{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "da8e42d5",
   "metadata": {
    "toc": true
   },
   "source": [
    "<h1>Table of Contents<span class=\"tocSkip\"></span></h1>\n",
    "<div class=\"toc\"><ul class=\"toc-item\"><li><span><a href=\"#The-SVI-parametrization\" data-toc-modified-id=\"The-SVI-parametrization-1\"><span class=\"toc-item-num\">1&nbsp;&nbsp;</span>The SVI parametrization</a></span><ul class=\"toc-item\"><li><span><a href=\"#Implementing-the-parametrization\" data-toc-modified-id=\"Implementing-the-parametrization-1.1\"><span class=\"toc-item-num\">1.1&nbsp;&nbsp;</span>Implementing the parametrization</a></span></li><li><span><a href=\"#Plotting-SVI-implied-volatility\" data-toc-modified-id=\"Plotting-SVI-implied-volatility-1.2\"><span class=\"toc-item-num\">1.2&nbsp;&nbsp;</span>Plotting SVI implied volatility</a></span></li><li><span><a href=\"#Test-if-butterfly-arbitrage\" data-toc-modified-id=\"Test-if-butterfly-arbitrage-1.3\"><span class=\"toc-item-num\">1.3&nbsp;&nbsp;</span>Test if butterfly arbitrage</a></span></li><li><span><a href=\"#Usual-Black-Scholes-functions\" data-toc-modified-id=\"Usual-Black-Scholes-functions-1.4\"><span class=\"toc-item-num\">1.4&nbsp;&nbsp;</span>Usual Black-Scholes functions</a></span></li></ul></li><li><span><a href=\"#An-example-of-SVI-calibration-with-synthetic-data\" data-toc-modified-id=\"An-example-of-SVI-calibration-with-synthetic-data-2\"><span class=\"toc-item-num\">2&nbsp;&nbsp;</span>An example of SVI calibration with synthetic data</a></span><ul class=\"toc-item\"><li><span><a href=\"#Data\" data-toc-modified-id=\"Data-2.1\"><span class=\"toc-item-num\">2.1&nbsp;&nbsp;</span>Data</a></span></li><li><span><a href=\"#Plotting\" data-toc-modified-id=\"Plotting-2.2\"><span class=\"toc-item-num\">2.2&nbsp;&nbsp;</span>Plotting</a></span></li><li><span><a href=\"#Fit-an-SVI-parameterisation\" data-toc-modified-id=\"Fit-an-SVI-parameterisation-2.3\"><span class=\"toc-item-num\">2.3&nbsp;&nbsp;</span>Fit an SVI parameterisation</a></span></li></ul></li><li><span><a href=\"#An-example-of-SVI-calibration-on-real-data-(OESB,--2021-Feb.-19th)\" data-toc-modified-id=\"An-example-of-SVI-calibration-on-real-data-(OESB,--2021-Feb.-19th)-3\"><span class=\"toc-item-num\">3&nbsp;&nbsp;</span>An example of SVI calibration on real data (OESB,  2021 Feb. 19th)</a></span></li></ul></div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c5b07e23",
   "metadata": {},
   "source": [
    "# The SVI parametrization\n",
    "\n",
    "We remind the SVI parameterization by [Gatheral 2004] for the smile of implicit total variance at given maturity $\\tau$:\n",
    "\n",
    "\\begin{equation}\n",
    "w_\\mathrm{SVI}(k) = a + b \\left(\\rho (k - k_0) + \\sqrt{(k - k_0)^2 + \\sigma^2} \\right)\n",
    "\\qquad k \\in \\mathbb R,\n",
    "\\end{equation}\n",
    "\n",
    "where $k = \\log \\frac K {F(0, \\tau)}$ is the log-forward moneyness variable and the function $w_\\mathrm{SVI}(k) = \\tau \\, I^2_{0}(k, \\tau)$ represents the implicit total variance (equal to implicit vol$^2$ $\\times$ maturity).\n",
    "\n",
    "The conditions for positivity and increasingness in the wings are \n",
    "\\begin{align*}\n",
    "&\\sigma>0,&&\n",
    "b>0,\\\\\n",
    "&\\rho\\in[-1,1],&&\n",
    "a+b\\sigma \\sqrt{1-\\rho^2}>0,\\\\\n",
    "&b (1+|\\rho|)\\leq  {2}{}.&&\n",
    "\\end{align*}\n",
    "\n",
    "\n",
    "We often call the above function \"SVI slice\", because this is the parameterization of a single smile at given maturity (that we see as a \"slice\" of the whole implicit variance surface)."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5a0acdc8",
   "metadata": {},
   "source": [
    "## Implementing the parametrization"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "cca80cd7",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "c2f29df8",
   "metadata": {},
   "outputs": [],
   "source": [
    "def SVI(k, a, b , rho, k_0, sig):\n",
    "    total_variance = a + b*( rho*(k - k_0) + np.sqrt( (k - k_0)*(k - k_0) + sig*sig) )    \n",
    "    return total_variance"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "6362ad46",
   "metadata": {},
   "outputs": [],
   "source": [
    "############################################\n",
    "# A set of SVI parameters : expiry 3 months\n",
    "############################################\n",
    "tau= 3/12.0\n",
    "a_true = 0.02 # 0.008\n",
    "b_true = 0.2\n",
    "rho_true = -.3\n",
    "k_0_true = 0.05\n",
    "sig_true = 0.6\n",
    "lm_min, lm_max = -1, 1 # available range of log moneyness"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c820b94a",
   "metadata": {},
   "source": [
    "## Plotting SVI implied volatility"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "1745cb36",
   "metadata": {},
   "outputs": [
    {
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",
      "text/plain": [
       "<Figure size 2500x500 with 5 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lm_grid = np.linspace(lm_min, lm_max, 20)\n",
    "fig, (ax1, ax2, ax3, ax4, ax5) = plt.subplots(1, 5, figsize=(25, 5))\n",
    "fig.suptitle('Sensitivity of SVI Implied volatilities to parameters')\n",
    "\n",
    "for a in np.linspace(0.0,0.05,3):\n",
    "    ax1.plot(lm_grid, SVI(lm_grid, a=a, b=b_true , rho=rho_true, k_0=k_0_true, sig=sig_true), label=\"IV with a=%1.2f\"%a)\n",
    "ax1.set_xlabel('Log-forward moneyness')\n",
    "ax1.set_ylabel('IV')\n",
    "ax1.legend()\n",
    "\n",
    "for b in np.linspace(0.1,0.3,3):\n",
    "    ax2.plot(lm_grid, SVI(lm_grid, a=a_true, b=b , rho=rho_true, k_0=k_0_true, sig=sig_true), label=\"IV with b=%1.2f\"%b)\n",
    "ax2.set_xlabel('Log-forward moneyness')\n",
    "ax2.set_ylabel('IV')\n",
    "ax2.legend()\n",
    "\n",
    "for rho in np.linspace(-1,1,5):\n",
    "    ax3.plot(lm_grid, SVI(lm_grid, a=a_true, b=b_true , rho=rho, k_0=k_0_true, sig=sig_true), label=\"IV with rho=%1.2f\"%rho)\n",
    "ax3.set_xlabel('Log-forward moneyness')\n",
    "ax3.set_ylabel('IV')\n",
    "ax3.legend()\n",
    "\n",
    "for k_0 in np.linspace(-0.3,0.3,3):\n",
    "    ax4.plot(lm_grid, SVI(lm_grid, a=a_true, b=b_true , rho=rho_true, k_0=k_0, sig=sig_true), label=\"IV with k_0=%1.2f\"%k_0)\n",
    "ax4.set_xlabel('Log-forward moneyness')\n",
    "ax4.set_ylabel('IV')\n",
    "ax4.legend()\n",
    "\n",
    "for sig in np.linspace(0.0,1,4):\n",
    "    ax5.plot(lm_grid, SVI(lm_grid, a=a_true, b=b_true , rho=rho_true, k_0=k_0_true, sig=sig), label=\"IV with sig=%1.2f\"%sig)\n",
    "ax5.set_xlabel('Log-forward moneyness')\n",
    "ax5.set_ylabel('IV')\n",
    "ax5.legend()\n",
    "\n",
    "plt.show()    "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "46ede4cb",
   "metadata": {},
   "source": [
    "## Test if butterfly arbitrage"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f4802234",
   "metadata": {},
   "source": [
    "The absence of butterfly arbitrage (call/put prices are convex in strike) is equivalent to \n",
    "$$g(k):=\\left(1-\\frac{k \\partial_k w(k,\\tau)}{2 w(k,\\tau)}\\right)^2-\\frac {(\\partial_k w(k,\\tau))^2}{4}\\left(\\frac{1}{ w(k,\\tau)}+\\frac{1}{4 }\\right)+\\frac{ \\partial^2_{kk}w(k,\\tau)}2\\geq0,$$\n",
    "for any $k\\in \\mathbb R$, and to $$\\lim_{k\\to +\\infty} \\left(-\\frac{k}{\\sqrt{w(k,\\tau)} }+\\frac{1}{2 }\\sqrt{w(k,\\tau)}\\right)=-\\infty.$$\n",
    "These two conditions are written on the total implicit variance for a given time-to-maturity $\\tau$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "c581e341",
   "metadata": {},
   "outputs": [],
   "source": [
    "def g_SVI(k, a, b , rho, k_0, sig): # we compute the function g in the SVI model\n",
    "    w=SVI(k, a, b , rho, k_0, sig)\n",
    "    derivee_w= b * (rho+ (k-k_0) / np.sqrt((k-k_0)**2+sig**2) )\n",
    "    derivee_seconde_w= b/np.sqrt((k-k_0)**2 +sig**2 )- b * (k-k_0)**2 /(np.sqrt((k-k_0)**2+sig**2))**3\n",
    "    value_g=(1-k*derivee_w/(2*w))**2 - (derivee_w)**2/4 * (1/w + 1/4) + derivee_seconde_w/2\n",
    "    return value_g"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "39d131a7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x137ad9590>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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ClJQUeHp6Fjn+/m03b94EALz11luwsrIqdJswYQIAPHT7bldX10Jfq9VqAChT0wS5XI7OnTtj+vTp+P3333Hjxg0MHjwYR48eLfTzkclkGD16NE6ePGlqAb5y5UoEBgaiW7du5Y756tWrRb4PpSUqy5cvh0ajweOPP256LTVr1gwBAQFYtWpVkQ+HarUaQ4cORU5ODlq0aFHkg+3Nmzfxxx9/FImjSZMmAB7u52FjY4Pnn38eW7duRUJCAvLz87FmzRpT4gkYXjNKpbJI0iKTyQq9no3/3v9aUiqVRX7m5XH79m3odLpSG42UNAfOx8enUHzlVVzsarW6TK/Xh/k9uvc57Nmzp8hxV69eRUpKCvLz8/Hll18Wub9v377Fnnf06NHIy8uDUqk0teK/19ChQ7Fo0SKMHTsW27Ztw6FDh3D48GG4u7sX+1xdXFwKfa1SqUrcfu9FDaOS3h+1Wi0yMjKK3Afc/X4+++yzRZ73xx9/DCEEbt26VeyxRFQ1Hv4yGRFZlBUrVkAIgQ0bNhS7BtN3332HOXPmQKFQmLbdvwbTvRISEord9igfIkt6zDVr1qBr165YsmRJoe3p6emFvnZ1dS3Uga6kWN3c3AAAU6dOxcCBA4uNo2HDhuWKuzLY2tpi6tSpWLduXZHucCNHjsT06dOxYsUKWFlZITIyEu+///4Df2Yl8fHxweHDhwtte9Dzv3DhAvbv3w8AqF27drH7bNu2zfQhFzA0Npg+fTpat26Nw4cPY/78+QgPDzfd7+bmhmbNmuGDDz4oMcaHMWbMGHzzzTdYvXo1GjRogMTERMybN890v6urK/Lz85GUlFQoeRJCICEhwdQYwfi6vnnzJnx9fU375efnP9LFAhcXFygUCsTGxj5wP1dXV8THxxfZbmw8YnxNG0c57m+6UBnreD3M79G9r8/Q0NAirzvjiKNCocCwYcPw6quvFnvewMBA0/8zMzMxbNgwNGjQADdv3sTYsWPx22+/me5PTU3Fn3/+iRkzZhRaAy03N7fSEpGS3h9VKhXs7OyKPcb4/fzyyy9L7EZa3IUhIqo6TJyIagCdTofvvvsOdevWxbffflvk/j///BPz5s3Dli1bipSolOTHH39EeHi46YPQtWvXcODAAQwfPvyBx5X1ava9ZDKZaeTG6MSJEzh48GCh0qUuXbrg559/xpYtW0wlXgDw008/FTq2YcOGqF+/Po4fP44PP/ywXLFUlvj4+GJHFIxlRPcnDj4+Pnj88cfx448/Ij8/H3K5HCNGjHiox1apVGjVqlWZ9zd2Zvzmm29Qr169QvdlZ2ejf//+WLFihSlxyszMxHPPPYeAgADs2rULU6ZMwZQpU9ChQwc89thjAAylUZs3b0bdunXh7Oz8UM+jOI899hiCg4OxcuVKNGjQAI6OjoXKxXr06IFPPvkEa9asweTJk03bN27ciMzMTPTo0QMA0LlzZwDAunXr0LJlS9N+GzZsKNL1rzyjjMaOlOvXr8cHH3xg+vB8vx49emDTpk24ceNGodfC6tWrYWNjY/qgbexSeeLEiUJJy++//15qLCUp6fk86u+Rvb19sa87lUqFbt26ITIyEs2aNTON9pRk/PjxiImJwaFDh3Du3Dk8++yz+Pzzz00/T5lMBiFEkfeQb7/9tsSyuUf1yy+/4NNPPzUlsunp6fjjjz/QqVOnQhen7tWhQwc4OTnhzJkzeO211yolLiJ6NEyciGqALVu24MaNG/j444/RtWvXIvcHBwdj0aJFWL58eZkTp8TERDz99NOmNtQzZsyARqPB1KlTH3hc06ZN8dNPP2HdunWoU6cONBoNmjZt+sBjnnzySbz//vuYMWMGunTpgvPnz2P27NkIDAws9KF1xIgR+Pzzz/Hiiy9izpw5qFevHrZs2YJt27YBKNzW++uvv0ZYWBj69OmDkSNHwtfXF7du3cLZs2dx7NgxrF+/vkzfh4rSpEkT9OjRA2FhYahbty5ycnLw33//Yd68efD09Cx2QdsxY8bgr7/+wrfffos+ffoUmf9SGfLz87F69WoEBQWVuABwv3798Pvvv5tGce79YGtra4t58+bh4MGDeP755xEZGQknJyfMnj0bERERaN++PSZOnIiGDRsiJycHV69exebNm7F06dKHXjdr9OjRCA8Px/nz5zFu3DhYW1ub7uvVqxf69OmDd955B2lpaejQoQNOnDiBGTNmICQkxLRAbpMmTTBkyBDMmzcPCoUC3bt3x+nTpzFv3jw4OjoWem0FBwcDAJYtWwZ7e3toNBoEBgaWOBo7f/58dOzYEY899himTJmCevXq4ebNm/j999/x9ddfw97eHjNmzDDNA5s+fTpcXFywdu1a/PXXX/jkk0/g6OgIAGjdujUaNmyIt956C/n5+XB2dsamTZtMI4QPo27durC2tsbatWsRFBQEOzs7+Pj4wMfHp9J+j7744gt07NgRnTp1wiuvvIKAgACkp6fj0qVL+OOPP0xz07799lusWbMGK1euRJMmTdCkSRO89tpreOedd9ChQwe0adMGDg4O6Ny5Mz799FO4ubkhICAAe/bswfLly+Hk5PTQ35cHUSgU6NWrF8LDw6HX6/Hxxx8jLS0Ns2bNKvEYOzs7fPnllxgxYgRu3bqFZ599Fh4eHkhKSsLx48eRlJRUZNSdiKqYdH0piKiqDBgwQKhUqlK7dimVSpGQkGDqDPXpp58W2c/Ynev7778XEydOFO7u7kKtVotOnTqJI0eOFNq3uK56V69eFb179xb29vYCgPD39y903vXr1xd5zNzcXPHWW28JX19fodFoRMuWLcWvv/4qRowYYTreKCYmRgwcOFDY2dkJe3t78cwzz4jNmzcLAOK3334rtO/x48fFoEGDhIeHh7CyshJeXl6ie/fupq6DD4ISuuodPny42O9XaR3Wvv76azFw4EBRp04dYWNjI1Qqlahbt64YP368qfXz/bRarfD09BQAxM8//1zsPhXdVe/XX381dTAribFT3bx588Q333xTbEe2S5cuCQcHBzFgwADTtqSkJDFx4kQRGBgorKyshIuLiwgNDRXTpk0TGRkZpv3u/96XJikpSahUKgFAHDp0qMj92dnZ4p133hH+/v7CyspKeHt7i1deeaVQW3chhMjJyRHh4eHCw8NDaDQa0bZtW3Hw4EHh6OgoJk+eXGjfBQsWiMDAQKFQKMrU4v7MmTPiueeeE66urkKlUonatWuLkSNHFmqHfvLkSdGvXz/h6OgoVCqVaN68ebHnvXDhgujdu7dwcHAQ7u7u4vXXXxd//fVXsV31mjRpUuT44n6vfvzxR9GoUSNhZWVV5Ptflt+jkn4/HiQ6OlqMHj1a+Pr6CisrK+Hu7i7at28v5syZI4QQ4sSJE8La2rpQR0MhDD+n0NBQERAQYPoZxsbGimeeeUY4OzsLe3t78fjjj4tTp04Jf3//QseXFGdJv0cjRowQtra2hWJGQYv4WbNmiVq1agmVSiVCQkLEtm3bCh1bUgfEPXv2iCeeeEK4uLgIKysr4evrK5544oli3xuJqGrJhOCy3URUvX344Yd49913ERMT89CjFkTFOXDgADp06IC1a9di6NChUodDErt69SoCAwPx6aef4q233pI6HCKqYCzVI6JqZdGiRQCARo0aIS8vDzt37sTChQvx4osvMmmiRxIREYGDBw8iNDQU1tbWOH78OD766CPUr1+/xOYIRERUfTBxIqJqxcbGBp9//jmuXr2K3Nxc1K5dG++88w7effddqUMjC+fg4IDt27djwYIFSE9Ph5ubG8LCwjB37txCa/YQEVH1xFI9IiIiIiKiUnABXCIiIiIiolIwcSIiIiIiIioFEyciIiIiIqJSMHEiIiIiIiIqBRMnIiIiIiKiUjBxIiIiIiIiKgUTJyIiIiIiolIwcSIiIiIiIioFEyciIiIiIqJSMHEiIiIiIiIqBRMnIiIiIiKiUjBxIiIiIiIiKgUTJyIiIiIiolIwcSIiIiIiIioFEyciIiIiIqJSMHEiIiIiIiIqBRMnIiIiIiKiUjBxIiIiIiIiKgUTJyIiIiIiolIwcSIiIiIiIioFEyciIiIiIqJSMHEiIiIiIiIqBRMnIiIiIiKiUjBxIiIiIiIiKgUTJyIiIiIiolIwcSIiIiIiIioFEyciIiIiIqJSMHEiIiIiIiIqBRMnIiIiIiKiUjBxIiIiIiIiKgUTJyIiIiIiolIwcSIiIiIiIioFEyciIiIiIqJSKKUOoKrp9XrcuHED9vb2kMlkUodDRFSjCCGQnp4OHx8fyOW8dmfEv01ERNIoz9+lGpc43bhxA35+flKHQURUo12/fh21atWSOgyzwb9NRETSKsvfJUkTp7179+LTTz/F0aNHER8fj02bNmHAgAFlOvaff/5Bly5dEBwcjKioqDI/pr29PQDDN8fBweEhoiYiooeVlpYGPz8/03sxGfBvExGRNMrzd0nSxCkzMxPNmzfHqFGj8Mwzz5T5uNTUVAwfPhw9evTAzZs3y/WYxhIIBwcH/nEiIpIIy9EK498mIiJpleXvkqSJU1hYGMLCwsp93Lhx4zB06FAoFAr8+uuvFR8YERERERHRPSxuZu7KlStx+fJlzJgxo0z75+bmIi0trdCNiIiIiIioPCwqcbp48SKmTJmCtWvXQqks22DZ3Llz4ejoaLpx8i0REREREZWXxXTV0+l0GDp0KGbNmoUGDRqU+bipU6ciPDzc9LVxAhgRkU6nQ15entRhVCsKhQJKpZJzmCqBEAL5+fnQ6XRSh1Lt8HVLRGVhMYlTeno6jhw5gsjISLz22msADOteCCGgVCqxfft2dO/evchxarUaarW6qsMlIjOXkZGB2NhYCCGkDqXasbGxgbe3N1QqldShVBtarRbx8fHIysqSOpRqi69bIiqNxSRODg4OOHnyZKFtixcvxs6dO7FhwwYEBgZKFBkRWRqdTofY2FjY2NjA3d2dV5kriBACWq0WSUlJiI6ORv369bnIbQXQ6/WIjo6GQqGAj48PVCoVX7MViK9bIiorSROnjIwMXLp0yfR1dHQ0oqKi4OLigtq1a2Pq1KmIi4vD6tWrIZfLERwcXOh4Dw8PaDSaItuJiB4kLy8PQgi4u7vD2tpa6nCqFWtra1hZWeHatWvQarXQaDRSh2TxtFot9Ho9/Pz8YGNjI3U41RJft0RUFpImTkeOHEG3bt1MXxvnIo0YMQKrVq1CfHw8YmJipAqPiKo5XrWvHLxaXzn4fa1c/P4SUWkkTZy6du36wPkFq1ateuDxM2fOxMyZMys2KCIiIiIiovvw8goREREREVEpmDgRERERERGVgokTEVENceXKFQwZMgQ+Pj7QaDSoVasW+vfvjwsXLuDmzZuwsrLCmjVrij123LhxaNasGQBDmXSLFi2qMPKqtXfvXvTr1w8+Pj6QyWT49ddfSz1mz549CA0NhUajQZ06dbB06dLKD9QCjBw5EgMGDAAA9OvXDz179ix2v4MHD0Imk+HYsWPF3s/XLhGZAyZOREQ1gFarRa9evZCWloZffvkF58+fx7p16xAcHIzU1FR4enriiSeewMqVK4scm52djZ9++gljxoyRIPKql5mZiebNm2PRokVl2j86Ohp9+/ZFp06dEBkZif/973+YOHEiNm7cWMmRWpYxY8Zg586duHbtWpH7VqxYgRYtWqBly5ZF7uNrl4geJE+nR25+1SwMbjHrOBFR+az8Jxq7zychPScPb/RsgC4N3KUOyWwJIZCdVzVvuveztlKUq7tfeno6xo8fj19//RUODg74v//7P/z2229o0aIFFixYUOJxZ86cwZUrV7Bz5074+/sDAPz9/dGhQwfTPmPGjEH//v1x9epVBAQEmLZv2LABOTk5ePHFF8v9/CxRWFgYwsLCyrz/0qVLUbt2bdP3PygoCEeOHMFnn32GZ555plJilOo1W97X672efPJJeHh4YNWqVZgxY4Zpe1ZWFtatW4cPP/yw2OP42iWiB1l3+DqW7L6MaU8EoW9T70p9LCZORNXQ9VtZmPXHGdPXX+64yMTpAbLzdGg8fZskj31mdh/YqMr+VhweHo5//vkHv//+Ozw9PTF9+nQcO3as1PIjd3d3yOVybNiwAZMmTYJCoSiyT9++feHl5YVVq1YV6li6YsUKDBgwAK6urmWOsyY5ePAgevfuXWhbnz59sHz5cuTl5cHKyqrIMbm5ucjNzTV9nZaWVq7HlOo1W97X672USiWGDx+OVatWYfr06aYEbP369dBqtXjhhReKPY6vXSIqSbZWh4U7LiIxPRdJ6bmlH/CIWKpHVA1FnLkJAKjjZgsAiLx+B2k5eVKGRBUgPT0d3333HT777DP06NEDwcHBWLlyJXS60kcefH19sXDhQkyfPh3Ozs7o3r073n//fVy5csW0j0KhMH2wNS4VER0djT179rDU6QESEhLg6elZaJunpyfy8/ORnJxc7DFz586Fo6Oj6ebn51cVoUpu9OjRuHr1Knbv3m3atmLFCgwcOBDOzs7FHsPXLhGVZNWBq0hMz0UtZ2sMaVO70h+PI05E1ZAxcRr6WG38cCgGV5IyceBSMh4PrtwhbEtlbaXAmdl9JHvssrpy5Qry8vLQpk0b0zZHR0c0bNiwTMe/+uqrGD58OHbt2oX//vsP69evx4cffojff/8dvXr1AmAoefr444+xc+dO9OjRAytWrECtWrVKnNRPBveXrxk/vJdU1jZ16lTTou+AYcSpPMmTVK/Z8rxei9OoUSO0b98eK1asQLdu3XD58mXs27cP27dvf+BxfO0S0f1Ss/OwdM9lAEB4rwZQKSt/PIgjTkTVzJ0sLQ5dvQUA6N3YC53rG0r09l4s/so3GT7c2qiUktzKM1+kpA/jD1pI/H729vZ46qmn8MEHH+D48ePo1KkT5syZY7q/fv366NSpE1auXAm9Xo/vvvsOo0aNglzOPxcl8fLyQkJCQqFtiYmJUCqVJZaIqdVqODg4FLqVh1Sv2Yed33SvMWPGYOPGjUhLS8PKlSvh7++PHj16lHocX7tEdK9ley8jNTsPDTzt0L+Fb5U8Jt9NiKqZ3eeToNMLNPS0R21XG3Ru4AYA2HshqVwfsMn81K1bF1ZWVjh06JBpW1paGi5evPhQ55PJZGjUqBEyMzMLbR8zZgx++eUXbNy4EbGxsRg1atQjxV3dtWvXDhEREYW2bd++Ha1atSp2flNNN2jQICgUCvzwww+m5Ka8CRlfu0Q1W2J6DlbsvwoAeKt3Qyjkj35RpyyYOBFVM3suJAEAegR5AADa1nGFSiFH7O1sRCdnPuhQMnP29vYYMWIE3n77bezatQunT5/G6NGjIZfLS/3gGRUVhf79+2PDhg04c+YMLl26hOXLl2PFihXo379/oX2fe+45WFlZYdy4cejRo0ehLmU1QUZGBqKiohAVFQXAMFcmKioKMTExAAxldsOHDzftP378eFy7dg3h4eE4e/YsVqxYgeXLl+Ott96SInyzZ2dnh8GDB+N///sfbty4gZEjRz5wf752ieh+X+28hOw8HUJqO6FXY8/SD6ggTJyIqpkzNwzduUL9DROtbVRKNPYxlAGdS0iXLC6qGPPnz0e7du3w5JNPomfPnujQoQOCgoKg0WgeeFytWrUQEBCAWbNm4bHHHkPLli3xxRdfYNasWZg2bVqhfW1sbPD888/j9u3bGD16dGU+HbN05MgRhISEICQkBIChk2FISAimT58OAIiPjzclUQAQGBiIzZs3Y/fu3WjRogXef/99LFy4sNJakVcHY8aMwe3bt9GzZ0/Urv3gCd187RLRvWJvZ+GHQ4b34Lf7NKyQEuKykokaVruTlpYGR0dHpKamlrumnMjcafP1aDx9K/L1Avvf6YZazjYAgDd+isRvUTcwNawRxnWpK3GU0svJyUF0dDQCAwNLTTjMXWZmJnx9fTFv3jyz6R72oO8v34OL96DvS3V6vZozfp+JLMP/bTiOn4/EomM9N6wZ+9gjn688f5fYVY+oGolOzkS+XsBOrYSvk7Vpu19BAnX9dpZUoVEFiYyMxLlz59CmTRukpqZi9uzZAFCkZImIiKi6uZKUgY3H4gAA4b0bVPnjM3EiqkbOJRjK9Bp42hUauq7tYkicYm5lSxIXVazPPvsM58+fh0qlQmhoKPbt24ezZ88iLCysxGMyMjKqMEIiIqKK98WOi9DpBXo08kDL2sWv/VaZmDgRVSMXbhrmMDX0KjzUXMvFMPoUe4sjTpYuJCQER48eLbI9Ozvb1MyAiIioujmfkI7fj98AAEzuVfWjTQATJ6Jq5XxB84eGnnaFthtL9WJvZ0OvF5BXUdtOqjrW1taoV6+e1GEQERFVis8jLkAIoG9TLwT7OkoSA7vqEVUj50sYcfJ21EApl0Gr0+Nmeo4UoZmlGtYbp8rw+1o5+H2tXPz+Epmvk7Gp2Ho6ATIZMLmnNKNNABMnomojIzcf1wvmMDX0si90n1Ihh09Bs4jrnOcEhUIBANBqtRJHUj1lZRlKQrn4a8Uwfh+N31eqHHzdEpmveRHnAQADWviivqd9KXtXHpbqEVUTFwtGm9zt1XCxVRW5v7aLDWJuZSHmVhbaBLpUdXhmRalUwsbGBklJSbCysoJczmtIFUEIgaysLCQmJsLJycmUoNKjUSgUcHJyQmJiIgDDWkVVuW5JdcfXLZF5O3L1FnafT4JCLsOknvUljYWJE1E1cS3FcLW0jpttsff7uRhHnHjVWiaTwdvbG9HR0bh27ZrU4VQ7Tk5O8PLykjqMasX4/TQmT1Tx+LolMk/ztl8AAAxqVQv+rsV/xqkqTJyIqomYgoTI39Wm2PtrcS2nQlQqFerXr89yvQpmZWXFK/aVwJjse3h4IC8vT+pwqh2+bonM04FLyTh4JQUqhRyvdZd2tAlg4kRUbRgTJ+OaTfczbueI011yuRwajUbqMIjKTKFQ8AM+EdUIQgh8ut0wt2noY7XhWzBXW0os7CeqJoyJk18JiVMtZ8MbTtxtNocgIiIi87brfCIiY+5AYyXHhK51pQ4HABMnomrjeikjTm52agBASqaWbXeJiIjIbOn1wjS3aUS7AHg4mEd1CBMnomogJ0+HhDTD+kwljTi52hk67eXm65Gp1VVZbERERETlse10Ak7fSIOtSoFxXcxjtAlg4kRULcTdyYYQgI1KAddiWpEDgI1KCRuVYW5ESkZuVYZHREREVCY6vcD8CMNo05iOgcUusSIVJk5E1cC9jSEetL6LcdQpOYOd5IiIiMj8bD4Zj4uJGXDQKDGmUx2pwymEiRNRNXC9lMYQRq62BfOcOOJEREREZkavF1i44yIAYEzHOnC0tpI4osKYOBFVAzEpD24MYWQs40vJ5IgTERERmZfNpwyjTfYaJUZ2CJA6nCKYOBFVA6Wt4WRkLNXjiBMRERGZE71e4Iu/jaNNgWY32gQwcSKqFsqeON1tSU5ERERkLu4dbRrVIVDqcIrFxImoGoi7Y1jU1rjIbUlMpXpsDkFERERmovDcJvMcbQKYOBFZvPScPKTn5AMAvJ0enDjdXQSXpXpERERkHracSsCFm+Y92gQwcSKyePGphoVvHTRK2KmVD9z37hwnjjgRERGR9PR6gS92GNZtGt3BfEebACZORBbvRkGZnk8po03A3XbkXMeJiIiIzMG9o02jO5rvaBPAxInI4t24YxhxKlPiVDDidCszF3q9qNS4iIiIiB7k3rlN5j7aBDBxIrJ48amGESdvR02p+zrbGBInvQDuZOdValxERERED7L1dALO30yHvVqJ0WY8t8mIiRORhYsrR6meSik3Xc3hWk5EREQklXvXbRrVMRCONuY92gRInDjt3bsX/fr1g4+PD2QyGX799dcH7v/LL7+gV69ecHd3h4ODA9q1a4dt27ZVTbBEZireVKpX+ogTcE+DCK7lRERERBLZds9o0xgLGG0CJE6cMjMz0bx5cyxatKhM++/duxe9evXC5s2bcfToUXTr1g39+vVDZGRkJUdKZL6MpXo+jqWPOAGAW0GDCHbWIyIiIikYOulZ1mgTADy4d3ElCwsLQ1hYWJn3X7BgQaGvP/zwQ/z222/4448/EBISUsHREZk/IQRupJa9OQRw74gTS/WIiIio6m07nYBzCZY12gRInDg9Kr1ej/T0dLi4uJS4T25uLnJz735ATEtLq4rQiKpESqYW2nw9ZDLA06FspXrOtlzLiYiIiKRRaLSpQ4DFjDYBFt4cYt68ecjMzMSgQYNK3Gfu3LlwdHQ03fz8/KowQqLKZZzf5G6nhkpZtl