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Last active April 16, 2024 11:11
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Algo Trading Book Price Limiter (Chapter 7.2 of of Algorithmic and High-Frequency Trading by Cartea, Jaimungal, Penalva, published by Cambridge University Press)
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Optimal Execution Strategy with Price Limiter (Chap 7.2)\n",
"\n",
"This file implements the optimal acquisition strategy when a trader has a maximum price that they are willing to pay for the asset. The theory is covered in Chapter 7.2 of\n",
"\n",
"Algorithmic and High-Frequency Trading (c) Cartea, Jaimungal, & Penalva, 2015 Cambridge University Press\n",
"\n",
"https://www.amazon.co.uk/Algorithmic-High-Frequency-Trading-Mathematics-Finance/dp/1107091144/ref=cm_cr_arp_d_product_top?ie=UTF8\n",
"\n",
"The agent's aims to minimize the performance criterion\n",
"$$\\mathbb{E}\\left[\\int_0^\\tau (S_u+k\\,\\nu_u)\\,\\nu_u\\,du + y_\\tau (S_\\tau + \\alpha y_\\tau) + \\phi \\int_0^\\tau y_u^2\\,du\\right]$$\n",
"where the stopping time\n",
"$$\n",
"\\tau = \\min(T;\\; \\min\\{t: S_t \\le \\overline{S}\\}; ),\n",
"$$\n",
"i.e. it is the minimum of (i) the trading horizon $T$, (ii) the first time the asset hits the upper barrier $\\overline{S}$, (iii) the time at which the agent acquires all their shares.\n",
"\n",
"Here $y_t$ denotes the inventory remaining to acquire and $S_t$ is the asset price which is assumed to satisfy the SDE:\n",
"$$\n",
"S_t = S_0 + \\int_0^t b \\nu_u du + \\sigma\\,W_t\n",
"$$\n",
"and $W_t$ is a Brownian motion"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"# Importing Packges\n",
"import time\n",
"import math\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import importnb\n",
"with __import__('importnb').Notebook(): \n",
" import PriceLimitSim_helpers\n",
"from mpl_toolkits import mplot3d\n",
"from scipy import interpolate\n",
"from mpl_toolkits.mplot3d import Axes3D\n",
"np.random.seed(20) # Setting random seed\n",
"np.seterr(divide='ignore', invalid='ignore')\n",
"import matplotlib.pylab as pylab\n",
"params = {'legend.fontsize': 10,\n",
" 'figure.figsize': (8, 4),\n",
" 'axes.labelsize': 20,\n",
" 'axes.titlesize': 20,\n",
" 'xtick.labelsize': 15,\n",
" 'ytick.labelsize': 15}\n",
"pylab.rcParams.update(params)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Initialize a number of constants used in the analysis"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"lw = 0.75 # Line width in plots\n",
"Nsims = int(10000) # Number of simulations\n",
"\n",
"# time grid\n",
"T = int(1) # Expiry\n",
"Ndt = int(6.5*60) # Number of time increments\n",
"dt = T/Ndt # Time change increment\n",
"\n",
"N = 1 # Target Inventory\n",
"sigma = 0.1 # volatilty (recall this is an artihmetic model)\n",
"\n",
"k = 1*10**(-4) # Temporary Market Impact\n",
"b = 0 # permanent price impact factor\n",
"\n",
"phi = 1 * 10**(-3) # Running penalty coefficient\n",
"alpha = 100 * k # Barrier and terminal penalty coefficient\n",
"real_alpha = alpha # Penalty coefficient for simulations\n",
"\n",
"F0 = 20 # Starting Fundamental Price\n",
"Fmax = F0 + sigma # Upper Limite of Fundamental Price\n",
"\n",
"# the price grid \n",
"Fmin = F0 - 5*sigma # Lower Limit of Fundamental Price\n",
"NdF = 1000 # Step of price change\n",
"dF = (Fmax - Fmin)/NdF # Price increments\n",
"\n",
"# for plotting results\n",
"idxfig =[2, 5, 7] # Index of paths to be plotted\n",
"lower_cutoff = Nsims*0.02 # Lower bound for presenting frequency in simulation "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Solve the Hamilton-Jacobi-Bellman Equation (7.4)\n",
"\n",
"When the permanent impact parameter is zero, we can solve for the dependence in inventory explicitly, and the optimal strategy $\\nu^*$ is given by \n",
"$$\n",
"\\nu_t^* = \\frac{1}{k}\\,y_t^*\\,h(t,S_t^*)\n",
"$$\n",
"where the asteriks are the processes evaluated along the optimal strategy, and the function $h(t,S)$ satsifies the terminal and boundary value PDE\n",
"\\begin{align}\n",
"\\left( \\partial_t + \\tfrac{1}{2}\\sigma^2 \\partial_{SS} \\right) h(t,S) - \\tfrac{1}{k} h(t,s) + \\phi &= 0, \\\\\n",
"h(T,S) &= \\alpha, \\quad S\\le\\overline{S} \\\\\n",
"h(t,\\overline{S}) &= \\alpha, \\quad t\\le T\n",
"\\end{align}"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"h, Fgrid, t = PriceLimitSim_helpers.solve_pde_hjb(Fmin, Fmax, int(NdF), alpha, phi, k, sigma, T, int(Ndt))"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"PriceLimitSim_helpers.plot_stategy(h, t, Fgrid, F0, T, Fmin, Fmax)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Strategy Simulation\n",
"Next, we look at how the strategy performs along simulated paths and compare it with the Almgren-Chris strategy."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"# Initializing variables for simulation base on computed strategy\n",
"X = np.full([Nsims, Ndt+1], np.nan) # Cost matrix of Strategy\n",
"Q = np.full([Nsims, Ndt+1], np.nan) # Inventory matrix\n",
"\n",
"F = np.full([Nsims, Ndt+1], np.nan) # Fundamental Price matrix\n",
"S = np.full([Nsims, Ndt+1], np.nan) # Execution Price matrix\n",
"\n",
"nu = np.full([Nsims, Ndt+1], np.nan) # Rate of Trading matrix\n",
"\n",
"I = np.full([Nsims, 1], np.nan) # Cost of acquiring the remaining inventory at barrier\n",
"\n",
"\n",
"HitB = np.ravel(np.full([Nsims, 1], False)) # Indicator matrix of whether barrier was hit\n",
