{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Advection and Diffusion in Spherical Coordinates with PyFVTool\n", "\n", "In this notebook, we will solve the advection equation in spherical coordinates using the finite volume method. The notebook serves principally for testing the implementation of 'spherical' advection and diffusion terms in `PyFVTool`, but also for illustrating their use. \n", "\n", "The notebook contains several examples of advection and diffusion equations, and first attempts at visualizing 3D spherical results (suggestions welcome!)." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import sys\n", "import os\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from mpl_toolkits.mplot3d import Axes3D\n", "from tqdm import tqdm" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import pyfvtool as pf" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When working with random numbers (`numpy.random`), set the random seed explicitly.\n", "This is good practice.\n", "Make sure that you trust your random number generator to be sufficiently \n", "random (Numpy's default is OK).\n", "With a fixed value for the initial seed, you are sure to always obtain the same\n", "sequence of random numbers from run to run. This makes testing more practical.\n", "If you want to have a different sequence of random numbers, manually change the\n", "seed, but make sure that you remember which seed number was used." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# Set the random seed explicitly\n", "np.random.seed(seed=12345)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## First explorations of the spherical finite volume elements" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "X = np.array([0.01, 0.1, 0.3, 0.5, 0.55, 1.0])\n", "Y = np.array([0.0, 0.1, 1.0, 1.5, 2.9, 3.0, np.pi, np.pi])\n", "Z = np.array([0.0, 0.01, 0.1, 0.5, 0.7, 0.95, 1.0, 1.25, 1.39, 2.0])\n", "m_non = pf.SphericalGrid3D(X, Y, Z)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "19.739208802178716 19.739208802178716\n", "3.141592653589793 3.1415926535897936\n" ] } ], "source": [ "# test the volume calculations\n", "x = np.linspace(0.0, 1.0, 10)\n", "y = np.linspace(0.0, 2*np.pi, 10)\n", "z = np.linspace(0.0, 2*np.pi, 20)\n", "mc = pf.CylindricalGrid3D(x, y, z)\n", "vc = mc._getCellVolumes()\n", "v_cyl = np.pi*x[-1]**2*z[-1]\n", "print(v_cyl, np.sum(vc))\n", "\n", "mp = pf.PolarGrid2D(x, y)\n", "vp = mp._getCellVolumes()\n", "v_pol = np.pi*x[-1]*x[-1]\n", "print(v_pol, np.sum(vp))\n" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "4.1887902047863905 4.144349016011306\n" ] } ], "source": [ "x = np.linspace(0.0, 1.0, 5)\n", "y = np.linspace(0.0, np.pi, 10)\n", "z = np.linspace(0.0, 2*np.pi, 10)\n", "ms = pf.SphericalGrid3D(x, y, z)\n", "vs = ms._getCellVolumes()\n", "v_sph = 4/3*np.pi*x[-1]**3\n", "print(v_sph, np.sum(vs))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Diffusion equations: spherical and cylindrical coordinates, 1D and 3D\n", "\n", "Solving a diffusion equation with \"no flux\" concentration at the \"left boundary\" (the center) and a fixed concentration on the \"right boundary\" (the outer surface).\n", "\n", "The same equation is solved in spherical and cylindrical coordinates. Both 1D and 3D geometries are used to test consistency." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "# Calculation parameters\n", "def diffusion_spherical(mesh, t_simulation=7200.0, dt=60.0):\n", " c_left = 1.0 # left boundary concentration\n", " c_init = 0.0 # initial concentration\n", " D_val = 1e-5 # diffusion coefficient (gas phase)\n", "\n", " # Create a cell variable with initial concentration\n", " # By default, 'no flux' boundary conditions are applied\n", " c = pf.CellVariable(mesh, c_init)\n", "\n", " # Switch the right boundary to Dirichlet: fixed concentration\n", " c.BCs.right.a = 0.0\n", " c.BCs.right.b = 1.0\n", " c.BCs.right.c = c_left\n", " if type(mesh) == pf.SphericalGrid3D:\n", " # make top and bottom boundaries periodic\n", " c.BCs.back.periodic = True\n", " c.BCs.front.periodic = True\n", "\n", " # Assign diffusivity to cells\n", " D_cell = pf.CellVariable(mesh, D_val)\n", " D_face = pf.geometricMean(\n", " D_cell\n", " ) # average value of diffusivity at the interfaces between cells\n", "\n", " # Time loop\n", " t = 0\n", " while t < t_simulation:\n", " # Compose discretized terms for matrix equation\n", " eqnterms = [pf.transientTerm(c, dt, 1.0), -pf.diffusionTerm(D_face)]\n", "\n", " # Solve PDE\n", " pf.solvePDE(c, eqnterms)\n", " t += dt\n", " return c" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "# Calculation parameters\n", "Nx = 20 # number of finite volume cells\n", "Ntheta = 6 # number of cells in the theta direction; avoid theta=0 and theta=pi\n", "Nphi = 5 # number of cells in the phi direction\n", "Lx = 1.0 # [m] length of the domain\n", "\n", "# Define mesh\n", "mesh1 = pf.SphericalGrid1D(Nx, Lx)\n", "c1 = diffusion_spherical(mesh1)\n", "mesh3 = pf.SphericalGrid3D(Nx, Ntheta, Nphi, Lx, np.pi, 2 * np.pi)\n", "c3 = diffusion_spherical(mesh3)\n", "mesh1_rad = pf.CylindricalGrid1D(Nx, Lx)\n", "c1_rad = diffusion_spherical(mesh1_rad)\n", "mesh3_cyl = pf.CylindricalGrid3D(Nx, Ntheta, Nphi, Lx, 2 * np.pi, 2 * np.pi)\n", "c3_cyl = diffusion_spherical(mesh3_cyl)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(mesh1.cellcenters.r, c1.value, \"--\", label=\"1D spherical\")\n", "plt.plot(mesh3.cellcenters.r, c3.value[:, 0, 0], label=\"3D spherical\")\n", "plt.plot(mesh1_rad.cellcenters.r, c1_rad.value, \"--\", label=\"1D Cylindrical\")\n", "plt.plot(mesh3_cyl.cellcenters.r, c3_cyl.value[:, 0, 0], label=\"3D cylindrical\")\n", "plt.xlabel(\"r [m]\")\n", "plt.ylabel(\"Concentration [-]\")\n", "plt.ylim(-0.05, 1.05)\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Spherical advection in 3D (with visualization)\n", "\n", "The spherical geometry defined here is that of a layer of a certain thickness at the surface of sphere, *e.g.* a virtual atmosphere on the surface of a virtual Earth." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "r_earth = 6.371e6 # Earth radius [m]\n", "v_wind_max = 10.0 # wind speed [m/s]\n", "# ignoring diffusion\n", "Nr = 20 # number of cells in the r direction\n", "Ntheta = 36 # number of cells in the theta direction\n", "Nphi = 36 # number of cells in the phi direction\n", "Lr = 20e3 # [m] length of the domain in the r direction\n", "r_face = np.linspace(r_earth, r_earth + Lr, Nr + 1)\n", "theta_face = np.linspace(0, np.pi, Ntheta + 1)\n", "phi_face = np.linspace(0, 2 * np.pi, Nphi + 1)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "mesh = pf.SphericalGrid3D(r_face, theta_face, phi_face)\n", "c = pf.CellVariable(mesh, 0.0)\n", "# assign a concentration of 1.0 to 20 random locations\n", "c.value[0, np.random.randint(0, Ntheta, 50), np.random.randint(0, Nphi, 50)] = 1000.0" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "# Set boundary conditions\n", "\n", "# left boundary is a fixed concentration\n", "c.BCs.left.a[:] = 0.0\n", "c.BCs.left.b[:] = 1.0\n", "c.BCs.left.c[:] = 0.0\n", "\n", "## assign a concentration of 1.0 to a patch of left boundary\n", "# c.BCs.left.c[0:10, 0:10] = 1.0\n", "## right boundary is a fixed concentration\n", "# c.BCs.right.a[:] = 0.0\n", "# c.BCs.right.b[:] = 1.0\n", "# c.BCs.right.c[:] = 0.0\n", "## top and bottom boundaries are periodic\n", "# c.BCs.top.periodic = True\n", "# c.BCs.bottom.periodic = True\n", "\n", "c.BCs.back.periodic = True\n", "c.BCs.front.periodic = True" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "# create a constant velocity field\n", "v = pf.FaceVariable(mesh, [0.1, 10, 10])\n", "convectionterm = pf.convectionUpwindTerm(v)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100% completed\n" ] } ], "source": [ "# Time loop\n", "t = 0\n", "dt = 10000.0\n", "n_steps = 5\n", "for i in tqdm(range(n_steps), bar_format=\"{desc}: {percentage:3.0f}% completed\"):\n", " eqn = [pf.transientTerm(c, dt, 1.0),\n", " convectionterm]\n", " c = pf.solvePDE(c, eqn)\n", " t += dt" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[1.12474992e-06 5.89347319e-07 3.07788221e-07 ... 1.12448870e-05\n", " 5.96680735e-06 3.15333897e-06]\n", " [1.46808022e-07 6.96918445e-08 3.42636345e-08 ... 3.24891256e-06\n", " 1.23095334e-06 5.05690564e-07]\n", " [1.83629659e-08 8.06864630e-09 3.76258740e-09 ... 5.81033744e-07\n", " 1.97060868e-07 7.19942449e-08]\n", " ...\n", " [3.98893067e-02 5.35021522e-02 4.33750566e-02 ... 1.05030469e+00\n", " 5.38012959e-01 2.08924694e-01]\n", " [1.10233675e+01 1.05738399e+01 7.10617623e+00 ... 2.95071442e-01\n", " 1.96481799e-01 1.03522821e-01]\n", " [4.79304997e+00 6.42472561e+00 6.85747726e+00 ... 1.26437721e+00\n", " 8.84223832e-01 6.02753851e-01]]\n" ] } ], "source": [ "print(c.value[0, :, :])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Visualization\n", "\n", "Meaningful and insightful visualization of 3D spherical and cylindrical FVM results can be quite challenging. It requires thinking carefully on how to best present the features that illustrate the results of your calculations. Of course, it also requires to have right code to make the drawing.\n", "\n", "The visualization is part of the 'post-processing' of numerical calculations. (BTW, already for relatively simple cases, it is wise to separate the number cruching code from the post-processing, by storing the calculation results in a file. This avoids having to wait over and over again for the same calculation to terminate.)\n", "\n", "Here, we show our first suggestions for the graphical output of 3D spherical (and cylindrical) FVM results." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# visualize the result: use a polar plot for plotting a 'slice' at a certain value of 'phi'\n", "# (lemon - or mellon - style slice)\n", "\n", "# select the 'phi' using its index\n", "iphi = 5\n", "\n", "r = mesh.cellcenters.r\n", "theta = mesh.cellcenters.theta\n", "phi = mesh.cellcenters.phi\n", "\n", "R, Theta = np.meshgrid(r, theta)\n", "X = R * np.sin(Theta)\n", "Y = R * np.cos(Theta)\n", "Z = c.value[:, :, iphi].transpose() \n", "fig = plt.figure()\n", "phideg = np.rad2deg(phi[iphi])\n", "fig.suptitle(f'phi = {phideg}°')\n", "ax = fig.add_subplot(111, polar=True)\n", "# set the color range between 0 and 1\n", "cax = ax.pcolormesh(Theta, R, Z, cmap=\"viridis\")\n", "fig.colorbar(cax, label=\"Concentration [-]\")\n", "# zoom in to the region of interest\n", "ax.set_ylim([r_earth - Lr, r_earth + Lr])\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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WiwVqtVreh8CB8Yu7a0TOfZ+OOnGVSgWVSgWdToeRkRFERUU57PA9uZMU+ntKRa1WY8mSJSgsLMTIyAgsFgumpqag1Wo9QrjOBIgoeBly/eHcx45mqLS2tiIiIsLGVBdypbizE3cHXL/45OQkjEYj+vr6XO7MueLlqFMW8ouLtWU6cSnvvbe3F4ODg4iKinLr5zSX0DQ9I9Hy9/eHVqtFU1MTYmJioNVqYTQaoVariTDMAUQUZpnZ6sT55+c+5vvDGRzNSmloaEBoaKjdjI/Z6sSldtbOAp784CYA1NbWinbQOp1O0H/Oby+1E58NvL3jm4mlwKBSqeDv74/S0lKsXLmSdSfNxAokSIOIAg+5HTf38Uw78fmcZsichz/CY4K07nSpMAj5xfkjbK1W69Ttwuxra2tDb28vFi1a5NJnQHAP7hAFmqaRkJCA+vp61NbWIjMzkyxsmyOIKADYtm0bOjo68Mtf/hKA4xkqXCiKwsGDB7Fo0SLodLo5m6HiDEeduFjAk6ZpVFdXC05TlOMXV6vV0Ol0Tt0us+EX9/YRNmD/HfNG3CEKzOK3xYsXo7i4GIGBgYiMjCQL2+aAeRWFb7/9Fs888wyOHj2Kjo4O7Ny5E1deeaXDY/bt24etW7eisrIS0dHReOCBB3DHHXfYtPnoo4/w0EMPoaGhASkpKXjiiSewceNG0XO2tLSgpqZGcJTurBNnRi8zMWvdPdXQFb84RVEIDg6GXq8XbSv0WRDcz0L4jN1hKVAUBV9fX+Tl5aG0tBT+/v7w9fUlC9tmmXkVhdHRUSxatAi33HILrr76aqftGxsbcckll2Dz5s3YsWMHCgsLcddddyEsLIw9vri4GJs2bcLjjz+OjRs3YufOnbjuuutw4MABrFq1SvC8arUaRqNRslnK9YtTFIWRkRFMTU3J9oszj+XOF+f6xR11+HL84s3NzQgLC4Ofn5+k9p7KQhhpezvuch8x5wgPD0dCQgJKSkqwevVqACCB51lkXkVhw4YN2LBhg+T2f/vb3xAfH4/nn38eAJCVlYUjR47g2WefZUXh+eefx4UXXogHH3wQAPDggw9i3759eP755/H+++8DACYnJ3H48GEMDw9jeHgY33//PcrLy/HrX/8aubm5WLFihWS/ODAd2BQLWsrxi89ncJN0qPPPQvgbuFsUACAtLQ2Dg4OorKxEfn4+zGYzFAoFWdg2C3jVJ1pcXIz169fb7Lvooouwbds2duRQXFyM++67z64NIyQAMDQ0hJ/85Cfw9/eHv78/+vv70dfXh5MnTyIpKUmWX7yoqAh5eXkwGAxz8RHMGgtBFBbKqNHb34erosA9xmKx2MXo8vPzUVRUhJaWFsTFxZGFbbOEV4lCZ2cnIiIibPZFRETAZDKhp6cHUVFRom06OzvZ52FhYTh58iT7/NVXX8U//vEPfPDBB7LvSaFQeH1nCnh/R0TwHNxlKfA7e61Wi8WLF+PIkSMICAhAQEAAWdg2C3idxPL/+NyZMY7aOPrSMItjXL0fbkzAm1kI4ubt78Hb7x+YHfcRQ1BQENLS0lBaWsquUzEajQvic/MUvEoUIiMjbUb8ANDV1QWVSoWQkBCHbfjWAxeNRoOpqSmX7mkhWQoL4X0sBLx91DvT7xGzvkfsc0hISEBgYCDKyspAURSGh4cxOjo6o2sSpvEqUSgoKMDevXtt9u3ZswfLly9np4SKtVmzZo3oebVarcuisFAsBSIKBHfhDksBEBdHJnHexMQEGhoaUF9fj+bmZrsJIATXmFdRYPKnl5SUALBOOS0pKUFzczMA68yhm266iW1/xx134OTJk9i6dSuqq6vxxhtvYNu2bbj//vvZNvfeey/27NmDp556CjU1NXjqqafwxRdfYMuWLaL3wUxJdYWF0pkuhPfh7SNsgLiPmOMBOAwgMwvbmpqaMDExAYVCAaPRuCAGaPPNvIrCkSNHsGTJEixZsgQAsHXrVixZsgR/+MMfAAAdHR2sQABAUlISdu/ejW+++QaLFy/G448/jr/+9a82axzWrFmDDz74AG+++Sby8/Oxfft2fPjhh6JrFACr+8hVUWAyc3o7C0EUgIXRqXq7uM1UFJjfk7Nz+Pv7IycnB0NDQ+yiTRJfmDnzOvto3bp1Dv+A27dvt9t3zjnn4NixYw7Pe8011+Caa66RfB+M+8iVL/NC6Uy9vSNaKCyE75Kz35HFYhFc/6PT6RAUFCQ4eUSM6Oho1NXVoa2tDUlJSQCsWQaYFfgE+XjVlNTZggSarSyU90FwL0JJER2t3B8fH0dLSws6OzvtXuOmYeHn0hofH8fy5cvZVfVSO3UfHx9MTEygtrYW2dnZJHHeDCGigJmJAgk0ew4LZWTojvfhqCMX+9/Ra/yOnL8an78q39fXFwaDwWFbfhqW9vZ2lJaWYtmyZbI/h4SEBDQ0NCAwMBBRUVEkcd4MIKIAYikAC0MUvB0mp5bFYsHY2JjkzlxK1TdHnTiTisVZG6nFggYGBhAeHo7Q0FBZ7z8+Ph79/f2orq5m71sKFosFWq0W+fn5KCkpgb+/P/R6PUmc5yJEFDDzxWsLoTNdKO9jrt8DNzniTEbizP8Mhw8fdtpB8+svOyoYNNefiatpLnJzc1FYWMg+l3O9sLAwJCUloaSkBAUFBQBI4jxXIKIA4j4CFo4oSIFfM2Im7hV+0SCxDprbkTvqxHt7e9HV1YWlS5fO4yc0M2Yy+0itViMzMxMlJSXo7+9HUFCQpOsxwpeSkoKBgQFUVFRg0aJFJHGeC5BPClZRYPyvcr88C8V95OlIKRw0MDCA8fFx1NbWOuzghVKVO8pey2S5dVaL2R0j8vksA+ouZjol1c/PDxRFobS0FGvWrIFGo5F8PW7ivJMnTyIhIYGNL5DAszSIKMDqPgKsKbXligKxFMSRGuiU0obfkQt10IwL0JmP3BNSlS9kXP0ecUvSKpVKBAQEoLy8HEuXLnU6xZX7ukajweLFi/Hdd9/BYDDAYDDAaDQuCMGdC4goAOxIZGpqCnq9XtaxC8VSYMRNqFSnq24VbkfuaJTNlPHk+8jlduSnTp1CS0sLUlJS5upjmxW8veMSynAqB4vFAoVCgby8PBQWFqKpqYldgyD1eoGBgcjIyEBpaSkKCgrYBaokvuAcIgqYFgVXgs3z7YuXMvVQSsc+OTmJ/v5+1NbWsu/LVbfKTCrAnekshAHGTOspMMer1Wp2xB8UFITAwEDB4/iWAkNcXBz6+/tRVlaGZcuWsZUSycI2x3iEKLzyyit45pln0NHRgZycHDz//PM4++yzBdvefPPNeOutt+z2Z2dno7KyEoB1JfQtt9xi12Z8fBw6nc5uP9dSkAtFUbITcTEduTvmj89k6iH39RMnTiAoKAixsbGSpx56Gt52v2J4+/twR5ZU5jMIDAxEamoqSkpKsHbtWsFa6GKWCUVRyMnJwcGDB3H8+HGkpaWRhW0SmHdR+PDDD7Flyxa88sorWLt2LV577TVs2LABVVVViI+Pt2v/wgsv4P/9v//HPjeZTFi0aBGuvfZam3YBAQHsqJdBSBCA6WCjI1EQm3o4Pj4Oo9GI1tZWl6YeMl9QRyNupiazMxfMTEx2tVoNjUbjNKhHIDjDHbmPuMcnJiair68P5eXlWLJkiax6KUzivOLiYgQFBSEkJAR9fX0ICgoiM5JEmPdP5S9/+QtuvfVW/PznPwdgrbH8+eef49VXX8Wf/vQnu/ZM4IjhP//5D/r7++0sA4qiEBkZKXrdb7/9FqWlpRgeHsbg4CAA4Je//CUUCgUeffRRh3WZuVMPmZF6b2+vTQftbOohdzGQp7BQXBfejLffP+CeLKnc3wVFUcjLy2NnFCUmJtq0F3MfMfj5+SE3NxdlZWVYtWoVioqKsG7dOgQEBHi9VTYbzKsoTE1N4ejRo/jNb35js3/9+vUoKiqSdI5t27bhggsuQEJCgs3+kZERJCQkwGw2sxlVmWysAHD06FHs27cP/v7+8PPzg1KpRExMDJKSkhAeHg6NRiPaoXO/sE1NTRgdHUVOTs4MPon5Z75jI4RpFkJHNVNR4B+v0WiwaNEiHDlyBEFBQTYDQykiFBUVhYGBAZSVlbHHkMCzMPMqCj09PTCbzU5rKovR0dGBTz/9FO+9957N/szMTGzfvh15eXkYGhrCCy+8gLVr16K0tBRpaWkAgPvuuw/33XcfAOsX5KOPPsJtt92G5cuXy3oPC2n20UJ4H7PBpYm3AwA+aXptnu/EO3CHpSBWijMlJQUlJSVYs2YNG1+QOtspIyMDhw4dAgDWyicL2+zxiE9Dbk1lhu3btyMwMBBXXnmlzf7Vq1dj9erV7PO1a9di6dKlePHFF/HXv/5V8FxqtdrlQDNZp+AZCH1n1huusttHg/8+7Y+jTu+jFNMByYuCrgMAKESmLRsXJUN3Z5fNvv9d9qLDe7a7Ny//GwDum30kRFJSEvr6+lBRUYHFixfLup5CoUBOTg6KiorQ2dmJ2NhYdv2CJ7lx55t5FYXQ0FAolUrZNZUB6xfhjTfewI033ug0OKpQKLBixQrU19eLtnG10A6xFDyDCw1X2Xf2FCXU34PZSdE0wJmFQnPiRjRoUABoi/1nYhm2xqAohQLUokx2v3J0EsZnDTh53fQ5M195GPvO2Wl3joicMtH34s3uDGf1lZ0dy3wPHZXizM/PR2FhIZqbmxEXFwfAcZU2LkxfUVtbC4PBAD8/P0xNTUGr1Xr15+5O5lUUNBoNli1bhr1792Ljxo3s/r179+KHP/yhw2P37duH48eP49Zbb3V6HZqmUVJSgry8PMHXKYpyOf/RQrEUvInr/vlj/CGyxGbfc/8DnGkaV/R+tWmR7YtTRlCnBYJ2MMWY4nc+dScFWiVjT8G/2WeTvK+VRkOhszJ/+pyn9wWllTq8f29iprOPHHXyTHzh6NGjCAgIkHU95jtAEueJM+/uo61bt+LGG2/E8uXLUVBQgNdffx3Nzc244447AFjrNLe1teHtt9+2OW7btm1YtWoVcnNz7c756KOPYvXq1UhLS8PQ0BD++te/oqSkBC+//LLofczEfeTNI2wGT34f1/3zx3gw5Hv2+YMhANeoc+V3/Mz7pWD6na1bL7Seh6kNPDgCADD39AKgAIqCgrFGg6cTtCk0WsFzB38LXP+t1W313gMf2b0+MTn9Oeu0CtAAJqdodFbmQw0gRgv01Vn/Jt4mFHKqpjk6h7Pjg4ODkZyczAaO5aTZpigKKSkpGBwcZN1QzMI2oXUQZxrzLgqbNm1Cb28vHnvsMXR0dCA3Nxe7d+9mZxPx6zQDwODgID766CO88MILguccGBjAbbfdhs7OThgMBixZsgTffvstVq5cKXofxH3kOaLw/VfZNs8fDLH+bzJN359C4bgTkNJH3Pjv09bpGut/kV/1AgAsgf6gaBpKAObefig0GlDBQRjODUX8phPs8b+PsHbYN9Zu4J15lH105dGLAQA7l3xmf48KYGLSamVq1NM3PDGJ0/uAnpp8VryC08VdTp7CXIkCACQnJ6Onpwfj4+OyLAVmYWZeXh6Ki4vR1NSExMREsrDtNBTtKT3BPLN69Wps3rwZ1113nazjurq6cPLkSaxYsWKW7mxuqK2thVKpRGpq6rxcP/OBB/H+xR8DAKamTo/YBTwIRpNNGEAQpdLaQfy9VzxfzubQE3b7FJwAxK+ums6f9PzHDU5FRqWi4ESnoOZ0/EJtua+z7RS2gsEQmuk5AkHTtE26lKNHj7IWvMlkkrRy32QyITo6GtnZ2WhubkZXV5ekmYBDQ0MoKipCVlaW3bR0sfaHDx/GBRdcAMA6wDx8+DCWLl2KoKAg1pV8Jgee591S8BQ0Gg0mJydlH7eQLIW5JvOBB/HWef8BALx1HsB47xQKa+dvFgjVMILwtx7hpHcalfVv8TPDCfzMYN/x/3pTMgDgflj/p+D8x28yT8esuR8TRQEqJQWLhQZtAbiRCErgtJNTNK7+/gr8b9UuCMSvMTlFQ6WyXkB5+niLZdrdxIiGUmG1IJh9hhT5LiZHqVacdd7chZ1CqcgB4MSJEzZrfJjHGo1GcGEnAFRUVCAwMFBWQj3G3VNXV4egoCA2xuDofXPPbTAYkJmZaZc470yu2EZE4TRneqB5rtxHmQ88CLPC6qbbcd4nAIB3emPY128IarMRg60N01OLs4K77c73M8Nxwev8epO9aAi9OxoWKCQIA2iApqzBbEYcrj9mdQ19sPQzWMy07ejfYuvimqKs7/m9xR/hskNXi17mf6t2QaWiBAURRhpqte1r5kkaxpp8VjAG1bskdeomk4k9B+MyEerEHSU/FEtffuDAAaxYsUK2GyY3Nxfl5eWIj4+XXXUtMTGRXb/gaN2B0Orn2NhYNnHe8uXLYTabz+jAMxGF07gaU/AkX/xMmc33kfab+60PFMBFeSUAbMUAAI70xeFIX5zg8U/GFrOP+bHA3/3Y3k0k56dsgQVPvmdvVfz+BqsrzXjancWM/pm+fke+NU7AFQfbEzPHUVDT1ps2Uka8t9g++HxDiVUoLjt0OYIKp3N0vf/Av9jHZotVBMrM1vOu9FXY7FepAAMuBwB04V+iNSX4+9zpKplJTCEiIgK9vb1ob2+3WbHsCKaTT01NRX9/PyorK5Gfny96fSErhEmcV1xcjPr6emRkZJzRC9vOvHcsgquWgkKhWDCWgrvfxw/W/BIdP7DO0Pn76v8BAP41GmvTZs8hq+85OG3Q7niuEHAREgE+NKzvRYp7iC8ITH/yxPtWK8RCW4WAtliFgXlusdBQKCg7cQBOWw+Mxp7uxJXKaXEArALB8N7ij/D79nOsTzYC/Tutn9OPnr7G7n7ff+BfKDPTODxm+/eyioT1WsG4GjABOqUC+pgSp5+Bu5hpoDkjIwOdnZ0YHR113hi2gWOm4lpbWxtiY2MF24vlSVIqlViyZAmKi4sRGBiI8PBwNvB8psUXiCic5ky3FNz5Phgx+PsDe232/2s0lhUBIcRE4A838wOIjl0+3EVs9GlPvwLCrgwhC0EKXGEAYCMO9zx3Oe768nK27Sv/3y4AgJkjDgBsBIJP0MZW9jEjEAw/evoaBDSNAwB+8eL/2P2MSKz0VYAZ4E5MWjBRlw+dVgF9Qons9ymXmYqCUqlEZGQkWlpa0Nvbi5CQEKfXY66l0+mQn5+P77//HgaDAf7+/oLtxTp5vV6P3NxcVFRUYPXq1fDx8TkjF7YRUTjNTCwFIgpWfrDmlwCAx3hiMDlF45cH+NM2rbx41qcA7Gfe2AsBg/UeLTDbdPT2qStsscB2Qdr/e09o0ZlzGGsBmBYGALjh2PrpRudYJyyE7rNaSXc9YxUIvjgAVoFg+puno6eTQD7QvoZ9zBUIwFYkXv7lZexjRiAOj1lY1xIAqFRWcTA1WBfsuRKYlspMU1wA1uCxwWBAWVkZ1q5d6zBjAX/kHxoaioSEBHZhGt/94yyjamRkJAYGBlBSUoLVq1fDYrGccfEFIgqnIYFm19ISmEwmnH/OVvzhV3vwh19ZZ+MAViEQgxECPuJCAAiFiS0wS3IP8XnkzUZ2LQBg/97500X5A0v+c6WSwva8zwEAN5dfxO7vcSIOgO3aC64wiglE85FYIA4YjvMBAMTsH2df4wrE4r99wk5lZWLKJhMNnZbC4CyLw0w7T5qm4efnB41Gg4qKCsEaCty2/JE/E1+oqqpCfn6+0/Z80tPTMTg4iKqqKuTm5qKjowOBgYGS4xzeDhGF05wplgK/fCczG2V0dBSTk5M2xYKc/f/Qg/9ixQCwCoKQGPzywAZRIXhsM7eQEj8OIPy50jaPrcdImkEEqyBwcSYIgHVaKLcf4T/nIiYOjDAAVnF4Ycsu8GOYRqPt1FMGrkBcD9t1NG1n+7CPuQKx+Y5L8fe/WWd32S6Mo6FUWK8xG+Iw0wypzDkUCgVyc3NRWFiIlpYWwYJbgPDIX6FQYNGiRSgsLERbWxtiYmIctufDHM/EJ1paWpCUlMSm2F/oEFE4jVqt9uiYgrM6zFIXCXHLd3KnIvKLBXHnlfNnrFQcWAOjkWbFYGKShlpF2bhFAGDqdCcnJAi2YsDHuRjwX+G6h8TiB3xBcBdmM83GCRi2531uJwzvLtlj04YZwYuJAzAtEMzZP7ziHwCATf+1X2TJCARXHIDpvwNgFQizBQBHgAYbFmHd+zfj+9/f5+BdSsMdosB03BqNBvn5+Th27BiCgoJEYwRC12PiCyUlJWziO6a9lMCxTqfDokWLcOzYMWi1WigUChiNRlAUteADzx4jCnLqNH/zzTc499xz7fZXV1cjM3M6a+VHH32Ehx56CA0NDUhJScETTzxhk3iPi06nQ29vr+z7ZiwFoS8nd4HQTDtzrotKrKIb03mLTUXkT0nkfrlPnjyJ4eFhwVxSXD77MIMTxBTuprmdEBdHQmAbHD4tWqdH/47EQAh+/EABpaAgSLESxOBbC2LCwMU4vTQAatV0WzFxAKYFgr+qmREHwFYg/nPtP4HTlWmnpqyJ9rhMcc6nVEyff+81b2LJHzFjYXCXpcCMyENCQpCQkMAuLuOP1B118mFhYYiPj2fjC0qlUpKlwBASEoKUlBTU19fDYrGwhXkW+sI2jxAFuXWaGWpra21WMIaFhbGPi4uLsWnTJjz++OPYuHEjdu7cieuuuw4HDhzAqlWr7M7FtRTMZrOkztxsNrMup5KSEsH6zAzcEp5i/zvrzJkFQrPxhXRm8Xz2YQYAJmhp206tokSFAAAe2cwERu1nDTkKEDu2v6RbZ7/52wmbGAKDj849n+Pr3cns48PHsuxef/OS3Xb7jCbaRhgAx+IwJSIOgGPrgUkZIiQOSl4Kjb3XvInsbePQdvi4LA7uEgXuOVJTU9Hb24va2lpkZ2c7bMsnLS0N/f39qK6uRm5urqzV0oA1m2pDQwOampoQERFxRixs84jcR6tWrcLSpUvx6quvsvuysrJw5ZVXCtZpZiyF/v5+BAYGCp5z06ZNGBoawqefTrsuLr