9nY3OItBx21SMiIqKqteNcIs4lpMNObf7rNt3PYhOnH3/8ETNnzsS6devg4eFR4n5Tp05Famqq6Xb9+vUqjJKochk76nmXsUwPuJs4pbIdOREREVUhIQQW7TSMNg1r5w+ngmVSLIVFluqtW7cOY8aMwfr169GzZ88H7qtWq6FWq6soMqKqZWwM4VvGjnoA4KApGHFi4kRERERVaP+lZByPTYXGSo4xFjbaBFjgiNOPP/6IkSNH4ocffsATTzwhdThEkkooaAzh5VD+Eae07PxKiYmIiIioOIt2XgIAPN+6NtzsLG9gQ9LEKSMjA1FRUYiKigIAREdHIyoqCjExMQAMZXbDhw837f/jjz9i+PDhmDdvHtq2bYuEhAQkJCQgNTVVivCJJJeQVpA4OZb9zYelekSlW7x4MQIDA6HRaBAaGop9+/Y9cP+vvvoKQUFBsLa2RsOGDbF69eoqipSIyDIcvnoL/0XfgpVChnFd6kgdzkORNHE6cuQIQkJCTK3Ew8PDERISgunTpwMA4uPjTUkUAHz99dfIz8/Hq6++Cm9vb9PtjTfekCR+IqkZR5zK2lEPABysDRW6TJyIirdu3TpMmjQJ06ZNQ2RkJDp16oSwsLBCf4/utWTJEkydOhUzZ87E6dOnMWvWLLz66qv4448/qjhyIiLzZRxteja0FrzLuPakuZF0jlPXrl0hhCjx/lWrVhX6evfu3ZUbEJGFuWkccSpH4sSuekQPNn/+fIwZMwZjx44FYFhDcNu2bViyZAnmzp1bZP/vv/8e48aNw+DBgwEAderUwb///ouPP/4Y/fr1q9LYiYjM0cnYVOy5kAS5DBjfpa7U4Tw0i5vjREQGQoh7SvXKnzhlaXXI0+krJTYiS6XVanH06FH07t270PbevXvjwIEDxR6Tm5sLjabw76C1tTUOHTqEvLziL1Dk5uYiLS2t0I2IqLr6apdhtKl/C1/4u9pKHM3DY+JEZKHSsvORk2dIfMpTqmevubvQHMv1iApLTk6GTqeDp6dnoe2enp5ISEgo9pg+ffrg22+/xdGjRyGEwJEjR7BixQrk5eUhOTm52GO4xiAR1RQXbqZj62nD++eErpY72gQwcSKyWPFphlbkTjZW0FgpynycQi6DvdpQpcuW5ETFk8lkhb4WQhTZZvTee+8hLCwMbdu2hZWVFfr374+RI0cCABSK4n83ucYgEdUUiwtGmx5v4oX6nvYSR/NomDgRWai7rcjLPtpk5MDOekTFcnNzg0KhKDK6lJiYWGQUysja2horVqxAVlYWrl69ipiYGAQEBMDe3h5ubm7FHqNWq+Hg4FDoRkRU3VxLycTvx28AAF7rXk/iaB4dEyciC3XzIeY3GbElOVHxVCoVQkNDERERUWh7REQE2rdv/8BjraysUKtWLSgUCvz000948sknIZfzzywR1VxLdl+GXgBdG7oj2NdR6nAemaRd9Yjo4SWk5gJ42BEntiQnKkl4eDiGDRuGVq1aoV27dli2bBliYmIwfvx4AIYyu7i4ONNaTRcuXMChQ4fw2GOP4fbt25g/fz5OnTqF7777TsqnQUQkqRt3srHxWCwA4LVulj/aBDBxIrJYxo565WkMYXS3JXl+hcZEVB0MHjwYKSkpmD17NuLj4xEcHIzNmzfD398fQNE1BnU6HebNm4fz58/DysoK3bp1w4EDBxAQECDRMyAikt6yvVeQpxN4LNAFrQJcpA6nQjBxIrJQFVGqx+YQRMWbMGECJkyYUOx9968xGBQUhMjIyCqIiojIMiSl5+Knw4YLTK93ry9xNBWHxddEFupRmkNwjhMRERFVluX7o5GTp0dzPyd0qOcqdTgVhokTkYW6+Qileg4ajjgRERFRxUvNzsOaf68BMMxtKmkpB0vExInIAuXm65CSqQXwkKV6NhxxIiIiooq35t9ryMjNR0NPe/Ro5CF1OBWKiRORBUpMM3TUUynlcC5IgsqDpXpERERU0XLydFj5z1UAwLgudSCXV5/RJoCJE5FFulump36oIXBTqV4OEyciIiKqGBuPxSI5Ixe+Ttbo19xH6nAqHBMnIgtkbEX+MI0hAMCBI05ERERUgXR6gWV7rwAAxnYKhJWi+qUZ1e8ZEdUAxo56D9MYArinVC+LiRMRERE9ui2n4nEtJQvONlYY3NpP6nAqBRMnIgt08xFHnIyJU3puPvR6UWFxERERUc0jhMDSPZcBAMPbBcBGVT2XimXiRGSBEgqaQzxMRz0AcLA2vKEJYUieiIiIiB7WP5dScCouDRorOUa0D5A6nErDxInIAt18xFI9tVIBtdLw65/OBhFERET0CIyjTc+3rg0XW5XE0VQeJk5EFsjUHOIhR5wAwF5jGHXK4IgTERERPaSTsanYfykZCrkMYzoGSh1OpWLiRGRhhBCP3FUPAOzUBYlTDhMnIiIiejhL9xpGm/o184afi43E0VQuJk5EFuZOVh60+XoAgIeD+qHPY1cw4sQ5TkSWLzUrDwcuJ0sdBhHVMFeTM7HlZDwAYFyXuhJHU/mYOBFZGONok6utCmql4qHPwxEnouohMS0HAxb/g9GrDuNE7B2pwyGiGmTZvivQC6BrQ3cEeTtIHU6lY+JEZGGMidPDNoYwslMbWpJzjhORZXO1U8Pf1QY5eXq8tPqIaZ03IqLKlJiegw1HYwEA42vAaBPAxInI4hg/FD1KYwjgbnMIdtUjsmwKuQxfDglBfQ873EzLxUurjyBbq5M6LCKq5lYfuAZtvh4htZ3wWKCL1OFUCSZORBYm4RFbkRuZuuqxVI/I4tlrrLB8RGu42KpwMi4Vb66P4uLWRFRpsrT5+P7fawCAcZ3rQCaTSRxR1WDiRGRhblZARz3g7hwnNocgqh5qu9pg6YuhsFLIsPlkAhb8fUHqkIiomtpwNBap2Xnwd7VBr8ZeUodTZZg4EVmYu2s4PXxHPeBuVz2OOBFVH20CXfDh000BAAt3XsJvUXESR0RE1Y1OL7B8fzQAYEzHQCjkNWO0CWDiRGRxKqxUT80FcImqo+da+WFclzoAgLc3nMCxmNsSR0RE1UnEmQRcS8mCo7UVng2tJXU4VYqJE5GFMZbqeTtaP9J5TCNOTJyIqp3/69MIPYM8oc3X4+XVRxF3J1vqkIiomvhmn2G0aVhbf9iolBJHU7WYOBFZkJw8HW5nGbrgPfocJ0M78nSW6hFVOwq5DF883wKNvOyRnJGLsd8dQSYvkhDRIzp67TaOXrsNlUKO4e39pQ6nyjFxIrIgxtEmaysFHKwf7SqPHUv1iKo1W7USy0e2hpudCmfj0zBpHTvtEdGj+XbfFQBA/xY+8LB/tAu4loiJE5EFib9nDadHbf3JduRE1Z+vkzW+HtYKKqUcEWdu4pNt56UOiYgs1LWUTGw7nQAAeKlzHYmjkQYTJyILYhxx8nR4tI56wD3tyLkALlG1FurvjE+eaQYAWLrnMjYcjZU4IiKyRCv2R0MvgC4N3NHA017qcCTBxInIghg76j1qYwjgbnOITK0OOpbvEFVrA0J88Xr3egCA//1ykp32iKhc7mRp8fMRw0WXlzrVzNEmgIkTkUWJr6BW5MDdUj0AyNSyXI+oupvcswH6NPGEVqfH+O+PmkawiYhKs/a/GGTn6RDk7YAO9VylDkcyTJyILMjdVuSPnjiplQqoFIa3AM5zIqr+5HIZ5g1qgYae9khMz8XL3x9FTp5O6rCIyMzl5uuw6sBVAMBLnQIfeY61JWPiRGRBKnLECeBaTkQ1jZ1aiW+Gt4KTjRWOX7+DaZtOQQiW6hJRyX6PuoGk9Fx4OWjwZDMfqcORFBMnIgtiHHHyqoARJ+DeBhFMnIhqitquNvhqaEso5DJsPBaLFf9clTokIjJTQggs329Y8HZkhwColDU7dajZz57Iguj0AonpuQAqplQP4FpORDVVh3pumNY3CADwwV9nsP9issQREZE5OnA5BecS0mGjUmBIm9pShyM5Jk5EFiI5Ixc6vYBCLoOb3aO3IwfuKdXjiBNRjTOqQwCeDa0FvQBe/eEYrqVkSh0SEZmZlf8YRpueDa0FR2sriaORnqSJ0969e9GvXz/4+PhAJpPh119/LfWYPXv2IDQ0FBqNBnXq1MHSpUsrP1AiM2BsRe5hr4ZCXjETM+25lhNRjSWTyTBnQDBa+DkhNTsPL60+wtFnIjK5mpyJHecSAQAj2wdIG4yZkDRxyszMRPPmzbFo0aIy7R8dHY2+ffuiU6dOiIyMxP/+9z9MnDgRGzdurORIiaRX0Y0hADaHICrJ4sWLERgYCI1Gg9DQUOzbt++B+69duxbNmzeHjY0NvL29MWrUKKSkpFRRtA9PY6XA18NC4WGvxoWbGQhfFwU913UjIgCrDlyFEEC3hu6o424ndThmQdLEKSwsDHPmzMHAgQPLtP/SpUtRu3ZtLFiwAEFBQRg7dixGjx6Nzz77rJIjJZKeqTFERSZObA5BVMS6deswadIkTJs2DZGRkejUqRPCwsIQExNT7P779+/H8OHDMWbMGJw+fRrr16/H4cOHMXbs2CqO/OF4OmiwbHgrqJRybD9zE1/suCh1SEQksbScPKw/ch0AMLpjoMTRmA+LmuN08OBB9O7du9C2Pn364MiRI8jLK77UKDc3F2lpaYVuRJbIOOJUUR31AI44ERVn/vz5GDNmDMaOHYugoCAsWLAAfn5+WLJkSbH7//vvvwgICMDEiRMRGBiIjh07Yty4cThy5EgVR/7wWvg5Ye7TTQEAX+y4iC0n4yWOiIik9PPh68jU6lDfww4d67lJHY7ZsKjEKSEhAZ6enoW2eXp6Ij8/H8nJxXcEmjt3LhwdHU03Pz+/qgiVqMJVdCty4O4cJzaHIDLQarU4evRokYt0vXv3xoEDB4o9pn379oiNjcXmzZshhMDNmzexYcMGPPHEEyU+jjle1HsmtBbGFFxZfnP9cZxLkD4mIqp6Or3AdwevAgBGdajZC97ez6ISJwBFfnjGhftK+qFOnToVqampptv169crPUaiyhCfmg2g4lqRA4C9xtAhhyNORAbJycnQ6XTFXqRLSEgo9pj27dtj7dq1GDx4MFQqFby8vODk5IQvv/yyxMcx14t6U8MaoWM9N2RpdRj3/VGkZrNxDFFN8/fZm7h+KxtONlZ4OsRX6nDMikUlTl5eXkX+cCUmJkKpVMLV1bXYY9RqNRwcHArdiCzRzTTDGk4V2RzC1jjHiYkTUSHFXaQr6QLdmTNnMHHiREyfPh1Hjx7F1q1bER0djfHjx5d4fnO9qKdUyPHlkBDUcrbGtZQsTGazCKIax9iCfEib2rBWKSSOxrxYVOLUrl07REREFNq2fft2tGrVClZW7C1P1ZcQwtSOvGKbQxjeEDOZOBEBANzc3KBQKIq9SHf/KJTR3Llz0aFDB7z99tto1qwZ+vTpg8WLF2PFihWIjy9+rpA5X9RztlVh6YuhUCvl2HkuEQt3slkEUU1x+kYq/r1yCwq5DMPa+ksdjtmRNHHKyMhAVFQUoqKiABjajUdFRZk6F02dOhXDhw837T9+/Hhcu3YN4eHhOHv2LFasWIHly5fjrbfekiJ8oiqTlp2P7DwdgIqd42QccWLiRGSgUqkQGhpa5CJdREQE2rdvX+wxWVlZkMsL/zlVKAwXJYzl5JYm2NcRHxQ0i1jw90XsOHtT4oiIqCqs+ucqACAs2As+TtbSBmOGJE2cjhw5gpCQEISEhAAAwsPDERISgunTpwMA4uPjC7V/DQwMxObNm7F79260aNEC77//PhYuXIhnnnlGkviJqkpCQWMIJxsraKwqbtjcRsWuekT3Cw8Px7fffosVK1bg7NmzmDx5MmJiYkyld/df1OvXrx9++eUXLFmyBFeuXME///yDiRMnok2bNvDx8ZHqaTyyZ0NrYXg7wxXnSeuicDU5U+KIiKgyJWfk4reoGwDYgrwkSikfvGvXrg+8Grdq1aoi27p06YJjx45VYlRE5sfYGKIiy/SAu+s4ccSJ6K7BgwcjJSUFs2fPRnx8PIKDg7F582b4+xuSiPsv6o0cORLp6elYtGgR3nzzTTg5OaF79+74+OOPpXoKFebdJxrj9I00HL12G+O+P4pNr7Y3XXAhoupl7b8x0Or0aO7nhJa1naUOxyzx3Y/IAlRGK3IAsDXNcdJV6HmJLN2ECRMwYcKEYu8r7qLe66+/jtdff72So6p6KqUci19oiSe/3I/zN9PxzsaTWPh8C7YnJqpmcvN1WPPfNQDA6A4B0gZjxiyqOQRRTZWQauioV5GtyIG7I05anR7afH2FnpuIqgdPBw2+GtoSSrkMfxy/gRUFcyCIqPrYcjIBSem58HRQo29Tb6nDMVtMnIgsQEKaoVSvIluRA3ebQwBAlpblekRUvDaBLnj3iSAAwIebz+LfKykSR0REFcm44O0Lj/nDSsH0oCT8zhBZgMpoRQ4AVgo5VErD2wAbRBDRg4xoH4CnQ3yh0wu89sMx09xLIrJsJ2NTERlzB1YKGYa0qS11OGaNiRORBYhPrZw5TsC9DSI4z4mISiaTyfDh000R5O2A5AwtXllzDLn5fN8gsnSrC0ab+jb1hru9WtpgzBwTJyILUFnNIYC7DSI44kREpbFWKfD1i6Fw0CgRdf0OZv5+RuqQiOgR3M7U4rfjhhbkw9sFSBuMBWDiRGTmsrT5uJ2VBwCVshidrYotyYmo7Gq72uCLISGQyYAfD8Vgw9FYqUMiooe07sh1aPP1CPZ1QMvaTlKHY/aYOBGZuRt3DPMI7NVKOGisKvz8XMuJiMqrW0MPvNGjPgDg3V9P4lxCmsQREVF56fQCa/41tCAf3jaAywyUARMnIjMXd8dQpufrXPGjTQBgU5A4sVSPiMrj9e710am+G3Ly9Jiw9hjfQ4gszK5ziYi9nQ0nGys81cJH6nAsAhMnIjNnHHGqjDI9ALAzLYLLDz1EVHYKuQwLBreAl4MGV5IyMWXjCQghpA6LiMrI2IJ8cCs/aKwU0gZjIZg4EZm5u4lTxTeGAO6Z46RldywiKh9XOzW+eiEESrkMf56Ix/cFZT9EZN6uJGVg38VkyGTAi239pQ7HYjBxIjJzcbcrd8TJlnOciOgRhPq7YEpYIwDA+3+eQdT1O9IGRESlMl7k6N7QA34uNhJHYzmYOBGZubiCESffSivVY+JERI9mTMdAPN7EC3k6gVfXHsOdLK3UIRFRCTJz87HhiKEb5vD2AdIGY2GYOBGZuRuplZs42ZqaQ7BUj4gejkwmwyfPNYO/qw3i7mQj/Ofj0Os534nIHP0aFYf03HwEuNqgUz03qcOxKEyciMyYTi+QkGroqsfmEERkzhw0Vlj8QkuolHLsPJeIJXsuSx0SEd1HCIHVBwxlesPaBUAuZwvy8mDiRGTGkjNykacTUMhl8LBXV8pjmOY4aZk4EdGjaeLjiNlPNQEAzNt+Hgcvp0gcERHd61D0LZy/mQ5rKwWeDa0ldTgWh4kTkRmLLWgM4eWggVJROb+utlzHiYgq0ODWfhjY0hd6Abz+YyQS03OkDomICqw+aBhtGhDiC0drK4mjsTxMnIjMWGW3IgfYHIKIKpZMJsOcAcFo6GmP5IxcTPwxEvk6vdRhEdV4iek52HY6AQAwjC3IHwoTJyIzdqOSO+oBgI3KOMeJzSGIqGLYqJRY/GJL2KoU+PfKLcyPuCB1SEQ13vojscjXC7Ss7YTGPg5Sh2ORmDgRmbG7I06VlzjZsVSPiCpBXXc7fPRMMwDA4t2XsfdCksQREdVcOr3Aj4diAAAvPMbRpofFxInIjMVVQeJ07wK4QrB9MBFVnH7NffDCY7UBAOE/R3G+E5FE9l5MQuztbDhaW+GJZt5Sh2OxmDgRmbG4O4YPGZVZqmdMnPL1AlrOQyCiCvbek43RyMseyRlaTF4XBR3XdyKqcmv/NYw2PdOyFjRWComjsVxMnIjMWFWU6tmq7r6Bcp4TEVU0jZUCi4a2hLWVAv9cSsGS3ZekDomoRolPzcbOczcBAEMLRoDp4TBxIjJTGbn5SM3OA1C5XfWUCjk0Voa3AnbWI6LKUM/DDrP7G9Z3mh9xAYeib0kcEVHN8dOh69AL4LFAF9TzsJM6HIvGxInITMUXjDY5aJSw11TuWgtsEEFEle3Z0FoYGGJY3+mNnyJxO1MrdUhE1V6+To+fDhc0hWAL8kfGxInITMVWQZmekS3XciKiSiaTyfD+gGDUcbNFfGoO3lp/nA1piCrZznOJuJmWC1dbFfo08ZQ6HIvHxInITFXFGk5GtiqOOBFR5bNVK/Hl0BColHLsOJeIFf9clTokompt7X+G0aZnW9WCWsmmEI+KiRORmaqKxhBGdqYRJzaHIMs0cuRI7N27V+owqAya+Dji3SeCAAAfbTmLE7F3pA2IqJqKScnC3ouG9dOGtmFTiIrAxInITN0wtiJ3rvzEyUZtuArFUj2yVOnp6ejduzfq16+PDz/8EHFxcVKHRA8wrK0/Hm/ihTydwGs/RCItJ0/qkIiqnR8Px0AIoFN9N/i72kodTrXAxInITMXdrvo5TizVI0u1ceNGxMXF4bXXXsP69esREBCAsLAwbNiwAXl5/FBubmQyGT5+thl8nawRcysL0zad4nwnogqkzddj/ZHrAGBahJoeHRMnIjMVZ5rjVHmtyI3sVGwOQZbP1dUVb7zxBiIjI3Ho0CHUq1cPw4YNg4+PDyZPnoyLFy9KHSLdw9HaCl8ODYFCLsMfx29g4zGOEhJVlO1nEpCcoYWHvRo9gtgUoqIwcSIyQzq9QEKaoVSvSrvqaTnHiSxffHw8tm/fju3bt0OhUKBv3744ffo0GjdujM8//1zq8OgeLWs7I7xXAwDA9N9O4WpypsQREVUPa/81NIV4vrUfrBT8uF9R+J0kMkM303Kg0wso5DJ42FfBiBPnOJGFy8vLw8aNG/Hkk0/C398f69evx+TJkxEfH4/vvvsO27dvx/fff4/Zs2dLHSrdZ3yXungs0AVZWh3e+CkSeTq91CERWbQrSRk4eCUFchkwmE0hKpRS6gCIqKhY0/wmDRRyWaU/HtdxIkvn7e0NvV6PIUOG4NChQ2jRokWRffr06QMnJ6cqj40eTCGX4fPBLRD2xT4cj03F5xEX8H+PN5I6LCKLta5gblOXBu5VsqRJTcIRJyIzFHMrCwBQ28WmSh6PzSHI0n3++ee4ceMGvvrqq2KTJgBwdnZGdHR01QZGZeLjZI2PBjYFACzZcxkHLidLHBGRZcrT6bHxaCwA4HmONlU4Jk5EZuh6QeLk51w1iZNpHSctEyeyTLt27Sq2e15mZiZGjx5d7vMtXrwYgYGB0Gg0CA0Nxb59+0rcd+TIkZDJZEVuTZo0Kffj1mRhTb3xfGs/CAGErzuO25laqUMisjg7zyUiOUMLNzs1ujfykDqcaoeJE5EZMiVOVT7ixOYQZJm+++47ZGdnF9menZ2N1atXl+tc69atw6RJkzBt2jRERkaiU6dOCAsLQ0xMTLH7f/HFF4iPjzfdrl+/DhcXFzz33HMP9Vxqsun9GqOOmy0S0nIw9ZeTbFFOVE7rDhvK9J4J9WVTiErA7yiRGbp+u4pL9VRsDkGWKS0tDampqRBCID09HWlpaabb7du3sXnzZnh4lO+q6/z58zFmzBiMHTsWQUFBWLBgAfz8/LBkyZJi93d0dISXl5fpduTIEdy+fRujRo2qiKdYo9iolFg4JARWChm2nk7ATwUfAomodAmpOdh9PhEAMLiVn8TRVE9sDkFkhmIkGnFi4kSWxsnJyVQa16BBgyL3y2QyzJo1q8zn02q1OHr0KKZMmVJoe+/evXHgwIEynWP58uXo2bMn/P39S9wnNzcXubm5pq/T0tLKHGN1F+zriLf7NMSHm89h1h+n0TrABfU87KQOi8jsbTh6HXoBtAl0QR13/s5UBslHnMpTRw4Aa9euRfPmzWFjYwNvb2+MGjUKKSkpVRQtUeXLydPhZprhAxWbQxA92K5du7Bjxw4IIbBhwwbs3LnTdNu/fz9iYmIwbdq0Mp8vOTkZOp0Onp6FF4z09PREQkJCqcfHx8djy5YtGDt27AP3mzt3LhwdHU03Pz9eHb7X2I510LGeG3Ly9Hjjp0jk5rOMmOhB9Hph6qbH0abKI2niVN468v3792P48OEYM2YMTp8+jfXr1+Pw4cOl/oEisiTGVuS2KgWcbayq5DHt7hlx4pwCsiRdunRB165dER0djQEDBqBLly6mW7t27eDj4/NQ55XJCi8DIIQosq04q1atgpOTEwYMGPDA/aZOnYrU1FTT7fp1lqTdSy6XYd6g5nC2scLpG2n4bNt5qUMiMmsHr6Tg+q1s2KuV6NvUW+pwqi1JE6fy1pH/+++/CAgIwMSJExEYGIiOHTti3LhxOHLkSBVHTlR5jPOb/FxsyvRBrSLYFiyAqxdAbj4XnyTLcOLECej1htdramoqTp48iRMnThR7Kys3NzcoFIoio0uJiYlFRqHuJ4TAihUrMGzYMKhUqgfuq1ar4eDgUOhGhXk6aPDJs80BAN/si8aBS2xRTlQSY1OI/iE+sC6Yt0wVT7LEyVhH3rt370LbH1RH3r59e8TGxmLz5s0QQuDmzZvYsGEDnnjiiaoImahKXK/iNZwAwFZ1d7ojy/XIUrRo0QLJycmm/4eEhKBFixZFbiEhIWU+p0qlQmhoKCIiIgptj4iIQPv27R947J49e3Dp0iWMGTOm/E+GitWrsSeGFKxF89b640jNLtpynqimu52pxdZThos9z7fm2k2VSbLmEA9TR96+fXusXbsWgwcPRk5ODvLz8/HUU0/hyy+/LPFxOAGXLE1VtyIHDGUxNioFsrQ6ZObmw81OXWWPTfSwoqOj4e7ubvp/RQkPD8ewYcPQqlUrtGvXDsuWLUNMTAzGjx8PwFBmFxcXV6TN+fLly/HYY48hODi4wmIh4N0ngnDgcjKupWRh5u+n8fngFlKHRGRWfo2Kg1anR2NvBwT7OkodTrUmeXOI8tSRnzlzBhMnTsT06dNx9OhRbN26FdHR0aY/ZsXhBFyyNDESjDgBbBBBlsff39/09+LatWvw9fWFv79/oZuvry+uXbtWrvMOHjwYCxYswOzZs9GiRQvs3bsXmzdvNnXJi4+PLzIXNzU1FRs3buRoUyWwVSsxf1ALyGXApsg4/HnihtQhEZkNIYSpTO/5NvyMW9kkG3F6mDryuXPnokOHDnj77bcBAM2aNYOtrS06deqEOXPmwNu76GS4qVOnIjw83PR1Wloakycya9dSjCNO1lX6uHZqJZLSc5HJRXDJAnXr1g3x8fFF1mxKTU1Ft27doNOV73U9YcIETJgwodj7Vq1aVWSbo6MjsrKyyvUYVHah/s54tVs9fLnzEqZtOoXWAS7wdNBIHRaR5E7EpuJcQjrUSjn6N/eVOpxqT7IRp4epI8/KyoJcXjhkhcIwAa6kTmCcgEuWRAhhSpwCXG2r9LGNDSK4lhNZopKqFVJSUmBrW7W/S1Q5Jvaoj6a+jkjNzsPbG06wAygRYFokum9TbzhWUSfemqzcI06ZmZn46KOPsGPHDiQmJpo6GhlduXKlzOcqbx15v3798NJLL2HJkiXo06cP4uPjMWnSJLRp0+ahW84SmZOk9Fxk5+mgkMtQy7lqS/VsVCzVI8szcOBAAIay75EjR0Ktvjs/T6fT4cSJE6U2dSDLYKWQ4/PBzfHEwv3YeyEJa/69hmHtAqQOi0gyWdp8/HHcULo6iGs3VYlyJ05jx47Fnj17MGzYMHh7ez9Su+TBgwcjJSUFs2fPRnx8PIKDgx9YRz5y5Eikp6dj0aJFePPNN+Hk5ITu3bvj448/fugYiMxJdHImAMDXyRoqZdUOCN+7lhORpXB0NEyEFkLA3t4e1tZ3S1xVKhXatm2Ll156SarwqILV87DHlLBGmPXHGXyw+Sza13NDXXc7qcMiksRfJ+KRkZuPAFcbtK3jInU4NUK5E6ctW7bgr7/+QocOHSokgPLWkb/++ut4/fXXK+SxicyNsUzP37VqR5sANocgy7Ry5UoAQEBAAN566y2W5dUAI9oFYMfZROy/lIzwdVHY8Ep7WCkk73VFVOXWH4kFADzXyq/K1n2s6cr9TuPs7AwXF2a1RJXhaophxKmq5zcBgF3BHKcsLZtDkOWZMWMGk6YaQi6X4dPnmsFBo8Tx2FQs2nlJ6pCIqty1lEwcunoLchnwTMtaUodTY5Q7cXr//fcxffp0dg8iqgSmxMmt6j8AGhfBZakeWaoNGzZg0KBBaNu2LVq2bFnoRtWLt6M15jzdFACwaNclRMbcljgioqq18VgcAKBjfXd4ObLDZFUpd+I0b948bNu2DZ6enmjatCn/OBFVoKvJxo56LNUjKo+FCxdi1KhR8PDwQGRkJNq0aQNXV1dcuXIFYWFhUodHleCp5j7o19wHOr1A+M/Hkc3Rcqoh9HqBjUcNZXrPhnK0qSqVe47TgAEDKiEMIjK0IjeMOPlLUqrHESeyXIsXL8ayZcswZMgQfPfdd/i///s/1KlTB9OnT8etW7ekDo8qyZz+wTgUnYLo5Ex8tv083nuysdQhEVW6f6NTEHcnG/YaJXo3Ln7tU6oc5U6cZsyYURlxENV4SRm5yNTqIJdV/eK3wL0jTrxqS5YnJibG1Hbc2toa6enpAIBhw4ahbdu2WLRokZThUSVxtLHCRwObYdSqw1jxTzT6NPFCm0DOw6bqbUPBaNOTzXygsVJIHE3N8tBtaI4ePYo1a9Zg7dq1iIyMrMiYiGokY0c9HydrqJVV/0bIBXDJknl5eSElJQUA4O/vj3///RcAEB0dzYVSq7lujTwwqFUtCAG8veE4srR8D6PqKzM3H1tPJQBgmZ4Uyp04JSYmonv37mjdujUmTpyI1157DaGhoejRoweSkpIqI0aiGsG4hpMUHfWAe0r1+KGDLFD37t3xxx9/AADGjBmDyZMno1evXhg8eDCefvppiaOjyvbuk43h7ajBtZQsfLL1vNThEFWazSfjkaXVoY6bLVrWdpI6nBqn3InT66+/jrS0NJw+fRq3bt3C7du3cerUKaSlpWHixImVESNRjXA5KQMAUMddmsTJRsXmEGS5li1bhmnTpgEAxo8fj1WrViEoKAizZs3CkiVLJI6OKpuDxgofP9MMALDqwFUcvJwicURElcNYpvdMaC2u3SSBcs9x2rp1K/7++28EBQWZtjVu3BhfffUVevfuXaHBEdUkV5IMI0513e0keXw2hyBLJpfLIZffvRY4aNAgDBo0SMKIqKp1buCOIW1q48dDMXh7w3Fsm9TZNHeTqDq4fisL/0XfgkwGPB3iK3U4NVK531H0ej2srKyKbLeysoJer6+QoIhqoisSjzjdnePE5hBkGU6cOFHmfZs1a1aJkZC5mPZEEPZeSELs7WzM3XIWcwY0lTokogqz8ZhhtKljPTf4OFV9Eyl6iMSpe/fueOONN/Djjz/Cx8cHABAXF4fJkyejR48eFR4gUU2Qp9ObmkNIPuKkzYcQgiUAZPZatGgBmUxWavMHmUwGnY4XBGoCO7USnz7bDEO//Q9r/o3B40280bG+m9RhET0yvV6YEic2hZBOuROnRYsWoX///ggICICfnx9kMhliYmLQtGlTrFmzpjJiJKr2rt/KQr5ewNpKAS8HaVYAN5a0CAFk5+lMc56IzFV0dLTUIZAZal/PDcPb+WP1wWt4Z+MJbJ3UCfaaopUyRJbk8NVbuH4rG3ZqJXo39pI6nBqr3J+M/Pz8cOzYMURERODcuXMQQqBx48bo2bNnZcRHVCNcLpjfVMfdFnK5NCM9NioFZDJD4pSRm8/Eicyev7+/1CGQmXrn8UbYfT4JMbey8OHms5g7kKWaZNnurt3kDWsV126SykN/MurVqxd69epVkbEQ1Vh35zdJU6YHGMqZbFVKZOTmG+Y52UsWCtFDuXz5MhYsWICzZ89CJpMhKCgIb7zxBurWrSt1aFTFbAtK9gYv+xc/HrqOx4O90aWBu9RhET2UzNx8/HUyHgDL9KRWpsRp4cKFePnll6HRaLBw4cIH7suW5ETlZ2xFXleixhBGtmpFQeLEznpkWbZt24annnoKLVq0QIcOHSCEwIEDB9CkSRP88ccfvNBXAz1WxxWjOgRg5T9X8c6GE9ge3hkOLNkjC7T1VAKytDoEuNog1N9Z6nBqtDIlTp9//jleeOEFaDQafP755yXuJ5PJmDgRPQSpW5EbGeY55XItJ7I4U6ZMweTJk/HRRx8V2f7OO+8wcaqh/q9PI+w6l4irKVn4eMs5fPA0u+yR5TE2hXimJdduklqZEqd7J+ByMi5RxZN68VsjruVElurs2bP4+eefi2wfPXo0FixYUPUBkVmwVikwd2AzDPnmX6z9Lwb9mvugbR1XqcMiKrO4O9k4ULCg89MtuXaT1OSl71LY7NmzkZWVVWR7dnY2Zs+eXSFBEdUkyRm5uJ2VB5kMqOMm7YiTTcGEU444kaVxd3dHVFRUke1RUVHw8PCo+oDIbLSr64qhj9UGAEzZeAI5eWxNT5bjt6g4AEDbOi6o5WwjcTRU7sRp1qxZyMjIKLI9KysLs2bNqpCgiGqSCzfTAQC1XWwk75Rzd8SJHyzIsrz00kt4+eWX8fHHH2Pfvn3Yv38/PvroI4wbNw4vv/yy1OGRxKaENYKngxpXU7Lw+d8XpA6HqEyEEPg10pA4PR3C0SZzUO6ueiUtjHn8+HG4uLhUSFBENcmFBEPiVN9D+jZ2tizVIwv13nvvwd7eHvPmzcPUqVMBAD4+Ppg5cybn3hIcNFb4YEBTjF19BN/svYInmnqjWS0nqcMieqCz8em4cDMDKqUcjwd7Sx0OoRyJk7OzM2QyGWQyGRo0aFAoedLpdMjIyMD48eMrJUii6uxComEEt4GntGV6wD2Jk5aJE1kWmUyGyZMnY/LkyUhPN1yMsLeX/mIEmY+ejT3Rr7kP/jh+A/+34QT+eL0jrBTlLrwhqjK/FpTp9WjkAUdrdoQ0B2VOnBYsWAAhBEaPHo1Zs2bB0dHRdJ9KpUJAQADatWtXKUESVWcXC0r1GnhK/yGPzSHIUs2aNQsvvvgi6taty4SJSjSjX2Psv5iEcwnp+HrPZbzWvb7UIREVS6cXpvlNA1imZzbKnDiNGDECABAYGIgOHTpAqXzotXOJqIAQAhduGkac6pvDiJPK8HudwTlOZGE2btyI2bNno3Xr1njxxRcxePBguLtzwVMqzM1OjRn9mmDSuigs3HEJjwd7oZ4ZlEkT3e+/Kym4mZYLR2srdG3I9zJzUe4x6szMTOzYsaPI9m3btmHLli0VEhRRTZGUnovU7DzIZdKv4QQYFsAFOOJElufEiRM4ceIEunfvjvnz58PX1xd9+/bFDz/8UGwnWKq5+rfwQbeG7tDq9Pi/DSeg0wupQyIqYlNBU4gnmnlDrZS2cRTdVe7EacqUKdDpil6NFkJgypQpFRIUUU1hHG0KcLWFxkr6N0aW6pEla9KkCT788ENcuXIFu3btQmBgICZNmgQvLy+pQyMzIpPJ8MHTTWGrUuBYzB18f/Cq1CERFZKTp8OWUwkAgAEtWKZnTsqdOF28eBGNGzcusr1Ro0a4dOlShQRFVFMYW5GbQ5kecLc5BNdxIktna2sLa2trqFQq5OXlSR0OmRkfJ2tM6RsEAPhk23lcv8VRSTIff5+9iYzcfPg6WaOVv7PU4dA9yp04OTo64sqVK0W2X7p0Cba2thUSFFFNccGMGkMA95TqsaseWaDo6Gh88MEHaNy4MVq1aoVjx45h5syZSEhIkDo0MkMvtKmNNgEuyNLq8L9NJyEES/bIPPwaeQMAMCDEB3J50SWASDrlTpyeeuopTJo0CZcvXzZtu3TpEt5880089dRTFRocUXV3Jj4NABDk7SBxJAbG5hBcAJcsTbt27VCvXj2sX78eo0aNwrVr17Bz506MHTu2UBdYIiO5XIaPnmkKlVKOfReT8VvUDalDIsKtTC12n08EwDI9c1TuxOnTTz+Fra0tGjVqhMDAQAQGBiIoKAiurq747LPPKiNGomopX6fH+YLFb80mcWKpHlmobt264cSJE4iKisLbb78NX19+4KDS1XG3w8Tu9QAA7/95BneytBJHRDXdXyfjka8XaOLjgPpmUo1Cdz1Uqd6BAwfw119/YcKECXjzzTexY8cO7Ny5E05OTpUQIlH1dDUlE7n5etioFPB3sZE6HABsDkGW68MPP0STJk0q7HyLFy9GYGAgNBoNQkNDsW/fvgfun5ubi2nTpsHf3x9qtRp169bFihUrKiweqjwvd66Leh52SMnU4qMt56QOh2q4Xwu66T3NtZvM0kMtxiSTydC7d2/07t27ouMhqjFO3zCU6TXysjebGmbjiFOWVge9XphNXERVad26dZg0aRIWL16MDh064Ouvv0ZYWBjOnDmD2rVrF3vMoEGDcPPmTSxfvhz16tVDYmIi8vN5AcISqJRyfPh0Uwz6+iB+OnwdA1vWQptAF6nDohooJiULR6/dhkwG9GvuI3U4VIyHSpx27NiBHTt2IDExEXq9vtB9vMJGVDZn482rTA+4O+IEAFl5ukJfE9UU8+fPx5gxYzB27FgAwIIFC7Bt2zYsWbIEc+fOLbL/1q1bsWfPHly5cgUuLoYP3AEBAVUZMj2iNoEueL61H346fB3/23QSmyd2gkpZ7qIcokfyW5RhtKlDXTd4OmgkjoaKU+53hVmzZqF3797YsWMHkpOTcfv27UI3Iiqbs2bWGAIANFZyGAeZWK5HNZFWq8XRo0eLVFT07t0bBw4cKPaY33//Ha1atcInn3wCX19fNGjQAG+99Rays7NLfJzc3FykpaUVupG0poQ1gqutCpcSM7Bs7+XSDyCqQEIIbCpInAawTM9slfty8tKlS7Fq1SoMGzasMuIhqjHMraMeYCjDtVUrkZ6Tj4zcfHhKHRBRFUtOToZOp4OnZ+FXv6enZ4ltza9cuYL9+/dDo9Fg06ZNSE5OxoQJE3Dr1q0SqzDmzp2LWbNmVXj89PCcbFR478nGmLQuCgt3XsKTzXwQ4MZlVqhqnIxLxZWkTGis5OjThH99zVW5EyetVov27dtXRixENUZyRi6S0nMhkxnmOJkTu4LEiSNOZO5OnDhR5n2bNWtWrnPLZIXn9wkhimwz0uv1kMlkWLt2ran1+fz58/Hss8/iq6++grW1dZFjpk6divDwcNPXaWlp8PPzK1eMVPH6t/DBhqOx2H8pGe/+egrfj2lT4s+dqCIZ2+H3DPKEvcZK4mioJOVOnMaOHYsffvgB7733XmXEQ1QjnIpLBQAEutqaGjKYC7YkJ0vRokULyGSyByY1Rjpd2dYmc3Nzg0KhKDK6lJiYWGQUysjb2xu+vr6F1osKCgqCEAKxsbGoX79+kWPUajXUanWZYqKqI5PJMGdAMHov2Iv9lwxrO7FsiiqbXi/w5wlD4tSfazeZtXJ/YsvJycGyZcvw999/o1mzZrCyKpwVz58/v8KCI6qujIlT01rmtzCnrUoBgIvgkvmLjo42/T8yMhJvvfUW3n77bbRr1w4AcPDgQcybNw+ffPJJmc+pUqkQGhqKiIgIPP3006btERER6N+/f7HHdOjQAevXr0dGRgbs7OwAABcuXIBcLketWrUe5qmRhALcbDGxez18tv0C3v/zDLo2dIeTjUrqsKgaO3z1Fm6m5cJeo0TnBm5Sh0MPUO7E6cSJE2jRogUA4NSpU4Xu43A2UdmciC1InHzNMHHiWk5kIfz9/U3/f+6557Bw4UL07dvXtK1Zs2bw8/PDe++9hwEDBpT5vOHh4Rg2bBhatWqFdu3aYdmyZYiJicH48eMBGMrs4uLisHr1agDA0KFD8f7772PUqFGYNWsWkpOT8fbbb2P06NHFlumR+Xu5c138GnUDlxIz8NGWc/jomfKVehKVxx8Fo019mnhBrVRIHA09SLkTp127dlVGHEQ1ysk480+cWKpHluTkyZMIDAwssj0wMBBnzpwp17kGDx6MlJQUzJ49G/Hx8QgODsbmzZtNiVp8fDxiYmJM+9vZ2SEiIgKvv/46WrVqBVdXVwwaNAhz5sx5tCdFkuHaTlRV8nV6bD5pKA3m2k3mz7wmVxDVAInpOYhPzYFMBjQxw8TJjiNOZIGCgoIwZ84cLF++HBqNYf2T3NxczJkzB0FBQeU+34QJEzBhwoRi71u1alWRbY0aNUJERES5H4fMF9d2oqpw4HIKbmVq4WKrQvu6rlKHQ6Uod+LUrVu3B5bk7dy5s1znW7x4MT799FPEx8ejSZMmWLBgATp16lTi/rm5uZg9ezbWrFmDhIQE1KpVC9OmTcPo0aPL9bhEUjHOb6rrbmeWC8zaqo1znJg4keVYunQp+vXrBz8/PzRv3hwAcPz4cchkMvz5558SR0eWakpYI0ScuYlLiRlY8U80xnepK3VIVM0Ym0KEBXvBSsHE3NyV+1ObcX6TUV5eHqKionDq1CmMGDGiXOdat24dJk2ahMWLF6NDhw74+uuvERYWhjNnzqB27drFHjNo0CDcvHkTy5cvR7169ZCYmIj8fH7AI8thnN/UzAxHmwDATm1o+JLB5hBkQdq0aYPo6GisWbMG586