{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Universidade Federal do Rio Grande do Sul (UFRGS) \n", "Programa de Pós-Graduação em Engenharia Civil (PPGEC) \n", "\n", "# PEC00025: Introduction to Vibration Theory\n", "\n", "\n", "### Class 08 - Vibration analysis in frequency domain\n", "\n", "[1. Frequency preservation theorem](#section_1) \n", "[2. Reological models](#section_2) \n", "[2.1. General linear model](#section_21) \n", "[2.2. The Kevin-Voigt model](#section_22) \n", "[2.3. The Maxwell model](#section_23) \n", "[2.4. The standard model](#section_24) \n", "[3. Equilibrium in frequency domain](#section_3) \n", "[4. Assignment](#section_4) \n", "\n", "---\n", "_Prof. Marcelo M. Rocha, Dr.techn._ [(ORCID)](https://orcid.org/0000-0001-5640-1020) \n", "_Porto Alegre, RS, Brazil_ " ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Importing Python modules required for this notebook\n", "# (this cell must be executed with \"shift+enter\" before any other Python cell)\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from MRPy import MRPy\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1. Frequency preservation theorem \n", "\n", "Let us assume now that our idealized single degree of freedom system is subjected to a harmonic\n", "(sinusoidal) loading with frequency $f_0$:\n", "\n", "$$ F(t) = F_{\\rm max} \\sin(2\\pi f_0 t + \\theta_F) $$\n", "\n", "with $F_{\\rm max}$ being the force function amplitude and $\\theta$ some phase angle.\n", "\n", "\"SDOF\n", "\n", "Recalling the convolution theorem for Fourier Transform presented in last class we anticipate that, \n", "in the same way as with Laplace Transform, the system response can calculated as:\n", "\n", "$$ u(t) = f(t) * h(t) = \\int_{-\\infty}^{\\infty} {f(t - \\tau}) h(\\tau) \\, \\; d\\tau $$\n", "\n", "with $f(t) = F(t)/m$. Deriving now the displacement twice we got the acceleration:\n", "\n", "$$ \\ddot{u}(t) = \\int_{-\\infty}^{\\infty} {\\ddot{f}(t - \\tau}) h(\\tau) \\, \\; d\\tau $$\n", "\n", "but replacing the sinusoidal function we get:\n", "\n", "$$ \\ddot{u}(t) = -(2\\pi f_0)^2 \\int_{-\\infty}^{\\infty} {f(t - \\tau}) h(\\tau) \\, \\; d\\tau $$\n", "\n", "Replacing now the integral in the expression above by $u(t)$ we arrive at:\n", "\n", "$$ \\ddot{u}(t) + (2\\pi f_0)^2 u(t) = 0 $$\n", "\n", "what is a homogeneous differential equation with solution:\n", "\n", "$$ u(t) = u_{\\rm max} \\sin(2\\pi f_0 t + \\theta_u) $$\n", "\n", "This solution states that _a linear system responds to a harmonic excitation preserving\n", "the same excitation frequency_. On the other hand, whenever a system is subjected\n", "to a harmonic excitation and the excitation frequency is not exclusivelly preserved\n", "in the system response, this will be a strong indication that _the system is not linear_.\n", "\n", "This theorem is demonstrated below with a excitation frequency $f_0 = 1$Hz applied to a linear\n", "system with natural frequency $f_{\\rm n} = 2$Hz. The system equation is solved with\n", "the ```MRPy``` method ```sdof_Fourier()``` which assumes that the loading is periodic and\n", "hence no initial conditions are required. How this method works will be explained in\n", "the following sections.\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f0 = 1.0 # excitation frequency (kg)\n", "F0 = 1.0 # excitation amplitude (N)\n", "\n", "m = 1.0 # system mass (kg)\n", "fn = 2.0 # system natural frequency (Hz)\n", "zt = 0.01 # system damping ratio (nondim)\n", "\n", "F = F0*MRPy.harmonic(NX=1, N=1024, Td=8, f0=1, phi=0) # MRPy harmonic function\n", "F = (F + 2*F0)**1.05 - 2*F0\n", "\n", "u = F.sdof_Fourier(fn, 0.01)/m # frequency domain solution\n", "\n", "f0 = F.plot_time(0, figsize=(8,2), axis_t=(0, 8, -1.50, 1.50 ))\n", "f1 = u.plot_time(1, figsize=(8,2), axis_t=(0, 8, -0.02, 0.02 ))\n", "f2 = u.plot_freq(2, figsize=(8,2), axis_f=(0, 8, 0.00, 0.0004))\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2. Reological models \n", "\n", "### 2.1. The general linear model \n", "\n", "The damped spring-mass system depicted at the beginning of this notebook, with a single spring in parallel\n", "with a single damper, is one amongst many possible models for the reological behavior of linear systems.\n", "In general, the equilibrium equation may be written as:\n", "\n", "$$ m \\ddot{u} + r(u, t) = F(t) $$\n", "\n", "where $r(u, t)$ is a time function abridging both _restitutive_ and _reactive_ forces, which obviously \n", "depend on the system response itself, $u(t)$. In general, it can be stated that a linear reological model\n", "is the solution of the equation:\n", "\n", "$$ \\left(a_0 + a_1\\frac{\\partial}{\\partial t} + a_2\\frac{\\partial^2}{\\partial t^2} + \\dots \\right) r(t) =\n", " \\left(b_0 + b_1\\frac{\\partial}{\\partial t} + b_2\\frac{\\partial^2}{\\partial t^2} + \\dots \\right) u(t) $$\n", "\n", "If we apply a Fourier Transform to this equation, with $\\mathscr{F} \\left\\{ r(t) \\right\\} = R(\\omega)$\n", "and $\\mathscr{F} \\left\\{ u(t) \\right\\} = U(\\omega)$, after some algebraic manipulation we arrive \n", "at the following general relation:\n", "\n", "$$ R(\\omega) = K(\\omega) \\left[ 1 + i\\mu(\\omega) \\right] U(\\omega)$$\n", "\n", "what in short means that there will be an _in phase_ and an _out of phase_ force to displacement response. \n", "Each reological models will have its own $K(\\omega)$ and $\\mu(\\omega)$ functions. \n", "It is important to observe the importance of the Fourier Transform approach here, \n", "which makes possible the solution of equilibrium equation in frequency domain without\n", "the need of solving an integral-differential equation in time domain.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2.2. The Kevin-Voigt model \n", "\n", "The parallel spring-damper system, commonly used for elastic structures in\n", "Civil Engineering, is known as _Kelvin-Voigt_ model.\n", "\n", "\"Kelvin-Voigt\"\n", "\n", "In time domain the model is formulated as:\n", "\n", "$$ r(t) = c\\dot{u}(t) + ku(t) $$\n", "\n", "while its properties are:\n", "\n", "\\begin{align*}\n", " K(\\omega) &= k \\\\\n", "\\mu(\\omega) &= -\\frac{c\\omega}{k} \n", "\\end{align*}\n", "\n", "We will be always using this model, unless otherwise explicitly stated.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2.3. The Maxwell model \n", "\n", "The series spring-damper system, the most basic representation of a viscous\n", "material, is known as _Maxwell_ model.\n", "\n", "\"Maxwell\"\n", "\n", "In time domain the model is stated as:\n", "\n", "$$ r(t) + \\frac{c}{k} \\; \\dot{r}(t) = c\\dot{u}(t)$$\n", "\n", "while its properties are:\n", "\n", "\\begin{align*}\n", " K(\\omega) &= \\frac{c^2 k}{c^2 \\omega^2 + k^2} \\omega^2 \\\\\n", "\\mu(\\omega) &= -\\frac{k}{c\\omega}\n", "\\end{align*}\n", "\n", "Observe that this model implies the possibility (almost a certainty) \n", "of a system non-zero final response. Furthermore, for zero excitation frequency\n", "(what means a static load) the displacement will become infinity.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2.3. The Zener (standard) model \n", "\n", "A more complex reological model is known as the Zener (or standard) model. \n", "There are two versions for these model, as illustrated below.\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
\"Zener-Maxwell\"\"Zener-Kelvin\"
The Zener model (Maxwell version) The Zener model (Kelvin version)

