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Market Making in Short-Term Alpha (Chapter 10.4.2 of Algorithmic and High-Frequency Trading by Cartea, Jaimungal, Penalva, published by Cambridge University Press)
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"source": "## Market Making at the Touch with Short-Term Alpha (Chap 10.4.2)"
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"source": "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\nAlgorithmic and High-Frequency Trading (c) Cartea, Jaimungal, & Penalva, 2015 Cambridge University Press\n\nhttps://www.amazon.co.uk/Algorithmic-High-Frequency-Trading-Mathematics-Finance/dp/1107091144/ref=cm_cr_arp_d_product_top?ie=UTF8\n\n### Introduction\n\nIn this section, we cover the optimal market making strategy of a trader who accounts for short-term alpha, i.e., short term predictions of the drift. The details of the model are covered in Chapter 10.4.2 and summarized here.\n\nThe asset's midprice is assumed to be given by\n\n\\begin{equation}\nS_t = S_0 + \\int_0^t (\\upsilon+ \\alpha_u)\\,du + \\sigma \\,W_t\n\\end{equation}\n\nwhere the drift constains a (constant) long-term component $\\upsilon$ and a (stochastic) short-term component $\\alpha_t$ that mean-reverts to zero. \n\nThe trader wishes to solve for optimal postings at the touch (the best bid and ask prices) while accounting for the influence of short-term-alpha. The case without short-term aplha is covered in section 10.2.2. \n\nLet $\\ell_t^{\\pm} \\in \\{0,1\\}$ denote whether the agent is posted on the sell side $(+)$ or the buy side $(-)$ of the LOB. For a given strategy $\\ell^\\pm$, the trader's performance criteria is \n\n\\begin{equation}\n\\mathbb{E}\\left[X_T^\\ell + Q_T^\\ell(S_T - (\\tfrac{\\Delta}{2} + \\varphi\\, Q_T^\\ell))-\\phi\\int_0^T(Q_u^\\ell)^2 du \\right],\n\\end{equation}\n\nand her cash process $X_t^l$ satisfies the SDE\n\n\\begin{equation}\ndX_t^\\ell = (S_t + \\tfrac{\\Delta}{2}dN_t^{+,\\ell})-(S_t - \\tfrac{\\Delta}{2}dN_t^{-,\\ell}),\n\\end{equation}\n\nwhere $N^{\\pm,\\ell}_t$ denote the counting process corresponding to trader's filled buy / sell limit orders using the strategy $\\ell$.\n\nMoreover, the short-term alpha component is assumed to satisfy the SDE\n\n\\begin{equation}\nd\\alpha_t=-\\zeta\\,\\alpha_t\\,dt+ \\eta \\,dW_t^\\alpha + \\epsilon^+_{1+M_{t^-}^+} dM_t^+ - \\epsilon^+_{1+M_{t^-}^-} dM_t^-\n\\end{equation}\n\nwhere $M_t^\\pm$ denote the counting process corresponding to the arrival of Market buy and sell orders, and $\\epsilon_1^\\pm,\\epsilon_2^pm,\\dots$ are iid random variables representing the jump in alpha when a market sell/buy order arrives.\n\n### The Resulting DPE\nAs shown in Chapter 10.4.2, applying the dynamic programming principle to the value function $H$, and writing $H(t,x,S,\\alpha,q)=x+q\\,S+h(t,\\alpha,q)$ we demonstrate that $h$ satisfies the non-liner PDE\n\n\\begin{equation}\n\\begin{aligned}\n0 = \\big ( \\partial_t - \\zeta \\alpha \\partial_{\\alpha} + \\tfrac{1}{2}\\eta^2 \\partial_{\\alpha \\alpha} \\big )h + \\alpha q - \\phi q^2 \\hspace{15em}\n\\\\\n+ \\lambda^{+} \\max\\limits_{\\ell^+\\in \\{0,1\\}} \\left\\{ \\textbf{1}_{q > f\\underline{q}} \\mathbb{E}\\big [\\ell^+ \\tfrac{\\Delta}{2} + h(t, \\alpha + \\epsilon^+, q - \\ell^+) - h(t, \\alpha + \\epsilon^+, q) \\big ] \\right \\} \n\\\\\n+ \\lambda^{-} \\max\\limits_{\\ell^-\\in \\{0,1\\}} \\left\\{ \\textbf{1}_{q < \\overline{q}} \\mathbb{E}\\big [\\ell^- \\tfrac{\\Delta}{2} + h(t, \\alpha - \\epsilon^-, q + \\ell^-) - h(t, \\alpha - \\epsilon^-, q) \\big ] \\right \\} \n\\\\\n+ \\lambda^{+} \\mathbb{E}[h(t, \\alpha + \\epsilon^+, q) - h(t, \\alpha, q)] + \\lambda^{-} \\mathbb{E}[h(t, \\alpha - \\epsilon^-, q) - h(t, \\alpha, q)] ,\n\\end{aligned}\n\\end{equation}\n\nsubject to the terminal condition\n\n\\begin{equation}\nh(T, \\alpha, q) = -q (\\tfrac{\\Delta}{2} + \\varphi q)\n\\end{equation}\n\nand the trader's optimal postings can be characterised as\n\n\\begin{equation}\n\\ell^{+,*}(t,q,\\alpha) = \\textbf{1}_{\\big \\{ \\frac{\\Delta}{2} + \\mathbb{E}[h(t, \\alpha + \\epsilon^+, q-1) - h(t, \\alpha + \\epsilon^+, q)] > 0 \\big \\} \\cap \\big \\{ q > \\underline{q} \\big \\}} ,\n\\end{equation}\n\n\\begin{equation}\n\\ell^{-,*}(t,q,\\alpha) = \\textbf{1}_{\\big \\{ \\frac{\\Delta}{2} + \\mathbb{E}[h(t, \\alpha - \\epsilon^-, q+1) - h(t, \\alpha - \\epsilon^-, q)] > 0 \\big \\} \\cap \\big \\{ q < \\overline{q} \\big \\}} .\n\\end{equation}\n\nWe next implement the solution to this DPE and run simulations along the optimal path."
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"source": "# import necessary libraries\nimport numpy as np\nimport math\nimport matplotlib as mpl\nfrom matplotlib import cm\nfrom matplotlib.ticker import LinearLocator\nimport matplotlib.pyplot as plt\nfrom mpl_toolkits.mplot3d import Axes3D\nimport matplotlib.pylab as pylab\n\nimport import_ipynb\nimport shot_term_alpha_helpers as sta_helpers\n\nparams = {'legend.fontsize': 10,\n 'figure.figsize': (8, 4),\n 'axes.labelsize': 20,\n 'axes.titlesize': 20,\n 'xtick.labelsize': 15,\n 'ytick.labelsize': 15}\npylab.rcParams.update(params)",
"execution_count": 1,
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": "importing Jupyter notebook from shot_term_alpha_helpers.ipynb\n"
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"cell_type": "markdown",
"source": "### Sample Results\nFor the purpose of focusing on the effect of short-term-alpha, we set the running penalty $\\phi = 0$, and the remaining model parameters are\n\\begin{equation}\nT = 60sec, \\overline{q} = -\\underline{q}=20, \\lambda^{\\pm} = 0.8333, \\Delta = 0.01, \\phi = 0.01\n\\end{equation}\n\\begin{equation}\n\\eta = 0.001, \\zeta = 0.5, \\epsilon = 0.002 (constant)\n\\end{equation}\nThen we use the above parameters to solve the DPE for $h$, the optimal postings $\\ell^\\pm$, and visualize the results below."
