{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "ChEn-3170: Computational Methods in Chemical Engineering Spring 2020 UMass Lowell; Prof. V. F. de Almeida **30Mar20**\n", "\n", "# Laboratory Work 09 (31Mar20)\n", "$\n", " \\newcommand{\\Amtrx}{\\boldsymbol{\\mathsf{A}}}\n", " \\newcommand{\\Bmtrx}{\\boldsymbol{\\mathsf{B}}}\n", " \\newcommand{\\Cmtrx}{\\boldsymbol{\\mathsf{C}}}\n", " \\newcommand{\\Mmtrx}{\\boldsymbol{\\mathsf{M}}}\n", " \\newcommand{\\Imtrx}{\\boldsymbol{\\mathsf{I}}}\n", " \\newcommand{\\Pmtrx}{\\boldsymbol{\\mathsf{P}}}\n", " \\newcommand{\\Qmtrx}{\\boldsymbol{\\mathsf{Q}}}\n", " \\newcommand{\\Lmtrx}{\\boldsymbol{\\mathsf{L}}}\n", " \\newcommand{\\Umtrx}{\\boldsymbol{\\mathsf{U}}}\n", " \\newcommand{\\xvec}{\\boldsymbol{\\mathsf{x}}}\n", " \\newcommand{\\yvec}{\\boldsymbol{\\mathsf{y}}}\n", " \\newcommand{\\zvec}{\\boldsymbol{\\mathsf{z}}}\n", " \\newcommand{\\avec}{\\boldsymbol{\\mathsf{a}}}\n", " \\newcommand{\\bvec}{\\boldsymbol{\\mathsf{b}}}\n", " \\newcommand{\\cvec}{\\boldsymbol{\\mathsf{c}}}\n", " \\newcommand{\\rvec}{\\boldsymbol{\\mathsf{r}}}\n", " \\newcommand{\\norm}[1]{\\bigl\\lVert{#1}\\bigr\\rVert}\n", " \\DeclareMathOperator{\\rank}{rank}\n", " \\DeclareMathOperator{\\abs}{abs}\n", "$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Name: `your name`" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Rubric for each assignment: \n", "\n", "| Content | Points |\n", "| ----------------------- | ------- |\n", "| Precision of the answer | 80% |\n", "| Answer Markdown readability | 10% |\n", "| Code readability | 10% |\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Guidance:\n", " + \n", " Save your work frequently to a file locally to your computer.\n", " \n", " + \n", " Before submitting, `Kernel` -> `Restart & Run All`, to verify your notebook runs correctly.\n", " \n", " + \n", " Save your file again.\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Introduction\n", "\n", "The modified Arrhenius expression includes an additional term dependent on the $\\alpha$-power of temperature, namely\n", "\n", "\n", "\\begin{equation*}\n", "k(T) = k_0 \\, \\bigl(R\\,\\beta\\bigr)^{-\\alpha} e^{-\\beta\\,E_\\text{a}} ,\n", "\\end{equation*}\n", "\n", "\n", "where $\\beta = \\frac{1}{R\\,T}$. Compute optimal values of parameters $k_0$, $E_\\text{a}$, and $\\alpha$ for the data provided below. The value of the universal gas constant, $R$, is provided in the data sets.\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "### Table of Contents\n", "* [Assignment 1 (25 pts)](#a1)\n", "* [Assignment 2 (25 pts)](#a2)\n", "* [Assignment 3 (25 pts)](#a3)\n", "* [Assignment 4 (25 pts)](#a4)\n", "---" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Assignment 1 (25 pts): For each item below respond in a separate notebook cell.\n", " 1. \n", "Import the reaction rate constant data from the course repository `data/modified-k_x_T_10pts.dat` and make a plot of $k$ versus $T$.\n", "\n", " 2. \n", "Assemble a linear system of equations with the given data points and compute the rank of the matrix of coefficients.\n", "\n", " 3. \n", "Compute the least squares optimal values (use your codes) for the parameters in the modified Arrhenius expression. Plot the experimental data and compare against the Arrhenius fit in the transformed plane. Is the Arrhenius fit a straight line? Explain your answer. Plot the experimental data and compare against the Arrhenius fit in the Cartesian plane. Match the content of the plots provided with this assignment.\n", "\n", " 4. \n", "Compute the goodness of fit and plot the objective function contours. Demonstrate that the value of the parameters computed for the fit are optimal by indicating on the countour plot the position of the mininum. Match the contour plot as close as possible.\n", "" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "R = 8.314 [J/(mol.K)]\n", "m = 10\n", "T = [373.15 402.93 432.71 462.48 492.26 522.04 551.82 581.59 611.37 641.15]\n", "k = [ 9.63 10.35 10.31 11.12 11.18 11.5 11.6 11.64 12.15 12.41]\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "'''1.1 Read and plot experimental data'''\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "matrix shape = (10, 3)\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Rank(A) = 3\n" ] } ], "source": [ "'''1.2 Build the matrix system'''\n" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "x_vec = [ 3.894e+00 2.320e+03 -1.473e-01]\n", "k_0 = 4.91257e+01 [1/s]\n", "E_a = 2.31978e+03 [J/mol]\n", "alpha = -1.47323e-01 []\n" ] } ], "source": [ "'''1.3 Compute LS values of the parameters in the modified Arrhenius expression'''\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "'''1.3 Plot of the transformed plane data and fit'''\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Is the fit a straight line? Explain:** " ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "'''1.3 Plot the data and fit in the Cartesian plane'''\n", " " ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "phi(x_LS) = 2.10546e-03\n", "sqrt(phi(x_LS)) = 4.58853e-02\n", "Mean(r_vec) = 3.10862e-16\n", "STD(r_vec) = 1.45102e-02\n", "Goodness of fit = 1.45102e-02\n" ] } ], "source": [ "'''1.4 Goodness of fit'''\n" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "'''1.4 Contour plot of objective function'''\n", " " ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "'''1.4 Contour plot of objective function'''\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Assignment 2 (25 pts): For each item below respond in a separate notebook cell.\n", " 1. \n", "Import the reaction rate constant data from the course repository `data/modified-k_x_T_30pts.dat` and make a plot of $k$ versus $T$.\n", "\n", " 2. \n", "Assemble a linear system of equations with the given data points and compute the rank of the matrix of coefficients.\n", "\n", " 3. \n", "Compute the least squares optimal values (use your codes) for the parameters in the modified Arrhenius expression. Plot the experimental data and compare against the Arrhenius fit in the transformed plane. Is the Arrhenius fit a straight line? Explain your answer. Plot the experimental data and compare against the Arrhenius fit in the Cartesian plane. Match the content of the plots provided with this assignment.\n", "\n", " 4. \n", "Compute the goodness of fit and plot the objective function contours. Demonstrate that the value of the parameters computed for the fit are optimal by indicating on the countour plot the position of the mininum. Match the contour plot as close as possible.\n", "" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "R = 8.314 [J/(mol.K)]\n", "m = 30\n", "T = [373.15 382.39 391.63 400.87 410.12 419.36 428.6 437.84 447.08 456.32\n", " 465.56 474.81 484.05 493.29 502.53 511.77 521.01 530.25 539.5 548.74\n", " 557.98 567.22 576.46 585.7 594.94 604.18 613.43 622.67 631.91 641.15]\n", "k = [ 9.98 9.65 10.22 10.43 10.13 10.21 10.48 10.58 10.43 10.71 10.85 10.74\n", " 11.11 11.04 11.42 11.21 10.81 11.32 11.65 11.53 11.77 11.87 11.68 11.89\n", " 11.95 11.67 11.81 11.76 12.48 12.26]\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAc0AAAHFCAYAAACQFqJwAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvOIA7rQAAIABJREFUeJzt3XucXHV5+PHPwzUJsCC3JIRIoNIgtcolYvGWUBARUVBrFdJfuUmIrdYqWvFWECxVi2JRLiJChCpgMSoKihRYIdaAUBHDRQNJlFxIBAUSQrgkz++Pc5Isy2xydnd2z+zs5/16zevMuc4z3zlznvl+55zvicxEkiRt3CZ1ByBJ0lBh0pQkqSKTpiRJFZk0JUmqyKQpSVJFJk1JkioyabaRiOiMiJa7higiFkTEgrrjkKT+MmkOsIj4RERk+ZhYdzzD3dofFt0eKyLirog4LSK2rjvG7sofHV3jXRMRj0fE7Ij454jYvEmvM+g/uiJir4j4ckTMKd/TMxGxOCKujYgTI2LEYMbTG63wI7WvMUTEcT18DxZGxP9ExBkRsWfdcbaizeoOoJ1FRAAnAgkEcBLw4VqDqsfBdQfQwDeABRSfyy7AUcDpwFsj4sDMfKa+0Hr0n8BjwKbAi4G3A+dQlO9baoyrTyLiX4HTKH68z6b4TFYAo4EpwMXAe4FJNYU4HPwK+F75fCSwM/Aq4FPAJyLiy8CHM/O5muJrOSbNgXUosDswA3gTcGxEfLxFD8gDJjMfrDuGBmZkZufakYg4Fbgb2A84muIA3mq+lJkL1o5ExJnAXcARETE5M39aW2S9FBEfBz4NPAS8MzNva7DMEcApgx3bMHNXZp7efWJEHERx3PoAMAKYPrhhtbDM9DFAD+Bqilrmq4EvlM/f1cOyp5fzpwDHALdR/OpeUM6fUM6fAfw5cBWwDFgDTCmX6SyX2Qz4ODAXeJriwPQ5YIseXnuvcrsPlcsvBb4FTGyw7IzyNSYAJwO/BlaV61wEbNtgnQVr30ej99tg+XXvtdv00cDZwG+AJylqXb8pY9qj4mfSuYHXPa+c95Vu088tp3+hwTprWxJuADZp8FlNAK4EHinL6Q7giF7uRwvWlnmDedeW8z7cYN5xwHeAecBTwBPAz4C/66G8Gz06uy27K/CVcptPA48C1wCv7MX7mQA8Uz5etpFlt2ww7W+BW4DHy/f1a+BjPSy7oHyMAv4D+H0Z9wPAR4FosM5bgRuBJeWyi4GfAv/Qm/ICDqL4Ttxblv1TwByK2vWIjRwD/ga4HVgJ/LHch8b15TProVyPo8F3rMFx4WmKY8x+A7lv9bas6nxY0xwgETGa4sv328z834h4AvgQMI0i4fXkFOANwA+Am4Ftu83/M4qE+lvgmxRNKk90W+ZbwOuAH5XzDgf+haLp5fhucR4GzAQ2L1/zAYoD49uBN0fEQZn5fw3i/DzwxnKdn1Ds9CcBLwH+egPvr08iYhTFl/LPKBLUDyiaVncDjqT4gTKvvy9TDp/tNv3DFD98PhgRN2XmtWVMe1Mk1KUUB4s13dbbjeLANw+4HNgeeBfw/Yg4JDNv7me8G4oZ4AKKg9AtFAlgB4p94fKImJiZnyqXe4yi1ndcGfOnu2xjwboXitiP4rPeHrieYr/ZkaJpe1ZEvC0zr6sQ8/EU+9uVmTlnQwtm5tNdxyPiLIoE+QjFfr6CohXnLOCNEfGGzOxeFpuXce9C8Z14roz5sxS1qHXvNyKmAV8FHqbYxx6h+N68vIz7fCqWF0VS3gv4X4ofNyOA11AkxynlPrC6wdv+B4pjxzUUyfpVFPvNKyJin7JMqsbQZ5l5f0R8G/g7itaXrseBpu5b9L2sBl/dWbtdH8CpFL+mPtZl2p0Uv9pe0mD508vlnwT2bTB/Aut/oZ3Vw2t2lvPvBLbvMn0rimS4GhjTZfqLgD9RHBj27ratv6A4IP1ft+kzytf4PfDiLtM3o/gCJXBAt3UW0M+aJsV/dgmc02D5LYBtKn4unY1eF9iJokaRwDsarPcSih8gfwDGUfxYmVOW6SEb+KxO6zbvjeX063qxLy2gQU0TmFjuLwns32C9P+uhrG6kSLLjus3rLA4JDWPYrNyHVgGTu83bBVhEcfB8QW2vwbZuLGN+Ty+/Uwd22ffGdIvtB+W8j/dQdtcBI7tM35nigP4YsHm37+jTwM4NXn/HquVVzt+DxjXZM2nQ6tTlO/EE8Jfd5n2rnPe3vYlhA7Ed1/071sNya1tSfjpQ+1ZfyqrOh2fPDoDyBKD3UCTIy7rMmkFRM3jPBla/KDN/uYH5S3n+r7VGPpqZf1w7kplPUtRKN+H5J1X8PbAdxYH93q4byMx7gK8B+5Y1qu7OyMzfd1n+OeDScvSAjcTXH091n5CZz2Tm8l5u57iIOD0iPh0RXwPuA8YC3wa+2+A1HqBoJdiR4gB2HsUPi3/PzP/p4TV+B3ym23aupzjo96WM/rmM+cyI+AbFAX4UcHZm3tkg5hf8l5zF/+nnUSSa3pyg9WaKWv6Xs9t/p5m5mKLlYUzFbY4thwt78foAJ5TDz2Tmw11e/zmKFpo19Pzd+qfMfKrLOsuA71O05HQ/q/05GtTcM/OR3gSbmfOyPPJ386Vy+MYeVj03M3/dbdrXyuFAfrcaWVQOd+o6scn7Vn/KatDZPDsw/priAHN9Zi7qMv1bFP/JHRcRn8oXNiNB0Zy3Ib/Kbk1WDdzRYNpD5fBFXaYdWA5fERGnN1jnz8vhSymaYvryGs3yU4ov8KllM+F1FM21d2Xfmm2ObTBtRmYe32A6AJl5ZUQcTHFgfj0wi+I/l570FNtDrC/73vhAg2mnZ2bDH1ER8WKKZq+DKc62HdltkXG9eO218e7Ww76y9vKEl1J8Nhuytkm50UFyQ/Yrhzd1n5GZv42IhcDuEbFdZj7WZfbj5Y+e7hrtr9+kOP/gnoi4imK/+1lm/qGXsRIRW1F8Zm+j+C5tw/r3Dj2X/2B/tzak4WfV5H2rP2U16EyaA2NaOZzRdWJmPhoRPwDewfr/4bp7uMG03syn2wFjrbWnjG/aZdoO5fCkjWyy0bWLVV+jKTLziYj4K4pa9ltZ/8vzkYg4n6L20ehHSE8OyszO8hrHl1JcunFcRDyYmZ/ZwHpXs7428+WNJOxGZQRFOfWllWf3zFxQXru4D3AhcFpEzMvMy7suGBF7UPwAexFwK8V/eo9TNCdPoPjRsGUvXnvtvvLOjSxX5TrXxRT/X+3ai9eH9f/vL+lh/hKKA/i2PL/sN/Q5QJf9NTO/GBGPUPyv+E/APwMZET8FPpKZjRLaC5T71U0UNcM5FOcx/IH1NdjT6Ln8B/W7tRG7lMN1PxqavW/1s6wGnUmzySJiJ4qTDACuiIgrelh0Go2T5sZ+fff21/mGPF4OX5GZdzdxu1WsPWmm0T64XaMVMnMhcGLZ/L03RY3+H4F/pUhCn2q03oaUifbuiHgLRW360xFxbaMm8ojYEfg6xRmNAF+KiJv7Ugvpj8xcBcyOiDcB9wMXRMSNZTPpWh+iSHTHZ+aMrutHxNE0rmlvyNp95cjMvKZvka8zi+KzO5iiPHsbwxig0WVMY7st1yeZeRlwWURsR3EC2Nsomoavj4iXlk27G3MkRRL4RmYe13VGRIxlwy0UreSgctj1kqBm71tDqqz8T7P5jqX4Q/xOigNCo8cfgEMiYve6gizNLoevq+G1/1QOxzeYt8GL2bNwT2Z+meJMY1j/Q6VPMnMlRXPTJhT/zz1PmahnUDQTfaB8jKU4uEb35QdDZi6hOGt0K174P/dLyuF3Gqw6uYdNrgaIiEa1mWbuK5dS1CLe0cP/5etERNcaxtofMlMaLPcSiprr/B5aWnotMx/LzOsy8ySKz357nv/+N1RefSn/vthQDP0SEXtRtCwkxV9LazV73xqssmoKk2bzrW26+4fMfE+jB8Up7Rs7IWgwXErRFHRaRLzgBIOI2CQipgzQa6/97/b4iFhX24yI8RQ1x+6xvCwiJjTYzuhyuLLBvN76NkUHB4eUF3d39SGKk2G+nZkXZ+bFFNfOHQZ8pAmv3Vdfpjg57Lhu3Z4tKIdTui4cEW+k5/3u0XL44gbzvk9Ru/vHiDi80coRcWB5adAGZdFBw+kUPy6vjYiGP5LKy6F+1GXSJeXwk2WLztrlNqU4V2ATeldzbfiaXffHLnYuh133sw2V14JyOKXb9veguGa6WTYUQ59FxGTgxxSf0QWZ+asusxeUwynd1unrvtXT9ppdVk1h82wTlQlmIvDrzNzQCT1fBz5BkTBOy5q6qCr/Y/0birNFZ0fEjcA9FE2nL6Y4+WMHimummv3at0XELRQn1NweETdRJMC3UFwD2L0GegjwxYj4X4omyWUUNYsjy3j/owkxZUScRlEe/0bRNEdEvBL4d2A+6/+vhqJzh1cC/xYRt2TmbAZZZq6MiM9S/Cd7BsX1dFBcT3g88N8R8R2Kk6heRpHkv01x3V93N1LULGZGxHUUZyr/LjMvz8xnI+LtFJ/NteXncBdFEhlPUQ57UNS+N/oDJjPPKpPTacAvyu3dwfpu9F5PcXLRHV3W+d+I+DzFNcdzIuJqiktu3lS+t1n0fz+4ElgVEbNY383i68r3dyfQ9UzpHsuL9dc8fygi/pKilvxi4AiK6xCbleQ2FEMV+3Q5sWtLirJ/FcXfH2uAL1KUd1dN3bcYvLJqjmZevzLcHxRn3iXF6e0bW/Yn5bJvK8dPp4frFsv5E9h4Dx6d9Hyd3XHl+sf1sO2vUPQgtIriOrH7KS7IP6rbsjPouXeaKeW807tNX0C36zTL6dtRnEq/jOLauDkUSekF75XiZJ0vUhxE/1Auv4Dif+FX9+Iz6txQOZfL3FEu8xaKk0rmUfRec0CDZSd1iWW7Kp/Vhj6nHpZf0FOZl/NHUBy41gAv7zL91RQnWPwJWE6RVI7awOe0KUVz7zyK5tPkhT0C7UzRKcAciuS4otxvrqa4CH6zXn5nXkpRW55T7nfPUJzQ8yOKawQb9fLz7vK9LC/313sofoQ26mWn4b7X03eOoru475ZlsLY3nl9SJI5telNeFD8mvll+Nk+Vcf4LRWWlUdm+IJ6Nff+rfGYbOR50fTxJcRnQ/1A097/gevKB2rd6W1Z1PqIMWJIkbYT/aUqSVJFJU5KkikyakiRVZNKUJKkik6YkSRUNu+s0d9xxx5wwYULdYTTdk08+yVZbbVV3GLWzHAqWw3qWRcFyKPRUDnfeeecjmblTg1WeZ9glzQkTJnDHHZX6XB5SOjs7mTJlSt1h1M5yKFgO61kWBcuh0FM5RMTvqqxv86wkSRWZNCVJqsikKUlSRSZNSZIqGnYnAvVkzZo1PPLIIzz22GOsXr267nB6bdttt+W+++6rO4zaVSmHESNGsOuuu7L55psPUlSS2oVJs7Rw4UIiggkTJrD55ptT032F+2z58uVss802dYdRu42VQ2by6KOPsnDhQnbfve57gEsaamyeLT355JOMGzeOLbbYYsglTFUXEeywww6sWrWq7lAkDUEmzS422cTiGA78USSpr8wSkiRVZNJUZd/85jc59NBD6w6jkojggQceqDsMSW2m9qQZEZdExLKImNNl2n9ExP0RcXdEfDcituth3QUR8euIuCsi2q9vvBYzdepUfvKTnwz663Z2drLrrrsO+utKUne1J01gBnBYt2k3AC/LzJcDvwU+toH1D8rMfTJz0gDFJ+C5556rOwRJql3tSTMzbwH+2G3aTzJz7VF6NtD61YwlS2DyZHj44QHZ/OLFi3nHO97BTjvtxO677865554LwOGHH84pp5yybrl3vetdnHDCCQDMmDGD17zmNbz//e9n2223Za+99uLGG29ct+zjjz/OiSeeyNixYxk3bhyf/OQn112junbdD37wg2y//facfvrpzJgxg9e+9rXr1o8Izj//fPbcc0+22WYbPvWpT/Hggw9y4IEH0tHRwd/+7d/yzDPPrFv+hz/8Ifvssw/bbbcdr371q7n77rvXzZswYQJnn302L3/5y9l2221517vexapVq3jyySd505vexOLFi9l6663ZeuutWbx4MbfffjsHHngg2223HWPHjuV973vf815L0hA0wMfRZhgK12meAFzVw7wEfhIRCXw1My9qtFBETAOmAYwePZrOzs4XLLPtttuyfPnyPge55ac+xeazZvHsJz/J0+ec0+ftNLJmzRre/OY3c/jhh3PRRRexaNEijjzySMaPH8+5557LgQceyOTJk1m2bBm33347P/vZz1i+fDmrVq3itttu44gjjmD+/Plcc801vP3tb+fuu+9m++23Z+rUqey888788pe/ZOXKlbzzne9kp5124oQTTli37lFHHcWDDz7Is88+y8yZM1m9evXzyumHP/whnZ2dLFq0iNe97nXceuutfPWrX2X77bfnkEMO4ZJLLmHq1KncddddHH/88Vx11VXst99+XHnllbzlLW/hzjvvZMsttyQzueKKK7j66qvZcsstOfTQQ7nwwgs58cQT+c53vsNJJ53E/fffv+51V61axWc+8xn2228/Fi1axDve8Q6++MUvMn369HXxrVixosfPdNWqVQ33g3axYsWKtn5/vWFZFIZCOex5zjnscuutLD75ZOZ+8IMD8hr9LofMrP0BTADmNJj+CeC7QPSw3i7lcGfgV8DrN/Za+++/fzZy7733Npy+USNGZMILHyNG9G17DcyePTvHjx//vGlnnXVWHnfccZmZ+Z3vfCfHjRuXO+ywQ956663rlrn00ktz7NixuWbNmnXTXvnKV+Zll12WDz/8cG6xxRa5cuXKdfO+9a1v5ZQpU9at2/01L7300nzNa16zbhzIWbNmrRvfb7/98rOf/ey68Q996EP5gQ98IDMzp0+fnp/85Ceft70///M/z87OzszM3G233fLyyy9fN+8jH/lInnzyyZmZefPNN+e4ceM2WEbnnHNOHnXUUfnEE0+si23u3Lk9Lt/nz3uIuPnmm+sOoWVYFoWWLodBOI6u1VM5AHdkhXxVe/NsTyLiWOAIYGr5hl4gMxeXw2UUyfWAwYuwNG8eHHMMjBpVjI8aBVOnwvz5TXuJ3/3udyxevJjttttu3eOss85i6dKlABxxxBGsXr2aiRMnPq/5FGDcuHHPuy5xt912Y/Hixfzud7/j2WefZezYseu2efLJJ7Ns2bJ1y44fP36jsY0ePXrd85EjR75gfMWKFevewxe+8IXnvYeHHnqIxYsXr1t+zJgx656PGjVq3bqN/Pa3v+WII45gzJgxdHR08PGPf5xHHnlko/FKakGDcBxtlpZMmhFxGPBR4K2ZubKHZbaKiG3WPgcOBeY0WnZAjR0LHR2wahWMGFEMOzqgSwLor/Hjx7P77rvz2GOPrXssX76c6667DoBPfOITTJw4kSVLlnDFFVc8b91FixbR9TfH73//e3bZZRfGjx/Plltuua6/3ccee4wnnniCe+65Z92yzewEYPz48XziE5943ntYuXIlRx999EbXbRTHe9/7Xvbaay/mzp3LE088wVlnnUUPv60ktbpBOI42S+1JMyKuAH4OTIyIhRFxIvAVYBvghvJykgvLZXeJiOvKVUcDsyLiV8DtwLWZ+eMa3gIsXQrTp8Ps2cWwyX9iH3DAAXR0dPC5z32Op556itWrVzNnzhx+8YtfcMstt3DppZfy1a9+lcsuu4z3v//9LFq0aN26y5Yt49xzz+XZZ5/lv//7v7nvvvs4/PDDGTt2LIceeiinnHIKTzzxBGvWrOHBBx/kpz/9aVNjX+ukk07iwgsv5LbbbiMzefLJJ7n22msr/Y88evRoHn30UR5//PF105YvX05HRwdbb701999/PxdccMGAxC1pkAzwcbRZaj8RKDMbVTW+3sOyi4HDy+fzgFcMYGjVzZy5/vl55zV985tuuik/+MEPOOWUU9h99915+umnmThxIh//+Mf5p3/6J77yla+wyy67MHHiRE488USOP/54rr/+egBe9apXMXfuXHbccUdGjx7N1VdfzQ477ADAZZddxqmnnsree+/N8uXL2WOPPfjoRz/a9PgBJk2axNe+9jXe9773MXfuXEaOHMlrX/taXv/612903b322oujjz6aPfbYg9WrV3Pvvfdy9tlnM23aND7/+c+z77778q53vYubbrppQGKXNAgG+DjaLDHcmrQmTZqUd9zxwn4Q7rvvPl760pfWEFFzNLq7x4wZM7j44ouZNWtWTVENvqp3exnqn/fGdHZ2MmXKlLrDaAmWRcFyKPRUDhFxZ1a43r/25llJkoYKk6YkSRWZNNvYcccdN6yaZiVpoJk0JUmqyKTZxXA7KWq48nOW1FcmzdLmm2/OU089VXcYGgTPPvssm21W+9VWkoYgk2Zp5513ZtGiRaxcudKaSBtbs2YNS5cuZdttt607FElDkD+3Sx0dHUBxC65nn3225mh6b9WqVYwYMaLuMGpXpRy22mordtxxx0GKSFI7MWl20dHRsS55DjWdnZ3su+++dYdRO8tB0kCyeVaSpIpMmpIkVWTSlCSpIpOmJEkVmTQlSarIpClJUkUmTUmSKjJpSpJUkUlTkqSKTJqSJFVk0pQkDU1LlsDkyfDww4P2kiZNSdLQdOaZMGsWnHHGoL2kSVOSNLSMHAkRcMEFsGZNMYwopg8wk6YkaWiZNw+OOQZGjSrGR42CqVNh/vwBf2mTpiRpaBk7Fjo6YNUqGDGiGHZ0wJgxA/7SJk1J0tCzdClMnw6zZxfDQToZyJtQS5KGnpkz1z8/77xBe1lrmpIkVWTSlCSpIpOmJEkVmTQlSarIpClJUkUmTUmSKjJpSpJUkUlTkqSKTJqSJFVk0pQkqSKTpiRJFZk0JUmqyKQpSVJFJk1JkioyaUqSVJFJU5KkikyakiRVZNKUJKkik6YkSRWZNCVJqsikKUlSRSZNSZIqMmlKklSRSVOSpIpqT5oRcUlELIuIOV2m/UdE3B8Rd0fEdyNiux7WPSwifhMRD0TEqYMXtSRpOKo9aQIzgMO6TbsBeFlmvhz4LfCx7itFxKbAecCbgL2BoyNi74ENVZI0nNWeNDPzFuCP3ab9JDOfK0dnA7s2WPUA4IHMnJeZzwBXAkcOaLCSpGGt9qRZwQnAjxpMHwc81GV8YTlNkqQBsVndAWxIRHwCeA74ZqPZDaZlD9uZBkwDGD16NJ2dnc0KsWWsWLGiLd9Xb1kOBcthPcuiYDkU+lsOLZs0I+JY4Ajg4MxslAwXAuO7jO8KLG60rcy8CLgIYNKkSTllypTmBtsCOjs7acf31VuWQ8FyWM+yKFgOhf6WQ0s2z0bEYcBHgbdm5soeFvsFsGdE7B4RWwDvBq4ZrBglScNP7UkzIq4Afg5MjIiFEXEi8BVgG+CGiLgrIi4sl90lIq4DKE8Ueh9wPXAf8O3MvKeWNyFJdVuyBCZPhocfrjuStlZ782xmHt1g8td7WHYxcHiX8euA6wYoNEkaOs48E2bNgjPOgPPPrzuatlV7TVOS1A8jR0IEXHABrFlTDCOK6Wo6k6YkDWXz5sExx8CoUcX4qFEwdSrMn19vXG3KpClJQ9nYsdDRAatWwYgRxbCjA8aMqTuytmTSlKShbulSmD4dZs8uhp4MNGBqPxFIktRPM2euf37eefXFMQxY05QkqSKTpiS1Iq+7bEkmTUlqRV2vu1TLMGlKUm8NZC3Q6y5bmklTknprIGuBXnfZ0kyaklTVYNQCve6ypZk0JamqwaoFet1ly/I6TUmqarBqgV532bKsaUpSb1gLHNasaUpSb1gLHNasaUqSqrHDBZOmJKkiO1wwaUqSNsIOF9YxaUqSNswOF9YxaUqSNswOF9YxaUqSJ7hsnJfaAF5yIknPP8Hl/PPrjqY1eakNYE1T0nDmCS4Dqw1r8CZNScOXJ7gMrDa8RMWkKWn48gSXgdHGNXiTpqThzRNcmq+Na/CeCCRpePMEl+Zr4xq8NU1JUvO1aQ3emqYkqfnatAZvTVOSpIpMmpIkVWTSlKTB0IYX+g9HJk1JGgxteKH/cGTSlKSB1KoX+lvz7ROTpqTWN5QP8K16ob813z4xaUpqfUP5AN9qF/q3as13iDBpSmpd7XKAb6UL/Vu15jtE2LmBpNY1bx58+MPwve/BypXFAf5tb4Ozz647st5ppQv9W63mO8RY05TUujzAD4xWqvkOMdY0JbW2tQf4adPgoouKk4LUP61U8x1iTJqSWpsHeLUQm2clSarIpClJUkUmTUmSKjJpSpJUkUlTkqSKTJqSJFVk0pQkqSKTpiRJFZk0JUmqyKQpqf0M5ftvqqWZNCW1n6F8/021tNqTZkRcEhHLImJOl2nvjIh7ImJNREzawLoLIuLXEXFXRNwxOBFLalkN7r855aCDht79N9Wyak+awAzgsG7T5gBvB26psP5BmblPZvaYXCUNEw1usLz0kEO8wbKapva7nGTmLRExodu0+wAioo6QJA1VDe6/+dyoUd5/U03TCjXN/kjgJxFxZ0RMqzsYSS2g2w2Wt/jTn+qOSG0kMrPuGChrmj/MzJd1m94JfDgzG/5fGRG7ZObiiNgZuAF4f2a+oEm3TKjTAEaPHr3/lVde2dw30AJWrFjB1ltvXXcYtbMcCpbDepZFwXIo9FQOBx100J1V/uarvXm2PzJzcTlcFhHfBQ6gwf+gmXkRcBHApEmTcsqUKYMZ5qDo7OykHd9Xb1kOBcthPcuiYDkU+lsOQ7Z5NiK2ioht1j4HDqU4gUiSpAFRe9KMiCuAnwMTI2JhRJwYEW+LiIXAgcC1EXF9uewuEXFduepoYFZE/Aq4Hbg2M39cx3uQJA0PtTfPZubRPcz6boNlFwOHl8/nAa8YwNAkSXqe2muakiQNFSZNSZIqMmlK7c7Oy6WmMWlK7c7Oy6WmMWlK7apB5+VE2Hm51A8mTaldNei8nKlT7bxc6geTptSuGnReTkeHnZdL/WDSlNpZt87LPRlI6p/aOzeQNIBmzlz//Lzz6otDahPWNCVJqsikKUlSRSZNSZIqMmlKklSRSVOSpIpMmpIGl33haggzaUoaXPaFqyHMpClpcNgXrtqASVPS4LAvXLUBk6akwWFfuGoDJk1Jg8cdp8EIAAAVVklEQVS+cDXE2fespMFjX7ga4qxpSpJUkUlTkqSKTJqSJFVk0pQkqSKTpiRJFZk0JUmqqPIlJxHx9j5s/0eZ+VQf1pMkqeX05jrNq3u57QT2BOb1cj1JdVqyBN79brjqKnvrkbrpbfPsmMzcpMoDWDkQAUsaYN6FROpRb5LmN4DeNLX+F/BE78KRVBvvQiJtVOWkmZnHZ+byXiz/3sx8pG9hSRp03oVE2ijPnpVU8C4k0kb1K2lGxKuaFYikFuBdSKQN6u9dTv4beHEzApHUArwLibRBG02aEfHtnmYB2zc3HEmSWleVmuYhwP8DVnSbHsDrmx6RJEktqkrSvBVYkZk/7T4jIu5ufkiSJLWmjSbNzDxyA/Pe0NxwJElqXb0+ezYixg1EIJIktbq+XHLyo6ZHIQ1XS5bA5Mle2iENEX1JmtH0KKThyn5epSGlL0kzmx6FNNzYz6s0JNmNnlQH+3mVhiSTplQH+3mVhiT/05TqYj+v0pDT675nM/MvByIQadixn1dpyOlT82xE7B0RE7uMvyEi/isiPhYRmzYvPEmSWkdf/9P8OrAvQETsCnyfovP2fwQ+05zQJElqLX1Nmi8F/q98/k7gtsw8nKJj96ObEZikBuwMQapVX5PmpsAz5fODgevK5w8Co/sblKQe2BmCVKu+Js05wHsj4nUUSfPH5fRxwCPNCExSF3aGILWEvibNjwInAZ3AFZn563L6W4Hbe7OhiLgkIpZFxJwu094ZEfdExJqImLSBdQ+LiN9ExAMRcWrv34Y0RNgZgtQS+pQ0M/MWYCdgx8w8ocusrwLv7eXmZgCHdZs2B3g7cEtPK5Vn6Z4HvAnYGzg6Ivbu5WtLQ4OdIUgtoc89AmXm6sz8U7dpCzJzWS+3cwvwx27T7svM32xk1QOABzJzXmY+A1wJ9HjvT2nIszMEqXaVOzeIiAOAOzNzdcXl9wfuzsxn+xrcRowDHuoyvhB41QC9llQ/O0OQatebHoF+DowB/lBx+ZuBfYB5vQ2qokbd+TW8A0tETAOmAYwePZrOzs4BCqk+K1asaMv31VuWQ8FyWM+yKFgOhf6WQ2+SZgD/HhErKy6/RR/i6Y2FwPgu47sCixstmJkXARcBTJo0KadMmTLAoQ2+zs5O2vF99ZblULAc1rMsCpZDob/l0JukeQvwZ71Y/ufAU70Lp1d+AewZEbsDi4B3A8cM4OtJkoa5ykkzM6cMRAARcQUwBdgxIhYCp1GcGPRlijN0r42IuzLzjRGxC3BxZh6emc9FxPuA6yk6W7gkM+8ZiBglSYI+3OWk2TKzp273vttg2cXA4V3Gr2N9b0SSJA0ob0ItSVJFJk1Jkirq6/00X9zsQCRJanV9rWnOjIgtG82IiBH9iEeSpJbV16T5AOV1j12VZ7fe2q+IJElqUX1NmicA+0fE+9dOiIh9KO5w8mAzApMkqdX06ZKTzFwZEe8AfhYRvwR2BC4HzsnMf21mgJIktYredNh+PXAX8Mty+BuK/lx/WG7npMy8YiCClCSpFfSmpvlLig7Y/x4YDawEfg2sBr4N/DYitszMp5sepSRJLaA33eiduvZ5RIwG9qVIovsAr6f4n3NNRMzNzL9odqCSJNWtr/9pLgV+XD4AiIiRFAn05c0JTWoBS5bAu98NV10FY8bUHY2kmjWtR6DMfCozf56ZX23WNqXanXkmzJoFZ5xRdySSWoDd6EmNjBwJEXDBBbBmTTGMKKZLGrZMmlIj8+bBMcfAqFHF+KhRMHUqzJ9fb1ySamXSlBoZOxY6OmDVKhgxohh2dPi/pjTMmTSlnixdCtOnw+zZxfDhh+uOqDUtWQKTJ1s+GhZqvwm11LJmzlz//Lzz6ouj1XU9Wer88+uORhpQ1jQl9Y0nS2kYMmlK6htPltIwZNKU1DeeLKVhyKQpqe88WUrDjCcCSeo7T5bSMGNNU5KkikyakiRVZNKUmskL/aW2ZtKUmsm7okhtzaQpNYMX+kvDgklTw8dANp16ob80LJg0NXwMZNOpF/pLw4JJU+1vsJpOvdBfant2bqD2N28efPjD8L3vwcqVRdPp294GZ5/d3NfxQn+p7VnTVPuz6VRSk5g0NTzYdCqpCWye1fBg06mkJrCmKUlSRSZNSZIqMmlKklSRSVOSpIpMmpIkVWTSlCSpIpOmJEkVmTQlSarIpClJUkUmTUmSKjJpqnUM5E2iJakJTJpqHQN5k2hJagKTpuo3WDeJlqR+MmmqfvPmwTHHFDeHhmI4dSrMn19vXJLUjUlT9fMm0ZKGCJOmWoM3iZY0BHgTarUGbxItaQiwpilJUkW1J82IuCQilkXEnC7Tto+IGyJibjl8UQ/rro6Iu8rHNYMXtSRpOKo9aQIzgMO6TTsVuDEz9wRuLMcbeSoz9ykfbx3AGCVJqj9pZuYtwB+7TT4S+Eb5/BvAUYMalCRJDdSeNHswOjOXAJTDnXtYbkRE3BERsyPCxCpJGlCRmXXHQERMAH6YmS8rxx/LzO26zP9TZr7gf82I2CUzF0fEHsBNwMGZ+WCD5aYB0wBGjx69/5VXXjkwb6RGK1asYOutt647jOfZ4tFH2fuMM7j3tNN4ZvvtB+U1W7Ec6mA5rGdZFCyHQk/lcNBBB92ZmZM2uoHMrP0BTADmdBn/DTC2fD4W+E2FbcwA/mZjy+2///7Zjm6++ea6Q3ih9743c5NNiuEgaclyqIHlsJ5lUbAcCj2VA3BHVshXrdo8ew1wbPn8WOD73ReIiBdFxJbl8x2B1wD3DlqE6pl9yUpqU7UnzYi4Avg5MDEiFkbEicBngTdExFzgDeU4ETEpIi4uV30pcEdE/Aq4GfhsZpo0W4F9yUpqU7X3CJSZR/cw6+AGy94BvKd8/r/AXw5gaOor+5KV1KZqr2mqTQ1GX7LetFrSIKu9pqnm2OLRR4sEctVVrVGjG4y+ZLvetPr88wfmNSSpC2uabWK3yy5bn0DanScaSaqJSXOoKxPIuGuuGT4JxBONJNXEpDnUlQlk9ZZbFuPDIYF4opGkmpg0h7oygWzyzDPDK4F402pJNfBEoHawdCmL3/pWxn3603DRRcVZpe3Om1ZLqoFJsx3MnMnczk7GveIVJhBJGkA2z0qSVJFJU5KkikyakiRVZNKUJKkik6YkSRWZNCVJqsikKUlSRSZNSZIqMmlKklSRSVOSpIpMmpIkVWTSlCSpIpOmJEkVmTQlSarIpClJUkUmTUmSKjJpSpJUkUlTkqSKTJqtaskSmDwZHn647kgkSSWTZqs680yYNQvOOKPuSCRJJZNmqxk5EiLgggtgzZpiGFFMr5M1X0kyabacefPgmGNg1KhifNQomDoV5s+vNy5rvpJk0mw5Y8dCRwesWgUjRhTDjg4YM6aeeFq15itJNTBptqKlS2H6dJg9uxjW2STaqjVfSarBZnUHoAZmzlz//Lzz6osDWq/mK0k1sqapjWulmq8k1ciapjaulWq+klQja5qSJFVk0pQkqSKT5nBlZwWS1GsmzeHKzgokqddMmsONnRVIUp+ZNIcbOyuQpD4zaQ43dlYgSX1m0hyO7KxAkvrEzg2GIzsrkKQ+saYpSVJFJk1JkioyaUqSVJFJU5KkikyakiRVZNKUJKkik6YkSRWZNCVJqqj2pBkRl0TEsoiY02Xa9hFxQ0TMLYcv6mHdY8tl5kbEsYMXtSRpOKo9aQIzgMO6TTsVuDEz9wRuLMefJyK2B04DXgUcAJzWU3KVJKkZak+amXkL8Mduk48EvlE+/wZwVINV3wjckJl/zMw/ATfwwuQrSVLT1J40ezA6M5cAlMOdGywzDnioy/jCctrAW7IEJk+2o3NJGmaGcoft0WBaNlwwYhowDWD06NF0dnb264X3POccdrn1VhaffDJzP/jBfm2rWVasWNHv99UOLIeC5bCeZVGwHAr9LYdWTZpLI2JsZi6JiLHAsgbLLASmdBnfFehstLHMvAi4CGDSpEk5ZcqURott3MiRxf0nS+OuuYZx11xT3Jfyqaf6ts0m6ezspM/vq41YDgXLYT3LomA5FPpbDq3aPHsNsPZs2GOB7zdY5nrg0Ih4UXkC0KHltIEzbx4ccwyMGlWMjxoFU6fC/PkD+rKSpNZQe9KMiCuAnwMTI2JhRJwIfBZ4Q0TMBd5QjhMRkyLiYoDM/CNwJvCL8nFGOW3gjB0LHR1FbXPEiGLY0QFjxgzoy0qSWkPtzbOZeXQPsw5usOwdwHu6jF8CXDJAoTW2dClMnw7TpsFFFxUnBUmShoXak+aQM3Pm+ufnnVdfHJKkQVd786wkSUOFSVOSpIpMmpIkVWTSlCSpIpOmJEkVmTQlSarIpClJUkUmTUmSKjJpSpJUkUlTkqSKTJqSJFVk0pQkqSKTpiRJFZk0JUmqyKQpSVJFJk1JkioyaUqSVJFJU5KkikyakiRVZNKUJKkik6YkSRWZNCVJqsikKUlSRSZNSZIqMmlKklSRSVOSpIpMmpIkVWTSlCSpIpOmJEkVmTQlSarIpClJUkUmTUmSKjJpSpJUkUlTkqSKTJqDYckSmDwZHn647kgkSf1g0hwMZ54Js2bBGWfUHYkkqR9MmgNp5EiIgAsugDVrimFEMV2SNOSYNAfSvHlwzDEwalQxPmoUTJ0K8+fXG5ckqU9MmgNp7Fjo6IBVq2DEiGLY0QFjxtQdmSSpD0yaA23pUpg+HWbPLoaeDCRJQ9ZmdQfQ9mbOXP/8vPPqi0OS1G/WNCVJqsikKUlSRSZNSZIqMmlKklSRSVOSpIpMmpIkVWTSlCSpIpOmJEkVmTQlSarIpClJUkUtnTQj4gMRMSci7omIf24wf0pEPB4Rd5WPf60jTknS8NCyfc9GxMuAk4ADgGeAH0fEtZk5t9uit2bmEYMeoCRp2GnlmuZLgdmZuTIznwN+Cryt5pgkScNYKyfNOcDrI2KHiBgFHA6Mb7DcgRHxq4j4UUT8xeCGKEkaTlq2eTYz74uIzwE3ACuAXwHPdVvs/4DdMnNFRBwOfA/Ys/u2ImIaMK0cXRERvxm4yGuzI/BI3UG0AMuhYDmsZ1kULIdCT+WwW5WVIzObG84AiYizgIWZef4GllkATMrMYbdjRMQdmTmp7jjqZjkULIf1LIuC5VDobzm0cvMsEbFzOXwx8Hbgim7zx0RElM8PoHg/jw52nJKk4aFlm2dL34mIHYBngX/MzD9FxHSAzLwQ+BvgvRHxHPAU8O4cKlVnSdKQ09JJMzNf12DahV2efwX4yqAG1bouqjuAFmE5FCyH9SyLguVQ6Fc5DJn/NCVJqltL/6cpSVIrMWkOIRGxaUT8MiJ+WI7vHhG3RcTciLgqIrYop29Zjj9Qzp9QZ9zN1qAcZkTE/C7dKe5TTo+IOLcsh7sjYr96I2+uiFgQEb8u3/Md5bTtI+KGcp+4ISJeVE5v27LooRxOj4hFXfaJw7ss/7GyHH4TEW+sL/LmiojtIuLqiLg/Iu6LiAOH6f7QqByatj+YNIeWDwD3dRn/HHBOZu4J/Ak4sZx+IvCnzHwJcE65XDvpXg4AH8nMfcrHXeW0N1Fct7snxXW6FwxijIPloPI9rz2F/lTgxnKfuLEch/Yvi+7lAMV3Y+0+cR1AROwNvBv4C+Aw4PyI2LSGeAfCfwI/zsy9gFdQfEeG4/7QqBygSfuDSXOIiIhdgTcDF5fjAfw1cHW5yDeAo8rnR5bjlPMPXntpzlDXvRw24kjgsizMBraLiLEDGmD9un723feJ4VYWjRwJXJmZT2fmfOABiv6th7SI6ABeD3wdIDOfyczHGGb7wwbKoSe93h9MmkPHl4B/AdaU4zsAj5X98gIsBMaVz8cBDwGU8x8vl28H3cthrX8rm5nOiYgty2nryqHUtYzaQQI/iYg7o+j1CmB0Zi4BKIc7l9PbuSwalQPA+8p94pK1zZK0bznsAfwBuLT86+LiiNiK4bc/9FQO0KT9waQ5BETEEcCyzLyz6+QGi2aFeUNWD+UA8DFgL+CVwPbAR9eu0mAzQ74cunhNZu5H0dT2jxHx+g0s285l0agcLgD+DNgHWAJ8oVy2XcthM2A/4ILM3Bd4kvVNsY0Mt3Jo2v5g0hwaXgO8NYpuAq+kaJb9EkWTytprbXcFFpfPF1J2bl/O3xb442AGPEBeUA4R8V+ZuaRsZnoauJT1zSvryqHUtYyGvMxcXA6XAd+leN9L1zazlcNl5eJtWxaNyiEzl2bm6sxcA3yN9t8nFlJ0M3pbOX41RfIYbvtDw3Jo5v5g0hwCMvNjmblrZk6g+NP6psycCtxM0SsSwLHA98vn15TjlPNvaoeeknooh7/rclAIiv9s5pSrXAP8fXmm4F8Bj69tqhrqImKriNhm7XPgUIr33fWz775PtF1Z9FQO3f6fexvP3yfeHcUZ5rtTnAhz+2DGPBAy82HgoYiYWE46GLiXYbY/9FQOzdwfWrpHIG3UR4ErI+IzwC8p//wuh5dHxAMUNcx31xTfYPlmROxE0dRyFzC9nH4dxS3lHgBWAsfXE96AGA18tzy/azPgW5n544j4BfDtiDgR+D3wznL5di2Lnsrh8iguPUpgAXAyQGbeExHfpkgoz1F0z7m6lsib7/0U34UtgHkUn/EmDK/9ARqXw7nN2h/sEUiSpIpsnpUkqSKTpiRJFZk0JUmqyKQpSVJFJk1JkioyaUqSVJFJUxqGIqIzIrJ8/FUv1pvRZb2/2fgaUnsxaUpDWEQc2iWJ9fT4fz2sfikwFriz3NaMKO9R2mX7R0TEyoj4t3LSB8p1pGHJHoGkoe1Wnp/Ebge+DZzdZVpP/Q6vLLsda6hMthcD/5KZ/wmQmY8Dj7fJneakXjNpSkNYZj4FPAUQEdtSdDj9sw0lwyoi4gPA54H3ZObl/Q5UahMmTal97EfR/273W6f1SkScCZwCvD0zr21GYFK7MGlK7WN/4NHM/H0/tvEG4M3AESZM6YU8EUhqH/sB/9fPbcwBHgROi4jt+h+S1F5MmlL72I9+Ns1S3NV+MsWNy/8nIl7U76ikNmLSlNpARGxNcQPd/tY0ycxFwBRgK+DGiNihv9uU2oVJU2oP+1J8n/udNAEycwlF4twCuCkidmzGdqWhzqQptYf9gMcp7lTfFJm5FDioHL05InZu1ralocqzZ6U2UHY+8J/93MZxDab9AXhFf7YrtRNrmtLwNS0iVkTEK6uuEBEXRsSKgQxKamWRmXXHIGmQRcQ4YGQ5+lBmPl1xvZ2BjnJ0SWY+ORDxSa3KpClJUkU2z0qSVJFJU5KkikyakiRVZNKUJKkik6YkSRWZNCVJqsikKUlSRf8f0sKGhVIlGkgAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "'''2.1 Read and plot experimental data'''\n" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "matrix shape = (30, 3)\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Rank(A) = 3\n" ] } ], "source": [ "'''2.2 Build the matrix system'''\n" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "x_vec = [7.616e-01 4.546e+02 2.825e-01]\n", "k_0 = 2.14173e+00 [1/s]\n", "E_a = 4.54575e+02 [J/mol]\n", "alpha = 2.82450e-01 []\n" ] } ], "source": [ "'''2.3 Compute LS values of the parameters in the modified Arrhenius expression'''\n" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "'''2.3 Plot of the transformed plane data and fit'''\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Is the fit a straight line? Explain:**" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "'''2.3 Plot the data and fit in the Cartesian plane'''\n", "\n", "plot_mod_arrhenius_fit_cartesian(r_cte, temp_vec, k_cte_vec, k_0, energy_a, alpha)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "phi(x_LS) = 9.04154e-03\n", "sqrt(phi(x_LS)) = 9.50870e-02\n", "Mean(r_vec) = 4.44089e-16\n", "STD(r_vec) = 1.73604e-02\n", "Goodness of fit = 1.73604e-02\n" ] } ], "source": [ "'''2.4 Goodness of fit'''\n", "\n", "r_vec = b_vec - a_mtrx @ x_vec\n", "phi_ls = np.linalg.norm(r_vec)**2\n", "\n", "print('phi(x_LS) = %8.5e'%phi_ls)\n", "print('sqrt(phi(x_LS)) = %8.5e'%math.sqrt(phi_ls)) # norm of the residual vector\n", "print('Mean(r_vec) = %8.5e'%np.mean(r_vec))\n", "print('STD(r_vec) = %8.5e'%np.std(r_vec))\n", "print('Goodness of fit = %8.5e'%math.sqrt(phi_ls/n_pts))" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "'''2.4 Contour plot of objective function'''\n", "\n", "n_plot_pts = 300\n", "\n", "objective_function_data = get_mod_arrhenius_objective_function_data(n_plot_pts, a_mtrx, x_vec, b_vec)\n", "\n", "plot_mod_arrhenius_objective_function( objective_function_data, x_vec, delta_factor=1 )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Assignment 3 (25 pts): For each item below respond in a separate notebook cell.