0aNHIygoqMhjQUFB+PHHH3Hz5s1yFyw1PDVfhBBCJO7+fWDxYuD//g/QPlr9bdgwYNEiOjSREI4YDAyp2fm4/6g5u5+hQWJGHpIyCho2De5nCOehlVVBk+Zip4arnRquhRqzwn+vbaOCUmH6JoMUr8qaL7VajeDgYPTs2bPIY4cOHcKAAQOg0WjKX7HE8NR8abVahISEoE+fPnTIJwcoD/5QJvyhTEpw86ZwPtjPPwOMAUolMG6csDhHFX6dKA/+UCb8KU8m+ToDkrOERiypUFN2P0ODpMw8JD1q2tJzn77UfgGZDHCyUcHFTtiD5mL7uGFzKXRztlXD3lJp9nvTePuMVNlqhy4uLrh48WKxzdfFixfh4uJS3pcklUCn05m6BFII5cEfyoQ/lEkxGjYEtm4FPv4Y+OQTIDgYuHGjShuvApQHfygT/pQ1E5VSjrq1rFC3VumXk9Do9EjO1CApU4OkDA2SM/PEvycV/D1Tg9QsDQwMSMnKR0pWPq4kPP39XWzVcBabNJXRfedHTZqzrQq2auk2alL8jJS7+XrppZcwb948eHp64pVXXhHH//jjDwQFBWHkyJGVWiAhhBBS47RuLSxNf+wYULv24/GkJKE5mzBBuGgzIUTS1EoF6jlao56jdanb6Q0MD7LzHzVqeUjO1CA5SyM2bsmPbimZGmRqdMjXGYQLWT/MLUMNcrERE/5Uw9lO+LtToXEnGxVqWaugkEuzUeNFuZuvxYsX459//sHrr78OGxsbuLu74/79+8jKykLLli2xePHiqqiTEEIIqXm6djW+v2gR8M03wKpVwIIFwsqJHFxclBBStRRymXhYYXOUfrpLnlYvNmcp4p/5SM7Ke/SnBimPHsvO10NTjkZNLgNq2xQ0Zio42Qh/OtsK56Q52ajg9KhRc5L4XrWqUu5zvgBAo9Fg8+bNCAsLQ2pqKpycnNCzZ0+8+eabUKvVVVEnd3g656vgInN2dnb0Dc4ByoM/lAl/KJMK+uknYM4cID5euN+sGfD558CQIcIJIRVEefCHMuGPOWaSm68XGrEszaNDGoWmrPD91Ox8pGZpkJZT9vPTCqgUcjjZqoTG7FFTVvvRreDvwuNC81aec9V4y6PKFtwgAt6aL51OB6WSfrvAA8qDP5QJfyiTZ5CXB6xZIzRdDx4IYwEBwJIlRfeUlRHlwR/KhD81PROt3oC0bOGcs9RsoUFLfXQOWkqWBg+y88VG7UF2PnLy9eV+DwuFDI7Wjxu0gpujtdCkOVoLTZujjQqO1hawU8lhbaniIo9qa74yMjIQExMDFxcXeHl5PctLSQpPzZdWq0VwcDAGDBjAxWovNR3lwR/KhD+USSVITweWLxcOQczJASZNAr7+ukIvRXnwhzLhD2VSPrn5eqRmCw3a4z/zhSYtKx8PsoUm7UFOPh5k5SO7As0aACx95TkMa+9ducVXQKWvdrh//35s374dFhYWGDlyJHr16oW1a9dixowZyM0VjhF95ZVX8PPPP9M3JCGEEFLVHByEc8A++EC4KPPcuY8fi4kRzgVr2NB09RFCajQrlQL1VE9fTKRAnlYvNGOP9qClPfp74QbtQc7j8bScfBgY4GAprb6jTM3X/v37MXjwYKjVaqhUKmzduhXffvstJk2ahD59+qBVq1aIiIjA7t27sW7dOnz44YdVXTchhBBCAMDDo+ger0mTgLAw4L33hKbMzc00tRFCSBlZWihQp5YV6jxlef4CGk0+dv35Fzo3dqriyipXmS6TvWLFCvTs2RNpaWlIT0/HhAkTMHXqVLz77rv466+/sHTpUoSEhCAwMBBbtmyp6poJIYQQUpKcHOFPrRb49lugUSNg/nwgI8O0dRFCSCWSy2WwsRCaNikp0zlfrq6uWL9+PYYMGQIAuHPnDjw9PXHgwAH06dNH3C44OBijRo3Cg4ITgM0YT+d81fQTQHlDefCHMuEPZVINDh8GZs0CzpwR7js7Cyslvv8+8MTKxJQHfygT/lAmfOEtj7L2BmXa85WSkgJ3d3fxfsHfnZ2djbZzcnJCenp6Reolz6jgvDvCB8qDP5QJfyiTKtajB/Dvv8BvvwFNmwIpKcDUqcJy9cWgPPhDmfCHMuGLFPMoU/MFwKij5KG7JI/pdDqEhYVBp9OZuhQCyoNHlAl/KJNqIpMBr74KXL4MfP+9sBT9m28+fvz+feDRb48pD75QJvyhTPgi1TzKvNphdHQ0lEphc71eWAry6tWrRts8eZ8QQgghHFAqgXHjhFsBrRZ44QXA3R2yRYtMVxshhNQgZW6+AgMDi4yNHj3a6D5jjPaKEUIIIVJw7hxw5w5w/TqUL76I9s8/D3h6Am3amLoyQggxW2VqvjZt2lTVdZBnVLBXkvCB8uAPZcIfysTEOnQArl8HFi4E27ABHmfOgPn7A6NHAwsXAl5epq6wxqPPCH8oE75IMY8yrXZIiuJptUNCCCHkmURHC9cD++034b5KJZwn1rixaesihBCJqNTVDgnfDAYDkpKSYDAYTF0KAeXBI8qEP5QJXwxNmiBpzRoYTp0SVkns2tW48aKcqh19RvhDmfBFqnlQ82UG9Ho9wsPDxYVQiGlRHvyhTPhDmfBFzKNtW+DgQWDPnscPJicDPj7CBZvz801XZA1DnxH+UCZ8kWoe1HwRQggh5DGZDLC1fXx/7Vrh3LBJkwBfX2DbNtoTRgghFUTNFyGEEEJK9sknwLp1gLs7EBsLjBolrIgYHAzQaeOEEFIu1HyZAZlMBjs7O1rmnxOUB38oE/5QJnwpNQ8LC2D8eGHv1+LFgL09cOECMHAg0KcPILFDfqSCPiP8oUz4ItU8aLXDCqLVDgkhhNRIqanAkiXAN98AY8cK54IRQkgNR6sd1iAGgwG3b9+W3Gov5ory4A9lwh/KhC/lysPJCVi+HLh2DZg///F4ZCTwzjtAfHyV1VmT0GeEP5QJX6SaBzVfZkCv1yMyMlJyq72YK8qDP5QJfygTvlQoj/r1AReXx/c/+QTYuBFo0gSYPl3YQ0YqjD4j/KFM+CLVPKj5IoQQQsizmzcP6NYN0GiAlSuBhg2Fc8Sys01dGSGEcIOaL0IIIYQ8u44dgbAwYRXE1q2BjAxg7lzhYs0//WTq6gghhAvUfJkBmUwGFxcXya32Yq4oD/5QJvyhTPhSaXnIZED//sC5c8L1wBo0ABITgYcPK6XOmoQ+I/yhTPgi1TxotcMKotUOCSGEkKfIzwd+/BF4801ApRLGDh4Urg/Wu7dpayOEkEpEqx3WIHq9HlevXpXcCYfmivLgD2XCH8qEL1WWh0olLEdf0HhptcCECcL1wXr1As6cqdz3MyP0GeEPZcIXqeZBzZcZMBgMiI6OltxSm+aK8uAPZcIfyoQv1ZaHRiNcnFmlAg4dAtq3B15/HYiOrtr3lSD6jPCHMuGLVPOg5osQQggh1cPWFli1Smi23nxTOEfst9+A554D3n0XuHvX1BUSQkiVouaLEEIIIdXL2xvYsgW4cAEYPBjQ64H164HLl01dGSGEVClqvsyAXC6Hp6cn5HKKkweUB38oE/5QJnwxWR4tWgB79wLHjwPTphkvwhEeDuTmVm89HKHPCH8oE75INQ9a7bCCaLVDQgghpIqkpAgXabazA4KCgLfeApRKU1dFCCElotUOaxC9Xo+IiAjJrfZirigP/lAm/KFM+MJdHrGxQO3awL17wrlgLVoAu3YJS9TXENxlQigTzkg1D2q+zIDBYEBcXJzkVnsxV5QHfygT/lAmfOEuj+efFxblWL0acHYW/v7aa0CHDsDhw6aurlpwlwmhTDgj1Tyo+SKEEEIIf9RqYPJk4MYNYP58wMZGuC5Y377AnTumro4QQiqEmi9CCCGE8MveXjjv68YNYNIk4IMPgHr1Hj+elGSy0gghpLyo+TIDcrkcPj4+klvtxVxRHvyhTPhDmfBFEnm4uQFffy1cJ6zAhQtA/frA++8DCQmmq60KSCKTGoYy4YtU86DVDiuIVjskhBBCTGzhQuGQRACwtgamTAFmzAAcHExaFiGk5qHVDmsQnU6HkydPQqfTmboUAsqDR5QJfygTvkg2j3nzgCNHgI4dgZwc4PPPhSXqV64E8vJMXd0zkWwmZowy4YtU86DmywwwxpCcnAzaickHyoM/lAl/KBO+SDqPbt2AkyeBPXuAZs2ABw+A6dOBzp0lvTS9pDMxU5QJX6SaBzVfhBBCCJE2mQwYOhS4eBHYuFE4D+zNN4VxQGjCJPYDGiHEPFHzRQghhBDzoFAAb70FxMQIi3AU2L0b6NQJOHrUdLURQghqePO1du1aNGjQAJaWlvD398fx48dNXVKFKBQK+Pn5QaFQmLoUAsqDR5QJfygTvphdHpaWgEol/J0x4VywU6eAF18EBgwAzp83aXllYXaZmAHKhC9SzaPGrnb4yy+/YPTo0Vi7di06d+6M7777Dj/88AOioqLg6en51OfTaoeEEEKIRCQkAJ99BqxfD+h0wuGII0YIqyU2bGjq6gghZoBWO3yKL7/8Eu+88w7Gjh2LZs2aYfXq1ahfvz7WrVtn6tLKTafT4fDhw5Jb7cVcUR78oUz4Q5nwxezz8PAA1q4FrlwBhg8X9oZt2wb4+hpfN4wjZp+JBFEmfJFqHkpTF2AK+fn5OHv2LGbNmmU03qdPH5w8ebLY52g0Gmg0GvF+RkYGAECr1UKr1QIQLvamUCig1+thMBjEbQvGdTqd0YosCoUCcrm8xPGC1y2gVApxPflNxhhDZmYm8vPzjV7HwsICBoMBer1eHJPJZFAqlSWOl1R7dc+ppHEpzKmkPKQ8J6nnVFwmUp+T1HPSarVGmZjDnKScU0l5SHlOxdbeuDF0P/0ENnUqFHPnQh4aCoOvL+QAd3PKz88XM5HJZGb7vSelORV8TnQ6XalzldKcnqxdSnMqyEOr1XIxpycfL0mNbL5SUlKg1+vh5uZmNO7m5obExMRin/PFF19gwYIFRcZDQkJgbW0NAPD09ESbNm1w4cIFxMXFidv4+PjA19cXp0+fRnJysjju5+cHLy8vHDt2DJmZmeJ4QEAAXF1dERISYvTN2L17d1hZWSE4ONioht69ewMAQkNDxTGlUomBAwciJSUF4eHh4ridnR169OiB+Ph4REZGiuMuLi7o1KkTrl27hujoaHHcVHMaMGAAcnNzERYWJrk5denSpUgeUp+T1HNydHQEYJyJ1Ock9ZwKftFVkIk5zEnKOZ07d84oD3OY01Nz+uAD1OrTB83atoUrhP/P6+/dC5lOh1v9+6Nbnz5czCk0NNSsv/ekOKfLly/D39/frOYk5ZzOnTuHzp07m3xOOTk5KIsaec7XvXv3ULduXZw8eRIBAQHi+OLFi/HTTz/h6tWrRZ5T3J6v+vXrIyUlRTyu05R7vv766y/07t0bFhYW4nhN/U2IqedUUh5SnpPUc9Lr9QgODjbKROpzknpOubm5CAkJETMxhzlJOaeS8pDynMqdU2IilD4+kGVkgHl6AgsWAKNGQffEj0nVNSeNRoPQ0FD07t0barXabL/3pDQnrVaL0NBQ9O3bF5aWlmYxpydrl9KcCvLo8+gXJaaeU0ZGBpydnZ96zleNbL7y8/NhbW2NnTt34uWXXxbHJ0+ejMjISBwtw1K0PC24YTAYkJKSAmdnZ8jlNfY0Pm5QHvyhTPhDmfCF8oCwEMemTUBQEHDvnjDWooWwUuKgQY+vGVZNKBP+UCZ84S0PWnCjFCqVCv7+/kUOCwsNDUWnTp1MVFXFyeVyuLq6cvGNRygPHlEm/KFM+EJ5AFAqgXHjgGvXgKVLgVq1gEuXgJdeArp0ES7gXI0oE/5QJnyRah7SqrYSffTRR/jhhx+wceNGXLlyBVOnTkVcXBzGjx9v6tLKTavVYv/+/WU+0Y9ULcqDP5QJfygTvlAehVhbAzNmADdvArNmAVZWwjXC1OpqLYMy4Q9lwhep5lEjF9wAgGHDhiE1NRULFy5EQkICWrRogeDgYHh5eZm6tAqR2jKb5o7y4A9lwh/KhC+UxxMcHYEvvgAmTgSOHAGaNn382Pr1QO/egLd3lZZAmfCHMuGLFPOosXu+AGDChAm4desWNBoNzp49i65du5q6JEIIIYTwpG5dYOTIx/cvXgTeew/w8QGmTAEKrZZGCCFPU6ObL0IIIYSQclEogO7dgfx84KuvgIYNhZURCy1NTQghJamRqx1WBp5WOyy4gKydnR1k1bwaEymK8uAPZcIfyoQvlEc5MQYcPCicE/boGmlwcQE+/VTYK6ZSVcJbUCa8oUz4wlsetNphDWNlZWXqEkghlAd/KBP+UCZ8oTzKQSYTzvk6cwbYsQNo3Fg4/HDBAiAvr9LehjLhD2XCFynmQc2XGdDpdAgODpbkSYfmiPLgD2XCH8qEL5RHBcnlwLBhQFQUsG4dsGwZUPAbb8aAY8eEPyuAMuEPZcIXqeZBzRchhBBCyLOwsADGjwfefvvx2O+/A926AS++KCxVTwghoOaLEEIIIaTyxcUJ1wY7dgwICABefhm4csXUVRFCTIyaL0IIIYSQyjZ5MnDtmrA3TC4X9oS1aCHcj483dXWEEBOh1Q4riLfVDnU6HZRKJRervdR0lAd/KBP+UCZ8oTyqWFQUMHcusGePcL99e+Dff0t9CmXCH8qEL7zlQasd1jC5ubmmLoEUQnnwhzLhD2XCF8qjCjVvDuzeDYSHC+eBzZ//+LHcXCA7u9inUSb8oUz4IsU8qPkyAzqdDmFhYZJb7cVcUR78oUz4Q5nwhfKoJh07AmFhQP/+j8e++kpYqn7dOkCrFYcpE/5QJnyRah7UfBFCCCGEVBeZTLgBwjL0O3cCiYnAhAnCHrJffgEMBtPWSAipMtR8EUIIIYSYgkwmHIr4zTeAqytw/TowfDjw/POQHTxo6uoIIVWAmi8zoVQqTV0CKYTy4A9lwh/KhC+Uh4moVMDEiULjtWABYGcHnDsH5YAB8N2509TVkSfQ54QvUsyDVjusIJ5WOySEEEKImUhOBj7/HPj+e+DcOcDHRxhn7PHhioQQ7tBqhzWIwWBAUlISDHSMOBcoD/5QJvyhTPhCeXDExQVYtQqG+HgkOTo+zuTdd4Xb3bumra8Go88JX6SaBzVfZkCv1yM8PBx6vd7UpRBQHjyiTPhDmfCF8uCP3s7ucSZxccDGjcD69cLKiDNnAmlppi6xxqHPCV+kmgc1X4QQQgghPPP0BI4eBTp3BvLygGXLgIYNgaVLgZwcU1dHCCkHar4IIYQQQnj3wgvA8ePAn38CLVoADx8Cs2YBTZoAZ86YujpCSBlR82UGZDIZ7OzsIKMTcblAefCHMuEPZcIXyoM/xWYikwGDBgGRkcCWLYCXl7AnrGlTk9VZk9DnhC9SzYNWO6wgWu2QEEIIISal0QCXLwNt2wr3GQPefx94/XWgZ0/T1kZIDUOrHdYgBoMBt2/fltxqL+aK8uAPZcIfyoQvlAd/ypSJWv248QKEQxK/+w7o1Qvo00dYqp5UGvqc8EWqeVDzZQb0ej0iIyMlt9qLuaI8+EOZ8Icy4QvlwZ8KZdKhg3DBZgsLIDQU8PcHhg8XLuBMnhl9Tvgi1Tyo+SKEEEIIMQdubsA33wBXrwIjRghjv/wCNGsmHI6YlWXa+ggh1HwRQgghhJiVhg2BbduAiAigf39ApwNOnACsrExdGSE1ntLUBZBnJ5PJ4OLiIrnVXswV5cEfyoQ/lAlfKA/+VEomfn5AcLBwjTC5HFAohPHcXOCHH4Bx4wBLy0qptyagzwlfpJoHrXZYQbTaISGEEEIkadkyYOZMoF49YMEC4M03ASX9Pp6QZ0GrHdYger0eV69eldwJh+aK8uAPZcIfyoQvlAd/qjQTT0+h8bpzB3jnHaBVK2DPHmGpelIi+pzwRap5UPNlBgwGA6KjoyW31Ka5ojz4Q5nwhzLhC+XBnyrNZPhwICYGWLECqF0buHIFeOUVoFMn4RBFUiz6nPBFqnlQ80UIIYQQUtNYWQHTpgE3bgCffCLcP3UK+OorU1dGiFmj5osQQgghpKaqVQtYvFhowsaPF/5eICEBuHnTZKURYo6o+TIDcrkcnp6ekMspTh5QHvyhTPhDmfCF8uBPtWfi4QGsWydcE6zA3LmAry8waRJw/3711MEx+pzwRap50GqHFUSrHRJCCCHEbOn1wEsvCUvVA4CNDfDRR8D06QD93ENIEbTaYQ2i1+sREREhudVezBXlwR/KhD+UCV8oD/6YPBOFAti/Hzh0CHj+eSA7G/jsM6BRI2D1akCjMU1dJmTyTIgRqeZBzZcZMBgMiIuLk9xqL+aK8uAPZcIfyoQvlAd/uMmkRw/g33+B334DfHyAlBRg6lRhpcQahptMCADp5kHNFyGEEEIIKZlMBrz6KnDpErB+PdCyJfDBB48fT0uja4QRUkbUfBFCCCGEkKdTKoGxY4Hz54VVEgGh6Ro8GOjSBThxwqTlESIF1HyZAblcDh8fH8mt9mKuKA/+UCb8oUz4Qnnwh+tMZLLHf4+JAc6eBf75R2jABg8GLl40XW1ViOtMaiCp5kGrHVYQrXZICCGEEALg7l1g4UJgwwZhlUSZDBg9Whjz8jJ1dYRUC1rtsAbR6XQ4efIkdDqdqUshoDx4RJnwhzLhC+XBH0llUrcu8N13wOXLwGuvCYci/vgj0LQpcPq0qaurNJLKpAaQah7UfJkBxhiSk5NBOzH5QHnwhzLhD2XCF8qDP5LMxMcH2LlTaLh69ACaNAH8/R8/LqW5FEOSmZgxqeZBzRchhBBCCKk8zz8vXB/s2DHhemEAkJsrjH/zDZCfb9r6CDEhar4IIYQQQkjlq1378d83bxYW5vjwQ8DXF9i2DZDY9ZkIqQzUfJkBhUIBPz8/KAp+u0RMivLgD2XCH8qEL5QHf8wuk7FjgbVrAXd3IDYWGDUKaNMGCA6WzOGIZpeJxEk1D1rtsIJotUNCCCGEkHLKzga++gpYuhTIyBDGunUD/voLsLIybW2EPANa7bAG0el0OHz4sORWezFXlAd/KBP+UCZ8oTz4Y7aZ2NgAn3wC3LwJTJ8OqNXCBZsl0HiZbSYSJdU8qPkyA4wxZGZmSm61F3NFefCHMuEPZcIXyoM/Zp+JkxOwfDlw7RqwevXj8Tt3gHffBeLjTVZaScw+E4mRah7UfBFCCCGEENOoXx/w9n58f+FCYP16YZn66dOB1FSTlUZIVaDmixBCCCGE8OHtt4VzwDQaYOVKoGFD4PPPhXPFCDEDtOBGBfG04IbBYEBKSgqcnZ0hl1M/bWqUB38oE/5QJnyhPPhTozNhDDhwAJg9Gzh/XhhzdwcWLxaaMxOp0ZlwiLc8aMGNGkQul8PV1ZWLbzxCefCIMuEPZcIXyoM/NToTmQzo3x84d064HliDBkBiIhATY9KyanQmHJJqHtKqlhRLq9Vi//790Gq1pi6FgPLgEWXCH8qEL5QHfygTAHI5MGIEcPUqsGYNMHPm48fOnQNCQqr1GmGUCV+kmgc1X2ZCastsmjvKgz+UCX8oE75QHvyhTB5RqYAJEwBHR+E+Y8CUKUDfvkCvXsCZM9VWCmXCFynmQc0XIYQQQgiRDq0W8PcXmrLDh4H27YHXXweio01dGSFPRc0XIYQQQgiRDpUKWLVKaLbGjBHOEfvtN+C554RrhN29a+oKCSkRrXZYQTytdlhwkTk7OzvIZDKT1kIoDx5RJvyhTPhCefCHMimHS5eATz4B/vxTuL9hQ5WsikiZ8IW3PGi1wxrGysrK1CWQQigP/lAm/KFM+EJ58IcyKaMWLYC9e4ETJ4Q9YW+++fixixeBnJxKeyvKhC9SzIOaLzOg0+kQHBwsyZMOzRHlwR/KhD+UCV8oD/5QJhXQuTOweTOgVAr38/KAgQOBJk2A9euBZ/xaUiZ8kWoe1HwRQgghhBDzc/OmsFz9vXvCuWDPPSecG0Zn3BATouaLEEIIIYSYn+bNhUU5Vq8GnJ2FizS//jrQoYOwSiIhJkDNFyGEEEIIMU9qNTB5MnDjBjBvHmBjI1wXrGdP4XwwQqqZ2a126O3tjdu3bxuNzZw5E0uWLBHvx8XF4YMPPsDhw4dhZWWFESNGYMWKFVCpVGV+H95WO9TpdFAqlVys9lLTUR78oUz4Q5nwhfLgD2VSRe7fBxYvBhISgJ07H4+npwMODqU+lTLhC295lLU3UFZjTdVm4cKFGDdunHjf1tZW/Lter8fAgQPh4uKCEydOIDU1FWPGjAFjDN98840pyq0Uubm5sLOzM3UZ5BHKgz+UCX8oE75QHvyhTKqAmxvw9dfG533dvSscojhyJPDpp4CHR4lPp0z4IsU8zPKwQzs7O7i7u4u3ws1XSEgIoqKisHXrVrRp0wa9evXCypUrsX79emRkZJiw6orT6XQICwuT3Gov5ory4A9lwh/KhC+UB38okypWeE/J7t1ARgawbh3QuDEwZ46wJ+wJlAlfpJqHWe75Wrp0KT777DPUr18fr7/+Oj7++GPxkMLw8HC0aNECderUEbfv27cvNBoNzp49i+7duxf7mhqNBhqNRrxf0KhptVpotVoAgFwuh0KhgF6vh8FgELctGNfpdCh8lKdCoYBcLi9xvOB1CygfLZ365DdZwXOf3N7CwgIGgwF6vV4ck8lkUCqVJY6XVHt1z6mkcSnMqaQ8pDwnqedUoPC8pD4nc8gJeJyJucxJyjkBRfOQ+pyknFNBPVqt1mzmxG1O778PZevWYDNnQnbqFPD552D/938wzJoFxaRJ0D96TsF76/V6WFhY8D0nc8zpiTkVvIdOpys1j+qa05OPl8Tsmq/Jkyejbdu2cHR0xOnTpzF79mzExsbihx9+AAAkJibCzc3N6DmOjo5QqVRITEws8XW/+OILLFiwoMh4SEgIrK2tAQCenp5o06