"tHitB = np.full([Nsims, 1], np.nan) # Time matrix at which barrier was first breached\n",
"\n",
"X[:, 0] = 0 # Initial condition of cost\n",
"Q[:, 0] = 0 # Initial condition of inventory\n",
"F[:, 0] = F0 # Initial condition of price"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"# Initializing variables for simulation of Almgren-Chriss strategy\n",
"X_AC = np.full([Nsims, Ndt+1], np.nan) # Cost of Strategy matrix\n",
"Q_AC = np.full([Nsims, Ndt+1], np.nan) # Inventory matrix\n",
"F_AC = np.full([Nsims, Ndt+1], np.nan) # Fundamental Price matrix\n",
"S_AC = np.full([Nsims, Ndt+1], np.nan) # Execution Price matrix\n",
"nu_AC = np.full([Nsims, Ndt+1], np.nan) # Rate of Trading matrix\n",
"X_AC[:, 0] = 0 # Initial condition of cost for AC strategy\n",
"Q_AC[:, 0] = 0 # Initial condition of inventory for AC strategy"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The Almgren-Chris strategy acquistion strategy is deterministic and given by the expression\n",
"$$\n",
"\\nu^{AC}_t = \\sqrt{k\\phi}\\,\\frac{\\xi\\,e^{2\\gamma(T-t)}+1}{\\xi\\,e^{2\\gamma(T-t)}-1}, \\qquad\\text{where}\\qquad \\xi = \\frac{\\alpha+\\sqrt{k\\phi}}{\\alpha-\\sqrt{k\\phi}}, \\qquad\\text{and}\\qquad \\gamma=\\sqrt{\\frac{\\phi}{k}}\n",
"$$\n",
"see Equation (7.6)."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"gamma = (phi/k)**0.5 # Gamma variable\n",
"xi = (alpha + 0.5*b + (k*phi)**0.5) / (alpha + 0.5*b - (k*phi)**0.5) # Variable for computing chi variable\n",
"chi = -(k*phi)**0.5 * np.divide(( 1 + xi * math.e**(2*gamma*(T-t))), (1 - xi * math.e**(2*gamma*(T-t)))) # Chi variable"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The next bit of code simulates the strategy by doing the following steps forward in time:\n",
"* looks at the current price and use the optimal strategy $\\nu^*_t$ above to decide on the trading rate\n",
"* make a trade and update the traders inventory and cash\n",
"* update the price by simulating a Brownian motion step in time\n",
"* if the barrier is breached (or terminal time is reached), then acquire all remaining shares and account for the cost of those shares\n"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"# Simulating computed strategy\n",
"for i in range(Ndt):\n",
"\n",
" # current asset price may not lie on the grid we numerically solved on\n",
" # so need to interpolate\n",
" f = interpolate.interp1d(Fgrid, h[:, i])\n",
" \n",
" # find h(t,F) for those simulations that have notyet hit the barrier\n",
" interp_h = f(F[~HitB, i]) \n",
" \n",
" # compute the optimal trading rate\n",
" nu[~HitB, i] = np.multiply((N-Q[~HitB, i]) / k, interp_h)\n",
" \n",
" # this is the execution price\n",
" S[~HitB, i] = F[~HitB, i] + nu[~HitB, i]*k\n",
"\n",
" # zero out those simulations that hit the barrier already as we don't want them\n",
" nu[HitB, i] = 0\n",
" S[HitB, i] = 0\n",
"\n",
" # account for the cost of the trades above and update inventory\n",
" X[:, i+1] = X[:, i] + np.multiply(S[:, i], nu[:, i]*dt)\n",
" Q[:, i+1] = Q[:, i] + nu[:, i]*dt\n",
"\n",
" # if you were trading using Almgren-Chriss this is what you would do\n",
" nu_AC[:, i] = ((N-Q_AC[:, i])/k * chi[i])\n",
" S_AC[:, i] = F[:, i] + nu_AC[:, i] * k\n",
" \n",
" X_AC[:, i+1] = X_AC[:, i] + np.multiply(S_AC[:, i], nu_AC[:, i]*dt)\n",
" Q_AC[:, i+1] = Q_AC[:, i] + nu_AC[:, i]*dt\n",
"\n",
" # step the fundamental price forwrad one time step\n",
" F[:, i+1] = F[:, i] + (sigma * np.sqrt(dt)) * np.random.randn(Nsims, )\n",
"\n",
" # update the indicator of barrier breach and record the time at\n",
" # which the first breach occurs\n",
" thisHit = (F[:, i+1] >= Fmax)\n",
"\n",
" firstHit = np.logical_and(thisHit, ~HitB)\n",
" tHitB[firstHit] = i*dt\n",
"\n",
" # account for additional inventory acqusistion at barrier breach and update inventory \n",
" X[firstHit, i+1] = X[firstHit, i+1] + np.multiply(N-Q[firstHit, i+1], F[firstHit, i+1]+real_alpha*(N-Q[firstHit, i+1]))\n",
" Q[firstHit, i+1] = N\n",
"\n",
" # also record its cost separately\n",
" I[firstHit] = np.multiply(N-Q[firstHit, i+1], F[firstHit, i+1]+real_alpha*(N-Q[firstHit, i+1])).reshape(I[firstHit].shape)\n",
"\n",
" # update the running indicator of barrier breach\n",
" HitB = np.logical_or(HitB, thisHit)\n",
" \n",
"# Account for terminal acquisition for paths that did not hit barrier\n",
"X[~HitB, -1] = X[~HitB, -1] + np.multiply((N-Q[~HitB, -1]), F[~HitB, -1] + real_alpha*(N-Q[~HitB, -1]))\n",
"I[~HitB] = np.multiply((N-Q[~HitB, -1]), F[~HitB, -1] + real_alpha*(N-Q[~HitB, -1])).reshape(I[~HitB].shape)\n",
"Q[~HitB, -1] = N\n",
"\n",
"# update the Almgren-Chris strategy\n",
"X_AC[:, -1] = X_AC[:, -1] + np.multiply((N-Q_AC[:, -1]), F[:, -1] + real_alpha*(N-Q_AC[:, -1]))\n",
"Q_AC[:, -1] = N"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Visualizing simulation for a few paths\n",
"PriceLimitSim_helpers.PlotPricePathMap(T, t, F, Fmin, Fmax, S, idxfig, lw)\n",
"PriceLimitSim_helpers.PlotInvPathMap(t, Q_AC, Q, idxfig, lw)\n",
"PriceLimitSim_helpers.PlotTradeSpeedPathMap(T, t, nu_AC, nu, idxfig, lw)\n",
