{ "cells": [ { "cell_type": "markdown", "id": "36ff66e5", "metadata": {}, "source": [ "# Broadband directional coupler " ] }, { "cell_type": "markdown", "id": "05954108", "metadata": {}, "source": [ "In the rapidly evolving field of silicon integrated photonics, the directional coupler (DC) stands out as a crucial building block for a multitude of applications, such as optical signal processing, sensing, and communication systems. As a passive device, a DC allows for the precise manipulation and distribution of light between two parallel waveguides within close proximity, enabling highly efficient and compact coupling with minimal loss. This elegant, yet simple structure capitalizes on the waveguiding properties of silicon, leveraging the evanescent coupling between the propagating modes to achieve precise control over the flow of optical power, thereby playing a pivotal role in shaping the future of photonic integrated circuits.\n", "\n", "Conventional compact DCs often face limitations in terms of narrow bandwidth, while broadband designs tend to require a significantly larger footprint. This document explores a design for compact, broadband DCs, as proposed in `Zeqin Lu, Han Yun, Yun Wang, Zhitian Chen, Fan Zhang, Nicolas A. F. Jaeger, and Lukas Chrostowski, \"Broadband silicon photonic directional coupler using asymmetric-waveguide based phase control,\" Opt. Express 23, 3795-3808 (2015)`[DOI: 10.1364/OE.23.003795](https://doi.org/10.1364/OE.23.003795). The key innovation in this design, as compared to traditional DCs, lies in its incorporation of an asymmetric-waveguide-based phase control section. To demonstrate a concrete example, we will design a 2x2 DC for the TE mode, with a 50%/50% (-3 dB) splitting ratio, operating within the 1500 nm to 1600 nm range. Different polarizations and splitting ratios can be achieved in a similar design process.\n", "\n", "Initially, we employ the transfer matrix method (TMM) to model the DC in a semi-analytical manner. TMM necessitates the calculation of effective indices for various waveguide configurations, for which we utilize Tidy3D's [waveguide plugin](../notebooks/WaveguidePluginDemonstration.html), as it offers a convenient means of performing mode analysis. TMM provides a computationally efficient and accurate preliminary estimation of the ideal design parameters, which are then further optimized using rigorous 3D FDTD simulations. \n", "\n", "" ] }, { "cell_type": "code", "execution_count": 1, "id": "2dccd831", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import gdstk\n", "\n", "import tidy3d as td\n", "import tidy3d.web as web\n", "from tidy3d.plugins import waveguide" ] }, { "cell_type": "markdown", "id": "e767be29", "metadata": {}, "source": [ "## Transfer Matrix Method (TMM) Analysis " ] }, { "cell_type": "markdown", "id": "41c9cdc2", "metadata": {}, "source": [ "The broadband DC primarily consists of a symmetric coupler, an asymmetric phase control section, and another symmetric coupler. The three sections are connected via linear tapers. The inputs and outputs are from 90 degree circular bends. \n", "\n", "We can use TMM to analyze this system. Assuming the input and output fields on the waveguide are $E_1$, $E_2$, $E_3$, and $E_4$, each section of the DC can be represented by a matrix. That is, we can write down the following equation that connects the input and output fields:\n", "\n", "$\\begin{bmatrix}E_3\\\\E_4\\end{bmatrix} = C \\cdot P_t \\cdot P \\cdot P_t \\cdot C \\cdot \\begin{bmatrix} E_1\\\\E_2 \\end{bmatrix}$.\n", "\n", "$C =\\begin{bmatrix}t & -jk\\\\-jk & t\\end{bmatrix} e^{-j\\frac{\\pi}{\\lambda}(n_++n_-)L_1}$ represents the symmetric coupler. $t$ and $k$ are the transmission and coupling coefficients given by $t = cos(\\frac{\\pi\\Delta n_{eff}}{\\lambda}L_1) $ and $k = sin(\\frac{\\pi\\Delta n_{eff}}{\\lambda}L_1) $, where $\\Delta n_{eff}=n_+-n_-$. $n_+$ and $n_-$ are the effective indices of the symmetric and anti-symmetric modes, which we will determine from mode analysis using the [waveguide plugin](../_autosummary/tidy3d.plugins.waveguide.RectangularDielectric.html). \n", "\n", "$P = \\begin{bmatrix}e^{-j\\frac{2\\pi n_1}{\\lambda}L_2} & 0\\\\0 & e^{-j\\frac{2\\pi n_2}{\\lambda}L_2}\\end{bmatrix}$ represents the asymmetric phase control section. Here $n_1$ and $n_2$ are the effective indices of the lowest order modes, which correspond to modes confined in the top waveguide and bottom waveguide, respectively. We will determine $n_1$ and $n_2$ from mode analysis too.\n", "\n", "Lastly, $P_t = \\begin{bmatrix}e^{-j\\theta_{t1}} & 0\\\\0 & e^{-j\\theta_{t2}}\\end{bmatrix}$ approximately represents the linear tapers. $\\theta_{t1}$ and $\\theta_{t2}$ are the phase shifts in the top and bottom tapers, which we will determine numerically from quick FDTD simulations. \n", "\n", "In the [reference](https://opg.optica.org/oe/fulltext.cfm?uri=oe-23-3-3795), a small propagation loss of 2.7 dB/cm is also considered. Since this is a small factor, we choose to ignore it in the analysis without a significant loss of accuracy. \n", "\n", "After we perform the TMM calculation, we can determine the power splitting ratio by $\\eta_{cross} = \\frac{|E_4|^2}{|E_3|^2+|E_4|^2}$ and $\\eta_{through} = \\frac{|E_3|^2}{|E_3|^2+|E_4|^2}$, assuming the input field is $\\begin{bmatrix}E_1\\\\0\\end{bmatrix}$.\n", "\n", "\n", "" ] }, { "cell_type": "markdown", "id": "bc4c6b5f", "metadata": {}, "source": [ "We are interested in the wavelength range of 1500 nm to 1600 nm. " ] }, { "cell_type": "code", "execution_count": 2, "id": "41aad3b8", "metadata": {}, "outputs": [], "source": [ "lda0 = 1.55 # central wavelength\n", "ldas = np.linspace(1.5, 1.6, 101) # wavelength range of interest\n", "freq0 = td.C_0 / lda0 # central frequency\n", "freqs = td.C_0 / ldas # frequency range of interest\n", "fwidth = 0.4 * (np.max(freqs) - np.min(freqs)) # frequency width of the source" ] }, { "cell_type": "markdown", "id": "a027789e", "metadata": {}, "source": [ "The silicon layer is 220 nm. The waveguide width and gap size in the symmetric coupler are 500 nm and 200 nm, respectively. " ] }, { "cell_type": "code", "execution_count": 3, "id": "8cc7ec56", "metadata": {}, "outputs": [], "source": [ "w_sc = 0.5 # width of waveguides in the symmetric coupler section\n", "h_si = 0.22 # thickness of the silicon layer\n", "gap_sc = 0.2 # gap size between the waveguides in the symmetric coupler section" ] }, { "cell_type": "markdown", "id": "60f8be20", "metadata": {}, "source": [ "To define the media, we directly use the dispersive medium model of silicon and oxide from Tidy3D's [material library](../material_library.html) for convenience. " ] }, { "cell_type": "code", "execution_count": 4, "id": "de4b86dc", "metadata": {}, "outputs": [], "source": [ "# define silicon and silicon dioxide media from material library\n", "si = td.material_library[\"cSi\"][\"Li1993_293K\"]\n", "sio2 = td.material_library[\"SiO2\"][\"Horiba\"]" ] }, { "cell_type": "markdown", "id": "7fdf1ec5", "metadata": {}, "source": [ "Now we use the [waveguide plugin](../_autosummary/tidy3d.plugins.waveguide.RectangularDielectric.html) to perform the mode analysis on the symmetric coupler. Alternatively, one can use the [ModeSolver](../_autosummary/tidy3d.plugins.mode.ModeSolver.html) plugin to do the same analysis. The [waveguide plugin](../_autosummary/tidy3d.plugins.waveguide.RectangularDielectric.html) just provides a fast and convenient way of setting up the mode analysis for dielectric waveguides. " ] }, { "cell_type": "code", "execution_count": 5, "id": "64f4ad0c", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# define the symmetric coupler section\n", "symmetric_coupler = waveguide.RectangularDielectric(\n", " wavelength=lda0,\n", " core_width=(w_sc, w_sc),\n", " core_thickness=h_si,\n", " core_medium=si,\n", " clad_medium=sio2,\n", " gap=gap_sc,\n", " grid_resolution=40,\n", " mode_spec=td.ModeSpec(num_modes=5, precision=\"double\"),\n", ")\n", "\n", "# plot the cross section\n", "symmetric_coupler.plot_structures(x=0)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "25d4c6bd", "metadata": {}, "source": [ "The effective indices of different modes can be directly calculated. The corresponding mode profiles can be visualized. Here we focus on the two lowest order modes, which are the symmetric and anti-symmetric modes." ] }, { "cell_type": "code", "execution_count": 6, "id": "f6ac9551", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Effective indices: 2.4591626285321264, 2.438215232515221\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# compute the effective indices for the symmetric and anti-symmetric modes\n", "n_p = symmetric_coupler.n_eff.values[0][0]\n", "n_m = symmetric_coupler.n_eff.values[0][1]\n", "del_n = n_p - n_m\n", "print(f\"Effective indices: {n_p}, {n_m}\")\n", "\n", "# plot the mode profiles\n", "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 4), tight_layout=True)\n", "\n", "symmetric_coupler.plot_field(\"Ey\", mode_index=0, ax=ax1)\n", "symmetric_coupler.plot_field(\"Ey\", mode_index=1, ax=ax2)" ] }, { "cell_type": "markdown", "id": "b2b25d5e", "metadata": {}, "source": [ "After obtaining $n_+$ and $n_-$, we will calculate $n_1$ and $n_2$ in a similar fashion for the phase control section, where the waveguide widths are 600 nm and 400 nm. The gap is 300 nm." ] }, { "cell_type": "code", "execution_count": 7, "id": "95794c46", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "w_top = 0.6 # width of the top waveguide in the phase control section\n", "w_bottom = 0.4 # width of the bottom waveguide in the phase control section\n", "gap_pc = 0.3 # gap size in the phase control section\n", "\n", "# define the phase control section\n", "phase_control = waveguide.RectangularDielectric(\n", " wavelength=lda0,\n", " core_width=(w_top, w_bottom),\n", " core_thickness=h_si,\n", " core_medium=si,\n", " clad_medium=sio2,\n", " gap=gap_pc,\n", " grid_resolution=40,\n", " mode_spec=td.ModeSpec(num_modes=2, precision=\"double\"),\n", ")\n", "\n", "# plot the cross section\n", "phase_control.plot_structures(x=0)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 8, "id": "a91d6a5d", "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Effective indices: 2.5682454486532205, 2.217684204006945\n" ] }, { "data": { "image/png": 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KygIAfPDBBwCAU045JeaY0aNHQ5ZlfPDBB/jJT37S6Lk++OADnHDCCTGBGQBOO+00AHqJmtHmSCQS9z4ejwcjR44020HJkSQJksKebiKnMF4zXjeG8ZpaS1KU5GM2y8vjCaJGTJs2TciyLN5777245zRNE0IIsXbtWgFAnHHGGSISiZjPHzx4UHg8HjFx4kShqqq5/+GHHxYAxJo1a4QQQnzwwQcCgHj22WcbbceyZcsEAHHo0KFWtb8lr/vTn/4kZFkWb7zxRsz+1atXCwDirbfeEkII8emnnwpZlsV//dd/xXweIeq/CyGEGDp0qDj77LPj3mfz5s0CgNi8ebMQQohQKCR69Oghhg0bJmpra83jXnrpJQFALFiwwNw3ffp0AUAsXrw45pyjRo0So0ePbvpLEELU1NTE7fuf//kfkZWVJerq6sx9F154oejbt2+z5zMcOHBA5Ofni/POO08Eg0ExatQo0adPH1FRURFzXN++fQWAZreFCxear5k9e7ZQFCXh+xYUFIjLL7+8ybYNHTpUnHPOOXH7d+3aJQCI1atXCyGEePbZZwUA8frrr8cdO3XqVFFUVNTc10DNuPfee0VW/7Giz1VPJr0BEF9++WWqPxJR2mG8ZrxuCuM1tZTP5xM9L30g6XgdGHmpuOqqq1L9cdIKb0NQQpqm4YUXXsBFF10Ud1cRiB+rMWvWLCiWu2KvvfYaQqEQbrrpJsiyHHNcXl6eWW4UCAQAAK+++ipqamoStsW4g/ziiy9C07QWf4aWvO7ZZ5/FkCFDMHjwYHz77bfmds455wDQy6YA4IUXXoCmaViwYEHM5wHaNm7l/fffx8GDB3H99dfHjB278MILMXjw4ITlWNdee23M4zPPPBP/+c9/mn0vv99v/nzs2DF8++23OPPMM1FTU4Pdu3e3uu2GoqIirFixAhs2bMCZZ56J0tJSrFmzJu5u9ZNPPokNGzY0u02bNs18TW1tbUzPjJXP50NtbW2TbautrYXX6034WuN565+NHdvc+xARpRrjNeN1cxiviVKP5eWU0KFDh1BZWYlhw4a16Ph+/frFPP7yyy8BAIMGDYrZ7/F40L9/f/P5fv36Yc6cOXjwwQfx5JNP4swzz8TFF1+Mn/zkJ2aA/9GPfoQ//vGPuPrqqzFv3jyce+65uPTSS/HDH/4wLqBateR1n376KT7++GMUFBQkPMfBgwcBAJ9//jlkWcaJJ57You+jOY19PwAwePDguBk7fT5fXBu7du2KI0eONPteu3btwh133IFNmzahsrIy5jnrOLy2uPzyy/HEE0/g5ZdfxjXXXINzzz037pjvf//7rT6v3+83xyE2VFdXF3Nh0tjrE43xq6urM5+3/tnYsc29D7UQJ1IjcgzjtY7xummM19RSkg0TqbG8PB6TbrJFMr/sHnjgAcyYMQMvvvgi1q9fj5///OdYsmQJtm/fjl69esHv9+P111/H5s2b8fLLL+OVV17BM888g3POOQfr16+PuWPfsE3NvU7TNAwfPhwPPvhgwnP07t27zZ/LTo19xuYcPXoUZ599NvLy8rB48WIMGDAAPp8P//rXv3Dbbbe1qicike+++w7vv/8+AODf//43NE2Lu7A6dOhQi8aI5eTkmOPSevbsCVVVcfDgQfTo0cM8JhQK4bvvvkNxcXGT5+rZs2fcBDcAcODAAQAwX9+zZ8+Y/Q2Pbe59qGUkMOkmSheM185ivNYxXmcuO5bplJh0x+E3QgkVFBQgLy8PH330UZte37dvXwDAnj17YvaHQiF88cUX5vOG4cOH44477sDrr7+ON954A/v378fq1avN52VZxrnnnosHH3wQ//73v3HPPfdg06ZNZjlZY5p73YABA3D48GGce+65mDBhQtxm3NkeMGAANE3Dv//97ybfr6Wla419P8a+ht9PW23ZsgXfffcd1q1bh1/84hf4wQ9+gAkTJiRcvqMtZXezZ8/GsWPHsGTJErz55psJ1w099dRT0bNnz2a3+++/33zNyJEjAcC8QDC8//770DTNfL4xI0eOxCeffBLXU/DOO+/EnH/YsGFwuVxx7xMKhVBaWtrs+1DLSBIgy1LSGxHFY7xmvG4JxmtqKTviNVcMi8ekmxKSZRlTpkzB3//+97hfcAAghGjy9RMmTIDH48Fvf/vbmGMfffRRVFRU4MILLwSgLwERiURiXjt8+HDIsmyWEB0+fDju/MYv10RlRoaWvO6///u/sX//fvzhD3+IO7a2ttac2XXKlCmQZRmLFy+Ou9ts/XzZ2dlxS6wkcsopp6BHjx5YvXp1zGf45z//iY8//tj8fpJl3HG3tjEUCmHlypVxx2ZnZ7eqfO25557DM888g3vvvRfz5s3D5ZdfjjvuuAOffPJJzHFtGSN2zjnnID8/H6tWrYo516pVq5CVlRXz/Xz77bfYvXt3zBjDH/7wh1BVFY888oi5LxgMYu3atRgzZozZIxIIBDBhwgQ88cQTOHbsmHnsn/70J1RVVWHq1Kkt/j6IiFKB8ZrxujmM10Spx/JyatSvf/1rrF+/Hmeffba5PMeBAwfw7LPP4s0334xZIqOhgoICzJ8/H4sWLcLkyZNx8cUXY8+ePVi5ciVOPfVUc/mITZs24YYbbsDUqVNxwgknIBKJ4E9/+hMURcFll10GAFi8eDFef/11XHjhhejbty8OHjyIlStXolevXjjjjDMabUNLXvfTn/4Uf/7zn3Httddi8+bN+P73vw9VVbF79278+c9/xquvvopTTjkFAwcOxO2334677roLZ555Ji699FJ4vV689957KC4uxpIlSwDoS2SsWrUKd999NwYOHIgePXqYk7xYud1uLF26FFdddRXOPvts/PjHPzaXIDn++ONx8803t/WvLcbYsWPRtWtXTJ8+HT//+c8hSRL+9Kc/JbwIGz16NJ555hnMmTMHp556KnJycnDRRRclPO/Bgwdx3XXXYfz48bjhhhsAAA8//DA2b96MGTNm4M033zTL1to6Ruyuu+7C7NmzMXXqVEyaNAlvvPEGnnjiCdxzzz3Iz883j3344YexaNEibN682VxndcyYMZg6dSrmz5+PgwcPYuDAgXjsscewd+9ePProozHvdc8992Ds2LHmv/Ovv/4aDzzwACZOnIjJkye3uu2UgCRBauee6lWrVmHVqlXYu3cvAGDo0KFYsGABzj//fAD6GMC5c+fi6aefRjAYxKRJk7By5comlw0iSleM14zXjNeM17aRkHzMZld3vFRNm06Z4csvvxTTpk0TBQUFwuv1iv79+4vZs2eLYDAohKhfgiTRMiVC6EuODB48WLjdblFYWCiuu+46ceTIEfP5//znP+JnP/uZGDBggPD5fCI/P1+MHz9evPbaa+YxGzduFJdccokoLi4WHo9HFBcXix//+Mfik08+abLtLX1dKBQSS5cuFUOHDhVer1d07dpVjB49WixatChuOY01a9aIUaNGmcedffbZYsOGDebzZWVl4sILLxS5ubkCgLkcScMlSAzPPPOMeb78/Hxx5ZVXiq+//jrmmOnTp4vs7Oy4z7dw4ULRkv/Cb731ljj99NOF3+8XxcXF4tZbbxWvvvpqXHuqqqrEFVdcIbp06SIANLkcyaWXXipyc3PF3r17Y/a/+OKLAoBYunRps+1qiUceeUQMGjRIeDweMWDAALFs2bKYJV+EqP8eGn63tbW14pe//KUoKioSXq9XnHrqqeKVV15J+D5vvPGGGDt2rPD5fKKgoEDMnj1bVFZW2vIZOrt7771X5HzvTDHw+r8mvaEVS4b97W9/Ey+//LL45JNPxJ49e8SvfvUr4Xa7xUcffSSEEOLaa68VvXv3Fhs3bhTvv/++OP3008XYsWOd/CqIHMV4zXidCOM1tYbP5xN9rng46Xidf+qPuGRYA5IQzdQdERERtdHSpUtxz5p/oOfE5HuDPnn4v/Dll1+iT58+bXp9fn4+7rvvPvzwhz9EQUEBnnrqKfzwhz8EAOzevRtDhgzBtm3bcPrppyfdViIiokzj9/tR9MMH4OmS3MR03737DC4e6seaNWtsalnm45huIiLKGMFgEJWVlTFbU2NFAUBVVTz99NOorq5GSUkJduzYgXA4jAkTJpjHDB48GH369MG2bduc/ghERETUyTDpJiIiZ0XHhyW7AcDKlSsRCARiNmOMZkMffvghcnJy4PV6ce211+L555/HiSeeiLKyMng8nrhxroWFhSgrK3P62yAiIkpbtsRrDumOw4nUiIjIURJsmJQl6vrrr8eiRYti9nm93oTHDho0CKWlpaioqMBzzz2H6dOnY+vWrba0g4iIqCOSbJj8tC3L2nV0TLqJiChjeL1e5OXltehYj8eDgQMHAtBn+33vvffw0EMP4Uc/+hFCoRCOHj0a09tdXl6OoqIiJ5pNREREnRjLy4mIyFmSBNmGLVmapiEYDGL06NFwu93YuHGj+dyePXuwb98+lJSUJP0+REREmUqyIV6znzsee7qboWkavvnmG+Tm5rJUgog6PCEEjh07huLiYnPt1mTZWV7eUvPnz8f555+PPn364NixY3jqqaewZcsWvPrqqwgEApg5cybmzJmD/Px85OXl4cYbb0RJSQlnLs9gjNdE1Nk4ErPl5MvLuU53PCbdzfjmm2/Qu3fvVDeDiKhdffXVV+jVq5c9J5PaP+k+ePAgpk2bhgMHDiAQCGDEiBF49dVXcd555wEAli1bBlmWcdlllyEYDGLSpElYuXJlu7aR7MV4TUSdlZ0xW5KTj9mtzblXrVqFVatWYe/evQCAoUOHYsGCBTj//PMBAHV1dZg7dy6efvrpmJhdWFiYVDvbE5PuZuTm5gIAPv3sM/NnIqKO6tixY/jewIEZ//vu0UcfbfJ5n8+HFStWYMWKFe3UInJaa+K1JIT5s0hwdWh9vqnjWnL+TNWaz0tEqdFRYnavXr1w77334nvf+x6EEHjsscdwySWX4IMPPsDQoUNx88034+WXX8azzz6LQCCAG264AZdeeineeuutVDe9xZh0N8MoUcvNzW3x5D1ERJnOzvJcSZIgt3NPN3U+rYnXTLqbx6SbKHPYGbNlG2J2a9tz0UUXxTy+5557sGrVKmzfvh29evXCo48+iqeeegrnnHMOAGDt2rUYMmQItm/fnjHDwph0ExGR4yRO20lERJT29PLyZE8CqKqKysrKmN1er7fRZT4Nqqri2WefRXV1NUpKSrBjxw6Ew2FMmDDBPGbw4MHo06cPtm3bljFJNy+DiIjIUZIUXfczyY0oGZIQ5iYkydySPVei/UREmcqOeC1JwM6dOxEIBGK2JUuWNPq+H374IXJycuD1enHttdfi+eefx4knnoiysjJ4PJ6YJT4BoLCwEGVlZQ5/G/ZhTzcRERERERHZZsSIEdi6dWvMvqZ6uQcNGoTS0lJUVFTgueeew/Tp0+Nen8mYdBMRkeM4ppuIiCj9SbI9Y7oVRWnVfFgejwcDBw4EAIwePRrvvfceHnroIfzoRz9CKBTC0aNHY3q7y8vLUVRUlFQ72xPLy4mIyFGSJJnrfiazESUj2ZJyIqLOwI6YDRt+zWqahmAwiNGjR8PtdmPjxo3mc3v27MG+fftQUlKS/Bu1E/Z0ExERERERUUrMnz8f559/Pvr06YNjx47hqaeewpYtW/Dqq68iEAhg5syZmDNnDvLz85GXl4cbb7wRJSUlGTOJGsCkm4iInCaBPdWUcm1ZJqwlz3fUidOa+76IqGOyo7qstZOfHjx4ENOmTcOBAwcQCAQwYsQIvPrqqzjvvPMAAMuWLYMsy7jssssQDAYxadIkrFy5Mqk2tjcm3URE5CgJ+rqfRERElN5kSUo6Zrf21Y8++miTz/t8PqxYsQIrVqxoe6NSjEk3ERE5S+KYbCIiokygr9OdZMzmjfY4TLqJiIiow2OJNBERpQqTbiIichbHdBMREWUGG6rTeI8zHpNuIiJylITk1/wkIiIi58k2rdNNsZh0ExGRsyQGYEq9xmYZZ9l58ziTOVHnIUlS8jGbvybiyKluABEREREREVFHxZ5uIiJylAR9NlQiIiJKb5KUfMxmQUy8jLoMev3113HRRRehuLgYkiThhRdeaPL4LVu2mCUS1q2srKx9GkxERIBUP0YsmY0yRyrjdWNl5FZCksyNiIjq2RGvOaQsXkYl3dXV1TjppJNavTD6nj17cODAAXPr0aOHQy0kIiIixmsiIqJ6GVVefv755+P8889v9et69OiBLl262N8gIiJqlmTD8iOUWdIxXlt7tTkxWNsZ3x2/N6IOSrYhZvPXQ5yM6uluq5EjR6Jnz54477zz8NZbbzV5bDAYRGVlZcxGRETJSVQ63NqNOj7GayKi1LIjXkvMuuN06KS7Z8+eWL16Nf7yl7/gL3/5C3r37o1x48bhX//6V6OvWbJkCQKBgLn17t27HVtMRNTxSBzTTc1gvCYiSg+yDTGb98njZVR5eWsNGjQIgwYNMh+PHTsWn3/+OZYtW4Y//elPCV8zf/58zJkzx3xcWVnJQE5EROQgu+N1cyXQLI0mIqL21KGT7kROO+00vPnmm40+7/V64fV627FFREQdHMd0UxswXhMRtT/JljHdEoDmV5LoTDpd0l1aWoqePXumuhlERJ2GBEBh0k2txHhNRNT+ZFlKOmYz5MfLqKS7qqoKn332mfn4iy++QGlpKfLz89GnTx/Mnz8f+/fvx+OPPw4AWL58Ofr164ehQ4eirq4Of/zjH7Fp0yasX78+VR+BiKjTkSQm3Z1NusTrlqzZTW3DGeCJOibFhqRbYk93nIxKut9//32MHz/efGyM5Zo+fTrWrVuHAwcOYN++febzoVAIc+fOxf79+5GVlYURI0bgtddeizkHERER2YvxmoiIqF5GJd3jxo2DaOKu9bp162Ie33rrrbj11lsdbhURETVFkpK/a06ZhfG6c2GvN1HHIdsQsxny42VU0k1ERJlHBsvLiYiIMoF95eVk1aHX6SYiIiIiIiJKJfZ0ExGRoziRGhERUWZQ5ORjNkN+PCbdRETkKEmS4GIEJiIiSnuKDTFbZnl5HCbdRETkKPZ0ExERZQZ7xnTb1JgOhGO6iYiIiMgWkhBcH52IqAH2dBMRkaMksKebiIgoE8g29HSzvDwee7qJiMhR+jrdctJbayxZsgSnnnoqcnNz0aNHD0yZMgV79uyJOaaurg6zZ89Gt27dkJOTg8suuwzl5eV2fnQiIqKMYke85pJh8Zh0ExGRo/SkO/mtNbZu3YrZs2dj+/bt2LBhA8LhMCZOnIjq6mrzmJtvvhl///vf8eyzz2Lr1q345ptvcOmll9r98YmIiDKGbEPMZnFbPJaXExFRh/PKK6/EPF63bh169OiBHTt24KyzzkJFRQUeffRRPPXUUzjnnHMAAGvXrsWQIUOwfft2nH766aloNhEREXVATLqJiMhRdo7pDgaDqKysjNnn9Xrh9XqbfF1FRQUAID8/HwCwY8cOhMNhTJgwwTxm8ODB6NOnD7Zt28akmyhJ1snUBEtNiTKGHet0s7w8HsvLiYjIUcaSYXaUl69cuRKBQCBmW7JkSZPvr2kabrrpJnz/+9/HsGHDAABlZWXweDzo0qVLzLGFhYUoKytz5HsgIiJKd7IN8bqV07B0CuzpJiKijHH99ddj0aJFMfua6+WePXs2PvroI7z55ptONo2IiIgoId6HICIiR0mQoEjJb4CeYOfl5cVsTSXdN9xwA1566SVs3rwZvXr1MvcXFRUhFArh6NGjMceXl5ejqKjIke+BqLPi2t1EmcOOeC2hdeXlnWHFESbdRETkKNnG8vKWEkLghhtuwPPPP49NmzahX79+Mc+PHj0abrcbGzduNPft2bMH+/btQ0lJiS2fm4iIKNMoKZi9vDOsOMLyciIicpQxprs9zZ49G0899RRefPFF5ObmmuO0A4EA/H4/AoEAZs6ciTlz5iA/Px95eXm48cYbUVJSwknUiIio05LbcKO7odZOpNYZVhxh0k1ERB3OqlWrAADjxo2L2b927VrMmDEDALBs2TLIsozLLrsMwWAQkyZNwsqVK9u5pUSdhyQEZzIn6iRUVW3TaiNAx1xxhEk3ERE5SpIkuNq5p1u0YPyoz+fDihUrsGLFinZoERERUfpzycnHbFkCdu7ciUAgELN/4cKFuPPOO5t8bUddcYRJNxEROcrOdbqJKLNx/W6i9CZLyZeXy5KEESNGYOvWrTH7W9LL3VFXHGHSTUREjkrFmG4iIiJqPUVOPmZLEqAoCvLy8lr1OmPFkddff73RFUesvd2ZtOIIZy8nIiIiIiKilOgMK46wp5uIiBwl2VCqRkQdDydWI0o/dsxeLrfy/3VnWHGESTcRETmKY7qJiIgyg2LLkmGtO74zrDjCpJuIiIiIiIhSojOsOJJRY7pff/11XHTRRSguLoYkSXjhhReafc2WLVtw8sknw+v1YuDAgVi3bp3j7SQionrGRGrJbpQ5GK+ppaQWXGwTUfsxZi9PZmtteXlnkFFJd3V1NU466aQW3+H44osvcOGFF2L8+PEoLS3FTTfdhKuvvhqvvvqqwy0lIiKDZEMAZ9KdWRiviYgykx3xmjl3vIwqLz///PNx/vnnt/j41atXo1+/fnjggQcAAEOGDMGbb76JZcuWYdKkSU41k4iILLhkWOfDeE1ElJlSMZFaZ5BRPd2ttW3bNkyYMCFm36RJk7Bt27ZGXxMMBlFZWRmzERERkXMYrzs3SQiWmRNRh9ahk+6ysjIUFhbG7CssLERlZSVqa2sTvmbJkiUIBALm1rt37/ZoKhFRhyWB5eXUNMZrIqL0oNgwJIwd3fE6dNLdFvPnz0dFRYW5ffXVV6luEhFRRpM5kRo5gPG642GPN1HqKXLyMZvl5fEyakx3axUVFaG8vDxmX3l5OfLy8uD3+xO+xuv1wuv1tkfziIg6BY7ppuYwXhMRpQc7xnRLEgDeP4vRoXu6S0pKsHHjxph9GzZsQElJSYpaRERERA0xXhMRUUeWUUl3VVUVSktLUVpaCkBfYqS0tBT79u0DoJeaTZs2zTz+2muvxX/+8x/ceuut2L17N1auXIk///nPuPnmm1PRfCKiTkmCpI8RS3KjzMF4TclgiTlR6tgRr1leHi+jysvff/99jB8/3nw8Z84cAMD06dOxbt06HDhwwAzoANCvXz+8/PLLuPnmm/HQQw+hV69e+OMf/8jlR4iI2hkDcOfCeE1ElJkkJJ80M+LHy6ike9y4cRBN3P1ct25dwtd88MEHDraKiIiIrBiviYiI6mVU0k1ERJlHkgCFt72JqBWMEnPBKhmidqXYELP53zYek24iInKUBH02VCIiIkpvsiwlHbMlZt1xmHQTEZGjJE6ERkRtxB5vINl55TrxV0dtINsQszNqpu52wu+EiIiIiIiIyCHs6SYiIkdJ4OzlREREmUC2YckvlpfHY9JNRESO4kRqRJQsSYgOU2Le3suQt/b9OsjXTG1ky0Rq9jSlQ2HSTUREjuJEakRERJlBkpKP2bxxE49juomIiIiIiIgcwp5uIiJylg3jw4iIMmkm8/YuIbdTS9qeAX8F1EYc0+0MJt1EROQoCRzTTURElAnsGNPNUup4/E6IiIiIiIiIHMKebqImtLU8jFU1RPW4ZBgR2SndZjK3o5RcS2E9elt+Pydqbhr9lVASJFvKy21qTAfCpJuIiBwlSYDC2cuJiIjSniJLScds3miPx6SbOpX2upHclvfh7yfqqCRwIjUislcqJ1VrbYxPphfbrsuWpr6lptrXmt/d1tPwV37mkm2I2fzrj8cx3UREREREREQOYU83ERE5SrJhJlQiIiJynmxDzGalQzwm3dTh2FlC3taSMLsmJQH4i4syHydSIyKntNekaq25HGjJtUNrri40G65rWjNE13poY5+lud/pLDXPXLas080C8zgsLyciIkcZE6klu7XW66+/josuugjFxcWQJAkvvPBCzPNCCCxYsAA9e/aE3+/HhAkT8Omnn9r0qYmIiDKPbEO85typ8Zh0ExFRh1RdXY2TTjoJK1asSPj8b37zG/z2t7/F6tWr8c477yA7OxuTJk1CXV1dO7eUiIiIOjKWl1NGa0v1txOziDa8odfa92iqjIdl55Tp9PLy9n/f888/H+eff37C54QQWL58Oe644w5ccsklAIDHH38chYWFeOGFF3D55Ze3Z1OJKAlOzmTeXDhvLt439mxTJePCgaVW1Jhy78a/J1lquvTdeGWiz93YtQzX9M4sspR8zObfbzz2dBMRkaMkSYJiwwYAwWAQlZWVMVswGGx1m7744guUlZVhwoQJ5r5AIIAxY8Zg27Zttn12IiKiTKJISDpet3ZMd2cYDsakmzKKELFbYzQhGt0A/S5uSzZVxG5aI1vD41TRsvM31147vguijmTlypUIBAIx25IlS1p9nrKyMgBAYWFhzP7CwkLzOSLKLJJNwbC52NpYnE4U5xNeM2gCQsRuqla/teQao7Vbw/e3bg3b0di1jpbg2qYl3wtRczrDcDCWlxMRkePsmr38+uuvx6JFi2L2eb1eW85NRETU2UmwYfbyVr68MwwHY083ERE5Sp+9PPkN0BPsvLy8mK0tSXdRUREAoLy8PGZ/eXm5+RwREVFnY0e8liVAVVUOB7NgTzelvZZUKTVWytSaCUyam7ikJetkWieeUBMcn2jyksYmq5CQ3EQlnMSC0oUdd83t1q9fPxQVFWHjxo0YOXIkAKCyshLvvPMOrrvuutQ2jojaLNlJ1ZobuhZ3fNwxDc8nGn+uidc1fG3MezTeRABN96glug6xvoukv3H9uRocrjUYq2t9vrH1vRP9/uc63unLrnW6d+7ciUAgELN/4cKFuPPOO1t1ro4yHCzjerpXrFiB448/Hj6fD2PGjMG7777b6LHr1q2DJEkxm8/na8fWEhFRqlRVVaG0tBSlpaUA9LvlpaWl2LdvHyRJwk033YS7774bf/vb3/Dhhx9i2rRpKC4uxpQpU1La7o6EMZuIqHMaMWIEKioqYrb58+enulkpk1E93c888wzmzJmD1atXY8yYMVi+fDkmTZqEPXv2oEePHglfk5eXhz179piPm1omgYiI7CcB5uzj7en999/H+PHjzcdz5swBAEyfPh3r1q3DrbfeiurqalxzzTU4evQozjjjDLzyyitM9GzCmE1ElHlky4ohbSVJgKIoyMvLS7o91uFgPXv2NPeXl5eblWqZIKOS7gcffBCzZs3CVVddBQBYvXo1Xn75ZaxZswbz5s1L+BpJklo1Pi8YDMaMN6isrEyu0dRmTpZ4JXy+mde3RMOS8oZlWQ1nVpWl+te0pPQ8Ucl5S8rNed1KqSRJ9k2k1hrjxo1rctiIJElYvHgxFi9e3I6t6jycjtmM19QUSYhWlZi35pqjqbJw43eOdb9IcGxM2Xkj7WjLUDirxNcVwvK8/qcq6ktfra+JuUYx9jW4WrKWmzdXat7c9QqvVdKDXeXldukow8Eyprw8FAphx44dMYPoZVnGhAkTmhxEX1VVhb59+6J379645JJLsGvXribfZ8mSJTFL0fTu3du2z0BE1BlJsG8iNcoM7RGzGa+JiOwn2zD5aWPzFTWmMwwHy5jLmG+//RaqqrZqEP2gQYOwZs0avPjii3jiiSegaRrGjh2Lr7/+utH3mT9/fszYg6+++srWz0FERNTRtUfMZrwmIuoY3n//fYwaNQqjRo0CoA8HGzVqFBYsWAAAuPXWW3HjjTfimmuuwamnnoqqqqqMGw6WUeXlrVVSUoKSkhLz8dixYzFkyBD8/ve/x1133ZXwNV6vl2u+plCiqqmWlJLrxxnnSFxG3lg5mFkK1kg72lJmHlNiZfm5YflWzIyhCWYLVUV8qVdDzc0QCrB0i1JLsqFUjTq+1sZsxmtqTrIzmbekrDzR7OQNj2t4nWG8pOE54p+vP1NT1z1WsdcJ+gFmabjlezB+bHhd0rD8vLHrlkTl5s2VmnNG88xgS3l5K1/eGYaDZUzS3b17dyiKktSaqm63G6NGjcJnn33mRBOJiKgRvIDqXBiziYgykyQxZjshY8rLPR4PRo8ejY0bN5r7NE3Dxo0bY+6MN0VVVXz44YcxM99R6glRv1lpQiS8yyyg3921bqomIISAqgn9cXQLa/qfEU1/LhzdItEtpMZuwYi+hVSBuoiGuoiGoFq/1UYSb9ZjgqpmvtY4p/U9whoQUvX3N9qjRtujWtquNvhs1s9n3YzvxPqdNbpueYLvmYjIbozZlE4kIeImMm1Ow15m62RoRu+1ELHXHALRnxtcb4Q1/XokogpEVH2/fk2g6ZsmUGe5DqlTNdSpGoKqQFAVqI0I1EW32rBlS3RNYnnefE3EOI9+Xuu1SZ0qENL0thjXRWbbVUvbjesUY7NcpzT8TozvJdF1ClFnlTE93YBe3z99+nSccsopOO2007B8+XJUV1ebM6NOmzYNxx13HJYsWQIAWLx4MU4//XQMHDgQR48exX333Ycvv/wSV199dSo/BhFRpyIBkG2cyZQyA2M2EVHmkSElHbPtnL28o8iopPtHP/oRDh06hAULFqCsrAwjR47EK6+8Yk7Usm/fPshyfef9kSNHMGvWLJSVlaFr164YPXo03n77bZx44omp+ghERJ0SS9U6H8ZsIqLMY0d5OWN+PEm0ZsG/TqiyshKBQABl5eW2LPBOupb8qzNKu5qauKThOpiJJiWxTljScL8mRMzrVOM9Y14T/bmZ4ijrXUF9XWLLz5DMfdYJTYxJSuonMImd3MS6H4j2GDZcu1uSGl0b02xbI7/9+EuRGqqsrERRYSEqKips+Z23dOlSvPnuDty38o9Jn2tIUQBffvkl+vTpk/S5qOMx4nV5WRnjNTWqsUnVYidQTTyBWsx1hGXSNOu1R/31Rf0+tcE1hnFtoUGYx1qvNawTqalafXvqX1/fPtUyC6x1aUUj7ivmdYRkPl9//aE/Z16fRPcZx0kx5zHeI/Fj4/j6tsRPqtbYJUdzk3bxWqVxdsdsv9+P5ze9jeP7D0jqPCvuvxfV35VhzZo1Sbepo8iYMd1EREREREREmSajysup42tsAjBDojvMxmPjDrN+XGN3nut7to27zMZdYiH0u8jWO8vWu8rWu8lGO613Z613kBXLcgtuRYIkidi7x9Ee7vq7ySKu51sFoMixPe+SJCVcrsNYpkOW4pfzMNrb2PIcvINM7YH/zoioTYTW/DFWUtP9SZIQrVpCzHqdgQY/119PxPZwW69HjEnHgPqealWL7ekOq5ZrjQbXIQAQ1oR5Ls3Sc268xsraM633bkevReTYHm/rtYrx2Lw2iZ5SkfTrFwDQGn5l0fNZVhgze7+BBkupWa5RDAwJ6cuW2cv5FxyHSTcRETmKE6kRERFlBhnJx2xG/HhMuiltJbq73Nhzxpip5sZtW3u363/WH4c1DWFVWO40A+Fo97YqjN7uxD3xivUOsuXusiwBblmGIut/uhUp7m5y/ZhvYY75NsZWCTXau22MnWrQq218BzIEJEnSf5bqvyP2dlO64L8xImpUa3uzW3quRnq9W9rbnehaI1Evt9HzbH1cPw5bX24LiO2xNq47GlbXGUuFapbzWK9FIqpmeb/4axJrlZ2119utyAmvUay93W5ZP8at1L/OpZjfmn5+o/KuwRw6QOPj5ZuTqHqQUseWidTsaUqHwqSb0l5MiZKI/VNYgpoWLQ9vLNG2TlaiCmEm2HURPeiFtfqfjTU2jeBmBsNGkm5ZlmImKzGCnVuW4FZkuGUJiqzBq+iJtxHkPC4pNuGOBkABAYhoaVeD9FmBcVMhdjITIeoTb70dTLyJiCiN2ZlsN3X+ZkrOW3SqBut2xybY8UPZjMQ4Er2eAIBQRP8zqKoIqyLmWsR6c9/6WDPW/I5ej4Q1zVwrG0BMZ4A5yZkswWNNsmUJPkWGLEsJEu/6xz6Xfo3gE/r3pSff0e8uWnNuJN1GCbpmucqwlprHTKrG6wsiJt3UvhIN2W5uHHfM683z1CfbQPSuMOrHTiVKtBP1aoc1DcGIZga0mrBm3lUOawIhVUMoUh/gGgtyDTePS9Z7uCUgy61AlvUEPMutmEm4LEnQRP1dZaPHW5VE/QykcjSIyZbvzwiq0W9DWHq4jcRb/14TJ96NfrdMvMkh1tn8iYgcT7Ybez9L8t3asd3mqRCbZDeWcFvHbxvJdk1YBQAEVQ11EQ1htf6mv6aJmB5sa0JeG1ahagKhiIbakGpej0Q0EXc94rJch3hcsvmz362Y1xvWeWeMpNwtSwiqMryKjLCmf19ZbsXMFKTod2ck0NY5dOq/1Ea+s/qJaVr9fVP7S7RSTqvPwb/qOEy6Ka1Yf3cn6lQ2e7oTPNYDUHz5uBkELaVcerDTA11NWI0m3hpqwipCEc3cquoiZlALqbF3lw1msi3VJ91ZHsUMeDk+l1largrALWtm4q2/Hmbyrcj6XWZh1JND6D3olu5rqUHskqLJtTXx1p9vw8UEE29yCP9ZERGApBNuqYWvF4l6t4VmS+Jtnq6JhNuYfFUVAkG1PtkG9OS7LqKZ1x5Gcm0wEnbjWqQ2pF+bBCMaqoKRaGeAFpN8A4A3mmQrsgy/R4FHkeG1XIuYSbgS+90YybhPkRF2yXqy3YDRi17f2RHdb/n+mis1t14+cVK19CWBfydOYNJNaS/hmO6G5eVabKCz9monmg3U6N2ui2ioCkUQjGioDauoqAkjFNFQE1IRUo1ApyflRo+38X4Gaw+3EfByfG54FD3QhSKafpfZowcxnyIjrAn4ose6hQRV0/TZQ7X6O9BuRYKkSdFarvqxVKLB/OQimikbd9+tgazh45bgDWkiInJEEgl3S5PthsfHJd8NEm/zeClxNV5jjF7uhgm3sAxjA/SZyY3Zyesi9Um3ccPfuNYwrius61sbSffRmnD0uAiO1UXM/UITUC1LqyiKDCl6PZLjc0U7ABT4o0m0tecbiL2W8bhk5HldMTOjA/o4b+uxIgVlS9a/F16bUKZi0k0ZRTSIiGZ5E+oTbqMky7h7bKX3dOuBL6zpyfexYAS1IRW1IRXfVYVQG9YT7ZqQqvd0RzRomkAkrEJo8W0AAFmR9LFSigzFJaMmpJp3l1VNIMujIBTRoMgSNE3AGz2F3tstQ5YENCEB0aXDjN5vuGQAEqIxD6qlfFxYcm9rcp2o1LylJeax3zWDG9lDgpRwLgEiIitJaAl7qFubcDd7Tkvi3VRvtx6V44no/DH6z8Zyo/UVdsbPQHQ4WzRhDUaiPd6WXuta41pDE3BZysIBoDakWo6LoCak4lh1CGpEg6YKqNHE2+glV6LXIJIkIRLRUOtR4PcoCHmUmCo8I4E2kncAZsdAtqgvIXdbSs3Dqt6m6GFxw/2A2PHd8X3llClkKfmYLbGvPA6TbspImiXYGY+NYBdWhTlJSThaemXMxGnMSG4k3DVhPdjVhlQcq4ugojaEmmgCHgypCNZGoKoatIgGVY0GN03EBBlJkvQgJ0tmwIuEVbjcSn3gDLuQE9FLu1RPfSjyuWQAerm5dXZ0tyJBta6bafQ+i/pfYsZ3IEn1wc1IrhMl4W3BxJtsYceanx3Mvffei2uvvRZdunRJdVOIUs6aVDdMkptNuBs+30TSnrDkvKVtlKS4m+4iWkVXP9RNmD3dRiJsnX3cSL7rool0RU0YNSEVFbVhqJrQy8C99ZfmRhXesbowquoiCAYjqKsOQ1U1REIqhBCIhCw93S4ZsqJfkwih94IbVXp+T/15jSq8mpCKqmAEAOAPKWbVnnHN5FU1M9k2eu6t113UMdkye3kHi/l2xGwm3ZS2jOAWM867wXP1S3IIc7KSmrBqTlJSE1ahCYGuPreeyEZnAa2NlnZVBSM4WBlEVTCCqrowDh6tQzioIhLWNyO4aRENoWAEQlMhNP1OtdBUSLKe7ro8XjPpll0yvH4XXG4Fbq8LwZAKr0dBrk//75brc0HNciNbAFluGbKkQI7eqa6IBr8stwK3rJecK7JirpeoSLE93NbvSoMUM3GadSmxZH73MfGmZFnmvyUAx44dwx133IGzzz4bJSUlqW4OkfOaSJwTJdVG4t1owt1UIt6CJcOSIUFPwI2JzxpO3mqtuANgdgAAehINANWhCA5XhfBddQgVNSEcPFqHSFiFx+vCCcV5yPIoUKPXKhU1IRyuDCJUF0GwNozaYyGEghFoqoZIKAgtHDKvR2