YNLly4gLi4OHEbHx8f+Pr64vTp00hOThbH/fz84OXlhWPHjiEzM1McDwgIgKurK0JCQoy+Gbt37w4rKysEBwcb1dC7d28AQGhoqDimVCoxcOBApKSkIDw8XBy3s7NDjx49EB8fj8jISHHcxcUFnTp1wrVr1xAdHS2Om2pOAwYMQG5uLsLCwiQ3py5duhTJQ+pzknpOjo6OAIwzkfqcpJ7TyZMnATzOxBzmJOWczp07Z5SHOczJXHIKDQ01uzkBfOYUt307Er//Hs22boV9fDwUM2YA69fj2q5diL55U9z+8uXL8Pf3l8SczDGnJ+d07tw5dO7c2eRzyinjxbwlseBGUFBQsY1PYWfOnEG7du2KjO/atQuvvfYaUlJS4OTkhHfffRe3b9/G33//bbSdSqXCjz/+iOHDhxf7+sXt+apfvz5SUlLEk+pMuecrJCQEPXr0gIWFhTheU38TYuo5lZSHlOck9Zz0ej3+/vtvo0ykPiep55Sbm4tDhw6JmZjDnKScU0l5SHlOUs9Jo9Hg8OHD6NGjB9RqtVnMSTI56fWQbd0KxcKFkA0bBv2SJeKer8OHDqFX796wtLSU1pyeGDeHnLRaLQ4fPoyePXvCysrK5HPKyMiAs7PzUxfckETzlZKSgpSUlFK38fb2hqWlZZHxu3fvol69ejh16hQ6dOiAefPm4Y8//sD58+fFbdLS0lC7dm0cPny4xMMOn8TTaoeEEEIIIaSS5eUBWi1QsKDDqVPARx8BX3wBdOtm2toId8xqtUNnZ2c4OztX6LkREREAAI9HK9cEBARg8eLFSEhIEMdCQkKgVqvh7+9fOQU/Uvh41KpkMBiQlpYGR0dHyOVmuYaKpFAe/KmqTFQqFWVcQQaDASkpKXB2dqavIQcoD/5QJhywtBRuj7CgIMjCw4EXXwT69xeasNatTVdfDSfVz4gk9nyVVXh4OE6dOoXu3bvDwcEBZ86cwdSpU9GuXTv88ccfAISGyM/PD25ubli+fDkePHiAwMBADB06tFxLzZfW3TLGkJiYiIcPH1bm9ErEGENubi6srKy4uM5BTUd58KeqMpHL5WjQoEG5rhFIBFqtFsHBwRgwYIDR4bnENCgP/lAm/NHGxeHOe+/B++BByHQ6YcXEESOAhQuBhg1NXV6Nw9tnxKz2fJWVWq3GL7/8ggULFkCj0cDLywvjxo3DjBkzxG0UCgX279+PCRMmoHPnzkYXWa4sBY2Xq6srrK2tq/wHcIPBgKysLNja2kqq8zdXlAd/qiITg8GAe/fuISEhAZ6entRoE0KIufPwwIXx41Hvyy9hsXAhsGMHsG0b8OuvwvXBPv3U1BUSCTCr5qtt27Y4derUU7fz9PTEvn37qqQGvV4vNl5OTk5V8h5PMhgMyM/Ph6WlJf2wzwHKgz9VlYmLiwvu3bsnLnNLCCGkBmjcGNi+Hfj4Y2D2bCAkpNQLMxNSmFk1XzwoOMerYPn56iCTySCXy+k375ygPPhTVZkUHG5YcM0XUnYymQx2dnb0OeEE5cEfyoQ/RTJp2xb4+2/g+HEgIODxhr/9Bty5A7z/PqBWm6bYGkCqnxGzOuerOpV0XGdeXh5iY2PRoEGDYldfJISYD/q8E0IIMZKXB/j4AHFxgJeXcD7YyJGAQmHqykgVK+s5X3RMlBlgjEGj0YD6aD5QHvyhTPhjMBhw+/Zto2uvENOhPPhDmfCnTJkolcDcuUDdusDt28CYMYCfH/DnnwD9H1SppPoZoebLDBSs5Cb1Hyy9vb2xevXqSn/dgtUsq0txeWzYsAF9+vSpthqexfPPP4/du3ebuoxKZS6fEXOi1+sRGRlpdAFNYjqUB38oE/6UKROlEhg3Drh2DVi6FKhVC7h0CXjpJaBLF+DcuWqr19xJ9TNCzRcRBQYGQiaTiTcnJyf069cPFy5cMHVpAICgoCCxNoVCgfr162Ps2LFITk4u9XlfffUVNm/eXD1FFkOj0WDevHn4tNAqSIXnUvjm6+tbbXVt3rwZtWrVKjL+6aefYtasWZL7TRIhhBDCDSsrYMYM4OZNYOZM4Xph//wD5OSYujJiYtR8ESP9+vVDQkICEhIScOjQISiVSgwaNMjUZYmee+45JCQkIC4uDuvWrcOff/6JN998s9ht9Xo9DAYDHBwcim0yqsuuXbtga2uLLl26GI0XzKXw7cSJEyaq8rGBAwciPT0df//9t6lLIYQQQqTN0RFYsgS4fh345hvghRceP7Zrl3BoIqlRqPmqBowx5OTrquyWq9Uj3yBDrlZf5LHyHmalVqvh7u4Od3d3+Pn5YebMmYiPjzfau3Tx4kX06NEDVlZWcHJywrvvvousrCzx8YLD/FasWAEPDw84OTnhgw8+EFeCBICkpCQMHjwYVlZWaNCgAbZt21am+pRKJdzd3VG3bl0MGjQIH374IUJCQpCbmyvuydm3bx+aN28OtVqN27dvFzns0GAwYOnSpWjcuDHUajU8PT2xePFi8fG7d+9i2LBhcHR0hJOTE4YMGYJbt26Jjx85cgTt27eHjY0NatWqhc6dO+N2oX88ZTIZlEqluPrOjh078NJLL5U4l8I3Z2dnAMDVq1dhbW2Nn3/+Wdx+9+7dsLS0xMWLFwEAZ86cQe/eveHs7AwHBwd069YN5544nOHhw4d499134ebmBktLS7Ro0QL79u3DkSNH8NZbbyE9PV3c6xYUFARAuBbegAEDsH379jJlIgVPZkJMTyaTwcXFhTLhBOXBH8qEP8+USd26wMSJj+8nJACjRwNNmwJTpwIpKZVXaA0h1c8ILTVfDXK1ejSfZ5q9CFEL+8JaVbGYs7KysG3bNjRu3Fi8ZllOTg769euHjh074syZM0hKSsLYsWMxceJEo0P7wsLC4OHhgbCwMFy/fh3Dhg2Dn58fxo0bB0Bo0OLj43H48GGoVCp8+OGHSEpKKneNVlZWMBgM0Ol0Yn1ffPEFfvjhBzg5OcHV1bXIc2bPno3169dj1apVeOGFF5CQkICrV6+Kz+/evTu6dOmCY8eOQalUYtGiReLhl3K5HEOHDsW4ceOwfft25Ofn4/Tp00YffJlMBltbW/H+8ePHMXLkyHLNy9fXFytWrBAvBm5hYYFx48ZhyZIlaNmyJQAgMzMTY8aMwddffw0AWLlyJQYMGIBr167Bzs4OBoMB/fv3R2ZmJrZu3YpGjRohKioKCoUCnTp1wurVqzFv3jxER0cDgFHN7du3x7Jly8pVM8+ezISYnlKpRKdOnUxdBnmE8uAPZcKfSs0kO1tYnv7wYWD1amDDBuG6YVOnAvT/VZlI9TNCzRcxsm/fPvGH1OzsbHh4eGDfvn3ihWm3bduG3Nxc/Pjjj7CxsQEAfPvttxg8eDCWLl0KNzc3AICjoyO+/fZbKBQK+Pr6YuDAgTh06BDGjRuHmJgY/PXXXzh16hQ6dOgAQFiQolmzZuWq9erVq1i3bh3at28POzs7AMJ11tauXYvWrVsX+5zMzEx89dVX+PbbbzFmzBgAQKNGjfDCo8MAduzYAblcjh9++EFsqDZt2oRatWrhyJEjaNeuHdLT0zFo0CA0atQIAIrUzRhDXl4eLC0tkZ6ejocPH6JOnTpFarl48WKRhmD48OH44YcfAAATJkxAcHAwRo8eDZVKBX9/f0yePFnctkePHkbP/e677+Do6IijR49i0KBBOHjwIE6fPo0rV66gadOmAICGDRuK2zs4OEAmk8Hd3b1IbXXr1kVcXBwMBoNZXCi6cCZS+w2ZudLr9bh27RqaNGkCBS3BbHKUB38oE/5UaiaNGwMHDwKhocCsWUBEBDBvHvDtt8CnnwLvvgs8upYkKZ5UPyPUfFUDKwsFohb2rbLXNxgMyMzIhJ29XZEflK0syvfN2L17d6xbtw4A8ODBA6xduxb9+/fH6dOn4eXlhStXrqB169Zi4wUAnTt3hsFgQHR0tNh8Pffcc0YfBA8PD/FwuStXrkCpVKJdu3bi476+vmU6L6ugYdHr9dBoNHjxxRfx/fffi4+rVCq0atWqxOdfuXIFGo0GPXv2LPbxs2fP4vr162IzVyAvLw83btxAnz59EBgYiL59+6J3797o1asX3njjDXgUurJ9wbLmarUaubm5AFDsNaB8fHywd+9eo7En33fjxo1o2rQp5HI5Ll26ZNQ4JCUlYd68eTh8+DDu378PvV6PnJwcxMXFAQAiIyNRr149sfEqj4I9ihqNBlZWVuV+Pm8KZ0LNFx8K/s1o1KiRpP7TNFeUB38oE/5UeiYyGdCnD9CrF7Bzp7BE/fXrwPTpwuqInp7P/h5mTKqfEWq+qoFMJqvwoX9lYTAYoFMpYK1SPvNeChsbGzRu3Fi87+/vDwcHB6xfvx6LFi0CY6zEH14Lj1tYWBR5rGD1vILz0CryQ3BBw6JQKFCnTh2on7hyvJWVVamv+7RGwmAwwN/fv9hz0FxcXAAIe8I+/PBDHDhwAL/88gvmzp2L0NBQdOzYschznJycIJPJkJaWVuQxlUpl9LUuzvnz55GdnQ25XI7ExESjPWiBgYFITk7G6tWr4eXlBbVajYCAAOTn55dprqV58OABrK2tzaLxIoQQQrgmlwPDhgGvvCIcfpiWZtx4nTsHtGkjNGtE8qR/PBGpUjKZDHK5XNyD07x5c0RGRiI7O1vc5p9//oFcLi/zHpZmzZpBp9Phv//+E8eio6Px8OHDpz63oGFp0KBBkcarLJo0aQIrKyscOnSo2Mfbtm2La9euwdXVFY0bNza6OTg4iNu1adMGs2fPxsmTJ9GiRQujhTGerLd58+aIiooqd60PHjxAYGAg5syZg7feegsjR44UcwCEc8k+/PBDDBgwAM899xzUajVSCp2w26pVK9y5cwcxMTEl1lbStTEuXbqEtm3blrtmQgghhFSQhQUwfjwwe/bjsdOnAX9/oHt34NQp09VGKg01X2ZAJpNBpVJVyuFUGo0GiYmJSExMxJUrVzBp0iRkZWVh8ODBAICRI0fC0tISY8aMwaVLlxAWFoZJkyZh9OjR4iGHT+Pj44N+/fph3Lhx+Pfff3H27FmMHTu2WvayWFpaYubMmZgxYwZ+/PFH3LhxA6dOncKGDRsACPNzdnbGkCFDcPz4ccTGxuLo0aOYPHky7ty5g9jYWMyePRvh4eG4ffs2QkJCEBMTY3Te15N59O3bt9gl5HU6nfi1Lrjdv39ffHz8+PGoX78+5s6diy+//BKMMUyfPl18vHHjxvjpp59w5coV/Pvvvxg5cqTR17Bbt27o2rUrXn31VYSGhiI2NhZ//fUXDhw4AEC4qHVWVhYOHTqElJQU5BS69sjx48clc1HosqjMzwipHHK5HJ6enmZxTqE5oDz4Q5nwxySZXLgAqNXA0aPCAh0vvwxcuVJ9788xyX5GGKmQ9PR0BoClp6cbjefm5rKoqCiWm5trosoqbsyYMQyAeLOzs2PPP/88