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Optimal execution with a percentage of volume target (Chap 9.2 of Algorithmic and High-Frequency Trading (c) Cartea, Jaimungal, & Penalva 2015 Cambridge University Press)
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Targeting Percentage of Market's Speed of Trading (Chapter 9.2)\n",
"\n",
"This file implements the optimal excusion strategy when the agent targets a percentage of the speed at which the markt participants are trading. The theory is covered in Chapter 9.2 of\n",
"\n",
"<em>Algorithmic and High-Frequency Trading </em>\n",
"<br>(c) Cartea, Jaimungal, & Penalva\n",
"<br>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",
"$$\n",
"\\mathbb{E}\\left[X_{T}^{\\nu}+Q_{T}^{\\nu}\\left(S_{T}^{\\nu}-\\alpha Q_{T}^{\\nu}\\right)-\\varphi \\int_{0}^{T}\\left(\\nu_{u}-\\rho \\mu_{u}\\right)^{2} d u\\right]\n",
"$$\n",
"\n",
"Here $\\rho$ is the target ratio of the market speed, $\\mu_t$ is the market trading speed, $\\nu_t$ is the traders' execution speed, $Q_t^\\nu$ denotes the agent's inventory, $X_t^\\nu$ is the cash process, and $S_t^\\nu$ is the midprice; each is assumed to satisfy the SDEs:\n",
"$$\n",
"d Q_{t}^{\\nu} = \\nu_{t} d t\n",
"$$\n",
"$$\n",
"d X_{t}^{\\nu}=(S_{t}^{\\nu}-k \\,\\nu_{t})\\, \\nu_{t} d t\n",
"$$\n",
"$$\n",
"d S_{t}^{\\nu}=-b\\,\\nu_{t}\\, dt+\\sigma \\,dW_{t}\n",
"$$\n",
"and $W_t$ is a Brownian motion.\n",
"\n",
"\n",
"In the double limit of first ensuring full liquidation, and then forcing the tracking penalty to infinity, Section 9.2.3 shows that the optimal strategy is given by\n",
"$$\n",
"\\lim_{\\varphi\\to\\infty}\\lim_{\\alpha\\to\\infty} \\nu_t^*\n",
"= \\rho\\,\\left[\\mu_t-\\tfrac{1}{T-t}\\int_t^T \\mathbb{E}\\left[\\mu_u|\\mathcal F_t^\\mu \\right]\\,du\\right] + \\frac{Q_t^{\\nu^*}}{T-t}\n",
"$$\n",
"\n",
"Furthermore, when the market's order-flow rate $\\mu_t$ satisfies the SDE\n",
"$$\n",
"d\\mu_t = -\\kappa\\,\\mu_t\\,dt+\\eta_{1+N_{t^-}}\\,dN_t\n",
"$$\n",
"where $N_t$ is a Poisson process with intensity $\\lambda$ and $\\eta_1,\\eta_2,\\dots$ are iid exponential random variables with mean $\\eta$, then we may express the optimal trading rate as\n",
"\n",
"$$\n",
"\\nu_t^*=\\rho\\left[\\mu_t - \\left((\\mu_t-\\psi)\\frac{1-e^{-\\kappa(T-t)}}{\\kappa} + \\psi(T-t)\\right) \\right] + \\frac{Q_t^{\\nu^*}}{T-t}\n",
"$$\n",
"\n",
"where $\\psi=\\frac{\\lambda\\,\\eta}{\\kappa}$"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"# Importing Packages/Setting Global Parameters\n",
"import time\n",
"import math\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"with __import__('importnb').Notebook(): \n",
" import TargetRate_MarketSpeed_Helper\n",
"from scipy import interpolate\n",
"np.random.seed(30)\n",
"np.seterr(divide='ignore', invalid='ignore')\n",
"font = {'family': 'serif',\n",
" 'style': 'italic',\n",
" # 'color': 'darkred',\n",
" 'weight': 1,\n",
" 'size': 16,\n",
" }"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Initialize parameters"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"# Time grid\n",
"T = 1 # Expiry\n",
"Ndt = 1000 # Number of time increments\n",
"dt = T/Ndt # Time change increment\n",
"t = np.arange(0, T+0.000001, dt) # Time increments vector \n",
"\n",
"# Market Impact and Aversionn Parameters\n",
"k = 0.1 # Temporary Market Impact\n",
"rho = 0.05 # Target fraction of market speed\n",
"b = 0.1 # Permanent Price Impact Factor\n",
"\n",
"# Price Variables\n",
"S0 = 20 # Initial Midprice\n",
"sigma = 0.5 # Volatilty (recall this is an artihmetic model)\n",
"\n",
"# Volume Rate\n",
"eta = 10 # Jump Size (Exponential Jump Size)\n",
"lam = 50 # Rate of Arrival of Jumps (Poisson Process)\n",
"kappa = 20 # Rate of Mean-Reversion\n",
"\n",
"psi = eta*lam/kappa #\n",
"\n",
"Nsims = 10000 # Number of Simulations\n",
"\n",
"idxfig = [0,1,2] # Index of path to be plotted"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Strategy Simulation\n",
"Next, we look at how the strategy performs along simulated paths. We focus on the double limiting case of first ensuring all inventory is liquidated, and that the agent wishes to trade very close to POV (percentage of volume).\n",
"\n",
"The simulation proceeds by using the following steps:\n",
"* Decide on liquidation speed based on current inventory, and recent order-flow \n",
"* Update inventory and cash\n",
"* Update market midprice and other agent's trading speed"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"# Initializing variables for simulation base on computed strategy\n",
"\n",
"mu = np.full([Nsims, Ndt+1], np.nan) # Trade Speed Matrix for Maket\n",
"S = np.full([Nsims, Ndt + 1], np.nan) # Midprice Matrix\n",
"Vwap = np.full([Nsims, Ndt + 1], np.nan) # Volume Weighted Average Price Matrix\n",
"Y = np.full([Nsims, Ndt + 1], np.nan) # Accumulated Transaction Matrix\n",
"V = np.full([Nsims, Ndt + 1], np.nan) # Traded Volume Matrix\n",
"S_hat = np.full([Nsims, Ndt+1], np.nan) # Execution Price Matrix\n",
"Q = np.full([Nsims, Ndt + 1], np.nan) # Inventory Matrix\n",
"X = np.full([Nsims, Ndt + 1], np.nan) # Strategy Cost Matrix\n",
"nu = np.full([Nsims, Ndt + 1], np.nan) # Optimal Liquidation Speed Matrix\n",
"corr_mat = np.full([Nsims, 1], np.nan) # Market Trade Speed VS Liquidation Speed Correlation Matrix "
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"# Initial conditions\n",
"mu[:,0] = psi # Setting Initial Market Trade Speed\n",
"S[:,0] = S0 # Setting Initial Midprice\n",
"Vwap[:,0] = S0 # Setting Initial Vwap\n",
"Y[:,0] = 0 # Setting Initial Accumulated Transactions\n",
"V[:,0] = 0 # Setting Initial Trade Volume\n",
"Q[:,0] = psi*rho*T # Setting Initial Inventory\n",
"X[:,0] = 0 # Setting Initial Strategy Cost\n"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"for m in range(Ndt):\n",
"\n",
" # Time Remaining until Expiration\n",
" tau = T-t[m]\n",
" \n",
" # Determine optimal liquidation speed\n",
" A = (1-np.exp(-kappa*tau))/kappa\n",
" B = (A*(mu[:,m]-psi) + tau*psi )/ (tau)\n",
" \n",
" nu[:,m] = rho*(mu[:,m] - B) + Q[:,m]/(tau)\n",
"\n",
"\n",
" # determine execution Price\n",
" S_hat[:,m] = S[:,m] - k * nu[:,m]*dt\n",
" \n",
" # Update Inventory and Cash Process\n",
" X[:,m+1] = X[:,m] + np.multiply( S_hat[:,m], nu[:,m]*dt )\n",
" Q[:,m+1] = Q[:,m] - nu[:,m]*dt\n",
"\n",
" \n",
" # Update VWAP\n",
" Y[:,m+1] = Y[:,m] + np.multiply(S[:,m], mu[:,m]) * dt\n",
" V[:,m+1] = V[:,m] + mu[:,m] * dt\n",
" Vwap[:,m+1] = np.divide(Y[:,m+1],V[:,m+1])\n",
" \n",
" # Update Midprice\n",
" S[:,m+1] = S[:,m] + b*nu[:,m] * dt + (sigma*np.random.randn(Nsims,1)*(dt**0.5)).reshape(Nsims)\n",
" \n",
" # Update Other Agent's Trading Rates\n",
" dN = [np.random.rand(Nsims,1) < (1-np.exp(-lam*dt))]\n",
" etaSim = -eta*np.log(np.random.rand(Nsims,1))\n",
" mu[:,m+1] = mu[:,m]*np.exp(-kappa*dt) + np.multiply(etaSim, dN).reshape(Nsims)\n",
" \n",
" "
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"# Calculation the correlation between Market Trade Speed and Liquidation Speed\n",
"for i in range(Nsims):\n",
" corr_mat[i] = np.corrcoef(nu[i,:-2], mu[i,:-2])[1,0]"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
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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 results \n",
"TargetRate_MarketSpeed_Helper.PlotPath(t, T, mu, idxfig, \"Order-flow $\\mu_t$\", lw=1)\n",
"TargetRate_MarketSpeed_Helper.PlotPath(t, T, nu, idxfig, \"Trading rate \" + r\"$\\nu^*_t$\", lw=1, midline=[0, np.full(t.shape, Q[0,0]/T)])\n",
"TargetRate_MarketSpeed_Helper.PlotPath(t, T, Q, idxfig, r\"Iventory \" + r\"$Q^{\\nu^*}_t$\", lw=1, midline=[0,Q[0,0]*(1-t/T)])\n",
"TargetRate_MarketSpeed_Helper.PlotPath(t, T, nu - rho*mu, idxfig, r\"$\\nu^*_t-\\rho\\,\\mu_t$\", lw=1)\n"
]
},
{
"cell_type": "code",
"execution_count": 8,
"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"
}
],
"source": [
"# Visualizing difference between cost per share and VWAP\n",
"TargetRate_MarketSpeed_Helper.PlotHist(X[:,-1]/Q[0,0] - Vwap[:,-1], 'Exec. Price - VWAP', bins=100)\n",
"# Visualizing the correlation matrix\n",
"TargetRate_MarketSpeed_Helper.PlotHist(corr_mat, r'$Corr[\\nu^*_\\cdot,\\mu_\\cdot]$', bins=100)\n"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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TReRpEZkrIhcX3G8Tkd+Y+9NFZLy5Pl5E1orII+bzo57y6u2y+04R2Rq4meRItdeoPXYoICAgYPChj2ziZmuSq0lcsjuBGSIyTVXd0+7PBV5T1d1FZApwBXC6uTdPVd/YbH69XbF5svl6mYjcTXIuXDjMISAgYHBD6EvvlEOAuebcBETkBuAkwCXxk4DLzPcbgR+KOSWnt1hvsVX1HuDP1DmdIiAgIGDwoElTSnPa+k7AAud3p7lWGMYc57YcGG3uTRCRh0XkHhF5W0+ZNUXiIjJSRC4RkR+KyHHmcIgLgOeA05pJIyAgIGDAwmrize0nPkZEZjqfqQWp+dAmw7wM7KKqB5GcvfkrERnZSPRmzSnXA6+RuBN+FPgCMAQ4SVUfaTKNGhjb0Uxgoaoev77pBAQEBGwwmreJL1bV9gb3O4Gdnd/jqJ07tGE6RaSFxDS9VFUV6AJQ1VkiMg/Yk4QnC9EsiU9U1f0BROSnwGKS3mJlk/Hr4TMkp0E37GkCAgICNiqsi2HfYAawh4hMABYCU4APeGGmAWeTKManAHepqpozGpaqalVEJpIsrHyuUWbN2sTL9ouqVoHnN5TARWQc8B7gpxuSTkBAQECfoI+OZzM27guA20mU1N+q6hMicrmInGiCXQOMFpG5JGYT64Y4CXhURGaTTHh+vKetTZrVxA8UkRXmuwBbmN+SyKzro0l/F7iIZBOtgICAgP5DH29Fq6q3Ard61y51vq+jwClEVX8P/L43eTW7d0qpN4n2BBE5HnjV2HzeXhRm0aJFtLdnZqepU6cydao/fxAQELC5oqOjg46ODvtzzAYnuDnsndKHOBw4UUTeTbKR1kgR+YWqnmkDjB07lpkz69ryAwICNnO4ip2ILN7gBDeTvVP6BKp6iaqOU9XxJEb/u1wCDwgICNikkCb3TRmAe6f0lyYeEBAQMLCwfgsm+x39TuKq+nfg7/0sRkBAwOYMoXj5zSBAb/cTv7Dg8nJg1oYs+gkICAjodwxSTby3NvF24OMk6/53AqYCbwd+IiIX9a1oAQEBAZsQ0uRngKG35pTRwMGqugpARL5C4pA+CZgFXNm34gUEBARsAggD8iT7ZtBbEt8F6HZ+l4FdVXWtiHT1nVgBAQEBmxiD1JzSWxL/FfCAiNxC0nedAPxaRIaT3ys3ICAgYHBhcHJ4rw+F+C8RuRU4wlz6mKraFTkf7FPJAgICAjYZZNBq4r2a2BSRNpIzNYeTbJ34bhG5tHGsgICAgEGAzWRi8xaMSyFmz9uAgICAQQ9h0GrivSXxcao6eaNIEhAQENCf2Ez2TrlfRPbfKJIEBAQE9Cf67ozNTYrekvgRwCwReVpEHhWRx0Tk0Y0hWEBAQMAmgzWnNPNpJjmRyYYn54rIxQX320TkN+b+dBEZ793fRURWicjne8qrt+aUd/UyfEBAQMCgQF+ZxM3ZwVcDx5KcpTlDRKapquuGfS7wmqruLiJTgCuA05373wFuaya/3roYzu9N+ICAgIBBg76b2DwEmKuqzyXJyg3ASeTX0pwEXGa+3wj8UETEnLP5XpJzNVc3k1lT5hQRuc/8XykiK/z/zaQREBAQMKDRvIvhGBGZ6Xz8I8d2AhY4vzvNtcIw5kzO5SRnbg4Hvgh8tVmxmz2e7QjzP5yHGRAQ8PqDSG/2Tlmsqu0N7hclpE2G+SrwHVVdJU2ODJoi8Tpb0GY5q367qdwCAgICBir6zpzSCezs/B4HvFQnTKeItJAsnlwKHAqcIiJXAlsDsYisU9Uf1susWZu41cD3At4MTDO/TwD+0WQagxwx6BxgCMhubPSlW7oAWA6yF9C6cfOqK8M8kvfKRwRMBBm1iQUKCNiI6LsmPQPYQ0QmAAtJjqD8gBdmGnA28C/gFJIjKhV4WyqOyGXAqkYEDs2bU75qEv0ryVa0K51MftdMGoMa+jTES0hHRLIIZHuQCRshr6Wgz4JWzIUZELWBHMQmW42gnUknonGDQE+BlEDeADJ808gVELCx0IcrNlW1IiIXALcDJeBaVX1CRC4HZqrqNOAa4HoRmUuiKU1Z3/w2dCvabmD8+mY+4KEvg74AcRXUfCAhr+glkH+D7AqyYx/ktQ50dpJHXHHyihIyjaaDjATZl402CtDFoHONDFWnIylCBFEJZLapjzcCbRtHroCATYE+bFaqeitwq3ftUuf7OuDUHtK4rJm8ekvi1wMPishNJGrpycDPe5kGIjKUxAzTZmS4UVW/0tt0+gT6ArAKZB+SThNAQWdkZBpXEkJTOzdhrksJoudBXkzItgYjDOn2JMMzoEsSsrZ5WhJXkny0BNEykAdAxoLsvoEFd/NfBfpEUkZL3jb/uqhCHIMoRArxwyDbgOzZQ7w4KS9t6z+S0aUkJsUJIANprr1iyjYSZFx/CxPQW2wOh0Ko6tdF5DYyu82HVfXh9ci3CzjazMC2AveJyG2q+sB6pLV+qDEZTIdoOMgBwIqMsFWpnVgmIVuXzC2Jqxt2HUT3Q7RtD6S73MSNk/j2fyprBcQQu7RA9ArI4sQ2L2PXp/QGFYhn5bX/htp3I2hWjrpBnjbmIlPn8kpCds0Snq4Gfdx0MAo8ZjrSg+m3eQMg6Zhmm9GUAstAFibzGbJ1P8oV0DQ2ow2wAJ438YYCW4rIJFXt1eSmMeCvMj9bzaeAKTcCdKkhkzhvtkCS79EDxRN2Wkc8S+b2BUjDaZJmbEwv0asQ7Qriu4uasGo+xIbErTnFphs5ZF4yZP4MyHPrYZdW0McgXuWZTorKKA2uR0Y++/2NdbJ7CXS+U+eWxEsQzTeEtxvImDryliF+yDM1mfqNWpJRUzQM5EA27V6hCvoU6HKnbHbeJILoyWBqGkwYnBze69PuPwp8hsRl5hHgMJLZ1aN7m7FZmjoL2B24WlWnu/cXLVpEe3vmijl16lSmTvV86nUNMAdwJ+Aa9AUaG5OBYybJ3a9A3ArRIkMOcZJe3Qk+R0uPlTyB2++R0XBbIJ4HpReThp1LRrM4riklvQdIbNJSwNroSwmpR7Pzo4G6shqk5XfIu7CTaiU5gY+8liIthpzM/7SjsYMyyf5b7b7QTKNJvYlC9CzwHMibnfhVQ95lb7RgOwHJ4rMa5EGQvUG2crJYCsyrrYMa9NSCt03mP9J0lxlloFqnIywlr2VqahoNskc+PvNJTEIje8g7oAgdHR10dHTYn/U0gCYxeA+F6K0m/hkSF8MHVPUoEdmbXqwscqGqVeCNIrI1cJOIvEFVH7f3x44dy8yZM+vErhozQB3tsZCQrLZb8chb81+1G1QSMq+rnbaStNCyZ3aBtENRNS9FDHE5yTNqycwvvmxxmZzdPSVvyYdzycYSiFYMsTrkaeO65qA0bUuGTudRCGfLeDUdRErcEXnbvS+vaRS5EY+Xj8amLsyzEYDXgG1An4B4ed7Mk+sk7T9jl08vzAMOJmfn9zth//3I1XGdhiydIC8ZE8k2JANSMtmJ8+VT07nY/ywzN+yowr6Dj5lndyDI0OK8AwrhKnYisniDExycHN5rEl+nqutEBBFpU9U5IrLXhgigqstE5O/AZODxHkKbxr0i036ooyXnGqpt9HH+dw15GZJUBe2qr9lG2wMVqHZ6ecX53ymx2duODb2mXF5ctxw1GoJn4kjJ1CMjS6JuWVOTjd/5NICIGQmYMoibV1GnI17+vbCU6aJEw43tiMmSd0FnZPOy8wgSJWHi6Z727z93Pw2c8tQjcTGjj6cM6RY0HbcupeAdi2cl75VbLhEzmpplTGT9bd/fTCEMyG1mm0FvSbzTaM43A3eIyGvUrkTqESIyFigbAt8CeAfJLl4NsBrix51htTM0ryGiRv7NLkqJ1m1NBuBpbdWskYux+6IQzyezYXt5FpFiqmUqqW27J8iWkLjje2mIwws9eJCkPFJkLino5LLMyWv87n2HwOt1BHbLTnXIPA3ndEBC1vmIMSXFi8z/cl57r1evVh41HYau88xlRSORgrRyz7kACqlpTKoQVbNOyn6ygGTzGraTcU1CTseimA6y1fyfCbI1ibeUTXIZ8AKwGz164+gKYG4mhysTY0DGN44/2KBLSDyV+gCvd3OKJAv5P62qy4DLRORukqWif1mPfHcAfmbs4hHwW1X9U8MYyYZg9KjVucTe00PRsvujOG1LROmwmOa015p0bBynY6ir/alpjGR5W0hMU51UDXE3MpvURK6Vya3P2J+D8EcPkaNlWjJ3w7tRjWYfR4mpxiXvZuo5JcgKxOZ1Tu3uvRkBNPFsRY1bpfUUioy8drThxbWjlpqwNZk7nTSA6by1C/SRjPTl0QamF2fyt265F4K8DDIBZPv65RwM0HWgD9fOa20IosF5tE/TJG62SLwZeJP5fc/6ZqqqjwIH9S5WT2YT656nWViFGq3ST69HonDIS/2HXILSDplZpSbe1qCrAPuiFXiwSD3vDycdnI7EhQyHlt0Swq/Oh5bDoDwP9BUKNdB8ZGiZCK3jofJ88qlrFNwK2vaHrkdICKYHwrOmF5fMa8I45VaAGKpFcwxunKFQ2h5kC6jMyd+zZF5oehpG4a6esjXISIgXkJ//qFcPUdIhidOhY2R35UiTsCMvV1lw5XK++3b5eCap6SV24ketnumlBDob4rX0aGIEYxKaB/ICyJ4k9v3BhNjUjZlnirt7jtIUpL75dICjt+aUB0Tkzao6Y6NI0xAVUvc7a0N27bs5W6/bwAqGyT7xp0GLGq9jvpA4f504IfCc5udqmq95aRWYLZpRFi0hpN4pFquh/FiWdvf95Mvky+uhMg8qL4Gsqx9GBHQ5dN1Lz3MK9rLtOK3JwabtPYOaSVu88jllEQFdYzqbIU7e3jN05U5t86tq76mCLs22U8jZ7sVLx1xLy1+nc8rJau8br6IctiVZ7LyU1LyUml5i0O6MvHMTupBOFEctoA+aOAXeMXWVE5Nu1ArypFl1uz/IiDrh1wP6ArAGZO+Csm9Iuv8Gfd509hWng1uPkbGPzcgmfhTwMRGZT6LaCImSfkCfS+ajOjzRatMhaT3y9obhNVq0G8Y3AxTkK+kfr+HaYXyjibueXgqn0deFIcEiQsiVwSlXjTnB0/Zz2v8aUnOHFGhwcQ9kWQiXzCyZ+qMIS+5Fjdwh1ZQ43TqqUH+EZZNwRyLkST3Nw9aZZ9cWq5W5ZOyYmHL27AIZ3HIVPreXybyDSLRjqYCUE7MS5H3OU+XAymPdNl0vod6YjmKoGs+jqAXkISi1QvRm1m/piE33VdB5ZjQAyAMQjUg6iT5x/XjReWbWtbOPSBx6aIcDF81uRdtiNi7vv+PZqiNBXyQ/mek2cp9knJc+SSB/L43vkZttvDk4jTC3IMdZlAPkGy4UDpOLoI00ZkMithOSmBwRpcG8zkw9LTaVxTfLOB2Teun6Ln29hTaK65B7bo7A7Yj88tVJJ5109jJ36zUl3Ih8RxxnJOgu/ALvXSiBjCNZ5VvNp5uK4pXDbuNgO4E0r2r2/oid6DbvXpqnFpTZ6ZQ1Bqo92HEF2CJZMcxYiB8lm8Q370elkqShQyD6V7JoKjqYuu9qEXQNiUnH8QiCpCxxxaQ7GjbMkc1m5hB4dx+S+OvfnPIgye6F8zemMA2R+m1DjcmgiGwsmdUMebPw5XI3f/nbbPbaYwf23H3HhMRSzUscbRGgSqUaM/3BObz10D2NhaNKtVplydKVVCpVdtxhGyw5qQpLX1sFCKNHG48C/yUpGg0A1WqVH13zV27+8wzu/sfjfPFzJ/OVS05jyJAh1Jgksh954sYjMHA6Au+FTb1GivypGxBpof3Zvd6gcalLSGR17o5sciTcIC2/PH7c9BqGNO2zjfOfIi+WqGTiVSF+gYYdpOt9k/6OTL07nb7b+WuVtGOxE6CNCDTt0E0esdupS21YVkP1eeB5r6N3yhCTjAJKrRCVIboPoiH58uVGMY5ZTZXMtNGdn2i07pNaBX0VoqUgO9PzNgtl0MdJRlze+xcbD59qOfn0lU1cgNLrm8T7f5wRjYRqPbNJ1ujXrevmhz++jRPe9Sb22mMnLrzkf/nO1X/m8MP24pZfX8TL/17KvnuPQ0R458nf4O57n0izOOiA8Tzy2HyOO/oAfvGTCxi9zVYsX76Gb333Zr9tZAIAACAASURBVBZ0LuHOex5j1ep13P2ny7juF3fxP9f8tUbM8uJfggifvPAafvKzO4miiJ123Ib9992FH151LhPGb0e5u8wTTy1g3E6jmfy+r7No8Qq+9uXTOH7ymxg1agTPPf8yF3z+mjTNb1z1e75x1e85/X1v5YbrPsecZxYy/8VFHHfMgTR7+kcCa4Ii1zhfeXUZCmy/3agGZFnUUfomDdd80yzsKMDK1Az8zoaMDOtm45lCiIqJ3odakrSk7xEgkphDUvkds0s6GigatfWQX0NXR3fEEEHdztJXYHzZ3WdZhUo1T+ZSytKwHWXOTGU7tHKxl4h1AbWjHI3NNgudIPtR6y4ZGw+bbvIjbiOrxhB3QWVdpoVXyzTvUtwIr39NfGyj0302yck+6YvgE3dG6GvWdHHwpIsYOrSVtx+xD2iVj3/4GH507R3884GnGTPhXAA++dHjuPqqj3Dx507MkfjDj77A8OFtXPzZExmzzQjuvGc27zjp6zWijNp6OCOGF/vrrlnTxcithvPMvCUAxHHMgs7FLOhczMQDHmLOzO8y55lOpnzke6xbl3kdnPXx/8ep7z2Ua37wMXbYNlk2vuWWW7By5do0zAmTD+Kpp17gwLddTLmcEcKeu+/AFZedwXuPP4R/zXiWX/5uJse94x08+8x0lixdxWVfPp8h0WtAlX/c9wQXfvmXLFq8grcfsS8H7LcLl//fP7Df3jvzz79ejogQxzGdC5cSRcKvfncft93xCHf/6VIAVq1ax8OPPk9Xd4Xrb7iXRUtWsM9eO3HBeZOZMH47QFixfDVDh7YyZEgzi1bcERWkjallT6i8gt1U65VXl/Ho4/PZcYcd2XH7IYzaumivGMd+7ptYvM5J42S/GxFh4UtruOOuB7j1jofZbcJ2XHbxqbQN3RbE+umr0Xg9cxU4eUTkF3GNIlny74fHiWcIu3UfqDxDbi6jsFOTgj6zQcfgp9HQPGbbUyUxsYgh8SjKyDxH4q7ZqyeYequajkxaIDLuktHBQEuieccrPT96V1GLk2cQd0HVEHjcbUi8L8wp9EKJaCYpmQx8j8Sm9lNV/ZZ3v41kB9g3AUuA01X1BRE5BLB7CQhwmare1CivZkm8BIygPzXySKDiaQHmIf/813/n81++nkWLszObjznpv1g8r4MlS1bwzqMP4OY/Z0v4f/bre/jO18/kuKMPQJf9mq9fdRNPzOlkaFsrO26/NXvvsT1xtcxnvvizGjE+98l3s/uEsXzmE8fxYucrbDt2BOeccSTTZz3Lw4/OJ9aItWvLnPbeN/PHG/6DP/zxHs75xNVp/FFbbcGJ7zqY//vVD/Apk/6eu2/PgoVL+d3N0/nuN85kh+1H0f3qz2htbQGUG295kNmPz+fUE9sZ0lri0s+/l//85u/TNJ+Z+zInn/ltrv/Rx3l18Uqu7riFqztuSe9/89s389lPTObz57+L2Y+9wKxHngfg5zfcm4Y598y3Iyinn/NdfntTfjPJPXffgXJ3N6tWr+PoE7/OI4/lrWq33fEIk485kAm7juWUs77N76c9CMCcGd9mrz12zDWOdeu6qVZj1q7t4t775/Cn2x/i21//EFuN3CJ5nmb/9PKax1GEIW1taFxl8vu+ziOPvZCmc9Gnj+eSC09kxPA2WlpK2TuRmmWEdP4gR+jKxV/5JVd89xbOP++d/PCqj/C3v8/iw+f/KE37W9+ZxhFv2Z/3nXAIn/3kscloJ0fengZrtw+IMXZtzKKlAtMWQrLRVxfJHnAC5WfJLThL0zbhc5q9TaaZpuiPlMhr0jXXXRhyjszkqZTMiEOpr/na/FoSM0ouXWu6iUk8ZEp5DxtL3u6mdL75JzYTmdXuzHQTF7lvrif6iMTN+pergWNJViLNEJFpquqedn8u8Jqq7i4iU0gWO55Osmq93RwssQMwW0T+aOYki/PTJma1ReQhVT14/YvVe7S3t2tu75TKy7BuOq7pBK3yzLML2as9P0j4w/Wf4+Tj7eZZSfh775/DpPd8jfef8GZ+fc35tLa2khu21mgYSrlSZdnyNaxZW2aH7bdGFdrarHbpPPDCHQzzqFZj7vnnkxyw3y6M2WYEL3Yu5rpf/oOT33MwB+y3C6rKmjVlhg1vQ/zJKnXKbNK+cdoMfnTd3UwcP5bXlq3mmEn7cu6ZR/LE0y9z0JFfZtiwNiqVKt3dybMfOrSVZx+8kgdmzeXUD19NqRTxxjfswiuLVtB+0AR+9ZPziaKI8Qd+hn+/kt9S9lNTj+X73/wQP/n53Uz93HW5e9ttuxXvO76dq686hxcXLGH8gZ+tKfu0X/0fTnjXwQzb8cOsXVtrw5wz/Ur22mOHlIT/Of1Zppz7QzpfWso73r4/t914MbMff4HJ7/8Wi5eszMXdfeJ2zLzzq1z5/T8zdsyWfHrqsUSlFnKThCIsfOk1nnq6k4sv+xWzHnkOgLumfYmjJr0BEL5z9Z+58EvX59LeZ6+duGval1m+fBV7H/IFAHYZN5oPf2AS7zx6fw5t340oinjksfk8+9wrvP2IfVm+sos77n6MD556OCNHDit4F9aTKNKOpIcwtRebzNM3UbrpGZu9JfK6eTt5FbpfuiYoydJESF0piybo0WzCNNXC84QvO35mVg+HFzdE+96jdUbHe5oKGx15fcO8ROQtJBr0O83vSwBU9ZtOmNtNmH+ZMzb/DYxVh5DN8W4PADv1BYk/rKq9XJyzYagh8TUPQzyfT3z2R/zt7tn89Acf48jD96a7u8LQ7c7i+HcexNe+dCr77TOOUskhVZecU1hPAPfFs/biIpdBZ+KoCcIuvtZgsq9mkizK5+P6Zxd6LLi26ERGVUFKJRYuXMJ9DzzNe999MG1tRQMv2+giKpUqP7/hPmY+/BzDh7fxqfPeAcAuO9kFIYpqTBwrpVKUy8+m9eSchXzhst9w6x2z0xz+8/MncdGn3s25n7mG3978YC73SW/di3v+eAmocvHlv+OK7+cOQwHgW1+Zwhc/ezwA02c8y1PPvMRXvvUHXuxcwoWffCdXXT6FO+5+nPMvSkj4ll98hsuuvIXf3fIgP/7uR/noWUfz4fM7+Pmv/56m+ampx/K9b37IdJhJORT4y99m8/X/vpmxo7fkJ987lzGjt+TQYy7lwYeey8k0dsyWXPeDj1IuVzn5rO8DUCpFVKuZllpe9DNWr+5i9uMvcsRb9uSG3z/A9FnzuOefT3Hy8W/m0i++n86FS/nKN3/HIW/ajRPf1c72221NFEW88uoyoihi7BjPbFfjVuo9R/u93qQzFJN9j55I2XuS08xr0rST58OhZT8oPw6s8jT4ArIvmuvKefNUM0089Yu3i5sU2elzG0jiY3TGT5sk8bf9fD7gbrjVoarpdooicgowWVU/an5/CDhUVS9wwjxuwnSa3/NMmMUicihwLbAr8KGezCnNkvg2qlp0Yu5GQw2Jr36Ab1z5A750+a8AaGkp8dWL38d/XHgit9/5KMcdvX9+kq/mpXBffofA08McfBtcvQbioqcXvxHqaU04nYuTdo3PsHvNTcIxHaTpuMN/t8MoksWzQ2qDvNw8PRv02rXd3HP/01x19V/4068+y9Chrfz0F/+gXK5yzKR90Tjm7/+cw8nvOZhtx27Jff96hredkG2fM+kte/GLH0/lhReXcMB+uxhzSybfqlXr+Me/5vCOI/dlyJAW/nLnY5zwwR9QqeRttL+59gKGDBnCyWdm0zbX/89Uzjztrfmy13Sc2Ttz/4PPcsS7v8GRh+/FE3MWsmhxMhq47bcX8vbD9+aok67ggZnzcHHWlCP48X+fw/0PzuW4U67MkbvF0ud/TNuQFt446Us8O+/f6fW2tla6usp8/4qz+NTUd/LgrHl87aqbeMub9+DMU9/KzjttQ4/vnFset5xep5vWKeSVhdz9orQj0iP6XPfVnKdOPaXIgz9ZCuQmg2NjsnIJ3GjhXV3dDBnSQrTzFzacxK89samw0eHX9aSJnwq80yPxQ1T1U06YJ0wYl8QPUdUlTph9gJ8Bk8xxboVo9qDkTUrgRZg5a15K4ADvO76dD516KMRl3nnUPiQP3Sc/Z/LF9+dO9/UoWgTkodmFFD3u1VI0VHV/2xfZyJiiyPWvYUbU7wScNGrkdcOYiaRm4A6DDbZoi5h81D5MPmof7IKXj545KRdtrz22S+LFMYcfMoGO/z6TG//4EGed9hY+eMphIMLOO25N4kniDreVEcMi3n3MG9IyTD5mfx7865c48sQrWblqHa2tJc794CROPfFNxBpx+42fZ9sxW7LzTqMZPWp4QWet+eI7ZPLWN08kXvRT7DN57oVXGbX1cLYcMZSW1hbu/8uXAeEXv72fu+59kqlnH8WO22/N0KGtjNp6GKO3GcGri1bg4ksXnsCokclBEV//0vv44ld/x/PzFwHQ1VVm+PA2dt1pFKtXruH6G/7BH//yMH/8y8P8x3/9FkiUmL/94QscefjeXHDR9XSXK3zlCydRrVZYvnwN026fzaS37M3b3roX7kjj368u59+vLuegAyYYSex7Z9uKS7qR8UP3TSOOj3ts1lA0Y08ucoktnPQ14dyNzKrllMQ1Toj8+QWLeffZP+fU9+zXc949QWiuDM2hE9jZ+T2O2o0CbZhOY07ZimQJbwpVfUpEVgNvAOrty92cJt4f8DXxs854L9ffcAsfO+dofvTfZ2UPNyUj+8JZLcG8HO4hx7asOe0hcjQHC8/8UneoWUTE3oKfQrcuyYdf35dn6D7J3icrbyuWoRBOZ1GkkeW8gOICsm8BaSXZD8SY6Zqy1Todp/XMyNlA/ck/b3ju2kljp0O2E29EIK2olrn97ifYZ88d2HXnMeSG7jadnqBFz55MJr+OfY03Gg7xqjT+ypVr+feryxk7ZiRbjRyKqhJ5S7yr1Zhly9dw1dW30/Hze/ivS07mEx8+mufnL+Lyq6bxhz/NYuWqvDI2d+aV7DZhW27+8yxOPusHNcX4yAcO5yffOZvlK7s46r1XMvvxBem9KBLOmnIEP7zybIYPa8uIOVc/9pltBVseC90vQnfBaYwNXfMKTDu+hl2IOEfemtrCY0PkFSZN+Rn/nNXJgXtvy+w5r26YJr7PWJ3xvyc1FTY67JqeNPEW4BngGGAhMAP4gKo+4YQ5H9hfVT9uJjbfp6qnGTv4AjOxuSvJoTsHqGrd/dI3YI3tpsPy5cv57U23ISJ88dPvyvfQLsmonUm3JhI7DPMOBqjGpH6vdvFHDq72WmRiKbIv+qYLz9ZX+LJaH996xNvI3i6w9nlY+2ReDuubm5PNRYm0oaaLf2zSnk+vFpSXshHBce3yF78ULmoyIyWXANPdCl3/f/HSifP3/fNHbZwoKZcQMfnoNzj5NjuyqhPWD5J6vjjlTaOZd6C6IpfWllu2seWIsWkigpJsZ5C9EyWB0VsP5ZtfOolvfsmQiVaYuMs2/O/3z+F/f5BMCt/6t8f4zS0zOPqIfZi46zZQLbPXxNHsNn4s815YlBP3iTkL0WqZ7/7PX3IEDhDHSufCpalp4tJv/p6bb32Y3caPZbuxIzn+uAM45KAJbLvtViDLYMWNwPBkvYa7qZtq9r0Q4nTeQrpBl1Yzt800HVfASp68q9YXPenERWOu/a/j+PL37qXjK8cw6q0/YoPRR37ihoAvAG4naXDXquoTInI5MFNVpwHXANeLyFwSDXyKiX4EcLGIWAf4TzYicBhEmvgzs37C3//xL6aeNSkj8KIFBi6JxK4GXqBFp2GLyK4ekVMczyXM3GrIJjS/hqv01uf5FKRVd6LLnUcwpBp7W8H6Gntu5OKZa9wVjI1kiYsI3JOt7oIXJ2xkJ9fEG2E1AbcM7gRyUUdUVJZCDwx7r+iZuu9SQcfeyNxWVKd21WlcRVW58U8P09oScdLkA5z5IWFdV5V7H5zHX/8+h+HD2rjwE8fyyOML+OWN0/n4OUdy0P47c/4Xf8n/u+6eXI67jNuGf936RXbc3kxsu15TPm/UKDNFiDPidg8FT+sG53oFrXSnJpS4Uub3tz3J7fc9R8dlxxIRJ/7slYQDovYfbbgm/vP3NRU2OqRjg/LqawwKTRxgz913ZM+JRxcTt4ucJunY9wp3qbOr9ho1eo/M03iaJ/PcELxaTCSlMTByEqz4O1Qd81c9oq/ROHu6V4/8/OsFstXsDumkazVQ8euNgrCutu2OTEwY1+7qTB76yoT4Gm7qLtgGpSFQXZl1JnY+ITbL1tWtE68e/Mlv14WtxgUucuL4ZXHK7ncGkI3y7ARjbiThmY96o0jlOphMJhE49YSDCtJThraVOPZte3LskdlBE5MOm8ikwyYCUK2U2X38WIZtMYSjDt+L2U920vnSayxaspIZDz3PSe9KFp91LljM2NEjjJutU/Zcx13U+fmmMH8El5nV1N43mndcrXDb3c9w0ZV38ZRZQHfsm3fi9HdMyJH4BkNovvMfYBjwJH7vvfcyceJEdhpe3PiBYk3bmx3XItLTOO/R0gBufHFNIIUThJDu/pe+4G3JcuFl/yB5qYcCazx5Hdly11yZGzT41KRScyN/v2j5tI3YyJsgPanHJfCiuvcIsOhZFD7DTEa1HYeV3+QpUoF4jVMGQ/Zp2RusIEwJ3srpaoNx/hnnvJfqaPdF5O3nlxu1+aMcP46aZOs/47xcUFcByQ1sTJhqcd2UgM+d9zY+d96kNOyCha/xvnN/ytNzX4Z4P1SVnQ+6BIBDDtqVz3/8KK69YTpPz3uVX119FgfvP44zP/ULRgxv4/KLjmfcTqNZuWI1W44YSl45yCtVapUuq6Ebm/fq1Wv5/W1P8s0f3c/TzycKzy47bMmnpuzPO9u3g64uqBoS7xNrgkCpjg/8AMeAJvFqtcqZZ57JggULeOiu63njft1kZyfWM5MY2J69wHOiJhhQqGnVgWpGhnmN0TRAb4Y/8UUuA6tItxpNMy/WtnMNucb1K0nXNjgpIO9CQnI3fsrl32wjsGRMMRFnOZp/Sf2kdeKPjgpHBGTkVySBbfQ5rTlyyunJkBPLJ74kraKyqD9P4phXeswnFbZKbhRT+BzJv6Nxg04IQVOTRlJHTSkh68Fx47bbgvtv/iQrV3WhlXXMmp3Z1B98eD6nfex/Adhq5FAO2GcHhrSW+PRH3sbxZ3dw3Q3Zit/2A3fmqxcexzvfvidRFFGtVPjVzQ+z7x7bst3oYTzw0Hweevwl2oZEvOWNO/KOt44nosqJ5/2au6cneY4ZNZSPvX8/vvyRg2krkRB3t1ly32ckTtDENwbuuusuXnzxRcaPH88Be78BqveRm3xzNOzahqUF5NEI9V6EBmSgMermG7sTgja/KGl49oR4Xzv1865Hjv7Q3XriRJEhHLcT8knClMNooimxmjJ4aptHioKmpO+apxqReJaWWnlseFdTLvLOScnOLF9HoHVbKK8CXelobU54K2duEi0vR/IvytmKNacdOjKmdVhnlOD6QzuacRGhZvVcp4rcLY3dib4i+d2O2OSpRcTTLKm5cxt+PZCQw6jhAuW1vGnfMSx5+BL+fPczXH/TbP45cz4777g155z6ZoYNLYFWGTY0Yr89t+P+mfPTLGbOXsDx51xLed7loMKf73iSsz/320Jxdtx2BA/eMIUdRw/jq1PbefDRl7ny04dx3kl701KSpH11G+27bAi80kfL7oM5pXcQkZ1JNn/ZnuSt7VDV7/nh7rzzTgDOOOMMImlLhk926JvbkAjvZTaEVmN/rYPevPSQ7xBsQ3AbY46gBWIhXeFWSDKOHD6J1JtAVOtZ4yyJbqgZG5OEiJOkP2qwYckThE/Y9ciutsKcMmixlunbnm15UFKzTNdCp26dUUQ6CnKIzTV9FGjMajtgey+25XfL5XvAFMhckJembq7UqVvy8VLt2ymbO7laNMdhyws0NPVYGZpC0TxIrc1+1IiIM0/YmzNP3AclQqIWiEpoZR2gHLT3aO7+5Tk8OfcVnn1+CarK3Q+8wHMvLiXSMlSUBQuXcNRhu/LM80tYtrKL8TuOZN/dtmGbkUP5+Pv3YcctS7BuLUfsM4qVf/tQIke1G7pNuyqXk0+1ApU4M1tuMFwT1eBCf2niFeD/qOpDIrIlMEtE7vA2iGH69OkAtLe3wxYjYGXFsaE18jE1KNAuUtQ08J564UYvjJKfGPPupQ26khFuTgbHb9rGAWomGd3OQRx3SilRfIizkicCo8nl8vBl9hpxer/Ii6QHaJ2698NY7dwSeo6YI3KuiK5MSlaHbhz1yc9tnN7hIG69ehp343I5SWDyhqTD9sPkTD9OBwB58vZP6LHeNvXeTX/v7lwePcnvP38tvl8YHwQh2cvEXkvej1aUAyeO4MCJyXFvp75jfHK/O5n/Of+0/Tj/1H0SN9+4mtjpY/O9UoU1a4zbYzVpb7Gpm0ol+W6Ju6rm8fUVibPZHM/WJ1DVl4GXzfeVIvIUsBPwpBOG++67DxHhqKOOQllt3ArzEyCFWmSSgvlX4Ieam0V3zBDSAiPeBFsfDqWh0LUIXrmJZEe6OiTWLLHlXrayQ8COBlBD2t7vOM400CjOCDxS6vq6p2V0tVxfpnqeEgUyqCNDjpQK8s6NWGx9l2Crt0D3Ilj7TD6s+mFdjbWoXJ68ORJ2zQ5u+fz5ALwykh8dRM5kV25k14TrqC9fjceLTdOuZ7AueLYM6sjgdL5WYXDNSpH7PkONklIzF2LS6okEi9wo7Sc2nU7svBdaTy6TVkrasfnuELn9XXHqo6oJ4VfMfyN2jUwbCvGe9SBCv9vERWQ8cBAw3b3e1dVFpVJh4sSJjBo1Cl2xJFvck770RZNATZBsTtNzX3qFlQ/AyulAK2iXoyV5Q+PYbxBkL7w1mcQOOeRMEuZ+5CxrzpGVF8f92HtVE78UJ/WSa+gFSLXcgrwaafyulpozo3hlzpkRChpV2pir8No/Tfquu5lDwK7bZ1OmAk82KXi2ft3GcbGcftmiUp5w3c60oUwN0rTP3sphNVFLhpA8K+syGVWT8DZflzwxxczZ5xvUXfocvfe3GXuw1Z7jmNp302jIVj63vLk0bPzY7C9u/lcrGWlbTdt+r8RotaC89ntfIdjEew8RGQH8HvisquY2l1i0KFl9tmTJEtrb2/nxFVM4eDeHwBtpRE31zGY4VjOpZ7Wlcl7jcUmiZlhf0BBc4oi9hmPziJz8/Lg2XZe8feKqOh2ZJZvcNrYFaYpLts58Qb06868X/dYYuk3ZIodEXELJaZhN+PbasjSSyyeRog61xs3Re2allsYdRTW/Z0surhuO7HbTSMkvrn3HbAcfRcmzLRkSjwvK6pfZLXsuPyeem19PczQp4RZ04DbNWDMzSKoxO/fUKWNs2p6a/5a044zANTbvt3vdNvUIp+2k0ozpucJ7QCDx3kFEWkkI/Jeq+gf//s4778yCBQtYvnw5Y8eORRf9FVY94DTYmPp26B7gvsDpydwOmdaQqPvyFWimbsPLCljbYPIVUPuJorwcNXlR0Hjt74rTMXjlsPm5crnlTzVAK0c9Tc4zV/l2TRvHJR8otjU2ajDWB9wnGN90kiOYHoit3rMoVRIiH7YblF80cbaA6mpSW2xvh+t+R1F03dde/Y4oJe9SVp85RaKBTH6Z3fxzecZeHbvvvqMhV6tZZ2ZHJyXHHOibRqrVjKiNJo2rSdt3GZLXOyVp72PjKPn4JfOORpJ8T0RuuDS9KTQ8dHrgor+8U4Rk74CnGh3tNmTIEMaONXtOKOQ8FGyv38xLbeFrDX68lFANGfq2viLiduPntE3y911NPFcZjreESNJoXTl8Irf51CuvS6K2HD7SYWw1Xx5fk3M7Fjd91doJKbcztflGJadj8joVv57ca/Z0HD9ObmTjaLA91UfuWbmdMQkZRRWozDF1H0G8zhn2rw+BO3Laa34nk3bKvsnNMae4hBmVyHuR1ukgkh+113zizsla8GwqlWwxTdVMKFpYDbjF6VzshGNqCkns2Grt2S5x58pfQNYVh/iVRAN340cCLd5ng+GY3wYZ+ksTPxz4EPCYiDxirv2HqtaeCGDROpp046t0trpKoXYMxSTra0I+imyJ9eIXjgAcDdrVeKFW1qL0fQ3HHxH44euRYBzntfuiDiiuZo3IbdhFWllOO48yEq+n/WrVDH0rWXy3s2rkBSAe6deT39dife+Sok240jheeUulfN27cbIf2VfrNeGbuPx30bV3g+nUpDYPXzt2yyCVrEMskss17Sm1z8N93wqflRa/R5VK0jlXFcp2tOPcT18TyUwgNoxrAknl8mSMFcoKa6uGtLOPluPM6yU1nZBNc4gk10uSaeUbCpvuIER/eafcRw/d3mOPPcakSZP461//ytChZulubLQDq/0VTrLEeQ0o/V+HuC18m7G91htNLFJy9u2UMN0JIbKGZyd4Yk1qw2qullRyWmSRScbJy53ocSe4LNm6k0g12pjzv6hzyhFrlNcIXfgE5i7zrumc7OP3E5J8WNtALfk2Mp0UjiYcz5902B9nz8CdS7AmjHQU4ZmgUruv7QS9Z5MSVDUzNbm+zJEk2mtLS2LCsTL7nYtfDn9ElXu/vc7NvV9UvThV7xKxX4+WvCtGo6649nSy8lqi9rVpN337PTb3umJYU4U1VXSdyaNsSLxsvlvFf4jAkAhaBI0kI3WbZiR9Q+JA3aPnBjj63TulHrq7u3nssccMgZM0vko5s9FVrK2uSg15QzFRNUI9rTb54pkU6sSxW5Ra8nH9XF3ThWuHzslm7dpRZgstGgkUyewSt5XRkrjbWRSNJgqH+c59JJtIsqRXo7lI1llZAsuNMgwxuwTt5u0P7W0dWhJ26y9f6XnZffJOJ1arHolbYo2KZROyZ+GOqtz3zRK7/65VrD3ZkJsrcymClor570wyWwLsCTWaNnlC9aqkIVzN1k07JpG/bLxCyk55XOK2pJx6kdjvYnaYygAAIABJREFUpI8y12EoCXGviaErIXG6E807rmj60WpWACkJpdaIqFWIWjNCz2nkfQKvjQ8iDFgSBzJ7OCR2yu6ujLgrFSh3F9uhLfyhdl3t0f/tkleUJ5OGZG/iWBLIaVcFE0pFcCeULImYZGvMPK7m1wg9mXH8azmzE0n5qzb/sqNNF8T3idYSa7rC1iHGVLa4Np6PUkt9javqdB6Q1ZUrYxwn5OJOnEHiomm1uUhqJ6eLylaPcF0ydTXwXD9tTAUSZ+aAmnSctFzS7C3qRXHbgmbXNH2fLCEbe7a1c1ecunNlq2hWt5bULYzWrlWSzmCd0cK7Y+KyJp9qQt5FZdQYquUYjQWNhVIMtEryKQFxHxJ5H67YFJHJwPdIpPypqn7Lu99Gsmr9TcAS4HRVfUFEjgW+BQwBuoEvqOpdjfIa0CQ+evTo7Ee1mu2XUC5DpTv5n5oinKGwO97vSftsZFN3Jxsjd8KRWuJOv7qmFLchO7bLHDzbhDVF5LTYAnttXM2vYmuEolGED6cx535DvlH2pKwUajOajFAiyZct1W69TtZ+d7XYVkd7TU0RRrO2k2C+nMaWmpYh5/1grrc4BF6SZBGVXx8uafn1U/MukLcF299FdVJxZHRHUDafqtFKra25qGrFKaNIXWVS/bq1mrRvp3a1ajvBaL/bOnPL43aMVUPWtn7tdWsqWVdFu2KqZUUrCXlrVRuum5JI0ViIRZPzSOKYUixI1Wrl1Hnn1gd9k46IlICrgWNJjmGbISLTvBXp5wKvqeru5mSfK4DTSbxsTlDVl0TkDSQHS+zUKL/BQ+KrFdauzci7XM40L3CI3PkUaS/+8LdarZ39zhGogFRNA3c7CptvgT3R/o+dzsFP18aLhkG8NpPJJzQgm9ySbNGH1fQqXhkbaWy2wdfTaF3tr146zTYYGyzKk0xKWC45umV2iFYdOaRLoDXKzBEtkdEO4+y/n79LcIac1NeizQhDrMdDajohL0dPxU/LRlaHZPIXkmhNXMmmQVxzTMUjcTcvVygh2e/GldEtq2sG8es79QrRzCzi/jfhcwM6V/NO0zL/uw35lx0zSZyZS6rlBgRuiyOJOUUiRWJBrSKgEZFCFMeJzby1j0i878wphwBzVfW5JFm5ATgJZ0W6+X2Z+X4j8EMREVV1z797AhgqIm2q2lUvswFN4iNHjsx+rNsOVq0w2qe55hNNtUq6xLpkteY6w37bSMr1NGQDl/ikmrij5a55Q253IQMUdwxu2qzIx42d72kY8jZAGybNlyxMI2gB6fv3HRJXV4ScHDR+4Rtpqz6JO2VRt+68zkRLAlVFSrHRxj3tu/D5OQTaqHNTq/Ga3y4ZWTmNjT6dXEsrJp9Xwzpxn62Vye3YLAlbYq0472hs6i4ibwuup0RAXnNW73/O/EFmPqmCpmYTJ76fTkUT00hXjMZqlm5oun7MNZG49yyZ22edm05I4ydauoggLUKpRcxWQYKUhLgc07pFCdoiIjua2WDYym0KY0TEPbi4Q1U7nN87Ae55eJ3AoV4aaRhznNtyYDR5f/f3Aw83InAY4CQ+fPhw9wesKzdujJDdr5ARrTuD7e7FUPFMEX6DcLVJ+9sl8LSjIDcEriFyqG3jvhblkJq6w/GiobLYvP3CC7R/GtYthSd+mWU6ZCtYuyxbvtyo7mwjdWRWtwPxNb3CdGx5vOt+G6k3AioS0RCpViV5ZrYDrZnT8MrjwsreMgIqq/JpeysG03pwF5m0Rkm9t9h5Ek/2Rs/YNRG5NnkbzspmOquUvLsTosz5SFv3Ovs8XFKuOB2g3xlpvs7VjZOWlTrmHxO3EsPamMramEpXTLU7Nmk5ZG3ydq2USRU5+TrPJnEcSkws1bImUxzmdksJSi3JpGZUSki8pU3QGFoVWoiIoh44oRnYkXxzWNzD8WxFLaTe21EYRkT2IzGxHNeTMAOWxLfbbjuOPfbY9LdMmIDeb/2O7UVPC64Hl8iN21Q6616vMfnaYxqmDpnaBqp5M0AmnydTAxKv14jUj5NqZUamSODB7+XLUVVYubR+eX0Z/eG2XzfukudCIV1tr6AcfqfXiHSL4rkdp2cPzqXhpl+j8a5wyM8j8HqmBUzebWJssYbQ1cvTrS9XdsibHyoOMad1a+q3ogl5d2vixeHOW9v6d0cEloQrarRop/5z9UCBRq5J+qmXiSFbILc/uiQTjJV1MdV1yf9KVzI56RK3S9rp43BJvABV6zGsZu+rdH98iCKlpay0dCulCEqtglaiXF33HYn1hUYPJJr3zs7vccBLdcJ0ikgLsBXJgcmIyDjgJuAsVZ3XU2YDlsTHjRvHaaedlrumZV+1S5ASGBQPrUyDUTtJEyu5fRnSRHDMJOQbvr0n5qCDnkYEqdD2fx1SlIJwPaVlv1S9W+4owZbBDpNTLc0lca+T8omvWhAWaofybpW7HUHVKXPUoMy23O5v12TmdlqWvPwRkSuPS8j2ebs+xpYwU6JziM+Stuu37JJ4t0BLnNhh20o9j8BtmVK/a5uu++559esuePE7Q/fdjMiUB7fj8T1IXC3cGe2pYkweRlTH/u9rzapQ7TIk3mU+Rmu2j8l/lKr57/UUfJe06xNpFlmNiQZjnokbmQibhtCH3ikzgD1EZAKwkOQk+w94YaYBZwP/Ak4B7lJVFZGtgT8Dl6jqP5vJbMCSeCG67VJ589vaSyGZ8DLDLVfbS5f9uv+txutub+lqQj5RuFog5G2bfgNLSYJM27FCuiYSl8x8D4UiFE06ptqPk667MVBJskZt7eHpQgyvrLZctm6MfTRHrq6N1K+rnLlK82nZNprWa4OypvZXL+9cp+qk1RolhOqaV2JNtNiyY4oQnGXaUW2ZbV6WYMtJfC07dRaRvF92EnRt7Hi3OM/Rfdauzbli0itrponn3g//OTvP3iI3UsSknXUOWlFDng45O+nFZnMprSZ2Z19ztrKkNuyqMXNUNCPvGMpmNX7V7J9eZJpXJGlusRi9qf773VJSSpHS6qxxq/eKiEjGt3Y+oy/QRxObxsZ9AYlnSQm4VlWfEJHLgZmqOo1k25HrRWQuiQY+xUS/ANgd+E8R+U9z7ThVfbVefgOWxFeuXMkrr7zCdtttl13scpaKg9fAEzup2kYFee8F18/Vkpm9BrWN0V8ZZhuvG9/RYoAkjiUJuyAhnbyjgGydvIq02iLYhl/1ypF2DmT+xyXJ7JiWTHztzy2vO9lly+XuX1Fky4W8Nmw7AKuJ44QpMgX4ZbPlcyc93Yk8v8OLqkldt0pC6HZFYFkTk4TxgBD7bGy9uO+Jq7WaFYPaHWd154qYPrPsuYm7BNyaWOwkofueWU3cpp2zWZOSZyHEMW84iqt11YtTlz1qWFkdUtZq5iFSb3mB9SLJeZKQEXelKlRiMaRc9MIq1ViSJR0qxLGkpF7v9RZRWktKuaS0lBJSF5RIFBE1jmGJkibmXVNVVKW2E1pv9A2JA5gtRG71rl3qfF8HnFoQ72vA13qT14Al8WeeeYZp06Zx3nnnZRdXVWptoBauhufaCt2ZdtugUu3IkJtI0l+2lcxmOpo3yyjJTHx3vkHXwGr35hi0VBsveslyGj+Z+uESJmRan0tctiNxOyWLHMGRJ4tGJh23Q3HLbf/bsTEF9w1xak4D10xzB2fnOfIaK9SW2/eicDsmJ43cucemvtWaQbwJ5tT1zmjhYknc8YhIZWgEpabjTGvF7RRcW7NdVm7eD2u2yJssbFVoTjuOrWukq5k6mqgl5swuTWp7zrxC1ByGlWngWlFn+5f8e6FqtWx3wClUqgmBx5q8tJaY3XhxDOWqfX2F7MBpSauv1uKpuW+ZTd7oB5F5xFH2SRNp1PH1BiJIOBSi75HzTgFYVikmPwv35SjSgB0zgaaTVoZwS5J4J7ZFycRVDLRtAatXJwS+Lk60M0Cs1md3T4scAraN3Nd4fVn9TsclWzuMx5CNm58N6xK4PyQ35XcnlZqafBNTNnckIQLbT4SX5xnidRJobYOurmT/i+5qrXZpSdRq6tajwt8HxDfj2A7X7cxsHbRmWrS65UknDcmbR+x920mVYigJauvfviM2PhjNPko+w0fCauMGOnoHWPJy1oH6nZBrkjGyZK52FNucC56RJd90KXo5I3GXwDKTgvNYbAdh0yhni2riiibV7BC0Ztlmr5Fm5o+ks5GUyC1545F3xWroVegmObQ6ItGNXL0gmb+CCVdczPyLcosY08fUlFUjNlp4nCwG6hv0nSa+KTGoSFyXlTMCt8Mq23k6mlzdFWCpLTzOSMJGjkgmk8olZKjC0AhWrEgIqivZ48G+5Wq1YzMslyFRNmz2zQ7uhGudjkfEaJBlXy4Ssmkx6kirJCTrmHW0HnE2cnmz9eV/F1M2Wy5rQ144NzMhlCTVLHXVmswFrmjBhy2HLUNknlcpcp6HJe+s/lK7bZyXLWqJk/0zLKG7xG3iFJYvV9eSafbeJJ/VAKNIso56yLJkQYkCnQtrVjCmca25wtqSfX/oInkMgaeas/kdl2OqlczlrmZG0DxHKQkiUuP1kZhYknq0GrUl77iAoFNRzPd0rjeW9Ho+B4/Aq1COhTJCN1Bx7pfMp8XEatHkeT3/hW+ZppGZS0SyprFGY16slBkSKaVYWUHMa93K/sOGsNeQNgDuXLaG77+6jPN23KqgctcD4aDkvsewYcPyF1ZVHK3OEI5v13RNB0Wo6xpHQghr/n97bx5vWVHee3+fWmvvs8/UfbpPN9B0N2MDgoSIIBqDc+QaNXKNRDCiMeEmN/FN9MaPft4Yb27McF+9yTWayRBjfJXcJGrMIDH6KoJKQERxBASUoZGp5+mMe++16nn/qKq1aq2zTvdpOHT3Mfv3+ezPnmrVsFbVr5566nmeytBZ3AAOXmcxQYHrjb1yaa9NG1oLyo3KjyXnSDqj3dCJtExHVynM/pvaG01kRZrFEPKNJdaaWkUT40ZgfbUT9M7xxBVJmjEBqzqnjWTITXaOSaP6LUbgeVVyFYE8V2xfkBSStFQhxJJu/X4HPXL4r6hfHtkxx6sWxR1bmjohwSR+MovaVag4ItJW6yXeWIBoWv3UH4Ot1imoOupZ1K+xmdLPy/sTFxXUIVad3toFzxSvGqmRdzHnS9kdNLqB9RsalWW93FGStiyqjQrdKwce0R4z5OzQPjNYclFenaxCRLEor5p5mAdt1njbfocJzhx1JL47y7nxwBwvXDvSkPJwETr/ysMxTeIL1ClTeSGFByJ3x1ZFEl2sXmiC4CWsSB0SfofSkmCmXyXEBZJrQxlxP5A4LVUyjiS42MQr7RgYMdBJqnkaqenzFyHwOjHXyw8fo6V8Qbj1ppjwHkl64S2WkA+Wp5ZqALXGxZoa8grO+kZqA4HbvEri4NJLLthevrCs0A5hwVwdyNcFXXKSbqmP1rJdvu0xgRu/kVYh7zrxFrppl4dJqOjtZRHhwfr2u0NxtIjnVsZdk0pf6veVfu42GXuZ8T9LQb4KxUZi7gk7SNTFzak8t3BbpdKN8I8oMQvvZZY74u4DXSzbydhNnz1k7CBjxlP50xnlPEYQ4B/Yw+fYz04y+lQFnVEVrpBxjGjhdpEAm01aLOBWG8NxacLJrZarj8BzVg3ziads4Gmrh3nn1t2N9/ewsEzWKUcaxzSJDw8PV753pzNEgueW6+AmsRUpSKOBHwZfHZJYJ2m1jFsqG6k4dwQyqVgERKgQX0xmEjZeSoegsEwviE9LPWls5gXQnxXSWUPayZHRBIYT796ceVULkbqkKnku0LXWVBHVBjRJzYtPfEXsrkiahbLPS7QSiTfYYuT9nKTvHDeStpduG1QnsQmcRpt0MURkwUZekIaL+oTnIRR65byv5H3voJJX29IEiSwigIq+GfxzDFKvXdAVMEaLcDcFIUcI1wdHF2ftWtV5JT4PcBuGvUzIcqGXGa8SKa0zwiajk8SdVGwRmoxQ6po1v9uDAjPkbCdjHxl7bZ8RDCMYdtBnDuUVrKGPsIuMN/IAzTIzjGJ4OiMY4FTaPEofgONJmSDhBEkZE2GNJCTGurA4CXxw/DiOSwwd/z31KyMXjtYUz2Rju8VJE0OkQ8ukBhmoU5YfH//4xzn//POL7919mSduT+KJD1yk8TK3HPgmFZIhQ9KqPhy1kPcUejmm6/IrzLSC80BkDiBBC1Aj9DrBhP9FtBiwdeIrpLcsshjwaWwm2L6SzVvSeUtrxJYSeyD7RUgnloTDBBHyNS1D0pKiDTGBh3CghUVAEnukluXFqoeizOhTk262ghyyuZxsLvcxokvCIb43Wkq0sTolamhlRVCx8qhL7eESbyZXbPKxMG3TdK8WMqvYblmJeJEXqyncf2UuRvDxP8BY522IFzBC+bFuumnD0JVRmvfNZPD9LGO1pkySoAoH1LJdMkYwpAgHyJmxShdlFsuzGC+6zSfYwxyWx7zUfICcfeR0sfw6J3Ax4wDcyBTvp9ksuYXwctYAsIqU8xjhYXocR8okKWtJGcVggHMZ9vpw5SKG+ZCcxAZJGfNCTmrUeWQmzpQwTcCIsjlJvFWKu28FgaemWB0lbUPSNqQdQzq6HFYlMiDxJwMf/OAHede73lV8n9+XldJRKm4DKvUkXsTqj5a0qZB2lLSjJD9+MeabtywoI5BmLBnHKg53RoAUW+xhKSe10S8CSswMC/QN7i1In5E0Xi7jFZsLJhfynnNrjgkpJjyp25Z7ZijIKrPOZhgwLesnM9f5Vf3mWb9ULxRzlp8kTVK2uS7tNnO1ViTzpvEQJGKblxJzeT8p7k/xHEN7NdJf11Qf9T2IprrFVhmF4YqGCdcfYdkyJCdthiwnf+hhrFV3Opl3VGlGNBFF5GtVsQIt8VEJ/TbIQ1nG9jxnSi37rWVaHdl2FTKUX+5MAIK1yhtnd/CozWirsEtz5rDM+Ia+gbW8hkks8En289fafEZwC+FaxgknoP4b+9gZjsyr4TvM8hMbt9DesI71t32VzbSZTIcYzpyeeg5lPSkTpMiaVcjeKQzwVk7EIMUGZniFxx8+DxvD6dL2+/rqCdxL2UJB4IkpzQortuFGHJmnFP24IPCxZSBxYUDiTwZ27drFpz71KV7+8pcDMDtty4frH7BpeQkm3uSJ9JI2S7B9S/rFfyfpGEwaL8VLS4LCWSIrVTOI70Rhko7UJEGFII0ql0iyrZF9EY7Tqjsy1MYk7l6aKZJwSHfiIO2LoeKYYfvqdK0a7oOQ9BTTEtJ2mXfeV/KeRTNl1lqmrTIswljiJR4jPJplzFvluCThQJ6TIoz4chOg44MGfb/X40sz80xbZW1iWJsmdFXZn1vaFp7bGWKDJq6e0Vy3Ry1dUUdQBtYlCZMmAas81M+4rdtlxiqPZBkpwklJygaTsM4YTktb3rxe+UqvSx9HGG2ESWMwKsypstEkjIjBqvCR2Sm+nnV5JM8xwDqTMIdlm825dM9e3jiyGqtw83yX/za7m1m1CE41sCVpc0BzHrUZN4xuJvXP9vWzj7FLcxSYV2UGiwVWi+G9I+u5IHUbcR+cneLv+1HgrRp+PplAxJnqPZD1eaSBcI8nZRMdur5DncEwJ9Omi2UeZS0JoxgShA7GaeBwXeFVrGU3GROknEibVSSsIiFBGMMw/ch2kke28wxGeQaj7phNf31ck2zvFG3cqQW5r0ewPlmwcHJP2m9wVy1QRJxDj3uv/ldHca3xG86pX82F49uWBQOd+JIhIh8CXg7sUNVzm9J0Oh3m5+d529veVpD49Lx4vZkPhmOUpKcLHvyuPKclwqpM6FnL92dzei0YaSecu2qIMTGoVb5zYJ4/2b6PPZnFKMzkbsD2rPKsoSHevmYCSYRZLG/euYe2CBnKSe0WY0YYTwx7reW54x0uHh1GLfyfPVNcd2CW1cYwp5YH+xnTqmxqpbx74ySnD7WwOVy3b4b/d+8U2/Oc3VnOKmM4r9NmXZIwlghvWb8GkziCuuzBbaxLEs5stzDAzjxnV5azL7dcfdw6xo3zVLxltsvn52Z5oJ/RAzYnCZuSlD2as6GV8otrV5G1DGLgtx7dzQ0zczyU5QwJTFnF4kjw9o0bWeVN0S7dsY2tebP0dsXoKO+ZXIsIfG+ux2/u2NOYrgXcuP4EumLIrfKLB3ZzV9YHlO1hJ8/j6olJftLvhXx0aob3Th9ozPNpaZuPrT4eIzCHcsWeZmkU4KOrjuNH0w7Wwi29Ljdkc+WfkcL47n7GfN91phmvqgjYh+W2fB6AUYR+P6Hn9dF7rWVbg+Z5r1o+OjfDU1ojiMBrZA13SJ9hhHFJGMMwJEIboa3CTM9gcLbWv8MJWIQuME5CB8MICSlB1+1wDsP8KacUZaYoKY50e37zERyZXsIERNfGiEzOF5BxnZjDpGB8WeXwW4wEF+YWHHmASjibJn1hIUAF1UrYdG57I4Bl04kPSPxw8GHgz3DHEzVi06ZN3Hvvvdx9993cfPPNnH322UzPp+RiuYUZbrZz3iUXeijvG58spN7L9+7k3jyjhevMcbd47+Z1vG71ODZXbts7xyf2zTSWf18/49eHV7t4DijXz8wxv4jO98fax9M3Tn9924E5/m16dkGa73X7fGbPDL+8ZhU2V+6d63PdbEkmj+Q5d/XdkDstTXnzqtVYA7kqN87ML3ojP7RziquGnS7zk9OzXDPfLOk9s9Xm5zpjGGN5QDP+ct9U8d+8b9aoCF1Vrt8/xwuSEfq5cIkZ4Z/tDHs1Z7U4yW5OLQbB5DA/7zbezqHFfxrqcGqassda9ltlzlomTcLZSYs1eYsuMG2Vm3rzhWQ3gjAqgiCkAmNq6HoiXaMJL2x3GMEwijAshkfznG0253gSZruQJsJ2tTw1aRXm84kIe61FUToYWtbQyxzhXpau4gXJKBukxZxapsgZwrBGDKclLfq5q8uzkmG+NL6ZtjUosF8t952xkfy7Wzk+bzHXE3Iv6f4em+gCXZzVxjDCaoQeltVWmOoKicAqafNnZlPluYQulVuha4PEK2xkmIpZX+19MWQIGeXcFKcf/5EzITEc+NbdtXwcdQvQWj3G2ovOY+aBRzlw79bCiCikMTjyTnDjouWtV1w8OSGjalMuBWkHabt0pXf24epJ3EvqRBI7paFA7HJvWkLSFufLMWSQznKQuNAcC+LYx9E67f5GETnlYGlWr17NKaecwtatW7nqqqv40Ic+xFv627mT+cKEKcbPdzPOSduIwNPTDtvsDNOqtICTkpRMlLYID0z16JkMm8OZNuX3V02wThJyhTGETIVMlYfznG5fSIyiAu8ZX0NPlFmUaev0k9Oq9FXZkid0p3OyHJ4lHU4baTGtyogIE8YwIkJPlLyn9OecGcPFSZurJyY5wSSsNYbdNuemXpdptZyVtsjmnT48s8pH165ja5ZzR7/HMMJaSViDYYKEtZoyM+90gk+lwxvbCSclqZPYNecxmzFuDGelLeZ7TtqZzZX/Pb6GU9OULUmLPoqxwpA19DJDPxf2d531w2tZz5VmHSKWViLRRpRbCc37ldCESfnT8XWoSuSuHXTGQjewthX+dmQDq8TQQznRpLRFIidOpevFx1em47wyHS/00rkVrAQdtdDtO1vpyaTN345sIE3cUAwWp1qYzQn9zNXnAkY8N0pFcFQFMneoodPvJwxLaWKX5IaxO3fQz0fpqjCN0EOYB5R2sXkowDyORDskTAN9oKNKWymsUBOfPi9eUqg+AmKPx+AnFhCkZTPaYej4dczc/7Cv+eJEP3X794o8w70OjjgF9k+z57ovAzBUtCikVhIsQ8bHmzOOfCGYKDo1XuFOIU7PbQwkUQyUtLaZGdIVqlLxeu8ht3np3ksjhbRjYFUKo8kyqlLgMOKJH1M4pnXiV199NVdccQVvfOMbGR8f5+vMkgOnMMTzGGMCQyrKajGMZimZceqW3x6e5J0jk0xpTsdP2MF8SQR63trg3LTNUxOnrwzOEcE8i1aohZM6XtIZpWKPEVsp9GHGx0F+QTKKJhA6fylZOHOxbtd11tOSFqclrSLdSbQ4v90pyuyHQ9kRzpcO5yXCTxlXt9IULQww935JOl5cX4X7Ptt19TiBITaaIYwqkju1Ym4hs8ZbWwha+KULimKKzVo/WHFWH2EQJyZYqDQ4lIQ74RnmVE3Ab6QaC7lAXhjIlZJcsOCIo+AFr8PQ7oIkjPo6lBuX5Z6nFDrXpiV/SFee9hfSlPk5r0QTnmhhlld/j+94/BQyhJSq2qL+3kS+WvtvgWpjZp5ZT+BN/zfDkfcQStuoc0ItnnX1/ngXINp+M7KVaqH+iO9lEuR1rVr+mPBcKD+HCcBIaYIp/j1JhaSTkA550vZE7vZzvEnwiDe/9Sf+LI8qeyCJLzt27tzJO97xDk4//XSuueYaOlu38grW81RG2USbIRzPdlQZUmVo3jKVK0MtpZ26jjKKI4vMux/3c0tipHKmQUEH4szrtG+LgQsgLefabPu2cFkuHStKqbNOqBT5iidyIbdu+IedeGOEpGVoP+MZyNgY81+6kWyuXwQbagrlGYjRmNJ7vY6QvrQd96RTEGu5pxCk6jAoi0i2YnE+/2Hzyf0vEiLHuTah7jebS2QkEyTwwrikQqpBUosDEoZXnDbXyFXcv/dxts9Bfy9AmiuJlGQRm/2FMp0FhJLWnFc0MWhu3al/Wn12RQyR4vmGaaaUjuuvQOSx9BweU4YbcEESjqfhcK3W/hs/dwszdz2Azd0W4vGveAH7bvkWvZ17Gwm7nH6akaCevMu9pZbiz5u29FWwPpc21t2zxEUYdJEFo/uzSNlh8pPC2kSLFU0R0EpKXXixUTnkLU7ahmRIKgRO2/i4RlLE9imCmLkHum6RJi8dA5348mL9+vXcdlt5jN3dd9/NA++9ljYJ+/AEDszhNoa6CCN9ZSS39FJLpxV7mwV6ccPHDXYtiNAIyJoJzL59zqIltoXOlL5oCnfFAAAgAElEQVSVghhjQglSYjG4vV6vMklEUkkgwcyWdUhzS/+mW1GC04cUp5sEt+kQt9lGziChrFD/cC50eOWeDIMTSqGS8NcblJaXjMJgThMlOWEdQ/unMDNdstz6Orv/gOLgdZBiFEtkUqkREcZehGWsjkCW1XsVdKDhnirlZJR5VUN4rx90kyIYVRLv0NsouSoMWSUPoU5NeL62uO9uQpbCGqOUsqvknawaIz0w7axzcCqYrv8c6tb23+N5Nqckd9cbtbDwCP/V1Smzd9xb+W3HtV+oTBoHR/GkfH7KkNFiVVqUIy6MQaJuQrR+BnSTnpO+08QWZoFN5ZjoGRb90kSTdOy9mkjFkcokgmkLaSR5Jy0pg78FAm95/XfLF5CKt2kUqJ5N+TixfCQuIi8B/hhXww+q6rtr/w/h9gQvAHYDl6vqVhGZxB2c/Azgw6r6q4cq65gl8Rg7d+7kTW96E9/mIf4rJ5PWlrPgduJTxJ2K3RfA0k6JJK+S/NRLjyXxKLJvX1FesVFTqFjctfEy3l0Xy1JVuHGgXvUaE1so26kp+rlLFyTuOMaF9QReLTeWtfx14gZgESckKqvy3qhKEKwqRr3L97bdTrr1+m9nKlm/rkkek0X+jyIXqDivQ98OR8CBzL1EHwVdAgqpsF7awt/KPrEYiggFqoXJ28LIfPVgTwuRH5guw5vjBlEHp/teJER3Uc8F0qu4e5D4CTaY9FXb1vxdcNeWNS9TBSHCFBuGvqyDmFQnnsytluq/IIEHQq8Qc42443gzpiULPFQLwSa2MEm8jX5bSqk7jvve9qTdSRyBD5kykmUcw/2JorAjXo6sJAH+HHgx7hi2r4nItaoan3Z/FbBXVbeIyBW48zQvx22p/BZwrn8dEkfLxPDvgefjTo1+GPhtVf3rxdKPjY3xzetuYBc5X2UfL2SCBMV4z7AweDPAIIga6LvBmhslSUqJtZGTImR5KRFXB3hRexhqId3MTwghQ/9uQNtt7FwPcBuj4e+wxCQ1YG2kKimlQCjfsyLEZgNpJi4Pl9555ycGhk4/idZx65j68jd8/fzgUfH01DywCgnZRoOeSMKH6D7oguurqFKNeum6m7uVU8/XwTmGCKkqok6irre3TlpNxZlWgiQJzPfK9MYwdvbpdLftpL97X8NVsbqpll+njY3zqkEASRMkyznxDa/ksX+5nt6+A8Tq2WS0Q97rk/VLWi83JxUTrUTA9d9A5uVKoJyUw5Mr8seb90nplh+sO4rPUuqdw8qtUFfV2gNlmlQWkniQ3pPCWoTCMUyMI2LTcrbbwT0+dJoibINXwQX1SbD1LiJGhlhIQbo2UlqfdBJ3vmkniQ5w8R11OUgclo3EgYuAe1X1fgAR+ShwKRCT+KXAO/3nTwB/JiKiqjPATSKyZamFHS3rlNccTvrh4WH+aMNaXv/YTm5gF89nmEk65GhlKZoRlpmOyDVTrFESdVJE2FAJ1GB8pzeeD/