S3B7LLA8Ulw5/jhcerwON3IxyMwOuSofrcZmKtagKHjtVh/6FqSLKE3GwPAL2M3Chx9ykyvK76zwFYk+9oZ0Yj35M1Kefs5ZlFRvIxuyP9ldsVs5l0U0Yx77BGH1sn9DDGZ9eEVRwLqagKRXCgog47vzqKOyYNQl1Yw+Ho3eRjRsCrCuHT8mOoqQ2jrjqMqqN1CNaGEQ6GEKmtQl3lIajBWqihOoRrq8yk20i8AUCSFSgePxQj2Hl88Obmw+XLgcufg+w8H7x+F4743agJqeiW40V+nQfdcjzI9eizmed6XQh43bh82RuYet5AFAd8+qzn0Ww3y62/lyLL5mc2JlSThQR96Hf8Gt5hDfC7kl/7sjXjqZikE9ULhUL4xz/+gf3790NVVQSDQbz88ss47rjjMGvWLFxxxRXIycmBoijo2bMnLrjgAvh8vlQ3m6hdxCTVxs+aCuHyxh+cKNFuahC2JMUl4DE93glKzI1x3frqItFJSWGpHEN0eS0h4JYlfHUsArcsxVTfWYe4ATA7AADgWEi/sX6oMogDFXU4cLQWVZVBfLu/Et9+vgvHDnyOWevuQnlVEBU1YXx9pAYHK4M4eqgatVUh1FXXofrQPoSrK6CG6hAJ1kIN1ZofUXZ5oHj9cHn8yOpWDHd2AN7sHGTleiErMtAF8LsV9O2ehXy/B8OPC2DmzAXoOWoCuh+XDwAIqZqZdLtlGa7opGtZbv1Pswcfscl33F9Hg/llACbflP6cjNlMuintNT2Rmv6nKoQ5bqomrOrlWNFe7KM1YXzyYSkqghEcromgJqLim6O1OFwdxpGaIA5+V4tQbRjB2giqj1QgUleFcG0V1FAtQlVHmm2fgH4TIGzZV+PJgsvnh+Lxoza/CG6fHx6fG7Vd/Pg224WA342u2V5UF2Qjx6Oge5YHAZ8LgW5Z+K4qhJxor3iOqsEdkcyJTNwyoDW4/aiJxtfqFkLg/z4obdH33CpNBM5Ro062//0o47VlNv2OYNq0aXjuuedQVFQEt9sNt9uNE044AZs3b8bixYvx+OOPIxgMQlVVlJeXY/jw4Xj//fdT3WwiR8X1YBuPo0H9Xx98EH+cNaNrzYxn1t891pm2zV7w6NwnxnOiPqGMPmz0bfMHDINlHrPoeG4RLSmP9hBr9T/XhvTkuyak4mhNCDXVIdQcC6Lq24M4duBzAMDBz3Zhz8EqVNSE8Wl5FWqPBXHkYBWClUcQrDqC2sPfNPpR1egWAlB38FN4svLgyemKqpyuCB/pgspsNw7neaEdzMVxeT707uIHAFSVfQF/bjaOVYeQ63Ohqk6/0x/IUhFR9Yo+a889APiYQXRcksSY7UDM5n8ZSivNjREyx03F3WmtHzdlzEpeG1LNtS0BQNOAkKYhHNFQURtBZW0IR6vDqK0KIlgTQai2DrVHyhCurUSktiqpz6GGaqCGaoBo+bmaFUAkOw8ut2zOPi7LEqqDXrhkSZ+FVOg33WvD+phyj0vWP48qm+Vcevla/ERqQkDv7UbsBGoJv8ME08LIrS0EasvMbNRp2bHmZ6Zav349/vnPf+K8886Le27dunUxjz///HOccMIJOHz4MPLz89uphURpJuFSXw3utJv7Gylutp7DWn6VRClWY3m+9ToEqC8vN+O2qO/1NpJufUhbBKHaCOpqwghWHY45ZzCsj/kO1oZRWx1G7ZGDqKs41KKOALNd4SDqKg4hEqqFGg7Cl+OHLAEVLgXBsN4eI/aHqo6grroOwVp9dvSaaDtrQyrCvvjhfDHv05KFulvaZsu5OPlm6shS512n28mYzaSbUkJrwV3qlkzSISxJuDFuKhjRUBdRozOSR6BGx1BFhL6WZW1EH8tdURtGqC6C2qowQtVVCFU3fQe5TTQVtUfKoYZq4Y7UwePtBaB+NueakIosj4JI9M54JKwvCWIm3VrsHXNj3Jj1+xECcb/dEs2wnijZbuy5FiXhTLyppTrxRGpdu3bFyJEjW3TsgAEDMGjQINTU1DDppszX1hnHo6+TGvR+x/Z0t3ByNSP5buNamC3tT284cZp1cjX95nlsT3dtKIJwMIJgXRih2jDC1ZXmuTSh94TXhCKoqw6hrjqI2iPlCNdUtKrthkhtFbRIGP6uRVBcCtzeCOrCqn7dEf2E4doqhKsrEA52QU1dBLXRcvhQRIubBK7+c8a/FydX6xhsmUjNnqa0OydjNpNuSnuJEkhjj/ELvn7iEg2qEOYyGKomoKkaNKGXXEeiZV514QhCIRXhkIpIOKyXlNdUxr2PLe1XwwjXVkFSXAiHInB5FETCEYQiCiKqHtA0IaBp0NfctGxadOI3azBv6leZBnsmrNIgWt/7TURxPv/881Yd/+9//9uhlhClqYbJtd3njlsurIne7kaa0FjTGu43e7m1+nWtVQGzp9vYF4xoUCMiukWgRUIx5wmrGurC+jGRUB3CdclV32nhICLBGkTCPkQi+k0A64qqWiQENVSLSFiNznhen3TXz53Tur+fmGu3znrXlTKOkzGbSTdllPjlOvQ/jbvKqtDHG4Wia2DWhFREwhoEFD2BVTUEwypqgipCQRWh2gjCVUcQPPYdglVHHWu3Fg4iWHkYvtyjUFz5UFwSXG4XqoMqcnwaIpp+xzkSVqN3uOt7ulWtvkxN1Sw3/Y1zQ59UTYYe15h4U7rh7OVEZEhmzW0AMb3cUhN90cKIX4kSb5tp0US7YW93/XOxs5fXhvQVUsLBCCK1+jwyhoiqV+wFw5o+sWt1JWCZvLWtQlVH4M7KQyQYQTCi6tcdlmuqSKgWkZCGcFA1y8tDEc28YaBZrkOA+GuRlmAinhk4e7kzeB1EKScsW0tpIr6MSdVETKCz9hYDehKpj7OKTgQS7QVX1TC0SMSWoNYUoYahqWGoEQ2aCqiaZgZjs1S8wYdSRWxQbG9NlaQDaN1fGnVqUnRilmS2THf22Wfj8ccfR21tbfMHE1GTmkq4U6lhzNYaVLAZmzA3Na6nW9U0aKoGQEBTw7CDpoYh1Ii+DGqi0vBwyLwGMdoY0yaBmN5x6rhsideM2XGYdJPjhKjfnNJwYo+myqA0TUAIyxaJQAhnE27zvYUKITT9bm+0B9u8KRD92RqU619nnUQu/cdNpfA+AVHaGjVqFH75y1+iqKgIs2bNwvbt21PdJKIOq72S8kQ3xo0b/A2T1IYTrAGIWYIUaDBzuiYgtCQrA8wTaxBCja4lriWe+8VyTQLoQ/Lir0dS2xlA1F7sjtltSrrPOeccLFq0KG7/kSNHcM455yTVIKL2Yk1chWpTUGv2TTV9i2sLAxh1XMbs5clumW758uX45ptvsHbtWhw8eBBnnXUWTjzxRNx///0oLy935D0Zr6lDSbY0PUMYnQNatCfcDkJocdc61msPu96HMp8dMbsDhGzbY3abku4tW7bg4YcfxpQpU1BdXW3uD4VC2Lp1a1tOSR2YUWXSnpUmSvQKXUlwpS7LeumLEv1TkmXILne7tEtW3JAUl156I0tQJAmyrM9kLkd/Viyb+TpL0pEJCUgHqCoiG0k2bR2By+XCpZdeihdffBFff/01rrjiCvzv//4vevfujSlTpmDTpk22vh/jNXUoDo/NbotES1spkgRFAhQp0X4p5nWSrECKLi8K6KuHmNcpLvuuTyTFBdnlhiQBiixDil53mM/LinkdYnAlvB6REn5m6jgYs+vZGbPb/NvrtddeQ1lZGU4//XTs3bu3rachatN/0IaJpxJNoq3BwAgSRgCRIZmB0K3oJ5AVGYrbC9nl/JyCkuKGrLj1IKroQU822x09pkE2raR7cEvjplEasaGXO91vNLXWu+++i4ULF+KBBx5Ajx49MH/+fHTv3h0/+MEP8Mtf/tLW92K8po5INBOAmnu+vcgJEldFliCZW2zSrT8vQ1ZkABJkxZ6kW1bcgCxDUeSEv09lt8e8BmnYXgAJbyJQx2RHvE7nS9e2sCNmtznp7tmzJ7Zu3Yrhw4fj1FNPxZYtW9p6KqI2S9SDrkh6wDDu0MqKZIZeyehZlqVoUANktxeKxw/Fk+VoWxWPF7LbC9kIei6YNwoA/aaAJEvwumQz4BlJuXF3XLH8jzVuVDT8T2xnPwBnLyeyz8GDB/HAAw9g2LBhOPPMM3Ho0CH8v//3/7B3714sWrQIf/zjH7F+/XqsXr3a1vdlvKZ0ImzsrW4ssY7Z306944rcfC+wtZJNkiX9WsDtgezymMfIMuBS9Hjvcsv2Jd0eL1xuFyRF1q+BGjwvyUq0U0C/fjJ7uS2980Sdid0xu03de8Yssl6vF0899RTuvvtuTJ48GbfddltbTkfUJOusxcaPxgQpxo1YtyLBLUc3RYbfo8DvUZDlUeByK5AlAZciwatIyPIo6JLlQTCsQdU88OYE9HPKCqoPfmn/B5AVeHO6wJ3TBb7cXPiy3fD6PfD73MjxueB1y/AoMmQZ8Hhd8HtcyIq2363E9t7LkpTw7qFxV9GuSwsm22QnCR1j9vFk9erVCwMGDMDPfvYzzJgxAwUFBXHHjBgxAqeeeqpt78l4TWlPkqPLekktm4XTOD6qyR7tRAm3jb+LjFPJkMzx0UaFmjt6l9wtS/BEf87yKOafHq8Ct0+B25cFtz8Hkeha3LIkwedSkONzweNzwZvXFe6sAMI1FW1up+z2wpfbHV6/Bx6PCz6XApdiubZweeDJCsDt1a+Z/B49PfB7FLijF1rG5zFu/tdfjzX23cQ/wziQGTrKiiHJsjtmt+kaveGMh3fccQeefPJJPPDAA205XausWLECxx9/PHw+H8aMGYN33323yeOfffZZDB48GD6fD8OHD8c//vEPx9tIzTPHMDfxn7olJaVGT7ce4CT4XDLcsh6w9MTbBcWl/zN3RYOgx6Ugx+tCIMsFX5Yb/hw3/Hld4O9aBF/XQrj8OTZ+UAVZ+T3hCxTAF+gBX7YbvmwPPH4XAlluZHkUPfhFvwuXW4bHVX/ToP5Ggr7pibWkb9HXNBbYGu5vLpE2z9vShJu/j6kVWF4ObNy4ER9//DFuueWWhMEbAPLy8rB582bb3jOV8RpgzO7UJLl+a+3rYOkRN7O7Br3XzZ3X+nxLJ5aREj9s7qXGdYjR263fMDd+d9V3ChixPcfnhtvrgtfnhsfvhjs7zzyXLAE+t4wsjwu+bA982V54u3SHJ6dr8+1PwOXP0a9vcvzwZbng8es39l1Sfbz3ZAfgzg7A7XXB73Mhx6tvHpcMt6Jv1us2fYv/vdyRfl93ZhLLywHYH7PblHR/8cUXcW9+2WWX4Z133sGaNWvacsoWeeaZZzBnzhwsXLgQ//rXv3DSSSdh0qRJOHjwYMLj3377bfz4xz/GzJkz8cEHH2DKlCmYMmUKPvroI8faSMlp7he2NYjJUn2SWJ94y/C6ZPiiiasRNAC9ZMsj68/l+FzomuVFl2w3/DleZOV64M/NQlb+ccjKL4Y/v7jNAQ4AFE8WvHndkJXfE/78Ivi7FiAr1w9/thdZ2W7kZ7sR8HuQ5VHglSW4ogm1JEvI8brg9yjwKUawqy/vMj5rw8nprL3csZUB8Yl3Y1urdIBfptR+JJu2TGXEqDPPPDPh85FIpNlktK1SFa8BxmyykTXYJUq+E20NX9vwZ5s0vA5R5PoJ05TodYmxGUm33x3tyfbrN/+9Ofkx47q9Lj3p9vhc8Ge74e9SZF6btLhdbi98gQL9dV2L4Mv2wJvlRiBLr7CzcmflwZftg9fvQq5PT8qzGt78j24Ny81b0onS4jbbeC5qO8ZsZ2J2m5Luvn37JuxdGzp0KKZPn96WU7bIgw8+iFmzZuGqq67CiSeeiNWrVyMrK6vRC4eHHnoIkydPxi233IIhQ4bgrrvuwsknn4yHH3640fcIBoOorKyM2Si1EiXiDRNPRZLglvVebq9LD2i5Xhe65XjQJcuNiDBKtvSkO+B3IT/bje45PuTkeJCV50V2nhc53bogq1sRsgv7IrtHH2T36Atf10J487pBdnshKW6gwYQnkBUoniy4swLw5nWDP78YOYV9kF3QF9k9+iK7Sx5yAj5k5XmRm+dB91wfuuV40TXbDb9bD2ouSdLXMtcEcn0uZHtc8LoUeBVZ/1zRnm79LnrsdxH7vUhx+zWImHU/k5bJv0mp02ltT6sTevbsGZNoDh8+HF999ZX5+LvvvkNJSYkj752qeA04H7MZrzOXkOTEY7slqWXLgrWk5zouQa//uf69E5/DeiM6UW+3vta1fpwi11+HKJak0Yjb7uhcLV6XXsnmccnI9bnQJcuDrGwPsnK9yOneAzmFxwMAjtZF4Pe6kOPTr2H8uV7kdvUju3t3ZBf2RU5RP/gCBXBnBSC7vbEfWXHD5c+BN68bcov6IbuwL7K6FSEnPwfZeV4EcrwI+D3wuhVEhMDBmiAA6Nc7eV7kZnsQyPIgx6e/v16GLsOlxM41Ywx1Y25MduvIMdv5KZttEgqFsGPHDsyfP9/cJ8syJkyYgG3btiV8zbZt2zBnzpyYfZMmTcILL7zQ6PssWbIk4ZqmlB7qx09F/5Tq/3QremBTLeWUhble5AzohrxufVDscSGoaqiLaCisCeFYKIKKmjByv6tBRU0Ix+oiqDhah1AwgkhIRTiooq4mBDWiQQ3VQg3WQouE4taylGQFskufCMWYEMWX7YHLrcDllpGd54PbqyAny41e+Vno4ncjkOVGwO9Gj2wPstwKstwKVCFwrnIYBbleBHwueBXZvElgzCIqSfUXANbLFRn1CbfxnUjQJ5UbftIouGTjubZHSAZXajMpuX97bWX0tK5evRpjxozB8uXLMWnSJOzZswc9evRot3Y0LPHeu3cvwuFwk8dkuvaI2YzXHYiRBAsNkBWcPGpU/VMNk/DWrtXdILmPSfYtP4vo7yjjv2LMGtYAtOhDIQRUAdRFBGrCGjQIKJL+Og3R2CsDsqafz0i8ASDbrd+0z/G5EAi5EYro1xORUDbc3pPQY9BwfO0uRv/ibHSNaPBWBnG4Ooj9h6pRVx1GsC6MqqODEAmFoQZroYZqEQnVmu10efyQXR4oXj/8udnw+t3w+PUy9sKCLHTL8aKL342CPC9qQyqe2bYPA8ZNQVaOB7n5fvP5HJ+eHhhD9gBYxnZHrydQf11ifp28TugQ7Kg2kNrQQ9PRY3bGJN3ffvstVFVFYWFhzP7CwkLs3r074WvKysoSHl9WVtbo+8yfPz8m6FdWVqJ3795JtJzs1PC+uPFf2lgKzOeSzUBplEJ1jT4Oa1r0WESTcwXIAnqEvNFSrwgUWUJtSEUkrCIS0lBX44Ya0aCpWYiEVGhCQEQjr9BE/fIaigzZJUNx6bORur0uPen2yOiS60VWdAxXj1yvfgfZ60KWWzEnJglrAqomMLgwN9o+Bb7onXGjvFz//PW/CCUpPuBZE27jsbWXSxOiTb9IGUgpGRJS82/I2tMKAKtXr8bLL7+MNWvWYN68ee3foCZ0tElr2iNmM15nPiHJsUl1NAmWhNb4LOfWBL05rUy4E7YRsQm3JuofexQJarTXW5NE9BpFAmTALUcnHpM0eF16su116W3O8bkQiug/e1wKPC4ZNV18cEWHw9WG1OhzMnJ8bmRneyBHry0URUYkrCESyoKqalAj9d+D4pLN6xFfthserwturwKvV+9Z97sVKLKEqroIakMqju8TwHf5fnhcMrpk6dcogSw3sqMTqRnD9YD6ZDvREPtEGqvIo/RnSxVDG17f0WN2xiTd7cXr9cLr9TZ/IDnOTCoT3E0ynjNm0RQQ0X/MMrLcerALaxp80Z7v+vFHQh/3bczCKUlQ87zwexTkhvTx37UhFaGIipqQiqpsI+nWEAlr0CwJt9mW6LIfkgx9OTJFht+nnyvLoyA/22uOjcrP8SDbreil49E7yO7ompmyIiHf79Z77WUZimzcZZbNz2mUsQGWXv7o9yFLsb/jrAm3QNuqwjtYHkAdgFFSbJXo93ZbelopszBeZ5AmEuW4xBuxyXGi52PO2UItWaosUS933DHQk29Z0m/iayIam4WxroqAEBKindrwumTURRNjbzSBzfXqVyzGdUKO12Veq2R5FLO6TT/ehR55PtT6IjhWF4HLIyMS0qCqGoQmzD8lo/Q7mnh7/S54LSu55Hj1sdqeaPWcxyXjuK5ZKMj1AdBnVM/P8SDgdyMr2nhvdCw6UH8Twejhtl6DECWiqmqL4jXQOWJ2xiTd3bt3h6IoKC8vj9lfXl6OoqKihK8pKipq1fGU/uqT7Whoi1Z6K+ZMYgKSJMMtA6rQe71VTQ+gqhDmY3hd8Kkawm4Btywh1+tCWBUIZLkRimjRxFtDTUhFSNWgagKhiAo1mmyrlqS7ft3N+kDmdyvm+K0cnys6GYmMXI8+Psoo2cpyK+bYL+NzGI/NMWJyfVmXdQKT+rvNsQm3bNlvPG5t7sxkm+yW6OZZW6xcuRLLly+P2bdw4ULceeedMfva0tPqFEmScOzYMfh8PgghIEkSqqqqzIuRjjgWmTGbWqO5hFhYesCTPm9c73fTvdzmz5bfYZIkQYKAIkvQoCfrEgSEBECTAFnof0JPVo0ktn5ZMX1/tltBfrYHteH66wvF0i3scclQNQGvS0YwoqE2rKKqLgxVEwhGjGsTLeZ4JbrGdo7PrY8hj04wG8hym9coxntY31OJXpNkuRWzYyLX60JWdNI144aBuWSY5bswMAHvGCQhko7ZkhDYuXMnAoFAzP5E8RroHDE7Y5Juj8eD0aNHY+PGjZgyZQoAQNM0bNy4ETfccEPC15SUlGDjxo246aabzH0bNmxwbMIaSl6i0GctSzJ+BajRH8zecAhIIpq0yoAqhH7XWUhQZP2us5mAy/VrfMuqgOrWE+GIqkGR9FLvkE8zk281WvodimiINJJ0u8zEW9/8lrvJ2dEycrcswW/52RiDbiTaxlIjRrIN6Mm2dRy3sYwDkDi4JUq4W4PJNjlCnyXQllNdf/31ceN40723UwiBE044IebxKMuYVSOodySM2ZRQgzW2W8uaRDeWgDeZwDeRcLc2x5ABqNE/NQnmWt1KdIcmRYe6KRLcmrXnuv4axq1ICKt6Uq1pwtxv8Lj0xFqRJYQiGrIi+kSxoYgGVQjz+sRgXodEe8yNidsUWUKOz2U+J0eH5JmfRdYnozXKyb1m77Zk9nAbX5U53K2Z64zmrudao4P9ekx/QrMhZguMGDECW7dujdmb7vEacC5mZ0zSDQBz5szB9OnTccopp+C0007D8uXLUV1dbdb+T5s2DccddxyWLFkCAPjFL36Bs88+Gw888AAuvPBCPP3003j//ffxyCOPpPJjUAsZv5wbBiHAknAaP+gRD7KwJtz6zN16wo2YBBwA3EJCWNaDWVjVENb0GTo1IRBW9V7xuohm9pIbd5OtAc5gTbj1mdQlc11Laxm50cNtXVfcSLTrlxypD2rG0iPWYCclSKwlJJ9wEzlHtLqHqjFerxd5eXnNHteWnlan2LnudiZhzKaEkky8DS0pF3eCEW9VEZ21XNZrzK2Jt74/2k4hmeOirWXrbllCWBMIqxo0IUMV+vPW5FvfL+BRZPM6JCfaw23dDNZrESPZVmTJ7O1umHDLcv1jY4UX6xA8Y24ZAAmq7BJ8N40kIon28xIlfUlCSz5mCwFFUVoUr4HOEbMzKun+0Y9+hEOHDmHBggUoKyvDyJEj8corr5ilCPv27YMs1/8SHjt2LJ566inccccd+NWvfoXvfe97eOGFFzBs2LBUfYROz/i9a72jbJ3YK9E4qph1p6PPm4ll9LGeR0sQ0O8+iWjwEjAS7tgEXHLL+j6XgDsiQRMywqpAllsPgEbws/6c6C60QZH04GV8HrdlaQ09sdYDlhH03IoR6OoTbSPxVmTLBHGyFDMzuSLHz9yeKOGO+f4sPzc1iRrvJFNH0paeVqecffbZ7fp+6YIxmxrVmsnQ7HqvBpoqK094GkmKKzGXhZ5sK7IEScC8BtFnWjPulgsYkTvLre+SJf2mv35TXzZv9BvXGGFV/16MfT4lei3iqb8uqX/eknRbeqGNSViNpNqlyGZybVyf6K+pP96YQ8ar6OXwbkUyVz+pH+YW/Qzm99Cqr5Eooc4QszMq6QaAG264odEvf8uWLXH7pk6diqlTpzrcKiIialJ7XFw30FxPKzmPMZuIKMPYMiSs9WPCO3rMzrikmzo3o0fX+K+sRe8kK9DLuYSov9usSPUTnDTs9Y4O64aqSZDd0fHeir6smCbkBpOv6SXl1l54a4+3edfX7I2WzJ7thnebjZ8b9m6bjwFLubllkjTLneX6ceyx30misnL2clNaEKL1AyZt0FxPa3uYOXMmli9fjtzc3BYdf/3112Px4sXo3r27wy0jSgMNe6HtvjmXZAm6hMSpg1FhpqG+t1tG/WPIRm939GjF+Dk6A7hbgubSh7KpQkBzNZj01Rj7rRk94Ep0Xpr6HnHjmkSzlJdbK+6svdoAzKFtxjUKgLg5ZYyebsXs1ZZiVk8xzg1Yrjks30tblwlLdk1ospkdMbsNL+/oMVsSbVnduxOprKxEIBBAWXl5i8clUPMa+1eXqLxcxDyv/2mMYRIN9gshzETb2G/sM95XT8DRoOxcf2yUaRnHGUEQQEwJl9FWa6CwlnVZg5N1HJReHm55bEnYrYm2vg9x+/T3gfm8wUjOrZhwU1tUVlaiqLAQFRUVtvzOW7p0KT7Y8T4e++Pvkz6XL9ANX375Jfr06ZP0udpLTk4O3n77bYwYMaLZY48dO4auXbvi66+/5ozdbWDE6/KyMsbrjqiphLzVy4fFBz5riLdeiyS8zhD1zyW+zoi9nghrsdcRxjGx1yCxibfRjobXIUZHQKK2xlyTNJFcN7xeaTi3jHkNA0vSbSlHBwCXZdUV8z0bSbqT6RTQX9/k052a3THb7/fj/bdfx8ABA5I6z933/gb7yw5izZo1SbepPTkZs9nTTURE5JCTTz4ZF1xwAU4++WS4XC643W4MGTIEt912G9asWYO33noLdXV10DQN//73v1FUVMSEm4iIKAWcjNlMuiklrHctWzOpmsEofTIKNcwSMEkvL4ekP6dEy79ie74Rd0e6/k625djo3WfjdYnam+jzxJaD1882bi0fN15TPxFJ/R3pxvYbnzPRpGmN3T0G2MtNqSfZOHt5pnnyySfxyCOP4JtvvoGmaairq8Mf//hHvPLKK9i9ezcmTJiAQCAARVHw3//935g2bVqqm0yUnmyarbzVE6hBv0YwKsYlSYIMoye6vsxcQfSaxLgGiC4TJiDMIG1UmcdW2xnXIhKg1Pd+A9aqPb3H2/jZ0LACD4hf0guA2ZsN1A9rM34GEg93Mz67cb0lm+eKfdxYSXmiaxRecmQIG2YvT3ad71RxMmYz6SYiImfZuE53punduzfuuuuumH379u3D8ccfj5deegkXXHBBilpGRESUQIomUksHTsZsJt2Utoy7srHjlWKPMSZSs951NsYUGXezE/V8A9Y7yPW95tZfMcZ63g173BubVCVR260ToOmPY8c1NezVbvgZG06W1txxidqQCHu4iVKnT58+mDRpEkaOHJnqphB1Ki3t5ZYlKWG1nbW3WwhhPlak+mo7TQAKADk6Y6sGCVL04qK+kg5xlXTC+rNx/WH2eFurAFv4YdHw2iG6L1Evt+VzN1WFp79eZ/R4t/VyguO4KVPYFbOZdBMRkcM6b093Y/75z3+muglERETxhJZ8zM7Q8vLG2BGzmXRTyjU2vtvQ1Dhv8y6ucXfZ6OW2HKdE70RDkiCg34HWz2V9X707vOGvGP00rb/dGjPGO2Z/7LkSjXNqbExU3HMJ3pd3jiltMekmohRp7ThuILa323i1MbYbiK+0A+J7vQG92s7a6222KUG1nX6Mpd2i8esfoz0NNXdtkOj6JFEVnvX5hMeY544/Jm5/gjZRGrMj6c7Q8nIn2TMrBRERUWOEADQt+a0DeOONN/CTn/wEJSUl2L9/PwDgT3/6E958880Ut4yIiAj63aNk43UH6em2M2Yz6SYiImoHf/nLXzBp0iT4/X588MEHCAaDAICKigr8+te/TnHriIiIyGB3zGZ5OaWVlpaaNyz50p+LP5FRQt5Y2bl5jGQs7ZFYWycuMZvTzDFNlZE3dR79WJaUU5oTnXfJMKu7774bq1evxrRp0/D000+b+7///e/j7rvvTmHLiDqm1pSVS1L8dUdj1xzWMnNjeBsQLS1vcBLJ0o6Y4W2WCV6BxKXnsB6fRJF2/DVHg+fN/c0PaUu0bGlTx8c+z+uVTCAh+SXDOkJPt90xm0k3ERE5j0k39uzZg7POOitufyAQwNGjR9u/QURERA1xTDcA+2M2y8uJiMhhIrruZ5JbhisqKsJnn30Wt//NN99E//79U9AiIiKiBuyI14zZcdjTTWnLKDNqbkZzQC/9SlSVZM4i2vCkiC89NzQsDUt0TGskKsEytKaMvP41zTeGJVpE6WfWrFn4xS9+gTVr1kCSJHzzzTfYtm0b5s6diwULFqS6eUQdSltmLE9UYg40PbQtptQ8ehLrkLSGs5sDlmuK6KoqQHzpuVWi65LWaq4cHPFvm3i4XINZzJt6ff15WFZOmcfumM2km4iInCXA8nIA8+bNg6ZpOPfcc1FTU4OzzjoLXq8Xt9xyC66++upUN4+IiCjaU83ycrtjNsvLiYjIYfpEaslumU6SJNx+++04fPgwPvroI2zfvh2HDh1CIBBAv379Ut08IiIiW+K11AHKy+2O2ezpprTX3IzmQOLSpURlYFZxpeeJ3jDmfI23UW9D08/HvU0LjmlJKTnA0iyidBYMBnHnnXdiw4YN5l3yKVOmYO3atfiv//ovKIqCm2++OdXNJOoQ2lJWbtVYiTkQG5Mbu8ZoqtxcibmeSfwmCVtved/WpDLNfRNNlY+35Nim3oMl5ZSpnIrZTLqJiMhhdpSqZa4FCxbg97//PSZMmIC3334bU6dOxVVXXYXt27fjgQcewNSpU6EoSvMnIiIiclonn73cqZjNpJsySsM7o01VrzR1l7W5XvBEkplMrTEt7cm24t1hyji2jA/LXM8++ywef/xxXHzxxfjoo48wYsQIRCIR/N///V+TEy0SUesk28ttaG2FnWY5qNmeb8ubJKqga8nkrm3Rkt81TVXs2VGdx193GcKOpDuDy8uditlMuomIyHmdOOn++uuvMXr0aADAsGHD4PV6cfPNNzPhJiKiNNS5J1JzKmZzIjUiIiIHqaoKj8djPna5XMjJyUlhi4iIiCgRp2I2e7opozV206m5qpa2lHU3pAlhy3mawo4w6gik6OzlnZUQAjNmzIDX6wUA1NXV4dprr0V2dnbMcX/9619T0TyijGdXWXkixqlbM5ytqXLz2Ne1ogHmuVvwmpaeO9HbtfC41lz/8Foms9iyYkgGl5c7FbOZdBMRkbOEALTOm3RPnz495vFPfvKTFLWEiIioGZqWfMzO4KTbqZjNpJuIiJyXwQE4WWvXrk11E4iIiFpGCMZsB2TMmO7Dhw/jyiuvRF5eHrp06YKZM2eiqqqqydeMGzcOkiTFbNdee207tZhSSZKa3uxgV2m50+0kImpvjNnUXpwsLbdqTXyWJSnhFnfONmyy1LKtLedO9LFa+lma+r6IKIN6uq+88kocOHAAGzZsQDgcxlVXXYVrrrkGTz31VJOvmzVrFhYvXmw+zsrKcrqpRERk1cmXDOuMGLOJiDKUHTG7E/eUNyYjku6PP/4Yr7zyCt577z2ccsopAIDf/e53uOCCC3D//fejuLi40ddmZWWhqKioxe8VDAYRDAbNx5WVlW1vOKUt3nklak+deyK1zqa9YjbjdefWXj3cjWnJWt4NtaSHWGvmZHZ+ajsq9ng91fHYMZGalMFLhjklI8rLt23bhi5dupjBGwAmTJgAWZbxzjvvNPnaJ598Et27d8ewYcMwf/581NTUNHn8kiVLEAgEzK137962fAYiIqLOoL1iNuM1ERFliozo6S4rK0OPHj1i9rlcLuTn56OsrKzR111xxRXo27cviouLsXPnTtx2223Ys2dPk1O8z58/H3PmzDEfV1ZWMpATESWLPd2dRnvFbMZrIiInaCwvd0BKk+558+Zh6dKlTR7z8ccft/n811xzjfnz8OHD0bNnT5x77rn4/PPPMWDAgISv8Xq95rpsRERkA47p7hDSLWYzXndeqS4tb6ip5rQ297BrklanpHnzyA62xGwm3Q2lNOmeO3cuZsyY0eQx/fv3R1FREQ4ePBizPxKJ4PDhw60arz1mzBgAwGeffdZo0k1ERDYTAtDUVLeCksSYTUTUCWhq8jGbN9rjpDTpLigoQEFBQbPHlZSU4OjRo9ixYwdGjx4NANi0aRM0TTODckuUlpYCAHr27Nmm9hIREXVWjNlERERtkxETqQ0ZMgSTJ0/GrFmz8O677+Ktt97CDTfcgMsvv9ycBXX//v0YPHgw3n33XQDA559/jrvuugs7duzA3r178be//Q3Tpk3DWWedhREjRqTy4xARdTICQtOS3igzMGaTU4QkpV1peXMaru+d7utXN9XedG0z2cuOeC04pjtORiTdgD6j6eDBg3HuuefiggsuwBlnnIFHHnnEfD4cDmPPnj3mTKcejwevvfYaJk6ciMGDB2Pu3Lm47LLL8Pe//z1VH4GIqHMyysuT3ShjMGYTEWUooSUfrx1Muu+55x6MHTsWWVlZ6NKlS8Jj9u3bhwsvvBBZWVno0aMHbrnlFkQiEcfa1BIZMXs5AOTn5+Opp55q9Pnjjz8+5q5K7969sXXr1vZoGhERNYVjujsdxmwiogxl25huxZbmNBQKhTB16lSUlJTg0UcfjXteVVVceOGFKCoqwttvv40DBw5g2rRpcLvd+PWvf+1Im1oiY5JuIiIiIuqcMq2svCU64EcictyiRYsAAOvWrUv4/Pr16/Hvf/8br732GgoLCzFy5EjcdddduO2223DnnXfC4/G0Y2vrZUx5ORERZSYhBISqJr05KVPL1YiIiOwkVC35eK0JqKqKysrKmC0YDDre/m3btmH48OEoLCw0902aNAmVlZXYtWuX4+/fGCbdRETkMAFoWvKbg4xyteuuuy7h80a5WigUwttvv43HHnsM69atw4IFCxxtF1Fnl4mTpxFlNGFDvBYCO3fuRCAQiNmWLFniePPLyspiEm4A5uOysjLH378xTLqJiChjBINBR+6cL1q0CDfffDOGDx+e8HmjXO2JJ57AyJEjcf755+Ouu+7CihUrEAqFkn5/IiKijmTEiBGoqKiI2ebPn5/w2Hnz5kGSpCa33bt3t/MnsBeTbiIicpaNs5evXLkyJXfO07VcjYiIyFZ2xGuhQVEU5OXlxWxerzfhW86dOxcff/xxk1v//v1b1PyioiKUl5fH7DMeFxUVJffdJIETqRERkbOEgLBp9vLrr7/enETF0FgQt1O6lqsRdVQsKSdKDX2t7eRidmvX6S4oKEBBQUFS72koKSnBPffcg4MHD6JHjx4AgA0bNiAvLw8nnniiLe/RFuzpJiIiZwnYNqbb6/W2+M55ZyhXIyIispUd8drBdbr37duH0tJS7Nu3D6qqorS0FKWlpaiqqgIATJw4ESeeeCJ++tOf4v/+7//w6quv4o477sDs2bPb5SZ9Y9jTTUREHdLcuXMxY8aMJo9pTbnau+++G7MvHcrViIiIOpMFCxbgscceMx+PGjUKALB582aMGzcOiqLgpZdewnXXXYeSkhJkZ2dj+vTpWLx4caqaDIBJNxEROS75UrW26AzlakQdEUvLiVJHCBtitnBuxZF169Y1uka3oW/fvvjHP/7hWBvagkk3ERE5y5hILY3t27cPhw8fjilXA4CBAwciJycnplztN7/5DcrKytKiXI2IiMhWlslL28zBpDtTMekmIiJnGWO601imlqsRdSTs4SZKA5Z5VNrMwTHdmYpJNxERdXqZWq5GRERE6Y9JNxEROUoIAaGmd3k5ERERAdC0pGO2EAJg4UoMJt1EROSw9B/TTUSpw7JyojRi15hu/reOwXW6iYiIiIiIiBzCnm4iInJWBsxeTkRERIhOpJZsTzcnUmuISTcRETlLCIg0n72ciFKDpeVE6UVfp5uzl9uNSTcRETmLPd1ERESZget0O4JjuomIiIiIiIgcwp5uIiJyGHu6iageS8qJ0hjHdDuCSTcRETmLY7qJiIgygh1jugWT7jhMuomIyFkc001EUezlJkpzHNPtCI7pJiIiIiIiInIIe7qJiMhh7OkmIiLKCBzT7YiM6em+5557MHbsWGRlZaFLly4teo0QAgsWLEDPnj3h9/sxYcIEfPrpp842lIiIYghNQKhq0htlDsZsSoSl5UTpT2g2xGvO4xInY5LuUCiEqVOn4rrrrmvxa37zm9/gt7/9LVavXo133nkH2dnZmDRpEurq6hxsKRERUefGmE1ERFQvY8rLFy1aBABYt25di44XQmD58uW44447cMkllwAAHn/8cRQWFuKFF17A5ZdfnvB1wWAQwWDQfFxZWZlcw4mIOj3Bu96dTHvEbMZrIiIHaDbEbJaXx8mYnu7W+uKLL1BWVoYJEyaY+wKBAMaMGYNt27Y1+rolS5YgEAiYW+/evdujuUREHZcxe3myG3VYbYnZjNeZQ0gSS8uJMoUd8ZpJd5wOm3SXlZUBAAoLC2P2FxYWms8lMn/+fFRUVJjbV1995Wg7iYg6PCH0MWJJbtRxtSVmM14TEdlPaFryMZtLhsVJadI9b948SJLU5LZ79+52bZPX60VeXl7MRkRE1NmlW8xmvE5vRu82e7iJiFI8pnvu3LmYMWNGk8f079+/TecuKioCAJSXl6Nnz57m/vLycowcObJN5yQiorYQEBzTnfEYs4mIOj4htORjNsvL46Q06S4oKEBBQYEj5+7Xrx+KioqwceNGM2BXVlbinXfeadVsqkRElBwhAKEy6c50jNlERB2fULWkY7bQmHQ3lDFjuvft24fS0lLs27cPqqqitLQUpaWlqKqqMo8ZPHgwnn/+eQCAJEm46aabcPfdd+Nvf/sbPvzwQ0ybNg3FxcWYMmVKij4FEVEnJIQZxJPZKHMwZhMRZSjNhnjNnu44GbNk2IIFC/DYY4+Zj0eNGgUA2Lx5M8aNGwcA2LNnDyoqKsxjbr31VlRXV+Oaa67B0aNHccYZZ+CVV16Bz+dr17YTERF1JozZRERE9TIm6V63bl2z632KBndVJEnC4sWLsXjxYgdbRkRETRIc093ZMGYTEWUmoSUfsxv+fqcMSrqJiCgziWh5ORF1fJytnCiz2TKki2O64zDpJiIiZ3EiNSIioowgNBsmUmNPd5yMmUiNiIiIiIiIKNOwp5uIiBwlhICmqqluBhERETVDU7WkYzaXDIvHpJuIiJzFidSIiIgygtC05GM2y8vjsLyciIiIiNpMSJK5ERE5Ze/evZg5cyb69esHv9+PAQMGYOHChQiFQjHH7dy5E2eeeSZ8Ph969+6N3/zmNylqcT32dBMRkaM4ezkREVGGSOOJ1Hbv3g1N0/D73/8eAwcOxEcffYRZs2ahuroa999/PwCgsrISEydOxIQJE7B69Wp8+OGH+NnPfoYuXbrgmmuucaRdLcGkm4iInMXZy4mIiDKCUG24Ue7QmO7Jkydj8uTJ5uP+/ftjz549WLVqlZl0P/nkkwiFQlizZg08Hg+GDh2K0tJSPPjggylNulleTkREzoqO6U52I2oJljq3D37PRB2TEMnHayEEVFVFZWVlzBYMBm1vb0VFBfLz883H27Ztw1lnnQWPx2PumzRpEvbs2YMjR47Y/v4txaSbiIiIiIiIbLNz504EAoGYbcmSJba+x2effYbf/e53+J//+R9zX1lZGQoLC2OOMx6XlZXZ+v6twfJyIiJylL5kGHuqiYiI0p2+ZFjyY7pHjBiBrVu3xuz3er0Jj583bx6WLl3a5Dk//vhjDB482Hy8f/9+TJ48GVOnTsWsWbOSam97YE83ERE5KzqRWrKbUzJ5NlRqGkugiYhaR2g2xGtNQFEU5OXlxWyNJd1z587Fxx9/3OTWv39/8/hvvvkG48ePx9ixY/HII4/EnKuoqAjl5eUx+4zHRUVFNn9bLceebiIicpRI84nUMnk2VCIiIjvZMZFaa2cvLygoQEFBQYuO3b9/P8aPH4/Ro0dj7dq1kOXYPuSSkhLcfvvtCIfDcLvdAIANGzZg0KBB6Nq1a6vaZScm3URElDGCwSAqKytj9nm93kbvnrdEJs+GSskzesElh5a46WhYNUBEqbJ//36MGzcOffv2xf33349Dhw6Zzxm92FdccQUWLVqEmTNn4rbbbsNHH32Ehx56CMuWLUtVswGwvJyIiJxm4+zlK1eudHxiFiBzZkMlIiKylR3x2qGbmBs2bMBnn32GjRs3olevXujZs6e5GQKBANavX48vvvgCo0ePxty5c7FgwYKU3yBnTzcRETlL2LDmZ9T111+PRYsWxexLppc7EWM2VKOXG9BnPO3Xr1/McdbZUFNZskZERGQXY0x3cudwJumeMWMGZsyY0exxI0aMwBtvvOFIG9qKPd1ERJQxvF5viydmmTdvHiRJanLbvXt3zGsybTZUSkwSguXiRESUNtjTTUREjkrVRGpz585t9o54ps+GSkREZCc7JlJzqrw8kzHpJiIiZwkBTWv/pLszzIZKRERkJ03Tko7ZrZ29vDNgeTkRETlKpPk63cZsqH369DFnQy0rK0NZWZl5zBVXXAGPx4OZM2di165deOaZZ/DQQw9hzpw5jrWLkmeUmTcsNef63a3D74uo87BjnW6nxnRnMvZ0ExFRp2bMhvrZZ5+hV69eMc8Zd+uN2VBnz56N0aNHo3v37mkxGyoRERGlPybdRETkLCEgVDXVrWhUJs+GSkREZCe9tzrJmC3af0hZumPSTUREDhPmOttE7aEtZdDW13DmcyLqtISWdMzmmO54TLqJiMhRQkvN7OVERETUOrbMo8Ix3XEyZiK1e+65B2PHjkVWVha6dOnSotfMmDEjbk3WyZMnO9tQIiKiTi4dY3Zjk6olkmjiMOu+zjCxWGf4jERE7SVjerpDoRCmTp2KkpISPProoy1+3eTJk7F27VrzsdfrdaJ5RETUGGHDmp+UURiziYgykx093Swvj5cxSfeiRYsAAOvWrWvV67xeL4qKilp8fDAYRDAYNB9XVla26v2IiCiWEAIak+5OpT1iNuM1EZH9NC35mM0lw+JlTHl5W23ZsgU9evTAoEGDcN111+G7775r8vglS5YgEAiYW+/evduppURERJ1ba2K2k/HaWopulFi3pjydiIjIqkMn3ZMnT8bjjz+OjRs3YunSpdi6dSvOP/98qE1Mgz9//nxUVFSY21dffdWOLSYi6piEpiW9UcfW2pjNeE1EZD9b4jVvTsZJaXn5vHnzsHTp0iaP+fjjjzF48OA2nf/yyy83fx4+fDhGjBiBAQMGYMuWLTj33HMTvsbr9XIMGRGRjQTHdHcI6RazGa+JiOwnNI7pdkJKk+65c+dixowZTR7Tv39/296vf//+6N69Oz777LNGk24iIrKZJiBUBuBM19ljdmeZxbuzfE4iaoRqQ8zmffY4KU26CwoKUFBQ0G7v9/XXX+O7775Dz5492+09iYiIOgLGbCIiorbJmDHd+/btQ2lpKfbt2wdVVVFaWorS0lJUVVWZxwwePBjPP/88AKCqqgq33HILtm/fjr1792Ljxo245JJLMHDgQEyaNClVH4OIqNMRAtBULemNMgdjNhFRZtJUkXS8Znl5vIxZMmzBggV47LHHzMejRo0CAGzevBnjxo0DAOzZswcVFRUAAEVRsHPnTjz22GM4evQoiouLMXHiRNx1110cA0ZE1K4Elw/pZNIxZlvLpq0zkDdXTp1otvLmXtPYe7WGcQ7Olk5E7UmI5GM2k+54GZN0r1u3rtn1Pq1/wX6/H6+++qrDrSIiouboPd0MwJ0JYzYRUWbSe7qTTLpZnBYnY5JuIiIiIju0pqe6Pc/lxOuJiCj1mHQ3w7gTf+zYsRS3hIjIecbvOltLw7hkGLUDxmsi6myciNl2LBnGdbrjMeluhvGP+XsDB6a4JURE7efYsWMIBAL2nEyAS4aR4xiviaizsjVm27BkGOdxicekuxnFxcX46quvkJubCymJEq/Kykr07t0bX331FfLy8mxsYebjd5MYv5fE+L0kZtf3IoTAsWPHUFxcbGPriJxnV7wG+HumMfxeEuP3khi/l8Ts/F4YszMHk+5myLKMXr162Xa+vLw8/uJpBL+bxPi9JMbvJTE7vhfb7pZHCY0TqZHz7I7XAH/PNIbfS2L8XhLj95KYXd+L3TFbU5OP2awuj8ekm4iIHCU4ppuIiCgj2DKmm+XlcZh0ExGR4zQGYCIiorSnaSLpmM11uuPJqW5AZ+H1erFw4UJ4vd5UNyXt8LtJjN9LYvxeEuP3QmQf/n9KjN9LYvxeEuP3khi/l85JErwVQUREDlm6dCk2LX8Qi4edmPS5Tn9tC7788kv06dPHhpYRERGRld/vx+Mnj0CfrKykzvPH/+yFevZ4rFmzxqaWZT6WlxMRkbOEgMYx3URERGlPqMnHbC4ZFo9JNxEROUpoXKebiIgoEwgt+XW6OX15PI7pJiIiIiIiInIIk24iInKW0Hu6k92IiIjIWXbEa+HgiLKLL74Yffr0gc/nQ8+ePfHTn/4U33zzTcwxO3fuxJlnngmfz4fevXvjN7/5jXMNaiEm3Smwd+9ezJw5E/369YPf78eAAQOwcOFChEKhVDct5e655x6MHTsWWVlZ6NKlS6qbkzIrVqzA8ccfD5/PhzFjxuDdd99NdZNS7vXXX8dFF12E4uJiSJKEF154IdVNSrklS5bg1FNPRW5uLnr06IEpU6Zgz549qW5WHBEd053sRtTeGK8bx3hdjzE7FuN1YpkSs+2I107O0z1+/Hj8+c9/xp49e/CXv/wFn3/+OX74wx+az1dWVmLixIno27cvduzYgfvuuw933nknHnnkEcfa1BJMulNg9+7d0DQNv//977Fr1y4sW7YMq1evxq9+9atUNy3lQqEQpk6diuuuuy7VTUmZZ555BnPmzMHChQvxr3/9CyeddBImTZqEgwcPprppKVVdXY2TTjoJK1asSHVT0sbWrVsxe/ZsbN++HRs2bEA4HMbEiRNRXV2d6qYRdQiM141jvNYxZsdjvE6MMdseN998M04//XT07dsXY8eOxbx587B9+3aEw2EAwJNPPolQKIQ1a9Zg6NChuPzyy/Hzn/8cDz74YErbzSXD0sR9992HVatW4T//+U+qm5IW1q1bh5tuuglHjx5NdVPa3ZgxY3Dqqafi4YcfBgBomobevXvjxhtvxLx581LcuvQgSRKef/55TJkyJdVNSSuHDh1Cjx49sHXrVpx11lmpbg4Afcmw1+67H/874HtJn+vsd7dxyTBKOcbrWJ05XgOM2c1hvG5cOsZsv9+PR08YjF4+f1LnWbf/K6jnnoPf/e53Mfu9Xq+t65MfPnwY1113Hfbv348333wTADBt2jRUVlbGVFhs3rwZ55xzDg4fPoyuXbva9v6twZ7uNFFRUYH8/PxUN4NSLBQKYceOHZgwYYK5T5ZlTJgwAdu2bUthyygTVFRUAEDa/S7Ry8uT34jSAeM1GRizKRnpGrPtiNdC08dVBwKBmG3JkiW2tPG2225DdnY2unXrhn379uHFF180nysrK0NhYWHM8cbjsrIyW96/LZh0p4HPPvsMv/vd7/A///M/qW4Kpdi3334LVVUT/rJI5S8KSn+apuGmm27C97//fQwbNizVzYklAKFqSW9EqcZ4TVaM2dRW6Ryz9SXDkozZQmDEiBGoqKiI2ebPn5/wPefNmwdJkprcdu/ebR5/yy234IMPPsD69euhKAqmTZvm6DhyOzDptlFr/8EAwP79+zF58mRMnToVs2bNSlHLndWW74WIWmf27Nn46KOP8PTTT6e6KURpj/E6McZrovbRGWK2oijIy8uL2RorLZ87dy4+/vjjJrf+/fubx3fv3h0nnHACzjvvPDz99NP4xz/+ge3btwMAioqKUF5eHnN+43FRUZFDn7Z5rpS9cwc0d+5czJgxo8ljrP9gvvnmG4wfPx5jx45N+Yx6Tmrt99KZde/eHYqiJPxlkcpfFJTebrjhBrz00kt4/fXX0atXr1Q3J57GJb8ovTBeJ8Z43TqM2dQW6R6zbVmmU2vd6wsKClBQUNC2t9L0SrhgMAgAKCkpwe23345wOAy32w0A2LBhAwYNGpSy8dwAk25bteYfzP79+zF+/HiMHj0aa9euhSx33KKDZP4jdTYejwejR4/Gxo0bzUlHNE3Dxo0bccMNN6S2cZR2hBC48cYb8fzzz2PLli3o169fqpuUkBDgmGxKK4zXiTFetw5jNrVGpsRsO+ZRcarS+5133sF7772HM844A127dsXnn3+O//3f/8WAAQNQUlICALjiiiuwaNEizJw5E7fddhs++ugjPPTQQ1i2bJkzjWohJt0psH//fowbNw59+/bF/fffj0OHDpnPdfY7o/v27cPhw4exb98+qKqK0tJSAMDAgQORk5OT2sa1kzlz5mD69Ok45ZRTcNppp2H58uWorq7GVVddleqmpVRVVRU+++wz8/EXX3yB0tJS5Ofnd9rZrGfPno2nnnoKL774InJzc80xhIFAAH5/cjOP2klAQGjpPSb74osvRmlpKQ4ePIiuXbtiwoQJWLp0KYqLi81jdu7cidmzZ+O9995DQUEBbrzxRtx6660pbDU5jfG6cYzXOsbseIzXiWVKzIbQko7ZTo2vzsrKwl//+lcsXLgQ1dXV6NmzJyZPnow77rjDLF0PBAJYv349Zs+ejdGjR6N79+5YsGABrrnmGkfa1FJcMiwF1q1b1+gv487+1zFjxgw89thjcfs3b96McePGtX+DUuThhx/Gfffdh7KyMowcORK//e1vMWbMmFQ3K6W2bNmC8ePHx+2fPn061q1b1/4NSgOSJCXcv3bt2mZLRNvL0qVL8eqvl2J+cfJ39Cfu/pdjS4YtW7YMJSUl6NmzJ/bv349f/vKXAIC3334bAFBZWYkTTjgBEyZMwPz58/Hhhx/iZz/7GZYvX57yQE7OYbxuHON1PcbsWIzXiWVCzPb7/VhV3B/HeXxJnedP3x6A66LJWLNmjU0ty3xMuomIyDFLly7Fq/csxW1Fxyd9rsmffoBPPvkkbqZgu9f9BIC//e1vmDJlCoLBINxuN1atWoXbb78dZWVl8Hg8APRJp1544QVOLEVERB2C3+/HisJ+SSfdT3x3AO5LzmfSbdFxByYREVFaEKJ+YpZkNgBYuXKlY+t+Gg4fPownn3wSY8eONSdh2bZtG8466ywz4QaASZMmYc+ePThy5Iit709ERJQqQks+ZoNdunGYdBMRUca4/vrrW7zuZ2vddtttyM7ORrdu3bBv3z68+OKL5nNlZWUJ1+I1niMiIiJqDJNuIiJyliYgVC3pDdBLyVu67mdr1xy+5ZZb8MEHH2D9+vVQFAXTpk3r9ON2iYioc7EjXotWLhnWGXD2ciIicpQQyS8/0hatXXO4e/fu6N69O0444QQMGTIEvXv3xvbt21FSUoKioqKEa/ECnMWaiIg6Dk0V0ORklwxj0t0Qk24iInJWdEx3e0tmzWEtulxKMBgEAJSUlOD2229HOBw2x3lv2LABgwYNQteuXe1pMBERUappIvmYnd6rhKYEy8uJiKhTe+edd/Dwww+jtLQUX375JTZt2oQf//jHGDBgAEpKSgAAV1xxBTweD2bOnIldu3bhmWeewUMPPYQ5c+akuPVERESU7tjTTUREjhIAtDQuNcvKysJf//pXLFy4ENXV1ejZsycmT56MO+64wxwvHggEsH79esyePRujR49G9+7dsWDBAq7RTUREHYomRNIxW3D68jhMuomIyFECAmoaJ93Dhw/Hpk2bmj1uxIgReOONN9qhRURERKmhiuRjNudRi8ekm4iIHCUEkIIh3URERNRKmg0xmyE/Hsd0ExERERERETmEPd1EROQoAaR1eTkRERHpVJF8zE7neVxShT3dRGnk8ccfR7du3cxligxTpkzBT3/60xS1iig5etKd/EZElC4Yr6mj0pB8vOaKYfGYdBOlkalTp0JVVfztb38z9x08eBAvv/wyfvazn6WwZURERGRgvCai1mDSTZRG/H4/rrjiCqxdu9bc98QTT6BPnz4YN25c6hpGlAQh6mdDTWYjIkoXjNfUUdkRrxmy43FMN1GamTVrFk499VTs378fxx13HNatW4cZM2ZAkqRUN42oTYzyciKijoTxmjoiO4Z0sbw8HpNuojQzatQonHTSSXj88ccxceJE7Nq1Cy+//HKqm0XUZum+TjcRUVswXlNHpNlQXSYY8+Mw6SZKQ1dffTWWL1+O/fv3Y8KECejdu3eqm0REREQNMF4TUUtwTDdRGrriiivw9ddf4w9/+AMnZKGMJ2yYuZzl6USUjhivqaOxI16zvDwek26iNBQIBHDZZZchJycHU6ZMSXVziJLCJcOIqKNivKaORrMhXrO6PB7Ly4nS1P79+3HllVfC6/WmuilESTFmLyci6ogYr6kjsWPFEPZ0x2PSTZRmjhw5gi1btmDLli1YuXJlqptDRERECTBeE1FLMekmSjOjRo3CkSNHsHTpUgwaNCjVzSFKGpcMI6KOiPGaOiINycdsFrfFY9JNlGb27t2b6iYQ2UoP4IzARNSxMF5TR2RPeTljfkOcSI2IiIiIiIjIIezpJiIiRwnOPk5ERJQR7FgxhMVt8Zh0ExGRowSSL1UjIiIi52mcvdwRTLqJiMhRnEiNiIgoM7Cn2xkc001ERERERETkEPZ0ExGRo/Qx3bztTURElO7sKS9nzG+ISTcRETmO47uIiIjSn4bkYzZT7ngsLyciIkcZ63QnuxEREZGzNJF8zG6PkB0MBjFy5EhIkoTS0tKY53bu3IkzzzwTPp8PvXv3xm9+8xvnG9QMJt1ERERERESUMW699VYUFxfH7a+srMTEiRPRt29f7NixA/fddx/uvPNOPPLIIyloZT2WlxMRkaM4ezkREVFmUJF8zHZ6SNk///lPrF+/Hn/5y1/wz3/+M+a5J598EqFQCGvWrIHH48HQoUNRWlqKBx98ENdcc43DLWsck24iInKUYHk4ERFRRlCFgJrkqGwhBFRVRWVlZcx+r9cLr9eb1LnLy8sxa9YsvPDCC8jKyop7ftu2bTjrrLPg8XjMfZMmTcLSpUtx5MgRdO3aNan3byuWlxMREREREZFtdu7ciUAgELMtWbIkqXMKITBjxgxce+21OOWUUxIeU1ZWhsLCwph9xuOysrKk3j8Z7OkmIiJHsbyciIgoM2hCLzFP6hwARowYga1bt8bsb6yXe968eVi6dGmT5/z444+xfv16HDt2DPPnz0+yhe2PSTcRETlKT7qZdRMREaU7e8rLAUVRkJeX16Lj586dixkzZjR5TP/+/bFp0yZs27YtLnk/5ZRTcOWVV+Kxxx5DUVERysvLY543HhcVFbX8Q9iMSTcRETlKCPZ0ExERZQK7erpbo6CgAAUFBc0e99vf/hZ33323+fibb77BpEmT8Mwzz2DMmDEAgJKSEtx+++0Ih8Nwu90AgA0bNmDQoEEpG88NMOkmIiIiIiKiNNenT5+Yxzk5OQCAAQMGoFevXgCAK664AosWLcLMmTNx22234aOPPsJDDz2EZcuWtXt7rZh0ExGRowQ4ezkREVEmsGv28lQJBAJYv349Zs+ejdGjR6N79+5YsGBBSpcLA5h0ExGRw8IQqBSRVDeDiIiImlEFFbKQkjpH0PGVunXHH398wgR/xIgReOONN9qlDS3FpJuIiBzzve99D3tRi73Yn/S5CgsLWzwpCxEREbXOCSecgL/t3GnLua4YNMiW83QUkkhl/z8REXV4doYZSUru7jsRERElZndayJhdj0k3ERERERERkUPkVDeAiIiIiIiIqKNi0k1ERERERETkECbdRERERERERA5h0k1ERERERETkECbdRERERERERA5h0k1ERERERETkECbdRERERERERA5h0k1ERERERETkkP8Pj9z7lZfN27YAAAAASUVORK5CYII=\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# compute the effective indices for the first two modes\n", "n_1 = phase_control.n_eff.values[0][0]\n", "n_2 = phase_control.n_eff.values[0][1]\n", "print(f\"Effective indices: {n_1}, {n_2}\")\n", "\n", "# plot the mode profiles\n", "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 4), tight_layout=True)\n", "\n", "phase_control.plot_field(\"Ey\", mode_index=0, ax=ax1)\n", "phase_control.plot_field(\"Ey\", mode_index=1, ax=ax2)" ] }, { "cell_type": "markdown", "id": "50fa4702", "metadata": {}, "source": [ "To perform the TMM analysis, we still need to obtain $\\theta_{t1}$ and $\\theta_{t2}$. This can be done by setting up FDTD simulations for the tapers. To get the phase shift, we place one [ModeMonitor](../_autosummary/tidy3d.ModeMonitor.html) right before the taper and another [ModeMonitor](../_autosummary/tidy3d.ModeMonitor.html) right after the taper. The phase difference calculated from the mode amplitudes is the phase shift we are looking for. Since the tapers are only 1 $\\mu m$ in length, the FDTD simulations are very fast.\n", "\n", "First, let's do the top taper that transitions from a 500 nm waveguide to a 600 nm waveguide." ] }, { "cell_type": "code", "execution_count": 9, "id": "fd2a853f", "metadata": {}, "outputs": [], "source": [ "L_t = 1 # length of the tapers\n", "l = 10 # length of the straight waveguide\n", "\n", "# define vertices\n", "vertices = [(-l, 0), (L_t + l, 0), (L_t + l, w_top), (L_t, w_top), (0, w_sc), (-l, w_sc)]\n", "\n", "# define the top taper structure\n", "taper_top = td.Structure(\n", " geometry=td.PolySlab(\n", " vertices=vertices,\n", " axis=2,\n", " slab_bounds=(-h_si / 2, h_si / 2),\n", " ),\n", " medium=si,\n", ")" ] }, { "cell_type": "code", "execution_count": 10, "id": "9faea023", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# simulation domain size\n", "Lx = L_t + l / 2\n", "Ly = 5 * w_sc\n", "Lz = 9 * h_si\n", "\n", "# define a mode source that injects te mode\n", "mode_spec = td.ModeSpec(num_modes=1, target_neff=3.47)\n", "mode_source = td.ModeSource(\n", " center=(-l / 5, w_sc / 2, 0),\n", " size=(0, Ly, 4 * h_si),\n", " source_time=td.GaussianPulse(freq0=freq0, fwidth=fwidth),\n", " direction=\"+\",\n", " mode_spec=mode_spec,\n", " mode_index=0,\n", " num_freqs=7,\n", ")\n", "\n", "# define a mode monitor to measure the phase before the taper\n", "mode_monitor_1 = td.ModeMonitor(\n", " center=(0, w_sc / 2, 0),\n", " size=(0, Ly, 4 * h_si),\n", " freqs=freqs,\n", " mode_spec=mode_spec,\n", " name=\"mode_1\",\n", ")\n", "\n", "# define a mode monitor to measure the phase after the taper\n", "mode_monitor_2 = td.ModeMonitor(\n", " center=(L_t, w_top / 2, 0),\n", " size=(0, Ly, 4 * h_si),\n", " freqs=freqs,\n", " mode_spec=mode_spec,\n", " name=\"mode_2\",\n", ")\n", "\n", "run_time = 4e-13 # simulation run time\n", "\n", "# define a simulation\n", "sim = td.Simulation(\n", " center=(0, w_sc / 2, 0),\n", " size=(Lx, Ly, Lz),\n", " grid_spec=td.GridSpec.auto(min_steps_per_wvl=20, wavelength=lda0),\n", " structures=[taper_top],\n", " sources=[mode_source],\n", " monitors=[mode_monitor_1, mode_monitor_2],\n", " run_time=run_time,\n", " medium=sio2,\n", ")\n", "\n", "# plot simulation\n", "sim.plot(z=0)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 11, "id": "71c60cd6", "metadata": { "scrolled": false }, "outputs": [ { "data": { "text/html": [ "
