{ "cells": [ { "cell_type": "markdown", "id": "f10c8f26", "metadata": {}, "source": [ "# 8-channel mode and polarization (de)multiplexer" ] }, { "cell_type": "markdown", "id": "106c2164", "metadata": {}, "source": [ "Note: the cost of running the entire notebook is larger than 1 FlexUnit.\n", "\n", "Mode-division multiplexing and polarization-division multiplexing on integrated photonic circuits are critical for large-bandwidth and high-speed optical communication networks. Here we introduce an 8-channel mode and polarization (de)multiplexer that is based on asymmetric directional couplers that operate on TE0 to TE3 as well as TM0 to TM3 modes. The design is based on [Wang, J., He, S. and Dai, D. (2014), On-chip silicon 8-channel hybrid (de)multiplexer enabling simultaneous mode- and polarization-division-multiplexing. Laser & Photonics Reviews, 8: L18-L22](https://onlinelibrary.wiley.com/doi/full/10.1002/lpor.201300157).\n", "\n", "The notebook is organized as the following: \n", "\n", "First, we use Tidy3D's [ModeSolver](https://docs.flexcompute.com/projects/tidy3d/en/v1.9.0rc2/_autosummary/tidy3d.plugins.ModeSolver.html?highlight=modesolver) to simulate the effective indices of the eight modes as a function of waveguide width. From the result, we can obtain the width of the bus waveguide in each directional coupler section to satisfy the phase match condition. \n", "\n", "Then, we model each directional coupler section individually to ensure good mode conversion efficiency. \n", "\n", "Lastly, once we confirm that good performance is achieved on each section, we build the whole 8-channel (de)multiplexer and simulate the whole device, which is about 200 $\\mu m$ in length. Thanks to the fast speed of Tidy3D solver, large simulations like these can be handled easily. \n", "\n", "The models in this notebook contain many waveguide bends. These bends can be defined natively in Tidy3D as demonstrated in the [Euler waveguide bend](https://docs.flexcompute.com/projects/tidy3d/en/v1.9.0rc2/notebooks/EulerWaveguideBend.html) example or the [waveguide Y junction](https://docs.flexcompute.com/projects/tidy3d/en/v1.9.0rc2/notebooks/YJunction.html) example. Alternatively, it is often easier to make use of `gdstk` as shown in the [GDSII import tutorial](https://docs.flexcompute.com/projects/tidy3d/en/v1.9.0rc2/notebooks/GDS_import.html). Here we will also demonstrate how to use `gdstk` to define the structures used in the simulation.\n", "\n", "" ] }, { "cell_type": "code", "execution_count": 1, "id": "f1046476", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T02:34:08.431113Z", "iopub.status.busy": "2023-02-03T02:34:08.430662Z", "iopub.status.idle": "2023-02-03T02:34:10.095793Z", "shell.execute_reply": "2023-02-03T02:34:10.095345Z" } }, "outputs": [ { "data": { "text/html": [ "
[20:34:09] WARNING  This version of Tidy3D was pip installed from the 'tidy3d-beta' repository on   __init__.py:103\n",
       "                    PyPI. Future releases will be uploaded to the 'tidy3d' repository. From now on,                \n",
       "                    please use 'pip install tidy3d' instead.                                                       \n",
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\n" ], "text/plain": [ "\u001b[2;36m[20:34:09]\u001b[0m\u001b[2;36m \u001b[0m\u001b[31mWARNING \u001b[0m This version of Tidy3D was pip installed from the \u001b[32m'tidy3d-beta'\u001b[0m repository on \u001b]8;id=594279;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/__init__.py\u001b\\\u001b[2m__init__.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=895082;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/__init__.py#103\u001b\\\u001b[2m103\u001b[0m\u001b]8;;\u001b\\\n", "\u001b[2;36m \u001b[0m PyPI. Future releases will be uploaded to the \u001b[32m'tidy3d'\u001b[0m repository. From now on, \u001b[2m \u001b[0m\n", "\u001b[2;36m \u001b[0m please use \u001b[32m'pip install tidy3d'\u001b[0m instead. \u001b[2m \u001b[0m\n" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