u5eN15GC6LdI5OB+lO0UoUa0pHBvDS+1yvYjoWiLyQofuWrpUF0ncc+6KE++2p1/8te6+7iUfe9Rfu15FhdGa2iOfhyFKx9/6A3n0/cIPN52NtGOhS/AZVAtZwvV83mDDraI1IG26JxL9LSfquLVoh8FkvbUIpxRqksG2O9cUhDUBihMS6DbnYaj0FN/GMDpHN98prrWXmvh8wvHlDQeLF/W9k57BSg9ZoB7EW28sqZQkREWc5GfCDD/9zZGFSQmfmaeHUKqWe3JnlJVLdiC2u0ernYpLx38PkakxJ3qVUXJK3KdR6QeXmLEFCKxZOyrFEXapGQtySJAlu7+4VSLzwpAz/t4UkNcXJ9Avi84RnGRN36qVtPynEh39I6kicIQMbNsPUo+UNCcMzkP1yYOkkvk5Ebou+f0BVPxB93wg8FH1/GHhmLY8ijT/ObT8wyeNQC60IdQrAlX/+DG54x618+K7d/BWP8d85iTlMQdwhVFapLxSMglEQC1ZAVDF46w7jD3k1uBgZOYXOe6FBV5BU/Ze9wca6woKVtFW1hyPIcOZAGR7URGZ45TXx4EpOWMczt96ESRJ2fexfS8l5aiZK69YjYcMxEKngNvIypKi8d0QtBm21jeWEpF69YYpLm4/B8jzvVxqljW9YoBT6baQxGFOsuz6oGsPXP7h1V/LJLXlk915cMt9l9vtbXT1r/+XqbLeb2pTtOVDyg4JtWMHUde5Nao/wWxN5B9VEYg6lvKmuegLRVr9HapOIhCvu6+Ik6MrBFFEpxUTs04lQSNRJWpJ4Ed0xqEK8B2Whww4v4y2C6pE2oVSRtEw1dn18elM4AKVjXPqp6LD40LlCI9PlkKAPIrQtxC5VvfAQmdWxQJO2hDRLwoohcfmJX+B9J2zmiz/1Ee7fPc91re2c399QkFKsH4eShhNP5FbFS3laqA5EQXMii4v4QSrSbrP+N9/EY7/9HmweS0YuTWypIuLsX5NEkLEOOu0cdGTVGExPF5Yh1kqx6ehbtkACi5E9tgvt9fnOy65k6qYw+VcHdtC/i0DnnNPJ7r6PzIZNV7eRlxy/hv72vQUBxNeHtoDTTas6KV6kpp+tTE7h+rgurjwjwtjznsn6113Gvb/wVjfOsCQYL0mXeUjtVUWp7w13PbxS3MRQdy6p1K2WV7liCKsOv7wXv/7Q+pVevUCQXENNShhKS5n6pmThFFOQdwj6JIVlkQi007J+gf5dPWubv3HbpPq5Hi3RJBS654J4vWqMot86Yi3CN0gkjBpPzBFBJ6lxxF0cyCLl5mLLlOQrlLrLeDbzkUEL65JYGo/PuC0OEGmQNKAk+sQRuLSWg8RrN/WJ4WFgc/R9E/DoImkeFpEUWI07MPmwsWJIHFVWjbT4P1edwwv+8Bs+BsU0Z/nIa0q1vwRpPPckblQjwhXCIatOXy0VuhCfj+32ePS33lOx8IjNC51NeXlFniiJhXSqW9q+pkmkY6eYKBYj7rge4ZdbVv1IMaihalro6uJ/F+jedZ87oNaWtKcoyc69DLW0cMoQcTbWquLPAvYTU6RqUpWIzhbWVaQkNin+E1SUqS/dysyNt9JKw7JcSbOcVi70vJIkuGwL1bWPKeoQNtJKE8eAInSrukkh3JK6zBzyDurWePqw6ki1M+RDyhYHOy8M5eDaHh2cQETqYXLXYt1VWD6Fz+A3i8VZf2SFyi5I5mFCtAy1KE59D1YdUiPhGMHSA/HSsuAPtjDV2OimrCdFnf1EZtwDrXhIpqWkjf+/0FenEflGB08XxNyKJsUofDKC+y+WtoN+21ASdJgImpAa92p5Al8udcry2Yl/DThDRE4FHsGdZP+ztTTXAj8H3AJcBtygBw0DujhWDokDqPJjp6zivWcezw3fn2GLLQ+NsNFLWWilYC1kXqLBeAnKq1eCtUhDcR6ll2D5X/NZg6paGWP5nv0spJUmLN4RVUuJN44vHS4TKfY4PdEIpdwals/u3Yj1ZLBYm4W6tL4gDWGTdDFI5T6IKEMtcSuCvpLbnPq9JEor/t1Eaof6vc4t9DNxejLv7h1PwlBKw4bSuWQxYcuIxaSWdlq9v/HGbyDu2Aa/TFPdYKwji/ZZqiu+MKlajCjDQ9Ae8fbRcdz86ACTenz3OtEvJPSSnJsQ0iyQrJtv1IKjCd1SQ6rmgMGTsmn2r98kCZXAS98RkRcmLdEtSzx5h7Rpc7sOC3FZTxBex/2rwGdxd/NDqnqniPwucJuqXgv8NfA3InIvTgK/oqiKyFZgFdAWkf8MXFKzbKlgZZG4xy9snOCCrW0+263e9OrQqP/jiC4XR2BpAmEdLAKts06nd/d9gHVqAS+xE6RWnB415FcQXfFbiAcRJEf1B/I4Iq3LtKUaJNSvrqGkSB9IovByM3Gfc//nIuR5ORacxOdJLYpVETzu3GEEGhFKWa9DoZnAa7rbSD8e/k8MjAxFp6j71ULshARBLRV79+kC8syt34C1QpYbsE7fLkhB3ELpGt4wXVE+M0fercSpNoLkLPXUfpIuHbxKvkm8y7/xR7mFAx/CXkpulX7mjuiUIEkAYL0VCHSGoD2W0h5LSIZ8/Oy03DgEGg9dLiR2T/gVUi4kXUqJNSbNIPGGw6GDmkNwkUHDQSSRF1NF2g7v3o7b5WGqk0CshLfR5/pMGNVT6jqkuO5Bci+k9uUgX2E5Q9Gq6qeBT9d++x/R53ngZxa59pTDKWtFkniMOXL+iW38BGs5i+Fy6QyRH4CnB+9IkyaOwFJ/WK4RyO75vrOAKFKXuvPY9Tt2KQ8DVBHvlVYlHohUMJTenU19ztpSirYanU4kJXEHK4NA4lDmFTaxstylD5unImAKU7EyXUuUdho2dGNCiMg4ql+szjkYSuedWAddoq46iu9jKN/F1qjqeUErJB4+B0eoLHcmmQU/VfiqnKBiu2ljKIg76H2NWahaiHXFahdyj6RV55UQfz2E3dWsPIqvOM4tt6gFk0J7rEVrLHGOLmHz0G8mFtYbbeNWkPEmYcU9NCJqKRpePhSqaUNkwELP1A5ELt65wuUvIRCN9Tc99f8H1UcoJy1JXFJTDrzF+DVWtUApVYf8wq6zNlxTV7kceeuUYwormMTdE/139vB9ZtjKLD/PBp7JGACzPs1QkT5Ieo6MjZfICRJxQVKWVgItf2dyq8VhAiUhx8tqKdQdRXhcUxJH6QJfSpIFwURSuyMi8WRfOhhVXZfL47pinWzIK7el9JnlOK958FItkc1weUdaSWCCquRsYjKvC3AHIeZ62kOjOjEUAllaNWNDgwqoVCfEx6U5yXTxSSZIp8ZLcEHXG8qhIOtINeHrETb1yszK9yLefCz5BsIr6lXWvT4PmsRLvoGYArkG8vYSsgR38ybUybu+qai1tIXaRCK9tqlJt9F1dTKN70FAIO+6hBzqcyjCjTtX6DjBZKyukonVLcumDxeWUSd+RLFySHz4KbDqDmTNEO0Th1g7NsN4t8eLmGSWnG9xgL/iUXYyycWsxSCM4NyxJwqCdq8yFGasaijJOw2hLsFLTl6KoiR0DRullMQc+m18uGyI6haO2arb+4axk1sly30wotwROSycHEL6OE8IBC5Y8aoGoTIRmMr4cFeZcPxVGMMNPOWuZ4GDB0SkWieKJkQZ1sm92FiDyiZcCD0ap2861BlZmGc9bWWDLyn1xdUN5nBfHHEXAZciSbhCHtGGnwvEJLGWpCByiYLFSH1jMFOnY8mqZ51KOMw7Lj9YfsQzZEF+0c2NO2Zs4hfql5iaOZ8pVRhJ1L7ixhQ3yH125lX+uatftcQTkQSPoSh/43ROJlm4QihPk662Ic9wJ1NkXiqJO1F8/TIR+fJZpxxRrBwSb52LnHYuTH4Us+WLbLnoLv7rPzzGt2+d4/m9Sa4h5Rr28M/s5tvM8ZMcx4m0SRCMVVYnjsxGhvJI7VEu2wvyHjKNB69aWz31p34OZCzFBSzaJ4K0F1kFoFoc25b3HKEDFbOxel+PUZdImzffys8C3vU5qo+XRkOCok1CqW+ttTHGghOOpPpejNFg0hbnI+VvEtcnrle4tiCyhdcvrBTlgI9N2eqbYfEZbBHJSmxBUbh5Q2yRUZGg4zb5lVGRd0RsmVXSlin/s85rtXAmiF3KQxnxJBGTeP0expNTbQUgcX71CSlWZyyGqFNV9r+Le2BKaSGQdmJK8pZoQ0f8w1m0vCGwuSPxPHNRuuqrrcdn0LEIBpL4kcHqK5ALr0BO/gAjP/IlnnXLVvZ/YhvyzRHO0SH+Jzu4n1k+zEO8jdPp4zz8brAHOD4VTkuFE9OEkUQq3mgh6E5jnxKcjWzHEVU4xu27s13mMotRoWuVjjivwh7ugIXTWy1EhAO5ZZvNWN1KmBhOGW8ZRIR5a9nWyzip7eLeqsKNU3NsSzJyUfrqJXTrVgNntls8Z8S5NR3QnE9PzzFkhNGWITMwZy07ejnTVnnd5BibWi1Q5ZN7Z7hjrosCPQuz1noPQ+W0TptfP2ECMcKcWn7p/h2ouP+CpU9f3Rh/00lrefGaUUTg5v1zfHrnNHuynP2ZpeOl864q69op7z9vQzEm3v7d7Yi47dA+Sk+d49NYanj1yRNcsNa16fpt07z9W48x1k5Y3U44ZazN8aMtBDhxrMVrz5pEWgZJhXfe+ih75zN2zPS5c/ccUz3LRDvhhNEWl5+1hjecux4S4epv7+Tbu2Zc9ErjIlIe6GWsG22xZjjlN1+wqXjg77vpUXJVJkZa9HLLfN/SaRmGWoYLN41x3oljIMLDB3r86Y0Po7j+M9dXdkz32DnVZ9VIyj/+6nlF13nvZ3/AQ3vm2TPT5/aHnb/AfN/yvW2zvOtntvB/v+wUEOHqGx7is7fvZu9Mn9OOG2FitEU3s8z2ci7asppfueRkAL778DS/+IE7GO8kbJzsMDHSIrdKKxWGWgm/fMlmNq0bRoCb797Lo3u77J7usXN/j/u2zbLjQI9N64Z59tlrecOLTwIRdh/o8bnbdqDAcDvBKhy/ZohWYti8rsOJk8NFewrpGhwhBwk7/j/AJEECKUnb1Ig7vC9GzomBVsuvKDyhF3a+tjr5PlEMJPEjjPW/hDz/vyBnvI+Jp9/M8258hHP/eTun33Ucv8c0B8hoY2mjCBn/j+6g3wf2u8vXGMP6NGHYCL+xYS2XDI8AcMOBWT6y+wAzVpnOLTOqzHjSO6nT4voLT3KWB33l0rsfZG/WHHLpbZMTvHVkCJMKX52d58oHtxf/OWFO6KlzBNn941swvgP9/r17+Pp0tzHP10+O84JJZ1b5SDfjzY8u7qH7s2etYfWqDjZXPr9jN3+3s/mYsx9b1eE3JtYhIuS55VOLnHQE8IYta2ivScEINzy6hz96sNk34ZTxNmzqFFLin35qD/N582DbtHGEC09eCxZufWgP39jbfIrR+FDC6/7TJsSfSPD+v9rB7pnqsXE/AL6ze44rn3MCnDwMRkgfa/OB67Y25rl2NOU3rzijkED/8OZH2ba/15j2915xKuedvRYS4TPf2sn/vv7hxnSnHT+CTPidGBHe+cn7mZ5vDov1yueeCONtELhnT5dPfmMnADfeU431sren/MqrzwZVVvfglu81x4IBuPS5m9k02gERPvCFO/mb63/QmK41OswbVk+AVb551yO89g+/3phuYqzFnk++CoBeP+c5b76eMzevYvOGcfreuihNDeMjLS5/8els2TROP7N878F97J/pcfKGVWw8brhK2nUCh4iYtVm6ToUiPkbuydzm7vNyICw3VyBWLokDYGDjW5ATXg1PuYZ1F32ZV35hGxf/2y7ynsW0ephE2J1bXrVrjPt7fR7LcrZlGXutZW/PEXB3WBiZdNLw96dzPrV/4fFqALuynNYJQ8E/nxduHeOB6R65Km0jzGbOkSMRYcvxHVZv7JC0hcl9lg2PpVhgqp8zmys5Siqwpp3SO77NRNtJLRfvGufM+WFS488TpTxJ/NlrR1i9cRgEjptPeX1vDV2rTGeWodQwnBomOgmTnZRTzlqFdBKMhZ/RdWzZOIrBqVhHU0PLCEkiHD/aZuiUMfAq14+Pn+4OVvY68CRxaTOrnLd+GBlrA/DC1iTjGzq0UsOGiTZdqySp0GklrB5OkC0jBYm/+xWnMtWzTm3VMgylBmOE/XMZTz9jNZzsJtBfWHsSz3/WcXT7lj2zfR7cPc+OqT69XElTQU4YceqUVHjnq8+gn1nWjbfZODHEqZMd9kz3eWDnHM85ew2ypgNGeMXzNtLtpIg4i6T5vmXNaMr+2cxJ5ms6xfL+zZeexo59XfZO97FWWTvWYr5nme/lPO3sNcjaIRBhzfoRfuc1Z9Juu7AJucKm9SOYxHD6xnGYWF30mTdf9hRWj7ZYu6rNlhPHWTXa4sBMlx89bYLVY+1CSv2Vy8/jgh/dyMhwyj0/mGJ6rs+GyWFGOykTY20Yc05tJ46O8YU/uYTpuYxHds1yYKbPfM8RmbXKxlPWw/gIiOFFP34qjx7IGe6kbDlpgs0njHH85Aj3PbSfS35sc5Hn+PpZfvoFp7Jj7xyrRlug8OC2afYc6NJKDYyOAS5s7j0PT/G1e5on75/+yXNgdAzpZ7z41/6ObbvcONp0/BgXP30jew/M8+jOGd505flcdZlbrew7MM/4aJvESGn6E2+k1vXegeCDrtzaRTZKHgdWqCQuj9NJ6EnHhRdeqHE88SWheyv6yKfhG19Dv78f/fp+suncnf7ejx50Kuyxlj1Y5gROnWizbrgFRrhz/zx3HZhnrJ0w1jaMd1LGOimtluFAnnPu+uGFut+AwtBDvTUFjRt+PWuxAp22QUJc5HbQFVK1NICqhUHFODhKA8362YPqims61/o1lfKjDbKAyDFDQr3jvOtlhXfDwsEZ/qtbccS7xolEG2SG0oUxvoBy+R4v5Ynyq9yHWDI0UZoGyTDoe4l11OF8MVPVBx9sXC3YoGiQTA92TXOCmiojqluo32K7y3FHtbba5ug/VeWGrz7CV+/Yzvbds1iFXXvmOOeMdeyb6vLut76QNDVYq7zxtz/DdTc9wI49M8zM9olx3Ud+lhc9+1QAXv1r/8i3797BS557GuvWDHPlT53DqZtXx95r1WZWdqJt4XRgnvanXz9EPJOD4sILztTbvvz+JaWVzoufUFnLjR8uEg+Y/TTsvRt97Htw71b0nv3o7VNu00ikuuPvnRWk2LDyVghxLIfY7TgmyXgnvx4OUymsDuhZ6NsyapNQxEiuOEiE/+KsaiQXghiVhtKR1CJUiTUm5TqRxoGGksTpHU3DclK1XLYGD524boFMmwizks43TOKXKckmvAc9Z5Cwyl3jkihjslzwqm1OxRNRaE+d8KP7u6Dt8fCI08TEvxhRVgqOKlPf0NNFCCsuJ86j8lsTMUutjFp5cbrClrCuyogN4iOJpLi/0pAP0aTk8s1zy3fu2sbt92yn280449RJnv30zbTbKVPTXX70J/+MrQ9X1UNbTl7L//i153DlpeeC5lQm1UXujTnrD54giZ+lt93yF0tKK0MvOqZIfIWrUxbByEth5KXImn+DDXfD6d9DznoQnfISQYNVREGSUvs9JsHwe92cqkhTG3DW+jPG1JF5IN/CUsKU5ldp7VEsIInys4Aj1rDZY/0mTxJZACSmSjB1qwCTuDKDZLsYAcdLXGsXknj9tVgbit9qv8cHLAZCCWWFzas6+ZuYSOJ2xiTaJMEdhsCymHCzoE2LEOViqBBfVE+tvS9I3/T9YGXFz6RaZ1lQh6geeFPL4n5Fm4j1vJvaVJtEkwTOP+8Uzj/v5AU1HF/d5q4vvI1//Mzt3PiV+/nIJ75BP8u598E9/NzbruV5zzqdzRvGfR3s4s9k2XCIZ3eM4oeTxANGXgYjL0PGP4Eedw8yu9eZKvX7TrIMmyRVY2Eqom1BHkRkKFW71yYpNCypY7IN5BSkyUC6se3sAjKMf48GiNYkpTh9TGgLpLNaujCjHYx8Yuks/r6gnk0DuymfKE0TAaq3izmkZOrvHYIYfy68SHk9NDsANd63eh+AhcRfn6zKZyIHJddDkHtMmI1oem7x74vUdzGp+RATjcR5xXkeamI7FBpsXjsjbV7708/gtT99IVf/r58hzzI+9LGv8e+33s/mTesARdXysX/9Dpe95BzSYBq67IQuDDY2j2WsugwZn4fuFyGbK195F/IeqEXVloPfRoFtK8bZ7iXG4Aij/mqScKAyGCoE2DSgItIuvh+GhLAU/WqTpHU4ecf5HDRdIBEbtb/Jb73BPrdRxVAvryRxH9zafS7KsMhB2xbIqWFCbCq/rqI4KDHWJzTDAqJeULdDPYf42YZXkJJrbVmgTqEULBqzbupvTfdlse91LKVPRZOQumeVtlN+6cof55eufLbPXvnLa77MG9/xz7zrKSfwF//zP/PsCzazUP2zDFjqZHSM4T8GiQNIBzovAe1Bfqsn8lnI510HKsg7IpxF9Y0RcdeX05W0Hofb0eqTwWF1rqWkrU8qtYhOB827vgSvkVL9XgBOrxnd22JpXlvyi2mYSJvIIo7GZEoir+8Eq7qyF21LEzEdRL1RmSCXMLkejNgrOFwiapLEaxMzcNBV1qJqm/rzbUq/CJEvWOEcrF0Nk0UsSPm2iCrnnr2JTRsmuP3ubVz8qqv5b//lYt7zWy9zY1aWyzKFZmFiBeA/DokHSBvS50AyA8nXHYkXnaimNigvopHQl6qOePyVffzXHHTgLlWaqme9BDKopw1EWrwik7BiEkz8SxamW3TF4CfZxTbpirq1lta2Is+m9tXLarr0YOqQgMNQazwuCbPpmsOZOB7nJBMTb7wqWBKC+quByD2e8+yncPdNv8W7/uRz/MH7P8/7PngTj22f4iPv/RnareVUgQwk8cOCiLwE+GOcTcgHVfXd8f87d+58kiswCq3nQroXdCtlJPKY4JoeqlRfjVJZgzoF2L5jD8cft3YplXuc/y+1E9bbeSgCWkxN5K7fsXMvx61fQ/WeBRKfA/WOGZpRWhvgpfAEd/qA31y1IW3fpS02UutEvhix1+u8BBxMt1/Jt3aPmnTrB7M0CWUVq7jFNpObrm1q70HQqKNfpvsFuAMRx0FaoA8Tq7CWVsf6PVP33NFqHwFQZXS8ze+/41U8+6ItvOqqD/Cxf/02M3M9Pvb+1zLcaQGsO8wG1HCISfVwczsEv4nIEHANcAGwG7hcVbf6/94OXIWzZ3uTqn72YGUdrdPuE+DPgRfjjin6mohcGwc+37XrsM8LfZyVWeNeRwAve9mFPG6zyWMYL33pQdolAH2Qb4CmpZQNnswSMG2QpwEpyDyYb4O2HKEbrw7R+sQDCwh9USw2GTf9fIiB3EhQS7BpDnkvWL01T4yHLjducz2fiEgX1KFWn0qag9zHBeX3gD1+/KwFnQJqK61F86i9l9HP/PVJVbqXsl4vveR8bvzkW7nk1e9j7/4uB2ZyRkZHAQBngYgAAAerSURBVNY3F3o4WB51ylL4DUfSe1V1i4hcAfwv4HIROQd3QMRTgROBz4vImaqL6gWPmiR+EXCvqt4PICIfBS4FFj29YoCVjBaYZ4IeAL2Lik7bPA2igMEuQM0zQfeA3LOQEOpqi+XY2Hq8EtiiEvNBC6uV+ThUGIdss4Ltu3sntQkm3nQOk2h9hdRUhoQ61VZDGntvhjyjtAvqHVQm9ZWu+lWZidQytpTOw/WiPOOCLXzzht9m0wnj7nCX5drcXD5JfCn8dinwTv/5E8CfiTNxuhT4qKp2gQf8yT8X4Y5xa8TRIvGNwEPR94eBZ8YJZmdnuyISzz47gSMknj9pWCciK70NTfihbRcrv8/V8cPUpnWUEvgTUo5//et3f1bMM5eqkumISLz0/ICqfiD6fkh+i9P449z2A5P+96/Urt14sMocLRI/5BpSVTtHqC4DDDDAf3Co6kuWMbul6MgWS7NE/VqJo2VT8zCwOfq+CXj0KNVlgAEGGGA5sRR+K9KISAqsxh2YfNjceLRI/GvAGSJyqoi0cYr8a49SXQYYYIABlhNL4bdrgZ/zny8DblDnXnwtcIWIDInIqcAZwFcPVthRIXFVzYBfBT4LbMXtwn5SRH6jntY35mMicq+I3CoipxzJuj4eiMhLROQeX+emNr1FRL4rIt8RketF5OSjUc/DxaHaFaW7TERURI6ZIEGLYSltEpFX++d1p4j83ZGu4+PBEvrgSSLyBRH5pu+HLz0a9TwciMiHRGSHiNyxyP8iIn/i2/wdEXn6ka4jLOC3u4CPq+qdIvK7IvIKn+yvgUm/cfkW4Df8tXcCH8dtgv5/wP91MMuUUOBRe+E2I+4DTgPawLeBc2pp3ghc7T9fAXzsaNZ5mdr0AmDEf/6VY71NS22XTzcO3IjbnLnwaNd7GZ7VGcA3gTX++3FHu97L1K4PAL/iP58DbD3a9V5Cu54LPB24Y5H/Xwp8BqdXfhZw69Gu85F4HW0/08IUR1V7QDDFiXEp8BH/+RPAi2TRgN7HBA7ZJlX9gqqGkye+gtN7HetYyrMC+D3gD4DmI3qOLSylTb8I/Lmq7gVQ1R1HuI6PB0tplwKr/OfVrIA9KVW9Eac3XgyXAteow1eACRHZcGRqd/RwtEm8yRSnbk5TMcXBHbA2eURq9/iwlDbFuAonPRzrOGS7ROR8YLOqfupIVuwJYCnP6kzgTBG5WUS+4j3xjnUspV3vBK4UkYeBTwO/dmSq9qTicMfeDwWOduyUJ2KKc6xiyfUVkSuBC4HnPak1Wh4ctF0iYoD3Am84UhVaBizlWaU4lcrzcSumfxeRc1V18YMujz6W0q7XAB9W1feIyI8Bf+PbtUwRpY4KVhpXLAuOtiT+RExxjlUsyURIRH4CeAfwCnXeWcc6DtWuceBc4IsishWnk7z2GN/cXGr/+6Sq9lX1AeAeHKkfy1hKu67CbaChqrcAHZ5w/JGjjv+QpstHm8SfiCnOsYpDtsmrHf4SR+ArQccKh2iXqu5X1XWqeoqqnoLT9b9CVY/lYDFL6X//gtuIRkTW4dQr9x/RWh4+ltKuHwAvAhCRs3Ek/iRHnXvScS3wem+l8ixgv6o+drQr9aTjaO+s4naUv4fbTX+H/+13cQQArnP9A3Avzl7ytKNd52Vo0+eB7cC3/Ovao13n5WhXLe0XOcatU5b4rAT4I5zJ1+3AFUe7zsvUrnOAm3GWK98CLjnadV5Cm/4eeAzo46Tuq4BfBn45elZ/7tt8+0rof8vxOmYPSh5ggAEGGODQONrqlAEGGGCAAZ4ABiQ+wAADDLCCMSDxAQYYYIAVjAGJDzDAAAOsYAxIfIABBhhgBWNA4gMMMMAAKxgDEh9ggAEGWMEYkPgATxpEZFJEvuVf20Tkkeh7W0S+/CSVOywiXxKRREQ2icjl/ve2iNzowzcMMMAPBQYkPsCTBlXdrapPU9WnAVcD7w3fVbWnqs9+kor+BeCf1AXTfxEuBjXqwrJeD1z+JJU7wABHHAMSH+CoQUSmReQUEblbRD4oIneIyN+KyE/40K/fF5GLovRXishXvST/lyKy2Annr8WdFHUxzmX+Mn/NqbhYKK998ls3wABHBgMSH+BYwBbgj4HzgKcAPwtcDLwV+E0ogjRdDvy4l+xzGsjYB3w6TVW3qupNuGBQl3rp/wHgDuAZT36TBhjgyGCgGxzgWMADqno7gIjcCVyvqioitwOn+DQvAi4AvuYPdhoGmiJArgPiWN9n4cLHAqCquYj0RGRcVaeWvSUDDHCEMSDxAY4FxPHUbfTdUvZRAT6iqm8/RF5zuMiXiMgkLhxpv5ZmiJVxfNwAAxwSA3XKACsF1+N028cBiMhaETm5nkjdWZiJiHSAU6kdCuCJfWcDsQ8wwIrEgMQHWBFQ1e8C/x34nIh8B7gOWOwQ3M/hdOp3A+v8hmmwhHkB7kzJAQb4ocAgnvgAP3TwJye9RVVf1/DfPwFvV9V7Fl45wAArDwNJfIAfOqjqN4Ev1E0QveXKvwwIfIAfJgwk8QEGGGCAFYyBJD7AAAMMsIIxIPEBBhhggBWMAYkPMMAAA6xgDEh8gAEGGGAFY0DiAwwwwAArGAMSH2CAAQZYwRiQ+AADDDDACsb/D8LRv4pnc0UeAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Visualizing density plot of simulations\n",
"TargetRate_MarketSpeed_Helper.MakeHeatMap(t, nu, r'Time ($t$)', r'Trading Rate $\\nu_t^*$', 11, 100, 100, 50, 0.01,0.2)\n",
"TargetRate_MarketSpeed_Helper.MakeHeatMap(t, Q, r'Time ($t$)', r'Inventory $Q_t^{\\nu^*}$', 10, 100, 100, 50, 0.01,0.3)\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"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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