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are\n", + "Ti = 30 + 273.15 # Beginning temperature in K\n", + "Tf = 200 + 273.15 # final temperature in K\n", + "delta_T = 1 # use increments to calculate numerical derivative\n", + "\n", + "fig, ax = plt.subplots()\n", + "\n", + "for P in [0.1e6, 2e6, 4e6]:\n", + "\n", + " T = np.arange(Ti, Tf + 1, delta_T)\n", + "\n", + " cp_values = np.zeros_like(T, dtype=float)\n", + "\n", + " for idx, T0 in enumerate(T):\n", + " # Compute ΔH over 1 K interval for each temperature\n", + " dH = del_H(T0, T0 + delta_T, P, P, i[:4])\n", + " cp_values[idx] = dH / delta_T\n", + "\n", + " ax.plot(T, cp_values, label=f'P = {P/1e6:.1f} MPa')\n", + "\n", + "cp_ideal = calc_Cp_IG(T, i[:4])\n", + "ax.plot(T, cp_ideal, '--', label='Ideal Gas')\n", + "\n", + "ax.legend()\n", + "plt.xlabel('T (K)')\n", + "plt.ylabel(\"$C_p$ (J/molK)\")\n", + "plt.title('Heat capacity for ethane at different pressures')" + ] + }, + { + "cell_type": "markdown", + "id": "c5e87754", + "metadata": {}, + "source": [ + "This makes sense. The isotherms on the pressure-enthalpy plot tend to bend toward lower values of enthalpy with higher pressures. That is, $(\\partial P/\\partial \\underbar{H})_T$ has a lower and negative slope on the plot. Thus, at $P = 4$ MPa, for each 10 degree difference in temperature, there is nearly double the amount of enthalpy change. Pretty interesting!\n", + "\n", + "Second, the non-lienar behavior also makes sense. This isobar eventually intersects the VLE curve (it’s below the critical pressure) and so you expect the heat capacity to diverge! Why? Think of the intersecting isotherm and what the slope represented by looks like in the VLE region. Then, as you go to higher temperatures along the isobar away from the VLE curve, you begin to recover more ideal-like behavior (and its temperature dependence)." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": ".venv", + "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": "3.12.11" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/module 6/PengRobinson_Et_throttle_problem.ipynb b/module 6/PengRobinson_Et_throttle_problem.ipynb new file mode 100644 index 0000000..bceae41 --- /dev/null +++ b/module 6/PengRobinson_Et_throttle_problem.ipynb @@ -0,0 +1,517 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "f225380f", + "metadata": {}, + "source": [ + "# Homework: Calculate the temperature of ethane in a throttling process\n", + "\n", + "These are codes to calculate the enthalpy departure function from the complete, generalized Peng-Robinson equation of state as given in SIS 5th edition equations 6.4-2 and 6.7-1 to 6.7-4. \n", + "\n", + "We use it to calculate analyze an isenthalpic expansion of ethane through a throttling process.\n", + "\n", + "Eric Furst \n", + "November 2025\n", + "\n", + "----" + ] + }, + { + "cell_type": "markdown", + "id": "28594ad2", + "metadata": {}, + "source": [ + "As ususal, we import the *numpy* and *matplotlib* libraries. We'll also use the *SciPy* constants library." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "8ba8e9f4", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from scipy import constants\n", + "import scipy.optimize as opt\n", + "\n", + "R = constants.R # Set the gas constant to R" + ] + }, + { + "cell_type": "markdown", + "id": "8672870c-eb49-47d7-b862-437a5b5515d6", + "metadata": {}, + "source": [ + "## Problem statement\n", + "\n", + "Ethane gas undergoes a rapid, adiabatic expansion through a continous throttling process from upstream conditions ${\\text{100}^\\circ}\\text{C}$ and 100 bar to atmospheric pressure.\n", + "\n", + "Calculate the downstream gas temperature.\n" + ] + }, + { + "cell_type": "markdown", + "id": "d2e66192-d13c-4c0d-9677-6a0e88410ff3", + "metadata": {}, + "source": [ + "To solve this problem, we will calculate the enthalpy of methane such that it satisfies an isenthalpic condition. In terms of the departure function values, this is \n", + "$$\\Delta \\underline{H} = \\Delta \\underline{H}^\\mathrm{IG} + \\Delta [ \\underline{H} - \\underline{H}^\\mathrm{IG}] = 0$$\n", + "or\n", + "$$\\Delta \\underline{H}^\\mathrm{IG} + [ \\underline{H} - \\underline{H}^\\mathrm{IG}]_2 - [ \\underline{H} - \\underline{H}^\\mathrm{IG}]_1 = 0$$\n", + "The specific departure functions we will use are derived from the generalized Peng-Robinson equation of state. " + ] + }, + { + "cell_type": "markdown", + "id": "9cacacf5", + "metadata": {}, + "source": [ + "# Generalized Peng-Robinson Equation of State\n", + "\n", + "The Generalized Peng-Robinson equation of state is\n", + "\n", + "$$ P = \\frac{RT}{\\underline{V}-b} - \\frac{a(T)}{\\underline{V}(\\underline{V}+b) + b(\\underline{V}-b)} \\tag{Eq. 6.4-2}$$\n", + "\n", + "with\n", + "\n", + "$$ b = 0.07780 \\frac{RT_c}{P_c} \\tag{Eq. 6.7-2}$$\n", + "$$ a(T) = a(T_c)\\alpha(T) = 0.45724 \\frac{R^2T_c^2}{P_c}\\alpha(T) \\tag{Eq. 6.7-1}$$\n", + "$$ \\sqrt{\\alpha} = 1 + \\kappa \\left ( 1- \\sqrt{\\frac{T}{T_c}} \\right ) \\tag{Eq. 6.7-3}$$\n", + "$$ \\kappa = 0.37464 + 1.54226\\omega − 0.26992\\omega^2 \\tag{Eq. 6.7-4}$$\n", + "\n", + "The acentric factor $\\omega$ and the crticial temperatures and pressures are given in SIS table 6.6-1.\n", + "\n", + "Calculating the pressure $P$ given $\\underline{V}$ and $T$ is straightforward, but to calculate the molar volume given $P$ and $T$, we need to solve the cubic equation of state of the form\n", + "\n", + "$$ Z^3 + \\alpha Z^2 + \\beta Z + \\gamma = 0 \\tag{Eq. 6.4-4}$$\n", + "\n", + "where $Z$ is the compressibility factor\n", + "\n", + "$$ Z = \\frac{P \\underbar{V{}}}{RT} $$\n", + "\n", + "For the Peng-Robinson EOS,\n", + "\n", + "$$ \\alpha = -1 + B $$\n", + "$$ \\beta = A - 3B^2 -2B $$\n", + "$$ \\gamma = -AB + B^2 + B^3 $$\n", + "\n", + "and \n", + "\n", + "$$ A = \\frac{aP}{(RT)^2} $$\n", + "$$ B = \\frac{bP}{RT} $$" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "f3d2f917", + "metadata": {}, + "outputs": [], + "source": [ + "\"\"\"\n", + "Generalized Peng-Robinson EOS \n", + "PR_pressure returns the pressure given V, T, Pc, Tc, omega\n", + "PR_volume returns all molar volumes (real roots of EOS) given P, T, Pc, Tc, omega\n", + "\"\"\"\n", + "\n", + "from scipy import constants\n", + "from numpy.polynomial import Polynomial\n", + "\n", + "R = constants.R # Set the gas constant to R\n", + "\n", + "def calc_b(Pc,Tc):\n", + " return 0.07780*R*Tc/Pc\n", + "\n", + "def calc_a(T,Pc,Tc,omega):\n", + " kappa = 0.37464 + 1.54226*omega - 0.26992*omega**2\n", + " sqrtalpha = 1 + kappa*(1-np.sqrt(T/Tc))\n", + " return 0.45724*R**2*Tc**2/Pc*sqrtalpha**2\n", + "\n", + "# Calculate the presure given V, T for PR EOS\n", + "def PR_pressure(V,T,Pc,Tc,omega):\n", + " a = calc_a(T,Pc,Tc,omega)\n", + " b = calc_b(Pc,Tc)\n", + "\n", + " P = R*T/(V-b) - a/(V*(V+b)+b*(V-b))\n", + " return P\n", + "\n", + "# Solve for the compressibility factor given P, T for PR EOS in m^3/mol\n", + "# Note that we can return multiple real roots (up to three)\n", + "# The largest and smallest will be the vapor and liquid, respectively\n", + "def PR_compressibility(P, T, Pc, Tc, omega):\n", + " # Calculate a, b, A, and B\n", + " a = calc_a(T, Pc, Tc, omega)\n", + " b = calc_b(Pc, Tc)\n", + " A = a*P/R**2/T**2\n", + " B = b*P/R/T\n", + "\n", + " # Definitions of alpha, beta, gamma in SIS Table 6.4-3 for PR EOS\n", + " alpha = -1 + B\n", + " beta = A - 3*B**2 -2*B\n", + " gamma = -A*B + B**2 + B**3\n", + "\n", + " # polynomial with coefficients in increasing order: c0 + c1 x + c2 x**2 + ...\n", + " p = Polynomial([ gamma, beta, alpha, 1 ]) \n", + "\n", + " roots = p.roots() # returns all (possibly complex) roots of Z\n", + " real_roots = roots.real[abs(roots.imag) < 1e-12] # filter real ones\n", + "\n", + " return real_roots" + ] + }, + { + "cell_type": "markdown", + "id": "74031b60-3999-49f8-91a2-eebfeeb09d83", + "metadata": {}, + "source": [ + "## Data for ethane\n", + "\n", + "For ethane, we need the critical pressure and temperature and Pitzer's acentric factor:\n", + "\n", + "$P_c = 4.884$ MPa \n", + "$T_c = 305.4$ K \n", + "$\\underline{V}_c = 0.184\\,\\mathrm{m^3/kmol} = 9.9\\times10^{-5}\\,\\mathrm{m^3/mol}$ \n", + "$\\omega = 0.098$ " + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "7579e5f6", + "metadata": {}, + "outputs": [], + "source": [ + "# Critical values for Ethane and the acentric factor\n", + "# pressure in Pa, temperature in K\n", + "Pc = 4.884e6\n", + "Tc = 305.4\n", + "omega = 0.098\n", + "\n", + "# Known values in problem\n", + "T1 = 373 # Inlet temperature in K\n", + "P1 = 10.e6 # Inlet pressure in Pa\n", + "P2 = 101325 # Outlet temperature in Pa" + ] + }, + { + "cell_type": "markdown", + "id": "ad238854-9629-4ce9-9f2a-0c92edcecc92", + "metadata": {}, + "source": [ + "# Enthalpy calculation\n", + "\n", + "## Start by calculating $Z$ for the inlet condition" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "43ba6036", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1.2213490504256714 2.0475020475020473\n" + ] + } + ], + "source": [ + "TR1 = T1/Tc # Reduced temperature\n", + "PR1 = P1/Pc # Reduced pressure\n", + "\n", + "print(TR1,PR1)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "0bdc3b7d-bbe1-4358-91a2-8aeaa0d33040", + "metadata": {}, + "outputs": [], + "source": [ + "TR1 = T1/Tc # Reduced temperature\n", + "PR1 = P1/Pc # Reduced pressure\n", + "\n", + "# Use the PR_vol function to calculate the molar volume\n", + "Z1 = np.max(PR_compressibility(P1,T1,Pc,Tc,omega))" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "ca49e458-2711-465b-add8-198d80ff5131", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Z1 = 0.61\n" + ] + } + ], + "source": [ + "print(f\"Z1 = {Z1:.2f}\")" + ] + }, + { + "cell_type": "markdown", + "id": "4133d8cd", + "metadata": {}, + "source": [ + "## Function for Generalized Peng-Robinson departure function \n", + "The enthalpy departure function in $(P,T)$ control variables for the Peng-Robinson equuation of state is\n", + "\n", + "$$[\\underline{H} - \\underline{H}^\\mathrm{IG}] = RT(Z-1) + \\frac{T\\frac{da}{dT}-a}{2\\sqrt2 b}\\ln \\left [ \\frac{Z+(1+\\sqrt2)B}{Z+(1-\\sqrt2)B} \\right ] \\tag{Eq. 6.4-29}$$\n", + "\n", + "where we need to evaluate the compressibility factor,\n", + "$$Z = \\frac{P\\underline{V}}{RT}$$\n", + "the scaled value of $b$,\n", + "$$B = \\frac{bP}{RT}$$\n", + "and the deriviative of $a(T)$ with respect to temperature given in SIS (p. 264),\n", + "$$\\frac{da}{dT} = - 0.45724 \\frac{R^2T_c^2}{P_c} \\kappa \\sqrt{\\frac{\\alpha}{T T_c}}$$" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "b9c7dd01-8aca-45eb-9d06-7eb0d1d1c084", + "metadata": {}, + "outputs": [], + "source": [ + "# With Z already calculated, we define a function to calculate the departure function\n", + "\n", + "\"\"\"\n", + "Enthalpy departure function from the Peng-Robinson equation of state (eq. 6.4-29)\n", + "For convenience, we recalculate b, kappa, sqrtalpha, and a(T) here, but we could\n", + "use the earlier functions, too.\n", + "\n", + "Uses globals Tc, Pc, R\n", + "\"\"\"\n", + "def calc_depH(T,P,Z):\n", + " b = 0.07780*R*Tc/Pc\n", + " B = b*P/R/T\n", + " kappa = 0.37464 + 1.54226*omega - 0.26992*omega**2\n", + " sqrtalpha = 1 + kappa*(1-(T/Tc)**0.5)\n", + " a = 0.45724*R**2*Tc**2/Pc*sqrtalpha**2\n", + " dadT = -0.45724*R*R*Tc*Tc/Pc*kappa*sqrtalpha/(T*Tc)**0.5\n", + "\n", + " depH = R*T*(Z-1)+(T*dadT-a)/(2*2**0.5*b)*np.log((Z+(1+2**0.5)*B)/(Z+(1-2**0.5)*B))\n", + " return depH" + ] + }, + { + "cell_type": "markdown", + "id": "c8640217", + "metadata": {}, + "source": [ + "## Calculate the inlet departure function $[\\underbar{H}-\\underbar{H}^\\mathrm{IG}]_1$" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "c3dc8ef7-f035-4079-8e90-bb4cc500fbf9", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "*** depH1 = -5108 J/mol\n" + ] + } + ], + "source": [ + "depH1 = calc_depH(T1,P1,Z1)\n", + "\n", + "print(f\"*** depH1 = {depH1:.0f} J/mol\")" + ] + }, + { + "cell_type": "markdown", + "id": "1fb6ec34", + "metadata": {}, + "source": [ + "## Guess an outlet temperature\n", + "\n", + "Now, the challenge here is that the outlet temperature is not known. So, we have to guess an outlet temperature and calculate both the ideal contributino and the outlet departure function value." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "02096ffe", + "metadata": {}, + "outputs": [], + "source": [ + "# GUESS OUTLET TEMP\n", + "T2 = 284.4 # outlet temp in K\n", + "T2R = T2/Tc # reduced outlet temperature" + ] + }, + { + "cell_type": "markdown", + "id": "9b0c2408-14d8-4e9b-b593-414804278b6d", + "metadata": {}, + "source": [ + "## Function to calculate the enthalpy change in the ideal state $\\Delta \\underbar{H}^\\mathrm{IG}$\n", + "$$\\Delta\\underline{H}^\\mathrm{IG} = \\int_{T_1}^{T_2}C_p^*(T)dT$$\n", + "where we will use the ideal state heat capacities summarized in Appendix A.II,\n", + "$$C^*_p(T) = A + BT + CT^2 + DT^3$$\n", + "resulting in\n", + "$$\\Delta\\underline{H}^\\mathrm{IG} = A(T_2-T_1) + \\frac{1}{2}B(T_2^2 - T_1^2)+ \\frac{1}{3}C(T_2^3 - T_1^3) + \\frac{1}{4}D(T_2^4 - T_1^4)$$" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "b587ff94-888c-455a-b216-f68a3a7ff462", + "metadata": {}, + "outputs": [], + "source": [ + "# Heat capacity data for N2, O2, CO2, CH4, C2H6\n", + "params = np.array([\n", + " [28.83, -0.157, 0.808, -2.871, 1800],\n", + " [25.46, 1.519, -0.715, 1.311, 1800],\n", + " [22.243, 5.977, -3.499, 7.464, 1800],\n", + " [19.875, 5.021, 1.268, -11.004, 1500],\n", + " [6.895, 17.255, -6.402, 7.280, 1500]\n", + " ])\n", + "\n", + "i = params[4,:] # equation parameters for ethane\n", + "\n", + "deltaHIG = i[0]*(T2-T1) + i[1]*10**-2*(T2**2-T1**2)/2 + i[2]*10**-5*(T2**3-T1**3)/3 + i[3]*10**-9*(T2**4-T1**4)/4" + ] + }, + { + "cell_type": "markdown", + "id": "2dd02464", + "metadata": {}, + "source": [ + "## Calculate the enthalpy change of the ideal state" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "bb8d3194-40ce-463c-9914-5eed37d4f7de", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "*** Delta HIG = -5043 J/mol\n" + ] + } + ], + "source": [ + "print(\"*** Delta HIG = {:.0f} J/mol\".format(deltaHIG))" + ] + }, + { + "cell_type": "markdown", + "id": "a5cf19a3-a21e-4fc0-a034-30d48834da91", + "metadata": {}, + "source": [ + "## Calculate the outlet departure function $[\\underbar{H}-\\underbar{H}^\\mathrm{IG}]_2$" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "04bda783-43d6-4fb6-8f69-e87dc1a5a2be", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "depH2 = -63 J/mol\n" + ] + } + ], + "source": [ + "# Use the PR_compressibility function to calculate the molar volume and compressibility factor\n", + "Z2 = np.max(PR_compressibility(P2,T2,Pc,Tc,omega))\n", + "\n", + "depH2 = calc_depH(T2,P2,Z2)\n", + "#print(P2/Pc)\n", + "print(f\"depH2 = {depH2:.0f} J/mol\")\n", + "# , deltaH = {:.0f} J/mol <-- should be zero\".format(depH2,deltaHIG+depH2-depH1))" + ] + }, + { + "cell_type": "markdown", + "id": "b59d01f8", + "metadata": {}, + "source": [ + "## Check if the sum is zero $\\Delta \\underbar{H}^\\mathrm{IG} + [\\underbar{H}-\\underbar{H}^\\mathrm{IG}]_2 - [\\underbar{H}-\\underbar{H}^\\mathrm{IG}]_1 = 0$\n", + "Since $\\Delta \\underbar{H} = 0$" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "b30ecfe0", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "delta_H = 2 J/mol\n", + "for T2 = 284.40 K\n" + ] + } + ], + "source": [ + "print(f\"delta_H = {deltaHIG + depH2 - depH1:.0f} J/mol\")\n", + "print(f\"for T2 = {T2:.2f} K\")" + ] + }, + { + "cell_type": "markdown", + "id": "8044d9eb", + "metadata": {}, + "source": [ + "If this doesn't equal zero (or is close to zero), guess another $T_2$ and recalculate $\\Delta \\underbar{H}^\\mathrm{IG}$ and $[\\underbar{H} - \\underbar{H}^\\mathrm{IG}]_2$." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "edee9974", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": ".venv", + "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": "3.12.11" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/module 6/PengRobinson_Me_throttle_example.ipynb b/module 6/PengRobinson_Me_throttle_example.ipynb new file mode 100644 index 0000000..04e33c1 --- /dev/null +++ b/module 6/PengRobinson_Me_throttle_example.ipynb @@ -0,0 +1,576 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "f225380f", + "metadata": {}, + "source": [ + "# Example: Departure functions from Peng-Robinson equation of state\n", + "\n", + "These are codes to calculate the enthalpy departure function from the complete, generalized Peng-Robinson equation of state as given in SIS 5th edition equations 6.4-2 and 6.7-1 to 6.7-4. \n", + "\n", + "We use it to calculate analyze an isenthalpic expansion of methane through a throttling process.\n", + "\n", + "Eric Furst \n", + "November 2024\n", + "\n", + "Version updates: \n", + "Revisions in layout, calculation of PR EOS (11/2025)\n", + "\n", + "----" + ] + }, + { + "cell_type": "markdown", + "id": "28594ad2", + "metadata": {}, + "source": [ + "As ususal, we import the *numpy* and *matplotlib* libraries. We'll also use the *SciPy* constants library." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "8ba8e9f4", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from scipy import constants\n", + "import scipy.optimize as opt\n", + "\n", + "R = constants.R # Set the gas constant to R" + ] + }, + { + "cell_type": "markdown", + "id": "8672870c-eb49-47d7-b862-437a5b5515d6", + "metadata": {}, + "source": [ + "## Problem statement\n", + "\n", + "Methane gas undergoes a rapid, adiabatic expansion through a continous throttling process from upstream conditions ${\\text{13}^\\circ}\\text{C}$ and 184 bar to a lower pressure at ${\\text{-43}^\\circ}\\text{C}$ .\n", + "\n", + "Calculate the downstream gas pressure.\n" + ] + }, + { + "cell_type": "markdown", + "id": "d2e66192-d13c-4c0d-9677-6a0e88410ff3", + "metadata": {}, + "source": [ + "To solve this problem, we will calculate the enthalpy of methane such that it satisfies an isenthalpic condition. In terms of the departure function values, this is \n", + "$$\\Delta \\underline{H} = \\Delta \\underline{H}^\\mathrm{IG} + \\Delta [ \\underline{H} - \\underline{H}^\\mathrm{IG}] = 0$$\n", + "or\n", + "$$\\Delta \\underline{H}^\\mathrm{IG} + [ \\underline{H} - \\underline{H}^\\mathrm{IG}]_2 - [ \\underline{H} - \\underline{H}^\\mathrm{IG}]_1 = 0$$\n", + "The specific departure functions we will use are derived from the generalized Peng-Robinson equation of state. " + ] + }, + { + "cell_type": "markdown", + "id": "9cacacf5", + "metadata": {}, + "source": [ + "# Generalized Peng-Robinson Equation of State\n", + "\n", + "The Generalized Peng-Robinson equation of state is\n", + "\n", + "$$ P = \\frac{RT}{\\underline{V}-b} - \\frac{a(T)}{\\underline{V}(\\underline{V}+b) + b(\\underline{V}-b)} \\tag{Eq. 6.4-2}$$\n", + "\n", + "with\n", + "\n", + "$$ b = 0.07780 \\frac{RT_c}{P_c} \\tag{Eq. 6.7-2}$$\n", + "$$ a(T) = a(T_c)\\alpha(T) = 0.45724 \\frac{R^2T_c^2}{P_c}\\alpha(T) \\tag{Eq. 6.7-1}$$\n", + "$$ \\sqrt{\\alpha} = 1 + \\kappa \\left ( 1- \\sqrt{\\frac{T}{T_c}} \\right ) \\tag{Eq. 6.7-3}$$\n", + "$$ \\kappa = 0.37464 + 1.54226\\omega − 0.26992\\omega^2 \\tag{Eq. 6.7-4}$$\n", + "\n", + "The acentric factor $\\omega$ and the crticial temperatures and pressures are given in SIS table 6.6-1.\n", + "\n", + "Calculating the pressure $P$ given $\\underline{V}$ and $T$ is straightforward, but to calculate the molar volume given $P$ and $T$, we need to solve the cubic equation of state of the form\n", + "\n", + "$$ Z^3 + \\alpha Z^2 + \\beta Z + \\gamma = 0 \\tag{Eq. 6.4-4}$$\n", + "\n", + "where $Z$ is the compressibility factor\n", + "\n", + "$$ Z = \\frac{P \\underbar{V{}}}{RT} $$\n", + "\n", + "For the Peng-Robinson EOS,\n", + "\n", + "$$ \\alpha = -1 + B $$\n", + "$$ \\beta = A - 3B^2 -2B $$\n", + "$$ \\gamma = -AB + B^2 + B^3 $$\n", + "\n", + "and \n", + "\n", + "$$ A = \\frac{aP}{(RT)^2} $$\n", + "$$ B = \\frac{bP}{RT} $$" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "f3d2f917", + "metadata": {}, + "outputs": [], + "source": [ + "\"\"\"\n", + "Generalized Peng-Robinson EOS \n", + "PR_pressure returns the pressure given V, T, Pc, Tc, omega\n", + "PR_volume returns all molar volumes (real roots of EOS) given P, T, Pc, Tc, omega\n", + "\"\"\"\n", + "\n", + "from scipy import constants\n", + "from numpy.polynomial import Polynomial\n", + "\n", + "R = constants.R # Set the gas constant to R\n", + "\n", + "def calc_b(Pc,Tc):\n", + " return 0.07780*R*Tc/Pc\n", + "\n", + "def calc_a(T,Pc,Tc,omega):\n", + " kappa = 0.37464 + 1.54226*omega - 0.26992*omega**2\n", + " sqrtalpha = 1 + kappa*(1-np.sqrt(T/Tc))\n", + " return 0.45724*R**2*Tc**2/Pc*sqrtalpha**2\n", + "\n", + "# Calculate the presure given V, T for PR EOS\n", + "def PR_pressure(V,T,Pc,Tc,omega):\n", + " a = calc_a(T,Pc,Tc,omega)\n", + " b = calc_b(Pc,Tc)\n", + "\n", + " P = R*T/(V-b) - a/(V*(V+b)+b*(V-b))\n", + " return P\n", + "\n", + "# Solve for the compressibility factor given P, T for PR EOS in m^3/mol\n", + "# Note that we can return multiple real roots (up to three)\n", + "# The largest and smallest will be the vapor and liquid, respectively\n", + "def PR_compressibility(P, T, Pc, Tc, omega):\n", + " # Calculate a, b, A, and B\n", + " a = calc_a(T, Pc, Tc, omega)\n", + " b = calc_b(Pc, Tc)\n", + " A = a*P/R**2/T**2\n", + " B = b*P/R/T\n", + "\n", + " # Definitions of alpha, beta, gamma in SIS Table 6.4-3 for PR EOS\n", + " alpha = -1 + B\n", + " beta = A - 3*B**2 -2*B\n", + " gamma = -A*B + B**2 + B**3\n", + "\n", + " # polynomial with coefficients in increasing order: c0 + c1 x + c2 x**2 + ...\n", + " p = Polynomial([ gamma, beta, alpha, 1 ]) \n", + "\n", + " roots = p.roots() # returns all (possibly complex) roots of Z\n", + " real_roots = roots.real[abs(roots.imag) < 1e-12] # filter real ones\n", + "\n", + " return real_roots" + ] + }, + { + "cell_type": "markdown", + "id": "74031b60-3999-49f8-91a2-eebfeeb09d83", + "metadata": {}, + "source": [ + "## Data for methane\n", + "\n", + "For methane, we need the critical pressure and temperature and Pitzer's acentric factor:\n", + "\n", + "$P_c = 4.6$ MPa \n", + "$T_c = 190.6$ K \n", + "$\\underline{V}_c = 0.099\\,\\mathrm{m^3/kmol} = 9.9\\times10^{-5}\\,\\mathrm{m^3/mol}$ \n", + "$\\omega = 0.008$ " + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "7579e5f6", + "metadata": {}, + "outputs": [], + "source": [ + "# Critical values for Methane and the accentric factor\n", + "# pressure in Pa, temperature in K\n", + "Pc = 4.6e6\n", + "Tc = 190.6\n", + "omega = 0.008\n", + "\n", + "# Known values in problem\n", + "T1 = 286 # Inlet temperature in K\n", + "P1 = 18.4e6 # Inlet pressure in Pa\n", + "T2 = 230 # Outlet temperature in K" + ] + }, + { + "cell_type": "markdown", + "id": "ad238854-9629-4ce9-9f2a-0c92edcecc92", + "metadata": {}, + "source": [ + "# Enthalpy calculation\n", + "\n", + "## Start by calculating $Z$ for the inlet condition" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "0bdc3b7d-bbe1-4358-91a2-8aeaa0d33040", + "metadata": {}, + "outputs": [], + "source": [ + "TR1 = T1/Tc # Reduced temperature\n", + "PR1 = P1/Pc # Reduced pressure\n", + "\n", + "# Use the PR_vol function to calculate the molar volume\n", + "Z1 = np.max(PR_compressibility(P1,T1,Pc,Tc,omega))" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "ca49e458-2711-465b-add8-198d80ff5131", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Z1 = 0.77\n" + ] + } + ], + "source": [ + "print(\"Z1 = {:.2f}\".format(Z1))" + ] + }, + { + "cell_type": "markdown", + "id": "4133d8cd", + "metadata": {}, + "source": [ + "## Calculate the departure function for the inlet condition\n", + "The enthalpy departure function in $(P,T)$ control variables for the Peng-Robinson equuation of state is\n", + "\n", + "$$[\\underline{H} - \\underline{H}^\\mathrm{IG}] = RT(Z-1) + \\frac{T\\frac{da}{dT}-a}{2\\sqrt2 b}\\ln \\left [ \\frac{Z+(1+\\sqrt2)B}{Z+(1-\\sqrt2)B} \\right ] \\tag{Eq. 6.4-29}$$\n", + "\n", + "where we need to evaluate the compressibility factor,\n", + "$$Z = \\frac{P\\underline{V}}{RT}$$\n", + "the scaled value of $b$,\n", + "$$B = \\frac{bP}{RT}$$\n", + "and the deriviative of $a(T)$ with respect to temperature given in SIS (p. 264),\n", + "$$\\frac{da}{dT} = - 0.45724 \\frac{R^2T_c^2}{P_c} \\kappa \\sqrt{\\frac{\\alpha}{T T_c}}$$" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "b9c7dd01-8aca-45eb-9d06-7eb0d1d1c084", + "metadata": {}, + "outputs": [], + "source": [ + "# With Z already calculated, we define a function to calculate the departure function\n", + "\n", + "\"\"\"\n", + "Enthalpy departure function from the Peng-Robinson equation of state (eq. 6.4-29)\n", + "For convenience, we recalculate b, kappa, sqrtalpha, and a(T) here, but we could\n", + "use the earlier functions, too.\n", + "\n", + "Uses globals Tc, Pc, R\n", + "\"\"\"\n", + "def calc_depH(T,P,Z):\n", + " b = 0.07780*R*Tc/Pc\n", + " B = b*P/R/T\n", + " kappa = 0.37464 + 1.54226*omega - 0.26992*omega**2\n", + " sqrtalpha = 1 + kappa*(1-(T/Tc)**0.5)\n", + " a = 0.45724*R**2*Tc**2/Pc*sqrtalpha**2\n", + " dadT = -0.45724*R*R*Tc*Tc/Pc*kappa*sqrtalpha/(T*Tc)**0.5\n", + "\n", + " depH = R*T*(Z-1)+(T*dadT-a)/(2*2**0.5*b)*np.log((Z+(1+2**0.5)*B)/(Z+(1-2**0.5)*B))\n", + " return depH" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "c3dc8ef7-f035-4079-8e90-bb4cc500fbf9", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "*** depH1 = -3134 J/mol\n" + ] + } + ], + "source": [ + "depH1 = calc_depH(T1,P1,Z1)\n", + "\n", + "print(f\"*** depH1 = {depH1:.0f} J/mol\")" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "6132bf00-dc64-4bbf-99cc-4e749d5f676b", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "3.93\n" + ] + } + ], + "source": [ + "# I'm calculating this number to compare with corresponding states later...\n", + "print(f\"{-depH1/Tc/4.184:.2f}\")" + ] + }, + { + "cell_type": "markdown", + "id": "9b0c2408-14d8-4e9b-b593-414804278b6d", + "metadata": {}, + "source": [ + "## Calculate the change in enthalpy in the ideal state\n", + "$$\\Delta\\underline{H}^\\mathrm{IG} = \\int_{T_1}^{T_2}C_p^*(T)dT$$\n", + "where we will use the ideal state heat capacities summarized in Appendix A.II,\n", + "$$C^*_p(T) = A + BT + CT^2 + DT^3$$\n", + "resulting in\n", + "$$\\Delta\\underline{H}^\\mathrm{IG} = A(T_2-T_1) + \\frac{1}{2}B(T_2^2 - T_1^2)+ \\frac{1}{3}C(T_2^3 - T_1^3) + \\frac{1}{4}D(T_2^4 - T_1^4)$$" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "b587ff94-888c-455a-b216-f68a3a7ff462", + "metadata": {}, + "outputs": [], + "source": [ + "# Heat capacity data for N2, O2, CO2, CH4, C2H6\n", + "params = np.array([\n", + " [28.83, -0.157, 0.808, -2.871, 1800],\n", + " [25.46, 1.519, -0.715, 1.311, 1800],\n", + " [22.243, 5.977, -3.499, 7.464, 1800],\n", + " [19.875, 5.021, 1.268, -11.004, 1500],\n", + " [6.895, 17.255, -6.402, 7.280, 1500]\n", + " ])\n", + "\n", + "i = params[3,:] # equation parameters for methane\n", + "\n", + "deltaHIG = i[0]*(T2-T1) + i[1]*10**-2*(T2**2-T1**2)/2 \\\n", + " + i[2]*10**-5*(T2**3-T1**3)/3 \\\n", + " + i[3]*10**-9*(T2**4-T1**4)/4" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "bb8d3194-40ce-463c-9914-5eed37d4f7de", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Delta HIG = -1875 J/mol\n" + ] + } + ], + "source": [ + "print(\"Delta HIG = {:.0f} J/mol\".format(deltaHIG))" + ] + }, + { + "cell_type": "markdown", + "id": "0d72851d-90a5-43f0-9839-02f5f495744b", + "metadata": {}, + "source": [ + "Now solve\n", + "$$[ \\underline{H} - \\underline{H}^\\mathrm{IG}]_2 = [ \\underline{H} - \\underline{H}^\\mathrm{IG}]_1 - \\Delta \\underline{H}^\\mathrm{IG}$$\n", + "\n", + "We are looking for a value of the departure function:" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "9907b191-2e60-4a7b-8f04-e2655ed4474c", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "depH2 must equal -1259 J/mol\n" + ] + } + ], + "source": [ + "print(\"depH2 must equal {:.0f} J/mol\".format(depH1-deltaHIG))" + ] + }, + { + "cell_type": "markdown", + "id": "a5cf19a3-a21e-4fc0-a034-30d48834da91", + "metadata": {}, + "source": [ + "Do this by guessing an outlet pressure, calculating $[ \\underline{H} - \\underline{H}^\\mathrm{IG}]_2$ and iterating (guessing new values of $P_2$) until the condition above is met." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "04bda783-43d6-4fb6-8f69-e87dc1a5a2be", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "depH2 = -1259 J/mol, deltaH = 0 J/mol <-- should be zero\n" + ] + } + ], + "source": [ + "# Guess:\n", + "P2 = 4.145e6 # guess a pressure\n", + "\n", + "# Use the PR_compressibility function to calculate the molar volume and compressibility factor\n", + "Z2 = np.max(PR_compressibility(P2,T2,Pc,Tc,omega))\n", + "\n", + "depH2 = calc_depH(T2,P2,Z2)\n", + "#print(P2/Pc)\n", + "print(\"depH2 = {:.0f} J/mol, deltaH = {:.0f} J/mol <-- should be zero\".format(depH2,deltaHIG+depH2-depH1))" + ] + }, + { + "cell_type": "markdown", + "id": "acfea36c-cb4a-4a12-8577-059d4790340e", + "metadata": {}, + "source": [ + "---\n", + "\n", + "# Change in molar entropy\n", + "\n", + "Now we can calcuate the change in molar entropy of the methane,\n", + "\n", + "$$\\Delta \\underline{S} = \\Delta \\underline{S}^\\mathrm{IG} + \\Delta [ \\underline{S} - \\underline{S}^\\mathrm{IG}]$$\n", + "\n", + "Since the throttling process is adiabatic, this change represents the rate of entropy generation, $\\underline{\\dot{S}}_\\mathrm{gen}$.\n", + "\n", + "The entropy departure function for the Peng-Robinson equation is\n", + "$$[ \\underline{S} - \\underline{S}^\\mathrm{IG}] = R\\ln(Z-B) + \\frac{da/dT}{2\\sqrt{2}b}\\ln \\left [ \\frac{Z+(1+\\sqrt2)B}{Z+(1-\\sqrt2)B} \\right ] \\tag{Eq. 6.4-30}$$\n", + "and the entropy change of the real fluid in an ideal state with $P$ and $T$ control variables is\n", + "$$\\Delta \\underline{S}^\\mathrm{IG} = \\int_{T_1}^{T_2}\\frac{C_p^*(T)}{T}dT - R\\ln\\frac{P_2}{P_1}$$\n", + "with $C_p^*(T)$ given above, \n", + "$$\\Delta \\underline{S}^\\mathrm{IG} = A\\ln\\frac{T_2}{T_1} + B(T_2-T_1) + \\frac{1}{2}C(T_2^2-T_1^2) + \\frac{1}{3}D(T_2^3-T_1^3) - R\\ln\\frac{P_2}{P_1}$$" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "cea15f29-14c8-4b4e-91bc-b070b56856d1", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "np.float64(12.433452523746052)" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "deltaSIG = i[0]*np.log(T2/T1) + i[1]*10**-2*(T2-T1) + i[2]*10**-5*(T2**2-T1**2)/2 \n", + "+ i[3]*10**-9*(T2**3-T1**3)/3 - R*np.log(P2/P1)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "0050af8f-231e-401a-8583-4e536511082a", + "metadata": {}, + "outputs": [], + "source": [ + "\"\"\"\n", + "Entropy departure function from the Peng-Robinson equation of state (eq. 6.4-30)\n", + "For convenience, we recalculate b, kappa, sqrtalpha, and a(T) here, but we could\n", + "use the earlier functions, too.\n", + "\n", + "Uses globals Tc, Pc, R\n", + "\"\"\"\n", + "def calc_depS(T,P,Z):\n", + " b = 0.07780*R*Tc/Pc\n", + " B = b*P/R/T\n", + " kappa = 0.37464 + 1.54226*omega - 0.26992*omega**2\n", + " sqrtalpha = 1 + kappa*(1-np.sqrt(T/Tc))\n", + " a = 0.45724*R**2*Tc**2/Pc*sqrtalpha**2\n", + " dadT = -0.45724*R*R*Tc*Tc/Pc*kappa*sqrtalpha/np.sqrt(T*Tc)\n", + "\n", + " depS = R*(Z-B)+dadT/(2*2**0.5*b)*np.log((Z+(1+2**0.5)*B)/(Z+(1-2**0.5)*B))\n", + " return depS\n", + "\n", + "depS1 = calc_depS(T1, P1, Z1)\n", + "depS2 = calc_depS(T2, P2, Z2)" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "f21e77c3-ac10-4596-bcd1-1e1124cffdd6", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "T1: 286.0 K, P1: 1.84e+07 Pa, Z1: 0.77\n", + "T2: 230.0 K, P2: 4.14e+06 Pa, Z2: 0.79\n", + "\n", + "delSIG= -7.33, depS2= 4.9, depS1= 1.6\n", + "\n", + "Change in molar entropy: -4.0 J/mol.K\n" + ] + } + ], + "source": [ + "print(\"T1: {:.1f} K, P1: {:0.2e} Pa, Z1: {:.2f}\".format(T1,P1,Z1))\n", + "print(\"T2: {:.1f} K, P2: {:0.2e} Pa, Z2: {:.2f}\\n\".format(T2,P2,Z2))\n", + "print(\"delSIG= {:.2f}, depS2= {:.1f}, depS1= {:.1f}\\n\".format(deltaSIG,depS2,depS1))\n", + "print(\"Change in molar entropy: {:.1f} J/mol.K\".format(deltaSIG + depS2 - depS1))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "b2f846c5", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": ".venv", + "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": "3.12.11" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/module 6/Peng_Robinson_EOS.ipynb b/module 6/Peng_Robinson_EOS.ipynb new file mode 100644 index 0000000..c8ae394 --- /dev/null +++ b/module 6/Peng_Robinson_EOS.ipynb @@ -0,0 +1,187 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "3c29e0e8", + "metadata": {}, + "source": [ + "# Generalized Peng-Robinson Equation of State\n", + "\n", + "Routines to calcualte the Generalized Peng-Robinson Equation of State\n", + "\n", + "SIS is Stanley I. Sandler, *Chemical, Biochemcial and Engineering Thermodynamics*, 5th ed.\n", + "\n", + "Eric Furst \n", + "November 2025\n", + "\n", + "The Generalized Peng-Robinson equation of state is\n", + "\n", + "$$ P = \\frac{RT}{\\underline{V}-b} - \\frac{a(T)}{\\underline{V}(\\underline{V}+b) + b(\\underline{V}-b)} \\tag{Eq. 6.4-2}$$\n", + "\n", + "with\n", + "\n", + "$$ b = 0.07780 \\frac{RT_c}{P_c} \\tag{Eq. 6.7-2}$$\n", + "$$ a(T) = a(T_c)\\alpha(T) = 0.45724 \\frac{R^2T_c^2}{P_c}\\alpha(T) \\tag{Eq. 6.7-1}$$\n", + "$$ \\sqrt{\\alpha} = 1 + \\kappa \\left ( 1- \\sqrt{\\frac{T}{T_c}} \\right ) \\tag{Eq. 6.7-3}$$\n", + "$$ \\kappa = 0.37464 + 1.54226\\omega − 0.26992\\omega^2 \\tag{Eq. 6.7-4}$$\n", + "\n", + "The acentric factor $\\omega$ and the crticial temperatures and pressures are given in SIS table 6.6-1.