{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Introduction\n", "\n", "This problem mirrors the identification of the control gains used in standing from:\n", "\n", "> Park, Sukyung, Fay B. Horak, and Arthur D. Kuo. \"Postural Feedback Responses Scale with Biomechanical Constraints in Human Standing.\" Experimental Brain Research 154, no. 4 (February 1, 2004): 417-27. doi:10.1007/s00221-003-1674-3.\n", "\n", "except that we identify from much longer times series and use methods that are order's of magnitude faster. The model is shown in the figure below:\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Imports" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np\n", "import sympy as sm\n", "import sympy.physics.mechanics as me\n", "from scipy.integrate import odeint\n", "import matplotlib.pyplot as plt\n", "from IPython.core.pylabtools import figsize\n", "from opty.direct_collocation import Problem\n", "from opty.utils import sum_of_sines, parse_free\n", "\n", "from model import PlanarStandingHumanOnMovingPlatform" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following will all the symbolics to be rendered correctly." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "me.init_vprinting(use_latex='mathjax')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This causes the matplotlib plots to show inline in the notebook and sets the default figure size." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline\n", "figsize(12.0, 9.0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Derive the symbolic model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The model is derived using PyDy and SymPy mechanics. This class exercises the APIs behind the scene to generate the equations of motion of the system. This model also has scaling feature that is useful for good convergence of the NLP problem." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "model = PlanarStandingHumanOnMovingPlatform(unscaled_gain=0.5)\n", "model.derive()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The model has four states, an angle and angular rate for the ankle and hip." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/latex": [ "$$\\left [ \\theta_{a}, \\quad \\theta_{h}, \\quad \\omega_{a}, \\quad \\omega_{h}\\right ]$$" ], "text/plain": [ "[θₐ, θ_h, ωₐ, ω_h]" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model.states()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The model constants are shown below. The $s$ terms are the scaled gains." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/latex": [ "$$\\left \\{ I_{L} : 1.79917382349, \\quad I_{T} : 2.48116350633, \\quad d_{L} : 0.571598315274, \\quad d_{T} : 0.314491823529, \\quad g : 9.81, \\quad l_{L} : 0.878, \\quad m_{L} : 32.125955184, \\quad m_{T} : 48.8305665951, \\quad s_{00} : 1900.0, \\quad s_{01} : 350.0, \\quad s_{02} : 370.0, \\quad s_{03} : 100.0, \\quad s_{10} : 90.0, \\quad s_{11} : 580.0, \\quad s_{12} : 120.0, \\quad s_{13} : 52.0\\right \\}$$" ], "text/plain": [ "{I_L: 1.79917382349, I_T: 2.48116350633, d_L: 0.571598315274, d_T: 0.314491823\n", "529, g: 9.81, l_L: 0.878, m_L: 32.125955184, m_T: 48.8305665951, s₀₀: 1900.0, \n", "s₀₁: 350.0, s₀₂: 370.0, s₀₃: 100.0, s₁₀: 90.0, s₁₁: 580.0, s₁₂: 120.0, s₁₃: 52\n", ".0}" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model.closed_loop_par_map" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The full state feedback matrix has this form:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/latex": [ "$$\\left[\\begin{matrix}k_{00} & k_{01} & k_{02} & k_{03}\\\\k_{10} & k_{11} & k_{12} & k_{13}\\end{matrix}\\right]$$" ], "text/plain": [ "⎡k₀₀ k₀₁ k₀₂ k₀₃⎤\n", "⎢ ⎥\n", "⎣k₁₀ k₁₁ k₁₂ k₁₃⎦" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model.gain_matrix" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally the implicit form of the equations of motion can be output:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/latex": [ "$$\\left[\\begin{matrix}\\omega_{a} - \\dot{\\theta}_{a}\\\\\\omega_{h} - \\dot{\\theta}_{h}\\\\d_{L} g m_{L} \\operatorname{sin}\\left(\\theta_{a}\\right) + d_{L} m_{L} a \\operatorname{cos}\\left(\\theta_{a}\\right) + d_{T} g m_{T} \\operatorname{sin}\\left(\\theta_{a} + \\theta_{h}\\right) + d_{T} l_{L} m_{T} \\left(\\omega_{a} + \\omega_{h}\\right)^{2} \\operatorname{sin}\\left(\\theta_{h}\\right) - d_{T} l_{L} m_{T} \\omega^{2}_{a} \\operatorname{sin}\\left(\\theta_{h}\\right) + d_{T} m_{T} a \\operatorname{cos}\\left(\\theta_{a} + \\theta_{h}\\right) + g l_{L} m_{T} \\operatorname{sin}\\left(\\theta_{a}\\right) - k_{00} s_{00} \\theta_{a} - k_{01} s_{01} \\theta_{h} - k_{02} s_{02} \\omega_{a} - k_{03} s_{03} \\omega_{h} + l_{L} m_{T} a \\operatorname{cos}\\left(\\theta_{a}\\right) - \\left(I_{T} + d_{T} m_{T} \\left(d_{T} + l_{L} \\operatorname{cos}\\left(\\theta_{h}\\right)\\right)\\right) \\dot{\\omega}_{h} - \\left(I_{L} + I_{T} + d_{L}^{2} m_{L} + m_{T} \\left(d_{T}^{2} + 2 d_{T} l_{L} \\operatorname{cos}\\left(\\theta_{h}\\right) + l_{L}^{2}\\right)\\right) \\dot{\\omega}_{a}\\\\d_{T} g m_{T} \\operatorname{sin}\\left(\\theta_{a} + \\theta_{h}\\right) - d_{T} l_{L} m_{T} \\omega^{2}_{a} \\operatorname{sin}\\left(\\theta_{h}\\right) + d_{T} m_{T} a \\operatorname{cos}\\left(\\theta_{a} + \\theta_{h}\\right) - k_{10} s_{10} \\theta_{a} - k_{11} s_{11} \\theta_{h} - k_{12} s_{12} \\omega_{a} - k_{13} s_{13} \\omega_{h} - \\left(I_{T} + d_{T}^{2} m_{T}\\right) \\dot{\\omega}_{h} - \\left(I_{T} + d_{T} m_{T} \\left(d_{T} + l_{L} \\operatorname{cos}\\left(\\theta_{h}\\right)\\right)\\right) \\dot{\\omega}_{a}\\end{matrix}\\right]$$" ], "text/plain": [ "⎡ \n", "⎢ \n", "⎢ \n", "⎢ \n", "⎢ \n", "⎢d_L⋅g⋅m_L⋅sin(θₐ) + d_L⋅m_L⋅a⋅cos(θₐ) + d_T⋅g⋅m_T⋅sin(θₐ + θ_h) + d_T⋅l_L⋅m_T\n", "⎢ \n", "⎢ \n", "⎣ \n", "\n", " \n", " \n", " \n", " \n", " 2 2 \n", "⋅(ωₐ + ω_h) ⋅sin(θ_h) - d_T⋅l_L⋅m_T⋅ωₐ ⋅sin(θ_h) + d_T⋅m_T⋅a⋅cos(θₐ + θ_h) + g\n", " \n", " 2 \n", " d_T⋅g⋅m_T⋅sin(θₐ + θ_h) - d_T⋅l_L⋅m_T⋅ωₐ ⋅sin(θ_h) + d_T⋅m_T⋅a⋅cos(θₐ + θ_\n", "\n", " ωₐ - θₐ̇ \n", " \n", " ω_h - θ_̇h \n", " \n", " \n", "⋅l_L⋅m_T⋅sin(θₐ) - k₀₀⋅s₀₀⋅θₐ - k₀₁⋅s₀₁⋅θ_h - k₀₂⋅s₀₂⋅ωₐ - k₀₃⋅s₀₃⋅ω_h + l_L⋅m\n", " \n", " ⎛ 2 ⎞ \n", "h) - k₁₀⋅s₁₀⋅θₐ - k₁₁⋅s₁₁⋅θ_h - k₁₂⋅s₁₂⋅ωₐ - k₁₃⋅s₁₃⋅ω_h - ⎝I_T + d_T ⋅m_T⎠⋅ω_\n", "\n", " \n", " \n", " \n", " \n", " ⎛ 2 \n", "_T⋅a⋅cos(θₐ) - (I_T + d_T⋅m_T⋅(d_T + l_L⋅cos(θ_h)))⋅ω_̇h - ⎝I_L + I_T + d_L ⋅m\n", " \n", " \n", "̇h - (I_T + d_T⋅m_T⋅(d_T + l_L⋅cos(θ_h)))⋅ωₐ̇ \n", "\n", " ⎤\n", " ⎥\n", " ⎥\n", " ⎥\n", " ⎛ 2 2⎞⎞ ⎥\n", "_L + m_T⋅⎝d_T + 2⋅d_T⋅l_L⋅cos(θ_h) + l_L ⎠⎠⋅ωₐ̇⎥\n", " ⎥\n", " ⎥\n", " ⎦" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model.first_order_implicit()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Generate \"Measured\" Data\n", "\n", "We will generate data for a duration of 20 seconds with the measurement sampling matching the discretization of the collocation problem, both at 200 hz." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [], "source": [ "num_nodes = 4000\n", "duration = 20.0\n", "interval = duration / (num_nodes - 1)\n", "\n", "time = np.linspace(0.0, duration, num=num_nodes)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This model is capable of includeing reference tracking noise, but for this example we will set the reference tracking noise to zero." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": true }, "outputs": [], "source": [ "ref_noise = np.zeros((len(time), 4))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use a sum of sines to simulate a pseudo-random lateral input accelration to the base. " ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": true }, "outputs": [], "source": [ "nums = [7, 11, 16, 25, 38, 61, 103, 131, 151, 181, 313, 523]\n", "freq = 2.0 * np.pi * np.array(nums, dtype=float) / 240.0\n", "pos, vel, accel = sum_of_sines(0.01, freq, time)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Zrn3C6l4g20BdKwlX2fa+I1IvfGH9qjmbm51QVDvi1D9noaUzMUzZ3oMIPrDaJyytrnaD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\nGKB7acKADciZNHIywiUmeY6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+4xwbyZEj+cp28CxSveIcb+jYqVA1F/V+ne2UaiQS0YBh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\nTbI9BmW75qSipSVgczP8XNKaUKslDtC1w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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(time, accel)\n", "plt.xlabel('Time [s]')\n", "plt.ylabel('Acceleration [m/s^-2]')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we generate a function that evaluates the right hand side of the closed loop system:\n", "\n", "$$\\dot{\\mathbf{x}} = \\mathbf{f}_c(\\mathbf{x}, \\mathbf{r}_k, \\mathbf{p}_k, \\mathbf{p}_u, t)$$" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Help on function rhs in module pydy.codegen.ode_function_generators:\n", "\n", "rhs(*args)\n", " Returns the derivatives of the states, i.e. numerically evaluates the right\n", " hand side of the first order differential equation.\n", " \n", " x' = f(x, t, r, p)\n", " \n", " Parameters\n", " ==========\n", " x : ndarray, shape(4,)\n", " The state vector is ordered as such:\n", " - theta_a(t)\n", " - theta_h(t)\n", " - omega_a(t)\n", " - omega_h(t)\n", " t : float\n", " The current time.\n", " r : ndarray, shape(3,)\n", " \n", " A ndarray with the specified values in the correct order and of the\n", " correct shape.\n", " \n", " The specified inputs are, in order:\n", " - a(t)\n", " - T_h(t)\n", " - T_a(t)\n", " p : ndarray shape(8,)\n", " A ndarray of floats that give the numerical values of the constants in\n", " this order:\n", " - l_L\n", " - d_L\n", " - d_T\n", " - m_L\n", " - m_T\n", " - I_L\n", " - I_T\n", " - g\n", " \n", " Returns\n", " =======\n", " dx : ndarray, shape(4,)\n", " The derivative of the state vector.\n", "\n" ] } ], "source": [ "rhs, r, p = model.closed_loop_ode_func(time, ref_noise, accel)\n", "help(rhs)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The system can be simulated by integrating the right hand side through time, given some initial condition." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [], "source": [ "x0 = np.zeros(len(model.states()))" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [], "source": [ "x = odeint(rhs, x0, time, args=(r, p))" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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xVBwHbqViFWFiErK92pZ9EwAWPA/bXBdTtZo2y0cRFDAbhnikZZseN6Zh1hCI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\nS9GsB6s+604kax8RWe8uZTabdYeVjac2qkmSOJ1Y09LwxQHmiCzjMZtJU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HL2UgYJiFGuZcDjkaTE1NIafrXEkGEGUXRBF3eKWNNG5+9c040izikSduxZeu+BJW9q+MlJeu\nHhzE8nQaF1Gss/CSKZViAXPQ5BPHMDebge9qEHGA2QP1GTOD00ZOC/lwNn2GuVZD02pg59TO8Ajb\nahVaJkMALOf9bxrdhDef+jY0rSq+fP13w5OT5skwA15iRg0UosPXLdrUPnt+3+M4e/HZYc2lZzeX\nymT4DLNhID87Gzows8UiKhIApbzPJIAZAG665Cbcu+8h3Hv4IZyTXYOzFp9FvvtKJVTJiISMYfb1\n7ZzLzbdm85N/t1LG9kPbW/IZPzzAnNQ0PsOcSqGLNfsvFol3Ke89JUx0p/vxnk3viE8yYtjSG7be\ngL2FA/jlsV9jXb0b79r8LkKgeBNKhSEDzJIz1I/A61Um9SoU4AJBI1UoBgYwW6+HJBkFjhML4Mky\nnvsP6ACePfYMaqaG0/tOjvycH0qAOZdDkpY+zc0Bvb3oNs0Qwwx4QMIv44uSfyBSccolc1g9sBqP\nH348rGGuVMje5sXcHJK5XLTpz5NkvFStYnM+D9t1UbJt8h0yFYiRrhHkU3m8MP1Ca9JfJoPn9z+B\npT1L0Z1i1rhabWmKmXj7aW/Hrc/filKzhicPP4Znjj2DxZ/7OhkFu3Jl5OfDCxDDlkpIGgB4x2nv\nwK8OPYq6XUOvk8TZi8+O/lChEF0vL4o8eVmlgqrgNd926tvw1e1fh6lp+MHun6DfzXD1ywBgMOPE\nedHwq/n+PeS6atUyGSsPcO/pc5eci/v33Q/XqxQYmQyqhWnUrXrYIUnCMAca5lwuvM8LBaRd9wQB\nzBMTYcBcKiHXbIIPhz1JBjM2kY18VkMm5+Cr38zgNGoQHe33R5cxAeCBlx8I631KJSQl4K/iOMjl\n8y3AfPAgMDaGXCIRSAw+fM6H8W9P/RuOlI4Ek4aaZgJarR6ZWueH0WzCFlxU2ya2YcfRHThaPkp0\nf5kMfvH4LbAcC5sTi+PLmIIDU9c06LbNvdguXnEx7tx9Z3BgupkMDhx5MVr2BQiIlEgyKpkMcjRg\nn5xEzjCEkgy6gUF6KQPkQRQwYgApTXZ3j+CK7k34zbBMYwAAIABJREFU3fWezcGxYyHAPJpK4aWz\nzw68VQGIJRnlcquRTRBBpix574CnH2TXXpFhBoDzl56P+/YSWUbAyiQSQDKJ5w88iYmeCWRN6lLy\nZBGBNRIn1gyux6tWXITlKzaTy87/OZGlnB9xThnUyHo6zhwjDUa0rdyuA0/h7HHmkvHAXzqR4LMy\njoMuxwl9Z9lCgbhkCEJ5n9k219/Xjy3jW/Datddgy/JzcHbWO+T9pEzEVAJyhlkiAzl/4nzcs+ce\nUvY1TTTLRZwxdkZUW+oDZsF+LZsmcrOzoWbN7MzMwiQZkvcPkOrCH593A7aufSVOtxZBs21ypo7H\nVMtkkoxGg++fTIUKYEaxiCSiQBIAYZibzcAlozuRQEEwfveaddfgjpfuREIDPvvQZ5HI5KDXozr/\n4P1bljQxA4B6V1cYMHtDmPKJRAgwO57kLUtN+ouED5g5e2PbxLbQ+V83NBj1hlyS0dUlbPo71mxi\nOJnEoGliqtkk9y+nX2nr0q24Z889LU1uNovHdt2PVyzhuCV57593lg1kB3Dj+Tdi1+xe/NkdH8bN\nr74Z6ZWriS1VXKhIMiR7+72nvxfTtQIOVQ7hgxvexW22RLGIVFcXX5IhkpcJ9sbr178ek7VZVBoF\nfOGpr6HHFT+/SoDZJyd9hnlujjDbEn29kiSD8/4neiZg6AZ2zewK7s3izBGcP3F+eN2Ypr+IhjmR\niA7KKRSQ0rQTBDCzkozJSWRTKSGIarguAcyCLwUQ64s2DG3Ak0eeBOCVrT3A7I9eZMc8JzMZIcNc\ntm1ke3pagHn/fmDxYgKYvS9mpGsEbzrlTfjsQ58NJg3deehBZG0NA1nOpDRQ3aucSBkpXLbqMvzo\nuR8Rxrq7G/945034s/P+DBoD/rghOjBdl0zH4oCBi5ZfhHv33ou6Y8HQNBx1ihhAFqN5TnNUsQgz\nlxNLMgyDSDL8g35qClnTlEsyNC1ekmHbxEZKZhEEwDFM5KepA+jo0fgkQ7RmPmCWPIS076oszEYD\nTfYQagMwb53YGljn2a4LHSQJQjaLZ/b+OqxfBghISKdb5vucCCZTplLEvcN/3o4elUsy4vS4AsC8\nxfNfpUuwew49E2VlPFsh0QFYsm3kNS10YGbm5lAxDK78xP+sC8EwA0A21Y2lI6ug+Q2bR4/KGRlA\nnmT4U+s4sbxvOYZyQ3hxZg8M04RWqeLqtRyLtDiG2XWJ3SP1HjJTU0KGGWDkUh2umQ0NPf1DZK7x\ngQNkveIsoGIYZllDE0ANEYkDzILpiOjvx6xttxjmRAJFwfjdodwQ/uL8G9G0iLVYrmcwfs3iGOZs\nFkm6gdoDzBldR8NxyP0HIh1M6zpJQgUVRn+qLe8suHTVpbh91+3Bc/nQ5OPI2jq6kgJP29lZmPm8\ncNLfVLOJfsMgNnzNJleSAZBpcz976WeEbfTOg+27H8RFyzlSFp9hFjzfHzjrAxjMjeKrr/kyrlxz\nJf998yKXE1ey/QY2yd7OmBlct+FNWDe0DifnlvF/yGOYuU1/ySTyhUIwwAnwegsEiayhG7j58i+j\nadXwZxd/DKast4AaJy6KQP7qD9CKY5eB+CTDP2eZ0DSN3GO+s0g2i+rcZFSDzUoyaA2zZZFKSm9v\nuPGvWEQaOIEAM80wHzqEXFeXsEzfcBykYhjm4OFhNvNpI6fh2clnUW1WQxrmhw88jDPGzmiNXgQC\nbZGMYc4ODAD7iEbZB8xs1vOn5/0pvrb9a6hYxGj+X1/8AXFNEDzcRqMh1Ra97dS34XMP/z0s10U5\nDZSPvIw3bnhjRF7ADRH4q9dJ4xknAx7KDWFl/0o8M/k8DE3DjtIunNqzOvo7gFhWvuw4yOl66wGc\nmkIulRJ/127Yu1oUhmCyFxtNXUfyyBHvfzTJwyez+wLEDHOpBNMw1BjmOMBcr3cEmM9dci4eOfAI\nGnajxcgAQDaL5/Y9Fpn05DPMwaHPiQb9exYtIvsLIIBGxv7Nk2HeMr4FTx19CoVGhTBZKQPHJvdF\nRxYXCkA+j5QHZBzm/RdtG3nGi9MoFLhNQfRnVd5nEtYV8NjqfJ5cLkDHl0wcq/369a/HIwcfgwUb\nCcvGtWskgFkA/sqOg1wiEU4yJidRlVyoAZCJ2d8yZ5HgdzkOkvk8ef3HHyejFeNCxjBLSAc/6PHB\nwvABM+98GhjADNACzK6LQi4nrHK9c/O7kTez+PV7fo1EJitfMwWGuZHNIkX/Dg8wa5qGvO/YAUqO\nAcQn/wKG+bFDj6HcrMHQNPzngV8gzYqd6ZibQzKfD/8uz4av1mig6broSiQwQANmDmN5yYpLcOfu\nO0kTra7DzaTx7L5H+VJGr59EdJZpmoaEkcbpIxu5fy+MOD2uy3d8oMPVdKRTaTHBVyjA7O6GJTrL\nHCcE/rLFotRPeFnfCiztHsP1Z79HfpZVq/GA2XWRTCZJ9VxFjgHEJhlNnwDjxKUrL8WPn/8xWYuk\nAatUwO+sZRol5+bkkgweYJ6dRVrXuRVJlfjtAsysJOPAAWT7+oSsY92zbYplmDmbOWNmcPKik/HY\nocdajTKVCu7fd3/0Yi6VCGCWaJhzS5YAu3aRyTMzM8DQUEiSAQBLe5biqjVXYef0S3h5bg/u2HsX\nNE0PZY10xB32l626DL2ZQeiuje2Nffir9X9AgL4KwywbwmHbQkDxtlPfhvtffhA6XDwyvQMb8gLt\nV7EIs6tLzDDbNnLJZKtRcmoKuXS6c0mGApABgIamwfSBzOSk2E+YjmyWfL/s91Uuw0wkhJ/VcV04\nAPTjIckolUKAuTfdi5MGTsKjBx9tMbTee39236NRltaXZEgumcA3HCANWAeJuwwOHCDjZUURp2Fu\nNrkHZi6Zw1njZ+Gxw0/A0DTsaxzD+q7lyJjMunjgT9M0LmPK9eKcm0PWccSVjDb2mYjt9aPhukj2\n95N1AkgFqlOGWXIpv++M9+GZyZ34/tPfQTNpYDzJqVzFMMwl/7mkbAwzx46R6YiCaOvZjElmG65n\ni7d+PRl1t1EB2EhkLGatpiTJMKnxu9EfsAiRIGGYC5qGbg+MdtdqKEhG71qui1TCQH+mP37Nms34\nNcvlkKTf+8xM4NCRTyRQ4AFmkYbZP8s4eyOXzOGyVZfhyWNPIwHge8//O3QX/PurXgdsG0m2v8DT\nds9MT6PfMKBpWothFkgyxrvHMdEzgcePPAVD0zCt1bE8ORyZKAmAMMwx8rjQeaYaKqOxY84DVvoZ\niWIRWj6PtK5HGNCibSMPhBJZs1iEK9BrA1Qia5qkj0OEM1QAs88wZzLkbDh0CBgV224CiJ+OKGCY\nAeCqtVfhzpfuhOU4uPvwg+i2jej3XSgE+zzLa/rzATMtyZieRtowThCGeXSUfBl+tnzwIHL9/VJJ\nRiqZlDPMrks2A+fQ9Ecl04D5jl13RKdVFYtEjC9iS20b2UGvtPbUU4R1SySQY7IeAPjUxZ/Cseos\nPvTTP8TNr75Z2igTB5g1TcM3X/cdJACsPekcbE56zTGdMMz+mGfBZ71+4/XYOfUi7t79c2S6BzCS\n4Ex5A+IlGbaNXDrdAl+Tk8hms3L5jYJLRkLhggFIo6TpsxoqCQZAtKc8QFMqCW26gJYNk5ZMBh6i\nojBrtagcxm+U4a1lqRSxFfL9mJsUYHZzWew5+EzUlq1WCxhmGetq+gfq2FgryemUYZZ4l15x0hW4\n7+UHSSWjuAun93AGI3jgD4D4kkmlIgdmFog8l36oSjJkE+RCv8tnOOp19QY2CWCWveZAdgBvPvWt\nWDe4GsmuHv65GMcw2za6ksnWmlkWsjMzkKV5luKaqUgygilsmzcDP/wh8QGNC9maKegzA+sq0Xv3\nklJRkoGBAZR0nVQzAOQrFcIwC4J+LmMlZiqAOZsNhjABCHl9dycSKHpAqUwD5kyGVNaaDEUc04/x\nvjPeh18dfAwPv/wghrqGyf3Fe/9zc0BPDzKJRBSc9PVhamYGAx47OmiamLIsoSQDAN6y8S2446U7\nYWga9jaO4dJRgd93pSJN/gHqLmkn5tnARkfT18pLGGZ0d0fkBYB3liUSYT/+QgEZy4r8LP16pqaR\ne0vybCYqFViJhFCmBlBrNj5OKui7d8dXf+KSDM68Bz9607249uRrUbUb+Mz2z6PX5jDptCSDwzAH\nGmaaMJmZQdo0TxDAnEgQxsqXNhw4gNzgoPBya/hNf7Ytzp58PS4no/RHJTcd0ihjlQp45tgzUYPv\nUknYvQp4kgzDAFatAm65BTiZdD1ndT0CAIe7hrFxdDN+fN1/4A0b3iDdyCr+iL2ZAWSNJEbXnN4C\nnypMlgww27bws/Zl+vDW096JlG7g+rPeLb1kTLbhg4qy4yCXy7Xe85EjyHV3y79rVRZLYexl03WR\n7OsjycXhw2qAGeAz8+UyTMGoYYACFH4Jqi62rzKr1Shz6WuH2e/LdQNZAh1bl24NHBN8oFs2XKxM\nj3K7ymMZZteNMszNJmG9ZftMBTALANT1p16PXx18FEeKB/F87QBO7eZIf/zRqCCAmdX+FS2LWAvR\ngHlqChlNi7cvVGH+FCQZyUQCGBkha7ZnD5GdyULW9NdsxrLag7lhXDCxFRrlvR0K2laOp2G2beSy\n2VZFY2YGmXQ6xN6woaz7VmCYA738e94DnHEG8JrXSH8egFySUatFPIXZiAXMMY2S6O9HyTACMNo9\nN4eipBkqVPlZAIa5nsshSZ8NlHsNK8nI+WvhJ//smVKpSOVlFy2/CMv6VuAXe+7El674kvj9Uzrq\nyN7p7cX03Bz6vXN6IEbDDJDK5q8Pb8f+2T3Y0ziCC0cE3tUKDHPjODDMKoA5aC6VMMzI57lrxpOX\noVBQq5YB0sRMr1ahOw7fAcaLYM0WLyZEyZ49HQHmQMMsOc8+fcmn4UDD5RuvhlnjNMZ6SRkQbfor\niiQZ09NIJ5MnCGAGwjrmAweQHR4Wso51/3AVXQ7wmCDBgXPJykvwiz2/QN2xYCaTKM1NYtuybVH7\nlWIRSUH3KuDZyuk6cOaZwM03w7fj4DHMAGC5QF/Ka5SQAWbF7tUg8/NLv/v2tfzzRBHDMMsy9CW9\ny3DZykvQ3z8uffiTXV3yRsl8vgWY9+9HbnBQ+l2nFIGMrSLJcByYg4MELKuslx+8dYvRMIcuyBhG\nyaxW+aN8ebKMep2UOJmf3zqxFQ+8/ABqthW87pRWxRk9HPsqSsMsSm4a9ME7Okq+s0OHyKUsK3fL\nADNA5AWCi2swO4g3b7wejx96FK9a/1qkGpx9QSULKQ7DXLJt5LPZMCszNYVMIhHPyiwAYA6Y+cWL\nCSujAphlbKkCqx3L9iowzLnu7pbuenoamVxOuF5AGx7pqpIMn2F+5BFwje/ZkEkyqtXOGWYvMUtq\nfO9qu68PNcNAxktOu2dmUJAAgRBgi6uYqaxZOo0kncRT7jVCSQbAl2WUy7H9GOctPR+fvPCviTuG\naJ95YIZX+UFfH6ZKJfR7Z0ePYWDOsshdIkg0BrIDeN+Z78ee2V3YvOIV6LYF32m1CjORiGWYzfky\nzJzfK/MUpsNyXZgykwKPMWX1uABJ/vN05QcA5uaQcZz4swyQn2eC6Yh0BDhj+XLgxRcXhGG2JAwz\nAAxkBuBqCXz8kk8QUpSthjC2cpHR2CJJRip1ggFm3ynjwAHkxsakrGMqBjDLNK2D2UGcMnQKds/u\ng5FMolqYIk1zbHhsacN1uWWLit8oc9VV5KC4knTfZhkNM/2+g5KQ5MBU6V4Nskj/Ui4Wye8b4Dtv\nBCHTMEuaogDFEmypBJNt+KCibNvI9fQQ8NVokNHYfX1iSYb/Xcddyo1GLMNse5rixNKlBMSoABk/\neIBZgWFWZZTMSkUdMFOSBDpGukYw2jWKRw8/ERyYB6xZnNV/SvT3qjLMrCRj//6O7L5M140OaGHi\nwuUX45q1v4NNK8+TsqUAuI0cRdtGV19fq7EUCACzUJKhqsdVYZh9Zn71auC554CXXuqMYbYs6RAO\ngNprMQyzVMPc399y/JmeRqq7G03X5TJQ/p8lFkrDTJ+NquHLAjhnh1Gr8UdaU9FUAcwSVr7S349s\nvU7caADkpqZQMc1I4xb9ekpABt55FpeYZTJI0ZZjFGCmJRkRwCw6ywwj1vEnlgCYnSWSDI68AH19\nmK5UAklGYH8nYZgBYOPIJly+8lVYNrZOTNRUqzAEGmwAgbevKUjUhWGahJxoRJlO2dQ6OtpimHmS\njHQ6nPxPTyOraXJ5mb/3YwCzEQeY/STvlFOI7PS554CTThL+PIB4SYZhwJWcBw4IQNV1nd9ASDX9\nZXSd3/RH+X4DIOeZwLdfJX77ADPd+LdnD8yJCWjgjx2u+1+i7IuJuWTee/p7sf3IkzjWmEaiWhNa\nMen5PNdJwHWJt2VG14ErriCZl6e7Y8sEfgRTc4COGeYAzPilEp8tjTsQRAxzpULAjMqBmc3y37s3\nUMJMp8WSDP9iPnCAgOaREWRNU8wwq0oyYkbhAq2mD23FCtKoqaIt9UMkyRCMlwba0yyalQrfBmtw\nMAqYqQybjTdueCN++NwtMDQNc7U5HLRnsDHPOeAUbOVCDPP4OLH82rkTWLNG+DkAxANmmYcnFMGf\n9/lZhtl1yTCE/MBAy9UDIPaFyaRQYtAWwxyzz4J127gRuPtu8n7jKhmyNVMA6bHPpu9dzWP+4Eml\nBgZCQ5i0gQF+aR1M2XcB5FKhs1E1/DuAs0fMSiUWMLPTMCMRw8qXenrQRf1bfXISGVmpnE5AFQiA\nuIpZI5VCki470wyzyCUD4FvLxUgyAEUCwBuekvLkEaFkq68P07VawDDnfVBfLAZDmKSvK9rbQCzD\n7P8Ovd09BghxRtDAptL0J9Iw2zb5TLmcWJLBysump8l4bME+UyZqqlUyv0CFYT7lFOBnPyMJ0YoV\nso8rxWW6pkF3HDiSJINtWo8830zTHyvJyBsGkVrS5//0NNInFGBetoyAzkqFlAWXLeNqgQFSpk/H\nSTJiLpnrNlyHumPj7379efS6qWgnPhA0VvFKcg2XDFcIMjmKQaJ9mEP/RvGSUfJH9C/4iQnCYO3Z\noyYvkNkKKTDMhgxUeOtl6DpsgMu0VBwHufFx4IUXCADzfKuF1QRVSYYCwxyAopUrCWBWYf78EEky\nksl4DTOgBph5+5XHMEsA81s2vgW3vngbEnDxzSe/ib6Bxcg2Oe+PavpTYphPPhnYsQN4+ulAqy8M\nWam8XcAsAX9AtOmv6jGVxvBwS14AEIY5mZSXMVU1zCr7TNeJROvb3yaa3Dj2VCLJMGLGPAPMsylh\nmDMiwGzb6BoaagFmz0GGyxSiTbZUUffdNvsHCNfNVHAAUNYwC2RLpWyWAGa/N2FqClnHkdqhLijD\nbJpEkuG/HtX0J5VkCBhmQ3KWAW0A5p4eaJoWTc76+jDVbEYZZkHFzA960p+Qpa1UYEgA/7wSMj+y\nWe55pgNwNE0K/gBqn4mey1wO0HUhw9ydy0XYUiV5GbBwDPPppxOC6ZWvjD/L/H3LYeUBqr9MEEqA\nmSPJqDsOmq5LZLLs+T8zg3Qud4LYygGEjXn8ccJgrVoldJsAiPl0yqfrJY0ysgPHTJi4dNXluOHC\nv0CyLjD3LpWAri6uD2eFbqRgQsQwhwCIrHtV4bAPLHJGR0mWetddxJIpLmRT68Cf9ORHLGCm7L5E\nI6PLvhXfgQPk+16zhozGjmOYVbrKFYBMUtcJQ/rUU8CTT6rZVwHiMmYMYA4xzDJJRqkkZpj9KUt+\nSADz8r7lOG/pVhwpHcQn7/skNkycyT+oFSb9hXyYR0cJo3fbbfH7TMaWOo7UIg1QAH+UhpmVZARN\nHzTDUK0CjhMPmFUYZsXELKlpwNathJl597ulPw9AnmQoMsz+dEQZYE5zLuWm48BxXSSHhlqXzMGD\nwPi48GIOlX3jBpco6r7blmQAwr1mVCpcT3k6LNcbHz9fhtlx0NVshlj5HBA/hAmIP8/q9dg1qwPE\n8stnmRlJRoHnkgGINcwSeRmgeJ55TX8Ax8Gmrw/Tth00/QUseAxgpif9cfe26xKGXMIwz0vy44cA\nZ2iaFjvFEohhmKlqGe9ZK1oW8t3d0QZm0xSfZYpNf20xzJkM8MQTwBe/KPzZUMga/2I8xkP7jPd7\nmKY/HzvMWRZ6PctC0GeZ11h6YjHMGzYQWcF995H/hlgLXHOcWIbZaDZjJz1BS2Bp3xLy36ywvNkk\nQDSV4jLMZb/hjxOsD7MfAfgDOtYwBw0Mmgaceirwta8hNANcFLlcACDCH6gsBLl+KDHMXmlNOFHM\n93tdtQr43veAk08Wrpf/OZUYZoVBBQHDc8YZwKOPkkO6r0/6b4LgJRqlEsxUSl3DLGOYSyW+b2wb\nGmY/btj6V0jpBm665CYMDy2XAmbppD96v2oakRw9/TRw/vnC1wYQD5gXUpKhhaf9BbZCNMMwNSVl\nS/3PGguYXTd2qBBA7TPTJEnZdddJfx5A/JjnmLNMtemPJ8koe8m/NjraAn8HDwJjY9Lk31TZ25ZF\nJBlxTczzcTAAhImGWamoMcyy79tLzEQa5pJto8t1Q57yWU0Te8orEiaAd56pyFgyGQKUXTfEMPeZ\nJmY8wDxnWeSZ8EPSjyEDTxHmT8IwA4hKDPr6MA2EJRk+YBYQAAAlbROdB40GYJpEw3w8GGYZ+FMF\nzCKGWTK1DvAkBj09EYZZZpHWFsMsqTACzHO5cWO8C5cfMYOYZK4/QUUBiH7nzSap6Hh3CC098gEz\ngPD5PzMD9PYizbM6VIzfPsBsGMB55wEf/CBwwQUAgJzgsK77gFm2kRWYIOnF7IM/jy2NMMyOg6yI\nYRYw43WfGQfkkoxKBXbMwx2y/Lr0UvLgXXqp9N8AIOWUbDZ6OfsMs4qGOeZSBoi2lFf+CCaKbd0K\n3H8/cMEFwvUCvCRDATAnFIBMiEX8wheA//2/pT8fCvaS8ViNZDotdFEJPfhxkgwRYG6TYQaAlJHB\nRPc43rLxLeJLRqHpL9JV/rnPEY/cOAeDhWKYRZcy9fkjDLM/GnXRojCQkOhx/c8au88aDcIoqTyb\n7bJZsjXr9CwDAlDC88cNbMf8S8a2A8AslGSoygtqNcJiSd/9PNcMEEoyjHIZsmF0/msaWW/iHu8Z\niGOYbRtdQHgIk0xepsr8QREwOw5SPT2kWjc5SfaQB0QGDANTHgk0Y1noo88WkYY5lVJv+hPdvV7T\nH8ABgH19mNL1sCTD1zDHMcz+vcXbZ57LhvQsm6/kB5CDv3YAs4hh9j47ez7Zrou64yBLT1kFiCQj\nlYqXlwELp2FuN0TnmW0ThllyV0f2GX2e+We/9/c9VCVllgbM/f3k9et1QgKMjAj7N1RCjix+U3HD\nDeQDvpE4Voi0wAvFMEcumR5qGAe1kXkHZkXGMIuAvq+9BmIBc9ylHDoAPvIR4Oqrie+rSvjgjwZd\npRLM4eEFY5hTHH9coMVm4cMfJu/3jDOQcxy5S4aKJKNehyVpHAGYh/+P/kj6s5HI5wl74ketBpim\ndNKfsobZcUgJmZeAtdn0BzDNhtls+LD1Q4Vhdpmu8hUr4hs+gHjArNIko6DHBaJNfwHDnEqRzz47\nG0ynkrpkqEgyajXpevkxr8vZBwOOE9EIGo1G50mGRJJRdhySZKTTJNHwG3LHxuSSjAVqLAIY+U87\nIWKYy2WpJMPvr0gkEkRz6Wn6Q0FrmEWAOZFoAebJSeQkDcyRNWMTYSqUKmauN1Fy/36SxFI9LIOm\nKQfMPIZZUi0DFAGz1/QHCCQZ3qQ/gNJZKwBm6XlQqSidZQstyQDUxr7Pl2Eu0ZUff4+5LpFkSDzS\n22WYF9y7GhCvWa0Gw3GkyWzo3mT141TDHwB0GwbmvHWYtSz0+HeorpOz7OjR4Pxnq5HtxG8fwwwQ\nZvkXvwgJuqWSDNlGVjhwLNdFAuBvqhh5QWApx4ksB+i7XraoxDBXq0osVpBFGgaxsFINkeNDO5IM\nEZChATNnDQIpy6pVwI03ApqGlKejtXisvArzB/J923HOIp2wDOyaeftDtmbK3cqenzMXVAwMtM0w\n04NLOmKYOzksZWOeYy4YG5DrcRmGmT4Eg8lYQGs61f79wOLFZIxqJ5IMhRImwEk0VMLf4zzHB8Wz\nLFb37U0TE0kyAJDn8sUXSRPxkiXEtkkkyVggFgvoQGMqSM7MQkHKais9mzTDLJJkJJOhCZjZdFqa\nlCm7ZNRqStKf5MAA2d/79gFLlgR/FwwFgQeYafJIpGFup+lP9IzTDDObbPX1YSqVimiY3bimv7jq\niSLD3JEkQ0TMqRIACgwz6ylc9KU0vlTKdck+1TSpJEPZ/19FkrHQDLMHmNuS/vAYZi+6RQwz0KqY\necl/JwzzbydgZkLE1KowzKZqiV70eyjwx2OY4zTM7PtuuqQpR1fYyEalElvC7OgAEDEMunxSkpIk\ng9KWsoC57jhhZxEvNE3jJhmO67ayzVSqpSvnhMoF0xHLwK6Z5x1qauLBH8oHV6EgZnd4kgzVCwYQ\nPyPe+5cNLgmBonZCxjBbVntsqQJgpisZQdMf0BqG5AFmmSRDiWGuVmFCjS2d9yXDuVSNep0v16FC\n1YeZyzDbNnL++125kuj7SyVgfFyYZASVH0CpsUhW6gcYiVk7IZJkFIuxLJYqYDY5PSyAB5jTaXIh\n12pAoYBcJiOtlikxf66rdJ7VHQfJwUHiNvTyyxHAPOUBiZlmM55hrlSIHagqkBE1qVIMM0+SMZ3J\nBJKMlK5DB1CvVtWb/nhrVq0C2ax8CNNxYphN246VZDR9rXybDHNgkZbJkGdsdpZUG/v71foxgPjz\nTNL0DRwHhllhQJq0kkFp5AHCMBdsG67rRgHz0qUkkfQY5hMeMPNAFMAAZhHD3Gh0dsl4FmkAuLZC\nUg0zx/UheM9+SDayXq0SuxrJppoXi+WHCDBLjN8Bar3SaT54ZdwLIkyWhJXnOWX4D6umaUSzlEoJ\nx0sb9bq6Fd98gmVlFBhmZR9mGWBu01YOULBqN5Z+AAAgAElEQVTlAUKAecFZGd7oXS/MGEshQFHD\nTEkyaBBc8i8ZoGVV6QPmOCumuEpGrQYj5oIBOqhkiNhSBfAkTWYtK2iU4T2XodHJGzYA3/gGsG4d\noGnCNQsBkAVg5eetMRVJMhaSYZY1/XV1Ebstb6CPqCoKtOGS4Ul/YkkT10VybIxYdDIWmbGSDF6F\nUeKfD8xTw0ytRbW7G7auh4imQMesQgDIJBnHm2GWNLDFDeUJ3FhECYZgvULVspERAvxipFJAG5KM\nSiX2PJt3ohEnyVgghjmp6zA8qUUEMK9YQZ4LimE+cWzlOMFjagFGkiFimBUvGaFdTQzDLLOV4zV+\n1GlGBpBuZM3zR5TNeO+ILRVJMiR6XIDayJrGX/uYpr8Qk8UE77sOHDL86HTYSyeSDPaS8faHjJUP\nSSNk1lsqDDP9dyqSjDjArHDJzDspy2SE1QDTstQBs0z648u2OKxMiGHevTvwKJeyMooMs6okY0Et\n0up1vr6dilCSwV5U/nOpafGSjIsuIn7bXuO1aM1Cjj8Kuu/jxsrzGGbHgVEuw3L5E1oBJplVkGQI\nNcyDg8DzzwcMr6zpT9klo1JBQiTRoqLhOEitWUPsvnbsCNylAKDXMFCwLFiOo65hzmQ6l2RQAJBN\nzqZzOQzMzUGjXiNvGCg6Tme2ct5ZJh3CNN9qGRAPmFVGY/sJErs3aIaZ2TshwOzLMg4cAMbHpWxp\nW3Kp48Uwi6qMCuO4pYCZmvLnR7enhZ9jAbM/b+HFF4GVK098hlnkzxtogWVNf/V6LICSsjJ00x+H\nYZBJMngMc+Ds4Uen2qJOwZ+IYW6nJMc+ECxgbiPJ4Dll1NmHVWJf1dZ0xPkEu2Ze6bEtDbPo+y4W\nxeyOb8EmybLZaFuSIblk5rVefkLFY0ubTTVGxn8uWQeDZpPYSHllUNaSsERfMmvXAs88Q6zw1q8X\n6nGBNjTMEq9XPzpqYBMN4VBlmHm/g5GwsLKUoOkPIBaV//RPpJEY8qmlKv0YqFalSVnw+zq5mFkw\nU61CS6eRgFg+E0oqYyRmUoa5v5+4sTz1FLB8uZRhVnbJqFSU91lyaIhUEH7+c2Dz5uDvdE1Dn2li\n2rIwq6phXghJBuXDzCZb046D/nI5RDzkdR1F05SOlw7chmSAOcZTft6SHyDeIk1lqJCoeiWTZNB2\ngKOjhCn1ALNS8g90DpiPB8Psxk8UTogqGUzTH+DJMrx9HgHML7xAZnusXn3iA+ZYSUZM019brAyP\nLfU2MpdhlkgyeCxDMGzFDxUrpuPFMIsAczujUXmAiBlZHGGY25VksAyzhKVtazrifIK9ZDwmZcE0\nzDJ2h3XK4GTZ7OvGMszlMmGYZZdMJ0mZiC2NGVkPUOum60SGQ6+bv8e898U66YQumTPOAO64g8gR\nvHJ5RwyzgiTDdd3w+rcTIj1utap+luXz0kQ27Z1lNPNaZhPZd7wjcNwRSjLoJj1Z9aSdRsmFYuUV\n9nZbGmbO+Q94gNk0ScP1t74FbNwo7LsB2iyVJxLSCiNAfQfvfCfxRmdckgZNEzsrFXQlEuFzVGQr\n1y7DzN69jhMCNOzembYs9NdqoSEcOQDlvr7geZa+roqGWSbJOB4a5mZTzSVDhDNYwMwb8wwQecGu\nXUoMs7I7kwIB8JtimIX3FyXH86MnkcCsZWHKsoKGUgDk/L/zTnJ3rlhx4gPmWEmGrOlPgXGMBcwS\nhllmK8djGeptyAtUu1cXDPwBLcCsqmETMVk+w6xFm/4iFzMVQhmLqiRDcTrigkkyPCZF5NEKcDTM\nMklGHGCmG/+8xg9RSI3f/ahUYhnmjpIyEVvabKoDZiAqy2AaHlmGOSTJGB0Ftm0D3vrWQI6grGHm\nrYkCI+N/59pCMsyVivpZxkuGqUtZ0zQktbC9kkwqJVqz0CAIWfVEYc0iv6+d4CUZCtUT6R7zQ0XD\nnEgQ+crDDwNbtwpJHoBh6xaKYdZ14H/9L+IuxcSSVAoPFQoYY583EWGSzbanYWbXvVQi540H8liA\nMtVsYqBeDwHmjOOgGuPrHgCoTjTMx5FhVpnCafhVN/b3xDX9+c/96tVE+rN3b+BeI2xgps//Ditm\nC84w+03A85VkzMxE7r5FySSONps43GhghP4uFi0iI70vvBDwksYTy4eZiZyu4xgzj9xx3VZ5RbaR\nFRjH2MxP4sMsY0v9MqbrusHFGZFkdKj7a8438wPETR/tjEblleQYJourlWwjyYhkt5JLJqHIMC+o\nJMNnmFXKvuk0Kd3yIg4ws41/3uQ6USgzzLkczJkZ6SWzoLIfqAFmmy7J+e/f/7yMHIVl9Aq2jR66\nLHf33QF7JQPMwV4zDMJsN5vEn5cOhQumo2ZcEStfLqOpepaJpFLUmvnPZsY7v0qSRFZ0MYcYuwVo\nlOzIVo49hygHm44YZm+vJQsFuQ/zRz/a8pQ/eBB7BWeUsntBpQJDQcMckqxx9tzKTAb3zc1hlJVA\nsc+m45DzP5frjGFmHAwikoxmE/22HQLMWcdBJQYwq9rK/SYYZqMdAiCOYWZt5WjAvGYN8PnPEzna\nH/9xbPKfUdUwHy+GOZcjjbBs1GrtaZjZtZ+aApYvD/38sGniSKMRBcwA8MADgLeGJzzDLNK1pnSd\nAFGZhrlWU79keKUeWpLRJltq6jp0LWxFFJFkxJRKEioM80JLMtrx4VTRMLfDMHNKme2w8qrTETsC\nM5VKq2nD6wZXlmTEaZhl7A6PYZYA5lgNs+O0Pxq73RCxpY1GewxzTJc0y+gVLQvd9B6j3r+SrRwg\n3me1WjxgPh5rpjrmWcYwU6w8ezGXaVaeCdnUUqWmP0WGed7PpkiSEVc9Yasw7Pt33TDDLADMgU/u\nDTcAmsbtXwlesx2GWaXpjz0fmViRTuO26WmsZCUDPMefbLY9SR4vUaH0y0D0eZu2LAw4TphhtixU\nJfIyQKH6ozq1dL7PpcyNy7LUezJikgy2gblgWej2k//164nd49NPA+vWdd70Z9tkbL2kaR1YeItM\nleq5tJIxPR25+0aSSRwWAeZUKlTx4A1TU4n/FoCZLbcCjD2bTFukUKKXduPHWKTJJBn+e6cBYDsu\nGSqszHGxlYthmEOXDK8kR4EZXtOflJXnlDIjrECnw146ATO+BMj/zO02/cVpmGXsDj28pFYj7Kdk\nqmGsrVytRt6Prstt5TpJyiSAWXnMMxAFMwz4Y8+Igm23LhkmlGzlAPE+q1ZjgczxWLO2GGaRhpnD\nMPshey6lkowFYrGABfZ7VfRIlyZI1SpgmmSaZ5wkg347MZIMZYbZNDtm5ddls7BcFxvZs8IHM/77\n9HoilAdXAfzznwHMuUQCJerZnGo20a/rYYbZslCJAczBd5VIkO+EtRalGea4CtJ8QoYzOh1bL9Ew\nz9HJf1cXkf686lVANqtuKyeSAvpJRlzT30I+l0DQn6W8z/r6QvuFJ0ccTiaxt1ZDxbbDbjBMnPgM\nMydbD0kbZAxzO4A5RsMsGicrumT8904zM+34MPtZmKzpo6MDQGArZySTnWmYFRhm2bAX3ncdSjLi\nhr3ErEdHYAYIJxq+JEOSobelYe7qUmv689nlmCYZ6aQ/rykKQKyt3IIOx4Hnj94OYOZpmBlJRggw\nswwzFRnmmfTDdl1oQEsGImOYY1i4jtZMlGSUSrF7OyTJiGOYWcA8T0mG8uCSdvS47UYMwzxvSUZM\n0zfAB8wiVxGAkWTEMcwxgNl13VjW9JV9fbi4txevYatRbPLvNerJEgygfUlGPpFAkWGY+xOJMGCu\n11GVJP+AQsVM0SJzwSUZtk0YZtX+gjgNMwOCI/KyO+4AfvIT8rMySQYr/eHtM6rCeFw0zKKmv0ol\n1jUntM9YOSKHYR5OJvF4qYThZFLaO9KJhvm/BWDu4mTrNfqglpVKqlU0VS+ZGJeMTCIxL4a5zDLM\nKoDZddUZ5uMgyVDeyPPVMMfovumIPKwxkgylceLzBTNAuJTpsSkLYitXKCDZ1cVlsQAQwOzrn2Pk\nGABzwSSTxHbKosYgeIACQCwrs9B6XLOdqXVArCSDxzDnBb8/KwB/ddVKhqLmb8E1zKVS7FkWfOe8\nZ5vDMNOXbSmmt4CXZEQYZtb+zw9FwLygk/5ohnm+gJnuYRE8I0KGWUWS0SHD7L9/XbJm6UQCPz/t\nNCzluTjQ+8R7ptpimHl7lWGYWcA81WxiIJkMSzJqtViGOQQAJYA5VsO80Ayzz5bG/HPVhlwWBEeS\nf9MkyQ7kbKmSZaIqYF5ohtkblqK8zwYGCEj2Y3o6wjAvT6fxq2IR63wLVkHomjbvPfDfAjArSTJE\nLhmKAEqoYaYOTF42JwN/QBQARvS4IoahXgeSyfimv4Vk/7zGShUNmyk7MGmGuU3dN6+U2ZZLxvEe\nJw6EmyUVbeWUGKViEalcTui2gdFR4NAh3LRvH25QAMyh1+Xtb88hAxAzzK7rdpaUSabWtcUw8yQZ\nDGCuyC4ZKmQWaUpyqWoVZowkY8HXzHHIWRbzT0PyskYjnCAxDHNEkhHHMAvWLHiWdJ1fKgcCVl62\nZo7rhr1X2wlZ05+EdFACzPNhmCWDSxqq54ECYI541LcbdPLvA+Z2gAwPELGA2TBCkozpZhP9mUyY\nYa5UUJEMLfFf1xSdB4CSvOC4jMZWGPMMUFJGtrLruqE7k5WwzMnkZTH9GLENrb8phrlcjpWBhPZZ\nf39sw7svOTrZu9NkIdP8y+K/BWDuYjYQwADmBWCYhXY11Ebmbc5YSQYDAJUlGW1kfgs+5rmdA5N9\nIFw3MrK4HR9mIcOsKskol2NBRUdgBohKMtrVMEskGcl8XswwL14M7N+PP33pJfytpsFth2EGoqwM\nJckQsTIRmUK7IXLJqFY7l2RQFywr25JqmAXgr65ayVAAfx0lZbxLxtNNy55LgJnCyf4ehmFmzzNZ\n059QkqG6Zgq6bz/5XzArPpWmvzYkGTwNs+u63ERDNGwLYJjSVIokNrxnvlKBEVPt6wgAAtHkv12G\n2T9T6PevIsnI5cIMc7mMagzQiXxX82SY531fiog5RY/xAGf09JA18qNcJvvAOw+7mfWSJf8dN/39\nJhnmRKI96WezSe59v+GTGXKTSyTwD6tX44Pj47FvK30iA+ZOGGYVxlHVVo530c6r6U/xUkY6rcYw\ndyLJoDNdBYs0IIZhqFZJ+d97+LlNfzGjsbkaZlWGWREwd8TK0M1309OxPsztNP0lu7sjAyWCWLwY\nc9PTyOk6BiwLh5Yskb7NECMD8AGzzzALsv2O9hcgn1oXA5gjtnLspCeBJMNyHDQcR/hcKrGlgBz8\nxTB/HTuxcNjSOKkUwHznbONfHMMc04wb65IBSJuLlJKMhWT/FG3lpKAixla05r1nNqFUHo2tadGh\nPH5UKkjEAWa2KtJusJKMdjXMiQR5//S68SQZVKVjqtnEQFdXmGEuFlGRTPkDGAA4Tw3zcWGYy+XY\ne9p1XdjwiAeWYWbOMn9iXfDXrIaZCuVJf6J7x5uOeNwYZtHo9HYZZk1ryTIk/TvvHhvDsph9BJzg\ngDmWYfazTc7imwoASlXD3K4eF4gyX9zR2L8phlnmKTzfpj+G+WvbVo5z0SgDGQCJalVJktGRhtmT\nRsB1iaZ4aEi6ZhEDeQlg1nt6xFaCIyN4LpvFmkwGq0ol7GF8KNkIfU9AuMEHCC4YQMwwd2TDBIj1\nuNVqexrmnp5ocscCZm/9/clYIqYy7e1Jh/m8EXuuDgHzgg57qVRgpFLqDLP/e+jnm8MwdyzJ4DHM\nguYiFYa5I8uvWo3YZPnR7uCSmGasJOf38OQYgJdgiEZjs59TtGbed35cGWaOJMPQNNgAP2kH51xh\nE7wYDfO0ZaG/tzfMMBcKqMYAnVhJhgLDfFxGY1cq0tcEvOQfZGAQurvDDDMDmP0zyL8352hbOSak\nLhls099vgmEW2cp5lomx0k96b/uyjGPHSD9PB3FCA2Zeeavuuq0P7We5nEPHqFTUxfjsQ8hoi3ib\nUzYaG4gCwBrLCIgOy1pNaSN3bCtXKrUSjfkwzDGAeT5Nf7HTEUXZsm3DqNfVvF47uWR8wDw7S76/\ndLq9wSUiSQbl98omGQAAw8DB5cux2HUxMTODvWNj0rcZAupAlHFkmv64DPNC6L0FnsLKY54BcgHP\nzrb+kpn0lNF1NDwQXLBtYQkTIJcWr1NauemvVosFzAve9Fcuw2wXMLNrzyQZbNNfUSLJELk+NNqo\nmB1XGYsvQaETBEVbudB6SRolk94eo0MEmEVOLABn0qjoTPAkGcfNJQngNv1pmqaeZADRdfdkasFL\nGEYAmMu2DQ1AlmniyhYKqMT4GMdKMlR8mDupYmQyRJ/PPgflcnuOD2zyzwBmIMwydyTJaAMwHxcf\nZhkrrzD8KbTPfKeMQ4eAmLsvLk5owJz1gCrNCEW0wAIdc1sMM/sQVipEXuBld8KmP8ni8xhmVRZL\nRZLREcNgGOTz+a/va9g60TAzZV9u05+k9CtkmNsAMrILBlgASYYPmI8cAYaGAEC6ZlK3Bzr8iWIS\neceRiQkM12pYfPgw9rfT9AdES4G0JEOwzzq24OPZm2EBAPP0NPHm9ELTyMjrim2Hjf4FwQ4HANpr\n+ovTli44w1wux7KNQAzDPDMTWjP2si1aFnrabZRkn6UOWPmO2VKeNrSdSX8xw154g0tE0xH9vchj\naSOfU1Iuj/vOI7r7doOjYQag3pMBkGeTXndvmFPwEhTDPNlsYtA0yUTEw4cDsiY7M4NqzCCjtlwy\nJA2XHSVlgtdVGcIRyHZiJBkA0TEXbBt1x4ENMcCTSTJiG1qB488w+yQk+x4rldjG6cg+8wHzwYP/\nDzDLQte0CBsSmZgn0DHrHohmy690hPwR22iSAeIlGTyGOfRl+XZfbNbqORjEMsydygtEjg+qG5nN\nIJk1E0oyBBuWNxpbedhLtQo9lYID+fe9IJKMw4eBo0eB4WEAbVwwIsBcr5NDJZVCSuMPSACAwxMT\nGJmexqKDBzGlMBkrwjDTgEBBktFxciGZWqc8hAPgA2bGVsjvLp+TMDJ+8J5l5aY/BcDckZSFp/ur\nVGCm0+0zzBLATINg23VRbbMZF2gjmT3eum8gCty8Jmblpr8YhpnX9BdM+WPC9HTNvMQ38jlFa1ap\nwEinjx8rD3A95QGos/JANFFhGGZfUum6Lo41GlhkmuR1NS3Y55mZGVQUJFoqgDmOYe5oj/EYU8UG\ntuB1eevFnOX5RAIFy0LBS2JF8jJT04i7DOe1Q5VUEc5QYOWBDhIzXedXA8plJUlGaJ95Te//DzAr\nBKtj5jLMgvnysgPTdSkrI16phDH6p0G77RLTeNniswAwIi/QNH5JznMwUBmN3THDwA7hWGgNM/P+\n2x2NHdGWihiZahWaly3LWOaOJRkjIy2GmQbMktKYVCcJtC5mTUOSs2Z+HFm8GMMvvYTB/fsxGdNV\nHtGAsU2eKgxzpxcMDzA3GjAtS30IBxAryQCAXsPArGURjWRMQyGPMW1LXhDHMB8HSUYceAJiJBkM\nYKZBcNGy0CW5mIXOIrymP5GGWaGBrWOGmd4j1FAhadNfHMNMSTJUNcyAOMmIyJw6YJjjxmLHBs12\nTk4G2lARAeC4LhwwwIF9NhmGOanr0EH2SsAwAy2WGUB2chKVmCQ3dnBJtRrvktHpfSloLo2blxB6\nLlmGmXkuAU+S4Sf/kkRC88hEniwjlJj5OIPdZwrDfYDj4PpTqcBU9BgPYulSYO/eBQHMJ7StHBB1\nT1CSZNg2uZwlm8F/+HVNiz74TKbMbkzfIUNmg8QCwAgzDvB1zFR56biyMmzTx3w0zPQlwzR8tK1h\nFvgwq0oylGQsnbIyo6Pkod23j2S9gLRRJgRcU6noABEgWvoVgO8jg4MYvu02DGazmBQ0FfkRYZh5\nNoIxg0sWNCHzo1yGETN+HfDKmP7/iJFkAECfYWDGskgXfgxbxQOAEfDXIcO84E1/HmAWNWMBHMDs\nX8z1OrEvo5IsulQus+EDWgkG+9rKtnIquu9OqxkC5k5Zj6sgyWCrZVLALBn2YqqsmSrD3Mnz2d/f\n0hJTzVQiiZntrVfozmOfTY5Hrr/XuIC5UiG2cjGfI0R0iAbVZLPSBKnjngwezqhU2pMxsk1/nKl1\n3R7DPG1Z6J/HWQYoEgCKlewFdxdRuAMigHligty5e/YAMQ5RcfF/HcMccZvgSTKojFNJw+Z3dPqv\nw1zKLCtVtm1pwx8QPTSrPDlCzEaWwaIFacpiJRntPPzsJcWsWbs+zKwNH+CxKIpA5rg3SgLAokXE\nE/KRR4BVqwCQTF+UaETscWLcWFIyDXNPD4YPH8bgaadhsilvZ41omFlA4CVIgJhh7nh/iRrY2vEU\nBsKXcr1O/o8ZpdtnmgFgjmWYBZUMZXlBKiWtwnS0x3wtpzdICABQLkPP5aADwupJqFoGkOfQdyLw\nWSzqPdHNWMWYRsmEt7/ZZ3lBdd+dVjPYs0iBABAmGH7EuCTNi2Fm94aMYY4DzJ0mGRTLi8lJcrZB\nzDBHQAwQfjZtm/w3k8z6e+1Ys0kkGf5rHzoEHDqEbD4vbJLkvrZIPpPP/9czzJ7jg6yqKW3648jL\nfIY5lGAIgjeBGFDsL1BgmP2BQgsuMWuXYZ6YIGB5505g7dr5vRcvTnjAzE6/qdh2PMOs0AQQ+lJ0\nPVwuYTV/TCZXkQA/+n3TzHjFcZBh/40IMCswzB03ZYkkGaobmb6UgUipXDjpT6Rh5rlksCyK6IL5\nr/CuBgjoOPlk4LvfDT24PI0jwHnw4+yrOEmGH4ctC8M//jEG3/1uJcAc0TALmk1ktnIL7sNcLsNU\nYJhtdp/5lzIH/AEthnnasjAQc8lkOZIMZa18uQwjk4kFfwuaaFD6TNG6haplQKtJBuCWfUMMs2Vx\ntbh08BjTdpOM4970x5NkqBImbAUGCI8s5uyZ+TDMkb0hY5hj9lnkbGw3aMB87FgYMKucZUA4UfHl\nGAwr6j+bIQDo94IcPIhMX59wYp0foUSDBcy2HThLxbpkLLSG2XN8mDfDPDUVBcwewzzVbMaeZWx/\nlx9K/QUKgNlf93kNFAKEvvJGMqku/QTInfvooyTJWrZsfu/FixMeMHcxwDPCUvIYZoUmgEjmRB+6\nHOsqdjKWzCED8FgGjowjFDwA2IYkY6GbPtrSMGezRF7gj8NVYZjb9GFudzpiwnuPouhYlwsAF11E\n/v855wR/JAIzEWkEb68yfq8iScZUs4nBsTEMZrM4FgOYYyUZDGA+LhpmHhPksQuyPQYwneU0i8Vh\nZACiYZ5pNuctyVAGf5UKzBggsyDuIhwLQOUxz0C43M7RfHdRAyXiJBmAYM14etz5ylg6BTNs0x8t\nyVDpL0inyVlGP1fspNcFYJgje0PGMMfts07XbGSE9GI0GmSPeXK6eTPMk5MReQEADJkmjjYaOEYD\n5rEx4MABwjD398cyzKEKBHuu+FNLdf03wjCbMRZpkTuz0WjtM54kw2OYp1QYZhFgZrHBPDXMxyXJ\nqFRiBzFxCZ+VK4GtWyMJWbtxwgPmnK5HGOYQ6IphmGWapohFDstkecFjmOMkGTyGOfJvRJmfCsPc\nKaChGfX5MMys9ptZM9bv1nIcWK64UdIfpkC7XFQdB5k2APNxl2QAwEc/Cvz61yFNqEjKEknKeHuV\nAq8iSYbjukHpvMcwMGdZsXrWWEmG7wAgAGIds/HJJHH/YOQFbU+t6+4mANJxuOAPYDTM87hklJv+\nVBjmTveYwFO4LX9c2uuWo/nOU1W7ooKziHBsPbtmoqa//wqG2QfMrhvIKZQJE02TPiM8Z5V5Mczs\n3uhEw+x22PQ3PExYXh/oer9LdpbFAmbOUImhZBJHm00caTQw5EuOVq0CXngBOHAA2YEBoT0a97XZ\nhtZSKUhs/stdMjw9rjL407QwecFhmHu85H9SkWHmSjIWiGFe8Cqj6wYMc1uAGSAyyB/9aP7vxYsT\nHjBHGGaW3ZUwzG1dMvShy1wykVGyMZZyQPSS4TLMHUgyOnZ8oFko77BrS8MMRLWS1MOfZhwfyl7C\nICrv0H66flRtOwyYFSQZcS4ZHR0AADnwTj899EfKrAzv0KWYLNHgkqKnmTd0HaauIylgFvzgDi6Z\njySjkwtG06IlOb8cpwCYQ3KpfJ7sr6NHuZcyXfZVAsw86c8ClcoXnC2l9LhtMcyqkgwVhlkgY1Fe\nsxjw13GSQVcHSyXyXgyjvfOfB5gXmGFWdskol5HIZo/vPsvlSCPy44+HGqnaZpj9vSoCzB7DvK9e\nx1J/QMnq1cDzzwMvvojMxIRwMqIfUklGsRj0NMRVFI6XhrmtO7O7O1wxYxjmkWQShxsNTFmWGsMs\nqGS0o2EWelfzjAraCXbNGg3yXLYjY/Gjry+wQu0k/q8AzCVGkpFVZJjbKmPKGGZe01/MwtMjewHC\nlioxzKoa5k4PzOFhUpIDCBDxxzwLXtN1XdhAq1QORMvlEkmGioyFlWVUWd33Apiwd8wwc0JZ9xcj\nyRAxzHOWhV4K1Pg6N1FwD2kRw3y8JBkAt3za9tQ6oFU+PnSI6B+ZWJRM4liziQONBsZjpoZxbeVY\nto63zzznHSXwt5B6XGpssTL4o5NhDotFN/3Jpon5wR32oiJj8aoLKtMRF4xhphtaJQRALGCmCICU\n93voZPy4u2TkcseXlQeANWuA228nTVVeiACUUMPs71WOQwYADHsM875aDRPpNPnDVauAXbuAHTuQ\nWrs2srZshJ4p9ntSZZg7JQAExFzbDWyDg61kliMxG0smcajRIIz8fCUZPIaZ44ccN9yn4zWbh7wM\nEOy1BYrUPH/vfxvAzALPCLvLcx6gZA1tMcwSDXONslZSafrLMq4PFceJgmwR2FcZXNIpK+OX5Fw3\nDJgF2abtEquvEEMsYZj/T3vvHizJdd/3fc90z8x9P3b37hMAARBvggRAArBEiiJIk5REMwwV24lC\nymLRdqyqWDJL5aik0KqETLkqilNRWIBkXn8AACAASURBVBXFSVUsxVSSMiuOHZm0TIrgA6YYSqQo\n0SLBF0CTeBHELoB93ffMdJ/80X3mnjlzTk8/z+lz5/epQu3uxd07vT09p3/9Pd/f96d+mPOq8vJu\nQm5LRoFzVvkmoyG3h3mGJUM3ghcArqoFc+pzMzF1My2hMNdyrjQLZreowgxMdNXrcjhv6Pfx7MEB\nnjs8xIUZU8N0o4tzqaW2egt0CnMOe4F2MhaQfMaVhwxVYV7N4WGesmTUHV1V1zlTptblPmfyQ+Xh\nYeIzTRUtkXkrq3mNpWQMh0AcI+z3mx2NDSSNy5/4BHDrreMvFVKY5Z2MDEvGv9/fx34cHymmy8tJ\nkf6FL4A9+KBRKdW+tq5glhXmDEtGIznMRQvmra3kfgtoHzLO9Xp4fjDAs4eHuFE8YBgwWTKm1jNd\n812Oz2bt5yzHzj/QbME8dwrzns6SUeJi0CrMYtFVFOYOm4xWylP8LSvF354uis7QRZr7xlzVw3bx\nYvJ6jI2fNnNNxhLoEgxS1Ji4XOdMpzDnsWTk9X1XfcgwkNvDPCslw2DJuKqMLl6doTBP3ZhLxMrV\nckPWFcwLC7ma/iauNdFVb1CYb+z38ec7O1jsdLCSZzT2rAE5JT1/QA3KvJptKyvMeRJ/gCOFmfPk\nM3727MT3r8pNf3mmIxpU+VyNRXnWsjpi5cQ5k6bWZd2YM21LmjQWVQAopTDneTDLeZ1VHo0NAPfe\nC/zgB8DDD4+/ZFoPtEWM2PkBjHapWxcW8IeXL+MVCwuTYssHPwh84APAiRNT9j2VvJaMLOWyFoVZ\nZ8komil8+nSSSrKzk1xfi4sT33++38ePDg/xzMEBbiyxWwZoBBNDYtGsz2Yt50ynMM+4tqlgroDa\nPKe1ZJRMyZjy42Y0ysgRLlo/soK6aGoVZlOxb6PpTyx2qboMZN9gjB62K1eSG7NyzoRaLFT5rAzm\n8d9R3ut9NUIwS2G2cWM2YEq3yG3JSLcUc1syZijMU15JWT2L42lVJs/2cRnUBp29vfKWDKEwawrm\nVywsYDuKcMsMRQbI8OPmUUttPMgaCuZCa1mvlxSw29vJg0Y6lVIgN/29nCeKz6Aw19FYBNQcK5fD\nbgTMaIzVbJUXKpizFOZZAkCBB7NK/lIAeM97gEceAd761vGXCjX9bW0l52o0SlIv0mFOMvcuL2Mv\njvFaJTsdv/ALwEc+AsCslAJHGeOZCnO6fs5SmJsYjV048UEozGJqnXJMp7pdvDwa4dJwiDM5dsuM\nloxZCnPelIyqTX+kMNtlysOsKpUzis7cBeDp01OeXplF6UOdp/jTKeOLuoJZE+xt5cZ89mzyob14\ncfxvnTlKVn09Ycm4ejVZ/KWn5W6ng450/nN5mNWmP5MlQz3Glloypq4xnSVDUsRMhfeUJWOGwjxV\n7MrqmYhhSq9f0zmrbC0AkgVTGck9q2kO0Jy38+ePJixqJj31Ox08tLqKt2sSNFRyRaS5VJh1mcJF\nPcxA8mDxwx8mBbOiMPfTz/kwjpNhL2Wj+PLYWJoevwtM+kKlbe5CqrxciGkaJdUHrbIpGVPnLMNO\n2KiNBQAuXAA+//mJCa2FLBlBkJzrF18EnntO+9nc7HbxSxcu4G9rHnQFaqKSTMT5ZMZ4lsI8Sy1t\nwpJRtGAWCrNhzHOHMWyGIc72epP9Qhp0DxoRT0aYTwk1OoU5T0pGlWvM5GH2UGGuFmZnkal4NrXw\nylCYC1kyzp4FPvOZpLnnpZemVBl5wcyzjSm2zYXCOtXABpi9RUtLCJq2F2xuJgveV74yDgPPPRlL\nsLWVTOAxKH9CZe6lv+ZSmLOa/sIweSIfjQBZFdvbA86ebZ0lY2rbV6cwywWzYWvy2miE9SIKs84K\ncniYnDdJgQNmWDKqPlyoaun2NrpnzhRXmG+7Dfjc55JGodtv1/6dP3nta5HnnTUVf2vqmlJy56dy\nb8HGRvKZEgiF+eCg2GdTjJP90Y+mCmbG2LjxL08Un64AzKXKF7CXVdrNOHkyKXJHowmxo9B6pg6u\n0inMBTzMVzQPtFMPU7r1oMCDWWMP/3mb/oCjXpjnntMqzADwPxk+s4IshVkbxTccJu91GOb2MFce\nKGSyZBQdwnH6NPD440nBfOGC9u986jWvyb+WKfcB8e+csL+YLBnLywhTBV9Hrc24QC57GdDOgtlf\nhVm1ZGQozIW2MYWn99KlZLFUVBf5Rpsniqnb6aCfFooH6UU89cRY0n8N1LAAMJZ0SX/qU+Omj6ym\nP+1FfOHCOIBeWzBLN9rcHuYshRnIvDHPeshoypKRpcrk8jCnBXM/b9PfLA+zem10OkkhdvlyUsBK\nBXNWrFzlcyV73AHg2jV0V1aKF8x33w188pPJzUbKv5bpqDcJA7oGtlxNMjnykIEalKwMD3PutQxI\nCuZvfSu5YWk+m+tBgGtFsqt1loxZaqmtpr8wPGpAk6bWFTpncqOkxpJXh4f5ULVRZKz/AWOIAGPe\nei0Ks4ZCCjNwtJNhUEzzMLNgls8ZY5NZ5VIspwuFuTsjNWfqvIkxzxnn6+G1NTwkrdEmdOdN++8s\na8moeo2pa5m0W+YsJeO4F8yrQTChpuVKycg5GnvigyielDPUUnGjzaMwA0kI+bUoSmLodN9v2ipJ\njz2zS7qqKgMkeZif+lQyehIlFOYZBbNcAOexsaiNklM5zMDM6YhZiZ61RDFpyK3K5LBk6Jr+rkVR\n4ZSMqWvj1Klk5+Sll8YFBZAxuKSOpj/hcRdcv47u2lrxpr877kh+ff3rqx0PcsbK6RSZHFGVQA0P\nZfJNRvjNV1eLfzZvuinZbr/llvFQChkxUCKXh9kwGnvqnJVsYK5FLT19OhE7ZIXZsPMDaJqYt7aS\nzwagt2RU9DBHPInlzLtVzhhDkP49HZVHYxso5GEGkqSNT30qOX85egh0LHSmp8Jmvq5sy8jRjwHU\nlFutea9mDeWZus5uuw343veSZsubbip/PMhpLwOm17M4Ho8TbzRZpESmPEAKcyXEZDNB7sElM7wy\nWktGRsE8kV2aQ2GWj11MaZsiw5LR+NYvALz97cmvb3oTgIK5pUBSMD///ExLBpBznPislAygkley\nlnOmodDgEp0lQ46V0/ycq6olI0dKxtSiKXyeSvxTlsJc+YasU5jX1nIpzBO7MYwB3/0u8Nu/Xe14\noM8U1toLBoPEniXIuVVe2Scve5glv3mhtQxIHoI/8QngNa/R/p0z6YCEK2U9zDp7QQkVC6hpN0MU\nzJLCPLPpT36fxAMloG36W6roYR7EMfrqLkjGOQOyFfJaUmw0FFaY770X+NjHkl9LUsiSAUwWzJLg\nMEthrpyPLvdjcA5sbyNcXCzWwHbhQvJA9md/luycVcCYXjOrVyqdWyDGiTemMJfIlAc0O7M1cuwL\n5g2pYBbjlSeUjbKjsdULeWUlubD++I8ngtwFE9mleRXmIMDV0chcYJdMyRCdw5Uvqve8JylE0ifd\nwiqWiPt64omJLE+BHBN3XSn6dMh+dc653vdd0rMO1KSaajB6mHUFc4bC3Gf6pj9dSsa1GSkZU9fG\nyZNHCrNUMDc6uESzJReurRVv+gMSlTlHU98sTPaCiUB7xjIzRBst/uRzpuZlF1HhfvInk1/FQ7HC\nmW4X397dxWoYziwkVMWUc55flc9hY6nlc3n6dLIWXbo0YcnIvZ7JBbNm2It83QziGBwwPhjpFOYp\nOwaQuVUujj+rmKmckqGhsIf5gQeS8/WGN5R+zayCWXufk9N3rlwZNy1m2VgqP2CoftyDg+RBNkfT\n38Tnq9MBXvlK4MtfBu67r/zxwGDJMCnMysRVcY1lRvHVoTDrEn9m7NKRwlwBUXQCaTSbOl65rsEl\njAGvehXwL/9l4u1VmMgujaKZxR9wpDAbi8WSKRmiEMvj2cyEsaPtbpTwMPf7SaPHJz6RbM0pyApz\nHlV+qXM0VGKQvl4u33eRHOY2pWQMBknzSpouYmr6UxVm1devYrRkKB5PoOHBJaol49o1BOvriAHE\nGQ+DUxMla0QbK2fy/Wk6vDtA5vFXLv4yhnAUepg9fTppxHr/+7V/50yvh69ub8/MegWmz5nwfHeY\nIjhU+FxWvtZuvRX4/veBZ58dpzUUWs/kglkz7EVW2Xcz1GXA0CSpK3Az1jIAmT0ZrVGYX/ta4Ld+\nC/g7f6f0a2YqzGrjNJB8JjQzExhj2ak/dTawpd7pUn7c978feMtbpoIFimJMr8m5lgGzH8qa8jBT\nrFxDyAqzdls/q+lvRkza1JvyqlcB3/42cP/9U98/pTAXKZjzWjI4T7ZLchTMTSyWwgOse0I3XsSv\neU3SLPna1079rymFOUfTnyiwtf5loFJ2dVOWjKwc5ql4NzkSSajL6TGZfo567tT4PRXt9VFUYa7j\nGtNYMtjGRmbxFwOTMVI1k9v3pz7MpteYuCmbvKWVH8rkhwzpvSpslwKS7V/DeTzd6+FPt7dxU46C\nWVVM9+N4+sZjevi3ESsHJN7Qxx9PFOY0raFQ059cMGuSReSHhiw7BlBAYa5iyajjIUNDYQ8zY8Cv\n/Eql4i8rVk67ZssNmlevTvjNdcWY2BGpHPdoSnwoWvz9/b8PfPaz5Y8lJVczLlC+YK4jh/ngIEk1\nAXJlygNUMFdiIQjAARxEkX6hUosQoFysHAC8972JsqDZXpryMBdo+rtmKrB12779/mxvUUNpD6IY\nKLRgfuhDwD/6R1NNMsDkePBreRVmUTDr/MtAtexqy5aMqXOm+uAkOwZgHlyyrYwvVqMWVbSWjPPn\nkwbNF1+c8jA3GiunKMxiwSy0k1Ej2jHPOvWv5E2m8kPZwkJShOzuTjRoFl7LZnDb4iKeOTzE7ama\nmYX6kHGgs0qJtUw+xlQtndkoWcfOz+23A//m3yR2uvTYCk0uFQ+UnGuzq+VzsDMj8ccUw9dX36OM\nlAzgSMDQMZXsUhOFFeYamGnJMDUwA1MNmrpiTBx7pYfwhYWkWe7wMPlzS4q/XCkZ6nW2s2NHYWZs\n8p5X5SGjJo59wQwkhefV0WgqXgvAkUorXzjpBVHIkgEkXfjPP59MylJYKaMwp9FNRs+zWvxtb094\nFjMV5gbUBaDEgnnffcCv/qr2Z8mpF7myq6WHEq1/GTA3SuZtLrJoyZi6KctbicBUwdwzdItfjyKs\nygqzkletov133nxz0pn9zDMT3dkmb2wtarysMMdx8r6VSXyoEbV5CzAkDqgFc/pQBsz4bNYR9yim\ncEoPN3WfswfTKK4fzxFfpWvGnbrxhGGSjS4n2NiKlQOSna6dHeB1rxt/aeYgJvk1+/2kKLp2TdvE\nLD9ozRJMdOPXvVGYDeuBq4J5ag0FJgfVSB5mQK8w19JUKoo/sX5XsWTUROmUDCnKtFGFGZiewrm+\nTrFyTbORKrXagjkIkgVGnf5TdJzsDMQ42VEc4zDWjLnWIFsytB5mtfiTMiVdKMxAvQumfKPN4/te\nkyIEtTdlINP3l+X545w3m5JhKDonFi91W08tmA2WjG3lYUP2huvQWjJuuSXJ/3zqqfGgGnHsRoW5\n6rmSFebt7eS9C4La1dIimG4yU+pfBd9f5YcyEXEpWzJqVuXP9Hr4o/vvx89Kuw0m1K3fA9Nn03DO\nrMTKra8Dv/u7wG/8xvhLhQWTCxeAb34zacxSRjnLfQPa+5BEbg/z4mLygCF/b4Ht8saa/hwozKZY\nOe2aLRRmzpM1VJlUqJ6z2vzemhHsrtXS3DnM8udS6o1oVGEGJn3M0g5joSi+GiGFGZic0gQkv0+f\n/upSZUTTn9gez9Nwt5Eed6bCLBd/Sle8FwpzBrJ1wGhLkZAjBMt6mE3e0hHnCNCMN9Z0zqYebNTr\nNIclg3OObcWKpA54Ub9f+17dcktSDLz88sSEqUZj5WQPmxz/VMaPWxO6gjl3018ehbmOm4wYoiRZ\nMup8+Bf8xMZGruJeVeWNdildN77N3oL3vz/pQ0kpfM5uvz3JFH7lK6e+X+5hUZtwVXJ7mDud6YEv\nthqyDBT2MNdA4ZQMYZ/Z3k7On5Qjrtsxq+1+KQseUo3hTGE27Za1SWHWpP5kJf4AzZ6zzRzOAB1e\nFcyi8c9YMKve0FRhrlPJEgvmtZyRckDSWHNxMMDVWR5mcYySwpzZId2QUgrUu2DKqRd5mv7WUgsL\nkDHoRLWxcJ47WaQJOwaQHSs38ZpiRLXSBCHQDS7ZS9W8UPo5WZYMY4KKeJ2trYkplgFj2tSHWooY\nxo4WTCUv1WnBrIuVm1Uw57RL1bL7IwpmyZKR9fCvTRKokUXpcwxkKMy6RklbTX8aCgsmt98O/MEf\nJA2ECrJdTB1Vr5LbwwxMCwA5H8waHY2dx15WI4VTMoTCrPGaN64wy5YMxx7m3CkZvV6SKa+572R9\nRmpTmJXUH5fnrGwN4FXBLKLlMhVmtYM19Urm9rDNQKjFLw2HODVjMpbgXK+HHw0GuDQc4rTu76i+\nv7we5qYtGTUVzCtKFN8shVmeYKfaEI5+qKJiDQbJeQxDJ8kiQPZNZuJ9Yix5IBIPdzkU5uuj0YR/\nGchu+sv8d/7hHwIf/ejEl0xRTLXdkDc3k0EQykAJV01/4hzLOxEHJlUmY/cnq5ms8oPZ2bNJL8Wz\nz453A5yr8oolI7fCnCOKz7YfFzAUgHffDXzta8CDD059vxwrOsuSIQpA+d9rnMynK5hzKMyNNv1Z\n9jD3GSuWkiE8zM8/P+U1N3mYG1GYHauluXOYGZv8bOa1ZNSpMMdx8p6dOuXUxlIWrwrmk90uXhoO\npwY4jJG3ug8Pkwuk38+8mIu+KVu9Hl4cDvHicIitggXzxcEAZzSNhAAmF8y00AcwM7qqUUtGTQum\n8J5HnM/MLgUmLRnbSqPbmAqKjG3ft/bBRt4NuXw52V5M6WkWwG3Ng0aWhznzYertbwceeUR7/FMF\nc10PGKKBTR5Z7FBhZoxN3Wi0FgPdNqaUiZx5k6l6/LffDjz5ZNKgmQ5RasKSkZeppr8oyu9hzhPF\n19Bns/A5e9e7kgznd7976vtlS8a1GbtlHc01Zhw0oj5kKCkZTpr+2mbJ0KVkvPiitjlT1+jZiMLc\nBkuGbrcs6zoTfV6SJWPWdMTK5+3EiWQ34OrV5Lru9ZwOLimLVwXzWcnaYLRkKBcyUG8U01a3i0tC\nLTYVvwrn0vGzmQWzfCHnbPprqnkNqHfB3AhDXBkOx3GAs/zD8shnNUptjGECG5DjnDX0kGEaaa29\nqcnXqpKJvKi5cegU5oV0wRlpbjJlbqS681bbLsbZs8mN7eLFcVary6Y/YDrFQJvIotoLCvQXVD5v\nd90F/MVfJOdNyhTOeshoaj0ADLFyedRSx6k/hc/Z6dPJQ4pmZPFqgaY/YNrHnNuSUcD6o/15FWmb\nh1m7E3DmTLJ2PvNMboW5lrVfk5LROkuGSRXWNN8BFhRmOfEnxwROgArmypxNC8+XhkOc0Km7ssIs\nLTh1qjJb3S5eHA5xaTDIrTCvhCE6AL67v48LpgEBssengCWjMXtBhh+36EW8GYa4klpp8kxGXOh0\nECO5uWQqzCXivprySQIFLBnApH0oR8GsOw+MMa1P0viaM2h0G/PcuaTwkxVmh/YCYLpZRlsAZijM\njRd/d92VDFC6+eYk7gxubSy5BpcApc9Zkw1stfWwSB7mPOuZ+vnUNv0BpRu/bSvMTYo0hVMyer3k\nQfKLX0zy5SWseZgvXwZOnHCqMBtTMnSvt7l5lFhk83N59mziNVcseaQwN4hQan80GOCcTqlVw7El\nlTZ3cP0MFoMAXcbw/YOD3AozgHHjmnGBVbtI88TKNaiW1qkwb3a7uDIa4cWcDxmMsbHKbEwWUbcw\nc4awN67KKwuXSKvItGQoBfOCZovN5P2WM65lymxvN3qTEQtmSywZwLQyo01kcdn0t7oK/NiPAT/1\nU+MvOW2UTB8wxATQ3E1/eW/MDVkyak9JkiwZhRVm01a5WjBL6p+z0dh57WU1UTglA0hsS//6XycP\nlxKmh/9aIvjkgrkFftyFdB2TJ/MaVWG5YJZ6Z6wozErBTApzw5yVCuazumJVVu0kW0OdCgOQ+Jgf\n393VN/AZ+MXz5/HzWWND5YK5yBZmQxeUyfdd1pJxdTQqZGNZS33MuS0Z0jnLusHYjuITMXbatArx\nfmsUZnWLbVtjyQASBUtXMJf5d5qimGp5KDt/PmnOkcYNu1RLgcnzLI5j6t8qF8xRlNtbWtt19qUv\nAR/5yPiPLm0sAWPosqMEl1xDhTjPLQA09dnMnPRXMFlEbfojhbk+CqdkAMCrX538ev/9E19u9OF/\naysp/IBk7T550qkfN+x0ECjvl1EVPnEiUcUBuwqzvMOYY2op0M6CuVwYnSPO9/t45vAQ26MRzuus\nDWtrwNNPJ7/PeTGUeVMu9Hr44rVr+Ie33JL77/w3s763jMLccAOb7nXL+CSFJePSYJD7IWM9TcrI\nbclwrGIBeouBsQjY2jqaUqUWzEGQq+kPSLOYa7JkNNr0d8cdwD/+x8mDTZpv2waFeWIEu+46k9NM\nxC5G+n7O3P2p4/iVn9HNaPS0+ZCxkF6jMy0Ze3uJnST93LuwS9VpyRMJPpxzXIuiej3M4pyNRkli\nkjwa23D8jaVk5I3IrJFZHmbt5+mXfzkpAqWppYD+4b+2h4vTp5PCD5hQmF0Wf+JzKf59uRVmWx7m\nc+eAH/4wqc9yNDAD7SyYvVKYb+j38cJggBgGa4O8za00ztV5Y35VupDdubhY6O9lIl/IBZr+fBhc\nshoE2I8iPD8Y5FeY0yxmY6ycTmHOkSxiu1HSWKCLRZfzsUohWNAozOpYbEGdlgztNmZdsXL33gt8\n/evA978P3Hrr+PVcNv3JHmbjEI4TJ7SeP8BN5KPrhwxZMTWeM7n4K3DOmlJLZ6UkFXmf+p0OFjod\nXI8ivDQc4uQMASC3wqy7d6XHNeuc2Zz01+T62S+akgEkaSa//utTX9YVY7U9XJw5c1Qwp2KHa3uB\nmpSRy8MsjRPPOv7aUjLCEPjKV5LhWcj+XAJUMFemwxhu6vdxb1qwTiFbMiSVtu4opp85cQKvWV42\nJ16UQVaYr16duJDbopYC5c4XY6ywjUVECBotGTPycZ09ZOgsDbrztbWVLLq7u8lCIj18mSwZugcH\nUxZzmX+nbluxthvk2loS9Sj9W2c1/QVNF3/SeTZOlBT50UCxgrnBrXKnDxnSjdmoMGtyagUu+gvq\nPmdb3e64+XzWepbbw6yZhCZoXP3T0DYPc9Feo0YbmIXYMRwmOyjr687V0qn4wiyF+fLlozzkHPaI\n2q6xO+8EPvvZsd88ZAwRMOG9lmljweyVJQMA/r8HHjD/T033KjBbySo6V/zdW1t4d3qh1cbGBvCD\nHyS/f/nlseJ4HGLlAOCmfh9funYN70jfk1mc6fVwaThMVJy8HmZJYdbZFAALOcy6glN3fYlF99Kl\nCTuG+DkxT+LixGS/61GELc0D2pJh2l/ZlIzGfH8A8IlPTPzRtVoqF391Ksyc88amcM5SS20ozOJ6\nO4hjfcFo6MQH3BR/de8wbnW7+M7eHjbCcKY9QacwayeXrq8nmdtA7nMmdtGaeLBsnYe54Ov2NA/j\n2kmeZRAe5kuXkvWB6Yc+ydiyZAgGnGMtaz2T8pCBo2uMcz7Vb1ObLe8tbwH++I/HfnPGGAKYd3mo\nYK6BGxYWzP/z5MkjX6jy9OQquzQ3ssIgbdG72MIE6p/09IqFBXxlext3ptFvszjT7eJiquJoJyqq\nHuYWZFfrcpiNrycK5meemfLfMcbG0XIr6ftr8nIvKwqWoDZLRp3X2DvfOfHHrKa/yIUlQ1fIiOKP\nTzavAeZ1JeJJo+esvPEyuH7IWJOa3oyDSww+ScBdrFxdKUlA0vT9jZ0dfeO5gs7DvKkTAEoozE09\nYADuPMyHNd2ne4xhkDdqrSi9XvKA8+d/nlhC4D7xQY3IHMQxelkPs1JaBZCsVWISp7oK1nadffCD\nwHvek+wypohdTd0+TWtqMwmvLBkz0XSvAu63MXOxuXm0YEoKs3gC0+HLaGwAeF1aaOQumNMhNS9m\nFcz7+0lyAeC8qxzQF4BGhfbMmSRmR2qCkFF9zKZ4vVotGZrz5mKUOGA/JcOoMHe7iYVke3ti1wrI\nKGQaLCrqTvwpihyrZhxcUkFhbkqVr9uS8Y3d3XwFs6IwGz3Hcg5/znPWVMMf0EKFuWCaSVcjXhjH\nkpfhttuAz31uLHbICq0O25YM47Vx4kRSXygFM5C9ntVynS0tAffcM/WaLu8BRTmeBTPn4+5VwP02\nZi42NpKbzMFB0iW9sgLAoR+3Rg8zALz/7Fn8s7vv1iY96DjT6+GZw0Psx7G+wTMIyk1HbIsl46ab\nkoL5iSe0BbOalGHyci/XbMnQNi02dI05b/qTUzJMHmbgKIrppZcmbjKmB/EmiwrXNxh5cMeeycNc\nsmB2EStnbCbL4Eyvh69ub+tnAShoUzJq8jC72GF06WGurDDX+YBx553AJz+ZDBXCpEKrw7Ylw9hf\ncMMNwHPPFSuYG9zJmHUPaLqPpSjHq2BeWEi2S7a3c9saWlMwnzqVXMRCXWZHHdKmxIemfJJA/Qrz\n6V4PP5eVQ61wttfDn1y/jhv7/ekMY4GaLCJymJGhylt+yDAu9N1u0i386U+PF10ZdQE0KczqDVlQ\nZpGzrjDPaPqz4cedqTADk9uYkt888wZzTFV5eWz9jqkhVzz8A8UsGR7EygHAXUtL+P7BAe7JsVum\nTcnQvd76ujZWFMi+zpoYiw20T2Eu+mCjs8fVmihy553Ad78LvPa14y+5FObUYVfGgvncuaQ2evrp\ncR6+oHGFWYPpsxlzDoZmbG1VOF4FM3CkMksKsxeWjAsXkpxCyY4BOByNXbOHuSh3LS3h6miEV2ZF\n95WdjmhTYc5SZO66C/jqVycWXYFqyTB6mDMsGaUUZp0qYzm6EHBkydB5mAGjwmy6zpr0ebpey2RL\nxk4UYUV3zoS9QHTi51jPYs4R3/pa+AAAIABJREFUoZkGtroLmQfS3b8HpKLWhG6cuPY6k9eyy5dz\nnbMmFWbTTkaT11hWrFxRr3nPsFtW2/3yZ382+fXNbx5/yeVnc1E5d0a7VBAkQ6S++MVxvJvAlcJs\n+zqrwvErmDXpA1nbmGWaPhphfT3x437nO8kFnTKz+HOQw2xjm+RE6lu+JavJM2M6ojGHuWlLhiZW\nzrjY/NW/mgzBeM1rpv6XugAaR2PXaMlQF/yY86QJxPJDGdAiDzNwFMWkDJjJKphtT+AELCnM6eAO\nwPwQN/Z97+xMbf3OOmfG3aQKZE76K3HOXr28jM/edx/etrk583tVhXkvirA0y5Kh7GSYJpc2upPh\noOmv3+ngMI61PuAyKRnapr+6jv3uuxPr54UL4y+53MlWdyT3TQozkNgBP/e53AVz01553WtSwWyL\nm24CHn88yXz1yZLBWFIof/nLic8oxVmsXNaCael8ffOhh/Dfp1PhtJRUmG0qppmK9s//PDAYTHQN\nC9QgetNobJPCXEYVUM9bk4Uf0BKFOY+H+ezZZKxrAUuGbasUYFFhliwZWoUZMHbju1CxAsYQI3kA\nVClzzhhjeMvmZq7tYq3CrPt3rq4mMZmjUe4Hs0MXHuYG1/+AsUzFsbCHWfk5TRZ+gNv+AtXOYrRk\nAEms25UrwEMPTXzZ9DDe+E6Gw53songXKzeT224DPv/5pHBOT7jrzvLcXLgAfOlLwE/91PhLszx/\nyzmb6Ipi9LDFMboNvabKPaYBNQK5YL5yJblJo10PGTMVbUPBIVsyOOdGNc/kYa6j6a/JIka8ntOm\nvzxT64CkKfOZZ5ImTcn3l6mWWm7GBewVzN+bZckAjlT5vAVzgw9njB3l5MqvIQroJnfMVIXZaMno\ndI4Gb2msP7ods6a98tpru8GHQeCo8FM/P0VTMkwK83qD65nLOkONlTvIspi9732JwFTEkkEKM4Dj\nqDDfdlvSvZqO3wXcd5bn5p57gD/5k2SMcMrM4u8YKQyFEVF8nOcf9tLgh1/XmV32fMkpGXtpZ32o\nea+XlRtylddVF/wm/d7i9Vx+LuUM60wP8003AU89NRUB6EJhdv2QIVsydkyWDOAoNjGvJaPhQkx3\nY7bSWJpXYQaSh7EXXtAqzLrPSVNjsQE3TX+AufGvVEqGxsPc1PkCPLJkvO51wD/9p2NBUWB6z4+b\nV74Kx69gvvfepIh68MHxl1w3yuTmDW9Ifv1Lf2n8JRdd5cCMBbPBRacQQmHe20s+/GnXept832XP\nl7wAmuwYQHJDrtOSIR//sGGF2bW9QC7+9rIsGa94BfCnf5pcX2nDFzCj6e+YWzJizrEbRVgyFcw3\n3gg8+2x+G0uDN2Xxuup5s5XEonqYjdfZ+fPA889PnTNjIXPMBpcA5oK56Htl9DA7smQ03Suls2QY\nrzMDThRmgyrfqrpMoiWVT4089BDwN/5GMlEmZdaTX2sU05/7OeCb3xxPDwLaZS9o+jULI+KriiSL\nWD5nZRcbuWA2NfwB0zdkQdmmP/n4D214mB02sK2HIa6mftztKNLG9gFIIqSeeUYbut+WfFzA3kPG\ndhSNCz+jneHGG5OM8e3t/B5mywqzjYZvncJsfMg4dy4pmC9eTJrXU0zvedNxXy7Wf1NSRlE13ehh\nblgAcKowK9eZUWE2oBsnzjknhVni+BXMjAG/93tJZFeKN5aMIMh9UwYa9kpmeZjbcr7KFMyWVfmy\nN5ilIBjfaI1pBKg3Vk61lBiHLNSEa7V0PQhwTSqYtZnCQBIr98Y3An/9r0982dSw0nQSi+tYuetR\nlO1fBhIbyx/9UfKr9H1ZDxlNKpe698qFwpxpyTh/PmlY73aT1KQU0+ekyQLQxeASwKwwF7U5aRVm\nC01/bbFkZDb9GehqLIUR5+igOZ+/6Zy1qi6TOH5Nfxpc32SqMMuSYTMiDWiZwnzmTKLGSENqAHMM\nE5DcmJezbvQVMMXKlSkE5Lzb6zMsGXUNLukrYf9NF8yu/bjrYTgumE2DYcZ84QtTX3LR9Of64X8j\nVeW3ZxXMt94KfOUrwDveMfFlF1F8gL7odOJhzrJkXLgAfOxjU5M/u1m2q2OmMGd5mIt8prQe5gY9\n38Dsz6bN81bGkqF7z5tMYhGvaVoP2liXHT+FWYPrG3MVsoo/JwpzmzzMYtiLpklm+vaSYNtfWvb1\nVqSC+cpohE2D+lln018vzUEVGKeS1YTrpr/1MMS1HCq+CdNi3+hwHMfnbKvbxYuDAS6PRuOsdC0P\nP5z8+pM/OfFlF7FygN4raWO3TFaYOefZCvOrX500fSu7jFnNWI01/Tn0MB8aFOYiDwdzpzArKRn7\nUVSLJcPGOZsbSwZj7ARj7FHG2BOMsU8zxjY033MjY+zzjLFvMsYeZ4z9vSqvWQbXYf9VCNLiTxfm\n3uSN2XQht0phFgXzc8/lDpC3HfZf1gKyGgTYkQtmQ3Fiavorow73GZssmBtWZFxbMlZS28sojjN9\n4iZcJD643i1bCQJEAJ49OMDJrPO1tJQUf7/0SxNfzrRkWL4x21jLFiWFecA5Ooxp024AHE38VB4y\njB7mBtcysQWvxtm5UpiL+mhNCvNx9TDL541zXmrt1lkymlbl5y1W7tcBPMo5vwPAZ9M/qwwB/Arn\n/FUAfgzA32WM3V3xdQvh+iZThQ5j6ADQlfuN3pgN3atF8zAbZXMzGVDz3e8Wa5RsaAHQxcqV9Wau\nSAMirgyHRoXZ1PRXRh3u6xTmpgtmhw+yHcbGntztWZYMDS6a/lxbMhhj2Op28d39fZzMUpiBJO1H\nyVLPeshw0fTX9G6Z/PncN035E2xsJGvZ3/pbE192Efc1fl3Lvu8sD3NVhdnK4BJH65nsYRZrf57B\nOjJaS4aFLH6fBpdUPRPvAvDR9PcfBfBu9Rs45y9wzv9d+vsdAN8GcF79vibJjHtpUwFowFk3vuHJ\nrzUKM2PJVMQvfCFXPi7QrFeyTkvGak5LxmJa5KpKUBmFoad4mA8cN/3ZGMG+kfqYr2c1/RlwFivn\neLdsq9vFd/b2ZhfMGrIyhW3HyjW93QwkD9ER5xjGcbYdQ3DHHUnTn4TJHmEjWaTwIKaK+KwwO2/6\nkzLli9oxALMlo1Fb3pwpzGc45xfT318EcCbrmxljNwN4AMCXK75uIXz2MAPtujG3ypIBAPfdBzz5\nZDLuM8VVo6TYah1J563sDWZFtWQYijnG2FSkEFCTJaPhxbINn0vR+JcZK2fAhVrq2sYCAKd7PXx9\nZwdner3Cf9fFsBcgoyHXgiI/juLLipTLwJiS0bTCrLOYNXzO+oxNeHEFdaVkuLAXAHaV+cwpfxno\nLBlNX2O+eZhnSiqMsUcBnNX8r38g/4Fzzhlj+qsl+TkrAP4fAB9IleYpPvShD41//8gjj+CRRx6Z\ndXi58GY0toE23Zhb1fQHJF34X/zixJhPV5YMILU1cD7+YJVWmNObLJDtYQaOtn1XpK+VKphtWzIy\nGtgiiwXz1dEocziMCRcRaW14yLjQ6+FTly/j1xYWCv9dF8kigDtLBiAli5S4xoBsD7PtHSBXTX91\npWS4Glxi05JRt8LsolGyifP12GOP4bHHHqv0M2YWzJzzt5n+H2PsImPsLOf8BcbYOQCXDN/XBfAv\nAPyfnPPfN/08uWCuE9e+v6q4uDF7MbgEAP7m3wTe//6JMZ+uLBnAUdEpouvKbgPKCvPVDIUZSEY8\nq41/Zfx6qiXjuDf9AUkx8/ThIZaDwNyMZcDJzk/GQ4atKKZ7Ul/yLTUWzC6KGVtrmSiYd0o0lgIz\nPMzHTJVfDAKzJaMGhfnYWjKklIwyGcxAqjBrHjKaFk1sFcyqCPvhD3+48M+oeiY+DuB96e/fB2Cq\nGGaMMQC/A+BbnPOPVHy9Usyc9NcmxVSDi+xSLwaXCJTjycxhbvj4VVtD2fM14WHOaPoD9I1/ZYpd\nrSXjGDf9AcDZXg9/sbOD0zXbCxqL+2rBQ8abNzYQMob7V1Zmf7OCMYrvmMbKAZJPvqzCnOVhtq0w\nW/AwmywZRf6tuuKv6aY/lzvZU5aMkgWzuh5bafpre6+URNUz8ZsA3sYYewLAW9I/gzF2njH2B+n3\nvAHAzwN4M2Psa+l/P13xdQvhc0oG4Mb3542HWYOr6YjAdJZx2fMlj23O8jADaRZzHR5m2znMLSj+\nbuz38Wfb2zhdsoHNeg5zC9ayB1ZXMXzTm0r5JOctVg5IJkpeLemTB2ZM+mu4ALR9zjKb/ooozBo/\nro3BJS6b/vao6a9xKk3645xfBvBWzdefB/BX0t9/EY4HpBxXS8bcDy4xEDI2lRohaFxhTj3MgrLn\nazMMsT0aYRjHuDzLw2ywZJSJlZunSX8AcENaML91c7Pw3zVmlTdYyIhzxjkHU17D690yF4kPlj3M\nA87LWzIMReRx8zAvdjpjK5pMUYVZtZeNf8Yx9TDLO5J7s+ILDWhV+YYFJt+a/tq9utaEfJNRaesb\nI+NEYfbFw6xhZtNfw5aMgaIwl1mkO4zhRLeLFwYDXB2NcCpH059MmZtpT7VkWPCvuX6QvbHfx24c\n47bFxcJ/10XcI2MMAeCVKiPj4pyZXte2h7lS058LhVkp1IUI0WTco9GSUfC96mkeMo7z4JKV1Ps9\niuNkamlND2Y2ogt9WsvmomDOGv7R1jdGxuTJtT3mGWiph1nBpSVDtTVUeag51e3im7u72Op2M29S\npqa/OiwZZbb28tIGS8YdS0sAgFcpAzbyYPIsNn6TsdgoUzetipWz7WEu2/Rn8jBbVphtnC+TJaPo\nDoROYbYxuMRVwSziC69HEbajCCslHsy0lgwLNpZ5GlziDb69MTLOBpccQw+zL5YMIBkQ8fXdXZyf\n0ZCmbforWTDbtGS0oenvpoUF/G933IH/aGur8N91kV4jXtenbUyZNsXKNa04CsbRhVFUv8JscQfI\n1ijx2gaXWFaYTZ/LOP1a0cl7RVkLAlxP01jKXmfahwwHqnxb17K5KZh9e2NkTJ7cRkdje+5hbovC\nXOUmc6rbxdd3dnCu38/8PmPTX8HXnbJkzEHTHwD87fPnsV5C+XORXgNkT+H0YS2b11i50ikZJg+z\nhc+nai9reu1f6EwPYQJKjsaW3u+Y88aTF1zXGOthiGtRVGved9PXmG8P/+2ufGrEZkB23Thp+jum\nHuamu/HVaLYq2/Nnez18dXt7tsKss2SU2EqbsmRY2I5z3fRXhSx7QeNxXx7vlpki0hotZnSJDxYt\nGVdGI7w8HGb2IphwNelP3XGycX3pLBkR54hRzDutKsxiHVYbZevEdY0hFOayOxlaG4uD3gKgvWvZ\nXBXMpgKwjW+MjKv4Kp+e/GSycpib7savc1renUtL+O7+/nhQhAmTJaPoQqfaSQ4cTvrz4TozFn8W\n1FLTTab4bdIuWVav49r0d77fx/ODAS4Nh6XyvrNymJv8fKpFpytLxrBEsasWf2WHeRTBte1zPfXK\nl/Uw6+751I8xSaVYOZ/QvTFx+uTa9qcG3WLPG95iMt7YPG/6a9pfWmfR+UA6GOLB1dXM71vudHAl\nzWwWlLVkDGoq9vPQFktGWYwT2Gw0sHlql8o6Z8c1Vu7Gfh/PHhxgOQhK5X27SsmY6sew1PSnpmSU\nWbPFORPxizYKZteWDNH0t1MyJcOULNJ4059HBXO7V9ca0RVRUVpwNrlNUwcmdSRs8Ngzb8oenK+s\nHGarCjPnpRfqn1hfxxfuvx+vX1vL/L46m/6se5gdN/1VISsf12YzlsCHz2ZW4kOTxauumLF1vs70\nergyGuHZw0OcKaMwZ1xnx01h1lkyyqzZjLGJe5gthdmphzkIxgpz2YmS1PSXzVwVzOpCPeK80UzJ\nujAVzLanPAlFvu3nTEQIxoaiolHfH6tvvDRjDG/c2Jj5ULQkTXkCjjx/RRccVVEihTkbXQwTYGcI\nh+0dp7pwpTDrtstt7ZYFjCFGsvaUHlziSmG23PS3mOYJy5Rds+WC35olowUK8/ZoVKslg5r+jpib\ngtmlwlAVXcHsYttXnK+2K/KMMaPK3HjTn2WVFkhSMuSmP1HoFn2fpiwZDStYJv8a0N4FU0YXwwS4\nia+KUv9y2z+brjzMrtf/C71eKTsG4C6HWW36s6Uw6ywZZR4MZB+zFUuGYz+u8DBfi6JSqT86S0bT\nTX++Kcxz42F2GStUFWPDiuVAcR/8ywJxztRblJWmP4sqLTBtyShbpNfZsJgH30fWZ8V9WR/C4cH5\nAvSd+IDDWDlLnu/P3Hef9t+dB1c5zGrMpKvBJWVTZ1wozC6Lv40wxHOHh3hpOMRWGa+85rPpYucH\naO/6PzcKs7bo9KQANCnMtrd9fXnAANwNlbAdzQYkTX97GoW5KEJREiPkXecwtz3xwWTJcDGC14eG\nP8Bho6RuilnDa6jMbUtLM9NuTLjKYXahMOtSMqoozEK8mAdLxvleD88fHuLFwaC2+EIbTX8+Kczt\nX2FrwuebjAt13GVXeR2YmjwZmvVga4d/WFCYd2so0juMTUTy7cUxlkp44fJyHJr+dKph0/0FPu+W\nzaslowqucph7DjzMWktGyYcpWbyYh5SMG/p9/ODgADtRhI2Slgx1OiI1/U3iR/VTA1qLgScLpgtL\nhmhUkRvnfDlfABAA1n3fgBsPs9r0V6UZqM/YWOHZjyIsNqwuRMBY0ZaJWrpgymQpf7ZTMnzZLXOl\nMLu2ZFTBVQ5zn+mHfzSJ1pJR8sFA/lkHcdzoWga4V0tv6Pfxjd1dbPV6pcZwm3ZhXDT9DeO4let/\n+1eLmvBZYdDmIzZ8IauxPIA/N2UgI1mk4UVTl8PctLKhNv1VuZEuBcFY4dlvWGEWzZk+KQwymZYM\nF7s/LT9fgLsGNp165ss5EztiahNz0ykZPWUts2Ev6zKWjLFWvNNl/p2Lklo9D5YMMRTnloWFUn+/\npzn+xpv+DI2SbX2Ybd8RNYTPHmatGd9C8acqaL7cYAB9FrMNhURVZVw0/VW5Ochq9Z4lVcanWCEZ\nY0qGBbXUV3uZq1g53cONL+s/oN/NsJGScWhZYWaMTanMZe91i50O9tO1zKUlw1ZDrniwOl8i6xtI\n17MaMrCLkDWBuY2fTUrJ8PQmY2PxmlKYPTlfgKFR0sLxyzeZsnnIRVEtGfsVCl25+G7akgH4PYLd\npR/XV3uZTukFmhcAfFaYgaPPidAOY84bP37bkz8FomBeSf9c9l6nWjKOe0oGAHzjwQdLNfwBBktG\nww9lWQ8Zbfxszk3BrJP+2/qmqJhGVjauMCsfIF/OF+Bm2Aswackom4dclGWl6a+KlUIU3zHnGPDy\nUwrzYio6fSiYjZYMCwk2vqqlWX7cphVmdTfAJwFAtxb3WLOZ+Kq9rOniSaAmZVRSmG1bMhyvZfeu\nrMz+JgNaS0bD/RhZHuY2rmd+rBY1YNzGbOGbomLKR2z62NUbsw9FjMDFsBdgUmG20fAHJO8T53y8\nWO9VUIaFwryf3mCaLvZ9V5jlGD6BjdHY3q5lJksGKcyZqOet6UIGSGPlFIXZRgyfmpRRdt1uk8Ls\nw3VmsmQ0HS1KHuYWorVktPQpRsWUj2jdw+zJ+QLMFpzGbzKMTRbMFj70jLGJxr9KloxUYd6PIixZ\nOHbX07Gq0GEMHUw3Y1HigxnTjoLtBjbAr/VMPW9NFzLAdESmLYW5Ng+z1MA8D7FyVdHt/jTd9GdS\n5dv6MNv+FbYmfM5h1lkybNgL1G3Mtl7EOlqhMFu6wQCK97iKJUNSmBcbTMgQ+Nz0B5i3+hv3MCuv\n6cv5apPCbEN0qIsphdnGw79ybdtQtYGk0JUL5rL3unlLyaiK9jNioenPJw+zH6tFDZgsGT5cyMYp\nVRbVUsCfBwzAkFVr6SYjT5eyVjDL6RZVLBnpz7GRkAH4bckAMnZ/LG9jtvUGo+IsU9jkYfbgnAHT\n563p8wVoFGZLFjOdJaOOHOZ5aPqrgotJf0ZLRkt3f/yofmrA9+lY2lg5i2op4M/5AvQNDAMLx696\nmJtepAVy418dKRnWLBktaJSpgrr7E3Pe+LFrhzC19AajkqkwN9305+k5AwweZgtr2YTCbEmR11oy\nyirMNmPlPLaXAfomZmdNfy0V59p3RA2hVWU8WTBNg0tsb8n5cr4AN5mSgMbDbOl8yQpzHSkZtiwZ\nWQpzkyPM60JtyBUPlU02S/o8uMQYK9fwetbTiA6+nDNA42G2YPdSR2PbULWB6ZSMw5L3nUVSmAvh\npOnP8JDR1s/m3BTMPo/GNuUjNu5h1lkyPDhfgDtLhqyO2Gr6AxKFWXiY60jJ2Itjp01/vlxravFq\nJR/dlJLRQkVGJWvSn3WF2ZNzBjhSmJX132ZKhlowl3l4l60d5GGeje5B3ErTn2H9b+M582O1qAHf\np2PpYuWs+HF99TDrLBkWFHK5+c5m099yEGB7NAJQj8K8G0WNjsUW6BbMmCcDX3xQmNXdHxsPZT7b\ny3Rjnm3YWLxXmJUHDRsP42pDq631TPUw75csdtWUDBtjvX1WmHUNzDYy5cnD3EJ8bpQxDi6x7GHz\n5XwB5tzVposZ2RphU2FeD0NcryNWLi34r49GWHdkybBha6gL1ZLhYgIn0N4bjA5dRFrTQzhUewHg\n4TmTrzNbDcya96lpVIW5rDos/5zdOMZKw+uZMfEhjr0omLuMJdNpleusyXuYb6Ox56Zg9jqH2ZCS\n0fSxa7ukfVGYDTaWps+ZnIds08O8FgS4nirMVVMydqMI16MIa2Hzg0C1Y549+VwC+kKm6V0Yn0dj\nA26Kv2MxuESxKdjIYXYxGlv1MJctmOVYuZ0owrKFgtmn4k+FMTZxz+ecW2n6o8ElLcT36VjalAzL\nCoMtD1sdmFS4po9fKLSc89JbiWVYD0Ncq6PpT1KY1xwpzL5MxgKmd39sqHA+28sAQ0Sa5d0ywK9z\npm6XW1v/Lb8mkFoy0rUMSArmMgKAnJKxa6Fg9t2SASTnXtzzReN1k9a4rHPWxnuAH6tFDfh8kzGm\nZDiIFfJGYTbYWJp+v4P0Kf0gjrFnYZEWyArzboVIOGEpsaYwGx5kfbnB6FIyrEzg9PThH5hWLl0p\nzLYsBnWga8Brei3Wjca2lcNctyVjJ4rcWTI8qTOA5D0X58yG4EOT/lqKbrukrU8xKq4SH3SWDF9u\nMC4aGARCpd2NY2sF83oY4lpaMF+PIqyXLHaXgwA7UYRro1Hpn1EEn8c8AwZ7gYWUDF/tZYCbZBHT\nREZfzpkLP7Gr0dhNWDJ2owjLVPzNZKEzOXir6eFV1PTXUnxu+jOmZNhWmH3yMBsKMRtbisLHvGdp\n+Acw2fR3fTTCaslC/US3i8ujUaIwO2768wGdJaPpY9etZT5t+05ZMlx6mD1Zz1zs9rkaja2mZFRR\nmPctKsy+FX86ZIXZZRRfWz+b7TuihtBaMjy5kI0pGba7pI+DJcOGwixFs9m0ZAiFebuCneJUt4uX\nh8PEw0xNfzOZSsmgWLmZuMquHnAOrgoAnpwzF7t9Lkdj16Ewr6TCRZz2kzQdk5lpyfDkOpM9zDYs\nGb7l8PtR/dSAz1u/ppQM2wumT01/ujGfNpr+gKMx1XsWFmmBaskoqw6fDEO8NBySwpwT9fhtXGPG\nlAwP1jJAk/hg4SEjYAwdYOLmbKuJrQ50DdhNixdh+vNH8VGuvI3ztRgEtRTMYtdNpAZ1LDTj+qSW\n6lAV5qYtGR0AMTARZQe09x7gx7tYA8fOkmFJYVbVM58UZt05s7FwTSjMls7XWnpz4JxXsmSshyH2\n4xgvDAbYcNj058sNxkUDm89rGeBGYQYmfcwx54g8OmeuEivkc2YrVrSuwSVrYYjro5G1XhLf1FId\nssJsw5LBGNOvZy3dZfTjrlQDxpSMFr4pKi5TMqYUZk8KGZMKZ01htjgtDwDWU0vGXnpTC0u+T4wx\nnAhDfGdvD+f7/ZqPchrv7QWaiDQbsXI+N/2puz+2ij859UHslvkwHAdwl1ghp3O4Go1dxZKxE0XY\nHo0a9y8D2YNLfPls9tOEJwDYjyIrsag+7f6374gaoqtr+vDkQjYN4XCRkuGL58/VaGzgKCVjz0FK\nRh35yUKd3up26zi0TEw5zN40sGlSMhofXGJIzfFhLQOm12JbyqU8HtunBmZgOlbOZiayKKBsxYrK\n01KB8gVzwBiWggAvDAZW1mHfB5cA0wpz05YMwCxmtvEe4M+KURGtp7Wlb4qKq+JP15nti8Kse79t\n3WSWO52xwmzTkrEbx7g8GmG1opVCFHxNe/4A/5v+VEuGjV0Mo+/bk8+miyg+ILUXWC7+6qKnWDJs\nFfxLQTC2R9iyzogeEEEVa8BaEOCZw0OsW+rHOE45zDYsGcD0eeOct/Yhw493sQZ8jhXShu67SMnw\nSJUx7SjYzGG22fQXMIZT3S6e3NurfHN47+nTeNP6ek1Hlo33TX86S4ariDQ6Z5l4rTAra7GtYkZW\ne22dM2GlEFRROtfCEE8fHOCEhd0yITD40sCmQ85h3o9jLNpS5qVrO+IcHdgRbIriz4pRETX+CfDn\nQjYOLnHhYfbgfAEGVd7SA5LsYbZlyQCAM90uvr67i9O9XqWf8xs334zHHnigpqPK5jg0/dlWS7Vj\nnj1S5dugMPtkLwMSS8ZAKZhtbJeLh38gLaAsrp+CqgrzUwcH2LTQwAz431/QBoW5zXWZH3elGtCq\nMp5cyCZLhhUlS7Fk+KLKuHrIABJVZjeKsGPRkgEAZ3s9fH1nB2cqFsw28b7pT+PHbfrY5cJP4Ns5\nU4e92FKYxw1sHq1lwHRKho2MXCCZlicUZluKo05hLvtvXbeoMAP+DxWynZIBTN8D2iyYtPOoGsDn\n0ahGS4Zlhdmr0dgOm/7EtLwro5G1hRoAzvR6icJs8TWrorVkePIgC7ibWneoK5hbepNRUd9zWztX\n8j3Ap8QfIPUwu7BkpB7mURwjspUylAoOQJIBHVcoOE92u3hif9+qwuxrGhcwqTDb2lFQdxnbfL78\nWTEqoiugfLnJGAeXWPakNBLpAAAcoUlEQVQw++T703qYLTX9bXW7eHEwwNXRyNpCDQAX+n08ub+P\nGy3EwdWFcQhHSxdMFXVdsVHI6B7+fVKx1OO3FisnrQk+TfkDplMy9tNhHE2z1OlgL47HxZONGD5R\npMec45BzLFR43Rv6ffzg4AA3WFoTVT8u4E+dAbREYW6xYOLHu1gDPm9jmvy4Nib9ubix1YHpIcPG\n+32q28VTBwfoM2Z1obx/ZQUA8Jr0Vx84DrFyqre06ZuM6mcF/FnLAL0lw0bxqirMvjz8A9O+dZsK\n814UWW1g7jA2toJU/XdeSO1pNy8s1HV4mfjexCznMNssmElhbhlq8Qe0+0lGRmvJcKUwe3C+APPC\nZUthfmJ/H5uWrRFv3tjAf3DyJF63umr1davge9Of+mBmoxDT2ss8WcsAQ9OfrZQM0fTno4dZVpht\nNf0JhdmSoi0QPuaqwzPuWFoCANy2uFjXoWWiXc88+mzKCrM1S4auYG7pZ7OdR9UAPivMAWOIkeQT\nCpx4mD26yZh837YU5heHQ5yyXDBv9Xr4+KtfbTWZoyq+N/2p15kVS4bJw+zJOVMTi1yMxvZRYXbh\nYV7sdLBvWWEGkoJ5N46xHUXjQUplePvmJv7VvffiJosKs6+9UoCblAz1HjBq8fnyZ8WoiFZhbvGT\njAxjbOqicpKS4VGjjNH3balgBoBbLC3SPuN705+aXmBjF0YbK+fJWgZMW0pcKMw+7ZYB0w9JB5YS\nK0SsnC21USCi5XaiqNJY67DTwbtOnarxyLLpHQcPc7q22IoupFi5FuKzwgxMK1k21FLt4BJPzpdL\nS4ZY4G3eYHzF96a/BQfKn+9rmav0HXlano+xcvJDkq1YOTG4ZC+KsOTAklG1YLaNz/MeACUlo6Id\nJi9qo+Qwjlvbw2Kvhd8xPnuYAcN0LMsFs0+jsXWFmK2mP8YY/ufbb8fr19Yafy3f8X3Ms3yDARLl\n0oYlw+e1bEqVt6gwH0oKsy9rGaC3ZNgaXHJ5NLKWwSwQCvN+HGPVYtJQVXye9wAkAoAcK0eDSybx\n50qsiO+qjFpY2FBLp1IyPPL96RqjbKpK//mFC1Zex3eMTX+efC7VuK8DS01/h3EMzvk4bsurcybl\n7AJ2HjKAyd0A3ywZU7FyFhXm/Th2pjDvx7FfCrPnPRnyKPTdKLLysEKDS1qIzx5mYPLJNebcijH+\nuI3G9un45wVd059PsXILqsKc5sY2ScAYOgAiTyMfdQ8ZVhrY0nxfwK8GZmBaALClMC+msXLWPcyd\njpeWDOOANE+uNXnKoq1Jteo5a/MDBinMLX1jVGRLhij8mg6RlwtmnobI+3JTNlkyfLpJzgPHounP\nssIMHN1kxALuU+qDC983kCY+yAqzJ+cLmF6LbV1nIlbOdkrGWhjieprDXCUlwzampj9fBABhhQFg\n7WFFtbG0ef33Z8WoiE5h9mnUs1xY2LrBCPWMp4p2gETd8oGeJiXDt0afeeA4NP3Z9jAD06kJPjXk\nqr5v2xFpgIcFs+q/ZgwdC+/3eHCJZUvGiTDE5eHQO4VZ1/TX5pg0FRHnB9grmNWG1jav//6sGBUR\n02RiX7cxFf+djRtMwNg4V9J200dVdHmYvt0k54Hj0PR3qGyV21SYBT7t/ujOmROFuaU3ZR1qM5Yt\ne8RS6je/Nhph3WLz3YluF1dGI+8K5p7nO2bLiiXDisKs7Di1ef1v51E1AGNs6mL2qYCSFQZbN2Xg\nSGHYj2OrCkNVdMqlbzfJeUCXl91mhUHFlcLcVyxmPtmNnA3hkDzMvu02iWMXdgwb5wsANsMQV0cj\nXI8irFksmDdThXl7NPKqYO7qUjI8Ws9WHFgy1Fz2Np8vf1aMGlB9zD5ZMuQbs80FUygMe5ZHo1bF\n1PTn001yHhA7PzI+KTJaD7ONTGHdUCFfzpmrpj9FYfZFkQeS3b7QwW7fiW4Xl0cjXB+NsG6xcBWv\ne2U0wqZPsXImAcCTa00ozDHn1nzrPWXHqc3rvz9XYg3INxnfmtjkbUwbnfgCMelpxLlXlgx14Yo4\nRwx403wxL/gew+TMw9zxd2y96zHPgJ+7TWK3z7bCfHk4xDUHCvOV0Qh7jI0np/qA7wrzYvrZ3EkF\nMhs+eXW3rM3na74KZumN8a2JzaXCvBdFiNLf+4K6cAl1uelkEaIYOuvMyCNFxkUOMzDdWe6TwrzQ\nce9h3rec+lAHIrHCVqQckGzRH3KOFwcDrNlUmNNCvetZwaxVmFusmKp0GMNip4NLg4E1K8xUA3OL\nhcz5Kpglhdm37Xk5ism6hzmOEXHutSXDR0VpHjApzL7sBKgKs63iT+4sH6WvH3ry+WyDh9l26kMd\nCIXcpj2OMYYTYYh/f3CATYuF66luF5eGQ/QZw0mPCma12Zxzjgh+7WwuBwEuDofWCmY1JaPNtdl8\nFcySwtzmpxgdchSTrW1f4EhhjgGvLBlqM1mbP4TzjO9Nf7rx8bYVZh/XMtceZtu5wnUgxIudKLKa\nTXyi28V39vZwrtez9pqnez1cHY0w4hynPSqYpzKF04d/n3Y2V4IAzx8eWrvGeoxNTP5sc2/ZXBXM\nXVVhbumbosOZJSNdpDn8smQEjIEhUd/CdAuYCub2cSya/jgHt7xzJTfK+LaWOW36S2/MPirMQryw\nHbV2IvUu2yyYO4yNI2AXPHqwUS0ZPj38C9bDEN8/OLCm7OsiMtt6r56rgllVZdr6puiQVRmrlozO\n0Wx5nywZwOQ0NFKY24nvTX8dKaucIXlQs9EX4bvC7GxwyTFRmK0WzGnhZHuH8dXLy+P3yxfU3hmf\nHv4FJ7tdPLm3N37fm0bdcSKFuSXITzK+xQrJCrNVS0a6SAN+WTKAo3O2FAReNUXNE8ZJfx5+Nln6\nexv0lbXMp4dBOfHH5phn3z3MrhTmv7a1NfGAY4tH77tv6mG67RwHhflkGOLJ/X3ctbRk5fV0Dcxt\nXc/aeVQNMaHKeLiN6TIlw7fBJcD0ONm2fgjnGd8VZuBIIbFpjZjox/BtLZMUJeHxtKHKL0q7ZT4q\nzIuOFOb3nT2LR++7z9rrCbZ6PZzv962/bhXUpr+RRw3MgpPdLp7c37eqMMvnrM07ZvOrMLf4TdEx\nlZJh6UMoFOYO/LNkyOfMNwvOvKBt+vNsG1MozBywVoTJUUy+r2W2Hv4nLBmkMBMN0FN2zHzbLQOA\nrW4XPxoMcMGSZ12NlWtzT4Zf72RF5IvZp1GygENLRrpI71mcLlUXarJIWz+E84yu6c83VUbsZNgs\nwmRVxre1TN75cVYwe6gwL6WWEiqY20tXUUt92y0DgNtTK8YrFxetvJ5PCnM7j6ohpjzMHl3Isu/P\nRUqGj4rMxHREz4qKeUFYMrjHNxnxMLsbRVi2qDAPpIdBn9YysQ4L/7JN3/eIc0ScW80yrovlTgfb\npDC3mp5iMfNttwwA7l1eBgDcbcvDrEZztvhe3c6jagifUzLUWDmbKRm7UYRty6NR62BClffs/Z4X\nOowhACZUZt+2MYUndy+O7RXMir3Mp2u7wxjCtLCwWTAzxrDQ6eDaaJSkm3h0zgBgIwxxbTTCbhxT\nwdxSplIyPHv4B4D7VlbwrYcews22FGblnLW5J8OvFaMivivMrnKYd6MI16PI6mjUOpCbi9r81Drv\n6GKF2rpg6lhIt/p3Le7CyL6/NscwmRDvuc21DADWggAXBwPvdssAYLPbxZXRCNujkbUHM6IY2pQM\nD6+1u1OV2QZypjzQ7p4MvyTDiviuMMtNPrZuMuthiGtRhJhzvxVmz4qweUJYZ1bSP7d5wdSxkj5U\n2lSYfY6VA44+m7YL5o0wxHOHh975l4Hk2K+MRrg6GmHTs7V4XjgOCrNt+lLiD9Dunoy5+tT5nMOs\nKsy2LqgTYYjLwyE6jPmnMFOsnBeoOZxtXjB1rAQBdtKC2VpKhhwr59kDBpBGvMUx9h0UzE8fHGDD\nw4JzMwxxdTTC5dHIWuQXUQx1ap2Puz+20aVktPWc+bdqVMDnHGZXo7FPdrt4eThEv9PxTmHuK6q8\nT0XYPKFaMtq8YOpYCQLsxjH2owjLFi0Z19JMYR93T5aDAHtRZLVREkgL5sNDrHu2lgGpwjwc4vJw\nOB5XTbQLtemPhJrZTD1ktPhe3c6jagjZK+Pbtq+r7NKT3S5eTrcBfVOYpywZHr3f84ScZgL493Cz\nnCrMuxYVZjkirc03GBPLaTOx7cSHjTDEUx4rzFdIYW41qiXDx90f2/Q9Upjn6p1c7HSwn6oyvm37\nypP+bKoyJ8MQLw+HuDgY4IylIPO6mIqVa+mHcN7RNv159NkcWzIsfi7lMc++2cuA5CFjV0TxkSUj\nF5vpsS90Ot693/OC2vRH953ZkMLcUmRVps1PMTpkhXnH4k1mIQgw5By7cYxVjxXmfQ8Hr8wLPikM\nOkTBbDMlY0Jh9vCmLNJ3dixbMja7XTx9cIB1D9eCk90uDjnHWc+Ei3lCpzC3tfhrC2rTX5sFgHYe\nVUNMqDKeXcgL0g1y11FwPfPspiwrl/tx7N2ggnlBfp8izhEDXk36k5v+rCnM0m6Zb/Yy4MiSYXst\n2whDPHN46N1uGYBxPFmkTMYk2oNOYfbts2kbtemvzQKAf/tSFVBVGZ9UrOVUkQHsWjKASaXWJ2Tl\nci+KsNTvOz4iQodsnRGfS58ezsRnc8i5teJPTOAEgH0fp9al52zX4kMGAFxIC+WbFhasvWad/OK5\nc+NJbET76DI2lZLR1uKvLaijsdssAMxVwaw2gfnUKS1ULADWbzL//J57JpqyfIEsGX7g+4AZ8dnc\nj2Nr+bjyw7+PuyfLacG/E0W40eKD7B3puF+br1kn/+udd7o+BCKDHmMYyvaCFhd/bUGrMLf0nPlT\nMdaAvI15EMc43dI3RcdEwWxZYX7nqVPWXqtO+ukYXMDPomJe8HmgEHD02dyOImsP4fJath/H3qUm\nLEmWDJtr2b3Ly/jLGxt4eHXV2msS80NXk8Ps23pmm1CyGgVp8dzW3f+5eidVVcan8agLnQ5GnGPo\noLPcVyYUZg+3recFNc2krYulidUgwPXRCNdGI2vpC7IlY89is2FdLEtNfzY9zEtBgM/cfz82PHvA\nIPxAHcLk43rmgp60y9hm0aSdR9UQctPfvsXM1DpgjGElCHB1NELU4guqTciFmM0pbEQxfLdknJKy\nym0VzMfBkuEiVo4gmqSrDi6he3Uu+tKDRpsfMubqnZRvMnseKo4rQYCLgwGWg8CrpihXUEqGH8jN\nmT4G/Z/qdvFSOoHNasGcWjJ8fBgUw15sx8oRRJPQaOxyiKFynPNW3wPaeVQNofr+fLvJrAQBLg6H\ndIPJCVky/GBKYfbsBnOy28ULgwEOLDb9+Z6SsRGGuDYa4QpNrSOOETpLBinMsxGNf0POETKGTkvv\nAXP1Tk4ozB4qjrLCTMxGno5ICnN7mYiV83ALUxzvQqdjbefHd0vGiTDE5VSVP+FRWhFBZCEPGAP8\n3DFzwWIQ4DCOW7+WtffIGmDCw+yhKrMSBHju8NDLsa4uWJLebx+3recFVWH29QZzLd29soG4Mcec\ne3ltb4YhLo9GuEwKM3GMEJnCXGpi9m3HzAWLnQ724rj1ddlcVV6qwuzbTWY1DPHMwQEpMjmRo/ja\n/kGcZ2QPs683mN+89Var6kOHMfTSHRQfr+0T3S4uDQbYj2OsebYOE4QJln4uD+MYC0Hg5Y6ZC5ZS\nu+xeELS6Lpurykv1MPt2k1kPAnz/4MCaT9J3VqTpiD6+3/NCr9PBdvo++bqF+Ws33WT9NcUOio/X\n9sluF08fHuJMt0sNzMSxQvTOLKQ2Ax/XM9sspj0ZbV/L2ntkDaCmZPiWXXq618N39vZoCzMnQmHm\nnm5bzwu+x8q5QggAPl7bYpeM7GXEcUNuNqfR2PlY6nSwF0Wtr8vae2QN0O90MOQcMedejko+3e3i\nB2TJyI2IrjqIYwQAPem3lIlYObrB5EYIAD5aMoSqHNB7TRwz+lLBTKOx8zGxW9biumyuKi/G2Pjp\nr+1PMjpO93oAgFcsLDg+Ej8QlozrUYQ1eshoLRMKM91gciOi5XY9VJgB4J/fcw/O9/uuD4MgamVK\nYab1bCai6a/tddncVRGLnQ52owgDzrHQ4jdGx+2LiwCAV6a/EtksdzrYiSJcH42osajFqKOx6QaT\nj5UgwOXhEMM4bvVNxsRfO33a9SEQRO3IBXObp9a1CdH0tx8Erd4tK31kjLETjLFHGWNPMMY+zRjb\nyPjegDH2NcbYJ8q+Xl0sdjp4eThE32Jmal08vLaGC70eHlhZcX0oXhB2OugyhkvDISnMLUZWmGky\nVn42wxBPHxxgLQy9W8sI4riyIAsAlJKRC9H01/Z+jCrv5K8DeJRzfgeAz6Z/NvEBAN8CwDO+xwrr\nYYjnDg+9VBz7nQ6ee/3rsUlNf7lZCQL8yNP3e15YUDx/dIPJx2YY4mm6tgmiVaiWDBIAZrPkST9G\nlSN7F4CPpr//KIB3676JMXYDgHcA+CcAnF85G2GIZw4PsU6K41ywEgR4fjAghbnFyOk1tIWZn81u\nF08dHNBaRhAtQrVkkAAwm6UgSFIyjrHCfIZzfjH9/UUAZwzf9z8C+FUAseH/W2W8jdniN4Woj5Ug\nwPOkwrUaESkEAActXzDbhGzJIAiiHUwozNTEnItx4k/Lc5gzV1rG2KMAzmr+1z+Q/8A554yxKbsF\nY+ydAC5xzr/GGHukyoHWhVCY6SYzH2yk29Y07KW9TIwwjyKcSdNgiGw2wxDf39/Hq6mngSBaw5TC\nTDtmM/ElhzmziuCcv830/xhjFxljZznnLzDGzgG4pPm21wN4F2PsHQAWAKwxxn6Pc/4Lup/5oQ99\naPz7Rx55BI888sjsf0FBNsIQ39rbo23MOWGr18P39vfxlzeMPamEYxYlhbntW3JtQniY337ihOtD\nIQgiRc5hPmh5rnBbEDMTVuMYWw31aD322GN47LHHKv2MKlXjxwG8D8B/l/76++o3cM4/COCDAMAY\nexOA/8JULAOTBXNTbIQhnjo4wBvX1xt/LcI9p7pdfPLll/FeirBqLbLCvO9pRJoLTqY3lnOkyBNE\na5AV5r2WWwzawkYY4loUYXk0wisbmjOhirAf/vCHC/+MKu/kbwJ4G2PsCQBvSf8Mxth5xtgfGP6O\n85SMjTDEDw4O6CYzJ2x1uzjknAYktBgRWg8klgy6weTjzqUlAFQwE0SbEAUz55zWs5xshCGujkat\nHzJW+sg455cBvFXz9ecB/BXN1/8tgH9b9vXq4oRQZaiAmgtuTp9Wz1NR0VqWyJJRCjHA6A20W0YQ\nrWEhzZUfco4OY+hSwTyTjTDEleEQq0HQartse4+sIe5IbzKkyswHD6+uAgDuXl52fCSEicXUkiEU\nGbJk5CNgDLyBPg+CIMojFGZay/IjFOaNlk/lnbt381Vp4XQ/dZbPBfevruK5H//xsd+TaB8BY+gy\nhkMRK9TiBZMgCCILUTDv025ZbjbCEFdGI1yLIlKY28Rmt4v9N74RC3Qhzw0XyH7TekQOJ6kyBEH4\nzEKng5eGQ2r4K8BKEOAwjnFxMMBGiwvmuXw3qVgmiHaxFATYi2PyMBME4TV9smQUhjGG1TDEi8Mh\nzrbYLkvvJkEQzlnqdLAfRRQrRxCE14gmZrKXFUOs+m2ejNjeIyMIYm5YCgLspqoMbWMSBOErq0GA\nbQ+m1rWNNsfJCdp/hARBHHvWwxDXRqPE90eqDEEQnrKSTq2jpr9i/MNbbsHFwcD1YWRCBTNBEM7Z\nSP1rA7JkEAThMathmCjM1PRXiPeeOeP6EGZC7yZBEM7ZCEM8e3CA9TAEY8z14RAEQZSCLBnHF3o3\nCYJwznoQ4OnDw1ZncBIEQcxCWDJ2o4gsGccMKpgJgnDORhji6YMDrNMNhiAIj1kNAmx7MISDKA4V\nzARBOGcjDPFUaskgCILwldVUYb4+GpEAcMyggpkgCOeIgrnNU54IgiBm0e90MOIcLw2HJAAcM6hg\nJgjCOZvdLq6MRjTGnCAIrxFT635IPRnHDiqYCYJwzi0LCwCAG6lgJgjCczbCkJqYjyFUMBME4Zzb\nFxcBADenhTNBEISvnOl28fjuLk51u64PhagRKpgJgnDOahjio3fdhXeePOn6UAiCICpxLt0pu9Dr\nOT4Sok5ov4AgiFbwC2fPuj4EgiCIypxOleXzZDE7VpDCTBAEQRAEURO3phazHk36O1YwzrnrYwAA\nMMZ4W46FIAiCIAiiDKM4xuXRCKfJktFaGGPgnLNCf6ctRSoVzARBEARBEETTlCmYab+AIAiCIAiC\nIDKggpkgCIIgCIIgMqCCmSAIgiAIgiAyoIKZIAiCIAiCIDKggpkgCIIgCIIgMqCCmSAIgiAIgiAy\noIKZIAiCIAiCIDKggpkgCIIgCIIgMqCCmSAIgiAIgiAyoIKZIAiCIAiCIDKggpkgCIIgCIIgMqCC\nmSAIgiAIgiAyoIKZIAiCIAiCIDKggpkgCIIgCIIgMqCCmSAIgiAIgiAyoIKZIAiCIAiCIDKggpkg\nCIIgCIIgMqCCmSAIgiAIgiAyoIKZIAiCIAiCIDKggpkgCIIgCIIgMqCCmSAIgiAIgiAyoIKZIGbw\n2GOPuT4EgjBC1yfRVujaJI4TVDATxAxo0SfaDF2fRFuha5M4TlDBTBAEQRAEQRAZUMFMEARBEARB\nEBkwzrnrYwAAMMbacSAEQRAEQRDEsYZzzop8f2sKZoIgCIIgCIJoI2TJIAiCIAiCIIgMqGAmCIIg\nCIIgiAycF8yMsZ9mjH2HMfYkY+zXXB8PQcgwxp5ijH2dMfY1xthXXB8PMb8wxn6XMXaRMfYN6Wsn\nGGOPMsaeYIx9mjG24fIYifnFcH1+iDH2XLp+fo0x9tMuj5GYTxhjNzLGPs8Y+yZj7HHG2N9Lv15o\n/XRaMDPGAgC/DeCnAdwD4D9ljN3t8pgIQoEDeIRz/gDn/GHXB0PMNf87krVS5tcBPMo5vwPAZ9M/\nE4QLdNcnB/Bb6fr5AOf8Uw6OiyCGAH6Fc/4qAD8G4O+mtWah9dO1wvwwgO9xzp/inA8BfAzAf+j4\nmAhCpVAnLUE0Aef8jwBcUb78LgAfTX//UQDvtnpQBJFiuD4BWj8Jx3DOX+Cc/7v09zsAvg3gAgqu\nn64L5gsAnpX+/Fz6NYJoCxzAZxhjX2WM/WeuD4YgFM5wzi+mv78I4IzLgyEIDb/MGPsLxtjvkGWI\ncA1j7GYADwD4Mgqun64LZsq0I9rOGzjnDwD4GSTbOG90fUAEoYMnGaG0phJt4n8BcAuA+wH8CMD/\n4PZwiHmGMbYC4F8A+ADnfFv+f3nWT9cF8w8B3Cj9+UYkKjNBtALO+Y/SX18E8P8isRERRFu4yBg7\nCwCMsXMALjk+HoIYwzm/xFMA/BPQ+kk4gjHWRVIs/x+c899Pv1xo/XRdMH8VwO2MsZsZYz0A/wmA\njzs+JoIAADDGlhhjq+nvlwG8HcA3sv8WQVjl4wDel/7+fQB+P+N7CcIqaREi+FnQ+kk4gDHGAPwO\ngG9xzj8i/a9C66fzSX+MsZ8B8BEAAYDf4Zz/t04PiCBSGGO3IFGVASAE8H/R9Um4gjH2zwC8CcAp\nJH67/wrAvwLwfwO4CcBTAP5jzvlVV8dIzC+a6/O/BvAIEjsGB/ADAL8oeUYJwgqMsZ8A8AUAX8eR\n7eK/BPAVFFg/nRfMBEEQBEEQBNFmXFsyCIIgCIIgCKLVUMFMEARBEARBEBlQwUwQBEEQBEEQGVDB\nTBAEQRAEQRAZUMFMEARBEARBEBlQwUwQBEEQBEEQGVDBTBAEQRAEQRAZUMFMEARBEARBEBn8/3nb\nH+rOoKIWAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(time, x)\n", "plt.legend([sm.latex(s, mode='inline') for s in model.states()])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we add measurement noise to these simulated trajectories." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": true }, "outputs": [], "source": [ "accel_meas = accel + np.random.normal(scale=np.deg2rad(0.25), size=accel.shape)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": true }, "outputs": [], "source": [ "x_meas = x + np.random.normal(scale=np.deg2rad(0.25), size=x.shape)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Xw13B6B1mbBxFNUTwF1l3H9uNC8MXMDY5hoP+g8LJBzlXxop5KwCIY3VMJ6xw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\nYt4KVS6PWnPx1+y+ixXm8gDEL8tEsrK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G+nqgcml8YZbMhrdsDQ0BGzdq1yUQiGztMMqq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\n8r9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Ge/P88/3vSzMpbY0y+kkj/LpI79slNFPUOzoPbzVJ/XJMzzGxcTn+88fDU794CgAA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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(time, x_meas[:, :2], '.')\n", "plt.legend([sm.latex(s, mode='inline') for s in model.states()])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Define the objective\n", "\n", "$$\\min\\limits_\\theta J(\\mathbf{\\theta}), \\quad\n", "J(\\mathbf{\\theta})= \\sum_{i=1}^N h [\\mathbf{x}_{mi} - \\mathbf{x}_i]^2$$" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": true }, "outputs": [], "source": [ "x_meas_vec = x_meas.T.flatten()" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def obj(free):\n", " return interval * np.sum((x_meas_vec - free[:4 * num_nodes])**2)\n", "\n", "def obj_grad(free):\n", " grad = np.zeros_like(free)\n", " grad[:4 * num_nodes] = 2.0 * interval * (free[:4 * num_nodes] - x_meas_vec)\n", " return grad" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Define bounds on the gains" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/latex": [ "$$\\left \\{ k_{00} : \\left ( 0.0, \\quad 1.0\\right ), \\quad k_{01} : \\left ( 0.0, \\quad 1.0\\right ), \\quad k_{02} : \\left ( 0.0, \\quad 1.0\\right ), \\quad k_{03} : \\left ( 0.0, \\quad 1.0\\right ), \\quad k_{10} : \\left ( 0.0, \\quad 1.0\\right ), \\quad k_{11} : \\left ( 0.0, \\quad 1.0\\right ), \\quad k_{12} : \\left ( 0.0, \\quad 1.0\\right ), \\quad k_{13} : \\left ( 0.0, \\quad 1.0\\right )\\right \\}$$" ], "text/plain": [ "{k₀₀: (0.0, 1.0), k₀₁: (0.0, 1.0), k₀₂: (0.0, 1.0), k₀₃: (0.0, 1.0), k₁₀: (0.0\n", ", 1.0), k₁₁: (0.0, 1.0), k₁₂: (0.0, 1.0), k₁₃: (0.0, 1.0)}" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bounds = {}\n", "for g in model.gain_symbols:\n", " bounds[g] = (0.0, 1.0)\n", "bounds" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Initialize the problem" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": true }, "outputs": [], "source": [ "prob = Problem(obj, obj_grad,\n", " model.first_order_implicit(),\n", " model.states(),\n", " num_nodes,\n", " interval,\n", " known_parameter_map=model.closed_loop_par_map,\n", " known_trajectory_map={model.specified['platform_acceleration']: accel_meas},\n", " bounds=bounds,\n", " time_symbol=model.time,\n", " integration_method='midpoint')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Set additional options for IPOPT" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": true }, "outputs": [], "source": [ "prob.addOption('linear_solver', 'ma57')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The initial guess can be:\n", "\n", "$$\\mathbf{\\theta}_0 = [\\mathbf{x}_{m1}, \\ldots, \\mathbf{x}_{mN}, \\mathbf{0}]$$\n", "\n", "But it can also solve from:\n", "\n", "$$\\mathbf{\\theta}_0 = \\mathbf{0}$$" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": true }, "outputs": [], "source": [ "#initial_guess = np.hstack((x_meas_vec, np.zeros(8)))\n", "initial_guess = np.zeros(prob.num_free)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Solve the problem" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": true }, "outputs": [], "source": [ "solution, info = prob.solve(initial_guess)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": true }, "outputs": [], "source": [ "x_sol, r_sol, p_sol = parse_free(solution, len(model.states()), 0, num_nodes)" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Gain initial guess: [ 0. 