"PriceLimitSim_helpers.PlotCostPathMap(t, X, Q, F0, Fmax, idxfig, lw)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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tWsXJkyfp1asX9evXp06dOnz++eeA2aDVuXNn2rVrR6tWrYiLi6N58+bUrVuXmjVreq8Ds7O2SpUqtGzZkm7dunmLlWzbto02bdpQr149mjZtet63lLQYMmQIffv2pWXLlvTs2ZNt27bRtGlT6tSpQ7169Vi2bBmQtjzvihUrvNLIbdu2DfgNaO/evZQpUwYwu5Nr1qwJwPjx47njjjto3bo1lStXZtSoUd57Pv74Y68s8sMPP4zH4wFg3rx5NG7cmLp169K1a1evLMJXX31F5cqViY2NTfG+5TbCOKMfC5wFZolICyccMwwY7ZtyKSJbRWSCz+vCIvKSiNwqIq1F5EVgPPCoqh5Oc0RVzXGtXr16askYGzduTPEaE9cL2N5//33vde+//36a12aETz75RHv16qWqqo0bN9ZVq1apquq//vUvff3114PqY+TIkTpixAhNTEzUcuXK6b59+1RVdfTo0frss8+qquqePXu0UqVKqqr6f//3f/rJJ5+oquqRI0e0UqVKGhcXpx999JGWLl1aDx06pKqq8fHxeuzYMVVVPXDggFasWFE9Ho+uWLFCo6Oj9dSpU3r8+HG99tpr9ZVXXlFV1WbNmunmzZtVVXXp0qV68803p2p3uXLl9MCBA97XTz/9tNavX19Pnz6tqqonT570/r5p0yZt0KCBqqpOmzZN27Rpo4mJifrPP/9ooUKFdPbs2XrmzBlt3Lixt89PP/1UH3zwwfPG/eCDD7Rw4cLatm1bHTNmjB49etR7vFSpUnr48GGNi4vTqlWr6u+//67r1q3T9u3ba3x8vKqqPvjggzpp0iTdt2+f3nDDDXry5ElVVR01apQ+99xzevLkSS1durRu3bpVPR6PduzYUdu3bx/U3zIz8P93rqqKyT2/IJ9Tibz6PdcF1YIZD6gGzMfM4vcCIwG33zXbgYk+rwtg8uYPO/etADoEY79djLVcNKZMmcLAgQMBuOuuu5gyZQp169bNUB9Tp05l9uzZuFwuOnbsyIwZM3jkkUfo0qULLVu2ZPjw4UyfPp3OnTsDRiDsiy++8M7Ck+RwwcgiFy9ustJUlaeeeoqFCxficrnYvXs3+/btY9GiRbRv3558+fIBeL91xMXFsXjxYu84YGQMMkL79u2Jiory3tu/f3/WrFlDREQE27ZtA0hVnnfTpk1s2LCBFi1aAEYkLmnm7kvv3r1p27Yt3377LbNnz2bcuHFeaYXWrVt75ZA7dOjAokWLSEhIYMWKFcTEmLXE06dPU7ZsWfLnz8/GjRu98sTnzp0jNjaWjRs3ct1113lVKO+55x6vcF1uwizGhk8uRlU3As3Suaa83+uTQKtQxrOO/hJFg9Q46tOnD336BMoOyxiHDh1i/vz5rF+/HhEhMTEREeHll1+mevXqQakRrl27li1btnh138+dO8c111zDI488QunSpSlRogRr165l2rRpvP/++4B5zs8++4zKlSun6GvZsmUp5HsnTZrEgQMHWLVqFZGRkZQvX54zZ86k+j55PB6KFi16QXo0vuO/9tprlC1blk8//ZT4+HgKFkzWqUpNPrhWrVr88ssv6Y5TunRpevXqRa9evahSpQqbNm0K2G+SfHCvXr0YOXJkinOzZ8+mTZs2fPLJJymOr1y58pIpOh/0Y2ZD+TAbo7dcFGbOnMl9993Hjh072L59O//88w8VKlRg0aJF3H333SxevJivvvrKe/0333zDunXrUvQxZcoUhg0b5pUP3rNnD7t37/bK9iZVbDp27Jg3Ft26dWveeustr8NOTWbg2LFjXHHFFURGRvLTTz95+4yNjWXu3LmcOXOGuLg4r42FCxemQoUKzJgxAzCOd82aNSG/P8eOHaNkyZKICB9//LHX3tTkeatVq8bu3btZvnw5YD70Akkjf/PNN97F3j179nDkyBFKlSoFmG87R48e5dSpU3z++edcf/31tGjRgunTp3vXAg4dOsTOnTtp0qQJP//8s7e61smTJ9myZQvVqlVj8+bN/P3336hqinWT3IQAbldwLTuSTc2y5DamTJnCHXfckeLYnXfeyeTJk8mXLx9ffvklb731FpUqVaJatWpMnDjxvEpKU6dOPa+PO+64w7uw26lTJ6ZOneqVDwZ45plniI+Pp1atWtSoUYNnnnkmoH333HMPK1euJCYmhkmTJnnljOvXr8/tt99OdHQ0HTt2JCYmhiJFigDmW8CECROIjo6mevXqF7QQ2b9/f8aPH0+jRo3YsWOHt4BKavK8efPmZebMmTz++ONER0dTp04d7wKuL/PmzaN69epER0dzyy238Prrr3tLBcbGxnL33XdTp04dunXrRu3atalZsyZDhw6lRYsW1KpVi1atWrFv3z6uvPJKJkyYQNeuXYmOjqZJkyZs3ryZ/PnzM3bsWNq2bUvTpk255pprQn4PsjuCBtWyI1am+BIhu8sUZ2fi4uIoWLAgp06d4oYbbmDcuHEZXlvIbowfP57169fz+uuvZ7UpYSWzZIqrSJSOjygb1LVNE7Ze8HjhxsboLZZ06NOnDxs3buTMmTPcf//9Od7JW0JAMhCjz4ZYR2+xpINvyb3cQu/evbPahByHSM6LfiRhHb3FYrGkgwDuS2lGLyKNgDZAI4zWQj7gIPAnZvvuHFU9Ek4jLeFBVS+ZVDjLpUdmrzfm5P86QWfdiMj9IrIOWAwMBPIDW4BlGDW2hpjtuLtFZKKIVAjVKBEpLSJxIqLBFL61pE9UVBSHDh3K9P8MFktWoKocOnTIuwEtE0ZAJLiWHQlqRi8ia4ArgP8C9wGrNYDHcIrX3gbcA2wQkZ6qOi0Eu14B4jBbfi1hoEyZMuzatStVoTCLJacTFRUVcHdwOJAwL8aKSDXgLaAxRpp4PDBcVdPUlReRGOB5TMERAX4DnlbV83NrfQg2dPMRMFZVz6R1kaoeAyYBk0SkNkZOM0OISFNMaOh5jMO3hIHIyEgqVAj5S5bFcsnjCpOjF5FiwA/ARqA9UBF4DRNhGZLGfWWd+37DTLgBBgHfiUgtVd2R2r1BOXpVTTPZVkSeV9Wn/O7J8N5wEXFjPuVGkIYAv8VisVxswhiWeQizttlRjVrl9yJSGBgmIi9ryqLhvtwKFHLuO2psksWYNdJbgPdSGzBcO2Pb+B8QkVBm4w9hCuC+c8EWWSwWSxiRIFsQtAW+9XPoUzHO/8Y07ovEFAOP8zkW5xxLc+gLcvQi8rSIrAVKicijItJERPI5p2/LYF8lMFKdj6tqfFrXHjhwgJiYGG8bN25caA9gsVhyJePGjfP6B+CyC+1PAJdLg2pBUAW/SlKquhM4hV/lKT8+c655TUSuEJErMGUFjwAz0hrwQvPonwe+BL7ClLPqCtQQkdNARjUKngOWqerX6V14+eWXYyUQLBZLaviqrorIwXQuTx/JUIz+MhHxdVDjVNV3NlqMwKHpI865gKjqHhG5GeNzH3UO7wVaq2qaWRYX5OidzJs1ItJSVTcBiIgLKOkYEBRONfNewA0iklQ0N7/zs4iIJKrq6Qux1WKxWC6EDGTdpFccHAKLGUsqx53xpSQwE1gFJG1tfgT4SkSaON8KAhLKhqlewEe+6ZVJTt753QPszmC3lTDxpyUBzu0CJpD8YEAcJC523vkrwZV7FfMsFkvWY+LvYVuMPQIUDXC8CGknoQzC+OxOSeFtEZmP2c/0b5Jn+ecRyox+LPCYiAxS1e9CuD8Qi4Cb/Y61Af6DWU3+K8UZBTwJ4HID/wOso7dYLJlLGPPo/8AvFu+kThbAL3bvRxVgg+8apqqeE5ENmBTNVAllMbYGxvF+IyLfiEjNEPpIgaoeVNUFvo3kB/5FVf/0uwM0ETxp7i2wWCyWsOF2aVAtCOYBrUWkkM+xrpg6sGmVWtuBWQPNk3RARPJifPL2tAbMsKNX1c2qegcQi8np/E1EJohIqYz2FTqOo9dE87snUMTHYrFYwkPSzthgWhCMBc4Cs0SkhYj0AYYBo31TLkVkq4hM8LlvPEZfbLaI3CoitwFzMGuiaaYehpxeqaqLVfV64C7gemCziAwXkbDIFqjqRFUVVY0LfIEH4/A9oAqpXGaxWCzhIFx59I7oY3PADcwFhmPSJIf6XRrhXJN03ypMSLsQ8AlGkiY/0FJV06xjecEyxar6mYjMAfoCzwIPYj51Mg9VE6MXAY0AUfCsBXeTTB3WYrFcqoRXsExVNwLN0rmmfIBjPwI/ZnS8kB29iFwGVPdreTArx5nKP7vyknAunoi8Aq486d9gsVgsF0hOlikOJb1yPsapX0Zy3ucOYB1GumBdOA0MxP4DUdxTbCPTTjrrwOoBcad9k8VisYSIED5Rs6wglBm9G5iOcejrgHWpxtEzkc94nA0bl1C9ViKIC7MouwNc5S62KRaLJbcjBCtvkC3JsKNX1bREdy4KRTjMMfLS86FoFi9cTUSkOqsgewDr6C0WS/jJwRP6sKlXXlQq1HJTpvQpVqwqxqujy5Ai+8ZisVgygTCmV150gnL0IvK5iNQJtlMRiRKRx0XkodBNSx23Wxn/9u8ADB1ZkQ0bkmRxFFKXe7BYLJaQEEBcElTLjgQ7o98JLBWRZY4ccV0RSRH2EZFSItLBSfDfixEp+y3M9npp3WI/vXvs4Nw5Fz16VyYhwTmhu0FPZtawFovlUkTMUmAwLTsSlFmqOgCoBizH7OBaAZwRkcMisldEzgD/ALMwGTkDgVqqujxTrAZAeO35jZQtc5qVqwrzyqtlkowFXZt5w1oslkuSXB+6AVDVbY7DvwqT6P8UZmfW55h6hz2ACqraSFU/dlQsMwkBcVO4iDL+vQ0ADBtZjvXrokhD5dNisVhCQwSJCK4F151UE5EfReSUiOwRkRFOKdW07hkmIppK+7+07g0l6+YcRngnLfGdzMdlTG/V4jAP9trNBx+Wpmfv61jy61oiIqyzt1gs4UXCNF0PtTg4RuvmG79jHTAqv/PSGjObRpTSwe970qsvbqFs2TOsXFWIl19JCuEcyUIDLRZLbsIsxoYtRu9bHPx7VR2L0bt53CkSHhBV3aWqS30bUBP4Q1VXpzVgznT0gDHdmF+4cALj3zOqxsNGlGX9+nzg2ZTGvRaLxZJBwhekD7U4uJ85UhxoCUxJ79oc6ujPf2NbtTzMgw/sJT7eRY8HKhEfn2ZVLovFYgme8GbdhFoc3J9OmMp8U9O7MIc6+sC8+tI2rr76DKtWFeTlV0qRs/eyWSyW7ITLLUG1IAipOHgA7gJ+U9XN6dqegU6zEeKImKVUgS5cOJHxY80zDx9ZlvXrzmaZhRaLJReRsRn9ZSKy0qf1CdBjhouDp7jQFAq/kSDCNpBTHb24SPnOJ3+KtmxxlD69nRBOz3jiz8Wn3o/FYrEEi0uCa3BQVWN8mn/1p1CLg/vSBfPBMC0o09O7wMnv7CQilYI04CKQL0AwTLxVp1556W9vCOf55/ZmhYEWiyUXIYR1w1SoxcF9uQtYpKr/BHNxMDP6IRhZ4j9EJE5ElorIOBF5RESaikimFxoJjP87qqapUrhQAh9+sAWAEaPK8vOC/RfdOovFkouQ4HRugtS6CbU4uGOKlAcaEWTYBoJz9GuACpjE/OeBv4GOwFvAAuCwiGx3hM9GikinYAcPHQGX2ydO74/SvNlRnnryHzweodvdRdlvfb3FYrkAwph1E2px8CTuAhKAmcHaHszO2H6qugNTRWquiDwKHAcmAnkxu7puwuSG3orxvJlf7kkigMQAxx3Hr8rwYTv5ZVFhfllUhO7dYd48cOXMVQmLxZKVCEhwGTXpoqpHRKQ58DamOPhRTHHwYX6XpigO7sNdwI+qeiDYMdN19M7uK196qqqvZPECYIKIFAVeJoiczrAgV2JENVMnwq1M/nQLdWKi+e67SF59FQYPvijWWSyWXERSjD5chFoc3DleO6PjhTK/vTyVwY9iVCsfDqHPjCPlndUPJwMnqaUoPqKUKXOWjz808fqnnoIpQUe1LBaLJZlLQY/el40iMizQCVXN6M6uCyMpRu919pC0IOv9qR5uueUIw57dSWIi3HsvzJ170Sy0WCy5gUtBj96PwcATIvKriPQSkWtEJMJpfYErwmxj6rhqOd+n0s9rGvrsLp4ZcgCPB3r2hAmBTUgAACAASURBVL0269JisWSEHCxIn2FH76ikNQbyY2QztwBnnPYuZlHh4iAFSZl14zOr98XJrx/27BZatTzFoUPwwAO2xKzFYgmeS21Gj6qudxZkY4EXMXn244FbVfWFMNqXPr7vbKBPUx9v7nLBxA83UKyYMm8eTJp0EeyzWCw5HpGwat1cdDLs6EWkpIhMFJFPgaOq+rSq3q2qD6mqvyh+5uNulNLBJ8Xrk+L0STivS5aMZ/RrJlV14ED4+++LaazFYsmZhHXD1EUnlBn9e0ArTO78DyJSEEBEWovIdWG0LVX27t3Le++957xypdw45YRpktHzYjT337eRNm3g0CG4/XaSC4tbLBZLICQDLRsSiqOvjcmsqQBsxiTvA3iA2SJSK0y2pcqePXsYPHgwu3btMgekuM+s3v+d9o/bK4IybWoc11wD69fDG29ktsUWiyWnc6nF6I+q6nFVjQdewqmIoqrfY2QSRobRvoAULVqUuLg4BgwYYA64qvi9w87qd8DwDYBSuNB6xjjLxv/5DyxYkNlWWyyWnMylFrpJ9BEy+xXwqlqq6hageEY7dNQxF4vIIRE5IyJ/isgQEckT6Pqrr76aQoUKMWfOHObMmePbU3KKU1IIJ8m5+zt9TNhm0CBITIQOHWDZsoxabrFYLgXCvRgrItVE5EcROSUiexyV4KCkY0Sko4isEJHTjs/8RkQKpHVPKI5+MjBJRIo5Ajx5fQwoAFwbQp8lgJ+A3hjNnA+Bp4HRgS6OjIzkueeeA6B///4cP34cXDWM0BkEnzep23nhBejUCY4dg7vvhtOnQ7DeYrHkflxBtnQQkWLAD5iZZ3tgBPAEpkB4evf2xvjgeRhf2RuT4p6mnE0ojn4McA7YJSIzgBIi0kFEHsJIbK7NaIeq+r6TvTNbVX9S1ZcwTv5ekcA7EB5++GEaNGjA7t27eeaZZ0CKcH5OfdIGBp9ZvXqc3xPBswe328PkyVCjBvz1F0wIpBVnsVgubYSMFB5Jj4cwhcA7qur3qjoW4+QfF5HCqZogchnG/w5Q1WdVdYHjMweo6rG0Bgxlw5RHVTsC/4dZmC0DzMJslooE+ma0z1Q4BAQM3QC43W7GjRuH2+1m06ZNJCQkJGvfBNylFihWD3iWERkJQ4eal6+/DmdtBUKLxeJPmGb0mJn4t76SxBgxyHw4a56p0MX5+XFGzCZoswKgqm+qaiWgJsbweqoararbQ+1TRNwikl9EYoFHgfdUU4/DREdHs3z5cr799lsiIiLA1cAnj96T3NJ9mBN06ADXXQfbtsGoUaE+gcViyZWEd0ZfBb9KUqq6E0hPK6wh8CfwgIjsEpF4EVkmIk3SG/CCNkyJSFVV3aCq36rq7xntKwAnnfYLJgw0KNBFBw4cICYmhpiYGPr06cMHH3zgnEmtEEkSfoJnST8964iIMGEbEXjhBfjttzA8jcViyRLGjRvn9RHAZWHpNHwz+mIErg17xDmXGlcBlTFV//4DtMP4y29E5Mr0TM8ovhumfgzzhqkmQFPMwkR7jDD/eVx++eWsXLnS2/r06cPWrVtp2bIl6zcc8EloTWsHw/lfFGJj4bHHTBZOjx5w7twFPo3FYskS+vTp4/UPwMEL7lAEIlzBNbhMRFb6tD4BegwUqZBUjifhAgoCD6jqJEeJoAOmAlP/tMzPVhumVPU3VV2kqqMxoZt+IlIxmHvfeOMNfvjhB3r0GklCoocUqZapD4j3ffWsAeC556BiRVi3zvxusVgsQEZm9AdVNcanjfPr6QhQNMAIRQg800/isPNzQdIBJ86/CqiWnukZ5WJtmEoKnlQI5uLnn3+eq6++mlWrVvHKa/OT5YsDcV7YX0FPApA/P3z0kbn9+efh119DM95iseQiwhuj/wO/WLyIlAUK4Be792MTZmYaaPt/mouR2WLDVCpc7/wMSnasUKFCTHByI4cNf4ENG7encmXqG6hMvV5o2hQefdRo4Nxyi9Wut1gshDNGPw9oLSKFfI51BU5j1iZT40uMU7856YDji+sBa9IzPaOEfcOUs7Pr3yLSVkRaichw4DVgmqpuC7afFi1a0KdPH86dO0ePB8aQkBigeLg/PrIIJK4Cj/lcefVVaNUKjh+HZ57J6BNZLJZcRXhn9GMxs8pZItLCieEPA0b7plyKyFYR8e7sUdWVwOeYGt33i8itwBdAPPBOWgNmiw1TwAqgBzADo23fDpOn3z2jHb3yyiuULVuWlSt/55XXphE4fBNgA5X3lJm+R0TAmDEQGWmyccZcvHIqFoslO+KW4Fo6qOoRoDkmTXAuZrPUGGCo36URzjW+3AvMwWwonYlx8s2cPlMlzW2zqRjpATqKyKPAAJI3TAGsI4QNU6r6DBCWeXPhwoUZP3487dq1I3+BEmmNSgppY3HhH/6qVg3GjjXVqB5/3OTZ33prOKy0WCw5Cgl6th4UqroRaJbONeUDHIsD+jktaDLs6H0GfBN4U0SqY5z9/jDl0l8wrVq14q+//qJ06dKQ8IszgfeNzeMjjRDgj+dZAq7GAPTqBQcOwJNPwoMPwoYNUCytTFeLxZI7yaYSxMFwwaaHecNU2ChdurT5RdwcP24yapIXYDVlbN4fVcw3IsO//w1NmphF2YEDM9Foi8WSfQlfjP6iE8rO2AgReVJElojIBhH5WkT6iUhacZIsY/rMvyhfqSvffb/C74yf9o03Vp8084/znna7TcplVBT8978wd26mmmyxWLIbwiVXeGQsMAqzQwtMgfB3gE0i0j5choWLbX/9w5EjJ+jR+0UOHjpGilCNr3P3X5j1bErRz3XXmbx6gD594PBhLBbLpYIAERJcy4aE4ug7A7GqWlNVq2N2czXGrARPE5HW4TTwQhk8eDCxsbHs3XuIvg+PTnN/sXH2PuEdzzLM7mLDo4/C9dfD//6XrHZpsVguES6l0A2wVVWXJr1QwzJV7YNJkcxWwgFut5tPPvmEQoUKMmvOQj76eF7KC/xDNimqUiVCYnLZKbcbkmqSf/QRHE1rs7LFYsldXGKOfpOIXBXohKpOJW31tSyhfPnyvPOO2U8wYOCbbNy0A++sHSdk46tm6fsa8F2YrVkTWrSAkydhZKZXx7VYLNkCIZw7Yy86oZj1KzBVRM4T0RGRvKQtypNl3Htvd+69pzWnTp2he88XSClzH0gOwed14ooUr196CVwus4nKLsxaLJcCQc7mc9GM/h3gBmCdiKwRkbdEZKCI9Mfs1BoSVgvDhIjw3tiptG3TiLHvPE4qFQo5vxJVkrqlN1pF3bowYoQ5beURLJZLgBw+ow9lw9QWjDxBTaA60AJTA9GN8YpVRWQDsDGpqeqq8Jh7YRQsWJSvvxoHiYcdJ55UP9YnjIMrgLSxOqePg1PS8d//htGjYc0aWLEC6te/aI9hsViygjDO1p2IyFuYRJajwHhguKqmKtAlIuUJLPI4TVXvCnDcSyiO/nVVnUWy7AEikgeoinH+NZx2N1AW4yL99RqyDldN0F/Bk8BnsxZSo1p5Kl9XxjmZpPbpSnb+4mO6bgAxO2bz5oWePeG118wmql9+MeEci8WSC0lKrwxHVyLFgB8wE+H2QEWMiKOL4CIi/8aE0JNIt7BKKFo37wU4dg4jk5lCKtOR4ayR0TEyHVc0H098nh69X6BWzWtYuvAt8uXLm3xeE1PWnvXdBeHZBK6qgAnbTJoEixfDBx9A33CVRbdYLNmP8E3kHsIUAu/oqFV+LyKFgWEi8rJf0fBA/Omb+RgMQZkuIsVFJMN1F1X1hKouyeh9mY4U5I47m3HttaVZu+4vHn3iHROuSZFHD8lZOL7ZOckicUWKwJtvmt8HDYKdOy/2g1gslotCeGWK2wLf+jn0qRjnf2MmWB/0Z9S/gH0iskNErkg6KCJuEWkuIjeJSPYJzwRB4aItmD55OFFReRj/4dd8MP5LUmTfqCe5nZeRkxxG69QJOnSAEyfMjtnzildZLJbcQfgcfRX8Kkmp6k7gFH6Vp1LhIxFJFJG9IjJaRPKla3owVmEKgb+LKQp+EIyTB74HvgN+BPaISMcg+8sW1KnXirFvPw5A/3+9zfIVznvvX33KXwsncRmoCYuJmE1UxYvDt9+ajVQWiyUXEr6sm2IETkM/Qtr7kM5ish4fwOjZv4+RK54ajOnBcBkwUFX/dPToAe7AfACsBe4DPgY+FpGck3/iKsv9PW7jkYfac+5cPHfeNYL9+4/gDdOk2FTl5+w9m73dXHUVvPWW+X3QIDh06OI+hsViyWQkSJ0bs2B7mYis9Gl9AvQY6Lu/pHLc3KC6V1X7q+oXqrpAVYcBjwO3i0jttMwP1tGfDpD209MxqruqTlLVwcDDmDBPzsHdkNGvDqBJ4+pERro5dPg4KXbM4uvg8atIlfyWdOsGzZsbsbNnn71ItlsslouHSHANDqpqjE8b59fTEaBogBGKkPENpzOdn3XTuihYR5/CyTsFaZsDq1R1vc+pSQQXY8pGRJAn3+V8NnUEKxe/S9UqVwe4xlcWgeTQjmc5kACYv+8bbxg9nLFjTbqlxWLJJUgGWvr8gZ+fFJGyQAH8YvdBkEZhjWSCdfRb/OLv9wOR+OTSg7fMYM5bjnTV4qpSV1C8RBGS/lLbtu0hpYNPmt37hnIUEpd7u6leHQYPBo8H7r8fzp7NgmexWCyZQ/Az+vSYB7R20s+T6AqcxtTdzgidnJ9pbkoN1tG/CnwoIu+LyAsYPfoE4NMA10YFbWJ2wl0PxI3H42Hgv9+jet0HWbp0oxOq8fjE6P2kjMGZ2Zvfhw83Dv/vv5Pj9haLJRcQvhn9WMzC6iwRaeHE8IcBo31TLkVkq4hM8Hk9TEReE5GOzn0jMEXFZ6nq2rQGDMrRq+pvwF2YIiP/AfICT6nqLt/rROQu4EwwfWY7JB+4o3C5I4iPT+Ds2Xg6dB3Ozp37nQs8fvH5JBQ0ARLNdoHISHj1