74YgQFBeH9999HZ2cnNm/ejOHhYQwNDaGpqQkjI9bsmDfccAM2btwIiqIcdtAqlQoURaG5uRlpaWmsq0WoraebnC0tLRgYGLBLL86IAQCYzPZflakpWjBnDwA8eZfwQjQFFE7EQPg1q1tI3tf1t38TnmUkZBU4SrKnFPjzvT0snGpDqjAAsBMGALDQ4gLAIPja6V1ajYPjOK9x3xP3fD8ovB7aDqsrSq44MJlH165dK+s4bobSiooKaLVatkoiAIyNjaGoqAj5+fkIDw9n93d2duLEiRNYs2aN3TkZxsfH2fxIU1NT6O/vtynN64yvv/4aABAfH4/k5GTQNA21Wr1gF7bN+7uaSZ3mJUuWYGJiAtnZ2fj9739v41IqLi5my20yXHTRRXj++ecBWOckb9iwAf7+/ggICMCuXbtQV1eHp556CpGRkQgKCmIXxTjCbDajubkZkZGRXp12V8hSYARhYtLC5uRhmHIwu0hMDABrRTOxTl/qtFKpQWU5guAKN/k3iAoDn1t2XyJqMQBWcbDwPn9H1oHda5wmTLBfSBwcWQ7M+b5d+wF+UHg9AGDJH5+TJQzuGGMKjf59fX2RnZ2N8vJyrF27Fjqdjm3rbMDl4+ODvLw8lJaWykqhwb2fzMxMVFZWwmAwIDg4eEEvbJt3UXClTnNUVBRef/11LFu2DJOTk3jnnXdw/vnn45tvvsEPfvADANYRhKNz+vv746677mJfq6+vx6lTp5z61PlwSwh6O8x7+OS9dNY/zqR2ZnBVDGjmc+LsU3CeOBMELhbY3pOQSMgVBGepuOWwcmm1oLVwy+5LAExbDdzAvNlM23XUDFNGWtRqYDtzgWPFxIGirLEEIwCdVlgc2HNEjSN725M4tv4f0MWVCN4Dl9lwHzFER0ejp6cHZWVlWLFiBTsdXMr1wsPDERcXh7a2NqcL4oTux9/fH1lZWSgtLcWaNWvY2YoLcWGbx8icnDrNGRkZ2Lx5M5YuXYqCggK88soruPTSS/Hss8+6fE6tVuvyOgUAXr9WgbEUGEGYmLSwgqBSUZiaokUF4Y93xeCPd8XYddaAVQxokc/cQlnFQI4gCJ6H909MEGaCYII6WK0FIVYurbbbF7FvCBH7hvCbX59lN1MLcCy4U0barsM+Mqlgt6Jh8Y5pcopmBYL/p5iYpAUnDHyx8n18ueoD9vnSPdfhgmueFr0GgzsWrzmqvJadnY2JiQk0Njay15M6Wk9PTwdFURgctE+p4ghGeGJjYxEREYHS0lJ2v9FoXBADQi7zbinMpE4zl9WrV2PHjh3s88jISFnnnEnltYWQ6qJkn9X1ZjTRrEuDQayzeupe+/wyFk4wWUwMALDuDqYNJZRL2kXeOJUo+trPI5vcdh0hat+dDjobMAldl3A69t/99mw88eR+u/1i7h329dNWw5FJ+46QEYY1/sKfJSMMfOsAmJ48wH+NEYbzD12P9g0mXHDN0/jiXw8Inh+YXUsBsM68W7RoEQ4fPozg4GBZs4kUCgXCw8PR2tqKjo4OREVFSTqOK1JZWVk4ePAg6urqkJmZuSAT5837O5lJnWYu33//vc0fuaCgAHv37rWJK+zZs0c0IOVq7iPA+1c1f/JeOgDYiQHTUfBdF0JiwMWhGACCKUxpjvtmJgIR/aj44qI8fRsODQvHfd6uOcvpuX3bhI/V90i7NzlMTdm7k5iv2MQkjVyYUSGyHkNMHJizTZ7+u2pligNXGP733HuC7qTZFgXAWgMhNTUVpaWliIuLk3U9pVKJkJAQVFZWIiAgAHq93um9cK0RJnFeUVERAgMDERERwa5fWCgL2zzCfbR161b83//9H9544w1UV1fjvvvus6vTfNNNN7Htn3/+efznP/9BfX09Kisr8eCDD+Kjjz7C3Xffzba59957sWfPHjz11FOoqanBU089hS+++AJbtmwRvAdX3UeA961q5vLJe+kYm6AxNjF9/2IuBcCxIFBaDSitBtCI/DgoOMxpTdMW0LQFFopmNzk4EwQxpAiCI0ZDxV+bCBeu4wxYrQVHTE3RsFjAbnxyeesx+DDiIPaxT4r8jQHhNShfrvqAtRwuu+8GQXfSXIgCACQmJsLX1xednZ2ygr00TUOv1yMmJgalpaUwmx1/hkIJ/nx9fZGfn4+Kigo2m6vRaPTqgSGXebcUAPl1mqempnD//fejra0NPj4+yMnJwSeffIJLLrmEbbNmzRp88MEH+P3vf4+HHnoIKSkp+PDDDwXXKACup7kAvDdTKiMIAKB2siDt/90bA8pBj05peUnLGGGYOv2jc9JP0LTwD4orDApa/CSOBGG+mQjXynIjcfsps5kWHNEzMMLgzGpYK+ZScmg1WP8mOq1tp/vOIztw4yM/AQBRdxK/OpuzRZs0TSM9PR1+fn4OYwoMTI3l/fv3yxIhZmFcWloaDh48KLj2gQvT0fPvJzw8HPHx8SgtLcWqVavYAkMLYWGbR6xT8AQ+/vhjPPjggzh06JDsYw8cOIC8vDyvSpj1zzfSbJ4LBT4Z/nL/tHXAFwY7MeBjdDwSA8QFgdNAcDcTu3AmCI6sBEC6pSDmPgKcu5DERAEAHnvcPrbAx5EwMPCFYanG9nP1cXIO/jW4fRtfGC7+/koAQNjH1vQRTz6wDiaTCUaj0Wb0zU2l4qjQz9jYGEZHR1FQUIAjR44gJibGJmeRGGVlZejo6MBZZ53l1BUE2K6BYNY+5ObmIjIyUrD91NQUvvrqK1x44YV27iGLxYIjR45Aq9Wy63uY9+bNwuARloInMJOYgje5jz5+J91uFsvEBG1XzQywFQMGGjQrDM4EgVZSgHL6K0ZNmOzbuCgIwPTU1PpPbLOrpl3aKtR8VhkNdSwME+FaaMtbBF976DbrepDHX68VPd7RiJ6BiTPwxYBh/PQ5xMSBG0+wn6UkbDV0/3AEYR/74bdPf4Odz7yLXupjdHd3Y9GiRVCpVLJcO0eOHEF9fb0sF5Svry98fX1RVlaGVatWOb0eNzDt6+vL1k8ICAiAr6+vXXtH9SG4ifOYpH3M+gVvji8QUTgNE1NwxSfqLYFmMUEQQkgQGJxaBzgtCPx9Os7XbVyCq06C0I6vTLLbV//J9L1bNArUwj5VyjVXWgv6zDSewBBUJLymRg4P3ZbhUBgAqzgICQPz9cuGGc58deOTtJ0wcD/piUlaNAXIxKRFVBgAIIT+IfqUbzqsgSCEQqFAfn4+iouLodPpJP8GLRYLAgMDMTQ0xJbSdAR/CmtkZCT6+vpYNxBfVJjftaOp7IsXL8aRI0dgMBgQEBDg9YnziCicZiYxBW+wFD5+Jx1j49Mrk10RAwCgggLYDoQas3eJCImBXRuTCVBbfzCUUURMXRQEqfzrPwUAgNAe6dahZnBE9DXaVyv4edi00apBTTq+nlxhEBqLMH9bnYPcTlxhEPqkx0+fQ0gcJiYt+Dj73/hh1VXsvu4fjuCsAz/EgbM+RlrQLQBKHb4HIfz8/JCeno6amhqnAWAGJkawaNEiFBcXIzQ01OHiNKEprBkZGTh06BBqa2uRlZUl2N6RSAUFBSE1NdWmsI83xxe8U8pmgYU8JZURBAaXrIOgAFBBATb7aF/bmTWSBYH7XK1gt+md7hEEi2Zuv978z0OwjdZ5KhTGnSSG2WIVBmdfObG/M8P4JM26lETbODjHx9n/ttt31gHrNPLhxkWOb44H03nGx8dDoVCgrc1xHIiB6bT9/PyQmZmJsrIyh4M7ocVujKi0tbXh1KlTTtsLkZiYyFaLoygKBw8exMDAgMcPFoUgonCahTr76P3XU1lBUKkowY7ir7+LcSoIYtC+WuvmgiDYva5WADQNi8K6EayYLbYbs09sphgXMWGgLdPb+Lh7heGqu625u+UKA2D9LWm1WgwNDaG9vd1pe667NzY2FoGBgSgvLxf9PYotdtPr9cjJyUFFRQXGx8dt2ksRBWY21Pj4OBoaGjA8PMzOrvI2iCicZiEGmt9/PZV9PD5OiwqCIxwJAoNFAVh8nASdnQjC9Llom8f8DfBMK0EOzqyF37xQjdFxi40IiCFXGBgh4CNFGBhx4HepH2f/204cZioMiYmJqKqqsumgheCKAkVRyM3NxfDwsM0Udn57sU4+KioKkZGRKCkpYS1/qaIAWGceLVmyBE1NTexKZ/5sLG+AxBROM1NLwdPcR3xBEIIrCLSCBmXhTUmUKAjsY44wKDiBZKmCIKldcAB8jtsWQxpPlZfgjMG3x/1/MymxBYbfvGCfH4mLUFBXuB0tmLrCps0E7TClNmD9nvj4OGkzQcNXJFbBjzNcdfe1+PdL/8RI0yL4JUqPMdA0jeDgYExOTqK8vJxNfifWlttpq9Vq5Ofn4+jRowgODrar1uYsLUZmZqZNGgu5E0/8/f3ZbK5MXiSj0Sgp47Kn4LnDqTlGq9WyJS/l4imWAk3TMJlMeOcVeYLAHn96JG6OCYY5JtjhtSwKW0Gwe91HA4uPxr2CIILP8V67za/GdptrzCPDDjeTcULSefhZasXbiblLaHYbn3B+rvFx2qnVMCbDnXTV3ddi4y+uxUiTdIuBGZ1nZmZifHwcTU1NDtvyO9vg4GAkJiayha+4OIsRMPGFlpYWdHV1ybIUGJh0O1VVVew1vSlxnsdYCnLKcf773//Gq6++ipKSEkxOTiInJwePPPIILrpouibu9u3bccstt9gdOz4+zuZi56LVWoOEExMTbD1XqczUUqBp2m4FqNhjZytD22pu47xX6YLAwBUDk6/166Eas+2wHYmBDROToNXT87UpkYVsUgVBEShtcSAl8CMWEgZnM4H4mKekDRgo0/xajRYHuaPGJyzw0Tn/AzqzGsYcWAytBTRii21f2/iLa7HzZWkWAzM6V6lUyM/Px5EjRxASEmJTZZHbVqjTTklJQW9vL2pqapCTk8Pul5JAz8/PDzk5OSgvL0dmZqZsUeD2BcyMJrPZ7DX1VjxCFOSW4/z2229x4YUX4sknn0RgYCDefPNNXH755Th06JBNRaWAgADU1tpO7xMSBADsvGo5LiSmM7dYLJicnMTg4KBop+2sJjMDU3JTaNWno/rLKpUKO99eDMBazlFIEF74QxwoB05qS5SwG8bkq2KFQY4g2H1eAgIxEwvBU6FVCknC8Me7kvD7VxqdtpPqRhods0gqMSpFGGgaGBuj4evrPmG4/twCfPC1c2HgumyCgoKQmJiIsrIywRrNYp08s7CssLAQISEh7IplqbOJoqOj0dfXhxMnTsh2+zCisGjRIhw6dAgGg0FyRlZPwCNE4S9/+QtuvfVW/PznPwdgTXj3+eef49VXXxUsx8lUT2N48skn8fHHH2PXrl02okBRlOjydQDo7u5Gd3c3hoaG2Klof/vb36DVanHVVVc5HbVzTdOBgQF0dHSILufnd+buLtvpzGX0yuPxLgkCg8lXBYXAimRBhAoi86DVSmB8ErQCoCQMrGdiJSwEhIRBKDXJ+IT4wjPbdsLCwPdwSBEGAKw4bPh0E/uamDB8+PUi6B0IA9+Pn5KSgp6eHtTV1dmtI3Dk8/fx8UFubi5bMc3Hx0dWqu2srCzs379fttuHEQW9Xo/8/HyUlJTA399fdEDqacy7KMykHCeDxWLB8PAwgoNt/eAjIyNISEiA2WzG4sWL8fjjj9uIxn333YePP/4YAQEBbN6i3bt3Izo6GpdcconTzpx5XFtbCz8/PyQmJs7sw3ARriCMjVnsaia/8rjV2qKVCkFhcCYIgDUdhfl0p6R05OeWIAjsORW2/3PhCoVUQZh1NMrpBH9uQqq1ADjOT8XFVWEQ6/ucCUOnaQwYAZL97HMPCQmDs3fB7+iZ1c5FRUUICwtDaGioTVtHA6nIyEi2WtvKlStlFeVRKpWIj49HXV0duru7ERYWJuk47oK3sLAwJCQkoKury+a+PZl5FwVXynHy+fOf/4zR0VFcd9117L7MzExs374deXl5GBoawgsvvIC1a9eitLSULQj+zjvv2FRO02q1ePvtt5GcnCx4HTGUSqVHBJHGxuw7a0YQGPjCIFUQuIiKgxxBmHSy+pfzuzWPDEPp5y/e2AXkxhPmEjGPmskkrbMH5AmDFNeUmDB0msbYxydGRgWP5QuDMzeS0Gher9cjIyODrdHMuHuljPwzMzNRXFyMEydOyLIUAGusUa/Xo6yszKY2tCP4wemUlBSvmXkEeNDsIzmlM7m8//77eOSRR/Dhhx8iPDyc3b969Wr85Cc/waJFi3D22WfjH//4B9LT0/Hiiy+KXtPVaanzOSX1jb9aC8dLEQQ+U0mhMDnpOBwlrDNrFezmTkGw4fSPy9lsHsCzXEe0yvm9WMxGWMxGPHZ7LEwmsJsjHC0kk9OWuxhudFzad3dszPZ8XEFgePnsNwSPbS2wPfb6cwtsZiRxf4tio/m4uDgEBASgqqqKHYRJ6SeYam0nTpxg1w9IxWKxwMfHB2FhYSgtLZX0O+eLgrM0GZ7GvP+KZlKO88MPP8Stt96Kf/zjH7jgggsctlUoFFixYgXq6+sFX6coyuWSnPM1JfWNv6ZAraJkCwKtVGAqadqUFRMGpxlMT0ONjsOiAiwS7E5ZgiAD88gwzIODTrfZxjI1AcvUBOjJSbbTF9vmA7EFcXKFQUgQGMSEwRxia+1df24BRgWmqop19MzitL6+Pna1s1R3UEBAANLS0mQvJmM6+OzsbExNTaGhQbgmN//+he7JW4Rh3kWBW46Ty969e0VLZwJWC+Hmm2/Ge++9h0svvdTpdWiaRklJicNZADOxFOZaFGZiIRjj7dcgmHSUjThIFQQ+jDhIEQinyBjRSS3SxoiDaWzUpY3p9MU2Blpm1bgnf+E4ESEXudYCP0WGGK5aDEJIFYYx3qQIR6mqAas7Jzc3F9XV1RgbG5PlDkpISABFUWhsbJT8e+VOj128eDGamprQ0+O4eIZcF5WnMe+iAMgvx/n+++/jpptuwp///GesXr0anZ2d6OzsxCBnJPjoo4/i888/x4kTJ1BSUoJbb70VJSUl7DmF8Db3kXHK/ov9+rOOU0AICQIXk46SJQjUqHgaAr5AzJaVcCbiTBi47igpnTiDI2Gw0DS7+U06961zhSHxP0PsY74wdFfns4+ZztrR6D88PBxRUVEoLy+XtbiM6agHBwdlJdxjzu/v74+srCyUlZVhYkJ88aErC948CY+4802bNuH555/HY489hsWLF+Pbb791WI7ztddeg8lkwi9+8QtERUWx27333su2GRgYwG233YasrCysX78ebW1t+Pbbb7Fy5UrR+3BVFObafcRYCWKI+bOdCQIA0CYzTGrAJGGdjSNB4GOeGoeFsrCbU7z4R8Ug11qYCVwREIpLzEQYGCHgI1cYuPCFoaM8GzRNO61fwJCRkYHJyUlMTk7KHpVnZGSgurqara/sCH4HHxMTg5CQEJSVlTlMuscXBW+yHDzml3fXXXehqakJk5OTOHr0KH7wgx+wr23fvh3ffPMN+/ybb74BTdN22/bt29k2zz33HE6ePInJyUl0dXXh888/R0FBgej1KYryCkvBkduIayXwhUGqIHBxJA5yBEEIrkDYCYVMQZDd9zpY8TufyHEhmUw0hkcskoLTDHKFQUwMuEgRhpDDwqNqc4g/brlk2kV88uRJp+4jBma189TUlNOkeQxMPxEaGoq4uDhJgWN+fIOiKOTk5GBiYkI0vkAshQWEq4HmuY4pOBMEPlIEwRF8cZArCPSYtPaMOPz43kZ2O9MxmWjBbTaxmK3b6Ki060gRBjG4FoN68GKMjFgLGUkZWQcGBkKtVqOxsVFS8JgrOOnp6QCAuro6h8cIdfBMfKGxsRG9vfbpU7xdFOZ9nYIn4Wr67LlyH+XdfyVuD50WBKOJhlpFiQoCrVJgPN4A7nIhtUlkppHJ+Y+KEQY5GVykCgLDjVts6xg7EoZ3X3C98ponMZU/PTHgkdfi8ftbCyUfKzWXEYOjhWiWGazL85vUYURrbxH84c83AACGozXwb3c+4BprLgDwvGR3C1MPuba2FtnZ2Q7bcl1T3PrKISEhogvTxDr4gIAAZGRkoKysDGvWrGFzpzHH8O/fm9xHRBQ4eLL7KO/+K3FffDnGeDMBnQWW+RhVtJ0wSBEEBuXgGLgZthX0/H3Zf3xvI6TUR3/nz/MnHtwOf7aYiTA4E4LRURp6vWt/Y0YQGISE4ZXXPsXIGODn67oPPjU1FRUVFQgLC3O46pgfxNbr9cjKymIXxHE7du4xYqP+uLg49PX1oaysDMuXL7dZCEsshQWCpwea+W6jN15OBQVxMbJaCfYYVdZ7VZso2YLAx8Jx6PMFYqZWgru48Ve21oZa5bqQvd6b77yRDQOgCgNlHfHHbWtlWQuuIMcqkCIMt717BQDgLz/7BwB7QWAQsxhGxiysMORGbcHw8GHBrKh8aJqGr68vsrKyUFFRYbPamQ8zcOMHjnt6elBeXo5ly5bZiZHFYhHNbsqsmygqKsKJEyeQkpLC3hMRhQXCTGIKs2kp5N1/JX4WKK8QupggcJmpIPDhCgQ1Kq1eAME9OLMW7vvMfnHnqz/8UvL5xYSBEQOGrW9cB79+x92KFGEYalwJv7wqp50r46qJiYlBV1cXKisrsXjxYkFLQyiIzQSOCwsLcfLkSbv8Zc5G/Ux84dChQwgKCkJwcDCxFBYSrsYU5mXx2svWJHi0WgHKaCtIUgQBACyYFgUFJPhhZMCfdqoQyno3Q6S4js5UhESAz50fny9LGLjwxYDLSJDJqTAAVteRI44fP84GhMVgRuXMqL2wsBBtbW2IjbWfycVNVMdFrVZj0aJFOHLkCIKDg20sFCkdfEBAANLT01FaWoq1a9faHeMJedHk4L1yNgtotVqPcx8JWQmMIDDQ6uk/o1RBUEzYip8FZhuR4CLFSrC5H37gA/ZTUPnMluuIz0xcR3PJH7etlX3M+IQF9312gSRBcIXRURq3vXuFQ0FgGAlyPE/W3HVK+DiOi9R3/AoMDAw4PA93yqhGo7FZ7czH0UrjoKAgJCUlobS01Ka+idQcbPHx8QgMDERZWZlgfiUSaPZSPDHQLNdtJAW+IHBhhIGxHOQKglQkLWBbINBr5ccVHPHbT9eJv+gj71xSrYWt71irGlKYAO3vnroAt29citd2HrPbPzpqgV5v7VSZ7KT84joM/I4+LCwMMTExbKps/ojd0aifW60tNzeXPb8UVxA3vmCxWKDX26cR9xY8ylJ45ZVXkJSUBJ1Oh2XLlmH//v0O2+/btw/Lli2DTqdDcnIy/va3v9m1+eijj5CdnQ2tVovs7Gzs3LlT9HyeFmjOu/9Ku318K4GBViskWwlScGQ5OELISnDG9Xe2YnKKdridifz203WCm0PG5X9/HbH1nYtYQZCLmLXgWzJtFd6+canDcyQbbhNdSyCWEiMjIwNGoxGNjbYTDJzlJKIoCvn5+Th16hSboFNOfECtVmPx4sXo7+93qR/xFDzGUpBbkrOxsRGXXHIJNm/ejB07dqCwsBB33XUXwsLCcPXVVwMAiouLsWnTJjz++OPYuHEjdu7cieuuuw4HDhzAqlWr7M45k5iCkKVgsVhEy3FKqcXszG3EZTTGF4AZSotjR7sjK4GPcmDMZm6Tgpo/Jz5fGFRKgFmvpNF4j2nOMKVzLnSqvimYgoVn0rgTvrXgTASoYenWAj++wBUER3CthdbWVoSHhyMkxLb2h9jqZ6VSifz8fBw6dAihoaFsAS0ps4KYam3l5eUwGAyS3UcMBoMBBoMBPT09mJqagkaj8brU2RTtIVGQVatWYenSpXj11VfZfVlZWbjyyisFS3L++te