\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "The time domain equation for the Maxwell version of Zener model is:\n", "\n", "$$ r(t) + \\frac{c}{k_2} \\; \\dot{r}(t) = k_1 u(t) + \\frac{c(k_1 + k_2)}{k_2} \\; \\dot{u}(t) $$\n", "\n", "while the equation for the Kelvin version is:\n", "\n", "$$ r(t) + \\frac{c}{k_1 + k_2} \\; \\dot{r}(t) = \\frac{k_1 k_2}{k_1 + k_2} \\; u(t) + \\frac{c k_1}{k_1 + k_2} \\; \\dot{u}(t) $$\n", "\n", "As an exercise, it is suggested the derivation of frequency domain functions, $K(\\omega)$ and $\\mu(\\omega)$\n", "for these two Zener model versions.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3. Equilibrium in frequency domain \n", "\n", "After choosing a suitable reological model, we may now go back to the linear dynamic equilibrium equation:\n", "\n", "$$ m \\ddot{u} + r(u, t) = F(t) $$\n", "\n", "and apply a Fourier transform to both sides of equation:\n", "\n", "$$ -\\omega^2 U(\\omega) + \\frac{1}{m} \\; R(\\omega) = F(\\omega) $$\n", "\n", "where $\\mathscr{F} \\left\\{ F(t)/m \\right\\} = F(\\omega)$.\n", "\n", "After replacing the expression for the choosen $R(\\omega)$, the system response $U(\\omega)$ can be \n", "calculated as a function of excitation $F(\\omega)$, and transformed back to time domain (if required).\n", "One must be aware that this is complex algebra and the solution will have both an _in phase_ and \n", "an _out of phase_ components. \n", "\n", "In the following we will do the math for the most used Kevin-Voigt model. The equilibrium in \n", "frequency domain is:\n", "\n", "$$ -\\omega^2 U(\\omega) + \\frac{k}{m} \\; \\left( 1 - i\\frac{c\\omega}{k} \\right) U(\\omega) = F(\\omega) $$\n", "\n", "Now we isolate $U(\\omega)$ and recall that $\\omega_{\\rm n}^2 = k/m$ and that $\\zeta = c/(2m\\omega_{\\rm n}) $, what gives:\n", "\n", "$$ U(\\omega) = H(\\omega) F(\\omega) $$\n", "\n", "where:\n", "\n", "$$ H(\\omega) = \\frac{1}{\\omega_{\\rm n}^2} \\; \\left[ \\frac{1}{(1 - \\beta^2) - i(2\\zeta\\beta)} \\right]$$\n", "\n", "is called the _system mechanical admittance_, with $\\beta = \\omega / \\omega_{\\rm n}$ being \n", "a nondimensional frequency. Observe that $H(\\omega)$ is a complex function of frequency, \n", "accounting for both amplitude and phase of the system response. \n", "\n", "These expressions allow a straightforward solution of the equilibrium equation in time domain \n", "(although its complex algebra). The mechanical admittance can be understood as a frequency \n", "dependent flexibility, for as the excitation frequency goes to zero (static condition) the \n", "admittance goes to $1/\\omega_{\\rm n}^2$, which is the flexibility coefficient \n", "(inverse of the stiffness coefficient, $\\omega_{\\rm n}^2$) with unity mass.\n", "\n", "In the expression above it can also be observed that for undamped systems, $\\zeta = 0$, the \n", "admittance, and consequently the system response, will rise to infinity when the excitation\n", "frequency equals the system natural frequency, $\\omega = \\omega_{\\rm n}$. This condition is\n", "called _resonance_, and must be always avoided in structural systems design.\n", "\n", "The class ``MRPy`` has a method ``sdof_Fourier()`` that is an implementation of this\n", "solution in frequency domain (for Kevin-Voigt model). It requires no inicial condition,\n", "for in Fourier analysis the numerical approach (where signals must have a finite duration)\n", "assumes the signal is always periodic.\n", "\n", "The example below compares the solutions with ``sdof_Fourier()`` and ``sdof_Duhamel()``\n", "for a linear system subject to a harmonic load. Observe the difference due to \n", "the initial conditions in time domain approach. The two responses become the same\n", "after some acceleration time in the solution with Duhamel. This difference between\n", "the two solution methods is exactly the system response to some initial conditions.\n" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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sWLECd9xxB2dpYJVKhW3btuH555/Hhg0b8K9//QtqtRozZ87EY4895laUoqf54IMPkJGRga+++gqvvfYa0tLSsGrVKvz1r3/llEDrLfLy8lBRUYE5c+bwLjSio6OxaNEifPXVV/jmm284i3/0BF988QX+/ve/47PPPkNDQwOys7Px7LPP+hVrHBUVhf/+979Ys2YN3nrrLbS3twO4YPyOHj0aW7duxWOPPYb//ve/CA0NxcKFC/HPf/7TQ0IOAEJCQrBz506sXr0amzZtwtGjRzFy5Ehs2LABer3ew/gFgGuvvRb5+fn45z//iZ9++gl5eXkICQlBSkoKfvvb33ooihAE0TPImO5aPwRBEATRD5g1axZ27tzpIUlHEAThDwMu5vfNN9901YOfOHEibyLIxo0bMXfuXMTGxiI8PBzTpk3jrB9PEARBEARBDA4GlPG7YcMGPPTQQ3j88ceRn5+PGTNmYMGCBaioqOA8f9euXZg7dy62bNmCI0eO4KqrrsKiRYuQn59/kXtOEARBEARB9AcGVNjDlClTMGHCBLz11luuY7m5ubj++uuxdu1aQW2MHDkSS5cu9cjIJQiCIPoXFPZAEERvMGAS3jo6OnDkyBEPyZ958+Zh7969gtpwOBxobW11SdxwYbFY3KooORwONDc3Izo6GjKZTFrnCYIgCNFs3rwZwIXKewRBEN5gGAatra1ISkqCXM4f2DBgjN/GxkbY7XaPMpHx8fGoq6sT1MaLL74Io9GIm266yes5a9eu7ZNKSgRBEARBEIR/VFZWIiUlhfecAWP8snT3vjIMI8gj+9lnn2HNmjX4+uuvvdZfB4DVq1dj1apVrr/1ej3S0tJw9uxZXo8x0XtYrVZs374dV111Va/piBL80Bj0PTQGfQ+NQd9Cv3/f05/HoLW1FZmZmYJ02AeM8RsTE4OAgAAPL69Wq/XwBndnw4YNuPvuu/Hll1/61AhVKpVQKpUex6OiohAdHS2+44TfWK1WqNVqREdH97ubbbBAY9D30Bj0PTQGfQv9/n1Pfx4Dtj9CHKIDRu0hKCgIEydORF5entvxvLw8TJ8+3ev7PvvsMyxfvhyffvoprr322t7uJkEQBEEQBNGPGTCeXwBYtWoVli1bhkmTJmHatGl45513UFFRgZUrVwJwhixUV1fjww8/BOA0fO+44w688sormDp1qstrHBwcDI1G02ffgyAIgiAIgugbBpTxu3TpUjQ1NeHpp59GbW0tRo0ahS1btiA9PR0AUFtb66b5++9//xs2mw1/+MMf8Ic//MF1/M4778QHH3xwsbtPEARBEARB9DEDyvgFgPvuuw/33Xcf52vdDdodO3b0focIgiAIgiCIAcOAifklCIIgCIIgCH8h45cgCIIgCIIYNJDxSxAEQRAEQQwayPglCIIgCIIgBg1k/BIEQRAEQRCDBjJ+CYIgCIIgiEEDGb8EQRAEQRDEoIGMX4IgCIIgCGLQQMYvQRAEQRAEMWgg45cgCIIgCIIYNJDxSxAEQRAEQQwayPglCIIgCIIgBg1k/BIEQRAEQRCDBjJ+CYIgCIIgiEEDGb8EQRAEQRDEoIGMX4IgCIIgCGLQQMYvQRAEQRAEMWgg45cgCIIgCIIYNJDxSxAEQRAEQQwayPglCIIgCIIgBg1k/BIEQRAEQRCDBjJ+CYIgCIIgiEEDGb8EQRAEQRDEoIGMX4IgCIIgCGLQQMYvQRAEQRAEMWgg45cgCIIgCIIYNJDxSxAEQRAEQQwaBpzx++abbyIzMxMqlQoTJ07E7t27vZ5bW1uLW2+9FcOHD4dcLsdDDz108TpKEARBEARB9DsGlPG7YcMGPPTQQ3j88ceRn5+PGTNmYMGCBaioqOA832KxIDY2Fo8//jjGjh17kXtLEARBEARB9DcCxb7h3Llz2Lt3L+rq6iCTyRAfH4/p06cjOzu7N/rnxksvvYS7774b99xzDwDg5Zdfxg8//IC33noLa9eu9Tg/IyMDr7zyCgBg3bp1vd4/giAIgiAIon8j2PjV6/W444478M0330Cj0SAuLg4Mw6ChoQEGgwGLFi3Chx9+iPDw8F7paEdHB44cOYJHH33U7fi8efOwd+/eHvsci8UCi8Xi+ttgMAAArFYrrFZrj30OIRz2d6ffv++gMeh7aAz6HhqDvoV+/76nP4+BmD4JNn4feOABlJaWYt++fZgyZYrbawcOHMDvfvc7PPDAA/jPf/4jvKciaGxshN1uR3x8vNvx+Ph41NXV9djnrF27Fk899ZTH8e3bt0OtVvfY5xDiycvL6+suDHpoDPoeGoO+h8agb6Hfv+/pj2NgMpkEnyvY+N28eTN++OEHD8MXAKZMmYJ///vfmD9/vuAPlopMJnP7m2EYj2P+sHr1aqxatcr1t8FgQGpqKq666ipER0f32OcQwrFarcjLy8PcuXOhUCj6ujuDEhqDvqevx8DhYLC/tBlTM6Mgl/fcnDuQ6OsxGOzQ79/39OcxYHfqhSAq5pfPyOxJA5SLmJgYBAQEeHh5tVqthzfYH5RKJZRKpcdxhULR7wZ6sEFj0PfQGPQ9fTUGW0/W4bnvC7F6YS6uGZlw0T+/P0H3Qd9Cv3/f0x/HQEx/BKs9LFq0CCtWrMDhw4c9Xjt8+DBWrlyJxYsXC/5gsQQFBWHixIkerva8vDxMnz691z5XKFa7A+/vKYXRYvO7rYomE656YQe+PV7TAz0jCILwn41Hq/DhXVOwuYDmJYIgBjaCjd/XXnsNSUlJmDx5MqKiopCTk4Pc3FxERUVhypQpSExMxKuvvtqbfcWqVavw3nvvYd26dSgsLMTDDz+MiooKrFy5EoAzZOGOO+5we09BQQEKCgrQ1taGhoYGFBQU4PTp0z3et08PVOBgaRM+2l/ud1sfHyjHSzeNxZeHq3qgZ+gRg5wgiMGLze6A3cEgLVoNY4cNDgfT110iCIKQjOCwh4iICHz//fc4c+YM9u3b5wo/SEhIwLRp05CTk9NrnWRZunQpmpqa8PTTT6O2thajRo3Cli1bkJ6eDsBZ1KK75u/48eNd/3/kyBF8+umnSE9PR1lZWY/2bdsZLd65YyLu+/goVl45xK+2ztS1YvWCHISqAqFvt0ITLH1r4USVHis/PoK/LsjB4rFJfvULAOr0ZmzMr8I9V2QhKHBAyUQTBCGRM3WtGJ4QBgAYFh+Gc9o2198EQRADDdE6vzk5ORfF0PXGfffdh/vuu4/ztQ8++MDjGMP0vofCYLYiVBkIZWAAZDIZLDY7lIEBktpqbLMgJiQIMpkMkzOicLisGXNypcc0f3W0Cu/eMQn/+OFMjxi///yhCLFhSnx2sAJ3Ts/wuz2CIPo/J6v1GJMSAQAYnxqBgsoWv4xfhmHwwGf50Ldb8fqtE/xa4BMEQYiFXHc9wLFKHcanRQAARiWH43SN8IzD7pyqMWBMigYAkJsYjjN1rX71raTRiNzEMISpFNCZOvxqq9VsRavZikeuGY6fz2j9aosgiIHD+YY2DI0