dgxACgwcPxtChQ2Fry7V46OE42agwtW8Q3lp/HAt3XMRTzX3g48R5a1QxcvN12HqKZXqWpNyJ0+eff17s9pkzZyIjI6Nc55o/fz7GjBmDsWPHAgAWLFiAbdu2YcmSJZg7d26R/bdu3Yo9e/bgypUrcHEx1BoHBASU7wkQScycO+oBgL3GOMcpT+JIiMrHxsYGL7/8stRhUDUzMMQXPx2KwZFrt/HBX2fx1QstpQ6Jqol9F5KRlpMPTwc1WgdwDp0lqLAxwRdffLHEFdKLo9VqcfToUfTu3bvQ9t69e+PAgQPFHvP777+jVatW+OSTT+Dr64sGDRrgrbfeQnZ2domPk5ubi7S0tEI3IqkIIRAZcwcA0MzME6f0HI7kkmX5/vvv0bFjR/j4+ODatWsADBf7fvvtN4kjI0sml8swu38w5DLgr5Px2HshSeqQqJowdtPr29QbCjk7U1uCCkucDh48aJqQWxbJycnQ6XRFFhT09PQssvCg0ZUrV7B//36cOnUKmzZtwoIFC7Bhwwa8+uqrJT7O3Llz4ejoaLpxZXaS0vVb2UjJ1MJKIUMTH/NMnOzYVY8s0JIlSxAeHo6wsDDcvn3btOCts7MzFixYIG1wZPEa+zhgRPsAAMDM308jN5+lzPRosrU6RJy5CYBlepak3KV6AwcOLPS1EALx8fE4cuQI3nvvvXIHcH+jiQetAK/X6yGTybB27VrTCu3z58/Hs88+i6+++qrY9TKmTp2K8PBw09dpaWlMnkgyx2JuAwCa+DhCY2WeazUYEyeOOJEl+fLLL/HNN99gwIAB+Oijj0zbW7VqhbfeekvCyKi6mNyrAf48EY8ryZn4dl80Xu1WT+qQyILtPJeILK0Ovk7WCPFzkjocKqNyjzjdO3rj6OgIFxcXdO3aFZs3b8aMGTPKfB43NzcoFIoio0uJiYlFRqGMvL294evra0qaAEMLWiEEYmNjiz1GrVbDwcGh0I1IKsbEqWVtZ4kjKZm9xtAcIj2Hc5zIckRHRyMkJKTIdrVajczMTAkiourGQWOFaX0Nre2/3HkRcXdKniZAVBpjN71+zX0e2K2azEuZRpwWLlyIl19+GRqNBrNmzUKtWrUglz9alZ9KpUJoaCgiIiLw9NNPm7ZHRESgf//+xR7ToUMHrF+/HhkZGbCzswMAXLhwAXK5HLVq1XqkeIiqgilx8neSNpAHuNscgiNOZDkCAwMRFRVlWqTWaMuWLWjcuLFEUVF107+FD344FIND0bcw+4/T+HpYK6lDIguUnpOHnecSAQD9mntLHA2VR5myn/DwcFNThcDAQCQnJ1fIg4eHh+Pbb7/FihUrcPbsWUyePBkxMTEYP348AEOZ3fDhw037Dx06FK6urhg1ahTOnDmDvXv34u2338bo0aOLLdMjMifZWh3OxqcDMO8RJ9McJ5bqkQV5++238eqrr2LdunUQQuDQoUP44IMP8L///Q9vv/221OFRNSGTyfB+/2Ao5DJsO30Tu84nSh0SWaC/z95Ebr4eddxt0diblVCWpEwjTj4+Pti4cSP69u1rKovLyckpdt+S1l8qzuDBg5GSkoLZs2cjPj4ewcHB2Lx5s+mKYXx8PGJiYkz729nZISIiAq+//jpatWoFV1dXDBo0CHPmzCnzYxJJ5UTsHej0Ap4Oang7lr2RSlUzjjhlanXQ6QU7/ZBFGDVqFPLz8/F///d/yMrKwtChQ+Hr64svvvgCzz//vNThUTXS0MseozsE4Jt90Zj5+2m0m+RqtnNWyTz9cTweAPBkM5bpWRqZEEKUttOyZcvw+uuvP3ChWWNTB2MnI3OVlpYGR0dHpKamcr4TVamvdl3Cp9vOo29TLyx+IVTqcEqUm69Dw3e3AgCOz+gNR2sriSOi6qQq3oOTk5Oh1+vh4eFRKeevDPzbZFkycvPRY95u3EzLxZu9GuD1HvWlDoksxJ0sLVrN+Rv5eoGIyZ1R39Ne6pBqvPK8/5ZpxOnll1/GkCFDcO3aNTRr1gx///03XF1dKyRYopriv+hbAIA2Zr7InVqpgEohh1anR0ZuPhMnsjhubm5Sh0DVnJ1aiWlPNMbEHyOxePdlPBNaCz5OnDJApdt6KgH5eoFGXvZMmixQmduR29vbIzg4GCtXrkSHDh2gVqsrMy6iaiVfp8fRqwWJU6D5X3Sw1yiRkqkt6KzHDwNknlq2bIkdO3bA2dkZISEhDyx5OXbsWBVGRjVBv2beWHPwGg5dvYW5W87hyyFFuzoS3e/PE4YyPa7dZJnKvY7TiBEjKiMOomrt9I00ZGp1cNAo0dDL/K8w2RUkTmwQQeasf//+pot4AwYMkDYYqnFkMhlmPNUY/b7cjz+O38Cwtv5oE2jeFQUkrZSMXBy4bGiw9mQzdtOzROVOnIio/A4Zy/QCXSyi2YJpEVy2JCczdu/ageVZR5CoojTxccTzbWrjh/9iMOP30/jz9Y4W8R5P0th+5ib0Agj2dYC/q63U4dBDeLTFmIioTP6LTgEAi7kaaeysl84RJyKiB3qrd0M4aJQ4G5+Gnw7HlH4A1VibTxrK9Po25WiTpeKIE1El0+mFacTpMQuY3wQAdmpDQwiW6pE5c3Z2LnMr31u3blVyNFRTudiqEN6rAWb+cQafbTuPJ5v6wNGGTXWosNuZWhy4bLiIGhbMxMlSMXEiqmSnb6QiLScf9molmvhYRpvhuyNOeRJHQlSyBQsWSB0CEQDgxbb++OFQDC7czMDnf1/AzKeaSB0SmZmIMzeh0wsEeTsg0I1lepaq3IlTeHh4sdtlMhk0Gg3q1auH/v37w8XFMkqSiCrbvouGiaBt67pCqbCM6lhj4pTBOU5kxtisiMyFUiHHjH5N8MK3/+H7f69hSJvaFtEIiKrO5lMFZXrBXhJHQo+i3IlTZGQkjh07Bp1Oh4YNG0IIgYsXL0KhUKBRo0ZYvHgx3nzzTezfvx+NGzeujJiJLMo/lwyJU6f6lrO2jKk5BEv1yILodDps2rQJZ8+ehUwmQ1BQEPr37w+lksUVVPk61HPD4028sPV0Amb9cRprxz5W5lJSqt5Ss/JMnwXCOL/JopX78nf//v3Rs2dP3LhxA0ePHsWxY8cQFxeHXr16YciQIYiLi0Pnzp0xefLkyoiXyKJka3U4cvU2AMMfVUthx+YQZGFOnTqFBg0aYMSIEdi0aRN++eUXjBgxAvXr18fJkyelDo9qiGlPBEGtlOPA5RRsO50gdThkJv4+exN5OoEGnnao52EndTj0CMqdOH366ad4//334eBwd66Gg4MDZs6ciU8++QQ2NjaYPn06jh49WqGBElmiw1dvQavTw8dRgzoWVNNsryloDpHLOU5kGcaOHYsmTZogNjYWx44dw7Fjx3D9+nU0a9YML7/8stThUQ3h52KDcZ3rAADe//MscvJ0EkdE5oDd9KqPcidOqampSExMLLI9KSkJaWlpAAAnJydotdpHj47Iwu0vGJrvWN/Noko27NWc40SW5fjx45g7dy6cnZ1N25ydnfHBBx8gKipKusCoxnmlaz14O2oQdycbK/6JljocklhaTp5prjMTJ8v3UKV6o0ePxqZNmxAbG4u4uDhs2rQJY8aMMa3cfujQITRo0KCiYyWyOLvOGS4ydKrvLnEk5cM5TmRpGjZsiJs3bxbZnpiYiHr16kkQEdVU1ioF/u/xhgCAxbsuIyk9V+KISEo7zyZCq9Ojrrst6rNMz+KVO3H6+uuv0aNHDzz//PPw9/dH7dq18fzzz6NHjx5YunQpAKBRo0b49ttvKzxYIkty/VYWLiZmQCGXoXMDy0qcTF31mDiRhfjwww8xceJEbNiwAbGxsYiNjcWGDRswadIkfPzxx0hLSzPdiCpb/+a+aFbLERm5+ZgfcUHqcEhC95bpWVLlCRWv3K2G7Ozs8M033+Dzzz/HlStXIIRA3bp1YWd3N4tu0aJFRcZIZJF2Fow2tfJ3hqO1ZS2GaGoOwVI9shBPPvkkAGDQoEGmDydCCABAv379TF/LZDLodJx3QpVLLpfh3ScaY9DXB7HucAxGtPdHIy/LWMePKk5Gbj52X0gCwEVvq4uH7tFqZ2eHZs2aVWQsRNWKMXHq3shD4kjKz6GgOQQXwCVLsWvXLqlDICqkTaAL+jb1wuaTCfjgr7NYPboNRxxqmF3nEqHN1yPQzRZB3lzXqzrg4hZElSBLm4+DV1IAAD2CLC9xMs5xysnTI0+nh5WFLNxLNVeXLl2kDoGoiCmPB+HvM4nYdzEZu88noZsFXkijh2cs0wsL9mLSXE0wcSKqBHsvJEObr4efizXqulveZFBjqR4AZObmw8lGJWE0RGWTk5ODEydOIDExEXq9vtB9Tz31lERRUU1W29UGozoE4Ou9VzDnrzPoWN+NF6JqiCxtPnadN1SesJte9cHEiagSbD1luMrUp7FlXmWyUsihsZIjJ0+P9BwmTmT+tm7diuHDhyM5ObnIfZzXRFJ6tXs9rD8ai8tJmfjxUAyGtwuQOiSqArvPJyEnz3ABtYkP57dVF7zsQVTBcvN12HHWcJUprKmXxNE8POM8p9RsznMi8/faa6/hueeeQ3x8PPR6faEbkyaSkoPGCpN7GZZo+TziAt9TawhTN71gdtOrTpg4EVWwA5dTkJ6bDw97NUL8nEs/wEw5FHQCTGODCLIAiYmJCA8Ph6enp9ShEBUxpLUf6nvY4XZWHhbtvCh1OFTJcvJ0pgZRYSzTq1aYOBFVsK0nEwAAfZp4QS633KtMDgXznNJ4dZQswLPPPovdu3dLHQZRsZQKOaY9EQQAWHXgKq6lZEocEVWmPReSkKXVwdfJGs1rOUodDlUgznEiqkDafD22nTEkTmHBllumB8C09lRaNtdyIvO3aNEiPPfcc9i3bx+aNm0KK6vCa6dNnDhRosiIDLo29EDnBu7YeyEJn2w7j6+GtpQ6JKok207dvYDKMr3qhYkTUQXacyEJd7Ly4GGvxmN1XKUO55EYS/VYj0+W4IcffsC2bdtgbW2N3bt3F/qwIpPJyp04LV68GJ9++ini4+PRpEkTLFiwAJ06dSp23927d6Nbt25Ftp89exaNGjUq3xOham1qWCPsu5iEv07E46VOd9DCz0nqkKiC5en0+PvsTQBAnyYsHa5uWKpHVIF+i4oDAPRr7gOFBZfpAfeMOHGOE1mAd999F7Nnz0ZqaiquXr2K6Oho0+3KlSvlOte6deswadIkTJs2DZGRkejUqRPCwsIQExPzwOPOnz+P+Ph4061+/fqP8pSoGgrydsAzLWsBAOZuPgshhMQRUUU7FH0LaTn5cLVVoVWAi9ThUAVj4kRUQTJy801XmQa08JU4mkdn7KrHOU5kCbRaLQYPHgy5/NH/rM2fPx9jxozB2LFjERQUhAULFsDPzw9Llix54HEeHh7w8vIy3RQKxSPHQtVPeK8GUCvl+C/6lqmBAFUf204byvR6Bnla/AVUKoqJE1EF2XoqATl5etRxt0Wwr+Wv2eDIUj2yICNGjMC6dese+TxarRZHjx5F7969C23v3bs3Dhw48MBjQ0JC4O3tjR49emDXrl0P3Dc3NxdpaWmFblQz+DhZY1SHQADAR1vOIV+nL+UIshR6vcD20wVlesEs06uOOMeJqIL8fOQ6AODpFr7VYjKog3VBV70cNocg86fT6fDJJ59g27ZtaNasWZHmEPPnzy/TeZKTk6HT6Yq0Nff09ERCQkKxx3h7e2PZsmUIDQ1Fbm4uvv/+e/To0QO7d+9G586diz1m7ty5mDVrVpliournla518dPhGFxMzMDGY7EY3Lq21CFRBTgRl4qEtBzYqhRoX9dN6nCoEjBxIqoA0cmZOBR9C3IZ8GyrWlKHUyG4AC5ZkpMnTyIkJAQAcOrUqUL3PcyFjPuPEUKUeJ6GDRuiYcOGpq/btWuH69ev47PPPisxcZo6dSrCw8NNX6elpcHPz6/ccZJlcrS2wmvd6mHOX2cxP+ICnmruC2sVSzstnbFMr2sjD2is+POsjpg4EVUA42hTlwbu8Ha0ljiainG3HTkTJzJ/pZXGlZWbmxsUCkWR0aXExMRyLa7btm1brFmzpsT71Wo11Gr1Q8dJlm9YO3+sOnAVsbezseKfaLzarZ7UIdEjMiZOfZpY9nIkVDLOcSJ6RHk6PTYcjQUADG5dfa4Ysx051UQqlQqhoaGIiIgotD0iIgLt27cv83kiIyPh7e1d0eFRNaJWKvB2H8NI5ZLdl5GSkStxRPQoLiWm40pSJqwUMnRt6C51OFRJOOJE9Ii2nU5AUnou3OzU6N6o+kwGZTtysgQDBw4s036//PJLmc8ZHh6OYcOGoVWrVmjXrh2WLVuGmJgYjB8/HoChzC4uLg6rV68GACxYsAABAQFo0qQJtFot1qxZg40bN2Ljxo3lf0JUo/Rr5oNv9l3Bqbg0fLnzEmY+1UTqkOghbStoCtG+rpup1J2qHyZORI9o9YFrAIChj9WGSll9BnGNb/w5eXrk5uugVrJem8yPo6NjhZ9z8ODBSElJwezZsxEfH4/g4GBs3rwZ/v7+AID4+PhCazpptVq89dZbiIuLg7W1NZo0aYK//voLffv2rfDYqHqRy2WYGhaEF779D2v/u4ZRHQLg72ordVj0ELazTK9GkIkatvpaWloaHB0dkZqaCgcHy28ZTdI6cyMNfRfug1Iuwz9TusPTQSN1SBVGrxeoO20zhAAOT+sJd3vOx6BHx/fg4vH7UrMNX3EIey8k4clm3lg0tKXU4VA5xadmo93cnZDJgEP/499LS1Oe99/qc3mcSAKrDkQDAB4P9qpWSRNguBJqpza2JGe5HhFRZZnyeCPIZMCfJ+JxKi5V6nConIxrN4XWdmbSVM0xcSJ6SAmpOdgUGQcApsUMqxsugktEVPka+zjgqeY+AIB5289LHA2VF7vp1RxMnIge0op/opGnE2gd4IxQf2epw6kUxnlObElORFS5JvdsAKVchl3nk3D46i2pw6Eyup2pxX/Rhp8XE6fqj4kT0UNIzc7DD/8ZJoeP71JX4mgqj4O1sVQvX+JIiIiqtwA3WwwqWNLik63nUMOmoFusHecSodMLNPKyR21XG6nDoUrGxInoIaz8JxoZuflo4GmHbg09pA6n0rBUj4io6kzsXh9qpRyHr97G7gtJUodDZWDsptebo001guSJ0+LFixEYGAiNRoPQ0FDs27evTMf9888/UCqVaNGiReUGSHSf1Kw8LN9naAoxsUd9yOUyiSOqPCzVIyKqOl6OGoxoHwAA+HTreej1HHUyZ9laHfZeNCS4fZpUn3UcqWSSJk7r1q3DpEmTMG3aNERGRqJTp04ICwsrtD5GcVJTUzF8+HD06NGjiiIlumv5/itIz81HQ0979A32ljqcSmVaBJeJExFRlXilS13YqZU4E5+Gv07GSx0OPcCeC0nIydOjlrM1GntzGYGaQNLEaf78+RgzZgzGjh2LoKAgLFiwAH5+fliyZMkDjxs3bhyGDh2Kdu3aVVGkRAZJ6blYvt8w2jSpZ/UebQIAB2PixHbkRERVwtlWhZc61QEAzI+4gHydXuKIqCT3Lnork1XvzwNkIFnipNVqcfToUfTu3bvQ9t69e+PAgQMlHrdy5UpcvnwZM2bMqOwQiYpY8PcFZGp1aF7LEY8HV/965rsjTmwOQURUVcZ0CoSLrQrRyZnYcDRW6nCoGPk6PXacSwTAbno1iWSJU3JyMnQ6HTw9C9eEenp6IiEhodhjLl68iClTpmDt2rVQKpVlepzc3FykpaUVuhE9jEuJ6fjp8HUAwP/6BtWIq0vGrnpsDkFEVHXs1EpM6Gro2PrFjovIydNJHBHd78i120jNzoOzjVW1XZKEipK8OcT9Hz6FEMV+INXpdBg6dChmzZqFBg0alPn8c+fOhaOjo+nm5+f3yDFTzSOEwKw/zkCnF+gZ5InH6rhKHVKVcLJRAQBuZ2kljoSIqGZ5sa0/fBw1iE/NwZp/r0kdDt3n7zM3AQDdGnlAUc3L9ukuyRInNzc3KBSKIqNLiYmJRUahACA9PR1HjhzBa6+9BqVSCaVSidmzZ+P48eNQKpXYuXNnsY8zdepUpKammm7Xr1+vlOdD1duWUwnYdzEZKqUc7z4RJHU4Vca5IHG6k8URJyKiqqSxUuCNnvUBAIt3X0Y655qaDSEEIs4aEqdeQeymV5NIljipVCqEhoYiIiKi0PaIiAi0b9++yP4ODg44efIkoqKiTLfx48ejYcOGiIqKwmOPPVbs46jVajg4OBS6EZVHRm4+3v/zDADDYrcBbrYSR1R1XAoSp1uZHHEiIqpqz7SshTputriVqcV3B65KHQ4VuJyUgWspWVAp5OjUwF3qcKgKlW2iUCUJDw/HsGHD0KpVK7Rr1w7Lli1DTEwMxo8fD8AwWhQXF4fVq1dDLpcjODi40PEeHh7QaDRFthNVpI+3nEN8ag78XKxNNec1hZOtoTlEdp4OOXk6aKwUEkdERFRzKBVyvNGzPt74KQrL9l7B8PYBpvX1SDoRZwxNIdrVdYWdWtKP0lTFJJ3jNHjwYCxYsACzZ89GixYtsHfvXmzevBn+/v4AgPj4+FLXdCKqTP9dScH3BbXlHw1sVuMSB3u1EsqC2m3OcyIiqnpPNvNBfQ87pOXkY0XBchgkrb8LyvR6NmaZXk0jeXOICRMm4OrVq8jNzcXRo0fRuXNn032rVq3C7t27Szx25syZiIqKqvwgqUZKzcpD+M/HAQBD2tRGh3puEkdU9WQy2d0GEZmsryciqmoKuQyTehqaYi3fF41UzjmVVHJGLo7F3AYA9AzykDgaqmqSJ05E5kgIgXc2nkDcnWz4u9rgf30bSR2SZFwKyvU44kREJI2wYC808rJHem4+vt1/RepwarSd5xIhBBDs6wBvR2upw6EqxsSJqBjf/3sNW08nwEohw5dDQmBfg2vK2ZKciEha8ntGnVbsj8ZtNuyRjLENeU9206uRmDgR3ef0jVTM+fMsAGBKWBCa1XKSNiCJuZhK9fiHmohIKn2aeKKxtwMytTos28dRJynk5Omw72IyACZONRUTJ6J73MrUYsLaY9Dq9OgZ5IHRHQKkDklyzqZSPdbVExFJRSaTYXIvw6jTdweuIiUjV+KIap4Dl5ORnaeDt6MGTXy4vE1NxMSJqEBOng4vrT6CaylZ8HWyxqfPNodMxtXAnbmWExGRWegZ5IGmvo7I0uqwbC9Hnara32cNbch7Bnny80ENxcSJCIBeL/Dm+uM4eu027DVKrBrVGs62KqnDMgvGxOkO5zgREUlKJpMh3DjqdPAqktI56lRV9HqBHWxDXuMxcSIC8PG2c/jrRDysFDJ8PSwU9T3tpQ7JbBgTyFss1SMiklzXhu5o4eeEnDw9lu65LHU4NcapG6m4mZYLW5UCbeu4SB0OSYSJE9V4C/6+gK/3GEoePn6mGdrXrXnrNT2Is41hjhNHnIiIpHfvqNOaf6/hZlqOxBHVDMZuel0aukOtVEgcDUmFiRPVWEIIzN9+Hgv+vggAmBrWCANb1pI4KvNjGnHiHCciIrPQqb4bWvk7IzdfjyW7OepUFSLumd9ENRcTJ6qRhBD4bPt5LNx5CQAwrW8QxnWpK3FU5unuHCeW6hERmYN7O+z9cCgGiRx1qlSxt7NwNj4NchnQraGH1OGQhJg4UY2Tp9Pjf5tO4atdhqt07z3ZGC91riNxVObLuI5TRm4+tPl6iaMhIiIAaF/XFaH+ztDm6/E1O+xVqh0Fo02tAlzYOKqGY+JENUpqVh5GrjyEHw/FQCYDZvdvgjEdA6UOy6zZa5SQF3Rd5TwnIiLzIJPJMLFHfQDA2v+uIZnrOlWav43d9II42lTTMXGiGuNKUgaeXvIP/rmUAhuVAt8Ob4Xh7QKkDsvsyeWyu2s5MXEiIjIbneu7oXktR+Tk6fHNPo46VYa0nDz8eyUFAOc3ERMnqiE2Rcai35f7cSUpE96OGmwY3x49+AZYZk4FnfVuZ3KeExGRubh31On7g9fYxKcS7L2QhDydQB13W9Rxt5M6HJIYEyeq1jJz8xH+cxQmrzuOTK0OjwW64LdXO6Cxj4PUoVkUl4Ka7tsccSIiMivdG3mgiY8DsrQ6rNgfLXU41Y6xDXkvXmwlMHGiamzvhSQ8/sVe/HIsDnIZMLlnA/zwUlt4OGikDs3iuNqqAQAprKEnIjIrMpkMr3c3jDqtOnAVqeyAWmHydHrsPFfQhrwxEydi4kTVUEpGLiavi8LwFYdw/VY2fJ2s8dPL7fBGz/pQGLscULm42xsSp6R0Jk5EROamd2NPNPKyR0ZuPlYe4KhTRTly9TbScvLhbGOFlrWdpQ6HzAATJ6o2cvN1+GbvFXT7bDc2RRpGmUZ3CMT2yZ3RJtBF6vAsmilx4ogT1RCLFy9GYGAgNBoNQkNDsW/fvjId988//0CpVKJFixaVGyDRPeRyGV7rXg8AsGJ/NNJzOOpUEYzd9Lo38uSFVwLAxImqAb1e4PfjN9Bz/h58sPks0nLyEeTtgE0TOmB6v8awVSulDtHiGROnxDQmTlT9rVu3DpMmTcK0adMQGRmJTp06ISwsDDExMQ88LjU1FcOHD0ePHj2qKFKiu8KCvVHPww5pOflYffCa1OFYPCGEKXHq1ZhtyMmAiRNZrHydHpsiY9F7wV5M/DES129lw8NejU+eaYY/X++I5n5OUodYbbjbccSJao758+djzJgxGDt2LIKCgrBgwQL4+flhyZIlDzxu3LhxGDp0KNq1a1dFkRLdpZDL8Fo3w6jTN/uuICM3X+KILNulxAxcS8mCSiFHp/ruUodDZoKJE1mc9Jw8rPwnGt3n7cHkdcdxKTED9holwns1wO63u2JQaz8OqVcwznGimkKr1eLo0aPo3bt3oe29e/fGgQMHSjxu5cqVuHz5MmbMmFGmx8nNzUVaWlqhG9GjerKZNwLdbHEnKw9r/uWo06OIKBhtal/PlZUrZMJXAlmMMzfS8NPhGGw8GotMrQ6AoU32mI6BGNbOHw4aK4kjrL6MiVNyRi70egE5E1OqppKTk6HT6eDpWbiDlqenJxISEoo95uLFi5gyZQr27dsHpbJsf1bnzp2LWbNmPXK8RPdSKuSY0LUu3t5wAt/svYIR7QJgrVJIHZZFMrYh56K3dC8mTmTWElJz8GtUHH6NjMO5hHTT9noedhjRzh/PhNaCjYov48rmamdYxylPJ5CanQfngnWdiKormazwxQEhRJFtAKDT6TB06FDMmjULDRo0KPP5p06divDwcNPXaWlp8PPze/iAiQoMCPHFwp0Xcf1WNtYdjsHIDoFSh2RxktJzEXn9DgCgRxDnN9Fd/MRJZic+NRt/n03E1lPxOHA5BUIYtqsUcnRv5IEX2/qjQz3XYj/EUOVQKxVwsrHCnaw8JGXkMnGiasvNzQ0KhaLI6FJiYmKRUSgASE9Px5EjRxAZGYnXXnsNAKDX6yGEgFKpxPbt29G9e/cix6nVaqjV6sp5ElSjWSnkGNe5Lt799RSW7b2CoY/5Q6XkzIzy2HUuEUIATX0d4e1oLXU4ZEaYOJHkdHqBU3Gp2HEuETvO3sTpG4Vr/Vv5O+Pplr54sqkPHG1YjicVdzu1IXFKz0UDT3upwyGqFCqVCqGhoYiIiMDTTz9t2h4REYH+/fsX2d/BwQEnT54stG3x4sXYuXMnNmzYgMBAXu2nqvdsaC18seMibqTm4LeoODzXiqOZ5WGc38TRJrofEyeqcnq9wLmEdBy8koKDl1NwKDoFaTl3u//IZEDL2s7oEeSBJ5v6oLarjYTRkpG7vRoXEzPYIIKqvfDwcAwbNgytWrVCu3btsGzZMsTExGD8+PEADGV2cXFxWL16NeRyOYKDgwsd7+HhAY1GU2Q7UVXRWCkwtmMg5m45hyV7LmNgy1psmlRGOXk67LuYBIDzm6goJk5UqYQQSEjLwfHrqTgRewcnYg3/3psoAYCdWomO9dzQI8gD3Rp5wM2OJSzmhp31qKYYPHgwUlJSMHv2bMTHxyM4OBibN2+Gv78/ACA+Pr7UNZ2IpPZCW398tesSriRlYvvpBIQ19ZY6JItw4HIycvL08HbUoImPg9ThkJlh4kQVJjdfhytJmbhwMx0Xb2bgXEI6TsTeQWIxH7RtVAq0DnBBu7quaFfHFU18HKBUsAbbnHEtJ6pJJkyYgAkTJhR736pVqx547MyZMzFz5syKD4qoHOzUSoxsH4CFOy/hq92X8HiwF+cGl0HEmUQAhtEmfr/ofkycqFx0esMI0rWUTFy/lYVrKVm4nJSBizczcDUlE3pR9Bi5DGjgaY/mtZzQzM8RzWs5oaGXPayYKFkUjjgREVmWkR0C8c2+aJyKS8O+i8no3IALuT6IXi+w8xznN1HJmDiRiRCGVtMJaTmIT83BzdSCfwu+vn4rC7G3s6HV6Us8h71GiQae9mjgaYf6HvZoWssRTXwc2DK8GmDiRERkWVxsVXi+jR9W/nMVX+26xMSpFKdupOJmWi5sVQq0q+sqdThkhvhpthoTQiAnT49bWVrcytAiJTMXtzK1uJWpRUqmcZsWtwq2J6TlICev5KTIyEohg5+zDfxcbODvagN/V1s08LRDA097eNirObRdTTFxIiKyPC91qoM1/17Df9G3cPTaLYT6u0gdktkyLnrbuYE71EouHExFMXEyM3q9QHaeznDT6pCl1SFLm1/o62ytDum5+UjLzkN6Tj7ScvKQnnPv/+/el19c7VwpnG2s4OVoDS8HdcG/Gng7alDLxRr+rrbwctCwO08NZEycEtNzJI6EiIjKysfJGk+H+OLnI7FYvOsylo9k4lSSv88a5jf1YDc9KgETp3I6fSMVsbezkafTQ5tfcNPd92/BLU9n2JZbzDZtvmG7MREyJkdlGfEpLyuFDC62KrjYquFqqyr4v8rwf7uCf23V8HRQw9NBA40Vr7JQUZ72GgDA7aw85OTp+DohIrIQ47vUxfqjsdhxLhFn49MQ5M1ucfeLu5ONM/FpkMuAbg1Z0kjFY+JUTt/ui8amyLgqeSyNlRw2KiWsrRSwVilgo1LA2srwr53GCg4aJew1VnCwLvhXo4SDxgr2GiUcrA3/2musYKtSsHyOHpmTjRWsrRTIztMhPjUHgW62UodERERlUMfdDn2DvfHXyXgs2X0ZC4eESB2S2dlRsOhtqL8zXLkkCpWAiVM5BbrZomVtJ1gp5FAp5VArDf9aKeRQFWwz3e7bVugYhRxqKzmsrZSFkiLj/zVKBeQshyMzIpPJ4OtsjUuJGYi7nc3EiYjIgrzStS7+OhmPP0/cwJu9G8Dfle/h92KZHpUFE6dymtijPib2qC91GESS8HEyJE437mRLHQoREZVDsK8jujRwx54LSfh67xV8+HRTqUMyG+k5eTh4ORmAYf0mopJwIR0iKjNfJ8M8pzgmTkREFufVbvUAABuOxOJmGhv9GO27mIw8nUCgmy3qunMkjkrGxImIyszXyRoAEyciIkvUJtAFrfydodXpsXx/tNThmI2/C+Y39Qzy4JxweiAmTkRUZj4FiRNL9YiILJNx1GnNv9dwJ0srcTTSy9fpsesc5zdR2TBxIqIyY+JERGTZujZ0R5C3A7K0Oqw+eE3qcCR3LOYObmflwdHaCq38naUOh8yc5InT4sWLERgYCI1Gg9DQUOzbt6/EfX/55Rf06tUL7u7ucHBwQLt27bBt27YqjJaoZjOW6t1IzYH+IRZXJiIiaclkMozvUgcAsOrAVWRrdRJHJC1jG/LujTygVEj+sZjMnKSvkHXr1mHSpEmYNm0aIiMj0alTJ4SFhSEmJqbY/ffu3YtevXph8+bNOHr0KLp164Z+/fohMjKyiiP///buPCzKcv8f+HtYZthHYXBYZXFFcQM33MBSXMrE01HzWGppJxJL43vsHKyj/jxXcTq5UCdTW9SsI1FHS00r0VxQ9JiIS4iIgIIsIggMYLLN/fsDnRpFWQZ4GHi/rmuuq3nmWT5z5/V8+Mx9P/dN1DE5KS0gkwGV1VoUlFdIHQ4RETXBE/2c4W5viVvllfjqdJbU4Ugq9m7h9LhPF4kjIWMgaeG0du1azJ8/HwsWLICPjw+ioqLg7u6ODRs21Ll/VFQUXn/9dQwZMgQ9evTA22+/jR49emDPnj2tHDlRx2RuagK1be3MejnFnJGJiMgYmZma4M9jugEAPjqajqoarcQRSSP9ZhnSb5bD3FSGMT0dpQ6HjIBkhVNlZSUSEhIQHBystz04OBjx8fENOodWq0VpaSns7e0fuk9FRQU0Go3ei4iazrUzn3MiIjJ20/3doLKRI7v4V3x3PkfqcCRx8O6it8O9HWBnYS5xNGQMJCucCgoKUFNTA7VafwYTtVqNvLy8Bp1jzZo1KC8vx4wZMx66T2RkJJRKpe7l7u5uUNxEHd29CSKyi1g4EREZKwtzUzw/0gsAsOFwWod8blU3TK83h+lRw0j+FNz98+ULIRo0h350dDRWrlyJmJgYdOny8H/wERERKCkp0b2ysjr2WF4iQ7ncXQT3etFtiSMhIiJDPDvcAzYKM1y+UYZDKflSh9OqisorcfrqLQCchpwaTrLCSaVSwdTU9IHepfz8/Ad6oe4XExOD+fPn46uvvsK4ceMeua9CoYCdnZ3ei4iazsuhdlX1jEIWTkRExkxpaY7Zw7oCqO116kgOX86HVgC9nWzhbm8ldThkJCQrnORyOfz9/REbG6u3PTY2FiNGjHjocdHR0Zg3bx62b9+OJ554oqXDJKL7eDvaAKh9qJaIiIzbC6O8IDc1welrRfj5bg9MR3DgYm0P2/g+7G2ihpN0qF54eDg++eQTbN68GcnJyXjttdeQmZmJ0NBQALXD7ObMmaPbPzo6GnPmzMGaNWswfPhw5OXlIS8vDyUlJVJ9BaIOx0tV2+OUXfwr7lR17PU/iIiMndrOAk/7uwIANnaQXqfKai2OXL4JgMP0qHEkLZxmzpyJqKgorFq1CgMHDsTRo0exb98+eHh4AAByc3P11nTatGkTqqurERYWBmdnZ91r8eLFUn0Fog5HZSOHrYUZhACuFpZLHQ4RERnoz2O6QSYDDl7Kx6W89j/78P8yClFWUQ1HWwX6uyqlDoeMiJnUASxcuBALFy6s87OtW7fqvT98+HDLB0REjySTyeDtaINzWcVIv1mO3k58bpCIyJh5qawx2dcZey/kYtORdKybOVDqkFpU7MXfZtMzMal/QjKieySfVY+IjE+3u8P1MgrY40RE1B6EBtYuiLv7XA6ybrXfyX+0WoEfk2onJpvQ10niaMjYsHAiokbzdqwtnNI4QQQRUbvQz02JUd1VqNEKfBKXLnU4Lebc9WLc0FTARmGGEd0dpA6HjAwLJyJqtN9m1mOPExFRe/FyUG2vU8zpLBSWVUgcTcv44W5v09jeXaAwM5U4GjI2LJyIqNHu9Til3yyDEB1vtXkiovZoRDcH9HdT4k6VFp/FX5U6nGYnhMCPv9QWThM5TI+agIUTETWap4M1ZDJAc6caheWVUodDRETNQCaT4eW7zzp9duIayiqqJY6oeaXcKMXVwtuQm5kgqJej1OGQEWLhRESNZmFuCvfOtSutp+SVShwNERE1l+C+TvBWWaPk1yp8eSqz/gOMyI+/1M6mN6aHCtYKySeWJiPEwomImsTXtXYa8qQcLkBNRNRemJrI8Ocx3gCAj+PSUVHdfhY6/4Gz6ZGBWDgRUZP0daldNPCX7Pa/WCIRUUcyzc8VXWwVuKGpwK7EHKnDaRaZhbeRnKuBqYkM43zUUodDRoqFExE1ia/rvcKJPU5ERO2JwswUC0Z7AQA2Hk2DVmv8kwDdW7tpmJc9OlvLJY6GjBULJyJqkr4utUP10gvKUXqnSuJoiIioOc0a2hV2FmZIv1mO/RdvSB2OwThMj5oDCyciahKVjQLOSgsAQHIuJ4ig9uXDDz+El5cXLCws4O/vj7i4uIfue+zYMYwcORIODg6wtLRE7969sW7dulaMlqj52VqYY06AJwBgw5E0o156Il9zBwnXigAAwX05TI+ajoUTETXZveF6Fzhcj9qRmJgYLFmyBG+88QYSExMxevRoTJo0CZmZdc8wZm1tjUWLFuHo0aNITk7Gm2++iTfffBMfffRRK0dO1LzmjfSEwswE57KKcSK9UOpwmuxej9lA905wVlpKHA0ZMxZORNRkvncniEhi4UTtyNq1azF//nwsWLAAPj4+iIqKgru7OzZs2FDn/oMGDcKsWbPQt29feHp64tlnn8WECRMe2UtFZAxUNgrMHOIOANhwOE3iaJruRw7To2bCwomImqyfW+1zTolZxdIGQtRMKisrkZCQgODgYL3twcHBiI+Pb9A5EhMTER8fj8DAwJYIkahVvTjaG6YmMsSlFhjlZEAlt6twIq22t2wCh+mRgVg4EVGT+XvYQyYDMgrKcUNzR+pwiAxWUFCAmpoaqNX6f2Cp1Wrk5eU98lg3NzcoFAoMHjwYYWFhWLBgwUP3raiogEaj0XsRtUXu9lZ4sr8zgNpnnYxNbPINVGsFeqpt4O1oI3U4ZORYOBFRkyktzXWz6937RY+oPZDJZHrvhRAPbLtfXFwcTp8+jY0bNyIqKgrR0dEP3TcyMhJKpVL3cnd3b5a4iVpCaGA3AMD3F3JxtaBc4mga57vztetQPdHPReJIqD1g4UREBgnwdgAAnDTiB4eJ7lGpVDA1NX2gdyk/P/+BXqj7eXl5oV+/fnjxxRfx2muvYeXKlQ/dNyIiAiUlJbpXVlZWc4RP1CJ8nO0wtpcjtAL4KC5d6nAa7FZ5JY6lFgAAnhzgLHE01B6wcCIigwR0qy2cjHnGJaJ75HI5/P39ERsbq7c9NjYWI0aMaPB5hBCoqKh46OcKhQJ2dnZ6L6K27OWg7gCA/56+jnwjGZr9wy95qNYK9HG2QzcO06NmwMKJiAwyxNMepiYyXCu8jZziX6UOh8hg4eHh+OSTT7B582YkJyfjtddeQ2ZmJkJDQwHU9hbNmTNHt//69euxZ88epKamIjU1FVu2bMHq1avx7LPPSvUViJrdEM/O8PfojMoaLTYfvyp1OA2y51ztML0pAzhMj5qHmdQBEJFxs7Uwh6+rEueyinHsSgFmDOazGmTcZs6cicLCQqxatQq5ubnw9fXFvn374OHhAQDIzc3VW9NJq9UiIiICGRkZMDMzQ7du3fDPf/4TL730klRfgajZyWQyhAZ2w4vbTuM/J69h4dhusLMwlzqsh8rX3MHJjNqREPcmtyAylEwY81LQTaDRaKBUKlFSUsKhEUTNZF3sZbx3MBXj+6jx8ZzBUodDbRjvwXVju5Ax0GoFJkQdRWp+GV6f2AsL7w7fa4u2HM/A/9tzEYO6dsI3C0dKHQ61YY25/3KoHhEZbKJv7aKCRy/fRHlFtcTREBFRSzAxkelm2Nt87CruVNVIHNHDfXc+FwAwpT+H6VHzYeFERAbr7WQLDwcrVFRrcTjlptThEBFRC3lqoAtclBYoKKvAjjPXpQ6nTteLbiPhWhFkMuAJDtOjZsTCiYgMJpPJdL1OPyQ9epFQMk75mjvYdTYbETvP4/MTV6UOh4gkYm5qghfHeAMANh1JR3WNVuKIHnSvt2mYlz3UdhYSR0PtCSeHIKJmMbGvEzYdScdPyTdwu7IaVnLeXoxZ8e1KxKcVIj6tAPFphUi/+duil0O97PFcgKd0wRGRpGYOccf7B1ORees2vv8lr03NWieEwI6E2p6wpwa4ShwNtTf8y4aImsUAt07wdLDC1cLb2HMuBzOHdJU6JGqEymotEjOLEJdagLgrBTh/vRi/nzpIJgP6ONshwNsBo3qopAuUiCRnJTfD3BGeiDqQig8Pp+HJ/s6QyWRShwUAOJtVjNT8MliYm3DRW2p2LJyIqFmYmMjwzNCu+Of3l7D9VBYLpzZOCIH0gnLEXb6JY1cKcCKtEOWV+g9691TbYGR3FQK8HTDMywFKq7Y79TARta65AZ74+Gg6knM1+DHphm64ttS+vtvbNMnXuU1Pl07GiYUTETWbP/q7Yc3+FJzLKkZSTgn6uiilDol+505VDY5fKcCB5HwcvXwT2fctWOxgLceoHiqM7uGIUd1VcFLy2QAiqltnazmeH+mFDw5dQdSBywjuo4aJibS9TneqanSL3k73d5M0FmqfWDgRUbNR2SgQ3NcJe8/nYlv8Nbzzx/5Sh9Th3dDcwcHkfBxMvoHjaQW4U/Xbg9xyUxMM8eqsK5T6ONtJ/ocPERmPBaO98Fn8VVzKK8UPSXmY3E/aoXE/JuWh9E413DpbYri3g6SxUPvEwomImtXzIzyx93wudiZex+JxPeDSyVLqkDoUIQR+ydbgQPIN/HQpHxeyS/Q+d1Fa4HEfNR7z6YLhXg6wlJtKFCkRGbtOVnI8P8oL7x9MRdSBy5jY10nSH1++Op0FAHjaz40/AlGLYOFERM1qsKc9hnvb42T6LWw6kob/N9VX6pDavRqtwKmMW/j+l1z8mJSHG5oK3WcyWe3EHeN8uuBxHzV6O9m2mYe4icj4zR/lhS3HM3D5Rhn2XsiVbIa960W3EZ9WCKB22DhRS2DhRETN7tXHeuBk+v8Q/XMWFo7tznU0WkB1jRYn029h3y+52J+