/xn//+19UV1ez++644w6UlpaiuLgYgDWn0tDQED79dDqgdfHFFyMoKAjvv/++3TnvvPNOqNVqPPbYYzCZTKBpWlJnPj4+juHhYej1epvXuYtlmEpt/MptYlXdzrnmHvz8gmKb+3vnNWeiYEVMGOQKgiOEBMJVK8EVVC7qk1hMQaqwMFNSc/TNTlraUvJtnqz2DC6Lgo/843yG5I0RHQlDyIEO9vFkThwAx4LAupF4vZFerwBo4PjA33DWWWdBpZq+R5PJhC+++ALnnXee4DTUhoYGtLW1Yc2aNVCpVOyagnXr1jl9b5WVlRgeHgZN00hMTJRVY7miogJ9fX3Q6/VYunQpaJqGWq22uXdPxiPu0pWSnMXFxVi/fr3Nvosuugjbtm2D0WiEWq1GcXEx7rvvPrs2TI3npqYm3HnnnRgaGsLg4CBOnjyJiYkJvPTSS7j77rtx/vnni5bhZDYfHx+oVCqMjo4iMTFRsMMX84c64uZ1RQCmO6q3tqUDKkAhUBCeKwgAYFZYh9BccZAjCFKw0JyZS5TSJUHwJKYkuqjkioEnE1rcb/N8NEdauUlncAUBALSVLVA6+fqJxRcY9Hq9ja8fcJ5RNTk5GT09PaitrUVOTo6s9QNMtbapqSnZ00tpmkZERAQ6OjrQ1NTEJvb0FjxCFFwpydnZ2SnY3mQyoaenB1FRUaJtmHMaDAZceeWVrMn3zjvvYHh4GI899hgiIyOh1+slmX2Dg4Po6uqSXMPVGTnrbsDN66afv7VNfFoeXxC4mBXT7iQLZ7WSQuFYpJxZCXwstJlNt62gpP+A5tpKmE8W/6DcJWvBZRfS+JSdtcAXAT76ym5ZwsB3I/HFgItZDafCIMToqAV6XwWi1DeipvMlhIeHsxUWnSXPoygKeXl5bG1nOW4cpVKJRYsWobCwUFI2VS7MgrfFixfju+++Q0BAgE1VSE/HI0SBQW5JTqH2/P2OzhkUFITbb7+dfW3//v1oaWlBaqq4m0YIdwearVaCMBaVQtBaEMOsMEM5wpt+elognImDVLgrly0CtRjkCAXBvTgTgplCDU8guNQ91/j5BWn4v73ClREB6+i9srISgYGB0Gg0giuU+XBXO2dkZMga9fv7+0Oj0aCpqQlxcXGiK5v5MMHpwMBApKamory8HD/4wQ+8xn3kEb9WV0pyRkZGCrZXqVRsQEqsjdg5dTqdx01JFbISLKfTYjuyEqRgsZhtLAhAvpUg6Tq0xWabL7xljYKrBJYN226H7DN4OkNf2S25bcCRDgQcEbcO+Jgd9Knm4WHR1/7bc9oa6bkABoMBVVVVAKQvCouOjkZwcDBOnjwp+V4ZFAoFfH19UVFRIfl63BlLiYmJyMjI8BpBADxEFFwpyVlQUGDXfs+ePVi+fDmr6GJtxM6pVqvnfUXzM48kSmo3Em2fvEsIvpUgBCMOrgiC3PxGgFUkrvpZC6YmaZuNIIyqz3agYtf5n97mCr4YmIzSU5oICQNXEH5+YZrD43NyctDb24uOjg7RFcp8KIpCdnY2xsbGbBamSSU5ORkDAwNobZXm7uROfaUoChEREV6V9sJj7lRuSc477rgDJ0+exNatW1FdXY033ngD27Ztw/3338+2uffee7Fnzx489dRTqKmpwVNPPYUvvvgCW7ZsEbwHT0ud7SiWIAUpgsDFYjHBYpH/o3EXfJEQEoz5jiesUMyuO4aLtneK3eay8xeyFhghkGMZSMGRhcCFsRa0Wi1ycnJQVVWFyclJyZ2tRqNBbGwsxsfHZcUILBYLtFot8vPzUVNTw9Z7cHaMN4kAH4+5c7klOZOSkrB792588803WLx4MR5//HH89a9/ZdcoAMCaNWvwwQcf4M0330R+fj62b9+ODz/8UHCNAmD9wk26UEeYsRRmKgxSrYSxcOtwi6bNoOkZJMHnoByY/qEw4uBMIFyxEgDgmlul1cflwoiDNy9wW/yDcgC2nb2jzR2YFK656xhhkCoErlgLYoLAtRa+HLN1ka6+9lFERkYiNDQU9fXi8Qch/Pz8oNPpUFZWJtndy3TwISEhiI+PR2lpqdOCPtxZTu7oF+Yaj3J03XXXXbjrrrsEX+OW2mQ455xzcOyY+DQ2ALjmmmtwzTXXSLq+q1lSuV8Ady1Seee9TEANKIzOv1A0bQbFWzcg10oQgy8MCoVHfWVscCYMM/1tvnhCvL63VMJc7OyNPhTU43PTuVh6+wAAAUfkWY0m4wRUammL2pxZCD+/0D7ozMYWYF3D5CzjAR8m/cTk5CQaGhqQlubYVQXY/qbT0tLQ19eHuro6ZGVlObwOsRQWCDNZ0QxgVoLNFrWtyDBWAh87i8Fssm4S4FoJTu/ntAXhqpXgzfwy+TB+mXx4vm9DNs6sBUtvn83GYBwbmpX7MfcPwEzNzMLVaDRITk6G2WyWVaOZWe3c1NSE/n7nrkBuB89Ua2ttbUVXV5ekY7wR773zWWAmWVKBmaXI/dPvE9kC7O+8l+nSORh3knKQ8yORIQ5ysNBmm00qrriOGJSea6R4FWIi4A4cuZHM/QMw9w9IPtet5yfb7bvp9p1Yfe2jAKw1mpVKJcrLyyX99pgAcEBAADtV1FHgmXH9cDt4X19fZGdno7y8HBMTwu+ViMICYiazj4DZy5vOWAtiVoIkRMRBjpXgCL5IyBEKgjSMPq67JmdLBKQiJAaOrAVaQmk4ZpHY+Pi4TbxR9JycDj4xMRE6nQ41NTUO2wP26yBiYmIQGhoqKkZ8UfC23EdEFDjMJHU24B73kZiVwHcjiaEacnL/brAc6HFpQUUiEnMP3dcvuJmVrg1YpLqQzEND7DbZO+1akWsdAI4F4f3Hp1PbMO6gvLw81NXVOZ1VxJ8qmpeXh87OTpw6JVzbgZu7jE9OTg7GxsbQ1NRkf/9eXo7Te+98FtBqtS5bCjNZq/Cn3yc6bTPu7+aRhtnkNitBKkHXTOLLwVC7bS7QSBTV2aY7133iKNT5zyVcIbB7TaIY8K0FviC8d3mk3THqrlGkvPQ7tpMPDg5GbGys01lF/M7ax8cH2dnZqKioEJx16GjFtEqlwqJFi3D8+HEMDg7aHedNlgEf4qXlwMQUXJlFNNt1moHpmsqUyGR9p1YCD1dmFkm1EuTgSBjON/QAOHPjCYpe2w6XnnDdyjMraSjN8jsr49gQ1L7TJSqFRICPyTIFlUJeziYpLiOGsH0a0NdOd/Lp6ekoKipCY2MjUlJSBI8R8vVHR0eju7sb5eXlWLZsmc3v3lkajcDAQCQnJ6O0tJTNxCp2HW/Ce+98FnDVfQS4ZwHbjn9lwizhL8KIw0ygBu2tBKnrE+YSxpqoG1OIbt6KonfI6cbHopsfdXRkFcwUo2XSoSAw1gLXdQTYThdl3EgNDQ0YFpnuKjaCz87OxsjICFpabFN7O0u4B1hXO+t0Ojb1BnMdbxaFM3T8JYyr6xQA96a64CPkOqJNZhuLQa6V4AyuMLhjbULItbMnNFKE4csO+RlK780sE9wfUDszi1DRO7duO1exmKZdqRYAKsxgooObUXeN2nXygYGBSEpKQllZGQoKCuw6ZjFfv1qtRl5eHo4dO4bg4GD4+fkBkNa5M9XaCgsL0d7ejqioKBJTmE36+/tx4403sqmtb7zxRoeFvI1GI379618jLy8Per0e0dHRuOmmm9De3m7Tbt26dWwcgNmuv/56l6ekAq67jx5/0D7XuhRrAbAKgzusBmewaxNmwXXkybxQky+4eTOOAs4Wk9Fmmykmi/PfkuX0pAcTHA8a+FYCINzJM66j48ePS2rPEBISgri4OJu4hNTYgE6nQ15eHqqqqtg0GPzreFOMwaNF4YYbbkBJSQk+++wzfPbZZygpKcGNN94o2n5sbAzHjh3DQw89hGPHjuHf//436urqcMUVV9i13bx5Mzo6Otjttddec3nxGiDNfUTTNMxmMyYnJzE6OmoToNrxL9tZR4wwSAkwK3vlJbITch1JwUKb7DaCd+NOEZB1XbOJFQQp0IftrbYf7HzFrrNVKBTs4jT+ANJZJ5+eng6apllBkTPiDw8PR3R0NMrLy9n78FY81n1UXV2Nzz77DAcPHmRzFf39739HQUEBamtrkZGRYXeMwWCwy4r64osvYuXKlWhubrap9ezr64vISNuZDUxdVaFAM03TdjWX+VtbWxu6uroEX2PKd3LnPrsznS5ttP7AKPXs/ElpsYU6AsKgoNx7D4k+8zO33lOx6FRQzCDg7KoAmGCU7ULiB5zlCIEUhDp5f39/pKamoqysDGvXrmUrHzrr5BlBOXjwIFuUR07nnpGRwVaKJKIwCxQXF8NgMNgkr1u9ejUMBgOKiooERUGIwcFBUBSFwMBAm/3vvvsuduzYAb1ej8TERKxatQo9PT2gaRqXXnopDAYDtm7datOp8zt07kbTNIxGIzQaDVuik79xS3UyX5qvPwFMZmELQ6obiYszcXDVSpADXyjCrpv1S3oV45E+8Omc/TQhlimR5I4UoKTnNt2sFDEwwQSVxC7p1cf/AwCYUlwt+HpSUhJOnTplk6dISozA398faWlpKCsrQ3Z2tiy3j1KpRHZ2Nr777jv09fUhNDTU65LhAR4sCp2dnYIl7MLDw0VLdPKZmJjAb37zG9xwww0ICJieUvfjH/8YSUlJiIyMxGOPPYZPPvkEx48fx5VXXgnAWochMTERSUlJgh270Bfr8OHDiImJcVtJTgAYC6YB0FBNin+RVYPCP3wxcaBP/zipOZzj2XZE+DOJWS69oAtBHNHOfxZwxVpwl3VAHy4DtdI2puOoFGd+fj6KiooQHh6OkJAQyVPNExIS0N3djaamJtkjfh8fHwBAeXk51q5d61XFdRjm/I4feeQRPProow7bfPfddwCE/+BS/7BGoxHXX389LBYLXnnlFZvXNm/ezD7+xz/+gaNHj2L58uW47rrr8Morr+Duu+9GcHCwlLfD4srsIybI/N7HmQ6DOyatxaEwOMKZOADOBULMdTRTxMQCIIIhhGWMY+V5eDiHxvSkCzNlgZKW1tXIFR1HfYFer0d6ejrKy8tx1llnSZ4qyqx23r9/v+QSnAzMNQwGAyoqKrBo0SKvcyXNuSjcfffduP766x22SUxMRFlZmeDy8+7ubtFymgxGoxHXXXcdGhsb8dVXX9lYCUIsXboUarWazZ8yV4V2jGYL1ErrF8aioKGwiH/BTVrrj2wm4kANC7uO5AiEXKaSXbOcuILRqrb/e5+1utrle/JEbDp8Ke1VgGIGwmCmzLPiQuKKwWzBuI4A5777+Ph4nDp1CjU1NbJWGut0OsTFxeHkyZOYmJiATictJbjFYoFSqURubi4KCwvR2tqK+Ph4r5p9NOeiEBoaitBQ56kNCgoKMDg4iMOHD2PlSmse+0OHDmFwcFC0nCYwLQj19fX4+uuv2XrNjqisrITRaERsbCwAeESdZqvryB6u1SDmOpoJsykQrkCrhX/0Bw6K57PnM5kw++9D3T7ovBEHy8TczvaZEUrbv4EJZqjM04IiRQjMlEmCteB8UPXUA/8Gd9KklFKceXl5KCwshE6nkzVqDwwMRFtbG8rLy7F8+XJJHTtjKWg0GuTn5+Po0aMICgqSLCqewPz/6kXIysrCxRdfjM2bN+O1114DANx222247LLLbILMmZmZ+NOf/oSNGzfCZDLhmmuuwbFjx/C///0PZrOZjT8EBwdDo9GgoaEB7777Li655BKEhoaiqqoKv/rVr7BkyRKcddZZLi9gc8fiNWfWAsNM3ElyoM0mwOjhfgoJGCrc+x7Ug2dALQml8++Xe60C1347VP/VAOoctvHx8UFmZiYqKyudVk3jwhTlGR0dxcmTJ5GYmCjpGEY8QkJCkJycLLneg6fg0c6ud999F3l5eVi/fj3Wr1+P/Px8vPPOOzZtamtr2fn+ra2t+O9//4vW1lYsXrwYUVFR7MZMFdNoNPjyyy9x0UUXISMjA/fccw/Wr1+PL774Akql0uVUFwqFwiVL4b2PbdcnWBTSfhwmrQUTQdL/fGKuI2fQtEVwIywwlArbzQnuEwQafEEwQdiKevpf9gvSLBZpv5eYmBgolUq7hayOYFxB+fn5qK+vF02fwT+Ga40kJyc7dXd7Gh5rKQDW0f2OHTsctuGOzhMTE52O1uPi4rBv3z7Rc82npSALo3XEwwiDrn9uO2q+MFCUfUfiajyBMDeYKTOUCtdSV7iSXM/WhSTvtyIkCHKgKAo6nQ7Dw8Po7Oy0W6MkBDOpJTg4GPHx8aLpM/jHeFtgmY933/0sMBNLwV2i0J8m//oTQQpZloO7IdaEPCy6mecRskgc0lH+etFtfphbQeASHx+PyspKwVTZfLij/rS0NFAUhfr6esnHeCsebSnMBzOxFNwZaJ4MsZrQ2l55nYeQ5eCy68jFPFAMly2vsNv3vyO5MzonwTHz19E7hxZwFYnBTE0VEoShYQsC/BWs60jq7CCLxYKQkBCMj4+joqICS5cudRg85tdnzs/PR3FxMcLCwkSnrAuJgjfNPAKIKNjhav4jVy0FmrKAosVHFpMhRnthMDoPls2XW8kZQkLBwBcMsZlHBGAy2TqDz7fDs4OYtIsBZEC6hVBZWem0gwemXTvZ2dkoLCxEW1sbO+NQrD33nH5+fkhPT2fTZwitYSCWwgKDoiiXM6XOxFJwSRgkMhGkgErlA3X/3HYeF22Sv/iMLxi7SvOxcak1wdjOY/JTX3srTIc/F1j0GihGXbMIHcUVxMTARJmgkrCQ7eE3TwAQX0fBDTAPDg6io6MD0dHRDs/JzAzSaDTIyclBWVkZQkJC2FXIQu35HXx8fDy6u7tRVVWFRYsWSTrG2yCiwMNTA80zEQYAMAZNf/GlCMRMXUfugBEE/mOpeIqQWC4RnhJrLJm7zn8umIlVwMUqCNLJyclBRUUFgoODHbqRuEHg8PBwREZGory8HCtWrBC0MsRcQczCtI6ODkRFRdkd423uIj5EFHjMtfuIgbEWBlPEr83GGTqlj0RUw/YdEiMQc209zDWMkGg17v2R/m9MuNzjfDAW5TPvLqS5FgOrlTD9N42IiEBnZyeqqqqwZMkS0U6Z32FnZmbiwIEDaG5uRkKCfV0TsZQ6Op0Oubm5KC8vR2BgoI2lwRcSb0yI5912ziyg0WgkzUzg445AM01JO14VPzKj6zAYg3zYjUCQA02d3twgCA+/eUJQEAaH7WNnYusSsrKyMDAwgI6ODtHr8KeLqlQq5OXloa6uDqOjQuVpxV1BERERiIiIQHl5uU3HLzQl1dssByIKPOZySuo/Psl03oiHXmMtqKOKH3GbOABEIM5kLHqN0zasCJzeGMwu+BpM1LT1KsdVJCQIGz+5CoD1d5udnY3q6mrRQZ2QayckJASxsbF2nTvT3lF8ICsrC+Pj42hqapJ8jDfg0XcvtxwnANx88812pTZXr15t02ZychK//OUvERoaCr1ejyuuuAKtra0AXBcFVywFIRFZEnJS1jncLQ6AVSBoXy27ycWVIDPB8xASAXchZh2IIWXlcmRkJEJCQlBVVWX326JpWnRhWXp6OqamptDY2Gh3jKNRvkqlQn5+Po4fP86udiaiMMvILcfJcPHFF9uU2ty9e7fN61u2bMHOnTvxwQcf4MCBAxgZGcFll10Gs9kMtVrtUkxBbqDZkYAsCTnpFnEQiidIQTlsmyqbKxCuiARBGOXi3vm+BRvErAF38v+90IT/74UmWccICcLQsPDvJzs7G319fXY1V5jfplAnz6Sy4Hbu1us67+CDgoKQmJiI0tJSmM1mu2OYgak34bGBZlfKcTJotVrRZeyDg4PYtm0b3nnnHVxwwQUAgB07diAuLg5ffPGFJEuBqbXMLbc5Pj6O8fFxtLa2OizZyWyMKDgajSwJOYnve+0DYI5ghMHU7CfrODkICQM15t6MrSqle35I7g4yLxT4M6BnSwQY5AoBgyMLgXEdcWHcSFVVVQgODoZWa/2ucqsmChEYGMim7GdSWUgd9aekpKCnpwf19fVsviRvxmNFYSblOL/55huEh4cjMDAQ55xzDp544gm2itvRo0dhNBqxfv16AMDAwAAqKioQFxeHl156Cc3NzWhtbUV5eTk2btyIuLg4wU6dganIZrFYYLFY0NfXB6VSCbVaDbVaLVqaU6VSYSxPBd9yx6N5V4QBsIrDaLcO+i7Zh7oEVyhMRkA18ywOBAAmtXPrcyheh4Bm8UJIDpbAuAWzClAKfI1dFQIGV+dtREZGorOzE9XV1Vi8ePHpc1lP5qiTT01NRXd3NxoaGpCWlia5oBez2rmoqAhBQUEwGAyu3biH4LGi4Go5zg0bNuDaa69FQkICGhsb8dBDD+G8887D0aNHodVq0dnZCY1Gg6CgIADAiRMncM8996C/vx8lJSVQKpXw8fGBTqeDr68vgoODRTt1pVLJfmna2trQ09OD/Px80XsTw9mXz1VhAIBRzkc4VwIBWIVBDCmCYTLJn9WiUnmfVSCl05eDqwJg8dNAMeKetSlSxIBJVSF4LxLEwOygDUVRyM7OxoEDB9jkd47cRwz8VBZy4gN6vR4ZGRmoqamBv78/u98bp6QuuHKcmzZtYh/n5uZi+fLlSEhIwCeffIKrrrI3N5cuXYqamhpceOGFSElJgclkQmBgIB5++GGpb4m915lMSZUiDLH0BL4aiXP5GvMlEHzEBGOm1oWQkMxGzC9Za18R0FWqIa/sqxizbQ04Y6ZWAcNMBYFBq9UiKyuLdSNJsRQAwN/fHykpKSgvL4dWq5UVNI6Li0NDQwO6u7uRnp7udbEEhgVZjpNLVFQUEhIS2OyGkZGRmJqaQn9/P2stAEBXVxfWrFmD7u5uj1zRzHCeXwsAzEgcAHGB4AeZ5XLBxa0uH8sVCy+sd37GcefD3NlDM1MlMTEYHLbAwLEo7AQhXHzhXlRUFLuojXE3S+mok5KS0NXVhdHRUVmiQFEU/P390d/fLynthqey4Mpx8unt7UVLSwu7HH3ZsmVQq9XYu3cvrrvuOgBAR0cHKioq8PTTT2P37t0uLV5zZZ1Cy4efISP7Ava5nOOdicNot/Tyf1yB8IEG6uH5T3FB8ExshcA9SDWwpVgIXCiKQk5ODg4cOICuri7JI3fGjbR//37BRW3OrhkdHY2qqioEBQVBq9V6ncXgseMxV8pxjoyM4JFHHsHVV1+NqKgoNDU14be//S1CQ0OxceNGAIDBYMCtt96KX/3qVwgJCUFwcDDuv/9+5OXl4YILLsAXX3yBoaEh2ffrrtTZCQrrSP2kRVqn7i7LgYvRf3oxExGIM5vZEAEGOT8XuYLAwLiRqqurZXXOer0eWq0WLS0tSEpKgkqi6WqxWGAwGEDTNMrKyrB8+XLXbnwe8VhRAKzlOJlymQBwxRVX4KWXXrJpwy3HqVQqUV5ejrfffhsDAwOIiorCueeeiw8//NAm+PPcc89BpVLhuuuuw/j4OM4//3xs376dLcc5p7mPaAsgULUsQTEhWRiA2REHwFYgACISC53ZFAEGGWWSre3FBCF8HEc3P+b0+KioKLS0tDhd+MpHpVJBoVCgpqYGubnS6oAwwenMzEwUFRWhsbERmZnyMxfMJx4tCnLLcfr4+ODzzz93el6dTocXX3wRL774ot1r85E6Wwy5wgBYxcHdwsCFiMTC4qbbq9jH/n6uxwUGhywwBIgfL1cIpB4nZfRPURSSk5Nx9OhRdHV1Cc5qFCMxMRHV1dWIiIhAWJjz8rKMKDB5laqrq5Genu5Vaxc8WhTmg7la0WyDiLUAuC4Mn0/GAACmhnxduyeJ8EXCaKKhnuHUUBJkls9wrA7