LAQBkx4fhXH2bX+2d07YhJlSJ5dMz8PlB7gqdBEEQXfnmWA1WbzwOew+EXZHx2wOcrW9DToKzuMfwzi1ByW3VtWJYp0dleHwYztZLN35bjB2IUisgk8kw2k+jHAAOlDTjiuwYBMhliAtTot5g9qs9giAGBuVNJqRFOY3f9Gg1ypuF62lysftcI64cHosZ2bE4WNrsd/+sdgeOVrT43Q5BEP2T9g47vjhciYTwYOw93+h3e2T89gDn6luRHR8KAMiOD0WxH8ZvUX0rhsc7jV+NWgFDu/QqKue0bS5DemSSBqf8NH73nm/CtCyn1vG0rGjsL2nyqz2CIAYGNgfjivFXBMj99rwcLmvGlMwoBAXKERggg6nDv6Tc17YV4x9bzyDvdL1f7RAE0bNY7Q7kna73OwT1h1N1WDQmCTdMSMa3x2r97hcZvz2AttWCuDCnNnB6dAhKG42S22pqsyA69ILOsFwmk3zRFGvbMDTWaZSPTArH6Vr/jN+yJiOGxjnby00MR5GfIRkEQfR/OmwOBHYraqEIcOY2SMVstUMd5Ew5GZ4Q7pfDAADyK1rw5m0T8c0xkmEjiP7Ex/vL8fbO8/juhH8G64HSJswYFoPUKDW0rf7vOksyfnU6Hd577z2sXr0azc3OLaujR4+iurra7w4NNFjDlC3yoQiQS5YBsjsYyLsVC4kODUKTUVqsbrG2zWWsRqiDoPfDi8zCfs+s2BCUNEg38gmC6H0qm014eEMByvxYkFc0m5AW5V7aPVETjHq9RVJ7ZqsdKsWFhODh8WF+LaTLm4xIj1YjKsQ5x5EMG0H0H3adbcC/l03ED6f825Wp1ZuRqAkGAISqFDCY/bNnRBu/x48fx7Bhw/D888/jhRdegE6nAwBs2rQJq1ev9qszA5GGVgtiQ90rwslkMknbgvUGMxI0KrdjKZFqVLW0S+pbVYvnQ0uqF7mpzYJIdZDrb5UiwC/PD0EQvc/LP53Dr8Yn4++bT0luo7LZhPRo93kkOSIY1Tpp81Kxtg1DOnekAGB4QqhfuQ1HK1pwWUYUAGBYfCiKG/zzIhME0TPo261QKwMRE6pEqx/GanuHHeqgCwvmUUnhOFmt96tvoo3fVatWYfny5Th37hxUqguG2oIFC7Br1y6/OjMQqWg2IT3G/cGQFKFCrV78g6FG147kyGC3YymRwahqkZZc4mAYBAZcGOLokCA0tvnvRWZRKQLQ3uGfAdzQasHvPjyMUzX+XcjEpcu/d57HB7+U9nU3BhxWuwM6UwdmDotFepRacjhWQ6sFsWHuC/zkSOnGb3mTCRkxIa6/06NDUNYkPYHubP0FzeGeUMgBnJKTlX4m9RHExcLUYeuXz9CCSh0mpkUCAGJClZLDFZz2xwVpxWHxYTjv586zaOP30KFDuPfeez2OJycnuwpfDCaqde1IjnA3WFMj1aiQMHFyteWP57e7kzczVno8cmVLu4f3JzvOv+Q+AHgprwi3TU3Haz8X+9VOb1HVYuqRcBFCGqWNRhTVt+JweQvKmyjMRgzHq/QY3SmbODsnDtskyhM2tFkQ0213KykiGDUSjd+abvOcP6FiAFDS0IbMTmN6WHwYiur8y22wOxg8vKEAq74ooHuf6PeYOmxY8eFhPL+1CEfKe0bxpLzJiI/2l/udpFZYa0BuolMJa1RSuOSk+3PaVmR3cb6lR6v9CuUCJBi/KpUKBoPnFygqKkJsbKxfnRmI1OjMSOpu/EapUdUs/sHAZfzGh0uTFLPZHZB3S1JJiVSjWifNm1Hd4tm39OgQlDdLvwD1JiuajR24clgsGDD9rgxzU5sFD31egJUfHfHbwz3YOFGlx66zDX638+OpOtwwPgV3Ts/ApvxLP6fAbLXj2S2F2HPOfymfI+XNrnCAKVlROFIuTVKskdP4VUk2frnmOUB6SJbVzriKCg3tgQX51wXVmJMTh7suz8TXBf3rmrsYRZuIgcWnBypw6+R0PH/jaHy4r8zv9iw2Ox796gRO1+ixp9i/eehMrQEjOo3foXFhkvOEzta3uRS1AKct4+/OjGjjd8mSJXj66adhtTpXxDKZDBUVFXj00Udx4403+tWZgUiNrt3D+E2Lkub55WorNkyJhlbxiSVNxg7PrcqIYFRL9CJz9S01So1KCUY+y9ZTtbh2jLPq3PQhMdh3vn9Jp32wtwx/mjcci8Ym4adCklASir7dirXfF+KzgxUo9FNh5GBpMyZnRmFCWiSOVuh6poP9mJfyzmJMigZv7zzv92KwqK4NOZ3hAOqgQJgkLuAa2zoQ020uiQlRSg6hqtObEa9xby86VFpIlqNbkrBKEYAOm0NSv1i+OVaDW6ak4aqcOOwo8n8B11NoW824/o1f8Mx3p/u6K0QPsKNIizvWHfRbL3/n2QZcMzIeiZpgGC02mK3+OWq+OFSJ30xKwcorh2DLCf928/XtVmjUzuqNQ+JCcF5iPH5p44XdHQAICpTD5mdiq2jj94UXXkBDQwPi4uLQ3t6OK6+8EkOHDkVYWBieeeYZvzozEKk3mBHf7cGQFi3N+K03WBAf7p7wpg4KlOR1rDeYXfJrLM4kFWk3WpPRguiQILdj/sQjA8AvxU2YMTQGADA+LQLHq3SS2+ppGIZBfoUOUzKjsGBUAn44NfhCeqSy4VAFfnt5Jh66ephf1busdgdkMudEFyCXIUwZ2CO7A4W1Bnx7vP9JYllsdpypa8V1Y5KweFwSfjzt3zXXbHSXTYwNVUIr4UFrstgQEuRerl0uly7BaLU7PMq/p0aqUSlhLnF6pd3nJaehL+06aWqzIEylgDIwACpFAALlMr+NiZ7iw73lePzaEbDaGRwq878wCNF3MAyDd3eXYNXcYXjl53OS26nVtyNRo3Ll9kxIj/S72MuPp+uxaGwS0qNDJO/uAM75jNUGB4CEcBXq9NLsj667O13xZydEtPEbHh6OPXv24KuvvsJzzz2H+++/H1u2bMHOnTsREhLiu4FLjO5JZQAQKvEh7XAwCOgWqiAVLkM6LkyJBokB5wwDjzCK+HCV5FUrwzDQt1sR2WlQD4sP65FElZ6iotmEzJgQyOUyRIYEwWixwWb3z6M0WNhf0oyrhsdieEIYShqNkieos/WtGBZ/IclhZLL0mDGWymYTnt1SiAMlzfipnxVEyK/QYWqWM0zhmpEJ+Om09BLiDgfjkiVkyUkMR5FEVYXubTmPSWqKE+cuknjjt6v8EUtKVLDkHalDZc2YPiTa9feYFA1O+JlV3hM4HAzyK1twWUYk7ps1BB/tK+/rLg06/FEr6E5hbStGJmkwLjUCNbp2yQus/SVNmNblep2SGY1DpdKN3/Od8fOKTptG6s4z4Jxru6pNcc0hQuCSgAWASHUQWkzSx0RykYvZs2fjz3/+M/7yl7/g6quvltwB4gLerg0p14y21Yz4cHfPr1wug5SdAm/GS4DE9gCgqqUdqVEXHloqRQA6esC43HqyDnv9jFMCgENlLbgsM8r195iUCBzvBw/Brpit9h6pcd6TmK12yGUy14JwSGyo5KzcE1V6jOlM2AKAMcn+7w58fKAcf5o3HH+aNwwbDlf61VZPc6i0GZM7Y3Q1wQq0WWySFw71rZ6yiZkx/ieJdEUpQe3F1GFz0/hlSY2Slthbq29HYoT790z1Ix6woFKPcWkRrr8npEXiqJ9JRAzDoFjb5ldS34HSZkzOiIZMJkNcuAoGs7Xf3fuXMofLmnH7ewfwwGf5PbITsPtcA2ZmO3Okpg+JluzJz6/QYWLahefU8IQwnNNKdyLtLW509QtwLv6kSopV68wesf3KQLno36+xzVNtBpCuqsUSKOSkV199VXCDDz74oOTODDTaLDZXlaLuyGSd8WgCPbmmDhuCvbTFPmSCgzwfGt6oN1gwNiWC8zWG8fQK8dFs7EBUt5AHFhnEfU+WUzUGjEzSuB1jt2XjunmshXKkvBk/nqqDqcOO8GAFRiVrfL+Jp60HZme7/r4iOwZ7zjViQqdsS1/TZrHh9vcOID5ciTduneCx+9BXHKvUYXwX42FqVjQOlDZ5yOQJoVjbhlumpLn+Hp2swZdHpBusDMPgdI0Bj87PgUwmQ1CAHHrThZi0vuZEtR6/uzLL9XdmjFOdJStW/G9X3mRCejeN74zoEOw5Jy6u3mp3eN2Nig1VorHNgtRun8NHjc6MRI3n/S01hKpGZ3ZLhAGchnSJxNjCYm0rsrtIKo1NjcDHB/zzsj7y3+NwMAySNMH48zXDJbXxS3EjrhmZ4Po7NzEchbUGv+a4S5k6vRkb86swb0S8m0SWVN7acR4f/HYythdp8fnBCiy/PNOv9o5WtODO6RkAgCuGxuLrY9WYkS1eMKCy2eTmRApVSo/tB5yLrGd+Ndr196hkDXafbcRVOXGi26puaUdyJLc++BARc1qNrh1JHHNGgsYZRtHdjhCKIOP3X//6l9vfDQ0NMJlMiIiIAOCs+KZWqxEXFzeojF+twdO7yhIVEsSZdOYNrmIZLHGdWw9p0cIfMk4j0rO9CLUCOtOFcAMh1OjMSOTIzgY6t0XaPEMsfHG6Ro+rR8S7HRuVrMGpGoNk4/fdXaX4v1+NQnuHHS/+WISXbx4vqR3AuXjo+pAemxKBd3aVSG6vp3lvdwn+eHU2mts6sP6XMqyYmeX7TReBw+UXCg4AwOTMKDz1zSncNiVddFvdK4tp1AoY/JCeqmg2ISM6xLXwu3xoDPaeb8SC0YmS2zRb7XhjezHGpUZgTm687zfwYHO4x7WNTtbgZI1BkvHLVZXN6V0VZ2A2tXW4xQ13JTZMCW2rOONXy1HIB3BqgEpJeKszmDFzmLvRkBoZjJ0SE9UYBm7GfohSWs4Fy8HSZkSFBOGxhblY9v4BdNgcbnGQQimsNeChqy8sxqcPica+801k/HJgtTvw8IYC3HtlFv72v5P44LeTOXcbhFLWaERcuAqRIUFYPDYJy9cf8tv47bA5XH3KSQjDP38Q7621d4Y2dXdkBchlsNodrtAFMbSabdAEX3AGjEgMx793nhfdDgBU60wYlxrhdsy5yBVn/NbqueeMRI1Kcg4TIDDsobS01PXvmWeewbhx41BYWIjm5mY0NzejsLAQEyZMwP/7f/9PckcGIlzi7ywJmmBR8bB8bTkfMuIGucnYgegQz/ZSJFRm4gqhYJGq93m+wejhDRzpR9WWxjYLFIFyxIQqkRqlhtXOoLFNWqyS3cFABvcYpaBAOax2R7+QGrI7GBwsbcasYbH41fhk7Dir7TdJOU5dxwuelqiQIMkGq93BeEzgykDplQXzK3SYmH7Bcz8jOwa7/JQUe37rGQyJDcX6X8rQ5kcyXkOrZ0Ip692TgtMj5G6UKgLkorfKG9ssiA3lXijHSsgh0HqZ5wIkJtDV6No9PMnOAhzivcjNxg5EqD2/qz8JdJ8eKMdvL88AAFwxNAb7S8Qr2nTYHJB1CSUCOsMx/ExsOlmtx6/e/AUPfpZ/SVXr/LlQi7kj4jFreBxuviwN/z1S5Vd7352oxaIxzgVyYIDcbzm9VrMVIcoLfke5XIYAuUx0Tklpo9FNAYElI1otSRO9odVT0tBZyVVaOGINR9iDlNj+Wr2nnCwAJIQHo86PsAfRS4MnnngCr732GoYPv7B9M3z4cPzrX//C3/72N8kdGYh4m8gB8ZmNvMZvqPigc2/Jc0kSjF8unU+WRI20DM52q90jZGRYQhjOSZxUvj9Zh4WjLmwLXjcmUbJCQ0WzidPLnqhRod4gzaDuSQoqdZiUHgmZTAa5XIa5ufHY3QO6sD2B0WJDmMo9jECtDBRtGHbYHAgM8Lx+s/wo1JJf0eLmiUiNUvuVzXyuvhWtZhuuH5+MpZel4n9+6BB3FYNn8ech6+0aFktDm8VD5oxFSjKMttWMuDBpOztctHfY3QwJwLlAstrFG9IlDW0YEudpTGTHh+JcvfhxsNjsaDXbXAl5l0s0fgtrDRiR5H5thCgD0e7Hgtdis+OZ7wqxfvlluHpEPN7tR7ta/vLj6TosHueU0FwwOgE/+ylTub+kCZO75H9cnRuPbWekt3m2vs0tkRcAsuPFP/tO1egxstt1wbZ1VsL1erLaPceCRapKjKHdivBg93tTirOsVtfu1fNbK1E9ApBg/NbW1ro0frtit9tRX9+/sqd7m4ZWi9eJPFGjQq0Yz6+XoG7gQmhBT5AcKV7rl88wT9QE+3UBdiVcpZCcUbvrbANmDb8QlzR9SAz2l0hLIiiqM7j0UbvijyeuJ9lZpHWLwZo/KhFbT/a9FFt3aRuW3IQwnBH5u1U0G5EezW2ISJnYAaC82eRRpVATrIBeYsbw5mM1uGVyKgDnA9EfTVgu4zcoUC5ZYaTNbEO4yjOWOTgoQJQSTSOHN4hFyqJca7BwhmMBTs90X3ogzze0cW7HDo8Pk6SScaSsBZO6hABJLb1c0tjmVt2KJSokSPLu1kf7ynHz5FREqIOwaEwiCir1fslW9iea2jpc16wyMACRIUGSVYnKm4xIjVK7ed0npkfiaLlOcv/Kmzw9ts5rQ9wceZojbwZw5gqUSfD8nqjWc4bRSL1uGXgqPEhxltUauPMEItTS525AgvE7Z84crFixAocPH3ZtUx0+fBj33nvvoFN94PP8xoerUC/W8+vlIRMTqkSjiIeMjSdJJT5chXqRW5V8fUvQqFAncmJxJgpyx2DJZDLRWdFsTF7XhEA2PlRKhnVhbStyEjxX1E7lAv+qR/UEp7sluiRoVGhos/R5SMZ5rZHTeJCyaChp4N7Sy44LQ7EEQ6TD5oyB6z4ZO+NqxYfasDrQ41OdYRTBQQFQBwWgSaIxUlTX6hYuwhKpDkKzUVoxCS4SwsXdr41dDInuxElYlGtbLR764yzx4SpoReys2Dnk3FjCVIEwiFxIn2/gvn6HJYShSMLDf+fZBswcFuP6O0Aug1wG0aEnFU3tHvHbADAmWboM286zDVjUWWBIJpNh5ZVZ2HDIP/WTk9V6PPPdadE7iz1Jrb4dCd1yRpyOEGkFlPaXNOGKoTFux4KDnKFXUtU2uOLxs2JCUCpSFcd5vXrOkWkSZQPP1F2oxtaVHAnXv83u4JQn0wQrRJcMN3d47hID0qXTWEQbv+vWrUNycjImT54MlUoFpVKJKVOmIDExEe+9955fnRloNPBM5AkiXfJ83tWYUCUaRTwAuSoyscSFKdEgcuuezyst9nsCQFWLZzwiS1KECjUi43iOlLdgUrqnCkNOojTt4HPaVo9tKcC55V4iccvd4WDw969P4rb39vslz+JwMJyxsBkSC6v0JEX1Bgzn8JiPSArHaZHGb1VLO1IjPa+RIbGhKJawAClrMiKL40ExOkWD41XiDQinWkm4m8rJlcNiJZcD1bdbOeNNh8SFilYuaO+we03wSdCIW5R7kxkCWM+jOMPcaLEhVMmdZy12Ic3Xt0RNMGpFJsOUNRo5jcx0iRU7z9a3IrfbIjpVQlsVHDsWgPPaPSHh2mW1XLteuxM7iyNIXUC3WWx45rtCXJ0bj//7tu8q0B0ua8GkDPdnwZTMKBwolbYLeLDUPYGXJTcxHKclao5zGb+ZMeKfLVw1BgA2TEH8ItxsdXAqSg1PCEOhSK90fasFCRrPe9Nfg5ULqdesaOM3NjYWW7ZswZkzZ/Dll1/iiy++QGFhIbZs2YK4OPFyGAMZfXuHW2ZkVyLVCujbhT8YmnjkxKJCgkR5lJxV57jDMaSsvCxWh9eHaagyECaR8ZxVze1IieRWj5CiC5tf0eKWyMQyPjUCxyTownqTlfOnQs3Xx6qRFqXG368biZd+PCupDQAo8SJ9NSUzWrJ3o6c4U8ftMU8IFx8rXdXSjmSOayQ4KABmq/hQgLP17hJWLCOTwiV5freerMP8LjHmADCtMwO/J5HyUKzWtSMpgvv+l2Jgdq+gxhIYIJe0s+LtAZgQLm4h7U0CCZC2iLY7GM6wnUAJiYKsMH93CcjchHDRIUA6E/dzJidB/FY5AOw77+nNlMlkGJsSgWMSjGkA+PJwJW6fmo4pWdGICgnCOYnFVPzlRLUeYzkUBmoleqObjdwLrInpkSiQqDmuM1kR0U1eMUSkRBmfBKFcLoPYu9JZJpz7tehQJVpE7j7V6NqRHOE950Cowcq3uwNIs2dYJIuDDhs2DIsXL8aSJUswbNgwqc0MeLwNjEwmg5gFCV91N2fsn/DGtK0Wr+oMvbHyEktli4nTqwc4k3zOiwz8P1nDHas0SsK2oDNkhPu28KdCzZeHq7BsWjqGJ4TBYnNI9v4WVOo8JnfAKSl20I/KPj2Bt1AFKb8bW7aTC0WATHRs6Ll67rjJMJVC9OINAI5V6Tx0tJMipMW/ezNugM74PQnGb/csaxaxYQ9tZu+e2p5GbKhYnRcJJEC859fXw1jeqdsuFG+Z+DmJYSiUsBvFdQ+JNZhYjla0YAKHs2DmsFj8InHnYkdRA64Z6ZT6+9X4ZGw+Jr18eGObBX/49Ci+P1Er+r0lDUZkdfvdZTIZAuROtR4xmK3cOQxApyynH0WPOCsmQrhRWN3i3YEEAIGdcmdC0bZaeCVGA+QyUQvA6hbvC/AIEZXZGlq95wgAQLyEsEsW0cbvXXfdxfuP6HvqvWj8SsWX7SIT+WCo4rlxxcbVMgwDi43bM50sJbNUb0ayl5sWAMJVgaKD7A+WNmNqVrRLw3XpZan4SqL8zrFKHcZxFC+JDVOiySg9KfJYpQ4v/3RWUlluFpvdu4ZpsCJAlFxUh5cxBYDMmFCUNYrbOi5uaPNaaEMlslJZZbMJKZHBnIVdEjUq0ddcaaMRGRyGEuAsTCE2eYVLXJ5FrIEJ+F68CH1gm612KBXeHzlivdI1XiSQADYTXPg46NutXhcgABAnMleCK4ERcMasi/GK+vrNwlQK0bHNzUbuOO7xaRHIlyCf1tRmQYRa4dqCn5AWKSmUiOWVn87hrssz8fMZrWhj3O5wcIYCDI0Tn69RrG3j3C0CnOGDUpLozFY7lF7myHgRakKlHElzXUmKELf4K2syIoNHHUasSkO1zvszXsy9WaNvRyKPUR4fJi3EA5Bg/La0tLj902q12LZtGzZu3AidTiepEwMRvm0HFkWAHB0CNPIcDkZSCWNvaA38ckJisqpNHTYofQiER4co0SRiW6Tay5Y2IGHrk+cBKJPJECgXNgYs5U0mpHGoDLAMiQ3F+UZxk+jmYzVYPDbJ9feUzCgcLJPmpa1sca/o05UQCZJiAFDRZMJLeWeRqFFJFjTXt1sRzmM8pPVgTHJ2XCjOitxW5ZLE6tqemJKgh8qcixkupIQ+lDeZvBq/UsI8ang8v/ESQlD40HQWzRGC1uBdHQcQ75Wu5dD4ZUkWKenoLcyGJT1KjfIm4dfvaQ55MoBNlhI+nlU8u2QAkJsYhjO1wq/dpjYLojhiywF0Ls7F76rsL2nG9CEX7ge5XIYwVaCk7eg2iw3VunZMTI/Ek4tGYP0vpYLf29Bq8VqQJTcxTHTSbVFdK2cOAwCX7rKYZwvgHE+uuHLAmfQmNL6/vJFbDYclTWRseXmTEWlR3tvLiBYnMVnNE/aQGCE8fLBO773AFtC5KL1Ynt9Nmza5/fv2229RUlKCm2++GVOnTpXUiYEIX+UjlpiwIEHZ0Lp2KyK9TEgsKkWA4EIGzrAH7w+Z2DDh1ZQaWzu8Kj2wJIiUL+mwO9wqWXVFLlLs/ryWezubJTtenGHjawU8RGRYhsPBoFrX7mbcBAbIkaRRoULEwxTo3IbjUCxgGZ0sLQHm9e3n8Ldrc3HTpFQUVOklFcw4W8+dJMiSEa0W7K01WmxQ82y1O8dU+Bj4WqgOTxAn5XO8Su+1dPjE9EjkV4pb2JQ28l9zbAlxofCFPbDFWoRgszt8li13ziXCjGltq5m34mVwUAAsIq49pwQS9/cUK4PE95sBQLrIxVuxlls2DYAoxYcKjmIlXRmRGI7TImLWT9YYMJpDy5VlQnoE8it0gtsDgILKFozvVvZ9SmYUDklIMvvmWA2WdGr0hqkUiFQHCZZgcyqmeC44AGds/6lqccbvmToDpwILy/D4MNGLcL7xFJNQXdZk4p0zxBq/ZU0mZMR4by8zVtwOlNbAl4yqQo1Ae4GriE1X4sOdVSalIDnm160RuRwPP/ywRxnkSxk++S+WuDCVIHFoPqUHluhQ4ZqOjW0dHtWi3PslXLS6oY3/gQWI32L0RbiIIHa+LWPAmZUrRqbFW2Y1S1ZsiKiEvKL6Vk7N4Ktz47HjrFZwOwC32H1XxqRocFxkEkZlswntVgey48Mgk8mwYFSCpOIgzmQ37w+K9OgQwVWHfBkiYuPCy30saIaLlPIpbzJ6vUaSI8TraJc18V/DYsMBuMTlpdBs5J9HgE6tX8HGr3d1HCmYvSSmAuLjzPl2o4BOlQYRi1W+EKCUSLXga6SiybunEHAqqZwSoTrgLRyD5bKMKBwpF7d445KIm5oVjX0SEnC/P1mHa0ZeSCS9ZmQCfi4UNk8W1hqQ62UOcoYPiXM2lDY6y6F7Y1RyOE6JTJblG08x3lVfc2RatBrlzcKfU1wKFF3JjA5BiYjnHsN4z2FK1AivzFar59b4ZRFqY3HRI8YvAJw/fx42m/R4wYGGttV3XG1cmLBViRDjNyZUuLeWYRhej02swH4J7ZsYuTN9uxXhKv4Hc7oIncLSRs8Eh67kJoiTO6toMiGFZ5sxI1pcAtIvxY1uW4Isk7OicEBkEY5jXpLdWEYna3BcZBLGZwcrXOVXAWDBqAT8eEp8sZqzdb48v8IfPlUtJl5DRGy52XP1bcj24ZUWaphbOxMi+RJdgwLlorzn3gpSsGTGiK9q1xNxunwShyxi5qUGH0k1YvomFMEJRL6MCRGeNIPZ6lHlsCtOBQ9hi7eKZm6NX5a4MJUoreUztQYP+bWu5IicL212B2SAh6EzNE7c7gzg1AnOjgt1i/W/fGiM4LjfwjoDcrwY9oEBcjhEXlfe4odZRiZpcFKkN5lvPFMi1YK93A4Ht8wZS2qkGlXNwhfh3rR0L/QtGFUCF2y+7rlEjUpwPHKd3vvuDiDOlumOaPfAqlWr3P5mGAa1tbX47rvvcOedd0rqxEBEiOc3PlyFKgFxZ0K8q9Gh4uTO+IgLV6Ja4MXX0GpBCs/kCzhXckKrqVX62MYDLtT/5lJw6E5VC/9DKzNG3Iq1w+490Qpwhp+IyaI9XNaCW6ekeRwPVynQZrE5JWZ8bC2zHKvSY/G4ZK+vS1EuOFVjwJ/nXShVHqEOQofdAaPF5jVGlgu+BAdA3G5DdUu7z2uOjbfz5l3ryjltG2Zkx3h9XYyU1dn6VgxP8B5mAzgfiqdqDJzye1JgResnp/u+H4SEKoSpAtFq4Te4Af4CFywxoUrBW7/aVrNbmVguItRB0JmsiPThcRbyPSNDnAVCfIWnAZ2yaTzzSJhKITgZtMyL0gNLZkwIzje0YdZwr6e4qNaZePsFXMgtEXIv6Nut0Ki9j7uY7wl0lurl8LbKZDJEqhVoavMeh9udrSfrXCEPLMFBzvnWzqOGxKIzWb3KhQJwxSHzJTayNLVZfF6DToNQnDeZbzyFqjrZ7A6fi1tnroCwBTjDMD6l0cQsHnQm/mtMjDyZ2ep9dwdwPo/Fxl2ziPb85ufnu/07fvw4AODFF1/Eyy+/LKkTYnjzzTeRmZkJlUqFiRMnYvfu3bzn79y5ExMnToRKpUJWVhbefvvtHumHL2kQoLMssdCwBwEPGSFhD0IS8eLCVIIrxjW0CYv5FRr2UNVi4jWSAHFeFm9C3yxOw0bYzcEwDISYoULVLax2BzrsDq8r6tzEcFHi4S0m71rQLJEiSp42tVkQqVZ4GBGzhsdi51nhpXoZhnH+djwTshjtySpdO1J8PPDFFB44p/Wu9MASKVBL+3iVHqOTI3jPGZsagWOVOkF9azF28D4oAKdHqFLgQ7bOYPaocNWd2DBhZYn5Shu7tSU07MHgO+whPlwpSFWhoc13W0kidqT41EXEUtrIXVCFRcyC3Gbn1h7uilCFHG/lx7ujFLFzUVDpKfnHcsXQGPwiIvnzVI2es1zvcAF6xkKee9lxoSgWmP9RVOdZoKQ7MplMdEVSX+Mpk/mWFKvRmX0+Q1mE7Hw0CQhvApzefSGOn2of83d/kFsFJBi/27dvd/v3888/4/PPP8fvfvc7BAb2rh7khg0b8NBDD+Hxxx9Hfn4+ZsyYgQULFqCiooLz/NLSUixcuBAzZsxAfn4+HnvsMTz44IP46quv/O6LkHCAuHCloMzqngx74Kt6xCLmgcVXxY4lXBWIVrMwb4G3yl1dEaoM0GFzIFCA1zQ6VNjDXsg4AMJLRHsrWcsyXYQyAJ8WbFfGpkQIjvvdU9yIK7JjPY7PHRGPH0XE/WpbLV71VrsSFCDsoeor8x4QJ13U5mMbGhBewvN4lQ5jU/k9sGNTNIKLq5Q2GZHJE1cIAClRwrcca3Te1U9YhBq/DTwFLlhiQoMEL6RbTB0+E3uFqlH4igUExMsz+SI4KECQV9Sb3jVLckSwIGeB0JCNEUnCqo05ta69z0cs2fHCY+BP1egxKpnbSJyRHYvdAhfR7R1Ow5zLgJ2UHukzDrmkgX/BATi/19l6YXPGGR6lh66kRalRLnARLmQ8kyJ8SyWWNXFXIuyOUD3dch85ByypkcLCEat1vudvwPfvIWR3R2hbXIg2fmfPns0paWYwGDB79mzRHRDDSy+9hLvvvhv33HMPcnNz8fLLLyM1NRVvvfUW5/lvv/020tLS8PLLLyM3Nxf33HMP7rrrLrzwwgt+94Wv8hGLUAkwrSDjV5hHz5ecECCuYlxTm8Wnt1HMSs6pkcp/48aHCZMv8RWkzyLUsClrMvHKx7A44359TwJchRC6MikjEocFSp4dr9JjDE9bLE6vo7C4311nGznDAeLCVNC3WwVLHp3xEe/LkhYtbPL0FX8GdKpuCDB++YqWdEWo4kOd3rdnld26F0KZj4RNoDNERuDislrHHy8NiPT8+piXIkUI1jMMfD7M4gTe+7U6/lhAAEgUWHTE1GGDimdrlSU1Si1oEeIrCVcul0GIs1BIzDXgVHwQIuPlK9ntQnthgivH8cnqJWhUqG+1CDJMjnqp0gk4FVR8Gb+FtQaM8PHdholQZzhTZ+BN4GUZkSi8Yp9zMck/ns7EYP45stxHUvaFtoTlMpQ3CWsvM0aY3F91C391N0DYHClkdwdwyi1KkdUT7ardsWMHOjo8DTqz2ewzBMEfOjo6cOTIETz66KNux+fNm4e9e/dyvmffvn2YN2+e27FrrrkG77//PqxWKxQKT2+QxWKBxXLhwWAwOC9sq9UKq/XCD2y22iBnHLD60OC0O+xu7+PC0N4BpZzhPU+jlENrMPtsq6bFiJiQQJ/nWW0On+cAgNVuB+Oww+rwYQgxDCyWDp8Pt+oWE2JCAnx+ts1+oX/d/8tSXK9HWpTKZ1vD4tQ4Wd2CKRn8HrsSrQHJmiCf7aVEKFGiNWBSGv9km1/egoevHuq1PYUMaLfa0G628IZuAMDR8mZMy4ry2behMcF4o0bv8zyGYVBvaEdUMPdYTMuKwq6ieswa5vQMexsDACis0WFkYrig3+281oCMKH7j0cH4vjbTIpT4tM7g87zSRiNSI31fI0OiVfj2WDXveWarHYoAmaDE3ih1IGpb2nw+7Eq0rbg6N85n/7r+JnznVjQafV4nkcGBOKdt8/mZWoMZEUq5z/OEzHGAsHGNVgegqNb39VvV3IYRPq652JBA7Dlr9NlWeUMbEsJ83/fJGiXKOhPV+M41tHcgOID/nEA50GYy82qol2pbkaxR+r6vNEE439Dq87xT1Trcclmq73shJhgfH2j0fU06nOFOfPfDkBg1Cmt0vHKUAPDLuQbMyYnl/MzQIBlajBa3Z3D3805V63D9uETePieGKVDe6Pt6ADqvfZXva39obDB+PtOAq3O85xSwlGpbkRzBP56pEUoUaw28z6qyhlZMSvU93yZplCjRtmJUIv9vX6JtxZwc33NQSoTK2bc0Z3vezq9sNuKKIZG87cWFKVDR1IrQIO/P0MrGNsSF+r4vY0OCUN3chhBFmKCxZRFs/LKxvQBw+vRp1NVd2Ba12+3YunUrkpO9J+P4S2NjI+x2O+Lj492Ox8fHu/WlK3V1dZzn22w2NDY2IjEx0eM9a9euxVNPPeVxfPv27VCrL6xmtFo5tmzZ4rPfQs7TauX4/vvvec9hGKCsSo4tW/grg+2pkyFSCWzRHuc9ryf7DwDGZjm+2Pw9wn2EDtXUyZH3w1af7TU2yPHtd1vc6o3n5eW5nbOtRoaUEGBLwwnettqswM/lciTqT/Oet61CjrHRDmzhjqJxUWsCDjXIEerjNz5VIsfh3eW856hMcrzz363I8OFk2FYkR3KrA3Un+c8DgKpaOb77bgtv4ZQaIxBo9D62AWbgg6NymIrdF3fdxwAAthXLEZbuQPMZ/n7V6WU4agQsJd49QVYH0NIg7JorKpNjy5ZK3nOONcnQbgO2bOEv3sEwwKnzcmzZ4n28SgyAolWGLVt8l24N1Mvw/v+qMDqK3+u196wcqcazKPcxEzc1yPH9D3kIlHOPAcv+83JE6hyo5blOakzAkQY54lpO8X7m+Uo5dm+r9FmAR8gcYWeARgHntViAg9VyZJj4L6Z9ZXLI6/ivObMdOHJeji32Yt62Cltk0Jl9XyM1ehmOmIBZid7HgGGE/R42nRyffF2DBB4H2aEGGQJkwJYtPm4sAPX1vu/5Q2fkGMuU4IyP8XQwwOEiObaghPe8RjNgN/B/V2WLDO9+U4JZifz3wY5COYZazqLKy5TaoZfj001bENG5luz+++8/I0eutRjFPjZ56up9j42DARoafD+TAaDDDuwulmOY5azPc4WMZ307sLdejshG78+0Q0Vy5NrO46yP71rdChTpZQiszuc9b985OZKNZ1FxjL+9JjOwq+bCvOHtHsgvkmOk/TwKefrXVC/Dt/XFKIv0fl3kN8lgdfi+/htqZfi2sRg5EQxMJuEJiIKN33HjxrkCvLnCG4KDg/Haa68J/mCpdN9i95Vow3U+13GW1atXuylaGAwGpKam4qqrrkJ0dLSrjf8152Phwgk++/tNSz6umT+ONxj/f81HBbX1dYvv84p+Ksa8EXEYyaMHy37mggXjeX87Md/z3M/FGJUT5zX+i21vU5Ow9g7aCzH+8gwkRwTDarUiLy8Pc+fOdfPW79t8GkuvzPIZ+wcAP37k+7f78YvjuGXRCIT5kGIzW+0o+OokFi4c6/Uco8WGrYZTvOcAQHRpMwoq9Vg4M9PrOQzD4KvGo7h+0UTetliO4gyGT0rhTfJ6/5cy3DE+FDOGevdYbP/PESxYMAEymczrGADAxo+O4qYlvsd0rK4d7+4uw8KFuV7PKW00YkJAFRYu8J0Kv7HJ9zVctqME87OiMD4twmd7/2s+ivnzx3vdvXhvTxmWJoVhmpfqbl3JqDVgy4l6LJyX7fMzb1js+7crkBUhd3wCzh39hXMMXO19fBRLF3v/DoBTv/fcD2excOEon3279loB81JzPhYsGMc7DvUGMw7YzmPhwpG8bVntDvyy4TgWLhzHe97Wz4/h5sWjfCapbf3Y932vP1SJcWFKzMmJ4z1vVLMJ634pBVDudQwaWi3Y01Hs83u2Hq5ClDoIc0d4/8zz28/jyuwYjOEpSsGyz3YaE67wPhcyDIONTfm4TsB4AsKeDz+ersf8NCsWTkrxes5VHXb86b8neMezvcOOb3UnsOha7+cYj1QhTKXAnGFRnPPQxqajWHSd7+/2s/EEps/KQQRPkmlZkxGTZJVYuDDHZ3sA8K2AZwsAFG8rxlXDYzGaR8Wow+bAoS/4r/9NTUexRMB3bTJ24B8C7vNNHx3FrwXMQXYHgz2fFmDu3FFenwWA89rx1b/gogbU6M1YODnV6zl1v5QhN9H3fCs7WYd2qx0Lxye7duqFINj4LS0tBcMwyMrKwsGDBxEbeyFRJigoCHFxcQgI6JlsWS5iYmIQEBDg4eXVarUe3l2WhIQEzvMDAwNdhmx3lEollErPrUqFQuEaaIPZCk1wkNcHUFdiw1UwWBxelSEsNjtUikBBbcllcp/nNRmtSI4K9XlepFqJdpuMN9Ncb7IiUq0U1LeUqBBojdyhJK6+tVkQHaoS1F5GTChqDB3IiL1gTHcdAwBoaO1ASlSooKD4oMAAQB4ABU94QbvVgagw34H6CoUCVjvD+z0KKwwYkxrp87tOyozBf/ZX8p7nlE7yPaYsVw6Pw/4yHXKTvUttHS7XY/nlWVDwGA8jkzQ429DuJjnXfQzMVjtUigBBfUuNDkR9q4X33LpWK1KjQwS1l6gJhs7s/d4CgJImE5ZfkSWovfToENS1Wb3GfZ+sacWy6ZlQKHxPmyOTI/HKthLez2UYRtA9DQBpnX0DPMegKzKZHEqlj8IU4YEwmO0+P1do3yJCgmCygdeg0JlNiNeofbanUDg9b77O67AzCFP7XvQK+Q71rR24LDPG53lpMWGoN3QAkd7HoFJnwJC4MJ9tDY0Px7FKHe951ToLsuLCBY3BqOQInNWakBbDvYVUq3dKuQmdQ+LDVdBZHLz5I2e1JlyVE8fbpkKhAAPAIZN7rep5qFyPiRlRvO2MSY3C1pN1mD8y3tUuez4rpybku+UkhaO02YzJGu8u9/ON7RiRpBH8W4UHB6HdDp/SgVU6C4bE8berUDh3Sbyd4yweIey+jNcEQt9u832fC2xPAQAymetcb/eAkHsuNToUx6oNvOdp26yYF+37XkqKDMHBsmbeeZELwQlv6enpyMjIgMPhwKRJk5Cenu76l5iY2KuGL+A0sCdOnOjhas/Ly8P06dM53zNt2jSP83/88UdMmjRJ1I/UHb7Sfd2JDePPXhaipckil8tg8yE10mS0CJItcSo+8CeDCNEfZkmMCEatjyzVqpZ2pEYJk2hJjfIt0s3AdwINS1Ysv7yQlGxRvvccq9JhHE9BChaVIgB2B8Mrb3O4vAUTM/j1UbsyJTOat4AGq7jgy2s2JzfeZ3WlUzUGTnkiLgIEJPo49YJ9J18ATomnYh9JbwaBup4AMCYlAgVeJMoYhoGxw4ZQgdrHbAw33/3aIkDPlsVZFYz/fhV6DTvvGf5z7SL0p2MFyDBqW82Cq7sJyZ8VmmMrRDqqsplfo5pFESCH3cdvXNZkRCZPmViWzBjf5WJ1pg7eBUVXRiTxJ70JSQjryvCEcJyp5U8OO1vfiuECEl0npkfhCE9i7/6SJkz14d3Ljg9FkZdkNSGyZCzD4nwnvTmVHoT/VkITqn1pLLPwlb8WkjTHIiQRXW8SPj8CgCJAxquryzpDfJEoQIZQSHIx4FyoaQUoxHRHkPG7efNmVyDx5s2bef/1JqtWrcJ7772HdevWobCwEA8//DAqKiqwcuVKAM6QhTvuuMN1/sqVK1FeXo5Vq1ahsLAQ69atw/vvv48///nPfvVD22pGvIBBAdja094HWai8FgBECcisFpJRDQirjCJEhYJFiKZmZYtvpQcWp4SM94eDqcOGYBG6nLk+tCKFZpay+JKLO1GlF7RdCTgn9nM8+pNHypsxSUTBhBBlIDrsDq+ajAdLmzHFR7EBAJiQFoGjFfxZ1gWVwox8lgA5/+RZ7aNoSVeGxIXwljm2OxjIRSiRjE+LQH6FjrtfPoogcJGTEIZCHgOi1EcxhK4IqbDUbPStAy2UZmMHonzIkrEImktEOAx8Gaw2u0PwuPqafwFniJIvKbyu8Nm/ZU0mQbJRzqIv/L8ZA+FKOr4qs52uEab00LU9XwadrwIELDOyY7DrnPcqbSdrDBjlI0xPGRjgdSF5WqCKBeBUfDjnw/g9W9+KYfH8SWJdyU0ME6z4IIREjXcpvIomE9IEKDOwKBX88pLlzcJk01hSI/kVT5zzpG/bSBOsgN6HLdMu8Ppyzj/iSxwLcmNcf/31qKurQ1xcHK6//nqv58lkMtjtwst6imXp0qVoamrC008/jdraWowaNQpbtmxBeno6AKC2ttZN8zczMxNbtmzBww8/jDfeeANJSUl49dVXceONN/rVD63BItj4jQtT8T4YxBi/MWFBgnR8hSBE7khM34SUOK5qacd4gYZSerSaV06srFGYPAtLbmI4NuVXY8k47tdLG4RpHV7on1OSxtu2oLFDeIW0iWlOKZ8cL96GagHard0Zn+r0Yl7G4THefa4BN070HqfHEhggR3RIELQGMyKDuSeh41U6/FpAWyypkWpU69q9Gn2+Sht3ZUhsKHad9f5QLW1s86n92RU+b1x+hU7wtcsyNSsaB0qbMNrLIqi00Sj4Gk6ODEa1rh0jeJ7JVS3CPJjABQPTWy5CY5sFMWHCjF8hGuTaVosg3VRne0FoMnqXbHQWGBI2Lzk95u0+ZdGEEhuqhIHnmV3RZEJ6lO9rzpdRa7baoRRQkIJFHRSIdh4j50xdK5Zf7j2voDs5CWHYeLTa6+ttFhvUAue3kUnheH7rGc78HLPVjkC5zKfaDeC8zrieWWfqWnH9eGHJ9kIWkWar98JEXOQkhCPvNP8OmcFsFbxrxD77uBxFQmXJWFI7iwF5k6J0LtaEt5ceE4IyHrnK6hZhToKeLHShUgTA4kN1iwtBd5fD4UBcXJzr/739603Dl+W+++5DWVkZLBYLjhw5gpkzZ7pe++CDD7Bjxw6386+88kocPXoUFosFpaWlLi+xP9QbhG/h+Vrhi9kOjA7h314UUuWGJVZA4QchledYhJTFrGox+SxbyxKiDISpw3t7zu1F4YZNVmwIry6sGC8cAGREq1HWyG0o1RvMiPehtdyVCTw6lhVNvivicXFFdgx2e/G2FNW3CdquBIDZuXHYdsb7xC60XChLRoyad7u31WwT3F5KpJq3vOiJar2gEtksMpnMayGOI+UtmCCyXLEvfdJirbCiA8CFcth8OI1fYfdXdGfpX280CKjuxhITqvRZ6KJBQEVMlrgwFer13tur1Qs3ZpN9GDtGi02Qd4klNTIYzTxfVai3CgBUQQFe57iqFt9l4LsTogxEq5nbMjdahIfsAM7CQM1G71/0jIgwCplMhuw47gITRytaMD5N2H01Mikcpzk8rI0iQgF8VZps77BDpRBX/iBRQIXTiiYTMgQarXyL8JLGNlHPqbQofm3e8kajIG17V9986BDz6T5z4S1Uy2Jzykr2JqKLXBBAvRjPbw+GPcSEKdHE42ER01ZcuO8qb0JF1ll8RRzW6S2IF9FegNz79qdYY1URIOfdSi1tMiJLgueXi/wKHcaK8BLGhCq9GiI7zmpx1XD+LHQuxqRE4ARHlbF6gxmxoUrBK++Zw2KxvYjb+GXbEkN6dAjKvSwaxOIrhvhktfB4ZJZRyRqcqvEsElLSKO76AJzGiNlq57mG20R5XXxR1WJCqsCFkq+dHzEGRWyY75hfpzEtzJPsrPLmfc50VrETNv86PX3eH9aVIo3M1Cg1Gs3c947YvIEhMSE4r+W+FyqaxRu/3kIfTB02UZ5MlgCeHJPTImOIF4xOwPcnaz2O7y9pxpQsYfkMI5M1OFXj/v3aLDaEiPxuEWqF1/n2bH2r4AUpi0wmg9xHmePyJhPSBBqZ6dEhXh0rpY1GZMUID8nI5GkL6PT8ijB+M3wUuhCzAOcrdFGvt4jerRF7/wm6al599VXBDT744IOiOjAQqW81C95287ZVwyLK+A0N4i1jqW0VbpTHhqp6NOwBcAbqO3gSZRwMI2h7iyWls5xissbzoVnaaMTNl3mXSeEiQq1Ai7GDM8movFFcLFV6tHcP5rEqHRaNSRLVt6iQIE6D45fiRrx00zhRbQHOB5c6KBAGs9UtC3n3uUbMHOZbkJ0lXKWAMjCA0xjZWdSAmcM8yyPzkRGtxnYvnmTnal/cepwtOcsVYlImwWCdlBGJA6XNmJh+4YFcp3fuzkjZqsuOD8P5hjbObUernfGaAc9FUKAcPOHSqGppx3VjhV13vmLWG9ssGJ0cIaitmNAgn3OJ1e4Q/F3jw5Wo4zF+6/RmwR59X9vclc3tImMeg/GDl64551/h82VOojMPgSsspqzRhGwRcaeA0zN6qlrvEeoktFRvdzJjQlDSaOS8dk/XGHDNyATBbU1Mi8QrP53zCH04Wa3HA7OHCmojNzEc63aXIKOLzX2s0ne58e6wld64kuyK6loFVXbrTlpneIG30LmyJqOgPAsASI0KRqWXBZvZ6hC1UzEkLhSbj3nXJXeWHBe+c5ek6aya6OWriAlbS9SoUKNv53weV4v0IGuCnVXexDw9BBm///rXvwQ1JpPJBoXxK6T8Kosvj2NjmwXRISK2F3k8v/UGs+DJNzw4EAYfJQHFZoLGdGZ9c21vMgwDsaYDW8I2WeN5p0lJ7slNCEdhnQHTh3gafx0iHs6A06vX3sEd5nO2rhXD5op7cE1Mj8TR8hbM6/JAcXoNITh2uDtTh0Rj3/kmt4fU7nMN+Pt1I0S1c+PEFGzKr0Fat+O7ixvx/5bw65l2JznCGbvKRXWLsJrwXRkS41Tx6G5AOBwMHIxwxQKWCWmRWLen1O3YnuJGXMGjh8zHmBQNjlXqPAwIsTGdgDOplE8ApVZvFryz4ivsqbGtQ/DCV0yJYyHEh6twrMp7ie4afTvmjeSWt+yOLyWKimaT4BAgwGlMN1m4r6nSRqMoL1pOQhg+3s9dUae8yYi5I4R9R5bxaZH46mg1ll/uflxoWePujEmJ4Lx2AXGhf4Az3GB0igb5lTpM6AxzMHXYoAiQCV7whioDYeo25x4tb8G0Ib51t7syLD4U57wYv4V1BtwxLUNUe4Az6a2w1uDd+G004qZJwpw1ysAAWO2eNoOYsEaWOAHJqGIW9c7S3N7tGTFha4kRKtTpzZy7czUiE4zjwp25VQkiHh+CrrrS0lJB/0pK+CvCDFb4ri2bnUGQwIdgjI+JXGsw8+oyuvdJ2AUv5sZI1ASjxkvSW2NbB6IFbnuyDI0N9Rqn66u4CRc5iWGcnnO2bK0Uum+12B0MGECUhxsALsuIwv5u8mS/FDdiqsAtQS5mDI3Bni5xv20WG4wWG6JFhipcMTQG+0qa3bLcLTY7jBYbIgQqArAE8iwGK1vaBW/bswyJC0Vxg+dWb3mzSVQsG4tTpkfmFvf7c2E9rhTp4WYZmxKBYxzhJ+cb2jAkVtwCKTkyGM1eDC9A3M6Kz7AHEfH+vqTTxG5HxoUroeXx/DoX+cLnOb6Pr2w2ifL8RqoVMHoJvS5rFJ80W+FF0aZaZxZUvKcrmmAFWs1Wj9/7ZLWet/iQN8alcl+7FpsdgQFy0fPv0kmp+PzgBWP/cFkLZ0IuH2GqQBi7rLOOVYmL6wfgNf4YEH89sOQkhKOQRx3DuasnfK7kUsWR0jfn9c9w3oNi491ZFAH8O1BC4ZM7qxGoGsESH65EnY+E++74FfPr7Ue9lJH2ffnjgYQSEazwGiMDiMuC7g0SNSqvWr9VImTOWIbEhaCYQ8qq2Uvogi/GpkYgn0PHVUziUVciQzw9Xucb2ngrq3kjO84pd9b1Ovm6oAaLBW5jc5EerUZpo9EVt7flRC0WjPIs6e2LALkMk9IjUWy48LDbfqZBskEol3HHEkpJ8hmVrMGJKs8FTX5FiygJtq5MzYrC3vPORUOzsQMyGSRdb4DTU1jNse1+usYgeis6JcJ7spXYnRVfxq/BbEV4sLQdB4+22m0IF7ODFMK/w9VhcwjSEmWRdYZjcVGja0eiiIcsn8FXKjIJl81p4HqmiA0RY8mIDkFZt5jMWr1ZktqFt5ARp7a3eGM6IyYEVjvjklD75Xwj5y4cH1OzonC2cx7St1uhCJCJuhYA5+5TDcdzimEYOBiI9q4CnaEUXoxf1lEjZrHAPg+6UqwVv2AGnMmLTRwxzuUikvC6khYVjCaOqUNs2FpqpDNUhIsqkbuAfDuK3pBk/L7//vsYNWoUVCoVVCoVRo0ahffee09KUwMOQ7twtz5LpFqBFpPnxSfWkJbLZbzvEeMRAbwbIUCnlqbISSAxQuXV8ytGhonF29asVAMzXKVAm9nm8RuerjVghJTJnCPut6BCh7EpEaLbkslkmJAWiSOdurrVunYwgOAMeW9tXjksFj8VatFhc+B/+dVYMFp4nF5Xfj0xGTtqL3gRPjtYIdkwT47gXvE7iw2Im4wzo0NQ2ui5QDpY2ozJAmPsurN4XBK+OuKUefrvkUq/FiAymXNb12Jz3649XqUXfZ0kR3j3/DYZxe2sxIT6TngV69nzNjeJUbQBfM9zYv0P7JYoF3YHIzrOPEAGWDgUQaR45uI5+iZle5tlcmYUDpY2uf52JrtJK0DlTf3kaHmLK3RBLI9cMxz/2HoG7R12nKzWi46vnZkdg9Mtzt9my4la0aEhgHfFh1q9uOdnV4KDAmC2cYfBORPkxTmlRiZpcKrbLuX5BqOk597QuFBOJ1J5k1GQLF930qPVaGj3vD5rRUpy8iX2NbYJ33kCfCv/cCHa+H3iiSfwxz/+EYsWLcKXX36JL7/8EosWLcLDDz+Mv/3tb2KbG3BoW82iDZK4cCVnlTeDWZxHxBdihOkBVs6G28PSbOwQtU0DeF9RA2x1N/FbNlwG+nmJK2DAORF0D6UQKwDP4lR86Gb8VukwLi1CUt9unJCCj/aVw+Fg8Nz3Z3DvzCxJ7XTl1ilpWLenFPd9chR3X5EpKesbcHr1R0UyeOiL43j629O4ekS8ZG9oenQISjkmPWfmvbgFklwuQ4Bc7lHQo1YvXhuZJS5MhZTIYDz1zSkcKGnGvBHSFgwsuYnhHsUupHzX5AiVV8+vmCxrgI1Z9y6dJtbADO9MOOGi3iBc5swXVrsDgSJDlLwpPkjdtYxSOsMSumOxivNIA+y14W7kiJWL6splGVFu1R1PSAgL6MrIJI2HvFh+pfQ5LikiGNeMTMDy9Qdx36yh4h0sGhVMNqejZ3NBDa4TmVjMwiYYd+VYpXgt766EepGaK9a2YajIncVRyc7kxa6c07ZiiAjdcpahsdzG7/mGNgyJE99eRrQaDRw+LrEOrqBAz3m7K2IW38ledtj4EG38vvXWW3j33Xexdu1aLF68GIsXL8batWvxzjvv4O233xbb3IBDyirOubr3vFoaRHpEWLxN2kKru7HwVWbSitD5ZOG7AJ1hD+In9KFxoSjpZihJ3f4BnIUHfilucjvmXAGL3/7JiA7xKMRRo2tHkshYPZa0aDUyotX49dt7MWtYrF8PLZYQZSBevGksHr82F3NyxXtJujItnsGDs4di+pAY3D6le/qbcJwV7Twn43YRiaRdGZ4Q6laNSttqFn3tducv83OwcHQi/nXzONEP6O6MTdXgeJfYyQ6bA4Fy8TGT4cEKmL1IqTulsXqmkIPdIT6eni+xzGnMibsnAr2UURW7uwWwXiHPeUlqmFiMikFVt0W+w8EILrncFa4qgGfrpe1sAc45vcnY4YqrP1TWLNlLCwCXZUZi3/kL86XdwaDVbHNTkBHLTZelYsO903C5xCTSq5IcuOejfNw/e6jgfJnuOH93d6O+oFKcRGV3RiZpcKKbwQo4jVax48mqR3Sl2dghOl8D6MyL4Jhvi7VtGBorPtwvPUqNBg65PynP+OCgAI/EcafWsrhFpCZYAYOZXwe9O6KvHLvdjkmTJnkcnzhxImw2cR8+EKmTMPl6y7gUUz6YJUwV6HWQxfox+OSOxJRwZlEGBqDDy0quXkQyXldGp2hwotp9knImM0nTR71iaAx2n2tw/W22OpM3pBg4adFqN89ve4cdqsAAv6rXrJo3HF/9frqgCmxCSY1Si4pF5GNIbAjmjoj36zsOT/CMj3M4xKuBsEzNisae4guJfTuKGkTJuXERIJfhsowovx7yLGNSnNX2WE7V6CWF2fAhVqyeD7HyRwAbQ8y9i1QjoigFS1yYinNuqpMQv5ocwe35lbqDFK10hjh0Raw0E0sOR9l1qeoMLBPSIl1lyQ+VtWCiyOIsXZmUHoXDZRc8yYfLmjHRD2O6JxgaDnzzB+nGM+BU1zlc5l6A5kxdK7IlLjoAp0wiV3n0E1V6n+WbuyOTyRAUKHcVQTF12BAs0iBkSfWy82Ew26AReZ8DQEK4CjqOW13s7hPgrNLZfSe2vNkoSnZUKqKN39tvvx1vvfWWx/F33nkHt912W490qj8jZXUTG8atqStWRxdwxuo1cTwUpEgn8ckdOZMkpHkwuRM4pCUSjEmO8Ih9stkdouP0WIKDAhAUKHfVFT9c1oJJEh8OmmCFW8LbyRppWdXd6cnSj/2RWI5402qR0jZdmZoVjb1dvFPbz2gxS0JhkN6iu0ThL8WNuFykPBNLgAywcHhEy5vFidUDzm1Hrmp2ztLG4uclbwvpWp1ZVFIZ4Mze5tKWrpEwL3F50QBpihsAEK1iUNnNk3xO24qhIiTTWDRqhYfkpFStWZa5I+Lx/Yk6VDSZEBemlDxXAs5rJCZU6QpT+l9BNa4bKz5ptr8xKlmDk128tI1tFkSFBPm1yzM6WeO2yGVpNknz2E7JjHaFsPgTvhIYIPcoBuSPs8EZk+95vLLFhBSRu09D40Jxtt7dEVLWKC0RL5BDIYMPvxLe7rnnHtxzzz0YNWoU3n33Xcjlcqxatcr171KksrkdqSJXN84Sx1xhD+KCugFnnC5XJrRWRNU5Fr6M7zq9GQkSjF8uRQp/EjhSo4JR3uXB1dBqkTSRdGV2Tjx+PlMPANh8rFqUWHt3okIuCPzvP9+EyZnSjJrBhEwmgwzuGfgljUZkSYhnA5zSO9lxoTha0YLyJiNUigDRSam9TXJEMCo6s/APlwsv6dqdWBU84syBTgUUsd5aL6EKDa0W0eFYfCWOm4wWxAjUMmeJC1ehniMpslbXLtr4jQkN4pwzzzcYJRm/UUp4hFGcrW/DMIleQ5XCvcyxsYO7aItQRiSF43xDG/75YxFun5ouuR2Wu67IxHu7S6BtNaOprUNyyFl/QhEgh0oR4Mp5+V9+NeaP8i+2X6UIQKBcBl2X5PZafbuk0EYAmDcyHt90FqjIO12P2TnSF/RsMSBXvwziF6RdUcg9kz6lhMOMSYnA8W6a3mVN0naxkiKCUWcQHvcr2vg9efIkJkyYgNjYWJw/fx7nz59HbGwsJkyYgJMnTyI/Px/5+fkoKCgQ2/SAQGfqQISELUGusIcGCTFnMaFBnJ7fOoN4Y5VPHkSyPE6U2qM6TWWzSfSCgUUmk0ETrEBbpz19skb8FlJ35uY6J5WqFhPaLDZR2pzdmZEdgz3FzjCKgkqdZHmtwUZ3GaWShjZk+fFQvffKLDz3/Rn85b/Hcb/AilEXk2tGxuOb4zUo1rYhURMsOVYxIZhBsZeSuKLjdL0sfiXtSIV5JhCxOETmIgDOrVUuz29VSztSJCTOAp47UmKqUXVFIYdHeNe5+jZkS/D8Ak4JRtZjWKtvR0IPJAf+7dpczM6J9SuGlSU3MRx2B4MVHx7Bg3Oy/W6vv7B4XBK+OFwJh4PB9iIt5vhhXLIsGpuETfnVrr9/Ol2P2TnSci1SItWw2B0439CGwjqDX7sBQ2Pd8yyK6gycxUuEEq0CKrrM31I9yVyKSUV1raIKz7CkRAajtkW41q/o5eX27dvFvuWSQiYT/5BRKQK8Jm/EioyDjQlToopjC69WL94j4vRIcz+wdBLi/gDnFmNlczvGdJFxKmmQ7tUDgGlZUTh72jmhHCxtxkIJWrVd0agVuHxoDFZ+fASv3Dzer7auyI7BM98V4vIhMVArAyUbNYONkcnO5BA2tutsfatfHvi4MBXeu3MSAjvLOvc3ZmbH4oO9Zdh9rgHP/Gq05HYS1AyKu8XISRWr92b8alstopOkvHmRpSoqxIersK+kyeN4nUF4Fbvu7dUZ3Bf0UkOxWLoW2mkxia84yTIpPRJ7zzdh+pAYv2N0WbLjwyQb41z83/WjUGcwi47p7M/MzY3H7z46gtM1BVgwKlGSrnJ35o2Ixx3rDuL2qelQBMixvagBr98q/Rnz53nD8bf/ncDvrxzqVzjc6M75lnXOHKvUY9ZwaTrtAJCkZlBY24oRyc5rtUYvLWytq5wem+SmM0nT8U+JDEZ1Q4vvEzuhJ7UInJXApP1kXNetQUQpQBZvAvB1erNoj4GvykxSbrbMGLWH7mqpH1vaAHD5kGgcb3L25bREgfXu3DMjC98+MMPvLby4MBVsdgbPbCnEUoHlKwlnwsmR8gsTVY2EilbdCVcp+qXhCzjvtdduGY9/LR3n1zUXH+zcru+KVLF6bwmvUjy/3kocS9FFB7zH/Doc0oo/ZMeF4lyXql46UwfCVdKvla7hXVa7A/4IgoxNjXAlqO0sasBMicVjepPAAPklZfgCznvylZvH4b6rhvRIeAjg/J0WjE7E1wU1KKjUISUy2K85KTMmBJ/cMxVXZPuXwDs2NQIFXZLx/E2qTA9lcLxLzHRRXSuGxUub10Z3ib/usDkkL0JSIj13nfkQ/Slmsxn//Oc/sXDhQkyaNAkTJkxw+3cpU60TX6ihKz1RDc/b9qLUMAXAs/qRs5CBpKYwNC7MQ8aqpFG6NBngjOUJDwL++eNZJEcG+y091dP8Zf5wTMuK9nuCGkxkxYS4PJitZitClYGXfKJfmEoh+R5lUQYApm7SQBXN0sTqY0N7LhHXW2GKGgk7UoAzmVTfzZh2elpFNwWgswJXl8Sa41V6jJZQjIYlIzoEJZ2L/DO1rchJkG5IKALkiA1VoqiuFU1G8bkbhHRClIF+jR0Xv5mYgj3nGvDij0X4Yz8JE3GGXprBMAzsDgYddvGa1F2JUcFN5vOYHzJx04fGYPc5p1rP8SqdZOdWVmyIK69CCKKXJHfddRfy8vLw61//GpMnT77kH1hdcWppSlv9hqsUTi9IZyiBTWISWFRIEJo4PL/1BrMkzcrYMOd2ZVcRen+Kb2iCPbOX6w3iE2i6syTdAUd8GK4e0f8yjdOjQ3pMZmqwIJPJkKRRoaLJhKMVLX7JFg02AuUyWLsonpQ2mjBeQtEBb2EPRosNoX4kXHWlVt+ORInbod1NaZ3JCk2wtNCC0ckabDhc6fr7eJUOU7OkJ6eOSdEgv0KHielRyK+UXkqb5Q9XDcXN7+zHmsUj/WqH6HtUigC87Gc4XW+QkxCGUzUG2B0MRiX5pyEvlzmLejhzoIJwurYV98+WZuiPS43AKz+fAwDsKW7EDIlOJHVQINq9VNnjQvQM991332HLli24/PLLxb51wFNc34aREqWsYsOdKy/W+K1vFV8sA3Bq6XJVRRFb757FuVXQ7mb8Vre0I8mPTNAAuRw2u3P7gvUq+7tIksuA68YmQqHoX1n8hHRuuiwV//jhDJraOrBu+WV93Z0BQ3qnvjRbNepcfSuWXiY+5CY61HuSmhSUgQFusXuAsxKa1KIvAd2MfCkl0llYSTE2TvdIeQtW+FFBcWxKODYW1AIA9hY34Z+/GSO5LQDIiAnBvtWzB5Uzibi43DgxBev3lCEuXOlXvC/LjOxo7Chq6FTJYCTnuwTIZciKCcHRihYcKmvG/VdJT1gWc/eI7m1ycjLCwnoukH4gUVTfKjlDMjFc5aasUN3SjuSInouhkjpncpX+rGj2TzDfmcHpbLO0yShaf5QYHExIi8TM7Fg8tjBXUsLWYCU3MdytkpTUZCtFgBw2u/+hWCxJESoPCbDKZhPSJO6WddfnlarOwDIkNhSFta2o1rUjMiQIykDp11yYSgGjxYaqFhMYMAjrgWIoZPgSvUlOQjiiQoNQ1dLeI0mV80bE4dvjNdh51v849d/PGoLnvz+Dmyal+pV4KCbpTvSnvPjii/jrX/+K8vJysW8d8DS1iS/5y5IZG+oSCgc6y+D64V3tis3ugFzixNldcgoAyprEC+Z3JScx3FUP/niVDmNS/C/TS1ya3HRZKkbT9SGKiWkRrupUzvAp//KWu8bqmq12KBXS2uOSTqz0I1QsKzYEJV2S+4q10sv+AsCtU1Lx3p4SvPrTOfx2eqbkdlhumZyGG97ci3uvHOJ3WwRxMfjr/Bz8a+m4HllohakUyIgOwb/yzuK6MUl+tRUfrsKGe6dhybhkv9oRk/grepabNGkSzGYzsrKyEBYWhqioKLd/lyoWm38PmawY94ncn+S57qLoUsoks6RGqj08v+VNRsnlgwFgalaUqx787rONmD6UCj8QRE+R3MXDesaPLGvAszKb1mCRVIYcAJIj1ajutpC2SAzHAoCsmFCUdJF1K6r3r/zs0LgwjEzSIDcxrEcWXHNHxGP7n2eJloUjiEuFxxbm4suV0yTL/PU0U0TE8YuO+b3llltQXV2NZ599FvHx8YNmq6awxuCXB7O7V+S8tg23Tk6T1FZatFNLd3in6HVFs0mysRoT6qn162+CWkqnQW222tFk7JD8MCUIwhOZTIYwVSD0Jiv2FDfiCj+SBTNiQlDWaHLdo1LKt7MkRwSjoPKCfJ2/6jZDYkPwvy4FA4wWm9/hBXdf4b/Htyv+VGIjiIGOXC7rkZCfnoLNgxCC6Dt379692LdvH8aOHSv2rQOaw+U6XDkmQ/L75XIZHF0eBi0ShZyBC1VRWOO3rFF6jG73frH4u6iZkhmFu/9zCDeR9i1B9DhzcuPw3Yla7DvfhOXTMyS3w+pyT8507to5k8qkLaSTI4PdPL+NbR2ICZXuEYoNU6K+1an122q2Ulw4QRA9huh9/JycHLS3C6+ffKmwu7gRk/wMEndWVDNLljljSY8OQXmXkoD+xuhGqoNcNc7NVjuUPVCl7N4rh+CeGVlYPNa/WCCCIDxZODoRH+8vx9SsaL/0OjNiQlDaRa+z0g/PryZYAX0XmUNn+JT0eUkmk0EdFACjxYaDpc2YnHHphtURBHFxEW3lPPfcc/jTn/6EHTt2oKmpCQaDwe3fpcr7d0zwu/zh6GQNTtbocU7bhiF+xK5lRIe41BQAVp1BeozusIQLAvBFda09UhZTESDHVcPjBk1YDEFcTJSBAfjuwSvw+1n+JVtlRIe4VWSsammXnKDGwoY7lDQYkRnjn9LLhLRIHC5vwfYiLa7I7n+VzwiCGJiIDnuYP38+AGDOnDlux1n9RLtduMjwQKIn6n6PT4vEt8drERdmwjQ/BNZZDzKL2epftZZh8aE4W9+KqVnRONVD5YMJguhdemJhqVIEwGx1uOZvnalDUjliFrZwRly4Cieq9fidH1q6ALBgdCL++Fk+okOD/FJ6IAiC6Ipo43f79u290Y9BwcikcDz3/RkEBcolidKzOON0nf/PMIwoYWcuhsWH4adCLQDgVI3eb28SQRADh8yYEJQ2GpEWpfYrHAsAhsaFoljbhrhwlV/JcyzJEcF4aslIyXHIBEEQXIg2fq+88kqvrxUUFPjTl0semUyGpZelot5g9jtLOCJYgcY2C4wWm1/C74DzAVPZbALDMKhoNiFZQjlSgiAGJpMynKEFVjuDIbH+eVfHpkTgUFkzRiZroFIE9Ih3eqSfpVgJgiC64/devl6vx5tvvokJEyZg4sSJPdEnTlpaWrBs2TJoNBpoNBosW7YMOp2O9z0bN27ENddcg5iYGMhksn5hnC8am4R7Zvi3FQgAkzOjcKi0GfkVOr91JmUyGTKiQ/DDqXoMiQ2lOF2CGERMzojCL8WNOFLegrGpEX61NSE9EkcrdNh6shbXjEzomQ4SBEH0MJKN323btuH2229HYmIiXnvtNSxcuBCHDx/uyb65ceutt6KgoABbt27F1q1bUVBQgGXLlvG+x2g04vLLL8dzzz3Xa/3qK6YNicbu4kYcrWjBOD8fWABwx7R0PPd9IUmTEcQgIy5cBVOHHV8drcKMbOmawYAz0TUlMhifHqgg45cgiH6LqL33qqoqfPDBB1i3bh2MRiNuuukmWK1WfPXVVxgxYkRv9RGFhYXYunUr9u/fjylTpgAA3n33XUybNg1FRUUYPnw45/tY47isrKzX+tZXpEeHoEbXDrPV7pfSA0t2fBh2PHJVD/SMIIiBxt+vGwF9u7VHBOvXLBqJDrt/SbgEQRC9iWDjd+HChdizZw+uu+46vPbaa5g/fz4CAgLw9ttv92b/AAD79u2DRqNxGb4AMHXqVGg0Guzdu9er8SsFi8UCi+VCxTNWvs1qtcJqtXp7W5/wwo2jYHcwsNlsvk8ewLC/e3/7/QcTNAZ9T2+OQUKYAglhih5rOwCA1erokbb6E3Qf9C30+/c9/XkMxPRJsPH7448/4sEHH8Tvf/97ZGdnS+qYVOrq6hAXF+dxPC4uDnV1dT36WWvXrsVTTz3lcXz79u1QqynjuC/Jy8vr6y4MemgM+h4ag76HxqBvod+/7+mPY2AymXyf1Ilg43f37t1Yt24dJk2ahJycHCxbtgxLly6V1EGWNWvWcBqaXTl06BAAbk1LVpuyJ1m9ejVWrVrl+ttgMCA1NRVXXXUVoqOla/MS0rFarcjLy8PcuXOhUPSfOuKDCRqDvofGoO+hMehb6Pfve/rzGIgptCbY+J02bRqmTZuGV155BZ9//jnWrVuHVatWweFwIC8vD6mpqQgLE1cZ7P7778fNN9/Me05GRgaOHz+O+vp6j9caGhoQHx8v6jN9oVQqoVQqPY4rFIp+N9CDDRqDvofGoO+hMeh7aAz6Fvr9+57+OAZi+iNabFatVuOuu+7CXXfdhaKiIrz//vt47rnn8Oijj2Lu3LnYvHmz4LZiYmIQE+M7u3jatGnQ6/U4ePAgJk+eDAA4cOAA9Ho9pk+fLvYrEARBEARBEIMUv3R+hw8fjn/84x+oqqrCZ5991lN98iA3Nxfz58/HihUrsH//fuzfvx8rVqzAdddd55bslpOTg02bNrn+bm5uRkFBAU6fPg0AKCoqQkFBQY/HCRMEQRAEQRADA7+LXABAQEAArr/+elFeX7F88sknGD16NObNm4d58+ZhzJgx+Oijj9zOKSoqgl6vd/29efNmjB8/Htdeey0A4Oabb8b48eMvikIFQRAEQRAE0f/wr8buRSQqKgoff/wx7zkMw7j9vXz5cixfvrwXe0UQBEEQBEEMJHrE80sQBEEQBEEQAwEyfgmCIAiCIIhBAxm/BEEQBEEQxKCBjF+CIAiCIAhi0EDGL0EQBEEQBDFoIOOXIAiCIAiCGDSQ8UsQBEEQBEEMGsj4JQiCIAiCIAYNZPwSBEEQBEEQgwYyfgmCIAiCIIhBAxm/BEEQBEEQxKCBjF+CIAiCIAhi0EDGL0EQBEEQBDFoIOOXIAiCIAiCGDSQ8UsQBEEQBEEMGsj4JQiCIAiCIAYNZPwSBEEQBEEQgwYyfgmCIAiCIIhBAxm/BEEQBEEQxKCBjF+CIAiCIAhi0EDGL0EQBEEQBDFoIOOXIAiCIAiCGDSQ8UsQBEEQBEEMGsj4JQiCIAiCIAYNZPwSBEEQBEEQgwYyfgmCIAiCIIhBAxm/BEEQBEEQxKCBjF+CIAiCIAhi0DBgjN+WlhYsW7YMGo0GGo0Gy5Ytg06n83q+1WrFX//6V4wePRohISFISkrCHXfcgZqamovXaYIgCIIgCKJfMWCM31tvvRUFBQXYunUrtm7dioKCAixbtszr+SaTCUePHsUTTzyBo0ePYuPGjTh79iwWL158EXtNEARBEARB9CcC+7oDQigsLMTWrVuxf/9+TJkyBQDw7rvvYtq0aSgqKsLw4cM93qPRaJCXl+d27LXXXsPkyZNRUVGBtLS0i9J3giAIgiAIov8wIIzfffv2QaPRuAxfAJg6dSo0Gg327t3LafxyodfrIZPJEBER4fUci8UCi8Xi9h4AaG5ultZ5wm+sVitMJhOampqgUCj6ujuDEhqDvofGoO+hMehb6Pfve/rzGLS2tgIAGIbxee6AMH7r6uoQFxfncTwuLg51dXWC2jCbzXj00Udx6623Ijw83Ot5a9euxVNPPeVxfNiwYcI7TBAEQRAEQVx0WltbodFoeM/pU+N3zZo1nIZmVw4dOgQAkMlkHq8xDMN5vDtWqxU333wzHA4H3nzzTd5zV69ejVWrVrn+1ul0SE9PR0VFhc8fk+gdDAYDUlNTUVlZybtwIXoPGoO+h8ag76Ex6Fvo9+97+vMYMAyD1tZWJCUl+Ty3T43f+++/HzfffDPvORkZGTh+/Djq6+s9XmtoaEB8fDzv+61WK2666SaUlpZi27ZtPgdLqVRCqVR6HNdoNP1uoAcb4eHhNAZ9DI1B30Nj0PfQGPQt9Pv3Pf11DIQ6KfvU+I2JiUFMTIzP86ZNmwa9Xo+DBw9i8uTJAIADBw5Ar9dj+vTpXt/HGr7nzp3D9u3bER0d3WN9JwiCIAiCIAYeA0LqLDc3F/Pnz8eKFSuwf/9+7N+/HytWrMB1113nluyWk5ODTZs2AQBsNht+/etf4/Dhw/jkk09gt9tRV1eHuro6dHR09NVXIQiCIAiCIPqQAWH8AsAnn3yC0aNHY968eZg3bx7GjBmDjz76yO2coqIilzpDVVUVNm/ejKqqKowbNw6JiYmuf3v37hX8uUqlEk8++SRnKARxcaAx6HtoDPoeGoO+h8agb6Hfv++5VMZAxgjRhCAIgiAIgiCIS4AB4/klCIIgCIIgCH8h45cgCIIgCIIYNJDxSxAEQRAEQQwayPglCIIgCIIgBg1k/PLw5ptvIjMzEyqVChMnTsTu3bv7ukuDijVr1kAmk7n9S0hI6OtuXbLs2rULixYtQlJSEmQyGf73v/+5vc4wDNasWYOkpCQEBwdj1qxZOHXqVN909hLF1xgsX77c456YOnVq33T2EmXt2rW47LLLEBYWhri4OFx//fUoKipyO4fuhd5FyBjQvdB7vPXWWxgzZoyrkMW0adPw/fffu16/FK5/Mn69sGHDBjz00EN4/PHHkZ+fjxkzZmDBggWoqKjo664NKkaOHIna2lrXvxMnTvR1ly5ZjEYjxo4di9dff53z9X/84x946aWX8Prrr+PQoUNISEjA3Llz0draepF7euniawwAYP78+W73xJYtWy5iDy99du7ciT/84Q/Yv38/8vLyYLPZMG/ePBiNRtc5dC/0LkLGAKB7obdISUnBc889h8OHD+Pw4cOYPXs2lixZ4jJwL4nrnyE4mTx5MrNy5Uq3Yzk5Ocyjjz7aRz0afDz55JPM2LFj+7obgxIAzKZNm1x/OxwOJiEhgXnuuedcx8xmM6PRaJi33367D3p46dN9DBiGYe68805myZIlfdKfwYpWq2UAMDt37mQYhu6FvqD7GDAM3QsXm8jISOa99967ZK5/8vxy0NHRgSNHjmDevHlux+fNmyeqQAbhP+fOnUNSUhIyMzNx8803o6SkpK+7NCgpLS1FXV2d2z2hVCpx5ZVX0j1xkdmxYwfi4uIwbNgwrFixAlqttq+7dEnDFk6KiooCQPdCX9B9DFjoXuh97HY7Pv/8cxiNRkybNu2Suf7J+OWgsbERdrsd8fHxbsfj4+NRV1fXR70afEyZMgUffvghfvjhB7z77ruoq6vD9OnT0dTU1NddG3Sw1z3dE33LggUL8Mknn2Dbtm148cUXcejQIcyePRsWi6Wvu3ZJwjAMVq1ahSuuuAKjRo0CQPfCxYZrDAC6F3qbEydOIDQ0FEqlEitXrsSmTZswYsSIS+b6D+zrDvRnZDKZ298Mw3gcI3qPBQsWuP5/9OjRmDZtGoYMGYL//Oc/WLVqVR/2bPBC90TfsnTpUtf/jxo1CpMmTUJ6ejq+++473HDDDX3Ys0uT+++/H8ePH8eePXs8XqN74eLgbQzoXuhdhg8fjoKCAuh0Onz11Ve48847sXPnTtfrA/36J88vBzExMQgICPBYxWi1Wo/VDnHxCAkJwejRo3Hu3Lm+7sqgg1XZoHuif5GYmIj09HS6J3qBBx54AJs3b8b27duRkpLiOk73wsXD2xhwQfdCzxIUFIShQ4di0qRJWLt2LcaOHYtXXnnlkrn+yfjlICgoCBMnTkReXp7b8by8PEyfPr2PekVYLBYUFhYiMTGxr7sy6MjMzERCQoLbPdHR0YGdO3fSPdGHNDU1obKyku6JHoRhGNx///3YuHEjtm3bhszMTLfX6V7ofXyNARd0L/QuDMPAYrFcMtc/hT14YdWqVVi2bBkmTZqEadOm4Z133kFFRQVWrlzZ110bNPz5z3/GokWLkJaWBq1Wi//7v/+DwWDAnXfe2ddduyRpa2tDcXGx6+/S0lIUFBQgKioKaWlpeOihh/Dss88iOzsb2dnZePbZZ6FWq3Hrrbf2Ya8vLfjGICoqCmvWrMGNN96IxMRElJWV4bHHHkNMTAx+9atf9WGvLy3+8Ic/4NNPP8XXX3+NsLAwl4dLo9EgODgYMpmM7oVextcYtLW10b3Qizz22GNYsGABUlNT0drais8//xw7duzA1q1bL53rv890JgYAb7zxBpOens4EBQUxEyZMcJNZIXqfpUuXMomJiYxCoWCSkpKYG264gTl16lRfd+uSZfv27QwAj3933nknwzBOiacnn3ySSUhIYJRKJTNz5kzmxIkTfdvpSwy+MTCZTMy8efOY2NhYRqFQMGlpacydd97JVFRU9HW3Lym4fn8AzPr1613n0L3Qu/gaA7oXepe77rrLZfvExsYyc+bMYX788UfX65fC9S9jGIa5mMY2QRAEQRAEQfQVFPNLEARBEARBDBrI+CUIgiAIgiAGDWT8EgRBEARBEIMGMn4JgiAIgiCIQQMZvwRBEARBEMSggYxfgiAIgiAIYtBAxi9BEARBEAQxaCDjlyAIgiAIghg0kPFLEAQxQFizZg3GjRvXZ5//xBNP4He/+52gc//85z/jwQcf7OUeEQRBiIcqvBEEQfQDZDIZ7+t33nknXn/9dVgsFkRHR1+kXl2gvr4e2dnZOH78ODIyMnyer9VqMWTIEBw/fhyZmZm930GCIAiBkPFLEATRD6irq3P9/4YNG/D3v/8dRUVFrmPBwcHQaDR90TUAwLPPPoudO3fihx9+EPyeG2+8EUOHDsXzzz/fiz0jCIIQB4U9EARB9AMSEhJc/zQaDWQymcex7mEPy5cvx/XXX49nn30W8fHxiIiIwFNPPQWbzYZHHnkEUVFRSElJwbp169w+q7q6GkuXLkVkZCSio6OxZMkSlJWV8fbv888/x+LFi92O/fe//8Xo0aMRHByM6OhoXH311TAaja7XFy9ejM8++8zv34YgCKInIeOXIAhiALNt2zbU1NRg165deOmll7BmzRpcd911iIyMxIEDB7By5UqsXLkSlZWVAACTyYSrrroKoaGh2LVrF/bs2YPQ0FDMnz8fHR0dnJ/R0tKCkydPYtKkSa5jtbW1uOWWW3DXXXehsLAQO3bswA033ICum4mTJ09GZWUlysvLe/dHIAiCEAEZvwRBEAOYqKgovPrqqxg+fDjuuusuDB8+HCaTCY899hiys7OxevVqBAUF4ZdffgHg9ODK5XK89957GD16NHJzc7F+/XpUVFRgx44dnJ9RXl4OhmGQlJTkOlZbWwubzYYbbrgBGRkZGD16NO677z6Ehoa6zklOTgYAn15lgiCIi0lgX3eAIAiCkM7IkSMhl1/wY8THx2PUqFGuvwMCAhAdHQ2tVgsAOHLkCIqLixEWFubWjtlsxvnz5zk/o729HQCgUqlcx8aOHYs5c+Zg9OjRuOaaazBv3jz8+te/RmRkpOuc4OBgAE5vM0EQRH+BjF+CIIgBjEKhcPtbJpNxHnM4HAAAh8OBiRMn4pNPPvFoKzY2lvMzYmJiADjDH9hzAgICkJeXh7179+LHH3/Ea6+9hscffxwHDhxwqTs0NzfztksQBNEXUNgDQRDEIGLChAk4d+4c4uLiMHToULd/3tQkhgwZgvDwcJw+fdrtuEwmw+WXX46nnnoK+fn5CAoKwqZNm1yvnzx5EgqFAiNHjuzV70QQBCEGMn4JgiAGEbfddhtiYmKwZMkS7N69G6Wlpdi5cyf++Mc/oqqqivM9crkcV199Nfbs2eM6duDAATz77LM4fPgwKioqsHHjRjQ0NCA3N9d1zu7duzFjxgxX+ANBEER/gIxfgiCIQYRarcauXbuQlpaGG264Abm5ubjrrrvQ3t6O8PBwr+/73e9+h88//9wVPhEeHo5du3Zh4cKFGDZsGP72t7/hxRdfxIIFC1zv+eyzz7BixYpe/04EQRBioCIXBEEQhE8YhsHUqVPx0EMP4ZZbbvF5/nfffYdHHnkEx48fR2AgpZcQBNF/IM8vQRAE4ROZTIZ33nkHNptN0PlGoxHr168nw5cgiH4HeX4JgiAIgiCIQQN5fgmCIAiCIIhBAxm/BEEQBEEQxKCBjF+CIAiCIAhi0EDGL0EQBEEQBDFoIOOXIAiCIAiCGDSQ8UsQBEEQBEEMGsj4JQiCIAiCIAYNZPwSBEEQBEEQgwYyfgmCIAiCIIhBw/8HrvquKglyEMoAAAAASUVORK5CYII=", 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "m = 1.0 # system mass (kg)\n", "fn = 1.0 # system natural frequency (Hz)\n", "zt = 0.01 # system damping ratio (nondim)\n", "\n", "F = MRPy.white_noise(1, 2048, Td=32) # 32 seconds white noise\n", "F = (F - F.mean())/F.std() # unit variance\n", "\n", "# Uncomment the following line for padding zeros to force same result\n", "# F = F.double().double()\n", "\n", "uF = F.sdof_Fourier(fn, zt)/m # 1Hz, 1% damping, 1kg mass\n", "uD = F.sdof_Duhamel(fn, zt, U0=0., V0=0.)/m # zero initial conditions\n", "\n", "uE = uF - uD # solutions difference\n", "\n", "f2 = F.plot_time(2, figsize=(8,2), axis_t=(0, 32, -4.0, 4.0))\n", "f3 = uF.plot_time(3, figsize=(8,2), axis_t=(0, 32, -0.2, 0.2))\n", "f4 = uD.plot_time(4, figsize=(8,2), axis_t=(0, 32, -0.2, 0.2))\n", "f5 = uE.plot_time(5, figsize=(8,2), axis_t=(0, 32, -0.2, 0.2))\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are many areas in engineering analysis where design codes define dynamic loads as power spectra.\n", "For instance, surface irregularities in pavements, earthquake accelerations, wind speeds, etc.\n", "In these cases, the equation:\n", "\n", "$$ U(\\omega) = H(\\omega) F(\\omega) $$\n", "\n", "which includes both amplitude and phase information, is replaced by:\n", "\n", "$$ S_U(\\omega) = \\lvert H(\\omega) \\rvert^2 S_F(\\omega) $$\n", "\n", "where, instead of the complex Fourier transforms, the (real) spectral densities are used.\n", "In this new equation, the absolute squared mechanical admittance becomes a real function:\n", "\n", "$$ \\lvert H(\\omega) \\rvert^2 = \\frac{1}{\\omega_{\\rm n}^4} \\; \\left[ \\frac{1}{(1 - \\beta^2)^2 + (2\\zeta\\beta)^2} \\right]$$\n", "\n", "with $\\beta = \\omega/\\omega_{\\rm n}$. \n", "The phase angle between the excitation and the response is also a function of frequency, given by:\n", "\n", "$$ \\theta(\\beta, \\zeta) = \\tan^{-1}\\frac{2\\zeta\\omega_{\\rm n}\\omega}{\\omega_{\\rm n}^2 - \\omega^2} = \n", " \\tan^{-1}\\frac{2\\zeta\\beta}{1 - \\beta^2}$$\n", "\n", "The square root of the expression between brackets in the equation for $ \\lvert H(\\omega) \\rvert^2 $\n", "is also called _dynamic amplification factor_, $A(\\beta, \\zeta)$:\n", "\n", "$$ A(\\beta, \\zeta) = \\sqrt{\\frac{1}{(1 - \\beta^2)^2 + (2\\zeta\\beta)^2}} $$\n", "\n", "Both the amplification and the phase angle are plotted below for some typical values of the damping ratio.\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bt = np.linspace(0, 3, 200)\n", "zt = [0.20, 0.10, 0.05, 0.01]\n", "\n", "plt.figure(6, figsize=(8,4), clear=True)\n", "\n", "for z in zt:\n", " A = np.sqrt(1/((1 - bt**2)**2 + (2*z*bt)**2))\n", " f6 = plt.semilogy(bt, A )\n", "\n", "plt.legend(zt)\n", "plt.axis([0, 3, 0.1, 100])\n", "plt.ylabel('Dynamic Amplification (nondim)')\n", "plt.xlabel('Normalized frequency')\n", "plt.grid(True)\n" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(7, figsize=(8,4), clear=True)\n", "\n", "for z in zt:\n", " ph = np.arctan(2*z*bt/(1 - bt**2)) * (180/(2*np.pi))\n", " f7 = plt.plot(bt, ph)\n", "\n", "plt.legend(zt)\n", "plt.axis([0, 3, -60, 60])\n", "plt.ylabel('Phase angle (degrees)')\n", "plt.xlabel('Normalized frequency')\n", "plt.grid(True)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Observe that as the frequency goes toward zero (static loading) the system response is in phase with\n", "the excitation. Weakly damped systems also respond nearly in phase, except when approaching resonance.\n", "The phase angle at ressonance is 45 degrees.\n", "\n", "The most important features of the dynamic amplification factor are:\n", "\n", "* The factor represents the dynamic response increase with respect to the static response to a harmonic loading:

$$ F(t) = F_{\\rm max} \\sin(\\omega t + \\theta) $$ or $$ F(t) = F_{\\rm max} \\cos(\\omega t - \\theta) $$
such that
$$ u_{\\rm max} = A(\\beta, \\zeta) \\; \\frac{F_{\\rm max}}{m \\omega_{\\rm n}^2} $$
and the phase angle as given before.\n", "* Recall that $m \\omega_{\\rm n}^2$ is the stiffness coefficient and the phase information is lost.\n", "* For very low frequencies the amplification becomes $A(\\beta, \\zeta) = 1$, what means static response.\n", "* For $\\beta \\approx 1$ the amplification attains its maximum, which is approximatelly $A(1, \\zeta) = 1/(2\\zeta)$. This means, for instance, that for a typical damping ratio, $\\zeta = 1$%, the dynamic response is amplified approximately 50 times with respect to the static response.\n", "\n", "Lets take a look at this theory by running an example.\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Static displacement would be: 0.025m\n", "Peak of dynamic displacement: 1.261m\n", "Amplification factor is: 49.8 \n" ] }, { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "m = 1.0 # system mass (kg)\n", "fn = 1.0 # system natural frequency (Hz)\n", "zt = 0.01 # system damping ratio (nondim)\n", "k = m*(2*np.pi*fn)**2 # implied stiffness\n", "\n", "Td = 32 # load duration (s)\n", "fs = 32 # sampling rate (Hz)\n", "N = Td*fs # signal length\n", "f0 = 1.0 # excitation frequency (Hz)\n", "F0 = 1.0 # excitation amplitude (N)\n", "phi = 0.0 # phase angle (rad)\n", "\n", "F = F0*MRPy.harmonic(1, N, fs, f0=f0, phi=phi) # harmonic loading\n", "\n", "ue = F0/k # static response\n", "ud = F.sdof_Fourier(fn, zt)/m # dynamic response\n", "up = ud[0].max() # peak response\n", "\n", "f7 = F.plot_time(7, figsize=(8,2), axis_t=(0,32,-1.5,1.5))\n", "f8 = ud.plot_time(8, figsize=(8,2), axis_t=(0,32,-1.5,1.5))\n", "\n", "print('Static displacement would be: {0:6.3f}m'.format(ue))\n", "print('Peak of dynamic displacement: {0:6.3f}m'.format(up))\n", "print('Amplification factor is: {0:4.1f} '.format(up/ue))\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 4. Example of application \n", "\n", "The aerodynamic force over a bluff body due to wind speed turbulence \n", "can be calculated as:\n", "\n", "$$ F(z, t) = \\frac{1}{2} \\rho V^2(z, t) C_{\\rm D} A $$\n", "\n", "where $z$ is the height above ground, $\\rho$ is the air density, $V(z,t)$ \n", "is the wind speed at height $z$, and the product $C_{\\rm D} A$ refers\n", "to the aerodynamic characteristics of the body.\n", "It can be shown that the spectral density of this aerodynamic force\n", "is related to the spectral density of the (fluctuating part) of the wind\n", "speed through:\n", "\n", "$$ S_F(z, f) = \\left [\n", " \\frac{2\\bar{F}(z)}{\\bar{V}(z)} \\right ]^2 S_v(z, f)$$\n", "\n", "where $f$ is the frequency, $\\bar{F}(z)$ is the mean force at height $z$,\n", "and $\\bar{V}(z)$ is the mean wind speed at height $z$. \n", "\n", "The wind speed turbulence, $v(t)$, may be modelled according to Harris' spectral density, $S_V(f)$:\n", "\n", "$$ \\frac{f S_V(f)}{\\sigma_V^2} = \\frac{0.6 Y}{\\left( 2 + Y^2 \\right)^{5/6}}$$\n", "with:\n", "\\begin{align*}\n", " Y &= 1800 f \\;/\\; \\bar{V}_{10} \\\\\n", " \\sigma_V^2 &= 6.66 \\; c_{\\rm as} \\; \\bar{V}_{10}^2\n", "\\end{align*}\n", "\n", "where $\\sigma_V^2$ is the wind speed variance, $c_{\\rm as}$ is the surface drag coefficient and $\\bar{V}_{10}$ is the mean wind speed at 10m height.\n" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cas = 6.5e-3 # NBR-6123 category II\n", "V10 = 20. # mean speed at 10m (m/s)\n", "sV2 = 6.66*cas*(V10**2) # wind speed variance \n", "\n", "fs = 64. # samplig rate\n", "N = 8192 # length of sample\n", "M = N//2 + 1 # length of periodogram\n", "df = fs/M # frequency step\n", "\n", "f = np.linspace(0, fs/2, M) # frequency axis\n", "Y = 1800*f[1:]/V10 # avoiding zero division\n", "\n", "SV0 = np.zeros((2, M))\n", "SV0[0,1:] = 0.6*sV2*Y/((2 + Y**2)**(5/6))/f[1:]\n", "SV0[1,1:] = SV0[0,1:] # (replicating)\n", "\n", "plt.figure(6, figsize=(8, 3))\n", "plt.loglog(f[1:], SV0[0,1:]);\n", "plt.grid(True)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 5. Assignment \n", "\n", "1. Calcular as funções $K(\\omega)$ e $\\mu(\\omega)$ para o modelo reológico de Zener (escolha uma das\n", " duas versões, Maxwell ou Kelvin).\n", "2. Aplique as funções acima na equação de equilíbrio dinâmico no domínio da frequência e deduza\n", " a correspondente função de admitância mecânica.\n", "3. Plote esta admitância em função da frequência adimensionalizada.\n", "4. Apresente a expressão da frequência natural de vibração livre para este modelo.\n", "4. Relatório com deduções, gráficos e resultados (nome do arquivo T6_xxxxxxxx.ipynb).\n", "\n", "Prazo: 03 de junho de 2020.\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.7" } }, "nbformat": 4, "nbformat_minor": 4 }