diff --git a/electrochemistry/lithium_ion_battery.ipynb b/electrochemistry/lithium_ion_battery.ipynb index 9b4efee..5ba1f9b 100644 --- a/electrochemistry/lithium_ion_battery.ipynb +++ b/electrochemistry/lithium_ion_battery.ipynb @@ -94,7 +94,7 @@ "cell_type": "code", "execution_count": 1, "metadata": { - "scrolled": true + "tags": [] }, "outputs": [ { @@ -107,14 +107,15 @@ ], "source": [ "import cantera as ct\n", - "print('Runnning Cantera version: ' + ct.__version__)" + "\n", + "print(f\"Runnning Cantera version: {ct.__version__}\")" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { - "collapsed": true + "tags": [] }, "outputs": [], "source": [ @@ -126,13 +127,15 @@ "import time\n", "\n", "# Plotting:\n", - "%matplotlib notebook\n", + "%matplotlib inline\n", + "%config InlineBackend.figure_formats = [\"svg\"]\n", "import matplotlib.pyplot as plt\n", "\n", - "plt.rcParams['axes.labelsize'] = 16\n", - "plt.rcParams['xtick.labelsize'] = 12\n", - "plt.rcParams['ytick.labelsize'] = 12\n", - "plt.rcParams['figure.autolayout'] = True" + "plt.rcParams[\"axes.labelsize\"] = 16\n", + "plt.rcParams[\"xtick.labelsize\"] = 12\n", + "plt.rcParams[\"ytick.labelsize\"] = 12\n", + "plt.rcParams[\"figure.autolayout\"] = True\n", + "plt.rcParams[\"figure.dpi\"] = 120" ] }, { @@ -148,18 +151,22 @@ "cell_type": "code", "execution_count": 3, "metadata": { - "collapsed": true + "tags": [] }, "outputs": [], "source": [ - "input_file = '../data/lithium_ion_battery.yaml'\n", - "anode = ct.Solution(input_file, 'anode');\n", - "cathode = ct.Solution(input_file, 'cathode');\n", + "input_file = \"../data/lithium_ion_battery.yaml\"\n", + "anode = ct.Solution(input_file, \"anode\")\n", + "cathode = ct.Solution(input_file, \"cathode\")\n", "# The 'elde' electrode phase is needed as a source/sink for electrons:\n", - "elde = ct.Solution(input_file, 'electron');\n", - "elyte = ct.Solution(input_file, 'electrolyte');\n", - "anode_interface = ct.Interface(input_file, 'edge_anode_electrolyte', [anode, elde, elyte]);\n", - "cathode_interface = ct.Interface(input_file, 'edge_cathode_electrolyte', [cathode, elde, elyte]);" + "elde = ct.Solution(input_file, \"electron\")\n", + "elyte = ct.Solution(input_file, \"electrolyte\")\n", + "anode_interface = ct.Interface(\n", + " input_file, \"edge_anode_electrolyte\", [anode, elde, elyte]\n", + ")\n", + "cathode_interface = ct.Interface(\n", + " input_file, \"edge_cathode_electrolyte\", [cathode, elde, elyte]\n", + ");" ] }, { @@ -182,29 +189,31 @@ "cell_type": "code", "execution_count": 4, "metadata": { - "collapsed": true + "tags": [] }, "outputs": [], "source": [ "# Array of lithium mole fractions in the anode:\n", "X_Li_an = np.arange(0.005, 0.995, 0.02)\n", "# Assume that the cathode and anode capacities are balanced:\n", - "X_Li_ca = 1. - X_Li_an;\n", + "X_Li_ca = 1.0 - X_Li_an\n", "\n", "# I_app = 0: Open circuit\n", - "I_app = 0.;\n", + "I_app = 0.0\n", "\n", "# At zero current, electrolyte resistance is irrelevant:\n", - "R_elyte = 0.;\n", + "R_elyte = 0.0\n", "\n", "# Temperature and pressure\n", - "T = 300 # K\n", + "T = 300 # K\n", "P = ct.one_atm\n", "\n", "F = ct.faraday\n", "\n", - "S_ca = 1.1167; # [m^2] Cathode total active material surface area\n", - "S_an = 0.7824; # [m^2] Anode total active material surface area" + "# [m^2] Cathode total active material surface area\n", + "S_ca = 1.1167\n", + "\n", + "S_an = 0.7824; # [m^2] Anode total active material surface area" ] }, { @@ -218,11 +227,11 @@ "cell_type": "code", "execution_count": 5, "metadata": { - "collapsed": true + "tags": [] }, "outputs": [], "source": [ - "phases = [anode, elde, elyte, cathode, anode_interface, cathode_interface];\n", + "phases = [anode, elde, elyte, cathode, anode_interface, cathode_interface]\n", "for ph in phases:\n", " ph.TP = T, P" ] @@ -238,14 +247,14 @@ "cell_type": "code", "execution_count": 6, "metadata": { - "collapsed": true + "tags": [] }, "outputs": [], "source": [ - "def anode_curr(phi_l,I_app,phi_s,X_Li_an):\n", + "def anode_curr(phi_l, I_app, phi_s, X_Li_an):\n", "\n", " # Set the active material mole fraction\n", - " anode.X = 'Li[anode]:' + str(X_Li_an) + ', V[anode]:' + str(1 - X_Li_an)\n", + " anode.X = f\"Li[anode]:{X_Li_an}, V[anode]:{1 - X_Li_an}\"\n", "\n", " # Set the electrode and electrolyte potential\n", " elde.electric_potential = phi_s\n", @@ -254,26 +263,27 @@ " # Get the net product rate of electrons in the anode (per m2^ interface)\n", " r_elec = anode_interface.get_net_production_rates(elde)\n", "\n", - " anCurr = r_elec*ct.faraday*S_an;\n", - " diff = I_app + anCurr\n", - " \n", + " anode_current = r_elec * ct.faraday * S_an\n", + " diff = I_app + anode_current\n", + "\n", " return diff\n", "\n", - "def cathode_curr(phi_s,I_app,phi_l,X_Li_ca):\n", - " \n", + "\n", + "def cathode_curr(phi_s, I_app, phi_l, X_Li_ca):\n", + "\n", " # Set the active material mole fractions\n", - " cathode.X = 'Li[cathode]:' + str(X_Li_ca) + ', V[cathode]:' + str(1 - X_Li_ca)\n", + " cathode.X = f\"Li[cathode]:{X_Li_ca}, V[cathode]:{1 - X_Li_ca}\"\n", "\n", " # Set the electrode and electrolyte potential\n", " elde.electric_potential = phi_s\n", " elyte.electric_potential = phi_l\n", - " \n", + "\n", " # Get the net product rate of electrons in the cathode (per m2^ interface)\n", " r_elec = cathode_interface.get_net_production_rates(elde)\n", - " \n", - " caCurr = r_elec*ct.faraday*S_an;\n", - " diff = I_app - caCurr\n", - " \n", + "\n", + " cathode_current = r_elec * ct.faraday * S_an\n", + " diff = I_app - cathode_current\n", + "\n", " return diff" ] }, @@ -293,7 +303,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "49 cell voltages calculated in 0.61 seconds.\n" + "49 cell voltages calculated in 2.80e-02 seconds.\n" ] } ], @@ -304,26 +314,26 @@ "# Initialize array of OCVs:\n", "E_cell_kin = np.zeros_like(X_Li_ca)\n", "\n", - "for i,X_an in enumerate(X_Li_an):\n", - " #Set anode electrode potential to 0:\n", + "for i, X_an in enumerate(X_Li_an):\n", + " # Set anode electrode potential to 0:\n", " phi_s_an = 0\n", " E_init = 3.0\n", - " \n", - " phi_l_an = fsolve(anode_curr,E_init,args=(I_app, phi_s_an, X_an))\n", - " \n", + "\n", + " phi_l_an = fsolve(anode_curr, E_init, args=(I_app, phi_s_an, X_an))\n", + "\n", " # Calculate electrolyte potential at cathode interface:\n", - " phi_l_ca = phi_l_an + I_app*R_elyte;\n", - " \n", + " phi_l_ca = phi_l_an + I_app * R_elyte\n", + "\n", " # Calculate cathode electrode potential\n", - " phi_s_ca = fsolve(cathode_curr,E_init,args=(I_app, phi_l_ca, X_Li_ca[i]))\n", - " \n", + " phi_s_ca = fsolve(cathode_curr, E_init, args=(I_app, phi_l_ca, X_Li_ca[i]))\n", + "\n", " # Calculate cell voltage\n", " E_cell_kin[i] = phi_s_ca - phi_s_an\n", - " \n", - " \n", + "\n", + "\n", "# Toc\n", "t1 = time.time()\n", - "print('{:d} cell voltages calculated in {:3.2f} seconds.'.format(i, t1 - t0))" + "print(f\"{i:d} cell voltages calculated in {t1 - t0:3.2e} seconds.\")" ] }, { @@ -340,809 +350,1092 @@ "outputs": [ { "data": { - "application/javascript": [ - "/* Put everything inside the global mpl namespace */\n", - "window.mpl = {};\n", - "\n", - "\n", - "mpl.get_websocket_type = function() {\n", - " if (typeof(WebSocket) !== 'undefined') {\n", - " return WebSocket;\n", - " } else if (typeof(MozWebSocket) !== 'undefined') {\n", - " return MozWebSocket;\n", - " } else {\n", - " alert('Your browser does not have WebSocket support.' +\n", - " 'Please try Chrome, Safari or Firefox ≥ 6. 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" ] }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/html": [ - "" - ], - "text/plain": [ - "" - ] + "metadata": { + "needs_background": "light" }, - "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", - "plt.plot(100*X_Li_ca, E_cell_therm,color='b', linewidth=2.5)\n", - "plt.plot(100*X_Li_ca, E_cell_kin,linewidth=0., marker='o', markerfacecolor='none', markeredgecolor='r')\n", + "plt.plot(100 * X_Li_ca, E_cell_therm, color=\"b\", linewidth=2.5)\n", + "plt.plot(\n", + " 100 * X_Li_ca,\n", + " E_cell_kin,\n", + " linewidth=0.0,\n", + " marker=\"o\",\n", + " markerfacecolor=\"none\",\n", + " markeredgecolor=\"r\",\n", + ")\n", "plt.ylim([2.5, 4.3])\n", - "plt.xlabel('Li Fraction in Cathode (%)', fontname='Times New Roman', fontsize=18)\n", - "plt.ylabel('Open Circuit Potential (V)', fontname='Times New Roman', fontsize=18)\n", - "plt.legend(['Thermodynamic', 'Kinetic'])\n", + "plt.xlabel(\"Li Fraction in Cathode (%)\", fontsize=18)\n", + "plt.ylabel(\"Open Circuit Potential (V)\", fontsize=18)\n", + "plt.legend([\"Thermodynamic\", \"Kinetic\"])\n", "\n", "ax = plt.gca()\n", "\n", "for tick in ax.xaxis.get_major_ticks():\n", " tick.label1.set_fontsize(14)\n", - " tick.label1.set_fontname('Times New Roman')\n", "for tick in ax.yaxis.get_major_ticks():\n", - " tick.label1.set_fontsize(14)\n", - " tick.label1.set_fontname('Times New Roman')" + " tick.label1.set_fontsize(14)" ] }, { @@ -2043,7 +2878,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -2057,9 +2892,9 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.1" + "version": "3.9.12" } }, "nbformat": 4, - "nbformat_minor": 1 + "nbformat_minor": 4 } diff --git a/flames/flame_speed_with_convergence_analysis.ipynb b/flames/flame_speed_with_convergence_analysis.ipynb index dc728c8..2f17485 100644 --- a/flames/flame_speed_with_convergence_analysis.ipynb +++ b/flames/flame_speed_with_convergence_analysis.ipynb @@ -41,7 +41,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 1, "metadata": {}, "outputs": [ { @@ -57,6 +57,8 @@ "import numpy as np\n", "import pandas as pd\n", "\n", + "\n", + "%config InlineBackend.figure_formats = [\"svg\"]\n", "%matplotlib inline\n", "from matplotlib import pyplot as plt\n", "import matplotlib\n", @@ -66,7 +68,7 @@ "import scipy\n", "import scipy.optimize\n", "\n", - "print(\"Running Cantera Version: \" + str(ct.__version__))" + "print(f\"Running Cantera Version: {ct.__version__}\")" ] }, { @@ -77,17 +79,18 @@ "source": [ "# Import plotting modules and define plotting preference\n", "\n", - "plt.rcParams['axes.labelsize'] = 14\n", - "plt.rcParams['xtick.labelsize'] = 12\n", - "plt.rcParams['ytick.labelsize'] = 12\n", - "plt.rcParams['legend.fontsize'] = 10\n", - "plt.rcParams['figure.figsize'] = (8,6)\n", + "plt.rcParams[\"axes.labelsize\"] = 14\n", + "plt.rcParams[\"xtick.labelsize\"] = 12\n", + "plt.rcParams[\"ytick.labelsize\"] = 12\n", + "plt.rcParams[\"legend.fontsize\"] = 10\n", + "plt.rcParams[\"figure.figsize\"] = (8, 6)\n", + "plt.rcParams[\"figure.dpi\"] = 120\n", "\n", "# Get the best of both ggplot and seaborn\n", - "plt.style.use('ggplot')\n", - "plt.style.use('seaborn-deep')\n", + "plt.style.use(\"ggplot\")\n", + "plt.style.use(\"seaborn-deep\")\n", "\n", - "plt.rcParams['figure.autolayout'] = True" + "plt.rcParams[\"figure.autolayout\"] = True" ] }, { @@ -111,17 +114,18 @@ " \"\"\"\n", " grids = list(grids)\n", " speeds = list(speeds)\n", + "\n", " def speed_from_grid_size(grid_size, true_speed, error):\n", " \"\"\"\n", " Given a grid size (or an array or list of grid sizes)\n", " return a prediction (or array of predictions)\n", - " of the computed flame speed, based on \n", + " of the computed flame speed, based on\n", " the parameters `true_speed` and `error`.\n", - " \n", + "\n", " It seems, from experience, that error scales roughly with\n", " 1/grid_size, so we assume that form.\n", " \"\"\"\n", - " return true_speed + error * np.array(grid_size)**-1.\n", + " return true_speed + error / np.array(grid_size)\n", "\n", " # Fit the chosen form of speed_from_grid_size, to the last four\n", " # speed and grid size values.\n", @@ -129,84 +133,120 @@ "\n", " # How bad the fit was gives you some error, `percent_error_in_true_speed`.\n", " perr = np.sqrt(np.diag(pcov))\n", - " true_speed_estimate = popt[0]\n", - " percent_error_in_true_speed = 100.*perr[0] / popt[0]\n", - " print(\"Fitted true_speed is {:.4f} ± {:.4f} cm/s ({:.1f}%)\".format(\n", - " popt[0]*100,\n", - " perr[0]*100,\n", - " percent_error_in_true_speed\n", - " ))\n", - " #print \"convergerce rate wrt grid size is {:.1f} ± {:.1f}\".format(popt[2], perr[2])\n", - " \n", - " # How far your extrapolated infinite grid value is from your extrapolated \n", + " true_speed_estimate = popt[0]\n", + " percent_error_in_true_speed = perr[0] / popt[0]\n", + " print(\n", + " f\"Fitted true_speed is {popt[0] * 100:.4f} ± {perr[0] * 100:.4f} cm/s \"\n", + " f\"({percent_error_in_true_speed:.1%})\"\n", + " )\n", + "\n", + " # How far your extrapolated infinite grid value is from your extrapolated\n", " # (or interpolated) final grid value, gives you some other error, `estimated_percent_error`\n", - " estimated_percent_error = 100. * (\n", - " speed_from_grid_size(grids[-1], *popt) - true_speed_estimate\n", - " ) / true_speed_estimate\n", - " print(\"Estimated error in final calculation {:.1f}%\".format(estimated_percent_error))\n", + " estimated_percent_error = (\n", + " speed_from_grid_size(grids[-1], *popt) - true_speed_estimate\n", + " ) / true_speed_estimate\n", + " print(f\"Estimated error in final calculation {estimated_percent_error:.1%}\")\n", "\n", " # The total estimated error is the sum of these two errors.\n", - " total_percent_error_estimate = abs(percent_error_in_true_speed) + abs(estimated_percent_error)\n", - " print(\"Estimated total error {:.1f}%\".format(total_percent_error_estimate))\n", - " \n", + " total_percent_error_estimate = abs(percent_error_in_true_speed) + abs(\n", + " estimated_percent_error\n", + " )\n", + " print(f\"Estimated total error {total_percent_error_estimate:.1%}\")\n", + "\n", " if plot:\n", - " plt.semilogx(grids,speeds,'o-')\n", - " plt.ylim(min( speeds[-5:]+[true_speed_estimate-perr[0]])*.95 ,\n", - " max( speeds[-5:]+[true_speed_estimate+perr[0]])*1.05 )\n", - " plt.plot(grids[-4:], speeds[-4:], 'or')\n", - " extrapolated_grids = grids + [grids[-1] * i for i in range(2,8)]\n", - " plt.plot(extrapolated_grids,speed_from_grid_size(extrapolated_grids,*popt),':r')\n", + " plt.semilogx(grids, speeds, \"o-\")\n", + " plt.ylim(\n", + " min(speeds[-5:] + [true_speed_estimate - perr[0]]) * 0.95,\n", + " max(speeds[-5:] + [true_speed_estimate + perr[0]]) * 1.05,\n", + " )\n", + " plt.plot(grids[-4:], speeds[-4:], \"or\")\n", + " extrapolated_grids = grids + [grids[-1] * i for i in range(2, 8)]\n", + " plt.plot(\n", + " extrapolated_grids, speed_from_grid_size(extrapolated_grids, *popt), \":r\"\n", + " )\n", " plt.xlim(*plt.xlim())\n", - " plt.hlines(true_speed_estimate, *plt.xlim(), colors=u'r', linestyles=u'dashed')\n", - " plt.hlines(true_speed_estimate+perr[0], *plt.xlim(), colors=u'r', linestyles=u'dashed', alpha=0.3)\n", - " plt.hlines(true_speed_estimate-perr[0], *plt.xlim(), colors=u'r', linestyles=u'dashed', alpha=0.3)\n", - " plt.fill_between(plt.xlim(), true_speed_estimate-perr[0],true_speed_estimate+perr[0], facecolor='red', alpha=0.1 )\n", + " plt.hlines(true_speed_estimate, *plt.xlim(), colors=\"r\", linestyles=\"dashed\")\n", + " plt.hlines(\n", + " true_speed_estimate + perr[0],\n", + " *plt.xlim(),\n", + " colors=\"r\",\n", + " linestyles=\"dashed\",\n", + " alpha=0.3,\n", + " )\n", + " plt.hlines(\n", + " true_speed_estimate - perr[0],\n", + " *plt.xlim(),\n", + " colors=\"r\",\n", + " linestyles=\"dashed\",\n", + " alpha=0.3,\n", + " )\n", + " plt.fill_between(\n", + " plt.xlim(),\n", + " true_speed_estimate - perr[0],\n", + " true_speed_estimate + perr[0],\n", + " facecolor=\"red\",\n", + " alpha=0.1,\n", + " )\n", "\n", - " above = popt[1]/abs(popt[1]) # will be +1 if approach from above or -1 if approach from below\n", + " above = popt[1] / abs(\n", + " popt[1]\n", + " ) # will be +1 if approach from above or -1 if approach from below\n", "\n", - " plt.annotate(\"\",\n", - " xy=(grids[-1], true_speed_estimate),\n", - " xycoords='data',\n", - " xytext=(grids[-1], speed_from_grid_size(grids[-1], *popt)),\n", - " textcoords='data',\n", - " arrowprops=dict(arrowstyle='|-|, widthA=0.5, widthB=0.5', linewidth=1,\n", - " connectionstyle='arc3',\n", - " color='black', shrinkA=0, shrinkB=0),\n", - " )\n", + " plt.annotate(\n", + " \"\",\n", + " xy=(grids[-1], true_speed_estimate),\n", + " xycoords=\"data\",\n", + " xytext=(grids[-1], speed_from_grid_size(grids[-1], *popt)),\n", + " textcoords=\"data\",\n", + " arrowprops=dict(\n", + " arrowstyle=\"|-|, widthA=0.5, widthB=0.5\",\n", + " linewidth=1,\n", + " connectionstyle=\"arc3\",\n", + " color=\"black\",\n", + " shrinkA=0,\n", + " shrinkB=0,\n", + " ),\n", + " )\n", "\n", - " plt.annotate(\"{:.1f}%\".format(abs(estimated_percent_error)),\n", - " xy=(grids[-1], speed_from_grid_size(grids[-1], *popt)),\n", - " xycoords='data',\n", - " xytext=(5,15*above),\n", - " va='center',\n", - " textcoords='offset points',\n", - " arrowprops=dict(arrowstyle='->',\n", - " connectionstyle='arc3')\n", - " )\n", + " plt.annotate(\n", + " f\"{abs(estimated_percent_error):.1%}\",\n", + " xy=(grids[-1], speed_from_grid_size(grids[-1], *popt)),\n", + " xycoords=\"data\",\n", + " xytext=(5, 15 * above),\n", + " va=\"center\",\n", + " textcoords=\"offset points\",\n", + " arrowprops=dict(arrowstyle=\"->\", connectionstyle=\"arc3\"),\n", + " )\n", "\n", - " plt.annotate(\"\",\n", - " xy=(grids[-1]*4, true_speed_estimate-(above*perr[0])),\n", - " xycoords='data',\n", - " xytext=(grids[-1]*4, true_speed_estimate),\n", - " textcoords='data',\n", - " arrowprops=dict(arrowstyle='|-|, widthA=0.5, widthB=0.5', linewidth=1,\n", - " connectionstyle='arc3',\n", - " color='black', shrinkA=0, shrinkB=0),\n", - " )\n", - " plt.annotate(\"{:.1f}%\".format(abs(percent_error_in_true_speed)),\n", - " xy=(grids[-1]*4, true_speed_estimate-(above*perr[0])),\n", - " xycoords='data',\n", - " xytext=(5,-15*above),\n", - " va='center',\n", - " textcoords='offset points',\n", - " arrowprops=dict(arrowstyle='->',\n", - " connectionstyle='arc3')\n", - " )\n", + " plt.annotate(\n", + " \"\",\n", + " xy=(grids[-1] * 4, true_speed_estimate - (above * perr[0])),\n", + " xycoords=\"data\",\n", + " xytext=(grids[-1] * 4, true_speed_estimate),\n", + " textcoords=\"data\",\n", + " arrowprops=dict(\n", + " arrowstyle=\"|-|, widthA=0.5, widthB=0.5\",\n", + " linewidth=1,\n", + " connectionstyle=\"arc3\",\n", + " color=\"black\",\n", + " shrinkA=0,\n", + " shrinkB=0,\n", + " ),\n", + " )\n", + " plt.annotate(\n", + " f\"{abs(percent_error_in_true_speed):.1%}\",\n", + " xy=(grids[-1] * 4, true_speed_estimate - (above * perr[0])),\n", + " xycoords=\"data\",\n", + " xytext=(5, -15 * above),\n", + " va=\"center\",\n", + " textcoords=\"offset points\",\n", + " arrowprops=dict(arrowstyle=\"->\", connectionstyle=\"arc3\"),\n", + " )\n", "\n", " plt.ylabel(\"Flame speed (m/s)\")\n", " plt.xlabel(\"Grid size\")\n", " plt.show()\n", - " \n", + "\n", " return true_speed_estimate, total_percent_error_estimate" ] }, @@ -218,12 +258,12 @@ "source": [ "def make_callback(flame):\n", " \"\"\"\n", - " Create and return a callback function that you will attach to \n", + " Create and return a callback function that you will attach to\n", " a flame solver. The reason we define a function to make the callback function,\n", " instead of just defining the callback function, is so that it can store\n", - " a pair of lists that persist between function calls, to store the \n", + " a pair of lists that persist between function calls, to store the\n", " values of grid size and flame speed.\n", - " \n", + "\n", " This factory returns the callback function, and the two lists:\n", " (callback, speeds, grids)\n", " \"\"\"\n", @@ -235,17 +275,18 @@ " grid = len(flame.grid)\n", " speeds.append(speed)\n", " grids.append(grid)\n", - " print(\"Iteration {}\".format(len(grids)))\n", - " print(\"Current flame speed is is {:.4f} cm/s\".format(speed*100.))\n", + " print(f\"Iteration {len(grids)}\")\n", + " print(f\"Current flame speed is is {speed * 100:.4f} cm/s\")\n", " if len(grids) < 5:\n", - " return 1.0 # \n", + " return 1.0 #\n", " try:\n", " extrapolate_uncertainty(grids, speeds)\n", " except Exception as e:\n", " print(\"Couldn't estimate uncertainty. \" + str(e))\n", - " return 1.0 # continue anyway\n", + " return 1.0 # continue anyway\n", " return 1.0\n", - " return callback, speeds, grids\n" + "\n", + " return callback, speeds, grids" ] }, { @@ -266,12 +307,12 @@ "To = 300\n", "Po = 101325\n", "\n", - "#Define the gas-mixutre and kinetics\n", - "#In this case, we are choosing a GRI3.0 gas\n", - "gas = ct.Solution('gri30.yaml')\n", + "# Define the gas-mixutre and kinetics\n", + "# In this case, we are choosing a GRI3.0 gas\n", + "gas = ct.Solution(\"gri30.yaml\")\n", "\n", - "# Create a stoichiometric CH4/Air premixed mixture \n", - "gas.set_equivalence_ratio(1.0, 'CH4', {'O2':1.0, 'N2':3.76})\n", + "# Create a stoichiometric CH4/Air premixed mixture\n", + "gas.set_equivalence_ratio(1.0, \"CH4\", {\"O2\": 1.0, \"N2\": 3.76})\n", "gas.TP = To, Po" ] }, @@ -298,11 +339,11 @@ "loglevel = 1\n", "\n", "# Define tight tolerances for the solver\n", - "refine_criteria = {'ratio':2, 'slope': 0.01, 'curve': 0.01}\n", + "refine_criteria = {\"ratio\": 2, \"slope\": 0.01, \"curve\": 0.01}\n", "flame.set_refine_criteria(**refine_criteria)\n", "\n", "# Set maxiumum number of grid points to be very high (otherwise default is 1000)\n", - "flame.set_max_grid_points(flame.domains[flame.domain_index('flame')], 1e4)" + "flame.set_max_grid_points(flame.domains[flame.domain_index(\"flame\")], 1e4)" ] }, { @@ -484,9 +525,1185 @@ }, { "data": { - "image/png": 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xAGS1Bi+uPwDfW2uQceWV0O7YEbYYiIiiDROcKNBUaFzK9XAUd7SsHh6v3CUL/LVHtzQ9Hpw4AC6PhL809EPpn56F+1e/CmsMRETRhAlOFLBw082IkV9oBwD07Z4Y9tfukWHEAzf0R4VLxDOG0ah3+SBWViJtxgyInEpORNQME5wokJGqg0oUUMqZVIrLK7LBYtIjyahR5PX7ZCfi3mv7orTKiaXvHYS0/wC0O3dCZbUqEg8RUaRighMFVCoRmWk6lHAmlaIkSUZ+UXjrb1ozuFcKfn/VWThSWo8XS8wo+s92eIYOBQCoDx5UNDYiokjBBCdKWMwGlLAHR1GFFQ1wun2KJzgAMKKfCbdf0Ru/HK3Dqv8tgU+Sodm5ExmXXw7Dv/+tdHhERIpjghMlLCYDKmpc8HglpUOJW3mNG2wqUX/TmgvPScekS3PwQ1413v6iAK6hQ2F7/HE4J0xQOjQiIsUxwYkSFrMesgyUVXOYSin5hXaYk7UwJeuUDiXg8hFZuPqCbGzfa8X6baWw3XcfZKMRcLuR8uijUOXnKx0iEZEimOBEiRN7UnGYSgmyLCOv0BYRw1OnuvqCbFw2ohu+/KEMn3xbDABQHzsG/aZN0P78s8LREREpg5ttRoluaXoIAlhorJCyaidsDm/Y178JhiAIuOmSHDhcPny0vRhGnRqXjeiL8v/8B3JyMgBAdewYfDk5gCAoHC0RUXiwBydKaNQiMlJ0nCqukLym9W96REb9zalEQcBtV/TCsL6pWPu/x/DfvdYTyU1RETKuuAKJS5YoHCURUfgwwYkiFrOBPTgKyS+yIcmoRrc0vdKhtEklCphxVR8M6pmM1Z8fwa68agCAz2KB/YEH4Jg4UeEIiYjChwlOFMky6VFW7YRPkpUOJe401d8IET7Eo1GLuOfavuiVlYCVnxzCL0drAVGE/YEH4OvRAwCQtGgRNLt3KxwpEVFoMcGJIhazAT5JRkUNe3HCqarOhco6d0TW37RGr1Vh1g390S1Nj+Uf5ONwsT3QJlZVwfCvf0H/6acKRkhEFHpMcKLIiZlUTHDCKa/InyBE4gyqtiTo1Xhw4gAkJ2jw0nsHUVTRAACQTCZUfPYZbHPnAgDEigpA4tpKRBR7mOBEkSxuuqmIvEIb9FoVuqcblA6lXVISNHho4gBoNSJe/PdBlDeuoSSbTIBKBaGhAek33ICUxx5TOFIioq7HBCeK6LUqmJK03LIhzPILbejbPRGiGNn1N61JT9HhoYkD4PPJeHH9AVTb3IE22WBA/bRpcNx0k4IREhGFBhOcKJNl1nOIKoxsDR6UVDmjpv6mNRazAQ9O7I96pxdL1h+AvcHjbxAE1E+fDvevfgUAMKxdC+327QpGSkTUdZjgRBmL2YDSKickmTOpwiE/UH8TmevfBCu3WwLuv64frHUuLHnvIBwuX/MTPB4krliBhFWrlAmQiKiLMcGJMtkmAzxeCVV17jOfTJ2WV2iDRi0gNytB6VA6rX9OMu7+XV8UVjiwbEMe3J6Tios1Gljfew81L74IABDsdsDjUSZQIqIuELatGux2O5YvX47du3cjKSkJU6ZMwZgxY1qct23bNqxbtw41NTXQaDQYNmwYpk+fDqPRCAAoLy/HqlWrcPDgQajVapx//vm48847oVKpwvVWFJVlPlFonJ4SOZs+xqq8Qht6WxKhVsXG3wJDzkrF9Am9seqTw3jt43zce01fqBrfW9PKx5BlpN19NyDLqHrnHW7vQERRKWw/tVeuXAm1Wo0VK1Zg9uzZWLFiBY4fP97ivAEDBmDevHlYvXo1li5dCkmS8O677wbaV61aheTkZLz66qtYtGgR9u3bh88//zxcb0NxFhM33QwXh8uH4xUNUV1/05pRA82YMi4Xew7X4o3PjkA6deFIQYDjhhvguOYaJjdEFLXCkuA4nU7s2LEDkydPhl6vx8CBAzFy5Ehs2bKlxbnp6elIbvpLEoAoiigrKwscl5eX44ILLoBWq0VqaiqGDRuGwsLCcLyNiJBgUCPZqGahcRgcKrZDlqO//qY1Y4dm4vqLemDn/iqs+eoo5FNquhw33gjHzTcDALT//S/0cfRHBBHFhrAMUZWUlEAURWRnZwcey83Nxb59+1o9f//+/Zg/fz4cDgd0Oh3mzJkTaJswYQK2b9+Os88+G/X19fjxxx8xefLkkL+HSGIxGzhVPAzyi2wQRQFnZcdeggMAv/2VBQ6XF599VwqjTo3rL+rR6nmJy5ZBLC+H84or2KNDRFEjLAmO0+kM1NA0MRqNcDpb74UYOHAgVq9ejaqqKmzevBkZGRmBtsGDB+PLL7/EHXfcAUmScPHFF2PUqFGtXmfz5s3YvHkzAGDBggVIT0/vonekrN7d07BlVzHMZnPE740UzQrK8tEnOxndLd1abVer1VF/T824zgxJ2IvPdhxHhikZ1118VsuT3nsPOHYM6RkZgNMJ8cUXId17L5CSEv6AiRQWC5/7eBGWBEev18PhaN7j4HA4oNeffmdmk8mEYcOGYcmSJVi4cCEkScJf/vIXjB8/Hs899xycTieWL1+Od955B7feemuL548bNw7jxo0LHFut1q55QwpLNQINLi/yC0qQlqRVOpyY5PFKyDteg0uHd2vzvklPT4+Je+r6C7uhurYeb312AJLPibHnZrY8yWwGrFboNm2C+emnYR04EO5WJgkQxbpY+dzHkpNHh04Wlhoci8UCn8+HkpKSwGNHjx5FTk7OGZ8rSRJKS0sB+GdiVVZW4re//S00Gg2SkpJwySWXYNeuXSGLPRJlN+5JVcphqpA5UloPr09Gv+6xOTx1MlEUMO23vTHkrBT8z6aj2Lm/ss1zXePHo2zr1kByY1i7FrovvghXqEREQQtLgqPX6zF69GisXbsWTqcT+/fvx86dOzF27NgW527duhVWqxWyLKOiogJr1qzBkCFDAADJycnIzMzEF198AZ/Ph/r6enzzzTfIzc0Nx9uIGFncdDPk8gttAIC+MTaDqi0qlYi7ru6Lvj2S8PrGI9hzuKbNc31nNQ5jyTIS3noLxjVrwhMkEVE7hG2a+IwZM+B2uzFz5kwsWbIEM2fORE5ODqxWK2677bZAl19hYSGefPJJ3H777XjqqaeQnZ2Nu+++O3CdOXPm4Mcff8SMGTMwe/ZsqFQq3HHHHeF6GxEh2aiGUa9ioXEI5RXa0D3dgARD2JaKUpxWI+L+6/qhR4YBr36Uj4ONSV6bBAHW999HzQsvAPDvTJ4yZw7Ek3pqiYiUIsinzg+NYcXFxUqH0GX+uuYXiKKAOZMHKh1KzPFJMh5e+gPOH5yOKePa7h2M1bF4e4MHf1u7H9V2Nx6ZNBC53YJbxVn/+edInT0bFZ9+Cl+fPiGOkkgZsfq5j2aK1uBQ17OY9VzsL0SOlzfA5ZFicv2bYCQaNXhw4gAk6NXY8adXoBk8DFnde0A7eDiKlq5u83nO3/wGZd9/H0hukubPh/Htt8MVNhFRM/HT/x5jLGYD/rPHCluDB0lGjdLhxJS8xqGZfj3io/6mNWlJWkyv+z/86rOXofe6AADpteVIXPQM9gDo/kDrw8JyUuPXzOuF9scf4XEwCSciZbAHJ0plNW3ZUMVC466WX2RDRqoOqYnxPQV/8KqXAslNE73Xhd7LXjzzk9VqVL77LuqefNJ/uH8/zJMnQ3X0aAgiJSJqiQlOlMpu3HSzlMNUXUqSZeQV2uNm9tTpmGor2nx8y0/lqKs/w27jggBo/UmiqrAQquJiSCdt6BltfD4frrjiCtx+++0t2t57773AulvXXHMN9u7dCwCorKzEddddh8suuwyfffZZ4Pxp06YFlr8gotBgghOl0pK00GlE1uF0sdIqJ+qd3ritvzlZVUpGq49bk9Lxzuaj+H+v/IhF7/6CL38oRVWdq9Vzm7jGjUP5N99ATkvz71Y+fToSX345FGGHzMqVK9GvX79W23JycrB+/Xps3rwZDz30EB577DEAwIYNG3DTTTfhww8/xPLlywEAX3zxBYYMGYKsrKywxU4Uj5jgRClBEJBl0nMtnC7WVH/TP47rb5ocue8hONW6Zo851ToU3P8w/nT72bjqgmw4XD6s+9/jeGLFbsx/Zx8+21GCsuo27kmx8ceNywU5MRFy00rmsgx4vSF8J51XXFyML7/8Erfcckur7aNGjUJqaioAYMSIEYFFTdVqNZxOJ9xuN0RRhNfrxcqVK3HvvfeGK3SiuMUi4yhmMRuw/1id0mHElLxCG1ISNEhP0Z355BjX/YE7sAdA72UvwlRbgaqUDBy57yH0aCww7p5hxO8u7I6yaid25VVjV1413v9PId7/TyG6pxswvF8aRvRLQ3a6ofmeaXo9al56KTBMpfvqKyQ/+yyq3nwTvghdtPPpp5/Gk08+CbvdfsZz3333XVx66aUAgOuvvx73338/1q9fjz/84Q9YvXo1Jk6cCIPBEOqQieIeE5woZjEZ8O2+SjhcXhh0/FZ2lizLyCu0oV+PJG5i2qj7A3fA/cAdaKoW6d7KOd3S9Pjtryz47a8sqKpzYVd+NX44WI1P/luMj/9bjMxUHYb3S8PwfmnolZVw4mvb+H9Zp4MvNxc+i8X/uMMBRFACsGnTJqSnp+Pcc8/F9u3bT3vutm3bsGbNGrz//vsA/Kuvv/XWWwCAmpoaLFu2DCtXrsTcuXNRU1ODu+++GyNHjgz5eyCKR/ytGMUsTYXGVU70trBmpLMq69yosXvQNw72nwoVU7IOl4/IwuUjslBX78GP+f6enU3/V4bPd5YiLUkbSHb6ZidCFAW4x4xBVdPGnV4vMq68Es4rr4Rt7lxl30yj77//Hl988QW++uoruFwu2Gw2zJo1Cy+99FKz8/bt24e5c+firbfegslkanGdxYsXY/bs2diwYQOGDBmC66+/HtOmTcP69evD9VaI4goTnChmadyTqrjSwQSnC7D+pmslJ2gwdmgmxg7NRL3Di92Ha7ArrxpbfirHVz+UIcmoxrC+/mGsATlJUKlECB4PnOPHwz1smP8iDgcEp9NfnKyQJ554Ak888QQAYPv27XjllVdaJDdFRUWBbWj6tLKK8+HDh1FWVoYLLrgAe/fuhV6vhyAIcLlOX5xNRB3HBCeKpafooFYJLDTuInmFNhj1KljSI2d4JFYkGNS44Ox0XHB2OpxuH34+UotdedX47pdKbN1dAaNOhXP7pGJEvzQMmvs4tBoRRUtXY9Di+Uhw2lCdZMahBx5tc4FBJbz55psAgNtvvx2LFy9GdXU1/vCHPwDwFxdv3LgxcO7ChQsDM6uuu+46TJ8+HatWrcKcOXPCHzhRnOBeVFFu3ps/Iy1Jiweu7690KFHvT6/vQbc0Pe6/vvWpwKfinjSd5/FK2FdQi1351fjpUA0anD7oNCKuProNN69/sdlCg061DsW/+R1Sb7wSzt/8pkvjKFq6ukUxdSQlUxQ5+LmPPG3tRcUenCiXZTKgoLRe6TCiXm29B2XVTowZkq50KHFFoxYxtG8ahvZNg88n4cBxG3blVePKZa+3uopyzsYNOHSsGP+W+kGvVSEBXmgTjdDrVNBrRei1qsB/Bm3jYzoVtGqxzcLxoqWrMWTRM+3akoKIIh8TnChnMevxfweq4Pb4oNWolA4nauUXcf8ppalUIgb3SsHgXilIt7X+F7JK8mLl7x6EtdAGdU0VFr9yD169dCa+GXTxaa8tCDgp+RGbJUH3v7y4zS0p3ExwiKIWE5woZzEbIMM/k6pntwSlw4laeYU2aNUiemYalQ6F4F9FOb22vJXHM/HI/f4ZV2JpKcTya3DLnVfh6t59IeUdhmrfPpRccAkcPgEutw8Otw/Opv9cPjjdUuDY4fahxu5Gel3ryZSptgLcTIEoejHBiXKWkzbdZILTcXmFNpyVnQiViot7R4Ij9z2ExJOGjQB/Dc6R+x4KrMUjZWWhdtEiCACSASR9+h4SX3sNKTt3QkpP9y8kGMR6RlV/bSuZar5VhVqthjfCV1wmohP40zzKZabpIArgnlSd0OD0oqjCwf2nIkj3B+7AnrlPw5qSCQkCrCmZ2DP36dPWxNjmzoV1wwZ/cgMgdfZsJP3lL2d8rda2pHBoDah+/XUA/m1RNBoNkxuiKMMenCinVonISNUzwemEQ8V2yAD6cQfxiBLMKsrNqNXwDB3q/7csQ05IgGw8MeSo3bIF7gsvBNTNf+y1tiVF2QuLYb7wPACAKIrweM6wczoRRRwmODHAYtajtIpr4XRUXqENKlFAbwuH+GKGIKB2wYLAoebHH5F+yy2o+etf0TB1aovTT02mMtRqNK2gwZ4boujEIaoYYDEbUF7thNcnKR1KVMortCG3m5Gz0GKY55xzULVyJRzXXgsA0G3ahJT/9/8g1LXcrFYQBIiif1q5IAhQq/l3IFE0CirB8Xq9OHbsGPbv349jx47xL5oIYzEbIMlAeTWXfW8vt8eHo2UNnB4e69RqOCdMgJzor7NSFxRA+913gSEs1fHjQOPPNVEUIUkSfD4fvF4vf94RRanT/mnyww8/4IsvvsDPP/8MlUoFg8EAh8MBn8+Hc845B+PHj8d5550XrlipDRaTf9PNkioHsrnNQLscKamHT5KZ4MSZ+pkzUT99OqBSAZIE09Sp2JaeDsvq1UhKSvInO+y5IYpqbX6Cn3rqKSQkJGDMmDG46667mu2OW11djb1792LTpk3YsGED5s2bF5ZgqXVZJj0EcCZVRxwstEEA0CebM6jizWXjx+PAgQMnHjh0CBg4sMV5AwYMwFdffhnUlHMiihxtJjgzZ85Ez549W21LS0vDmDFjMGbMGBw7dixkwVFwtBoVzCk6lHLTzXbLL7KjR4YRRj3/Wo83X331VbPjqVOnYsaMGbh86FAkLl4M59VXwz16NFT5+UgfORLV//gH3L/+tULRElF7tVmD01Zy09HzKLQsZj1KqtiD0x4+n4TDxXb05fo3dBLJZELdvHlwjx4NABAkCe5Ro+DLyQHgL1BO/81voOIfd0QRLagi448//hgFBQUAgIMHD+Lee+/FAw880Lx7lxSVZTKgtMoJSYqbzeE77Vh5A9xeifU3dFre/v1R/cor8DX9MafVQjKZ4OvWDQBgfOMNmG67DXCxyJ8okgSV4HzyySfIzMwEAKxZswZXX301brjhBqxevTqkwVHwLGY9vD4Z1lr+kA3WwcLGDTa5wB+1g+vii1G1Zg2ga1z9WBQhq9WB46T585H8pz8pGCERAUEmOA0NDTAajXA4HCgoKMCECRNw2WWXobi4ONTxUZCyzY17UrHQOGj5hXZ0S9MjOUGjdCgUxRruuAPVb7wROBYcDggNDYHjlLlzYeQfg0RhF1RlpdlsxoEDB3D8+HEMGjQIoiiioaEBosh1AiNFVtNU8UonhvZVOJgoIMky8ottGNEvTelQKMbUPfvsiQNJgvrYMUhZWYHjtPvvR8OkSXBdeqkyARLFiaASnFtvvRV///vfoVar8eijjwLwr5HTty9/k0YKg06N1EQNC42DVGJ1oMHpQ18OT1EoiSIq1649cWi1Qr1vH0Sr1X9cVYXkefNgv+sueAcNUipKoph02gSntLQUWVlZGDFiBF599dVmbeeffz7OP//8kAZH7WMxGThEFaRA/Q0LjCmMpMxMVHzzDdC4z5Xq0CHov/gC9bfeCgBQ790LwwcfoH7mTEgZGUqGShT1TpvgzJ8/HwAwfPhwjBgxAoMHDw7sy8L9WSKPxazHtp+tkGUZAhclO628QhvSEjUwJ2uVDoXiUePn0zNqFEp37w4ca37+GYkrV6L+nnsA+HdA1+zfj/o77jhR1ExEQTltlrJkyRKUlZXhhx9+wMcff4wlS5ZgwIABGDFiBIYPHw6z2RyuOCkIFrMBLo+EapsbpmT+MGyLLMvIL7JjQE4SE0FSnurEJq+OyZPhuOYawOCfNKD/6isYNmxA/YwZ/uNPPgEkCc7f/U6RUImiyRm7Ybp164YJEyZgwoQJcLvd2LNnD3bt2oX3338fBoMBw4cPx6WXXors7OxwxEunkdU4k6q40skE5zQqalyorfegL4enKBIZTuwnV/fnP8P20ENA44SOhNWrAa83kOAY1q+Ht1cveEaOVCJSoojWrnEmrVaL8847L7DB5vHjx7Fr1y4cO3aMCU4EyG6cSVVa5cA5vVMUjiZy5RWx/oaih5yaGvh35Zo1ECsr/QeShORnn4XzN79BbWOCY1i7Fu7zz4cvN1eBSIkiS9AJjsvlQmlpKZzO5vsdXXPNNV0eFHVMolGDRIOahcZnkFdoR6JBHdiFnShqqFSQGhddhSiifPt2CPX1/sPycqQ98ghqn3rKX8PjcsHw6adwXnIJ5DQuh0DxJ6gE55tvvsHrr78OtVoNrbZ5Ueby5ctDEhh1jMVsQAk33Tyt/CIb+nZPZP0NRT05MRFyon8vNSkzE2XffQdZ70/ctd9/j7QHHkDlG2/AdcUVECsqoD5wAO5Ro1iwTHEhqATn7bffxqOPPopzzz031PFQJ1nMenx/oIozqdpQbXOjosaFS4ZlKh0KUZfzde8e+Lf7/PNR8ckn8PbvDwDQb9yI1CeeQNmWLfD16QPV0aMQnE5/O39WUAwKailitVqNwYMHhzoW6gIWkwENTh/qGrxKhxKR8hvrb7jAH8U8lQqeYcMgG40AAMcNN6Dy7bfhO+ssAEDCqlXIuPJKoLHsQHXo0In6HqIYEFSCM3nyZLz55puoq6sLdTzUSRZzY6Ex63BalVdoh04jIifTqHQoRGElJyb6t4do7K2x33MPql57LTBrK+XPf4b5xhsD56sOHeIO6RTVghqiys7Oxrp16/D555+3aFt70jLkpLwsU9NUcQcG9ExWOJrIk1dkQ5/sRKhEdslTfJOys+E6afar7f/9v2Y9OObbboPn7LNRvWIFAEB1/Dh8PXpwOIuiRlAJzksvvYSxY8fiwgsvbFFkTJElNVEDvVaF0ioWGp+q3uFFsdWBUQNMSodCFHE8Q4acOJBl1D7zDOQk/1CuUF+PzIsugn3WLNgefRSQZYhVVZC42CtFsKASHLvdjsmTJ7NoNQoIggCLWc+p4q0I1N9w/Rui0xMEuMaPb3Zc+/zzcA8dCgBQHziAzMsvR9Vrr8F51VUQKyqg/e9/4broIk5Jp4gRVA3OJZdcgi1btoQ6Fuoi3HSzdXlFdqhVAnpnJSgdClFUkY1GNEyZAu/ZZwMApNRU1D32GNwjRgDwT0k33Xsv1MeO+Y+3b4fp1luhOn4cACDU1EAsLw9sMkoUDkH14OTn5+Ozzz7De++9h9STVtUEgGeeeSYUcVEnWMx6bN/rRb3DiwQDN0VtkldoQ6+sBGjUQeX1RNQGKSsL9tmzA8fOSy9F+aZN8DbO0BIaGiBarZAS/H9MGN97DylPPYXSH36A1K0btNu2QfvDD7DfdRfX5KGQCeq33+WXX47LL7881LFQF7E07klVUuXgdOhGTrcPx8rq8ZtfWZQOhSj26PXwnrSUiGvcOLjGjTtxPGYMav7yl8AqzLrt25Hw2muw338/ACBpwQLoN21CxebNgCBAs2cP4HbD07gtEFFHBJXgXHLJJZ1+IbvdjuXLl2P37t1ISkrClClTMGbMmBbnbdu2DevWrUNNTQ00Gg2GDRuG6dOnw2g0Njtn/fr1sFqtSE1NxX333YdBgwZ1OsZY0ZTglFY6meA0OlJihyRz/ykiJXj79w8sOAgAtrlzYX/ggcAmot4BA+BqaAjM0Ep86SVofvkF5Vu3+o8XL4bgdML2xBMAALGyElJKCqBmDzW1rc274/vvv8fIIHaoDfa8lStXQq1WY8WKFSgoKMD8+fORm5uLnJycZucNGDAA8+bNQ3JyMpxOJ1577TW8++67mD59OgBg9+7deOedd/DQQw+hb9++qKmpOeNrxxtTshYatYjiKtbhNMkrtEMQgLMsiUqHQkQA5JN2TXdcfz0c118fOK57+mmIVmvgWFVSEthzCwBMd94JOSEBle++CwAwvv02fD16wNUFf4xT7Ggzwdm2bRvWrFmDMWPGYPDgwcjOzobBYIDD4UBJSQn27duHrVu3Ijc394wJjtPpxI4dO/DCCy9Ar9dj4MCBGDlyJLZs2YKpU6c2Ozc9Pb3ZsSiKKCsrCxyvW7cOEydORP/GvwZMJk75PZUoCMgycSbVyfKKbMjJNMKgUykdChGdga9792bbTtT+9a/N2u0zZgAnLVmStHgxnJdeGkhw0q+8Es4JE2CfNQuAv+jZ268fpIyM0AdPEaPNBOfBBx/EsWPHsGnTJixduhTl5eWBtqysLAwfPhwPPfRQix6Y1pSUlEAURWSftKhUbm4u9u3b1+r5+/fvx/z58+FwOKDT6TBnzhwAgCRJOHToEEaOHIlZs2bB4/Fg1KhRuO2221pdn2fz5s3YvHkzAGDBggUtkqdY1js7FfsKquLqPbfF4/WhoKQeV4zu2aVfD7Vaza9vDNFoNEhOTub3NBr8/vcAgKb+WF9+PjT19UhPTQUkCaphw2Ds1w/69HTA6YRm0iRIf/wjfE89BbhcUE+cCN/dd0O++mrA44Hw9deQzz0X6NbtjC/Nz330OO0AZs+ePfH7xhvJ5XKhvr4eCQkJ0LWz6t3pdDaroQEAo9EIp7P1xegGDhyI1atXo6qqCps3b0ZGY9ZdU1MDn8+Hb7/9Fs8++yxUKhUWLVqEf//737jllltaXGfcuHEYd1KhW+3Gjc3apaws+HJyAJ8Pmh9+aPF8X3Y2pO7dAbcbmp9+atmekwMpKwtwOKD5+eeW7b16QcrIgFBfD3UryZzvrLMgmc0QbDao9+9v0e7t2xdyWhqE6mqo8/Nbtg8cCDkpCWJlJVSHDzdrG3Dciu/KE1BYXAZjbRVUBQUtnu855xzAYIBYWhqYztmsfehQQKuFWFQEVXFxy/YRIwCVCqrjxyGWlrZsHzUKAKAqKIBYUdG8UaXyPx+Ne+BUVTVv12r9rw9AnZcH4dShSL0+sDCZ+sABCKdsIyIbjYEpraX/uxNnHduPIT1rUbvR/3WQk5PhHTAAAPwFjafci3JqKrz9+vnbf/oJcLubtUsmE9JGj4bVavXfOz5f8/aMDPh69fI/f+fOFl+bWL73AMA7eDDkhASIFRVRc+95rVY0fP89atXqLrv31Hv3QmhoaN7eBfeer08ffzvvvZbtgwdDfv55/723caP/fT73nP/rtnEjfBYLTKWlqD9wAF6VCqqyMpjuvht1s2bBdfnlkMxmmKZPh/2BB+DNzYVos0G7fTvc550HKT0dKePGwVpTA1VhYUT/3Iuney/j2mtbnAsEWWQMADqdrt2JTRO9Xg+Ho/lwicPhgF6vP+3zTCYThg0bhiVLlmDhwoWBXprf/va3SGtcTOqqq67Ce++912qCc6oWN5NKBVmjAXy+lm2Av02lAjye1tub4nc6W283GgGfzz9lspV2KTERoscDwW5vtV0sL4fsckGorW29vawMcn09hOrqFu3pKjeABJTnFeEs2Np8PvR6iBUVbbdrNG23l5YCKtXp24HW20XxRLvVCvGUD7Ks0QTaBasV4qkfZK222fMFu715u8MRaD9W4P8hk6N2Qazy+NvdbogpKYHrC6d+kL1eiE2ruFZWQvB4mscvSUBxMcSqKv/y9pLU4v033R+tfW1i+d4LtBuNECsro+beEzweCDYbhMrKLrv3xMpKCKf87OuKe09unH7Ney+4e89n8c+eFKuq4MvIQNUbb/gToOJiyLKM2scfhy8z03++1wtfz56Br4/6wAEkLV+OukcfhefssyF88AEs06ej5plnIGVmQiwuhm77djgvuwyyyQTV4cMQnE4I9fWK/tyLx3vvVIIsh37lJafTiWnTpuHvf/87LI032tKlS5GWltaiBudUTcNVq1evBgDce++9uPnmm3HxxRcDAL799lu89957+OspY7StKW0lY4xVpXUePPVRKaZdYMKFZ8X3wnb/+N8KWO1ePPu7rp0ibjKZUBXEh4yiwy0PPICZU6bgsgsvVDoUiiQ+n39Nn+RkwGCAqboann/+E/VTpkDq1g26r75C6uOPw7puHXy9ekH/6adIfeopVPz73/D16gXtjh0wfPgh6ubMgZyWBlVREVQlJf5VoTUapd9dTMhq7BU7VVhWPNPr9Rg9ejTWrl0Lp9OJ/fv3Y+fOnRg7dmyLc7du3Qqr1QpZllFRUYE1a9ZgyEl7pFxyySX47LPPUFtbC7vdjk8//RQj2nhz8SwjUQ2VCJTUes58cgyTJBn5FS70y+RiYkTUASoVpG7dAruuo08f2B5+2P8YANdll6Hsv//19/oA8AwejLq5c+HLygLg7+nQ7NkTWNBQ/8UXMN19NwSvFwCQ8M9/ImP8eKCxt0T31VdIWrQosOqz6siRVodr6MzCtojAjBkzsGzZMsycOROJiYmYOXMmcnJyYLVa8fDDD2Px4sVIT09HYWEh3nnnnUC9z/DhwzFlypTAdW688UbYbDY8+OCD0Gg0uOCCC3DDDTeE621EDZUooFuSGiV18Z3gFNZ44PDITHCIKHRUJ2Zn+nr1QkNjHQoAOK+8Es4rrwwcO666Cp6zzw5Mk/f26QPnuHGB3hx1fj7033wD29y5AICEd9+FftMmlH/1FQAg6a9/hXbXLlSuWQMAMHzwAcSyMtTfdZf/+QcPAj4fvE1rw0lSYL2heBOWIapIEU9DVADwylYrjld78Jdr4nf13i/32/Du/9Vg4XUWmBK6Np/nEFVs4RAVBSPcn3tVYSHEigp4hg8HAOg//RTqggLY77sPAJA8bx7Uhw+j6o03AACpDz0EVXk5Kv/nfwAAabNmQXA6UbViBQAg6cUXIWs0gVWk9Rs3Qk5IgKtxREV17BhkoxFSFM0Ua2uIqs2f+Pfee29QF16+fHnHIqKQs6Ro8MNxBzw+GRpVfO4Ef7DcBXOCqsuTGyKicPD16AFfjx6B45N7gwCg7qmnmh3bZs9uVlzsPGn4CwCEujoIJ9X+JKxeDV92diDBSX30Ufh690ZNY12rafp0eAYPhq1xuZbk55+HZ+BAOBpHTgzvvQdvr16B2WHqX36BlJEREQlSmz/1ZzUukAT4N9v85ptvMGHCBGRkZKCiogKff/55qzU0FDmykzWQZaCszoMeaS3XCYp1siwjr8KFsy2nn61HRBQrfI0bnjZxXHNNs+O6P/2p2XHlG28E6oEAwPbww81WmXYPG+af2t1IfegQpMZZzIC/R8hx7bWBBMf8+9+jfvJk2B98EJBlZI4Zg/o770T9zJmdf3Pt1GaCM/ikjdNWrVqFP/7xj81WDR4+fDief/55/O53vwtthNRhlhT/t7e41huXCU6ZzQubU0J/1t8QEbXOYMDJdSruU4ZoT941HgCqVq1qdlzxySeBPcQgy6hZuDAwLR+ShIabb/ave6WAoPrtq6qqWqxZo9frWX8Q4bolayAIiNtC47xyFwCwwJiIKETkpJM2MBYEuC666MSxShXYLkMJQSU4I0eOxMKFC3HjjTfCZDKhsrISGzZswHncyj6iaVQCMhLVcTtV/GC5C0l6Ed2SWH9DRBRvgvrJP3PmTPzrX//CihUrUFVVBZPJhPPPPx833XRTqOOjTrKkxG+Ck1fuQr8MHQQhPgusiYjiWVAJjlarxdSpU8+46jBFnuxkDX4udsIryVCL8fOLvrLei8p6H8YP5PAUEVE8Crrvfvfu3di2bRtqa2vx+OOP49ChQ3A4HDhHoeKhjjA1LoTUxDFuHByTJgEOB0wPPtjifMfVV8NxzTUQqquR9thjLdobJk6E84orIJaWIvWUynQAqL/1VrjGjoWqoAApzz/fot3++9/DPXo01AcOIPmFF1q02+6/H56hQ6H56Sckvfxyi/a6Rx+Fd8AAaHfsQOIphV8AUPuHPyArJQMj8r5DyoxnoFM3X+yp5tlnIWVlQf/FFzCuX9/i+dULF0JOS4Phww9h+PjjFu1VS5YABgMM69bB0Lhre7P2114DABjffBP6//ynWZus06H6pZcAAAkrVkB3ysZsUkoKahYtAgAkvvQStHv2NGv3ZWai9rnnAABJf/sbNAcPNmt3pmUD5/4e/TJ1SH7uOaiPHWvW7unfPzDtMeXJJ6EqL2/W7h4yJDB2nDp3LsTa2mbtrlGjgMZ7Im3WLAguV/PXHzMGDbffDqDlfQfEx73n69ULui1bkPD22y3aI/He0+XlIeUf/0Dq++936t7z9uyJuiefBICQ3XtNM1J474X/3sNbbwFAh+699+x2mP/0JwwZODAkP/fi9t77/vsW5wJBJjgbN27Ep59+issvvxzffvstAH+vzhtvvIHnGr/YFJmyUzT4GYDbK0MXR6UotQ4fDBoBPVK51wu17pJJk3Dg0KFmj31eVwfk5QEn1RcO1uuxq3GHZqL2GL53L/adsmM3WhkJ4T0WGkGtZDxr1iw89dRTyMzMxLRp0/DGG29AkiTMmDEDr7/+ejji7BLxtpIxADg9EmatK8J1Q1Nw1TnJSocTNn/6qATmRDUevDQjZK/BlYyJ4k9nPvePzpuH4WefjVu5vVCX6tRmmw6HA+mnrEro9XqhVsdRl0CU0mtEmIyquCo0tjl9KKnzcv0bIqI4FlSCM2jQIGzYsKHZYxs3bsTZ7FKLCtkpmrhKcPIquP4NEVG8CyrBmT59Or777jvcf//9cDqdePDBB/Htt9/ijjvuCHV81AWyUtQorfNCipN9VfPKXdCoBPQyxd/qzURE5BfUGFNaWhrmz5+PQ4cOoaKiAmazGX379oUYp1uwR5vsFA3cPhmV9T5kJMb+sGJeuQtnpWuhjtMNRomIKMgeHADw+XzweDyQZRn9+/eH2+2G89TqcIpIlmT/TKJ4GKZyeCQcq/agXwaHp4iI4llQf84fO3YMCxcuhEajQWVlJS688ELs27cP33zzDR5++OFQx0id1LTpZkmtB+d2N5zh7Oh2qMIFWWb9DRFRvAuqB2fFihWYPHkyXnzxxcDMqcGDB2P//v0hDY66RoJOhRS9iJJar9KhhFxeuQuiAJyVzvobIqJ4FlSCU1hYiItO3iEU/t3E3W53SIKirpeVokFxHAxR5ZW7kWvSQq9hfRgRUTwL6rdARkYGDh8+3Oyx/Px8ZGVlhSQo6nrZKRqU1vlrqGKVxyfjSKWLw1NERBRcDc7kyZOxYMECjB8/Hl6vF++//z42bdqEu+++O9TxdSnNTz81O5YyMuDLzgZ8Pmh+/rnF+b5u3SBlZQEeDzT79rVsz86GlJEBOJ3QHDjQsr1HD0hmM4SGBqjz8lq0e3v2hJyWBsFuh/qUJeMBwNurF+SUFAi1tVAXFLRs79MHcmIihOrqFnuOAIC3Xz/IRiPEykoMKTuIkqN2uL4rR5JeBQDwDBgA6PUQKyqgKi5u8XzP4MGARgOxtBSqsrKW7eecA6hUUBUXQ6yoaNk+dCgAQHX8OMRTV/4URXiGDPG3Hz0KsaamWbOs0cA7eLC//cgRiHV1zdu1WngHDQIAqA8dgmC3o7Tag76F1RiVngL1wVR4+/f3tx88CMHhaP78xER4+/Txt//yC4RTeiOl5GT4evf2t+/bB8HTvPdLSk0FTCYAgGbPHkCSmrebTPDl5PjbT7nvgPi691SFhS3aY+3ea9ZuMIT83vPl5gLgvafEvYexYwGgQ/feyce897rw3mtjJeOgEpzzzjsPTzzxBL766isMHjwYFRUVmDNnDs4666xgnh4xpMZfSIHjjAz/F9Png9TKjR5od7shlZa23e5wQGrlRpcyMyFlZECor4dUWdmiXc7M9P8gsNkgVVe3+nw5LQ2CTgfplBsdAKRu3SAnJUHUaCCdcqMH2hMSAJUKpiwr8IsdFaIRCaaEQDsM/qJjoZUZcVK3boBWC/h8LW50AP73rlL523y+1tvbuDZUqhPt9fXAqUsOaLWBdtFmg3Tqqtl6faBdqq2FoNXiWIkVAND9rExIqUkn2isrITQ0NHu6nJwcaJcrKiCfEqOcmnqivawM8qk/CEwmIDsbklbrv3dOef+BewOAdPx4y69NHN17p37tm9pj6d47mWw0hvzeC1yf917r7SG895CdDclgCOreGzt7NvafkoS9vWUL5v7lL80eG9izJ7b84x+89zp5750qqL2oYkVxK1/QeFFX78HcV37E5Et74rIR3ZQOJySWrD+AmnoPnr4jPDvcp6enw2q1huW1iCgy8HMfebKzs1t9PKgeHK/Xi3//+9/Ytm0bqqurkZaWhgsvvBA33HADtFrOVokGSUY1jHoVSiodZz45CvkkGYeK7Th/cPqZTyYiUpAoitBoNPA19oBIkgTplOEe6rygEpwVK1aguLgY06ZNQ0ZGBioqKrBhwwasXLkS9913X6hjpC4gCAIsJgNKqmJzccbj5Q1weST065GodChERKclSRJ8Ph8EQYDX61++QxCEmJ4EooSgEpydO3fipZdeQkKCv3ajR48e6NevH2bNmhXS4KhrWcwG/Jjfcsw7FuQX2QAAfbsnKRwJEdGZybIMn88HlUrFHpwQCWqaeGpqKlwuV7PH3G430tLSQhIUhYbFrIfd4YWtIfbWw8krtCEjVYe0JA6ZElHka0puvF4vBEGASqVSOqSYE1QPztixY/H888/jt7/9LcxmMyorK/H5559j7Nix+PmkqV7nnBOe4k7qGIvZP3OgpMqJJKNG4Wi6jizLyCu049w+qUqHQkQUtKYaHJ/PB1EUoVarA0NW1HlBJTibNm0CALz//vstHm9qEwQBS5cu7eLwqCtZTHoAQEmlA/17xM5QTkmVE/VOL+tviCiqnFxzI0kSa3C6WFAJzssvvxzqOCgM0pK00GlElMbYTKq8Qn/9TT/W3xBRFGOC07U6tGHPzz//jF9++aWrY6EQEwQBFrMBJZWxNZMqv9CGlAQNMlK5RQMREfkFleA8/fTTgZ3DN2zYgCVLluDFF1/Ee++9F9LgqOtlmfQoqYqdHhx//Y0NfbsnQhAEpcMhIqIIEVSCc/z4cfRv3N/iyy+/xNNPP42//OUvgfobih4WswE1dg8crtgoZKusc6Pa7kG/GKopIqL488gjj+Dcc8/FZZdd1mr7559/jnHjxmH8+PGYMGECvvvuOwBAZWUlrrvuOlx22WX47LPPAudPmzYNpa1sdxBPgkpwmsYFm75YPXr0QHp6Ourr60MXGYXEiULj2Bimaqq/iaWiaSKKP5MmTcI777zTZvuYMWMCE3teeOEFzJkzB4B/VOWmm27Chx9+iOXLlwMAvvjiCwwZMgRZjftCxaugiowHDBiA119/HdXV1Rg1ahQAf7KTlMRfKtHmxFRxB87Kjv5ZR/lFNhj1KljSDUqHQkTUYeeffz6Ot7JBZZOmhXYBoKGhITAkr1ar4XQ64Xa7IYoivF4vVq5cidWrV4c85kgXVA/O/fffD6PRiNzcXEyaNAmAf+PKK6+8MqTBUddLT9FBrRJiqAfHjr7ZSRBZf0NEMW7jxo0YO3Ys7rjjDrzwwgsAgOuvvx5ff/01pk6dikceeQSrV6/GxIkTYTDwj76genCSkpIwZcqUZo+NGDEiJAFRaImi4C80joGp4nX1HpRVO/HrIdxgk4hi34QJEzBhwgR8++23WLRoEdauXYvk5GS89dZbAICamhosW7YMK1euxNy5c1FTU4O7774bI0eOVDhyZXRomjhFN4vJgNIY2HQzr4j1N0QUf84//3wcPXoUVVVVzR5fvHgxZs+ejQ0bNmDIkCH4+9//jgULFigUpfKY4MShLLMelbUuuD0+pUPplLxCG7RqET0zjUqHQkQUUkeOHAlM+NmzZw88Hk+z/SAPHz6MsrIyXHDBBXA4HBBFEYIgtNhHMp4ENURFscViNkAGUFrlRM9uCWc8P1LlF9pxVnYiVCrm6UQU3e677z7897//RVVVFc477zzMmTMHHo9/Y+Tbb78dn376KdavXw+1Wg29Xo/ly5c3W/tr4cKFeOyxxwAA1113HaZPn45Vq1YFZlvFI0Fux9rQkiShtrY2ancRLy4uVjqEiFBc6cAz//wZ0688C6MHmZUOp0ManF488vIuXHVBNn53YXdFYkhPT4fValXktYlIGfzcR57s7OxWHw+qB6e+vh4rV67Et99+C7Vajbfeegvff/898vPzcfPNN3dpoBR6mak6iAKiutD4ULEdMlh/Q0RErQuqb3/FihUwGo1YtmwZ1Gp/TtS/f39s3749pMFRaKhVIjLTonsmVV6hDSpRQG9L9A6xERFR6ATVg7Nnzx68+uqrgeQGAJKTk1FbWxuywCi0/FPFo3cmVX6RHbndjNBqVEqHQkREESioHhyj0QibzdbsMavVGrW1OOQvNK6occLrk5QOpd3cHh8KSuu5/xQREbUpqATn8ssvxwsvvICff/4Zsizj4MGDePnllzF+/PhQx0chkm02QJKB8urom0J4pKQePklmgkNERG0Kaojq2muvhUajwapVq+Dz+bB8+XKMGzeOWzVEsazAppsOZEfZPk55RTYIAPrEwF5aREQUGkElOIIg4KqrrsJVV13V4Rey2+1Yvnw5du/eHdj6YcyYMS3O27ZtG9atW4eamhpoNBoMGzYM06dPh9HYfDG3kpISzJkzB6NHj8bs2bM7HFe8yjLpIcC/6Wa0ySu0o3uGAUY9l3EiIqLWBf0bory8HMeOHYPT2bwwtbUkpTUrV66EWq3GihUrUFBQgPnz5yM3Nxc5OTnNzhswYADmzZuH5ORkOJ1OvPbaa3j33Xcxffr0ZuetWrUKffr0CTZ8OoVWo4I5RRd1hcY+n4TDxXbuP0VERKcVVILz/vvvY/369cjJyYFWqw08LghCUAmO0+nEjh078MILL0Cv12PgwIEYOXIktmzZgqlTpzY7Nz29+S8uURRRVlbW7LFt27bBaDSif//+KC0tDeYtUCssZj1Ko6wH51h5A9xeifU3RER0WkElOB9//DEWLlyIHj16dOhFSkpKIIpis9UGc3NzsW/fvlbP379/P+bPnw+HwwGdTtdsqemGhgasW7cOTz31FL766qvTvu7mzZuxefNmAMCCBQtaJE/x7qweVny6/SjS0kxRs93Btn11AIDRQ3KRmqRTNBa1Ws17iijO8HMfPYJKcBITE5GRkdHhF3E6nS1qaIxGY4vhriYDBw7E6tWrUVVVhc2bNzd77bVr1+LSSy8N6gYbN24cxo0bFzjm8trNpRhkeLwS9h8uRrc0vdLhBOXHA2XolqaH12WD1WU78xNCiEu2E8Uffu4jT1tbNQT1Z/udd96JV199FYcOHYLVam32XzD0ej0cjuZDIQ6HA3r96X+pmkwmDBs2DEuWLAEAFBQUYM+ePbj66quDel06vWyzf/ZUaZSsaCzJMvKLbejbnbOniIjo9ILqwfF6vdi9eze2bdvWom3t2rVnfL7FYoHP50NJSQksFgsA4OjRoy0KjFsjSVKgzmbv3r2oqKjAvffeC8DfMyRJEh577DEsXLgwmLdCJzkxVdyJoX0VDiYIJVYHGpw+1t8QEdEZBZXgrFy5Erfccgt+/etfNysyDpZer8fo0aOxdu1a3HPPPSgoKMDOnTvx3HPPtTh369atGDRoEMxmM6xWK9asWYMhQ4YA8A85/frXvw6c++GHH6KiogIzZ85sd0wEGHRqpCZqomaq+MFC/5AUExwiIjqToBIcSZJw6aWXQhQ7Xog6Y8YMLFu2DDNnzkRiYiJmzpyJnJwcWK1WPPzww1i8eDHS09NRWFiId955B/X19UhISMDw4cMxZcoUAIBOp4NOd6KwVK/XQ6PRIDk5ucNxxTuL2RA1m27mF9mRlqiBObn9STYREcUXQZZl+Uwnffjhh/B6vbj++ushCEI44gqJ4uJipUOIOGu/OoptP1vx4qwRECP4eyvLMh579ScMyEnC76+KjPWPWGxIFH/4uY88bRUZB9WDs3HjRtTU1OD9999HYmLzAs/ly5d3PjpSjMVsgMsjocbmhilZ2WnXp2OtdaG23oO+HJ4iIqIgBJXgzJo1K9RxkEKyGmdSFVc6IzrBYf0NERG1R1AJzuDBg0MdBykku3EmVWmVA+f0TlE4mrblF9qRoFfDYoqO9XqIiEhZQe9FVVBQgF9++QU2mw0nl+1Mnjw5JIFReCQaNUgyqCO+0DivyIZ+PRKjugaMiIjCJ6gEZ/PmzVi9ejXOPfdc/Pjjjxg2bBh2796NkSNHhjo+CoMssyGiN92ssbtRUePCxUMzlQ6FiIiiRFDzvj/44AP84Q9/wNy5c6HVajF37lw88sgjUKlUoY6PwsBi1qOkyoEgJtQpIo/1N0RE1E5BJTh1dXUYNGgQAP8O4pIkYfjw4fi///u/kAZH4WExGdDg9KGuwat0KK3KK7RDpxGRk2k888lEREQIMsExmUwoLy8H4N924fvvv8cvv/wCtTroEh6KYBZz05YNkVmHk19kQ5/sRKhE1t8QEVFwgspQrr32WhQVFSEzMxMTJ07E3//+d3i9XkybNi3U8VEYWBqnipdUOjCwZ2StCl3v8KLI6sDIASalQyEioigSVIJzySWXBP49fPhwvPHGG/B6vWfcDZyiQ0qCBnqtKiILjfOL7QDABf6IiKhd2kxwJElq80miKEKr1UKSpE7tT0WRQRAEWMx6lEbgppt5hTaoVQJ6ZyUoHQoREUWRNhOcW265JagLrF27tsuCIeVkmw3Yc7hG6TBayC+yoVdWAjRqJtJERBS8NhOcpUuXhjMOUliWSY9tP3tR7/AiwRAZxeNOtw9Hyxrwm1FZSodCRERRps3fZBkZGaipqUFqamoYwyGlBAqNqxzo2z0y6l2OlNghSXLExENERNHjtP3+Dz74YLPjv/3tbyENhpRzYiZV5BQa5xXaIQhAn+zEM59MRER0ktMmOKeubLt3796QBkPKMSVroVGLKImgQuO8IhtyMo0w6LhiNhERtc9pExxubBg/REGAxaSPmMX+vD4JR0rs6MfhKSIi6oDTVpP6fD78/PPPgWNJkpodA8A555wTmsgo7LLMeuQV2pUOAwBwtLQeHq/M/aeIiKhDTpvgpKSkYPny5YHjxMTEZseCIHC2VQyxmA347pcqON0+6LXKDgvlFTUu8Ned9TdERNR+p01wXn755XDFQRHAYvIXGpdWOdArS9nEIq/QBotJjySjRtE4iIgoOnH1NAo4semmsjOpJElGfpGd2zMQEVGHMcGhgIxUPVSioHihcZHVAafbx/obIiLqMCY4FKASBXRL0yveg5NXaAMA9GP9DRERdRATHGomEjbdzCuywZyshSlZp2gcREQUvZjgUDNZJgMqal3weNveTT6UZFlGXqGNw1NERNQpTHCoGYtZD1kGyqqVGaYqr3bB1uDl/lNERNQpTHComezAnlTKDFMF6m96sP6GiIg6jgkONZOZpocgKDdVPK/IhiSjGt3S9Iq8PhERxQYmONSMRi0iI1Wn2KabeYU29OuexH3QiIioU5jgUAsWk0GRIaqqOhcq69zoy+EpIiLqJCY41ILFrEd5tQs+X3hnUuU37j/FHcSJiKizmOBQCxazAT5JRkWNK6yvm1dog16rQo8MY1hfl4iIYg8THGohq3HTzeIw1+HkFdnQt3siRJH1N0RE1DlMcKiFLJN/BlNpGGdS2Rs8KKl0cniKiIi6BBMcakGvVcGUpA1roXFT/Q0LjImIqCswwaFWWcwGlFSFrwfnYJENGrWA3G4JYXtNIiKKXUxwqFVNm25KkhyW18srtKF3ViI0at6SRETUefxtQq2ymAzweGVU1oV+JpXT7cPx8gZusElERF2GCQ61ymJuLDQOwzDVoWI7ZJn7TxERUddhgkOtymrcdLM4DIXGeYU2iALQ28IEh4iIugYTHGpVgl6N5ARNWKaK5xXa0LNbAvRaVchfi4iI4gMTHGqTxawP+aabHq+EgtJ69OvO3hsiIuo6THCoTU2bbspy6GZSFZTWw+uTWWBMRERdigkOtcliNsDpllBj94TsNfIKbQCAPlzBmIiIuhATHGqTpXHLhlCuaJxXZEN2ugGJBnXIXoOIiOIPExxqk6VxJlWopor7JBmHiuzcf4qIiLpc2P5sttvtWL58OXbv3o2kpCRMmTIFY8aMaXHetm3bsG7dOtTU1ECj0WDYsGGYPn06jEYjPB4PVq5ciT179sButyMrKwu33HILhg8fHq63EVeSjGok6FUh68EprGiAyyNx/RsiIupyYUtwVq5cCbVajRUrVqCgoADz589Hbm4ucnJymp03YMAAzJs3D8nJyXA6nXjttdfw7rvvYvr06fD5fDCbzfjzn/+M9PR07Nq1C4sXL8bf/vY3ZGZmhuutxA1BEJBlMoRsLZym+pu+7MEhIqIuFpYhKqfTiR07dmDy5MnQ6/UYOHAgRo4ciS1btrQ4Nz09HcnJyScCFEWUlZUBAPR6PSZNmoTMzEyIoojzzjsPmZmZOHz4cDjeRlyymA0hG6LKK7QhPUWHtCRtSK5PRETxKyw9OCUlJRBFEdnZ2YHHcnNzsW/fvlbP379/P+bPnw+HwwGdToc5c+a0el5NTQ1KSkpa9AI12bx5MzZv3gwAWLBgAdLT0zv5TuJP3542/GdPBTT6JKQk6rrsurIs43DJjzhvYGbUfl/UanXUxk5EHcPPffQIS4LjdDphNBqbPWY0GuF0tt4zMHDgQKxevRpVVVXYvHkzMjIyWpzj9Xrx0ksv4eKLL0b37t1bvc64ceMwbty4wLHVau3Eu4hPyXoJALA3vxj9u3CtmpJKB+rqPcgxa6L2+5Kenh61sRNRx/BzH3lO7jw5WViGqPR6PRyO5nUcDocDer3+tM8zmUwYNmwYlixZ0uxxSZKwdOlSqNVqTJ8+vcvjpRNCNVW8qf6GC/wREVEohCXBsVgs8Pl8KCkpCTx29OjRNoeWTiZJEkpLSwPHsizjlVdeQW1tLR599FGo1Vw/JZTSkrTQacSQJDjJCRpkpHbdsBcREVGTsPXgjB49GmvXroXT6cT+/fuxc+dOjB07tsW5W7duhdVqhSzLqKiowJo1azBkyJBA+4oVK1BUVITHHnsMWi2LU0NNEAR/oXEXbropyzLyCm3o1z0RgiB02XWJiIiahK37Y8aMGVi2bBlmzpyJxMREzJw5Ezk5ObBarXj44YexePFipKeno7CwEO+88w7q6+uRkJCA4cOHY8qUKQCAiooKbN68GRqNBjNnzgxc+6677sJFF10UrrcSdyxmPX45Wtdl16usc6Pa7uHwFBERhYwgh3InxQhTXFysdAhR6bPvSvD+1kK8+MBwGHSdz4m/3WfFGxuP4Knbz0aPDOOZnxChWGxIFH/4uY88ihYZU3Rr2rKhpIuGqfIKbTDqVMhON3TJ9YiIiE7FBIfOqKtnUuUV2tGneyJE1t8QEVGIMMGhM0pP0UGtElDSBSsa19V7UFbtZP0NERGFFBMcOiNRFJBl0ndJD05eUeP6N9x/ioiIQogJDgXFYjJ0SYKTX2iDVi2iZ7foLS4mIqLIxwSHgmIxG1BV54bL4+vUdfIK7TgrOxFqFW89IiIKHf6WoaBkmfWQAZR1og7H4fKisKIBfbsndl1gRERErWCCQ0EJTBXvRIKTX2SHDHTppp1EREStYYJDQclM1UEUhU7V4eQX2aASBfS2JHRhZERERC0xwaGgqFUiMlN1nUpw8grtyO1mhFaj6sLIiIiIWmKCQ0GzmA0dXs3Y7ZFQUFqPvhyeIiKiMGCCQ0HLMulRUeOE1ye1+7lHSu3wSTLrb4iIKCyY4FDQss0GSDJQXu1q93PzCm0QAPTJ5gwqIiIKPSY4FLQTm262vw4nv9CO7hkGGPWd342ciIjoTJjgUNC6pekhAChuZ4Lj80k4VGzn/lNERBQ2THAoaFqNCHOKDqXtXAvnWHkD3F6J+08REVHYMMGhdrGY27/pZl6hf4NNzqAiIqJwYYJD7WIxGVBW7YRPkoN+Tn6RHZlpOqQkaEIYGRER0QlMcKhdLGYDvD4Z1trgZlJJsoy8IhuHp4iIKKyY4FC7WMx6AMHPpCqxOtDg9LHAmIiIwooJDrVLlsk/Vbw0yBWN84rsAMAEh4iIwooJDrWLQadCaqIGJVXB9eDkFdqQlqiBOVkb4siIiIhOYIJD7ebfk+rMCY4sy8gvsqFvjyQIghCGyIiIiPyY4FC7WcwGlFY5Icmnn0llrXWhxu7h8BQREYUdExxqN4tJD5dHQrXNfdrz8gob6284g4qIiMKMCQ6124k9qU5faJxXaEOCXo2sxplXRERE4cIEh9rNYgpuqnhekQ19uydCZP0NERGFGRMcardEowZJBjVKTzOTqsbuRkWNi/U3RESkCCY41CH+mVRtD1E17T/FBIeIiJTABIc6JKtx0025jZlU+UV26DQicjKNYY6MiIiICQ51kMVkQIPLh7oGb6vteYU29MlOhEpk/Q0REYUfExzqkNPtSVXv8KLY6kBfDk8REZFCmOBQh5yYKt4ywckvtkMG62+IiEg5THCoQ1ISNDDoVK0WGucX2qBWCeidlaBAZERERExwqIMEQUCWSd/qppt5RTb0ykqARs3bi4iIlMHfQNRh2WYDSk8ZonJ5fDha1sDhKSIiUhQTHOqwLJMedQ1e1DtOzKQ6XFwPSZLRl/tPERGRgpjgUIcFCo1PGqbKK7RBEIA+2YlKhUVERMQEhzqutU0384tsyMkwwqBTKRUWERERExzqOFOyFlq1GJgq7vVJOFxiZ/0NEREpjgkOdZh4ykyqo2UN8Hhl9O3B4SkiIlIWExzqFP+eVP4hqsAGmywwJiIihTHBoU6xmA2otrnhdPuQV2iDxaRHklGjdFhERBTnmOBQp2Sb/IXGxVYHDhXbuf8UERFFBCY41ClZjZtufn+wCg6XjwXGREQUEZjgUKdkpOqhEgV8u9cKAOjXnQXGRESkPHW4Xshut2P58uXYvXs3kpKSMGXKFIwZM6bFedu2bcO6detQU1MDjUaDYcOGYfr06TAaje26DoXH9wcqAQD1Th9Ewb8P1ehkncJRERFRvAtbgrNy5Uqo1WqsWLECBQUFmD9/PnJzc5GTk9P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ufNkkIqJYFLJP1eXLl0OSJCxbtgylpaUoLi5GXl4ecnNzffbr168fZs+ejcTERFitVixduhRvvPEGpkyZAgBYsWIFEhMT8dJLL8FsNmP27Nn46KOPcMUVV3iPsXLlSqhU4ft1HmyeLio716PqNLPNFdYMDuAOcADg17JGDOqVHNa2EBHFmpB0UVmtVnz11VeYNGkSdDodCgoKMGzYMGzevLnVvkajEYmJiScaKIqorKz03q6qqsKoUaOg0WiQnJyMwsJCHDlyJBRPI2J4homzi6rz3DU44Q1wemTGQyUKrMMhIgqCkGRwysvLIYoisrOzvffl5eVhz549be6/d+9eFBcXw2KxQKvVYtasWd5t48aNw5dffokBAwagqakJ3333HSZNmuTz+GnTpkEQBAwePBg33XSTT8AUCzhM/My4XDLsThlxYSwyBgCNWoWzuulZh0NEFAQh+YS3Wq3eGhoPvV4Pq9Xa5v4FBQVYtWoVampqUFJSgvT0dO+2/v3749NPP8Wtt94KWZbxm9/8BsOHDwcAJCYmori4GD169EBDQwNWrFiBhQsX4rHHHmt1jpKSEpSUlAAA5syZA6PRGKinG3QqrQ0AoNHpo6rdkaK+yT33jDE1EUajEZIkhe11HJSfgfe/LEViUgo06tjtVqWuJZzvKSKPkAQ4Op0OFovvwoIWiwU6ne6Uj0tNTUVhYSEWLFiAuXPnQpZlPPPMM7jkkkvw9NNPw2q1YsmSJVi9ejVuuukm6HQ69O7dGwCQnJyM22+/HXfeeSfMZnOrAKuoqAhFRUXe2yaTKUDPNvg86yjVHK+PqnZHiupad2AtO60wmUwwGo1hex1zUlVwuhR8u+eQd24comgXzvcUdT0te4daCkkNTlZWFlwuF8rLy733HTx4sFWBcVtkWUZFRQUA90isY8eO4fLLL4darUZCQgLGjh2LHTt2BK3tkUjDGpwzEs6VxE/WO9tdaMxuKiKiwApJgKPT6TBixAisXbsWVqsVe/fuxfbt2zFmzJhW+27ZsgUmkwmKoqC6uhpr1qzBoEGDALi7oDIyMvDxxx/D5XKhqakJmzZtQl5eHgDgl19+QVlZGWRZRkNDA1555RUMGDCgVfYm2qlEAZJKgN3JUVSdcWIl8fAHOAl6NTJTdSw0JiIKsJBVWd5xxx1YvHgxpk6dCoPBgKlTpyI3NxcmkwkzZ87E/PnzYTQaceTIEaxevRpNTU2Ij4/HkCFDMHnyZO9xZs2ahZUrV2Ljxo0QRREDBgzArbfeCgCorKzEmjVrUF9fj7i4OAwePBgzZswI1VMMKY0kssi4k06sJB4Zc8/k5xjw7S/HISsKREEId3OIiGKCoHA5YwBAWVlZuJvQIX966TsM6JGEWy7rGe6mRJ2tP1Tj1Y9K8cwdg2FM0oa9XuA/u01Y+eEBPHHrQGQb48LWDqJACfd7irqWsNbgUOBp1CJrcDrJEkE1OMCJCf/YTUVEFDgMcKKUVlJxqYZO8gY4YZ7J2MOYpEVivJqFxkREAcQAJ0pp1KzB6SyLzQWdRoQoRka9iyAIyM8xMINDRBRADHCilLuLiqOoOiMS1qE6WX6OAcfq7TjeYA93U4iIYgIDnCilkUR2UXWSxeZEXISt3u2Z5I9ZHCKiwGCAE6VYZNx5lgjM4HRP10OrFlmHQ0QUIAxwopRWzQxOZ1lsLuh1kRXgqEQBvbJYh0NEFCgMcKIUJ/rrvEiswQGA3jkGHK22wNI8ESEREXUeA5wopVGr2EXVSRabK2LmwGkpPycBCoD9ZU3hbgoRUdRjgBOlNGoRLlmBy8UgpyMURYHF7oqYZRpa6pkVD1FgoTERUSAwwIlSWs+K4qzD6RC7U4YsKxGZwdFpVDirWzz2s9CYiOiMMcCJUhqpOcBhN1WHRNJK4m3pnWPAgYpGOJmZIyI6IwxwopSmOYPDQuOOMUfYOlQny88xwOFUcKjSHO6mEBFFNQY4UUrDLqpOObHQZuTV4ABAfjYn/CMiCgQGOFFKI7kzEMzgdIxnCHakZnAS49XISNFywj8iojPEACdKeYuMGeB0iCXCu6gAdxZn39FGKIoS7qYQEUUtBjhRyttFxQU3OyTSi4wBdx1Ok9WJyhpruJtCRBS1GOBEKa3EGpzOiPQiY6DlwpvspiIi6iwGOFFKwy6qTrHYXBBFwTvMPhJlpGiRECdhXxkLjYmIOityP+XplDxf0Cwy7hiLzYk4jQqCIIS7Ke0SBAG9cwzM4BARnQEGOFFKo3Z3sbCLqmMicSXxtuTnJKC61oa6Rnu4m0JEFJUY4EQptSRAALuoOipSVxI/WX6OAQCwr4xZHCKizmCAE6UEQYBGLXIUVQdF6kriJzsrQw+1JLKbioiokxjgRDGNJMLGLqoOca8kHvkBjkololdWPGc0JiLqJAY4UcydwWGA0xEWqzNil2k4WX5OAg5XmWG1M0tHRNRRDHCimEYtssi4gyx2V0RP8tdSfo4BigIcKGc3FRFRRzHAiWIaiRmcjpBlBVa7HBVdVADQM8sAQeCEf0REncEAJ4pp1SoGOB1gsUf+LMYtxWlV6J6uZ4BDRNQJDHCimEYtwsZRVH6LhoU2T5afY8CB8ka4XAxkiYg6ggFOFGMNTsecWGgzOoqMAXehsc0h43C1OdxNISKKKgxwohhrcDrGbHMCiK4MTu/s5gn/2E1FRNQhDHCimJbDxDskGruoUhI0MCZpGeAQEXUQA5woppHYRdURJ7qooifAAdx1OPuONkBRlHA3hYgoajDAiWKa5lFU/OLzjzeDEwVrUbXUO8eABrMTVbW2cDeFiChqMMCJYhq1CAWAw8kAxx/R2EUFuAuNAXDZBiKiDmCAE8U0kvvPxwU3/WO2OaGRRKhU0XXZZ6XqEK+TsJ91OEREfouuT3ryoVU3Bzisw/GLxeaCXhdd2RvAvXK8uw6HAQ4Rkb9CNiFIY2MjlixZgp07dyIhIQGTJ0/G6NGjW+23detWrFu3DrW1tVCr1SgsLMSUKVOg1+sBAFVVVVixYgV+/vlnSJKEkSNH4o9//CNUKvcX165du7BixQqYTCb06dMH06ZNQ3p6eqieZkhpmgMcG0dS+cVic0Vd/Y1H7xwDvt9fi3qzA4l6dbibQ0QU8UKWwVm+fDkkScKyZctw//33Y9myZTh8+HCr/fr164fZs2dj1apVWLRoEWRZxhtvvOHdvmLFCiQmJuKll17Cc889hz179uCjjz4CANTX12PevHmYNGkSXn75ZfTq1QsvvPBCqJ5iyGnU7i9rZnD8Y7G5oIuy+hsPTx0Ou6mIiPwTkgDHarXiq6++wqRJk6DT6VBQUIBhw4Zh8+bNrfY1Go1ITEw80UBRRGVlpfd2VVUVRo0aBY1Gg+TkZBQWFuLIkSMAgK+//hq5ubne7RMnTkRpaSmOHj0a/CcZBp4aHGZw/ONeSTx6ZjFu6awMPdSSwEJjIiI/heTTvry8HKIoIjs723tfXl4e9uzZ0+b+e/fuRXFxMSwWC7RaLWbNmuXdNm7cOHz55ZcYMGAAmpqa8N1332HSpEkAgMOHDyMvL8+7r06nQ2ZmJg4fPoycnByfc5SUlKCkpAQAMGfOHBiNxoA931DpZnZnI+LiDFHZ/lCzORTkZOhbvVaSJEXF69cnNxkHK61R0Vbq2qLlPUWxLSQBjtVq9dbQeOj1elit1jb3LygowKpVq1BTU4OSkhKfGpr+/fvj008/xa233gpZlvGb3/wGw4cP956nZfbnVOcpKipCUVGR97bJZOr08wsXc5N7faLqmuMwmYQwtybyNVrsUMHZ6m9tNBqj4u+fl6HDR9srcLS8Elp1dHa1UdcQLe8pig0tkycthaSLSqfTwWKx+NxnsVig0+lO+bjU1FQUFhZiwYIFAABZlvHMM89gxIgReO2117BixQo0NTVh9erV7Z7HbDaf9jzR6sQwcXZR+SOaa3AA94zGsqygtLwp3E0hIop4fgU4TqcThw4dwt69e3Ho0CE4nc4OnSQrKwsulwvl5eXe+w4ePIjc3NzTPlaWZVRUVABwj8Q6duwYLr/8cqjVaiQkJGDs2LHYsWMHACA3NxcHDx70PtZqtaKystKv80Qj7zBxBjin5XDKcLqUqFumoaVeWQYI4MKbRET+OGUX1bfffouPP/4YP/zwA1QqFeLi4mCxWOByuTBw4EBccsklOPfcc097Ep1OhxEjRmDt2rW4++67UVpaiu3bt+Ppp59ute+WLVtw9tlnIy0tDSaTCWvWrMGgQYMAAImJicjIyMDHH3+M3//+97Bardi0aZO37ua8887Da6+9hm3btmHo0KFYv3498vLyWtXfxAoOE/ef2TuLcXQWGQOAXichJz2OhcZERH5o99P+8ccfR3x8PEaPHo0777wTqamp3m3Hjx/H7t278cknn2DDhg2YPXv2aU90xx13YPHixZg6dSoMBgOmTp2K3NxcmEwmzJw5E/Pnz4fRaMSRI0ewevVqNDU1IT4+HkOGDMHkyZO9x5k1axZWrlyJjRs3QhRFDBgwALfeeisAdwD00EMP4eWXX8bChQvRp08fzJgx40xen4jm7aLiMPHTstjcWcdoW6bhZL2zE7BtjwkuWYFKZN0VEVF7BKWdlRoPHTqEs84667QH8He/SFdWVhbuJnTKtPnf4JJh3XDNhbHZDRcoB8obMef1HzH9mj4Y1CvZZ1s0FUR+/eMxrHj/Vzx2U3+c1S0+3M0halM0vaco+nW4yNjfoCUWgptoplWLrMHxQ7SuJH6y/BwDANbhEBGdjl9Fxu+99x5KS0sBAD///DPuueceTJ8+HT/99FMw20Z+0KhFdlH5wRvgROFaVC2lJmqRmqBhHQ4R0Wn4FeD861//QkZGBgBgzZo1+N3vfodrr70Wq1atCmrj6PQ0ksgiYz+YYySDA7izOPvLGtFO7zIREcHPAMdsNkOv18NisaC0tBTjxo3Db3/726itW4klGnZR+cVTZKzXRe8oKo/8nATUNjpwrN4e7qYQEUUsvz7t09LS8NNPP+Hw4cM4++yzIYoizGYzRDFka3VSOzQSAxx/mG0uCMKJuYOi2Yk6nAYYk7Rhbg0RUWTyK8C56aab8Le//Q2SJOGhhx4C4J4jJz8/P6iNo9PTqlWswfGDxeZCnEYFQYj+odVZxjjEaVX45UgjRvbnej9ERG05ZYBTUVGBzMxMDB06FC+99JLPtpEjR2LkyJFBbRydnkYtosHiCHczIp7V7or6OXA8REFA72wD9rPQmIioXacMcIqLiwEAQ4YMwdChQ9G/f39Ikvshnv9SeHEUlX/M1tgJcAB3N9UPB+rQaHbAoFeHuzlERBHnlFHKggULUFlZiW+//RbvvfceFixYgH79+mHo0KEYMmQI0tLSQtVOagdrcPxjsbugj+JlGk6Wn5MAANhf1ohz8lPC3Boioshz2k/8bt26Ydy4cRg3bhzsdjt27dqFHTt24O2330ZcXByGDBmCiy66qN2ZBCm4OIrKPxabE2mJsVOQ2yMzHpJKwL6jDHCIiNrSoZ+0Go0G5557rneBzcOHD2PHjh04dOgQA5ww0bKLyi8WW2x1UaklEXnd4jnhHxFRO/wOcGw2GyoqKmC1Wn3uv+qqqwLeKPKfRlLB6VK4+OJpmGMswAGA3jkGfPrfStgdsndleSIicvMrwNm0aRNefvllSJIEjUbjs23JkiVBaRj5x/PFZnfIMfcFHiiyosAagwFOn5wEfLy9AqWVTejbPSHczSEiiih+BTj//Oc/8dBDD2Hw4MHBbg910IkAJ/a+wAPFZpehADFVZAwAvbNPTPjHAIeIyJdfeW1JktC/f/9gt4U6wTMzL+tw2udZpiEW1qFqKT5OQnZaHPZzZXEiolb8CnAmTZqEV199FfX19cFuD3WQRjrRRUVti5WVxNviWXhTlrnwJhFRS37l7LOzs7Fu3Tp89NFHrbatXbs24I0i/3m6qLiiePtiaSXxk/XOMWDzzmqUHbOge7o+3M0hIooYfgU4CxcuxJgxY3D++ee3KjKm8NKo3V/a7KJqnyeDo4/JDI679mbf0UYGOERELfgV4DQ2NmLSpEkxsVBhrPF0UTGD0z6ztwYntoqMASAtUYNkgxr7jjZgbGFGuJtDRBQx/KrBGTt2LDZv3hzstlAnaFuMoqK2xXINjiAIyM9JwD4WGhMR+fDrJ+2+ffvw4Ycf4v/9v/+H5ORkn21PPvlkMNpFfmo5Dw61zRLDNTiAu9D4m59qUFNvQ2oMLUdBRHQm/MrgXHzxxbjrrrtwzTXX4KKLLvL5R+GllThM/HQsNhcklQC1FJuz/baswyGi2PfZZ5/hwgsvxAUXXIBFixa12r5v3z78/ve/R8+ePfGPf/zDe/+xY8dw9dVX47e//S0+/PBD7/233XYbKioqQtL2UPIrgzN27NggN4M6ixmc03OvJB6b2RsAOFptBgCseP9XvL3lCK6+MAcjzjaGuVVEFAwulwuPPfYY1qxZg6ysLFxxxRW49NJL0bdvX+8+ycnJmD17tk8QAwAbNmzAxIkTMX78eNx44424/PLL8fHHH2PQoEHIzMwM9VMJunZ/0n7zzTd+HcDf/Sg4JBYZn5bZ6kRcjM1i7PHVjyasLjnovV3TYMc/Pz6Ir340hbFVRBQsO3bsQI8ePZCXlweNRoPx48e3msLFaDSisLAQarXa535JkmC1WmG32yGKIpxOJ5YvX4577rknlE8hZNr91N+6dSvWrFmD0aNHo3///sjOzkZcXBwsFgvKy8uxZ88ebNmyBXl5eRg2bFgo20wtiIIAjcQVxU/FYo/dZSw2bDna6m9vd8rYsOUoszhEMaiiogLZ2dne21lZWdixY4dfj73mmmtw7733Yv369Xj00UexatUqTJgwAXFxccFqbli1G+DMmDEDhw4dwieffIJFixahqqrKuy0zMxNDhgzBAw88gNzc3JA0lNqnUYscRXUKlhhcaNOjpsHeofuJKLopSutZy/2dwiUxMRGvvfYaAKC2thaLFy/G8uXL8fDDD6O2thZ33XVXTCUsTpm3P+uss3D77bcDAGw2G5qamhAfHw+tliM1IolWzQzOqVhsLqQmxOYElakJmjaDmVh9vkRdXVZWFsrKyry3y8vL0a1btw4fZ/78+bj//vuxYcMGDBo0CNdccw1uu+02rF+/PpDNDSu/h5VotVqkpqYyuIlAGklkDc4pmGM4g3P1hTneyR5b6pHJWY2JYlFhYSEOHDiAQ4cOwW63Y+PGjbj00ks7dIxff/0VlZWVGDVqFCwWC0RRhCAIsNlsQWp1eMRm5WUX4+6iYoDTHovNFbNz4HjqbDZsOYqaBjtSEzRITlBjxy+12F1ahwE9ksLcQiIKJEmS8PTTT2Py5MmQZRmTJk1Cv3798OqrrwIAbrnlFlRVVWHcuHFobGyEKIpYtmwZPv/8cyQkuKeUmDt3Lv70pz8BAK6++mpMmTIFK1aswKxZs8L2vIJBUNrq0OuCWqb8os28tXshCMBD1xeEuykRx+mSce8L/8VVF+TgypHZbe5jNBphMsXOqCObw4U5r/+IukY7Hrt5ANI4+R+FWKy9pyiytSy6bik2Zz7rYjQSMzjtifVZjNuiVatw91X5cMnAS+/sg4P1WUTUBTHAiQFadlG1K5ZXEj+Vbik63HZ5TxysNGPtZ4fC3RwiopBrtwbH34l/lixZErDGUOdo1CJsHCbeJnMXzOB4FPZJwWXDM/HR9gr0yjLg/IGcF4eIuo52A5z77rvP+//79u3Dpk2bMG7cOKSnp6O6uhofffQRxowZE5JG0qlpOEy8XSdWEu+a9fTjR3dHaUUTXv+0FLkZeuRmcHQVUbSTJAkul6vNOXHohHa7qPr37+/9t2nTJjz22GMoKirCOeecg6KiIjzyyCP4/PPPQ9hUag9rcNpnsTkBdM0MDgCoRAF3/K434nUS/vHOPjRZneFuEhF1kEql8k7mp1arGdz4ya8anJqaGuh0Op/7dDodampqgtIo6hitWgW7Q+YF3wZvBidG58HxR6JejTt/n4/jDXa88sGvkHmdEEWVlsGNw+HgZ72f/MrbDxs2DHPnzsV1112H1NRUHDt2DBs2bMC5557r94kaGxuxZMkS7Ny5EwkJCZg8eTJGjx7dar+tW7di3bp1qK2thVqtRmFhIaZMmQK93p1av/nmm332t9vtuOyyyzBlyhRUVVVh+vTpPpMRjh8/HhMmTPC7ndFII4lQADhdCtSSf1N2dxUWe3ORcRcOcACgd7YBE8fm4o1/H8IHX5W3O2SeiCKLKLrzECqVCg6HI8ytiS5+BThTp07Fm2++iWXLlqGmpgapqakYOXIkJk6c6PeJli9fDkmSsGzZMpSWlqK4uBh5eXmt1rLq168fZs+ejcTERFitVixduhRvvPEGpkyZAgDedTQAwGq1YurUqRg5cqTPMVauXAmVqut8oWnUJ1YUV7cxq21XZra6AxxdF+2iamlsYQZ+LWvEu1uPomdmPPpzEkCiiCdJEhRFgaIokCQJsixDllmS4A+/AhyNRoMbb7wRN954Y6dOYrVa8dVXX+H555+HTqdDQUEBhg0bhs2bN7c6ptHoO9JDFEVUVla2edxt27YhKSkJZ599dqfaFSs8AY7d4QLiumYxbXssdhd0GhVEkZktQRBw06U9cMRkwfJ//YrHbu7PSQCJIpzL5YIsswShM/z+Nty5cye2bt2Kuro6PPLII9i/fz8sFgsGDhx42seWl5dDFEWf2Qbz8vKwZ8+eNvffu3cviouLYbFYoNVq250+etOmTRgzZkyrlVSnTZsGQRAwePBg3HTTTUhMTDxtG9Xbt/vcljMz4crNBVwuqL/9ttX+ruxsyDk5gN0O9ffft96emws5MxOwWKD+4YfW23v0gJyeDqGpCVIbr4OrVy/IaWkQGhog7d3barszPx9KSgqE48eR+dNOFJSVQb3dDnWie5FFZ0EBlIQEiMeOQfXrr60f378/lPh4iNXVUJWWttruGDgQiIuDWFEB1eHDrbefcw6g0UA8ehSqNmaBdgwdCqhUUB0+DLGiovX24cMBAKrSUojV1b4bVSr34wGo9u+HeHKtl0bjPj8A6ZdfINTW+m7X6eAYNAgAEP/rLxhUVQX19hPD6BW9Hs4BA9yP370bgkYDdYtjKImJcPbrBwBQ79oFWK0+h1eSk+Hs08e9/fvvAbvvYpdyaipcvXu7t3/7LeDyHcIvp6fD1aOHe/tJ1x0Q3GtPDWD6qCw89VEVVq7/AQ/3d0Gl8n3/dOTak/bta72d1557+08/Qaiv99nc6tozm323x9K118bxA/m5F8vXnnXXLix79VU8eP31AJqLZXnttX/tjR/fan/AzwDngw8+wPvvv4+LL74Y27ZtA+DO6rzyyit4+umnT/t4q9XqraHx0Ov1sJ70AnoUFBRg1apVqKmpQUlJCdLT01vtYzKZsGfPHp/5ehITE1FcXIwePXqgoaEBK1aswMKFC/HYY4+1enxJSQlKSkoAAHPmzEGy03d0ieJwuP+ALhcEZ+uRJ97tdvuptzscbW9vfmy7jz/d9hbHrxbc6UqdzY5kp+j/8dXqUx9fpTp1+4FTb+/s42X51NsF4dTbHQ7vdtnmgF4Sff++LbYLDgdUTU1IbvlmPGk72rs2/N1+UjrZZ/up/rZBuvaS4gXcX5SLv2/4EVssx3H10Azfx3fg2uv0td0Frr22ro0z3R4t157U1NTqMxUI7OdeLF17hTNnYk8bAdWc11/3ud2/b1/s+OgjXnttbG+LXwHO+++/j8cffxwZGRnYuHEjACAnJ8fv9Zt0Oh0sFovPfRaLpdXIrJOlpqaisLAQCxYswNy5c322bdq0CQUFBcjIOPHhrNPp0Ls5gkxOTsbtt9+OO++8E2azuVWAVVRUhKKiIu9tpbjYt31FRbBcfz1gsSD1pG0AYPnd72C56ioIx48jpY3t5gkTYL30UogVFUhuY3vTTTfBNmYMVKWlSGpje+Ptt8M+YgSkn35C4vPPt9recO+9cJxzDtTff4/cpQtxS60dSbs1UDTuAKf+oYfg7NcPmq+/hmHFilaPr3v0Ubh69IB261bE//OfrbbXPvUU5MxM6D77DPr161ttPz53LpSUFMR9/DHi3nuv1faaBQuAuDjEvfce4poDSZ/tS5cCAPRvvw3dF1/4bFO0WhxfuBAAEP/mm9CenF1LSkLtc88BAAyrV0Oza5fPdldGBuqaA+/+n7+D7LJfofxX493uPOss1P/5zwCAxOXLoSorg9LiDePo2xcNzVnDpMWLoaqq8jm+fdAgNDbPE5W8YAHEujqf7bbhw9E0dSoAIGXePAgnrdBrHT0a5ltuAYC2r60QXHt9xozB+EwbCv7xImo3qJEUd6JGqSPXXsKLL7bazmvPfe0lrFwJ9c8/+2w/+dqTDvnOMu259hRFgX3+fGSddG1Fy7WXarUCQf7ci6Vrb0dGBpTcXO+1VzlvHq556y3sbc7IACeuvZqamqBee0AUfu5dd12r/QE/AxyLxdKqNsbpdEKS/OvhysrKgsvlQnl5ObKysgAABw8ebFVg3BZZllHRRqpv8+bNGN9OWqqr8ZSXsI+2Nad84vUhX5f0M6BRI6KywQmtJECnZoF6uAzZvRt7rFbgv/8F1qxpd7+z9+/Hv1tMwkqxwfv3P2lksva///W53e/66/H5unWhbFrnKYr7nyC4/4WBX6uJP//88+jZsyeuvfZa3HbbbXjllVewceNGlJaWYsaMGX6d6IUXXgAA3H333d5RVE8//XSrIGfLli04++yzkZaWBpPJhEWLFiEhIcGnDuenn37C008/jaVLlyIuLs57/y+//IL4+HhkZmaiqakJy5cvR319PZ544onTtq+ijT6/aHH4uB1PvV+Je8akYWguZ6pt6dGNZehl1OKOC9La3Sc1NbXLzulUb3Fh9geVUKuAP4/LhF7DICcS/LR/P+585BFsevPNcDelU7ryeypgFMVdByNJ7m41hwOqigrIKSlQDAYIFgukvXvh7NHDXZdUVwfN9u1wnHMO5PR0iNXV0P3737COGQM5KwuqI0cQ9847sIwfD1dODqT9+6FfuxZNt97qvr17NwyrVqFhxgy4cnKg+eYbGJYuRd3//R9c2dnQbtkCw8KFOL5gAeSsLOg+/hgJ8+fj2KpVkDMyEPf220iYNw+md96BnJYG/euvI/H551H52WdQ/KiDPROZzbVLJ/MrBTNlyhTMnTsXn376KaxWK2bMmAG9Xo8//elPfjfgjjvuwOLFizF16lQYDAZMnToVubm5MJlMmDlzJubPnw+j0YgjR45g9erVaGpqQnx8PIYMGYLJkyf7HGvTpk0477zzfIIbAKisrMSaNWtQX1+PuLg4DB482O8A7OSiJTk9Ha7sbHfBU1tFwt26uYvpHA6o2yqWy86GnJ4OWK1Q//RT6+3du7uL6cxmSL/80mq786yz3BdtYyOk/ftbb+/RA0pSEoS6OiT/uA8FZTUw/JAAdY37NXH27u1+Exw/3ioVCQDOPn2g6PXuYrwjR1ptd/TrB+h07mK8torp+vcH1Gp3MV4bo9wcAwe6i+3KyloX0wHeYjnV4cOtCzlF0Vsspzp4EOJJxXSKWg1n//7u7QcOQDy5mE6jgbN5ZF3q0YPobXZBbUg4sT0uDs6+fQEA0s8/Q1CroW5xDMVggLO5q1P68UcIJxfTJSbC1bOne/uePe7+5pbbk5PhyssD0Fysd1JftJya6i6mQ+vrDgjttZf2yy+YlebA618fxyc1v+DaIUmQ8/L8vvakNgo1ee25rz1p/34IjY2+20++9k7qum957Qk2W+vPpWi69toqQg7g515Irj1ZdhfLqtUA3H9fOTkZEASoKiuh/vZb92uWmwsoCtQ//ADHwIGQMzIgVlRAv24dHAMHuq8pux3xa9fCcsUVcPbpA9WRI0h89llYLr8c9pEjIdTXI/mJJ9DwwAOwn3MOpH37kPI//4PGKVNgGz0aYnU1Uv70J9Q+8wwc/fpBvXs3kp94AvXTpsExbBjEo0eR8vjjOP63v8HVvTvU332HxGefBRwOOAYNgvTrr4hfuRL2886D0NQEzbffQvvxx7D37w/RZIJUWgrVgQMQrFZIP/7ovn4bGiDt3g2xuhpCfT1cZ50FSJL72qurg6NfP0g//wylvBxyfDwsEydC0Wig3rULSlwcmq65xl0srtUG99o7kwAnJSUFxcXF2L9/P6qrq5GWlob8/HzvBET+MBgM+J//+Z9W9xuNRp+5bW644QbccMMNpzzWnXfe2eb9o0ePbnPyQH/Iqam+t9PT3S+mywW5jQ9Z73a7HXIbXWje7RYL5DY+ZOWMDO9oAvnYsVbblYwM72gC+fjxNh+vpKRA0GohVdYAqIEtTg85NcW9vVs392gCtRrySR+y3u3x8YBK1aqa3rMdzQGk0EYxuNytG6DRuAvC2ph8Ss7MdB/b4WhVTe/d3s6xoVKd2N7UBJx8nWk03u1iQwPkk7tKdTrImZlQFAVWpwxtot7n76vo9d7Hy8eOuY/X4hhKYqJ3u1JdDaWN0QTe7ZWVJwoHPc8tNfXE8cvK2hxN4N3eRmFhqK+97FTgIqcGn35bif9UKjhvuP/XnnzSFzzAa8/7t62rg6DR+Gw++dpraySLnJkJua7O3ZaTPpei5tqLj2/VdiCwn3ttXXtwuSDY7e7jNDZCvXOne3RS8+gh7SefQOnWDbYLLoBgNsOwdClc3brB0lzukDJzJuzDhqHp9tshWK1IveUW2M8/H4133w0ASLv5Zpivvx6Nd90FweGAYelSWK+4Ak3NQXPC3/+OxmnTYL7xRsDphPaLLyBnZ8OWmurNwEClcr8Gdrv7S9tohJyaCsFggPnaa+EoLISclgaX1YqmW2+F/ZxzIKemQklIwPEXXoB9xAgINhuc/fqh7skn4czLg5ycDDk1FVWffgpX9+5QHT0K+9ChOPbaa5D1ekClgq17d5Q3D8qRdu+G7YILYLvgAu9LZ+vRA0133QXAHRzbzj8ftvPPP/HS9uoF8+23u7d//z3sI0fC3mIOOmd+PizNNTZiQwPsycmwDxvW+tpAcK69tvjVRQW4a25++eUXHD9+HOeff753BNTpCoWjhb8F05HIbHVi5os7MHFsLorOzQx3cyKG1e7CjIXf4toLu+Oy87La3c9oNMJkMoWwZZFHURSseP9XfPNTDWZc1xdn53ESwHD66aefcPfdd+Ozzz4Ld1M6xd/3lGCxQKivdwetADT/+Q/EqipYmwOO+OXLIVZVoeHRRwEAiX/+M8SaGtQuXgwASJ08GYLNhmNvveU+7/jxULRaHGuuUzFeeSXklBTUNBcUp196KZxnnYXjy5e7H3/rrXD26XOi+Pbxx+Hs08dbDBu/fDmcvXvDdtFFAADtp5/ClZMDZ0EBAHcWTTYaITcPdhFqa6Ho9e4AnEKm5RQ0LfmVwTl06BDmzp0LtVqNY8eO4fzzz8eePXuwadMmzJw5M6ANpY7Teif64+yWLZ1YSZyzGJ+OIAi4+dIeOFrdPAngTf2RykkAqYPEmhqIZWXA2LEAAM0XX0Dz3XdonD4dABD/j39A99lnOLZ2LQAg6dFHofniC1Q1j1bTv/46NNu3ewMcaf9+n64k2Wj0dhcBgGX8eJ8hw/UPPeSuWWl2fNEiKC2CjeoPPnAP425Ws2qVT/vrZ8/2ud10xx0+t20XX+xz29Nd6aEkJ5/8klAY+dXHtGzZMkyaNAkvvPCCd+RU//79sbeNiZgo9FQqEaIowMYAx4c3wOEyDX7RqlW4+6p8OF0yXnp3PxxOXk/hcHTRKqivmgDp55+h6T8ERxetOv2DAskz+gWAWFEB7b//7Z2/RPOf/yDpkUeA5iHA+ldfRbdzz/Vuj3/5ZaRffrm3a0z7xRdIeP557/EUvR5yi4JT88SJaGhRy1n/xBMwvf++93ZdcTFqWpQwND7wAOpbDBqxTJrk7g5qZh8zBvaW3So9e7onh/PoQkv4kJ8BzpEjR3DhhRf63KfT6WA/qf+XwkerFmHnF5IPi839yy5Oy+Ur/NUtVYdbL++J0oomvPl56yJNCq6ji1Zh0HNPIqXRXfxsrKvCoOee7HyQoyjuGW2bP6vFigrEvfmmt7ha/e23SJk6FeLRowAA3caNyOrZE6rmAl3dZ58h7eabvXOiSKWl0L3/vre42tW9O6wXXeSthbJcdRVqXn7ZG9A0zJyJ8n37vMOEzbfcguPLlnmbZz//fFhaLIbsqUchCgS/Apz09HT8etK01/v27UNmJus9IoVGEtlFdRKuJN45Q/uk4tJhmdj0fTW27enatUmh1nPxfOicvhOk6Zw29Fz8gvuGw+Ee6dI8yZpoMiH+H/+AqnnEkfTzz0i77jqom+dP0Wzdiqyzz4bmm28AAOqff0bKAw94RzAJFgukffsgNjQAcBeKNt55J5TmIm/rxRejeuNGuJrnQTPfcAMqd+50j5QCYPvtb1E3b567aByAs29f2C699EQ3kVbLrAmFjV8/bSdNmoQ5c+bgkksugdPpxNtvv41PPvkEdzVXXFP4adSie7FN8vKsJB7HAKfDrr6wO0orm/DPTw6ie7oe3dM5v1IguWQFlcetOFJlxpGqJpRXNeJQjR2r6lqPegOA1LoqVABQHTmCbqNH4/iCBbBMmACxthZJs2dD7tYNlt69oTTXpwjNw8Od+fmoe/xx9/BeAPZhw1D5xRfu4bgA7BdcgOoWhczOAQPQ0DziCGge9dRitniiaOL3KKpff/0V//73v73DxIuKitCrV69gty9konkUFQDMfvUHGJO0uGd8n3A3JWJs+r4Kr5ccxLN3nYMkQ/ujGjiKqm31TQ4888/dUEsiHr2xP/Q6dvV1RmOjDRVHalDaJOBolRkD3nwZ3xty8XXeUEhOB9Ysvgn9tHE41FR72mP169MH/7n3XtjPO889343LBaGpCUpCQthmi20L31MUSmc0igoAevXqFVMBTaxRSyKLjE9iYQbnjCTGq3Hn73pj3rqfsPLDA7h7fD7ECPoSDZeji1ah5+IXkFpXjZqkdJTeOR05t1wDZ3IKqo5boVv0IspVBnza/7c4Um3Ggudvwv7e5+HNonuQoJdw39a3kXvh5Rgw7jp0T9fDhrvw3wsugH30aHcNzrP/B53rRH1j/V+LUWpIh/G6cQAAn6kBVaqgzxJLFK38CnCcTifeeustbN26FcePH0dKSgrOP/98XHvttdBwvH9E0KpVrME5icXuhEoUoJa4/EBn9c5JwMTf5GLtZ4ew/L19OFBuRk2DHakJGlx9YQ5GnG08/UFigcsFqFQ4umgVCuf+BWrZXcBurKtC6nNP4NBrK/HgLfPhcCr428Z3oUrrjuO5o9EvNxE/T74Dmf1649mrCpEUr0b9lG/RTatFt+ZDN7UYRZQz/VbsAnwCKEvRZcjq0d271pyiKHC1MYEhEfnyK8BZtmwZysrKcNtttyE9PR3V1dXYsGEDli9fjmnTpgW7jeQHjSSiyeLfEvJdhdnmQpxWBYFZhzNy0ZAMfL33GP77c633vpoGO/758UEAiLkgR9q9G9KBA7D+7neQFQVx02dA2r0Hrz+zEte9ON8b3HiIUJBcZ8JvzslA93Q9am78F3oZ9fiLJ7C+4gHfE2hPPb9QzvRbYZ9+KzxztapFEbIsQxRFONqYuZmI2uZXgLN9+3YsXLgQ8c2V8t27d0efPn1wH1e1jRgcJt6axebiCKoAEAQBtY2tp4SwO2Vs2HI0+gIcux3SoUNw5ucDAOLWroX+7bdR9tpqHK22IGPhCuR98i6erOuJo8esGGk7C2mZ8fjwq3LcVd92XUmipQETx54VlObKsgxJkuBwOKBWq+F0OuFn6SRRl+ZXgJOcnAybzeYNcADAbrcjJSUlaA2jjuEoqtYsNhd0DHAC4nhD25mDmgY7Vn74K3pmGtAjKx45xjhIqsjpEjy6aBXyFz6H5MbjOJaYjgP3zkRfNCCpuBgl729DqUUF43eV6Hu0AX95/j+wqbVIy7wEcbdfhjiViPMHGtH9oluRm6HH39PiULM8Hca6qlbnqUlKD+rzUBQFgiDA4XBAkiS4XC4GOUSn4VeAM2bMGPz1r3/F5ZdfjrS0NBw7dgwfffQRxowZgx9arPo5cODAoDWUTk0tibAxg+PD0txFRWcuNUGDmobWWRy1JOCHX+vwn93uhRMllYDcDD16ZhnQMzMePTLjkZ6sDX43oc3mHkWk0UD9zTdIeuIJ7B12EQatXOydV8ZYXw3Dc09i7QV/QPW4mdj2QSlsah2Mvcei+8hxuDRD3zwkfjDSEjVttvnAtAdgeO5Jn7lqrJIWB6Y9gJxWewdOy5obp9PJIIfID34FOJ988gkA4O233251v2ebIAhYtGhRgJtH/tKqOdHfySw2F7rFx8ZisOF29YU5+OfHB326QTWSiJsuzcN5BWmoabDjQHkTSssbcaCiCV/srMa/v60EAMTrVOiRaUCPzHj0zHIHPQn6E+sJnTwq6cC0B5Az/db2G+NwADu+R40hDdWGNMjf7cTY+27Eu/f9Fd/2HQHd/mpcXSuj++uvtDlp3rgd7+OT1z/C/Rl65Bj1HQqC2yoCPm17g8DpZL0d0en4FeC8+OKLwW4HnSGNWoTTpUCWFYgii2oBwGxzch2qAPHU2WzYcrTNUVRpiVqkJWoxrJ97mn2XrKDMZEFpRRNKKxpRWtGE97+q88zgD2OSFj0y4zHo609wxapnT2RZ6qpgeO5JfGl2wnbddahttKO+tgm93n0T+409sCOzP+TKKiz7+814/ze3YeO546F1KKgZMh7/qdej8ZgFyd17YcPjL+KR28e0+VyM9SZcNKRbm9v8cXIRcDAzN0TUeZ2aueuHH36ASqXC2WefHej2UCdp1e4vcrtTho5f6gCau6i4knjAjDjb6HdBsUp0d1XlZuhx4WB3fYrV7sKhKjNKy90Bz69ljbhn3T/azLKMWvxXrP7uADaeOx4CFKz5f8uhOu9yHL1hCJJze+PjR19AVuFgzMzNQrJBjeQHz8cFJ133NUnhqZchosjgV4DzxBNP4IYbbkBBQQE2bNiAf/3rXxBFEZdddhmuvfbaYLeR/KBpHpJqczDAAdwZBJtDZgYngug0KvTtnoC+3RPcd9hsMD7Z9qgkncOKy/rEYdSd5yAxXo3627ahICUFBZ66mIvzTnu+cNXLEFFk8Gu4w+HDh9G3b18AwKeffoonnngCzzzzjLf+hsJPo3b/KTmSys1qa15okxmciCGYzd7/T/rf/0X6FVe0m005lpQB1ZOPISVBA5UoQElN7fBSBDnTb8Wuh5+AKSkDMgSYkjKw6+EnQl4vEwyfffYZLrzwQlxwwQVt1j5+9NFHKCoqwiWXXIJx48bh66+/BgAcO3YMV199NX7729/iww8/9O5/2223oaKiotVxiKKZXxkcT6W+5w3QvXt3AEBTU1OQmkUd5Q1wOJIKgLv+BgDiNFw/KVyE2looSUmAIMCwaBEMCxag4ocfAK0WtlGj4MrKwgEhEYZ5TwUtyxKL9TIulwuPPfYY1qxZg6ysLFxxxRW49NJLvT9CAWD06NG49NJLIQgC9uzZg7vvvhubN2/Ghg0bMHHiRIwfPx433ngjLr/8cnz88ccYNGgQMjMzw/isiALPr0//fv364eWXX8bx48cxfPhwAO5gJyEhIaiNI/95uqg4ksrNYuM6VKEm1NVB0ekArRa6jRuRcu+9qPriC7h69IB9xAg03nsvBIcDilYL61VXAXAHHLsEIeyjkqLJjh070KNHD+Tlubvpxo8fj48++sgnwGk5Z5nZbPYOeZckCVarFXa7HaIowul0Yvny5Vi1alVonwRRCPjVRXXvvfdCr9cjLy8P119/PQD36ttXXHFFUBtH/tOqGeC0ZLE3d1ExwAkaoa4OQl0dAED93/8ic8AAaL/4AgDgKCxEw0MPQYmLAwDYhw9H4wMPQDEYWh0nZ/qtsO/ZgYqjR2Dfs4PBzWlUVFT4rJ6clZXVZvfSBx98gDFjxuDWW2/F888/DwC45ppr8Pnnn+PGG2/Egw8+iFWrVmHChAmIa/47EcUSvzI4CQkJmDx5ss99Q4cODUqDqHM8XVRcUdyNK4kHgcUCsaEBckYGRJMJ3YYMQf3jj6Ppzjvh6N8fDQ8+CGevXgAAV14eGmfODHODY1Nbk/u1NSnhuHHjMG7cOGzbtg3PPfcc1q5di8TERLz22msAgNraWixevBjLly/Hww8/jNraWtx1110YNmxY0J8DUShEzpzqdEY0LYaJ04kMDgOcM+T5MnW50O2CC5DQnAmQjUbU//nPsI0e7d4eF4fGBx+Eq2fPMDW068jKykJZWZn3dnl5Obp1a39en5EjR+LgwYOoqanxuX/+/Pm4//77sWHDBgwaNAh/+9vfMGfOnKC1myjUGODEiBPDxDmKCmhRZKxlkXFnJT75JFJvbe4uUqnQ8NBDsLSYFqLprrvg7N8/TK3rugoLC3HgwAEcOnQIdrsdGzduxKWXXuqzz4EDB7yZnl27dsHhcPisHfjrr7+isrISo0aNgsVigSiKEAQBNpvvnERE0Yyf/jGCNTi+WGTccZqtW6Ffvx61f/sbIAhwZWcDLpc7iyMIMN94Y7ibSHAXCj/99NOYPHkyZFnGpEmT0K9fP7z66qsAgFtuuQXvv/8+1q9fD0mSoNPpsGTJEp9urLlz5+JPf/oTAODqq6/GlClTsGLFCsyaNSssz4koGASlA6u1ybKMurq6mFxFvGXKNxrZHC7c//dvce2Y7rhseFa4mxN26z4/hC92VuPv95972n2NRiNMprYnnItlQm0t4v71L1h+9zsoSUmIe/NNJDz7LEwbN0JuUcRK1FFd9T1F4ZHdzueVXxmcpqYmLF++HNu2bYMkSXjttdfwzTffYN++ffjDH/4Q0IZS56g5TNyHlSuJt0msqAAkCbLRCGnfPiT/z/9ATkyE9fe/h+Waa2CZMKHDE+oREUUiv2pwli1bBr1ej8WLF0OS3DFR37598eWXXwa1ceQ/URCglriiuIeFAc4JzStPC3V16DZiBOJXrgQAOIYORdXHH8P6u9+595MkBjdEFDP8yuDs2rULL730kje4AYDExETUNc+BQZFBI4kcJt7MbHNxHSoAqTffDDkpCbWLFkFJSkLts8/C7hkGLIpwDhgQ3gYSEQWJXxkcvV6PhoYGn/tMJlNM1uJEM61a5DDxZhabE3pd16uhj3vzTSTff7/3tn3ECDhazFllmTQJrt69w9E0IqKQ8ivAufjii/H888/jhx9+gKIo+Pnnn/Hiiy/ikksuCXb7qAM0apGLbTazdJUMjqJAs20bILsDW/HYMUgHDwIWCwCgcfp0NE2ZEs4WEhGFhV8Bzvjx4zFq1CisWLECLpcLS5YswbBhw7hUQ4TRMIPjZbG5ENcFVhLXfvopjNddB90nnwBwz01j2rgR4NT7RNTF+ZXDFwQBV155Ja688spgt4fOgIZFxgDcU9nHbA2OLEP33nuAVgvrZZfBNnYsjs+fD+vYse7tLBImIgLQgYn+qqqqcOjQIVitVp/7R3umaqew06hFmK3sonI4FbhkJTZHUQkCDEuWQE5Ph/WyywBJgqV5AVwiIjrBrwDn7bffxvr165GbmwuNRuO9XxAEBjgRRKtWobbREe5mhN2JlcRjo8hY+8knSFiwAKY33wTi4lDzyiuQ09PD3Swioojm1zfAe++9h7lz56J79+7Bbg+dAXZRuVmsnnWoojeDIzQ1AQCU+HgoBgMgCFBVV8N11lmQMzPD3DoiosjnV5GxwWBAOn8xRjwtR1EBiP6VxIXjx5ExciTily4FANhHjoTpnXfgOuusMLeMiCh6+JXB+eMf/4iXXnoJV155JZKSkny2GY1Gv07U2NiIJUuWYOfOnUhISMDkyZPb7N7aunUr1q1bh9raWqjVahQWFmLKlCnQ6/UAgJtvvtlnf7vdjssuuwxTmofC7tq1CytWrIDJZEKfPn0wbdq0LhOcqdWc6A9wT/IHRFeAIx47BvWOHbAVFUFJSUHTHXfANmaMeyMLh4mIOsyvAMfpdGLnzp3YunVrq21r167160TLly+HJElYtmwZSktLUVxcjLy8POTm5vrs169fP8yePRuJiYmwWq1YunQp3njjDW8A89prr3n3tVqtmDp1KkaOHAkAqK+vx7x583D33Xfj3HPPxdq1a/HCCy/gmWee8auN0c4z0Z+iKD4rB3c1npXEo6kGJ6G4GHHvvIPKHTugxMejccaMcDeJiCiq+fUNsHz5ctxwww244IILfIqM/WW1WvHVV1/h+eefh06nQ0FBAYYNG4bNmzfjxhtv9Nn35IyQKIqorKxs87jbtm1DUlISzj77bADA119/jdzcXIwaNQoAMHHiRNx+++04evQocnJyOtzuaKORRCgK4HQpUEtdN8Ax2yK/BkesrETC/PlonDYNrrPOQuMDD6Dp7ruhxMeHu2lERDHBrwBHlmVcdNFFEEW/SnZaKS8vhyiKPkua5+XlYc+ePW3uv3fvXhQXF8NisUCr1WLWrFlt7rdp0yaMGTPGm604fPgw8vLyvNt1Oh0yMzNx+PDhVgFOSUkJSkpKAABz5szxu6stkqUkNwI4CkNiMhL0HQ9EY4Uo1QMAumdnIM6PLI4kSaH7+7tcgEoF2GxQb9wI7SWXQB46FIiB64/II6TvKaJ2+BXg/P73v8eGDRtwzTXXdKrrw2q1emtoPPR6fas5dTwKCgqwatUq1NTUoKSkpM0aGpPJhD179uCee+7xOU9iYqJf5ykqKkJRUZHP8aKd0+aenr+i0gRbQtcNcEw19RAEoLH+OJr8uF6NRmNI/v5Js2ZBbGrC8SVLAK0WwjffuDM2MXDtEbUUqvcUEQCf5ElLfgU4H3zwAWpra/H222/DYDD4bFuyZMlpH6/T6WBpXhvHw2KxQKfTnfJxqampKCwsxIIFCzB37lyfbZs2bUJBQQEyMjJOeR6z2Xza88QKjdqdYbN18ZFUFpsLcVpVRNQhSXv3wllQAABw5eVBtloBRQEEgd1RRERB5FeAc999953RSbKysuByuVBeXo6srCwAwMGDB1sVGLdFlmVUVFS0un/z5s0YP368z325ubnYtGmT97bVakVlZaVf54kFngCnq8+FY7G5IqLAOG7DBqTcey+q330XjqFD0XiG7yMiIvKfX0U1/fv3b/efP3Q6HUaMGIG1a9fCarVi79692L59O8Z4hsG2sGXLFphMJiiKgurqaqxZswaDBg3y2eenn35CTU2Nt5jY47zzzsOhQ4ewbds22O12rF+/Hnl5eV2iwBhwFxkDDHDMNmd41qFSFGg/+QTq7dsBANZLLkHdU095MzhERBQ6fv/MLS0txY8//oiGhgYoiuK9f9KkSX49/o477sDixYsxdepUGAwGTJ06Fbm5uTCZTJg5cybmz58Po9GII0eOYPXq1WhqakJ8fDyGDBmCyZMn+xxr06ZNOO+88xB30orJiYmJeOihh/Dyyy9j4cKF6NOnD2Z0oeG2Wk8Gp4uvKB62lcQdDiQ9+igc556L48OHQ4mPR9Ptt4e+HUREBEFpGa20o6SkBKtWrcLgwYPx3XffobCwEDt37sSwYcNiJoAoKysLdxPO2OEqM55+bTfuuSofhX1Swt2csHlq1Q8wJmkx7eo+fu1/JgWR2k8+gX7tWhxfuhQQRaj27YMrLw9Qqzt1PKJYwCJjCqX2ioz96qLauHEjHn30UTz88MPQaDR4+OGH8eCDD0Klitx5RroiTxeVjRkc6IOZwbFaAYd7UVOxsRHSwYMQq6oAAK78fAY3REQRwK8Ap76+3juZniAIkGUZQ4YMwX//+9+gNo46hkXGbmabK2g1OOLRo+h2/vmIe+stAIBl/HhUf/wxF8AkIoowfgU4qampqGr+hZqVlYVvvvkGP/74IyQp/CNV6AQOEwdkRYHN7vJrgj9/CXV1UDcH83J2NqyXXQZX797ujaLItaKIiCKQX98C48ePx9GjR5GRkYEJEybgb3/7G5xOJ2677bZgt486gEXGgM3ugoLALtOQPHMmNDt2oPKrrwCNBnXFxQE7NhERBYdfAc7YsWO9/z9kyBC88sorcDqdXWYCvWihEgWIQtfuogrESuJiVRUMS5eiYfp0KMnJaHjoIffkfJ1Yh42IiMKj3S4qWZbb/SeKIjQaDWS5636RRiJBEKBRq7p0gHNiJfEzCHCqqxG/bBm027YBAJwDBsA5cGBA2kdERKHRbgbnhhtu8OsAa9euDVhj6Mxp1GKX7qLqdAZHUSDt3g3nwIFwDhiAym++gdzGGmhERBQd2g1wFi1aFMp2UIBoJLFLFxlbvAFOx4qM419+GYlPPonqDz6Ac8AABjdERFGu3W+B9PR01NbWIjk5OYTNoTOlVYtdvIvKCaDjGRzz9ddDUang9HP5ESIiimynHCZ+8izF8+bNC2pj6MxpunyA438XlbR7N5JmzQKcTigJCTD/8Y8c8k1EFCNOGeCcvIrD7t27g9oYOnNdvQbHG+D4MdGfetcu6D77DDh8ONjNIiKiEDtlgCPw12zUcdfgdN0Ax2xzQS0JUEvtXNqKAtWRIwAAyx/+gKpNm4CePUPYQiIiCoVTVmK6XC788MMP3tuyLPvcBoCBHD4bUbRqFewOW7ibETYW26lnMU6YNw/xK1ei6tNPIWdmQjEYQtg6IiIKlVMGOElJSViyZIn3tsFg8LktCAJHW0UYjdTVu6icp+yeMk+cCCU+HnK3biFsFRERhdopA5wXX3wxVO2gAHEXGXftYeInryQu7dkD3aefovG+++Dq0QON06aFqXVERBQqfi22SdGjqxcZt7WSuP7//T/Er1wJoaYmTK0iIqJQY4ATYzSSCIdTgSwrp985BrlrcFSAokCorQUA1D/yCKo/+ghKamp4G0dERCHDACfGdPUVxS12d5Fx4l/+AuO110IwmwFJgmw0hrtpREQUQh2bz54inkbt7p6xO2To/JgLJtZYbE7EaVWwXnYZ5LQ0KHFx4W4SERGFATM4MaZLZ3B2/oARu7dAr1XBPno0Gh94gDMTExF1UQxwYoymeYK7rrjgZsLz83DLF68hXux6z52IiHwxwIkxGk8Gp6vMZqwogM09seGBJ+fikUnF0BrYLUVE1NUxwIkxmq7URaUoSH7wQaTcfTcgy2jUxaPGkHrKmYyJiKhr4DdBjPF0UXWJDI4gwD54MMS6OkAQOrSSOBERxTYGODFG22IUVaySdu+GYLfDMWQIzLfd5r3fE+DoGeAQEXV5DHBijKeLKmZXFJdlpDzwABRJgun9931GSZmZwSEiomYMcGJMzNbgKIr7nyiiZskSKAkJrYaAM4NDREQeLDKOMTE5TNzpRPKMGUh47jkAgCs/v83VwC02FwQA2i44wSEREfligBNjYnKYuEoFRaeDotOdcjeLzQmdVgWRk/sREXV57KKKMaIgQC0JMdFFJe3eDTklBXJ2Nurmzj3trMRtrSRORERdEzM4MUgjidGfwbFakXbzzUh+9FH3bT+yMt6VxImIqMtjBicGadSq6A9wdDocf/FFOHv18vsh7pXEGeAQEREzODFJI4nRWWRstSJ5xgzoNm4EANhHjWqzmLg9FisDHCIicmOAE4O0ajE6a3AEAarDhyEdOdKph1vsLui5TAMREYFdVDFJo46uGhzpp5/gOussKHFxOLZ2LaBWd+o4ZpuTGRwiIgLADE5M0kRRBkc8dgzGq65CwjPPuO/oZHCjKAqLjImIyIsZnBikkUTUNTrC3Qy/yGlpqPvrX2EbPfqMjmNzyFAULtNARERuIQtwGhsbsWTJEuzcuRMJCQmYPHkyRrfxpbZ161asW7cOtbW1UKvVKCwsxJQpU6DX6332Wb9+PUwmE5KTkzFt2jScffbZqKqqwvTp06HVar37jh8/HhMmTAjJc4wUGrUY2WtRWa1IevxxNN16K5wDB8Jy3XVnfMgTyzQwZiciohAGOMuXL4ckSVi2bBlKS0tRXFyMvLw85Obm+uzXr18/zJ49G4mJibBarVi6dCneeOMNTJkyBQCwc+dOrF69Gg888ADy8/NRW1vb6lwrV66EStV1f8lr1aqI7qISGxuh3bwZjv794Rw4MCDHNNucAJjBISIit5DU4FitVnz11VeYNGkSdDodCgoKMGzYMGzevLnVvkajEYmJiScaKIqorKz03l63bh0mTJiAvn37QhRFpKamIjU1NRRPI2q4J/qLvGHiqkOHAEWBbDSi+t//hvm22wJ2bAtXEiciohZCksEpLy+HKIrIzs723peXl4c9e/a0uf/evXtRXFwMi8UCrVaLWbNmAQBkWcb+/fsxbNgw3HfffXA4HBg+fDhuvvlmaDQa7+OnTZsGQRAwePBg3HTTTT4Bk0dJSQlKSkoAAHPmzIHRaAzkUw6r5KQa2J1VSEtLgxAp6zL99BPURUVwPfkk5PvuAwL8eh80uTNWWRlpMBqTO/RYSZJi6u9PFG58T1EkCEmAY7VafWpoAECv18Nqtba5f0FBAVatWoWamhqUlJQgPT0dAFBbWwuXy4Vt27bhqaeegkqlwnPPPYe33noLN9xwAxITE1FcXIwePXqgoaEBK1aswMKFC/HYY4+1OkdRURGKioq8t00mUwCfcXg5HVbIsoKKymqopQgZKJeaCsM998D8299CDsJrXVl9HABgtzTAZHJ26LFGozGm/v5E4cb3FIVSy+RJSyH59tPpdLBYLD73WSwW6E6zOnRqaioKCwuxYMECAPBmaS6//HKkpKQgMTERV155JXbs2OE9T+/evaFSqZCcnIzbb78d33//PcxmcxCeVeTSelYUD3cdjtWKxP/7P4hVVYAgoHHmzA7NTNwR3i4qHYuMiYgoRAFOVlYWXC4XysvLvfcdPHiwVYFxW2RZRkVFBQDAYDBEVrdLhNJI7jqUcE/2J5WWQr96NbSffx70c3mLjLmaOBERIYQZnBEjRmDt2rWwWq3Yu3cvtm/fjjFjxrTad8uWLTCZTFAUBdXV1VizZg0GDRrk3T527Fh8+OGHqKurQ2NjI95//30MHToUAPDLL7+grKwMsiyjoaEBr7zyCgYMGNCqeyzWaTwZnDAFOEJNDQDAWVCAqq1bYbn++qCf02JzQVIJUEsMfomIKITDxO+44w4sXrwYU6dOhcFgwNSpU5GbmwuTyYSZM2di/vz5MBqNOHLkCFavXo2mpibEx8djyJAhmDx5svc41113HRoaGjBjxgyo1WqMGjUK1157LQCgsrISa9asQX19PeLi4jB48GDMmDEjVE8xYmil8HVRqf/7X6RNnozjL74IW1ER5IyMkJzXYnMhTqNido+IiAAAgqIoSrgbEQnKysrC3YSA2VNahwVv/YyH/1CA/JyE0J7cYkHSE0+g4aGHglZv05bl7+3HwcomzL59cIcfy4JIosDie4pCKaxFxhRaIe+islphWLAAsNmAuDjUPftsSIMbwL2SOOfAISIiDwY4MUgjhTbA0f7nP0h47jlo25i4MVTMVifiuEwDERE14zdCDNKqm0dRBbsGx2IB4uJgu+giVH/+OZz5+cE936maYnch2aA5/Y5ERNQlMIMTg0LRRaX9+GN0O/98SHv3AkBYgxuguciYXVRERNSMAU4M8nRR2ZzBW4/K2bs3rBdfDDlC1gFjgENERC2xiyoGhSKD4+rdG3Xz5gXt+B3hcsmwOWQGOERE5MUMTgySVAIEAbAFIcDRr1yJpP/9X8BuD/ixO8tidz9PBjhEROTBACcGCYIArVoMSpGxqrISqqNHAbU64MfuLEvzMg16jqIiIqJm/EaIURpJDEoXVcOf/gS4XEAEzRjsXWiT61AREVEzZnBilEatCmiAo3v/fUg//eS+oYqsQOLESuKR1S4iIgofBjgxShPILiqHA4mzZyPxmWcCc7wAMzODQ0REJ2EXVYzSSCJsjgANE1erYXrvvYgqLG7Jk8HR63g5ExGRGzM4MUqrDkwNjqq0FFAUyGlpkLOyzrxhQWBuLjJmBoeIiDwY4MQoTQACHLG8HOmXXQbD/PkBalVweDI4Og4TJyKiZszpxyiNdOY1OHJGBhpmzYL1sssC1KrgsNhd0KpFqMTIGdlFREThxQAnRmnUqjOb6E9RAJUKTVOnBq5RQWKxcpkGIiLyxS6qGHUmNThiWRnSL70U6h07Atyq4LDYXZzkj4iIfDDAiVFn0kUlHj8ORRQhp6QEuFXBYbY5mcEhIiIf/NkbozRqEQ6nDFlRIHZw1mHngAEwffhhRM1WfCoWmwuJ+shZOoKIiMKPGZwY5VlR3NGBLI5YUQHD4sWA0xk1wQ3gDnCYwSEiopYY4MQojeT+03ak0DhuwwYkPP+8ezHNKMIAh4iITsYuqhilVbu/8DtSaNx0992wXnYZXHl5wWpWwCmKAovNBT0DHCIiaoEZnBjl6aLyJ8ARq6shVlYCAFw9ewa1XYHmcMpwyQriNIzViYjoBAY4MUrrCXCcp1+PKukvf0H6uHGAxRLsZgUcVxInIqK28GdvjPLU4PiTwamfNQvqH34A4uKC3ayA40riRETUFgY4McrTRXXKImOXC1Cp4OrdG67evUPUssA6sZI4AxwiIjqBXVQxyluD094wcUVByj33IPGJJ0LYqsBjBoeIiNrCDE6MOm0XlSzDlZMDV0ZGCFsVeBabEwAQp+OlTEREJ/BbIUaddpi4SoX6KM/eAC2KjJnBISKiFthFFaNO1OC0HkWVMG8epL17Q92koPAGOJwHh4iIWmAGJ0Z5u6hOqsERKyuhf/VVKBoNGgsKwtG0gLLYXRCFE8PiiYiIAAY4MUsUBUgqoVUXldytG6o//xxyQkKYWhZYZqt7mQYhitbOIiKi4OPP3himUYs+w8Q127YBigI5NRVQx8bq2xa7E3FaxulEROSLAU4M00qidzVxzZYtMF53HeI2bAhvowKMC20SEVFbGODEMI1a5c3g2M8/H8f/9jdYfve7MLcqsLjQJhERtYUBTgzTqEV3DY7NBqhUsEyaFDNdUx5mZnCIiKgNISteaGxsxJIlS7Bz504kJCRg8uTJGD16dKv9tm7dinXr1qG2thZqtRqFhYWYMmUK9Hq9zz7r16+HyWRCcnIypk2bhrPPPhsAsGvXLqxYsQImkwl9+vTBtGnTkJ6eHqqnGVE0koje321BxtylOPb663D16hXuJgUcu6iIiKgtIQtwli9fDkmSsGzZMpSWlqK4uBh5eXnIzc312a9fv36YPXs2EhMTYbVasXTpUrzxxhuYMmUKAGDnzp1YvXo1HnjgAeTn56O2ttb72Pr6esybNw933303zj33XKxduxYvvPACnnnmmVA9zYiiVYuo1SbCMWgQXN27h7s5QeEOcFhkTEREvkLSRWW1WvHVV19h0qRJ0Ol0KCgowLBhw7B58+ZW+xqNRiQmJp5ooCiisrLSe3vdunWYMGEC+vbtC1EUkZqaitTUVADA119/jdzcXIwaNQoajQYTJ05EaWkpjh49GvwnGYE0ahG/dC/A8WXLAI0m3M0JOFlWYLW7OIsxERG1EpKfvuXl5RBFEdnZ2d778vLysGfPnjb337t3L4qLi2GxWKDVajFr1iwAgCzL2L9/P4YNG4b77rsPDocDw4cPx8033wyNRoPDhw8jLy/PexydTofMzEwcPnwYOTk5PucoKSlBSUkJAGDOnDkwGo2BftphJXzwAS7590dYPeiqmHtuHk0WBwAgPS3xjJ6jJEkx+xoRhQPfUxQJQhLgWK1WnxoaANDr9bBarW3uX1BQgFWrVqGmpgYlJSXeGpra2lq4XC5s27YNTz31FFQqFZ577jm89dZbuOGGG2C1Wn2yP6c6T1FREYqKiry3TSbTmT7NiJL47rs4+z+fwdbnsph7bh6mOhsAQHZYz+g5Go3GmH2NiMKB7ykKpZbJk5ZC0kWl0+lgsVh87rNYLNDpdKd8XGpqKgoLC7FgwQIAgKa5m+Xyyy9HSkoKEhMTceWVV2LHjh3tnsdsNp/2PLGo/qmn8OZf/oEmJXa7b7zrUOli9zkSEVHnhCTAycrKgsvlQnl5ufe+gwcPtiowbossy6ioqAAAGAwGpKWltTstf25uLg4ePOi9bbVaUVlZ6dd5YoX6u+8gNr9eSE5qtRZVLLHYnACAOA2LjImIyFfIMjgjRozA2rVrYbVasXfvXmzfvh1jxoxpte+WLVtgMpmgKAqqq6uxZs0aDBo0yLt97Nix+PDDD1FXV4fGxka8//77GDp0KADgvPPOw6FDh7Bt2zbY7XasX78eeXl5repvYpYsI+W++5By990A3MPEZVmB0xWbQQ5XEiciovaE7KfvHXfcgcWLF2Pq1KkwGAyYOnUqcnNzYTKZMHPmTMyfPx9GoxFHjhzB6tWr0dTUhPj4eAwZMgSTJ0/2Hue6665DQ0MDZsyYAbVajVGjRuHaa68FACQmJuKhhx7Cyy+/jIULF6JPnz6YMWNGqJ5i+Ikijq1cCaG55kjTvMK23SFDUsXenI4WuzvA4UzGRER0MkFRFCXcjYgEZWVl4W7CGREaG6EYDD73bd5ZhdWfHMTcu85BsiH2hon/+9tKrP3sEObdU4gEfednaGZBJFFg8T1FoRTWImMKLqGxEelFRTAsXOhzv0Zy/3lbrigeSzwZHHZRERHRyRjgxABFpYJ13DjYRo70uV+rdn/x22M1wLE6oZbEmOx+IyKiM8PhJ7EgLg71TzzR6u4TNTiuULcoJCx2riRORERt40/fKCY0NSFl6lRIP/3U5nZtcxdVrA4V50riRETUHgY4UUzavx+a7dsh1tW1ud2TwYnZGhwGOERE1A52UUUxx+DBqPzPf4C4uDa3txwmHossNhf0nMWYiIjawAxOFBLMZug2bgQUpd3gBjgxiipWu6gsNq4kTkREbWOAE4X0//wnUqdNg9TOauwemlgfRWVzQq9jEpKIiFrjt0MUarr9djgGDIBzwIBT7qeN8S4qMzM4RETUDgY40cRigSDLUOLjYb/ggtPuLqkECABsztgbJu5wynC6FK4kTkREbWIXVRRJfPZZpBcVQWhs9Gt/QRCgUYsxmcHxLrTJDA4REbWBGZwoYrniCsgpKa3WnDqVmA9wOEyciIjawAAnijiGD4dj+PAOPUarVsXkKCqL3QkA0Gt5CRMRUWvsoooCCc8+C8Pf/+4eFt5BGik2MzhmKzM4RETUPv78jXSKAtXBg1Di4wFB6PDDNWoxJmcy9qwkzrWoiIioLQxwIp0goPbFFwGns1MP16jF2OyiYgaHiIhOgV1UESzurbcgVlS4b0idi0U1kghbDK4m7sngxLEGh4iI2sAAJ0IJNTVIevRRJCxceEbH0apFOGKwi8psc0IAoNXwEiYiotb48zdCKampqP7gA8hG4xkdJ2ZrcJpXEhc7UZdERESxjz9/I5Dq8GEAgKtXLyiJiWd0LI0Uo8PEmwMcIiKitjDAiTDSDz8gY/RoxL35ZkCOF8sT/THAISKi9jDAiTCu3r3ReN99sF5ySUCOp5Hco6jkTsyhE8ncAQ57WImIqG0McCKJokCJi0PDrFlQkpMDckjPiuLOGOumMtucXIeKiIjaxQAnQkg//ADjVVdBVVoa0ONqmgOcWCs0tthc0HMlcSIiagcDnAihqqmBYLFATkoK6HE9AU6sFRpbbC7omMEhIqJ2sIghQtjGjEH1J590ajmGU9FIsZfBkRUFFjszOERE1D5mcMJM+vFHxK1b515IMwhzumjV7iAglkZS2ewyFAWswSEionYxwAmz+FdfReIzz0Corw/K8WOxi8pic6/LxVFURETUHgY4YVb3zDMwvf02lADX3nh4uqjsMbQeFVcSJyKi02GAEyaqI0cgNDYCoghXr15BO49nmHgsdVFxJXEiIjod5vjDQVGQcs89gMsF07/+FZTaG49YHCZ+YiVxBjhERNQ2BjjhIAio+8tfINbXBzW4AQCNp8g4hmpwzDYGOEREdGoMcEJNlgFRhGP48JCc7kQNTuwEOBabpwaHly8REbWNNTih5HIhbeJExK9YEbJTamKwBsfsHUXFDA4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CCy8MnmPJkiWYzeEfORMOKjIOXf06VJHI4ECg0Pidj0rYU+ogr0dyRNogItJZheU3v9Pp5MMPP2TixInY7XYGDhzI8OHDWbNmTaNjs7KySEtL+7aBhkFJSUnw8f79+xk1ahQ2m4309HTy8/PZs2dPOG4jKtRncPx+f6SbEvUcEc/gBIIadVOJiIRfWH7zFxcXYxgGOTk5wW15eXls3ry5yeO3bNnCnDlzcDgcJCQkMGvWrOC+cePG8cEHH3DSSSdRXV3Nxx9/zMSJExs8f9q0aZhMJoYOHco111zTIGCqV1hYSGFhIQBz584lKyurPW61w2V0OYzfX0x6RiZWS3xmqdrL9gOBACe7eyZZWelYLJawvs5du/rJTNvK3oO1MfP+ks4r3J8PkY4WlgDH6XQGa2jqJSUl4XQ6mzx+4MCBLF26lLKyMgoLC+nWrVtw3+DBg3nnnXe4/vrr8fl8nHXWWZx22mkApKWlMWfOHHr37k1lZSWLFy9m3rx53H333Y2uMXbsWMaOHRt8XFpa2h632uHcLgcARfsOkGyPTGYiVpQcOASAy1FFaamHrKyssL/OvXsk8cWOsph5f0nnFYnPh0h7ODJ5cqSwdFHZ7XYcDkeDbQ6HA7vdftTnZWZmkp+fz2OPPQaAz+fjd7/7HSNGjODZZ59l8eLFVFdXs2zZsuB1+vXrh9lsJj09nZtuuolPPvmEmpr4WfTQZg28ZLUqND4mZ90oqsQwL9VwpD7ZyZQedlFRUxuxNoiIdEZhCXCys7Pxer0UFxcHt+3cubNRgXFTfD4f+/btAwIjsQ4ePMgFF1yA1WolNTWVs88+m40bN3ZY26ONzRJ4yVRofGwOlwcAewSWaqjXN6du4U3V4YiIhFXYMjgjRoxgxYoVOJ1OtmzZwoYNGxgzZkyjY9euXUtpaSl+v58DBw6wfPlyhgwZAgS6oLp3785bb72F1+ulurqa1atXk5eXB8BXX31FUVERPp+PyspKnnnmGU466aRG3WOxrD6Do6Hix+Z0ezEbJqwWU8TacHz3ZAxDE/6JiIRb2Io4pkyZwvz585k6dSopKSlMnTqV3NxcSktLmTlzJo888ghZWVns2bOHZcuWUV1dTXJyMgUFBUyaNCl4nlmzZrFkyRJefvllDMPgpJNO4vrrrwegpKSE5cuXU1FRQWJiIkOHDmXGjBnhusWwsNUVFiuDc2wOlxe7zYzJFLkAx2Y1OL57EtuKtGSDiEg4mfwabwxAUVFRpJsQki/3VPLHFVuYefkABh7feHSYfGvx69+wraia300ZCkSuiHLFuzt5/9NSHr39VMxG5IItkaNRkbHEqogWGUv7sdV1tyiDc2yBhTYjP5S+T3YKbo+PvQfip9hdRCTaKcCJMfVdVBpFdWxOty+iI6jq1Rcaa2VxEZHwUYATY1RkHDqHyxPREVT1uqbZSEu2sl2FxiIiYaMAJ8ZomHjoHC5vVGRwTCYTfbOTtWSDiEgYKcCJMcrghM7pjo4ABwIri+8vd1GlCf9ERMJCAU6MsSqDExK/3x8cJh4N+qgOR0QkrBTgxBizYcJiNuH2eCPdlKhW6/Hh80d2mYYj9e6RpAn/RETCSAFODLJaDGVwjsHhCgSA0TBMHMBmNXNct0QFOCIiYaIAJwbZLAZuj+ZnPBqHuy7AiZIMDgTqcHYUV+Pz6bUTEeloCnBikM1qqIvqGOozONFSgwOB+XBctT6KDjoi3RQRkbinACcG2dRFdUzOqMzgJANouLiISBgowIlBgQyOApyjicYMTlaXBFITLarDEREJAwU4MUgZnGMLFhlHUQbHZDLRNydFK4uLiISBApwYZLUog3Ms0VhkDNAnO5mSQ06qHZ5IN0VEJK4pwIlBNquhxTaPIRq7qODIhTfVTSUi0pEU4MQgdVEdm9PtJcFqYDZMkW5KA717JmMywXbNaCwi0qEU4MQgFRkfWzQt03CkBKuZ47KSNJJKRKSDKcCJQcrgHFs0LbT5XX1zktm+r0oT/omIdCAFODGoPoPj9+sLsjnRmsEB6JOdgtPto7hME/6JiHQUBTgxyGox8PvB41WA0xxHVGdw6gqNNVxcRKTDKMCJQTZL4GXTSKrmOV3eqFlo87u6pyeQbLewXSOpREQ6jAKcGGSzBl42FRo3L5ozOIEJ/5JVaCwi0oEU4MSg+gyOCo2b53B5sUdpgAOBlcWLy5xUOzXhn4hIR1CAE4OUwTk6n8+Pq9YXtV1U8G0dzo59qsMREekICnBikM0S+OJWBqdp0biS+HfVT/inbioRkY6hACcG2SyB2XmVwWla/TpU0TpMHAJt65WVqCUbREQ6iAKcGFTfRaVRVE1zRuFK4k3pk53C9uJqfJrPSESk3SnAiUHqojq6+oU2o7kGBwKFxg6Xl31lzkg3RUQk7ijAiUEqMj46RwzU4EBgyQaA7arDERFpdwpwYpCGiR9dfQYnmmtwALpn2Emym1WHIyLSARTgxCBlcI4uVjI4hslE3+wUthVrqLiISHtTgBODrMrgHFWsFBkD9MlOprjUgcOlCf9ERNqTApwYZDZMmA2TMjjNcLi9GKZvu/KiWd/sFPzAdmVxRETaVfR/A0iTbFZDAU4z6pdpMJlMkW7KMfXJTsaEAhwRkfamACdG2SyGuqia4XRH70ri35WYYCG7qyb8ExFpbwpwYlQgg+ONdDOiksMVvSuJN6VvTjLbiqs04Z+ISDuyhOtCVVVVLFiwgE2bNpGamsqkSZMYPXp0o+PWrVvHypUrKS8vx2q1kp+fz+TJk0lKSgJg//79LF68mC+//BKLxcLIkSO54YYbMJsDX2iffvopixcvprS0lP79+zNt2jS6desWrtsMG2Vwmudwe6N+iPiR+man8P6npew/5KRnZmKkmyMiEhfClsFZtGgRFouFhQsXcscdd7Bw4UJ2797d6LgBAwYwe/Zsli5dyuOPP47P5+OFF14I7l+8eDFpaWk8+eSTPPjgg2zevJk333wTgIqKCh566CEmTpzI008/Td++fXn00UfDdYthZbWoBqc5zhjL4PSpW1l8W5HqcERE2ktYAhyn08mHH37IxIkTsdvtDBw4kOHDh7NmzZpGx2ZlZZGWlvZtAw2DkpKS4OP9+/czatQobDYb6enp5Ofns2fPHgD+85//kJubG9x/+eWXs2PHDvbu3dvxNxlmNqtBrUddGk2JtQxOz0w7iQlmtqsOR0Sk3YSli6q4uBjDMMjJyQluy8vLY/PmzU0ev2XLFubMmYPD4SAhIYFZs2YF940bN44PPviAk046ierqaj7++GMmTpwIwO7du8nLywsea7fb6dmzJ7t376ZXr14NrlFYWEhhYSEAc+fOJSsrq93uNxxSkuwcrnLHXLvDwVXrI6NLcqOfjcViidqf14nHZ7BzvzNq2yfxL5o/HyKtEZYAx+l0Bmto6iUlJeF0Nr3I4MCBA1m6dCllZWUUFhY2qKEZPHgw77zzDtdffz0+n4+zzjqL0047LXidI7M/R7vO2LFjGTt2bPBxaWlpq+8vIvweapyu2Gt3GNQ4PZh8tY1+NllZWVH788rNsrHp61L2FJXEVPZJ4kc0fz5EjubI5MmRQuqi8ng87Nq1iy1btrBr1y48npbNumq323E4HA22ORwO7Hb7UZ+XmZlJfn4+jz32GAA+n4/f/e53jBgxgmeffZbFixdTXV3NsmXLmr1OTU3NMa8Ti1Rk3LRajw+P1489hmpwAPrmpOD3w459qsMREWkPR83gfPTRR7z11lt89tlnmM1mEhMTcTgceL1eTj75ZM4991yGDRt2zItkZ2fj9XopLi4mOzsbgJ07d5Kbm3vM5/p8Pvbt2wcERmIdPHiQCy64AKvVitVq5eyzz2bFihVcc8015Obmsnr16uBznU4nJSUlIV0n1miiv6YF16GKsSxI756BlcW3FVUx8Pi0YxwtIiLH0myAc88995CcnMzo0aO5+eabyczMDO47dOgQn3/+OW+//TYvvfQSs2fPPupF7HY7I0aMYMWKFdxyyy3s2LGDDRs2cP/99zc6du3atQwaNIiuXbtSWlrK8uXLGTJkCABpaWl0796dt956i4svvhin08nq1auDdTenn346zz77LOvXr+fUU09l1apV5OXlNaq/iQdWZXCa5IihdaiOlGy3kJ1p14R/IiLtpNkAZ+rUqRx//PFN7svIyGD06NGMHj2aXbt2hXShKVOmMH/+fKZOnUpKSgpTp04lNzeX0tJSZs6cySOPPEJWVhZ79uxh2bJlVFdXk5ycTEFBAZMmTQqeZ9asWSxZsoSXX34ZwzA46aSTuP7664FAAHTnnXfy9NNPM2/ePPr378+MGTNa8vOIGTaLQa3Hh9/vj4klCcLFGaMZHAh0U338dbleUxGRdmDy+zV9KkBRUVGkm9Air39YxMvv7+WJnwzDYtaE1PW27Krgkb9u5adXDGBAbsOunmgvoly76QDPvb2D+yYPoUdG/NWNSXSL9s+HSHPaVGT86quvsmPHDgC+/PJLbr31VqZPn87WrVvbrYHSMvUrZaubqiGnK5YzOIE6HM2HIyLSdiEFOK+99hrdu3cHYPny5fy///f/uPTSS1m6dGmHNk6aZ7PWBTgqNG4gWGQcYzU4ANmZidhtBtuKFOCIiLRVSAFOTU0NSUlJOBwOduzYwbhx4/jBD34Qc9068UQZnKY5YjiDYxgm+vRM0ZINIiLtIKQAp2vXrmzdupV169YxaNAgDMOgpqYGw1DtR6QEAxxlcBqoz+DE2jw49frmpLCntAZXrVaKFxFpi5BmMr7mmmt4+OGHsVgs3HnnnUBgjpwTTjihQxsnzavvoqpVgNOAw+XFajHFbOF1n+zk4IR/3y2SFhGR0B01wNm3bx89e/bk1FNP5cknn2ywb+TIkYwcObJDGyfNUxdV05xub0x2T9Xrmx1YWXx7kQIcEZG2OGqAM2fOHAAKCgo49dRTGTx4MBZL4Cn1/5fIUJFx0xwub8x2TwEkJ1rokaEJ/0RE2uqoUcpjjz1GSUkJH330Ea+++iqPPfYYAwYM4NRTT6WgoICuXbuGq53yHTZL4EtcGZyGYj2DA4Hh4p9tO6wJ/0RE2uCYaZgePXowbtw4xo0bh9vt5tNPP2Xjxo28+OKLJCYmUlBQwPe///1mJ9qRjqEMTtNiPYMDgW6qf39+kNLDLrqla8I/EZHWaFE/k81mY9iwYcEFNnfv3s3GjRvZtWuXApwws6oGp0kOt5fuSQmRbkab9Kmrw9lWXK0AR0SklUIOcFwuF/v27cPpdDbY/sMf/rDdGyXHpmHiTXO4vDE5yd+RemUlkmANTPg3YpC6gUVEWiOkAGf16tU8/fTTWCwWbDZbg30LFizokIbJ0dksgdoMBTgNxUMNjmGY6J2drEJjEZE2CCnAee6557jzzjsZOnRoR7dHQmQ2G5gNk7qojuDz+3HGQQ0OBOpw3tywD3etF5s19u9HRCTcQpoNzWKxMHjw4I5ui7SQzWoog3MEl9uHn9hcpuG7+man4PP52VlSE+mmiIjEpJACnIkTJ/KXv/yFioqKjm6PtIDNYiiDcwRncKHN2J+jqU92YGVxLbwpItI6IX0T5OTksHLlSt58881G+1asWNHujZLQWC0Gbo/WLKpXv9Cm3RabyzQcKTXJSvf0BNXhiIi0UkgBzrx58xgzZgzf+973GhUZS+TYrAa1Hn+kmxE1HHGUwYHAwpubd1Zowj8RkVYI6ZugqqqKiRMn6pdslFEXVUP1GZzEOMjgQGA+nPWbD3Kwwk1Wl9ie20dEJNxC+iY4++yzWbNmTUe3RVpIRcYNxVMNDkBf1eGIiLRaSN8EX3/9NW+88QZ///vfSU9Pb7Dv3nvv7Yh2SQhsFoPKmtpINyNqxFMNDkCvbknYLAbbi6s4XRP+iUgT/vWvf/HrX/8an8/HVVddxfTp0xvs9/v9/PrXv+bdd98lMTGRRx55hCFDhnDw4EFuuukmKioq+L//+z8uuOACAG688UbmzJlDz549I3E77SqkAOecc87hnHPO6ei2SAspg9NQvGVwzIaJ3j2T2VZcHemmiEgU8nq93H333Sxfvpzs7GwuvPBCzjvvPE488cTgMe+++y7bt2/n/fff56OPPuIXv/gFr776Ki+99BKXX34548eP5+qrr+aCCy7grbfeYsiQIXER3ECIAc7ZZ5/dwc2Q1lANTkMOlxcTkBAnGRwAu83El3uq+fEfN5CZauNHZ/ZixKCsSDdLRKLAxo0b6d27N3l5eQCMHz+eN998s0GA8+abbzJhwgRMJhPDhg3j8OHDlJSUYLFYcDqduN1uDMPA4/GwaNEili5dGqnbaXfNfhP897//DekEoR4n7c9mMahVBifI4fKQYDNjxEkx/IdflLJ5Z2XwcVmlm+fe2smHX5RGsFUiEi327dvXYKHr7Oxs9u3bF9Ixl1xyCe+99x5XX301P/3pT1m6dCkTJkwgMTExbO3vaM1mcNatW8fy5csZPXo0gwcPJicnh8TERBwOB8XFxWzevJm1a9eSl5fH8OHDw9lmqWNVF1UDDrcv5hfaPNJLa/fi8TacBsDt8fHS2r3K4ogIfn/jaUK+O9q5uWPS0tJ49tlnASgvL2f+/PksWrSIu+66i/Lycn784x/H/Hd7swHOjBkz2LVrF2+//TaPP/44+/fvD+7r2bMnBQUF/OQnPyE3NzcsDZXG6ruoNE9KgMPliYtlGuqVVbpbtF1EOpfs7GyKioqCj4uLi+nRo0eLj3nkkUe44447eOmllxgyZAiXXHIJN954I6tWrerYG+hgR63BOf7447npppsAcLlcVFdXk5ycTEKC5uSIBjargc8PXp8fi1kBjjPOMjiZqbYmg5nMVE22KSKQn5/P9u3b2bVrFz179uTll1/miSeeaHDMeeedx5IlSxg/fjwfffQRaWlpDQKcbdu2UVJSwqhRo/j888+x2+2YTCZcLle4b6fdhTzcJCEhQYFNlLFZAiVU7lofFnP8FNa2lsPlISXRGulmtJsfndmL597a2aAb0mI28aMze0WwVSISLSwWC/fffz+TJk3C5/MxceJEBgwYwF/+8hcArrvuOs455xzeffddzjjjDBITE3n44YcbnOOBBx7gZz/7GQA/+tGPmDx5MosXL2bWrFlhv5/2Fh/jaTupYIDj8ZEU4bZEA6fbR7f0+Mng1NfZvLR2L2WVbsyGCRNwQq/UyDZMRKJGU9O4XHfddcF/m0wmfv/73zf7/CeffDL476ysLP7xj3+0fyMjRAFODLNZAwGORlIFOFwe7HFUgwOBIKc+0DlQ7uT+Zz9n8WvbuHPiQMyGuiVFRJqjfo0YdmQXlcTfKKrv6pZu55pze/NNURWvfLA30s0REYlqCnBiWH0GR0PFwev1UevxxdUoqqacNrArZ5ycxRsfFrNlV0WkmyMiErWa7aK69dZbQzrBggUL2q0x0jLK4HwruJJ4HGdw6k38wfF8U1TF4te3cc91J5GWFD+F1SLSMiaTCZPJhM+n74HvajbAuf3224P//vrrr1m9ejXjxo2jW7duHDhwgDfffJMxY8aEpZHSNGVwvuVwd54AJ8FqZur/68ecZZtZ+sZ2brukf9zM3iwiR3dkQGMYRnCZBWms2QBn8ODBwX8vXryYu+++m8zMzOC2goICfv/733PxxRd3bAulWVZlcIK+XUk8/gMcgOO6JXH52cez/J2dvPO/Es4dHh+L44nI0ZnNZjweD2Zz4HedgpvmhVSDU1ZWht1ub7DNbrdTVlbWIY2S0Bw5TLyzc3aiDE69s07pRv4J6by4dg879lVFujkiEiYWiwW/34/X6410U6JaSAHO8OHDeeCBB9i0aRN79uzhk08+4aGHHmLYsGEd3T45Cps18GWuAKfzZXAgkKq+7rw+pCVbWfjqtuDPQETik9lsbtA9ZbFoppejCemnM3XqVP7617+ycOFCysrKyMzMZOTIkVx++eUhX6iqqooFCxawadMmUlNTmTRpEqNHj2503Lp161i5ciXl5eVYrVby8/OZPHkySUmBqeyuvfbaBse73W7OP/98Jk+ezP79+5k+fXqDGZfHjx/PhAkTQm5nLFGR8bc6Uw3OkZITLUy5qC9/XLGFZYU7uOnCvlqXTCROmc3mYDGxuqaOLaQAx2azcfXVV3P11Ve3+kKLFi3CYrGwcOFCduzYwZw5c8jLy2u0WOeAAQOYPXs2aWlpOJ1OnnrqKV544QUmT54MEFz9FMDpdDJ16lRGjhzZ4BxLliwJ9k+GyrphQ4PHvp498ebmgteL9aOPGh3vzcnB16sXuN1YP/mk8f7cXHw9e4LDgfWzzxrv790bX7dumKqrsWze3Hh/3774unbFVFmJZcuWRvs9J5yALa0LKY5K0j/biNXfcHVpz8CB+FNTMQ4exLxtW+PnDx6MPzkZ48ABzDt2NNpfe/LJkJiIsW8f5t27G+8/5RSw2TD27sV8xEJuwf2nngpmM+bduzH27Wu8/7TTADDv2IFx4EDDnWZz4PmA+ZtvML7bFWqzBa4PWL76ClN5OclfHWJgUQmZn3mxpidTO2RIYP/WrZgqAsOpTenpWMvL8Scl4TnppMD+zz/HVFPT4PT+tDQ8AwYAYP30U3A6G+5PT8fTv39g/yefgLvhelG+zEy8/foF9n/0EXwnjezr1g1v796B/d9530HL33uDgJsyS1n77ha2Vm1j8FlDOvy958/IwHToEJavv268v5O99xqw25t879WL5veeKT0ds90e9b/3OuN778vduzmxXz/cR7z3zHH03oM2fueOH9/oeGjBTMabNm1i3bp1HD58mJ///Od88803OBwOTj755GM+1+l08uGHH/LHP/4Ru93OwIEDGT58OGvWrGkUNGVlNfyiNgyDkpKSJs+7fv16unTpwqBBg0K9jWal163FUc/x/e9TM3UqVFU12gfgGDeOmmuvxbR/f5P7ay69FMeECRg7d5L+i1802l999dU4L7oI8xdfkD57dqP9VZMn4xo7FuvGjaQ9+GCj/ZW33YbpjDMYUPIV33vtedITGwZ0FXfdRW1BAQmFhaQ8/XSj55ffcw/eQYOwv/YaycuWNdp/aM4cfHl5JK5aRdLf/95of9mjj+Lv3p2k558n8Z//bLT/4FNPQUoKiUuWkPivfzXe//zzACQ99RT29esb7PPbbJQtWQJA8vz5JGzc2GC/LzWVQ3XTiyc/+ii2L75gmMPLCQ4vPT+y4s/KonzePABSHnoI6zffAIG/ftK9Xjy9enG47meaOnculr0NJ82r7dePirrXJPW++zAfPNhgv3vQICrvuQeAtF//GqOyssF+V0EBVXfdBUCXX/4S03d+EThHjqT6jjuAxu87aN177wK/n1OrPLjeBfeuy7Bde2WHvvfcZ5yBbd06Ur+zsB90vvfekbxduzb53qvXEe+9Io+HwupqruvSpU3vPbPZTOKYMVH/ey/e33tnX3EFW7/zvmnKYJuNj/v0CT6OxHvvSJH4vRfUlgDnn//8J6+//jrnnHMO6+teFJvNxjPPPMP9999/zOcXFxdjGAY5OTnBbXl5eWxuIoIH2LJlC3PmzMHhcJCQkNDsol+rV69mzJgxjVLy06ZNw2QyMXToUK655hrS0tIaPbewsJDCwkIA5s6d2yjjk5SYiD0zE2y2JrNBScnJgf21tU3uT05OJjEzEw4fbnZ/UmYmdOnS5P6UlBSSMzMxNbM/NTUVf2YmNrMJMDU6Jq1LF/yZmZhSUpp8fpcuXSAzE1NycpP709PTITMTIzkZo4n9GRkZR92fmZkJKSkYiYnN74em91ss3+632xvtN1utwf1mux2T2Qz4ABNWiwX/kftttrr9gZoVs9mMceR+qzW4v55hsx11v91ux1q332K1QhP7bfX7LZZGf8kkJiaSUH/+pt5brXzv9Ugzs+eQi3XbHFyclo4tvWPfe6bU1Cb3d7733reMZt57Te5v5Xvv9KuuYvOXXza6ryn79sHWrfDCCwCcZLezqW/fBscc7b1nMpli5vdePL/3Qu19qP99Vu+Y7z2LhcykJLDbA+8tvz94XQCjtpbMQ4egX7/A/voAJTERAHtZGbYvv8Q/ciQWqxVTVRV+sxlSUgKH7dxJwn/+g/+CC7BYLJhKSsBqxd+lS91pOub33lF/Rn5//V027/bbb+eee+6he/fu3HjjjTzzzDP4fD6mTJnC001Eyd/1xRdf8PDDD7Nw4cLgtsLCQt5//31++9vfNvu8srIyCgsLGT16dIPgCKC0tJTbbruNefPm0b17dyCQKdq7dy+9e/emsrKSxYsX43Q6ufvuu4/ZxgMvv9zgcSx0UfkzMvjtI2sZk1DO+ac1HCYcr6laoMlugrf+u4+tuyu5/ZL+zaZq09PTKY/DLqojbSuqYv7HboaOHshV3+uuboJO0EW1+pNP+NPf/sbf7ruvTe+99PR0ytRF1X7vvd27MZxOfKmBxXGN8nJ8PXpQO2QI5p07sX78MZY9e3CNGAGA9csvMblcVE+ejPmbb0h84w3MW7dSU1d3av/XvzBKSjj8xz9i+eorkp95BsvWrVT8/OcAJD/3HObiYg6uXIll61bS7r8f865dlD/0EACpDzyAuaKCA2+9heXzz+ny859jVFZSXpfV6XLvvfitVg6++CLWTz+ly8yZYLFwuC6r0+XnP8eXnU3Zc89h/eQTMqZNw9u9OxW//CUA6TNm4BkyhENPPon1o4/IuO02ak88karp04GO/b3XrZkMTkgBzpQpU3jqqacwDCMY4LjdbqZPn85TTz11rKezfft27rnnHp577rngtldeeYXPP/+cn9e9OM358ssvWbx4MQ888ECD7X/729/YtGkT9957b7PPLS8v5+abb2bJkiXBIuXmFDXxZo0Fdy/aRL+cFCZf2PfYB8exxa99w/Z91dx/09Bmj8nKyqK0tDSMrYqMv763i8L/lXDLD0+goH9GpJsjHWzNmjU88cQTrFixok3n6SyfjyCHA3NJCd6ePcFux9i/H9vGjbhGjcKfloblq6+wv/461ddeG8iWf/ghSUuXUjF7Nr6uXbG/9hqpDz/Mwb/+FV9mJknPPkvavfdSsmED/owMkv/8Z7rMnk3xl1/iT04m5U9/Iu2BByjavh1sNlL/+EdSH36Yoj17wGQidc4cUv78Z4p37gQgdc4ckv76V0rqvuxTHnkE+7/+RWndat/Jf/4zto8+4lDdd3DSkiVYtm2j4r77AEhcuRJzSQlVdZP22l9/HVNFBY4rrwQgYfVqcLlwnXceEAg6TH4/7tNPBwgEoGZzMOA2796N32zGV5dsMJWVBTI0dQEctbVgGI0y2uHw3QRIvZCGiQ8aNIiXXnqpwbZ//vOfnFT3l8ixZGdn4/V6KS4uDm7buXNnowLjpvh8PvY18VfYmjVrOOuss0K6fjyzWQ0NEycwiqozDRE/mkvOPI7jeyTxl7e2U1bhinRzRNqH04n1o48w6oIwo6yM5D//GXNdJse8ezfpM2diqcscWTZvJuvCC7H+738A2P79b7L79cP24YcAJPz73/Q44wysn38e2L9xI5mTJ2OpCzAsW7eS9oc/YK6rATXKy7Ft2hTMuvlTU/H06QN1OQLPwIHUXH89WANLp7hGj6b8/vsD3TiA46KLOPjMM4EgAKi+5hr2v/128PaqZsxg36ZNwceVv/hFMLgBqJo5MxjcAFTfckswuAGoueGGYHAD4LjiimBwA+C88MJgcAPgOuusYHADgcxmfXADgWxXfXADddm5IwIJf2bmt8ENBO47AsHN0YQU4EyePJn//Oc/3HbbbTidTmbMmMH69eu5/vrrQ7qI3W5nxIgRrFixAqfTyZYtW9iwYUOTSz2sXbuW0tJS/H4/Bw4cYPny5QypS/nW27p1K2VlZYwaNarB9q+++oqioiJ8Ph+VlZU888wznHTSScfM3sQym8XQMHEC8+B0tiHizbGYDaZe1A+v18+i17bh9R0zSSsSHh7Pt91utbXY33wTy1dfAWCqrKTLnXcGMguAUVxMj6FDSVy5EgDzvn10u/hiEt59N7C/rIwus2djqwtoTA4Htvffx1wXAPltNnyZmcEvXW9ODtU33oi3rqShdvBgDj36KN68PABcI0dy4I038JxwAgDOCy6gaPt2PAMHBh6ffz77338/0I0CuMaM4dCiRfi6dgXAfdppVNxzD/66mhTPySdTc+ONUDdJrrdfv0BAUVfz4uvRA8/gwVBXQ+pPSgrWq0j7CKnIOCMjgzlz5vDNN99w4MABunbtygknnIBhhL4Y+ZQpU5g/fz5Tp04lJSWFqVOnkpubS2lpKTNnzuSRRx4hKyuLPXv2sGzZMqqrq0lOTqagoIBJkyY1ONfq1as5/fTTSawrfqpXUlLC8uXLqaioIDExkaFDhzJjxoyQ2xiLlMEJcLq9dE1LOPaBnUT3DDvXnNubxa9v49V/72X8GcdFukkSh4ySEjCZ8NUFDUnLl+M5/njcZ5wBfj+ZN96Ic+xYaq65Brxesvv0oeonP6HyzjsD+ydPpmLWLKpmzsRvsWB/7z1q6yaQ9aen47zwwmAA4u3Zk4NLlwbqZABPnz4Uf/EF/uTkwOMTT2T/EbUd3hNOoOyIsghvXh4Vv/pV8LGvZ08cR8zl5u/SJVg/BQQDEYldIdXgQGBSoa+++opDhw7xve99D2ddFP7dJRxiVazW4Mz7+5dU1tTyy2tC6y6MV79c+An9j0vlxnHN1yJ1uhoDYOkb2/n356XMvHwAA45vPJpQYtvex5ey609/YEF1OS906c72aT+h1/TQMuvflZWVRfkHH4DXi6du6o3kp5/Gl5KC44orAMi8/no8/fpR8etfA9Bj2DBcZ51F+cMPBx4XFOA891wO/+EPAHS94gqc559P9U03AZAybx7u4cNx12XfrZ9+irdXr0CmRaSVmqvBCSlE3bVrFw888ABWq5WDBw/yve99j82bN7N69WpmzpzZrg2VlrFZDGo96oJQDU7TrjzneL4pqmLx69u457qTSE2yRrpJ0k72Pr6UIQ/ey2FPoM4q6/B+Uv7wWz53u8j+6c0AWDduxDh0CNcPfgBA8sKFGOXlVNbNV5IxZQomh4Oyujlh0mfNwp+YyMG6guXEv/8db3Z2MMDxHH883h49gm04/Jvf4MvODj4+8PbbwVFDAAfrupfqHVkTAjTMmIi0s5ACnIULFzJx4kTGjBnDjTfeCARWG3+ybsIriRx1UYHf78epGpwmJVjNTP1//Zj7/GaWvLGd2y7pj6GlHGKWp7gEx1c72dd3EIOfeAS7p2ERud3rJv+R2ZTUBTgpTz2F9bPP2F8X4Fi2bsW8f3/weNcZZ2CqrQ0+Pvyb3+A/Yqmb0n/8I1gUCwQngqvn/OEPGzz2fWeiVpFICinA2bNnD2eeeWaDbXa7Hfd35v+Q8AsUGXfuRRbdHh8+f+daaLMlcrsnMeGsXF54dxfvflTC2GE9j/0kabW9jy+lz/xHyTx8gLIu3ULqNnLX+jhc7aZ6z378n3/BN/2GcrjGQ69/vcFJq1/hoWvu53CNhyvfWsw9/3uJpqZIDYatPh/06sWAAQNYvXRp4HGdw3VzotSrqfuDtV7tdxdQbkGdpUi0CSnA6datG9u2baNf3QRSAF9//TU9e+oXZaRZlcEJrqKtDE7zzs7vzhc7K/j7mj2c0CuV3j2TI92kuFTfbWQ/stvowXt5v6oWxyWX4thXSsKnm9h63CAO1Fro9fEHnF/4PPdf/HMqEtO4+KNXufm9RSy4ZQnVqRlcuL8Cq8tJ7xRI7N0VelzFny87H9fo0Zxy8Q/odvjbiQp9hkH1ypW4X3wV1x9+B0Dn/tNHOruQApyJEycyd+5czj33XDweDy+++CJvv/02P/7xjzu6fXIM9cPE/X5/p11F2lkf4CiD0yyTycT15/dh9rOfs+i1b7j7mpMUELYjV62XPftrGPj4w427jTwuChY/yg3WUxj51XrufmUuv7n5Mdz9B5OelkhKso0fDk3D3LcPPc+YyJZJZ/LbM0aS2CUZk2k4cCff5lnygv/aMW0mqUcEU4bPh+9QOVVTp2I3mzGZTPj9frxehTnSOYUU4AwbNoxf/OIXvPvuuwwePJgDBw4wa9Ys+vbt3LPnRgOb1cDnB6/Pj8XcOQMch1sZnFAkJ1q46cK+/HHlFp4v3MHkC/t22qC4LaodHnYVV7L7oJODX++hYNXTvN5nNFuzT+TlyqZH6WXUHOLX151Ehut4Dlw3jFtOOaVuePNg+NmVfFsAkBXYFoJe06/nU2jQHbbPZ6PbwH4YhkHtEbU1Ip1RyAP9+/btq4AmCtksgT5yd60Pi7lz9pc7lMEJWf/jUrl4VC/+8cFeBuV14Xsnd86i0FDqZPx+P4crnFS9uZpdJPNJQk/KdpTwu3k38+7Iy3m14P+Ra3Zy28eFMPxUzhl/AmWLssiqaBzklHXpTq9uSUAStcf1aLS/tXpNvx739Oupn+s9k0C2rra2FqvVisfjIcSZQETiTkgBjsfj4W9/+xvr1q3j0KFDZGRk8L3vfY9LL70Um83W0W2Uo6gPcGo7cR1OfQbHrgxOSMaNyGbL7gqWv7OTvtnJ9OyaeOwnxZEm62T+8Fv+4/Jy+OIfkTf3Pr5OP45V/c+hqtrNynnTKB56HsWX3EZu354Un30ewy8YxfcvzCclyUrZjC8ZWJcJ237bT0k54twATktCIIAK0/3VBzS1tbVYLBZ8Ph8+X+f9/SCdV8jDxIuKirjxxhvp1q0bBw4c4KWXXmLRokVMmzato9soR2Gz1mVwOnGA41SRcYsYhonJ4/oy+y+f8+jftgImDlW6yUy18aMzezFiUHxndU6Y91CTw6sHLvwTNzGEOZ9vJrmfiZPPS+f47kl8cfJfOGVof07Lqcu8XPwoDSbUP6Kbr6luo7ZMvtcaR9bceDwezEfU44h0JiEFOBs2bGDevHkk102Jfdxxx9G/f39u/86kTRJ+R3ZRdVbBDI66qEKWkWrjeyd35e3/lgS3lVW6ee6twEKD8RLkeL0+ql57B8enW/jXyB+yq6SaR6vKmjw2q7KUX1w9mNQZbzDEYvDtFHQt61L6brdRuDI3zVGRsXRWIRVtpKen43I1/IvH7XaTkZHRIY2S0CmDoxqc1vrf1kONtrk9Pv6+Zk8EWnN0ex9fim1wAT17HYdtcAF7H1/a6Jhaj48d+6rYNn85hy+9nt8/+xl3zPuIr59cSd9nFrD+8wOYzQaHkpv+vVXWpRu9eyZjtXTOWjaReBNSBmfMmDH8/ve/54ILLqBr164cPHiQN998kzFjxvBZ3UquACfXLYIm4aMMTiCDk2A1MAyNCGqJssqmJ+osr6rlF099Qt+cFPrlpNA3J5ncbkmYI1TE3lzNzPsVLkrGjSfxtdcZ88Lj3HnNw1RZk7jw4y+5cPvXpONmQEEPjNG/ZHtuFo90T8EwmfjmwF0kRbhORkQ6XkgBzttvvw3Aiy++2Gh7/T6TycTjjz/ezs2TY6n/a7MzZ3C0TEPrZKbamgxykhLM9MlO5pu9lfx3a6A7x2oxyOuRVBfwBP5L6+B1rdy1Xg5V1tJ7ftNLEpz6zGNcn1DA8Gor/foM4oJBKXQd1Ifjp/wcS9qvmdbMEPhoqJMRkY4XUoDzxBNPdHQ7pJXURRXI4Kh7quV+dGYvnntrZ4P3js1icOU5xwdrcMoqXGwrrmZbURXfFFVR+L8SvBsC1SXd0hMCAU92IODplZWIYZj48ItSXlq7l7KjFC7XenwcqnQH/qtyU1b/77r/XAfKcDlqqUhM4+UjZus9UnpNOXNvPoX0lOGYTNdwbgvuPdrqZDrSv/71L37961/j8/m46qqrmD59eoP9b775Jg8++CBWayBgvffeezn99NM5ePAgN910ExUVFfzf//0fF1xwAQA33ngjc+bM0Uz2EvVCngfnSJ999hlms5lBgwa1d3ukhdRFFajB0RDxlqsPOo4WjGSmJZCZlsDwAZlA4H22q6Sab4qr2FZUxeYdh1m/+SAACVaDzFQbJeXO4PJHZZVulr6xg39/VorNag4GMlUOT4O2WDy1dMeJkd2dHjYv9zx2LZ9cdiM7pk7n4KIsujUzt0xGqqapOBqv18vdd9/N8uXLyc7O5sILL+S8887jxBNPDB4zevRozjvvPLp168aaNWu45ZZbWLNmDS+99BKXX34548eP5+qrr+aCCy7grbfeYsiQIQpuJCaEFOD85je/4aqrrmLgwIG89NJLvPbaaxiGwfnnn8+ll17a0W2Uo7BZA1/snTmD41QGp9VGDMpq0Ygpm9XghONSOeG4VCAw50rp4UCW55u9Vbz/6QG+O+WK1+dny65KcrISyUi10adnMunJFrJ91SQdn01Gio2TLz6H2lNOofxn8wGodN3HccOG0XNwFjtu+2mDJQlANTOh2rhxI7179yYvL7DEw/jx43nzzTcbBDj1o2MBampqgrNbWywWnE4nbrcbwzDweDwsWrSIpUsbF3iLRKOQApzdu3cHPxDvvPMOv/nNb7Db7dxzzz0KcCJMGZxABkd/yUeGyWSiW7qdbul2RgzqyupP9jd5nB/4zcU5+DMDmaCMyZMx791L6ZtvAlA1cya+7t2Dx9dc/209jGpmWm/fvn3k5OQEH2dnZ7Nx48ZGx/3zn//kD3/4A/v37w8GMJdccgm33XYbq1at4pe//CVLly5lwoQJJCZ2rokhJXaFFODUTxC1b1+gx/q4444DoLq6uoOaJaGyWQJ/bSmDowxONDiycDnJVU1NQiA7MPU/y+nx1Gvs++wzsFqpufJKjIoK8PvBZMIxYcJRz9uZambaU1OT+zW1/ti4ceO49tprefXVV3nwwQdZsWIFaWlpPPvsswCUl5czf/58Fi1axF133UV5eTk//vGPGT58eIffg0hrhTTuc8CAATz99NM8++yznHbaaUAg2ElNTe3Qxsmxmc2B4dGdPYOjGpzo8KMze2GzGJzz+Ts8P/9asioPYLMYdJkwjsq77sLkCdTeuM47LxDUaLHPDpWdnU1RUVHwcXFxMT16ND9x4ciRI9m5cydlZQ0nQ3zkkUe44447eOmllxgyZAgPP/wwc+fO7bB2i7SHkAKc2267jaSkJPLy8rjiiisAKCoq4sILL+zQxklobBaj065F5fP5cdX6lMGJMPPOnXS99FLOPPQl15yXx+4BBawYcTmpaYlcc14e/S8/l+opU/CreyOs8vPz2b59O7t27cLtdvPyyy9z3nnnNThm+/btwUzPp59+Sm1tbYNJXLdt20ZJSQmjRo3C4XBgGAYmk6nR5K8i0SakLqrU1FQmTZrUYNupp57aIQ2SlrNZjU7bRVW/TIPmwQkzr5ekF17A27MnrnPOwde9OyaXC1NNDSO+l8WIQecD53N2pNvZyVksFu6//34mTZqEz+dj4sSJDBgwgL/85S8AXHfddbz++uusWrUKu92OxWJhwYIFDbqxHnjgAX72s58B8KMf/YjJkyezePFiZs2aFZF7EgmVya8V2AAapHFjzd2LNtEvJ4XJF/aNdFPCrvSwi7sXbeK683pzxpBuRz02KyuL0tLGw40lNKbDh7Hs3Ent0KHg99P9zDNxDxtG+WOPRbpp0g70+ZBYdWQh/ZFaNQ+ORJfOnMFxKoPTsdxusAVGqGXccQeWrVvZ/+9/g8lE6Usv4evaNcINFBFpmlaViwM2i9Fpi4zrF9rUSuLtL2n5cnrm52OqrASgcuZMDi1YENzvy8pSkbCIRK0WBTg+n49DhxqvQCyRZbMog6MMTtuZd+wg49ZbsXz1FQC1gwZRc9llmJzOwOP8fGoLChTUiEhMCKmLqrq6mkWLFrF+/XosFgvPPvss//3vf/n666+58sorO7qNcgw2q9Fo6vvOoj6Do1FUrWPduBF/UhKeAQPwJyZi+/e/Me/Ygad//0BAk58f6SaKiLRKSBmchQsXkpSUxPz587FYAjHRiSeeyAcffNChjZPQdOouKmVwWs/ppOs115Aybx4Avh49KPnoI1zntmTZShGR6BRSBufTTz/lySefDAY3AGlpaRw+fLjDGiah68xFxsEaHAU4IUn861+xv/tuoJbGbufgkiV4jlw011BZnojEh5B+myUlJVFZV2hYr7S0tMFkUBI5gQyON9LNiAin24th+nZNLmnMvHMneAPvD6OyEuPAAUxVVQDUnnYa/pSUSDZPRKRDhPStcM455/DHP/6Rzz77DL/fz5dffskTTzzBuUplRwVrJ8/g2BPMTa6vI2DbsIHuZ5yB/e23Aai+8UYOrlqloEZE4l5IXVTjx4/HarWyePFivF4vCxYsYOzYsVqqIUp06hoclxbabMDnI/Hvf8eflITzwgtxFxRQ+bOf4S4oCOxXICginURIAY7JZOKiiy7ioosu6uj2SCvYLAY+P3i9PszmztVV43R7VWAMUFsLViuYTCQvXoy3Z0+cF14IFgtVt98e6daJiIRdyDMZ79+/n127duGsmxOj3ujRo9u9UdIyNmsgqHF7fCR2sgDH4fJ2+kn+kpYuJWX+fPavXg12O2V/+YtmGBaRTi+kAOfFF19k1apV5ObmYqubth0CmR0FOJFXX2DrrvWRmBDhxoSZw+0lPcUa6WaEl99Pwpo11A4Zgi8zE8+JJ+I66yyMmhp8dju+bkdfk0tEpDMIKcB59dVXeeCBBzjuuOM6uj3SCkdmcDobh8tLdqY90s0IK/M339B10iQq7r6bqmnTcI8ahXvUqEg3S0QkqoQU4KSkpNBNfxVGrSMzOJ1NZ6nBSXn0UUxuN5X/9394TziBg88/j2vkyEg3S0QkaoUU4Nxwww08+eSTXHTRRXTp0qXBvqysrA5pmITOaumcGRy/399panAsu3aBywV+P5hMuM46K9JNEhGJaiEFOB6Ph02bNrFu3bpG+1asWBHShaqqqliwYAGbNm0iNTWVSZMmNVm/s27dOlauXEl5eTlWq5X8/HwmT55MUlISANdee22D491uN+effz6TJ08GArMuL168mNLSUvr378+0adPiPvvUWbuoPF4/Xp8/LjM45j176PKzn3H4vvvw9utH+UMPaZZhEZEWCCnAWbRoEVdddRVnnHFGgyLjlli0aBEWi4WFCxeyY8cO5syZQ15eHrm5uQ2OGzBgALNnzyYtLQ2n08lTTz3FCy+8EAxgnn322eCxTqeTqVOnMrIuVV9RUcFDDz3ELbfcwrBhw1ixYgWPPvoov/vd71rV5ljRWbuogss0xGEGx2+1Ytm2DcuOHXj79VNwIyLSQiH91vT5fHz/+9/HbrdjGEaD/0LhdDr58MMPmThxIna7nYEDBzJ8+HDWrFnT6NisrCzS0tK+baBhUFJS0uR5169fT5cuXRhUt5bOf/7zH3Jzcxk1ahQ2m43LL7+cHTt2sHfv3pDaGas6awYn3hbatHzxBakPPggEFr7cv3YtrnPOiXCrRERiU0gZnIsvvpiXXnqJSy65pFVT4hcXF2MYBjk5OcFteXl5bN68ucnjt2zZwpw5c3A4HCQkJDBr1qwmj1u9ejVjxowJtmn37t3k5eUF99vtdnr27Mnu3bvp1atXg+cWFhZSWFgIwNy5c2O6lshj1ACQYE+O6ftoqXJnYLHXHlkZId23xWKJ6p+P8e9/Y162jIQZM+CIz4pIOET750OkpUIKcP75z39SXl7Oiy++SMp31rBZsGDBMZ/vdDqDNTT1kpKSGk0aWG/gwIEsXbqUsrIyCgsLm6yhKS0tZfPmzdx6660NrnNk9udo1xk7dixjx45tcL5YVV1dC8DBQ4cpLe08E+EUl1QAUOuqDun1y8rKirrX2bpxIwC1BQVw7bUYP/oRPpsNoqydEv+i8fMhEoqcZv4gDCnAub2NU73b7XYcDkeDbQ6HA7v96POXZGZmkp+fz2OPPcYDDzzQYN/q1asZOHAg3bt3P+p1ampqjnmdWGezBDJYna0Gxxnsogp5Qu7o4vGQMX063uOO4+CKFWC14svMjHSrRETiQkjfDIMHD27TRbKzs/F6vRQXF5OdnQ3Azp07GxUYN8Xn87Fv375G29esWcP48eMbbMvNzWX16tXBx06nk5KSkpCuE8vqi4xrO1sNTrDIOLYKcK0ffUTtKaeAxULZokV4NYGmiEi7C/mbYceOHfzzn/9k5cqVrFixIvhfKOx2OyNGjGDFihU4nU62bNnChg0bGDNmTKNj165dS2lpKX6/nwMHDrB8+XKGDBnS4JitW7dSVlbGqO/M3nr66aeza9cu1q9fj9vtZtWqVeTl5TWqv4k3ZrOBYZg6XZFxLGZwrBs30u3ii0l6/nkAPIMG4U9NjXCrRETiT0jfDIWFhSxdupShQ4fy8ccfk5+fz6ZNmxg+fHjIF5oyZQrz589n6tSppKSkMHXqVHJzcyktLWXmzJk88sgjZGVlsWfPHpYtW0Z1dTXJyckUFBQwadKkBudavXo1p59+OomJiQ22p6Wlceedd/L0008zb948+vfvz4wZM0JuYyyzWYxO10VVn8FJjIEMjlFaii8ri9r8fMr/8Accl14a6SaJiMQ1k9/v9x/roNtvv51p06YxaNAgbrzxRp555hk2btzIunXrmD59ejja2eGKiooi3YQ2uevPH3NKv3SuObd3pJsSNqtW7+a9j/fz+IxhIR0fqSLKlMceI3nRIg68955W+ZaopSJjiVVtKjKuqKgIzjVjMpnw+XwUFBTwpz/9qf1aKG3SWTM4UZu98fvB6wWLBef552OqrcX3nRGIIiLScUIKcDIzM9m/fz/du3cnOzub//73v6SmpmKxxE7tQ7yzWYxOWYMTlfU3Xi8Zt9yCt1cvKn77WzwDB1I5cGCkWyUi0qmE9O0wfvx49u7dS/fu3ZkwYQIPP/wwHo+HG2+8saPbJyGyWY1OOYoqKkdQmc14jzsOb48ekW6JiEinFVKAc/bZZwf/XVBQwDPPPIPH44n7+WViSefsovJETQbHKCoi/Ze/5PCvfoX3hBOo+M1vIt0kEZFOrdk/f30+X7P/GYaBzWbD5+tcX6jRzGbtjF1UvuhZh8psxrJ5M9Zvvol0S0REhKNkcK666qqQThDqXDjSsTprBieSK4mbv/6axH/8g6qf/jSwOOb774PNFrH2iIjIt5oNcB5//PFwtkPaqDNmcBwRzuAkvvEGKYsXU3PllfhychTciIhEkWYDnG7dulFeXk56enoYmyOtZbUYuGu9kW5G2Pj8flxuL4lhzuBYPvsMU20ttQUFVP34x9RMnIivicVgRUQkso46BOW7swA/9NBDHdoYab3AMPFjztkYN1xuH34IbwbH6yXz1ltJmz078NhqVXAjIhKljjoE5buTHH/++ecd2hhpvc7WReVweQDCUoNj/fRTagcPBrOZsiefxFu3YKyIiESvo2ZwTCZTuNohbWSzGPh8frzezhHkON2B++zoDI7100/JGjeOpOeeA8AzeDD+jIwOvaaIiLTdUTM4Xq+Xzz77LPjY5/M1eAxw8sknd0zLpEVs1kCs6vb4SDRH4eR37ayjMzimsjL8mZnUnnwyh3/3OxyXXdYh1xERkY5x1ACnS5cuLFiwIPg4JSWlwWOTyaTRVlHCZqkLcGp9JCZEuDFh4HDXrSTeARmc5D//mZQnnggujllz/fXtfg0REelYRw1wnnjiiXC1Q9rIavk2g9MZOFwdEOB4vWA24/r+9zHKyvAlJbXfuUVEJKzivy+jkziyi6ozCGZw2qOLyucj/bbbSLvvPgA8AwZQ+ctfQmJi288tIiIRER0L+UibHdlF1Rk42zODYxj4unXDpzmfRETihjI4caIzZnBMfHvfLWXs20fGzTdj/vprACp++1uqfvKT9mugiIhElAKcONEZMzj2BDNGK6cyMCorsWzdivWLL9q5ZSIiEg3URRUnOmMGp1VDxOsKiT39+3PgvfdAcz2JiMQlZXDiRGfL4Dhc3pbX33g8ZN5wAymPPRZ4rOBGRCRuKcCJE/UBTm0nyuC0eASV348vMxNf164d0ygREYka6qKKE52ui8rlJS3JGvoTamvBaqX80UeVuRER6QSUwYkTna2LytmCDE7iCy+QNX48lJUpuBER6SQU4MQJs9nAMEydKoNjD7EGx9e1K95evSA1tYNbJSIi0UJdVHHEZjGUwTmSywUJCbjOPRfXueeSZW1Bl5aIiMQ0ZXDiiM3SOTI4Hq+PWo//qBkc886ddB8zhoR33gljy0REJFoowIkjNqu5U4yiCi7TcJQMjj8lBc+JJ+LJywtXs0REJIqoiyqOdJYuquBCm01lcFwusFrxde1K2bPPhrllIiISLZTBiSM2q9EpuqgczWVwvF4ybrmF9Jkzwe+PQMtERCRaKIMTRzpbBqdRDY5hUFtQgC8tTcPBRUQ6OQU4ccRmNahyeCLdjA4XzOAcEeCYamrwJyVRdccdkWqWiIhEEXVRxRFrJ8ngON0Nu6gSV62i21lnYd69O5LNEhGRKKIAJ47YLJ2rBqe+i6p24EDcI0fi7dEjks0SEZEoogAnjnSaIuO6DE6SqwYAz8knUz5vHthskWyWiIhEEQU4caTTFBm7vPSsLqXXOd8n6bnnIt0cERGJQgpw4khnyeA43V7c6Zk4zzkH9+mnR7o5IiIShcI2iqqqqooFCxawadMmUlNTmTRpEqNHj2503Lp161i5ciXl5eVYrVby8/OZPHkySUlJDY5ZtWoVpaWlpKenM23aNAYNGsT+/fuZPn06CQkJwWPHjx/PhAkTwnKPkWazGPh8frxeH2ZznMauDge1lTWYkxM5/OCDkW6NiIhEqbAFOIsWLcJisbBw4UJ27NjBnDlzyMvLIzc3t8FxAwYMYPbs2aSlpeF0Onnqqad44YUXmDx5MgCbNm1i2bJl/OQnP+GEE06gvLy80bWWLFmC2RzaStPxxGoJBDVuj4/EeAxw/H4y7riDq7bu4Y83PRDp1oiISBQLy7eg0+nkww8/ZOLEidjtdgYOHMjw4cNZs2ZNo2OzsrJIS0v7toGGQUlJSfDxypUrmTBhAieeeCKGYZCZmUlmZmY4biPq2az1AU6czuJrMuEYP57/DT2LhEQVFIuISPPCksEpLi7GMAxycnKC2/Ly8ti8eXOTx2/ZsoU5c+bgcDhISEhg1qxZAPh8Pr755huGDx/O7bffTm1tLaeddhrXXnsttiNG0EybNg2TycTQoUO55pprGgRM9QoLCyksLARg7ty5ZGVltectR0TXDBcAyaldyMpMOsbRMebAAejWDW64gX8dfp8eqYktfs0sFktcvM4iHUGfD4k3YQlwnE5ngxoagKSkJJxOZ5PHDxw4kKVLl1JWVkZhYSHdunUDoLy8HK/Xy/r167nvvvswm808+OCD/O1vf+Oqq64iLS2NOXPm0Lt3byorK1m8eDHz5s3j7rvvbnSNsWPHMnbs2ODj0tLSdrzjyHA5qwEo2V+KxRc/AY791VdJ/+lPObhqFbVDh1Jd48KcaWvxa5aVlRUXr7NIR9DnQ2LVkcmTI4Wli8put+NwOBpsczgc2O32oz4vMzOT/Px8HnvsMYBgluaCCy4gIyODtLQ0LrroIjZu3Bi8Tr9+/TCbzaSnp3PTTTfxySefUFNT0wF3FX1s9TU4cTZU3H3aaTgmTKB2wAAgMEzc/t2FNkVERI4QlgAnOzsbr9dLcXFxcNvOnTsbFRg3xefzsW/fPgBSUlLo2rUrJi2k2KRva3DiI8AxSkrA78fXoweHf/97SEjA7/fjcHsbrEMlIiLyXWHL4IwYMYIVK1bgdDrZsmULGzZsYMyYMY2OXbt2LaWlpfj9fg4cOMDy5csZMmRIcP/ZZ5/NG2+8weHDh6mqquL111/n1FNPBeCrr76iqKgIn89HZWUlzzzzDCeddFKj7rF4FU8ZHOPgQbqNG0fqAw1HS7lqffj9365DJSIi0pSwDROfMmUK8+fPZ+rUqaSkpDB16lRyc3MpLS1l5syZPPLII2RlZbFnzx6WLVtGdXU1ycnJFBQUMGnSpOB5LrvsMiorK5kxYwZWq5VRo0Zx6aWXAlBSUsLy5cupqKggMTGRoUOHMmPGjHDdYsTVBzi1cZDB8WVmUn3ddTgvuKDB9uBCm8rgiIjIUZj8fn+cjilumaKiokg3oc0OlDv51eJPuXFcH0YOjtHREE4nRlUVvmZGcxQfdPDbJZ9x04V9OX1Q1xadWkWUIs3T50NiVUSLjCU84qGLKv1nPyNr/HhM3ylKr6cMjoiIhCJsXVTS8eKhyLj6hhtwDxuGPzGxyf0OV12AoxocERE5CgU4cSSWMzjmnTvx5uVRW1BAbUFBs8cFAxxlcERE5CjURRVHzGYDwzDFXAYn4d136X7mmST861/HPNahLioREQmBApw4Y7OYYi6D4x41iqrbb8c1atQxj63P4GiiPxERORoFOHHGZjFiZpi4eedOcLnwJyZSedddcIyZreHbImMFOCIicjQKcOKMzWqOiS4qU00NWZddRnrdQqqhcri8JFgDXXEiIiLNUZFxnLFZjJjoovInJVHxy19SO3Bgi57n1DINIiISAgU4ccZmNaI7g+NyYd69G+8JJ+Com4G6JRwur4aIi4jIMamLKs5EewYnbfZsuv3whxhlZa16vsPtxa4MjoiIHIMyOHHGajGodnoi3YxmVd96K7VDhuDLzGzV8x0uL0kKcERE5BiUwYkz0dpFZd20Cfx+vL164Zg4sdXncbhUgyMiIsemACfORGMXlXXDBrIuvJDEFSvafC4VGYuISCgU4MSZaMzg1A4bxuHZs3GMH9/mczlcXs2BIyIix6QAJ85EUwbH/M03mMrKwDCoufFGaGYBzVB5fX7cHp8yOCIickwKcOJM1GRwPB663nADmTff3G6ndGqZBhERCZFGUcUZq8XA5/Pj9fowmyMYv1oslP/xj/iSktrtlFpoU0REQqUMTpyxWQIvqdvjj0wD3G6sGzYE/nn66XhOPrndTl2/0KYm+hMRkWNRgBNnbNb6ACcy3VSpf/oTWRMmBBbSbGdOZXBERCRE6qKKM8EMTq0XsIb9+lW33EJt//548/La/dwO1eCIiEiIlMGJM5H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" ] }, "metadata": {}, @@ -771,7 +11711,7 @@ "flame.solve(loglevel=loglevel, auto=True)\n", "\n", "Su0 = flame.velocity[0]\n", - "print(\"Flame Speed is: {:.2f} cm/s\".format(Su0*100))\n" + "print(f\"Flame Speed is: {Su0 * 100:.2f} cm/s\")" ] }, { @@ -797,9 +11737,1279 @@ }, { "data": { - "image/png": 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" ] }, "metadata": {}, @@ -817,7 +13027,9 @@ } ], "source": [ - "best_true_speed_estimate, best_total_percent_error_estimate = extrapolate_uncertainty(grids, speeds)\n", + "best_true_speed_estimate, best_total_percent_error_estimate = extrapolate_uncertainty(\n", + " grids, speeds\n", + ")\n", "\n", "best_true_speed_estimate" ] @@ -843,33 +13055,47 @@ "source": [ "def analyze_errors(grids, speeds, true_speed):\n", " \"\"\"\n", - " If we assume that the final answer, with a very fine grid, \n", - " has actually converged and is is the \"truth\", then we can \n", + " If we assume that the final answer, with a very fine grid,\n", + " has actually converged and is is the \"truth\", then we can\n", " find out how large the errors were in the previous values,\n", - " and compare these with our estimated errors. \n", + " and compare these with our estimated errors.\n", " This will show if our estimates are reasonable, or conservative, or too optimistic.\n", " \"\"\"\n", - " true_speed_estimates = [None for i in speeds]\n", - " total_percent_error_estimates = [None for i in speeds]\n", - " actual_extrapolated_percent_errors = [None for i in speeds]\n", - " actual_raw_percent_errors = [None for i in speeds]\n", - " for i in range(3,len(grids)):\n", - " print(grids[:i+1])\n", - " true_speed_estimate, total_percent_error_estimate = extrapolate_uncertainty(grids[:i+1], speeds[:i+1], plot=False)\n", - " actual_extrapolated_percent_error = 100. * abs(true_speed_estimate - true_speed) / true_speed\n", - " actual_raw_percent_error = 100. * abs(speeds[i] - true_speed) / true_speed\n", - " print(\"Actual extrapolated error (with hindsight) {:.1f}%\".format(actual_extrapolated_percent_error))\n", - " print(\"Actual raw error (with hindsight) {:.1f}%\".format(actual_raw_percent_error))\n", + " true_speed_estimates = np.full_like(speeds, np.NaN)\n", + " total_percent_error_estimates = np.full_like(speeds, np.NaN)\n", + " actual_extrapolated_percent_errors = np.full_like(speeds, np.NaN)\n", + " actual_raw_percent_errors = np.full_like(speeds, np.NaN)\n", + " for i in range(3, len(grids)):\n", + " print(grids[: i + 1])\n", + " true_speed_estimate, total_percent_error_estimate = extrapolate_uncertainty(\n", + " grids[: i + 1], speeds[: i + 1], plot=False\n", + " )\n", + " actual_extrapolated_percent_error = (\n", + " abs(true_speed_estimate - true_speed) / true_speed\n", + " )\n", + " actual_raw_percent_error = abs(speeds[i] - true_speed) / true_speed\n", + " print(\n", + " \"Actual extrapolated error (with hindsight) \"\n", + " f\"{actual_extrapolated_percent_error:.1%}\"\n", + " )\n", + " print(f\"Actual raw error (with hindsight) {actual_raw_percent_error:.1%}\")\n", "\n", " true_speed_estimates[i] = true_speed_estimate\n", " total_percent_error_estimates[i] = total_percent_error_estimate\n", " actual_extrapolated_percent_errors[i] = actual_extrapolated_percent_error\n", " actual_raw_percent_errors[i] = actual_raw_percent_error\n", " print()\n", - " \n", - " plt.loglog(grids, actual_raw_percent_errors,'o-', label='raw error')\n", - " plt.loglog(grids, actual_extrapolated_percent_errors,'o-', label='extrapolated error')\n", - " plt.loglog(grids, total_percent_error_estimates,'o-', label='estimated error')\n", + "\n", + " plt.loglog(grids, actual_raw_percent_errors * 100, \"o-\", label=\"raw error\")\n", + " plt.loglog(\n", + " grids,\n", + " actual_extrapolated_percent_errors * 100,\n", + " \"o-\",\n", + " label=\"extrapolated error\",\n", + " )\n", + " plt.loglog(\n", + " grids, total_percent_error_estimates * 100, \"o-\", label=\"estimated error\"\n", + " )\n", " plt.ylabel(\"Error in flame speed (%)\")\n", " plt.xlabel(\"Grid size\")\n", " plt.legend()\n", @@ -877,17 +13103,22 @@ " plt.gca().get_yaxis().set_major_formatter(matplotlib.ticker.PercentFormatter())\n", " plt.show()\n", " flame.get_refine_criteria()\n", - " \n", - " data = pd.DataFrame(data={'actual error in raw value': actual_raw_percent_errors,\n", - " 'actual error in extrapolated value':actual_extrapolated_percent_errors,\n", - " 'estimated error':total_percent_error_estimates}, \n", - " index=grids)\n", - " display(data)\n" + "\n", + " data = pd.DataFrame(\n", + " data={\n", + " \"actual error in raw value\": actual_raw_percent_errors * 100,\n", + " \"actual error in extrapolated value\": actual_extrapolated_percent_errors\n", + " * 100,\n", + " \"estimated error\": total_percent_error_estimates * 100,\n", + " },\n", + " index=grids,\n", + " )\n", + " display(data)" ] }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 11, "metadata": {}, "outputs": [ { @@ -968,14 +13199,1481 @@ }, { "data": { - "image/png": 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"execution_count": 13, "metadata": { "scrolled": true }, @@ -1302,14 +15000,1014 @@ }, { "data": { - "image/png": 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GmDED/H6orMTx3XeJxx0aWUfjB6sp/unO4PXC2rU4vu++qpWx++7gcsG33+JYv777/r32Mr9YuRLHxo2dd7pc5uMBli/HUVvbeb/XizFzpvn1V1/hqK/vvD8rC2OXXQBwLF0KDQ2d9+fkYOy8s7n/iy+gpaXz/oICjClTzP2ffgptbZ3bPmIETJ5s7l+8GNeqVZR0uGFtjBwJ8eJxjo8+gi43s41Ro2DCBHP/++/TVaqfe9322+y5121/L8+9xP6ZM4fFc+/bZ59lXGFhp95T1+ceoVDnn82Gz72Or48BPffKel69JtkAtTtwnlLqGqCq4w6t9f5JPD4X6PJXpAHI6+FYtNbvAAVKqXLgZ8C38V1fAxuBy5VSdwIHYga513s5z/3A/fFvjcYuL5RYUxPR5maIRvH08CKKtrQQa2iAcLjn/W1txOrqoK0Nz6pVOMNBAm0G7deJhkLEqqtxtLbi7uHxkUgEo6oKR3Nzz/tjMYyCAhwNDbi//bb7focDIzcXx6ZNuNes6b7f5cLIzsZZW4vr++/ZtM6cwhatqqSx3knY44GsLJzV1bg6LAM12hdmxfcB1n7yJTm5PpwbNuCqqup2/nB2NrhcuCorcVZXd98fX23ZtXYtzrq6zjudTvPxgOu773B2eRMwPB4iPvMemGv1apyNjZ33e71EPB4A3CtX4mjuPCRp+P1E4uP57hUrcAQCnffn5hKJxTbv7/ImEMvPT2RQuVeupMDvp7FDG2J1dUTjj/GsXAmxzj3nWH090fg1e3rupPq5122/zZ57XfX23Evsz8oCj2ere+7te911fL1uXbf2djVpwgTe0No8f5dkCTs+9/Lz8xOvj4E890Ye0GNfJbm1+JRSp/W2T2v9YBKP3wV4V2ud3WHbpcAPtdZHbuGxewILtNa7xr/fGbgbs9f0MWaiRFBrfeYWmmFs+OSTLTV1UO55s5ralig3HGHPssrPL2nkic8auPf48sTKFz1ZVtXG716p5oIfFjOtfOgVObNCUVERdV3f6IQYpH3mzOGhu+5iwtixmW7KoAz29TF6111hoGvxJROEtmA54FZKTdRat4+zTQe6jy105wYmdGjLF3QYGoyvrj7Y9qWEz+UkZOPsm5ZQDLcTPK6+lzEaN9KLywHfVAclQAkhMqbXAKWUOkpr/fSWTpDMcVrrFqXUE8BNSqmzgBnAbGDvHs43F3gbWIu5jNItwKsd9u+MGfCcwLnAGOD/ttTOdPC5HQRtXA8qEIqR7XV2qwXVlc/tZLsiLys2hvo8TgghrNRXD+oEpdSvgb8Bb2KuVt6Eed9oB8xezMnAZ8AWAxlmMPkL5j2kWuAcrfUSpdR2wFJgitZ6DTAFuBUoBDZhlvO4qsN5TgHOAjyYgexQrbUtKnB53Q5CEftm37TGA1QyKkq8vL68mXDU2GKPSwghrNBrgNJan6SUmgb8HHMe1HjMxWEBVmIGjuO11skM06G1rgOO7mH7GjqskK61vga4po/zXA5cnsw1083rdhCMGBiGscVeSia0hg38niQD1CgfL3/dzHd1ISpKZMKuECL9tlRR90vgPEiU2xgB1GutW61v2tDjczuJGRCNgduGVdNbQzFyku5BmUFpxcagBCghREYkPV05HpQkMPXB5zZ7TcGIgduGw2KtoRglucn9yfOzXJTmuVlRY4vRUyHEMNSvku9DnBHabbdOGwKHHEJAKQgEKLrwwm4PCPzkJwSOOgrHpk0UXnFFt/2txx5L26xZODdsYMT111MfiFLVGGb7Yh8el4OWk08muP/+uL79loJf/7rb45vPPJPQHnvgXraM/Ntv77a/6Re/IDx9Op7PPyfv3nu77W+89FIikybh/fBDchcu7La/4eqriY4bh++tt8h55BFWVAfJ8zkpzTfncNTfdBOx0aPJeuklsh9/vNvj71NX8UG9lwXexeQ880y3/XW//z34/fi1xv/KK933329OQct+6CGy3nmn0z7D52PT3XcDkPPnP+P7z3867Y8VFFB/m1kLM/fuu/F2mfAXHTWKhptvBiDvd7/Ds3x5p/2R7baj8dprAci/+eZuc3XCO+xA02WXAVBw7bW4ukzmDE2bRvP55wMw4vLL8ba0dFofLfiDH9Dys58BUHj++TiCnQN527770nrqqQAUzZ/f7XeTzHNvxe6788S//sUNn3/ebX/X515XdnvudbWl596mW2/FKCzE//TT+Lfi596B++/Pk+PHs71v8yhF1+ees8tE4HQ89/rzvgfmShjtr4+BPPe8H38Mgy35LvrWPnhmBn179aAMwzAr5fbj3tj2Iz28UhWjMRolx8K2CdMuS5awtH1Fiw4z+Lu+xKdkZfHuscemr2EiZXZZsoSlixfDY48ltk3+7387H7R4MZPefps3tE5z6+xnWPWgrJ6o++naVha8Vcu1h5cytshr6bX6KxiJcd4/1vHTGQUcPjU/qcdUNYa59t8bOGWPQvavyN3yA7ZimZio+8Gnn/Kbe+7hqR56KELYiVUTdZNdzVwkwRdfncGOqeatIXN+VrJJEgCj8tzk+Zys2Cj3oYQQHUSjOFqtT0noa6LuWjanlfdKa71dSls0hHkTSRL2m6zbGjL/lP5+BCiHw0HFKB8rqiVACTHkhcPgdoPDYa6BuGYN4V13BYcDzxdf4P34Y1rmzQOHg6yXXsL3xhs0xO8h5Tz4IFkvvkjto2YJv7zbbsP/8stsfPXVvq44aH29W52MOSn2FOAPmIu7/g/mJNn/wZxE+3tLWzfEtGfx2bEHFYj3oJKdqNuuosRHdXOU+oB9CzEKMSxEo4mFYZ11dXjfey+xEK37q6/Iu/12HPGECt8bbzDylFMSK7Fn//3vjN5zTxxNTQBkPf88I+fPTzze+/HHZjJMfGFaZ00N7m++SVwvWlJCpKIi0ZTgD39I81lnWf4j9/pupbV+s/0fcDpwmNb6z1rrl7TWfwZ+DMyzvIVDiNe1Oc3cblraA5Snf8kbE0vMe2krpRclROqEw7jWrsURL8XhrK4m+9FHccZLh7i//prC887DvXIlAL6336Y0nvkG4Pn0U4rOPz+xUrx77Vr8ixYlMv4Mr5dYYSGOeGZdaNo0ms45xyxRAgQPOYS6++7DiK/K3jJ3Lhvee88scQK0nnQStf/8J8RXZW874ggabrop0fzQnnvSeuKJ1v1+4pL9OF0GdC2x2gyUp7Y5Q1viHlTUfgEqEB5YD2rbIi9el4Nv5D6UEL0zDBzNzYkeiaO5Gb/WuOO1slyVlRSdfjreeH0m94oVlBx9NN54PSZXVRX5t9+Op0NtLUdjI8RTyCPjxtFy5pnERowAILTrrtQuXEh0m20AaDv0UDa+/TbR7cw7LqG992bTH/5ArLjYfPzUqbScdRZGjpmPGy0rI7T77hAPUPh85j+bSTbN/GngaaXUzcD3wLaY6+MlswafbXi6zCeJlZQQLSsz66J0TfUEoqWlxEaPNuuiLF3afX9ZGbGSErMuyrJl5IVj7FhZQ/7SXDyt2US32YbYyJFmXZQuxRLBnC9hFBaadVHin5Q67R83ru+aPBMm9F2TZ+LERE2e7P8uZ8fKZoqW1eCJB6nwpEl91+SZMgW3x8MMdwPRxcvxeDpX2A3vtFPfNXmmTwf6qMkzbZq5v7eaPPGibr3W5IkXdeu1Jk+8qJt7+fKe60HFi7q5v/qq53pQ48eb+5cuxeH34+lYD2rECKLxEgmeL7/sXpOnqIjottua+3uYx5TMc89sqNHj47s+97rtt9Fzr8d6UEk89/qsB5WO555h4PrmG5yBAMRieBYvJlZaSqSigsj48Yy4+mpCu+xCeOedcTQ1UXThhbSceCKBo44iNnIkBbfeSvO8eQT3288MNtEo7tWriY0aRXTbban/1a8w3G7z7xuJUHf33Rh+P67Vq4nsuCN1Dz2Ee+nSxN8/uPfeuDZuxBEKER07lnBhoWXPvf687wE48vMTr48BPffMLL5ukg1QZwO/Av6I2ZuqBP4J3Jjk420hVlTU+fuSEvMPEY0S6+FFktgfChHbsKH3/YEAsepq3AZADSFvFrGiImKjRhErKcHR0kKsa9VOzMqXsZEjcTQ1Edu0qfv5R40y/5A+H7Eub9AAsdJSjLw8nB4PseauHdz4/pwccLkIuNcAzXhGjSTmdCT24zfLaTi6VJRN7Pd6GbdtJV+urqQtf0SnOlKx0aPB5TILqkW736OKjR7d67lxuTbvb2lJDCUkeL2J/c6mJmLuLk/VrKzE/lhDAw5v57R+Izt78/7a2m4ZR0Z+fmK/UV2N0UNF3cT+qirIzu7UhlhR0ebzV1Z2+/kTzw0gtnZttx8/meeeEQyCx9Ptedvp8fHnXrf9Nnru9ZTtlexzj2i0W8E+SNFzzzBwbNqUeO75//1vYqWlBPfdl1hpKaN32onArFm0nnQSAHl//jOtRx5JeM89iY0dawY+t9v8+xQW0nz66YR23pnYyJFEJk9mw6ef4tywwZxIW1SUSDgw8vOJVlTQWlFhBpgtPPeMrh+e0vDc68/7HgAjRiReH4N97nU0rOZBVfbwx0i1X9z1MQfvWspP99/W8mv1xz/fWMNbn1dz94Uz+/3YJd828Id/LeeiY3dg8tgCC1pnf8XFxdTU1KT1mh9++CG//e1vefLJJ9N63a1KOJwYxvI//jg4HASOOQaAkkMPJTxxIvULFgAwap99CP3gB9TfdRdgriIRnjqV4EEHAeD+5huio0ZhFAzP10BfBvv6KDNLvg98JQml1KHACcAorfWRSqndgHyt9WsDbtVWyOt2EgzbL808EIySnTWwFWy3H5OLwwEr1jUP2wAlbCoSMVOnAd9LL+Fav57W08wC4EWnn46jvp7aRYsAyP7HP8AwEgGq9cQTiY7cPGxd/corGP7NBTrblxtKXGriRCt/EtGDpAKUUup84ELgAaB9jZUAZvp5t6KDw5nX4yRsx3lQwSjZvoGtbOX3udimOJsV67oP5QhhqVgsMQTnff99PJ9/TsvZZwOQf911ZL38Mhs/+AAA/7PP4v3oo0SAChx+eKd7j3UPPtgpALWccUanS3XcJ+wh2ZSui4BDtNa/Bdrffb8GJlnRqKHM53HZsgfV2hbB7xt4DZAJ5bmsXt9MNDZshoRFmrm/+orcu+9O3FPJXbCA0RMnJr73vfkm+bfeavaaMDPVWk84IfH4hl//mo3vvpv4PnD88bSefnrieyM7G2xYp030LtkAlYdZgh02ry7hAaQmeBdej5Ng2H6TWlsHMcQHUFGeSzAc4/tqqbgiUsP91VcU/PKXOOJZdt5PPiH/t7/FGV9ZPjR9Oi0/+1kiw7L5/PNZv2xZYkiv7fDDab7oosT5jJyc7sk2YkhL9q/5FnBll20XAK+ntjlDn8/jJGTDHlRgEEN8ABXleQCsWNeUqiaJYca1ciVFp52G54svAHDW1+P/978TaeyB2bNZ//XXxMaMASC0zz40XXllYujNyMlJTCQVw0OyAep8YI5S6lsgTym1DDgOuMSqhg1Vdk2SaA0OboivMM/LyHyv3IcSfTMMiPd4nNXVFB92GP4nnjB35eaac9riPabQ7ruzYckScz24+H4jLy8z7Ra2lFSA0lqvB34AKOAk4DRgD6119yT5Yc7rcRKyWZJEzDAItA1uiA/MXtSKdc0Mo6kJYkuCwc0TZSMRRu2xB3l33AFAbORIcz5VfPWCWGkp1W+9RfCHPzSPd7lkSE70qT/PDjfgA5xa6w8Av1JK6th14fO4bDfEFwxFMWBQQ3xgJko0toSpaZBlj4YrZ1UV7g6rD5TMmkXBNdeY37jdBI45hlD7qgBOJ3UPPUTbj36UgZaKrUGyaebTMJc1CgLbAP8ADsDsSR1vWeuGIJ8NkyRag2Z7sgcxxAdmogSY86FKRmQNul3C/tzLl+Nevpy2n/wEgBGXXIKrqorqeJn15osu6rTSRVMPJcKFGKhke1D3AddrrXcE2tcdeRPY15JWDWEeGyZJtLaZAco/yCG+MSP9ZPtcch9qK+b58kty77zTvJcEZD/yCCMuuihRhqHpkkuov+22xPGBOXMIHnBAJpoqhoFkA9RU4JH41waA1roFkJltXbRn8dnpPk1r0Jw3MtghPqfDwYTyXFZKJp/l1t3zIO5TzsD70Ud4p+zCunsetOQ6ni++YMRFF5mLmQKexYvJu+uuRKp3y89/zsY330wsFxSeOZPwLrtY0hYhuko2QH0LdFrETSm1O7Cix6OHMZ/bhQGEbVQTKtCWmiE+gIqyPNbXtdHc2n0BT5Ea6+55kGm33ciIlnoAihs2Mu22G1MSpNzLllF04omJ+0iO+np8r72GK74ieeC448xU7/hq6tHycmLlUlVHZEayAeo64Fml1I2AVyl1FeZq5tda1rIhyuuJ14Sy0X2oxD2orMH1oGDzfaiVlTLMZ5XxC+4iK9I5ESUrEmT8gruSO4FhJFbIdq5fT8nBB5P11FMAxHJzcdXUJArbhfbdl6rPPyey007mQ3NyEquMC5FpyaaZPwMcDpRg3nsaC/xUa/2ShW0bknzxABW0Uap5+xDfYOZBtRs7Oge3yyH3oSxU1NC9fEZf2x0tLTjbyyIEg5TOmGGW78YsjRAZOxYjP9/8vryc6pdfJrTPPubxTqcs/yNsK+mP1FrrT4BzLWzLVqG9B2WnybqJJAnv4AOUx+1kbGmOrChhka++a8CdV8yopu7BqK6gBADX99/jrK1NFOUrOeggQjNnmmUjfD5aTz55c6q3282mv/wlbe0XIpWSTTP3Yg7nncjmgoV/B27RWvdQEWz48nrMIGCnTL5AfBUJpzM1n5QnlOfy6uIqQuFYIiCLwYlEYyx6Zx0vf7yBww4+lTOfuQc6DPOFnG5Wn3sR5Zip3o7GRmpeeAGAxquvJjZqVOLYpssvT3fzhbBEsj2o+zBXLr8A+A5ziO8qoBw4o4/HDTs+m96DSkWCRLuK8jxe+s8GvqtqYeI2sjTNYG2oC7Dw2VWs2djKAdNL+MkZZ7LGvZHG5/+Ns6WegNePlxjl55wMQONVV2H4fInHt82enammC2GpZAPU0cAErXV9/PulSqkPMbP4JEB14LPpEF8q7j+1m1DWPmG3SQLUIBiGwbtf1vCP19fgJ8qXT1zGM3espGv/JzsUr2m03XYATJo0iddekzqhYuuXbIDaAGQD9R22+YH1qW7QUOd1t/egbBSggpFBz4HqKNfvZszILEmUGISWQIRHXv6WT77ZxEHOjVxw/2XUL1hA8MADcdbU4F69mtDMmYm16nw+H9FolFgsRixmn+eWEFZK9l3rYeAFpdTdwPfAtsAvgIeUUge1HyTl3+2ZJBEIRikZ4dvygf1QUZ7Hx8vqiBkGTskC65flq2pou+x6RhSN56c/P5lDp02jrfInREvMJIhYcTGh4uJOj4nFYjjiv2e3241hGESj9hlGFsIKyQaon8f