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"source": "T = 60\nPOV = 0.2\nNq = 20\n\n# Short-term alpha parameters\nzeta = 0.5\nepsilon = 0.002\neta = 0.001\n\nDelta = 0.01\nvarphi = 0.01\n\n# Running penalty\nphi = 0\n\n# Price volatility\nsigma = 0.005\n\nlambda_p = 0.5 * Nq / POV / T\nlambda_m = 0.5 * Nq / POV / T\n\nNdt = math.floor((lambda_p + lambda_m) * T * 5)\n\ndt = T / Ndt\n\nshort_term_alpha = sta_helpers.ShortTermAlpha(zeta, epsilon, eta)\nshort_term_alpha.generate_dalpha(dt, lambda_p, lambda_m)\nshort_term_alpha.generate_alpha(0.02, 4)\n\n# Inventory Vector\nq = np.arange(-Nq, Nq + 1, 1)\n\n# Time Vector\nt = np.arange(0, T + dt, dt)\n\n# The DPE is solved in the helper file\nh, lp, lm = sta_helpers.generate_h_matrix(short_term_alpha, q, t, Delta, varphi, dt, phi, lambda_p, lambda_m)\n\nlp_b, lm_b = sta_helpers.generate_sell_buy_posts(short_term_alpha, t, q, lp, lm)",
"execution_count": 2,
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": "Processing: 10 percent completed.\nProcessing: 20 percent completed.\nProcessing: 30 percent completed.\nProcessing: 40 percent completed.\nProcessing: 50 percent completed.\nProcessing: 60 percent completed.\nProcessing: 70 percent completed.\nProcessing: 80 percent completed.\nProcessing: 90 percent completed.\nProcessing: 100 percent completed.\ndone!\n"
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"cell_type": "code",
"source": "sta_helpers.plot_post_surface(t, np.flip(short_term_alpha.value), lp_b, q, title=\"Sell Side Posts\")\nsta_helpers.plot_post_surface(t, np.flip(short_term_alpha.value), lm_b, q, title=\"Buy Side Posts\")\n\nsta_helpers.plot_optimal_posting(short_term_alpha.value, lp_b, lm_b, title=\"Asymptotic Strategy Posts\")",
"execution_count": 3,
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": "C:\\Users\\sebja\\Anaconda3\\lib\\site-packages\\matplotlib\\colors.py:512: RuntimeWarning: invalid value encountered in less\n xa[xa < 0] = -1\n"
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"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"
},
{
"name": "stderr",
"output_type": "stream",
"text": "shot_term_alpha_helpers.ipynb:42: RuntimeWarning: invalid value encountered in greater_equal\n \" self.dalpha = None\\n\",\n"
},
{
"data": {
"image/png": 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\n",
"text/plain": "<Figure size 432x288 with 1 Axes>"
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## Simulating Sample Paths\nWe now simulate paths forward in time with the trader posting according to the optimal strategy found above"
},
{
"metadata": {
"scrolled": true,
"trusted": false
},
"cell_type": "code",
"source": "Nsims = 1000\n# Update the limit orders this often\ndt_limit = 1/10\n\nX_path, q_path, alpha_path, s_path, lm_path, lp_path, isMO, buySellMO = sta_helpers.generate_simulation(Nsims, t, dt, Delta,sigma, lambda_p, lambda_m, short_term_alpha, lm, lp, Nq, varphi)",
"execution_count": 4,
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": "Processing: 0 percent completed.\nProcessing: 10 percent completed.\nProcessing: 20 percent completed.\nProcessing: 30 percent completed.\nProcessing: 40 percent completed.\nProcessing: 50 percent completed.\nProcessing: 60 percent completed.\nProcessing: 70 percent completed.\nProcessing: 80 percent completed.\nProcessing: 90 percent completed.\ndone!\n"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Next visulize the simulation results"
},
{
"metadata": {
"trusted": false
},
"cell_type": "code",
