{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "98cf73e4",
   "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><li><span><a href=\"#Redo-the-experiments-adding-bid-ask-spread-to-prices\" data-toc-modified-id=\"Redo-the-experiments-adding-bid-ask-spread-to-prices-2.4\"><span class=\"toc-item-num\">2.4&nbsp;&nbsp;</span>Redo the experiments adding bid-ask spread to prices</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": "de79cbd3",
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   "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": "56233ea1",
   "metadata": {},
   "source": [
    "## Implementing the parametrization"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "4d3ea350",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "88afb241",
   "metadata": {},
   "outputs": [],
   "source": [
    "def SVI(k, a, b , rho, k_0, sig):\n",
    "    # A COOMPLETER\n",
    "    total_variance = a + b * (rho * (k - k_0) + np.sqrt((k - k_0)**2 + sig**2))\n",
    "    return total_variance"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "5d20adf0",
   "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": "9abf972b",
   "metadata": {},
   "source": [
    "## Plotting SVI implied volatility"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "41b6139f",
   "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, b_true, rho_true, k_0_true, 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_true, b, rho_true, k_0_true, 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_true, b_true, rho, k_0_true, 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_true, b_true, rho_true, k_0, 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_true, b_true, rho_true, k_0_true, 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": "a1a497dc",
   "metadata": {},
   "source": [
    "## Test if butterfly arbitrage"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "45830799",
   "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": 20,
   "id": "18b1b05b",
   "metadata": {},
   "outputs": [],
   "source": [
    "def g_SVI(k, a, b , rho, k_0, sig): # we compute the function g in the SVI model\n",
    "    w= a + b * (rho * (k - k_0) + np.sqrt((k - k_0)**2 + sig**2))\n",
    "    derivee_w= b * (rho + (k - k_0) / np.sqrt((k - k_0)**2 + sig**2))\n",
    "    derivee_seconde_w = sig**2 * b / (( (k - k_0)**2 + sig**2 )**(3/2))\n",
    "    g = (1 - k * derivee_w / (2 * w))**2 - (derivee_w**2 / 4) * (1 / w + 1 / 4) + (derivee_seconde_w / 2)\n",
    "    return g"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "bd91973a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x15732db8910>"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 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",
    "plt.plot(lm_grid_test, g_SVI(lm_grid_test, a, b , rho, k_0, sig), label=\"g_SVI\")\n",
    "plt.plot(lm_grid_test, 0 *lm_grid_test)\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "d976987f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x157330b11d0>]"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(lm_grid_test, np.sqrt((a + b * (rho * (lm_grid_test - k_0) + np.sqrt((lm_grid_test - k_0)**2 + sig**2)))/tau))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "74fd3a18",
   "metadata": {},
   "source": [
    "## Usual Black-Scholes functions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "8d713611",
   "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": 10,
   "id": "5c59bc0a",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Call price: 3.2962105015149836\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": "239bcba7",
   "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": "19aa1b99",
   "metadata": {},
   "source": [
    "## Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "75bc7c96",
   "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_impli= np.sqrt(SVI(lm, a_true, b_true, rho_true, k_0_true, sig_true)/tau) # COMPLETER LA VOL TYPE SVI\n",
    "    IV_data=np.append(IV_data, sigma_impli)\n",
    "\n",
    "    call_prices=np.append(call_prices, Call_BS_core(tau, F*np.exp(lm), DF, F, sigma_impli)) # COMPLETER LE PRIX CALL AVEC SVI\n",
    "    put_prices=np.append(put_prices, Put_BS_core(tau, F*np.exp(lm), DF, F, sigma_impli)) # COMPLETER LE PRIX PUT AVEC SVI"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "35e72a9a",
   "metadata": {},
   "source": [
    "## Plotting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "3e6b21a5",
   "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": "5842e009",
   "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": 29,
   "id": "5706055a",
   "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": 38,
   "id": "8c70bcac",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Initial [0.06727914 0.001      0.         0.         0.06727914]\n",
      "Final [ 0.02000402  0.1999982  -0.30003427  0.04996804  0.59999543]\n",
      "True (0.02, 0.2, -0.3, 0.05, 0.6)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x15737e07750>"
      ]
     },
     "execution_count": 38,
     "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",
    "\n",
    "Total_Variance_data = IV_data**2*tau\n",
    "\n",
    "\n",
    "a_init = np.min(Total_Variance_data)/2\n",
    "b_init = 1e-3\n",
    "rho_init = 0\n",
    "k_0_init = 0\n",
    "sig_init = np.min(Total_Variance_data)/2\n",
    "\n",
    "SVIparameter_init    = np.array([a_init, b_init, rho_init, k_0_init, sig_init]) \n",
    "\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(lm_grid, np.sqrt(SVI(lm_grid, a, b, rho, k_0, sig)/tau), lw=1, color=\"red\") # COMPLETER AVEC LE SMILE CALIBRE\n",
    "plt.scatter(lm_grid, IV_data, s=200, marker=\"1\",color=\"blue\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2a8156bd",
   "metadata": {},
   "source": [
    "# An example of SVI calibration on real data (OESB,  2021 Feb. 19th)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "d564f7d2",
   "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": 39,
     "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": 40,
   "id": "e5572cba",
   "metadata": {},
   "outputs": [],
   "source": [
    "DF=0.999996; F=82.840448 # a été calculé par regression faite au TD4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "73970de3",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Initial [0.00326683 0.001      0.         0.         0.00326683]\n",
      "Final [ 1.00000000e-05  5.56722687e-02 -6.74243317e-01 -7.97467238e-02\n",