++2334y2u3DhAuvevTuztLRktWvXZuPGjWOZmZlGrzNkyBCj50yePJl169ZNvJ+QkMAGDhzI1Go18/T0ZD/++CPz8vJiq1atKrG++fPns9atW5f4+KZNm5iDg0Ox8ypcj16vZ4sWLWJeXl7MwsKCeXp6ss8//9yotjfffJM5OzsztVrNGjZsyMaNG8fS09NZYmIiGzp0KPPw8GAqlYp5eXmxefPmMb1eX2JdV65cYVZWVuzhw4dGcyn8tS64qdVqxhhjW7ZsYTY2NiwmJkZ8zn///cdUKhXbv38/Y4yxc+fOsXbt2jG1Ws2aNGnCdu7cWeRrmJqayt566y3m5OTELC0tWYsWLdi+ffvEx8ePH8+cnJwYADZ//nzGGGN37txhFhYWLD4+vsQ5EYGUP++EEEIkIi6OsbffZkwuZwwQ/nzrLWGccKOk3uBJMsbKeSEoAgDIyMiAg4MD0tPTYW9vL47n5eUhNjYWDRo0KHaRharAGENubu5Tz3ci1aO4PN544w3xUEXeffzxx0hPTzdayETqquozYorPu7nQ6/W4cOECWrVqJakTpc0V5cEfyoQ/Js8kKgqYMwf4/XfhfsOGwLVrwjljNZDJ83hCSb3Bk2pmWmaGMYb8/PxyX1CZVI3i8li+fLlkrjPl6uqKzz77zNRlVCr6jPDHYDCIlzMgpkd58Icy4Y/JM2neHNizBwgPB7p1A2bOfNx46fXCtcNqEJPnUUHUfBFSDby8vDBp0iRTl1EmH3/8cZnP3yOEEEJINevYEQgLA8aOfTy2fbtw7bB16wCt1nS1kaei5osQQgghhBApkcmMDzfcvBlITAQmTACaNQN27AAktkeopqDmywzIZDK6eCxHKA/+UCb8kcvl8PHxkd4qVWaK8uAPZcIfrjMJDga++QZwdQVu3AD+9z/g+eeBkBDATA+55zqPUtCCGxXE04IbhBDToM87IYQQrmRlAV9+CaxYAWRmCmNTpwpjpErRghs1CGMMWVlZtJgAJygP/lAm/NHpdDh58iR0Op2pSyGgPHhEmfBHEpnY2gLz5gl7v6ZMAVQqYMgQU1dVJSSRRzGo+TIDjDHodDr6wZITlAd/KBP+MMaQnJxMmXCC8uAPZcIfSWXi4gKsWgXExQkrIxZYsAB4913g7l3T1VZJJJVHIdR8EUIIIYQQYo4Kr1788CGwbBmwfr2wMuLMmUBamslKq6mo+SKEEEIIIcTc1aoF/P030LkzkJcnNGINGwJLlwI5Oaaursag5ssMyGQyWFlZVelKbi+++CKmTJlSZa9fHby9vbF69eoqf5/qyKOyHTlyBDKZDA8fPjTJ+1f195cUMzF3CoUCfn5+UCgUpi6FgPLgEWXCH7PI5IUXgOPHgb17gRYthL1hs2YBTZoAR46YurpykWoe1HyZgcpaRjswMBAymazI7fr169i9ezc+++yzZ67z999/L/P2W7ZsQfv27WFjYwM7Ozt07doV+/bte6YaqpqPjw/UajVSUlIk9YN+p06dkJCQAAcHhyp9n5KavMr4/ioNLTXPH7lcDi8vL8ktEWyuKA/+UCb8MZtMZDJg8GAgMhLYsgXw8gJSUoAGDUxdWblINQ9pVUuKxRhDRkZGpZxw2K9fPyQkJBjdGjRogNq1a8POzq7E5+Xn5z/zexc2ffp0vPfee3jjjTdw/vx5nD59Gl26dMGQIUPw7bfflvg8vV4PQxVdVFD7lCvGnzhxAnl5eXj99dfxf//3f9V2AujT6ioLlUoFd3d3kzUnT/v+elaV+RkhlUOn0+Hw4cOSW6XKXFEe/KFM+GN2mSgUwJtvAtHRQGio0IQVmD8fOHTIdLWVgVTzoOarOmVnl3zLyyv7trm5RpuyrCwYMjPBsrKMt6sAtVoNd3d3o5tCoShyWJi3tzcWLVqEwMBAODg4YNy4ccjPz8fEiRPh4eEBS0tLeHt744svvhC3B4CXX34ZMplMvF+cU6dOYeXKlVi+fDmmT5+Oxo0bo1mzZli8eDGmTJmCjz76CPHx8QCAzZs3o1atWti3bx+aN28OtVqN27dvIykpCYMHD4aVlRUaNGiAbdu2FXmf9PR0vPvuu3B1dYW9vT169OiB8+fPi48HBQXBz88PGzduRMOGDaFWq0v94X3Dhg0YMWIERo4cia1btxZpAr29vfHZZ59hxIgRsLW1RZ06dfDNN98YbSOTybBu3Tr0799frH3nzp3i47du3YJMJsOvv/6KF198EZaWluJ7LVy4EPXq1YNarYafnx8OHDgAQGg8evXqhX79+on1P3z4EJ6enpgzZw6AonukCn9dfXx8YG1tjddeew3Z2dnYsmULvL294ejoiEmTJkGv14v1bd26Fe3atYOdnR3c3d0xYsQIJCUlibV3794dAODo6AiZTIbAwEAARQ87TEtLw5tvvglHR0dYW1ujf//+uHbtmvh4QX1///03mjVrBltbW/EXB8VhjMFgMFDzxRHGGDIzMykTTlAe/KFM+GO2majVQNeuj++fOQMsXAj06gX06QOcO2e62koh1Tyo+apOtrYl31591XhbV9eSt+3f32hTWcOGqFWvHuT29sbbVbHly5ejRYsWOHv2LD799FN8/fXX2Lt3L3799VdER0dj69atYpN15swZAMCmTZuQkJAg3i/O9u3bYWtri/fee6/IY9OmTYNWq8WuXbvEsZycHHzxxRf44YcfcPnyZbi6uiIwMBC3bt3C4cOH8dtvv2Ht2rViEwAIH9iBAwciMTERwcHBOHv2LNq2bYuePXviwYMH4nbXr1/Hr7/+il27diEyMrLEmjMzM7Fz506MGjUKvXv3Rk5ODo4Uc+z08uXL0apVK5w7dw6zZ8/G1KlTERoaarTNp59+ildffRXnz5/HqFGj8L///Q9Xrlwx2mbmzJn48MMPceXKFfTt2xdfffUVVq5ciRUrVuDChQvo27cvXnrpJVy7dg0ymQxbtmzB6dOn8fXXXwMAxo8fDzc3NwQFBZU4p5ycHHz99dfYsWMHDhw4gCNHjuCVV15BcHAwgoOD8dNPP+H777/Hb7/9Jj4nPz8fn332Gc6fP4/ff/8dsbGxYoNVv359Mbfo6GgkJCTgq6++Kva9AwMD8d9//2Hv3r0IDw8HYwwDBgww2suXk5ODFStW4KeffsKxY8cQFxeH6dOnlzgfQgghhJSBlxcwaRJgYSHsEfP3B4YPB65fN3Vl5oGRCklPT2cAWHp6utF4bm4ui4qKYrm5uUWfBJR8GzDAeFtr65K37dbNaFODs3Px25XTmDFjmEKhYDY2NuLttddeY4wx1q1bNzZ58mRxWy8vLzZ06FCj50+aNIn16NGDGQyGYl8fANuzZ89T6+jXrx9r3bp1iY87ODiw999/nzHG2KZNmxgAFhkZKT4eHR3NALBTp06JY1euXGEA2KpVqxhjjB06dIjZ29uzvLw8o9du1KgR++677xhjjM2fP59ZWFiwpKSkp9b8/fffMz8/P8YYY3q9no0fP56NGDHCaBsvLy/Wr18/o7Fhw4ax/v37i/cBsPHjxxtt06FDB3G+sbGxDABbvXq10TZ16tRhixcvNhp7/vnn2YQJE8T7v/76K1Or1Wz27NnM2tqaRUdHi4+FhYUxACwtLY0x9vjrev36dXGb9957j1lbW7PMzExxrG/fvuy9994r8ety+vRpBkB8zpPvU6Dw91dMTAwDwP755x/x8ZSUFGZlZcV+/fXXEutbs2YNc3NzK7YOvV7P0tLSmF6vL7HWiij1805KlZ+fz37//XeWn59v6lIIozx4RJnwp8ZlcuMGYyNHMiaTCT9XKpWMjR/P2IMHpq6MMcZfHiX1Bk+iPV/VKSur5FuhPTkAgKSkkrf96y/jbWNjoU1LA8vMNN6uArp3747IyEjxVrCnpDjt2rUzuh8YGIjIyEj4+Pjgww8/REhISKnvFRcXB1tbW/H2+eefl6lGxpjRuUkqlQqtWrUS71+5cgVKpdKoPl9fX9SqVUu8f/bsWWRlZcHJycmohtjYWNy4cUPczsvLCy4uLk+tacOGDRg1ahQA4dDBMWPGYM+ePUUWlggICChy/8m9WmXZpvDcMjIycO/ePXTu3Nlom86dOxs97/XXX8crr7yCL774AitXrkTTpk1LnZO1tTUaNWok3ndzc4O3tzdsC+1VdXNzM9qjGBERgSFDhsDLywt2dnZ48cUXAQhZl1VBfh06dBDHnJyc4OPjYzSfJ+vz8PAwqqUwmUwGGxsbWnCDIwqFAgEBAZJbpcpcUR78oUz4U+MyadgQ2LoViIgABgwAdDrg998BlcrUlQGQbh5KUxdQo9jYVMm2MltbWFSgnOLf1gaNGzcu87aFtW3bFrGxsfjrr79w8OBBvPHGG+jVq5fRYWmF1alTx+hQvtq1awMAmjZtihMnTiA/Px+qJz7g9+7dQ0ZGBpo0aSKOPbmEOHt07G9pP2gbDAZ4eHgUe2hg4SbtyTkWJyoqCv/++y/OnDmDmTNniuN6vR7bt2/H+++/X+rzy9IQPLlNcXU9uc2TTWpOTg7Onj0LhUJhdP5USSwsjL+rZDJZsWMF57ZlZ2ejT58+6NOnD7Zu3QoXFxfExcWhb9++5VqQpSC/4sYLz6e4Wkp6bnG1E9OSy+VwdXU1dRnkEcqDP5QJf2psJq1bA/v3A8eOCRdlLvgZxGAANm0CRo4ELC2rvSyp5kF7vsyAwWDAw4cPq2yVv/Kwt7fHsGHDsH79evzyyy/YtWuXeA6VhYWF0eIMSqUSjRs3Fm8Fzdfw4cORlZWF7777rsjrr1ixAhYWFnj1yXPkCmnWrBl0Oh3+++8/cSw6OtpoL1Tbtm2RmJhYpIbGjRvD2dm5XHPesGEDunbtivPnzyMyMhLnzp3DsWPH8PHHH2PDhg1G2546darIfV9f33JvU5i9vT3q1KmDEydOGI2fPHkSzZo1E+9PmzYNcrkcf/31F77++mscPny4XPN8mqtXryIlJQVLlixBly5d4OvrW2RPVEEzXfj74EnNmzeHTqfDv//+K46lpqYiJibGaD7lwdNnhAi0Wi32799fKat1kmdHefCHMuFPjc+ka1dgyJDH93fsAMaOFa4RtnGjsGesGkk1D9rzRSrNqlWr4OHhAT8/P8jlcuzcuRPu7u7iniRvb28cOnQInTt3hlqthqOjY7GvExAQgMmTJ+Pjjz9Gfn4+hg4dCq1Wi61bt+Krr77C6tWrUb9+/RLr8PHxQb9+/TBu3Dh8//33UCqVmDJlCqysrMRtevXqhYCAAAwdOhRLly6Fj48P7t27h+DgYAwdOrTIIZUl0Wq1+Omnn7Bw4UK0aNECgPCDfkZGBpycnLB8+XKcP38erVu3BgD8888/WLZsGYYOHYrQ0FDs3LkT+/fvN3rNnTt3ol27dnjhhRewbds2nD59ukgT96SPP/4Y8+fPR6NGjeDn54dNmzYhMjJSXOVx//792LhxI8LDw9G2bVvMmjULY8aMwYULF0rMobw8PT2hUqnwzTffYPz48bh06VKRa3d5eXlBJpNh3759GDBgAKysrIwOYwSAJk2aYMiQIRg3bhy+++472NnZYdasWahbty6GFP5Hn0ie1JYHNneUB38oE/5QJoVYWgL16wPx8cA77wArVgCLFwNDhwrXEqsGUsyD9nyRSmNra4ulS5eiXbt2eP7553Hr1i0EBweLF79buXIlQkNDUb9+fbRp06bU11q9ejXWrl2LHTt2oGXLlvD398fRo0fx+++/Y9KkSU+tZdOmTahfvz66deuGV155RVxSvoBMJkNwcDC6du2Kt99+G02bNsXw4cNx69YtuLm5lXnOe/fuRWpqKl5++eUijzVp0gQtW7Y0apymTZuGs2fPok2bNvjss8+wcuVK9O3b1+h5CxYswI4dO9CqVSts2bIF27ZtQ/PmzUut48MPP8S0adMwbdo0tGzZEgcOHMDevXvRpEkTJCcn45133kFQUBDatm0LAJg/fz7q1KmD8ePHl3muT+Pi4oLNmzdj586daN68OZYsWYIVK1YYbVO3bl0sWLAAs2bNgpubGyZOnFjsa23atAn+/v4YNGgQAgICwBhDcHAwHTpICCGE8OKVV4CYGKHpql0buHJFGOvUCTh61NTVcUvGSjpJgpQqIyMDDg4OSE9Ph729vTiel5eH2NhYNGjQAJbVdPxrwZ4We3t7yV3l2xyVlIe3tzemTJlidD2rJ8lkMuzZswdDhw6t+kJrkKr6jJji824utFotgoODMWDAAGqqOUB58Icy4Q9lUor0dGD5cmDVKiAnB2jfHjh1qkr3gPGWR0m9wZPoJ3UzIJPJYGdnRyu5cYLy4A9lwh+lUonu3btDqaSj33lAefCHMuEPZVIKBwdg0SLhWmDvvw8sXfq48crMBG7erPS3lGoe1HyZCfqhki+UB38oE/4UPg+TmB7lwR/KhD+UyVN4eABr1wKPLjUDQDgs0ddXuHDz/fuV+nZSzIOaLzPAGENGRkaJy2yT6lVSHrdu3Sr1kMOC59Ihh5WPPiP80el0CA4OluTJ0uaI8uAPZcIfyqQCGAMuXwa0WuDbb4FGjYD584GMjGd+aanmQc0XIYQQQgghpPLJZMBvvwGHDgnngWVnAwsXCk3Y6tWARmPqCqsdNV+EEEIIIYSQqtOjh7AAx2+/AU2bAikpwNSpwMyZpq6s2lHzRQghhBBCCKlaMhnw6qvCYYjffw80aAAUPh0jO1s4TNHM0VLzFcTTUvOMMTDGIJPJaFEBDlAe/KmqTGip+YpjjEGn00GpVNLnhAOUB38oE/5QJpVMrwcUisf3hw8H7twRVkrs3PmpT+ctD1pqvoahHpovlAd/KBP+5ObmmroEUgjlwR/KhD+USSUq3Hjdvw/8+Sfwzz/ACy8AL70EXLr01JeQYh7UfJkBxhgyMzPph0tOUB78oUz4o9PpEBYWJrlVqswV5cEfyoQ/lEkVcnMDYmKAceOEpuzPP4FWrYAxY4Dbt4t9ilTzoOaLmIXAwECTLNF+69YtyGQyREZGVvt7S0FQUBD8/PxM9v4ymQy///67yd6fEEIIIWVUt65wLtjly8Brrwnnf/34o7BAR0iIqaurNNR8EVFSUhLee+89eHp6Qq1Ww93dHX379kV4eLipS6s0ubm5mD9/Pnx8fKBWq+Hs7IzXXnsNly9fNnVpJbpz5w5UKhV8fX1NXUq5TZ8+HYcOHary9ympyUtISED//v2r/P0JIYQQUkl8fICdO4HTp4VVEh0dy3QOmFRQ80VEr776Ks6fP48tW7YgJiYGe/fuxYsvvogHDx6YurRKodFo0KtXL2zcuBGfffYZYmJiEBwcDL1ejw4dOuDUqVMlPjc/P7/K6nraa2/evBlvvPEGcnJy8M8//1RZHYXp9XoYDIZnfh1bW1s4OTlVQkUV4+7uDrVabbL3J6VTKpWmLoEUQnnwhzLhD2VSjZ5/Hjh4EDh3DrCxEcYMBqB/f+GCzfn50syDkQpJT09nAFh6errReG5uLouKimK5ublFnpOlySr3TavXis/X6rUsS5PFcvJzyvS65ZGWlsYAsCNHjpS63cOHD9m4ceOYi4sLs7OzY927d2eRkZFG2/zxxx/M39+fqdVq5uTkxF5++WXxsQcPHrDRo0ezWrVqMSsrK9avXz8WExMjPr5p0ybm4ODADhw4wHx9fZmNjQ3r27cvu3fvnriNTqdjU6dOZQ4ODqx27drs448/Zm+++SYbMmRIqbUvWbKEyWSyIvXq9XrWrl071rx5c2YwGBhjjI0ZM4YNGTKEff7558zDw4N5eXkxxhj7999/mZ+fH1Or1czf35/t3r2bAWARERHi612+fJn179+f2djYMFdXVzZq1CiWnJwsPt6tWzf2wQcfsKlTpzInJyfWtWvXEms2GAysYcOG7MCBA2zmzJnsrbfeMno8NjaWAWDbt29nAQEBTK1Ws+bNm7OwsDBxm7CwMAaA7du3j7Vq1Yqp1WrWvn17duHChSJf9z///JM1a9aMKRQKdvPmzVLzSkpKYm5ubmzx4sXi65w6dYpZWFiwv//+mzHG2Pz581nr1q3Fxwu+rosXL2aurq7MwcGBBQUFMa1Wy6ZPn84cHR1Z3bp12YYNG4zmOWPGDNakSRNmZWXFGjRowObOncvy8/PF2gEY3TZt2sQYYwwA27Nnj/g6Fy5cYN27d2eWlpasdu3abNy4cSwzM7NIfcuXL2fu7u6sdu3abMKECeJ7Pam0zzshhBBCKtmuXYwJByQy1qABY7t3m7oiUUm9wZNoz1c1sv3Ctty3PVf2iM/fc2UPbL+wRf9txodReX/lXexzy1WbrS1sbW3x+++/Q1PC1cYZYxg4cCASExMRHByMs2fPom3btujZs6e4d2z//v145ZVXMHDgQERERODQoUNo166d+BqBgYH477//sHfvXoSHh4MxhgEDBkCr1Yrb5OTkYMWKFfjpp59w7NgxxMXFYfr06eLjK1euxMaNG7FhwwacOHECDx48wJ49j79OJfn555/Ru3dvtG7d2mhcLpdj6tSpiIqKwvnz58XxQ4cO4cqVKwgNDcW+ffuQnZ2NQYMGwcfHB2fPnkVQUJBRXYBwmFu3bt3QsmVLnDlzBgcOHMD9+/fxxhtvGG23ZcsWKJVK/PPPP/juu+9KrDksLAw5OTno1asXRo8ejV9//RWZmZlFtvv4448xbdo0REREoFOnTnjppZeQmppaZJsVK1bgzJkzcHV1xUsvvVTk6/7FF1/ghx9+wOXLl+Hq6lpqXi4uLti4cSOCgoLw33//ISsrC6NGjcKECRPQp0+fEud0+PBh3Lt3D8eOHcOXX36JoKAgDBo0CI6Ojvj3338xfvx4jB8/HvHx8eJz7OzssHnzZkRFReGrr77C+vXrsWrVKgDAsGHDMG3aNDz33HNISEhAQkIChg0bZvSejDGkp6ejX79+cHR0xJkzZ7Bz504cPHgQEydOLPI1v3HjBsLCwrBlyxZs3rwZmzdvLnE+pGIMBgOSkpIqZQ8reXaUB38oE/5QJhwYPBhYtw5wdwdiY5EZHS29PKqhETRLFdnzhSCU+/brpV/F5/966VeGILBum7oZva7zMudin1tev/32G3N0dGSWlpasU6dObPbs2ez8+fPi44cOHWL29vYsLy/P6HmNGjVi3333HWOMsYCAADZy5MhiXz8mJoYBYP/88484lpKSwqysrNivvwrzLNiLcf36dXGbNWvWMDc3N/G+h4cHW7JkiXhfq9WyevXqPXXPl6WlJZs8eXKxj507d44BYL/88gtjTNgD4ubmxjQajbjNd999x2rXrs2ys7PFsXXr1hnt+fr0009Z7969WVpaGtPr9YwxxuLj4xkAFh0dzRgT9nz5+fmVWmuBESNGsClTpoj3W7duzdavXy/eL9jzVdzXY+nSpYyxx3u+duzYIW6TmprKrKysxPkWfN0L7xUsS16MMTZhwgTWtGlTNnLkSNaiRQuj7/3i9nx5eXmJXxvGGPPx8WFdunQR7+t0OmZjY8O2b99e4tdl2bJlzN/fv8T3KYBHe770ej1bvXo1c3R0ZFlZj/cK79+/n8nlcpaYmGhUn06nE7d5/fXX2bBhw4qtg/Z8VVx+fj77/fffS9yrSKoX5cEfyoQ/lAlHsrKYbuVK9sfOndzkUdY9XxI8UFK6smZnlfs5auXj81VebvYysmZnQS4z3mF5c9JNZGRmwN7OHnJ5xXdmvvrqqxg4cCCOHz+O8PBwHDhwAMuWLcMPP/yAwMBAnD17FllZWUXO4cnNzcWNGzcAAJGRkRg3blyxr3/lyhUolUp06NBBHHNycoKPjw+uXLkijllbW6NRo0bifQ8PDyQlJQEA0tPTkZCQgICAAPFxpVKJdu3aicuIb9u2De+99574+F9//YUuXbqUOveC5xa+SF/Lli2hUqmM6m/dujWsra3FscJ1AMDZs2dx5MgR1KtXr8h73LhxA02bNgUAo72BJXn48CF2796NEydOiGOjRo3Cxo0bMXbsWKNti/t6FP6aPrlN7dq1i3zdVSoVWrVqZTTfsuS1YsUKtGjRAr/++iv++++/p15s+LnnnjP6PnVzc0OLFi3E+wqFAk5OTmLmAPDbb79h9erVuH79OrKysqDT6Uq9gGFxYmJi0Lp1a9gUHDcOoHPnzjAYDIiOjoabm5tYn6LQtUc8PDxw8eLFcr0XIYQQQqqQjQ0MkyaBBQebupJyo+arGtmobJ6+USmUciWUqqKR2ahsoLfQw0Zl80zNFwBYWlqid+/e6N27N+bNm4exY8di/vz5CAwMhMFggIeHB44cOVLkebVq1QIAWFlZlfjarIRrLDHGjJoeCwsLo8dlMlm5rs/00ksvGTUMdevWBQA0bdoUUVFRxT7n6tWrAIAmTZqIY4V/SC+t/sIMBgMGDRqEuXPnwtbW1igPDw+PEl+7OD///DPy8vKM5sIYg8FgQFRUFJo3b17q88tytffC21hZWRndL2teN2/exL1792AwGHD79m2jBq44xeVb3FjBYQSnTp3C8OHDsWDBAvTt2xcODg7YsWMHVq5c+dT5lVb3k+9XWn2SO6SBEEIIIVyic77MgEwmg1wuL9MP2+XVvHlzZGdnAwDatm2LxMREKJVKNG7c2Ojm7OwMAGjVqlWJS4s3b94cOp0O//77rziWmpqKmJgYNGvWrEz1ODg4wMPDw2hlQp1Oh7Nnz4r37ezsjGoraAiHDx+OgwcPGp3XBQgN06pVq9C8efMi54M9Wf/58+eNrqb+5AqJbdu2RVRUFLy9vdGkSROjOsrScBW2YcMGTJs2DZGRkeLt/Pnz6N69OzZu3Gi0bXFfjyeXpi+8TVpaGmJiYkpdvr4seeXn52PkyJEYNmwYFi1ahHfeeQf3798v1zyf5p9//oGXlxfmzJmDdu3aoUmTJrj9xAUXVSoV9Hp9ia8hk8ng6+uLyMhI8fu54LXlcrm4R5JUH5lMBjs7uyr5d4uUH+XBH8qEP5QJX6SaBzVfZkAmk8He3v6ZvvlSU1PRo0cPbN26FRcuXEBsbCx27tyJZcuWYciQIQCAXr16ISAgAEOHDsXff/+NW7du4eTJk5g7dy7+++8/AMD8+fOxfft2zJ8/H1euXMHFixexbNkyAMJepSFDhmDcuHE4ceIEzp8/j1GjRqFu3brie5TF5MmTsWTJEuzZswdXr17FhAkT8PDhw6c+b+rUqWjfvj0GDx6MnTt3Ii4uDmfOnMGrr76KK1euYMOGDaV+DUeMGAG5XI533nkHUVFRCA4OxooVK4y2+eCDD/DgwQO89957OHPmDG7evImQkBC8/fbbpTYHT4qMjMS5c+cwduxYtGjRwuj2v//9Dz/++KPRYhlr1qwRvx4ffPAB0tLS8Pbbbxu95sKFC3Ho0CFcunQJgYGBcHZ2LvXC1GXJa86cOUhPT8fXX3+NGTNmoFmzZnjnnXfKPM+yaNy4MeLi4rBjxw7cuHEDX3/9dZEFVry9vREbG4vIyEikpKQUWTRGJpNh7NixsLS0xJgxY3Dp0iWEhYVh0qRJGD16tHjIIak+SqUSPXr0kOYywWaI8uAPZcIfyoQvUs2Dmi8zwBiDRqMp16F5T7K1tUWHDh2watUqdO3aFS1atMCnn36KcePG4dtvvwUg/AAbHByMrl274u2330bTpk0xfPhw3Lp1S/zh9cUXX8TOnTuxd+9e+Pn5oUePHkZ7TjZt2gR/f38MGjQIAQEBYIwhODi4yKFepZk2bRrefPNNBAYGIiAgAHZ2dnj55Zef+jxLS0scPnwYY8aMwSeffILGjRujX79+UCgUOHXqFDp27PjUr9Gff/6JqKgotGnTBnPmzMHSpUuNtqlTpw5OnDgBrVaLvn37okWLFpg8eTIcHBzKdUjohg0b0Lx582L3TA0dOhQPHjzAn3/+KY4tWbIES5cuRevWrXH8+HH88ccf4t7IwttMnjwZ/v7+SEhIwN69e43OaStOaXkdOXIEq1evxk8//QR7e+F8w59++gknTpzAunXryjzXpxkyZAimTp2KiRMnws/PDydPnsSnn35qtM2rr76Kfv36oXv37nBxccH27duNHmeMQaFQ4MCBA3jw4AGef/55vPbaa+jZs6f4/U2qV8FhqnRIJx8oD/5QJvyhTPgi1Txk7Fl+Yq/BMjIy4ODggPT0dKMT//Py8hAbG4sGDRo8deGBymIwGJCRkSH+AExMqzrzuHXrFho0aICIiAj4+fkVu82RI0fQvXt3pKWliefm1TRVlYkpPu/mQqvVIjg4GAMGDCjXL19I1aA8+EOZ8Icy4QtveZTUGzyJflInhBBCCCGEkGpAzRchhBBCCCGEVANpnaFGiiWTyaBUKiW32ou5qs48vL29n3qu34svvvhM5wOaA/qM8Ecmk8HFxYUy4QTlwR/KhD+UCV+kmged81VBPJ3zRQgxDfq8E0IIIQQw03O+Fi9ejE6dOsHa2rrEhQPi4uIwePBg2NjYwNnZGR9++CHy8/ONtrl48SK6desGKysr1K1bFwsXLqz0PQPV2dMyxpCbm1vj927wgvLgT1VlQhlXnF6vx9WrV8t1CQZSdSgP/lAm/KFM+CLVPCTVfOXn5+P111/H+++/X+zjer0eAwcORHZ2Nk6cOIEdO3Zg165dmDZtmrhNRkYGevfujTp16uDMmTP45ptvsGLFCnz55ZeVUmPBais5OTmV8nplURlLzZPKQ3nwp6oyKfjFjkKhqNTXrQkMBgOio6Mlt0SwuaI8+EOZ8Icy4YtU85DUOV8LFiwAAGzevLnYx0NCQhAVFYX4+HjUqVMHALBy5UoEBgZi8eLFsLe3x7Zt25CXl4fNmzdDrVajRYsWiImJwZdffomPPvromY8bVSgUqFWrFpKSkgAA1tbWVX4sqsFgQH5+PvLy8mipeQ5QHvypikwMBgOSk5NhbW0tuQs8EkIIIcQ0zOonhvDwcLRo0UJsvACgb9++0Gg0OHv2LLp3747w8HB069YNarXaaJvZs2eL10wqjkajgUajEe9nZGQAEK4xoNVqAQByuRwKhQIuLi7Q6/W4f/++uL1MJiv2t+7lGS9o4orbPjc3F5aWlkaNXmW8Z1WPlzSn0sZ5qb208ZLykOqcpJ4TUDSTypiTXC6Hp6cnGGPQ6XRG2yqVSuj1eqPfyBX8G1HSuE6nM3oPhUIBuVxe4njBvz0FCprAwrWUNm5hYQGDwWB0yEZB7SWNV+acAIhzMJc5STknoGgeUp+TlHMqqEer1ZrNnKSeU8F76/V6WFhYmMWcnqxdSnMqeA+dTldqHtU1pycfL4lZNV+JiYlwc3MzGnN0dIRKpUJiYqK4jbe3t9E2Bc9JTEwssfn64osvxD1vhYWEhMDa2hoA4OnpiTZt2uDixYuIi4uDTCaDQqFAgwYNxAvhPnjwQHyur68v6tati1OnTiE7O1sc9/Pzg5OTE44cOWL0TdehQweo1WocO3bMqIYXXngBV69exa1bt8QxhUKBF198EampqYiMjBTHbWxs0LFjR9y9exdXr14Vx2vXro02bdrg5s2biI2NFcc9PDzQvHlzREVFISEhQRyv6jl17doVGo0G//77r+Tm9PzzzyM+Pt4oD6nPSeo51apVC0ePHjX6x/RZ58QYg7W1NXx9fXH79m2jubq4uKBTp064du0aoqOjxfGCfyMuXLiAuLg4cdzHxwe+vr44ffo0kpOTjWr38vLCsWPHkJmZKY4HBATA1dUVISEhRv9hde/eHVZWVggODjaa04ABA5Cbm4uwsDBxTKlUYuDAgUhJSUF4eLg4bmdnhx49eiA+Pr5K53Ty5EkAQGhoqNnMSco5RUREGOVhDnMyl5xCQ0PNbk6AtHOKiopC27ZtzWpOUs4pIiKCizmV9ZQjk692GBQUVGxTU9iZM2fQrl078f7mzZsxZcoUPHz40Gi7d999F7dv38bff/9tNK5SqfDjjz9i+PDh6NOnDxo0aIDvvvtOfPzu3buoV68ewsPD0bFjx2JrKG7PV/369ZGSkiKuaCLF3xo8OW7q3xrQnGhONCeaE82J5kRzojnRnGhOUptTRkYGnJ2dn7raocn3fE2cOBHDhw8vdZsn91SVxN3d3ei31QCQlpYGrVYr7t1yd3cX94IVKDg/68m9ZoWp1WqjQxULWFhYiItsFFAoFMWegF/SeSEljT/5uiWN6/V6XLhwAa1atSryvnK5vNhzXEoaL6n26p5TaeO8z6m0PIrbvrTaeZlTRcZ5mpNer8elS5eKzUSqcyqpxvKOm2pOMpkMFy9eLJKJlOck5ZxKykPKc5J6TgCK/F8i9TlJPafC/78XHi9r7TzOqazjPM6prHlU15xKerxI/WXaqgo5OzvD19e31FtZr58TEBCAS5cuGR2iFBISArVaDX9/f3GbY8eOGS0/HxISgjp16pS5yeONwWBAXFyc5FZ7MVeUB38oE/5QJnyhPPhDmfCHMuGLVPMwefNVHnFxcYiMjERcXBz0ej0iIyMRGRmJrKwsAECfPn3QvHlzjB49GhERETh06BCmT5+OcePGibv/RowYAbVajcDAQFy6dAl79uzB559/XikrHRJCCCGEEEJISUx+2GF5zJs3D1u2bBHvt2nTBgAQFhaGF198EQqFAvv378eECRPQuXNnWFlZYcSIEVixYoX4HAcHB4SGhuKDDz5Au3bt4OjoiI8++ggfffRRuWopOBa0YNVDU9JqtcjJyUFGRkaZd3mSqkN58Icy4Q9lwhfKgz+UCX8oE77wlkdBT/C05TRMvuCGVN25cwf169c3dRmEEEIIIYQQTsTHx6NevXolPk7NVwUZDAbcu3cPdnZ2Jj9csWDlxfj4+FJXVyHVg/LgD2XCH8qEL5QHfygT/lAmfOEtD8YYMjMzUadOnWIXCikgqcMOeSKXy0vtak3B3t6ei28+IqA8+EOZ8Icy4QvlwR/KhD+UCV94ysPBweGp20hqwQ1CCCGEEEIIkSpqvgghhBBCCCGkGlDzZQbUajXmz59f7EWgSfWjPPhDmfCHMuEL5cEfyoQ/lAlfpJoHLbhBCCGEEEIIIdWA9nwRQgghhBBCSDWg5osQQgghhBBCqgE1X4QQQgghhBBSDaj5IoQQQgghhJBqQM2XBKWlpWH06NFwcHCAg4MDRo8ejYcPH5b6nN27d6Nv375wdnaGTCZDZGRktdRqrtauXYsGDRrA0tIS/v7+OH78eKnbHz16FP7+/rC0tETDhg3xf//3f9VUac1RnkwSEhIwYsQI+Pj4QC6XY8qUKdVXaA1Snkx2796N3r17w8XFBfb29ggICMDff/9djdWav/LkceLECXTu3BlOTk6wsrKCr68vVq1aVY3V1gzl/b+kwD///AOlUgk/P7+qLbCGKU8eR44cgUwmK3K7evVqNVZs/sr7GdFoNJgzZw68vLygVqvRqFEjbNy4sZqqLRtqviRoxIgRiIyMxIEDB3DgwAFERkZi9OjRpT4nOzsbnTt3xpIlS6qpSvP1yy+/YMqUKZgzZw4iIiLQpUsX9O/fH3FxccVuHxsbiwEDBqBLly6IiIjAJ598gg8//BC7du2q5srNV3kz0Wg0cHFxwZw5c9C6detqrrZmKG8mx44dQ+/evREcHIyzZ8+ie/fuGDx4MCIiIqq5cvNU3jxsbGwwceJEHDt2DFeuXMHcuXMxd+5cfP/999VcufkqbyYF0tPT8eabb6Jnz57VVGnNUNE8oqOjkZCQIN6aNGlSTRWbv4pk8sYbb+DQoUPYsGEDoqOjsX37dvj6+lZj1WXAiKRERUUxAOzUqVPiWHh4OAPArl69+tTnx8bGMgAsIiKiCqs0b+3bt2fjx483GvP19WWzZs0qdvsZM2YwX19fo7H33nuPdezYscpqrGnKm0lh3bp1Y5MnT66iymquZ8mkQPPmzdmCBQsqu7QaqTLyePnll9moUaMqu7Qaq6KZDBs2jM2dO5fNnz+ftW7dugorrFnKm0dYWBgDwNLS0qqhupqpvJn89ddfzMHBgaWmplZHeRVGe74kJjw8HA4ODujQoYM41rFjRzg4OODkyZMmrKxmyM/Px9mzZ9GnTx+j8T59+pT49Q8PDy+yfd++ffHff/9Bq9VWWa01RUUyIVWrMjIxGAzIzMxE7dq1q6LEGqUy8oiIiMDJkyfRrVu3qiixxqloJps2bcKNGzcwf/78qi6xRnmWz0ibNm3g4eGBnj17IiwsrCrLrFEqksnevXvRrl07LFu2DHXr1kXTpk0xffp05ObmVkfJZaY0dQGkfBITE+Hq6lpk3NXVFYmJiSaoqGZJSUmBXq+Hm5ub0bibm1uJX//ExMRit9fpdEhJSYGHh0eV1VsTVCQTUrUqI5OVK1ciOzsbb7zxRlWUWKM8Sx716tVDcnIydDodgoKCMHbs2KostcaoSCbXrl3DrFmzcPz4cSiV9ONbZapIHh4eHvj+++/h7+8PjUaDn376CT179sSRI0fQtWvX6ijbrFUkk5s3b+LEiROwtLTEnj17kJKSggkTJuDBgwdcnfdFn15OBAUFYcGCBaVuc+bMGQCATCYr8hhjrNhxUjWe/Fo/7etf3PbFjZOKK28mpOpVNJPt27cjKCgIf/zxR7G/bCIVU5E8jh8/jqysLJw6dQqzZs1C48aN8b///a8qy6xRypqJXq/HiBEjsGDBAjRt2rS6yqtxyvMZ8fHxgY+Pj3g/ICAA8fHxWLFiBTVflag8mRgMBshkMmzbtg0ODg4AgC+//BKvvfYa1qxZAysrqyqvtyyo+eLExIkTMXz48FK38fb2xoULF3D//v0ijyUnJxf57QCpfM7OzlAoFEV+65KUlFTi19/d3b3Y7ZVKJZycnKqs1pqiIpmQqvUsmfzyyy945513sHPnTvTq1asqy6wxniWPBg0aAABatmyJ+/fvIygoiJqvSlDeTDIzM/Hff/8hIiICEydOBCD8oMkYg1KpREhICHr06FEttZujyvp/pGPHjti6dWtll1cjVSQTDw8P1K1bV2y8AKBZs2ZgjOHOnTvcLIZC53xxwtnZGb6+vqXeLC0tERAQgPT0dJw+fVp87r///ov09HR06tTJhDOoGVQqFfz9/REaGmo0HhoaWuLXPyAgoMj2ISEhaNeuHSwsLKqs1pqiIpmQqlXRTLZv347AwED8/PPPGDhwYFWXWWNU1meEMQaNRlPZ5dVI5c3E3t4eFy9eRGRkpHgbP348fHx8EBkZaXQeOCm/yvqMRERE0KkElaQimXTu3Bn37t1DVlaWOBYTEwO5XI569epVab3lYpp1Psiz6NevH2vVqhULDw9n4eHhrGXLlmzQoEFG2/j4+LDdu3eL91NTU1lERATbv38/A8B27NjBIiIiWEJCQnWXL3k7duxgFhYWbMOGDSwqKopNmTKF2djYsFu3bjHGGJs1axYbPXq0uP3NmzeZtbU1mzp1KouKimIbNmxgFhYW7LfffjPVFMxOeTNhjLGIiAgWERHB/P392YgRI1hERAS7fPmyKco3S+XN5Oeff2ZKpZKtWbOGJSQkiLeHDx+aagpmpbx5fPvtt2zv3r0sJiaGxcTEsI0bNzJ7e3s2Z84cU03B7FTk363CaLXDylXePFatWsX27NnDYmJi2KVLl9isWbMYALZr1y5TTcHslDeTzMxMVq9ePfbaa6+xy5cvs6NHj7ImTZqwsWPHmmoKxaLmS4JSU1PZyJEjmZ2dHbOzs2MjR44sstQpALZp0ybx/qZNmxiAIrf58+dXa+3mYs2aNczLy4upVCrWtm1bdvToUfGxMWPGsG7duhltf+TIEdamTRumUqmYt7c3W7duXTVXbP7Km0lxnwcvL6/qLdrMlSeTbt26FZvJmDFjqr9wM1WePL7++mv23HPPMWtra2Zvb8/atGnD1q5dy/R6vQkqN1/l/XerMGq+Kl958li6dClr1KgRs7S0ZI6OjuyFF15g+/fvN0HV5q28n5ErV66wXr16MSsrK1avXj32hqHPegAABTZJREFU0UcfsZycnGquunQyxh6d+U8IIYQQQgghpMrQOV+EEEIIIYQQUg2o+SKEEEIIIYSQakDNFyGEEEIIIYRUA2q+CCGEEEIIIaQaUPNFCCGEEEIIIdWAmi9CCCGEEEIIqQbUfBFCCCGEEEJINaDmixBCCCGEEEKqATVfhBBCzN6gQYNQq1YtxMfHF3nswYMH8PDwQOfOneHp6YnAwMAKvYe3t3eZnnvkyBHIZDIcOXKkQu9DCCFEupSmLoAQQgipaj/88ANatGiBsWPH4u+//zZ6bOLEicjMzMSWLVuQmZkJe3t7E1VJCCHE3NGeL0IIIWbP3d0da9euRUhICL777jtxfM+ePdi+fTuWL1+Oxo0bo02bNmjUqJEJKyWEEGLOqPkihBBSI7zxxhsYPnw4pk+fjlu3biE1NRXjx49H79698f777wMo/tDBjIwMTJ8+HQ0aNIBKpULdunUxZcoUZGdnP/U9r169in79+sHa2hrOzs4YP348MjMzi2wXERGBQYMGwdXVFWq1GnXq1MHAgQNx586dSpk7IYQQPtBhh4QQQmqMNWvW4OjRo3j77bfh4uKC/Px8bNy4scTtc3Jy0K1bN9y5cweffPIJWrVqhcuXL2PevHm4ePEiDh48CJlMVuxz79+/j27dusHCwgJr166Fm5sbtm3bhokTJxptl52djd69e6NBgwZYs2YN3NzckJiYiLCwsGIbNUIIIdJFzRchhJAao3bt2tiwYQMGDBgAAPjpp59Qr169Erf/+uuvceHCBfz7779o164dAKBnz56oW7cuXnvtNRw4cAD9+/cv9rmrVq1CcnIyIiIi0Lp1awBA//790adPH8TFxYnbXb16FampqdiwYQOGDBkijr/xxhvPPF9CCCF8ocMOCSGE1Cj9+/dHx44d0aRJE4waNarUbfft24cWLVrAz88POp1OvPXt2/epKxaGhYXhueeeExuvAiNGjDC637hxYzg6OmLmzJn4v//7P0RFRVV4boQQQvhGzRchhJAaR61WQ6VSPXW7+/fv48KFC7CwsDC62dnZgTGGlJSUEp+bmpoKd3f3IuNPjjk4OODo0aPw8/PDJ598gueeew516tTB/PnzodVqyz85Qggh3KLDDgkhhJASODs7w8rKqsTzwpydnUt8rpOTExITE4uMFzfWsmVL7NixA4wxXLhwAZs3b8bChQthZWWFWbNmVXwChBBCuEJ7vgghhJASDBo0CDdu3ICTkxPatWtX5Obt7V3ic7t3747Lly/j/PnzRuM///xzic+RyWRo3bo1Vq1ahVq1auHcuXOVNRVCCCEcoD1fhBBCSAmmTJmCXbt2oWvXrpg6dSpatWoFg8GAuLg4hISEYNq0aejQoUOJz924cSMGDhyIRYsWiasdXr161Wi7ffv2Ye3atRg6dCgaNmwIxhh2796Nhw8fonfv3tUxTUIIIdWEmi9CCCGkBDY2Njh+/DiWLFmC77//HrGxsbCysoKnpyd69epV6p4vd3d3HD16FJMnT8b7778Pa2trvPzyy/j222+NVjVs0qQJatWqhWXLluHevXtQqVTw8fHB5s2bMWbMmGqYJSGEkOoiY4wxUxdBCCGEEEIIIeaOzvkihBBCCCGEkGpAzRchhBBCCCGEVANqvgghhBBCCCGkGlDzRQghhBBCCCHVgJovQgghhBBCCKkG1HwRQgghhBBCSDWg5osQQgghhBBCqgE1X4QQQgghhBBSDaj5IoQQQgghhJBqQM0XIYQQQgghhFQDar4IIYQQQgghpBr8P/DNI6t008iSAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "face_value = 100 \n",
    "coupon_rate = 0.10 \n",
    "bond_length = 4  \n",
    "yield_rate = 0.05\n",
    "\n",
    "cf = create_cash_flow(face_value, coupon_rate, bond_length)\n",
    "\n",
    "yields = np.arange(-0.1, 0.61, 0.01)\n",
    "\n",
    "prices = []\n",
    "# Create a template cash flow *excluding* the initial -FV, just the future payments\n",
    "# [10, 10, 10, 110]\n",
    "for y in yields:\n",
    "    # The PV is calculated from the future cash flows\n",
    "    prices.append(npf.npv(y, cf)) # [0] is a placeholder for t=0\n",
    "\n",
    "prices = np.array(prices)\n",
    "\n",
    "# 3. Calculate Duration, Modified Duration, and Convexity at the reference point\n",
    "P0 = npf.npv(yield_rate, cf) # Bond price at lambda0\n",
    "\n",
    "duration = calculate_macualy_duration(yield_rate, face_value, coupon_rate, bond_length)\n",
    "modified_duration = calculate_modified_duration(duration, yield_rate)\n",
    "convexity = calculate_convexity(yield_rate, face_value, coupon_rate, bond_length)\n",
    "\n",
    "print(f\"--- Reference Point (YTM = {yield_rate:.2f}) ---\")\n",
    "print(f\"P0 (Exact Price): {P0:.4f}\")\n",
    "print(f\"Macaulay Duration: {duration:.4f}\")\n",
    "print(f\"Modified Duration: {modified_duration:.4f}\")\n",
    "print(f\"Convexity: {convexity:.4f}\")\n",
    "print(\"------------------------------------------\")\n",
    "\n",
    "# 4. First-order approximation (P_1)\n",
    "P_1 = P0 * (1 - modified_duration * (yields - yield_rate))\n",
    "\n",
    "# 5. Second-order approximation (P_2)\n",
    "P_2 = P0 * (1 - modified_duration * (yields - yield_rate) \n",
    "            + 0.5 * convexity * (yields - yield_rate)**2)\n",
    "\n",
    "# 6. Plotting\n",
    "plt.figure(figsize=(10, 6))\n",
    "plt.plot(yields, prices, label='Bond Prices (Exact)')\n",
    "plt.plot(yields, P_1, 'r--', label='First-Order Approximation')\n",
    "plt.plot(yields, P_2, 'g-.', label='Second-Order Approximation')\n",
    "\n",