+rY4nCXAFQPAcI5YZCYMQroqBs2PNZudTTLmoVCqo1WpUVlYiKChIsEAOH4vFAh8fH2RmZqKiogJr166FRuM4TxR3FmFgYCBWrlzpdWkvyM+Ph1arddl9NCNLwc3CwKAJGGMfz7ZAMBhF1hjMVCwI0nDW+c82MxECKcebzTQ2N1wGwDpJJCAgwOk5mZXG/v7+qK6ulrSeiBn1x8TE4NSpU6iurhYsrCN0DIO3CQLg4bmP5oOZJMSbzSmpCYoJdnTkKpqAMXYTwqdrdkt3Gk206EaQj3rQaLPddHvVvAqC2Tz7gsDn5MmTGBsT/j5zoWkaSqUSOTk56OrqQleX84U6zKifmcXU09PjcOEssDBqNBNR4DGXqbMBoLb6q+kntPNO2WymZywOAByKg6tcsKrB5WO5AmEywW470+B3+EKbJ2C2TG9yGRyaPkiqoHC/+y/nXYKIiAhUVlY6/e0xabN1Oh0yMzNRWVnp1CPA7eB1Oh2ys7NRWVnpcMr6QsiSStxHPFydfeSuQLPFIm0VLvPjUM4wcRxXGEwDWqimPHNUI1cYPCUucbjFSXqSsDEEH/eeRFGuTg0VPZ8My0BoMJSSkoLvvvsO7e3tiImJET2WmzY7JiYGnZ2dqKmpQV6eeMlWfgcfFRWFU6dOobKyUrTCGxGFBchMZh+57D6y0IBi+gsmVRgA94kDg0kz/R48VSCkwIjIbPw+D3e6lofKW3G3ELhyXr4gqOq1QN50VtSKigqEhoayWVH5cAPAjDuosLAQkZGRorOKhFLPZGdno7CwUFSEFoIoePfdzwJqtXpO3UdiWCwyF/dw3Eq1o+6peWDS0DYb4cyA6xJyu2XgwnkduUspikJERARCQkJQXV0t2o7fWfv4+CAjI0PUjSRWlEej0SAnJwfV1dUYH7dPsSFU3c3bIKLAY6aBZpfiCrVfW60FAeR6pMxmGqm6meUvEoMvEkQovB+T2XabTatA7rktFhp+euEOtvylJwBMB3GzsrLQ29srmC/Nei77zjo2NhZ6vR61tbWC7QHh2UPh4eGIiIhARUWFYIU3YinMMq6U5OSX42S2Z555hm2zbt06u9evv/56dkqq3M6d+SLMxgwkV0IViboeJOp63H4vfLgC0Trl8V+nMxq+AJhmOFPIGTOxNhwV17nzs6vtiuZotVpkZGSgqqpKdOQvNCsoNzcXHR0d6OnpsWvPPT+frKwsjI6OoqWlxeYYset4Ex7/K3alJCe3FGdHRwfeeOMNUBSFq6++2qbd5s2bbdq99tprM7IUAMdlNrlYLBYYjUaMjY1N51qy0Pj6kHDxIFdj2Iw4zIVAAEDrlEJwI8wtcy0AXKQKgUGgnoLFQjsUBOa8QvURYmJi4OfnJzryF+qcGTdSRUWFTfEs5ncs1qEzK5Zra2vZpHlS03N7Oh4daHa1JCe/FOfHH3+Mc889F8nJyTb7fX197dpKDTRbLBabSmwTE1aXTXt7O2iadlqO03x62gVFUbbJtiT8IJQufue4wtA04TxTrTtxJAyxmtldH+FuNkVW4MNOablwZhPFgG1N7rns+PlYzPSMXU+OxACY/v7Xvv4MuzaB22lzA8jR0dEIDp6uVeHIrRMXF4fOzk7U1tYiJyfn9L047+BDQkIQGxuL8vJyrFq1iojCXDCTkpwMp06dwieffIK33nrL7rV3330XO3bsgMFgwOLFi3HZZZexCfbuvfdehIeH48orr3RYY5nJc8LkNunp6YFGo2Grs2m1WvaxWq22q96mUChAURRqa79GRsa5AJzPPpqpOADzKxB8+IKhp23nn4arvSdvjLvgd/ieiMUN62UA52IA2FseYp28r68v0tLS2LQUzO/SUQCYcSMxs5FCQkLY9s5cP+np6SgsLERjYyM7G2k2XclzgUeLgqslObm89dZb8Pf3t6u69uMf/xhJSUmIjIzEz3/+c+zatQtffvkl8vPzYTQaMTw8jNjYWPj7+wuW4lSr1VAqleyXjqZpfP3118jOzoZO51pKCi5SpqW6QxyAaYE4ro6G0uh5/s8uo7wh8GyLiCtWgl+jeAfhDQIAuE8E2PNJEAPAVhDu3nM1aq9xXKkwISEBHR0dOH78ODtwdBYA9vX1RXp6OismUuszK5VK5Ofn47vvvmPTbXhbDIHPvIjCbJfk5PLGG2/gxz/+sV1HvXnzZvbxwYMHcfToUSxfvhz33nsvDh8+zMYhpMKMKmY0OjBbbHp4vjBoNRQmp+zP7y5xAAAzr2awJ4qEM7gicqAzaxauMAn/NseJ0bwVfu1kdwuB7Tmdf7f4FkLt69bJIlJG/sXFxYiMjITBYJA0VTQ+Ph6dnZ2oq6tDXFycZDdQYGAgEhIS2CmxfJeWtzEvojBXJTn379+P2tpafPjhh07bLl26FGq1Gm1tbZiampIlPAwzXdVce3wfMlLPwb5D6ThnVR2A6QCzpFXObhQH9pwLQCQI0vHzpWZFCAD5AqPX23+Rh4aGEBAQ4HTk7+/vj6SkJFRUVKCgoEDSVFGKopCXl4fCwkL4+fnJig2kpqais7NTsM/wNmGYF1GYq5Kc27Ztw7Jly5xmNgTALmKJiYlhA8XO0uTycfcCNi6yVjlbgHjlBJrNM3dj2Z2biMSCQdh9496/pysCI5b6IiH/M1RWVmL16tWSRv4pKSno7OxEU1OT5EVlTEyioUFeHi+FQoG0tDSUlpZicHAQBoNB1vGehEeHybklOQ8ePIiDBw9i8+bNgiU5d+7caXPs0NAQ/vnPf+LnP/+53XkbGhrw2GOP4ciRI2hqasLu3btx7bXXYsmSJVi7di0AuFSn2R2ZUmuP7xOdzyfXCIlXTrDbbGFW0+xWciIBJSfOrBQQnsT215JEX2OmenK32cRipt0qCLfv3oCUlBQYjUY0NzdLsuQVCgVyc3PR0NCAqakpySP/hIQEaDQadoagVHx8fKBUKlFWVib7WE/CowPNgPySnAwffPABaJrGj370I7tzajQafPnll3jhhRcwMjKCuLg4XHrppXj44YfZwPF8JsUDAJoGhL7zjObItUi5wjAbFgQXR8KwOPnkrF77TIY+nXZhtjt8R7jqenLUh96+ewMAa1A3Ozsb33//PXJzcyV18kFBQWw9hKioKEn3QlEUEhISUFFRgb6+PpuprY6wWCzsDMP6+nqkp6d7nesI8AJRkFuSk+G2227DbbfdJtg+Li4O+/btE3yNyWcy3/mPvi1OxQ8Kjot2/q6KAzC3AsFHTDCIWMiDFsi7A8y9IHCNWndaBgyMIJx442UAVtdzREQETp48KbnDTU9PR1tbG0ZGpM/y0mq10Gg0dlNbHcEU8snLy0NxcbFkN7mn4fGiMNcwcYT5rNPMBJwBe4tBo6YwZZz+8c1EHABbgTju2incAlcslGbhH+Dq7Lq5up15RazDd8ZP7+lw850I4478SGaLY0EICFCwgsAnMzMT+/btk1RSE7CuPjYYDOjr68PExISkKeMWiwVarRZKpRJ1dXXIynI+i42JW/j5+SEtLQ2VlZVYu3ataOZWT4WIAg+KolyuqeBOS4Ey06y1IOZK4jJTcQCAc1Omg2tfN6S4fqJZ4mBVuqz2syUiUqajqnpGJZ+PnvD8KkLuTJRntginuODCFYSoMtvflEajQUxMDFpaWmAymWwzAoig1Wqh1+tRVVUlWguBC5NVlTu1NSgoSNIxgDUu0d3djf7+fuj1eqf350kQURDAE0py1jR+y1oLgHiMgY/Uds7gCgTgmSLhjINV6fAbcX8KDRoTUI94byBRCrORMlsqNZO2jQuPvGLXJjAwEG1tbaivr5c8io+IiEBzczM6OzudxheYKax+fn5ITU1FeXm5UzcSVxQoisLSpUslCZan4dGzj+YDiqJcrqngzkAzYLUWuND0tEXgCJq2Tl91p3/53JQGm42wsHj9i2V4/Ytlbq+hIOd8NZMW1ExasO27y9l9EYWDou31ej1aWlrsJpkIQdM01Go1srKyUF1d7fT3ze3gExMToVarUV9f7/Qa3OC3NwaZAWIpCDLXdZrFqGn8FplJP8DZZ9l2wmoVJbnYPSMMCoV7v6BCwvDVSe+zJs5EXv9i2axfQ66w8K0DwCoIxbXCk0xomoZKpUJycjK7QM3RbCTG3x8ZGYn29nbU1NQgPz/fYXvuqJ8JHkdERIi6kfiFfEjuowWEp1gKjpAbQ+BaDWICMVP31/mJJ+z2fdmULNCSMFfMhQAA1jU0UoWAG08QEgPAsYVgvZ61k09OTkZHRwdOnjyJpCTxdRrMKJ7JpHrgwAF0d3eLluLkL3bz8/NDSkoKKioqsGbNGkE30kIoxQkQURDEE2IKDIy1cNZZx0EJrDZ1JYYgRSDchZBQMBDBcB+0xTxnAsCFGQMFOAkcCyEkCNu+u5wVhG8r3hQ9lunkFQoFcnJycPToUURERMDX11fkPqc7bJ1Oh/T0dFRWVuKss84S9PsLpcVITEzEqVOnbBLtiV2DwRtdSN4va26GmX3kqvtoNiyFmsZvAQA0pjtzjXr6yyY11iDEXK1wFeL8xBOCG8EW2mJ2us0lTP1wV7/qTOxACEYQXnjnHoc+fO5IPjg4GFFRUaiurhYdlPFH/nFxcfDx8RG9hlAHz8xGOnnypGD1x4ViKXjFO3jiiSewZs0a+Pr6IjAwUNIxNE3jkUceQXR0NHx8fLBu3TpUVlbatJmcnMQvf/lLhIaGQq/X44orrkBra+uM3Eez5Uc8cCAVgK0w8OGLg0olb5RiFQfXf+zuYsrPImvzaswmj+rwheCKwEy+G84GH/97/gfs46ysLLS2tooGkflpLtLT0zE4OCiaUl8oCJyTk4OWlhbBDl4sjYa/vz/rRuIPAKXmV/J0vEIUpqamcO211+LOO++UfMzTTz+Nv/zlL3jppZfw3XffITIyEhdeeCGGh4fZNlu2bMHOnTvxwQcf4MCBAxgZGcFll102q+sU+GU4+/r60NXVhfb2djQ3N6OhoQG1tbWorKxEaWkpjh49ioMHD+L/3nmSPYcjYQBmZjlM36d7OoK5wJFgMHVz3b3BbHLP5qG482/PFYNTOuFO84N3z2Mff1vxJnx8fJCYmIiqqirB3xS/k9doNMjMzERNTY3gb1eow+bGCYQ6eLFRf1JSEhQKBY4fP+7wGClFejwRr4gpMLUXtm/fLqk9TdN4/vnn8bvf/Y4trvPWW28hIiIC7733Hm6//XYMDg5i27ZteOedd3DBBRcAAHbs2IG4uDhkZGSIWgpipTaZjn5qagoTExM2+x2V4RSryqbVau32vfC3etx7R5r1PkDbrW62v1f3rVvgdw4LwEomcPA5ZV3Z7q4BgFR3JCMGft1WgaS7e9kJG4mJiejo6EBLSwvi4+N557fv5KOiotDW1oa6ujq2rCaDWOrspKQkdHZ24sSJE0hNTbU5v5goKBQKm9lITEZUKem5vQGvEAW5NDY2orOzk02iB1hXNJ5zzjkoKirC7bffjqNHj8JoNGL9+vVoa2vDV199hYGBAYSFhaG1tRUvv/wyduzYgV/84hcICQmx6dgZ+B06M0KhKAo+Pj6C5TeZfcxMCDnwR0w0aFmrna33JuuSohCR8F4YAXAXNkV5ZMSmuNYBYBWEwu7/AZgeZWdlZaGsrAwRERE26SKEOmB+jWbu1FExdxATJzh06BAiIiLg7+/vsD2Dv78/kpOTUV5ejjVr1rDxRCk5kjydBSkKjF+RX4iHSaTFtNFoNAgKCkJVVRW2bduGwMBA9o9rMBiwZs0axMfHIzw83G40r1Qq7b40NTU1UKvVSEkRn6/PmKk0Tds8ZhB7zPDKtibcdWsi+1yjARijRug7rFJRMJm455x+Tag9RbnmerK+FdpOHLzRfF5IyBGA226tdukaUoWAcR3xxcCv22QjCMD09O7g4GCEhISgtrbWZl2BWKft6+uLlJQUVFZWsp219R7FR/4Gg4HNirp69Wr22s5yKyUnJ+PUqVNoaGhAWlqa3THeuk5h3sZ3jzzyCDsaENuOHDkyo2vwvzRiX6S1a9fim2++wX/+8x/k5OQgJCQEl156KX77298iJycHYWFhCAoKgp+fHzQaDRs7MJvN7MZYEGazGUajEUajEVNTU3Yb35VkNpthsUz7vrn3rlAo2DrQSqWSFaS/v90GoWIocmMJTPvZ/O6K+uQJbsfn1ITdNlu4OmuNLwiA1ULgw3z/aZpGRkYGTp06hb6+Ps71xYO6iYmJAKweA/YaTkb+qampMBqN7KBRykwixo3U2NiIwcHBBTP7aN4sBaklOV0hMjISAOxynHR1dbHWQ2RkJKamptDf329jZnZ1dcFisaCxsVH2DCS1Ws2m5+WKGwPzmLuf+7r8LxQFgLaxFgDX4gjuSKgn73rCnQmxLMSZSnKchtlHemZol5jJtOUnPz8b+hH7RIL6Kmu5Xa6VwMDM5tNoNEhNTWWzjjJiIfZdYVxCzAQTvV7vtMNWKpXIycnBsWPHEB4eLrkcb0BAAFv209fXl6S5mAmzmWs8KSkJkZGR2Lt3L5YsWQLAOoNp3759eOqppwAAy5Ytg1qtxt69e3HdddcBADo6OlBRUcHmR+Euc+f/L9SpR0dH49ChQ+yIfjZ5871O3HJDJBhh4MPt5PkuJEfQtO3Z5vprTdM0NkRLy630afv8pNXQDMmfruwMZx3+fOFMCJwtWnvy87MBQFAQdI3Wkb+QIDAwrpzY2Fi0tbWhqakJycnJoGnaof8+MDAQMTExqKqqwvLlyyVNFw0JCUFUVBQqKyvZuJ8UUlJS0NXVhZGREbsUGN4oDF4RU2hubkZfXx+am5thNptRUlICwGry+fn5AbDmWP/Tn/6EjRs3gqIobNmyBU8++STS0tKQlpaGJ598Er6+vrjhhhsAWP2It956K371q18hJCQEwcHBuP/++5GXl4dnn30WP/rRj1iXjVT8/Pzg4+ODnp4e1lqZTbjCoNHQEDJsXPHUcGWGf7gnfcWliIc2Ud4df1mc6rwRB58L5E9d5jNcFT7jc7gLdyxiZITAEbrGPijHjQ4FAbAdgGVnZ+Po0aOIjIyExWJx+ttMS0vDgQMH0N7eLnlmUEZGBg4cOACNRiO54ho3xbYr65s8Da8QhT/84Q9466232OfM6P/rr7/GunXrANiX5HzggQcwPj6Ou+66C/39/Vi1ahX27NnDzi4AgOeeew4qlQrXXXcdxsfHcf7552P79u2sy6moqAg/+MH0ghopRERE4NSpU7JEwWKx2Exf5f8v9th2PrawxcCgVFIwu1gqkYsni4Q7OL/AeamhI2ZpZR29gsnp79BMBUFMDLhWAmMdKMeNsEisg85YCwaDAZGRkeyEDmedPJMVtbKyUvLCMrVajezsbJSUlMiqs2wwGODj44P29nakpqbO6kLW2YaivfXOZ5lbbrkFvr6+eOaZZ5y25a5dGBoaQnl5OXJycuw6e7GOn5mFpFAo7GY5MY8d7fvFz6dzCBmNtKh1IEcUXP1SKKiZxyXkrsR2hFbjftlypyi4y0rwGZHwPifFrZqf3+E4LbQQjOvImWXAiAIjCABADYygeGiv5GsxExTMZjMKCwvh7++PkJAQhzP9mOOOHTuG7u5urFu3TlLVNQD46quv4OPjg4KCAsn3ePDgQUxMTCAuLg7Jyck21du8Ca+wFOaK3t5enDp1CgMDA4iNjcUrr7yC4OBgUBSFq666ymHnzsBMSTt+/Dh8fX1tOnJfX1+HnburX5433+vE+k2xiFGaoFZTMJ5e0DYfcm+hhae0eaFr1btxIADu4JXdK2EJ9HHaTj+isREDwCoIf/7sUVmzdZiRt0qlQnp6OqqrqxESEiLpuIyMDHR3d2NgYECyBe/j44ORkRF0dXUhPFyacNM0jfj4eBw/fhxhYWFeV3GNgYgCh/vuuw///ve/ERQUhICAAAwMDGDXrl3IyMiAxWKBTqdzOGpn1i6cOHECQ0NDWLx48Zzd+54PW1lhYGA6YkYc5LiQHDuj5CMmUEJiYTLRbrUWFjJmZlr8LIsAYBUCOfg1T0I7aDslSjluxP6Bz3Hw4EE0NzfLmmHIuJEiIyNRV1eH3t5ep5YCANY6qKurQ1hYmOTBV3R0NCorKxEUFCSpHrTFYoGfnx8SExNRUVGBlStXkkCzt7N9+3a8/fbb7PNrrrkGKSkpePjhh2WdJyIiAo2NjZLrx7oLVhjUJtZaAOzFQTI0Zj1oIHZP7krP4e2YpdWmnxUciYAjK8Gv2Ror0A7aCpVlbBQHe/YAsE4MKSkpQVRUlOTC9tygs5+fH/r7+zEyMsJONhG919PuWaVSiRMnTiAtLc3ptWiaRkhICMbGxgTTZohdh6IopKam4tSpU2hqapJUKtTT8P6VFm6Eb8peeeWV+N///ic7YKTX6+Hr64vu7m533p5k2szCQsRMT5UFzdvmEO7iOimbt5Gk6YJZDYfbXMCNJ7yyeyW7ycWvedKhIBw+LQiANd11aGio0xKXfBg3kkKhQFBQECorK53+PpnXc3Jy0NjYyK4lcgSTsiInJwft7e02C+ccXYep8ZCbm4uxsTGvDDYTS8EBl112GX72s5/h+PHjkkYXXJhZSM4KhLsbxlroUqhRPRCGcwLa7RsxuuDk+yqY8sKDpx8J/f5m4zeZpOly/0nni8kp2QLAtRIYERBtOzYKADaCwJCeno6ioiL09fXBz89PdPYdkyGAG88bHR1FRkYGTpw4gfb2dsTExIjfw2lLwWAwIC4uDpWVlU5dO0y8w9fXF6mpqaioqMDatWsdup64MZLAwEAYDAbiPlpoGAwGrFu3Drt27cLWrVtlHTtfLiTAKgwRFxZgUXAL9g1E2wmDSknBZKZtO3RXO08BkbDQ1llIhLnBr1NiCu5J982hdyQG2kEjKwYA8P6hV1FbWys68+7o0aMA7Gffcf/XarXw8/OzmZQRGBgIjUaD6upqhIWFQaOxXyAHTKe4oCiKXbvQ1taG2NhY0ffAXdGcmJiIzs5O0YprDCTNxRkARVG48sor8dZbb+G+++6TpfpcF9JcWwsAcGpvsY0wALARB1YYGEQEQnaCPKYtEYX5RaIATKVFOG/EtPUHAtsUwJA06wAAXv/iaUxMTEClUrGZg7mdvUKhQGlpKeLj45GQkCD5XpiEkqGhoQgICEB9fb2o35/bWatUKmRnZ6O8vBxhYWGi8QzuMRRFsYvToqKiEBAQ4PQYb4aIghOuvPJK3HPPPejo6EB0dLSsY+fLhcRwam8xAGD9plhUD4Rh35C9OAjiDguCMHe40QLgM+XvvA2DYmwSysFx9rmQy0iIzMxMVFZWIioqSnS0z4ebMC8zMxPFxcWIiYkRrMzIz2MUHh6O4OBg1NTUYNGiRYLn53fw/v7+bI6j1atXC3b+pEbzGUJUVBRWrlyJTz75RPaxERER6OnpcamKmzvZ82ErsgKng977hqKxbygaKqWELywFtJk1aDNL+7EyzLRYi9RcTWcC6mGzw83dTPlPb1wC20SKzoxNuiwIABAWFgaDwWBXycwZTIer0+mQlJSEqqoqwRrpQquZs7Ky0N3dLToZRCghXkpKCsxmM5qamgSPIeU4zxAoisIPf/hD7Nq1y6VZSHq9Hj09PbN0d9LZ82Gr3b59Q9H4qi/O6bGxautIlBEHV0TCJfgzn4Q2L+b7ylwAc9/pMzCuI64ISLUMGCFQjFldSYwg0EajLEFgyMjIQEdHB4aGhmQdx6xdSEhIgMlkQnNzs10bobxHOp0O6enpqKqqEkxnITTqZ2YVNTQ0YHR01K4908bbIe4jCVx11VV46KGHMDg4KGieOiIyMtIuhfd80fL594hcvgbqkOkRnVZrsRGG84JbJJ+PLwwxynlIBuZEGCYnaWhkprqQOtgrPDWzLK0GN3T42j5p+YP4XPbTOnxQLj2ewFgJjAhw4QrCd4Nfu3Q/vr6+SEhIQE1NDVasWCF5xM1NUc/kLIqMjLRJZyE2go+Li0NbW5tgAFksPhAUFISYmBi7xWlEFM4wUlNTkZGRgU8//RQ/+tGPZB0bHh6OhoYGGI1GSasiZ5vOI0WIXL4GAFhx0GotmJy0fpnFBCJWPYVWo2PrwE4kMOWVZTqdGYQzFYO55rKf1tnt+6DceSZTLkJiwECfdo+6KggMSUlJ6OjokB2/Y9YuBAYGIjQ0FDU1NTbZBMQypHIDyNHR0TalOJnXhUhPT8eBAwfQ2tqKuLg4m2OY63jj+gQGL/zJzj1cF5Jc9Ho9/Pz85m0hmxCdR4oAAMZeHxh7rXPOtVp7X+xXfXGS3EtizImLiWDDZT+ts9tcRTFFQzFFI7heJCY2OgZFj9XdM1NBAKwrjtPT01FfXy8rDsdYCkyVtp6eHhuXraNZQf7+/mwpTqYjdzbqV6lUyMnJQW1tLSYmJiQd400QS0EiGzduxPPPP4+xsTH4+vrKOpaZhSR39tJs0nmkCBEXFoDqp6aFIWSctRi4cIUh3f/UnN2jyUxLC4afgfzwgioAgMrHfTEHxZT96DbwpMAaiNExa/txEyxmE46O7HfbPYSHh6OlpQUnTpxwuCaADyMKarUaqampqKqqYhebSSnFeeDAAbS0tCA+Pl5SBx8WFoawsDBUVVVhyZIl7DH8SoveGHgmoiCRJUuWICwsDF999RUuu+wyWcdGRER4lAuJgZmyyriTjL0+0IxaMBUhPkqrG46AYmD6a5Ma1+bwGi1GDeLUM4g1uDszn5fAdPqOcFUQuK4jISFgsBOE02IAWAXBHdYBH4qikJmZiUOHDiEmJsZpXiP+sUyVtvb2djQ2NiI1NVVyKc6SkhKEh4ezbZ2N+rOysrB//36cOnUK/v7+UCgUXikCfIgoSEShUOCKK67Arl27ZIuCr68v60KaD2uBqfcglC7AaDRi//tv4YJLf4rJAMCkV0Bzalq4HAkEABxvsU0v4EwkXELO78wLBOSaaGu+H9+Uue9AJmnaoRDYwREClpEJfOdG64CPn58fYmNjUVtbi6VLl8oOOtM0jezsbHz33XeIioqSNFU0NDQUYWFhqK6uZpPYOTtGo9EgKysLVVVVWLx48YIQBICIgiw2btyIq6++2qUR/0xdSBaLxWFuGGeV2wDrl1wsjcCXu9/G+ZfcxAqDatRqDjMCwRUHS6DJxlrgIiQSM7YW5DAHv0umU/cGJnkBz4+PSQswB1aJTA0dmXCru0iM5ORkFBUVoaurCxER0mdJMdaCv78/oqOjUV1djcjISEm+/szMTBw4cADd3d2SXT9RUVHo6OhAY2Pjgli4BiwQUXjiiSfwySefoKSkBBqNBgMDA06PoWkajz76KF5//XW2XOfLL7/sMEXuWWedBaVSiaKiIpxzzjmy7jE8PBzHjx9nMzTKSf4lVp2N37nz6z0IFfFx9EU9WWcNQCekr8FkwLQwALCzHhwJAxdGJOo42QTOj2mU/Lkt1NoKvj4ze09CriO+APBxJgi+p6zCr+kdt39xjsSAQa1WIy0tDXV1dQgNDZVcA4FZ6WyxWJCamorCwkL4+PhI6qC1Wi3S09Nx/PhxWdZJdnY29u/f73UV1sRYEKIwNTWFa6+9FgUFBdi2bZukY55++mn85S9/wfbt25Geno4//vGPuPDCC1FbW2tTx5mLUqnERRddhLfffhsajQZKpRKJiYk2Hbmj/wGguLgYSqVStONmqrU56thnm5N1RUhIXwNAAbPSflYSIxCqURMmgqXdj2ISsJwWhi/bkgTbyBGLMx1nAiAVRggY+IJgGZ+Awow5FQSGqKgotLa2srEBqTAuJKVSiYyMDFRXV8NgMEg6NjY2Fi0tLZiakm7Z+vj4IC4uDs3NzfOSANPdLKgazdu3b8eWLVucWgo0TSM6OhpbtmzBr3/9awDA5OQkIiIi8NRTT+H222+3aZ+Xl4f29nYMDAywI3Y/Pz+cffbZuP/++206bn5VNu5zZsXm0qVLZ+X9u5vUmJUw6q1fcOXoFKYC7L/sqlHbYKQjkbBIq6Vix0UJTa4deBqN2r2Whk438/PNxFIw6yRmReXAWAl8EeDCCIJlfILd9/3g3IsBl6GhIXz33XcoKCiQNeuPSZhHURSKi4tB07Rk676jowOlpaUoKCiQLCbd3d34/vvvERcXh6ysLLYeg9RcTp6Ed0uaizQ2NqKzsxPr169n92m1WpxzzjkoKiqyE4VXX30Ver0eQUFBrIm5e/duLFu2TNZ1o6Oj0dTU5HGzkMQ43nYYACMOGmiGrKMnrjiY9CobYdD12bo1uCLBtRbk8PnJRCiN0iySC1Ib7PZNGWm3C8NMmKnrSC4f1K1EiAMxAKyCwBUDYP4FAQACAgIQFRWF2tpaLFmyRPJx3JhAWFgYTp48iaGhIdEMp1x0Oh2USiUqKytFk9/xoWkaOp0OLS0tDjOpegNnpCh0dnYCgF0AKyIiAidPnrRrf9ZZZ9k8v/jii7Fr1y7ZouDr6wt/f/95m4XkKow4JKSvgXJ0CpqhaRGYClDZCQMXvkiMRc2u++uL48KrjS/NPuG2a8ynvDizEj6osy+YE9Ig3qkpeoet6w04+zxBDLgwsYHu7m6EhYVJPo4JOqtUKuj1elRVVWHVqlVO4wXMegcml5KUOtIWiwVqtZpNgbF69WqvjTF47PK7Rx55xCavidB25MiRGV2D/+VwtsiFwdUynYBVeBhR8jZO1hVBwfvKaIZM0AyZoJA4Zd63wwx9u8VmI7jGB3Ur7TY+QoKg6B2e3satIkObTfh+cL/HCQJgnfqZmpqK2tpawSyogPW3azabMTExgZGREfT396O7uxudnZ0YGBiAv78/JiYm0NpqnxiSD7cUZ319PcbHBQLvAscoFAokJSWBoig0NnpvfMxjLYW7774b119/vcM2UhRciMjISACwS1QndfrbpZdeip/97Geor69Henq6rGtHRETg+PHjXuNC4sN1KdETk6B10+9BYQab29/iK+5LpSkaFD0tvmLCMBo93aGZ1WbJLqSFjFDHLwZXEBS9w3avK8ZNoM1WUSgZKZ75zbkBs9ksOBvPYrHAZDLhyJEj8PX1FZzcwQgGM5GDG8+LiIhAVFQUKioqEBER4dDXz3TwISEhiIyMRFVVldP1Ekz8gsmkeujQIURFRSEkJMTtn9Fs47GiEBoaitDQ0Fk5d1JSEiIjI7F3717WTzk1NYV9+/bhqaeecnq8wWDAueeei127duFXv/qVrGv7+PjA398fXV1dDuvKejqMOKSEWIuUsOKg1QCTU1CM2c7ecCQSYvDFQsFLcTwW6X1BvJnwbrP0CQphh0cdvk6NTIDG7IgBf02NlMfc8pwABGfoBQQEoK+vj61/LDY1mx8DYILOCoUCQUFBqK2tRV5enuj9cz0GGRkZ7KplZjAp9p6Z6xoMBmRnZ4tWdfN0PFYU5NDc3Iy+vj40NzfDbDajpKQEgNUXySyTz8zMxJ/+9Cds3LgRFEVhy5YtePLJJ5GWloa0tDQ8+eST8PX1xQ033OD0ekyZzjfeeANbt26VvUiFWcjmzaLA0NBbiiNHjmDTRbey+2idxq4amJBIcK0FKViUFBScEqK+ndKnDX6CZLfGFURx8pZ8XJy55EgQAuts4wzqAeGMpvTp6aWAczFgRuZinbejx9w1NfxO29HUa+7rYsHd8vJyTExMyLLQuVXaMjIyUFRUhNjYWAQFBYm+d+b6Go0GmZmZqK6uRkhIiKh1z8/EGhUV5ZWeAGCBiMIf/vAHvPXWW+xzZvT/9ddfY926dQCA2tpaDA4Osm0eeOABjI+P46677mIXr+3Zs0d0jQKfH/7wh7j77rvR3t4uu3P3dhcSn5iYGLz931ewZs0apIYuBjVhBEABJhNotbDLhxEJymIbl7HodULNZ4xv5xQo8XWJ8pjHSDNfAPjwBYHmzChSmIHPju+E0WhEY2Ojw86dKTwjtlhSrVZDp9PB399f9PXZyBialpaGoqIi9PX1ITg4WPJxTNBZq9UiJSUFlZWVWLNmjWhZTe5ALzo6Gu3t7aivr0d2drbg+RdKfWZgga1TmEtomsbZZ5+Nq6++2m4KqxQOHTqE2NjYBWEtmM1m7N+/H/n5+ewPNdWQB1p1+kdimu7IhESCLwxCcMWCay3I4bzznQcZpaDVuq4KciyFD8qsLg7/LmnHqAcmbUSAgTLTeHbn4/D19bUbkQuN4rn/e+IMmqamJnR0dGDVqlWyOmKuG+ngwYOIiYlBUpL9QsrW1lZ0dHRgxYoV7L7R0VEUFRVh+fLlghYGU40tPz8fgPU3wXym3saCsBTmA26Nhdtuu+2MdiEplUpERUWhra2NFYXjg+UArOIAKECfnvRIGW3jArRaCVpBORUGxSinsxNq6zs7FoY74QoC0+E7w5kgMPUMFEbaJhcgbTbju55voVarQVEUjh49iuDgYKSkeFeBICHi4+PR1taG1tZWxMfHSz6Ou3YhKysLx44dQ2RkJHx8fGzaCY369Xo9kpOTRS0M/jHemjYbIKIwI6666ir87ne/Q39/vyxTFph2IU1NTXnlqkc+sbGxOHjwoN37YcQBOG09mM0Ap0aCjUhYaEDE3WSDgrIXhjH7ETKfj1vF/dA/jJVWjIZrJfy7K03SMQzKAR/njRzACIDdfqP1s6BPu3zKRw7btUlNTWVX3Hr7902hUCAzMxNlZWWIjIyU9X4YN5LBYEBERARqamrsFsWJuYKYynBNTU1ITk6WdIw3QkRhBiQnJyMrKwuffvopfvzjH8s61sfHBwEBAeju7l4Q1oJer0dAQAA6OjqQkJAg2IYrECl+p32z3CI6Cgowiix4kCIWTvD/vg/DS4TF25FgcFFJLGzPR64g+DdOQDHueBWywkiDNptZC0FIDBiCgoIQFBSExsZGWcVrPJWQkBAEBwejvr7eYRJLPtygc3p6uuCiOLH1SgqFAjk5OThy5AgiIyNt0m7w4xDe7JVfGNI2T8ykTCdgzZx66tTcVTKbbWJjY9HW1ibpB9EwUoWGkSrATNtuChGT22i23cwWwHR680L8GyccbkKCQE9OgZ6cAjVhAjVhXWNQPnKY3ZyRmpqK1tZWtoSkt5Oeno7Ozk6bCSRSYDpvlUqFtLQ0VFVVsYF1wPGoPygoCNHR0aisrLT5novVgfZGiKUwQzZu3Ig///nPLpfpXEgupPDwcNTU1GBgYEB0uh8Ds0iptPMwO+ulIGkdaKEgsphrlqnKJkMYDA0mDKa492vvV+m4M1BN0QCkd8SMINCT9lNuK4ddX8Xv7++PsLAwNDQ0yBpdeyo+Pj5ITExETU0NVq5cKcuHz7iRoqOj0dbWhoaGBnaaqzNXUHp6Og4cOICOjg42XQ2T5mIhQERhhixatAgRERH44osvcMUVV8g6lnEhdXV1ITY2dpbucPYQWqRkMBhQW1uLsLAwh3PahRYpffDNWzYzXy5ZuhE0aPFqahRkl+u09A3AgECX3zOldrN4D08vMqNOD1Zt3g5tQeXIMbddLiUlBQcPHkRiYiL0er3bzjtfJCYmor29XfbUcH6VtkOHDiE6Ohp+fn5OK7Wp1Wp27UJoaCg0Go1goNlbIaIwQ7hlOuWKAjA9C2m+RMHdi5QoisLw8DB8fX2h1WrZaZBi0x8djciOj1TaPE/VW+MQ7Jo3Tu9JORAGmWvk3Iqqd0RSO8oMgJ62eNwpBFz0ej2ioqLQ0NDATp/0ZpiaCVVVVQgPD5c1WmesBab8Z1VVFVasWCHJFRQZGYn29nbU1dUhNzdX0LrwVmEgouAGNm7ciI0bN7q0GC08PBz19fUzciHRNC2pU5/pIiWxOe38H8N3330Hg8EgGnB2leOjtsXsGZFgPwdKWBz4++jeAShc/KwVEF4tLNhWQI1o07TvWnHaLzZbAiBGcnIyCgsLJaeS9nTCwsIQEBCAhoYGZGZmSj5OqEpbR0cHmxDP2bFZWVkoLCxEdHS0pDrQ3sKCFYX+/n7cc889+O9//wsAuOKKK/Diiy8iMDBQ9Jibb77ZZmU0AKxatQoHDx50eK2zzjoLarUahYWF7ApqqTAuJCa3ipT8MEJlOwHrF1UsrYBOp3O4UMmdi5RiY2PR2NiI+Pj4Wf2h8EWCIVWfDcrBsmMaNCxTUy4LgyAm25XGFK2w82pVj3zvvuvNAJ1Oh7i4OBw/ftxrCj45gqIoZGRksAvSpGYlYI5lLIOMjAzU1NQgLCxMUvU0X19fpKamorKyEjqdjh0c0TTt1bOPFqwo3HDDDWhtbcVnn30GALjttttw4403Op0pdPHFF+PNN99kn0sZvSuVSlx++eX4z3/+g5ycHIyPjyMwMFDyiH1ychKDg4OoqalhO3Yhd4tGo4Fer3c4YveE0YqcgPNsICYWDOl668IxesoIipI+Y0RBKQDw0kxwfvs1I6WSzzXfJCYmorCwUHa6CE9Fr9cjLi4ONTU1WL58uUtB5/DwcLS1tWFgYMAme7IjEhIS0N7ejrGxMTL7yJOprq7GZ599hoMHD2LVqlUAgL///e8oKChAbW2tw3naWq3WYTZEBovFgg0bNqCvrw/9/f04deoURkZG8Pe//x3Z2dl45plnBDtvjUZjk25ApVKBpmkcO3YMZ511FnQ6nUd07DNBqVSyszrmQxScUTda7rwRD6PRiP3792PZsmWSSzR6MhqNBgkJCTh+/DhWrFjh9d85YNotxk+J7wxu0DkrKwsHDhyQXKOZSZVdXFwsq66zJ7MgRaG4uBgGg4EVBABYvXo1DAYDioqKHIrCN998g/DwcAQGBuKcc87BE088gfDwcLt2CoUC119/PQICAhAUFARfX19ccMEF+OCDD7Bu3TrZowaDwYDe3l6vnIUkRExMDA4dOoSMjIwFMVWPqarV1NSERYsWzfftuIX4+Hi0tLSgp6dHVkUzT0WlUiE9PR319fWSXUAMjLXg4+MDvV6Prq4uZGVlSRJLg8EAjUaD9vZ2NpeSN6e5WBj2Do/Ozk7Bjjw8PNxh1bMNGzbg3XffxVdffYU///nP+O6773DeeedhclI4uHjLLbfg6quvxnnnnYfVq1fj0ksvxTfffOOSGcnMQloo+Pn5sSucFwrx8fHo6enB2NjYfN+KW1CpVEhKSsLx48e92gfOhcllJLfyGTfo7OPjA7PZjJaWFsnHazQaTE5Ooq2tTe4texxeJQpySnQKqbSzcpubNm3CpZdeitzcXFx++eX49NNPUVdXh08++UTS/c20TGd/f/+CMUEBq7XQ2tq6YDocHx8fREREoKmpab5vxW3ExsbCZDJ5bYlYPhRFITMzE83NzRgddVxoiA9N05iamoLJZEJUVBTq6upEB4RCx8bHx6O2ttbrf8Ne5T6SWqKzrKxMcNTd3d0tqdwmQ1RUFBISElBfXy+p/aWXXopbbrkFtbW1sqbGAdYZIQaDwWsXsgkRERHB1rFwNOvLm0hISMDhw4eRkpLitZW1uCgUCqSkpKChoQERERFeHyylaZoV78rKSqSkpIius+E/507PTkpKwuTkJGpqaiS5Cy0WC4KDgzE8PIyamhqHld08Ha8SBaklOgsKCjA4OIjDhw9j5UprTdtDhw5hcHAQa9askXy93t5etLS0SA5a+fv747zzzsOuXbtkiwIw/wvZ3A2TUru1tXXBiIK/vz+Cg4PR0tKC1NTU+b4dtxAVFYWmpia0tbUhLi5uvm8HgPBqeanPuZZpRUUFOx2bO9lDaBYf85zxJgQEBODAgQPo7e11WmuZWbyWnZ2N/fv3o7e3l02B4W14lShIJSsrCxdffDE2b96M1157DYB1Supll11mE2TmlugcGRnBI488gquvvpr9kfz2t79FaGgoNm7cKOm6TJnO119/Hffff7/sQFN4eDjq6uoWTC4kwOqeWEgBZ8BqjZaUlCAxMVFWMNNToSgKKSkpqKmpQXR0tNvWrNA0za6jEevEpSyq5Hba3I7cz89PsFNn/m9ra0NTUxOWL18u6z0xxXjUajVSU1NRVVWFtWvXOrSiGFHQ6XRIS0tDS0sLEQVP491338U999yD9evXA7AuXnvppZds2nBLdCqVSpSXl+Ptt99m5ymfe+65+PDDD2Uthrniiitw1113oa2tTfaIn3EhnTp1ymNGbDPFz88P/v7+6OjokFUQxZMJDAyEXq9HW1ub21dtzxfh4eFoampCc3OzXTUyZtQup1Pnj9qFOm61Wg2tVgs/Pz/R12fizmJiWk1NTbKKC3HTa8fFxaG9vR2NjY0Oz8FNjREfH4/Y2FivnX20YEUhODgYO3bscNiGa2b6+Pjg888/n/F1IyIisGbNGuzatQt33nmnS8cvJFEArNbCyZMnERcX57U/FC4URbHZOePi4rzCDy80aud35Gq1Gg0NDeju7obZbLbLccVNXig0ahdbTc91ycwlTND56NGjiI6Otquw5uxYpn/Izs7GkSNHEBUVJZoJmZv7iBEVb2XBisJ8QVEUmyDvjjvucNmFNDk5uSACmcDCDDiHhYWhvr4enZ2dc+om4I7anY3U+fsA6/dTLMeVwWDA+Pg41Go1kpKS3Dpqny8CAwMRGRmJuro62etLmLUL/v7+iIqKQnV1NZYuXWr3m+bWfl4IEFGYBTZu3IgHH3wQfX19TgNUfLizkBaKtcCt4bxQRIGiKCQkJKCpqQlRUVGyxJ8Ztcvt1J2N2rkuGaFOX61WQ6lUOrzX0NBQHDlyBNnZ2QtmUJKamoqioiJJAWMuXDcSkzCvq6vLbgYjY1Fwcx95M0QUZoHk5GTk5OTg008/xU9+8hPZxy9EF1JMTAwOHz6M9PT0BRNwZooktbS0wN/fX5bPHbAftfMTGPr7+4u+PlujUoPBgJCQEDQ2Nro0g84T0Wq1SE5ORm1tLVavXi3rs2PcSCqVChkZGaiurkZISIjNBANuCvmFABGFWYBbptNVUVhoLiR/f3+PDDg7GrVLrSdRW1trN+2Rm3ZcbPaMs1H7fJGamopDhw4hISFBlh/ek4mLi0NbWxuam5uRmJgo61jGjRQZGclWaePOYmS+B574t3QFIgqzxMaNG/HMM89gdHRUdoUrrVa74FxIwOwGnJnAqJxOnXkOOE87LlRPQq1Wg6ZpFBYWIi8vb8G4xvz8/BAREYGGhgbk5ubO9+24BYVCgczMTJSUlCAqKkrWYIubxygrKwsHDx5EdHQ0OytRyFLw5txHRBRmifz8fERHR+OLL77AD3/4Q9nHR0ZGLjgXkrOAM3/ULsfnzvwwmdkuQiNzHx8fUXfMTEbtsbGxaGpqwuLFi2fw6XgWKSkpKCoqQmJiIvz8/Ob7dtxCcHAwQkNDUV9fL1vsGGvB19cX8fHxqKqqYutCMzEEbxUBPkQUZglumU5XRCE8PBy1tbVe50JiZmKIdeo+Pj6orKxkffD8OhOA7ajdURU4oQVL8+HXjY+PR2FhIUZGRhZMB+rj44OYmBgcP358QYldeno6ioqKMDAwIMuy4ybMS05ORlFREbsWiZl5RESB4JSNGzfiiiuucGmFslarRWBg4Ly5kIRKfEp1z3BH7fxO3cfHB11dXYiMjBSsBudJxYKkotPpEBkZiZMnTyInJ2e+b8dtJCUlobCwUHYH6snodDokJSWhpqYGq1atkl2Mh9kyMzNRWVmJ8PDwBVWfGTgDROGVV17BM888g46ODuTk5OD555/H2WefLdp+37592Lp1KyorKxEdHY0HHngAd9xxh0vXXrNmDXQ6HQ4cOIDzzjtP9vERERHo7Ox0WRScjdoddfpSRu1MsSCxEp9io/bDhw9Do9EgJibGpffliSQmJuLgwYNISUmBTqeb79txC1qtFvHx8Th+/DiWLVvm1R0dl4SEBLS1taG1tVX2b4txI4WGhiIwMBB1dXVes4BRKgtaFD788ENs2bIFr7zyCtauXYvXXnsNGzZsQFVVleAMmMbGRlxyySXYvHkzduzYgcLCQtx1110ICwvD1VdfLfv6TJnO//73vy6JAuNCmpiYgEKhcCmQyvg7hUbtTIlPfiW42R61x8TEoLm52atTAfDR6/UICQlBc3Mz0tPT5/t23EZCQgJaWlpcWnPjqTD1mCsrKxERESHLiudWacvMzERRURECAgIWlChQtLevtHDAqlWrsHTpUrz66qvsvqysLFx55ZX405/+ZNf+17/+Nf773/+iurqa3XfHHXegtLQUxcXFLt3D7t27sXnzZlRVVWF0dBRqtdrh6J3fqU9MTLDnUigUooFSsU6dn/nREzCbzfj222+xdOnSBVHakmFgYADHjh3D2WefvWDWYgDWwVJXVxcbWF0ofP/999BqtcjOzpZ1HGOBK5VKNDU1sTVD1q1bBwDsa96a1HLBWgpTU1M4evQofvOb39jsX79+PYqKigSPKS4uZhPoMVx00UXYtm0bmxtGCo8//jgOHTqEvr4+9PX1oaOjAyEhITCbzXj55ZeRkJAg2KnzR+1qtRq9vb3o7e2VnenRk1EqlYiMjERra+uCEoXAwED4+/ujtbXVLqmcNxMfH4/m5mbB1bzeTEZGBoqLixEbG4uAgADJx3GDzowlxcTRFgILVhR6enpgNpvtvsSMn16Izs5OwfYmkwk9PT2S6yqkp6cjJCQEwcHBCAoKwrPPPovo6Gg8+uijCAkJkdW5+/r6oqmpCUajccGIAmCdxrnQVjgD1tgC455cKH8vpVKJ5ORkNDQ0ICwsbMG4Snx9fZGQkICamhqsWLFCdtCZcbLExsbi+PHjmJiYWBDxpAUrCgxCyasc/fGF2gvtd8SmTZtsng8MDOChhx5CWFiYbPObOwvJk1YCzxR/f3/4+fnNKJDuiYSGhkKtVqOjo2PBFEsCrHGgkydPoqOjY0FNEEhKSkJ7ezs6OjpkJzZkgs4+Pj5Qq9WoqalZENN3F4bkCxAaGgqlUmlnFTgygSMjIwXbq1SqGQXZNmzYgObmZptYhRyYXEgLjdjY2AVVwxmYTqt98uTJBfW+mLKdJ06cWFCuEqVSifT0dNTX17M5qaTCBJ2ZRW09PT3o7u72+r/7ghUFjUaDZcuWYe/evTb79+7dK1qSs6CgwK79nj17sHz58hm5OAICAnD++edj165dLh0fERGBwcFBm6DzQiAiIgLj4+MYGhqa71txK5GRkTCbzejq6prvW3ErkZGRUKlUaG1tne9bcSsRERHQ6/U4ceIEAGugeHJyEiMjI+jv70dXVxdbxa2+vh5VVVUoKyvD0aNHcfjwYdTV1UGlUiEtLQ3V1dUwm81eHZBf0O6jrVu34sYbb8Ty5ctRUFCA119/Hc3Nzey6gwcffBBtbW14++23AVhnGr300kvYunUrNm/ejOLiYmzbtg3vv//+jO9l48aNePXVV/HAAw/I/sJoNBoEBQUtOBeSSqViU2ovpICzQqFg02qHh4d7dQfBhaIopKamsmt4PLkUqdAaHUfrdSYnJ9Hf34/W1laHKVPEJoT4+PhAp9Ox4uHNGWY996/qBjZt2oTe3l489thj6OjoQG5uLnbv3s2WUOzo6EBzczPbPikpCbt378Z9992Hl19+GdHR0fjrX//q0hoFPpdffjnuvPNOlxbMANbRjKdlGHUHMTExOHLkCNLT0z26k5FLTEwMTpw4gf7+fgQHB8/37biN0NBQ+Pr6orm5GcnJybN+PZqmbarAMR361NSU4JodRyvrhTp3vV7PPu/o6MDExAQWLVoku6iQxWIBTdPIzs7G4cOHERcX57WrwBf0OgVPgpnHfPnll+Ouu+6SffzU1BS+/fZbnHXWWQtihgOXQ4cOITo6ekEFnAHg+PHjGBoawtKlS+f7VtxKf38/vv/+e5x11lmS5+JLSVEuNpIXqvPsaF0Os1+j0chao2M0GlFUVITMzEzZU2+51dd6e3sRERHhVTnLuCycoZmHw9RY+Pjjj3HnnXe67EI6derUgikWz8AUWF9IK5wB6/z+/fv3Y3h4mE2z7O3QNA29Xg9/f3/U1tYiKipKsosGkJY2RWxR5mx/N9RqNdLS0lBXV8dOVJEKt0qb3GM9DWIpzCGNjY1IT09HQ0MDQkNDZR/f2tqK9vZ2rFy5chbubv4wmUz49ttvsWzZsgUVWwDABh49rS6BxWJxOlp3Vn+Cpmn4+vpCo9EIjtaFRvKeWliIgaZpfPfddwgODkZqaqrs400mExQKBXQ6nde6Q73zrr2UxMRE5OXlYffu3bjppptkHx8eHo6ampr/v717j2nqfv8A/iZQkaKW0gqlXvAGiKgbgQl1AW8bE6ZRZ3YzYaibERenSMhwl0zdhs5FiW7OGVE0E5O5DVl0OhxzFqaCgoJj0rE5FbTColBABCng+f7B75xfD7SlLfQGzytppqen9NNOnuf0+Tz9fAbMl2RYbm5u3K5WAy0p+Pv74+LFi5g4caJVdjHrbTLVUO29s7MTQNekuKGAbmj/CbbeXl5eDjc3N7OXiXBkLi4uCAgIwMqVK/Hpp58iODgYzc3NqK+vh0ajgUajQV1dHffn+vp6NDQ08O7XaDTYvn07EhIS7P1yLEKfFGxsy5YtKC4uxnfffWfR469cuQKpVDrgSkhNTU0oKSlBdHS0015hGfLHH3/A3d2dt4WjLmOdMr1dzbOTqa6uriZfrXffXMhSjx49QlFRESIjI83eXdBW2PDGMAwePnxoMLjrBnmNRoPr16+jra2NW0LexcUFXl5ekEgkEIvFEIvF3IoF7OoF7E0qlSIoKMhpGwwoKdhYeXk5ZsyYgaqqKos2ZBmoJSQAKCoqwujRo532m8CGOmWamppQVVWFUaNG6Q3+xjplDAX07ufYa+mJiooKdHR0YPr06VZ9Ht3g3tTUZHJw172xpR3dgM7+ufvN1dUVa9aswc6dO/HSSy9BJBJxCdSRy1/9YWBdkjmBkJAQjBkzBnl5eViyZInZj2dLSK2trQNmU3UW+w1neyeF/u6UYQN7U1MTpFKpwZ3jBAKB0wWcCRMm4MKFC6ivrzfpyph9f548edJrcNcX2DUaDTo7O+Hq6trjip0N6AEBAdzf2at4iUQCiUSCESNGmBzcm5qacO/evQGzZLip6JOCHaSkpODu3bvIzMy06PEDtYTETjiHh4ebtWqlIYZ2jzOlPAPwO2V6u2LvrVOmrq4O5eXliIqKcurOFJZucN++fTt+/vlnpKencysDmxLcnzx5Ajc3N4PBnS3V6Avuw4cPHzRX7rZGScEOLly4gBdffBG3b9+2aM31gVxCqqioAADe5GVvnTLGAj7Qsw3S1Jp7f3bKMAyDS5cuYdSoUQ71fQz217+zsxONjY1cADc1uDc0NHClLy8vL/j6+hoN7lKplKvDs8GdLX1RcHcMVD6yg8jISAiFQhQUFOC5554z+/HOWkIyZdmB1tZW1NfXo7GxkTtmSqeMu7u7wfscYc9nFxcX+Pv7499//8WoUaP6fQ5AN7jrdsOYEtzZ95thGAgEAl5QZwO4WCzG1KlTDQb39PR0nD17FgUFBQNmae3BatAmBXP2blYqlZgzZ06P4yqVyqI1TnS36bQkKQwZMgTe3t7477//MG7cOLMf3xfW6pRhr9YlEglaWlrg5eUFmUzGu8/Zyy6+vr5QqVS4evUqwsPD9Z7DBveOjg6zgzt75Q78/78RfV0yo0ePNhjcPT09LbpyT0lJQUdHBzo6Opx2xzHSZVCWj44dO4b4+Hje3s0HDhwwuHczmxQqKyt5te6RI0daHKhyc3OxYsUK/P333xb9DLVaDbVabXEJyVCnjCklGks6ZXTv6+1K8u7du1Cr1YiIiLDotTkC3eCuG9gPHTqEX3/9FUlJSXr729lbY2MjgK79NAwFd93j3YO7UCh0iE9IxPkMyqRg7t7NbFLQaDT9tshVW1sbZDIZjh8/blHwY9dCmjlzJgQCgdmBvXunjO5aMabU3a3ZBtnfE859wb5H7e3tPa7YdQO6oeDOLgvu4eEBsVgMkUiEf/75B+Hh4QgODuYFdzagdw/u7Lr9hNjCoCsfWbJ3Mys0NBSPHz/GlClT8OGHH+otKZnK3d0dsbGxOHHiBCIiItDZ2clduZvaKQN0TVoDXR/1DQV0dk0ZfffbYk0Zc+l+w7m/kgIb3LVardFyDHus+1X8w4cPAXRt4Wjoy0sTJkzgdcjoTrQKhUIAXf+ftmzZgvPnz1vcfUaINQ26pGDJ3s1+fn7Yv38/wsLC0NbWhiNHjmDevHlQKpWIjo42+bnVajW2bduG+vp61NXV4caNG6iurkZGRgZEIhH27t1rtFPG09OTF9g1Gg3u37+PZ555xuHXlDGXXC7Hl19+iXfeeYf36Uw3uLNBW9+Xl9hj3YN7c3MzAMDT05ML7t1LMpMmTeK1QOoGd3Zivy/v9dq1aw3OXxFib4MuKbDM2bs5KCiIt0SBQqHAnTt3sGPHDrOSgpubGzw9PTFmzBh4e3vDw8MDK1euxO7duxEREQF/f3+z6sAjRozA7du30d7e7nRLQ7DBva2tTW9wr6urw759+3D27FnI5fIewf3Ro0cAgGHDhukN7lKpFIGBgXqDO/veA/Zpg5RIJJg7d67Nn5cQUzhXJOkHluzdrE9kZCSysrLMem5fX19s376dd+zYsWOoqqrC66+/btbPAsC1D9qjC4nFBvfHjx8brLfrBvuGhgbe/S0tLQCA4cOH9wjuU6ZMwc2bN7F06VJuIrX7F5nYNesH0qckQuxp0CUF3b2bdZeZyMvLw6JFi0z+OaWlpfDz8+vzeBYvXow9e/YgNTXVosDm6+uLu3fv9jkpsMGd/Z6AKcFd977W1lYAXZ9e9F25y2QyTJkypUc5hv0v28ao+x40NTXBz88PcXFxmDZtWp9eHyHENIMuKQDm7928a9cujBs3DiEhIdBqtcjKykJ2djays7P7PJZFixYhMTER1dXVFi1b4ePjg61bt0IsFiMgIABAV4C3NLg/fvwYACASifQuGCaXyzF16lS9wd3b21tvcLfUiBEjcO3aNUycOLHPP4sQYppBmRTM3btZq9UiJSUFarUaHh4eCAkJwalTpxAXF9fnsUgkEjz77LM4efIk1q5dC4C/ImRLS4ve4M4ea2howE8//YSzZ89i2LBhXHBva2sD0LX0QPfgLhaLMXr0aEyfPt1gcBcIBADsX5axZKMTQojlBuX3FBzNe++9h0OHDiE8PLzHVb1Wq+XWctcX3L29vXHjxg1cvnwZu3fv5rVEisVibgLa3sGdEOIcBuUnBUezYMECXL58GXPmzIFUKuVduUskEnh5eRkN7hqNBmPHjkVERITZG44TQogu+qQwQDjb4niEEMdESYEQQgiH1rglhBDCoaRACCGEQ0mBEEIIh5ICIYQQDiUFQgjRIy0tDTNnzoRQKDR5HxWGYbB582bI5XJ4eHhg9uzZuH79unUH2s8oKRBCiB5arRYvv/wy1qxZY/JjPv/8c6Snp2PPnj0oLi6GTCbD888/z+3H4QyoJZUQQow4fPgwt32qMQzDQC6XIykpCampqQC6loZnV0devXq1DUbbd/RJgRBC+sGtW7dQW1uLmJgY7pi7uztmzZrV666OjoSSgo6CggIsXLgQcrkcLi4u+PHHH3t9TH5+PsLCwjB06FBMmDAB+/bts/5ACXEwGo0G8fHxEIlEEIlEiI+P7/XKevny5dz+0+wtMjLSNgO2AnaPFnN2dXRElBR0PHr0CE899RT27Nlj0vm3bt1CXFwcoqKiUFpaivfffx/r1q3rlyW1CXEmy5YtQ1lZGXJzc5Gbm4uysjLEx8f3+rj58+ejpqaGu50+fdqq49y8eXOPRNT9VlJS0qfnMGdXR0dEC+LpiI2NRWxsrMnn79u3D2PHjsWuXbsAAMHBwSgpKcGOHTuwdOlSK42SEMeiUqmQm5uLoqIiREREAAAyMjKgUChQWVnJ28q2O3d3d8hkMlsNFWvXrsVrr71m9BxLN6xiX0dtbS1vAy5zd3W0N0oKfVBYWMirHwLACy+8gIMHD6K9vZ3bk4CQgaywsBAikYhLCEDXdrUikQgXL140mhSUSiV8fHzg5eWFWbNmIS0tDT4+PlYbq1QqhVQqtcrPHj9+PGQyGfLy8hAaGgqgq4MpPz+/xza8jozKR31QW1urt37Y0dGBBw8e2GlUxNHs3bsX48ePx9ChQxEWFobff//d6PnONk9VW1urN5D7+PgYraXHxsbi6NGj+O2337Bz504UFxdj7ty53AZR9lZdXY2ysjJUV1ejs7MTZWVlKCsrQ3NzM3fO5MmTkZOTA6CrbJSUlIStW7ciJycHf/75J5YvXw6hUIhly5bZ62WYjyF6AWBycnKMnhMQEMBs3bqVd+z8+fMMAKampsaKoyPO4ttvv2UEAgGTkZHBVFRUMOvXr2c8PT2ZqqoqveffvHmTEQqFzPr165mKigomIyODEQgEzA8//GDjkTPMpk2bGABGb8XFxUxaWhoTGBjY4/GTJk1itm3bZvLz3bt3jxEIBEx2dnZ/vgyLJSQk6H3N586d484BwBw6dIj7+5MnT5hNmzYxMpmMcXd3Z6Kjo5ny8nLbD74PKCkYYEpSiIqKYtatW8c7dvz4ccbNzY3RarVWHB1xFjNmzGASExN5xyZPnsxs3LhR7/nvvvsuM3nyZN6x1atXM5GRkVYboyH3799nVCqV0Vtraytz8OBBRiQS9Xi8SCRiMjMzzXrOSZMmMZ999lk/vQJiCZpT6AOFQoGTJ0/yjv3yyy8IDw+n+QQCrVaLK1euYOPGjbzjMTExBvvWHWmeytT6u0KhQGNjIy5fvowZM2YAAC5duoTGxkbMnDnT5Oerq6vDnTt3eJO0xPZoTkFHc3MzVzcEulpO2Zoi0LWX8htvvMGdn5iYiKqqKiQnJ0OlUiEzMxMHDx5ESkqKPYbv9MypvSuVSr3thH/99ZcNR2zcgwcP0NnZaVbfujPOUwUHB2P+/PlYtWoVioqKUFRUhFWrVmHBggW8SWbd+ntzczNSUlJQWFiI27dvQ6lUYuHChZBKpViyZIm9XgoBJQWekpIShIaGcp0DycnJCA0NxUcffQQAqKmp4RIE0NVtcPr0aSiVSjz99NP45JNP8MUXX1A7qgWOHTuGpKQkfPDBBygtLUVUVBRiY2N577c+lZWVvD73gIAAG43YdOb2res7X99xR3L06FFMmzYNMTExiImJwfTp03HkyBHeOZWVlWhsbAQAuLq6ory8HIsWLUJgYCASEhIQGBiIwsJCDB8+3B4vgfwfKh/pmD17NvcLqM/hw4d7HJs1axauXr1qxVENDunp6XjzzTfx1ltvAQB27dqFM2fO4Ouvv8a2bdsMPo5tZ3REUqkUrq6uPT4VGOtbl8lkes93c3ODRCKx2lj7ytvbG1lZWUbP0f3d8vDwwJkzZ6w9LGIB+qRA7I6tvXevpRurvbNCQ0Ph5+eHefPm4dy5c9YcptmGDBmCsLAw5OXl8Y7n5eUZrLUrFIoe59M8FbElSgpOZiCuz2RJ7d3Pzw/79+9HdnY2jh8/jqCgIMybNw8FBQW2GLLJkpOTceDAAWRmZkKlUmHDhg2orq5GYmIiAJqnIo6HykdOhl2facWKFSbNXbDrM61atQpZWVm4cOEC3n77bYwcOdLh5j7Mqb0HBQXxJjEVCgXu3LmDHTt2IDo62qrjNMerr76Kuro6fPzxx6ipqcHUqVNx+vRp+Pv7AzA8T7VhwwZ89dVXkMvlNE9FbIr2U3BiLi4uyMnJweLFiw2ek5qaihMnTkClUnHHEhMTce3aNRQWFtpglL3TarUQCoX4/vvveZ0n69evR1lZGfLz8036OWlpacjKyuK9VkKIeah8NMAZ6nsvKSlBe3u7nUbFZ0ntXZ/S0lLqcSekj6h8NMD11vfuKEE0OTkZ8fHxCA8Ph0KhwP79+3vU3tVqNb755hsAXd1J48aNQ0hICLRaLbKyspCdnU3LlhPSR5QUBgFn6Hs3t/au1WqRkpICtVoNDw8PhISE4NSpU4iLi7PXSyBkQKA5BSdmypxCdHQ0QkNDsXv3bu5YTk4OXnnlFbS0tFCbIyGEh+YUBjjqeyeEmIOSgpOh9ZkIIdZE5SMno1QqMWfOnB7HExIScPjwYSxfvpxbYIyVn5+PDRs24Pr165DL5UhNTeUmcAkhRBclBUIIIRwqHxFCCOFQUiCEEMKhpEAIIYRDSYEQQgiHkgIhhBAOJQVCCCEcSgqEEEI4lBQIIYRwKCkQQgjhUFIghBDCoaRACCGEQ0mBEEIIh5ICIYQQDiUFQgghHEoKhBBCOJQUCCGEcCgpEEII4VBSIIQQwqGkQAghhENJgRBCCIeSAiGEEA4lBUIIIRxKCoQQQjiUFAghhHAoKRBCCOFQUiCEEMKhpEAIIYRDSYEQQgjnfx19R2OhJCwYAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# First version of a 3D plotting routine\n", "# Plot a spherical view of a single layer at height/depth 'r' \n", "# (onion-layer style)\n", "\n", "# select r by index\n", "ir = 10 # halfway\n", "\n", "data = c.value[ir, :, :] \n", "\n", "# Generate theta and phi values\n", "theta = np.linspace(0, np.pi, data.shape[0])\n", "phi = np.linspace(0, 2 * np.pi, data.shape[1])\n", "theta, phi = np.meshgrid(theta, phi)\n", "\n", "# Convert spherical coordinates to Cartesian coordinates\n", "x = np.sin(theta) * np.cos(phi)\n", "y = np.sin(theta) * np.sin(phi)\n", "z = np.cos(theta)\n", "\n", "# Create a 3D plot\n", "fig = plt.figure()\n", "fig.suptitle(f'r = {mesh.cellcenters.r[ir]}')\n", "ax = fig.add_subplot(111, projection=\"3d\")\n", "\n", "# Plot the surface\n", "ax.plot_surface(\n", " x, y, z, facecolors=plt.cm.viridis(data), rstride=1, cstride=1, antialiased=False\n", ")\n", "\n", "# rotate the plot\n", "ax.view_init(elev=20, azim=80)\n", "\n", "\n", "# Show the plot (perhaps interactively when not in Jupyter Lab?)