diff --git a/preliminaries/First_Notebook_HW1_CHEG231.ipynb b/preliminaries/First_Notebook_HW1_CHEG231.ipynb new file mode 100644 index 0000000..9d133a6 --- /dev/null +++ b/preliminaries/First_Notebook_HW1_CHEG231.ipynb @@ -0,0 +1,411 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "dfad842a-3891-400f-bbec-1959db1f0ded", + "metadata": {}, + "source": [ + "# My first Jupyter Notebook\n", + "\n", + "The goal of this notebook is to calcuate the molar volume of a gas using the van der Waals equation of state.\n", + "\n", + "$$ (P + a/V^2)(V-b) = RT$$\n", + "\n", + "$$ f(V) = RT - (P +a/V^2)(V-b) $$\n", + "\n", + "$ V $ is the molar volume (m^3/mol)" + ] + }, + { + "cell_type": "code", + "execution_count": 81, + "id": "3517ba18-e223-47d5-bc9a-d97f4dde4843", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[0.00488274]\n" + ] + } + ], + "source": [ + "import scipy.optimize as opt\n", + "\n", + "\"\"\"\n", + "Constants for the vdW equation for CO2\n", + "\"\"\"\n", + "\n", + "a = 0.3658 # Pa m^6/mol^2\n", + "b = 4.286e-5 # m^3/mol\n", + "\n", + "\"\"\"\n", + "Other parameters\n", + "\"\"\"\n", + "\n", + "R = 8.314 # J/mol.K R = the ideal gas constant\n", + "\n", + "P = 5e5 # Pa, pressure\n", + "T = 300 # K, temperature\n", + "\n", + "def vdW(V):\n", + " x = R*T - (P + a/V**2)*(V-b)\n", + " return x\n", + "\n", + "V_vdw = opt.fsolve(vdW, R*T/P)\n", + "\n", + "print(V_vdw)\n", + "# has units of mol/m3" + ] + }, + { + "cell_type": "markdown", + "id": "0036f5cc-4c1b-4ac2-bd9c-fbd501ec8850", + "metadata": {}, + "source": [ + "We are going to compare the vdW volume to the one predicted by the ideal gas" + ] + }, + { + "cell_type": "code", + "execution_count": 82, + "id": "86b52e50-7e13-4f9c-866a-84fc1cb6e673", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.0049884\n", + "[-0.02118087]\n" + ] + } + ], + "source": [ + "V_ideal = R*T/P\n", + "print(V_ideal)\n", + "print((V_vdw-V_ideal)/V_ideal)" + ] + }, + { + "cell_type": "markdown", + "id": "75391bd7-7390-4ffc-9c1b-c7425f92fb76", + "metadata": {}, + "source": [ + "---\n", + "# Additional calculations for the homework:\n", + "\n", + "1. What is the molar volume of CO2 for 150K, 200K, 250K, and 350K calculated using the van der Waals equation?\n", + "2. Make a plot of the molar volume of CO2 using the van der Waals equation between 150K and 350K" + ] + }, + { + "cell_type": "code", + "execution_count": 83, + "id": "ca417379-e444-4ae2-99e4-048319282dfc", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[0.00221285 0.00313854 0.0040198 0.00488274 0.00573607]\n", + "[0.0024942 0.0033256 0.004157 0.0049884 0.0058198]\n", + "[-0.11280207 -0.0562481 -0.03300422 -0.02118087 -0.01438723]\n" + ] + } + ], + "source": [ + "# First, we'll need numpy\n", + "\n", + "import numpy as np\n", + "\n", + "# then make an array of temperatures\n", + "\n", + "T = np.array([150, 200, 250, 300, 350])\n", + "\n", + "# and caculate (now an array) of molar volumes\n", + "\n", + "V_ideal = R*T/P\n", + "V_vdw = opt.fsolve(vdW, R*T/P)\n", + "\n", + "print(V_vdw)\n", + "print(V_ideal)\n", + "print((V_vdw-V_ideal)/V_ideal)" + ] + }, + { + "cell_type": "markdown", + "id": "0e365e83-d431-4ab3-b0a3-f80b78658952", + "metadata": {}, + "source": [ + "We can make a table of the results:" + ] + }, + { + "cell_type": "code", + "execution_count": 84, + "id": "a717f6d6-4a99-46d0-af7c-d99e3d996177", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[ 1.50000000e+02 2.21284907e-03 2.49420000e-03 -1.12802074e-01]\n", + " [ 2.00000000e+02 3.13854133e-03 3.32560000e-03 -5.62480969e-02]\n", + " [ 2.50000000e+02 4.01980148e-03 4.15700000e-03 -3.30042156e-02]\n", + " [ 3.00000000e+02 4.88274136e-03 4.98840000e-03 -2.11808682e-02]\n", + " [ 3.50000000e+02 5.73606922e-03 5.81980000e-03 -1.43872263e-02]]\n" + ] + } + ], + "source": [ + "# Transpose and stack the arrays\n", + "\n", + "# First I have to reshape the array into a 1x5 array:\n", + "T = T.reshape(1,5)\n", + "V_vdw = V_vdw.reshape(1,5)\n", + "V_ideal = V_ideal.reshape(1,5)\n", + "\n", + "# I'll also include the differences\n", + "V_diff = (V_vdw-V_ideal)/V_ideal\n", + "V_diff = V_diff.reshape(1,5)\n", + "\n", + "# Now we're ready to transpose the array\n", + "table = np.hstack((T.T, V_vdw.T, V_ideal.T, V_diff.T))\n", + "\n", + "# and print the table\n", + "print(table)" + ] + }, + { + "cell_type": "markdown", + "id": "92fad8ed-b458-4c89-80f9-31da065969ac", + "metadata": {}, + "source": [ + "What would happen if we printed the table without transposed arrays?" + ] + }, + { + "cell_type": "code", + "execution_count": 85, + "id": "0d689b0e-f0c9-4f4e-96ce-5c6224374430", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[150 200 250 300 350]] [[0.00221285 0.00313854 0.0040198 0.00488274 0.00573607]] [[0.0024942 0.0033256 0.004157 0.0049884 0.0058198]] [[-0.11280207 -0.0562481 -0.03300422 -0.02118087 -0.01438723]]\n", + "\n", + "[[ 1.50000000e+02 2.00000000e+02 2.50000000e+02 3.00000000e+02\n", + " 3.50000000e+02 2.21284907e-03 3.13854133e-03 4.01980148e-03\n", + " 4.88274136e-03 5.73606922e-03 2.49420000e-03 3.32560000e-03\n", + " 4.15700000e-03 4.98840000e-03 5.81980000e-03 -1.12802074e-01\n", + " -5.62480969e-02 -3.30042156e-02 -2.11808682e-02 -1.43872263e-02]]\n" + ] + } + ], + "source": [ + "print(T, V_vdw, V_ideal, V_diff)\n", + "print()\n", + "print(np.hstack((T, V_vdw, V_ideal, V_diff)))" + ] + }, + { + "cell_type": "markdown", + "id": "520b17ef-813f-4ace-b2c7-416c3d205164", + "metadata": {}, + "source": [ + "This makes one long row array!