{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Notebook 01: First simulation\n", "\n", "This notebook covers the basics of setting up a finite difference frequency domain (FDFD) simulation using the `ceviche` package.\n", "\n", "First, we will import the required python modules:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "\n", "import matplotlib as mpl\n", "mpl.rcParams['figure.dpi']=100\n", "import matplotlib.pylab as plt\n", "\n", "import ceviche" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Line source above a dielectric \n", "\n", "The first system we will simulate is a line source sitting above a dielectric wedge." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Source angular frequency in Hz\n", "omega = 2*np.pi*200e12\n", "\n", "# Resolution in nm\n", "dl = 25e-9\n", "\n", "# Simulation domain size in number of pixels\n", "Nx = 100\n", "Ny = 100\n", "\n", "# Size of the PML boundaries in pixels \n", "Npml = 20" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We define our structure using a 2D array, $\\epsilon_r[x,y]$ that we \"write\" features into. This is a very low-level and rudimentary interface for defining devices, but it also provides the most flexibility. You can also see how more tailored APIs and project-specific functions could be developed on top of this interface." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# Initialize relative permittivity of the domain\n", "epsr = np.ones((Nx, Ny)) \n", "# Set the permittivity to 12 inside a box\n", "epsr[0:50,0:50] = 12" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, we visualize the geometry:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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pVnosR5zUJgPStswgLGlGyvmEJamVAtZqnEy4LwZhSTNiJixJDRXP8kzrRizFICxpNnoerDEKg7CkGSnKmrAktTO1+YQNwpJmpKiR+gn3xSAsaTYKqDITlqRG2kxleToMwpLmo/DFnCS142ANSWrGmrAkNWXvCElqykxYkhoyCEtSI2UXNUlqy0xYklopJ/CRpKbsJyxJzZTlCElqxcEaktSY5QhJasZyhCQ1ZRCWpGYKLEdIUiNlJixJzbjkvSQ15Ys5SWrMYcuS1Mj0MuEdLS6a5Nokv5/ky0lubtEGSXNUUKv9bCMZPQgnOQv4j8CPAK8C3pnkVWO3Q9I8VU//24o+EsoWmfDrgC9X1aNV9T3gE8D1DdohaZbWetpOrq+EskUQvhT46rr9I90xSTp9Vf1sm+sloWwRhHOCY8+54yT7khxKcujYk0+P0CxJ09dXMWJLQbiXhLJF74gjwMvW7V8GfG3jh6pqBVgBSPLk2Tv/9reBY6O0cDi7mP49wDzuYw73ANO/j7/c8/l+C1Z39XSuc5IcWre/0sWl47aUUG6mRRD+PHBFksuBx4EbgL9/si9U1UuSHKqq3WM0cChzuAeYx33M4R5gPvfRl6q6dsTLbSmh3Mzo5YiqWgXeDfwWcBi4o6oeGrsdknSa/jShTPICFgnl3cuepMlgjar6FPCpFteWpD5U1WqS4wnlWcDHTiWhnNKIuZXNP3LGm8M9wDzuYw73APO5j0nqI6FMba0rhiRpAE2GLUuSFiYRhKc410SSlyW5L8nhJA8luak7flGSe5I80v15Yeu2bibJWUkeSPKb3f7lSQ529/DJ7qXEGS3JBUkOJPlS90xeP7VnkeR93T9LDya5Pck5U3wW+vPO+CA84bkmVoGfrqofBK4GfrJr983AvVV1BXBvt3+mu4lFT5bjfhH4UHcPfwTc2KRVy/kw8Omq+gHgNSzuZzLPIsmlwHuB3VX1ahYvgm5gms9C65zxQZiJzjVRVUer6gvdz3/C4l/6S1m0/dbuY7cCb2vTwq1Jchnwo8BHu/0A1wAHuo9M4R7OB94E7Aeoqu9V1VNM7FmweJF+bpKdwHnAUSb2LPRcUwjCk59rIskrgKuAg8DFVXUUFoEaeGm7lm3JLwM/w5/NaPL9wFNdf2+YxvN4JfAk8PGurPLRJC9kQs+iqh4HPgg8xiL4Pg3cz/SehTaYQhDuZWhgK0leBPwG8FNV9cet27OMJNcBT1TV/esPn+CjZ/rz2Am8FvhIVV0FfJszuPRwIl29+nrgcuAvAS9kUaLb6Ex/FtpgCkG4l6GBLSQ5m0UAvq2q7uwOfyPJJd3vLwGeaNW+LXgj8GNJ/g+LMtA1LDLjC7r/SwzTeB5HgCNVdbDbP8AiKE/pWbwF+EpVPVlVzwB3Am9ges9CG0whCPcyNHBsXe10P3C4qn5p3a/uBvZ2P+8F7hq7bVtVVR+oqsuq6hUs/t4/W1U/DtwHvL372Bl9DwBV9XXgq0mu7A7tAR5mQs+CRRni6iTndf9sHb+HST0LPdckBmskeSuLDOz40MB/07hJm0ryN4H/Dvwef1ZP/VkWdeE7gJez+BfrHVX1rSaNXEKSNwP/rKquS/JKFpnxRcADwLuq6v+1bN9mkvw1Fi8XXwA8CvwEiyRkMs8iyb8G/h6LnjcPAP+YRQ14Us9Cf94kgrAkzdUUyhGSNFsGYUlqyCAsSQ0ZhCWpIYOwJDVkEJakhgzCktSQQVhnhCR/I8nvdnPkvrCbN/fVrdslDc3BGjpjJPl54BzgXBZzPfzbxk2SBmcQ1hmjmxvk88B3gTdU1bONmyQNznKEziQXAS8CXswiI5Zmz0xYZ4wkd7OYjOZy4JKqenfjJkmD27n5R6ThJfmHwGpV/eduXcH/meSaqvps67ZJQzITlqSGrAlLUkMGYUlqyCAsSQ0ZhCWpIYOwJDVkEJakhgzCktSQQViSGvr/Iwd8ufLThrQAAAAASUVORK5CYII=\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ceviche.viz.abs(epsr, cbar=True);" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# Initialize the source position and amplitude\n", "src_x = np.arange(40,60)\n", "src_y = 70 * np.ones(src_x.shape, dtype=int)\n", "source = np.zeros((Nx, Ny), dtype=np.complex) \n", "source[src_x, src_y] = 1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, we visualize the source:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ceviche.viz.real(source, cbar=True);" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "# Create the simulation object for 'Ez' (TE) polarization\n", "simulation = ceviche.fdfd_ez(omega, dl, epsr, [Npml, Npml])\n", "# Run the simulation with the given source\n", "Hx, Hy, Ez = simulation.solve(source)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Visualize the real value of the Ez field component\n", "ax = ceviche.viz.real(Ez, outline=epsr, cbar=False)\n", "# Plot the source position\n", "ax.plot(src_x,src_y,'k')\n", "\n", "# Absolute value of the Ez field\n", "ax = ceviche.viz.abs(Ez, outline=epsr, cbar=False)\n", "# Source\n", "ax.plot(src_x,src_y,'k')\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Straight waveguide segment\n", "\n", "In this example, we'll simulate a straight segment of waveguide using a modal source. A modal source is a special type of source which has a distribution matched to the eigenmode of the waveguide structure. This allows us to selectively excite a desired waveguide mode.\n", "\n", "First, we'll setup our simulation geometry, as in the previous example:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "# Define simulation parameters (see above)\n", "omega = 2*np.pi*200e12\n", "dl = 25e-9\n", "\n", "Nx = 200\n", "Ny = 80\n", "Npml = 20\n", "\n", "# Define permittivity for a straight waveguide\n", "epsr = np.ones((Nx, Ny)) \n", "epsr[:,35:45] = 12" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To create our modal source, we need to specify a slice of the 2D domain we defined above. The device structure (`epsr`) residing in this slice will be used to calculate the eigenmodes.\n", "\n", "The `ceviche.modes.insert_mode()` function is a helpful utility for setting up the eigenmode source. We simply need to provide it with coordinates of the slice, the permittivity distribution, and a few other details. The function returns a `source` array which we can then use in the FDFD simulation." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "# Source position and amplitude\n", "src_y = np.arange(20,60)\n", "src_x = 30 * np.ones(src_y.shape, dtype=int)\n", "\n", "source = ceviche.modes.insert_mode(omega, dl, src_x, src_y, epsr)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Run the simulation for Ez polarization\n", "simulation = ceviche.fdfd_ez(omega, dl, epsr, [Npml, Npml])\n", "Hx, Hy, Ez = simulation.solve(source)\n", "\n", "# Visualize the electric field\n", "ax = ceviche.viz.real(Ez, outline=epsr, cmap='RdBu_r')\n", "ax.plot(src_x,src_y,'k')\n", "\n", "# Compute the Poynting vector that shows the direction and magnitude of the transferred power\n", "Sx = -0.5 * np.real(Ez * np.conj(Hy))\n", "Sy = 0.5 * np.real(Ez * np.conj(Hx))\n", "\n", "# Show the Poynting vector in the x-direction: note the guided power propagation\n", "ax = ceviche.viz.real(Sx, outline=epsr, cmap='RdBu_r')\n", "ax.plot(src_x,src_y,'k')\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Ring side-coupled to a waveguide\n", "Next, we simulate a ring resonator side-coupled to a waveguide" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "# Simulation parameters\n", "omega = 2*np.pi*200e12\n", "dl = 25e-9\n", "\n", "Nx = 200\n", "Ny = 180\n", "Npml = 20\n", "\n", "# Permittivity for the waveguide\n", "epsr = np.ones((Nx, Ny)) \n", "epsr[:,35:45] = 12" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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0Rnyp19G+ZOuLbOMkb11M2GGh8ZASM0HZMamEeCLj6PoqlSrjqGSWaUY01/GGhDArYZqr3dVsl81yQYrncwydxsG80FEfyPDkPlEE6nFk8oXgOH/sB4eHufvh37Hv8FHAEFXe1TgIV1xzPXOXnEjOLTaeEkVP2pyzJ6XoTyv6fB1djRxCjZp2GDmCN/gVOmsIVGsXsVJIVw8vv/0Br21/i9d27DTb7C60neb0s89j06ZNFLTpQznCFMBSRfoSiZkEgusv97ccqpBkvajH5ake0uwYn8wpzuqVEGaCjsOHn3zGO+/vZNeXhxnOFrj44q+RyWQYczzGHM28xUtZuvxEhvMuKSdCmErRmzYU1ZNSDGQU/QFhWnmU7ZodVQHPy6FtQwHacxE7hXT1ct3F57PsxBM5GmjrmV6OjBXYvuNdjh07xqy58znvonXMmVu9YmmCmYmWEaaI/Bz4FnBAa32Wv+4/AjcCeeBj4M+01kf9bX8N/ATjg/xXWusnW9W3cX1tZOdpLnlWQ1WptIyzuRcZuWiNGiWqdExFYW6rD9dBXKMOi5sHz0G7Lrv3H2D/4SM88cdXsS2L2XPncdMtN7N89ZkADDtwLOcxUvBwPMg5HqMF066rocvSoVBrK6HganQq2oeg48blSXt+nzwX7RhpV4Bz1qyEvrlmU88cvJ45nLD8LbZseYVPd73Fjvc+4MrrNjJr1mzmLVgYSmjGpakosqmYWCYwTrKslCe0al7QJqMpjvXtDpOcIrRSwvwF8N+Bf4isexr4a621IyJ/B/w18G9E5AzgduBMYAnwexFZrbV2mSA6wketmepDhXZa6lJSJSu5R3E22PyW8IXzNFii0L7dTyIhiOJH+ojv0kM+izM2wgNPPst7n3yBiGLFsiXceeM1ZGbNw+uehRuq7Ka9QB0uuFEXI/M35ZhO9KSMfTOwcVrKLo6hMuYCUb5vJRgJM5U2fbTTaMv8r+0MrtisOfs81px9Hru/PMi9d/+ahx64H4CvXX4F6y6+xPROAZFxCBD+jnsHlAvNLFdsLXiOGiDQiYbBViPNjlHLpxCtrBr5goicFFv3VOTnK8At/v+bgHu01jngUxH5CFiHKdPb2Hkn1Nt6Gq4/9K/s7w5wOofy41NXurd4O7pEZkTQxbDEYNIjSlAlEp6RMA8ePsIDjz/B0SNHGBsd4+vnnMaqE5eydPkyLK9g/CRdB/HtnZaVQklgJwQVebs9DV5kEsjThkRDW6Oy0JYRN61MNzrTXSSsQCX33YpId6FTGXNcusc3BZh9uwbm8K07/wkHvjzAju1bef7ZZ3lj2zbmnbCAG27cxKy+7sh4SqnLlVe8loqp5crM89QqhxG/fZMJhT1eJoImOkRTacP8c2Cz//9SDIEG2O2vGwcR+SnwU4Dly5e3sn8JWoT3PvyEL/fuYvuODyiMjbJq+RJOWTiPs0890Uh+Vpn8kx2Erq5uFi9bwcIly3hn6xaGjhzi04928sh9d3PqqSs5fc0aFi1ePNXdTNACTAlhisi/Axzg18GqMruV/QhorX8G/AzgggsuaI1AOVW2mCZJoc1IthGo4yUT3JF2vbi6HpE4lWDSofnqpVGHjQq+ZevrPP3076GQY86sfr7/zSuY12WDUzCO5EqBryqTzyHpQjiLbtmCJRKxGUIq4rOjYqKRjqjkWDbYvprtz4gHEHyVvG+W2Z7qwUv3AuCITc51yTqmodGCy3DOpeBLp6eev44uW7Fk5Ye89uyTvPLSi7y17TVuvuVW1qw8xTzYYYSREwnHjI+fW6wfBKVuQ4HzfJu0lGYnC2kn4o9+zUilBtF2whSRH2MmgzboopFsNxAVF5cBe9vdt0mjVURb5kWZKCeW89mL2h4rQYeqbtGdJrp/abSLxpMi2aaVjW2neWXLq/z+uRc5Y/WpfPeKdViWhTd4GG9kMJyAMQRj/tee6/ttmt+WGDthSgV2SiskRCUelghdfoaj4jX5/Y3aJVM9SLeH+AQKQCqNThkS9TK96LT5P+t4ZB1N1lfJh3MuowU3tJma8EthyUmn8qN/dhqWk+W399/Nw/ffx52338aaU05EHD8E0y2S/zhVXFSxHEaA4N8Giq5Vuodx96eJotkENN3QVsIUkeuBfwN8Q2s9Gtn0KHCXiPxnzKTPKuDVutr0/06EQOq+6Y04GM9geFqXJJ2I+iLGX1QlYHmQy+V4/pmnGD76FXv27OGM00/n29dchpUfNDvaqVLiUlZRwoSSiRLLt18Gzuljg0c5dsT4VgYJOUZ8why0hS5b6LGLfpmSHwFA8mPGkT3i/6mVzYLFvfT29qDTvThiXo2c65J3NTmfMAueVxKSaUUlXBH6+/q4/fs/YPNdv+Kh++9l8fy5nLJ8MZdfcjFot+ScpjMqPD+iQgf5euoIRYc8Pv7V3od6yXMm2jMnq3y10q3obuAKYL6I7Ab+BjMrngGe9icGXtFa/29a6x0ici/wLkZV/4vJzJAn6AzkcjkevG8z+/fs5uQTl7N+/XquvmQtlh+iOBnsfP89Hn/0YQqOeUwCwggmhGxl4srTPqGllIQz8+IW/HyYxUdMi0V3Xx8/uu0WTljWP6m+9fb2ctudP+CV537P4f17eOHFlxkZGWXjhsuPW8lspkCquY50Oi644AL90osvAk2WMCvNdNe7f9mT1VCratXcjp+ySlP12jBrzZhrPT5Zb6ACa1105XE987+ni8flcjkef/A+9u/bw4033cx5Zxtfyh5Lo0aPoEaPmEsbG8QbHUTnsuF5JWNmq1XPALpnNl73LA4eOsxDTz/P0eFRco7H8PAwCxYv5aKvf8P0G43CSHlgCDNjm/BIgIytsDyfMJ1ciT0RIO9oHn/6DwwND9M/Zz4FT7NgwUKuuP5GHCvFkTGz73DeCdVzgJSlmJUxcsesLpuBtMWsjLlfXToHY4P84Znf89Jr27nonDPYeOWlxosgSBMXSNOWbaTMQMJUVjEJiVKhBGouoHqW90bfhWokPqFs8a3WuCZaVbTK9p6enm1a67W1Tp1E+sTR6M1u5cMxAd/LRiZ8JmrPNNs1QVSiq7UfX21+j2WzPP7gvXy5by/XfPMmlp26JnTLsUTRlenF88lKaQ+FsTGG/bJT5PJ5tr71Pllt4VhdvPHWO0imm1NOWUXB03T39HDB+kuwfN/JwDwQuDSllGBHJMy0pUgHw+nmjV0xake0bH649CS2vPoqOcclW3B5790d7P/1L1l2yiqyBY++gVksXXUmKUuF8eEZ26InZUivy0/4kfE3ysgIKj/KNevPRQpZXt76OjhZbrjiEkRZaCuN6GhKuQr3u8L6ko9b5VtVE8eLXbIZomFCmAmainwux28iZHnqmtMbbiOXz3PXY0/zxcEjYGfAzjBr1gDfu/NOBuYvJOuLuXlXh7bLZmDu3LlsvP56HBRjjsfqNWt45NHHeH3Ly+Rdjdaak/fs49zLroIyqdsqQUS4+tL1iOfy4utvAXDDlZc2rd8J2oeEMGthhk/oRF/7KPUo8aN3AveimDiqMWowGOnO8TRDI1l++9B97N27h8uu/SaLTlrNcM6lJ20RTPkKYGW6SGXM7yCjeuA0nstmueuxp9j91SDfvelbnH72OehUt9k33UMewfLTs6ci+qIVIzBLFdVzcx6N65d+tKz0+NBDUbh+tuKCZ8wLK1et4S/+xWqyrke24PHKH5/j1VdexrbgkiuvRUToshVd/sRSd0rRbSsk56eRyw0juUH0qPl95Tmn4o0N8dJr2yCf44ZrrwT/2lBWMcO86WXsRlWuI9SI43qjkTwtdzGa4mQajSIhzKlGpYelRXbLql2JnSsgTTBhkFqkJGFvAFfD6FiOh+/fzMH9e1l/9Q3MP2kVQ3mjdhc8D7r8KBvRWMpjwHfbQXuIKHZ9/hnPv/QqBw8dYjSb5ds3fovTzzwTrHQkobBCUZzY0ZFXPOhXcA1KZJwQGPTc1aCUXeJh4UV8NuMJgS0RMrbi8iuuBGD7a69wZN9u5sybz4ZrrqW3ZzYA3bYijRPOxqv8CHp0GG/EeATofJarzjoVnR3j5e1vgVLccO0GY0bQ6VK1PJrtqUZZjEZLJweYDAlOOkwynv5vmpBmQpiTQYdIn42SZb0vStStxEMQdGi7i7ow5HM5Hn1gM/v37eXy677FwpNXUXA9CpGdUnnzw1Ym3ntMmU73ZPr4/ItdbH7kCTKZDAsWL2XtBeex5tSVoGw/pLFImFGmEIqasRV7fUVi6eeCC4KScrzRaw1ItzQpcVSSFa688kpm9fXwxaefsH/35zx+39388Ic/oH9ggIwlqOwIKu/n3cxn0dkRdNYQqHYKiLK46pxVALzyxjuQSnPDFV832+OlMMJJH7tEqiznxlVp8rZc1vfoNZerOz8ltswOCyGuhIQwE0wKuVyOxx64lwM+WZ68+rQwg1AteJ7H55/vZvN9DzDQ388Pb7uV/r6e2gdOIUSEC9ddzNr1X2Pvnt08/sBm7rnrV9x2x/fpnju77jY2rD0b1d3LS2+9C8DGa69rZbcTNAnHLWG27Ss6kS9mA+p4M6TLSmNhSXwGVcKiZJYGJ2vIcv++vVx9w03MP2lV2XYKng5DCV3PIu96PPX0H9j22hZsgQXz5/KD22+lr78f7Xml0oYqtd1BsS6aDtKpYUIx4+qmUGrHDGDcpUrtm+Zv+bGxVHEEgr+WglNOXM4dd9zBQ/dt5n/8/f9LV0px41WXcc5JC017fhkMHWR299ziNYiw4eILoLuXl7a9hU51c/31G0OnfW0VXYxcXSpVNuIKGOxbTdJsO6ppZh2unh+3hFkTtW5qM1Dng1HLX7JexMly3CtUxv80KDthAUoplC4e9czvHufLvXv45k2bWH7qGoZ9tduLdS6lJCQuT2te+MMz7Ni+lTWnn8HypYs5/9xz6OvvM9cZLV8RZjsq/5iKQJB509O6+oSG9ieufJSmphuPsC0lpoKFiqrp4pMonLxiOX/24x/x4Ycf8vH7O3j48d+iNlzC2aetKn5s/NIXeFbRLumnk7v68ktBpXjxzXeZvWAp6y+93Gy30qFN1VTH1GX7WQnxJ6sScc7EaJ5WIiHMAJ1gj6yTQJvoSWMQTTUWGYdxyW1FYQcEatkcOXSA09es5tyzzgz9LMGfJHFMCKH5DV22QmvNy88/w7vbt7J+3Tqu2HA1GVuRtlRp3sp49/y/1Wd/ZXxCkCool66ufLtm32AWPpBcg4knSwmLFpzAogUncPE5p3HvPXfz0JPPokVxzooFSKa7pL0w52ZPP9IzgJfu4aorr2D7x3vZd/hoGO9e8Io21SBooNw1xxGsCsPQx12n7ixpcyKYQntn58q+CToaW7Zs4ejRo5ywYEFd+wdk+da21zhv7UVcseHq6f/ixpBOp7n9OzexYuliHn7iGd7e+XFdx4kICxfM54OdO/nss89a28kEk0JCmB0MTXOiE+IQIup4tE649vyM6J4JHXQdcPLg5JFCDpUfQ+VGePVPz/P7J37DWaet5qpLv0ZfWpklZdGXsujPWMzqspnbnWJud4qBjM3WPz3Le29sY+1F69iw4RospUIJSftJPTRFe1108XTRlSYuZYoUpaq4xBX/rXV5SbKS7TJYLIkugqUkzFJkCSWSeSrTxR3f2cSK5ct56NmX2bH7AKp/TnEZmIcamIf0zsbL9KO7Z6O7Z7PpltvomzWXX929mfc/+pSc65F3TcG1glfMHh8sZix0uFS6xrbqTbUqYdZTKTPYr0MxrQlTKvzfUrTZfhlFQBxxxAkmusSPr9qloGyC54VZ0YMFx9T1fvv1V3n6qSc545TlfPfay0nlBknlh+lPKfozZhlIW/SlFT220G3Btj/+gffe2Mq6devYcPU1pCwpIbrotUUJMrquXNfLjaASCZdKCEilEoHG24j+Fn/eS0kZ258oUDapnl5uv+VmVqw4iYee28I7uw8hfbOR/rnoXrO4fq0gt3sWbvcspHuATd+7k+6+Ae6+ZzO79h4g52hyjg4jmlx/0bFxiZJngtZiWhNmgvbjs127SadSfOeb12HVkRn9T889wxvbXuP8Cy/i8qtmnhpeCel0mjtu/iYnLl3MQ0/+gXc++KjmMT29vWy8cRMFp8C+vXvT9JigAAAgAElEQVTa0MsEjSIhzFaiESkytm+90mEtmaLc9nESW1RVClVzbaRMJ2uWQpZD+/bw8Yc7md/fRSo/jBo7ZpbRI6iRw/ToHD06R3/aSJmSH2PH9q2cf965XHPNNXTZirQVqLRGxS3r9kNlKbkSWsXDgVQZLApjc4yq7MVOKLSV8muZd2H3zeK2793KwiXL+MPWd0Kp0uuZg9c7j1yqj2M5j2M5j8G8y3DBw+rux9WK7W9s59jIKFlfNS9Vy42kWU7jaJeU2fBwTySpTQeq5glhlkOH3ahqang9iO5bVS33IvZMzzHJbn1bpiqMsfmBh/FyY9x8+UXo4aPIyBFk5Ahq7Ahq7BjiL3Z+mB5Lc+zQftKWsPLkE+lOWSFhppRPmj5x1it11jQpNJE0oyQJvhqO6WtZVVxU6DuprZQpuGZ3keqby6LlJ3FkJMexgoQq+KhnMZR3GfSXoZzHUM4lr2wuvf5b7Nq9h98/9WRRJXdN0uLSNHqMU88TtBaJW1G9aJXtcgLlJxrxy4y+3A2HvWkvrB/u5sc4cvgwF595KvO7LLyhI6GTteruRboclJ+yTWuPT7/4nMcffowT5s7hzDWrwzRr9fSzEQSjF9ydKGlWE7YaIddqUkXJmPqkKaroaK9Fcd66r7Fj5yf84u77ueX2O+kfGGDM0YwWPEYLfukLP8+mpzWzlp7MwAmLOXj4MGOOS7dtGUnXv0iljKP+RHC8mERahUTCTFATruvy4BPPorVm6YJ5Nff/fNce7rnvQfr7+/nB9++kp6ezwx1bjSWLF3P7HbczMjLC3Xf9iqHBwZrHnLBoMQf37+ON116puW+C9uG4JMzp8o2N26gqzXxXU1Wjs81BG9HZ5zBtWDQ7ThTaY+cnn/Luzo/5xgVnctqSE9C5rAn78xNLeCOD6OxIaO984qmn6O1K88PvfZeBrhTi5rEFbIGUCmyXpUsjEJFxklK5BzmqVseXehG0W+6cxRMF4xeo5OmSxUGxeNkKvn3rbRw9NsQLf/oTY46RLo/lHI7lHIbyprhaIHWesf4yFiw/mZeef47BoaGaKdsCe2o8S1OtF7xm9Fe9aFVkXIeZx1pGmCLycxE5ICLvRNbNFZGnReRD/+8cf72IyH8TkY9E5C0RuaBV/SqLDilyVs0OVS9Raq3HLfFjov6NUdLUUfKMZM05fNRIRGevOjnSgaILknYKJl46nyM3PMTRo0dZsXgBAz0Z3y3JATdvMp1rr8SvMTp5El8aRbMeZhVZoFSNjRNM3L0nGEft59d0dRBLr1m4ZBndvb3s//IABdcj53h+Vid/8Yp2ShBOOnUNWmuOHvlqXB+F8T6o0Qm0aP+Daxj3kaljkCfyQZvJaKWE+Qvg+ti6fws8o7VeBTzj/wbYiKkUuQr4KfD3LezXtEAtqTGKcuRYabvWuoQ4PU34gqNsU47WTvtp1dK8/8kXPPfyVlYsW8KcefPATo1bxLdl5hyXu37zDI7jcuZpq0snkHyH+HAWnkAiqr9uzDhpqIzEFyeKRjCZYwPEJfjAd9LMamtOO/Ns9u7ZzQvPPIVI8X4FjvApZRalhBUnnUxffz9PPfYQx458haUIF+VPPinfmT4+kx+gElE2koQlvk/d/NmhM92TQcsIU2v9AhD/NG4Cfun//0vg5sj6f9AGrwCzRWRxq/qWoH689sbb9HR1cedN11WdMMjlCyZT+v6DfHvjBladclL7OjmNsP6SS7lw3cW888brvPiHp6tmHurp62Pjd28nOzbGzvd2tLGXCSqh3bPkC7XW+wC01vtEJAhEXgrsiuy321+3r839a+8XcRLZisJtZV64WlcQZOpxNSXJdAWF5Sd/0MDQ0DCHjg0xf+FC0n2zkcJoMbVaKg2en/dSWfxp2w52HTjMd2+4mjNOO218n70gYUJp78TPJF6S7DdysFB6/Upi2yPhlSXXGLRVeRjqkhaC9quppZWqNo6v1W4kx8uuuBLH02x55RUWLT+JE1euwvKz2QdJPlKW0JOy6FlwAl3pFAf27kZpD8uysH13rEAFLydVjrvWRK1uCjpl0qfc7SzLEyLyUxHZKiJbDx461OJu0VEqRbUJHi+yRBEPA9SaWFyyDm1sjqdxNGbB4lf3P8yYA5ddsQGvexZe1yykfy7SPxc1e34YF636ZjPmCX39szjjjDONOl8pJVu5FHKxfSY6EVQOqspSra1qkzyNck80rDKlhLSluHDtWkN8bo7+jM0cP+5+TmTpS1v0pS2u3LCBvbs+59mnfhf6sZqqmOKTZ8SvVcm4CbVaY1lJza7rHrRD7e4g1b7dhPlloGr7fw/463cDyyP7LQP2lmtAa/0zrfVarfXaE+bPb2lnj2cMDw9z6NAhLr3kYlYsX1Zzf524TU8I9QTmnHv+haxctYrPk0xGU452q+SPAj8G/tb/+0hk/T8XkXuA9cCxQHVvBHH1reMwwQL0ZfevkgA3/hJWCpfTsRMLhDkss47GQZEZmIeT7sNKdSF2Bu0Yn0opZEOn9oOHDvH+Z/uYPWcO2s5AkC28gpRZIi34YxIIM+V6Gt9WqXZ6VCJsJCt5/Ng4GpZ2I8cFtZDAeAUEjfV1d5FJWXz49nbOOfMMejKZkigiS0xddTDq+ey+Xo4dEjKWCt2IJoKGgxcminZIhFOQnb1lhCkidwNXAPNFZDfwNxiivFdEfgJ8Adzq7/5b4AbgI2AU+LOW9KkVjbYAUZ/J+LpaCHiiJOVXpfar7DvmxzCPOJqhvIetFF2ZAWy/PK4UsoiTA+Cu396H6uph06ZN6HRPxE3JH/GIj6cu94BHHvzoR2+cvTJ2LfHtUVSybca3V0K9M/fxfeP9Ndt8O6gqFs+d1dvNLd/9Dg8/+CCvPPc0N27aVJqYWIRU4NmlPdLiYeGRxikOQnQsI/9Xe24m8w5Ml/enlWgZYWqt76iwaUOZfTXwF63qy4TQITaTcignXZbkQKxAlp4ev59xfQna0uH/I9mCIcyCiXVOKSHn6jDEMWP3kPZL5R4dzfH19euYv2hJKTmHJSZqh4NWQj2kGb2+OCYSCliPy00lQi3npxlU2iz1KBfOPeN0dmw/kfzIIP02frKTvNnVc025DjB23twwOjeGjA0iykIrKxxHbdklfrMSGd9K0ng1HG8TRI1cbqdM+iToIORyOZ7+3W9QSjH/hPoyqidoLRYvXMDIyAi/e/qZhs0NCZqHJPnGcYC4Cl6svx3MmvtuRp6m4MGbb7zBF7t2ceXGm+iZu5ChnEvKUtgKMn71ry5bk7GE9997F0cr0n2zjDoORclogqhls6xk76wlbVbDRFXwWvta0ZVRrUV7iOfQJR4f7/qMQ59/yMK5A0jBmDlKisEB6047iYP797DttVc597SVLF1+osmIFJw3MHmoSA13ihL5RCTNmqikhTWinTVih+yAipLHt4RZJg/kTEGlMMt4OYMgt2JAlgVPM5bLkXM85i5fyVdjhXAZzBZjnUcKHp/t3sdDDz/CoqXLOOvc800oIAqstJnwiYdaRkMux3V4/PjXjPSpcv3lXGuqLXHEXW0q7Stl9i0p++E5JYu4ebMUskh+jGu+vpaelOLXv/pHnKMHkJGvkJGvYOgQDPrL8Feo7BDnrFyOuHkKoyN+O342fM8phqrGSo6UG5dqaIs6Hu9flf52GhIJc4ahngSyni79P3hMXa0puF5YDiHresVqjo5HwY6SnWVioh2XDddtxE5nwn0BrCgxNvFFKGfTDE8zybYrcUXdYYRRAoisC31P/dIfgE92eeb3dXHl+gt47HdPMHRwH3Myfl3yQr7o7K8U0t0L2VFwCuAVTJ5SX5oUrdH+OUR74ybWOsZ7ZBoQYi0c3xJmgqZAymU5SlA31PE2yzKNcdxImMfLI9lofe443KASIVBwozajICLISAmOp/B8d3XPV+2twFbqh1vKRKTMmJ2qnHRU0Q8z2kx9Zxt3XBw1zQBlIpei/4eF5cDPYu+G/+P46rnrgFNAZ0fxPP/anQLa31fsFCgL7TrguSYTflylpXZ9pcmgrvenGRJkB9gpq2HGEWY1B+i60SzVIX7z2/gwVBuHgARcbf4P+FUJpJTCFmX8AC1VVMn9TDpB/LLVqFQUXHc5gomPSbBPDaf2qn6YjfVuXLs12yv3jMRU8pAsw9+6ZFvxtwdao103vKCALMd1TGT8eNV4phrx5/V0i+yYM0AdhzpUchH550HeygQJEiQ4nlGPhLkIeE1EXgd+Djypj3NHsGgCibKRK1OMuFoeqrCAorjNUoAneGE4HqQssCywlcmWU4xSMRKmWQe2Mm0F0SxRoaTqhEilbXWMYyPqeaOoJlU1qobXCy3imy0UiCCWZdRvIKiXBEYll0wXMuoZ1VzZxfBTv53QiT3mjVApc1JHYxKaWCMa5kQE6ZqEqbX+P0Xk/wKuxYQs/ncRuRf4n1rrjydwzmmNcdl2pqIPIqHzssIQYRBEUlSvzYo4cQakGWwzbpUSbi9m1BHmdqfQFFVw5W8DSFtCxjbZcoLsOYGaHhJouVnjRlDmxak049uqiJaGyLIGigRpiE1EoZVtonbsFNLTh3Sb9HrieaFvpdhpJN0FIx7YqbD0RRirr2wT7eP/j58yL8CUk2UHvDPNQl02TK21FpH9wH7AAeYA94vI01rrf93KDjYDzTDJVCLKcm4ck0Vgm4t+LavZ6wLSBEN4Ufk/Km0KRooMKg5aSEnonquNZJmxFClL6E0plP/SBpm9fb91fz8J05XZqpg4QiZClDG7Zcn6MqQJ1YlzMqhLQq5mwxzXYDTmO/ii2Wj/7dNWGqwU0jMLNdA7/ni/TpCXcdB2Bp3qMklObD93qSoNjQwm4kq6Vr5ndb8b45J2TBUJTvGkUE3CFJG/wmQWOgT8D+Bfaa0LYj6VHwIdT5gJEiRI0AzUI2HOB76jtf48ulJr7YnIt1rTreMPjToXx7PxRDOMx/NNWOG+49uJhu4FUknaMir3QEZh+RKmpQRFNJsOdFkmo05aPCwdyaLTiPRRh0RZSfpstkN2RWlrMtKUUpFs8wpdrKyGKNtIh77E6HUN4PXOLp42TF5i7JVeJmckzHSPCUMNbJhEJErd2JhE9w2u3wvNOo001GSJs5LGUW6/Nkqc9dgw/+8q295rbnemCDVudi27ZbC9YdW8wZtdzk4XtWdCDbeHuE/huPILZhInYykySui3QRFEppT6/onWSH4EnBySH0EKXaXXUsGZfdwYTfKBb0akT1VeaET1ju8myjwbJWMRT8OWQae7DWF2z8bt9eu+B2V7KRKikz6GZ6VxrAx57Nq1SGqg5f7yM8h2GaDzpngTJEiQoEMx4xzXA9RU15qRaaVNqHUtcSmz3PYAUakidAmKTNKIk8dyTHJgNXIYKxBjfAlT/PNoESNZBokknFypm4tWZSXOuibJGpgAKrnO6K7Vz1B7sqOR56PKM1NyrfH/xQQGuCqNKzZjkiblmTF0NWF8eJC3dDjvknM0Y45Hzi2thRStSV6SdjPWn+izEHdSHzexk2Acpj1hhsmnp7QXVRB/+eu0zVSdFS+zrd4SCxL5LeCH6/np2Bw/A46TAyeHGjuG0v42zwnJEkArC8mPIY5PmG6+eC+itro6rrUhNOCzOalz1LOu2vqwI+NJEvwCdB44nibvF6EbznvoXBB6qiOZ9zWCMFLwyHuasYJH1tGh/dkUWPNt2WIm4kO3smCfoLuReygirYvs6XBM9JKnPWFWw3R7Dhpxuq3ldxgnyej6EonSj2kGDFnmRxEnZyTHsUG0v03ns34DRd9A5eSQgHBdp0gOyka0Ct2XTEcjmXfiUmYlEqy2Hppv7G+21hFx9Qn+BqGmrvbJ0tUUXJNWb8Tk1wNgNO+GcftgCHC0YMqG5FxNzvGwreIEXDh557t3eeFkYHniTDAxJOOXIEGCBHViSiRMEfk/gH+KEabexkQQLQbuAeYCrwM/1Frnp6J/E0UrnNjDtpmYo/Y46RKKM92+ZBhk0AmT0nomK47OjqBzY+ZgP3tOGLqX8dBOAe0Ws+eE3gLBCStIgp0YTtqwFDkBqTOa1FlrHdaEd7SppZRzNE7WVOIcLbgUfHHU1ZqUpRjKu+Qcj5xjkj2HVhgVsT76OnZRA9EokWLBOylVzydS86i+i+28uYBmoO1ProgsBf4KWKu1PguTl+p24O+A/6K1XgUcAX7S7r5NCapkmo5n+BbqNzNE9w3aKQlXjJ+/ZNHgeSZjjr9oJ+//72fg8Vy0V7nvphORiR+lKroaTVi1bmZWqUa2NZKqLoISCwXFEiFaGztlQXtkHbOYzPYuo4WAJD3yjovjeTjaM5ny/UWXtOPfPn8xLknVjTzBvjMJrTLHTdWn3ga6RcQGeoB9wFXA/f72XwI3T1HfZj4CYvQqv/iiFKIskwRCWSae2U6DnQoXsW1QFo6nfads3xFb2cWEEFJKlB0lXVb5WE0E4kvZEpG24+UXgg+ZIpJmz3Wp9ooHxBjA8yghyTjZ1SRIGnfhrOrUP42kyUaEjnJo+9Ortd4D/CdMXfJ9wDFgG3BU62BKlt3A0nLHi8hPRWSriGw9eOhQO7qcoAIWzpuLUopHn36ObDY31d2Zljh86CAv/fF5enp76e3tm+ruJKiBqVDJ5wCbgJOBJUAvsLHMrmU/k1rrn2mt12qt154wf37rOtrBqPWFrPkFjUp+8QJlyibd1Y0WxY7P96G6e1HdvUhvP9Lbj+odMEvPAIuWLefWTTew58tDbN3xfhjCp5Xl/2/OoaW4jOtDJ0mcUVSSnMqsK5Eoy60PJXonnNG2lGCJ8PIfn8Mp5Lnltjvp6+6iy1Z02YqMrUhZZumyLWyBL3a+hyVCT3fG5BH2l+PRLWiqMBWTPlcDn2qtDwKIyIPAJcBsEbF9KXMZsHcK+tYRaHaMdCUUU4z5uRctk/3m/PPP44OPPuHh57cwd/43WbZ4QZGE/X1MirEUq08/C578EzlPmQw6UEw11qlkCK1VI7247bLoUhU4o9tWGizBcwosWbyIZYsXGLeiLjOppkTIWWZfV2t2vvU6n73/DuetXcfSJUuxREJpJyDOAKrGRE78rjQ9ZnwaqeiNYiqe6C+Ai0WkR8wU3QbgXeBZ4BZ/nx8Dj0xB3xIA6XSam669Cq01Bw5/NdXdSQB8dfAA3T29XHz5Va2b2U5QE22XMLXWW0TkfozrkANsB34G/Aa4R0T+H3/d/2x331qKuBN2A0knykb2BM2UOxXl1fJxhcnAn5ApJnkI+9TVYzLjZPrwumaFKrwOktb6EibA7PkL2Pb2u5xx3loWLFhQ/iImkXi3kzFOFY9Kl/G8oF5k/F2HnTs/5Ms9uzjzzDPpSfl1lJTZN6VSFPybXnA9+tI2g2mL/i7bJGuWYuYohZREb0XVdBPZdXwSbFxTa8YoTIkfptb6b4C/ia3+BFg3Bd2ZkYiGjEbTdcVJ0ySf9WdwlTKuQoBO9ZqktV0DeD1zDGFaJpEtGHU+iFr59m3f5x9++QseePgR/vwn/xQRKSlbYTK5V/hY1HJLahVETYy0qx3nxQhSRwudUXJcNpvl0QfvZ9GCRdxwxSWkKZBOp0n7ITsZyyMX+GF6Jrt9SgldlslsL1JM21c61uVpodzqSpJqpSixcZhGH71mfTJmTGhkKxMHhGm6WokW5fWLjsu4PIe+DTO6b/AS6Ewv2BkGC4KTGQhD+VwnkHrckJTTA3NYdsqp7P78c7KuxhIdTmoE7VoRiadpaDWhQk1SGPdsxFLgBZM9QLE8LpAfOoKXG2PtaSfT7Y7CiIOyu7AyJuN6JpMOCTPvarz8GCkldKdUWXIM/o3XVzJx5pHfsf7XTY7BtU0zNJsTOtgqn2Aq0d/fz4IFC3jxxT/x+eef19w/satNDPUM27bXXuWTjz7ipFNOaX2HElRFQphxTEJq6Sin7Ah0bHF16eJEFxQOioIWvn3bnVjpbp55/o8M5V2O5VyOZc0ylPcYzBUXle7m6OAg2996m7yrjTTqO1wHkSRNiyZpljvSRNupdIwq056fnCRIciL5MciNsmXLK4iTo185WGNHUSOHTTq94YNYwwdJZY/RIwV6pMCWPz3HmlNP4Vs33EC3rUhbpkidrQiXwF0psFkGSyh5QmRWXVrzgWumE3ulezPF79iMUclbjYAMO6FqZCOoh6SClF8ehDHHrtZYmW765sxh35cHODw4iqQy5F1z/UGcMxieOPuiS9i3dy+/efRRAM47++xiBp1mvpvtfmEq2SwjKnvFZyP47QYquQuFMZ564RW2vLaNdWecysq5vbjHDpssTukuVLdxXtdOAdw8Bw8dxsuNcfLypfSkg1yZJv9pPU9ilCTHbStjJpl29ss2Pw+dKRJ1MKJO2PGlmajFMdFEDnFUk+i01iWLkQKD/IwmGUTB0xRcjePBmeetZXh0lAfv28xQtsCxrGOWXCFchnMuBSyuv/kWFi5dxu8ee5SdOz/A07pymN5EpJFWvRy12o0791fYpssFA0ThOTz7wkts2bqddaev5JpzV6OHj+INHcEbOoo3dBQ9MogeGURygwwf+pJf//ou+rpSnL1mJZZ2sLRDWlFa3liKSyBJBktcmgzyCtQiy3HoFIKcYiSEmaAqTl55KpdcfgVf7tvD0OCxqvum0mm++e1bsVMpdr4/M8o9NRvvfPgJKxYv4NqvXVBTLf50126GR0e59eYbmTtnTpt6mKAaEpUcJu5i0oGoJFWW7BOuD44J0ogZKTP4v+CZtGP9A3NwPc07b7/F6RddAhjfQCt84T1crUyN81SaWbNns2f3boaHhhgYGPBrmgcnLc4al6CalDcBybLhTPyNPANV+qMB8SOdtPZKvBA+372XoeFhVi5bbNLlOXmjegNQAM+N3BvNjh07wHOY29+NuIXwvNoGS9kl1xjeYT+LehSVJEepsL3kZ73+s818fzp0LgASCbM8OviGVUI1FTzch6KdMkqWgUoepgcDP22YRqM5ceVKVq45nbdefYnPdr6PFzuRCtRBX9XbcO315HNZNt/1K0aGBg1Zek64xLP6lMRbx1GDnCottfaZFOIqeiQOHz9jk1Y22Gnz207z2b4D3P3I75g9azaXr1+LpNImE1SAMHWeSaf3zEtb+eizL7j2sovp68qUjl/wl2CSh/D/4Hdc9Q67HlmgBll2GjrgvZz6HiToeCiluGrjjYgIhw/sr7n/kqXLuOW2OxgdGeGuX/+KkZGRNvSyc7F77z7ueeAR+vv6+NHNG+nv66l5zJ4Dh1i2eCFfu+CcNvQwQb1ICLMSmp1Jp81fx2BSpxqCaoTR35UkVduymDV7Np+9/zYjRw/5mXSElCVhdp3A3SVtCSetWMZ3v/NtBo8e4eOd75liaf6C6xSXcjk5K4x9M6XEssfXc88DtRjKu2lRzAuqrTQ6lWH7Ox/gePDD22+hf958yPQgXT0mC1S6K1ywU0gqzbtf7GfX/oPMmzO7ZDZetDbO8EHi5oikGZUoo1JkfImipnQ5FeGsjbwnUyBxJoRZCx2gBkwW0YSxNTi0BBKZfU1Zwk233EZXOs1rf3iC/rRFX9oOl56UotuOLJawbP5sxC3wxUcfQn4UKYz5BdYKiOcaN5tqiYxj5NRsTLRdk8XcLCX+rH4FyKxrlrxWjDjC3sNHGZh3An3zl+B19eN19SO9s1ED87BmmUX1z0H1DpCTFI/8aRsrVizn+quu8ENXY0QeTyenvbIZ9mstAcaRaSMeDO1IINxBaQCP30mfuJG/WihcB0wKVSu72yiqZeQOXiStBS26pBrhwhPms3rVqXz8wfv0pRQp29jguiwTsteTMmPYrTSSHaLP9rjkwrN5+ZVXSeOwccM3EMsKs7KDP2ERfxciRGn6W72v1a+19rGTCas1pBnEfOvQFgyQy2V58L7NHDh4mJtuvhm3exbKT1iilY2y0kayBJRr6iMd/eoorrI45+yzSPf0mjGw7PKEUS4HZ2zsqqHsNbdjUqccOlyyDNAZtJ1g2mDZiSdTKOR56rGH/NIK1bHh8ku55KIL2Prm2/zumedrmglmCnK5HA/et5l9e/dw46ZNnHba6TWPGRoe5cEnniWdSrFiyaI29DJBo5hREmZTEnDUEdkx3REkbYhLmkokXCcCFoL4E7niGdegc886E/JZnn/mKZ7/7cN88+bv0Ju26baFjBgCVWNDSHYQcUzZimvWnY3kR3lp21bELXD9NVdButtvWGHq4BH+riVZEtleTcqsdnytY2tlUQqa1lqHrliO59cXH8vyyP33snfvHq7/1iaWnXIaQzmPnCV02+a6M71psLuQwigAw0e+4h9++xxDWYc7v3cL8xYuMZIlhGq5Dty46pCwQi+uCuvrvuZGC8Q1Gx2iigeYUYTZNFRTwZupnpfLkRmco40IS7Jiciv6nUELiDa/LQuC123duovosoXnnnmKN7e8yLUbrsL28qhR49iuciNIfhj8Er3ac7l67VlQyPLS9u0AXH/9tYhIMb9mcM2iQqILbIXxfk70oxgnj3Fp78oeVFntBTNmQZRowdMMjozx0P2b2b9vL1dtvImlK9dwLGc+JBlbyLvm2J6UortrFnbKZKl/8P7HGcw63H7b91i2fJmJGoqMSVhULuhWpWck9kzVNVZTpYYHmCbqOBzvhFnLbllrW6XtlfZtIuISRLEOtb89SK2mdWh38TCSow6JQkpmypUUJ4csv5a1FXnjoolpL7l4HTu2b+XY4UOGLLNDqOyQ2S8/jB4+hs5nTR9cF0mluercNeB5vPTGm2jLYuNV3wC7q8SoH0ygBH2PwtWEuTajY1AN5YTMQLrUsd/Fg6Ip2krvr/a3S8SaFXRzZCzLQ/dv5ovde7hq443MXXEqh0byKL/xnpSiJ2X512LyiXbbXWit+fLoEKvPOJMVK9eUpNkLEYRdxtdNBk0sITxhVLqGDky8Acc7YSaYFBYtWsQHH7zPOzW8GgIAACAASURBVDt2cM7KFTX3FxE2fO1CyPTw4hvvMDwyysIlyznvwovom9vVhh63Bl/u38+HO9/nw48/Yf++fVy18UZOWX0ao4XapKK15pnfP83o6AiLFi5sQ28TTAYJYdZCLdtlB8yg1wtFUcoEIxlF7ZYQk7Riricmosf8tpVw8zevY/PIII8++CDqmss595TFpt3RYbyxkVDCBEwEC6DsFFd//SIk08PLW7fz/qd7eHPnJ9z5w3/CwMCAnxbOP8TvV2BzNXbV8qhkswtPH9mg/eimQAovZ8sMJcvA5zGQOEWB5WHZhuB3f/EF99x9D4VCHqwUV228ibkrTmW04DFacCm4xWcj56hIlifbkOXzf+D1ra/ytfXruPBrl6ElEK9ruOtEpa1K/1fCRFXwDnvOa00ftiJqSaZi1lJEZgP/AzgLc91/DnwAbAZOAj4Dvqe1PlKtnQsvuED/6cUXS9tuRgcnaugup0bVQhXVo5LNreSUZZqsNNkRTeNWXFezh6ZLgu+TaX5b2kEKWfL5PJvvuZtdn33Ct6+4mLPXrMQbPooeG0E7+eLxgftM/xykbzZe9ywAPj80zF0PPkq6u4c7vv8Dunr7x/XJ8ocoOH9QyybI/1j2Wv1xCJpyvfHp0KKpz4J8kmbnPOKnZDOhiG7pvVU2OpXh8y92cdf9D5Hu6eO2O74PmV5GCh6HRsx1D+Udco4Xuh112RZ9aUP5AxmLN198nvfe2Mr5ay/i+uuuIWOp0muLZ3KPohFVdtzgtCA+vNZ5y7nw1dtW7He9jNUIF3T39GzTWq+ttd9UGQX+K/CE1vo04FzgPeDfAs9orVcBz/i/E3Q40uk0t3/nJlYsXcJDTz/