           INFO     Using client version: 1.9.0rc1                                                  __init__.py:121\n",
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\n" ], "text/plain": [ "\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0m\u001b[34mINFO \u001b[0m Using client version: \u001b[1;36m1.9\u001b[0m.0rc1 \u001b]8;id=337653;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/__init__.py\u001b\\\u001b[2m__init__.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=340613;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/__init__.py#121\u001b\\\u001b[2m121\u001b[0m\u001b]8;;\u001b\\\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from matplotlib.gridspec import GridSpec\n", "import gdstk\n", "\n", "import tidy3d as td\n", "import tidy3d.web as web\n", "from tidy3d.plugins import ModeSolver" ] }, { "cell_type": "markdown", "id": "7bb676ae", "metadata": {}, "source": [ "The [ModeSolver](https://docs.flexcompute.com/projects/tidy3d/en/v1.9.0rc2/_autosummary/tidy3d.plugins.ModeSolver.html?highlight=modesolver) will check if the solved mode fields decay at the boundaries. When the field does not decay, a warning will be thrown. When we solve for more modes than the waveguide can support, spurious modes will appear and their fields most likely won't decay at the boundaries. We set the logging level to `error` mainly to avoid these warnings. \n", "\n", "In general, we do not recommend setting the logging level to `\"error\"` since most warnings are informative and can help troubleshoot your simulations." ] }, { "cell_type": "code", "execution_count": 2, "id": "c5c1d71d", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T02:34:10.098289Z", "iopub.status.busy": "2023-02-03T02:34:10.098011Z", "iopub.status.idle": "2023-02-03T02:34:10.100188Z", "shell.execute_reply": "2023-02-03T02:34:10.099817Z" } }, "outputs": [], "source": [ "td.config.logging_level = \"error\"" ] }, { "cell_type": "markdown", "id": "a7d335b5", "metadata": {}, "source": [ "## Mode Indices Calculation" ] }, { "cell_type": "markdown", "id": "5e4cae7f", "metadata": {}, "source": [ "To obtain the width of the bus waveguide in each asymmetric directional coupler, we need to first calculate the relationship between the effective indices of each mode and the waveguide width. This can be achieved by using the [ModeSolver](https://docs.flexcompute.com/projects/tidy3d/en/v1.9.0rc2/_autosummary/tidy3d.plugins.ModeSolver.html?highlight=modesolver) from Tidy3D's plugins. This computation will be done on a local computer so it won't cost any FlexUnits.\n", "\n", "For the entire notebook, we will focus on the central wavelength of 1550 nm and a wavelength range from 1500 nm to 1600 nm.\n", "\n", "" ] }, { "cell_type": "code", "execution_count": 3, "id": "d91ebe00", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T02:34:10.102279Z", "iopub.status.busy": "2023-02-03T02:34:10.102121Z", "iopub.status.idle": "2023-02-03T02:34:10.104789Z", "shell.execute_reply": "2023-02-03T02:34:10.104452Z" } }, "outputs": [], "source": [ "lda0 = 1.55 # central wavelength\n", "ldas = np.linspace(1.5, 1.6, 101) # wavelength range of interest\n", "\n", "freq0 = td.C_0 / lda0 # corresponding central frequency\n", "freqs = td.C_0 / ldas # corresponding frequency range\n", "\n", "fwidth = 0.5 * (np.max(freqs) - np.min(freqs)) # width of the excitation spectrum" ] }, { "cell_type": "markdown", "id": "2b036b2a", "metadata": {}, "source": [ "The structure is Si waveguide on silica