0. 0. 0. 0. 0. 0. 0.]\n" ] } ], "source": [ "print(\"Gain initial guess: {}\".format(model.gain_scale_factors.flatten() * initial_guess[-8:]))" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Known value of p = [ 950. 175. 185. 50. 45. 290. 60. 26.]\n" ] } ], "source": [ "print(\"Known value of p = {}\".format(model.numerical_gains.flatten()))" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Identified value of p = [ 947.77492904 173.66745739 185.12855097 49.82707837 44.14240269\n", " 289.58708362 60.04449855 25.95846021]\n" ] } ], "source": [ "print(\"Identified value of p = {}\".format(model.gain_scale_factors.flatten() * p_sol))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Plots" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The trajectories of the states fit the measured data." ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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kZQGvvw60bu05U0fdusAHHwBTpwK//25EaSlU2EJNZCJWqxUFBQXVugqJiMg4nurmf/wD\nWLYMmD9fDePwZa7Mgw8Ce/aoyYpkLhzyQRQFHGeLO3cVEhGRMdzVzYcPA+efD/z4I9C+ve/7O3YM\n6NABWLAA6N49FCWmQHHIB1EUYFJ/IiLzcVc3v/gicPnlwLPP+rd6Yr16atjHo4+GrMgUZmyhJgoz\nT12HTKtHRGQ+rupmm021Mq9eDdx0k/+9i6dOqVbtr79mK7WZcMgHUYTgsA4iosj3z38C69apSYaB\nLtr15JPAb78B77wT4sKSzzjkgyhCcFgHEVFkKykBpk8HJk9Wfwe6ZPhttwHz5gEHDoSooBQ2bKEm\nCjMO6yAiimyffgo89xywfLn+fWVlAW3bAg8/rH9fpB+HfBARERGFwejRatXDG2/Uv68ffwSuvx4o\nKADO4bgBw3HIB5HJWK3+zfomIiLz27dP5Z0eP9637a1WK5o1a4aGDRti6NCh1a4H/foBtWsD333n\neR+8npgbA2qiECkoKEB+fj5yc3NhtVqNLg4REQXBBx8AV1wBnHeeb9sXFBRg//79sNlsWLBgQbXr\ngaYBkyYB777reR+8npgbA2qiEOHkQyKi6DN7tn9DPezXAgDo3bu3y+vBtdeqlRZPnfK8D15PzItj\nqIlChJMPiYiiy+bNwJAhwK5dvo93Lioqwk033QRN0/Dvf//b7fVgyBDg9tuBK690vQ9eT8KDkxKJ\nIpCnRV6IiMhcHn9cLejy8suB78NVvW+1WpGf3xFHjw7A5s3deS0wUKABdc1QFIaIfGMfFweoSpaL\nvBARmVdODvD22/r24Vjv9+nTB61bt8aGDRtgswHAb7j55jsxb95s3WWl8GJATWQgjosjIooMW7cC\nR44A/fu7ft7XHkfHer9WrVoVwTUA1K+/GZdf/kbQy06hx0mJRAYKdHUtIiIKry+/BEaNcj922tdM\nHI71fv369QEAvXr1wrhx4/DIIz2wYIGP6UPIVDiGmihMOF6aiChyDR4M3H03MHas6+czMjKQm5uL\nlJQUnxtJnCcb7toF9O4N7N8P1OQYAkNwUiKRyaWnp1d07WVmZnK8NBFRhDh6FGjRQi3qUreu622C\nlYkjJQX45z+B9PSAd0E6cKVEIpPjeGkiosi0YAEwcKD7YBoALBYLcnJydPc+jhoF5Obq2gUZgAE1\nUZhwvDQRUWT68ksgIyM8xxo2DPjmm8q/uex4ZOCQDyIdOC6aiCi6lZWp4R5LlgAdOoT+eMXFQOPG\nKqtI06YcLhhuHPJBZABfZ3UTEVFkGj/+SRw5sgt33x2eFuJzzwUslrVIT38SGRkZOPfccwFwuKDZ\nMaAm0iEY46LZnUdEZF5r1zbDqVNzw9pwEhe3CFu2tERubi7OO+88DheMABzyQaRDMGZ1szuPiMi8\nEhI2oajor0hJsYUtqE1Luxnfffck+vYdiwULGEiHE9PmEUWoQHKXEhFRaDjOjZk5MxudOjXA8OET\n8O6708NWPxcVFaFly9P45pt4DBxYPyzHJIUBNVGEClbuUiIi0s+x1/CSS56AyCNYsiT85bj9dqBj\nR2DKlPAfO5ZxUiJRhApW7lIiItLPcW5MSsp9hi2wMnRo1fR5ZG4MqImIiIjKOa4Z8MMPtQ0LqP/0\nJ2DZMuD0aWOOT/7hkA+iIPE1J/X27cDXXwPHjgHdugGXXgqUN4gQEZFJHD+u8kAfPGhcHZ2SArz0\nEnDJJcYcPxZxyAeRwbzlpN63D7jiCrV87erVqpJ+7jng/POB//zHgAITEZFby5cDffq4DqbDle70\nkkuApUtDtnsKIgbUREHiKSf1xo2qpaFzZ2DnTuCdd4B//hPIzwdycoBHHgEeewxgZwwRkTksXgy3\nwz3CtajXJZfAkAmR5D8O+SAKEnfZOrZuBdLSgJdfBq65xvVrDxwAhg8HMjOBhx8OU4GJiMitpKRt\naNr0dbRosaXaML5wpTs9cED1Yv7xB1CjRkgOQU6YNo/IhI4cAfr3B+67D7jlFs/b7t0L9OsHvPkm\nMGpUeMpHRETVnTgB1K9/CmVljQCcqrboVjjTnV5wATBnDtCrV0gPQ+UYUBOZ0A03APXqATNm+Lb9\nkiXA1VerISING4a2bERE5FpeHnD11Rths3UP+6JbzhPc77/fgh49gLvuCsvhYx4DaiKT+fxz4J57\ngA0b/JshfuedwMmTwLvvhq5sRETk3qOPAidOnMbu3RPDvuiW48IymZmZGDUqB19+qebbUOgxoCYy\nkZMnVTfde+8BH33kWzo9u6NHgU6dgC+/VDPMiYgovIYOBSZPBkaPDv+xncdnHz5swcUXA3v2ALfe\n6t/1hPzHtHlEJvLSS2rs9KWX+j8bvH59lfWDkxOJiMKvtBRYsULV4YHSk1bPcWEZi8WCtm0BTQN+\n/TV82UXIfwyoiYLswAEVUP/jH+pvT+n03MnKAn75Bfjuu1CVkoiIXNm8GWjSBGjcOPB96Al8LRYL\ncnJyKlqfNa0yfV4g1xMKDwbUREH24ovAVVcB7durv51bG7yxWq0YNiwddeq8iqefLg5xaYmIyNH3\n3wMXXaRvH8EOfO0BtavrSbgWmSHPOIaaKIgOHwY6dgTWrAGSkwPbR+WElNqoVWsf1qyxoEuXoBaT\niIjKOWfVuPdeC/r2Bf7yF8/beWogCXZavXXrgOuuAzZtqv6c8yTGHM5e1IVjqIlMYPp0YNy4wINp\nwLFloxumTKmFl18OUuGIiKga5+EZ7lqo/RnG4TxsQ69u3dQqu0eOVH+Ow0DMQXdArWnaCE3Ttmia\n9oumaVPdbPNq+fPrNU3rXf5YK03TFmma9rOmaRs1Tbtbb1mIjHTmDPD668C99+rbj2OX3l131cHH\nHwPHjgWnjEREVJVjQPrcc29h1y6ge3fP24U7cK1ZE+jdG1i1qvpz/g4rpNDQFVBrmlYDwHQAIwB0\nAXCtpmmdnbbJANBBRDoCsAKwL3FRDOAeEekKYACAO5xfSxRJ/vMfoEcP+Dw8w924N8eWjWbNVKaQ\njz4KUaGJiGKcY0C6dWsD9O2rAlhP2xkRuPbrB/z4Y/XHg90aToHR20LdD8A2ESkUkWIAcwCMddrm\nMgDvAYCI/AjAomlaUxHZLyLryh8/DmAzgOY6y0NkmFdfVXlLfeVr96HVCrAXj4goNBwD0u+/BwYM\n8L6dEfr3V+n8yJz0BtQtAOxy+Ht3+WPetmnpuIGmaW0A9Abg4t6LyPzWrwd+/x0YMcL31/jafTh0\nKLB/v+vJKEREFDw//KA/w0eo2FuomafBnFx0avjF16/VebZkxes0TasLYC6AyeUt1dVMmzat4v/p\n6elIT0/3q5BEgfJ1Vve//w3ceCNQo4bv+87OzvY4C9zx2JdfPg/Z2bXx5JOBvhMiIvKkrEwFrO+9\nZ3RJXEtOVmXcvRto1cro0kSPxYsXY/Hixbr3oyttnqZpAwBME5ER5X8/BKBMRJ512OYNAItFZE75\n31sApInI75qmnQvgCwC5IuIylwHT5pGRHNMRtW3bFq1bt64WXJ89C7RsCSxfDnToEJpjDxnyALZv\nfxbbt6sk/0REFFxbtgAjRwK//WZ0SdwbMwa46SbgyiuNLkn0Mipt3ioAHTVNa6NpWhyAqwHMd9pm\nPoCJ5YUcAKCoPJjWALwDYJO7YJrIaI7DMpo3b+5yzPOoUa/j7Nn1uPvu4CbVdzx2Ts5DiItzPSGF\niIj0W70aSEkxuhRVOU9e79+f1wGz0hVQi0gJgDsBfA1gE4D/iMhmTdNu1TTt1vJt/gfgV03TtgF4\nE4A9VXoqgBsAXKpp2tryf36MQCUKPcdZ3fXr1wdQfczz2rU9ceTIywEtMevrsRMSLLjqKuCTT4K2\neyIicrBqlfkCaufJ6/36cWKiWXGlRCIfuVr5av9+oFWrYygpaYaUlM4hTae0bp3q5tu2jcM+iIiC\nbdAg4G9/A4YMMboklTIyMpCbm4uUlBTk5eVBxILWrYGiIv/m7JDvAh3ywYCaSIcXXwRWrz6D4uIJ\nQVti1h0RoF074LPPVL5rIiIKjtJSwGJRqxEmJBhdmkquGnI6dQLmznW9+Azpx6XHiQyQkwPcdFMt\nt7lJ3S3eEghNA664Apg3T9duiIjISUEB0KSJuYJpwHXua3cLvJCxGFATBWjnTjX8wlMWR18Xb/HV\nZZcBX36pezdERORg9WoAWBm0BpBQSkkB1qwxuhTkTG8eaqKYNW8eMHYscO657rfxdfEWX110kWpJ\nOXgQaNxY9+6IiAhqQqLI6opUpX369HGZJlUPX9c18KZPH+Cjj3QXh4KMLdREAfr4Y2D8eM/bOGbq\nCEaFHBcHXHopkJene1dERFRu9WogMXEHAM9pUvUIVo9lr17ATz8BJSVBKRYFCQNqogDs2QNs3gwM\nHlz1cecx067Gv+k1fDjw9dfBHZ9NRBSrSktVFqWcnAe9pknVI1g9lvXqqcXEtmwJSrEoSJjlI4yC\n1d1DxrJarVi0qCtOneqKjRtTqnyPjqsbZmZmIicnJ+jHXr/+GNat+xdSUsZi+fKlITsWEVEs2LRJ\nzU/Ztq3yMVfZNfQK5j6vvVat6jhxYlCKRg6Y5SMCBHuCGhmjoKAA27b1wp49r1T7HoM9ZtrVsVes\nmIOzZw9h69ZaIT0WEVEscLVCYih6F4O5zz59ODHRbDgpMYxCHWxReNSo0QJAT/TpcxgzZ1ZNuZGd\nnR30Vg3Hno1zy2dANmmyBjfd9DF+++3WkOe/JiKKRva6tbDwHtx88zAAdYwukk+sVit+/LEudu26\nGdOmtYTFYmEPuAlwyEcYhaILicLvtddO4rnn1uOnnzqH5Xt0HEYyduxYxMXF4cor38Ubb9TFokUh\nPzwRUVSqrFuXIC3tWyxe/JjRRfKJKvcGAIUYPz4LH3/8H7fDDRlo+y/QIR9soQ4je3cPRbZFi+Lx\n1FMX4YEHQl9RWa1WbNiwAQDQu3dvzJo1CxaLBSdOALfcAhw7piaoEBGRf1SvsYZzzumFWbMiZ9lB\nVW4b4uKOYerUtxweq94Dbh9qCqjrCWOQ0OEYaiI/nDkDfPutmgwSjjHxBQUFsNlsAIDWrVtXBO3n\nnQf07w8sXhySwxIRRb3s7GyMHHkHmjePR5s2DYwujs+ys7PRtm1b1Kv3C2655XUUFRW5TdHKoabh\nw4DaBJj+LHJ89x3QpYtaVMVdRRXM79PxGLNmzaryXHq6Kg8REfnPYrFg0qTX0KdPZIVCFosFrVu3\nxh9/5GH9+nNgtVrdTngM9loI5F5knUVRitk/IscXXwCjR6v/u6uogvl9eqoMBw1iQE1EpMe6dUDP\nnkaXwn+qsWUN6tVL89jyHIpsJeQaA2oTYJeMOXhrWRZRAfWoUepvdxVVML9PT5Vhv37Azz8Dx4/r\nOgQRUUiZuRd23Tq18mCkyc7OxpgxLVGz5oVo0IDBshkwoDYBdsmYg7eW5a1b1Rhqb60Z4fo+a9cG\nevcGfvghZIcgItLNzL2w69dHZkBtsVgwf/5bqF37HOzcaXRpCGBAbQrskjEHby3LX36pWqc1L8l0\nwvl9uhv2YeYWISKKLWbshbVarUhNvQx7956ExRK5dWTPnkB5IigyGANqonLeWpYdh3uYhbuA2swt\nQkQUW8zYC1tQUIDly4+jtHQ1brstcuvIvXu/wt13v83GExOI2oCaLXTkL08ty8eOAStXAv/9712m\nOq8uughYtUoNRXFkxhYhIopNZuyFVXVkTzRpsjei68izZ1eisLAeG09MIGoDarbQUTDl5wMXXgj8\n9ttPpjqv6tcHLrhABfuOzNgiRERkFtnZ2UhOHof/+78xEV1HJibuBdCDjScmELUrJbKFjvRyXLK1\ndev/YtiwWliyxLjzyt0SsvZhHxdfXLktV+UkInLPYrGgQYM0DBxodEn0mTfvGTRrVgfz57PxxGhR\n20LNFjrSy7GX4+23d+CLL+7GjBkzDDuv3PW6DBoELFkS1qIQEUW0s2eBX34BunY1uiT6NG5sQbdu\ntbBnD+Mco0VtQG3GMVsUWey9HPHxnVBa2hDLl0/H/fffb9h55a7X5eKLgeXLgdLSsBeJiCgibdoE\ntG0L1KljdEn069GjeqYPziMLv6gNqIn0svdyJCffAmABUlL6Gjp8yF2vS2Ii0LSpukAQEZF3kbqg\niyuuAmrlF+yMAAAgAElEQVTOIws/BtREbth7OS644G6kpNgMHz7kqdelf3/gxx8NKBQRUQTasEEF\notHAVUDNeWThx4CayIOyMmDJkjjMm3e7aYYPuerKY0BNROS7jRuB7t0r/47kIRL2xV1EKh/jPLLw\nY0AdBpH8Q411a9eqIRWtWhldkkquuvIYUBMR+cZqtSI//w88//yNFdfkSB4i0bQpUKMGsHdv5WOc\nRxZ+DKjDIJJ/qLEuLw8YOtToUlTlqiuvZ09g+3bg+HEjS0ZEZH4///w7zp6tgcWL36+4Jkf6EAlX\nwz4ovBhQh0Gk/1Bj2aJFwODBRpeiKlddeXFxqkJdtcrgwhERmVxJyQUANla5Jkf6EAkG1MbTxHHQ\njQlpmiZmL6M3RUVFsFqtmDlzZkT+UGNVcTHQqBFQWAg0bGh0abz761+BZs2AqVONLgkRkXk999xJ\nvPnmMqxefWHUXJPfew/45hvgww+NLknk0zQNIqL5+zq2UIcBxzJFplWrgHbtIiOYBjiOmojIF9u3\nx2PKlKFRdU1mC7XxonbpcSK98vOB9HSjS+GdfUlyoB0KCt4G75OJiNzbuBG47jqjSxFcXbqoeTRn\nzgC1ahldmtjEKy+RG4sXA2lpRpfCO/uk1/z8f+OPP45j926jS0REZE4iKqDu1s3okgRXrVqqR3Xz\nZqNLErsYUFPECUcawuJitZz3oEEh2X1QOU56TU+vw2EfRERu7NoFnHeemh8TbTjsw1gMqE2Kuavd\nC0cawjVrgDZtIqPSdZydfvHF5zKgJiJy46efqi7oEk0YUBuLAbWPwh3gRnPuaqvVimbNmqFhw4YY\nOnSo359nONIQRsr4aaDqpNd+/YCVK40uEYUDb7qJ/PfTT9E33MOOAbWxGFD7yJ8ANxgXumjOXV1Q\nUID9+/fDZrNhwYIFft8whCNf6OLFkRFQO59rH3xwL5YsOY6RI12fewzCokc033RTZIjE+sR5yfFo\nwoDaYCJi6n+qiMGXlZUlaWlpMnLkSLHZbF63HzlypACQlJQUr9unpaUJAAEgmZmZAZXPZrNJZmam\nT2WLNPbPEoD07t3bdO+xuFikfn2RgweNLol3zuea+nunAG1dnnvBODfJHPypk4hCIRLrkx49RFat\nMroUoVFWJpKQILJ/v9EliWzlcaff8WrMtlD727rjT6toMFqXozl3dXZ2NsaOHYtx48Zh4cKFpnuP\nmZlPobT0V0ycaP5WF+dzTf29Bu3aZbo896K55yPWRPrKbhT5Iq0+KS4GCgqAzp2NLkloaJoazvLz\nz0aXJDbF7EqJGRkZyM3NRUpKStAvSHpXRrTnFY6Pj0d2djYvlmHWvv0M/PprKYC7kJmZiZycHKOL\n5JbzuVZUVITU1G8wfPhlePHF2l63JyIKVCTVJ1arFWvXnsGmTU9jz57zTF/eQP3lL8AFFwB33210\nSSJXoCslxmxAHeqKQE9QnJ6ejvz8fAAwfUAXjZo0WYGDB59DSsqOiGr9s59zx46lIyHh/7BgwblG\nF4mIyBTUdbUJgGuQmTknaq+r//qXGkf95ptGlyRycelxP3kbUqF3soW3ISWe9u9PN1okTgoxs9JS\n4MyZCzFmjCWigmmg8pxbs+YtLF16Eia/VyYiCht1Xe2OZs3+iIjhKYHq2pVDPowSswG1N3pn0HsL\nij3t35+xkZzpH1zr1gEtW2qYP//tiAqmgcpzrm/f5qhfvx727DG4QEREJpGdnY3mzYfj6aevi7i6\n3R9du6pMJmxQCT8G1G7onWzhLSj2tH9/JiRG2qQQs4uU5cZdsZ9zCxbkoW/fc7BmjdElIiIyB4vF\ngjp1+mHAgPOMLkpINW6sliHfu9foksSemB1D7U2ox1gHa/+RNCkkEowZA0yYAFx1ldEl0ef//g84\n91xg2jSjS0JEZLwTJ1SwefQoULOm0aUJrcGDgQceAIYPN7okkYmTEol0Ki0FEhOBLVuApk2NLo0+\nc+cC778PzJ9vdEmIiKoyIpPVypXAyJE70a3bxKjPoHX33UCbNsCUKUaXJDJxUiKRTuvXA0lJkR9M\nA0CfPuCQDyIyJSPm/mzcCNSosSUm5hxxYqIxGFCXY7YMys+PjOXGfdG2LXD8OPD770aXhIioKiPm\n/mzcCFgsu8N+XCN066beL4UXA+pyobpjLikBcnOBe+4BBg0CWrUCEhKA5s2Bfv2AW28FPv0UOH06\naIekAEXyhERnmqZaqdeuNbokRERVGbHK5+bNwLRpV8XE6qJduwKbNjHTR7hxDHW5YK+cuHu3SrD+\n3ntA69bA2LFA//5Au3ZA/frAqVNAYSGwYoUa57ppE3DHHWrMU926wXlP5J19LF+dOufhhx8+x6ZN\n56BZM6NLFRxTpqjhK1OnGl0SIqLwcxyrvXHjF1i06By0b290qcKjRQtg+XIgOdnokkSeQMdQR/lc\nV99lZ2frzpZhtVqxadMe7Ns3ETZbJm688Rzk5am7RVdatABSU1Xr9datwN//DnTqBLzxhso2EWgZ\nuGy57+w9E0BP1K27H82aNTe6SEHTsyfwzTeVf/PcICJ/RHqdUVm/n4caNYrRpk0to4sUNvZhHwyo\nwydqhnzoHQPtT+5nd5YubY5ly97Br7+exMCBf8FLL7kPpp116gR8+CHw0UfA5Mlqlm5xsf9l4EIv\n/rGP5WvVaiKuvLJRVI2l79FDTbS047lBRP4IdZ0R6vrWXr937nwFunSpgRo1gn4I07F/pgUF/8Wq\nVaeMLk5sERFT/1NF9C4tLU0ACADJzMz06TXBMmHCZGnSJE9q1CgQoJ+kpKSIzWbzez9ZWVmSlpYm\nQ4aMlyFDzsqQISLHjvm3j5EjRwqAgMsQa2w2m2RmZsqoUWckO9vY8yjYTp0SqV1b5PRp9TfPDSLy\nR6jrDE/1rf16OHLkyICPba/fZ8w4LtddF4wSm1/lZ/pnSU5ebHRxIlJ53Ol3vBoxLdTe7mSDOWvY\n27Ecn1+48Bhych7EgQM/o7S0J1q23OtyDLYvd+L21oAFC+bCYrkBycnA0KEqEb2vjJjs4SjSWngt\nFgvmzMnB99/HIS0tulaerF0baN9eTcYBjD83yHeR9jui6BTqOsNTfRuM1nF7z3Nh4Xno0kV3cSOC\n/TO94IIyWCypBpcmxgQShYfzH8pbqL21HNrvRP25k3V3B+ztWJXP3yxxcUekd++/u7yLd9x/amqq\n15ZP59aAsjKR224TSUsTOXnS57cVEr62FkRiC+/69SIdO6r/B3Iemdm114rMmmV0Kchfkfg7IvKX\np/o2mK3jY8aIzJunaxcRw/6Z7txpk/h4kZISo0sUeRBgC7XhAbPXApYH1KHoenJ30fJ2rBEjMgR4\nSWrX/k1+/PGI20rBcf9JSUley+9qP7fcYpXGjb+VOnXmycCBqbq6v/Tw9QJv5LACf7sI7dt37jxD\nJk48HYYSht8zz4hMmWJ0KchfHJ5DkejUKZE5c0Suv16kWzeR5s1F2rYVGT5c5PnnRfbs8X1fwWzc\naN9eZMsW3buJOMnJIr/8YnQpIk/UB9ShaDl0d9HydKwzZ0SuuOKMJCb+LIWFRT7vv7CwMKDyq0C2\njgCrBfirYS1Wvl7gjWzh9bdVr3L7udKv3ythKGH4/e9/IkOGGF0K8le09ZRQdCspERk4MFvi4g5K\no0Zr5KWXTsjatSK7d4sUFIj8978it9wikpCgel3/+CN8ZTt5Us0lKS4O3zHNIiND5NNPjS5F5In6\ngDoYnFswvV20nLc/elQFJ+PG+TYEIxgXRXsgW7duVwH2yfnn32bIRTYSLvD+tuqp7TXRtEOSkjLO\nsNb/UNq9W6RxY5GyMqNLQkTRwPm6uH27SL9+Ig0arBWgl8cGjUOHRO68UyQpSSQvLzzlXbtWpGvX\n8BzLbB54QOSpp4wuReRhQO0DxxbMxMREv8YDjxkzSfr2FbFawzsmyR7IFhYWSlraNGnatFT27Qvf\n8SOJv0G/zWaTYcOmSO3au6J2vGpZmUjDhsJzhoiCwvG6mJY2TZo0EXnpJftQSN8aNBYtEmnWTOSV\nMHQMZmeLtG27UnfGkEj03ntqHg35J9CAOmKyfASDffZr3bp1cejQoYrZw+5m1Nu37959LH7++U2I\nfI4tW9IxZozaLhwz8e2zlJOTk7F48WOYNOkc3Hab+ZYUDfSzCOZn6G8ucYvFgjFjXkBi4s8AoiOz\nhzNNUwu8bNhgdEmIKBrYr4vt29+Ln39+FBde+E98+mk6SkrOYty4ccjLy8MDDzzgsV5PTwe+/x6Y\nPh146qnQlnfTJqCsbGNM5uDv2hX4+WejSxFDAonCw/kPQWyhtrdgDhkypMqdtLuxtzabTYYOvU/q\n1DksHTq8KAkJCVW2M2Im/unTqvvqww9Dexx/J/gF+lm4e10wcpC647jvyy47IzNmHDf9cBY9Jk8W\nee45o0tBRNHAZrPJxRc/LY0bl8qqVa7rcF+vB/v2qQxLr74auvJecYVIr15Px+Qk3xMnROrUic3x\n43ogFod8BBp0OQ8NcDf2dtEiNf60S5e/VVQOjts5vm7ixIlh61JauVKkSZPQduP7GyAHmpXA3etC\nebPiuO9atYpkx46g7t503n1X5IYbjC4FEUWDFSvUdfH779Xfrupw+2OJiYmSmuo6O5X9+p2WdqPU\nqXNYunZ9MCTXzwsuEFm27EhUN5p40r69yObNoW2kijYxGVAHK+hyNfb2449VpbFwYWXl0KtXLxk3\nblzFdo6vC3dr9UMPiVx5pevnAvnhOL/G3wA50EmL7l4XyrRh9n137XqVJCdHf5LOVatEevQwuhRE\nFOl27xZp0ULks88qH3NVh9sf87T+guM1s0GD4QL8LsD5Qb1+njlTdbXYWHTZZSKffMLc9v6IyYA6\nVEHX66+r/Jlr1qi/bTabtG3b1u2ddijL4s7JkyrH5MKF1Z9z/OG0bds2oAVZjMrqUbn8+pAqNy/B\nZH9vzz9/Qv7856Dv3nTsaaPOnDG6JEQUaex18ogRo+Sii4rliSd8f62n66Ljc2oY5q1Sp85W2b8/\neHX+xo0inToFbXcR6cEHRf7+d+a290dMBtTBDvrKykT+9jeRDh1Etm+v+lwoVmrU6+OPVcujc9YR\nxx+OLys0Or9G73tw10J+4oRKlfTCCyL33ivy17+qlD6fflqZl9T5cw5lN1VmZuysInj++eriQkTk\niXOdW1knPypNmmzwK8uV83XRcd+OazPYbDYZPz5TWrdeIS1bzglafZ+To9LcxrLZs0WuvjoyUt+a\nRVQH1N6CKr3Pi4icPSty/vlLpW7dLfKnP10b1iEI/rC/l5YtW8rAgamSkLBBXnzxRJVtHH84gSzI\nojeIdV4hMjf3qFx7rUi9eiJNm/4iLVp8LJ06vSNPPHFSpk5Vq2jVry8yerRI//73+zRhVK+yMjUO\n/bffgrZLU7v8crWCGRGRJ851rrqGpErNmodk0ybPi5n5u29nAweOEWCfACk+pbb1Zto0kYcf1lPi\nyLdmjUj37kaXIrJEdUDt7Ueo93mbTWTwYJFGjZYKcJ7L7cxyd+f4XtS/nlKrlk3cFSuQcusNYu1B\nPNBegK8kPv53eeUV1Qrtbt/Hjom89ZZI27Yl0qzZKlm//kiVfQX7RmbTJjVkJlY88ojIo48aXQoi\nMjvnOnfHDpvEx/8u2dnHgr5v189PkHPOWStADd0NKVddJfLBB3pKHPlOnIjdlSIDFdUBtW8/wqrP\nO7ayOqfJc1RYKNKli8hdd4mMGDHKFK3Qntjfa/369R0yjJyWqVM9v86fVme9QeyBAzapW/cJAQ5K\ny5YvyYEDlfvwtu8zZ0SefFJNCJ07NzQ3MllZWdKx4wvSosU3pv2eg23OHJU+imIPZ/eTP5zr3Lvu\nErn55tDs29Xz48dnSkLCGgH+Wu064e+53L175VyoWGbP9EG+ieqA2pcfofPzji2hY8eOdfn6ZcvU\n5MOXX3a/H7NxXDnRXtadO9VqePv3u3+dP63Oej6H338XueQSkfT0s5KR8Zdq+/B13ytWqBbkp54K\n/rLZ6rP4SIAbY2a2808/cXKOSGwGl5zdT4FauVKkaVO1ZHg4rVhxROLijshPP1UOMcnKypIGDRr4\nfC4XF6uW2RMnPG4WE+yZPsg3UR1QB8JTS2hZmchrr6lW0C++CGj3pnP33WqSnzvhGAO+dq0Kgh95\nRKS0VP/+9uwR6dlT5L77KoPqYKQEHDFipAD7pHv3y2ImqGL6KCUWg0uzzP+gyFJcLNKnj1q+2giP\nPipy/fWVfzv+dhMSEryey1u3irRrF+JCRgh7pg/yDQNqJ+5aQouK1Nr2PXuKbNsW0K5Nad8+1Uq9\na5fr50Pd+v711yKJiSL/+U/Vx7OysiQpKUkSEhJkyJAhbo/vGPQ6LpLz669F0rNn5fjfQAIi59es\nWHFE4uMPyOHDsRVcdO4ssn690aUwViQGl3pb1SOh543Cx9fz6aWXRC69VF9jhh5Hj6rW8XXr1LHt\nKxVbLBYpLCz0+vr//ldNdI9Fzt+VPdOHGcri7XEziLmAOpAvY9Ei1YJ6663R2Q10//0it91W/fFQ\nn7iff65a+5curf6c8yRKd0Gw43aJiYlVtj9wQI0Be+utwAIi59e88YbIhAl63nFkGj++csl6M1dm\noRSJwWUwWtVj9fum6nw5nw4eFGnUqOq4WyN6d155RSQjo/oQTl889ZTIAw+EuIAm5fxdGZnpw915\nY+bewpgLqP0bE6wmVjRvLvLll54/yEh28KBqpXZeSjuUJ+4nn6j0cz/+6Pr5yowfkN69e7u9mFdP\n8l81aN6yRQXt33xz1O+AyDmIuuYakXfe8e99RirHQGrq1FMVKaTMXJnFOr2rlrri+H37utgTRSdf\nzqe77xa54w7/Xxdsp0+LtGlTPZ2qL66/XuTf/w5t+czK+bsyMtOHu/PGzL2FMRdQ+/Jl3HKLVTp1\nekZq1fpDbrzxdNgnVhjhvvtEJk+u+pjzZ6WntcrxtXPnHpMmTTzPorbZbDJ27Fivqx46Br3uWhE/\n+URVrnp+e2VlIs2aRddwH08cA6mLLvqn2Bt3zFyZxTrnm51gtKoHstgTRSd355O9bh80aJI0bFgq\nBw749rpQe/99kQsvLJbx4/07du/e7ht6op2r78qe6SPcvVXuzhsz9xYaFlADGAFgC4BfAEx1s82r\n5c+vB9Dbz9e6fMOeVmA6dMgm2dki8fG/CrBMgL5Bv3CYtQt1zx6RhATVWm3n/FnpaZ2sfO2FEhd3\nxOUwj1C64w6RK68MPPPH1q0iLVsGP3OIWTkGUj/8cEQ6dFCPm7kyi3WhuNkJZLEnii2Vdftc6d7d\nPMmbS0pEunYVyc317zV16qhx2KTYM32wd9I7QwJqADUAbAPQBsC5ANYB6Oy0TQaA/5X/vz+AH3x9\nbfl2PgWt6iRpJsBUOe+8fZKaKpKS8nDILhxmPilvuUWkT5/5bgN+PRdU9drzpWbNQ/LRR/oT/fvr\n1CmRXr1E3ngjsNfPnFl15ni0cwykzp5V3X4nTxpdKvIk1Dc7vJkiV1TdPlDi4vbK3r3mOjc++EBk\n0CDft9++XaRVq9CVJxLZM32E44barA2OvjIqoL4IwFcOfz8I4EGnbd4AcLXD31sAJPny2vLH3Qat\nxcVquME//iHSsOE6AQ5LYuI8+frro1JWFtoLh5lbeQoKRM4997C4WvUxKytLUlNTJSkpyaeZ0s4K\nC21St+4eefVV42Z1bt6sJsy4y2jiyXXXqcmNsapbN5HVq9X/I73SI6Lgsdls0rjxTzJ9euB1u6c6\nRU99U1ws0ratWjvCF198ITJ8uF+HiHr2TB/huKE2qsExWNe0QAPqc6BPCwC7HP7eXf6YL9s09+G1\nAIA2bR5Hauos9O8/F61azUGLFgvRs2cJ6tcHrr0W2L0bmD69PZKTL0anTi/g5ZevxpEjRbBYLMjJ\nyYHFYtH5NqvLzs5GZmYm8vLyQrJ/PTp2BBo12gjgFqSkpGDmzJkVzxUUFGDZsmXYv38/7r//fr/2\nW1YGTJ5swYQJzXHXXfF+vdZqtSI9PR0ZGRkoKiry67XOLrgAuOMOYPJk/14nAixcCFx6qa7DR7Su\nXYGff1b/LygoQH5+PnJzc2G1Wo0tGBEZau1aCxo06IZbb1V1eyB1tqc6RU99U7MmcP/9wDPP+Lb9\npk1Aly5+HSLqdemiPheLxQKLxYJx48YF5XrsSny8Ooec449QM/yaFkgULpWtx1cCeMvh7xsAvOa0\nzecAUh3+XgCgry+vLX9c2rcvkW7dROrV2yjA5wJMl5SUf1VroTTzMAw9vN11uXp+4cKjEh9/QA4e\nDN5wj6eeEhkwQC0S4mvZ7IL93Zw6JVK//n7p1u1Bn+9GMzMflVq19suIEbHbIvv3v0vFMvVm7mUh\novApKxO5+GLVimkXSJ3tqU7RW9+cOqUmlPuSS/+mm2K7J9IVx0wfoY6VQtUK7i3eCNY1DQYN+RiA\nqsM2HoLT5EKoIR/XOPy9BUBTX15b/riMGvWYDB36mDRsOE6Av4jF8q306lUs552nuoHGjxd5/XWR\ntLQ/R2WA4O3kd/d8aqrI3LlVtw30RP/qK5V2cPdu/8pmF4rgrUePKQL8KkB8tWEtaWlp0rJlS0lN\nTa348XXs+IIAs6Luhssfn3xSudgBx9Kahy83pr7evHIoD/nrm29EOnVSk/nsAqmzPdUpwahvnn1W\nDdvzpl8/34eHxBJ7po9IHUftLd4I9BxbtGiRPPbYYxX/jAqoawLYDjWxMA7eJyUOQOWkRK+vLd/O\n5YeVlZUlgwZdKpdckiUzZhyXCRNEmjQplXr1dskjj5yUHTv8/0LNeiHydvK7e/4///FvIoc7v/6q\nck1/953/ZbMLRfCmjp0tzZrNrLJf58Vk7D++pKTvBJgYdTdc/ti6Vd2Ekrn4cmPq681rtPbUUWiU\nlamex48+qvq4GW+4i4pUFivnhh1HZWUideuKHD4cvnJFijFjVKNKpI6jDlevqiEBtTouRgLYCpWx\n46Hyx24FcKvDNtPLn18PoI+n17rYv8slKxs0aFDtyyotVXelt92mFjhp2HC5AGk+f6FmvRB5O/nd\nPX/2rEoRd8UVjwd8o3DihEijRjukfftXXL7eyErXZrNJRsZfJCGhVPbvr3zc/qOrX79+xY/v8GGb\nJCaWyqhRt5nqAhFu9nRSx48bXRJy5O1C4bj0sqcFknzZlztmbVCg0MrLE7nggqqt02Z2550i//d/\n7p/fuVMkKYnnsyv2TB/hEOr0n6FkWEAd6n/2ADcxMbHih5GUlFQR+FosFpcf7qlTIt26vSzAFomP\n3yhDhjzn9ccVjWNKn35aJCnpy4BuFMrKpLzl/xtT3mjY/fWvVVf1sv/oCgsLK358P/0k0q6dcWU0\nk549RVasMLoU5MjbhcLxZj8j4zp55RU1dKdbN9W9ffvtIosXi67sRmZtUKDQGjxYZNYso0vhuy1b\nVI/pqVOun//qK5E//YnnsyuzZ6uVgsPBn3rIbDc/UR1Q161bt8oPw95Soy4uGW4/FJvNJuPHXyWz\nZh2XOnV2CvCVAN3d/rjM2MWl18GDIjVrHhUg0e8bhddeU8HXsGHjTH2jcfCgSqP3yy/ut3n1VZFJ\nk8JXJjO77rroX5LXbBW0Xvab/eTkv0tiYqlcc42aH7FuncjSpWpsaceOImlpKm2mnmOY9XdO+jn/\nLlasUPma7RPNI+V3M2KESFrau9XKmpWVJe3bvybJyZ/JkCFDeD47Wb1apHt3o0tRndnS7EV1QO38\nw7D/3atXL59/KMOHjxbgL1Kz5iG5885TMdXlPWHCaenWLduvO8X+/e+VxMRS2bbN3DcaWVlZkpSU\nJLVrPyFNmy50W8bLL1eLA5DK1nLffUaXIricK8ZoaJ1yfE+//FIobdp8K926lci6da63Ly5WN46J\niSIff+z/8cz8O6fgcP5dXHmlyEUXfVRxnnlblt6fgDuUwfn//idSt+7WamVV72+mALfJ2LFjeT47\nccz0EU6O58LEiROrnReebubt1/iEhAQZMmRIUL9Pd9eJqA6o7RW9/YsYMmSIjBs3zq/Z8PZ9FBQU\nyfXXq4lZCxb4+elHqPXrVYaOs2erP+c6EEkSYLdcfPFTPu3fyFaNyh9EvAB7ZdiwKdW2KS1VY+r3\n7Alr0Qzn7nv59FORkSMNLFgQeAugo6G1tfI9adKy5XIZOVLkmA+Lk65dq37vM2aEvowUWRx/FytW\nHJHGjUUuvnh4xW/HPpzS3e/GnxvVUN7UlpaKxMfvFuBiSUlJqYgNEhMTBVgqnTpZI/Z3H2rt26th\nM+HkeC6o76jqeeHpZt45yYDec8nx2uGuFyOqA2r7h+BqIqIr7n7Ijh/kxx8fkxYtVEvd6dO+fA2h\nFeyg1Hl/6enVZ3GLVP+shg8fI8ASad58hs/lCHVroKfPxn6BACDNm78sV155ptrr165VKaFijbvv\nZds2kdatDSyYC/6e/94C6GhobbW/p6ZNP5DU1GK3Y0Zdufrqh6RWrd+lZ89nI/ozoOBy/F1MmiTy\n+ONVg2zHeSeu+HOjGoybWk/1wjPPnJBWrZZUu6HWNJv88ktRQMeLBfZMH+HkeC74MhTHVdDry4Rs\nXzieK+56MaI+oHb8EBISEgKa5e58ET54UGTsWJFevQIfdxgIV5WEr0Gpr90fzvubN0/koouqb+f8\nWWVlnZZmzVbKH3/4ftLqrTi9BVOO7yUpKanKNjabTcaOHSvjxo2THTtskphYfSz1iy+qzC+xxt33\nolp3RI4eNbBwTvy9KYvGANqZzWaTAQNekDZtSsTft6U+z64C/C6XXuohJQLFpF27VPq5Q4f8G+oT\nqm3d8VQv/PGHSIMGag6NvT7o2XO4NGpUGvDxYkE4M33YOZ4Lrs6LPXtUkP/kkyLduuVJXNwMAf4u\nwM2SlvZXueyyyz2OSvCHL/FK1AfU9g8hISFBCgsLPX5g7n7Irj7IsjKRf/1LpHFjkc8/97jboHFV\nSTj8ta4AACAASURBVPgalPra/eG8v0mTbpW4uAOSmnp7tYC0bdu2kpqaKj16PC/t25dIkcPNvS8t\nh3orTm/BlGMrtLeA629/E7nllqqPjR6tcnLHGk/fS69e5sr04e9NWTQG0M527lT1UiDfk/3z7NBh\nsjRvXir79gW/fBS5pkwRueceffsIx1A/b/XChAkiL7xQWR989tmxoKy9EM3CmenDkxMnVOzVt6+6\nuRs9Wq3i267ddAEmC/CYxMV9JOefXyJNm6pMXkuWqJhND1+uHVEfULv6EPz9QXv6IJcvF2nRQmTa\nNNWCF0rVW4WzJDU1VZKSkrzeLDgGl566P5zfqwpaHxNgurRt27ZKK7eaiNJLgAPVxiCHY3KXt0rT\nZrN5Hdtnd+iQ+nHu3Kn+Li5WrRi//x6Sokesa64Ref99o0tRKRYCZH+NHavqI18414WOn+fDD4tk\nZOi/EFFks58jQ4ZkisVSKrt26dtfOK4N3uqFJUvUcD77uf3aayK33hqSokQNozN9FBer76lpU5Us\n4Ouvq06SdNV4WlCgWq/PP1+kf3/V+BnK+izqA2pX/Bkm4UvgvXevWq57zBiRI0fcbqb7ztx5kqVj\nGkBvFZPjEAd/jq1O0hZSo0aRDBgwuEqLb82aTQX4Vdq0ecCnVv1g8yWY8ifguvdekbvvVv9fsUKk\na9fK5yIlLVSoPf64yEMPhW7/Zv+czV6+Tz9VgYKv8zs81YVnz6pWoDfecP1as38WFByV58gDkpy8\nWPf+gn1tCOQ8LCsT6dJF5WAXEenceZHbRchIMSrTh4iaDJmSIpKeLrJhg+ttPF3rS0pEcnLUDUG/\nfurmIBRiMqAOZJiEt4D1zBk13rZ798pWTl/2560y8DZu2t+KKdDW+REjzkq3bi9VHDM+vp6o/NzP\nydixY92+LhIqJ/tncumlN4jFUio2m8rPe+edlduEo1UlEuTkiIwbF7r9m/1zNnP5zp5VOaW//tr3\n13irCzduVOn0HFcUtTPzZ0HBo86RmnLuufslP1//BIpgXxsCPQ9fflnl1hcRadBgrQCDeS574SnT\nh/062rJlS0lNTfU5xvAWk+TkqDro9df1ty6Xlqq1FJo0UY1nwZ4PFJMBta8/aH/vpMvKRJ5/Xi3b\nvWaNb/vzVhl4Gjfdu3dvGTt2rF8VU6CVz5dfivTuXVzRyt2mzYcCfCt9+/aPiKDZE8fPpHXr7+SF\nF0SGDROZN69ym2hIpxYMGzao5YZDxYjP2Z+bTDOfB//6lzpv/eFLXXjvvSI33VT9cTN/FhQ8NptN\n+vd/WVJTVdOk2XomAj0P7ZMTDx0SiYuzCdCsSio9s7w/M/GU6cO5oc/XGMNTTPLccyqzlKt4yi6Q\n8/HQIZE//1mtgvzDDz69xCcxGVD7KtA76Y8/VndUX37pfX/eKgNXz+u5ww+08ikpUSf25Zc/IZ07\nPya1a++XkSNvjIoKx/EzWbDgqLRuLVK3rlTJkBBJLe6hdPq0SK1arnOTB4MRn7M/N5lmPQ9OnhRp\n1kylegy2o0fVPJFly6o+btbPgoKrrEzkwgvVcCIR8/VM6DkPr71W5JlnROrXL5Px49U+zPb+zMRT\npg/7ddSepthbjGEPhO35pZ23f+op1eO2e7fnMun5vubOVa3VTz8dnDlwDKhDZPlykaQk1U3hibfK\nwN/Kwtvdmp7K54knRBITFwtwQICeUVPZOH8mXbqoSQz+MlvLTah06CCyaZPRpfDs5ptvl86dp0mz\nZoukY8cSqVdPtUZ17y5itYrk5lZWoNHQ0vraa2oyYjC4Oo+zs1WGFyPGT5Kxli5VXf0lJepv+++l\nbt26QV+BLty++krNOXBMDRsN9UGoeMr0Yb+OestJbucYCLds2bLK9o8/rnpC9+71Xia939fOnSID\nB6r6058hIK5WcWRA7eYDCsYP6eqrH5Y6dXZI27Yf+5yfWW8ZQnl3vX69CFAqwISQ5Y42g7FjA1vA\nJFZaNkaPrjocxkxKStRKf3FxBwTIE+AWGTZsithsqot31SqVX7xPH3XT9MknIocPR3ZL65kzIq1a\n+ZYmz5ffn6vzuKxMJC1NZObMIBacIsL48WppejubzeZy1bpIVFKibrSvuKLyMfa8uBfMTB/uAuEZ\nM1Td7C1lZ2X2Gc8rYPvizBmRrCyViGDbNt9e41hPOv4ehAF19Q8oGJWE2l+CAN9Jy5bL5dQp/xYj\nCaQMobq7PnNGZTLp2LFE+vSZGfC+IyHo7N1bdQOtWuV5O+fvMlZaNu6/X3XHmc2OHaqlITVVZODA\nOz1+F2VlInl5It26qXGBkZwecfZskT/9ybdtffn9uTuPv/9eBe7+rLxIke2330QaNaq+dH2k13WO\ndXevXsWSnm50iSJDMDN9uLpx+fZbde11XmTNlWDHEmVlakRBkyYi33xT9TlXcZurVRwZUDsIdiVh\n31+fPgPl8svPlF/ox3g8CfSWQc/dtbtgv6xMZNIkld0hN1ekZ8/AZttmZWVVpPoLxlKgoXDwoGqx\nePJJkZtv9ryt8w86Vlo23n1X5IYbQrd/5/PQ1Xnp/Nh336n8pM89p4Zy+PpdnDmjFgVo1crzxBcz\ncXzvhw/bJCXF98WlfKlfPH12o0dXba2kyOepkWfKFJH77qv+mkiv6xzr7kaNtkhCggoSI6EH1Wie\nMn3osXWrCmYXLvRt+1Dd1C1erIbrvvZa5WOugnfH34D9/wyoHQS7knDcX2mpyAMPiMTH7xagncfF\nSOwrEIb7R+3uju+JJ9T4yaNHVbAS6MxYx/27SrVnBnPmqBbL/ftFLJaqExOdRXorTaCWL1c5QR0F\n80LkfB66Oi8dH7v44qelcePqrQr+sE8k/vZb9V7sCxg1b97ckN+iJ47v/dJL/086dPB9Qk0gdZzj\nd5uff1SSkkSOHw+w8GQ67ur9o0dFGjZUPT/RxrHuTkoqlZ49VWNRJPSgGs1Tpo9AnTih5i65y3lv\n51gX+TpW293rPb3u119Vee68U91o+XqtZ0AdZi+8cEJq1z4s33zjfvS7UT9qVyfNu++KtGlTdXLA\nP/6hUs448uVENXMAWplD8yt59tkTIiJy1VXqLtXde4v0VppA2WwqC4pjL0Uwz1nn88TVJCj7Y+ef\n/xdJTCwNSuqjxYvVkt09e06ulv7JTBdYx8/nqqvOyIsvhvZ4zt/t+PEqT7sIW/Sigbt6+eWXVR0Y\njex192+/FUnduiLTp4tcfbW5r1Fm4SnTR6Buv11lXPHW8633OuPP64uKVBrSkSNFduzw7VrPgFqn\nQC4on3+uWsPcTewy6kftGCBmZWVJt25TJS7uD1mxouryj7//roZFOBbNlxPVzAGofYlyoFAGD75D\nsrKypEePyVK37m8ycGCq6YIqoyUlVV3AKJjnrPN54moSlM1mk6FD75NGjUrlu+90Ha6KhQtF4uIO\nC9BZAEi9evUMvcC6ql8qZ9PbpEEDNUwplJy/259/Vjcex46xRS8auKqXS0pE2rZV4+aj2bJlKiWg\nPSf1NdfcJo0bN4747CWh5CnTRyA++0w12hUVed9W73XG0+td1bXFxSrY79ZNzSfwhgG1ToFeUFat\nEmneXLUCODND4Nm9+70C/C5Af5fv66qrqo6ljPQ7ezW2+3wBdspll411+F63SMOGYyL6vYVCs2Zb\npHv3KRWVT6jPWefz68ABlYllzpzgH2vGjOMSH79fRoy4KaBuxWDyVL/MnCly+eWhL4Or73b8eJGX\nXor83z25Nm+eyIABRpci9N56S+TGG9X/x48X6djxed4gehHMTB9796q5L0uW+NY4qfc64+n17ura\nsjIVpzVr5v0GkwF1ABy/ePvszkAuKIWFIp07i9xxh5ocFcpyuiubq20WLLCvHJXq9n19+626a7N3\n0ZjhJkAP9T3eJQ0b/rfKkIKWLV+Uyy8/FtHvLRSaN/+vAHeF7cLjeH6VlYmMGqXmJITK44+rceJG\nZ7TwFLBedJHI/PnGlGvFCjWR88CByP7dk2uXXBKam1WzsF/32rSZJ9OmnRQR1XNssfzMG0Qvgpnp\n4/LLRR5+WP3f6N4ux7rW1WqZX3yhRhZ89JH7fcR0QO3vcA379vZMFfbJdfrumNTM+YEDRfbsCWgX\nbvlygjpv8/XXqjv3iy+OenxfZWVqFSPn1dMilc1mk6ZN18r77x+v+DszM1O2by+SBg1UlyBV6tz5\ndQFeN+TC88orqps2VKs1iqjze/x4kcmTQ3cMX7i7Ud28WQ27MXKhlUsvFXn/feOOT6GxapXIeef9\nIYMG/Slqx8ZXXvdypWnTSZKWlibDh4+WxMQSGTHirqh8z4FwFyO1a6c/08enn6p80/ZGC6N7uxzr\nWnex0/r1qmf08cddj/eO6YDa3zsix+2D+cWXlqpMGs2bi+TnV38+0Ik/3k5Q5zR2M2YclyZN1MpY\nvnj+eZGJE4NTVqMdP64m2h05Uv25q69Wk1Zikbvvc968Y9K48U9h/47XrVOtBL4m39fj8GGR5GTf\nU9KF09SprtOZhdNXX1XtpaLocP31Iu3avR7VQx/s18a4uH3SqNGFFe+1Xbv5Mm2a0aUzD3cxkt5M\nH0ePqh4uxxR54e7l9hSreIqd9u5VDTrXX1+9BzOmA2p/74js2/fq1cvtyjx6AsqvvlLjiZ59tnKZ\nV5HAu0K8naCO++3c+X1JTvZvSWl7zubDh92XNdwBdqDHmz9ftbi58tVX1dPExQp3596uXepcDacz\nZ9RKVuFsFV2yRL3PYPce6VFcrMbzbdwYnP0F+pspK1M56b/8MjjlIOPt3i2SkCAyZMj4qBz6YE+J\nabFYJDGxndSuXSoWS6OKOi4t7X7p2JE3iXbuYiS9mT4mTxa56aYgFFAHV9c2X1dfPHFC9WCmpooc\nOFD5eEwH1P7eEfmyvd5xQIWFIoMGqTFs27erx+wndWJiYlBz4qr9NhCLZaH06lUsu3f7v4/27f+f\nvfMOj6pY//i70iGEJCQYIJRQpEkJJLTQCRCCmqBgh6tiYkWuDRSsCJarYgW9IMr1IgoI93J/UqSj\nNBVFmkAAAYHQQjYJgRCS7Pf3x3CyZzdnd8/ZPXV3Ps/DQ/bsOTOzc6a888477/sTWrb80GO0QL3t\novzN7+GHgXfekf6urAxo3BjYs0elQloITwOqw8E0+uLFlNa8+SZzYeRtstNiAffKK8CwYZXzNWo3\nZs0aoFs39dILpI/On+95IWrV3apQ5vnngfHjrX8mxhOuu8xJiIg4UnEOKiEhAXl5drRqBfzyi9El\nNQee2sGXX/rv6eP331kAl/PnjR0jpOY2JWNheTmz/27eHPjpJ3YtpAXqQPEVjtLfBlJeDrz7Ltva\nfvdd58Gf5GR13betXVuIOnVOIzPzCq5c8S8N5rN3n4s7M3EH1Nsuyp/8HA5mFyVo56Xe6/PPs6hh\noYa3iTUxkQV50YNjx1gI5DvueN7rAOxN6+DvoH31KtCpE/DVV77z0oOHHnL6gVaDQPpoSQnTlkst\nNo0+ZMRRxqVL+plTGYXQ1okITZu+hNGjSyqNcS+9BPz97wYX1OT46+nD4WAL8Fmz2Gcjxwipuc2f\nsfDbb9m5s6NHuUAdEFLmDcnJyYiNjcWxY8cCTv/AAaYZa9uWRXFKTVVHOM3LAx59lG1lL1oUWBlZ\nmfajTZsHJcukt6ZDTn7uAtaePWyVKWggpTq5EBZVy4NwVmPMGGDuXH3yuuUWds7A1wAcqNbBEz/9\nxA4B5uY624/gG1vPbfGyMtZv1RR6Au2jL7/MhHx3jD5kxFHGJ58AJg1gqxp2ux3p6enIyMjA+PHF\nSExcWmmxfeAA6+tis0uOK/56+vjvf5nZnvCcnDFCTy22v2Oh4LSAC9QBoId5g8PB7HvbtAESE0vR\nu/c/cOGCf40qP5+ZNcTGMmflaniusNvt6Nx5HkaP1sDvn0a4v6e33mILDAFPnbx3b+aEnsN4/XV9\nDsYJ7f/KFd8DsFpaBykmTGARQsXtJy4uTldhcdMmoEsX3bKTRU4OEBHhGugJkH4XVjYDsXLZ3XH/\nLeXlzOPCxo1Gl0w/RowAOnSYIjlnd+vGTKs4nlHq6aOkBGjVip1JEtDDjFZAj/7LBeoA0NO8oayM\nnapNTGTa1EmT2LaLr8MTJSXAhg3MLq5GjSI0aLAGycmPqVI+oYEOHnw7wsMdyM0NOEldqLwQYj4m\nBex2O+Lj4yvZq8+Zo08gDauwdClz+aglpaVsol+5kn32R4Og1i5JYSEzDerefaJhmtfx45mm3kik\nJqa77oJLCHRPk5eVzUCsXHZ33H/Ld98BCQmhdRgvPh7o12+cZF+eMYMtnjmeUerpY8YMdgZGKWrJ\nVXr0Xy5QQ72Vix7mDQ4HsHMnO2XbsiXTDA0YADzxBLP9evNNNuE++CCQksK8cCQlse969BjlsUH5\nUwfiBtq06Q8uE6qZEb+nCxeAunXZFpYYqc5XUMDqU3yqN5TZv5+1QS355z+BQYP8n+jV1kosXgx0\n6FCGUaNu122LUkgvNTUNjRqVY/9+//Jxv9/fckr1ja1bWVsoL/d8D2BtMxCzlt2f9+j+WwYPdnrP\nCSZNvCeKioBatYDz56Xn7FOnmLcTowM7mRGhfbRosRCTJ1+W9Ux+PrMz3rdPeX5qyVVS/Vftts4F\naphH8+DPyz17lm2hvPMOs2WcOJEJ2598AqxY4Sr8eZsQ/KkDcXrLlxeiTRvraTj+9S9pu0FPdXXv\nvdLh4kORq1eBGjW0m3SKiphv9p9/9j8Ntfu2w8E88MyerV+ezvR6Ijz8L7/zcb/f33JK9Q2HA+ja\n1bnT46n/WNl7hFnL7s97FP+WXbtYPysp8T89q7FjBzto7I3Bg9mBM44rzvZxL5o0kRe04sUXjXeT\nJ9V/1W7rXKCGeTQPWg9k4gYlCO9xcXFITk7264CVOD2Hg4VRV9MGTw9NSUYGMG9e5eueJs9165jv\nXQ6jbVtg9+7A0vD0nqdPB26/PbC0PfXtQNrWjh3sHEJ+vrI8/UVI7/rr/42JE4srXVfqR1+4399y\neuobX3wBpKZ6v4ejPoG2t/vvZ31NrfSsgBy3b3PnchM/KYT2ERExCLVrH/I5hp47B0RFMS8YZkPt\nts4Famg/+MudvOW+XDnp+bpHLLyrdcDqvfeYLaVaaL3AuHQJCA9XdjizvJzZ0e7apXpxLMnIkcDC\nhYGlIfWec3OZm7zs7Mr3KxGGPR2Mq1evXkBt6/772W6Q3DwDwW63Y9So0WjevAy//+5/Pu73q13O\n4mK2rXvwoH/PqzGu6Y0ZyhPIezxzhpkNis+/hMJiSE5gkvx8Nj/o6WvfCgjto2fPQSC6DKIqiImJ\n8dgHnnoKeOwxAwrqBbkBXOSmI/x2LlDrgFzBUO5A5ik98cv15bNaEN7Dw8NVW6FduMBsjNVy2K61\npmTpUratJyC3zM8951mYCjUmT0bAoXql3vOUKUBmpvT9gS60xM9HRkb61bZycvTVuuzfz0L1mt2k\n6rnn2HkOf5DzXs1mjmC28ijlpZekXR4GO7fcIs+c49Zbgc8+0748VoSN24dRu3aCxz5w4gSzRc/J\nMaiQHvC337rLCO7pcIFaB9TedvaUnvjlxsbGehVGBeH92LFjqmojxowB3n5bnYlGa03JmDHAxx87\nP3srs/hdbdlSgDp1LqBfvwGm0ZQZRSARswQqa06BGjUuonv3OytMktQMniQ8HxkZGZC/+ClT9PME\n8O671hB8jh1jC42iIuXPynmvZjNHMFt5lFBczHzrC4dc3TGD9l0rWrVyBvLyxpIlniOBhjp2ux0N\nG/6CTp1e8dgHHnvM1bWqXm3KVz7+9lt3GcE9HS5Q64AnwdBfodNTeuKXq7agLJfNm9lglZqaZuqJ\n5upVNvGLw627dw5vGv86dQ6BqJ9lNVNq8csv6tuUT50KXH/9ykomSUI9B7rQUmuhZrezyHJKfLH6\ny+DBLCiCFbjppspaPTkTqZz3YjZzBLOVRwmffsp8MQv40r4FC5cvs8PUcoJ0FRczDat4nuA4ee45\nYPLky5J9ICeH1d3Zs85rerUpX/n422/dZQT3dLhArQFq20zLxQyDu8PB/Jl+881Fw8vijTVrgO7d\nXa+51583jX+bNnNB9E/TLhj04uJF5n5KaVQxT32ksJAJqX37Pqi6SZIWvP564AcnfXHxIhAWxv63\nAsuXs8AYYoJVOBOwmja3rIy5OfzhB+c1X9q3YOH334H27eXf/8ADzIsWpzLediiffpoFwxKjV5vS\nKh9fMhYXqDVAbZtpM6Bkwpg3DxgyRKeC+ckjjwBvvOH9Hm8a/z178lG9eiHOnDH/u9OauDjgzz+V\nPeOpj7z5JhugtTJJUpuiIubxY+dO7fL473+ZT3mz4/SXPQJNm5a5uDsMVuFMwGoLhoULWeRXsU2+\nL+1bsLBgATBqlPz7161jLiE5lfn1VyAq6kQl2eD8eaadPnHCVXY4duyYZNA0tTGq7XKBWgN8TR5q\nBVjQEyUTxpUrwPXX++fEXQ+uXmXeCI4c8X6fp04pvK+oqF2YP98PY9EgY8gQppVUglQfKS5m7WbP\nHg0K6YNA+uAHH7hunatNVhYsETRJPEZ07Djfxb48WIUzAS3cM2qFsIu4bJnr9WB/RwIvvMAOY8pl\n3LgsVK9+Hn37ZgZ93Sjl0iXguuuugKiKi2wwZYrzzIe77GC1xacSuECtAb4GJis2MKUappdfNvYQ\nlbeJbPlyoFcv/9N2vq8HERe3NcCSWp8nnlC+JSrVR+bMAdLSVC6