VXNm5EjYt++iWG+xWDITAdwSXEsHVT2CCX27gbnAcIzD9q9yEUFKVYE/MHn2HwFfY9QHXnF+pknQe71U9Run0Egp4EpVfS3pnIh0E5HtmBj9D8H2me1wNQRXJK+/+jAtmtVh374j3N55KHEnTjkX+M3qzys/aD6M27Qx7fhxeOghm1tvseQKwhe6QVU3qmozVc2nqiVV9Rn/hBdVLa+qPXxeT3UWd4uoah5VvVZVn1XVdIPEGd7Uq6r/U1X/leEZmHTLPsCHGe0zW+GOITJvPqZPGsJ1lcqwZu1f3NvzJTyJiSTH7AM5ezDfxgzvvw+FC8OcOfDJJxf7ISwWS9gJX+jmohMW9QZVTVDV31V1gqr+GY4+swzJB5E3UKx4UeZ+NpyiRQvy+ZdLeOrZj1IuykLyT+8C7Van/CBcfbXJwgEYMAC2b7+4j2GxWMJJkLP5IGf0FxurtxgQAfcVXHddWWZOHoLb7eKLr5Zw8uQpZxafaBr4ZeF4nHNm6eL++6F9exPCueUW2LYt657IYrFcIJf6jD5X4q4Brjw0v7kOs6Y+w6IfX6NAgSiSM3ASA2ThOHh2gmcZwgE++ggqV4ZNm6BLF0hMVW3aYrFkWwQ7o8+1RDQCVwS339aE4sVNyquqsnv3fr+ZvZ/KJZjjni0UKwZLlkCZMvDbb/Bhzl7BsFguXXJwhalsalY2QfJCRBHnU1pIiE+g34C3qNO4P1u37Tpf4TKQ2qXupFix5JTLp56CI0cCjGWxWLI3l1LNWBF5SETuFJFrM8OgbIerHrijQFyoKtt37OfAgWO0bf8MBw4cJoXoGZw/s/fsAj1Gly5www1w8CAM9c+WtVgs2ZtLMHTzMiad8k8ROSEiS0RkrIj0E5Emftt6cwfuOuDKQ2SeSGZM+j/q1q7I1m17uPWOoZw4fsIJ33jMxingvKwczwZETJESlwvefRfWrcuC57BYLCGTg/18SI5+P3A10AHj9Hc7v78D/AIcFZENIvJ0MIL4ACLSWUS+EJHdIhInIqtEpFsItmUOUtDM6l15KFQoP199NpTy5a5gxarNdOg8nDOnzyRn4QTMrzfHo6OhXz+zIPvoo0YTx2Kx5BBysKcPxdEfU9VdqjpXVUeqaiegJKY81nLg/zC1Yx8HfhWRAkH0+TgQh5E4vh34CZgsIgNCsC9zcDWEiPLgiuCqq0rw/dyRXHVlMeb/vJa7uj9H/Lmz5y/OAsmzerO9YMQIKFECFiwwNWctFksOIYzplSJSTUR+FJFTIrJHREZkpEqfiLicCbGKyG3pXR+Ko98mIk18D6jhW6A7UFJV7wauAf4muKrm7VT1blWdrqrzVfXfwBTMB0D2wXUNROQHVwTXVizNd58Pp1ixguzYuZ8Tx074LM767qJNit0fBhIoXhymTTMhnBdfNJk4FoslmyNB6twEoXUjIsUwUjEKtAdGAE9gNG+CpTdQOtiLQ3H0rwH/FZHr/E+o6lagofP7MaAHRhohTVSdunwp+R24IsDxrMXd2Ls4W7NGeeZ/NYqf5j1v0i898SZOrz4ZOL6ZOInLwfM3zZvDY4+Z0E3fvja33mLJEYQvdPMQphB4R1X9XlXHYpz84yJSOH0zpBjwHPB0sKaHonWzDKNns1pERopIdR8DKgDlfK49AZzL6BgOTYCNId6bibjAXdo7s68dXZGiRQqAKp7EROZ+uRj1JPhsqIIUi7O6FzzLGDHC5NavXAmff55Vz2KxWIImfKGbtsC3vpLEmLqv+TDqlOkxEvgVU6s7KELKo1fV54FHgUeAtSKyS0R+AzYA3yRdJyJXYaqmZAgRaY75SvNOKPZlOq6K4IoEd16S/7LKQ4++y+2dR/LMsA9Rj9/OWV+nr4kULLCHwYPNkeHDbZESiyVbE970yir4VZJS1Z3AKdKp0CcitTBlXP+dEfND3jClquOBsphY0ffAHkwWzsOOQS9iFmUzlEgoIuWBycDnqjox0DUHDhwgJibG28aN8y/JeBFw1TchHHde7x+3ZbNo3G4Xz708nWeHf5Q8sw9YXHw7vXpBhQqwdi3cfbcN4Vgs4WLcuHFe/wBcFpZOg5/Rp1ccvBiBa8Mecc6lxVvAO06YPGgiMnKxP6p6EiOC/1GA00nplv8E25+IFMeU2doJ3JvadZdffjkrV67MmLHhRiLB3QR0ESb+fpbOHa8HlG49RzPqpWkAjBjaE3EpuCKcCI46HwxKgXxLmDmjBjc3K8SsWTBjBtx1V9Y9ksWSW+jTpw99+hj/KiKB1gAzThALrQ4HVTUmnWsCVamQVI6bk6awU2WgXbCGJBF2CQQRuQxAVf9R1a/SK3Hlc19+4EsgD3Cr8yGS/XHXBXc+cOUBXHS+owmTP/wXbreLUS9NY+iIiX4z+6QFWjPLr1t7HS+/dACAF16AhIQ0R7NYLFlBeEM3R4CiAY4XIfBMHxGJxFSTeglwiUhRIGnhtkB6G1VDkUBoLiK/icg2EflZRN4Wkd4iEiMiUcB3IfQZgdltWwloq6r707kl+yD5ISLWhHBcESBuunSMZdKEgbjdLka+OJVx478E/zCOT83Z+7tv5eqrPaxda+vMWizZlvAtxv6BXyxeRMpi1jP/CHiHOVcGGI35oDiCCY2DWcj9Pa0BQwndvIfZHfsbJo+zPSYu71+VIyO8C9wCPAYUF5FGPud+D6ZUVpYTUQt0tfndc46ud8YC8Po7X9KlQwPwOMlHLkDczrvkAXERFQXvvrOb29qVZcgQ6NgRypULNIjFYskawrrrdR4wSEQKOZmJAF2B08DPqdwTB9zsd+wqzH6jp4D5aQ0YiqMXVY1NccB8jajltBoh9NnK+flGgHMVgO0h9HlxkWJOFk7Swqtx9p06NMbtdoMnnoQED+KOxB2Z18fZKwjc2vYfunQpzfTpLh5+GL78MtvuprZYLk3C9/9xLCZrcZaIvITZXDoMGO2bcikiW4GfVfUBVU0AFqQwxySuAKxz0t5TJZQY/Sr/A6p6VFUXqurbqvpQRjt0iuBKKm17CDZmDe7Gxtm785gwDhgnrx48iQk8+PDr3NvjReLPnkkO4/gUHH9j9CqKFk3g669h7NisfBCLxZICIWwyxap6BGgOuIG5mM1SYwB/XdsI55oLJpQZ/Tsi8gzwgvMpY/Ei4G4ELDUvVb2Kllu3/Y/PvljKiROnORF3mhlTniVf/vzJ9+HhqqvO8fabf3HvfdfRvz9cdhl07pwVz2GxWM4jjF+xVXUj0Cyda8qnc347QX7PCGVG/zMmJrRVRN4SkXtFpJazoGrBbZy9Oy9EGKkEgOsqlWL+3KGUKF6Ir75ZQdvb/4/jR4+dJ4J2z90HGPbsTjweuO8+2LkzCx/FYrEk43IF17IhoVi1B5O0/wfQEfgvZsX3pIisFZFPwmhfDsUNrqvMhqqI/CYejxBT91oWfjOCUiWL8/Mv67m59SD+t2e/0chBwWN2TD37zD906XyQM2fgX//yEcK0WCxZhJhJWzAtGxKKVXNUdbCqtlHV0phdZ82BQcAyTIqkxVUJ3FeAKy9EFjCSCUC1KmVZ9O1IKla4it9Wb6PRjY/x11+7k2f2nkRE4OUXt1OoUAKzZsHkyVn7KBbLJU8YY/RZQSiiZv39Xh9W1QWq+qaqPqiqjVK795JDKoO7sHH27rzOpiqhQvkrWfLjczSMqcSVVxThyhL5/fLsPZQrd5Yxr/0NwKBBiZw4keZIFosls8nthUdEpHauLBF4MXDVNhk4STF7VySIi8svK8r8L4fz1YynKZA/AhJPo4lJxUs84Emk5/37aNjgBHv3um2dWYslS7k0Qjc/Al8DiMhCEXnHKRLexF8/WUReC7eROR5XLSflMo8jghYB4iJ/gSguK14APIl44s9y173P8eprk41kAopLPLz9xjZcLmXMGJg+7VRWP4nFcmkigNsVXMuGBGtVW+AF5/c6QEvgbWARcERE/nZqvo4CbEKgP1IQXI2Ns3c7YRy/qmELf93E9Fm/MuipCfR56BXOnTkNmkhMveO89IIJ4dxzbxRzZuccdQiLJfdwCczoVXW5qn7tvNysqtdhBHUaAn2Az4GCQF8yUN7qksPVOFnHPsnZiwtEuKlpdaZ+OJCoqEjGT/yW5m3+zf59B0ETeWLgLp4c/A8JCS7uubcE69etB92T1U9jsVxa5PYYvR+NAVT1lKquUNUJqjpQVZup6uVYR5827iY+zt6J2Tt7HrreeT2/zBtJ6VLFWbR4A/Wvf4Q1a/5ESOT5kX/T/Z59nDrl5s5OFTl+9B9QG8qxWC4aYXT0oRQHF5HqIvKNc/1ZEdkpIuNFpGR644WSdZNmaUBV/V9G+7zkcDdJXqB153UWaM0/kJi6FVnx0/M0jLmWnf8coMlNA1mxYgNCAmPf2ULNGifZvDkfvXpXRBNXW2dvsVwMhLCFbi6gOHgR4G9MdanWGMmEFsDX6W1YTdcq55Omk4jY/Phw4m7sl42Tx+vsS15VjAVfDaX7XU2pG12B6GqlwJNA/nzn+GzaBgoXTuCzWZcx5vWS4FkNaX/2WiyWCybIHPrg8uhDKg6uqotVtZ+qTnZS2j8CHgRqYwQlUyUY2YIhSeOIyGlgPbAWo4W8FlirqseC6MeSAhdIGXDtMi8jgESBxLOgEBWVh4/HDuDkqbPkiVBIOMXhY+coVvQYH4/Pxx1dajL4yfKUKXOWLp1XmgIoRGXlA1ksuRtXWPTFIPXi4C9hioPPzUBfh5yfedK6KJjQzRqMVHAH4HnMV4eOGBmEBcBhEdkuIp+LyEgR6ZQBIy9tXOXMDlpXhJN6GeWzscqFiFCwYD5QxZNwjnt7vUS9Rn0pVXIhzzy1ncREods9lZk+ozgk/gaeJVn9RBZL7iS8FaZCLg4OICIuEckjIpWBF4EVwPK07gnG0fdT1R2qOldVnweWAJ8B12OkD/pgasNeD/wfMC2IPi1JyBUglwVw9hHmH40jdHPs2CkOHz7Bzn8OENtsIFde8RpDh/yFxyM8MqAihw+7zbWev7L4gSyW3EhYQzcXUhwczJ6ms5gPi+LAbarqSeuGdB29qi71O9RTVfuq6hInTjRBVbsD1wIfYnLsLRnBVRlcxcxXQ1ee5Kwcn0X4YsUKsnDecPr3aUN8fAL9B77Nli29adJ4JwcPRnLX3deRkKCg/8MU+rJYLGEl+MXYy0RkpU/rE6C3DBcH92EA0Ajojklrn+eUcU2VUNIrLw90UFWPAgMxZQUtGUWqgetqH2eftLkqjzc2mCdPJG+98gCTJzxGgQJRTJ72E3v2NKFo0cV8/0MxHn+iPKCQuBR0d5Y+jsWS6wg+dHNQVWN82ji/njJcHNwXVd2iqstU9VNM9k0d4O607gnF0W8UkWGpGBBUjMmSClIWXHUdZx+Z7OglIsVCULdOsaz46QVq1SjH9h27adf2ffLk8fDWO6V56eVSGBXM7eBZk+pQFoslA4Q3Rh9KcfCAqOoO4DCmHGGqhOLoBwNPiMivItJLRK4RkQin9QWuCKFPSxKSD1zFjWOXCB/ly0jnmPmHVLVyaZb9OIpXR3Vnwtu3MuHdNYgoTz5VjmlTi5u+NA48aZaStFgsQSHgdgfX0mce0NpPKDK94uCBrTILsiUwSTKpEsqGqdWY3bH5gfHAFuCM097F1D60XAhSFVw1nQXaiOQwjitJNsE4+6iovDwxoB2RES7u7byNkc/8AtThvl6bWPN7lFHB1ASTjaPnlfq1WCwZIXwz+rGYxdRZItLCieEPI0BxcBGZ4PP6VRF5UUTuEJGbReRh4FtgGyY9M1VCUuBR1fWqWgeIxaT3TMc4/VtV9YU0b7YEhxQ2O2jFnRy3TxJFc0U4iz4CPiUjExPeBdZy7tydNL5hNF98galapR7wnIXExaBnsuiBLJYcTBhDNxdQHHwl0BSYAHwFPIrJgGykqifTGjPDdV5F5E5gL2aj1GJgsd/5Cqqa5tcISwZwNzEOGrxa9uYfkws851LUGRwy6A4K5M/P4Gencvr0ZNrfJQwBbAAAIABJREFUuYChQ55m2LM1ku/z/GayfKRE1jyPxZIjkaDkDYIllOLgqjqVdGbuqRGK5R9h5ImPOV8tZonIUBFpLyIVgFmhGGJJA3cTx1G7nRm+j9yxzyKty+XiiQFtWLP4Ra66sg6wh+GjHqF9x9c4fuy4U5NWwfMn6PasehqLJWdyKZUSBHZgkvSbA29iUoXuAWYDW0lHc8ESIu7GzmJs0iJtpJOG6YRyfKhR9Sr+2TiYhjH/AfLyxZdf8POCP031Kq+z3+3spLWVxy2WdBFxQqhBtGxIKI7+NHDcp07sA44+fT3gJ4yymiXsuJziJZcnz+7decHtq2+f/OeMiHCxcF4MNarOB17ngwld8Zw7DZrAsSNHnYVaD3iWYjdYWSxBcInp0f+MUUxLgar+jkkRqnuhRlnSQCobh+5yipZ4d9JGJuvkiBsQ8uTxMHfaYYoW6cfceaXofHctvv5yCeWu7crY92fjSUwwzj5xKejprH4yiyV7c4k5+leAoU5qTwpU9RBQ7YKtsqSNuxFI0sKsyyeM45+VA+XLnWLO5F8pUuQcs+aWoVe/7Rw7dpJ+/cfQ9MZHWL92izOz/83JyrEO32IJiMsVXMuGhJJHvx+4C3jJ0XF4QkRqiMjlInIPJn5vyVRc4GrgbKzK4zj2pJz7iOSZvSsScHFj7EEWfzefclefZN/+cdSrPZarrizK4qUbqNOgN4MGv8Xxo8cxsfvfnbx76/AtlmQkAy37EWoe/UJMTH4v8DJGyvh/wH+B18NmnSVtpCq4GoIUSN5Jm9SSNli5zcy/WpUT/DR3AUWLxLNqdV/uvP07+vZsSWKih1fHTOe66vewbOlas2CrHuPwLRaLIbwSCBedDDt6EblVRKqo6mZVbQeUwQjqPApcr6pvhNtISzq4aoOrjLPqn5SRE2GcfFJIxxVBhfKnmTR+KW63h3c+qP//7Z13nBTl+cC/z+71xh2HcMBRBAt3SpGOJlEjqKAGWyzEn9FgS9TEEo2xYoklFjRYIsbYotFgS2zYC0pHpQsCykk/ODi4frv7/P6Y2bvZvd3bZW/vbjnf7+czn9l5552Z992dfead530KZTuf5LN37mbMyIPweb0c3K8LeOscljlzwddsmGuD4ceD37w50pKA7LXDFJbB/hYR+bmq/qCqmzEx6Nsf6QOuAvAtIuA10iXWzedzg9Qz4bhS3vrPF5xx/ihmvN6Lb769iFefK8bl+p7cLDd4qqiugxumPMvVV51Nz8JuVrwcOQyk2SQ2BkMHJnFH69EQi+qmBDhIVX+IZ0NE5AAReVxEFouIV0Q+ief5fxRIKkheo1VO8Oje1t0fd+x25n7wMQcfuJuly3MZdcw4amoPsNQ23lrue+AFpv7tZQ4smsT11z9G+c4y8C0AnW8vJv+74UdInJKDA4hIsYh8KCJVIrLJzs3d7OuAiIwQkadsR9UqEVllO6tGzCEai6BfRmD8hXhxCDABWG0vhlhwFYHrsKCbz6+7d9vx7VMpKq5h3kcfc9wxWyjbmcroscfwzvsFgDLptMM59aRRVFfXctdfn6ffQWcydeq/qa2uBF+9lcVK69u7pwZDGxOfyVgRyQM+wPJWnAjcBlyNFfOmOc4E+mPllp0APAJcBTwf6ZqxCPqHgbtEJDWGY5vjDVXtpaq/BJbH+dw/LiTdcq5yDaUxKFpSoM29K4VOnd288vwCJp6wiT17kpl49hHcce8A9u/bjVf+dRVzPridnx5eRFnZHq665hEOLj6bN9+YhaW/XwDNx1EyGDoW8ZuMvQRIB05V1fdV9e9YQv4qEclp5rh7VPVnqvqE32EVuAY4VUT6NHfBWB2mLgPWiMgjInKOiAwSkVj0/Q1EynloiAFJt9Q5/oBM/vAJ0ij4M3OSeO3FRVx9+bfU17u46Y6BnP2b0VRVuRk94iA+ffsW3njpWg4p6sX69Vupr60Gb60dTmEx6FrQDZhQCoaOjR1IMKolIuOBd50hibHmPtOBI8MdpKqlIYr95nHN5gGJRdBvAqZhjbpPxjKp/AqoFJElIvJcDOc0tBauYeA6gAZh789e5be/dyUhScncd/e3vP3KbLKz6/nPa70ZftRY5szPR0Q48fhhLP7ir7z6rz9y8vGHQn0leKq5886neGXGC/g834F3DrA7UmsMhn0TIZ4OUwMIyiSlqiVALBn6DseKYbKquUpRtcoOeD/Jjk75uqpeq6rHq2pPoAtWgLNrgHnAgXvZUENrI13BNdi/EaS79wdJS2L8+HLmfPg5/ftVsHJVJ35+0lHMeK0QALfbxSknjUBEwFvDulXfcvOt/+T0M2/msGHn8eqrH+GrX2wHSvO0W1cNhtYjbg5TeYTODbvT3hdda0QKgBuA54LeDpoQ7Yj+V1jC/DJVvcy5Q1XLHAHOLlTV0dE2NFZKS0sZPnx4wzJ9enDuXUMTJNMe2UPA6F4cljmuZA4ZWM/yRV9w8eT11NS4OeO8w5k0eTSl220VEAooPbrn8tA959OzR2eWLF3HaWfcxJCh5/Gv596mvma2LfANhvZh+vTpDfIBazDaQpwDpIhWN13sqAH+5aIQJwyl65Qw5U0riqRgJXyqAK6MWF818nlF5Cs7o1SbICIvA11U9ahQ+4cPH64LFy5sq+Z0LHQDsBXUn7RErbX67M+WZ6z6fDz8WCHX3XQQVVVJFHSr5u0ZX3DY4J0478WamnqefO5j7rz/VTZt3gnA/n27s2zxM2RkZoJrBEhye/TUYABARBap6vCWnGP4oEJd8NblUdV19b6u2euJyDbgEVW9Nai8ArhVVe9t7vwiIsC/gXFYTqoRE4pHO6I3M20dBSkEGQau0eBKaxyF+KNh2t594k7i8ks3snThFxwxpowtW9MZduQxXHHdEKqrreiYAGlpyVx64bGsWzyNf0y7hIMP7MGwIfuTkewBbw3qmcOO0pl2OGSDYV8mbqqbbwjSxYtILyCTIN19GKZimWVOjEbIQ/SCPjFDshlagIAMtQS+Hda48fWz0Z27X7963n3jK3574XrcbuWhxw5k6M+OZeFXnXG6e6emJjP53KNZMf8Bpj94IXiqoG43H8ycRWHviVxyyV0sX/q85WVrMOxriCAud1RLFLwDHCci2Y6yM7FyfXzafDPkz8DlwDmq+nm0zY9WgA8SkZ0i8qmI/E1EfiMiw0LZ0ovI1dFePOi4DBE5XUROB3oC+/m3RSQjlnMaokGswGjuMfbkrHN0b+ntM7OFR6d9y5xP5jPg4Aq+WZ3NmLFH8+g/+qO4sW4jayTjcgl5eRm2+WUdn3/xNTU1dTz+xP84dNA5/PyY3/LaK3fjrZ8NWtKuPTcY9o64jej/DtQCr4rIWFuHPwV4wDmpanvAPunYngTciWXpuFFERjuW/ZpteZQ6+s3Au8BgoAhIwVLneLG8WBdjmVguAR5U1b2OSS8ifYFwScX3V21Mcmp09K2I70ug1s5A5dDh2/r76ir40/X9mfaY5Z8x8cTNTLt3Mb16VPhP0Hgu+95asWojD09/l2df/IzKyhoAevfuyg3X/ZqLLj7NdjIZgomlY2gN4qKjH9xLF74T3RhWel4Z8XoiUozlfDoGywLnH8AUVfU66nwPfKKq59nbTwO/DnPK81X16bDX29vJWNsxqhgYgiX4/Uu+XV1VtVVDuBlB3wb45gPepgJffYCPF/69HxdfVkRFRRKZmR5uv3Ell1+yliSXbVrZeL82eAvu2lXJ0y98wiNPvMeadVu49aZzuPnG80GSqPMoyanpiBiBb4gv8RH0vfdC0F/R4uvFm72ejFVVj6ouUdVnVfVqVR2rqvsBvYBfABtao6GGNsY10gqjIEm2a7fLsXYz6eztfLNkLqedspXKyiSu+vNARv/8KFas7twYciHIJTw3N5MrfncCqxZN5a0Z13HxuT+FunKor+CB+5+lqOh07rv3SrZtnQm6pv36bjCE4kcQjz5iPVXdqKpvAltb1iRDQuEaBa4+NLUjdtOz0MvLL67gzde+pk/vahZ9lcvQnxzJpVcfxobNWY78tYG3j8vlYsKxh9Gta64VJM1TwVtvz2bV6h+45k+P0rPwRE4/7QJmvj0Vr2eJLfS9oVpnMLQdcYxe2dZE2yqfiGwRkQeiqDumJQ0yJCBSCO5RBAh7hznmCSeUs2TRAiaft5HaWjePTu9L0bBj+NvfD8Sr/lSHTQV+A6p8/MaN/PeFqznp+GGoKq+89injT7iKwl5H89wzT4N3HuhGAuYADIY2Y68cphKOqFqlqkOxVDNTo6hrhl4dErcl7MVhWeC4uXM6wT+mr2HZV/M4ZeI2KiqS+MM1hzD0J0fy9ns9UUmx0xqGEvhKUpKbX0wYzv9evIaSZQ9z581ncUC/ArZsKaNTpgu8NeBZy6oVL7Fu7VdYYUEMhjZC6PiCHkBV6+OdbMSwr+G2Ha16g6sbVnRMZzgFN4ccUsurM1by+oyl9OpVw5KlOZxw2giOGn8Es2Z3tZKfuJMbEpc7TTP99OjemT9fdTKrF01l3oe3c/xRB0F1KdTu4JZb/k7/A4YyZvRIpv3tajZuXI+JrWNoG+JmXtnmJObjx5DAiKXKkQOsePeu/W2hbU9E2SqdiRN3snr5Au67ew2dO9fz2eed+dmxYxh30hjmLOhqJy5vjKBpjYQC/yQiMHLYAaSkJAEK3lo6ZSWTmZnK3HnL+f0fHqCwsC+HjzmM+++9nJISY5dvaEV+BJOxBkNopAfISHB1dwh8y0InLR2uvmoT61bN46brvyc728MHH+Vz+NFjGH/KSOZ/uZ81YetOtRd78jbcn0V9PD71N2xd9SjPP3EZJ58wgrS0ZObMXcYfr32Yfz1zK3i/AN9cPB4zyjfEk7jGo29zErNVhn0P2d8W+J0