/v7rL9rPj/8BcYWL73k6glCoCFgKzgBrgKq31oz0cdwJwIzAac+2/54HztdaN8f3jgAXAXvH9jwMXaa0jSf4slvK1J0nYKs08ij+FPSgw50O9/UU162sClJdkp/TcWyPXihU4v/uOf/om8cKH6/n990vZaeoYnD8wax81dFg+qCeRSASn04nL5SISidhqpRIhrJLUu5bWenwKrnUvZgXeUmAG5sTfz7XWS7oc9y6wj9a6RimVC/wJuBkzQQPM4LQRGAOMAF7GTH//QwraOGibe1D2+XTb2hZJaZIEdCxg2CwBqheOTZswCgsByLrpZmIff8bzZ9zPPtNKMM59Cac/+eJ7hmHgcDgIh8O43W4Z6hPDwoA+ViulDgQiWuu3kzw+BzgG2Elr3Qy8o5R6GjiFLpV6tdZruzw8ClR0+H48cE88vX2DUuoFzLUCbWHzShL2ePOIxgyC4diga0F1NTLfS0GOhxXrmjhgxqgtP2CYyf6//6PgxhvZsHgx762P8cb2PyU05WTmH1XBzB2KtnyCHrQHpEgkgsvlwuVyyTCf2KolOw/qTeBqrfW7SqkrMCvpRpRS92qtf53EKXYAolrr5R22fY5ZsqOn6+0LPAvkA63AnA67fw+coJR6AyjEXOHiul7OMx+YD6C1prjLuL5VvG4nTrcvbdfrS1OLWd20pKgg5e2Zsv1IVqxtsMXPaTW32933z/n997iuu47oL38JkyfjOOII2loD6LfW88rKVqbsPIWr1HSKR6RuGaH2YT+nFP0TGbbF18dAz5vkcTsBH8S//hnwQ6AZczgumQCVCzR02dYA9JijrLV+ByhQSpXHr/dth91vxrc1Ai7gQWBRL+e5H7g//q1RU1OTRFMHz+N20tDYTLqu15fqenMedSzSlvL2bFfs5f0vAyxftY6i/NQmYdhNcXFx99+fYeBobMQoKKDqDwuZ/thjuB99lLqCUXx26i94ZOTebFrVyux9yjls9zEQaaGmpiUzP4AQFurx9dEPZWVlPW5P9qOXEzCUUhMAh9b6q/hQXGGSj2/G7A11lA/0uV6O1nod8ALmqhUopZzAi8ATQA5QHG/DrUm2Iy18Nir73pLClcy7Gu4Lx448/ngKL7yQdfc8yOR7b8dpGDgxVx/f975fM/PTV7n8hMkcsWdZylbxEGI4STZAvQPcA/wOeBIgHqySDZnLAbdSamKHbdOBrgkSPXEDE+JfF2GmuN+jtQ5qrWuBvwJHJNmOtDCr6tojQAXaa0GlYCXzrspLsvF5nMNmPpSjoQH/P/6RKOYXmD2bwI9/3Ovq4ye+8RDbxyc1CyH6L9l3rdOBS4Fq4H/j23bEvB+0RVrrFqXUE8BNSqmzMLP4ZgN7dz1WKTUXeBtYC2wH3AK8Gj9PjVJqNXCOUup3mEOHp2Hez7INr42q6qaq3HtPXE4H25flDpuFY/1PPcWIq64ivNNORKZOpXXuXKLRGOUXXdzj8UUNNWxIcxuF2Jokm2ZeS5c5UFrrZ/t5rXOBv2CmiNcC52itlyiltgOWAlO01muAKZhDdoXAJuA5zHX/2v0UuAu4AjPD73Wg53eIDPF6XPbpQbWvZG5BgAJzmO+Z9yrjC9KmvpeWSY76egquuYa2n/wETjmFwHHHEdp1VyJTp9IciPDOF9W8/lkVt29h9XErXHLJJbzyyisUFxf3uuzRe++9xw033EAkEqGoqIh//etf1NbWcuaZZ9LY2Mgvf/lLDjvsMADmzZvHb37zG0aPHm1Zm4Xor7S9o2it6zDX9Ou6fQ1mT6j9+2uAa/o4z2eYSRq25fM4abJJxdkWC4f4ACaU5WEAKytb2Gl8gSXXSKtYDOf69cTKyzHy8nCvXJkof274/awZM4HXXv6WD5bWEo7EmLxdPp+c8gt+eP9vOg3ztbl9idXHraCUYt68eVx44YU97m9oaODqq6/mb3/7G+Xl5Ykb2IsWLeK4445j9uzZzJ07l8MOO4yXXnqJadOmSXAStrN1feS1CTsN8QWCUZyOzYvYptr4MTk4HbCysmmrCFAjLrwQ7yefsPGtt8Dloub554kBXy+r5snXl7P0u0bcLgd7ThnJQbuUxicpT+LLAi/jF9xFUUM1dQUlZnA67zTL2rnnnnuydm3XKYObPfnkkxx++OGUx8u1t6cAu91u2traCIVCOJ1OIpEIDzzwAA8+OPhy8kKkmgQoC9gpScJcydydWMct1bK8LgrzPLz0nw0898F6ivK8HL1fOXtMHhpzoxybNpHz2GO0zJuH4ffTqhTBAw8Ew6AtFOWDpbW89kkVVZvaKMjxMHufcvbbuYS8bE+n85Sfdxqh805L3HOyqueUrFWrVhGJRDj22GNpbm7mzDPP5LjjjmPOnDn84he/4PHHH+fqq6/mwQcf5Nhjj8UvZd6FDfUrQMXTvEu11rKKeR+8bvsEqEAwkvJVJDr68KsaNjWFicWXhqtrCvHIS98B2DtIGQY4HHiWLyf/llsIV1QQnDWL0H77UdcY5PV31/POl9W0BqOMLc3mouOnM3GMG7draEyKjUajfPHFF2itaWtr48gjj2TXXXdlwoQJPPzwwwDU19ezYMECHnjgAS6//HLq6+v5+c9/zm677Zbh1gthSnYliRGYa+AdC4SBHKXUUcDuWutrrWve0OT1uAhF7LEEjblQrHUBatHb6xLBqV0oEmPR2+vsGaAiEQrPO4/wpEk0X3wxod13p+rNN4lMmMDKdU28+kkVn32zCYBdJhZy8K6lbF+WS0lJiS0mXidrzJgxFBUVkZ2dTXZ2NnvuuSdLly5lwoQJiWPuvPNOLrjgAhYtWsS0adOYM2cO8+bN4/HHH89gy4XYLNmPg3/EXPlhLOaCrwDvA8db0aihzudxEo4YxGyw4nRrW4QcC7Pr6ppC/dqeKc66OvMLtxvD6wWPOUQXiRm8Fy7kN39bym1//5qvv2vkkN1Gc8tZOzP/yAomlOdZNjxqpR/96Ed8+OGHRCIRAoEAn376KRMnbp6GuGrVKqqqqthrr70IBAI4nU4cDgfBYLCPswqRXsm+cx0MlGmtw0opA0BrXa2UklVCe9Bxwdgsr3W9l2QEglFG5CW/anZ/FeV5ewxGfp+LtlA04z8/QPbDD5N3/Q00+HIZ0VRHXUEJy8bvwtIPKnnzs400tIQpLczipEPGsueUkYmSKXZ27rnn8v7771NXV8fMmTO57LLLCIfNzNFTTz2ViRMncuCBB3LIIYfgdDo58cQT2XHHHROPv/XWW7niiisAOProoznjjDNYuHAhl112WUZ+HiF6kmyAasBcVihx7yk+f0nuRfUgURPKBgGqJRi1ZJJuu6P3K+eRl77rtLSTw2EGxqv//DkHzxzNQbuMSv8cqUgERyCAkZfHd9/VMDUcoShUC5hLEeXe9T+8v6SW8sOP5NQfjWfKuPwhVXhxwYIFWzzmnHPO4Zxzzulx35/+9KfE18XFxTz99NMpa5sQqZLsu8YDwL+UUtcATqXUXpiLxP7RspYNYe1l382aUJ6+D7ZYIMXl3rtqv8+06O111DWFEll8pYVZPPN+JU+/u45XPt7AQbuWcvCupZbNx+okEqH4yCOJ7LAD9b//PeWPPojb6HxPMCsS5LT3HiH8gPQYhLCrZN8tbgXaMIsOejBXhPgTSS51NNz4bFITKhyJEY4Y+C3M4gMzSPWUEHHenB1YU9XCM+9X8sz7lbz6SRUH7WIGqhx/6gOVo6EBo6AA3G42HnYUyxwFPPXoUu5q6Dm5YaQsRSSErSW71JGBubzQXVY2ZmuRuAeV4RXNA4l1+DI33W270hzOPXoiaze28uwHlTz7QSWvfrKBA3cp5ZCZo8lNUaDyvvUWhWeexRPX3svLxmjWR8xU6e1iBrX5xZQ0pncpIiHE4CX97qCUGgfsTIdliQC01o+muE1Dni9R9j2zAaq1Lb7MkYX3oJK17ahszj6qgu+rW3nug0pe+HA9r31SxYG7jOKQmaO7TXxNRjQaY/U3VSyuDPH1Eg/HbL8Xz68OUzjFw/47j2JGxQiK8n18W38xebfdmNaliIQQg5fsPKirgOsxy2MEOuwyAAlQXXjtEqDae1AWD/H1xzYl2cw/soLKmgDPfVDJix9t4PVPN3LA9FEc+oPR5G8hUIUjMZZ+18hn32xi3zuupai+mrdOvIUp44ppuP13XLn9CHJ7WOXhS0jrUkRCiMFLtgd1KTBTa73UysZsLbyJLL7MTtZtD1B2XGW8rNjPWT+ZwI/3KuO5Dyt5efEGXv9sIwdML2Hmp6+y45//kAgm38y/kKofHcmnKzaxctkGGvCS5XMzefd9KMyOcPvZ08ny951Kb7eliIQQW5bsO1ctncuuiz7YJUkiUazQBkN8vRkz0s+ZR0zgx3uW8fyH6wk/otnt5QWJ4bjiho3k3nkT9/y3hpZxk/jT365mxRU3UHjKT3G7ds1w64UQVko2QF0E3K+UuguznlNCvFyG6MDntskQn4Xl3lNtdJGfeYdvj+fSR3qsTnvae48QvO8/OGpfo2zmJMJDZE08IcTAJRugvMAs4KQu2w3A/u9+aebtMFE3k1otrgVlhZG9poRXs8Hjof7OO9PcIiFEpiT7MXQBZkXdfMx5UO3/rFtDZwjzuB04gGCGF4xtDUZxuxx43EOnt9Fb6nddvqSECzHcJPvR2g38VWttjyW6bc7hcOC1QU2ogMXLHFnh2/m/oPB3N+IyNv/u2tw+Vv/iYklsEGKYSfaj9e+AK5VSQ2exsgzzepyEMz3E1xaxZQZfX8ouPJOGHafSkpVLDAc1BaP48vIbJCVciGEo2XevC4DRwNVKqdqOO7TW26W8VVsBn8eV8R5UazBqqzlQvTIMsh9+mLYjjiBWXEzby8/T5nDQEN8tPSchhqdkA9TJlrZiK2QO8WV2RDQQjJIzBBIkXGvWUPCrX+GsraX54ovN5dCFEMNesmvxvWl1Q7Y2XrfTFll8JQW+jLahL87164mNGUN07Fiqn32WSId6RUII0Z+1+GYA+2HWhUp8xNVaX5/6Zg19PhskSbS2RS1fyXygfG+8QdG8edQ+/DChffclMnlyppskhLCZpJIklFLzgXeBg4ArgGmYyx9VWNe0oc3rcWZ0NXPDMMx7UDZNkgjtsQctp59OeNq0TDdFCGFTyWbx/RI4TGs9BwjE/z8WCFvWsiHO53FldIgvFIkRixm2SjP3fvQRhfPnQziM4ffTeMMNZv0mIYToQbIBapTW+u341zGllFNr/TxwpEXtGvK87swmSbQvc2SnIT7nhg14lizBVVWV6aYIIYaAZAPU9/F6UADLgdlKqf2AkCWt2gp4PZlNkmhf5ignw0N8zpoavO+9B0DbUUex8bXXiG6zTUbbJIQYGpJ99/pfYDLmiuY3AY9jLnN0gTXNGvoynSQRaO9BZXiIr+CKK/AuXkzV+++D3w8++2YVCiHsJdk08//r8PXzSqlCwKu1braqYUOdz+MiGjOIRmO4MrDydkaLFUajEImAz0fjjTfiaGw0g5MQQvRDrwFKKdXXu2oEiMTvRWU2l9qm2qvqhiIx/BkJUOYQX9qXOopEGHnyyUS23ZaG226T4TwhxID19e4VwSyn0RsHUm6jVx3LvvszMKrVniSRk+4hPreb4B57EC0rS+91hRBbnb4C1Pi0tWIr5PNktmhhIJjGe1CxGHl33EHgiCOITJliLlckhBCD1GuA0lp/p5QarbXekIoLKaWKgIWYhQ9rgKu01o/2cNwJwI2Yi9MGgeeB87XWjfH9Xe97+YEFWuvzU9HOVPFmuOx7azCCz+NMy/0vZ3U12Y8+iuF00jxliuXXE0IMD1t691re8Rul1BODuNa9mGnppcBc4D6l1NQejnsX2EdrXQBsjxlEb27fqbXObf8XP1cA+Ocg2mUJX6KqbmbmQrW2Ra3vPUXM+1yx0lKqX35Zek5CiJTa0h30rstK/3AgF1FK5QDHADvFM//eUUo9DZwCXNnxWK312i4Pj9L7kkrHAhuBt3vZnzE+d2aH+FqDEUtLvTsCAQrPOIPgAQfQcvbZxEaOtOxaQojhaUvvYH0lSfTHDkBUa92xR/Y5cEBPByul9gWexSwx3wrM6eW8pwEPaa17bGd8DcH5AFpriouLB9b6AWgMegDw+XPTet12kdhKCnKzrLt2NIqrrAz32LH4M/DzpZvb7c7I31GIocCq18eWApRbKXUgm3tSXb9Ha/1aEtfJhUT9uXYNQF5PB2ut3wEKlFLlwM8wJwh3opTaDjPAndnbRbXW9wP3x781ampqkmhqarS2BACoqaunpib9iY4NzW2MyPWQ6p/ZWV2N4fFgjBgBv/udWbspjb/XTCkuLk7571KIrcVgXx9lvWT9bilAbQT+0uH72i7fG5j3ibakGbM31FE+0NTXg7TW65RSLwB/B3btsvtU4B2t9eokrp92m+9BZWiIry1C2cgUT46NRBh54onEioupfewxKSwohLBUnwFKaz0uRddZjtn7mqi1/ia+bTqwJInHuoEJPWw/FfhtitqXcpvnQWUmSSJgRbl3t5umyy4jVlQkwUkIYbm0LDOgtW6JZwDepJQ6C5gBzAb27nqsUmouZtLDWmA74Bbg1S7H7A2UY8PsvXZed+bSzGOGYQaoFK0i4V66FGdNDaH996ftsMNSck4hhNiSdK6Dcy7m8OBGzKHCc7TWS+L3kpYCU7TWa4ApwK1AIbAJeA64qsu5TgOe0Fr3OUSYSW6XA6cjM1l8bcEoBimapGsYFFx/Pc6NG6l+7TVw27MAohBi6+MwjFQl6tmeUVlZmdYLXnj3J+w9dSTHHzQ2rdetaQhyzQNfcOqscewzrWTQ53NWV+MIBof1unqSJCFE71KUJNHtvkH6VzEdRnwZKvseSKxkPvDeTtaLL1Jw9dVgGMRKSoZ1cBJCZIYEKAtlqiZU+0rmgyn37vnySzxffIGjtTVVzRJCiH6RAGWhTFXVbR1EsUJHs7nUYdOll1Lz+OMYOTkpbZsQQiRLApSFvO4M96D6OcSX88ADlBx6KM7qajONPCvLiuYJIURSJCXLQj6PKyPzoBL3oPrZgwr94Ae4ly8nNmKEBa0SQoj+kQBlIa/HSVMgnPbrtrZFcQBZyQSoWAzvf/5DaI89CE+fTsP06Za3TwghkiFDfBbyZjBJIsvnwpnEag85DzzAyGOOwf3f/6ahZUIIkTzpQVkoU1l85ioSyQ3vtZxyCrGRI4nstJPFrRJCiP6RHpSFvB5XRgoWtrb1vcyRo7WVvN/8BtrawO8ncMwxaWydEEIkRwKUhXzxNPN0r9bRGozg72OhWO8775D7xz/i/c9/0tgqIYToHxnis5DX4yRmQCRq4HGnb/Xv1mCUUSN8ve4PzprFxnffldUhhBC2Jj0oC2VqRfNAW6THIT7fG2/g+eILAAlOQgjbkx6UhdqLFgbDUXL86ftVtwaj3Yf4YjHyb76ZWF4etU88IfWchBC2JwHKQj5P+ntQ0ZhBMBzrnsXndFL7979DKCTBSQgxJMgQn4Xaq+qmc0XzQFv7QrHxzx7RKP4nnzRXJS8uJmYuay+EELYnAcpCvkTZ9/QFqNZEqQ2zB+X/978pPO8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" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" }, { @@ -1465,14 +20577,14 @@ ], "source": [ "# Reset the gas\n", - "gas.set_equivalence_ratio(1.0, 'CH4', {'O2':1.0, 'N2':3.76})\n", + "gas.set_equivalence_ratio(1.0, \"CH4\", {\"O2\": 1.0, \"N2\": 3.76})\n", "gas.TP = To, Po\n", "\n", "# Create a new flame object\n", "flame = ct.FreeFlame(gas, width=width)\n", "\n", "flame.set_refine_criteria(**refine_criteria)\n", - "flame.set_max_grid_points(flame.domains[flame.domain_index('flame')], 1e4)\n", + "flame.set_max_grid_points(flame.domains[flame.domain_index(\"flame\")], 1e4)\n", "\n", "callback, speeds, grids = make_callback(flame)\n", "flame.set_steady_callback(callback)\n", @@ -1483,12 +20595,12 @@ "flame.solve(loglevel=loglevel, auto=True)\n", "\n", "Su0 = flame.velocity[0]\n", - "print(\"Flame Speed is: {:.2f} cm/s\".format(Su0*100))" + "print(f\"Flame Speed is: {Su0 * 100:.2f} cm/s\")" ] }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 14, "metadata": {}, "outputs": [ { @@ -1541,14 +20653,1514 @@ }, { "data": { - "image/png": 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" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" }, { @@ -1611,7 +22223,7 @@ " \n", " 67\n", " 0.111825\n", - " 22.012257\n", + " 22.012258\n", " 27.776320\n", " \n", " \n", @@ -1643,7 +22255,7 @@ "31 NaN NaN \n", "42 5.935871 31.438978 \n", "53 0.519098 12.655752 \n", - "67 0.111825 22.012257 \n", + "67 0.111825 22.012258 \n", "85 0.298172 6.420185 \n", "113 0.975078 1.057040 \n", "142 1.867447 3.323424 \n", @@ -1678,7 +22290,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 15, "metadata": {}, "outputs": [ { @@ -1687,7 +22299,7 @@ "{'ratio': 10.0, 'slope': 0.8, 'curve': 0.8, 'prune': 0}" ] }, - "execution_count": 17, + "execution_count": 15, "metadata": {}, "output_type": "execute_result" } @@ -1696,13 +22308,13 @@ "flame = ct.FreeFlame(gas, width=width)\n", "flame.get_refine_criteria()\n", "refine_criteria = flame.get_refine_criteria()\n", - "refine_criteria.update({'prune':0})\n", + "refine_criteria.update({\"prune\": 0})\n", "refine_criteria" ] }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 16, "metadata": { "scrolled": true }, @@ -1904,14 +22516,1127 @@ }, { "data": { - "image/png": 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" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" }, { @@ -1961,14 +24778,14 @@ } ], "source": [ - "gas.set_equivalence_ratio(1.0, 'CH4', {'O2':1.0, 'N2':3.76})\n", + "gas.set_equivalence_ratio(1.0, \"CH4\", {\"O2\": 1.0, \"N2\": 3.76})\n", "gas.TP = To, Po\n", "\n", "# Create a new flame object\n", "flame = ct.FreeFlame(gas, width=width)\n", "\n", "flame.set_refine_criteria(**refine_criteria)\n", - "flame.set_max_grid_points(flame.domains[flame.domain_index('flame')], 1e4)\n", + "flame.set_max_grid_points(flame.domains[flame.domain_index(\"flame\")], 1e4)\n", "\n", "callback, speeds, grids = make_callback(flame)\n", "flame.set_steady_callback(callback)\n", @@ -1979,12 +24796,12 @@ "flame.solve(loglevel=loglevel, auto=True)\n", "\n", "Su0 = flame.velocity[0]\n", - "print(\"Flame Speed is: {:.2f} cm/s\".format(Su0*100))" + "print(f\"Flame Speed is: {Su0 * 100:.2f} cm/s\")" ] }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 17, "metadata": {}, "outputs": [ { @@ -2016,14 +24833,1462 @@ }, { "data": { - "image/png": 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"outputs": [], "source": [ - "refine_criteria = {'ratio':3, 'slope': 0.1, 'curve': 0.1}" + "refine_criteria = {\"ratio\": 3, \"slope\": 0.1, \"curve\": 0.1}" ] }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 19, "metadata": { "scrolled": true }, @@ -2294,14 +26559,1014 @@ }, { "data": { - "image/png": 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" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" }, { @@ -2457,14 +32136,14 @@ ], "source": [ "# Reset the gas\n", - "gas.set_equivalence_ratio(1.0, 'CH4', {'O2':1.0, 'N2':3.76})\n", + "gas.set_equivalence_ratio(1.0, \"CH4\", {\"O2\": 1.0, \"N2\": 3.76})\n", "gas.TP = To, Po\n", "\n", "# Create a new flame object\n", "flame = ct.FreeFlame(gas, width=width)\n", "\n", "flame.set_refine_criteria(**refine_criteria)\n", - "flame.set_max_grid_points(flame.domains[flame.domain_index('flame')], 1e4)\n", + "flame.set_max_grid_points(flame.domains[flame.domain_index(\"flame\")], 1e4)\n", "\n", "callback, speeds, grids = make_callback(flame)\n", "flame.set_steady_callback(callback)\n", @@ -2475,12 +32154,12 @@ "flame.solve(loglevel=loglevel, auto=True)\n", "\n", "Su0 = flame.velocity[0]\n", - "print(\"Flame Speed is: {:.2f} cm/s\".format(Su0*100))" + "print(f\"Flame Speed is: {Su0 * 100:.2f} cm/s\")" ] }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 20, "metadata": {}, "outputs": [ { @@ -2533,14 +32212,1514 @@ }, { "data": { - "image/png": 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" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" }, { @@ -2603,7 +33782,7 @@ " \n", " 67\n", " 0.111825\n", - " 22.012257\n", + " 22.012258\n", " 27.776320\n", " \n", " \n", @@ -2635,7 +33814,7 @@ "31 NaN NaN \n", "42 5.935871 31.438978 \n", "53 0.519098 12.655752 \n", - "67 0.111825 22.012257 \n", + "67 0.111825 22.012258 \n", "85 0.298172 6.420185 \n", "113 0.975078 1.057040 \n", "142 1.867447 3.323424 \n", @@ -2669,17 +33848,17 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "# Tight criteria\n", - "refine_criteria = {'ratio':2, 'slope': 0.01, 'curve': 0.01}" + "refine_criteria = {\"ratio\": 2, \"slope\": 0.01, \"curve\": 0.01}" ] }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 22, "metadata": { "scrolled": true }, @@ -2802,14 +33981,1134 @@ }, { "data": { - "image/png": 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" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" }, { @@ -3175,14 +46623,14 @@ ], "source": [ "# Reset the gas\n", - "gas.set_equivalence_ratio(1.0, 'H2', {'O2':1.0, 'N2':3.76})\n", + "gas.set_equivalence_ratio(1.0, \"H2\", {\"O2\": 1.0, \"N2\": 3.76})\n", "gas.TP = To, Po\n", "\n", "# Create a new flame object\n", "flame = ct.FreeFlame(gas, width=width)\n", "\n", "flame.set_refine_criteria(**refine_criteria)\n", - "flame.set_max_grid_points(flame.domains[flame.domain_index('flame')], 1e4)\n", + "flame.set_max_grid_points(flame.domains[flame.domain_index(\"flame\")], 1e4)\n", "\n", "callback, speeds, grids = make_callback(flame)\n", "flame.set_steady_callback(callback)\n", @@ -3193,12 +46641,12 @@ "flame.solve(loglevel=loglevel, auto=True)\n", "\n", "Su0 = flame.velocity[0]\n", - "print(\"Flame Speed is: {:.2f} cm/s\".format(Su0*100))" + "print(f\"Flame Speed is: {Su0 * 100:.2f} cm/s\")" ] }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 23, "metadata": {}, "outputs": [ { @@ -3212,25 +46660,1157 @@ }, { "data": { - "image/png": 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" + "
" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], "source": [ "# get a new best true speed estimate\n", - "best_true_speed_estimate, best_total_percent_error_estimate = extrapolate_uncertainty(grids, speeds)" + "best_true_speed_estimate, best_total_percent_error_estimate = extrapolate_uncertainty(\n", + " grids, speeds\n", + ")" ] }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 24, "metadata": {}, "outputs": [ { @@ -3325,14 +47905,1542 @@ }, { "data": { - "image/png": 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80XiDtYce2jBBb1zHBm8iIQXKWrsROCARxxIRSVXe1avxrlxJ7UEHAZD51FOkffwxpTfeCEDejTfi//RTil98EYCMf/8b/+LFdQUq1Ls34dzcuv2VT53aoGhsue++BserOO+8Bq+Dw4a1/5uKo0S1oEREdl3R+zzeZctIW7CAqpNOAo+HzGefJeuJJyItFY+HzFmzyH7sscilMo8Hp6oqMjVHdPvKk07Ce9hhdbstnTED0tPrXldMmtTgsIF99knUO0yKFguUMWYl33crb5G1tl+7ZiQikkqqqsDvB58P79KlZLz2GpWnn46bn0/GK6+Qd+ONFM+aRbioiLQPPyT/ppuoOfxwwkVFhPPzCQ4ahFNdjZuVRdXJJ1MzdmzdrivPOaduHiiAwKhRBOofOzMzce8zBbU2mvlZREYwPxu4GygF/gD8PPrvFuCueCcoIhJXVVUQnUDQu3IleX/+M95lywBIe+cdeh56KL4lkdvlvhUryH3gAbxr1gAQ7N+fqhNOqOslVz1uHBtefplw9GHrmqOOovTGG3GzsgAI9elDYMQI8MQ6kUTn1mILylr71rbvjTF/BcZZa1fXWzYbmAM0nV5RRCQFOeXlZD73HLWjRxMcMgTfV19RdMYZbLnlFmqOOgqnooKM116jeuxYQgMGEBw0iPKLL/6+4IwZw7r58yEtDYDg8OGUDx9et383P79BJwTZObGW8V7A1kbLtgK92zcdEZGdEAqR9t57+KKz4jrl5RRNmECWtZF4OEzenXeS9vHHkdV796b8wgsJ7r47AME992TD66/XdWII77YbFT/7WV2vOvz+uuIk8RdrJ4kXgBeMMX8EVgF9genEPgafiEi78GzYgBMIEOod+f9x/m9/S2DECCrPOgs8HgqmTaPqlFMov/xy3JwcAvvsQ6hnTyDSwln/+ut1rRw3O5uKn/88ae9FWhdrgboAuBa4n0hrag3wFHBdfNISkU7LdSOdCqIdBLKeeAKAyjPPBKDwggsIDh5c9yyQEwjgBKJdCxyHzQ89RGhbi8dx6h5Krdu9LsF1GLHOB1UN/Db6JSLSbtI+/BDv2rVUTZgAQMHll+MpLmbzP/5RF8frrStQ5ZddRrigoG77ktsa3gYP7rVXYhKXuIv5OShjzLFERiHvbq09wRizP5BnrX09btmJSMfnunjWryccvcyW/eCDZLz5JpuiLaOMOXNIf+edugJVPW4cTkVF3eYld9xR10sOoKbec0Kya4upk4Qx5pfAfcDXRMbQA6giMnyRiEgdp6SE9LfegmAQgOyZM+l2wgk4VVUAhAYMILDXXhAOA1B+ySVsjI6cAJECVXXKKfV2qDGlO6tYe/FdChxjrb0RCEeXfQkMjUdSItJxeNauJfvvf8dTXAxA+nvv0eXXv8a3dCkQafGUTZ8eGS0BqD7uOMpmzKh7FsjNz28wWoLINrEWqFxgZfT7baNL+IlMPiginYhn3Tryf/c7/AsXAuAtLib3r3+te5i15uCD2TRzJsHoKNjBoUOpOuWUuodVRWIVa4GaR9MOEr8C3mjfdEQkJQQCOOXlQORZoq5nnEHmrFkAuJmZpC1YgGfDhsiqw4ax/o036iauc7t0IbDvvmoVyU6LtUD9EjjZGLMMyDXGLAF+Avw6XomJSOJ4ly+ve7iVcJju48aR8+CDALg5OYT69q3rOefm57Nx9mxqjj46sr7Ph5uXl4SsZVcXazfztcaYA4hMmdGfyOW+D6214da3FJFUlPbee3jKy6keNw6AgmnTCPXsScndd4PHw9bzzyc4aFBkZcepe+ZIJJHaMmKhD0gHPNba94FMY0x2fNISkfaU8cor5N5+e93rrFmz6lpIAGXTp1N+2WV1ryvPOIPaAw9MaI4ijcXazXwk8BXwEDAzuvgI4O9xyktE2siprKz7PvPZZ+l6xhl1Xbl9335L2n//W/e67Le/pTj6HBJA4Ac/IBQdj04kVcTagroPuNpauyfUTVfyFnBoy5uISNzU1uJftAiqqwHIfOEFuh9+eF1X73BuLqG+feseeN06dWrkwdho1+5wUZE6MUjKi7VADQcei37vAlhrK4DOPZuWSII4paVkvvACnrVrAUh//326TpqE/4svAAjstRdbp0ypK0A1xxxDyc03426bHlwPu0oHFGuBWgaMqr/AGHMg8E17JyQi4JSVkXvHHfij00J4SkrIv+460j/8EIDaffdly80313VkCA4eTMWUKXXzFonsCmIdi+/3wMvGmPuBNGPMdCIjnJ8ft8xEOhPXxb9oEU52NgwciJuRQeazzxLabTcCo0YR6tuXjU8/Tah//8jqeXnfd/MW2UXF1IKy1r4EjAe6Ebn31B84xVr7ahxzE9nl1e/YkH/ttXjvvDPyIi2NDW+8QeXEiZHXHk+kE4OmCpdOJObRzK21C4CL4piLSKeSc/fdZM6dGxko1eOh5MYbyRs2rG6QVbze5CYokmQxFShjTBowAziD7ycs/CdwQ3SuKBHZDt/XX5P98MOUTZ+Om5tL7f774+bkQG0tZGQQ3GMPyMuDzZuTnapISoi1BXUfkZHLfwUsJ3KJbzrQG/hZfFIT6eBcF9/ixYS7diXcsydOTQ3pH3yAb+lSAnvvTe2YMdSOGZPsLEVSVqwF6iRgkLW2JPp6sTHmAyK9+FSgROoLBsHnwykpoet551FxzjlsnTqVwPDhbJgzB/z+ZGco0iHEWqDWAVlASb1lmcDa9k5IpCMruPJKXJ+P0j/9CbdLF7bccQeBvfeOBB1HxUmkDWItUI8Cc4wx9wCrgL7AxcA/jDFHbVtJ079LZ+P/5BPS332XrVOnApGpJ9x6nRu2TUEhIm0Xa4H6RfTfqxotvyD6BZERJga2R1IiKct18X35ZaRDg8+Hf/FismbNouKnP8Xt0oWK885LdoYiu4xYp9vQKJLSubkuOA5p8+dT+Mtfsvmuu6g99FAqTzmFSmN06U4kDnboqT9jzFhjzGHtnYxIqnEqK+nyi1+Q+dRTANQecAClM2YQ2GefyAqZmSpOInES63QbbxljDol+/xsiz0D90xjT+JKfSIeX9v77ZLzyCgBuVlZkttiMjEjQ76fq5JO/H4RVROIm1ntQI4D3o9+fDxwJbAXeBf7U/mmJJJDr4l29mlCfPgBkPfMM3mXLqB4/PjKb7C23JDlBkc4p1gLlAVxjzCDAsdZ+AWCM6dLWAxpj9gAWAk9ba89q6/Yi7S37kUfIufdeNsydi9ulC2W/+Q3h/HxNUSGSZLEWqHeAvwC7Ac8CRItV8Q4c86/ARzuwnUi78C5bRt5NN1F+ySUE99yT6iOOIJyTUzeBX7ioKMkZigjEXqDOBS4HNgI3R5ftCdzVloMZYyYSedj3PWBwW7YV2WHhMGnvv4+bm0tg5EjCBQV4N27EEx3zLrT77lRpunORlBNrN/NNNHoGylr7clsOZIzJA64HjgYmt7LeFGBK9BgUagK2pMrJySEtLa3j/R5cF0pLoaAAQiH8119P+OCDCR1xBBQWEn79dXKSnWMzfD5fx/tZi8RJzNNttIM/ADOttSuNMS2uZK19EHgw+tLdrJGdk2rr1q3U1tbS0X4P+VdfjW/JEjb9618A+P7yF4L9+qX8SOGFhYUd7mctsrN6DhjQ7PKEzH5mjNkXOAa4IxHHk87H/8knFFx+eWTqCqB67FgqTz0VQiEgMiU6aWnJTFFE2ihR03MeCQwAVhhj1gFXAKcaYxYk6PiyqwmFSJs/H8+mTQA4VVX4vv4a7+rVANSMHUuVMZr0T6QDa1OBMsZ4jDG77cBxHgQGAftGv+4HXgbG7cC+pDOLtpC8q1dTOHUqGbNnRxYfdBDFzz8fmRZdRHYJsc6oWwDcC5wGBIBsY8yJwIHW2hnb295aWwlU1tvfVqDaWrtxR5KWTigcpnDyZIJDhlA2fTqhfv3Y/Ne/UvuDH0TinkRdDBCRRIm1k8T9wBYiM+kuji6bD9xGZCr4NrHWXtvWbaTzSZ83D/+iRWy96CLweKg5+GDCPXvWxWsPOiiJ2YlIvMX6386jgV9Za9cSmVaDaOune7wSk04oFML/8ceRLuKAf9EiMubOhZoaACqmTKHqxBOTmaGIJFCsBaoUaPB4vTGmH5pRV9pDtCBlzJlD1ylT8C9aBMDWn/2M4mefrRvhQUQ6l1gL1N+AZ4wxYwGPMeZg4BEil/5Edohn40a6nnkmGXPmAFBzxBGU/PnPBPbYI7JCRobuLYl0YrH+9d8EWCLj6PmBvwPP08ahjqT9rXzkOXxH/ZDuo/bHd9QPWfnIc8lOqVUZc+eS8eqrAIS7diXUsyduVhYAbk4O1ccd9/3UFiLSqcU61JEL3Bn9khSx8pHnGHnvzWQEI/doiko3knPvzSwE+k46Kam51QmH8S5fXtf9O+uZZ3C93kgh8ngouf32JCcoIqkq5qGOjDEDgL2h4RBm1ton2jmnBvyffdbgdbhbN0K9ekVuqEfvVdQX6tEj0tMrEMC/eHHTeK9ehLt1g+pq/EuWNI336UO4a1ecykp8X3/dJB7s1w+3SxecrVvxfftt0/iAAbj5+TilpfiWLWsaHzQINycHZ8sWfCtWNI3vsQduVhaeTZvwrlrVJB4YOhQyMvBs3MgeM++pK07bZARr2P2R+wmPOwjv+vVNtx8xArxevGvW4NnYtJf/tplivStX4tm8Ge/y5TglJZHfg8dDYOTISHz5cjwlJQ22df1+gnvtFYkvXYqnrIysJ58k/e232XLHHbi5uZTceCPhggJ8336Ls3Vrw+0zMwkOGQKA76uvcKqqGsZzcggOGhSJf/EFTvSZqG3CeXl1hdC3eDFOINAwXlBAqH9/APwLF0I43DBeWEiob99IvNF5B4k59ygs7BDnnnfNmqbxvfYCvx/PunXtcu41sAPnXoN4WhrBYcMAdO6l4Oce++3XdBmxPwc1Hbga+Byo/5tzgbgWqHCjgTPD3bpFfhGhEOFm/kjq4rW1hNetazleVUW4mT+ScPfuhLt1w6moIBwdpaA+t3v3yC+yvJzwli3Nbu926YKTnk640R8JQLhHD9zcXDx+P+FGfyR18exs8HpxKiubjZOZSWVNiAEVJU3iAIWlxWzo1q3JHwkQee9ebyQWHQaoSRxwqqsj7zcnB9LSIr8Hr/f7eEVF0/tDaWl4164l/6qrKJs+nXBhIVXjxxPYe+/IH0dOTt2HSLi8HKfR0ENuVlbd/sObNjV5/25eXl3c3bgRN5pjXbyg4Pv4+vW4jT9ECgu/3/+aNU3ef925AYRXrmz6s0nAuUevXoQDgZQ+9+D786NJPC0NQqF2OfcaiOHc2xb3lJcT9jX6aMvI+P53W1qqc69xPMmfey1x3GgPqtYYY4qBw621TUtzfLlrmvlldGZh1+W9hcU8+84q7rr7PLqXNz3ZivO7U7v4k3Y53vPPP8+cOXO47777ml+htpaM2bMJDhpEcMQIvCtX0mXKFEr/9CcC2x6ilZgVFRVRXLwj06yJdFy9evUCaDJDaKydJDYBy9oxH9kBS9du5cbHF/Poa8voWZjB5z/7JdW+hl2wq33pLDpvanwTCYfxRD9EnVCIgiuvJOuppwAI9e1L8ezZKk4istNivQd1KfCgMeZOYEP9gLW2mQuK0p7KKgLMensV8z8vpiDHz+TjB3LAnoU4zjAWZvnY/d47KSzdyOb8Ih4/7GwWdj2Q6TUhMtPjM1Bq1zPOgFCITU8/jZuZSfHLLxMcODAuxxKRzivWApUGHAec2Wi5C2i46DgJhcK88ekGXnxvDYFgmHEH9OT4g3qRkfb9j7z31EnUTp3EtqvO+6wq53X7Jf+Yu5QpJwzCcZq0mtvMs24dXc47jy0zZ4LHQ8WZDU+D4GBNjiwi7S/WAnUvkRl1/0nDThISJ18sL+Nfbyxn7aZqhg/I5/Sx/ehRuP3ng4b0yeXkw/rwzLxV/Pvj9Ry7f8/tblPfUUcdxZJmevlkAUR7GQEMHTqU1ydMaNO+RUTaItYC5QMettY27Xoj7WpTWQ1Pv7mSBV9voSg/nYsmDGbvQQVtagkdu39Pvltbwax5KxnQM5s9+uTGvO3rr7+OZ8MGik48ka0XXkjlpEmRoYgcB8dxiKVTjYhIe4i1k8StwG+NMTt/vUiaVRsI89L81Vzz8CIWLi3lxEN6c+25I9hncJc2X6ZzHIdJ43anqCCdB1/6ltKKpl1+m7Pt2ZRwt27UjB1LcNuQQ9Hjp6Wl4ff78fl8+Hw+vJoMUETiKNZu5iuBnkAtkR59day1/eKTGtAJupm7rstn35Rg31zBprJaRg3pwmlH9KUwb+cHSF1dXMmNj39B/57ZXHbaELzelv8/knvbbWT93/+x4d13cfPyml3H4/Hg8XhwHIdAM8+5yM5TN3PpjFrqZh7rJb6z2jUbAWDdpir+9cYKFi8vo1fXTC77yVD27Nd8cdgRvYuyOOu4Afz9le949p3VnHZE3wZxz4YNuBkZuHl5VI0bh5uejuv3t7i/cDiM1+slEAjg8/kIh8OEGz0RLyLSXmJqQSXRLtmCqqoJ8fL7a/jPgvWk+z2cMKYXR+7TvdUWzs544t/LeeuzDfzixEHst0dkZA5n82Z6jBlD5VlnUTYj9jknHcfB4/EQCoXwer04jkMwGIxL3p2RWlDSGe1sCwpjzL7AYUTmharbkbX26p1Pb9e1+i+P1HtOqRvzT7+Af/YYTVlFgENGFHHSYX3Iy2q51dIefnJkX5avr+DRV75hj33C5B55EG5hIWXTp1Nz2GFt2pfruoSiw7SEQiEcx8Hv9xMMBtWBQkTaVaz3oKYAdwCvAuOB2USei3reWtv42aj21KFbUKv/8ggjb7muwYCu1b50HjnxV4y46ufsvltOK1u3r81lNXw1eTonfDCLtW+/ja9/3+1v1AYej0eX+9qBWlDSGe3sUEdXAj+01p4MVEX/PQ3QnfJW7H7vnc2ONn7qfx5JWHHyL1yId8UKCvPS6XblBdw6/jL+sai23Vs7Kk4i0t5iLVDdrbVvR78PG2M81trZwAlxymuXUFjadCDX1pa3N6e8nK6nnkrunXcCMOiAIRSd9xM++HIz8z5LTA4iIjsq1gK1KjofFMBXwARjzGFEup1LCzbnd2vT8vbglJaSaS0Abm4um2fOpPTaa+vi40fvxojd8/nXGytYujb2Ye9FRBIt1gJ1MzAs+v31wGPA68B18UhqV/HZpKnNjja+9KJL43bM7EcfpeDXv8b73XcA1B52WIPnmjyOw8/GD6Qgx88DL3xDeeWOX6Wtrq7mRz/6Eccccwxjx47l1ltvBWDLli1MnDiRQw45hIkTJ1LSaHK5bUaPHs3RRx/Nsccey/jx4+uW33DDDRxzzDH86le/qlv29NNP87e//W2HcxWRjmeHupkbY9KANGttvP8L3mE7Sbiuy63/+pIBb7zCT99+lMLSYjbnd2PpRZfSe+qkdj1Wxty5hLp2JbD//jiVlXi/+47giBGtbrN8fQU3P/kFe/TJ5VenDMHjafsgIa7rUllZSXZ2NoFAgJNPPpnrrruO2bNnU1BQwNSpU/nLX/5CaWkpv/vd75psP3r0aGbPnk1hvUkpy8rKmDRpEs8++yxTp07l4osvZsCAAUyaNInHH38cfyvPae0K1ElCOqM2dzM3xrTWugoCwei9KN0db8Zn35bwzeqtHHjR2dQ+cHndaOO92/k4TlUV+VddRc0hh1Cy//64WVnbLU4A/Xtkc8ZR/Xn0tWW8NH8NJx7S9swcxyE7OxuAYDBIIBDAcRzmzp3L008/DcBPfvITTjvttGYLVHM8Hg+BQADXdamursbv93P//fczefLkXb44iUhD2ytCgVa+tsWlkVAozKx5q+jRJYNDRxS1/wFcl/Q33oBwODIfk7WU3HZbm3dzyMgixgwv4uX317Dwu5IdSiUUCnHsscey9957c/jhh7PffvtRXFxMjx49AOjRowebmplCGiIF7owzzuCHP/whjz32GAA5OTkcf/zxHHfccfTt25fc3Fw+/fRTxo0bt0P5iUjH1dqDursnLItdzDuLilm/pZoLJwyOy+gQ6W++SdezzmLzvfdSPWECoUGDdmg/juNwxtH9WbGhgr/P/o7fnTWcovy2jQHo9Xp57bXXKC0tZfLkyXz55Zcxb/vcc8/Rs2dPiouLmThxIoMHD+aggw7ioosu4qKLLgLgiiuuYNq0aTzxxBO89dZbDBs2jEsvvbRNOYpIx9RigbLWLjfG9LTWrmtpHWmqujbEi++tZnDvHPYZVNB+O3ZdvGvWEOrdm5ojj4wUpx//eKd3m+b3cMGJg7nhscU88MI3XHnGMPy+thfV/Px8xowZw5tvvklRURHr16+nR48erF+/nq5duza7Tc+ekbmqioqKGD9+PJ9++ikHHXRQXXzRokUADBw4kKuvvppZs2Zx4YUX8t133zFQM/iK7PK290n0Vf0XxphZccxll/DqR+sorwxy2hF922U2223yrrmGoh//GKe0FByH6gkToJ2mu+hWkMF54weyYkMl/3x9Rczbbdq0idLSUgCqqqp4++23GTRoEMcddxxPPfUUAE899VSzl+cqKyvZunVr3fdvvfUWQ4cObbDOzTffzBVXXEEgEKgbXsnj8VBVpTkzRTqD7Y3F1/gT9sg45bFLKN1ay2v/XceoIV3aZ6SIcBhCIfD7qTSG4KBBuLmxTz7YFvsMKmD86N2Y/cFaBvbK5pAR239Wa/369Vx66aV1o5qfcMIJHHvssYwaNYoLLriAJ598kt69e/PAAw8AsG7dOqZNm8ajjz7Kxo0bmTx5MhC5j3XSSScxduzYun3PmTOHfffdt66VNWrUKI4++miGDRvG8OHD4/ATEJFU02o3c2NMmbU2r97rzdbawhY3aH8dqpv5o68uY/7nxVx33gi6FWx/evZW1dTQ9cwzqd1/f8qnT2+fBLcjHHa565mv+HZNOVdOHEa/HtkJOa58T93MpTPa0dHMfcaYsfU2bPwaa+3r7ZVkR7ZmUxXvLtrI2H2773xxAkhPJzByJMEd7ACxIzweh8k/GsgNj37OAy9+y1Vn7UV2RswD3ouItKvt3YPaAPwdmBn92tTotR7tj5o1byXpfi8/OqjXDu/Du3QpXY3Bu3w5AGXXXkuVMe2VYkzysvxMOWEwm8tr+b/ZSwlrCg0RSZJW/3tsrR2QoDw6tCUry1j4XSknH9qHnJ2Y28lNS8O7ahXeFSsI9e/fjhm2zaBeOfzkiL6su/dR0q96jK5l8RsFQ0SkJQm7fmOMeQw4GsgG1gE3W2s7fAss7Lo889ZKuuT4OWq/Hm3e3rdoEZlz51J++eWEe/dmw7x54Ev+ZbUh787htNfurZsupKh0Azm3XMdCUJESkYSIzxzjzfszMCDa6eJE4I/GmFEJPH5cfLxkM8vXVzLh0D6k+dv+48x49VWyHnsMz7bRFlKgOAEMvK/5uax2v/fO5CQkIp1Owj4NrbWf13vpRr8GAR8nKof2FgiGefbtVfTplsnoYc0/jNoc/4IF4PcTGDmSrVOnUnHeebhdusQx07ZrbS4rPbktIomQ0P+uG2PuBc4FMoFPgFeaWWcKMAXAWktRURzGsmsnL76zlE1ltfz+vP3p3j3GOZ4CAfxTp+IOGULwpZfim+BO2JzfjaLSDc0vT+HfSUfn8/n08xWJ2qHpNnaGMcYLHEzkod+brLWtDTibss9BVVQHmTHzf/Tvkc2lpw3d7vr+zz4jMHIkeDz4Pv+cUL9+cXvotj2s/ssjjLzlugaX+ap96Sycdo3uQcWRnoOSzqil56ASeQ8KAGttyFr7DtAHuDDRx28vcz5YS1V1iFMP77vdddPefZduxx9PZnT4n+Dw4SldnCDSEWLhtGsozu9OGIfi/O4qTiKSUMm8I+8jcg+qw9lUVsPrn6xn9F5d6ds9a7vr144Zw5bbbqP6hBMSkF376T11ErVTJ8VtLisRkdYkpEAZY7oDRwEvAVXAMcAZwJmJOH57e/6d1QBMaGWSP98XX5A/YwZb7r+fcLduVE2cmKj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f7/R7GTbvHipnXBDRY/t8PlauXMmcOXM46KCDmD17NvPmzeP6668H4PXXX2/16unDDz8kOzubMWPG8NVXXzUpmz59OtOnTwdg5syZXHfddbz00kt8+umnDB8+nBkzZkT0fQkh9q7VK6jWklML9X4M81h/BfK01mnAacCdSqkJzSsppU4EbsRKZnnAQOD2MI8Rd6pqPGzIr4rLh3PDlVVe2OL6ZLd1T8dWXAwRGg7pgAMO4IADDuCggw4C4JRTTmHlSuvU9Hq9vPvuu5x22mktbvv999/zwQcfcNhhhzF9+nS+/PJLrrzyyiZ1fvzROn0HDhzIggULePzxx1m7di0bN26MyPsRQoQv3E4S/wcs1lovU0odDmjAC5yjtf5qz1tbtNarGi2agZ9BwA/Nqp4PPN1QXyk1B6s58cZwjhNvVm4qx4zT0SPCVZKeQ3Z56HNQJek5GBUVZJ90Eu4zzqDy5ps7/Ni5ubn06tWL9evXM3jwYL744guGDh0KwOeff87gwYPp1atXi9vedNNN3HTTTQB89dVXzJ8/n0ceeaRJnblz5zJ37lw8Hg8+nw+w7lG53e4Ofy9CiLYJt5v5NUDDDYe/AvcDlcADwGHhHkwp9SgwDavpbinwTgvVRgILGy0vB3oopbprrZsMra2Uuhi4GEBrTXZ2drihRM3a7dvITE3goBH94voB3T1Ze81NpNx5Y5NmvlpHAq8eNw3VoxdceCGJJ5xAQoT+/+fNm8ell15KfX09AwYM4MknnyQzM5P333+fP/7xj00+9/z8fC699FLeeOONJvtIT0/H5XI1qbtw4UImTpzIqMAYhEcddRRTpkxh9OjRHHPMMRF5L405HI64PGeFiBdGOCNVK6UqtNZpSqlUYAuQo7X2KaXKtNYZbTmgUsoOHAEcC/y9eXd1pdQG4HKt9XuBZSdQDwzQWm/ew67N/Pz8toQScR6vn5mPLeXgYd05d0perMPZJzvmPceARx8kq7yQkvQcfjhnOo8mjWdw7xSu+t1QnA6rtTjl0UcxbTaqL7kkODmiaFl2djZFRUWxDkOImAu0goR8YYQ7ksQ2pdRE4A/AZ4HklAb42hqI1tqntf4C6IPVS7C5KqDxQy0NrzvdkNo/b6+ktt7fabuXN9b7ivOpX72Ugh3bqV+9lNE3X8Sffj2Addsqefqdjfj9JpgmzhUrcK5YEetwhRBdQLhNfNcBC7CuZM4MrDsV+G4fjz2ohfWrgLFY97kIvN7ZvHmvM1i+oQynw8aB/TrP6BFtcejw7lTUePjPJ9t4edEWzj6+P6WPPQb19dZEiAUFONeto+7oo2MdqhCiE9pjglJKDdZar9davwM0vxP9n8DPXimlcoHJwFuAGzgeOAs4u4XqzwPPKqVeBH4BZgHPhnOceGKaJis3ljG8XxouZ9cd8vD4CT2prPHw3ncFpCU7+c3E3pBgdadPvf9+kl5/nZ3ffIOZlRXjSIUQnc3erqDeVkoZWJ0Z3sJq3qsHaONQRyZWc958rGbFLcAMrfVCpVQ/YDUwQmu9VWv9nlJqLvAxu5+DurUtbyoe5Be5Ka6o56TDWu5h1pWccVQfKmu8vPV1PmndnBwzzhqvr+L223FPnRpMTkZZGWZGRruOYbPZsNlseL3ejgpbCBHn9tpJQik1EDgFOBk4GPgKeBt4R2u9PeIRhi+uOkm8800+C7/cwdxLxpKe4op1OBHn85vMX7ielRvLuOjUQUwY1vSKKWHRIjKvuILil1/GM27cXvdnt9uD3b4dDgd+vx+/v2uNpi6dJISwtNZJIqxefA2UUklYD9CeDJyE1XHhHeCfWuu1HRJp+8VVgvrbS6sxTbjpjyNiHUrU1Ht8PLhgHVt2VnPl74Y2ufdm376dlIceonzOHEhM3ON+7HZ7MBk5HA48nq45LrEkKCEsHZKgmlNKjcRKVpu01gvavaOOETcJqqLaw/Xzl/Gbib055Yiu38TXWHWtl3tf+YmSijquVQfSr0cLswfX1ZFxzTVUTZ+Od1ToSFkOh4OG87LhKqorkgQlhKW1BBX2fFBKqW7AYCCl8Xqt9T37GlxXs3JjGSade/SI9kpOdHDV74Yy9+U1PPzaOq7/w3ByM5teMTm2bSPh22+pPf30kARlt9sxDAO/349hGDgcDrnvJMR+KqzuZUqp87AGeF0MvNLo59+RC63zWr6hjMxUF31ykmIdSkxkprq4+syh+P3w0KvrKK9u2kTnHTyYXV98QW1g9HDXF19gKykBCCYnAL/fL8lJiP1YuFdQc4EztdYtT1kqgjxeP2u2VHDEyGyM/XgkhZ7dk7jyd0N44D9refjVtcz8/YEkJew+3cwkK3kbNTW4LrmEZwYM4Jy33pKEJIQICvcBnXrgkwjG0WX8tLWCeq9/v2zea27AASlcetpg8otreXThejxe68po8uTJ9O7dm969e9NryBDSy8q4YenS4LqGn8mTJ8f4HQghYincBHULcL9SSka23IsVG8pIcNoY1jc11qHEhRF56SFDIi1evJgdO3YEfz7//HPy8vLYsWMHpX/7G367nYKvv2bx4sWxDl8IEUPhNvGtA+4ApiulGtYZgKm1tkcisM7INE1WbCxjRF56cPBU0fKQSK01f9acey51kybh69MHgPS//AV/RgaV110XzZCFEHEg3AT1L6whiF7BGqpItGDbrhrKqjyMGZgR61DiTotDIrWiITlhmhg1NRgJu2cithUV4ZcpKoTYL4SboLoDs7XWkZk2tYtYvqEMAxg9MD3WocSl1oZEapVhUPbAA8HZeh2rVpFzyimUPv54sAegEKLrCrcd6p/AuZEMpCtYsaGMgb1SSO3mjHUocckwDP54Qh5jBmbw8qIt/LC2JNwNAfBnZ1P95z9Td5g1R6Zj9WocgSnbhRBdT7hXUIcCVyil/gLsbFygtZa5FIDSynq27qrht0f1iXUocc1uM7jo1IE8uGAdz7y7keQkB+GOVOjv0YOK2bODy6n33otryRJ2fvcduLr+eIdC7G/CTVBPBn5EK1ZuLANgzOCMmMbRGbicdi7/7RDufeUnlt35BEd++iyOqlJcI8azafoMel9xflj7KXvgARw//2wlJ9Mk/S9/wf3b31J/yCERfgdCiGgIK0FprZ+LdCCd3fINZWSnJ3BA1p4HQhWW5EQH5xb/j4Pff5Rt3joAsst3kXLP7ayEsJKUmZ6O5+CDAbDl55P43nt4Ro2yEpTfbzUN7scPSwvR2bV6D0opdVo4Owi3XldW5/Hx09YKxgzK2K9Hj2irA596mMRAcmqQ6K1jwKMPtnlf/t692fnVV9T8v/8HQNIbb5BzwgnYCgo6IlQhRAzs6QrqD0qpu4EXgU+BtVjTa6QCQ4FjgHOAZcAbkQ0zvq3ZUoHXZ0r38jbKKi9sdX270kqjaTz8ycl4+/fHn2v1FHSsX4+3f39wSgcWITqLVq+gtNZnY03L3hvrOahCrGegdgHPAT2B32utz4lCnHFtxYYykhLsDO2TsvfKIqgkPadN69ui7oQTKH36abDZwOMh6+yzybziin3erxAievZ4D0prvRK4AoLTbWQAZVrrmsiH1jn4TZOVG8sYmZeO3S6jR7TFpukzSLnndmjUzFfrSLA6SnTkgRwOyv/6V8w0awJFo7qabi++SM3ZZ2OmyB8VQsSrsOeDCiQlSUzNbCmopqLGK4PDtkPvK85nJeB/5F6oKqEoPbdNvfjCZhjUHXdccDHho49Iv/126idMwDNhQsceSwjRYcJOUKJlyzeUYTNgVJ6MHtEeva84n40n/wrvuedS/+WXHXvl1Ira009n14EH4h02DICURx7BqKqi8sYbpdefEHFEEtQ+WrmxjMG9U0lOkv/KzqQhOQHYt2/HqKwMJiejshIzVUajFyLWutS3qvN//2uy7O/ZE1/fvuDz4VyyJKS+r1cv/L17Q309zuXLQ8v79sXfsye43ThbGFKnqPsBbC9084dDu4ccG8A3cCD+7t0xKitx/PRTSLl38GDMzEyM0lIc69eHlh94IGZqKrbiYuwbN4aWjxiBmZyMrbAQ++bNIeWeUaMgKQlbQQH2bdtCy8eOBZcL244d2PPzQ8sPOgjsduzbtrXYXdsTeCDWvnkztsJmPfLsdmt7wL5hQ3DG3CCXyzo+4NiyBaOurun/YWIintGjrfK1azEqKppsbnbrhnfkSKt81SqMmqatz2ZaWjAJOVeuhNrapuUZGXiHDAGg5uyzIXB8W0kJmdOnU3nttVRPn25tv2QJ+HxNtvfn5ODLy7PKW/jswzn3yM5u97nny8vDn5ODUV2NY/Xq0HI596yXezv3fv4Zo6ysaXkUzz3n8uVQX9+k3J+VhW/QIKs8QufevnzvReTcO/30kHrQxRJUyIlot2M6neDzhZaBVWa3g8fTcnlDt+Xa2hbL1/ziB2yMTvNgKwgt96ekYPN4MKqqWtzetmsXZl0dRnl5y+U7d2JWV2OUlrZe3q0btuLiVstJTMRWWNh6udPZenlBAdjtey6Hlstttt3lRUXYmn0JmE5nsNwoLQ35jEyXq8n2RlVV0+3d7t3lxcUY7qaD7Jv19djSrWZXo6gIo/mXgNeLLXCVZBQXY3isaemN8nLqjjwSX+/e1pdrfj7OZcvw9Q5tfGw4P1r6vwnr3MvPx7ZzZ7vOPbNbN/D5MGpqWiyXcy/Mc6+oCFvzBBSjc293BT9mcnJw//j9Ie9/n8+9ffjei/S515hhmi0PUK6U2gbsdfRyrXW/vdWJErOghb8WIumBxYWUVHuZ85sDonrcrmbj1q2cc9VVfPX667EOJUTanXeS+O67FL7/fof3+MvKyqJkL7+gQuwPelpXvCE3gPd0BdX4+aZDgPOBh4EtQH+s7ufPd1yInYvb42ftzlqOGyb3KrqyyiuvpHbSpGBySn7iCeoPOQTP+PExjkyIrq/VBKW1/rThtVLqH8CJWusdjda9C7wH3BfRCOPU6l9q8flhbG8Ze68rM9PTqT/ySMDqPNFtwQIAK0E1tD5Izz8hIiLce1C9gKpm66ogvF7BSqkE4FHgeCALWA/crLV+t4W604CnaTpz76la60/CjDUqlm93k+yyMSgnYe+VRZdgpqZS+MYbGIF7As4lS0i7/37K/vY366a0EKJDhZug3gDeUErdCWwH+gI3Ef4YfA5gG9b4fVuBkwGtlBqttd7cQv2vtdZHhbnvqPP7TVbm1zK6VyJ2m/z1vF9JTAzemDXq6zGTkvDlWEMz2QoKrOnoHV2q75EQMRPub9KlwG3AfKyrqXzgP8Dt4Wysta4ObN/gLaXUJmACsDnMGOLGhqJ6qur8jOmTFOtQRAzVH3EEJUccYS2YJpnXXYc/NZXSRx+NbWBCdBHhzgdVC9wY+NlnSqkeWCOir2qlynilVBFQgjVQ7V+11t4W9nMxcHEgRrKysjoivL1atyYfuw2OGnEAyQn2qByzKysuL8dmt0ft84sI04QZM7AZhvU+fD5sr7yC/4wzoFu3FjdxOByd+z0LEWFht0UopU4A/gDkaq1/o5Q6GEjTWi9uywGVUk6sKTye01qHPsUFnwGjsHoLjgReAbzAX5tX1Fo/ATwRWDSj1WX32/WlDM1NoK66nLrqqByySysvL8fv83X+LtcN4/qVlOD6+muy/vIXSl0u6iZPbrG6dDMXwtIz8OBxc2ElKKXUlcDVwFPA1MBqN1a384nhBqGUsmFdEdUTGCW9Oa1148fWVyql7gCuo4UEFQu7Kj38UuHlmCEyCrZoXf0RR1D83HN4RowArAkU7Vu3UnXJJTInlRBhCnd+iBnA8VrrvwENjzX/BAxrdYtmlFIGVu+8HsCZWmvPXjZpYNLCA1yxsny7NWyJ3H8Se+MZNcqajwprSB3XsmW7O1DU1bW+oRACCD9BpWL1woPdo0s4sa6EwvUYMBz4jdba3VolpdRJgXtUKKUOBG4BFrbhOBG1fIeb3ulOclKkp5YIX+W111Ly2GNgGBg1NeScfjq2F16IdVhCxLVwv2U/w+ogcVejdVcBH4ezsVKqP3AJUAcUKKUaii4BPgdWAyO01luB44BnlVIpwE7gBeDuMOOMqOo6Pz/vquPEETJ6hGiHhqa9+nrqjjkGZ2DAUaOsDFtJCb6BA2MYnBDxJ9wEdSXwplLqIiBVKbUWqAB+E87GWust7LmZLqVR3ZnAzDDjiqoff3HjN2Fsb2neE+1nZmRQcdNNVg++khKSX3qJ5GefpfDtt/Hn7Pt090J0FeF2M/9FKXUI1ph8/bGa+77TWocOs9uFrdheS2qCjQHdXbEORXQh1WedhXfgwGBySvrPf/AOGYJn3LjYBiZEjIV7DwqsZJYA2LTW3wBJSqnkyIQVf7x+kx9/cTOmdxI2GT1CdCAzM5PaX//aWqivJ+Wf/yTp7bdjG5QQcSCsBKWUGg2sA57E6okH1rBFz0QorrizobCOmnqTMX1kcFgRQS4Xha++SuXllwPWhHxZ55+P4+efYxyYENEX7hXUY8BsrfWBQEP38E+BuB0vr6Mt2+7GYYMRPSVBiQhLSsLMyAACE+LV1uLv3h0ITO7oDRlURYguKdwENRKrNx0EupkHxtfbL3oLmKbJih21HNgzkURnW1pFhdg3ngkTKP73v/EHhkRKnzOHrD//efdUH0J0YeF+227GGtg1SCl1KNa0GV1eQYWXXZVe6b0nYqPRfFPu007DPXVqcF3i+++Du9XHCoXo1MJNULcAbyulbgdcSqmbsEYznxWxyOLI8u3WF8AYmZxQxFjdscfiPu00ABxr1pBx880kvfVWjKMSIjLCSlBa67eAk4AcrHtP/YHfaa0/iGBscWP5Djd9M51kJcvoESJ+eIcPp/ipp3CfeioAri+/JOWxx+SKSnQZYX/jaq2XANMjGEtcqqrzsaGonlNGpcU6FCFCeMaPD752LVtG4ocfUnXRRdYKr1cmTxSdWrijmbuwmvPOYveEhf8G7grMFdVlrdxRiymjR4hOoOryy6n+05+spOTzkf3731M7aRJVVwQmDvD7g4PXCtEZtKWb+WSs8fcOCfx7DNDlpw5dvsNNepKNflkyRYKIf2ZgckTD7ab2uOOsEdUBo6qK3BNOIPGddwIVpRegiH/hXv+fAQzSWpcFllcrpb7F6sX35wjEFRe8PpNV+bUcmtcNmyGjR4jOw0xJoWr67hZ5w+2m9thj8fXtC4Bj3ToybriB8jlz8IweHaswhdijcK+gCoDm81YnAb90bDjxZd2uOmq9JmOkeU90cv6cHCpuuWV3MvL78ebl4evZE4CERYvIuuACbIWFMYxSiKbCvYL6F/CeUuoRYDvQF7gceF4pFZzPuq3Tv8e7ZdvduOwGw3smxDoUITqUd/hwyh58cPcKw8C024MPBHd76SWcK1dSfuedYLfHJkix3ws3QV0S+PfmZusvDfyANcJEl5nQxho9ws3wngm4HHJjWXRtdZMnUzc5+LcmRn09Rl1dMDmlPPwwZmIi1RdfHKsQxX4o3Ok2BkQ6kHizo8xDcbVPupeL/VL1tGlNlu1FRZgJu1sS0u6+m/px46g9+eQoRyb2J+16SEIpNQnwaq0/7+B44sbyHVbv+dFy/0kIyu+4Y/eCx4Nz1Sp8PXpYy14v6XPmUHPGGU2eyxJiX4U73canSqkjA69vwHoG6t9KqeZNfl3G8u1u8rq7yEiS9nchmnA6KX7xRar/bHXgtf/yC66vv8ZWVASArbCQ1Pvuw75tWyyjFF1AuDdXRgHfBF5fBBwLHM7u+09dSoXbx+biesbK2HtCtC7w6IWvb18K33+fukmTAHD8/DPdXn0Vo9ZqhXCsWUPys89iVFbGLFTROYWboGyAqZQaBBha6zVa621AZuRCi50V+W5MYGwfad4TIiyGERxWqX7iRHYuXox38GAAXD/8YI0RGBjFwvXddyS+9Rb4fDELV3QO4d6D+gKYBxwA/BcgkKyKIhRXTC3fXktWNzt9MmT0CCHaJXF360PNOefg/s1vMJOTAUh66y1cS5ZQe8opACR8+ilmUhL1hx4ak1BF/Ao3QU0DrgUKgbmBdQcCD0Ugppjy+ExW/1LLxIHJGDJ6hBAdwkxPD74uv+02635V4Pcr5fHH8WdmBhNUwqJFeAcOxDdgv+s8LJoJt5t5Mc2egdJavx2RiGLsp4Ja6n0mY/vI/SchIsJmw5+bG1wsefppbKWl1oLHQ/rs2bhPP53K668HIPHdd6kfNw7/AQfEIloRQ/IEajPLd7hJcBgM6yEJSohoMJOS8PXqZS04nRS99hrV554LgH3bNjJmzSLhiy8AMMrLSbvjDhw//RSrcEUUSYJqxDRNlm+vZeQBiTjt0rwnRCz4e/QIXi35evem8LXXqD3+eADs+fkkfvIJtvJyAByrVpE9dSqO1asBMGpqMCoqYhO46HBRmc1MKZWANTXH8UAW1ijoN2ut322l/jXADVgD0r4KXKa1rot0nFtLPZS5fdJ7T4h4YbPh698/uOgdPpxdixY1mS7E269fcAzBhI8/JmP2bAoXLMA3YAD2TZtwbN9O3WGHgcsV9fDFvmnTFZRSyqaUak9DsAPYhjWHVDpwC6CVUnktHONE4EbgOCAPa3y/29txzDZbvt2NAYzuJc17QsQtwwh2WfeOHEnZ/ffjD4zK7hkxgsqrrgpOK5L03ntk/N//Bbu0JyxaRMo//mFN3ijiXrgz6mZgXQFNBTxAslLqNOBQrfWsvW2vta4Gbmu06i2l1CZgArC5WfXzgae11qsCx54DvIiVtCJqxQ43A7NdpCbK6BFCdEa+AQOobtT7r/q886g9+mhIslpFnKtWkbhoEVWXXw5A6gMPYM/Pp+yeewCwlZTgT0sLPtMlYivcK6j5QDnQH6gPrPsa+H17DqqU6gEMBVa1UDwSWN5oeTnQQynVvT3HCscL35Vw8Uvb2FLiYWNRPS98VxKpQwkhoshMTsY7cmRwueqqqyh67bXgsj8rC19OTnA5/cYbybrkkuCy66uvcKxfH51gRYhw/0w4DuiltfYopUwArXWhUip3L9uFUEo5sa6IntNat9QVJwUrGTZoeJ0KFDfb18XAxYF4yAq0Q7fFEx9v49Ofq4PLJvDpz9UkJiRw8aS+bd6faLvi8nJsdnu7Pr/OzOFw7HfvOe5ccw1g3RgHMC64AEwz+Lk477oL/+GH43vgAQDsd9+N/+CDMadMsTaoq4MEmS8uUsJNUOVANo1m0FVK9aONM+oqpWxYkx/WA1e0Uq0KaDzHRcPrkIG8tNZPAE8EFs2SkrZf+Xy4quVtPlxVwtSxyW3en2i78vJy/D4f7fn8OrOsrKz97j3HvcMOs/4NfC72xx8Hvx9fSQl4POS8+SZ1hkHVwQeDx0OPo46i6pJLrIFzfT66vfIKdUccIQ8Zt1HPvLwW14fbxPcU8Gpgmg2bUuoI4Dmspr+wKKUM4GmgB3Cm1trTStVVwNhGy2OBnYGHhTuc32zbeiHE/sPXpw++fv2sBaeTwrffpiowaaPh9VJ10UXUB6YYsRcUkHbffbiWLQPAtmsX2WeeievLL636NTU4lyzBqK4OOY5oWbhXUH8HaoF/AE7gGeBx2jbU0WPAcOB4rbV7D/WeB55VSr2IdYU2C3i2DcdpE5vRcjKyyWNQQoiWBIZoMpOSqL7wwuBqX69e7PzoI3BaY3ga9fV4BwzATLMagRxr19L9oosoeeQR6idOxPHzzyQ/+yxVl1xiJUG3G8PvD45ZKMIf6sgEHgz8tJlSqj/WtPF1QIFSqqHoEuBzYDUwQmu9VWv9nlJqLvAxu5+DurU9xw3HrwYnN7kH1Xi9EEKEzTAwM3dP8ODr04eye+8NLnsHD6bkkUfwjBoFgK24GOeKFcFnuhI/+YSMWbOCz3A51qwh4euvqVEKMyUF6uut3oW2/Wd8BcM0w2vLCjyzNAarE0OQ1vqljg+rXcyCJUvateEL35Xw+fpq/KZ15fSrwcmcc6jcvI6WjVu3cs5VV/HV66/HOpSokntQojH7xo0kfvop1WefDQkJdPvXv0h78EF2fvE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" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" }, { @@ -3874,14 +57452,14 @@ ], "source": [ "# Reset the gas\n", - "gas.set_equivalence_ratio(1.0, 'H2', {'O2':1.0, 'N2':3.76})\n", + "gas.set_equivalence_ratio(1.0, \"H2\", {\"O2\": 1.0, \"N2\": 3.76})\n", "gas.TP = To, Po\n", "\n", "# Create a new flame object\n", "flame = ct.FreeFlame(gas, width=width)\n", "\n", "flame.set_refine_criteria(**refine_criteria)\n", - "flame.set_max_grid_points(flame.domains[flame.domain_index('flame')], 1e4)\n", + "flame.set_max_grid_points(flame.domains[flame.domain_index(\"flame\")], 1e4)\n", "\n", "callback, speeds, grids = make_callback(flame)\n", "flame.set_steady_callback(callback)\n", @@ -3892,12 +57470,12 @@ "flame.solve(loglevel=loglevel, auto=True)\n", "\n", "Su0 = flame.velocity[0]\n", - "print(\"Flame Speed is: {:.2f} cm/s\".format(Su0*100))" + "print(f\"Flame Speed is: {Su0 * 100:.2f} cm/s\")" ] }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 27, "metadata": {}, "outputs": [ { @@ -3964,14 +57542,1394 @@ }, { "data": { - "image/png": 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" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" }, { @@ -4022,26 +58980,26 @@ " \n", " 43\n", " 60.433331\n", - " 215.110670\n", + " 215.110671\n", " 54.440126\n", " \n", " \n", " 51\n", " 30.817708\n", - " 122.606520\n", - " 58.417575\n", + " 122.606521\n", + " 58.417576\n", " \n", " \n", " 61\n", " 16.255720\n", " 26.903686\n", - " 120.895428\n", + " 120.895427\n", " \n", " \n", " 74\n", " 8.520372\n", - " 67.690362\n", - " 273.037266\n", + " 67.690361\n", + " 273.037255\n", " \n", " \n", " 93\n", @@ -4076,10 +59034,10 @@ "28 NaN NaN \n", "28 NaN NaN \n", "36 NaN NaN \n", - "43 60.433331 215.110670 \n", - "51 30.817708 122.606520 \n", + "43 60.433331 215.110671 \n", + "51 30.817708 122.606521 \n", "61 16.255720 26.903686 \n", - "74 8.520372 67.690362 \n", + "74 8.520372 67.690361 \n", "93 4.571941 29.579963 \n", "114 2.438634 14.245514 \n", "129 1.422479 8.344867 \n", @@ -4090,9 +59048,9 @@ "28 NaN \n", "36 NaN \n", "43 54.440126 \n", - "51 58.417575 \n", - "61 120.895428 \n", - "74 273.037266 \n", + "51 58.417576 \n", + "61 120.895427 \n", + "74 273.037255 \n", "93 56.196084 \n", "114 22.226241 \n", "129 11.259605 \n", @@ -4124,7 +59082,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.10" + "version": "3.9.12" } }, "nbformat": 4, diff --git a/flames/flame_speed_with_sensitivity_analysis.ipynb b/flames/flame_speed_with_sensitivity_analysis.ipynb index 1bb64cb..43d60c8 100644 --- a/flames/flame_speed_with_sensitivity_analysis.ipynb +++ b/flames/flame_speed_with_sensitivity_analysis.ipynb @@ -42,7 +42,7 @@ "import numpy as np\n", "import pandas as pd\n", "\n", - "print(\"Running Cantera Version: \" + str(ct.__version__))" + "print(f\"Running Cantera Version: {ct.__version__}\")" ] }, { @@ -52,20 +52,22 @@ "outputs": [], "source": [ "# Import plotting modules and define plotting preference\n", - "%matplotlib notebook\n", + "%config InlineBackend.figure_formats = [\"svg\"]\n", + "%matplotlib inline\n", "import matplotlib.pylab as plt\n", "\n", - "plt.rcParams['axes.labelsize'] = 14\n", - "plt.rcParams['xtick.labelsize'] = 12\n", - "plt.rcParams['ytick.labelsize'] = 12\n", - "plt.rcParams['legend.fontsize'] = 10\n", - "plt.rcParams['figure.figsize'] = (8,6)\n", + "plt.rcParams[\"axes.labelsize\"] = 14\n", + "plt.rcParams[\"xtick.labelsize\"] = 12\n", + "plt.rcParams[\"ytick.labelsize\"] = 12\n", + "plt.rcParams[\"legend.fontsize\"] = 10\n", + "plt.rcParams[\"figure.figsize\"] = (8, 6)\n", + "plt.rcParams[\"figure.dpi\"] = 120\n", "\n", "# Get the best of both ggplot and seaborn\n", - "plt.style.use('ggplot')\n", - "plt.style.use('seaborn-deep')\n", + "plt.style.use(\"ggplot\")\n", + "plt.style.use(\"seaborn-deep\")\n", "\n", - "plt.rcParams['figure.autolayout'] = True" + "plt.rcParams[\"figure.autolayout\"] = True" ] }, { @@ -81,17 +83,17 @@ "metadata": {}, "outputs": [], "source": [ - "#Inlet Temperature in Kelvin and Inlet Pressure in Pascals\n", - "#In this case we are setting the inlet T and P to room temperature conditions\n", + "# Inlet Temperature in Kelvin and Inlet Pressure in Pascals\n", + "# In this case we are setting the inlet T and P to room temperature conditions\n", "To = 300\n", "Po = 101325\n", "\n", - "#Define the gas-mixutre and kinetics\n", - "#In this case, we are choosing a GRI3.0 gas\n", - "gas = ct.Solution('gri30.yaml')\n", + "# Define the gas-mixutre and kinetics\n", + "# In this case, we are choosing a GRI3.0 gas\n", + "gas = ct.Solution(\"gri30.yaml\")\n", "\n", - "# Create a stoichiometric CH4/Air premixed mixture \n", - "gas.set_equivalence_ratio(1.0, 'CH4', {'O2':1.0, 'N2':3.76})\n", + "# Create a stoichiometric CH4/Air premixed mixture\n", + "gas.set_equivalence_ratio(1.0, \"CH4\", {\"O2\": 1.0, \"N2\": 3.76})\n", "gas.TP = To, Po" ] }, @@ -131,7 +133,10 @@ { "cell_type": "code", "execution_count": 5, - "metadata": {}, + "metadata": { + "scrolled": true, + "tags": [] + }, "outputs": [ { "name": "stdout", @@ -142,23 +147,23 @@ "\n", "..............................................................................\n", "Attempt Newton solution of steady-state problem... failure. \n", - "Take 10 timesteps 2.136e-05 5.452\n", + "Take 10 timesteps 2.136e-05 5.453\n", "Attempt Newton solution of steady-state problem... failure. \n", "Take 10 timesteps 0.0003649 4.427\n", "Attempt Newton solution of steady-state problem... failure. \n", - "Take 10 timesteps 2.435e-05 6.061\n", + "Take 10 timesteps 1.624e-05 6.029\n", "Attempt Newton solution of steady-state problem... failure. \n", - "Take 10 timesteps 3.468e-05 5.63\n", + "Take 10 timesteps 3.468e-05 5.674\n", "Attempt Newton solution of steady-state problem... failure. \n", "Take 10 timesteps 0.001333 4.122\n", "Attempt Newton solution of steady-state problem... success.\n", "\n", "Problem solved on [9] point grid(s).\n", - "Expanding domain to accomodate flame thickness. New width: 0.028 m\n", + "Expanding domain to accommodate flame thickness. New width: 0.028 m\n", "##############################################################################\n", "Refining grid in flame.\n", " New points inserted after grid points 0 1 2 3 4 5 6 \n", - " to resolve C C2H2 C2H3 C2H4 C2H5 C2H6 C3H7 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCCOH HCN HCNO HCO HNCO HO2 N N2 N2O NCO NH NO NO2 O O2 OH T u \n", + " to resolve C C2H2 C2H3 C2H4 C2H5 C2H6 C3H7 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCCOH HCN HCNO HCO HNCO HO2 N N2 N2O NCO NH NO NO2 O O2 OH T velocity \n", "##############################################################################\n", "\n", "*********** Solving on 16 point grid with energy equation enabled ************\n", @@ -167,23 +172,25 @@ "Attempt Newton solution of steady-state problem... failure. \n", "Take 10 timesteps 2.136e-05 5.751\n", "Attempt Newton solution of steady-state problem... failure. \n", - "Take 10 timesteps 4.055e-05 5.58\n", + "Take 10 timesteps 4.055e-05 5.579\n", "Attempt Newton solution of steady-state problem... failure. \n", - "Take 10 timesteps 2.887e-05 5.947\n", + "Take 10 timesteps 2.887e-05 5.946\n", "Attempt Newton solution of steady-state problem... failure. \n", - "Take 10 timesteps 2.055e-05 6.11\n", + "Take 10 timesteps 2.055e-05 6.111\n", "Attempt Newton solution of steady-state problem... failure. \n", "Take 10 timesteps 0.0001756 5.504\n", "Attempt Newton solution of steady-state problem... failure. \n", - "Take 10 timesteps 1.172e-05 6.764\n", + "Take 10 timesteps 1.172e-05 6.773\n", + "Attempt Newton solution of steady-state problem... failure. \n", + "Take 10 timesteps 0.0003003 4.727\n", "Attempt Newton solution of steady-state problem... success.\n", "\n", "Problem solved on [16] point grid(s).\n", - "Expanding domain to accomodate flame thickness. New width: 0.056 m\n", + "Expanding domain to accommodate flame thickness. New width: 0.056 m\n", "##############################################################################\n", "Refining grid in flame.\n", " New points inserted after grid points 3 4 5 6 7 8 9 \n", - " to resolve C C2H2 C2H3 C2H4 C2H5 C2H6 C3H7 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCCOH HCN HCNO HCO HNCO HO2 N N2 N2O NCO NH NH2 NO NO2 O O2 OH T u \n", + " to resolve C C2H2 C2H3 C2H4 C2H5 C2H6 C3H7 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCCOH HCN HCNO HCO HNCO HO2 N N2 N2O NCO NH NH2 NO NO2 O O2 OH T velocity \n", "##############################################################################\n", "\n", "*********** Solving on 23 point grid with energy equation enabled ************\n", @@ -194,25 +201,25 @@ "Attempt Newton solution of steady-state problem... failure. \n", "Take 10 timesteps 3.604e-05 5.689\n", "Attempt Newton solution of steady-state problem... failure. \n", - "Take 10 timesteps 1.283e-05 6.137\n", + "Take 10 timesteps 1.283e-05 6.138\n", "Attempt Newton solution of steady-state problem... failure. \n", "Take 10 timesteps 0.0001096 5.738\n", "Attempt Newton solution of steady-state problem... failure. \n", - "Take 10 timesteps 2.601e-05 6.05\n", + "Take 10 timesteps 2.601e-05 6.051\n", "Attempt Newton solution of steady-state problem... failure. \n", - "Take 10 timesteps 6.943e-06 6.869\n", + "Take 10 timesteps 6.943e-06 6.87\n", "Attempt Newton solution of steady-state problem... failure. \n", "Take 10 timesteps 7.909e-05 5.845\n", "Attempt Newton solution of steady-state problem... failure. \n", - "Take 10 timesteps 6.256e-06 6.571\n", + "Take 10 timesteps 6.256e-06 6.574\n", "Attempt Newton solution of steady-state problem... failure. \n", "Take 10 timesteps 0.0001069 5.566\n", "Attempt Newton solution of steady-state problem... failure. \n", - "Take 10 timesteps 7.61e-05 5.798\n", + "Take 10 timesteps 7.61e-05 5.773\n", "Attempt Newton solution of steady-state problem... failure. \n", - "Take 10 timesteps 2.709e-05 5.646\n", + "Take 10 timesteps 5.417e-05 5.296\n", "Attempt Newton solution of steady-state problem... failure. \n", - "Take 10 timesteps 0.0006942 4.499\n", + "Take 10 timesteps 0.001388 4.168\n", "Attempt Newton solution of steady-state problem... success.\n", "\n", "Problem solved on [23] point grid(s).\n", @@ -231,7 +238,7 @@ "##############################################################################\n", "Refining grid in flame.\n", " New points inserted after grid points 6 7 8 9 10 11 12 13 \n", - " to resolve C C2H2 C2H3 C2H4 C2H5 C2H6 C3H7 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCCOH HCN HCNO HCO HNCO HO2 N N2 N2O NCO NH NH2 NO NO2 O O2 OH T u \n", + " to resolve C C2H2 C2H3 C2H4 C2H5 C2H6 C3H7 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCCOH HCN HCNO HCO HNCO HO2 N N2 N2O NCO NH NH2 NO NO2 O O2 OH T velocity \n", "##############################################################################\n", "\n", "..............................................................................\n", @@ -245,12 +252,12 @@ "##############################################################################\n", "Refining grid in flame.\n", " New points inserted after grid points 8 9 10 11 12 13 14 15 16 27 28 \n", - " to resolve C C2H C2H2 C2H3 C2H4 C2H5 C2H6 C3H7 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCCOH HCN HCNO HCO HNCO HO2 N N2 N2O NCO NH NH2 NH3 NO NO2 O O2 OH T u \n", + " to resolve C C2H C2H2 C2H3 C2H4 C2H5 C2H6 C3H7 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCCOH HCN HCNO HCO HNCO HO2 N N2 N2O NCO NH NH2 NH3 NO NO2 O O2 OH T velocity \n", "##############################################################################\n", "\n", "..............................................................................\n", "Attempt Newton solution of steady-state problem... failure. \n", - "Take 10 timesteps 7.594e-05 5.228\n", + "Take 10 timesteps 7.594e-05 5.229\n", "Attempt Newton solution of steady-state problem... success.\n", "\n", "Problem solved on [42] point grid(s).\n", @@ -259,7 +266,7 @@ "##############################################################################\n", "Refining grid in flame.\n", " New points inserted after grid points 12 13 14 15 16 17 18 19 20 21 40 \n", - " to resolve C C2H C2H2 C2H3 C2H4 C2H5 C2H6 C3H7 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCCOH HCN HCNO HCO HNCO HO2 N N2 N2O NCO NH NH2 NH3 NO NO2 O O2 OH T point 40 u \n", + " to resolve C C2H C2H2 C2H3 C2H4 C2H5 C2H6 C3H7 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCCOH HCN HCNO HCO HNCO HO2 N N2 N2O NCO NH NH2 NH3 NO NO2 O O2 OH T point 40 velocity \n", "##############################################################################\n", "\n", "..............................................................................\n", @@ -271,7 +278,7 @@ "##############################################################################\n", "Refining grid in flame.\n", " New points inserted after grid points 15 16 17 18 19 20 21 22 23 24 25 26 27 50 \n", - " to resolve C C2H C2H2 C2H3 C2H4 C2H5 C2H6 C3H7 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCCOH HCN HCNO HCO HNCO HO2 N N2 N2O NCO NO NO2 O O2 OH T u \n", + " to resolve C C2H C2H2 C2H3 C2H4 C2H5 C2H6 C3H7 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCCOH HCN HCNO HCO HNCO HO2 N N2 N2O NCO NO NO2 O O2 OH T velocity \n", "##############################################################################\n", "\n", "..............................................................................\n", @@ -283,7 +290,7 @@ "##############################################################################\n", "Refining grid in flame.\n", " New points inserted after grid points 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 \n", - " to resolve C C2H C2H2 C2H3 C2H4 C2H5 C2H6 C3H7 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCCOH HCN HCNO HCO HNCO HO2 N N2 NO NO2 O O2 OH T u \n", + " to resolve C C2H C2H2 C2H3 C2H4 C2H5 C2H6 C3H7 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCCOH HCN HCNO HCO HNCO HO2 N N2 NO NO2 O O2 OH T velocity \n", "##############################################################################\n", "\n", "..............................................................................\n", @@ -295,7 +302,7 @@ "##############################################################################\n", "Refining grid in flame.\n", " New points inserted after grid points 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 \n", - " to resolve C C2H C2H2 C2H3 C2H4 C2H5 C2H6 C3H7 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO H H2 H2O H2O2 HCCO HCCOH HCN HCO HNCO HO2 N2 NO2 O O2 OH T u \n", + " to resolve C C2H C2H2 C2H3 C2H4 C2H5 C2H6 C3H7 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO H H2 H2O H2O2 HCCO HCCOH HCN HCO HNCO HO2 N2 NO2 O O2 OH T velocity \n", "##############################################################################\n", "\n", "..............................................................................\n", @@ -317,14 +324,14 @@ "\n", "..............................................................................\n", "no new points needed in flame\n", - "Flame Speed is: 38.22 cm/s\n" + "Flame Speed is: 38.23 cm/s\n" ] } ], "source": [ "flame.solve(loglevel=loglevel, auto=True)\n", "Su0 = flame.velocity[0]\n", - "print(\"Flame Speed is: {:.2f} cm/s\".format(Su0*100))\n", + "print(f\"Flame Speed is: {Su0 * 100:.2f} cm/s\")\n", "\n", "# Note that the variable Su0 will also be used downstream in the sensitivity analysis" ] @@ -347,791 +354,2764 @@ "outputs": [ { "data": { - 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');\n", - " var titletext = $(\n", - " '
');\n", - " titlebar.append(titletext)\n", - " this.root.append(titlebar);\n", - " this.header = titletext[0];\n", - "}\n", - "\n", - "\n", - "\n", - "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n", - "\n", - "}\n", - "\n", - "\n", - "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n", - "\n", - "}\n", - "\n", - "mpl.figure.prototype._init_canvas = function() {\n", - " var fig = this;\n", - "\n", - " var canvas_div = $('
');\n", - "\n", - " canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n", - "\n", - " function canvas_keyboard_event(event) {\n", - " return fig.key_event(event, event['data']);\n", - " }\n", - "\n", - " canvas_div.keydown('key_press', canvas_keyboard_event);\n", - " canvas_div.keyup('key_release', canvas_keyboard_event);\n", - " this.canvas_div = canvas_div\n", - " this._canvas_extra_style(canvas_div)\n", - " this.root.append(canvas_div);\n", - "\n", - " var canvas = $('');\n", - " canvas.addClass('mpl-canvas');\n", - " canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n", - "\n", - " this.canvas = canvas[0];\n", - " this.context = canvas[0].getContext(\"2d\");\n", - "\n", - " var backingStore = this.context.backingStorePixelRatio ||\n", - "\tthis.context.webkitBackingStorePixelRatio ||\n", - "\tthis.context.mozBackingStorePixelRatio ||\n", - "\tthis.context.msBackingStorePixelRatio ||\n", - "\tthis.context.oBackingStorePixelRatio ||\n", - "\tthis.context.backingStorePixelRatio || 1;\n", - "\n", - " mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n", - "\n", - " var rubberband = $('');\n", - " rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n", - "\n", - " var pass_mouse_events = true;\n", - "\n", - " canvas_div.resizable({\n", - " start: function(event, ui) {\n", - " pass_mouse_events = false;\n", - " },\n", - " resize: function(event, ui) {\n", - " fig.request_resize(ui.size.width, ui.size.height);\n", - " },\n", - " stop: function(event, ui) {\n", - " pass_mouse_events = true;\n", - " fig.request_resize(ui.size.width, ui.size.height);\n", - " },\n", - " });\n", - "\n", - " function mouse_event_fn(event) {\n", - " if (pass_mouse_events)\n", - " return fig.mouse_event(event, event['data']);\n", - " }\n", - "\n", - " rubberband.mousedown('button_press', mouse_event_fn);\n", - " rubberband.mouseup('button_release', mouse_event_fn);\n", - " // Throttle sequential mouse events to 1 every 20ms.\n", - " rubberband.mousemove('motion_notify', mouse_event_fn);\n", - "\n", - " rubberband.mouseenter('figure_enter', mouse_event_fn);\n", - " rubberband.mouseleave('figure_leave', mouse_event_fn);\n", - "\n", - " canvas_div.on(\"wheel\", function (event) {\n", - " event = event.originalEvent;\n", - " event['data'] = 'scroll'\n", - " if (event.deltaY < 0) {\n", - " event.step = 1;\n", - " } else {\n", - " event.step = -1;\n", - " }\n", - " mouse_event_fn(event);\n", - " });\n", - "\n", - " canvas_div.append(canvas);\n", - " canvas_div.append(rubberband);\n", - "\n", - " this.rubberband = rubberband;\n", - " this.rubberband_canvas = rubberband[0];\n", - " this.rubberband_context = rubberband[0].getContext(\"2d\");\n", - " this.rubberband_context.strokeStyle = \"#000000\";\n", - "\n", - " this._resize_canvas = function(width, height) {\n", - " // Keep the size of the canvas, canvas container, and rubber band\n", - " // canvas in synch.\n", - " canvas_div.css('width', width)\n", - " canvas_div.css('height', height)\n", - "\n", - " canvas.attr('width', width * mpl.ratio);\n", - " canvas.attr('height', height * mpl.ratio);\n", - " canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n", - "\n", - " rubberband.attr('width', width);\n", - " rubberband.attr('height', height);\n", - " }\n", - "\n", - " // Set the figure to an initial 600x600px, this will subsequently be updated\n", - " // upon first draw.\n", - " this._resize_canvas(600, 600);\n", - "\n", - " // Disable right mouse context menu.\n", - " $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n", - " return false;\n", - " });\n", - "\n", - " function set_focus () {\n", - " canvas.focus();\n", - " canvas_div.focus();\n", - " }\n", - "\n", - " window.setTimeout(set_focus, 100);\n", - "}\n", - "\n", - "mpl.figure.prototype._init_toolbar = function() {\n", - " var fig = this;\n", - "\n", - " var nav_element = $('
')\n", - " nav_element.attr('style', 'width: 100%');\n", - " this.root.append(nav_element);\n", - "\n", - " // Define a callback function for later on.\n", - " function toolbar_event(event) {\n", - " return fig.toolbar_button_onclick(event['data']);\n", - " }\n", - " function toolbar_mouse_event(event) {\n", - " return fig.toolbar_button_onmouseover(event['data']);\n", - " }\n", - "\n", - " for(var toolbar_ind in mpl.toolbar_items) {\n", - " var name = mpl.toolbar_items[toolbar_ind][0];\n", - " var tooltip = mpl.toolbar_items[toolbar_ind][1];\n", - " var image = mpl.toolbar_items[toolbar_ind][2];\n", - " var method_name = mpl.toolbar_items[toolbar_ind][3];\n", - "\n", - " if (!name) {\n", - " // put a spacer in here.\n", - " continue;\n", - " }\n", - " var button = $('');\n", - " button.click(method_name, toolbar_event);\n", - " button.mouseover(tooltip, toolbar_mouse_event);\n", - " nav_element.append(button);\n", - " }\n", - "\n", - " // Add the status bar.\n", - " var status_bar = $('');\n", - " nav_element.append(status_bar);\n", - " this.message = status_bar[0];\n", - "\n", - " // Add the close button to the window.\n", - " var buttongrp = $('