"source": "# Which path of the simulations is selected to plot?\nwhich_path = 30\n\nsta_helpers.plot_simulation(t, alpha_path[which_path, ], r'$t$', r'short-term $\\alpha$')\nsta_helpers.plot_simulation(t, q_path[which_path, ], r'$t$', r'Inventory')\n\nsta_helpers.plot_simulation_decision(Delta, t, s_path[which_path, ], lm_path[which_path, ], lp_path[which_path, ], isMO[which_path, ], buySellMO[which_path, ], zoom=(20, 30))\nsta_helpers.plot_wealth_hist(t, X_path, q_path, s_path, which_path)\nsta_helpers.plot_turnover_hist(q_path)",
"execution_count": 5,
"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": {
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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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G+FJEvhSRH4pIz9YP0Rhjuo5PNh4gZXhvnr/q6HZTrdirZku6qOpCVf0ObuX9DbhCk0fg9lLZKyKP+maHGWOMOQS7sorZnVPCWVMHctyYvuEOp8WCrhWmqnmq+pCqHg4cjZt+rMBVwBIRWSUiPxKRhFaK1RhjOrUnF28nMkKYPTE53KEckhZt9KWqX6rq1bhWzA+BL4FpwN8Am3JsjDEelVZU8eqK3Xxr2qAONwusoUPaQVJVi1X1CeB6YBEguJ0cjTHGeLBgYwaFZZWcO6P9L4BsjqcdJP2JSCLwHVyLZQouqRQCL4UmNGOM6TpWpeXQLVKYOapjzgTz5zmxiMiJuHGV83Fl8wVYgZuS/IKqFoY0QmOM6QK2HihkZN84ukUeUkdSuxBUYhGRfsDlwJXAWFwyKQAeBR5V1VWtFaAxxnQFWw4UMmlQ55j71FxJlzm4rq5v+K4VYBkuobykqsWtHqExxnRy2zOL2JVdzDemDQp3KCHRXIvlXd/nPOA5XOtkbeuGZIwxnVdVtXL83R9zzvTB/HLuBABu/+86EmO7cf6MIWGOLjSaSyxLgEeAl1W1tA3iMcaYTu3zrZnsyyvlHwu2MmtcP4b36cFnWzL56SljGdFBV9o31GRiUdVj2yoQY4zpCl5bUbfJ7hVPfcm5MwYTIdJpWitwiOtYjDHGBK+orJL31qfz7aOG8bPTxlFSUcULS3fx3ZnDGdan8ywBbPE6FmOMMd6s25NHaUU1p09KJmVEb95dl87ofnHccsaEcIcWUpZYjDGmjWzcXwDAhIHxxHfvxrs3nBDmiFqHdYUZY0wbWLEzmy+2ZhHfPYoBCd3DHU6rshaLMca0soqqas7/xxcAHDOqDyIS5ohal7VYjDGmle3MKqr9+tazJoYxkrYRdGIRkSoR+U0z19wqIpWHHpYxxnQeWw64Eopv/uQ4DhucGOZoWp+XFov4PoK5zhhjjE9NYhnTv2vs5h7qrrDegK3QN8YYP5sPFDK4Vyw9orvGsHZzRShPbHBoRIBjAJHAMOAyYGOIYjPGtCPz3lxPaUUVfzp/arhD6XC2HChkdBdprUDzs8IW4Pa1x/f5+76PQASoBn4eksiMMe3K05/vALDEEoTyymqio1yHUHW1sjWjsFNs4BWs5hLLnbiEIsDtuETzaYDrqoAs4BNV3eAlABGZBDwEHAPkAo8Dd6hqVRD3ngf8CjgMKAa+BM5X1aImbzTGeFJSfvB/x882ZzJlSCKJsd3CEFH79dTi7Tzw4SaW/PpUekRHkZZTTGlFdZcZX4Hmi1DOq/laRL4PvKGqD4bqxUWkNzAfSAW+BYwG7sON/dzWzL1XAX8D7gFuwo3vnIKtzTEm5GpWjAOUVVaxL7eU7zyxlHOnD+aBiw8PY2TtS15JBX+Zv5n80kq2ZRRx2OBE3l2XDsDRI5PCHF3bCfqXsKqObIXXvxaIBc5T1XzgQxFJAOaJyD2+YwcRkb7AA8D1qvqY36n/tEKMxnR5Ww/U7TieXVTOmj15AOQWl4crpHbpic+2k1dSAcCOrCImD0rg38vTSBnem1H9uk6LxfOsMBHpJiJzReRG/3UtItJdRPqLiJdnngG83yCBvIRLNrOauO8i3+d/eXgtY0wL7c4pqf06q7Cc1Wm5AAzp3Xkq8obCO2v2kjK8NwCpe/MZ+av/sTWjiAtTOk9J/GB4SiwiMhfYAbyD67Ka53f6cGAfcLGHR04A6o3JqOou3HhJU+U+j8bNPrtSRHaLSIWILBUR2z/GmFawJ7duF/LMwjI2pLu/Bcsqmx0K7TJ25xSzNaOIM6YMZEBCd/6+YCsAcdGRnDW1c2w5HCwvK+9TgDdwg/k3Ai/4n1fVJcB24FwPr98bN2DfUI7vXGMGAONx4zC/BL4BFAHviUhyI/FfLSLLRWR5RkaGhxCNMbtzSujbMxqAjIIydmS6RFNYZoU2any9z41DHTG8N9fMGgXAtCGJrJ03h54xXWvo18u7/Q2uJZGiquki8tsA13wJzPAYgwY4Jo0crxEB9AQuVNX3AETkc2An8BNfrPVfRPVR4FGAlJSUpp5tjGkgLaeYI0ck8WHqfjakF7A3z3WNFZZZi6VGdlEZAP3iY7jiuJF8c9og4rt3IyKi6xUj8dIVdhxuVlh6E9ekAQM9PDMH6BXgeCKBWzI1sn2fF9Qc8I3TrAAmeXh9Y0wzsgrLSMsuYfKgBMb078kHqemo70+zwtKK8AbXjmQWuokMfeJcy65Pz5jatSxdjZd33RPIbOaaHh6fuYEGYykiMhSIo8HYSwNfU7e+pt7tuEWaxpgQ+WyL+29//Nh+TBgQT1q2a60kJ8RYV5ifrMJy4qIj6d4tMtyhhJ2XJLAHmNzMNYcD2zw8811gjojE+x27GCgh8ELMGm/jksjJNQdEJBE4Aljt4fWNMU3IK67gt2+uZ1Bid6YMTmTcgLr/quOS4ymyrrBa2UVl9OkZE+4w2gUviaUmCRwf6KSInAEci/ulH6x/AmXA6yIyW0Suxs00u99/CrKIbBGRJ2q+V9XlwH+BJ0Tk+yJyFvAmUAE87OH1jTFAWnYxM//wETsy64pWVFZV8/LyXeQWV/D7cw8jMkIYllQ3vXhEnzgKrCusVlZROUm+brCuzkti+SNu3OMDEbkb31iGiJzl+/7fuOnG9wf7QFXNAU7FFbF8C7gDt/Cx4cSAKN81/r6Dm6V2P/AqLqmc4numMcaDl79MIz2/lAsf+YItBwqorKrmhWW7+MP/XI/0EcPcqnH/xJIY24380kpUbS4MuDGWmplzXZ2Xlfd7ROR04BVcCZUab+K6pbbiVtA3Nw7T8LmpuFIsTV0zIsCxQuBHvg9jTAsVl1fyxbYswE0lnn3/QmaN68e0IXUbUiX2cPXA/BNLfHf36+OOt1KZ983mesk7v4yCsnr/Zl2ZpykLqroSt37kHOBuXMHI+4ELgYmqujbkERpjWtW9729kxc76Df1PN2VQ5WuJ/OTkMbXH/QtOnjt9MACrdzc1gbNrKK2oIrOwjCG9Y8MdSrvgedWOr+rwm74PY0wHtzG9IODxvbml9O0ZzS/mjK89JiLcf9E0RvSNo39Cdy45cigfpu5vq1DbrZqSN1bixvGy8v7SIK97suXhGGPaiqryVVouaTnFDO5V95f2fRdOA+DLHdn06nHwmMF5M4YwY5grjDGsTw+yisq7/LTjtBxXicBaLI6XrrAnReTkpi4QkX/S+EZgxphWlpZdzNF/mM+KndnNXvv2mn2c8/Bi0rJLuGzmMOKi3fyYKb5xgt05JfTu0fReK8OT4gDYntG1t0CqabEMTbIWC3hLLFuB/4jIYYFOisgDwNVY6XpjwuaLrVnszy/jpy9+1eg12zOL2JhewGa/UvhzJg9g/s9n8fb1x5Oc0L32eKAWi79pQxOJiYrgpldXd+kS+tsyContFkk/W8cCeEssZ+AKPb4rIoP9T4jIn4AbcFWPLwldeMaY5lRXK6rKwk0Z3PzaGgD25JaQUVDGJxsPcNc7qfWmBJ/85wXM+ctCtmW4xHLW1IGM7teTgYmxHDY4kYTuUcT6Vo8nNZNYhvTuwWPfS2HLgUIeWehlbXTnkro3n4kD47tkXbBAgk4svnL2ZwLxuCrCCQAicidwM24nyPNVtWt3thrTxs79x+f84OkvueqZ5fWOv78+nRteXMVji7bz1pp9ALywdFft+a/35TN7YjIPX1q/bqyI0Me3HiMpiHUZJ47rxxHDe7Noc+evGl5ZVc23Hl7Mk59trz2mqqTuy2fiwIQwRta+eJ1uvBq4ABgHvCkit+NK1y8CvqWqXbctbEwYlJRXsTotl082ZlBe6crkRQhMGpjAXz9yW+QCLNmWRVW18uv/1K0I2JpRxKh+cQGfe6DAVeoNdl3G8WP6sn5vfqfvDvt0Uwar03K58+3U2ve6fGcOBaWVTLU1LLVaMt14vohcidu98QRgCXCmqpY0facxJtS2+MZJJg5MYNqQRM6YMpBBid1J3ZfPDS/VjbPsyy0hPb/0oPsHJXY/6BhQm6SOHBHcPu3ThvZC1e1JMnVIIh+kpnPO4YMR6VxdQ/5Tq1P35nPsmL7c/8Em+vaM4RvTutZmXk1pNLGIyIlN3LcLV6vrBOBPwBH+P0CqujBUARpjGrdpv1uD8tC3pzOmf92e6iP7xnHDS18xuFcsEwcmsDunmJ1ZbubWvRdM5aZX3VjM4EbWXTzx/RSWbMsKuqjiBF9xyrV7cnnis23M//oAo/r2ZNrQQLtidFwb9xcwqm8c2zKL2JpRSPfoSL7YlsXtZ0+iR3TX2syrKU39Syyg6c22wJVyCTQLzOpGG9MGvt6XT3RUBCP61E8QUZERfHnrbLpFCvd/uIml27PYmeXWWswc1af2ukG9ArdYTp2YzKkTA27GGlC/+BiS4qJra4uBm0DQGRLLuj157M4pYc7kZDbvL+S8GYM5UFDG1oyi2sH6uYcNCHOU7UtTieVOmk8sxpgw+iotlymDE4mKPHi4tF+8a2307RlDQWklv3p9LdGREQz06/4a0is06y5EhKlDElmwsW4Af3tm51jbcvZDnwGw+JZTKCyrZGxyPKP7xbE1o5C4mEgiI6TeFG3TRGJR1XltGIcxxqOyyirW7snjuzOHN3ndFL9B5Tu+NZmoyAje+snxvLd+Hwmxoeu+OWpkUr3EsqMTJJaasSaAr3a5mmgTB8Qzul9PvtiWRd+eMQxI6E6kTTOuJ+ifKt8MsO2q+mwrxmOMCdJTi3dQVlnNyRP6N3ndyeP78/Wdc4mNruuhnjIksV7CCYWLU4ayYGMGfzxvCr96bW1t11tH9u8VabVfX/fCSgAmDUpgdP+evL5qD5v2F9Qrh2McL9ONbwOmtFYgxhhv3l2XTsrw3hw3pm+z1/onldbSp2cMr1xzDKP79WRAYnf2Fxw8C60jKa2o4p73Nh50vEd0FKN907TX781vdJyqK/O6NbGtADKmHVBVth4oZPKg9vlfMjkhhv35pR16E7APU/eTV1LBbWdNrD129/nub+sx/eu2aJ46pONPUAg1L4nlP8BsEbF2nzFhlp5fSmFZZb0pxu1JckJ3SiuqaxdoBmtHZlHYx2ZWp+XyVVouv359LYN7xdbuOwNw8ZHDABjdL44BvgF7W79yMC8jd7/FrVt5Q0R+rqrrWikmY0wzfvPGegBGt+PEArA/v7Te5mDNOenPCwDY8aezWiOsJn2Vlsszn+/g9VV7ao9decJIkuKiOX/GEC44YkjtcRHhreuPZ2tGYe3sO1PHS2JZDUQDM4DVIlIKHODgKcmqqqNDFJ8xpoGC0go+2rCf0f3iavdFaW/8E8u45Phmrj7Y7pziNt8065yHF9f7fkz/nvz4pDGICPddNO2g6/vFx1hSaYSXrrAIoAK36n4XLqmAWyTp/+Gp/pgxxpt1e/JRhdvOnkT3bu1zLXLNWpm07JZVelq6rfn9ZFpLTQvr7KkDiY6yX2ctEXSLRVVHtGIcxpggrN2dx6MLtwIwrR0PGg/uFUt8TBTr9+YFfU9VdV3nR6C6Zg29tGwXG9IL+L/ZY5vdN6Y5ecUVANw0ZzyJsd247Y11jOrXPrsZOwIrbmNMB5C6N5/nl+7kxWW7iI6K4KrjXd9/exURIUwenMCKnTn87OWvOFBQxnNXHd3kPfklFbVf78trvqVz7/sbySoqZ8uBQp6+4siA1QeCdfNrqwEYnxzPKRP6M6R3LLPG9Wvx87o6SyzGtGO7sorJLi7noke+qF0FvviXpwRdHDKcjhqRxIMfb2FDuiuUWVZZRUxU4113OX4l99Pzypp8dl5JBVlF5YzqF8dnWzJ5+JOt3DB7bIviXLkrh/fXu6rF04b2IiJCOGl804tOTdM8JxYRiQGOBAYDAX+6VfWZQ4zLmC6vtKKKE+/95KDjHSGpAPz45DG8sCyNzEKXJNbtyeeI4W6yQXW18t76dE6flFzb0rj8qS8BEHGD/k3Z7KvqfNtZE3lj1V4e/mQL35k5zPO/TV5JBdc9v5K+PWP49KaTiIuxv7VDwdO/ooj8ALgHaGwqiuBmiVliMeYQ1fyl7y+2nQ7WB9K9WyQXpgzhHwvcmNDji7axNaM/MVERxEVH8ePnV/KTk8dww+yxVFYpu7JdCZjoF65qAAAgAElEQVTxyfHNjrGk7st31w5I4JIjI3lz9V42phdw7JjgE0tpRRXXv7iKfXmlvHrtMZZUQijoTkkRmQs8DuwDfoFLIv8FbgU+9H3/b+AHoQ/TmK4ndW9+ve97xkTx0tUzwxRNy/zstHE8eXkKSXHRvLsunZtfXcMNL33FXt8Yyt8+2cLYW99la0Zh7T3HjO5DZmEZFVXV9Z51IL+UV1fsBuDLHTkMSOjOoMTujPSVV9nmcWHlC0t3sXBTBocNTiAlyA3NTHC8jHb9HMgCjlXVB3zHvlLVP6nqXOCHwHnA1hDHaEyXtGZ3LvHdo/jRSW5Z2N3nT+1w+5t0i4zglAnJVDZIEst35NT7/qs0Vzn4uSuPZlxyPKqQUVB/nOWMvy7iF/9ezf78UpZtz+KokUmICMnxrrrwHW+t97Q18vvr0+kZE8WzP2h6UoHxzktimQG8par+7fPa+1X1CWAxrgVjjDkEFVXVfJi6nxPH9ePmOeN56eqZzJkc/MZb7c2EgfVrmr25ei+TBiZwnq9cykZft9+AxJjaUin78uq6w2oG6wE+3ZjB/vwyjhrpWhkREUJVtVJRpby5em9Q8VRVKyt25nDp0cPo3Y5n13VUXhJLHK4brEYpBxelXA5Y+jfmEK1OyyWrqJxvTB2IiDBzVJ9Dmk4bbg9fOuOgXS6nDknkiuNGArAh3XX7JSd0r7dqv0a6X5K55XW3rfLRI+u6rx7/XgoAu3OCW5CZWVhGZbUyNKltV/d3FV5+UtMB/4nd+4DxDa5JxLYlNuaQ1YwXTBzYPqsXe9UvPoZTJrgW14xhvfjVGRO47exJ9OrhVrlvSC8gLjqS+O7dGOBbtV+TTMorq3lkYV0Pe7VCUlx0vQKcsyclM6Z/T3ZmBTfOUvPsgbbzY6vwkljWUz+RLAJOFZETAETkMOAi33XGmEOQll1MZIQwqBNtInX82D4A/OrMiVwzazQ9Y6JI9CWWgtLK2tZD7x7diI6KqG2x3P/hJl5fuafes16+eiYi9XdtHJ7UI+jNxWq62QYkWmJpDV7m170L/EVEBqnqXty04wuBBSKSDSThZob9PvRhGtO17MwqZlCv7nTrwN1fDZ0yIZlVvzmt3phGfEwUkb4xkmG+xCIiDErszp5c16317rq6Hvhlt55KQvduAWukjewbx6ItmWzeX8DYZgpfpvtmpVliaR1efmofwS2KzARQ1VTgVFzCyQQ+AM5Q1f+FOkhjupqd2cW1v2g7k4YD5SJSW/RxRN+42uODesWyN7cEVa03iN8/vnujhTcvP24EPaIjeWD+pmbjSM8vIzoygqRDrDFmAgs6sahqharuV9Vyv2NLVPVsVZ2oqmeo6vutE6YxXUfN7pAj/X7RdmY1U5GH+w3uD+4Vy57cErKLymtL2YxLbroo5JDePThzykD+tzadVbty+GxzJpc/tay25eMvo6CMvj2jiYiQAE8yh8qWmhrTzuzOKaGwrLLTDNw35/LjRvLR1/s5ZlSf2mODe8dyoKCMnb7V+P/8zhHMPWxAs886f8YQXl2+m3P//nntsd+9lco/v3tEveuyi8pI6mmtldYS9g5cEZkkIh+JSLGI7BWRO0Uk6JllIhIhIitEREXk7NaM1Zi2UFPKpasklp+dNo53fnpCvTL1g3rFogorfAspB/UKbizkiOG9+fTmkzhvRt12wh9vPEBxef0tkrOLykmK6xg11zqiJlssIrKtBc8MegdJEekNzAdSgW8Bo4H7cAnvtiBf7yrc2I8xncImX4HFluy82FlM91UYeHHZLsDbIPvAxFjuv+hw7rtwGp9vzeKyx5eyeEsWp02qW2DqKiPbfiutpbmusBG4opKt1RF5LRALnKeq+cCHIpIAzBORe3zHGuVLTHcBt+DqmBnT4e3ILKJ/fAw9u3BRxLHJ8Rw2OIF1e/JJjO1G3xa0LkSEI0ck0S1SWLkrp15icS0W6wprLcF0hVUCrwNnAN2C/AjWGcD7DRLIS7hkMyuI+3+HKyPzkYfXNKbdKa+sJj2vlLW78/j3it2M6NM1Bu6b8qNZYwA4bVJyiwfZo6MiGNk3jk1+laJLK6ooLq+yxNKKmvuT6CTgalxxyXOB7biWwVOquj8Erz8B+Nj/gKruEpFi37m3GrtRRKYCVwDTQhCHMWF11zup/OuLnbXf97GBZc6cMoC/XnL4IW+6NS45ntW7c2u/X7vHbZfcxxJLq2myxaKqC1X1O8Ag4EagBPgDkCYir4vIGdJw+as3vYHcAMdzaHzPlxoPAQ+r6pZgXkhErhaR5SKyPCMjw2OYxrSuZ5fsrPf9oe7h3hmICN86fHDtOpeWGp8cT1p2SW3l41v/sxaov27GhFZQs8JUNVdVH1TVKcCxwLPAacDbwA4Rud033tESGuCYNHLcnRS5BFdeJuhV/qr6qKqmqGpKv362l7VpPw7kl1Lt99M+sm8ct8ydEL6AOpmTJ7gWz+OLtrNiZzY7Mos5b8ZgZvpNbzah5Xm6sW9R5JW4VsyPcUngt8AJLXj9HCDQBhOJBG7JICLdgHuBu4EIEelFXZXlOBHpulNpTId0oMG+I5cdPay2hpY5dJMHJTBhQDx/+2QL5//jC8qrqjlhbN9wh9WptWgdi4jEAhcA3wOG+A4HV/2tvg24sRT/Zw/Flejf0Mg9cb7XvB+XmHKA1b5zLwGrWhCHMWGT4dsTfpRvJ8SYqLAvL+tURIS/XjKd0f3qur7GJ3eNNULh4nXP+xm4nSK/jWslpAN/Ah5X1ZaseXkXuElE4v02ELsYN5bzaSP3FAInNzg2AHgR+DUNJgMY095lFbq+/5+eMpb/e/krjh1jf02H2vgB8Xz085NYtSuHBRszGD/AOjZaU7OJxbeu5DJcQpmGG/v4AHgMeFNVqw7h9f8J/BR4XUTuBkYB84D7/acgi8gW4FNVvVJVK4EFDWIc4ftyraouPYR4jGlTH6buZ8XObMDtKbLjT2eFOaLObfqw3kwf1tLhYBOs5lbeP4UrjR8L7MGtG3lCVdNC8eKqmiMipwJ/w00tzgUewCWXhnHaBmKmU8kqLOOHzywHXPdXXLT9iJvOobkWy/eBCuAN4D2gCjituRnGqvpksAH4yu+f0sw1I5o5v4PWqw5gTKt4e03dPiMRIgdtXGVMRxXMGEs34BzfR3NqpgkHnViM6YpWp+XywPxNxERFUFZZTcoI654xnUdzieWONonCmC7m1/9ZS3llNW/+5HgG9epOhLVWTCfSZGJRVUssxoRYSXkVG9IL+NGs0TY7yXRKNmHemDa2fm8eVdXKtKGB1gYb0/G1OLGIyCwRuT2UwRjTFXy9z82kP2ywLdIzndOhtFhOwpVyMcZ4sOVAIT1johiQEPzmVcZ0JNYVZkwb25pRxOh+cTa92HRalliMaWNbMwoZbdvimk7MEosxbaiwrJJ9eaWM7m+JxXReh5JYdgALQxSHMV3C26v3AliLxXRqLU4sqvovVW1YZdgY04h1e/K45XW3e+GY/rZ7oem8PJXN9+erepwI5PlXIjbGBJaWXbdl0bAkSyym8/LUYhGRSBG5xVfGPgfXHZYjIlt8x1ucqIzp7PbklgBw+bEjiLbNvEwnFnQiEJFoXIXjWbhCk2nAPmAgMAK4C5grIqerannoQzWmY9udU0KP6Eh++41J4Q7FmFbl5c+mn+EWRb4DTFTVEap6jK+k/Xjcfion+K4zxvj571d7ePrzHRSXV9n6FdPpeUkslwLrgHNUdbP/CVXdCpwHrMftNmmM8SmtqGLem+sBmDokMczRGNP6vIyJjAEeUtXqQCdVtVpE3gWuD0lkxnQSf/9kCznFFdxzwVROHt8/3OEY0+q8JJZyoLnJ93G4HSeNMUB5ZTXPL93FaZOSuShlaLjDMaZNeOkKWwNcICL9Ap0Ukb7ABcDqUARmTGfwv7X7yCoq59KjhoU7FGPajJfE8jegH7BMRK4UkVEiEisiI0XkCmCp7/zfWiNQYzqipz7fwdj+PZk1LuDfY8Z0SkF3hanqKyJyOHAL8GiASwS4R1VfCVVwxnRkxeWVrNuTx3UnjSYiwmaCma7D04JGVf21iLwJXAlMx7fyHlgFPKmqX4Q+RGM6pvV786mqVqYOsZ0iTdfieaW8qi4BlrRCLMZ0Kos2ZQAwdahNMTZdS9BjLCJyu4ic2Mw1J9h2xcZAbnE5Ty3ewemTkukfbztFmq7Fy+D9PNzK+6aciG1XbAyPL9pOYXklPz99fLhDMabNhboSXhQQcAGlMV3J/K/3c+zoPowfEB/uUIxpc6FOLEcAmSF+pjEdSn5pBRv3F3DUiD7hDsWYsGhy8F5EPm5w6HIROSnApZHAUGA48GJoQjOmY1q8ORNVOHJE73CHYkxYNDcr7CS/rxVXHn9EgOuqgSzgZeDGEMRlTIf19Oc7GNwrlqNGJoU7FGPCosnEoqq1XWUiUg3MU9U7Wz0qYzqoiqpqVu7K4QfHjSQq0jbzMl2Tl5/8K4A3WisQY9qryqpqDuSXBnXtjswiKqrUBu1NlxZ0YlHVf6nqmprvRSRBRKyynun0Xli2ixPu+YR9eSWNXnPXO6k8+NFmNqQXADAu2RKL6boOZY/6G4HbcQP3xnRaK3bmUFZZzYvL0vjZaeMOOl9YVslji7YDMCChOxECY/o3t8OEMZ2XdQIb04yv9+UD8MwXOygoraC6Wuud37S/oPbr9PxSJg1KoHs3+3vLdF2WWIxpQlllFVszipg6JJHc4gqmzPuAsbe9S15xBcXllazdnceGfS6xXHfyaAB6xUaHM2Rjwu5QusKM6fQO5JdRVa18d+ZwFLj51TVUVSsrdmXzs1dWk1tcwQlj+9IzJoofnTSGNbvz+IWVcTFd3KG0WMT3cUhEZJKIfCQixSKyV0TuFJEm+xFE5EgReUpEtvju2ygivxURq/ZnQmq/bzZYckJ3LkoZymPfSwHgf2vTyS12u3Av2pzJ9GG96BkTxbNXHs20oVYm33Rth5JYHgBGHsqLi0hvYD5u8eW3gDuBnwN3NHPrxcBo4G7gTOBh4GfA84cSj+naqquVorJKKquque+DjaRlF7M/vwxwiQXgtEnJHD60F6+u2F3v3hnDbJW9MTVa3BWmqnm4Tb4OxbVALHCequYDH4pIAjBPRO7xHQvkblXN8Pt+gYiUAo+IyHBV3XmIcZkOrLCskrjoSEQOblBXVyvlVYHrpN7+33W8vWYf91wwlYc+3sKy7dnMmTwAgP7xMbXX/en8Kcz9y6J6984ab1sPG1Mj3GMsZwDvN0ggL+FaIrOAtwLd1CCp1Fjl+9wfsMTSRaXnlTLzjx9x3Jg+PHfl0ZRUVFGtcO97G8gtqWDR5kyyi8qbfMZPXnA/Sku3Z7N0ezYAvXp0qz0/YUACVx4/kpW7ciitqCYtu5jp1v1lTK1GE4uvhIs2dr4JqqrBJqwJQL1Cl6q6S0SKfecCJpZGHIurWbbRwz2mk9mQ7v5GWbwlize+2sONL69mcK9Y9uTWLW789lHDGJoUe9C9sd0ieWv1XjamFzBzVB8+2nCg9lzD1s9vzp4EQEl5VcDzxnRlTSWAhRycWHoDU3G/wNOAdGAArrJxBLAGyPHw+r2B3ADHc3zngiIiA4BbgWcb6z4TkauBqwGGDbOCAZ1VWnZx7dc3vrwagD25JVyUMoTvzhzBB6np/N/scURGBE4EVxw3ElVlze682sTy8KUzGn292Ghbr2JMQ40mFlU9yf97ERkIfA68Dtykqtv9zo0E/gxMB+Z6jCFQq0gaOX7whSLRwCtAIU1UVlbVR4FHAVJSUlrSEjMdwM6sYmKiInjw29O55tkVAMR3j+Lnp48nOaE7U4Y0v/+8iDDab+X8WVMHtlq8xnRGXsZY7gZyVPWChidUdbuIXACs9F33/SCfmQME6pxOJHBLph5x/Q/PAJOB41TVS2vJdEI7s4sZltSDOZMH8NZPjqessoqJAxOIi/E2nNjTd/2scTYob4xXXv63zQGebOykqqqIvI+rghysDbixlFoiMhSI851rzgO4acqnqWow15tOrKS8iiXbspg9MRkgqNZJU76+cy5RkTZ2YoxXXhJLPK4l0ZRE33XBehe4SUTiVbWm4NLFQAnwaVM3isivgOuBi1T1Mw+vaTqZX72+BlXILCyjoLSSS44cGpLn2viJMS3jJbF8DVwsIn9U1bSGJ0VkOC4ppHp45j+BnwKvi8jdwChgHnC//yC8iGwBPlXVK33fXwr8AXga2CMiM/2eubWR6cimk3pxWd2P49UnjuLoUbbXvDHh5CWx3Au8AKwSkQdxs8b2A8m4NSfX41os9wb7QFXNEZFTgb/hphbn4rq35gWI0//Px9N9ny/3ffi7ApdwTBdQWlFV7/vrTh4TpkiMMTWCTiyq+pJvZtgfgd82OC1ABfALVX3ZSwCqmgqc0sw1Ixp8fzkHJxTTBe3OcetTbp47nmNG9SExtlszdxhjWpunqTKq+oCIvA58Bze1OBFX1mUl8LyVUjFtbWtGIQBHjUhiutXrMqZd8FzSxZc87mqFWIzxZNn2bK59zq1VGdanR5ijMcbUCHetMGM8q6pWthwo5OpnlzOyTxy/O+cw+sfbjgnGtBeeyuaLSISIXC8iS0QkT0Qq/c5NF5G/i8jBm4IbE0IvLN3JnL8sJLe4gke/l8JxY/qGOyRjjJ+gE4uvdMqHwF9we6EUUH+jr+3AD4DLQhmgMQ0t3pIFwAVHDGGMX+kVY0z74KXFchNwMm4TrmTgcf+TqpqLm4I8J2TRGdPAJxsO8N76dFKG9+ae86eGOxxjTABeEstlwGJVvVNVGyupvx2w0sEmaNXVynvr0qmqbr4uaGlFFVc8/SXgCktGNFKh2BgTXl4Sy0hgSTPXZANJLQ/HdDVvr93Htc+t4KnF25u9dvGWzNqvT5s0oDXDMsYcAi+zwkoIXInY3zCCqEpsTI3sQren/O/f+ZqxyfEBqwkfKChl9n2fkl/q5op89suTGdzr4I26jDHtg5fE8hVwuohEq+pBe7uKSCJufOXzUAVnOr8DBWW1X3//yWVs+N1cundz1Xs27S/glS/TKCyrrE0qAIN7xdqOjca0Y166wh7D7RT5vIgk+J8QkV64+ly9cYUljQlKTUmWGrv8doB8fNE2Hv9sOy99Wb/mqSUVY9q3oBOLqr4IPAWcD2QAPwIQkeXAPty+KH9X1f+1QpymE9qXV8Kbq/dy3Jg+vHrtMQDszS1hX14Jv3s7lTW78xCBUX3jeO1Hx4Y5WmNMsLzWCrtSRBYBNwBTcetYZgDrcaXunwp9iKazen3lHgBOm5jMQN+Yyd7cUl5ctov31+8H4KrjR3Lb2ZMAuOHUsUwelBD4YcaYdqMltcKeBp4WkVhc11eeqhaFOjDT+WUVlhMXHcnlx42ksqqaCHGtmMKyuvGUSX6J5MbTrKiDMR2Bl5X39WaEqWqJqu5tmFRE5IhQBWc6tvfWpTNl3vuk+Y2b+MsuKiOpZzQAUZERJCd0Z09uCRVVdWtajhxhs9eN6Wi8DN6/5Svr0igRmQq8f2ghmY5sd04xf52/mapq5Vevr6GgtJJHF24LeG12cQVJPep+pEb0iWPT/gJ2+yWioUlWtdiYjsZLYjkWeL6xkyIyCZgP2E5LXdi8N1N5YP4mXli6k5ziCgBeWLaLr/flH3RtdlEZSXF1ieXIEb1J3ZvP3rxSxvbvyYPfnt5mcRtjQsdLYrkFOF9E/tLwhIiMxSWVOOAbIYrNdACqSlml2x74QH4pX6XlAPCb/64H4P3/O5GqauWMvy7ileX1pw1nF5aTFBdT+33KiCRqKrvcMHss35w2qA3egTEm1LxsTXyviAwFrheR3ar6ZwARGQl8jBvI/6aqLmydUE2oVFUrt72xjpPG92PO5JaXRskrqeD0Bz5leJ84XrnmGH74zHIyC+vWzp42KZnxA+KZPqwXq3blcvOra2q7ueK7d2NvXilJcXUN3BnDexMhUK0wsm9cy9+gMSasvM4KuwEYDPxJRHYDn+GSSn/gPFX9MMTxmUNQWVVNlSoxUZG1x/JLKzjjL4vYk1vCi8t28dLVMxnTvyd9e7qWQ2FZJdGREURHNd6YrayqJjJCeGrxdvbnl7E/v4y07GJW784D4LqTRzO8TxxnHOaS1oOXTOechxeTVVTOgx9vQQTU1zLxb7H0jIli8qBE1u7JY0QfSyzGdFRe17GoiFwKfIRbLJkODAEuUdV3WiE+0wKqiojw05dW8cmGDFLvnFO7Wn3Ztmz25JYQExWBKlzy6BJ6xkTxyjXHMCQplpl/+IixyfHcfvZElm3PoaC0gqtOGMWu7GKmDUlERPjla2t5beVuukXWrYA/4Z5PALjmxFHcOHscUZF1iWloUg/uOvcwrn1uJc9eeRQnjO3Hxxv2s2hzJudMr9/ddeaUgXSLFOJibHNTYzoqUW2+XPlBN4n0BhYDY4Hvq+oLoQ6sNaWkpOjy5cvDHUarKCyrZPqdH/Cbsydxu2+cY/7PTmRM/3gA/vz+Rv7x6VbWzZtDQVkFH6bu59b/rAPgpPH9WLAx46BnJnSPIr+0kiuOG8Ev505gwm/eA2DWuH7cNGc8Zz/0GQAxURG8cd1xTBx48CJGVeVAQRnJCbaFsDEdlYisUNWUZq9rLLGIyMfN3JsMDABWNziuqnpqUFGGSWdOLAs2HuDyp76sd+yGU8cyql8cg3rFcuE/v+CwwQm8ff0JgPuFf+r9n7Itwy1HmjAgntMnJZO6r4D5X+9v9HXuvWAqF6YMBWDR5gymDe1FfEyU1fEyphMLNrE01d9wUpCv1fA6700gExKqynNLdgGQFBfNnMnJbEwv4K8fba533e/PmVL7tYjw4Y2zuPa5FXyYup9zpg/m2lmjASgpr+L6F1cy/+sD3HfhNDIKy3h80XZUlePH1u0zf8LYg0vdG2O6rhZ1hXV0nbHF8sH6dK5+dgXgZmM99j33R8WSbVnc/t91qMLmA4X0iI4k9c65B92fX1rBxvQCpg5JrDfYn1FQRlpOMTOG9W6bN2KMabdC0WIxHYh/q+SR79RV1Zk5qg8f3DiLqmrl+hdXcs7hgwPen9C9W8DyKf3iY+gXHxPgDmOMCSzoxCIiVcDLqnppK8ZjWqimcONzVx4dcC/4yAjh75dZGTdjTOvzsvK+ANjZWoGYlsspKmdnVjE3zx1fb+zDGGPCwUtiWQVMaq1Aurol27LYnlnEip05tSVSGlJV1u3Jo7yyut7xRVsyAdftZYwx4eZljOVuXIXj02yFfWhVVFVzyaNLar8/a8pAHr5sxkHXPfjRFh6Yv4mx/Xvy6rXHUq3Kip05/PF/X9O7RzemDel10D3GGNPWvCSW/sB7wLsi8gbwJW7l/UHTylT1mdCE1zVsz6y/T9o7a/dx8aYMThxXN403Pa+Uv32ymQEJ3dmWWcS0Oz+od8+fL5xGZICxFWOMaWteEsvTuCQiwHm+D6ifWMT3vSUWD75KywXgRyeNJipCeOjjLXzvyWX8+9pjeGlZGhMHxqMKFVXKK9ccw79XpPHQx1tq77/s6GFccMSQcIVvjDH1eEksV7RaFF3Y3twSbn51DRECN84eR3RUBNWqPPzJVu565+vapHPW1IEM6R3LsD49+L/Z4ygqq+LJxds5bVIyd3xzcpjfhTHG1PFSNv9frRlIV/XZZjfwfttZk2orCt80ZwLLd+SwdHt27XVfbM1i5ii3ziQyQrhpzngKSiv46alj6xV8NMaYcLMFkiG0clcOTy3egZdqBql78+nbM5orjhtR7/hd5x7Gp5sySegexU2vriG7qLze6vfY6EjuvXBaqEI3xpiQCXti8W1p/BBwDJALPA7coaqB59zW3ZcI/AU4Bzdt+m3gp6qa1boRN+6xhdv4eMMBBveODf4mge8fM+Kg4o1j+sczpn88FVXV3PTqGgDOnmo7Khpj2j9PiUVE4oAfA3NwG34FqvWhqjo6yOf1xm1pnAp8CxgN3IdLFLc1c/vLwHjgKqAaNx36DeCEYF47lKqqla/Sclm6PZtvTBvEn0PYkugWGcHj30thW2YhAxKt5Lwxpv3zUtKlF27HyElAPpAA5AHRQM2f6HuBCg+vf63v3vNUNR/4UEQSgHkico/vWKBYjsElt1k1WyGLyB5gqYjMVtX5HmI4ZK+v3F3bqjihFVa+z56UjNulwBhj2j8vo7634ZLKlbj97QEeAHoCxwIrga3ARA/PPAN4v0ECeQmXbGY1c9/+mqQCoKrLgO2+c21q0eZM+vaM4bUfHWPdVcaYLs9LV9g3gYWq+hRQOyagbqR6iYicCawFbgV+E+QzJwD1NhRT1V0iUuw791YT920IcPxr37lW8cqXaTy2aNtBx3dmFzN38gCOGH5wdWBjjOlqvCSWobgB8hrV+I2xqOoBEXkXuITgE0tv3IB9QznUtYq83jcq0A0icjVwNcCwYcOCDK++Xj26MTa550HHxw2I5wfHj2zRM40xprPxkliKAf+ZWnm4rYn97ccN6nsRaG6uNHK8xfep6qPAo+A2+vISYI3TJw/g9MkN37Ixxhh/XsZY0nCtlhqpwIkiEul37Hhc/bBg5QCBKicmErhF0tx9vZq5zxhjTCvzklg+BWZJ3YKLl3HTg98RketE5N/ATOB/Hp65gQZjIiIyFIgj8BhKo/f5NDb2Yowxpo14SSz/wq0Tqal2+E/f96fjFjieD3xO8+tP/L0LzBGReL9jFwMluETW1H0DROT4mgMikoIbX3nXw+sbY4wJMfFSfiTgA0SOAMYAO4AvVbW66Tvq3dsb16W2DrfAcRRwP/AXVb3N77otwKeqeqXfsfeAccAvqFsgeUBVm10gmZKSosuXLw82TGOMMYCIrFDVlOauO+SSLqq6AljRwntzRORU4G+4qcW5uLUx8xpcGgVENjh2ie/aJ/Er6dKSOIwxxoRO2GuFqWoqcEoz14wIcCwXV8rfyvkbY0w70mRiEYHJB94AAAu/SURBVJHvteShtoOkMcZ0Xc21WJ6m+fUk/mwHSWOM6eKC6QqrxI1fpLZyLG1mxYoVmSKys4W39wUyQxlPGNl7aX86y/sAey/t1aG8l+HBXNTkrDAR+QQ40fft58BjwCuqWtrCoDo8EVkezKyIjsDeS/vTWd4H2Htpr9rivTS5jkVVT8btefJn3JTip4B9IvKQiExtzcCMMcZ0TM0ukFTVLar6S1w5l4uApcCPgFUiskxErvRtAGaMMcYEv/JeVStV9TVVnYsr5fIHYCCusONe3+ZbXcGj4Q4ghOy9tD+d5X2AvZf2qtXfyyGtvBeRM4BHcBWNz1XVN0MVmDHGmI7J8wJJERkE/MD3MRwoBZ7D7SBpjDGmiwuqxSIiEcDZwFXAXFxCWoubJfasqua1ZpDGGGM6jibHWERkpIj8HrcXyxvAybgqxzNVdZqq/q2rJBURmSQiH4lIsYjsFZE7G+xF0+6IyBgReUREVotIlYgsCHCNiMivRSRNREpEZKGIHB6GcBslIv/f3rnH2FFXcfzzLdDCUmh5ExFcsBREJAoqBUMb3qmmQQJEICAVeYkUHxG1sWB4FEFDCIpBwJBSsEEoKgQFrCIvQcTyUHFpeZXyWKGU1UKl0JbjH+c3MJ2de+9ue2/vne35JL/Mvb/fmZlz9rd3zvye5yhJt0p6SdKbkuZKOqZE7mRJT0lalmQObIe+9ZB0pKQHJC1Oes6TNE3S8JxMx9dJEUnbpboxSSNz+ZWwRdLkpHsxnZaTqYot60v6bvotvC3pRUmXFmRaa4uZ1Ux4xMiV+Eywk4CN68kP1YSHQn4Z+ANwMHAasBS4oN26NdD