{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "*This notebook contains material from [cbe30338-2021](https://jckantor.github.io/cbe30338-2021);\n", "content is available [on Github](https://github.com/jckantor/cbe30338-2021.git).*\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "< [2.3 First Order Model for a Single Heater](https://jckantor.github.io/cbe30338-2021/02.03-First-Order-Model-for-a-Single-Heater.html) | [Contents](toc.html) | [Tag Index](tag_index.html) | [3.0 Feedback Control](https://jckantor.github.io/cbe30338-2021/03.00-Feedback-Control.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/Model_Data.csv\", \"https://jckantor.github.io/cbe30338-2021/data/Model_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": "[2.4 Model Identification for the Temperature Control Lab](https://jckantor.github.io/cbe30338-2021/02.04-Model-Identification.html#2.4-Model-Identification-for-the-Temperature-Control-Lab)", "section": "2.4 Model Identification for the Temperature Control Lab" } }, "source": [ "# 2.4 Model Identification for the Temperature Control Lab\n", "\n", "Models are essential for feedback control. It may be difficult to understand where and how the model was incorporated into the control system design, and the model may be just a simplistic cause-and-effect understanding of process operation, but be assured that somewhere in the control system is an embedded understanding of process operation.\n", "\n", "The notebook is deep dive in creating models for the dynamic response of the Temperature Control Lab to power inputs and external disturbances. The survey of models include:\n", "\n", "* Empirical models, single-input single-output\n", " * Linear first-order\n", " * Linear first-order with dead-time\n", " \n", "\n", "* Energy balance models\n", " * Single-input, single-output\n", " * First order \n", " * Second order\n", " * Multi-input, multi-output\n", " * Fourth order\n", "\n", "\n", "* State space models" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 2, "link": "[2.4.1 Accessing experimental data](https://jckantor.github.io/cbe30338-2021/02.04-Model-Identification.html#2.4.1-Accessing-experimental-data)", "section": "2.4.1 Accessing experimental data" } }, "source": [ "## 2.4.1 Accessing experimental data\n", "\n", "Data acquired through normal process operation or experimentation will normally be accessed from a process database. Here we demonstrate reading data stored previously stored in a `.csv` file by a process historian." ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 3, "link": "[2.4.1.1 Read data into a Pandas DataFrame](https://jckantor.github.io/cbe30338-2021/02.04-Model-Identification.html#2.4.1.1-Read-data-into-a-Pandas-DataFrame)", "section": "2.4.1.1 Read data into a Pandas DataFrame" } }, "source": [ "### 2.4.1.1 Read data into a Pandas DataFrame\n", "\n", "[Pandas](https://pandas.pydata.org/) is one of the most important and widely used Python libraries for data analysis and manipulation. Here we use the library to access a `.csv` file containing previously collected data from a step test of the Temperature Control Lab." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "nbpages": { "level": 3, "link": "[2.4.1.1 Read data into a Pandas DataFrame](https://jckantor.github.io/cbe30338-2021/02.04-Model-Identification.html#2.4.1.1-Read-data-into-a-Pandas-DataFrame)", "section": "2.4.1.1 Read data into a Pandas DataFrame" } }, "outputs": [ { "data": { "text/html": [ "

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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import pandas as pd\n", "from scipy.optimize import least_squares\n", "\n", "# read data file from the Github repository into a Pandas dataframe\n", "data_location = \"https://jckantor.github.io/cbe30338-2021/data/Model_Data.csv\"\n", "expt = pd.read_csv(data_location)\n", "\n", "# set time index\n", "expt = expt.set_index(\"Time\")\n", "t_expt = expt.index\n", "\n", "# display data in tabular format\n", "display(expt)\n", "\n", "# simple plotting\n", "expt.plot(grid=True, xlabel=\"time / seconds\")" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 3, "link": "[2.4.1.1 Read data into a Pandas DataFrame](https://jckantor.github.io/cbe30338-2021/02.04-Model-Identification.html#2.4.1.1-Read-data-into-a-Pandas-DataFrame)", "section": "2.4.1.1 Read data into a Pandas DataFrame" } }, "source": [ "
\n", "\n", "**Study Question:** \"Break free from Excel\". This exercise demonstrates a technique that you may find useful in your other coursework, particularly the Junior and Senior lab courses. The code cell below contains a link that will export [data stored in a Google Sheet](https://docs.google.com/spreadsheets/d/1rV_oimh-GCYNP-xRP1HNrLvh7P4jZBSmwuqG3VPIaB0/edit?usp=sharing) as a `.csv` file. The file was previously created and share access set for viewing by anyone with a link. Use the Pandas library to read the data into a data frame, display the data table, set the data frame index to the column labeled `Time`, and plot the data. \n", "\n", "
" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "nbpages": { "level": 3, "link": "[2.4.1.1 Read data into a Pandas DataFrame](https://jckantor.github.io/cbe30338-2021/02.04-Model-Identification.html#2.4.1.1-Read-data-into-a-Pandas-DataFrame)", "section": "2.4.1.1 Read data into a Pandas DataFrame" } }, "outputs": [], "source": [ "google_sheet_id = \"1rV_oimh-GCYNP-xRP1HNrLvh7P4jZBSmwuqG3VPIaB0\"\n", "google_csv_download = f\"https://docs.google.com/spreadsheets/d/{google_sheet_id}/gviz/tq?tqx=out:csv\"\n", "\n", "# write your code here" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 2, "link": "[2.4.2 Comparing experimental data to model predictions](https://jckantor.github.io/cbe30338-2021/02.04-Model-Identification.html#2.4.2-Comparing-experimental-data-to-model-predictions)", "section": "2.4.2 Comparing experimental data to model predictions" } }, "source": [ "## 2.4.2 Comparing experimental data to model predictions" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "nbpages": { "level": 2, "link": "[2.4.2 Comparing experimental data to model predictions](https://jckantor.github.io/cbe30338-2021/02.04-Model-Identification.html#2.4.2-Comparing-experimental-data-to-model-predictions)", "section": "2.4.2 Comparing experimental data to model predictions" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# create a function to compare two data sets\n", "def plot_data(expt, pred):\n", " t_expt = expt.index\n", " \n", " # create a 3 x 1 grid of plot axes\n", " fig, ax = plt.subplots(3, 1, figsize=(10,8))\n", " \n", " # first plot axes\n", " ax[0].scatter(t_expt, expt[\"T1\"], label=\"T1 expt\")\n", " ax[0].scatter(t_expt, expt[\"T2\"], label=\"T2 expt\")\n", " ax[0].plot(t_expt, pred[\"T1\"], label=\"T1 pred\")\n", " ax[0].plot(t_expt, pred[\"T2\"], label=\"T2 pred\")\n", " ax[0].set_ylabel(\"deg C\")\n", " ax[0].set_title(\"temperature response\")\n", "\n", " # second plot axes\n", " ax[1].scatter(t_expt, expt[\"Q1\"], label=\"Q1 expt\")\n", " ax[1].scatter(t_expt, expt[\"Q2\"], label=\"Q2 expt\")\n", " ax[1].plot(t_expt, pred[\"Q1\"], label=\"Q1 pred\")\n", " ax[1].plot(t_expt, pred[\"Q2\"], label=\"Q2 pred\")\n", " ax[1].set_ylim([0, 100])\n", " ax[1].set_ylabel(\"percent\")\n", " ax[1].set_title(\"heater power\")\n", " \n", " # third plot axes\n", " ax[2].plot(t_expt, pred[\"T1\"]-expt[\"T1\"], label=\"T1 error\")\n", " ax[2].plot(t_expt, pred[\"T2\"]-expt[\"T2\"], label=\"T1 error\")\n", " ax[2].set_title(\"residuals\")\n", " \n", " # things to do for every plot axes\n", " for a in ax:\n", " a.grid(True)\n", " a.set_xlabel(\"time / seconds\")\n", " a.legend()\n", " \n", " plt.tight_layout()\n", " \n", " return\n", " \n", "# demonstrate by comparing experimental data to itself\n", "plot_data(expt, expt);" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 2, "link": "[2.4.3 Empirical Modeling](https://jckantor.github.io/cbe30338-2021/02.04-Model-Identification.html#2.4.3-Empirical-Modeling)", "section": "2.4.3 Empirical Modeling" } }, "source": [ "## 2.4.3 Empirical Modeling" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 3, "link": "[2.4.3.1 First order gain and time constant](https://jckantor.github.io/cbe30338-2021/02.04-Model-Identification.html#2.4.3.1-First-order-gain-and-time-constant)", "section": "2.4.3.1 First order gain and time constant" } }, "source": [ "### 2.4.3.1 First order gain and time constant\n", "\n", "We previously derived a model for the response T1 of the Temperature Control Lab to a constant input $\\bar{u}_1$ as\n", "\n", "$$\\frac{dT_1}{dt} = -\\frac{1}{\\tau}(T_1 - T_{amb})+ \\frac{K}{\\tau}\\bar{u}_1$$\n", "\n", "where the gain $K$ and the time constant $\\tau$ are given by the\n", "\n", "\\begin{align}\n", "\\tau = \\frac{C_p}{U_a} \\qquad\n", "K = \\frac{\\alpha P_1}{U_a}\n", "\\end{align}\n", "\n", "Assuming the system starts with an initial condition $T_1(0) = T_{amb}$, the solution to the differential equation of the system is \n", "\n", "\\begin{align}\n", "T_1(t) & = T_{amb} + K\\bar{u}_{1}(1 - e^{-(t-t_0)/\\tau})\n", "\\end{align}\n", "\n", "Given estimates of $K$ and $\\tau$, we can construct the preedicted response and compare to the experimental observed response." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "nbpages": { "level": 3, "link": "[2.4.3.1 First order gain and time constant](https://jckantor.github.io/cbe30338-2021/02.04-Model-Identification.html#2.4.3.1-First-order-gain-and-time-constant)", "section": "2.4.3.1 First order gain and time constant" } }, "outputs": [ { "data": { "text/plain": [ "Time\n", "0.0 -0.221000\n", "10.0 2.126065\n", "20.0 3.343731\n", "30.0 4.002544\n", "40.0 4.250999\n", " ... \n", "560.0 -6.895447\n", "570.0 -6.886649\n", "580.0 -6.878689\n", "590.0 -7.096486\n", "600.0 -6.703969\n", "Name: T1, Length: 61, dtype: float64" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# known parameters\n", "T_amb = 21\n", "u1bar = expt[\"Q1\"].mean()\n", "t_expt = expt.index\n", "\n", "# adjustable model parameters\n", "K = 0.5\n", "tau = 100\n", "\n", "# create function to create predictions and return residuals\n", "def model_first_order(param, plot=False):\n", " # unpack list of parameters into variables\n", " K, tau = param\n", " \n", " # create empty prediction data frame\n", " pred = pd.DataFrame(columns=[\"T1\", \"T2\", \"Q1\", \"Q2\"], index=t_expt)\n", " \n", " # calculation prediction\n", " pred[\"T1\"] = T_amb + K*u1bar*(1 - np.exp(-t_expt/tau))\n", " \n", " # plot if desired\n", " if plot:\n", " plot_data(expt, pred)\n", " \n", " # return residual difference between prediction and experiment\n", " return pred[\"T1\"] - expt[\"T1\"]\n", "\n", "# compare prediction to experiment\n", "model_first_order([K, tau], True)" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 3, "link": "[2.4.3.1 First order gain and time constant](https://jckantor.github.io/cbe30338-2021/02.04-Model-Identification.html#2.4.3.1-First-order-gain-and-time-constant)", "section": "2.4.3.1 First order gain and time constant" } }, "source": [ "