');\n", - " var button = $('');\n", - " button.click(function (evt) { fig.handle_close(fig, {}); } );\n", - " button.mouseover('Stop Interaction', toolbar_mouse_event);\n", - " buttongrp.append(button);\n", - " var titlebar = this.root.find($('.ui-dialog-titlebar'));\n", - " titlebar.prepend(buttongrp);\n", - "}\n", - "\n", - "mpl.figure.prototype._root_extra_style = function(el){\n", - " var fig = this\n", - " el.on(\"remove\", function(){\n", - "\tfig.close_ws(fig, {});\n", - " });\n", - "}\n", - "\n", - "mpl.figure.prototype._canvas_extra_style = function(el){\n", - " // this is important to make the div 'focusable\n", - " el.attr('tabindex', 0)\n", - " // reach out to IPython and tell the keyboard manager to turn it's self\n", - " // off when our div gets focus\n", - "\n", - " // location in version 3\n", - " if (IPython.notebook.keyboard_manager) {\n", - " IPython.notebook.keyboard_manager.register_events(el);\n", - " }\n", - " else {\n", - " // location in version 2\n", - " IPython.keyboard_manager.register_events(el);\n", - " }\n", - "\n", - "}\n", - "\n", - "mpl.figure.prototype._key_event_extra = function(event, name) {\n", - " var manager = IPython.notebook.keyboard_manager;\n", - " if (!manager)\n", - " manager = IPython.keyboard_manager;\n", - "\n", - " // Check for shift+enter\n", - " if (event.shiftKey && event.which == 13) {\n", - " this.canvas_div.blur();\n", - " event.shiftKey = false;\n", - " // Send a \"J\" for go to next cell\n", - " event.which = 74;\n", - " event.keyCode = 74;\n", - " manager.command_mode();\n", - " manager.handle_keydown(event);\n", - " }\n", - "}\n", - "\n", - "mpl.figure.prototype.handle_save = function(fig, msg) {\n", - " fig.ondownload(fig, null);\n", - "}\n", - "\n", - "\n", - "mpl.find_output_cell = function(html_output) {\n", - " // Return the cell and output element which can be found *uniquely* in the notebook.\n", - " // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n", - " // IPython event is triggered only after the cells have been serialised, which for\n", - " // our purposes (turning an active figure into a static one), is too late.\n", - " var cells = IPython.notebook.get_cells();\n", - " var ncells = cells.length;\n", - " for (var i=0; i= 3 moved mimebundle to data attribute of output\n", - " data = data.data;\n", - " }\n", - " if (data['text/html'] == html_output) {\n", - " return [cell, data, j];\n", - " }\n", - " }\n", - " }\n", - " }\n", - "}\n", - "\n", - "// Register the function which deals with the matplotlib target/channel.\n", - "// The kernel may be null if the page has been refreshed.\n", - "if (IPython.notebook.kernel != null) {\n", - " IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n", - "}\n" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/html": [ - "" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# Extract concentration data\n", - "X_CH4 = flame.X[13]\n", - "X_CO2 = flame.X[15]\n", - "X_H2O = flame.X[5]\n", - "\n", - "plt.figure()\n", - "\n", - "plt.plot(flame.grid*100, X_CH4, '-o', label=r'$CH_{4}$')\n", - "plt.plot(flame.grid*100, X_CO2, '-s', label=r'$CO_{2}$')\n", - "plt.plot(flame.grid*100, X_H2O, '-<', label=r'$H_{2}O$')\n", - "\n", - "plt.legend(loc=2)\n", - "plt.xlabel('Distance (cm)')\n", - "plt.ylabel('MoleFractions');" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Sensitivity Analysis\n", - "\n", - "See which reactions effect the flame speed the most" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [], - "source": [ - "# Create a dataframe to store sensitivity-analysis data\n", - "sensitivities = pd.DataFrame(data=[], index=gas.reaction_equations(range(gas.n_reactions)))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Compute sensitivities" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [], - "source": [ - "# Set the value of the perturbation\n", - "dk = 1e-2\n", - "\n", - "# Create an empty column to store the sensitivities data\n", - "sensitivities[\"baseCase\"] = \"\"" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [], - "source": [ - "for m in range(gas.n_reactions):\n", - " gas.set_multiplier(1.0) # reset all multipliers \n", - " gas.set_multiplier(1+dk, m) # perturb reaction m \n", - " \n", - " # Always force loglevel=0 for this\n", - " # Make sure the grid is not refined, otherwise it won't strictly \n", - " # be a small perturbation analysis\n", - " flame.solve(loglevel=0, refine_grid=False)\n", - " \n", - " # The new flame speed\n", - " Su = flame.velocity[0]\n", - " \n", - " sensitivities[\"baseCase\"][m] = (Su-Su0)/(Su0*dk)\n", - "\n", - "# This step is essential, otherwise the mechanism will have been altered\n", - "gas.set_multiplier(1.0)" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
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" ] }, "metadata": {}, @@ -2924,18 +5060,19 @@ "# to see only the top few\n", "threshold = 0.03\n", "\n", - "firstColumn = sensitivities.columns[0]\n", - "\n", "# For plotting, collect only those steps that are above the threshold\n", "# Otherwise, the y-axis gets crowded and illegible\n", - "sensitivitiesSubset = sensitivities[sensitivities[firstColumn].abs() > threshold]\n", - "indicesMeetingThreshold = sensitivitiesSubset[firstColumn].abs().sort_values(ascending=False).index\n", - "sensitivitiesSubset.loc[indicesMeetingThreshold].plot.barh(title=\"Sensitivities for GRI 3.0\",\n", - " legend=None)\n", + "sensitivities_subset = sensitivities[sensitivities[\"base_case\"].abs() > threshold]\n", + "reactions_above_threshold = (\n", + " sensitivities_subset.abs().sort_values(by=\"base_case\", ascending=False).index\n", + ")\n", + "sensitivities_subset.loc[reactions_above_threshold].plot.barh(\n", + " title=\"Sensitivities for GRI 3.0\", legend=None\n", + ")\n", "plt.gca().invert_yaxis()\n", "\n", - "plt.rcParams.update({'axes.labelsize': 20})\n", - "plt.xlabel(r'Sensitivity: $\\frac{\\partial\\:\\ln{S_{u}}}{\\partial\\:\\ln{k}}$');\n", + "plt.rcParams.update({\"axes.labelsize\": 20})\n", + "plt.xlabel(r\"Sensitivity: $\\frac{\\partial\\:\\ln{S_{u}}}{\\partial\\:\\ln{k}}$\");\n", "\n", "# Uncomment the following to save the plot. A higher than usual resolution (dpi) helps\n", "# plt.savefig('sensitivityPlot', dpi=300)" @@ -2958,7 +5095,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.10" + "version": "3.9.12" } }, "nbformat": 4, diff --git a/flames/twin_premixed_flame_axisymmetric.ipynb b/flames/twin_premixed_flame_axisymmetric.ipynb index 119615e..32f65ce 100644 --- a/flames/twin_premixed_flame_axisymmetric.ipynb +++ b/flames/twin_premixed_flame_axisymmetric.ipynb @@ -33,7 +33,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Running Cantera Version: 2.5.0a2\n" + "Running Cantera Version: 2.6.0a4\n" ] } ], @@ -41,7 +41,7 @@ "import cantera as ct\n", "import numpy as np\n", "\n", - "print(\"Running Cantera Version: \" + str(ct.__version__))" + "print(f\"Running Cantera Version: {ct.__version__}\")" ] }, { @@ -50,17 +50,19 @@ "metadata": {}, "outputs": [], "source": [ - "%matplotlib notebook\n", + "%matplotlib inline\n", + "%config InlineBackend.figure_formats = [\"svg\"]\n", "import matplotlib.pyplot as plt\n", "\n", - "plt.rcParams['figure.autolayout'] = True\n", + "plt.rcParams[\"figure.autolayout\"] = True\n", "\n", - "plt.rcParams['axes.labelsize'] = 14\n", - "plt.rcParams['xtick.labelsize'] = 12\n", - "plt.rcParams['ytick.labelsize'] = 12\n", - "plt.rcParams['legend.fontsize'] = 10\n", - "plt.rcParams['figure.facecolor'] = 'white'\n", - "plt.rcParams['figure.figsize'] = (8,6)" + "plt.rcParams[\"axes.labelsize\"] = 14\n", + "plt.rcParams[\"xtick.labelsize\"] = 12\n", + "plt.rcParams[\"ytick.labelsize\"] = 12\n", + "plt.rcParams[\"legend.fontsize\"] = 10\n", + "plt.rcParams[\"figure.facecolor\"] = \"white\"\n", + "plt.rcParams[\"figure.figsize\"] = (8, 6)\n", + "plt.rcParams[\"figure.dpi\"] = 120" ] }, { @@ -83,19 +85,19 @@ "\n", "# Define the gas-mixutre and kinetics\n", "# In this case, we are choosing a GRI3.0 gas\n", - "gas = ct.Solution('gri30.yaml')\n", + "gas = ct.Solution(\"gri30.yaml\")\n", "\n", "# Create a CH4/Air premixed mixture with equivalence ratio=0.75\n", - "gas.set_equivalence_ratio(0.75, 'CH4', {'O2':1.0, 'N2':3.76})\n", + "gas.set_equivalence_ratio(0.75, \"CH4\", {\"O2\": 1.0, \"N2\": 3.76})\n", "gas.TP = To, Po\n", "\n", "# Set the velocity of the reactants\n", "# This is what determines the strain-rate\n", - "axial_velocity = 2.0 # in m/s\n", + "axial_velocity = 2.0 # in m/s\n", "\n", "# Done with initial conditions\n", "# Compute the mass flux, as this is what the Flame object requires\n", - "massFlux = gas.density * axial_velocity # units kg/m2/s" + "mass_flux = gas.density * axial_velocity # units kg/m2/s" ] }, { @@ -111,70 +113,75 @@ "metadata": {}, "outputs": [], "source": [ - "\n", "def derivative(x, y):\n", " \"\"\"Differentiation function for data that has variable grid spacing.\n", " Used here to compute normal strain-rate.\n", " \"\"\"\n", - " dydx = np.zeros(y.shape, y.dtype.type)\n", + " dydx = np.zeros_like(y)\n", "\n", " dx = np.diff(x)\n", " dy = np.diff(y)\n", - " dydx[0:-1] = dy/dx\n", + " dydx[0:-1] = dy / dx\n", "\n", - " dydx[-1] = (y[-1] - y[-2])/(x[-1] - x[-2])\n", + " dydx[-1] = (y[-1] - y[-2]) / (x[-1] - x[-2])\n", "\n", " return dydx\n", "\n", - "def computeStrainRates(oppFlame):\n", + "\n", + "def compute_strain_rates(opposed_flame):\n", " # Compute the derivative of axial velocity to obtain normal strain rate\n", - " strainRates = derivative(oppFlame.grid, oppFlame.velocity)\n", + " strain_rates = derivative(opposed_flame.grid, opposed_flame.velocity)\n", "\n", " # Obtain the location of the max. strain rate upstream of the pre-heat zone.\n", " # This is the characteristic strain rate\n", - " maxStrLocation = abs(strainRates).argmax()\n", - " minVelocityPoint = oppFlame.velocity[:maxStrLocation].argmin()\n", + " max_strain_location = abs(strain_rates).argmax()\n", + " min_velocity_point = opposed_flame.velocity[:max_strain_location].argmin()\n", "\n", " # Characteristic Strain Rate = K\n", - " strainRatePoint = abs(strainRates[:minVelocityPoint]).argmax()\n", - " K = abs(strainRates[strainRatePoint])\n", + " strain_rate_point = abs(strain_rates[:min_velocity_point]).argmax()\n", + " K = abs(strain_rates[strain_rate_point])\n", + "\n", + " return strain_rates, strain_rate_point, K\n", "\n", - " return strainRates, strainRatePoint, K\n", "\n", - "def computeConsumptionSpeed(oppFlame):\n", + "def compute_consumption_speed(opposed_flame):\n", "\n", - " Tb = max(oppFlame.T)\n", - " Tu = min(oppFlame.T)\n", - " rho_u = max(oppFlame.density)\n", + " Tb = max(opposed_flame.T)\n", + " Tu = min(opposed_flame.T)\n", + " rho_u = max(opposed_flame.density)\n", "\n", - " integrand = oppFlame.heat_release_rate/oppFlame.cp\n", + " integrand = opposed_flame.heat_release_rate / opposed_flame.cp\n", "\n", - " I = np.trapz(integrand, oppFlame.grid)\n", - " Sc = I/(Tb - Tu)/rho_u\n", + " I = np.trapz(integrand, opposed_flame.grid)\n", + " Sc = I / (Tb - Tu) / rho_u\n", "\n", " return Sc\n", "\n", + "\n", "# This function is called to run the solver\n", - "def solveOpposedFlame(oppFlame, massFlux=0.12, loglevel=0,\n", - " ratio=2, slope=0.3, curve=0.3, prune=0.05):\n", + "def solve_opposed_flame(\n", + " opposed_flame, mass_flux=0.12, loglevel=0, ratio=2, slope=0.3, curve=0.3, prune=0.05\n", + "):\n", " \"\"\"\n", " Execute this function to run the Oppposed Flow Simulation This function\n", " takes a CounterFlowTwinPremixedFlame object as the first argument\n", " \"\"\"\n", "\n", - " oppFlame.reactants.mdot = massFlux\n", - " oppFlame.set_refine_criteria(ratio=ratio, slope=slope, curve=curve, prune=prune)\n", + " opposed_flame.reactants.mdot = mass_flux\n", + " opposed_flame.set_refine_criteria(\n", + " ratio=ratio, slope=slope, curve=curve, prune=prune\n", + " )\n", "\n", - " oppFlame.show_solution()\n", - " oppFlame.solve(loglevel, auto=True)\n", + " opposed_flame.show_solution()\n", + " opposed_flame.solve(loglevel, auto=True)\n", "\n", " # Compute the strain rate, just before the flame. This is not necessarily\n", " # the maximum We use the max. strain rate just upstream of the pre-heat zone\n", " # as this is the strain rate that computations comprare against, like when\n", " # plotting Su vs. K\n", - " strainRates, strainRatePoint, K = computeStrainRates(oppFlame)\n", + " _, strain_rate_point, K = compute_strain_rates(opposed_flame)\n", "\n", - " return np.max(oppFlame.T), K, strainRatePoint" + " return np.max(opposed_flame.T), K, strain_rate_point" ] }, { @@ -194,11 +201,11 @@ "width = 0.025\n", "\n", "# Create the flame object\n", - "oppFlame = ct.CounterflowTwinPremixedFlame(gas, width=width)\n", + "opposed_flame = ct.CounterflowTwinPremixedFlame(gas, width=width)\n", "\n", "# Uncomment the following line to use a Multi-component formulation. Default is\n", "# mixture-averaged\n", - "# oppFlame.transport_model = 'Multi'" + "# opposed_flame.transport_model = 'Multi'" ] }, { @@ -211,7 +218,10 @@ { "cell_type": "code", "execution_count": 6, - "metadata": {}, + "metadata": { + "scrolled": true, + "tags": [] + }, "outputs": [ { "name": "stdout", @@ -235,26 +245,26 @@ " Pressure: 1.013e+05 Pa\n", "\n", "-------------------------------------------------------------------------------\n", - " z u V T lambda eField \n", + " z velocity spread_rate T lambda eField \n", "-------------------------------------------------------------------------------\n", - " 0 2 0 300 0 0 \n", - " 0.005 1.6 32 300 0 0 \n", - " 0.01 1.2 64 300 0 0 \n", - " 0.0125 1 80 1110 0 0 \n", - " 0.015 0.8 96 1920 0 0 \n", - " 0.02 0.4 128 1920 0 0 \n", - " 0.025 0 160 1920 0 0 \n", + " 0 2 0 300 -2.903e+04 0 \n", + " 0.005 1.6 32 300 -2.903e+04 0 \n", + " 0.01 1.2 64 300 -2.903e+04 0 \n", + " 0.0125 1 80 1110 -2.903e+04 0 \n", + " 0.015 0.8 96 1920 -2.903e+04 0 \n", + " 0.02 0.4 128 1920 -2.903e+04 0 \n", + " 0.025 0 160 1920 -2.903e+04 0 \n", "\n", "-------------------------------------------------------------------------------\n", " z H2 H O O2 OH \n", "-------------------------------------------------------------------------------\n", " 0 0 0 0 0.2232 0 \n", " 0.005 0 0 0 0.2232 0 \n", - " 0.01 2.06e-21 9.354e-23 1.216e-20 0.2232 1.907e-19 \n", + " 0.01 2.06e-21 9.355e-23 1.216e-20 0.2232 1.907e-19 \n", " 0.0125 3.711e-06 1.685e-07 2.191e-05 0.1386 0.0003435 \n", - " 0.015 7.422e-06 3.37e-07 4.382e-05 0.05403 0.0006871 \n", - " 0.02 7.422e-06 3.37e-07 4.382e-05 0.05403 0.0006871 \n", - " 0.025 7.422e-06 3.37e-07 4.382e-05 0.05403 0.0006871 \n", + " 0.015 7.423e-06 3.37e-07 4.382e-05 0.05402 0.0006871 \n", + " 0.02 7.423e-06 3.37e-07 4.382e-05 0.05402 0.0006871 \n", + " 0.025 7.423e-06 3.37e-07 4.382e-05 0.05402 0.0006871 \n", "\n", "-------------------------------------------------------------------------------\n", " z H2O HO2 H2O2 C CH \n", @@ -262,7 +272,7 @@ " 0 0 0 0 0 0 \n", " 0.005 0 0 0 0 0 \n", " 0.01 2.604e-17 2.619e-22 1.513e-23 1.528e-38 1.236e-39 \n", - " 0.0125 0.04691 4.718e-07 2.725e-08 2.753e-23 2.226e-24 \n", + " 0.0125 0.04691 4.717e-07 2.725e-08 2.753e-23 2.226e-24 \n", " 0.015 0.09382 9.435e-07 5.45e-08 5.506e-23 4.452e-24 \n", " 0.02 0.09382 9.435e-07 5.45e-08 5.506e-23 4.452e-24 \n", " 0.025 0.09382 9.435e-07 5.45e-08 5.506e-23 4.452e-24 \n", @@ -274,9 +284,9 @@ " 0.005 0 0 0 0.04197 0 \n", " 0.01 4.048e-39 1.788e-40 3.885e-38 0.04197 6.135e-20 \n", " 0.0125 7.292e-24 3.22e-25 6.999e-23 0.02098 0.0001105 \n", - " 0.015 1.458e-23 6.441e-25 1.4e-22 0 0.0002211 \n", - " 0.02 1.458e-23 6.441e-25 1.4e-22 8.264e-23 0.0002211 \n", - " 0.025 1.458e-23 6.441e-25 1.4e-22 8.264e-23 0.0002211 \n", + " 0.015 1.458e-23 6.441e-25 1.4e-22 0 0.000221 \n", + " 0.02 1.458e-23 6.441e-25 1.4e-22 8.264e-23 0.000221 \n", + " 0.025 1.458e-23 6.441e-25 1.4e-22 8.264e-23 0.000221 \n", "\n", "-------------------------------------------------------------------------------\n", " z CO2 HCO CH2O CH2OH CH3O \n", @@ -307,20 +317,20 @@ " 0.005 0 0 0 0 0 \n", " 0.01 1.002e-56 7.332e-58 2.1e-41 3.353e-41 1.05e-44 \n", " 0.0125 1.805e-41 1.321e-42 3.783e-26 6.04e-26 1.892e-29 \n", - " 0.015 3.61e-41 2.641e-42 7.567e-26 1.208e-25 3.785e-29 \n", - " 0.02 3.61e-41 2.641e-42 7.567e-26 1.208e-25 3.785e-29 \n", - " 0.025 3.61e-41 2.641e-42 7.567e-26 1.208e-25 3.785e-29 \n", + " 0.015 3.61e-41 2.641e-42 7.566e-26 1.208e-25 3.784e-29 \n", + " 0.02 3.61e-41 2.641e-42 7.566e-26 1.208e-25 3.784e-29 \n", + " 0.025 3.61e-41 2.641e-42 7.566e-26 1.208e-25 3.784e-29 \n", "\n", "-------------------------------------------------------------------------------\n", " z N NH NH2 NH3 NNH \n", "-------------------------------------------------------------------------------\n", " 0 0 0 0 0 0 \n", " 0.005 0 0 0 0 0 \n", - " 0.01 3.232e-26 2.797e-27 8.651e-28 3.559e-27 4.476e-27 \n", - " 0.0125 5.822e-11 5.038e-12 1.559e-12 6.411e-12 8.062e-12 \n", - " 0.015 1.164e-10 1.008e-11 3.117e-12 1.282e-11 1.612e-11 \n", - " 0.02 1.164e-10 1.008e-11 3.117e-12 1.282e-11 1.612e-11 \n", - " 0.025 1.164e-10 1.008e-11 3.117e-12 1.282e-11 1.612e-11 \n", + " 0.01 3.232e-26 2.797e-27 8.652e-28 3.559e-27 4.476e-27 \n", + " 0.0125 5.822e-11 5.038e-12 1.559e-12 6.411e-12 8.063e-12 \n", + " 0.015 1.164e-10 1.008e-11 3.117e-12 1.282e-11 1.613e-11 \n", + " 0.02 1.164e-10 1.008e-11 3.117e-12 1.282e-11 1.613e-11 \n", + " 0.025 1.164e-10 1.008e-11 3.117e-12 1.282e-11 1.613e-11 \n", "\n", "-------------------------------------------------------------------------------\n", " z NO NO2 N2O HNO CN \n", @@ -329,9 +339,9 @@ " 0.005 0 0 0 0 0 \n", " 0.01 8.318e-19 1.205e-21 6.697e-23 2.279e-24 1.185e-33 \n", " 0.0125 0.001498 2.17e-06 1.206e-07 4.106e-09 2.135e-18 \n", - " 0.015 0.002997 4.341e-06 2.413e-07 8.212e-09 4.269e-18 \n", - " 0.02 0.002997 4.341e-06 2.413e-07 8.212e-09 4.269e-18 \n", - " 0.025 0.002997 4.341e-06 2.413e-07 8.212e-09 4.269e-18 \n", + " 0.015 0.002997 4.341e-06 2.413e-07 8.212e-09 4.27e-18 \n", + " 0.02 0.002997 4.341e-06 2.413e-07 8.212e-09 4.27e-18 \n", + " 0.025 0.002997 4.341e-06 2.413e-07 8.212e-09 4.27e-18 \n", "\n", "-------------------------------------------------------------------------------\n", " z HCN H2CN HCNN HCNO HOCN \n", @@ -362,9 +372,9 @@ " 0.005 0 0 0 \n", " 0.01 4.325e-77 1.343e-47 2.414e-48 \n", " 0.0125 7.791e-62 2.42e-32 4.349e-33 \n", - " 0.015 1.558e-61 4.84e-32 8.698e-33 \n", - " 0.02 1.558e-61 4.84e-32 8.698e-33 \n", - " 0.025 1.558e-61 4.84e-32 8.698e-33 \n", + " 0.015 1.558e-61 4.84e-32 8.697e-33 \n", + " 0.02 1.558e-61 4.84e-32 8.697e-33 \n", + " 0.025 1.558e-61 4.84e-32 8.697e-33 \n", "\n", "\n", ">>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> products <<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<\n", @@ -402,7 +412,7 @@ "##############################################################################\n", "Refining grid in flame.\n", " New points inserted after grid points 1 2 3 4 5 \n", - " to resolve C2H2 C2H4 C2H6 CH CH2 CH2(S) CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCN HCO HNCO HO2 N2 N2O NO NO2 O O2 OH T V point 1 point 4 u \n", + " to resolve C2H2 C2H4 C2H6 CH CH2 CH2(S) CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCN HCO HNCO HO2 N2 N2O NO NO2 O O2 OH T point 1 point 4 spread_rate velocity \n", "##############################################################################\n", "\n", "..............................................................................\n", @@ -418,7 +428,7 @@ "##############################################################################\n", "Refining grid in flame.\n", " New points inserted after grid points 2 4 5 6 7 8 9 10 \n", - " to resolve C C2H2 C2H3 C2H4 C2H5 C2H6 C3H8 CH CH2 CH2(S) CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCN HCO HNCO HO2 N2 N2O NO NO2 O O2 OH T V point 2 point 7 u \n", + " to resolve C C2H2 C2H3 C2H4 C2H5 C2H6 C3H8 CH CH2 CH2(S) CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCN HCO HNCO HO2 N2 N2O NO NO2 O O2 OH T point 2 point 7 spread_rate velocity \n", "##############################################################################\n", "\n", "..............................................................................\n", @@ -436,7 +446,7 @@ "##############################################################################\n", "Refining grid in flame.\n", " New points inserted after grid points 1 4 9 10 11 12 13 17 18 \n", - " to resolve C C2H2 C2H3 C2H4 C2H6 CH CH2 CH2(S) CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCN HCO HNCO HO2 N2 N2O NO NO2 O O2 OH T V point 1 point 4 u \n", + " to resolve C C2H2 C2H3 C2H4 C2H6 CH CH2 CH2(S) CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCN HCO HNCO HO2 N2 N2O NO NO2 O O2 OH T point 1 point 4 spread_rate velocity \n", "##############################################################################\n", "\n", "..............................................................................\n", @@ -450,18 +460,20 @@ "##############################################################################\n", "Refining grid in flame.\n", " New points inserted after grid points 0 10 14 15 16 17 18 23 26 27 \n", - " to resolve C C2H2 C2H3 C2H4 C2H5 C2H6 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCN HCO HNCO HO2 N2 N2O NO NO2 O O2 OH T V point 0 point 10 point 23 u \n", + " to resolve C C2H2 C2H3 C2H4 C2H5 C2H6 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCN HCO HNCO HO2 N2 N2O NO NO2 O O2 OH T point 0 point 10 point 23 spread_rate velocity \n", "##############################################################################\n", "\n", "..............................................................................\n", "Attempt Newton solution of steady-state problem... failure. \n", "Take 10 timesteps 7.594e-05 6.15\n", "Attempt Newton solution of steady-state problem... failure. \n", - "Take 10 timesteps 7.208e-05 6.137\n", + "Take 10 timesteps 7.208e-05 6.136\n", "Attempt Newton solution of steady-state problem... failure. \n", "Take 10 timesteps 0.0001368 5.859\n", "Attempt Newton solution of steady-state problem... failure. \n", - "Take 10 timesteps 0.0001732 5.516\n", + "Take 10 timesteps 0.0001299 5.765\n", + "Attempt Newton solution of steady-state problem... failure. \n", + "Take 10 timesteps 0.002219 3.793\n", "Attempt Newton solution of steady-state problem... success.\n", "\n", "Problem solved on [39] point grid(s).\n", @@ -470,21 +482,19 @@ "##############################################################################\n", "Refining grid in flame.\n", " New points inserted after grid points 24 25 26 27 28 36 37 \n", - " to resolve C C2H2 C2H3 C2H4 C2H5 C2H6 C3H8 CH CH2 CH2(S) CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCN HCO HNCO HO2 N2 N2O NO NO2 O O2 OH T V u \n", + " to resolve C C2H2 C2H3 C2H4 C2H5 C2H6 C3H8 CH CH2 CH2(S) CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCN HCO HNCO HO2 N2 N2O NO NO2 O O2 OH T spread_rate velocity \n", "##############################################################################\n", - "refine: discarding point at 0.0148437\n", + "refine: discarding point at 0.01484375\n", "\n", "..............................................................................\n", "Attempt Newton solution of steady-state problem... failure. \n", - "Take 10 timesteps 5.695e-05 5.868\n", - "Attempt Newton solution of steady-state problem... failure. \n", - "Take 10 timesteps 7.208e-05 6.08\n", + "Take 10 timesteps 5.695e-05 5.871\n", "Attempt Newton solution of steady-state problem... failure. \n", - "Take 10 timesteps 0.0002737 5.145\n", + "Take 10 timesteps 7.208e-05 6.079\n", "Attempt Newton solution of steady-state problem... failure. \n", - "Take 10 timesteps 0.0001948 5.71\n", + "Take 10 timesteps 3.849e-05 5.896\n", "Attempt Newton solution of steady-state problem... failure. \n", - "Take 10 timesteps 0.003329 3.349\n", + "Take 10 timesteps 0.0002923 5.341\n", "Attempt Newton solution of steady-state problem... success.\n", "\n", "Problem solved on [45] point grid(s).\n", @@ -493,10 +503,10 @@ "##############################################################################\n", "Refining grid in flame.\n", " New points inserted after grid points 28 29 30 31 32 33 \n", - " to resolve C C2H2 C2H3 C2H4 C2H5 C2H6 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCN HCO HNCO HO2 N2 N2O NO NO2 O O2 OH T V u \n", + " to resolve C C2H2 C2H3 C2H4 C2H5 C2H6 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCN HCO HNCO HO2 N2 N2O NO NO2 O O2 OH T spread_rate velocity \n", "##############################################################################\n", - "refine: discarding point at 0.0170313\n", - "refine: discarding point at 0.0173438\n", + "refine: discarding point at 0.01703125\n", + "refine: discarding point at 0.01734375\n", "\n", "..............................................................................\n", "Attempt Newton solution of steady-state problem... failure. \n", @@ -509,16 +519,16 @@ "##############################################################################\n", "Refining grid in flame.\n", " New points inserted after grid points 30 31 32 33 34 35 36 \n", - " to resolve C C2H2 C2H3 C2H4 C2H5 C2H6 C3H7 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCCOH HCN HCO HNCO HO2 N2 N2O NO NO2 O O2 OH T V u \n", + " to resolve C C2H2 C2H3 C2H4 C2H5 C2H6 C3H7 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCCOH HCN HCO HNCO HO2 N2 N2O NO NO2 O O2 OH T spread_rate velocity \n", "##############################################################################\n", "\n", "..............................................................................\n", "Attempt Newton solution of steady-state problem... failure. \n", "Take 10 timesteps 0.0001139 5.78\n", "Attempt Newton solution of steady-state problem... failure. \n", - "Take 10 timesteps 0.0005767 5.313\n", + "Take 10 timesteps 0.0005767 5.352\n", "Attempt Newton solution of steady-state problem... failure. \n", - "Take 10 timesteps 0.0004105 5.218\n", + "Take 10 timesteps 0.0003079 5.432\n", "Attempt Newton solution of steady-state problem... success.\n", "\n", "Problem solved on [56] point grid(s).\n", @@ -527,15 +537,15 @@ "##############################################################################\n", "Refining grid in flame.\n", " New points inserted after grid points 29 34 39 40 41 42 43 44 \n", - " to resolve C C2H2 C2H3 C2H4 C2H5 C2H6 C3H7 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCCOH HCN HCNO HCO HNCO HO2 N2 N2O NO NO2 O O2 OH T point 29 point 34 u \n", + " to resolve C C2H2 C2H3 C2H4 C2H5 C2H6 C3H7 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCCOH HCN HCNO HCO HNCO HO2 N2 N2O NO NO2 O O2 OH T point 29 point 34 velocity \n", "##############################################################################\n", - "refine: discarding point at 0.0179688\n", + "refine: discarding point at 0.017968750000000002\n", "\n", "..............................................................................\n", "Attempt Newton solution of steady-state problem... failure. \n", "Take 10 timesteps 0.0001709 5.602\n", "Attempt Newton solution of steady-state problem... failure. \n", - "Take 10 timesteps 0.001297 4.467\n", + "Take 10 timesteps 0.001297 4.468\n", "Attempt Newton solution of steady-state problem... success.\n", "\n", "Problem solved on [63] point grid(s).\n", @@ -544,14 +554,14 @@ "##############################################################################\n", "Refining grid in flame.\n", " New points inserted after grid points 45 46 47 48 49 50 51 52 \n", - " to resolve C2H2 C2H3 C2H4 C2H5 C2H6 C3H7 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCCOH HCN HCO HNCO HO2 N2 NO NO2 O O2 OH T point 46 u \n", + " to resolve C2H2 C2H3 C2H4 C2H5 C2H6 C3H7 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCCOH HCN HCO HNCO HO2 N2 NO NO2 O O2 OH T point 46 velocity \n", "##############################################################################\n", - "refine: discarding point at 0.0184375\n", - "refine: discarding point at 0.01875\n", + "refine: discarding point at 0.018437500000000002\n", + "refine: discarding point at 0.018750000000000003\n", "\n", "..............................................................................\n", "Attempt Newton solution of steady-state problem... failure. \n", - "Take 10 timesteps 0.0002563 5.243\n", + "Take 10 timesteps 0.0002563 5.242\n", "Attempt Newton solution of steady-state problem... failure. \n", "Take 10 timesteps 0.001946 4.415\n", "Attempt Newton solution of steady-state problem... success.\n", @@ -562,12 +572,12 @@ "##############################################################################\n", "Refining grid in flame.\n", " New points inserted after grid points 42 50 51 52 53 54 55 56 57 \n", - " to resolve C2H2 C2H3 C2H4 C2H5 C2H6 C3H7 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCCOH HCN HCO HNCO HO2 N2 NO2 O O2 OH T point 42 point 53 u \n", + " to resolve C2H2 C2H3 C2H4 C2H5 C2H6 C3H7 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCCOH HCN HCO HNCO HO2 N2 NO2 O O2 OH T point 42 point 53 velocity \n", "##############################################################################\n", - "refine: discarding point at 0.0182813\n", - "refine: discarding point at 0.0185938\n", - "refine: discarding point at 0.0189063\n", - "refine: discarding point at 0.0192188\n", + "refine: discarding point at 0.018281250000000002\n", + "refine: discarding point at 0.018593750000000003\n", + "refine: discarding point at 0.018906250000000003\n", + "refine: discarding point at 0.019218750000000003\n", "\n", "..............................................................................\n", "Attempt Newton solution of steady-state problem... success.\n", @@ -580,8 +590,8 @@ " New points inserted after grid points 52 53 54 55 56 57 58 59 60 61 \n", " to resolve C2H2 C2H3 C2H4 C2H5 C2H6 C3H7 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO H H2 H2O H2O2 HCCO HCCOH HCN HCO HNCO HO2 N2 NO2 O O2 OH T point 61 \n", "##############################################################################\n", - "refine: discarding point at 0.0196875\n", - "refine: discarding point at 0.0199219\n", + "refine: discarding point at 0.019687500000000004\n", + "refine: discarding point at 0.019921875000000006\n", "\n", "..............................................................................\n", "Attempt Newton solution of steady-state problem... success.\n", @@ -594,7 +604,7 @@ " New points inserted after grid points 49 50 54 55 56 57 58 59 60 61 \n", " to resolve C2H2 C2H3 C2H4 C2H5 C2H6 C3H8 CH CH2 CH2(S) CH2CO CH2OH CH3 CH3CHO CH3O HCCO HCO \n", "##############################################################################\n", - "refine: discarding point at 0.0195313\n", + "refine: discarding point at 0.019531250000000003\n", "\n", "..............................................................................\n", "Attempt Newton solution of steady-state problem... success.\n", @@ -646,14 +656,14 @@ "# The solver returns the peak temperature, strain rate and\n", "# the point which we ascribe to the characteristic strain rate.\n", "\n", - "(T, K, strainRatePoint) = solveOpposedFlame(oppFlame, massFlux, loglevel=1)\n", + "T, K, strain_rate_point = solve_opposed_flame(opposed_flame, mass_flux, loglevel=1)\n", "\n", - "# You can plot/see all state space variables by calling oppFlame.foo where foo\n", - "# is T, Y[i], etc. The spatial variable (distance in meters) is in oppFlame.grid\n", - "# Thus to plot temperature vs distance, use oppFlame.grid and oppFlame.T\n", + "# You can plot/see all state space variables by calling opposed_flame.foo where foo\n", + "# is T, Y[i], etc. The spatial variable (distance in meters) is in opposed_flame.grid\n", + "# Thus to plot temperature vs distance, use opposed_flame.grid and opposed_flame.T\n", "\n", - "# Uncomment this is to save output\n", - "# oppFlame.write_csv(\"premixed_twin_flame.csv\", quiet=False)" + "# Uncomment this to save output\n", + "# opposed_flame.write_csv(\"premixed_twin_flame.csv\", quiet=False)" ] }, { @@ -665,18 +675,18 @@ "name": "stdout", "output_type": "stream", "text": [ - "Peak temperature: 1921.0 K\n", + "Peak temperature: 1920.9 K\n", "Strain Rate: 163.7 1/s\n", "Consumption Speed: 21.00 cm/s\n" ] } ], "source": [ - "Sc = computeConsumptionSpeed(oppFlame)\n", + "Sc = compute_consumption_speed(opposed_flame)\n", "\n", - "print(\"Peak temperature: {0:.1f} K\".format(T))\n", - "print(\"Strain Rate: {0:.1f} 1/s\".format(K))\n", - "print(\"Consumption Speed: {0:.2f} cm/s\".format(Sc*100))" + "print(f\"Peak temperature: {T:.1f} K\")\n", + "print(f\"Strain Rate: {K:.1f} 1/s\")\n", + "print(f\"Consumption Speed: {Sc * 100:.2f} cm/s\")" ] }, { @@ -702,791 +712,1192 @@ "outputs": [ { "data": { - "application/javascript": [ - "/* Put everything inside the global mpl namespace */\n", - "window.mpl = {};\n", - "\n", - "\n", - "mpl.get_websocket_type = function() {\n", - " if (typeof(WebSocket) !== 'undefined') {\n", - " return WebSocket;\n", - " } else if (typeof(MozWebSocket) !== 'undefined') {\n", - " return MozWebSocket;\n", - " } else {\n", - " alert('Your browser does not have WebSocket support.' +\n", - " 'Please try Chrome, Safari or Firefox ≥ 6. 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" ] }, "metadata": {}, @@ -2317,10 +3049,10 @@ "source": [ "plt.figure()\n", "\n", - "plt.plot(oppFlame.grid*100, oppFlame.T, 'b-s', lw=2)\n", - "plt.xlim(oppFlame.grid[0], oppFlame.grid[-1]*100)\n", - "plt.xlabel('Distance (cm)')\n", - "plt.ylabel('Temperature (K)');" + "plt.plot(opposed_flame.grid * 100, opposed_flame.T, \"b-s\", lw=2)\n", + "plt.xlim(opposed_flame.grid[0] * 100, opposed_flame.grid[-1] * 100)\n", + "plt.xlabel(\"Distance (cm)\")\n", + "plt.ylabel(\"Temperature (K)\");" ] }, { @@ -2330,6 +3062,19 @@ "#### Major Species' Plot" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "To plot species, we first have to identify the index of the species in the array.\n", + "For this, cut & paste the following lines and run in a new cell to get the index\n", + "\n", + "```python\n", + "for i, specie in enumerate(gas.species()):\n", + " print(f\"{i}. {specie}\")\n", + "```" + ] + }, { "cell_type": "code", "execution_count": 10, @@ -2337,791 +3082,1650 @@ "outputs": [ { "data": { - "application/javascript": [ - "/* Put everything inside the global mpl namespace */\n", - "window.mpl = {};\n", - "\n", - "\n", - "mpl.get_websocket_type = function() {\n", - " if (typeof(WebSocket) !== 'undefined') {\n", - " return WebSocket;\n", - " } else if (typeof(MozWebSocket) !== 'undefined') {\n", - " return MozWebSocket;\n", - " } else {\n", - " alert('Your browser does not have WebSocket support.' +\n", - " 'Please try Chrome, Safari or Firefox ≥ 6. ' +\n", - " 'Firefox 4 and 5 are also supported but you ' +\n", - " 'have to enable WebSockets in about:config.');\n", - " };\n", - "}\n", - "\n", - "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n", - " this.id = figure_id;\n", - "\n", - " this.ws = websocket;\n", - "\n", - " this.supports_binary = (this.ws.binaryType != undefined);\n", - "\n", - " if (!this.supports_binary) {\n", - " var warnings = document.getElementById(\"mpl-warnings\");\n", - " if (warnings) {\n", - " warnings.style.display = 'block';\n", - " warnings.textContent = (\n", - " \"This browser does not support binary websocket messages. \" +\n", - " \"Performance may be slow.\");\n", - " }\n", - " }\n", - "\n", - " this.imageObj = new Image();\n", - "\n", - " this.context = undefined;\n", - " this.message = undefined;\n", - " this.canvas = undefined;\n", - " this.rubberband_canvas = undefined;\n", - " this.rubberband_context = undefined;\n", - " this.format_dropdown = undefined;\n", - "\n", - " this.image_mode = 'full';\n", - "\n", - " this.root = $('
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');\n", - "\n", - " canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n", - "\n", - " function canvas_keyboard_event(event) {\n", - " return fig.key_event(event, event['data']);\n", - " }\n", - "\n", - " canvas_div.keydown('key_press', canvas_keyboard_event);\n", - " canvas_div.keyup('key_release', canvas_keyboard_event);\n", - " this.canvas_div = canvas_div\n", - " this._canvas_extra_style(canvas_div)\n", - " this.root.append(canvas_div);\n", - "\n", - " var canvas = $('');\n", - " canvas.addClass('mpl-canvas');\n", - " canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n", - "\n", - " this.canvas = canvas[0];\n", - " this.context = canvas[0].getContext(\"2d\");\n", - "\n", - " var backingStore = this.context.backingStorePixelRatio ||\n", - "\tthis.context.webkitBackingStorePixelRatio ||\n", - "\tthis.context.mozBackingStorePixelRatio ||\n", - "\tthis.context.msBackingStorePixelRatio ||\n", - "\tthis.context.oBackingStorePixelRatio ||\n", - "\tthis.context.backingStorePixelRatio || 1;\n", - "\n", - " mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n", - "\n", - " var rubberband = $('');\n", - " rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n", - "\n", - " var pass_mouse_events = true;\n", - "\n", - " canvas_div.resizable({\n", - " start: function(event, ui) {\n", - " pass_mouse_events = false;\n", - " },\n", - " resize: function(event, ui) {\n", - " fig.request_resize(ui.size.width, ui.size.height);\n", - " },\n", - " stop: function(event, ui) {\n", - " pass_mouse_events = true;\n", - " fig.request_resize(ui.size.width, ui.size.height);\n", - " },\n", - " });\n", - "\n", - " function mouse_event_fn(event) {\n", - " if (pass_mouse_events)\n", - " return fig.mouse_event(event, event['data']);\n", - " }\n", - "\n", - " rubberband.mousedown('button_press', mouse_event_fn);\n", - " rubberband.mouseup('button_release', mouse_event_fn);\n", - " // Throttle sequential mouse events to 1 every 20ms.\n", - " rubberband.mousemove('motion_notify', mouse_event_fn);\n", - "\n", - " rubberband.mouseenter('figure_enter', mouse_event_fn);\n", - " rubberband.mouseleave('figure_leave', mouse_event_fn);\n", - "\n", - " canvas_div.on(\"wheel\", function (event) {\n", - " event = event.originalEvent;\n", - " event['data'] = 'scroll'\n", - " if (event.deltaY < 0) {\n", - " event.step = 1;\n", - " } else {\n", - " event.step = -1;\n", - " }\n", - " mouse_event_fn(event);\n", - " });\n", - "\n", - " canvas_div.append(canvas);\n", - " canvas_div.append(rubberband);\n", - "\n", - " this.rubberband = rubberband;\n", - " this.rubberband_canvas = rubberband[0];\n", - " this.rubberband_context = rubberband[0].getContext(\"2d\");\n", - " this.rubberband_context.strokeStyle = \"#000000\";\n", - "\n", - " this._resize_canvas = function(width, height) {\n", - " // Keep the size of the canvas, canvas container, and rubber band\n", - " // canvas in synch.\n", - " canvas_div.css('width', width)\n", - " canvas_div.css('height', height)\n", - "\n", - " canvas.attr('width', width * mpl.ratio);\n", - " canvas.attr('height', height * mpl.ratio);\n", - " canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n", - "\n", - " rubberband.attr('width', width);\n", - " rubberband.attr('height', height);\n", - " }\n", - "\n", - " // Set the figure to an initial 600x600px, this will subsequently be updated\n", - " // upon first draw.\n", - " this._resize_canvas(600, 600);\n", - "\n", - " // Disable right mouse context menu.\n", - " $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n", - " return false;\n", - " });\n", - "\n", - " function set_focus () {\n", - " canvas.focus();\n", - " canvas_div.focus();\n", - " }\n", - "\n", - " window.setTimeout(set_focus, 100);\n", - "}\n", - "\n", - "mpl.figure.prototype._init_toolbar = function() {\n", - " var fig = this;\n", - "\n", - " var nav_element = $('
')\n", - " nav_element.attr('style', 'width: 100%');\n", - " this.root.append(nav_element);\n", - "\n", - " // Define a callback function for later on.\n", - " function toolbar_event(event) {\n", - " return fig.toolbar_button_onclick(event['data']);\n", - " }\n", - " function toolbar_mouse_event(event) {\n", - " return fig.toolbar_button_onmouseover(event['data']);\n", - " }\n", - "\n", - " for(var toolbar_ind in mpl.toolbar_items) {\n", - " var name = mpl.toolbar_items[toolbar_ind][0];\n", - " var tooltip = mpl.toolbar_items[toolbar_ind][1];\n", - " var image = mpl.toolbar_items[toolbar_ind][2];\n", - " var method_name = mpl.toolbar_items[toolbar_ind][3];\n", - "\n", - " if (!name) {\n", - " // put a spacer in here.\n", - " continue;\n", - " }\n", - " var button = $('');\n", - " button.click(method_name, toolbar_event);\n", - " button.mouseover(tooltip, toolbar_mouse_event);\n", - " nav_element.append(button);\n", - " }\n", - "\n", - " // Add the status bar.\n", - " var status_bar = $('');\n", - " nav_element.append(status_bar);\n", - " this.message = status_bar[0];\n", - "\n", - " // Add the close button to the window.\n", - " var buttongrp = $('
');\n", - " var button = $('');\n", - " button.click(function (evt) { fig.handle_close(fig, {}); } );\n", - " button.mouseover('Stop Interaction', toolbar_mouse_event);\n", - " buttongrp.append(button);\n", - " var titlebar = this.root.find($('.ui-dialog-titlebar'));\n", - " titlebar.prepend(buttongrp);\n", - "}\n", - "\n", - "mpl.figure.prototype._root_extra_style = function(el){\n", - " var fig = this\n", - " el.on(\"remove\", function(){\n", - "\tfig.close_ws(fig, {});\n", - " });\n", - "}\n", - "\n", - "mpl.figure.prototype._canvas_extra_style = function(el){\n", - " // this is important to make the div 'focusable\n", - " el.attr('tabindex', 0)\n", - " // reach out to IPython and tell the keyboard manager to turn it's self\n", - " // off when our div gets focus\n", - "\n", - " // location in version 3\n", - " if (IPython.notebook.keyboard_manager) {\n", - " IPython.notebook.keyboard_manager.register_events(el);\n", - " }\n", - " else {\n", - " // location in version 2\n", - " IPython.keyboard_manager.register_events(el);\n", - " }\n", - "\n", - "}\n", - "\n", - "mpl.figure.prototype._key_event_extra = function(event, name) {\n", - " var manager = IPython.notebook.keyboard_manager;\n", - " if (!manager)\n", - " manager = IPython.keyboard_manager;\n", - "\n", - " // Check for shift+enter\n", - " if (event.shiftKey && event.which == 13) {\n", - " this.canvas_div.blur();\n", - " event.shiftKey = false;\n", - " // Send a \"J\" for go to next cell\n", - " event.which = 74;\n", - " event.keyCode = 74;\n", - " manager.command_mode();\n", - " manager.handle_keydown(event);\n", - " }\n", - "}\n", - "\n", - "mpl.figure.prototype.handle_save = function(fig, msg) {\n", - " fig.ondownload(fig, null);\n", - "}\n", - "\n", - "\n", - "mpl.find_output_cell = function(html_output) {\n", - " // Return the cell and output element which can be found *uniquely* in the notebook.\n", - " // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n", - " // IPython event is triggered only after the cells have been serialised, which for\n", - " // our purposes (turning an active figure into a static one), is too late.\n", - " var cells = IPython.notebook.get_cells();\n", - " var ncells = cells.length;\n", - " for (var i=0; i= 3 moved mimebundle to data attribute of output\n", - " data = data.data;\n", - " }\n", - " if (data['text/html'] == html_output) {\n", - " return [cell, data, j];\n", - " }\n", - " }\n", - " }\n", - " }\n", - "}\n", - "\n", - "// Register the function which deals with the matplotlib target/channel.\n", - "// The kernel may be null if the page has been refreshed.\n", - "if (IPython.notebook.kernel != null) {\n", - " IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n", - "}\n" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/html": [ - "" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.figure()\n", - "plt.plot(timeHistory.index, timeHistory['oh'],'-o',color='b',markersize=4)\n", - "plt.xlabel('Time (s)',fontname='Times New Roman')\n", - "plt.ylabel('$\\mathdefault{OH\\, mass\\, fraction,}\\, Y_{OH}}$',fontname='Times New Roman')\n", - "\n", - "# Figure formatting:\n", - "plt.xlim([0,0.00075])\n", - "ax = plt.gca()\n", - "font = plt.matplotlib.font_manager.FontProperties(family='Times New Roman',size=14)\n", - "ax.annotate(\"\",xy=(tau,0.005), xytext=(0,0.005),arrowprops=dict(arrowstyle=\"<|-|>\",color='r',linewidth=2.0),fontsize=14,)\n", - "plt.annotate('Ignition Delay Time (IDT)', xy=(0,0), xytext=(0.00004, 0.00525), family='Times New Roman',fontsize=16);\n", - "\n", - "for tick in ax.xaxis.get_major_ticks():\n", - " tick.label1.set_fontsize(12)\n", - " tick.label1.set_fontname('Times New Roman')\n", - "for tick in ax.yaxis.get_major_ticks():\n", - " tick.label1.set_fontsize(12)\n", - " tick.label1.set_fontname('Times New Roman')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Illustration : NTC behavior\n", - "In the paper by Kogekar, et al., the reactor model is used to demonstrate the impacts of non-ideal behavior on IDTs in the **N**egative **T**emperature **C**oefficient region, where observed IDTs, counter to intuition, increase with increasing temperature." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Define the temperatures for which we will run the simulations" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [], - "source": [ - "# Make a list of all the temperatures we would like to run simulations at\n", - "T = [1800, 1600, 1400, 1200, 1100, 1075, 1050, 1025, 1000, 975, 950, 925, 900, 850, 825, 800,\n", - " 750, 700]\n", - "\n", - "# Set the initial guesses to a common value. We could probably speed up simulations \n", - "# by tuning this guess, but as seen in the figure above, the 'extra' time after igntion \n", - "# does not add many data points or simulation steps. The time savings would be small.\n", - "estimatedIgnitionDelayTimes = np.ones_like(T) * 0.005\n", - "\n", - "# Now create a DataFrame out of these\n", - "ignitionDelays = pd.DataFrame(data={'T':T})\n", - "ignitionDelays['ignDelay'] = np.nan" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Run the code above for each temperature, and save the IDT for each." - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Computed Ignition Delay: 6.357e-07 seconds for T=1800K. Took 2.36s to compute\n", - "Computed Ignition Delay: 1.585e-06 seconds for T=1600K. Took 2.67s to compute\n", - "Computed Ignition Delay: 5.785e-06 seconds for T=1400K. Took 2.71s to compute\n", - "Computed Ignition Delay: 3.911e-05 seconds for T=1200K. Took 3.00s to compute\n", - "Computed Ignition Delay: 1.326e-04 seconds for T=1100K. Took 3.14s to compute\n", - "Computed Ignition Delay: 1.839e-04 seconds for T=1075K. Took 3.32s to compute\n", - "Computed Ignition Delay: 2.533e-04 seconds for T=1050K. Took 3.45s to compute\n", - "Computed Ignition Delay: 3.365e-04 seconds for T=1025K. Took 3.97s to compute\n", - "Computed Ignition Delay: 4.093e-04 seconds for T=1000K. Took 4.06s to compute\n", - "Computed Ignition Delay: 4.289e-04 seconds for T=975K. Took 4.01s to compute\n", - "Computed Ignition Delay: 3.911e-04 seconds for T=950K. Took 3.94s to compute\n", - "Computed Ignition Delay: 3.407e-04 seconds for T=925K. Took 4.10s to compute\n", - "Computed Ignition Delay: 3.145e-04 seconds for T=900K. Took 3.74s to compute\n", - "Computed Ignition Delay: 3.233e-04 seconds for T=850K. Took 4.12s to compute\n", - "Computed Ignition Delay: 3.439e-04 seconds for T=825K. Took 4.26s to compute\n", - "Computed Ignition Delay: 3.852e-04 seconds for T=800K. Took 4.51s to compute\n", - "Computed Ignition Delay: 6.824e-04 seconds for T=750K. Took 4.37s to compute\n", - "Computed Ignition Delay: 2.056e-03 seconds for T=700K. Took 4.67s to compute\n" - ] - } - ], - "source": [ - "for i, temperature in enumerate(T):\n", - " # Set up the gas and reactor\n", - " reactorTemperature = temperature\n", - " reactorPressure = 40.0*101325.0\n", - " gas.TP = reactorTemperature, reactorPressure\n", - " gas.set_equivalence_ratio(phi=1.0, fuel='c12h26', oxidizer={'o2':1.0, 'n2':3.76})\n", - " r = ct.Reactor(contents=gas)\n", - " reactorNetwork = ct.ReactorNet([r])\n", - "\n", - " # Create an empty data frame\n", - " timeHistory = pd.DataFrame(columns=timeHistory.columns)\n", - "\n", - " t0 = time.time()\n", - "\n", - " t = 0\n", - " counter = 0\n", - " while t < estimatedIgnitionDelayTimes[i]:\n", - " t = reactorNetwork.step()\n", - " if not counter % 20:\n", - " timeHistory.loc[t] = r.get_state()\n", - " counter += 1\n", - "\n", - " tau = ignitionDelay(timeHistory, 'oh')\n", - " t1 = time.time()\n", - "\n", - " print(f'Computed Ignition Delay: {tau:.3e} seconds for T={temperature}K. Took {t1 - t0:3.2f}s to compute')\n", - "\n", - " ignitionDelays.at[i, 'ignDelay'] = tau" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Figure: ignition delay ($\\tau$) vs. the inverse of temperature ($\\frac{1000}{T}$). " - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [ - { - "data": { - "application/javascript": [ - "/* Put everything inside the global mpl namespace */\n", - "window.mpl = {};\n", - "\n", - "\n", - "mpl.get_websocket_type = function() {\n", - " if (typeof(WebSocket) !== 'undefined') {\n", - " return WebSocket;\n", - " } else if (typeof(MozWebSocket) !== 'undefined') {\n", - " return MozWebSocket;\n", - " } else {\n", - " alert('Your browser does not have WebSocket support.' +\n", - " 'Please try Chrome, Safari or Firefox ≥ 6. ' +\n", - " 'Firefox 4 and 5 are also supported but you ' +\n", - " 'have to enable WebSockets in about:config.');\n", - " };\n", - "}\n", - "\n", - "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n", - " this.id = figure_id;\n", - "\n", - " this.ws = websocket;\n", - "\n", - " this.supports_binary = (this.ws.binaryType != undefined);\n", - "\n", - " if (!this.supports_binary) {\n", - " var warnings = document.getElementById(\"mpl-warnings\");\n", - " if (warnings) {\n", - " warnings.style.display = 'block';\n", - " warnings.textContent = (\n", - " \"This browser does not support binary websocket messages. \" +\n", - " \"Performance may be slow.\");\n", - " }\n", - " }\n", - "\n", - " this.imageObj = new Image();\n", - "\n", - " this.context = undefined;\n", - " this.message = undefined;\n", - " this.canvas = undefined;\n", - " this.rubberband_canvas = undefined;\n", - " this.rubberband_context = undefined;\n", - " this.format_dropdown = undefined;\n", - "\n", - " this.image_mode = 'full';\n", - "\n", - " this.root = $('
');\n", - " this._root_extra_style(this.root)\n", - " this.root.attr('style', 'display: inline-block');\n", - "\n", - " $(parent_element).append(this.root);\n", - "\n", - " this._init_header(this);\n", - " this._init_canvas(this);\n", - " this._init_toolbar(this);\n", - "\n", - " var fig = this;\n", - "\n", - " this.waiting = false;\n", - "\n", - " this.ws.onopen = function () {\n", - " fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n", - " fig.send_message(\"send_image_mode\", {});\n", - " if (mpl.ratio != 1) {\n", - " fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n", - " }\n", - " fig.send_message(\"refresh\", {});\n", - " }\n", - "\n", - " this.imageObj.onload = function() {\n", - " if (fig.image_mode == 'full') {\n", - " // Full images could contain transparency (where diff images\n", - " // almost always do), so we need to clear the canvas so that\n", - " // there is no ghosting.\n", - " fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n", - " }\n", - " fig.context.drawImage(fig.imageObj, 0, 0);\n", - " };\n", - "\n", - " this.imageObj.onunload = function() {\n", - " fig.ws.close();\n", - " }\n", - "\n", - " this.ws.onmessage = this._make_on_message_function(this);\n", - "\n", - " this.ondownload = ondownload;\n", - "}\n", - "\n", - "mpl.figure.prototype._init_header = function() {\n", - " var titlebar = $(\n", - " '
');\n", - " var titletext = $(\n", - " '
');\n", - " titlebar.append(titletext)\n", - " this.root.append(titlebar);\n", - " this.header = titletext[0];\n", - "}\n", - "\n", - "\n", - "\n", - "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n", - "\n", - "}\n", - "\n", - "\n", - "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n", - "\n", - "}\n", - "\n", - "mpl.figure.prototype._init_canvas = function() {\n", - " var fig = this;\n", - "\n", - " var canvas_div = $('
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" ] }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/html": [ - "" - ], - "text/plain": [ - "" - ] + "metadata": { + "needs_background": "light" }, - "metadata": {}, "output_type": "display_data" } ], "source": [ - "plt.plot(phi, T_complete, label='complete combustion', lw=2)\n", - "plt.plot(phi, T_incomplete, label='incomplete combustion', lw=2)\n", + "plt.plot(phi, T_complete, label=\"complete combustion\", lw=2)\n", + "plt.plot(phi, T_incomplete, label=\"incomplete combustion\", lw=2)\n", "plt.grid(True)\n", - "plt.xlabel('Equivalence ratio, $\\phi$')\n", - "plt.ylabel('Temperature [K]');" + "plt.xlabel(r\"Equivalence ratio, $\\phi$\")\n", + "plt.ylabel(\"Temperature [K]\");" ] } ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -911,9 +1284,9 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.1" + "version": "3.9.12" } }, "nbformat": 4, - "nbformat_minor": 1 + "nbformat_minor": 4 } diff --git a/thermo/heating_value.ipynb b/thermo/heating_value.ipynb index c996410..8f37e4d 100644 --- a/thermo/heating_value.ipynb +++ b/thermo/heating_value.ipynb @@ -29,24 +29,43 @@ "name": "stdout", "output_type": "stream", "text": [ - "LHV = 50.026 MJ/kg\n" + "Using Cantera version: 2.6.0a4\n" ] } ], "source": [ "import cantera as ct\n", - "gas = ct.Solution('gri30.yaml')\n", + "\n", + "print(f\"Using Cantera version: {ct.__version__}\")" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "LHV = 50.025 MJ/kg\n" + ] + } + ], + "source": [ + "gas = ct.Solution(\"gri30.yaml\")\n", "\n", "# Set reactants state\n", - "gas.TPX = 298, 101325, 'CH4:1, O2:2'\n", + "gas.TPX = 298, 101325, \"CH4:1, O2:2\"\n", "h1 = gas.enthalpy_mass\n", - "Y_CH4 = gas['CH4'].Y[0] # returns an array, of which we only want the first element\n", + "Y_CH4 = gas[\"CH4\"].Y[0] # returns an array, of which we only want the first element\n", "\n", "# set state to complete combustion products without changing T or P\n", - "gas.TPX = None, None, 'CO2:1, H2O:2' \n", + "gas.TPX = None, None, \"CO2:1, H2O:2\"\n", "h2 = gas.enthalpy_mass\n", "\n", - "print('LHV = {:.3f} MJ/kg'.format(-(h2-h1)/Y_CH4/1e6))" + "LHV = -(h2 - h1) / Y_CH4 / 1e6\n", + "print(f\"LHV = {LHV:.3f} MJ/kg\")" ] }, { @@ -60,14 +79,14 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "HHV = 55.512 MJ/kg\n" + "HHV = 55.511 MJ/kg\n" ] } ], @@ -81,8 +100,9 @@ "h_gas = water.h\n", "\n", "# Calculate higher heating value\n", - "Y_H2O = gas['H2O'].Y[0]\n", - "print('HHV = {:.3f} MJ/kg'.format(-(h2-h1 + (h_liquid-h_gas) * Y_H2O)/Y_CH4/1e6))" + "Y_H2O = gas[\"H2O\"].Y[0]\n", + "HHV = -(h2 - h1 + (h_liquid - h_gas) * Y_H2O) / Y_CH4 / 1e6\n", + "print(f\"HHV = {HHV:.3f} MJ/kg\")" ] }, { @@ -90,12 +110,12 @@ "metadata": {}, "source": [ "## Generalizing to arbitrary species\n", - "We can generalize this calculation by determining the composition of the products automatically rather than directly specifying the product composition. This can be done by computing the *elemental mole fractions* of the reactants mixture and noting that for complete combustion, all of the carbon ends up as CO$_2$, all of the hydrogen ends up as H$_2$O, and all of the nitrogen ends up as N$_2$. From this, we can compute the ratio of these species in the products." + "We can generalize this calculation by determining the composition of the products automatically rather than directly specifying the product composition. This can be done by computing the *elemental mole fractions* of the reactants mixture and noting that for complete combustion, all of the carbon ends up as $\\mathrm{CO}_2$, all of the hydrogen ends up as $\\mathrm{H}_2\\mathrm{O}$, and all of the nitrogen ends up as $\\mathrm{N}_2$. From this, we can compute the ratio of these species in the products." ] }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 5, "metadata": {}, "outputs": [ { @@ -103,46 +123,49 @@ "output_type": "stream", "text": [ "fuel LHV (MJ/kg) HHV (MJ/kg)\n", - "H2 119.959 141.788\n", - "CH4 50.026 55.512\n", + "H2 119.952 141.780\n", + "CH4 50.025 55.511\n", "C2H6 47.511 51.901\n", - "C3H8 46.352 50.344\n", - "NH3 18.604 22.480\n", + "C3H8 46.352 50.343\n", + "NH3 18.604 22.479\n", "CH3OH 21.104 23.851\n" ] } ], "source": [ "def heating_value(fuel):\n", - " \"\"\" Returns the LHV and HHV for the specified fuel \"\"\"\n", + " \"\"\"Returns the LHV and HHV for the specified fuel\"\"\"\n", " gas.TP = 298, ct.one_atm\n", - " gas.set_equivalence_ratio(1.0, fuel, 'O2:1.0')\n", + " gas.set_equivalence_ratio(1.0, fuel, \"O2:1.0\")\n", " h1 = gas.enthalpy_mass\n", " Y_fuel = gas[fuel].Y[0]\n", "\n", " # complete combustion products\n", - " Y_products = {'CO2': gas.elemental_mole_fraction('C'),\n", - " 'H2O': 0.5 * gas.elemental_mole_fraction('H'),\n", - " 'N2': 0.5 * gas.elemental_mole_fraction('N')}\n", + " X_products = {\n", + " \"CO2\": gas.elemental_mole_fraction(\"C\"),\n", + " \"H2O\": 0.5 * gas.elemental_mole_fraction(\"H\"),\n", + " \"N2\": 0.5 * gas.elemental_mole_fraction(\"N\"),\n", + " }\n", "\n", - " gas.TPX = None, None, Y_products\n", - " Y_H2O = gas['H2O'].Y[0]\n", + " gas.TPX = None, None, X_products\n", + " Y_H2O = gas[\"H2O\"].Y[0]\n", " h2 = gas.enthalpy_mass\n", - " LHV = -(h2-h1)/Y_fuel\n", - " HHV = -(h2-h1 + (h_liquid-h_gas) * Y_H2O)/Y_fuel\n", + " LHV = -(h2 - h1) / Y_fuel / 1e6\n", + " HHV = -(h2 - h1 + (h_liquid - h_gas) * Y_H2O) / Y_fuel / 1e6\n", " return LHV, HHV\n", "\n", - "fuels = ['H2', 'CH4', 'C2H6', 'C3H8', 'NH3', 'CH3OH']\n", - "print('fuel LHV (MJ/kg) HHV (MJ/kg)')\n", + "\n", + "fuels = [\"H2\", \"CH4\", \"C2H6\", \"C3H8\", \"NH3\", \"CH3OH\"]\n", + "print(\"fuel LHV (MJ/kg) HHV (MJ/kg)\")\n", "for fuel in fuels:\n", " LHV, HHV = heating_value(fuel)\n", - " print('{:8s} {:7.3f} {:7.3f}'.format(fuel, LHV/1e6, HHV/1e6))" + " print(f\"{fuel:8s} {LHV:7.3f} {HHV:7.3f}\")" ] } ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -156,9 +179,9 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.1" + "version": "3.9.12" } }, "nbformat": 4, - "nbformat_minor": 1 + "nbformat_minor": 4 }