\n", + "\n", + "Calculating the pressure $P$ given $\\underline{V}$ and $T$ is straightforward, but to calculate the molar volume given $P$ and $T$, we need to solve the cubic equation of state of the form\n", + "\n", + "$$ Z^3 + \\alpha Z^2 + \\beta Z + \\gamma = 0 \\tag{Eq. 6.4-4}$$\n", + "\n", + "where $Z$ is the compressibility factor\n", + "\n", + "$$ Z = \\frac{P \\underbar{V{}}}{RT} $$\n", + "\n", + "For the Peng-Robinson EOS (see SIS Table 6.4-3),\n", + "\n", + "$$ \\alpha = -1 + B $$\n", + "$$ \\beta = A - 3B^2 -2B $$\n", + "$$ \\gamma = -AB + B^2 + B^3 $$\n", + "\n", + "and \n", + "\n", + "$$ A = \\frac{aP}{(RT)^2} $$\n", + "$$ B = \\frac{bP}{RT} $$" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "47da809f", + "metadata": {}, + "outputs": [], + "source": [ + "\"\"\"\n", + "Generalized Peng-Robinson EOS \n", + "PR_pressure returns the pressure given V, T, Pc, Tc, omega\n", + "PR_volume returns all molar volumes (real roots of EOS) given P, T, Pc, Tc, omega\n", + "\"\"\"\n", + "import numpy as np\n", + "from scipy import constants\n", + "from numpy.polynomial import Polynomial\n", + "\n", + "R = constants.R # Set the gas constant to R\n", + "\n", + "def calc_b(Pc,Tc):\n", + " return 0.07780*R*Tc/Pc\n", + "\n", + "def calc_a(T,Pc,Tc,omega):\n", + " kappa = 0.37464 + 1.54226*omega - 0.26992*omega**2\n", + " sqrtalpha = 1 + kappa*(1-np.sqrt(T/Tc))\n", + " return 0.45724*R**2*Tc**2/Pc*sqrtalpha**2\n", + "\n", + "# Calculate the presure given V, T for PR EOS\n", + "def PR_pressure(V,T,Pc,Tc,omega):\n", + " a = calc_a(T,Pc,Tc,omega)\n", + " b = calc_b(Pc,Tc)\n", + "\n", + " P = R*T/(V-b) - a/(V*(V+b)+b*(V-b))\n", + " return P\n", + "\n", + "# Calculate the molar volume given P, T for PR EOS in m^3/mol\n", + "# Note that we can return multiple real roots (up to three)\n", + "# The largest and smallest will be the vapor and liquid, respectively\n", + "def PR_volume(P, T, Pc, Tc, omega):\n", + " # Calculate a, b, A, and B\n", + " a = calc_a(T, Pc, Tc, omega)\n", + " b = calc_b(Pc, Tc)\n", + " A = a*P/R**2/T**2\n", + " B = b*P/R/T\n", + "\n", + " # Definitions of alpha, beta, gamma in SIS Table 6.4-3 for PR EOS\n", + " alpha = -1 + B\n", + " beta = A - 3*B**2 -2*B\n", + " gamma = -A*B + B**2 + B**3\n", + "\n", + " # polynomial with coefficients in increasing order: c0 + c1 x + c2 x**2 + ...\n", + " p = Polynomial([ gamma, beta, alpha, 1 ]) \n", + "\n", + " roots = p.roots() # returns all (possibly complex) roots of Z\n", + " real_roots = roots.real[abs(roots.imag) < 1e-12] # filter real ones\n", + "\n", + " # Convert real values of Z to molar volume\n", + " V = real_roots*R*T/P\n", + "\n", + " return V\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "id": "2f55b187", + "metadata": {}, + "source": [ + "## Example calculation\n", + "\n", + "Given the PR EOS, calculate the molar volume(s) of ethane given different temperature and pressures for ethane." + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "fd028ebd", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[6.08349837e-05 2.38749240e-04 1.65668503e-03]\n", + "[494.28796012 125.94804501 18.15070421]\n" + ] + } + ], + "source": [ + "# Given the PR EOS, calculate the molar volume(s) of ethane given different T and P:\n", + "\n", + "# Data for ethane\n", + "Pc = 4.884e6\n", + "Tc = 305.4\n", + "omega = 0.098\n", + "MW = 30.07\n", + "\n", + "P = 1e6\n", + "T = -33+273.15\n", + "\n", + "# molar volume m^3/mol\n", + "print((PR_volume(P, T, Pc, Tc, omega))) \n", + "\n", + "# specific density kg/m^3\n", + "print(1/(PR_volume(P, T, Pc, Tc, omega)/MW*1000)) \n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "f387f98f", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": ".venv", + "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": "3.12.11" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/module 6/Peng_Robinson_EOS_isotherms.ipynb b/module 6/Peng_Robinson_EOS_isotherms.ipynb new file mode 100644 index 0000000..95470b5 --- /dev/null +++ b/module 6/Peng_Robinson_EOS_isotherms.ipynb @@ -0,0 +1,306 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "7af16f2a", + "metadata": {}, + "source": [ + "# Example: Using the Peng-Robinson EOS to plot several isotherms for Nitrogen" + ] + }, + { + "cell_type": "markdown", + "id": "3c29e0e8", + "metadata": {}, + "source": [ + "## Generalized Peng-Robinson Equation of State\n", + "\n", + "Routines to calcualte the Generalized Peng-Robinson Equation of State\n", + "\n", + "SIS is Stanley I. Sandler, *Chemical, Biochemcial and Engineering Thermodynamics*, 5th ed.\n", + "\n", + "Eric Furst \n", + "November 2025\n", + "\n", + "The Generalized Peng-Robinson equation of state is\n", + "\n", + "$$ P = \\frac{RT}{\\underline{V}-b} - \\frac{a(T)}{\\underline{V}(\\underline{V}+b) + b(\\underline{V}-b)} \\tag{Eq. 6.4-2}$$\n", + "\n", + "with\n", + "\n", + "$$ b = 0.07780 \\frac{RT_c}{P_c} \\tag{Eq. 6.7-2}$$\n", + "$$ a(T) = a(T_c)\\alpha(T) = 0.45724 \\frac{R^2T_c^2}{P_c}\\alpha(T) \\tag{Eq. 6.7-1}$$\n", + "$$ \\sqrt{\\alpha} = 1 + \\kappa \\left ( 1- \\sqrt{\\frac{T}{T_c}} \\right ) \\tag{Eq. 6.7-3}$$\n", + "$$ \\kappa = 0.37464 + 1.54226\\omega − 0.26992\\omega^2 \\tag{Eq. 6.7-4}$$\n", + "\n", + "The acentric factor $\\omega$ and the crticial temperatures and pressures are given in SIS table 6.6-1.\n", + "\n", + "Calculating the pressure $P$ given $\\underline{V}$ and $T$ is straightforward, but to calculate the molar volume given $P$ and $T$, we need to solve the cubic equation of state of the form\n", + "\n", + "$$ Z^3 + \\alpha Z^2 + \\beta Z + \\gamma = 0 \\tag{Eq. 6.4-4}$$\n", + "\n", + "where $Z$ is the compressibility factor\n", + "\n", + "$$ Z = \\frac{P \\underbar{V{}}}{RT} $$\n", + "\n", + "For the Peng-Robinson EOS (see SIS Table 6.4-3),\n", + "\n", + "$$ \\alpha = -1 + B $$\n", + "$$ \\beta = A - 3B^2 -2B $$\n", + "$$ \\gamma = -AB + B^2 + B^3 $$\n", + "\n", + "and \n", + "\n", + "$$ A = \\frac{aP}{(RT)^2} $$\n", + "$$ B = \\frac{bP}{RT} $$" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "47da809f", + "metadata": {}, + "outputs": [], + "source": [ + "\"\"\"\n", + "Generalized Peng-Robinson EOS \n", + "PR_pressure returns the pressure given V, T, Pc, Tc, omega\n", + "PR_volume returns all molar volumes (real roots of EOS) given P, T, Pc, Tc, omega\n", + "\"\"\"\n", + "import numpy as np\n", + "from scipy import constants\n", + "from numpy.polynomial import Polynomial\n", + "\n", + "R = constants.R # Set the gas constant to R\n", + "\n", + "def calc_b(Pc,Tc):\n", + " return 0.07780*R*Tc/Pc\n", + "\n", + "def calc_a(T,Pc,Tc,omega):\n", + " kappa = 0.37464 + 1.54226*omega - 0.26992*omega**2\n", + " sqrtalpha = 1 + kappa*(1-np.sqrt(T/Tc))\n", + " return 0.45724*R**2*Tc**2/Pc*sqrtalpha**2\n", + "\n", + "# Calculate the presure given V, T for PR EOS\n", + "def PR_pressure(V,T,Pc,Tc,omega):\n", + " a = calc_a(T,Pc,Tc,omega)\n", + " b = calc_b(Pc,Tc)\n", + "\n", + " P = R*T/(V-b) - a/(V*(V+b)+b*(V-b))\n", + " return P\n", + "\n", + "# Calculate the molar volume given P, T for PR EOS in m^3/mol\n", + "# Note that we can return multiple real roots (up to three)\n", + "# The largest and smallest will be the vapor and liquid, respectively\n", + "def PR_volume(P, T, Pc, Tc, omega):\n", + " # Calculate a, b, A, and B\n", + " a = calc_a(T, Pc, Tc, omega)\n", + " b = calc_b(Pc, Tc)\n", + " A = a*P/R**2/T**2\n", + " B = b*P/R/T\n", + "\n", + " # Definitions of alpha, beta, gamma in SIS Table 6.4-3 for PR EOS\n", + " alpha = -1 + B\n", + " beta = A - 3*B**2 -2*B\n", + " gamma = -A*B + B**2 + B**3\n", + "\n", + " # polynomial with coefficients in increasing order: c0 + c1 x + c2 x**2 + ...\n", + " p = Polynomial([ gamma, beta, alpha, 1 ]) \n", + "\n", + " roots = p.roots() # returns all (possibly complex) roots of Z\n", + " real_roots = roots.real[abs(roots.imag) < 1e-12] # filter real ones\n", + "\n", + " # Convert real values of Z to molar volume\n", + " V = real_roots*R*T/P\n", + "\n", + " return V\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "id": "2f55b187", + "metadata": {}, + "source": [ + "## Example calculation\n", + "\n", + "Given the PR EOS, calculate the molar volume(s) of ethane given different temperature and pressures for ethane." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "fd028ebd", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'PV diagram for nitrogen')" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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B9ed2Bmq2luSg8P17INeGIPH//tPt6+pa6nHdt/eK42UXvgmZT2e9Xduqw91r9oEM9d85fYJwBi789jsc++BDhM+djfS77nD7fuYcrsCn72xGWIQ/brnf/a5hV75+91kUHc3E/L9cjZFT5np0G/lL96CluB5Rp6cicFSU0+tTzAC9GaDih8w07QVlGnTN2P3bo1R6YuxJj0CpDvDo/jEMw/QVx+v1u087PWT+R0/sXdOoyYOCzNCY/oesI+vH2KVb4SMzWT61G213QhTyTksovcG6G6dRmCzy6RZbDaZASoXWFMOgrzfloLlLaLjJnr+6qqnbffWE6ASTH0pJ3hGPb8M3zmSH0FzouHMjQX4sUuJ51/BMS+RKX/hqTUVUQ80xj+8fwzDMYKdPix7pCb1rQCI5H3NAXv9EJusoero2CKVsny4FjYSyoygidEbr66hkPqLLQ7ToTUWTQmvqVugbGj26n4HBvpDLZTAa2lFX0/OQy5iEYeK8JC/b49vQDOkoegpcK3oIym8iSOjvCG1wsjhvqDnq8f1jGIYZ7PRp0UNOx5MmTRJp5pSATGGLr7zyigg5pNRhpv8hpTp3bZ74yOSOOz2WRY9B1+02fTu6PS36Lp2ehnqPi7OQMFO3p6rCs8LJkqiOTk9VWRFam5s8ug3fjqJHV9UMfZP1Y2APcgl3pejxDzG9SWio5k4PwzBMvyx6aFPr3//+N6ZPny5C80jETMUPaXxoxMX0P2QdfzHdxlsd4yt7RQ8VNmq5Shy3dSl6CI3CdMPNHZ0eZYC2R50eIqRjxFVV4VmRYomfNhBBoSazzJJ8z7o9cl8lVB2FWIuLI67Y2Fjx2JGgmfyr7KENNhU9TfWFMBqsReYMwzBMP9neCgoKwqOPPiq8enbu3Illy5aJUD1mYGl64CONt+xvN6kUpqKnRd9doa/p0umR+3cUPY2NaDeaPucuoeH+Xuv0WOt6ejDiknQ9BbUuXV+tVpstGBzpelSaECjVQVR1orE23+P7xzAMM5jp86KHGVjI7Wh6fCRND9rtdns0Djs98i6aHlPBAqMRhmbPNDnSeKvaa0XPsJ6LmSVdj4udHldHXNQNkro9LGZmGIaxDRc9jIeanq7bW1LRY3/EpVaoHXR6TH+KLR2dIrlaDZlKZfbs6VGnp7Ln4y0iOtHU6SnNz/G4+yQVPa2lDTC2Gdwqehx1eghz0VPNYmaGYRhbcNHDeLa91XW8ZbGSbm/EJWl6Wm1oTsydHl1nMaHQanu4tm4qeqoraUTW87X1sKg4KFVqtLU0o6q82KPbUAZpoAhUi/18V7s90gZXRUUFmh10vbQdYubG2ly0t3tWlDEMwwxmuOhhPNL0dN1Yd63T01H06LsXPebtLYuCSWEWM3tW9ASF+MJH5gO9zoj6+hb0FJlcjsg402p4cW6Wx7fjlxAkzpvzXHNQ9vPzQ2hoqNNuj682BjK5CgZ9C1oaSj2+fwzDMIMVLnoYt+ho9HTv9FgUPXBa9DgYb3VoegiFv3+Pih7y6QkO8fXaBhcRm5wuzsmd2VN8E4LFeVOea2Jml3U9Mjn8gxLFMfv1MAzDdIeLHsYr5oRC69MRLdFux6BQLVfbHW+pO4TQzR3bW9adHs+FyOYRl5fEzEOS08xFj6cJLn7xpk5Pa1kDDC363tH1sJiZYRimG1z0MN7R9Ljg1aNSKB2Mt2x1eno23rKMo/DW2npU/FDIZHI01FajvqZ7eKorKALUUIb6mnQ9Lq6uS7qe0tJStLW1OdX1sEkhwzBMd7joYTzz6bHV5ZBGXF1iJiQ0Djo9XVfWvaHpIUI6Oj2V5d4pekjIHBmX1OMRl9TtcVXXExgYKE7UXSoqKrJ7Pf+gBCo/0dZSjbYW18dnDMMMDt555x1cccUVVp87ePAgLr/8cowfPx7z58/Hxx9/bHW50WjEa6+9hjlz5ojrXH/99cjPH5x+X1z0MJ6trNvs9EhRFEYPND3W5oSW21s6D7e3iIgoU4ZXeYlncRb9UdfjMHxUoYFvQKw45hEXw5xYLF26VEQ5WVJdXY2rr74aCQkJ+Oqrr3DLLbfgxRdfFMcSb731Fj777DM8+eSTwiCYiqDrrrvOYVd5oMJFD+O98ZaUtG5P0yMVPTY7PTbGW9qed3oiorXm8ZZe55ovjjNik0y6nsKjh3u8wdVW0QR9Y5uXw0fZr4dhTiRo7H3jjTeKYqZrWPcXX3wBpVKJJ554AkOHDsX555+Pq666Cu+++664nAqbDz74ALfddhvmzZuH4cOH4+WXX0ZJSQlWrVqFwQYXPYxHRY9NDa85mMueT4/ahZV1o1eLnoBADTS+SnF/K7w04opJSqWWF2orS9FY59p4ylYOlzrSNHprzq91q9NTXFwMnc5+YGlAiJS4nuPRfWMYZmCRkZEhCpuVK1d2y63cvn27iHZSKDq91CjvkgK+yfvr0KFDaGxsxIwZM8yX0yh95MiR2LZtGwYbFo5yDOPGynq7g06PBz490nhLChy1Tlpv6NE4LiJKi/xj1WLEFR1rckTuCWqNHyJi4lFelIeiY4eROtazrDjf+CC0ljWiKa8GAcNN+VqOCAkJgVarRUNDgyh8qF1tC21H0dNcXwK9rgkKpUnMzTCMc0g31+qiW7q3UavkZgmBO5BOh062oI5NWpqpOy0RGWkKT6bnEbqciImJ6XYd6bLBBBc9jEedHoMjTY/dlXXn461WKyFzQI9X1omI6ABz0eMtYpPSTUXP0UyPix6/hGDU7ChCs4u6HnoyjI+PF6JEEhnaK3qU6kCo/SLQ2lQutriCI0d6dP8Y5kQseO57YwMOHqvqk+8/IikUz/19tkeFjz1aWlqg6oj0sQwyJlpbW80u77auU1s7+JYheLzFeCdl3Wp7y9AjIbPkf+ONTo9U9HhfzCzpejJ7lrjuA+hqWqCrdc0xmooeIi8vz+H1AkJSxHlDNY+4GOZERqPRdBMkt7a2mt3e6XLC1nV8fU3mroMJ7vQwHmp6PBlvOV9Zp1ttNRjFx5Kmx9jSAqNOB5nS5PPj8QZXqfc3uKpKC9HUUAc/rftjM7laAU10AFqK64Wuh3K5nCF1d6jtTE9SXd+dWY64Kgq3oJ6LHoZxGeqwUKdloI23HBEdHY2ysjKrz5V1fBwVFQW9Xm/+nGX3mD5OTzc9zw0muNPDeN+nx1ngqA1Nj0rmQ00Pq7V1hV+nFkXf6PmIKzImwJy2rvPSk5mvfwDCY0xdl8Kcg57fTscWF+l6XCEoKEiIDGml1JFfj9TpaaovFFlcDMO4BhUdGnpD0gcnbxc8xJQpU7Bjxw4YLJ6XN2/ejOTkZISFhYltLdIKbtmyxXx5XV0dDhw4IL52sMFFD+NFR2bJp8f9lXXxRNPFoJBuT97D/C3CX6uCr59StJEqyno2KrNkSMoIcZ5/xPOih3Q9BOl6XI21cGXEpfINgUoTQr8MNNbkenz/GIYZ2NCKOi0/PPjggzhy5Ai+/vprfPjhh/jb3/4mLqduMRkX0rr7mjVrxDbXHXfcITpEixYtwmCDix7Gw05P98ukpHW74y25fU2PvSgKpeTKXN/DDa5e0PXEDzMJhAuyD3h8G5rYAPjIfaBvaIOu2rWOjNSCduaYqu3o9tSzXw/DnLBQN+c///kPjh49ivPOOw9vvPEG7r33XnEsQR49S5YswUMPPYRLLrkEcrkc77//vliDH2ywpodxC6n7alPI3JG9ZXe8Ze702PaYUYtOj84qdFQu8rdKeyxmjowOQF5OFcq8LGb2kclQV1WOuuoKBIaEu30bMqUcmthAoemhEZeKMrlc7PSQIRmJDaVNjK4EhKagqngHi5kZ5gTi2Wef7fa5sWPH4vPPP7f7NVTk3HPPPeI02OFOD+OVlHWXOj0dQuY2fZvNUY5kUNhqsNHp8dYGlxfFzCq1L6Liknvc7fFL7IikOFbt0vUDAgIQHBwsHkNH7sxSp6exNg9GO4UmwzDMiQQXPYwXYyicaHo6xlvtaEebjRdhyavH0qDQG5oeonO85T1NDxE3VBpx9UDXk2Sh67FwpHal2+NoxKX2DROePe3tBlH4MAzDnOhw0cN4pOlp78H2lvOkdaONTk/PDAojO9bWa6qa0NZquyjzhLihI8xFj6tC5K6oo7SQ+ypgbDOI9XV3dD2OxMykZZK6PTziYhiG4aKH8dicEA62t2wXPTKZDEq50r5BodxB6GgPhMyEn1YltriI8lLvdXuiE4ZBrlCiqb4W1WX2V8gdQcWJb2KIOG48VuNWp6e8vNzsqOooh4v9ehiGYbjoYdxEyhQ1ODQntN9JcRRF4au0Xlm3Knoae16o9MYGl0KpRCwFkIrVdc91Pf4dI66mo67pevz9/REaGiqOXdH1NNTkwujg98IwDHMiwEUP4zVNDzo6PTbbQC6Ejqo7vt5ye0vhhZV1yw0ub4uZifhho8R5Xtb+Hut6WksbYGjSeW3EpfGPgkLpj3ajDk21jlfcGYZhBjtc9DBe0/SYOz12AkeduTLb8ulRiJX1nguZe6vTQySkjRbnhTmHYNB7tiWl0KqhCjc5UDfl1nhV1xMQOkwc11cd8ei+MQzDDBa46GG81+npmH3Z0/RYe/XYDx1ttez0BJoKFV1tndeKntKint+WJWHR8fALCIJe14aiY1ke345fkqTrqXZZ10NFTVVVFerr7RdyAaFDxXldVbbH941hGGYwwEUP47XsLanTAw87PbZW1lUhprFPW41r3Q9HRMcGCnPF+rpWNNR5L4+KCo+E1NE9HnH5J5uKnqZjNS5tglE6MgUGErm59qMmpE5PY80x9uthGOaEhosexsNOj/vbW1ZJ6zaLng4hs6U5YXCIOWnd4GBLyRVUagXCI03jsqKCWngTc9Fz2POiRzMkED4KGQyNbWiraHLpaxITE52OuNR+4VCqg4RfDwmaGYZhTlS46GE8i6Fw5NPTw/GWpU+P3FcDWUfMQltNzwuVmDhTqnmxl4ue+NRR4sGpLMlHQ51r46muyBQy+MZ3pK67OOKSih7q9NjrDpl0PaYRF+t6GGZw88477+CKK67o9nl6jhg/fny3bU+Ksnn88ccxY8YMTJgwAXfddZcYmQ9WuOhhvOjILK2sG1wYb+nsxlBYCpnpBVsZbCoEdF4YcfVW0ePrH4DIIUniOD8ro8dbXK769cTExEChUKCpqQkVFRV2r8diZoYZ/CxduhSvvPJKt89nZ2fjmmuusenp9dhjj2HDhg14/fXX8dFHHyEnJ0cEkA5WuOhhvKfpkcZbdhyZrcZbNjo9ahvmhISqY8TlnaLHVFQU5/f8tnpjxOXfIWZuKaiFUWf/cZSggkcyKnRJ11OXD4Pee3omhmH6HgofvvHGG/Hiiy8iKcn05suy80MJ6kFBpjd8Xb9uxYoVIl198uTJIpj0pZdewrZt27Br1y4MRrjoYTzq9LQbHY23PFxZN5sTGq1GNUpJzFztBTHzkECgF8TMRGLaGLOY2eig8HOEMtQXigA12g3tInndndV1R0WP2jdEZHGh3YiG6qMe3TeGORGg5x5jW0ufnDyNssnIyIBSqcTKlSsxbtw4q8tWr16NZ555Bvfdd1+3r9uxY4c4nz59uvlzycnJYkGCCp/BSMe6DcN4Y3vLFSGzg+2tjk4P3XKrwWjW+Jg3uKo908rYEjNXlDYIMXPaSA28RVTCUGj8tGhpakBxbhaGpAx3+zZonOeXHIy6vaVC1+OfYnJddkXXQ7N6vV4vuj/2uj2thZVixBUUYcoMYximEyo6ij5+EK0FmX3y/dVxwxH716fE84A7zJ8/X5xssXz5cnG+ZcsWm52ekJAQqDt0kxKRkZEoKSnBYKRPOz30S0hPT7d5WrBgQV/eNcYTTY/cDXNCGzEUKrmMmjDdQ0eDg7023upNXQ9liyWmjxXHRw/t7vHqemNOtUvv/MLDw+Hn5ycKnuLiYrvXY78ehnEF9wqOgUxzczNUqs4gaAkqgkjgPBjp004PKcVJQGXJ7t27ceutt+Lmm2/us/vFuNLpsXWhOzEU3f+h6N0NdXfIp8ek6zGFk6rMRU+t14qefTsKvV70EMkjxiNz10YcO7gHs8+42KPb8EsMho/cB7qaFuiqm6EKNTk124MeN+r2HDx4UIy4JI2PvaKnub4Iel0TFErHt8swJxr0v0SdlnZd37zg+yjVbnd5eoJGo0FbW/c3oFTw+Pr6YjDSp50eqjAjIiLMJwpRpNnjeeedh/PPP78v7xpjB8v/x67dns7xlvNOT4uNTo+9KApvanqI2F4WM8vkctRUlKC63H7XxREylQK+Hd2oxuwqt1fX7aFUB4osLhog1nO3h2FsQkWHTKXpk9PxLHiI6Oho1NTUdCt8ysrKzMang41+JWR+++23RbvNluCK6R/IO8ZbNnU9Mte3t9psaHpMl0sGhZ3dos5OT881Pb0tZlZpfM1anqMHPR9x+aV0jrjcETPTjL6lpcWF1XUuehjmRGfSpEkwGo1mQTNx9OhR8TwyZcoUDEb6TdFDZkgffvihWLsL7niRY/qvpsdmp8ecsm6/6NE4GG+ZLrfR6Qnu7PR4ut1wvJyZieTh48X5sR4UPZKAubmwDoZW+50ziYCAAISGhorHx/HqOpsUMgxjgro5ixcvFivrpLHdu3cv7rzzTkydOlUYGQ5G+k3R89lnn4kn7osuuqiv7wrjgqbHVqen05zQ/ou0yixktp0BZcugUDInbNfrYWh0LZ6hr8TMRNII05MFbXA1N3qWDq8K8RXr6ySeoiwuV6BVU+LYsWNOih4ftDSWQtfq3eBVhmEGHk8++aRwY/773/+Oa6+9FikpKXjttdcwWOk3RQ8ZJJ177rlCWMX0X3wcdHogdy5k1pizt+x0ejpuo9kyikKthtzfJLpt89KIqzeLnsCQcJG8Tl2XvMN7vbDF5ZquRzIlo6LHXkeMxMt+AbHimEdcDDP4ePbZZ/HJJ590+/y0adOQmZmJuLg4q8/T5udTTz0lfHno9K9//UussQ9W+kXRc+jQIeTn5+Oss87q67vCuNXpge1Oj8GVTk+by+MtQhnUoevxspi5KM87I7OuJI8Y12Ndj/9Q04irycXVdXoyI4+ehoYGJ5EUPOJiGObEpF8UPdu3b0dYWBiGD3ffzI3pO01P1xdiV8wJOzU99oqe7uMta4NC73n1yOQ+aKhvRU2Vd0ZmliSPmCDOcw/vg0HvXJNjC98hgZCp5DA069Ba4nxMRgWPJGgmMaIzMXMdFz0Mw5xg9Iui58CBA8KQkOn/WNQ83cdbLsRQqDqKnhZDq83uha2kdSuDwlrvFD1Kldw84so/6p2RmSUUPuoXEARdawsKj3rm7uojl3UGkGa7P+KyhzYkmSpUtDVXobWp0qP7xjAMMxDpF0VPeXk5b2wNEMhHQppw2dvecrSyrpGbND1U8OhtFEfSeIsMCnuz00PEJ5nGR3lHXSso3MFHJkPS8HFe2+JqdPE+SmLmwsJCu46qcoUG2iCTr09d5WGP7xvDMMxAo18UPe+99x5efvnlvr4bTA/ztzq3twxOOz12Q0c7Oj2t9jo9Xix6EpJNBUX+Me93eixX1ymSwlPdkF+HmLm1tBH6BucusfTmgU7kvZGXl2f3eoHhaeKcix6GYU4k+kXRwwzU/K2uFzj36VHI5JB3XM+WmNlpp8dL+VtEfEdBUV5Sj+Ym2xqjnhA3bCTkCiXqqytQWVrg0W0o/FVQR2vdMip0ZXU9MCzNLGZ2VKQyDMMMJrjoYdzGx16nx4XxFqGRNrhsrK2bNT1dbsPboaOEv1aNsAj/Xuv2KFVqxA8bKY6PZuzy+Ha0HVtcjUcq3dL1kJjZXofJLzAOcoUvDPoWNNble3zfGIZhBhJc9DBuI5d5nr1lOeKyZVBoT8is6vCN8Kamh4iXRly9oOshUkZNFOdH9m/3+Db8h4WJ86bcGhjbnHdlKHBULpejvr5eOJ3bwsdHhsCwVHHMIy6GYU4UuOhhvKbpcWW8ZSlmttnpkdvx6elwZdbV1jrtJHmi68nrhQ0uImXkRMhkclSW5KO6vMSj21CF+0ERpEa7gdyZnd9PpVJpNiBztLoujbi46GEY5kSBix7G8/FWt+0t50Jm605Pm+sr60GmooeERLp6z6IdHOl6ivJroO9SaHkDjZ8WcUNHiOPs/ds8fry1Hd2ehiPubXE59OvpKHoaa/Oh1zV7dN8YhulfvPPOO7jiiiusPrd27Vqcf/75mDBhAubPn4/nnnvOKpiYNj0ff/xxEUdB17nrrrvsdokHOlz0MJ4Lme2YE8JlTU/3osdP2WlOaHn7MoUCisBAr+t6QsP94a9VwaA3ojjf+5EUxLAxprTiI/s8K3osR1wUSdHe1R/Jga6HVtd1Ots5Z2rfEKj9IqhKZXdmhhkELF26FK+88ko381/K1TrllFPwzTff4NFHH8WPP/4oihyJxx57DBs2bMDrr7+Ojz76CDk5ObjtttswGOGih+nB9lbX8ZZrnR51R/5Wi43xlr+y4zboBb5Nb3ODy5tFD3VRJF1Pb/j1EMkjJwrfnorifNRUlHjuzqxRwNiiF8nrzqDE9cDAQBgMBl5dZ5hBTmlpKW688Ua8+OKL5jc8EsuWLRO5W3R5UlISTjrpJNxxxx347rvv0NbWJr6Wsi8paX3y5MkYO3YsXnrpJZHDtWuX5wsY/RUuehiPNT1dJT3S9hZ1DtrbjU7HW202xltymQ+0Hd2eui5FjzTiaqv2rv6mt4seX//OEdeRfds9Dnr1d2OLi4o5d1bXuehhmIFLRkaG0PKtXLkS48aZTFElrrnmGtx3331Wn5PJZKIDTDl9O3bsEJ+bPn26+XJ67oiKihKFz2DD9LaaYTyIorAbQyGNuDo8d+yNt1rs5G9pVQo06Ayo79bp6Z0NrsQO1+O8nCoYDUbIpPU0L4+48rMyxIhr8slnenQb2mGhqM8oQ8ORSoTPSzZrq+xB7+r27NljXl23df2AkKHw8ZF3RFJUQO0X7tF9Y5jBAv2v2AtE7m3UcpXT/2tbkE6HTrYYOdJkmyGh0+nw4YcfYvTo0aIjTJ0eSlVXq00deInIyEiUlHjWme7PcNHDeF/T07G27gOl250eIlCtRElja7eiRymNt2q9q72JHhIEja8SLc06FBXUIi7RVFx5e4tr3YqPUVGch5qKUgSHR7l9G36JIfBRyKCvbUVbRRPUHR5D9qDwUXpHV1tbi+rqavEE1xW5Qg3/4EQ0VOeIbk8EFz3MCV7wPLLmRWRW5vTJ908PH4on5t/lUeHjCnq9Hvfeey+ysrKE/odobm6GStXplC9BRZC9KJuBDI+3GK9peszjLVH02B9vdXZ6bP9DBahMtXh9q87meMubURTSz5OcahIK5xwuR2/g6x+AuJSOEZeHW1yUuO6XEOTyiIueyHh1nWHcpJcKjr6GRlk33ngj1qxZgzfeeENodwiNRiO0PV2hgsfX1xeDDe70MF706bH4czI4T1pvszPeMhc9doTM3tb0EClpETi4twQ5hysw9xRTEdArI64jGcimEdc8z0Zc/qlhIo6CVtdDZyQ4vX5KSooQMmdnZ2PSpEl2i56iIz+jripbiNAtO3YMcyJBHRbqtAy08ZYzysrKcP3114ttzvfffx9Tppg2Sono6GjU1NSIwsey40NfQ7qewQZ3ehjv+fTQ531kTje4NNL2lsHdoiekV8ZbREqaaaxTkFuNtlbHjtIef49Rpi2u8qI81FaW9Sh1vbW0Abo6563noUOHinN6srP05bDEL3AI5Eo/GCmSotb+phfDnAjQ8xg9R/XFqTcKHhpvX3nllcJ3Z+nSpVYFD0FvhiigWBI0S51h0vp0ve5ggIsexmuaHlejKOjdjMNOj9qkBarvUnxI+VveFjITIWH+CA71g9HQjmPZrmVceTbiGt4jzx4KINXEmfyKGrIqnF6fEtdJy0NPava2uEQkRShHUjDMYOSZZ55Bfn4+XnjhBfFcUF5ebj6RpQV1cxYvXixW1rds2YK9e/fizjvvxNSpUzF+/HgMNrjoYdyG1soJm1vpcucGheqO8ZazTk9dm85m0aOvq4NRr++1bs9RF4oJTxnaYVSYtXerx7cR0HE/Gw67VpxJ3R4acTnT9dRWZHp8vxiG6V9QUUNGhLSxRd2e2bNnW52Ki4vF9Z588knhxkwmhtdee60Yi7/22msYjLCmh3EbqQNrsNnpUQhjQUfjLbWD7C1H4y1lgJbaTKYoitpaqMNM4mNvFj07N+cJXU9vMXTUZPzx7adii6uqtBChUUM80vWUr81BS2Ed9A1tUGi7b15YQk9g5LdBnR7q+NBGV1cCw9PFeVNdAXStDVCqtW7fL4Zh+p5nn33WfEzBw9S5cYafnx+eeuopcRrscKeH8Z4js+UGl6Oix4mQOVBtu+ih2zZvcNV4X9eTNCwc8AHKS+pRX2db/+INo8KE9DHiOHP3Zo9uQxmghiYmQBw3ZDnv9sTGxooNDdL0kLbHFipNEHwDYoUXdl0ld3sYhhmccNHDeG97S1zYoenp0XjLpOlp0hmg77L63psbXH7+KsQMMRVVR3ux25M+foY4P7xns8PVfkdo0zoCSF24n9TZoW6PsxFXULhJb1Rbccij+8QwDNPf4aKH8bjTYyv40htCZgodlVyfG7qOuIK9n79lS9eTndk7fj1E8ojxUKo1qK+uQHGeZ0Gf2o772VxQC32j8/VaqeihIEFnRU9dRabT/DSGYZiBCBc9TK90ehyPt6SV9Va7t69V2llblza4qrzf6SFSR5h8KbIOlolIit5AoVRh6OjJ4jhz1yaPbkMZpIE6SiuSWRuPOM8Mo0gK6viQMzOtrtrCPygBcoUvDPpmXl1nGGZQwkUP0wNNT/fLfOTOk9adaXqIAEnX02VtXR1h6nC0VvTO+CkuKQS+fqZIirxjvVNYWY64aHXd4OEmmtTtcWXERZbykjuzvW4PdekkQTOPuBiGGYxw0cN4tdPj44qmR4qhcOB6Kul6uiatqyMjxHlrqWfmfq4UdKkjTd2ewxml6C2GpAyHX0AwWpsbkXvY+XaFI11PU14NDM3W6/2erq6zrodhmMEMFz2Mxyvrtra3zFEUjjQ9HZ0eg5GEygaHa+tdNT3qyEhx3lree5qb9FFS0VMiAgh7Axo1pY2f1qMRlyrEFyoKHW2HiKXwhjtzYBh1enzQXF+Ethbvb8gxDMP0JVz0MN51ZJa73ulxZW29q0GhOqKj01Ne0WsFCeVwyeUyVFU0obKsEb1F+viZ4vzYod1obWny6DYC3NjiCgoKQlhYmHjc7AWQkj+PX6BpDMar6wzDDDa46GG869Nj3t6yX/QoZArIOjK67ImZteak9S6dnvAw0WoytrX1SgaX+B4aBZKGmYqJzIwS9BbhMfEIjYwVmp7s/dt7pOtpyq2BoUXv3RFXOY+4GIYZXHDRw3is6Wn3cHuLQvWcra0Hdmh6um5vyZRKqEJDelXXQ6SN6n1dDz0OaRNm9GzEFeYnTjC2ozGnyuXVdXJnJot6WwRFdKyuVx7m1XWGYQYVXPQwHhc9tja6zeMtB5oeK4NCe6GjdqIojpeuJ61DzEyp640Nrb33fcZNF+eFRzNRV13R60aFMTExwnK+tbVVhBDagsZbCqU/jIZWNNTYDillGKZ/8s477+CKK66w+hzlb5111lkYO3YsFi5ciPfee8/qTSvF01DW1pw5c0TI6PXXX2/3+WGgw0UP4zZSdJPt7S2FU00PYe702HNlNkdRdN9K0nQUPS1lvVf0BIX4InpIIOhH7M1uT2BIOOKGjqS2GQ7t2NCzEdfRahhtFIldBdTSiOvIkSP2U9fNq+sHPbpPDMMcf5YuXYpXXnnF6nPr16/H3XffjQsvvBA//PAD7r33Xrz11lv4+OOPzdehjz/77DMRPLps2TJRBF133XVoa3NufDrQ4KKH8aqmx5XxlpVBoZPQ0boumh4rr56y3htvESPGxojzjN3Fvft9Js0W5wd3/ulRLIUq3A/KEF+0G9rRkO18xDVs2DBz0WNPDB4UPkKcs66HYfo/paWluPHGG/Hiiy8KI1JLysvLccMNN4juT3x8PBYtWoSZM2fizz//FJdTYfPBBx/gtttuw7x58zB8+HC8/PLLKCkpwapVqzDY4KKH8UiLQrQ79Olxbbxlt9PToelpNRjR1mWOpo7qGG/1YqeHGDWeAjiBo0cqenXElTJqIlRqXxFLQWMuT34fAekdRoWHnI+4EhISoFKp0NjYiOJi2wVdYHga/TLR0liK1ibnhRTDMH1HRkYGlEolVq5ciXHjxlld9pe//AW33367ODYajdi4cSO2bduGWbNmic8dOnRIPBfMmGHSFxKBgYEYOXKkuN5gg4sexm3kPg46PWZNj2vjLXuaHl+FDIqOjlJXXY+0tt7Sy52e0HB/xMQFiYyxQ/t6b4tLqVIjddxUcXzQ0xHXcNNj0ni02qlRoUKhQHJyssMRl0LpB22w6R1jbfkBj+4TwwxE6M2coaWlT06e2nDMnz8fr7/+uujk2KOoqAhjxozB1VdfLc4vueQS8Xnq6Eh6P0siIyPNlw0mOpzkGMZLPj1mc0Jn4y1T0dNqZ7xF3QtaW69p0aG+VYcwX1U3TY/k1SN1nnqDkeNiUFxQi4zdRZg0I7HXvs+ISXOQsfV3sbo+9+zLoNb4ufX16nA/qCL80FbehIasSgSNjXY64srMzBRFD4kXbT2GwREj0VCdg5ryA4hMNI3gGGYwQ88n++5/EPWH+sajKmDEcIx55qleeU6j7s3y5cuRm5uLp556Smh7SP/T3NwsLqfub9fomtpesgXpS7jTw3g3e8sFnx7LTk+rgyiKQDsbXJKmx9jSAn19PY7HiCs3uxINdbZdjL1BVHwKQiJjode14chez1rKAR3dnvpDzsd+1OmRy+UigLSystLmdYIiRppurzobBp3piZFhBj29+CaqL9FqtWJkdfrpp+OBBx7ATz/9JNzZNRqNuLyraJk2PH19fTHY4E4P43kMRbv98RYMrgmZWx2FjgpdT3N3rx6VCsqQYOiqa4SuRxkYiN4iONQPQxKCUZhXgwN7izF1tmks5G3onR0Jmjf+9AUO7liPUVNPcvs2AtIjULk+F815tdA3tEGhtX7n1vVdXGJioggfpW5PeLipkLRE4x8BtV8EWpvKUVt5GKHR1loBhhls0P8hdVqMrb2n4XOETK32epdn+/btootD6+oS6emm7cyysjLzWIuOSe8nQR9L1xtM9ItOz4oVK3DGGWeIOePixYtFBcoMgMBRm47MUsq6vsedHkdePZ1r672r67Hs9vT2Flf6hJnwkclQkpeN6jL3v5cyWANNTIDLnj3SFldWVpbd6wRHmro9teUZbt8fhhmIUNEh12j65NQbYy1aTX/66aetPrdnzx6h7aNNL9rWoi7Qli1bzJfX1dXhwIEDmDJlCgYbfV70fPvtt3jwwQdx2WWXCQ+BM888E3feeSd27drV13eN8UjTI3NtvGXW9DgoeqT8rdbuwlxzBlcvb3ARI8fHUAYn8o9Wobqy97K4/AOCkJhuejdG3R5PCBjRMeI66PxxIb8eepKld3T0JOdoxEWr6+zOzDADj6uuugp79+4Va+i5ubmiqfDCCy/gr3/9K0JCQkQX6PLLLxfr7mvWrBHbXHfccQeio6PFevtgQ9bXorFXX31VPPhU9FBr7aabbhIeAlu3bu3Lu8a4UPTQVlM35K4KmdU96vSoI49f0RMY5IuUVNP327O9oFe/18hJc8T5oZ1/wuBk7d+uUaEP0FJcD12NYw0SOTMPGTLE4RaXNigRcqUfDPpmdmdmmAHIxIkThUvzhg0bcPbZZ+P555/HNddcg3vuucd8HfLoWbJkCR566CGx1UV6v/fff1+swQ82+lTTQ0nPJKQie2xL6MFmBkAMhUOfHheFzHa2txzlb4mvP47jLWL8lDjkHC7H3u0FOOmUNPh0FH7eJnH4WPgFBKGpvhZHD+zCsDHutZdJx+MbHyR0PfWZ5QidZn+FVRpxFRQUiBEXPTna+n2SUWFV8Q6xuh4QanJzZhimf/Lss892+xxtaNLJHlTkUBFkWQgNVmR9XfQQTU1NuPbaa4U50gUXXIC1a9f25d1iepSy7qKmx4Xxlr2kdUIjdXp6MX/LkvQx0SJ9vaaqGbk5tredvIFcrsDIyaYnp/1b1vX6Fpek66E3H/R/aAtaXSdodd1THxGGYRic6EVPQ0ODOL/vvvuEloessMkl8uabb8amTZ6lTjPHM2Udnm9vubKyrnYhdPQ4jLcIpVJuFjTv2dbLI64pJ4kVuYLsA6ipcD/3S5saRr8k4dnTWmG7kJEICgoSJmRUzGRnZ9t1Z/bxkaO1qUJscjEMwwxU+rTokeaF1OU577zzMGLECGGXPXfuXPz3v//ty7vGuLKybrPT46JPjxNzQmtNj65bh0Hy6jE0NUHf0HviYkvGTY4T57S63maj++TNENLE1NHiOGPb725/vdxXCf+kYHHc4EK3JzU1VZwfPnzY9u0pNOaxVk0ZuzMzDDNw6dOiJyoqSpynpaXZ1Bkw/RO5g+0t1wNHXV9Z1xnbRQaX1X3QaKAMCjyuup64pBARTaFrMwiH5t5k9LSTzVtcBr3jWAlHsRQ04nI2kpL+//Ly8szurPa3uLjoYRhm4NKnRc+oUaPg7+8vPAMsoXecliZJzEDS9Mhd9Olxbk6oVsihkstcGHEdn6KH1rsndAiDd2zO69XvRavr/oEhaGlsQPb+HW5/vXZYGHwUMrHB1VpiGiPbIzQ0VJgTUhihvRGXpOuhDS5dm+PbYxiG6a/0adFD9tfXXXcd3nzzTXz//ffinea///1vEXlPoWhMPzcntLW91bGy7mx7S+NCp8ey21NnY5xk9uo5TmJmYvyUeMjkPijKqxGZXL2FTC7HyClzxfH+re4LmmUqOfyHhYnjugPOi0Kp22NvxKXyDYFvAK23t3O3h2GYAUufmxOSaPnWW28Vxknkyvzzzz+LtNhp06b19V1j7ODjKGXdxfGWyoXtra66HntePS2lx6/o8Q9QY+RYk2379o2961szaspc8VgXHc30yKE5cGSEWdfT3mU8aK/oIfOylhbb/j4hUSadUU3pfrfvC8MwTH+gz4segro65AS5f/9+4dC8cOHCvr5LjEuOzN0v85G7Nt7SSOMtFzs9tqMojn+nh5DS1vfvKkJLs/t6G1fRBoUicfg4j7s9fkkhkPspYWjWo/FYtcPrhoWFmUdc9owKgyPHiPO6ysMw6HsvfJVhGGZQFz3MwKIjacKmQLZT02N0qdOjM+jEC609AtUdBoWtfa/pkUhICUVEdIAQNO/d0buC+9FT55kdmimB3R3IQNEcS5FR3uMRl8Y/UgSQtrcbRCwFwzDMQIOLHsargaPoMCeEkwgFTYdPT8+iKI6vV48EjZwmzTAJ7bdvzO1Vw76EtDEICA5Da3Mjjuzb7vbXB4w0PUaN2ZUwtOh7NOKinzskytTtqSnb5/Z9YRiG6Wu46GE8j6HogU+PUq6ED4VEuVj01NnQ9GiiTC/o+oYG6OwEZvYWYyfFQaWWo6K0AdmZvVd0yWQys6A5w4MRlzrSH6owP7Qb2p0mr9OIi04Ot7giTbqe2opDMBp6b7THMIxnUM7WFVdcYffyhx56CPPnz7f6HP3Pv/baayKqYvz48bj++uuRn5+PwQgXPYx3U9YlTY+T7S3qGqhcMSjscGVusNHpIa8eSczclH98fZ00vkpMmGrq9mz5wxSn0luMmDxHpNcX52ahosS9JyJ6nAM6BM31Xtji8guMg1IdBKOhDXWVWW7dF4ZhepelS5filVdesXv56tWrsXz58m6ff+utt/DZZ5/hySefxLJly0QRRJvVbW3ujdQHAlz0MD1IWbd1oZSy7tyxWBpxOdrgCugIHbW1sk74xZtckpv7wMxy6pwkkWhOnZ7ykvpe+z7awBCkjDSFge7btMbtrw8YYeqINRfUQVfrWICcnp4uzo8dO8YjLoYZIJSWluLGG2/Eiy++iKSkJJvXKSsrw8MPP4ypU6dafZ4KG4qAoqT1efPmYfjw4WKbuqSkBKtWrcJgg4sexvMYCptCZplL4y1Co9SI8yZdi0eaHsI3Lq5POj1ESJg/ho+OFsdb1vdut2fsjAXiPHPXJrQ0uxe7oQxUi+R1ov5guddGXCKA1IXfM8MMJEijRzEzfXHyVB+YkZEhYp1WrlyJcePG2fyZ7r//fpxzzjndip5Dhw6hsbFRBH5LBAYGYuTIkdi2bRsGGx1vyxnGdeQOhMw+ClNnpt2JkJnwV/qK8yad7egDy6KnoSN/S/II6tbp6YOih5g+NwWH9pVg7/YCnHx6Ovy1plV8bxObnI6w6DhUlhTg4Pb1mDDnNLe+PnBUJJrza4VRYci0uG6PY9cRFwX+0oiLXNO7og1JhkLpD72uEfXVOQgMM2V3McxAh55j/vvGRhQ4sXjoLeKTQnDV32c6/P+0BWl0uup0LPnwww9RXl6Ot99+W2h+LKGODhETY/Ifk6AgYumywQR3ehgva3pMI6t2J6aDhJ+56GlyWvQY2oEmvaFfdXqI+OQQxMYHQa839qq2h54Ex84w+Vft27TW4Zq/LbRpHbEUVc1OYyksR1y2srh8fGQIijQVQzziYgYb7pUb/R/q5Lzxxht44YUXoFJ1bs1KSP/jXS9Tq9VobbWvtxyocKeH8aojszudHj+V806PUi6Dr0KOZr1BePX4KxU2Oz1tlZXQNzVB4eeH4/1YzF6Qii8+3I6tG45hxrwU+Pp1f2LxBmnjp2Pjz8tRV12O3My9SB4x3uWvlakUIpaC3Jmp26OJCbB7XRpvRUREiHeG1O2x1S4PiRyNysKtqCnLQPzwc0UhxDADHfp/pk4LeXD1BUqV3O0ujyOoaLn77rtx0003Ca2OvTgoSdsjHUtf6+treo4eTPAzFePdTo9U9LjR6Wlss1/0ONP1KLRaKEOCxXFzQSH6gvRRUYiMCRAz+W1/9l40hVKlxsjJc8Tx3o2/uv31NOKSdD1GveNOkfQESe8SbREQlgqZXA1dax0aa3s3fJVhjidis1St6JOTNwsegsK8s7KyRKdnwoQJ4kTjraKiInG8fft281iLhM6W0MdRUVEYbHDRw3jVnNBHLhU9zj1c/JV+Tjs9lmvrtvK3CL/4+D7b4JKcj+csMOlaaMTV6sQEsCeMmbFAPDHmHzmAqrIit77WLzEYCq0KxhY9GrOrXCp6CgoKUF/ffTNNJlMgKGKEOK4p4ywuhumPjB07VmxgUbzTihUrxOniiy8Weh06Hj16tPhf12q12LJli/nr6urqcODAAUyZMgWDDS56GM9X1m1lb3V471DgqLPNHr+O7a1GZ0WPg6R1wjduSJ/qeogR42IQFuGP5iZdrwaRBoaEI6ljrOXu+rqIpRhteudWt6/U8fcJDMSQIabHNTMz0+Z1QjqyuCiAtDddqRmG8QwaVyUmJlqdgoKCoFAoxDFdTlqeyy+/XKy7UwYmdXfvuOMOREdHY9GiRRhscNHDuE1HzWNH09OpuXGm6/FXudjpcbK2LnV6+rLooUJw9oJh4njz7zm9qgmQBM2Ux9XaYl8E7mjE1XSsGrr61h6NuALD0+EjU6C1uRLNDe6nwDMM0z+47bbbsGTJEuHWfMkll0Aul+P9998Xa/CDDS56GC9rejpFvM50PebtrTbHL9ySQaF9r54hfbq2LjF64hAEh/qisaENO7f0ns4lbugIhEbGQtfWikM7Nrj1taoQX/jGBYrj+gzHDs20uk6jNDI+q67uvsIrV6gRFG7a9Kou2ePW/WAYpnd49tln8cknn9i9/NZbb8XatWutPkdFzj333COsKnbt2oV3330XcR2bsYMNLnoYj4seu9lbHZs87Xq9iyvrjl2CA51pehJMnZ6WsjIY+9A2XS6XYdZ8U7dn42/Z0NtYsfcGVIiQtofYu2mN00T7rgRKI679pQ7HUn5+fqIF7qjbExJlGrVVl+7lERfDMP0eLnoYt5E2DOy9yHWurbvW6Wl04NNDaKXxlh1Nj5Jm1FotzdvQXOSeuNfbjJsSh4AgDeprW7BnW+91ntInzIRK44vayjLkHnbPK0ebFg4fpRy6mha0FNS5NOI6ePCgzd83iZl9ZEq0NlWgub5vtucYhmFchYsexqvbW9Zr6zqvaHoCnWh6qAjz7fDracrr2xGXQiHHzJOHiuP1v2ZBp+udbo9KrTGnr+/e8ItbXytTyREwPFwc1+53LGgeNmyYED3SeKvrSqt5xNWxxVXFIy6GYfo5XPQwbiN3oOmxdmXWubS91eTUp8expkfcVsf8ua/W1i2ZND0BgcEa1NW2YNuG3tvkGjfzFJF1VpB9EOVFeR6NuBoyK2B08LiSK2tKSorDEVdo1FizrodHXAzD9Ge46GF6IGS2fbm0wdVu0Lnk09NqaIPewXq7pOlpaNPbLbTMnZ4+FjMTCqUc8041CXw3rDmClmbnnkWeEBAchmGjTT4au9f/7NbXamIDoAz1RbveiPrMCpdGXLS6bm/EJZMp0dZSjaa6fLfuB8MwzPGEix7G85R1u+Mt1/K3fDs6Pc5GXFL0BH23Rrtr6/2n00OMnRyHiCitKHj+/M12Wrk3GD/nVHGetXcrGmpdD0mkkWDgKNc8e5KTk4WXB5kUFhZ21+3I5CoERY4Ux7zFxTBMf4aLHsb7mh4XXZnlMjk0CrXToofGaVqlXBzXOSt6iorRbuib3Jyu3bD5Z5g6JFv+yBHC5t4gKi4ZsUlpMBoN2LtptfuePT5AS1E92qrsi8lJ05Oamupki8uUz1Ultrjc2yZjGIY5XnDRw3jVp8cdIbNVFIUzrx610qErsyo8HDKNRqzJNxeXoD+QNioKcUkh0OuM+H3V4V7v9mRsWYe2VteLK4qk8E8OEcd1+8tcHnEZbBSVQeHDTVlcLTWcxcUwTL+Fix6mBzEUzlbWnRc9ZjGzkw2u4I6ip7qlze64xk+Ko8jtHy+6dJ8WLjZtNu3amo+KsoZe+T7Jw8cjKCxKuDMf3L7era8NHNMx4sooRbs9kRaAhIQE+Pv7o6WlBUePHu12uUyuRDCPuBiG6edw0cP0wnjLte0twq9jbd1Z/laEn2kMVt5kPzrBf6hpy6jhyBH0FxJSQpE6MlIUFL/9ZHs01FNog2v8bFNGzp4/f4XRDbNC/5RQyH0VMDTq0JhjP4RUJpNhxAhTAUdBhI5GXCajQh5xMUxfQCnqV1xxhdXnKF4iPT3d6jR//nzz5fSc8dprr2HOnDkYP348rr/+euTnD86lBC56mB4UPU62t5wIma2jKBwXPeF+pkKqosn+bQakmtyQG7L6T9FDLCBtjw9wcG8JcnMqe+V7DJ84C2pff9RVlyPnwE6Xv85HLkOAJGje63gsOHKkqZOTnZ2N5uZmm1lcMoUGutY6NNT03qo+wzC2Wbp0KV555ZVun6ex9I033ogNGzaYT19++aX58rfeegufffYZnnzySSxbtkwUQddddx3a+tDhvrfgoodxG1nHX419TY/K5fGWv9mV2cVOT7P9To+2Q2zbcCTb7WiG3iQyJhATpyWI419WZNjtkPUEpUqNMdNP9mh9PWhstDhvPFoNXZ39xzciIkKc6AnRVvK6TKZAcMQocVxdstfNn4BhGE+hfDwqaigpPSkpyeoykiEcOXIEo0ePNv8P0yk0NFRcToXNBx98IEJH582bJ/R7L7/8MkpKSrBq1SoMNrjoYTyOofCGkLkzf8u1oqfCwXiLNrhIzGxobkZzYd/GUXTl5NPSodYoUFJYhz3beqdtPGbGQsjkCpTkZaM41/VulyrUF77xQcIToG6f427PqFGjHI64QqOlERcZFfafwpNhBjMZGRkiEX3lypUYN870PyiRl5eHpqYms8loV2gjs7GxETNmzDB/LjAwUHR2t23bhsEGFz2M59tbPVxZJ/xUriWtS+Ot2lY9Wg22X0x95HJoU5LFcUNWFvoT/gFqzF2UJo7X/ngIrS3eNyz0DwhC+vjpHkVTBI2LNnv2OBI007tAKnqLi4tRVdVdAxQQlgq50g/6tgbUV/WvMSPDuAJ1RnRtrX1y8tTRnPQ5r7/+OuLjTeHLlhw+bNocpeT1+fPnY+HChXjiiSeE7xZBHR0iJibG6usiIyPNlw0mTOILhvEkhsJp9pYbmh4nSetkUOinkKNJbxDdniEBpq/rijYtFXUHDqL+8BFEzjeNe/oLU2clYeemXFSWN+KPX7NwylkmjYw3GT/7VBzcsQE5GTtQV1WOwNAIl77Of1iYEDTrG9qEoFk7LMz29fz9RfucNrgohHTWrFndRlwhUWNRUbAZVcW7EBhmKvQYZiBARcdX7zyNEjc6pd4kJjEVf/nbA+ZuujegoocWEaiIefvtt0Xn5/nnn0dWVhY++ugjsz6PDEi7RtDU1tZisMGdHsZjIbO9NyWdmh77mU5dfXqcJa1bi5lbXRAz969ODyFXyHDK2aZCZ8v6o6iqaPT69wiLjkN86ijx5L3LjW6PTNEpaK7d45qgmVrqtt6ZhsZMEOfVpftgdEHXxTD9CR/aOhhE3HTTTdi4cSNuvvlmpKWliU7PCy+8gK1bt2Lfvn3QaEy2IV1Fy62trfD1tf3mciDDnR7GbaQ3IQa74y03trdUrvn0SLqevLpmlDvY4JLEzI3HcmFsa4Osy7uXviZ1RCSGpkcgO7Mcq1YewMXXmLKzvMnEuWcgPytDePZMnX82fLWBLguaa7YXookEzbUtUAZ1xoRYMnToUPEukNrjBQUF3Vrq2uAkqDTBaGupQU35AbPOh2H6O9RhoU6LXtc3W0sKpcqrXR6CujwhISYTUgnJYZ3GV9JYq6ysTPhxSdDHtNo+2OBOD9MLjswqDxyZXSt6nHn1qCMjoAwKFM7MjUf739o0PaEtOmekeAwPZ5Ti8AHHuVeeEDd0BCKHJIkn7r2b1rgvaHaSx0WCSXrHKHV7uuLjIzN3e6qKXV+fZ5j+8j9K25B9cfJ2wUPce++9uOqqq6w+t2/fPnE+bNgwodPTarXYsmWL+fK6ujqxrDBlivfflPU1XPQw3hcyu+XI7OvyeMuVooeeNKRuT30/8+uRiIgKwPSTTJsUP3+zH7o272aF0WMwcd5icUxFT1ur84Kyq6C5dr9jQbM04iK9gE7X/fccGj1RnNdVZELvwu+WYZje4dRTT8WmTZvwxhtvCD3P77//jn/84x8488wzRdeWtDyXX365WHdfs2aN2Oa64447EB0djUWLTKangwkuepgeaHq8uL3lRMhspelpdtx61vZTk0JL5p6SisBgDWqqmrF+tff1RykjJyI4PBqtzY3I2PqHy1+nTSVBsxIGEjRn23doHjJkCIKCgkTBQx4gXfENiIZvQAza2w0cS8EwfciCBQuEYSEVNGeddRYefPBBUcw8/fTT5uuQR8+SJUuEc/Mll1wCuVyO999/X3R1Bxtc9DDej6HwaHur2em6pqVXj73RWn8XM0uo1Aqcdu5ocbxxXTbKS03ro96c40+ce7o43r3hZxhcKEAlh+bA0ZHiuNaBQzN1kywFzbaQuj20xcUwzPHh2WefFevplpx++un45ptvsGfPHuHGfN999wldngQVOffcc4/oCO3atQvvvvsu4uLiMBiR9Qcnya6ZIHT6+uuv+/quMT3V9LixvWVsN6JVb39sRYRoVKBvrTO2o65V57TTQwaF+gbvb0h5i/TRUULYbDS046ev93vs0WH39ifMgH9gMBrrapC5a5PLXxfY4dAsCZrtIRU9ubm5QgPQldCY8WIXpqHmKFqbqz36GRiGYQZV0UPzQ6o4169fb5ULcsYZZ/T1XWOcFj1wMt5y3ulRyZWQ+8hciqJQyHwQqjEVVI42uJSBgdBER/W78FFb3ZLTzhsNhUKGY0cqsX9noVdvX65QCt8eYucfP7kcRKoK8YVvQpDTbk9wcLB5c8tWt4c2uLQhJu1SdQl3exiG6Xv6vOghISSZnZFxkmUuiOQdwPTv8Zat7oQ7MRT0wi8lrbu6tu5MzGzZ7anPNLmR9ldCwvww5xST8JpW2FuavetrM2rqSSKItKaixK0g0qBxpjXWur2lMOrtF0tjxowR5/v32+5UhXVscVXyiIthmH5Anxc9FFxICnJm4CCXd65V2tL1uLO9ZbXB5cbauiODQiKwY/RSs9e0mtmfmTEvBWER/mhsaMNvPx3y6m2r1L4YO2OBON657geXR2jaYaGQa1UwNOvQcLjC7vVo5ZU6tTTeos2QrgRHjYWPjxwtDSVoqu9feWgMw5x49ItOD2X4XHbZZZg5c6ZQjv/xh+vbJkzfxVAQeltFjxvbW5ZJ6650eqQNLkfjLSJ4gskQr/5Qpggg7c8oFHKccb6pY7JtYy6K8mu8evtU9JDpWVnhMRRkH3RZ0GxeX99dbPd6tN1BPh9St6crCqUvgiJGiOOqIvbsYRjmBC569Ho9cnJyRL7HrbfeKhTj48ePxw033CBU5Ez/RC7v/LMx2Aj/7DQndM3VtHODyw2vnmbHnR5NdDTUkZHCpLA2w3YieH8iOTUcoyfEiqTz777Ya/Nx9RRyZB45ea443vn7Dy5/HTk0k3K8pageLaUNdq83erRpC42yfFpaugufw2InifPK4p1oN3rXk4hhGGbAFD0KhUK4QC5btgzTp08XT560Sjd79mzhEcD0T0hQLGErikJmHm85396y9urx3niLtELB48eK45rdA8Mn5tRzRsHXT4nSojpsWpfj1dseP+dU+MhkyD9yAKX5rt22wl8FbVq4OK7dZb/bExUVJXR4BoNBhJB2JTB8OBRKf+jb6lFX2b81VgzDDG76fLxFqc1dRcuUC0Kr7Ez/3t4iDAYbGhE3trfc1fRI463aVj1anXRDgsePH1BFj3+AGos6Akl/X3UYleX2uyvuEhgSjrRx08Xx9t++c/nrgieYBM31h8qFvsdegSl1e2yNuCh5XYqlqCza7tH9ZxiGGfBFD7XDJ06caJX5IT1xkkCS6Z/Qi5yk6zHYWIM2d3pc1vS4vr3lr1TATyF3qdsTNHa0SEdtzi9Aa2UlBgJjJ8chJS0CBr1RjLkcRUG4y+R5Z4rH4+jB3ago7i46toUmNgCqCH+0642o22//jciIESOEwRmFFNp6wxIWO1mc15RlcCwFwzAnZtFDW1spKSl44oknsH37dmRnZ+OZZ57B7t27cdNNN/XlXWNc1PXobXR6Os0JdS5tC/kpNS759HSLo3BS9CgDAqAdNnRAdXuooDzzgjFQquTIy6nCzi2uFSeuEBIZg9QxpgDBbWtd6/aIMWFHt6d2d4nd36evr695C9NWt8cvcIg5lqKqeHcPfgqGYZgBWvSQVf7bb7+NsWPH4vbbb8d5550nbLL/+9//mlOcmf6JQm6/0+MjV3R+4Iorsxs+PdZePc7HZ8HjTVtcNbv3YqAQHOqHk09PF8ervz+IulrvbZ9NPvkscZ6dsQNVpa6ZIQaMiIBMLRfuzOTS7MyzhwxHaUmhK2GxpoKLR1wM03u88847uOKKK6w+Rx3YO++8E5MnT8a0adNw1113ia1pS5YuXSpyuuj1+NJLLxUp64ORPtf0hIeHi+4OuTDv3btXiJrpF8P0b8zjLQedHrfzt9pcG3uES2JmJxtclkVP7R4aFXlvI6q3mTo7GbEJwWht0eOnr7wXUREWHYeUUZMoLRbbf/vepa+RKeUIHG1yuK5xIGhOSEhAQECA2OCi0XVXQqMnAD4yNNXlo7nBvtMzwzCeQYULhYta0tbWhmuuuQZFRUX4+OOPxZY0vTGhpSEJyuV6/vnn8X//938iAopyt66++upuhdFgoM+LHmagj7dsFBIWnR5XNrg6V9adJ60TkR1FT1mj86InID0NMo0GutpaNOV6b1R0PMTiZ104VpxnZpTi4F77xYa7TJlv6vZk7d0inJpdIWi8acRFnZ62mma7nVtJ0ExvYLqiVGsRFG7y7OFuD8N4D9LR3XjjjXjxxRdFwoEl33//PQoLC/HGG2+IvLxx48bh/vvvx9GjR9HQYFqWoInL5ZdfjrPPPlvoaSmBnUbWy5cvx2CDix7GIzqFzDY6PT4+buVvmbe3XBS4mjU9zc5vW6ZUImj0KHFcvWtgaUmiYgIxa4FJ0P/TNxlodmGc5woRsYlIGj5OdI+2r/vB5Twuv6QQp+vrNOKi339BQQEqbYjHw4eYuriVRezZw/RP6P/C2Gbok5OnHV3KviOj0JUrV4qixhKaopAlDE1VJObMmYPVq1dDq9WK/9Njx45hxowZVnYyNHHZtm0bBhsW4guGcb/TY89Ej6IoSMhsdGGDy1NNDwmZKeldygKzR8ikiajevgOVGzcj7i/nYiAxZ+EwHNxTjIqyBvy68iDOvtj6Cc1Tpsw/G8cO7UHmro2YOv9sBIZGOP2a4EmxaDpWjbp9pQidmQC5uvvTB423SNB85MgR0e05+eSTHXr2SG7NDNMfoKKj4H97hSFnX6AZEoi4i01vHNxh/vz54mQL6uhQAfPmm29ixYoVQm9HXnj33HMPAgMDUVJi6vbGxJi6uRKUh0ljsMEGd3qYHhkU2ur0uOvKLG1vNbng00OEaFRkFAydsR11rc6LqrCZ02n2ggZyDO74Bx8oUETFmReOBXyA3dvykZ1Z7pXbjYpPQXzqKKFzcrXb45cUDFWor3hH6mh9nYSQ0rtPnc7698OePUy/x82Co79DIywqdijn8l//+pfYlt6xYwduvvlmUeQ1d8T0qFSdWkyCMvVaW51LCAYa3OlhehQ6atOc0GKDyxVNj+TT02pog95ogEJm8uFxVHCFalRivEUbXMEa63/WrqiCgxE0ZrQQM1ds2Ii4JX/BQCIhORRTZiZi25+5+H75Xtx490lQaxRe6fbkZ2Xg0M4NQucTEBzmfH19UizKfs1G7c5iBE+IhY+FUaUEaQroHSSFkFK23qhRpvGipWdPWd4Gs2ePouP3zzB9Df2NU6elXdc3Sw8+SpnbXR5n0KjKz89PFDxKpUl2EBQUhAsuuAD79u0zmwOT4NkSKnhI1zPY4E4P4xFymQMhs5udHt+OTo9na+uuvROJmDPLdP31GzAQWbB4BIJDfVFb3YzV33tnlTQ2KQ1DUobDaDBg5+8/uvQ1ASMjIdMoxPp6Y7btzQ560pa6PWRB0RX27GH6M/T3K1PJ++Tk7YKHiI6ORnJysrngkVIPCNLeSWMtWmu3hD6miJnBBhc9TA99euyNt1x3ZZbL5NAo1G4VPa4aFEqETp8GH4UCTcdy0ZSXj4GGSq3AWReZ9Dw7NuUh53C5Vze5Dmz/A411NS6tr4sgUlpf32Hf54e2uGibq7i4uNuTqZVnT+HWHtx7hmGcMWXKFKHNsQwDPnzYlIGXmJiIsLAwURRZJiOQ7ocMg+lrBxtc9DA96vTYFTJL21sG16Io3PXq6Uxbd22jidyZgyeMG9DdnuRh4Zg8M1EcU0QFefj0lCEpIxCTmAqDXo+df/zk0tcEkUOzzAfNBXV209cpU0+KkrG1vh4WMxE+PnI01Reiqa6ghz8FwzD2uPjii0VEDBkSZmVlCT3PQw89JEwKpdEz+fiQKTD59dASwj/+8Q9RJC1ZsgSDDS56mB5pevRe6PQQ/ua19d4ZbxHhs2eL84oNf3rN7O94s/BMyzFX90Rzd6F2+uSObk/G1nVorK91+jXKALU5fb1mZ5Hd60mrs5S83lUvoFD5IzjK5OlTXmCdvccwjPcIDQ0VpoXUvbngggtExBNZS5Bvj8SFF16I2267TRgbnn/++cLXh4og+trBBguZmR51eoz2hMxuaHqsDQrdX1t3ldCpUyBTqdBSVIzGnKPQDk3BgBxzXTgOn7y9GTs25WLE2BikdBQgnpKQOhpR8UNRmp8ttD1zzrzE6deETIpFw6FycdLPTYLCv7uYPD4+HiEhIaiurhbtdUnnIxE+ZDqqS/agqngX4tLOhLxjxMkwjOc8++yzNpcLKJ7CEddee604DXa408P0sNNjdLK95eJ4q8Orp7HNPU1PbaserXZGbF1R+PkiZPIkcVy6eg0GKsmplmOuPT0ec1G3Z9op54nj/VvWoqHOfr6WhCYmQCSwtxvaUbu72CVBc9fuWkBoCtS+YTAaWlFdOjACYRmGGdhw0cN4hMJsTuis0+OqpkfjVqfHX6mAn0Ludrcn+tRTxHnZ2nXQNzZioELbXEEhpjHXmh96PuaKHzYSMUkmbc8OFzO5gifGmtPXjXrbhSdpBkhPQGJmssq3xMdHhvC4aeK4gkdcDMMcB7joYXoYQ2Hfkdk9TY/kyuyakJmI1poKpYJ611PIg8aNhW98HIwtLShdvRYDFfLpoTEXsX1jLo5mVXih22PyL8rY9gfqa7pHSHSFdD2KADUMzTrUH7S9TUY+H2lpaeJ49+7u6+nk2UMhpI21eWiqt68PYhiG8QZc9DA9G2/ZNSd0c3tLJW1vuV7AJAaZCqVjNU1uvbjHnrVYHBd//yPaDQM3/4m0PJNmdI652lp7NuaKSxne4dujdymBnYwJg2mTq2N93Z44XBI0kyOs5P4qoVQHIDjCtEFSUcDr6wzD9C5c9DAeoZBW1p12etwTMru6vUUkSUVPrXtjqoh5J0ERoEVrWRmqtg3sKATa5qIxV02Vd7a5pi00aXsObl+Pumrn3aPAsdHCRbatoglNubZ9fmJjY0WOD22PkANsV6QRV1XxThgN3glVZRiGsQUXPYxHyJzFULit6XFve4tIDjYVPXl1zXZNEm0hV6sRdcpCcVz0nWu5U/17zDW2c8x1pGdjrtjkNMQPGwWj0YDta1c6vb5co0DQGJNra/W2QrvdtQkTJphHXMYuhXJgWCpUmhAY9M2oLu3u6cMwDOMtuOhhetTpsRtD4eb2lr/K/aInyl8DjUKGNoMRxQ2dbqOuEHPG6SKEtG5/BhqyczCQSUmLwKQZCeL4u8/39njMNXWhKYn+4M4/UVvZ3U25K8GThohA1ObcGrtmhcOHDxf6nvr6emRnZ9sQNE8VxzziYhimXxY9TU1N4smLVlHz8vIGZRor41zTY3Sasu6uI7PrRY/MxweJgZ6NuNQR4Qifbcrjyv1kKQY6nWOuph6PuWIShyExbYxIYN/mQrdHGaSBNj3CYbeHQg/JEI3YtWuXnVgKHzTUHEVzg/0Ed4ZhmONW9JCr6meffYZLLrkEU6dOxZlnniksrk899VRMmjQJV111FT7//PNu7qvM4N3esitk9nB7q9GN7S0iqWPEdazWva8jEi69WORx1ezajZo9A3usotYorcZcPc3mkro9mbs2orq8xOn1Q6YMEecNmeUijNSeoJlGXfn5+aiosB7DqTRBCIoYIY55fZ1hmD4ver7++mucfPLJeOmllxAXF4d7771X2Fh/8MEHePnll3H33XcjMDBQXL5gwQIsX7681+400498epwJmd3N3tK5N6ZKCvJ3e4NLwjcmGtGnLjJ9/Uefis7GQB9zSaaFKz/fg5Zm1x57W0TFpyBpxHixkbVtzbdOr6+J0sIvMRhotx9ESs8PUh6XrW5PRNx0cV5ZtJ0FzQzD9F0Mxd/+9jeUl5fjkUceEYWPStXdcp6gTg91eX788UeR27Fq1Sq899573r7PTD9AJvn0OFtZd3V7y0LTQy+01BFwZ4OLvHp0BiOUHcWYq8RduASla9aiMTsbFRs2ImKuKZ9rII+5sjPLUV3ZhFXfHsDZF5vWxT1h2sJzcezgbhzeuwUT552B8Oh4h9cPnjJEbHDV7i1F6IwEyH1NfwOWkKCZQg8PHDiAOXPmQKMxeS0RgeHpUPmGoq25SkRTSFtdDMO4DsVNbNiwAZ988on4+IorrsDWrba1cs899xzOPdfU1aV8Lmpi0Gv96NGjRSjpyJEjMdhw6RVi0aJFotNDYyx7BY8EXU4P4ooVK8TXMYO702M3hsJNTY803jK2G9Gid10fFuarglalgKG93S2TQglVcBDi/mL6p8/9dCkMA1ybRtlcotDxAXZvy8fhA57rYyJiEzFszBSgvR2bV33t9PrU6VFH+qNdb7QbTUFd4vDwcLG+vn///m6C5oi4GeK4LH/jgA2FZZi+ggoXCg215PXXXxdFkHRav349Jk+ejNTUVJxyismhntLVn3/+efzf//2feK2n/9Orr74aVVVVOCGLHkpddRd6p06JrswgFzI70/S4ON5SyZXiRNS11rv1d2b26/FgxEXEnnMWVGGhaC0tQ+4nn2Ggk5gShulzTWGq33+xF02Nno+KKJPLRyYTHZ/i3Cynvwvq9hA1u4ph1BncXl8PHzIFPjIFmuuL0Fib6/H9ZpgTCYp4ufHGG/Hiiy+KcFFLgoODERERYT6tWrUKe/fuxWuvvQZ/f5M84O2338bll1+Os88+W4ygn376abFtORhlKh5tb9GmFj1o27dvx7Zt28Rpy5YtWLdunXjQmRMnZV1vdDbecq3ooRfDIHWAOK5tcb3oIaSi56ibG1wSco0Gw265SRwXf/8DajMOYKAz//R0hEdp0VDfip++tu6ouENIRAxGTDRtuW365Sun3ZcAiqYIVMPQpEP9Advr7iNGjBBjrdraWhw9etTqMoXKH6HR48Vxef5Gj+83w3gK/Y3rdLo+OXna3czIyIBSqcTKlSvNDui2qKqqEp2gm266CSkppjdGlZWVOHbsGGbMMHVZpW1L6gbRa/tgwyVNjyVU3FALjJ6wbEGVI4mamcGNwmxO6J3sLSJIE4jypirUutHpsRIze7DBJREyaSIiF8xH2Zq1OPL6mxj/6kvCxHCgolDKcc7F4/HB638iY3cRRoyNxshxpoBQd5my4Bxk7t6EoqOZyMvaL9bZ7eEjlyF4UiwqfjuK6u2FCBwTLeIqLKEnZ9IM0JumnTt3YujQoVaXR8TPFGLm6pK9iEs7G0q11qP7zTDuQkXHsmXLUFTUNzlw5F5OG9Guahol5s+fL07OeO+998Qbjmuvvdb8uZIS03ZmTIwpUkaCXNQPHToEnOidHtrUCgkJEa2xhQsXCt0OtcYuvfRS8Yti4fKJ1emx54Ts7niLCNR41umRnJlLGlrQovc8Syv5mqvEmKuluARH3/8vBjpDEoIxe75pW+qHL/eJro8nBASHYfQ00xPqZur2ONlyCxoTDZlGAV11CxqybAeX0oiLni/I44sS2C3xD4qHX2A82tsNqChks0KG8QYNDQ344osvRMGjtnhDJ+XhddXr0nUGo/+e250eCg186qmnhACK3FWpKj7ppJPEidpz//73v/Huu+/2zr1l+mHgqDMhs+t6kmDzeKvOrfsSqFYiVKNEVYsOubVNSA8z3Y67KLT+GHbrLTjw+FMo/eVXaFNSEH3awBbjzz0lVYiZS4vq8P3yvbjo6sluv4skJs9bjAPb/0B5US6yM3aYBM52kKnkCB4fg6rN+ajekg9tWli370nr65S+Ts8n1O057bTTrC6PjJ+JYxmfo6JgE6KT5wmRM8P0NvR3Sp0WEtr3BTRW8uT/0xVWr14ttqu7anSlDcqu/npU8JCuZ7Dh9jMJCQ+jokxZO4mJiWL9VIK2u2gVlRn8KFxeWXdvvOVJp8dbIy4iZMJ4JF5+qTjOefc/qDvQ8xDPvkSukOHcS8aLrLTDGaXYa8dDxxm+2kBMmH2qON7869cwOkmnpxEXBZG2ljWi6Wi1zeuQoSlx8OBB8S7UkpDocZAr/dDWUoPacn5OYY4fVHTQCLYvTr1V8EhFz0knnSTecFgijbW6dlzpY+m1/oQuehISEsS7MyI5OVm0xnJyTNlFVB03NnomJmUGFjIvmxMSQdJ4y01Nj7Uzc8///oacfx7CZs1Eu8GAQ88+j+bCvpnve4uo2EDMOzVdHP/8zX7U1bi/2k+Mn3MqNP5a1JSX4NDOPx1elzx6gsaZnkyp42NLoElPtkOGDBFvpGiTyxKZXInwIaY8rvL8TR7dX4ZhOiEN3QwLsbJEWFiYeC0nva4EvZbT9adMsd/RPWGKnrPOOktsaH366acIDQ0VgsQnn3wSa9euxZtvvml2XGVOjE6Pt2IorIoeN8dbRE/X1i2hd1upt90C/5Rk6GrrsP/hR9HSIfYbqMycl4LYhGC0tuix8vO9Hm2JqNS+mDzvTHG8dc0K6HWOf7chk4fAR+6DlqJ6NOfXOuz2UIYfjcctMXn2+KCu8jBaGp0HnzIMY5vi4mJUV1eL4F9bXHPNNcJQmPx6jhw5gn/84x9oaWnBkiVLgBO96LnuuuvEzJOepIhHH31UtKdvvvlm0fGheApm8CPv6PTYDRyVu2dOSJhX1j3o9CR2FD0VzW2ob+v5PJ7W2Ec99jB84+PQVlmF/Q8/hpYu7d+B1pk79+LxUChkIpdr5+Y8j26HBM3aoFA01FZj3+a1Dq+r0KrE9hZRtaXA5nVocysoKEg8wdLarSVqv1BzHldZ3gaP7i/DMBAuy5Jnjy0uvPBC3HbbbWKdnTQ/hYWFogiixgZO9KJHJpPhvvvuwwsvvCA+puRkmhWSKpx8egZjO4xxFDhqb7zVoZFvN6LdaOh1TY+fUoEof9NGQq4XRlyEMigIo594DJrYGLSWlWPvvf9AQ461r8xAgnx75i82vdNbtfIAqivdf5wUSiWmLjhHHO9Y9z3aWpqdB5HKfNCcW4OW4nqbzycTJ04UxyRo7tqBikqcI84rC7dD72YYLcOciDz77LPmCAqJsWPHClnK0C72EJbQVtfvv/8uGhrk7Ex+WoMRt4oeMiT86aefur0j02q14kGlc+ZECxy1N97qXH90dYNLKnoa2hqhd7FQ6q0Rl4QqNASjn3wcfokJ0FVXY98DD6F6Z/ewzIHCtNnJSBwaCl2bAd8u24N2O78/RwyfOAvBEdFoaWrArvU/O7yuMkiDgBERZm2PLWhETuux1H7Pzs62ukwbMhS+2hgYjTpOX2cY5vgUPXV1dbjkkktw0UUX4Y477hBzPvLloTkhc2KvrNs1J5R3uiG4OuLSqvwg61hNdieKwtsbXF1Rh4dhzNNPIWjMaBhbWnDgiX8i//PlAzKVnYwCz75oHJQqOfJyqrBlg/udK5lcjumLTGuvVPQ01tU4vH7otDhx3phdhdby7t0l8gehN03Ejh07rO+vjw8iO7o9ZXl/utw1ZBiG8bjooTkfraLfeuutwoOHxluk36HUdW9ClvRkWkaBZ8wAGW/Z6/TI5PTq6FbRQwVPYIf7ricjruRgU9GTVd1g9355Cnn4jHz0IUSdslAEcOZ9tkz4+bRW2Dbf68+EhPlj0dmm9OS1PxxCRan1urgrDB01CdEJQ6HXtQlRsyNUoX7Qpoc77PbQ/z2NugoKCswOsRIUS6FQaaFrrUV16T637yvDMIxbRc9vv/2GO++8U4iV586di6uuukoImDdu3IimJu+8q6bNDYqv8NbtMcdHyGyv0+Px2rqH+VuSM3OASoEmnQGHq9z/emfIlEoM+/tNGHbbLZCpVKjZvQe7br0dJb+sGnBdn4nTE5CSFgG93ogVy3bD6OD3aAvqwMw6/SJxfGDbH6gqLXSp29OQWYG2qu46oICAAPNmSde8H1pfj4jvSF/PW+/W/WQYhnG76CHl96hRo6w+N23aNBgMBq+NuF5//XXWBA3ATo89TY+nrsydYmb319ZlPj4YHxUkjneVOB659ISoBfMx7l/PQ5uWCkNTE7LfekdsdzUPoHEvFS1nXzQWao0CRXk12LjO5LXlDjFJqUgZNVGIjzf+8qXD66ojtfBPCRHH1Vttd3ukJYjDhw+LYERLIuJmwsdHjsbaPDTUHHP7vjIMw7hc9JBRUddcDlozJbyRzUHv7D7//HOhOmcGmJDZUaenQ9fT7oaluzl/ywNNDzEx2rSSuau0BkYPE4tdwS8hHmOf/SeSr70aMrUadfszsPu2O5H3v89haGnBQCAw2BennTdaHK/7JVNEVbjLjFOXwEcmw7GDu1GY4zicMGR6vDivO1AOXU33xyg8PNy8XULGaJZQ6GhojGnLqyyX19cZhvGMHgfaeGJy1lUkTd4+Dz30ULeUV6b/0pm95UKnx9D7+VsSw8MC4KuQobZVj5ya3nUH95HLEXv2mZjw+ssIGjcWxrY25C/7Ajtu/DtKV68Rjs79nbGThiB9VBSMhnas+N9uGPTujblCImIweuo8cfznj587HPP5xgbCNzEYMLajaovtbs/UqSYXZtoQpWw/SyITZ4vz6rJ9aGu2HW3BMAzTq0VPT7NCHnvsMSFiJKdnZrCNt3qQv+Vhp0chk2FsZO+PuCzRREVh1OOPIP3eu6COihSr7Udefwu777xHrLf39I1Bb0L/v4svGAtfP6Xo9Pzxa2eWnqtMmX82lCoNygqPIWuftR6nK2EzE8R53f5Sm92e2NhYczQF+fZY4hcQi4DQYcL7qSzfcQwGwzBMj1LWqTix1NxIT+QPP/ww/P1NWzPSk+hHH33k0m2uWLFCtLG/++47V+8GM6DGWz2JovBciDwhKhhbiqrFiGvJ8CG9GuInQd8jfNZMhE6dguIffkL+F1+i6Viu2PAKHD0KSX+9HAHpaeiPaAPUWLxkDL78eCc2rD2CtFGRGJJg0t+4gl9AECbOPR1bVn+Dzb98haGjJkLeUfB2xXdIIPySgtF0rAZVm/MQdVqazW4P2eGTSRppB6UUaILW1+urjgjPnpiUUyBXmAwpGYZhvNbpIYEhFTZU6Egn6fN+fn5Wn6d3aK7y1VdfobKyEvPmzRPdHjoRtBlGcRfMidjp6dl4ixgdEQilzAflTW0oqPcsXLMnG15Dzj0bk95+U4y+yJma9D57730AB59+Dk15nsU/9DYjx8Vi9IRYYVb4zdLdaGvVux1G6hcQjLrqcqfxFKFStyejDG3V3X8/FH5I+h7a6OwaRBoUPhxqv3AY9C2oKNzq1n1kmBOBd955B1dccYXV52hcTJ+bMGGCeL2l/My2tk7ZAb1uv/baa5gzZw7Gjx+P66+/Hvn5tkfQJ0Snp6ultbegB54ydyxZtGiRyAA5++yze+V7MsdzZd19TU9P8rck1Ao5RkUEYndpLXaW1CA+0OTUfDxRBgYIkTMVPnnLvkDZ2nWo2rIVVdu2I3LeSYi/5EJoIiPRnzj9L6ORm1OFqopGrP7+IM44f4zLX6tUqTHtlHPx29cfYtva7zB80mxofDs7wF21PX5JIWg6Vi18e6JPT+vWNaNuz48//ihGXBRKqlSaCmgfHxmiEuci7+DXKMv9A5HxM02eUAzDiPgI8tWbPHmy+XPkdE6Boqeddhqeeuop5OXlCa89KnSkrMy33noLn332mVgmio6OFjFT1HigKUzXJaYTotNDRoSe0NVSvitRUVFITEy0OklR93QZM3DNCa23t9zX9NS11MPY7rn3jXmL6zjpeuyhjohA6q23YMJrLyNsxjR6S4Wytb9h5023Iuc//4Wu1nb6eF/g66cSbs3E9o25OHLIvYDVERNnIzQyFq3Njdjx2/cOrxs2y9TtqT9gu9uTnp6OwMBANDc3Y//+/dZfGztZmBW2tdSgqsS6E8QwJyKlpaW48cYbRSMhKSnJ6jJyOa+pqcE999wjXmOpm0Ma2vXrTZ5X1PH54IMPRLOBukDkl/Xyyy8Lk9BVq1ZhsOFS0XPDDTeICrCrd4Y9ioqK8MQTT4ivYwYncpnU6XHFp8f1okdyZDa0G9HU5vloisTMtGBW2NCCkoa+XyH3i4/D8PvvxdjnnxFxFrTGX/zd99h+w82iE6RvOr5jOHsMTY/AlFmmJ82Vn+9Bc1ObW/EUM0+/UBzv2fgraipK7V5XExMAP/LtaQeqNnUf+ZE7s+TbQ7o/y7E5mRVGJpg2uUqPrevXQnGGOR7Q+Iq6oStXrsS4caY3LhJSUvr//vc/4a1HrucULCpd79ChQ2hsbMSMGSYDUILecIwcObKbUegJU/SQ4JgqRXJjppbX8uXLxQPV0NAgnozoMvqYWmtU6NCIqra21qM4CUqC/ctf/uLJz8IcRxRS9pbRu47MSrkS/kpfcVzT6rmux1+pQHqYaVRGgub+AomZRz35mNj28h+aIrK88v/3OXb87WYUrfweRp3rj1VvsfDMEQiL8EdDXSt+/Mq6y+KMxPSxSEgdDaPBgI0/f+HSJlf9wXK0VXV3YidDVF9fX2FrQc8vlpBDs0yuRnNDCeoqMt26jwzjCCqiDfq2Pjl5WsDPnz9fGPzGx5u8sCyZOHEibrrpJrz66qsYM2YMFixYICYpUoyUFPvS1TImMjKyWyTMCaPpoa0t6vSQEIpEUo8//rioGLtCSclUGC1btkwkJzODX9ND/6MkZpbGXT3d3pJGXI26ZjHiQmBMj0ZcByrqxYjr9KHR6C+QZiV4/DiMGzsGlZs2I/fT/6GlqAhH3/8vilZ+h/hLLhK6H/IB6gsojPTcSyfgg9f/RMbuIuHjM3riENfjKRZfjPzXHkFOxk4UZB9E3NARNq+riQ6A/9BQEURatSkf0YvTre+HUin0PBs2bMCWLVtE2506QIRC6YeIuGkozf0DJcd+Q1CEKcKCYXoCFR2Z295EY01un3x//+AkpE+52asbp9ScIInKZZddJrSyJFB+5plnxOb1c889J0bIRFftDr2eU/PihF1Zl955kcKb8rGo5UwPHj2gISEhwl+DxFOW66XM4MWyyKFun9yGmNST7S1pg6uovhQ1PVhbJ8ZHBWPp/nwcrW1CeVMrIvz613ozORnTmnvY9GkoXfMb8pd9jtbyChx57U0UffsdUm64DkGjreNfjhdDEoIxZ+Ew/LEqCz9+vR8JKaHCwdkVwqKGCMNC2uLa8MP/cOHfHzMXK7Y2uajoqT9UjtDp8VCFWYvOaduEnmtotE7xFFI+l7S+TsnrDdU5aKzJg3+wqXPEMD2j9y0ujickSqbihV67pddxSlSgDE06Sa/ZpO2xfP2mtAXqtJ7QRY8EralTR4c5cZEcmSVXZqXCO9tbRJDa8/wt69tRYkR4gOj2/JxdiivG9M8XReroRC9aiIiT5qDkx59R8OXXaMrNw/4HH0H43DlIvvpKqEJd983xFnMWpuLIwTIU5dcKfc9l10+Dj42Oni2mLjwXh3dvRkVxPg7uWI9RU06yeT1NlBb+w0LReKQKlX/mIeZs644Nvfukbs+ff/6JzZs3C4Gz9C5YpQlGaMwEVBZtF92eoeOv9MJPzZzI0N8WdVqMbozkvQnp1bztK0ZCZhIoWzKuQ89z7NgxYQZKlJWVISGh8zmSPqb/t8FGjx2ZmRPbnNCRV48n21tEoEbb47V1iTOHmcZjfxZUorLZveLreCNXqzHkvHMw8e03EH3aInoGRsUf67Hz5ltR+O13MLqRYeaV+yOX4dxLJkChkCHncAW2bXQ96NPXPwBTFpwjjjev+hptLfaF2mGzTFubDYcr0FLS0O1y6vZQq508vbKyrB2jo5JMT+Y1ZRloaXRv24xhbEFFh1yh6pNTbxipkn6HtLKWZHZ8TJ5Y1D0lCQuNkCVIR3fgwAHzMsFggosepsfjLXtePZ5sbxHB5qT1nhc9qaFajAgLgKG9HT9lDwxRnjIgAENv+hvGvvAstKmpMDQ349gHH2Lv3fehIdsz+whPCY/SCmEzQd49FWXdixJ7jJk+H8Hh0WhuqMP2dfZX2NUR/ggYGSGOKzd0L6yo4CExJkHdHkuxp682CkERI+mvDKXHfnfrZ2OYEwEaYdF6Ovn35OXlYdOmTXjggQfM6+nUTb388svFuvuaNWvE0sAdd9wh/HpoKWmwwUUP4xH0jkQmefXYKXpkHZoeo7uaHmm85YVOD3FmqqnbsyG//3d7LAlIHYaxzz+NobfcBEWAFo1Hj2HP3fch99PPjuuWF62wJ6eGQ68zYsVnuxwaUloiVygw64yLxPHuDatQW2W/ExM2MxGQ+Yh4iqa87tt2VPTQk3N5eTmOHDlidVl08snivLJoB9paBp/wkmF6Avny0ALSxo0bcc455+DBBx/ESSedJLx4JMijZ8mSJSL4+5JLLoFcLsf7779vNgUdTHDRw3iMwlkURcf2Ftycj3sjisKStFAt0sO0otvz8wDp9liKnUnvM+GNVxE2a4YwNyxY/hV233E36jMPH6f74INzLh4Hja9S6Hs2rLYuOhyRNHwc4oeNgtGgx8afltu9njJYg6Cxpg27yvW53VZ3SWApxdR07fZog5OgDUlBe7tB+PYwzIkMbVp3TVGgIueLL77Arl27sHbtWtHpIW2uBBU5ZF5IXSC6zrvvvou4uDgMRtwqevbu3YuffvpJGCExjCRmtmdQ2NnpafOo6BEr617irA5tz/r8SlQNoG6PhCo4GMPvvRvp990NZVAQmvMLsPf+B5H32TK027CP8Da0uUUxFcQfq7NQaKMbY68jOHvxxeI8e/92FOZY++1YEjojHj4KGVqK64WwuStSHAUJLLu6xMekLBDn5QWbofNSh5BhmBO06CFRE7W8LrroIjHrozbYpZdeiuLi4t6/h0y/d2XWe1nTI+Vv1XjxxYuMCtNDtQNK22OL8JkzRNcn4qS5ouuT//ly7HvgITQX9/7PRIGkI8fFiFBSGnPp2lwrtsKi4zBqqklwvP77/9kNJVb4qxA82bRJUrkhV3wfS2h9lsIQCXpHatntCQhNhX9QAtqNepTmsraHYZgeFD0kgCIl96233iraXhRWRu+0JEdH5sTu9Bjtbm95Ot4yaXpa9a1o0bfCW5wlaXsKKoVvz0CFwkzT7vw/pN11O+T+fmLMtfv2u0SmV29GMlC3ZvGSMdAGqlFZ3og1Pxx0+WunnXIeVBpfVBTn4cA2+0VJyOQhkGkUaKtsErlcXSEvMIVCIbKGLLs9dN9iUhaK4/L8TdC3Nbr98zEMM/hxqej57bffcOedd+Lmm28W/jykBn/00UeFMIqMCpkTE+edHs+EzBqFWsRReHvERd0e2uSikNS3d+agzUVBbn8lYu4cjH/lXwgcOULEWWS9+gaOvPYGDK2txyWUdOuGY8jOLHft6/wDMO0UU7zMpl++QnOj7S0wuUaB0KkmLUHlxjwY9da/I9IhSNoe8u6xLPICw4fDL2AIjIY24dTMMAzjUdFDGxPk4mjJtGnTRBQFj7hOXDrzt+x0ejx0ZBYxDdKIy0tiZomrxiYiQKVAXl0zPt2fN+DDKjWRkRj91ONIuOwSSulE2dp12HvvA2guKuq17zlseCQm07aVm6GkY6adLEZdlMK+5Vf7uXxBE2Ig16qgr2tF3d7uYzvyDpE2ucil2fLvJrpD20NOzXodvyFjGMaDokev13fL5SAba8mqmjkxcZa0bs7e8sDdVBpx1XlZlBrqq8INE5KF0fymwir8nleBgQ45OsdfuESEmJLIuelYLvbcdR8qN3eajXkb8u4JDfdHfW0Lfvp6v8sp7HPPvlwc79+6DmWFts0OZUo5wmaYnGEpk8vYpu+m7SFRM0HdZkuNUHDkKGi00TAaWlGWt8Hjn49hmMFJj1fWB/o7Zabnmh690ZmQ2f1tqcCODa6e5m/ZYnhYAM4fbhLMLjtQgCPVrhvu9WeCx47BuJdfQMCI4TA0NeHQM8/j2Eef9Mp2l0qtwLmXjifTaOzfVSSCSV1hSHI60sZNF0m1v3/7Kdrt/O0Ejo6EMkQDQ7MO1dsKu11ORQ+tsVMm18GDndoiHx+ZeZOrLHcDDPoWj39GhmEGHz0uenrDNpsZWFEURoN3x1uENN7ydqdHYlFyJCZFB4ttLtL35NUOjlGIOixMjLtizz5TfFz49QpkPPYk9A3eL+ziEkMwe0GqOP7hy32orbYfNWHJzDMuhFKlQWl+Ng7t2mjzOj5yGcLnJIljKnr09a3dXJoli3za5KJRu0RI1Fio/SJg0DeLMRfDMIzbRc9jjz2Gv/71r+YTiZkJiqe3/PyVV3Lo34mC2ZHZXqenB+Otzk6PdzU9lsU66XuGaDWobdXj2U2ZIp9rMCBTKJB87dVIv/duyDQa1O7dhz333I+mgu4dk54yd1EqYuOD0NKsw4r/7ba7yWeJNjAEUxacLY43/rwcrc22C07/1DBohgSiXW9E5Z+53S4nQTMJmylBev/+/dbdnqGmTS6KpjDoXCvGGIYZ/LhU9NA7Kn9/fzHKkk7S5+lJx/Lz9jw4mEEsZO6NTo8X87fsoVHIcc+MNIyJCITO2I4P9+bik3150A3wrS6J8FkzMPbZf0IdEY6WomIhcK7ZvcfroaTnXTYBSpUcudmV2LQu26WvGzfzFIRExIhcrq2rV9gtTCPmJYvjuv1laO2S+0VGhbRQIbk06yyiOUKjx0PjHym6PaW563vwEzIMM5gwxWA7oaulNcNYCZmdano8L3pqejlLyV+pwN8nD8WPR0qwMqsYf+RX4FBlPU5NicKMIaFQWqTJD0T8k5Mw9sXncOjp51GfmYmMx59CynXXIGbx6V77HmERWpx27ih898Ve/PZzJlLSIhATZ1p0cJTLNeesy7Dygxexd/MajJgyB+HR8d2up4kJgHZ4OBoOVaD892MYsmSU1Uh97Nix2L59O+rr64VjvCRwpm5P7NBFyNn7qVhfj0yYBYXK32s/M8P0Vyhna8OGDVav2xQ98eabbwpvq5CQEJx66qn4v//7P6GLk6Csrc8++0xsRQ4bNgz33nsvpk+fbvf7ZGVl4YUXXsCePXsgk8lEE+T+++9HbGws+jMD+xmd6R9CZrvbWx01tVGP9nb3uifhfqHivKyx90dOMh8fEUp625Sh0KoUKGtqxSf783Dfb/vxXVYxcmubYBzAgn2KsBj91GOImHeScHHOefc/yPnPB3ZFxJ4wfmo8ho+hral2fP3pTpfcmhNSR2Ho6MnifvyxcqndpYjw2UnwkfugObcGTUerrS4jo0LpiXnLli1oa+sUzQdHjYFvQIzY5GKXZuZEYOnSpcJM2BJ6U/D3v/8dp5xyCr755hvhsffjjz/i8ccfN1/nrbfewhtvvIG77roLK1euFM7nN910E/Lz821+n+rqalx99dWiaKLi6r333hNLBdddd12/3+jmoofxGIV5Zd1xp8eTbk+kNlycVzXVQG+wXlnuLUZHBOGZeaNw0Yg4hGpUqG/Ti+7PU38ewu2/7sXr24/gq0OFWJdbjn1ltcipaUReXROKG5qFw3NNSxsa2/Ro0RvQajAKrVN/KZZkKhVSb78ViVdcJj4u/u4HZL74EowWRUJPoO7LmReMRUCHW/OqlQdc+jrK5VIoVSg6molMO6JmCiMNnmh691jx+7Fu8RTkIRYcHIzm5mbs2LHD4j5Rt+c08yYXZ3IxgxVyKL/xxhvx4osvIinJtAAgsWzZMjEGpsuTkpJE+CjFSX333XfiTQIZDFPRcvfdd+OMM84Q16Ek9vj4eKv/J0tWr14tvu75559HWloaRo8eLbo+2dnZ2LlzJwb8eIthbCFz0ZzQXPQo1W7lb6nlKrQa2lDRVIXogEgcD0jnszA5EvMSI7CjuBpbiqqQVd2AZr0Be8vqxMld6FEizTd1lOikUcigVSqgVSvEOZklkn9QjFYjTuG+asg7ROLehAqTuCV/gToyQrg3V/65CRk1tRjxj/ug0Gp7fPt+/iqcc8kEfPrOZuzYlIthwyOQPtqUnG6PgOAwIWre9POX2PDjMiSmj4Ovf/f7EjItHrX7SkU8Rd2+UgSNi7ZKiJ41axZ++OEHbNu2DePGjTMnSAdFjIBfYDya6vJRcvQ3xA83CagZxh7Ucewrt3aVXObRRjSFgJPGjbo0NMYqLOxcWrjmmmvE+MkSmUwmNHANDQ3ia+kNw+LFi63+p+i27DFjxgzRHbIcj0nfg7I6+zNc9DA97vTYG29BJu94yW93e4NLiFj9w1BQVyxGXMer6JFQyHwwbUioOFFRRx0d8vMpb2oTKe2VzW2io0MCaOro0DkJoG09EvQ5eohoPZ4+oi4QbYyhwf73jvJTIyXEH2mhWqSGBiDM19octKfxFcrgYOHjU5dxQKS1j3r0YSF47ikpaeGYMS8Fm9blCI3PkIRgaAM7nxhtMX72qcjctQlVpYXY9MtyzP/L1TbjKcJmJqB8bY7Y5AoYEQ6ZqvPpKz09XbTx6R0vrbAvWLDA/Hc0ZNipyNr5H5QXbEJU0klQaRzrjZgTu+B5bvNhZFf3TXbbsBB/3Ds9ze3CZ/78+eJki5EjR1p9rNPp8OGHH4ruTGhoKI4ePSrMhjMzM8Vo7NixY0LTQ92giRMn2rzNuLg4cbKEcjmpCJKsJPorXPQwXggctTPe8vER3R4yJ/REzNxZ9PStazJ1XZKD/cXJGZTrRSMt6UTFjtXHRqDFYEBDqx71Oj0a2vRijFbe2IrixhaUNrSgzdiOwoYWcVqfb9I0UdEzMjwAE6NDhLkiFUY9NTIc88yTOPD4P9GcXyA2u0Y++iD8u7TGPeHk09Nx9HAFSorq8O2yPbj0uqnwcXB/5XIFTj73Snz1ztM4sO0PDJ84C7FJad2uR92dml1F0FW3oGprIcJnm6IwpL81ygVcvny5EDTTkzUJNomAsDRog5PRUHMUJTlrkDDSlAHGMLYYzM5zer1eCJRJhEz6H4K6PS0tLSJAnDQ9JET+/PPPhf3MihUrMHToUKe3S7qeTz/9FA899JAopPozXPQwHiONYOx2ejp0Paaix33tSKR/2HETM3sLUzHi+dMmFUbUSSqob0ZWVYM45dY1ic4SFUB08lPKMS4yCFNjQzAyPFCMzDyBCpyxzz+NjMeeQnNBAfY98DBGPvwPEWDaExQKuVhjf+/l9SKQdOufxzBtjmn13B4xSakYOWWuKHrWrfgYF/39MbHh1c2wcG4yir89iJptBQgaHSX0PhIJCQlITk4W71xpe+Wss84yfZ2PD2KHnYrD299GReFWRCXPg9q3fz8xM30D/a1Qp2WgjbdcgYqb22+/HVu3bhWiZdp8lJYBqOj5xz/+IfQ+kk5u165dopAh4bOjztirr76Kf//730L4fMUVV6C/w0JmpseOzPZW1i03uNo9ECNH+pvGLWUNAz8fy1WogAn3U2N8VDAuGBGHf8wajldPGYf/mzIMJyWEI1ClQJPOIHLDXt2WjX+sy8APR4pR0+J+J41QR0Rg7HP/FIUORVdkPPoEqnft7vHPEREdgFPONrXVV39/EKXFzuf8M069ABp/rRhz7f7zF5vX8R8WCt+EILQb2lH++9Ful1O3h140KIi0yCJ0NSB0KAJCU9HebkDRkVU9+tmYwQ39/agV8j459VbBU1ZWhssuuwy7d+8Wq+lScUNER0ebR8SWjwF1eAoKCuzeJo3J7rnnHrz99tt44IEHREE1EOCih+mxI7M9c8Ke5m9Fak2dnvIB1OnpLXH16IhAXD46AS8sGIN7pqfi5MQI0fGhDtCKw8W4/7d9eHfXUeTXuR+nQSLmkY89jOCJE8Q218GnnkHlpp6HlVISe+oIMgg04ptPd0Gvc7zGTgLm2WdcLI63rVmJuqpy21qv+SmimdaYVYmm3Bqry8PDw8W7VOKPP/6wWoMfkmryJqoq3omm+t5LoWeY/gQ5ltOoilbKly5d2k1zM3nyZPF/RQWRBP3fHDlyBImJnSPkrtCY7Oeff8a//vUvc0LDQICLHqbHnR57MRQ9dWU2d3pO8KKnaycoLTQAl46Kxwvzx+DqsYkYGuIvtEPbiqvxxIZDeG3bEbdDVOVqtdjiCpsxHe16PQ49/yLKflvXo/tKT6RnXzQO/loVykrqseaHQ06/Jn3CTAxJGQ69rg2/r/zUpnePOtwfwRNMK+wkbG7vMoqYOXOmaNnTBgut0Er4B8UjJGqcEJMXZv3Uo5+NYQYKzzzzjPDboZXy0NBQYT4onSizjjQ8559/Pp566in8/vvvYjz85JNPii7PpZdeKm6DrkfXpzEY8fXXXwuvHxI7T5061eo2pev0V7joYXosZHbY6elB/pak6altrUeLvn8bXvXV/H9mXBjun5GOh2cPx5SYEKEm2ldeh+c2HcYrW4+IrTNXkSmVSL/nTkTOP1mYGGa98jqKf/y5R/fRP0CNsy8eL463rD+KI4fKnBZK8875K2RyOXIz9yI7w7ZPSOjMBMh9FWKFvWZ3sdVlAQEBZmdm6vZYCu1jU08DfGSoqziE+qojPfrZGKa/Q8UKFSc0iqJuz+zZs61OxcXF5mxNKnxIiHzOOefgwIED+OCDD5CSkiIup+vR9em2iO+//16ck09P19uUrtNfYSEz02Mhsz2fnp52evxVfvBX+qJR1yxGXPFB/dvevC9JCPTDDROScU5aDH7JKcXGgipkVNQhY0MdpsWG4Ny0WKEVcoaPXI5ht94Mua8vin/4ETnvvCe0PuTv4yk04po6OwlbNxwToaR/u2suAhyssYdExmDSSYuxbe1KrP9uKRKGjYJK49t9hX1OEspWHUHVxjwEjIiEwq/TF4pa+LTFRc6xdE4Os4TGLxwRcdNRnr8RBYd/wPBptwoTQ4YZLDz77LNWfjv09+8MpVIpujZ0sgWtp9NKuwQVRAMV/m9nei5kdrDp0BNND8EjLveI8tfgr2MS8cTckZgaY1rZ3lJUjYf/OIBvDxe5tJXiI5Mh+fprEHfhEvFx7idLkffZMrsxEa6w8MwRiIoJQFNDG1Z8trubq3JXJs1bjKCwSDTW1WDTL1/avE7g6CioI/1hbDWgcsMxq8vUarUwUCP+/PNPq5Z7TMopkMnVaKorQHXpPo9/JoZhBh5c9DC93OmRtrc82y4ir54TbYPLG0T6q3H9hGQ8NGs4RoQFCP+g74+U4JE/DmBXSY3TAobGTImXXYLEK00rqPmfL+9R4aNQynH+FZNEGvvRrAr8+ZvjNHaKpjj5vCvF8b7Na1F09HD3+yjzQcQCk4dI3d5StJRY65jImTksLEwUPGRYKKFUa4VJIVGU9ROMxuMTc8IwTN/DRQ/jMXJJyOyo0yP3PGl9oHr19CcSg/xwx9RhuHFCMkI1SrHt9dbOHPx7Zw5qW53/TuL+ci6SrjEVHwVffIm8pf/zuPAJj9Li9PNGi2NKY88/WuX4ew8dKbx7iDVffSDEzV3xHRKIgBER4rh8bbbVfSNb/Hnz5olj2kyprOz8G4pKnAuFSovW5kpUFPR8U41hmIEBFz2MxyhcWln3XNNjGTza167MAxnq2kyKCREjr9OHRoH057tKa/HoHwewubDKaREz5JyzkXytKRqiYPlXyPv0M48Ln3FT4jB6QqwYb329dBeamxyPPWedfhH8AoJRW1mKrWu+tXmd8LlJ8FHK0FJUj/oD1kJpCk8kMSaJmWkzRUKuUCN26CniuDj7Vxj0/XvjhGEY78BFD9PjTo9LQmZDzzo9J7pXjzcg87O/pA8RhocJgSQQN+D9Pcfw5