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "7.606713348051508e-13 91.582096081292\n" ] } ], "source": [ "print(c.value.min(), c.value.max())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Advective transport 3D cylindrical example\n", "\n", "Here, we run a similar simulation of a cylindrical version of Earth, to test 3D cylindrical coordinates." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "r_earth = 6.371e6 # Earth radius [m]\n", "v_wind_max = 10.0 # wind speed [m/s]\n", "L = r_earth\n", "# ignoring diffusion\n", "Nr = 20 # number of cells in the r direction\n", "Ntheta = 16 # number of cells in the theta direction\n", "Nz = 16 # number of cells in the phi direction\n", "Lr = 20e3 # [m] length of the domain in the r direction\n", "r_face = np.linspace(0, Lr, Nr + 1)\n", "theta_face = np.linspace(0, 2 * np.pi, Ntheta + 1)\n", "L_face = np.linspace(0, L, Nz + 1)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "mesh = pf.CylindricalGrid3D(r_face, theta_face, L_face)\n", "c = pf.CellVariable(mesh, 0.0)\n", "# assign a concentration of 1.0 to 20 random locations\n", "c.value[0, np.random.randint(0, Ntheta, 20), np.random.randint(0, Nz, 20)] = 1000.0" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "# BC\n", "# top and bottom boundaries are periodic\n", "c.BCs.top.periodic = True\n", "c.BCs.bottom.periodic = True" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "# create a velocity field of random values between 0 and v_wind_max\n", "v = pf.FaceVariable(mesh, [0, 0.001, 0.0])\n", "# v.thetavalue = np.random.rand(Nr, Ntheta+1, Nz) * v_wind_max\n", "# v.thetavalue[:, 0, :] = 0.0 # no wind at the poles\n", "# v.thetavalue[:, -1, :] = 0.0 # no wind at the poles\n", "convectionterm = pf.convectionUpwindTerm(v)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "# Time loop\n", "t = 0\n", "dt = 100000.0\n", "t_simulation = 1 * dt\n", "while t < t_simulation:\n", " eqn = [pf.transientTerm(c, dt, 1.0),\n", " convectionterm]\n", " c = pf.solvePDE(c, eqn)\n", " t += dt" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[6.69906320e-02 1.53121216e+01 0.00000000e+00 1.53121216e+01\n", " 7.97036372e+02 0.00000000e+00 0.00000000e+00 6.69906320e-02\n", " 2.57395707e-03 7.97036764e+02 1.98526430e-01 2.93084453e-04\n", " 4.55759284e+01 9.01926587e-04 5.16951986e+00 0.00000000e+00]\n", " [2.26052761e-02 5.16691253e+00 0.00000000e+00 5.16691253e+00\n", " 2.68951445e+02 0.00000000e+00 0.00000000e+00 2.26052761e-02\n", " 8.68554431e-04 2.68951577e+02 6.69906320e-02 9.88982309e-05\n", " 1.53791122e+01 6.62560942e+02 6.64305037e+02 0.00000000e+00]\n", " [7.62790995e-03 1.74351967e+00 0.00000000e+00 1.74351967e+00\n", " 9.07548039e+01 0.00000000e+00 0.00000000e+00 7.62790995e-03\n", " 2.93084453e-04 7.53315487e+02 2.26052761e-02 3.33721559e-05\n", " 5.18951781e+00 2.23574142e+02 2.24162668e+02 0.00000000e+00]\n", " [2.57395707e-03 5.88332165e-01 0.00000000e+00 5.88332165e-01\n", " 3.06242431e+01 0.00000000e+00 0.00000000e+00 2.57395707e-03\n", " 9.88982309e-05 9.16758935e+02 7.62790995e-03 6.62560649e+02\n", " 1.75114758e+00 7.54427157e+01 7.56413077e+01 0.00000000e+00]\n", " [8.68554431e-04 1.98526430e-01 0.00000000e+00 1.98526430e-01\n", " 1.03338251e+01 0.00000000e+00 0.00000000e+00 8.68554431e-04\n", " 3.33721559e-05 3.09350550e+02 2.57395707e-03 2.23574043e+02\n", " 5.90906122e-01 6.88017980e+02 2.55243546e+01 0.00000000e+00]\n", " [2.93084453e-04 6.69906320e-02 0.00000000e+00 6.69906320e-02\n", " 3.48703934e+00 0.00000000e+00 0.00000000e+00 2.93084453e-04\n", " 6.62560649e+02 1.04387052e+02 8.68554431e-04 7.54426824e+01\n", " 1.99394985e-01 2.32164348e+02 6.71173560e+02 0.00000000e+00]\n", " [9.88982309e-05 2.26052761e-02 0.00000000e+00 2.26052761e-02\n", " 1.17666433e+00 0.00000000e+00 0.00000000e+00 9.88982309e-05\n", " 2.23574043e+02 3.52243003e+01 2.93084453e-04 2.54573306e+01\n", " 6.72837165e-02 7.83413895e+01 2.26480378e+02 0.00000000e+00]\n", " [3.33721559e-05 7.62790995e-03 0.00000000e+00 7.62790995e-03\n", " 3.97052861e-01 0.00000000e+00 0.00000000e+00 3.33721559e-05\n", " 7.54426824e+01 1.18860654e+01 9.88982309e-05 8.59030540e+00\n", " 2.27041744e-02 2.64354685e+01 7.64233942e+01 0.00000000e+00]\n", " [6.62560649e+02 2.57395707e-03 0.00000000e+00 2.57395707e-03\n", " 1.33981264e-01 0.00000000e+00 0.00000000e+00 6.62560649e+02\n", " 2.54573306e+01 4.01082634e+00 3.33721559e-05 2.89870717e+00\n", " 7.66128211e-03 8.92036763e+00 2.57882614e+01 0.00000000e+00]\n", " [2.23574043e+02 8.68554431e-04 0.00000000e+00 8.68554431e-04\n", " 4.52105522e-02 0.00000000e+00 0.00000000e+00 2.23574043e+02\n", " 8.59030540e+00 1.35341068e+00 6.62560649e+02 9.78137899e-01\n", " 6.62563223e+02 3.01008316e+00 8.70197447e+00 0.00000000e+00]\n", " [7.54426824e+01 2.93084453e-04 0.00000000e+00 2.93084453e-04\n", " 1.52558199e-02 0.00000000e+00 0.00000000e+00 7.54426824e+01\n", " 2.89870717e+00 4.56694036e-01 2.23574043e+02 3.30062229e-01\n", " 2.23574911e+02 1.01572054e+00 2.93638871e+00 0.00000000e+00]\n", " [2.54573306e+01 9.88982309e-05 0.00000000e+00 9.88982309e-05\n", " 5.14791414e-03 0.00000000e+00 0.00000000e+00 2.54573306e+01\n", " 9.78137899e-01 1.54106544e-01 7.54426824e+01 1.11375988e-01\n", " 7.54429754e+01 3.42744092e-01 9.90853134e-01 0.00000000e+00]\n", " [8.59030540e+00 3.33721559e-05 0.00000000e+00 3.33721559e-05\n", " 1.73710886e-03 0.00000000e+00 0.00000000e+00 8.59030540e+00\n", " 3.30062229e-01 5.20016140e-02 2.54573306e+01 3.75826423e-02\n", " 2.54574295e+01 1.15655348e-01 6.62894991e+02 0.00000000e+00]\n", " [2.89870717e+00 6.62560649e+02 0.00000000e+00 6.62560649e+02\n", " 5.86168906e-04 0.00000000e+00 0.00000000e+00 2.89870717e+00\n", " 1.11375988e-01 1.75473914e-02 8.59030540e+00 1.26818628e-02\n", " 8.59033877e+00 3.90266667e-02 2.23686863e+02 0.00000000e+00]\n", " [9.78137899e-01 2.23574043e+02 0.00000000e+00 2.23574043e+02\n", " 1.97796462e-04 0.00000000e+00 0.00000000e+00 9.78137899e-01\n", " 3.75826423e-02 5.92118058e-03 2.89870717e+00 4.27935971e-03\n", " 6.65459356e+02 1.31691335e-02 7.54807523e+01 0.00000000e+00]\n", " [3.30062229e-01 7.54426824e+01 0.00000000e+00 7.54426824e+01\n", " 6.67443119e-05 0.00000000e+00 0.00000000e+00 3.30062229e-01\n", " 1.26818628e-02 1.99803940e-03 9.78137899e-01 1.44402441e-03\n", " 2.24552181e+02 4.44378401e-03 2.54701769e+01 0.00000000e+00]]\n" ] } ], "source": [ "print(c.value[0, :, :])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Hollow sphere (with visualization)\n", "\n", "This example still needs further explanations (and perhaps some tweaking)." ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "# hollow sphere\n", "r_in = 0.5\n", "r_out = 1.0\n", "Nr = 20 # number of cells in the r direction\n", "Ntheta = 16 # number of cells in the theta direction\n", "Nphi = 16 # number of cells in the phi direction\n", "r_face = np.linspace(r_in, r_out, Nr + 1)\n", "theta_face = np.linspace(0.0, np.pi, Ntheta + 1)\n", "phi_face = np.linspace(0.0, 2 * np.pi, Nphi + 1)" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "mesh = pf.SphericalGrid3D(r_face, theta_face, phi_face)\n", "c = pf.CellVariable(mesh, 0.0)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "# assign a concentration of 1 to left boundary\n", "c.BCs.left.a[0:5, 0:5] = 0.0\n", "c.BCs.left.b[0:5, 0:5] = 1.0\n", "c.BCs.left.c[0:5, 0:5] = 1.0\n", "# right boundary is a fixed concentration\n", "c.BCs.right.a[:] = 0.0\n", "c.BCs.right.b[:] = 1.0\n", "c.BCs.right.c[:] = 0.0\n", "\n", "# top and back boundaries are periodic\n", "c.BCs.top.periodic = True\n", "c.BCs.front.periodic = True" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "v_wind_max = 0.01 # wind speed [m/s]\n", "v = pf.FaceVariable(mesh, [0.05, 0.05, 0.05])\n", "# v.phiavalue = np.random.rand(Nr, Ntheta, Nphi + 1) * v_wind_max\n", "# v.thetavalue = np.random.rand(Nr, Ntheta + 1, Nphi) * v_wind_max\n", "convectionterm = pf.convectionUpwindTerm(v)" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100% completed\n" ] } ], "source": [ "# Time loop\n", "t = 0\n", "dt = 1.0\n", "n_step = 50\n", "\n", "for i in tqdm(range(n_step), bar_format=\"{desc}: {percentage:3.0f}% completed\"):\n", " eqn = [pf.transientTerm(c, dt, 1.0),\n", " convectionterm]\n", " c = pf.solvePDE(c, eqn)" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# visualize the result\n", "r = mesh.cellcenters.r\n", "theta = mesh.cellcenters.theta\n", "R, Theta = np.meshgrid(r, theta)\n", "X = R * np.sin(Theta)\n", "Y = R * np.cos(Theta)\n", "Z = c.value[:, :, 1].transpose() # TO DO: make sure that you extract the values for a certain 'phi'...\n", "fig = plt.figure()\n", "ax = fig.add_subplot(111, polar=True)\n", "# set the color range between 0 and 1\n", "cax = ax.pcolormesh(Theta, R, Z, cmap=\"viridis\")\n", "fig.colorbar(cax, label=\"Concentration [-]\");" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.0002261516742704339 0.8701040260521978\n" ] } ], "source": [ "print(c.value.min(), c.value.max())" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Assuming c.value[5, :, :] is the data with size 16x16\n", "data = c.value[1, :, :] # Replace this with your actual data\n", "\n", "# Generate theta and phi values\n", "theta = np.linspace(0, np.pi, data.shape[0])\n", "phi = np.linspace(0, 2 * np.pi, data.shape[1])\n", "theta, phi = np.meshgrid(theta, phi)\n", "\n", "# Convert spherical coordinates to Cartesian coordinates\n", "x = np.sin(theta) * np.cos(phi)\n", "y = np.sin(theta) * np.sin(phi)\n", "z = np.cos(theta)\n", "\n", "# Create a 3D plot\n", "fig = plt.figure()\n", "ax = fig.add_subplot(111, projection=\"3d\")\n", "\n", "# Plot the surface\n", "ax.plot_surface(\n", " x, y, z, facecolors=plt.cm.viridis(data), rstride=1, cstride=1, antialiased=False\n", ")\n", "\n", "# rotate the plot\n", "ax.view_init(elev=50, azim=80)\n", "\n", "\n", "# Show the plot\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.9" } }, "nbformat": 4, "nbformat_minor": 4 }