substrate and top cladding. Therefore, we only need to define two materials. Within the wavelength range of interest, they can be considered lossless and dispersionless." ] }, { "cell_type": "code", "execution_count": 4, "id": "5b23e8e9", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T02:34:10.106823Z", "iopub.status.busy": "2023-02-03T02:34:10.106665Z", "iopub.status.idle": "2023-02-03T02:34:10.108987Z", "shell.execute_reply": "2023-02-03T02:34:10.108630Z" } }, "outputs": [], "source": [ "n_si = 3.48 # silicon refractive index\n", "si = td.Medium(permittivity=n_si**2)\n", "\n", "n_sio2 = 1.44 # silicon oxide refractive index\n", "sio2 = td.Medium(permittivity=n_sio2**2)" ] }, { "cell_type": "markdown", "id": "31f7f875", "metadata": {}, "source": [ "The thickness of the waveguide is the standard 220 nm, which we will use throughout the notebook.\n", "\n", "Here we calculate the effective indices for the four TE modes (TE0-TE3) and the four TM modes (TM0-TM3) for waveguide width from 300 nm to 2500 nm." ] }, { "cell_type": "code", "execution_count": 5, "id": "472af715", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T02:34:10.110987Z", "iopub.status.busy": "2023-02-03T02:34:10.110833Z", "iopub.status.idle": "2023-02-03T02:34:10.112943Z", "shell.execute_reply": "2023-02-03T02:34:10.112605Z" } }, "outputs": [], "source": [ "h = 0.22 # waveguide thickness\n", "ws = np.linspace(0.3, 2.5, 30) # range of waveguide width" ] }, { "cell_type": "markdown", "id": "55b3bd07", "metadata": {}, "source": [ "Define [ModeSpec](https://docs.flexcompute.com/projects/tidy3d/en/v1.9.0rc2/_autosummary/tidy3d.ModeSpec.html?highlight=modespec), [GridSpec](https://docs.flexcompute.com/projects/tidy3d/en/v1.9.0rc2/_autosummary/tidy3d.GridSpec.html), and [BoudnarySpec](https://docs.flexcompute.com/projects/tidy3d/en/v1.9.0rc2/_autosummary/tidy3d.BoundarySpec.html?highlight=boundaryspec) for the simulations. The number of modes is set to 4 to make sure TE0-TE3 (TM0-TM3) modes are always included, even though when the waveguide width is small, not all modes are supported. " ] }, { "cell_type": "code", "execution_count": 6, "id": "3fbb79f9", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T02:34:10.114890Z", "iopub.status.busy": "2023-02-03T02:34:10.114740Z", "iopub.status.idle": "2023-02-03T02:34:10.117647Z", "shell.execute_reply": "2023-02-03T02:34:10.117276Z" } }, "outputs": [], "source": [ "N_mode = 4 # number of modes\n", "\n", "# define mode spec\n", "mode_spec = td.ModeSpec(num_modes=N_mode, target_neff=n_si)\n", "\n", "# define grid spec\n", "grid_spec = td.GridSpec.auto(min_steps_per_wvl=30, wavelength=lda0)\n", "\n", "# define boundary spec\n", "bound_spec = td.BoundarySpec.all_sides(boundary=td.PML())" ] }, { "cell_type": "markdown", "id": "faee33d5", "metadata": {}, "source": [ "The waveguide structure has a mirror symmetry with respect to the $xy$ plane. In this case, the TE and TM modes share different symmetries. Therefore, we can solve for the TE and TM separately by imposing the corresponding symmetry in the simulation. This way, the result looks cleaner.\n", "\n", "First, we use the `(0,0,1)` symmetry to get the effective indices of the TE modes. A for loop will be used to iterate over different waveguide widths. At each iteration, the effective indices of the first four TE modes will be calculated." ] }, { "cell_type": "code", "execution_count": 7, "id": "a8765bc5", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T02:34:10.119558Z", "iopub.status.busy": "2023-02-03T02:34:10.119408Z", "iopub.status.idle": "2023-02-03T02:34:37.296002Z", "shell.execute_reply": "2023-02-03T02:34:37.295498Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ 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"/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] } ], "source": [ "n_eff = np.zeros((len(ws), N_mode)) # placeholder for the effective indices\n", "\n", "# loop over the waveguide width and compute the effective indices at each iteration\n", "for i, w in enumerate(ws):\n", "\n", " # define the waveguide structure\n", " waveguide = td.Structure(geometry=td.Box(center=(0, 0, 0), size=(w, td.inf, h)), medium=si)\n", "\n", " sim_size = (6 * w, 0, 8 * h) # simulation domain size\n", "\n", " # define simulation\n", " sim = td.Simulation(\n", " size=sim_size,\n", " grid_spec=grid_spec,\n", " structures=[waveguide],\n", " sources=[],\n", " monitors=[],\n", " run_time=1e-11,\n", " boundary_spec=bound_spec,\n", " medium=sio2,\n", " symmetry=(0, 0, 1),\n", " )\n", "\n", " # define mode solver\n", " mode_solver = ModeSolver(\n", " simulation=sim,\n", " plane=td.Box(center=(0, 0, 0), size=sim_size),\n", " mode_spec=mode_spec,\n", " freqs=[freq0],\n", " )\n", "\n", " # solve for the modes\n", " mode_data = mode_solver.solve()\n", "\n", " # obtain the effective indices\n", " n_eff[i] = mode_data.n_eff.values" ] }, { "cell_type": "markdown", "id": "1a2ffc2d", "metadata": {}, "source": [ "After the indices are solved, we can plot them for visualization." ] }, { "cell_type": "code", "execution_count": 8, "id": "87edbe05", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T02:34:37.298396Z", "iopub.status.busy": "2023-02-03T02:34:37.298225Z", "iopub.status.idle": "2023-02-03T02:34:37.509922Z", "shell.execute_reply": "2023-02-03T02:34:37.509499Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Effective index')" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot the effective indices for each TE mode\n", "for i in range(N_mode):\n", " plt.plot(ws, n_eff[:, i])\n", "\n", "plt.ylim(1.6, 3)\n", "plt.legend((\"TE0\", \"TE1\", \"TE2\", \"TE3\"))\n", "plt.xlabel(\"Waveguide width ($\\mu m$)\")\n", "plt.ylabel(\"Effective index\")" ] }, { "cell_type": "markdown", "id": "0afcedf6", "metadata": {}, "source": [ "A similar calculation and visualization will be performed for the first TM modes. We simply change the symmetry to `(0,0,-1)` in this case." ] }, { "cell_type": "code", "execution_count": 9, "id": "6d0d4c36", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T02:34:37.512157Z", "iopub.status.busy": "2023-02-03T02:34:37.511992Z", "iopub.status.idle": "2023-02-03T02:35:07.817119Z", "shell.execute_reply": "2023-02-03T02:35:07.816632Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] } ], "source": [ "for i, w in enumerate(ws):\n", "\n", " waveguide = td.Structure(geometry=td.Box(center=(0, 0, 0), size=(w, td.inf, h)), medium=si)\n", "\n", " sim_size = (6 * w, 0, 8 * h)\n", "\n", " sim = td.Simulation(\n", " size=sim_size,\n", " grid_spec=grid_spec,\n", " structures=[waveguide],\n", " sources=[],\n", " monitors=[],\n", " run_time=1e-11,\n", " boundary_spec=bound_spec,\n", " medium=sio2,\n", " symmetry=(0, 0, -1),\n", " )\n", "\n", " mode_solver = ModeSolver(\n", " simulation=sim,\n", " plane=td.Box(center=(0, 0, 0), size=sim_size),\n", " mode_spec=mode_spec,\n", " freqs=[freq0],\n", " )\n", "\n", " mode_data = mode_solver.solve()\n", "\n", " n_eff[i] = mode_data.n_eff.values" ] }, { "cell_type": "code", "execution_count": 10, "id": "47be99c5", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T02:35:07.819389Z", "iopub.status.busy": "2023-02-03T02:35:07.819220Z", "iopub.status.idle": "2023-02-03T02:35:07.941694Z", "shell.execute_reply": "2023-02-03T02:35:07.941297Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Effective index')" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for i in range(N_mode):\n", " plt.plot(ws, n_eff[:, i])\n", "\n", "plt.ylim(1.6, 2.2)\n", "plt.legend((\"TM0\", \"TM1\", \"TM2\", \"TM3\"))\n", "plt.xlabel(\"Waveguide