P2x983NDxy5ct5Y47TBjlL//Xz7n7V//IBx2c6UhrzR9feplf/OOvuHvzvfT393PbHd+nr7+/oTZeef4PvPn6a5y/9iK+cdXVScb6aYK2E6aIDACX41eF1FrntdZHgU3AL/3dfgnc3O6+haiUzzDYVs9x9RqoWxApUTHxQqCCRpagpnWlxQoXXwrDw8Lzs4ibaJ1MyuaOTTdw4pJFhjQ/+izWIQtJpc2S7jIhg3aXWdI9zF+8lJtuuZ25Jyzk8JEjPPTQg2x/622yrhfm5iy4fvb26PVExy9ITuH/Di49zA0KYdIR19MluT+DnKAlCMIO3QLiZBEnC4Uxnn7qSZ577jlyI0OsPmk5P7rje8ydPUDaMrkplYBSEk70uBFx2dWavOvxygt/4O3Xt3LOBWu59MoNeJiEzAW/X6EDfJBjM0jsUUdOzoZRaeKnkcxN9WpSE+njBKXLRvetF1NhwzwFOAj8LxE5F9gG/AtgodZ6H4DWep+IVKjX2mZ0uP+lUP3BiJKmF7HbQekMOgRuRbH2pagimqxDMduej3Qmwx03b+Tux57kkedfhcsu5KwTl5g2Ummkq9ffsQud6TVF1oCcJ4wWPGYvWMz1N9/KSDbP4w/dy28ee4SCpzn99DNIWyYJbqCuhlcQLTAWFG8L7peyS65Gl0TkBNdWHBilQFNsXwKic3LGFuvmefqFl3n19Te4+ILzuGbDlcYtKq3wfF0+bwtpV8KIp5xjXKQCO6YC3nzxOT5863XWXrSOS6/cgEbCLFGuBlVm6j6IFR9XIrnZ6JSEzhXQCSEPbbdhisha4BXg636N8v8KDAJ/qbWeHdnviNZ6XNZUEfkp8FOA5cuXX/jBBx+Ubp9gvyqNQtWEBHU8YP/yX/8bAP7Tf/i72p2IGe/rsWHWg1rtlHsG4hMiob3QNfY5cfImRyMYCayQQ5ws+XyBux96jM8//4Kbr7qEs1edbJJK+KUXvEw/Xs8cnMwAgKkNlHfJ+tUos45LIZ/nyUfu58s9u/16NUJf/wB33nE7yxcvJOMTlDjZsPxDeC98v05tp9HKJh9UXvQlVSimspPItaX9JCJA6Cb17vsf8Phjj5HPjoBjzrP+nNO47rKLka6e4vX0zgMgl+ozdY98v8tjWYfhvOOfT/PGi8/y8dvbOfP8tVy54Rq6U1ZYVjeQUO3AXhupuhnYVquVj6j2aNT9DHcKYVaYxKoU0FAtAKFePqjXhjkVEuZuYLfWeov/+36MvfJLEVnsS5eLgQPlDtZa/wz4GZhJn3Z0eDJ46623p7oLbUU6neLOG6/l1w8+xsPPmAm5s09f3VAbqXSa6zbdwkfvvg1OHgvNO2++wea7fs3qU1eSUtDT08M3LllHV6p5j/ChQ4fYsuUVI1HmRnlv54ecMGsWZ5x3OhRyzO7v4+xVJzVsb9Ras+1Pz7LzzW2cv3Yd6y+/KrFZTlO0nTC11vtFZJeIrNFafwBsAN71lx8Df+v/faRtfaqxre5Hu55InYnMpDO5xBvx/ldT0+P7jctiEzZatEeZWjYWWGkAUj193HnLzdz96O94+I9bkd7ZnHW2iY3WmT50po9Rx7Q1UvDIOppjWSOtZp3gHIpTzjqfvrRNb1qx6oyz+OOTj7N3zx6ULnDs2DE+eX8HV166nkw6U4xw8ZPyajsNqW6ykdreOV81dtzStHa2EsQt8Nzvn2RsbIx5A31IYYzVK0/m5m+so8sdwxs1Tvl68CtcZaF6B/wxUiZRMJC203TbNo7nj4u2UcBLzz/DZ+9s58KL1ocTPClLsFR9CUTKPYON2vKqRjFF7mu1In9V61Y18szXgzKSJZR/D6IRW+NOHTTXeA/KYqr8MP8S+LWIpIFPgD/DmHjuFZGfAF8At7a6E/W65JQQRzm/y0q/4w9RtciKJqk3tV5AT5c+PHHynNhJbbC8SJkERao3ze3f/S53P/IbHnj6j7z83mcsWbyQazZ+i4InITHmXI+hnMNowaixWSda+gJ6UqbVOXPn8oMf/xmzMgqVHeSDnR/y2GOP8sADD5odfcLUQRZzK4220xQ8375YopLrkmu1xJDm3Fn9/OjPf8LJixeihg+abSOH0cey6DGTBDnwLfUCv1KlEP9Doewuenvm4HgwPDTEs088wZcHD3Lk8GHWrV/P16/YEHEbknDSLX4fJoNK6mo9xFGrIqpEKmQS/1v1wCq+yvHw4CqIhsyWNF/X0c3BlBCm1voNoJy9YEPb+hD7Xe1mREPnqtqD6sC4ULtyk0qxB6hS38r2p8Z6KxYSWGvSqGRbdJZTKbQXOJSbpLmh87gfwpdKd3P7rd/liedf4vCxEV57812O5oXrbvo2edfsnXM0OccLCbTgafxmyfjtBaNhK8zsfGGM005exik/+h4H9u82fdAaLYL2k1t4mV687llktUmnNpR3GfEjb4bzLnnHQ/ybmlGK/oxixeKFdPf0mMmXqITjuaFPaYkzPqBTaZRvz5RCN8rpxhnL89C9d3H46DFOWLSYs846m7Xrv1ZMnuFfk6UkjN0XIpNQE0Clj1016ctcQCy3ZqXcpPGwTKhoayx3jnGkWen/MrPiJUEHsd/xD36zPjyVkET6JGgp0uk0N15/LTrVzWvbXud3zzxH9qEH+Mb1m7DtyT1+XV0ZTlxqootCwkz5kzFdZnJp1CfMYzmX4bx5MQdzxqE8cP3pshQDXRbd6UpxRPVBa83g4CB33/MAQ4NDfOfW21iwdDmOL9l2vME9QU0cl4RZTrqsNgNX66NVl9RY7kuu1Hh3mDr7HF0fuJ1AzOWmUn/9c8WTEsd/R7/Ywf8SsVuGbi6ifXU49jgFM9ZWCm2nWbv+YgpWhsd/+wTvvPcf6evv5xvf+i5W35zwvJ6nsSIZP1KWwvZ/p5Qg+VFU3mRBkrFBvNHB4EDETiF9fpfsjInWUamw/3nfhjlacEMTAEAhZZGyhIwfUpT3NHaQ6De4Rl/y0q4pUhZIXLqQh3yOHR9+yqMvbieHTaqnn+/feTsnLFlO1vFCKdKNeSNYImEUkwqLyEV8ZSP3tN40dpW0kKikWbGpmKtY6TaqSplVtZ9Gw4crSJxh9FaYglCqa3/RJmtsrxczjjCr2WqqfeFDtbdMhhxLFUuXRrP3VFJnQr6MptmKl2LQXkmMoihKbIAlfaKyylX2RYo6HleZZBJRKCESux1pIgyjLLoXeRqsqO0qJE8PUXZp+dwSe2Ixw/p5F67F7unn8z37eOfN7Ty++dfMX34SsxYv55TTzjK1ggLJzzb9C35nLEFGx0zqOMAbHcQbOup33kXSXSj/nJLqMY7nVvF6AhtmzvFKCNPT5lxBJiHH02F/UTZip8E2BCqWVQy3dD1e2PYOh/KaDz7dxZIVJ7JyzRmcevb5LFq4kDxmcie4s6KlJOxTIuQV/B+mvBQpKTlR63mu9MEPUJojoPhBL3kuazmsexTjVP12qp23mhmrkr1UR/sXP71PluGRgR9xGz0OZhxhJuh8nHLqKhaeuJJVp53B448+wv7du3j/3R0cO3yIRStOYfGSpViTVNdbiZFsjgMHj/Dq+5/y8cFjzF24iNNOWcFNN91EavYJYZx8gpmHzn0qm4xqM+IaShJTxKUAPB3Obo4T7cupMSUT31GxLbZvdIYw9vWOu1JUCjDwkHFSL9qELpb0MYBSpdEwokquZ1yCDv+39iXtUIKP5mfUCrRb2eE45oQvGJVz3ty5fO8H/4ShbIHfPf4IH7/9Oh+9tY2Fi5dyzaZbyNjpsAolBA7yWfSYkTD1yBA6cPdxXcQpmHrfgOrLI55bErkUqMQFT5usSBGxaLSgjGSJCVPUadOOtlKodBfiS5gHR/P841MvM5IzblDXfeMSvn7ZpWbMMmmTDcofe8uysURww5nq0tDOqNQXqONBf0uSgcSfmzIhhlENqVySES8yuWTFBbKINiJal1WJNd64+xvVfMpNxgSaixWYcspJlbFJplDTKuNWFFxb9FXwxFiEgnPWnOSaJI4bwqyGINYYTJxxycutASXhTTEalq96Bw9y+NsnFwlaiwyvWybrTXgCwzmhPdPfFH1Q4rHOoTuKP9kRIiDLMITRKT1QKyQofaA9M8Nd5jzx8hVapMSoaUuReCt6Dvj6sGhv3AcrdK9Rmu60zQ033szBL/dx6OABXn72aR76X3/PvLlz2LjxehauXmkOKuSRIFTx/2/vTWNsW677vt+qPZy559t9+w5vIh+fKEa09UxRVGjJCmkrEq2IymCDhkATjgAqgAVYSIJIjoDAHwwkShDHCWBYoCMlMiGaim0ZIgwFki2KVChbFClOj9QT+eZ3x+6+PZ0+8x4qH6p27X3O7Xm+9+0/0Ogz7FPDqqpVa61aaxWQDrqkNqu7szEOzXeSRJDGeTilyJi7UhZLDuBZl6OMYSYaZ481/pwhX37lNv/+6y+yvbVFvVrhIx/8IWZbDZZu3By/OuKIXhOq0CaR8UxMbuwmVFhtY8t3C5XMGEpx/LQImSFBi4ybrQobvpufuzBMUT56om/ZrZnwMKM2kVS7M2nR6cMRWu6HZn66uiTPwJ/y8Pr0ENwnB6jmp2HHfEswzP0OTICxe1kSzZjk4dltK7d3F/0YUjPJJpjSrjf3ZXHPk7bF4u2JTvJLSVHjbdrFd9A8a5j5mDSSpi5s8SGGKcpNRvGzOq3NlHyhFW8/NH3SY1u458nDC3aib2Kvg9RpngzDHGaIKQ9z8OErCH3F9evXuX79OlcX5nn523/K6p3b/Ovf/Bc8eM/zhGGIP9xB9TZ4oqF45vpViCPzB2h7EKOtf6ROEuOClNGrIBArGbdLZ0jtXe7f+PrXoG8kV3+4Q3v1Ni984wWeWF7k7U9c473vepaFORu1qyakvX0O79IJmqbk45ZJ3W4c0zjXEpJ4TBtxm5z1/yxqSFnijiJ0kVVMHKqZDTYZr7PArMYOI4sMSdREfL5+SIvwCmtmzA47yaSLEG0Tjjy88UzeygmA0jlj1rtIzxPY74zjMHhLMMwSjxZuPPkUN558imTQ43d/65/z5S9/CQAvGiBDo4b/yPu+l2daPmnXXCKmdYIECZ5n1HW/0ibVNUaR8ebcGsRs9wwD2ukM6QwTdwgUeII/8KknFb7x5T/m9Re/TsO6GHnRABl1efdzb+MnPvB+JBrs7atY4rHHI80w9zv1PgjpxE6f7crGtpV/l2hN6Ml4pu9sB05jk2y2oDoxpqqGbjuUNEGS0bgqIgq8ghquxv0Ai5drTe7guRqeSb/ZLmulyyxJRlFiAOtgbiWTJHZSCpimZpGJiR6ng6fM95k9MdETkydLr0bBtOAkFXHfecp30mURRdU0sz/Vmw0+9rd+mumKoafXXSfZuMunfv3X+Z1//xV0v4MeDV1d4vkuKYZqTKNrLXTF5KnsxtpdGdEZxQzidCyje9VXNOwp+ft/4Pv5yQ/9KCJCZdTG624gw7arp5gYeTdk459pBpHTFPSYdORRzHZvsjFltCsmN3lIS8jMBc6NS7m5kmgzhyftiVlSD4oeH5BrPuDmpxQb6UJNrVqe9REj8TkzRppLm8YNKleV3fwsrJti3yYjiCT/0Zj0rBlfn5mVyGkvxdCpA3Bc3vFIM8z9cBiC5IbyXA0fJfkEBxvCVjDAp0rws0mdREgyQuLCxC7GMxdbkoyQaDhmlzK/yRmWWwjkiw3MJIkKE6XYHrPQip0yC0Cigi2vGCusfHRQULm0Uf8Blx8yo0PRb9BLhdDL56OvxtW6sTrdLWuFhW775oW+OeAo3k7JhM1N7z3pwzDgp/7qB7m7tsGD22+Q2pBF0hQJKngtc0KtphdIp66QNq4AsB1p2jaL0OYgpjOMXSYj3xPqgcd8LaBaq/Pu73r2ofh6Z59Ok3EJc7dDP8cwx22jUZozTLE6uFdQDgXLtMBcUVzIDGU6ZZmIF5oCCqpzca6MEv2QWal4GJJkN4FS2MjBZJxKRmPlUvCt1cp3DD3Rpj8ZDYt9Axtu6uz+pv5MHCjWSTxCtM5ngx+MCQ/i5+cLWc7QLBBAxGR4chn5OZkQdRg8tgzzKEi0ZmRn1CAeZ5i+0ihR4wzCSokSD5BR36QZw0wELeJii1PyEzyJBuYO6iy0Lk3MpAjzy7/0mLSX+w0OYj3GwIzEkFsF/aLxK43taXLftTFLTSaeZ3wjMwlQ+aBrThJIUhOmCDBIJqUUTaLFhQwmOt/aJU1M/+w95G4B2sWW6jS31QZV40id1am1Sen2UAZf8JU3ZrvNFpznedy8eoVrFf2wH2bLZAj0rlxHzyyTTJtIoK3YZ2Ng6LDei9joR/mhjwjN0GOpadT3Ir/OTo11lIdG6uFgzIk7u36DwG4Qtq9xlDJKtUtdl2kKpm+C9sgPojw7hHHGJM3ccvTUaS5R+rYem/QjVb7bTEeJqS8eY5iaUGX+tIowT7ppNzo7bqMOjIboTABQyknsYA/ALBKrjWR9m9xgAyVUfMuYU6OlSVHCzOqMB+MSdBJCkI7ZZ4v3vg8L61OJRmvBy0JxC2v0rMIkTyfjQ4kSJUq8BfCWljAz20iUaIZ2p9wZxXSG+cldPfCQqhB6+e7pEudGw/HwvDgC5RXsaJApFCrqoztbpN3Cs36AqpnM4zIFEth0EzolShVDK3X1opTuKCGyqqAScVEphBB6ue1T0sRIvb1tANLeDjpzvVEeqtZAmtak4AVI2CC1YYCjVNO3dGgXMgiBiYSZrgZ4VmSueAUdKxmhor47WU4HRk12F5/VU1LryiRhDSUVJxENY01nmDCYuF0x62fVF2efC0RBGrv+6H4XbetKRxGqmvth6tHA0KKgLmdC1yBOGcapS/fmK6PaDWLT31ZYkCN0isQDl94t3dkaS8Ah1brz0ZSKGfesvaPE2E3bA1NukZ6BJ0xXA3yVGW7E1mUlr8EOMrD+poMu2krQAKrWJBWFDkyiERRO6urHKZ1R4uy1aaqp+IqpijWJKE1k53LFJTOxB2edbdJu20mYojykYWzAagrEr+RRTlozSFL6ViPpDPP5CWbdpNoenImm5pNrZtHARWvpbnvMJqyqDagXpFndcnWOktTdxmnKFZoVDz/rj9akmbmh9MPcH7lF7PDID3pwE2y1M2LT5mYEmKr4KAW1ICj80AywGu4Qr98jbW+YuqORYUqZWgi5f2B3i2T9Hsn2uq3UMEyvZdxTPOWZcD7yNmWTcb0fsdmP3IL2RJiumqFbpELVy33VvGSEGnWJN03+5WRzbWyBq0YLL7YJK/wq6NSpPMNYs96PLB2G9KLElVsLFIM4ZbllmHojUKAs440Gtn/3TV8tc3ELfPaKU+XTSgv8ilPfOqOYjUFEZ2gWU6pNXWZ8NFW/OqZeSpqgB2aBJ9vrDNbNBpREMX41JDNwSL2FP7Po6J8WTBydUcJ2YUMIlKFf0zKVov2PZASDLqkdt2RzlaSzg1jDmWpMOXub35y2Y2eZV5Sy2Y9ZtbdIdka56lkLPKJE47esWq3NZiAj0zc6GySbJsVc2msbG22RnspHV01OTq1zW2J7kLDSHdIZJa7fFU8xrJt6REJq2QmQMpu+3jGXs8Zrd8Y2BPEDN5cBG25q6BmLph9pHvTMfNnsR46eSqAV+izYOkMvQGvtXIjUqEu6/cC0b3vdjKdVq9NqA28+QXwrPKQxSWrGZZBoHvRGrm/GHhsS2g0/9uCE+VMORKmSlyhRosQh8chLmJ/85CeBo0uYqc7VmF6Uup3yfmfEVi9XEaZrAQv1kKWm2S3nqh5+1+yOevMeyeYqUduG50Ux4nkELaNmq5kFVlaNpPd/ffKfkWysEu1Y6ShKEE9RmTbPenOLePPm0rCkdYV27LFu2/SgF7E9iBhYKdj3xElDc/WAxXrIbNVsrUFvHbbuE1tpL9pqEw/sQYIIQbNGMGfuoPHml0mnFukqI9luDmLu7RiVcKMX0RlG7kC4VvFYqIcsNgwd5usBU76VeHfWSDbuk24ZukTdnnGQrpid35uawZu3GdenFhmGLTatmrrSGbHeH7HTN9JXnKbUQ9O32VrAUrPCQt28b+khsn2X+N7rAAxW1hlu20QcUYwKfCqzRoWsLl0huPokyYyhaTsNWOlGts4hG90RPSvx+UoxUw9YsGO83KwwXzN1hr119MZdkrU7ps7NHZLB0Dnt+/Uq4bzREvwr19Gzy/R9kzJpa5Bwb2fIhtVYuoPYeQM0Kz4ztcDRc67m05QIr2NomGzcy+nZG0Cq8as27LM1jTd/FT1l7gmcpOdmP2JnkNOzGnjM1sxYLDZC5uvm9ZSfmLGzfUs2Vhlud0kj81sV+IRTZm74c1fwrlwjaS4B0NE+D3oxa1Z63uxHDJyEKbSqvqtzqREyU/OoRmaspL1KurFi6tzeNPPTntAE9SpqZgFvzmhBSfMKO1bCXO+b+jpZ+xCmaz5XG0YabYbK3ffkiZxJTo5HnmGeBJnmFSWaTauK3t7ssbI9cC4Sc80QuSJu8AFnZ4q3HtC7u8rggbEXRv0Iv+JTmTULpomJcgFItx7Qub1Gf90w12QY41V8avMt96xqWvWnZZh5ttBubfVY2R7St6qIp8Qt7nS+wXTFR1uDoiQj4vYmvbuGUfdXtxhZxisC1Zk6jcSUU63UoTlPYreZrX7M/bbp262NHp3CxlGt+PRnaoRWFZ2u+rm5od8h3Vylc8eokMPNDlqn+FUzkeuLA6rWzqfq0+iwRT/KzA0j3njQY6NjT6GTlKrdDJZnq4SecuYHBPSgR7Rl1PDuvXV6D8wGFI9i/NCn3jPt9wIfb3oembIqZKpp2/jv+9sD7mz2iSw9xRPazdBFwMxVgzyFWDIi3l6nd9+YXborm0TdyAX0VGZq2IxyqOY0ajpxKvnWIOLuzoC7G8bm2u7npp5m1ef6bJ2KVY9nqj6iY7S1h8dr9+neM2aAUbtn6Fk3Knn9ypBqUEE1DKNONfRsX/ai59K0+a3vCa1KdtoOetgj2TLj1rn7gN5am8Ta8L2KR3XWbOgt2z+a+an4Zj/izrbp272tAT1rVhERZhoBTy6Y3zZCj1bFc+53aWeb4ZqZn737G8S9oUvmHLTqNOPE2DIBqc+RaNPe9jDmXnvAg44ZY18J1+fqNOy9TlVfkZn2z0ozf+QZ5kc/+lHg6BJmonEJZd9sD/n8a2ZBvPr1e4T3dkgzl5MrDZ541xIfeM74871nuUHw8r8DoP2FAfe2d1h7w0yaYRvCZsDcshnsq2+7zqfmjF3rJ99+kzv3O2zYwR62oTIVumevve0mc3/pB0wf3vlDfKfr829eMRLGm99cQd3bQexvVeCRXrF1PLfA+59b5D3XzLKdWnmB3hd+mztts/Duv9Gnt2FtjUqYmaqxfHUBgKX3fw/+X/gr3PaN1PD51zdZ+ZbZ+dUrG7DZd/TypiqET8zw3fZung88M8fbKtbW9a3Ps/4Hfe6vmgOY7X5EPIipLxiGuTAzxfXnnwag+v0/wvaVd/Glu2bjGH1njdvffkCwZn4bRwnKSl1ybYrn3n2VDz5jJOJnqwN44bOs/lvTrtt3ejxom0XYHimmQo/5JUOHG08ts/QffR/y538EgJdHNT77qhnjOy/cJ7y9TWqlIz/wCK40uP6cocsPPbfIey09W/e/Qef/i7mzY6SjlVsDupsaZe2sM7NNlm8YSW/pL/65MXp+4c0tQ087t9RWwZY8U6X+5CzPv8s8+4NPznJTr5N+4/cBWPuDHVZXzWbQ7sYko4SGtWFeWZhh+fveTuW9PwrA5uzb+eJtQ8/ut1d54zsP8NezjSRBGiFcM/bOd7z7Kn/5baafz7VS5FufY+Pzhp53V3s82BkwtJtmZSpk/qqhw/LT11n44feh3/WXAHhlWOWzr25w6wWjyag7baRt+qd8hczXmX27Gbfvf+cSP3BjioWd182Yf/l3WfmCoefayoBuVzuGOTVXZ+nmEvPvf7cp6899kDftZbK///omD15cZWu148Zt6ckZfuBZszbftdhgwWoGFU+O5Fb0Mz/zM4d6rrRhlihRosQhcWESpoh4wJeBO1rrHxeRp4FPA3PAV4CPaq33j0E7ITJ70jBOWbW7485Gn63Vtkvi4PmKtfagcJshzpWl7i455gAAIABJREFUv7rJ5qtb3H/TSHObUcLUpnLSx/TTmyb80D67/cY2t+6Z3bEdp0x1R/hW3Zx7x7YrF6XojhLubZmdf2O9y/q9NoO2UZ2CaqYEwu0rDbaHcR5lMRoy2GjTvm3atHarzV1rzwqV8GSqaVnp6UpnC5KYxLq2bA9j7lnJZGuty87KLUeH6MpNas2QdSuVJWmeOCHtbNG9v87Wa8aJ/O6tNv1Es7RpaBo0QuZWzUlsddhHJL8d8t7WgPZ6j637Rv2MR30qzTnT3orH7Y0enevWVFH3IY6cHbi33uOetX1ujBKm45TKivluuNkxrkWWLMNYs2rts+sbPdoPevStd4Mf1vB8xaqVrHpR4qJL0mGf/nqbnbtm3DZu73B3EFPNHME9xewz7bF5kZ1Yr3VH3F7rsrVm2tR5sOLGLY6WuD9VZduqsYnWSBq70/junQdsvmrpeb9LojWLbUP76myV+Y0tqjZgItXGHQ7g9kbf0POemSvRoEttZomKlbzubfWd+g6CHnQZrBuTUvtWmzurXdp2bKYGMZ51sZp9+zbpoOtst/0o5d72gAcPTJ83Vjr0t6x24ofAErfnjP3T3M2uXUBD0t5i546h/fpLG6xtD50bUDyIaSw2mbUBCV4ywl7Cyc4wZmV7wI41cfiBx73pqvM+SFLGQk3PAhepkv8d4EVgyr7/JeB/01p/WkR+Gfhp4B+fZoV7kTBKNB3LVAa9EYP2A3MVATCYbrLVy6NCBFw43nCrQ3el5xjSxiihEyhmrSo12um5qJrhVofegz4r1j60MUrohx5L6333rPN/AwZJyrq1Q3XbQ3rrd+lvGvUnqDUJ64bpre0M6UeJc9PRaULUHTjb3sow4b5tnydCwxtxxTKypNdDCmm5OoOYgbVb9rbW6K3fcQxTBSH9TpNt+32cate3tN9lsL5D224Gt/ox/SQlsm1qrXQZbo37aGYRRdu9iF5nRH/TLLZRb5vEpmjrztZYbQ8dM9B+DQES+37UidiOcnomWnPDMr1kMEIniYu5H8apa/ugF9HbWmNoXVv8apN+q+nsfsPC5kgcEXf79K154sEoYW0YU7O23Ln2kJHdRHQcgSg3V7Z6Eb3OkO6Gqae7dguxLkieHzLoNp1dWmsgid3c6q332LSM9lY/sqGypknTq10zt2wEl9Z5mze7I7rbQ7prt0zzh33SaER31vhsrndGzv1HSwhxZMoCeut92z/zfT/0WNw09By1ey4zFJgNb6MzpGvp3V277eanX6kRVJvsdM3Sdu5pNqJntNNz83Nte8itfuQinsK1HnOrHZK2YZhBErvIq1GcMuxHDOzhnRcmZs7GWT6Gsw6MvCCVXERuAH8V+D/tewE+APwL+8ivAT95EW0rUaJEib1wURLmPwT+O8zhG8A8sKW1zjx7bwPXd/uhiHwc+DjAzZs3Dy14Tz43+d7lnoxTkmHfSVZxlI47MuvU7bRRd8CoO3JSTvZ/YNXEZDByp1DxYMRwlNDJIiPilFAJkZX+0lFs4ssx2W6G8chJvcN+zLCzwahj1Jg0HjHqGWluNJizmXds+9KUZBSR2Lb0k5RteyIdKqGbpMRZ+0Ymk1GmxQzjlJGVLuJ+l3jQyenQ7xBHyTgtrMSgRwNG3cjVsx2ZfmZS2LA9IuraA484QpEnFhnFKfEoYWQjk6LuNp6N8hh0IzqD2ElPWvnmorNCtpFdQtAdxPNcXHeUps7VJhrGxP0uo66pU6cJcWSu3jXPjieSSJOU1Patn6T0E00WwTVKNYlTcc3YZSTqDCJG/ZjIRndF3W0nYUaDLnGUjkmzkibOBWzUGRXoaWLSm/ZEPepGRoIuRMhkUm08SogHXSKblT4edPArNYZ2zPuFiDGXTd1GPCV2fvaTrK/CMJOA09TkGJU8UUtvlBBZk0LU2ybKosviEdGgQ2TnoMsTYDWSeDAislJiO07ZGCVOwlwIPUadUe4Kl0SIdVBJUk0apyRJltEpv9juvHDuDFNEfhxY1Vr/iYj8cPbxLo/uuhS01p8APgHw/PPPH0oG34upuhv6lOSZuZW4SQ3geQpPyViC3jxJbepO02H/xau8cWE+u4Igu+pVvDzLkck+kzNxnWpzN3ZWb5qQZPdka20T32YVqV3ryusUZJ+4sYwmoh52zChm8PGKR5Bp4hYd4NTHjCmmSeq+N4tuPPt5ETpNSF0/NaM4dWGTUQrVsErQMKfFYTOguW5taolh0JlN2Kuai8u0DcmMkpGjZ3HM9kIxe5LylDvF9UQIlbhkFqESvDDLrBOA8vPNN9WkduwOQkaOIh2zV4keT2xhnsvL3I2UxbmSFuofSzAsyoQ/ZlFLnjL9kbyvQXY9iFJIEOQROWlsUg4W+FWxzl37mJmNkpQ0Y9Iuy78NU9aaNEqcLyg6zdV1X6F8hZe111fm5k2X2V3yNS1HYCpHwEVImO8HfkJEPgRUMTbMfwjMiIhvpcwbwN2DCpokiN7nu/EHU5QoN9ECJTTtQqvUAiqtWTfJgqpHs+oTuPtr8hmiQp+g6jtJajowUkDVGthV4LuGeNWQas1nupszs+nAI7QuNEGj6kLfsqw0oZUoPE+Zg4nQ2KG8sIafvfYUSvK8iuKH+I0alamKq2M6yCXMhicEtn1+NTSLxrax4it8a+T3aw2C+rSb/EFjirDiu7u7BfI4beXhV31qdnGZ/8rRJaj5KOuMLjbuPbDf1UIPP/TcQVYajVzflJ8tzjyzkWpMEdrAgPp8naX7xubnCUz5ivqC+W04VUdVG6QuPdnI+TwGgYdXqRLUmpYOTfzAc/Qec0fxA7xqhbBpxJzZQDFKPccwa43AjaGEVcyVCtqNnx96+DZfgF9t5v2vNggqHnVLT3eXT5ilwfNoWHo2fcUo1Y6+ftVHBcHYppZl6vFDD7/aIGwYdzZRhra+PYgMfZVv/qLADwisf2dlKmS6PXQMdS703DzyG1XEDws5OM31H9mhkBfW8O0YetaGGQTZWBsXn8ye7IW+m4MNT9EstKmqBBXkTFx06tK3NUKfSi0gzOZv6DFdD9y4eurgdJgnPQo6dxum1vrvaq1vaK2fAj4CfFZr/VPA7wP/hX3sY8BvnXfbSpQoUWI/XCbH9Z8HPi0ifx/4KvArR/nxUZ0JTFZo87rqK2ZsooDGVIXe7FwewjZdZb4ZuuxAolN3R3XYqlOfr3Ftx6jHNU+YDTzq80bKqcw0nZpdmWnSWKxzzZ7ETgea2UDRutZw32eZi2KMxNCyUm+tFVKdXcpPWMMatZbZzeu1gKpf2PeC0LRrwbh0LNfyIVbAwmzNfafqdbTy3K45XQuo2ZyQ9Zl5kkLSjsbcVWqt0NHJV5Jnlg+rVKaqTNlokuuRsYMtWOmpvlAjaNjMOn6AEpxUMNcMaUxV6M8uub6FDXO6Wq0HNKu+M1skqUbqTWqLxs2oda3JgnUGb2wOCBsBrWvGLF5fnEUaLddGVdAiqo2A2sySdX8xblq1Vsi0DRms+rnkpio1O3ZmbBbudgm3B07CbF1rUp037VWNKbTyCtKzT7Vu6gJjBxSrqTRm56g2QhqZRKkEROHZ6KjabJVZG811NU5JNCzZCJ3qbNWELNr5oAQ3P2cbISutkIGlZ1CfptKapW7HtVXQljTg1RounLSx2ODmet9JttOBR3PJzJXa/BRSrTt6Bp4wUw+o2flQK87PSpX6dJ2WlbzrgU2TXAgnrdpT+ysVj0GqnYS5UPWpTFVcGCjk0nOr4rHQqjCYMfPM89XY2vQKt26eFS6UYWqtPwd8zr5+FXjvedaf2T4qvmLRZuFZXmgQjxIXGrew0GB5pubueIEUsWFbtcVZpp+c5po9TFjoRoSNgOknp9332SSqL84y+8ws2uo7o25kVKDis7ZcMEz8ypSZGK3ZGsP+IoOmjVkOPaas6nl1pkot8JztRvtVKgvzTD1hfBkHm33nm6g8YerGFPWr5juvNQue7+yR01Wfq3Yid5ca+MFN157GVJXlhQaLduEFCrcAVKNFbXGG6SeNK8hNe0hSnTXPTt2YckxFQpNAuGXpuTxT49X5OnFkojWG/VmCivmuNVdjcariFoQGdFAnvGIia6aeXnIHLsP2CL/mM/O0iWKpX53Ha80ysjtp1VPM27Y3Z2qMhgmDht34Kj7T83WW7UKsB4UrXv0K4dwMU08suHGrPug5lXL6yWma103bpd5CK99txIutCvNzdQY2NDWs3HQhla25Gjfn6y7s0xMxm5cNj21cnWX2aRt7/cY2OtU0FuuWntNmM7ap7IQ809KNuRr3rzTQqYnFjqOUaj2gNWcZ1FTVbVZZm7P5MPvMLEmU0HSRPhVmnzFzrrY4i2rNktoOVHzF4lSVKbv5jobz9JuG8fqBYnq+zg1b51TFzrHM1DQzRXPZzIe5p7sE1h0NoLXcpLk8jdc0AoEuJO+erQY8uVB3h3Ohr7gxV2fa9j1QMnZT5VngMkmYx0KWfONIEqa5A9SdLO6MUu5Yp+bhRh92BvkNEush31mpMfqqGfw/ClPUgzcAiG/fYmfQod+0DrmVFL8C1aGxq7VeucPKpjk5/M2Xb9PtdxjUrJ+gn+BXNNWOebb+4i2CnT8AIJp+hfvdmDc3bKKOtQ7p9gDJ/OeUEHfM4t/uNPjiG3XuWFtTc7hJuvIqgweGefX8IaPpLL+hEOoejbvGqbnyhy/ASzu0xTDqWztD+rbOdL2H7uV+d+l2QL9T42t3baKO6SrT2qYiW32N4d01Ovb9YDZGJyl+zYxGvbND40/fBCDY+RzR9Eus9jJH6x7JWod4J8toHpNYBpm2Q1a2G3zhJUP7V1oh9dEWetWUFa+s07fXYiRehNIx4brpd+Urr6Hu/lui5jcAWOvFvGYDAfR6l7g9JLXMduQrks2Qe+uGDl/4do2XrM2y1lsnvf8awxXjUN5Pe8T1Ecozvw07Xeov3TZ96/4xydfusj4yTOX1rT6jBz3irN5hkk/QnZBOp85X3jR9W52qMBW3Se+/CsBwZZ0O1md11gQmVKpm7tQ2tml89TXUyu8Yeje+wt0dM1ZrWz3StS6p1WRIUiLfQ7fN/Li10eCzf2rG8Jt1n6B9l/iOmc/9dodBZUQylSXf0FR3TBtqL94i2Pkc8cwrpr3dmFe3+mjruB5vD8CemGtPkXYqbOyYer74Wp03WyH1vqFhevcletn8DPoMZ/J5Vgn61B9sUv/in5k23Ero102I5UonYnV7QGL9XocivPFGhdgKFl+vKJe67qzyYZahkSVKlChxSDzyEmaWfONoEqb1obP3Zm8PE1atX9h31rus9yLnxrFQD3lqpsZNK8EthRH+AyMFxG+8SHT7FfprZreM+yP8Wkj9qtkR/etv41NffR2Av/U3/hrRnVcYbphnk8EIv27UZ4DgiXfAtXeYds0+ye2diJdsmOIrmz0TIpiFOPqK5RkjmTw5W+O7FprcnLIpu4brqNVXiF43O3S0epfhllXtlKIy0yRYNqp28OQ7Sa68jQ1lVKk7OyO+s24khtvbA9Ztsg+A+WaFa1NVnp03UsMTUxXmUhO94629QvTatxjcNpLKYL1NGsXO/ad+bZHg5rMAqJvvJFp4hltWInp5o8/rm33uWCmsP4rdafXiVJUnZmo8N28kv+Wmz1S0jb9pJMzo9ssuya4edM2dPtOW9stPoReepN80qum9TsTrto7Xt/rcbw/pjzJ6eiy2KjxlafrMXI1lK2E2equotdeIb71kxvjBPaLuwJ3ihrOz+MtPmb5df5Z44RnuW9Pv61tDXt/scWfbfLDVGznzx3yzwpMzNZ61fbsxFTA92kStmHqi1/+MwW3Tz+FWB52kLtVa7fo1M1+uPwdAr3mNOx1Dz5fWe7y+1XdhtaM4pRb6XLd9e2q2xtutqny9GRBuvgH3X3H0jDceOB9IFfiE88YUEdx4G7L8LNH8U3auRLyy2Xc0vbM1oGOza4VWXX961rT32fk611sBza6JBOLut9387N/J5ycYW37t+jWCp77LfLD8LP3WdVfnm9t9NmzWJ0+ExWaFa6089eJxJcyPHzL5xiPPME+CjKihZy7BAnhiukYrzMnSrPjM1nx3oZMWhbaZ0b35ZUhTVMvESRNH4xdxzV91hvksH6Q3bRimjkZIpYqaMgtczS2RBPmFaBVfWLRG/yjVtEJ/7IqKzG6z2KxQD1TBhlmB5hz+1SfMs7UGwWLXlatqjTw3Zc0cUmQmrWboccOqN1Xf46q165rvfBbqgavXV7iUcrraxLtynarKmMjW2JUK3uwi3qyxO6b2Go6qZThLjZA01bSs3TJKtLMBTlcDFuqBo70SQXsBadXYff2lJ0zGczAXk/mBe09zDu2P0zPLAJ5oY1fLnMYDTzFd8R29K57KVS8vRBozeEtmk5FqHX80yA9cmjN53yoNKFwyNl8LiJKqs8H2oqpjmM3QZ7ER0sjcuKyNTxpm7viL112W/0p3x1zyZm3c3uwV1MwCib0ozFPiGEWWEX/OpiOMEnNFRTZuS43QXZUMoMM63oxlimmC15olzA77/MDZVNXcEol19wIIPcVio+JckJphkZ5CM/RZtjbjmvWXzC7586bm8C0962GVanbFC6DqU6Z/U8aumnihW6e1QFhu5fRU9uaBbC556mgZio6DUiUvUaJEiUPiLS1hZrtRUNihZ2v+mJtOxVfUAzV2hae2UpJqzpi7nes2wjNNkCB076Uxk4ef1afNs43s2dTcmWIlojRsQkEiClQu9S5bKTILMVNK3CnzTNVIYM5hV/nooIayUo+EVVTx0q6wilipIQ1r5pTceQvkiZIDpRgkedLkqqdoVjwn7QVKwJo0tF/Bm553USCqOWOSC2dJg1sz6Pq0fdackmdSTjP0WG7lJ+FRmjppuR54TFd996yIuRwrzRzbG7Oo0ErBscl2n9qLwXSlgfby9gcqvzhuoR5QDzyiJJcw64FymkXo5aet2gtIwwZqesHRL7vsLnuva1Oub6Y869TuC0vNiptPxauE64HHVNXLpSN7Sp6135tdzOnXtJfKVWy/6y102HRX0Rbp2Qp9aOH6kmjtLgvL6B0WxTAvRFesW9QcSLXhQi7FD52rW1qZAr/qwj59ZbwJlgquQxk9PXtJ35S9BaDqW8nPnpLrsOmkcglC9HDeNUcqVVRzxmlxFLwOqp4i9jV+PR/Xiqfy63zPIsX6BB55hnka+Uk8ySdcTY/fQR7YMLiiTSRTLXRQR5rgZfdSW4ap7QVOaVBzoQc6qEHd+PWZD8xd3WlWVlgzd4Zb+Eqo2MXUrJhFmNlVPRGX+bzimxsPMxavPR8dVF2EjijfpdUyPw7dwtZ+FS25+hkWNg5PhMbY/exC6Ilb4CLiGKQOqqRJAzWVzeyGUcmzm//CKml2qZXKVXrA1Zf1p3jhWeAJVU/GNisTnWLbX8nvOydMjbnEMhntV8fu0fbsDZS2N9T8/O5uXwm+yr8PiqrdLvQsRntpL0RnqqryjS9ldrOmr0hJUXYTSnVuY8/qy+adkqxvNpN+OE5PwN2ImQY1dFB5aL4Atg++8yVNUu36Z9okY2GtZkOwjFiniBfmEVyi8vk5UV/gmXvHs5shQ085enr2Fs6Mnr4SBNzvdVBBakZw8IKQdJgnqhY/hErdrSFEOZqFnlALFJ7deETMWGXzY69wyNPEI88wTwK3JpS4604r3nics6/MQLlJlpLvlME4EwBr47SSjQ6q5vpU+9pUll0fmpoJZBeI9qvg5eUUmTgYCTdjmIK4cLHQM4shj/NWaL9Caie9iJjbIV37JG+LXeBi2xh44jYgJbgrSw2NzOTMGN2YUV35+QQHs+gsLbI+Z3Vmiyajp6+0WcS2vETn0rInYuu0CyKrK5McdTV3nteGYbqx8SsgyjG+bBwzJCmk5OV6KmdexTgALQrxQnQQu/ZLmqeNw/PzDSjrW0Fz0V7OQHUhHtz3ZIyeAqCU24zxY6eduA1Ccolee2HuByu5c3fWhyBzi0Nc/7I2jY+dcnNShyk6CfINQZSbkw/PTyNI2Nsj9qWn24Cy9nuhk6RF+eaGSJ0nWDGbum2TiPvOCAoyxhQDL+/P2cuXpQ2zRIkSJQ6Nt6aEKWpMrRIYU/uKyX6UmN1SCr/NpQsrDRQz+yiVJyjwwjwbgBca6S3N76Yek4i8oJDYwJwABhPtyCQ+Jbm9xlcT0l5WZiY1iBqvU/l5nYXQOjBlFiWeROffCXY3L6g/TrpTRm11KrrNMu8kJC9vT/aZy0BTuOUPbIINcptlUSLK7YqWTjp16ca0k1CyW7D8vH5Lz6LkmEzYuzyVq7UPjbfycvuyjIx2kJVdGMNMAhM3NhoK2sCYxC6GnsEEPcVpLzk9Sbyx8jMpzH3PuMfHXv0zbZpQyZUPBVsvKh6XMIvzs0BPsesiM3rsVl8+tlnZ9vfZfMnqSIsamhitK6NpoU5PCT7jkqSnxufkWeOtyTAnkDFFsBp3wTAqljm5wdDkg6ltjufCoI5NsgIj1cpDCMeY4tgzEwvcTEj3zjLMvL1Fc4Iqtk+UYShOJVfjdY4x/Ewlt28FN+uUgFegQ8akdzOsa+Uh2s99YTMmJvkCcX1TymWLytofAMqu0fE6DbMZY9KF8vH8gg07T43n6hbljNyeQOoWrmHCWb4AZa9kdcwLxsc7Y5pgxrDY+cJ3Lm49I68SQCP6YZpl9JwM5XP1FOj5EPNQPlp5+YZFzqSNKQeSzIKktetf9v2YWllUuynQdqI9ePlGm9FoTMiYoKen8k1QRMZNNHa+AEalL9qEs3Er9jlTyZUiFSnuE67s80LJMLETzr72RMZS3ZvcjbvbR7SIkQgmGKZjSKqwH2aLu7h4sslBYaIAaGsHcuWYRacnGLlpLw+ntJpYBPvWWfyZCF4hBKAouYpkbcq+Ha/PbAgZXSYsPXaBj/2ErP2m4Mx6qgslG/69S0KFQvvFm9iAipJfoR6RXNIj1WiBrMVZPY6mk4dMSpEtlYcOGYvjBkbqpSBFq/EN2P3MbUB79K1Az0lo5Y3XSVFLMD0SNU7P4gYrExPGMV7PN6/HJMy954qgHdNMtR6rSxX69pDkp3zcZBbltIMiDfI1VBAibP+SAmWUjGtBZ43ShlmiRIkSh