\n", + "\n", + "Next, we'll make a plot." + ] + }, + { + "cell_type": "code", + "execution_count": 86, + "id": "2c33c8eb-3eb2-49b1-99a1-0249d216efa8", + "metadata": {}, + "outputs": [], + "source": [ + "# Make many more points for T\n", + "\n", + "T = np.arange(150, 450, 1)\n", + "\n", + "# Recalculate V_vdw and V_ideal for those points\n", + "\n", + "V_vdw = opt.fsolve(vdW, R*T/P)\n", + "V_ideal = R*T/P\n" + ] + }, + { + "cell_type": "code", + "execution_count": 87, + "id": "15bf663f-0c1f-4870-87b9-bbaf9b2f38b5", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 87, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Create a figure. We need to load matplotlib\n", + "\n", + "import matplotlib.pyplot as plt\n", + "\n", + "fig, ax = plt.subplots()\n", + "plt.title('Molar volume versus temperature of CO2, van der Waals EOS')\n", + "ax.plot(T,V_vdw, label='V_vdw')\n", + "ax.plot(T,V_ideal, label='V_ideal')\n", + "ax.set(xlabel='Temperature, K',ylabel='Molar volume, m^3/mol')\n", + "ax.legend(loc='best')\n", + "#plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "fd7a68ed-ba69-4eb0-ae59-e949f57645bb", + "metadata": {}, + "source": [ + "Let's plot the difference between the vdw and ideal equations of state?" + ] + }, + { + "cell_type": "code", + "execution_count": 88, + "id": "a501cef5-3fb4-4c0f-a162-67028ff898aa", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[Text(0.5, 0, 'Temperature, K'), Text(0, 0.5, 'Molar volume, m^3/mol')]" + ] + }, + "execution_count": 88, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots()\n", + "plt.title('Difference between real and ideal molar volume calculations, CO2')\n", + "ax.plot(T,V_ideal-V_vdw)\n", + "ax.set(xlabel='Temperature, K',ylabel='Molar volume, m^3/mol')\n", + "#ax.legend(loc='best')\n", + "#plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "1676e828-98e8-48a1-ade0-ef7942eb6080", + "metadata": {}, + "source": [ + "The molar volume of the van der Waals EOS is lower than the ideal gas volume. As a percentage," + ] + }, + { + "cell_type": "code", + "execution_count": 89, + "id": "61136f86-ea20-4f04-a2ff-8efae9d49f9a", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[Text(0.5, 0, 'Temperature, K'), Text(0, 0.5, 'Molar volume, m^3/mol')]" + ] + }, + "execution_count": 89, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots()\n", + "plt.title('Fraction difference between real and ideal molar volume calculations, CO2')\n", + "ax.plot(T,(V_ideal-V_vdw)/V_vdw)\n", + "ax.set(xlabel='Temperature, K',ylabel='Molar volume, m^3/mol')\n", + "#ax.legend(loc='best')\n", + "#plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "cb3f0057-b222-43ef-997e-2837b352e8f8", + "metadata": {}, + "source": [ + "As the temperature increases from 150K to 450K, the difference between the real and ideal properties changes from over 10% to less than 1%. The fluid becomes more ideal as the temeprature increases (at this pressure)." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "8ec9c46e-5cf0-40f6-9146-21caf531c46c", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.4" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/preliminaries/SIS_Problem_1_2_CHEG231_EMF.ipynb b/preliminaries/SIS_Problem_1_2_CHEG231_EMF.ipynb new file mode 100644 index 0000000..f25e1a5 --- /dev/null +++ b/preliminaries/SIS_Problem_1_2_CHEG231_EMF.ipynb @@ -0,0 +1,310 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "f225380f", + "metadata": {}, + "source": [ + "# SIS Problem 1.2 - volume of water and mercury - EMF solution\n", + "\n", + "This notebok plots data given in the table for SIS problem 1.2. The original data source is R. H. Perry and D. Green, eds., Chemical Engineers’ Handbook, 6th ed., McGraw-Hill, New York, 1984, pp. 3-75–3-77.\n", + "\n", + "Eric Furst \n", + "August 2023" + ] + }, + { + "cell_type": "markdown", + "id": "795db611", + "metadata": {}, + "source": [ + "\n", + "## Experimental Data\n", + "\n", + "The table in the problem gives the volume in cm3 of one gram of each fluid between 0 and 100 C.