width ($\\mu m$)\")\n", "plt.ylabel(\"Effective index\")" ] }, { "cell_type": "markdown", "id": "1d8730c7", "metadata": {}, "source": [ "The input waveguides are designed to be around 400 nm in width. From the plots above, we can determine the bus waveguide width for each asymmetric directional coupler by looking for the width with the same effective index as the 400 nm waveguide. " ] }, { "cell_type": "markdown", "id": "ef50c9a1", "metadata": {}, "source": [ "## Individual Directional Coupler" ] }, { "cell_type": "markdown", "id": "2fbc13fa", "metadata": {}, "source": [ "In this section, we model six asymmetric directional couplers. The first three couplers convert the TE0 mode to the TE1, TE2, TE3 modes. The last three convert the TM0 to the TM1, TM2, and TM3 modes. \n", "\n", "The coupling length of each coupler needs to be optimized for the best efficiency coupling. This can be done by performing a parameter scan over the coupling length. Parameter scans have been demonstrated in various examples such as the [MMI power splitter](https://docs.flexcompute.com/projects/tidy3d/en/v1.9.0rc2/notebooks/MMI_1x4.html) and the [parameter scan tutorial](https://docs.flexcompute.com/projects/tidy3d/en/v1.9.0rc2/notebooks/ParameterScan.html). For the sake of simplicity, we only perform simulations on the optimized parameter values reported in the referenced literature.\n", "\n", "" ] }, { "cell_type": "markdown", "id": "89c9ae3f", "metadata": {}, "source": [ "### Infrastructure Setup" ] }, { "cell_type": "markdown", "id": "d8690ac1", "metadata": {}, "source": [ "The asymmetric directional coupler consists of an access waveguide and a bus waveguide. The bending part is given by a cosine function. The horizontal and vertical lengths of the waveguide bend are fixed to be $B_x = 10 \\mu m$ $B_y = 1 \\mu m$. This ensures the loss at the bend is small." ] }, { "cell_type": "code", "execution_count": 11, "id": "f9db0f4e", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T02:35:07.944149Z", "iopub.status.busy": "2023-02-03T02:35:07.943978Z", "iopub.status.idle": "2023-02-03T02:35:07.946168Z", "shell.execute_reply": "2023-02-03T02:35:07.945802Z" } }, "outputs": [], "source": [ "Bx = 10 # horizontal length of the waveguide bend\n", "By = 1 # verticel length of the waveguide bend" ] }, { "cell_type": "markdown", "id": "f6de46e8", "metadata": {}, "source": [ "We define a function to construct the entire directional coupler simulation. This function will be used repeatedly to simulate six directional couplers. Within this function, we use `gdstk` to construct the structures." ] }, { "cell_type": "code", "execution_count": 12, "id": "fd3a2d41", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T02:35:07.948231Z", "iopub.status.busy": "2023-02-03T02:35:07.948076Z", "iopub.status.idle": "2023-02-03T02:35:07.960770Z", "shell.execute_reply": "2023-02-03T02:35:07.960404Z" } }, "outputs": [], "source": [ "def make_sim(pol, w_access, w_bus, gap, l_couple):\n", "\n", " # construct the access waveguide including the bends\n", " y = By + (w_access + w_bus) / 2 + gap\n", " access_wg = gdstk.RobustPath((-3 * l_couple, y), w_access, simple_path=True, layer=1, datatype=0)\n", " access_wg.segment((-l_couple / 2 - Bx, y))\n", " access_wg.segment((-l_couple / 2, y), offset=lambda u: (np.cos(u * np.pi) - 1) * By / 2)\n", " access_wg.segment((l_couple / 2, y))\n", " access_wg.segment((l_couple / 2 + Bx, y), offset=lambda u: (np.cos((1 - u) * np.pi) - 1) * By / 2)\n", " access_wg.segment((3 * l_couple, y))\n", "\n", " # construct the bus waveguide\n", " bus_wg = gdstk.FlexPath([(-3 * l_couple, 0), (3 * l_couple, 0)], w_bus, layer=1, datatype=1)\n", "\n", " # define a cell\n", " cell = gdstk.Cell(\"directional_coupler\")\n", " cell.add(access_wg)\n", " cell.add(bus_wg)\n", "\n", " # construct a list of polyslab from the cell\n", " DC = td.PolySlab.from_gds(\n", " cell,\n", " gds_layer=1,\n", " axis=2,\n", " slab_bounds=(-h / 2, h / 2),\n", " )\n", " # define access waveguide and bus waveguide structures\n", " access_wg = td.Structure(geometry=DC[0], medium=si)\n", " bus_wg = td.Structure(geometry=DC[1], medium=si)\n", "\n", " # y coordinate of the access waveguide input\n", " y_in = (w_access + w_bus) / 2 + gap + By\n", "\n", " # simulation domain size\n", " Lx = l_couple + 2 * Bx + lda0\n", " Ly = 2 * (y_in + lda0)\n", " Lz = 10 * h\n", " sim_size = (Lx, Ly, Lz)\n", "\n", " # symmetry for each polarization\n", " if pol == \"TE\":\n", " symmetry = symmetry = (0, 0, 1)\n", " elif pol == \"TM\":\n", " symmetry = symmetry = (0, 0, -1)\n", " else:\n", " symmetry = symmetry = (0, 0, 0)\n", "\n", " # define a mode source to lauch either te0 or tm0 mode to the access waveguide\n", " mode_source = td.ModeSource(\n", " center=(-Lx / 2 + lda0 / 2, y_in, 0),\n", " size=(0, 6 * w_access, 8 * h),\n", " source_time=td.GaussianPulse(freq0=freq0, fwidth=fwidth),\n", " direction=\"+\",\n", " mode_spec=td.ModeSpec(num_modes=1, target_neff=n_si),\n", " mode_index=0,\n", " )\n", "\n", " # define a flux monitor to measure the transmission to the bus waveguide\n", " bus_flux_monitor = td.FluxMonitor(\n", " center=(Lx / 2 - lda0 / 2, 0, 0),\n", " size=(0, 2 * w_bus, 6 * h),\n", " freqs=freqs,\n", " name=\"bus_flux\",\n", " )\n", "\n", " # define a field monitor to visualize the field distribution in the xy plane\n", " field_monitor = td.FieldMonitor(\n", " center=(0, 0, 0), size=(td.inf, td.inf, 0), freqs=[freq0], name=\"field\"\n", " )\n", "\n", " # define a mode monitor to check the mode composition at the bus waveguide\n", " bus_mode_monitor = td.ModeMonitor(\n", " center=(Lx / 2 - lda0 / 2, 0, 0),\n", " size=(0, 2 * w_bus, 6 * h),\n", " freqs=freqs,\n", " mode_spec=td.ModeSpec(num_modes=4, target_neff=n_si),\n", " name=\"bus_mode\",\n", " )\n", "\n", " run_time = 2e-12 # simulation run time\n", "\n", " # define simulation\n", " sim = td.Simulation(\n", " size=sim_size,\n", " grid_spec=td.GridSpec.auto(min_steps_per_wvl=15, wavelength=lda0),\n", " structures=[access_wg, bus_wg],\n", " sources=[mode_source],\n", " monitors=[bus_flux_monitor, field_monitor, bus_mode_monitor],\n", " run_time=run_time,\n", " boundary_spec=td.BoundarySpec.all_sides(\n", " boundary=td.PML()\n", " ), # pml is applied to all boundaries\n", " medium=sio2, # the background medium is set to sio2 to model the substrate and top cladding\n", " symmetry=symmetry,\n", " )\n", "\n", " return sim" ] }, { "cell_type": "markdown", "id": "03f64040", "metadata": {}, "source": [ "Lastly, we create a dictionary to store the optimized design parameters. The values are taken from the [reference](https://onlinelibrary.wiley.com/doi/full/10.1002/lpor.201300157)." ] }, { "cell_type": "code", "execution_count": 13, "id": "d74e527a", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T02:35:07.962912Z", "iopub.status.busy": "2023-02-03T02:35:07.962742Z", "iopub.status.idle": "2023-02-03T02:35:07.966085Z", "shell.execute_reply": "2023-02-03T02:35:07.965717Z" } }, "outputs": [], "source": [ "design_params = {\n", " 'TM1': {\n", " 'w_access': 0.4,\n", " 'w_bus': 1.035,\n", " 'gap': 0.3,\n", " 'l_couple': 4.6\n", " },\n", " 'TM2': {\n", " 'w_access': 0.4,\n", " 'w_bus': 1.695,\n", " 'gap': 0.3,\n", " 'l_couple': 6.8\n", " },\n", " 'TM3': {\n", " 'w_access': 0.4,\n", " 'w_bus': 2.363,\n", " 'gap': 0.3,\n", " 'l_couple': 9\n", " },\n", " 'TE1': {\n", " 'w_access': 0.4,\n", " 'w_bus': 0.835,\n", " 'gap': 0.2,\n", " 'l_couple': 15.5\n", " },\n", " 'TE2': {\n", " 'w_access': 0.406,\n", " 'w_bus': 1.29,\n", " 