    "plt.title('Bond Price Approximation using Duration and Convexity')\n",
    "plt.ylabel('Bond Prices', fontsize=12)\n",
    "plt.xlabel('Yields', fontsize=12)\n",
    "plt.grid(True, linestyle='--')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cc4d7202",
   "metadata": {},
   "source": [
    "### Least-Squares Solution"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "90ab9fe8",
   "metadata": {},
   "source": [
    "* Matlab's **bnddury** function: \n",
    " \n",
    "[ModDuration,YearDuration,PerDuration] = bnddury(Yield,CouponRate,Settle,Maturity) computes the Macaulay and modified duration of NUMBONDS fixed income securities given yield to maturity for each bond.  \n",
    "\n",
    "bnddury determines the Macaulay and modified duration for a bond whether the first or last coupon periods in the coupon structure are short or long (that is, whether the coupon structure is synchronized to maturity). bnddury also determines the Macaulay and modified duration for a zero coupon bond."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cea5a4ed",
   "metadata": {},
   "source": [
    "In our calculations, we need to define PerDuration which is :  \n",
    "$$\\text{PerDuration} = \\text{Macualy Duration} \\times \\text{Frequency}$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "id": "d659a52e",
   "metadata": {},
   "outputs": [],
   "source": [
    "def calculate_periodic_duration(macualy_duration, freq):\n",
    "    periodic_duration = macualy_duration * freq\n",
    "    return periodic_duration"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "id": "b78e2858",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "--- Bond Portfolio Immunization ---\n",
      "Settle Date: 02-09-2007\n",
      "Maturity Dates: ['03-10-2008', '04-11-2010', '31-12-2015']\n",
      "Calculated Periods (N): [2, 4, 9]\n",
      "Calculated Durations: [1.8513 3.3682 5.9913]\n",
      "Calculated Convexities: [ 4.9892 14.0764 44.1128]\n",
      "\n",
      "Coefficient Matrix (A):\n",
      "[[ 1.8513  3.3682  5.9913]\n",
      " [ 4.9892 14.0764 44.1128]\n",
      " [ 1.      1.      1.    ]]\n",
      "\n",
      "--- Solution ---\n",
      "The Required Weights are:\n",
      "[  8.45   -14.8647   7.4147]\n",
      "Verification (A @ weights): [ 10. 160.   1.]\n"
     ]
    }
   ],
   "source": [
    "\n",
    "settles = '02-09-2007'\n",
    "maturities = ['03-10-2008', '04-11-2010', '31-12-2015']\n",
    "coupon_rates = np.array([0.06, 0.07, 0.08])\n",
    "yields = np.array([0.05, 0.075, 0.1])\n",
    "face_value = 100 \n",
    "freq = 1 \n",
    "\n",
    "\n",
    "def calculate_time_to_maturity(settle_date_str, maturity_date_str, freq=1):\n",
    "    settle = datetime.strptime(settle_date_str, '%d-%m-%Y') \n",
    "    maturity = datetime.strptime(maturity_date_str, '%d-%m-%Y')\n",
    "    time_delta = maturity - settle\n",
    "    # Use 365.25 for a more accurate average year length\n",
    "    T = time_delta.days / 365.25 \n",
    "    # Periods (N) must be the ceiling of T * freq, where freq=1 here\n",
    "    periods = int(np.ceil(T * freq)) \n",
    "    return T, periods\n",
    "\n",
    "# Get the Time to Maturity (T) and the number of periods (N) for each bond\n",
    "T_list = []\n",
    "N_list = []\n",
    "for mat_date in maturities:\n",
    "    T, N = calculate_time_to_maturity(settles, mat_date)\n",
    "    T_list.append(T)\n",
    "    N_list.append(N)\n",
    "\n",
    "# 1. Calculate Durations and Convexities for the three bonds\n",
    "mac_durations = []\n",
    "modified_durations = []\n",
    "per_durations = []\n",
    "convexities = []\n",
    "\n",
    "for y, r, N in zip(yields, coupon_rates, N_list):\n",
    "    dur = calculate_macualy_duration(y, face_value, r, N, freq)\n",
    "    dur_mod = calculate_modified_duration(dur, y)\n",
    "    dur_per = calculate_periodic_duration(dur, freq)\n",
    "    conv = calculate_convexity(y, face_value, r, N, freq)\n",
    "    mac_durations.append(dur)\n",
    "    modified_durations.append(dur_per)\n",
    "    per_durations.append(dur_per)\n",
    "    convexities.append(conv)\n",
    "\n",
    "\n",
    "mac_durations = np.array(mac_durations)\n",
    "modified_durations = np.array(modified_durations)\n",
    "per_durations = np.array(per_durations)\n",
    "convexities = np.array(convexities)\n",
    "\n",
    "# 2. Define the Coefficient Matrix (A) and the Target Vector (b)\n",
    "A = np.vstack([durations, convexities, np.ones(3)])\n",
    "b = np.array([10, 160, 1])\n",
    "\n",
    "# 3. Solve the Linear System (weights = A\\b)\n",
    "weights = np.linalg.solve(A, b)\n",
    "\n",
    "# 4. Print Results\n",
    "print(\"--- Bond Portfolio Immunization ---\")\n",
    "print(f\"Settle Date: {settles}\")\n",
    "print(f\"Maturity Dates: {maturities}\")\n",
    "print(f\"Calculated Periods (N): {N_list}\")\n",
    "print(f\"Calculated Durations: {durations.round(4)}\")\n",
    "print(f\"Calculated Convexities: {convexities.round(4)}\")\n",
    "print(\"\\nCoefficient Matrix (A):\")\n",
    "print(A.round(4))\n",
    "print(\"\\n--- Solution ---\")\n",
    "print(f\"The Required Weights are:\\n{weights.round(4)}\")\n",
    "print(f\"Verification (A @ weights): {(A @ weights).round(4)}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "e02704c5",
   "metadata": {},
   "outputs": [],
   "source": []
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