\n", + " \n", + "\n", + "|Temperature, C| Volume of 1g H2O | Volume 1g of Hg |\n", + "|:----:|:----:|:----:|\n", + "|0|1.001329|0.0735560|\n", + "|1|1.0000733|0.0735694|\n", + "|2|1.0000321|0.0735828|\n", + "|3|1.0000078|0.0735961|\n", + "|4|1.0000000|0.0736095|\n", + "|5|1.0000081|0.0736228|\n", + "|6|1.0000318|0.0736362|\n", + "|7|1.0000704|0.0736496|\n", + "|8|1.0001236|0.0736629|\n", + "|9|1.0001909|0.0736763|\n", + "|10|1.0002719|0.0736893|\n", + "|20|1.0015678|0.0738233|\n", + "|30|1.0043408|0.0739572|\n", + "|40|1.0078108|0.0740910|\n", + "|50|1.012074|0.0742250|\n", + "|60|1.017046|0.0743592|\n", + "|70|1.022694|0.0744936|\n", + "|80|1.028987|0.0746282|\n", + "|90|1.035904|0.0747631|\n", + "|100|1.043427|0.0748981|\n", + "\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "8ba8e9f4", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "markdown", + "id": "9cacacf5", + "metadata": {}, + "source": [ + "The first step is to create numpy arrays of the data." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "f3d2f917", + "metadata": {}, + "outputs": [], + "source": [ + "# Data, T in C volume in cm^3\n", + "\n", + "T1 = np.arange(0,10,1)\n", + "T2 = np.linspace(10,100,10)\n", + "T = np.concatenate((T1,T2))\n", + "\n", + "Vh2o = np.array([1.0001329, 1.0000733, 1.0000321, 1.0000078, 1.0000000, \n", + " 1.0000081, 1.0000318, 1.0000704, 1.0001236, 1.0001909,\n", + " 1.0002719, 1.0015678, 1.0043408, 1.0078108, 1.012074,\n", + " 1.017046, 1.022694, 1.028987, 1.035904, 1.043427])\n", + "\n", + "Vhg = np.array([0.0735560, 0.0735694, 0.0735828, 0.0735961, 0.0736095,\n", + " 0.0736228, 0.0736362, 0.0736496, 0.0736629, 0.0736763,\n", + " 0.0736893, 0.0738233, 0.0739572, 0.0740910, 0.0742250,\n", + " 0.0743592, 0.0744936, 0.0746282, 0.0747631, 0.0748981])\n" + ] + }, + { + "cell_type": "markdown", + "id": "4133d8cd", + "metadata": {}, + "source": [ + "Now we can plot the data." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "7579e5f6", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'Volume of water and mercury with temperature')" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Plot the data\n", + "\n", + "fig, ax = plt.subplots()\n", + "ax.plot(T, Vh2o, 'o')\n", + "ax.plot(T, Vhg, 'o')\n", + "plt.xlabel('T (C)')\n", + "plt.ylabel('Volume (cm^3)')\n", + "plt.title('Volume of water and mercury with temperature')" + ] + }, + { + "cell_type": "markdown", + "id": "69e5cfeb", + "metadata": {}, + "source": [ + "On a single plot, the specific volumes of water and mercury are too different from each another. Let's plot them separately." + ] + }, + { + "cell_type": "markdown", + "id": "807e8ac4", + "metadata": {}, + "source": [ + "## Plot 1: Water specifc volume with temperature" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "c24d3d45", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'Volume of water with temperature')" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots()\n", + "ax.plot(T, Vh2o, 'o')\n", + "plt.xlabel('T (C)')\n", + "plt.ylabel('Volume (cm^3)')\n", + "plt.title('Volume of water with temperature')" + ] + }, + { + "cell_type": "markdown", + "id": "3a48234c", + "metadata": {}, + "source": [ + "## Plot 2: Mercury specific volume with temperature" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "a4577546", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'Volume of mercury with temperature')" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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ZBg4cCAD62/qbY/To0dBqtfj6668lS2uMGTMG69evh0wmw6hRo265n759++Lw4cNISUmBp6cnnJyc8MADD5h8HMb2CwCvvfYaxo8fD7lcDn9/fwwZMgR/+ctf8Mwzz+DEiRN45JFH4OjoCI1Gg6NHj6Jv375YtGjRbb//9fbu3QuFQoGxY8fihx9+wNq1a/HQQw/pg1yPHj2wYcMGrFmzBv/73/8wbtw43H333fj111+RnZ0NR0fHWy4u2rt3b/Ts2RMrV66EEAIuLi5ISUnRX7NmbGzefvtthIeHw9bWFg888ACcnJxu+7PVEsdCFmbZa92J2sbbb78tAAhfX1+jr586dUpMnDhRqFQqYWdnJx566CHJ3XlCGL9rTwghUlNTRb9+/YSDg4Pw8fERW7dubfKuvcWLFxvd5+bNmyXthw4dEgDEp59+KmnPzMwUYWFhwsXFRdja2op77rlHhIWFGfQz5ty5c+LJJ58Urq6uwtbWVjzwwANi8+bNQqvVSvqZetdeWxxT43j+9ttvBjVotVrxj3/8Q/j5+Qk7OzuhUqlEcHCwSElJ0fepra0VL730kujevbtwcHAQw4cPFwUFBU3eWZWTk3PT4+7Ro4fo06fPLcfnejqdTri5uQkAkrvXvvvuOwFA9O/f32AbY3ftFRQUiCFDhohOnToJAGL48OE3rb1x3A8dOnTT+mpra8WCBQtEly5dhEwmM7hL7f333xcDBw4Ujo6OwsHBQfTs2VM89dRTkjv0hg8fLh588EGDfTf1mbrx89P4d87NzRUTJ04UnTt3Fk5OTuKJJ54Qv/76q8H2+/fvFyNHjhTOzs7C3t5eeHt7i+nTp4uDBw/q+4SHhwtHR0ejx1xUVCTGjh0rnJycxN133y1mzJghSkpKjN6Jt2rVKuHl5SVsbGwk49lSn63mHAu1TzIhuKwqEVFzff/993jooYewbds2PPfcc5Yup0N5+eWXER0djd9++80i1+0RmYOn9oiImuHs2bM4d+4cVq9eDU9PT8mq1UR05+J9lUREzfD3v/8dY8eOxeXLl/Hpp59KblggojsXT+0RERERmYkzUkRERERmYpAiIiIiMhODFBEREZGZeNdeK9LpdLh48SKcnJya/MkJIiIial+EEKiuroaXl9ctf++QQaoVXbx4Ed27d7d0GURERGSG8+fPo1u3bjftwyDVipycnABc+0Pc+MvjRERE1D5VVVWhe/fu+u/xm2GQakWNp/OcnZ0ZpIiIiKxMcy7L4cXmRERERGZikCIiIiIyE4MUERERkZkYpIiIiIjMxCBFREREZCYGKSIiIiIzMUgRERERmYlBioiIiMhMDFJEREREZuLK5kRERGRVtDqB7OIKlFXXoKuTEkFqF8htbr0KeWtgkCIiIiKrkVaoQXRKETSVNfo2T5US6yf6YpyfZ5vXw1N7REREZBXSCjVYlJQnCVEAUFpZg0VJeUgr1LR5TQxSRERE1O5pdQLRKUUQRl5rbItOKYJWZ6xH62GQIiIionYvu7jCYCbqegKAprIG2cUVbVcUGKSIiIjICpRVNx2izOnXUhikiIiIqN3r6qRs0X4thUGKiIiI2r0gtQs8VUo0tciBDNfu3gtSu7RlWQxSRERE1P7JbWRYP9EXAAzCVOPz9RN923w9KQYpIiIisgrj/DwRP6c/PFTS03ceKiXi5/S3yDpSXJCTiIiIrMY4P0+M9fXgyuZERERE5pDbyBDc09XSZQDgqT0iIiIiszFIEREREZmJQYqIiIjITAxSRERERGZikCIiIiIyE4MUERERkZkYpIiIiIjMxCBFREREZCYGKSIiIiIzMUgRERERmYlBioiIiMhMDFJEREREZmKQIiIiIjKTxYNUXFwc1Go1lEolAgICcOTIkZv2z8zMREBAAJRKJXx8fJCQkCB5fcSIEZDJZAaPsLAwo/uLiYmBTCbD8uXLJe2XL1/GkiVL0K1bNzg4OKBPnz6Ij4+/rWMlIiKijsWiQWrXrl1Yvnw51qxZg/z8fAwbNgzjx49HSUmJ0f7FxcWYMGEChg0bhvz8fKxevRpLly7Fnj179H327t0LjUajfxQWFkIul2PGjBkG+8vJycH27dvh7+9v8FpkZCTS0tKQlJSE06dPIzIyEs8//zw+//zzlhsAIiIismoWDVJvvfUW5s+fjwULFqBPnz7YsmULunfv3uTMT0JCAu69915s2bIFffr0wYIFCzBv3jy88cYb+j4uLi7w8PDQPzIyMtCpUyeDIHX58mXMnj0b7733Hu6++26D98rKykJ4eDhGjBiBHj164C9/+QseeughnDhxomUHgYiIiKyWxYJUXV0dcnNzERISImkPCQnBsWPHjG6TlZVl0D80NBQnTpxAfX290W0SExMxa9YsODo6StoXL16MsLAwjBkzxuh2Q4cOxYEDB3DhwgUIIXDo0CGcOXMGoaGhTR5TbW0tqqqqJA8iIiLquBSWeuPy8nJotVq4u7tL2t3d3VFaWmp0m9LSUqP9GxoaUF5eDk9PT8lr2dnZKCwsRGJioqQ9OTkZeXl5yMnJabK+2NhYLFy4EN26dYNCoYCNjQ3++c9/YujQoU1uExMTg+jo6CZfJyIioo7F4heby2QyyXMhhEHbrfobaweuzUb5+fkhKChI33b+/HksW7YMSUlJUCqVTb5PbGws/vOf/+DAgQPIzc3Fm2++ieeeew4HDx5scptVq1ahsrJS/zh//nyTfYmIiMj6WWxGys3NDXK53GD2qayszGDWqZGHh4fR/gqFAq6urpL2K1euIDk5GRs2bJC05+bmoqysDAEBAfo2rVaLb7/9Flu3bkVtbS3q6uqwevVq7Nu3T3+3n7+/PwoKCvDGG280eTrQ3t4e9vb2zRsAIiIisnoWm5Gys7NDQEAAMjIyJO0ZGRkYPHiw0W2Cg4MN+qenpyMwMBC2traS9t27d6O2thZz5syRtI8ePRqnTp1CQUGB/hEYGIjZs2ejoKAAcrkc9fX1qK+vh42NdHjkcjl0Op25h0xEREQdjMVmpAAgKioKc+fORWBgIIKDg7F9+3aUlJQgIiICwLVTZRcuXMCOHTsAABEREdi6dSuioqKwcOFCZGVlITExETt37jTYd2JiIqZMmWIwU+Xk5AQ/Pz9Jm6OjI1xdXfXtzs7OGD58OF588UU4ODjA29sbmZmZ2LFjB956663WGAoiIiKyQhYNUjNnzsSlS5ewYcMGaDQa+Pn5ITU1Fd7e3gAAjUYjWVNKrVYjNTUVkZGR2LZtG7y8vBAbG4tp06ZJ9nvmzBkcPXoU6enpZteWnJyMVatWYfbs2aioqIC3tzdeffVVfcgjIiLqCLQ6geziCpRV16CrkxJBahfIbZq+VpmkZKLxam1qcVVVVVCpVKisrISzs7OlyyEiIpJIK9QgOqUImsoafZunSon1E30xzs/zJlt2bKZ8f1v8rj0iIiJqe2mFGixKypOEKAAorazBoqQ8pBVqLFSZdWGQIiIiusNodQLRKUUwdkqqsS06pQhaHU9a3QqDFBER0R0mu7jCYCbqegKAprIG2cUVbVeUlWKQIiIiusOUVTcdoszpdydjkCIiIrrDdHVq+pc9zOl3J2OQIiIiusMEqV3gqVKiqUUOZLh2916Q2qUty7JKDFJERER3GLmNDOsn+gKAQZhqfL5+oi/Xk2oGBikiIqI70Dg/T8TP6Q8PlfT0nYdKifg5/e/odaRMYdGVzYmIiMhyxvl5YqyvB1c2vw0MUkRERHcwuY0MwT1db92RjOKpPSIiIiIzMUgRERERmYlBioiIiMhMDFJEREREZmKQIiIiIjITgxQRERGRmRikiIiIiMzEIEVERERkJgYpIiIiIjMxSBERERGZiUGKiIiIyEwMUkRERERmYpAiIiIiMhODFBEREZGZGKSIiIiIzMQgRURERGQmBikiIiIiMzFIEREREZmJQYqIiIjITAxSRERERGZikCIiIiIyk8LSBRAREXUUWp1AdnEFyqpr0NVJiSC1C+Q2MkuXRa2IQYqIiKgFpBVqEJ1SBE1ljb7NU6XE+om+GOfnacHKqDXx1B4REdFtSivUYFFSniREAUBpZQ0WJeUhrVBjocqotTFIERER3QatTiA6pQjCyGuNbdEpRdDqjPUga8cgRUREdBuyiysMZqKuJwBoKmuQXVzRdkVRm2GQIiIiug1l1U2HKHP6kXVhkCIiIroNXZ2ULdqPrAuDFBER0W0IUrvAU6VEU4scyHDt7r0gtUtblkVtxOJBKi4uDmq1GkqlEgEBAThy5MhN+2dmZiIgIABKpRI+Pj5ISEiQvD5ixAjIZDKDR1hYmNH9xcTEQCaTYfny5QavnT59GpMmTYJKpYKTkxMGDRqEkpISs4+ViIg6HrmNDOsn+gKAQZhqfL5+oi/Xk+qgLBqkdu3aheXLl2PNmjXIz8/HsGHDMH78+CbDSnFxMSZMmIBhw4YhPz8fq1evxtKlS7Fnzx59n71790Kj0egfhYWFkMvlmDFjhsH+cnJysH37dvj7+xu8dvbsWQwdOhS9e/fG4cOHcfLkSaxduxZKJadmiYhIapyfJ+Ln9IeHSvod4aFSIn5Of64j1YHJhBAWux9z4MCB6N+/P+Lj4/Vtffr0wZQpUxATE2PQf8WKFThw4ABOnz6tb4uIiMDJkyeRlZVl9D22bNmCdevWQaPRwNHRUd9++fJl9O/fH3FxcXjllVfQr18/bNmyRf/6rFmzYGtri48++sjs46uqqoJKpUJlZSWcnZ3N3g8REVkHrmzeMZjy/W2xGam6ujrk5uYiJCRE0h4SEoJjx44Z3SYrK8ugf2hoKE6cOIH6+nqj2yQmJmLWrFmSEAUAixcvRlhYGMaMGWOwjU6nw5dffon7778foaGh6Nq1KwYOHIj9+/ebcIRERHSnkdvIENzTFZP73YPgnq4MUXcAiwWp8vJyaLVauLu7S9rd3d1RWlpqdJvS0lKj/RsaGlBeXm7QPzs7G4WFhViwYIGkPTk5GXl5eUZnvQCgrKwMly9fxqZNmzBu3Dikp6dj6tSpeOyxx5CZmdnkMdXW1qKqqkryICIioo7L4r+1J5NJ07oQwqDtVv2NtQPXZqP8/PwQFBSkbzt//jyWLVuG9PT0Jq930ul0AIDJkycjMjISANCvXz8cO3YMCQkJGD58uNHtYmJiEB0d3WTtRERE1LFYbEbKzc0NcrncYPaprKzMYNapkYeHh9H+CoUCrq6ukvYrV64gOTnZYDYqNzcXZWVlCAgIgEKhgEKhQGZmJmJjY6FQKKDVauHm5gaFQgFfX1/Jtn369LnpXXurVq1CZWWl/nH+/PlbjgMRERFZL4vNSNnZ2SEgIAAZGRmYOnWqvj0jIwOTJ082uk1wcDBSUlIkbenp6QgMDIStra2kfffu3aitrcWcOXMk7aNHj8apU6ckbc888wx69+6NFStWQC6XQy6XY8CAAfjxxx8l/c6cOQNvb+8mj8ne3h729vZNHzQRERF1KBY9tRcVFYW5c+ciMDAQwcHB2L59O0pKShAREQHg2gzPhQsXsGPHDgDX7tDbunUroqKisHDhQmRlZSExMRE7d+402HdiYiKmTJliMFPl5OQEPz8/SZujoyNcXV0l7S+++CJmzpyJRx55BCNHjkRaWhpSUlJw+PDhFh4FIiIislYWDVIzZ87EpUuXsGHDBmg0Gvj5+SE1NVU/66PRaCSn0tRqNVJTUxEZGYlt27bBy8sLsbGxmDZtmmS/Z86cwdGjR5Genm52bVOnTkVCQgJiYmKwdOlSPPDAA9izZw+GDh1q9j6JiIioY7HoOlIdHdeRIiIisj5WsY4UERERkbVjkCIiIiIyE4MUERERkZkYpIiIiIjMxCBFREREZCYGKSIiIiIzMUgRERERmYlBioiIiMhMDFJEREREZmKQIiIiIjITgxQRERGRmRikiIiIiMzEIEVERERkJgYpIiIiIjMxSBERERGZSWHpAoiIiIzR6gSyiytQVl2Drk5KBKldILeRWbosIgkGKSIianfSCjWITimCprJG3+apUmL9RF+M8/O0YGVEUjy1R0RE7UpaoQaLkvIkIQoASitrsCgpD2mFGgtVRmSIQYqIiNoNrU4gOqUIwshrjW3RKUXQ6oz1IGp7DFJERNRuZBdXGMxEXU8A0FTWILu4ou2KIroJBikiImo3yqqbDlHm9CNqbQxSRETUbnR1UrZoP6LWxiBFRETtRpDaBZ4qJZpa5ECGa3fvBald2rIsoiYxSBERUbsht5Fh/URfADAIU43P10/05XpS1G4wSBERUbsyzs8T8XP6w0MlPX3noVIifk5/riNF7QoX5CQionZnnJ8nxvp6cGVzavcYpIiIqF2S28gQ3NPV0mUQ3RRP7RERERGZiUGKiIiIyEwMUkRERERmYpAiIiIiMhODFBEREZGZGKSIiIiIzMQgRURERGQms9aRqq+vR2lpKa5cuYIuXbrAxYW/eURERER3nmbPSF2+fBnvvvsuRowYAZVKhR49esDX1xddunSBt7c3Fi5ciJycnNaslYiIiKhdaVaQ+sc//oEePXrgvffew6hRo7B3714UFBTgxx9/RFZWFtavX4+GhgaMHTsW48aNw08//dTadRMRERFZnEwIIW7VacaMGVi3bh369u170361tbVITEyEnZ0dFixY0GJFWquqqiqoVCpUVlbC2dnZ0uUQERFRM5jy/d2sIEXmYZAiIiKyPqZ8f1v8rr24uDio1WoolUoEBATgyJEjN+2fmZmJgIAAKJVK+Pj4ICEhQfL6iBEjIJPJDB5hYWFG9xcTEwOZTIbly5c3+Z7PPvssZDIZtmzZYurhERERUQdmUpDKyMjA+vXr8c033wAAvv32W4wfPx6jRo3CBx98YPKb79q1C8uXL8eaNWuQn5+PYcOGYfz48SgpKTHav7i4GBMmTMCwYcOQn5+P1atXY+nSpdizZ4++z969e6HRaPSPwsJCyOVyzJgxw2B/OTk52L59O/z9/Zuscf/+/Th+/Di8vLxMPj4iIiLq2JodpJKSkjBhwgR88cUXmDx5Mv71r39h8uTJ6NatG3x8fBAREYHPPvvMpDd/6623MH/+fCxYsAB9+vTBli1b0L17d8THxxvtn5CQgHvvvRdbtmxBnz59sGDBAsybNw9vvPGGvo+Liws8PDz0j4yMDHTq1MkgSF2+fBmzZ8/Ge++9h7vvvtvo+124cAFLlizBxx9/DFtbW5OOjYiIiDq+ZgepN998E2+++SZyc3Oxf/9+PPfcc1i3bh3ee+89/POf/0RMTIxJp77q6uqQm5uLkJAQSXtISAiOHTtmdJusrCyD/qGhoThx4gTq6+uNbpOYmIhZs2bB0dFR0r548WKEhYVhzJgxRrfT6XSYO3cuXnzxRTz44IPNPSwiIiK6gzQ7SP3000+YOHEiAGD06NFoaGjA6NGj9a+HhYXh//2//9fsNy4vL4dWq4W7u7uk3d3dHaWlpUa3KS0tNdq/oaEB5eXlBv2zs7NRWFhocAdhcnIy8vLyEBMT02R9r732GhQKBZYuXdrcQ0JtbS2qqqokDyIiIuq4mr2yua2tLerq6vTP7e3t0blzZ/1zOzs7XL161eQCZDKZ5LkQwqDtVv2NtQPXZqP8/PwQFBSkbzt//jyWLVuG9PR0KJVKo++Rm5uLt99+G3l5eTet5UYxMTGIjo5udn8iIiKybs2ekerVq5dkxunChQtQq9X652fPnkW3bt2a/cZubm6Qy+UGs09lZWUGs06NPDw8jPZXKBRwdXWVtF+5cgXJyckGs1G5ubkoKytDQEAAFAoFFAoFMjMzERsbC4VCAa1WiyNHjqCsrAz33nuvvs+5c+fwwgsvoEePHk0e06pVq1BZWal/nD9/vtnjQURERNan2TNSq1evllyUfeO6CidOnMDjjz/e7De2s7NDQEAAMjIyMHXqVH17RkYGJk+ebHSb4OBgpKSkSNrS09MRGBhocDH47t27UVtbizlz5kjaR48ejVOnTknannnmGfTu3RsrVqyAXC7H3LlzDa6dCg0Nxdy5c/HMM880eUz29vawt7dv+qCJiIioQ2l2kLo+7BizcuVKk988KioKc+fORWBgIIKDg7F9+3aUlJQgIiICwLUZngsXLmDHjh0AgIiICGzduhVRUVFYuHAhsrKykJiYiJ07dxrsOzExEVOmTDGYqXJycoKfn5+kzdHREa6urvp2V1dXg+1sbW3h4eGBBx54wOTjJCIioo6p2UGqNcycOROXLl3Chg0boNFo4Ofnh9TUVHh7ewMANBqNZE0ptVqN1NRUREZGYtu2bfDy8kJsbCymTZsm2e+ZM2dw9OhRpKent+nxEBER0Z3F5J+IOXr0KIYOHdpa9XQo/IkYImovtDqB7OIKlFXXoKuTEkFqF8htmn8zDdGdxJTvb5NmpL744gvMmzcPZWVlt1UgERG1nbRCDaJTiqCprNG3eaqUWD/RF+P8PC1YGZH1a/Zdex999BGefPJJfPLJJ61ZDxERtaC0Qg0WJeVJQhQAlFbWYFFSHtIKNRaqjKhjaFaQ2rJlC/7yl7/g448/bnIlcCIial+0OoHolCIYu36jsS06pQhanUlXeBDRdZoVpKKiovDGG2/oVzYnIqL2L7u4wmAm6noCgKayBtnFFW1XFFEH06wgNXjwYGzbtg2XLl1q7XqIiKiFlFU3HaLM6UdEhpoVpA4ePAi1Wo2xY8fy9+OIiKxEVyfjP4Nlbj8iMtSsIKVUKnHgwAH4+voiNDS0tWsiIqIWEKR2gadKiaYWOZDh2t17QWqXtiyLqENp9l17crkcSUlJkh8AJiKi9ktuI8P6ib4AYBCmGp+vn+jL9aSIbkOzg1Sjt99+uzXqICKiVjDOzxPxc/rDQyU9feehUiJ+Tn+uI0V0myz6EzFERNT6xvl5YqyvB1c2J2oFZgWpmpoafP/99ygrK4NOp5O8NmnSpBYpjIiIWo7cRobgnq637khEJjE5SKWlpeGpp55CeXm5wWsymQxarbZFCiMiIiJq70y+RmrJkiWYMWMGNBoNdDqd5MEQRURERHcSk4NUWVkZoqKi4O7u3hr1EBEREVkNk4PU9OnTcfjw4VYohYiIiMi6yIQQJv1a5ZUrVzBjxgx06dIFffv2ha2treT1pUuXtmiB1qyqqgoqlQqVlZVwdna2dDlERETUDKZ8f5t8sfknn3yCf//733BwcMDhw4chk/3f7bMymYxBioiIiO4YJgepv/3tb9iwYQNWrlwJGxuTzwwSERERdRgmJ6G6ujrMnDmTIYqIiIjueCanofDwcOzatas1aiEiIiKyKiaf2tNqtXj99dfx73//G/7+/gYXm7/11lstVhwRERFRe2ZykDp16hQefvhhAEBhYaHktesvPCciIiLq6EwOUocOHWqNOoiIiIisjsnXSFVWVqKiosKgvaKiAlVVVS1SFBEREZE1MDlIzZo1C8nJyQbtu3fvxqxZs1qkKCIiIiJrYHKQOn78OEaOHGnQPmLECBw/frxFiiIiIiKyBiYHqdraWjQ0NBi019fX4+rVqy1SFBEREZE1MDlIDRgwANu3bzdoT0hIQEBAQIsURURERGQNTL5r79VXX8WYMWNw8uRJjB49GgDw9ddfIycnB+np6S1eIBEREVF7ZfKM1JAhQ5CVlYXu3btj9+7dSElJQa9evfD9999j2LBhrVEjERERUbskE0IISxfRUVVVVUGlUqGyshLOzs6WLoeIiIiawZTv72bNSP35558mFWBqfyIiIiJr1Kwg1atXL2zcuBEXL15sso8QAhkZGRg/fjxiY2NbrEAiovZGqxPIOnsJnxdcQNbZS9DqOLFPdKdq1sXmhw8fxt/+9jdER0ejX79+CAwMhJeXF5RKJX7//XcUFRUhKysLtra2WLVqFf7yl7+0dt1ERBaRVqhBdEoRNJU1+jZPlRLrJ/pinJ+nBSsjIksw6RqpX375BZ9++im+/fZb/Pzzz7h69Src3Nzw8MMPIzQ0FBMmTICNjcnXr3dYvEaKqGNJK9RgUVIebvxHs/Hn2uPn9GeYIuoATPn+5sXmrYhBiqjj0OoEhr72jWQm6noyAB4qJY6uGAW5jcxoHyKyDi1+sTkR0Z0uu7iiyRAFAAKAprIG2cWGP+pORB0XgxQRUTOUVTcdoszpR0QdA4MUEVEzdHVStmg/IuoYLB6k4uLioFaroVQqERAQgCNHjty0f2ZmJgICAqBUKuHj44OEhATJ6yNGjIBMJjN4hIWFGd1fTEwMZDIZli9frm+rr6/HihUr0LdvXzg6OsLLywtPPfXUTZd/IKKOLUjtAk+VEk1d/STDtbv3gtQubVkWEVmYRYPUrl27sHz5cqxZswb5+fkYNmwYxo8fj5KSEqP9i4uLMWHCBAwbNgz5+flYvXo1li5dij179uj77N27FxqNRv8oLCyEXC7HjBkzDPaXk5OD7du3w9/fX9J+5coV5OXlYe3atcjLy8PevXtx5swZTJo0qWUHgIishtxGhvUTfQHAIEw1Pl8/0ZcXmhPdYcy6a+/IkSN49913cfbsWXz22We455578NFHH0GtVmPo0KHN3s/AgQPRv39/xMfH69v69OmDKVOmICYmxqD/ihUrcODAAZw+fVrfFhERgZMnTyIrK8voe2zZsgXr1q2DRqOBo6Ojvv3y5cvo378/4uLi8Morr6Bfv37YsmVLk7Xm5OQgKCgI586dw7333tus4+Nde0QdD9eRIur4WvWuvT179iA0NBQODg7Iz89HbW0tAKC6uhobN25s9n7q6uqQm5uLkJAQSXtISAiOHTtmdJusrCyD/qGhoThx4gTq6+uNbpOYmIhZs2ZJQhQALF68GGFhYRgzZkyz6q2srIRMJsNdd93VrP5E1DGN8/PE0RWjsHPhILw9qx92LhyEoytGMUQR3aGatbL59V555RUkJCTgqaeeQnJysr598ODB2LBhQ7P3U15eDq1WC3d3d0m7u7s7SktLjW5TWlpqtH9DQwPKy8vh6Sn9hyw7OxuFhYVITEyUtCcnJyMvLw85OTnNqrWmpgYrV67Ek08+edNkWltbqw+WwLVES0Qdj9xGhuCerpYug4jaAZNnpH788Uc88sgjBu3Ozs74448/TC5AJpNeTyCEMGi7VX9j7cC12Sg/Pz8EBQXp286fP49ly5YhKSkJSuWt766pr6/HrFmzoNPpEBcXd9O+MTExUKlU+kf37t1vuX8iIiKyXiYHKU9PT/z3v/81aD969Ch8fHyavR83NzfI5XKD2aeysjKDWadGHh4eRvsrFAq4ukr/6/DKlStITk7GggULJO25ubkoKytDQEAAFAoFFAoFMjMzERsbC4VCAa1Wq+9bX1+Pxx9/HMXFxcjIyLjledJVq1ahsrJS/zh//vwtx4GIiIisl8lB6tlnn8WyZctw/PhxyGQyXLx4ER9//DH++te/4rnnnmv2fuzs7BAQEICMjAxJe0ZGBgYPHmx0m+DgYIP+6enpCAwMhK2traR99+7dqK2txZw5cyTto0ePxqlTp1BQUKB/BAYGYvbs2SgoKIBcLgfwfyHqp59+wsGDBw2CmjH29vZwdnaWPIiIiKjjMvkaqZdeegmVlZUYOXIkampq8Mgjj8De3h5//etfsWTJEpP2FRUVhblz5yIwMBDBwcHYvn07SkpKEBERAeDaDM+FCxewY8cOANfu0Nu6dSuioqKwcOFCZGVlITExETt37jTYd2JiIqZMmWIQgJycnODn5ydpc3R0hKurq769oaEB06dPR15eHr744gtotVr9TJiLiwvs7OxMOk4iIiLqmEwOUgDw6quvYs2aNSgqKoJOp4Ovry86d+5s8n5mzpyJS5cuYcOGDdBoNPDz80Nqaiq8vb0BABqNRrKmlFqtRmpqKiIjI7Ft2zZ4eXkhNjYW06ZNk+z3zJkzOHr0KNLT0805PPzyyy84cOAAAKBfv36S1w4dOoQRI0aYtV8iIiLqWMxaR4qah+tIERERWR9Tvr9NnpGqqanBO++8g0OHDqGsrAw6nU7yel5enqm7JCIiIrJKJgepefPmISMjA9OnT0dQUNBNlyogIiIi6shMDlJffvklUlNTMWTIkNaoh4iIiMhqmLz8wT333AMnJ6fWqIWIiIjIqpgcpN58802sWLEC586da416iIiIiKyGyaf2AgMDUVNTAx8fH3Tq1MlgIcyKiooWK46IiIioPTM5SD3xxBO4cOECNm7cCHd3d15sTkRERHcsk4PUsWPHkJWVhYceeqg16iEiIiKyGiZfI9W7d29cvXq1NWohIiIisiomB6lNmzbhhRdewOHDh3Hp0iVUVVVJHkRERER3CpN/IsbG5lr2uvHaKCEEZDIZtFpty1Vn5fgTMURERNanVX8i5tChQ2YXRkRERNSRmBykhg8f3hp1EBEREVkdk4PUt99+e9PXH3nkEbOLISIiIrImJgepESNGGLRdf70Ur5EiIiKiO4XJd+39/vvvkkdZWRnS0tIwYMAApKent0aNRERERO2SyTNSKpXKoG3s2LGwt7dHZGQkcnNzW6QwIrozaHUC2cUVKKuuQVcnJYLULpDb8BcTiMg6mBykmtKlSxf8+OOPLbU7IroDpBVqEJ1SBE1ljb7NU6XE+om+GOfnacHKiIiax+Qg9f3330ueCyGg0WiwadMm/mwMETVbWqEGi5LycONCdqWVNViUlIf4Of0Zpoio3TM5SPXr1w8ymQw3ruM5aNAgvP/++y1WGBF1XFqdQHRKkUGIAgABQAYgOqUIY309eJqPiNo1k4NUcXGx5LmNjQ26dOkCpVLZYkURUceWXVwhOZ13IwFAU1mD7OIKBPd0bbvCiIhMZHKQ8vb2bo06iOgOUlbddIgypx8RkaU0K0jFxsY2e4dLly41uxgiujN0dWreDHZz+xERWUqzgtQ//vGPZu1MJpMxSBHRLQWpXeCpUqK0ssbodVIyAB6qa0shEBG1Z80KUjdeF0VEdDvkNjKsn+iLRUl5kAGSMNV4afn6ib680JyI2j2TVza/nhDC4O49IqLmGOfnifg5/eGhkp6+81ApufQBEVkNsxbk3LFjBzZv3oyffvoJAHD//ffjxRdfxNy5c1u0OCLq2Mb5eWKsrwdXNiciq2VykHrrrbewdu1aLFmyBEOGDIEQAt999x0iIiJQXl6OyMjI1qiTiDoouY2MSxwQkdWSCRPPzanVakRHR+Opp56StH/44Yd4+eWXeT3VdaqqqqBSqVBZWQlnZ2dLl0NERETNYMr3t8nXSGk0GgwePNigffDgwdBoNKbujoiIiMhqmRykevXqhd27dxu079q1C/fdd1+LFEVERERkDUy+Rio6OhozZ87Et99+iyFDhkAmk+Ho0aP4+uuvjQYsIiIioo6q2TNSBQUFAIBp06bh+PHjcHNzw/79+7F37164ubkhOzsbU6dOba06iYiIiNqdZl9sbmNjg4cffhgLFizAk08+CZVK1dq1WT1ebE5ERGR9WuVi8++++w79+/fHypUr4enpiblz5+LQoUO3XSwRERGRtWp2kAoODsZ7772H0tJSxMfH4/z58xgzZgx69uyJV199Fb/88ktr1klERETU7ph8156DgwPCw8Nx+PBhnDlzBk888QTeffddqNVqTJgwoTVqJCIiImqXTF6Q80aXL1/Gxx9/jNWrV+OPP/6AVqttqdqsHq+RIiIisj6mfH+b9Vt7AJCZmYn3338fe/bsgVwux+OPP4758+ebuzsiIiIiq2PSqb3z58/j73//O3r27ImRI0fi7NmzeOedd3Dx4kW89957GDRokMkFxMXFQa1WQ6lUIiAgAEeOHLlp/8zMTAQEBECpVMLHxwcJCQmS10eMGAGZTGbwCAsLM7q/mJgYyGQyLF++XNIuhMDLL78MLy8vODg4YMSIEfjhhx9MPj4iIiLquJodpMaOHQu1Wo24uDhMnz4dp0+fxtGjR/HMM8/A0dHRrDfftWsXli9fjjVr1iA/Px/Dhg3D+PHjUVJSYrR/cXExJkyYgGHDhiE/Px+rV6/G0qVLsWfPHn2fvXv3QqPR6B+FhYWQy+WYMWOGwf5ycnKwfft2+Pv7G7z2+uuv46233sLWrVuRk5MDDw8PjB07FtXV1WYdKxEREXVAopkmTpwo9u/fLxoaGpq7yS0FBQWJiIgISVvv3r3FypUrjfZ/6aWXRO/evSVtzz77rBg0aFCT7/GPf/xDODk5icuXL0vaq6urxX333ScyMjLE8OHDxbJly/Sv6XQ64eHhITZt2qRvq6mpESqVSiQkJDT38ERlZaUAICorK5u9DREREVmWKd/fzZ6ROnDgACZPngy5XN4iAa6urg65ubkICQmRtIeEhODYsWNGt8nKyjLoHxoaihMnTqC+vt7oNomJiZg1a5bBrNnixYsRFhaGMWPGGGxTXFyM0tJSyXvZ29tj+PDhTdZGREREdx6zLza/XeXl5dBqtXB3d5e0u7u7o7S01Og2paWlRvs3NDSgvLwcnp6ekteys7NRWFiIxMRESXtycjLy8vKQk5PT5Ps07vvG9zp37lyTx1RbW4va2lr986qqqib7EhERkfUzeR2pliaTySTPhRAGbbfqb6wduDYb5efnh6CgIH3b+fPnsWzZMiQlJUGpVLZobTExMVCpVPpH9+7db7p/IiIism4WC1Jubm6Qy+UGs09lZWUGM0GNPDw8jPZXKBRwdXWVtF+5cgXJyclYsGCBpD03NxdlZWUICAiAQqGAQqFAZmYmYmNjoVAooNVq4eHhAQAm1QYAq1atQmVlpf5x/vz5mw8CERERWTWLBSk7OzsEBAQgIyND0p6RkYHBgwcb3SY4ONigf3p6OgIDA2Fraytp3717N2prazFnzhxJ++jRo3Hq1CkUFBToH4GBgZg9ezYKCgogl8uhVqvh4eEhea+6ujpkZmY2WRtw7ToqZ2dnyYOIiIg6LotdIwUAUVFRmDt3LgIDAxEcHIzt27ejpKQEERERAK7N8Fy4cAE7duwAAERERGDr1q2IiorCwoULkZWVhcTEROzcudNg34mJiZgyZYrBTJWTkxP8/PwkbY6OjnB1ddW3N64rtXHjRtx333247777sHHjRnTq1AlPPvlkawwFERERWSGLBqmZM2fi0qVL2LBhAzQaDfz8/JCamgpvb28AgEajkawppVarkZqaisjISGzbtg1eXl6IjY3FtGnTJPs9c+YMjh49ivT0dLNre+mll3D16lU899xz+P333zFw4ECkp6fDycnJ7H0SERFRx3Lbv7VHTeNv7VFb0+oEsosrUFZdg65OSgSpXSC3afoGCSIiMtQmv7VHRO1LWqEG0SlF0FTW6Ns8VUqsn+iLcX6eN9mSiIjMZfHlD4jo9qUVarAoKU8SogCgtLIGi5LykFaosVBlREQdG4MUkZXT6gSiU4pg7Bx9Y1t0ShG0Op7FJyJqaQxSRFYuu7jCYCbqegKAprIG2cUVbVcUEdEdgkGKyMqVVTcdoszpR0REzccgRWTlujrd/KeOTO1HRETNxyBFZOWC1C7wVCnR1CIHMly7ey9I7dKWZRER3REYpIisnNxGhvUTfQHAIEw1Pl8/0ZfrSRERtQIGKaIOYJyfJ+Ln9IeHSnr6zkOlRPyc/lxHioiolXBBTqIOYpyfJ8b6enBlcyKiNsQgRdSByG1kCO7peuuORETUInhqj4iIiMhMDFJEREREZmKQIiIiIjITgxQRERGRmRikiIiIiMzEIEVERERkJgYpIiIiIjMxSBERERGZiUGKiIiIyEwMUkRERERmYpAiIiIiMhODFBEREZGZGKSIiIiIzMQgRURERGQmBikiIiIiMzFIEREREZmJQYqIiIjITAxSRERERGZikCIiIiIyE4MUERERkZkYpIiIiIjMxCBFREREZCaFpQsgaq+0OoHs4gqUVdegq5MSQWoXyG1kli6LiIjaEQYpIiPSCjWITimCprJG3+apUmL9RF+M8/O0YGVERNSe8NQe0Q3SCjVYlJQnCVEAUFpZg0VJeUgr1FioMiIiam8YpIiuo9UJRKcUQRh5rbEtOqUIWp2xHkREdKdhkCK6TnZxhcFM1PUEAE1lDbKLK9quKCIiarcYpIiuU1bddIgypx8REXVsDFJE1+nqpGzRfkRE1LFZPEjFxcVBrVZDqVQiICAAR44cuWn/zMxMBAQEQKlUwsfHBwkJCZLXR4wYAZlMZvAICwvT94mPj4e/vz+cnZ3h7OyM4OBgfPXVV5L9XL58GUuWLEG3bt3g4OCAPn36ID4+vuUOnNqlILULPFVKNLXIgQzX7t4LUru0ZVlERNROWTRI7dq1C8uXL8eaNWuQn5+PYcOGYfz48SgpKTHav7i4GBMmTMCwYcOQn5+P1atXY+nSpdizZ4++z969e6HRaPSPwsJCyOVyzJgxQ9+nW7du2LRpE06cOIETJ05g1KhRmDx5Mn744Qd9n8jISKSlpSEpKQmnT59GZGQknn/+eXz++eetNyBkcXIbGdZP9AUAgzDV+Hz9RF+uJ0VERAAAmRDCYrcfDRw4EP3795fM9PTp0wdTpkxBTEyMQf8VK1bgwIEDOH36tL4tIiICJ0+eRFZWltH32LJlC9atWweNRgNHR8cma3FxccHmzZsxf/58AICfnx9mzpyJtWvX6vsEBARgwoQJ+Pvf/96s46uqqoJKpUJlZSWcnZ2btQ21D1xHiojozmXK97fFFuSsq6tDbm4uVq5cKWkPCQnBsWPHjG6TlZWFkJAQSVtoaCgSExNRX18PW1tbg20SExMxa9asJkOUVqvFp59+ij///BPBwcH69qFDh+LAgQOYN28evLy8cPjwYZw5cwZvv/12k8dUW1uL2tpa/fOqqqom+1L7Ns7PE2N9PbiyORER3ZTFglR5eTm0Wi3c3d0l7e7u7igtLTW6TWlpqdH+DQ0NKC8vh6endKYgOzsbhYWFSExMNNjXqVOnEBwcjJqaGnTu3Bn79u2Dr6+v/vXY2FgsXLgQ3bp1g0KhgI2NDf75z39i6NChTR5TTEwMoqOjb3nsZB3kNjIE93S1dBlERNSOWfxic5lM+l/4QgiDtlv1N9YOXJuN8vPzQ1BQkMFrDzzwAAoKCvCf//wHixYtQnh4OIqKivSvx8bG4j//+Q8OHDiA3NxcvPnmm3juuedw8ODBJmtbtWoVKisr9Y/z58832ZeIiIisn8VmpNzc3CCXyw1mn8rKygxmnRp5eHgY7a9QKODqKp05uHLlCpKTk7Fhwwaj+7Kzs0OvXr0AAIGBgcjJycHbb7+Nd999F1evXsXq1auxb98+/d1+/v7+KCgowBtvvIExY8YY3ae9vT3s7e1vffBERETUIVhsRsrOzg4BAQHIyMiQtGdkZGDw4MFGtwkODjbon56ejsDAQIPro3bv3o3a2lrMmTOnWfUIIfTXN9XX16O+vh42NtLhkcvl0Ol0zdofERERdXwWm5ECgKioKMydOxeBgYEIDg7G9u3bUVJSgoiICADXTpVduHABO3bsAHDtDr2tW7ciKioKCxcuRFZWFhITE7Fz506DfScmJmLKlCkGM1UAsHr1aowfPx7du3dHdXU1kpOTcfjwYaSlpQEAnJ2dMXz4cLz44otwcHCAt7c3MjMzsWPHDrz11lutOCJERERkTSwapGbOnIlLly5hw4YN0Gg08PPzQ2pqKry9vQEAGo1GsqaUWq1GamoqIiMjsW3bNnh5eSE2NhbTpk2T7PfMmTM4evQo0tPTjb7vr7/+irlz50Kj0UClUsHf3x9paWkYO3asvk9ycjJWrVqF2bNno6KiAt7e3nj11Vf1IY+IiIjIoutIdXRcR4qIiMj6mPL9bfG79oiIiIisFYMUERERkZkYpIiIiIjMxCBFREREZCYGKSIiIiIzMUgRERERmYlBioiIiMhMDFJEREREZmKQIiIiIjITgxQRERGRmRikiIiIiMzEIEVERERkJgYpIiIiIjMxSBERERGZiUGKiIiIyEwMUkRERERmUli6ALozaHUC2cUVKKuuQVcnJYLULpDbyCxdFhER0W1hkKJWl1aoQXRKETSVNfo2T5US6yf6YpyfpwUrIyIiuj08tUetKq1Qg0VJeZIQBQCllTVYlJSHtEKNhSojIiK6fQxS1OK0OoGss5ewL+8XrN5XCGGkT2NbdEoRtDpjPYiIiNo/ntqjFmXsNF5TBABNZQ2yiysQ3NO19YsjIiJqYQxS1GIaT+OZOr9UVn3r0EVERNQeMUjRbdPqBP5z9hJW7jllcogCgK5OyhaviYiIqC0wSNFtMeVU3o1kADxU15ZCICIiskYMUmQ2c0/lAddCFACsn+jL9aSIiMhqMUiRSRoX1iytvIq/f3narBAFXJuJ4jpSRERk7RikqNlu5zQeALg42mLtow/Cw5krmxMRUcfAIEXN0hKn8TZO7csZKCIi6lAYpOiWtDqB6JQinsYjIiK6AYMU3ZRWJ/Cv74rNOp13l4Mtts3uj0E+rjyNR0REHRKDFDXJ3GuiGiPTpml9MaSXW8sXRkRE1E4wSJFRt3NNFE/lERHRnYJBivRuZ2kD3pFHRER3IgYpAnD7p/F4Rx4REd2JGKSIp/GIiIjMxCB1h7udpQ3WhvXB00PUPI1HRER3LAapO5i5Sxs0/tgwQxQREd3pGKTuULd7TRR/bJiIiIhB6o7Ea6KIiIhaho2lC4iLi4NarYZSqURAQACOHDly0/6ZmZkICAiAUqmEj48PEhISJK+PGDECMpnM4BEWFqbvEx8fD39/fzg7O8PZ2RnBwcH46quvDN7r9OnTmDRpElQqFZycnDBo0CCUlJS0zIG3Ma1OIOvsJezL+wWr9xWavLTBP2b2w86Fg3B0xSiGKCIiov+fRWekdu3aheXLlyMuLg5DhgzBu+++i/Hjx6OoqAj33nuvQf/i4mJMmDABCxcuRFJSEr777js899xz6NKlC6ZNmwYA2Lt3L+rq6vTbXLp0CQ899BBmzJihb+vWrRs2bdqEXr16AQA+/PBDTJ48Gfn5+XjwwQcBAGfPnsXQoUMxf/58REdHQ6VS4fTp01Aqla05JK2CSxsQERG1DpkQwtzfor1tAwcORP/+/REfH69v69OnD6ZMmYKYmBiD/itWrMCBAwdw+vRpfVtERAROnjyJrKwso++xZcsWrFu3DhqNBo6Ojk3W4uLigs2bN2P+/PkAgFmzZsHW1hYfffSRuYeHqqoqqFQqVFZWwtnZ2ez93I7bOY3nydN4RER0BzLl+9tip/bq6uqQm5uLkJAQSXtISAiOHTtmdJusrCyD/qGhoThx4gTq6+uNbpOYmIhZs2Y1GaK0Wi2Sk5Px559/Ijg4GACg0+nw5Zdf4v7770doaCi6du2KgQMHYv/+/Tc9ptraWlRVVUkelqLVCXz3UzlW7jll9tIGPI1HRER0cxYLUuXl5dBqtXB3d5e0u7u7o7S01Og2paWlRvs3NDSgvLzcoH92djYKCwuxYMECg9dOnTqFzp07w97eHhEREdi3bx98fX0BAGVlZbh8+TI2bdqEcePGIT09HVOnTsVjjz2GzMzMJo8pJiYGKpVK/+jevfstx6E1pBVqMPS1bzA78Tj+uGo8YDZFhmszUVzagIiI6NYsfteeTCb9shZCGLTdqr+xduDabJSfnx+CgoIMXnvggQdQUFCAP/74A3v27EF4eDgyMzPh6+sLnU4HAJg8eTIiIyMBAP369cOxY8eQkJCA4cOHG61t1apViIqK0j+vqqpq8zB1O6fyuLQBERGRaSwWpNzc3CCXyw1mn8rKygxmnRp5eHgY7a9QKODq6ippv3LlCpKTk7Fhwwaj+7Kzs9NfbB4YGIicnBy8/fbbePfdd+Hm5gaFQqGfoWrUp08fHD16tMljsre3h729fZOvt7bbWaUc4NIGREREprJYkLKzs0NAQAAyMjIwdepUfXtGRgYmT55sdJvg4GCkpKRI2tLT0xEYGAhbW1tJ++7du1FbW4s5c+Y0qx4hBGpra/W1DRgwAD/++KOkz5kzZ+Dt7d2s/bUlrU4gu7gC3/33N5PvzHNxtMXaRx+Eh7MSQWoXzkQRERGZwKKn9qKiojB37lwEBgYiODgY27dvR0lJCSIiIgBcO1V24cIF7NixA8C1O/S2bt2KqKgoLFy4EFlZWUhMTMTOnTsN9p2YmIgpU6YYzFQBwOrVqzF+/Hh0794d1dXVSE5OxuHDh5GWlqbv8+KLL2LmzJl45JFHMHLkSKSlpSElJQWHDx9uncEwE5c2ICIishyLBqmZM2fi0qVL2LBhAzQaDfz8/JCamqqf9dFoNJIFMNVqNVJTUxEZGYlt27bBy8sLsbGx+jWkGp05cwZHjx5Fenq60ff99ddfMXfuXGg0GqhUKvj7+yMtLQ1jx47V95k6dSoSEhIQExODpUuX4oEHHsCePXswdOjQVhgJ83CFciIiIsuy6DpSHV1rrSOl1Qn85+wlLP4kz+S78u5ysMW22f0xyMeVp/GIiIiMMOX72+J37ZFpbvdU3qZpfTGkl1vLF0ZERHQHYpCyIjyVR0RE1L4wSFkJc5c2WDKyF4b0cuMdeURERK2AQcpKZBdXmHQ6T4Zrs1CRY+9ngCIiImolFvuJGDJNWbVpIQrgCuVEREStjTNSVqKrk7LZfXk9FBERUdtgkLISQWoXeKqUKK2safI6KS5tQERE1LZ4as9KyG1kWD/x2m//3RiRZP//o3FpA4YoIiKitsEgZUXG+Xkifk5/eKikp/k8VErEz+nPU3lERERtjKf2rMw