'gap': 0.2,\n", " 'l_couple': 21.3\n", " },\n", " 'TE3': {\n", " 'w_access': 0.379,\n", " 'w_bus': 1.631,\n", " 'gap': 0.2,\n", " 'l_couple': 17.6\n", " }\n", "}" ] }, { "cell_type": "markdown", "id": "7342b080", "metadata": {}, "source": [ "### TE0 to TE3 Convertion " ] }, { "cell_type": "markdown", "id": "b2a93abe", "metadata": {}, "source": [ "With the infrastructure setup above, we are ready to perform simulations for the six directional couplers. First, we model the TE0 to TE3 coupler." ] }, { "cell_type": "markdown", "id": "ae49da09", "metadata": {}, "source": [ "#### Simulation Setup " ] }, { "cell_type": "markdown", "id": "9ac89966", "metadata": {}, "source": [ "We use the `make_sim` function to define the simulation given the access waveguide width, the bus waveguide width, the coupling regime length, and the polarization. Using the `plot` function, we can visualize the simulation setup. " ] }, { "cell_type": "code", "execution_count": 14, "id": "2cb1520e", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T02:35:07.968299Z", "iopub.status.busy": "2023-02-03T02:35:07.968159Z", "iopub.status.idle": "2023-02-03T02:35:08.138413Z", "shell.execute_reply": "2023-02-03T02:35:08.137998Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sim = make_sim(\"TE\", **design_params['TE3'])\n", "\n", "ax = sim.plot(z=0)\n", "ax.set_aspect(\"auto\")" ] }, { "cell_type": "markdown", "id": "7066812b", "metadata": {}, "source": [ "Before submitting the simulation job to the server, we can use the `ModeSolver` again to visualize the first four TE modes supported in the bus waveguide." ] }, { "cell_type": "code", "execution_count": 15, "id": "9bdf420f", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T02:35:08.140565Z", "iopub.status.busy": "2023-02-03T02:35:08.140398Z", "iopub.status.idle": "2023-02-03T02:35:08.628399Z", "shell.execute_reply": "2023-02-03T02:35:08.627983Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] } ], "source": [ "# define mode solver\n", "mode_solver = ModeSolver(\n", " simulation=sim,\n", " plane=td.Box(\n", " center=sim.monitors[0].center,\n", " size=sim.monitors[0].size,\n", " ),\n", " mode_spec=td.ModeSpec(num_modes=4, target_neff=n_si),\n", " freqs=[freq0],\n", ")\n", "\n", "mode_data = mode_solver.solve()" ] }, { "cell_type": "markdown", "id": "18409320", "metadata": {}, "source": [ "For the TE modes, the dominant electric field is in the $y$ direction. Here we visualize $E_y$ for the four modes." ] }, { "cell_type": "code", "execution_count": 16, "id": "45f0446a", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T02:35:08.630594Z", "iopub.status.busy": "2023-02-03T02:35:08.630438Z", "iopub.status.idle": "2023-02-03T02:35:09.264112Z", "shell.execute_reply": "2023-02-03T02:35:09.263668Z" } }, "outputs": [ { "data": { "image/png": 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     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "550f6a0fb8b54781947b84aae03443b7",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "
\n",
       "
\n" ], "text/plain": [ "\n", "\u001b[?25h" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "job = web.Job(simulation=sim, task_name=\"evanescent_coupler_te3\")\n", "sim_data = job.run(path=\"data/simulation_data.hdf5\")" ] }, { "cell_type": "markdown", "id": "03fb721c", "metadata": {}, "source": [ "#### Postprocessing and Visualization" ] }, { "cell_type": "markdown", "id": "36d98510", "metadata": {}, "source": [ "After the simulation is complete, we can visualize the field intensity distribution, the transmission to the bus waveguide, and the mode composition at the bus waveguide. Since similar postprocessing and visualization will be performed for other directional couplers, we define a function here." ] }, { "cell_type": "code", "execution_count": 