8RjJWEeeYcp7KTFXVDLpJQz8Tu36/lmd9xDgivujk4aStOxciYlIleM3cHBSEKCHq/G/vfUuASWqVVFqeGgOrP+mYsXrGo3IUuJVfvHaDGmZqvMLRPR433RIg9JtcU6tWYXItui4SG1tVj/rhJf8X9WjlDISm9toZmQI/vXY2yL2btxt6KiFDZJT/vhrpdzPURPnY6XVaDnwz+2z8m49JWV66Fze2+hjzBhbsjKysbGdWF83hafy77Jxi0zc3giB9OzMF+0dUdCy77zZRLnYafcD48VwzwNFG2F2XuBh+0s2DGdvFJkUo0p2hZh/ETJFcK+CzwVUBPLuLgAJlWsyUWwb50Tiy63hQqpHp+gY7Xsoka5r0gf+mzM8FQoS7BqYnbtix43h8A+bdhjURXhvMF0rmqLtvVkqtxEPfv68yk1PubFDWiijW5T2MOhumgKevjLXfomuzCyybqwrkSOe00UUWhL0e49Vq7eZfx2aY9hzvZ3BXpm3xXpuW9fJhfRXmYje8g3Wd558tBSJS9RokSJQ6KUMC2cZsQRxX6lmNx39lKz95UadlEvneRjd+8xwabwzK4S0SGkr0lMSteTBxJ7SV5OZd1N2j5knUXJdhKTEtu+2KfOsXIm6tm36MLYiE4fkpb3q2+Sphn26su+2ssh6nV17tGjA+dKZhqY/G4XKbrYh2J9ux7CTGhorrjUlj0p1e7T1+JaPW8N/a3LMIuDVJgkuw7ApPqZfZz9Zhd1fd/6ip/tgzy4SNBaj7Hlh9Tw3eo7JHbbLIouTJPP7Ylsku+y0CdVK1emVbH2u8hxX0bpPAvSXfu8G7M9iIGNmWAmxkyL2n+8J+ybu9rAC+3aqx7TqN3H0HlU7NLfhzagverNypr87IjzZsIsPPbdfqfX4xvDxNjttzEctFbPGBdxze5N4J8CVzFL6xNa6/9dROaA3wCeAl4H/rrWevPcGrab3WYvFBcpuyya40iYkx8zPhn3kxgmMbYIdmPUB9S9W7kPLfDJOouM5JASWLHs/ZjioRbGbn2ZWFx7Le6H6tiLXtnXh2Uqtv49279PPWNO4kVH+T1Q3PSK74+EA+oo7jMZY96rngM3ucLa2XXojqEhnQcuolUx8N9ord8JvA/42yLy3cAvAL+ntX4W+D37vkSJEiUuDc5dwtRa3wPu2dc7IvIicB34MPDD9rFfw1yO9vPn3T4nlRwgZQAPP7frrnj0vX43FfVEEth+Nqo9yjnQPnQY+mSP7ictHCSFHbbevTSEwucH1lEse6/XB/1+0h530G8PUfaeGsxkvRYnMnEcAQfZZ/e0le5i5tgTe2kO+31/hrhQG6aIPAV8L/BFYMkyU7TW90Rk8cIadgRmcKIBO6Katd8zk9hTNTtke49iy3VfH4UW+zGVPeydh2rPQYzzKG07KQ4y8xy1nkPQNzM9HIUpnkSNPzbz3YN5XnZcGMMUkSbwL4Gf01q3DzzEyH/3ceDjADdv3jzg6YMKO6NBK0zsd3/P9xz4zIHF2f96l8/ODfvR6LAS+V7lHpW5Haauo9ik9yv3qP06Tn8Og8PYw0+I/bSKo+adPfT83G0NHnXMzlHKlKKj8LlVKhIA/xr4Ha31P7CffRv4YStdLgOf01o/t185f+H55/UX/vAP83KP26DTlj6OcnBULLrwejdV5zAM88yceif7fdD7/XDSxX9WGsBpMMyj1nnY+g6i2Zgj+PFxZgzzIBPHYRjmUT8/Amr1+p9ord9z0HPnfugjRpT8FeDFjFlafAb4mH39MeC3zrttlwl7neTuGx2yC068Her07NWmrI797JMHPXOYsg/62+13J+nPcVB0GdrHfWiBC+guAAAJlklEQVTfIo5XM2Dmy25/p1r/Xt4ix+jrYXGcfuyGi1DJ3w98FHhBRL5mP/vvgf8J+H9E5KeBN4G/dgFtOzkOGvBL6i5xYhxFLd9PjboMNq3zsmGWODmO4Ap1GriIU/IvsPcm9MHzbEuJEiVKHAWPTaTPuR2CHNMR/DiYjLo5zLO74dinoJdB2jsPnIfJAU5vfhzytBxOX8I6TJ2He/iQnhCTz14wHhuGeSIc9ZT3uAN4zN8d5Fd3WJxq7O1J3IHOCpedwZ/0RPcSMY5TxW7z5hT6utuSOVEkFG8RhnkRQfqnjYNioc8EB20k+7llXcTiPkrI4kXgrJjlJWCkhzroOS0PkwvE5W5diRIlSlwiPNYS5vl7mO6CM9gxJ6XNo0Z1HMvWdFaO6xeBg8bkNPty1PE/yvOXSBo71Lx6RKN7inisGWYRBw7oWQzmESb0cZn7cULTjmXHOax6PlbRI7owzpMRHaeuQ/zmUggLe+G0bN0nGKfjmukeeYZ52E6fiw3zGAN4kRP72NKmK+DROd08Ms6C2Z/zYeF549gb8Vghl3uTfTRGokSJEiUuAR55CXMvHFtyO4o97oQ7/2VQm06U0OMyR+ucFBcl1T0mc+rYGt0pmnaKSaN3w3Ek4seWYZ4IZ7hYLsOE3gun5n71iKiQp4KTxIyfVhNOraTTw6lm1joBrQ7jwH8U+r2FZnaJEiVKnAxvCQnzMjitX0YpYDecNBLiLYdLIE0fpHpeNC7DnDotGj3SDHO/0Ce4+EV/mSdxERdNpxInx+T1IpcRF702T4NpPtIMcz9cxIBc1ok6iZJBHg1HGdfLQNv92nBZ5uhFMc+TJiW5eH2iRIkSJR4RPHYS5lnvVpdlhz4sLoPE86jjKBLbac2Psxq3c83Wf0r1nAUtjqueP3YM86QoGWKJo+Co9D/s/DrpPDyNeXHcMk57DZ2VSeQtFxp50rtLLjNKRvh44ryY0GnM72PfoHvCek/S9uNcSX0UlDbMEiVKlDgkLh3DFJEfFZFvi8jLIvILp1XuSW7BO03IIf9KnD/2ujHxsH9nicPOm9OcSyelx3HpclZ9PY2xulQquYh4wD8C/gpwG/iSiHxGa/2nJyn30t5rUuJS4TBjd1ohdsep+yLKPo21c5722NO6V30vXDYJ873Ay1rrV7XWI+DTwIcvuE0lSpQoAVwyCRO4DtwqvL8NfH/xARH5OPBxgJs3bx5q5zjPHfbcrts5p3ouEpf9YO40cdS+ntf4XwY3vbM4yDnu3LpsDHO3/o/1TWv9CeATACKyVq/Xu8CDc2jbQVjgcrQDLk9bynY8jMvSlsvSDrgcbXnyMA9dNoZ5G7hZeH8DuLvXw1rrKyLyZa31e868ZQfgsrQDLk9bynY8jMvSlsvSDrhcbTkIl82G+SXgWRF5WkRC4CPAZy64TSVKlCgBXDIJU2sdi8jPAr8DeMCvaq2/dcHNKlGiRAngkjFMAK31bwO/fYSffOKs2nJEXJZ2wOVpS9mOh3FZ2nJZ2gGXqy37QrR+K51FlihRosTxcdlsmCVKlChxafHIMsyzCqE8ZN03ReT3ReRFEfmWiPwd+/nfE5E7IvI1+/ehc2jL6yLygq3vy/azORH5NyLykv0/e8ZteK7Q56+JSFtEfu686CEivyoiqyLyzcJnu9JADP4PO2++ISLPn3E7/hcR+TNb178SkRn7+VMi0i/Q5pdPqx37tGXP8RCRv2tp8m0R+Y/PuB2/UWjD6yLyNfv5mdLkVKC1fuT+MAdCrwDPACHwdeC7z7H+ZeB5+7oFfAf4buDvAf/tOdPidWBh4rP/GfgF+/oXgF8657G5j/FrOxd6AD8EPA988yAaAB8C/l+Mz+/7gC+ecTt+BPDt618qtOOp4nPnRJNdx8PO3a8DFeBpu7a8s2rHxPf/K/A/nAdNTuPvUZUwLzSEUmt9T2v9Fft6B3gRE6V0WfBh4Nfs618DfvIc6/4g8IrW+o3zqlBr/QfAxsTHe9Hgw8A/1QZ/BMyIyPJZtUNr/bta69i+/SOMb/GZYw+a7IUPA5/WWg+11q8BL2PW2Jm2Q0QE+OvAPzuNus4DjyrD3C2E8kIYlog8BXwv8EX70c9a9etXz1oVttDA74rIn9iwUYAlrfU9MMwdWDyHdmT4COML4LzpkWEvGlzk3PkvMdJthqdF5Ksi8nkR+cFzasNu43FRNPlBYEVr/VLhs4ugyaHxqDLMA0Moz6URIk3gXwI/p7VuA/8YeBvw54F7GHXjrPF+rfXzwI8Bf1tEfugc6twVNtjgJ4B/bj+6CHochAuZOyLyi0AM/Lr96B7whNb6e4H/GviUiEydcTP2Go+LWk9/g/HN9SJociQ8qgzzSCGUZwERCTDM8te11r8JoLVe0VonWusU+CecklqzH7TWd+3/VeBf2TpXMjXT/l8963ZY/BjwFa31im3TudOjgL1ocO5zR0Q+Bvw48FPaGuus+rtuX/8Jxm74jrNsxz7jcRE08YH/DPiNQvvOnSZHxaPKMC80hNLaXn4FeFFr/Q8KnxdtYf8p8M3J355yOxoi0speYw4YvomhxcfsYx8Dfuss21HAmMRw3vSYwF40+AzwN+1p+fuA7Ux1PwuIyI8CPw/8hNa6V/j8ipj8r4jIM8CzwKtn1Q5bz17j8RngIyJSEZGnbVv++CzbAvxl4M+01rcL7Tt3mhwZF33qdNw/zGnndzC70C+ec91/EaOyfAP4mv37EPBJ4AX7+WeA5TNuxzOY082vA9/K6ADMA78HvGT/z50DTerAOjBd+Oxc6IFh0veACCMt/fReNMCon//IzpsXgPeccTtextgHs3nyy/bZ/9yO2deBrwD/yTnQZM/xAH7R0uTbwI+dZTvs5/838F9NPHumNDmNvzLSp0SJEiUOiUdVJS9RokSJc0fJMEuUKFHikCgZZokSJUocEiXDLFGiRIlDomSYJUqUKHFIlAyzRIkSJQ6JkmGWKFGixCFRMswSjyVE5PtskomqjYj6loj8BxfdrhKPNkrH9RKPLUTk7wNVoAbc1lr/jxfcpBKPOEqGWeKxhc0z8CVgAPyHWuvkgptU4hFHqZKXeJwxBzQxWfGrF9yWEo8BSgmzxGMLEfkMJhv/05hEEz97wU0q8Yjj0t1LXqLEaUBE/iYQa60/ZVOG/TsR+YDW+rMX3bYSjy5KCbNEiRIlDonShlmiRIkSh0TJMEuUKFHikCgZZokSJUocEiXDLFGiRIlDomSYJUqUKHFIlAyzRIkSJQ6JkmGWKFGixCFRMswSJUqUOCT+f7nIyvai+jVdAAAAAElFTkSuQmCC\n", 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# We use a helpful Scikit tool to draw the ring permittivity\n", "from skimage.draw import circle\n", "\n", "rr, cc = circle(100, 87, 38)\n", "epsr[rr,cc] = 12\n", "rr, cc = circle(100, 87, 30)\n", "epsr[rr,cc] = 1\n", "\n", "# Create a source in the waveguide\n", "src_y = np.arange(20,60)\n", "src_x = 30 * np.ones(src_y.shape, dtype=int)\n", "source = ceviche.modes.insert_mode(omega, dl, src_x, src_y, epsr)\n", "\n", "# Run the simulations\n", "simulation = ceviche.fdfd_ez(omega, dl, epsr, [Npml, Npml])\n", "Hx, Hy, Ez = simulation.solve(source)\n", "\n", "# Visualize the field and source\n", "ax = ceviche.viz.real(Ez, outline=epsr, cbar=False, cmap='RdBu_r')\n", "ax.plot(src_x,src_y,'k')\n", "\n", "# Visualize the absolute value of the field\n", "ax = ceviche.viz.abs(Ez, outline=epsr, cbar=False)\n", "ax.plot(src_x,src_y,'w')\n", "\n", "# Visualize the Poynting vector in the x-direction\n", "Sx = -0.5 * np.real(Ez * np.conj(Hy))\n", "Sy = 0.5 * np.real(Ez * np.conj(Hx))\n", "ax = ceviche.viz.real(Sx, outline=epsr, cbar=False, cmap='RdBu_r')\n", "ax.plot(src_x,src_y,'k')\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.3" } }, "nbformat": 4, "nbformat_minor": 4 }