tgS/uBpVOp1zltiklfP/tfG64bj1ZWR5mvteFUT8bw4RTR/LpF93s+PipDXltGydwm74OZ2amMemXR/Da81dRumY6/3n6Cs489XBOP2EwVG+DmjLuuv1CDj64N1ddeRYfvj+NutpwvngGQ5TELx59mxOVw1SiYRym9gV8drpBLw1uGHYSse2lbu6fWsi0R3tSWWn51p1x+hauvfI7hg0ttx2zvA2RNK3F2+BpGzLGnjNBmSuJIydM4bMvVjYUZWdncOy4kZww4SdMOPF3dOvWvRX6bEhE4uIwNWR/XfjhLdFdr8v5CecwZQS9oZWxBT6A+r1mLQ/b7duTeOSxHtxzXy87IiaMGF7Ohedv5MzTN5OTUw8+X6PQR8Hntc4ZcN9qoKAHPB4vs+et5q33F/PWe1+zfGWjHcG554zjmaduAlcSNTX14BpKWlpW630FhnYlboL+oynRXS//vGhDIEwjMATCrc1ZLdox6P8CjAaGA2mqGtWkQGK+Zxg6EC7L6QpoUMPYKp0u+/m45eYfWPbVIq78wwby8upZsLATF11aTEHfo5h8yUDmf5mP+vX4TtVOgz7f1XhOx4RuUpKbnx1RxD1TzmLZ7Lv5bvGDPHLveYwfN4RTJhwGNTugpozXX36HvLx8xo0dwT13X8rCBW/j9RoLYUMo4mN1IyJ5wAdYr6YTgduAq7EShDdHBnABlm3x7L1quRnRG9oGrx0/xyZYDaM+qqtdzJiRz1PPFvDJp7kNVYcM3sPFF2zgV2duIjvb06jOQcHncah1HHF5Gq4T7GDlvN+FW+56ldv++kpAjby8bI4+aihjjxnJb393OUivlnXd0K7EZUR/WD9d+NFt0V2v8/9FSjzyZ+BaoI8/WqWIXIsVwbKgubSAIiKqqiJyGTAt2hG9EfSGdsIHXmcykkDh/O3qVKY/2Z2nnilgxw4rQ1VWlodJZ27h4gs2MPSwPQ79vVOnH0Loqw8caRADEbaVlvPxrBV88OkyPvhkOd+XlAIwasTBzJ01Ddxp+FS474EXGT36aEaMnEB6enqrfTOG+BI3Qf/xHdFdL+9XkQT9Z8AmVT3LUdYbWA/8QlXfiHgNI+gN+w6Oe883N1Ag20K6tlZ49dV8/v5Edz6b1TjKHzF8NxdP3sBZZ2wmM9PXKNx9PnvtoYlO3/8W0HDdUP8RZd332/jos+VkZ6Vz5mlHgLhZ9s0mBo66AoCUlGSGDxvAmDGHMnLkEEaOHE2fvj9BEtQr8sdO3AT9J3dGd73cs6NJJfioqk4JKq/EClXcbCpBu+5eCfqkaCoZDK2D4x51jbFi2fjW0+B8hZKaBmdPKuPss7ezcmU6jz9RwDPPdWPBwhwWLCzmqj8dxOmnbmPSGZs56sgy3G63JdRdSfbaP9r3NI7+cbwFhKBf367069vV2lAveOtJc9Vz6QVjmTVnNUtX/MDsOUuZPWcpVupOWLzoKQYNORRIZdXqzeTn96fLfv1b8bsztC1x9XrNw5qADWanvS/uGEFvSBykJ7jzQHeDfhekTndTVFzLg1PXc9df1jNjRj6P/6M7s+d04p9P9+CfT/dgv/3qOOUXpZx0QilHH7nDMdJ3gSY5hLzTbNOfFN3/OQj7zeKAfl15+K9Wzoddu6uYPXcV879cx/wv17Fs5UaK+yRD5XpwpXDhBdcz64tl9OvXk6FDBzN40KEMGTKYIUMOo2fhACRBvScNEYj+d+siIk6Vw3RVnR5UJ5QqRcKUtxgj6A0JRgZIBkgB6AbQH4JMKSE9A8799Q7OPbeUb75J598v7se/X9qPb9dkMP3Jnkx/siepqV7G/nwnE0/cxkknlFJQUOcQ9O6mI/uQun3/iN/xBxchNyeDCeMGM2HcYLvMZdWvrwIqyUgVMjJSWLduI+vWbeTll99uOPyqK87k/qn/AqCsbCclJSUMGFBEWlo6cRwxGlqFqFVz2yOoinYCuSHKOxF6pN9ijKA3JC5SaI3ydQ1QiSV8axoFsbgYUFTLrbduYMqUDSxdks6rr+fzzsw8FizM5q13uvDWO12Qy5SBh1ZwxJhdnHxSKUcdWUZKsn/07rNH+/6Rvbfx/AE2+04dfzisfTNn/BGPx8uK1Zv5emkJi5ett9bLSxjQJxPKXwZXMjP/O4df/eZ+XC4X/fr1oGhAX4oPOYKioiKKiooYNmyYpYoytD9CPOPYfAMMCDi9SC8g094Xd4ygNyQ4AnJgwCa6FKi2tn2WE5aIMmhwNYMG/cCUm39gy5Yk3nyrM//9Xz7vf5jHkqXZLFmazWPTe5GT4+HYsWUcP247x43bTmFhreOtwT/KV3A5dfl+9Y636cRuCIOGpCQ3g4oLGVTcE84YDYCq4vUpeOvA58FXV8lBBxSw9rttrFmzgTVrNvDGm58DkJqaTGXZ/yA5A1xJ3Dd1NikpKfTv358DDjiAvn37kpqa2hpfuCEktq9GfHgHuEZEslV1j112JtZN/Wm8LuLEWN0Y9m10PbC1QeCHGnFXVgiLF2cw873OvPZ6PsuWZwbsLy6q4KdHlDNyeDmjRpZTNKACl/itc7RR8DeM+P02/M2M+J0PA+d/rCGef2N5bW09367byspvN7Ny9RZWrNqI1+tjxjN/AARF6NR7Mnv2VDtOI/Tu3ZX+/Qq59He/5dTTJwOwZ88eamtryc/PN3MBNnGxuhl6gC6cdX9018s6OZLVTR6wAlgG3AP0Ax4AHlTVGx311gCfqupkR9l4rJH/8cBk4Jf2rgWquj7sNY2gN3QIdC3o9iBLmqB72xbI69alMfPdPN59L5ePPsmloiLwxTYnx8OoEeWMGVXOmNG7GDWinLzcepqM4J1qnoDJXV+I8qCQDaHeBEQC3yxs6uo8PPT4h6xdX8ra70tZ+91W1v+wHZ/Pqjv9oYu58DfHgbj457MfM/l3D5GenkrvXl3p3bsbvXsX0KvXYHr36c+55577o1MHxUfQH6gLZ0WTYA8k6xfRhkB4mMAQCFOcIRBE5HvgE1U9L6isT4hTnq+qT4e9nhH0hg6FfgNaHlTm/+80Ffx1dcL8+VnMnZfNvPnZzFuQzQ8/pDU57YCDKxk9spwxo3YxZnQ5xUUVuF2hRv1BJpxNHgJBI/0ASx8NKegtXI11UOrqPKz/YQdrvtvGoUU96dWzM4ibR578iBvueJny3U0zcGVlpbF780uIKwlcLkYfeSXl5VUUFHSme/cuFHTLp3uP/SjoPoxhw0ZSXFwc4cveN4iboP88YoI963qZJ5mgZvHACHrDXqH1oIv8G/YqhJesXbZxYwpz52UzZ242c+flsHBRNrW1gfrZ7GwPI4fvtoT/6F2MHllOfn6947zOkX+w7b5TyAdZ+QTo/4P74Th3SFwN59u9p5ofNuygZGMZJRvKKNlYRr3Hy1+nnNUQayi3z0UhHwgAt1w/iSk3ngPA2+8u4ryL7iO/cyfy83Pokp9Lfn4O+fm55Od34rLLfklmZj64BlFSUoKIkJOTQ1ZWVvu+PdR9BL46JH18nAT9Q1HVlcwTEk7Qm8lYQ8dHkkFGB5b51mMlG3fWs3TnPQs9nFa4k9NO2wnqo65OWLw4s0Hwz5mXw/ffp/Hhx5358OPODYf37l1D8YBKDimuoHhAJcVFFRx8YAV5efU0jMgb7PmhYdQe8CBw6vUdbwINwj9YDRSanOx0DhnQk0MG9HT0zUY94Kln7YI72bJ1F1u2lbN56y62bNvD5q3lbNlWzrDizlC1GcTNto0llJaWU1paHvJavzvvp+CqANdGzj3nT3w6a2nDvqysdHJyMsjJzuCUiT/hztsvxAo7sYu/3P0vMtLTyMhMIz091bGkMW7sCLp0yQURNmzYRnl5BenpqSQnJ5GU5LbWbhcpKclkZKQ2fnd+5zhvPdRsj/g97RX78JyHEfSGHyeuPuDbTMPo2DUKdCX4nMLMMuFMSYURI6sYMbKK3+tmALZsSWbuvBzmzs1izrwcFizMpqQkjZKSNGa+lx9wqa5d6zj4wEr696umf78qa71/Jf37VdE5r7bRmMMv3IM/I83MAQT7A7hAQjh+Af7MX/4u53fOIj8vk0MG9Gj8HoJtxVX51WkjOP6oAewo28P2sj3sKKtgx85KdpRVULarkixXOVRacbi6dEqisEceu/fUsKeihoqKaioqqtnEDkq3bLYfHi42rv2evz0cGEzOyZwP76bLyIMBuOuO6Tz6xDsh6w0e2JevZz/QIOQzCv4PEUhyu3G7hRuvOjHsNfYKETsRzr6JEfSGHy+u0VjC1B8+uRiY46jgHMHZgtCWygXdvZx88k5OnlgGKB4PfPddGsuXZ7BiZeOyanUG27alsG1bCrO+aOrd3qlTPf32r258COzvX1dRWFhlzQOo2k0JIdyd7XOqgyBoXsCpEnIB9ryFQ/AHIP7UeZCc7KagWycKuuYQMHcQ4s3i5ScvbjjWp0pllYfdFdWU764iMz0FPJblUPfOyTxw2xlUVddSXVNHdXU9VdV1DZ+7ZddD1RYAuua6KDqogOrqeuo9Xjwen732kpXuhqptIIIqVFfXBbSnpqYuuImxsw+P6I2O3mAIwAdUgZaBb4OjPPh/0oy3ukP/7/PBxg0prFqdztp16axdm8badWnW53VpTSx+nKSk+Ojbx34I7F9Fn97V9OheS48eNXTvVkOP7jVkZznNSoMseYInoQOsf4JCOge8MTj63MTCKOgtI5gG81Gx0+q5CHxLCf6Ogssg7PcaEmm4rqpSV+fD4wNPfT0ej4/09BQy+1zach39sIN04exHo2tR2jijozcYEhsXkAWSBa58kFQ7JWKousEjPP+ovzEAlssNvXrX06t3HWOx1UK2QFOF0tJkS/CvtQT/uu8aHwJbtqSy+ttMVn+bSTiysjyW8A9Y7AdC9xp6FNTQvaCGjAzHJDAQ9o0gUp2G9mvgdriJYlXCPxTjG9pFxEVqWhKp4rbDaLitBDXxOXs8HabaHCPoDYZwiC1gXWNAS4Fk8K1o7oCg7aaCv6Ga+hCBrt08dO1WwZgxFU1UIZWVLtY5Rv8bNqayaVMKmzansGlTKps2p1BRkcTqb5OafRiA9UDokl9Pfn4d+Z3rye9cZy/1dMmvIz+/nvy8OvLy6umU4yG3Uy25ufVBoSKaEfoR/QTCWTtFEPThNA4BahRpXPu/a3FbT1mJp4jbd1U3RtAbDNEg+1lr9zDQVVjqiDTwlTV3EGEFWfDoUNUhvKxjMrOUgQOrGDjQaQKpAYeUl7sbhH7j2n4YbE5ls72uqEiioiKJ79fvXcKU9HQvuZ3q6dTJQ24nDzk59WRlesnO9pCd5Qn67HF8ric720Nmhpf0dC/paT7S072kpnps46ZQ30sso/sg4duQWlIoLU3j9bcKYjhnmOuYyViD4cdCKsigxk1XDZYne5gQx01i3kc5QvULwiaDyMYCEcjN9ZGbW01xcXVwxYZrqUL5Ljc7diSxoyyJHTuS2VGWzPbtyQHbO3Yks6s8iV27kijfba2rq91UV7vZvCV0s/cWESXNFvrpaT5SUny43UpSkrW4XfY6oMzXtMwNSUk+3G5wu5XaWhdVVW6qqt3WA60kjW3b4hwLaB+ejE0YQR9LVnSDod2RNCDMvJsAugwrlzOBE5shcTwExKGOaFLNF6IegaNkhzWNCOTm+cjNq6M/TiuU5iaTQVWpqnI1CP6dO5PZs8fNngoXFRVJ9mc3FRVu9uxJcnx2s8feX1npprrGZT8wXNTXuxoeHq1NerqXnx5RznsfxOFkQlx19LHKOxHpBDwInIw1ofQm8HtV3dHccQkh6B1Z0VdgZUXvD9yP1ZEbmznUYEhs5FDHZ3vtnR2ucoiyEMLYL3CCrVSCR5wRR6ASWoViO46JCJlZkJnloSceoCb0dUMSep/XS4PQr6524fGItXgFr1catkN9bijzCl4veDwuuxzS0nxkpPvIzPSSkeGjV2EtPXrU4XILEq/52Djp6Fso714CDgYuwHqNvAd4HfhpcwclhKAHLgHSgVPtDOjvi0gOMEVE/hqcFb20tLQ92tjqTJ8+nYsuuqi9mxFXOmKfIIp+aS2w2LHtHG3bo9moXlaaXt7IAAAL60lEQVQD9faBu6Ic9Td7emnavnDnDDhGQ9SJbEXjToKsbMjKdtj7N7l+JAudRpPK5mkYgXeJUDEKJIrrRc1eybuGFoiMAY4DjlTVz+yyjcA8ERmrqmHfXRLCjn5vs6JnZmZqZWVlG7eyldEl1NVVkpLiDj3KsioFrf2bwfVDHB9qFBbNhFgkK4mQo7vGzz7A1ex1nNYY4doc5pgmdaI4Z8T+hbuuBlVRh5gLc86G0Mnh6oQ5f/D1I7Un0u+vzTk5Rfg+orm3Qh0X4vsKS4R7qPljIiCCq/d1VaravFlSBIYPL9KF85+O7pLu0ZHCFO+VvHPUuQ24SFULgsrXAa+p6tXhrpkoI/oBwEfOAlUtEZEqe1/IjncYfKtAK0hJwhYOwX+0UIKrGZvmZgVekPNKkz+Mc3+wmZyzXZFC71prV3Ntiug0oyHaGXwd5znDmQAGO+yE/65Uw+8LbrM6zxkyfg2OtobqR4S2qYY4v6Ntzn0aptx5TKjzheqvL8Tv0aSdjnrh7tGAz0EPm4CfKcz9Hu58GqZucP14T57G73yxyrsBhM5AtZKgjFXBJIqg36us6FVVVbUi4nzvLQXiHMGoXehCx+iHk47YJzD9SnS6ALZNLC2e+V206Jt3xTUqWhVQWoTk4Hsl76I8rl9zDUoUQQ+h39VCKv1UtWnAcIPBYGglVPX4eJ8yRFk0rsIxHZcoPr1tnhXdYDAY2olY5V2443IjHJcwgr7Ns6IbDAZDOxGrvGtynE043X0DiSLo3wGOE5HhIvKhPSmxDPAAsyIdLCKdROQpEdkpIuUi8ryI5Ec6rq0QkWJ/v0Rkk4jcJtK8P7WIjLD7tMY+bpWI3CIiCaO2iqVfQce7RGSRiKiIxClweMtoSZ9E5FQRWSAi1SKyQ0RmikiLrD3iRaz9sv+T79n9KRORD0RkVFu0ORIicoCIPC4ii0XEKyKfRHlce8sLv7zLdpSdCVQDn0Y4rkBEfuIvEJHhWPr50AH7/ahquy9YkwxbsDwyvgSm2p/rgDuiOH4m8B1wGnAKsBqY1d79cvRtE5aDxDgsG9rKSP0C7gM+Ay4EjgJ+D5QDr7R3n1rSr6BzXGT/7gqcuC/3CcuBpQa4zf69TsHyfOy0r/YL6IWlEvgIOMFePrHvwz4J0K+JwA/ADCzLk0+iPK5d5YX9e2wG3gfG2v+DiuDfA1gDPBmi7euAU7G8Y1dF0/Z2/aGCOjAVqMd6qm0Gbgf+hOU/ntPMcWNsQfEzR9lIu2xsAvTrz1i6tRxH2bVR9Gu/EGUX2f3qs6/2y1E3D8taanICCfpYf6suwB7gwvbuQ5z7dQlWhpLcoN/NC/w2Afrlcnx+ORpBnyjyAii2H6BOeecOqvM98HRQWS7wFNYDeDfwAtAl0vUSRXUDMAxrtJquqt1V9Sbg31geZEc2c9x4YKvanmIAqjof64k9vjUbHCXjgXc10NvtRSL0S1VDuf9+Za+7xq95MRNTvxzcDnwBfNgKbYuVWPt0hr1+prUa1kJi7Vcylvq0wlFWYZe1e4Qv1WjdfwNICHmhqitU9edOeadBcW5Uta+qnhdUtktVz1fVXFXNUdVJqhrRHDaRBH2TCQVVLcEadTTnDBCzE0EbEWu/QnE4lkfOqvg0rUXE3C8RGQScD/yx1VoXG7H2aRTWbzJZRDaISL2IzBORw1uvqXtFrP16xa5zv4h0FZGuWG/eO7HUJfsiiS4vWoVEEvSt4UTQ3HFtRVzaJyIFwA3AcxomFkYb05J+TQMeUdU1cW9Vy4i1TwVYgaZuxFI3noSlA58pIt3i3cgYiKlfqroJOBpLl73VXk4FjgvzxrkvkOjyolVIJEEPbexE0Ia0qH0ikgL8B+u1+co4tqul7HW/ROQsLKF4R2s1qoXE8lvZ+QeZrKrPq+pMrIkyL3BZ/JsYE7H8Vt2xdN+LsNQa4+3Pb9mxWfZVEl1exJ1EEvRt7kTQRrTIGUxEBHgWOASYoKo749u8mNnrfolIMnAvVmhVl4jkAjn27swgc7P2INbfyp9m6hN/gf3WtQhr0q29ibVf12B5z5+uqjPtB9hpWA+wRFO7RUuiy4tWIZEEfZs7EbQRLXUGm4plRjZRVROhP35i6VcmUAg8gPWH20ljLN8XaZxsbi9i/a1WQti4vbFMGMabWPs1AFiuqvX+AlWtA5ZjxVDfF0l0edEqJJKgb3sngrYh1n4hIn8GLgfOUdXPW6+JMRFLvyqwdL7O5Wx73/XAr1qnqVET62/1JpZQP9pfYGcCGkZAUPp2I9Z+rQcOtVWHAIhIKnAolunfvkiiy4vWob1sYEPYlba5E0Ei9wuYhDVKfAoYHbQ0sbHfV/oV4jx9SRw7+pbcg6/bx/4ay7HoUyw/gbx9tV9YD6p64C27TydiCcN6YHAC9CsDON1e5mC9afi3M5r5rRJWXrTad9XeDQj6AdrUiSCR+wU8TUPw9SbLee3dp5b8XkH7E0bQt/AezAIeA3bYx34ADGzv/sShX8dgeWiX2cunwFHt3Z+geyfU0reZPiW0vGiNJSEyTBkMBoOh9UgkHb3BYDAYWgEj6A0Gg6GDYwS9wWAwdHCMoDcYDIYOjhH0BoPB0MExgt5gMBg6OEbQGwwGQwfHCHqDwWDo4CS1dwMMHQcR+RLrnvIH8ioAugFLg8peAF7Ccqcfq6pftnFTmyAi07C8KU8SkQFYgcoi8TaWB+z5wBCNLeORwdDqGEFviAt24KtCoJva7tYi8gxWLJHBjrJ/YiWA74IVLXBt+7S4ERHpD1yMlcELrITlYxxVhmMlS7kBK4wAjnpbsZKN/BrLrd5gSDiMoDfEiwLgBQ2MqTEYWBJUVg7MUdW1WMGyEoErgMWquhCsvJzAXP9OERlhf3xdVVcEHywiz2LFZzeC3pCQGB29IS6oaomqXuHftpOMFNE0TO91wAwRqRCRzx31HxGRjSKiInKkiLwkIutFZIWIjBSRIhF5UUS+E5ElInKo86Qi4haRq0XkS3v/ehH5r4j0bK7ddtjdc7DUSeEYAtQQPlfvi0BxAuWINRgCMILe0FoUAynA185CVa1V1aFYERSXOsovxRK2dcARgD/lYBbwuL09CStBRDZws/9YOwvXDKxIi2NVdRDW28RI4K4I7RyNFc1wVjN1BgPLVNUbZv/XWFEQj49wLYOhXTCqG0NrMcReN0m8ISKZWIkelgbtGoSl977XVvfUiEiJXfdOe7KzVkTWE5jI+XKsfKa9VNWf1q8SawI4OUI7R2OFtV0SaqeIuLHSOD4f7gSq6hORJfa5DIaEw4zoDa3FYKzcostC7DsE694LFq4DgTfVkboO6GWX1TrKegAbHNu/B95W1e0i0klEJmBZw7iBv0RoZw9gt1op8kIxAEgj6M0kBKX2uQyGhMOM6A2txWBgtapWh9g3yF43PAREJB/oDsxzlOUAvQmcGE3Hylf6d3v7UHs7TUQWA7XAt1gj8BfVStLdHGn2MeEI+2YSRDWQHqGOwdAuGEFvaC0GY6WuC8VAoMS2bvHjF/7OUb5/wnVpUJmLxhF2ob3+g6q+EkM7dxCoBgpmsL2OJOg7A9tjuL7B0OoY1Y0h7ohIIZBPeHXHIELr5z2A03xxIJaefXlQGTQK3m32ultQG44VkfFRNPcbINlucyiGAN9F8WawP+GtcgyGdsUIekNrEEndMZDQ+vlVQbrygcA6Va1ylA0CNqrqDnv7K6yHxgUikgUgIgcCDwHfRdHWz+z1yDD7BxNBPy8iucBBjnMZDAmFEfSGuCEiSSKyACtJNsCDInJNUJ3uWKP9c0VkqmNXOOEfPPIfCOSJyHwRcdnWOSdjqWDWisgXwAPAJFX9JlKbVfV7YD5wUoj+FABdiay2OQHLLPS1SNczGNoDkxzc8KNHRM7DegPoHvT2EO3x7wDbVfX/4t02gyEeGEFv+NFj28ovBf6pqvft5bFDsKyCDlXVNa3RPoOhpRjVjeFHj+3x+htgr0fzWDF+zjdC3pDImBG9wWAwdHDMiN5gMBg6OEbQGwwGQwfHCHqDwWDo4BhBbzAYDB0cI+gNBoOhg2MEvcFgMHRwjKA3GAyGDs7/A1GLIIn9iQ9JAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Visualizing density plot of all simulations\n",
"PriceLimitSim_helpers.PlotInvHeatMap(t, Q, Q_AC, lower_cutoff, Nsims)\n",
"PriceLimitSim_helpers.PlotTradeSpeedHeatMap(t, nu, nu_AC, lower_cutoff, Nsims)\n"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Visualizing histograms of price related variables\n",
"PriceLimitSim_helpers.PlotPriceHist(X, Q)\n",
"PriceLimitSim_helpers.PlotPriceACHist(X_AC, Q_AC)\n",
"PriceLimitSim_helpers.PlotPriceDifHist(X, X_AC)\n",
"PriceLimitSim_helpers.PlotIHist(I)"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.3"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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