[11:19:34] Created task 'top_taper' with task_id 'fdve-29043c49-cb78-4092-8442-5c9df9060b47v1'.       webapi.py:140\n",
       "
\n" ], "text/plain": [ "\u001b[2;36m[11:19:34]\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'top_taper'\u001b[0m with task_id \u001b[32m'fdve-29043c49-cb78-4092-8442-5c9df9060b47v1'\u001b[0m. \u001b]8;id=749374;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=649952;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#140\u001b\\\u001b[2m140\u001b[0m\u001b]8;;\u001b\\\n" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
           View task using web UI at                                                                  webapi.py:142\n",
       "           'https://tidy3d.simulation.cloud/workbench?taskId=fdve-29043c49-cb78-4092-8442-5c9df9060b4              \n",
       "           7v1'.                                                                                                   \n",
       "
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       "           cost after a simulation run.                                                                            \n",
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[11:20:29] loading SimulationData from data/simulation_data.hdf5                                      webapi.py:513\n",
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   "source": [
    "job = web.Job(simulation=sim, task_name=\"top_taper\")\n",
    "sim_data = job.run(path=\"data/simulation_data.hdf5\")"
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  {
   "cell_type": "markdown",
   "id": "2afb87ea",
   "metadata": {},
   "source": [
    "Compute and plot $\\theta_{t1}$. As expected, the phase shift is linear. Note that the phase is only significant mod 2$\\pi$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "477b3a7f",
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "
"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# phase at the first monitor\n",
    "phase_1 = np.angle(sim_data[\"mode_1\"].amps.sel(mode_index=0, direction=\"+\"))\n",
    "\n",
    "# phase at the second monitor\n",
    "phase_2 = np.angle(sim_data[\"mode_2\"].amps.sel(mode_index=0, direction=\"+\"))\n",
    "\n",
    "# phase shift at the top taper\n",
    "theta_t1 = phase_2 - phase_1\n",
    "\n",
    "plt.plot(ldas, np.unwrap(theta_t1))\n",
    "plt.xlabel(\"$\\lambda (\\mu m)$\")\n",
    "plt.ylabel(\"Phase shift\")\n",
    "plt.xlim(1.5, 1.6)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "99074deb",
   "metadata": {},
   "source": [
    "Similarly, we simulate the taper that transitions from a 500 nm waveguide to a 300 nm waveguide."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "eb2a75e0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "
"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# define vertices\n",
    "vertices = [(-l, 0), (L_t + l, 0), (L_t + l, w_bottom), (L_t, w_bottom), (0, w_sc), (-l, w_sc)]\n",
    "\n",
    "# define the bottom taper structure\n",
    "taper_bottom = td.Structure(\n",
    "    geometry=td.PolySlab(\n",
    "        vertices=vertices,\n",
    "        axis=2,\n",
    "        slab_bounds=(-h_si / 2, h_si / 2),\n",
    "    ),\n",
    "    medium=si,\n",
    ")\n",
    "\n",
    "# copy previous simulation and update the structure\n",
    "sim = sim.copy(update={\"structures\": [taper_bottom]})\n",
    "sim.plot(z=0)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cb906ac6",
   "metadata": {},
   "source": [
    "Compute and plot $\\theta_{t2}$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "5b2f6267",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "
[11:20:30] Created task 'bottom_taper' with task_id 'fdve-252b7942-9397-41a7-b95e-1deec3761f6bv1'.    webapi.py:140\n",
       "
\n"
      ],
      "text/plain": [
       "\u001b[2;36m[11:20:30]\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'bottom_taper'\u001b[0m with task_id \u001b[32m'fdve-252b7942-9397-41a7-b95e-1deec3761f6bv1'\u001b[0m.    \u001b]8;id=220421;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=549998;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#140\u001b\\\u001b[2m140\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "
           View task using web UI at                                                                  webapi.py:142\n",
       "           'https://tidy3d.simulation.cloud/workbench?taskId=fdve-252b7942-9397-41a7-b95e-1deec3761f6              \n",
       "           bv1'.                                                                                                   \n",
       "
\n"
      ],
      "text/plain": [
       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mView task using web UI at                                                                  \u001b]8;id=294465;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=893911;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#142\u001b\\\u001b[2m142\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m           \u001b[0m\u001b]8;id=834317;https://tidy3d.simulation.cloud/workbench?taskId=fdve-252b7942-9397-41a7-b95e-1deec3761f6bv1\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=371514;https://tidy3d.simulation.cloud/workbench?taskId=fdve-252b7942-9397-41a7-b95e-1deec3761f6bv1\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=834317;https://tidy3d.simulation.cloud/workbench?taskId=fdve-252b7942-9397-41a7-b95e-1deec3761f6bv1\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=777508;https://tidy3d.simulation.cloud/workbench?taskId=fdve-252b7942-9397-41a7-b95e-1deec3761f6bv1\u001b\\\u001b[32mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=834317;https://tidy3d.simulation.cloud/workbench?taskId=fdve-252b7942-9397-41a7-b95e-1deec3761f6bv1\u001b\\\u001b[32m-252b7942-9397-41a7-b95e-1deec3761f6\u001b[0m\u001b]8;;\u001b\\ \u001b[2m             \u001b[0m\n",
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5k5UrV161HNWuXZu0tDQOHjyIxWIB4IMPPmDcuHEcO3b1iwqmp6eTnp6e83NycjJBQUE6lGagtEwrYxbt5tM1hwCoGeDN+Psb07CSn7HBRETEaRXUoTTDi9E/dejQgRo1ajBt2rQrnmvfvj2urq78+uuvOcsWLVrEnXfeSXp6Om5ubv+5fc0xch4r957iuW+3cupCOq4WEyM61uHJ8OpYzCajo4mIiJMpdnOM/mKz2XKN8Pxd27Zt2b9/Pzbb/66Js3fvXipUqHBdpUicS/vaZVkyLJw76pcj02pn7OLdPDhjHYnndb81ERExhqHFKDIykujoaA4dOkRcXByRkZGsWLGCvn37AhAREUFkZGTO+gMHDuTs2bMMHTqUvXv3smDBAt555x0GDRpk1EeQm+Rfwo1pDzfj3XtD8HKzsP7gWTqPj+bH2ESjo4mISDHkYuSbnzx5koiICI4dO4afnx8hISEsWbKEjh07ApCQkIDZ/L/uFhQUxJIlSxg+fDghISFUqlSJoUOH8sILLxj1EcQBTCYTvVsE0aq6P8O+jmVLwnmGzo1l+a6TvN2jIX6eN3ZpBhERkbxyujlG+U1zjJxbltXGRysOMGH5Pqw2OxX9PHivdyPa1ChjdDQRETFQsZ1jJMWbi8XMkNtrMW9AKFVLe3E0KY2+M9fzzsJdpGfptH4REclfKkbilJpULsWCIWE80LIydjtMj46nx5Q17Dl+wehoIiJShKkYidMq4e7C6J7BzIhojn8JN3YdS6bb5Bg+jjmIzVasjgCLiEgBUTESp9exfjkWDwvj1jplyciy8fYvO4n4ZAPHk9KMjiYiIkWMipEUCgE+HnzyaAtG9miIh6uZmP2n6TQ+mgXbrn7FcxERkRuhYiSFhslk4qHWVVgwJIzgSn4kXcpk0Ow/GPFNLMlpmUbHExGRIkDFSAqdGmW9+W5gGwbfWhOzCb7/I5Eu41ex4eBZo6OJiEghp2IkhZKbi5nnOtXhm6dCCfL3JPH8Je6fvpaxi3eTkWX77w2IiIhchYqRFGrNq/qzcEgYvZoFYrdD1IoD3PPRavad0Gn9IiKSdypGUuj5eLgyrlcjpj7UlFJeruw4msxdk2KYtVqn9YuISN6oGEmR0blhBZYMC6d97bKkZ9l48+edPDJLp/WLiMj1UzGSIiXA14NP+7Xg7e4NcHcxs2qfTusXEZHrp2IkRY7JZOLh0KpXntb/tU7rFxGRf6diJEVWzYB/nNa/5fJp/evjzxgdTUREnJSKkRRpVzutv8+MdYxeuIv0LKvR8URExMmoGEmx0LyqP4uGhtO7+eXT+qdFx9Njyhr2HNdp/SIi8j8qRlJseLu78O59jZj6UDP8S7ix61gy3SbHMHNVvE7rFxERQMVIiqHODcuzeFgYt9YpS0aWjZELdvHwJ+s5lnTJ6GgiImIwFSMplgJ8PPjk0RaM7NEQT1cLq/efodOH0fwYm2h0NBERMZCKkRRbJpOJh1pXYcGQdjQKKklyWhZD58YyZM4WklJ1Wr+ISHGkYiTFXvWy3swbEMqwDrWwmE38tPUonSdEs3r/aaOjiYhIAVMxEgFcLWaGdajNvAGhVCtTgmNJafSduZ63ft5JWqZO6xcRKS5UjET+pknlUiwY0o6HWlcG4JPVB+k2KYYdR5MMTiYiIgVBxUjkH7zcXBjZI5hZj7agjLc7+05epMeU1UStOIBVp/WLiBRpKkYi13Br3QCWDAujU4NyZFrtjF28mz7T13LkbKrR0UREJJ+oGIn8i9Le7kx9qBnj7gvB292FjYfO0Xl8NN9sOoLdrtEjEZGiRsVI5D+YTCZ6NQ9i0dAwWlQtRUqGlf+bt42nvtjMmYvpRscTEREHUjESuU5B/l7MfTKUFzrXxdViYunOE3QaH83yXSeMjiYiIg6iYiSSBxaziYG31OCHQW2pU86H0xcz6P/ZJiK/30ZKepbR8URE5CapGIncgAYV/fhxcFueCKuGyQRzNhyhy4RVbD581uhoIiJyE1SMRG6Qh6uFl7vWZ/bjralU0pOEs6n0mrqWcUt2k5FlMzqeiIjcABUjkZsUWqM0i4aF0bNpJWx2mPL7Ae75aDX7TlwwOpqIiOSRipGIA/h6uPJB78Z81LcpJb1c2XE0ma6TYvg45iA2XRRSRKTQUDEScaA7gyuwdFg47WuXJSPLxtu/7OShj9dz9Pwlo6OJiMh1UDEScbAAXw8+7deCkT0a4ulqYc2BM3QaH80PWxJ1UUgRESenYiSSD0wmEw+1rsKCIe1oFFSSC2lZDPs6lsFztnA+NcPoeCIicg0qRiL5qHpZb74bEMqIjrWxmE0s2HaMOz6MZsWek0ZHExGRq1AxEslnLhYzQ26vxfyn21CjbAlOXkjn0VkbefWH7aRm6KKQIiLORMVIpICEBJZkwZAwHm1TFYAv1h2m68QYtiScMzaYiIjkUDESKUAerhbeuLsBX/RvSXlfDw6eTuG+qWv5YOkeMq26KKSIiNFUjEQMEFarLEuGhdO9cUWsNjsTf9tPz4/WsP+kLgopImIkFSMRg/h5uTKhTxMmPdAEP09X4hKT6Doxhk90UUgREcOoGIkYrFujiiwZFk5YrTKkZ9l465edPPyJLgopImIEFSMRJ1Dez4PPH2vJ290b4OFqZvX+yxeFnL/lT10UUkSkAKkYiTgJk8nEw6FVWTgkLOeikMO/3sqg2X9wLkUXhRQRKQgqRiJO5u8XhXQxm1gYd5w7xkfz+25dFFJEJL+pGIk4of9dFLItNcqW4NSFdPp9upHI7+NISddFIUVE8ouKkYgTCw70Y8GQMB5rWw2AORsS6DJhFZsOnTU4mYhI0aRiJOLkPFwtvNatPrMfb0VFPw8SzqbSe9paxi7eTXqW1eh4IiJFiqHFKCoqipCQEHx9ffH19SU0NJRFixZd12vnzp2LyWSiR48e+RtSxEm0qVmGxcPD6dm0EjY7RK04QPfJq9l1LNnoaCIiRYahxSgwMJAxY8awefNmNm3axG233Ub37t3ZsWPHv77u0KFDPPfcc4SFhRVQUhHn4Ovhyge9GzP1oab4l3Bj9/ELdJ+8mqkrD2DVRSFFRG6aye5kF0nx9/dn3Lhx9O/f/6rPW61WwsPDeeyxx1i1ahXnz5/nhx9+uO7tJycn4+fnR1JSEr6+vg5KLVLwTl5I46Xv4/h11+Wz1VpULcX7vRpTubSXwclERByvoL6/nWaOkdVqZe7cuaSkpBAaGnrN9d566y0CAgKuWZz+KT09neTk5FwPkaIgwMeDGRHNeffeEEq4Wdh46BxdJkQzZ0OCLgopInKDDC9GcXFxeHt74+7uzoABA5g/fz7169e/6roxMTF8/PHHzJgx47q3P3r0aPz8/HIeQUFBjoouYjiTyUTvFkEsHhZOy2r+pGRYifw+jv6fbeLkhTSj44mIFDqGF6M6deoQGxvL+vXrGThwII888gg7d+68Yr0LFy7w8MMPM2PGDMqUKXPd24+MjCQpKSnnceTIEUfGF3EKQf5ezH2iNS/fWQ83FzO/7T5Jpw+jWRh3zOhoIiKFitPNMerQoQM1atRg2rRpuZbHxsbSpEkTLBZLzjKbzQaA2Wxmz5491KhR4z+3rzlGUtTtOX6BEd/EsuPo5cPGPRpX5M27G+Ln5WpwMhGRG+e0c4w+//xz0tPTr1iekZHB559/ftOBbDbbVbdft25d4uLiiI2NzXncfffd3HrrrcTGxuoQmUi2OuV9mP90W565rSZmE/wQe5RO46NZte+U0dFERJxenkeMLBYLx44dIyAgINfyM2fOEBAQgNV6/Reci4yMpEuXLlSuXJkLFy4we/Zsxo4dy5IlS+jYsSMRERFUqlSJ0aNHX/X1jz76qM5KE/kXfySc49lvtnLwdAoAEaFVeLFLXbzcXAxOJiKSN047YmS32zGZTFcs//PPP/Hz88vTtk6ePElERAR16tTh9ttvZ+PGjTmlCCAhIYFjxzRHQuRGNa1cigVD2hERWgWAz9cepuvEGP5IOGdwMhER53TdI0ZNmjTBZDKxdetWGjRogIvL//7FabVaOXjwIJ07d+abb77Jt7COoBEjKa5W7TvF899u43hyGmYTDLylBkNvr42bi+HnYIiI/KeC+v6+7vH0v269ERsbS6dOnfD29s55zs3NjapVq3Lvvfc6PKCIOEZYrbIsGRbOGz/vYP6WRKb8foDfd5/ig/sbUbe8/pEgIgLXOWLUs2dPPv30U3x9ffnss8/o06cP7u7uBZHP4TRiJAKL4o7x0vw4zqVm4mYx8+wdtXk8rDoW85WHyUVEnEFBfX9fVzFyc3Pj8OHDVKhQ4ZqTrwsLFSORy652S5H3ejWiSukSBicTEbmSUxWjkJAQmjZtyq233kq/fv2YOHHiNUNFREQ4PKQjqRiJ/I/dbufbTX/y1i87uZiehZebhZe71uPBlpWvepKFiIhRnKoYrVmzhhEjRnDgwAHOnj2Lj4/PVf/SNJlMnD17Nl+COoqKkciVjpxN5blvt7L+4OXf3/a1yzL23hDK+3kYnExE5DKnKkZ/ZzabOX78uA6liRQxNpudWWsOMXbxbjKybPh5uvJW9wbc3aiiRo9ExHBOex2jgwcPUrZs2fzIIiIGMptN9G9XjYVD2hES6EfSpUyGzo1l8OwtnE3JMDqeiEiBuK4Ro23bttGwYUPMZjPbtm3713VDQkIcFi4/aMRI5L9lWm189PsBJv62D6vNThlvd8beG8zt9coZHU1EiimnOpT298NnZrMZk8nE31/2188mkylPtwQxgoqRyPWL+zOJEd/Esu/kRQDubx7EK3fVw8dDN6QVkYLlVMXo8OHDVK58+SyVw4cP/+u6VapUcVi4/KBiJJI3aZlW3l+6h5kxB7HboVJJT97r1YjQGqWNjiYixYhTFaOiRMVI5Masiz/Dc99u5c9zlwB4rG01/q9zHTxcLQYnE5HiwKmL0b59+/j99985efIkNpst13Ovvfaaw8LlBxUjkRt3MT2LUQt2MmfDEQBqlC3BB70b0yiopLHBRKTIc9piNGPGDAYOHEiZMmUoX758rtN4TSYTf/zxh8NDOpKKkcjN+333SV74bhsnL6RjMZsYdEsNnrm9Fq4W3ZBWRPKH0xajKlWq8PTTT/PCCy/kV6Z8pWIk4hjnUjJ47acd/Lz1KAANKvryQe/G1CnvY3AyESmKnPY6RufOnaNXr175kUVECpFSJdyY9EATJj3QhJJeruw4mky3STFMW3kAq61YTV0UkSIkz8WoV69eLF26ND+yiEgh1K1RRZYOC+e2ugFkWG2MXrSbPtPXcvhMitHRRETy7LoOpU2cODHnv1NSUvjggw/o2rUrwcHBuLrmvp7JkCFDHJ/SgXQoTSR/2O12vtl0hLd+3klKhhVPVwsvda3HQ610Q1oRuXlONceoWrVq17cxk4n4+PibDpWfVIxE8teRs6k8P28r6+Iv35A2rFYZ3r0vhAp+ngYnE5HCzKmKUVGiYiSS/2w2O5+tPcSYRbtJz7Lh4+HCm3c34J4mlTR6JCI3xGknX/+T1WolNjaWc+fOOSKPiBQBZrOJfm2rsXBoGI2CSnIhLYsR32xlwJebOX0x3eh4IiLXlOdiNGzYMD7++GPgcikKDw+nadOmBAUFsWLFCkfnE5FCrEZZb74bEMrznergajGxZMcJ7vgwmsXbjxkdTUTkqvJcjObNm0ejRo0A+Pnnnzl06BC7d+9m+PDhvPzyyw4PKCKFm4vFzKBba/LDoLbULe/D2ZQMBnz5B8PmbiEpNdPoeCIiueS5GJ0+fZry5csDsHDhQnr16kXt2rV57LHHiIuLc3hAESkaGlT048fBbRl0aw3MJvgh9ih3jF/Jij0njY4mIpIjz8WoXLly7Ny5E6vVyuLFi+nYsSMAqampWCy6maSIXJu7i4XnO9Xlu4FtqF6mBCeS03l01kYiv9/GxfQso+OJiOS9GPXr14/evXvTsGFDTCYTHTp0AGD9+vXUrVvX4QFFpOhpUrkUC4aE0a9tVQDmbDhC5/HRrIs/Y2wwESn2buh0/Xnz5nHkyBF69epFYGAgAJ999hklS5ake/fuDg/pSDpdX8S5rDlwmue/3Ubi+UsAPNa2Gv/XuQ4erhqBFpH/0XWM8omKkYjzuZiexagFO5mz4QgA1cuW4P1ejWhSuZTByUTEWRSa6xiJiNwsb3cXRvcMYdajLQjwcSf+VAr3Rq1h3JLdZGTZjI4nIsWIipGIOI1b6wawdHg4PRpXxGaHKb8f4O7JMew8mmx0NBEpJlSMRMSplPRyY3yfJkT1bYp/CTd2H79A9ykxTP5tH1lWjR6JSP5SMRIRp9QluAJLh4fTqUE5Mq123lu6l3uj1rD/5AWjo4lIEXZDxejAgQO88sorPPDAA5w8efnibIsWLWLHjh0ODScixVsZb3emPtSMD+9vhK+HC1v/TOLOiTHMiI7HaitW542ISAHJczFauXIlwcHBrF+/nu+//56LFy8CsHXrVl5//XWHBxSR4s1kMnFPk0CWDm9P+9plyciyMWrhLvpMX8vhMylGxxORIibPxejFF19k5MiRLFu2DDc3t5zlt912G+vWrXNoOBGRv5T38+DTfi0Y0zOYEm4WNh46R+fxq/hi7SFsGj0SEQfJczGKi4vjnnvuuWJ5QEAAp0+fdkgoEZGrMZlM9GlZmcXDwgmtXppLmVZe/XEHEZ9syLlApIjIzchzMSpZsiTHjh27YvmWLVuoVKmSQ0KJiPybIH8vvnq8FW90q4+Hq5mY/afp/GE032w8QjG7Zq2IOFiei1GfPn144YUXOH78OCaTCZvNxurVq3nuueeIiIjIj4wiIlcwm0082rYai4aG07RySS6kZ/F/322j/2ebOJGcZnQ8ESmk8nxLkIyMDAYNGsSnn36K1WrFxcUFq9XKgw8+yKefforF4tz3N9ItQUSKHqvNzsxV8by/dC8ZVht+nq681b0BdzeqiMlkMjqeiDiA098r7ciRI8TFxXHx4kWaNGlCrVq1HJ0tX6gYiRRde09c4NlvthKXmARA5wblGXlPQ8p4uxucTERultMXo79YrVbi4uKoUqUKpUo5/w0fVYxEirZMq42oFQeYuHwfWTY7/iXcGNWjIV2CKxgdTURugtPeRHbYsGF8/PHHwOVS1L59e5o2bUpQUBArVqxwdD4RkTxxtZgZcnstfhzclrrlfTibksHAr/5gyJwtnE/NMDqeiDi5PBejefPm0ahRIwB+/vln4uPj2b17N8OHD+fll192eEARkRvRoKIfPw1ux+Bba2Ixm/hp61E6fhjN8l0njI4mIk4sz8Xo9OnTlC9fHoCFCxfSu3dvateuzWOPPUZcXJzDA4qI3Cg3FzPPdarD9wPbUDPAm1MX0un/2Sae+3YryWmZRscTESeU52JUrlw5du7cidVqZfHixXTs2BGA1NRUpz8jTUSKp0ZBJfnlmXY8GV4dkwnmbf6TTh9Gs3LvKaOjiYiTyXMx6tevH71796Zhw4aYTCY6dOgAwPr166lbt67DA4qIOIKHq4WX7qzHN0+FUqW0F8eS0njkkw1Efh/HxfQso+OJiJO4obPS5s2bx5EjR+jVqxeBgYEAfPbZZ5QsWZLu3bs7PKQj6aw0EUnNyGLsot18tvYwAIGlPHn3vhDa1ChjcDIRuZZCc7p+YaNiJCJ/WXPgNP83bxt/nrt8n7VHQqvwQpe6eLm5GJxMRP7JqYtRSkoKK1euJCEhgYyM3Ke/DhkyxGHh8oOKkYj83cX0LEYt2MWcDQkAVC3txbhejWhR1d/gZCLyd05bjLZs2cKdd95JamoqKSkp+Pv7c/r0aby8vAgICCA+Pj6/sjqEipGIXE303lO88N02jiWlYTJB/7bVeK5THTxcdVKJiDNw2gs8Dh8+nG7dunHu3Dk8PT1Zt24dhw8fplmzZrz33nt52lZUVBQhISH4+vri6+tLaGgoixYtuub6M2bMICwsjFKlSlGqVCk6dOjAhg0b8voRRESuEF67LIuHhdOrWSB2O8yMOcidE1fxR8I5o6OJSAHKczGKjY3l2WefxWw2Y7FYSE9PJygoiHfffZeXXnopT9sKDAxkzJgxbN68mU2bNnHbbbfRvXt3duzYcdX1V6xYwQMPPMDvv//O2rVrCQoK4o477iAxMTGvH0NE5Ap+nq6M69WIjx9pToCPO/GnUrgvag1jF+8mPctqdDwRKQB5PpRWtmxZ1qxZQ61atahduzaTJk2iU6dO7N69m2bNmpGSknJTgfz9/Rk3bhz9+/f/z3WtViulSpVi8uTJREREXNf2dShNRK7H+dQM3vx5J/O3XP6HV+1y3rzXqxEhgSWNDSZSTDntobQmTZqwceNGANq3b89rr73GV199xbBhw2jYsOENB7FarcydO5eUlBRCQ0Ov6zWpqalkZmbi73/tSZLp6ekkJyfneoiI/JeSXm58eH9jpj3cjDLebuw9cZF7PlrD+0v3kJFlMzqeiOSTPBejd955hwoVLt+letSoUZQqVYqBAwdy6tQppk+fnucAcXFxeHt74+7uzoABA5g/fz7169e/rte+8MILVKxYMecik1czevRo/Pz8ch5BQUF5zigixVenBuVZOrw9d4VUwGqzM+m3/dw9OYbtiUlGRxORfGD4dYwyMjJISEggKSmJefPmMXPmTFauXPmf5WjMmDG8++67rFixgpCQkGuul56eTnp6es7PycnJBAUF6VCaiOTZgm3HePXH7ZxNycDFbGLwbTUZdGtNXC15/jemiOSR056un986dOhAjRo1mDZt2jXXee+99xg5ciS//vorzZs3z9P2NcdIRG7G6YvpvDJ/O4t3HAegQUVf3u/diLrl9feJSH5y2jlGJ06c4OGHH6ZixYq4uLhgsVhyPW6WzWbLNcLzT++++y5vv/02ixcvznMpEhG5WWW83Yl6qCkTH2hCSS9XdhxNptukGCb/to8sq+YeiRR2eb7u/aOPPkpCQgKvvvoqFSpUwGQy3fCbR0ZG0qVLFypXrsyFCxeYPXs2K1asYMmSJQBERERQqVIlRo8eDcDYsWN57bXXmD17NlWrVuX48cv/YvP29sbb2/uGc4iI5IXJZOLuRhVpXd2fl77fzq+7TvDe0r0s3XmC93o1onY5H6MjisgNynMxiomJYdWqVTRu3Pim3/zkyZNERERw7Ngx/Pz8CAkJYcmSJXTs2BGAhIQEzOb/DWpFRUWRkZHBfffdl2s7r7/+Om+88cZN5xERyYsAHw9mRDRj/pZE3vhpB9v+TOKuiTEM71ibJ8Kq4aK5RyKFTp7nGNWvX5+vvvqKJk2a5FemfKU5RiKSH04kpxH5fRy/7T4JQKOgkrzfK4SaARo9EnEEp51jNH78eF588UUOHTqUD3FERAqncr4efPxIc8bdF4KPhwtbj5znzokxTI8+gNXmVOe4iMi/uK4Ro1KlSuWaS5SSkkJWVhZeXl64urrmWvfs2bOOT+lAGjESkfx2LOkSL34Xx8q9pwBoWrkk7/VqRPWymgspcqOc6nT9zz777Lo3+Mgjj9xUoPymYiQiBcFut/PNpiO8/csuLqZn4e5i5vlOdejXthoW842ftCJSXDlVMSpKVIxEpCAlnr/Ei99tY9W+0wA0r1KKcb0aUa1MCYOTiRQuTjfHyGazMXbsWNq2bUuLFi148cUXuXTpUr4FExEpCiqV9OTzx1ryzj3BlHCzsOnwObpMiOaTmIPYNPdIxOlcdzEaNWoUL730Et7e3lSqVIkJEyYwaNCg/MwmIlIkmEwmHmxVmSXDw2lbszRpmTbe+mUnfaav49DpFKPjicjfXPehtFq1avHcc8/x1FNPAfDrr7/StWtXLl26lOtaQ85Oh9JExEh2u52v1ifwzsJdpGZY8XS18ELnOkSEVsWsuUci1+R0c4zc3d3Zv39/rrvTe3h4sH//fgIDA/MtoKOpGImIMzhyNpUXvtvGmgNnAGhVzZ9x9zWicmkvg5OJOCenm2OUlZWFh4dHrmWurq5kZmY6PJSISFEX5O/Fl/1b8Xb3Bni5WVh/8CydJ0Tz+dpDmnskYqDrHjEym8106dIFd3f3nGU///wzt912GyVK/O/siu+//97xKR1II0Yi4myOnE3l+XlbWRd/+TpwratfHj0K8tfokchfnO5QWr9+/a5rg7NmzbqpQPlNxUhEnJHNZufL9YcZvXA3lzKteLlZiOxSl76tqmjukQhOWIyKChUjEXFmCWcujx6tP3h59Ci0emnevS9Eo0dS7DndHCMREcl/lUt7MeeJ1rx5dwM8XS2sjT9Dp/HRfLHusOYeiRQAFSMRESdjNpt4pE1VFg8Lo2U1f1IzrLz6w3Ye+ng9R86mGh1PpEhTMRIRcVJVSpdg7hOteaNbfTxdLaw5oNEjkfymYiQi4sTMZhOPtq3GoqFhtKyq0SOR/KZiJCJSCFQtU4K5T7bm9W718XA1a/RIJJ+oGImIFBJms4l+bauxeGh4rtGjvjM1eiTiKCpGIiKFzD9Hj3TmmojjqBiJiBRCGj0SyR8qRiIihdg1R490zzWRG6JiJCJSyOUaPfrrukc/7uDBmes0eiSSRypGIiJFRNUyua97tC7+LJ3GR/O5Ro9ErpuKkYhIEfLXdY8WDwujVfbo0Ws/7uCBGes4fCbF6HgiTk/FSESkCKpSugRznmjNW90b4OVmYf3Bs3Qev4pPVx/U6JHIv1AxEhEposxmExGhVVk8NJzW1f25lGnljZ930mf6Og6d1uiRyNWoGImIFHGVS3sx+/HWvN2jIV5uFjYcOkvnCdF8HKPRI5F/UjESESkGzGYTD7euwpJh4bSpUZq0TBtv/7KT3tPWEn/qotHxRJyGipGISDES5O/FV4+3YtQ9DSnhZmHT4XN0mbCKGdHxWDV6JKJiJCJS3JhMJvq2qsKS4eG0q1mG9Cwboxbu4r6pa9h/UqNHUrypGImIFFOBpbz4on9LxvQMxtvdhS0J57lz4iqmrTyg0SMptlSMRESKMZPJRJ+WlVkyPJzw2mXJyLIxetFuekatYd+JC0bHEylwKkYiIkKlkp581q8F794bgo+HC1uPnKfrxBim/L6fLKvN6HgiBUbFSEREgMujR71bBLF0eDi31ilLhtXGuCV76Bm1hj3HNXokxYOKkYiI5FLBz5NPHm3B+70a4evhwrY/k7hr0iomLt9HpkaPpIhTMRIRkSuYTCbubRbIshHt6VCvHJlWOx8s20uPKavZeTTZ6Hgi+UbFSERErqmcrwczIpoxoU9jSnq5suNoMndPjuGDZXvJyNLokRQ9KkYiIvKvTCYT3RtXYunwcDo3KE+Wzc7E5fu4e3IM2xOTjI4n4lAqRiIicl0CfDyIeqgpkx9sgn8JN3Yfv0D3Kat5b8ke0rOsRscTcQgVIxERuW4mk4m7QiqybHg4XUMqYLXZmfz7fu6aGEPskfNGxxO5aSpGIiKSZ6W93ZnyYFOmPtSUMt5u7Dt5kZ4frWb0wl2kZWr0SAovFSMREblhnRtWYNnw9vRoXBGbHaZFx3PnxFVsPnzW6GgiN0TFSEREbkqpEm6M79OEGRHNCfBxJ/5UCvdNXctbP+/kUoZGj6RwUTESERGH6Fi/HMuGt+e+ZoHY7fDJ6oN0nhDNuvgzRkcTuW4qRiIi4jB+Xq6816sRs/q1oIKfB4fPpNJn+jpe+3E7KelZRscT+U8qRiIi4nC31glgyfBwHmhZGYDP1x7mjg+jidl32uBkIv9OxUhERPKFr4cro3sG89XjrQgs5Uni+Us89PF6Ir/fRnJaptHxRK5KxUhERPJV25plWDIsnIjQKgDM2XCETh9G8/uekwYnE7mSipGIiOS7Eu4uvNW9IV8/2Zoqpb04lpRGv1kbefabrSSlavRInIehxSgqKoqQkBB8fX3x9fUlNDSURYsW/etrvv32W+rWrYuHhwfBwcEsXLiwgNKKiMjNalW9NIuHhvN4u2qYTPDdH3/S4cOVLN1x3OhoIoDBxSgwMJAxY8awefNmNm3axG233Ub37t3ZsWPHVddfs2YNDzzwAP3792fLli306NGDHj16sH379gJOLiIiN8rTzcIrd9Vn3oA21ChbglMX0nnyi808M2cLZy6mGx1PijmT3W63Gx3i7/z9/Rk3bhz9+/e/4rn777+flJQUfvnll5xlrVu3pnHjxkydOvW6tp+cnIyfnx9JSUn4+vo6LLeIiORdWqaVCcv3MT06HqvNjn8JN968uwF3hVTAZDIZHU+cSEF9fzvNHCOr1crcuXNJSUkhNDT0quusXbuWDh065FrWqVMn1q5de83tpqenk5ycnOshIiLOwcPVwgud6zL/6TbULe/D2ZQMnpmzhae+2MzJ5DSj40kxZHgxiouLw9vbG3d3dwYMGMD8+fOpX7/+Vdc9fvw45cqVy7WsXLlyHD9+7WPTo0ePxs/PL+cRFBTk0PwiInLzQgJL8tPgdgy9vRYuZhNLd56g44fRfLf5T5zswIYUcYYXozp16hAbG8v69esZOHAgjzzyCDt37nTY9iMjI0lKSsp5HDlyxGHbFhERx3FzMTO8Y21+fqYdDSv5knQpk2e/3Uq/Tzdy9Pwlo+NJMWF4MXJzc6NmzZo0a9aM0aNH06hRIyZMmHDVdcuXL8+JEydyLTtx4gTly5e/5vbd3d1zznr76yEiIs6rXgVffni6Lf/XuQ5uFjMr9pzijg+jmb0+QaNHku8ML0b/ZLPZSE+/+lkJoaGhLF++PNeyZcuWXXNOkoiIFE4uFjNP31KThUPb0aRySS6mZ/HS/Dj6zlxPwplUo+NJEWZoMYqMjCQ6OppDhw4RFxdHZGQkK1asoG/fvgBEREQQGRmZs/7QoUNZvHgx77//Prt37+aNN95g06ZNDB482KiPICIi+ahmgA/zBrThla718HA1s+bAGTqNj2bW6oPYbBo9EscztBidPHmSiIgI6tSpw+23387GjRtZsmQJHTt2BCAhIYFjx47lrN+mTRtmz57N9OnTadSoEfPmzeOHH36gYcOGRn0EERHJZxazicfDqrN4aDitq/tzKdPKmz/vpPe0tRw4ddHoeFLEON11jPKbrmMkIlJ42Wx2Zm9IYMyi3VxMz7o8YbtDbZ4Iq4aLxelmh4gDFbvrGImIiPwXs9nEQ62rsGR4OO1rlyUjy8bYxbu556M17D6u69TJzVMxEhGRQqdSSU8+7deC93o1wtfDhbjEJLpNiuHDZXvJyLIZHU8KMRUjEREplEwmE/c1C+TXEe25o345Mq12Jizfx92TY9j253mj40khpWIkIiKFWoCvB9MebsbkB5tQuoQbu49foMeU1YxetIu0TKvR8aSQUTESEZFCz2QycVdIRZaNaE/3xhWx2WHayni6TFjFhoNnjY4nhYiKkYiIFBn+JdyY0KcJMyOaU87XnYOnU+g9bS2v/bidi+lZRseTQkDFSEREipwO9cuxdHh7+rS4fOPwz9ceptOH0UTvPWVwMnF2KkYiIlIk+Xm6MubeEL7s34rAUp4knr9ExCcbeP7brSSlZhodT5yUipGIiBRp7WqVYcmwcB5tUxWTCb7d/CcdP1zJkh3HjY4mTkjFSEREirwS7i68cXcDvn0qlOplS3DyQjpPfbGZwbP/4PTFq9+4XIonFSMRESk2mlf1Z+GQMAbeUgOL2cQv247R8YOV/LAlkWJ2hyy5BhUjEREpVjxcLbzQuS4/PN2WehV8OZeaybCvY+n/2SaOJV0yOp4YTMVIRESKpeBAP34a3JZnO9bGzWLmt90nueODaGavT9DoUTGmYiQiIsWWq8XMM7fXYsGQdjQOKsmF9Cxemh/HgzPWc/hMitHxxAAqRiIiUuzVKufDdwPb8ErXeni4mlkbf4ZO46OZuSoeq02jR8WJipGIiAhgMZt4PKw6S4e1p02N0qRl2hi5YBf3Rq1h74kLRseTAqJiJCIi8jeVS3vx1eOtGN0zGB93F2KPnKfrxFVMXL6PjCyb0fEkn6kYiYiI/IPJZOKBlpVZOiKc2+sGkGm188Gyvdw9OYZtf543Op7kIxUjERGRa6jg58nMR5ozoU9j/Eu4sfv4BXpMWc3ohbtIy7QaHU/ygYqRiIjIvzCZTHRvXIllw8O5u1FFbHaYFh1P5/HRrIs/Y3Q8cTAVIxERketQ2tudiQ80YWZEc8r7enDoTCp9pq/j5flxXEjTTWmLChUjERGRPOhQvxxLR4TzQMvKAHy1PoE7Pozmt90nDE4mjqBiJCIikke+Hq6M7hnM7CdaUaW0F8eS0njs000Mm7uFsykZRseTm6BiJCIicoPa1CjD4qHhPBFWDbMJfog9SocPVvLT1qO6rUghpWIkIiJyEzzdLLzctT7fP92WOuV8OJuSwZA5W3ji880cT0ozOp7kkYqRiIiIAzQOKsnPz7RjeIfauFpM/LrrBB0/WMmcDbopbWGiYiQiIuIgbi5mhnaoxYIhYTk3pY38/vJNaQ+d1k1pCwMVIxEREQernX1T2lfvqo+nq4W18WfoPCGaGdHxZFl1WxFnpmIkIiKSDyxmE/3bVWPp8HDa1SxDWqaNUQt30TNqDbuOJRsdT65BxUhERCQfBfl78UX/lrx7Xwi+Hi5s+zOJbpNieH/pHtKzdFsRZ6NiJCIiks9MJhO9mwfx64j2dGpQjiybnUm/7afrxBg2Hz5rdDz5GxUjERGRAhLg68G0h5sT1bcpZbzd2X/yIvdNXcsbP+0gJT3L6HiCipGIiEiB6xJcgV9HhNOrWSB2O3y65hB3fBjNij0njY5W7KkYiYiIGKCklxvjejXii/4tCSzlSeL5Szw6ayMjvonlnG4rYhgVIxEREQOF1SrLkmHhPNa2GiYTfP9HIh0/XMnPuq2IIVSMREREDFbC3YXXutXnu4FtqBXgzemLGTwzZwtPfL6JY0mXjI5XrKgYiYiIOImmlUvxy5B2DL29VvZtRU5yxwfRfLX+MDabRo8KgoqRiIiIE3F3sTC8Y+1ctxV5ef52+sxYR/ypi0bHK/JUjERERJzQP28rsuHgWTpPWMVHK/aTqduK5BsVIxERESf199uKhNUqQ0aWjXcX76HHlNVsT0wyOl6RpGIkIiLi5IL8vfj8sZa816sRfp6u7DiaTPcpqxmzaDdpmbqtiCOpGImIiBQCJpOJ+5oF8uuI9nQNqYDVZmfqygN0mbCKdfFnjI5XZKgYiYiIFCJlfdyZ8mBTZkQ0p7yvBwdPp9Bn+joiv48j6VKm0fEKPRUjERGRQqhj/XIsHRFO31aVAZizIYGOH6xkyY7jBicr3FSMRERECilfD1dG3RPM3CdbU61MCU5eSOepLzYz8MvNnLyQZnS8QknFSEREpJBrXb00i4aG8fQtNbCYTSzafpwO76/km41HdFuRPFIxEhERKQI8XC38X+e6/DioLQ0r+ZKclsX/fbeNvjPXc/hMitHxCg0VIxERkSKkYSU/fni6LZFd6uLuYmbNgTN0Gh/N9OgDZOnCkP9JxUhERKSIcbGYeap9DZYMCye0emnSMm28s3A393y0hh1HdWHIf2NoMRo9ejQtWrTAx8eHgIAAevTowZ49e/7zdePHj6dOnTp4enoSFBTE8OHDSUvTJDMREZG/q1qmBLOfaMXYe4Px9XAhLjGJuyevZuxiXRjyWgwtRitXrmTQoEGsW7eOZcuWkZmZyR133EFKyrWPhc6ePZsXX3yR119/nV27dvHxxx/z9ddf89JLLxVgchERkcLBZDJxf4vK/DqiPXcGl8dqsxO1QheGvBaT3Ymmq586dYqAgABWrlxJeHj4VdcZPHgwu3btYvny5TnLnn32WdavX09MTMx/vkdycjJ+fn4kJSXh6+vrsOwiIiKFwZIdx3ntx+2cSE4H4IGWQbzYpR5+nq4GJ/t3BfX97VRzjJKSLh/39Pf3v+Y6bdq0YfPmzWzYsAGA+Ph4Fi5cyJ133nnV9dPT00lOTs71EBERKa46NSjPshHteTDnwpBH6PjBShZvP2ZwMufgNCNGNpuNu+++m/Pnz//nyM/EiRN57rnnsNvtZGVlMWDAAKKioq667htvvMGbb755xXKNGImISHG3Pv4Mkd/HEX/68hSWTg3K8Vb3hpTz9TA42ZUKasTIaYrRwIEDWbRoETExMQQGBl5zvRUrVtCnTx9GjhxJq1at2L9/P0OHDuWJJ57g1VdfvWL99PR00tPTc35OTk4mKChIxUhERARIy7Qy+bf9TF15gCybHR8PFyK71KNPiyDMZpPR8XIUq2I0ePBgfvzxR6Kjo6lWrdq/rhsWFkbr1q0ZN25czrIvv/ySJ598kosXL2I2//vRQc0xEhERudKuY8m8+N02tv55eVpLy2r+jO4ZTI2y3gYnu6xYzDGy2+0MHjyY+fPn89tvv/1nKQJITU29ovxYLJac7YmIiEje1avgy/dPt+XVu+rj6Wphw8GzdJmwiim/7yezGF0Y0tBiNGjQIL788ktmz56Nj48Px48f5/jx41y6dClnnYiICCIjI3N+7tatG1FRUcydO5eDBw+ybNkyXn31Vbp165ZTkERERCTvLGYT/dtVY+nwcMJrlyUjy8a4JXvoNimG2CPnjY5XIAw9lGYyXf3Y5axZs3j00UcBuOWWW6hatSqffvopAFlZWYwaNYovvviCxMREypYtS7du3Rg1ahQlS5b8z/fUoTQREZH/Zrfb+SE2kbd+3sm51EzMJni0TTWevaM2JdxdCjxPsZpjVJBUjERERK7fmYvpjFywi/lbEgGoVNKTUfc05JY6AQWao1jMMRIRERHnVtrbnQ/vb8yn/VpQqaQniecv8eisjQz/OpazKRlGx3M4FSMRERH5T7fUCWDp8HD6ta2KyQTztyRy+/srmL/lzyJ18pOKkYiIiFyXEu4uvN6tAfOfbkvd8j6cS81k+NdbeWTWRo6cTTU6nkOoGImIiEieNA4qyc/PtOP5TnVwczETvfcUd3wYzcxV8VhthXv0SMVIRERE8szVYmbQrTVZPDSMVtX8uZRpZeSCXdzz0Wp2Hi289yVVMRIREZEbVr2sN3OeaM2YnsH4eLiw7c8kuk2OYezi3aRlWo2Ol2cqRiIiInJTzGYTfVpWZvmI9twZXB6rzU7UigN0Hh/Nmv2njY6XJypGIiIi4hABvh581LcZMyKaU97Xg0NnUnlw5nqe/3Yr51MLx6n9KkYiIiLiUB3rl2PZiHAiQqtgMsG3m/+kwwcr+WnrUac/tV/FSERERBzOx8OVt7o3ZN6AUGoFeHP6YgZD5mzhsU83knj+0n9vwCAqRiIiIpJvmlXx55ch7RjeoTZuFjO/7zlFxw9W8knMQac8tV/FSERERPKVu4uFoR1qsXBoO1pULUVqhpW3ftlJz6g17DrmXKf2qxiJiIhIgagZ4MPXT4Yy6p6G+Li7sPXIebpNcq5T+1WMREREpMCYzSb6tqrCr8+2p3OD8mQ52an9KkYiIiJS4Mr5ejD14WZMe7iZU53ar2IkIiIihunUoDzLRoTzcOvcp/b/GJtoyKn9KkYiIiJiKB8PV97ukfvU/qFzY+n36UaOnE0t0Cwmu7NfacnBkpOT8fPzIykpCV9fX6PjiIiIyN9kZNmYuvIAk3/bT4bVhqerhWfvqE3Phv6U9i+V79/fKkYiIiLidPafvMhL38ex4dBZAOr6u7Dkhc75/v2tQ2kiIiLidGoGeDP3ydaM7hmMj4cLOwvoekcqRiIiIuKUzGYTD7SszPIR7elUv1zBvGeBvIuIiIjIDQrw9eD9+xsXyHupGImIiIhkUzESERERyaZiJCIiIpJNxUhEREQkm4qRiIiISDYVIxEREZFsKkYiIiIi2VSMRERERLKpGImIiIhkUzESERERyaZiJCIiIpJNxUhEREQkm4qRiIiISDYVIxEREZFsLkYHKGh2ux2A5ORkg5OIiIjI9frre/uv7/H8UuyK0ZkzZwAICgoyOImIiIjk1ZkzZ/Dz88u37Re7YuTv7w9AQkJCvv7Byn9LTk4mKCiII0eO4Ovra3ScYk/7w3loXzgP7QvnkZSUROXKlXO+x/NLsStGZvPlaVV+fn76n9xJ+Pr6al84Ee0P56F94Ty0L5zHX9/j+bb9fN26iIiISCGiYiQiIiKSrdgVI3d3d15//XXc3d2NjlLsaV84F+0P56F94Ty0L5xHQe0Lkz2/z3sTERERKSSK3YiRiIiIyLWoGImIiIhkUzESERERyaZiJCIiIpKtUBej6OhounXrRsWKFTGZTPzwww//uv6KFSswmUxXPI4fP55rvSlTplC1alU8PDxo1aoVGzZsyMdPUXTkx/4YPXo0LVq0wMfHh4CAAHr06MGePXvy+ZMUfvn1u/GXMWPGYDKZGDZsmOPDFzH5tS8SExN56KGHKF26NJ6engQHB7Np06Z8/CSFX37sC6vVyquvvkq1atXw9PSkRo0avP322/l+P6/CLq/7AiA9PZ2XX36ZKlWq4O7uTtWqVfnkk09yrfPtt99St25dPDw8CA4OZuHChXnOVqiLUUpKCo0aNWLKlCl5et2ePXs4duxYziMgICDnua+//poRI0bw+uuv88cff9CoUSM6derEyZMnHR2/yMmP/bFy5UoGDRrEunXrWLZsGZmZmdxxxx2kpKQ4On6Rkh/74i8bN25k2rRphISEOCpukZYf++LcuXO0bdsWV1dXFi1axM6dO3n//fcpVaqUo+MXKfmxL8aOHUtUVBSTJ09m165djB07lnfffZdJkyY5On6RciP7onfv3ixfvpyPP/6YPXv2MGfOHOrUqZPz/Jo1a3jggQfo378/W7ZsoUePHvTo0YPt27fnLZy9iADs8+fP/9d1fv/9dztgP3fu3DXXadmypX3QoEE5P1utVnvFihXto0ePdlDS4sFR++OfTp48aQfsK1euvLmAxYgj98WFCxfstWrVsi9btszevn17+9ChQx2Wszhw1L544YUX7O3atXNsuGLGUfuia9eu9sceeyzXsp49e9r79u3rgJTFw/Xsi0WLFtn9/PzsZ86cueY6vXv3tnft2jXXslatWtmfeuqpPOUp1CNGN6px48ZUqFCBjh07snr16pzlGRkZbN68mQ4dOuQsM5vNdOjQgbVr1xoRtVi41v64mqSkJIB8v4lgcfVf+2LQoEF07do11++I5I9/2xc//fQTzZs3p1evXgQEBNCkSRNmzJhhUNKi79/2RZs2bVi+fDl79+4FYOvWrcTExNClSxcjohZZf/0//+6771KpUiVq167Nc889x6VLl3LWWbt27RV/N3Xq1CnP39/F6iayFSpUYOrUqTRv3pz09HRmzpzJLbfcwvr162natCmnT5/GarVSrly5XK8rV64cu3fvNih10fVf++OfbDYbw4YNo23btjRs2NCAxEXX9eyLuXPn8scff7Bx40aD0xZt17Mv4uPjiYqKYsSIEbz00kts3LiRIUOG4ObmxiOPPGLwJyg6rmdfvPjiiyQnJ1O3bl0sFgtWq5VRo0bRt29fg9MXLfHx8cTExODh4cH8+fM5ffo0Tz/9NGfOnGHWrFkAHD9+/Krf39eaK3lNeRpfcmJcx1Dc1YSHh9sfeughu91utycmJtoB+5o1a3Kt8/zzz9tbtmzpiJjFhiP2xz8NGDDAXqVKFfuRI0duMl3x4oh9kZCQYA8ICLBv3bo153kdSss7R/1euLq62kNDQ3Ot88wzz9hbt259sxGLDUftizlz5tgDAwPtc+bMsW/bts3++eef2/39/e2ffvqpA9MWbdezLzp27Gj38PCwnz9/PmfZd999ZzeZTPbU1FS73X7592L27Nm5XjdlyhR7QEBAnvIUy0Npf9eyZUv2798PQJkyZbBYLJw4cSLXOidOnKB8+fJGxCt2/r4//m7w4MH88ssv/P777wQGBhqQrPj5+77YvHkzJ0+epGnTpri4uODi4sLKlSuZOHEiLi4uWK1Wg9MWbf/8vahQoQL169fPtU69evVISEgo6GjFzj/3xfPPP8+LL75Inz59CA4O5uGHH2b48OGMHj3awJRFT4UKFahUqRJ+fn45y+rVq4fdbufPP/8EoHz58g75/i72xSg2NpYKFSoA4ObmRrNmzVi+fHnO8zabjeXLlxMaGmpUxGLl7/sDwG63M3jwYObPn89vv/1GtWrVDExXvPx9X9x+++3ExcURGxub82jevDl9+/YlNjYWi8VicNqi7Z+/F23btr3ishV79+6lSpUqBR2t2PnnvkhNTcVszv1VarFYsNlsBR2tSGvbti1Hjx7l4sWLOcv27t2L2WzO+cdyaGhoru9vgGXLluX5+7tQzzG6ePFiruZ+8OBBYmNj8ff3p3LlykRGRpKYmMjnn38OwPjx46lWrRoNGjQgLS2NmTNn8ttvv7F06dKcbYwYMYJHHnmE5s2b07JlS8aPH09KSgr9+vUr8M9X2OTH/hg0aBCzZ8/mxx9/xMfHJ+dYsZ+fH56engX7AQsRR+8LHx+fK+Z1lShRgtKlS2u+13/Ij9+L4cOH06ZNG9555x169+7Nhg0bmD59OtOnTy/wz1eY5Me+6NatG6NGjaJy5co0aNCALVu28MEHH/DYY48V+OcrTPK6Lx588EHefvtt+vXrx5tvvsnp06d5/vnneeyxx3K+C4YOHUr79u15//336dq1K3PnzmXTpk15/73I04E3J/PXqZT/fDzyyCN2u91uf+SRR+zt27fPWX/s2LH2GjVq2D08POz+/v72W265xf7bb79dsd1JkybZK1eubHdzc7O3bNnSvm7dugL6RIVbfuyPq20PsM+aNavgPlghlF+/G3+nOUbXJ7/2xc8//2xv2LCh3d3d3V63bl379OnTC+gTFV75sS+Sk5PtQ4cOtVeuXNnu4eFhr169uv3ll1+2p6enF+AnK3zyui/sdrt9165d9g4dOtg9PT3tgYGB9hEjRuTML/rLN998Y69du7bdzc3N3qBBA/uCBQvynM1kt+vynCIiIiKgOUYiIiIiOVSMRERERLKpGImIiIhkUzESERERyaZiJCIiIpJNxUhEREQkm4qRiIiISDYVIxEREZFsKkYiIiIi2VSMRERERLKpGImIU3jxxRdxd3fnwQcfvOrzZ86cISAggEOHDuV7lj59+vD+++/n+/uIiPPRvdJExCkkJSXxxRdf8Mwzz7Bv3z5q1qyZ6/kRI0Zw4cIFZsyYke9Ztm/fTnh4OAcPHsTPzy/f309EnIdGjETEKfj5+dG/f3/MZjNxcXG5nktNTeXjjz+mf//+BZKlYcOG1KhRgy+//LJA3k9EnIeKkYg4jaysLLy8vNi+fXuu5QsXLsTd3Z3WrVvnWh4TE4OrqytpaWk5yw4dOoTJZOLw4cO5fv7uu+8IDw/H09OTFi1akJCQwKpVq2jdujVeXl7cfvvtnD9/Pmc73bp1Y+7cufn3YUXEKakYiYjTeOWVV7h48eIVxWjVqlU0a9bsivVjY2OpV68eHh4eOcu2bNlCqVKlqFKlCgBbt24FICoqinfeeYc1a9Zw4sQJHnroIcaMGcPkyZP5/fff2bp1K7NmzcrZTsuWLdmwYQPp6en58VFFxEm5GB1ARARg8+bNTJ06la5du15RjA4fPkzFihWveM3WrVtp0qRJrmWxsbE0atQo18/+/v58/fXXlC5dGoD27dsTExPDjh078PLyAqBFixYcP34853UVK1YkIyOD48eP55QsESn6NGIkIoaz2Ww89dRTDB48mIiICPbt20dmZmbO85cuXco1KvSX2NhYGjdunGvZli1bci3bunUr99xzT04pAkhISOD+++/PKUV/LatWrVrOz56ensDl+U0iUnyoGImI4SZNmsTp06d56623CA4OJjMzk927d+c8X6ZMGc6dO5frNVarle3bt18xYvTHH3/kKkaxsbG0atUq1zpbt27NNV8pLS2NPXv25BppOnv2LABly5a96c8nIoWHipGIGCoxMZFXX32VKVOmUKJECWrVqoW7u3uuw2lNmjRh586duV63Z88e0tLSch1iW7t2LYmJiTnFKDk5mUOHDuUqTwcPHiQpKSnXsri4OOx2O8HBwTnLtm/fTmBgIGXKlHH0RxYRJ6ZiJCKGGjJkCF26dKFr164AuLi4UK9evVzFqFOnTuzYsSPXqFFsbCxwebRp3759LFq0iIiICAAyMjKAyyNDFouFhg0b5nqdv79/rnlDsbGx1KhRA29v75xlq1at4o477nD8BxYRp6ZiJCKG+eWXX/jtt9+YMGFCruXBwcG5ilFwcDBNmzblm2++yVkWGxtLp06diI+PJzg4mJdffpk333wTX19fJk6cCFwuRnXq1Mk1P+lqE7a3bt2a6zBaWloaP/zwA0888YRDP6+IOD9d+VpECoUFCxbw/PPPs337dsxmM506daJFixaMHDnS4e8VFRXF/PnzWbp0qcO3LSLOTSNGIlIodO3alSeffJLExETg8ijP3+cEOZKrqyuTJk3Kl22LiHPTiJGIFDrHjx+nQoUK7Nixg/r16xsdR0SKEBUjERERkWw6lCYiIiKSTcVIREREJJuKkYiIiEg2FSMRERGRbCpGIiIiItlUjERERESyqRiJiIiIZFMxEhEREcmmYiQiIiKSTcVIREREJNv/AzpLR9wlOmbyAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "
"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "job = web.Job(simulation=sim, task_name=\"bottom_taper\")\n",
    "sim_data = job.run(path=\"data/simulation_data.hdf5\")\n",
    "\n",
    "# calculate phase shift\n",
    "phase_1 = np.angle(sim_data[\"mode_1\"].amps.sel(mode_index=0, direction=\"+\"))\n",
    "phase_2 = np.angle(sim_data[\"mode_2\"].amps.sel(mode_index=0, direction=\"+\"))\n",
    "theta_t2 = phase_2 - phase_1\n",
    "\n",
    "plt.plot(ldas, np.unwrap(theta_t2))\n",
    "plt.xlabel(\"$\\lambda (\\mu m)$\")\n",
    "plt.ylabel(\"Phase shift\")\n",
    "plt.xlim(1.5, 1.6)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "09f10e0f",
   "metadata": {},
   "source": [
    "Now that we have calculated $n_+$, $n_-$, $n_1$, $n_2$, $\\theta_{t1}$, and $\\theta_{t2}$, we are ready to assemble the matrices and calculate $\\eta_{cross}$. First, we focus on the wavelength of 1550 nm and explore $\\eta_{cross}$ as a function of $L_1$ and $L_2$. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "c421aead",
   "metadata": {},
   "outputs": [],
   "source": [
    "# input field vector\n",
    "E_in = np.array([[0], [1]])\n",
    "\n",
    "N_L1 = 100  # number of L_1 points\n",
    "N_L2 = 50  # number of L_2 points\n",
    "L_1_array = np.linspace(4, 20, N_L1)\n",
    "L_2_array = np.linspace(1, 6, N_L2)\n",
    "\n",
    "eta_cross_1550 = np.zeros((N_L1, N_L2))\n",
    "\n",
    "# compute the taper matrix\n",
    "P_t = np.array([[np.exp(-1j * theta_t1[50]), 0], [0, np.exp(-1j * theta_t2[50])]]) * np.exp(-0.5)\n",
    "\n",
    "for i, L_1 in enumerate(L_1_array):\n",
    "    for j, L_2 in enumerate(L_2_array):\n",
    "\n",
    "        # compute the transmission coefficient\n",
    "        t = np.cos(np.pi * del_n * L_1 / lda0)\n",
    "        # compute the coupling coefficient\n",
    "        k = np.sin(np.pi * del_n * L_1 / lda0)\n",
    "        # compute the symmetric coupler matrix\n",
    "        C = np.exp(-1j * np.pi * (n_p + n_m) * L_1 / lda0) * np.array([[t, -1j * k], [-1j * k, t]])\n",
    "        # compute the phase control section matrix\n",
    "        P = np.array(\n",
    "            [\n",
    "                [np.exp(-1j * 2 * np.pi * n_1 * L_2 / lda0), 0],\n",
    "                [0, np.exp(-1j * 2 * np.pi * n_2 * L_2 / lda0)],\n",
    "            ]\n",
    "        )\n",
    "        # compute the output field vector by tmm\n",
    "        E_out = np.dot(C, np.dot(P_t, np.dot(P, np.dot(P_t, np.dot(C, E_in)))))\n",
    "\n",
    "        # total transmission\n",
    "        T = np.abs(E_out[0]) ** 2 + np.abs(E_out[1]) ** 2\n",
    "        # power transmitted to the cross port\n",
    "        eta_cross_1550[i, j] = np.abs(E_out[0]) ** 2 / T"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6844319d",
   "metadata": {},
   "source": [
    "Plot $\\eta_{cross}$ as a function of $L_1$ and $L_2$. Since we are looking for a specific power splitting ratio, we add contours to the plot. For a desirable splitting ratio, one only needs to pick design parameters on the specific contour. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "ed1a9fbb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "
"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot the power transmitted to the cross port as a function of L_1 and L_2\n",
    "cp = plt.contour(\n",
    "    L_2_array,\n",
    "    L_1_array,\n",
    "    eta_cross_1550,\n",
    "    levels=10,\n",
    "    colors=\"black\",\n",
    "    linestyles=\"dashed\",\n",
    "    linewidths=1,\n",
    ")\n",
    "plt.clabel(cp, inline=1, fontsize=10)\n",
    "cp = plt.contourf(L_2_array, L_1_array, eta_cross_1550, levels=100, vmin=0, vmax=1, cmap=\"bwr\")\n",
    "plt.xlabel(\"$L_2 (\\mu m)$\")\n",
    "plt.ylabel(\"$L_1 (\\mu m)$\")\n",
    "plt.title(\"Transmission to cross port\")\n",
    "plt.colorbar()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "187383d2",
   "metadata": {},
   "source": [
    "In this case, we aim for a 50%/50% splitting ratio. Since we want the DC to work in a wide wavelength range, we also need to calculate $\\eta_{cross}$ at other wavelengths to make sure the same splitting ratio is maintained. Here we skip explicitly showing this step to avoid making the notebook excessively long. \n",
    "\n",
    "From this analysis, the optimal $L_1$ and $L_2$ are found to be 12.8 $\\mu m$ and 4.4 $\\mu m$. Now we fix $L_1$ and $L_2$ and calculate $\\eta_{cross}$ as a function of wavelength."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "64de03ca",
   "metadata": {},
   "outputs": [],
   "source": [
    "L_1 = 12.8  # optimal L_1 from the tmm analysis\n",
    "L_2 = 4.4  # optimal L_2 from the tmm analysis\n",
    "\n",
    "# compute power transmitted to the cross port as a function of wavelength\n",
    "eta_cross_ldas = np.zeros(len(ldas))\n",
    "for i, lda in enumerate(ldas):\n",
    "    t = np.cos(np.pi * del_n * L_1 / lda)\n",
    "    k = np.sin(np.pi * del_n * L_1 / lda)\n",
    "    C = np.exp(-1j * np.pi * (n_p + n_m) * L_1 / lda) * np.array([[t, -1j * k], [-1j * k, t]])\n",
    "\n",
    "    P = np.array(\n",
    "        [\n",
    "            [np.exp(-1j * 2 * np.pi * n_1 * L_2 / lda), 0],\n",
    "            [0, np.exp(-1j * 2 * np.pi * n_2 * L_2 / lda)],\n",
    "        ]\n",
    "    )\n",
    "\n",
    "    E_out = np.dot(C, np.dot(P_t, np.dot(P, np.dot(P_t, np.dot(C, E_in)))))\n",
    "\n",
    "    T = np.abs(E_out[0]) ** 2 + np.abs(E_out[1]) ** 2\n",
    "    eta_cross_ldas[i] = np.abs(E_out[0]) ** 2 / T"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c30801d8",
   "metadata": {},
   "source": [
    "Plot $\\eta_{cross}$ as a function of wavelength. Here we can see if we define +- 1 dB as the bandwidth, the bandwidth is larger then 100 nm."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "d747859c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "
"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot the power transmitted to the cross port as a function of wavelength\n",
    "plt.axhline(y=-3, color=\"r\", linestyle=\"--\", linewidth=3, label=\"Ideal\")\n",
    "plt.plot(ldas, 10 * np.log10(eta_cross_ldas), linewidth=3, label=\"TMM\")\n",
    "plt.legend()\n",
    "plt.xlim(1.5, 1.6)\n",
    "plt.ylim(-6, 0)\n",
    "plt.xlabel(\"$\\lambda (\\mu m)$\")\n",
    "plt.ylabel(\"Transmission to cross port (dB)\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fa617412",
   "metadata": {},
   "source": [
    "## 3D FDTD"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "050fbb8f",
   "metadata": {},
   "source": [
    "The TMM analysis is only meant for an estimation of the optimal design parameters since TMM doesn't account for crucial details that can only be captured in a rigorous full wave simulation. Starting from the TMM analysis, we can further optimize $L_1$ and $L_2$ using 3D FDTD simulations. This can be done by performing a grid search (parameter sweeping), [adjoint optimization](../notebooks/AdjointPlugin_1_Intro.html), or other gradient-free optimization around the initial values. Since parameter sweeping and adjoint optimization have been demonstrated in various examples such as the [MMI](../notebooks/MMI_1x4.html) and the [mode converter](../notebooks/AdjointPlugin_3_InverseDesign.html), we won't do it again here but only report the final optimized design.\n",
    "\n",
    "After some further optimization, we determine that the optimal $L_1$ and $L_2$ are 12.4 $\\mu m$ and 4.7 $\\mu m$, which is not far from the TMM estimation of 12.8$\\mu m$ and 4.4 $\\mu m$. Now we demonstrate the FDTD simulation on the optimized device. To define the DC structures, we use Tidy3D's built-in [PolySlab](../_autosummary/tidy3d.PolySlab.html). "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "6f0a7b51",
   "metadata": {},
   "outputs": [],
   "source": [
    "L_1 = 12.4  # optimal L_1 from the 3d fdtd analysis\n",
    "L_2 = 4.7  # optimal L_2 from the 3d fdtd analysis\n",
    "\n",
    "# define vertices of the top waveguide\n",
    "vertices = [\n",
    "    (L_2 / 2 + L_t + L_1, 0),\n",
    "    (L_2 / 2 + L_t + L_1, w_sc),\n",
    "    (L_2 / 2 + L_t, w_sc),\n",
    "    (L_2 / 2, w_top),\n",
    "    (-L_2 / 2, w_top),\n",
    "    (-L_2 / 2 - L_t, w_sc),\n",
    "    (-L_2 / 2 - L_t - L_1, w_sc),\n",
    "    (-L_2 / 2 - L_t - L_1, 0),\n",
    "]\n",
    "\n",
    "# define the top waveguide\n",
    "DC_top = td.Structure(\n",
    "    geometry=td.PolySlab(\n",
    "        vertices=vertices,\n",
    "        axis=2,\n",
    "        slab_bounds=(-h_si / 2, h_si / 2),\n",
    "    ),\n",
    "    medium=si,\n",
    ")\n",
    "\n",
    "# define vertices of the bottom waveguide\n",
    "vertices = [\n",
    "    (L_2 / 2 + L_t + L_1, -gap_sc - w_sc),\n",
    "    (L_2 / 2 + L_t + L_1, -gap_sc),\n",
    "    (L_2 / 2 + L_t, -gap_sc),\n",
    "    (L_2 / 2, -gap_pc),\n",
    "    (-L_2 / 2, -gap_pc),\n",
    "    (-L_2 / 2 - L_t, -gap_sc),\n",
    "    (-L_2 / 2 - L_t - L_1, -gap_sc),\n",
    "    (-L_2 / 2 - L_t - L_1, -gap_sc - w_sc),\n",
    "]\n",
    "\n",
    "# define the bottom waveguide\n",
    "DC_bottom = td.Structure(\n",
    "    geometry=td.PolySlab(\n",
    "        vertices=vertices,\n",
    "        axis=2,\n",
    "        slab_bounds=(-h_si / 2, h_si / 2),\n",
    "    ),\n",
    "    medium=si,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "69167a13",
   "metadata": {},
   "source": [
    "The input and output waveguides are connected to circular bends, which can be most conveniently defined using `gdstk`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "6f236968",
   "metadata": {},
   "outputs": [],
   "source": [
    "R = 5  # bend radius\n",
    "\n",
    "cell = gdstk.Cell(\"bends\")  # define a gds cell\n",
    "\n",
    "# define the first input waveguide bend\n",
    "bend_1 = gdstk.FlexPath((L_2 / 2 + L_t, w_sc / 2), w_sc, layer=1, datatype=0)\n",
    "bend_1.horizontal(L_2 / 2 + L_t + L_1)\n",
    "bend_1.arc(R, -np.pi / 2, 0)\n",
    "bend_1.vertical(2 * l)\n",
    "cell.add(bend_1)\n",
    "\n",
    "# define the second input waveguide bend\n",
    "bend_2 = bend_1.copy()\n",
    "bend_2.mirror((0, 0), (0, 1))\n",
    "cell.add(bend_2)\n",
    "\n",
    "# define the third input waveguide bend\n",
    "bend_3 = bend_1.copy()\n",
    "bend_3.mirror((0, -gap_sc / 2), (1, -gap_sc / 2))\n",
    "cell.add(bend_3)\n",
    "\n",
    "# define the forth input waveguide bend\n",
    "bend_4 = bend_2.copy()\n",
    "bend_4.mirror((0, -gap_sc / 2), (1, -gap_sc / 2))\n",
    "cell.add(bend_4)\n",
    "\n",
    "# define the waveguide bend tidy3d geometries\n",
    "bends_geo = td.PolySlab.from_gds(\n",
    "    cell,\n",
    "    gds_layer=1,\n",
    "    axis=2,\n",
    "    slab_bounds=(-h_si / 2, h_si / 2),\n",
    ")\n",
    "\n",
    "# define the waveguide bend tidy3d structures\n",
    "bends = [td.Structure(geometry=bend_geo, medium=si) for bend_geo in bends_geo]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5b41cd2e",
   "metadata": {},
   "source": [
    "Define source, monitors, and simulation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "4c2446bb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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IMVnuJF1JFCES5U2WLl0qVFUVc+bMEZdccokYHR1N3b9161bxj//4j2LJkiXC6XSK1tZWceqpp4onnngidc2TTz4pPv7xj4uenh5ht9tFT0+P+PznPy/efffdjG3P9XGapokf//jHYvny5cLhcIiWlhaxatUqcc0114jx8fFp1/7qV78SRx11VOq6k08+WTz++OOp+/v7+8VZZ50lfD6fAJAqfXJguZOk++67L/V8ra2t4gtf+ILYvXv3tGvOO+884fF4Zvx869atE7n8J/eFF14QH/jAB4TL5RI9PT3i29/+tvjjH/84oz0TExPif/2v/yWam5sFgIylT04++WTL0iXr1q3L2qZsDMMQ1113nViwYIGw2+1i+fLl4te//vWM65KlYLZt2zbt9pGREXHhhReKtrY24Xa7xcknn2z5Gn3ggQfEypUrhcPhEL29veJ73/ue0DRt1j8DUb3gkWJEREREdYJr7IiIiIjqBIMdERERUZ1gsCMiIiKqEwx2RERERHWCwY6IiIioTjDYEREREdWJhipQbJom9uzZA5/Pl/dxPERERESVIIRAMBhET08PZDnzmFxDBbs9e/ZUzSHhREREVHu6m4E/rQNiOhCackpiVxPwyjbgkzeV7nvv2rULvb29Ga9pqALF4+PjaG5uxrf/+RtwuRyp2zU9UYIdAOxTom67X4Vqy21kLxDWENHjM273OG3wOuxZH6/pJsZCifMPmz0K7Gr5Z8mFEBgcT/wMDlVCk6cyuX88FEdMT/RIR5OtIqOr7I9J7I8E9sck9sck9kdCI/WHWw7iY82/gm4q0IWaut2rhLBP78b/jHw25/7Q4wJDgcTZyZmaGonE8JMbbsLY2Biampoytq+hRuySHexyOeD1uAEAMd2EpACyBAiR+MXabYCABL9PhT3HYGdIEiRNmXG7z2WH35U52Gm6iZBuoMmX+LduAk3O8r45TSEwHDDg8ahw2CREdQFZkeFzz/yZSikYNqCoNrS6JcTiArqQ0OZTIJfxP5bsj0nsjwT2xyT2xyT2R0Kj9YdL0iFJEmQZkMXkc0sSoCgKdNhz7g8tLhDSbZAlQJaztzOXoNrQmydiuom4AdgUwOWQYVcT4S6mA6ZZnoFMTTcxFDSgKhLam2xob7JBVSQMBQ1oulmWNiTflLoh0O5T0Oa3we+SEYiYCIaNsrQBSLwpAxETfpeMNr8N7T4FupFom1mmgWX2xyT2RwL7YxL7YxL7I4H9MUkA0A1R0f4AGjjYTQ11jv1J2qbsD3cADBMlfzFMfVO2+RN/VchS4v+X68Vw4Jsy+VeFz62U9c059U2Z/CvPrsplfXOyPyaxPxLYH5PYH5PYHwnsj0mJp5cgARXrj6SGDHZ6HDNCXZJNkfdPxQJjE6V7MaR7UyaV68Vg9aZMKtebM92bMqlcb072xyT2RwL7YxL7YxL7I4H9MUmIxPItALApUkX6Y6qGDHamSB/qkhRZgk1OhL9SvBgyvSmTSv1iyPamTCr1mzPTmzKp1G9O9sck9kcC+2MS+2MS+yOB/TEpGeokABJE2g0Q5Q53DRnsZMk61KWukSW0eIv/YsjlTTnZztK8GHJ9UyaV6s2Zy5syqVRvTvbHJPZHAvtjEvtjEvsjgf0xaVqokzI/ZznDXUMGOzXHvcCqTSrqiyGfN2VSsV8M+b4pk4r95sznTZlU7Dcn+2MS+yOB/TGJ/TGJ/ZHA/pgu11CXVK5w15DBLh/FejEU8qZMKtaLodA3ZVKx3pyFvCmT2B+T2B8J7I9J7I9J7I8E9sekYvaHKZBXqEs6sD/0ePHX/TVUHbskITKXMzGFgBCY/IVLEppcMkZDBvaNCbR4lRm1ZAwDMNO8X+KGQChiYDRkwKZI8LtlxA1gsiRy7vxuGaMTBvaNx9HiUaDm8cYSQmB0wkDcEGjxKIAkQSvgBeWwy3AbAmOhxHN5XPm9sUIRAxNRE16nDIddLqgNufRHJrpusj/2Y38ksD8msT8msT8S2B+TdN2EFo1DcgGAwNRsKJDIF7m0K9kfw8E4DEMACoAMmTufDNqYwQ6JDRRWTJGsZ2fCMCc73OtUoMVNBMIm7DZp2iLJuAmY5swXh6YD8bgJhyrDbpP2V8QuPKG79r+YQzETdgPIcmQcgMkXmiwlfgZDAIZW+BCwokjwOGVohoCIJP6Dk4u4IaAbAh6nDEWREJ1FG4DM/WHFNAGN/QGA/ZHE/pjE/pjE/khgf0xK9ofXJieG60Riy8QkCaZAzm1z2WVIMBP9aiAR7izk0+sNGew6/Cr8PtXyfj0uENNN/P0xTWjy5PYXxevb9mH3SHjG7Yd0t2BpT2vBbSUiIqLqIekK1C0ADIGpw2yKJNDqk3DuUS05P9d4yMCDL45Bi5to81qPpAaCM48stVJTwa6vrw/f+c538Ic//AHhcBgHHXQQ7rjjDqxevTqv51FtUtajwgxTQpNHQasvt1+R2wmo6syU7nVJOT8HERERVTnNhoiUWF8nTRtLE7DZJPjy/Mx32RNhbjxiot0mpV2/aMtj1rpmEsfo6Cg++MEP4tRTT8Uf/vAHdHR04L333kNLS+7JmIiIiKgY7FIMNqGn/m2T4tAKeB5JAlq8CgLhxCaZdh+mhTtTJNYl5qpmgt2Pf/xjzJs3D3fccUfqtkWLFlWwRURERFR34qEsFwgE5TkwjdCBN8Om9sCX9fEAbJ5p/5T275YdDhjTwl1yN3LcyH2VXc0Eu//6r//CGWecgXPPPRfPPvss5s6di0svvRQXXXRRpZtGRERE9WLktayXDCuLEYjNHJ9bqPhyejw6PzTjJvmAcNfmAwJhE7oh0JxHaZeaqWO3detW3HrrrTj44IPxxz/+EZdccgm+9rWv4a677rJ8TCwWQyAQmPZFREREVI2S4c4mA0MBA1o8UTcwn/I0NTNiZ5omVq9ejeuuuw4AcNRRR2HDhg247bbbcN5556V9zPr163HNNdeUs5lEREREFVMzI3bd3d047LDDpt22bNky7Ny50/Ixa9euxfj4eOpr165dpW4mERERUUFSa+pMoN2vwG7bf0JFHieG1MyI3Qc/+EFs3rx52m3vvvsuFixYYPkYh8MBh8NR6qYRERFRvWhdlfl+I4bunT/HXGXmJglDXwa0nlvQt013bFubX8JwwMBYsA53xX7jG9/ACSecgOuuuw6f+cxn8PLLL+P222/H7bffXummERERUb04YMfqDKYOhwjBFHGYUyY+VUmDboxnf3waQggMB8wZZ/Em19yFwnmcD5z3d6+QY445Bg888ADuuecerFixAj/4wQ9w88034wtf+EKlm0ZEREQNJg4VGpypL0Pkd/ZtkhDA6IQxI9QlyZKE5hxPwQJqaMQOAM4++2ycffbZlW4GERERUVFocYG4IdDZZEt76gSQqHOXq5oZsSMiIiKqN0IItHhmjtQVisGOiIiIqELsNjmvOnXZMNgRERERVYhc5CTGYEdERERUJxoy2IWiudeDISIiIqoVDRrsTATDmcOdmXuRZyIiIqKq0JDBzuOUEYhYhztdN6HFmeyIiIiottRUHbti8TgVyEoi3AGAzz1Z+E/TTYyGDDiKuEOFiIiIqBwaMtgBk2FuarjTdBNDQQM2RYLdlnsxQCIiIqJq0LDBDpge7rS4QCwuoCoS/G4ZMV1UuHVERERE+Wn4+UafW4FTlRDVBYQA2vxKXkd3EBEREVWLhg92mm4iFp8cnQtFuGmCiIiIalNDT8Um19SpioQ2v4JQxEQgYsJtCCgKR+2IiIiotjRssDsw1MmSlFpzNxYy4HE2/GAmERER1ZiGDHa6biKkTw91ST63grghoBncPEFERES1pSGHpcbC6UNdkselQOVULBEREdWYhgx2tgyhbuo1+bB6KsPkyB8REVE9EUj/2V4NQ0INGeyaPZlDXSFkOf2v0hQMdkRERHXF4qOdwa5CSlGnTrF4TpMjdkRERA2hGurgNmSwKwVFTt+ZBkfsiIiI6koxP9mLHRMY7IpEtgh2HLEjIiJqDIWM2GlxAVHEdMdgVyRWU7EcsSMiImoMhczECiEwOmEUbU0+g12RWI/Y8YgyIiKielLMXbF2m4y4ITAcKE64Y7ArEqtdtgZzHRERUX0p4mScLAMtHgV6hnAXihq5P1/xmtbYrDZPsNwJERFRYyh0V6yqymj3pQ93wbCBUDT3USIGuyKRpfS/SoNTsURERHXFashmNsVO7GnCXTBsIBAx8zq/viHPii0Fy3In3BVLRERUN+IZBmxmW8cuEe6AoaCBvSNxAIDfJcM0lJyfgyN2RWI5FctgR0REVDdK/bluV2U4bJOZwuPKL6ox2BWJ5eYJrrEjIiKqG5nWzhfj4Ilg2EBUF3CqEiQJGA4YedW541RskbBAMRERUf3LGOxmeVpsck2d3yXD51ag6SaGggZCMe6KLTvrXbHcPEFERFQvMu2JnM2I3YGhDpjcUBE3OGJXdtabJ8rcECIiIioZwzTTj4pJhe+KDUUMhDUxLdQl2VUZzW5unig7qzV2nIolIiKqH1Yf64VOw8YNgYmomTbUJalq7nGNwa5IFNmijh2nYomIiOpGsQdsdEPA67QOdflisCsSi5lYAIAWz33RIxEREVUvzbD4TC9wHlZVJHhcxQl1AINd0ViN2AFAVGewIyIiqgcxi8/0QtfX2ZQi1EiZgsGuSOy2TMEuXsaWEBERUalYjthViYYMdrpe/HVviixDVdIPpVqleyIiIqotMYvBmtkeJ1YsDRnsxsIGtCzhrpADI5xq+mDHETsiIqL6EIunzw/VEesaNNjZFAlDQetwJ4SAFs8/2Tksgh1H7IiIiOqD5Rq7Kkl2DRnsmj0KVItwZwqB0Yn8zmVLcqrp6z1z8wQREVF9iFlUupjtcWLF0pDBTpIktPlnhjtTCAwHDMQNkXEzhBVOxRIREdU3zWqwpjpyXWMGOyBxUsTUcBfTTQwHDOiGQItHQYbqJZYcFiN2nIolIiKqD1GO2FWvZLizycBQwIAWF2j3KXkd3TGV9Ygdgx0REVGt0w0TpmmxeaI6ch3SDzFRQaw3T3AqloiIqKaZBmKaBhmZdsUKwNw/mCNJgFT+8bOGDnapNXUm0O5XEAibGAoaaHIVOGJns5iKjSc2Y1RLjRsiIiLKw9DLwJ6H4TRNfNimQ4EBA9MHcyRJAiJ7gLe+n7hBcQAHfwVwtJe1qQ07FZsMdbqRmH51qHJqzd1oyIDFSGtGVlOxphDQLOreEBERUZVTvYARBUwdEAJxocKYMjYmSRIkmweJcTsBGBFAGIDNW/amNmSwEweEOvv+NXWpNXeKVFAQc9itD/GNxjkdS0REVJN8hwD2ZgghoMMBHXZM3QYrSQAkBVBcgOxM3Nd8BKA4y97Umg12P/rRjyBJEq644oq8HzsWmhnqkmRJQotXKWja1GmzDnYxjRsoiIiIapJsA1qOSozCYWadW3lqZhA6ICtAy8qyNW9aWyryXWfplVdewS9/+UscccQRBT0+bhHqkiRJgt2Wf7CTZRl2i/NiWcuOiIiohjUfCRM22DDz83zaYJARARwdgGdBGRs3qeaC3cTEBL7whS/gP/7jP9DS0lLQczS7rUNdUqH7HCx3xlrUvSEiIqIa4OpGSO6EKmkz7pKTmUEIAAJoXVWRHbFADQa7yy67DGeddRbWrFmT9dpYLIZAIDDtC0DBdepyYbWBIqJxxI6IiKhmSRL65UMhQQAHlDxJjdiZUUC2J9bXVUhNlTu599578frrr+OVV17J6fr169fjmmuuKXGrprM6L3Yiqpe1HURERFRcO+IL0As77NChwZG6PbXGzowB/qWAo7VCLayhEbtdu3bh61//On7zm9/A6cxtl8natWsxPj6e+tq1a1eJW2k9FRuMzhy6JSIiotpgmiZGYyr2mvNhk6YP1kgS9m+skICWo/N63rgxczPGbNTMiN1rr72Gffv24eijJ39hhmHgueeew89//nPEYjEoB2xccDgccDgcBz5VSVmN2DHYERER1a6JWBwCArvFEszD+5BhwNxfpFiWJMAIAzYP0LQsr+fVDYFQxIDdV5xIVjPB7rTTTsNbb7017bYLLrgAS5cuxXe+850Zoa5SXHaL0yd0A1rcgD1DSRQiIiKqTsFIYoBmn+hFRHjhQAgxuAHsn/4040Bb/rXrVEXCRNSETTHgc88+I9RMsPP5fFixYsW02zweD9ra2mbcXklep2p5XzCqoc3rKmNriIiIqBiSM28mFOwUS7BU/uv+XbASZClecO06myLB65QRiCQ2ZKQLd7qe+6EJNbPGrlb4XHbL+5Jpn4iIiGrL1CVVfeYSGFBgQxyyLEGeZe06j0uB35UId8Hw9PJomm5iLJx7ybSaGbFL55lnnql0E2bw2FXIkgRTzFwMGeTOWCIiopo0tbrFOFoxJtrRKu3bf7zY7GvXJUfqpo7cabqJoaABm5J7cd2aDnbVSJYleJ0qAmlG5zhiR0REVJumf65L2GkejDZlAHZZK1rtuqnhTosLxOICqiLB7cl97R2nYkvA60w/HcudsURERLXHNE2EDph12yMWQocddhEGvIuLVrvO51bgVCVEdQEhgDZ/fufXM9iVgNU6OwY7IiKi2pMsdTJVDG7sNedDyI68a9dloukmYvHJ7xWK5L5xAuBUbEn4LUbsWPKEiIio9lgtpdohDsUiZzTv2nVWkmvqVEVCm19BKGIiEDEhmQ2yeaJaseQJERFR/bCacRsUcyEtPRUoQi3dA0OdLEmpNXf9wyx3UlEseUJERFQ/rIKdU7VBLUKo09OEuiSfW4HHmXtcY7ArgWTJk3RY8oSIiKi2TFh8dvtc1jN0uTJNYDSUPtQleZzcFVtRyZIn6XDEjoiIqLakK2EGAD6LNfX50OImbBlCXb4Y7ErEqrO5M5aIiKh2pCt1klSMYCdJElq8xQl1AINdyXgt1tlZpX4iIiKqPulKnSRlWlOfK7tNyqtOXTYMdiViVfJEixuWyZ+IiIiqy8hE1PK+4ozYzfoppmnIYCfSnONabL4MJU+GJiIl//5EREQ0eyMZPrOLsXmi2Boy2I2FDJglDndWU7FA5vRPRERE1WPY4jO7WKVOiq0hg13cEBgOZA53cWN2wS9TyROrFwkRERFVD9MUloMxxVhfVwoNGeya3Qr0DOEuFDGgzzLYZSp5MjIRLct0MBERERVuPBJD3Ex/6kOmJVeV1JDBTlVltPvSh7tg2MBE1ISqzH41Y5PLkfZ23TC4O5aIiKjKZVo61eRO/xlfaQ0Z7ADAnibcBcMGAhETXqcMWxGCXavXaXkfp2OJiIiqW6bP6rYMn/GV1LDBDpge7vaOxBGImPC7ZHhcxVkM2eZ1Wd43zJ2xREREVW04aP1ZnWnwppIaOtgBiXDnsE2OznlcxfuVtPmsO30kyBE7IiKiahU3TYyFY2nva3I5qnJHLMBgh2DYQFQXcKoSJAkYDhhF29hgtymWxQtHQzGYFgsyiYiIqLLGQjHL6hmZBm4qraGDXXJNnd8lo81vS03Ljk4YKNam1TZf+ulYQ5gYtfhLgIiIiCor0zRspqVWldawwW5qqPO5E8OpyTV3cUNAixcn2WVaXMlCxURERNUp08aJal1fBzRosAtFZ4a6JLsqo8WjFG06ljtjiYiIao/VJkdZktDiqc5SJ0DDBrv0oS5JVWXYbcX51bR6nJBgcQIFN1AQERFVnUz1Zps9Tihy9can6m1ZCXmc1qEuqVh9ZlNkNFsk+/FwDHGDGyiIiIiqSaalUtVavy6pQYNdebcoW70IBKzPoCMiIqLKGGKwo0wyrbMbCITL2BIiIiLKZmDM+rOZwY7QnmFb9J7RiTK2hIiIiDKJGyb2jacPdjZZhr/IZ8QWu6Qtg10ZNLntUKT0v+rhYBQx3Shzi4iIiCidfYEwDJE+bbV6nZCl2Z8lP5UWN6HrxUt3DHZlIMsyWrzpE76AQP9YqMwtIiIionT2jFp/JpdiGlaSJIyGDGhFCncMdmWSqUr1njFOxxIREVWDvRk+k0tx4oTdJsGmSBgKWoe7fGrrMtiVSaZz5fZmWKRJRERE5TER1Szr1wGlOSNWkoAWrwLVItyZQmAslPuSLQa7MsmU8iOajtEQy54QERFV0p4MS6McqgKv016S7ytJEtr8M8OdKQSGAwbiBkfsqo7PqcKp2izvzzSnT0RERKW3N0Olig6fu6TfWz4g3MV0E8MBA7oh0JzlUIVpz1PCNtIUkiShu9ljef9ebqAgIiKqGNM0MWBR5gQAelqsP8OLJRnubDIwFDCgxQXafQpUNfe4xmBXRpleFIOBMHSDZU+IiIgqYTAYgZ7hmM9MgzPVhMGujLqavZb3mUKgP8NfCkRERFQ6mZZE+V32kq2vmyq1ps4E2v0K7LbEtGw+de4Y7MrIqSoZN1Hs5To7IiKiisi0JKq7xXpgpliSoU43EtOvDlVOrbkbC3NXbNXqzjAdy+PFiIiIyi+cpTpFT4mnYcUBoc6+f01das2dkvtpFwx2ZdaTYTo2FNMxHomVsTVERESUacZMkWR0+ku3I1YIYHRiZqhLkiUJzR7uiq1abV4n7DbrDuJ0LBERUXllql/X2eSGTSldXNLiAnGLUJck5XE+LYNdmcmyhK4MQ7o7hgJlbA0REVFj0w0Te0asl0KVusyJEAItHutQly8GuwrINFc/FIxkPM6EiIiIimfXcBBxM0OZkxIHO7tNzqtOXTYMdhWQ7UWybXC8TC0hIiJqbFv3WX/mehwqmlyOkn5/uchJjMGuAtx2Fc1u64OEt+0bhxC5nwtHRERE+QvFdAyMV7bMSbE1ZLALRSt/wkOmOftQTMe+AIsVExERldK2DKN1QHmOESu2Bg12JoJZiv1lmG4vimwvlkxDw0RERDR7mZY+yZKErqbSlTkplZoJduvXr8cxxxwDn8+Hzs5OnHPOOdi8eXNBz+VxyghErMOdrpvQ4qVNdh0+F9QM26d3DQcRz3BmHRERERUu22bFDr8bqpJ7/bhqUTPB7tlnn8Vll12Gv/zlL3j88ceh6zpOP/10hEL5133zOBX4XenDnaabGA0ZedWMKYQsy5iT4S8B3TCxayRY0jYQERE1qmwzY90lPm2iVGyVbkCuHn300Wn/vvPOO9HZ2YnXXnsNH/rQh/J+Pp87kcIDETP1b003MRQ0YFMk2G2lDXYA0NPixe4MtXO2DoxjUUdTydtBRETUSAzTzFo3thbX1wE1FOwOND6eSNqtra2W18RiMcRik0d0BQLTO3FquNPiArG4gKpI8LtlxPTS70qd1+bDq1sHYFrsgO0fDyEc0+F2qCVvCxERUaPoG5mAFrdea9/kcqDFY129oprVzFTsVKZp4oorrsAHP/hBrFixwvK69evXo6mpKfU1b968Gdf43AqcqoSoLiAE0OZXSj4Nm+RUbVn/ImBNOyIiouLamuWzdVFn7c6W1WSwu+yyy7Bhwwbce++9Ga9bu3YtxsfHU1+7du2acY2mm4jFJ0fMQpHybljINtW6bR+PGCMiIiqWqBbPei77ok5/mVpTfDU3FXv55Zfj4YcfxnPPPYfe3t6M1zocDjgc1hWjk2vqVEVCm19BKGIiEDHhNgQUpTyjdnNbvbDbFMsh4fFIDMMTEbR5XWVpDxERUT3bPhSwXAIFAF3NHrjttbsEqmZG7IQQuPzyy/HAAw/gqaeewqJFi2b1fAeGOlmS4HMndstORE3EjfKc/KDIMha0Z/7LYMsAp2OJiIiKIdtu2MU1PA0L1FCwu+yyy/DrX/8av/3tb+Hz+dDf34/+/n5EIpG8n0tPE+qSfG4FXqcMvUzBDsj+Ito2MI6IppepNURERPVpz+gERkNRy/tVRca8Vl8ZW1R8NRPsbr31VoyPj+OUU05Bd3d36uu+++7L+7nGwulDXZLHpUAt01QsALT7XPC77Jb3G8LEpj2jZWsPERFRPdqweyjj/fPbfLBlODygFtTMGjuRYT48X7YMoW7qNeW0qKMJb+4ctLz/vf5RHDa3DQ619qpgExERVdrAeAiDgcyzfLW8GzaptmNpgZo9mUNdJWR7MemGic17R8rUGiIiovqyYfdwxvs9DhWd/to7G/ZADRnsylWnLh8eh4o5TZlr2m3eOwrdsC6oSERERDMNT0TQP5atxElTVeaDfDVksKtW2TZRaHED7/aPlacxREREdWLDrsyjdUD2urKlUsSVZgAY7KrKvDYfbHLmLtnUN4K4Ud4iykRERLVqNBTF7pFgxmuybWIsJS0uirqPgMGuiqiKjHltmbdZR/U43h8YK0+DiIiIatzGLGvrgMrWrhNCYHTCyFg0OR8MdlVm8ZzsL653+kZgmhy1IyIiyiQY0bBjKPNonSJlPyiglOw2GXFDYDhQnHDHYFdl5vjd8DgyH2US0nRsG+QZskRERJm83TcMgcxhaW5b4mjPSpFloMWjQM8Q7kLR3DdOMthVGUmScGhPa9br3t49XLRhWyIionoTiunYluX4MABYlsNnbqmpqox2X/pwFwwbCEVzn6VjsKtCB89pzlqIOBjVsG0fR+2IiIjS2bAr+wBIV5MH7T5XmVqUmT1NuAuGDQQiJjzO3OMag10VsikylnZn/wvijR0DiOqsa0dERDTVYCCCLQPZj+JcMa+tDK3J3dRwt3ckjkDEhN8lw+PMfaqYwa5KHdLdAlXJ3JEx3cAb2wfK1CIiIqLqZ5omXnp/b9brOnyurAcDVIJdleGwTRZK9rjyi2oMdlXKblNwaHdL1uu27htH/3jmatpERESNYmPfCMbDsazXLe9tL0Nr8hcMG4jqAk5VgiQBwwEjrzp3DHZV7NCe1qwFiwHg5S39LFpMREQNLxDRcjplosXjxNxWbxlalJ/kmjq/S0ab35aalh0LcVdsXXCqCg7qas56XTCq4e0cCjASERHVs5ff74chsg90LO+trrV1wPRQ53MnlmIl19zFDY7Y1Y1lc1shS9m7aWPfMMZC0TK0iIiIqPq8PzCOgRyWJvlddszPcspTuYUiM0Ndkl2V0ezm5om64barOZ1GYQqBl9/vL+p5c0RERLUgqsfxeo6bCZf3tkOSpOwXlkncEJiIpg91SarKcid1ZfncVkjI/iIcDEbwHs+RJSKiBvP6tn3Q4tnXoXkcKha2V9donW4IeJ3WoS5fDHY1wOu0Y2FHbufY/XX7IMKaXuIWERERVYe9oyFsG8x+wgSQWFsn57ApsZxURYLHVbwjzarrpyNLuS701A0DL2/hlCwREdW/mG7g5a39OV3rsqtY1Jl9aVO52ZTiTgsz2NWIJrcD89tyG7XrG53AX3cMlrhFRERElWOaJp7f3IeJqJbT9ctyLCFW6+r/J0xD12uz5tuRCzqg5LBDFkjskn2vP/txKkRERLXopff7c9oFCwA+px0HdzeXtkFVoiGD3VjYgJYl3FXjTKbfZc/rXLtX3h/A3lGeSkFERPVlw64hbN2X27o6ADj2oK6GGK0DGjTY2RQJQ0HrcCeEgBavwmQH4LC5rWhyO3K6VkDg+c19GMvhaBUiIqJasGMogDd35r7caHFnE7qq8EzYUmnIYNfsUaBahDtTCIxO5HcuWznJsozjlnTnfL1uGHhm4y5EtHgJW0VERFR6Q4EIXnx3b87XO1QFRy+cU8IWVZ+GDHaSJKHNPzPcmUJgOGAgbgjYbdX7q+nwu3BwV0vO14diOp57ZzfPkyUiopo1EdXw7KZdOR0ZlnT0wjlwqMUrJVILqje9lJh8QLiL6SaGAwZ0Q6DFo6Dap+JXLuiAy67mfP3QRAQvbtlbtSORREREVrS4gWc27kZUz16EOKmr2YPFVVjepNSqPL6UVjLc2WRgKGBAiwu0+5S8ju6oFLtNwapFnXk9ZudQAK9uG4DJcEdERDUipht47p3dGI/kvl5ckWQcu7irhK2qXtWfYMjSgnY/elu9eT3m3b2jeGbjLsTy+KuHiIioEsZCUfzxb9sxEAjn9bjD57fB57KXqFXVraGDXWpNnQm0+xXYbYlp2Vqqc7d6cRdUJb9u3DsWwqN/247RULRErSIiIpqdXcNBPPbWDgRzLECc1OJxYllPa4laVf0aNtglQ51uJKZfHaqcWnM3GjJg1ki28zhUHDG/I+/HTUQ1PPa3Hdg5FChBq4iIiAojhMDfdg7iuU27oRew6e/YJV1Vdx5sOTXkTy4OCHX2/WvqUmvuFAlavEaSHYBDulvQ5nXl/bj4/uNY/rpjkJsqiIio4nTDwHObduOtXUMFPf6Q7ha0+/L/PKwnDRnsxkIzQ12SLElo8SqQpOIeyltKsiThhEN6YLcVtqX77d1DePad3dDiXHdHRESVEYhoePTN7dg9MlHQ41s8Thy1IL9NhfWoIYNd3CLUJUmSBLutdoIdkDhu7ENL50IuMJD2jU7gD29ux/sD4zBrZR6aiIhqnhY3sGHXEB59czsCkfzW0yW57SpOOawXtjzXnNcjW6UbUAnNbutQl1RDA3Ypc5o8OO6gbrz43p6CHj8R1fCXLXvw1k4VS+e24qA5zXyTEBFRSYQ1HZv3jOK9/tGC1tIl2WQZpyzrhTuP2q71rCGDXS3UqSvU4s4mBKMaNhS4PgEAQpqO17YNYMPuISztbsXBXS0NV7mbak9Y0zE4HsG+QBiDwQgm8txJV5skNHsc6PS50eF3ocPvKnhJBlG5BKMaNvaNYNvAeF6nSKQjQcKJh85Fi9dZpNbVvoYMdvXuyPkdmIho2D7LHa8x3cCbOwexsW8YB3U1Y1FHE3xOO0fxqCqMR2LYNx7GYCDSQEFupsFAGIOBMNCX+HeLx4kOnwudfjc6mlwcxaCqoMUNjIVieK9/FDuGghAozoa9VYs6MTfPeq71jsGuTh13cDdCMR2Dwcisn0s3TLzTN4J3+kYAJEqs+F0O+N12+F12NLns8DrtUOQanL+m2iASI8n7xiOJIBMM53W0UCMZDUUxGori3f5RAIDXaU8EvSY3Ov3uqj4Hm2qfbpgIhDUEolrifyMxBCIaonq86N/rkO4WHFoH9eriRnGrUjDY1SmbLONDy3rxx7/tKPpIRiimIxTTsXesqE9LRCUwEdUwEdWwbXC80k0hKpqeFi9WLZxT6WYUhW4IhCIG7L7iRDL+6VbHnKoNpxzWC7vCNTdERFQfWjxOnHhoD+Q6mSVSFQkTURPBcHFmIRjs6lyTy4GTlhVeBoWIiKhauOwqTl7WC7WOBixsigSvU0YgYh3u8jnqlMGuAXQ1eXDa8vlwqpx5JyKi2tTiceKMwxfA46i/DUEelwK/K32403QTY3mM5jHYNYjOJjfOPHIhWgs4eoyIiKiSFnY04fTDF8DjrL9Ql+Rzzwx3mm5iKGjApuQ+68YhnAbicaj4uxXz8fL7/VxITUREVU+ChKMWdmDZ3LZKN6UsfO7EFHMgYkKLC8TiAqoiwe3JfeqZI3YNxqbIOOGQHqxaNAcSuO6OiIiqk92m4NTD5jVMqEvyuRU4VQlRXUAIoM2f3/n1HLFrUEt7WtHsceBPm/sQYz0wIiKqIs1uJz60bC58Tnulm1J2mm4iFp+sbReK5Hc6B0fsGlhXkwdnHrEQLR4exUJERNVhfpsfpx+xoGFD3VDQgKpI6G61pdbchaK5D8BwxK7BeZ12nH74Ary9exib945CNzh6R0RE5edxqFje24aDu1oq3ZSKmBrq2vwKZElKrbnrH67jcie/+MUvsHDhQjidThx33HF4+eWXK92kmmdTZBy5oAOfOGYJVi7sZFkUIiIqm2a3Eycc0oOPHb2kYUOdnibUJfncCjzO3ONaTQW7++67D1deeSXWrVuH119/HUceeSTOOOMM7Nu3r9JNqwuqomD53DZ8fPUSHLukC94GHAYnIqLy6PC5cPKyefj7lQuxqKOpbk6SyJdpAqOh9KEuyeMs4a7Y8847D88991y+DyuKG2+8ERdddBEuuOACHHbYYbjtttvgdrvxq1/9qiLtqVc2WcbBXS346FGL8cFDergGj4iIiqanxYs1K+bj9CMWorfVm9eOz3qkxU3YMoS6fOU95zY+Po41a9ZgwYIFuOCCC3Deeedh7ty5s25INpqm4bXXXsPatWtTt8myjDVr1uDFF18s+fdvRLIsYWFHExZ2NGEwEMFYOIpAREt9TUS1SjeRiIiqlCzJ8DlV+N12+F0O+F12tHmdaHI7Kt20qiJJElo8ctGO/sw72D344IMYHBzE3Xffjbvuugvr1q3DmjVrcOGFF+LjH/84VLU0VaGHhoZgGAbmzJkz7fY5c+Zg06ZNaR8Ti8UQi8VS/w4EAiVpWyPo8LvQ4Z9+akXcMBGMJkLecDCCoWCkQq2jemdTFLR5OXI8W0II7AuEK90MqmO9rV743U74XXZ4HWrDTq/mw26TijpqWdAq+Y6ODlx55ZW48sor8frrr+OOO+7Al770JXi9Xnzxi1/EpZdeioMPPrhojSzU+vXrcc0111S6GXXLpsho8TjR4nFiQbu/0s0hIiKqOcWeiZ7V5om9e/fi8ccfx+OPPw5FUfD3f//3eOutt3DYYYfhpptuKlYbAQDt7e1QFAUDAwPTbh8YGEBXV1fax6xduxbj4+Opr127dgFI/NVKREREVG/yDna6ruM///M/cfbZZ2PBggW4//77ccUVV2DPnj2466678MQTT+B3v/sdrr322qI21G63Y9WqVXjyySdTt5mmiSeffBLHH3982sc4HA74/f5pXwAwFjJgMtwRERFRncl7Kra7uxumaeLzn/88Xn75ZaxcuXLGNaeeeiqam5uL0LzprrzySpx33nlYvXo1jj32WNx8880IhUK44IIL8nqeuCEwHDAy7kCJGwx+REREVFvyDnY33XQTzj33XDid1guZm5ubsW3btlk1LJ3PfvazGBwcxNVXX43+/n6sXLkSjz766IwNFdk0uxVoGcJdKGJAZ7AjIiKiGpN3sPvSl75Uinbk7PLLL8fll18+q+dQVRl+p4KhoDEj3AXDBiaiZl5VnhtR3DARjGgYj2gIRGIYnohiNBStdLOoTtlkGQs6/Oj0udDud0FVci/WSUBEi2NfIIzBQBg7h4OVbg7Vse4mD/xuB/xuO5pcDu6MrYCGPTvKrspo92FauAtFTAQiJrxOGYrCF2KSbhjYORTEaCi2v4ZdDKGYXulmUYPZsGsIACBBQovHgY4mNzp9LnT43XDZG/Y/ZWkFI1oqyO0LRBBkzUkqk62D49P+LUsSvE4VTS4HfC472r1OzG31MeyVUEP/13BquNs7EgcA+F0yHHYZUS33A3frVVSPY/PeUby7ZxSaYVS6OUQAAAGBkVAUI6EoNu+/zee0o7PJjQ6fG51+F3yuxjkOzxQCY6HY/iAXwWAgjIger3SziAAkXp/JovZJXqcdh81txaLOJthkzo4VW0MHOyAR7hw2E1E9sabO45IRb/AME4rqeGfPMLYMjMMwGXCp+gWjGoJRDe8PjAEAXHYVXmf9/+dNCGA8rEHnH15UQyaiGl5+vx9/2zmEpT2tOKS7mcsriqj+/8uXRTBsIKoLOFUJsXhiQ4Xf3Zh/QYyHY9jYN4ztgwGWg6GaFtF0RDQuFyCqZlE9jr/u2Ie3dw/jkO4WLO1ugZPLKmatoX+DwbCBQMSE3yXD51ag6SaGggZGJwy47I0T7sIxHa9uHcCuES6qJiKi8tINA2/vHsKmvhEc3N2MI+d3wKY0zmdwsTVssDsw1AGTa+72jcehxRtjxGpfIIznN/UhyjU5RERUQYYwsWnPCPaNh/Ghpb3wOEtz9ny9a8hIHIrODHVJdlVGi0dpiGPH3usfxZMbdjLUERFR1RgJRfHo37ZhYDxU6abUpAYNdulDXZKqyrDb6vdXY5omXtqyFy+/38+1dEREVHWiuoGn3t6FzXtGKt2UmtOQU7Eep3WoS6rXHdhhTcefNvVhMBipdFOIiIgsmULg1W0DGA3HcMziOVDq9YO5yBo02DXmtuqhYATPberjbkEiIqoZ7w+MYTwcw0lL58Jt57q7bBh/G8T7A+N4/K2dDHVERFRzhoIRPPrX7RgMcLYpGwa7BvD+wDj+smUPTMFiw0REVJsiehxPvb0TIxP1dS55sc8BYLCrcwPjIbz8/t5KN4OIiGjW4qaJZ97ZjXAdnVeuxU3oevHSXUOusWsUgYiG5zb1lWXnq02WefwYlYwsyXCqjbk2tpgEwOUYVFKyJMEo8WdORNPxzDu78XeHL4BaB4WMJUnCaMiAapNgV2f/8zDY1amobuDpjbugFfHgWwkSPE4Vfpf9gC8HXDwGhoio4QkhEIrpCES0GV/F/KNiNBTFC5v78KFlvZAlqWjPWwl2mwTDlDAUNNDuQ9pwl09tXX4a1yHDNPHcpt2YiGpFeT6/y47D5rZhQbufx7wQEZElSZLgddrhddrR0zL9vqhuYEv/KDbtHUFMn/2gQ9/oBF7fvg+rF82Z9XNVkiQBLV4FgbCZNtyZQmAslPvvi8GuDv1lSz8GA+FZP0+r14nlc9vQ2+ar+b+IiIiospyqghXz2rG0pxVbBsawqW8EoVmO4m3eMwK/045DuluyX1zFJElCm1/BcMCYFu5MITAcMBA3OGLXsP62cxDbB8dn9RxzmjxYPrcN3S2eIrWKiIgowabIWNrTikO6mrFtMIiNfUMIRAqfYXp16wA8DhVzW71FbGX5yQeEuzYfEAib0A2B5iyHKkzFYFdHtg2O461dQwU/fo7fjZULO9HucxWxVURERDPJsowlc5qwuNOP3cNBvL5jsKAlRAICL7zbh787fAFaPM4StLR8kuFuaDyOoUBi+rXDryASzX0ZFBdM1Yl9gTD+8l5/wY9f1tOKDy+fz1BHRERlJUkS5rX7ceYRC9HdXNiom26YeGbjbu76BoNdXYgbJl58b29BBYgVScYJh/Tg6EVzIMtcR0dERJXhUBWcclgvDpvbVtDjw5qOV7YOFLlV5ZVaU2cC7X4Fdltit2w+de4Y7OrAW7uGChq+9thVnH7EAizqaCpBq4iIiPIjSxKOWtiJDx4yF4qcf0TZNRzErpFgCVpWeslQpxsC7T4FDlVGm1+BqkgYC+e+K5bBrsaNhqJ4p28k78d1+t0488iFaPXW9noEIiKqPws7/Djj8AXwONS8H/vq+wPQjeLVcC0HcUCoS5Y7Sa65sym5z6gx2NUwUwi8tKUfAvlV+T6kqwWnLZ8HJ4sKExFRlWrxOnHmkYswpym/Cg1hTcebOwZL1KriEwIYnZgZ6pJkSUKzJ/ddsQx2Ney9vaMYnojk9ZjVi+bgmCVdkAsY4iYiIionp6rgw4fNy3vJ0Oa9oxgK5vf5WClaXCBuEeqSpDxqyfLTvUaFYjre3JnfXySHzW3DoT2tJWoRERFR8cmyhA8c1JX3yN3L7/fDrIEzzIUQaPFYh7p8MdjVqFe3DkA3cn/Bzm/zY+WCjhK2iIiIqDRkWcZJh86F32XP+TGjoSje2TtawlYVh90mQy1SqAMY7GrSrqEAduex66fN68LxB3fnNZRLRERUTRLlUObBoea+3uytnUMIFunc9FIp9sooBrsao8UNvLJtX87XexwqTl42FzaFXU1ERLXN57Tj5KXzoEi5faYZpolX3i+8eH8tashP+1C0trZBT/XmjsGcK2urioJTlvXCZc9/uzgREVE16vC78IGDu3O+fu9YCNtmeYZ6LWnQYGcimKXYXzWutxwKRPBuf27rBSRIOOnQHjTX+Ll5REREB1rY4ceR83NfN/76tgHE9Nod1MlHQwY7j1NGIGId7nTdhBavvmT31x25T8Ees2QOulsKO3OPiIio2q2Y147FnbmVQYnqRkHF/GtRgwY7BX5X+nCn6SZGQ0bVbTTYFwhjIBDO6dqDu1pwcFdLiVtERERUWcct6UKb15XTte/2j0KL1/+oXUMGOwDwuWeGO003MRQ0YFMk2G3VFeze3j2c03Vuu4qjFrKsCRER1T9ZlnHcQV2QkP0zWzcMvFsD5U9mq2GDHTA93A0H4hgKGlAVCS1eBdU0YDcyEcWe0Ymcrl29ZA5UJfet4ERERLWsxePEsrm5Fd/ftHckrxqwtaihgx2QCHdOVUJUFxACaPMrVTcNm+to3bxWH+a1+krcGiIioupy+Lx2eJ3ZixfHdANb+sdK36AKavhgp+kmYnGR+ncoUl1Jfjwcw87hQNbrVEXG6iVzytAiIiKi6mJTZBy7OLfPwHf2jCBejaUviqShg11yTZ2qSOhutaWmZUOR6llcmeto3coFnXCzXh0RETWo7hYvFnZk3yUb0XRs21e/de0aNthNDXVtfgWyJKXW3E1ETcQNkf1JSiwY1bB9MPtoXbvPhYO7mkvfICIioiq2amEn7Lbs68zf3j0Ms05H7Roy2OlpQl2Sz63A65ShV0Gw29g3AoHM7ZAlCccu6aq6dYFERETl5rTbcPTCzqzXhWI6tg/lfuZ6LWnIYDcWTh/qkjwuBapS2aAU1nRsHcg+VLyspw0tPF2CiIgIALBkTjPmNHmyXvf27iEIUflBnGJryGBnyxDqpl5TSe/0jcAUmYeJvU47VsxrK1OLiIiIasOxS7qgSJkjTiCiYedw/Y3aNWSwa/ZkDnWVFs1xO/Yxi+fApjRkFxIREVnyu+xY1pu9tl2uGxRrSUOmgmpfj7Y5h63YbV4XengWLBERUVpLu1uhZhn8GA1F0TeS2wEAtaIhg101M0wT7/ZnP/JkOadgiYiILDlUJadz0zfvHSlDa6wVe5kfg12V2TMykfWQ4ma3E70crSMiIspoaU9r1rV2/WNhhDW9TC2aSYuLom7iYLCrMltzqFu3vLe16qeTiYiIKs1lt2FJV+aixQIC23L47C0VIQRGJwyYRQp3NRHstm/fjgsvvBCLFi2Cy+XCkiVLsG7dOmiaVummFVVUN7BnNPNcv89px/x2f5laREREVNsO62nLumFyWw7lxUrFbpMRNwSGA8UJd7YitKnkNm3aBNM08ctf/hIHHXQQNmzYgIsuugihUAg33HBDpZtXNDsGx7N26vLe7C9QIiIiSvA4VSzqbML7A2OW14xHYhieiKDN6ypfw/aTZaDFo2A8YmI4YKQtxxaK5n7UaU0EuzPPPBNnnnlm6t+LFy/G5s2bceutt9ZVsNs6mPkvBo9dxaIOjtYRERHl47C5bdg6MJ7xNKdt+8YrEuwAQFVltNskDAWNGeEuGDYQiuZ+/FlNTMWmMz4+jtbW7DVqasVYOIaRiWjGa5bNbYUs12yXERERVYTfZcf8dl/Ga7YPBSp6fqxdldHuU6BPmZYNhg0EIiY8ztw/+2syJWzZsgU/+9nP8OUvfznjdbFYDIFAYNpXtdq2L/NonVO1Ycmc5vI0hoiIqM4s781cJiymG+gbC5WpNelNDXd7R+IIREz4XTI8TiXn56hosLvqqqsgSVLGr02bNk17TF9fH84880yce+65uOiiizI+//r169HU1JT6mjdvXil/nIKZIvuOnKU9rTxlgoiIqEAtHid6WzOXCqvkJookuyrDYZtcY+dx5ffZX9E1dt/85jdx/vnnZ7xm8eLFqf+/Z88enHrqqTjhhBNw++23Z33+tWvX4sorr0z9OxAIVGW4GxgLIZKhho5dUXBId3P5GkRERFSHlve2Y3eGkyb6RicQ0w041NxHyIotGDYQ1QWcqoRYPDEtq0q575ataLDr6OhAR0dHTtf29fXh1FNPxapVq3DHHXfktNbM4XDA4XDMtpkll6123UFdzVCVyr3IiIiI6kG7z4U5fjcGAuG095tCYMdQAId0Zz+xohSSa+r8Lhk+twJNNzEUNBCK5b4rtibm9vr6+nDKKadg/vz5uOGGGzA4OIj+/n709/dXummzphsGdg0HM17DtXVERETFsaizOeP9W7OseS+VA0MdMLnmLm7UyIhdrh5//HFs2bIFW7ZsQW9v77T7inkMRyXsHArCyLALp93ngt9lL2OLiIiI6tf8di9e3SojbvHZOzwRwXgkhiZX+Wb8QhEDYU1MC3VJdlVGs7tGNk/k6vzzz4cQIu1Xrcv2l8GizsxHoRAREVHuVEXBvLbMpU+2lnETRdwQmIiaaUNdkqrWebmTejER1bDPYp4fAGRJxoI2FiQmIiIqpmyDJtsHA0U7uzUb3RDwOq1DXb4Y7Coo29q63lZvRXfmEBER1aM5TW647arl/WFNx3Aw86EBxaIqEjyu4n3WM9hVUN9o5kKInIYlIiIqPlmSsDDLEZ17xqzLohSTTSnu+e8MdhWiGyYGAxHL+52qgp5mdxlbRERE1DgWz8k8eLIny+BLtWrIYKfrlTsLLmlgPAxTWLdjQUcTz4UlIiIqkSaXA21el+X9IxMRRPV4GVtUHA2ZHMbCBrQs4a7Uayb3jmYe4l3cwWlYIiKiUlqcZcnT3gqfHVuIhgx2NkXCUNA63AkhoMVLm+z2ZHixNLudaPU6S/r9iYiIGt2Cdj9kyXqN294anI5tyGDX7FGgWoQ7UwiMThglrZEXiGiYiGqW9y/uZIkTIiKiUnOoCua2eC3v3zsWqrmauQ0Z7CRJQpt/ZrgzReKw3bghYLeV7leTaRpWgoQFWXbqEBERUXEsyrCJIqrHMRIqT9mTYmnIYAcktjpPDXcx3cRwwIBuCLR4FJRy30KmadjuFk/G2jpERERUPHObPRlrxtbadGzDBjtgMtzZZGAoYECLC7T7lLyO7shX3DQxMG592kS2Y06IiIioeGRZRm+G6dhMgzHVqKGDXSUMjodhWBw8DAA9zZ4ytoaIiIi6MwS7oUAEWtwoY2tmp6GDXWpNnQm0+xXYbYlp2VLWucuU/JvcDrgdnIYlIiIqp64mDySk3x0rIGqq7EnDBrtkqNONxPSrQ5VTa+5GQwYyDKrNSqa5eo7WERERlZ9DVdDmsy4zxmBX5cQBoc6+f01das2dIkGLFz/ZhaI6xiMxy/szDQUTERFR6fRkKntSQxsoGjLYjYVmhrokWZLQ4lUgZShYWKhMBwrbZBmdfuujTYiIiKh0ujPMmoU1HWM1UvakIYNd3CLUJUmSBLut+MEuU+Kf0+SGwrNhiYiIKqLN68xc9qRGpmMbMkk0u61DXVKxB+xMU6A/Q5mTTEPAREREVFqSJKG7OUPZkxqZjm3IYFfKOnVWxiMx6Ib1dunuFm6cICIiqqRM07HDExGYNXC8WEMGu0oYnrCem/c57fA57WVsDRERER0oU3UK3TARiFif814tGOzKZDhoHew4WkdERFR5TrsNrR7rsicjGT7LCxU3ijsKyGBXJsMTEcv7ejLM6RMREVH5ZCo9lumzvFC6IRCKFO9kCwa7MogbJsbD6evXKZKMOU3uMreIiIiI0sk0HZtpWVWhVEXCRNREMFyccMdgVwajoZjlgssOvws2hd1ARERUDdp9LqhK+rIno6EYzCIfTWVTJHidMgIR63CXz1GnTBRlkHEalmVOiIiIqoYsS5a7Y01hYtRiBm42PC4Fflf6cKfpJsbyGM1jsCuDkQxDt51NPG2CiIiomnRkOAmqFNOxAOBzzwx3mm5iKGjApuReXNdWktbRNFYjdrIko8XtKHNriIiIKJM2b4ZgF4wAXS0l+b4+d2IKOBAxocUFYnEBVZHg9lifiHEgjtiVmBY3LOvetHgckHmMGBERUVVp8TogWxxBVaoRuySfW4FTlRDVBYQA2vz5nV/PVFFimV4AbV7rWjlERERUGTZZRpPFjFogrEE3iruBYipNNxGLT264DEXy+14MdiU2kmHjRKahXiIiIqocq89oAZHxs302kmvqVEVCd6stteYuFOXmiaqR6cSJVh9H7IiIiKpRW4bP6EybIgs1NdS1+RXIkpTaUBGK5j5qx80TJWY1FasqMvwung9LRERUjTItlxoqcrDTdRPjEXNaqEvyuRUEQ7mPw3HEroQimo6wpqe9r9XjtFyYSURERJXV5HJAsdjgWMwRO9MERkNG2lCX5HFyV2xVGJ6wLmLY5uP6OiIiomolyxJavek3UExENUT14hwBpsVN2DKEunwx2JVQphMnWrkjloiIqKpl2uRYrA0UkiShxVucUAcw2JVUpqFaljohIiKqbpk+q4s1HWu3SXnVqcuGwa6ErAoTO1QFXic3ThAREVWzTCN24xaf8fkq9nL7hgx2QojsF82SaZoIRdNvnGD9OiIiournc9lht6XfuBAsUrArtoYMdmMhA2aJw10wpkMg/ffgNCwREVFtsFoTH4wy2FWNuCEwHMgc7uLG7IJfMJJ+tA7giB0REVGtsPrM1uIGYkXaGVtMDRnsmt0K9AzhLhQxoM822GVI8hyxIyIiqg2ZTqCoxlG7hgx2qiqj3Zc+3AXDBiaiierPhdg4vgd/9+RN2DE+kvZ+l12F084DP4iIiGpBq9s62Glj7wKbfwoY1nVry60hgx0A2NOEu2DYQCBiwuuUYSsw2N2/4zVsHN+LJwY3pr3f51Rn02wiIiIqI7fDBkVKH5fs468B4T4g8E6ZW2WtYYMdMD3c7R2JIxAx4XfJ8LhyP7pjqkhcw0O738S4HsVTIxvT7r718XxYIiKimiFJErxpBmUciMAd3QIYEWDkjQq0LL2GDnZAItw5bJOjcx5X4b+Spwc2oz8aQJfTh13RIezUh2ZcwxE7IiKi2uJzzfzs7pG2QzajgM0HTGwBYumXYJVbwwe7YNhAVBdwqhIkCRgOGAXXuXtg118hhIBXcUITBl4PbZ1xDQsTExER1RbfjM9ugXnyexACgOICDA0Ye6sSTZuhoYNdck2d3yWjzW9LTcuOThjIN9vtjYzjmYHN8NocMAWgSgpejWyBZsanXefnVCwREVFNOXAZlR8jaJGGoAk7TEiJ4yNGXgOEWaEWTqq5YBeLxbBy5UpIkoS//vWvBT/P1FDncyfW1CXX3MUNAS2eX7J7pO8tTMRj8KkOmELALdsxboTxTnTXtOtmpn4iIiKqZgfOtvXKW6EgjjhsMIRIjNrF9gGhHRVq4aSaC3bf/va30dPTM6vnCEVnhrokuyqjxaPkNR0rhMD9O16FJEmQJRmGKWCTEs/xavj91HUuuwqbUnO/ciIioobmnxLsZBiYJ22BKWQAEkzTBCQVMA1g7G+Va2SqfTXkD3/4Ax577DHccMMNs3qeUDR9qEtSVRl2W+6/mr+O7sKmwACa1UR1atNMDMU6ZBUbo7sxFg8B4MYJIiKiWjS15EmH1Ae3NAENDgCAYYrEVKxsA0bfrHhNu5oJdgMDA7joootw9913w+12z+q5PE7rUJck5/Gb+a/dbyJmxuFSEsHNMBOjfS7JjqjQ8GZkOwCWOiEiIqpFU0uezJPehwQBE4kckTrkQHEB8YmK17SriWAnhMD555+Pr3zlK1i9enXOj4vFYggEAtO+AMDjLKxOXTrJ2nUO2QZJSpRNSXayLEmQBPBS6F0IIThiR0REVKN8LhUORNAl70RcTJ4glRzMgaQAEBWvaVfRYHfVVVdBkqSMX5s2bcLPfvYzBINBrF27Nq/nX79+PZqamlJf8+bNK/rPkKxd12RPHDmS6uD93LIDe/QR7NSHuHGCiIioRvmcdvRI26EiBg2Tn+fTPvdlR8Vr2lX00NJvfvObOP/88zNes3jxYjz11FN48cUX4XA4pt23evVqfOELX8Bdd92V9rFr167FlVdemfp3IBAoerhL1q6zy4lf5YHBzi7ZMGHG8HpoKy5xHVvU701ERETl4XOq6JDf2/+vyXExIQRMAcgSANkJ6OOJmnZzTs7pec0iV0ipaLDr6OhAR0dH1ut++tOf4l//9V9T/96zZw/OOOMM3HfffTjuuOMsH+dwOGaEwWKaWrsuyTxgN60kSamadqpa2PmzREREVFnN8ihc0hB0MTNXGEJAlvbXs0vWtOs8CbA4Y3YqLW5C1QG7rTjLxCoa7HI1f/78af/2er0AgCVLlqC3t7cSTQIwWbuu2+VP3WaaM8ukuGU7AkYYzw++h4/MXVHOJhIREVERNMU2w0AcMcwMdokSafsHb6bWtPMuyvq8kiRhNGRAtUmwq7NfIVcTmyeq0YG161K3Y2aws0kKIAEP7KqeQ4KJiIgoR2YcavDN/TthZ86+TZuty7Omnd0mwaZIGAoa0PT087L51NatyWC3cOFCCCGwcuXKirUhWbtOkSQE9AgCehSmENPmyk1hImJqCJsxyJKEZ/a9i/7IeMXaTERERAUIvgdJG0ssr0IMNmjAlIEcIQQgDMCIAGY0cV+ONe0kCWjxKlAtwp0pBMZCRs5NrclgVw32RsbhttnhUuwAJITjGibisWmpOmTGEBcGAAkexQGHbMMeBjsiIqLaoo8DigOQbIAkQZV0KJg8C94UAOIhJMKelJiOhQTEgzk9vSRJaPPPDHemEBgOGIgbuY/Y1cQau2r093MPx4e7lkIIgaih47g//ghCiBlTsc2KB//S9WmsXjwHh3a1wq7wV05ERFRT2j8AtB6Nt7bsRf/gXnzY9p/TJmSFEIkZWlcPcNBF+2+VE6dR5EjeH+6GAwaGggbafEAgbEI3BJqzHKowFVPGLDj3nzSRLEwMAAdOg0uSBLtsQ7PLxVBHRERUq2Q77HYXDMwMWZNr7CRALrxmbTLcDY3HMRRITL92+BVEorlPsHIqtogErBc4Om0MdURERLXMqaYfOctjb0PJMdgVU4aetXoxEBERUW1wqOkHaQ6sYVuo1Jo6E2j3K7DbEmvudIvdsukw2BVRmhJ2KQ4GOyIioppmNUiT6fM/V8lQpxsC7T4FDlVObagYC3NXbFWRJbloFaWJiIioMiwHaYTAbE4GEweEumSh4uSaO5uS+8lVXPhVRKYQaZMyp2GJiIhqX8b18gVOxwoBjE4YMAWmhbokWZLQ7Mk9R3DErois+pTTsERERLXPYbf+PC90NlaLC8QPGKk70NTqG9kw2BWR5Y5YBjsiIqKaZ5Nl2JT00anQ/RNCCLR4rENdvhjsiijdObEA4LTYRUNERES1xWGxZt4qA2Rjt8lQixTqAAa7ouJULBERUX2zCnaFDtnJRU5iDHZFZNWnnIolIiKqD3arIsVlboeVhgx2oWju9WDywalYIiKi+mY1C1ctp080aLAzEcxS7M8soCCN9VQsgx0REVE9sCvFXWNXbA0Z7DxOGYGIdbjTdRNaPL9kJ0SGETsWJyYiIqoLVrNw1TJi15BDSR6nAllJhDsA8Lkng5emmxgNGXDkuUMlU1LPVPeGiIiIaodVPqiSXNeYwQ6YDHNTw52mmxgKGrApEuy23IsBZsPNE0RERPWh2o8IbdhgB0wPd1pcIBYXUBUJfreMmJ5n9s5wuWoxH09ERES1xS5blTspbzusNOQau6l8bgVOVUJUFxACaPMreR3dkVQl/UlEREQlJMnFm9ErhYYPdppuIhafjGWhSAHbYTOo7u4nIiKifMgWwc7qWNFya+ip2OSaOlWR0OZXEIqYCERMuA0BRck3kll0aAGjf0RERFSdFEmynKUTqPyATsOO2B0Y6mRJgs+twO+SMRE1ETfyS95WQb3SHUxERETFo2RITtUwaNeQI3a6biKkTw91ST63grghoOUZ7Kww2BEREdWPTGvsqqFIcUOO2I2F04e6JI9LgZr3VKwFJjsiIqK6oWRYYlUNI3YNGexsGULd1GvyYdWXzHVERET1I1Owq4YaGQ0Z7Jo9mUNdQSyTHaMdERFRvZBl6+jEEbsKKaROXTZW8+qMdURERPXF6rO9CnJdYwa78mK0IyIiagSF1LIr9igfg12RcCaWiIioQRTxs12Li6IWN2awK5ZqGH8lIiKikpMskl0h+UwIgdEJA2aRwh2DXYlxwI6IiKgxFBLN7DYZcUNgOFCccMdgVySciiUiImpshUypyjLQ4lGgZwh3oaiR+/Pl3QKywEp2REREjaDYu2JVVUa7L324C4YNhKJmzs/FYFcsVmfFMtcRERHVF4vP9tlsgrCnCXfBsIFAxITHmXtca8izYkuBeyeIiIhoNhLhDhgKGtg7EgcA+F0yTEPJ+Tk4YldiHLAjIiKqL5a7Yovw3HZVhsM2+fweV35RjcGOiIiIqEoEwwaiuoBTlSBJwHDAyGuKl1OxRERERFUguabO75LhcyvQdBNDQQOhGHfFEhEREdWMA0MdMLmhIm5wxI6IiIioJoQiBsKamBbqkuyqjGY3N08QERERVb24ITARNdOGuiRVzT2uMdgRERERVYhuCHid1qEuXwx2RERERBWiKhI8ruKEOoDBjoiIiKhibEpxK94y2BERERHViYYMdrqe+2G6RERERLWiIYPdWNiAliXczeIcXyIiIqKKqKlg98gjj+C4446Dy+VCS0sLzjnnnIKex6ZIGApahzshBLR4/skuJuIImbHUlybiBbWPiIiIqpsNOlTEUl+KlPvpEKVUMwWK//M//xMXXXQRrrvuOnz4wx9GPB7Hhg0bCnquZo8CXSTCXbsvUfwvyRQCoxMG5ClrGSNGJOPzGaaJTrsPcWN6p7plO7qdzVkfDwAuxZXfD0FERETFFw9lvl8Y0CQXJCk87WYNDpiyL/vjAcDmmUUDszx1yZ65iOLxOL7+9a/j+uuvx4UXXpi6/bDDDivo+SRJQptPwXDAmBbuTCEwHDAQNwS8zsmtx+9E3sn6nN857AMYDs4McHNbvTk9/mjv0fn9EERERFR8I69lvWSPciQCmjbj9oWqP6fHo/NDhbQsJzUxFfv666+jr68PsizjqKOOQnd3Nz7ykY9kHbGLxWIIBALTvpJkSUKbX4G6f1o2ppsYDhjQDYEWjwI5z9+MJEmWX0RERFRHJAlAmq8q+MyviWC3detWAMD3v/99fO9738PDDz+MlpYWnHLKKRgZGbF83Pr169HU1JT6mjdv3rT7k+HOJgNDAQNaXKDdp+R1dAcRERFRtahogrnqqqsyjnRJkoRNmzbBNBObHL773e/iU5/6FFatWoU77rgDkiTh/vvvt3z+tWvXYnx8PPW1a9eucv1oRERERGVX0TV23/zmN3H++ednvGbx4sXYu3cvgOlr6hwOBxYvXoydO3daPtbhcMDhcFjen1pTZwLtfgWBsImhoIEm1/S8u8y1LOvPEjT6EQkHZtze3dqGZa62rI8nIiKiKtC6KvP9po7WXXehSZ65SUI2DgVaTypRw3JT0WDX0dGBjo6OrNetWrUKDocDmzdvxoknnggA0HUd27dvx4IFCwr63slQpxuJ6Ve7KqPNL2E4YGA0ZEzbPJHLjlUVDijCPuN2Oxzc8UpERFQrsu1Y1cbgN/cAkgZTTA4E2SQdmu4p6Y7XXNTErli/34+vfOUrWLduHebNm4cFCxbg+uuvBwCce+65eT+fSBPqgMk1d/vGBLQ4T6cgIiKi9DThQBxq6t9OkUOZkzKoiWAHANdffz1sNhu+9KUvIRKJ4LjjjsNTTz2FlpaWvJ9rLGTA7pge6pJkSUKLNzEtS0RERFRLaibYqaqKG264ATfccMOsn0uLm+holgFJSnvCRNwAZAkYD+VeRTocBXR95l6UiYjASJAnUBAREdUDSY/DLgAhJAhMKW8iSYjH8/vMHw8laufqWU67ynb/VDUT7IopHgeGggaA9MHNFAJCAP/zyjgMMzF1a7fJGWvbhWJATHfPuH1szMBb749Ofm9DQDcEVEWCTcmt3k0hj8nENBPhVpIk2G1STmV3CnlMJkIAWlzk9LudzWOyYX8ksD8msT8msT8S2B+T2B+AWw7go34gbkrQp6yxsysSRoICTzw/avnYA/sjbgiMhQxIkgE5wy8mHNFzbl9DBjtZxrQjw9IRAByqDJsCjE4YmIgaaPFY17iL6YAuz0zUqg1w2hOPCUUMhKImvE4ZHpcy49pMQhEDEwU+dipdNxGIGrApElo8cl4FlFUdGA0ZMMzEdHWhxZfF/mPb4vuLQedTN9BpFzn1Ry7YHwnsj0nsj0nsjwT2xyT2R4JDkgGRCIv7W5X6X1ma/My3MrU/HKoMWTIgSZlzST6/rYYMdpIEyJl+gyZgAlBtib8uOpsTu2XHIybabdKMdXkAoCiAnGYA0KYkniMYNhDWBJo9Cnzu/N9Ydp8NNsVAIGLCppgFPYemmxiPmHCoMtr8Ssa/DtK2waZAtSVO6giEzYKeI7Eb2YQpgM4mW9rfZWa59Uc27I8E9sck9sck9kcC+2MS+2OSFjUhnIksIWFyQEdC4ja7LfPPNbU/ICVGMuUsuSSfXxWPWMjBgcePaXp+GyuC4UQH+l1yQW+oJJ9bgd8lIxAxEQznvv4PSLwph4IGVEUq6A2VZFdltPsU6EZiZ7Epcp/3T1diphDsj0nsj0nsjwT2xyT2xyT2R0Ix+iMYMROhTsq9/QdK9sdExETcKPx50mGwy1GhL4ZITBTlTZlUyJuzWG/KpELenMV6UyYV2h/F+o9kEvsjgf0xif0xif2RwP6YVA/94XPJeU2NWvG5FXhd8v41iMULdwx2ecj3xRCPS4hqKNqbMimfN2ex35RJ+bw5i/2mTMq3P4r9H8kk9kcC+2MS+2MS+yOB/TGp1vvDO4t1igfyOBXIMmCYQCzP0UMrDHZ5yvXFEI9LiBsynHYU9U2ZlMubs1RvyqRc3pylelMm5dofpfqPZBL7I4H9MYn9MYn9kcD+mMT+mGRTJChyotSaVbgz88h8DHYFyPZiSIY6m2LC5Sjum2GqTG/OUr8pkzK9OUv9pkzK1h+lflMmsT8S2B+T2B+T2B8J7I9J7I9JdpsEm5I+3MUNE3oeyyIZ7Ap04IvB2P9LnxrqbLbiLohMJ92bs1xvyqR0b85yvSmTrN6c5XpTJrE/Etgfk9gfk9gfCeyPSeyPSckSa1PDXdwwoeVewg5Ag5Y7KZbki2E4YCAUA4SQYZhS2UJdUvIFF4iY0OICsbgo25syKfHmTBR+HhpPVN2OmyjLmzJpan8MBQ04bCaiuijbmzKJ/ZHA/pjE/pjE/khgf0xif0xyqDIAE3EDME0TQiRLqOT+HA0V7MT+Yd5IJJblusT/BoJxqFnq0QCAKgmEwzoMU0CRBUybCU1L3CeZBkQ8v63lhTL0OEbCicZ3NNkQnCjPm3IqFSbGgomft9mjIBKVEYmWuQ2SwFgojhAAhyrBtNswHixvGwD2R6oN7I8U9sck9sf+NrA/UmqlP3Q5CtEsYJqYNn0sJCAeNzAejOT8/fS4QGT/qRJTc7SmT5Y9ttuAaDSRW0SatYgHkkQuV9WJ3bt3Y968eZVuBhEREVHedu3ahd7e3ozXNFSwM00Te/bsgc/nK/g4k2IJBAKYN28edu3aBb/fX9G2UOmwnxsH+7pxsK8bQzX1sxACwWAQPT09kLMcdNtQU7GyLGdNuuXm9/sr/oKh0mM/Nw72deNgXzeGaunnpqamnK7jrlgiIiKiOsFgR0RERFQnGOwqxOFwYN26dXA4HJVuCpUQ+7lxsK8bB/u6MdRqPzfU5gkiIiKiesYROyIiIqI6wWBHREREVCcY7IiIiIjqBINdmW3fvh0XXnghFi1aBJfLhSVLlmDdunXQkmeQ7fe3v/0NJ510EpxOJ+bNm4ef/OQnFWoxFeqHP/whTjjhBLjdbjQ3N6e9ZufOnTjrrLPgdrvR2dmJb33rW4jH4+VtKM3aL37xCyxcuBBOpxPHHXccXn755Uo3iWbpueeew0c/+lH09PRAkiQ8+OCD0+4XQuDqq69Gd3c3XC4X1qxZg/fee68yjaWCrV+/Hscccwx8Ph86OztxzjnnYPPmzdOuiUajuOyyy9DW1gav14tPfepTGBgYqFCLs2OwK7NNmzbBNE388pe/xNtvv42bbroJt912G/7lX/4ldU0gEMDpp5+OBQsW4LXXXsP111+P73//+7j99tsr2HLKl6ZpOPfcc3HJJZekvd8wDJx11lnQNA1//vOfcdddd+HOO+/E1VdfXeaW0mzcd999uPLKK7Fu3Tq8/vrrOPLII3HGGWdg3759lW4azUIoFMKRRx6JX/ziF2nv/8lPfoKf/vSnuO222/DSSy/B4/HgjDPOQDRa5sNNaVaeffZZXHbZZfjLX/6Cxx9/HLqu4/TTT0coFEpd841vfAP//d//jfvvvx/PPvss9uzZg09+8pMVbHUWgiruJz/5iVi0aFHq37fccotoaWkRsVgsddt3vvMdceihh1aieTRLd9xxh2hqappx+//8z/8IWZZFf39/6rZbb71V+P3+aX1P1e3YY48Vl112WerfhmGInp4esX79+gq2iooJgHjggQdS/zZNU3R1dYnrr78+ddvY2JhwOBzinnvuqUALqVj27dsnAIhnn31WCJHoV1VVxf3335+65p133hEAxIsvvlipZmbEEbsqMD4+jtbW1tS/X3zxRXzoQx+C3W5P3XbGGWdg8+bNGB0drUQTqQRefPFFHH744ZgzZ07qtjPOOAOBQABvv/12BVtGudI0Da+99hrWrFmTuk2WZaxZswYvvvhiBVtGpbRt2zb09/dP6/empiYcd9xx7PcaNz4+DgCpz+TXXnsNuq5P6+ulS5di/vz5VdvXDHYVtmXLFvzsZz/Dl7/85dRt/f390z7sAaT+3d/fX9b2Uemwn2vf0NAQDMNI24/sw/qV7Fv2e30xTRNXXHEFPvjBD2LFihUAEn1tt9tnrJOu5r5msCuSq666CpIkZfzatGnTtMf09fXhzDPPxLnnnouLLrqoQi2nfBTSz0REVP0uu+wybNiwAffee2+lmzIrtko3oF5885vfxPnnn5/xmsWLF6f+/549e3DqqafihBNOmLEpoqura8aOm+S/u7q6itNgKki+/ZxJV1fXjN2T7Ofa0t7eDkVR0r5f2Yf1K9m3AwMD6O7uTt0+MDCAlStXVqhVNBuXX345Hn74YTz33HPo7e1N3d7V1QVN0zA2NjZt1K6a3+MMdkXS0dGBjo6OnK7t6+vDqaeeilWrVuGOO+6ALE8fOD3++OPx3e9+F7quQ1VVAMDjjz+OQw89FC0tLUVvO+Uun37O5vjjj8cPf/hD7Nu3D52dnQAS/ez3+3HYYYcV5XtQadntdqxatQpPPvkkzjnnHACJ6Zwnn3wSl19+eWUbRyWzaNEidHV14cknn0wFuUAggJdeeslyFzxVJyEEvvrVr+KBBx7AM888g0WLFk27f9WqVVBVFU8++SQ+9alPAQA2b96MnTt34vjjj69Ek7Or9O6NRrN7925x0EEHidNOO03s3r1b7N27N/WVNDY2JubMmSO+9KUviQ0bNoh7771XuN1u8ctf/rKCLad87dixQ7zxxhvimmuuEV6vV7zxxhvijTfeEMFgUAghRDweFytWrBCnn366+Otf/yoeffRR0dHRIdauXVvhllM+7r33XuFwOMSdd94pNm7cKC6++GLR3Nw8bbcz1Z5gMJh6zwIQN954o3jjjTfEjh07hBBC/OhHPxLNzc3ioYceEn/729/Exz/+cbFo0SIRiUQq3HLKxyWXXCKamprEM888M+3zOBwOp675yle+IubPny+eeuop8eqrr4rjjz9eHH/88RVsdWYMdmV2xx13CABpv6Z68803xYknnigcDoeYO3eu+NGPflShFlOhzjvvvLT9/PTTT6eu2b59u/jIRz4iXC6XaG9vF9/85jeFruuVazQV5Gc/+5mYP3++sNvt4thjjxV/+ctfKt0kmqWnn3467fv3vPPOE0IkSp787//9v8WcOXOEw+EQp512mti8eXNlG015s/o8vuOOO1LXRCIRcemll4qWlhbhdrvFJz7xiWmDMdVGEkKIMg4QEhEREVGJcFcsERERUZ1gsCMiIiKqEwx2RERERHWCwY6IiIioTjDYEREREdUJBjsiIiKiOsFgR0RERFQnGOyIiIiI6gSDHREREVGdYLAjIiIiqhMMdkRERER1gsGOiKhAg4OD6OrqwnXXXZe67c9//jPsdjuefPLJCraMiBqVJIQQlW4EEVGt+p//+R+cc845+POf/4xDDz0UK1euxMc//nHceOONlW4aETUgBjsiolm67LLL8MQTT2D16tV466238Morr8DhcFS6WUTUgBjsiIhmKRKJYMWKFdi1axdee+01HH744ZVuEhE1KK6xIyKapffffx979uyBaZrYvn17pZtDRA2MI3ZERLOgaRqOPfZYrFy5EoceeihuvvlmvPXWW+js7Kx004ioATHYERHNwre+9S38/ve/x5tvvgmv14uTTz4ZTU1NePjhhyvdNCJqQJyKJSIq0DPPPIObb74Zd999N/x+P2RZxt13343nn38et956a6WbR0QNiCN2RERERHWCI3ZEREREdYLBjoiIiKhOMNgRERER1QkGOyIiIqI6wWBHREREVCcY7IiIiIjqBIMdERERUZ1gsCMiIiKqEwx2RERERHWCwY6IiIioTjDYEREREdUJBjsiIiKiOvH/AXWf+2QoltVQAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "
"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# define a mode source that injects te mode\n",
    "mode_source = td.ModeSource(\n",
    "    center=(-L_2 / 2 - L_t - L_1 - R, -R - l / 10, 0),\n",
    "    size=(4 * w_sc, 0, 4 * h_si),\n",
    "    source_time=td.GaussianPulse(freq0=freq0, fwidth=fwidth),\n",
    "    direction=\"+\",\n",
    "    mode_spec=mode_spec,\n",
    "    mode_index=0,\n",
    "    num_freqs=7,\n",
    ")\n",
    "\n",
    "# define a mode monitor to measure the transmission to cross port\n",
    "mode_monitor_cross = td.ModeMonitor(\n",
    "    center=(L_2 / 2 + L_t + L_1 + R, R + l / 10, 0),\n",
    "    size=(4 * w_sc, 0, 4 * h_si),\n",
    "    freqs=freqs,\n",
    "    mode_spec=mode_spec,\n",
    "    name=\"mode_cross\",\n",
    ")\n",
    "\n",
    "# define a mode monitor to measure the transmission to through port\n",
    "mode_monitor_through = td.ModeMonitor(\n",
    "    center=(L_2 / 2 + L_t + L_1 + R, -R - l / 10, 0),\n",
    "    size=(4 * w_sc, 0, 4 * h_si),\n",
    "    freqs=freqs,\n",
    "    mode_spec=mode_spec,\n",
    "    name=\"mode_through\",\n",
    ")\n",
    "\n",
    "# define a field monitor to visualize mode propagation\n",
    "field_monitor = td.FieldMonitor(size=(td.inf, td.inf, 0), freqs=[freq0], name=\"field\")\n",
    "\n",
    "run_time = 2e-12  # simulation run time\n",
    "\n",
    "# simulation domain size\n",
    "Lx = 2 * L_1 + 2 * L_t + L_2 + 2 * R + l / 4\n",
    "Ly = 2 * R + l / 4\n",
    "Lz = 9 * h_si\n",
    "\n",
    "# define a simulation\n",
    "sim = td.Simulation(\n",
    "    size=(Lx, Ly, Lz),\n",
    "    grid_spec=td.GridSpec.auto(min_steps_per_wvl=15, wavelength=lda0),\n",
    "    structures=bends + [DC_top, DC_bottom],\n",
    "    sources=[mode_source],\n",
    "    monitors=[mode_monitor_cross, mode_monitor_through, field_monitor],\n",
    "    run_time=run_time,\n",
    "    medium=sio2,\n",
    "    symmetry=(0, 0, 1),\n",
    ")\n",
    "\n",
    "ax = sim.plot(z=0)\n",
    "ax.set_aspect(\"auto\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "59aa08eb",
   "metadata": {},
   "source": [
    "Submit the simulation job to the server."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "a62cc71e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "
[11:21:24] Created task 'full_structure' with task_id 'fdve-205e3edd-f153-4dcb-a180-7c090d2b8751v1'.  webapi.py:140\n",
       "
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      ],
      "text/plain": [
       "\u001b[2;36m[11:21:24]\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'full_structure'\u001b[0m with task_id \u001b[32m'fdve-205e3edd-f153-4dcb-a180-7c090d2b8751v1'\u001b[0m.  \u001b]8;id=427147;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=934588;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#140\u001b\\\u001b[2m140\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "
           View task using web UI at                                                                  webapi.py:142\n",
       "           'https://tidy3d.simulation.cloud/workbench?taskId=fdve-205e3edd-f153-4dcb-a180-7c090d2b875              \n",
       "           1v1'.                                                                                                   \n",
       "
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      ],
      "text/plain": [
       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mView task using web UI at                                                                  \u001b]8;id=574325;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=906863;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#142\u001b\\\u001b[2m142\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m           \u001b[0m\u001b]8;id=23966;https://tidy3d.simulation.cloud/workbench?taskId=fdve-205e3edd-f153-4dcb-a180-7c090d2b8751v1\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=804087;https://tidy3d.simulation.cloud/workbench?taskId=fdve-205e3edd-f153-4dcb-a180-7c090d2b8751v1\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=23966;https://tidy3d.simulation.cloud/workbench?taskId=fdve-205e3edd-f153-4dcb-a180-7c090d2b8751v1\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=50682;https://tidy3d.simulation.cloud/workbench?taskId=fdve-205e3edd-f153-4dcb-a180-7c090d2b8751v1\u001b\\\u001b[32mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=23966;https://tidy3d.simulation.cloud/workbench?taskId=fdve-205e3edd-f153-4dcb-a180-7c090d2b8751v1\u001b\\\u001b[32m-205e3edd-f153-4dcb-a180-7c090d2b875\u001b[0m\u001b]8;;\u001b\\ \u001b[2m             \u001b[0m\n",
       "\u001b[2;36m           \u001b[0m\u001b]8;id=23966;https://tidy3d.simulation.cloud/workbench?taskId=fdve-205e3edd-f153-4dcb-a180-7c090d2b8751v1\u001b\\\u001b[32m1v1'\u001b[0m\u001b]8;;\u001b\\.                                                                                      \u001b[2m             \u001b[0m\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "ace46e74372248a1aecf5f10ec43d025",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "
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      ],
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     "metadata": {},
     "output_type": "display_data"
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     "data": {
      "text/html": [
       "
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       "
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      "text/plain": [
       "\n"
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     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "
[11:21:29] status = queued                                                                            webapi.py:272\n",
       "
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      ],
      "text/plain": [
       "\u001b[2;36m[11:21:29]\u001b[0m\u001b[2;36m \u001b[0mstatus = queued                                                                            \u001b]8;id=310003;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=479868;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#272\u001b\\\u001b[2m272\u001b[0m\u001b]8;;\u001b\\\n"
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       "Output()"
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     "metadata": {},
     "output_type": "display_data"
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    {
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       "
[11:21:32] status = preprocess                                                                        webapi.py:266\n",
       "
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      "text/plain": [
       "\u001b[2;36m[11:21:32]\u001b[0m\u001b[2;36m \u001b[0mstatus = preprocess                                                                        \u001b]8;id=279568;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=516544;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#266\u001b\\\u001b[2m266\u001b[0m\u001b]8;;\u001b\\\n"
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    {
     "data": {
      "text/html": [
       "
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    {
     "data": {
      "text/html": [
       "
[11:21:40] Maximum FlexCredit cost: 0.286. Use 'web.real_cost(task_id)' to get the billed FlexCredit  webapi.py:289\n",
       "           cost after a simulation run.                                                                            \n",
       "
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      ],
      "text/plain": [
       "\u001b[2;36m[11:21:40]\u001b[0m\u001b[2;36m \u001b[0mMaximum FlexCredit cost: \u001b[1;36m0.286\u001b[0m. Use \u001b[32m'web.real_cost\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m to get the billed FlexCredit  \u001b]8;id=2152;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=963881;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#289\u001b\\\u001b[2m289\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m           \u001b[0mcost after a simulation run.                                                               \u001b[2m             \u001b[0m\n"
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    {
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       "
           starting up solver                                                                         webapi.py:293\n",
       "
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      ],
      "text/plain": [
       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mstarting up solver                                                                         \u001b]8;id=980649;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=657346;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#293\u001b\\\u001b[2m293\u001b[0m\u001b]8;;\u001b\\\n"
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    {
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       "
           running solver                                                                             webapi.py:303\n",
       "
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      "text/plain": [
       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mrunning solver                                                                             \u001b]8;id=171331;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=304597;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#303\u001b\\\u001b[2m303\u001b[0m\u001b]8;;\u001b\\\n"
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     "metadata": {},
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       "Output()"
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     "metadata": {},
     "output_type": "display_data"
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    {
     "data": {
      "text/html": [
       "
[11:23:14] early shutoff detected, exiting.                                                           webapi.py:317\n",
       "
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      ],
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       "\u001b[2;36m[11:23:14]\u001b[0m\u001b[2;36m \u001b[0mearly shutoff detected, exiting.                                                           \u001b]8;id=422844;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=950117;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#317\u001b\\\u001b[2m317\u001b[0m\u001b]8;;\u001b\\\n"
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      "text/html": [
       "
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       "
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       "
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       "
[11:23:15] status = postprocess                                                                       webapi.py:334\n",
       "
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      ],
      "text/plain": [
       "\u001b[2;36m[11:23:15]\u001b[0m\u001b[2;36m \u001b[0mstatus = postprocess                                                                       \u001b]8;id=759149;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=310014;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#334\u001b\\\u001b[2m334\u001b[0m\u001b]8;;\u001b\\\n"
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       "Output()"
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     "metadata": {},
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    },
    {
     "data": {
      "text/html": [
       "
[11:23:35] status = success                                                                           webapi.py:341\n",
       "
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      ],
      "text/plain": [
       "\u001b[2;36m[11:23:35]\u001b[0m\u001b[2;36m \u001b[0mstatus = success                                                                           \u001b]8;id=682852;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=606635;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#341\u001b\\\u001b[2m341\u001b[0m\u001b]8;;\u001b\\\n"
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      "text/html": [
       "
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     },
     "metadata": {},
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       "Output()"
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      "text/html": [
       "
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     "metadata": {},
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       "
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       "
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    {
     "data": {
      "text/html": [
       "
[11:23:38] loading SimulationData from data/simulation_data.hdf5                                      webapi.py:513\n",
       "
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      ],
      "text/plain": [
       "\u001b[2;36m[11:23:38]\u001b[0m\u001b[2;36m \u001b[0mloading SimulationData from data/simulation_data.hdf5                                      \u001b]8;id=692812;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=949397;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#513\u001b\\\u001b[2m513\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
     "metadata": {},
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   ],
   "source": [
    "job = web.Job(simulation=sim, task_name=\"full_structure\")\n",
    "sim_data = job.run(path=\"data/simulation_data.hdf5\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "373a985c",
   "metadata": {},
   "source": [
    "After the simulation is complete, we plot the splitting ratio and compare it to the ideal case. From the plot, we can see that the designed DC maintains a -3 dB splitting ratio very well across the wavelength range of interest. The bandwidth is larger than 100 nm. As a comparison, [traditional DCs](https://tidy3d.simulation.cloud/workbench?taskId=pa-45ba95c2-3ced-4331-8ea3-01c49041f516) have a much smaller working bandwidth."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "b8731f7d",
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "
"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# calculate transmission to cross port\n",
    "amp_cross = sim_data[\"mode_cross\"].amps.sel(mode_index=0, direction=\"+\")\n",
    "T_cross = np.abs(amp_cross) ** 2\n",
    "\n",
    "# calculate transmission to through port\n",
    "amp_through = sim_data[\"mode_through\"].amps.sel(mode_index=0, direction=\"-\")\n",
    "T_through = np.abs(amp_through) ** 2\n",
    "\n",
    "T_total = T_cross + T_through  # total transmitted power\n",
    "\n",
    "plt.axhline(y=-3, color=\"r\", linestyle=\"--\", linewidth=3, label=\"Ideal\")\n",
    "plt.plot(ldas, 10 * np.log10(T_cross / T_total), linewidth=3, label=\"FDTD\")\n",
    "plt.xlabel(\"$\\lambda (\\mu m)$\")\n",
    "plt.ylabel(\"Transmission to cross port (dB)\")\n",
    "plt.xlim(1.5, 1.6)\n",
    "plt.ylim(-6, 0)\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0b45cb6a",
   "metadata": {},
   "source": [
    "Finally, visualize the power distribution at the central wavelength, which confirms the even splitting of power."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "170af679",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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tgjAu/OUvf7EnnXSSnTFjhi0Wi3bPPfe0S5cutZVKxVpbSwfSLGWItS79x/7772+DILCzZs2yZ5xxht24cWP2/jPPPGM/9rGP2b322suWSiU7depU+5a3vMXecccdWZk777zTvutd77Jz5861hULBzp07137wgx+0f/rTn4bt+0jrVatV+6UvfckedNBBtlgs2ilTptgjjjjCXnTRRbanp6eu7H/+53/aV7/61Vm5o48+2t5+++3Z+6tXr7ZLliyxHR0dFshSgzSmA0n5/ve/n7U3depU+6EPfciuXLmyrszJJ59s29raBp3fZz/7WTuSr6Ff//rX9nWve51taWmxc+fOteeee6699dZbB/Vny5Yt9u/+7u9sd3e3BYZNDXL00UcPmdrjs5/97Fb7tDXiOLZf+MIX7IIFC2yhULAHHXSQ/e53vzuoXJoq5dlnn63bv2HDBnvKKafYadOm2dbWVnv00UcP+Yz+8Ic/tIcddpgtFot23rx59vzzz7fVanW7z0EQhB0PWfJKEARBEARhkiAxboIgCIIgCJMEEW6CIAiCIAiTBBFugiAIgiAIkwQRboIgCIIgCJMEEW6CIAiCIAiTBBFugiAIgiAIk4RdKgGvMYaXXnqJjo6ObV4aRxAEQRB2ZKy1bN68mblz56K12GV2VnYp4fbSSy/tMAtuC4IgCMIrwQsvvMC8efMmuhtYa3nbsUcwb7cZ/H//360T3Z2dhl1KuHV0dCRbGhi9xW3PPffKteV49NFHMSYeooYgCIIgOGbPnsOsWbPq9j3zzDNs3ty7nS1bwAwanyaKW265hUf/9xkeuH8F55zzSLbOsrB97FLCreYeVWyPcPM8r26twVrb4n4VBEEQhkdr/YqOITtCKJAxhs985iw+c/6J/OUva/iXfzmdn/3sgYnu1k7BLiXcBEEQBEF45bnxxhvp6enjtNPeQW9vP/vu8yHuu+8+3vjGN0501yY9Er0oCIIgCMKYEYYhF1zwaS644GSKxQIzZnRz1tl/w7J/WYosj779iHATBEEQhHFG4VyaSqkkeGfi3ZtjxTe/eR5B4PPhE4/L9p199t/wxxXPceutMklhexHhJgiCIAjjhEKhdQHf76a1OI+W4lw8vx3P75zoro0JAwMDfO5z3+Giiz6G79fi+Do72zjvnz/Ev/zLpzDGTGAPJz8i3ARBEARhnFDKp6U4m1mtB3NYcDSH+McwpWUfprXth1KTf0j+f1ecw+zZU3jPe9806L0zzngXa9Zs5L/+678moGc7D5P/KREEQRCESYBCoXSBjsJc9rALefW0EodNbWGO3Yu56gAU3qR2mfb29vKlL97AxZec2jQBcEtLkfPPP5F//dd/JIqiCejhzoEIN0EQBEEYJ5QKKKhWuosB81oi5pQMnaqFLtsBk9zi9n8v+xQHHbwHixcfNWSZj37sr4mimOuu+8w49mznYnI/JYIgCIIwSZm8trXBrFu3jq9dfjOf+9ypw+aRCwKfCy/8KBdffB2VSmUce7jzIMJNEARBEITt4guXLuVNbzqUN7zhkK2Wff8H3kpXVxtXX/NP49CznQ8RboIgCIIwwVgmb36zlStX8u/X/ISLLzllROW11lx8ySlc+oXr2bJlyyvcu52PSSXcXnzxRT784Q8zbdo0WlpaOOSQQ/jd73430d0SBEEQhBGjJtfQu1Uuuuh03vnON3DYYXuPuM7xxy9iz73mcvnXznrlOraTMmmeno0bN/KGN7yBIAj4+c9/zooVK7jsssuYMmXKRHdNEARBELaJyTx7NM9TTz3Fd75zG5+98CPbVE8pxec+dyqX/d8b2bBhw3b14Ytf/CJKKc4666xsX7lcZunSpUybNo329nZOOOEE1qxZU1fv+eefZ8mSJbS2tjJz5kw+/elPD5rtes8993D44YdTLBbZe++9ufbaa7err2PBpBFuX/rSl5g/fz7f/va3ec1rXsPChQs57rjj2GuvvSa6a4IgCIIwIoaytplJ6ir91389nQ9/+Dj23Xf+Ntc95pjDOOqoA/jil84c9fEffPBB/v3f/51DDz20bv/ZZ5/NT3/6U26++WbuvfdeXnrpJd773vdm78dxzJIlS6hWq/zmN7/huuuu49prr+WCCy7Iyjz77LMsWbKEt7zlLTzyyCOcddZZnHrqqRO++sOkEW4/+clPOPLII/mbv/kbZs6cyatf/Wq+8Y1vTHS3BEEQBGGX5A9/+AM/+cmvOf9fTxp1G5/7/KlcecUPWbVq1TbX3bJlCx/60If4xje+Ued96+np4Vvf+hZf/epXeetb38oRRxzBt7/9bX7zm9/wwAMPAHDbbbexYsUKvvvd73LYYYfx9re/nUsuuYQrr7ySarUKwDXXXMPChQu57LLLOOCAAzjzzDN53/vex+WXXz7q8x0LJo1we+aZZ7j66qvZZ599uPXWWznjjDP41Kc+xXXXXTdknUqlQm9vb91LEARBEITt5zOfOYPT/v4dzJ8/c9RtHHnkfixefBSf+9wntrnu0qVLWbJkCccee2zd/oceeogwDOv277///uy+++7cf//9ANx///0ccsghzJo1KyuzePFient7efzxx7MyjW0vXrw4a2Oi8Cf06NuAMYYjjzySL3zhCwC8+tWv5rHHHuOaa67h5JNPblrn0ksv5aKLLhrPbgqCIAjCTs8f//hH7rrr93zzW+dud1sXXfwxjjj84/zrv66mtbW17r1isUixWBxU58Ybb+T3v/89Dz744KD3Vq9eTaFQoLu7u27/rFmzWL16dVYmL9rS99P3hivT29vLwMAALS0t23aiY8SksbjNmTOHAw88sG7fAQccwPPPPz9knWXLltHT05O9XnjhhVe6m4IgCIKw07Np0yamTetkxozu7W7rgAMWEIYRX/7yl+nq6qp7XXrppYPKv/DCC/zDP/wD119/PaVSabuPP9mYNBa3N7zhDTz55JN1+/70pz+xYMGCIesMpdQFQRAEQRgDjNn+NqybmHHmmWdy4YUX1r3VbAx/6KGHWLt2LYcffni2L45jfvnLX3LFFVdw6623Uq1W2bRpU53Vbc2aNcyePRuA2bNn89vf/rau3XTWab5M40zUNWvW0NnZOWHWNphEFrezzz6bBx54gC984Qv8+c9/5oYbbuA//uM/WLp06UR3TRAEQRBGhVKTczZphjFj88KJtM7OzrpXM+H2tre9jUcffZRHHnkkex155JF86EMfyraDIODOO+/M6jz55JM8//zzLFq0CIBFixbx6KOPsnbt2qzM7bffTmdnZ+bdW7RoUV0baZm0jYli0ljcjjrqKH74wx+ybNkyLr74YhYuXMjXvvY1PvShD0101wRBEARBGCc6Ojo4+OCD6/a1tbUxbdq0bP8pp5zCOeecw9SpU+ns7OSTn/wkixYt4nWvex0Axx13HAceeCAnnngiX/7yl1m9ejXnn38+S5cuzcTi6aefzhVXXMG5557Lxz72Me666y5uuukmli9fPr4n3MCkEW4Axx9/PMcff/xEd0MQBEEQtovJvMRVhrVj6iodSy6//HK01pxwwglUKhUWL17MVVddlb3veR633HILZ5xxBosWLaKtrY2TTz6Ziy++OCuzcOFCli9fztlnn83Xv/515s2bxze/+U0WL1485v3dFiaVcBMEQRCEyYyludDRk3UlhbEQXWPQxj333FP3d6lU4sorr+TKK68css6CBQv42c9+Nmy7xxxzDA8//PB2928smTQxboIgCIIgCLs6YnETBEEQBGF07KCu0p0ZEW6CIAiCMI40c5dO2kXnRbiNO+IqFQRBEIQJRCmFmqS6TRh/xOImCIIgCOPMTmNkEovbuCPCTRAEQRDGkWauUjerdJI5wXbgdCA7M5PsKREEQRAEQdh1EYubIAiCIIwT1ja3tk1aK4pY3MYdEW6CIAiCMI6YIZLwTkZUEyG6zYhw2yZEuAmCIAjCBCPpQISRMmmts4IgCIIw2bF2kgo2YcIQi5sgCIIgjDM7Td42s2OsVborIcJNEARBECYQg8UyCcWLpAOZEMRVKgiCIAjjiJahV9gOxOI2Rqidxu4tCIIgvJJ4KqibjGBts5S8kwSxuI07ItzGCBFugiAIwohQg4VKk12TA0kHMu6IvXYU2CYPmQg3QRAEYSSk6XbTkcRiJ69wE8YdsbiNAtPENCzCTRAEQRgJStVWSkj1mpmsVidxlY47ItxGgVjcBEEQhNHSOFwYIJ6s4kXSgYw7ItxGgQg3QRAEYbQopVAKFE73WCA2BibbFAVJBzIhSIzbKBDhJgiCIIwWreuHXmstVRtOUG+EyYZY3EaBCDdBEARhNCil0drD1wqtwFhFjKFXbZ7oro0OsbiNOyLcRoEIN0EQBGG0pG5SlayXYLFUTGWiuzUqlAi3cUdcpaOgmXBrNH0LgiAIQiMKjVaeE2+53/vGxhPXKWFSIRa3USAWN0EQBGG0KFWzmqT2qkkr3MbCWiYWt21ChNsoEOEmCIIgjBat6odegyVmkgo3cZWOO+LfGwWSgFcQBEEYDUrpzEVqbW71BNEuwggRi9soEIubIAiCMFo8PHTDkNFsXNnhkTxuE4IIt1Egwk0QBEEYHRpP+WjAoohtOrd0kiIrJ4w7ItxGgQg3QRAEYZtRyuVxUxqtXTqQ5H8MMdhJtnICiMVtApAYt1Egwk0QBEEYDUolFrdkyDC4GaWxrJwgjBCxuI0CEW6CIAjCaHB53HQ2+BoLxhrsZFunNEUsbuOOCLdRIAl4BUEQhNGglMbHx9Mun1tsISImojI5Y90kj9u4I2pjFDQTbp7nTUBPBEEQhMmDxtNFAs/HS5w0sYXYRuIqFUaMWNxGQbM8biLcBEEQhK3RUuikZIsUtDM0hQb67RYqce9Ed23bkXQgE4JY3EZBHA/OcO37ooEFQRCEoVEoAr+ApzRauXQg1kJsDLGp4NZQmGQixgXpbf9rG7j66qs59NBD6ezspLOzk0WLFvHzn/88e/+YY45BKVX3Ov300+vaeP7551myZAmtra3MnDmTT3/600RRVFfmnnvu4fDDD6dYLLL33ntz7bXXjvoyjSWiNkZBM+EmFjdBEARhaxT8Ih7OamIsxIANLbGNtlJTSJk3bx5f/OIX2WeffbDWct111/Gud72Lhx9+mIMOOgiAj3/841x88cVZndbW1mw7jmOWLFnC7Nmz+c1vfsOqVas46aSTCIKAL3zhCwA8++yzLFmyhNNPP53rr7+eO++8k1NPPZU5c+awePHi8T3hBkS4jYJGVQ4i3ARBEIStoDQthU60cs4uS2JwisFO1kXmJ8BV+o53vKPu789//vNcffXVPPDAA5lwa21tZfbs2U3r33bbbaxYsYI77riDWbNmcdhhh3HJJZdw3nnnceGFF1IoFLjmmmtYuHAhl112GQAHHHAA9913H5dffvmECzdxlY4CcZUKgiAI246mW8/CVxqtrHOTWgjiEmayWtyMGZsXUKlU6O3trXtVKpVhDx/HMTfeeCN9fX0sWrQo23/99dczffp0Dj74YJYtW0Z/f3/23v33388hhxzCrFmzsn2LFy+mt7eXxx9/PCtz7LHH1h1r8eLF3H///dt9ybYXEW6jQCYnCIIgCNuKUpqSbiHQCqVc8t3IgA59J9wmW5B+ZjIcmxi3K664gq6urrrXpZde2vTQjz76KO3t7RSLRU4//XR++MMfcuCBBwLwd3/3d3z3u9/l7rvvZtmyZXznO9/hwx/+cFZ39erVdaINyP5evXr1sGV6e3sZGBgYk8s3WsRMNEqiKKqzsolwEwRBEIbHQweKoqcpKIuxitBYumwLxlQnunMTzplnnsmFF15Yt69YLDYtu99++/HII4/Q09PDD37wA04++WTuvfdeDjzwQE477bSs3CGHHMKcOXN429vextNPP81ee+31Sp7CuCDCbZTEcTzIPep5XlM3qiAIgiBo5RN5VXwFvraZxY3YYifjOqUwNuurJpbGYrFIZ2fniKoUCgX23ntvAI444ggefPBBvv71r/Pv//7vg8q+9rWvBeDPf/4ze+21F7Nnz+a3v/1tXZk1a9YAZHFxs2fPzvbly3R2dtLS0rINJzf2iKt0lMjMUkEQBGFbUEqjfEvgKfycxa0vDCfpkldj5CbdxnQgzTDGDBkP98gjjwAwZ84cABYtWsSjjz7K2rVrszK33347nZ2dmbt10aJF3HnnnXXt3H777XVxdBOFWNxGSbOZpb7vU62KuVsQBEGoR6EATawr+Aq8dLkra3nZbJy8FrcJYNmyZbz97W9n9913Z/Pmzdxwww3cc8893HrrrTz99NPccMMN/PVf/zXTpk3jf//3fzn77LN585vfzKGHHgrAcccdx4EHHsiJJ57Il7/8ZVavXs3555/P0qVLM9fs6aefzhVXXMG5557Lxz72Me666y5uuukmli9fPpGnDohwGzVicRMEQRC2BaU0eIZAO+EWWUVkDT1mIy6j2yRkAtKBrF27lpNOOolVq1bR1dXFoYceyq233spf/dVf8cILL3DHHXfwta99jb6+PubPn88JJ5zA+eefn9X3PI9bbrmFM844g0WLFtHW1sbJJ59cl/dt4cKFLF++nLPPPpuvf/3rzJs3j29+85sTngoERLiNGsnlJgiCIGwLWvl4vkIn65RGVmGspRxtwdpJuGoCjImbc1uF27e+9a0h35s/fz733nvvVttYsGABP/vZz4Ytc8wxx/Dwww9vU9/Gg0kb4/bFL34RpRRnnXXWhBxfcrkJgiAI20Lgt1Hy2ilqUFgqMVRMTH/UC5Myxk2YCCal0njwwQf593//98xfPRGIq1QQBEHYFnxdoKRb8ROTSWQhtDHlcMvEdmy0WGSR+Qlg0lnctmzZwoc+9CG+8Y1vMGXKlAnrh7hKBUEQhBGjFJ4qEvgF/NRVaiA0EbGtjE1ajYlgB5lVuisx6YTb0qVLWbJkyaClKMYbcZUKgiAI20LRb8fHyyxubp1SizGTdLkrrBOcY/ESRsykUho33ngjv//973nwwQdHVL5SqdTldent7R2zvohwEwRBEEaOprswG98G+MqiVOIqjSJiG03OiQnChDBpLG4vvPAC//AP/8D1119PqVQaUZ1LL720bs2z+fPnj1l/mrlKC4XCmLUvCIIg7DwoFFP96RRtgUA5kRYbqJgQY8MJ7t12IK7ScWfSCLeHHnqItWvXcvjhh+P7Pr7vc++99/Jv//Zv+L7f1AK2bNkyenp6stcLL7wwZv1pdrwgCMasfUEQBGHnQKFAaQp+QEH5+NoJlaqFPrN5ErtKEeE2AUwa397b3vY2Hn300bp9H/3oR9l///0577zzmk4MKBaLQy5Qu700s7iJcBMEQRCaoVSRgVIv7Z5PUVsioxiILP3xZmJTRtKBCCNl0gi3jo4ODj744Lp9bW1tTJs2bdD+8cAYg7UWpVTd/kKhIMteCYIgCHUopcEPKXgahcFYCI0hiFoxdpJa3CQdyIQwaYTbjki1Wh1k0QuCQISbIAiCUEMptPIpFAoEybIJVauoGotXKbh1SiereJmAlRN2dSa1cLvnnnsm9PhhGA4SboVCgb6+vgnqkSAIgrAjopRPZ2EaBc8teRUZRWhiitUCdjJPThDGnUkt3CaaZpY1mVkqCIIgNOLpAkW/QCGJromtIrSGSjVkUse3icVt3BHhth2IcBMEQRC2jibwWyl5RYJkHl3VKio2ZEO8ESbrAvMgMW4TgAi37aCZcJOZpYIgCEIehaK7dRbttNLug1Zugfk++ngpemryijbs2IguEW7bxKTJ47YjEoaD4xLE4iYIgiDUoTTdpdkEShMko25ooCfcSNVsYVK7SoVxRyxu24G4SgVBEISto2n3uyhqTUFbrHXCzUSWKB6Y6M6NHovEuE0AIty2g2bCzfd9lFJYeRAFQRAEQKmAoODja4WvLLFVVAx4lRKRqWy9gR0ZEW7jjrhKt4M4jjFNAjMlzk0QBEFI0crHFkKKWuMni8tXDfiVArGpinARtgmxuG0nQ+VykyS8giAIgkKhdQH8kKKv8LUhNJpqbGkNg8m7akKKzCodd0S4bSfNVk+QODdBEAQBAKVoCabgFzSdPgTKsin22BJGrIk2JeuUTmLEVTruiKt0O5GUIIIgCMJwBF4bncE0Ch5oBdUYQmN5OVrrlrsShG1ALG7bSTPh1miBEwRBEHZVNB3BDIpeCyUPFJaqgYqN6a1sAOKJ7uDokVmlE4IIt+2kWS63Uqk0AT0RBEEQdjQUiumluRRtkYK2KOVSgVRMSH+0CWujSZyAFxFuE4AIt+2kmcVNhJsgCIKgUKB8vKKiZIsEygmUioFKNSQy/RPcw+3HjoFwk/RZ24bEuG0nQ+Vy8zxvAnojCIIg7EgoFeC1xrTqIEu+GxnoC/sJ4zJIjJuwjYhw206GSvvR0tIyzj0RBEEQdiiUQisfVYgpehqtLBZFJbb0hpuITWVyu0nTtUrH4iWMGHGVbifGGIwxaF2vgUulElu2bJmgXgmCIAgTj6YYdDO9NJfuooevIvpjxeYwRkU+UdzPpF+nVGLcxh2xuI0BlcrgJUskzk0QBGHXRqEoBV10BO20ZKlANBVjKA60TP7ku8KEIBa3MWBgYGCQa1RcpYIgCLs4StPdNpMWW6KUhD1XrKJsIlRFYW04ua1Nkg5kQhDhNgaUy4MzX4vFTRAEYddGKZ8ZpXmUtE9LItyqMZRVhdXl9TtH8l0RbuOOuErHgGbCLQgCmVkqCIKwC6NUQKHFp8XzKHoWY10qkM3hFl7mJRBXqTAKxOI2BgwMDDTdXyqV6OvrG+feCIIgCBONQqFVAa9kafE0Je2EWzmGzZVe+szL2OS/SY1Y3MYdEW5jQKVSwVqLUqpuvwg3QRCEXRSlaC1Mwy8quouKVi+mP9Zsqli6+qeypbKKST+jFEnAOxGIcBsjKpXKoLg2iXMTBEHYdSn53XQWp1DywFOW0CgGYoMpQxSXdw5Lk1jcxh2JcRsjmrlLZWapIAjCronCY3brnhRtC0UNSkHZKCqxYX3FrVEqCKNBhNsYITNLBUEQBEjXKNWUikVabQsFzxmVyjGUTcRLlb9g7OD8n5OONB3IWLy2gauvvppDDz2Uzs5OOjs7WbRoET//+c+z98vlMkuXLmXatGm0t7dzwgknsGbNmro2nn/+eZYsWUJrayszZ87k05/+NFFUL6bvueceDj/8cIrFInvvvTfXXnvtaK/UmCLCbYxoJtwKhcKgFRUEQRCEnR+linit0KICStpgUQzE0Bv20xe/jLVm8k9MgAkRbvPmzeOLX/wiDz30EL/73e9461vfyrve9S4ef/xxAM4++2x++tOfcvPNN3Pvvffy0ksv8d73vjerH8cxS5YsoVqt8pvf/IbrrruOa6+9lgsuuCAr8+yzz7JkyRLe8pa38Mgjj3DWWWdx6qmncuutt47NddsOJMZtjBhuZml/f/8490YQBEGYMJTC0wV0IaLV9ykmM0orMfRV+ilHm9gZJiZMFO94xzvq/v785z/P1VdfzQMPPMC8efP41re+xQ033MBb3/pWAL797W9zwAEH8MADD/C6172O2267jRUrVnDHHXcwa9YsDjvsMC655BLOO+88LrzwQgqFAtdccw0LFy7ksssuA+CAAw7gvvvu4/LLL2fx4sXjfs55xBw0RjRb9gqgra1tnHsiCIIgTCRKBbSX5jCjdS4zWzxafUPZKDZVDGElZiDciLXxRHdzDBjbReYrlQq9vb11r6HG1pQ4jrnxxhvp6+tj0aJFPPTQQ4RhyLHHHpuV2X///dl99925//77Abj//vs55JBDmDVrVlZm8eLF9Pb2Zla7+++/v66NtEzaxkQiwm2MsNY2fcBEuAmCIOw6KBRK+XSV5tDtd9Pm188oDfoDjKmys1jcrBmbF8AVV1xBV1dX3evSSy9tetxHH32U9vZ2isUip59+Oj/84Q858MADWb16NYVCge7u7rrys2bNYvXq1QCsXr26TrSl76fvDVemt7d3SA/beCGu0jFkYGCAYrFYt0+EmyAIwq6FVkXmt+1DmyrQ4oECqsatUaqryOLyQ3DmmWdy4YUX1u1rHFNT9ttvPx555BF6enr4wQ9+wMknn8y99947Dr2ceES4jSHNJigUi0V83x80W0UQBEHYOfG8Ei1tBdr8gJJnMVZRjhVlG7JhYMvkX1w+zxjmcSsWi3R2do6oSqFQYO+99wbgiCOO4MEHH+TrX/8673//+6lWq2zatKnO6rZmzRpmz54NwOzZs/ntb39b11466zRfpnEm6po1a+js7JzwVF/iKh1Dmgk3EKubIAjCLoNSBF4bqi2i1dcEyhJZN6N0IC6zkud2nhxuE5QOpBnGGCqVCkcccQRBEHDnnXdm7z355JM8//zzLFq0CIBFixbx6KOPsnbt2qzM7bffTmdnJwceeGBWJt9GWiZtYyIRi9sYMpTfu62tjZ6ennHujSAIgjD+aFqCqRRbA1p9RUEbqgYGYthQeZk+s74W1LUTMBansq3Gx2XLlvH2t7+d3Xffnc2bN3PDDTdwzz33cOutt9LV1cUpp5zCOeecw9SpU+ns7OSTn/wkixYt4nWvex0Axx13HAceeCAnnngiX/7yl1m9ejXnn38+S5cuzVyzp59+OldccQXnnnsuH/vYx7jrrru46aabWL58+faf8HYiwm0MGcri1t7ePs49EQRBEMYbNzEhYEH7gUwzM5lWhIK2bAg9NpQNQbmVnvILWOKdI4fbBLF27VpOOukkVq1aRVdXF4ceeii33norf/VXfwXA5ZdfjtaaE044gUqlwuLFi7nqqquy+p7nccstt3DGGWewaNEi2traOPnkk7n44ouzMgsXLmT58uWcffbZfP3rX2fevHl885vfnPBUICDCbUyx1lIulwetmNDa2jpBPRIEQRDGE62L6DZDmyrQ6ls8ZRmIFANxjOpTO88apSkTsFbpt771rWHfL5VKXHnllVx55ZVDllmwYAE/+9nPhm3nmGOO4eGHH96mvo0HEuM2xvT19Q3ap7We8GBGQRAE4RVGKTxdImixtPkBLdqilHOT9schzw+sxNjqRPdybDFj9BJGjAi3MWbLli1N98sEBUEQhJ0dTeC1MrVtBm2+puQZrIWBCLaYftaUn8GYnWCNUmFCEVfpGNPM4gYuzm39+vXj3BtBEARhvFDKo6NlBp1BF22+ItCWyCj6IsuGgU0MhBuAnWSNUnALJ4yBq9TuTK7jcUCE2xhTLpeJ4xjP8+r2i8VNEARh5yVdMWFO59602hbaAvCVZcBqBiJDf3+ZSrR5J1nqKsdYuDlFt20T4ip9BWi2qHyxWBwk5gRBEISdB0+30NnWQZt2KyYADESaLVGEv7lEbMpIQJewvYhwewUYKs5N0oIIgiDspCiPjtI8bOsAM1sCugJDOdasryrWqo2sGVhDFG/euWaUgrOWjcVLGDHiKn0FGCrOTRLxCoIg7Hw4N6nHlGAB01pm0h5AQRvKRtEXwqbKy6yPn9+pEu9Corkkxm3cEYvbK8BQwm2ka7AJgiAIkwilUKrItLaZtKsu2n0oaKjGmr7IwpYC/eE6bPLfToWkAxl3RLi9AsRx3HQVhdbWVnxfjJyCIAg7G54uUexSdNBKm2/RyjJgFH2RQW8pUIk2IwpFGAtEuL1CDGV16+rqGueeCIIgCK8kCo/Ab6XUoejwA9o8g4ZkYfmYgf6qm5iws7kErfP+jsVLGDki3F4hxF0qCIKwi6B8utvm0F2cQUegKWiLwQm3LVGV56pPEpudbMWEFHGVjjsi3F4hhppZKsJNEARh50GhKART2LP7VcxhOjNbFAVt6Y8068uGFwdeZH3lKawZ2Pni24QJQQKuXiHK5TLGGLSu18ae59He3j6ksBMEQRAmEUpR8rvwOyM6fJ82j8TapukLY2yfRxj37bSibSzcnDubB/mVZtJY3C699FKOOuooOjo6mDlzJu9+97t58sknJ7pbwyJxboIgCDs3Co/O4m50dHTQXnDrk0ZG0R8r+uMQtmjieCdOvCuu0nFn0gi3e++9l6VLl/LAAw9w++23E4Yhxx133JDiaEdAhJsgCMLOi0KB8pnWMZMOuunwoeRZQqvYEkKfGqC/r4KxsrC8MHZMGlfpL37xi7q/r732WmbOnMlDDz3Em9/85gnq1fAM5Q4tlUoUCgWq1Z00WFUQBGFXQCm0LtLaUaDNttIRQFFbekLNlgg2VjeykqexNtpp/YFjcVo76aV5xZg0wq2RdAWCqVOnDlmmUqlQqdR+6fT29r7i/cqzefNmrLUopQa919nZyfr168e1P4IgCMJYogm8dlo7Azq8Iq2exVeWcqzZEhn6Ng+wOV698+a7sBLjNhFMGldpHmMMZ511Fm94wxs4+OCDhyx36aWX0tXVlb3mz58/jr10y3hs3ry56XviLhUEQZi8KBSe186eU1/PnGABs1p8uoIYA6yrwOryAHGPR+/ASizxTjs5QWLcxp9JKdyWLl3KY489xo033jhsuWXLltHT05O9XnjhhXHqYY2h1ibt6OhoaokTBEEQJgFK4XutdHS20oFzk3rKEhpFXwRbbB9Pb35050y8K0wok85VeuaZZ3LLLbfwy1/+knnz5g1btlgsUiwWx6lnzenp6Wlq6dNa09HRMe7uW0EQBGH7UM7eRmthGoUOQ1cQ0OaDUlCONFuqMWv71rIlXIPdyScmiKt0/Jk0FjdrLWeeeSY//OEPueuuu1i4cOFEd2lEVKvVuji7PN3d3ePbGUEQBGH7UQqlC8ws7UtXWzedBY9232CsYkus2RyFqE0lylEP1u7EblKc6BqLlzByJo1wW7p0Kd/97ne54YYb6OjoYPXq1axevZqBgYGJ7tpWGcpdOmXKFHGXCoIgTDo0nm5hWvcUOtQUugJo8QxVA30RbLZlVO9Onr9NmDAmjXC7+uqr6enp4ZhjjmHOnDnZ6/vf//5Ed22rDCXcPM8Tq5sgCMIkQymPwG+nZaqmy3TSlaQBKceazVXYUN3IqniNy9+2s5uTjBqblzBiJk2Mm53ED//mzZubLn8FMG3aNDZu3DgBvRIEQRC2FYVCqSIzOhfQ2dpFly7Q5ht8bRkwms2hpa+3zMv2Ly5/286MpAOZECaNxW2yM9QkhM7OToIgGOfeCIIgCKNCeXSUdmP+jH3YzcxhtzaPziAmMoq1ZVhdLlPc1MqGgT9jbbhTx7cJE4MIt3FiKHcpOKubIAiCsGPjrG0eUwoL6egu0REEdPhuIC0bTV9o6TV9/Kn8RBLftvNjrRqTlzByRLiNE8Ol/RDhJgiCMAlQCq1bmNE5k05/Kt0Fj1bfElsYiDR9oWH95pfZFL2wS8S3WZyrdCxewsgR4TZOhGE45AzYYrFIW1vbOPdIEARBGClp7rbAa6dtmk+X6aS7AG2ecUl3Y8WWKEJtKjIQbtj549sSRLiNPyLcxpHh3KXTp08fx54IgiAI20SSu62rbQ7dnd10+QU6A0tBWypGszmELbaC2gJh1L/T528TJg4RbuPIcMJNcroJgiDsmKTWNk+3sc/0V9Nhu+kqeHT4hoK29MeK3hBeLm9ktVnnlrnaRfK3SYzb+CPCbRzp6+sjipqbz7XWTJkyZZx7JAiCIAyHQoHy8P0udms/kmBqyLygi7mtys0mtYo1ZcVL/WXUJo9nqw9gzcBOH98GJOlA1Ji8hJEjwm2cGS5nm0xSEARB2PFQKAp+J7Nb5zO9NIfugkeb74RZxSh6q5bNtsyGjZvdMlfiIhVeQUS4jTMvv/zykO91dHRQLBbHsTeCIAjCsCiF0i10FufROtWn20yhq+CWuIqsYkuk2RzGrOlfy7PRimyZq11FvMlapeOPCLdxpr+/f9j1VefMmTOOvREEQRCGIo1t871WdivsS/fUdqYGJboCmyxxpegNFT1RlfhlzebqS7tEGpA8EuM2/ohwmwCGs7pNnTpVrG6CIAg7CEoXaC1Mo3NWgW47lalFj87A4CtLf+TRW4UeetGbPAbCjVhTnegu7/RceumlHHXUUXR0dDBz5kze/e538+STT9aVOeaYY1BK1b1OP/30ujLPP/88S5YsobW1lZkzZ/LpT396UBz6Pffcw+GHH06xWGTvvffm2muvfaVPb6uIcJsANmzYMOzaq2J1EwRBmFiySQleB3PaDqB7agfdXkuWuw2gL1ZsCg3rNq7nafVnYlPGJv/tGozNxIRtnZxw7733snTpUh544AFuv/12wjDkuOOOo6+vr67cxz/+cVatWpW9vvzlL2fvxXHMkiVLqFar/OY3v+G6667j2muv5YILLsjKPPvssyxZsoS3vOUtPPLII5x11lmceuqp3Hrrrdt32baTSbPI/M5EFEX09vbS1dXV9P2pU6eyatUqKpXKOPdMEARBAJJVElqZ3/5aps/qYnc1l93bfWaXDAUds6Ea8GI/vFjuI3i5lRf7HyKOt4CNJ7rn48pYeIW3tY1f/OIXdX9fe+21zJw5k4ceeog3v/nN2f7W1lZmz57dtI3bbruNFStWcMcddzBr1iwOO+wwLrnkEs477zwuvPBCCoUC11xzDQsXLuSyyy4D4IADDuC+++7j8ssvZ/HixdvW6TFELG4TxPr164d9X6xugiAIE4NbkzQg8Nvp8qcxe8psugs+XQGUPENoNX2xZnM1ZkO0kScGHiWMtrCr5G7LsyPEuKU5UqdOnVq3//rrr2f69OkcfPDBLFu2jP7+/uy9+++/n0MOOYRZs2Zl+xYvXkxvby+PP/54VubYY4+ta3Px4sXcf//929Xf7UUsbhNET08PURTh+81vgVjdBEEQxh/nIlUoVaStMJPSTEO37WZKSdHhWzwF5VizJVJsjkLKL8f0hCuzSQm7jpt07KlUKoPW9S4Wi8PGfRtjOOuss3jDG97AwQcfnO3/u7/7OxYsWMDcuXP53//9X8477zyefPJJ/vu//xuA1atX14k2IPt79erVw5bp7e1lYGCAlpaW0Z/sdiDCbQLZsGEDM2fOHPL92bNn85e//GUceyQIgiAoPAK/nXktBzF32ly6vSLdAbT6zg26OfTYVIVeBrAvs8tOSrCAGYPkuamr9IorruDyyy+ve++zn/0sF1544ZB1ly5dymOPPcZ9991Xt/+0007Ltg855BDmzJnD2972Np5++mn22muv7e7zRCKu0glka+7SqVOnUigUxqk3giAIAspD6QLtxdlMmdVOp+3KlrcqeZbYQm+k6Kla1m/ZwMr4JaK4fxeblJAwRjncUuF25pln0tPTU/datmzZkIc/88wzueWWW7j77ruZN2/esF197WtfC8Cf//xnwBlG1qxZU1cm/TuNixuqTGdn54RZ20CE24RSLpfrfO6NKKUk1k0QBGGccLFtbk3S+aVDaZkK3V4LnQVFu+9SgFSMoieEzWGEXl9grfkzxlTYFePbxppisUhnZ2fdq5mb1FrLmWeeyQ9/+EPuuusuFi5cuNW2H3nkEaAWP75o0SIeffRR1q5dm5W5/fbb6ezs5MADD8zK3HnnnXXt3H777SxatGi0pzgmiHCbYIbL6QbO6lYqlcapN4IgCLsmTrT5FIMZLOx4M62zIna3+7BHh8/ckqXkGapGs77isbIv4vloDY9tfphN/U9jbbhLJd3NMxGTE5YuXcp3v/tdbrjhBjo6Oli9ejWrV6/Okts//fTTXHLJJTz00EM899xz/OQnP+Gkk07izW9+M4ceeigAxx13HAceeCAnnngif/jDH7j11ls5//zzWbp0aSYWTz/9dJ555hnOPfdcnnjiCa666ipuuukmzj777LG9iNuICLcJZms53ZRS7LHHHuPXIUEQhF0R5aF0Cx2l3ehsb2ePqfswrVBkSgFafLe8VV+k6Q2hN6qwcWMPm6ovEJsBdqUlrhqZCOF29dVX09PTwzHHHMOcOXOy1/e//30ACoUCd9xxB8cddxz7778///iP/8gJJ5zAT3/606wNz/O45ZZb8DyPRYsW8eEPf5iTTjqJiy++OCuzcOFCli9fzu23386rXvUqLrvsMr75zW9OaCoQkMkJE04cx7z88stMnz59yDJpLpp0posgCIIwdqQu0sBvZ7a/D93zArrpcKsk+IZAJctbRZqeqmWL3kJlHfRXX8baaJe1tk0Uwxk7AObPn8+999671XYWLFjAz372s2HLHHPMMTz88MPb1L9XGrG47QCsWrVqqw/inDlzxGUqCIIwxqQrJHi6jfbibDrnBswozGVqocDUIrT5Bq2gL/LYUIWNlYiejX08X/2Tm5Rg413W2gZgrBqTlzByRLjtAIRhuNVYN3GZCoIgjC21nG0exaCbBVMOYta0GXTbLqYUNZ2+paBNNpN0Y9my0fSxZVWV3upKrJVJCROx5NWujgi3HYTVq1dv1erW2toqs0wFQRDGgJpoC/B0GzNb92PmvE66zFSmBgW6C9DqO1FWjjWbqrCpGvGX3ud4Pvxz4iaNd3k36VimAxFGhgi3HYRqtbpVqxu4vDITmT9GEARhspOJNjy0bqFUmMZuu82mLehgitfK1JKztgXKEllFf6zYVDVsNH30r7ZsrD5LbPrYlSclCBOHCLcdiJFY3cRlKgiCMDrcJAQNykPrdgqFGcxuP4x9Zr6G3abOZ4Gay54dPnu0GaYUYoyFtRWflf2KleUtbOjp4aXKM2wuv4gxA1i7i7tJkRi3iUCE2w5EtVplw4YNWy3X0tLC/Pnzx6FHgiAIOweplQ00Whcp+J10FOcytTiX6bu1Ms12M7Xo0VWAdt+gsJSNZlNVsali6NWbGFgdsqnyvIttE/8esGMsMr+rIcJtB2MkM0wBZsyYwW677TYOPRIEQZjcNIo2T7fRUdqNPYuHM2uvNmb485hWLDCloGjzDCXPEFtFX6zpqUJPWCXaqHmy+iiVsMfFtgnCBCF53HYwUqvbtGnTtlp21qxZGGNYtWrVOPRM2JlR1P/ilbgdYWchH8+G8vF0G23FGexZeDVd+8C0wiym08X0kqa7CK2eQQFlo9gSwqZKTA/9VFdHbKo+72LbdvEUIBlj5OYU4+W2IcJtB2TVqlUjEm7g8rtZayU5rzAqGgVbs/1DDVBD1d1avW3ty9baHElfhV2TvGhTuoCnW2gvzWJB6Qim7OPTUehmiu1iWilgegG6/BitIDRulYRNVdgUhazuXc1T1WcoVzdiTXWiT2uHYizcnCLctg0Rbjsg6QzTkYq3uXPnYq1lzZo1r3DPhJ2BOoGk0u3GqIla0LUa6ktVDfOFbe2IhNiQ5NvOfatvrc3RijiFEtE3DqT3Z7TXeiSW4cbnOxVtvtdBMehiYeko5u09jZZCC12mk2mlAlOKiq4gptU3REYxEGt6QkVv1dDLFvRLLWwK/0JsytjkP0GYKES47aC89NJLdHd343neiMrvtttuWGtZu3btK9wzYaSM1oI00rrbTE6kOUuERikf8FBKo9DYRLC52XKx+1fB4CSj2s3OAyB9RuNa3Xyd4WbeqbxgHCLkdtClSNvTDX+7Y7lratw5JqIvvc7NRSuD34ORmwGGE7Bj2c62tLe9bY20/nDtDNNG0+d7RG3knxHTpJ3a+0p5KFWkGHTTVpjJ7vpVdOh2gr3KdBe6meN1Mr3NY2YJugJDZxBjgXWhz8sVxbObI1bHvYQvG/5Q+U0yk7QfJL6tjrGYVysyeNsQ4baDEoYhL7zwwjal/pg3bx7FYpEXX3wRY3btaeqj5RURTKM93rYOnsNSE2tOdAUopfF0Ca18tK7/KrDWYGyEMRFg6tIeqKyNvHirkdZJ27EN9evbAZUMtrW2hpszlW9H1/XNHSdMhKJxIk65QTazGjaxMA5pxcl2D/VZat7PQda7prfRDFl/q4zisRjSEjmCtoZ7Rgdfq63UTe9xw/NgsU3bGLI+QDMXXe7Z1KqI77XSWdyNPdSrUB2G0ryIWYXdmabbmVr0mFqE7sBNRrBAJdZsiRQbq/ByNMDmaDNPrH6GzZVVmGQxeaEecZWOPyLcdmA2bNjAlClT6OrqGnGdGTNmMGXKFFauXDmi1CI7Ktvq8hpTwTVmgmmkA/Pwg/hIz62pVQnqBjOlArQq4OkCWvu0BtPxVICviijlLGfWxsSERKbixJsNnZBLBi2dDYxBZqmr9cFk5WMbJQIwTNqtH/TSus4yorN2m4nBTJzl2tDaJzJVjAlRyiOKBzA2wtqI2FRBxWCjRMA1XJvkmqT9qD9Yvp+GzKKY7h+BlXDwHWsc8POW9NEIuPwz02iBTPqQ9NNaU3+Ow+Yeq38Wm92LOraSx2ywVTZ9I92Ih22n/vhe3d+pVTjfvlY+SvkopSkGXbQF09ndP5jWeYop3d202y5meB1MLfp0F5xoa/djLCoRbUlcWyVio7ee+BmftZWnqEa92SoJ4iYVJhoRbjs4f/nLXzjooING7DIF8H2fPfbYgxkzZvD8888zMDDwCvZwbBhOnIxYlI2J4BraEpMyYvfmoEHPWYgG0+zebsPgmR2/GYkoUk6oaeVT9DtoK06jraNIoTWiraOE7wVZjdRKlvwxZJLR4QQWgMm5lNz+1G1p6sQeSVJUJ+RqZ6GUrmuv8bqH1ZhynyXub6PSF9NnXiYy/RgTUY56MCbC2CrWhg3XxsuJxpqAq1FvLWw8t/x519rIM/g+p22l5z34Ggx1n5u31Yzm/RiO5u02Wj6Hev7sIIHbRCQ2iPH8+efbsKmVdBC5url71nhvVPZjwqfgt6FVwExvX7pntjFllk+Xnk6baaPDKzK95DOlAF0FS5tnCLSlHCv6Y01PqNlUNWyKKpiXCzzT9xx91bVEcd8Q/du1SRPwbnc7ooW3CRFuOzhRFG2zyzSlra2NAw44gHXr1rFu3TrK5fLYdzBhuy1e2y260oFhZK6Z5n0Y2YClaG49quHV7WscoPPYhsFgKLfh1sTbYFdmUju1PvgddLZOp72rldZ2RanFCTXfKyZ1cl8FOfdmzQ25lSDw7Hxs1p9scMbUchM2CBgXZ6eyc88LoUaXY+M1L7Z6dLS5siZWhH3dmN4CvVv6WFd9mthUqMZ9xKZaJ0oUGq395N8A3XB/TE5UDGctzPqs6i1BGo1pcA9bG2fnnV4XVSfO65+ZtJ18f4a6DtbGWf18G7qufT2obmMfG89P5+6FVu55scQoPGwS/5jWz7eVP35NkNfEsmsn/2zFiXu9/lzzll3XBx+lvOz6pvcmex9NQbcz09udztYO1G69FAqabmbSbtro9gt0FjymFaErsLR4hoLnnq+qUfSEmp4QeqoR66KXiVdZ1sRPEsX9ieVWrG3NEFfp+CPCbRKwYcMGuru76e7uHlX9GTNmMGPGDIwxDAwM0N/fn72q1e2b2j5YKI0wUHuIoON6V1Zj3SHEV07kDOmaGUS9i8V1STdYUIZ32w3qRoNloZmlYVBbQwg3rWuDUX7wG1y/eaB0OlB2tk2ls6uFYht4vk0GQg+tCygUniqg0Hg54ZaeX0yU7DCYJgOWbrj3JrOo5XJcJbFyabv5gS+919n5JX1QqLpzbTxHi01K5L6+PE0QVLFdZdrwmTtwFOWemNW9K+mrbqwTS54K0Mp3LmKKTsDlhI9JRFZMmIkDdwXqBZfGiQpN7d6kbaVtpP3P13fXwomtfFsKr+45SftkcqLP9SVsuO5mUB8APFWzomo8tNVEqlY3tuGg5y+7nCpw55LU8wjq3je4PhllMMTEqcBN+qmTc/NtgEfaVvKf1UQqyq5JTJj1q9GKlq9fsIXsnhsMsYpQStFd7KLUUsBrVai2mEqhF00VT3VRtG102w46goCpRY92H6YEljY/xlfuW6dqdDKLFDZULJtNmc3PVXnG/om+6lq3tNUQnzMBzBiILhFu24YIt0nC888/T3t7O74/+lumtaatrY22trYx69eQMm2bLGgNLqNRuUbz1oX8/pG5mFVD0HptAN16X+pcZznrUSoo1QiuRZ31pcHqlD/GSNymdSIxcT96qoCvCmg8PFUksEU0msAW3fvWQ1mVxYIBRKlwUxCrOBNqqUDTKAw2+zcVEIaImAiFxqg4E4DGRnUWGydUXJta+XjWPdtucE5dhINnjrrj+Ph4GCye9bDKECknAGIiwvYyhTZD29w5YGfVLkciDlNBXHPtDXW8+gkQteM3d2Xr5HlLr0v+ejWeR+OxNd6ga5OPWzTJdVR42TVNr33tupFdzzS7v1Z+g+UyzsSvsyHVH8+t5+nVtWmIXf+sIlZRdp6ZuCcvRmvPe3pPU+GWj5PMi1mrbHaM9Hie9euEbXpv0vseUk7a9Z21zRbQVlMw0/HQtHoB7QWProKiI3CCregZOn1DoAxbYo+e0GNTqFlfgZf6IzZE/UQvR/yl/Cwv9f+eargxmfAi1jZhx0GE2yQhdZkuXLhworsCDCFnRizWBouP4dI0bC1WpyaMvIa/R1C37v28BUgNfn8Y0dRYfjjx1bx+g2BMBFdqRdGouuMPFyuVd3GlthxflfBtAY1PYAICG+Dh4eOhUWil0MrZIdOrF9l0kFVENk76o7LBV6GIMZlAiZP0DDExRiXbNsYkMzsjYgwRGh+yATwRa8bDS8/V1gZ513vXZt516EprLNbttxDirDiRiqiqMkYZIlUdZOVLxYGyCtRga2heYKRYVRMYWd2Ge5EXF4OpuRRzFXP10q28CGxu0WzsW77faT1lcvGCDXqjTsQpUycy3blpPJta75JnN3e+eXGfb8tg0Lb+mW9sJ+1fzTo79Dml9z7tW/r81X4otANOyGml8JXG15qids9zW6BpD6Ddhzbf0pEk11XKSdVyMhlhYxU2Vgw9UZkN0QZWvdTLy9GfCaMt4iIdAeIqHX9EuE0iNm7cSHd3N1OmTBn3Yw/70Wwq2LYmmIZysQ5lOctTb0UbibVsyHg11TAAN4m5Gq6NxmD6OgGWC7ZXiUBq3on6fteEl87q6NxHNR/P1NiHvCipuad8fOPjWx8PjwI+vlJopfFV6lZzVyvGXUUFhDa1vkBsfJRyx4psTqxZg6c0BktkDR7KOdGsRSlFbA2Rdda6GEOsYjzrESdizrfOGuShM0uKr5wEiXF3WqGIsNl2nJTxlMJa8LT7NzSpFchSNkVnS1IxceLm0tRERSpE6ixnyTmlVqd0O2UocZHWzQuMfDup2M1bJ/PHcO2omthBZ2WVUlhr68RVnBPOjTOJ0zpQ+5SkdsT02qVYwBrb8Bkgqavq9qfXGNxH1Vp379My+fWVlcpdCw1a5c+z1qesH7Z2rRqvS/pcWsh+XGDr6/tK4Wn36fE1FD2Fr6HVg/YAisrS4htafLf+aGQUsVWZaHu5YthUrdKjNxH/xeMFu4L+6stYWxEX6Qgww48OI0J027Yhwm2S8dxzzxEEAe3t7a/ocUb0URyBZWxIt+dW3Zxek33Nj5UXaqrBPTkotmwotyaDrWSN7smh2hokzlIxhD/I8lXrc3PxlbqaUrdUKr7y1hhtFcpqrDIoWy88GsWJl/QpUD6eAq00gXbyzksGPGtB62RgNzbb9oxJhADEymYDcGRrVyK2NXGROroiC8a68sZaIqvRShNaN0kh3Q9u0HUJNxS+1q4vSuEpiG1t4I5svbgsqNqI7nvuHGLj9hkLfuyud2xNJvqA7FhKuz57KrXiWTyVilGbCdpUpCoFkTGZKElFSyZQVP4euqcztm7bS/qcvybpeYITLem2xu1PhZCnFSa5nn5SpmptJq7zQpvknqZ4unY+nkrPwWbl4jQ4KVVG1PqklLs3cSKk/OS6Gtx9sNYJZA93/9Jzy46d+8j6aT+MJUjeCGOLp90Vi4xNLGHJ85dsp89K/lnwlXsWXF+Te60hSB5ID2jxXdlWz9LqGxSWorZ4WEKrKceKilH0hLCpatlYqdJDP33Pxazp20BvZSVR3C/pP4QdFhFukwxrLX/+85/ZZ599xjRWbZsZRrSNXqyBS9UwRLkmbk1XvybWhpqt2KyNZq7MbOZbXsBtxV3p3qu3kqUxQ9lsQVQW79OsLpkoS+rb1E2UtGZrMUhess/amkUn7V/tnEkGaycugmSQ9LTKBlIPZ8GwJKJIKSJV23bB926AjFJrB+Alws0AOhF61qaDrsKz1g20WhEb0NbHV65eKopS4aaVyoSLr1Ix5VxdUSJWlALPJAO9AmNw55MIiIKnsDgB4Ova4O9rhTEeoTGZiDGWrM3Y2uxaGOPEa7odJPtDo+tErVKuz2Eiap2wGiwwPAWRSQSQVoSxi+ZKhYexliARzakYSgm0Ox+blImtO7dU9FRjW7tfpradCp30ugQ6Cb637rhaQdW4fb6CSmK28lTNglVI+ucr8HRNDBe12x8n7bo+KQLnpSYyzsqVXuNUSFkgyISeopDsrxqV65P7hCnlfhR4uGNHxj1z6fG0cm1VTXqdEkscUNA1y2KLZ9AKStpQ8mwmoGOcYNscaQZil2R3QyVmI1t4buWL+BtbWMljVKNeSba7DYyFm1NcpduGCLdJiDGGp556in333ZfW1tYxa3fbrWzDiLWtxJk5gdHMqlbvnkx71TgBIC/Q8vVTl2I+J1h9XV1Xt84tk34clM6283m+UkGWnm9elKUWslo76Qw6lVnF/KRNi83iuGr10/7n3KPKyT8AT+vskmpVE04etUE7FTyp9Si1gKRCImszGZxV8l5oagO+p2pl8NzA6axAuTaS8hYIk/fSMBdnpQFtnFiMlMVLBJKXiRcnysht14SWQuvEKpYTWU7YuWPFql64FT3AOnFZ9MCiKMYeBc+JiMjoZL8TU6moiA34ySMYxfXbxWS7kggSb9C2l1mAQqty2+79QDth5AGBB2HsrktRQ2icQCl5rg8xifCw7nxKvhMqxjqhE1u36Hkp6dNApAi8xJ2diKd0YfRUrEXWtekrKBv3b7NtlfQ1TDRK0XPXSCsoaEtknEWtRVvCpE/FZLtqFK2ecyaGRlHQ7p5GVlHSrsHQKkraYqzbbvHc/oFYU9QWrSyVWBNoi68sA8l2oC2V2F3XojZUjMbXznLWH7uHrc0zhMZtFzzXV4CSZ5wAVBYF9Mea0GiqRrEpVKyvwJaqYVW1j43eeoKVrby04UXWVldQCTcRx5udi1SsbVvFWsnjNhGIcJuk5MVbS0vLRHennmFE29Cu0GbuSDVIsGVlhhByzVyd9fuHtqY1zjhM+5SJuJxYq9tf59IEP0mdoKzOAu5Tq1mtbr3FLY19SuO7wLk1U9dXKtby2wYSYaUgJ3A8VCbWTGL5St1K+VtjcaIgzlyb6aBtsYnlyvmtkkSbSb20ndi4xB9YN7hb61yqzopkty32JREtBouyCqNq7Xk2nf2oMnFjrIv5skndtG9Kub997awzyRjvrD64Wx/UfiNk1iCr3Zdh+nvC107UpFay1CqV3/Zw5TDuX0+BjZ21KLMGJVYiPPByliiVCEit3P5UoBlbE1bVpEySaiyrG3lOAKYUknby29o44aUV+NYJzoKyRA3bzjJVi58rKkua67uo0wkEUPAMyigiC4G2YBTKsxR0YtHSrh2LO3ZaVxkoaINFuT4pZ7U01lLQxj3H2lLSzkoWW0ugTVJf42GTXGvG9Vsb4uSHUFE7G5tFUVDOZGqt22OtIrQaY6E/8hgwioEYNlZgUyVmcxSy0VtP5XmPRzY8xIbq0060pak/RLQJOzAi3CYxcRzzpz/9afzEW9NYs/FhqIkKdaKtiWUvKzeMdbD5pIGh20rbyM+0y88MbFZ2qDbyx09tgY37h0KTCk4nPtLYKtd2UqahCeeyqsU6gbO4AVkMlKcUfhLDZOL6WCJwkxZM7N6PYotRTnDFxokscAOwWy/UiZzIWGJrMwGYukoNOItb8kdsXXta1dozyUCP566NsYlwUPWxYs66lp5oLqGHqgk6lWznf+Gn7w26P6q+vs631VCm2bVWDdsqty8N0VO599Pr3IzU8mka2s2/V9OjNvtL1+1Ly9YOkq/n+uWEs829n3cY6rSMSn6wKCf6tHX7se7pbfy4qqRPddcrfx1Uem1tbr+tK1ffXn2/DUmco1VUraZiFKHRRBZ6IkVfBH0R9FZiesIqfWqA8guaNS+vY0P4NP3Vl51oS1J/CCNHJieMPyLcJjlxHGeWt1Kp9MoeLFUH21QunxtrBFUb0lvU8mfVYtbqlg6y1v2srzXgUDpL2KtULVt92hbUBFI6Yy8t46wpuXxb+WS9Sa4qi61Li2Cy1BkuIxeAVqbejZAMdrVj29xbieBJItncgU02w1BRs0IxhC0gs1QlVjDXr0QEURMFSrk4qTQlQ9XUBsjINo83c7NGXZuhsWicEAuT8ta6QH5fuRQdic7KxkDnnq2JtTQwPla1CQBxItCUsplAcy5am1gG3QxIYy1xOuJbsqxqhtQqmtzlxIKF03mJgEweDZybMkrKxgaUByoRf24Ga00MapUExSfbcaKNlKntB4jcbcusl0q548U2OUayP2/tjEzNOhoZiHXt/dSFGRmoJk+MSepBrb5zlSZiRqukTwqTHLuabEeJmdZQayOdUALOzRlZZ56MSOPxFKFS2Xsq1kS4+LdIuRmakQXPKIxVrp5JBbwTUO65UZm1ODKKqnKCL7LuuNY6d6fWzmoXGo2nLFXj6sbJc5E+hxWr3X4ne6kYFw+ojWIg1pSNIjSwqQJbIktvGNMXhfSqLby4ei396yNesI8loq3PibY0r5xIiREjMW7jjwi3nYAoivjTn/7E7rvvPurVFYDc7/TR1K2fxl+/QkI+makTW0qlyR7Sv2tl6jPUu9HZCbhcPFvdGpY5/1PdyaTHi1F1ayi65LCWWk4qS23ygEsFmkPVGtUosBFpolTXHy8rY4jRNk1E60RT7ZLYnPjM768lLU0nHLi2aukbjDW1/aoW7xaTCBTAy82MNA2WpdS1mVIxNrN6VWyc9S1N75E6dVN3bd6yFZo4EVAmE3oWiGzsJk6kgfJ1FknXR0ttliU4N2A1uZee0sTZLM5aX1KJ6yf7jTX46aoCWIq5b31jdSYO0vxS6bvOuud2pIH2zvqXBOTbmgBKvcSRSdytqiaqtIJqYokMk/2hgsBCJdnvrJruuNmxEmtnmFyIVDyZfLncIxzm/o6SstbWb4e5Aa9i3H7fQhg7C6mf9MlTqRhy+zxV22+sopKKPlQi1pyYylzpaCKTXEOlshmmoHPXUtWsnr7rXzVxr4LbjqmJuCixKUcmFemWstHE1hJZS9moRKjZLJYt1JaqcZ+E2EI1dp/jirJUrXKTKXDxe32Ruw4bq4a+KGZD3MeAHeC5l1ZSWNfOczzClsoqJ9pM1T0h4iLdRpTEuE0Ak064XXnllXzlK19h9erVvOpVr+L//b//x2te85qJ7taEE0URzzzzDJ2dncyfP59isTiqdjKD1ZAFGq1pKbrpF57K71Im+4BaqyHNBK9U7oNbv9RR3kVq0+Sett7BM2QcXLYzsdalIiY3ASIfExc3iYlz2/nZoE1mmVrqYtyGnNCQ9i2XXT6f9sP9nct+n5uokM4yBdBW1yZC2HxbKvsvnwMM0pgzk+UQq6oqRsVExMSqSqxdNvw0e722HmkOuFSAqcRykuZgMyoiVrnM+drW3Mcqn8m/edb8FJNvIy++s6Zq10ajMaq2coHBEMRBdg2KUREPTaC8LNdbms4itWKlsz/zKSwia7Ky2ZJaKp8DrZZXzpWvT1WiVL0g9XPX3lOq7qdL3JDqw1o3Y5bEquhyktUmbeRXqEjvZSqmjbX4yayRzM2dTPhwfaqJ//y5aWrpPFJrogYCz8U2GlvbttQmpqSCNv0N4DfMgE2FsJ9d19q2u/aDtw1pehdFZGp52cJkBmw6O9mQTmAhuX5eTug68Rkl/a3GloHYUDYRfbZMr7cRNpTY8FIvz8Yr6KuuoRJucstZycoIwiRjUgm373//+5xzzjlcc801vPa1r+VrX/saixcv5sknn2TmzJkT3b0dgt7eXlasWMGsWbOYPXs2WuutV2pCnd4a9GZevKUMdkW6dmotNYq4WnP5PtYG8cGCzgk52+h+zf1cq2Xxjmviy9YLwMYJCrX+NY+VUyrMyuVzuxl0Ztmrb6cmPvMpRDIBYusFXj6WrTHRbtauciLPtZ8TelkbOaGYSyVi0oz/uGS0JltdoIqxEYaI2IaZq5e0R8qtU1mX1iQbvKPkCkdkriVrkhiy/KSLdGLG4Jx1+eciv2wSmNxSULWWoH5Jp7QNS0y6+LhCUbYFfAoUbAHfpOtCqMzlnOJqDl71IS+S8qlWaj2pL5+25fqns+S4+cknjfGZqXVTxWSiJ7VapttOWCWxbwwmPX+Dy1kHNatsarlMU8E0rjPbKABTt7RSoCOVJcTVUepuryViTj/6jTGVULPIpi52qLm30/3p9ciXydfN+qRqlkit3XZesKb7az8EoWxMliMvsjFlGzGgygyUK0QrfVaU/5feeDWbyy8Sxf2JaIvF3LOd2KF/5m9DG8K2sM3C7eSTT+aUU07hzW9+8yvRn2H56le/ysc//nE++tGPAnDNNdewfPly/vM//5N//ud/Hvf+7KhYa1m9ejUbNmxg3rx52+U+HeYg7t+mMW+m4e/EZZn75V8fHd5YPn+InHtzCMtc8/qadK1GIJeo1tlOtmqlg0xwOUGiatvUhFhjLjjXXoPlLmfpy7dbi3fLraqQr2vzIqjeQtjUopcTWGmKktTpa7EYG2ViKzYR1kZEhOQXgk+P4c7Nq/UtL6RsarlLFpO3Dde/SWLitK8p9SKqflH6odpqbCftQ76PvirgUaCsA/xExKViNm/Ni1zUX64/NWtg7drWi+o8jWKokcZ6+Xs5qEk1eHuwYNQNfcy3XROQCoUyyZqztvZ+s6W6mrY1xPk2riaRT2GT1msmcvOrRDQuPZYvl88/6PbVf4s0u9qpqFW4lTUqNiQmxip3zD7bR2WlRW+0PMbjbAyfpRz2UI163aoItvYMiLVtdFiGnlCzTe3I5d8mtlm49fT0cOyxx7JgwQI++tGPcvLJJ7Pbbru9En2ro1qt8tBDD7Fs2bJsn9aaY489lvvvv/8VP/5kpFqt8uwzz9LS2kJ7ezutra20trZu8yQGy1Zcp82oE3TDu1TVsB/aOGurUci5w6hhPvRDuV1rok6hG+o3P9PGFRnSum6jQQQ29KdZAuDh1jGt2x5CTNYJxSbCL++6zRbztoaYCLfIuMGYCJNup9cjJ2K18mlMqwLOumazuEMXE9g4qaTxPBv7nLWVXCzXZnMB32xFi7QPaV2lNFp5RMpHqwKeCvCUj0/RLbKexjImC6yn8YmDF4BvbgFtJlzq4hTTeMd8mpv8+SpnQU0XYk/7srXtfFs1y56fCfK8ONcNlk13RoMXbh9uvdWhqJsQlGzn15PV+Nn24D6Yur9Iepvi5/qtrVf3A89NAsoL7Pp1VbV1q9ZGRAzYPvoHyvSXy8R9ms7eTkxseFI9Sk+4kr7KOmJTxpoBsvnN4iIVJiHbLNx+9KMfsW7dOr7zne9w3XXX8dnPfpZjjz2WU045hXe9610EQfBK9JP169cTxzGzZs2q2z9r1iyeeOKJpnUqlQqVSiX7u7e39xXp245KOnAMDJQZGKii2Ji8YWhtaaGltQXfH/kjMNSv8ZFVblZ3ZG7cQccddmbr0G3WC5CtLamVHrvRbTrYhTd4f63d/ISEQe0NlRh4BH1JjzfYEpcXXx7p7FqLm4AQ2yizrhnrrG7W1kTYoFUocuuv5rEmyoSWbaKch4o1TCqTn/ULifgbSTtJf7LZxrYmGpX20fh4ysfTBZTyCXQLg2LqbJhtxzbK6mft5M7Xq4tv9JLraLI+pGKl0RpmMFndtHxaPxV3+W1jw6xMfrtmUWweI+gpnzi5n57ysz5tbdtdW5+aazqJHySiFpPott05RJlr32375IVbvq8KhSGq206vX4y79h5BXfna9Q6yHxL57ezeEZEPJ/BUQNwPlYGY1nIHLRRoUZ2UbZU/e09RVr30VFdSCXuySQjZLHERbWOCTE4Yf0YV4zZjxgzOOecczjnnHH7/+9/z7W9/mxNPPJH29nY+/OEP84lPfIJ99tlnrPu6zVx66aVcdNFFE92NcaX+V75zJigUKB+lksSwSlOpaKpVSxpObXOusrzbLB+SnYkFlX9s6p0adtBgXB+vVD8wDhYFtfqmrq388dN6zdcQjbPjNusTgNZ+Vq9ZOzVBYgadT531J+9SVPUWCCAbUF1b8SCrlNZBcjY61yevXpjgBvVGsZCKgnSAT++Jl7vHHgExIZGpJP2pUI36XGybjTCmmlm63PHyc2nr73kz0Zi7ovVlk+uitZ/8G2TnWLNIpda6GGMiJ6BsnPUtf98aRWVtn0nEp6nrp8qEm8bTxexambr7mljc6u6RyZ6HmtjKn/dgi1b+HqXHH/q5r7+mefL3N+/izx87tcTVxxEOLfbjus8xg+rrhme5sT/pdTcN55NZOHOfn/S5zdcHMqGbbyvfb2cpDRruX83ymP8sNn4OtPbRyfMemwphPFBXPjZVrI1cfrZUsCUKQQTb2CExbkPz+9//nptvvplzzz2XKVOmcP755/O5z31uu9vdrskJq1at4vbbb+f222/H8zz++q//mkcffZQDDzyQL3/5y5x99tnb3cGU6dOn43kea9asqdu/Zs0aZs+e3bTOsmXLOOecc7K/e3t7mT9//pj1aUfDCbR6F1oq2FILRDoYebqQDajpF3PjYJYXD42DstseLDIav2zzX7TQKJq8uvabtZMfvIfrQyPG1KwqpmEAaxwkGq1XddaZhnaGGoxrkwOaCMFUeDQIw7Rtq7xM+yqVWH8ahKdJXJ1pHZNYLvKiESBuIgBjU8Hg6oZxf3JfUoEUZyKo4Qomx07uTbbfG/JbtvG83SzU/OBeL9QzIZqIL3e8aJDbdGjhRq7/GpcQxaAwYJwVyVpDnHu2mon6uufH1j+LjWIlv3+o7cZ2G7ebXbO8UMynw2l2HZrVz5dvfM4az7XZ9WwU5o3HGup+NArcrZ1z+lnM180ff6uiNteP9HmqPUP1z076Y8TaKInFFNEmjC+nnXYa73nPe3jPe97Dj3/8Y+66664xaXdkvqocYRjyX//1Xxx//PEsWLCAm2++mbPOOouXXnqJ6667jjvuuIObbrqJiy++eEw6mFIoFDjiiCO48847s33GGO68804WLVrUtE6xWKSzs7PuJQiCIAjC2GDs2Lx2RkqlEp/5zGf4yle+wimnnNI0HGQ0bLPFbc6cORhj+OAHP8hvf/tbDjvssEFl3vKWt7wiMxnPOeccTj75ZI488khe85rX8LWvfY2+vr5slumuTM3alrpGNUoV8XSJwG+l4LXh6xaU8iioFgqqnUCVstQURhliQoyNMYQ1t1Lu1z+k0S8BWnlJgHItOBogtmFWJyYc9Ks/DWp2sS0uoDzdn49ncUlww2w7m0yQK9/YjrFx9q8LmI+dpSkX05R3ZarsHGrt5M85fw7WxkmQf26mahJ7lG8n3Z/Wzc7FhlndZpZMjyA7Ny8J9E5J64NzyZmGa5p3O3npOqnKw8MnJqJitmBsSKwquUkJ2sVmZ67uwW7SfP/Saz4ShnRpN7GmZO2mk3atSy6ctzo2jx9M71WtvDuWn7jffLTy8bXLZ9jMTbo192PdPUjqNVrDGi3HebdsPhatsX7duWfnNHQ/8v1udMXWJmfU4os95Tftf75+s+vZzBLerH66b3D4qa67n+k1zm/XW8Rq/Wu0xmbXONdmo8UNwCqDNQaXVqj+s9XU7YwSq9sYIq7SoUmXojzqqKN4+9vfzhlnnDEm7W6zcLv88sv5m7/5m2FnJnZ3d/Pss89uV8ea8f73v59169ZxwQUXsHr1ag477DB+8YtfDJqwsKuRira8a1Qrn8Bvp+h30B7MpoMZtNsuNIoO2pjuFyl6Olt/MjIueaXB1i2HlCYLTdfE9JXK8iy55ZDqfy25NlzAemRtVj+lsR1wejPLj2Vrx42SnExu/Upb10Za10uSddbec1/doam5+kKS/E7UZ4BTVuErnR2/lhDUZnVdP9wMxjBJg1F/LgptnezzlcsVlp5jbG123NC6DGqWdI5nugpDcmw8tHXt+ai64T3O1Y0wxCrK+lGb1edSXmSZy6xLVxth2Kg3UlZ9hLbMFm8dsam4mCAzgEkmGeTd2tlz1cQFln+vmesu/z7Uu6PzbuR8G5krGOc+Hi5GsZmLMh9LF+gWtPLxVEBBtyezSmtiPhXijbMifVX7PssL+OF+BLg+OIGcinVf1RJfZy7x5MdQOqM3vW+WOBPaaV1NXnwFdaI97Xv+R0B6fbQK8FSQnVfaTuOPkFT4p7Fn+UkO7ty9rB1I59h6dT/C0uPn66fk73H+x0gqkPM/gNL6zeI/lfKyiRRpDJ07n8FCLLYRkenP4jfT5yM2VVA+sRmovxa2foawMHomKh3IpZdeyn//93/zxBNP0NLSwutf/3q+9KUvsd9++2VlyuUy//iP/8iNN95IpVJh8eLFXHXVVXV64fnnn+eMM87g7rvvpr29nZNPPplLL720btLePffcwznnnMPjjz/O/PnzOf/88/nIRz4yon5+7nOfI4oifN/nlFNOYdq0adt2okOwzcLtxBNPHJMDj5YzzzyTM888c0L7sKNQS87qoZSH73Xg6RKloIsWfxpz2Ie9/JkcMtXnVV1VZpTKlGOfP/R38nzoQzGgUHCSKV3GJ59Z3lJbQzHdBvd3um2Tuk7kkC20Hdvaj/GY+qzvabrafOb2dN3EdD84QZMtQE59IoE0sWdeONZtkwqn2v58God0Caf8tjs3W7etVE3A1bZdclNwAjVNdJpPepovk09uG+XqNCYkbbad1lUoYgwxMbX8WO56ucQGbl3TdDvAc8PjgGG/qJv9WmI8Bf+zLmYgchnl17KRiioTExKqSmbtzFtTtdXZttck5UOWaiT7u5Z+QqHxk68Yz/r4eFk+s1RsGmwmRE0iSiNqM1YN9Vaq/ODuZiYaOkwXbZRQSrFbqYXOgmJT1dJfgLAzpqgL2XVxSYhzsxSVSc4x+SGQ9DFWcd0zm4mWZNUIbWvJjXVdvr365Mv5uhab1UlXscintvBtfYLhtE76zEa5FSbcOeQ/GbU0Jhpd17/0ePm66X1qnkokfz6NCXxN3fWLVVy3tJnr+9CW2bpnJb8cXC6dSrPUKo3lwD1T1kK5WmGgv4LXV4LIHTtUVV5mJaHtZ0t1LdVoM1Hcj7UV0jsKBmVFvE1G7r33XpYuXcpRRx1FFEX8y7/8C8cddxwrVqygra0NgLPPPpvly5dz880309XVxZlnnsl73/tefv3rXwNune8lS5Ywe/ZsfvOb37Bq1SpOOukkgiDgC1/4AgDPPvssS5Ys4fTTT+f666/nzjvv5NRTT2XOnDksXrx4q/187WtfW/f3u9/97jE5f2XHyuk6Cejt7aWrq4vaEtKTlzrXqPLQuoVSMJWWYCrd/nxmx/M4qKOb42ZXeSzuoloIKLQEtLUGKK0INBS0E2BeknosXU8Rmv+Kyhm2sqtXJx7yIilX3zaUJ1dH4U7D2MFloN6Bl8/5u7XttJ3sPGw6vLl/076yle2sH7lt05ANfqjtxro26UOjgGw8h7RsPns8uOHGZG01Crf6Ydyjdn1DaxmohAz0VtjXt0yLy4QWHt0I5dgSGstAVC8klIJAO4nmrJo1MZG/PrauT9Th6ZpV1lNuuSJP1c7NV6l1tHadYmMJjWs3zvbXLKVu+Sh3oJKnCY1lXpvHjJJlQGmeNwFhyaPYUaCgveT4tdUAnJjPi5haEld33vWJZdPrnt7POPd0ptc3L1PqEzHXRHgq37LHMSfO07/TFRPy9zLtY3o8ay35pLZp24MS4jZZrSGzJFNLg5Hua5ZMt/EYtfOwdfvyNPapdq1qz3ydC7dJEse0XW11lky3sR8KlSUWdqI2JCKkElbYXN5CZSDE39AGA4pn9R/ZHL7EQLiROC5jbCWZyJAk4N2p0oJYIKanp+cVj+m+//77eecxi/nuq7ffkGKt5e2//SIrV64cVV7YdevWMXPmTO69917e/OY309PTw4wZM7jhhht43/veB8ATTzzBAQccwP3338/rXvc6fv7zn3P88cfz0ksvZVa4a665hvPOO49169ZRKBQ477zzWL58OY899lh2rA984ANs2rSJX/ziF8P26Ze//OU2nwfAHnvswe677z5smUm15JXgaBRtnm4j8NvpLu7ONLWA/b3d2GeKz0EzNU+1zqWrNaDNh5IHgbb4WEqecdvKZmsyusFN1YmUwceup9FVaqkfwId2pjUnjZdIRU623+YHgcHCMd3Ojmtr+/KLjY+kP3XCMT2urQm++qsw9HZqqXTt5AdtlQ0/aV8br6MrV+tPOuhb2+Q8m9yv/HlWDUQFn7i9hZ4oZkPcgS6HHNlVYb7tpRrC+qpfZ/X0lXtWPGXxlHtWgtwg6ylLbFXy3NTWqEyHZyD3fLlXyYvxdCoULIE2xFZRib3sWleNRyXWxNYtTu6eR5VdI0+Z7DpNLVTYpNr4fbWNv/g+fkvANK3wPSfUClrh65oQTdf2TBdoz5P/UaJVvaCqf5YGX+M64aaa/6jJP8+pYE/LQ03M1q8oUDtOLdlw2tbgm14v3Ab/kIkbHp40pKFR5GlyHWdw+fTcGn8sNPa5mfjMzqHhx0va5/R9wKX6szUrvWsnJzRV+mPGEFsIbUToRXS0d2E6YsozBqiuVxy66tU8UWhlk36BcriJatTr3KhUkmMNdr8KI2csJO/2ttHT0wPA1KlTAXjooYcIw5Bjjz02K7P//vuz++67Z8Lt/vvv55BDDqlznS5evJgzzjiDxx9/nFe/+tXcf//9dW2kZc4666yt9unkk0/e5vNQSnHWWWfxqU99athyItwmGc0sbYWgk87ibuxtD2Pv1nbetXvMqvYu/uyVmN+maPctUwox7X6EVlD0Ilr8CE9bfB3jexZjVPbFWY08FBatLLHVg7e1wRiNVhaUJTZetj82Hhay0G1rFUpZN7hb8HT9dmxcGd8zWKuITb68Qqskzg2dtYkFrZLED0ahEzEQGYWvatsoN3iERmdiwqSWFSBKzsdTNtvWyhKZNK6rNuNJK9emoZZq1EJtO+mrSUSMpyyRUVhq+yOTuJWByNYEjrG1ax/bmlUwf+0iWxtLI1tzRkW5QS+2ijRxR75M2ZD0BTaHvhMibQGr4xbW6SkUwyqVyGYWSq1qQkYrCDKXb81FnneLm8wi5nqYy/xHKl9Sqy4MXrCcoMFVXtees3Kllq28QHhceRhP06oVHdqJtaIHgXbvF7zasTSpVVll55mSnlcqnpXKhwioOotyvg7UBFej8Es1Uro7FYvumaoVbhQ4qQU6L2aMJYsAq/14SI6fO0ZjHum8aMw/y43nMMixmW8npz6juns+WLgNN3Ulbjif/PqssbGZWE6Fcv56pmEXaUiFzb0f2ZoQrsY+kYXQxETWUrYtRNMjtnT3cciLh/BMTzcbvJX0VFdSjTYTRgBuwo64THcMKpXKoET5xWKRYrE4RA0wxnDWWWfxhje8gYMPPhiA1atXUygUBk2SnDVrFqtXr87KNEvon743XJne3l4GBgayyQfNeCXi/FNEuE1KaqIt8NrpLO7GnvbVvHlGJ0fvrXlYzSZSmoWtMLcU0hlETGsp09FWdi6wUkzQlsTnFEAVFLZqUb5TOmbAqQflgQ3Jtk0FlF/brzxQniIuW5QGFbgy1oBXBOOWwUT7YJL1yHWhtq18sBHYGHTRlTVVV4YYTKTQvsUaiEON9g1Y5fYHbjuuujIAcahI0pi5be36FVU1KBejFkfaCT1liaoeSoPnGaJQozRobYmSxbW1hiiJmdHaECaiJ/ANYaTBKjzPEkYaiyLwYqJYY1D4yhAaD2PB107ExUbjaYMxitB4rh82EZyJ+KzGurbfanxlMIklSqtaGU87MVMxTtAqSHLVuzIVk066gL5YZxafHt/LBuyKSaxKxQItJnWyDA4kSCewWOoH7lRkRImaSsVZOvA6EVYTgvlYxEYrS769VGD4icUlzrWXb78DiI0rV0j6WPIsvnLCvqht1r6v0sXH3Y7037SPLmTAZhbWQLvrHluFp2wimHKCKxVu6TXKnXsqFiPr9qfbtePVjp3Wr0lcUInQd2KlZtn0kvuTikubCbqa4MiLvvSaG1TNQmoZJPqbxYk2CxfIl8nqkgri+rjXRvLCPBXEtdhYlftBoLJjpMdsDIWo/TCA0LpWLe5zERpLZDwqxlCOPSomRnuaTQvXs9/mBVRXzuURfHr1S/RZQxSTuEzF6jZaxnLlhCuuuILLL7+87r3PfvazXHjhhUPWXbp0KY899hj33XffdvdjsiDCbRKRZSjXLfheK52lecz1DuL4qQuY0uYRz+hmTUfA4cWQKYUye8zaSMuMGN2u8ee0w9SZEMXQ2QbFIlQq0FKCwIeBstvWHmzeAr6bvMBA2W0HPvQN1Lb7B9y/xQJ+7xanclpbYEuf+xS2t0G5AlEEpZI7VhRDW2ttu6UIAxUII2hvhTCEctXtjyIoh9De4rYHqtBScCqhXIXWkgsA2zIArUX3DV+uQCn5ZbalDKXABVptGYDAc33fUgbfg4KP7R1AaQWlANtfARSq6GG3VEEpVMnH9lVde8WC228tqi3A9oXY2KJbfEx/xW2XfGwYY0OLLmlMv4HIolqcMDYVt5/YEvdbdAkwEA+QbUf9iXA1EJU1ftGpomqfxgvct1tY0XieRXlQHfASgWoJKx7as2htKZcDtDZoZSlXAldGQc9AMbFEWvojPxNoVaNzViS3N3Vr1ixSNvuS1so5u5z1w5VL3dxpdBSkrk1nefRUOiuxZul0YkdlbeTbzw8I+bZNYjVLxRVAQcdoBb42KCy+Zwl0nFhSyUR16qCrJu5Z30tEOFDwDWEicot+jEERxZrAc8eJYoXvOStx2meTWIYDL8YYRWw1vnbnGZn6bRR4OEHvrNVOtGuSHwyxU6ep0IdkO3bHSPdbFJ42xMZJNl8ZYqvrLN3Guh8PBtcnLynj7qW7P5Fx9zUV341iWwGhUZmYjGztR0KYTMgIlFvcyibHS63PmdUcJ+6iRDT62iaC2InpONtPcp1q7uYs3jb3jKShHKnQC01NBFeNs0wbqygbj77IoxIH9IYFpoXtbGodoLpvlXkb5tL94qtY4a9gQ/VptlRWYcyA+zW6U8W7jQ/bGg7TjPSKn3nmmYNE2nDWtjPPPJNbbrmFX/7yl8ybNy/bP3v2bKrVKps2baqzuuUT9s+ePZvf/va3de2lCf7zZZol/e/s7BzW2pZy00038e53v5tCoQDAypUrmTt3Llq7B76/v58rrriCc889d6tt5RHhNklQqbNI+fheK62FaczzDuHVpd2Y3q7ZMnMaB0xR7NZSZk5bP93d/bQf6KOnd0HRh1nTsO3tqLCK7ehwIqa/H1pKWD9A9fdjW1vB81DFAIpFbFBE9W2BQuC2W3rBD7DFZL8fYIMCKiiAr7EtbaiWEsQxdHRAecB9E7e1QN8AKo6x7e0wMICKImxrC2qgDJUKtrMdVQlhoIxtb0OFVahUsW2tqNi4vra2JiKu7IRebKBUcMIQ64RlW/JhKvQ54Rn4tVchSPZ5EASowHPCrlhAFfud+CwWUEGfa6O1iCqV3Xap6MoYC20lVLHsRrjWAF2sQmScoKtEUIlRLQGqGGJDg2oPsOUIVY7RbQE2NlAM0SUfjEEVYlSL50RhEKOKLsea7jfoYjJCecZZRxXoLTG66GKAlLJo34k4z0+2E4ui57m/Pd+iPZOIN5sJutacoKtEXubujRL3deClosOJBk/HxMYJnrxQ8RLRFMYennLHMcmA6nlukoExmsB37YWRRmuD7yVixSp837nKw0jje8ZZR+PU8mmJ4prl05jEqqmT1BrG1fE8kwkGTxs831lPFeAHzqpqcbe5ELrz9f2IKHKzE4Ogtl0IIicwYg/fjzBGE8ca348xRmcizhgn7gpBnPU/8I2z7sWDz9ldJ5OFFkTGzQXW2hDGPkrZzFoLTviGyZd8JtyS0IIoEZmB77ZNct7GKGKctdZZtBLhhiYyioJ2gi4LLVAQxSqxjNqmYQY6CydwfaqaNP2JyYRiatVLRXoqFHUiDG0iPuNEXPlJqEScWKgBIq0zq3GUc1PHmevfujAA5WabV5PJLwpLJRHUAMVYU9CKqgFfa0qexq+00B8H7DFtIavUGl714sE8UjBUos1U0zx1ygwOgBTGjTRp/taw1vLJT36SH/7wh9xzzz0sXLiw7v0jjjiCIAi48847OeGEEwB48sknef7557OE/YsWLeLzn/88a9euZebMmQDcfvvtdHZ2cuCBB2Zlfvazn9W1ffvttw+Z9L+RD37wg6xatSpr/8ADD+SRRx5hzz33BGDz5s0sW7ZMhNvOSJanTXl4uoXWwjSmF/bliNJuLNkD/tAylX27NHu297Nbdy9dc6v4MwvoA3aDjnbwNHbKFGyhAJUytrUdFKjYYIslJ+KiEArFxNJWdvsLBYhCbKkEQQHCCtZ3oo5qiPX9xJpWBs9Z3wgLYAy2VEJZA747hooNNgqd6LMGW1VQKGBN7GwpxSJWaZQbNbFaoYx1+03sRF+pAKFGGYMtFiGOUdWqE2PGQiGCIMmDVfBdPwMfilW3vxA44ef77u+gkvjZkveUcvUCLxndfQiTj0ghEYHgjhfFbjQqFlBhnASD+ajYYo11dSN3birwav6/wEN5Cl2InXUvVqjQoAo6cR8bVOD8VSoAAjeC6opF+8mAWrBOuCmFV7CZ+1qHTqjhURNtBYsfxXgF93cpruIHbtvvNyjtLHSFSpK2w4+JIw9jIAhM5lL2A4PnG6IwGbCDRLhFmqDgBFQUeiht8ANLFCYWo8ASRwprFH7BOJFQ0WjP4AWWOHRxin7BYmPnyvZ8g/JcOZTN2rNG4/kxJk5EVOCOm7q/dSI0Tayz88pyiiXCEEB7Bpu4hn3fAk6YeZ51OcWswvMtyoBSEb5viSMnCn3fYGILePhejNFJTkPP1bPWiUuVWBA9L026TCYsXXynK0eUTLrwDMY4Qe15zmlt0tjPxNoYeKmT0IloZ5VyAlbhBHag3RJfypgsbpQ4Ee3WoLUTd9oq0E7cub56eJjEtawzq2xqTfGVdRZu5baNdX3NrIOJO1zlLILK4JaRVxa0TlLt2CTNjbO4Ku3iRFMrIMbUXK6m5jpOIx5dn7Sri3ORK2XxsEleP5v1NzCaqnGzbYsafOVTCDWm2o4/xedl28shLx7CluJaNmOohiHWhonFWMTbiLD1E8dG3cw2Xu6lS5dyww038OMf/5iOjo4sJq2rq4uWlha6uro45ZRTOOecc5g6dSqdnZ188pOfZNGiRbzuda8D4LjjjuPAAw/kxBNP5Mtf/jKrV6/m/PPPZ+nSpZmV7/TTT88sYh/72Me46667uOmmm1i+fPkIz8sO+/doEeG2g5OlKcBDqSKFoJPphX15ldqfd+5heLRtDvt2eezVXmbB9B469ojx95gCUzuwu83BtrTULF3GQFW7b8TYQFhBeRobx1CpuC8+P4Bq6H7pGgvVarJtXJk4mddVKaNi37VVqYAXoTTOXWkNqlxOXKIG5fuunTByYqlaRVUqWM9DlatQrcKAj6qGrr6nUVHkXKfVMNtWFd8Jr0oVFfjuHCpVJ7JM2o/E51KuJgFTMVRySVMrYSKijHPRJhMRqIS1wK4wyZfl6dx2WNuuJtuxhUqIrTgRp4IIW42w1Rh06P4NDVTcPls1qCDGxgYbGtCxE7lVC16SlqDqrGVYi6k4txbKxf6RWMdslMYbWhfvlwRnm0i5wc6zxLETEenMvDQDhudZdOCsd35s0L5BewDu/unAYEIntoKWJMeXtniBxStadCURJC0WG0IcWvyScWN9P669AugqYBW6aPFjiKsKv9Wdi05EpS6CV7GYGLySOy8vtOiizayJyrNZezY2eEXr+lc1eAV3rdI+Kc/FS5LEs1kLcazdwB8r4iR2USkXb2ity44Xx14yycVZ86xVRFFtWxETG51NyDHWiU2jVWKJU1mi2dQymG5nMXxGuVAHZTGmlvTDGCdOQWeWK2JDZHUiumru49SqBqCMzqxvntJZn2KliY0ispp0TfXYaqypTexJxRU2nbzg6qI12iYWrSTgLk4sbpFy7bhAPJNNPMI4y1rSqewclHHxgakFzliIjfsRYtLBPretdBojWHObx6mfwdYsbla5MjZxlxpAW0XStPtBmsSzamUItPvuLHgKX4OvNLEN8CNNdXqFXltm7ksHsbIQYUyVKN4skxW2AcvYukpHytVXXw3AMcccU7f/29/+dpYc9/LLL0drzQknnFCXgDfF8zxuueUWzjjjDBYtWkRbWxsnn3xy3XKdCxcuZPny5Zx99tl8/etfZ968eXzzm98cUQ63VxIRbpMBpSBZCaGzuBuHqP14/94ej7fNYk6Hx97tZfaYuonOfWK8vabD3BnY1lZsdzd4PrZShtigBvphSx+qkoinns1Q6nfpAPoHEjdhEstWKjrB1d8PxWR78xbwPVQQuPJKOUtUX+JmbCm5/eAE1UDZCaRy2ZUxJnONEoaovgFXrhq6/WEI1Qg1MABh7PaXK06gDVSgZSDZLru/0xi3Utm5ZwdCaElcm/0V9wq8Woxb4Lt9nge+V4txK/guxk0rVFDGbK6glEL1h9iBRPQVq9j+qrOKVSLsFhcPowpVTH8S71aOMOUIKhbVGmHLTpSpSgyhE2W27ARa3GfxSq5ePAC6Erm4tr504oWLcYvLzgoSDmh02Q1KYUXjB04EVQe8zA1aLfvZBItyOcDzYoLIEEWKIDaYyBBHOhFFpu7bUrlkZmjPTR5JBz+l3T6VxNQpz9bKayfC0hWS8nWUSlI+JL8TlOf6qzSJK9fVT4+pfNIps0mZWjvpvyTHVKmqSDAmEanGWduiSGVWgGroORegtlQTa2EQGSqRR2wURU8TGrftx142yzmIvEwkecrL3H7F2LmHw1gTxK5MGGsC49KUhMbDS2ZrxGj8JBldZDVB7FzKldhZt7S2Lt4tcUWmcXepq9ngLEepRctXNpstrFNLl3VtZ5NfjHOVphNbLG47H2vo9jsh5ivntk0nv2hlE/eou+ZhrJJJKfn4Rp1NnvC0O3a6XU3j7tBEqTtWp7FsCm1tlnYo3QbwbC6WLdlZjVUW7xam9wJL1SqgNoPcU7UfuM4S554HX1s8C/gxBetWNvGUIrIevlZUy51EM2IWmnmEqytU/F6sNURxLzJZYeRMxMoJI7FclUolrrzySq688sohyyxYsGCQK7SRY445hocffnjbOvgKI8JtBya/lFXqIp3Pwfztnj79s2Yy2/dY0Bqy54yNdO4V4+09HXafg5k6LZnKpyGKUP39EIWoTZudgAInfHr6XPwbQDly7j2tnPWp6DuX4kAliRHzXGC/5zn3YjkRNKnoQaFKATbZr1oLUI3cp7o1gHKEjWJUaxGqkYv5KvmZhUqVAogMthqhWgMIDTaMXTvGuPKtAUTWbRed+9H0h84VaS2mEqOT6YWm36BKGuUpzECMChTK127bw7mP+5Iv50BhB9wAq3xFPJAMCKUKcTndru3XhSqmmsyGLYRE/WBjhVesElfcrFevYIirijjWBEWDidy2cwkqotB3bj+jM1ektYpKxc/cbtXQw/dcXFql6mexX9XIS9xmUIl8537CUolqA/9A5Dt3URKLVvANBT/GhddFBKFzOXqRm30bhZ6zTFmIQoWJtbPEKfe3l1iJTJimSjHEoXYzhNMULFWNZyzWunLOymewsSIOFSSuuLiqE/FliStJzBbJNarWykUVtwSYl7RnYveFZSJFFHrEiSgKqx5xInqiqCbEjFVU49TtV4vX8rWlajSx1QTKTWBIZ4/mJ1ykLkoX/O9ET1FHiVDSWR660KgsuD6MVeYmdbF2ifUoETDpRIB0UkBa3lNuJjA4cRJllvY0XYzNUs8oqEtJ44duO8rFmUUmcVGSWKtSy18iaDLxlEufk8aKpQH/WjnBlF6PxokpChdnFifbnnKTBTLBmfWDLK6tNpElL73rk4CnrtJKMnHDCTeyPkXWFU5nVuukT+kEmlTQFXT6N1k+QtDERYWvNdW4QBx2sXrWC+xj92LzmnVs4GliM+D6Z2Oxugnbza233pok/nepS+68884soe+mTZtG1aYItx2UWlxbEd9rY1rbfrzBezPH7R6wZtoMFrYqDpv2MjP36qPwmrmw22xsV6ebYACoTZtQL74EmzbD2h7iDQNE6yLCPk0cKqoVj4FyAagmrgyFp6rZF7TvOcuVcyGFbpCJ3OCdBiq72WMhsfGSPEwRNnGbeKqKSQcZVUlmvWk01WS2XpAEkgcYW0jiSnwMxWSxJpczLdAx1noYW6gNMraYzZ6LTKvLb5ULwobctkrOIXU5mtrgE9ma6ymfoiGd0ZfmmUu3U7dOln+OdFDR2ey52NYGynxai/yyYem2SvtNLU99OmiS9CMvAtLt/ACYprWAWuoHrEu6qxVZaoyCtllC3KK2lLTB19bNxtSWOBUNSXC7C/43We4wP7HGpHnwvGTRJGxtVmnV6MwalFmM0pmpRmUzPtOcfPnZp/kZmjUxoTMrUGR0rT3rUj+kMybLsSY0TriERlE1ijARDel1SK+PO1YtIbKiJhiafw5rogJq6S+GqttofUjvjqU+pYnK98OSCbp80uVG0vQZad64xhQeaUqVxpQh6fFSt21eMKWO3Th3PnUpQAzZsw25bVV/7Owa5/xmka2Vd3kJXcV8vrnhcr+luQvBrYGcHi+2tRVHfJ1MqkBR9NLn3X3m2jwops99kkC6O4hp8RRTA02b79FdbaOtfy82zNrCHuzFHqsO5GGWM1BdjzH9It5GgCwyPzyNiXj//u//vu7vxgTYI0GE2w5MamkrBlPYw76K4+dpXuicyqHdir07+pxo238Kdv4cbLp4bRShNm9GrV0Pz68hXtdPuCqib2OBjZu7KMce1dhjIPYox7pOOHiqNqCkyWHzmfBTcWNJc0jVyJfT1AYNlRus6rK4Jx/2uozyqXhStYLNvthNrmw6ADcGyNYGK5uJnlo/audh6s7H7W+amLTxs5XrdzpopgN6Y46v4T6W6bHTeiZ/PRrOq5bNv347PU46yDoR6/Z5CnylCDxFQbvktL5y+c6K2lLQJluGKj/IpuefT8SbrfeQ7Gv0VjRadsjVz86hoY26a9HQXmN6kVp+OJuJtMgqysZth8aFFEYGqra29m56vEz0UL+SBbgksM3Ir6Lg+pL2Lf9c2+z+NzuPvGBqvB6Qe3bq7v3g/rhlrerbzK6VTZ/lWnwfULfCQn45s2ZtpO3kV1gwyfkNubpCrm2TBM3VPs/1S8I35u5L22n2+cgL4vSc0hUU8kuQeUrjaYWvlItjUyqxvCnKAbR4ilZPUdQWfIOHe+49ZeiwzkpbjX2otBPN2o2V/evo7J1HZMpUQ5ecV2aZDs9EuEonCyb/S2YMEeG2o6K8LK6tq7AbR3VOY0NrG7tNK7CwbQvzZvdQ2H8K7DEbO2UqtLSgenpg82bUmnXYlRuoPrWFLesKrOudwvpykU1Vn9AoKkYl2fTdQBfjHoQsWWmacNUOHqTrhEmD1QJqv+wbLQPZ4vO55zj/pW5yX+p5wZfSKCjiXJ/iBhOIITle8gtfJ6NM3dJSSfl8NvnUKtCYuT7fh7RcY7+ttXWWl3QFhLR8XszmzzOz1OUG3HQAzB9rkIjMW0WoxXxYILK1gc5TbjDztSLQmqKn8BUUPEVRK0qerlvJwFB/3RU1iyHUEsrm+5WKxWbLdmXXTtW3kdbZWnv5a9zYVjV5ftN/3cvdhzA2VK0lNjYb8NMlpfKiKM6NGPm4mdQZmAqWxuWkXPm0705I1Nb/bOgvtRisdC3UvKBqrJuKwdrxUgFb/xw0rt+Zr5uuZ0pDeZ3rR+PntrFu43qm+eugGv7NX7f037QdM+iKgE7OpLF+YzsGk61HmsckrXvWQ0eaAJ9S5KOVRqPwtGIg1rT7mqoPLb5LkVLSyXJ/ytLmuU9f1Sis9SmX25m2+wDeisN5pLCRMNqCtTEyy1TY0RDhtgOSLvLs6RbaCjPZyx7KoTM0G6d0MK8lYt70Xlr38WHPuc7SVkhmgq5/GVatwzz3MtWVIatf7GD1llbWVALWVzV9UWKNMBDGbqp/NXTLwwTUlJKfLB8EbmKlEzduiRpjrXOHJN/0MRYvtVThyoB7T2t3LrF1AgISy0Yq4mzNyJ6KuNp8O/BQteWOkmO7MoowZ90zuWVy0ozuft6VpGsjbXYOOaER2dov+bSveeGTVM2287/841zdCDPI9aQbtjMRl5xbeg6RrQmMGINNcuLHyaDn5ZIzuExXbkjUidMyvQ8xlljFdQNmwRYI8PGVpqg8tHKircV3ua48nbsWWQqGmustCSHEUi+mFM6il8/A7yw29UtjpfFcjSsnDNVeag3LC7xGS5dSzqJWNZZqbAmtpRobImuIsYQ2pkqIUSa7Dh5etjC5SmdqqigTETHJrOEcqY3LyYHawuvKKkzillcoIsJ6ixAGlZNZXpbr323nF0t3d89kz1ZMXCfuamJJ1wvILLNZTRjFydOT7s/3o3Yuqu7vdF+zuinpdr6tfHv5c3ZPXu1aptcpbUeh0bZ27Hw/Gs/HKIOxUdZunthGBF4B7Wl8W6BoW/ASK5qONK1xiXLkExY8ysks18h3sX9B4kJtxxAFLmRiIC5QDacQz9/IjBf2o99/2aUIQWaZDk0yQ3k72Rmv7MKFC0flBpW1SichWWybLhD47cz2DmDRlC5e6pjC/u2wV+cWOvY26L1mYebMdvnIBsouIe5zLxE9s5Hepz1e7uniuS1trCr7bKjChrJhS1+VgYEqXtUwQ8dMJURbN4XfU5ZAkX2p+TnXWEpoawt+x7a2GH2ja81LAoXTfemSQanbL8rVN+RcsKmVLh3UVJLGTKWDXGrxq9WNkliqOGc5S0nXn0ytXV4WL+beTxcyj3OvdDkedzybteOrmqUlFTmpxSw0rk5kEgGWs06m9RUq60/aBjihFCeDQmyhEufcXrnzSdfPTOtlua7Sa2jIrkNkLJXYWYE8pfB0RNFXtPnQGUBHANMLMVMLITNbyrQFIX6yALwXGKJIU418d4+MplrRSUxjLb7OS2LPPGUp+LFL7IuLkUuz+mfxg0YRJTM2DSqLG0xJ21HK4mm3+HyWBy1JFhzGHpHR2T0sRx59YcBA7NMT+vSEHr2hZnME/ZFiS2hRsaUcWbeElwIIncWxwV9pbeQszzZJFkzNeuqeZ5X9W/BqdVMhHhmb3EfrYrGymZMmc7UqFRNo5e6HirL9qaXWWKjG7oeAMdZJqPQ5UiRW0+R+KjcZQiWfPJs8R5GxKGsJjSW0aX33qXGfJYunVfL5rE1esLhn1rduEkBoTBJHpoiSPDKpJUsl1yF1SaZPurMguyWnLKCsT2ydgK63E2q8ZAqz+6zX/jWJ1VmhMVhCY3DTMDQRFvfzpeYqNXhEShMHMdW2HmzbGkotBVpaivi+T78tUf7/27v3ILmq+8Dj33Pu7ef0dM+MNJrRoDcPAeaVFbEsG9sQVAjicpk1Ra0TygEXhWMvSm0C68QkWcB2YrLAYgdMjF27Bidlx6x3K2wWOwQsAnhBgJGReRjJ6P2c96Pf3fdx9o873ZqWRtLMqDWtnvl9VLdguu89c/r2nb6/Po/fcZO4JkbL+PXj+EH3aswE11lEG1pt8I2mELFw/BiZ9jFWjaxiwNmO5xVxPQeZZTq54PO4DuXMwcjtiSeemNFxK1asOOk+EridkXS1te2y8DIuXREnlwqzqqXA4qVprLMXYZZ0QyIBuTx6YAAGhnG3DTO4M8rukSTDjs2BvEV/3mPwUIaFToE2o2jxYbRseCvnkPWdCb9RYaHQ4zeGygfqRN74zcDH4BtTbTE6UkZAjZdzdBkTu5Z8U2kzOtIVM3EsTaVVoFKniY4+ttK94x9Tn0odguPt6q3uSD2MCVrKzHjnC4A7Pny+Ugc93sk0sbVjYhletY3Mx1PeMV1DlbKU0dXWnUpZLh6mkjUeD0+51eMnlqMr/0xt60m1pWa8Zckfr4mjSng4KDS2CREmRsREiZsYMWXTYoVoCYVJhaPjg7orsworQWwQjFQD02owaca7+46MFwvpI93iQauZqgaiwfs1XqZfOWfHBqXV8lRQXvU5jgzin9h96vhQ9IJgJe/6FFyPol8ib8qUcSnqAiUKOKo04RxaWGUbi1D1faicZw9n/Nx7Nec1eN8ttAmupqOPhaClzhtv3fNw8I1Xe7yyqu9DpTw1/n76R64cPOXWHF8ZIaZMsL/lh4LXYOxqGZW6TjzeMw5B6Dfh+jEabUJoYwWvwRxpMauWMV7/yvEAnnInnIdgMooyFpYKHdViN97ya5zqa/dwqtf2RDVlYaHMsS2Hwe92qo8bE7yeyrn3VXB+FBba0YTHEiweWYEiTBafUjSH6jlEd9tSPL+NUjmG44dw/CAliGcrEjZELZ/4+JJmhZDC8SzShTaKy3s5q3ARu9yMzDIVM/Lxj3/8tJUtgduZRimUChG2k3RZq/n02YptkSSXx11Wdo4SOT8BS7uDHG2+QaXHYM8hvP2j9P4mxo7RFLtyIfIe7DqYwxvOstD2eW2gyIjJ4SiHosqTYwSHfPXDXRMsXK/QWCZYfUCZ2huUjzP+36A/rfJBa4xXTUAKEz6YofrhHPzvkW+twQfv+DIzEx6beFOs1Kei9kP7yO+udMWYo74VK6xjypsoWOKmMl7Gw5jagKk6DkfpanmT8c2R82J8r6bLqHI+Kr/76Jt+cPyE12KOdDFNfD2V332kLrU33eD4Izd733drXoelI2hlE9JxbBUhYhJESnHixQQRE64JTivBaCWodMe78iZ2eVVu/Bp9pHtq/PhKGZVAOBindCREOfoGPfF60Sgsc+RjqRLgVo6tdmsqFwcHV7mUxwO0ssrjkMczLr7n4PklvAnnU6PR2p70ffSNU/P+V/5fqfFXpca3SY6tXDvG+DXHVl9fZfUGZddcS0Gm/2PfMzPhegiOt2qOP/p6nOz3T/y7OlIP65jXU30N47/TM27N8cd0kaoj1+Gk1/JR9T/6va6UVfN5MV6Po8/b0XUwxp90X6U0WoXI2L2EdByNxi5HSO3p5jfJ91m2ZClOqAPHSVD2w2gVGl+bNfiSGh4f95YKW7hGMeZEKXhtrO5pYWjvQcpOGs/3pcv0OKTFbfZJ4HYGCQZDR4iEFnBx+Fq+sLyN3S2L+PBCl9++4DDRj3RjLjoPP55AFfKo97bhv7OXvtc0e0YW8quxCHuzHiG3TGw0zTt7RjmkD9Hv/YaiM4rrF/F9Fyof7pPcQKv/r479UD7mg/U4H8rHPHa8D+ZJjj9ZWcfU6SRlnKi8mjE85iR1meR8HP/Yo2+atTf7yW6Yxz92MpMFkLXHBeUe6cQOfqc1HnxolLLR2sbS4eqNdOL7NPGmWwkKjlYNII4KJpWyagKHieVM9ponno9K/Wqft2rqUwmKK/Uy+NXr2h8PPKgG4rXTO478ronnsLIsVW177MTjjj3Wm/Bfjjp+sukJk11DlToc/fsnuxZP/Ld58uPrVUZtORPLm/z8ncyJ/sZPUkbl942/lryyUWr8SyeawzpMrNxOIeOxsksxuqgP24QZynfRoRIsjodYGLVoD/lELZ+FYZeY1oBNNN/B7rYhVqaDNSuHCzsoO0MYHAnejiJj3GafBG5niMrYNq0jtEQWsbZtAaMtLZy9QHN22zCR81tgSRcm2RYs0j44hNlxkNy7DjtHFrEzG2ZPxqM1k2PH/izbC8PsV78m5wyQLw/h+UXMhFaFwMk/4I819UCpfuUcXd5Mjp2C4wVvSp/8G+FJAr8TlnWcYycOYJ+u2huLNz52SGHGlzxQSuP5Fl61Fejo92pCy8lRgdfRN3113MCEmuOmE6if6IvDkZaqifWaEKhVf1/tOQgePP65nPxmPCEgnvaxtWVU3oOplzExeDx5PY5/fD3KmPh+TPLlwqjjnIPJg9gTljWpo1/LhJ8r4+iMj1ETJkWYEjm/jGdc0gcPc/bQGtqWwWjrIPgQKSWxlYWtNFpBq+0Rt3xSIY0T0Yw4rXQtyWGlL+Od8AiOOzb+hUTGu00kLW6zTwK3M8X4CgkhK8Ei6zyWttnYC5KsTGTpXJVHrViFaW8HrVAjw7DnEIW38+ztbWdnNsy+rE9iOM0v92d422xn1OwnXx7EcfN4fg5j3Em7T479QIT6fTBNp5zJ6jHV8qbXOjC94xm/MZyorGkEkseUdfJjZ/yZdtRAMlN9zAtu3ErjGWeSVqgTtwAd+yE7ecB1bCvdyV7r1FtrjynT+BMCh4k39drKmqnM8jpOIrYpvQ/HuwOdUhne9MqYtA7TKONEx1ccdR5rjjjhXfjE5cyojPHHjFJHgjjGu2qVS7EMjpfjfePStWs1HStsVEoRdSJoFSFkWdhaE7d8bA0J28eNaNpLYYrlBeSXHaZj7yqyui/4HMWXSEM0lARuZ4DxpZRROkxLZBEXWSsZSSRYE/NZtmiU0AUdmMVdmGg0aG3bfxh32zC79rfzm0wL+3OGwuExth/KsNV/h8Hy+5TdDK6Xx/dLYNwj46Wm8oF4opvbdD+wppJp9Xj1OF5Z06pDPb8dn6llTW5iC8iRnMZeTRCnODJ7sdLlNLEFcGpdQl61Jel4b81Uy4HaVqmJ5R3dAllbpn/sAUfto1BTvnZqftc0r/nJ8qdNp4zjJd+dzTKOe3x1h5OXc7z3fLrlHF3W0bn4qo9PvMarx/l4fg7fuGSNj+MXYM9l6FWDhBNRdHkBUStKWCtabTWe582QNIaOiKbgxRhLRVkVO5e+4q/HvwRLbreJ6tH/IWdyeiRwO0MoFaySsMg6jw2ronidMZbGC7Sco2HFYkxrK5TK6OEhvO199P4mxm/SLezJKXKHRnAyRd4y7zFYfp9CaQDflCa0sh35hjjxhnTaP9zhpGVN6cP9JGWd6AN0Kt2MU/0APlmy0KmqCUxm6SNr8kDEm9ACpSe0BsIxH8eTnXs18XVMpzKTt2hNtaxJnz8qee7kxx0VxB3nuak8Ph0nusanWv7prMdsHX+663H0Z1vlWjc4YIJJNr5f5rB6B3ZdBKv2QUITLXUS0iFaQxba9ghpQ9z2SYYtsq5FstCGs3iE1txiSs4Yxi9LoDHB0avWzKyMOlRkHpHArcGOrElqE7aTXGStJNfayjlxj6XtY1grO/C7ukBr9Ogo7D3M2DbN+6Nt7Moqtu8YoqVY5ueZAwyWf0OxPFT9VjixFeLoD7vTdaM6Uz7c611OPctq5Df147ZAHZ22YSqfpPX6tK1TOdM5r2dCa8mZUIe5aOLqDRC0xBnlYfwSRrnkSgMc5h3MngvRq/YTi8UIlVpJhWwspWlTXpDfLWRIhRWpUoxiosD58X/H66UDweer70m0IRpGArdGG19IviW6hPNDV3Lp4igd7VGuOPsAiXUpzCXnQ7IV/f4O/DfeZ3CL4tl9i9k26hEbHePXfYfZ7v+cXGlgfPCsU205kRuDOJGa68OYhrQECnG6Gcz49W0wxsMxw4x5GUpuhsyOVcTOS5GNjuFmziLrhjAtFu0hjzbbw4pZGEJYuQWM9IxxUf4a3uFZ8qWDwNGTveYfg3SVNsJURm6L06iykHwqvITfaumklGxlebwcLGm1ohsTi0MuD/sOU3jfYddQGwfyEM/keGbHQXayhWyxD9fLgBlP9SHjL8QMmAn/hJhrqte28TDGoeymGSns4fCOMXKlHEN+ltGSR9pR5DyNUhCzfFIhSIUsFrR00BFP0RpZjFIR5PYZqKz3fKqbmDq58hoo6Ca1sa04y/wL+O0em3O6o6xMpdHnLMJ0dYLvowf6cbePsP9wG7vyETLpInsOZNnJFjLFg7heZnzchTTfCyHEiZjxdiLfL1ByRtlbfIPhfUXG9BAjTpnRMmRdjeMrbGVotQ2piCJJArcnxwpzKbYVH08Qfurju4SYLgncGmk8b1s8vJDLku2MJVIsjzssWJrHLFmMSbahslnYfYihnRF2ZuIczBoYTPNKYQdjxf2U3XSQn208aJPWEiGEOAljMMbB9wvkSgPszvyKvr5BRvQYoyWPUQeKE1rdWm1I2iE6WzpJtSSIhdpRyj7xDPx5wtRpE1MngVuDVFKAWDpKe2g5H1qsibZGWJlMEz4ngekYz9nWN4C7fZAdw23sy1n0Hxzjld5het13g6DNLwRj2iRoE0KIKamMezPGw/UyZEqHyPb6DJUOM+KUGSkacp7C8YMlsVpsQypskaIVvydPW3gZlm6hspLxfOYbVZdNTJ0Ebg2kUMRC7Zzrn8tYa4qemE/n8hxqeSdEgpxt7O5l6P0IO7JhdvTmsbIF3ldbyZUGMH6BSn42CdqEEGLqJo53c9wsh91fM7rPZViNMlp2GXWg4AW3yKg2pELQNt7qdmH0UqLh9mDN1Xne6iYtbrNPArdGUQqlwyTDS7hqWSuRZJSVLQUi57UGY9tcF90/QHFbhveH29iX8WAow2vDY4yV9gXj2qR7VAghZqwy3s34BbKlXgbzfezu38GwyTJaMqRdhWsgpH2SYWiLBK1uscVhUuElMklBNISkA2mAymLysXAXn0p8iFIywdqOLOevHcV85ApMawK9/X3cl3fy4ls9vD5oUewf4+mRtzhUfpNCqQ9jSvN+KroQQpyq4HPUUC4PcNB/HdX7IfraDmMwOH4btrJpD3t0hl1sZQFR8ibOkvg5jJUPkCsewPe8efkF2tRpRqjMqZse+aowyyYuJp8Id3F2h6ZrYYzF7VnsFe2YtjZwXdjbx+gOm91Zm0K2xKa9exkobaPkjI7napMrXQgh6iHot/BwvRzD5Z2M7XUYVYMMlcuMOVD2goXo45ahNQRJFSPS6ZMMLUaryLzuLvXrtImpk8CtITS2FadLn0cuGqc76pNa5sCSRcGEhPQYzs40e4bb2JdxCQ+n2WO2ki8P4PsFKrnahBBC1Mn4TNN8eYgd2S0MD6QZVWOky8FEBYCI9mmxIRGy6WldwjJ9ASE7gUxSELNJArfZphRKWcRC7Vxon0WkLcbSeBF7RWswk9Q3qL5BhvdG2Z2PEMsXefHw8Hi+tvGlrKS1TQgh6qoy3s3zc2RLvWR6XUa8PkbKXtDq5iuUghbL0Ba2aNOtLGxrIxbqCCYpzFPG1GcTUyeB26zTKBUhFVrC1Ssj9LTaLOlIw5KFmHgLamQY9vazbzTJgSxkh3LsVG9V87Vh5udYCiGEOO2Mwfhlym6aw+52hgbHGHOL461uGmMgavlBd6kdwix0aQ8tDyYpzNPuUh9Vl01MnQRus0iN/7OtOMv91YTa4iyJl0ktdzDdnUE36cHDlLZn2JOP0NuX5ZWBIUZL+6r52iRoE0KI06My1s2YEpniQbKDHkNmkLGyR9ZVlHwdrKYQgmTYojUe51x7NZaOIrdTMVvkSptNSmFZrSyIn8fnViYpRFv4d+f0Yl91HqarGz0wSPFfdrL57cW8N2IY6M3yq/JPyZcOY4wrQZsQQpxmxvgYv0zJGWBX+v/RO9TPHr+XvVnDYFnjoegMu/TEYLFaQKZzkLb4SrSOz8txbtJVOvskcJsllZUSbCvOYs6lPxSnJ+4TXRHGLFwQ7NQ3SO+BVnblQuhsgdfz71N20yBBmxBCzKpKYt6B/mHS/iCjZYe0AyVPYWtI2IZEyOKstiV06fOCVrd52F0qs0pnnwRus0gpi2goxepwF05LjGXxAnppGyaZhHQGs3eAnWOtHMr57Nybps/dFkxIGF8dQQghxOlXXRLLLzBQeJ/skMuYn2esZCh4GoUhYvm0hhRtVpJFrQuClRSYXwvPG4I8bvXYxNRJ4DZblKpOSrhySYjlCyMsXZiGroWgNbqvj9KOAnvyNqODeV4vbCdX7gfjSjuyEELMssp4t3x5iIH+EdKMMOa4jDng+ApbGZIhSNlhdIdDMrQYZOF5MQskcJs1GkuHOcs/l5b2GEtjDq2rPExHG5Qd2HeYwweSHMz5MJajz30Px81Ka5sQQjSKMXh+jr78Ng4OHmTYyzHmQNHXaCBhQyps0ZpqYbl1IZaOMd9uq7JW6eybX1dYAyllEbITXJRoYyicYFlrFntVe5ACJD2Gu32EXekE6aE8vxwcCxaRNyVZi1QIIRrEEKQHyZeHyAy4pBlhpOiScYNJCjHLpzWsSJo2ku1xbCtezR4wX0hX6eyTwG0WKBSWbqErehEXdEdY2WZYuraIufxiMD7qV9vZuqWTzQOa9/YN8kb5n3GcIYxflqBNCCEayBgX1x1hX/YNRoay7Pb7OZCHjKtJhnx6ooYl4SSxBSHOalmDZbVKd6k4rSRwmw1KYVlRlvnnkI7GOStWQi9tx7QmUbks7t4M+/IRsukS29x3gmS7SM42IYRotMpYt7Kb5vBQL1mGSJc8cu74MliWTzKsWRjpoCt8FrYVZz4tgSXpQGafBG6nWSUNSNROcX5rgqWLonS35mBRe5Bwd2CY3H7FwYLCzhUYKe/G9XJyJQshxJnCGFwvR29mG8V8mTHXIeuC60NYGRI2tFoRoh0WsXD7vAnaoHHpQF566SU++clP0tPTg1KKp556qub5W265BaVUzXbttdfW7DM8PMxNN91EMpmkra2NW2+9lWw2W7PPW2+9xUc/+lGi0ShLly7l/vvvn0Ft60sCt1mglEUi1MVHloXpjnm0LS5g2lLgeXCgn8NDSfoyLrt78xScEYxxpLVNCCHOEIZgAfqCM0J22CFDnkzZUPQ1SkEiBImQRSSlSdo9Mrt0FuRyOS699FIeffTR4+5z7bXXcvjw4er2j//4jzXP33TTTbz77rs899xzPP3007z00kt8/vOfrz6fTqe55pprWL58OVu2bOGBBx7g3nvv5bvf/e5pe11TYTf0t88H42lAOtVKStEYi6MlIsujEI+jMmncXWkO5BZj5Uu87e7F9fJIOkIhhDjT+Lhehn1D79Nz1iLS5SQ5zyasfeKWoTWkaA93sNK6gAP6NTyv1OgKn3aVPG6nXM4Myrjuuuu47rrrTrhPJBKhu7t70ufee+89nnnmGX7xi19w+eWXA/DII4/wu7/7uzz44IP09PTwgx/8gHK5zPe+9z3C4TAf+MAH2Lp1Kw899FBNgDfbmqLFbc+ePdx6662sXLmSWCzG2WefzT333EO5XG501U6o0k1q6Sjn2YsZtCIsbsugli3AhMOogSFGd4c4ULApj+Xp87ZXZ5IKIYQ4g4wvQJ8uHGRwtJ+065B1oOzr8WS80GLixJOR8dmlVqNrPCvqmQ6kVCqRTqdrtlJp5gHwCy+8wKJFi1i9ejVf/OIXGRoaqj63efNm2traqkEbwPr169Fa89prr1X3+djHPkY4HK7us2HDBrZv387IyMiM63WqmiJw27ZtG77v853vfId3332Xb3zjGzz22GP8+Z//eaOrdlJBGpA4H+oJk4rbpJaUoacr+JpyeIB9Iyn2DTu81jtCrtyPMZK3TQghzjSVSQqOm6UwDGmVJe1A0VeElaHFhoQVxm8rE7ZbQc2PCQr1TAfyrW99i1QqVbPdd999M6rXtddey9///d+zadMm/ut//a+8+OKLXHfddXhecI/t7e1l0aJFNcfYtk1HRwe9vb3Vfbq6umr2qfxc2acRmqKr9Nprr60ZVLhq1Sq2b9/Ot7/9bR588MEG1uwklMK2WumJ/RajoSjXpEqE156Fv2wpetduci8M8P8Gl5IfGWOr+68UywNgZDapEEKckYzB8zLsGX2LTifB/lyKmBWmoxU6wh7dsRCjbhfnRD7CO+URHDMoPSjTsHHjRu69996axyKRyIzK+sxnPlP9/4svvphLLrmEs88+mxdeeIGrr776VKrZcE3R4jaZsbExOjo6Gl2N45q4qPwKfxXRRITFiTx0jte5b5Devlb6ch4H+3IUnBFZTF4IIc5gR5bBGqQw4jPm58m44Bqwx1vdWq0oC+LthOwgLchcZ1B12SAI0pLJZM0208DtaKtWrWLhwoXs2LEDgO7ubvr7+2v2cV2X4eHh6ri47u5u+vr6avap/Hy8sXOzoSmvqh07dvDII4/wh3/4hyfcb7L+8tmkUERDKS5ItXBWR5iFC3OYZCv4Bn/fEPuyCdxsiTdLO3C9jCxvJYQQZzpjcLwsh4f3k9Vp0mWPsq9RQNyGFttCtXnEQh3zYhWFZlk54cCBAwwNDbF48WIA1q1bx+joKFu2bKnu8/zzz+P7PmvXrq3u89JLL+E4TnWf5557jtWrV9Pe3n76K30cDQ3cvvzlLx+TZ+Xobdu2bTXHHDx4kGuvvZYbb7yR22677YTl33fffTV95UuXLj2dL+dYyiZp9/DRZRaLYx6x5QoTi6HSo5R2ltiXt/EyRfrcbRi/LE3qQgjRBHy/RH92F0PZPjKOQ87V+AbitqE1ZGEnfZLWeFoQcVpks1m2bt3K1q1bAdi9ezdbt25l3759ZLNZvvSlL/Hqq6+yZ88eNm3axKc+9SnOOeccNmzYAMAFF1zAtddey2233cbrr7/Oyy+/zMaNG/nMZz5DT08PAL//+79POBzm1ltv5d133+XJJ5/kb//2b7njjjsa9bKBBo9xu/POO7nllltOuM+qVauq/3/o0CGuuuoqPvzhD08pj8pdd91Vc4LT6fTsBW9KoXWEbrOSXCTOB1oKWEtT+Eqj+gbpO9zKwbTHlkP95MuDslKCEEI0AYNBGZeCM4IzHGGsJU/GjdIaUkS1IRFStIcWsMq22Kf/H94czhRg6tRaNpPT88Ybb3DVVVdVf67c62+++Wa+/e1v89Zbb/H973+f0dFRenp6uOaaa/ja175W0/X6gx/8gI0bN3L11VejteaGG27g4Ycfrj6fSqV49tlnuf3221mzZg0LFy7k7rvvbmgqEGhw4NbZ2UlnZ+eU9j148CBXXXUVa9as4fHHH0frkzcWRiKRuvWPT59GqzCrowsYsKJ0d/RCzzlgfOgdZG8mwdBQnt36PRwvO2f/sIUQYq4xeLhenvRonvTSUcbKHSwIa1psj1Zb02LihJM5rLEonpdlLufmrMedayZlXHnllZgT3Df/9V//9aRldHR08MMf/vCE+1xyySX8/Oc/n3b9TqemGON28OBBrrzySpYtW8aDDz7IwMAAvb29DZ2OeyIKhVIhkrElXLEkxOp2RdtHWvDPOxc9OEjh5X7eHA7R4pTpy72N52WltU0IIZqFMfh+np2FlyhmyhzIlRgqK2wFCyIei6NxVJtHR/xstI7P+XFuYnY1RQf8c889x44dO9ixYwdLliypee5EEXcjaR0hafUwZMW4NFqG7g6wLBgeY3QgTn/e5Y39I7JSghBCNBmDQeHjuFly6TLZRImcE8E3jOd0Uyxq6aRLn8uQ3o7vqznbq9KortL5rCla3G655RaMMZNuZySlsHSUs/yVRFujdLfkYMH4DJT+EfqyccJlh136N7JSghBCNCNj8PwCu0bfJqvTZBxD2Si0Ilh0XkXoTCwgZCeAuZuM19Tpn5i6pgjcmlHIinNOoo3udpu2BQVMayt4Hu7+DIcLEfxsiTH3AEYS7gohRNMxBEtgjeYOMlIcIuN6FLzglhq3IWHbqJRH1G6bs0EbNE86kLlEArc6qyTejYbaWLcswoKwR7QHTCSCGkuT3weHixa7+vMUnGGkm1QIIZpTZQmsbCZPznXIuwrXQMw2tIQ0oaRPq90laUFEXUngdhooZdFqdWPHQnRGStg9CbAt1MAgfYOtHBxxeK94MBjfJt2kQgjRnMa7S0sZQ0blyLjg+DoY5xZSpELtLNHnolQI1NxsdavnIvNiaiRwOw2Usuk0SxnVUbqSOVjcAb4PfYMcyLcwPFKgz+zE8wuNrqoQQohTYPwyo5lRMmaM7Pii8xErWP6qxW8h1ZLA0mHm4u3WIF2ljTD3rqRGUxa21cr1XYtItdp0/paHv/pcVHqM4mv9bBm2CRXLDOa24fslGd8mhBBNqrJ26eH8VgrpMofzJUbKipAyLAj7dIZi5BJjRELtKGU1urpijpDArY6C/G0WYbuVZCJER9igF7dCSxw1mmGsN8pArswvegfx/CIyvk0IIZqcMbhenky6QNaUyLnBwxFtiNmajng7UTvFXJ1Zakx9NjF1ErjVnSZqp8jbYRZFHFjYFjw8OMLhdAKr4LBXb5c0IEIIMQcYgnFue8d+TVZnyToGxyhCOsjn1hZL0mp1B+Pc5iC/TpuYOgnc6ml8fdKUfRZpK0RnrAhtKQDMwREOFiL4+TJjjqQBEUKIOcO4pPO9DBf6yToeJS9oW4taENNhVkTOxdLROTtBQcwuCdzqzNJRurylLExGWJDKYxItUCpR3lfkUF6zqy9LwRlBvmMIIcTcYDCU3SyZdJ6M61DwNQaI2RCzbFpbYthWtNHVPC1kcsLsk8CtTir520JWnHMT7SxKaFq6nSB/2+gII4diHBpx2O4ekDQgQggxp/h4fhEnrcioHDkXPAMRC+K2xm9xiditzMVbroxxm31z7ypqIKVCLIyey8eXR7gwmSO8phssC/XrXWzp78AulthTehXfy0k3qRBCzBHG+Ph+nj3prfR5u+kvGHKuRavt0RnVWAnoDn0ApUJzboKCjHGbfRK41YtSQeBmlpG2wkH+ts4OcFz8/jSDJQtKDmU3g8FrdG2FEELUlU+hPIJTgIzjU/bV+ILzkAqlWKaXzelEvGL2SOBWR1rZLLMWkLHCJBcUMR1tKKeM21tipATv9xeDNCDSLiyEEHPLeFqQcsGQd13yHmgFccvQQgy7RY8n4p07DNJV2ggSuNWNxrKinJ0M0dUWItxjYZJJVDZHvt+id6zM+/lhfL/U6IoKIYQ4DXxTIpvNkjNlCuMdKxFtiFs2xUQhmFk6x2670lU6++bWFdRACoWto6zrgfYwWJ0tEInA6Bij6Thhx6VX7wHjNrqqQggh6sxgMH6ZQ2Pvk9M5Cm4wWzKsDS22RbhFE7Jb5twYNzH7JHCrF6WJ2EnccJQFERcWtAaPD44ykI9hOWXS7qHxJVKkXVgIIeYagyFfGmGsNELONZSNQitDzFa0RzuI2x2g7DkVvBlj6rKJqZPArQ6Cpa5s4vYCDhNlQaQEqQR4Hv7hDH3FMJlMmaI7ijQKCyHEXOXjenlGsv3kXI+yp9FA3IYWFWNhYsncWkGhTjncJI/b9EjgVieWbuFc/xLiiTArzxrBdHWhBgcYeNPivVH4l8FfUywPyyhMIYSYq4zB9TL4hQgDXoZhR+GhaAvBglCMnugywnZSZpaKUyKBWz0ohaXDnBVroSOmiSwCE4ui0ln60i0cHC4w4u/HGEe6SYUQYo4yGDA+uXyBgsqRd8H1FVHLELM0Ju4QslsaXc26MnXaxNRJ4FYnIbuFD3SFaQ+7WF0xCIdhNENfMYIueeScQZmYIIQQc5zBoy+7k4Kfo+CNr6Cgg3FuKuYSsYIVFObKODfpKp19dqMr0OwqS12FrRZWtGs6wmVUZxJjWTCcoa/UilWWxLtCCDFfFJ1RcvkC+aiPYxQJyydqQ1ukgxZrAUOoOdHKZKhP0CUjiKZHWtzqQKGIWwsoWCE6YkVoTwYTEwayDJYgnSkHiXeFEELMbcbgeHm8nCbv+ri+wlaGqIaYjrHIWgZK2kzEzMnVUw/KJkU3Y0RoTaYxqVYolnD6HAbSZX6dGQkS78rXCiGEmPM8v0gp51LwXIq+jaUgakHUROiMLEApPSda3IC6jNuWsd/TIy1up0opLB3j30WWQcgmca7CJFPoPXvZtyNF2HHZbl7BmJJcnEIIMccZDL6XY2f6DQbUIMOlYJxbi2Vos8MU4nks3TJnZpbKGLfZJ4HbKdNoHWZ1m6YtrrEWxsGyYHCUwWIUq1ym6IxKa5sQQswTBkOuOBwk4nUMrlGEtCFia9xofnzNUrn9ipmRrtJTpAhSgZzfASrkQ0cCtMLvHaO/1MmuwVHKbrbR1RRCCDFrgkS8mfwY+ZhHydOEtSFmWSQjbdhWDDVXJijI5IRZJ4HbKVAoUMGM0pwVYXnEhY528A1eX4kRR7NjbBjflKWbVAgh5gtj8Pwyphwi77k4JkJU+UQsaI0miNit5JSeEwnMfBnjNuukrfaUacJ2kl4/wsJICdMWzCgtDGiGcy59+gDGOI2upBBCiFlkjIOXV+SNQ9lXaCBmQULHaQm1IbdfMVNy5ZwipUK06AVklUVbvIhJJFFOmfRYjKGMQ8brxUjiXSGEmDeCFRRcyiWPoipS9oO5CFELosqmM7YUpUJzIgmvMfXZxNRJ4HYqlMK24pxjLmBVh83Cs4vQEkeNjrE7nYSyR7p0EGMk8a4QQswnBo+92V+SZoi0E8wsbbUNqVCYhZFObCve6CqeMgP4ddrE1MkYt1MUrFEao6NFodtCwYNjGYbLFpbj4npF5LIUQoh5xhjKXo5cKUPRozqzNGYr3FiZkBWnrFTTNzeZOtS/HmXMJ9LidopsK8Y5C8N0hFx0ezR4cCTDqKPxyi6+KTe2gkIIIRrC9YqYkk3BNZQ9jVaGiKUw0RIRO4ncgsVMyFVzSoIZpRcugFTYgWQcSiXMUI60A+8PFoKJCfJtQggh5hWDwffL+EWLkudTMgpLQcSCVKSNmNU2J8a4NSoB70svvcQnP/lJenp6UErx1FNP1TxvjOHuu+9m8eLFxGIx1q9fz/vvv1+zz/DwMDfddBPJZJK2tjZuvfVWstna9F1vvfUWH/3oR4lGoyxdupT7779/+pWtMwncToFCEbPaKVphktEitMZRhTzeQImRnMs+Z1gmJgghxDzlmxJOwVDwPEoeKAxRC+J2CymrC5Ru8uDN4Ndpm65cLsell17Ko48+Ounz999/Pw8//DCPPfYYr732Gi0tLWzYsIFi8ci64TfddBPvvvsuzz33HE8//TQvvfQSn//856vPp9NprrnmGpYvX86WLVt44IEHuPfee/nud787/VNVRzLGbYYqf2xx1c4wYVpbM9CagFyB4qBiOFtiUAUTEyRHjRBCzD/G+AyUDlD0z6XohQGIaIiYCEvCS3lP2k5m7LrrruO6666b9DljDN/85jf5y7/8Sz71qU8B8Pd///d0dXXx1FNP8ZnPfIb33nuPZ555hl/84hdcfvnlADzyyCP87u/+Lg8++CA9PT384Ac/oFwu873vfY9wOMwHPvABtm7dykMPPVQT4M02uWpOhdK0+wsZwSba5mESLah8nsxolJDrk/UHkIkJQggxTxmXkdxhChQpjd8KwtoQVSFUVKFUqLH1q4N6pgMplUqk0+marVQqTbtOu3fvpre3l/Xr11cfS6VSrF27ls2bNwOwefNm2traqkEbwPr169Fa89prr1X3+djHPkY4HK7us2HDBrZv387IyMhMTlddSOB2CpSKsCrcweJWi/C5CcyiRXB4gJ2jScKeR7q4X8a3CSHEPGXwyJX6GXD6GCkZDIoW2ydlh8jFRrF0tKkXmw/SgdSvq/Rb3/oWqVSqZrvvvvumXa/e3l4Aurq6ah7v6uqqPtfb28uiRYtqnrdtm46Ojpp9Jitj4u9oBOkqPQVKac5qtYnbCtUWDy69TJGhUpLdQwU8r3iyIoQQQsxhnl8kUxylGPPwjMJWhpBlYYUUWtsE7SfSMwOwceNG7r333prHIpFIYypzBpPAbaaUQiubCxdoErYPrUEyRX+kwKjTxp78AL5xZXybEELMV9U1S22Kvo9vbCwdpARpDbVh6yjT7wg8g9Rp1YNKGZFIhGQyecrldXd3A9DX18fixYurj/f19XHZZZdV9+nv7685znVdhoeHq8d3d3fT19dXs0/l58o+jSBdpadAKZtYWJOwPWgJAjd3yGGk4NFvZI1SIYSY74xxMPkQRd/F9YNuUVtBa6gFW0eafFZpfbtK62XlypV0d3ezadOm6mPpdJrXXnuNdevWAbBu3TpGR0fZsmVLdZ/nn38e3/dZu3ZtdZ+XXnoJxzlyL3/uuedYvXo17e3tda3zdEjgNmMaS4cZMqEgcItGwDeUhjQjGYe8PwSSCkQIIeY5H69kKKoSJRMEaRELwnaYkNUCqrlvw74xddmmK5vNsnXrVrZu3QoEExK2bt3Kvn37UErxx3/8x/zVX/0V//zP/8zbb7/NH/zBH9DT08P1118PwAUXXMC1117Lbbfdxuuvv87LL7/Mxo0b+cxnPkNPTw8Av//7v084HObWW2/l3Xff5cknn+Rv//ZvueOOO+p1+mZEukpnSKGwdISiskmEHEw4BPkc2UyUkaxD0R2VblIhhJjHgsXmPQaKh1ipFlMeX7Y6pCCiQrSE2xkiyOUm94vpeeONN7jqqquqP1eCqZtvvpknnniCP/3TPyWXy/H5z3+e0dFRrrjiCp555hmi0Wj1mB/84Ads3LiRq6++Gq01N9xwAw8//HD1+VQqxbPPPsvtt9/OmjVrWLhwIXfffXdDU4GABG4zolCgbBLhRQw4iq72LKYlgR4cZO9oK+12iYIzggw4FUKI+c5nuLSLEfcs0m43i4wiEYKEFeas0Lkc0L/A85t3Ils9As6ZlHHllVeecI1TpRRf/epX+epXv3rcfTo6OvjhD394wt9zySWX8POf/3za9TudJHCbIaU0MdXOwoRNtNWBSBhyBTKuRdT3gxUTJBWIEELMb+OLzRfKecoeeCbI5RbSiu5QO1rZeI2u4ymoR/OE3Cmnp7k71xtIqRCtLCAVtwi1KbBtyBfJuhbKc/FlfJsQQggIZpa6mpJn8I0KukotTSgUQilpPxHTI1fMDGll0+63Ew9rdHsILAsKRTJulKGcJzNKhRBCVBebxwlR8g2urwhpQ8TSFEIOWtlBEt4m7KGpJOA99XKa77U3kgRuM6EUStl0RVtIhn10Kho0F+dLlPwoO4aLGCPj24QQQhD0wJQ1Zc/goohpQ1hDOVLE0uGTF3AGO9E4s9ksYz6RrtIZsnSYhYkwqZAHiWCWikmXKJQ8Rr0CMjFBCCEEBLncnLJL2ffxfIWFIaTBDRewtawMIKan6QK3UqnEZZddhlKqmr+lESwdYUWbRcJ2oSUKjoOXKdObcRnVY2B8af4VQggB+GTdNCXfozz+nT6kwA7pIJdb892Kq87EBLxzXdNdLX/6p39aTY7XOJpYqIMLOgxdiTwkW1HDQxT2guX79JsdErQJIYQAwBiPgdxOcqZIbnzeWsyGhXYXrVZ3U6+eIIHb7GuqwO1f/uVfePbZZ3nwwQcbWg+FIqIT9HthYrEyhMOobJ5cNkLI9yl5aaSrVAghRMAnV0jjKIeSH9wdLAUWFgutxaB0UwdvYnY1zeSEvr4+brvtNp566ini8fiUjimVSpRKR5bwTafTdatPVCXJYRNucTHhEGosTbYYJuL7lN1cU84QEkIIcXp4fpmCW8T1waCwNUQI02l30GRtKBMYTB0aKaSHanqa4moxxnDLLbfwhS98gcsvv3zKx913332kUqnqtnTp0lOuS7BqgiZh2kgbi1ArEIlCoUS6HMZ1PDy/fMq/RwghxNzh+WVKboGSFwQptjKElcYOW6gmXa+0kg5EukpnV0Ovli9/+csopU64bdu2jUceeYRMJsNdd901rfLvuusuxsbGqtv+/fvrVHNNyk+BZaGTFiYSgWKZtGNzKO1I4CaEEOIIYzDGZaw8hGMMxgSBW0hbFMMlwGp0DWdMArfZ19Cu0jvvvJNbbrnlhPusWrWK559/ns2bNxOJ1E6bvvzyy7npppv4/ve/P+mxkUjkmGPqQSlNUkdY2KLRrRFMNAK5Ilk3yZ50Dt+UpelXCCFElW9cHMelXG1xg7DWuJESWtn4TZqEV8y+hgZunZ2ddHZ2nnS/hx9+mL/6q7+q/nzo0CE2bNjAk08+ydq1a09nFY/DojsRJmYrVGcCY1n4Q3kOF9vY5e3C90snL0IIIcS8YUwJy4mTcx1cEyaqfWKWhWeXsaworqdpxkltvoxxm3VNMTlh2bJlNT8nEgkAzj77bJYsWTLr9dHK5qxWm6hlIBYk3/XTHrmiR96M0Ix/fEIIIU4Pg0EZH6scoWx8XF+BhpCliOhosOxVkzJKArfZ1pwjIhtJKZTSnJP0Sdg+REIAOGOGfMmj5GdBlrsSQggxgcFQcsqUKOMSLE9qK2jRrU0duInZ15RXy4oVKxq8tpkmFTXELB8iYSg7lHIWw1kX18/LtwchhBDHGC33U9Zn4flqfIICRKwwWodQqKa8c8gi87OvKQO3RtPaxihFRPlg21AsUiyEKToejldsdPWEEEKccXzSzgAuTnXZK0uDtjS6STu/gixu0lU625rzamkojUKTNWFCloFQCOWUKZRD4Pn4xml0BYUQQpyBHLeAa1xcE4yE1gpCto3WNjRpLjcx+6TFbQYsHWbEs4hYLiYSgnKZnGNj4+H7LjI5QQghRA1j8PwSru8ynhEEW0FIWdh6aqsBnYlk5YTZJ4HbNCkUYbuFg0XNgngRk0yh+/oYKUVIWTk8X7pKhRBCHKvs5ci5wxS94OeoBVFl0xJqY7BJO8B8mVU66yRwm4bKcleWiuArRSTiQDgMvqHkK2IajPEliaIQQohj+Mal7DrVFjdLgVaasB1tbMVOgYxxm33NGeI3lMbWESxbY4c8sCzwPBxfYRuvLs3GQggh5haDwfddjAe+ObLQvKUUETuGUjpoHBDiJKTFbQYiKkEsrLGj40Fa2aHkK8quCVrchBBCiGP4GE/hmqBjxlIGrRRJ3U5zrlcqs0obQQK3aVJKE1Jx2qMaq9K6XSqT9zRDBR8js0qFEEJMwhgf7UdwPINnFBYQVooFqh3VhLNKDTI5oRGa70ppOIuoSdAaVlhRFbR5l8rkXdg/VkJmlAohhJiMwQdf4xpwDWhlsLQiZodRcjsWUyQtbtOklU2b30YsrNApG5wyDGYoeO0ccEbA+PLtQQghxDGMcYiWWyh5PmVfE7MMUUtR0h6qSZe98vFOuQy5Z05Pc14pDaSUplVFiYRARW2M72MKDo7rU1IluQCFEEJMyhgf1/dwjcE3CgjGuJVCxSAJbxOSrtLZJ22z06ZJRsLELYOKBQvMm5JLpuiRVxmkq1QIIcTx5L0Mnm9wDSiClCC+5UpXqZiy5gzxG0gpTSJiE9MeREOgNX7RJ110yZuRRldPCCHEGctnzBvENR4QwlIGW4EbKo0ve6WaKw+oMpKAtwEkcJsOpVBKE7EVtjYQDQfryzmGkuvj+Pnm+qMTQggxe4xPycniEcxrUwq0BmXRtC1uMsZt9kngNk0KTSRsoZUJWtwU+I7Bd31cU2p09YQQQpzBSk4RM/4FX2FQgLZAqWbM4yZj3BqhOUP8BlJKszKlidsuRKPgujhjiqStKXu5RldPCCHEGcpgKDk5Sji4JhjfFlIQ1XHCVkujqyeahLS4TZNSmlTIYGsfbAscF7esiWmD70vyXSGEEMdXdou4yj2yXqmGkIpg6QigUZimaYEyBnxTh65SGWI0LRK4TZNCE7d9QlYwOEGViriORdIysk6pEEKIE/DxjYPjOXjjtws9vtC8rSKNrdqM1Oe+1yyB6plCukpnIGoZLO0Fo0rLDo5jYSHrlAohhDgx33cJ/lXWKwUbG0uFGl21pnHvvfeilKrZzj///OrzxWKR22+/nQULFpBIJLjhhhvo6+urKWPfvn184hOfIB6Ps2jRIr70pS/huu5sv5QZkRa3aVLKImQFy5SgFMp1cT2FNhK4CSGEODGDj2d8/PFGJkXQ4tass0pNg2aVfuADH+BnP/tZ9WfbPhLO/Mmf/Ak/+clP+PGPf0wqlWLjxo18+tOf5uWXXwbA8zw+8YlP0N3dzSuvvMLhw4f5gz/4A0KhEF//+tdP+fWcbhK4zYCtwbK8oI3bdfH95vyDE0IIMbuM8fGNhz/+Pd9S42lB0ChU03Ua+g3qKrVtm+7u7mMeHxsb43/8j//BD3/4Q37nd34HgMcff5wLLriAV199lQ996EM8++yz/PrXv+ZnP/sZXV1dXHbZZXzta1/jz/7sz7j33nsJh8On/JpOJ4k4pkkpPd40a4I53L6PT5MlTRRCCDH7xntmPOPhTrhlBC1uzZkOpFHef/99enp6WLVqFTfddBP79u0DYMuWLTiOw/r166v7nn/++SxbtozNmzcDsHnzZi6++GK6urqq+2zYsIF0Os277747uy9kBqTFbZo0Gq3Btg0mEkKVSni+qjZ7CyGEEMfn1wyr0QqUUU3cVVq/FrdSqUQ6na55LhKJEInUTtxYu3YtTzzxBKtXr+bw4cN85Stf4aMf/SjvvPMOvb29hMNh2traao7p6uqit7cXgN7e3pqgrfJ85bkzXXNeKQ2klMagUNoPWtwA31e4vswqFUIIcXIeXvVuUbkJK6UaVZ1TYDDGq8sG8K1vfYtUKlWz3Xfffcf81uuuu44bb7yRSy65hA0bNvDTn/6U0dFR/uf//J+zfQIaQgK3KVLBENIgcFMKrQ1YNvgGD43rN+MfnRBCiNlWyX02MVZrxsDNEIxxq8c/gI0bNzI2Nlaz3XXXXSetR1tbG+eddx47duygu7ubcrnM6OhozT59fX3VMXHd3d3HzDKt/DzZuLkzjQRuM1A2OviD04Dv4fqKguPLrFIhhBAnZIyPMebIsOjxiQmWljFukUiEZDJZsx3dTTqZbDbLzp07Wbx4MWvWrCEUCrFp06bq89u3b2ffvn2sW7cOgHXr1vH222/T399f3ee5554jmUxy4YUX1v+F1ZmMcZsmhUXR01SXlXNcPF+TdyUdiBBCiJPzjX/MPMpmDdwakQ7kP//n/8wnP/lJli9fzqFDh7jnnnuwLIvf+73fI5VKceutt3LHHXfQ0dFBMpnkj/7oj1i3bh0f+tCHALjmmmu48MIL+exnP8v9999Pb28vf/mXf8ntt98+pUCx0SRwmyatbLKehbYMKA2uh2s0uXLQaCwZoIUQQhyPodLiFrS66fF7hs2ZnYJicvVpsJjuklcHDhzg937v9xgaGqKzs5MrrriCV199lc7OTgC+8Y1voLXmhhtuoFQqsWHDBv7u7/6uerxlWTz99NN88YtfZN26dbS0tHDzzTfz1a9+9ZRfy2yQwG2aLBXicNFCh8YvtEKJsqcYKjnS4iaEEOKkfN/D9cEnGOdmoUmQChoD5Lv/Sf3oRz864fPRaJRHH32URx999Lj7LF++nJ/+9Kf1rtqskMBtmrQKUfTNka5SY/BQlD1PZpUKIYQ4IWN8fD+4W5jxaW8KRYRoo6s2I41KwDufSeA2DUGmHU3ZVygLjNIowBg17aZeIYQQ85MxphqsaIJ7S1g15+24ksrj1MqQ++d0yKzSaVLKwscEZ04H07d9wJMLTwghxBT4Rw2r0ShCSm7HYmqaM8RvIEWQx00pgvEISmGMrHglhBBiaioTE4wJFplXSqF0cwZu9Vw5QUyNBG4zUJMoUY8vCiyRmxBCiKkYv19UbiUKsKrJQZtJY2aVzncSuE2TRgd/ZUeTxUqFEEJMgT9J7jPTfAsnAI3J4zbfNVt4f+bQgPHBcXFlMqkQQogp8WpXTmD8RtykgZuYfdLiNgOWUke6S73xad3yhUEIIcQUuMY95jFdidyUapobigHpKm0ACdxmqpLHzfcwEzJeK5Q0+wohhDihiYteBammmpMEbrOvWa+VhjAY/PHlSqqjSl3TLF+OhBBCnAkm5D5TSm4gYnqkxW2KDKY6BMGH8ayJOhjnJoQQQkzHnIjXjKyc0AASuE1TNWfNhAS8Fc3b2C2EEEJMn3SVzj6JNKbJGO9I5g/LBqXRymBJ1mshhBAnZVFZ7FriFTET0uI2TT5+ELhVvmTYQTublrncQggh5hlZq3T2SeA2Uz7j49uC5a+UxG1CCCHmGVnyavZJ4FYnGoWS7lIhhBDTZCaGP83U+mRkyatGkEhjBrQi+OPyfdDSSSqEEGLqZCKbOBXS4iaEEEI0mN+k3YXS4jb7mirs/8lPfsLatWuJxWK0t7dz/fXXz3oddOWUyaA2IYQQ85ghGONWj01MXdO0uP3v//2/ue222/j617/O7/zO7+C6Lu+8886s/X413iGqlBV0ldoE6UAILl6f+vT1CyGEmNs0umZR+SPrXcs9RJxcUwRuruvyn/7Tf+KBBx7g1ltvrT5+4YUXNqQ+fmXFK2l0E0IIMQ3Hm8TWrDMrpat09jVFV+kvf/lLDh48iNaa3/qt32Lx4sVcd911J21xK5VKpNPpmq1utKq2uAkhhBDzT9DTVI9NTF1TRB67du0C4N577+Whhx5ixYoV/Lf/9t+48sor+c1vfkNHR8ekx91333185StfqUsdgrVKfUaKuym4hq89uZjSD97AUmFsS/G2eRvPzzXttyYhhBCN06yTE8Tsa2iL25e//GWUUifctm3bhu8H0fhf/MVfcMMNN7BmzRoef/xxlFL8+Mc/Pm75d911F2NjY9Vt//79p1RfY3yyhV38ZPgxnh78Hs+NPsEzI4/z9OD32D3yL/h+6ZTKF0IIMT/MnURSfp02MVUNbXG78847ueWWW064z6pVqzh8+DBQO6YtEomwatUq9u3bd9xjI5EIkUikLnUVQgghRC0Z4zb7Ghq4dXZ20tnZedL91qxZQyQSYfv27VxxxRUAOI7Dnj17WL58+emuphBCCFF3E7NKNWtKDFnyavY1xRi3ZDLJF77wBe655x6WLl3K8uXLeeCBBwC48cYbG1w7IYQQYuomrpxgzFzpMhWzpSkCN4AHHngA27b57Gc/S6FQYO3atTz//PO0t7c3umpCCCHEKWnWyQnSVTr7miZwC4VCPPjggzz44IONrooQQgghMIBXp3LEVDVFHjchhBBCCNFELW5CCCGEOLNIV+nsk8BNCCGEEDNUj9mwErhNhwRuQgghxCwxxqdkMow5ZQ7ko5R8yJBnTI2BLP0kpkACNyGEEGIWGAzGL5At97FH7cYbWYlrPHrVTvr8XRi85stpVo9gU7pKp0UCNyGEEGKWGONSKPXSn3+XUXsfPi6Om2Ekt7MJF1s3dQk0my5YbTCZVSqEEELMEoPB98u47ij50gGKpV48N4vnZRpdtRlq3Fqljz76KCtWrCAajbJ27Vpef/31U3spTUICNyGEEGKWGYLZlMZIe9NMPPnkk9xxxx3cc889/PKXv+TSSy9lw4YN9Pf3N7pqp50EbkIIIYSYGWNOfZtB6PrQQw9x22238bnPfY4LL7yQxx57jHg8zve+9736v8YzjARuQgghhJgRU4d/0w3cyuUyW7ZsYf369dXHtNasX7+ezZs31/kVnnnm1eSEI0n+Tq1h2vM8PK92mQ8zw28NQggh5hff90/TPcRMKOv0isVi4//n1q1MYwzpdLrmsUgkQiQSqXlscHAQz/Po6uqqebyrq4tt27bVrT5nqnkVuGUylcGfpzZzZ9eu35x6ZYQQQsxLvb0H6O09cNrKz2QypFKp01Y+wGWXXcbLL7884b56ahYtWsR//+//na985Ss1j99zzz3ce++9dfkdc8W8Ctx6enrYv38/ra2tKKVO6+9Kp9MsXbqU/fv3k0wmT+vvEpOT96Cx5Pw3nrwHjTeb74ExhkwmQ09Pz2n9PRUf/vCH61rehRdeyB133FHz2NGtbQALFy7Esiz6+vpqHu/r66O7u7uudToTzavATWvNkiVLZvV3JpNJ+cBsMHkPGkvOf+PJe9B4s/UenO6WttNpsm7RyYTDYdasWcOmTZu4/vrrgaD7edOmTWzcuPE017Lx5lXgJoQQQojmd8cdd3DzzTdz+eWX88EPfpBvfvOb5HI5Pve5zzW6aqedBG5CCCGEaCr/4T/8BwYGBrj77rvp7e3lsssu45lnnjlmwsJcJIHbaRKJRLjnnnum1OwrTg95DxpLzn/jyXvQePIenD4bN26cF12jR1NmNuYNCyGEEEKIUyYJeIUQQgghmoQEbkIIIYQQTUICNyGEEEKIJiGBW53t2bOHW2+9lZUrVxKLxTj77LO55557KJfLNfu99dZbfPSjHyUajbJ06VLuv//+BtV47vnrv/5rPvzhDxOPx2lra5t0n3379vGJT3yCeDzOokWL+NKXvoTr1m/pFgGPPvooK1asIBqNsnbtWl5//fVGV2nOeumll/jkJz9JT08PSimeeuqpmueNMdx9990sXryYWCzG+vXref/99xtT2Tnovvvu47d/+7dpbW1l0aJFXH/99Wzfvr1mn2KxyO23386CBQtIJBLccMMNxySQFWIqJHCrs23btuH7Pt/5znd49913+cY3vsFjjz3Gn//5n1f3SafTXHPNNSxfvpwtW7bwwAMPcO+99/Ld7363gTWfO8rlMjfeeCNf/OIXJ33e8zw+8YlPUC6XeeWVV/j+97/PE088wd133z3LNZ27nnzySe644w7uuecefvnLX3LppZeyYcMG+vv7G121OSmXy3HppZfy6KOPTvr8/fffz8MPP8xjjz3Ga6+9RktLCxs2bKBYLM5yTeemF198kdtvv51XX32V5557DsdxuOaaa8jlctV9/uRP/oT/+3//Lz/+8Y958cUXOXToEJ/+9KcbWGvRtIw47e6//36zcuXK6s9/93d/Z9rb202pVKo+9md/9mdm9erVjajenPX444+bVCp1zOM//elPjdba9Pb2Vh/79re/bZLJZM17Imbugx/8oLn99turP3ueZ3p6esx9993XwFrND4D5p3/6p+rPvu+b7u5u88ADD1QfGx0dNZFIxPzjP/5jA2o49/X39xvAvPjii8aY4HyHQiHz4x//uLrPe++9ZwCzefPmRlVTNClpcZsFY2NjdHR0VH/evHkzH/vYxwiHw9XHNmzYwPbt2xkZGWlEFeeVzZs3c/HFF9ckatywYQPpdJp33323gTWbG8rlMlu2bGH9+vXVx7TWrF+/ns2bNzewZvPT7t276e3trXk/UqkUa9eulffjNBkbGwOofu5v2bIFx3Fq3oPzzz+fZcuWyXsgpk0Ct9Nsx44dPPLII/zhH/5h9bHe3t5jsjtXfu7t7Z3V+s1Hcv5Pr8HBQTzPm/Qcy/mdfZVzLu/H7PB9nz/+4z/mIx/5CBdddBEQvAfhcPiYMbfyHoiZkMBtir785S+jlDrhtm3btppjDh48yLXXXsuNN97Ibbfd1qCazw0zOf9CCDHbbr/9dt555x1+9KMfNboqYo6SJa+m6M477+SWW2454T6rVq2q/v+hQ4e46qqr+PCHP3zMpIPu7u5jZhNVfu7u7q5PheeY6Z7/E+nu7j5mhqOc//pZuHAhlmVNeo3L+Z19lXPe19fH4sWLq4/39fVx2WWXNahWc9PGjRt5+umneemll1iyZEn18e7ubsrlMqOjozWtbvI3IWZCArcp6uzspLOzc0r7Hjx4kKuuuoo1a9bw+OOPo3Vtw+a6dev4i7/4CxzHIRQKAfDcc8+xevVq2tvb6173uWA65/9k1q1bx1//9V/T39/PokWLgOD8J5NJLrzwwrr8jvksHA6zZs0aNm3axPXXXw8E3UebNm2al+sKNtrKlSvp7u5m06ZN1UAtnU7z2muvHXfmtZgeYwx/9Ed/xD/90z/xwgsvsHLlyprn16xZQygUYtOmTdxwww0AbN++nX379rFu3bpGVFk0s0bPjphrDhw4YM455xxz9dVXmwMHDpjDhw9Xt4rR0VHT1dVlPvvZz5p33nnH/OhHPzLxeNx85zvfaWDN5469e/eaN99803zlK18xiUTCvPnmm+bNN980mUzGGGOM67rmoosuMtdcc43ZunWreeaZZ0xnZ6e56667GlzzueNHP/qRiUQi5oknnjC//vWvzec//3nT1tZWM5NX1E8mk6le54B56KGHzJtvvmn27t1rjDHmb/7mb0xbW5v5P//n/5i33nrLfOpTnzIrV640hUKhwTWfG774xS+aVCplXnjhhZrP/Hw+X93nC1/4glm2bJl5/vnnzRtvvGHWrVtn1q1b18Bai2YlgVudPf744waYdJvoV7/6lbniiitMJBIxZ511lvmbv/mbBtV47rn55psnPf//9m//Vt1nz5495rrrrjOxWMwsXLjQ3HnnncZxnMZVeg565JFHzLJly0w4HDYf/OAHzauvvtroKs1Z//Zv/zbpNX/zzTcbY4KUIP/lv/wX09XVZSKRiLn66qvN9u3bG1vpOeR4n/mPP/54dZ9CoWD+43/8j6a9vd3E43Hz7//9v6/5Qi/EVCljjJnFBj4hhBBCCDFDMqtUCCGEEKJJSOAmhBBCCNEkJHATQgghhGgSErgJIYQQQjQJCdyEEEIIIZqEBG5CCCGEEE1CAjchhBBCiCYhgZsQQgghRJOQwE0IIYQQoklI4CaEEEII0SQkcBNCCCGEaBISuAkh6mpgYIDu7m6+/vWvVx975ZVXCIfDbNq0qYE1E0KI5ieLzAsh6u6nP/0p119/Pa+88gqrV6/msssu41Of+hQPPfRQo6smhBBNTQI3IcRpcfvtt/Ozn/2Myy+/nLfffptf/OIXRCKRRldLCCGamgRuQojTolAocNFFF7F//362bNnCxRdf3OgqCSFE05MxbkKI02Lnzp0cOnQI3/fZs2dPo6sjhBBzgrS4CSHqrlwu88EPfpDLLruM1atX881vfpO3336bRYsWNbpqQgjR1CRwE0LU3Ze+9CX+1//6X/zqV78ikUjw8Y9/nFQqxdNPP93oqgkhRFOTrlIhRF298MILfPOb3+Qf/uEfSCaTaK35h3/4B37+85/z7W9/u9HVE0KIpiYtbkIIIYQQTUJa3IQQQgghmoQEbkIIIYQQTUICNyGEEEKIJiGBmxBCCCFEk5DATQghhBCiSUjgJoQQQgjRJCRwE0IIIYRoEhK4CSGEEEI0CQnchBBCCCGahARuQgghhBBNQgI3IYQQQogmIYGbEEIIIUST+P/i9TGvSngdMgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "
"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = sim_data.plot_field(field_monitor_name=\"field\", field_name=\"E\", val=\"abs^2\", vmin=0, vmax=4000)\n",
    "ax.set_aspect(\"auto\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "b7b145b2",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}