o4ckRDviNizz0TyddeI44Ivv0bux7bXyV0pwBYvGYOQMD/UVjeLfC5Ht6P29cO8c00jtl3rf0Z5UW636ygC1AidniCOK9Ydg6HZ+m+Nuj3U9aFV3JycHPPnw4dMg9ovAnpdI4pz1rj9szAMM/Do86KHWs7k6jh9+nRMmDABN9xwg5W3BjMQYigcjbd62OlhIXOvbHo9MHM4zk2LgdzHB3vKqOtzUKTKOyL2rMVIueFacVz49QrkfvSJR4WPWqPE+VdMhEzug0P7SkQiuyNSRk7EsDFT0G40Ys2XH8Bgw907ZHIsVGF+ouCpWG99e5TBJQUnrlu3TqzxEj4yOeLTTVEVZbnr0drE3USGGez0edFzyy23IDc3VyS0fvnllyKlldwdKeqeGSCdnl5yZLYUMjfpmtHQ1jfJx4N1NLl4WIzw9yHdT5PegLd3HcXH+3JFCrw9YhafgZQbrhPHhd98i2MffuxR4RMbH4wFi00ZX798ewClRY5jKuaedRnUvv6oKM7D7vXdIyoolytyoSRqLkFzl9ujN1W+vr5ihd3SeTYwfDgCw9JEPAWtsDMMM7iR9bU99pAhQ4QTJIWfUdbHzTffLHJCKAWWGSjbW8Ze295SK1QI0gSK47IG7vZ4myEBvsLckLQ+9NukQNN//nnIYZxFzOLTkXLj9eK4aMVKHPvgQ48Kn+lzkjGsI6biq092oq3V/haVX0AQ5px5iTjeumYFqsutDQkJ3/ggBIyKFMdlv2ZbrcXTCjsZpxG0ydXU1GQet8VRt8dHhpqy/aiv4i4zwwxm+rToCQoKErkdaWlp4mPKBvnwww9FANqwYcP68q4xLqCQHJkdaXp6uL1lvcHF44fe6vqQ1ueOqakIUitR3NCCpzdmYl1uud1iJub00zD0pr+J46KV33uk8aGV83MuHgdtoBoVZQ34ZUWG04iKhNTRMOj1WPv1f8W4qyvhJyVDplGgrbwRNTut87VGjx6NiIgItLa2Cu8eCV9ttDAsJPIzv0V7e98kbDMMcwKMtyQefvhhYSb2ww8/4J///Cf8/Pz6+i4xXhlv9UzTY+XVw7qeXmVEeAAenTMC4yKDhK/P0ox8/Hdvrl1Dw+jTFiHlxhvMGp/8ZV+4/T39tWqcd9kEESC6a2s+9u8sdBxRcd6VUKrUKD6WhT0bV3e7Drky0zYXUflnHnT1nfElJGaeP3++OCaXWsmCn4gdughyhS+a64tRUbjN7Z+DYZiBQb8peigX5KuvvsKZZ54pdD4ZGY7f9TH9SMjsSuCoh+Mtgjs9x48AlQK3TErBkuFDxLhrU2EVnt2UifIm29lnMaefiuTrTOvsVPTQZpe7JA8Lx5wFqeL4+y/3obLcflhqYEg4Zp1xkTgmp2ZbY67AMVHQxAagXWdAxdrObS3JTn/kyJHiePXq1eZcLoXKHzEdK+xkWGjQsaaQYQYj/abooXEWtZ+py0M6n08//bSv7xLjcqfHle0tz4TMlhtcvLZ+fKCOyqkpUbhzWqoogvLrmvHUn4ewr6zW5vVjzzrT7NxMkRWF3650+3uetCgV8cmhQtfz5Uc7oNOZNqxsMWrqPMQPGwWDXofVy/8DY8c2luX9jzxlmOgeNWRVojHb2gRx7ty5QuND2kHLXKLI+JmdK+xH17r9MzAM0//p06KHNDw0ztLr9VYtaCqA6AmJGQSaHvP2lhc6PSxkPq4MDwsQMRYpwf5o0hnw+vZsrMwqhtGGdoecm+MvMXVgjn3wEYp/+Mmt7yWTy3D+FRPgp1WhtLgeP3+93+51qaiZf/7VUKl9UZqfI/x7uqKO8EfwpCHiuGx1Noxtnc8x/v7+mDVrljjesGEDGhsbba6wtzSWu/UzMAzT/+nToqeiogJ33nmnVS6OTqcTsfa0ycUMkO0th5qenm1vWbkyN1X2KPSScZ9QXxXunpaKeQnhoEf+u6xivLvrqM219viLLjCnsee8+x+UrOquuXFEYJAv/mKh79mzLd/udQOCwzDnrEvF8ZbVK1BR0v26YTMToAhUQ1/f2s27h3K5IiMjhaj5jz/+sF5hDx8uVtjzDn3Df28MM8jo06KHtrao1Uwr69u2bcPhw4dx//33o66uTnj1MIMge8sLnZ5wv1Dx7l5n0KG2xbGfC+N9lHIZLhudgKvGJAozwx0lNXhh8+FuLs70O0q4/FLEnmPqlmS/9TbKflvn1vdKSYvASYtM25w/fLUPpcX2f9/DJ85C0ojxMBr0WLP8P91MC2UqOSIXmbZAa3cVo7mwzqqjvHDhQnFMb7IKCgo6f4bh58BHpkB9ZRZqOIWdYQYVfa7peemll8TW1h133IELLrgANTU1WLp0KWJjY/v6rjHeSFnvoSMzoZDJEeYbIo5LOG29z5gVHyZ0PlqlHLm1Tfjnn5ni3BIqGpKuvhLRZ5wGtLcj67U3Ub6+cz3cFeYuTBXFj15nFPqe1hbb/j30vU4+7yphWlhelIftv33f7Tr+SSEIHG3y7in9JQtGfWeBHhMTI/zBiDVr1pidmtV+4YhOMgWV5meuhEFvW8TNMMzAo8+LnoCAADz22GNitr5nzx68//77SE01bXIw/RuFzAUhsxdW1on4oBhxnldrekfO9A1poVqR3RWj1aCmVYfnNx/GzpLqbsVIyvXXIuqUhYDRiMMvvYLKTVvc8u8577LxCAjSoLK8Ed8vt5/P5R8QZM7m2v7bdygrPNbtOuHzUiD3V0JX1YzqzdZjMDIsJBd4GrXv3LnT/Pno5PlQ+YZC11qL4hz3xnQMw/Rf+rzoYQYu8g4hs94Vnx6D59tbRFJwvDg/Ws1FT18T4acWLs6jwgOFh8+/dx7Fj0dKrAoTH5kMQ2/+GyLmnSQKn8wXX0LV9h1u+fcsoXwumQ8ydhdh+0b7+VypY6eZs7lWf/Ee9DrrvzW5RoGIBSaNYNXWArSWda7EUzTFSSedJI43btwoOs2ETK5E/PBzxHFp7h9obih1+b4zDNN/4aKH8Rh5R6fH2MuOzERSSJw4P1ZjX9zKHD/8lHLcOnko5idGiI+/OVyEj/blCVNDy8In9bZbED57Ftr1ehx69gXU7OlcEXcGrbAvONOUz7Xq2wMoyjcVJLY46Zwr4KcNRFVZETb+vLzb5QFp4fBPDQOM7Sj95YhVRMWoUaOQkJAgtkh//fVXc/EWHDESQREjgXYj8g+yqJlhBgNc9DA97/S4Yk7Y06Kno9OTV1sEg9G+hwtzfDVdl4yKx2Wj4oWR4Z8FlXhzRzZa9J2/Hx+5HKl33IbQaVPQrtPh4D+fRd2Bgy5/j+lzk5E+OkqMUL/8eAeam2x3DH39A7BgiSkIde/G1cjN7F5cRS4YCplajtbSBtTsKLQax5GoWaFQIC8vTwibJeLTO0TN1dmoLukMKmUYZmDCRQ/jMQq3Yih6Nt6K0oZDo1CLDa6ieh419CfmJUYIF2eVzAf7y+vw4uYs1LV2FrkyhQLp99yF4IkTYGxtxYEn/on6w64FClNBcs7F4xES5oeaqmas+N9uqy6NJYnpYzB2pmkja82X76OpwXrzS6FVCX2PFFHRVtUpwg4JCRELFcS6devM3j1qv1DEpCwwi5r1OvtBrAzD9H+46GF6NWVdptSIc2MXnYW7yHxkSAzuGHGxrqffMS4qGHdNT4NWpUBuXROe2ZiJkoYW8+UypRLD778HQWNGw9DcjIzHnkRDzlGXblvjq8SSv06CXCFD1oEy/LHafsE087QLEBo1RBQ8a7/6oNtIija5/BKD0a43ovSnLKsCavLkycK7p6WlBb/99pv581FJ86Dxj4K+rQEFmd03xBiGGTiYnOMYpreEzCpT0QOjXhgUSivsnpAUHIfMimwcrcnHHEzFiQa9gJc0lONwRQ4K60tQWFciojnqWxtR19YAvVEPchCU+fjAT+kLf5Wf8DiK1kYgOiACQwJjkBqahEBNQK/cP3Juvn9GGl7dli2yup7blIm/Tx6KoSFacblcrcaIB+8XBU/9oUxkPPoExvzzCfglmEaXjoiJC8Li88dg5ed78Puqw+LjtJFR3a6nUKqw6KK/4Ys3n8CxQ3uQsXUdRk872Tqi4tRU5H20Ey3F9ajeVoDQafFm755FixYJy4zMzEyR0ZWSkgKZTIHEUUuQufUtVBZtQ2jMRASGmfx/GIYZWHDRw3hByOyo06M2HxvbWiD39bzoSQ4xvTjlnkBi5hZ9K3YXZ2BLwS5klJEhoHNzRkN7O+rbGsWJiqT9ZZlWl1MRlB4+FONjRmJc9EhoVf5eu79R/hpR+Ly2PVt4+PxrSxZumJCM8VHB4nK5ry9GPvIgMh55HA1HsrH/kccw5ukn4euCL9f4qfFCzEybXN8s3YXrbp+NsAhTQWVJeEy86Phs+OF/2PDDMsQmpyM0svP2lYFqRMxPEZ0eGnP5J4dAHWm6naioKEyaNAnbt28XgaRkkqpSqaANTkJE/HSU529C3oEvMXLmXWLDi2GYgQUXPUzvdnrkCtHdoS5Pe1sL4BvQo06PNN6irge9ax+M0M9GHa2fj/yOHYV70Wqx7q+QKTA0NBGJwUMwJCAaUdoIBKq1CFD7QyVXCUGxod2IJl2z6ABRJ4gKn5KGMhyrKRDdIdPH5fj92GYxNhwePhQz4idhZsIkBKi7FxHuEqhW4p5pqXhn11HsK6/DWztycPnoBMxNMMWJKPz9MfKxh7H/oUfRdCwX+x9+XBQ+miiTiaAjTj1nFEqL6pB/rBpffLgD1942Cyp196excTMXIvfwXuRnZWDVsndwwc0PQd6hLyMCRkaawkiPVKHkp8NIuHw8fDo0ajNnzkRWVhZqa2tFRIXk3Dwk9QzUlB1Aa3MlinN+FR8zDDOw4KKH8YKQ2X6nRxpxtTfrRKenJ8QFxYoXaepgVDZXi9HNYIK20tbnbsUPh9cit6bAKnB1evwkTIwZjWFhSVC50GEIg8nBGrA2+mxoa8SRymPYX3YYu4r2Ib+uGAfKs8Tpw93LMSFmNBamzBZdIHqsPUWtkOOWSUOxNCMP6/Mr8cn+PDS06XH60ChRrCoDAjDq8Uex/8GH0VxQiP0PP4oxzzwFdZgpXNYepOtZcuUkvPfyepSX1Itx1/lXTOxWANO6/MIl1+F/rz6MiuI8bF71NWadcVG3JPa8wp1oK29C5cY8hM9JEpcplUqccsop+PLLL4VhKpmlJiYmQq7QIGHEucje/RFKjv2OkOjx8Atg53iGGUiwkJnpsZCZtKCOvHpkKl/T9dqae/T96MU+LjBm0ImZje1GbMzbjjt/fgJvbf1YFDz0sy5ImY1nTrkfry9+EpePOw8jI1NdKngcQaOs8TGjxO396/RH8MbiJ/HX8ecjOTheFF3bC/fg2fVv4vYfH8OPh9eKjlFP/j6uGJ2AM4ZGmb18lh8qNKe0q4KDMOqJx6CJjkZraRkyHn4MbR3mgI4ICNTggr9OgkzugwN7irFpXY7N6/kHBos0doKS2HMPW+doKfxVovAhqrcWCI2PBBU5FEpK/PLLLyKYlAiOHI3gyDHCuyc340u0tzsu+BmG6V9w0cP0OHDUaf5Wh5hZjLd6iHnEZdEJGciQKPmBVc/ilU3vo7i+TIyXLht7Ht4+6xn8bcplYpTVm2M8SrA/M30hnjv1H/jXaQ/jzLQFQgRN468Pdy3HjSsfwNI936CupbMgcAe67+elD8EFw4eIj389WoYP9+aa/17UYaEY9eSjUEeEo7mwSGh9dHV1LhkXnnbuKHG85oeDyDlsO5MtZeREs5CZ3Job6qwjM7Rp4QgYESEE4CU/HoZR1+kxRGHIQUFBqK+vF2vsEtTtoa5PU10+ynLXe/S4MAzTN3DRw3iMoqPT43RtvaPo6el4y8qZuXpgi5kb25rwn+3/w8NrXhTbaL5KDS4cfZbovJwzYhG0au+Ji10lPigWf52wBG+f9TSum3QJhgRGCyH1t4dW4ZbvH8LHu79CTXOtR7e9KCUKV49NBP3JbCqswr935ogIC0ITGYlRTz4GZUgImnLzxHaXvsHkk+OISTMSMW5KHOWa4qtPdqDGwnfHktmLL0F4TAKaG+uFvsfYESwqQREV5OGjq25GxbrONXoSMJ922mnieP/+/cjJMXWUlOpAxKWdKY4Lj/yMlsYyjx4ThmGOP1z0MD0WMjszKDQXPTpvdHriB3wcxc6i/bjjp8exKvsPtKMd85Jm4PUznsCSUWeI4qev0Sg1WDRsLl467RHcO/smDA1JFGLq7zNX49YfHsEX+79Hiwe/y5lxYbhpYooolveU1eLVbUfQ1NFZ8Y2JwWgqfIIC0ZidgwNPPAV9U7PTLhKtsdP6enOTDl98uB1trd0T2RVKJU679CYoVRoUHc3EtrUru2VzRZ2eJo5r95QIgbNEXFyc2OYiVq1aheZm030KGzIVgWFpaDfqcWz/52hnl3CGGRBw0cP0eGWd0DtKWld6f7xV1lgpuiUDCXKTppERaWZo9TwmIBKPzLsdN0/7a6955/QEKiomDxmLp0+5D/fPuQXDQpNE8fNlxg+47cdHsSZ7g0O7AlvQ6vrtU4ZBo5DhcFUDXtxy2Oze7Bcfh1FPPAqFVov6zMM4+NTTMHRoaeyhUMpx4VWT4adVoaSwDt8u22PTsTk4PBonn3elON7223fIP5JhdTkZFoZMMY3gSn/Jgr6+8/vOmjVLODaTS7NkWkiPTeKoC8SYq7E2D6W5v7v1ODAM0zdw0cN4DCVgSxMux0Jm7423aOwjbW1Zbjj1dyg648HVzwtxMHF66sl44dSHMDoqHf0deoGfGDsa/1x4L+6YeR2i/MNF0fbO9qW4Z9U/hX+QO6SHBeCeaWkIUCmQX9eM5zYdRkWTqcjwT0oS6+xyPz/UZRzAoaefg7HNsZt3UIivKHxI2HxwbzH++NW2Y3Pa+OkYNfUk8gTAqs/fRWOdtWg6bHYi1FH+MLboxRq75OZM21ynn366eBwOHjwo1tkJlSYYcelni+OiI6vQXF/i1uPAMMzxh4sepkeQi62rrsze6PQQSR0mhQNFzEzjLBIr0/0lofJ9c27G1RMv7PEm1vGGXvTJz+el0x/BleOXCMfn/NoiPP7by3hj84eodcE4USIhyA/3Tk9DmK8KZcK9+TAK602jo4DUYcLAUKbRoGb3Hhx6/l8w6hwH1iYkh+LMJWPFMTk2H9hTZPN6c868FGHR8WhuqMOqz9+x6lSRT0/04nT4KGRozqtF9bbOUNKYmBhMmTJFHFMSe0NDgzgOi52MoPARaG834Nj+ZTzmYph+Dhc9TI9QdOh6XBIy92D92ZKUkARxfqg8G/0Z6hSsPLQKz61/C836FoyIGIYXTn0Qk2LHYCCjlCuxOH0BXl/8BBYNnQsf+OCP3C1izX3VkT9cHnlFazW4b0YaYrQa1LTq8Pzmw8ipMQmYA0cMF5EVMpUK1du24/DLr6K9iwDZlmPz9JNMgaIUTFpcUGszpsKk71GjMOcQtq351upyVaifcGsmKjfkoqWkc2uNAkkjIiKErufnn382G2RSRIVc4Yum+kKUHDV18hiG6Z9w0cN4KXTUwXhLKfn0eKfTMzZquDjfV3pQeMv0R9oMOry55SN8uucbIVYmw7+HT/o/hPqa4hgGA+T5c93kS8TYi3x+GnXN+M+O/+GhNS+IDpArhGhUuG96GpKD/YSo+aUtWThQYeoYBY8dg+EP3AsfhQKVf25C1mtvot1JQbXwzBEYOjwCep0Rn3+wDQ113f/mQiJiMO/cTn0PZXRZEjgmCtrUMGFAVfJDJoxtpr8xhUKBxYsXi/Pc3Fzs3LnTvM2VMOI8cVyUsxpNdZ0dIoZh+hdc9DBe8epxKGT28niLBLUBKn/xIptV6VpS9/Gkqa0Zz/zxhuh+kKvxNRMvwvWTL4VCPjgN0MklmsTOV024AL4KDY5UHcN9q57BNwd+dqko9VcpcOfUVIwIC0CrwYjXt2djZ4nJTydk4gSk33sXzVFRvu53ZP/7nW7J6V11ZudfPhHhkVrU1bbg8w+3Q2/hvSORPmEGxkyfL/Q9v37+LmqryqzdmhcNgyKA1thbULb6iPl7hoWFYd68eeJ4/fr1KCszfR25M5NxIZkWHt33GYwW0SEMw/QfuOhhvDLeOl5CZnF7MhnGRo8Qx7uKrbdw+prq5lo8+ttLQtxLBcA/5v4dp6XOG7Q5YRJymRxnpM3Hy6c/KuIyKPH9f/u+FV2fgtpip1+vUchx6+ShmBgVDL2xHW/vPIoN+SbDwbBpU5F25+2i8CldtRpH//OBw8JH46vERddMFueFuTX4fvlem9cn/56o+KFobWnCT5++AV1b58YWBeNGn5EOCjOrP1COuv2l5svGjh2LoUOHwmAw4IcffoBOpxO/34SR50OhChC+PQWHv/fgUWQYprfhoofxkpDZhU6PF3x6JCgjiqAE8v5CSX0ZHl7zgtgqC9IE4rH5d5qLsxOFUL9gIdS+eepfhbNzdlUu7l31NFYc/MVp10cpl4lE9llxYWSQjI/25WFVjqnYiJgzC6m33iyOi7//Ebkff+qw8KH09SV/nQQfmQ/27ijEn2u767/kCgVOv+wW+GoDUVGcj3UrPra6Td/4ILHRRZSvyUFrmUm8TAXOokWL4O/vj6qqKvz+u2ldXanSInm0Kd+L0thryg948AgyDNObcNHDeEfI7MicUOndTg8xrqOYIDdjT12CvUleTaFwVyb/IFrpfnLB3Uju2DI70aCiYF7yDGFuOKGj6/PZ3hV47LeXxePjTCN25ZgELEo2Ja5TVtc3mYWiGImcfzKG3vQ38fnCr1cg//PlDm8rJS0cp51jiqpY++MhZOzurjPSBoXgtEtuEgGlmbs2Yt9mayFyyNQ4+CWHoF1vRPF3h2DoMD/08/MTa+wEhZIeOXJEHAeGpyMycY44zt3/BXStrm+0MQzT+3DRw3jFoNBwHMdbBHVSyCmY2F3St++oKRKD1rZrW+uRGBwnCp5obQROdKjrc39H14dGfZkV2bjnl6ewIXer06JpyfAhOC/NlGD+Y3Yplmbki6DS6NMWIflaU4ho/v8+R8HXKxze1pTZSZg2J9m80ZV/tKrbdYakDMfM0y4Uxxu+/x+Kc7Os7kv0GWlQBKhN+p5fOvU9FEo6efJkcyhpXUdm2JDUM+CrjYFe12hya+ZQUobpN3DRw3gliuJ4CpklxsWM7HNdT05VHh5f9wrq2xpFOOijJ9+OYN+gPrs//bXrQ6v6aWEpaNa14LXN/8Xrm//rMMGdvu6MYdG4bFQ8yWrwe14F/rP7GPRGI2LPPhOJV1wmrpf70Sco+v5Hh/fhlLNHIn1UFAx6I5Z9sA1VFd1zvcbPXoRhY6bAaDTg58/eQmN9rbW+56x0kBNnw+EK1O7u1CjNnj0b0dHRaGlpwffffy90PjKZAsljL4OPTIG6ysMoz9vo4aPHMIy34aKH6REKqdNznLK3LJkQYxpd7C050Cer60cqj+HJda+IOIzUsGSxkk5r3IztNPfH59+JJaMWi4Jmfe5W3PvLP0XKvCPmJUbg+vFJoNp6W3E13tyRIza84pb8BXEXLhHXOfre+yhZ9avDja7zLpuA2HhTRtdn721FU6P1dhXdp/nnX4PQyFjh1PzjJ69Db2GI6BsbiPC5SeK4/LejZv8euVyOM888E2q1GsXFxWKjS1xfG4W4tLPEcUHWD7zGzjD9BC56mB5B1v/OzAl7q9OTGposXIFNq+vHcDyhF+snf39VfO/08KF48KRb4acy+REx9je8Lhx9Jh4/+S5E+IUKfc8ja/+Frw/8BKODEdCU2FD8ffJQqGQ+2F9eh1e2ZqFJp0fCpRcj9lxTDET2W++gbJ39/CuVWoGLr5kiIiuo0/P5f7uvsqvUGpxxxa1Q+/qjND8bv33zoZWwOXhSLPyHhQr/nuKVh2BoMhVFQUFB5jT2HTt2mGMqIuJnIChipAglzdn7KQx67/79MwzjPlz0MD2CErOdxVBI5oTt+jav2vTT5ti4KJOgeXfJfhwvyAn6n7+/LkY1IyJS8eDcv4tNJcY1hkcMFbljsxOmiGJn2b6VwteorqXT/bgroyOCcMfUVPgq5DhS3YgXNmehvk2PpKv+iugzThN+O1mvvoGKPzfZvQ1toAaXXDcVao1CaHtshZNSMCk5NkvC5l3rf7bqBkWdlgZlsAb6ulYUf3/I/PXDhg0zp7GTvqempkZcP2n0RSKjq7WpArkZyx1unDEM0/tw0cN4xZzQlRiK3uj2SKvrm/J2OuwWeIsDZVn45x+vi1iJUZFpeGDuLdB0bKcxrkNdsdtmXCNEzpRBtqfkoFhtP1Ru2oKyxbBQLe6ZnopAlQIF9aag0srmNqRcfy0iF84nsygc/tfLqNy8xe5tREYH4IIrJ4uRF21zrf05s9t14oeNwpzFl4jjjT8vt3JslmsUiDlnBHyUpnyuit87zTHnzJkjMrpaW1uFvkev10Oh9EPy2MsBHxmqS/eiPJ/1PQzTl3DRw3gnhsJBpwfkRCyTe32Di5gaN150WYobyrCzaB96k/2lh0RHolXfirFRI3D/nFugUah79XsOdkjk/PTC+zAkIBpVzTVirZ08fewVsPGBfiKvyxxUuvkwihtbMezmGxE+d47I58p8/l+o2LjJ4Sr7mReYwkn/XHME2zZ0H42OmbHAnMj+y7K3UVnaqclRR/iLjg9Rs6MIdQfLrPQ9Go0GpaWlWLdunfi8NjgRcWmLxXFB5ndorBsYQbkMMxjhoofpEQoXOj3U5u8tMbOvUoOFQ02+KN9lrkFvsafkAJ5Z/xZaDW0YHz0S986+EWqFqte+34lEQvAQPHPKfZidOFUUO+Tp8/z6f6O+1WQG2JVIf4ug0hZTUOmx+hak3X5rZ+Hzwkuo+HOjw3DSeR2Fy08r9ndLZae/2blnXY7Y5HToWlvww8evormx8/4EpIcjZFqcOKY19pZS02WBgYE444wzzP49+/ebxq6RCXMQHDlKpLHn7PkEei+F7zIM4x5c9DBeWVl32OmhF5GOEZC3x1vE6anzIPeR4WB5lnAA9jZbCnbh2fVvQWfQiYiFu2ffCBUXPF6FRoS3TrsKN0y+DEqZAjuL94txl73tLgoqvZeCSoNIyG7Av7ZkIbOmSRQ+EfNOEqOuzBdfRvn6P+1+zzkLUzF5ZiLI/vmbpbtxNMsUe9HVsTkwJAJ1VeX4+bM3YdCbzAmJsFmJncaF3x40C5uTk5NFIjuxevVqlJSUdKSxXwiVJgRtzVXIzSD/Htb3MMzxhosexivjLcpLckRvGBRKhPmFYGaCySTuu8zVXr3t349uxksb3xMr8dPjJ+LuWX8TGhTG+1BhsHDobJHaTuaOlU3VeHTtv/Dj4bU2CwQtBZVOS8XwjqDSV7cdwe7yeqTedotwbxYan5deQfkf6+1+v9POG40RY2NgMBjFRldxgbW7t69/ABb/9TYoVRoU5hzC2q//a74vFHERvTi9U9j8XaewmYoeKZ/r22+/RWNjo9D3pIy7Aj4+ctSUZaDk6G+98jgyDGMfLnoY7wiZHZgTWhY9vdHpIc5KXyjON+fvREVjd9ddT/g5ax3e3PqReJEj7cnt068dtEnp/YmkkHg8u+gBzIifBEO7ER/uWi7MDFv0nYGglkGlt00eiglRQaLw/vfOHGwqrsGwW2/uFDe//JrddXaTh894JA0LQ1urHp+9t6WbeWFYdJzVRtfWNd9aC5vPJWGzHM35tShfm2MuqCimIjQ0FA0NDfjuu+9EAeQfFI/4EeeK6xQd+Rm15Ye8/OgxDOMILnoY7wiZnXR6fHpJ02P5Qjk6Ml1oQr7vYbeHihzyjvlg5+fi49NTT8aNUy43h6syvQ+J02+fcS2uHL8EMh8ZNuRtw0OrXxChrraCSv82IQUzh4SKoNL/7s3FmtwKDLvlJkQtWigKn6xXXkfZWpOwuCsKhRwXXjUZ0bGBaGxow9J3t6Ch3rrASkwfi5POuUIcb1vzLQ7u2GC+TB3uL6IqCHJrrtlp0geRYeE555wDlUqFwsJC/PabqbMTETcd4XHT6C8NR/d9hpYm67EawzC9R58/i5OfxSOPPIK5c+di4sSJuOSSS7B9+/a+vluMu0Lm/2/vLKDjrNI3/oxrJu5uTWNNm7pL6lABWiiFLlJssWX5w2KL7ALLsrCwuBWHFigtVCh1d0lTibvLJDMZ95n/uXeSoalbpMn9nXPP+MyXyZfve/LK814o0uMZOtp5BZyz+0+hl7+XbMfJxjNbkS8GUrdDojvEO4ZwU8pM3DloPj3xMroWEi25LimLjvYgs9aqNLV4etO/cbj2jxbyDoNKB0RjStug0h/za7C6pAFxD9xH53VRH59330fj5o4DRdsRSwRYeO8w+PhJoW4x0oiP2fSHIzMhbdgEZI53FylvW/kVqkv+GH8iT/SHv8exuQyGMne0kUR6Ti1sPnHC3WEY2X8uZN7RcNhNKD36FRxniWIxGIyrT7cfyR9//HEcPXoUb731FlasWIHk5GQsXrwYZWXnt6dn9LCangsVMndyeouQEZKCCTEjaaTmnX2fQ2VsvaTXkxqSf25/BzsrDlCRc3fmLbglfRY9+TK6D2IA+frUZ6jzNZnX9Z/dH+OHE6vgPK1jkMvhYH7/cMztF0pvry1pwA8FdYi5/16EzHAbGJa8/yEaNm4+p3nh7fcPh0wuREOtFsuWHKQpr1MZOfUmJGYMpzO6fv/uAzQ3VHse8x0aDkVaMC2MblhbCIvSnSYjtT2jRo2i17ds2YKamho6n4vU9/CFXjAbGlGR+xMrbGYwervoqaysxJ49e/DSSy/RacWk6+H5559HUFAQzYEzriVzwgsVMks6rZC5HSJOFg9eQCedk4nnpADZ7uh40joXpBboiQ2v0EngJLVCTAenJ07otG1lXBp+Eh+8OOExmmokrMxbj9d2vX9GWzuNDiWEegaVbqtU4ovjlYi6dzFCr5tBhU/pBx+h/rezDyn1C5DhtvuG08hPdYX6jHEVpK5n8rzFtJXdajFh7VdvQ69Rez47aEo8JJHecFodqFuZB3vbjK8RI0YgMTHRU9isVqshFHsjfuCf3IXNjcdZYTOD0dtFj6+vLz799FOkp6d77iMHDrK0Wm13bhrjEsdQXCi95Yn0dFJNTzvEO+f/Rt9HhUtRSxne2rfkvBGfGk093tzzCRVIZHBovG80/jXlKRo1YvQsSBH5XZk349ERd0HEE1IX56c3voays9gUkEGli9sGlR6sU9MC5/C776IT2glln36Omp9XnvVzQsK9aapLIOTRNvafv8nusH/z+ALMvP1h+AaGUsGz5qu3YTEZ6WMcHhehs/tD4CuBXWdB/a/5cNocnsLm4OBgOpH9l19+oZdynxhE9p/jKWxubeq6cSoMRl+kW0UPMfIaP348LfRrh8ytIREgYunO6EWRHk9NT+cPXSTtzg8Pv5OmqEj9x2O/v4TVBZtQramD3mqA2qTB7sqD+N++z/F/G17GwZoccMDBDcnT8fLkJxHmFYy+isOkh6W+DIaiQ9Ae3QTNwbVo3buSLs2h36DN2Qx9/l6Ya4tg16ng6oLRH6dDTAzb29qVRhWe3/Imtpad6cczPMwPDw2Oh4DLwQmlFu8cKkXQokWIXHAzfbzy2+9R8c13Z00rRUT74tbFQ8Hnc1GU14hfl+bAeco+LpbKMevOv0IqV6CloRprv/kfbFZ3XQ5PIkDYjSngivkw1+vQsK6ItrILBALMnTsXXl5eNNLT3tFFBpOSRQubjy+FkTk2MxidBsfVgxLJ2dnZuOeeezB69Gi89957l/z6rKwsT96c0TV8uSYXK7eXYO74eCye7Z6DdTZa9/4C1bbvIB8wEUGzHu6SbStXV2PJkWUobvljPtLZGBY+kE7/Js7AfQkiWKwNFTCW5cBSWwhLYwUc2kvsJOLxIQyIhCgkFsLgWIjCEiAKiQOnC1r7SWTu/QNf4Ujb+JGsuDE0EnS6j1KxSo/3DpfCZHcgwkuCvwyNh2H9elR8+TV9nAwsJfO7SOrqdIrzG2mKy+lwYeDQSMy6eQD152mnub4KKz/9N6xmE6KTMjBz0cPgtf3spIW99ueTcDlc8B4YisCsOBrxaWpqwg8//ACbzUaj3FOmTAFcTpQc/QLaliIIRAr0H/4oTX8xGH2FrC46f/cY0UOcS5944gnawfXRRx/Rds9LhYmeruebdXlYvqUYs8bG4b65f6QpT0dz+He0bFgCWf+RCL7piS7bPtLCvr18H/XcIVEBcqIkUZ0YnwikBSdhdNQQxPlFo69A/twtdcXQHdsGQ+F+OI1nppF5Mh/wvPzBl/uAI5KAwyORWBdcNgtdDrOBiiMS6SEn67OlMiVRqRDHpEGaMBhC//BO/f2SWV0/nlhDtpCmJx8ffS8CZf4dnlelNeKdgyXQWu3wEwup8OHu3YXSjz6ldT5BkyYg4eEHweG5Z8SdSv7xevz8zRHyNAwbE4Npc1M7FLfXVRRh1edvwmG3IWngSEyef49HQOkKm9Gwxu3F4z8mGn4jIul10qjx66+/0t8H6VwdOnQoHDYTCg5+QAubJV7hSBr6IHjM+ZvRR8jqS6Lnu+++w6uvvorp06fj9ddf75DuuhSY6Ol6lm4owLKNhZg5KgZ/vinjnM/THd8G5Zr3IYkbhNBb/47uwmK30hMlmdnVl3DardDlbIX28DrYWmo7CpTodEhi0iAMiYMoKBpcseyi3tPldMCuUcLaWAFLQzmsjeUw1xbCaepYXCwIiICs/wjIkkZAGBzTKd1wZDbau/u+gM5qgJdQhr+MXIwBIckdnqM0Wqhrc6PBAimfh4eGxMPneDaK33mPevn4jxyBfv/3GLiCMx23jx2uwaplOfT6iPFxmDIrucPPQSaxr/v2PdrVNWDUZIy9fqHnceLb025aGDw90d3h1RbZbvfuIYNKk5KSYDGqUHDgXdhtBjqrKy6DFDp3e5Mtg9Hp9BnRs3TpUvzjH//AokWL8Nxzz13RAZGJnq7nx02F+G59AaaNiMbD8wee83n6gn1oWvEmxJHJCPvTK126jX0Zp80C3dFNaN23Cg692zuGwxdSESIfMAGSqBRwruJYDZoya6yAqeIkTOU5MFXkEsXVQQB5ZUyCPG08jSRdTZSGFry15zOUqitpNI/YDcxNntbBY0lnteODw6UobTXQIvx7MmIQU1VMJ7O77Hb4ZA5C/6efBO8skebDeyuxbsWJcwqfwqP7sOmnT+n14ZNvwNCs2Z7HmndWQH2wBqSlLOyGFMji/GiUZ+vWrcjJyaET2m+88UZERUVB31qBosOfwOW0Izh6PCKS3MXXDEZvJqsviJ7y8nLMmjULEyZMwIsvvtjhMbFYTAv+LgUmerqen7cW4+vf8pA1NBKPLcg85/OMpUfR8MMrtO4j4p43u3Qb+yLkz5qkr1o2feWp0yEpK5+Rc+E1YAK4ImmXbAdJhRmLD8NQsB+mshy47O4WbnB5kCZkwisji15yuGemlS4Hq8OGL7N/wpYyt2Py4LB0WtQuE/7x81odTnyWU46cRg1ta785OQJDNPXI/9frcFosUKQkI/m5Z8CXyy5Z+Bzbswm71i6l18fNuo1Gfdp/H42/F0GXpwSHz0XELekQh3pRr6HffvsNRUVFNMJ9yy23UMsOVf1R6tZMiEiajeBo1tjB6N1kddH5u1vjpqRTixTzbdq0CWPGjOmwSLqL0XvGUPzh09N5jswMN3ZtCxp+eJVG1ojg4SkCEDDjfkQ9+AG8h87sMsFD4Ill8Eofj5D5TyH6sc8RMPMBiML7AU4HjEWH0Lj836j++FHaGea0XPm+QYqY7x96Gx0bQqa1kyJn4uJc2fpHR5SQx8WfM+MwMTqQjq0g7s0bhP5Iful58GRSaPPyceLZv8PScuYMNzKVfeZN7tq1/TvKsHF1Xofur4zRUzB0kjvCs3PN9zh50D36ggij4GmJkMb40KnstStyqXkhGW1CWtkjIiJgtVqxcuVKaDQa+IUOQljCDPramsI1UDW4U2sMBuMaT29dTVikp+tZvasUn/16EmMHhuNvi9yTzs8G6QyqXfJ/tEiWnPwYnYP+5C40r/8UTouRpq28R86Bz6gbwRVcemNAZ2JVVkN3bCtdTrO7BogjkkIxMAuKITMh8HGPk7gSiH/Pf/d8SgvYiRi6b8htGBdDZl65IYe+DWWNWFHonpU1JNQHt3hzUPTPV2FTqyEKCkTKi89DGnFmIfaRfZX47Wd3xGf4uFhMnZ3iifiQ993z+4/I2bWB3s6atxjJg8fQ68S0sHb5SdrKzpMKEHHrAAh9JbBYLPjxxx+hVCqpf9mCBQsgkUhQXbAKyuo91MAwIfMeKPwTrvh7YTB6In0i0sPoRbO3ThsJcK4p6501cLSv47LboFz3MZpW/Y8KHlFoAsLveRN+42/tcYKHIAyMhP/kOxD1yCcImH4fBP5hcFmM0BxYg+qPHkbTmg9gU9Vf0WeQrjwyrZ0YTZK0F2lv/+LIjx6XbiJSpseH0LoeHoeDw/Wt+KzJhvhXX4Y4LAyWJiVOPP0cdIVFZ7z34JHRuG6eO+JzYGd5h4gPed/RM27BgJHu1NaWFV/Qeh8CV8hD2E2pEAbK4DDaUPvTSdi0ZtqtSmp6iHcZ8fAh5oUkCh7ZfzZ8gwfA5XKgNOcrGLV/FKEzGIxLh4kextVJb11o9lZbt5TLaukWQ7vens6q++bvtGCZVMr6jL0ZYXf+C8KACPR0iBhWDJ6GiPvfQcgtz0ESO4CmvvTHt9K0V9Oqd2BtvnyzPi+RHM+MfQjzUt1DP9eXbMdL297u4NI9PNwPfxmaAAkxIlTp8VaxCsEvvgB5YiLsOh1OPv8S1EeyLyh8fl95kpoQtgufsbMWIm34RNoSv3n5Zyg5cYg+xhPzET4vFQI/t2szifyQcRVyuRw33XQTrWdsaGigLe12uwMxaQsg942H02FBcfYS2uHFYDAuDyZ6GFcEr82PxO64uEiP2++lrZiVcVXSRLVfPwtLfQm4YjlCFjwHv3G3XLXC4K6CtGWTgubQhS8i7M7XqL8P8QDSn9yJmk8eQ+PKN+nPejmQupmb02bhqbEPQtY2nuSpjf9CbtMfEZzkAC88NTIJ/hIhmowWvHGiDoLHn4DPoIG0uDn/1X+jaau7Pud04XP9/HTalUWKnFf9kANn298CET7jZ9+O5CFj3am0Hz5Gae4R+hhfJkT4vDTwFSLY1GYqfBwmG53KToQPKWqurq6mrs1OFwcJA++ARB4Ku1WP4iOfwmZhY3oYjMuBiR7GFcHnXVwhM0dAvJc4XTaKoi9grs5H3TfP0WJlkh4Kv/t1SOMH4VpHHN4PIbc8i/C734A0idTguGDI34eazx6naS/iDXQ5kE6u16Y+4xlI+/L2d+h4kva0VLiXBM+OSkKsjxRGmwPvHquC6q77EThhHFwOB/XzqVnpNhQ8lcwR0bhh4SDq1Hz8SC1+/jabRmgIxKRw4g13ImnQKLicTmxY9pFH+AgUIoTPTwNPJoC12Yjan3PhMNsREhKCG264AXw+n3a4rlu3DhyeCAmZiyGU+MFiakHR4U9hs3b0Q2IwGBeGiR7GVYn0XDC9xeGCIxR1ydDRvoCpKhf1y16G02yAKDwJYX/6FwS+IehNiELjEDLvb4i49y23+CGRn+NbUfXRw2jZ9CUcZ3GTvhBkXtcrWU9iXPRwalL53bGVdNisqW2fVIgEeGJ4PwwN9QXZpb/JrcGJ6TchdK67I6vy629R9vGnVASdSnpmOG6+YzCdRVdwogE/fH4YVovdE2kixcyJGcPhdDiwfumHKDp2gD5GiphJxIcn4cPSqHdHfMx22s01Z84c6t9TXFyM9evXgy/0Qr/B90Mg8qauzcVHlsBuY92QDMalwEQP44rgtUV6LpTe6uqho71d8JCWdDISQhI3EKG3vQie9NI8ra4lhEHRVPyQtJc4OhVw2Okg1KoPHoR610+XbIMg4gvx0PA7cM/gBeBxeThQcxTPbnodNdp6T0v7PQNjcH2CW0SuL2/ChgFjEb74bqLe0bB+I/JffQ12Y8fPTUoLwa33DKXT2cuKlPj+0wMwm2we4TPl5vs8EZ9NP36C/CNuLyFRoAzhN6efInxO0FRXTEwMdWomr83Pz6ejeoQSX/Qbch/4AhlMulqUZH8Oh9096JTBYFwYJnoYV6WQ+dQJ1OeCjDwguJjouWzMtcVo+OFfHsETPP+pHtmd1Vlpr9Db/oGQBX+nJpcuqwnqnT+i+qNHaOv7pRTIk3qbqQnj8Y+Jj8NP4oNaXQOe2fQ69la5U09cDgdz+oVhcUY0dW7ObmzFd37xCPvbk+AKhVAfOYqTxMunuaXD+8b1C8Tt9w2HSMxHdYUa3368Hwa9W5QQ8TJ53mKkDB1PU2Rbfv4cJw9sO034CGBpNHhqfBISEqiPD9neEydO0HZekTQQiUPuA48vgUFTidKjX8LpcIsrBoNxfpjoYVwRJJxPsF+gZZ3ADAqvDNLC3fATETxmSGIz3IKnjw2kJCd/UrcUvvg/CLrhcfB9guHQq6Fc+wFqv3iKRsEuhX4BcXh96jNIDeoHi92C/+1bQtvabW0iYkS4Px4flgi5kI9KrREfmqXwfuElCHx8YCivwPEnn4a+rLzDe0bG+uGOB0dCKheivkaDL9/bA3WL4ZQanzs87ezbf/0Gx/ZsPEX4kFSXAJamP4RP//79MXXqVPqcY8eO0YgPKWpOHHwvuDwRdOpSlOZ8zYQPg3ERMNHDuDqFzBeo6SEwr57Lx2HQoP6HV+hUdGFIPILnPdnnBM/pNWLylNGIvP8d+E1aRI0NrQ1lqP/2BTT8/B/Y1A0X/V7eYgX+Pv5RzOk/1dPW/vctb6BB7y6YTvST0wLnEJkIrWYb3q81wvLU3yGJjIBVpcKJZ/4O1WF3hKidkHBv3PXwKPj4SaBqNuKLd/egrrq1Qzt75ji34/KutctwePtaGv2hwueWNGpc2C587EYb0tLS6EBmwvHjx7Fx40ZIFRFIyLwbXK4A2pZC6uPDhA+DcX6Y6GFcnULmi4j0/OHVw0TPpRoPNix/HXZ1A/g+QbSzqT1q1tfh8AV0nljUn9+HV+ZUEkqBsfAAqj/5C1q2fEMLvS8GUttzW8YNeHrsQ3RKe7m6mra17692+/MESkV4ZlR/DAhSwOZ04ZsKNYrufQxeGRlwms20pb1u7boOnV3+gXLc9chohIQpYNBb8c1H+1BaqPQIn5HT52No1hx6e/+GFdj92w+03kcU0JbqahM+NT8ch01nQWpqKmbOnElfe/LkSTrGR+YdQ7u6uDwhtC1FKDn6BZwOZgnBYJwLJnoYV6mQ+RIiPUz0XBLNG7+ApbYQXLGM1rNc7enkvQGezBuBM+6nw2xJ6o8WO+9fRTu9tEc3X3S9T2ZYGl6f9iySAuJpRxfp7Pr8yA/U0Vkq4OGhwfGYGe8ucN5Sq8bmmQvgRVJPTifKP/scpR98DKftj2iLl0KMOx4aidjEAFgtDixbchDHj7jNFol4GT55LkbPXEBvkzTX5uVL4HDYIQqQImJBOvheIthUJtQsOw6r2oTk5GSP8MnNzaVdXTKf2DbhI4JOVYLi7C9YcTODcQ6Y6GFcpTEUl1LIzGp6LhZywtYdJTUfHATNeQxC/zPnQDFO6/S69XmE3Pws9S4i6cDmdR+h7stnaBH4xRAg9cOLE/+KucnT6O0NJTvwfFu6ixQ435AUhgcGxULE4yJfpceylNGQ3LWYVCqjcdNm5L7wD1hbNZ73E4kFWHjPMKQNCqMF/78uzcGerSWeqNCgsdMwef694HJ5KMzZh3XfvAub1QKhnxQRt6ZD4CuGXWuhwocMKSU1Pqd2dZEp7RKvKCQOvocKH726tK2ri/1zwWCcDhM9jCuC6xlDcTGFzCzScylY6kvRvOEzet13/ALqWMy4yGLnxMGIuPdt+E2+ExyhhDpW1331NC14JvVRF4LP5WHhgLl4ZlzHdNe+anftzuBQXzw9MgkBEiGaTVZ8IQmD44lnPFPaj/3f36AvK/O8H4/PpQaGI8bH0dtbfiugA0vb/276Z47CzEWPgC8QorLoBH5d8gZMBj0ECjEiFgzwzOoiqS5TnRb9+vWjwof4+BQVFdGRFUJpGPoNJl1dYuhby1F85DPYbcZO+54ZjGsRJnoYVyfSw9JbVxXS4db069s0TSPtNww+o2/s7k265uDw+PAZPguRf34P8gET6H2ktZ0MNNUc+g0uZ0eDwbMxKDQN/5n2HPq3pbve3rsES44so+muCIUEz43uj2R/L1gcTnyrASr++hyE4eGwNjfjxFPPoXn3nj+2h8uh09inzkmh5uTZ+6uol4/J6K7BiemfgTmLn4RIIkNjdSlWfvoatOpmOrIi4pZ0iMO84LQ46JBSQ7kaiYmJ1LlZIBCgsrISy5cvB1cUiMTB7e3sVSg89BGs5guLPAajr8BED+PqDBxlhcxXlZaNX9IWdZ6XPwKvf4h2KzEuD77cF0GzHkHYHf+CMCSOTqFv2fgFapY8AVPlyQu+3l/q2yHdtbFkJ57b/B/UaOppKzsZVjolNog+tkVpxLbb/gzBsOFwWq0ofOMtVH63lBYotzNiXBxuucttYlhR0kI7u1TN7oLr0OgE3Hj/M5ApfKFuqsPPH76MxuqytiGlaZDG+MBld6LulzxoTzYiOjoa8+fP9wwp/eGHH+Dk+iBp6IMQiBQw6xtQeOhDmI3Nnfb9MhjXEuxIyuj6QmbWsn5e9Pn7oDu2pa2O51HwJPLu3qRegTgiCeF3/RsBM+4HVyKHTVmF+u9eROMvb9FJ9Rfq7iLprmfHPQyFSI7K1ho8tek1bCzZAaL7b06OwP1tdT7FGhN+HD4dtvm30tfWLF+B/Fdeg02n87xfUmow7exSeIvRojTg83d2o6LUvQ3+weGY9+fn4B8SCaNei18+e53O6+IKeQi7IQVeyYGA04XG9cVo2VtFZ3UtWLCATmlXqVRYtmwZTDYhkoY+BJHEH1aTCoUHP4BRV9fJ3zCD0fPhuE6fnncNk5WVRS+Jaymja2hSGbH41U0Q8rlY8fqs8z5Xm7MZzb99RCdok7ZrxpnY9Wo6Vdxp1sNn1A3wm3g7rjWMZhtaNGY0t5qg0pphtthhsTlhsztoDZhQwKNLIuLD10sEP4WYLplE0GXb6DDqoN6xDNqjm+hML45ABJ/R82g6jLTBn49WkwYfHPwGxxry6O0hYQPwwLBFVAw16M34KLsMdXozHa87lW9G2GfvwWW1QhQUhP5PPwl5vLuuh6DTmvHjF4dQV60Bl8fB9fMGYOCwSPqY1WLChqUf0RofMv5i9IybMXCMO9rUsrsS6gPuLjBFejCCJsdDZ9Dj559/hlqthkQiwdy5cxHoL0dx9hKYdPW01idh0N2Q+8Z24jfLYPTs8zcTPYwrokVjwp3/3EjTXL++4R7KeC70eXvQ9MtbEEelImzRP7tsG68lGle8AUPBfjpmIfyu18DhdZ0QuBysNgcKK9U4UdqMkppWVNRroVRfXneej1yE8CA5IoLkiArxQr9IX8SFe1OB1FlYGsrQvOFzWGoK6G2+bwgCpt5Nhfn5IMNKfy/ahu+P/wq70w4fsQIPD78TA0KSYbE78F1uNfbXquhz0+R8DP3xC7hqqsERCBB//z0InuJ2ZCbYrA78uiwH+cfds7+Gj43F5FnJ1O2cDCjdtXYpTuzf6n6v4RMxbtZt4PJ4aM2ph3JLKRlCD2mML0Jn94fZbsHKlSvR2NhIi5zJCIv4uCg6qoIUN3O4fMSm3wrf4AGd9p0yGJcDEz2XARM9XU+rzoJFL62n11e/OZt2zpwLY/EROkaBOApHLP5PF27ltYGh4AAaV/yHGuyF3/0fiEJie2wkZ//JBuzKqcXxYiWs9jPruUjUxt+7LYIjFkAo4FLxQlq2LTYHFUtGs51Ggsgi188GEdOxYQr0j/bDgMQApCcEQn6VI0LkEKg/uROqLd/AYXC7JhPR4z/lLgj8Qs/72gp1Dd7Z/zlqtW4H6OuTJuPW9Nngc/nYVd2CZXnVsDtd8BcLMDVnJ0Q73OIlaPIkxN13D3gi99w0l9OF7RuLsGuTu60+Ot4P8xYNhsxLRLfv2J5N2L3uB7KxiExMxbRb/wyxRAZ9aQsa1hTSOh9RkAyhN6TAJeLQNvaytu6xcePGIXPQAJSfWAqNkkSnOIjodx2Cosed9++VwehKmOi5DJjo6Xr0Rituff53ev3X/8zyzOI6G6bKXNR/9wL1T4l84L0u3Mqej8NsQM0nf6FzpHxG3Qi/ibehp1FcrcbqXWXYc6wOtlOEjo+XCAMSApAc44fYMG9EhyouWZgQIVWnNKCmSYeaJj3K6jQormpFa9uwznZI/UxCpA8yEgMxLDWERoPabROuFFLgrN69HJqDvwGks4t2f82Gz+ibPPVoZ8Nit+LbnBXYWLqT3o71icQjI+9ChCIUlRojPs4uo23tPA4HkywtCPv6E3CcTshiY9H/6ScgDnGbHRIKTtTTqA8xMiT1PvPvHILwKLcZZVleNjb+8AnsNiu8/YMwc9GjtP7HXK+jhc2kpZ24OIfOTYYoRI5t27YhJyeHvjYjIwMTJ4xHbfEaKKv30fsCI0ciMmkOONzOi6QxGBcLEz2XARM9XQ85Wd3y3Dp6/ed/Xw/ReVIRxHem9ou/geflh+hH3f4zDDfK3z6CLmczBH5hCL/3vz1mrhY5PBzOb8TyLcXIr3CnawgkBTV2YDhGDwijqajOiBiQzyapssIqNfLKWpBTrKSC6FRITRARPyPSQpGRGAAB/8pP4NbmGrRs+gKmsmP0Numg8598B2TJo877cx6qPYaPD34LndUAAU+AW9PnYGa/iTDZnfjmRBWyG9xRpH4iDob+uASCxgbq65Pw0IMIGD3S8z7KRh1++vIwLXAm/j7X3ZTuqfNR1lVh3bfvQtfaAoFQjCk334u41EzYNGbU/ZoHq9IIDo+DoKkJ8EoJQnZ2NrZv305fGxsbS92cNQ0HUFP0G/mG4R2QjNgBt4HHd0ecGIzugomey4CJnq6HpCluenotvf7jqzMhFZ/7P3xrSy1qPn4UXJEUMU9824Vb2bMx15Wg7sun6PXQRf+EJCoVPYGCChW+XJuLvHKVZ7jsmIHhmDUmDomRPt2SGiHF0ceKlcguaMLhgsYOaTFSGD0yPRQTB0fQNFi7ncLlQA6LxqKDaNn0FeyaJnqfODoVAVMXU9fnc6EyteKjg996ipyTAxPx0LA/IVDmT9NdP+ZVw+p0wYvPxcTsHfDb544OBU+bgtjFd3nSXWaTjUZ8inIb6e0ho6IxbU4qFUEmvRbrl32E2jJ3HRKZ3zVs0my47C40rCuEocT9+/IdGg7/sTEoKS3BunXrYLfb4efnRwucYa2h6S6X0w6JVzgSBt0JoZiNN2F0H0z0XAZM9HQ9ZPzE3CdX0+tLX54BL+m5IxSkLbjqvftozUrsMz+xegJ6cnWi7uvnYKktgjx9PIJmP9rdmwStwYqv1uZi08Eqept05l03Jg5zx8fTGp2eAkmxkQLq/SfrceBkA60NasdPIcK4QREYnxmB+HDvy97XnDYLneHVuvcXuOxWuu8qBk+D77gF57QSIIfULWW78XXOCljsFoj5Ivxp4DxkxY1Gvd6MT3PKUatzb+sIUwsSv/8MPIcD0qhI9Hvicciio9zv43Rh5+Zi7NhQRG+HRXrjpkWD4esvpfO59q77Ccf2bqKPxSYPxJSb74NAJIZqTxVU+6vp/dI4X4RclwSluhmrVq2CXq+HSCSibs4BPhxa4Gy3GcAXyhGf8SfW2cXoNpjouQyY6Ol6yO4z+wm36PnmpWnw9Tr3SZFMvK7475/o9ZinlvWYFE53ojuxHcrV71HjRuIczPfy69bt2XeiHu8vz6HChzB5aBRun9Ef/t49e6o7KZAm6bcd2TW0wFpv+mPoZ2SwF6YOj8akIZFQyC5vn7NpmqDa/DXtrCNwpQr4TVgIr4xJ56yJadQr8eHBb5CvLKG3B4ak4IGhiyAXKfBzQS22VbonrocLgFGrv4esqgJcoRAxd9+JkOlTPUKtKK8Rq5blwGS0QSTmY/YtGUge4C6wzj+yG9t//RoOux0+ASGYftuDCAiJhK5ASX18SIGzwEeM0DnJsEtBhU99fT19b1LgnJYSi7Kcr2HSk/t4iEy+AYERwy/rO2IwrgQmei4DJnq6hxv+tpqaE375/FQE+Jz75Ehs/8tfu5lej/7rl+BJFejLOC0mOhKBdAwRPx7iy9NdEC+dJatPYsP+Sno7OsQLD87LQEqsP641SAQou6AR27JrcCi3wdNdRkamjEoPxdQR0UiPD7isAmhj+THq5mxrdnvkkE7EgOn3QBze75yt7euKtmHZ8V9hc9ohE0hwd+YCjIkeimNNGnx1vBIGmwMCLgejKnIR8/sv1N/Hf+QIJDz8Z/Dl7miSRm3Cim+zUVOppreHjYmhbe18Po86Nv/+/fvQa9Tg8QUYP+d2JA8eC0ujHvWrCmDXWcDhcxE0JQHSJD96fDx50u1ETaa2Z00aj5rClWhtPE7vC4wchcik2azAmdGlMNFzGTDR0z2Qmh5S27PkuSkI9pOe97nlr99K0wSRD30EgY/bur+v0rL1W2j2/Uq9YSLv+98FTfE6i4YWA1754gAqG3TEAw83TkjAbdOTIeBf+4btBpMNO4/WYMOBSpTW/DGDKtRfhinDo2gEyFt+aUW8LocdmsO/Q73rJ7gs7oGeZLYXEa5k5MXZqNHW44P9X6NU7RaVmWHpuHfwreByZVT45DW73ZpjnGYMXf4lZK0qCP39kPDIQ/AdNJA+RoaTbvu9EHu3lbp/hghvzPtTJnz9ZTAZdNj002eoIkaGxPF50ChMmPsncO1cWudjrHAXUXtnhMB/QiyOnzxOu7vI4T8wMJCmuyytR1FX4rafkPvGIW7AIghEzA2c0TUw0XMZMNHTPdzy3G+0oPSTp7MQFnj+g2TF23fBadTSCdjCIHftQl+E1DdVf/gQXA4bguc/DVm/od2yHSdKmvHa14egM1pp6/kTCwcjo18geiMl1a1U/JAUmMli90R/xg0Kx/VjYpEYeXbBci7s+laotn0H/fFt9DZHJIXv2PnwHjKTDjs9HYfTgV/zN+DnvHX0uoQvxm0Zc5EVNwa7qlVYXlALq8MJERcYmb0L0Qd20qhPyIzpiLlzEXhi8VnTXTNuTEN6Zjj18Dmycx0ObFxJxYxfUBimL3wQvoFhUO2rgmqfu86HtLMTI8P61iasXbsWJpMJQqEQ06ZNQ5CPDeUnlsHpsNDZXXEDbmd1PowugYmey4CJnu5h4fO/05PmB09ORFTI+VNWVe//mXbDhN352jlTAn2pRV0clYLQ2//ZLUXd27Nr8L9l2bQYPSHCG8/dNfy86cneAhE8u3Nq8fu+ChRXuyMghKRoX1w/Jo624V9KlMtcW4SWDUuoJQNBEBAB/6w7IE3IPOvzqzV1+PjQdyhuKae3kwMTcP+Q28Dn+eCL45UoVbuHjyaaWpG5/CtITAaIQ0OQ+NijUPRP8qS7Vn6XjeoKd7ordWAYZt6UBolUSLu6NvzwCYy6VvAFQoybTdJdY2AsV6NhXRGcZju4Yj6CpyXCFSKkRoa1tbX0fTIzMzFscH9UnPgOZkOT2ygzYQaCY8azxgNGp8JEz2XARE/3QByZiTPzu/83gZrTnY/qT/9KBz2GLHwB0tgM9EWID0zNp3+lM5/C7ngV4oj+Xb4Nv+8tx0crj5PgAPXb+cuCQef1WOqtFFaqsHZ3OXYfq/UMzSURr+kjYjB9ZPRFF3CTLjxdzlaotn9PI5kESdxAKn7OFtF0Op1YX7Idy06sph1eAi4fN6XOxPVJU7Clohmri+upk7OUAww7sAXRR/eDw+Ui4sa5iFxwM7gCAZwOJ3ZvLcGOjcW004uYGc65dSBiEwNg1Gmw8cdPUVPqbp2PTxuCCXPvAN/OR/3qAlrvQ/AeGArfMZHYd3A/Dh06RO8LDQ3FzBlToa7ZCFX9UffzAlMQk3YL+ILzp68ZjMuFiZ7LgIme7uGuf25As8aMtx8bT91yz0ftV8/Q9uzgeX+DLKlvdok0rngThoJ9kCYORcjNT3f556/cVowv17pPhteNjsV9c9OvmqvxtYpaa6apLyIGVVq3CzTx+RmTEY65E+KREOFz0c7arbt/hubQOsBpp5ESr4GT4TvuFvDlZ76H0tCCTw8v9fj6RPtE0KiPWBBEoz7VWvccs1i9CoNXfQ+5XgtZbAyt9WkfXFpbpcYv3+dA1eyOEI0YH4dJM5LoANPsnetwcNOvcDodkCl8MHn+PYiITUbzrkq0HnZHd4QBUtrWXq2px/r162GxWCAWizF58mT4ydSoLlhF/XyEYl/EZdwOmXffTUszOg8mei4DJnq6h3te3YRGlRFvPjoWSdHnb7muX/oPmMqPI3D2o/BKH4++a0TIQcS9b3V5XdOaXWX49Fd3sev8rEQsmpHM0hanYHc4se94PdbsLuvgQJ0W74+54+IxNCXkogSiTd0A1dZvPS3uHKEEvqNvhGLY9WdYNZBD8K7Kg/jq6HLorQZwwMHk+DG4OW029tTosabEHfURwoXBh3eg35E9NOoTPnc2jfoQQ0OrxY5Na/JxZJ+7UDoo1AtzFgykxc6NNeXY9OOnaG12zwcjk9pHTrsJ5ho9GtcV0fEVpLsrYEIsECOh6a6GBvdz09LSMGJIP1Tl/QCrSUVFXFj8VITETgSHc+0XujN6Dkz0XAZM9HQP97+2GXXNBvz7oTFIjTt/i3PD8tep023A9PuoyVtfo37pP2EqPwZ5+gQEzX6kSz9725FqvLU0m15fMCUJt03v+rTatVb4vGpnKfX9IXVPhLAAGeaMj6eeP2LhmcXKp2OqyoNq81eeeh++dyDt8pKljD5DbGrMWnyTs4IKIIJCJMftGTciKWAgvjlZhZK2Wp8wowbD1iyDT2sLrfVJeOjP8E5P8xQ5r/nxGAx6KzhcDkZPise4KYk0UrNn3Y84ecBddO0fEklHWPgogtH4ezGMbbVBxMwwICsOB48fxsGD7u3w8fHB9GlZsLTshrrRPZpD7hOLmPRbIZJcWvE3g3EumOi5DJjo6R4e/M9WVDfq8OqfR2FAwvk7f5pWvUMnWvtl/Qk+I+agL0EKXuu+egbg8qgRocAnuMs++2BeA1798iA18Zs1Ng73zkljEZ5LGH2xdncZ1u+rgKFt7IWXVIAZo2JpevBCLtWk3kd/chdU276HQ9dC7xOF94P/5DshjnAXJp9KXlMRlhz5gba5E/oHxGNx5gKUaUVYUVALi8MJHlzIyD2MlH1bwXfY6RiLmDsWgS+TwaCz4PdfTiLvmPv1AcFyamgYEe2L8vwcbF3xBW1x53J5GDzxegwefx10x5rQsqsCLoeLFjkHZcVDLTPRdJdOR6wMOBg5YgQSogSoKVxFu7u4fDGik2+EX+igTvjWGX2NLCZ6Lh0merqHR97chop6Lf5530gMSjq/947y90+gy94In7E3w2/cLehLNPz4LxhLjkA+YBKCZj3UZZ9bXqfB397bBbPVQSMUf7llUJ+v4bncrq/NB6uwelcpGlqMnnlkZNwFGdFxoSJ+OtLiwBr3SAubewyFNGk4dXYWBkR0eK7dYcdvRVvxc+5vsDis4HK4mJk4EVnx07CisBEnlO5iaR+bGUM2/YqI6lII/fwQe+/d1NiQiJT84/VYt/IkFUFE3w4fF4eJ05Ngs+ixfdU3KMvN9kR9subdDW9hIBrXF8HS6I4oyRP9oRgXiW17tqOwsNBT5DxpwnC0Vv8Og8adSvMLGYTI5LmsyJlxRfRJ0fPJJ59g9+7d+PbbyxtGyURP9/DXt7ejpEaDF+8ZgSHJ549etGz5hs4y8h4+m06u7itYGspQ+/mTtCYi4v53IPQP65LP1egtePx/O9CkNtEp5P+4dyR4PFaLcSWQVNfB3Hr8sr20Q93PwMRAmvrKTAo6r6i069RQ71gGHfH3cTndxc4DJriLnRUBHZ7bbFDhq5zlOFiTQ2/7iBVYkDYHXpL++KmgFq1m97iNmPoKDNm6hhY6+wwaiLj7FkMSFgaT0YoNq/Jw/LDbQZrM7bpuXjrt8Co5cRA7VpPWdD2tEcocNxNDJ1wPzZFG9+wupws8iQCBk+NQ7VDS46rVagWPx8PIEcMREaBFQ/lW+jMQT5+o5JvgE5TSSd86o7eT1ddEz/fff49XXnkFQ4YMYaLnGuOJd3eisFKN5+4ahhFp7plA54K42Kp3/givQVMROPN+9LWOLVnqGATP/WuXjWN4/pO9yC1roQ7E/31s3HkHwjIur+V91c4y7DleR1OHhMhgOeaMi8eEwZHntQGwKquh2r6U1rgRODwBFENnwGfkjeBJvTo8N7vuJL48+hOd50WI9Y3EwgHzUKSWYktFE0i3Pd/lRMbhXUjJ2Qs+KXS+cS4i5t1IC52L8xvx2/IT0GrcEaa0QWGYMjsFfK6VCp+SE+52dWJoOOGGO+AnCUPj70WwNrc5Tvfzh3hYMLbt3Y7ycre/UHBwMCaOTYe6egMsRuUfUZ/+c8AXyjrh22b0ZrL6iuhpbGzEiy++iAMHDiAkJAQBAQFM9FxjPPX+LuSVq/D0HUOpsdv5aD2wmg5ulKeNQ9Ccv6AvQE5u1JcHri51oiZdWqRbSyLi0866CxlHMi6fJpWRdnyR2WXtbs9kuOmMkTG07sf3PHU/pNZLtfU7mKtyPc7OPiPnwnvodeAK/3idzWHD78XbsSJvHUxt6bGRkYMxOeE6rC/ToUjl9t7xNekxeNtamvISBQUh7t674TdsKMwmG7avL8ShPRXUn4m4OU+ckYQho2JQnncE21d9C5PenTZLGTIWI6bMg/GYCuqDNWTXBVfIg9/YaNQKVNi+fTttbedyuRg5YhjC/dRoqtxJ93EysT0q+Qb4Bg/o1O+c0bvI6qLzd7fHuXNzcyEQCLB69WpkZPRNs7prHWLl3z4b6EJwBe6DuNPq9h/pC7TuXUlPBqR+o6sEz8HcBip4CP+3MJMJnk4myE+KxbPT8NULU+kluU0m1f+4uQh3v7IRby/LprVVZ4M4k4fe/g+E3PIchEExdJ6XevtSOqaEzPhy2d0pLAFPgNn9p+Ddmf/A5LgxtLV9X/UR/HvHvxAuycei1DB4CflQS+TYPHMBNs9ZhAabE/mv/ht5r/wLLpUS029Iw+K/jEFYpDcsZjvW/5KLz9/ZDYl3AhY+9ipSho6jn5V3eBeWvvMcmiRViLwtg46ucFodaN5SBu/jDtw6+2bExcVRk8U9e/djy75m+MXeDLEsGHarHmXHvkVpzjewms/+MzMY3UW3R3pO5emnn6Z26CzSc23xwid7cbRIiccXZmLi4MjzPpd0sTSt+h8kMekIve0l9HZsrU305EXqHsLvfgOiULehXGfSojHhkTe309Egs8eRTq30Tv9MRkfIPwD7TzbQlvdT634GJATQup8h/YPPWvdDOr0MuXug2rEU9tYmeh/Py596/HhlZHUYSluhrsHXOcuR21REb3uLFZiVNAMmZxy2VbbA4XKRAzyS8o9i4KEdkNgsCJk5HZG3zAdPJqeePlvXFVDxQ4Z8ZQ6PooXO2pYqbPv1a6ga3eaFoTGJGD9rEfgNPGpq6LI5AC4HPkPC0ORrxI5dO+j8LkJqajL6RzvQUrOb7vNcnghhCdMQFDmKTW1nnJc+k946FSZ6rk3+sWQ/Duc34i+3DMTkYdHnfa6h6BAal/8borBEhN/1b/R2WjZ/RTt2JLEDELrwxS4psiUi9HhJM+LCvPHmX8ZCwGcnm55W9xMeKMOssfHIIn4/ojP9fsggWu3RLWjduwIOnVs08RQB8B19E7wyJtL6H/o8lwuHao/h22MrPfU+wbIAzEyajTKtH3Ia3ZEWkd2G9EM7kHzyMERSCRU+ITOmwWhyYNPafJw44hY4JOU1dnIiBo+KQO6BrTi4+VfYbcTzh4v0EZOQOWwGtHsbYCh1bxPfSwT5yFAcbcjDiRNu00vi5jxmZBpEtuMwaKrofRKvMEQn3wSZD3NzZpwdJnouAyZ6uodXvjiAA7kNeGheBqaPjDnvc00VJ1D//UsQ+Icj8oF30ZtxWoyofPc+uKwmmro41wDKq8nKbSX4cm0uREIe/vfX8YgI6lgQy+g+mtRG/La7HBv2/+H3I5cI6N8MmfJ+tjlfTrsVuqObaZu7Q98mNLwD4UPEz4AJHvFDWtw3l+3Gitx10Fh09L5Yn0iMi5uFI418zzgLhVGHgfu2ILYkF5KwUMTceQf8hg1BVbkKG1flob5G4+nymjIrBWERfOxeuwxlee72dpFEhuGTb0CMfzpadlTC3jayQxKhgD1dhp1H9kCpdIuvsLBQDBsQAF3jbjjs5PM5CIgYjvDEGay9nXEGTPRcBkz0dA+vfX0Qe4/X44EbB9CizfNhaaxA7ZL/A1eqQMxfv0RvRnNwLVo2fUmnbkfc93an2/bXNevxyBvbYLU78fD8gZg24vxRN0b3YDTbsOVQNa25qm8xeOZ8kcGvpOvrbPPr3OJnE1r3rITD4J4Mz/cOahM/4z3ix2wzY23RVqwp2AST3V3snBqYhPSwGdhba4GmrcjaT92MQfu3IKKqBN4pyYhedBu8+vfHscM1NOWl17nFTEyCP6bOSYXVUI3dvy3zpLxIl9fo6QsgV3vTQmeXnbTeA14DglEtV2HfoQOw2dy1SGmpiYgL1kKrdLs58wRShMVPQWDESJbyYnhgoucyYKKne3jj28PYmVNLXX5nj4s/73Pt2hZUvXcf9SaJfeanXusK7HI6UP3hw7BrmhAw434oMqd27ue5XPj7x+60FvHjefn+Ub32u+1dfj/uuh9iK9AOGeUye2wchqeGnOGpRAwOqfghkZ828cPz8qO+V4pBk8EVuqNFWrMOK/PXY2PJTtjJ4FMAGSEDEOU7AYcarDDZHfS+oMYaDN6/FcEN1fAdnImo2xdCEBaJPVtLsG9HGRxtYiZtYBjGTU1AfelhHNj8C8xGd6dYTP8MDBszF45cM/RFzfQ+4ugsGuSPY61FKCgooPeRZpXhmbGQcwphNjTS+8SyIET0mwXvQDYOhQEmei4HJnq6h7eWHsG2IzW46/pU3Dgx4bzPJf+xVrx+K70e/X/fgCfunX4e+oJ9aFrxJrgSL0Q98gm4AlGnft7GA5V476ccCAU8vP/ERIQG9M7vtS/N+QrwkWD6yGhMGx4DHy/RGeJHm70Bmv2r4dC752ZxJXJ4D7mOev3wJO60ZpOhBctPrqXzvJzECJEUU4cMRIhiLLIbLbC1fRaJ+Aw6tAP+zQ0IGDMaUQsXwCLxwZbfCpCbU+d+fy4HmSOiMHxMGPIObcSJfVvo9HYirpMyR2Ng8mQYDrV4vH34ChEcaVIcrDiG+nr3SAwvLzlGDgqCU38Mdps7yqXw74eIpFmQyEO66Ntm9ESY6LkMmOjpHt754Sg2H6rCn2YmY35Wvws+v/w/C+GyWRD54AcQ+PbOA13t18/CUlMIn9Hz4DfBLfI6C5XWTOefGUy2ixKejJ4L6bz7bQ+p+6mkLe/toy7GZITT1HFStG+HCB5pZ9ed2I7Wfb/CrnZPRucIxFBkToH3sFngK9wDgBt0TViR93sH8ZMenAk/+SgcV1qI+TIlsqIIGdm7EdDSiOCsSYiYfxPUNhG2/l6A0gJ3rY5AyMPwsbFISZche8cqlOUeofdzeXykD5+E5JCR0B5pgkPv3n5hoBStcS7szzsMvd4dIQoJ9sfAJAEsrSfgcjlo5DcgfChC46ZAKD7/OA9G7ySrL4qeK4WJnu7h/eU59CBNpnaT6d0XovK9++HQNiPszn9DHJ6I3oa5thh1Xz0N8PiIevhj8OWdO4n6je8OY+fRWiREeOPNR8exMRO9AKvNgd3H6rBuTzkKq9yRHEJcuDeuHx2LsYPCO0x5J+lUQ8F+mvayNrodk8Hlwyt9PLyHXw9hYNQ5xU9qUCbkkuEoVNmJByElvKqEip/g5gYEThiPiHk3oNEoxJZ1BaitdKfVxBIBRoyPQ0ysC0e2/YLasrZUlkiMQaOnI1aSDm12I/X3IQgjvVDl24qcwuN0nAUhNioA/SLNsGhL6G0Ol4+gyNEIiZ3IXJ37GFlM9Fw6TPR0Dx+vPE7/OyWChwifC1Hz2f/B2lTRZR1NXU3T6vegP7Ed8vQJCJr9SKd+Vn65Cn97fxcdKPnWY+OREHFmESzj2qa4Wk3/voiwJaNF2ru+Jg+LwsxRsR1SmeRwbirLoYaY5qo8z/2SuAwa+ZHEDaSRorOJn1jfFPh7jUZpKx27RQmtKcPAI7sR3FRL015krEWNTkiLnZWNek+b+7CxMYiMMOPItl+hrKv0dHoNGj4NEZx+0J1s9rwpN0qGcqkSJ0vy4HC4BVFyYiCi/NWwGNwzwoi/T3DMeARHjwWPf/4p9ozeQRYTPZcOEz3dw2e/nsDqXWWYn5WIP8288MDBuu9fgrniBAJnP0r/E+1NOIw6VL17L/VZCbvzNeq221kQz5cn39uJoqpWTBkWhUdvGdRpn8Xofki6a/PBSqzbW4FGlbtuhojdjMRA2qk3PDUUAv4fUT5zTQH1iDIUHnQPNiVRmIAIOt5Cnj6e1pk16JW002t7+T7Y2gqeQ73iEOI9HhVavkf8BNVXI+3YfkRWFSNg5AiEz7sJlVohdm0q9ogfoYiPoWOiERyoRs6uNWhVutNtQrEEgwZPQzgSYShU0ZEWBFeUGCXCBhSUFVGxRh5I7x+IEEUTbCa3MSNfIENw7ATa6cXjd25dHKN7YaLnMmCip3v4Yk0uftleghsmJODuWakXfH7jyjdhyN8H/yl3wXvY9ehNtM8WEwbHInzxG53aQbXtSDXeWpoNiYiHT56efN75TozeAyl0PlLQSKM/2QVucUDwlgsxaUgUpg6P6uDPZGtthObQOuhytlDPKAIpsFcMmgLFkBnge/mh1aTBuuJttNvLaHM/x0cSiijfLNToJXSgKUGhbkba8QOIKz6BgPQ0hM6ZhXpuMHZtLkZTvc5T85M5IhIhQWrkHtjgaXMnaa+BmSTykwhjkdojfhyRQhRwalBa3ZaWgwtp/bwR7KWEw6r2tLkHR4+jzs48wZl+Roxrnywmei4dJnq6h2/W5WH5luKLHnmg/P0T6LI3wmfMfPiNX4DeAhkhUPPxo7Cp6hEw8wF6UukszBY7Hnh9C1o05osuIGf0PhpaDNh0sIpGgFRtRoHtbe9Th0djdEaYZ9I7McvU5myB9tA6aqVA4XAhSxoGReY0iGPSqbfP5tLd+K1oC9SmNjdnnjdiA7KgsgTA0qZ+xEY9dXfun3cEviFBCJszCyr/fti1tQwNtVpPt1fqwFBERepRdHQzWhqq6f18gRBp6RMQLUiFuVTrET+WYC5KhQ0oqXGLHw5cSE2QIdhbBYe1rT2fL0ZQ1Bi6WM1P7yKLiZ5Lh4me7uG79fn4cVMR7S4hBoUXQrV9KVr3rIBi8HQETL8XvQVj+TE0LP0nOEIJov/ymcczpTNYtqEASzcWIshXgo+eyqKt6oy+PeuLjILZcKASR/IbPWkpmZiPCYMjqQAiRdDtRc/GokPUPNNcne95D4FfGLwyp8JrwEQ4hSLsqjyEdUVbUaVxR2oAAWL8xsGGOOjdvoPg22w06kMEUDDHgZDrZsIQl4kD+2tR2TaqghCbGICEeDOqCrZ7an5oq3vSSMTLMmGvMntqfiy+QJlUiZL6cpr2IuInKVaKMN9WOG1t7fk8IQIjRlDxI5R0bqMAo2tgoucyYKKne/hhUyG+X19A6wqIE/CFaD2wBqrNX0GWMhrBNzyO3kLDz/+BsfBAp4u5Vp0F9/xrEyxWB/62aAh18mUw2mluNWHLoSrq3dSkdqeqCDGhCkwaEonxmRHwa0uFWpsqoT2yAbqTO+Cyuh2cOXwh/dsk0R9haDzym0vwe9E2HKo71lZ7w0GAfCCkokHQWP8Q2yG1FeifexgxdRUIHjcWGDweOcUm5B+vR/tZJjjUC0nJgKbxMKqLT3peGxWVhpSg0UCNEy6bu/7ILHOiQtGCkqYKOs2dhISiQ3mIDTEB9raONg4XvsEDaOpL5n3+YceMng0TPZcBEz3dw/ItRfhmXf5FF9Pqjm+Hcs17kMRmIHThC+gN2HUqVL13Py0Yjbj3bQiDOm+w4pJVJ6mRXWKkD/77l3HMeZlxzkL3nGIlNu6vpLPx7A63