      "  1.61616637e-01]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x1573a8ea350>"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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p0qR06NAhEydOTPv27dMSFGNSDj642iX+Sd26JVdckfTuXUZlAAAAAADzn+XqDKeiCLqfeqq6QeaMig02i+OCcAAAAACgOROGM127dsmJJyb9+1efF/eDBlWPAwAAAAA0Z8JwPmW11Wa+BwAAAABo7oThAAAAAADUPGE4AAAAAAA1TxgOAAAAAEDNE4YDAAAAAFDzhOEAAAAAANQ8YTgAAAAAADVPGA4AAAAAQM1rU3YBND0DBiQ9eyarr152JQAAAAAADUMYzqd07169AQAAAADUCmNSAAAAAACoecJwAAAAAABqnjAcAAAAAICaJwwHAAAAAKDmCcMBAAAAAKh5wnAAAAAAAGqeMBwAAAAAgJonDAcAAAAAoOYJwwEAAAAAqHnCcAAAAAAAap4wHAAAAACAmicMBwAAAACg5gnD+bSnny67AgAAAACABiUMZ2bPPJN8/evJ0UcnH39cdjUAAAAAAA1CGM7Mvva15Cc/SX7842SXXZL//KfsigAAAAAA5pswnE/77neTkSOTO+9M+vVL3nqr7IoAAAAAAOaLMJxZ23775P77k7//Pdloo+Rvfyu7IgAAAACAeSYM57Otv34ydmzSunWy4YbVxwAAAAAAzZAwnNlbddXk4YeTNddMvvGNZMSIsisCAAAAAJhrwnA+X8eOye9+l+ywQ3VTzYsvLrsiAAAAAIC50mbultNiLbxwMnx4svLKyVFHJS++mFx4YXWECgAAAABAEycMZ861apWce26yyirJd7+bvPJKMmxYsuiiZVcGAAAAADBbxqQw9w49NPntb5N77qnOER8/vuyKAAAAAABmSxjOvNl22+SBB5KXXkp69kz+8peyKwIAAAAA+EzCcObduusmjzySLLRQNRAfM6bsigAAAAAAZkkYzvwp5oc/9FDSvXuy2WbJjTeWXREAAAAAwKcIw5l/Sy6Z3H138q1vJbvumlxwQVJfX3ZVAAAAAADTtfnfQ5gPxaiUa6+tdoofd1x1lviPf5y0bl12ZQAAAAAAwnAaUKtWyeDBycorJ9/5TvLKK8mvfpUstljZlQEAAAAALZwxKTS8gw5Kbr01ue++ZJNNkjffLLsiAAAAAKCFE4bTOL75zeTBB5N//jPZcMPk+efLrggAAAAAaMGE4TSer389efTR6piUjTaqhuMAAAAAACUQhtO4vvjFZMyYpEePZPPNk+uvL7siAAAAAKAFEobT+L7wheSuu5Lddkv22CM599ykvr7sqgAAAACAFqRN2QXQQrRrl/ziF8kqqyQnnJC8+GLy058mbfwjCAAAAAA0PkkkC05dXfLDH1YD8YMOSl59NbnhhmTxxcuuDAAAAACoccaksODtv39y++3VDTU33jgZN67sigAAAACAGicMpxxbbpmMHp288Uay4YbJs8+WXREAAAAAUMOE4ZSnR4/kkUeSDh2SjTZK7r+/7IoAAAAAgBolDKdcnTtXO8TXWy/ZYotk2LCyKwIAAAAAapAwnPIVneHFDPE990z23js566ykvr7sqgAAAACAGtKm7AKgol275Jprki5dkpNOSl56KfnZz5I2/hEFAAAAAOafpJGmo64uOe20ZJVVkgMPTF59Nfn1r5Mllii7MgAAAACgmWsSY1IuvfTSrLLKKll44YWzwQYb5LHHHvvMtVdddVX69OmTJZdcsnLbbLPNZrn+ueeey/bbb58OHTpkscUWy3rrrZdXXnmlkT8JDWLffZM770wefjjp2zd5/fWyKwIAAAAAmrnSw/AbbrghRx99dE477bQ8+eSTWWuttbLllltm/Pjxs1x///33Z4899sioUaMyduzYdO7cOVtssUVee+216Wv+/ve/p3fv3unatWtl/TPPPJNTTjmlErbTTGy2WTJmTPL228mGG+atUX+ap8uMG9fglQEAAAAAzVBdfX25OxUWneBF1/ZPf/rTyvOPP/64EnAffvjhOeGEEz73/I8++qjSIV6cP2DAgMqx3XffPW3bts211147TzVNmjSp0lE+ceLEtG/ffp6uQQN57bVM7LNN8uKLuX3/m7LzZf0q48U/z9SpyfnnJ2eckdx4Y7LddguiWAAAAABgQZqbLLfUzvCpU6fmiSeeqIw6mV5Qq1aV50XX95z44IMP8uGHH6Zjx47Tw/Tbb789X/7ylysd5p06daoE7jfffPNnXmPKlCmVL23GG03EiivmhJ4PZmx6ZpehW+W0Lr+sNIzPzujRSY8eycknF3+2yciRC6pYAAAAAKCpKjUMf/vttyud3csuu+xMx4vnb7zxxhxd4/jjj88KK6wwPVAvxqu89957Oeecc7LVVlvlnnvuSf/+/bPTTjvlgQcemOU1zj777MqvB9NuRWc6TcfPrmufd39xa25YeN+c/fq+uafPDzPwwPpMmDDzuuL5wIHVMePPPZd06pQMG5ZcfXVZlQMAAAAATUXpM8PnRxF4X3/99Rk5cuT0eeBFZ3hhhx12yFFHHZUePXpUxq1su+22ufzyy2d5nUGDBlXa6KfdXn311QX6OZi9urpkjwFts/U/r8rN65yRH+a09Lz6gHTv+mGGD0+KQT9F6N21azJkSPWcIhQvAvE996yeDwAAAAC0bG3KfPOll146rVu3zptvvjnT8eL5csstN9tzL7jggkoYfu+99+ZrX/vaTNds06ZNunXrNtP6NddcM2M+Y77GQgstVLnRtHVcqi47Pn5yXjh55ewz+ICs9NY/s/Nev8lee/1vFlDxx37FFUnv3qWWCgAAAAA0MaV2hrdr1y7rrLNOfv/7308/VnR2F8979uz5meedd955OeOMM3LXXXdl3XXX/dQ1iw05X3jhhZmO/+Uvf8nKK6/cCJ+CBW2NM/dJ7rorfRd+LKPTJyvmn5XjZ52VPPWUIBwAAAAAaGKd4YWjjz46++67byXUXn/99XPxxRfn/fffz7e//e3K6wMGDMiKK65YmetdOPfcc3Pqqadm+PDhWWWVVabPFl988cUrt8Jxxx2X3XbbLX379s2mm25aCc1vvfXW3H///SV+UhpS2y2/kbaPP5QV1ts6Y//TMz/qd2cGDfpq2WUBAAAAAE1U6TPDi9C6GHlSBNzFfO+nn366El5P21TzlVdeybhx46avv+yyyzJ16tTsvPPOWX755affimtMU2yYWcwHLzrIu3fvniFDhmTEiBHprWW4tnzlK7l837GZkI45e0zvxI8dAAAAAMBnqKuvL7YfZEaTJk1Khw4dKptptm//v3nUND3HHZdcccGkPPHFnbL6G6OTX/6y+IWl7LIAAAAAgCaW5ZbeGQ7z699pn6u/dUey667J7rsnF15YdkkAAAAAQBNT+sxwaAgftW5X7QpfaaXkmGOSV19NfvSjpJXfewAAAAAAYTi1pK4uKTZa7dw5Ofzw5J//TK69Nll44bIrAwAAAABKpm2W2vOd7yQjRiS33ZZssUXy7rtlVwQAAAAAlEwYTm3accfk979P/vznpFev5JVXyq4IAAAAACiRMJzatdFGycMPJ5MnJxtumPzhD2VXBAAAAACURBhOszZgQHUiSnE/S2usUQ3EV1gh6dMnuffeBVwhAAAAANAUCMNp1rp3T3baqXr/mZZbLrn//uq4lG9+M7nuugVYIQAAAADQFAjDaRkWXzy55ZZkn32qt3POSerry64KAAAAAFhA2iyoN4LStW2bXH110rlzMmhQ8uqryU9+krRuXXZlAAAAAEAjE4bTstTVJT/4QbLSSsmhhyavv54MH54sskjZlQEAAAAAjciYFFqmgQOT3/42ueeepF+/5O23y64IAAAAAGhEwnBarm22SUaNSv72t+rmmi++WHZFAAAAAEAjEYbTsq2/fvLww8nHHyc9eyZPPFF2RQAAAABAIxCGw5e+VA3EV1452Xjj5K67yq4IAAAAAGhgwnAoLLNMct99yaabJttum1xzTdkVAQAAAAANSBgO0yy2WDJyZHLAAcn++ydnnJHU15ddFQAAAADQANo0xEWgZrRpk1x+edK5c3LKKcmrryY/+1n1OAAAAADQbEn44JPq6pKTT05WWikZODB5/fXkhhuqneMAAAAAQLNkTAp8lv32S267LXnggeos8fHjy64IAAAAAJhHwnCYnS23rIbhr7ySbLRR8re/lV0RAAAAADAPhOHweb7+9WTs2Orc8J49k8ceK7siAAAAAGAuCcNhTnTpkjz0UPLlLyebbFIdnwIAAAAANBvCcJhTSy2V3HtvstVWyQ47JFdeWXZFAAAAAMAcEobD3FhkkeTGG5PvfCc5+ODklFOS+vqyqwIAAAAAPkebz1sAfELr1slPfpJ07pwcf3zyz39Wu8Tbti27MgAAAADgMwjDYV7U1SXf/36y4orJt7+djBtX7RhfYomyKwMAAAAAZsGYFJgfe+2V3HlnMnZsdWPNN94ouyIAAAAAYBaE4TC/+vVLRo+uBuE9eyYvvFB2RQAAAADAJwjDoSF87WvV7vBFF0022ih5+OGyKwIAAAAAZiAMh4byxS8mY8YkX/1qtVt85MiyKwIAAAAA/o8wHBrSkksmd9+dbL998q1vJZdeWnZFAAAAAECSNmUXADVn4YWTX/0qWXHF5LvfTV59NTnrrKSV354AAAAAoCzCcGgMRfB94YVJ587JMcck//xnMnRo0q5d2ZUBAAAAQIskDIfGdNRR1Q7xffZJxo2rzhFv377sqgAAAACgxTG3ARrbrrsm99yTPPFE0rdvNRSfC3O5fL7PAwAAAIBaJAyHBWHjjZPRo5O330422ih54YU5Ou2WW5JVV62OHJ86dc7eqlg3eHDSpUty663zVzYAAAAA1AphOCwo3bsnY8cmiy6a9OqVPPLI555STFWZPDk56aRk7bWTMWNmv77I23v0SE4+OZkypXo+AAAAACAMhwWr2FCzSKzXXDP5xjeS226b7fJiz81hw5JllkmefTbp0ycZODCZMGHmdcXz4ngxheW555JOnarnXX11434cAAAAAGguhOGwoHXsWJ0hvtVWyY47zjaxrqtL9twzef75athdGDKkmqUPH57U11dD765dq8cLxboiEC/OK84HAAAAAJK6+voiTmNGkyZNSocOHTJx4sS0b9++7HKoVR99lBx+eHLZZckPf1idbfI56XUxJuXgg6td4p/UrVtyxRVJ796NVzIAAAAANNcsV2c4lKV16+TSS5Mzz0xOPTU59NBqQD4bRdD91FPVDTJnVGywWRwXhAMAAADArAnDoUxFJ3ixO2YxKqWYc/KtbyX/+c9sT2nXLjnxxKR//+rz4n7QoOpxAAAAAGDWhOHQFOy/f/Lb31ZniW+22ad3yJyF1Vab+R4AAAAA+GzCcGgqttkmGTUqeeGF6ryTV14puyIAAAAAqBnCcGhKNtggefjh6qiUnj2TP/6x7IoAAAAAoCYIw6Gp+fKXk7Fjk2WXrXaI339/2RUBAAAAQLMnDIemaLnlqiH4euslW26Z3Hhj2RUBAAAAQLMmDIemqn375I47kp13TnbbLfnJT8quCAAAAACarTZlFwDMRrt2ybXXJssvnxxxRPL668nZZyd1dWVXBgAAAADNijAcmrpWrZILLkhWXDE5+uhqIH711Unall0ZAAAAADQbwnBoQOPGVZu4G+W8o46qLhowIHnzzez3g9+kZ88lsvrq81otAAAAALQcZoZDA7nllmTVVZOzzkqmTp2zc4p1gwcnXbokt946Byfsvnty553J2LH5ync3zU693kz37vNbOQAAAADUPmE4NJCRI5PJk5OTTkrWXjsZM2b260ePTnr0SE4+OZkypXr+HOnXL3nwweS115KNNkr+9reGKB8AAAAAapowHBrI0KHJsGHJMsskzz6b9OmTDByYTJgw87rieXG8b9/kueeSTp2q51XGgM+pIkUfOzZp0ybp1St54omG/jgAAAAAUFOE4dBA6uqSPfdMnn++GnYXhgxJ1lwzGT48qa+vht5du1aPF4p1RSBenFecP1dWWaXafl7cb7JJ8rvfNfhnAgAAAIBaUVdfX0R0zGjSpEnp0KFDJk6cmPbt25ddDs1UkVMffHC1S/yTunVLrrgi6d27Ad7o/feTXXZJ7r03+fnPq8k6AAAAALQAk+Yiy9UZDo2kCLqfeqq6QeaMig02i+MNEoQXFlss+e1vqyH4XnslF17YQBcGAAAAgNrRpuwCoJa1a5eceGLy+OPVDTL7908GDWqEN2rbNrnmmmS55ZJjjknGjUvOPTdp5fcuAAAAACgIw2EBWG21me8bRTF0/JxzkuWXT448MnnjjequnkVQDgAAAAAtnDAcas0RRyTLLpsMGJC89Vbym98kiy9edlUAAAAAUCozFKAW7b57cuedycMPJ5tumowfX3ZFAAAAAFAqYTjUqn79kgceSF59NenVK/nHP8quCAAAAABKIwyHWrb22tXu8MJGGyVPPVV2RQAAAABQCmE41LpVV00eeihZaaVk442T++4ruyIAAAAAWOCE4dASdOqU3H9/0rNnstVWyQ03lF0RAAAAACxQwnBoKRZfPLn11mTXXVO/xx7JT34y15cYN65RKgMAAACARicMhwVgwIBkxIjqfanatcstO/8yP251dHLEEfno+4OS+vrPPW3q1GTw4KRLl2qeDgAAAADNTZuyC4CWoHv36q0pGPnbVvn5Rxfk1SyfH51/bN7847gse8tVSdu2s1w/enRy8MHJc8/93/kjk+22W7A1AwAAAMD80hkOLczQocmwYcm1yxyTvXJdOt41LM+stmMmvPr+TOsmTEgGDkz69q0G4cXY8eK8q68urXQAAAAAmGfCcGhh6uqSPfdMnn8+WWzgXtkmt2fVVx/Ii6v2y4gr3q5MTSlC765dkyFDqucUoXgRiBfnFecDAAAAQHNTV18/BwODW5hJkyalQ4cOmThxYtq3b192OdCoxoxJfjLg8fz0xa0zIR2zVe7Ky1ml8lq3bskVVyS9e5ddJQAAAADMX5arMxxauCLovu75dTPi6IfTNh/m4WyUr+aPOeus5KmnBOEAAAAA1AZhOJB27ZJDf/SlDP7mQ3kzy2Zs274Z1GdM5TgAAAAA1AJhODDdUl9ZLpvk/ryxXI9k882TW24puyQAAAAAaBDCcGAmk9IhV3/rzmTrrZP+/ZOhQ8suCQAAAADmmzAc+JT/tlk4+fWvk4EDkwMOSM4+O7HXLgAAAADNWJuyCwCaqNatk8suS5ZbLjnxxOTNN5MLL0xa+Q0NAAAAgOZHGA58trq65PTTk06dku9+N3nrreSaa6o7bgIAAABAMyIMBz7fd76TLLNMsvfeydtvJyNGJIsvXnZVAAAAADDHzDsA5swuuyR33pmMHZt84xvVLnEAAAAAaCaE4cCcK0Lw++9PXn456d27eg8AAAAAzYAwHJhuwIDqBJTi/jN9/evJQw8l//1vstFGyZ/+tAArBAAAAIB5IwwHpuvePdlpp+r9bH3pS9VAvJgj3qdPMmbMAqoQAAAAAOaNMByYN8stlzzwQLLWWsnmmye33lp2RQAAAADwmYThwLzr0CG5665k662T/v2Ta64puyIAAAAAmCVhODB/Fl44+fWvkwMOSPbfPzn33KS+vuyqAAAAAGAmbWZ+CjAPWrdOLr88WXbZ5IQTkjffTC64IGnl9zYAAAAAmgZhONAw6uqSH/6wGogffngyfnwydGjSrl3ZlQEAAACAMBxoYIcdliyzTLL33snbbye/+U2y+OJlVwUAAABAC2eGAdDwdt01ufPO5KGHkn79qqE4AAAAAJRIGA40jiIEv//+5MUXk969k1deKbsiAAAAAFqwJhGGX3rppVlllVWy8MILZ4MNNshjjz32mWuvuuqq9OnTJ0suuWTlttlmm812/SGHHJK6urpcfPHFjVQ98JnWWafaHT5lSrLRRsmf/1x2RQAAAAC0UKWH4TfccEOOPvronHbaaXnyySez1lprZcstt8z4YvO9Wbj//vuzxx57ZNSoURk7dmw6d+6cLbbYIq+99tqn1o4cOTKPPPJIVlhhhQXwSYBZWn315OGHk6WWSvr0qT4GAAAAgJYWhl944YUZOHBgvv3tb6dbt265/PLLs+iii2bo0KGzXD9s2LB85zvfSY8ePdK1a9cMGTIkH3/8cX7/+9/PtK4Ixw8//PDK+rZt2y6gTwPM0vLLJw8+mHTvnmy2WXLbbWVXBAAAAEALU2oYPnXq1DzxxBOVUSfTC2rVqvK86PqeEx988EE+/PDDdOzYcfqxIhzfZ599ctxxx+UrX/nK515jypQpmTRp0kw3oIF16JDcfXey1VbJjjsmP/952RUBAAAA0IKUGoa//fbb+eijj7LsssvOdLx4/sYbb8zRNY4//vjKGJQZA/Vzzz03bdq0yfe+9705usbZZ5+dDh06TL8Vo1eARrDwwsmNNyb77598+9vJeecl9fVlVwUAAABAC9Amzdg555yT66+/vjJHvNh8s1B0mv/4xz+uzB8vNs6cE4MGDarMLZ+m6AwXiEMjad06ueKKZLnlil+zkjffTM4/v/hrIWVXBgAAAEANKzUMX3rppdO6deu8WYRhMyieL1cEZbNxwQUXVMLwe++9N1/72temHx89enRl880vfvGL048V3efHHHNMLr744rz00kufutZCCy1UuQELSPFD1Q9/mHTqlBR/g6PYMLfYJ8B8fwAAAAAaSamtmO3atcs666wz0+aX0zbD7Nmz52eed9555+WMM87IXXfdlXXXXXem14pZ4c8880yefvrp6bdijEoxP/zuYl4x0HR897vJr36V3HBDsv32yfvvl10RAAAAADWq9DEpxXiSfffdtxJqr7/++pXu7ffffz/fLuYJJxkwYEBWXHHFylzvafPATz311AwfPjyrrLLK9Nniiy++eOW21FJLVW4zatu2baXTfI011ijhEwKztdtuSfGf2f79k379kttvrz4HAAAAgFoKw3fbbbe89dZblYC7CLZ79OhR6fietqnmK6+8klYzzBK+7LLLMnXq1Oy8884zXee0007L6aefvsDrBxpAsQHuqFHJ1lsnvXsnxd/imGHUEQAAAADMr7r6+vr6+b5KjSk20OzQoUMmTpyY9u3bl10OtBx//WuyxRbJf/9bDcS7dSu7IgAAAABqJMstdWY4wExWXz156KGkY8dqh/jYsWVXBAAAAECNEIYDTcsKKyQPPJB07/6/GeIAAAAAMJ+E4UDT84UvJHfdlWy5ZbLDDskvf1l2RQAAAAA0c8JwoGlaZJHkxhuTb3872Xff5Pzzy64IAAAAgGasTdkFAHymNm2SK69Mll02+f73kzffTM47L2nldzwAAAAA5o4wHGja6uqSM8+sBuJHHJGMH59cfXXStm3ZlQEAAADQjAjDgebh8MOTZZZJBgxI3nmnOkJl0UXLrgoAAACAZsKsAaD52H335PbbkwceSDbfPHn33bIrAgAAAKCZEIYDzUsRgt93X/LCC0nfvsnrr5ddEQAAAADNgDAcaH7WXz8ZPTr517+SXr2Sv/617IoAAAAAaOKE4UDztOaaycMPJwsvnPTunTz1VNkVAQAAANCECcOB5qtz52qH+MorJxtvnNx/f9kVAQAAANBECcOB5m3ppZPf/z7ZYINkq62Sm28uuyIAAAAAmiBhOND8LbFEctttyfbbJ9/6VjJ0aNkVAQAAANDECMOB2rDQQsmvfpUcdFBywAHJeeeVXREAAAAATUibsgsAaDCtWyc/+1myzDLJ8ccnb71VDcXr6squDAAAAICSCcOB2lIE3z/8YXWW+BFHJG+/nVx1VdLGf90BAAAAtGTSIaA2fe97yVJLJfvtl0yYkFx/fbLIImVXBQAAAEBJzAwHatdeeyW33JL87nfJVlslEyeWXREAAAAAJRGGA7Xtm99M7r03eeaZZJNNkjffLLsiAAAAAEogDAdq30YbJQ8+WA3Ce/VK/vGPsisCAAAAYAEThgMtQ/fuycMPVzfYLALxolMcAAAAgBZDGA60HKuskowZkyy/fLLxxtXHAAAAALQIwnCgZVl22WTUqGSttZLNN09uv73sigAAAABYAIThQMvToUNy113JVlslO+yQXHtt2RUBAAAA0MiE4UCTNG5cI5+38MLJjTcm++2XDBiQXHzxvL0hAAAAAM2CMBxocm65JVl11eSss5KpU+fsnGLd4MFJly7JrbfO4Ru1aZNcdVVy/PHJUUclJ52U1NfPT+kAAAAANFHCcKDJGTkymTy5mk2vvfbn73M5enTSo0dy8snJlCnV8+dYXV1yzjnJ+edX0/dDDkk++mh+PwIAAAAATYwwHGhyhg5Nhg1LllkmefbZpE+fZODAZMKEmdcVz4vjffsmzz2XdOpUPe/qq+fhTY89NrnmmurJu+1WTdUBAAAAqBnCcKDJKZq199wzef75athdGDIkWXPNZPjw6iSTIvTu2rV6vFCsKwLx4rzi/HlSzA+/6abkttuSrbdO/v3vBvtMAAAAAJSrrr7egNxPmjRpUjp06JCJEyemffv2ZZcDLV4xJuXgg6td4p/UrVtyxRVJ794N+IYPPphst12y+urJnXdWW9QBAAAAaNZZrs5woMkrgu6nnqpukDmjYsR3cbxBg/BCMXflgQeSf/6zevGXX27gNwAAAABgQROGA81Cu3bJiScm/ftXnxf3gwZVjzeKYkfOhx5KPvww6dVr1m3pAAAAADQbwnCgWVlttZnvG/3NikC8Y8fqLp6PPLIA3hQAAACAxiAMB5id5Zevjkwpdu/s1y+5++6yKwIAAABgHgjDAT7Pkksm99yTbLppdWPN668vuyIAAAAA5pIwHGBOLLpoMnJksvvuyZ57Jj/7WdkVAQAAADAX2szNYoAWrW3b5Oc/T5ZeOjnssGT8+OS005K6urIrAwAAAOBzCMMB5karVsmPfpQss0xy4onJ228nP/lJ9TgAAAAATZYwHGBuFZ3ggwYlSy2VHHpo8s47yS9+kbRrV3ZlAAAAAHwGYTjAvDrooGogXswQf/fdZMSIZLHFyq4KAAAAgFnw9/qBZmXAgGrmXNw3Cd/6VnLnnclDDyX9+lW7xAEAAABocurq6+vryy6iqZk0aVI6dOiQiRMnpn379mWXAzQHjz+efPOb1Vni99yTrLRS2RUBAAAA1LxJc5Hl6gwHaAjrrpuMGZO8/37Sq1fywgtlVwQAAADADIThAA1ljTWq41KKueF9+iRPPll2RQAAAAD8H2E4QEMqxqOMHp106ZJsskly//1lVwQAAACAMBygESy1VPL73yfrr59stVVyyy1lVwQAAADQ4gnDARrD4osnt9+ebLttstNOyS9/WXZFAAAAAC2aMBxgHo0b9zkLFlooueGG5NvfTvbdN7noojk7DwAAAIAGJwwHmAfF5JNVV03OOiuZOnU2C1u3Tq68Mjn++OToozNmk5PTZZX63HrrAiwWAAAAAGE4wLwYOTKZPDk56aRk7bWTMWNms7iuLqO3OScXdDo3vR8YnAunHpabR3y0AKsFAAAAQBgOMA+GDk2GDUuWWSZ59tmkT59k4MBkwoSZ1xXPi+N9+ybHjf9+jlpiSA6puyJDJu/1OS3lAAAAADQkYTjAPKirS/bcM3n++WrYXRgyJFlzzWT48KS+vhqWd+1aPV4o1p3y0gFp9ZsbU1e0lu+wQ/L++6V+DgAAAICWoq6+vohsmNGkSZPSoUOHTJw4Me3bty+7HKAZKMakHHxwtUv8k7p1S664Iunde4aD996b7LhjstZayW23JUsuuSDLBQAAAGhxWa7OcIAGUATdTz2VDB488/Fig83i+ExBeGGzzZL77kteeKE6Q2XcuAVZLgAAAECLIwwHaCDt2iUnnpj07199XtwPGlQ9Pkvrr5+MHp28+27Sq1fy978vyHIBAAAAWhRhOEADW221me9nqxgy/tBDSZs21fbxZ55p7PIAAAAAWiRhOEDZVl65OnR8+eWTjTeuhuMAAAAANChhOEBT0KlTMmpU8rWvJZtvntx1V9kVAQAAANQUYThAU9GhQzUELzbX3G675Prry64IAAAAoGYIwwGakkUWSUaMSPbYI9lzz+Syy8quCAAAAKAmtCm7AAA+oW3b5Oc/T5ZaKvnOd5J33klOOimpqyu7MgAAAIBmSxgO0BS1apVceGE1ED/llGog/qMfVY8DAAAAMNeE4QBNVdEJfvLJ1UD8sMOSCROSIUOqneMAAAAAzBVhOEADGzAg6dkzWX31BrrgoYcmX/hC9cLvvpvccEN1tjgAAAAAc0wYDtDAunev3hpUsaHmkksmO+2UbLVVcsstSYcODfwmAAAAALXL8FmA5qIIwX/3u+SZZ5JNN03Gjy+7IgAAAIBmQxgO0Jz06pU88EAyblzSu3fy8stlVwQAAADQLAjDAZqbr30tGTMm+eijajj+7LNlVwQAAADQ5AnDAZqj1VarBuIdOyZ9+yaPPVZ2RQAAAABNmjAcoLlafvnqyJQvfzn5xjeS3/++7IoAAAAAmixhOEBztuSS1U01+/RJtt46uemmsisCAAAAaJKE4QDN3WKLJb/9bbLTTskuuyRXX112RQAAAABNTpuyCwCgAbRrl1x3XbVT/MADkwkTkuOOK7sqAAAAgCZDGA5QK1q3Ti69NFlqqeT730/eeSc5++ykrq7sygAAAABKJwwHqCVF8H3GGdVA/KijqoH45ZdXg3IAAACAFkwYDlCLjjwy/2rVMV84ev/k3XeTYcOShRaao1PHjUuWX77RKwQAAABYoGygCVCDbrklWf74Ablxj5tSf9ttybbbJu+9N9tzpk5NBg9OunRJbr11gZUKAAAAsEAIwwFq0MiRyeTJya7XbZ/9lrs7/3340aRfv+rYlFkYPTrp0SM5+eRkypTq+QAAAAC1RBgOUIOGDq1ORllmmeSXL2+c9T+4P5OeeTH/7dU3ee216esmTEgGDkz69k2eey7p1Kl63tVXl1o+AAAAQIMThgPU6D6ae+6ZPP98Nex+Kl/PupPHZNxf38t7PXql/i9/rYTeXbsmQ4ZUzynWFYF4cV5xPgAAAEAtEYYD1LCOHZMrr6yOQWnb7cvp+fFDefXtRTJ+jd45f++n89ZbSbdu1deLdcV6AAAAgFokDAdoAXr3Tp56KvnO4JXSJ6PzSr6Y+7NJfnnQmMrx4nUAAACAWiYMB2gh2rVLTjwx6dt/6Xwj9+XVpb+efa7dIu3uvaPs0gAAAAAanTAcoIVZbbXkvSyR4XvfkWyxRbLDDsmvflV2WQAAAACNShgO0EL9t83CyW9+k+y1V/V22WVllwQAAADQaNo03qUBaPLatEmGDk2+8IXkO99JJkyozlKpqyu7MgAAAIAGJQwHaOlatUouuihZaqnk5JOrgfgFFwjEAQAAgJoiDAegGnyfckrSsWPy3e8m776bXHlltXMcAAAAoAZIOQD4n8MOq45M2Xff5F//SoYPTxZeuOyqAAAAAOabDTQBmFmxmebNNyd33plss03y73+XXREAAADAfBOGA/Bp226b3H138vjjSb9+yTvvlF0RAAAAQPMPwy+99NKsssoqWXjhhbPBBhvkscce+8y1V111Vfr06ZMll1yycttss81mWv/hhx/m+OOPT/fu3bPYYotlhRVWyIABA/L6668voE8D0LQNGJCMGFG9n62+fZNRo5KXXqo+fu21BVQhAAAAQA2G4TfccEOOPvronHbaaXnyySez1lprZcstt8z48eNnuf7+++/PHnvskVGjRmXs2LHp3Llztthii7z2fyHNBx98ULnOKaecUrm/6aab8sILL2T77bdfwJ8MoGnq3j3Zaafq/ef6+teTMWOS995LevVK/va3BVAhAAAAQMOrq6+vr0+Jik7w9dZbLz/96U8rzz/++ONKwH344YfnhBNO+NzzP/roo0qHeHF+0QE+K//v//2/rL/++nn55ZfzxS9+8VOvT5kypXKbZtKkSZUaJk6cmPbt28/X5wOoCa++mmyxRfLuu9XxKWutVXZFAAAAACmy3A4dOsxRlltqZ/jUqVPzxBNPVEadTC+oVavK86Lre04UneDFaJSOHTt+5prii6irq8sXvvCFWb5+9tlnV76wabciCAdgBsV/Lz74YLLSSsnGGycPPVR2RQAAAABzpdQw/O233650di+77LIzHS+ev/HGG3N0jWI+eDEXfMZAfUaTJ0+urClGq3zWLwODBg2qBObTbq8WHZAAzGyZZZL77kt69Eg23zy5886yKwIAAABoPjPD58c555yT66+/PiNHjqxsvvlJRcf4rrvummISzGWXXfaZ11looYUqQfmMNwBmofjvxyIEL8LwYi+G668vuyIAAACAph+GL7300mndunXefPPNmY4Xz5dbbrnZnnvBBRdUwvB77rknX/va1z4zCC/mhP/ud78TcAM0lEUWSUaMSPbcs3q7/PKyKwIAAABo2mF4u3btss466+T3v//99GPFBprF8549e37meeedd17OOOOM3HXXXVl33XU/Mwj/61//mnvvvTdLLbVUo30GgBapTZvkmmuSww9PDj202HwhKXc/ZgAAAIDZapOSHX300dl3330rofb666+fiy++OO+//36+/e1vV14fMGBAVlxxxcoml4Vzzz03p556aoYPH55VVlll+mzxxRdfvHIrgvCdd945Tz75ZG677bbKTPJpa4pNNosAHoAG0KpVcvHFSfGD44knJu+8k5x/flJXV3ZlAAAAAE0vDN9tt93y1ltvVQLuIrTu0aNHpeN72qaar7zySloVgcv/KWZ/T506tRJ4z+i0007L6aefntdeey233HJL5VhxrRmNGjUqm2yyyQL5XAAtQhF8n3pqsuSSyfe+l7z7bnLFFdXOcQAAAIAmpK6+2F2SmUyaNCkdOnTIxIkTzRoHmFPXXZfst1+yww7J8OHF7sRlVwQAAADUuElzkeWWOjMcgBqy997JyJHJHXck22yTvPde2RUBAAAATCcMB6DhbLddctddyWOPJZttVp0jDgAAANAECMMBaFgbb5zcf3/yj38kffsmr71WdkUAAAAAwnAAGsHXv56MHp38+99J797J3/5WdkUAAABACycMB6BxrLFGMmZMdSPNIhB/5pmyKwIAAABaMGE4AI3ni1+sdoivuGJ1fMrDD5ddEQAAANBCCcMBaFzLLJOMGpWstVZ1U81ig00AAACABUwYDkDja98+ufPOahi+/fbJDTeUXREAAADQwgjDAVgwFlkkGTEi2W231O+xR3LFFXN9iXHjGqUyAAAAoAUQhgOw4LRtm1u+9Ytc1uq7ySGH5L+Dz0nq6z/3tKlTk8GDky5dkltvXSCVAgAAADVGGA7AAjXyt61y2Ec/zmk5PW1OHpR/7nX8bAPxYv/NHj2Sk09OpkxJRo5coOUCAAAANUIYDsACNXRoMmxYXS5b5rR8Lz/OSr86P6O7DsyEtz6aad2ECcnAgUnfvslzzyWdOhXnJVdfXVrpAAAAQDMmDAdggaqrS/bcM3n++WTywO9ln/wyPf/y8zzUebdc/4splSbxIvTu2jUZMqR6ThGKF4F4cV5xPgAAAMDcqquvn4NhrS3MpEmT0qFDh0ycODHt27cvuxyAmjZmTPKrPW/Nj17dJaPTJ/0zMu9n8cpr3bpV99ns3bvsKgEAAIDmnuXqDAegVEXQfdHftstvDrgrG+TR3JvNsmQm5KyzkqeeEoQDAAAADUMYDkDp2rVL9h6ySX64yaislr/n6SX6ZtC+r1eOAwAAADQEYTgATUbduuukT0anfSZWW8L//veySwIAAABqhDAcgCblhXTNpXs8lLRtWw3E//jHsksCAAAAaoAwHIAm51/tv5iMHp0sv3zSt28ydmzZJQEAAADNnDAcgKapU6dk1Kike/dks82Se+4puyIAAACgGROGA9B0deiQ3H13summybbbJjfeWHZFAAAAQDMlDAegaVtkkWTkyGSXXZLdd0+GDCm7IgAAAKAZalN2AQDwuYrNNK+9NllyyWTgwGTChOT73y+7KgAAAKAZEYYD0Dy0apVccknSsWNy/PHVQPzss5O6urIrAwAAAJoBYTgATcaAAUnPnsnqq3/GgiL4/uEPqx3iRx+dvPtu8rOfJa1bL+BKAQAAgOZGGA5Ak9G9e/X2uY46qhqIH3BA8q9/VUeotGu3ACoEAAAAmisbaALQPO23XzJiRHLzzcn22yfvv192RQAAAEATJgwHoPnaccfkjjuSMWOSLbaojk0BAAAAmAVhOADNW79+yX33Jc8/n2y8cfLGG2VXBAAAADRBwnAAmr/1108efDB5552kd+/kxRfLrggAAABoYoThANSGr3wleeih6uMiEP/zn8uuCAAAAGhChOEA1I5VVqnOD1966aRv3+TRR8uuCAAAAGgihOEA1Jbllkvuvz/p2rU6T/zee8uuCAAAAGgChOEA1J4ll0zuuSfp0yfZZpvkppvKrggAAAAomTAcgNq02GLJb3+b9O+f7LJLMnRo2RUBAAAAJWpT5psDQKNq1y4ZNiz5wheSAw5I3n03OeaYsqsCAAAASiAMB6C2tW6dXHZZstRSybHHJhMmJGeemdTVlV0ZAAAAsAAJwwGofUXwPXhw0rFjNRB/553k0kurQTkAAADQIgjDAWg5ihEpxeaaAwcm//pX8stfVkepAAAAADXPBpoANGvjxs3lCfvvn9x4Y+pHjkx22CH54INGqgwAAABoSoThADRbt9ySrLpqctZZydSpc3ZOsW7wcztlm/rb89/7Ryebb17dWBMAAACoacJwAJqtorl78uTkpJOStddOxoyZ/frRo5MePZKTT07u/HCznLPZ75Pnn0822SR5440FVTYAAADQVMPwSZMmzfENABaUoUOTYcOSZZZJnn026dOnOg58woSZ1xXPi+N9+ybPPZd06lQ976RbNkgefDB5++2kd+/kxRfL+igAAABAI6urr6+v/7xFrVq1Sl1d3WzXFJcp1nz00Udp7opQv0OHDpk4cWLat29fdjkAfI4i7D7hhOSqq6rPi7D7oouSPfZIhg9Pjjoqeeut6mtFKH7OOUnHjjNc4KWXks02q84Pv+ee5KtfLeVzAAAAAI2X5c5RGP7AAw/M8ZtvvPHGae6E4QDNUzEm5eCDq13in9StW3LFFdUG8FkqxqRsuWXy6qvJnXcmG2zQ2OUCAAAATS0Mb2mE4QDNV7FB5gUXVOeIT1NssHnMMUm7drM/943n/5XlDtw2efrp5Oabq93ic2DcuGT55eezcAAAAKBRs9x52kDzX//6V370ox/lwAMPrNwuuuiiypsBQNmKwPvEE5P+/avPi/tBgz4/CL/llqTL2l/IeZvdk49790222SYZMeJzg/fBg5MuXZJbb23ADwEAAAA0uLkOwx9//PGsttpqlQB8woQJlduFF15YOfbkk082fIUAMA9WW23m+88zcmQyeXJy/A8WzddfuTlv9dkp2XXX5OqrZ7l+9OikR4/k5JOTKVOq5wMAAAA1FIYfddRR2X777fPSSy/lpptuqtxefPHFbLvttjnyyCMbp0oAaGRDhybDhiXLLJP84bl2We731+X+Lx+UHHhgde7KDJt1Fptw9u2bPPdcdbPO4rzPyMwBAACA5twZfvzxx6dNmzbTjxWPv//971deA4DmqK4u2XPP5Pnnq2H3x2mdTZ//WS5a9KTkuONSf8KgDLuuPl27JkOGVM8p1hWBeHFecT4AAABQQ2F4MYT8lVde+dTxV199NUsssURD1QUApejYMbnyyuoYlG7d6nL0B2fm6Pwodeeek/f2OSTvvPVRunWrvl6sK9YDAAAATd//2rvn0G677ZYDDjggF1xwQTbaaKPKsYceeijHHXdc9thjj8aoEQAWuN69k6eeqk5IOemko/NulsyQHJi+X303qz18bdotsVDZJQIAAACNGYYXIXhdXV0GDBiQ//73v5Vjbdu2zaGHHppzzjlnbi8HAE1Wu3bJiScWI8KSn4/8dtbYYMmc8PTuybe2S266KVl88bJLBAAAABprTEq7du3y4x//OO+++26efvrpym3ChAm56KKLstBCuuQAqD2rrVa9f6fPjsmddyaPPJJstlnyzjtllwYAAAA0Vhh+3XXX5YMPPsiiiy6a7t27V27FYwBoETbdNBk1Kvn735O+fZPXXiu7IgAAAKAxwvCjjjoqnTp1yp577pk77rgjH3300dxeAgAa3YAByYgR1fsGt846yZgxyb//nfTqlfz1r43wJgAAAECpYfi4ceNy/fXXV+aG77rrrll++eVz2GGH5eGHH27QwgBgfnTvnuy0U/W+UayxRrGDdLLIIv/bbRMAAAConTC8TZs22XbbbTNs2LCMHz++Miv8pZdeyqabbprVpg1VBYCWoHPnZPTo5ItfTDbZJHnwwbIrAgAAABoqDJ9RMSt8yy23zDe/+c2svvrqlVAcAFqUpZdO7rsvWXfdZMstk1tvLbsiAAAAoKHC8GIDzaIzfOutt86KK66Yiy++OP3798+f//znebkcADRvSyyR3H57stVWSf/+ybXXll0RAAAA8AltMpd233333HbbbZWu8GJm+CmnnJKePXvO7WUAoLYsvHBy443JwQdXd+2cMCE54oiyqwIAAADmNQxv3bp1fv3rX1fGoxSPAaDWFdl28bvv6qt/zsI2bZIhQ5KOHZMjj0zeeSf5wQ+SuroFVCkAAADQYGF4MR4FAFqS7t2rtzlSBN/nn1+dJX7CCdVA/JJLklbztU0HAAAAsKDDcABgDhx/fLVD/JBDqiNTfvGLpF27sqsCAACAFksYDgCNZeDAZMklk732SiZOTH7zm2TRRcuuCgAAAFokf2cbABrTzjsnt9+ePPhgsvnmybvvll0RAAAAtEjCcABobJttltx3X/L888nGGyfjxpVdEQAAALQ4czQmZdKkSXN8wfbt289PPQBQm9ZfPxk9Otlii6R37+R3v0tWXbXsqgAAAKDFmKMw/Atf+ELq6urm6IIfffTR/NYEALWpW7fkoYeq41J69Uruvjv52tfKrgoAAABahDkKw0eNGjX98UsvvZQTTjgh++23X3r27Fk5Nnbs2PziF7/I2Wef3XiVAkAtWHnlZMyYZKutqiNTbrutGowDAAAAjaquvr6+fm5O6NevXw488MDsscceMx0fPnx4rrzyytx///1p7oqxMB06dMjEiRONfQGgcUycmGy/ffL//l8yYkTyzW+WXREAAADUdJY71xtoFl3g66677qeOF8cee+yxub0cALRMHTokd91VHZlShOK/+lXZFQEAAEBNm+swvHPnzrnqqqs+dXzIkCGV1wCAObTIItWu8D33TPbaK/nZz8quCAAAAFr2zPAZXXTRRfnWt76VO++8MxtssEHlWNER/te//jUjiv9DDwDMuTZtkmuuSTp2TA47LHn77eSUU5I53LgaAAAAaKQwfOutt85f/vKXXHbZZXn++ecrx7bbbrsccsghOsMBYF60apVceGGy1FLVIPydd4pfn6vHAQAAgHI20GwJbKAJQGkuu6zaIV6MTRk6NGnbtuyKAAAAoGVuoFkYPXp09t5772y00UZ57bXXKseuvfbajBkzZt4qBgCqDj00GT48uf76ZKedkv/8p+yKAAAAoCbMdRhezAXfcssts8gii+TJJ5/MlClTKseL5P2ss85qjBoBoGXZfffk1luT++5Lttwy+de/yq4IAAAAWl4YfuaZZ+byyy/PVVddlbYz/NXtXr16VcJxAKABbLVV8rvfJX/8Y7LJJsmbb5ZdEQAAALSsMPyFF15I3759P3W8mMvyL51rANBwNtooefDBZPz4pHfv5KWXyq4IAAAAWk4Yvtxyy+Vvf/vbp44X88JXXXXVhqoLACh07178j2xS7Hfdq1fy5z+XXREAAAC0jDB84MCBOeKII/Loo4+mrq4ur7/+eoYNG5Zjjz02hxabfgEADav4sbkIxJdeOin+dtajj5ZdEQAAADQ7beb2hBNOOCEff/xx+vXrlw8++KAyMmWhhRaqhOGHH35441QJAC3dcsslDzyQbLtt0q9fMnJksvnmZVcFAAAAzUZdfX3x967n3tSpUyvjUt57771069Ytiy++eGrFpEmTKjPQJ06cmPbt25ddDgD8zwcfJLvsUt1cc9iw6mMAAABooSbNRZY7153h07Rr164SggMAC9CiiyY335zst1+y227Ju+8mBx1UdlUAAADQ5M1RGL7TTjvl5z//eSVZLx7Pzk033dRQtQEAs9K2bXLttUnHjsnBBydvv50MGpTU1ZVdGQAAADTvMLxoMy82y5z2GABYsMaNS5ZffoYDrVolP/lJdVPNk05Kxo9PLrywenx25wEAAEALNc8zw2uZmeEANCW33FKdiHLKKcmxxxajyj6x4Gc/S7773WSPPZJrrqksmDo1Of/85IwzkhtvTLbbrqTiAQAAoIlkuTO3jwEATc7IkcnkydUG8LXXTsaM+cSC73wnuf76auq9ww556J7306NHcvLJyZQp1fMBAACgpZujzvC11157+piUz/Pkk0+mudMZDkBTUvwv9a9+lRx5ZPLWW9VjBx6YnHtudWz4NJNuujftdtsxT/23e7bJ7WnbqWMuuqjaMG6cOAAAALVobrLcOZoZvuOOOzZUbQDAXCqC7D33TLbaKjnhhOSqq5IhQ6rjU6aF3cOHJ0cdtVlW/u+o3JGt86cv9Mki996dJbuvVHb5AAAA0CQ0iZnhl156ac4///y88cYbWWuttXLJJZdk/fXXn+Xaq666Kr/85S/zpz/9qfJ8nXXWyVlnnTXT+uIjnXbaaZW1//rXv9KrV69cdtllWX311eeoHp3hADRlxZiUgw9Onn32069165b88qQXss6gLaot5ffck3TtWkaZAAAAUBszwx9//PFce+21ldsTTzwxr5fJDTfckKOPProSXhcjVoowfMstt8z48eNnuf7+++/PHnvskVGjRmXs2LHp3Llztthii7z22mvT15x33nn5yU9+kssvvzyPPvpoFltssco1JxcDVwGgmevdO3nqqWTw4JmPn3VW9fg6e66RPPxwUvxLQLH4scfKKhUAAACab2f4P//5z0oY/dBDD+ULX/hC5VjRfb3RRhvl+uuvz0orzd1fx95ggw2y3nrr5ac//Wnl+ccff1wJuA8//PCcUPxd8M/x0UcfZckll6ycP2DAgEpX+AorrJBjjjkmxx57bGVN8avAsssum5///OfZfffdP/eaOsMBaC522qm6QWb//slNN33ixQkTkm23TZ55prpo881LqhIAAACaYWf4gQcemA8//DDPPfdcJkyYULkVj4sQu3htbkydOrXSVb7ZZpv9r6BWrSrPi67vOfHBBx9U6un4fzuIvfjii5VxKzNes/gyitD9s645ZcqUypc24w0AmoPVVpv5fibF/zbee2+y8cbJNtsUfx1rQZcHAAAATcZch+EPPPBAZf72GmusMf1Y8biY8/3ggw/O1bXefvvtSmd30bU9o+J5EWjPieOPP77SCT4t/J523txc8+yzz64E5tNuRWc6ANSERRdNbr452W236k6bl15adkUAAADQPMLwIiguOrE/qQi1i1B6QTrnnHMqo1lGjhyZhRdeeJ6vM2jQoEob/bTbq6++2qB1AkCp2rZNfvGL5Mgjk+9+NznttOrmmgAAANCCzHUYfv7551fmeRcbaE5TPD7iiCNywQUXzNW1ll566bRu3TpvvvnmTMeL58stt9xszy3eqwjD77nnnnzta1+bfnzaeXNzzYUWWqgyT2bGGwDUlFatkh/9qPglOfnhD5PDDit+yS67KgAAAGi6Yfh+++2Xp59+ujKDuwiRi1vx+Mknn8z+++9fmd097fZ52rVrl3XWWSe///3vpx8rZo8Xz3v27PmZ55133nk544wzctddd2Xddded6bUuXbpUQu8Zr1nMAH/00Udne00AqHl1dcV8sWTIkOSKK6pjU6ZMKbsqAAAAWCDazO0JF198cYMWcPTRR2ffffethNrrr79+5frvv/9+vv3tb1deHzBgQFZcccXKXO/Cueeem1NPPTXDhw/PKqusMn0O+OKLL1651dXV5cgjj8yZZ56Z1VdfvRKOn3LKKZURLjvuuGOD1g4AzdIBByRLLZXsvnt1Y82RI5Mllii7KgAAAGhaYXgRXDek3XbbLW+99VYl4C6C7R49elQ6vqdtgPnKK6+kVfFXu/9PsXnn1KlTs/POO890ndNOOy2nn3565fH3v//9SqB+0EEH5V//+ld69+5dueb8zBUHgJpS/EB8993J9tsnm26a3HlnsswyZVcFAAAAjaauvn7edtAaP3585VaMNZnRjPO7m6tirEqHDh0qm2maHw5AU3bcccU+Gsmxxxb7eszDBZ5+Otlqq6RDh2o4vsoqjVAlAAAAlJ/lznVn+BNPPFHpDn/uuefyyRy9GFHykc24AGCBGTAgKbbEWH31ebxAjx7JQw8lW2yR9OpVDcS/+tUGrhIAAACaYWf4WmutldVWWy3HH398ZZRJEYDPaOWVV05zpzMcgBan2IOj6BB/+eXkttuqwTgAAAC05M7wf/zjHxkxYkS+9KUvzU+NAEBTstxyyQMPVGeIb755cuON1c01AQAAoEb8b2fKOdSvX7/84Q9/aJxqAIDyTJsbvuWWyQ47JL/8ZdkVAQAAQIOZ687wIUOGVGaG/+lPf8pXv/rVtG3bdqbXty86ygCA5mnhhatd4Ycckuy7b/L228nRR5ddFQAAACz4MHzs2LF56KGHcuedd37qNRtoAkANaNMmueqqpFOn5JhjkvHjk7PPLv6HvuzKAAAAYMGNSTn88MOz9957Z9y4cfn4449nugnCAaBGFMH3WWclF16YnHtucuCByX//W3ZVAAAAsOA6w995550cddRRWXbZZef9XQGA5uGoo5Kll06+/e3iXwKSX/0qWWSRsqsCAACAxu8M32mnnTJq1Ki5fycAoHnaZ5/kt79N7rkn2WqrZOLEyuFx4+btcvN6HgAAACzQzvAvf/nLGTRoUMaMGZPu3bt/agPN733ve/NVEADQBG2zTXLvvdX7jTfO3UfdlR0PWS6nnJIce2zSrt3nX2Lq1OT885Mzzqju0bnddguicAAAAKiqq6+vr89c6NKly2e+Vmyg+Y9//CPN3aRJk9KhQ4dMnDgx7du3L7scAGg6/vSnZMstM/7fC6fnv+/JP7JaunVLrrgi6d37s08bPTo5+ODkueeqz4upK0OHLrCqAQAAqFFzk+XOdRjeEgjDAWA2Xn459VtskclvTsw2re7KqHd7VA4Xe2wWe2127Pi/pRMmJMcfnwwZUn3eqVNy0UXJHntU9+gEAACABZXlzvXMcACghVt55dSNGZNFVu+ce/+7cc7f9oHK4SLwXnPNZPjwpPipfdiwpGvX/wXhAwdWO8P33FMQDgAAwII3R53hRx99dM4444wstthilcezc+GFF6a50xkOAHPg3/9O+vdPxozJs6den12G7Zhnn/30sjkZowIAAACNneXO0QaaTz31VD788MPpj2c3MxwAaCGWWCK5/fZkn33S7ZRv5Q8/uzLnvXNATjrpf0vOOis55pg522ATAAAAGpOZ4bOgMxwA5sJHHyWHH55cdlly9tnZ6dHjM/LmukrT+E03lV0cAAAAtWxSQ3eGAwB8ptatk0svre6OOWhQjlxnfG7OBVltNVuTAAAA0HQIwwGA+VeMSjv99GSZZdL7u4fnF3krf/poaJK2ZVcGAAAAFVq2AICGc9hhGbbt9dktN2T/kdsl771XdkUAAABQIQwHABrUM113zVa5Kyu//nCy6abJ+PFllwQAAADCcACg4Y3KN3LZ7g8m//xnstFGyd//XnZJAAAAtHDCcACgUbzeqUfy8MNJq1bVQPyJJ8ouCQAAgBZMGA4ANJ4uXZKHHkpWWSXZZJPkd78ruyIAAABaKGE4ANC4llkmue++pG/fZOutk2HDyq4IAACAFqhN2QUAALVlwICkZ89k9dVnOLjYYsnNNycHHZTsvXfyxhvJMceUWCUAAAAtjTAcAGhQ3btXb5/Stm0ydGiy4orJsccmr72WXHBBdaY4AAAANDJhOACw4NTVJWeemSy/fHL44dUO8WuuSRZaqOzKAAAAqHHCcABgwTvssGTZZZO99krGj09uuilp377sqgAAAKhh/l4yAFCOnXdO7rknefzxZOONq13iAAAA0EiE4QBAeYoQfPToanf4Rhslf/lL2RUBAABQo4ThAEC5it02x46tzg3v1St57LGyKwIAAKAGCcMBgPJ98YvJmDHJ6qsnm26a3Hln2RUBAABQY4ThAEDTsNRSyb33Jpttlmy3XfKLX5RdEQAAADVEGA4ANB2LLpqMGJHsv3+y337JOeck9fVlVwUAAEANaFN2AQAAM2nTJrniimSFFZJBg5LXX08uuihp3brsygAAAGjGhOEAQNNTV5ecfnqy/PLJd76TvPFG8stfJgsvXHZlAAAANFPGpAAATdfBB1fHptx6a/LNbyYTJ5ZdEQAAAM2UMBwAaNp23DH53e+Sp59O+vatjk0BAACAuSQMBwCavt69kzFjkgkTkp49k+efn+WycePm7fLzeh4AAADNhzAcAGgevvKVZOzYZIklkl69qo9ncMstyaqrJmedlUydOmeXLNYNHpx06VKdxAIAAEDtEoYDAM3HSislo0dXg/F+/ZLbbpv+0siRyeTJyUknJWuvXW0kn53iMj16JCefnEyZUj0fAACA2iUMBwCalyWXTO6+O9lqq+o88auvrhweOjQZNixZZpnk2WeTPn2SgQOrk1VmVDwvjhfjx597LunUqXre/10GAACAGiUMBwCan0UWSW68MTnooOTAA5Mzz0xd6rPnntVx4kXYXRgyJFlzzWT48KS+vhp6d+1aPV4o1hWBeHFeXV2pnwgAAIBGVldfX/xfQ2Y0adKkdOjQIRMnTkz79u3LLgcA+CzFv8YUQ8KLWSeHHJL89KdJ69aVl4oxKQcfXO0S/6Ru3ZIrrqjuywkAAEDLyHJ1hgMAzVfRzl0MCS9ava+6Ktlll+Q//6m8VATdTz1V3SBzRkV2XhwXhAMAALQswnAAoPk74IDk5puTu+5KttgieffdyuF27ZITT0z6968uK+4HDaoeBwAAoGURhgMAtWHbbZP77vvf7pmvvjr9pdVWm/keAACAlkcYDgDUjg03TB56KHnvvWSjjZI//7nsigAAAGgihOEAQG3p2jV5+OGkY8fqYPBiJ00AAABaPGE4AFB7VlghefDBpEePZPPN85W/3lx2RQAAAJRMGA4A1KYOHaobam63XQbc8q0cnMvLrggAAIASCcMBgNq10ELJ9dfnobW/m8tzaLYafWLy8cdlVwUAAEAJhOEAQG1r1Sq3bHpxjskF6ffo2ck++yRTppRdFQAAAAuYMBwAqH11dbkwx+Ta7X6djBiRbLll8u67ZVcFAADAAiQMBwBq3oAB1Qy8x+BdknvvTf74x6RXr+Tll8suDQAAgAVEGA4A1Lzu3ZOddqrep3fv5OGHk8mTkw03TJ54ouzyAAAAWACE4QBAy7PGGsnYsUnnzsnGGyd33FF2RQAAADQyYTgA0DItu2wyalTSr1+y/fbJlVeWXREAAACNSBgOALRciy2W3HRTcsghycEHJyeemHz8cdlVAQAA0AjaNMZFAQCajdatk0suSbp0SY49trqp5tChyUILlV0ZAAAADUgYDgBQV5ccc0zyxS8m++yTvPZaMnJksuSSZVcGAABAAzEmBQBgml12Se69N/njH5Nevapd4gAAANQEYTgAwIx6904efjiZPDnZcMPkiSfKrggAAIAGIAwHAPikNdZIxo5NOndONt44ueOOsisCAABgPgnDAQBmZdllk1Gjkn79ku23T668suyKAAAAmA/CcACAz7LYYslNNyWHHJIcfHBy4onJxx+XXRUAAADzoM28nAQA0GK0bp1ccknSpUty7LHVTTWHDk0WWqjsygAAAJgLwnAAgM9TV5ccc0x1hviAAclrryUjRyZLLll2ZQAAAMwhY1IAAObUrrsm996b/PGPSa9e1S5xAAAAmgVhOADA3OjdO3n44WTy5GTDDZMnnii7IgAAAOaAMBwAYG6tsUYydmx1bMrGGyd33FF2RQAAAHwOYTgAwLxYdtlk1KjkG99Itt8+ufLKsisCAABgNoThAADzarHFqhtpHnJIcvDByYknJh9/XHZVAAAAzEKbWR0EAGAOtW6dXHJJssoqyXHHVTfVHDo0WWihsisDAABgBjrDAQDmV11dcuyxyQ03JL/5TbLllsm771ZeGjdu3i45r+cBAAAwa8JwAICGsuuuyb33Js88k/Tqld8NeTmrrpqcdVYydeqcXaJYN3hw0qVLcuutjV0wAABAyyEMBwBoSH36JGPHJpMnZ73vbZhuk5/ISScla6+djBkz+1NHj0569EhOPjmZMqU6jhwAAICGIQwHAGhoa6xRCcQ7fLVzHllo4+ze/o48+2w1Jx84MJkwYeblxfPieN++yXPPJZ06JcOGJVdfXdYHAAAAqD3CcACAxrDssqkbNSptt/hGhr+/fX7Z+8rK4SFDkjXXTIYPT+rrq6F3167V44UiFC8C8T33rI4in8bscQAAgPkjDAcAaCyLLVaZdVJ3yCHZZ8zBeWXvE/OVNT/O+PHJXnslrVole++dvPVW0q1bdUzKlVcmHTvOfJlbbonZ4wAAAPNJGA4A0Jhat04uuSQ5//x0vu7s/GGtfXLOD6bMtKQIuZ96Kunde9aXKGaHT54cs8cBAADmgzAcAKCxFfNOjj02ueGGtL7pNzn+vi2z9zbvVl7q3z8ZNChp1+6zTx86tDpOZZllYvY4AADAPBKGAwAsKLvumtx7b/LMM7lgbK+snJey2mpzlqUXM8Sff74ads/P7HEAAICWShgOALAgFW3dY8emzUeT82g2SOdxj87xqcUs8WKmeDEGpZgxPrezxwEAAFoyYTgAwIK2xhq5ZM9H8veslkNv2CT5zW/m6vRitngxY7zYIHNuZo8DAAC0ZMJwAIASvL9Yp3wj9+VPX9ox2WWX5JxzqvNO5lAxY/zEE6szx+d09jgAAEBLJgwHACjJlCycX20zLDnllGqSfeCBydSpc3WNaTPH52T2OAAAQEvWpuwCAABasvq6VskPf5h86UvVMPzFF5MRI5Illyy7NAAAgJqiMxwAoCkYMCC5997kD39IevZM/v73sisCAACoKcJwAICmom/f5JFHko8/TjbYIBkzpuyKAAAAaoYwHACgpEbwYhpKcT+T1VevBuJf/WrSr18yfHhJFQIAANQWM8MBAErQvXv1NksdOyb33JMcdFCy117JX/+anHpqUle3gKsEAACoHaV3hl966aVZZZVVsvDCC2eDDTbIY4899plr//znP+db3/pWZX1dXV0uvvjiT6356KOPcsopp6RLly5ZZJFFstpqq+WMM85IfX19I38SAIAG1K5dcs01yeDByemnJ/vsk0yZUnZVAAAAzVapYfgNN9yQo48+OqeddlqefPLJrLXWWtlyyy0zfvz4Wa7/4IMPsuqqq+acc87JcsstN8s15557bi677LL89Kc/zXPPPVd5ft555+WSSy5p5E8DANDAik7wE08s/qUp+c1vks02S95+u+yqAAAAmqW6+hJbpotO8PXWW68SXBc+/vjjdO7cOYcffnhOOOGE2Z5bdIcfeeSRlduMtt122yy77LK5+uqrpx8rusmLLvHrrrtujuqaNGlSOnTokIkTJ6Z9+/bz9NkAABpUMUd8++2T4t9Nbr89WWONyuE//rE6RaUYNf6ZY1cAAABq1NxkuaV1hk+dOjVPPPFENis6nKYV06pV5fnYsWPn+bobbbRRfv/73+cvf/lL5fkf/vCHjBkzJt/85jc/85wpU6ZUvrQZbwAATcqGGyaPPpostFD18ahRlcNFAL7TToJwAACAz1NaGP72229X5nsXXdwzKp6/8cYb83zdoqN89913T9euXdO2bdusvfbale7xvYrNpz7D2WefXfn1YNqt6E4HAGhyunRJHn44WW+9ZIstqjPFAQAAaB4baDa0X//61xk2bFiGDx9emUP+i1/8IhdccEHl/rMMGjSo0kY/7fbqq68u0JoBAOZYhw7VMSkHHJDsv3/xLzLFrLmyqwIAAGjy2pT1xksvvXRat26dN998c6bjxfPP2hxzThx33HHTu8ML3bt3z8svv1zp/t53331nec5CCy1UuQEANAtt2yaXXZZ8+cvJscdWh4YXP/wvtljZlQEAADRZpXWGt2vXLuuss05lvvc0xQaaxfOePXvO83U/+OCDyuzxGRWhe3FtAICaUVeXHH10MnJkctddSd++yWuvlV0VAABAk1XqmJSjjz46V111VWWEyXPPPZdDDz0077//fr797W9XXh8wYEBlhMmMm24+/fTTlVvx+LXXXqs8/tvf/jZ9zXbbbZfBgwfn9ttvz0svvZSRI0fmwgsvTP/+/Uv5jAAAjWqHHZKHHkreeqs6S/zxx2e7fNy4eXubeT0PAACgqSg1DN9tt90q87xPPfXU9OjRoxJs33XXXdM31XzllVcybob/5/X6669XNsQsbsXx4tzi8YEHHjh9zSWXXJKdd9453/nOd7Lmmmvm2GOPzcEHH5wzzjijlM8IANDo1loreeyxZOWVkz59ik1UZrnslluSVVdNzjqraDKYs0sX6wYPru7deeutDVs2AADAglRXX19fv0DfsRmYNGlSOnToUNlMs3379mWXAwAwZyZPToomgWHDktNPT049tTpO5f8Uf/nu5z+vPu7WLbniiqR378++3OjRycEHJ88997/zhw5t7A8BAADQOFluqZ3hAAA0oIUXTq69ttrKXYThe+yR/Oc/018uguwiJ19mmeTZZ6tN5AMHJhMmzHyZ4nlxvBhDXgThnTpVz7v66gX/kQAAABqKMBwAoJYUneAnnpiMGFGda7LxxsWsuekv7bln8vzz1bC7MGRIsuaayfDhSfH3BYvQu2vX6vFCsa4IxIvzZmgyBwAAaHaMSZkFY1IAgJrw5JPJ9tv/b2D4178+08tjxlTHoBRd4p80J2NUAAAAymZMCgAA1fD7//2/ZIUVqql20S0+g+LQU09Vp6rMqNhgszguCAcAAGqJMBwAoJYtv3zywAPVDvGdd07OPLM6D+X/tGtXnarSv3/1eXE/aFD1OAAAQC1pU3YBAAA0skUWSX71q+rsk1NOqQ4BL3bDLDbc/D+rrTbzPQAAQK3RGQ4A0BIUu1+eempyww3JTTclm2ySvPFG2VUBAAAsMMJwAICWZNddkwcfTF55JVl//eTpp8uuCAAAYIEQhgMAtDTrrVfdWHOZZZJevZKbby67IgAAgEYnDAcAaIlWXLHaIb711slOO2XTR89J8r+NNQEAAGqNMBwAoKVabLHqDPGTT87Wowfl2uyTNh/+p+yqAAAAGoUwHACgJWvVKvnhD3Pdtr/KTrkph13fuzpPHAAAoMYIwwEAyB+67p5eeSiLffB2su661REqAAAANUQYDgBABgxIThmxdsbd+njyla8k/folP/tZUm+OOAAAUBvalF0AAADl6969ekuWSe65Jzn22OSww5Inn0wuvTRZaKGySwQAAJgvOsMBAJhZ27bJj3+cXHNNct11ySabJK+/XnZVAAAA80UYDgDArO23X3V2eLGhZjFH/JFHyq4IAABgngnDAQD4bOuvnzzxRNKlS7LxxsnQoWVXBAAAME+E4QAAzN5yyyX33Zfsu29ywAHJd7+bfPhh2VUBAADMFWE4AACfr9hA88ork8svT664Itlss2T8+LKrAgAAmGPCcAAA5tzBByejRiXPP1+dI/7kk2VXBAAAMEeE4QAAzJ3evZPHH0+WXTbp1SsZNqzsigAAAD6XMBwAgLnXuXPy4IPJLrske++dHHts8t//ll0VAADAZxKGAwAwbxZZJPnFL5KLL67ett46mTCh7KoAAABmSRgOAMC8q6tLjjgiufvu5IknkvXWS/74x7KrAgAA+BRhOAAA869fv+oc8cUXT3r2TEaMKLsiAACAmQjDAQBoGF26JA8/nGyzTbLzzsnJJycff1x2VQAAABVtqncAANAAFlssuf765OtfTwYNSv7wh+S665IOHcquDAAAaOF0hgMA0PBzxI8/Prn99mT06GSDDZIXXii7KgAAoIUThgMA0Di++c3k//2/pFWrZP31k9tuK7siAACgBROGAwDQeFZfPXnkkWSTTZLtt0/OPDOpr6+8NG7cvF1yXs8DAABaNmE4AACNq337ZOTI5NRTk1NOSXbZJbff8F5WXTU566xk6tQ5u0yxbvDg6j6dt97a2EUDAAC1RhgOAEDjK0alnH56NRS/++6sdUjPrDD57znppGTttZMxY2Z/ejF6vEeP5OSTkylTqpcBAACYG8JwAAAWnB13rIxNWXHpyXl2sfWyc4ff5dlnkz59koEDkwkTZl5ePC+O9+2bPPdc0qlTMmxYcvXVZX0AAACguRKGAwCwYH3lK6l77LEs1GeD/PrfW+XXG1yQpD5DhiRrrpkMH14dK16E3l27pnK8UITiRSC+555JXV3ZHwIAAGhu6urr/28HI6abNGlSOnTokIkTJ6Z9MeMSAICG99FHqcxJOffcjN98z3zz1avy5POLfmpZt27JFVckvXuXUiUAAFAjWa7OcAAAytG6dXLOOcn116fTmJH5fwv3ziXHvjzTkmKDzaeeEoQDAADzTxgOAEC5dtstefjhtHp3Qr7783VzUp8HKof7908GDUratSu7QAAAoBYIwwEAKF+PHsnjjyfdu+cHD22Ww/LTrLaqaX4AAEDDEYYDANA0LL10cvfdebhHEYUfnj3u2Dt5772yqwIAAGqEMBwAgKajbdvc8o2Ls0eG5yt/+22y3nrJn/9cdlUAAEANEIYDANDkXJ898uO9H0/atEnWXz+59tqySwIAAJo5YTgAAE3SW0t1TR59NNlll2TAgGTgwOQ//ym7LAAAoJkShgMA0HQtumhyzTXJ1Vcn112X9OyZ/PWvZVcFAAA0Q8JwAACatrq6ZP/9k0ceST74IFlnnWTEiLKrAgAAmhlhOAAAzcNaayWPP55suWWy887JkUcmU6eWXRUAANBMCMMBAGhSivHgReN3cf8p7dsnv/518pOfJD/7WdK3b/LKKyVUCQAANDfCcAAAmpTu3ZOddqref+bYlMMPT0aPTsaNS9ZeO7njjgVcJQAA0NwIwwEAaJ422CB56qnqpprbbJOceGLy3/+WXRUAANBECcMBAGi+OnZMbrklOfvs5Nxzk803r3aLAwAAfIIwHACA5q1Vq+SEE5L77kuef746NmXUqLKrAgAAmhhhOAAAtWHjjZOnn06+8pVks82SwYOTjz8uuyoAAKCJEIYDAFA7ll02ueee5KSTklNOSbbdNnnnnbKrAgAAmgBhOAAAtaV16+SHP0zuuCN57LHq2JRHHim7KgAAoGTCcAAAatNWWyVPPZWstFLSp09y8cVJfX3ZVQEAACURhgMAULs6d04eeCD53veSo45Kdt45mTix7KoAAIASCMMBAKhtbdsmP/pRctNNyb33JuusU91oEwAAaFGE4QAAtAz9+ydPPpm0b59suGFy1VXGpgAAQAsiDAcAoOVYbbXk4YeT/fZLDjoo2Xff5P33M27cvF1uXs8DAAAWPGE4AAAty8ILJ5dfnlx7bTJiRCatuX6+ucpzOeusZOrUObtEsW7w4KRLl+TWWxu7YAAAoCEIwwEAaJn23jv5f/8v//53MmbqevnTScOz9trJmDGzP2306KRHj+Tkk5MpU5KRIxdUwQAAwPwQhgMA0HJ165YVXn0sb/Xqn+HZK4c/e0g26zM5AwcmEybMvLR4Xhzv2zd57rmkU6dk2LDk6qvLKh4AAJgbwnAAAFq0usUXS5fRv8z7F16RA1r/PA+lV34/5B9Zc81k+PDqHptF6N21azJkSPWcIhQvAvE990zq6sr+BAAAwJyoq68v/vWeGU2aNCkdOnTIxIkT0759+7LLAQBgQXnqqfxnu13y4bi3s+/H1+Tm9J/p5W7dkiuuSHr3Lq1CAABgHrNcneEAADDN2mtnkT8/kcW3+0ZGZqdckGPSJh9WXio22HzqqdkH4ePGzdvbzut5AADAnBOGAwDAjDp0SKuRI5KLLsoRdT/JA9k4B235cgYNStq1++zTbrklWXXVamg+deqcvVWxbvDgpEuX5NZbG+wTAAAAsyAMBwCATyoGgR95ZC7bY3RWzGu5+P61kl//eranjByZTJ6cnHRSpcE8Y8bM/i1Gj0569EhOPjmZMqV6PgAA0HiE4QAA8BleWWHD9MjT+cvKWyS77ZYccEDy/vuzXDt0aHWjzWWWSZ59NunTp7rR5oQJM68rnhfH+/atbsLZqVP1vKuvXjCfCQAAWiphOAAAzMa/smSu2+6Galp9/fXJ17+ePPnkLJvJ99wzef75athdGDIkWXPNZPjwpNi2vgi9u3atHi8U64pAvDivOB8AAGg8wnAAAPg8RVK9//7VEHyxxZINN0wuvDD5+ONPLe3YMbnyyuoYlG7dkvHjk732Slq1SvbeO3nrrerx4vViXbEeAABofMJwAACYU2uskYwdmxx+eHLMMcnWWydvvDHLpb17J089Vd0gc0bFBpvF8eJ1AABgwRGGAwDA3FhooeRHP0ruvLOaaq+1VvXxLLRrl5x4YtK/f/V5cT9oUPU4AACwYAnDAQBgXmy1VfLMM9UZ4kWH+FFHJVOmzHLpaqvNfA8AACx4wnAAAJhXyy6b3H57ctFFyc9+lmywQXVHTAAAoMkRhgMAwGcYMCAZMaJ6/5mKnTGPPDJ55JFk8uRknXWSq65K6uv/f3v3Ad5Uvf9x/JMCLbNlgyBYlkJZRZbKUhHcyhBQ4CKKBb3XBU4URK+CqKjoVf9s9F4BJyiooKKCIMoGlSUIyt7QMqRl5P98zzFtWgq00DZp+n49z3mSnJxz8sto2n7yzfeXgyMFAAAAcCaE4QAAAMAp1K0rdejgnp5RgwbS4sVSt25S795S587Svn05MEoAAAAAGUEYDgAAAGSVIkXcqvAPP5RmznQn15wzJ9CjAgAAAEAYDgAAAGSDW26Rli+XoqOlyy9X27lPKZ+OBXpUAAAAQJ5GGA4AAABkh8qVpW+/lQYNUuv5gzVHLVR639pAjwoAAADIswjDAQAAgOySP7/01FN667a5KqNd6vtOrDRyJJNrAgAAAAFAGA4AAABks1aPX6oV7y7TgXbdpbvvlm64Qdq2LdDDAgAAAPIUwnAAAAAgm9WtK93crahKfThSmjZNWrTIXfnxx4EeGgAAAJBnEIYDAAAAOcmqwn/9VWrRwp1o8/bbpfj4QI8KAAAACHmE4QAAAEBOK1NGmjxZGj9emjJFqldPmj3buepsu6fQdQUAAAA4PcJwAAAAIBA8HqlnT+nnn6ULLpCuuELr2j+iWlWOaMgQKSkpY4ex7QYPlqpUcTuwAAAAAEgfYTgAAAAQSNHR0nffSS+8oAumvq45iY31/pPL1aCBNHfu6XedM0eKjZUGDJASE90ic0N1OQAAAHAywnAAAAAg0PLlkx55RPmXLNT5lTxaqMa6fuWLatXiuOLipL17U29ul219y5bSqlVS2bLShAnS2LHS1KlS1aqiuhwAAABIgzAcAAAACBKe+vVUYu1CHb/vQQ3V4/pOV2jmmA2qVUuaOFHyet3Qu2ZNacwYdx8LxS0Q79rV7bxi1eFHjkhPPqlzqi4HAAAAQg1hOAAAABBMIiJU6PUXFTbrOzUpv1G/htXTdTvHq1s3r8LCpO7dpV27pJgYN8geNUoqWTJl93Hj3MDc5uhcuVJq0UKZri4HAAAAQhFhOAAAABCMWrVSwTU/q2D3WzRed2qK2quMdjpXWQuUpUul5s1P3s2qw61KfPVqN+w2VkWemepyAAAAIBR5vF77cxj+EhISFBUVpfj4eEVGRgZ6OAAAAMjrpkxR/K29lZjk0TtN3tIj82/J8K7WJqVPH7dKPC2rLh85Mv1QHQAAAAi1LJfKcAAAACDYtW+v4b1+1Vw11yMLOkmdO7u9UjLAgm6rIrcJMv2drrocAAAACEUBD8PffPNNRUdHq2DBgmratKkWLFhwym1XrFihjh07Ott7PB4NHz483e22bNmi7t27q1SpUipUqJDq1q2rRYsWZeO9AAAAALLXwSLl1FEf690bJknffuuWdX/4YYb2DQ+XnnjCydQddtq/v7seAAAAyCsCGoa///776tevnwYNGqQlS5aofv36uvrqq7Vzp9sLMa3Dhw+ratWqGjp0qMqXL5/uNvv27VOzZs1UoEABTZ8+XStXrtTLL7+sEiVKZPO9AQAAALKbR8tr3mpVIu7Ml1Yh3qmTdIq/n9OqVi31KQAAAJCXBDQMf+WVVxQXF6c77rhDMTExGjFihAoXLqxx48alu33jxo310ksv6dZbb1VERES627zwwguqVKmSxo8fryZNmqhKlSpq27atqvEXPwAAAEJFuXLSRx9J770nffedVLu29MEH7uyYAAAAAIIrDE9KStLixYt11VVXpQwmLMy5/OOPP571cadOnapGjRqpU6dOKlu2rBo0aKDRo0efdp/ExESn0br/AgAAAAQ1j0fq0sWdGbNVK/e8VYnv2BHokQEAAABBKWBh+O7du3X8+HGVs6oWP3Z5+/btZ33c9evX6//+7/9Uo0YNffnll7rnnnt0//3365133jnlPs8//7wz46hvscpyAAAAIFcoW9atErfK8Nmz3Srx99+nShwAAAAItgk0s9qJEyd08cUXa8iQIU5VeO/evZ1WLNaC5VT69++v+Pj45GXTpk05OmYAAADgnFlVuPUSv/JK6dZbpVtuoUocAAAACIYwvHTp0sqXL592pPkD3S6fanLMjDjvvPOc/uP+atWqpY0bN55yH+s/HhkZmWoBAAAAcmWVuFWI2zJnjlslbn3FqRIHAAAAAheGh4eHq2HDhvrmm29SVXXb5UsvvfSsj9usWTOtWbMm1brffvtNF1xwwTmNFwAAAAikHj2kjz92TzNcJd66tXTbbVLHjtI5tCIEAAAAQkH+QN54v379dPvttzsTXjZp0kTDhw/XoUOHdMcddzjX9+jRQxUrVnR6evsm3VxpEwT9fX7Lli1atmyZihYtqurVqzvr+/btq8suu8xpk9K5c2ctWLBAo0aNchYAAAAgt6pb110yrEwZt3e4BeP//KdTJR576X8k3Wazb2bjSAEAAIDg5PF6A/udyTfeeEMvvfSSM2lmbGysXn/9dTVt2tS57vLLL1d0dLTefvtt5/Iff/yhKlWqnHSMVq1aadasWcmXP/vsM6cP+Nq1a53tLXS3vuEZlZCQ4Eykaf3DaZkCAACAXG/3bum++5yWKVsb36z4IW+q1lUVAz0qAAAA4JxlJssNeBgejAjDAQAAEJImT5b+9S/p0CFp6FDp7rulsIB1TgQAAAByNMvlL18AAAAgr+jQQbK2g9ZH3ELx5s3d3uIAAABAHkAYDgAAAOQlJUpII0dKs2dLe/dKDRpITz0lHTkS6JEBAAAA2YowHAAAAMiLWraUli+X+vd3W6bExkrffx/oUQEAAADZhjAcAAAAyKsiIqRnnpGWLZNKlbKZ6SWbeH7fvkCPDAAAAMhyhOEAAABAXhcTI82ZI731lvTBB1KtWu6p1xvokQEAAABZhjAcAAAAgBQWJt1zjzvB5mWXSV26SDfdJG3cmKnDbNuWbSMEAAAAzglhOAAAAIAUFStqas/J6lJgsg7MXiJv7drS669Lx4+fdrekJGnwYKlKFWnatBwbLQAAAJBhhOEAAAAAUpkyRfrgaHudf2Cl3ivQQ94HH3SrxX/+Od3trcOKzb85YICUmOjuDwAAAAQbwnAAAAAAqYwbJ02YIEWUiVLXfW+qmXeutv52UN6GDaUnnpD++svZbu9ed77Nli2lVauksmXd/caODfQ9AAAAAE5GGA4AAAAgFY9H6tpVWr3aDbt/1GWK3r9UL0Q8peMvvSxv3br67tHpqllTGjPG3ce2s0Dc9rP9AQAAgGBDGA4AAAAgXSVLSqNGuW1QasSEq/+hgYo59rO+/f0CXfHSdRqxq4Na19joXG/b2fYAAABAsCIMBwAAAHBazZtLS5e6E2T+pot0lWaqi95Tm8j5+npzTTWf87w7gyYAAAAQxAjDAQAAAJxReLjbLrx9e7vk0dH2XVRs82p5/vlPaeBAqV49aebMVPts23Z2t3W2+wEAAACnQxgOAAAAIMOqVfM7LVZMGjZMWrZMKldOatNG6tJF2rxZU6dKVatKQ4ZkvGjctrPq8ypVpGnTsvVuAAAAIA8iDAcAAABwburUkWbNkv73P2n2bNnMmn89O0zHjhzVk09KDRpIc+ee/hDWdzw2VhowQEpMlKZMyanBAwAAIK8gDAcAAABw7jweqXt3afVqqVcvdV7ymHZVjNXNUbO0cqXUooUUFyft3Zt6N7ts61u2lFatksqWlSZMkMaODdQdAQAAQKgiDAcAAACQdYoXl157TZ7Fi1W8cpQ+ib9CP1bvrvLapjFjpFq1pIkTJa/XDb1r1pSz3lgoboF4165utg4AAABkJcJwAAAAAFnPep5Yb5Rx43TJ/i+1qUhNDSn3mvbsPKZu3aSwMLeQfNcuKSbGbZMyapRUsmSgBw4AAIBQRRgOAAAAIHtY4n3HHdKaNcrfo5se39lXW8o31GX6IXkTm2Bz6VKpefOAjhQAAAB5AGE4AAAAgOxl5d5vvSXPggUqVylCP6i53tbtuvOarerfXwoPD/QAAQAAkBcQhgMAAADIGY0aST/9pI/ajNR1+kJvfXOhNHiw9NdfgR4ZAAAA8gDCcAAAAAAZ1qOH9PHH7ulZCQvT/Pq9VUNr9VO9PtLTT7uzan7wgTurJgAAAJBNCMMBAAAAZFjdulKHDu7puYhXcX12xcvSihVS/fpSly5Sy5bS4sVZNVQAAAAgFcJwAAAAAIFz4YXSp59KX30l7dsnNW7sTrq5datz9bZtZ3fYs90PAAAAoYswHAAAAEDgtWkjLVsmvfmmNG2aE5Kv+scQxVT5S0OGSElJGTuMbWdtyKtUcQ8DAAAA+BCGAwAAAAgO+fNL99wjrVsn9e6tGhMGaWliLS198kM1iPVq7tzT7z5njhQbKw0YICUmSlOm5NTAAQAAkBsQhgMAAAAILsWLS6+8onyrVqhAg7r6UJ31f6ta6f4WSxQXJ+3dm3pzu2zrreX4qlVS2bLShAnS2LGBugMAAAAIRoThAAAAAIKS56ILVXHJNCV89KWqldirRWqkS8fcqVYXbtPEiZLX64beNWtKY8a4+1goboF4166SxxPoewAAAIBg4vF67U9I+EtISFBUVJTi4+MVGRkZ6OEAAAAAIeWXX6S1a6UaNaS6dTO407FjWvfYKJV67SnlP56oIXpCr6qvElXQuTomRho5UmrePFuHDgAAgFyc5RKGp4MwHAAAAAhOSTv2aVmHf6vBvDe0TedpoJ5Vree6q98j+RQeHujRAQAAIJizXNqkAAAAAMg1wsuVUJMfXtWDV63QfDXVO+qpx99voPCZX7h9UwAAAIBTIAwHAAAAkOsUjr1QnfWhXu/2k1SihHT99dIVV0jz5wd6aAAAAAhShOEAAAAAcq1N5zWVZs2SPv9c2rNHuuQS6ZZbpDVrAj00AAAABBnCcAAAAAC5m8cjXXedtGyZ9M470sKFUu3a0j33SNu2BXp0AAAACBKE4QAAAABCQ758Uo8eblX4Cy9I778vVa8uDRxoMysFenQAAAAIMMJwAAAAAKGlYEHpoYek9eul+++Xhg2TqlWTXntNSkwM9OgAAAAQIIThAAAAAEJT8eLS889rxw/rpHbtpH79pFq1pAkTpBMnzri7r8PK2XZaoUMLAABAcCEMBwAAABCypk6VoptV1JAqo5W05FepXj2pe3epYUPpyy8lr/ekfZKSpMGDpSpVpAEDpKpVpSFD3PUZ4b//tGlZf58AAABwdgjDAQAAAISsKVOkI0ekJ5+UGnStpbkPfyLNnSsVKSJdc410+eXS7NnJ28+ZI8XGuiG4dVSxtuPJ+zdwdz2dtPvb7QMAACA4EIYDAAAAyHVsnsyPP3ZPT2fcOLcrSpky0sqVUosWUtzbzbT30zlu2faBA04gfrRla71w41y1bCmtWiWVLevuZ3NxnrR/nLR3b+rbscu2Pu3+Y8dm68MAAACATPB4vel8LzCPS0hIUFRUlOLj4xUZGRno4QAAAAA4RxZWP/64NHq0e9nC6ldflW671avvH/pUpf8zSLWP/6yv1EZLbnpGvcdfqpIlM7D/bdLEiVLfvtKuXe51FooPHapU+wMAACDwWS5heDoIwwEAAIDQZG1O+vRxq7z9eXRC958/RYMLDFKRDSuka6+VnnlGatw4Q/ubmBhp5EipefNsvhMAAAA4qyyXNikAAAAA8gwLqpcudSe49Dd4SJhe/L2jiqz7WXrvPWnDBqlJE+mmm9wdzrC/TbBp6wnCAQAAghdhOAAAAIA8JTxceuIJqX1797Kd9u/vrldYmNSli/TrrylNwy++WOrQQfr55zPvDwAAgKBFGA4AAAAgT6pWLfVpKvnySV27SitWSO+8Iy1fLtWvL3Xq5K470/4AAAAIOoThAAAAAHAq+fNLPXpIq1dLY8dKixZJdes6M2eW2bM60KMDAABAJhCGAwAAAMCZFCgg3Xmn2zZlxAjphx/08Nu19a666bydywM9OgAAAGQAYTgAAAAAZJQ1Bu/dW1q7Vp+0fkPN9IP6/TdWuvpqaeZMyesN9AgBAABwCoThAAAAAJBZERH6MfYeVdc6vXvDJGnXLqlNG3eyzYkTpWPHAj1CAAAApEEYDgAAAABn6bjya3nNW6XFi93K8HLlpG7dpOrVpddekw4eDPQQAQAA8DfCcAAAAAA4Vx6P1Lq1NGOGtGyZ1KKF9PDDUuXK0pNPStu3B3qEAAAAeR5hOAAAAABkpfr1pf/9T/r9d6lnT+n116XoaLfXuE3ACQAAcJa2bcvZ/UINYTgAAACAPKlHD+njj93TbNnfqsJfeUXauFF6+mlp2jSpVi2pfXtp3rxzGToAAMiDpk6VqlaVhgyRkpIyto9tN3iwVKWK+6dIXufxepnuPK2EhARFRUUpPj5ekZGRgR4OAAAAgFCQmCi9+640bJi0erV02WXSI49IN90khVGnBAAATu+OO6S333bPx8RII0dKzZufevs5c6Q+faRVq1L2HzdOeTrL5S8uAAAAAMgJERFSr17SihVuaZcF4FYlbv/Njh4tHTkS6BECAIAgZkH2hAlSmTLSypXuFCVxcdLevam3s8u2vmVLNwgvW9bdb+zYQI08eBCGAwAAAEBOshD8xhvdcq0ff5Rq13