7MPyl4CagB7i7RGYqHqbgDOAgPJ7Oa8C27dY/p+ODwCx8VuIB+PR3A6bkZI5O/6tn4y9AM5Ndu7db/4ItpwLTgcOTnt9Jel5epTopsWsWHuTPgJFVswWYnHTfH48rlaWtK2jLdel5dSowATgOuLAg01JbGin4LvA2sHAQ6fl2/2FbUFFT8aiVm+byvo2Ha960XXoNQO9huc+zi44F2BAPMX1OLm9jYFEnOU1gy5K8WcBzue/zgGvytuPdtde3W/8B2Dcd39lbVamTgv77Aa/jISzecyxVsiXnWEbWKK+ELfhQxXJgtzoyLbdlINONN8CDew00bV9+mUozEbjTzJbk8m4ANsLfCDoSaxwbZ19gU+DG3DlL8RAGE1uo2qAws7LtJx4FtgaQtBMemydvx7t4S61j7KjDYiDrCqtEnWSk7uCfAOfRf5uQStnSgKrYciJwl/mu8bVouS2NVt4PW53UDMU6jH4hj81sId5iKQuRXBV2xbuPnirk99D5du3L+/vXZboWw1L3AJtL2mqtaTVAJK0nqStFQT0TuML81bFqdXIa/gb805KyqtkC8IykFWns69RcflVs2RuYL+lySUvSmPCv0mzejJbb0vZ4LBVhM7yrokhfKqsqmwFvmtnKQn4f0CVpuJm90wa96pIG5Q/D387g/Too1lFfrnzRWlBtMCwFRqTPM4Gz0ufK1ImkLYDzgePMbLmkokhlbAF68fG5v+JBBY8Bfiapy8wupTq2bIt36z2OjztuAvwQ+LWkcenlpeW2hGMZOGXzslUjv0rUsqtWWVuR1I2Pr9xiZjMKxUV9O9YOvMXVBXwaOAePonp6KqtKnUwHHjKz39WRqYQtZnYncGcu63ZJI4Bpki7LxEpO7TRblNJhZrYYQFIvcA8+8eWPSa6ltoRjGRh9wOiS/FGUt2SqQh+wiaT1Cm8vo4H/mdnyNulViqTNgdvxSSLH5YqylslofFCS3HfowDoys2xB8f2SXgOulXQJFakTSR/FW4zjJWV/5650HCVpJRWxpQ6z8ZmI3VTHlj7g2cypJO4H3gF2wx1Ly20ZiuMhreBJCn2PkrbHZ1IU+/WrxJN4s39MIb/fmFK7kdSFxwUaDnwuDTZmZLoW+4d3BV43s07rBiuSOZkdqU6d7IxP7HkQf1D18f44y4v4gH5VbGmEUR1bemrkC5/lC2vBlnAsA+N24FBJm+TyvoDPA7+nPSo1hQeAJcBRWUZ6gE/Cbe4IJK2Pz/DaGZhoZq/my83sWWA+q9oxLH3vGDvq8Jl0fI6K1An+Frx/IV2cyj4L/Ijq2FKLI/CZbs9THVtuA/aQtGUubzz+EvB4+t56W9o977oKCR/s6gXm4IuJTgHepIPmr9fQuws4MqUHgSdy37uSzFR8dttXgQOB3+I/pm3arX/Ojqvwt8YzWXXx2jhgRJI5Bp/pMg1/yM2gMxdI3oGv95gIHAKcm/6XbsjJdHyd1LBtMuULJDveFuBmfLHqRHz7quvovwi3423BpxEvTL/3ScCx+CLpOQW5ltrS9j9EVRLeP3lXelj14rNh1mu3Xg107k4/jrLUnWQEfA/vvngLuA/4RLt1L9ixoJEdSe5k4Gl8Ue8jwIHt1r3ElvOBfyZn8p+k5xRgg5xMx9dJDdvKHEslbMHDgMxLD9u3gLnA8QWZqtgyBl9JvxTvopwBbLY2bVmjbfODIAiCoEiMsQRBEARNJRxLEARB0FTCsQRBEARNJRxLEARB0FTCsQRBEARNJRxLEARB0FTCsQRBEARNJRxLEARB0FTCsQTBAJHULckkzWi3LoNB0kxJr0raeBDn7JVs/XIrdQuGJuFYgnWS9NAcTJrcbp1XB0mfxEMMXGSr7gidlX8z2XdsPt/M5gK/AS6QNHLtaBsMFSIeS7Cucm5J3tfxGDuX0T+Gy2PAS8BHWDXmS6dzIb6T7RU1yvdMx7klZT8AHsI3/7yw+aoFQ5XYKywIEpIWAB8CdjSzBe3VZs2RNBaPr/FzMzulhkwP8EFglJm9W6O8C9jJ+oeyDYJSoissCAZI2RhLPk/ShyXNlrRY0huSfi9p9yS3laSrJPVKWibpYUn717nX3ula/5b0jqQXJF0p6QODUPlEfBfbX5Zc/2JJhgd3GgmszHX75aNz3gDsgIeLCIIBEV1hQdAcuvFuox58m/Ju4HDgbkn74HFYluAP+c2Bo/G46mPNbGH+QpK+BFyNb/9/Kx5PY2fgJGCSpHHFc2pwEB6j5i8lZXOBa4ET8MBPc3Jl+eB1f07Hg1k1JnwQ1CQcSxA0hwnANDObnmVIOhs4D3c4NwKnZ91NkuYAM4FvpJSdMxa4Eo9BM8HMXsqVHYA7gMtwp1WTNAPs40BP2aC9md2YYtWfAMwws6trXOrhdBxf735BkCe6woKgOSwALirkXZuOI4CzCmMYs4AV+MM/z1fwMLJfyzsVADO7C2/BTCqEyS5jOzyueW8dmWzg/tFaAmb2X2AZ3h0WBAMiWixB0BweKxncfjkd55vZG/kCM1sp6RV84DzPPuk4QdKnSu6zNe4wxlI+kytji3TsqyOzJ7Ac+EcdGYDXgW0ayATBe4RjCYLm0G8KspmtkFRalliBt07yZA7hrAb3a7S25K103LCsUNL6wMeAf5nZ2w2utVHuekHQkHAsQdBZZE5olJktWYPrvJqOW9Qo3w13Oo/Uu4ikYcBo4Lk10CVYx4gxliDoLLIZXPut4XV6gUXALjXKs7GdmuMriV3wKcuPraE+wTpEOJYg6Cwux8c9Lk0zxFZB0nBJDZ2O+crne4EtJY0pEclaMo1aRePS8U+N7hkEGdEVFgQdhJk9KelE4BrgCUl3APPxsZgd8JbMInxhYyNuBo4ADgWeLpRlA//T0yLOpcATZnZTQe4QfC3MLathTrCOEi2WIOgwzOx6YC/gF8AewBn4RpJjgNnA6QO81M3AK8AXS+5xLzAFdyhTgO9TmPosaRTweeA2M3thdWwJ1k1ir7AgGMJImopvILmnmTUaTymeOwX4MTDezO5rhX7B0CQcSxAMYSRtCMwD/m5mkwZx3kbAM8ADZnZkq/QLhibRFRYEQxgzWwYcD/xtMIG+8L3OrgK+1Qq9gqFNtFiCIAiCphItliAIgqCphGMJgiAImko4liAIgqCphGMJgiAImko4liAIgqCphGMJgiAImsr/Ad3l2bzaqM+KAAAAAElFTkSuQmCC\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"
}
]
}
],
"metadata": {
"kernelspec": {
"name": "python3",
"display_name": "Python 3",
"language": "python"
},
"language_info": {
"mimetype": "text/x-python",
"nbconvert_exporter": "python",
"name": "python",
"file_extension": ".py",
"version": "3.5.4",
"pygments_lexer": "ipython3",
"codemirror_mode": {
"version": 3,
"name": "ipython"
}
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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