mCDD3QcmBWHS4EgMTwuhre9Oiwn6kzup4SERQu0Ig2LogFN52ji0uGzYULwdW8v2wNBW9yMSRCBYMRJaq4+n3V2q1yIpLxv98o8iKCYS0vFTUWzyQ87hWtja2tclUgGSU8Xg2vNRUXAYzrYuLl+/MGREToKkRQanyV1YbebbUeenRbGmEhba6u5CiJ8LiZFO8JxuF2iC3CcWwTHj4B2Y0ukjXxjX7vn7zPG+DMYlwuO6DzDtB9ULPr/NLdZhchc+9gZ0OZup4BFHJneq4CHmdev2umsebp+RzAQP45xQB+WkILr0Rit2HavDtsPVyK9Q0QJosiQiPsZkhGHikEikDppK01uW2iIqfgx5e6m1BJkf17LlW8j6DcFNAyZh3vUzsKvqMC16rtLUoKplOTgcGQLkQwFuPIxyBY4Om4Bjg8cgqqII/dauRZRehZsmTkZ9QCpyjjVDozYh+5AN4EQgPiEJPvIq1JUehFpVh+2q7yDgizEwLgsBtgiItUBckx+i4I16Pz1KLbVoUOnQoOLCSxqI5BgOpLxm6FvLoc8ph0gaQFNf/uFD2WBTxhkw0cO4YohjLMHR3uJxAbhSt+hx9hLRQ2okSIEogaQEOhNSO0W8Wkih6qB+gZ36WYzeg1wqxIyRMXTVKfXYeqSajo5pUhlpITRZgb4SjM0Ip+nS+FmP0O5Kfe5u6I5thbWhjJofksWT+2Jw+niMH3Inqjg2Wvi8t+owlLrtAHZCLEyEj3QwTJChIj6FLpmuFYkFx5C4eROy4mNhGj4WhSoxyopbUFpMxlH4w9dvNiL7a2FQHYe6qQaHin6j2x4flol4r0Hgt/AQqfJGBBRokupQzm9Ck64FB/MAId8fCREuBCk0sBibUVO0FrUl6+EXkoHAiFGQekeyfxAYFJbeYlwxv+0uw8e/nMDoAWF4+o6hF3y+TVWH6o8eAUcoRuyT3+Nax1iWg4ZlL4MrliOKFDDzhZ3yOeQEdd9rm2nL8msPjkZafECnfA6j76S/8spbsPVwNXV/NrVNYCcQw0MifsiKDvGiKS8ifkgK7NR/VkRhiZCnjgEnYTD2q4qwqXQ3KlvbDAa5/vCWZIDLi4Xd1ZZucrkQXl2GxIIcxLbUQzp8LGoUScgt1MJidn8+h+NCVIwLUn4ZlDUnPakvhSQAaWHj4WX0Bazu05aGY0CNQoNKQz3sDjt4XCdC/W2ICbGDjz+2U+IVjsDIkfALGQReJ/19Mq4Mlt5iXDO0jz242PQW8QghkMJJYuLH4QlwLUNOBgRy8O8swUMgXkhE8AxICGCCh3FV0l9kPyLr/hsH0K6vnTm1OJTXiPpmA37aXERXZLAcYwdGYOzA+YjOWgRj8RG6zxtLj8JSV0wXNn+N9OhUDE8ZjYb0G7C99ij2VR+B2kD+NngQ8GPgLR0IG/xQGxVP116zCTFl+Yg/8RMmSYQwpIxDmVGBmmotKstJVCYBUlkcwsOaYdbkQqttxt7SFeCCh4TAwYiSpsBbL4O3RoZ+CEKdqBUV3CbUKHWoUQqhkAoQG+qEj1QLk64WVXk/o6ZwDXxDBsA/bAitAWLRn74HEz2Mq5feau+TvQBcMlmdFBq6nHAY9eB7Xbstpw6THkbieEsmSGe4/1PpDNQ6M+3GIdw8mXnyMK4uxMtn1IAwukjE52BuA534fqSgCdWNeiwlFgkbCmgH2Ii0UIwY/SCiZjphLNgPfe4uWgdkqjhBl4DHx5z4TNycPBf5MhF21hxBTn0umrWl4HIUEAmTIBGlwCqWoCglky6ZToO4kpOIK81DSkQsmkIyUNzIgUFvRXFpEIBABAUa4CWthVZZiCLlQRThILwEfkgOGQ1fWxCiLQGIgj9aoEONVIVasxLHSp0Q8IQI9TMjMsgKAcxoqT1El0jiD//wIfAPHcza3vsQTPQwrhhuWyEz8Qq5GEhnBRE+JExOQ+XXsOghNQ8kWiUMioYwJLbTPmf1zjJY7U4kRfnSSA+D0VmQ4mbS1k6WwWTD/pP1VADlFClRUa+li9hUEI+oEWmRGDH2/5DoY4OpYC8VQDZlNYxFB+kK5QtxZ/wgOPrNwVGBE7tqs1GuPgST5TB4vFCIBYkQCuJg8PLGiUGj6fJrbkBsyXGkVpdBGJuBWlkcKhtsaFLK0YQkcDixCAlSge8qh661Dger14ADLsKkCYj3zUSAWYEAowKpiEAtV4VavgpVSg2qlBJ4S6UID7QiUGGCxdSCupINqCvZCC+/eCp+fIJSmeNzL4eJHkaXR3raO7iI4LnWO7jaU1teGZM6LVSuN9noyAECmW/GQvKMrkImESBraBRdOqMVh/IasP9kA40AEQ8gMnOPLC+pEMNT4zBi1Cik+plhLSQCaDd1fibeVSg8gBQuH4Nj0tEam4UcoQv760+iXr8DBvNu8PlREAn6QcCLgCoghK4jI7Lgp2xATPkJZOjqwAtPQy0/DPXNQH1jCHEGAp+nRbC/Ek5LOWqNRXSJuTJEeqUgUtofMdYgxJiDoIMR1bwW1FhbkFdpAZcjRaC3BeEBVigkJuhUJXRx8nhQBPSnBdCk9Z3N++p9MNHDuGot65ciergS+TXfwUWKO60NpQCXD3nq2E77nN/3ltOUAykoHZpCDvYMRtdDhA2Z7UWW2WqnkZ99J+qpECKCaPOhKrqEfC7SE+IweMAIZAaZIWk4DkPhftiaa2AqOwpR2VEM53AxLjIJqpjROCYEDjQXoVG/ARyIIBDEQciPo5EgVWAIXdlkFlhLE6LL85FmrAMnMAl1vFC0aBWobVIAiIOA24IAXyXslnIUaw7RJef5IlqRilBhPFLskejviEAzNKjlqtGgVaGx1Q4xGWrqa0aonxVigRUaZS5dHK4APoHJ8CUCKCAZ3Gu89pDhhokexhXDa4v0XGwhc0evHveE5ms5yiNNHAyezG3xf7Uh7elrd7ujPDdOTKDFpwxGd0MMDWltT1ooTWvnlauw72Q9TYUp1SYaCSKLEB4YiMHJ92BopgsR5iJYig/CUl8KS1U+ZFX5GAVgrG8wVDEpOC4T4rCuGo2GfHA4YvD50bQImkSAWv2D6DpGBJhGjYiqYsS2NkEgDYeSFwK1IQD1LST1mwQBtwm+ikYYLVXIVe9GLnbDlx+CCFl/BAujEeTwgQPRaEIr6uwq1CjVqGxyQCayI8jHjGBfIoBsUDcep4vLFUARkETTX0QAsblf1y5M9DCuGD7v0mp6Tu3gulYjPaSOR3dypye11VnsOVYLldYMXy8R7aBhMHpi92Z6QgBd985JQ1WjDkfyiehpRG5ZC2qVBtQqy7CaFEwLxRiQcCOGDROgP7cCwoaTMFflwaFuhLe6ESReOlYgRmtMEgr9fHHcrkWpZgPxhoaACqBYCPgR0Hn7Ij99GPLTAb7VgvCaMoTU1ELq9IJGFIYWYwiaWklUNA0CThMUsiZonbU4odmOE+DAlx+MUEk8QsXxCHX6wQ4HGqBGnUWFqiYNyhsdkIvbBJCPGSKBDa1NJ+kiTRik84sIIJ/AVIikft39K2BcAkz0MK6Y9ujDpdX0uNNb12pNj7E4G06jFjyZD6TxFx69cTkQCy0yboJAhrkK+Mxan9GzIfVm0SEKukhk0mi20TQYGYZKIj9EwJOW+EN55Nl8+CmGIzN+Cob6qBBpLYOz+jgcejV8io9hOECXKTAcxSGhyBWYkaffCqOZAz4/HAJeJIS8KNiFUlTGJdNFfIACmuoQXFsFid4JBzcYLZZQtOhDAaSDz2mBRFAPDeqh1u1Bnm4PvPlBCBHGIFSSgAhXAOwuB5TQoMGkRo2lFWUNNiqAAhRmBHpbIRPboFeX0lVTuBoSeSitA/IOSILMJxpcLjut9mTYb4dx1QqZ7RfpyNwbIj26E8R9FpCnjweH2zkTzknKoKRGQ2skpo+M6ZTPYDA6E6lY4GmFJyKedH4RAXSsWIn8chVUWgs2H1ViM312NMIDkjEmxoF0UR18NYWwN5RCoqzFALJIHR2Xi4qIaBRLLMh35qDZuAs8bgAthBZyo8AVBKI5OJwuAokCBdfXwEvZCpFVAr3VHzprIHTWdPA4rRBy68HhK6ExHkSh8SCtAQoURCJIHIOBvDjiqgEVdFQA1ZvVqGiyQCyww19hQYDCAh+ZFSZ9PV2NFdvA5YloJ5jCP4mKIJHUv5t/A4zTYaKHcdUKmd2TkNHr529Rb55SUloJeKWP77TPaY/ykLlI3nLWRcK49qNAsWHedM3P6gerzUHngBEBdLy4GcXVatQ2G/FjM/AjiFgYhYTAcRgVpEUivx7e2lIINQ3oV1UO4lQ1k8yik0hRFqpAkaASRdbjsFmE4PMjIeCSSFAY7EIJaqPjiZ7yDEMNaKiHRG0BbF4wmlJgMpK58WYIuI2wOhuhdxWi3HwcAo4IAYJwBAgjkSSKQqorCnqY0GjVoKm5FSdadODyHPDzssBPboGflxVCWKBR5tFVTdJ50gAo/PtRIeTlG89qgXoATPQwrmIh8yVEejzzt669QmZDwT7AYaeDRYk/T2fQ3Gqik7EJs8bEdcpnMBjdiVDAQ0ZiIF3t1gwnS5vdIqikGVUNOpQo7ShRkqGh8XTFedswJlCDBH4dFUEBJh0CykowjBT9c4AKqRhlgU6UimtQbTGAw/WnqTARJxxcfggdhlqVQLq9/hBB3koVRFoHHKYo6AzR4Nid4HPUEHAbYHYpUW8tB0cPePMD4S8Ig58gHHGCJDhdLjTbtWhSa1ClbkUBx0zTYO0iSCGz0TlgSrKq99LPk8hDIG8TQF6+cUwEdQNM9DCuGP4lmhNe65EeMn+IIE8d12mfQdyXyWwkMlg0OvSPgzSD0VuRSwSejjCC1mBFfnkLcstVyCtrQUlNK8o0ApRpSIdWADhIR6xEh2H+GiQIm+BnqkaiQYtEQxV9vYnLQblEi0p/LcrExaixWMHjEW+fMIg4oYAggIogstoRmYxQNKshapXDYk4DV+cCx2WDgNMMk6MJLbZy8Dg54IEPX0EI/AXhiBWEIZ0fDYPLgmaTFs0mDfKbdLDzLPCVW+kiaTCZ2A6TvoEuZdUe+nmkHohEgWQ+MZD7REMo9ummb7/vwEQP46pFei7Np+farOmxa5S024QgT+scbx4iHjfsd4+cmDmK1fIw+iYKmRDD00LpIpgtdhRWqakAIvVuBZUqlJkUKKshoiUSQCYCuDoM8lYjVaZCmLMWKQYVUgy19Ku2uFQAABo/SURBVPVGLgcV4haUKSpQIZOi1uIClxcEPi8EElcIIAyGRSKFMlLqfjtynHI4IFdrINIIwTFGgad1gm82QsBRwuBoQqM1DzzOAQg5EvgJQqkQSuKHQM5PgN5hQrNGi2aNDpXQwsUnNUA2+HQQQe56IFTtpp8nEHlT8dMugiReYaww+irDvk3GFcPjXnp661SfHlLgeK24DBOXWYI4KhV8ReeMgziY10C7XLzlQoxMdx/wGYy+jljE75AOI75glfVaFFW3oqhSjaJqNaobOdikVmCTmqSdB8GbY0S8sAlpXhrECJrR39SIFKOaTLODhcNBtViJKnERqrzkqLLxYeH6UREkQgi4/CA4+RJoA/xIYMmDwGyGTK0ATxcLjpELkc4AkbUJGnsLqs2F4HP3Q8gRwIcfDF9BMBL5Icjkx8Fgt6BFo4Nao0Mt9LAJjPCRukWQQmqlqTGbRePxBiJwuHxIFRGQe0fRS7JIcTQZ5cO4PJjoYVw9n55LKGRud2SG0wGXxQgOGUJ6DaDP3dmpUR7Cur0V9HLKMOJL0jmdYQxGbzjuxEf40DWjrbuRtMgXExFUpfasbK0U2Rb3a3hwIIynRjS/GUmyVsTYmpFgUgFqI8jRq1nQiEpxCarEAlTKxGgWKMDjBUGIQIgQCIcoEDaxGK2hYsDz/4g/BKZgiLVmcA0AX2+DRN+MVlM9ai014HNOgM+xwYcfBG9BEML5gUjl94PLxodKo6ciqAx66Dg6yGVEANno8pZaIeDbYWitoKsdLk/YJoDC6aWMCqEAJoQuEiZ6GN3i08MViMDhC+GyW2ldD528fi2MnWiqAnh8yPqP7JTPqGvWU18TEviaNqJziqQZjN4KaZE/NRpEosgkalpaq0FZ2yqt9cJuVQB2twkhKceCKH4zInkqRIvU6GdXY6hOAyh1sHKUqBNVoVbEp6tGIoVKFAguLxBiVyD4HH84RL6wSUR0/UEAeNZ4iHQWcA0uCA0mNBpaIDHVQ+Q8Dh5HDSlPSIujyQrlB0DGj4dBb0Or3oBWGFAJPexCPS2IJiJILiF+QTZyJIJeXUZXO2RkBkmFSb1CaZ2QxCuEXvLZ8NQzYKKH0S2OzO11PQ5dC01xCa6BQevtDszS+EyPueLVZvNBdxHmoH5BCPHv+UKQwejJkLS5v7eErmGnzK3TG60oqyMiSIuy2laU1QZgS5MeTrP7Hzcxx4pwnhoRPBXCzSrECdQYyW0FFzpYOE2oJwKoTQjVicRQSYLA4QZA6vADn+sPu9gfDqEARn8BCQQRcwsAQQCSwTdZwTc4IDCYIDa2QmxshFSXA6FTBQVfCi+eP/z4fojmB0LqTITR6oBGbYASBhRDB5dYDy8igCT2tksbeLDBqKmk61R4Ai9IFe1iiAihEIhlQX16jhgTPYxuKWSmr5PIqei5FoqZXS6np55Hnt45XVvk+9t6mLh7AJOHRXXKZzAYDEAuFWJAQiBd7djsDtQ06VHZoENVg5a2zBc16LBTZSBGz+DDgRBeK0J5rQgxui9T+Br4cZWwQ4lmIQ8NQj4aRHzUC4VokATCKAyE2OkLocsHEPjBLvKCXSKEXQKYAyTQgYywcFtS8E028Ew2iIwGCE2tEJuUEBuOw9emhTffFwq+H8J5/pA6YmA386FVG9EKI6pggF2kg0hqprPDSG0QcY0WC51w2HTQtRTSdSo8gQISeRCkXiEQSQMhlpEVBIFIcc3UV14uTPQwrpo5ITkwkBN3e2HzxXdw9XyvHnNVPhzaZnBFUkgTBnfKZxB/khaNmbbuDk9l09QZjK6E1M+1myeeCpkoT8RQVZsYIqLosFKPRpWR2kqIYKNiiAoifiuiea0YwdPAh1sEE7cYjUIigvhQCnloFEnRLA6AmYoXb/C5fnAIyZLBLhHQZfEjvkREjCW6N8DpotEhockAkUkLkakBMosKvjYz/B0ChHG9IbWGQmiUw8bjQQsjamCEgRQYiXWQSGy0U0wmcl8K+C44bFro1WSVdPwSOHwIRH6QeAVD6hUMscQfQqkfRBJ/CERevaJuiIkexlUbQ9Ge4uJd5FiGa8mrx5Dn9tWQJo0Aly/slM/Y0pbaGp8ZQY3bGAxGz5gonxDhQ9ep2OxONKoMqFMaaC0eGaxaptRjl1KPllYzFUMBPC2CeFoEcnUI5WkxgNzmloDPy4NS4BZCShIdEsrQJPGHnu8LkVMBgUsBDt8HNrEPnDwB7DIRXUYaGTrFxsLlAs9ihcBsgtCshdjSAm+rCT52FwJsIvibvSHQSuHg8WHkWFELI0w8A5wiPfhiMyQiO6QiB6QiOyRCBziww2ZuokurPHHaN8EFV6CASOIHiTwQUnkg7SQTSvwgEvuCd43UDzHRw7gqU5bbuRyvnp4uelxOBwyF++l1ecqoTvkM4ka772Q9vT55KEttMRg9HTIAOCLIi67TMVnsqG8m0+X1aGgx0KjQSZURjS1GKFsNEDnNCKQCyC2KUrh6jOUp4ccth0NohUrAQwtZfB6UIgVUYn+YuD7gubzB53jDxVfALlTAyRfAIRbRZYYPtACaTt0QEiWymiGwGCG2uiCziaCw8eFt94VUy4fIwQXXCWg4NtRzjLALDYDIAL7ITEWQWOjwXHI4TjhtrTCRpS2D6rSf2QU+uHw59RoSy/wglfnTCfRCsTc1XSSLdJ51N0z0MK6YU9NZl+bK7C4G7uk1PcSM0GHQ0DZ7SUx6p3zGrqM19D/H6BAvxEd0DK8zGIxrC4mIj7hwb7pOh/xj2KIxUSFERBC5rFYZcFhlRJPKCL1SBx+uAf5cPfy4OkRyDcjgaeHPrYWEb4BJ5HSLIiqI5FCLfGDkKOCAAjyOFzhcLzgECthEXnDx+LCLJXSZ4A/iUHQGLhcEVjPEVjOkNgvkNgdkVg7EZkDkcEHgcMLpMILL0VBBxBGaIBTaTxFF7pQZiRK57K2wkmUgdoxn+SgIwOHLwRd4QShWQCz1hVTuD5HEGy6nnfoSdTZM9DCuqui5nPlbPT3SY8jfRy9l/YaBw+ucP5kth/4oYO7thYQMRl8/Xgb5SulKJyPFToP846jWWdCsMdE0Gbkks/iKWk205k+naYVDqYY3Rw8fjhFRXCO8ua3wpqLIBI7QDLPQCTURRWIvqIU+MHDlsEMOJ+TgcqQATw67UA6bSA4XlwebSEIXORI3nmfbBTYrxHYbJHYHxDYnRGYnhA4HBE4reDCCz9FBwDVAxDNAJjBDLHBARJcTfB4RRjbAroadLBNAfCLbI0ZWi5amzjobJnoYVww5SZO6HiJ4iEvqxdJe09OTIz2nprZkyZ2T2iL1AMRen2hHUs/DYDD6drlAgI+Ervbp8GeLFrXqzFQMqbQWep0IpSqd+7peq4NDqwKnXg25S49IrhkKrhJyTiWEAhMgtMLFt8IicKJFJEerwAsGrgI2jhfsHBlcHAlcXClcPCktsrYJpXBxubAJhHRdzBGb43JBaLdDaHdAaCHCyA6Bi0yiN0MAE4QcM8RcI6RcM2Q8C5yurvlnj4kexlXrfLA77DRFc8k1PUZ9H09tuWcDEUM1Xy9xp3wGg8HoXdGidv+h80HMGY1mO9RtoqhVa6HXW/UWOtBVrzfCpm+FS62BxKyFl1ULOacRXlwjBHwzOEILXHwbnAIbLAIBdEIZjRpZIIGNI4ODK6XLyZPBSQQSXwy7UExrjVwcDn0NWReDAesg6Quix+l04v3338fy5cuh0+kwdOhQvPDCC4iMbJv4xrgmEAq4MFkAq93RqyI9nZ3aIgelHUdr6PVxg1iUh8FgXN0ovEwioOtsBdenQ1rwySgPIoj+WG6B5NBbINQbwNFrIDFp4TLrwbEYwLfVgu80Qsg3gyuwgCuwwi5wwioUwCkUweQUwsIRw8aRwsERwc6RwMGTwcEnYknsFkoC4mZ9aT5v16zo+fDDD7F06VL8+9//RkhICN544w3cc889WLNmDYTC7q/0ZlwcgrYOLpvtMiI9PVT0dEVqq6Jei+pGPe0EYcNFGQxGd48UkkuFdIX94dt4QUhZg8Fko12oxO2aXAb6SBAVoqDHUafFCKfZQD3ZHGYDhIFR4Hv5wuqwwWA10rXwf9zeL3qsViu++OILPPHEE5gwYQK97+2338bYsWOxceNGXH/99d25eYxLQNDmK3Mp6a32SI/LaoLLYQOnh1mjd0Vqa0e2O8ozJDmY/jfGYDAY1+IoIm+5iK7T4XB59FhPj/enjRsS8gQQSrzhK/GGoIuO/91qr1hQUACDwYCRI/8Y3qhQKJCSkoJDhw5156YxLhEh370rXUp6iysmzqNtIyx6oCtzZ6e2SCh5Z467nocVMDMYDEYvj/Q0NDTQy9DQjmH9oKAgz2OXQlNTExwOB7Kysq7aNjIuDtJKSUKcDx0SQXQJbsJ2jZLkkcDbNLfT2sEvF8+2bWwC5+2VV/39SVSMTIAmsu/5HGmb/GMwGIy+R319PXi8znei79azjMlkopen1+6IRCJoNJpLfj/yOpIyY3Q9/t6X13XE976ExHEX09nbRup4gumcHQaDwejb8Pn8Lqnj7VbRIxa7T5REqLRfJ1gsFkgkl968dvjw4au6fQwGg8FgMHoP3VrT057WImmpUyG3g4ODu2mrGAwGg8Fg9Ea6VfT0798fcrkcBw4c8Nyn1WqRl5dH/XoYDAaDwWAwekV6i+Tvbr/9drz55pvw8/NDeHg49ekhfj1Tp07tzk1jMBgMBoPRy+j2dplHH30Udrsdf//732E2m2mE5/PPP4fgIq2rGQwGg8FgMC4Gjov44DMYDAaDwWD0crq1pofBYDAYDAajq2Cih8FgMBgMRp+AiR4Gg8FgMBh9AiZ6GAwGg8Fg9AmY6GEwGAwGg9EnYKKHwWAwGAxGn6DbfXq6iz/96U9Qq9Xgct2674svvoC/v393bxaDQb2rMjIysHjx4u7eFAaDmsdu27aNHiv//Oc/Y+bMmd29SYw+zhtvvIEdO3aAOO7ccsst9Hx+sfRJ0UO+qNraWmzevBkcDqe7N4fB8LB69Wrs37+fih4Go7sh++LJkyexZs0aOiKICJ7Jkyd3yTRsBuNsbN++HYWFhVi1ahUdTj5v3jyMHj0a8fHxuBj6ZHqrrKwMDocDd9xxB2644QZs3LixuzeJwUBjYyN++OEHLFiwoLs3hcGgjBgxAkuWLKFRHjIImogdHo/X3ZvF6MOEhobir3/9K90PpVIpoqKi6LHzYumTkR7yHwv5Y37ppZdoiuu2225DcnIyIiMju3vTGH2YF198Ec8++yxNJTAYPQU+n4/XXnsN33//PR544AEmehjdSlJSkuf6sWPHaCRywIABF/36Xi161q5di//85z8d7psxYwaeeeYZDBo0yKMaJ02aRMO4TPQwumufjImJocI7LS2NiR5GjzpWEsglqedZtGgR/YdxyJAh3bSljL7C2gvskzk5OXjkkUdofY9cLr/o9+2Ts7eOHDkCm81G/3gJr7zyClJTU2mqi8HoDu666y40NzfTNEL7JSlonj9/fndvGqMPU15eDqvV6vnv+vXXX6f/HC5cuLC7N43Rh9mzZw+eeuopKnhGjhx5Sa/tkzU9er0e//3vf+kfs0qlooVRo0aN6u7NYvRhvvzyS1osSorzSE3PnXfeyQQPo9upqqrCP//5T9jtdnrcJCebgQMHdvdmMfr4Pvm3v/0NH3300SULnl6f3joX48ePR3Z2NubOnQun04nHH38cwcHB3b1ZDAaD0SOPlbNnz6a1PLfffjtSUlK6e7MYfZglS5bQgMXf//53z31PPPEExo4d27vSW5988gl2796Nb7/91nMfESzvv/8+li9fDp1Oh6FDh+KFF15gtTmMLoHtk4yeCNsvGT2NT3rQPnlNpLdI18D//ve/M+7/8MMPsXTpUrz88su01Zd8iffccw9VgQxGZ8L2SUZPhO2XjJ7G9z1sn+zRoof03pMWSeIISrpbToV8McRFmRR7TpgwAf3798fbb7+NhoYG5rvD6DTYPsnoibD9ktHTaOyh+2SPFj25ubkQCATUpfZ0h9qCggIYDIYOhUwKhYLmmw8dOtQNW8voC7B9ktETYfslo6eR20P3yR5dyEz8c8g6G0QRtvvsnEpQUJDnMQbjasP2SUZPhO2XjJ7GpB66T/boSM/5MJlM9PL0GTAikYjO42Awuhq2TzJ6Imy/ZPQ0TN24T16zokcsFtPL04ueyBcmkUi6aasYfRm2TzJ6Imy/ZPQ0xN24T16zoqc9LEaG4J0Kuc08dxjdAdsnGT0Rtl8yehqh3bhPXrOih1R7k3kbBw4c6DBINC8vj/b7MxhdDdsnGT0Rtl8yehr9u3Gf7NGFzOeD5AKJOyhph/Pz80N4eDidwxESEoKpU6d29+Yx+iBsn2T0RNh+yehpCLtxn7xmRQ+B9PiTmTDEjtpsNlOF+Pnnn9M2OQajO2D7JKMnwvZLRk/j0W7aJ6+ZMRQMBoPBYDAYfbKmh8FgMBgMBuNSYKKHwWAwGAxGn4CJHgaDwWAwGH0CJnoYDAaDwWD0CZjoYTAYDAaD0SdgoofBYDAYDEafgIkeBoPBYDAYfQImehgMBoPBYPQJmOhhMBg9jt27d+O7777r7s1gMBi9DCZ6GIw+zF133YVhw4bBarWe8zmzZs3CbbfddsH3euCBB7B8+fIr3ian04kXX3wRL7/8MoqKis54jFjVk/k8AwYMwOzZs7F69eqzvs8rr7xCLe47m6SkJLz33nv0ellZGSZNmkSHJzIYjJ4HEz0MRh/mpptugkajwc6dO8/6eG5uLhUe8+fPP+/7rFy5Eo2NjfT9rpRNmzZBpVJhyJAh+PLLLzs89s477+Dtt9/GvHnz8Mknn2DUqFF48sknsXbt2jPeh/xM48ePR1cSFxeHrKwsKrgYDEbPg4keBqMPM2XKFHh7e58zWvLLL79ALpdj2rRp53wPMiyQTEsmkR4u98oPKV999RWNLt19991UzLS0tND7TSYTvvnmGyxatAj33XcfRo4ciaeffppGqr799tsO71FZWYm6ujr6nK6GbNtvv/1GBSODwehZMNHDYPRhRCIRrr/+emzfvh16vb7DYzabjZ68r7vuOkgkknO+x4oVK2CxWDBx4kTPfUSMLF68GD/++CMmT55MU1ELFixAeXk5tm3bRkVNRkYGjSDl5+d7Xnf8+HFkZ2fT506YMAEBAQFYunQpfUwoFGLZsmVUDJ0KmcpMPv9UduzYgczMTCrYampqaApq/fr1ePDBBzFw4EAaIfrwww/pz/zss89i8ODB9L433ngDp85g1ul0eO211+jPkJ6eTr+rn3/++bzfaWBgIEaMGEEjUQwGo2fBRA+D0cchKSkiGjZs2HBGeoikmS6U2iJRIiJQiCg5laNHj9JiZCKAiHAoLS2lURBy/f7778dbb72F+vp6PPHEE57XfP3111RcpKSkgMfj4eabb6ZCh9Qckdv9+/enooIIk+bmZnz66afYu3cvFi5ceIboOT21Rep7+vXrh48++ohGgEiqjKTJxGIx3n//fVontGTJEiqO2iNY5H3XrFmDe+65h4okIo6ee+45fPzxx+f9TqZPn46tW7fCYDBc4NtnMBhdiovBYPR55syZ47rjjjs63Pfwww+7Zs2add7X6XQ6V3JysuvLL7/scP9TTz3l6tevn6ukpMRz3wsvvEDv27t3r+e+zz//nN6n0Whc9fX1rpSUFNdPP/3keVypVLpSU1M73EdYs2YNfR1Z9913n8tkMnkeI9fT09NdxcXF9HZ1dTV93mOPPdbhfcl9Cxcu9NzndDpdmZmZrldeeYXe/v777+lzsrOzO3z2s88+S99frVbT2+Q57777bofn5Ofn0/u3b99+3u+PwWB0LSzSw2AwaLTnwIEDtBiZ0NraStNQJBJyPkikxuFwICIi4ozHSK1QfHy85zZJVRFIWqsdHx8fekm6nUJCQmgdzKmRJfKakydPnhFtIukyEkV6/vnnaTqMRGLa01L79++nr0tISOjwmkGDBp2xLeR92uFwOHSbSUqLcPDgQYSHh3d4HYF0jJHI2LFjx875vZDXEUhqjcFg9ByY6GEwGLTGhs/nY926dfQ2qeUhIoCc4M9Hu0CQSqVnPEbqac7G2Z57qURFRWHo0KG4/fbbabrp0KFDOHz4sCe1NXbs2IvanvNtC+lqI6m002kXTOdrS2+vgTq9TorBYHQvTPQwGAwacSHFuqR+hbBq1Sra2dUeiTkXvr6+9LIrfGlIfdGvv/7q6eZqh9T/EJqamq5qqzqJ+iiVyjPub7+v/Wc/G+3fx/mew2Awuh4mehgMhifFRdJLJK1DUjcXSm0RgoODaYFxQ0NDp28fKSx+6qmnzuie2rNnD70kHVqkWJqIH9I9daWQSFJtbS0tyD69cJt0jJ2aGjud9u8jLCzsireDwWBcPfhX8b0YDMY1DGnZJidpUidDanQuxuOGpIdIa/iRI0dw5513dur2kW0jwuyDDz6gqTgS4SEpLdLBRQQaqeEhZoZErFyNFNqNN95I2+UfeughPProo/Q7IR1ZpEX/4YcfhkKhOOdryfdBUlzEYJHBYPQcmOhhMBgUYix4ww03UFFBTvKkpudiIMaFZAwDKe4lvj+dyUsvvYTIyEj89NNPNAoTGhpKt5V4Al1tF2YiWojp4X//+1/a3k7qc4jj8quvvnrBKBjZDtLGT9rhGQxGz4FDWri6eyMYDMa1C3FKJvVAZBzE3Llz0dchYozUQ5E0XHu9EYPB6Bmwmh4Gg3HFEZFHHnmEDgIl7et9nS+++IKaEzLBw2D0PJjoYTAYVwwZG0F8dq7GlPVrGVJITep+Xnjhhe7eFAaDcRZYeovBYDAYDEafgEV6GAwGg8Fg9AmY6GEwGAwGg9EnYKKHwWAwGAxGn4CJHgaDwWAwGH0CJnoYDAaDwWD0CZjoYTAYDAaD0SdgoofBYDAYDEafgIkeBoPBYDAYfQImehgMBoPBYKAv8P9nXGV9SJy9YgAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "\n", + "# Critical values for Nitrogen and the acentric factor\n", + "Pc = 3.394*10**6\n", + "Tc = 126.2\n", + "omega = 0.040\n", + "\n", + "fig, ax = plt.subplots()\n", + "\n", + "# plot several isotherms\n", + "# use the same color for IG and vdW EOS\n", + "for T in range(100, 185, 10) : \n", + " V_max = constants.R*T/(100*1000)\n", + " V_min = constants.R*T/(1000*1000)*0.03\n", + " V = np.linspace(V_min,V_max,4000)\n", + "\n", + " ax.plot(V, PR_pressure(V,T,Pc,Tc,omega), '-',label=T)\n", + "\n", + "ax.plot(V, PR_pressure(V,Tc,Pc,Tc,omega), '-',label=Tc)\n", + "\n", + "ax.legend(frameon=True, fancybox=True, edgecolor='none')\n", + "ax.set_xscale('log')\n", + "plt.ylim([-1,8*10**6])\n", + "plt.xlim([10**-5,0.01])\n", + "plt.xlabel('V (m^3/mol)')\n", + "plt.ylabel('P (Pa)')\n", + "plt.title('PV diagram for nitrogen')" + ] + }, + { + "cell_type": "markdown", + "id": "faf1a487", + "metadata": {}, + "source": [ + "Our second example makes a prettier plot using Seaborn..." + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "id": "f387f98f", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import seaborn as sns\n", + "import matplotlib.pyplot as plt\n", + "from scipy import constants\n", + "\n", + "Pc = 3.394e6\n", + "Tc = 126.2\n", + "omega = 0.040\n", + "\n", + "rows = []\n", + "\n", + "# Make a list of temperatures for the isotherms and add Tc\n", + "temps = list(range(100, 185, 10))\n", + "temps.append(Tc)\n", + "temps = sorted(temps)\n", + "\n", + "# Generate all isotherms including Tc\n", + "for T in temps:\n", + " V_max = constants.R*T/(100*1000)\n", + " V_min = constants.R*T/(1000*1000)*0.03\n", + " V = np.linspace(V_min, V_max, 4000)\n", + " P = PR_pressure(V, T, Pc, Tc, omega)/1e6\n", + " \n", + " rows.append(pd.DataFrame({\n", + " \"V\": V,\n", + " \"P\": P,\n", + " \"T\": T\n", + " }))\n", + "\n", + "df = pd.concat(rows, ignore_index=True)\n", + "\n", + "# Convert T to string for categorical hue (fixes legend)\n", + "df[\"T\"] = df[\"T\"].astype(str)\n", + "\n", + "sns.set_theme(style=\"ticks\")\n", + "\n", + "fig, ax = plt.subplots(figsize=(8, 6))\n", + "\n", + "sns.lineplot(\n", + " data=df,\n", + " x=\"V\", y=\"P\",\n", + " hue=\"T\",\n", + " palette=\"viridis\",\n", + " linewidth=1.2,\n", + " ax=ax\n", + ")\n", + "\n", + "ax.set_xscale(\"log\")\n", + "ax.set_ylim([0, 10])\n", + "ax.set_xlim([1e-5, 1e-2])\n", + "\n", + "ax.set_xlabel(\"V (m$^3$/mol)\")\n", + "ax.set_ylabel(\"P (MPa)\")\n", + "ax.set_title(\"PV diagram for nitrogen\")\n", + "\n", + "# Remove legend box\n", + "leg = ax.legend(title=\"Temperature (K)\", frameon=False)\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "83c296bf", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": ".venv", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", 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