Uh4KySt1nVnJTjO6hwuM+aozt1QWOtgoJIyWi9kxpaY4Fo7yx7sBlvHcwFZP7OcNUgt6eHQnZEAIY0c0B7vZWrX596hhYOBFRswvo5oAhnp3x89Ui/OuHFKyZMUDqkNqFymot4tMK8P2FPOy/mIei21W6zzpZmWO8jxqT+jlhRDcVLMw5BI+IWsfzozyx+XgGruSXYceZ65gx2L1Vr1+jFbphetMHs7eJWg4LJyJqdjKZDG880Qch649jx5nrmBPggQHunaQOyyjVaAXi0wqw62wO9iflQXOnWveZvbUcE/o6YXI/Jwz3doC5qYmEkRJRR2VnYY5FY7vjrX3JWLv/Mqb0d2nV5ycPJt9AdvGv6Gxljkm+XLuJWg4LJyJqEQPdO+EPg1yxMzEbK3YnYcfLIyQZvmGMhBC4kF2CbxNzsOd8Dm6W/vbMkspGgYm+akzu54yhnvYwY7FERG3AcwEe2Bp/FdnFv2Lz8QyEje3eatfeduIaAGDmkK7sbacWxcKJiFrM6xN7Y//FGzibVYwtxzOwYLS31CG1adcKy/FtYg52nc1GekG5bnsnK3M80c8ZUwa4YIinPQtQImpzLMxNsXRCLyyJOYsNh9PwzBB3ONi0/POVV/LLcOxKAUxkwOxhXHidWhYLJyJqMU5KC7zxhA8idl7Auz+m4LHeXeDtaCN1WG1KYVkF9pzLwbdnc3A2q1i3XWFmgvF91AgZ6IoxPR0hN2PPEhG1bU8NcMHHcelIytHg3z9dwcqn+rb4NT89lg4AeNxHzUkhqMWxcCKiFvXMEHfsPZ+LY1cK8OqXidjx8ggozDr2UIrqGi0Op9zE1wlZOJicj2qtAACYyICR3VUIGeiKCb5OsFHwFk1ExsPERIZlk30w+5P/4YuT1zB3hCe8VNYtdr380jvYkZANAPjzGI5ooJbHrExELUomk+Hd6f0x+b04/JKtwdt7kzvs2k5X8svwdUIWdp7J1ntuqZ+rEtMGueLJAc7oYsup24nIeI3srkJQL0ccTrmJ5bt+wbYXhrbY2nFbj19FZY0Wfl07YbBH5xa5BtHvsXAiohbnrLTE2hkD8fzWn/HZiWvwdVVieitPVyuV0jtV+O58Lr4+nYUzmcW67Q7WcoQMcsX0wW7o7WQnXYBERM1sxZS+iE87irjUAnx3vmUWxS25XYXPT9ZOChEa2I0Le1OrkHzQ/IcffggvLy9YWFjA398fcXFxj9z/yJEj8Pf3h4WFBby9vbFx48ZWipSIDDG2dxe8+ngPAMCyby7gVMYtiSNqOVqtwIm0QoR/dRZD3jqAiJ0XcCazGKYmMozz6YKNz/rjRMTj+PuTfVg0EVG746WyRlhQ7ax6q767iJJfq+o5ovE+jktH6Z1q9FLbYpyPutnPT1QXSQunmJgYLFmyBG+88QYSExMxevRoTJo0CZmZmXXun5GRgcmTJ2P06NFITEzEsmXL8Oqrr2LHjh2tHDkRNcWSx3tgkq8TqmoEFnz2My7laaQOqVllF/+K9w+mImj1Ycz6+CR2nsnGnSotujlaI2JSb5z422P4ZO4QTPR14mQPRNSuhQZ5w1tljZulFVizP6VZz11YVoHNxzMAAOHBPWHCmUaplciEEEKqiw8bNgx+fn7YsGGDbpuPjw9CQkIQGRn5wP5//etfsXv3biQnJ+u2hYaG4ty5czhx4kSDrqnRaKBUKlFSUgI7u0b+0isEUHW7cccQkZ5fK2swf9tpJGYWQWWjwGcvDIV3Cz483NLuVNXg4KV8fHPmOuLTC3HvjmqjMMOkfk6YNtANA92V7W8YibkV0ITvZNA9uB1ju1B7FH+lAH/65H+QyYBvFo7EwGZaCH3l7iRsjb+K/m5K7Aob2f7ur9SqGnP/lewZp8rKSiQkJOBvf/ub3vbg4GDEx8fXecyJEycQHByst23ChAn49NNPUVVVBXNz8weOqaioQEXFbw9hazQG/MJddRt4u/nH6RJ1JJYAtgOABYBqAB9JGo7BLAA8cfeF+5cs+eXuqz1algPIjbfgJaKWN6K7CtMGueKbxGyEf3UWe18ZDUu5YbOqXsrT6J5ten1CbxZN1KokGytSUFCAmpoaqNX641LVajXy8vLqPCYvL6/O/aurq1FQUFDnMZGRkVAqlbqXu3vHeCCdiIiISGrLn+wDtZ0C6TfL8Y+9Fw06lxACy3cloUYrMLGvE0b1UDVTlEQNI/msevf/UiCEeOSvB3XtX9f2eyIiIhAeHq57r9Foml48mVvV/spKRM2iqLwSL/3nDC5cL4bc1AQrpvTBH/zcpA5LT3WNFnFXCrDzzHUcTrmpW3NJbmaC8T5qTPNzxXAvB5h2tDH25lxokojq19lajrUzBmL2J//D9v9lYqinPUIGuTbpXNtPZeJUxi0ozEzw5pM+zRwpUf0kK5xUKhVMTU0f6F3Kz89/oFfpHicnpzr3NzMzg4ODQ53HKBQKKBT3j59pIpmMQ1OImlFnuTU++3MQlsQk4sekGwj/9gpOXr+D5VP6Srr4q1YrcCazCLvP5WDfhVwUlFXe/USBAW5K/HGwO57q7wKl1YPDg4mISN/I7iqEje2G9YfS8Ncd59HN0Qb93JSNOseV/DL847vaHqu/BPeCW2f+eEOtT7K/TORyOfz9/REbG4tp06bptsfGxmLq1Kl1HhMQEIA9e/bobdu/fz8GDx5c5/NNRNT2WcpNsWG2P9YfuoK1By7jq9PXEZ9WiLem9UNgT8dWi0MIgaQcDfacy8F353ORXfyr7jMHazmmDXLF9MHu6OVk22oxERG1F+Hje+FijgaHUm7i+a0/46uXhsPb0aZBx2ruVCHsP2dwp0qLUd1VmD/Kq4WjJaqbpLPqxcTE4LnnnsPGjRsREBCAjz76CB9//DGSkpLg4eGBiIgIZGdnY9u2bQBqpyP39fXFSy+9hBdffBEnTpxAaGgooqOj8fTTTzfompy5iKjtOpFWiKX/PYfrRbVFy+O9uyA8uCf6ujTul8mGqqrR4uert3DoUj4OJucjvaBc95mNwgzBfdV4aoALRnZXwdyU04c3B96D68Z2oY5Ac6cKMzedRHKuBs5KC/xnwbB6i6eK6hrM2/wzTqQXwtFWge9eGQW1nUUrRUwdgVHMqgcAM2fORGFhIVatWoXc3Fz4+vpi37598PDwAADk5ubqrenk5eWFffv24bXXXsP69evh4uKC999/v8FFExG1bQHdHPDDkjFYu/8ytp24ioOX8nHwUj4CezriT8O6YmyvLgatfySEwLXC2ziVcQuHL+cj7nIBSiuqdZ8rzEzwuE8XPDXABUG9usDC3LDZn4iI6Dd2Fub4fP5QzNx0Amk3yxGy/jj+/Se/h44uKCyrQOgXCfj5ahGs5abY+vwQFk0kKUl7nKTAX/WIjMOV/DK8fzAV353Pwd35GGCrMMOYXo4Y7u0AHydbdHWwgqONos5JY8ora5BX8isu3yhDSl4pLuVpkHCtGAVlFXr72lvLEdTTEWN7d0FQL0fYWnDYb0viPbhubBfqSG6W1hZECdeKAABPDXDBn8d4o6+LHWQyGW5XVmPX2Rysi72M/NIK2CrMsGmOP0Z04yx61Pwac/9l4UREbdq1wnJsP5WJnWeycbO04oHPLc1N0dnKHKamMpjKZKiqESgoq0BFtbbO88lNTdDfTYkR3RwwtncX9Hfr1PFmxJMQ78F1Y7tQR1NRXYO39yZj28lruoXDHazlsLUww/WiX3UzmHqprPHxnMHo3qVhz0MRNRYLp0dgciIyTlqtQGJWMY5fKcDPV28ho6AcOcW/6nqj6mKjMEO3Ljbo2cUGPdW2GNS1E3xdlRyCJyHeg+vGdqGO6pfsEnzw0xUcSsnX+8HLtZMlFoz2wp+GdYXCjPdsajlG84wTEVFDmZjI4O/RGf4enXXbKqu1uF50G2UV1ajWCmi1AqYmMqhsFHCwkcNKzlscEVFb5uuqxMbn/FFeUY2MgnKUVVTDtZMl3DpbPnJdTyIp8K8KIjJacjOTBk9nS0REbZe1wgy+ri0zgypRc+H8ukRERPf58MMP4eXlBQsLC/j7+yMuLu6h++7cuRPjx4+Ho6Mj7OzsEBAQgB9//LEVoyUiotbAwomIiOh3YmJisGTJErzxxhtITEzE6NGjMWnSJL3lMX7v6NGjGD9+PPbt24eEhASMHTsWU6ZMQWJiYitHTkRELYmTQxARUasxhnvwsGHD4Ofnhw0bNui2+fj4ICQkBJGRkQ06R9++fTFz5kwsX768QfsbQ7sQEbVHjbn/sseJiIjorsrKSiQkJCA4OFhve3BwMOLj4xt0Dq1Wi9LSUtjb2z90n4qKCmg0Gr0XERG1bSyciIiI7iooKEBNTQ3UarXedrVajby8vAadY82aNSgvL8eMGTMeuk9kZCSUSqXu5e7ublDcRETU8lg4ERER3ef+aZCFEA2aGjk6OhorV65ETEwMunTp8tD9IiIiUFJSontlZWUZHDMREbUsTkdORER0l0qlgqmp6QO9S/n5+Q/0Qt0vJiYG8+fPx9dff41x48Y9cl+FQgGFQmFwvERE1HrY40RERHSXXC6Hv78/YmNj9bbHxsZixIgRDz0uOjoa8+bNw/bt2/HEE0+0dJhERCQB9jgRERH9Tnh4OJ577jkMHjwYAQEB+Oijj5CZmYnQ0FAAtcPssrOzsW3bNgC1RdOcOXPw3nvvYfjw4breKktLSyiVXNCTiKi9YOFERET0OzNnzkRhYSFWrVqF3Nxc+Pr6Yt++ffDw8AAA5Obm6q3ptGnTJlRXVyMsLAxhYWG67XPnzsXWrVtbO3wiImohXMeJiIhaDe/BdWO7EBFJg+s4ERERERERNSMWTkRERERERPVg4URERERERFSPDjc5xL1HujQajcSREBF1PPfuvR3s8dp6MTcREUmjMXmpwxVOpaWlAAB3d3eJIyEi6rhKS0s5VffvMDcREUmrIXmpw82qp9VqkZOTA1tbW8hkskYfr9Fo4O7ujqysLM581ARsP8OxDQ3D9jOMoe0nhEBpaSlcXFxgYsLR4vcwN0mL7WcYtp9h2H6Gac281OF6nExMTODm5mbweezs7PiP2wBsP8OxDQ3D9jOMIe3HnqYHMTe1DWw/w7D9DMP2M0xr5CX+3EdERERERFQPFk5ERERERET1YOHUSAqFAitWrIBCoZA6FKPE9jMc29AwbD/DsP3aJv5/MQzbzzBsP8Ow/QzTmu3X4SaHICIiIiIiaiz2OBEREREREdWDhRMREREREVE9WDgRERERERHVg4UTERERERFRPVg4GeDq1auYP38+vLy8YGlpiW7dumHFihWorKyUOjSj8dZbb2HEiBGwsrJCp06dpA6nzfvwww/h5eUFCwsL+Pv7Iy4uTuqQjMbRo0cxZcoUuLi4QCaT4dtvv5U6JKMRGRmJIUOGwNbWFl26dEFISAhSUlKkDovqwLxkOOalxmNuahrmJcNIkZtYOBng0qVL0Gq12LRpE5KSkrBu3Tps3LgRy5Ytkzo0o1FZWYnp06fj5ZdfljqUNi8mJgZLlizBG2+8gcTERIwePRqTJk1CZmam1KEZhfLycgwYMAAffPCB1KEYnSNHjiAsLAwnT55EbGwsqqurERwcjPLycqlDo/swLxmOealxmJuajnnJMFLkJk5H3szeffddbNiwAenp6VKHYlS2bt2KJUuWoLi4WOpQ2qxhw4bBz88PGzZs0G3z8fFBSEgIIiMjJYzM+MhkMnzzzTcICQmROhSjdPPmTXTp0gVHjhzBmDFjpA6H6sG81DTMSw3D3NQ8mJcM1xq5iT1OzaykpAT29vZSh0HtTGVlJRISEhAcHKy3PTg4GPHx8RJFRR1VSUkJAPBeZySYl6ilMDdRW9IauYmFUzNKS0vDv//9b4SGhkodCrUzBQUFqKmpgVqt1tuuVquRl5cnUVTUEQkhEB4ejlGjRsHX11fqcKgezEvUkpibqK1ordzEwqkOK1euhEwme+Tr9OnTesfk5ORg4sSJmD59OhYsWCBR5G1DU9qPGkYmk+m9F0I8sI2oJS1atAjnz59HdHS01KF0KMxLhmFealnMTSS11spNZi16diO1aNEiPPPMM4/cx9PTU/ffOTk5GDt2LAICAvDRRx+1cHRtX2Pbj+qnUqlgamr6wC94+fn5D/zSR9RSXnnlFezevRtHjx6Fm5ub1OF0KMxLhmFeahnMTdQWtGZuYuFUB5VKBZVK1aB9s7OzMXbsWPj7+2PLli0wMWEnXmPajxpGLpfD398fsbGxmDZtmm57bGwspk6dKmFk1BEIIfDKK6/gm2++weHDh+Hl5SV1SB0O85JhmJdaBnMTSUmK3MTCyQA5OTkICgpC165dsXr1aty8eVP3mZOTk4SRGY/MzEzcunULmZmZqKmpwdmzZwEA3bt3h42NjbTBtTHh4eF47rnnMHjwYN2vyJmZmXx2oYHKyspw5coV3fuMjAycPXsW9vb26Nq1q4SRtX1hYWHYvn07du3aBVtbW92vy0qlEpaWlhJHR7/HvGQ45qXGYW5qOuYlw0iSmwQ12ZYtWwSAOl/UMHPnzq2z/Q4dOiR1aG3S+vXrhYeHh5DL5cLPz08cOXJE6pCMxqFDh+r8tzZ37lypQ2vzHnaf27Jli9Sh0X2YlwzHvNR4zE1Nw7xkGClyE9dxIiIiIiIiqgcHPhMREREREdWDhRMREREREVE9WDgRERERERHVg4UTERERERFRPVg4ERERERER1YOFExERERERUT1YOBEREREREdWDhRO1e3l5eRg/fjysra3RqVMnqcNpksOHD0Mmk6G4uFjqUIiIqBkwNxEZHzOpA6COY968eSguLsa3337bqtddt24dcnNzcfbsWSiVyla9NhERtW3MTUTUUCycqN1LS0uDv78/evTo0eRzVFVVwdzcvBmjqltlZSXkcnmLX4eIiKTF3ERkfDhUj9qMI0eOYOjQoVAoFHB2dsbf/vY3VFdX6z4vLS3F7NmzYW1tDWdnZ6xbtw5BQUFYsmTJQ8/p6emJHTt2YNu2bZDJZJg3bx4AIDMzE1OnToWNjQ3s7OwwY8YM3LhxQ3fcypUrMXDgQGzevBne3t5QKBTYs2cPOnXqBK1WCwA4e/YsZDIZli5dqjvupZdewqxZswAAhYWFmDVrFtzc3GBlZYV+/fohOjpaL76goCAsWrQI4eHhUKlUGD9+PABg37596NmzJywtLTF27FhcvXq13vaTyWTYtGkTnnzySVhZWcHHxwcnTpzAlStXEBQUBGtrawQEBCAtLU3vuA0bNqBbt26Qy+Xo1asXPv/88wfO+8knn2DatGmwsrJCjx49sHv3br19Ll68iMmTJ8PGxgZqtRrPPfccCgoKAADbtm2Dg4MDKioq9I55+umnMWfOHL32/vzzz+Hp6QmlUolnnnkGpaWluv2FEPjXv/4Fb29vWFpaYsCAAfjvf/+r+7yoqAizZ8+Go6MjLC0t0aNHD2zZsgVAbdJftGgRnJ2dYWFhAU9PT0RGRtbbpkREzE3MTcxNpCOIWsncuXPF1KlT6/zs+vXrwsrKSixcuFAkJyeLb775RqhUKrFixQrdPgsWLBAeHh7iwIED4sKFC2LatGnC1tZWLF68+KHXzM/PFxMnThQzZswQubm5ori4WGi1WjFo0CAxatQocfr0aXHy5Enh5+cnAgMDdcetWLFCWFtbiwkTJogzZ86Ic+fOieLiYmFiYiJOnz4thBAiKipKqFQqMWTIEN1xPXv2FBs2bNB9p3fffVckJiaKtLQ08f777wtTU1Nx8uRJ3f6BgYHCxsZGLF26VFy6dEkkJyeLzMxMoVAoxOLFi8WlS5fEF198IdRqtQAgioqKHvpdAQhXV1cRExMjUlJSREhIiPD09BSPPfaY+OGHH8TFixfF8OHDxcSJE3XH7Ny5U5ibm4v169eLlJQUsWbNGmFqaip++uknvfO6ubmJ7du3i9TUVPHqq68KGxsbUVhYKIQQIicnR6hUKhERESGSk5PFmTNnxPjx48XYsWOFEELcvn1bKJVK8dVXX+nOefPmTSGXy3XXWbFihbCxsRF/+MMfxIULF8TRo0eFk5OTWLZsme6YZcuWid69e4sffvhBpKWliS1btgiFQiEOHz4shBAiLCxMDBw4UPz8888iIyNDxMbGit27dwshhHj33XeFu7u7OHr0qLh69aqIi4sT27dvf2hbElHHwdzE3HQPcxPVh4UTtZpHJadly5aJXr16Ca1Wq9u2fv16YWNjI2pqaoRGoxHm5ubi66+/1n1eXFwsrKysHpmchBBi6tSpYu7cubr3+/fvF6ampiIzM1O3LSkpSQAQp06dEkLU3izNzc1Ffn6+3rn8/PzE6tWrhRBChISEiLfeekvI5XKh0WhEbm6uACCSk5MfGsvkyZPF//3f/+neBwYGioEDB+rtExERIXx8fPTa4q9//WuDktObb76pe3/ixAkBQHz66ae6bdHR0cLCwkL3fsSIEeLFF1/UO8/06dPF5MmTH3resrIyIZPJxPfffy+EEOLvf/+7CA4O1jtHVlaWACBSUlKEEEK8/PLLYtKkSbrPo6KihLe3t+47rlixQlhZWQmNRqPbZ+nSpWLYsGG6a1pYWIj4+Hi968yfP1/MmjVLCCHElClTxPPPP19n27zyyiviscce02tTIiIhmJuEYG66h7mJ6sOhetQmJCcnIyAgADKZTLdt5MiRKCsrw/Xr15Geno6qqioMHTpU97lSqUSvXr10799++23Y2NjoXpmZmQ+9lru7O9zd3XXb+vTpg06dOiE5OVm3zcPDA46OjnrHBgUF4fDhwxBCIC4uDlOnToWvry+OHTuGQ4cOQa1Wo3fv3gCAmpoavPXWW+jfvz8cHBxgY2OD/fv3PxDX4MGDH4hv+PDhem0REBBQbxsCQP/+/XX/rVarAQD9+vXT23bnzh1oNBrdtUaOHKl3jpEjR+q1w/3ntba2hq2tLfLz8wEACQkJOHTokF7b32uDe0MvXnzxRezfvx/Z2dkAgC1btmDevHl639HT0xO2tra6987OzrprXLx4EXfu3MH48eP1rrNt2zbdNV5++WV8+eWXGDhwIF5//XXEx8frzjVv3jycPXsWvXr1wquvvor9+/c3qD2JqGNjbtKPj7mJuamj4+QQ1CYIIfRuVPe2AbXjmH//33XtAwChoaGYMWOG7r2Li0uDr1XXdmtr6wf2CQoKwqeffopz587BxMQEffr0QWBgII4cOYKioiIEBgbq9l2zZg3WrVuHqKgo9OvXD9bW1liyZAkqKyv1znn/dX7/nRrr9w8J3/sudW27Nxb+99t+f/37t93/8LFMJtOdQ6vVYsqUKXjnnXceiMfZ2RkAMGjQIAwYMADbtm3DhAkTcOHCBezZs6dR1wCAvXv3wtXVVW8/hUIBAJg0aRKuXbuGvXv34sCBA3j88ccRFhaG1atXw8/PDxkZGfj+++9x4MABzJgxA+PGjdMbh05EdD/mprq/U2MxNzE3tRcsnKhN6NOnD3bs2KF3Y4yPj4etrS1cXV3RqVMnmJub49SpU7pf4zQaDVJTU3UJwd7eHvb29g26VmZmJrKysnTnunjxIkpKSuDj4/PIY8eMGYPS0lJERUUhMDAQMpkMgYGBiIyMRFFRERYvXqzb996vfs8++yyA2htsampqvdfo06fPA9Pinjx5st7v1RQ+Pj44duyY7kFYoLbd64vx9/z8/LBjxw54enrCzOzht5QFCxZg3bp1yM7Oxrhx4/R+Va1Pnz59oFAokJmZqfcHwP0cHR0xb948zJs3D6NHj8bSpUuxevVqAICdnR1mzpyJmTNn4o9//CMmTpyIW7duNejfDBF1TMxN+vExN+ljbup4OFSPWlVJSQnOnj2r98rMzMTChQuRlZWFV155BZcuXcKuXbuwYsUKhIeHw8TEBLa2tpg7dy6WLl2KQ4cOISkpCS+88AJMTEzq/IXuUcaNG4f+/ftj9uzZOHPmDE6dOoU5c+YgMDDwgaEJ91MqlRg4cCC++OILBAUFAahNWGfOnMHly5d12wCge/fuiI2NRXx8PJKTk/HSSy8hLy+v3vhCQ0ORlpaG8PBwpKSkYPv27di6dWujvmNDLV26FFu3bsXGjRuRmpqKtWvXYufOnfjLX/7S4HOEhYXh1q1bmDVrFk6dOoX09HTs378fL7zwAmpqanT7zZ49G9nZ2fj444/xwgsvNCpOW1tb/OUvf8Frr72Gzz77DGlpaUhMTMT69evx2WefAQCWL1+OXbt24cqVK0hKSsJ3332nS7Lr1q3Dl19+iUuXLuHy5cv4+uuv4eTkZLSLThJR82JuYm5ibqKGYOFErerw4cMYNGiQ3mv58uVwdXXFvn37cOrUKQwYMAChoaGYP38+3nzzTd2xa9euRUBAAJ588kmMGzcOI0eOhI+PDywsLBoVg0wmw7fffovOnTtjzJgxGDduHLy9vRETE9Og48eOHYuamhpdIurcuTP69OkDR0dHvV/D/v73v8PPzw8TJkxAUFAQnJycEBISUu/5u3btih07dmDPnj0YMGAANm7ciLfffrtR37GhQkJC8N577+Hdd99F3759sWnTJmzZskUvydbHxcUFx48fR01NDSZMmABfX18sXrwYSqUSJia/3WLs7Ozw9NNPw8bGpkHtcL9//OMfWL58OSIjI+Hj44MJEyZgz5498PLyAgDI5XJERESgf//+GDNmDExNTfHll18CAGxsbPDOO+9g8ODBGDJkCK5evYp9+/bpxUdEHRdzU0i952duqhtzU8ciE4YMWiWSUHl5OVxdXbFmzRrMnz9f6nCoAcaPHw8fHx+8//77UodCRNQimJuMD3MTNRSfcSKjkZiYiEuXLmHo0KEoKSnBqlWrAABTp06VODKqz61bt7B//3789NNP+OCDD6QOh4io2TA3GS/mJmosFk5kVFavXo2UlBTI5XL4+/sjLi4OKpVK6rCoHn5+figqKsI777yjN00vEVF7wNxknJibqLE4VI+IiIiIiKgefPqMiIiIiIioHiyciIiIiIiI6sHCiYiIiIiIqB4snIiIiIiIiOrBwomIiIiIiKgeLJyIiIiIiIjqwcKJiIiIiIioHiyciIiIiIiI6sHCiYiIiIiIqB7/Hzd4eyxwH9+QAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 1000x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Axel Vogt counter-example\n",
    "# this smile is not free of butterfly arbitrage\n",
    "a, b, k_0, rho, sig = -0.0410, 0.1331, 0.3586, 0.3060, 0.4153\n",
    "lm_grid_test=np.linspace(-2,2,200)\n",
    "\n",
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 5))\n",
    "fig.suptitle('Arbitrage in SVI - Axel Vogt counter-example')\n",
    "\n",
    "# plot of g function\n",
    "ax1.plot(lm_grid_test, g_SVI(lm_grid_test, a, b , rho, k_0, sig), label=\"g_SVI\")\n",
    "ax1.plot(lm_grid_test, 0 *lm_grid_test)\n",
    "ax1.set_xlabel('Log-forward moneyness')\n",
    "ax1.set_ylabel('g function')\n",
    "ax1.legend()\n",
    "\n",
    "# implied volatility \n",
    "ax2.plot(lm_grid_test, np.sqrt(SVI(lm_grid_test, a, b , rho, k_0, sig)/tau), label=\"IV SVI\")\n",
    "ax2.set_xlabel('Log-forward moneyness')\n",
    "ax2.set_ylabel('Implied volatity')\n",
    "ax2.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "056a250a",
   "metadata": {},
   "source": [
    "## Usual Black-Scholes functions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "f8739593",
   "metadata": {},
   "outputs": [],
   "source": [
    "import scipy.stats as sps\n",
    "\n",
    "def Call_BS_core(tau, K, DF, F, sigma):\n",
    "    \"\"\"\n",
    "    Prix du Call Black-Scholes en fonction de\n",
    "    tau   : time to maturity\n",
    "    K     : strike\n",
    "    DF    : discount factor. DF = e^{-r*tau} si taux d'intérêt déterministe r.\n",
    "    F     : prix forward du sous-jacent\n",
    "    sigma : volatilité\n",
    "    \"\"\"\n",
    "    sigma_sqrt_tau = sigma * np.sqrt(tau)\n",
    "    d_plus = np.log(F/K)/sigma_sqrt_tau + sigma_sqrt_tau/2.\n",
    "    d_minus = d_plus - sigma_sqrt_tau\n",
    "    prix_call = DF * (F * sps.norm.cdf(d_plus) - K * sps.norm.cdf(d_minus))\n",
    "    return prix_call\n",
    "\n",
    "def Put_BS_core(tau, K, DF, F, sigma):\n",
    "    \"\"\"\n",
    "    Prix du Put Black-Scholes en fonction de\n",
    "    tau   : time to maturity\n",
    "    K     : strike\n",
    "    DF    : discount factor. DF = e^{-r*tau} si taux d'intérêt déterministe r.\n",
    "    F     : prix forward du sous-jacent\n",
    "    sigma : volatilité\n",
    "    \"\"\"\n",
    "    prix_put=Call_BS_core(tau, K, DF, F, sigma) - DF * (F - K)\n",
    "    return prix_put\n",
    "\n",
    "def Vega_core(tau, K, DF, F, sigma):\n",
    "    \"\"\"\n",
    "    Vega d'un call Black-Scholes en fonction de\n",
    "    tau   : time to maturity\n",
    "    K     : strike\n",
    "    DF    : discount factor. DF = e^{-r*tau} si taux d'intérêt déterministe r.\n",
    "    F     : prix forward du sous-jacent\n",
    "    sigma : volatilité\n",
    "    \"\"\"\n",
    "    sigma_sqrt_tau = sigma * np.sqrt(tau)\n",
    "    d_plus = np.log(F/K) / sigma_sqrt_tau + sigma_sqrt_tau / 2.\n",
    "    vega = DF * F * np.sqrt(tau) * np.exp(-d_plus**2 / 2) / np.sqrt(2*np.pi)\n",
    "    return vega\n",
    "\n",
    "def volImplCallCore_Newton(tau, K, DF, F, target_price, initial_point='automatic', prix_tol = 1.e-3, max_iter=50):\n",
    "    \"\"\"\n",
    "    Volatilité implicite d'un Call de prix = target_price, lorsque les autres paramètres sont:\n",
    "    tau   : time to maturity\n",
    "    K     : strike\n",
    "    DF    : discount factor. DF = e^{-r*tau} si taux d'intérêt déterministe r.\n",
    "    F     : prix forward du sous-jacent\n",
    "    Méthode: Newton.\n",
    "    \"\"\"\n",
    "    if initial_point == 'automatic':\n",
    "        vol = np.sqrt( 2/tau * np.abs(np.log(F/K)) )\n",
    "    else:\n",
    "        vol = initial_point\n",
    "    current_price = Call_BS_core(tau, K, DF, F, vol)\n",
    "    critere_arret = np.abs(current_price - target_price)\n",
    "    iterations = 0\n",
    "    while ( (critere_arret > prix_tol) & (iterations < max_iter) ):\n",
    "        iterations = iterations + 1\n",
    "        vol = vol - (current_price - target_price) / Vega_core(tau, K, DF, F, vol)\n",
    "        current_price = Call_BS_core(tau, K, DF, F, vol)\n",
    "        critere_arret = np.abs(current_price - target_price)\n",
    "    return vol, iterations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "9ce2f017",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Call price: 3.2962105015149765\n",
      "vol_impli=0.300000, iterations=3\n"
     ]
    }
   ],
   "source": [
    "###############\n",
    "## Sanity check\n",
    "###############\n",
    "T = 0.5; K = 115; t = 0; sigma = 0.3; r = 0.02; q = 0.03; S= 100\n",
    "\n",
    "tau = T - t\n",
    "DF = np.exp(-r*tau)\n",
    "F = S * np.exp((r-q)*tau)\n",
    "\n",
    "call_price = Call_BS_core(tau, K, DF, F, sigma)\n",
    "vol_impli, iterations=volImplCallCore_Newton(tau, K, DF, F, call_price, initial_point='automatic', prix_tol = 1.e-3, max_iter=50)\n",
    "\n",
    "print(\"Call price:\",call_price)\n",
    "print(\"vol_impli=%f, iterations=%d\"%(vol_impli, iterations))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a39d54bd-1ce5-455e-9f83-834565d9ac78",
   "metadata": {},
   "source": [
    "## Find an arbitrage in the Vogt parameters\n",
    "We are looking for $K_{\\rm left}$ and $K_{\\rm right}$ such that \n",
    "$$Call\\left(T,\\frac{K_{\\rm left}+K_{\\rm right}}2\\right)> \\frac 12\\left(Call(T,K_{\\rm left})+Call(T,K_{\\rm right})\\right).$$\n",
    "This is a butterfly arbitrage!!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "fff62fda-6dcc-4849-9258-54968bb1689c",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Butterfly arbitrage =  8.916236823707869e-06 > 0 !!\n"
     ]
    }
   ],
   "source": [
    "F, DF =1, 1\n",
    "lm_grid_g_negative=lm_grid_test[g_SVI(lm_grid_test, a, b , rho, k_0, sig)<0]\n",
    "\n",
    "lm_left, lm_right= lm_grid_g_negative[0], lm_grid_g_negative[-1]\n",
    "K_left=F*np.exp(lm_left)\n",
    "K_right=F*np.exp(lm_right)\n",
    "K_mid=(K_left+K_right)/2\n",
    "lm_mid=np.log(K_mid/F)\n",
    "\n",
    "IV_lm_left=np.sqrt(SVI(lm_left, a, b , rho, k_0, sig)/tau)\n",
    "IV_lm_right=np.sqrt(SVI(lm_right, a, b , rho, k_0, sig)/tau)\n",
    "IV_lm_mid=np.sqrt(SVI(lm_mid, a, b , rho, k_0, sig)/tau)\n",
    "\n",
    "Arbitrage=Call_BS_core(tau, K_mid, DF, F, IV_lm_mid)-0.5*(Call_BS_core(tau, K_left, DF, F, IV_lm_left)+Call_BS_core(tau, K_right, DF, F, IV_lm_right))\n",
    "print(\"Butterfly arbitrage = \", Arbitrage, \"> 0 !!\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0bf179e4",
   "metadata": {},
   "source": [
    "# An example of SVI calibration with synthetic data\n",
    "We consider that call-put market prices are given by a SVI model."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "642f0344",
   "metadata": {},
   "source": [
    "## Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "12e3c6a4",
   "metadata": {},
   "outputs": [],
   "source": [
    "DF, F = 1, 1\n",
    "lm_grid = np.linspace(lm_min, lm_max, 20)\n",
    "call_prices = []\n",
    "put_prices = []\n",
    "IV_data = []\n",
    "for lm in lm_grid: \n",
    "    sigma= np.sqrt( SVI(lm, a_true, b_true, rho_true, k_0_true, sig_true) / tau )\n",
    "    IV_data=np.append(IV_data, sigma)\n",
    "    call_prices=np.append(call_prices, Call_BS_core(tau=tau, K=F*np.exp(lm), DF=DF, F=F, sigma=sigma))\n",