cTALpg1euMFeKW7aoXy6Hg+0A\n6GGnHSjiMSI7Ox/16pnX5Zi7H36touQaMbb7EuJXr2YmD0JUy1Dj1luBb76Rfz97h++C6FXTzs9G\nUqtWDohuEO1sMJenwq6lWv7vrQAXqA1AzwZmVFj106eZf1MlPp7VxNtEdvfdrt49lCK8ry5dBqJu\nXYfHAB+hwqxZLNR9IJSXsyAx69apUyalBNoHP/sMGDBAfbd2u3cDLVqY310eUHmMuOsu5pvejIjH\nBy0FXiOEB19C/KBBLEJsqKI0GBV7h11Ro8ZfyMsLLgFQDVJTr6JXr7cr2vdrrwF/+5vz+8penIJ3\nJ4QL1AagZwPTU0PiLryPGQO89ZamWXpEmMiio6NdNFAXLzJf2eKQ7EoRv6+MDODzz9UrtxVZvx7o\n0yewNL77jm1DGyU4BtoHS0uZdxs1I4UCzKbcbEER5LJpE9CmjbGLAU+aaC388EthhPDgTYj/+Wfm\nz1yOh4tgpKSEefi4ckX+M3Y7C6zUqlUZtm/XrmxW5bnnmBANsIPTMTHW2FHTAi5QBzl6akjchfcd\nO9hWeGmpptlKIkxk7u7u5s9X16xg0SLX4DChRmZmJmJiOsJmO4+UlBSfbczTjsmAAcD8+YGVwyhb\nVSHvG2+cgQED1JVUBg+ubOtqFRwOoEMH43YdAM+aaKscevUHb0L8bbcB779vQKFMwt69wA03+Pfs\nq6/6H7QomHAfa8WePt55R3uvR2aGC9QKMeMhE2/oqSGREt6Tk4HFi5336F1/lc1rgK++Ui/9y5eZ\nacupU+qlaSWcAosdRPV97oJI7Zj8+mtgWjM1Qon7i2ve1VC79jls26ZO2sXFzF2eYFJktbEHAHr3\nXoCYmPWGlVkvTbQVOHCAuaQUgu5YsT0FysKFwMiR/j2bnc0OTRuhIDIT7mP4r78CHTuy8TsuDtix\ng90Xiu2LC9QKscIBQqOQEt4XLWJCtYC3+tOiA4rLdPYsM/fwJ4qbN+67j0WyC0UEgYVoG1q3vt/n\ne5NadI0dC/zjH/6XQdymPIUS12pwd8/77bcv4aab1El73TqgZ0/pvMR9x8wTV3JyGojyQBRryHgZ\nrJpoOe/c/Z577gGmTXN+H4pz2csvMw8U/pKUBHz/vWrFsSTuY/ilS0DNmswuXxxV0urty59xlQvU\nPnCv1GA+oaoFpaXsUJUQQMBb/WndAWfMAO69V/VksWZN6PoptdvtSE9PR5Mm6/DBB5dk3S8WbHJz\n2SLn/Hn/yyAnlLhWbcs97+JioFEj4LffAk978mTXyd9T3zHzxMXK/E80ajSLj5cqIuedi+8ZNmwC\noqOBggLn96E4l40eHdgO5fvvMwVAKCOlOGvRAmjXjp2FEbB6+/JnXOUCtQ/cKzWYT6hqxezZQGoq\n+9tb/WnZAR0OZjv344+qJguARR1r2BDYv1/9tK3Cm2+yyFhKeffdwBc5cvqknpGzZsxQFjjCEz16\nsAOf4rykgiKYeeKy2+1ISXkWjRuXK46myfGMnHcuPpgdE7MKrVvPc4l7kJKSgoyMDNO1GS3p0MG/\nxa5QZwMH3o169cpx+bL6ZbMyvXoBjRu7umK0uqzkz7jKBWofmG2yMvP2rieuXGGd7ddfvd+nZQdc\nu5bZeWnlceDJJ1nAgFDlv/9VftjT4QBat1bff7NUH9FzcC8qAho0CCywkd3O7KeLi12vS2lNrDBx\n9ehh3cOVZkTOOxfuSUi4C0RnQVTXMnEPtKCkhJkm+CMMi+usQYNdWLiQXbfifKwFLVoA6elGl0Jd\n/BlXuUDtA7NNVlYdDN97j50wN4rbbmP+krXil1+Ali2t4S9YCw4cYIOqErRa5Jihj7z+emCad0/h\nxs22wJfLvHnOXSotMINgY4YySNGo0ToQPR8SgTW8sWeP/x4+xHU2c+alCuFRPNbExsaGVH0K7N0L\nhIczc5pQhwvUJkZqgLbqYFhUxPxT/vGH/nmfPMk8cRQWapeHoG396Sft8jAzV68y/67uGlVvjBoF\nzJypflnM0EcKCphHhcOHndeUCFzjxzMzGnfMtsCXy+XLrD6OHHFeU1MANcMiSq8yKKm3XbuAmJhy\nZGSMDYnAGt74+msWJdEfxHWWn88EyLw88aFs6ym51OKBB4CHH2bKEW+YdcGpJlygNjFW3d71xLRp\nLHqa3rzyCuvwWvPyy8CECdrnY1batZMfgSwnhy1yxIek1MIsfeSll1wjSCoRuNq3Z7sewcRTzN/8\nlgAAIABJREFUTwETJzo/qymAmmERpVcZlNRbWhrwwQfs71AQaLwxZQobo9Vg1Ch2NshutyM2NhZE\nhLCwMFm++IMJISLy8ePMnMabS0EzLHq1hgvUJsYMk4SaXLwIxMaq4wFBLlevMvvtXbu0z+vAAfb7\nQvXw1ciRqLAt9EZmZiaaN5+DJk2WB0W79kRuLhAVxSYbQH5/zskBIiODrx0dPMh2qYQodUrHN28C\noRkWUWqVwZfgK7feNmwA4uOd9R0KAo030tNdYyIEwtKlLBgVwN57dHR0SNbtlCnAo4+yv1u08B4h\nMdjkGSm4QG1izDBJqM3HHwNDh+qX35dfOgc+PejaldkGA8o1QlbXID3/PIsm5ot+/QaC6BiIugT9\n5DNxojN0uNz+/PXXwXfAR2DwYKfbMiXjmxbBe8T9bezYsar0PX/6sPszvgRfOfXmcADduzvrOjMz\nE5GRkSAiJCQkWHJ8CZQWLdTzxFRczBa9J06wz6EgLLpTVMTMuA4dYp9vvhlYssTz/cEoz7jDBWqO\nZkhNLiUl7PDe2rXaC5Dl5cxNkp6O+N95h9mUAa4aofj4eJ+/1eoapC+/lGfS063byyDaFhKTz5kz\nbOI9fVr+M488wlzvBSPffgv06SP9nbfxQE7wHqWI01RLw+hPH3Z/Rq5w5q2+Fi8GunRxujET55Ee\nrKs1LxQVAbVqqRflMDMzE7Gx36FNmzmw2+0hISy68/HHrlEnJ00CXnvNuPKYAS5QczTD0+Ty9ddA\nYiLQr5+6AqT7BLNsGZCQIO1FQith/sQJoEaNIvTtO6Riko6Ojq4Ifeztt1pdy/Hzz6y+fTF06FUk\nJX1syd/oD48/Djz7rPz7O3Rwhu8NNq5eZYFvpGztvQmjcoL3KEXc31JSUlz6nr/jg5I+LOQhjBPC\nM3KFM0/1dfky0Ly5c6dMabmCkZ9/ZgsMtWB1PxBEv1lS+REoZWVMMbZ5s/Pal18Cd95pXJnMABeo\nOZrhaRAvLweio4+idu1HVN2CFE8wo0bdjk6dmPsxX/eqPSDWq/cbiDJARIiLi0NycrIs7ZrVtRwF\nBUDt2q7O/d05ehSoXx+45DuoYtBw/Dizpb5wwfe9Y8Y8iSpVLmLYsBGVzBCsbhIk8NJLTrtLMd6E\nPm99w+Fg3kPWrAH69/8cLVrMRPv2H2PWrCKsXcts2aUQp+mevrv2Wm6dK+nD4jyqV6+u+ECbp/p6\n5ZXKgYWsPrYEyuefqxMl13URdB2qVTuLbds0OFltcpYsAXr2dFVW/fqrb08fwQ4XqDma4W0Q79o1\nC0SnQVRftS1I8QQzd24Rund37fBigcRdI6UmN974PogWVvL7qqZ2zaw0agR4+4mTJwN//7t+5TES\nti0ci8jISDRqtAKTJvn2KdihwxQQrZA0Q7CaSZCnBcCJE8wM5uJF1/uVCH3l5SzM8bhxQNOmLFLp\nwIHA9devAtG7IJqFZs02om9f5uKsaVMgMxNYtYqZnflC6LNhYWGa1blUHjExMQEJ70ePuh6E5TBu\nvHE14uM/DXgxKu6DcXFxGD++GJMmqVhQi9CrV+UDnpcu+fb0EawIYx0XqDmGwCaT91C//v+pJtAK\nE8zp03a0bMk0VmLc7Qi10tj8+Wc+qla9hOPHQ8/v6+DBTGiRoqQEuP760AnRLm5vRC1RvXqBVzeB\nmZmZqFFjFogmISEhodKiz2rb9t4WAM2a/Ybw8GcRGRkpSzMrTFhDhmRg+vTLaNEC6NaNuYT74w/n\nwlmqjsrLmfeBt99mWrXoaLawO3XKc35Cn9Vy4e2ehxrC+8iR3I5VisjIn0E0POCFkXv72ruXKRGC\nzSOPN7ZsYd5jysoqL5p9efoIVsRjHbhAbV2sug1st9uRkTEGjRuXY926yt8H8rtef515SXBPQ0+B\n5OabgX/9S9MsTMljj7GomFIsXKivxxW98dTeBLOm224rkQzWIsAG5R0g6oX09PRKCzGrLcy89beO\nHZ8G0U7ZAiQ7b3EXiP5CXNxWbNsmfTZCTh1lZ7N2GhHB/ISfPOk5Xz3qXC3hffly5slCSXClUKFG\njVwQNQl47JdqD0lJwMqVapTSGtx6K/Dhh+xv90WzL08fVkOuHCIe68EFausibtBWDH26bBnQqlXl\nKIaetFu+Grhgo3vkSOU09BRIvv4aGDZM82xMx0cfAQ89JP3dwIHy/FSbDbmDqlR7S09PR0ZGBux2\nO/bsYRr6y5eln09JuQ1Ehejatafl+rEU3vpbamoaiA6BqIfPMxRHjgCRkXtA9AvatHlAtbq5cIF5\nJoiKYi4fA42kGqhyI5DxyW4H4uIgqZwIdXJzgbp1HRg1Sn7dCu9SOAPj7Z3OnAnccYeaJTYvhw+z\nHR7BXMt90TxpEjB1qrFlVBO5ZnZC3+UCtcUJhtCnDzwAjB3res2TdstbAy8vZ0LbW295T0MPioqA\nevWAs2d1zdZw2MEw12uZmZlIShqD6tUv4OxZ6fdg5p0WuYOqnPaWnu7U7rizaNFFxMTsMd3vVwvx\nOz527Bjat/8CTZqs9/p7v/qKTeDTp1/GqFG3a1I3J06w8adpU+D//s//dIy0cRfCPwuYuT/pzcaN\nzOZXCa7mWt7f6YULzE4/FKr5scfY4lPAfRE4cOAcREdvUNW3u5EolSG4QG1x7HZn6FOr2Fa6U1TE\nwlZ/+qnzmidtjbcGPmMG0KOH057N6C3yu+9mvjpDiZMnmRZWDJucZoBousdJycwH7uQOqnLa288/\nA02aSB+Me+45oGvX/1luEpIbIMX9HZ8/zxadUl44rl4F2rbdhFq1jqN378d0qYt165grsDvuYP7D\nvSElsBq1gF+1CmjWzFXDbub+pDcffwxkZSl7RniXgrtTX+901CjX+cusBLLQOn+emUnl5HhOLzHx\nbyA6KHmo2ooolSG4QB0EGC04qkF2NtCgQeWDhO64/1ahQ/fo8SwaNCjH0aPal1Uu330H9O5tdCn0\nxeEAwsKAvDzntaFD00F0Hh073uyxjZr5wJ2S/iVnwho6FJgzp/L1Xr2ATp3+XmkSMru20d3FnKdJ\nVOod33svC4Ykxm4HGjX6A1WrrgRRmK4T8uXLzAwkJgZYsMDzfVICq6exScv3dv48W6CtWaOfFyOr\n8fDDnneFPCG8y2PHjsnq+999xw68mp1AFlqvvuoMWgZIRy8dNmwEiC4hIaFPSLZBLlBzTMPGjWx7\n98cfK3/nPjkJn1k43Q4gOo2+fc11vP3qVfZ7/vzT6JLoS2IisHWr8/OsWUWIjf01YO2uFZAzYW3a\nxDShYvdSV64wH95DhmRUmoTMrm30FiBFjPgdC/23Z8+n0KJFWYXv8uPH2W5V48aLQXQdBHeT7mnJ\nEVYDEWh37ADatAHuuQfIz/f+mz2lrfV7Ky9n5zQmTqycn5ZejKxGnz7A+vXa5lFaCsTG+vZwYfTi\n2F/FxeXLTOH1xx/Oa+L2JvRRu92OiIgjWL26MGjGdCVwgZpjKr7/ngmhy5a5XnefnJyfE0B0EvHx\nk03ZcR9+mHkdCSXGjGGBFAR69AD+9z/jyqMnciesPn2YfXCbNm1Qr1491Ks3DB06XJGchMykvZcS\nCMRlljuJivtzvXpHsXo1W3g2bw68+67vyIhSwqp72QIVaC9dYv23WTPghx9cv5PzO7V+b1OnAn37\nOhdmZmonZsHhYGZF585pn9fTT7vaF0th9OLYHyE3MzMTrVu/g5iY7ZLjknsfvf9+p/mL0QsIveEC\nNcd0/PQT0Lgx8NRTzL4aqDxZMC8BmahSJQ9JSW+atrP+8EPoRY9KTFyKJk2+wvDhw7FpUyGaNAkd\nP61yJ6yVK1mI8fDwiGsT7ATUqSPtZ9FMmh6lAoGnCVXoz9HR0WjR4h+oX38H4uLKMXMm+97Xb5YS\nHt3LppaA+b//sXMBU6awXSe5ePsNgQoaq1ezYDZiX9pmaidGIq7bvXvzK53p0Irdu9m85W2ss+Ki\np1+/gdfsovu59HlP7e3994FHHmF/G72A0BsuUHNMyblz7FDf9dcDL74IrFxZiLS0R/HDDwWYORO4\n8cYy1K9/AJs3ywv7atRKubycubPavVu3LA2nffsXQLQMRIQWLVbzQBMSOBwsMEndumNARKhSZRHe\neee80cXyiVKBwNOEKkzGycnJIGoPojJ07DhfdjnkaPLVFDBPnwZSU5nP4exsdk1qTPE0zgSiPXd/\n9tZbX0W1anno3n2iamNZMGkSxXXbt+80DB6sX97dunn3SW2FRY97W+jadSqIfkK3bvL6/IYNzrND\nVlxABAIXqDmmZu9e4MknmV1u06bMvvKee4AVK1BhdykHOVvEaiJOe/z4Yp9bgcFEnz5ZIDqIhIR+\nqFevHDk58gWNUGLpUqBjxyto3DgOcXGllogwplQg8DWhDhp0J4gOomrVTWjY8JuA2oHWworDwfys\n168PzJolBJtxHVM8CcqBaM/Fzw4f/hiqVz8HolGqav2CSZMortupUy9jwgT98v70Uxb4xMq4t4Xu\n3UvRs+e7st3g5eUBdeuy+dkKCwg14QI1JySQs0WsJuK0hwx5Bs2bS0d2C0buued+EBXjhhs+wi23\nMP9wcgWNUKK8nJl9LFgAREYqWyBaBW8TakEB0LlzKdq1W4zExAwQXQBRpOnbwR9/sAV+jRobQdQY\n9erVq7Ah9SQoC9fDwsKQkpIi23uE+NlOnYahRYsytG//sepav2DSJIrb3NixwGef6Zd3YWFl13JW\nQ9wWVq0qRHw8s9NXMlY3acKCwIQaXKDmhAR6H/YSp52XZ0e7dq6eL4IZNvAeANEBREaOwtixY695\nYyF06dLFtAfujOCbb1ik0FCLqnnlCjBoEIuq6XAI7eBzNGo0y8ULiC9tmJKdj0B3Q8TPnz9vR9Om\ns0F0FkT3YtQoadd5Ana73W+/vHa7HcOGTUDTpmV44w1ttH7Bqkns2hXYvl3dNH21o8xMYPp0dfPU\nE3FbGDmS7coAysbqm24KrhDkcuECNSdk0XIScU/7tdecBzWCHTbwbgLRKRDZXASJjIwMl3uDdSKX\nS3k583ksFbo4WM1hysuB0aOB225zDcI0bNjfERNTjsuX5WvDlOx8BLIbIuVzl7XzLqhV6yD697/q\n02THm0Di7V1v2cLOknzxhaIihzylpcwVpRAmG1CnT/lqRzt2MG81Vthx8lYfBw8yj1uCYwAlY/WU\nKcBLL2lRYnPDBWoORweOHgWiophmLtix2+2oUmU/iJb79E3MATp1kp6AtTKHUUtQV5qOcH/Lll+j\nZ89SFBdXvqdp09/RqtWMikWYrzbjy8RCfD2Q3RBPPndZxEc73nuP2VZPmsRCUUvhTSARot0SMR/S\nANPcf/ghE2pWrVJUXA6AffvY7o8YNfqUnIVReHg2vv32oss1My6MvdXHQw8BL7zgX7qLFgHXmnFI\nwQVqjqGYebBRmwEDgMWLjS6F9uTmAjVrOhAXt0V1bwtWx729l5WxAzwJCZUj82llDqOWoK40HXb/\n3SA6gltueUDyni5dHgXRURBVQ1xcnM/f7c3Ewv16IG7sfPnFzszMRM+etyEubiWiosrx2mss4qNc\nBJMoYRfnjz/YeJGUBBw6VPn+UBo3/WXBArYLIkaNPuWtHTn7RCYaN97uds1850Q81UdODjvXceaM\nf+kePMiUBKEGF6g5huI+2FhxopBb5i++YLZlwc677zIXY926GV0Sc+FuNhAbG4vNmwtwww0sdHTr\n1q7RE7VaiKglqCtNp1evv4PoLDp0uMOHf+nv0azZdF37vy+hx9e7ED+fmjoe997LDqeNG8f86vva\n/hd2cdq0uQt33lmC6Gjmz1fcHpSUl8N2C6ZOdb2m9eJe6BNRUc1QtWo+BgwYY+odOk/18eSTwBNP\n+J9uWRlQp450lNFghgvUHN2QEjzdJ2UrThRyy1xYyKJ23XPPU35tlVthkVFezgTDVauAsLDQ8Wwi\nB3E7Ef516/YJxoxh9TRgADB3rvblUEuoUJLOX38BDRuWIznZexAmu92OQYMmo3Hjcl3NowJdZLg/\nn5mZiV69MnDDDZ+jVasyNGgAjBzJosjddhuQkgL06wcMHsy2xkeMKEFY2AnExZVj+nTf2u1QP8wr\nh9RUYOjQj3UdO4U+wfyrvwei1wMKA2/E2H/2LNNOnzwZWP49elSOMBpsuNcPF6g5uiB1qAeoPClb\ncaJQUuaxY4GWLT/yY6vcGouMtWuZTbDDAcTGAidOGF0i8yC0k6pVq1a0lzFjrlREB9yyhYW51tvO\nXutJu6iImbS89Zb8Z9LSUFEvauLpt/q7yBDSS0lJQXp6uoRLTht69/4HevdmB+SaNQPi45lbsbg4\noEUL5lu/eXMgPByYMIEFkcnMzERsbCwiIyORkpIiy6SF40rDhkCPHrcbMnayvt4SVavmISfH/3dk\nxNg/aZI6kQ6zspweQoIV9/oxRKAmoigiWkNE2US0mogiPNyXSkQHiOgQEU0SXX+biPYT0S4iWkpE\n9SSe1a4WOYqROtQjhRUnCiVlXrcOqFv3sKJFg5UWGaNGsaAXANO4rl5tbHnMhNBOxD6IO3QAfv3V\neU9aGvDBB/qWS8tJu7ycaWTHjlW2W/HLLyyMs9TBxUBQ+7d6Si8uLg5EA3Dddb+hU6cr+Ppr37/l\n+HEmUEdFCYvu6yyzkDYbZ88yk5vUVGPGTqGvDxt2FXPm+L9o1Xvsz81l7U84JhBI/jNnAg8+qEEh\nTYR7/RglUP+DiCZe+3sSEb0pcU8VIjpMRM2JqBoR/U5E7a59N4SIrrv295senteuFjmK8XWox+rI\nHTBZKPJyDBnyjOzIU2ZfZAi/feDAexARUY6Ca9HgH36YeSkIZbxpGgsKmJ3h1avO+3fvZm708vL0\nK6PSSVOJcPDKK0CvXv5p3W+5BZgxw798PeGvgOApb6n0zpwBoqI2gegIiG7HqFHKzoYcPAhERu4B\n0fcgqo+6desG5ZipJatXM5MaI8ZO8bteuvQibrxROqqmHPQu/4svMrt/NfLfvJkdqg1m3OvHKIH6\nABFdf+3vWCI6IHFPLyJaJfr8HBE9J3HfSCKaL3Fdg+rj+IvWA4PRdsZKNF9TprBDH1Yy5fCG83e8\njJYtnf693n8fePRRAwtmAtztpsXvee1aoE+fym03Kwt46in9yqi0b8ptt0uXMtOG06f9K9e+fWxx\ncf68sny94e845Clv9/SWLmU+o1u0+AZE1f0+G3L+vB01a34IosMgirf0+GAEb78NjB9vTN7idz1q\n1Gi0awd07z7J40JO3P/lKlm0wG5nrh/VinBYWMjMnDwdrA1GjBKo7aK/beLPouujiGiO6PO9RPSR\nxH3/R0R3S1zXpMI45sRo4VSJ5uvgQTbpDht2k2lNOZREqmMuv6qhatVz2Lq1oOK7779n0fBCGaFd\nEFWOEpmY+B/ExX2N6tWrV9yTnp6OM2fYxCblLs0MyGnrgqb9l18Cy+vxx4HHHpOfr1b4yrukhNmd\ntmjBbOHVOBvCnnkY1113ClFRPT3aU3Mqc++9+oYcF+P+rj/9FBgy5KoMV3vkdzRNNZg6FWjVaquq\nAn2LFsAff6hQOIugmUBNzEZ6j8S/W9wFaCLKk3j+Nl8CNRFNIaIlHvLHyy+/XPFvw4YN2tUiRxe8\nCXlG2xkr1Xz16gV8/fVF05pyyF2gOO+7HdHRu12+O36cHQwKZex2OzIyMlwOrAnUr78ZRLe5aLCF\nSJJvvMG8QvgbPEVLDZevtp6byw7ezZ8feF65uUww37tXn+1vT9pCsd27O6dPA8nJzETFk5swqbL7\nelfCM61avQ6iYyBq4rE/tmnTBtWqVUPVqlXRv39/U44petKxY+CLOX9xf9fFxWwc3LlT+n7x3GWU\niz27nfWzpKQxqgr0zZv/inbtXrWEhyp/2LBhg4ucaaTJR+y1vxt6MPno6Wby8Ty5Hky8j4i2EFFN\nD3loVIUco/Am5Jndztid2bOZwGRW5C5QhPvCwn7FvHlFLt+VlwNVq15BcnJa0A6o/uJwANWr20HU\nGHXr1gURISEhocLlWt++Q1Cr1ml06DBB0QRn9E5NaSnblXj2WWXPeRIuMzMz0bLlB4iO3oG8POUB\nWZTmq1Rb+NtvzFvHq69W9jXtq2xy3xXrY0+BaBc6duwtmZbYg5LVTcgC5coVoGZN4PJlo0vi5O23\ngTvukP7ObrcjPj4eycnJSElJQUZGhu5j5eTJzKVjIIopqfberNnnIHo9ZNqkUQL1PwThmJhttNSh\nwqpEdITYocTq5HooMZWI9hFRtJc8NKs0jjEYrYVWk8JCdgo9J8fokkgjd4Fit9sxdOhTaNSo3OVw\nnTC4VqnyO4iSQmZAlcuRI0CjRuWVvH4AYkFrBKpUOQyiGqbwCCNHeJ0wgfn/LStTlrYn4ZJdrwqi\nvejZc4bs5/zNV4m2cMUKptX79ltlv0lA7ruy2+1IT89As2bfY8SIEklvKWLhv1OnTpYfHwNh504g\nIuKUoWdq3CksZCHkDx6U/t7IhXBODvPs8ddfgSmm3Bejw4cPR+fOL4BoVVDM2XIwSqCOIqK15OY2\nj4gaEdFy0X3DieggMW8fz4uuHyKi40S089q/WRJ5aFlvHAOwmhbaF5mZwOuvG10KZUgJVQ89xDR0\nYpyD63wQjUG9evW4pwIRCxYAt94q/Z1Y0Bo27BLat19YUddyzQS06CO+Jv3PPwduuEFZyG0BT8Kl\ncL1t2/vQoEE5zp2T95wcnPb/zt0Bcf15q8vZs5mf9a1blf8mAaXvqqSERR8V/HOL28KuXbvQqFEj\npKWlVexymEmg1JN584AGDdaYQlsvfg+TJhW7eNAQY6Sy6JFHgKefDjwd525lWEXdDx16H6pXL5Dc\nXQpGDBGo9fjHBWqO2fn5Z2ZrqnSr2Ejchar8fGlNuzC4Vqs2NaS2/OTyxBPAP/4h/Z1Y0Dpxgh1Q\nzM5m37nXv68AIGribdLfuhWoWbMASUljFLVbcWAUqa1ucV088wxw++3w+L1SxHWZnp4u6xmHg22P\nt2rlfCeeUHtxk5mZiaSke1CtWj62bCnwusAx2vTHKDIzM9G48ULUrv1qRVs10nOGaxu7r0IT7I5R\nyqJDh9j4kpsr735vc5PwG9x3dmJjnX6tgx0uUHM4BuFwAF26AGvWuF4382ToLlR98IG0baAwuHbs\nOBVES0Nmy88XwoRUr94BLF9eKOuZGTOYXXJ5eeX69+aWT208TfrHj7MgLDfeOElxOZS09cuXmQZ8\n8WK/f4ILSrWCJSXAPfcAPXuikqZcD5x1dR/Cw49j6NB0j+UPJvM4JbA62gCiIYiLi/PLZaGauL+H\n556DRy21Edx2GzBtGvtbjiLHV11mZmYiOTkZsbGxFTuSI0YAS5Zo9hNMBReoORwDmTULcB+XzDwZ\nioWq8nIm4Pzwg+f7t2wpQN26J0z3O4yCTUjVQVSEkSPvkfVMaSkT4j780LM7NrHZgp7Y7UCHDkzo\n9981nPxntm4FGjQA/vwz0JJXrktvAkVuLtC/PzPTMeqwm1BX3bolIiOjBOPHF3vUagabeZxcUlPT\nQJSPzp0HB+SyUC3c34PgTWPfPl2LIcnatWyHVGjPchYevupSKo2XXmK7OqEAF6g5HAPJzweqVy9C\nr17pFRO5VSbD774DEhK8h5QuLgZq1HCNBhjKsAmpB2rX3u/x/UoJdocOsUNN7j5d2YG1dI+eAbR0\nu3flCtCw4X40brzYp2s5T/jT1j/4AOjcGbh0SfYjALxHrQQ8CxTZ2UDr1sxzibt5llZIvQdxXZ05\nwwSzPXv0KY9V2LGjALVrn3N5t2YbT995B5BpYaQZV68C7doB//mP85qchYevupRKY9kyYNgw1X+C\noXgaJ7lAzeEYTGzs/4FosilNPADPg8egQfJ8DbdsCezfr2EBLYTdbkfnzl/ggQc8x+L2JNh98gk7\nlKZkcaJ0u1vu/Q4HM3+Ijt4Eout0bbsOBzB2LHDnnd4Xc+74Mo+REgY2bmQa8dmzXdPS+pyDnPcw\naxaLtKmkDoKdb74BrrlyNy3FxUDTpiw0t1HMmAEMHeradtRYeEilcfIkUwYEUzv11D+5QM0xBWY+\niKc1ycmPgOgEunbtYcrfLjV47NzJ7GZLSnw/P2KEqyYk1LnzTuaJwBOeNEUOBzB8ODBxovf0xX1J\naaAIcd7eDnNNmcLMULzZ8fqD3HHg8mW2uJg6Vf5zvsxjxMKAw8GE6JiYymccAG3OOSh9b2VlQFIS\n8MUXvtMz47iiBRMnOtuEmZk3D+jdW76Qqea7PH2aCbh6KTkcDhYZ+PhxffLTA09jNBeoOabAzAfx\ntEA8QB47dgwxMXsxd26R7wcNQGrwGDMGePNNec8/8wyL/AeE5iTvTvPmwIEDnr/3pik6dw5o1gxY\ntMjz8+7eK5RoncR5e+qT77zDbOfPnVNmhywHOYeehPT3789Hq1ZM2yZ+TvCBKyUwezOPESgqYu27\nQwfPQocWdrni31C/fn2Xg12e2LGDCSt5ed7TC9Yx1b29paQAy5cbXSrflJWxBaGnxZA7ar1Lh4MF\nFHv+eec1PcbktDRg6VJNkjYET2M0F6g5psDTBBWsApj7ALlkCQtfrAZq15n74HHyJFCjRhF69x4h\nK4/PPmNb9EBoTPLeOHMGiIwMzBb311+Zhmn3bunv1RL2pNL58EOgRQvgxAnpZ+QItkrz9JR+fHw8\nevQYjdq1TyI+/t8gcvWB60/72rEDaN+etdciL+tbLexypfz4yvkNDz4ITJrkOT1PdRkMY6u4PYwa\nNRqRkUwDawV++42ZE8nxGONPn5Z6v199xRaKV0QWZ3qMyS++yHa1gh0uUHNMgacJKlgFMPcBsrSU\n2dXt2BF42lrX2aRJQOPG38rOY/NmoHt39reZPZjogVoHdObPZ4Kt1GSslrDnns4nnzDt+NGjnp/x\nVyiUW3Zx+0lOTr6WRwwiIg6iceNtGDDgFlnty13YKCoCnnoKqFWrAG3bTkNqqv5Cpiflwsh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powgSgsjGj6dKNL4j8vvkgEEE2bZnRJAmPAgAG0adMmIiIaPXo0LVq0yOAS6cuwYUSPPkqUnm50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\nS5LmhGXzJHWUwUHYs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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(time[:500], x_meas[:500, :2], '.k', time[:500], x_sol.T[:500, :2], 'b')\n", "plt.legend([sm.latex(s, mode='inline') for s in model.states()[:2]])" ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.10" } }, "nbformat": 4, "nbformat_minor": 0 }