\n", " 1. \n", "Import the reaction rate constant data from the course repository `data/modified-k_x_T_90pts.dat` and make a plot of $k$ versus $T$.\n", "\n", " 2. \n", "Assemble a linear system of equations with the given data points and compute the rank of the matrix of coefficients.\n", "\n", " 3. \n", "Compute the least squares optimal values (use your codes) for the parameters in the modified Arrhenius expression. Plot the experimental data and compare against the Arrhenius fit in the transformed plane. Is the Arrhenius fit a straight line? Explain your answer. Plot the experimental data and compare against the Arrhenius fit in the Cartesian plane. Match the content of the plots provided with this assignment.\n", "\n", " 4. \n", "Compute the goodness of fit and plot the objective function contours. Demonstrate that the value of the parameters computed for the fit are optimal by indicating on the countour plot the position of the mininum. Match the contour plot as close as possible.\n", "" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "R = 8.314 [J/(mol.K)]\n", "m = 90\n", "T = [373.15 376.16 379.17 382.18 385.19 388.21 391.22 394.23 397.24 400.25\n", " 403.26 406.27 409.29 412.3 415.31 418.32 421.33 424.34 427.35 430.36\n", " 433.38 436.39 439.4 442.41 445.42 448.43 451.44 454.45 457.46 460.48\n", " 463.49 466.5 469.51 472.52 475.53 478.54 481.55 484.57 487.58 490.59\n", " 493.6 496.61 499.62 502.63 505.64 508.66 511.67 514.68 517.69 520.7\n", " 523.71 526.72 529.73 532.75 535.76 538.77 541.78 544.79 547.8 550.81\n", " 553.82 556.84 559.85 562.86 565.87 568.88 571.89 574.9 577.91 580.92\n", " 583.94 586.95 589.96 592.97 595.98 598.99 602. 605.01 608.03 611.04\n", " 614.05 617.06 620.07 623.08 626.09 629.11 632.12 635.13 638.14 641.15]\n", "k = [ 9.61 9.78 9.66 10.07 10.19 10.38 9.83 9.86 10.05 9.79 10.39 10.26\n", " 10.1 9.96 10.28 10.31 10.49 10.44 10.38 10.5 10.33 10.62 10.45 11.09\n", " 10.9 10.39 10.71 10.75 10.63 10.79 10.63 11.01 10.98 10.81 10.64 11.27\n", " 10.56 10.73 10.99 10.9 11.06 10.68 11.42 10.95 11.11 10.98 10.99 10.79\n", " 11.2 11.43 11.33 11.54 11.49 11.57 11.23 11.18 11.46 11.89 11.34 11.51\n", " 11.55 11.71 11.94 11.3 11.81 11.42 11.71 11.84 11.48 11.89 11.81 12.21\n", " 11.88 11.8 11.97 12.19 11.7 12.08 12.1 11.94 12. 12.07 12.05 12.41\n", " 12.13 11.83 12.14 12.13 12.54 12.2 ]\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "'''3.1 Read and plot experimental data'''\n", "\n", "(r_cte, r_cte_units, n_pts, temp_vec, k_cte_vec) = read_arrhenius_experimental_data('data/modified-k_x_T_90pts.dat')\n", " \n", "print('R = %4.3f %s'%(r_cte,r_cte_units))\n", "print('m = ',n_pts)\n", "np.set_printoptions(precision=2)\n", "print('T =',temp_vec)\n", "print('k =', k_cte_vec)\n", "\n", "plot_arrhenius_experimental_data(temp_vec, k_cte_vec)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "matrix shape = (90, 3)\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Rank(A) = 3\n" ] } ], "source": [ "'''3.2 Build the matrix system'''\n", "\n", "(a_mtrx, b_vec) = build_mod_arrhenius_matrix( r_cte, temp_vec, k_cte_vec )\n", "\n", "#print('a_mtrx =\\n',a_mtrx)\n", "#print('b_vec =',b_vec)\n", "\n", "plot_matrix(a_mtrx, title='Arrhenius Fit Matrix')\n", "\n", "print('Rank(A) =',matrix_rank(a_mtrx))\n", "#print('np.linalg rank(A) =',np.linalg.matrix_rank(a_mtrx))" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "x_vec = [ 0.327 269.689 0.345]\n", "k_0 = 1.38731e+00 [1/s]\n", "E_a = 2.69689e+02 [J/mol]\n", "alpha = 3.44934e-01 []\n" ] } ], "source": [ "'''3.3 Compute LS values of the parameters in the modified Arrhenius expression'''\n", "\n", "x_vec = solve( a_mtrx.transpose()@a_mtrx, a_mtrx.transpose()@b_vec, pivoting_option='partial' ) \n", "#print('||x_vec - x_vec NumPy|| = %1.3e'%np.linalg.norm(x_vec-np.linalg.solve( a_mtrx.transpose()@a_mtrx, a_mtrx.transpose()@b_vec )))\n", "\n", "np.set_printoptions(precision=3,threshold=100,edgeitems=3)\n", "print('x_vec =',x_vec)\n", "\n", "k_0 = math.exp(x_vec[0])\n", "energy_a = x_vec[1]\n", "alpha = x_vec[2]\n", "\n", "print('k_0 = %8.5e [1/s]'%k_0)\n", "print('E_a = %8.5e [J/mol]'%energy_a)\n", "print('alpha = %8.5e []'%alpha)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAcwAAAGYCAYAAADPxNJnAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvOIA7rQAAIABJREFUeJzs3XmcT9X/wPHX2zLMGLvsspRotUaWNCgihMqEhIT2L+1FpeWXb30LqVBaLClUWqTFOtoklFaVEtFMCi3GNpjz++Pcz/SZj88681ln3s/H4z5mPveee++597O87zn3nHPFGINSSiml/CsR6wwopZRSiUADplJKKRUEDZhKKaVUEDRgKqWUUkHQgKmUUkoFQQOmUkopFYSED5gikiYiRkQmeMzPEJFj+syISGkRuVdENovIIWfdviLSwPl/lkf6Wc78BhE8hgnOPtIitY9w8HWuY01Ehjn5GhbrvCiliq6QA6bzw2REJFdETvCTbpVb2mGFymV43QTcDWQCjwD3At/FNEeFICIpIvKXc55fjHV+iju3iwr36bCIZIrIIhHpFOs8enK74HCfDonINhGZJyLNwrSfqF9wiUiSiIwQkSUikuUc114R2SgiU0TkjGjlJVTxcIFamDyIyFYv34PdIvKViMwVkUtEJCnW+QxFqQKud8RZdwRwp+dCEWkMnOOWLhYuB1K8zO8FZAPnGWNyXDNFpDRwMvB3dLIXNulARcAA/UWkqjFmd4zzFG2vAZ8AWbHOiJttwCzn/xSgFdAP6Csi6caYl2OVMT++AF53/q8AdAAGAReJSFdjzEcxy1kBiMhJ2OM5GdgFLAN+AZKAU4CrgBtEpK8x5s2YZbToewz4C1tAqwA0wX4XLgM2i8gQY8zaGOYvaAUNZjuxP07DReRuY8wRj+VXAgK8BfQtRP4KzBjzi49FtYHd7sHSSX+YxCxpjgJygUeBW4ChwKSY5ijKjDF/E38XOluNMRPcZ4jI7cBE4GEgHgPmRi95ngGMBh4AOsciUwUhIjWAFUBdYApwpzHmgEea6sA9QOXo57BYmWKM2eo+Q0QqAvcD1wPvichZxpj4//01xoQ0YUsyO7A/1Abo67G8NPAb8BH2S2aAYV620xiYA/wK5GCrSOcAjX3stwbwLDZYHwA2YoNDmrOPCR7pM+zh5b2e5aTznLY6yxs4r2d5bMe1XgMveWoLvOIcbw6wHXgKqO3jGFoB7wJ7gX+A5UA7YIKzj7QQ34vTnPWWAlWBQ8CmAO9dBlATeMY590dd74/bsTbCfpC/dM51hrM871wDzYEl2CvH/cBqoL2P/ZYCrsGWAv9x0n8OXAeU8Eib9z44/8/Hlg4OAuuBXl62P8zb58x1vD7y5PV9Bfpgf2iznPOZ6RzbNUG+J2m+9gsc5/a5q+Y2v6FzHvcA9T3WKQdsct6nc7zlHxvQvnLO0U7gaaBiCJ8j1/mb5WXZmc6ybC/LTgL+67wvfzjna5uz/7o+zre3Kc0j7UBgFfCnc0ybgPFAmRCOaaaz7ReDSFvG43Ut4ElgK/Z7/QewCGjl77OHvaDI4N/v9xLgZC/r1MDeDvoe2Oe8998756hRsOcLW7N0C7AS+5vsyuubwFkBfgOqOe+T63P+DTC8oO+Zj31txct3zCPNbCfN65H8bBXkXHmbClNd+hK2JHMl/1bjgP3BqQHcDpzobUURORMbLMo7Gf4WaAoMBi50qn/Wu6WvCnyM/SH/0JlqATOwwSIYr2PfwDHO6ynO37+CXN/zGIZjv5SHnGPYjr0IuBLo7Vwx/eKWvj32mJOwX74fsUEnA/smFsQo5+8sY8xuEXkLWy17tjHmAx/rVMEGrmwnH7nYH1l3jwFnY7/wb2N/rN21Bm4F1mAD7/HARcAKEWlujPneldCp6l4MdMf+KLyI/RHsDDyOvegY4iWf9YFPgS3AXCff6cAbInKuMWaVr5NSUCIyCnvB85uT511AdeAMYDgwLYy7y6uVMcb8LCJXYkudL4lIJ/Nvrc007HdjgjFmtZftPIw9t4ux34XOwEjsd69LGPIpzt/DXpb1x1ZrrsJ+P3OAU/n3O9DaGPOrk9b1GzEUewGS4badrXk7E3kWuAL7o7YI+/08C1sa6Soi55lja7TyZ1gkmX8/U/cGOkBjzCG3dRtif19qY7+XLwH1gEuAC0TkImPMW1420wu4EHgH+7t0CtATOFNETjHG7HK2n4ItTJyArSJejD3H9Z31X8F+5oM5XycD/we8j/2u/on9LvYBeohIb2PMu17yWsnJQ46zv7LAxcBzIpJrjJntpAvqPSuke7G3z3qJSAVjzD/O/HB/tgp6rvILNrJ6XKHscP5/BvvFr+u2/F1s9VgKXkqY2A/HJmf+YI9tpzvzv8Ot5IG9qjDAZI/0rbFf5IAlTI+rnq1e5jcgyBIm9uonBxv06nik74INMK95HPN3znYu9Ej/H0K4anNbryy2RPIXkOzM6+1sZ66f985gS/KlvCx3HeuvQEMvy9PctjHMY9loZ/40j/kTnPmPAyXd5pfE1hjkOydu74MB7vHYVndn/tse84f5yFNIJUxgA/YCqLqX9NW8bcfPOTpmv9hSkgG+8rHuNGf5ROf15c7rVRxbEnfl/xfgeLf5pbA/CgZoE2SeXedvlpdlrpLaYi/L6uCl1Ad0c74D032cmwkB8rHI9Zn28jn6TxDHczZuv1OhTMB7zrrjPOa3x/7W7QZSveT5CNDVY52JzrJb3ea5vqOTvew7CSgfwvmq6O1zia2GzsRLbRP/freeIf/38RTnGL4N5T0LcC63en7HfKTb7qTrHMHPVsjnyut2CnAS3ANmW+f13c7r+s7BTHNeewuYHZx5H/vY/gfO8k7O69LYaot/8FLNxL8/HBM85mcQuYA52Zl3gY9jeM358JX3OObVXtKWxAbeUAOm68f0Kbd5pbClowNAZR/vndeA4HGsXn+U3D6UH3pZVhp78bLebV4JbCktC+8BuhK2hLvQy/uwFbcvtNvybcAuj3nDPD9nbsebEeBY3d/XDc5n7ZhzF8L7kuaW/wnO9DC2tGKwF5O+qq7LYm815GKrq7OB3/FSxe+W/yu9LBvuLLsuyDy7zt9GtzxPAtbx7wXUSSGehy+BLT7OzQQf63zufIYq+fie7AI+DWLfA5z9fBJinus6620DSntZPtdZfrmXc/eCl/QNnWWvuM1zBcwHQ/gseT1fAdad6qx7vMd843zGK3hZZ7WzPOigHSAPWz2/Yz7SfeKkGxCpz1ZBzpW3qVAtWI0xa0XkK+AKEXkAW1wugb0q9aWl89dXNeRKoCPQAnul3BRbWv3A2MYdnjKwRfFoauf8PcepXvZUHfsFPwn7I+w65mOq1IwxR0XkQ2wVTShGOn+fd9vWERGZB9yIrZKa6mW9rcaY3wNs+9MAy9d7zjDGHBaRneRvQHES9t7qZmC8iHiuBja4n+xl/kZjjGdVMNir0XZe5ofDPGzjqW9EZAH2/frIGPNHAbZVH9ugxN2fQBdjzEZvKxhjDopIOvb8Po79El9sjMn0s59j3gvsOYLQG7M0cyZ3vwBnGy+N6MS+oYOxQaOZs7+SbklyPNfxxamqbIYNimN8fFYO4f2zcszmnL8m2P07Wjh/PzC2EaCnldiWnS2wtTTugn0fVmMvQG4XkZbYWx4f4fvz7peIdMDWUrXD/u54dtOog30P3W02/1Z9estvJex92Gg55v0K52fLbZsFOVf5hKPLx0zsD/P52CvbDcaYz/2kr+j89dUFwDW/kkd6z/tsLr8Fmc9wqur8vSVAulTnb1iPQUROxl5UfGeM+cRj8fPYgDkS7wEzmH0FSuPrvu8R8n+oXeepMccGD3epXub520dEBtwwxkwSkV3YBko3YO93GxFZDdxi3O6rB2G1MSYNQESqYO/xPgEsFpEzjTG+zvEP2Cvo9th7+4Hu0Xs7T657fCW9LPNntjFmmPNjVR3bbewBJ8/tjDH7PdJPwp6jLGxV5q/YCyCwP3T1Q9h3ZewP53H4/6wEw3WBUTfE9UL9bXJ3zPvgXMCC2/tgjPlHRM7C3rvrg73NALBLRKYBD/gI1scQkX7Ye5AHsfdDf8KWHnOxJa5zgDLB5NVR0M9NYdV2/rpfmIbzs1WYc5VPOALmXOAhbGOJOsB9AdK7Sok1fSyv5ZHO9beGj/S+thNJrjxV9HGl5it9uI7B1dinqXgZzchxmoi0N8Z87DE/mKvuUK/MfXEd92vGmP5h2mYoDL4/495+9DDGzAHmiEglbNDqh22E8p6InBxE6dzbNvcAM51O2k9g71X6Oh+3O/vdhW3kcAe2sULUGFtPtRN4UEQqAzdjA+eNrjROl4wbgK+xVcz5SiQiMjDE3bo+K58bY1r6TRnYemxptK6INDFujdCCzEOwv00FYozZAYxwLkxOwbZ7uBY7oEoJ4K4gN3U/tqTV2hizyX2BiDyFDQJxTUROxF7YHMHWxkXiswVhOleFvlI3xvyFjdx1sRH7pQCruEqfaT6Wu+Z/5vz9DtsNobnTd8dX+mhylerODjK961iOeVNEpCS2tBgUESmDrW7NBZ7DNpzxnN5zko/0to0o+g6nlaPTWjba/sS2cMzHOefN/a1ojPnLGPO2MWYk9n5hFYJ/v32ZgW2+38+pHvLMV3vsBef32C5D3wP3ikjQn48IuA975X+d04LUpRH292Oplx+0us5yT64qx2NKMMaYbOy5OdUpkReYsf0t5zovAwYf5zsF//42dRQRbxdarn6on3lZFjJjfWOMeRw4z5nt3m/d5/lynIhtpOMZAEoQwm9KAIHyUFh3O38Xu32OwvrZcoTlXIWrams89kq8u+cBevER9oego4hc7L7Aed0JWy31Idh7Y9h7S+WxjRHc07fG1nNH2xPYxgmTndFE8hE7HJf7j+vH2GPuJCIXeiS/jtDuX16Erep8zxgzwhhzpeeEbQK/Dxjg4yIjKoxt/v849sp8qtPcPx8RqSUip0QoC58Cx4tIN4/54/FSpSMi5/v4oazu/PWskgyJc4/KVd34oMe+K2MvNo8ClxpjdmJbjR/BdjWpSgw43+eHsI26Jrgt2ur87ehcgAAgIqnY2zTezqNrBKrjfexuEva+0nNOCT8fEans3PcLxnhs15TBIvI/H5+9aiIyFbgU8kp+y7ANz8Z4pG2LHfXoT2yjvgIRkdPE+7jUrton989YoPO1FWgsIq4qTde9v3uwJddwCJSHAhGRCs65H4K9qL7dbfFW5284P1tbCcO5CsuwdU6DAL83S93SGhEZiv1gLhCRN7AlkSbYq6u92FZouW6r3Ql0xTYGaM2//TDTsTfN+4TjOIJljPlORK7AlvC+EZF3sUG+NPYNOxt7Vd7USW9EZAT2mF8VEVc/zGbAudiuOOcHuXtXdewzfvK3V0Rextb1X4bthB0r92OP8yps/6mV2PsR1bH3NjsA47D368LtEew9ojecRjx7sNWdDbGNxdI80s8HDjqNsLZi76mdje28vwHbj7awFmFbo3YSke7GGFdtwHPYz84NrkZBxpgvROQm7AXa80T5c+5mGnYM5stE5CFjzLfGmN9EZD422GwUkaXYe4DnYe8TbeTYUvz32Pf+UhHJwf5mGGw3qG3GmOdEpBX2HvJPIvKek6YK9j3rhD0PVwXKsDFmp4h0xfbRuxkYKiLuQ+OdjH3/y5C/VHcV9qL+f86F1nr+7YeZi+3cX5gGMecCk0TkY+zv3u/Y2rkLne3/zy2t3/OFba0/A/hcRF7FXsR3wAaAxdgWuYUVKA/BGCMif2G/T66h8TphB+X4AbjMGPODK3EkPluE61wVoAmuIcj+Tfgf6acJttoky8l8FvAC0MTHtmpif1T+4N+RfoYR5Eg/bvO3UshuJW7LTneWb8PeM9mDrXd/Ctsa0jO9+0g/ewlxpB9sgHHdXzqm2btH2vZO2o0e712Gn3V8HqsJoum2n3Mr2CvJFc45ysF+uD/EXgzVC/Q++Htf8dGtxFnWB/ujdxB7FTofW7o85lixP5avYTuO73fy+jl2kIby3vLj5xz5O8+urgXrnNfXO6/f8JF+kbN8bJCfS7/vk5f0rvPn9Zx75PFVt3kp2PurPzrndzv24qyqt/fJWedM53PwNzZAHPO5xw4C8BY2mORgG6F9iv09aRrMMbltKwnbeOlt7G9MDva79xW2UdzpXtapA0zHfq9zsPeTXwfO9HPujvnsefvOYQP1JPKPYLMVe1vrmO5Ggc6Xs/+N2BqlXc7n93R8/Kb4+2z6+kwF8575+T0wbtNh7HfqK+xv/8VAko91w/7ZCvVceZvE2ZBSSiml/Ej452EqpZRS0aABUymllAqCBkyllFIqCBowlVJKqSBowFRKKaWCEJZ+mImsWrVqpkGDBrHORtD27dtHuXLlYp2NkGieo0PzHB2JmGcIf743bNiwyxhzXNg2mACKfcBs0KAB69eHMqZ2bGVkZJCWlhbrbIRE8xwdmufoSMQ8Q/jzLSLBDlxQZGiVrFJKKRUEDZhKKaVUEDRgKqWUUkHQgKmUUkoFodg3+lFKhe7w4cPs2LGDgwcPFmo7FStWZNOmTYETxpFEzDMULN9ly5albt26lC4di8fZxh8NmEqpkO3YsYPy5cvToEED7GMFC2bv3r2UL18+jDmLvETMM4Seb2MMu3fvZseOHTRs2DDwCsWAVskqpUJ28OBBqlatWqhgqeKbiFC1atVC1yIUJRowlVIFosGy6NP3OD8NmEoppVQQNGAqpVQEzJs3j27dusU6G0EREX788cdYZyPuacAMh6wsOOcc+O23WOdEKRUnBg8ezNKlS6O+34yMDOrWrRv1/RYHGjDD4f774cMP4b77Yp0TpVQcOHLkSKyzoCJAA2ZhJCeDCEyfDrm59q+Ina+U8i4KNTKZmZlcdNFFHHfccTRs2JCpU6cC0LNnT2666aa8dOnp6VxxxRUAzJo1iw4dOnD99ddTsWJFmjZtyooVK/LS/v3334wYMYLGjRtTp04dxo8fz9GjR/OtO3bsWKpUqcKECROYNWsWHTt2zFtfRJg2bRqNGzemfPny3HXXXfz000+0a9eOChUqMGDAAHJycvLSv/XWWzRv3pxKlSrRvn17vvzyy7xlDRo04JFHHuGMM86gYsWKpKenc/DgQfbt20ePHj3IzMwkNTWV1NRUMjMz+fTTT+natSuVKlWiVq1aXHfddfn2pYKjAbMwtmyBQYMgJcW+TkmBwYPh559jmy+l4lmEa2Ryc3Pp3bs3zZo149dff2XFihVMmTKF9957j+eee465c+eycuVK5s2bx7p163jsscfy1l27di2NGjVi165d3HvvvfTv3589e/YAMHToUEqVKsXGjRv5/PPPWbp0Kc8888wx6/7++++MGzfOa97effddNmzYwCeffMLDDz/MqFGjmDdvHtu3b+frr7/mpZdeAuCzzz7jiiuu4KmnnmL37t2MHj2aPn36cOjQobxtLVy4kHfffZeff/6ZL7/8klmzZlGuXDneeecdateuTXZ2NtnZ2dSuXZuSJUsyceJEdu3axZo1a1ixYgXTpk2LxOkv0jRgFkatWlChAhw8CGXL2r8VKkDNmrHOmVLxx0uNTPkKFcJeI7Nu3Tr++OMP7r77bpKSkmjUqBEjR45k/vz51KxZkxkzZjB06FD+85//MGfOnHyd+atXr86YMWMoXbo06enpNGnShCVLlrBz507eeecdpkyZQrly5ahevTpjx45l/vz5eevWrl2b66+/nlKlSpHs45huu+02KlSowKmnnsppp51Gt27daNSoERUrVqRHjx58/vnnAMycOZPRo0fTtm1bSpYsydChQylTpgyffPJJ3rZuuOEGateuTZUqVejduzcbN270eU5atWpFmzZtKFWqFA0aNGD06NGsXr26sKe62NGAWVg7d8JVV8Enn9i/2vBHKe+81MgcHjAg7DUy27ZtIzMzk0qVKuVNDz74IDt37gSgV69eHD16lCZNmuSrMgWoU6dOvr6H9evXJzMzk23btnH48GFq1apFvXr1qFSpEqNHj+b333/PS1uvXr2AeatRo0be/8nJyce8zs7OzjuGRx99NN8xbN++nczMzLz0Nd0uzFNSUvLW9eaHH37gkksuoWbNmlSoUIE777yTXbt2Bcyvyk+HxiusRYv+/f/JJ2OXD6XinZcaGVO+fNhrZOrVq0fDhg3ZvHmz1+Xjxo3j5JNP5ueff+all15i4MCBect+/fVXjDF5QfOXX36hT58+1KtXjzJlyrBr1y4OHDjgdYi5cHbyr1evHuPGjfNZteuPt3xcffXVnHrqqbz88suUL1+eKVOm8Morr4Qjq8WKljCVUtHjUSMjbiW0cGnTpg0VKlTgoYce4sCBAxw9epSvv/6adevW8f777/P8888zZ84c5syZw/XXX8+vv/6at+7vv//O1KlTOXz4MC+//DKbNm2iZ8+e1KpVi27dunHTTTfxzz//kJuby08//RSxas2RI0cyY8YM1q5dizGGffv2sWTJEvbu3Rtw3Ro1arB7927+/vvvvHmucWRTU1P57rvvmD59ekTyXdRpwFRKRc+iRbYmplkzePJJDs6bF/ZdlCxZksWLF7Nx40YaNmxItWrVuPLKK8nKyuLyyy/niSeeoE6dOnTs2JERI0YwfPhwjDEAtG3bls2bN1OtWjXGjRvHK6+8QtWqVQGYM2cOOTk5tGnThsqVK3PxxReTlZUV9vwDtG7dmpkzZ3LddddRuXJlTjzxRGbNmhXUuk2bNmXgwIE0atSISpUqkZmZySOPPJJXuhw5ciTp6ekRyXdRJ64PSnHVunVrs379+lhnI2gZGRmkpaXFOhsh0TxHRzTzvGnTJk4++eRCbyeenvwxa9YsnnnmGT788EO/6eIpz6EoaL59vdcissEY0zoceUsUWsJUSimlgqABM5p0CD2llEpYGjCjSYfQUypuDRs2LGB1rCreNGBGgw6hp5RSCU8DZjToEHpKKZXwNGBGgw6hp5RSCU8DZrToEHpKKZXQdGi8aNEh9JRSKqFpCVMppbz4/vvvadGiBeXLl2fq1KlcddVV3H///SFto0ePHsyePTtCOVTRpiVMpVSR0qBBA5555hnOPffcY5Y9+OCDzJw5kz/++INKlSrRoUMHFixY4HU7Dz/8MGlpaXmP3HLZu3cvGRkZXHbZZezYsSNv/oQJE/jxxx954YUX8ua98847YToqFQ+0hKmUKhZmz57N3LlzWb58OdnZ2axfv56uXbv6TL9t2zZOPfXUKOZQxTsNmEqpYmHdunV0796dE044AbDPkxw1apTXtF26dGHVqlVcd911pKam8sMPPzBs2DDGjx/Pvn376NGjB5mZmaSmppKamsqLL77Igw8+yIIFC0hNTaVZs2YApKWl8cwzzwB2rNqOHTty8803U7lyZRo2bJivBPrzzz/TqVMnypcvz7nnnsu1117LZZddFuGzokKhAVMpVSycddZZzJkzh//973+sX7+eo0eP+ky7cuVKzj77bJ544gmys7M56aST8paVK1eOd955h9q1a5OdnU12djaDBg3izjvvJD09nezsbL744guv2127di1NmjRh165d3HrrrYwYMSLvSSmDBg2iTZs27N69mwkTJjB37tzwngBVaHoPUylVKGPGwMaNBVv36NFkSpYMnK55c5gypWD7cLnssssQEZ5//nkmTJhA2bJlueWWW7j99tsLt+EQ1K9fn5EjRwIwdOhQrrnmGnbu3ElOTg7r1q1jxYoVJCUl0bFjR/r06RO1fKngaAlTKVVsDB48mOXLl/PXX38xY8YM7r77bt57772o7b+m22AlKc7IX9nZ2WRmZlKlSpW8eQD16tWLWr5UcLSEqZQqlMKU/PbuPRCTZ0uWLl2aSy65hIceeoivv/6a7t27h7S+iAQ1L1i1atViz5497N+/Py9obt++vcDbU5GhJcxC2LYt1jlQSnlz+PBhDh48mDcdOXKEWbNmsWTJEvbu3Utubi7vvPMO33zzDW3btg15+zVq1GD37t38/fff+eZt3bqV3NzckLdXv359WrduzYQJE8jJyWHNmjUsXrw45O2oyNKAWUDvvw+NG8Pzz8c6J0opTz179iQ5OTlvmjBhAhUqVODBBx/k+OOPp1KlStx6661Mnz6djh07hrz9pk2bMnDgQBo1akSlSpXIzMzkkksuAaBq1aq0bNky5G3OmzePNWvWULVqVcaPH096ejplypQJeTsqcrRKtoDatoUuXWDECDue+sCBsc6RUgpg69atPpf1798/6O1kZGTkez1r1izADlwA8Nxzzx2zjufzNN23MWzYMIYNG5ZvuauFLMAJJ5zABx98kPc6PT2dpk2bBp1fFXlawiygMmXs8LDnnANDhsBrr8U6Rx6ysmzmdJB3pRLCunXr+Omnn8jNzeXdd9/ljTfeoG/fvrHOlnIT1YApIneIyDoR+UdE/hCRxSJyWoB1GoiI8TKd75HuHBHZICIHRWSLiFwV2aOBlL+zeDPnfNq0yCE9HZYsifQeQ3D//fDhh3DffbHOiVIqCL/99htpaWmkpqZyww03MH36dFq0aBHrbCk30S5hpgHTgPZAF+AIsFxEqgSx7vlALbdppWuBiDQE3gY+BloAE4HHReSicGb+GPffT/lPlvH2GXdwxhlw0UWwbFlE90jS7t3+S47JySAC06dDbq79K2LnK6XiVu/evdm+fTv79+/nhx9+YPjw4bHOkvIQ1YBpjOlujHneGPO1MeYrYAhwHNAhiNV3G2N+c5ty3JZdBWQaY643xmwyxswEZgM3h/8oOCYoVXpuEu9tqMpJOV9x4YWwenVE9gpA/Tlz/Jcct2yBQYPA1Z8rJQUGD4aff45cppRSqhiI9T3M8k4e/gwi7SIR+V1EPhKRiz2WtQOWesx7D2gtIqXDkM/8vASlqoN7sPzLGjRoABdcAB9/HOZ9OkG6zptv+i851qoFFSrAwYO2NdLBg/a1W4dppcLBvcGKKpr0Pc4v1gHzMWAjsMZPmmxsSXEA0BNYASwQEfdRiWsCOz3W24ltBVwtbLl18RGUqp9WnRUroHZt6NED1q0L4z6dIH3U1czcX8lx50646ir45BP7Vxv+qDArWbIkhw9Z0EyCAAAgAElEQVQfjnU2VIQdPnyYUqW0M4WLxOoKQkQmAZcCHY0xW0Jcd5qz3hnO6x+AucaY+93SnANkALWMMb95rD8KGAVQo0aNVvPnzw85/6fefTc5VaqQ2asXtd96i6Q9e/jGqSb964f9jLn+DPaUrs6jk7+kcePskLfvTePJk6m9eDG5pUtT4vBhMnv3ZvPYsWHZdiRlZ2eTmpoa62yERPPsX1JSEtWqVaNGjRqUKFHw6+6jR49SMpjBZONIIuYZQs93bm4uO3fuZNeuXeTk5ByzvHPnzhuMMa3Dmcd4F5OAKSKTscGyszHmuwKsPxSYYYxJdl6/D3xljLnWLc0lwItAijHG56Vw69atzfr160PNgn/XXMPWGe9yTrl17CtTlVWr4PTTw7Dd/v35NTeXOvfeC08/bbuOLFoUhg1HVkZGBmlpabHORkg0z/7l5uayY8cO9u3bV6jtHDx4kLJly4YpV9GRiHmGguW7XLly1K1b1+tFkYgUu4AZ9bK2iDyGDZZpBQmWjuZAltvrNYBnh6XzgPX+gmXYlS0Lhw4B0ABYmd2Gc7JX0/WMJDJa3cwpbz1cuHuJixaxOSODOs2awZNPhiXLShVEiRIlOP744wu9nYyMjITrOpGIeYbEzXc8iXY/zCeB4cBA4E8RqelMqW5pJorICrfXQ0VkkIicLCJNRORm4FrgcbdNzwDqisgUJ92VwDDgkWgcV570dPvXqfY4IeU3VvaeQqnk0nTZ8DDfjX0qqtlRSikVPtFu9HMNtmXsCmwJ0TW5d/+oBZzgsd54YD2wDls6vcIYM9m10BjzM7ZBUCdsI6JxwA3GmFcjcxgeXN1M5syxr10Ppt2/n5MWP8rKA+0A6DJ/JJulcXB9InWkHqWUiivR7ocpPqYJbmmGGWMauL2ebYw5xRhTzhhTwRjT2hjzgpdtrzbGtDTGlDHGNDTGzIjOUXFsN5NSpaBnTxgwAOrWpWnKdlbQlSOUpnPyWn5c+UvgbepIPUopFVdi3a2kaPDsZpKbC/Xrw4IF0KsXHDzIqWW3sFzO46BJovOA49jiq12wr5F6ErCRgVJKFSUaMMPFV99Ht/lnXN2B5e3uZv9+6NwZtn76+7HVrt5KqwCXXhrd41FKKZWP9kgNF/fuHe4tWD3mNweWfQZdu0Lnc0uQkf0L9e+7D6ZNs2lcpdX9++3rI0fs39mzYfZszk5KymuJq5RSKnq0hBkDLduXZflfrfhrb0k6mxX8Mv2t/MPc7dwJQ4fa4YJcHY2dkX3WvvRS7DKulFLFmAbMWEhPpxWfsazE+eyhCmmyml/63vDvMHeLFsGsWfY+qDH5ht/LqRLMg12UUkqFmwbMaPLoftI691OWcR57TGU6rxzP9sMegxromLBKKRU3NGBGk5cGPWf2rM7SC6aya38KaWmwfbtb+kWL7P1Q18g+CTAMnlJKFVUaMKPJR/eTNjNHsuy0G9n1R+6xQVMppVRc0IAZbd6qWe+/nzZfPsPS8x5h1y40aCqlVBzSbiXR5l6t+txztrTpaLvoNpbyKt3+WUpaWkVWrYIwjG+tlFIqDLSEGUue9zRTUmg7uDHL3j7C7t22pLltW0xzqJRSyqEBM5Y872k6XUfa9KjKsmWwZ48Nmlu3+lhfB2hXSqmo0YAZaz66jpx5JixfDn/9ZWOiq4tmPjpAu1JKRY0GzFhz7zoyfjzs3p0XNFu3hhUrYO9eGzR/+slZx9cA7cE8NqywtFSrlCqmNGDGEy8lxpYtYeVKO7RsWhrs2JHs9d4ngwf7KIZGPo9KKVUcaMCMBwFKjM2b26B58CCMHduc7//xfu+TmjUD7ChyeVRKqaJOA2Y8CKLEeMYZsGoVHD0qpKXBt5tLR3fYvFiWapVSKg5owIwHPlrLepYYTzsNJk/eCEDnr6by9dVRHDYvyDwqpVRRpQEzXgQ50Hr9+vvJyLDPlU5Lgy++cFvor0FOOBrrFHAw+KTdu7WhkFIq4elIP/HC1wOovWjSBFavhi5doHNnWLYMWrUif4Mc1wOpXfwti0Ae3dWfM6fw+1ZKqRjTEmaCOvFEGzQrVoSurf/iEznLe4OcWDbWcfZd5803taGQUirhacBMYA0b2qBZrUEq55VaxYdlutoF7g1yYtlYx9n30TJlor9vpZQKMw2YCe7442H1h6Wok/o33Q+9wcrS3fM3yPHXWCfSgxA4+y6Rk6MNhZRSCU8DZhFQpw6sbncHjar8xQUl3ubdnlPzB0FfjXWiMQjBzp1k9ukTve4vSikVIdroJ5KysuDSS2HBgoiXqmq8/TyrdsF558GFS69l4cJrudC10LOxjuu+psv06XYqWxYOHAhvxhYtYnNGBnVc3V+UUipBaQkzkqI8jFy1anZEoObN4eKLYeFCvFe7BntfU8eNVUqpPBowIyHaLVPdAlvlyrabyVlnwcCBMOeypccG7WAHIdBxY5VSKo8GzEiIdstUj8BWoQK8u64qabkrGLZyCE/njjg2aPsbhEDHjVVKqWPoPcxIiNYwcsnJdtsubvciy/28hbfG3MHFrxxmdO7THChdkf8MyIJHHrFp/Q1CsGUL3HwzvP66fUxKSgr06/fvukopVQxpCTNSCjiMXEj8lWRr1SK5SjKvmb5cVOI1xhz+Hw9uviS4oK3jxiql1DG0hBkpBRxGLiSBAtvOnSRdPYL5VzRi+KBPGffphWTfCf/3f/kbyXrlCvijRsHTT9v7pEopVYxpwEx0/gKbE7RLAbM3QcrVMHEi7NsHU6YECJrRCPhKKZVANGAmuiADW4kSMGOGrbWdMsUGzaeegpIlo5BHpZQqAjRgFiMiMGkSlC9vG9bu2wdz5kDp0rHOmVJKxT8NmMWMiO19kpoKt91mG8EuWGBvgSqllPJNW8kWU7feah9N+eab0KsXZP/4W+ij+uhIQEqpYkQDZqJwglPSnj1h2+TVV9sq2VWroFvH/fz5wdehjeqjIwEppYoRDZiJwglO9WfPDutmh4xK5uXc/qzfWZfOZgU7p78aeFQfHQlIKVUMacCMdx7Bqc6bb4Y3OG3ZQv9BybxV5mI205hO8gHb+17vfxi/WD6UWimlYkQDZrzzCE5Hy5QJb3ByBj/odngJS5N685upQcfl97B5r59RfXQkIKVUMaQBM955BKcSOTnhD07O4AcdPp1MxiXTOJBTio4d4YsvAq+jD4ZWShUX2q0kEbiN5pN5zz3UCXdwchv8oMXCZnzwPZx7LqSlwZIl0L69/3V0JCClVHGgATMRuAWnzWPGUCctLaK7a9LENn497zw7vfYadOsW0V0qpVTc0ypZ5VX9+vDBB9C4se2n+corsc6RUkrFlgZM5VONGpCRAWeeCenp8Oyzsc6RUkrFTlQDpojcISLrROQfEflDRBaLyGkhrN9YRPaKSLbH/DQRMV6mpuE/iuKlUiVYutRWzV55pT5DWilVfEW7hJkGTAPaA12AI8ByEakSaEURSQLmA+/7SXYqUMtt2lzI/CqgXDk7hF56OtxyC9x5JxgT61wppVR0RbXRjzGmu/trERkC/A10ABYHWP0h4EtgNXCOjzS/G2N2FTaf6lhJSTBvni1xTpwIu3fbsWj18WBKqeIi1vcwyzt5+NNfIhG5AOgF3BBge+tFJEtEVohI5zDlUTlKlrQDDt15p31W9aWXwqFDEdiRDuqulIpDYmJYtyYiC4HGQGtjzFEfaWoBG4D+xphPRGQY8IQxJtUtTROgM7AOSAKGAFcBacaYY6pwRWQUMAqgRo0arebPnx/W44qk7OxsUlNTAyeMsIUL6zJ9+om0bPkn99//NSkpXt8+IPQ8N548mdqLF5PZuzebx44NR3ZDFi/nORSa5+hIxDxD+PPduXPnDcaY1mHbYCIwxsRkAiYBmUCjAOlWAHe5vR4GZAex/beBNwOla9WqlUkkq1atinUW8syaZUzJksac2fyQ+aNdb2OysrymCzrPZcsaY2+P5p/Klg1fpoMUT+c5WJrn6EjEPBsT/nwD602M4kespphUyYrIZGAg0MUYsyVA8i7APSJyRESOAM8C5ZzXo/ystxZbelURMnSoHVPhq6/g7DUP8cstjxdug4EGddeqWqVUDEU9YIrIY8AgbLD8LohVTgeau013Awec/1/2s15zIKtwuVV+JSfT50LhvaPnkkltOrxwFZvk5II/SSXQoO76/E2lVAxFux/mk8BwbOnyTxGp6Uzu9yMnisgK12tjzNfuE/ArkOu8/tNZZ4yI9HX6aZ4qIhOBvsAT0Ty+YscpEXZK2cD7dOIwSXRM+pS1r+4o+Da9Dequz99USsWBaJcwr8G2jF2BLf25ppvd0tQCTghxu0nAI9huJx8AHYELjDGL/K6lCsetRNis7A98LB2olHSALr1TeO+lPQXb5qJFdjD3Zs3s30WL9PmbSqm4ENWAaYwRH9MEtzTDjDEN/GxjlnFrIevMe9gYc6IxJtkYU8UYc7Yx5u3IHYnK41YibHR1dz6q3IvGud/T67KKvPhimPahz99USsUBfVqJKhzXk1SSk+HgQWoCqzmHC3PfYPDgNP4YejPNlvUq+PazsmyHz3Ll8h5xxtNP2/lKKRVFsR64QMVCJFqbulWbVuQf3k3uT/96nzLmyCPMnNmw4EPpuRr6NGhwbFWtUkpFkQbM4igSrU09qk3LHvqbhT1nM2oUvPhifa68Eo4cCWF72tBHKRVnNGAWJ5EOQh4tXEv+nsWMGTB06Faeew769YP9PwVZutWGPkqpOKMBsziJdBDy0sJVBIYN28q0abBkCZzb4QC7P/g2cOlWG/oopeKMBsziJIZB6Oobk3nZXMSGnXXoaN7nl+lvBS7deuuTqZRSMaIBs7iJVRDasoWLBpVlaZk+ZFKbdvIJX/W8zX/p1lufTG90yDylVBRowCxuAgWhSAUfp3R7zuHlfJjUFYzh7OV3s/r7MJRuIzVkngZipZQbDZgqv0iO1+qUbk//9FnWDJlOraQ9dOsGr7xSwO1FuhGTjl2rlHKjAVNZ0ejG4Va6PX7OA3y0rS6tW8OAAfBEQUb9jVQjpuRk0jp31i4tSql8NGAqKwbdOKpUgeXLoU8fuP56uOMOQhvgIFKNmLZsYWfXrtqlRSmVjwZMZcWoBW1ysq2SHT0a/vtf+4zNnJwQNhCJRky1anGkXDnt0qKUykfHklX/cgWfKI/XWqqUrfWsWxfuusvGvFdfhfLlg1jZvdHSk0+GLU9Jf/6pY9cqpfLRgKn+FaHgEwwRGD8e6tSBkSOhUyd4+21b8I2Fb+67j7S0NPsiyudCKRWftEpWRY7TLSNpT/DPxhw+HN56CzZvhnbtYNOmCOZPKaVCoAFTRY7TLaP+7NkhrXb++bB6tb112KGD7dlxDO0jqZSKMg2YKvw8uqjUefPNkLtltGoFa9ZA9epw7rle+mpqH0mlVJRpwFTh59FF5WiZMgXqltGwIXz0kQ2eAwbAlCnoY7+UUjGjAVOFn0cXlRI5OQXullG1qu2r2b8/jB0LY4f8Qe7AwdpHUikVdRowVWAFuV/o1j8ys0+fQt1rTE6GBQtgzBiYMjOVAWtv5MABtI+kUiqqtFuJCsz9fuG0acGt49ZFZfOYMdRxddEooJIlYfJkqF8fbhzbnKyaX/LGSweo9vJ07SOplIoKLWEq3+LwfuGYMbDw5RJs+PME2o86jZ9u9PPYr3inLX2VSigaMJVvMRhfNhgXXwwrV8KePXDWWXZUvISkLX2VSigaMJVvMRpfNhjt28PHH0PFitC5c4IVMuOw5K6UCkwDpvIvEoObh8lJJ9m+ms2b21Ln5MkhPu0kVuK05K6U8k8b/Sj/ojW+bFYWXHqpbQ4bQgn2uONs9eyQIXDjjTYWTZliGwnFrTguuSulfNMSpooPhbifl5wMCxfCzTfbB1H36wf79kUgj+EUxyV3pZR3WsJUsZWcbEtYLtOn26lsWWxny+CUKAH/+58dHej6623j08WLY/e0k4Bi+GQYpVTBaAlTxVaY7+ddcw28+SZ8951tQfv112HMq1KqWNOAqWIr3PfzsrK44OFzeH/RLg4ftk87Wbo0vFlWShVPPqtkRWROAbd5lzFmWwHXVcWJq6FPuXL2Pt6oUfD004Ubuce5F9ry9btZu3YavXpBz562lnfkyPBlXSlV/Pi7h3kZ8BtwKITtHQ9MATRgqsBcDX1Gj/73Pl5B7+d5uRdab/p0PihzHOnn/c6oUfDjjzBxor3fqZRSoQr009HXGNMwmAloDEgU8qwSXSQ67vu4F1ph65csXgxXXw0PPwzp6SG1JVJKqTz+AuYK4O8QtnXUWeefQuVIFX2R6Ljv515oqVK24Proo/Dqq5CWZnt1KKVUKHwGTGPMecaY74PdkLHOM8b8GJ6sqSIrUh33/fRtFLEDGyxaZFvOtm2rLWiVUqHRfpgqNlzBLRwNfVyC6NvYty+8/z707m3Ho335ZejevfC7VkoVfRowVWzEsON+q1bw6afQqxdccAE8/ri9x6mUUv5oe0FVLNWtaxvo9uhhBzsYMwaOHo11rpRS8UwDpiq2UlPh9elZjK2zkMcegwsvhL17Y50rpVS80oCpirWSD97PpKyBTO/0Eu++a0cG2qa9iJVSXmjAVMWTR1/Qq94fxDtHz+OXr/6ibVv49tvysc5h/MrKsqPb6xNWVDHjM2CKyPEiUjqUjTnraEMiFf+89AU9b3ANPs44TEoKjBnTgvnzY5vFuFWIR7Eplcj8lTB/BloEuyERKemsc0ZhM6VUxPnoC3rKOcexdi00bfoPAwfChAlgTKwzGyciMUKTUgnEX8AUoIWIdApmAjqhQ+OpROJjoIPjjoNHHvmCoUPh3nth4ECP4fSKa5VkJEZoUiqBBKo+nRbCtgTQa3GVOPz0BU1KMjz/PJxyCtx+u40Jr7/uPJDavUpyWihfkQQXqRGalEoQ/gJm5wJu0+dweiJyB9AfaIJ9CsonwB3GmKAGKRORxsBngBhjUj2WnQNMAk4FMoGHjTEzCnQESmFrG2+9FU46yRak2tTewZv0pgUbbYLp0+1UtmzxGdE9EiM0KZUgfAZMY8zqCOwvDVtqXYctkd4HLBeRU4wxe/ytKCJJwHzgfeAcj2UNgbeB57CPJesITBORP4wxr4b7IFTx0rcvfPQR9O5Zi46/r+GFksPol7PAVkn26wePPBLrLEZPDEdoUirWotqtxBjT3RjzvDHma2PMV8AQ4DigQxCrPwR8CbzsZdlVQKYx5npjzCZjzExgNnBzuPKuirfmzWHdZyU5rWoW/XPm82CpuzAHtEpSqeIk1v0wyzt5+NNfIhG5AOgF3OAjSTtgqce894DWoXaNUcqXmjUh46w7GNR4HeOO3MdlJ37CgV/9VoxERnFtdKRUjImJYZt5EVmIffB0a2OM15E8RaQWsAHob4z5RESGAU+438MUkR+AF4wx97nN6wSsBmobY7I8tjkKGAVQo0aNVvMTqMNddnY2qampgRPGkaKWZ2Ng3rzjefbZRjRt+g8PPPA1VavmRC1vjSdPpvbixWT27s3msWPz5he18xyvEjHPEP58d+7ceYMxpnXYNpgIjDExmbANdDKBRgHSrQDucns9DMj2SPODexpn3jnYVrs1/W2/VatWJpGsWrUq1lkIWVzkOTPTmE6djMnKCip5MHletMiYcuWMqVvXmA0bCrafoLi2WaaMMTZe55/Klg06z/FG8xw94c43sN7EKH7EagpLlWyoo/uIyGRgINDFGLMlQPIuwD0ickREjgDPAuWc16OcNL8BnjeSqgNHgN2h5E0VUe5dQcJUpdmvn20MVKIEdOxon60ZkVFwXNtMT9d+kErFUFABU0Ru9bOsFLAw2B2KyGPAIGyw/C6IVU4HmrtNdwMHnP9dDYDWAOd6rHce9grocLB5U0WQt9Fpate2T5EOQ1Br1gzWrYMWB9cwYADcM70GubkmPKPgeOZ9zhx48UXYv1/7QSoVA8GWMB8QkSGeM0WkBLarR1B9NkXkSWA4tnT5p4jUdCb3+5ETRWSF67WxLWrzJuBXINd57WosNAOoKyJTRORkEbkSW3VbjNr7K688R6dxF6ah3apXh5VbGjC8UQb3cQ8DWMi+5GqFL/15G1mnbl0YNuyY0YmUUpEXbMAcDcwUkfNdM5xguQBbkusR5HauwbaMXQFkuU3u3T9qAScEuT0AjDE/Az2xw/NtBMYBNxjtg6ncR6cpU8bOK1nS/vWs0ixEVW2ZBrV49rwFTJIbeY1+dDiwjG3SoHClP28j6/TuDc8/b4u2Tz6Zv1+kUiqiggqYxpjngXuBl0WkjYgI8BLQHehhjPkkyO2Ij2mCW5phxpgGfrYxy3iM8uPMX22MaWmMKWOMaWh0lB/l4hqdZu1aOPVUOHrUe5VmIe8/yu87GXv1Id6eto2tSSdx5sJb+PDDMOVdS5RKxVzQjXWMMRNFpDawBPgY2xinhzHm40hlTqmwcC+FnXSSLUW6D+2WnGyDp8v06aQVZMg7Zz/dgbVdoE8f6NLFDjd75ZVhyLuOrKNUTIX67MobsK1PewIXGGMKe/2sVHR5C0BZWXDzzXZ09f37ISWFne3bU2Pu3ALvpkkTWyi89FIYORK++AImTYLSOoyGUgnLZ8AUke14f/pIKWxV7gu2ZhYAY4ypH/7sKRUFXu4VHklJKXTr08qVYckS+7STRx+Fb76xXU+qVg1TvpVSUeWvhLkCfVyXKi48nsKR9NVXwa+blWWLkgsWHBNkS5WyY7OfcYbd9JlnwhtvwOmnhzn/keTn+JQqTvw9rWRYFPOhVGx5VNV+k5FBWrDrBvF8zMsvt9W0/fpBu3Ywd679PyEU1+d/KuUh1oOvK5W4vA2K4KdfZ9u2sH69bajbvz/ce69dLW6FeHxKFXUaMJUqKG8DCwQYrKB2bVi9GoYOhQkT4KKLYO/e6GQ3ZAU4PqWKMg2YShWUt4EFghiqrmxZO/bA5MmweLGtov3xxyjlORQFPD6liioNmEoVRgEHFhCBMWPgvfdsm5ozz4Slnk90jQc6cIJSeULth6mUclfIgQW6drWDt/ftCz16wEMPwU032YAaF3TgBKXyaAlTqRhr1AjWrLH3M2+5xd4m3L8/1rlSSnkKuoTpDLbeBjgeKOu53BgzJ4z5UqpYKVfOdnNs0QLGjYNNm+C116BBg1jnTCnlElTAFJFTgNexTxHxVllkAA2YShWCCNxxh30QyaCBubRu/A8LXsyl6yVVYp01pRTBV8lOwwbXAUBToKHH1CgiuVOqGOrZE9ZdcC/Vj2TSLb0SkyeD0TG3lIq5YANmS+BmY8yrxpgfjDHbPKdIZlKpAinE8y1jxhksoPFL97GWtlxoXufGG2FIqZeCv6+ZiMetVAIINmDuAnIimRGlwq6Qz7eMCbfBAsqTzSvJl/NAs4W8aC6lQwfYujWIbSTicSuVAIINmJOBa0WkZCQzo1RYJPKQbh6DBZQ4dIBx7TNYvFj4+Wdo3RpWrPC+6tnduyfucSuVAIINmMcBTYBvReQJEbnPY7o3gnlUKjSJPqSbl8ECLrjA9tesUQO6dbNPQPG8r7n2xRcT+7iVinPBdisZ7/Z/Yy/LDXBP4bOjVBgk+pBuPgYLaNwY1q6F4cNtf8316+GZZyA11S7PqVo1uOPWx3UpVSBBlTCNMSUCTFpVq+JLER3SLTUVFi6E//7XPoz6mHFogzluvcepVIHo0HiqaCrCQ7qJwG23QcuWtqDYujXMm2cHP/B73MnJttTpMn26ncqWhQMHopJ3pRKZDo2nVKREuHvHeefBhg12aL1evWDWrAb+n6+Z6Pd2lYoxnwFTRHJF5GiQ05FoZlqphBCFqs8GDeCjj+Dyy2H27Ab06QN//ukjsa97u8Zov02lguCvSvY+bGMepVQoolz1mZwMs2ZBpUo/MG3aSZx5pq2ZPeMML4ld9zhHjYKnn7alYPfAPm1a2POnVFHhM2AaYyZEMR9KFR1btsDNN8Prr9vHjqSkQL9+ti9IhIhAv36ZpKefxMUXw1ln2Ra0gwZ5JHS/x/ncc3pPU6kQ6D1MpYIRyv3IGHZrad8ePvvMNgQaPBj+8x84fNhHYr2nqVRINGAqFYxQ70fGsFtLzZp2NKCxY2HqVOjc2cb7YyR6f1Wloky7lSjlT0HvR8a4W0vp0jBpErRtCyNG2OdsLlwInTp5JPR2T1Mp5ZWWMJXyJ8GrLdPT7ehAFStCly42iOYbUm/RIhvQmzWzf90DvVIqHw2YSvlTBKotTz3VjkPbpw/cdJMNonv3xjpXSiUeDZhKBRKN+5GRHOQgK4sKvc/h1Sd/4+GH4dVXoU0b2LQp/LtSqijTgKlUINGotizMIAdOsE3as8fvtuX++7jlFli+HPbsgTPPtOOvh50+wFoVURowlYqlcDy70wmI9WfPDmrbnXsm89lnNv5feimMGQM54Xw8vA7uroooDZhKxVJhGhV5BMQ6b76ZP9j62XadOpCRYftpPvaY7XqyY0chjyWRH9ytVBA0YCoVS4VpVOQREI+WKZM/2AbYdunSMGUKzJ8PX3xhn36yYkUhjiXBWxQrFYgGTKViraCNijwCYomcnGODbRDbTk+3rWirVYNu3eD//g//Tz0JMj+J2KJYKX904AKlYq0wgxy4DTyQec891PEMiEFu++ST4dNPYeRIGD8ePv4Y5s6FKlVCy44OhKCKMg2YSiUyt4C4ecwY6qSlFXhTqanw4ovQsaMdVq9lS3jlFTsubUHyU9Qe3K2UVskqFS0J0N1CBK691jZyNQY6dLBtd4w+6E8pDZhKRU0Cdbdo08Y+9aRrV7jmGrjsMsjOjnWulIotDZhKRVqCdreoWhXeegseeMC2pG3TBr79Nta5Uip2NGAqFWkJ3N2iRAkYNw6WLYPdu+3oQC+8EOtcKRUbGjCVirQi0N2iSxf4/HNo1QqGDIHRo/M/9Uyp4kADplLREMMHSodL7dqwciXcdpvtMS86sN8AACAASURBVNKuHfz4Y6xzpVT0aLcSpaKhiHS3KFUK/vtf2/Xk8sttifO55+Cii2KdM6UiL6olTBG5Q0TWicg/IvKHiCwWkdMCrHOKiKwSkZ0iclBEtojIgyKS5JYmTUSMl6lp5I9KqeKnVy9bRdu0KVx8sR2TNqQB3AM9YSXAeolYQleJL9pVsmnANKA90AU4AiwXEX/jieQAs4FuQBNgDDACeMBL2lOBWm7T5nBlXCmVX/368MEH9mknU6faUufWrUGu7OsJK0Gulwhdc1TRE9UqWWNMd/fXIjIE+BvoACz2sc6PgPudkm0ikgac7SX578aYXeHJrVIqkKQkmDzZBssrroAWLWDWLLjwQh8rJCfnay2U94SVsmXhwAHfO/JYj+nT7RRoPaXCKNaNfso7efgz2BVE5ETgfGC1l8XrRSRLRFaISOcw5VEpFcBFF9mBDk44Afr2hZtu8lFFG+gJK74kcNccVXTEutHPY8BGYE2ghCLyMdASKAPMBO50W5wFXA2sA5KAIcAKEUkzxrzvZVujgFEANWrUICMjo3BHEUXZ2dkJlV/QPEdLPOT5wQeFGTNOYNKkurzzzj/cffc31Kx5KF+axtnZ1D5wgNykJErk5PDr3r1s/u47+O47v9vOt96BA2QGuV64xcN5LohEzXdcMcbEZAImAZlAoyDT1wNOAQYCO4A7AqR/G3gz0HZbtWplEsmqVatinYWQaZ6jI2Z5zsw0plMnY7Ky8ma9/LIxFSoYU7myMW+84ZG+Xz9jrrnGmI0bzY4LL7Svg+G2nrnmmuDXC7NE/GwYE/58A+tNjOJHrKaYlDBFZDJwKdDZGLMlmHWMMdudf78VkZLAMyLyP2PMER+rrHX2oZSKJPeGONOmAbblbIsWMGCAvZ95440wcaK95xn0E1aysuDSS2HBAjvIQxHpmqMSV9TvYYrIY8AgoIsxpqB1KSWw1ckl/aRpjq2qVUpFQoAxck84wT5X87rrYNIk6NQphFa0oC1iVdyJdj/MJ4Hh2GrVP0WkpjOluqWZKCIr3F4PEZFLRKSpiDQSkQHAROAVY8whJ80YEekrIo1F5FQRmQj0BZ6I5vEpVawE0RCnTBl4/HF4+WXYtMmWOl9/PcB2E3SwelX0RbuEeQ22ZewKbOnPNd3slqYWcILb6yPAHdgGPV8C9wCuwOuSBDziLP8A6AhcYIxxq8NRSoVVCGPkXnyxHejgxBOhXz870MGhQ162CdoiVsWtaPfDlCDSDPN4/RLwUoB1HgYeLlTmlFKhc42RO2qUHWA2y/ddkEaNbA3r7bfDlCn2/xtvLHtswiIwWL0qmmLdD1MpFW9CGX5u0SLbAKdZM/t3kf9KnTJl7EAHr79uC4yjRrVm/nwvCeNpsHodjk85NGAqpfKLQmObCy+EjRuhYcN9DBxoC6j797slCDEQR5Q2PlIODZhKKSvKjW2OPx6mTNnI7bfDzJnQpuVhvm19efyU5Hycj7O7dw+8bkFoSTbuacBUSlkxaGxTqpRh4kR49134fdtBWm+YwXMDl2HHHokxH+dj7Ut+m1QUnJZk454GTKWUFavGNsnJdD9f+OLgSbRjDSMyhnBZiXn8U7Z6ZPcbiI/zkVPF38OVCkC70SQMDZhKqX/ForGNU5KrlfIPS+nGA6UnMF8G0rJWJhs2RH73fkXjfGg3moQR68HXlVLxJBbDz7mV5EqWTWJczv2cc2F5Bq6/iXbt4KGH7DM3JWCntAjwdj7CPYC5dqNJGFrCVEpFXqAGLR4luY7yEV98AT172nFoe/eGP/6IbpajKp660SiftISplIo8LwO05+OlJFcFeO01m/zGG20Pk3nzoHNRfNKtDiyfELSEqZSKnEI2aBGBa6+FtWttLWXXrnDXXXDE9Ywi7YqhokgDplIqcsLUoKV5c9iwAYYPhwcesDFy2za0K4aKKg2YSqnICWODlnLl4Nln4cUX4euP/6ZZg794Zfrv2hVDRY0GTKVUZIW5QcvAgfD5mkM0rbqLS3iFUTzFvuRq/5ZctZpWRYg2+lFKRVYEGrQ0Oqs6H/S/l7tn1uMhbuWDA2czP2cRzWrWhGuu8d/ASKkC0hKmUiohld6VxcRrtrPsqZ/5O6UWbV6+malyA0ZHzFERogFTKZWYnCeadB11Al9srUS3cw3/YSq9S7zNH1QrWAMjrc5VfmjAVEolvOOOgzeXlmVqhwUsz+3MGXzJ0gNnh97ASFvdKj80YCqligQRuL76Aj4d8ChVGlWmu3mXW5Z1IycniJV1AHQVBA2YSqmiY9EizlgwjnVfleXqq+GRH/vSrh18/32A9XQAdBUEDZhKqSInJcU2kH3tNdi6FVq2hGeewfdzNnUAdBUEDZhKqSKrb1/48ks46ywYORIuuQT27PGRWAdAVwFoP0ylVJFWpw4sWwaPPgp33mnHpZ07F9LSPBLqAOgqAC1hKqWKvBIl4JZbbOExJQW6dIHbbye4BkGxpN1c4ooGTKVUsdGqFXz2GYwYYR9M3b49/PBDrHPlh3ZziSsaMJVSxUq5cjBzJrz6qm0c26JFgAZBsaDdXOKSBkylVLHUv3/+BkEXXQS7d8c6Vw7t5hKXNGAqpYqtunVtg6BHHoG33oLTT7evY067ucQlDZhKqWKtRAm46SbberZSJejWDW680caomNJuLnFHu5UopRT2Xub69bY17eTJsHy5fVj1aafFKEPazSXuaAlTKaUcKSk2Ni1ZYgt4rVvDY4/ZdjdKacBUSikPPXvCV1/Z6tkxY6BHD8jMjHWuVKxpwFRKKS+qV4c33oAZM2xXyNNPt11RVPGlAVMpVTwFMYqOCIz+//buPDyq6nzg+PclECDsGDYBEQirbLKogQpIQKQRCiKKIA1aQEBbkKIsxYKyiVoRbQRFKkpBcQWkItCyKztEkMWSX6ioIIiAEJA17++PO4mTySSZJDOZLO/nee4T595zz3lnZHJy7z3nvI/A7t1Qty7cey/MmNGAs2dzMU6TZ1iHaYwpnLKwik79+vD55/DUU7BqVVWaN3dONYWLdZjGmMIlm6voFCvm9K2zZu1GxLk4HT8+H6xHa/zGOkxjTOGSw1V0mjQ5y5dfwsCBMH06REbCgQOBC9crW5Q9KKzDNMYULn5YRadMGZg3z0lQfeSIk6D65ZdzcfqJLcoeFNZhGmMKHz+totOzpzP9JCoKRoyAu67bzve7T/g5WDe2KHtQWYdpjCl8PvrIWaGgeXPnp/uqOllUtSp88gm81mEhn59pTJPbSrN4sR9jdWeLsgeVdZjGGJMTJUsiRYQh6x/kS5rT8PKX9O0L/UIWc/q0n9uyRdmDyjpMY4zJCbervgj+j40luzK52fu8X+Q+mjZ11qT1K1uUPWiswzTGmJzwuOoreuk8E9qtZfNmoUwZ6NIF/vQnuHDBT+358XayyRrrMI0xJqe8XPW1bg27djlr0b7yijOSdvv2YAdqcsLSexljTE6lk4qrZEknVVj37s68zchImDAB/vIXZyEEk7/YFaYxxgRYp06wZ4/zqPPpp4O02IHJsVztMEVknIhsF5GzIvKjiHwiIhmmZxWRxiKyVkSOi8hFEUkQkWkiEupRroOI7HQrMzSw78YYY3xXvjy8/baT8eSbb5yE1TNnWq7N/CS3rzA7Aq8CbYFOwFXg3yJSMYNzLgNvAXcCDYCRwB+AKckFRKQ28CnwBXAzMB14RUR6+/8tZGzMmDF06dIlt5s1PurYsSMigoiwZcuWgLY1cODAlLY++OCDgLZl8o977vk11+aoUc6iB//7X7CjMr7I1Q5TVbuq6puq+pWq7gUGAJWAdhmcE6+q81X1S1X9RlWXAQuB292KDQWOquofVfWAqs7F6WRHB/DteBUXF0eLFi1yu1k2bNhAjx49qF69OiLC/PnzfTovNjaWZs2aUbZsWcqWLUtkZCT/+te/UpU5d+4cI0eOpFatWpQsWZK2bduyPRdGL7z66qvUrl2bEiVK0KpVKzZu3JitMp4eeughjh07RqtWrVL2eX5+n332WbrnDx06lMcffzzTdmbNmsWxY8cyLWdyQR5be7VqVSfX5rx5sHMnNGvm/LdqsCMzGQn2M8wyrhh8nt4rIhHAXcB6t92RwCqPoiuB1iKSq4/Wv/zyS26++ebcbBKAxMREmjRpwqxZsyiZhWWyatSowYwZM9i1axc7duygU6dO9OzZkz179qSUGTRoECtXruStt95i79693HnnnXTu3Jnvv/8+2/EOHDiQSZMmpXt88eLFjBgxgvHjx7N7927atm1Lt27dOHLkSJbKeBMWFkbVqlUp5jbqwtfPT1X55JNP+N3vfpfpeyxXrhxVbUJ53pAH114VgYcfdp5ttmoFgwZBjx5O327ypmCPkp0FxAGbMysoIl8ALYHiwFxgvNvhqoDn9ODjOO8vHEj1T1BEhgBDAKpUqcK6deuyF72HU6dOcfz4cS5fvsy6dev45ZdfeP755/nuu+945pln/PLLMzEx0Wu8YWFh3HnnnYDzS/3gwYM+va9y5coB8N133wHQpUsXXnnlFebPn0+PHj24dOkSH3zwAU8//XRKuY4dO7Jo0SLGjh3LH/7wh5Q23333XZYvX87JkyepXr06DzzwAF26dPEa8w+uv/TTi3HSpEl07dqVevXqcfz4cXr37s3HH3/MuHHjGDx4sM9lPJ05c4bvv/8+Tbuen9/Fixe9xnbgwAESExO5du0as2bN4rXXXuPw4cOEhIRQs2ZNnnzySWrXrp3mvH379hEeHu41Jn9J799GXhbomG/v2pUQ9/xbs2fD7NlcCw1l48qV2aozEDE/9RTcdFN15s6tQ8OGSYwc+V/uuONHv7aRH/995DmqGpQNeBE4CtTxsXxNoDHwAPAdMM7t2H+BpzzKdwAUqJpRva1atVJ/+fTTT7VkyZJ69epVPXjwoDZu3Fj79++vFy5c8LmOqVOnaqlSpdLdSpQooRs2bMiwjlKlSumbb76Z5fivXr2q77zzjhYrVkz37Nmjqqpnz55VQD/77LNUZdu1a6cdOnRIeT1+/HitX7++rlixQhMSEnThwoUaFhamy5cv17Vr16ZpKyYmRidOnOg1jkuXLmlISIi+9957qfYPHz5c27dv73MZbzp06KCPPvpousdVnc9vzJgxXo+NGzdOBwwYoFeuXNHy5cvrn//8Z42Pj9cDBw7owoULdf/+/WnOAfT999/PsE1/8PY553UBj/noUdV+/VTDwlTB+dm/v+qxY9muMpAxHzigesstTqj336968qT/6vZ33MAODVL/EawtKFeYIjIT6AvcoaoJvpyjqt+6/nO/iIQAb4jI86p6FfgB5yrTXWWcQUU/+SnsTMXFxdG0aVOWLFnCkCFDeOqppxg5cmTK8U8//ZTHH3+cpKQkHn/8cYYPH56mjqFDh3Lfffel28bWrVtp3bq1X+Peu3cvkZGRXLx4kdKlS/Pxxx/TtGlTAMqUKUNkZCRTpkyhSZMmVK1alXfeeYfNmzcTEREBwPnz53nxxRdZtWoVt9/uPFquXbs227ZtIzY2lieffDJL8Zw8eZJr165RpUqVVPurVKnCv13rjPlSJhCWLl3K5MmTOXv2LGfOnKF79+7UrVsXgIYNGwasXZNN+Wzt1YYN4fPP4bnnYNIkWL8eXn/dmcdpgi/XO0wRmYXTWXZU1YPZrKYITuwhOJ3iZqCnR5kuOH8BXclurFkVFxfHoUOHePjhh1m2bBkdOnRIOXb16lVGjBjBmjVruO6662jdujW9evWiWrVqqeqoWLEiFSumP2j4u+++y9IzSl80aNCAuLg4zpw5w4cffkhMTAzr1q2jSRNnxs+CBQt4+OGHqVGjBiEhIbRs2ZIHHniAXbt2AbB//34uXrzIXXfdhYik1HvlyhVuvPFGAKZNm8a0adNSjl26dAkR4YUXXkjZt2LFipQOF0hVFzh3Qzz3+VLGX+Lj40lISKBr166UKlWKgQMH0rVrV6KiooiKiqJPnz7UrFkzIG2bHEhehWfIEKf3yeMPCYsWhfHjIToafv9757nmQw85U1BcT1BMkOT2PMxY4CGc26qnRaSqayvtVma6iPzH7fUAEekjIg1FpI6I3IczbeQDVb3kKjYHqCEiL4lIIxEZBAwEfv1tnAvi4uK45557uHLlCj/9lPrCdtu2bTRu3JiaNWsSFhZGr169WL58eZo6pk2bRunSpdPdunXr5tNI0KwIDQ0lIiKC1q1bM336dFq0aMHMmTNTjtetW5f169eTmJjIt99+y7Zt27hy5UrKs7ok10SyTz75hLi4uJRt3759rFrljMUaOnRoqmM9evRIsy/5yjk8PJyQkJCU55zJTpw4kXJF6UsZf1uyZAlRUVGUKlUKgDfffJOtW7fSvn17li1bRv369VmZzediJoDy6dqrzZs7S+n95S/w1lvQtCmsXh3sqAq33L7CTL4H+R+P/U8Dk1z/XQ2o63bsKjAOqAcI8A0QC6T8RlfVwyLyW9e+YTjPRv+kqh/6Of50Xbhwgfj4eP75z3/SqVMnfv/733PjjTfSsmVLAI4ePZrq6qNGjRpeR5kG45asp6SkJC5dupRmf6lSpShVqhSnT59m5cqVPPfccwA0btyY4sWL880339CpU6c05x0+fDjNlXOZMmWoWLFiym1dd6GhobRq1YrVq1fTp0+flP2rV6+md+/ePpfxt6VLlxITE5NqX/PmzWnevDljxoyhW7duvPXWW3Tt2jUg7ZvCJzQUpkxxbsnGxDhzN4cOheefh9KlMz/f+Feudpiqmum9MlUd6PH6HeAdH85bjzOKNii+/PJLRIQmTZrQpk0bDhw4QPfu3dm2bRvVq1dPHoiUirdbh9m9JZuYmEh8fDzgdHhHjhwhLi6OihUrcsMNNwDw97//nb///e8cPPjrnfCxY8cSHR1NzZo1OXfuHIsWLWLdunWp5mKuXLmSpKQkGjZsSHx8PE888QQNGjTgoYceApzOb/To0YwePRpVpX379iQmJrJlyxaKFClC/fr1ffwUfzVq1CgGDBjALbfcQrt27ZgzZw5Hjx5l6NChWSrjK8/P7/jx46k+vx9//JEtW7akLEBw+PBhXnvttZS5mwkJCezZs4dhw4ZluW1jMnPrrbB7tzOa9sUXYeVKePNNZ2qpyUXBHnUU7M1fo2Rnz56tDRs2THmdlJSkffr00ZYtW+r58+f1888/1x49eqQcHz9+vL7++utZbie9kW5r165VnFHBqbaYmJiUMhMnTlTnf/mvYmJi9IYbbtDQ0FCtVKmSRkVFpRkRu3jxYq1Tp46GhoZq1apV9dFHH9UzZ86kKpOUlKQvv/yyNmrUSENDQzU8PFw7d+6sq1atyvIo2WSxsbFaq1YtDQ0N1ZYtW+r69euzVcZdeqNkM/v85s2bp5GRkSnlf/jhB+3Vq5def/31GhoaqjVr1tQnnnhCL1++nKZubJRsuizmrNu4UbVuXVVQHTFC9fx5386zUbI534IeQLA3f04ryciVK1e0bt26euTIEb1w4YI2atRIv//++yzXE+wva3bkpZh9mVaimjbmHj166IwZM7LVpnWY6bOYsycxUfWxx5zf4PXqqW7alPk51mHmfAv2Sj+FRtGiRZk5cyZRUVE0bdqUYcOGcf311wc7rELp9ddfp3Tp0lla3q9du3Y88MADWWpn6NChlLYHTYVbgJbkK1XKybG5Zg1cuQK33w6jR8Mvv/i1GeMh2Cv9FCrdu3enu02oCqqFCxfyi+u3SlamgGR1LinAM888w+jRznLGntOHTCHhviTfq6/6vfo77nCW1nvySfjb32D5cmdE7a23+r0pQ/DXkjUmV1WvXp2IiAgiIiIoXrx4QNuqXLlySlvJU1FMIVGypLNY7OzZTv6u2bOd136eQw1QpoxT/apVcOECtG0LY8Y4azQY/7IO0xhj/C0hwckWHRbmvA4Lg/794fDhgDXZpYuTNuzhh52Vglq2hG3bAtZcoWQdpimwcjP3pa8GDhzI3Xffneq15cwsgDJaki+AqcbKlYO5c+Gzz+DcOYiMhLFj7WrTX6zD9LNOnTql/AJ036Kjo/3WxvTp02nTpg1ly5alUqVKdO/ena+++irT82688UafYstOjsmcyqzN7L5nb7kvPTutZL7mufQny5lZgCUvybdli/MzuYPMhVRjXbvCV185V5szZjhXmwcOlAlYe4WFdZh+tnv3bqZOncqxY8dSbe+8k+naCz5bt24dw4cP54svvmDNmjUULVqUzp07c+rUqQzP2759e6qYdu3ahYikWlkouzkmM/Lss8/mOPdldt+zt9yX3qj6nufSnyxnZgHmuSTfihW59lwT0l5tPvZYS3u2mVPBntcS7M2f8zDj4+MV0E2+TIrKJm9zqc6dO6dFihTRZcuWZamuKVOmaLly5fS828znW265RQcNGpSqXEREhI4dOzbldVJSks6YMUPr1KmjJUqU0CZNmuiCBQvSbadr164ZLlLgS5uefHnP6c25jImJ0ejo6FT7tm7dqhUrVtQrV66oqmrz5s116NChOmrUKK1QoYKGh4frSy+9pBcvXtThw4druXLltGbNmvr222+n1HHx4kUdMWKEVq5cWYsXL6633nqrbty4MdO2Vf0zVzMvzA/MqkIVcwBSjfnqzBnV6OjvFVQbNlTdvDnndWLzME1O7Ny5k5CQEG6++eYsn5vZouulS5dO99bouXPnSEpKokKFCj63p6rMmzePBx98kDDXwITLly+zc+fOlETKye68806++OKLlNcTJkxg3rx5xMbGsn//fsaNG8cjjzySajk9X/napqfsvOeMLFmyhOjoaIoW/XWm1cKFCylTpgxbt25l7NixjBw5kp49e1K/fn127NhBTEwMgwYN4ujRo4Az9WTx4sX84x//YPfu3TRt2pS77rrLbrkWRNl5DhnEVGPlysHo0f9l5Uo4fx7atYMnnrB5m1llHaYf7dy5k2vXrlG5cuVUHZ374uDp8czc4W1Lb9H1ESNG0KJFCyIjI32OdfXq1Rw+fJhBgwal7Msox2RyVpDk3JdvvPEGd911F7Vr16Zfv34MHjyY2NhYn9vPSpveZOc9Z2Tp0qX07Jk6Q9xNN93EpEmTqFevHqNGjSI8PJxixYoxYsQIIiIi+Otf/4qq8sUXX3D+/Hlmz57NjBkziI6OplGjRsyZM4cqVapk63MxeVx2n0Om91wzkFyde+ipU9x5p/Nsc/BgeOEF8OFXk3FjCxf40c6dO+nduzfPPvtsqv3lfEhil9mi6+kZNWoUmzZtYtOmTYSEhPh83ty5c2nTpg0tWrRIcyyjHJPZyX158eJF1qxZk+Pcl8my+57T457n0l2zZs1SxVe5cuWUxNoAxYoVo0KFCpw4cYL/+7//48qVK7Rr1y7leEhICJGRkezfvz/HMZo8omRJOro/BJw929lKlPDtcs09tVhu/SHl6txrlS8P99xD2bIwZw7ce6+zYpDxnXWYfrR7924mTJjgNWUVwKJFi5g1axYXLlzg+uuv5+OPP065HerZyXizYsWKVK8ff/xx3n33XdauXUudOnV8jvPEiRMsXbo0zZWPLzkm3XNfJmdBSZY8sMYzRdnDDz9MixYt+NOf/pSyr3r16j636Y/3nBHPPJee7yeZiHjdl5SUhPNIx3sGmkAltDZBkJDA8QEDqLJ5s7NKQFgY9OrlXK7lNSVLphrhU33ZMmeQkatz79w5iLHlU3ZL1k8OHz7MqVOnMnx+2bVrV7Zu3crevXupW7cuq92ywWb1luyIESNYtGgRa9asoWHDhlmKdf78+RQvXpy+ffum2u+eY9Ld6tWradu2LZA692XyKjbJW61atQBS8lwmb2FhYWn2Jaco86VNf7znjHi7HZtVERERhIaGsmnTppR9165dY/PmzTRu3DinIZq8olo1rpYqFZTnkFnmsXjCteLFA754QkFnV5h+snPnTgCqVq2a5mopPDycokWLMm/ePN5//30uX77Mt99+m2oKQ1ZuyT766KMsWLCAJUuWUKFChZT2kp+Zgvfcl+Dc6nzjjTfo27cvZcqknZeVWY7JzHJfDhkyxMdPzPc2fX3P2eGZ5zK7SpUqxbBhwxg7dizh4eHUrl2bmTNncvz4cYYPH555BSbfCD192nn+OGQIvP6684wwL/IYZFTk0qW827nnE9Zh+klyh9moUaNU+0WEU6dOsXTpUvbv38+GDRsoWbIk9evXz/aVx6uuRZyjoqJS7Z84cWLKfMeTJ0/y9ddfpzl33bp1HDp0iH/+859e677//vv56aefmDJlCseOHaNJkyZ8+umnKVePAJMnT6ZKlSq88MILDBs2jLJly9KiRYtsLVDua5u+vGdfJSUlpYyG/eSTT2jTpo3X279ZNWPGDMBZLOHMmTPcfPPNfPbZZ7bwegGz75ln6Nixo/Mirw/oSh5kNGQIRydOpHpuDDIqyII9ryXYW27lwxw9erTOmTNHVVXnzJmj5cuXz1Y9hWreWg6lNw+zS5cuOnToUFVNP89lbseMzcPMN/JjzKqWD9Mfmz3DzCUDBgzg2WefpX379hw7dizVaEsTOO65L0+ePMnSpUtZv349Xbp0AbKX59KfLGemMfmH3ZLNJc2aNeOw28P2rN5GNFnnmfuyW7duHDp0iCeffJJevXoB2ctz6U+WM9OY/MM6TFNgJU9dSbZmzZogRZK+ypUrU7ly5WCHYYzxgd2SNcYYY3xgHabJN7zlt7R8ksaY3GIdZh4WGxtLs2bNKFu2LGXLliUyMpLNmzdnqY5p06YhIjz22GOp9k+aNClNXkx/pZnyzG25Z8+eVMc3bNhAjx49qF69OiLC/Pnzfa7bM7+l5ZM0xuQW6zDzsBo1ajBjxgx27drFjh076NSpE0899VSaDig9W7ZsYe7cuanWRHXXoEGDVPkx9+7dm+OYveW2HDNmTKrclomJiTRp0oRZs2alrPjjK8/8lpZP0hiTu4iaIAAAEdBJREFUW6zD9LOdO3cSFRVFyZIliYiIYMOGDbz33nupFuX21e9+9zu6detGREQE9evXZ+rUqYSFhfl0lfnzzz/Tv39/5s2bl24KrKJFi1K1atWUrVKlSqmOqyrPPfccdevWpWTJkjRt2jTdBQ+SvfjiiwwcOJDBgwfTqFEjXnnlFa677jpmz56dUua3v/0t06ZN495776VIEfsnaIzJH+y3lR9t376d22+/nTvuuIM9e/Zw2223MXHiRKZOncrkyZOB7Oe9vHbtGu+++y6//PJLmjVWvRkyZAj33nsvnTp1SrdMQkIC1atXp3bt2vTt25eEhIRUx7Oa9zK93JatW7fOMLelMcYPspOj02SJTSvxoz//+c90796dCRMmANCvXz+6d+9O+/btUzouz0we3rhPh9i7dy+RkZFcvHiR0qVL88wzz2S66MHcuXOJj49nwYIF6Za59dZbmT9/Pg0bNuTEiRNMmTKFtm3bsm/fPq677rqUvJerVq1KScNVu3Zttm3bRmxsLNHR0WnqTC+3ZYUKFThw4ECGMRtjcsg9R6drKUnjX9Zh+skPP/zAxo0bWbt2bcq+0NBQkpKSUq4uIet5Lxs0aEBcXBxnzpzhww8/5Nlnn6V79+40adLEa/mvv/6a8ePHs3HjRkJDQ9Ott1u3bqle33bbbdSpU4e33nqLUaNGZZr3cuHChTzyyCMp+1esWEHdunUBS3FlTK7ySOOV5RydxmfWYfpJ8hVUmzZtUvZ9/fXXNGjQgN/85jcp+3zNe5l8VRcaGpqSX7N169asWrWKmTNnMm/ePK/nbt68mZMnT6bqUK9du8aGDRuYM2cO58+fp3jx4mnOK126NDfddBOHDh0CMs97WbFiRW699daUfdWrVyckJMRrbsvTp0/7ZXFzY4wXCQkwejQsWZL3c3Tmc9Zh+smZM2cQkZRBLOfOnWPq1KlpRnBm9ZasJ1Xl0qVL6R7v2bNnqryZ4EzFqFevHuPHj0/3qvPixYscPHiQO+64A0id9zK956De0oMl57bs06dPyr6dO3fy4IMPphuzMSYHPNJ45ekcnfmcdZh+0qJFC1SV6dOn079/f5544gmqVatGfHw8hw4dol69ekDWbsmOHTuW6Ohoatasyblz51i0aBFxcXFMnTo1pYxn3svy5ctTvnz5VPWUKlWKihUrprrqHD16NN27d+eGG27gxIkTTJ48mfPnzxMTEwNkP++lt9yWJ0+eTJXbMjExkfj4eMC5kj1y5AhxcXFUrFgxzdWsMcYHbmm8fM7ReewY9O0Lixdb5+qrYKdLCfbmz/ReU6dO1fDwcC1evLj269dPT506pW3bttXw8PBs1RcTE6M33HCDhoaGaqVKlTQqKipNKqqJEyeq878xfd7SXN1///1arVo1LVasmF5//fV6zz336L59+1KVSUpK0pdfflkbNWqkoaGhGh4erp07d9ZVq1Zl2F5sbKzWqlVLQ0NDtWXLlvrSSy+lOr527VoF0mwxMTFZfh/J8EN6LM8Y8xuLOXfkx5hVvcQ9bJhqkSLOz2ygEKb3CnoAwd5yKx+mv+THL6u/YrYOM2MWc+7IjzGrusVdooTzq99zK1EiS/UVxg7T5mGafMU9vyVYPkljsiwhAfr1cwYHgfOzf39wSz9ovLNnmCbf8MxvCZZP0pgss0FC2WYdpsk3vI0etnySxmRDdgYJGeswjTGm0Pnoo1//OzY2eHHkM/YM0xhjjPGBdZjGGGOMD6zDNMYYY3xgHaYxxhjjA+swjTHGGB9Yh2mMMcb4IFc7TBEZJyLbReSsiPwoIp+IiPfEjr+e01FElorIMRG5ICJ7RORhL2XUy9YwsO/IGGNMYZHbV5gdgVeBtkAn4CrwbxHJKH1HW2AvcC/QBJgNvC4i/byUvQmo5rYd8lvkxhhjCrVcXbhAVbu6vxaRAcDPQDvgk3TO8cy2PFtE7gB6A4s8jp1Q1ZN+CtcYY4xJEexnmGVcMZzO4nll0zlnh+vW7X9cnaoxxhjjF8FeGm8WEAds9vUEEbkbiMK5Kk12DBgGbAdCgQHAf0Sko6pu8F+4xhhjCitx0poFoWGRF4G+wG9UNcHHc9oBK4Axqjo7k7KfAldVtYeXY0OAIa6XDYCvsxJ7kIUD+e22s8WcOyzm3JEfYwb/x11LVSv5sb48LygdpojMxOks71DVgz6e8xvgU+CvqvqSD+UnAn1VtVGOgs1jRGSHqrYOdhxZYTHnDos5d+THmCH/xp2X5PotWRGZhdNZdsxCZ9ke+BcwyZfO0qUFzq1aY4wxJsdytcMUkVic54s9gdMikpyxNFFVE11lpgO3qGqU63VHnM7yVWCh2znXVPVHV5mRwP+AfTjPMB90tdE7F96WMcaYQiC3R8kOxxkZ+x+cq7/kbbRbmWpAXbfXA4EwVxn3c7a7lQkFXgD2ABuB3wDRquqW9K3AeD3YAWSDxZw7LObckR9jhvwbd54RtEE/xhhjTH4S7HmYxhhjTL5gHaYxxhjjA+swg0hEhovIYRG5KCI7ReT2DMreIyKrXIvWnxORrSLibY5pbxHZLyKXXD975eWYRWSwiGwUkVMickZE1rqmEOXZmD3KP+Ba6H95Xo9ZRMqKyMsictT17yNeRO7LB3GPEJGDIvKLiHwnIrEiUjpIMXcQkS9E5CdXPAdFZLSXcnnpe5hpzLnxPSwQVNW2IGzA/cAVYDDQCHgFSARuSKf8LGAscAsQAUwErgG3u5WJxFnQ/i+uOv/ien1rHo55IfAYcDPOIhJzgPNAvbwas1vZOsB3wAZgeR7/t1EM2IKz8MdvgBtdP9vk8bj7AZdwRtffiJO04TAwL0gxt8KZFncTUBtnRP55YHge/h76EnNAv4cFZQt6AIV1A7YCcz32HQKmZ6GObcDf3F4vBlZ7lPk38E5ejdnLcQF+AP6Yl2N2dUBbgRhgPv7tMAPxb2MIkACE+ivOXIr778B6jzJPA1/loZg/cv+O5ZPv4UcZxePv72FB2eyWbBCISCjOX32rPA6twkln5qsypF6EPtJLnSuzWKdXAYzZUyhQIpMyPglwzFOB/6nqW9mPMK0AxtwT+Bx4RUR+cN0mnCQixXIUsEsA494EtBCR21zt3AD0wFn1K0f8EbOI3Owqu95td57+HqYTsye/fQ8LEuswgyMcCAGOe+w/DlRNWzwtEXkUqAEscNtdNSd1ZiJQMXuagnN7aVk2YvQUkJhF5E6c22JD/RCjp0B9znWAPjhXxtHAUzjxT89hvMkCEreqvguMBzaIyBXgG5z8uGOCGbPrWeolYAfwqqrOcTucJ7+HmcTsyZ/fwwIj2NlKCjvPSbDiZV8aItIbeB5nrdxv/FFnFgQi5uQyI4BHgM6qejangbrxW8wiEo5zC7afqgbyr29/f85FgBPAYFW9BuwUkeuAmSLyhLruw+W1uEWkA07nPhznVmQEzrPPp4G/BjHm24HSwG3ADBE5rKruf6Dkxe9hZjE7FQXue5jvWYcZHCdxBjd4/kVYmbR/Oabi+sWyAPi9qnr+9fdDdur0UaBiTi4zAuev2m6qui3n4QKBibkJzmpU/xaR5H1FXOdcBW5S1ZxkvwnU53wMuOLqLJMdwFlFKxz4MQcxQ+DinoLzrO0N1+u9IlIKeENEnlHVq8GIWVUPu8VTBZjEr1fGefJ7mEnMQMC+hwWG3ZINAlW9DOwEungc6gJ8kd55rikA/wQGquoHXopszmqdvgpgzIjIKJxngtGquimnsSYLUMzbgaY4i/snb8twlmRsgTOCM6/FDM7zywgRcf/O1wcu4IeUTwGMOwyng3B3DeeKKkeyG7MXRYDibq/z3PfQC8+YA/Y9LFCCPeqosG44z8AuA4NwhobPwnlmUMt1/G3gbbfyfXGGko/A+esyeavoVqYtzvD1cUBD188r+Hc4u79jfsJV530eZcrl1Zi9tDEf/08r8ffnXBM4izMFoQHQFWdKzPN5PO5Jrrj74kyJ6ALEAx8GKeY/AncD9VzbH1zxPZuHv4e+xBzQ72FB2YIeQGHecJ7L/A9nntlOoL3bsXXAOo/X6mVb51HnvcBB1z/+A8A9eTlmV13eyszPqzF7qX8+fuwwA/hv4zacq5BfcK6En8HP00wC8O+jKM78zEOuuL/FyVxUIUgxj8TJinQe+BnY5Tq/iEedeel7mGnM5ML3sCBstvi6McYY4wN7hmmMMcb4wDpMY4wxxgfWYRpjjDE+sA7TGGOM8YF1mMYYY4wPrMM0xhhjfGAdpjHGGOMD6zCNMcYYH9ji68bkMSLyH5wF0RU4h5PENy64URljbKUfY/IYESmnqj+7/rsXMFFVWwQ5LGMKPbslawoUEakkIq+KyP9E5IKIfC0igzI5Z76IqGtb57a/hoi8IiKbXXWpiNyYTh01ReQDEflZRM6KyEcickN23kNyZ+lSNjt1BIKITBKRNH9hi0g1EUkSkXbu5USkqFuZCW6f8Xe5Gbcx/mIdpikwRKQ48ClwF86C3XfjZJd/TURqZnL6D0AkzqLUySJwsjecxknflV67YcAanMwUMcAAnKwQa125G7PzXha6OpbJwIPZqSMX9cTJp7k5gzJv4ny+n+ZKRMYEgD3DNAXJvUAroKmq7gMQkctAPyCzjuuSqm7x2LdBVau46hkE3JnOuYOBOkADVY13ld+Dk2HjEeDF5IIisgtI78rzZlX9FkBV+7u1OwOIziT+YOoJLFPVpPQKqOr3wPciktNE1cYEjV1hmoKkF7AjubN06Y2TIPlQVivLqAPw0APYktxZus49jJO0+XcedbZU1fB0tm+91D0P6CIi12UUgNtt0IYislJEzovIERF5yHV8gIgcFJFEEVkrInU9zr/Ldev5F9dt5SUi0iCzNy4iZYGOwJLMyhqT31mHaQqS24DNIhIqIhEiMhUnOfF4Vb0WwHZvAr7ysn8f0DgrFYlIBRGp5rarN3ACOOVjFe8D/8K56tsJ/ENEpgHDgLHAQzgJpBe5tXmX65xEnOTEw4AmwCYRqZ5Je9E4OR//7WN8xuRbdkvWFAgiUgWojvPMcgHOs0eA93Cu0gKpIs5zTk+ngApZrKsCsFhESgBJOJ3l3er7cPbnVfVtABHZAXTHuS1cW1XPuvZXA2aJSC1V/QaYAiQA3VT1qqvMZuC/wJ+BURm01xP4TFUvZfF9GpPvWIdpCorWrp/bgd3AQpyrn8HAMZys84HkrUOTLFeimgC0yUEcK9zqOi0iJ4DdyZ2ly0HXz5oichJoCUxL7ixd5x4Wkc+BDuk1JCKhOAOshqdXxpiCxDpMU1C0Bs4CX7uuxr4ClolIaZzbjIHsME/jXGV6qoD3K89A8mzvcjr7AErgxCg4f1R4+gGolUFbUUBJnNu5xhR49gzTFBStgV1ebl0qzi/+QNqH8xzTU2Ngf4DbzqnTOJ9RVS/HqgI/ZXBuT2C9qp4JRGDG5DXWYZqCohUeHaPruebdwAcBbnsZcJuI1HFr+0agnetYnqWq53EGB/URkZDk/SJSC2gLrPd2nogIzvNRGx1rCg27JWvyPddIzmrAfSJyGFiFMwBoHPAdMCsHdd/r+s9Wrp/dXHMJf1TV5M5kLvAYsFREJuBcsU0GvgVey27buegpnNuqy0XkVaA08DTwM/C3dM65DeczX5pBvbbupilQrMM0BUHygJ+3gUE4Izu/AZbjDGZJzEHd73u8ftX1cz3O/ENU9byIdAJm4ozQFeA/wMgctp0rVPUzEYnGWR3pPZxnnOuAJ1X1aDqn9cSZ8+ptmbuSwLUAT+UxJtfZ4usm3xORycAfgQpZmH7hfv58nM4vAlD7RZ85ETkILFDVqV6OfQQ0U9UIt30ChOBM8YlS1Rq5FqwxfmJXmKYgaA3szE5n6aYWcAW3K0eTPlVt6LlPRFoDt+NM53nR4/BfcG5TA3wf2OiMCQy7wjT5nmuu4ZuqOiab59+Ik38S4Jyqfu2n0AoVEUnAGUj4HjBBVS+7HauG81wZ4LKq7glCiMbkiHWYxhhjjA9sWokxxhjjA+swjTHGGB9Yh2mMMcb4wDpMY4wxxgfWYRpjjDE+sA7TGGOM8YF1mMYYY4wPrMM0xhhjfGAdpjHGGOOD/wdEQpeLs+zhagAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "'''3.3 Plot of the transformed plane data and fit'''\n", "\n", "plot_mod_arrhenius_fit_transformed(r_cte, temp_vec, k_cte_vec, k_0, energy_a, alpha)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Is the fit a straight line? Explain:**" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "'''2.3 Plot the data and fit in the Cartesian plane'''\n", "\n", "plot_mod_arrhenius_fit_cartesian(r_cte, temp_vec, k_cte_vec, k_0, energy_a, alpha)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "phi(x_LS) = 3.04631e-02\n", "sqrt(phi(x_LS)) = 1.74537e-01\n", "Mean(r_vec) = -2.91125e-16\n", "STD(r_vec) = 1.83978e-02\n", "Goodness of fit = 1.83978e-02\n" ] } ], "source": [ "'''2.4 Goodness of fit'''\n", "\n", "r_vec = b_vec - a_mtrx @ x_vec\n", "phi_ls = np.linalg.norm(r_vec)**2\n", "\n", "print('phi(x_LS) = %8.5e'%phi_ls)\n", "print('sqrt(phi(x_LS)) = %8.5e'%math.sqrt(phi_ls)) # norm of the residual vector\n", "print('Mean(r_vec) = %8.5e'%np.mean(r_vec))\n", "print('STD(r_vec) = %8.5e'%np.std(r_vec))\n", "print('Goodness of fit = %8.5e'%math.sqrt(phi_ls/n_pts))" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "'''2.4 Contour plot of objective function'''\n", "\n", "n_plot_pts = 300\n", "\n", "objective_function_data = get_mod_arrhenius_objective_function_data(n_plot_pts, a_mtrx, x_vec, b_vec)\n", "\n", "plot_mod_arrhenius_objective_function( objective_function_data, x_vec, delta_factor=.2 )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Assignment 4 (25 pts): For each item below respond in a separate notebook cell.\n", " 1. \n", "Make a table and compare the values of the modified Arrhenius parameters for each Assignment 1 to 3. Compare the values of the norm of the residual and goodness of fit for each data set. Which data set fits the model best? Explain.\n", "\n", " 2. \n", "Would you say the experimental data is consistent? Explain.\n", " 3. \n", "Based on the values of the parameters computed for the experimental data, what advice would you give to a company designing a chemical reaction system based on this experimental data?\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 4.1 Table\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Best fit?** " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Data consistency?**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Design advice?**" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "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": "3.7.1" }, "latex_envs": { "LaTeX_envs_menu_present": true, "autoclose": false, "autocomplete": true, "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 1, "hotkeys": { "equation": "Ctrl-E", "itemize": "Ctrl-I" }, "labels_anchors": false, "latex_user_defs": false, "report_style_numbering": false, "user_envs_cfg": false } }, "nbformat": 4, "nbformat_minor": 2 }