bLtqyvuH2POe1/tAAAAH/P1921q/sFMwu7zZgxbhe2iRMl6/9hoXfNmu56Y9tZIG77eTwBHX5QoE1KOmiTAgAAACBH/fab21/cvvucP790111S377SBRcEemQAACBIzZ3rfp5uVeJpZaSNSqigTQoAAAAA5CYXXiiNGCH9+acbgv/3v1K1alK3btKyZYEeHQAACEIWdC9d6n6xzJ9NsGnr80IQnlmE4QAAAAAQLMqVk559Vtq0SXr1VWnePKlBA6lNG+mrr9zvPwMAAPwtPFx64gl3GhJjp/37u+txMsJwAAAAAAg2RYpI990nrV0rTZrk9hG/+mo3GLdmoEePBnqEAAAgiNgXyvxPkT7CcAAAAAAIVtY//NZbpUWLpJkzpfLlpe7dperV3crxAwcCPUIAAIBcgzAcAAAAAIKdxyO1bi3NmCEtXy61aiU9+qhUubJ7ahNwAgAA4LQIwwEAAAAgyG3b5nehXj13gs3166U775TGjJEuuki6/HK3hcqRI+nvBwAAkMcRhgMAAABAEJs6VapaVRoyREpK8ruiUiXp5ZelLVukd991q8ethUqFCjp+7wMadd8vqlJFmjYtgIMHAAAIIoThAAAAABDEpkxxi72ffNKdP3Pu3DQbFCokdesmffed0y5l0zVx2jfiPfV+o55mJV6i3S+MlQ4eDNDoAQAAggdhOAAAAAAEsXHj3O4nZcpIK1dKLVpIcXHS3r2pt7PLcS/WUOVJL6jC8U26M/IjVa5XQj3nxUnnnSf16SMtXCh5vYG6KwAAAAFFGA4AAAAAQcy6n3TtKq1e7YbgxtqE16olTZzoZtsWltes6a43PePCNWxDR1VYPl2eDRukfv2kL76QmjRxy8vffFPavz+g9wsAACCnebxeygLSSkhIUFRUlOLj4xUZGRno4QAAAABAMmuTYkXeViWeVkyMNHKk1Lx5OjsePy7NmCGNHi199pkUHi516uQm7M2auak7AADIlX75RVq7VqpRQ6pbV3lKQiayXMLwdBCGAwAAAAhmNpHmsGFuH3Efm2DzoYfcjPuMtm2T3n7bLSVfv94tK7/rLqlHD7cfCwAAQC5BGH6OCMMBAAAA5AYdOrgTbLZvL02efBYHOHHCnXjTQnE7gP17aAezavErr5TC6KwJAABCJ8vlLxsAAAAAyKWqVUt9mmkWdrduLU2aJG3ZIr3wgvs96zZtpOrVpcGDpa1bs3LIAAAAAUMYDgAAAACQSpeW+vaVVqxwG5O3auWG4ZUrSzff7PYZP3Ys0KMEAAA4a4ThAAAAAIAUNpGmTag5frzbW/w//9HR9ZukG2+UoqOlgQOlP/7I0KFsdwAAgGBBGA4AAAAASF9UlKZWvEeR65Zo3D8X6fi1N0ivvSZVrSpdfbX00UfubJ5p2CorKq9SRZo2LSAjBwAAOAlhOAAAAADglGyCziNHpF5vNVS9eSM07+Nt0tix0oEDUqdOUsWK0t13S99847RRmTNHio2VBgyQEhPd/QEAAIIBYTgAAAAA4JTGjZMmTJDKlJFWrpSatS2iuHl3aO9n89zJNnv2lGbMkK66SgnFKmhlyz6qsGqmzitzzNnPcnMAAIBgQBgOAAAAADhtC/GuXaXVq6W4OHfdmDFSrVrSxJ/ryPviS5rw3Aa1Lb5AI470VFt9pZlqo80nzlPXWb3lmfm1dPRooO8GAAAAYTgAAAAA4MxKlpRGjZLTBiUmRtq5U+rWTQoLk7r/w6Ov9zfWOzEvasv366VFixR2Vy+3dUrbttJ550l33SV9+SXBOAAACBiP1+v1Bu7mg1NCQoKioqIUHx+vyMjIQA8HAAAAANJlXUrWrpVq1JDq1s2527UJMocNk558MmXdkCHSQw9J4eF+G9q/m0uXSh9+6C6//+6m6u3auf3GW7eWChTIuYEDAIA8neUShqeDMBwAAAAAzqxDB3eCzPbtpcmTz7Cx/eu5bFlKML5unVSihBuM33KL03M8dZIOAACQtVkubVIAAAAAAGelWrXUp2dsPt6ggVtC/ttvbjD+z39KP/wgXX+9VK6cOxnn55+7pecAAABZjDAcAAAAAJCzLBivX1967jl3Zs7ly6V775V++km64QapbFnp9tuladOkxMRAjxYAAIQIwnAAAAAAQGCD8Xr1pGeflVatchuhP/CAtHChdNNNbjD+j39IU6dKR44EerQAACAXIwwHAAAAAARPMF6njvTMM9LKldKvv0p9+0pLlkg33+wG4927S59+muFgfNu2bB81AADIJQjDAQAAAADBqXZt6emnNfX5FWoQvkLfN35IJ5YucyfdLFNG6trVncHz4MGTdrW244MHS1WquN1WAAAACMMBAAAAAEHN8u5lSTFq9e0g1dWvWvy/ldKjj7qV4x06SKVKSVddJb3yitNqZc73XsXGSgMGuC3HbX8AAADCcAAAAABAUBs3TpowwS0Gt+4pjf5RS3EbB2rvrJ+l336TXnpJKlBA3ieekGJiVKlVFd276p/qHjVN7409pLFjA30PAABAMCAMBwAAAAAEfStx64iyerUUF+euGzNGqlVLmriwhrz33a8J3acrutheXafPNU03qlOxL/W/+JvU5Z6SSrq8rfTqq+4BvN4M3y79xgEAucKJE9LGjdLu3YEeSdDzeL2Z+Esgj0hISFBUVJTi4+MVGRkZ6OEAAAAAQFD65Rdp7VqpRg2pbt2cu925c6U+fdwq8bRiYqSRI6XmzbzO4H598QttGz9dV4TNVv5jiW4T8WuvdZcrrpCKFEm337gVmz/7rPThh9KNN+bM/QIA4LRs8mj7xWsf7vova9ZIhw65H/w++KDymoRMZLmE4ekgDAcAAACA4GaB9bBh0pNPpqwbMkR66CEpPDxl3R13SG+/LRXWId1e6TsNaDRdFZZ+If3xhxQRIbVqJbVuLV15pdSggebMy+cE7atWpexvbVoAAMgxVuFtv4jSht4bNqR8w8l6h9WsmXq5+GKpfHnlNQmE4eeGMBwAAAAAcgebP9MmyGzfXpo8+eTr7T/eSZPcQrldu9x1d/Xy6qW71qj4j9OlGTPcUvPDh3U4PEpfJV2ub3Wllpe8Un1er63bunqcNi0AAGSpY8fcD2bTBt627NnjbhMWJlWtenLobYtNHo1MZ7lB0TP8zTffVHR0tAoWLKimTZtqwYIFp9x2xYoV6tixo7O9x+PR8OHDT3vsoUOHOts9mAe/IgAAAAAAoa5atdSnGeo3Ptaji26uqYnl+so740tNemufbiw+R0OT+qm49uvlsEc0e29dde1XXp6ut0mjR0u//56pfuMAADgOHpQWL5befVcaMEC65RapTh23TZf1GbNeXE8/LS1b5rby6ttX+ugj6ddfnQ9qnbYo06a5/bt69ZKaNSMIPwf5FWDvv/+++vXrpxEjRjhBuIXbV199tdasWaOyZcuetP3hw4dVtWpVderUSX3txXEaCxcu1MiRI1WvXr1svAcAAAAAgGBXsqQ0apTUo0dKv/Fu3dxFsr4qzbU+prnajnxKBS4+LM2bJ337rbvcfbc7OVnlym47FVus3/j55wf6bgEAgoF9WLp1a/pV3ps3p2xXsaJb1X355e7vFl+Vt63na0h5Iwx/5ZVXFBcXpzusEZvkhOKff/65xo0bp8cff/yk7Rs3buwsJr3rfQ4ePKhu3bpp9OjReu6557LxHgAAAAAAcovmzaWlS8/Ub7ywdNVV7iJp+5p4lV87JyUctybk5sIL3Z7jl1ziLhZo2Ffa/7Ztm3TeeTl9DwEA2Tphxbp1bsidtqe3VYCbAgXcim/7nXD77SmBt/3OoB1z3g7Dk5KStHjxYvXv3z95XVhYmK666ir9+OOP53Tsf/3rX7r++uudY50pDE9MTHQW/z4zAAAAAIDQZIH3E09Iixal9Bv3+7c0lalTpS5dojRw4A16eOgNblhuE5vNmuUG499/L40Z41YFWsjRpImON75EH21qqoc+aKr/+6iM8w14AEAusndv+lXe69dLx4+725QoIdWqJVlHis6dU0Jva3WSP+D1xziFgD4zu3fv1vHjx1WuXLlU6+3yanuBnaX33ntPS5YscdqkZMTzzz+vZ5555qxvDwAAAAAQev3GjYXlR464VeQTJkgjR1p1eWm356stxgqqLFn/6Sft+WK+vC+OUpfjz6mLpB3dqkk3NnUrx5s2lWJjfeXnAIBAslB748aUoNu/0ts347K1LomOdkPuG25ICbwtBC9dmtYmuVDIfUyxadMmPfDAA/r666+dCTkzwirTrW+5f2V4pUqVsnGUAAAAAIDcYNw4qU0b6cEH3T7jLVpId90lvfCC24fcERmpvbFX6rFJV2rMD7bCq4al/tRrt/2ky8J+khbMdydDs6/XR0RIDRqktFaxgPyCCwhUAOAUzrblVPJ+hw5Jv/12cpW3rbNPO02hQilBt7XI8p23did2HUJGQMPw0qVLK1++fNqxY0eq9Xa5fPnyZ3VMa7uyc+dOXXzxxcnrrPr8+++/1xtvvOG0Q7Hb9BcREeEsAAAAAAD4s4y6a1fpmmts3ipp9Gi3K4q1T3n1Vem226SJE6W+fVMKCePiPBo6NFolS0ZLutVdaa05ly93qsedxQ4wfLh7nX1b2kJxX0DeqJFUrFjg7jQABAm3VZU0cKD08MOn+WKNtaqyfHH1ah37dbWWTFyt+J9WKar0ahXetTFlO8sbLeS+7DLpzjtTQm8rivWb8wGhK6BheHh4uBo2bKhvvvlG7dq1c9adOHHCuXzvvfee1TFbt26tX375JdU6m5yzZs2aeuyxx04KwgEAAAAAOBOrAh81SurRQ+rTx60S79bNXXxiYnxtVNI5gBVgNWniLvff767buVNasMANx+fPtx6e0oEDbiBTu3ZKQG6n9pV8/p8FEAqV2pmQqlXVu16NfXGPLim73u3dbYt/xXd8/N975VOkqmuLaum78l11/Ut/B94XXSQVL575gSOkBLxNirUnuf3229WoUSM1adJEw4cP16FDh5wA2/To0UMVK1Z0+nr7Jt1caX91/H1+y5YtWrZsmYoWLarq1aurWLFiqlOnTqrbKFKkiEqVKnXSegAAAABA7mbh9KWXut9kzwkWdC9dKg0b5oYzPkOGSA89lMl24GXLuj1obTEnTriBjq963AJy69Ni661SvHHj1O1VbH8ACMZKbT/WIeqll6Rnn5U+/FCnn1TYvkXz55/JYfe4kuv170brFb90vSqvWq/IGw+kbGsTWF54oRN0H27bTuN/rKn/zKyp9aqqEmXDnW/vtLvNvuKTJXcdISLgYXiXLl20a9cuPfXUU9q+fbtiY2M1Y8aM5Ek1N27cqDC/ryls3bpVDay/2t+GDRvmLK1atdIsm80bAAAAAJBn1K3rLjnJwp8nnnDnzLSqxfbtbS6qLDiw/e9r5eW22Nf3JW1fd1DlN7uTczrL2LFu8m6s17jdeasit33s1KofixQ568pNADid9CcVPvX2c+a436axuSmd/Sd7dWPTXSmV3WmXzZvdlicmf355oqNVqWpVlfnHpfpsZTdNWlDVCbsPlq6iZ14rfopWVdLQoX7zOgB+PF6v7xUG/wk0o6KiFB8fr8jIyEAPBwAAAACQDR55xK3wtupGq1rM6f3PqgLT/oXfuNGtGl+4UFqxwu3ZYpWUdrXHo/3Fo/VjfIwubFdb1W/yC8mLFs36QQLIU+wtaNIkd1JhX/h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      "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) # CALCULER LA VOL IMPLI\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) # CALCULER LE CALL PRICE A PARTIR DU PUT\n",
    "            vol_impli, iterations = volImplCallCore_Newton(tau, K, DF, F, call_price) # CALCULER LA VOL IMPLI\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",
    "\n",
    "\n",
    "a_init = np.min(Total_Variance_data)/2\n",
    "b_init = 1e-3\n",
    "rho_init = 0\n",
    "k_0_init = 0\n",
    "sig_init = np.min(Total_Variance_data)/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, np.sqrt(SVI(lm_data, a, b, rho, k_0, sig)/tau), lw=1, color=\"red\") # COMPLETER AVEC LE SMILE CALIBRE\n",
    "plt.scatter(lm_data,IV_data, s=200, marker=\"1\",color=\"blue\")    "
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