4P0+M9fVAdnEFyqpr0NWJPzZMRERkKQxSVkhuI0NwT8MfYyYiIqK2xVN7RERERGZikCIiIiIyE4MUERERkZkYpIiIiIjMxCBFREREZCYGKSIiIiIzMUgRERERmYlBioiIiMhMDFJEREREZuLK5q1ICAEAqKqqsnAlRERE1FyN39uN3+M3wyDViqqrqwEA3bt3t3AlREREZKrq6mqoVKqb9pGJ5sQtMotOp8PFixfh5OQEmaxlf1S4qqoK3bt3x/nz5+Hs7Nyi+6b/w3FuGxzntsFxbhsc57bRmuMshEB1dTW8vLxgY3Pzq6A4I9WKbGxs0K1bt1Z9D2dnZ/4ftQ1wnNsGx7ltcJzbBse5bbTWON9qJqoRLzYnIiIiMhODFBEREZGZGKSslL29PdavXw97e3tLl9KhcZzbBse5bXCc2wbHuW20l3HmxeZEREREZuKMFBEREZGZGKSIiIiIzMQgRURERGQmBikiIiIiMzFIWaG4uDio1WoolUoEBATgyJEjli7JqsXExGDAgAFwcnJC165dMWXKFPz444+SPkIIvPzyy/Dy8oKDgwNGjBiBH374wUIVdwwxMTGQyWRYvny5vo3j3DIuXLiAOXPmwNXVFZ06dUK/fv2Qm5urf53jfPsaGhrwt7/9DWq1Gg4ODvDx8cGGDRug0+n0fTjO5vn2228xceJEeHl5QSaTYf/+/ZLXmzOutbW1eP755+Hm5gZHR0dMmjQJv/zyS+sULMiqJCcnC1tbW/Hee++JoqIisWzZMuHo6CjOnTtn6dKsVmhoqPjggw9EYWGhKCgoEGFhYeLee+8Vly9f1vfZtGmTcHJyEnv27BGnTp0SM2fOFJ6enqKqqsqClVuv7Oxs0aNHD+Hv7y+WLVumb+c4376Kigrh7e0tnn76aXH8+HFRXFwsDh48KP773//q+3Ccb98rr7wiXF1dxRdffCGKi4vFp59+Kjp37iy2bNmi78NxNk9qaqpYs2aN2LNnjwAg9u3bJ3m9OeMaEREh7rnnHpGRkSHy8vLEyJEjxUMPPSQaGhpavF4GKSsTFBQkIiIiJG29e/cWK1eutFBFHU9ZWZkAIDIzM4UQQuh0OuHh4SE2bdqk71NTUyNUKpVISEiwVJlWq7q6Wtx3330iIyNDDB8+XB+kOM4tY8WKFWLo0KFNvs5xbhlhYWFi3rx5krbHHntMzJkzRwjBcW4pNwap5ozrH3/8IWxtbUVycrK+z4ULF4SNjY1IS0tr8Rp5as+K1NXVITc3FyEhIZL2kJAQHDt2zEJVdTyVlZUAABcXFwBAcXExSktLJeNub2+P4cOHc9zNsHjxYoSFhWHMmDGSdo5zyzhw4AACAwMxY8YMdO3aFQ8//DDee+89/esc55YxdOhQfP311zhz5gwA4OTJkzh69CgmTJgAgOPcWpozrrm5uaivr5f08fLygp+fX6uMPX+02IqUl5dDq9XC3d1d0u7u7o7S0lILVdWxCCEQFRWFoUOHws/PDwD0Y2ts3M+dO9fmNVqz5ORk5OXlIScnx+A1jnPL+N///of4+HhERUVh9erVyM7OxtKlS2Fvb4+nnnqK49xCVqxYgcrKSvTu3RtyuRxarRavvvoqnnjiCQD8PLeW5oxraWkp7OzscPfddxv0aY3vSgYpKySTySTPhRAGbWSeJUuW4Pvvv8fRo0cNXuO4357z589j2bJlSE9Ph1KpbLIfx/n26HQ6BAYGYuPGjQCAhx9+GD/88APi4+Px1FNP6ftxnG/Prl27kJSUhE8++QQPPvggCgoKsHz5cnh5eSE8PFzfj+PcOswZ19Yae57asyJubm6Qy+UGibqsrMwgnZPpnn/+eRw4cACHDh1Ct27d9O0eHh4AwHG/Tbm5uSgrK0NAQAAUCgUUCgUyMzMRGxsLhUKhH0uO8+3x9PSEr6+vpK1Pnz4oKSkBwM9zS3nxxRexcuVKzJo1C3379sXcuXMRGRmJmJgYABzn1tKccfXw8EBdXR1+//33Jvu0JAYpK2JnZ4eAgABkZGRI2jMyMjB48GALVWX9hBBYsmQJ9u7di2+++QZqtVryulqthoeHh2Tc6+rqkJmZyXE3wejRo3Hq1CkUFBToH4GBgZg9ezYKCgrg4+PDcW4BQ4YMMVi+48yZM/D29gbAz3NLuXLlCmxspF+hcrlcv/wBx7l1NGdcAwICYGtrK+mj0WhQWFjYOmPf4pevU6tqXP4gMTFRFBUVieXLlwtHR0fx888/W7o0q7Vo0SKhUqnE4cOHhUaj0T+uXLmi77Np0yahUqnE3r17xalTp8QTTzzB25hbwPV37QnBcW4J2dnZQqFQiFdffVX89NNP4uOPPxadOnUSSUlJ+j4c59sXHh4u7rnnHv3yB3v37hVubm7ipZde0vfhOJunurpa5Ofni/z8fAFAvPXWWyI/P1+/zE9zxjUiIkJ069ZNHDx4UOTl5YlRo0Zx+QP6P9u2bRPe3t7Czs5O9O/fX3+bPpkHgNHHBx98oO+j0+nE+vXrhYeHh7C3txePPPKIOHXqlOWK7iBuDFIc55aRkpIi/Pz8hL29vejdu7fYvn275HWO8+2rqqoSy5YtE/fee69QKpXCx8dHrFmzRtTW1ur7cJzNc+jQIaP/JoeHhwshmjeuV69eFUuWLBEuLi7CwcFBPProo6KkpKRV6pUJIUTLz3MRERERdXy8RoqIiIjITAxSRERERGZikCIiIiIyE4MUERERkZkYpIiIiIjMxCBFREREZCYGKSIiIiIzMUgRERERmYlBiojIRJcuXULXrl3x888/m7Td1q1bMWnSpNYpiogsgkGKiO5IMpnspo+nn366yW1jYmIwceJE9OjRQ9K+Z88ejBgxAiqVCp07d4a/vz82bNiAiooKAMDChQuRk5ODo0ePtuKREVFbYpAiojuSRqPRP7Zs2QJnZ2dJ29tvv210u6tXryIxMRELFiyQtK9ZswYzZ87EgAED8NVXX6GwsBBvvvkmTp48iY8++ggAYG9vjyeffBLvvPNOqx8fEbUNhaULICKyBA8PD/3/VqlUkMlkkramfPXVV1AoFAgODta3ZWdnY+PGjdiyZQuWLVumb+/RowfGjh2LP/74Q982adIkhISE4OrVq3BwcGiZgyEii+GMFBGRCb799lsEBgZK2j7++GN07twZzz33nNFt7rrrLv3/DgwMRH19PbKzs1uzTCJqIwxSREQm+Pnnn+Hl5SVp++mnn+Dj4wNbW9tbbu/o6Ii77rrL5AvViah9YpAiIjLB1atXoVQqJW1CCMhksmbvw8HBAVeuXGnp0ojIAhikiIhM4Obmht9//13Sdv/99+Ps2bOor69v1j4qKirQpUuX1iiPiNoYgxQRkQkefvhhFBUVSdqefPJJXL58GXFxcUa3uf5i87Nnz6KmpgYPP/xwa5ZJRG2EQYqIyAShoaH44YcfJLNSAwcOxEsvvYQXXngBL730ErKysnDu3Dl8/fXXmDFjBj788EN93yNHjsDHxwc9e/a0RPlE1MIYpIiITNC3b18EBgZi9+7dkvbXXnsNn3zyCY4fP47Q0FA8+OCDiIqKgr+/P8LDw/X9du7ciYULF7Z12UTUSmRCCGHpIoiIrElqair++te/orCwEDY2zf/v0cLCQowePRpnzpyBSqVqxQqJqK1wQU4iIhNNmDABP/30Ey5cuIDu3bs3e7uLFy9ix44dDFFEHQhnpIiIiIjMxGukiIiIiMzEIEVERERkJgYpIiIiIjMxSBERERGZiUGKiIiIyEwMUkRERERmYpAiIiIiMhODFBEREZGZGKSIiIiIzPT/AVFgNCDHKmi1AAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots()\n", + "ax.plot(T, Vhg, 'o')\n", + "plt.xlabel('T (C)')\n", + "plt.ylabel('Volume (cm^3)')\n", + "plt.title('Volume of mercury with temperature')" + ] + }, + { + "cell_type": "markdown", + "id": "dda12290", + "metadata": {}, + "source": [ + "### End of Notebook Example\n", + "emf" + ] + }, + { + "cell_type": "markdown", + "id": "6511caab", + "metadata": {}, + "source": [ + "Still... I wonder what the ratio looks like? It's easy to plot in Jupyter." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "bcc4e041", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'Ratio of water and mercury specific volumes')" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots()\n", + "ax.plot(T, Vh2o/Vhg, 'o')\n", + "plt.xlabel('T (C)')\n", + "plt.ylabel(\"V_{H_2O}/V_{Hg}\")\n", + "plt.title('Ratio of water and mercury specific volumes')" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.4" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +}