{ "cells": [ { "cell_type": "markdown", "metadata": { "nbpages": { "level": 0, "link": "[](https://jckantor.github.io/CBE32338/02.11-TCLab-Lab-2-Fitting.html)", "section": "" } }, "source": [ "\n", "*This notebook contains material from [CBE32338](https://jckantor.github.io/CBE32338);\n", "content is available [on Github](https://github.com/jckantor/CBE32338.git).*\n" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 0, "link": "[](https://jckantor.github.io/CBE32338/02.11-TCLab-Lab-2-Fitting.html)", "section": "" } }, "source": [ "\n", "< [2.10 TCLab Lab 2: Model Identification](https://jckantor.github.io/CBE32338/02.10-TCLab-Lab-2-Model-Indentification.html) | [Contents](toc.html) | [3.0 State Estimation](https://jckantor.github.io/CBE32338/03.00-State-Estimation.html) >

\"Open

\"Download\"" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# IMPORT DATA FILES USED BY THIS NOTEBOOK\n", "import os, requests\n", "\n", "file_links = [(\"data/tclab-data.csv\", \"https://jckantor.github.io/CBE32338/data/tclab-data.csv\")]\n", "\n", "# This cell has been added by nbpages. Run this cell to download data files required for this notebook.\n", "\n", "for filepath, fileurl in file_links:\n", " stem, filename = os.path.split(filepath)\n", " if stem:\n", " if not os.path.exists(stem):\n", " os.mkdir(stem)\n", " if not os.path.isfile(filepath):\n", " with open(filepath, 'wb') as f:\n", " response = requests.get(fileurl)\n", " f.write(response.content)\n" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 1, "link": "[2.11 Model Identification: Fitting models to data](https://jckantor.github.io/CBE32338/02.11-TCLab-Lab-2-Fitting.html#2.11-Model-Identification:-Fitting-models-to-data)", "section": "2.11 Model Identification: Fitting models to data" } }, "source": [ "# 2.11 Model Identification: Fitting models to data\n", "\n", "Given the data from an identification experiment, the next task is to find one or more models that accurately reproduce the process response to changes in the manipulated variable. This notebook demonsrates a practical approach to fitting low-order models to step response data." ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 2, "link": "[2.11.1 Initializations](https://jckantor.github.io/CBE32338/02.11-TCLab-Lab-2-Fitting.html#2.11.1-Initializations)", "section": "2.11.1 Initializations" } }, "source": [ "## 2.11.1 Initializations" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "nbpages": { "level": 2, "link": "[2.11.1 Initializations](https://jckantor.github.io/CBE32338/02.11-TCLab-Lab-2-Fitting.html#2.11.1-Initializations)", "section": "2.11.1 Initializations" } }, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "\n", "from scipy.integrate import odeint\n", "from scipy.optimize import minimize" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 3, "link": "[2.11.1.1 Reading data](https://jckantor.github.io/CBE32338/02.11-TCLab-Lab-2-Fitting.html#2.11.1.1-Reading-data)", "section": "2.11.1.1 Reading data" } }, "source": [ "### 2.11.1.1 Reading data\n", "\n", "The following cell reads previously stored experimental step response data." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "nbpages": { "level": 3, "link": "[2.11.1.1 Reading data](https://jckantor.github.io/CBE32338/02.11-TCLab-Lab-2-Fitting.html#2.11.1.1-Reading-data)", "section": "2.11.1.1 Reading data" } }, "outputs": [], "source": [ "df = pd.read_csv(\"tclab-data.csv\")\n", "t = np.array(df[\"Time\"])\n", "T1 = np.array(df[\"T1\"])\n", "T2 = np.array(df[\"T2\"])\n", "Q1 = np.array(df[\"Q1\"])\n", "Q2 = np.array(df[\"Q2\"])" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 3, "link": "[2.11.1.2 Plotting function](https://jckantor.github.io/CBE32338/02.11-TCLab-Lab-2-Fitting.html#2.11.1.2-Plotting-function)", "section": "2.11.1.2 Plotting function" } }, "source": [ "### 2.11.1.2 Plotting function\n", "\n", "The following simple data plotting function is used in this notebooke to compare experimental data to model predictions. " ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "nbpages": { "level": 3, "link": "[2.11.1.2 Plotting function](https://jckantor.github.io/CBE32338/02.11-TCLab-Lab-2-Fitting.html#2.11.1.2-Plotting-function)", "section": "2.11.1.2 Plotting function" } }, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def plot_data(t, T, T_pred, Q):\n", " \n", " fig = plt.figure(figsize=(8,5))\n", " grid = plt.GridSpec(4, 1)\n", " ax = [fig.add_subplot(grid[:2]), fig.add_subplot(grid[2]), fig.add_subplot(grid[3])]\n", "\n", " ax[0].plot(t, T, t, T_pred)\n", " ax[0].set_ylabel(\"deg C\")\n", " ax[0].legend([\"T\", \"T_pred\"])\n", " \n", " ax[1].plot(t, T_pred - T)\n", " ax[1].set_ylabel(\"deg C\")\n", " ax[1].legend([\"T_pred - \"])\n", " \n", " ax[2].plot(t, Q)\n", " ax[2].set_ylabel(\"%\")\n", " ax[2].legend([\"Q\"])\n", " \n", " for a in ax: a.grid(True)\n", " ax[-1].set_xlabel(\"time / seconds\")\n", " plt.tight_layout()\n", " \n", "plot_data(t, T1, T1, Q1)\n", "plot_data(t, T2, T2, Q2)" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 2, "link": "[2.11.2 Empirical Models](https://jckantor.github.io/CBE32338/02.11-TCLab-Lab-2-Fitting.html#2.11.2-Empirical-Models)", "section": "2.11.2 Empirical Models" } }, "source": [ "## 2.11.2 Empirical Models\n", "\n", "Empirical modeling is a process in which we attempt to discover models that accurately describe the input-output behavior of a process without regard to the underlying mechanisms." ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 3, "link": "[2.11.2.1 First-order linear model](https://jckantor.github.io/CBE32338/02.11-TCLab-Lab-2-Fitting.html#2.11.2.1-First-order-linear-model)", "section": "2.11.2.1 First-order linear model" } }, "source": [ "### 2.11.2.1 First-order linear model\n", "\n", "A first-order transfer function is modeled by the differential equation\n", "\n", "$$ \\tau \\frac{dy}{dt} + y = K u$$\n", "\n", "where $y$ is the 'deviation' of the process variable from a nominal steady state, and $u$ is the deviation in manipulated variable from a nominal steady state. For the temperature control lab we will assign the deviation variables as follows:\n", "\n", "\\begin{align*}\n", "y & = T_1 - T_{ambient} \\\\\n", "u & = Q_1\n", "\\end{align*}\n", "\n", "Parameter $K$ is the process gain which can be estimated as the ratio of the a steady-state change in $y$ due to a steady-state change in $u$. Parameter $\\tau$ is the first-order 'time constant' which can be estimated as the time to achieve 63.2% of the steady-state change in output to due a steady-state change in $u$.\n" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "nbpages": { "level": 3, "link": "[2.11.2.1 First-order linear model](https://jckantor.github.io/CBE32338/02.11-TCLab-Lab-2-Fitting.html#2.11.2.1-First-order-linear-model)", "section": "2.11.2.1 First-order linear model" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "K = 0.62 tau = 180.0\n" ] }, { "data": { "text/plain": [ "24.649520390255464" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def model_first_order(param, plot=False):\n", " # access parameter values\n", " K, tau = param\n", "\n", " # simulation in deviation variables\n", " u = lambda ti: np.interp(ti, t, Q1)\n", " def deriv(y, ti):\n", " dydt = (K*u(ti) - y)/tau\n", " return dydt\n", " y = odeint(deriv, 0, t)[:,0]\n", "\n", " # comparing to experimental data\n", " T_ambient = T1[0]\n", " T1_pred = y + T_ambient\n", " if plot:\n", " print(\"K =\", K, \"tau =\", tau)\n", " plot_data(t, T1, T1_pred, Q1)\n", " \n", " return np.linalg.norm(T1_pred - T1)\n", " \n", "param_first_order = [0.62, 180.0]\n", "model_first_order(param_first_order, plot=True)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "nbpages": { "level": 3, "link": "[2.11.2.1 First-order linear model](https://jckantor.github.io/CBE32338/02.11-TCLab-Lab-2-Fitting.html#2.11.2.1-First-order-linear-model)", "section": "2.11.2.1 First-order linear model" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "K = 0.6370841237049034 tau = 199.8617397701267\n" ] }, { "data": { "text/plain": [ "20.651093155278453" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "results = minimize(model_first_order, param_first_order, method='nelder-mead')\n", "param_first_order = results.x\n", "model_first_order(param_first_order, plot=True)" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 3, "link": "[2.11.2.2 First-order linear model with time delay](https://jckantor.github.io/CBE32338/02.11-TCLab-Lab-2-Fitting.html#2.11.2.2-First-order-linear-model-with-time-delay)", "section": "2.11.2.2 First-order linear model with time delay" } }, "source": [ "### 2.11.2.2 First-order linear model with time delay\n", "\n", "The code cell below " ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "nbpages": { "level": 3, "link": "[2.11.2.2 First-order linear model with time delay](https://jckantor.github.io/CBE32338/02.11-TCLab-Lab-2-Fitting.html#2.11.2.2-First-order-linear-model-with-time-delay)", "section": "2.11.2.2 First-order linear model with time delay" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "K = 0.62 tau = 160.0 tdelay = 15\n" ] }, { "data": { "text/plain": [ "16.12137889182889" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def model_first_order_time_delay(param, plot=False):\n", " # access parameter values\n", " K, tau, tdelay = param\n", " \n", " # simulation in deviation variables\n", " u = lambda ti: np.interp(ti, t, Q1, left=0)\n", " def deriv(y, ti):\n", " dydt = (K*u(ti-tdelay) - y)/tau\n", " return dydt\n", " y = odeint(deriv, 0, t)[:,0]\n", "\n", " # comparing to experimental data\n", " T_ambient = T1[0]\n", " T1_pred = y + T_ambient\n", " if plot:\n", " print(\"K =\", K, \"tau =\", tau, \"tdelay =\", tdelay)\n", " plot_data(t, T1, T1_pred, Q1)\n", " \n", " return np.linalg.norm(T1_pred - T1)\n", "\n", "param_first_order_time_delay = [0.62, 160.0, 15]\n", "model_first_order_time_delay(param_first_order_time_delay, plot=True)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "nbpages": { "level": 3, "link": "[2.11.2.2 First-order linear model with time delay](https://jckantor.github.io/CBE32338/02.11-TCLab-Lab-2-Fitting.html#2.11.2.2-First-order-linear-model-with-time-delay)", "section": "2.11.2.2 First-order linear model with time delay" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "K = 0.6228198545524255 tau = 167.7567962566444 tdelay = 20.18136187851927\n" ] }, { "data": { "text/plain": [ "6.290512704413097" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "results = minimize(model_first_order_time_delay, param_first_order_time_delay, method='nelder-mead')\n", "param_first_order_time_delay = results.x\n", "model_first_order_time_delay(param_first_order_time_delay, plot=True)" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 2, "link": "[2.11.3 First-principles modeling](https://jckantor.github.io/CBE32338/02.11-TCLab-Lab-2-Fitting.html#2.11.3-First-principles-modeling)", "section": "2.11.3 First-principles modeling" } }, "source": [ "## 2.11.3 First-principles modeling" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 3, "link": "[2.11.3.1 First-order energy balance for one heater](https://jckantor.github.io/CBE32338/02.11-TCLab-Lab-2-Fitting.html#2.11.3.1-First-order-energy-balance-for-one-heater)", "section": "2.11.3.1 First-order energy balance for one heater" } }, "source": [ "### 2.11.3.1 First-order energy balance for one heater\n", "\n", "Assuming the heater/sensor assembly can be described as mass at uniform temperature that exchanges heat with the surrounding results in a first-order linear model.\n", "\n", "$$C_p\\frac{dT_{1}}{dt} = U_a (T_{amb} - T_{1}) + P Q_1$$\n", "\n", "The model can be rearranged into the form of a first order system with time constant $\\tau$ and gain $K$\n", "\n", "$$\\underbrace{\\frac{C_p}{U_a}}_{\\tau}\\underbrace{\\frac{d(T_1 - T_{amb})}{dt}}_{\\frac{dy}{dt}} + \\underbrace{T_1 - T_{amb}}_y = \\underbrace{\\frac{P}{U_a}}_K \\underbrace{Q_1}_u$$" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 3, "link": "[2.11.3.1 First-order energy balance for one heater](https://jckantor.github.io/CBE32338/02.11-TCLab-Lab-2-Fitting.html#2.11.3.1-First-order-energy-balance-for-one-heater)", "section": "2.11.3.1 First-order energy balance for one heater" } }, "source": [ "Using the previous results gives estimates for $K$ and $\\tau$." ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 3, "link": "[2.11.3.1 First-order energy balance for one heater](https://jckantor.github.io/CBE32338/02.11-TCLab-Lab-2-Fitting.html#2.11.3.1-First-order-energy-balance-for-one-heater)", "section": "2.11.3.1 First-order energy balance for one heater" } }, "source": [ "\\begin{align*}\n", "K = \\frac{P}{U_a} & \\implies U_a = \\frac{P}{K} = \\frac{0.04}{0.62} = 0.065 \\text{ watts/deg C} \\\\\n", "\\tau = \\frac{C_p}{U_a} & \\implies C_p = \\tau U_a = \\frac{\\tau P}{K} = \\frac{186 \\times 0.04}{0.62} = 12 \\text{ J/deg C}\n", "\\end{align*}" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "nbpages": { "level": 3, "link": "[2.11.3.1 First-order energy balance for one heater](https://jckantor.github.io/CBE32338/02.11-TCLab-Lab-2-Fitting.html#2.11.3.1-First-order-energy-balance-for-one-heater)", "section": "2.11.3.1 First-order energy balance for one heater" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Heat transfer coefficient Ua = 0.06278605683560866 watts/degree C\n", "Heat capacity = 12.548530552470801 J/deg C\n" ] } ], "source": [ "P = 0.04\n", "\n", "K, tau = param_first_order\n", "\n", "Ua = P/K\n", "print(\"Heat transfer coefficient Ua =\", Ua, \"watts/degree C\")\n", "\n", "Cp = tau*P/K\n", "print(\"Heat capacity =\", Cp, \"J/deg C\")" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "nbpages": { "level": 3, "link": "[2.11.3.1 First-order energy balance for one heater](https://jckantor.github.io/CBE32338/02.11-TCLab-Lab-2-Fitting.html#2.11.3.1-First-order-energy-balance-for-one-heater)", "section": "2.11.3.1 First-order energy balance for one heater" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Cp = 12.548530552470801 Ua = 0.06278605683560866\n" ] }, { "data": { "text/plain": [ "20.651088966149587" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def model_heater(param, plot=False):\n", " # access parameter values\n", " T_ambient, Cp, Ua = param\n", " \n", " P1 = 0.04\n", "\n", " # simulation in deviation variables\n", " u = lambda ti: np.interp(ti, t, Q1)\n", " def deriv(TH1, ti):\n", " dT1 = (Ua*(T_ambient - TH1) + P1*u(ti))/Cp\n", " return dT1\n", " T1_pred = odeint(deriv, T_ambient, t)[:,0]\n", "\n", " # comparing to experimental data\n", " if plot:\n", " print(\"Cp =\", Cp, \"Ua =\", Ua)\n", " plot_data(t, T1, T1_pred, Q1)\n", " \n", " return np.linalg.norm(T1_pred - T1)\n", "\n", "param_heater = [T1[0], Cp, Ua]\n", "model_heater(param_heater, plot=True)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "nbpages": { "level": 3, "link": "[2.11.3.1 First-order energy balance for one heater](https://jckantor.github.io/CBE32338/02.11-TCLab-Lab-2-Fitting.html#2.11.3.1-First-order-energy-balance-for-one-heater)", "section": "2.11.3.1 First-order energy balance for one heater" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Cp = 10.313205580961114 Ua = 0.05862920031801483\n" ] }, { "data": { "text/plain": [ "10.630933447435487" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "results = minimize(model_heater, param_heater, method='nelder-mead')\n", "param_heater = results.x\n", "model_heater(param_heater, plot=True)" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 3, "link": "[2.11.3.2 Two State Model](https://jckantor.github.io/CBE32338/02.11-TCLab-Lab-2-Fitting.html#2.11.3.2-Two-State-Model)", "section": "2.11.3.2 Two State Model" } }, "source": [ "### 2.11.3.2 Two State Model\n", "\n", "\\begin{align*}\n", "C_p^H \\frac{dT_{H,1}}{dt} & = U_a(T_{amb} - T_{H,1}) + U_c(T_{S,1} - T_{H,1}) + P_1Q_1 \\\\\n", "C_p^S \\frac{dT_{S,1}}{dt} & = U_c(T_{H,1} - T_{S,1}) \n", "\\end{align*}" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "nbpages": { "level": 3, "link": "[2.11.3.2 Two State Model](https://jckantor.github.io/CBE32338/02.11-TCLab-Lab-2-Fitting.html#2.11.3.2-Two-State-Model)", "section": "2.11.3.2 Two State Model" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[23.81, 12.548530552470801, 2.50970611049416, 0.06278605683560866, 0.06278605683560866]\n" ] }, { "data": { "text/plain": [ "89.2722844989071" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def model_heater_sensor(param, plot=False):\n", " # access parameter values\n", " T_ambient, Cp_H, Cp_S, Ua, Uc = param\n", " \n", " P1 = 0.04\n", "\n", " # simulation in deviation variables\n", " u = lambda ti: np.interp(ti, t, Q1)\n", " def deriv(T, ti):\n", " T_H1, T_S1 = T\n", " dT_H1 = (Ua*(T_ambient - T_H1) + Uc*(T_S1 - T_H1) + P1*u(ti))/Cp_H\n", " dT_S1 = Uc*(T_H1 - T_S1)/Cp_S\n", " return [dT_H1, dT_S1]\n", " T1_pred = odeint(deriv, [T_ambient, T_ambient], t)[:,1]\n", "\n", " # comparing to experimental data\n", " \n", " if plot:\n", " print(param)\n", " plot_data(t, T1, T1_pred, Q1)\n", " \n", " return np.linalg.norm(T1_pred - T1)\n", "\n", "param_heater_sensor = [T1[0], Cp, Cp/5, Ua, Ua]\n", "model_heater_sensor(param_heater_sensor, plot=True)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "nbpages": { "level": 3, "link": "[2.11.3.2 Two State Model](https://jckantor.github.io/CBE32338/02.11-TCLab-Lab-2-Fitting.html#2.11.3.2-Two-State-Model)", "section": "2.11.3.2 Two State Model" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[23.71861419 6.88125133 2.74272516 0.06428723 0.07897125]\n" ] }, { "data": { "text/plain": [ "4.554156209522013" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "results = minimize(model_heater_sensor, param_heater_sensor, method='nelder-mead')\n", "param_heater_sensor = results.x\n", "model_heater_sensor(param_heater_sensor, plot=True)" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 2, "link": "[2.11.4 Two heater, four state model](https://jckantor.github.io/CBE32338/02.11-TCLab-Lab-2-Fitting.html#2.11.4-Two-heater,-four-state-model)", "section": "2.11.4 Two heater, four state model" } }, "source": [ "## 2.11.4 Two heater, four state model\n", "\n", "\\begin{align*}\n", "C_p^H \\frac{dT_{H,1}}{dt} & = U_a(T_{amb} - T_{H,1}) + U_b(T_{H,2} - T_{H,1}) + U_c(T_{S,1} - T_{H,1}) + P_1Q_1 \\\\\n", "C_p^S \\frac{dT_{S,1}}{dt} & = U_c(T_{H,1} - T_{S,1}) \\\\\n", "C_p^H \\frac{dT_{H,2}}{dt} & = U_a(T_{amb} - T_{H,2}) + U_b(T_{H,1} - T_{H,2}) + U_c(T_{S,2} - T_{H,2}) + P_2Q_2 \\\\\n", "C_p^S \\frac{dT_{S,2}}{dt} & = U_c(T_{H,2} - T_{S,2}) \n", "\\end{align*}" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "nbpages": { "level": 2, "link": "[2.11.4 Two heater, four state model](https://jckantor.github.io/CBE32338/02.11-TCLab-Lab-2-Fitting.html#2.11.4-Two-heater,-four-state-model)", "section": "2.11.4 Two heater, four state model" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[23.81, 12.548530552470801, 2.50970611049416, 0.06278605683560866, 0.06278605683560866, 0.06278605683560866]\n" ] }, { "data": { "text/plain": [ "143.87441921309681" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def model_complete(param, plot=False):\n", " # access parameter values\n", " T_ambient, Cp_H, Cp_S, Ua, Ub, Uc = param\n", " \n", " P1 = 0.04\n", "\n", " # simulation in deviation variables\n", " u = lambda ti: np.interp(ti, t, Q1)\n", " def deriv(T, ti):\n", " T_H1, T_S1, T_H2, T_S2 = T\n", " dT_H1 = (Ua*(T_ambient - T_H1) + Ub*(T_H2 - T_H1) + Uc*(T_S1 - T_H1) + P1*u(ti))/Cp_H\n", " dT_S1 = Uc*(T_H1 - T_S1)/Cp_S\n", " dT_H2 = (Ua*(T_ambient - T_H2) + Ub*(T_H1 - T_H2) + Uc*(T_S2 - T_H2))/Cp_H\n", " dT_S2 = Uc*(T_H2 - T_S2)/Cp_S\n", " return [dT_H1, dT_S1, dT_H2, dT_S2]\n", " T_pred = odeint(deriv, [T_ambient, T_ambient, T_ambient, T_ambient], t)\n", " T1_pred = T_pred[:,1]\n", " T2_pred = T_pred[:,3]\n", "\n", " # comparing to experimental data\n", " if plot:\n", " print(param)\n", " plot_data(t, T1, T1_pred, Q1)\n", " plot_data(t, T2, T2_pred, Q1)\n", " \n", " return (np.linalg.norm(T1_pred - T1) + np.linalg.norm(T2_pred - T2))/2\n", "\n", "param_complete = [T1[0], Cp, Cp/5, Ua, Ua, Ua]\n", "model_complete(param_complete, plot=True)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "nbpages": { "level": 2, "link": "[2.11.4 Two heater, four state model](https://jckantor.github.io/CBE32338/02.11-TCLab-Lab-2-Fitting.html#2.11.4-Two-heater,-four-state-model)", "section": "2.11.4 Two heater, four state model" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[23.60707391 6.92707544 1.61783224 0.04676309 0.02633501 0.04303801]\n" ] }, { "data": { "text/plain": [ "4.441799745669341" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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ITiNwrjHGISI24HMRWQi8Ctzo2+bfwLeApwP0rzfGjO+cULuOAQMGMH269+yHG2+8kb///e/NBc61114LgMPh4Msvv+Saa65p7tfY2AjAF198wRtvvAHATTfdxC9/+cvODF+p0FBTDPmrfLccKFwLzloARkksuyNHYpl6E/SfBGmTSInsRQre/9yUUp0jaAWOMcYAh2a32nw3Y4z54NA2IrIS6N9pQbVhpKW+pobY2I7/70sCfC/LIdHR3m+39Xg8JCQkNM/tOd4+lOppCivrcbo9FBysJzUhkqKqBrxvSQEYQ2T1bmJLVxNXtoq40hwiHHkAeCw2anuNxHHaVdQkjacmaRzfeLOUb0xKZ3zWqE7MSCnVWlDn4IiIFcgBhgBPGmNW+K2zATcBdx+le4SIrAZcwMPGmLc7Ot6uIC8vj+XLlzNt2jRee+01zjrrrCO2iYuLY/Dgwbz++utcc801GGPYsGED48aNY/r06cyfP58bb7yRV199NQgZKBVcbo/hzIcXH3V9GC5GyT4mW7Yx2bKDTMt2kqQagHITR7ZnOKs8M1jjGcYWM4jGOjsUHOpdAsDpeuVfpYJOjvpfS2cGIZIAvAX80Bizydf2HFBrjPnRUfqkGmMKReQ0YDEwyxiTG2C7O4A7AFJSUibNnz+/xfr4+HiGDBnS5hza48ylP/7xj8TExHDXXXcFXL9v3z6uvvpqpk+fzooVK8jIyGDu3LlERUUxevRoli5dSmJiIuCdkPzjH/+YkpISnE4nV111Fffccw979+7l9ttvx+Vycdlll/HnP/+ZoqKiIx5r165dVFVVtWhzOBzExMS0KceuTnMMDcfKsaTWwy8/q29etuFiZmQu3+6znX61W0ip3Y7NeA/pVtlTKI4eRXHUCIqiR1EVnnrMb78GsFrgtHgLlg4eKe3pf8dQ0hPy7MgcZ86cmWOMOeIIcJcocABE5AG8Bc1jvvsTgCuNMZ4T6PtP4D1jzIJjbZeZmWlWr17dom3r1q2MHDny1AP3qemEQ1R79+7l4osvZtOmTR36OBD495KdnU1WVlaHP3YwaY6h4Vg5Lt5cwBP/WsA0yxYujNnJkIZNREkjIN5TsweeCQOner9cMq5fp8Z9Mnr63zGU9IQ8OzJHEQlY4ATzLKpkwGmMqRSRSOA84BER+RZwAd4RmYDFjYj0AuqMMY0ikgRMBx7trNiVUsHnaHTxl0XbOX9UX9bnVxITHsbnO8sBKCtvYP7+HADEeEht2sPw+rUMr1/LlLr1vBPuvWJwhfU0/uPOoqjXZO77/rcgslfQ8lFKta9gzsHpB7zkm4djAf5rjHlPRFzAPmC5bzLsm8aY34lIJvBdY8y3gJHAsyLi8fV92BizJThptD//qxv7+/TTTztl9Eap7uClL/fy4hfeG0C03YotzEJKbAQRjnKGNn1JpiuHca4NJBjvHJoCSz+y7TNYbx3HgT6T+c31M/nq9fX86LxhEKnzZpQKJcE8i2oD3sNQrdsDxmSMWY33lHGMMV8CYzo0wCDyv7qxUiowR6Or+b4dJ+Ncm/jFoP2Mb1wDVZuhHohJgVEXweCzIX0GaQkDSAMu8tvPszfpydtKhSK9kjFgjNFTp/10lXlZSh2VMbhLd/JN68ecY1nPVMtWoqQRT4ENBk0j97RvknH+HZBy+nEnBSulQlOPL3AiIiKoqKggMTFRixy8xU1FRQURERHBDkX1QI9+uI1nl+0OuM6Gi8myjXMtOZxrWcN9Ugo22O3py3/d57DUM45f3XkHGWl92J+dTUbf0Z0cvVKqK+nxBU7//v3Jz8+nrKzs+BsfQ0NDQ8gUBREREfTv33nXV1TqkKU7yhiUGMWFo71nL0U4KxlcuZyMg58xuHI54e5anBJOXnwmH/e6hdoBWezz9CEuMowsEU5LTQ5yBkqprqLHFzg2m43Bgwe3eT/Z2dlMmHDElCKl1AnyeAy7y2r5wVjDnTEfwfaFsP8rMB7vXJpxV8GwOdhOyyLDHkVGsANWSnVpPb7AUUp1DmMM2dvLsFktON0eCqvqD62gd9Vm+hYs4j35iIzNRbAZSBkDM34Kw+ZA6gSwWIIav1Kqe9ECRynVKRbk5PPzBRsAEDxMkh3Msa7iAusq+ks5TmPlK0YROf1OUidfDgkDghyxUqo70wJHKdUp9pVXMc2ymTmWlcy2rqKPVGKs4TQNOofqoRfTeNr5jI1LIj7SFuxQlVIhQAscpVTH8bhh72ew6Q2+u/4dYuxV1Bs7SzzjOX3WjQyaegXhEXGEBztOpVTI0QJHKXXKGl1u7n5tHbvLHQi+yywYwwj3drKcyzjb+TmJ5iB1RLLUTORd52SWesbRQDgbp54PETpao5TqGFrgKKVO2aaCKj7cXAzAhX0OcInlSzJrl5DsKsIpNjZFTeGNmHPZGDUVpyWC3tE2vm610C8+klgtbpRSHUgLHKXUKSvL28Gd1re51Polw6vzQSxwWhaM/jW2kRczISL+yO9jUUqpTqAFjlLqqKobnGwtrG7RZnE66L1vIcm5bzK7ZAWzbbDaM4yKsx8i8YxrIUYvtqeUCj4tcJRSR3X/W5v43/pCBA/TLFu4yrqMOZZVREkjezwpzHVfw9ues8g3yew6Zw5Y9Vo1SqmuQQscpdRRVedv4y9J2VxslhFeW4jLFkP5oMvJzbiKmqSJnCnCNb0isVkthGlxo5TqQrTAUUq11FQLm97ErHmZl2pX4sGCJWMmjP89YSMuoq8tkr7BjlEppY5DCxylepAN+ZVsLHNxek0jL3yxB6fL07wupW47E8reZUzFh4R76igLH8Q85/WcPufbXHrWpCBGrZRSJ08LHKV6kEv/8QUAkX0LeDo7lyR7ExfxJdfIJ4yW3TQYGx8ylQXmPNbUDycy0sa1w4cHOWqllDp5WuAo1eMYDuxaweORC7jS9hU0OaDPKJj0KBFjv85lkb24LNghKqVUG2mBo1QPUVNTzdetS7jZ+jGj9+2lkXAYdQ1M+ib0nwwiwQ5RKaXazSkXOCIyBEgxxnzRqn0GUGiMyT2BfUQAy4BwXywLjDEPiMhgYD7QG1gD3GSMaQrQ/17gdsAN3GWM+ehU81EqFNQ2ujj/r8soczQ2t/WnlOstH3O1LOFRm4NtngH8ynkrYeOv5cHLpwUxWqWU6jhtGcH5G3BfgPZ637pLTmAfjcC5xhiHiNiAz0VkIfAT4K/GmPki8gzeIuZp/44iMgq4DjgdSAU+EZFhxhj3KWekVDe3rbiGgsp6Lh3blzMtm5hU/DpDKj/HYGFH73NYnHYtyyt70SdtEFdP6h/scJVSqsO0pcBJN8ZsaN1ojFktIuknsgNjjAEcvkWb72aAc4EbfO0vAQ/SqsABLgPmG2MagT0isgs4A1h+UlkoFUL2FRTzTetH/Kr0c2yVuRCdDGf/DJl0KyPi0xgBJGZnk5U1ItihKqVUh2pLgRNxjHWRJ7oTEbECOcAQ4EkgF6g0xrh8m+QDaQG6pgFf+S0fbTulQsb+A3V8mVt+RHt07X6G73mFC/Pe5kpbPSY6E2bOhdMvh7DwIESqlFLBJd5BlFPoKPIasNgY81yr9tuB840x157k/hKAt4DfAC8aY4b42gcAHxhjxrTa/klguTHmX77leb7t3mi13R3AHQApKSmT5s+ffzJhnTCHw0FMTEyH7Lur0ByD74k1DawtPXQU1jBJdvDtsA8437IaFxb+5zmTxZGzuebM0UfdR1fPsT1ojqGhJ+QIPSPPjsxx5syZOcaYzNbtbRnB+RHwloh8A+8IDEAmYAeuONmdGWMqRSQbmAokiEiYbxSnP1AYoEs+MMBvOeB2xpi5wFyAzMxMk5WVdbKhnZDs7Gw6at9dheYYfL9ZuYTzR0Tx8Kg9xKx5FnvxGjzhCdSOvYva8bcxLTqFi2PshIdZj7qPrp5je9AcQ0NPyBF6Rp7ByPGUCxxjTAlwpojMBA79u/i+MWbxie5DRJIBp6+4iQTOAx4BlgBX4z2T6pvAOwG6vwv8W0QexzvJeCiw8lTzUaqra3BU8rXqBdzl/pT4vUXQ+zS48DEs428g1h5NbLADVEqpLqTN18ExxizBW5Ccin7AS755OBbgv8aY90RkCzBfRP4ArAXmAYjIpUCmMeY3xpjNIvJfYAvgAu7UM6hUqPjZ6+vZUlgNQKKnnMsa3mVO44f8OqyOiphJcPljMHwOWI4+UqOUUj1ZUC/05zsLa0KA9t14z4hq3f4u3pGbQ8sPAQ91ZIxKdbbqBicLcvKZlVzNLeYdpjk+RvCQE302yxKv5fZrr4Zoe7DDVEqpLk2vZKxUF1O49Sv+YXuCi2pWImHhMPlWOPOHnNFr0JFVv1JKqYC0wFEqiByNLrYXV4MxxJSspO+GpxlRsJRUSySVE++k17l3Q0yfYIeplFLdTpsLHBGpwXtxPn9VwGrgp77DTUqpAH715gaqN77P98PeZbhlB+Umjkdd1/KGdTZfXHQ5WC3BDlEppbql9hjBeRzv6dn/BgTv1yf0BbYDLwBZ7fAYSoUWjwe2vssPdz5Ahn0vDVGp7Br5G4ozrmFqWCRXJkQSpsWNUkqdsvYocGYbY6b4Lc8Vka+MMb8TkUDfVaVUz+XxwNZ3YOmjULoFMam8l/FrLv7G3Qyx2hgS7PiUUipEtEeB4xGRrwMLfMtX+607tcskKxUi1u+v5INNRWA8jDiwmLMKXiC5fjflEYNYPOhB7tk+hIdHjgerLdihKqVUSGmPAucbwBPAU3gLmq+AG30X7vtBO+xfqW7rr4u2EbP7fe4Ke5Nhks8uk8afPD9koWMaHoeF+Cgrk9J7BTtMpZQKOe1xob/dwCVHWf15W/evVLfkccOWt3kg/wEG2/ZD0nA4Zx5DTr+Cxy1WHg92fEopFeLaPItRRIaJyKcissm3PFZEftX20JTqhjwe2PwWPH0mLLgNl9vDhyP+CN9fDmOu1isPK6VUJ2mP0zSeA+4FnNB8deLr2mG/SnUfxvDk3KfZ9OAEeP0Wcktr+LHnLi5oegRGX6mFjVJKdbL2mIMTZYxZKSL+ba522K9S3cO+LzGf/o47C5eTRzIP2e9Gxl5Dklj5gT2Mc4bphfqUUqqztUeBUy4iGfjOmBKRq4GidtivUl1b4TpY/HvY9Qme6BQecN7Kf9wzuW5iBr+/eHSwo1NKqR6tPQqcO4G5wAgRKQD2ADe2w36V6nIKKuvZtG4Vp2//P/oXLaLRFs/2kT9lSdxl/GtpPgCRdj0cpZRSwdZeZ1GdJyLRgMUYU9P2sJTqgirz2Dvv55xX/RH1hPOE+0qeb7iQmrVRQH7zZjOH6yEppZQKtlMucETkJ0dpB8AYo2fCqtBQdwCW/RlWPc9kt+GT+KsY/fUHuDIqiSv9NouNCCPCZiXCpiM4SikVbG0ZwYn1/RwOTAbe9S1fAixrS1BKdQnOeljxDHz2V2iqwTX2BmaunMJVo6dwQf+BwY5OKaXUMZxygWOM+S2AiCwCJh46NCUiDwKvt0t0SgXBsm3FrHn/Wb5R+zLJnnJW2s7gpfhbyN03gAJTQ0afmGCHqJRS6jjaY5LxQKDJb7kJSG+H/SrVuYyh14E1JC//CWc35rLHPox5ve5he8Q4APoBGckxnDUkKbhxKqWUOq72KHBeAVaKyFt4TxW/AnipHfarVOcpWg8f/4Zxu7Mpsfblbwn38qO7fsE9lva4FqZSSqnO1h5nUT0kIguBGb6mW40xa4/XT0QGAC8DfQEPMNcY84SI/AfvvB6ABKDSGDM+QP+9QA3gBlzGmMy25qJ6nuri3diXPkTE1gV4InqzadBt3J53HucNHAha3CilVLfVHiM4GGPWAGtOspsL+KkxZo2IxAI5IvKxMebaQxuIyF+AqmPsY6YxpvzkI1Y9Xn0lBz/8I1Hr5mEQnnJfyjOVl1BdGQ3AUJ1no5RS3Vq7FDinwhhThO+Kx8aYGhHZCqQBWwDEe77514FzgxWjCkFuF+S8CEv+SEL9QRa4Z1A3/ZfE9x7AL4Ed23dw+sgRXDi2X7AjVUop1QZBK3D8iUg6MAFY4dc8Aygxxuw8SjcDLBIRAzxrjJnboUGq7m/nJ/DRfVC+HdJn8EL0t3lknZ0t559JmNV7OCq7fg9ZkwcEOVCllFJtJcaY4LmkhjUAACAASURBVAYgEgMsBR4yxrzp1/40sMsY85ej9Es1xhSKSB/gY+CHxpgjrr8jIncAdwCkpKRMmj9/fkekgcPhICYmtA9rdMcc91a5yc/fyxXVL3N64zpKrX15K+5mNkZksqbUjUXgD2dFNW/fHXM8WZpjaNAcQ0dPyLMjc5w5c2ZOoHm4QS1wRMQGvAd85H/lYxEJAwqAScaY/KP199v+QcBhjHnsWNtlZmaa1atXty3oo8jOziYrK6tD9t1VdLscayv45OkfkVXzHnVE8A/3lbziuQCn38Dl7WcN5t4LRzYvd7scT4HmGBo0x9DRE/LsyBxFJGCBE7RDVL45NvOArQG+1uE8YNvRihv/773y3T8f+F2HBqy6D1cTrJwLSx8lq7GG5b0uZca3H+e+6ETuC3ZsSimlOkUwz4OdDtwEnCsi63y3C33rrgNe899YRFJF5APfYgrwuYisB1YC7xtjPuyswFUXZQxsex+emgKL7sedlsnsxodZO+ZXEJ0Y7OiUUkp1omCeRfU5IEdZd0uAtkLgQt/93cC4joxPdR/vrCvgX2+/z8/4J1PYTC5pPMa9fJY7AYdxMURP+VZKqR6nS5xFpdQpqymhz5Kf8x8+oMEaywepPyEn+XL6ShjXAFF2K1nDk4MdpVJKqU6mBY7qnpwN8NWT8NnjTG6q56OYK5hz5+NcGNmLC4/fWymlVIjTAkd1G7tKa9iYX0lq4SJGb/kL0XUFFPWdyW2FlzJ1+BTmRPYKdohKKaW6CC1wVLfxt5df56bqZ5li2cZWzwB+77qPL/eOBuA7/ROCHJ1SSqmuRAsc1fXVlOD59Hf8veZV6m3xlM94hMhRN/BHixWAMKuQlhAZ5CCVUkp1JVrgqK7L2QArnoZlf0FcDTznvpCUOb/isqmjSAp2bEoppbo0LXBUl1FV5+QXb6zngKORzPov+KZjHn09xay0T+GpyFvJrovj7bTUYIeplFKqG9ACR3UZ81flsX/LCn4d9i+mWbeQHzaIRxL/xKaISQBcPsDOqH5xQY5SKaVUd6AFjuoaHGWcueV3fNv+DpVEUzj9D/Q/93v80qpPUaWUUidPPz1U0FTVOXE6G4hc8xyRyx9nVFMdL7pn84TrClacczVYrcEOUSmlVDelBY4KiiXbSvj3y89wX9irJFlKWOwez0Oub5Br0gCItGtxo5RS6tRpgaM6X8lmTlt4N8/ZV1EZfRqfDn+KwuTp3AIMTIwmKcYe7AiVUkp1c1rgqM5TWw5LHoKcf5Ik0fyf/dv88Cd/YpbVFuzIlFJKhRgtcFSHcbo9vPjFHhrqaplQNJ8z8v+Jzd3A+n7X8POyOaSnDQAtbpRSSnUALXBUh1m+q4wtHz7Pz23/IU0q+Ng9iYdd15G7Jw0RuGmoXq5PKaVUx9ACR3WMPZ8x8r1f8Df7Flwp42D2S3xt8Ay+Fuy4lFJK9QiWYAegQkzZDnjtenjpYmwN5dwndxH2nWwYPCPYkSmllOpBdARHtUmD083lT35BU1UJ3zGvcxUf00A4L8gNzK27gJED+oBF62illFKdSwsc1Sa5+4u5oOyffNe+EDuNrE66nCV9b6PO1osrgdmj+wY7RKWUUj1Q0AocERkAvAz0BTzAXGPMEyLyIPBtoMy36X3GmA8C9J8NPAFYgeeNMQ93SuDKy9kAq+cxZMmfOd12kJrBFxJ54e+YkjSUKcGOTSmlVI8XzBEcF/BTY8waEYkFckTkY9+6vxpjHjtaRxGxAk8CXwPygVUi8q4xZkuHR91D7SipYXelm5q1eQzIe5th254iqr6I3VGTuLf2Cv57w50QpoeilFJKdQ1BK3CMMUVAke9+jYhsBdJOsPsZwC5jzG4AEZkPXAZogdMBPB7D+X9dyhzLSn625k4yLEWs82TwiOt+ljeczpi0eOxa3CillOpCusQcHBFJByYAK4DpwA9E5GZgNd5RnoOtuqQB+/2W80GPjHQIYzi49h3+Z3+AMZa9lISnUzRzHjGDL+D3IgD0jY8IcpBKKaVUS2KMCW4AIjHAUuAhY8ybIpIClAMG+D3QzxhzW6s+1wAXGGO+5Vu+CTjDGPPDAPu/A7gDICUlZdL8+fM7JA+Hw0FMTEyH7DsojIek8hWk7/0PMbV72Ofpw99dVxI/YiZnDwzdgibk/o4BaI6hQXMMHT0hz47McebMmTnGmMzW7UEdwRERG/AG8Kox5k0AY0yJ3/rngPcCdM0HBvgt9wcKAz2GMWYuMBcgMzPTZGVltUvsrWVnZ9NR++4Mc5flsqmgGjEexjmWcUH5y6Q17abU1p/nY3/K/5WNx42VF6dMJGt4n2CH22G6+9/xRGiOoUFzDB09Ic9g5BjMs6gEmAdsNcY87tfezzc/B+AKYFOA7quAoSIyGCgArgNu6OCQQ1aTy8NfPtzMVeGruUPeJN2znzxJ46HwH7M4bAYeYyWttyHO0siUwb2DHa5SSil1XMEcwZkO3ARsFJF1vrb7gOtFZDzeQ1R7ge8AiEgq3tPBLzTGuETkB8BHeE8Tf8EYs7mzEwgJjTVULn2eT23/oL8ph6QRcPY8Bp5+BfdbrNzvt2l2djZR9i4xbUsppZQ6pmCeRfU5IAFWHXHNG9/2hcCFfssfHG1bdaQml4e6JlfzstQUE77mOezrXqJPYxUrzAjcFzzCoKlX6pWHlVJKdXv673iIq6p3Mu63i3xLhgmyixvDPuYSy3KseFjomcxzrovZwBA2ZV6gxY1SSqmQoAVOiNtVWkMkDVxqXc6dMdkMbNxJkzWa3NSr2TzwRmqiBnAZcFdilB5+UkopFTL0Ey1UGQOFa4hb/Bwrwt8hTupwRAyH8x7HPvbrjAyPZWSwY1RKKaU6iBY43diavINEhFlJiLLx5pp8PAZiGksYXrqQkSXv07t+D4OwsdAzmVdc5/HXm79LTGJ0sMNWSimlOpwWON3YlU99CcCPz4imPOct5lhWMtWyFYsYVnmG8aj7W3zgnkI10UTZraT1igpyxEoppVTn0AKnOzIGZ/Fm7rD+j9nWVUzcsAtsYJKGY0b9HPfY65nYezATgYcAi4BIoBPWlFJKqdCkBU53UV0Ie5ZB7hLYnY3NUcx9NtjgGczfPNdRe9oc7r/l8oDn3SullFI9jRY4QbIhv5JfLNjAf74zjfhIGxvyK7nlxVUIEEMdQ9nHaLOTMWYHp5ud9KUCgIPEsVLG8CVXsKhhFEUkAvDj/sOCmI1SSinVtWiBEwxuF8/+7zMiS3LZt2wPY+NqKfz8K55oymWopYC+cvjL0yvsqeRHTWB11Cj2RI+nOHIIRrzXqrnIZsUATreHKyemBSkZpZRSquvRAqetGmvgvZ8wsqQISl8EjwuMBzxu3303uBqhoQoaqr0/m2p4EiAcWO7dTZZEsE1S+cIzmkvOm4m932hIm0RidBKJwLjgZaiUUkp1O1rgtJHL5cK99ysimpzUNxWBWL0jLGLFiBVjsWKs4bgj+uOOj8Nti8Vtj+X17S7WVkUzYthw5pw5iV+8v59tJQ4ArjrnoiBnpZRSSnVvWuC0kUOiGV/2sHeh6uT7L9kGT2/b2rxss+o0YaWUUqqttMBpoyh7GC/eOpmNGzYwZuzYE+4nQFpCJPmV9c3LA3tHkRBl75hAlVJKqR5EC5w2sodZmDm8D1IURtbwPifdf2hKbAdEpZRSSvVs+tXRSimllAo5WuAopZRSKuRogaOUUkqpkKMFjlJKKaVCjhhjgh1DpxGRMmBfB+0+CSjvoH13FZpjaNAcQ4PmGDp6Qp4dmeMgY0xy68YeVeB0JBFZbYzJDHYcHUlzDA2aY2jQHENHT8gzGDnqISqllFJKhRwtcJRSSikVcrTAaT9zgx1AJ9AcQ4PmGBo0x9DRE/Ls9Bx1Do5SSimlQo6O4CillFIq5GiB00YiMltEtovILhG5J9jxnCoReUFESkVkk19bbxH5WER2+n728rWLiPzdl/MGEZkYvMhPnIgMEJElIrJVRDaLyN2+9pDJU0QiRGSliKz35fhbX/tgEVnhy/E/ImL3tYf7lnf51qcHM/6TISJWEVkrIu/5lkMxx70islFE1onIal9byDxfAUQkQUQWiMg232tzWijlKCLDfX+/Q7dqEflRKOUIICI/9r3nbBKR13zvRUF9TWqB0wYiYgWeBOYAo4DrRWRUcKM6Zf8EZrdquwf41BgzFPjUtwzefIf6bncAT3dSjG3lAn5qjBkJTAXu9P29QinPRuBcY8w4YDwwW0SmAo8Af/XleBC43bf97cBBY8wQ4K++7bqLu4GtfsuhmCPATGPMeL9TbEPp+QrwBPChMWYEMA7v3zRkcjTGbPf9/cYDk4A64C1CKEcRSQPuAjKNMaMBK3AdwX5NGmP0doo3YBrwkd/yvcC9wY6rDfmkA5v8lrcD/Xz3+wHbffefBa4PtF13ugHvAF8L1TyBKGANMAXvBbbCfO3Nz1vgI2Ca736YbzsJduwnkFt/vB8K5wLvARJqOfri3QsktWoLmecrEAfsaf33CKUcW+V1PvBFqOUIpAH7gd6+19h7wAXBfk3qCE7bHPqjHpLvawsVKcaYIgDfzz6+9m6ft29IdAKwghDL03foZh1QCnwM5AKVxhiXbxP/PJpz9K2vAhI7N+JT8jfgF4DHt5xI6OUIYIBFIpIjInf42kLp+XoaUAa86Dvc+LyIRBNaOfq7DnjNdz9kcjTGFACPAXlAEd7XWA5Bfk1qgdM2EqCtJ5yW1q3zFpEY4A3gR8aY6mNtGqCty+dpjHEb73B4f+AMYGSgzXw/u12OInIxUGqMyfFvDrBpt83Rz3RjzES8hy3uFJGzj7Ftd8wzDJgIPG2MmQDUcvhQTSDdMUcAfPNPLgVeP96mAdq6dI6++UOXAYOBVCAa73O2tU59TWqB0zb5wAC/5f5AYZBi6QglItIPwPez1NfebfMWERve4uZVY8ybvuaQyxPAGFMJZOOdb5QgImG+Vf55NOfoWx8PHOjcSE/adOBSEdkLzMd7mOpvhFaOABhjCn0/S/HO2ziD0Hq+5gP5xpgVvuUFeAueUMrxkDnAGmNMiW85lHI8D9hjjCkzxjiBN4EzCfJrUguctlkFDPXNFLfjHX58N8gxtad3gW/67n8T75yVQ+03+2b7TwWqDg21dmUiIsA8YKsx5nG/VSGTp4gki0iC734k3jeercAS4GrfZq1zPJT71cBi4zsw3lUZY+41xvQ3xqTjfc0tNsZ8gxDKEUBEokUk9tB9vPM3NhFCz1djTDGwX0SG+5pmAVsIoRz9XM/hw1MQWjnmAVNFJMr3Pnvo7xjc12SwJyd19xtwIbAD7zyH+4MdTxvyeA3vsVMn3ur6drzHRD8Fdvp+9vZtK3jPHssFNuKdOR/0HE4gx7PwDoNuANb5bheGUp7AWGCtL8dNwG987acBK4FdeIfIw33tEb7lXb71pwU7h5PMNwt4LxRz9OWz3nfbfOj9JZSer764xwOrfc/Zt4FeIZhjFFABxPu1hVqOvwW2+d53XgHCg/2a1CsZK6WUUirk6CEqpZRSSoUcLXCUUkopFXK0wFFKKaVUyNECRymllFIhRwscpZRSSoUcLXCUUkopFXK0wFFKKaVUyNECRymllFIhRwscpZRSSoUcLXCUUkopFXK0wFFKKaVUyNECRymllFIhRwscpZRSSoWcsGAH0JmSkpJMenp6h+y7traW6OjoDtl3V6E5hgbNMTRojqGjJ+TZkTnm5OSUG2OSW7f3qAInPT2d1atXd8i+s7OzycrK6pB9dxWaY2jQHEOD5hgcjkYXB2ubGNA7qt322RXzbG8dmaOI7AvUroeolFJKqePYV1FLuaORa59dzoxHlwQ7HHUCetQIjlJKKXUqzvlzNmEWweUxwQ6l3VXVO1m15wDnjUoJdijtSgscpZRSyk99k5stRVVMGtS7Rbt/cWOMQUQ6O7Q2c7o9GAPvbyzk3yvy2FpUgwA1jS6+uncWfeMjgh1iu9ECRymllAIanG7ue2sjb64pAODLe84lNSEy4LZNbg/hYdbODO+U7T9Qx9IdZSzbUcby3Ar6xkfQ6PJQVe/E0ehq3q7B6Q5ilO0vqAWOiMwGngCswPPGmIdbrf8J8C3ABZQBtxlj9vnWuYGNvk3zjDGXdlrgSgVQWt3AzS+sZN4tk0k7ypuiUqprMcY7KvO9f63hw83FLdbV+n34t9bo6toFzvr9lby5Jp9lO8vZU14LQFpCJEmx4RRU1hMTHkbmoF58uq20uU+oHXwLWoEjIlbgSeBrQD6wSkTeNcZs8dtsLZBpjKkTke8BjwLX+tbVG2PGd2rQKqT8/dOdpMSFc+3kge2yv9dz8tlWXMPLy/dy75yR7bJPpVTHqWtyMesvS+kVZWdLUfVJ9W10eqALHc0pqW5g4cYi1udX8dZa7whUeJiFMzMSuXnaIGYMTSYjOZrHFm3nmaW7sYd5iI1oWQK43J5ghN5hgjmCcwawyxizG0BE5gOXAc0FjjHGf6r6V8CNnRqhClnVDU7+sXgX0zIS263AsRw6Hh9q/wYpFWKW7ijjO6+sZmifWIqqGiiqagi43aE5N4dGefw1BbkYcHsMa/MO8snWUpbvrmD9/sojtrlsfCqPXj2uRVt4mBW3x1DX5CYu0tZiXaNLC5z2kgbs91vOB6YcY/vbgYV+yxEishrv4auHjTFvt3+IKlR9urWEJreHRlfLY87GGN5ZV8A5w5JJiLK3WNfgdPPvFXl8Y+rAI4am8w/W8ciH27z76NjQlVKnwO0xCCAC33xhJQAbC6qO2afJ94Ef6IO/MQjzVRqcbrYUVfP+hiLeWlvAgdqmFmd2nTUkic93lTdvH+gQmj3Me3WYJpeHmPCWJUDr98PuLpgFTqDp5wE/G0TkRiATOMeveaAxplBETgMWi8hGY0xugL53AHcApKSkkJ2d3ebAA3E4HG3e986DbmwWSI/vesd1Pcawr7wWOuj31xEaXYaFe53MSbcRHtby6fbyGu9/bGUVlS3+bpuLa3nso3XcPMrOuQNb/nezLN/JC5uaqCvezeikln+jV7Y0Nt/Py8sjO7uknbNpP+3xXO3qNMej21vlpn+shTBL1z8DqD3/jrd8WMuQBAu/POPEjyt9tSqHg7lW6pxHfjR98dVK8mLb51Jyx8qz3mVYX+pmdYmLDeVumnw1yGnxFq4dF86YJCs/zq6j0Q1Ox8EWfUuLCsjOLm/Rtn+vs/l+UX4eYQIuX3orV6+lZk/HfP4E4zUZzAInHxjgt9wfKGy9kYicB9wPnGOMaf4UMcYU+n7uFpFsYAJwRIFjjJkLzAXIzMw0HXUlxbZcpdHl9vDKV/t4aIX36Nzehy9qx8jax/99upO/5Ozg059mkpEcE+xwTshrK/N4e9dGLp8xnqzhfZrbaxqcbP7kEwDsUTFkZc043OeZjwAXA9IzyDr7tBb7mzdvBVDOsJGnk3V63+Z2p9vDTz/7tHk5rf8AsrJGdUxS7UCvmtpx6ppc/GPxLm6cOuioZ9+0l5PNsdHl5uUv9/HQ8q18e8Zg7r+o6z5HD2nXv+OH77Or0sOUM8+CRYtOqMvpY8Zx1tAkymoa4dNPWqwbO34i4wYktEtorfOsrGti0eYSFm4q4otdFTS5PSTHhjNnTArvrPN+TH79zGF895wMAO5fvojGOicZg9JYUZzXvJ+MwYPIyhrR4rEKV+TBNu/5OSOGZvDJ/l3U+CZTjxg9psV7ZXsKxmsymFcyXgUMFZHBImIHrgPe9d9ARCYAzwKXGmNK/dp7iUi4734SMB2/uTvdya7SGq5+Zjm//d+phW+M4a21+VQ4Go+/cRss310BQGFlfZv35fEYLnvyC15dceTVtW947isy7vvgiPaCynr++MFW3K0ustXgdPOtl1azMf/IoeaFm7xnRLQeXl68rZQml4e0hMgWQ7Iej2FVsdvXp+VQbbmjkS98Q7+t9/fFrnIqapualwMcrg+opsHJnxZuPeaZGqr7cHsMNz6/gqeyc/mo1dk4XcE1zyznoQ+2ArB+/7EPzXR3b68tIK+iLuC6ppOYZ3LofSDQfJv2nq9S0+DkzTX53PbPVUx+6BN+8cYGdpU5uGV6Om9870xW3DuL31x8uCi1Ww9/fB867BTb6pDTofajtdnDLC2WG506B6ddGGNcIvID4CO8p4m/YIzZLCK/A1YbY94F/gzEAK/7Lqh06HTwkcCzIuLBW6Q93Orsq27hrbX5/PKNjUTbT31I8D+r9nPPmxu5c2YGP79gxPE7nAJjjN9kuxPvt3rvAaLsYYxKjWvRvibvIOv3VzI2Lf6IPl/mVgTc14uf7+H5z/dw/RkDGZx0+AvbsreX8snWEs7MSGRM/8P7q6pz8qWvIGl9bYf3NxSREhfOlNN6s2L3geb2tfsPcqDBm2DrN6+FG4s4VFu1XnfoP6pDzAnOwvn125t4e10ho1PjuWRc6gn1CQUVjkb2VtQecRG17u6RD7exJu/IiZ7Btre8lj0VtWwI8E9AKDLG8KP/rCMhysa635x/xPqTKUwObRtovk17zFepa3KxeFspL65tYOMnnzT/43Xb9MFcPDaV0WlxLS4mGG6z+t0/XJjYfMVOhK3lZ0mgOTjhfgVNeJi1xXKwJ063t6MWOCIyBEgxxnzRqn0GUBhovsvJMsZ8AHzQqu03fvfPO0q/L4ExbX38YKhucDJ/ZR7zV+1nd1ktQ/vE8O9vT+Wqp78k70Dg/ziOpr7JzcO+ia2Rto6bt/Psst2s3OMtBDytKpx1+ys5UNvIuSNaXuLb5fbwnVdyGD8ggXm3TG6x7oON3v9uT/SiUsaY5utTtH5TOdoozcdbS5qLMv91jkYX2TvKuOGMgThbTTJ+b0MRYRYQkSP297/1RSTF2Cl3NLXoU9/k5qPNxWQkR5NbVuuLl+b8/vXVPm6cOuiINx5jDG/7CqPW60LdNc8uZ3dZbZc8FHuq/rtqP3OX7ebqSf1ZkJPfZc5GqWtykfVY9hHtJ1qEd0dOtze3yjpnwPXtNYJzMvvx53R7WLajjLfWFvDp1lLqnW4SwoUbzhjEJeNSmTAgActR5kf5FyP+IziHaiD/ogcCj+CEtxrB8S+agjFxuiMdawTnb8B9Adrrfesu6ZCIQtDB2iaW767gw03FfLq1hNqmw0+iIX1iSI4Nb/GkO1FbiqqaX8SHXtSBvPjFHv74wVZ2/GFOwEuLV9Y1sbWohmkZiUes83gMryw/fCip9aPc9+ZG6p3uIwqcFXsOUFHbRF1TyxeMx2NYuKkIOLIoWbajLGD8mwuryT/oPTTmP4Ta6HKzeGtp831/H24qIiY8DEejq8XjHDo8deGYfny4qZgG3/48HsMHG4sYm2Qlt8bS4oVeVFXPyr0H+NZZg3n+8z3NfcBbSNU1ufl65gD+tHBbixjeWJPPH97fyoi+cZw1NKnFuk0Fh6+50ZXPXKhvchPZhhHG1oqq6tntKwTdHoO1G0x0PZ6vdldw/9sbmTE0iYeuGO0tcE5yqL/J5SG3zMHIfnHH3/gELd5Wcsofwt3Fyj0HqG1yMdNv3kigYsT/NO+Teb01n0UV4O95MkWsMYbNhdW8sSafd9cVUlHbRO9oO1dOTOPisanU523g3JmnH3c//hPDwwP8Y+Rf9AABP1fsLUZwLC369JgRHCDdGLOhdaMxZrWIpHdYRN1Mg9PN6zn5bN3rZMeyXJxuQ6PTTZmjiZLqBnaU1DR/OPeOtnPx2FRunDqI77yymsKqhuYnW6BK+1h2lzn4+YLDf55jPTEPze9xug32sCM/UH73vy38b0Mh238/54j/HFbsOUCB37wb/zeKnSU1bCmqpm/ckWclvLfBOzrR0OrNZF1+ZfM1J/xHcFxuD3fPXxsw/g83HZ7P4P+m8uWuiubJcf5Fh6PRxbKd5Vw6LtX3YXP4cRZuLCI5NpxJg3qRvb20+c0uJ+8gJdWNXJEeTn59y8d5f4O3ILs6sz/Pf76nxRvku+sK6BsXwYyhyc0FzqF5Qm/5LvdeH+C/ogU5h6+Q0FWPey/PreDGeSt4/66zGNH36B+8+ypqWbe/ksvGpx13n9P+tLj5fpPL067FUzDsq6jle//KYUDvKP5xw0TCw6yEWeSkPkQb/5+9M4+Pqjob//eZTDIhJCQkhLAESJCw7yCLuERQQXGvu7autSq22tfa6s9uWn1r+7a12rpX61L3rW6IG8QNZAlrWBMghCSEhEDIvszM+f1x70xmTSYbSYbz/XzmM3PPPffc89y5y3Of5znPsTs47c9ZlFTWs+E3Z9K/b1TrG7WAUoq/f5HLo1/mkjEw8ICAtriaeyI5RUcZlhjDZU+vArwHZgSyQnjOIdU2C45RN3AMTuv/8cHKet7bUMS76wvZdbCaqAgLZ4wfyMXTUjltTLLbtZS1PzRF3/MF1VeZAX+lJ7AFx8PNZbV4WX166r2ovbSk4LQ0lk7noTepb3Lwm//mGAs7mt/gk/pGkdIvmimpCfxwzgimDe/P9OEJWCO8FRrXSdoWC47Dqfj5m5vcb8IQ/MTcWtzsd2+wO/xO+MM1jXy0+QBNDkWjw0m0xfsCeXd9odey583hg03F7nY9aXI43UqJb78+2XKAyAhhWGKMlxKxeu9hjniYlD0nsvsk5wBxNitVDXYvpWhZTgmxNisOp/Lqg8tKc9G0oV7ugtpGOyt2lnLZzGFEWASbNYImh8LhVHy8+QA2q4WpAyP4uFB59e3DTcVMGhrPmJQ4L5mO1DSStbOMG05O93pQNzmcFJTXsm7fkYDHp8Hu4P1NxcxKS2RN/mG/N8Hiijq2FldyZhfN7KuU4nfv57BwwiBOGjUgaL2/f7ELh1NxoKK+RQVn8WPfUt1gb1XB2Vde47XcYO8861BNg501+Ye93uRDobrBzuyHvuDxq6e3efRIZX0TN764DqeC5689kXgzaZrNagn5IWp3OLnz9Y2UVNa7+9MRBUcpxT3vbOGNdfsRCFRJpwAAIABJREFUgYq6wG6a3oxSinP/8W3QEUyBLCue/0ebFJym4BacYO3UNxlu67ezC/ku7xBOBdOHJ/DghRM5d/Jgv/xa7cVTMREz64qtjRacKB8LTme6VpVSFByuJb5PZKfJ3FZaUnDWisiPlVLPehaKyI1Adtd2q/fQLzqStfedwZrvV5J56ilERliIjJBWZ5l1nWSuk7QtFpx/f7fXL2tloLcJh1Ox+LFvPeo4ifOp8+a6/e63k4Ymp1c8SG2jnaVbDhATFeF2NbkuACMhnmml8bn4V+4u50htE3HRVq9+KaVYuqWEUzKSqfZRVlxuKxeuiezySqvYXVbDZTNTeXNds7Jidzj5bFsJ88cOZOXucq8L02WlmTMyCZHmN7oVO8qobzLcU9B87OuaHHy85QDzxw4k2lqFzWpx93tfeQ2bCo/y/84Zi4gQZbW497U05wB2p+L8KUOIjvS+SbhSpbuOqycrdpRSUdvEVbOHmwqO93/3wIfbWL6jlF0PnU1XsLXcyYvr9rE2/whL7zglYJ11+YdZbcZdtXTTO1hZ756sz+5wuhV4Xyrrm7joiZVeZZ15M1306NfsP1zHmvsWMDAu9DwnuQerqGl08Mjnu9qk4NgdTm5/dQP5h2p4+cbZpHkEvtsiI0KSzelU3PPuFj7JKWHa8AQ2FFR0yF1Z02Dn+W/38sa6/fxwzgi2HahkW3Hbph/oDbisMYEy90JgxcPz/2jLeee6NzY6AgUZe7ez62AVr60p4N31RRyta2JoQh+WnD6Ki6eneg2M6Cx8lRnwj8EJpOD4BRl7bNMRl2Zto51N+4+yvuAIGwqOsKGggvKaRk7JGMDLN7aUw7fraEnBuRN4T0SuplmhmQlEARd1dcd6CxaLkBxno2+k0NcW+qA0l5kwKsL4DjUWYU9ZNX/5bCcDYm0c8hgaHuiiXbrFW2nwreN0Kq+h2sbNtTm53adbS6hpdHDFicN4fa3hUnE9rDfur6DgcC1D4qMpqaz3srh8tKmYOJuVU0cne92ENhcepaiijjvPyOCDTcVU1dvd/fh0q3diPNdEdp+YAcnnTxlqKjjGjWaNafE5e+IgsvcdcStLdY0OsnaW8YMZQ00rjYdCsuUAA2JtnJhmjN6JNi/0b3PLKKtqYPHkwXDYVHBMOT8y3VOLJxujnGxWi3tf728sZtTAWCYM6edlfapvcvDehkJ34LGvm+7t7EJS+tlYMG6g3/9yqLqBL8wA6ZYUhmDYHU5EpMXzadleo68ThgS3yvxzRZ47Q2qwh67TqdwZYcF4GATr75NZuznsMZQeOtccvv+w4UatbXDgp8WHQFs9Ng9+vJ2vd5Xx8MWT/GLXPBXkoPtTigc+2sbb2YXceUYG4wb34ycvZ/u9LIRKeXUDN7ywlk3mSKmZaf3Zc6g6oHu0t9OagtK5FhzzxS5QDE6Tk7pG4+XotTUFZO87QmSEsHDCIK6cNZy5I5OCBgt3Br7KDASKwfG3kHq+jEVZLV51QlWwlVLsK69lfcERU6GpYEdJlds9PzK5L6ePHcjG/RWUVze20lrXEfSJrJQ6CJwkIqcDE83ij5VSy4Ntowmd9sTeNDmc3PnGRqIjI/j14nHc+cZGACIj/Ef9OJ2Kx1fkeZX5+qa/yi1j/+E6Msckk7WzzK+Nd7KLGJbYh3mjBjQrOPbmh3uU1cJ5U4bw9Nd7sDsVkRFCo93Jp1tLOHNCCjZrhNcNe2nOAawW4czxKXy27aCRPAsj/qWsqoHoSIu7vmsiu09ySpg+PIHhiTFAs7Vo2dYSoiMtnDYmmf/7bKe771/tMkYlnDPRtNJYI6hvclDX6GD5jlK34gPN/uq3s4uIjrQwf+xA1qzc5aUUfbipmJkj+rtnB7dZjbfzooo61uw9zF1njkZEvN6K1uYf4VB1A79ePI4HP97udXMsq2pgxc4yfnzKSPfIN8/1760v8hr91VYF55fvbOZgZT2v3DQn4PrDNY3klBv/YbCHek7RUbJ2lnHlrOG8tqYg6ANlac4BdpRUuZcbmpwEskQXV9Tx/Ld7/co7I7i6orYx5Fg0T7YVV/Lwsh0syTyhzft8dXUBL6zM58aT07lilv88Zp7nTzAe+SLX3cYdCzL4ygywb49Va//hWq59fg17DjW7AG3WiIAxGi56cwhOawpKYAuOI+Dv1mgpBuet7P08tjyXqno7Iwf05b5zxnHx9KEkxdpCbr8juF6OPQllFJXndr5BxsHOP4dTsf1AJav3Hmb1nnKy9x1x5/6KtVmZOiyB2zJPYPrw/kwbnuB2SS15dT072jiJaWfSqsnBnPByRWv1NG0jKiK4ghPszf3RL3LZXHiUJ6+ezkCPwN646Eg/5WXZ1hJ2lFSRHGdzKxK+J+9/Vu1jQKyN86cMMRUc75FD3+0+xM/mZ3gNQW+wO7E7nHy0uZgzxg1kgHkx1zc5iIyw8G1eGZX1ds6dPJivdx1yt6mU4pMtJcwbNYCEmCivOIVPtpQQZbVwSkYyn287aO7HQUF5LdsOVHLfOePcF26D3YHTqViWU8Jpo5OJibISbY1wKwlLt5TQPyaSWemmlSbSeNhk7TQVH9M9Bc2m2qydpSycMIiYKKtZHkGD3cGug1XsKKni/vObRzcY7Tn40Iw/csWdeCo4h6obsFktXDhtqKHgeBz39zcW4XAqLpkxFGuEkS7fZf5WSvH62uYspA12J3097pUF5bXc8cYGnrh6OoPj/cPgiirq+O+GIlL7x/itc+GZVDDYzezxFXnERVu56ZT0oAqOw2kEsnoSrL2/fLYThTFiMK+0utX6beH+D7e5zxkIzSrUaHdy3b/XUFrVQObo5DbtL3vfYX73QQ6njU7m/50TeMZ4m8f5GIh/fbOHx77M5bKZqfx68ThTQTaV3TYqfTtKKvnRc2uob3Lwu/PGuwcU2HzezNvL5sIKmhyKGSP6d7itzqK1YxRovafS0748OP7b5JfXsnjSYK44cRiz0hNbDUvobAJbcHzz4LTsxvINMnYdpyaHky1FR1ljKjTr8o+4B3QMT4whc8xAZozoz/QRCWQMjAtqMbZFtK7sdyXdOVUDIrIIeBQj0d+/lFIP+6y3AS8BM4By4HKlVL657l6MCTgdwM+UUp8ew653GHfeAvMEFI+puQK9ua/eU84TWXlcOiOVsycNJsdjkjgj1qX5JHI6FY9+kcvI5L4snDCIJ7N2u9t1sf9wLct3lrIkc5R7wjVPa8u764tQCi6ePtQrP0+D3cnK3eUcqm7k/ClDKa2qd5fHYbh0+kVbOXlUMqv3NgfQbi2upOBwLUtON96Yo804BaUUn24t4dSMASR5BFc22J18ud14cC2aOIhoa7O1Y8P+I5RWNXD2xOZYmga7wxg2vqOUxZMGu4+fy+Ly8ZYDJPWNYlZac3I5V7yR3akM95SJLdJCTY2dDzcVYxE4e1LztAyut/P/bihi2vAEhicZyoTv/3XWhEFueVwuLaUUb2cXMmVYAqMGxjW3Zx739QVH2F1Ww/ThCawvqPDLE/TCynw2FFSws6QqoILzn+/34VTBHwDl1Q38z5sbm49xAPdFXmk1y7aWsCRzlFt5DfRG/OGmYvJKqxma0Mc9yi7QfrcWH+W9DUXcfOpIdpdWt6jgbCk8ym2vZvPKjXPcx7Ulahrs5AcIXG4JpRS3vZJNqan0t2VY7MHKem75z3qGJPThsSumBb+pRwZ3Ub2+poAHP97O4kmD+ePFk90PRddDpi3uk9wjDn721Cr6REXw1i0nea3zzVDrS6DZsX3Xb9xfwUVPrKR/TCQbAiTM6y4CHSNPF3lrMTh1jW2z4BysrOfr3OYUFvF9InnsymlMSY3vtuBZCDaKqm15cHwT/a3eW84Pn1tN9r4j7rjLE5L7ct7UIcxOT2RWemLAe08wbJHHqYIjIhHA48CZGPNSrRWRD3wyEt8IHFFKjRKRK4A/AZeLyHiMqR0mAEOAL0RktFKq1zmcA2nYjT5v7gcr61ny6gZGJPXld6Y1wdOP6hvM+0lOCTsPVvHoFVO90pV7PtBeW1OAAFfOHu5+6HgGEL+5bj+z0xMZkdSXg5XesT7vbywmLtpK5phk3t9Y5C6vb3Lw+daDLJo4iCirhWhrBI12pzv3TYRFOHP8ILfc9U0Od1zOz88c7aW0NTQZI7EmDOnHsMQY98O+3u5gWU4JkRHCfDOGxaUkfJt7iOoGu59CUlHbyOq9h7lw2lAvRcR17PtERniNvnH17cNNxcw9IckraNVmjSCn6Cj7ymu9LDu+XDxtqF9Q8tbiSnaUVPGHCye663kGpL6xdj99oyK4eHoq6wsqvG4M9U0O3jFHtAW6YdQ3OXh9TUHQ9QA/fW0Da/ObJ+OrD1Dv6a92Y7NauH5emvv4+D6sHU7FY8tzGTsojnmjBvCc6X4KtN+HP9lBfJ9Ibsscxf97d4vXOt9pMn7zfg77D9ext7ymVQWnttHO4se+Id8nHX9rN9NXVhfwxXb3rC9u5bK1YdONdie3/iebmgY7/7lxNvExkUHrBnNRfbLlAPe+t4XMMck8cvlULwWp+ViH9jD4NvcQ/7eunqH9+/LyjbNI7R9DvoeLyoitaP9MPJc//T1r8o0g8yNBEuZ1F4GOkctFHmy9b7LPUPl0awlvrduPQykWTxrMrxaNJbV/ny6NrQkVr1FUZndCicHxyoMT6W3p23WwGosIl85IZfbIJE5MSyQ5rv0uN5v5DOguutOCMwvIU0rtARCR14EL8J5T6gLg9+bvt4F/iqGmXwC8bk6+uVdE8sz2Vh2jvncY9wkZ4CbkeTG6bqy1jXZe/fFst7XF86SMs0W6A1mdTsWjX+7ihOS+nDt5CM99u8ev3Qa7gzfW7mf+2BSGJvSh0LTQuBSg1XsPs6+8ljsWZJj7au5jZV0Tn24t4ZxJg4iOjHBbQeqbHHyTe4iqBjvnmtMONLuVnCzdUsLckUkkmlYNl2Xlk5wSIy5nXAq5B5vjOQoO17C+oIK7zhxtHCfzwq1vMraZN2oA/aKNh0x0ZARHahpZuqWEuGgrJ53QPPTZFmlxj7JyxeW4cPV9wbiBXsOVbdYI9h6qocmh3JPZeba37UAtERbxsvp4MiDWxilmYj/PgNO3swuJirBw3mRvN1mD3UF1g52PNh/gvMlD3MfIW2k9wFFzyG+gG/iHm4o5UtvExKH92F1a47e+ttHuNw2GrwXnwNE6/ruxiKtmDScp1obTFQvkY57/aHMxe8pqePLq6Wz1GKXjW29l3iG+yT3ErxePI75PpN8D11OO/24sYqMZkB5KNtVHv8j1U26gZQtIXmk1D368jQiLuIMhXddNa5l97/9wK+sLKnj8qumMGdRyFLPNGuEX3Ltm72HueGMj04Yl8OTVM/yu+2YXVesPgy+2HeS2V9YzsI/wxk/muBVwr+G/ES1bcIKxubCCPy7d4VZueiLBLDSunDKBrGeeZZVtGDrf5HBy3Ulp/GhuWkhWxWNJKBYcl9LnVcfj2dEnKoLLZg4jJiqCS2akkhxn61SrVFQIAfddSasKjohU4R+TdhRYB9zlUlDawVBgv8dyIeA7lsxdx5y76iiQZJZ/77NtwCQcInIzcDNASkpKl03X3tap4I+Yyf/25uWS1ZDvXgb4+ruVDIyxoJTixa2NrC+0c9sUG8Xbsyk25sqjot7D5FpVweF6RVZWFmsO2Nl1sIFbJtv45uuvKNjXfDFnb9yEs9jK98V2ymsamRJTQVZWFnsqjBNw7YaNNBZaeWZzA32s0PdILllZeeyv8sh9s34f1Q2KERwiKyuL3BLjbei7VatZureJ2EhoKswhq1jYn2/s+8WPsth7qJ5TBza5j1HpgUbqGu28t3YPY/tb2LDmO4qLmqPtn/tiEwBJdfvJyjKsRFYLfLlxN4VHnJw51OFuq6qintJqJ3kHjzIl2crKb792t9NQU2e4zyKhYf8WsoqaL3iXXCdYD7vbqq6u5sihBpocigiB2IrdZGU1n+L11cb/ND7RQs66wPr0XVMtfPuN0QeLcrB3XyFfLC/lnbW1TEmOYOOa5uHSzqYGCooO8Nc3S6ltdJBhLWOXaWFYuXotJfHGzejJ1XX0sUKdHTZt2Uq/I7u89vnEyjqGxApptjq2NjlYsWKFV0zA8gLvm7pFoOxwhdc5+9qOBhxOxcTIUne5VSB3Tz5ZWUbMkVMp/vhtHamxgu3QDooLm9v9fu06yvOM/iqleOD7ehKjheGN+8jKKqC8zHtC2PUbNyMHrNTbFQ98U0eCTahoUGzYnENUmXdWaE/2VTp4dlV9wHXZGzcjJVa/69HuVPzh+3qsOMkcHsky89zctccYRVhVFfz6/Wp/E69sbeSc9Ej6Ht5JVtbOoH0DqDpaT0WDcrdXVOXkodV1JNmEG0Y1snrlN37blNUa52Kg/9aT7w/YeXZzA8P7WbhlrJNt2d+73wgrG5tv05s3rqesJPiD/EhFpZ+83xQ28VxO4BEvXXXfbI1A99W8I/4PzOVffUO/KON831jcbKFxbbu5rLls++78Vvd7+ZgoRve3MCzOQlREKXu2lNLeB10otPX5AbDm+5X0MRO31tUZ96UN69Z511mzhoK+/orQzZNt2CJg/ffGTExzY6Bo+0GK/Gp2jANFjTQ0OVmxYgU1NTXH/DwKxYLzN6AYeBUQDNfQIGAn8DyQ2c59B7Lx+SpSweqEsq1RqNQzwDMAM2fOVF01XXtbp4L/V95qKD/EpAnjyJye6l4GmDbjRDJS4vjn8lyyCndxa+YJ/HKR90SaR2ubIOszAIYOGkhVSSUnn3IqDzzyNaMGRnL3FacSYRFK1hTAdsM1MHrsBDInD+bvj39HWlIES36QicUipByohO+/Ycy4CUwfNYD1X37BxTOGs3CBMd3X3kM18F0WAIfrFQNibdxy8XwiLILaWQob15IxYSpb1q3l/GnDOGP+ZACKVu+DHTnsdSZjkf389OJT3XEdm+y5fLRnFwdrFXcsHE/m7OFsaNoFu43A1c2HFCck9+Wqc5uPaZ+sT9l+2I5F4KcXnea2dLx7YAPZZtDv9WdMJdMjQd6zed+TW1HOudOGscDslycnzanmhOTmbK9ZWVmMGJbEN0UFnDZmIOee5T2P1gt717D9cBnXz59I5vRU78aWfQzAlefOdxfFrV5O4sBEHCmDqGrK5rZF08kc2+wOS9jwNQmJfdlQWU/GwChuvOBUw9KyfjUTJ09jVnoiuQer2LXsa/dUEWmjRpM5Z4S7jU37K9i77DseuGACR2ub+GjPLk4+9TT3G63TqXjgka9IiFHuqT369YnEFtOHzEwjD05FbSNLli/n/ClDuPScac3HfMWnDBqSSmamMYvx+xuLKKnZyONXTWf+5MHkReyGXEMZGT9pCvPMxIHLcg6w9+h6/nzJZM6aOcw4tpVb+aow3932qDHjyJw6lD8v20FFw24evWIqd7y+kRNGjyVzhs+xNXE4FX99/DsS+zoZHN+HLUXeE0hmjDXa9L0eH/5kB/sqd/P0D2dQWlnPsvytxnFISoGCIuLiYt3HwpMNBUd45fPvOSVjAP+4flZI6RzeLMqm9mA1mZmnceBoHfc+sZLYPjbeuu2koAHgpVX18PWXpPv8t568sbaApzdv4cS0RJ67dibZ33/nJWNVfRMsN+4J8+bMomhdIewLPGVgVJ++ZGaeChhWioc+3s4LOfmMH9yPbQFGvXTVfbM1At1Xo3YfgtWrvcpOnD3HHRtSum4/bDZG1rm2bdhaAtlGtpN+SYNgn3cCUxcf3n4ykVZpMbFlV9Cm54d5n1mQeZrbStdn7QqorWXOnNnwbZa76ry5cxiW6H/OhbinDpPjzOXD3cb96Ltvvj7m51EoNsxFSqmnlVJVSqlKU2E4Ryn1BtCR0PpCYJjHciqGIhWwjohYgXjgcIjb9gpcJ6hnAH6D3cnb2YX85bNdXDRtKHefNcZvO99I+EaHkzfW7WfPoRp+uXCMx1BozyGADrL3HWHj/gqun5fu9iN7+v8/3FRMfZOTy2cO82rfk/OmDG5u31znyplz7uQhHtsZb/NLtxxgdnqSW7mB5hgii8BZE1ICHoOzfVxKNmsETgWz05tdXZ5t9Y2KcLuGfPvg25YLT+XGd5vzpvhvE22NIDrSwlkTBvmtC4QrHuPt7EKS42x+/YuyWth64Cgb91dw+YnDvIacu+KOXl1TQGSEcNVsY0iyrwvnpVX76BsVwUXThnq5BV18tauMPWU13OrhbusXHellOn551T5qGh3c4jNs2tPE7HAq/rE8j9EpsZw90RVL5Z9Dw+5w8udPdzJqYCwXTxvq1ZYnDXYj4/O/vtnLxdOGMndkklc7gXhhZT5bio7yu/MmBIwNCOTiWbW7nKe/3s0VJw5j4YRBXn2uqjcUvkAxOKVV9dz6n/WkxNv4x5XBg4p9iTJHjhyta+K659dSVW/nhetntTi6rTUX1fPf7uVX72zh1IxkXrx+FnHR/jFAnnK1FoPjCq4+VN3ANf9a7R6y/vpPAqcX6EkEdFE1OVtc71nm+s9dDIi18eINs/jopyczKTX+mCs37cXT/WQxb55KKX5z7niGxEfzwAUTAio3x5K2uF67glAsOE4RuQwjBgbgEo91HUmnsBbIEJF0oAjDMnSVT50PgGsxYmsuAZYrpZSIfAC8KiJ/wwgyzgDW0AsJFAT21rr9vPz9Pk4eNYA//WBywIA2T/+rLdJCZZ2dv3+Ry4lp/b1S/Hs/gJw8/91e+kVbucTjDdnmkY/lzbX7GTsojsmp8R5teN8oPVPyu+JY3t9YRFLfKGanJ/ptV9Vg55xJ3gqBa92JaYluxUd8DHOLJnpv41JkzvZry+jD6WMH+s3MHWuzkhATGXAi0WAkx9mIs1k5Y5z/VAk3nJzO2ZMGuWOhPHntx3P8ym3WCIor6thSeJQbTk73G21ls1rYf7iOyAjhomlD3dtAc+D2u+uLWDhhEEPMXDyeN4vDNY18uLmYy2amEhcd2bxtk8Pdl+e/20tKPxsXTR/qni8rLtrqtubUNTp4YWU+p49J9ru5ewbMfrzlAHml1fzzqml+yrGxT6PeO+sL2VNWw1PXzPCS11dBaLA7efDjbVgjhF+dPdaj74FvhoVHavnrZzs5fUwy504e7JfI0vfYAByta+KuNzcyIjGG35xrWKGivGLKAgecujIVV9Q18u6t89oUl2CzRlDTYOfml9ax51A1L14/i/EtJFU0tgkeP/JEVh5/XraTRRMG8eiVU4MO//Z84LU2iqqhycGWwqP85OV1lNc08sjlU7hoWir2IKPKPEcpdTetBRG3lujPczDD3QvHcOG0oe48V70Jz//jmR/O4KVV+0hL6suNJ8dy48np3dizZlznYHfNUh6KgnM1xlDuJzAUmu+Ba0SkD3B7e3dsxtTcDnyKMUz8eaXUVhF5AFinlPoAeA542QwiPoyhBGHWexMjINkOLOmNI6ggcBDYi6v2cdIJSTzzI/9gRBcWrxEYEe4A1KeumeF14ns+gPYeqmFZTgk3nZzulXXZldF3Y2EFmwqP8ptzx3u34aE0jEiKYUoA5edIbRPXzBnu9UBzKRsisNBPWXFZVprLPZ9/qf37+GXade1r4YTAypJnjhsXPz9zNDecnO5214TC9fPSuHj60IBvybM8FDhfAilR0ZEW1hcYwbM/8HVp0WxhO3N8ijtBmGfOn6VbjODiq2YPDzjS5q11+2m0O/nhnDRjW586uw5W8U3uIe5eOIY4W7M8/aIj3aPj3sreT3lNI7dmjgrQP2MUhMOp+Ic5eaNnsHa0T46k+iYHj3yey9RhCSyc4K0g+p7py7cfZMXOMu5eOIaUftFui1WgB5RSit++vxWl4A8XTvRLrujug8+N9IEPt3GwqoG3b5nrPue9guaDWHD+8tku1uw9zN8vn9qqcuKLLdJCeU0j5XsP89iV01qc78uF64XFV7l7fEUe//fpTi6YOoS/XjqlxcSPXtdsRESLFpxD1Y1c8tRKkvpG8fYtJzHJvKaDtR9sot7uoLVEfp7rnU6FxSKUeWR9r6q3c8/ZY/0GEPQWMgbGkuuRbgEgIyXOa3RmT6GtowM7m1AS/e0Bzguy+tsg5SGhlFoKLPUp+63H73rg0iDbPgQ81JH9dyeue1Ggt6JTRyfzzA9n+FkjguE6iRZNGOSXkMvzbe+11cYw4h+dlOZdx9zPfzcUeVkSfNsH+MulU7z67NlHT/eU53YnpiX6zQ90wsBYBsdHeyklnodi0YRBfscmvk8kM0f0J8Vn9vJB8dHE94kkc4x/0rb2zAFjs0YwMK5zJoF0Hf/JqfEBR9+41l8WwCXY0OTk9bUFpA/oy9yRSe6HuqfL6D+r9zErPdHdtuv/cN1Q/v3dXmxWC1fNGu6lLLtSC9gdTp75eg/ThydwYpq/x9m1v6VbDpBbWs0/rpzmo1x7u0BfWpVPSWU9j1w+1e//8z3VV+wsY1hiH/fbZlQLo2A+3nKA5TtK+fXicW5XT2sjED/fdpB31hfy0/mjmDa8WTZPt61ruhBPvtx+kKe+2s1Vs4dz4bSAYxdaxDUi79eLx3H+lCGt1DawWMTt2nLhqdz87bKpIbvIIDQX1ez0RB6/erqX6zgYgSbqba1+aWVDl7hIWrPQeJ4/3+8t5+mv9vDVrjKGJvTh3nPGckpGsnti1N7IO7edxOFunP6gLbQnv1NnEsooqtHAk0CKUmqiiEwGzldKPdjlvTuOGDe4H9/kHuKuM0dz82kj25SFND4mEqtFuHtRy7E6VQ12Fk8e7GeOdd0IaxsdLJ402Cu+BcDqcWM9MS0x4LbJcTa/da6H7TkT/eNVTkxLZNW9C7zKXA/EftFWv1gQgEcunxrwJnvtSWn8YHqqOxNxT8J1/ANZb8CYdX5YYh9OyWhWzlz//Zaio6zNP+Ke6NNY15wY8OtdxlQbv/IIQPd0dRyuaeTd9UVcPD3Vb4bquOhIdwK8F5+YAAAgAElEQVTEwiN1/O68CQGV7SirhbomJ4+5rDc+VjLP86usqoFnv9nLaaOTA1qzfF2QAPedM959nlgsEnDakcr6Jn7/wTYmDY3nOg/lPNA14rqRVjUq7n93C+MG9+On8zO8+xwgBsdpmnD2H67lf97cxPjB/fit6dJqK9fMHsGEIfEhKzfN/WrO7t0R5Qb85xjy5f+dM5br54Vu2WzLA8rhVMx7eAWHqhvY9LuzOl2ZaMtkmlc9u5r+MZH8ctEYfjQ3LaBr+VjT1NREYWEh9fXNIwHj4+PZvn17m9rZXtZ6ne5mhMXBs+cPprIkv10y+hIdHU1qaiqRkaGdU6H8288CdwNPAyilNovIq4BWcDqRuxeO4czxKX5KQihcOzeNs8anBAmY9b6BBfLNWi2CRcCp4NKZ/g/ilnzvrmkcFk8a7HcTnjosgV+cNZpLZg4LtGlQrpw9POBb5YikwNaYyAiL3wO8pxBtjSAyQoI+7H5z3ngampxex84Va+TKm3PJDA/rTmSE+w31pVX5JMfZvFx2bvdWk5NXV++jwe7khnlpfvuNi7bSaHfyZNZuMgbGsmBs4Jm0bVYL3+8pp9Hu5LEAgbaeD9F/f5fP0bom7l7or2iDvwVn3qgkPzdWoGkO/vbZLsprGvj3dSd6uVBasuC8vK2Bo3VOXr5xVoCcM95KPxgjiRrsDm5/dT1Op+LJa6aHbEH1ZVhiTLssF64MyB1VbsCIdwp0fJ66ZgbxfdoWkwahuRiaHE6W7yjlJy9nu8sq65o6XcFpKc9NTtFRvjbn9Ro1MJZLZ6RyzZwRbZoIuaspLCwkLi6OtLQ09721qqqKuLh2zBLbw6msa8JaXsOogbE4Guo6JKNSivLycgoLC0lPDy3GKJR/PUYptcbnIRd6KkhNSERGWNql3AD0tVndqf998bzJTR2WwPTh/m4I11w4CTGRXpYET+5eOIbIin1+5UmxNh64YAKLAowqirJauN3n7bklmkcChLxJj+eq2cM5dXRyUAWsX3QkeHvc3EpDdYOd86YM8bKouSw4BeW1ZO0q46fzM7zewj23fWnVPk7JGEBGiv+50S/auPR3lFTxl0unBM3M6spEOmpgLIsDxDh5KgvlNY2cN2UIE4fG+9UD/xicf1453U95NkYENj/AcoqO8tKqfH44Z4Q7TsRFYAXHyEC9psTB3QvHMG6wf/yMp1LmOtca7E7+uHQHmwqP8tQ104Mq012JzRrBspwSymsaO6TcNLfnf3wyxyS3S3FrTcHJK63izjc2klPkPcS8LVNhhEogC8624kreWlfIJzklxPeJ5M+XTPZy+/Yk6uvrvZSbcMYlYmfc00WEpKQkyspCN12FouAcEpETMEdMicglgP/wBU2bOG/KEL7JPcTIdsSItAWLx0X0x4snBa130glJnDYmOegNdcnpo8jKCpw74kdz0zrURxcnjxrAn4D5QawJvZFT2ziZI3g/uK/yma3aNarpldX7sIgEXA/GSKbSqgb+fIl/7h/AHUA9OD66RVeKq72fzh8V8NzwLLNaxJ15OiAe5+IlM/zdZq79uSw4Tqfi1//NIbFvFHcFSJUQ6FQtPFLHexuKGBlv4SenjgzYjUCKUXFFHS+szOeGeeksCpJSoKuxWS0UVdR1inID3nI+f91MRiXHtdsqFWzovtOpeHFVPg9/ssPt5vPaLoTJT9veF/82//LZLvpGRfCzBRncdEq6O8t5T+V4UG7Ae/h6Z9DW4xaKgrMEI1HeWBEpAvYC17S9axpPLps5jAunDm1XOnVPfONlfHGdDick9w34NuviuetODLruWDEpNZ78hxd3dze6nQgzFmVY/xjmjPSNeTJGzH23+xALJ6QwKD7abz3ABxuLOSG5L6cGsci5AmFvOmVki+fgUHM0m28AuQvPG84P544grQWF3VVzzshEHgwy4sNzbq431+1n4/4K/nrplJDcHJERwufbDmKzWvjxdFvQEUGBLBtOBdOGJ3DP2WMDbHFsmHNCEnNOSOIPF0zssHIDuN0y04YnMH+sf8qDthBIUSk5Ws8v3trEt3mHmD92INfMGc4NL3hn0u2KNP2+FhyrRbjh5HRuOe2EVu+HmmOL6/bgVIGz83Y1oY6iOkNE+gIWpVRVa9toQqOjys22BxZ6WWgCkWI+AK/zGTml6dmcN3kI88cN9HtjiY60sGpPOQ6n4poAGW9dMTh2p/JK5ujLnJGJXDB1CFec2LIZ//7zJxjTVgRpx1U8Mrkvv1ncclCuSxk7b8qQoJYE16itwzWNPLxsB7PSErl4emgjmeKiIzlc08ivFo1lsN3fnereR6T/dTcg1sY/r5re4WuyI/zvRcEtrO1hxoj+PHXNdDLHdNwi6utq+mLbQe5+exP1TU7+96JJXDlrGLsOVvtv18mjZ+oaHewoaX4EXTYzlYcvDpwrTBOY8vJyFiwwBniUlJQQERFBcrLxIrRmzRqiojpPSXQNLKiqtxMthhUnNjaW6mr/c6UrCKrgiMj/BCkHQCn1t/buVEQSgTeANCAfuEwpdcSnzlSM0Vv9AAfwkJk9GRF5ATgNY04sgOuUUhvb25/eSiijhvpFR2qrSC/kb5dPDVhus0bgcCpGDYx1Z/71Xm88oOP7RLaoGIwaGMejV0wLut6FMSN68IdHfzMB3rwTBrT6kLl85jD6x0Ry1vjgWaBdLrg/L9tBVb3dnfMmYN983gmHJ8YwbnAc152Uxtdft6Dg+IwuGp0Sy0c/PaVblZuuIDLC0mnuNpcFp77JwcOf7OCFlca0Dv+4app7cEPAvESdpOA4nYr3NxXxp092UlJZzw/njOA3544Pu//sWJCUlMTGjcbj8ve//z2xsbH84he/6FCbDoeDiAj/lxaL+feU1zSQYBPaFtrecVp6QroiE8cAJ2JkFQYjJ87XAbcInXuAL5VSD4vIPebyr3zq1AI/UkrlisgQIFtEPlVKVZjr71ZKvY1Gcxzhsj78cM6IgA9+1zDYq2YPPybD5oclxvDRT09mdIBAZl8sFmn1gWuzRrC1uJKsnWXcfOrIVmfu9uS1H8/BGiGtKlq+D+L5Y1P0g7IVGuwO8kqruP3VDewoqeKGeen86uwxXspiIMtYZyg42fuO8MBH29i0v4LJqfE8duW0FhNu9ibu/3Ar24orgyoI7WH8kH787rwJndJWfn4+ixYtYvbs2WzYsIHRo0fz0ksvERMTQ1paGjfccAOfffYZt99+OyeeeCJLliyhrKyMmJgYnn32WcaOHYuqPMiPr78We1Mjixcf25ftoHdApdT9ACLyGTDd5ZoSkd8Db3VwvxfQPN/Xi0AWPgqOUmqXx+9iESkFkoEKNJrjlJioCPpGRQS1ziTF2njtx3OYNjzhmPUp2Kip9hBltVBW1cCgftHcsaDlEXi++p0rriiUfXjy8zNDH+nX0/nq7kzquiAt/jvrC1mxo4w+URE8f93MgDE9UQFinjrioiqqqOOpTfV8v2wlA+Ns/PXSKVw0bah2Rx1jdu7cyXPPPce8efO44YYbeOKJJ9wWn+joaL791sj3u2DBAp566ikyMjJYvXo1t912G8uXL+c399zN7Utu46KLLuKll146pn2X1qKbRWQHMEUp1WAu24BNSql2R+OJSIVSKsFj+YhSKujEnSIyC0MRmqCUcpouqrlAA/AlcI+rfwG2vRm4GSAlJWXG66+/3t5ut0h1dTWxsf55aMIJLWP3U1DpoKoRJgxo39vedctqAHhh0bEfBh0Kj2TXs6nMwW1Tbcwa1LIF6p3cRj7c3cTk5AhOiLdwwajm2IGW/kelFNd/WgvA02fGYAswXUpvoKvOVdc54sv4JAs3T7KREB3Y2lVnV9z6Ra1X2Y8nRTFvaNtGNNXbFR/vbWLZ3iZAcXZ6FOekRxLdQ6aK6Cjx8fGMGuU9LUpnWnDawv/+7/8SGxvLz372s4Dr9+3bx9lnn822bdsA+Oqrr3jqqad47bXXmDhxIkuXLmX48OFUV1czcuRIMjKaXxYaGhpYt24dI0aMIC8vD4vFQk1NDWPGjOHAgfYPxM7Ly+Po0aNeZaeffnq2Umqmb91QbNgvA2tE5D2MoeIXYSgbLSIiXwCBnO33hbBPz3YGm324Vinleh24FygBojBGeP0KeCDQ9ubs588AzJw5U3XVdO1tmu6+l6Jl7P38MaaAlZt29FgZ8yP3Mq6kirsvntTqkND1jTthdx7zp4zkzjO8h6e39j/eVLONBeNS2pzwrifRZefqso+9FscN7sd5UwZzy6kntGg9aXI44YtPvMpGZowh0yeVQTCUUny4+QAPfbyNg5VNXDB1CKfGH+EHZ89vuww9mO3bt/slvOuuRH82mw2bzRZ037GxsVgsFvf6mJgYIiMjiYuLQ0RISUkhLi4OpRQJCQls3rzZrw0RoV+/ftTVNSf6893f448/zrPPPgvA0qVLGTIkeOqK6Ohopk1rPX4QQhtF9ZCIfAKcYhZdr5TaEMJ2ZwRbJyIHRWSwUuqAqcCUBqnXD/gY+LVS6nuPtl3qX4OI/BvoWISURnOccOWs4Qyu3dPd3QjKdfNCnwU5PdmwQo1IanvW4F+3cxqG440h8dF8cscprVfEe0oXF6G6qPJKq/nt+zms3F3OpKHxPHH1dGaMSCQrK6st3dV0AQUFBaxatYq5c+fy2muvcfLJJ/vV6devH+np6bz11ltceumlKKXYvHkzU6ZMYd68ebz++utccMEFvPLKKwH3sWTJEpYsWdLpfQ8pClEptR5Y34n7/QC4FnjY/H7ft4KIRAHvAS8ppd7yWedSjgS4EMjpxL5pNJpewIVThzI0ISbgJKGa9hNns1LVYGfz788i0hJ68HUgi1treXBqG+38Y3ke//pmD30iI/jDhRO5atbwTskDpOkcxo0bx4svvshPfvITMjIyuPXWWwPWe+WVV7j11lt58MEHaWpq4oorrmDKlCk8+uijXHXVVfztb3/jsssuO6Z9764JOh4G3hSRG4ECzBnDRWQmcItS6ibgMuBUIElErjO3cw0Hf0VEkjFyB20EbjnG/ddoNN2MiITNaJqexNI7TmFnSVWnZAMOlslYKcVn2w7ywIfbKKqo45IZqdxz9tiQZjbXdB6///3vW61jsVh46qmn/Mrz8/O9ltPT01m2bJlfvfT0dFatWuV2w91zzz3t7W6b6RYFRylVDiwIUL4OuMn8/R/gP0G2Dy+nrEaj0fQQ2jtZaCACzUVVVFHHb/6bw/IdpYwdFMdbt8xt9zx8Gk1L9JwpVjUajUYTVnjmwXE4FS+vyufPn+4E4NeLx3HdSWlBp9TQHDs8sxt78uWXX5KT03sjQLSCo9FoNJouocHMybPrYBW/emczGwoqOG10Mg9dNJHU/p1jJdJ0HM/sxuGEVnA0Go1G0+m4gpUf+XwXT2TlEWuz8vfLp3LB1CHHzWzawVBKHffHoD20dVZyreBoNBqNptOJi7by7voiAC6YOoTfnjueJB1ETHR0NOXl5SQlJWklpw0opSgvLyc6OjrkbbSCo9FoNJpOxxWo/OBFEwNO7XC8kpqaSmFhIWVlZe6y+vr6Nj24eyOdIWN0dDSpqakh19cKjkaj0Wg6nRdvmIVFRE9k6kNkZCTp6d4JLbOyskLOzttb6Q4Z9Zmn0Wg0mk5h+vAEoqwWvro7k+jICK3caLoVbcHRaDQaTafw7m3zursLGo0brV5rNBqNRqMJO6Stw656MyJSBuzrouYHAIe6qO2egpYxPNAyhgdaxvDheJCzK2UcoZRK9i08rhScrkRE1imlZnZ3P7oSLWN4oGUMD7SM4cPxIGd3yKhdVBqNRqPRaMIOreBoNBqNRqMJO7SC03k8090dOAZoGcMDLWN4oGUMH44HOY+5jDoGR6PRaDQaTdihLTgajUaj0WjCDq3gdBARWSQiO0UkT0Tu6e7+tBcReV5ESkUkx6MsUUQ+F5Fc87u/WS4i8pgp82YRmd59PQ8dERkmIitEZLuIbBWRO8zysJFTRKJFZI2IbDJlvN8sTxeR1aaMb4hIlFluM5fzzPVp3dn/tiAiESKyQUQ+MpfDUcZ8EdkiIhtFZJ1ZFjbnK4CIJIjI2yKyw7w254aTjCIyxvz/XJ9KEbkznGQEEJGfm/ecHBF5zbwXdes1qRWcDiAiEcDjwNnAeOBKERnfvb1qNy8Ai3zK7gG+VEplAF+ay2DIm2F+bgaePEZ97Ch24C6l1DhgDrDE/L/CSc4GYL5SagowFVgkInOAPwGPmDIeAW40698IHFFKjQIeMev1Fu4Atnssh6OMAKcrpaZ6DLENp/MV4FFgmVJqLDAF4z8NGxmVUjvN/28qMAOoBd4jjGQUkaHAz4CZSqmJQARwBd19TSql9KedH2Au8KnH8r3Avd3drw7IkwbkeCzvBAabvwcDO83fTwNXBqrXmz7A+8CZ4SonEAOsB2ZjJNiymuXu8xb4FJhr/raa9aS7+x6CbKkYD4X5wEeAhJuMZn/zgQE+ZWFzvgL9gL2+/0c4yegj11nAd+EmIzAU2A8kmtfYR8DC7r4mtQWnY7j+VBeFZlm4kKKUOgBgfg80y3u93KZJdBqwmjCT03TdbARKgc+B3UCFUspuVvGUwy2juf4okHRse9wu/g78EnCay0mEn4wACvhMRLJF5GazLJzO15FAGfBv0934LxHpS3jJ6MkVwGvm77CRUSlVBPwFKAAOYFxj2XTzNakVnI4hAcqOh2FpvVpuEYkF3gHuVEpVtlQ1QFmPl1Mp5VCGOTwVmAWMC1TN/O51MorIuUCpUirbszhA1V4rowfzlFLTMdwWS0Tk1Bbq9kY5rcB04Eml1DSghmZXTSB6o4wAmPEn5wNvtVY1QFmPltGMH7oASAeGAH0xzllfjuk1qRWcjlEIDPNYTgWKu6kvXcFBERkMYH6XmuW9Vm4RicRQbl5RSr1rFoednABKqQogCyPeKEFErOYqTzncMprr44HDx7anbWYecL6I5AOvY7ip/k54yQiAUqrY/C7FiNuYRXidr4VAoVJqtbn8NobCE04yujgbWK+UOmguh5OMZwB7lVJlSqkm4F3gJLr5mtQKTsdYC2SYkeJRGObHD7q5T53JB8C15u9rMWJWXOU/MqP95wBHXabWnoyICPAcsF0p9TePVWEjp4gki0iC+bsPxo1nO7ACuMSs5iujS/ZLgOXKdIz3VJRS9yqlUpVSaRjX3HKl1NWEkYwAItJXROJcvzHiN3IIo/NVKVUC7BeRMWbRAmAbYSSjB1fS7J6C8JKxAJgjIjHmfdb1P3bvNdndwUm9/QOcA+zCiHO4r7v70wE5XsPwnTZhaNc3YvhEvwRyze9Es65gjB7bDWzBiJzvdhlCkPFkDDPoZmCj+TknnOQEJgMbTBlzgN+a5SOBNUAehoncZpZHm8t55vqR3S1DG+XNBD4KRxlNeTaZn62u+0s4na9mv6cC68xz9r9A/zCUMQYoB+I9ysJNxvuBHeZ952XA1t3XpM5krNFoNBqNJuzQLiqNRqPRaDRhh1ZwNBqNRqPRhB1awdFoNBqNRhN2aAVHo9FoNBpN2KEVHI1Go9FoNGGHVnA0Go1Go9GEHVrB0Wg0Go1GE3ZoBUej0Wg0Gk3YoRUcjUaj0Wg0YYdWcDQajUaj0YQdWsHRaDQajUYTdmgFR6PRaDQaTdhh7c6di0g+UAU4ALtSaqaI/B9wHtCIMZvq9UqpilC2PVb91mg0Go1G07Pp1tnETSVlplLqkEfZWcBypZRdRP4EoJT6VSjbtsaAAQNUWlpaR7sdkJqaGvr27dslbfcUtIzhgZYxPNAyhg/Hg5xdKWN2dvYhpVSyb3m3WnACoZT6zGPxe+CSzmo7LS2NdevWdVZzXmRlZZGZmdklbfcUtIzhgZYxPNAyhg/Hg5xdKaOI7AtY3s0WnL3AEUABTyulnvFZ/yHwhlLqP23d1qPezcDNACkpKTNef/31zhXCpLq6mtjY2C5pu6egZQwPtIzhgZYxfDge5OxKGU8//fTsgGEqSqlu+wBDzO+BwCbgVI919wHvYSphbdk22GfGjBmqq1ixYkWXtd1T0DKGB1rG8EDLGD4cD3J2pYzAOhXgmd+to6iUUsXmdymGMjMLQESuBc4FrjY7H/K2Go1Go9FoNN0WgyMifQGLUqrK/H0W8ICILAJ+BZymlKpty7bHqu8ajUaj0YQDTU1NFBYWUl9f36X7iY+PZ/v27R1qIzo6mtTUVCIjI0Oq351BxinAeyLi6serSqllIpIH2IDPzXXfK6VuEZEhwL+UUucE27Y7hNBoNBqNprdSWFhIXFwcaWlpmM/ULqGqqoq4uLh2b6+Uory8nMLCQtLT00PaptsUHKXUHmBKgPJRQeoXA+e0tK1Go9FoNJrQqa+v73LlpjMQEZKSkigrKwt5G53JWKPRaDSa45ierty4aGs/tYKj0Wg0Go0m7NAKjkaj0Wg0mm6jsLCQCy64gIyMDEaOHMntt99OQ0NDh9vVCo5Go9FoNJpuQSnFxRdfzIUXXkhubi65ubnU1dXxy1/+ssNt97ipGjQajUaj0Rx77v9wK9uKKzu1zfFD+vG78yYEXb98+XKio6O5/vrrAYiIiOCRRx5hxIgRPPTQQx3KfqwtOBqNRqPRaLqFrVu3MmPGDK+yfv36kZaWRl5eXofa1hYcjUaj0Wg0LVpaugqlVMDRUUEmMWgT2oKj0Wg0Go2mW5gwYQLr1q3zKqusrOTgwYOMGTOmQ21rBUej0Wg0Gk23sGDBAmpra3nppZcAcDgc3HXXXdx+++306dOnQ21rBUej0Wg0Gk23ICK89957vP3222RkZJCUlITFYuG+++7rcNtawdFoNBqNRtNtDBs2jA8++IDc3FyWLl3KsmXLyM7O7nC7OshYo9FoNBpNj+Ckk05i3759ndKWtuBoNBqNRqMJO7SCo9FoNBrNcUxnDMk+FrS1n1rB0Wg0Go3mOCU6Opry8vIer+QopSgvLyc6OjrkbXQMjkaj0Wg0xympqakUFhZSVlbWpfupr69vk3ISiOjoaFJTU0Ou3+0KjojkA1WAA7ArpWaKSCLwBpAG5AOXKaWOBNj2WuDX5uKDSqkXj0WfNRqNRqMJByIjI0lPT+/y/WRlZTFt2rQu348nneqiEpE5IrJcRL4TkQvbsOnpSqmpSqmZ5vI9wJdKqQzgS3PZd1+JwO+A2cAs4Hci0r+DImg0Go1GowkDpCN+NxEZpJQq8Vh+E7gBEGClUmpSCG3kAzOVUoc8ynYCmUqpAyIyGMhSSo3x2e5Ks85PzOWnzXqvBdvXzJkzlW9K6M7g/g+3snJbAQkJCZ3edk+ioqJCyxgGaBnDAy1j+HA8yNnPWcmzty7skrZFJNvDQOKmoy6qp0QkG/g/pVQ9UAFcBTiBUOdcV8BnIqKAp5VSzwApSqkDAKaSMzDAdkOB/R7LhWaZFyJyM3AzQEpKCllZWSF2K3QKCxtwOBxUVFR0ets9CS1jeKBlDA+0jOHD8SBnnz6OLnn+tkSHFByl1IUich7wkYi8CNyJoeDEAKG6qOYppYpNJeZzEdkR4nb+048aypJvH58BngHDgpOZmRli86GTmWn4F7ui7Z6EljE80DKGB1rG8OF4kLM7ZOxwDI5S6kNgIZAAvAvsVEo9ppQKKSRbKVVsfpcC72HE0xw0XVOY36UBNi0EhnkspwLF7ZVDo9FoNBpN+NAhBUdEzheRb4HlQA5wBXCRiLwmIieEsH1fEYlz/QbOMtv5ALjWrHYt8H6AzT8FzhKR/mZw8VlmmUaj0Wg0muOcjsbgPAjMBfoAS5VSs4D/EZEM4CEMhaclUoD3RMTVl1eVUstEZC3wpojcCBQAlwKIyEzgFqXUTUqpwyLyB2Ct2dYDSqnDHZRHo9FoNBpNGNBRBecohhLTBw83klIql9aVG5RSe4ApAcrLgQUBytcBN3ksPw88356OazQajUajCV86GoNzEUZAsR0juFij0Wg0Go2m2+noKKpDwD86qS8ajUaj0Wg0nYKebFOj0Wg0Gk3YoRUcjUaj0Wg0YYdWcDQajUaj0YQdWsHRaDQajUYTdmgFR6PRaDQaTdihFRyNRqPRaDRhh1ZwNBqNRqPRhB1awdFoNBqNRhN2aAVHo9FoNBpN2KEVHI1Go9FoNGGHVnA0Go1Go9GEHVrB0Wg0Go1GE3ZoBUej0Wg0Gk3YoRUcjUaj0Wg0YYe1uzsgIhHAOqBIKXWuiHwDxJmrBwJrlFIXBtjOAWwxFwuUUucfkw5rNBqNRqPp8XS7ggPcAWwH+gEopU5xrRCRd4D3g2xXp5Sa2vXd02g0Go1G09voVheViKQCi4F/BVgXB8wH/nus+6XRaDQajaZ3I0qp7tu5yNvAHzFcUr9QSp3rse5HwPlKqUuCbGsHNgJ24GGlVEBFSERuBm4GSElJmfH66693rhAm1dXVxMbGdknbPQUtY3igZQwPtIzhw/EgZ1fKePrpp2crpWb6lnebi0pEzgVKlVLZIpIZoMqVBLDseDBcKVUsIiOB5SKyRSm127eSUuoZ4BmAmTNnqszMQLvqOFlZWXRV2z0FLWN4oGUMD7SM4cPxIGd3yNidLqp5wPkikg+8DswXkf8AiEgSMAv4ONjGSqli83sPkAVM6+L+ajQajUaj6SV0q4vK3QnDguN2UYnILcBcpdS1Qer3B2qVUg0iMgBYBVyglNrWyn7KgH2d2vlmBgCHuqjtnoKWMTzQMoYHWsbw4XiQsytlHKGUSvYt7AmjqAJxBfCwZ4GIzARuUUrdBIwDnhYRJ4YV6uHWlBuAQAegsxCRdYF8gOGEljE80DKGB1rG8OF4kLM7ZOwRCo5SKgvDzeRazgxQZx1wk/l7JTDp2PROo9FoNBpNb0NnMtZoNBqNRhN2aAWn83imuztwDNAyhgdaxvBAyxg+HA9yHnMZe0SQsUaj0Wg0Gk1noi04Go1Go9Fowg6t4HQQEVkkIjtFJE9E7qbhHgYAAAgUSURBVOnu/rQXEXleREpFJMejLFFEPheRXPO7v1kuIvKYKfNmEZnefT0PHREZJiIrRGS7iGwVkTvM8rCRU0SiRWSNiGwyZbzfLE8XkdWmjG+ISJRZbjOX88z1ad3Z/7YgIhEiskFEPjKXw1HGfBHZIiIbRWSdWRY25yuAiCSIyNsissO8NueGk4wiMsb8/1yfShG5M5xkBBCRn5v3nBwRec28F3XrNakVnA4gxkzojwNnA+OBK0VkfPf2qt28ACzyKbsH+FIplQF8aS6DIW+G+bkZePIY9bGj2IG7lFLjgDnAEvP/Cic5G4D5SqkpwFRgkYjMAf4EPGLKeAS40ax/I3BEKTUKeMSs11twTdTrIhxlBDhdKTXVY4htOJ2vAI8Cy5RSY4EpGP9p2MiolNpp/n9TgRlALfAeYSSjiAwFfgbMVEpNBCIw0r107zWplNKfdn6AucCnHsv3Avd2d786IE8akOOxvBMYbP4eDOw0fz8NXBmoXm/6YMxUf2a4ygnEAOuB2RgJtqxmufu8BT7FSKoJRtqIQ5ixeT35A6RiPBTmAx8BEm4ymv3NBwb4lIXN+Qr0A/b6/h/hJKOPXGcB34WbjMBQYD+QaF5jHwELu/ua1BacjuH6U10UmmXhQopS6gCA+T3QLO/1cpsm0WnAasJMTtN1sxEoBT4HdgMVSim7WcVTDreM5vqjQNKx7XG7+DvwS8BpLicRfjICKOAzEckWY+JgCK/zdSRQBvzbdDf+S0T6El4yenIF8Jr5O2xkVEoVAX8BCoADGNdYNt18TWoFp2NIgLLjYVhar5ZbRGKBd4A7lVKVLVUNUNbj5VRKOZRhDk/FmNNtXKBq5nevk1E8Jur1LA5QtdfK6ME8pdR0DLfFEhE5tYW6vVFOKzAdeFIpNQ2oodlVE4jeKCMAZvzJ+cBbrVUNUNajZTTjhy4A0oEhQF+Mc9aXY3pNagWnYxQCwzyWU4HibupLV3BQRAYDmN+lZnmvlVtEIjGUm1eUUu+axWEnJ4BSqgIjQ/gcIEFEXJnLPeVwy2iujwcOH9uethm/iXoxLDrhJCPgNalwKUbcxizC63wtBAqVUqvN5bcxFJ5wktHF2cB6pdRBczmcZDwD2KuUKlNKNQHvAifRzdekVnA6xlogw4wUj8IwP37QzX3qTD4AXBOeXosRs+Iq/5EZ7T8HOOoytfZkRESA54DtSqm/eawKGzlFJFlEEszffTBuPNuBFcAlZjVfGV2yXwIsV6ZjvKeilLpXKZWqlErDuOaWK6WuJoxkBBCRviIS5/qNEb+RQxidr0qpEmC/iIwxixYA2wgjGT24kmb3FISXjAXAHBGJMe+zrv+xe6/J7g5O6u0f4BxgF0acw33d3Z8OyPEahu+0CUO7vhHDJ/olkGt+J5p1BWP02G5gC0bkfLfLEIKMJ2OYQTcDG83POeEkJzAZ2GDKmAP81iwfCawB8jBM5DazPNpczjPXj+xuGdoobybwUTjKaMqzyfxsdd1fwul8Nfv9/9u7nxCryjiM499Hi6goLYJAWwzKgDCmUxNEYgvbVLSo6B9kRFKB/TcpKKJFiyBwlWGLCpSENpUKEqXQH5OalKypGUmInF07a2zIaKFPi/Oap2m8d3COM3V4PjBw7++873vee5h7+fG+h/PrB74u/7M7gEta+BkvAI4A82qxtn3Gl4BD5XdnK3DebH8n8yTjiIiIaJ1sUUVERETrJMGJiIiI1kmCExEREa2TBCciIiJaJwlOREREtE4SnIiYNlUVoR+tvV8g6b2zdK5zJR3o3nJmSeqRNDLb84iIShKciGjCfODvBMf2z7bv7NB+OlYCX56lsSOiJZLgREQTXgEWSxqStKG+miHpAUk7JO2UNCrpcUnrS3HFryRdWtotlvRRKSy5V9KS05zrJuDDeqAUGN0iaUTSsKSnO40p6XJJ2yV9V/5WlPj6MsaIpHUl1iPpB0lvSjooaXd5SjSSBkr/QeCx2nz6JO0v1+N7Sb1NXuyI6C4JTkQ04TngJ9v9tp+d5PhS4F6qWkovA8dcFVccBO4vbd4AnrA9ADwDvH6ac62iqrFV1w8stL3U9pXA5i5jbgT22F5OVfvooKQBYA1wLVX9roclXVXa9wKbbPcBY8AdJb4ZeNL2dRPmsxZ41VXR02uong4eETPonO5NIiKm7VPb48C4pKPAzhIfBpaVCu8rgHerUjZA9aj3f5C0APjF9rEJhw4DiyS9BnwA7O4y5g2UxMr2ceCopJXAdtu/l3NtA66nqpszanuo9D0A9EiaB8y3vafEt3KqgvIg8IKkK4Bttn+c6oWKiGYkwYmImfBn7fWJ2vsTVL9Dc4CxsuLRyc3ArolB279KWg7cSLVVdDewbopjnqQOx+rzPw6cX9pPWuvG9juS9gG3ALskPWT7kynOIyIakC2qiGjCOHDRmXa2/RswKukuqCq/l4Rlon/df1PaXwbMsf0+8CJwdZcxPwYeKfG5ki4GPgduKxWRLwRuB/Z2mPMYp1Z+AFbX5rMIOGx7I9UK0LKpXouIaEYSnIiYNttHgC/KzbkbznCY1cCDkk5Wz761flDSXKDX9qFJ+i4EPpM0BGwBnu8y5lPAKknDVFtOfba/KX33A/uAt2x/22XOa4BN5SbjP2rxe4CRMp8lwNtdxomIhqWaeET8L5SVkvtsr53tuUTEf18SnIiIiGidbFFFRERE6yTBiYiIiNZJghMRERGtkwQnIiIiWicJTkRERLROEpyIiIhonSQ4ERER0Tp/AQf7RStG1KYNAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "results = minimize(model_complete, param_complete, method='nelder-mead')\n", "param_complete = results.x\n", "model_complete(param_complete, plot=True)" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 2, "link": "[2.11.5 Consequences ](https://jckantor.github.io/CBE32338/02.11-TCLab-Lab-2-Fitting.html#2.11.5-Consequences)", "section": "2.11.5 Consequences " } }, "source": [ "## 2.11.5 Consequences " ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "nbpages": { "level": 2, "link": "[2.11.5 Consequences ](https://jckantor.github.io/CBE32338/02.11-TCLab-Lab-2-Fitting.html#2.11.5-Consequences)", "section": "2.11.5 Consequences " } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[23.60707391 6.92707544 1.61783224 0.04676309 0.02633501 0.04303801]\n" ] }, { "data": { "text/plain": [ "4.441799745669341" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def model_complete(param, plot=False):\n", " # access parameter values\n", " T_ambient, Cp_H, Cp_S, Ua, Ub, Uc = param\n", " \n", " P1 = 0.04\n", "\n", " # simulation in deviation variables\n", " u = lambda ti: np.interp(ti, t, Q1)\n", " def deriv(T, ti):\n", " T_H1, T_S1, T_H2, T_S2 = T\n", " dT_H1 = (Ua*(T_ambient - T_H1) + Ub*(T_H2 - T_H1) + Uc*(T_S1 - T_H1) + P1*u(ti))/Cp_H\n", " dT_S1 = Uc*(T_H1 - T_S1)/Cp_S\n", " dT_H2 = (Ua*(T_ambient - T_H2) + Ub*(T_H1 - T_H2) + Uc*(T_S2 - T_H2))/Cp_H\n", " dT_S2 = Uc*(T_H2 - T_S2)/Cp_S\n", " return [dT_H1, dT_S1, dT_H2, dT_S2]\n", " T_pred = odeint(deriv, [T_ambient, T_ambient, T_ambient, T_ambient], t)\n", " T1_pred = T_pred[:,1]\n", " T2_pred = T_pred[:,3]\n", "\n", " # comparing to experimental data\n", " if plot:\n", " print(param)\n", " plot_data(t, T_pred[:,1], T_pred[:,0], Q1)\n", " plot_data(t, T_pred[:,3], T_pred[:,2], Q1)\n", " \n", " return (np.linalg.norm(T1_pred - T1) + np.linalg.norm(T2_pred - T2))/2\n", "\n", "model_complete(param_complete, plot=True)" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 2, "link": "[2.11.6 State-Space Model](https://jckantor.github.io/CBE32338/02.11-TCLab-Lab-2-Fitting.html#2.11.6-State-Space-Model)", "section": "2.11.6 State-Space Model" } }, "source": [ "## 2.11.6 State-Space Model\n", "\n", "Recalling the model equations\n", "\n", "\\begin{align*}\n", "C_p^H \\frac{dT_{H,1}}{dt} & = U_a(T_{amb} - T_{H,1}) + U_b(T_{H,2} - T_{H,1}) + U_c(T_{S,1} - T_{H,1}) + P_1Q_1 \\\\\n", "C_p^S \\frac{dT_{S,1}}{dt} & = U_c(T_{H,1} - T_{S,1}) \\\\\n", "C_p^H \\frac{dT_{H,2}}{dt} & = U_a(T_{amb} - T_{H,2}) + U_b(T_{H,1} - T_{H,2}) + U_c(T_{S,2} - T_{H,2}) + P_2Q_2 \\\\\n", "C_p^S \\frac{dT_{S,2}}{dt} & = U_c(T_{H,2} - T_{S,2}) \n", "\\end{align*}" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 2, "link": "[2.11.6 State-Space Model](https://jckantor.github.io/CBE32338/02.11-TCLab-Lab-2-Fitting.html#2.11.6-State-Space-Model)", "section": "2.11.6 State-Space Model" } }, "source": [ "Normalizing the derivatives\n", "\n", "\\begin{align*}\n", "C_p^H \\frac{dT_{H,1}}{dt} & = -(U_a + U_b + U_c)T_{H,1} + U_c T_{S,1} + U_b T_{H,2} + U_a T_{amb} + P_1Q_1 \\\\\n", "C_p^S \\frac{dT_{S,1}}{dt} & = U_c T_{H,1} - U_c T_{S,1}) \\\\\n", "C_p^H \\frac{dT_{H,2}}{dt} & = U_b T_{H,1} - (U_a + U_b + U_c) T_{H,2} + U_c T_{S,2} + U_aT_{amb} + P_2Q_2 \\\\\n", "C_p^S \\frac{dT_{S,2}}{dt} & = U_c T_{H,2} - U_c T_{S,2}\n", "\\end{align*}" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 2, "link": "[2.11.6 State-Space Model](https://jckantor.github.io/CBE32338/02.11-TCLab-Lab-2-Fitting.html#2.11.6-State-Space-Model)", "section": "2.11.6 State-Space Model" } }, "source": [ "Gathering terms on the right hand side\n", "\n", "\\begin{align*}\n", " \\frac{dT_{H,1}}{dt} & = -\\frac{(U_a + U_b + U_c)}{C_p^H} T_{H,1} + \\frac{U_c}{C_p^H} T_{S,1} + \\frac{U_b}{C_p^H} T_{H,2} + \\frac{U_a}{C_p^H} T_{amb} + \\frac{P_1}{C_p^H} Q_1 \\\\\n", "\\frac{dT_{S,1}}{dt} & = \\frac{U_c}{C_p^S} T_{H,1} - \\frac{U_c}{C_p^S} T_{S,1} \\\\\n", "\\frac{dT_{H,2}}{dt} & = \\frac{U_b}{C_p^H} T_{H,1} - \\frac{(U_a + U_b + U_c)}{C_p^H} T_{H,2} + \\frac{U_c}{C_p^H} T_{S,2} + \\frac{U_a}{C_p^H} T_{amb} + \\frac{P_2}{C_p^H} Q_2 \\\\\n", "\\frac{dT_{S,2}}{dt} & = \\frac{U_c}{C_p^S} T_{H,2} - \\frac{U_c}{C_p^S} T_{S,2}\n", "\\end{align*}" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 2, "link": "[2.11.6 State-Space Model](https://jckantor.github.io/CBE32338/02.11-TCLab-Lab-2-Fitting.html#2.11.6-State-Space-Model)", "section": "2.11.6 State-Space Model" } }, "source": [ "State space model\n", "\n", "$$ \\underbrace{\\begin{bmatrix} \\frac{dT_{H,1}}{dt} \\\\ \\frac{dT_{S,1}}{dt} \\\\ \\frac{T_{H,2}}{dt} \\\\ \\frac{T_{S,2}}{dt} \\end{bmatrix}}_{\\frac{dx}{dt}} = \\underbrace{\\begin{bmatrix} -\\frac{(U_a + U_b + U_c)}{C_p^H} & \\frac{U_c}{C_p^H} & \\frac{U_b}{C_p^H} & 0 \\\\ \\frac{U_c}{C_p^S} & - \\frac{U_c}{C_p^S} & 0 & 0 \\\\ \\frac{U_b}{C_p^H} & 0 & - \\frac{(U_a + U_b + U_c)}{C_p^H} & \\frac{U_c}{C_p^H} \\\\ 0 & 0 & \\frac{U_c}{C_p^S} & - \\frac{U_c}{C_p^S} \\end{bmatrix}}_A\n", "\\underbrace{\\begin{bmatrix} T_{H,1} \\\\ T_{S,1} \\\\ T_{H,2} \\\\ T_{S,2} \\end{bmatrix}}_x + \\underbrace{\\begin{bmatrix} \\frac{P_1}{C_p^H} & 0 \\\\ 0 & 0 \\\\ 0 & \\frac{P_2}{C_p^H} \\\\ 0 & 0 \\end{bmatrix}}_B \\underbrace{\\begin{bmatrix} Q_1 \\\\ Q_2 \\end{bmatrix}}_u + \\underbrace{\\begin{bmatrix} \\frac{U_a}{C_p^H} \\\\ 0 \\\\ \\frac{U_a}{C_p^H} \\\\ 0 \\end{bmatrix}}_E \\underbrace{T_{amb}}_d$$" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 2, "link": "[2.11.6 State-Space Model](https://jckantor.github.io/CBE32338/02.11-TCLab-Lab-2-Fitting.html#2.11.6-State-Space-Model)", "section": "2.11.6 State-Space Model" } }, "source": [ "$$\\underbrace{\\begin{bmatrix} T_1 \\\\ T_2 \\end{bmatrix}}_y = \\underbrace{\\begin{bmatrix} 0 & 1 & 0 & 0 \\\\ 0 & 0 & 0 & 1 \\end{bmatrix}}_C \\underbrace{\\begin{bmatrix} T_{H,1} \\\\ T_{S,1} \\\\ T_{H,2} \\\\ T_{S,2} \\end{bmatrix}}_x + \\underbrace{\\begin{bmatrix} 0 & 0 \\\\ 0 & 0\\end{bmatrix}}_D \\underbrace{\\begin{bmatrix} Q_1 \\\\ Q_2 \\end{bmatrix}}_u$$" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 2, "link": "[2.11.6 State-Space Model](https://jckantor.github.io/CBE32338/02.11-TCLab-Lab-2-Fitting.html#2.11.6-State-Space-Model)", "section": "2.11.6 State-Space Model" } }, "source": [ "Matrix/vector formulation\n", "\n", "\\begin{align*}\n", "\\frac{dx}{dt} & = A x + B u + E d \\\\\n", "y & = C x + D u\n", "\\end{align*}" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "nbpages": { "level": 2, "link": "[2.11.6 State-Space Model](https://jckantor.github.io/CBE32338/02.11-TCLab-Lab-2-Fitting.html#2.11.6-State-Space-Model)", "section": "2.11.6 State-Space Model" } }, "outputs": [], "source": [ "P1 = 0.04\n", "P2 = 0.02\n", "\n", "T_ambient, Cp_H, Cp_S, Ua, Ub, Uc = param_complete\n", "\n", "A = np.array([[-(Ua + Ub + Uc)/Cp_H, Uc/Cp_H, Ub/Cp_H, 0],\n", " [Uc/Cp_S, -Uc/Cp_S, 0, 0],\n", " [Ub/Cp_H, 0, -(Ua + Ub + Uc)/Cp_H, Uc/Cp_H],\n", " [0, 0, Uc/Cp_S, -Uc/Cp_S]])\n", "\n", "B = np.array([[P1/Cp_H, 0], [0, 0], [0, P2/Cp_H], [0, 0]])\n", "\n", "C = np.array([[0, 1, 0, 0], [0, 0, 0, 1]])\n", "\n", "D = np.array([[0, 0], [0, 0]])\n", "\n", "E = np.array([[Ua/Cp_H], [0], [Ua/Cp_H], [0]])" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 2, "link": "[2.11.6 State-Space Model](https://jckantor.github.io/CBE32338/02.11-TCLab-Lab-2-Fitting.html#2.11.6-State-Space-Model)", "section": "2.11.6 State-Space Model" } }, "source": [ "Time constants" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "nbpages": { "level": 2, "link": "[2.11.6 State-Space Model](https://jckantor.github.io/CBE32338/02.11-TCLab-Lab-2-Fitting.html#2.11.6-State-Space-Model)", "section": "2.11.6 State-Space Model" } }, "outputs": [ { "data": { "text/plain": [ "array([191.1942343 , 96.34592497, 27.18108829, 29.12414895])" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "eval, evec = np.linalg.eig(A)\n", "-1/eval" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "nbpages": { "level": 2, "link": "[2.11.6 State-Space Model](https://jckantor.github.io/CBE32338/02.11-TCLab-Lab-2-Fitting.html#2.11.6-State-Space-Model)", "section": "2.11.6 State-Space Model" } }, "outputs": [ { "data": { "text/plain": [ "array([[ 0.44286448, -0.36815989, -0.25289296, -0.19739009],\n", " [ 0.551245 , -0.60370381, 0.66033715, 0.67899717],\n", " [ 0.44286448, 0.36815989, 0.25289296, -0.19739009],\n", " [ 0.551245 , 0.60370381, -0.66033715, 0.67899717]])" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "evec" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "nbpages": { "level": 2, "link": "[2.11.6 State-Space Model](https://jckantor.github.io/CBE32338/02.11-TCLab-Lab-2-Fitting.html#2.11.6-State-Space-Model)", "section": "2.11.6 State-Space Model" } }, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 2, "link": "[2.11.7 Putting to work](https://jckantor.github.io/CBE32338/02.11-TCLab-Lab-2-Fitting.html#2.11.7-Putting-to-work)", "section": "2.11.7 Putting to work" } }, "source": [ "## 2.11.7 Putting to work" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "nbpages": { "level": 2, "link": "[2.11.7 Putting to work](https://jckantor.github.io/CBE32338/02.11-TCLab-Lab-2-Fitting.html#2.11.7-Putting-to-work)", "section": "2.11.7 Putting to work" } }, "outputs": [], "source": [ "from control import *\n", "from control.matlab import *\n" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "nbpages": { "level": 2, "link": "[2.11.7 Putting to work](https://jckantor.github.io/CBE32338/02.11-TCLab-Lab-2-Fitting.html#2.11.7-Putting-to-work)", "section": "2.11.7 Putting to work" } }, "outputs": [], "source": [ "ss = StateSpace(A, B, C, D)" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "nbpages": { "level": 2, "link": "[2.11.7 Putting to work](https://jckantor.github.io/CBE32338/02.11-TCLab-Lab-2-Fitting.html#2.11.7-Putting-to-work)", "section": "2.11.7 Putting to work" } }, "outputs": [ { "data": { "text/plain": [ "A = [[-0.01676553 0.00621301 0.00380175 0. ]\n", " [ 0.02660227 -0.02660227 0. 0. ]\n", " [ 0.00380175 0. -0.01676553 0.00621301]\n", " [ 0. 0. 0.02660227 -0.02660227]]\n", "\n", "B = [[0.00577444 0. ]\n", " [0. 0. ]\n", " [0. 0.00288722]\n", " [0. 0. ]]\n", "\n", "C = [[0. 1. 0. 0.]\n", " [0. 0. 0. 1.]]\n", "\n", "D = [[0. 0.]\n", " [0. 0.]]" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ss" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "nbpages": { "level": 2, "link": "[2.11.7 Putting to work](https://jckantor.github.io/CBE32338/02.11-TCLab-Lab-2-Fitting.html#2.11.7-Putting-to-work)", "section": "2.11.7 Putting to work" } }, "outputs": [ { "data": { "text/plain": [ "[,\n", " ]" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "y,t = step(ss, input=0)\n", "plt.plot(t,y)" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "nbpages": { "level": 2, "link": "[2.11.7 Putting to work](https://jckantor.github.io/CBE32338/02.11-TCLab-Lab-2-Fitting.html#2.11.7-Putting-to-work)", "section": "2.11.7 Putting to work" } }, "outputs": [ { "data": { "text/plain": [ "array([-0.00523028, -0.01037927, -0.03679029, -0.03433577])" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pole(ss)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "nbpages": { "level": 2, "link": "[2.11.7 Putting to work](https://jckantor.github.io/CBE32338/02.11-TCLab-Lab-2-Fitting.html#2.11.7-Putting-to-work)", "section": "2.11.7 Putting to work" } }, "outputs": [ { "data": { "text/latex": [ "$$\\begin{bmatrix}\\frac{0.0001536 s^2}{s^4 + 0.03957 s^3 + 0.0001796 s^2}&\\frac{7.681 \\times 10^{-5} s^2}{s^4 + 0.03957 s^3 + 0.0001796 s^2}\\\\\\frac{5.84 \\times 10^{-7} s + 1.554 \\times 10^{-8}}{s^4 + 0.08674 s^3 + 0.002428 s^2 + 2.358 \\times 10^{-5} s + 6.858 \\times 10^{-8}}&\\frac{7.681 \\times 10^{-5} s^2 + 3.331 \\times 10^{-6} s + 2.156 \\times 10^{-8}}{s^4 + 0.08674 s^3 + 0.002428 s^2 + 2.358 \\times 10^{-5} s + 6.858 \\times 10^{-8}}\\\\ \\end{bmatrix}$$" ], "text/plain": [ "\n", "Input 1 to output 1:\n", " 0.0001536 s^2\n", "---------------------------------\n", "s^4 + 0.03957 s^3 + 0.0001796 s^2\n", "\n", "Input 1 to output 2:\n", " 5.84e-07 s + 1.554e-08\n", "----------------------------------------------------------\n", "s^4 + 0.08674 s^3 + 0.002428 s^2 + 2.358e-05 s + 6.858e-08\n", "\n", "Input 2 to output 1:\n", " 7.681e-05 s^2\n", "---------------------------------\n", "s^4 + 0.03957 s^3 + 0.0001796 s^2\n", "\n", "Input 2 to output 2:\n", " 7.681e-05 s^2 + 3.331e-06 s + 2.156e-08\n", "----------------------------------------------------------\n", "s^4 + 0.08674 s^3 + 0.002428 s^2 + 2.358e-05 s + 6.858e-08" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tf(ss,)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "nbpages": { "level": 2, "link": "[2.11.7 Putting to work](https://jckantor.github.io/CBE32338/02.11-TCLab-Lab-2-Fitting.html#2.11.7-Putting-to-work)", "section": "2.11.7 Putting to work" } }, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 2, "link": "[2.11.7 Putting to work](https://jckantor.github.io/CBE32338/02.11-TCLab-Lab-2-Fitting.html#2.11.7-Putting-to-work)", "section": "2.11.7 Putting to work" } }, "source": [ "\n", "< [2.10 TCLab Lab 2: Model Identification](https://jckantor.github.io/CBE32338/02.10-TCLab-Lab-2-Model-Indentification.html) | [Contents](toc.html) | [3.0 State Estimation](https://jckantor.github.io/CBE32338/03.00-State-Estimation.html) >

\"Open

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