    "    put_prices=np.append(put_prices, Put_BS_core(tau=tau, K=F*np.exp(lm), DF=DF, F=F, sigma=sigma))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "62b4d772",
   "metadata": {},
   "source": [
    "## Plotting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "1fa8822e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 5))\n",
    "fig.suptitle('SVI Implied volatilities and prices')\n",
    "\n",
    "ax1.plot(lm_grid, IV_data, label=\"IV\")\n",
    "ax1.set_xlabel('Log-forward moneyness')\n",
    "ax1.set_ylabel('IV')\n",
    "ax1.legend()\n",
    "\n",
    "ax2.plot(F*np.exp(lm_grid), call_prices, label=\"Call prices\")\n",
    "ax2.plot(F*np.exp(lm_grid), put_prices, label=\"Put prices\")\n",
    "ax2.set_xlabel('Strkikes')\n",
    "ax2.set_ylabel('Prices')\n",
    "ax2.legend()\n",
    "\n",
    "plt.show()    "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9512cf39",
   "metadata": {},
   "source": [
    "## Fit an SVI parameterisation\n",
    "\n",
    "The calibration problem we want to solve is a least-square problem:\n",
    "\n",
    "$$\n",
    "\\min_{\\Theta}\n",
    "\\sum_{i} \\left( w^{\\mathrm{mkt}}(k_i) - w_\\mathrm{SVI} \\left(k_i, \\Theta \\right) \\right)^2\n",
    "$$\n",
    "\n",
    "where $w^{\\mathrm{mkt}}(k_i) = \\tau \\left( I^{\\mathrm{mkt}}(k_i) \\right)^2$ are the market quotes for total implied variance, and $\\Theta = (a,b,\\rho,k_0,\\sigma)$ is the vector of SVI parameters."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "6cf36858",
   "metadata": {},
   "outputs": [],
   "source": [
    "def function_to_minimize_least_squares(x, datalogfm, datavariancetotal): # la fonction à minimiser comme fonction de x de dimension 5\n",
    "    tmp=0\n",
    "    for j in range(len(datalogfm)):\n",
    "        tmp=tmp+(datavariancetotal[j]-SVI(datalogfm[j], a=x[0], b=x[1] , rho=x[2], k_0=x[3], sig=x[4]))**2\n",
    "    return tmp"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "da79c8f3",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Initial [0.06727914 0.         0.         0.         0.06727914]\n",
      "Final [ 0.02000149  0.19999895 -0.29999777  0.05000406  0.59999469]\n",
      "True (0.02, 0.2, -0.3, 0.05, 0.6)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x30d082120>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1800x1000 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import scipy.optimize as optimization\n",
    "\n",
    "# initial guess\n",
    "a_init = np.min(IV_data**2*tau) /2\n",
    "b_init = 0\n",
    "rho_init = 0\n",
    "k_0_init = 0 \n",
    "sig_init = np.min(IV_data**2*tau) /2\n",
    "SVIparameter_init    = np.array([a_init, b_init, rho_init, k_0_init, sig_init]) \n",
    "\n",
    "Total_Variance_data = IV_data**2*tau\n",
    "\n",
    "result=optimization.minimize(function_to_minimize_least_squares, args=(lm_grid, Total_Variance_data), \n",
    "                             x0=SVIparameter_init, method='L-BFGS-B', tol=1E-10,\n",
    "                             bounds=[(1E-5, np.max(Total_Variance_data)),\n",
    "                                     (1E-3,1), \n",
    "                                     (-1 + 1e-3, 1 - 1e-3), \n",
    "                                     (2*np.min(lm_grid),2*np.max(lm_grid)), \n",
    "                                     (0.001, 1)])  \n",
    "\n",
    "a, b , rho, k_0, sig = result['x']\n",
    "print(\"Initial\", SVIparameter_init)\n",
    "print(\"Final\", result['x'])\n",
    "print(\"True\", (a_true, b_true , rho_true, k_0_true, sig_true))\n",
    "\n",
    "plt.figure(figsize=(18,10))\n",
    "plt.title(\"Calibrated IV slice\")\n",
    "plt.xlabel(\"forward log-moneyness log(K/F)\")\n",
    "plt.ylabel(\"implied vol\")\n",
    "plt.plot(np.linspace(lm_min,lm_max,100),np.sqrt(SVI(np.linspace(lm_min,lm_max,100), a, b , rho, k_0, sig)/tau), lw=1, color=\"red\")\n",
    "plt.scatter(lm_grid, IV_data, s=200, marker=\"1\",color=\"blue\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "61673adc",
   "metadata": {},
   "source": [
    "# An example of SVI calibration on real data (OESB,  2021 Feb. 19th)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "13be03ec",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Type</th>\n",
       "      <th>Strike</th>\n",
       "      <th>Bid</th>\n",
       "      <th>Ask</th>\n",
       "      <th>Date</th>\n",
       "      <th>Time</th>\n",
       "      <th>Mid</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>Call</td>\n",
       "      <td>97.5</td>\n",
       "      <td>0.05</td>\n",
       "      <td>0.15</td>\n",
       "      <td>02/19/2021</td>\n",
       "      <td>18:57:03</td>\n",
       "      <td>0.100</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>Call</td>\n",
       "      <td>95.0</td>\n",
       "      <td>0.10</td>\n",
       "      <td>0.20</td>\n",
       "      <td>02/19/2021</td>\n",
       "      <td>18:57:03</td>\n",
       "      <td>0.150</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>Call</td>\n",
       "      <td>94.0</td>\n",
       "      <td>0.15</td>\n",
       "      <td>0.25</td>\n",
       "      <td>02/19/2021</td>\n",
       "      <td>18:57:03</td>\n",
       "      <td>0.200</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>Call</td>\n",
       "      <td>93.0</td>\n",
       "      <td>0.20</td>\n",
       "      <td>0.30</td>\n",
       "      <td>02/19/2021</td>\n",
       "      <td>18:57:03</td>\n",
       "      <td>0.250</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>Call</td>\n",
       "      <td>92.5</td>\n",
       "      <td>0.25</td>\n",
       "      <td>0.35</td>\n",
       "      <td>02/19/2021</td>\n",
       "      <td>18:57:03</td>\n",
       "      <td>0.300</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>104</th>\n",
       "      <td>Put</td>\n",
       "      <td>63.0</td>\n",
       "      <td>0.05</td>\n",
       "      <td>0.20</td>\n",
       "      <td>02/19/2021</td>\n",
       "      <td>18:57:03</td>\n",
       "      <td>0.125</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>105</th>\n",
       "      <td>Put</td>\n",
       "      <td>62.5</td>\n",
       "      <td>0.05</td>\n",
       "      <td>0.20</td>\n",
       "      <td>02/19/2021</td>\n",
       "      <td>18:57:03</td>\n",
       "      <td>0.125</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>106</th>\n",
       "      <td>Put</td>\n",
       "      <td>62.0</td>\n",
       "      <td>0.05</td>\n",
       "      <td>0.15</td>\n",
       "      <td>02/19/2021</td>\n",
       "      <td>18:57:03</td>\n",
       "      <td>0.100</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>107</th>\n",
       "      <td>Put</td>\n",
       "      <td>61.0</td>\n",
       "      <td>0.05</td>\n",
       "      <td>0.15</td>\n",
       "      <td>02/19/2021</td>\n",
       "      <td>18:57:03</td>\n",
       "      <td>0.100</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>108</th>\n",
       "      <td>Put</td>\n",
       "      <td>60.0</td>\n",
       "      <td>0.05</td>\n",
       "      <td>0.15</td>\n",
       "      <td>02/19/2021</td>\n",
       "      <td>18:57:03</td>\n",
       "      <td>0.100</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>109 rows × 7 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "     Type  Strike   Bid   Ask        Date      Time    Mid\n",
       "0    Call    97.5  0.05  0.15  02/19/2021  18:57:03  0.100\n",
       "1    Call    95.0  0.10  0.20  02/19/2021  18:57:03  0.150\n",
       "2    Call    94.0  0.15  0.25  02/19/2021  18:57:03  0.200\n",
       "3    Call    93.0  0.20  0.30  02/19/2021  18:57:03  0.250\n",
       "4    Call    92.5  0.25  0.35  02/19/2021  18:57:03  0.300\n",
       "..    ...     ...   ...   ...         ...       ...    ...\n",
       "104   Put    63.0  0.05  0.20  02/19/2021  18:57:03  0.125\n",
       "105   Put    62.5  0.05  0.20  02/19/2021  18:57:03  0.125\n",
       "106   Put    62.0  0.05  0.15  02/19/2021  18:57:03  0.100\n",
       "107   Put    61.0  0.05  0.15  02/19/2021  18:57:03  0.100\n",
       "108   Put    60.0  0.05  0.15  02/19/2021  18:57:03  0.100\n",
       "\n",
       "[109 rows x 7 columns]"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "tau=90/252 # time-to-maturity (maturity Jun 2021)\n",
    "df = pd.read_csv('2021Fev19_OESB.csv', sep=\";\") \n",
    "df[\"Mid\"]=(df.Bid+df.Ask)/2 # we add a columun corresponding to the mid price\n",
    "df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "6f56dd92",
   "metadata": {},
   "outputs": [],
   "source": [
    "DF=0.999996; F=82.840448 # a été calculé par regression faite au TD4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "7945dadb",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Initial [0.00326683 0.         0.         0.         0.00326683]\n",
      "Final [ 3.53313136e-04  5.46559835e-02 -6.80824737e-01 -7.84085817e-02\n",
      "  1.57480242e-01]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x31c499e50>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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WVlaelyRJkiRJkiQpdoRWhn/99dfs37+f2rVr5xmvXbs227dvP+y1J510EhUrVqR58+YMGzaMa665Jvez7du3F/ieEyZMIDExMfdVt27dI3giSZIkSZIkSVJJFeqe4XDgxubRaPRnNztPS0tj/fr1PPHEE0ycOPGA7U8Kes9Ro0aRmZmZ+9q6dWsBn0KSJEmSJEmSVJLFhfXFxx9/POXLlz9gxfaOHTsOWNn9U/Xr1wegSZMmfPnll4wdO5a+ffsCcMIJJxT4nhUrVqRixYpH8hiSJEmSJEmSpFIgtJXh8fHxNGvWjGXLluUZX7ZsGa1bt873faLRKHv27Mn9uVWrVgfcc+nSpQW6pyRJkiRJkiQptoS2Mhxg5MiR9O/fn+bNm9OqVSumTp3Kli1buPbaa4Fg+5LPP/+cp59+GoDHHnuMk08+mYYNGwKQnp7Oww8/zI033ph7z+HDh9O2bVseeOABLr74Yl566SVef/110tPTi/8BJUmSJEmSJEklQqhleJ8+fdi5cyf33nsv27Zt46yzzmLx4sWccsopAGzbto0tW7bkzs/JyWHUqFF88sknxMXF0aBBA37/+98zdOjQ3DmtW7dm7ty5jBkzhrvvvpsGDRqQmppKixYtiv35JEmSJEmSJEklQyQajUbDDlHSZGVlkZiYSGZmJgkJCWHHkSRJkiRJkiQdREG63ND2DJckSZIkSZIkqbhYhkuSJEmSJEmSYp5luCRJkiRJkiQp5lmGS5IkSZIkSZJinmW4JEmSJEmSJCnmWYZLkiRJkiRJkmKeZbgkSZIkSZIkKeZZhkuSJEmSJEmSYp5luCRJkiRJkiQp5lmGS5IkSZIkSZJinmW4JEmSJEmSJCnmWYZLkiRJkiRJkmKeZbgkSZIkSZIkKeZZhkuSJEmSJEmSYp5luCRJkiRJkiQp5lmGS5IkSZIkSZJinmW4JEmSJEmSJCnmWYZLkiRJkiRJkmKeZbgkSZIkSZIkKeZZhkuSJEmSJEmSYp5luA6UkRF2AkmSJEmSJEkqVJbhymvHDmjUCH77W8jJCTuNJEmSJEmSJBUKy3DlVbMmDB8O994LffvC99+HnUiSJEmSJEmSjppluPKKROCuu+D552HRImjXDrZtCzuVJEmSJEmSJB0Vy3Ad3KWXQloafP45nHce/P3vYSeSJEmSJEmSpCNmGa5Da9YM3nwTatWCpCR46aWwE0mSJEmSJEnSEbEM1+GdeCKsWQOdO0PPnvDggxCNhp1KkiRJkiRJkgrEMlw/r2pVmDcPRo2CO+6AwYMhOzvsVJIkSZIkSZKUb5bhyp9y5WDcOHj6aZg1C1JS4Ouvw04lSZIkSZIkSfliGa6C6d8fVqyAzZuhRYvgXZIkSZIkSZJKOMtwFVybNsHBmpUrQ6tWsHRp2IkkSZIkSZIk6bAsw3Vk6tWDtWuhdWu48EJ47LGwE0mSJEmSJEnSIVmG68glJMDChXDDDf957dsXdipJkiRJkiRJOkBc2AFUysXFwcSJ0KgRDBsG//wnPPccJCaGnUySJEmSJEmScrkyXIVj6FB47bVgL/FWreCjj8JOJEmSJEmSJEm5LMNVeDp2hL/+FfbuhRYtIC0t7ESSJEmSJEmSBFiGq7CdcUZQiDdpAh06wMyZYSeSJEmSJEmSJMtwFYHjjoMlS2DgQLjqKrjzTsjJCTuVJEmSJEmSpDLMAzRVNOLjYerU4GDNW2+Ff/wDnnkGqlULO5kkSZIkSZKkMsiV4So6kQiMHAkvvQSvvw7JybB1a9ipJEmSJEmSJJVBluEqet27wxtvQEYGnHcevPVW2IkkSZIkSZIklTGW4SoeZ58Nb74J9epB27bw3HNhJ5IkSZIkSZJUhliGq/jUrg0rV0LPntCnD9x3H0SjYaeSJEmSJEmSVAZ4gKaKV6VKMGtWcLDmPffA++/D9OnBuCRJkiRJkiQVEVeGq/hFInD33ZCaCvPnQ/v28OWXYaeSJEmSJEmSFMMswxWe3r1h9Wr49NPgYM133w07kSRJkiRJkqQYZRmucJ13Hrz1FtSoAW3awMsvh51IkiRJkiRJUgyyDFf4TjoJ0tKgY0fo0QMefdSDNSVJkiRJkiQVKstwlQzVqsELL8Dtt8Mtt8BvfgPZ2WGnkiRJkiRJkhQj4sIOIOUqVw5+/3to2DAowz/8MCjIa9QIO5kkSZIkSZKkUs6V4Sp5Bg2C5cvhf/8XWrSAf/wj7ESSJEmSJEmSSjnLcJVMycnw5ptQoQK0bBmU45IkSZIkSZJ0hCzDVXKdeiqsWwfnnQedO8OUKWEnkiRJkiRJklRKWYarZEtMhFdegeuug2uvhREjYP/+sFNJkiRJkiRJKmU8QFMlX1wc/OlP0KgR3HQTfPABzJ0LCQlhJ5MkSZIkSZJUSrgyXKXH9dfD4sWwdi20bg2ffBJ2IkmSJEmSJEmlhGW4SpdOnYJ9xH/4AVq0gDfeCDuRJEmSJEmSpFLAMlylT6NG8Le/Be8XXADPPht2IkmSJEmSJEklnGW4SqfjjoNly6BfP+jfH8aOhWg07FSSJEmSJEmSSigP0FTpFR8PM2bA6afD6NHw0UcwbRpUrBh2MkmSJEmSJEkljCvDVbpFInDXXTB3LsybBykpsHNn2KkkSZIkSZIklTCW4YoNffrAihWweTO0agX//GfYiSRJkiRJkiSVIJbhih2tWwcHa5YvDy1bQlpa2IkkSZIkSZIklRCW4Yotp54Ka9fC//wPdOwIzz4bdiJJkiRJkiRJJYBluGJP9erw2mvQrx/07w+/+x1Eo2GnkiRJkiRJkhSiuLADSEUiPh5mzIDTT4fRo+HDD2HaNKhYMexkkiRJkiRJkkLgynDFrkgE7roL5s6FefMgJQV27gw7lSRJkiRJkqQQWIYr9vXpAytWwObN0KoV/POfYSeSJEmSJEmSVMwsw1U2tG4Nf/0rlCsHLVtCWlrYiSRJkiRJkiQVI8twlR0NGsC6dXD22dCxI8yaFXYiSZIkSZIkScXEMlxlS/XqsGQJ9OsHV14J994L0WjYqSRJkiRJkiQVsbiwA0jFLj4eZsyA006DMWPgww/hySehYsWwk0mSJEmSJEkqIpbhKpsiERg9Otg6ZdAg+OwzWLAAatQIO5kkSZIkSZKkIuA2KSrbLr8cli+HTZuCgzU//DDsRJIkSZIkSZKKgGW41KYN/PWvUK5cUIinp4edSJIkSZIkSVIhswyXINguZe1aaNIEOnSA2bPDTiRJkiRJkiSpEFmGSz+qUQOWLIG+feGKK+C++yAaDTuVJEmSJEmSpELgAZrSf4uPh6eegtNPhzFjgj3Ep06FihXDTiZJkiRJkiTpKIS+Mnzy5MnUr1+fSpUq0axZM9LS0g45d/78+aSkpFCzZk0SEhJo1aoVS5YsOWDexIkTOeOMM6hcuTJ169bl5ptv5ocffijKx1AsiURg9Ohgq5TUVOjcGTIywk4lSZIkSZIk6SiEWoanpqYyYsQIRo8ezcaNG0lOTqZr165s2bLloPPXrFlDSkoKixcvZsOGDbRv357u3buzcePG3DmzZs3izjvv5Le//S2bN29m+vTppKamMmrUqOJ6LMWKvn1h+XJ47z1o1SpYJS5JkiRJkiSpVIpEo+FtityiRQvOPfdcHn/88dyxRo0acckllzBhwoR83ePMM8+kT58+3HPPPQDccMMNbN68meXLl+fOueWWW3jzzTcPu+r8v2VlZZGYmEhmZiYJCQkFeCLFpA8/hG7dYOdOeOklaNMm7ESSJEmSJEmSKFiXG9rK8OzsbDZs2ECnTp3yjHfq1Im1a9fm6x45OTns2rWLGjVq5I4lJSWxYcMG3nzzTQA+/vhjFi9eTLdu3Q55nz179pCVlZXnJeU67TRYtw7OOgsuuADmzAk7kSRJkiRJkqQCCu0Aza+//pr9+/dTu3btPOO1a9dm+/bt+brHI488wu7du+ndu3fu2OWXX85XX31FUlIS0WiUffv2cd1113HnnXce8j4TJkzgd7/73ZE9iMqGGjVg6VIYMgT69QtWi48ZE+wvLkmSJEmSJKnEC/0AzchPysRoNHrA2MHMmTOHsWPHkpqaSq1atXLHV61axbhx45g8eTJvv/028+fP5+WXX+a+++475L1GjRpFZmZm7mvr1q1H/kCKXfHxMHMm3Hcf3HMPDBoE2dlhp5IkSZIkSZKUD6GtDD/++OMpX778AavAd+zYccBq8Z9KTU1l8ODBzJs3j44dO+b57O6776Z///5cc801ADRp0oTdu3fzm9/8htGjR1Ou3IH9f8WKFalYseJRPpHKhEgkWBHeoEFQhn/2GcyfH6wclyRJkiRJklRihbYyPD4+nmbNmrFs2bI848uWLaN169aHvG7OnDkMGjSI2bNnH3Qf8O++++6Awrt8+fJEo1FCPCtUsaZvX1i+HN57D1q1go8+CjuRJEmSJEmSpMMIdZuUkSNHMm3aNGbMmMHmzZu5+eab2bJlC9deey0QbF8yYMCA3Plz5sxhwIABPPLII7Rs2ZLt27ezfft2MjMzc+d0796dxx9/nLlz5/LJJ5+wbNky7r77bnr06EH58uWL/RkVw5KS4K9/Df7cogW88Ua4eSRJkiRJkiQdUmjbpAD06dOHnTt3cu+997Jt2zbOOussFi9ezCmnnALAtm3b2LJlS+78KVOmsG/fPoYNG8awYcNyxwcOHMjMmTMBGDNmDJFIhDFjxvD5559Ts2ZNunfvzrhx44r12VRGnHYarFsHPXvCBRcEe4r37Rt2KkmSJEmSJEk/EYm6d8gBsrKySExMJDMzk4SEhLDjqDTYsweGDIFnngkO2Bw9OthfXJIkSZIkSVKRKUiXG+rKcClmVKwIf/kLnH463H03fPghTJ0K8fFhJ5MkSZIkSZKEZbhUeCKRoAhv0ACuugo++wxeeAFq1Ag7mSRJkiRJklTmhXqAphST+vWD5cvhf/8XWreGjz4KO5EkSZIkSZJU5lmGS0UhKQn++lfIyYGWLeGNN8JOJEmSJEmSJJVpluFSUTntNFi3Dho3hg4dYO7csBNJkiRJkiRJZZZluFSUjjsOli6F3r2hb1+YMAGi0bBTSZIkSZIkSWWOB2hKRa1iRfjLX+DUU+Guu+CTT2DyZIjzP36SJEmSJElScbGNk4pDJAJjx0K9ejBkCGzdCs89B8ccE3YySZIkSZIkqUxwmxSpOA0aBK++CmvXQnIyfP552IkkSZIkSZKkMsEyXCpuHTtCejpkZEDLlvDuu2EnkiRJkiRJkmKeZbgUhiZN4K9/hZo1ISkpOGRTkiRJkiRJUpGxDJfC8otfwJo1wXYp3brBjBlhJ5IkSZIkSZJilmW4FKZq1eCll2Dw4OB1990QjYadSpIkSZIkSYo5cWEHkMq8uDh4/HE49VS44w749FOYPh3i48NOJkmSJEmSJMUMy3CpJIhE4Pbb4ZRTYMAA+Ne/YP58qF497GSSJEmSJElSTHCbFKkk6dMHli+Hd9+FNm2CVeKSJEmSJEmSjppluFTSJCXB2rWwZw+0bAnr14edSJIkSZIkSSr1LMOlkuiMM2DdOqhXD9q1g0WLwk4kSZIkSZIklWqW4VJJVasWrFgBnTvDJZfAY4+FnUiSJEmSJEkqtSzDpZKsShWYNw+GD4cbboBbb4WcnLBTSZIkSZIkSaVOXNgBJP2M8uXh0Uehfv2gFP/0U3jmGahcOexkkiRJkiRJUqnhynCptLjxRliwABYvhg4d4Kuvwk4kSZIkSZIklRqW4VJpcvHFsGoVfPQRtGoF//xn2IkkSZIkSZKkUsEyXCptzjsP/vpXiIsLCvG1a8NOJEmSJEmSJJV4luFSaVS/flCCn3lmsGXK/PlF/pXbthXvdZIkSZIkSVJhsgyXSqsaNWDJkmDrlMsug0mTiuyrFi6EU0+F8eMhOzt/12Rnw7hxQW+/aFGRRZMkSZIkSZLyxTJcKs0qVYLZs+HWW2HECBg5EnJyCv1rFiyAH36A0aPhnHMgPf3w89PSoGlTGDMG9uwJrpckSZIkSZLCZBkulXblysGDD8Kf/wwTJ0KfPkFzXYhmzIBZs6BmTdi0CZKTYcgQyMjIOy8jIxhv2xY2b4ZatYLrpk8v1DiSJEmSJElSgVmGS7Fi2LBgCfYrr0DHjrBzZ6HdOhKBfv3g/feDshtg2jRo1ChYmB6NBqV3w4bBOATzNm8OrotECi2KJEmSJEmSdEQi0Wg0GnaIkiYrK4vExEQyMzNJSEgIO45UMH/7G1x0ERx3HCxeHGz2XcjS02Ho0GCV+E81bgxTpkBSUqF/rSRJkiRJkpRHQbpcV4ZLsaZFC1i3Dvbvh1at4K23Cv0rkpJg48bggMz/Nn58MG4RLkmSJEmSpJLGMlyKRaedBmvXBqvCzz8fXn650L8iPh7uugt69gx+7tkTRo0KxiVJkiRJkqSSxjJcilU1a8Ly5dCpE1x8cbB3SRFo0CDvuyRJkiRJklQSWYZLsaxKFXj++eBwzWuvDZZu5+SEnUqSJEmSJEkqdnFhB5BUxMqXh0mToF49uOUW2LoVZsxwPxNJkiRJkiSVKZbhUlkQicDIkXDSSdC/P3zxBcyfD8ceG3YySZIkSZIkqVi4TYpUlvTuDa+/Dn//OyQlwZYtYSeSJEmSJEmSioVluFTWJCfD2rWweze0ahUU45IkSZIkSVKMswyXyqKGDWHdOqhTB9q2hWXLwk4kSZIkSZIkFSnLcKmsOuEEWLUqWCl+4YUwc2bYiSRJkiRJkqQi4wGaUllWrRq89BIMGwZXXQWffQb33BMcuJlPAwYEu62cfnoR5pQkSZIkSZKOkmW4VNbFxcETT8App8Do0cGhmk88ARUq5OvyJk2ClyRJkiRJklSSWYZLClaC33UXnHxysEJ82zZ47rlg5bgkSZIkSZIUA9wzXNJ/XHklLF4MaWnQvj3s2BF2IkmSJEmSJKlQWIZLyislBdasgX/9C1q3hg8/DDuRJEmSJEmSdNQswyUd6JxzYN26YD/x1q3hrbfCTiRJkiRJkiQdFctwSQdXrx688Qacdhqcf36wfYokSZIkSZJUSlmGSzq0446D118Ptk7p0QNmzAg7kSRJkiRJknRELMMlHV6VKvDCCzBkCAweDPfdB9Fo2KkkSZIkSZKkAokLO4CkUqB8eZg8GU46CcaMCQ7XfOyxYE9xSZIkSZIkqRSwyZKUP5EIjB4NJ54I11wD27bB3LnBynFJkiRJkiSphHObFEkFM2gQLFoEK1ZAhw7w9ddhJ5IkSZIkSZJ+lmW4pILr2hVWrYKPP4Y2beCTT8JOJEmSJEmSJB2WZbikI9O8OaxdCzk50KoVvP122IkkSZIkSZKkQ7IMl3TkGjQICvFTToF27WDp0rATSZIkSZIkSQdlGS7p6NSsGewf3q4ddOsGzzwTdiJJkiRJkiTpAJbhko5e1arw4oswcCAMGAC//z1Eo2GnkiRJkiRJknLFhR1AUoyIi4Mnn4STToJRo+Bf/4JJk6B8+bCTSZIkSZIkSZbhkgpRJAJjx8KJJ8K118IXX8CsWVC5ctjJJEmSJEmSVMa5TYqkwjdkCLz0Erz2GqSkQEZG2IkkSZIkSZJUxlmGSyoaF10EK1fC++9DUhJs2RJ2IkmSJEmSJJVhluGSik6LFrB2LfzwA7RqBe+8E3YiSZIkSZIklVGW4ZKK1i9/CevWwQknQHIyrFgRdiJJkiRJkiSVQZbhkope7dqwahW0bg1dusCcOWEnkiRJkiRJUhljGS6peBxzDCxaBH37Qr9+8MgjEI2GnUqSJEmSJEllRFzYASSVIRUqwMyZcNJJcOut8K9/BaV4Of9eTpIkSZIkSUXLMlxS8YpEYNw4OPFEuOEG+OIL+MtfoFKlsJNJkiRJkiQphrkcU1I4rr8eXngBFi4M9hH/5puwE0mSJEmSJCmGWYZLCk/PnvD66/Duu5CUFGybIkmSJEmSJBUBy3BJ4WrTBt54A3btglat4L33wk4kSZIkSZKkGGQZLil8jRrBunVw3HGQnAxr1oSdSJIkSZIkSTHGMlxSyfCLX8Dq1dCsGaSkwLx5YSeSJEmSJElSDLEMl1RyJCbC4sVw2WXQpw/88Y9hJ5IkSZIkSVKMiAs7gCTlER8PzzwDJ54Iw4cHh2r+/vdQzr+7kyRJkiRJ0pGzDJdU8pQrBw8+GBTiN98Mn38OTz0VFOWSJEmSJEnSEbAMl1RyDR8e7CV+5ZXw5Zcwfz4kJISdSpIkSZIkSaWQ+w5IKtl+/WtYuhTWr4e2beGLL8JOJEmSJEmSpFIo9DJ88uTJ1K9fn0qVKtGsWTPS0tIOOXf+/PmkpKRQs2ZNEhISaNWqFUuWLDlg3jfffMOwYcOoU6cOlSpVolGjRixevLgoH0NSUWrXDtLTYedOaNUKNm8OO5EkSZIkSZJKmVDL8NTUVEaMGMHo0aPZuHEjycnJdO3alS1bthx0/po1a0hJSWHx4sVs2LCB9u3b0717dzZu3Jg7Jzs7m5SUFD799FOef/55/vGPf/Dkk09y4oknFtdjSSoKZ50F69YF26S0acPXi9Yd0W22bSvkXJIkSZIkSSoVItFoNBrWl7do0YJzzz2Xxx9/PHesUaNGXHLJJUyYMCFf9zjzzDPp06cP99xzDwBPPPEEDz30EO+//z4VKlQ4olxZWVkkJiaSmZlJgvsTSyXLN9+ws00PKm9az6L+8+g5rVu+ztXMzoaHHoL77oN586B796KPKkmSJEmSpKJVkC43tJXh2dnZbNiwgU6dOuUZ79SpE2vXrs3XPXJycti1axc1atTIHVu4cCGtWrVi2LBh1K5dm7POOovx48ezf//+Q95nz549ZGVl5XlJKqGOPZZR5y5hCZ259JmLGVv/L6SnH/6StDRo2hTGjIE9e2DBgmJJKkmSJEmSpBIktDL866+/Zv/+/dSuXTvPeO3atdm+fXu+7vHII4+we/duevfunTv28ccf8/zzz7N//34WL17MmDFjeOSRRxg3btwh7zNhwgQSExNzX3Xr1j2yh5JULKY8XZkfnp7H7EpXM/6LQSxMfpAh10TJyMg7LyMDhgwJzt3cvBlq1YJZs2D69HByS5IkSZIkKTyhH6AZiUTy/ByNRg8YO5g5c+YwduxYUlNTqVWrVu54Tk4OtWrVYurUqTRr1ozLL7+c0aNH59mK5adGjRpFZmZm7mvr1q1H/kCSilwkAn37x3HRv6bw8jl38yB30Gj6LTRumMPs2RCNBqV3w4YwbVpwzZAhQSHer19wvSRJkiRJksqWuLC++Pjjj6d8+fIHrALfsWPHAavFfyo1NZXBgwczb948OnbsmOezOnXqUKFCBcqXL5871qhRI7Zv3052djbxB9lcuGLFilSsWPEonkZSGGocF+Git+/lo5G1GfGHG6n91ZcMuuIprrjiP/85b9wYpkyBpKQQg0qSJEmSJCl0oa0Mj4+Pp1mzZixbtizP+LJly2jduvUhr5szZw6DBg1i9uzZdOvW7YDP27Rpw4cffkhOTk7u2AcffECdOnUOWoRLKv0aPDqM/bNT6VP+eRbSg6p8C8D48bBxo0W4JEmSJEmSQt4mZeTIkUybNo0ZM2awefNmbr75ZrZs2cK1114LBNuXDBgwIHf+nDlzGDBgAI888ggtW7Zk+/btbN++nczMzNw51113HTt37mT48OF88MEHvPLKK4wfP55hw4YV+/NJKj4V+v6auKWv0jZuLSu4gIEXfsWoUeDfgUmSJEmSJAlCLsP79OnDxIkTuffee2natClr1qxh8eLFnHLKKQBs27aNLVu25M6fMmUK+/btY9iwYdSpUyf3NXz48Nw5devWZenSpbz11lucffbZ3HTTTQwfPpw777yz2J9PUjG74AKm9l3FKXzGg+uS4NNPw04kSZIkSZKkEiISjUajYYcoabKyskhMTCQzM5OEhISw40gqgNtug/kPf8SbiZ04rsr38NprcPbZYceSJEmSJElSEShIlxvqynBJKgof04A/91sLJ5wAbdtCWlrYkSRJkiRJkhQyy3BJMenbqrVh1Spo1gxSUuDFF8OOJEmSJEmSpBBZhkuKXQkJsHgx9OgBl14KTz4ZdiJJkiRJkiSFxDJcUmyrWBHmzIHrroPf/Abuvx88KkGSJEmSJKnMiQs7gCQVufLl4U9/CvYQv/tu2L4dJk0KxiVJkiRJklQmWIZLKhsiERgzBmrXhmuvhR074JlngpXjkiRJkiRJinmW4ZJiyoAB0KoVnH76ISYMGQI1a8Lll8OFF8KCBcHe4pIkSZIkSYppkWjUzXN/Kisri8TERDIzM0mwJJNi05o1wcGap54Kr74arBiXJEmSJElSqVKQLtcDNCWVTW3bBoX49u3Qpg189FHYiSRJkiRJklSELMMllV1nnw1r1wYHabZuDRs3hp1IkiRJkiRJRcQyXFLZVq8epKfDKadAu3awYkXYiSRJkiRJklQELMMlqWbNoARv1Qq6doV588JOJEmSJEmSpEJmGS5JANWqwaJF8OtfQ58+8NhjYSeSJEmSJElSIYoLO4AklRjx8fD001CrFtxwQ3C45r33QiQSdjJJkiRJkiQdJctwSfpv5crBI4/ACSfAHXfAl1/C5MkQ539dSpIkSZIklWa2O5L0U5EI3H57sEL8mmvgq69gzhyoVCnsZJIkSZIkSTpC7hkuSYcyaBC89BIsWQKdOsE334SdSJIkSZIkSUfIMlySDqdbN1i+HN57D9q2hS++CDuRJEmSJEmSjoBluCT9nFatID0d/v1vaN0aPvgg7ESSJEmSJEkqIMtwScqPxo1h7VqoUgXatIG33go7kSRJkiRJkgrAMlyS8qtu3WCF+OmnQ/v2wV7ikiRJkiRJKhUswyWpIGrUgNdfh/PPh4suglmzwk4kSZIkSZKkfLAMl6SCqlIFFiyAK68MXhMnhp1IkiRJkiRJPyMu7ACSVCpVqAAzZsAJJ8DNN8P27TBhAkQiYSeTJEmSJEnSQViGS9KRikSCArx27aAQ//JLmDo1KMolSZIkSZJUoliGS9LRGjECatWCgQPhq6/gueeCrVQkSZIkSZJUYrhnuCQVhn794JVXYNUq6NgRdu4MO5EkSZIkSZL+i2W4JBWWTp1g5Ur45z+hbVv4/POwE0mSJEmSJOn/swyXpML0q19Bejrs2gVt2gTFeD5t23ZkX3mk10mSJEmSJJUlluGSVNjOOAPeeAMqVw4K8Y0bf/aShQvh1FNh/HjIzs7f12Rnw7hxUL8+LFp0lJklSZIkSZJinGW4JBWFunUhLQ3q1YN27WD16sNOX7AAfvgBRo+Gc84JFpcfTloaNG0KY8bAnj3B9ZIkSZIkSTo0y3BJKirHHw/Ll0OLFtC5c7D8+xBmzIBZs6BmTdi0CZKTYcgQyMjIOy8jIxhv2xY2b4ZatYLrpk8v4meRJEmSJEkq5SzDJakoHXMMvPwydO8OvXrBzJkHnRaJQL9+8P77QdkNMG0aNGoEs2dDNBqU3g0bBuMQzNu8ObguEimex5EkSZIkSSqtItFoNBp2iJImKyuLxMREMjMzSUhICDuOpFiwfz9cfz1MnQoPPwy33HLY6enpMHRosEr8pxo3hilTICmpiLJKkiRJkiSVEgXpcl0ZLknFoXx5eOIJuOsuuPVWGDUqWO59CElJwbmb48blHR8/Phi3CJckSZIkSSqYuLADSFKZEYkE7fZxxwUrw3fuhMcfD4ryg4iPD7rz9euDAzJ79gw6dEmSJEmSJBWcZbgkFbeRI4NCfPDg4ETMWbOgYsVDTm/QIO+7JEmSJEmSCs5tUiQpDAMHwvz5weGa3brBrl1hJ5IkSZIkSYppluGSFJYePWDJEnjrLejQAb7+OuxEkiRJkiRJMcsyXJLC1K4drFoFn30GycmwdWvYiSRJkiRJkmKSZbgkhe2ccyA9Hb7/Htq0gfffDzuRJEmSJElSzLEMl6SS4PTT4Y03ICEBkpJg/fqwE0mSJEmSJMUUy3BJKilOPBHWrAmK8fbtYcWKsBNJkiRJkiTFDMtwSTpK27YV4nU1asDrrwfbpXTtCvPnH1U2SZIkSZIkBSzDJekoLFwIp54K48dDdnb+rsnOhnHjoH59WLToIBOqVg1u3LMn/PrXDK86jRdegAEDCjW6JEmSJElSmWIZLklHYcEC+OEHGD36P+dgHk5aGjRtCmPGwJ49wfUHFR8Ps2bB0KGc9Lsh9PrwQZo0Kez0kiRJkiRJZYdluCQdhRkzgs66Zk3YtAmSk2HIEMjIyDsvIyMYb9sWNm+GWrWC66ZPP8zNy5eHxx6De+6BO+6A226DaLRIn0eSJEmSJClWWYZL0lGIRKBfP3j//aDsBpg2DRo1gtmzg+561ixo2DAYh2De5s3BdZFIPr7gd7+DSZPg4Ydh8GDYt69In0mSJEmSJCkWRaJRlxn+VFZWFomJiWRmZpKQkBB2HEmlSHo6DB0arBL/qcaNYcoUSEo6wpvPmgUDB0L37jBnDlSqdFRZJUmSJEmSSruCdLmuDJekQpSUBBs3Bgdk/rfx44PxIy7CAa64Al56CV57Dbp2hayso8oqSZIkSZJUlliGS1Ihi4+Hu+6Cnj2Dn3v2hFGjgvGj1q0bLFsWNOvt28OOHYVwU0mSJEmSpNhnGS5JRaRBg7zvhSYpCdasgc8/D/782WeF/AWSJEmSJEmxxzJckkqjs8+GN94IDtNs0+bgm5RLkiRJkiQpl2W4JJVWDRoEhXiNGpCcDH/7W9iJJEmSJEmSSizLcEkqzerUgdWroVEj6NAh2E9ckiRJkiRJB7AMl6TSrnp1WLoU2rYl2q0bzJtX4Fts21YEuSRJkiRJkkoQy3BJigVVqrDompeYu7830T592PfnJ/J1WXY2jBsH9evDokVFnFGSJEmSJClEluGSFCPmL6rAFTlP86foDcTdeB2f/mYcRKOHnJ+WBk2bwpgxsGcPLFhQfFklSZIkSZKKm2W4JMWIGTPg2VnluP/4SdzNvdR7cgzLzr6FjK9z8szLyIAhQ6BtW9i8GWrVglmzYPr0kIJLkiRJkiQVA8twSSoiAwbACy8E78UhEoF+/eD9f0T4csjdXM9jdHhvIq/XHcScp/cSjQald8OGMG1acM2QIUEh3q9fcL0kSZIkSVKsikSjh/kd+jIqKyuLxMREMjMzSUhICDuOJB2R9HR48fK5TPi8P6/Rhd48xw9UBqBxY5gyBZKSQg4pSZIkSZJ0FArS5boyXJJiVFISjP/4cl4YuIgLWMESOpPIN4wfDxs3WoRLkiRJkqSyxTJckmJYfDxcPrML97V9nbN4j42J5zPqqu3Ex4edTJIkSZIkqXhZhktSGbD/vFa0ZQ019u0IloR/8knYkSRJkiRJkoqVZbgklRH/x1k81veN4IekJNi0KdxAkiRJkiRJxcgyXJLKkH8fWz84WfO446BtW3jrrbAjSZIkSZIkFQvLcEkqa044AVavhtNPhwsugFWrwk4kSZIkSZJU5CzDJaksql4dli2Dli2hSxdYtCjsRJIkSZIkSUXKMlySyqpq1eDll6FbN+jZE2bNCjuRJEmSJElSkbEMl6SyrGJFSE2F/v2D1+TJYSeSJEmSJEkqEnFhB5AkhSwuDqZPh2OPhWHDIDMT7rwTIpGwk0mSJEmSJBUay3BJKgMGDIBWrYIzMw+qXDl49NFgL/G77oJ//xseeMBCXJIkSZIkxQzLcEkqA5o0CV6HFYnAPfdAYiKMGAHffAOPPw7lyxdDQkmSJEmSpKJlGS5Jymv48GDLlKuvDrZMeeYZiI8PO5UkSZIkSdJR8QBNSdKBBg6E55+HF1+Eiy+G774LO5EkSZIkSdJRsQyXJB1cz57wyiuQlgadOwerxCVJkiRJkkopy3BJ0qF17Aivvw7vvQft28OOHWEnkiRJkiRJOiKW4ZKkw2vZEtasgW3bIDkZtmwJO5EkSZIkSVKBhV6GT548mfr161OpUiWaNWtGWlraIefOnz+flJQUatasSUJCAq1atWLJkiWHnD937lwikQiXXHJJESSXpDKkSZNgu5TsbEhKgg8+CDuRJEmSJElSgYRahqempjJixAhGjx7Nxo0bSU5OpmvXrmw5xKrDNWvWkJKSwuLFi9mwYQPt27ene/fubNy48YC5n332GbfeeivJyclF/RiSVDacdhqkp0O1asEK8b//PexEkiRJkiRJ+RaJRqPRsL68RYsWnHvuuTz++OO5Y40aNeKSSy5hwoQJ+brHmWeeSZ8+fbjnnntyx/bv30+7du246qqrSEtL45tvvuHFF1/Md66srCwSExPJzMwkISEh39dJUpnw9dfQtSv885/BAZtt2oSdSJIkSZIklVEF6XJDWxmenZ3Nhg0b6NSpU57xTp06sXbt2nzdIycnh127dlGjRo084/feey81a9Zk8ODB+brPnj17yMrKyvOSJB3C8cfD8uXQtCmkpMBrr4WdSJIkSZIk6WeFVoZ//fXX7N+/n9q1a+cZr127Ntu3b8/XPR555BF2795N7969c8feeOMNpk+fzpNPPpnvLBMmTCAxMTH3Vbdu3XxfK0llUkICvPoqdOgAPXrAvHlhJ5IkSZIkSTqs0A/QjEQieX6ORqMHjB3MnDlzGDt2LKmpqdSqVQuAXbt2ceWVV/Lkk09y/PHH5zvDqFGjyMzMzH1t3bq1YA8hSWVR5cowfz78+tdw+eUwfXrYiSRJkiRJkg4pLqwvPv744ylfvvwBq8B37NhxwGrxn0pNTWXw4MHMmzePjh075o5/9NFHfPrpp3Tv3j13LCcnB4C4uDj+8Y9/0KBBgwPuV7FiRSpWrHg0jyNJZVOFCvDMM5CYCNdcA998A7fcEnYqSZIkSZKkA4RWhsfHx9OsWTOWLVtGz549c8eXLVvGxRdffMjr5syZw9VXX82cOXPo1q1bns8aNmzI//7v/+YZGzNmDLt27WLSpElufyJJRaFcOXjsMTj2WLj1Vvj3v+G++yAfv+UjSZIkSZJUXEIrwwFGjhxJ//79ad68Oa1atWLq1Kls2bKFa6+9Fgi2L/n88895+umngaAIHzBgAJMmTaJly5a5q8orV65MYmIilSpV4qyzzsrzHcceeyzAAeOSpEIUicD48VC9Otx+e7BC/I9/DIpySZIkSZKkEiDUMrxPnz7s3LmTe++9l23btnHWWWexePFiTjnlFAC2bdvGli1bcudPmTKFffv2MWzYMIYNG5Y7PnDgQGbOnFnc8SVJP3XbbcEK8aFDITMTZswItlKRJEmSJEkKWSQajUbDDlHSZGVlkZiYSGZmJgkJCWHHkaTS57nn4MoroWtXSE2FSpXCTiRJkiRJkmJQQbpcf39dklT4eveGl16CZcvgwgth166wE0mSJEmSpDLOMlySVDS6doUlS2DDBujQAXbuDDuRJEmSJEkqwyzDJUlFJzkZVq6ETz+Fdu3giy/CTiRJkiRJksooy3BJUtE691xIS4OsLEhKgo8/DjuRJEmSJEkqgyzDJUlF74wzID0dKlQICvH33gs7kSRJkiRJKmMswyVJxePkk2HNGqhVC9q2hTffDDuRJEmSJEkqQyzDJUnFp3ZtWLUKGjcODtVcsSLsRJIkSZIkqYywDJckFa9jj4UlS6BNG7jwQnjppbATSZIkSZKkMsAyXJJU/KpWhYULoUcPuPRSeOaZsBNJkiRJkqQYZxkuSQpHfDzMmQODBsGAAfDnP4edSJIkSZIkxbC4sANIksqw8uXhySeDrVNuvBG++QZGj4ZIJOxkkiRJkiQpxliGS5LCFYnAQw9B9eowZkxQiD/0kIW4JEmSJEkqVJbhkqTwRSLBivBjj4UbboCsLHj88WDluCRJkiRJUiGwDJcklRzDhkG1anD11UEh/swzUKFC2KkkSZIkSVIMsAyXJJUsAwfCMcfA5ZfD7t3w3HNQuXLYqSRJkiRJUilXLuwAkiQdoFcvWLQIli+Hbt1g166wE0mSJEmSpFLOMlySVDJ17gxLl8KGDdCxI2RkhJ1IkiRJkiSVYpbhkqSSKykJVq6Ejz+G88+H7dvDTiRJkiRJkkopy3BJUsl27rmwZg3s3AnJyfDZZ2EnkiRJkiRJpZBluCSpSGzbVojXNWoE6emwf39QiH/wwVFlkyRJkiRJZY9luCSp0C1cCKeeCuPHQ3Z2/q7JzoZx46B+/eDszAPUrw9paVCtWlCIv/NOoWaWJEmSJEmxzTJcklToFiyAH36A0aPhnHOCRd2Hk5YGTZvCmDGwZ09w/UGdeGKwZUrdusEe4n/9ayEnlyRJkiRJscoyXJJU6GbMgFmzoGZN2LQpWMg9ZAhkZOSdl5ERjLdtC5s3Q61awXXTpx/m5scfD8uXw1lnQceOwZ8lSZIkSZJ+hmW4JKnQRSLQrx+8/35QdgNMmxZs/T17NkSjQendsGEwDsG8zZuD6yKRn/mCxERYsgSSkqBbt0PsqyJJkiRJkvQfkWg0Gg07REmTlZVFYmIimZmZJCQkhB1Hkkq99HQYOjRYJf5TjRvDlClBr11ge/bAFVfAiy/C008HTbokSZIkSSozCtLlujJcklTkkpJg48bggMz/Nn58MH5ERThAxYowdy707w9XXglTpx51VkmSJEmSFJviwg4gSSob4uPhrrtg/frggMyePWHUqEK4cVxcsMn4MccEy8+zsuDWWwvhxpIkSZIkKZZYhkuSilWDBnnfC0W5cjBpEiQkwG23QWYm3HtvPjYflyRJkiRJZYVluCQpNkQicP/9QSF+xx3BCvE//CEoyiVJkiRJUplnGS5Jii233x4U4tdfD7t2BfuIx/n/7iRJkiRJKutsByRJsefaa4M9xAcOhG+/hWefDTYtlyRJkiRJZZa/Oy5Jik1XXAHPPw8vvRSc1vn992EnkiRJkiRJIbIMlyTFrksugZdfhlWr4MILg21TJEmSJElSmWQZLkmKbSkpsGQJvP02dOwIGRlhJ5IkSZIkSSGwDJckxb6kJFixAj76CNq3hy+/DDuRJEmSJEkqZpbhkqRiNWAAvPBC8F6smjWD1avhq6+gbVvYurWYA0iSJEmSpDBZhkuSilWTJtCrV/Be7M48E9LSYM8eSE6GDz8MIYQkSZIkSQqDZbgkqWxp0ADS06FSpaAQf++9sBNJkiRJkqRiYBkuSSp7TjoJ1qyB2rWhXTtYvz7sRJIkSZIkqYhZhkuSYta2bYf5sFYtWLkSTj8dLrgg2D4lP9dJkiRJkqRSyTJckhSTFi6EU0+F8eMhO/sQk6pXh2XLoHlz6NyZva8sZdw4qF8fFi0q1riSJEmSJKmIWYZLkmLSggXwww8wejScc06wTfhBHXMMvPIKO5teQLR7d9aPWcCePcH1kiRJkiQpdliGS5Ji0owZMGsW1KwJmzYFZ2UOGQIZGXnnZWTAkJsqU2fdfBZEL2Eev+aN655l+vRwckuSJEmSpKJhGS5JikmRCPTrB++/H5TgANOmQaNGMHs2RKNBWd6wYTC+l3hWDJ7N/isG0vqJAUSmPBHuA0iSJEmSpEIViUaj0bBDlDRZWVkkJiaSmZlJQkJC2HEkSYUgPR2GDg1Wif9U48YwZQokJQE5OXDzzfDHP8KDD8JttxV7VkmSJEmSlD8F6XJdGS5JKhOSkmDjRhg3Lu/4+PHBeFLS/x8oVw4mTgw2G7/9drjnnmAZuSRJkiRJKtXiwg4gSVJxiY+Hu+6C9euDAzJ79oRRow4yMRKB++8PDte8807YtQsefTQYlyRJkiRJpZJluCSpzGnQIO/7Id1xR1CIDxsG334LTzwB5csXeT5JkiRJklT4LMMlSTqc66+HatXgqqtg9274y1+gQoWwU0mSJEmSpAKyDJck6ecMGABVq0LfvvDddzB3LlSqFHYqSZIkSZJUAB6gKUlSflx6Kbz4IixZAj16BKW4JEmSJEkqNSzDJUnKrwsvhMWLYe1a6NIFsrLCTiRJkiRJkvLJMlySpIJo3x6WLYN334UOHSAjI+xEkiRJkiQpHyzDJUkqqFatYOVK+PRTOP98+PLLsBNJkiRJkqSfYRkuSdKROOccWL0avv4a2raFrVvDTiRJkiRJkg7DMlySVOYMGAAvvBC8H5XGjSEtDfbsgeRk+OijQsknSZIkSZIKn2W4JKnMadIEevUK3o9agwZBIV6xYlCIb9pUCDeVJEmSJEmFzTJckqSjVbcurFkDxx0H7drBxo1hJ5IkSZIkST9hGS5JUmGoXRtWrYJ69aB9e1i3LuxEkiRJkiTpv1iGS5JUWI47DpYvD/ZfSUkJynFJkiRJklQiWIZLklSYEhLgtdegdWvo2hUWLw47kSRJkiRJwjJckqTCV7UqLFoEnTvDJZfACy+EnUiSJEmSpDLPMlySpKJQsSLMmweXXQa9e8Mzz4SdSJIkSZKkMi0u7ACSJMWsChWCErxKFRgwAHbvhmuvDTuVJEmSJEllkmW4JElFqXx5tv1uKnWqVoXrrgsK8Vtuydel27ZBnTpFnE+SJEmSpDLCbVIkSSpCCxfCqaeVY3ytiey/4y649Vb43e8gGj3kNdnZMG4c1K8fbD0uSZIkSZKOnmW4JElFaMEC+OEHGD0mwtmLxvHpb8bD2LFw++0HLcTT0qBpUxgzBvbsCa6XJEmSJElHzzJckqQiNGMGzJoFNWvCpk1Qf+oo5rScBA8/DMOGQU4OABkZMGQItG0LmzdDrVrBddOnh/wAkiRJkiTFCMtwSZKKUCQC/frB++8HZTdAv7/exIhjphN94gmiV13F7Kf30bAhTJsWfD5kSFCI9+sXXC9JkiRJko6eZbgkScWgRg2YOjXYBqVxY5i062r6Rmez/+lZVBjYl2++yqZx4+DzqVOD+ZIkSZIkqfDE5WdSVlZWvm+YkJBwxGEkSYp1SUmwcWOwS8ro0ZfzPZV5jt5sOqMnJ699nvjEymFHlCRJkiQpJkWi0YOc3vUT5cqVI/Izv6cdjUaJRCLs37+/0MKFJSsri8TERDIzMy33JUlFplev4IDMsW2W8du3L4aWLWHhQqhWLexokiRJkiSVCgXpcvO1MnzlypWFEkySJP1HgwbB+7etUmDCEujWDTp1gsWL4dhjQ80mSZIkSVKsyVcZ3q5du6LOIUlS2ZacDCtWQOfOcMEFsGQJ1KwZdipJkiRJkmJGvsrwn/rmm2+YPn06mzdvJhKJ0LhxY66++moSExMLO58kSWVH8+awahWkpMD558OyZfCLX4SdSpIkSZKkmFCuoBesX7+eBg0a8Ic//IGMjAy+/vprHn30URo0aMDbb79dFBklSSo7mjSBNWsgKwvatoXPPgs7kSRJkiRJMaHAZfjNN99Mjx49+PTTT5k/fz4LFizgk08+4aKLLmLEiBFFEFGSpDLml7+EtLTgz8nJ8MEH4eaRJEmSJCkGHNHK8DvuuIO4uP/ssBIXF8ftt9/O+vXrCxxg8uTJ1K9fn0qVKtGsWTPSfvyX/4OYP38+KSkp1KxZk4SEBFq1asWSJUvyzHnyySdJTk6mevXqVK9enY4dO/Lmm28WOJckSaGqVy9YIV6tWrBC/H//N+xEkiRJkiSVagUuwxMSEtiyZcsB41u3buWYY44p0L1SU1MZMWIEo0ePZuPGjSQnJ9O1a9eD3h9gzZo1pKSksHjxYjZs2ED79u3p3r07GzduzJ2zatUq+vbty8qVK1m3bh0nn3wynTp14vPPPy/Yg0qSFLZf/AJWr4Y6dYI9xI/gL50lSZIkSVIgEo1GowW54KabbmLBggU8/PDDtG7dmkgkQnp6OrfddhuXXnopEydOzPe9WrRowbnnnsvjjz+eO9aoUSMuueQSJkyYkK97nHnmmfTp04d77rnnoJ/v37+f6tWr8+c//5kBAwbk655ZWVkkJiaSmZlJQkJCvq6RJKmgbrsNHn4Ybr0VHnroMBO/+Qa6doX/+z9YvBiSkooroiRJkiRJJVpButy4w356EA8//DCRSIQBAwawb98+ACpUqMB1113H73//+3zfJzs7mw0bNnDnnXfmGe/UqRNr167N1z1ycnLYtWsXNWrUOOSc7777jr179x52zp49e9izZ0/uz1lZWfn6fkmSjsaAAdCqFZx++s9MPPZYWLYMevSATp3gpZcgJaU4IkqSJEmSFDMKvE1KfHw8kyZN4t///jd///vf2bhxIxkZGfzhD3+gYsWK+b7P119/zf79+6ldu3ae8dq1a7N9+/Z83eORRx5h9+7d9O7d+5Bz7rzzTk488UQ6dux4yDkTJkwgMTEx91W3bt38PYQkSUehSRPo1St4/1nVqsErr0D79nDRRbBwYZHnkyRJkiQplhS4DP/LX/7C7t27qVKlCk2aNOHss8+mSpUqRxwgEonk+TkajR4wdjBz5sxh7NixpKamUqtWrYPOefDBB5kzZw7z58+nUqVKh7zXqFGjyMzMzH1t3bq1YA8hSVJxqFwZFiyA7t2DFn3u3LATSZIkSZJUahS4DL/11lupVasWl19+OS+//HLuVikFdfzxx1O+fPkDVoHv2LHjgNXiP5WamsrgwYN57rnnDrni++GHH2b8+PEsXbqUs88++7D3q1ixIgkJCXlekiSVSPHxQQl+xRXQrx/MmBF2IkmSJEmSSoUCl+Hbtm0jNTWV8uXLc/nll1OnTh2uv/76fO/z/aP4+HiaNWvGsmXL8owvW7aM1q1bH/K6OXPmMGjQIGbPnk23bt0OOuehhx7ivvvu47XXXqN58+YFyiVJUokXFwdPPQVDh8LgwfCnP4WdSJIkSZKkEq/AB2jGxcVx0UUXcdFFF/Hdd9+xYMECZs+eTfv27TnppJP46KOP8n2vkSNH0r9/f5o3b06rVq2YOnUqW7Zs4dprrwWC7Us+//xznn76aSAowgcMGMCkSZNo2bJl7qryypUrk5iYCARbo9x9993Mnj2bevXq5c6pVq0a1apVK+jjSpJUMpUrB5MnB3uJ33QTfPcd3HFH2KkkSZIkSSqxClyG/7cqVarQuXNn/v3vf/PZZ5+xefPmAl3fp08fdu7cyb333su2bds466yzWLx4MaeccgoQrELfsmVL7vwpU6awb98+hg0bxrBhw3LHBw4cyMyZMwGYPHky2dnZXHbZZXm+67e//S1jx449sgeVJKkkikTgwQehalW4807YvRt+97tgXJIkSZIk5RGJRqPRgl7044rwWbNm8frrr1O3bl369u3LFVdcQaNGjYoiZ7HKysoiMTGRzMxM9w+XJJUODz0Et98OI0fCww9biEuSJEmSyoSCdLkFXhnet29fFi1aRJUqVfj1r3/NqlWrDrvHtyRJKga33QZVqsANNwQrxCdPDrZSkSRJkiRJwBGU4ZFIhNTUVDp37kxc3FHtsiJJkgrTsGFBIX7NNcEe4jNmBIdtSpIkSZKkgpfhs2fPLoockiSpMFx1VVCIX3klfP89zJoF8fFhp5IkSZIkKXT+/rQkSbGmTx944QVYuBB69YIffgg7kSRJkiRJobMMlyQpFvXoAYsWwYoV0K0bfPtt2IkkSZIkSQqVZbgkSbGqUydYsoScN9+Czp0hM7NAl2/bVkS5JEmSJEkKgWW4JEkxbOG/k2mX/Trfv72JnAs6wM6dP3tNdjaMGwf16weLyyVJkiRJigX5OkAzKysr3zdMSEg44jCSJKlwLVgA6dnn0ZJVrHgnhUrnnU/VN5bBCSccdH5aGgwdCps3/+f67t2LMbAkSZIkSUUkEo1Goz83qVy5ckQikXzdcP/+/UcdKmxZWVkkJiaSmZlpuS9JKtWiUZgzB0aMgBpfvc9yOhCXUJWK6cs5tknd3HkZGXDHHTBtWvBzrVrwhz9A376Qz/8JIEmSJElSsStIl5uvbVJWrlzJihUrWLFiBTNmzKBWrVrcfvvtLFiwgAULFnD77bdTu3ZtZsyYUSgPIEmSCkckAv36wfvvQ9shDUkmje+y9pLVNJmFf/iIaBRmzYKGDf9ThA8ZEqwM79fPIlySJEmSFDvytTL8v3Xo0IFrrrmGvn375hmfPXs2U6dOZdWqVYWZLxSuDJckxar0dPjt1VuZ/M+OVONbOrCcf9AQgMaNYcoUSEoKOaQkSZIkSflU6CvD/9u6deto3rz5AePNmzfnzTffLOjtJElSMUpKglffq8trd64mgxqsoS1n8w7jx8PGjRbhkiRJkqTYVeAyvG7dujzxxBMHjE+ZMoW6dese5ApJklSSxMfD8Akn8NCFq9jCybxR4XxGdXiT+Piwk0mSJEmSVHTiCnrBH/7wBy699FKWLFlCy5YtAfjrX//KRx99xAsvvFDoASVJUtGo3fg4Oixezjs1L6Rax47w8svQtm3YsSRJkiRJKhIFXhl+4YUX8sEHH9CjRw8yMjLYuXMnF198MR988AEXXnhhUWSUJElFJItEpl62FH71K+jSBZYuDTuSJEmSJElFosArwyHYKmX8+PGFnUWSJIVgb3zVYFX4r38N3bvDc8/BxReHHUuSJEmSpEJV4JXhAGlpaVx55ZW0bt2azz//HIBnnnmG9PT0Qg0nSZKKSeXKMH8+9OgBl14Kc+eGnUiSJEmSpEJV4DL8hRdeoHPnzlSuXJm3336bPXv2ALBr1y5Xi0uSVJrFx8OcOdCvX/B66qmwE0mSJEmSVGgKXIbff//9PPHEEzz55JNUqFAhd7x169a8/fbbhRpOkiQVs7g4mDkThg6Fq6+Gxx4LO5EkSZIkSYWiwHuG/+Mf/6Bt27YHjCckJPDNN98URiZJkhSmcuVg8mSoUgVuuAF274bbbw87lSRJkiRJR6XAZXidOnX48MMPqVevXp7x9PR0Tj311MLKJUmSwhSJwMMPQ9WqcMcdQSE+dmwwLkmSJElSKVTgMnzo0KEMHz6cGTNmEIlE+OKLL1i3bh233nor99xzT1FklCRJRWDAAGjVCk4//RATIhG4996gEL/zzqAQf+ghC3FJkiRJUqlU4DL89ttvJzMzk/bt2/PDDz/Qtm1bKlasyK233soNN9xQFBklSVIRaNIkeP2sO+4Itky56aagEH/ssWArFUmSJEmSSpFINBqNHsmF3333HZs2bSInJ4fGjRtTrVq1ws4WmqysLBITE8nMzCQhISHsOJIklQwzZsA110D//jB9enDYpiRJkiRJISpIl3vE/xZbpUoVmjdvfqSXS5Kk0ubqq6Fy5aAM//57ePZZiI8PO5UkSZIkSfmSrzK8V69ezJw5k4SEBHr16nXYufPnzy+UYJIkqQTq2zcoxPv0gUsvhXnzoFKlsFNJkiRJkvSz8lWGJyYmEvn/h2UlJiYWaSBJklTCXXIJLFwYvHfvDi++GByyKUmSJElSCXbEe4bHMvcMlyQpH1avhosugv/5H3jlFfAvzCVJkiRJxawgXW65YsokSZJiTbt2sGwZ/N//QceOkJERdiJJkiRJkg4pX9uknHPOObnbpPyct99++6gCSZKkUqRlS1i5ElJS4Pzzg3K8du2wU0mSJEmSdIB8leGXXHJJEceQJEmlVtOmsGYNdOgAbdvC8uVw0klhp5IkSZIkKQ/3DD8I9wyXJOkIfPRRUIhHIkEhfuqpYSeSJEmSJMW4gnS5+VoZfjDr169n8+bNRCIRGjVqRLNmzY70VpIkKRY0aJB3hfjrr0PDhmGnkiRJkiQJOIIy/F//+hd9+/bljTfe4NhjjwXgm2++oXXr1syZM4e6desWdkZJkhSibdugTp18Tj755KAQT0lhf1Jbyi9fBv/zP0WaT5IkSZKk/ChX0Auuvvpq9u7dy+bNm8nIyCAjI4PNmzcTjUYZPHhwUWSUJEkhWbgw2O1k/HjIzs7fNdnH1eHRHqt4J6Mu2W3Oh7/9rUgzSpIkSZKUHwXeM7xy5cqsXbuWc845J8/422+/TZs2bfj+++8LNWAY3DNckqTAVVfBzJnBnxs3hilTICnp0PPT0mDoUNi8GRLIZH2tCzn9u3fhlVeCrVMkSZIkSSpEBelyC7wy/OSTT2bv3r0HjO/bt48TTzyxoLeTJEkl2IwZMGsW1KwJmzZBcjIMGQIZGXnnZWQE423bBkV4rVrw+KxETvtoKbRoAV26wJIl4TyEJEmSJEkcQRn+4IMPcuONN7J+/Xp+XFS+fv16hg8fzsMPP1zoASVJUngiEejXD95/Pyi7AaZNg0aNYPZsiEaDsrxhw2AcgnmbNwfXRapVhZdfhgsugB494MUXQ3sWSZIkSVLZVuBtUqpXr853333Hvn37iIsLzt/88c9Vq1bNMzfjp8vGSgm3SZEk6eDS04NtUDZtOvCzw22jsu2zbOrcdiXMnw9PPx005flQoMM7JUmSJEllTkG63LiC3nzixIlHmkuSJJVySUmwcSM8/DCMHv2f8fHj4ZZbID7+wGsWLoQ+feK5Z/Qcbq98DeWvvBK++w6uueaQ35OdDQ89BPfdB/PmQffuRfAwkiRJkqQypcArw8sCV4ZLkvTzevWCBQugZ89gwfeh/PchnGc2ymFpwxv5xYLJMHEiDB9+wPz/PoTzx+tnzCj0+JIkSZKkGFCkK8N/tGPHDnbs2EFOTk6e8bPPPvtIbylJkkqRBg3yvh/KjBmQkgIjRsD/bS7HiZv/zKtnV6PLiBGwezfcdRcQHMJ5xx3/2Xu8Vi34wx+gb98iewRJkiRJUhlS4DJ8w4YNDBw4kM2bN/PTReWRSIT9+/cXWjhJklT6/XgIZ5cucOed8OSTEbq++3smVK3GnaNHE931LbPPHMfNIyN89VVwzZAh8PvfQ40a4WaXJEmSJMWOApfhV111Fb/85S+ZPn06tWvXJhKJFEUuSZIUY2rUgKlTYcAAGDo0wqhNd7ODqjz6+1v4mt18zR9o3LjcIQ/hlCRJkiTpaBS4DP/kk0+YP38+p512WlHkkSRJMS7vIZwj2U1VHuc6zm/2LY3SphJfuXzYESVJkiRJMahcQS/o0KED77zzTlFkkSRJZUR8fLBVeM+eMJWh/LHZ0/zPxpnEX30l7N0bdjxJkiRJUgwq8MrwadOmMXDgQN577z3OOussKlSokOfzHj16FFo4SZIU2348fPPz9lfCqMrBaZnffQepqVCpUrjhJEmSJEkxpcBl+Nq1a0lPT+fVV1894DMP0JQkSUfs0kvhxReD9x49gj9XqRJ2KkmSJElSjCjwNik33XQT/fv3Z9u2beTk5OR5WYRLkqSjcuGFsHgxrF0LXbpAVlbYiSRJkiRJMaLAZfjOnTu5+eabqV27dlHkkSRJpcSAAfDCC8F7oWrfHl5/Hd59Fzp0gIyMQv4CSZIkSVJZVOAyvFevXqxcubIoskiSpFKkSRPo1St4L3QtW8LKlfDpp3D++fDll0XwJZIkSZKksqTAe4b/8pe/ZNSoUaSnp9OkSZMDDtC86aabCi2cJEkqw845B1avho4doW3bYLV43bphp5IkSZIklVIFLsOnTZtGtWrVWL16NatXr87zWSQSsQyXJEmFp3FjSEsLtktJTobly6FBg7BTSZIkSZJKoQKX4Z988klR5JAkSTq4Bg3+U4j/uEK8UaOwU0mSJEmSSpkC7xkuSZJUWPJ9CGfdurBmDdSoAe3awd//XhzxJEmSJEkxJBKNRqM/N2nkyJHcd999VK1alZEjRx527qOPPlpo4cKSlZVFYmIimZmZJCQkhB1HkiT9aOdO6NIFPvwQXn01OGhTkiRJklRmFaTLzdc2KRs3bmTv3r25fz6USCRSgJiSJEkFdNxxwTYpF10EKSmwaBGcf37YqSRJkiRJpUC+VoaXNa4MlySphNu9G3r2DPYSX7AgWC0uSZIkSSpzCtLlume4JEkqfapWhYULoVMn6NEjKMQlSZIkSToMy3BJklQ6VaoEzz8PvXrBr38Nzz4bdiJJkiRJUgmWrz3DJUmSSqQKFWDWLKhSBQYMgO++g9/8JuxUkiRJkqQSyDJckiSVbuXLw7RpUK0aDB0a7Cd+881hp5IkSZIklTCW4ZIkqfQrVw4mTQr2Eh85MijER4+GSCTsZJIkSZKkEsIyXJIkxYZIBCZMCFaIjxkD334b/GwhLkmSJEnCMlySJMWa0aODFeI33xysEJ80KVg5LkmSJEkq0yzDJUlS7BkxIijEf9xD/Mkng73FJUmSJElllmW4JEmKTUOGQJUqMHAgfPcdPPMMVKgQdipJkiRJUkj8nWFJkhS7rrgC5s2DBQvg0kvhhx/CTiRJkiRJColluCRJim09e8LChfD669CtW3CwpiRJkiSpzLEMlyRJsa9zZ1iyBN56C1JS4N//DjuRJEmSJKmYWYZLkqSyITkZVqyAf/4T2reHHTvCTiRJkiRJKkaW4ZIkqexo3hxWrw6K8ORk2Lo17ESSJEmSpGJiGS5JksqWM8+EtDTIzoakJPjww7ATSZIkSZKKgWW4JEmKadu2HWSwQYOgEK9SJVgh/t57+btOkiRJklRqWYZLkqSYtXAhnHoqjB8fLATP46STgi1TTjgB2rULDtckmDduHNSvD4sWFX9mSZIkSVLRsAyXJEkxa8EC+OEHGD0azjkH0tN/MqFWLVi5Eho2hAsu4N0/raZpUxgzBvbsCa6XJEmSJMUGy3BJkhSzZsyAWbOgZk3YtCnYEWXIEMjI+K9Jxx5LxtylbEpoyek3daHe5sXUqhVcN316aNElSZIkSYXMMlySJMWsSAT69YP33w9KcIBp06BRI5g9G6LRoPRu2Kwq536xiCV0ZlHkYj78/Tz69QuulyRJkiTFhtDL8MmTJ1O/fn0qVapEs2bNSEtLO+Tc+fPnk5KSQs2aNUlISKBVq1YsWbLkgHkvvPACjRs3pmLFijRu3JgF/o6zJEllWo0aMHVqcGZm48awYwdccQWUKwdXXglffQUNGlei5sp5lO/Xh2OuuTxYVi5JkiRJihmhluGpqamMGDGC0aNHs3HjRpKTk+natStbtmw56Pw1a9aQkpLC4sWL2bBhA+3bt6d79+5s3Lgxd866devo06cP/fv355133qF///707t2bv/3tb8X1WJIkqYRKSoKNG4MDMv/b+PHBeJvzK8DTT8NvfgODB8OkSeEElSRJkiQVukg0Go2G9eUtWrTg3HPP5fHHH88da9SoEZdccgkTJkzI1z3OPPNM+vTpwz333ANAnz59yMrK4tVXX82d06VLF6pXr86cOXMOeo89e/awZ8+e3J+zsrKoW7cumZmZJCQkHMmjSZKkEq5Xr+CAzJ49Yf78n3wYjcKdd8KDD8K99wYnarpniiRJkiSVOFlZWSQmJuaryw1tZXh2djYbNmygU6dOecY7derE2rVr83WPnJwcdu3aRY0aNXLH1q1bd8A9O3fufNh7TpgwgcTExNxX3bp1C/AkkiSpNGrQIO97HpEI/P73wRLye+6B228PCnJJkiRJUqkVWhn+9ddfs3//fmrXrp1nvHbt2mzfvj1f93jkkUfYvXs3vXv3zh3bvn17ge85atQoMjMzc19bt24twJNIkqSYFInAXXfBH/8IDz8M114L+/eHnUqSJEmSdITiwg4Q+cmvHEej0QPGDmbOnDmMHTuWl156iVq1ah3VPStWrEjFihULkFqSJJUZN94IxxwT7CG+axf85S9QoULYqSRJkiRJBRRaGX788cdTvnz5A1Zs79ix44CV3T+VmprK4MGDmTdvHh07dszz2QknnHBE95QkSTqkQYOgWjXo1w++/Raeew4qVQo7lSRJkiSpAELbJiU+Pp5mzZqxbNmyPOPLli2jdevWh7xuzpw5DBo0iNmzZ9OtW7cDPm/VqtUB91y6dOlh7ylJkvSzLrsMFi6E11+Hbt2CUlySJEmSVGqEuk3KyJEj6d+/P82bN6dVq1ZMnTqVLVu2cO211wLBXt6ff/45Tz/9NBAU4QMGDGDSpEm0bNkydwV45cqVSUxMBGD48OG0bduWBx54gIsvvpiXXnqJ119/nfT09HAeUpIkxY4uXWDJkqAMT0mBxYuhevWwU0mSJEmS8iG0leEAffr0YeLEidx77700bdqUNWvWsHjxYk455RQAtm3bxpYtW3LnT5kyhX379jFs2DDq1KmT+xo+fHjunNatWzN37lyeeuopzj77bGbOnElqaiotWrQo9ueTJEkxKDkZVqyAf/4T2reHHTvCTiRJkiRJyodINBqNhh2ipMnKyiIxMZHMzEwSEhLCjiNJkorAbbfBww/DrbfCQw8dwQ3+7/+C1eHHHBNsnVK3bqFnlCRJkiQdXkG63FBXhkuSJIVlwAB44YXg/YiceSakpUF2NiQlwYcfFmo+SZIkSVLhsgyXJEllUpMm0KtX8H7EGjQICvEqVYLtU957r9DySZIkSZIKl2W4JEnS0TjpJFi9Gk44Adq1g7feCjuRJEmSJOkgLMMlSZKOVq1asHIlNGwIF1wQlOOSJEmSpBLFMlySJKkwHHssLF0KLVtCly6weDEA27Yd2e2O9DpJkiRJ0sFZhkuSJBWWqlVh0SLo3Bkuvpi37pjHqafC+PHBOZv5kZ0N48ZB/frBrSRJkiRJhcMyXJIkqTBVqgTz5kGfPjR76HL6/jCD0aPhnHMgPf3wl6alQdOmMGYM7NkDCxYUS2JJkiRJKhMswyVJkgpbhQrw9NNEfvMbZjCYu6pOYtMmSE6GIUMgIyPv9IyMYLxtW9i8OdiCfNYsmD49nPiSJEmSFIsswyVJkopCuXJEHp8Mt9/OuN0jWNDsfiDKtGnQqBHMng3RaFB6N2wI06YFlw0ZEhTi/fpBJBLqE0iSJElSTIlEo9Fo2CFKmqysLBITE8nMzCQhISHsOJIkqTSLRmHCBBg9mn9dfiud33mQTZsPbLkbN4YpUyApKYSMkiRJklRKFaTLdWW4JElSUYpE4K674I9/5KS5D/Num+sYf9/+PFPGj4eNGy3CJUmSJKkoWYZLkiQVhxtvhKeeovyMJxm1eQCXXbwXgJ49YdQoiI8POZ8kSZIkxbi4sANIkiSVGYMGQbVq0K8fY0/+lkWk0qBBpbBTSZIkSVKZ4MpwSZKk4nTZZfDSS/zys6W8QjcqZu8KO5EkSZIklQmW4ZIkScWta1eevGwpzVnPb57rCDt3hp1IkiRJkmKeZbgkSVIIPjkpmfaspEbmJ9CuHXzxRdiRJEmSJCmmWYZLkiSFZCPnMrlvGmRlQZs28NFHYUeSJEmSpJhlGS5JkhSir2qcAenpEB8PSUnw7rthR5IkSZKkmGQZLkmSFLaTT4a0NKhTJ9gyZd26sBNJkiRJUsyxDJckSSoJatWClSuhSRPo2BGWLQs7kSRJkiTFFMtwSZKkEAwYAC+8ELznSkyE116D88+Hbt2CCZIkSZKkQmEZLkmSFIImTaBXr+A9jypV4MUX4bLLoHdvmDEjjHiSJEmSFHPiwg4gSZKkn6hQAZ55JlgpPngw/PvfcMstYaeSJEmSpFLNMlySJKkkKl8eJk+GGjXg1lshIwPuvx8ikbCTSZIkSVKpZBkuSZJUUkUiMG4cVK8Ot90G33wDf/oTlHOnO0mSJEkqKMtwSZKkku7WW+HYY2Ho0KAQnzkz2EpFkiRJkpRvluGSJEmlwTXXBIV4v36QmQnPPRcctilJkiRJyhd/x1aSJKm0uOwyWLQIVq6ELl2CUlySJEmSlC+W4ZIkSaVJ586wbBn87//CBRfAV1+FnUiSJEmSSgXLcEmSpNKmdWtYvRo+/xySk2HLlrATSZIkSVKJZxkuSZJUGp19NqSnw549kJQE779/wJRt247s1kd6nSRJkiSVZJbhkiRJpdVppwWFeEJCUIi/9VbuRwsXwqmnwvjxkJ2dv9tlZ8O4cVC/frA1uSRJkiTFEstwSZKk0uzEE2HNGjj99GAP8ddfB2DBAvjhBxg9Gs45J+jMDyctDZo2hTFjgsXmCxYUfXRJkiRJKk6W4ZIkSaVdjRpBCZ6UBN26wfPPM2MGzJoFNWvCpk3B1uJDhkBGRt5LMzKC8bZtYfNmqFUruG769HAeRZIkSZKKimW4JElSLKhaFV56CXr1gt69iTw5lX79gq3EhwwJpkybBo0awezZEI0GpXfDhsE4BPM2b4Z+/SASCe9RJEmSJKkoRKLRaDTsECVNVlYWiYmJZGZmkpCQEHYcSZKk/MvJgZtugsceCzYMv/NOiERIT4ehQ4NV4j/VuDFMmRIsLJckSZKk0qQgXa4rwyVJkmJJuXLwpz/Bb38Ld90Ft9wCOTkkJcHGjcEBmf9t/Phg3CJckiRJUqyLCzuAJEmSClkkAmPHwvHHB6vEd+6EadOIj6/AXXfB+vXBAZk9e8KoUWGHlSRJkqTiYRkuSZIUq264AY47DgYMCE7KfO45qFyZBg2Cj398lyRJkqSywG1SJEmSYlnfvrBoESxfDp07wzffhJ1IkiRJkkJhGS5JkhTrunQJyvD33oPzz+eY3dvDTiRJkiRJxc4yXJIkqSxo1QrWrIEdO7h+ThL1+TjsRJIkSZJUrCzDJUmSyoqzzoI33iBKhDdoQ52v3g07kSRJkiQVG8twSZKksqR+fSb3TWc7J3Dd3LaQnh52IkmSJEkqFpbhkiRJZcy3VWtzPqv4omZT6NQJXnkl7EiSJEmSVOQswyVJksqgLBKZdtlrQRl+8cXw7LNhR5IkSZKkIhUXdgBJkiQVrwEDgvM0Tz+9EjR6HoYMgf794euvYcSIsONJkiRJUpGwDJckSSpjmjQJXoE4mDEDjj8ebr4Ztm2DCROgnL9AKEmSJCm2WIZLkiSVdZEIPPQQ/OIXMHIkfPEFTJ8O8fFhJ5MkSZKkQmMZLkmSpMDNN0OdOsE+Kjt2wPPPwzHHhJ1KkiRJkgqFv/8qSZKk/7j8cnj1VVi3Dtq3hy+/DDuRJEmSJBUKy3BJkiTl1aEDrF4N//oXtGkDH30UdiJJkiRJOmqW4ZIkSTrQOecEq8PLlYPWrWHDhrATSZIkSdJRsQyXJEnSwdWvD2+8AfXqQbt2sHRp2IkkSZIk6YhZhkuSJOnQataEFSuCMrxbN3j22bATSZIkSdIRsQyXJEnS4VWtCi++CFdeCf37w0MPQTQadipJkiRJKpC4sANIkiSpFKhQAWbMgBNPhNtvhy++gEceCfYUlyRJkqRSwDJckiRJ+ROJwP33Q506cOONsG0b/OUvULFi2MkkSZIk6We5lEeSJEkFM2wYzJsXbJ1y4YWQlRV2IkmSJEn6WZbhkiRJKrhLL4WlS2HDBmjbNlglLkmSJEklmGW4JEmSjkzbtpCWBl9/Da1bwz/+EXYiSZIkSToky3BJkiQduSZNYO1aqFwZ2rSBv/3tiBeJu7hckiRJUlGyDJckSdLROflkSE+Hhg3Z17Y915/yCuPHQ3Z2/i7PzoZx46B+fVi0qGijSpIkSSq7LMMlSZJ09GrUgGXLeLd2J+btvZgPR8/gnHOCjvxw0tKgaVMYMwb27IEFC4olrSRJkqQyyDJckiRJhaNyZc756Hk+uWAwMxjMJZvGkZwc/X/t3XmcTnX/x/HXNcMgyyBLlOxrhFSSQRvtirtFttaJ7u6KNkm6q/tH2120qYS6u0PddyhKdauo0aIsU8rYilRGlLJUZizn98fJMAyZMTPXLK/n43Ee11znnO85nzPjUO/rO59DYiKsX5951/XrITExbDuekgLVqsH48TB2bHRKlyRJklT0GYZLkiQp10RKlqDh20/x2213M4w7eJy/MW7Mdpo2hQkTIAjC0LtJExgzJhyTmBgG4j17wpo1OTuv/cYlSZIk/RnDcEmSJOWuSIRD7r0TnnmGv8Y8xZvlL2LD2i306gUxMdC7N6xbB82ahW1SRo8Ou6xMnQr16mG/cUmSJEl5wjBckiRJeeOqq4hMmcJpW6eztM7pVOTnjE3Dh8OCBZCQsGv3KVNgyxYYMgT7jUuSJEnKdYbhkiRJyjtduxJ55x2O3PgFn5XvwOF8R7duMHgwxMVl3nXcuLCFStWqsGgRdOiA/cYlSZIk5RrDcEmSJOWtE0+E2bMpzyY+oh3t4hdluVskEvYNX7w4DLsh7Ct+oP3GI5F8uh5JkiRJhVIkCIIg2kUUNBs3biQ+Pp4NGzZQoUKFaJcjSZJUJPzjmtWc99QZNCj9HYe8PQ3at9/v/rNnQ79+4SzxPTVrBk8/nbnNiiRJkqTiJztZrjPDJUmSlC82lqtJR94ntcrRcNpp8Mor+90/ISHsKz5sWOb1WfUblyRJkqQ/YxguSZKkfLOBioy54E045xz4y1/C6d37ERcHt98O3bqF7/fVb1ySJEmS/oxhuCRJkvLVthKl4cUX4dproX9/uOuusCH4ftSvn/lVkiRJkrKrRLQLkCRJUjEUGwuPPAKHHw633QarV8OoUVDC/zyVJEmSlDf8vw1JkiRFRyQCgwbBYYfBlVfCmjXhjPFDDol2ZZIkSZKKINukSJIkKbouvRSmTYN33gkfrPnTT9GuSJIkSVIRFPUwfNSoUdStW5fSpUvTpk0bkpKS9rlvamoqPXv2pHHjxsTExDBgwIAs9xs5ciSNGzemTJky1KpVi4EDB7Jly5Y8ugJJkiQdiL59YdKk8HUvZ54Js2bB8uWQkADffJPf5UmSJEkq4qIahr/00ksMGDCAIUOGsGDBAjp06MCZZ57JqlWrstw/LS2NqlWrMmTIEFq2bJnlPuPHj+e2227j73//OykpKYwdO5aXXnqJwYMH5+WlSJIk6U+0aAHdu4evWTruOPjgA0hLgxNPhOTk/CxPkiRJUhEX1TD84Ycf5sorr+Sqq66iadOmjBw5klq1avHkk09muX+dOnV45JFH6Nu3L/Hx8Vnu89FHH9G+fXt69uxJnTp16NKlC5dccglz587Ny0uRJElSbmjYED76CGrUCGeIv/56tCuSJEmSVERELQxPT09n3rx5dOnSJdP6Ll268OGHH+b4uAkJCcybN49PPvkEgK+//prp06dz9tln73NMWloaGzduzLRIkiQpSqpXh/feg86doWtXePzxaFckSZIkqQgoEa0T//jjj2zfvp3q1atnWl+9enXWrFmT4+P26NGDdevWkZCQQBAEbNu2jWuuuYbbbrttn2Puvfde7r777hyfU5IkSbmsbFl4+WUYNAiuu45BvZbT7j8P0bBJbLQrkyRJklRIRf0BmpFIJNP7IAj2Wpcds2bNYtiwYYwaNYr58+czefJkXnvtNf7xj3/sc8zgwYPZsGFDxvLtt9/m+PySJEnKJbGx8M9/wqhRVHnxcbr/uxst6m6OdlWSJEmSCqmozQyvUqUKsbGxe80CX7t27V6zxbNj6NCh9OnTh6uuugqAFi1a8Ouvv3L11VczZMgQYmL2zv9LlSpFqVKlcnxOSZIk5aFrroG6deGii6BjR3jtNahZc6/dUlPDVuPZldNxkiRJkgqXqM0Mj4uLo02bNsyYMSPT+hkzZnDiiSfm+Li//fbbXoF3bGwsQRAQBEGOjytJkqQoOuMMmD0b1q2Dtm3hs88ybZ46FerVg+HDIT39wA6Zng7DhoU5+7RpeVCzJEmSpAIlqm1SbrzxRsaMGcO4ceNISUlh4MCBrFq1iv79+wNh+5K+fftmGpOcnExycjKbN29m3bp1JCcns2jRoozt5557Lk8++SQvvvgiK1asYMaMGQwdOpSuXbsSG2uPSUmSpELr6KNhzhyoVg0SEmD69IxNU6bAli0wZAi0bh3m5vuTlAStWsEdd0BaWjhekiRJUtEWCaI8XXrUqFE88MADpKam0rx5c0aMGEHHjh0BuOyyy1i5ciWzZs3K2D+rfuK1a9dm5cqVAGzbto1hw4bx73//m++//56qVaty7rnnMmzYMCpWrHhANW3cuJH4+Hg2bNhAhQoVDvYSJUmSlJt+/RV69Qqncz/2GPz1rwQBTJwIAwaEk8cBrroK7r8fKlfeNXT9+vCZnGPGhO+rVYMRI+CSS+AgHlsjSZIkKUqyk+VGPQwviAzDJUmSCrjt2+GWW8Ike8CA8EGbsbGsXw+33QbPPBPutnvYPWECDBy4KyxPTIT77ssclkuSJEkqXAzDD5JhuCRJUiExahRcdx2cc06YdpctC4RtUvr1g9266WVo1gyefjrstCJJkiSpcMtOlhvVnuGSJEnSQfnrX8N2Ke++Cx07wurVQBh0L1gQPiBzd8OHh+sNwiVJkqTixzBckiRJhdtZZ4VTwdeuhbZt4fPPAYiLg9tvh27dwt26dYPBg8P1kiRJkoofw3BJkiQVfi1bwpw5ULUqtG8Pb76Zsal+/cyvkiRJkoonw3BJkiQVDTVrwvvvw8knhz3En3wy2hVJkiRJKkBKRLsASZIkKdeUKwdTpsBNN4X9xJcvJ8IDQGy0K5MkSZIUZYbhkiRJKlpiY2HkSGjQAG64gb71vuIJxgNlo12ZJEmSpCiyTYokSZKKpr/9DaZOpeE3b/MenSi/OTXaFUmSJEmKIsNwSZIkFV1nn82oS2ZzGGu4bnxbWLgw2hVJkiRJihLDcEmSJBVpq6u1oi1z+K3ModC+Pbz1VrRLkiRJkhQFhuGSJEkq8lZzOKN6JEHHjnD22fDUU9EuSZIkSVI+8wGakiRJKtL69oV27aBhw3LQ7FW48Ua45hpYvhweeABinB8iSZIkFQeG4ZIkSSrSWrQIl1AsPPII1K8PAwfC11/DCy/AIYdEs0RJkiRJ+cBpMJIkSSp+rr8eXn0V/vc/OOkkWLMm2hVJkiRJymOG4ZIkSSqezjkHkpLg+++hbVv44otoVyRJkiQpDxmGS5Ikqfhq3RrmzIFKlaB9+3CmuCRJkqQiyTBckiRJxdsRR4QzxDt0gLPOgtGjo12RJEmSpDxgGC5JkiSVLw+vvALXXAP9+sGtt8KOHdGuSpIkSVIuKhHtAiRJkqQCoUQJeOwxaNgQBgyAr7+G55+HQw6JdmWSJEmScoEzwyVJkqTdXX99OEv8jTfg5JNhzZpoVyRJkiQpFxiGS5IkSXvq2jXsI/7tt3DCCbBwYbQrkiRJknSQDMMlSZKkrBxzDMyZA5UqQbt24WxxSZIkSYWWYbgkSZK0L7VqwezZcOaZ0K0b/N//QRBEuypJkiRJOWAYLkmSJO1P2bLw0ktw990wdCj06AG//RbtqiRJkiRlk2G4JEmS9GdiYuDOO2HSJHjtNUhICPuJA6mpOTtkTsdJkiRJyhnDcEmSJOlAde8OH34I69fDcceRdP+H1KsHw4dDevqBHSI9HYYNg7p1Ydq0vC1XkiRJ0i6G4ZIkSVJ2tGwJn3wCjRpxwu0n02PLswwZAq1bh+3F9ycpCVq1gjvugLQ0mDIlXyqWJEmShGG4JEmSlH3VqsHbb1Piikt5lit4ssyNLFm0jQ4dIDExnDi+u/Xrw/UdO0JKSjh8/HgYOzY65UuSJEnFkWG4JEmSlBNxcURGPw2PPUa/9Ef57PCzqcjPjBkDTZvChAkQBGHo3aQJjBkTDktMDAPxnj0hEonuJUiSJEnFSSQIgiDaRRQ0GzduJD4+ng0bNlChQoVolyNJkqSC7p134MIL+a1cVS6Mm8r0rxrvtUuzZvD00+GzNyVJkiTljuxkuc4MlyRJkg7WqafCJ59wSLlYXvuxLRP7vpFp8/DhsGCBQbgkSZIUTYbhkiRJUm5o0AA+/phIQgI9XjiHZ5s/BAR06waDB0NcXLQLlCRJkoo3w3BJkiQpt1SoAK++CrfcwmVf3MyzXE7j2luiXZUkSZIkDMMlSZKk3BUbC/fdx4SzXqAHL9L/pZMhNTXaVUmSJEnFnmG4JEmSlAcWNOtFB5KouPEbOO44mDs32iVJkiRJxZphuCRJkpRH5nIcj/aZC4cfHj4989lno12SJEmSVGwZhkuSJEl5aGO5mvDee9C7N1xxBVx7LaSnR7ssSZIkqdgxDJckSZLyWunS8Mwz8NRT4espp9hHXJIkScpnhuGSJElSfohEoF+/cJb4ihXQpg18+GG0q5IkSZKKDcNwSZIkKT+1awfz5kH9+nDSSfDkkxAE0a5KkiRJKvJKRLsASZIkqSjq2zfMvRs2zGLjYYfBO+/ATTfBX/8Kn34Ko0aF7VQkSZIk5QnDcEmSJCkPtGgRLvsUFwePPQbHHgv9+8PChTBpEhx5ZL7VKEmSJBUntkmRJEmSounSS+GDD2Dt2rCP+MyZ0a5IkiRJKpIMwyVJkqRoO+aYsI94y5bQuTM8/LB9xCVJkqRcZhguSZIkFQRVqsCbb8KNN4a9xHv1gl9/jXZVkiRJUpFhGC5JkiQVFCVKwAMPwIsvwquvwoknwldfRbsqSZIkqUgwDJckSZIKmosvhjlzwpnhxx4bzhiXJEmSdFAMwyVJkqSCqHlzmDs3nB1+1lkwfLh9xCVJkqSDYBguSZIkFVQVK8K0aTB0KAwZAt27wy+/kJqas8PldJwkSZJUFBiGS5IkSQVZTAzcfXfYQ3zmTH5t2oZudRYwfDikpx/YIdLTYdgwqFs3zNYlSZKk4sgwXJIkSSoMunaF+fP5MT2eWentWDlkNK1bBcyevf9hSUnQqhXccQekpcGUKflSrSRJklTgGIZLkiRJhUW9ehz53Yd8e8pljKYfg1Iu5fQOv5KYCOvXZ951/XpITISOHSElBapVg/HjYezY6JQuSZIkRZthuCRJklSIRMqUpuE7T7H5qRe4uMQk5tCWpDGLadoUJkwIn7E5fjw0aQJjxoRjEhPDQLxnT4hEolu/JEmSFC2G4ZIkSVIhVK5fL0p99in1au9gfuRYTlk7kV69whbjvXvDunXQrFnYJmX0aKhcOecP0PTBm5IkSSoKDMMlSZKkwqpZMw754hNKXXweE+nJE/yVONIAGD4cFiyAhIRw16lToV49fPCmJEmSii3DcEmSJKkwK1eO2AkvwJNPkhgzltkkcHWXlQweDHFxu3abMgW2bIEhQ6B1a3zwpiRJkoodw3BJkiSpsItEoH9/nuj5IYfyEyPea73XVO5x48Je4lWrwqJF0KEDPnhTkiRJxYphuCRJklREfH9YG9owjxVHdISuXWHQINi2DQjz8p49YfHiMOyG8AGbPnhTkiRJxYVhuCRJklSE/EIlnjv/FXjgAXjoITjlFFi9OmN75crhAzWTksIHbK5dy58+eFOSJEkqCgzDJUmSpKImEoFbboGZM+Grr8Im4e++m2mXhITwAZvDhmUeuueDNyVJkqSiwjBckiRJKqo6dAiT7RYtoHNn+L//gx07MjbHxcHtt0O3buH7bt3Y68GbkiRJUlFhGC5JkiQVZdWqwVtvwZAhcOedcPbZYW+U3dSvn/lVkiRJKooMwyVJkqSiLjYW7rkH3ngD5s2Dli3h7bejXZUkSZKUrwzDJUmSpOLi9NPhs8+geXPo0iXsibJ1a7SrkiRJkvJFiWgXIEmSJCl39O0L7dpBw4b72alGjbBtyoMPwh13wMyZVGoxEaibX2VKkiRJUWEYLkmSJBURLVqEy5+KiYFBg6BTJ7jkEgYuaMVnjAYuzusSJUmSpKixTYokSZJUXJ1wAiQns6TumbxEDy546yr49ddoVyVJkiTlCcNwSZIkqTiLj2f8ORO5grG0TpkIxx4b9hWXJEmSihjDcEmSJKm4i0R4lit4pM9cKFUK2raFxx+HIIh2ZZIkSVKuMQyXJEmSirm+fWHSJDhjYFP4+GO4+mq47jo4/3z46adolydJkiTlCsNwSZIkqZhr0QK6d//j4ZulS8Ojj8LUqfDBB9CyJbz3HqmpOTt2TsdJkiRJuc0wXJIkSdLezj037B3eoAHBySfzbK07ufcf20hPP7Dh6ekwbBjUqQPTpmX/9IbokiRJym2G4ZIkSZKydvjh8M47TGl1N4O2D6PDnSdxVvNVzJ69/2FJSdCqFdxxRxiK33UX2Q7R69bNWYguSZIk7YthuCRJkqR9i42l27yhvHPn+9SO+Zb/LmvJwx0mk5gI69dn3nX9ekhMhI4dISUl7LgCMH8+tG5NtkL0tDSYMiVPrkiSJEnFlGG4JEmSpP2KRKDL3e0ptyyZFXVOYTJ/od2YKziu8UYmTIAggPHjoUkTGDMmHJOYCN99F66vWhUWLYIOHTigEL1atXDc2LH5f62SJEkquiJBEATRLqKg2bhxI/Hx8WzYsIEKFSpEuxxJkiSp4AgClt3+LDUfuIG1O6pwKf8iiY4Zm5s1g6efhoSEXUPWr4fbboNnngnfV6sGI0bAJZfAhAkwcCCsWxduS0yE++6DypXz8ZokSZJUaGUnyzUMz4JhuCRJkrR/6UtW8MPpfTn8mw94kFu4k3u4a3gpbroJ4uKyHjN7NvTrF84S31NWIbokSZL0Z7KT5Ua9TcqoUaOoW7cupUuXpk2bNiQlJe1z39TUVHr27Enjxo2JiYlhwIABWe73yy+/cO2111KjRg1Kly5N06ZNmT59eh5dgSRJklT8xDWuS62vZvHCUfcxkBEsqXA8g8/+fJ9BOIRB94IF4QMydzd8eLjeIFySJEl5Kaph+EsvvcSAAQMYMmQICxYsoEOHDpx55pmsWrUqy/3T0tKoWrUqQ4YMoWXLllnuk56eTufOnVm5ciUvv/wyS5Ys4ZlnnuHwww/Py0uRJEmSip/YWBaeeSvH8Sml4nbAccfBgw/C9u37HBIXB7ffDt26he+7dYPBg/c9m1ySJEnKLVENwx9++GGuvPJKrrrqKpo2bcrIkSOpVasWTz75ZJb716lTh0ceeYS+ffsSHx+f5T7jxo1j/fr1vPLKK7Rv357atWuTkJCwz/BckiRJ0sH5nJY82vtTuP56GDQITjkFVq7c75j69TO/SpIkSXktamF4eno68+bNo0uXLpnWd+nShQ8//DDHx506dSrt2rXj2muvpXr16jRv3pzhw4ezfT+zU9LS0ti4cWOmRZIkSdKB21aidDgrfObMMAg/+mh47jnwEUWSJEkqIKIWhv/4449s376d6tWrZ1pfvXp11qxZk+Pjfv3117z88sts376d6dOnc8cdd/DQQw8xbM/GhLu59957iY+Pz1hq1aqV4/NLkiRJxVqnTvD559C9O1x+OfzlL7BuXbSrkiRJkqL/AM1IJJLpfRAEe63Ljh07dlCtWjVGjx5NmzZt6NGjB0OGDNln6xWAwYMHs2HDhozl22+/zfH5JUmSpGIvPj6cFT5pErz/PrRoAa+/Hu2qJEmSVMxFLQyvUqUKsbGxe80CX7t27V6zxbOjRo0aNGrUiNjY2Ix1TZs2Zc2aNaSnp2c5plSpUlSoUCHTIkmSJOkgde8OX3wBbdrAOedAv36weXO0q5IkSVIxFbUwPC4ujjZt2jBjxoxM62fMmMGJJ56Y4+O2b9+e5cuXs2PHjox1S5cupUaNGsT5iHpJkiQpfx12GLz2Gjz9NLzwArRqBR99FO2qJEmSVAxFtU3KjTfeyJgxYxg3bhwpKSkMHDiQVatW0b9/fyBsX9K3b99MY5KTk0lOTmbz5s2sW7eO5ORkFi1alLH9mmuu4aeffuKGG25g6dKlvP766wwfPpxrr702X69NkiRJ0h8iEbj6avjsM6haFRISOCNpCHGkRbsySZIkFSMlonnyiy++mJ9++ol77rmH1NRUmjdvzvTp06lduzYAqamprFq1KtOY1q1bZ3w9b948JkyYQO3atVm5ciUAtWrV4n//+x8DBw7k6KOP5vDDD+eGG25g0KBB+XZdkiRJUnHRty+0awcNGx7Azg0aQFIS3H8/ne68m/m8wjupzwLH53WZkiRJEpEgCIJoF1HQbNy4kfj4eDZs2GD/cEmSJCkPLJ20kKqDrqDiivlEbroJ7r4bypSJdlmSJEkqZLKT5Ua1TYokSZKk4qnRX1pQafFHRO69Fx59FFq2hNmzo12WJEmSijDDcEmSJEnRUaIE3Hrrrl7iHTvC9dfD5s3RrkySJElFkGG4JEmSpOhq3Bjefx9GjoSxY6FFC3jnnWhXJUmSpCLGMFySJElS9MXGhrPCP/8c6tSB006Dq6+GDRuydZjU1LwpT5IkSYWfYbgkSZKkgqN+fabe8A5/K/EUac+/SHDUUfD66386LD0dhg2DunVh2rR8qFOSJEmFjmG4JEmSpAJlyqsxPLGtHw3TvuCDX5rDOedA376wfn2W+yclQatWcMcdkJYGU6bkb72SJEkqHAzDJUmSJBUo48bB+PGwpeqRdPj1DS7lOX59aRo7mjbLlHSvXw+JieFzN1NSoFq1cNzYsVEsXpIkSQWWYbgkSZKkAiUSgZ49YfFiSEyM8DyX0jD9S/73S1vo3p3g4ot5edRamjSBMWPCMYmJYSDes2c4XpIkSdqTYbgkSZKkAqlyZRg9OmyDUqlZTc5Mf4UeTOSn/7zDSdc2o/O68TRrGpCUFO5XuXK0K5YkSVJBZhguSZIkqUBLSIAFC2DYsAgv0YNmLOJtTmM8vVl4WGcSqi2NdomSJEkqBAzDJUmSJBV4cXFw++3QrRusoxr/6fYiTJ9OzMqvoUULuPtu2LKF1NScHT+n4yRJklR4GIZLkiRJKjTq19/t9cwz4Ysv4OabYdgwNtc/mitrv83w4ZCefmDHS0+HYcOgbl2YNi3PypYkSVIBYBguSZIkqfA65JAwzU5O5rvtNZi+tTO1h/TitBY/MHv2/ocmJUGrVnDHHZCWBlOm5EvFkiRJihLDcEmSJEmFX7NmNF49i4/6PccZkbeYurQxL3R4iquv2sH69Zl3Xb8eEhOhY0dISYFq1WD8eBg7NjqlS5IkKX8YhkuSJEkqEiIxEdo9dSkxS5ewsPEFPMU1XDH2RC5okMyECRAEYejdpAmMGROOSUwMA/GePSESiW79kiRJyluG4ZIkSZKKlEoNDqXD4jF8/kQSh5bazIyf27Cm141UiNlE796wbh00axa2SRk9GipXjnbFkiRJyg+G4ZIkSZKKpKP/mkDtH+fz3unD6c9TLKIZ5zOF4cMCFiyAhIRoVyhJkqT8ZBguSZIkqciKKxfHKW8OYmCXRXxGS6bQncEfdSUu9ZtolyZJkqR8ZhguSZIkqcircHQdzmUa/+o6CRYsCPukPPAAbN0KQGpqzo6b03GSJEnKf4bhkiRJkgqNvn1h0qTwNfsifNGoe/jEzH79YPBgOPpoPrrrTerVg+HDIT39wI6Ung7DhkHdujBtWk5qkSRJUn4zDJckSZJUaLRoAd27h685Vr48PPwwzJ8P1avT7u4z+e+Wc3huyFJat4bZs/c/PCkJWrWCO+6AtDSYMuUgapEkSVK+MQyXJEmSVDy1bAkzZxL857+cVOULvqA5ly+6mbM7bCAxEdavz7z7+vWQmAgdO4aTy6tVg/HjYezY6JQvSZKk7DEMlyRJklR8RSJELryAcqtS2Db4Tq4r8SRLacSOMWM5qsl2JkyAIAhD7yZNYMyYcFhiYhiI9+wJkUh0L0GSJEkHxjBckiRJksqU4ZDhd1BqxRIinTszlqt4bd3xjOo1m5gY6N0b1q0Ln7uZlASjR0PlytEuWpIkSdlhGC5JkiRJOx1xBNX+9wJbZ31AjcNjmE0HJnAJR/Atw4fDggWQkBDtIiVJkpQThuGSJEmStIeSnU6k5qo5PHbMs5zMTJbHNmbw1nuI2/ZbtEuTJElSDhmGS5IkSSry+vaFSZPC1wMWE8OqUy6jEUv58Jjr4P/+D5o2hf/8J2wkLkmSpELFMFySJElSkdeiBXTvHr5m1yYqML3T/fDll9CqFVx8MXTqFPZMkSRJUqFhGC5JkiRJB6JhQ3j1VXjrLfjxR2jTBhIT4bvvol2ZJEmSDoBhuCRJkiRlR5cu8NlnMHIkTJkCDRrAwIGwdm20K5MkSdJ+GIZLkiRJUnaVLAnXX8+aD7+G22+HceOgXj0YMgR+/vlPhycn5+y0qak5GydJkiTDcEmSJEnKkalToW7LCgwvcSfpS1bAddeFs8Xr1g0ftrlp015j0tOhd29o3Rr69AnfH4j0dBg2LDz0tGm5ex2SJEnFhWG4JEmSJOXAlCmwZUs4Gbz1qZWZffa98NVXcNll8I9/hDPFH3oIfv8dgKSk8Pmb48eH4194IQzFZ8/e/3l2jrvjDkhLC88rSZKk7DMMlyRJkqQcGDcuDLarVoVFi6BDB0gcehjr7xwJy5dD9+5w223sqFuf8e1HcWrHdFJSwv3/+tc9xiXC+vWZj79+fbi+Y0dISYFq1cLzjR0blcuVJEkq9AzDJUmSJGkf+vaFSZPC1z1FItCzJyxeHIbWAGPGQNOmMCGpFsFTT/Pq/YuZ9MupXPLh31hKI57t+CyLv9jGE0/sY9wECIIw9G7SJFwP4X4pKeH5IpH8uXZJkqSiJhIEQRDtIgqajRs3Eh8fz4YNG6hQoUK0y5EkSZJUCMyeDf36hbO993Ru/UWMO+JOqrw3CRo3hrvvhgsvhJiY/Y5r1gyefhoSEvK+fkmSpMIoO1muM8MlSZIkKRckJMCCBeGDLnc3fDi8vKgZVWa9DPPmQf360KNH2DB86lQS2gf7HLdggUG4JElSbjEMlyRJkqRcEhcHt98O3bqF77t1g8GDw/UAHHMMvP56OI28cmU47zw44QTi3pvB7YODfY+TJEnSQTMMlyRJkqRcVr9+5te9tG8PM2fC22+HTcC7dIGTTuLUUrP3P06SJEk5ZhguSZIkSdFy6qnw0UcwbRps2MC1L3ZgOmdyxJq50a5MkiSpyDEMlyRJkqRoikTgnHNg/nz+fe5/qMNKbnjhOOjeHb74ItrVSZIkFRmG4ZIkSZJUEMTE8HnjC2nBQl4847nw6ZlHHw29esHy5dGuTpIkqdAzDJckSZKkAmQ7JZjX/FJYsgRGjYJZs6BJE0hMhFWrol2eJEl5LjU1f8ep+DAMlyRJkqSCKC4O+vcPZ4U/+CC8+io0bAjXXw9r1kS7OkmS8sTUqVCvHgwfDunpBzYmPR2GDYO6dcPHcEj7YhguSZIkSQVZmTIwcCB8/TX8/e/w73+HKcGgQfDTT9GuTpKkXDVlCmzZAkOGQOvWMHv2/vdPSoJWreCOOyAtLRwv7YthuCRJkiQVBuXKwe23w4oVcNNN8MQT4RS4oUOdKS5JKjLGjYPx46FqVVi0CDp0CDuFrV+feb/168P1HTtCSgpUqxaOGzs2OnWrcIgEQRBEu4iCZuPGjcTHx7NhwwYqVKgQ7XIkSZIkFTILF8KyZWFXkxYt8mjcunVw333w9NPh74dfcgnccAMcc8xB1S5JUkGwfj3cdhs880z4vlo1GDEi/OduwoTwl6bWrQu3JSaG/yRWrhy9ehU92clyDcOzYBguSZIkqdD45ZdwGtxjj8E334RT5AYMgK5dITY22tVJknRQZs+Gfv3CWeJ7atYs/Ew4ISH/61LBkZ0s1zYpkiRJklSYVawYtk1Zvhxefhl27IDu3aFBg3AK3YYN0a5QkqQcS0iABQvCB2TubvjwcL1BuLLDMFySJEmSioISJeAvfwmfJPbpp2E6MGgQHHFE2D5l+fJoVyhJUo7ExYWPzejWLXzfrRsMHhyul7LDMFySJEmSippjj4V//xtWrgxbpkyYAI0awXnnwcyZYLdMSVIhVL9+5lcpuwzDJUmSJKmoqlkT/vEPWLUKxoyBFSvglFOgVSsYNw62bIl2hZIkSfnGMFySJEmSirDUVKBMGbjiCvjsM3jnHahdG666Co48Eu6884+dshgnSZJUhBiGS5IkSVIRNXUq1KsXPmQsPR2IRMKZ4VOnwpIl0KMHPPxwGI737Qvz55OeHj6krG5dmDYt2lcgSZKUewzDJUmSJKmImjIl7IQyZAi0bg2zZ++2sWFDePRR+O47uO8+eP99aNOGzyt2ZN4dk9matp0pU6JWuiRJUq4zDJckSZKkImrcOBg/HqpWhUWLoEMHSEyE9et326liRdZfdiP9Tl1Odybx2+8wmb+woWoDxh71MGzYELX6JUmScpNhuCRJkiQVUZEI9OwJixeHITiEz9Fs2hQmTIAgCMPyJk1g9LgSTKE7LyS+z4Z35lLujA5EBt8GRxwB118Py5ZF92IkSZIOkmG4JEmSJBVxlSvD6NGQlATNmsHatdCrF8TEQO/esG5duD4pKdwv/pQ28Pzz8M03MHAgTJwIjRtD167w7rthii5JklTIGIZLkiRJUjGRkAALFoQPyNzd8OHh+oSEPQbUqAH33APffhtOKV+5Ek49FVq2DHuwbNmSX6VLkkTfvjBpUvgq5UQkCPxIf08bN24kPj6eDRs2UKFChWiXI0mSJEm5rnv38AGb3brB5MkHOCgIYOZMGDkSXnsNqlSBfv3giiugbt28LFeSJClL2clynRkuSZIkScVQ/fqZXw9IJAKnnAJTp8LSpXDJJWEwXq9eOK38qafgp5/yolxJkqSDZhguSZIkScq+Bg3gkUdgzZrwKZwVKhD87W9ha5XzzoP//hd+//2ADpWamse1SpIkYRguSZIkSToYZctCz55M7T+d2iVW87/TH2JH6hq46CI47DC48sqwtcqOHXsNTU8P+5fXrQvTpkWhdkmSCrONG8OnXz/2WPjv7XPPRbuiAq9EtAuQJEmSJBV+U6bAt2nVOP2162jW7Dr+NX4pxy4ZH84aHzcOjjgibKvSuzccfTRJSWG78ZSUXePPPTe61yBJUoEUBPD995CcHC4LFoSvX38dbo+Lg+bN4bjjolhk4WAYLkmSJEk6aOPGQefOMGAALFoEx/VqxFVX3c39c+6i8rI58MIL4U4PPsh3lVow7efebOISqlWrxYgRYU4uSVKxt20bLFmyK/Deuex8JkelStCqVdiSrFUraN0amjSBkiWjVnJhYhguSZIkSTpokQj07AlnnAG33QbPPANjxsDUqRFGjDiBSx47gYnHjeD169/i3J9f4G7+zn3cxvZGnSj5e2/Y8BeoWDHalyFJUv7ZtAk+/zxz6L1wIaSlhdvr1AkD7+uvD19btYJatcJ/dJUjhuGSJEmSpFxTuTKMHg19+4ZtUBYtgl69wgVKAueQ3Owcaj+8kXZrphDzwguQmAjXXhv2SendG848M/yVb0mSioIgCJ8WvXvonZwMy5eH20qWhKOOCsPu3r3D15Yt/ZA4DxiGS5IkSZJyXUJC+Bve//wnDBmya/3w4XDTTRAXVwG4FC69NOyD+uKLYSuV888PfwX8oovCQODEEyEmJlqXIUlS9mzfDkuX7t3fe926cHt8fBh2n3XWrtnezZr5IXA+iQRBEES7iIJm48aNxMfHs2HDBipUqBDtciRJkiQp1y1cCMuWQcOG0KJF3p6re/fwAZndusHkyX+y85dfhg/dHD8eVq0Kf0V859Typk3ztlBJkrLj11/Df1B37++9cCH8/nu4/cgjdwXerVuHr7Vr2+Ykl2Uny3VmuCRJkiQVQy1a5H0IvlP9+plf9+uoo8Lp4//3fzB7djhb/PHHYdgwOOaYcLZ4jx5Qo0ae1ixJUiZr1uzd5mTp0rDNSYkS4Qe2rVuH/0btbHNSuXJUS9beDMMlSZIkSQVPTAx07Bgujz4K06eHwfhtt8HNN5PW4TRKXdk7bKtSvvwBHzY11RxdkrQf27eHvbz3DL7XrAm3ly8fht1dusCtt+5qc1K6dLQqVjYYhkuSJEmSCrbSpcNeK927w88/kzz0ZTaNeoEO7/UlKFOGyOmnhw/fPPtsqF49y0Okp8ODD8I//gH//W+4uySpmPvtN/jii8yh9+efh+1PAI44Igy7r7pqV7uTunV9lkUhZhguSZIkSSo8KlXikV8TeS5I5Ei+4YbyL3LV8qlUuOqqcHvbtmHS3bVr2HIlEiEpCfr1g5SUcJcpUwzDJanYWbcu8wMtk5NhyRLYsQNiY6FJk7DNyV/+sqvNSZUq0a1Zuc4wXJIkSZJUqIwbB507w4ABtblp7SBuWjuIgb3Wcs8J0yk3c1rYc3zIELYfWYeZ5bty35fnspyOVKsWx4gRcMkl0b4CSVKe2bEDvvpq7zYnq1eH28uVC4PuU06BG28Mg++jjoIyZaJWsvKPYbgkSZIkqVCJRKBnTzjjjLCF+DPPwIjx1Rg/4zJGjLiMS17Ywsy/z2LlY9PovGoyb/Mov5esQPoxZxC/41z4+axsPdTMPuOSVEBt2bJ3m5PPPoPNm8PtNWuGYfdll+1qc1K/vm1OijHDcEmSJElSoVS5MoweDX37hm1QFi2CXr2gF6WBM4AzaNb0cV645TPKzJjKry9Oo82bfQhiY4m0bx/2Sjn3XGjUKEzY92CfcUkqINLTYdky+PLL8C/7L78Ml6VLwwdexsRA48Zh2N21a9jupGVLqFYt2pWrgDEMlyRJkiQVagkJYQvYf/4ThgzZtX74cLjppghxca24/P1WPBfcSQ1Wc3W117h+2zQqDx0Kt9wCtWvDaaeFvVdOOQWqVrXPuCRFw9atu0LvncuiRWHovW1buE+1amFbk1NPhRtuCIPv5s3hkEOiW7sKhUgQBEG0iyhoNm7cSHx8PBs2bKBChQrRLkeSJEmSCrWFC8Nso2FDaNEib8/VvXsYXHfrBpMn71ofBDBxIgwYED5DDeCvl/3GfV3epfyct+Htt8PQBVh1aCte+uk0ZtCZpVUTGD7yEC65JMvJ45KknNg99N5zpveeoXezZuHrzq99qKX2kJ0sN+oNckaNGkXdunUpXbo0bdq0ISkpaZ/7pqam0rNnTxo3bkxMTAwDBgzY77FffPFFIpEI559/fu4WLUmSJEk6YC1ahCF1XgfhELaC3f11p519xhcvhsTEcN2o5w6hwYBzmHD8SIKFXzD5se+5tvzzzPzpaHoygf9xOis2VKLnmFOI3DscPvkk/HV8SdKB2bo1DLtffhnuvhsuuiicxV22bBhuX3QRPPFE+CnlySfDo4/CrFnh+x9+gHffhccfh2uugY4dDcJ10KLaJuWll15iwIABjBo1ivbt2/P0009z5plnsmjRIo488si99k9