\n", "\n", "**Study Question:** By trial and error, attempt to find values for the gain $K$ and time constant $\\tau$ that provide a useful prediction of the experimentally measured response.\n", "\n", "
" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 3, "link": "[2.4.3.1 First order gain and time constant](https://jckantor.github.io/cbe30338-2021/02.04-Model-Identification.html#2.4.3.1-First-order-gain-and-time-constant)", "section": "2.4.3.1 First order gain and time constant" } }, "source": [ "Obviously, it would useful to have some way of finding 'optimal' values for $K$ and $\\tau$. In this cell we use the [`least_squares`](https://docs.scipy.org/doc/scipy/reference/generated/scipy.optimize.least_squares.html) routine from `scipy.optimize` to find optimal values of the parameters." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "nbpages": { "level": 3, "link": "[2.4.3.1 First order gain and time constant](https://jckantor.github.io/cbe30338-2021/02.04-Model-Identification.html#2.4.3.1-First-order-gain-and-time-constant)", "section": "2.4.3.1 First order gain and time constant" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "K = 0.6810786742351254, tau = 196.3595429520904\n" ] }, { "data": { "text/plain": [ "Time\n", "0.0 -0.221000\n", "10.0 1.437844\n", "20.0 2.109734\n", "30.0 2.347839\n", "40.0 2.285121\n", " ... \n", "560.0 0.284868\n", "570.0 0.382487\n", "580.0 0.475259\n", "590.0 0.338425\n", "600.0 0.808213\n", "Name: T1, Length: 61, dtype: float64" ] }, "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 = least_squares(model_first_order, [K, tau])\n", "K, tau = results.x\n", "print(f\"K = {K}, tau = {tau}\")\n", "model_first_order(results.x, True)" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 3, "link": "[2.4.3.2 First order with time delay](https://jckantor.github.io/cbe30338-2021/02.04-Model-Identification.html#2.4.3.2-First-order-with-time-delay)", "section": "2.4.3.2 First order with time delay" } }, "source": [ "### 2.4.3.2 First order with time delay\n", "\n", "A first-order with time delay (or 'dead time') are frequenty used in process control to model the delitreous \n", "\n", "\\begin{align}\n", "T_1(t) & = T_{amb} + K\\bar{u}_{1}(1 - e^{-(t-t_{delay})/\\tau})\n", "\\end{align}\n", "\n", "$$\\frac{dT_1}{dt} = -\\frac{1}{\\tau}T_1 + \\frac{K}{\\tau}u_1(t-t_{delay}) + \\frac{1}{\\tau}T_{amb}$$" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "nbpages": { "level": 3, "link": "[2.4.3.2 First order with time delay](https://jckantor.github.io/cbe30338-2021/02.04-Model-Identification.html#2.4.3.2-First-order-with-time-delay)", "section": "2.4.3.2 First order with time delay" } }, "outputs": [ { "data": { "text/plain": [ "Time\n", "0.0 -0.221000\n", "10.0 -0.253000\n", "20.0 0.746790\n", "30.0 1.267800\n", "40.0 1.447077\n", " ... \n", "560.0 -2.569846\n", "570.0 -2.520390\n", "580.0 -2.474123\n", "590.0 -2.655840\n", "600.0 -2.229349\n", "Name: T1, Length: 61, dtype: float64" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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LNwgzTYss4dXPjmHDhi1yzh3wsAhPRpCdc1v8rzvMbCZwPLDdzNr5R4/bATsqOfZp4GmAgQMHuqFDh5bZn5aWRnx8fAVH1p6srKw6u0ZkZCQxMTF1/hmio6Pp169fnV6jvqSmplL+z4F4R/kIHYfKRTAjvoMnz2ZzxoEDAh2ahzN34tAq97t64nu4ClYYNeDHyVXvd+/k2RWO5HZoHlNmfmlGuRFp8I3k3n9hL4YGfOZg+0HwI+slUlNTubie/m4UFhWzL7+I/fmF7M8vYn+e/31BETn5RezLKySnoMi3L7+I/f7tnPyi0vacgiJyS977t3Pyi8gtLKrWr+7Dw4yYyHCiI8NoEuF7jY4MJyYynBaBbRHhNPFvN/FvR0eGExURVnpsk4gw31dkONH+1yYRYUSVtEeEl76PCg8jLOzAIlT/VoWWUMtHvRfIZhYLhDnnsvzvzwT+DMwCrgIm+1/fru/YQsGUKVO8DkFEGriSwu3SjlncO3l2jaY6NJbVFUL5JjPnfFMI9uUVkp1XSFaur6gt2f751VfklrSVFMAl7aWv+b5pBFURExlO06hwYqJ8BWvJa2JsFMktfAVqU39bdMD+kr5NIsq3lRS8PxfCkeF69II0HF6MILcBZvp/pRABvOKc+9DMvgFeM7NrgY3AaA9iExEJWV6su9tYVlco6Vvbc3LzCovIyi30fxWQnVtIZsn7vID2vEJ+2JjLlB8XkJ3rK3IDi9+CouCGZJtEhBHbJILYJuHERkUQ2ySC+OgI2jaLpqm/rfQ1KpzYJhGlhW1T/76mUeE0jYwgJiqc2CbhREeEVzjCKnI4q/cC2Tm3DuhTQftuYHh9xyMi0hB4ddNaY1pdoSL5hcVk5hawN8f3lRnwmplb+PNrrq8tq/S9r/DNC2KkNjoyjLgmkYQXF9M6PJ+4JhF0TGxKXJMI31d0xM/vm/iK3rgmvmK2dNtf3GoUVqR+hNIybyIih61DjQ57tfxYQ1hdwTlHVl4he/cXkLG/gIycfDL2/1z0ZuzP97f72wL2lf+eltckIoxmMZHER0fQLDqSZjGRdGgR43sfHVG6Lz46gvgmkcQFvI+P9hW3URG+otY3x3LIIT+PiHhPBbKIiMeCGR32avmxkhjqa7mw4mJHZm4BP+3LZ8/+fHZn+1737C9gz/58MvYV+Ld9bSXFb2Fx5VMUYiLDad40koQY39eRSU1p3jSSZtH+Nv++kgK4pF98dATRkXWzYpGIhDYVyLVs9+7dDB/umymybds2wsPDadWqFVlZWRxxxBFs27aNsLAwxo0bxy233FLn8QwdOpQHH3yQgQMPWMFEROpBMPOGgxkd9uqmtZoqKnZk7M/np3357MrOZ/e+PHZn57N7Xz67s/PKFMG+oriAokqK3ajwMJo3jaRF0yiaN42kS6s4WsRG0cLflhCwLyEmkuYxvoJXRa6IVJUK5FqWlJTEkiVLAJg0aRJxcXHceeedbN26la1bt9K/f3+ysrIYMGAAZ5xxBj169KjyNQoLC4mIUOpEQl1trhRRncIXsuhQB3N3C4qK2Z2dz67sPHZm57EzK49d2XnsyspnZ3Yeu7Ly+Gmfrxj+aV8+FdW7ZtA8JpLE2CiSYpvQqWUsA45MJDE2ksTYJj+/No2iRayv8G0aFa41Y0WkXqjKqift2rWjXbt2AMTHx9O9e3c2b958QIE8duxYoqOjWblyJdu3b+df//oXv/zlL5kyZQrvvfceubm57Nu3j3feeYebbrqJ5cuXU1hYyKRJkxg5ciQ5OTlcffXVrFq1iu7du5OTU/EPXhGpmdoaGYbgRoerM8c3NTW1zFrAh5KdV8iOzFx2ZOX5vjJz2VnyPsv3fmdWHnv2F1R4fGxUOC3jm9AyrglHJjWl/5EtaBkXRVJsFIlxTWgZG0VSXBOS4qJo0TSKcK2cICIhqnEXyB9MhG3La/ecbXvBkHtrdIr169ezePFiTjjhhEr3f/755/zwww8MGzaMtWvXAjB//nyWLVtGYmIiv/vd7zjttNN47rnnyMjI4Pjjj+f000/nqaeeomnTpixbtoxly5bRv3//GsUqcripzccl1/ZKEdUd8c0tKGJHZh7bs3LZtjeX7ZklX3lsy8wtLYr35x94w1pURBit45vQOt43ynt8p0RaxvmK4Fb+YrhVXBNaxkfRNKpx/0gRkcOH/jWrZ9nZ2YwaNYpHHnmEZs2aVdjn4osvJiwsjK5du9K5c2e+++47AM444wwSExMB+Pjjj5k1axYPPvggALm5uWzcuJE5c+Zw8803A9C7d2969+5dD59KJPTVZuFb22sI12Q+8P78QrbuzWVrRi5b9+b43u/1vV+7eT/Zcz4mo4IR3yYRYbRNiKZNfDTHdkigTbNoXyHcrAmt4/3v46NpFhOhaQ0icthp3AXy2ZPr5rxZWdU6rKCggFGjRnHZZZdx4YUXVtqv/A+jku3Y2NjSNuccb7zxBt26HXjHuX6YiZQV6msIl8RRviAuLCpmR1YemzNy2JKRQ/oe3+uWjJ8L4b05Bxa/SbFRtGseTcuYMIYe1Y428dG0SYimTbNo2vq/VPiKiFSucRfIIcQ5x7XXXkv37t25/fbbD9r39ddf56qrruLHH39k3bp1dOvWjcWLF5fpM2LECB5//HEef/xxzIzFixfTr18/TjnlFKZOncqwYcNYsWIFy5Ytq8uPJdIghOoawvmFxaWF76Y9+0nfs5/Ne3LYkpHL5owctmXmHrCiQ4umkbRLiCG5RVOOS0mkXfNo2iVE0y4hhnb+Irhk1Qbfuru9gvkWiYhIABXI9WTu3Lm89NJL9OrVi759+wLw97//nV/84hcH9O3WrRunnnoq27dv58knnyQ6OvqAPn/4wx+49dZb6d27N845UlJSePfdd7n++uu5+uqr6d27N3379uX444+v648m4qlgpk54tYZwcbHj+E6JPHRxHzb9tJ9Ne3KYs2Ynr3y9kU179rMtMxcXUP+Ghxltm0XToUUMx3dKpEPzGNo3j6F982iSW8TQLiGG2Cb6Z1tEpK7pX9o6NGnSpNL3Q4YMwbnKF7IPNHjwYB5++OEybWPHjmXs2LGl2zExMTz11FMHHBsTE8O0adOqFa9IQxPs1Im6XEN4c0YOreObcF6f9vy0L59Js1ayYfc+Nvy0n/Sfcsgv+vlRxGbQrlk0yYlNOemoJDq2aEpyixg6Jvpe2zaLJkKPEhYR8ZwKZBEJSbW5jFpNH55x1rFt+X57Fj/u2sf6XftYv3sfP+7aVzr9YUdWHv/98kcA4ppEcERiU7q1ieeMHm04MjGWIxKb0jHRNwJc8thhEREJXSqQQ8yUKVO8DkHEc7W9jFowq0QUFTu2ZOSQ0DSSa4Z04sdd2azftZ8HPlrNba8tKTMVIjE2ik4tYxnUJYmUpFiOTGrKEYm+r8TYKN38JiLSwKlAFpF6Vd8P2ChRskrEvrxC1u3cxw87s/nXx6v5wf9+3a595Bf+PB0iISaSlJaxHJfSgpSWyXRqGUtKUiwpLWNJiIms6bdBRERCmApkEak39fmAjb05BazdkcWa7dl8vz2bNTuyWLsjm617c0v7hhkcmRRL55axnHJ0K45qFctRreLo3CqOxNioWvvcIiLSsKhAFpF6UxcP2MjJL+KhT1azKzuf2Khwkls05f4P0rh1+pLSftGRYXRtHc+JnZPo0jqutBA+IqkpTSLCa/dDiohIg6cCWURqRcnUiUs7ZnHv5Nk1Wm6topHh6IgwLj/xCGYt3cJ3WzNZvS2L77ZllSmki53v0ciDu7Ska+t4jm4TR9fW8SS3iCEsTPOCRUQkOCqQa9nu3bsZPnw4ANu2bSM8PJxWrVoB0L9/f959911at27NihUr6jSO1NRUoqKiGDRoUJ1eRwTKTZ3oWPPl1k45uhVjB6Uw9esNZOYWEhlmFBQ7/vHhasC3XvBRrWLpf2QLfnXCEXRrE0+3tvF0aK5CWEREak4Fci1LSkpiyZIlgG8d5Li4OO68804A5syZw4QJE7jyyivrPI7U1FTi4uJUIEu9qMlya00iwjizZxv+9fFqVm7JZNXWzDLzhNs2i6Zb23iOaRvPMe3i6damGUe1jtXUCBERqTOHfYEczB31teWUU05h/fr1B+2zc+dOxo8fz8aNGwF45JFHGDx4MCNHjmTUqFFceeWVPPXUU8yZM4epU6cydOhQ+vbty4IFC8jMzOS5556jdevWPPnkk4SHh/Pyyy/z+OOPc/LJJ9fJZ5LGr7aeVFdc7OiVnMCo/h2YuWQz+/KKMCCvsJjn564nzOCoVnGc0CmRHu2b0bN9At3bNdPNciIiUu8O6wI52Dvq69Mtt9zCbbfdxpAhQ9i4cSMjRowgLS2Np59+msGDB9OpUyceeughvvrqq9Jj9u3bx7x585gzZw7XXHMNK1asYPz48WVGr0Wqo6ZPqmveNJK/v5/GsvQMVmzOJDuvEPCNGvft2Jye7ZuVFsPHtI0nOlKjwiIi4r3DukAO9tfC9enTTz9l1apVpduZmZlkZWXRpk0b/vznPzNs2DBmzpxJYmJiaZ8xY8YAvhHqzMxMMjIy6jtsaaSC/Tsy7pTO/O29NPKLinl93c9Pituzv4Ap89bTo10zLujXgV7JCfROTqBLqzg9UllERELWYV0gB3tHfX0qLi5m/vz5xMQc+KCD5cuXk5SUxJYtW8q0l39ql57iJcGoydSJzRk5PDNnHUs2ZbB44x62BMwZzis2mkaFc27v9lw56EiObhNPpIphERFpQA7rArkqT+GqL2eeeSZPPPEEd911FwBLliwpnWP8wQcfsHjxYk499VTOPPNMOnXqBMD06dMZNmwYX375JQkJCSQkJBAfH09mZqZnn0NCW7BTJ9olRJcpfgP97f00klvEMCAlkWs7NqffEc3p0a4ZX839gqFDh9b5ZxAREakrh/Wwzl0juhFTbs5jyVO46sKYMWM46aSTWL16NcnJyTz77LMH9HnsscdYuHAhvXv3pkePHjz55JPk5eVx3XXX8dxzz9G+fXseeughrrnmGpxzALRo0YJBgwYxfvz40nOee+65zJw5k759+/LFF1/UyeeRhquyqRP//PA7lm7K4L9frOP6lxeVzhkOFBFm/HpIJ76593S+vOc0Hh/Tj2uHdKL/ES00h1hERBqFw3oEuWSkrK5WsZg0aVKZ7VdfffWQx7Rs2ZLp06cf0L506dLS9+eddx7nnXde6faoUaO4//77y/Q/+uijWbZsWRUjlsagRqtO7M1l5L/nApDcIobTjmlNRHgYc77fyY6sPDrU8UovIiIioeCwLpDBVyTrh700FoeaOrF3fwEL1v9E0ybh7MsrOuD42Khw/nlRHwamtKBNs+h6jV1ERCRUHPYFckOXmprqdQgSQiqbOnHvzOU8NWcd323LxDnfNIkw8z2auURMZDh/u6AX5/RuV89Ri4iIhBbPCmQzCwcWApudc780s0RgOpACrAcuds7t8So+kVATzNSJim46BdiXX0RibCS3nX40J3ZOok/HBD5Yvq3eHpIjIiLSkHg5gnwLkAY0829PBD5zzk02s4n+7Xu8Ck4klFQ2daKwqJgOLZoy74ddfLl2V6XHt0+IZuqvTyzTpulFIiIiFavWKhZm1sXMBlfQfrKZHRXE8cnAOcB/A5pHAi/4378AnF+d2EQao8qmTtw1YxljnvmK/6T+AMCZPdoQVW7N4ZjIcO4+65h6i1VERKShq+4I8iPA7ypoz/HvOzeI4+8G4gPa2jjntgI457aaWetqxibSoBxq6sTu7LxKp0444JkrB3JC50SaRUcGdT4RERE5OCtZS7dKB5mtcM4dW8m+5c65Xgc59pfAL5xzN5jZUOBO/xzkDOdc84B+e5xzLSo4fhwwDqBNmzYDpk2bVmZ/QkICXbp0qfJnqoqioiLCwyte73X37t2lS7Bt376d8PBwWrZsSVZWFh07dmT79u2EhYUxduxYbrjhhjqL8YsvviAqKooTTjihwv1r165l7969dXb9+pSdnU1cXJzXYVRLRk4Bm/fkUFzm76FRGN6EdVnGip1FrM8sxgEx4Y6UeEdKnOOIOEdcJESFh9GtbXxlp/dEQ85HY6NchBblI7QoH6HFq3wMGzZskXNuYPn26o4gH2z9p0M9hm4wcJ6Z/cJ/nmZm9jKw3cza+UeP2wE7KjrYOfc08DTAwIEDXfkndqWlpREfX7cFQ1ZWVqXXiI+PL11/eNKkScTFxXHnnXeydetWtm7dSv/+/cnKymLAgAGce+659OjRo05iXLBgAXFxcZx++ukV7o+OjqZfv351cu36lpqa2mCf3DZ48mw2Z1T0n61Cwgz6H9GCC09oBcC//7eWtIxi0jJ8PWIiw7n/wl4MDbHR4Yacj8ZGuQgtykdoUT5CS6jlo7pP0vvGzK4r32hm1wKLDnagc+63zrlk51wKcCkw2zl3OTALuMrf7Srg7WrGVjXLXoOHj4VJzX2vy16rk8u0a9eO/v37A74iunv37mzevPmAfjt37mTUqFEcd9xxHHfcccyd63tow8iRI3nxxRcBeOqpp7jssssAGDp0KLfeeiuDBg3i2GOPZcGCBaxfv54nn3yShx9+WE/SC1HOOVZu2Vvp1AmAxX84kxnXD+Km4V25aXhXJo/qTYfmMRjQoXkM91/YS1MnRERE6kB1R5BvBWaa2WX8XBAPBKKAC6p5zsnAa/4ieyMwuprnCd6y1+Cdm6HAX6Ts3eTbBuh9cZ1ddv369SxevLjC6Q+33HILt912G0OGDGHjxo2MGDGCtLQ0nn76aQYPHkynTp146KGH+Oqrr0qP2bdvH/PmzWPOnDlcc801rFixgvHjx5eOXos3ys8Fvu30rrSMb8JnaTv4LG07W/bmVnpsh+YxJDSNLNOmVSdERETqR7UKZOfcdmCQmQ0DSuYiv+ecm13F86QCqf73u4Hh1Ymn2j7788/FcYmCHF97HRXI2dnZjBo1ikceeYRmzZodsP/TTz9l1apVpduZmZlkZWXRpk0b/vznPzNs2DBmzpxJYmJiaZ8xY8YAcMopp5CZmUlGRkadxC7Bq2hZtjtn+KbexESGc3LXltx6+tHkFRbx9/e/K7NCRUxkOHeN6OZJ3CIiIlLDdZCdc/8D/ldLsdS/velVa6+hgoICRo0axWWXXcaFF15YYZ/i4mLmz59PTMyBU7mXL19OUlISW7ZsKdNuZgfdlvq1bW8uf5q18oBl2QCSYqOYO/E0oiN/nnccHx2pVSdERERCyOH9qOmEZN+0ioraa5lzjmuvvZbu3btz++23V9rvzDPP5IknnuCuu+4CYMmSJfTt25cFCxbwwQcfsHjxYk499VTOPPNMOnXqBMD06dMZNmwYX375JQkJCSQkJBAfH09mZmatfw6p2Kaf9vPBiq18uGIb327MqLTfT/vyyxTHoKkTIiIioaa6N+k1DsP/CJHlRmojY3zttWzu3Lm89NJLzJ49m759+9K3b1/ef//9A/o99thjLFy4kN69e9OjRw+efPJJ8vLyuO6663juuedo3749Dz30ENdccw0lS/S1aNGCQYMGMX78eJ599lkAzj33XGbOnKmb9OrAW4s3M3jybFImvkfvSR8xZPJsTv7n//j7+9+RV1jMnWceTev4JhUe2775oRZ5EREREa8d3iPIJfOMP/uzb1pFQrKvOK6l+ceTJk0qfT9kyBCCWXO6ZcuWTJ8+/YD2pUuXlr4/77zzStdaBhg1ahT3339/mf5HH3106XJzUnuembOOf3z4HYXFvlxm5haSnVfIyD7tuXNENzomNgUguUXTMnOQQXOLRUTkMLLsteDqq5J+bX8ND0+o1TqsJmpUIJtZFr6HeQXaCywE7nDOravJ+etF74tDIhESurZk5PDesq3MWrqF5ZsPfLhKsYOFG/aUFsdA6ZQJzS0WEZE6UdUCtD77BbtKWGC/tgfp54GajiD/C9gCvAIYvnWN2wKrgeeAoTU8vxxCamqq1yE0Sruy8/hgua8o/mb9HgB6JydU2n9LBesZa26xiEgD1tgK0PrsF+wqYR6sJhasms5BPss595RzLss5l+l/yt0vnHPTgQMeE11fqvP47MOJvj8Vm7ZgI33//DEpE99j4F8/5Q9vryRjfwF3nHE0qXcOZdaEIXSoZA6x5haLiDQQJQ8I27qk8geElRSCezcB7udCsHxfr/odrLAMhX7BrhJWz6uJVUVNC+RiM7vYzML8X4HlvidVWHR0NLt371YRWAnnHLt37yY6+mBPCz98FBU7vlyzi4v+bx4T31xOxv6C0n1NIsK4cVgXbhrelZSWsQDcNaIbMeVWodDcYhGRagj2Sba12a9MAYoK0LrqV9lqYOXbg+3ngZpOsbgMeBT4D76C+CvgcjOLASbU8NzVkpycTHp6Ojt37qyza+Tm5jboAjM6OprkZO//8Hlp7Y4s3vh2M28t3szWvblUtHJ0XmExD3y0usw0Cc0tFhE5hFCeIhDsr/QbQgEazDK1XvUb/sey+YCKVwkLtp8HavqgkHXAuZXs/rIm566uyMjI0vWB60pqair9+vWr02tI7duzL59ZS7fw5rfpLE3fS3iYcerRrbj3nO5MeGVxhcdobrGINFihPDe2tueo1nbhe7gVoLXdL9hVwgL7ASR0bDSrWBwN/B/Qxjl3rJn1Bs5zzv21VqITqaGiYsecNTuZvmATn323nYIiR/d2zfj9Od05r297Wsf7fhNw//vfsbmCYlhzi0Uk5GiEtu5HXhtjAVqf/Ur6BlPolvRLTYUxKw7dv57UdIrFM8BdwFMAzrllZvYKoAJZPLUlI4fXFm7i9YXpbM7IIcx8y7G1jm/Cb07pfMAI8F0jumndYhGpG8Gu86oR2tAZeW2MBWh992vgalogN3XOLTArM4OzsIbnFKmWgqJiZn+3g2kLNvL59zspdtCtTTxR4WHkFxUDsCMrj9++uRxAc4tFpGJ1NeXgYOu8aoS2/kde4eC/0lcBeliraYG8y8yOwr9ihZldBGytcVQiVbBjfzH//PA7Xl+Uzs6sPFrHN+GGoV245LiOXPr0V6XFcYmcgqIDbr4DzS0WafS8mJqgEdrQGqEt6RuCv9KX0FLTAvlG4GngGDPbDPwIXF7jqEQOoajYMfu7Hbw4fz1frMkhzH5gWLfWXHr8EQzr1oqIcN8KhhXdZHewdhFpgEJ5asLhPEIbqlMERIJQG6tYnG5msUCYcy6rdsISqdiefflMX7iJl+ZvKJ1bPKh1EetyYzm3T3vO6NGmTP/2zWN0851IQ+VF4Rvqy3E1pBFakQasWgWymd1eSTsAzrl/1SAmkQOs2LyXF+atZ9bSLeQVFtOldVzp3OKT2jjmLc+tcG6xbr4TCUGhXPiG+nJcGqEVqRfVHUGO9792A44DZvm3zwXm1DQoEYD8wmI+WLGVF+at59uNGcREhnPRgGSuPCmFa6Z8E9TcYt18J1KPGkPh69VNYRqhFQkp1SqQnXP3AZjZx0D/kqkVZjYJeL3WopPD0q7sPF6av4GpX29kV3YenVrG8sdf9mDUgGQSYiKBqs0t1s13IjV0OBW+Xt4UpsJXJGTU9Ca9I4D8gO18IKWG55TD1A87s/nvFz/y+sJNFBY7AJJio7jptC5c2L/sDzvNLRapBSp862dqgog0OGE1PP4lYIGZTTKzPwFfAy/UPCw5XDjn+Grdbn79wjcMf+hzXl+4ybdmoN/uffncO3MFby3eXOa4u0Z0IyYyvEyb5haL+C17DR4+FrYu8b0ue63iPu/c7C9C3c+Fb/m+Byt8A1Wl8K1IRYVvZLn/8FZW+J77mG/qAuZ7Pfexygvf21bApAzfq4pbEalETVex+JuZfQCc7G+62jm3uOZhSWNXWFTM+yu28cycdSzfvJfE2ChuGd6V6d9sYltmbpm+h5pbDFl00NxiEZ9gH0xxOI74iogEqaZTLHDOfQt8WwuxyGEgO6+QaQs28vzc9WzOyKFzy1j+dsGxjOqfTHRkOI99tqbC4w42tzg1NZWbLhtax5GL1LFgpzscqo8KXxGRGqtxgSwSjIz9+Tw3dz1T5v5IZm4hx3dKZNJ5PRl+TGvCwn5+VLnmFkujU1vzfIOdC6zCV0SkxlQgS53akZXLs1/8yMtfbWBffhFn9mjDDcO60Ldj8wr7a91iaVRq8wa3YEeGVfiKiNSYCmSpE5szcnj68x+Y9s0mCoqK+WXv9nRvG8/LX2/kgn/PrXQ9Yq1bLA1GfU93CHZkWIWviEiNqUCWWrV+1z7+L/UH3lycjnMwqn8y44cexdJNGWVGhjdn5FT45LuSbRXE4pnaXPqsNqc7BDsyHOyDKUr6qvAVETmACmSpFWu2Z/HE/9byztItRIaH8avjj2DcqUfRwT93+PL/fl1m2gRUvDqFiKdqe83f2pzuEOzIcEmswTyYQkREKqQCWWpk/a59PPrZGt5aspmmkeFcd3Jnrj25E63jo8v0q8qT70TqhBcrQNTmdIeqTIkQEZEaqfcC2cyigTlAE//1Zzjn/mRmicB0fE/iWw9c7JzbU9/xSXDS9+zn8c/WMuPbdCLDjd+cchS/OaUzLWKjKuyv1SmkzoTqlIjAc9fWPF9NiRARqRdejCDnAac557LNLBL40v+wkQuBz5xzk81sIjARuMeD+OQgtmfm8u//reXVBRsxjCtPOpLrhx51wIhxeVqdQupEKE+JKKGiVkSkwan3Atk554Bs/2ak/8sBI4Gh/vYXgFRUIIeM3dl5PPn5D7w4fwNFxY6Lj+vIhGFdaN88hrcWbz7kqhNanUKqrKFPiRARkQbLfPVqPV/ULBxYBHQB/u2cu8fMMpxzzQP67HHOtajg2HHAOIA2bdoMmDZtWj1F/bPs7Gzi4uLq/bpe2Ffg+PDHAj7eUEB+EQxqH8HILpG0bhoGQEZOAZv35FAc8OcozIwOLWJoHhNZLzEeTvloCA6Zj5w9kLUVivIhPAri20FMiwP77N0ErvjnNgvzrcgQ2Hfrksqv067vz+93rPJdr7zwKGjdo+rxNRD6uxFalI/QonyEFq/yMWzYsEXOuYHl2z25Sc85VwT0NbPmwEwzO7YKxz4NPA0wcOBAN3To0DqJ8WBSU1Px4rr1Ka+wiJfmb+Dxz9eyN6eAc/u055bhXenSuuwf3sGTZ7M5I/yA4zs0D2fuxKH1EuvhkI+G5KD5KD8lAnwjtOc+Vnb09eFjK5nq0BFuC1iV4eEJlfcLXL1h2Y6DXLeSWBsB/d0ILcpHaFE+Qkuo5SPMy4s75zLwTaU4C9huZu0A/K87vIvs8OWc452lWzj9X5/z1/fS6NOxOe/ffDKPj+l3QHEMWp1CAix7zVfYbl3ie1322oF9DjYlIlBVpkRElrvRs7IpEec+5iucMd9r+aJcRETEz4tVLFoBBc65DDOLAU4H/gHMAq4CJvtf367v2A53X6/bzd/fT2Np+l66t2vGS9f24uSurQ56jFanEKDsyHBbGu4qESIiIngzxaId8IJ/HnIY8Jpz7l0zmw+8ZmbXAhuB0R7EdlhauyObyR98x6dp22mXEM2Do/twQb8OvLN0C4Mnzz7oTXVaneIwUJs3y2mVCBERaQC8WMViGdCvgvbdwPD6judwtjMrj0c+/Z5p32wqLWqvHdKJ6Mhw3lq8OahHQ2t1igbMi/WDtUqEiIg0AHqS3mEot6CIZ7/8kf/8by15hcVcfsIR3Dy8K0lxTUr7PPDR6qAfDX1+vw4qiBsar9YP1pQIERFpAFQgH0acc3yWtoO/vLeKDbv3c2aPNkw8+xg6t9LNd41KKK8fDCp8RUQk5KlAPkys25nNn99dRerqnXRpHcfL157AkK4tK+2vm+8aqFB4pDL4VonQlAgREWmgPF3mTepedl4h93+QxohH5rBo/R5+f053Prjl5IMWx+C7+S4msuz6xrr5zmMly6hNal7zZdTKF7iVtQe7jBr4iuHbVvge0HHbChXHIiLSYGkEuZFyzvH2ki3c/0Ea2zPzuGhAMvecdQyt4pvo0dChRjfLiYiIhBQVyI3Qis17mTRrJQs37KFPcgJPXj6Afkf4HpUb7OoUJdsqiOuYbpYTEREJOSqQG5Gs3AIe+Gg1L3+1gRZNo/jHqF6MHtCRsDAr7VOV1SmkhnSznIiISIOkArkRcM7x0cpt/GnWSnZk5XHVSSncdsbRJMREHtBXq1PUk1C4WU5TIkRERKpFBXIDtyUjhz++vZJP07bTo10znr5iIH06Nq+0v1anqAV6spyIiEijpgK5gSoqdrwwbz0PfbyaYge/+8UxJMU24Yap3+rR0HVJN8uJiIg0eiqQG6AVm/fyu5nLWZa+l6HdWvGXkceyaMMePRq6prwYGdbNciIiIiFHBXIDsj+/kIc/+Z7n5q6nRdMoHh/Tj1/2boeZcenTX+nR0JUJ5WXUSs6vwldERCRkqEBuID7/fie/e3M5mzNyGHP8EUw86xgSmv58E55uvqtEQ1hGTUREREKKnqQX4rJyC/jtm8u46rkFxESF8/r4k7j/wl5limOo/Ca7Rn3zXcmT5bYuqfmT5aoyMlzVJ8tNytCT5URERBoQFcghbO7aXZz1yBdM/2YT4089indvGsJxKYkV9j3sHg1dMjJcMppbMjJcvkiuyjJqFaloZPjcxyChI2C+13MfU/ErIiLSiGiKRQjal1fI/R+k8fJXG+ncKpabT+vK64vSeerzHw6PR0NrGTURERHxkArkEPPVut3cNWMp6Xty+PWQThzdJp4/zVrZOB4NHco3y2nOsIiIiPipQA4ROflF/OPD75gybz1HJjXltd+cxHEpiQyePLtxPBq6Idwsp5FhERERQQVySFi4/ifufH0p63fvZ+ygFO4+qxtNo3ypaRCrU9TmlAgtoyYiIiIeU4HsofzCYh76ZDVPz1lHh+YxvHrdiZx0VFKZPp4+GtqLKRHVGRkG381ymhIhIiIitUCrWHhk3c5shj+UylOfr8M536Ojt2fmHtCvTlanKFkebVLzypdHK7NKhKt8lYhgl1ELdpWI6iyj1q6vllETERGRWqMCuZ4553ht4SbOevQLNu35ubDcujeX3765nLcWby7T//x+Hbj/wl50aB6DAR2ax3D/hb0qnn/sReFb2+sHaxk1ERER8ZimWFRFyZSDtr+GhydU/iv9SqYm7M0p4Hczl/Pesq1ERYRxhi3gT5Ev0952scW15J+FF/PAR1EHrk4RPpfzm/wZotOhSTKE/xGo5lSH2p4LrJvlREREpJFRgRysZa9R+PZNRBTlQltg7ybfNpQt5gL78XO/xTvCuHVhItszc7n7rG5899GzTI76L00tH4Bk28XkyP/y20yA08qcL6QLX90sJyIiIo2MplgEaf8Hf/y56PWLKMpl/wd/PGi/QhfGY7nncMmnTYgIN2ZcP4gbhnbhd01eLy2OSzS1fH4b9XrZC9f2VIfangusKREiIiLSyGgEOUjROduCag/c3lTcklsLbmSR68aFYXP4881/I66J71vehl0Vnu+Adq9GfDUlQkRERA5TKpCDtKU4ieSwXbxddBJTfmzH1PzbAch1UUS/uLC0X27ePURbPg74urgHAI9GPsEA+564Jv8o7WeVFLRWvqBV4SsiIiJSr1QgB+m/UZdzd8F/yHSx7MqPJNe1pJgwdlgSbQNWo9hmR9Ha7SaMYk4IS+NPES+SZHv5Z+QNTAo8YbAFrQpfERERkXpV7wWymXUEXsR3q1sx8LRz7lEzSwSmAynAeuBi59ye+o6vMn3PGccfZxZya9g0Oh59Ml2+e5xHuJQhF5xXZtWJtxZv5suZ/+FWptHedrPFJfFHN44h54wre8JgC1oVviIiIiL1yosR5ELgDufct2YWDywys0+AscBnzrnJZjYRmAjc40F8FfIVwTdwyUfDudRlcW/TZ7hrRLcDl2QL6LclI4f2zWMq7AcEX9Cq8BURERGpN/VeIDvntgJb/e+zzCwN6ACMBIb6u70ApBJCBTL4it/z+3UgNTWVmy4besh+IiIiItLwmHPOu4ubpQBzgGOBjc655gH79jjnWlRwzDhgHECbNm0GTJs2rX6CDZCdnU1cXFy9X1cqpnyEFuUjdCgXoUX5CC3KR2jxKh/Dhg1b5JwbWL7ds5v0zCwOeAO41TmXaWZBHeecexp4GmDgwIFu6NChdRZjZVJTU/HiulIx5SO0KB+hQ7kILcpHaFE+Qkuo5cOTAtnMIvEVx1Odc2/6m7ebWTvn3FYzawfsONR5Fi1atMvMNtRlrJVoCZUsZCxeUD5Ci/IROpSL0KJ8hBblI7R4lY8jK2r0YhULA54F0pxz/wrYNQu4Cpjsf337UOdyzrWqkyAPwcwWVjQcL95QPkKL8hE6lIvQonyEFuUjtIRaPrwYQR4MXAEsN7Ml/rbf4SuMXzOza4GNwGgPYhMRERGRw5wXq1h8CVQ24Xh4fcYiIiIiIlJemNcBNFBPex2AlKF8hBblI3QoF6FF+QgtykdoCal8eLrMm4iIiIhIqNEIsoiIiIhIABXIIiIiIiIBVCBXkZmdZWarzWytmU30Op7DgZk9Z2Y7zGxFQFuimX1iZmv8ry0C9v3Wn5/VZjbCm6gbJzPraGb/M7M0M1tpZrf425UPD5hZtJktMLOl/nzc529XPjxiZuFmttjM3vVvKxceMbP1ZrbczJaY2UJ/m/LhETNrbmYzzOw7/8+Qk0I5HyqQq8DMwoF/A2cDPYAxZtbD26gOC1OAs8q1TQQ+c851BT7zb+PPx6VAT/8x//HnTWpHIXCHc647cCJwo/97rnx4Iw84zTnXB+gLnGVmJ6J8eOkWIC1gW7nw1jDnXN+A9XWVD+88CnzonDsG6IPv70nI5kMFctUcD6x1zq1zzuUD04CRHsfU6Dnn5gA/lWseCbzgf/8CcH5A+zTnXJ5z7kdgLb68SS1wzm11zn3rf5+F7x+4DigfnnA+2f7NSP+XQ/nwhJklA+cA/w1oVi5Ci/LhATNrBpyC70FxOOfynXMZhHA+VCBXTQdgU8B2ur9N6l8b59xW8BVtQGt/u3JUT8wsBegHfI3y4Rn/r/SXADuAT5xzyod3HgHuBooD2pQL7zjgYzNbZGbj/G3Khzc6AzuB5/1TkP5rZrGEcD5UIFdNRQ840Tp5oUU5qgdmFge8AdzqnMs8WNcK2pSPWuScK3LO9QWSgePN7NiDdFc+6oiZ/RLY4ZxbFOwhFbQpF7VrsHOuP75pkTea2SkH6at81K0IoD/wf865fsA+/NMpKuF5PlQgV0060DFgOxnY4lEsh7vtZtYOwP+6w9+uHNUxM4vEVxxPdc696W9WPjzm/3VlKr75espH/RsMnGdm6/FNvzvNzF5GufCMc26L/3UHMBPfr+iVD2+kA+n+33ABzMBXMIdsPlQgV803QFcz62RmUfgmkM/yOKbD1SzgKv/7q4C3A9ovNbMmZtYJ6Aos8CC+RsnMDN8csjTn3L8CdikfHjCzVmbW3P8+Bjgd+A7lo945537rnEt2zqXg+9kw2zl3OcqFJ8ws1sziS94DZwIrUD484ZzbBmwys27+puHAKkI4HxH1ebGGzjlXaGYTgI+AcOA559xKj8Nq9MzsVWAo0NLM0oE/AZOB18zsWmAjMBrAObfSzF7D9xevELjROVfkSeCN02DgCmC5f94rwO9QPrzSDnjBf3d3GPCac+5dM5uP8hEq9HfDG22Amb7/0xMBvOKc+9DMvkH58MpNwFT/AOM64Gr8/26FYj70qGkRERERkQCaYiEiIiIiEkAFsoiIiIhIABXIIiIiIiIBVCCLiIiIiARQgSwiIiIiEkAFsohILTGz5mZ2Q8B2ezObUUfXijSzYJ/aVm/MLMXMVngdh4hITahAFhGpPc2B0gLZObfFOXdRHV1rCDCvjs4tInJYU4EsIlJ7JgNHmdkSM3sgcDTVzMaa2Vtm9o6Z/WhmE8zsdjNbbGZfmVmiv99RZvahmS0ysy/M7JhKrnUW8EFgg5mFm9kUM1thZsvN7LaDndPM2pjZTDNb6v8a5G+/3X+OFWZ2q78txczSzOwZM1tpZh/7n96HmQ3wHz8fuDEgnp5mtsD//VhmZl1r8XstIlJnVCCLiNSeicAPzrm+zrm7Kth/LPAr4Hjgb8B+51w/YD5wpb/P08BNzrkBwJ3Afyq51jAgtVxbX6CDc+5Y51wv4PlDnPMx4HPnXB+gP7DSzAbge8LVCcCJwHVm1s/fvyvwb+dcTyADGOVvfx642Tl3Url4xgOPOuf6AgOB9Eo+i4hISNGjpkVE6s//nHNZQJaZ7QXe8bcvB3qbWRwwCHjd/4hcgCblT2Jm7YGfnHP7y+1aB3Q2s8eB94CPD3HO0/AX5v7HuO41syHATOfcPv+13gROBmYBPzrnlviPXQSkmFkC0Nw597m//SXgbP/7+cC9ZpYMvOmcWxPk90lExFMqkEVE6k9ewPvigO1ifP8ehwEZ/hHXgzkb+Kh8o3Nuj5n1AUbgm+pwMXBrkOcsYQfZFxh/ERDj7+8q6uyce8XMvgbOAT4ys18752YHGYeIiGc0xUJEpPZkAfHVPdg5lwn8aGajAcynTwVdD5h/7O/fEghzzr0B/AHof4hzfgZc728PN7NmwBzgfDNramaxwAXAFweJOYOfR54BLguIpzOwzjn3GL4R6N5BfitERDylAllEpJY453YDc/03tz1QzdNcBlxrZkuBlcDIwJ1mFg50dc59V8GxHYBUM1sCTAF+e4hz3gIMM7Pl+KZM9HTOfes/dgHwNfBf59ziQ8R8NfBv/016OQHtlwAr/PEcA7x4iPOIiIQEc67C34yJiEgI8o/UXu6cG+91LCIijZUKZBERERGRAJpiISIiIiISQAWyiIiIiEgAFcgiIiIiIgFUIIuIiIiIBFCBLCIiIiISQAWyiIiIiEgAFcgiIiIiIgFUIIuIiIiIBFCBLCIiIiISQAWyiIiIiEgAFcgiIiIiIgFUIIuI1ICZrTez072OQ0REao8KZBGREGRmY83sS6/jEBE5HKlAFhFphMwswusYDqUhxCgihycVyCIiNdfXzJaZ2V4zm25m0SU7zOyXZrbEzDLMbJ6Z9Q7YN9HMfjCzLDNbZWYX+Nu7A08CJ5lZtpll+NubmNmDZrbRzLab2ZNmFuPfN9TM0s3sHjPbBjxfPkj/qPRcM3vcH+t3ZjY8YH97M5tlZj+Z2Vozu87fHm1mOWbW0r/9ezMrNLNm/u2/mtkjtRGjiEgoUIEsIlJzFwNnAZ2A3sBYADPrDzwH/AZIAp4CZplZE/9xPwAnAwnAfcDLZtbOOZcGjAfmO+finHPN/f3/ARwN9AW6AB2APwbE0RZIBI4ExlUS6wnAOqAl8CfgTTNL9O97FUgH2gMXAX83s+HOuVzgG+BUf79TgA3A4IDtz2sxRhERT6lAFhGpucecc1uccz8B7+ArDgGuA55yzn3tnCtyzr0A5AEnAjjnXvcfV+ycmw6sAY6v6AJmZv7z3eac+8k5lwX8Hbg0oFsx8CfnXJ5zLqeSWHcAjzjnCvzXXA2cY2YdgSHAPc65XOfcEuC/wBX+4z4HTvVPi+gNPObfjgaOA76oxRhFRDyl+V8iIjW3LeD9fnwjsOAbJb3KzG4K2B9Vst/MrgRuB1L8++LwjexWpBXQFFjkq0MBMCA8oM9O/2jvwWx2zrmA7Q3+eNoDJUVt4L6B/vefA/8C+gPLgU+AZ/EV+2udc7vMrHUtxSgi4ikVyCIidWcT8Dfn3N/K7zCzI4FngOH4plIUmdkSfAUlgCt3yC4gB+jpnNtcyfXKH1ORDmZmAUXyEcAsYAuQaGbxAUXyEUDJteYB3YALgM+dc6vM7AjgHH6eXlFbMYqIeEpTLERE6s4zwHgzO8F8Ys3sHDOLB2LxFYs7AczsauDYgGO3A8lmFgXgnCv2n+9h/0gtZtbBzEZUMabWwM1mFmlmo4HuwPvOuU34iuD7/Tfl9QauBab6r78fWATcyM8F8Tx886s/r+UYRUQ8pQJZRKSOOOcW4puT+wSwB1iL/wY+59wq4CFgPr5iuBcwN+Dw2cBKYJuZ7fK33eM/x1dmlgl8im9Utyq+BrriG+39G3CRc263f98YfNM9tgAz8c0V/iTg2M+BSGBBwHY8MCegT23EKCLiKSs7FU1ERBorMxsL/No5N8TrWEREQplGkEVEREREAtRZgWxmz5nZDjNbEdCWaGafmNka/2uLgH2/9S9Mv1rz1URERETEK3U2xcLMTgGygRedc8f62/6JbxmhyWY2EWjhnLvHzHrgW6D+eHxLDX0KHO2cK6qT4EREREREKlFnI8jOuTnAT+WaRwIv+N+/AJwf0D7Nv3D8j/hu8KhwsXwRERERkbpU3+sgt3HObQVwzm0tWQYI36NIvwrol+5vO4CZjcP/eNKYmJgBHTt2rMNwK1ZcXExYmKZvhwrlI7QoH6FDuQgtykdoUT5Ci1f5+P7773c551qVbw+VB4VYBW0Vzv1wzj0NPA0wcOBAt3DhwrqMq0KpqakMHTq03q8rFVM+QovyETqUi9CifIQW5SO0eJUPM9tQUXt9l+rbzawdgP91h789HQgcCk7Gtw6niIiIiEi9qu8CeRZwlf/9VcDbAe2XmlkTM+uEbxH7BRUcLyIiIiJSp+psioWZvQoMBVqaWTrwJ2Ay8JqZXQtsBEYDOOdWmtlrwCqgELhRK1iIiIiIiBfqrEB2zo2pZNfwSvr/Dd9jT0VERETkEAoKCkhPTyc3N9frUGosISGBtLS0Ojt/dHQ0ycnJREZGBtU/VG7SExEREZEqSE9PJz4+npSUFMwqWu+g4cjKyiI+Pr5Ozu2cY/fu3aSnp9OpU6egjtH6JiIiIiINUG5uLklJSQ2+OK5rZkZSUlKVRtpVIIuIiIg0UCqOg1PV75MKZBERERGRACqQRURERKRa0tPTGTlyJF27dqVz585MmDCBvLw8AHbv3s2wYcOIi4tjwoQJ9RZTXFxcjc+hAllEREREqsw5x4UXXsj555/PmjVrWLNmDTk5Odx9992Ab+WIv/zlLzz44IM1vlZhYWGNz1EVWsVCREREpIG7752VrNqSWavn7NG+GX86t2el+2fPnk10dDRXX301AOHh4Tz88MMceeSR/O1vfyMuLo4hQ4awdu3ag14nJSWFCy64gLlz5wLwyiuv0KVLF8aOHUtiYiKLFy+mf//+3HDDDdx4443s3LmTpk2b8swzz3DMMcfw448/8qtf/YrCwkLOOuusWvnsGkEWERERkSpbuXIlAwYMKNPWrFkzUlJSDlkUlxcfH8+CBQuYMGECt956a2n7999/z6effspDDz3EuHHjePzxx1m0aBEPPvggN9xwAwC33HIL119/Pd988w1t27at8ecCjSCLiIiINHgHG+mtK865CleHcM5V+VwXXXQRAGPGjOG2224rbR89ejTh4eFkZ2czb948Ro8eXbqvZK7z3LlzeeONNwC44ooruOeee6p8/fJUIIuIiIhIlfXs2bO0MC2RmZnJ9u3b6datW5XOFVhoB76PjY0FoLi4mObNm7NkyZJDHl8bNMVCRERERKps+PDh7N+/nxdffBGAoqIi7rjjDiZMmEBMTEyVzvXmm28CMH36dE466aQD9jdr1oxOnTrx+uuvA75R6qVLlwIwePBgpk2bBsDUqVOr/XkCqUAWERERkSozM2bOnMmMGTPo2rUrSUlJhIWFce+995b2SUlJ4fbbb2fKlCkkJyezatWqCs+Vl5fHCSecwKOPPsrDDz9cYZ+pU6fy7LPP0qdPH3r27Mnbb78NwKOPPsq///1vjjvuOPbu3Vsrn01TLERERESkWjp27MisWbMAmDdvHmPGjGHRokWlN++tX78+qPOMGzeOv//972XapkyZUma7U6dOfPjhhwcc26lTJ+bPn1+6PXHixCp8goqpQBYRERGRGhs0aBAbNmzwOoxaoQJZRERERDyzfv16srKyvA6jDM1BFhEREREJoAJZRERERCSAJwWymd1mZivNbIWZvWpm0WaWaGafmNka/2sLL2ITERERkcNbvRfIZtYBuBkY6Jw7FggHLgUmAp8557oCn/m3RURERETqlVdTLCKAGDOLAJoCW4CRwAv+/S8A53sTmoiIiIgEIz09nZEjR9K1a1c6d+7MhAkTSh8B/cknnzBgwAB69erFgAEDmD17dr3EFBcXV+NzWHWel13ji5rdAvwNyAE+ds5dZmYZzrnmAX32OOcOmGZhZuOAcQBt2rQZUPLklPqUnZ1dK998qR3KR2hRPkKHchFalI/Q0hjykZCQQJcuXTy7vnOOYcOG8etf/5rLL7+coqIibr75ZmJjY/nnP//J0qVLad26Ne3atWPVqlVccMEFrF69usJzFRUVER4eXum1CgsLiYgIbvG1du3asXXr1gPa165de8CDRIYNG7bIOTewfN96X+bNP7d4JNAJyABeN7PLgz3eOfc08DTAwIED3dChQ+sgyoNLTU3Fi+tKxZSP0KJ8hA7lIrQoH6GlMeQjLS2N+Ph438YHE2Hb8tq9QNtecPbkSnd/9tlnxMbGcv3115e2PfHEExx55JE88MADDBkypLT9+OOPJy8vj6ioKJo0aVLmPCkpKVxwwQXMnTsXgFdeeYUuXbowduxYEhMTWbx4Mf379+eGG27gxhtvZOfOnTRt2pRnnnmGY445hh9//JFf/epXFBYWctZZZwH8/H0JEB0dTb9+/YL66F5MsTgd+NE5t9M5VwC8CQwCtptZOwD/6w4PYhMRERGRIKxcubL0iXklmjVrRkpKCmvXri3T/sYbb9CvX78DiuMS8fHxLFiwgAkTJnDrrbeWtn///fd8+umnPPTQQ4wbN47HH3+cRYsW8eCDD3LDDTcAcMstt3D99dfzzTff0LZt21r5bF48KGQjcKKZNcU3xWI4sBDYB1wFTPa/vu1BbCIiIiINz0FGeuuKcw4zq7A90MqVK7nnnnv4+OOPKz3XRRddBMCYMWO47bbbSttHjx5NeHg42dnZzJs3j9GjR5fuK5nrPHfuXN544w0ArrjiCu65557qfyi/ei+QnXNfm9kM4FugEFiMb8pEHPCamV2Lr4geXflZRERERMRLPXv2LC1MS2RmZrJ9+3a6desG+G7iu+CCC3jxxRc56qijKj1XYKEd+D42NhaA4uJimjdvzpIlSw55fG3wZBUL59yfnHPHOOeOdc5d4ZzLc87tds4Nd8519b/+5EVsIiIiInJow4cPZ//+/bz44ouA70a7O+64gwkTJhATE0NGRgbnnHMO999/P4MHDz7oud58800Apk+fzkknnXTA/mbNmtGpUydef/11wDdKvXTpUgAGDx5MyaINU6dOrZXPpifpiYiIiEiVmRkzZ85kxowZdO3alaSkJMLCwrj33nsB3w17a9eu5S9/+Qt9+/alb9++7NhR8S1meXl5nHDCCTz66KM8/PDDFfaZOnUqzz77LH369KFnz568/bZvNu6jjz7Kv//9b4477rgDVqmoLi/mIIuIiIhII9CxY0dmzZoFwLx58xgzZgyLFi1iwIAB/P73v+f3v/99UOcZN24cf//738u0TZkypcx2p06d+PDDDw84tlOnTsyfP790e+LEmj9rTgWyiIiIiNTYoEGD2LBhg9dh1AoVyCIiIiLimfXr15OVleV1GGVoDrKIiIiISAAVyCIiIiIiAVQgi4iIiIgEUIEsIiIiIhJABbKIiIiIVEt6ejojR46ka9eudO7cmQkTJpQ+Anr37t0MGzaMuLg4JkyYUOexTJkyhS1bttTKuVQgi4iIiBwG3lq8mcGTZ9Np4nsMnjybtxZvrtH5nHNceOGFnH/++axZs4Y1a9aQk5PD3XffDUB0dDR/+ctfePDBB2sj/ENSgSwiIiIiQXtr8WZ+++ZyNmfk4IDNGTn89s3lNSqSZ8+eTXR0NFdffTUA4eHhPPzww7z44otkZ2cTGxvLkCFDiI6OPuh5Fi1axNlnn82AAQMYMWIEW7duZe/evXTr1o3Vq1cDMGbMGJ555hkA4uLiuOOOO+jfvz/Dhw9n586dzJgxg4ULF3LZZZfRt29fcnJyqv25QAWyiIiISKP3wEerySkoKtOWU1DEAx+trvY5V65cyYABA8q0NWvWjJSUFNauXRvUOQoKCrjpppt46aWXWLRoEddccw333nsvCQkJPPHEE4wdO5Zp06axZ88errvuOgD27dtH//79+fbbbzn11FO57777uOiiixg4cCBTp05lyZIlxMTEVPtzgR4UIiIiItLobcmoeES1svZgOOcwswrbg7V69WpWrFjByJEjCQsLo6ioiHbt2gFwxhln8Prrr3PjjTeydOnS0mPCwsK45JJLALj88su58MILq/0ZKqMCWURERKSRa988hs0VFMPtm1d/pLVnz5688cYbZdoyMzPZvn073bp1C+oczjl69uzJxx9/THx8fJl9xcXFpKWlERMTw08//URycnKF56ioSK8pTbEQERERaeTuGtGNmMjwMm0xkeHcNSK4QrYiw4cPZ//+/bz44osAFBUVcccddzBhwoSgpzh069aNnTt38vXXXwO+KRcrV64E4OGHH6Z79+68+uqrXHPNNRQUFAC+wnnGjBkAvPLKKwwZMgSA+Pj4WntktQpkERERkUbu/H4duP/CXnRoHoMBHZrHcP+FvTi/X4dqn9PMmDlzJjNmzKBr164kJSURFhbGvffeW9onJSWF22+/nSlTppCcnMyqVavKnCMqKooZM2bwpz/9iT59+tC3b1/mzZvH999/z3//+18eeughTj75ZE455RT++te/AhAbG1s6/3n27Nn88Y9/BGDs2LGMHz++Vm7S0xQLERERkcPA+f061KggrkjHjh2ZNWsWAPPmzWPMmDEsWrSo9Oa99evXH/Icffv25cMPPzxgikVaWlrp+3/9619l9v3lL3/hL3/5S5m2UaNGMWrUqOp8jAMENYJsZp8F0xYsM2tuZjPM7DszSzOzk8ws0cw+MbM1/tcW1T2/iIiIiNSvQYMGsWHDhgNWtmiIDlogm1m0mSUCLc2shb+ITTSzFKB9Da77KPChc+4YoA+QBkwEPnPOdQU+82+LiIiIiJTKzs6u82scaorFb4Bb8RXDi4CS2wQzgX9X54Jm1gw4BRgL4JzLB/LNbCQw1N/tBSAVuKc61xARERERqS4LZq06M7vJOfd4rVzQrC/wNLAK3+jxIuAWYLNzrnlAvz3OuQOmWZjZOGAcQJs2bQZMmzatNsKqkuzsbOLi4ur9ulIx5SO0KB+hQ7kILcpHaGkM+UhISKBLly5eh1ErioqKCA8PP3THGli7di179+4t0zZs2LBFzrmB5fsGVSADmNkgIIWAUWfn3ItVDc7MBgJfAYOdc1+b2aP4RqRvCqZADjRw4EC3cOHCqoZQY6mpqQwdOrTerysVUz5Ci/IROpSL0KJ8hJbGkI+0tDS6d+/udRi1Iisr64Cb9GpbRd8vM6uwQA5qFQszewk4ClgClDyn0AFVLpCBdCDdOfe1f3sGvvnG282snXNuq5m1A3ZU49wiIiIiIjUS7DrIA/GN+N7gnLvJ/3VzdS7onNsGbDKzkpWph+ObbjELuMrfdhXwdnXOLyIiIiL1Iz09nZEjR9K1a1c6d+7MhAkTyMvLA+CTTz5hwIAB9OrVq3TN4ro0ZcoUtmzZUivnCrZAXgG0rZUr+twETDWzZUBf4O/AZOAMM1sDnOHfFhEREZHasOw1ePhYmNTc97rstRqdzjnHhRdeyPnnn8+aNWtYs2YNOTk53H333QC0bNmSd955h+XLl/PCCy9wxRVX1MKHqJwXBXJLYJWZfWRms0q+qntR59wS59xA51xv59z5zrk9zrndzrnhzrmu/tefqnt+EREREQmw7DV452bYuwlwvtd3bq5RkTx79myio6O5+uqrAQgPD+fhhx/mxRdfJDs7m379+tG+vW9V4J49e5Kbm1s6uhxo0aJFnH322QwYMIARI0awdetW9u7dS7du3Vi9ejUAY8aM4ZlnngEgLi6OO+64g/79+zN8+HB27tzJjBkzWLhwIZdddlmtPEkv2AJ5EnA+vpHehwK+RERERCTUffZnKChXNBbk+NqrqeRxz4GaNWtGSkoKa9euLdP+xhtv0K9fP5o0aVI2hIICbrrpJl566SUWLVrENddcw7333ktCQgJPPPEEY8eOZdq0aezZs4frrrsOgH379tG/f3++/fZbTj31VO677z4uuugiBg4cyNSpU1myZAkxMTHV/lwQ5E16zrnPzexIoKtz7lMzawrU7VocIiIiIlI79qZXrT0IzjnMrML2QCtXruSee+7h448/PqDv6tWrWbFiBSNHjiQsLIyioiLatWsHwBlnnMHrr7/OjTfeyNKlS0uPCQsL45JLLgHg8ssv58ILL6z2Z6hMsKtYXIdv7eFEfKtZdACexHeDnYiIiIiEsoRk//SKCtqrqWfPnrzxxhtl2jIzM9m+fTvduvnWYkhPT+eCCy7gxRdf5KijjjrgHM45evbsyccff3zAMm/FxcWkpaURExPDTz/9RHJyxbFWVKTXVLBTLG4EBuNbrxjn3Bqgda1HIyIiIiK1b/gfIbLctIPIGF97dU85fDj79+/nxRd9q/4WFRVxxx13MGHCBGJiYsjIyOCcc87h/vvvZ/DgwRWeo1u3buzcuZOvv/at/ltQUMDKlSsBePjhh+nevTuvvvoq11xzDQUFBYCvcJ4xYwYAr7zyCkOGDAEgPj6erKysan+eQME+Se9r59wJZrbYOdfPzCKAb51zvWslimqq7weFvLV4Mw98tJpLO2YxbVM8d43oxvn9OlTab0tGDu2bx6hfHfdTPkKrn/JRd/2Ui4bdT/kIrX6NIR8JeTtISu5EVHgYbRKiadE06oB+e/bns31vLvlFxSSte5u2C/9JeOZm38jx8D9C74sP6Bfs+aLCwyjI2sm9d95GWloaO3fu5JJLLuGpp55iz/58Jt33F55+/F+kdDqKiHAjPMz4+OOPad26dZnzpc5dwD//eDd7MrPAFXHHbbdx6qmnMnLkSBYsWEB8fDy333478fHx3HfffcTFxXHbbbfx/vvvk5CQwPTp02nVqhVvvPEGv/vd74iJiWH+/PkHzEOuyoNCgi2Q/wlkAFfiW6LtBmCVc+7eQx5ch+qzQH5r8WZ+++ZycgqKuKNXIQ8tjyAmMpz7L+xV5g9uYL8S6le3/ZSP0OqnfNRNP+Wi4fdTPkKrX2PIx2Nnt6bNEZ0BCDOjQ4uYMkXtnv35bN6TQ3FArVeX/ebNm8eYMWOY8sp0WqV0r9L52sTA9pyK+5UXFxdHdnZ2pfsrU5UCOdgpFhOBncBy4DfA+8DvqxxZA/bAR6vL/IEFyCko4oGPVquf+qmf+tV5v1COTf3UT/2871fsHNv35pZp2743t0yRWtf9Bg0axIYNG2jXuUetXtcLQd2kB8QAzznnngEws3B/2/66CizUbMmoeD298u3qp37qp3510S+UY1M/9VO/0OiXX1R80O2G2q+86oweV1WwI8if4SuIS8QAn9Z+OKGrffOK19Mr365+6qd+6lcX/UI5NvVTP/Xzpp/DlVlSLSq8bFlXfruh9qsNwUwpDhRsBNHOudJy3f++aZWu1MDdNaIbMZFll36OiQznrhHd1E/91E/96rxfKMemfuqnft7025BRQOH+TJxzhJnRJiG6TL82CdGElVsCrSH2qynnHLt37yY6OvjzBjvFYp+Z9XfOfQtgZgOAisf3G6mSyfG+eUBZdKjkztLAfge7A1X9aq+f8hFa/ZSPuumnXDT8fspHaPVrDPn4v9nfY2ylc+JPJMREsC0zgm2UlZdfSGZOIUXFjvAwo1mI9suJKGZ/YVil/WoqOjq60nWUKxLsKhYDgenAFn9TO+AS59yi6gRZW+p7mbcSqampDB06tN6vKxVTPkKL8hE6lIvQonyEFuUjtHiVj8pWsTjkCLL/hryTgWOAboAB3znnCmo9ShERERERjx1yDrJzrggY6ZwrcM6tcM4tV3EsIiIiIo1VsHOQ55rZE/imWewraSyZkywiIiIi0lgEWyAP8r/+OaDNAafVbjgiIiIiIt4KqkB2zg2r60BEREREREJBUOsgm1kbM3vWzD7wb/cws2trcmEzCzezxWb2rn870cw+MbM1/tcWNTm/iIiIiEh1BPugkCnAR0B7//b3wK01vPYtQFrA9kTgM+dcV3xP7ptYw/OLiIiIiFRZsAVyS+fca0AxgHOuECiq7kXNLBk4B/hvQPNI4AX/+xeA86t7fhERERGR6gr2QSGpwCjgE+dcfzM7EfiHc+7Ual3UbAZwPxAP3Omc+6WZZTjnmgf02eOcO2CahZmNA8YBtGnTZsC0adOqE0KNZGdnExcXV+/XlYopH6FF+QgdykVoUT5Ci/IRWrzKx7Bhw6r3oBC/24FZQGczmwu0Ai6qTiBm9ktgh3NukZkNrerxzrmngafB9yQ9L566oqfvhBblI7QoH6FDuQgtykdoUT5CS6jlI9gCeRUwE9gPZAFv4ZuHXB2DgfPM7BdANNDMzF4GtptZO+fcVjNrB+yo5vlFRERERKot2DnIL+J71PTfgceBrsBL1bmgc+63zrlk51wKcCkw2zl3Ob4R6qv83a4C3q7O+UVEREREaiLYEeRuzrk+Adv/M7OltRzLZOA1//JxG4HRtXx+EREREZFDCrZAXmxmJzrnvgIwsxOAuTW9uHMuFUj1v98NDK/pOUVEREREaiLYAvkE4Eoz2+jfPgJIM7PlgHPO9a6T6ERERERE6lmwBfJZdRqFiIiIiEiICKpAds5tqOtARERERERCQbCrWIiIiIiIHBZUIIuIiIiIBFCBLCIiIiISQAWyiIiIiEgAFcgiIiIiIgFUIIuIiIiIBFCBLCIiIiISQAWyiIiIiEgAFcgiIiIiIgFUIIuIiIiIBFCBLCIiIiISQAWyiIiIiEgAFcgiIiIiIgFUIIuIiIiIBKj3AtnMOprZ/8wszcxWmtkt/vZEM/vEzNb4X1vUd2wiIiIiIl6MIBcCdzjnugMnAjeaWQ9gIvCZc64r8Jl/W0RERESkXtV7geyc2+qc+9b/PgtIAzoAI4EX/N1eAM6v79hERERERMw5593FzVKAOcCxwEbnXPOAfXuccwdMszCzccA4gDZt2gyYNm1a/QQbIDs7m7i4uHq/rlRM+QgtykfoUC5Ci/IRWpSP0OJVPoYNG7bIOTewfHtEvUfiZ2ZxwBvArc65TDML6jjn3NPA0wADBw50Q4cOrbMYK5OamooX15WKKR+hRfkIHcpFaFE+QovyEVpCLR+erGJhZpH4iuOpzrk3/c3bzaydf387YIcXsYmIiIjI4c2LVSwMeBZIc879K2DXLOAq//urgLfrOzYRERERES+mWAwGrgCWm9kSf9vvgMnAa2Z2LbARGO1BbCIiIiJymKv3Atk59yVQ2YTj4fUZi4iIiIhIeXqSnoiIiIhIABXIIiIiIiIBVCCLiIiIiARQgSwiIiIiEkAFsoiIiIhIABXIIiIiIiIBVCCLiIiIiARQgSwiIiIiEkAFsoiIiIhIABXIIiIiIiIBVCCLiIiIiARQgSwiIiIiEkAFsoiIiIhIABXIIiIiIiIBVCCLiIiIiARQgSwiIiIiEkAFsoiIiIhIgJArkM3sLDNbbWZrzWyi1/GUsew1ePhY2LrE97rstYP3m9Rc/eqjn/IRWv2Uj7rrp1w07H7KR2j1Uz5Cq9+h8lHPIrwOIJCZhQP/Bs4A0oFvzGyWc26Vt5HhS9g7N0NBDrQF9m7ybQP0vrjifqhfvfRTPkKrn/JRN/2Ui4bfT/kIrX7KR2j1O1g+PBBqI8jHA2udc+ucc/nANGCkxzH5fPbnnxNdoiDH165+6qd+6lfX/UI5NvVTP/VTv7rs5wFzznkdQykzuwg4yzn3a//2FcAJzrkJAX3GAeP8m92A1fUR24B2YQNK3u/c72jV1Er3LdpavKiifuWpX930Uz5Cq5/yUTf9lIuG30/5CK1+ykdo9TtYPurYkc65VuUbQ61AHg2MKFcgH++cu8nbyMoys4XOuYFexyE+ykdoUT5Ch3IRWpSP0KJ8hJZQy0eoTbFIBzoGbCcDWzyKRUREREQOQ6FWIH8DdDWzTmYWBVwKzPI4JhERERE5jITUKhbOuUIzmwB8BIQDzznnVnocVkWe9joAKUP5CC3KR+hQLkKL8hFalI/QElL5CKk5yCIiIiIiXgu1KRYiIiIiIp5SgSwiIiIiEkAFchWF9KOwGykze87MdpjZioC2RDP7xMzW+F9bBOz7rT8/q81shDdRN05m1tHM/mdmaWa20sxu8bcrHx4ws2gzW2BmS/35uM/frnx4xMzCzWyxmb3r31YuPGJm681suZktMbOF/jblwyNm1tzMZpjZd/6fISeFcj5UIFdBwKOwzwZ6AGPMrIe3UR0WpgBnlWubCHzmnOsKfObfxp+PS4Ge/mP+48+b1I5C4A7nXHfgROBG//dc+fBGHnCac64P0Bc4y8xORPnw0i1AWsC2cuGtYc65vgHr6yof3nkU+NA5dwzQB9/fk5DNhwrkqgndR2E3Ys65OcBP5ZpHAi/4378AnB/QPs05l+ec+xFYiy9vUgucc1udc9/632fh+weuA8qHJ5xPtn8z0v/lUD48YWbJwDnAfwOalYvQonx4wMyaAacAzwI45/KdcxmEcD5UIFdNB2BTwHa6v03qXxvn3FbwFW1Aa3+7clRPzCwF6Ad8jfLhGf+v9JcAO4BPnHPKh3ceAe4GigPalAvvOOBjM1tkZuP8bcqHNzoDO4Hn/VOQ/mtmsYRwPlQgV41V0KZ18kKLclQPzCwOeAO41TmXebCuFbQpH7XIOVfknOuL78mjx5vZsQfprnzUETP7JbDDObco2EMqaFMuatdg51x/fNMibzSzUw7SV/moWxFAf+D/nHP9gH34p1NUwvN8qECuGj0KO3RsN7N2AP7XHf525aiOmVkkvuJ4qnPuTX+z8uEx/68rU/HN11M+6t9g4DwzW49v+t1pZvYyyoVnnHNb/K87gJn4fkWvfHgjHUj3/4YLYAa+gjlk86ECuWr0KOzQMQu4yv/+KuDtgPZLzayJmXUCugILPIivUTIzwzeHLM0596+AXcqHB8yslZk197+PAU4HvkP5qHfOud8655Kdcyn4fjbMds5djnLhCTOLNbP4kvfAmcAKlA9POOe2AZvMrJu/aTiwihDOR0g9ajrUNaBHYTcqZvYqMBRoaWbpwJ+AycBrZnYtsBEYDeCcW2lmr+H7i1cI3OicK/Ik8MZpMHAFsNw/7xXgdygfXmkHvOC/uzsMeM05966ZzUf5CBX6u+GNNsBM3//piQBecc59aGbfoHx45SZgqn+AcR1wNf5/t0IxH3rUtIiIiIhIAE2xEBEREREJoAJZRERERCSACmQRERERkQAqkEVEREREAqhAFhEREREJoAJZRKSWmFlzM7shYLu9mc2oo2tFmlmwT22rN2aWYmYrvI5DRKQmVCCLiNSe5kBpgeyc2+Kcu6iOrjUEmFdH5xYROaypQBYRqT2TgaPMbImZPRA4mmpmY83sLTN7x8x+NLMJZna7mS02s6/MLNHf7ygz+9DMFpnZF2Z2TCXXOgv4ILDBzMLNbIqZrTCz5WZ228HOaWZtzGymmS31fw3yt9/uP8cKM7vV35ZiZmlm9oyZrTSzj/1P78PMBviPnw/cGBBPTzNb4P9+LDOzrrX4vRYRqTMqkEVEas9E4AfnXF/n3F0V7D8W+BVwPPA3YL9zrh8wH7jS3+dp4Cbn3ADgTuA/lVxrGJBarq0v0ME5d6xzrhfw/CHO+RjwuXOuD9AfWGlmA/A94eoE4ETgOjPr5+/fFfi3c64nkAGM8rc/D9zsnDupXDzjgUedc32BgUB6JZ9FRCSk6FHTIiL153/OuSwgy8z2Au/425cDvc0sDhgEvO5/RC5Ak/InMbP2wE/Ouf3ldq0DOpvZ48B7wMeHOOdp+Atz/2Nc95rZEGCmc26f/1pvAicDs4AfnXNL/McuAlLMLAFo7pz73N/+EnC2//184F4zSwbedM6tCfL7JCLiKRXIIiL1Jy/gfXHAdjG+f4/DgAz/iOvBnA18VL7RObfHzPoAI/BNdbgYuDXIc5awg+wLjL8IiPH3dxV1ds69YmZfA+cAH5nZr51zs4OMQ0TEM5piISJSe7KA+Ooe7JzLBH40s9EA5tOngq4HzD/2928JhDnn3gD+APQ/xDk/A673t4ebWTNgDnC+mTU1s1jgAuCLg8Scwc8jzwCXBcTTGVjnnHsM3wh07yC/FSIinlKBLCJSS5xzu4G5/pvbHqjmaS4DrjWzpcBKYGTgTjMLB7o6576r4NgOQKqZLQGmAL89xDlvAYaZ2XJ8UyZ6Oue+9R+7APga+K9zbvEhYr4a+Lf/Jr2cgPZLgBX+eI4BXjzEeUREQoI5V+FvxkREJAT5R2ovd86N9zoWEZHGSgWyiIiIiEgATbEQEREREQmgAllEREREJIAKZBERERGRACqQRUREREQCqEAWEREREQmgAllEREREJIAKZBERERGRACqQRUREREQCqEAWEREREQmgAllEREREJIAKZBERERGRACqQRUQaIDO7zMw+Psj+VDP7dS1cZ6iZpdf0PCIiDYkKZBGRBsg5N9U5d6bXcYiINEYqkEVEPGRmEV7HICIiZalAFhGpZ2a23szuMbNlwD4zG2Jm88wsw8yWmtnQgL5jzWydmWWZ2Y9mdllA+5cB/c4ws+/MbK+ZPQFYwL5JZvZywHaKmbmS4tzMrjazNP811pnZbw4S+z1mttnfd7WZDa/N742ISChQgSwi4o0xwDlAZ+Bt4K9AInAn8IaZtTKzWOAx4GznXDwwCFhS/kRm1hJ4A/g90BL4ARhchVh2AL8EmgFXAw+bWf8KrtMNmAAc549nBLC+CtcREWkQVCCLiHjjMefcJuBy4H3n3PvOuWLn3CfAQuAX/n7FwLFmFuOc2+qcW1nBuX4BrHLOzXDOFQCPANuCDcQ5955z7gfn8znwMXByBV2LgCZADzOLdM6td879EOx1REQaChXIIiLe2OR/PRIY7Z9ekWFmGcAQoJ1zbh9wCTAe2Gpm75nZMRWcq33A+XDOucDtQzGzs83sKzP7yX/9X+AbiS7DObcWuBWYBOwws2lm1j7Y64iINBQqkEVEvOH8r5uAl5xzzQO+Yp1zkwGccx85584A2gHfAc9UcK6tQMeSDTOzwG1gH9A0YLttQN8m+KZnPAi0cc41B94nYA5zmaCde8U5NwRfYe+AfwT/kUVEGgYVyCIi3noZONfMRphZuJlF+9ceTjazNmZ2nn8uch6QjW+aQ3nvAT3N7EL/jXc3E1AE45u3fIqZHWFmCcBvA/ZF4Zs2sRMoNLOzgQqXjzOzbmZ2mr+ozgVyKolHRKRBU4EsIuIh/zzkkcDv8BWpm4C78P37HAbcAWwBfgJOBW6o4By7gNHAZGA30BWYG7D/E2A6sAxYBLwbsC8LX0H9GrAH+BUwq5Jwm/ivsQvfHOfW/rhFRBoV801VExERERER0AiyiIiIiEgZKpBFRERERAKoQBYRERERCaACWUREREQkQITXAdREy5YtXUpKSr1fd9++fcTGxtb7daViykdoUT5Ch3IRWpSP0KJ8hBav8rFo0aJdzrlW5dsbdIGckpLCwoUL6/26qampDB06tN6vKxVTPkKL8hE6lIvQonyEFuUjtHiVDzPbUFG7pliIiIiIiARQgSwiIiIiEkAFsoiIiIhIgAY9B1mqp6jYMXPxZlZvy6Rrm3i6t21G1zZxREeGex2aiIiIBKmgoID09HRyc3O9DqXGEhISSEtLq7PzR0dHk5ycTGRkZFD9VSAfRpxzpK7eyeQPvmP19iwiwozCYt+jxsMMOreK45i28XRv14xj2sZzTLtmtE+Ixsw8jlxERETKS09PJz4+npSUlAb/szorK4v4+Pg6Obdzjt27d5Oenk6nTp2COkYF8mFiefpe7v8gjXk/7CYlqSn/uaw/I3q2ZcPufXy3LYvvtmaSti2LpekZvLtsa+lx8dERDDiyBef2bs+IY9sS10R/ZEREREJBbm5uoyiO65qZkZSUxM6dO4M+RtVOI7fpp/08+PFq3l6yhcTYKO47rydjjj+CqAjf9PPOreLo3CqOX/RqV3pMVm4B32/PIm1rFmlbM/n8+53c8fpSfjdzOaf3aMP5fTtw6tGtSs8hIiIi3lBxHJyqfp9UIDdSGfvz+ff/1vLCvA2YwY3DjuI3px5Fs+hDz72Jj45kwJGJDDgyEfD9auLbjXt4e8kW3l22lfeWbSUhJpJf9GrLyL4dOD4lkbAw/QUVERGRxkEFciOTW1DEi/PX88TstWTlFXJR/2RuP/No2iXEVPucZlZaMP/hlz34cu0u3l68mbeXbOHVBZtolxDNeX3ac2H/ZLq1rZv5QyIiIhJadu/ezfDhwwHYtm0b4eHhtGrleyhd//79effdd2ndujUrVqzwMsxqUYHcSOQWFDH9m038X+oPbMvMZWi3Vkw8+xiOadusVq8TGR7GsG6tGdatNfvzC/lk1XZmLdnCs1/+yFNz1nFCp0SuHpzC6d3bEBGuKRgiIiKNVVJSEkuWLAFg0qRJxMXFceeddwIwZ84cJkyYwJVXXlmjaxQWFhIREVHpdrDHVZUK5AYut6CIVxds5MnPf2B7Zh7HpbTgXxf3YVCXlnV+7aZREYzs24GRfTvw0758Xl+4iRfnb2D8y9/SPiGay086kkuPO4LE2Kg6j0VERERCxymnnML69esP2mfnzp2MHz+ejRs3UlRUxOOPP87gwYOZNGkSW7ZsYf369bRs2ZKjjz66zPb999/PNddcw86dO2nVqhXPP/88RxxxBGPHjiUxMZHFixfTv39/HnrooWrHrwK5gcotKGLq177CeGdWHid0SuThS/pyUuckTybsJ8ZG8ZtTj+LXJ3fm07TtvDBvPf/8cDWPfLqGkX3ac9WgFI7tkFDvcYmIiBwO7ntnJau2ZNbqOXu0b8afzu1Zq+cMdMstt3DbbbcxZMgQVq1axahRo0rXQl60aBFffvklMTExTJo0qcz2ueeey5VXXslVV13Fc889x80338xbb70FwPfff8+nn35KeHjNnu2gArmByckvYurXG3jy83Xsys7jxM6JPHZpP046Ksnr0AAIDzNG9GzLiJ5t+X57Fi/MW8+b327m9UXpDDyyBVcNSuGsY9sSqekXIiIih7VPP/2UVatWAVBcXExmZiZZWVkAnHfeecTE/Hz/VOD2/PnzefPNNwG44ooruPvuu0v7jR49usbFMahAbjByC4p4af4GnprzA7uy8xl0VBL//lU/TugcGoVxRY5uE8/fLujF3WcdUzr94qZXF9OrQwJTrzshqBU1RERE5NDqcqS3rhQXFzN//nxiYmIOeFBIbGxsmb7ltwMF/ub8YP2qQsN4DYBzjutfXsTf3k/jmLbNeH38Sbxy3YkhXRwHSoiJ5Ncnd+Z/dw7l0Uv7krY1k3EvLiS3oMjr0ERERMQjZ555Jk888UTpdskNf4cyaNAgpk2bBsDUqVMZMmRIrcemArkBmPr1Rv63eie/P6c7L//6BI5LSfQ6pGoJDzNG9u3Ag6P78NW6n7h12hKK/I+6FhERkcZjzJgxnHTSSaxevZrk5GSeffbZA/o89thjLFy4kN69e3Pcccfx5JNPBnXuxx57jOeff57evXvz0ksv8eijj9Z2+JpiEep+3LWPv72XxsldW3LN4OCeHx7qzu/nW/Xiz++u4vdvreDvFxyrJwGJiIg0YJMmTSqz/eqrrx7ymJYtWzJ9+nSAMlMsyp+r/HZKSgqzZ88+4HxTpkwJOt5DUYEcwgqLirlt+hIiw40HLurTqJ5Wd82QTuzKzuM/qT/QKi6K28/s5nVIIiIiIoAK5JD2f6k/sGRTBo+N6UfbhGivw6l1d43oxu7sfB6bvZbE2CjGNpIRchEREWnYQmoOspk9Z2Y7zKzhPZOwli1P38ujn63h3D7tOa9Pe6/DqRNmxt8uOJYze7ThvndXMWvpFq9DEhEREQmtAhmYApzldRBeyy0o4tbpi2kZ14S/jGx4y7ZURUR4GI+N6cdxKYnc8doSvliz0+uQRERE5DAXUgWyc24O8JPXcXht8gff8cPOfTwwujfNmzb+xzRHR4bzzJUDOapVHL95aRFLN2V4HZKIiIgcxsy50Fpmy8xSgHedc8dWsn8cMA6gTZs2A0rWwatP2dnZxMXF1cm5V+4q4oGFuZx+RASX92hSJ9cIVRm5xfzt61xyCh33nhBDu7jg/v9Wl/mQqlM+QodyEVqUj9DSGPKRkJBAly5dvA6jVhQVFdXKE/AOZu3atezdu7dM27BhwxY55waW79vgCuRAAwcOdAsXLqz7oMpJTU1l6NChtX7evfsLGPHIHGKbhPPuTScTE1W3f1BC0fpd+7joyXk0iQjnjesHBXVzYl3lQ6pH+QgdykVoUT5CS2PIR1paGt27d/fs+rt372b48OEAbNu2jfDwcFq1agVA//79effdd2ndujUrVhz61rLyT9KrCxV9v8yswgI5pKZYHO7+OGsFu7LzePiSvodlcQyQ0jKWKVcfz96cAk7/1+fcPn0Js7/bTn5hsdehiYiISICkpCSWLFnCkiVLGD9+PLfddlvp9tixY/nwww9rfI3CwsKDbgd7XFVpmbcQ8c7SLby9ZAu3n3E0vZObex2Op47tkMBrvzmJKfN+5MMV23hz8WYSYiI5q2dbftmnHSd1TiIiXP+3ExERCVWnnHIK69evP2ifnTt3Mn78eDZu3EhRURGPP/44gwcPZtKkSWzZsoX169fTsmVLjj766DLb999/P9dccw07d+6kVatWPP/88xxxxBGMHTuWxMREFi9eTP/+/XnooYeqHX9IFchm9iowFGhpZunAn5xzBz6bsJHZtjeX37+1gr4dm3PD0KO8Dick9GjfjH9e1Ie/nt+LL9bs5N1lW3lv+VamL9xEUmwUZ/dqyy97t+f4co/dLip2ZOzPZ/e+fHZl57E7O5/d2Xns3pdP347NGd69jUefSEREpA59MBG2La/dc7btBWdPrt1zBrjlllu47bbbGDJkCKtWrWLUqFGkpaUBsGjRIr788ktiYmKYNGlSme1zzz2XK6+8kquuuornnnuOm2++mbfeeguA77//nk8//bTG85lDqkB2zo3xOob65pzjrhlLyS8s5l8X99HIaDlREWEM796G4d3bkFtQROrqHbyzbCszFqXz8lcbadOsCYkRBfx98efszs5nz/58ig8yrX7M8R354y97HrZTWERERELFp59+yqpVqwAoLi4mMzOTrKwsAM477zxiYmJK+wZuz58/nzfffBOAK664grvvvru03+jRo2vlZr+QKpAPR9O/2cQXa3bx1/OPpXOrhn03bV2LjgznrGPbcdax7difX8hnaTt4b9lWfti8g84tYxmYkkjL2CiS4pqQFBdFUmzJaxSxTSJ45NM1PPn5D3yzfg9P/Kofx7Rt5vVHEhERqR11ONJbV4qLi5k/fz4xMTEH3KQXGxtbpm/57UBmFlS/qlCB7LEX5m/g2A7NuOyEI7wOpUFpGhXBuX3ac26f9v47kQ+4AfUAE88+hsFdkrht+lLOe2IufzinO5efeGSZv1giIiJSP84880yeeOIJ7rrrLgCWLFlC3759D3ncoEGDmDZtGldccQVTp05lyJAhtR6bfp/voe+2ZZK2NZOL+ierSKsnJ3dtxQe3nMyJnZP4w9srGf/yIjL253sdloiISKMyZswYTjrpJFavXk1ycjLPPnvgLWWPPfYYCxcupHfv3hx33HE8+eSTQZ37scce4/nnn6d379689NJLPProo7UdvkaQvTRz8WbCw4xz+7T3OpTDSqv4JkwZexzPfvkj//zoO37x6Bc8cmk/ju+UeOiDRURE5ACTJk0qs/3qq68e8piWLVsyffp0oOw6yOXPVX47JSWF2bNnH3C+KVOmBB3voWgE2SPFxY63F2/h1KNbkRR3eD0xLxSEhRnXndKZN64fRGREGJc+PZ9HP11D0cHu8BMREZHDggpkj3y1bjfbMnO5oF8Hr0M5rPVObs67Nw3hvD7tefjT7xnzzFdsycjxOiwRERHxkApkj8xcvJm4JhGc0UPr8notPjqSRy7tx0Oj+7Bi815GPDyHl77aQLFGk0VEJMQ5p59Vwajq90kFsgdy8ov4YMU2zj62LdGRWo83VIwakMwHt5xM744J/OGtFVz81HzW7sjyOiwREZEKRUdHs3v3bhXJh+CcY/fu3URHRwd9jG7S88CnadvJzivU9IoQdGRSLC9fewIzFqXz1/fS+MWjX3LDsKO4fuhRNInQf2ZERCR0JCcnk56ezs6dO70OpcZyc3OrVMBWVXR0NMnJyUH3V4HsgZmLN9MuIZoTOyd5HYpUwMwYPbAjw45pzZ/fWcUjn67hvWVbmTyqFwOO1EoXIiISGiIjI+nUqZPXYdSK1NRU+vXr53UYpTTFop7tzs7j8+93cl7f9oSFae3jUNYyrgmPjenHc2MHsi+vkIuenM8f315BVm6B16GJiIhIHVKBXM/eWbqFomLHhf2CH+YXb512TBs+vv1UrjophZe+2sAZ/5rDJ6u2ex2WiIiI1BEVyPVs5pItdG/XjG5t4w/dWUJGXJMIJp3XkzeuH0RCTCTXvbiQq55bwNy1u3RzhIiISCOjArke/bAzm6WbMrhQN+c1WP2PaME7Nw1h4tnHsHLLXi7779f84rEveWNROvmFxV6HJyIiIrVABXI9envxZsIMzuurR0s3ZFERYYw/9Si+vOc0/jGqF4VFxdzx+lKG/GM2//7fWjL253sdooiIiNSAVrGoJ845Zi7ZzOAuLWnTrO6WMZH6Ex0ZziXHHcHFAzvy+fc7efbLH3ngo9U8MXstowcmc83gTqS0jPU6TBEREakiFcj1ZNGGPWz6KYdbhx/tdShSy8yMod1aM7Rba9K2ZvLfL37k1QUbeemrDZzZow03ndaVYzskeB2miIiIBElTLOrJm4s3ExMZzlnHtvU6FKlD3ds146GL+zD3ntO4YehRfLXuJ8594kt+/9Zy9u7X8nAiIiINQcgVyGZ2lpmtNrO1ZjbR63hqQ15hEe8t28qZPdsQ20SD9oeD1s2iuWvEMXxxzzCuOimFV77eyGkPpfL6wk0UF2vVCxERkVAWUgWymYUD/wbOBnoAY8ysh7dR1dz/vtvJ3pwCPVr6MNQsOpJJ5/XknZuGcGRSU+6asYyLn5pP2tZMr0MTERGRSoRUgQwcD6x1zq1zzuUD04CRHsdUY28t3kzLuCYM6dLS61DEIz3bJzBj/CD+Oao363bt45ePf8mf31mlp/KJiIiEoFArkDsAmwK20/1tDdbe/QXM/m4H5/VpT0R4qH27pT6FhRkXH9eR2XecyiXHdeT5eT8y/KHPeXvJZj1sREREJIRYKP1gNrPRwAjn3K/921cAxzvnbgroMw4YB9CmTZsB06ZNq/c4s7OziYuLC6pv6qYCpqzMZ9JJ0aQkhNdxZIenquQjlKzbW8SLK/NZn1lM98QwftW9CR3jG/5/ohpqPhoj5SK0KB+hRfkILV7lY9iwYYuccwPLt4dagXwSMMk5N8K//VsA59z9FfUfOHCgW7hwYT1G6JOamsrQoUOD6jv6yXns2V/AJ7edgpnVbWCHqarkI9QUFTteWbCRBz78jszcQk7v3oYbhx1FvyNaeB1atTXkfDQ2ykVoUT5Ci/IRWrzKh5lVWCCH2nDVN0BXM+tkZlHApcAsj2Oqtk0/7eeb9Xu4oF8HFcdSofAw44oTj+SLu0/jttOPZuGGn7jgP/O47L9fMW/tLk29EBER8UBIFcjOuUJgAvARkAa85pxb6W1U1ffW4s0AjNSjpeUQEppGcsvpXZl7z2nc+4vufL89m1/992su/L95fJa2XYWyiIhIPQq5RXmdc+8D73sdR2X27i8gM89RVOwID6t8VNg5x8zFmzm+UyLJLZrWY4TSkMU2ieC6UzpzxUlH8vqidJ5M/YFrX1jIMW3juXFYF37Rq91B/9yJiIhIzYVcgRzqnp/3I4/8bz+3pr5PYmwTWsZF0TLO95oU16T0fV5hMet27WPcKZ29DlkaoOjIcK448UguPa4js5Zs4T+pa7np1cX865PvuWhAMoO7tKRXhwQVyyIiInVABXIVDT+mDTs3b6BF2yPYvS+PnVn57MrOY8NP+9iVlU9OQVFp3+jIMM7u1c7DaKWhiwwPY9SA5P9v777jqy7P/4+/ruy9FxkkISwhQJAlogzrwFXc2qq1rVZttVq11o5vv92/Dr+1jqp1UK2rOFpnHYhsURmy9wgIhCQkIXsn9++PnOIBIwYMOYfwfj4e55Fz7vM551znXJzwzufc53NzwcgM3llbzCPzt3H3Oxu5+52NRIcFMS43kQn9E5nQP4kBKVGa6y4iItINFJAP07DMWMqzg5k8eVCn19c1tVJe28ze2iZiw4OIDQ/u4QqlNwoMMM4Z1odzhvWhrLaJD7aWs2hrGe9vKWfW+hIAkqNDOTkv0XNKIitBU3tERESOhAJyN4sMDSIyNIi+iQoncnQkRYVy/oh0zh/R8eXPnRX1LNpaxqKt5by/pZxXVxQBcHJeIv9z7hCGpMf4slwREZFjjgKyyDEuKyGCyxP6cvmYvjjn2Fxay3vrS3lk/lbOfWABl43K4o6zBpISHebrUkVERI4JCsgivYiZMTA1moGp0Xx9bF/un72Zpz7YzhurivjelP5ce0ouYcFa0VFERORQ/Oo4yCLSfWIjgvn5eUOYedskJvRP4u53NvKVP8/j1RW7dVxlERGRQ1BAFunlcpMiefQbo3nuO+OIDQ/m1hkruOjhRSzbsc/XpYmIiPglBWSR48TJeUm8/v1T+NMlw9m9r4GLH17E9/+5nLVFVdqjLCIi4kVzkEWOI4EBxmWjszh3WB8embeVRxds4/WVRWQnRjA1P41z8vswPDNWx1MWEZHjmgKyyHEoMjSI288cxDcn5DJzbTFvrilm+oJCHpm3jYy48I6wPCyNkVnxBGi1PhEROc4oIIscxxIiQ7hibF+uGNuXqvoW3l1fwlur9/D0BzuYvrCQ1JhQpg5N4+xhfRibk6CwLCIixwUFZBEBOo56ccmoTC4ZlUlNYwuzN5Ty5uo9zFiyk398sIOxuQncc9kIMuO1CI6IiPRuCsgi8hnRYcFMK8hgWkEGdU2tvLJiN79/cwNn37eA316Qz7SCDF+XKCIictToKBYickiRoUFcOS6bt249lYGp0dw6YwW3zlhOVUOLr0sTERE5KhSQRaRLshIieP76k7j9jIG8sWoP59y3gI+2lfu6LBERkW6ngCwiXRYUGMAtXxnASzeOJzjQuOKxD/nj2xtobm33dWkiIiLdRgFZRA7byL7x/OeWU7lsVBYPz93KxQ8vYktpra/LEhER6RYKyCJyRCJDg/jjJcP521Wj2LWvnvMeWMAzH+7QqnwiInLM85ujWJjZpcAvgROAsc65pb6tSES6Ymp+GiP7xvHDF1fyP6+sIT7UOL1sJRMHJnNK/yTiI0N8XaKIiMhh8ZuADKwBLgIe8XUhInJ4UmPC+Me3xvL6qiKembuametKeHHZLsxgeEYsEwcmM3FgMgVZcQQH6oMrERHxb34TkJ1z6wHMtFKXyLEoIMCYVpBBbOVmTp04iZW7Kpm/aS8LNpfx4JwtPDB7C9GhQYzPS2TiwGRGZcfTPyVKgVlERPyO+dt8QTObC/zw86ZYmNn1wPUAqampo2bMmNGD1XWora0lKiqqxx9XOqd++JfO+lHX4lhX3saaso5TeWPH752gAMiKCqBvTADZnlNWdAAhgfpDuTvoveFf1A//on74F1/1Y8qUKcucc6MPHu/RgGxms4C0Tq76mXPuVc82czlEQPY2evRot3Rpz09Vnjt3LpMnT+7xx5XOqR/+5Yv64Zxje3k9q3ZVsraomrVFVazZXb1/4ZHAAKN/chRD02PIz4hlWkE6iVGhPVR976L3hn9RP/yL+uFffNUPM+s0IPfoFAvn3Ok9+Xgi4n/MjNykSHKTIvcvWe2cY3dlA2t2dwTmtUXVLNxSxr+X7+aB2Zv53/OHcEFBhqZgiYhIj/CbOcgicvwyMzLjI8iMj2Bq/qcfMm0oruYn/17Nbc+v5JXlRfzuwnwy4yN8WKmIiBwP/ObbMWZ2oZntAsYD/zGzd3xdk4j41uC0GF668WR+ef4Qlmyv4My/zOfvCwtpa/ev706IiEjv4jcB2Tn3snMu0zkX6pxLdc6d5euaRMT3AgOMb07IZeZtExmbm8Cv31jHxQ8vYmNxja9LExGRXspvArKIyKFkxkfwxDfHcN8VBXxS0bFy3z0zN9LU2ubr0kREpJdRQBaRY4ZZx7GWZ90+ifOGp3P/7C2cc98Clm6v8HVpIiLSiyggi8gxJyEyhL9cXsCT3xpDY0s7l/ztA+54YSVFlQ2+Lk1ERHoBBWQROWZNHpTCzNsmcsOkfry+qojJ/zeXP7y1Yf8xlUVERI6EArKIHNMiQ4P4ydknMOeHkzlveB8emb+VSXfPYfrCQs1PFhGRI6LjIItIr5ARF849lxVw7Sm5/OGtDfzmjXU8uaiQO88azHnD+hAQ8OUXGWlvd+yrb6akuomSmkbKa5sJCw4gOiyY6LAgYsKCiQkLIiY8mNCgAC1sIiJyjFJAFpFeZWh6LE9fO475m/by+7c2cMs/lzN9wTZ+fPYJjM9L7PQ2jS1tlNc1U17bRHltM2W1TZTWNFFa3bg/DJdWN1Fa00hLW9eOwRwcaER7AnNcRAhnDEnl0lGZpMSEdefTFRGRo0ABWUR6pYkDk5nQP4lXlu/mzzM38rXHPmTiwGT6xIRRXtdEWW0zFZ5QXNfc+VSMmLAgUmPCSI0JY1y/yI7z0aGkxoSREhNKYmQoTa3t1DS2UNPYSnVjC9WNrfsv1zS2UN3Qyq599dz9zkbueXcTUwalcMWYLCYPSiYoULPcRET8kQKyiPRagQHGxaMyOXd4H55ctJ3pCwvZWFxNYmQoiVEh5CRGkBgVSkJkCElRISR4xhMjQ0iJDiM8JLDbaiksq+OFpTt5cekuZq0vISU6lEtHZ3LZ6CyyEyO77XFEROTLU0AWkV4vLDiQGyflceOkPJ/VkJsUyV1TB3P7GQOZs6GU55fs5OG5W3lwzlZOzkvk8jFZnDU0jbDg7gvlIiJyZBSQRUR6UHBgAGcOTePMoWkUVzXy0rKdPL90J7fOWEFcRDC/OH8IF47M9HWZIiLHNU2AExHxkbTYMG4+bQDzfjiFZ68bR//kKG57fiW3Pb+CmkYdy1lExFcUkEVEfCwgwJjQP4kZ15/EbacP5NUVuzn3/oUs/2Sfr0sTETkuKSCLiPiJoMAAbj19AM/fMJ62dself/uAh+Zuob29a4eWExGR7qGALCLiZ8bkJPDmLady1tA0/vT2Rq6a/hEl1Y2+LktE5LihL+mJiPih2Ihg/vr1kUxamswvXlvL1Hvnc/clIzh9SKqvS+sR9c2tzNu4l7fWFLNqVyWRoUHERQQTG95xigkPJi48ZP/l2PBg0mJDyUuO+tIrGLa1Oz7+ZB/b9taSmxTFwNQo4iJCuumZicixQAFZRMRPmRmXjcliVE48339uOdc9tZRvjM/mp+ec0CsPB1fT2MLsDaW8tbqYuZtKaWxpJyEyhHG5CTS3tlPZ0EJJdS1VDS1U1bfQ3Nb+mftIjQll0sBkJg1M4ZT+ScRGBHfpseuaWlmwuYx315UwZ2MpFXXNB1yfHB3KwNQoBqREMzA1uuN8ajSx4V27/+7S3u54b0Mpj83fRkV9MzdNyWPaiIxuWUpdRD6lgCwi4ufykqN4+aaT+dPbG5m+sJAPtpZz0YmZjM1NYFhGLCFB/jNbrqiygTkbS4kKDSI+IoSEyE9PnYX6yvpm3l1Xwltrilm4uYzmtnZSokO5bHQWU/PTGJuT0OmKg845GlvaqWpoobKhmar6FnaU1zNv017eXlPMC0t3EWBwYt/4jsA8KJn89NgDgmRJdSOz1pcwa10J728tp7m1nZiwIE4bnMIZQ9IYmh5DYXkdm0tq2FRSy+aSGl5YupN6r5UXU2NCyU6IJDQ4gODAAIIDjeDAAEICPZeDPr1cVdJC36G19EuOOuzXtam1jVeXF/HI/K1s3VtHRlw4MeHB3Pb8Sh6bX8hPzhnMqQOSD/t+RaRzCsgiIseA0KBAfn7eEE4dkMT/e3M9f3x7AwBhwQGMzIpnTG4CY3MSODE7joiQnv/VXlTZwMNzt/L8kp2d7tkFiAgJPCAwN7W0s2R7Ba3tjoy4cK4en805w9IYmRX/hXtEzYzwkEDCQwJJiw0DYFy/RC4bk0VrWzsrd1Uyd+Ne5m3ay5/f3cSf391EYmQIEwcmkxUfzrxNe1m5qwqAvgkRXH1SNqefkMronHiCvQJ5TlIkUwal7L/c3u7YXdnA5tIaNhZ3hObdlQ3UNbXS0uZobm2npa2d5raOny1tjpbWjstNre3M2DiP/ilRnDkklbOGpjEsI/aQz7W6sYXnPvqEvy8spLSmiaHpMdz/tZGck59GgBmvryri7nc2cvX0xZw6IIm7pg4mPyO2y30Tkc75TUA2s7uB84FmYCvwLedcpU+LEhHxM5MHpTB5UArltU0s2b6PxYUVLN5ezl9nb6bdQVCAMTQjlnG5CYTWtNKnuIb0uDCiw47OVIA9VQ08NKcjGLc7x6Wjs/j2hBzMjIq65v2nffXNB1yuqGumtc3xnYn9ODu/Iyh+2bnD/xUUGMCo7ARGZSdwx5mDKKttYsHmvczzBOaKumYKsuK486xBnDEklQEpXZ+3HBBgZCVEkJUQwWmDD28++L/emk1NTC4z15XwyPxtPDR3K2kxYZzhCcvj+iXsD+fFVY088X4hz370CbVNrZw6IIl7LitgQv/EA2qdVpDB1Pw0nvnwE/46ezPnPbCQaQXp/PDMQWQlRByynr01TSzbUcGS7ftY6vlD5fQTUpman8bgtOhu60dPqW1q5Y4XVrChuIa+CRHkJEaSnRhBtudn34SIz52a5JxjX30LRZUN+097qhopqmpkWEYM3zw5168+qZGjz5zzj8MHmdmZwGznXKuZ/RHAOXfXoW4zevRot3Tp0h6pz9vcuXOZPHlyjz+udE798C/qh2/UNLawbMc+lmyvYHFhBSt3Vh2wJzcmLIj0uHAy48NJjwsnI87zMz6czLhwkqNDDysQ7anq2GM8Y/GnwfimKXlkxh86lPlae7ujtrmVmKP0B8OheL83KuubeW99KTPXFTNv014aWz6d3hEYEMBrK3fT1u44b3g610/s16W9wtWNLfxt7lamLyzEObh6fDY3T+lPfGQIzjkKy+pYur3j38jSHfsoLKsDIDQogIKsONqdY+mOfTjXsVd9an4aZw1N7dIefYDGljY2FtewpqiKNburyYgL4/qJeT0SLKvqW7jmicWs3l3FVwanUFzdyPayOqobWw/YLi0mzBOaI9izpxgXHkdRVUcgbmw58JOPkKAAkiJDKKpqpH9KFL+Zls/4vMSj/lyOV776v8PMljnnRh887jd7kJ1zM70ufghc4qtaRESONdFhwfv3LkNHWHnmP3NJzT2B3Z49Yrv3NbBrXwMfFVZQc1BwiA4LYmBqNANSOr589t8vpKXGHBicOwvG35uc94V7K/1FQID5JBwfLC4ihItHZXLxqEwamttYuKWMmWuLmbW+hIaWNq4cl821p+Qe1usaExbMj6YO5hvjc/jLu5t44v1CXli6k7E5CazYWUm554uH8RHBjM5J4Gtjsxidk0B++qfz2PfWNDFrfQlvrynmifcLeXT+NlKiQzljSMee5ZP6JRIcGEB9cyvr91SzZnc1a3ZXsXp3FVtKa2n1HLM7OiyImsZW3llbwr1XFJB3BPOuu2pvTRNXT/+IbXvrePDrJzI1P23/dZX1zWwvr2dHeR07yuvZUV7PJxV1zNm4l5bmNnJSWjkhLYbTBqWQ7vmjMT0ujPS4cBIjQzAz3ltfwi9eW8vXHvuQC0dm8NNzTiA5OvSoPR/xD36zB9mbmb0OPO+ce6aT664HrgdITU0dNWPGjJ4uj9raWqKijt6bXQ6P+uFf1A//cahe1Lc4yhsd5Q3t7G1wFNW2U1Tbzu7admq9VrkOD4KMqADSozoC1KLdrTjg1Iwgzu0XTHKEPnbuqq68N9raHW0OQgK//PSG3TXt/GtzM0W17eTFBTIwPoAB8YH0ibQufVpQ3+JYtbeNpSWtrC5ro6kNIoIgLtTYU+f4b3qIDoGcmEByYgLI9pySwo2PS9t4Yk0Tze1w5eAQJmYGdfu0jfKGdu5e0khFo+OWE0PJT+r6fr/D+V3V1OZ4Y2sLbxa2EBoIlwwMYXJWEAHH2DQUf+ar/zumTJnS6R7kHg3IZjYLSOvkqp855171bPMzYDRwkfuC4jTFQkD98Dfqh/84kl445yiva2ZTSQ2bS2rZXPrpERxqGlu5dHQm35vc/5jZY+xPjuX3RmNLGws2l/HO2mIq61sYmh5DfkYswzJiP/Mpg7eS6kZuf2EF728pZ+rQNP5w8bBuO6b09rI6rnz8I6obWvj7t8YwJifhsG5/JP3YureWn7+yhkVbyxmRGctvLxjGsEx9KbI7HNdTLJxzpx/qejO7BjgP+MoXhWMREel+ZkZSVChJUaGcnJd0wHUtbe0HHOFBjh9hwYGcMSSVMw5zoZrUmDCe/vY4Hluwjf+buZGp91Zyz+UjPvNv63BtLK7hqukf0drWznPfOanHQmpechTPXjeO11YW8Zs31vPVBxdy9UnZ3HHmoM8cE7u5tZ3yuibKapopq21ib20TFXXNjMlJYFR2fI/UK0fOb+Ygm9lU4C5gknOu3tf1iIjIgRSO5UgEBBg3TMpjQv8kbvnncq58/CNunJTHbacPPKIv8K3aVck3/r6YkMAAnr9hPANTo49C1Z/PzJhWkMGUwSncM3MTT32wnTdXFzOuXwJlNU2U1TZRVttMVUPL597H18f15a6pg3t8oRnpOr8JyMBfgVDgXc9HNR865270bUkiIiLSHfIzYnnjllP4zRvreHjuVt7fUsZ9V4wkNymyy/exuLCCbz+5hNjwYJ77zjiyE7t+2+4WExbML786lItPzOS3/1nHuqJqkqJCGJgazcl5HZ/CJEWHkBwVSlJ0KMlRoUSGBvHw3C1MX1jIrHUl/OqrQ5man3bMHVLveOA3Adk519/XNYiIiMjRExESxO8vGs6kgcnc9a/VnHv/Aq4en012QiRpsaGkxYSTFhtGfETwZ0LjvE17ueHppaTHhfPsdePoExvuo2dxoGGZsTx/w/gub/+zc4fw1REZ/Pjfq/jusx9zxpBUfj1tqN88n57W2NLGzc8tZ1xMG5N9XYwXvwnIIiIicnyYmt+HEVlx/OilVTw6fxsHf+soJCiAtJgw0mLDSIsJIy4imH8u/oT+KdE8fe1YkqKO7cOsDcuM5dWbJjB9YSF/mbWJM+6Zz4+mDuKqcdldOuZ0b+Gc486XVjFrfQmDC/yrpwrIIiIi0uP6xIbz9LXjaGlrZ29NE8XVjRRXNbKnqpGSas/PqkaW79xHSVUTo7LjeeSq0cRG9I55u0GBAdwwKY+z8/vws1dW87+vruWV5bv5/UXDGZTWs/OqfeXeWZt5fWURd00dzAns9HU5B1BAFhEREZ8JDgzYv0jH53HO9dp5un0TI3jq22N5eflufvPGOs57YAE3Tsrjpin9P3dp7N7g1RW7ue+9zVw6KpMbJ/Vj3jz/Csj6SrKIiIj4td4ajv/LzLjoxEzeu2My5w9P54HZW7jgwffZUlrr69KOimU7KrjzxVWMy03gdxcO88v+KiCLiIiI+IGEyBDuubyAJ745htKaJs5/YCEvLt1Jb1oaYmdFPdc/tYyM+HD+dtWoIzrUX0/wz6pEREREjlNTBqfw1q2nUpAVx50vreL2F1ZS29Tq67K+tOrGFr795BJa2x3TrxlNfGT3rKp4NGgOsoiIiIifSY0J45nrxvHgnC3cO2sTK3ZW8sDXRpKf0TOrBra1O0qqG9lZUc/OfQ2en/XsqmiguLqR8f0Sufm0ri8739rWzk3PfkxhWR1PXTuWfslRR/kZfDkKyCIiIiJ+KDDAuOUrAxiXm8CtM1Zw0UOL+Ok5g7nm5Jxumbdb09jCjvJ6dlbUs6Oifv/5Xfvq2V3ZQEvbp1M7zCAtJozM+HAGpUXz8vLd/OvjXVw6OpPvTT50UHbO8avX17Fgcxl/unj4l15qvCcoIIuIiIj4sXH9Ennz1lO588WV/PL1dSzaWs6fLhlOXMShpyg45yiva2Z7WR3by+v5pLxufxD+pKKeirrmA7ZPiAwhKyGC/IxYzh7Wh6z4CDLjw8lKiCA9LozQoE+PqrGnqoGH525lxuKdvLRsF5eMyuLm0/qT0cnRSJ5ctJ2nP9zBDZP6cdmYrO55UY4yBWQRERERP5cQGcLj14xm+sJC/vj2Bs69fyH3XVHA6JwEqhtb2F5WR6HXaXtZHdvK6qhp/HTucoBBelw42YkRnDU0jezECLITIuibGEHfhAiiw7p+jOk+seH8elo+N07K46G5W3h+yU5eWraTy0ZncdOU/vsP2zd7Qwm/eWMdZw5J5a6zBnf763K0KCCLiIiIHAPMjOtO7cfY3ARufm45lz/6IfERwZTVNnttAxlx4eQmRXLhyAxyEiPJTYokJymSjLjwbj9qRHpcOL+9YBjfndyfh+Zs4YWlO3lx6S4uH5PF6UNS+f5zyxmSHsO9VxQcU6sEKiCLiIiIHEOGZ8bxn1tO4d5Zm6lrat0fgPslRZKVEOGTBUYy4sL53YXD+O7kPB6cs5V/Lv6Epz/cQWpMKI9/YwwRIcdW5Dy2qhURERERosOC+fl5Q3xdxmdkxkfw+4uG8b3JecxY8glfHZFBWmyYr8s6bArIIiIiItKtshIiuPMYmnN8MC0UIiIiIiLiRQFZRERERMSLArKIiIiIiBcFZBERERERL+ac++Kt/JSZ7QV2+OChk4AyHzyudE798C/qh/9QL/yL+uFf1A//4qt+ZDvnkg8ePKYDsq+Y2VLn3Ghf1yEd1A//on74D/XCv6gf/kX98C/+1g9NsRARERER8aKALCIiIiLiRQH5yDzq6wLkAOqHf1E//Id64V/UD/+ifvgXv+qH5iCLiIiIiHjRHmQRERERES8KyCIiIiIiXhSQD5OZTTWzjWa2xcx+7Ot6jgdm9nczKzWzNV5jCWb2rplt9vyM97ruJ57+bDSzs3xTde9kZllmNsfM1pvZWjO71TOufviAmYWZ2WIzW+npx6884+qHj5hZoJktN7M3PJfVCx8xs+1mttrMVpjZUs+Y+uEjZhZnZi+Z2QbP/yHj/bkfCsiHwcwCgQeBs4EhwNfMbIhvqzouPAlMPWjsx8B7zrkBwHuey3j6cQUw1HObhzx9k+7RCtzhnDsBOAm4yfOaqx++0QSc5pwbARQAU83sJNQPX7oVWO91Wb3wrSnOuQKv4+uqH75zH/C2c24wMIKO94nf9kMB+fCMBbY457Y555qBGcA0H9fU6znn5gMVBw1PA/7hOf8P4AKv8RnOuSbnXCGwhY6+STdwzu1xzn3sOV9Dxy+4DNQPn3Adaj0Xgz0nh/rhE2aWCZwLPO41rF74F/XDB8wsBpgITAdwzjU75yrx434oIB+eDGCn1+VdnjHpeanOuT3QEdqAFM+4etRDzCwHGAl8hPrhM56P9FcApcC7zjn1w3fuBX4EtHuNqRe+44CZZrbMzK73jKkfvtEP2As84ZmC9LiZReLH/VBAPjzWyZiOk+df1KMeYGZRwL+AHzjnqg+1aSdj6kc3cs61OecKgExgrJnlH2Jz9eMoMbPzgFLn3LKu3qSTMfWie01wzp1Ix7TIm8xs4iG2VT+OriDgROBh59xIoA7PdIrP4fN+KCAfnl1AltflTKDIR7Uc70rMrA+A52epZ1w9OsrMLJiOcPysc+7fnmH1w8c8H1fOpWO+nvrR8yYAXzWz7XRMvzvNzJ5BvfAZ51yR52cp8DIdH9GrH76xC9jl+YQL4CU6ArPf9kMB+fAsAQaYWa6ZhdAxgfw1H9d0vHoNuMZz/hrgVa/xK8ws1MxygQHAYh/U1yuZmdExh2y9c+4er6vUDx8ws2Qzi/OcDwdOBzagfvQ459xPnHOZzrkcOv5vmO2cuwr1wifMLNLMov97HjgTWIP64RPOuWJgp5kN8gx9BViHH/cjqCcf7FjnnGs1s5uBd4BA4O/OubU+LqvXM7N/ApOBJDPbBfwC+APwgpldC3wCXArgnFtrZi/Q8cZrBW5yzrX5pPDeaQJwNbDaM+8V4KeoH77SB/iH59vdAcALzrk3zOwD1A9/ofeGb6QCL3f8TU8Q8Jxz7m0zW4L64SvfB5717GDcBnwLz+8tf+yHlpoWEREREfGiKRYiIiIiIl4UkEVEREREvCggi4iIiIh4UUAWEREREfGigCwiIiIi4kUBWUSkm5hZnJl9z+tyupm9dJQeK9jMurpqW48xsxwzW+PrOkREvgwFZBGR7hMH7A/Izrki59wlR+mxTgEWHaX7FhE5rikgi4h0nz8AeWa2wszu9t6bambfNLNXzOx1Mys0s5vN7HYzW25mH5pZgme7PDN728yWmdkCMxv8OY81FXjLe8DMAs3sSTNbY2arzey2Q92nmaWa2ctmttJzOtkzfrvnPtaY2Q88Yzlmtt7MHjOztWY207N6H2Y2ynP7D4CbvOoZamaLPa/HKjMb0I2vtYjIUaOALCLSfX4MbHXOFTjn7uzk+nzg68BY4HdAvXNuJPAB8A3PNo8C33fOjQJ+CDz0OY81BZh70FgBkOGcy3fODQOe+IL7vB+Y55wbAZwIrDWzUXSscDUOOAn4jpmN9Gw/AHjQOTcUqAQu9ow/AdzinBt/UD03Avc55wqA0cCuz3kuIiJ+RUtNi4j0nDnOuRqgxsyqgNc946uB4WYWBZwMvOhZIhcg9OA7MbN0oMI5V3/QVduAfmb2APAfYOYX3OdpeIK5ZxnXKjM7BXjZOVfneax/A6cCrwGFzrkVntsuA3LMLBaIc87N84w/DZztOf8B8DMzywT+7Zzb3MXXSUTEpxSQRUR6TpPX+Xavy+10/D4OACo9e1wP5WzgnYMHnXP7zGwEcBYdUx0uA37Qxfv8LzvEdd71twHhnu1dZxs7554zs4+Ac4F3zOw659zsLtYhIuIzmmIhItJ9aoDoI72xc64aKDSzSwGsw4hONv3M/GPP9klAgHPuX8DPgRO/4D7fA77rGQ80sxhgPnCBmUWYWSRwIbDgEDVX8umeZ4ArverpB2xzzt1Pxx7o4V18KUREfEoBWUSkmzjnyoH3PV9uu/sI7+ZK4FozWwmsBaZ5X2lmgcAA59yGTm6bAcw1sxXAk8BPvuA+bwWmmNlqOqZMDHXOfey57WLgI+Bx59zyL6j5W8CDni/pNXiNXw6s8dQzGHjqC+5HRMQvmHOdfjImIiJ+yLOn9irn3I2+rkVEpLdSQBYRERER8aIpFiIiIiIiXhSQRURERES8KCCLiIiIiHhRQBYRERER8aKALCIiIiLiRQFZRERERMTL/wcPYV/P6ozuPQAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# parameter values and units\n", "T_amb = 21 # deg C\n", "u1bar = expt[\"Q1\"].mean()\n", "t_expt = expt.index\n", "\n", "# adjustable parameters\n", "K = 0.6\n", "tau = 150\n", "t_delay = 10\n", "\n", "def model_first_order_delay(param, plot=False):\n", " K, tau, t_delay = param \n", " pred = pd.DataFrame(columns=[\"T1\", \"T2\", \"Q1\", \"Q2\"], index=t_expt)\n", " pred[\"T1\"] = [T_amb + K*u1bar*(1 - np.exp(-(t-t_delay)/tau)) if t > t_delay else T_amb for t in t_expt]\n", " if plot:\n", " plot_data(expt, pred)\n", " return pred[\"T1\"] - expt[\"T1\"]\n", " \n", "model_first_order_delay([K, tau, t_delay], True)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "nbpages": { "level": 3, "link": "[2.4.3.2 First order with time delay](https://jckantor.github.io/cbe30338-2021/02.04-Model-Identification.html#2.4.3.2-First-order-with-time-delay)", "section": "2.4.3.2 First order with time delay" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "K = 0.6520728533493453, tau = 154.47860579512735, time delay = 21.772054298276494\n" ] }, { "data": { "text/plain": [ "Time\n", "0.0 -0.221000\n", "10.0 -0.253000\n", "20.0 -1.188000\n", "30.0 -0.785879\n", "40.0 -0.362185\n", " ... \n", "560.0 -0.199623\n", "570.0 -0.136923\n", "580.0 -0.078154\n", "590.0 -0.248068\n", "600.0 0.189565\n", "Name: T1, Length: 61, dtype: float64" ] }, "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 = least_squares(model_first_order_delay, [K, tau, t_delay])\n", "K, tau, t_delay = results.x\n", "print(f\"K = {K}, tau = {tau}, time delay = {t_delay}\")\n", "model_first_order_delay(results.x, True)" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 2, "link": "[2.4.4 First order Energy balance model](https://jckantor.github.io/cbe30338-2021/02.04-Model-Identification.html#2.4.4-First-order-Energy-balance-model)", "section": "2.4.4 First order Energy balance model" } }, "source": [ "## 2.4.4 First order Energy balance model\n", "\n", "We previously developed a model comprising a single differential equation for the temperature response of a heater/sensor assembly. Given $u_1(t)$ and an initial condition $T_{amb}$, the heater/sensor temperature is given by \n", "\n", "$$\\frac{dT_1}{dt} = -\\frac{U_a}{C_p}T_1 + \\frac{\\alpha P_1}{C_p} u_1(t) + \\frac{U_a}{C_p}T_{amb}$$\n", "\n", "Several of the key parameters are known. These include $\\alpha$ which was determined by direct measurement, $P1$ which is set in the Arduino firmware. We assume the ambient temperature $T_{amb}$ is measurable and known. \n", "\n", "The unknown parameters are the heat capacity $C_p$ and heat transfer coefficient $U_a$. We wish to find values of the unknown parameters that allow the model response to mimic responses measured by experiment.