LS6Nq1aoMGTKEESNG7PfY33zzDTfffDMdOnTIq/IlSZIkSYXMPvuM9wKoCfRhVrM+1H8q4PAqi9k46W3iP5kB990X9mCpWDFspXLaaeHSoEGWU8Z96KakYmXLFli+PPzEcffZ3kuXhoE4QNWqYQDeqRP89a+7ZnpXrRrd2lWsRLVNStu2bTnmmGN48sknM9Y1bdqU888/n3vvvXe/Y0866SRatWrFyJEj99q2fft2OnXqxOWXX05SUhK//PILr7zyygHXZZsUSZIkSSqcbrkl7B1+883hwy/3Jz19X33GIS4Opk6Fiy+GoUPh5hu2EvfZp2E7lbffho8+Cn+Vv1YtOOEEaNsW2rYlvUUbHny8jA/dlFT0BAF8/z0sWRIuS5fu+nrlynA7hLO3d7Y12b29iaG38kh2styozQxPT09n3rx53HbbbZnWd+nShQ8//PCgjn3PPfdQtWpVrrzyyv22XdkpLS2NtLS0jPcbN248qPNLkiRJkgq+uDi4/XaYO3dXn/HBg3dtnzIlnOw4ZAiMH1+Sp58+kYQ7T4Q774RNmyApCWbOhDlzwsT899+JUIIzOJpKtOWHB9pCoxPCZukxUe9SKkkHZvPmzEH37uH3r7+G+5QoEfajatwYLrggfG3cGBo1Cnt9SwVU1MLwH3/8ke3bt1O9evVM66tXr86aNWtyfNwPPviAsWPHkpycfMBj7r33Xu6+++4cn1OSJEmSVHjtq8/4uHHQuXP40M1Fi6BDB7jqKrj/fqhcuTycdRacdRbr18PgW7YxZ9wXnMDHdCo9h16VZxE/+0loQtha5fjjM80g59BD8/kqJRUVOW3DlGnc9u3wzTd7z/BesiSc/b1TtWphyN2mTfjghZ2hd926ULJkrlyPlJ+i2jMcILJHb7UgCPZad6A2bdpE7969eeaZZ6iSjYb6gwcP5sYbb8x4v3HjRmrVqpWjGiRJkiRJRcPOh26ecQbcdhs88wyMGRO2TxkxAi65BCZMgIEDYd26EkArjk9sxen39Se+MvDLL/Dpp+HM8TlzYNQouOee8OD162cOx1u1CqeqSyoSciWwzkKm9k03H8BfGz//zNYvlvDGyCUsfnUJfY5fQo2NS8L+3ju7JJQuHf4GS+PGcNllmWd5V6yY/YuQCrCoheFVqlQhNjZ2r1nga9eu3Wu2+IH66quvWLlyJefu1pRtx44dAJQoUYIlS5ZQf8+P+oFSpUpRqlSpHJ1TkiRJklS07f+hm6FmzeDppyEhYbeBFSuGU8s7dw7fBwGsWBEG4x9/HL7+979h8/JSpaB1613h+AknQJ06WT6cU1LBlu3AmvCvgQcf5E+fN5C5fRM8/VRAQqO1Ybj91Vfh6+5fr19PSaAr0Joj+HllY2p06wRXX70r9D7ySFs5qdiIWhgeFxdHmzZtmDFjBt26dctYP2PGDM4777wcHbNJkyYsXLgw07o77riDTZs28cgjjzjbW5IkSZKUYwkJsGDB/h+6uV+RCNSrFy6XXBKuS0uD5GSYM4ffZ82hzGuvwSOPhNuqVs0cjh93HMTH73XYnM5AlZQ39gqs9/ygbA9JSeEHbSkpu8ZnCsO3bw9blyxfzrh2X3HLj8v56n9fUWvRcup3/ArYvGvfGjWgQQPSGhzF9O1deXF9A5bSiF+qNmLYyLLhXz1+xqZiLKptUm688Ub69OnDscceS7t27Rg9ejSrVq2if//+QNi+5Pvvv+f555/PGLOzF/jmzZtZt24dycnJxMXF0axZM0qXLk3z5s0znaPiH7/Osed6SZIkSVLR07cvtGsX/sZ/Xvizh25mW6lS0LYtU39oy8Vv/DGT9NJ1xCV/smsG+T//CRs2hGF6kyYZ4fjW1sfz0PSm3HVf6f3OJJWKi7xqTZJd+3/ewK791q+HQYNgzJiAQ/mJLpVWMLT3CtrX+Br6rQh/k2TFirC399atAERiYmh25JE0bNeAD384gbsX92Y5Dfilcn2uebAeF11edrf2TeF5EhPhvvsyn1sqrqIahl988cX89NNP3HPPPaSmptK8eXOmT59O7dq1AUhNTWXVqlWZxrRu3Trj63nz5jFhwgRq167NypUr87N0SZIkSVIB1KJFuOS1fT10M6cyzyStytNPn03CPWeHG3fsCB9wt7O1ypw5BP/+NyW3b+dWIlxEHX69pjG82yRsedDkj9fDDrPNioqNvGxNkl17P28g4OUxv7B88rfcdfk3dKy1gsVvrmDluyu4Lv1rHmYF5dkMPwOPEf4GSN264dK1a/harx40aBC2T4qLoyTQCYidvat903tXQo8rd9WRZfsmqZiLBEEQRLuIgmbjxo3Ex8ezYcMGKlSoEO1yJEmSJEl56JZbwsnXN98cBmN5NWZ/ggAmTgxnku6czbm/maTjx/xGaxZwfPnFJHZcTNOYJUSWLAn7BG/fHu5cocKunsB/hOTrKjem6okNwwfmZYOtWFTQXX45PPdc+PWBhMB7tia5/PJwRneO/PYbfPttuKxatevrP5btK1cR+/uvGbunEccK6rKCumyoVJe2PepS95Q/Au+6daFSpWydPj39INo3SUVAdrLcqM4MlyRJkiRJWc0khTFjwtmuI0aELcYztz44hKMS2zP0vvaZWx+kp8PXX8PixbBkSbgsXgzTp8P69VQFgkgEatch0mS3WeT7mE2eVzNnc0NBaYlR0BWX71P2W5OE76tV23WPZWnr1rBfdxYhd8a69eszj6leHWrVCh9M2aULsbVqsa1GLca/X4vbnz6SVGoQEJNrgXWut2+SijDDcEmSJElSsZbXfcazo3JlGD06rGln64NevcJlp/3Oeo2LC4PtJk322nTdJT+y4MXFNA6W0H7TYs7btIRDp0+Hxx7Lcjb5ylKNGflmE975vjHQkClTSheYMLwgtcQoyIrT9yn7HyjB1Vft4L4Ba6i0+VuYtI+Z3WvWhL+6sVOlSmHQXatW+BfHRReFoffOdYcfHj4LYA8lgEt7wqtr8y6wzu32TVJRZBguSZIkSSrW8qvPeHYkJMCCBbnb+uDRCVWYeG4CAwYkMG4dXPnBHzNn30un8i+7ZpOnfb6Eb/+3mEprpzOScMZrEInArDpw5h+zyBs1CkO/mjXD6cPVq0OJXRFDXs9GztxjPfstMaZMKTwh78Eojt+nyvHbGf2PH+l/4g+M+vsPbFn1A/N6/cB3vX6gOj/wPD9Qu/QP1Cv7A6WeWwdjtu0afMghu2Z0N28OZ565K+TeuZQrd1D1GVhL0WUYLkmSJElSAZTbrQ/2PXM2jhEjmnDJJU3CmbMP7Zo5O7DPj9zVYzEVUpfsar2y52zynQevWhVq1OCHEjV5K7kGDTvUoO35NShRq8au0Pyww7KcNZvd2ch51hJjD4W9xUh+fZ/y3LZt4R/KH37482XdOtixg2OAPy6HjZQnjMKrU+Wo6jRs347YmtXZULo68UcdsSvorlTpgB46W1B+vpKyzzBckiRJkqQCLLdnkmavFUsVIOGPZTfbt8PatWEquPuyejXfv55K0+1fUGPWDIJZa4CtexdQY1dA/u22Gvz7nRp89kMNjqUms/9Vg3NPrRHO0t2HnLTESEyE++7LHALvT360GMnrsD0/vk/Ztn07bNgAv/yy97J2bdYB908/ZW5VAhAfH/5Gws6lUaPM73dbLut9SMYHSpMnh8Mz/Xy7FO0WMpJ2MQyXJEmSJKkYOqhWLLGxYRqbRSLbOoCJE+HcAfDjuh0cyk9c2y2Vm3qmUn7zrtA8/ZtUVr25nJi1SdzIakqTFh5g0h9LhQqZQvOMpUoVKF8eypencrlyjL6+PIldynPDHeWZu6QcvXrFHXiP9f3I6xYj+dnP+6B70e9u2zbYuDHrMPtAlk2b9n3sSpUyB9lHHRW+HnZY5vXVqkHp0gd28WT9gVJxbCEjyTBckiRJkqRsK0gP3TwYud2KBfacjRzDM89U5e4pVXnyg6PD2ci3/TEb+aXdZiNfFXD/4F+otCXzLPOMr7/7Dj79NFz36697nfM44MM/vk4jjk2UZzPlOKR6eapUKE/MPeUyAnTK7fb1nu93+3rc/eU4vVN5rr+lFIsWRXK9xUiuh7FBAGlp4UF3vu5c/nifsGULyfdsYdrLaUx5cQul2UIp0uh25hY6td1CiTe3wKtp8Pvv+w689xdmly8PFStmXurU2XtdVkuFCpn6zue1ItNCRlK2GIZLkiRJkpRNBfGhmwcjLx7ql73ZyBGgUrg0a7b/A6enh4Hspk2wefOur/94//zDm/j68020abSZC07ftW3LT5spvWbN3uPS0rI8TQToAVxcogS/xZXj5/SybB1Tkl+eLUFs9RJUOLQkP28swcrvS3DZtpL0pgTVapagfpOSxE0oAf8tGYa7JUqEM+mDYNcCjAsC7mobkJwckL4oILUDzKsT0KJ5QFzJXful/76N5Qu3EKxO4zm2UC52C0dU3UL5d9Kg+m5h9z6uY08lge5/LABpMaUp9WEpmF86nG1dunTY1z0+vkCE2XnVSqZAtpCRlOcMwyVJkiRJUp45qHYsWYmLg0MPDZcsLP0C/vk53NwVLngwXLffliRbt2YOx//4euvPm5j+0mbeeXUT/S/ZRLnIb/zvtW388uM2Sq7eSonV2yhBuFSN30r7ttuoVnlbeLxtf7z+/nv4un17mL7uXIBIJELt8hFqtouwbBl8+32EdSsjzF4NTZpEqHF4hNWrIyxMiWVjeiW2UJo6TUpzdEIpSlfcI7guXTrzsue6LN7fdldp7h8Zx803RnjwwWz+DHaTmgo1chAOH0jInR+tZHK1hYykAs8wXJIkSZIk5am8aMeSHfttSVKyZNirulKljP2TkqDf33e1JNkcE7bVuDw9DPVv2yPUvywnof7O0wPNgPWzd4WxfP7H8oe8CGO350IilNdhdX729c71D22ioKi0b5LyUky0C5AkSZIkScVDXrRjORDjxoVhatWqu/pDJyaG/aB3t359uL5jxzBQrVYtHDd2bLh9Z6jfrVv4fmeonxtB6c4wdtiwzOuHDw/XF8RZybuH1a1bw+zZ+98/KQlatYI77gi7ukyZsv/9c+vndqDy8ue7U9++MGlS+JrbWrSA7t2LVgsnKbcZhkuSJEmSpCJtZ3/oxYvD0BTC/tBNm4Z9oYMgDE+bNNn1oMTExDBY7dkzo7NJhrwK9fMjjM1NeR1W5/bP7UDl5Yc2BtZSdBmGS5IkSZJUgOXlTNLiZmd/6KSksPXI2rVhb+iYGOjdO3xQYrNm4fbRo6P3oMRozaDPrvwKqwvLz01SwWcYLkmSJElSAeZM0txXGFuSFGT5FVbn9OfmB0qSdjIMlyRJkiRJxU5ha0lSGOTHhww5+bn5gZKknXLh2cGSJEmSJKkw69sX2rWDhg2jXUn+KywtSQqLnWH13LnhAzJ3htW5zZ+bpJwwDJckSZIkqZhr0aLozJotzsF+duT198mwWlJBZBguSZIkSZKKjKIU7Oclv0+SiiPDcEmSJEmSlC+ctS1JiibDcEmSJEmSlC+KymxkQ/2izZ+vVHQZhkuSJEmSJGVDXof6hrHRVVQ+tJG0N8NwSZIkSZKkAsQwVpLyRky0C5AkSZIkSZIkKa85M1ySJEmSJBVbtiQpnPy5ScqJSBAEQbSLKGg2btxIfHw8GzZsoEKFCtEuR5IkSZIkqVBZuBCWLQvDalu+SMpL2clynRkuSZIkSZKkXGXfc0kFkT3DJUmSJEmSJElFnmG4JEmSJEmSJKnIMwyXJEmSJEmSJBV5huGSJEmSJEmSpCLPMFySJEmSJEmSVOQZhkuSJEmSJEmSijzDcEmSJEmSJElSkWcYLkmSJEmSJEkq8gzDJUmSJEmSJElFnmG4JEmSJEmSJKnIMwyXJEmSJEmSJBV5huGSJEmSJEmSpCLPMFySJEmSJEmSVOQZhkuSJEmSJEmSijzDcEmSJEmSJElSkWcYLkmSJEmSJEkq8gzDJUmSJEmSJElFnmG4JEmSJEmSJKnIMwyXJEmSJEmSJBV5huGSJEmSJEmSpCLPMFySJEmSJEmSVOQZhkuSJEmSJEmSirwS0S6gIAqCAICNGzdGuRJJkiRJkiRJ0r7szHB3Zrr7YxiehU2bNgFQq1atKFciSZIkSZIkSfozmzZtIj4+fr/7RIIDicyLmR07drB69WrKly9PJBKJdjls3LiRWrVq8e2331KhQoVolyMVOd5jUt7zPpPynveZlLe8x6S8530m5b2ieJ8FQcCmTZuoWbMmMTH77wruzPAsxMTEcMQRR0S7jL1UqFChyPwhlQoi7zEp73mfSXnP+0zKW95jUt7zPpPyXlG7z/5sRvhOPkBTkiRJkiRJklTkGYZLkiRJkiRJkoo8w/BCoFSpUvz973+nVKlS0S5FKpK8x6S8530m5T3vMylveY9Jec/7TMp7xf0+8wGakiRJkiRJkqQiz5nhkiRJkiRJkqQizzBckiRJkiRJklTkGYZLkiRJkiRJkoo8w3BJkiRJkiRJUpFnGF4A/fzzz/Tp04f4+Hji4+Pp06cPv/zyywGP79evH5FIhJEjR+ZZjVJhl5P77K677qJJkyaULVuWSpUqcdpppzFnzpz8KVgqhLJ7n23dupVBgwbRokULypYtS82aNenbty+rV6/Ov6KlQiQn/5ZNnjyZ008/nSpVqhCJREhOTs6XWqXCYtSoUdStW5fSpUvTpk0bkpKS9rv/e++9R5s2bShdujT16tXjqaeeyqdKpcIrO/dZamoqPXv2pHHjxsTExDBgwID8K1QqpLJzj02ePJnOnTtTtWpVKlSoQLt27Xjrrbfysdr8ZxheAPXs2ZPk5GTefPNN3nzzTZKTk+nTp88BjX3llVeYM2cONWvWzOMqpcItJ/dZo0aNePzxx1m4cCGzZ8+mTp06dOnShXXr1uVT1VLhkt377LfffmP+/PkMHTqU+fPnM3nyZJYuXUrXrl3zsWqp8MjJv2W//vor7du357777sunKqXC46WXXmLAgAEMGTKEBQsW0KFDB84880xWrVqV5f4rVqzgrLPOokOHDixYsIDbb7+d66+/nkmTJuVz5VLhkd37LC0tjapVqzJkyBBatmyZz9VKhU9277H333+fzp07M336dObNm8fJJ5/Mueeey4IFC/K58vwTCYIgiHYR2iUlJYVmzZrx8ccf07ZtWwA+/vhj2rVrx+LFi2ncuPE+x37//fe0bduWt956i7PPPpsBAwb4qamUhYO5z3a3ceNG4uPjefvttzn11FPzsmSp0Mmt++zTTz/l+OOP55tvvuHII4/My5KlQuVg77GVK1dSt25dFixYQKtWrfKhYqnga9u2LccccwxPPvlkxrqmTZty/vnnc++99+61/6BBg5g6dSopKSkZ6/r3789nn33GRx99lC81S4VNdu+z3Z100km0atXK34KX9uNg7rGdjjrqKC6++GLuvPPOvCozqpwZXsB89NFHxMfHZ/xPDcAJJ5xAfHw8H3744T7H7dixgz59+nDLLbdw1FFH5UepUqGV0/tsd+np6YwePZr4+HhnKEhZyI37DGDDhg1EIhEqVqyYB1VKhVdu3WOSQunp6cybN48uXbpkWt+lS5d93lMfffTRXvuffvrpzJ07l61bt+ZZrVJhlZP7TNKBy417bMeOHWzatInKlSvnRYkFgmF4AbNmzRqqVau21/pq1aqxZs2afY67//77KVGiBNdff31elicVCTm9zwBee+01ypUrR+nSpRkxYgQzZsygSpUqeVWqVGgdzH2205YtW7jtttvo2bMnFSpUyO0SpUItN+4xSbv8+OOPbN++nerVq2daX7169X3eU2vWrMly/23btvHjjz/mWa1SYZWT+0zSgcuNe+yhhx7i119/5aKLLsqLEgsEw/B8ctdddxGJRPa7zJ07F4BIJLLX+CAIslwPMG/ePB555BGee+65fe4jFQd5eZ/tdPLJJ5OcnMyHH37IGWecwUUXXcTatWvz5Hqkgig/7jMIH6bZo0cPduzYwahRo3L9OqSCKr/uMUlZ2/P++bN7Kqv9s1ovaZfs3meSsien99jEiRO56667eOmll7KcdFFUlIh2AcXF3/72N3r06LHfferUqcPnn3/ODz/8sNe2devW7fXJzk5JSUmsXbs2Uy/V7du3c9NNNzFy5EhWrlx5ULVLhUVe3mc7lS1blgYNGtCgQQNOOOEEGjZsyNixYxk8ePBB1S4VFvlxn23dupWLLrqIFStW8O677zorXMVKftxjkvZWpUoVYmNj95o5t3bt2n3eU4cddliW+5coUYJDDz00z2qVCquc3GeSDtzB3GMvvfQSV155Jf/973857bTT8rLMqDMMzydVqlQ5oFYK7dq1Y8OGDXzyySccf/zxAMyZM4cNGzZw4oknZjmmT58+e/1BPf300+nTpw+XX375wRcvFRJ5eZ/tSxAEpKWl5aheqTDK6/tsZxC+bNkyZs6caZigYica/5ZJgri4ONq0acOMGTPo1q1bxvoZM2Zw3nnnZTmmXbt2TJs2LdO6//3vfxx77LGULFkyT+uVCqOc3GeSDlxO77GJEydyxRVXMHHiRM4+++z8KDWqbJNSwDRt2pQzzjiDxMREPv74Yz7++GMSExM555xzaNy4ccZ+TZo0YcqUKQAceuihNG/ePNNSsmRJDjvssExjJIVycp/9+uuv3H777Xz88cd88803zJ8/n6uuuorvvvuOCy+8MFqXIhVYObnPtm3bxgUXXMDcuXMZP34827dvZ82aNaxZs4b09PRoXYpUIOXkHgNYv349ycnJLFq0CIAlS5aQnJxsr1YJuPHGGxkzZgzjxo0jJSWFgQMHsmrVKvr37w/A4MGD6du3b8b+/fv355tvvuHGG28kJSWFcePGMXbsWG6++eZoXYJU4GX3PgNITk4mOTmZzZs3s27dukz/jknKLLv32MSJE+nbty8PPfQQJ5xwQsb/f23YsCFal5D3AhU4P/30U9CrV6+gfPnyQfny5YNevXoFP//8c6Z9gODZZ5/d5zFq164djBgxIk/rlAqz7N5nv//+e9CtW7egZs2aQVxcXFCjRo2ga9euwSeffJL/xUuFRHbvsxUrVgRAlsvMmTPzvX6poMvJfzM+++yzWd5jf//73/O1dqmgeuKJJ4LatWsHcXFxwTHHHBO89957GdsuvfTSoFOnTpn2nzVrVtC6desgLi4uqFOnTvDkk0/mc8VS4ZPd+yyrf7dq166dv0VLhUh27rFOnTpleY9deuml+V94PokEwR9P+JAkSZIkSZIkqYiyTYokSZIkSZIkqcgzDJckSZIkSZIkFXmG4ZIkSZIkSZKkIs8wXJIkSZIkSZJU5BmGS5IkSZIkSZKKPMNwSZIkSZIkSVKRZxguSZIkSZIkSSryDMMlSZIkSZIkSUWeYbgkSZJyJAgCrr76aipXrkwkEiE5OTnaJeVIJBLhlVde2ef2k046iQEDBuRbPTp4s2bNIhKJ8Msvv+T6sd99912aNGnCjh07cv3Yu7vgggt4+OGH8/QckiRJxY1huCRJknLkzTff5LnnnuO1114jNTWV5s2bR7skKc/deuutDBkyhJiY8H+lnnvuOSpWrJhpn5SUFI444gi6d+9OWlpaxvpZs2ZRo0YNgiDgsssuIxKJ7LUsX74cgDvvvJNhw4axcePGfLs2SZKkos4wXJIkSTny1VdfUaNGDU488UQOO+wwSpQoke1jBEHAtm3b8qC6zLZu3Zrn51DR9+GHH7Js2TIuvPDCfe7z6aef0qFDB04//XT++9//UqpUqYxtU6dOpWvXrkQiEQDOOOMMUlNTMy1169YF4Oijj6ZOnTqMHz8+by9KkiSpGDEMlyRJUrZddtllXHfddaxatYpIJEKdOnUASEtL4/rrr6datWqULl2ahIQEPv3004xxO9tXvPXWWxx77LGUKlWK119/ndjYWObNmweEAXnlypU57rjjMsZNnDiRGjVqZLwfNGgQjRo14pBDDqFevXoMHTo0U+B911130apVK8aNG0e9evUoVaoUQRCwbNkyOnbsSOnSpWnWrBkzZszI9rX//PPP9O3bl0qVKnHIIYdw5plnsmzZskz7PPPMM9SqVYtDDjmEbt268fDDD+81ezir7+n555/P8OHDqV69OhUrVuTuu+9m27Zt3HLLLVSuXJkjjjiCcePGZRq3cOFCTjnlFMqUKcOhhx7K1VdfzebNm/c67j//+U9q1KjBoYceyrXXXpvp+5Wens6tt97K4YcfTtmyZWnbti2zZs0C4Ndff6VChQq8/PLLmc47bdo0ypYty6ZNm1i5ciWRSITJkydz8sknc8ghh9CyZUs++uijTGM+/PBDOnbsSJkyZahVqxbXX389v/76a8b2UaNG0bBhQ0qXLk316tW54IILMra9/PLLtGjRIuM6TzvttExj/8ykSZM46qijKFWqFHXq1OGhhx7KtD01NZWzzz6bMmXKULduXSZMmECdOnUYOXJkxj4vvvgiXbp0oXTp0lme49133+WUU07h8ssvZ+zYscTGxmbavjMM36lUqVIcdthhmZbdx3Tt2pWJEyce8DVKkiRp/wzDJUmSlG2PPPII99xzD0cccQSpqakZgfett97KpEmT+Ne//sX8+fNp0KABp59+OuvXr880/tZbb+Xee+8lJSWFhIQEWrVqlRG+fv755xmvO1tEzJo1i06dOmWML1++PM899xyLFi3ikUce4ZlnnmHEiBGZzrF8+XL+85//MGnSJJKTk9mxYwfdu3cnNjaWjz/+mKeeeopBgwZl+9ovu+wy5s6dy9SpU/noo48IgoCzzjorI1z+4IMP6N+/PzfccAPJycl07tyZYcOGHdCx3333XVavXs3777/Pww8/zF133cU555xDpUqVmDNnDv3796d///58++23APz222+cccYZVKpUiU8//ZT//ve/vP322/ztb3/LdNyZM2fy1VdfMXPmTP71r3/x3HPP8dxzz2Vsv/zyy/nggw948cUX+fzzz7nwwgs544wzWLZsGWXLlqVHjx48++yzmY757LPPcsEFF1C+fPmMdUOGDOHmm28mOTmZRo0acckll2TM/F+4cCGnn3463bt35/PPP+ell15i9uzZGbXOnTuX66+/nnvuuYclS5bw5ptv0rFjRyAMqi+55BKuuOIKUlJSmDVrFt27dycIggP6vs6bN4+LLrqIHj16sHDhQu666y6GDh2a6XvQt29fVq9ezaxZs5g0aRKjR49m7dq1mY7z/vvvc+yxx2Z5jilTpnD22WczZMgQHnzwwb22f/nll6xZs4ZTTz31gGoGOP744/nkk08ytVqRJEnSQQgkSZKkHBgxYkRQu3btjPebN28OSpYsGYwfPz5jXXp6elCzZs3ggQceCIIgCGbOnBkAwSuvvJLpWDfeeGNwzjnnBEEQBCNHjgwuuOCC4Jhjjglef/31IAiCoFGjRsGTTz65z1oeeOCBoE2bNhnv//73vwclS5YM1q5dm7HurbfeCmJjY4Nvv/02Y90bb7wRAMGUKVP2eexOnToFN9xwQxAEQbB06dIACD744IOM7T/++GNQpkyZ4D//+U8QBEFw8cUXB2effXamY/Tq1SuIj4/f5zmCIAguvfTSoHbt2sH27dsz1jVu3Djo0KFDxvtt27YFZcuWDSZOnBgEQRCMHj06qFSpUrB58+aMfV5//fUgJiYmWLNmTabjbtu2LWOfCy+8MLj44ouDIAiC5cuXB5FIJPj+++8z1XPqqacGgwcPDoIgCObMmRPExsZm7LNu3bqgZMmSwaxZs4IgCIIVK1YEQDBmzJiM8V9++WUABCkpKUEQBEGfPn2Cq6++OtM5kpKSgpiYmOD3338PJk2aFFSoUCHYuHHjXt+befPmBUCwcuXK/X4Pd9r55+znn38OgiAIevbsGXTu3DnTPrfcckvQrFmzIAiCICUlJQCCTz/9NGP7smXLAiAYMWJExrr4+Pjg+eefz3ScZ599NoiNjQ1iY2ODoUOH7rOmYcOGBd27d894f+mllwaxsbFB2bJlM5YLLrgg05jPPvssW9ctSZKk/XNmuCRJknLFV199xdatW2nfvn3GupIlS3L88ceTkpKSad89Z9eedNJJJCUlsWPHDt577z1OOukkTjrpJN577z3WrFnD0qVLM80Mf/nll0lISOCwww6jXLlyDB06lFWrVmU6Zu3atalatWrG+5SUFI488kiOOOKIjHXt2rXL1jWmpKRQokQJ2rZtm7Hu0EMPpXHjxhnXuGTJEo4//vhM43Z/v2rVKsqVK5exDB8+PGPbUUcdlfFgRoDq1avTokWLjPexsbEceuihGTOWU1JSaNmyJWXLls3Yp3379uzYsYMlS5ZkOu7u7Tdq1KiRcYz58+cTBAGNGjXKVNd7773HV199lVH/UUcdxfPPPw/Av//9b4488siMmds7HX300ZnOAWScZ968eTz33HOZznH66aezY8cOVqxYQefOnalduzb16tWjT58+jB8/nt9++w2Ali1bcuqpp9KiRQsuvPBCnnnmGX7++ecsf0ZZSUlJyfTncuf3admyZWzfvp0lS5ZQokQJjjnmmIztDRo0oFKlSpnG/P7771m2SClTpgydO3fmmWee2evP+k6vvvpqphYpACeffDLJyckZy6OPPrrXcYGM74MkSZIOjmG4JEmSckXwR8uKnQ8H3H39nut2D28BOnbsyKZNm5g/fz5JSUmcdNJJdOrUiffee4+ZM2dSrVo1mjZtCsDHH39Mjx49OPPMM3nttddYsGABQ4YMIT09fb/nCLJoqbFnXQd6jVmt33msrK5393E1a9bMFID2798/Y1vJkiX3qi+rdTt27NjnuXbfb3/H3XmMHTt2ZPRs372ulJQUHnnkkYwxV111VUarlGeffZbLL798r3Pvfp6d23Y/T79+/TKd47PPPmPZsmXUr1+f8uXLM3/+/Iz+8HfeeSctW7bkl19+ITY2lhkzZvDGG2/QrFkzHnvsMRo3bsyKFSuyvPY9/dnPZH8/191VqVIlyxA+NjaWV155hTZt2nDyySezaNGiTNvXrFnD/PnzOfvsszOtL1u2LA0aNMhYdu+LD2S0F9r9Qx1JkiTlnGG4JEmSckWDBg2Ii4tj9uzZGeu2bt3K3LlzM4LsfYmPj6dVq1Y8/vjjRCIRmjVrRocOHViwYAGvvfZaplnhH3zwAbVr12bIkCEce+yxNGzYkG+++eZP62vWrBmrVq1i9erVGev2fMDjgRxj27ZtzJkzJ2PdTz/9xNKlSzOusUmTJnzyySeZxs2dOzfj6xIlSmQKQCtXrpytGvasJzk5OdODJD/44ANiYmJo1KjRAR2jdevWbN++nbVr12aqq0GDBhx22GEZ+/Xu3ZtVq1bx6KOP8uWXX3LppZdmq9ZjjjmGL7/8cq9z7PxzA+H35rTTTuOBBx7g888/Z+XKlbz77rtAGK63b9+eu+++mwULFhAXF8eUKVMO6NzNmjXL9OcSwod5NmrUiNjYWJo0acK2bdtYsGBBxvbly5fzyy+/7PW92jPo3qlUqVJMnjyZ448/npNPPpkvvvgiY9vUqVNp164dVapUOaB6d/riiy844ogjsj1OkiRJWTMMlyRJUq4oW7Ys11xzDbfccgtvvvkmixYtIjExkd9++40rr7zyT8efdNJJvPDCC3Tq1IlIJEKlSpVo1qwZL730EieddFLGfg0aNGDVqlW8+OKLfPXVVzz66KMHFIqedtppNG7cmL59+/LZZ5+RlJTEkCFDsnWNDRs25LzzziMxMZHZs2fz2Wef0bt3bw4//HDOO+88AK677jqmT5/Oww8/zLJly3j66ad54403sj0L/UD06tWL0qVLc+mll/LFF18wc+ZMrrvuOvr06UP16tUP6BiNGjWiV69e9O3bl8mTJ7NixQo+/fRT7r//fqZPn56xX6VKlejevTu33HILXbp0ydRu5kAMGjSIjz76iGuvvZbk5GSWLVvG1KlTue666wB47bXXePTRR0lOTuabb77h+eefZ8eOHTRu3Jg5c+YwfPhw5s6dy6pVq5g8eTLr1q370w9Zdrrpppt45513+Mc//sHSpUv517/+xeOPP87NN98MhB9gnHbaaVx99dV88sknLFiwgKuvvpoyZcpk+rmdfvrpe4Xqu4uLi2PSpEmceOKJnHLKKSxcuBAIw/Cdfz6yIykpiS5dumR7nCRJkrJmGC5JkqRcc9999/GXv/yFPn36cMwxx7B8+XLeeuutvXovZ+Xkk09m+/btmYLvTp06sX379kwzw8877zwGDhzI3/72N1q1asWHH37I0KFD//T4MTExTJkyhbS0NI4//niuuuoqhg0blu1rfPbZZ2nTpg3nnHMO7dq1IwgCpk+fntEipH379jz11FM8/PDDtGzZkjfffJOBAwdm2Wv6YB1yyCG89dZbrF+/nuOOO44LLriAU089lccffzzb19S3b19uuukmGjduTNeuXZkzZw61atXKtN+VV15Jeno6V1xxRbZrPfroo3nvvfdYtmwZHTp0oHXr1gwdOjSjNUjFihWZPHkyp5xyCk2bNuWpp55i4sSJHHXUUVSoUIH333+fs846i0aNGnHHHXfw0EMPceaZZx7QuY855hj+85//8OKLL9K8eXPuvPNO7rnnHi677LKMfZ5//nmqV69Ox44d6datG4mJiZQvXz7Tz613794sWrQoUz/2PZUsWZL//Oc/dOzYkVNOOYXPPvuMd955Z69+4X9my5YtTJkyhcTExGyNkyRJ0r5Fgn01yJMkSZKUKxITE1m8eDFJSUnRLuWgjB8/nhtuuIHVq1dntDYpqr777jtq1arF22+/zamnnpqx/tZbb2XDhg08/fTTB3ScyZMnc8cdd+yzvcq+PPHEE7z66qv873//y9Y4SZIk7VuJaBcgSZIkFTX//Oc/6dy5M2XLluWNN97gX//6F6NGjYp2WTn222+/sWLFCu6991769etXJIPwd999l82bN9OiRQtSU1O59dZbqVOnDh07dsy035AhQ3jiiSfYvn07sbGxf3rccuXKcf/992e7npIlS/LYY49le5wkSZL2zZnhkiRJUi676KKLmDVrFps2baJevXpcd9119O/fP9pl5dhdd93FsGHD6NixI6+++irlypWLdkm57q233uKmm27i66+/pnz58px44omMHDmS2rVrR7s0SZIk5RLDcEmSJEmSJElSkecDNCVJkiRJkiRJRZ5huCRJkiRJkiSpyDMMlyRJkiRJkiQVeYbhkiRJkiRJkqQizzBckiRJkiRJklTkGYZLkiRJkiRJkoo8w3BJkiRJkiRJUpFnGC5JkiRJkiRJKvL+H3MdFm4pgdCbAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 1800x1000 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# we compute all the strikes\n",
    "list_of_strikes=[]\n",
    "for K in df.Strike:\n",
    "    if K not in list_of_strikes:\n",
    "        list_of_strikes.append(K)\n",
    "list_of_strikes=np.sort(list_of_strikes)\n",
    "\n",
    "IV_data = []\n",
    "lm_data = []\n",
    "# we compute the strikes available for calls or puts, and then compute IV\n",
    "for K in list_of_strikes:\n",
    "    call_empty=df[(df.Type==\"Call\") & (df.Strike==K)].empty\n",
    "    put_empty=df[(df.Type==\"Put\") & (df.Strike==K)].empty\n",
    "    if (K>=F): # we select call price if available\n",
    "        if call_empty==0.0: # call price exist\n",
    "            call_price=df[(df.Type==\"Call\") & (df.Strike==K)].Mid.values[0]\n",
    "            vol_impli, iterations=volImplCallCore_Newton(tau, K, DF, F, call_price, initial_point='automatic', prix_tol = 1.e-3, max_iter=50)\n",
    "            IV_data=np.append(IV_data, vol_impli)\n",
    "            lm_data=np.append(lm_data, np.log(K/F))\n",
    "    else: # we select put price if available\n",
    "        if put_empty==0.0: # put price exist, we deduce call price by parity relation\n",
    "            put_price=df[(df.Type==\"Put\") & (df.Strike==K)].Mid.values[0]\n",
    "            call_price=put_price + DF*(F-K)\n",
    "            vol_impli, iterations=volImplCallCore_Newton(tau, K, DF, F, call_price, initial_point='automatic', prix_tol = 1.e-3, max_iter=50)\n",
    "            IV_data=np.append(IV_data, vol_impli)\n",
    "            lm_data=np.append(lm_data, np.log(K/F))        \n",
    "    \n",
    "Total_Variance_data=IV_data**2*tau\n",
    "# initial guess\n",
    "a_init = np.min(IV_data**2*tau) /2\n",
    "b_init = 0\n",
    "rho_init = 0\n",
    "k_0_init = 0 \n",
    "sig_init = np.min(IV_data**2*tau) /2\n",
    "\n",
    "SVIparameter_init    = np.array([a_init, b_init, rho_init, k_0_init, sig_init]) \n",
    "\n",
    "result=optimization.minimize(function_to_minimize_least_squares, args=(lm_data, Total_Variance_data), \n",
    "                             x0=SVIparameter_init, method='L-BFGS-B', tol=1E-10,\n",
    "                             bounds=[(1E-5, np.max(Total_Variance_data)),\n",
    "                                     (1E-3,1), \n",
    "                                     (-1 + 1e-3, 1 - 1e-3), \n",
    "                                     (2*np.min(lm_data),2*np.max(lm_data)), \n",
    "                                     (0.001, 1)])  \n",
    "\n",
    "a, b , rho, k_0, sig = result['x']\n",
    "print(\"Initial\", SVIparameter_init)\n",
    "print(\"Final\", result['x'])\n",
    "\n",
    "plt.figure(figsize=(18,10))\n",
    "plt.title(\"Calibrated IV slice\")\n",
    "plt.xlabel(\"forward log-moneyness log(K/F)\")\n",
    "plt.ylabel(\"implied vol\")\n",
    "plt.plot(lm_data*1.2,np.sqrt(SVI(lm_data*1.2, a, b , rho, k_0, sig)/tau), lw=1, color=\"red\")\n",
    "plt.scatter(lm_data,IV_data, s=200, marker=\"1\",color=\"blue\")    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a02c18df",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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