\n", "\n", "Here we show a simulation of this model." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "nbpages": { "level": 2, "link": "[2.4.4 First order Energy balance model](https://jckantor.github.io/cbe30338-2021/02.04-Model-Identification.html#2.4.4-First-order-Energy-balance-model)", "section": "2.4.4 First order Energy balance model" } }, "outputs": [], "source": [ "# parameter values and units\n", "T_amb = 21 # deg C\n", "P1 = 200 # P1 units\n", "P2 = 100 # P2 units\n", "alpha = 0.00016 # watts / (units P1 * percent U1)\n", "\n", "# input function\n", "def u1(t):\n", " return np.interp(t, t_expt, expt[\"Q1\"])\n", "\n", "def u2(t):\n", " return np.interp(t, t_expt, expt[\"Q2\"])" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 2, "link": "[2.4.4 First order Energy balance model](https://jckantor.github.io/cbe30338-2021/02.04-Model-Identification.html#2.4.4-First-order-Energy-balance-model)", "section": "2.4.4 First order Energy balance model" } }, "source": [ "The unknown parameters are the heat capacity $C_p$ and heat transfer coefficient $U_a$. We wish to find values of the unknown parameters that allow the model response to mimic responses measured by experiment.\n", "\n", "Here we show a simulation of this model." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "nbpages": { "level": 2, "link": "[2.4.4 First order Energy balance model](https://jckantor.github.io/cbe30338-2021/02.04-Model-Identification.html#2.4.4-First-order-Energy-balance-model)", "section": "2.4.4 First order Energy balance model" } }, "outputs": [ { "data": { "text/plain": [ "Time\n", "0.0 -0.221000\n", "10.0 2.305582\n", "20.0 3.724586\n", "30.0 4.601597\n", "40.0 5.082666\n", " ... \n", "560.0 -0.111357\n", "570.0 -0.086947\n", "580.0 -0.064244\n", "590.0 -0.268356\n", "600.0 0.136861\n", "Name: T1, Length: 61, dtype: float64" ] }, "execution_count": 9, "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": [ "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.integrate import solve_ivp\n", "\n", "# adjustable parameters\n", "Cp = 6 # joules/deg C\n", "Ua = 0.05 # watts/deg C\n", "\n", "def model_energy_first_order(param, plot=False):\n", " # unpack the adjustable parameters\n", " Cp, Ua = param\n", "\n", " # model solution\n", " def deriv(t, y):\n", " T1 = y[0]\n", " return -(Ua/Cp)*T1 + (alpha*P1/Cp)*u1(t) + (Ua/Cp)*T_amb\n", "\n", " soln = solve_ivp(deriv, [min(t_expt), max(t_expt)], [T_amb], t_eval=t_expt) \n", " \n", " # create dataframe with predictions\n", " pred = pd.DataFrame(columns=[\"T1\", \"T2\", \"Q1\", \"Q2\"], index=t_expt)\n", " pred[\"T1\"] = soln.y[0]\n", "\n", " # plot solution\n", " if plot:\n", " plot_data(expt, pred)\n", " \n", " return pred[\"T1\"] - expt[\"T1\"]\n", " \n", "model_energy_first_order([Cp, Ua], True)" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 2, "link": "[2.4.5 Find the best fit](https://jckantor.github.io/cbe30338-2021/02.04-Model-Identification.html#2.4.5-Find-the-best-fit)", "section": "2.4.5 Find the best fit" } }, "source": [ "## 2.4.5 Find the best fit" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "nbpages": { "level": 2, "link": "[2.4.5 Find the best fit](https://jckantor.github.io/cbe30338-2021/02.04-Model-Identification.html#2.4.5-Find-the-best-fit)", "section": "2.4.5 Find the best fit" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Cp = 9.229886459160445, Ua = 0.046971454569863326\n" ] }, { "data": { "text/plain": [ "Time\n", "0.0 -0.221000\n", "10.0 1.437129\n", "20.0 2.108398\n", "30.0 2.345976\n", "40.0 2.283637\n", " ... \n", "560.0 0.285965\n", "570.0 0.382852\n", "580.0 0.475093\n", "590.0 0.338030\n", "600.0 0.808000\n", "Name: T1, Length: 61, dtype: float64" ] }, "execution_count": 10, "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 = least_squares(model_energy_first_order, [Cp, Ua])\n", "Cp, Ua = results.x\n", "print(f\"Cp = {Cp}, Ua = {Ua}\")\n", "model_energy_first_order(results.x, True)" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 2, "link": "[2.4.6 Second-order model](https://jckantor.github.io/cbe30338-2021/02.04-Model-Identification.html#2.4.6-Second-order-model)", "section": "2.4.6 Second-order model" } }, "source": [ "## 2.4.6 Second-order model" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 3, "link": "[2.4.6.1 Dynamics of the Heater/Sensor System](https://jckantor.github.io/cbe30338-2021/02.04-Model-Identification.html#2.4.6.1-Dynamics-of-the-Heater/Sensor-System)", "section": "2.4.6.1 Dynamics of the Heater/Sensor System" } }, "source": [ "### 2.4.6.1 Dynamics of the Heater/Sensor System\n", "\n", "The previous results are not yet fully satisfactory. We're still missing the initial 'lag' in response of the measured temperature. \n", "\n", "For this third model, we consider the possibility that the heater and sensor may not be at the same temperature. In other words, that the heater/sensor assembly is not at a uniform temperature. To account for this possibility, we introduce $T_{H,1}$ to denote the temperature of heater one and $T_{S,1}$ to denote the temperature of the corresponding sensor. We'll further assume that sensor mainly exchanges heat with the heater, and the dominant heat transfer to the surroundings is through the heat sink attached to the heater.\n", "\n", "This motivates a model\n", "\n", "\\begin{align}\n", "C^H_p\\frac{dT_{H,1}}{dt} & = U_a(T_{amb} - T_{H,1}) + U_b(T_{S,1} - T_{H,1}) + \\alpha P_1u_1\\\\\n", "C^S_p\\frac{dT_{S,1}}{dt} & = U_b(T_{H,1} - T_{S,1}) \n", "\\end{align}\n", "\n", "where $C^H_p$ and $C^S_p$ are the gross heat capacities of the heater and sensor, respectively, and $U_b$ is a new heat transfer coefficient characterizing the exchange of heat between the heater and sensor.\n", "\n", "\\begin{align}\n", "\\frac{dT_{H,1}}{dt} & = -\\frac{U_a+U_b}{C^H_p}T_{H,1} + \\frac{U_b}{C^H_p}T_{S,1} + \\frac{\\alpha P_1}{C^H_p}u_1 + \\frac{U_a}{C^H_p}T_{amb}\\\\\n", "\\frac{dT_{S,1}}{dt} & = \\frac{U_b}{C^S_p}(T_{H,1} - T_{S,1}) \n", "\\end{align}\n", "\n", "Where measured temperature, that is, the temperature recorded by the Arduino, $T_1$ is given by\n", "\n", "$$T_1 = T_{S,1}$$" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "nbpages": { "level": 3, "link": "[2.4.6.1 Dynamics of the Heater/Sensor System](https://jckantor.github.io/cbe30338-2021/02.04-Model-Identification.html#2.4.6.1-Dynamics-of-the-Heater/Sensor-System)", "section": "2.4.6.1 Dynamics of the Heater/Sensor System" } }, "outputs": [ { "data": { "text/plain": [ "Time\n", "0.0 -0.221000\n", "10.0 0.371773\n", "20.0 0.895562\n", "30.0 1.395004\n", "40.0 1.774688\n", " ... \n", "560.0 -0.210368\n", "570.0 -0.188967\n", "580.0 -0.148499\n", "590.0 -0.323733\n", "600.0 0.093363\n", "Name: T1, Length: 61, dtype: float64" ] }, "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": [ "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.integrate import solve_ivp\n", "\n", "# adjustable parameters\n", "CpH = 5 # joules/deg C\n", "CpS = 1 # joules/deg C\n", "Ua = 0.05 # watts/deg C\n", "Ub = 0.05 # watts/deg C\n", "\n", "\n", "def model_energy_second_order(param, plot=False):\n", " # unpack the adjustable parameters\n", " CpH, CpS, Ua, Ub = param\n", "\n", " # model solution\n", " def deriv(t, y):\n", " T1H, T1S = y\n", " dT1H = (-(Ua + Ub)*T1H + Ub*T1S + alpha*P1*u1(t) + Ua*T_amb)/CpH\n", " dT1S = Ub*(T1H - T1S)/CpS\n", " return [dT1H, dT1S]\n", "\n", " soln = solve_ivp(deriv, [min(t_expt), max(t_expt)], [T_amb, T_amb], t_eval=t_expt) \n", " \n", " # create dataframe with predictions\n", " pred = pd.DataFrame(columns=[\"T1\", \"T2\", \"Q1\", \"Q2\"], index=t_expt)\n", " pred[\"T1\"] = soln.y[1]\n", "\n", " # plot solution\n", " if plot:\n", " ax = plot_data(expt, pred)\n", " \n", " return pred[\"T1\"] - expt[\"T1\"]\n", " \n", "model_energy_second_order([CpH, CpS, Ua, Ub], plot=True)" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 3, "link": "[2.4.6.2 Best fit](https://jckantor.github.io/cbe30338-2021/02.04-Model-Identification.html#2.4.6.2-Best-fit)", "section": "2.4.6.2 Best fit" } }, "source": [ "### 2.4.6.2 Best fit" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "nbpages": { "level": 3, "link": "[2.4.6.2 Best fit](https://jckantor.github.io/cbe30338-2021/02.04-Model-Identification.html#2.4.6.2-Best-fit)", "section": "2.4.6.2 Best fit" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CpH = 2.1819127156760283, CpS = 1.878312055293452, Ua = 0.04956661570349656, Ub = 0.021187799850674392\n" ] }, { "data": { "text/plain": [ "Time\n", "0.0 -0.221000\n", "10.0 0.104481\n", "20.0 0.063797\n", "30.0 -0.007664\n", "40.0 -0.117127\n", " ... \n", "560.0 -0.289049\n", "570.0 -0.245878\n", "580.0 -0.203222\n", "590.0 -0.386367\n", "600.0 0.039925\n", "Name: T1, Length: 61, dtype: float64" ] }, "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 = least_squares(model_energy_second_order, [CpH, CpS, Ua, Ub])\n", "CpH, CpS, Ua, Ub = results.x\n", "print(f\"CpH = {CpH}, CpS = {CpS}, Ua = {Ua}, Ub = {Ub}\")\n", "model_energy_second_order(results.x, True)" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 2, "link": "[2.4.7 Fourth-Order Multi-Input Multi-Output Model](https://jckantor.github.io/cbe30338-2021/02.04-Model-Identification.html#2.4.7-Fourth-Order-Multi-Input-Multi-Output-Model)", "section": "2.4.7 Fourth-Order Multi-Input Multi-Output Model" } }, "source": [ "## 2.4.7 Fourth-Order Multi-Input Multi-Output Model" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 3, "link": "[2.4.7.1 Model derivation](https://jckantor.github.io/cbe30338-2021/02.04-Model-Identification.html#2.4.7.1-Model-derivation)", "section": "2.4.7.1 Model derivation" } }, "source": [ "### 2.4.7.1 Model derivation\n", "\n", "\\begin{align}\n", "C^H_p\\frac{dT_{H,1}}{dt} & = U_a(T_{amb} - T_{H,1}) + U_b(T_{S,1} - T_{H,1}) + U_c(T_{H,2}-T_{H,1}) + \\alpha P_1u_1\\\\\n", "C^S_p\\frac{dT_{S,1}}{dt} & = U_b(T_{H,1} - T_{S,1}) \\\\\n", "C^H_p\\frac{dT_{H,2}}{dt} & = U_a(T_{amb} - T_{H,2}) + U_b(T_{S,2} - T_{H,2}) + U_c(T_{H,1}-T_{H,2}) + \\alpha P_2 u_2\\\\\n", "C^S_p\\frac{dT_{S,2}}{dt} & = U_b(T_{H,2} - T_{S,2}) \n", "\\end{align}\n", "\n", "where\n", "\n", "\\begin{align}\n", "T_1 & = T_{S,1} \\\\\n", "T_2 & = T_{S,2}\n", "\\end{align}" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 3, "link": "[2.4.7.2 Standard form](https://jckantor.github.io/cbe30338-2021/02.04-Model-Identification.html#2.4.7.2-Standard-form)", "section": "2.4.7.2 Standard form" } }, "source": [ "### 2.4.7.2 Standard form\n", "\n", "\\begin{align}\n", "\\frac{dT_{H,1}}{dt} & = -(\\frac{U_a+U_b+U_c}{C^H_p})T_{H,1} + \\frac{U_b}{C^H_p}T_{S,1} + \\frac{U_c}{C^H_p}T_{H,2} + \\frac{\\alpha P_1}{C^H_p}u_1 + \\frac{U_a}{C^H_p}T_{amb}\\\\\n", "\\frac{dT_{S,1}}{dt} & = \\frac{U_b}{C^S_p}(T_{H,1} - T_{S,1}) \\\\\n", "\\frac{dT_{H,2}}{dt} & = -(\\frac{U_a+U_b+U_c}{C^H_p})T_{H,2} + \\frac{U_b}{C^H_p}T_{S,2} + \\frac{U_c}{C^H_p}T_{H,1} + \\frac{\\alpha P_2}{C^H_p}u_2 + \\frac{U_a}{C^H_p}T_{amb}\\\\\n", "\\frac{dT_{S,2}}{dt} & = \\frac{U_b}{C^S_p}(T_{H,2} - T_{S,2}) \n", "\\end{align}\n", "\n", "where\n", "\n", "\\begin{align}\n", "T_1 & = T_{S,1} \\\\\n", "T_2 & = T_{S,2}\n", "\\end{align}" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "nbpages": { "level": 3, "link": "[2.4.7.2 Standard form](https://jckantor.github.io/cbe30338-2021/02.04-Model-Identification.html#2.4.7.2-Standard-form)", "section": "2.4.7.2 Standard form" } }, "outputs": [ { "data": { "text/plain": [ "array([ -0.221 , 0.34640496, 0.76940428, 1.05824442,\n", " 1.13171249, 1.24645305, 1.07316775, 0.81586616,\n", " 0.48007917, -0.13344645, -0.48890253, -0.70921588,\n", " -1.25124638, 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-0.63253118, -0.84498618,\n", " -0.98516443, -1.17491935, -1.33677645, -1.49587723,\n", " -1.8492109 , -1.96193909, -1.99769309, -2.25902565,\n", " -2.50785808, -2.61676844, -2.80891642, -2.99064871,\n", " -3.17264735, -3.21202536, -3.45674232, -3.57654781,\n", " -3.68625433, -3.83610915, -3.81942424, -4.06981347,\n", " -4.11040659, -4.07154664, -4.2405798 , -4.40609913,\n", " -4.60440012, -4.66476863, -4.65018425, -4.83416322,\n", " -4.9332353 , -4.99274741, -4.94824326, -5.08791481,\n", " -5.21768802, -5.27702057, -5.31165008, -5.25854906,\n", " -5.50630469, -5.43159342])" ] }, "execution_count": 13, "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": [ "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.integrate import solve_ivp\n", "\n", "# adjustable parameters\n", "CpH = 5 # joules/deg C\n", "CpS = 1 # joules/deg C\n", "Ua = 0.05 # watts/deg C\n", "Ub = 0.05 # watts/deg C\n", "Uc = 0.05 # watts/deg C\n", "\n", "def model_energy_fourth_order(param, plot=False):\n", " # unpack the adjustable parameters\n", " CpH, CpS, Ua, Ub, Uc = param \n", "\n", " # model solution\n", " def deriv(t, y):\n", " T1H, T1S, T2H, T2S= y\n", " dT1H = (-(Ua + Ub + Uc)*T1H + Ub*T1S + Uc*T2H + alpha*P1*u1(t) + Ua*T_amb)/CpH\n", " dT1S = Ub*(T1H - T1S)/CpS\n", " dT2H = (-(Ua + Ub + Uc)*T2H + Ub*T2S + Uc*T1H + alpha*P2*u2(t) + Ua*T_amb)/CpH\n", " dT2S = Ub*(T2H - T2S)/CpS\n", " return [dT1H, dT1S, dT2H, dT2S]\n", "\n", " soln = solve_ivp(deriv, [min(t_expt), max(t_expt)], [T_amb]*4, t_eval=t_expt) \n", " \n", " # create dataframe with predictions\n", " pred = pd.DataFrame(columns=[\"T1\", \"T2\", \"Q1\", \"Q2\"], index=t_expt)\n", " pred[\"T1\"] = soln.y[1]\n", " pred[\"T2\"] = soln.y[3]\n", "\n", " # plot solution\n", " if plot:\n", " ax = plot_data(expt, pred)\n", " \n", " err1 = np.array(pred[\"T1\"] - expt[\"T1\"])\n", " err2 = np.array(pred[\"T2\"] - expt[\"T2\"])\n", " \n", " return np.concatenate((err1, err2))\n", " \n", "model_energy_fourth_order([CpH, CpS, Ua, Ub, Uc], plot=True)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "nbpages": { "level": 3, "link": "[2.4.7.2 Standard form](https://jckantor.github.io/cbe30338-2021/02.04-Model-Identification.html#2.4.7.2-Standard-form)", "section": "2.4.7.2 Standard form" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CpH = 4.4642229433310705, CpS = 0.8190620772014501, Ua = 0.032226735496058236, Ub = 0.01862452210295832, Uc = 0.033554024370968105\n" ] }, { "data": { "text/plain": [ "array([-0.221 , 0.10032875, 0.05752008, -0.00405231, -0.10773464,\n", " 0.01920575, 0.02181627, 0.03268211, 0.05934022, -0.12621606,\n", " -0.02560712, 0.22155593, 0.1591108 , 0.12013875, 0.14267453,\n", " 0.09875163, 0.08540225, 0.13037096, 0.05135871, 0.04902892,\n", " -0.09703112, -0.09303583, -0.06500128, -0.20674525, -0.32566391,\n", " -0.22615469, -0.12616143, -0.08732116, -0.16917961, -0.37119119,\n", " -0.39871904, -0.38303497, -0.3863195 , -0.15266185, -0.13605994,\n", " 0.01670928, 0.02122981, -0.05314745, 0.08779108, 0.06239935,\n", " 0.09510954, 0.02842961, 0.244774 , 0.09824684, 0.2274448 ,\n", " 0.14545713, 0.23302579, -0.01549275, -0.04315274, 0.31607625,\n", " 0.29086137, 0.36550651, 0.18295226, 0.25477598, 0.05819174,\n", " -0.19055652, -0.12624109, -0.06348875, -0.00238632, -0.16838589,\n", " 0.27369513, -0.446 , -0.50119113, -0.51353834, -0.49453376,\n", " -0.52704126, -0.5249296 , -0.46191438, -0.43668769, -0.33177506,\n", " -0.25803356, -0.35343691, -0.23397058, -0.16735761, -0.12678506,\n", " -0.05492989, -0.05271973, 0.10466706, 0.0275704 , 0.13124193,\n", " 0.25303202, 0.16776558, 0.19461196, 0.17308493, 0.19904272,\n", " 0.17668492, 0.20215753, 0.24412295, 0.07539325, 0.11601581,\n", " 0.23727338, 0.14868402, 0.07800115, 0.12121353, 0.05554524,\n", " 0.01045571, -0.01114647, 0.12013079, 0.01510873, -0.00699348,\n", " -0.01320108, -0.03383083, 0.12440592, -0.01963049, -0.01180309,\n", " 0.08812169, 0.02647401, 0.00262072, -0.08701869, -0.08883899,\n", " -0.00579806, -0.09870102, -0.10820023, -0.12779525, -0.05783289,\n", " -0.14850718, -0.19822316, -0.18305994, -0.17332694, -0.07350994,\n", " -0.26875958, -0.14489134])" ] }, "execution_count": 14, "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 = least_squares(model_energy_fourth_order, [CpH, CpS, Ua, Ub, Uc])\n", "CpH, CpS, Ua, Ub, Uc = results.x\n", "print(f\"CpH = {CpH}, CpS = {CpS}, Ua = {Ua}, Ub = {Ub}, Uc = {Uc}\")\n", "model_energy_fourth_order(results.x, True)" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 2, "link": "[2.4.8 Lab Assignment 2: Identification of a Multi-input, Multi-output Model for the Temperature Control Laboratory](https://jckantor.github.io/cbe30338-2021/02.04-Model-Identification.html#2.4.8-Lab-Assignment-2:-Identification-of-a-Multi-input,-Multi-output-Model-for-the-Temperature-Control-Laboratory)", "section": "2.4.8 Lab Assignment 2: Identification of a Multi-input, Multi-output Model for the Temperature Control Laboratory" } }, "source": [ "## 2.4.8 Lab Assignment 2: Identification of a Multi-input, Multi-output Model for the Temperature Control Laboratory\n", "\n", "Create one or more notebooks to show your results for the following exercises. The model you develop in this exercise will be used in the remainder of the semester for simulation and control design for your copy of the Temperature Control Laboratory." ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 3, "link": "[2.4.8.1 Exercise 1.](https://jckantor.github.io/cbe30338-2021/02.04-Model-Identification.html#2.4.8.1-Exercise-1.)", "section": "2.4.8.1 Exercise 1." } }, "source": [ "### 2.4.8.1 Exercise 1.\n", "\n", "Write two python functions, one called u1(t) and the other u2(t), that create the following input signals that will be used to test the Temperature Control Lab.\n", "\n", "* u1(t) and u2(t) are initially zero.\n", "* At time t=20, u1(t) jumps to 60% power, u2(t) remains at zero.\n", "* At time t=620, u2(t) jumps to 60% power, u1(t) remains at 60.\n", "* At time t=1020, u1(t) returns to 0, u2(t) remains at 60.\n", "* At time t=1420, u2(t) returns to zero. Experiment is over.\n", "\n", "Develop these functions, and plot the results for t=-100 to t=1800 (yes, beyond the end of the experiment) showing correct performance." ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 3, "link": "[2.4.8.2 Exercise 2.](https://jckantor.github.io/cbe30338-2021/02.04-Model-Identification.html#2.4.8.2-Exercise-2.)", "section": "2.4.8.2 Exercise 2." } }, "source": [ "### 2.4.8.2 Exercise 2.\n", "\n", "Use the functions created in Exercise 1 to obtain experimental data for your Temperature Control Lab. This will take some time (about 1/2 hour if everything works perfectly). Record T1, T2, Q1, Q2 using the Historian. Be careful to ...\n", "\n", "* Set P1=200, P2=100 before the experiment begins\n", "* Let the device reach equilibrium with ambient temperture before starting. Allow at least 10 minutes. Don't shortcut this (as tempting as that may be) since you will only get data that provide headaches later. \"Go slow to go fast.\"\n", "* You might use the box the kit came in to put a little \"tent\" over the device to protect from air currents.\n", "* Before starting, be sure the heat sinks are not touching, and that everything looks in good shape.\n", "* If your thermal paste looks like it is melting, stop the experiment immediately. Lower P1 and P2 by 25% and start over. Note this in your lab report.\n", "\n", "Save this data to a .csv file. " ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 3, "link": "[2.4.8.3 Exercise 3.](https://jckantor.github.io/cbe30338-2021/02.04-Model-Identification.html#2.4.8.3-Exercise-3.)", "section": "2.4.8.3 Exercise 3." } }, "source": [ "### 2.4.8.3 Exercise 3.\n", "\n", "To avoid overwriting or damaging the data you collected in Exercise 2, create a separate notebook for model fitting. Fit two models to your data:\n", "\n", "* Fit the first-order plus delay model to the results for \"T1\" using data up to t=620 (i.e, the data before you turn on the second heater.). What are the gain, time-constant, and time delay for your device?\n", "\n", "* Fit the fourth-order model (alternatively, the state-space model if you're comfortable with that formulation), and report all heat capacities, heat transfer coefficients. Note that you're fitting a two-input, two-output model which is very challenging. So the fit may not look quite as good as those shown above when u2(t) was held constant." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "nbpages": { "level": 3, "link": "[2.4.8.3 Exercise 3.](https://jckantor.github.io/cbe30338-2021/02.04-Model-Identification.html#2.4.8.3-Exercise-3.)", "section": "2.4.8.3 Exercise 3." } }, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "< [2.3 First Order Model for a Single Heater](https://jckantor.github.io/cbe30338-2021/02.03-First-Order-Model-for-a-Single-Heater.html) | [Contents](toc.html) | [Tag Index](tag_index.html) | [3.0 Feedback Control](https://jckantor.github.io/cbe30338-2021/03.00-Feedback-Control.html) >

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\"Download\"" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.5" } }, "nbformat": 4, "nbformat_minor": 4 }