18, "id": "3cfe4651", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T02:38:01.837030Z", "iopub.status.busy": "2023-02-03T02:38:01.836913Z", "iopub.status.idle": "2023-02-03T02:38:01.841424Z", "shell.execute_reply": "2023-02-03T02:38:01.841079Z" } }, "outputs": [], "source": [ "def postprocess(sim_data, pol):\n", " fig = plt.figure(constrained_layout=True)\n", "\n", " gs = GridSpec(2, 2, figure=fig)\n", " ax1 = fig.add_subplot(gs[0, :])\n", " ax2 = fig.add_subplot(gs[1, 0])\n", " ax3 = fig.add_subplot(gs[1, 1])\n", "\n", " sim_data.plot_field(\"field\", \"int\", f=freq0, ax=ax1)\n", " ax1.set_aspect(\"auto\")\n", "\n", " T_bus = sim_data[\"bus_flux\"].flux\n", "\n", " ax2.plot(ldas, T_bus)\n", " ax2.set_xlim(1.5, 1.6)\n", " ax2.set_ylim(0, 1)\n", " ax2.set_xlabel(\"Wavelength ($\\mu$m)\")\n", " ax2.set_ylabel(\"Transmission to bus waveguide\")\n", "\n", " mode_amp = sim_data[\"bus_mode\"].amps.sel(direction=\"+\")\n", " mode_power = np.abs(mode_amp) ** 2 / T_bus\n", " ax3.plot(ldas, mode_power)\n", " ax3.set_xlim(1.5, 1.6)\n", " ax3.set_xlabel(\"Wavelength ($\\mu$m)\")\n", " ax3.set_ylabel(\"Mode fraction\")\n", " ax3.legend((f\"{pol}0\", f\"{pol}1\", f\"{pol}2\", f\"{pol}3\"))" ] }, { "cell_type": "markdown", "id": "9fff099c", "metadata": {}, "source": [ "From the field intensity distribution, we can see an efficient conversion of the TE0 mode at the access waveguide to the TE3 mode at the bus waveguide. The transmission spectrum also confirms a high transmission around 95% at 1550 nm. The mode composition shows a nearly pure TE3 mode at the bus waveguide." ] }, { "cell_type": "code", "execution_count": 19, "id": "0319f06d", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T02:38:01.843545Z", "iopub.status.busy": "2023-02-03T02:38:01.843378Z", "iopub.status.idle": "2023-02-03T02:38:03.722466Z", "shell.execute_reply": "2023-02-03T02:38:03.721974Z" } }, "outputs": [ { "data": { "image/png": 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5zGKxsFatWrF+/fqxuXPnsvLyck3dJUuWsPPOO0+pN3ToULZmzRplf3FxMRs5ciRLSEhgAJRUOfr0ODLLly9X2ktJSWG33HILO3bsmKbOuHHjWFxcnMf5zZkzhwVyC/vhhx/YBRdcwGJiYlh2djZ78MEH2ddff+1hT1VVFbv55ptZcnIyA+AzVc7QoUO9prqZM2eOX5v8IQgCmz9/PmvXrh0zm83s3HPPZf/73/886smpgwoKCjTlp0+fZpMmTWKtW7dmsbGxbOjQoV6/o5988gnr06cPs1gsLCcnhz322GPMbrc3+BwIgmge0BJ+BEEQBEEQhCE0RpEgCIIgCIIwhIQiQRAEQRAEYQgJRYIgCIIgCMIQEooEQRAEQRCEISQUCYIgCIIgCENIKBIEQRAEQRCGtLiE26Io4vjx40hISAh6yS6CIAiCICQYY6isrER2djZ4vun6nQRBwP0PjMGNN9ynWdmICIwWl0fx2LFjyM3NDbcZBEEQBNEsOHr0KHJycsJthleWLHkYU6Y8h169OuLnn/c0aVHbFGlxQrG8vNy19BoPgDyKBEEQBFE/GAARZWVlSEpKCrcxhtTU1KBz53aYN28S5s1bhrlzJ2LcuPnhNiuiaHGhZ3e4mQMJRYIgCIJoGE15GNeLC+9FVlZr3Hb75YiONuHRR/+DG298HDExMeE2LWIg/ytBEARBEM2OEydO4Nln3sXTz0wFz/MYM/ZSpKUlYeFLM8JtWkRBQpEgCIIgiGbH3Ll/w5AhvTBsWB8AAM/zePqZqXh6wds4efJkeI2LIEgoEgRBEATRrNi3bx/++9+VWPD0FE35JZf0xYUX9sDf/z41TJZFHi1uMktFRYVr0K0JNEaRIAiCIOoLAyCgvLwciYmJ4TZGw3XXDUXr1ol4bfH9Hvt27SrABQOnYteu3ejYsWMYrIssItqj+PTTT4PjOMyYMSPcphAEQRAE0QQ4evQoPv30e8x5YoLh/h498nDttRfjn4sePsuWRSYRO+t569at+Ne//oVevXqF2xSCIAiCIJoIdXV1iI6OQmZ6MiCKhnVyc9NQXt40U/o0NSLSo1hVVYVbbrkF//73v9GqVSufdW02GyoqKjQvgiAIgiCaOU6n95cXAUl4EpFCcfr06Rg5ciTy8/P91l2wYAGSkpKUF63KQhAEQRAtAMZ8vMJtXOQQcaHn9957D9u3b8fWrVsDqj9r1izMnDlT2a6oqCCxSBAEQRDNHafT+z5GHsVAiSihePToUdx7771Ys2YNrFZrQMdYLBZYLJZGtowgCIIgiCaFL6FIoeeAiSihuG3bNpSWlqJv375KmSAI2LhxIxYtWgSbzQaTyRRGCwmCIAiCaBL4EoMtKzNgg4gooXjppZdi586dmrIJEyaga9eueOihh0gkEgRBEAQBgIETvHsUOfIoBkxECcWEhAT06NFDUxYXF4fWrVt7lBMEQRAE0YJxCt73ieRRDJSIEooEQRAEQRB+YaDQc4iIeKG4YcOGcJtAEARBEERTw0fomWY9B07EC0WCIAiCIAgPfIWXyaEYMCQUCYIgCIJofvhLj8OdPVMiGRKKBEEQBEE0OzjBx2QWRkIxUEgoEgRBEATR/KDJLCGBhCJBEARBEM0Pf+lxKPVyQJBQJAiCIAii+UFL+IUEEooEQRAEQTQ/KLwcEkgoEgRBEATRzGB+Qs/kUQwUEooEQRAEQTQvGCj0HCJIKBIEQRAE0fyghNshgYQiQRAEQRDND195FMmjGDAkFAmCIAiCaH5QHsWQQEKRIAiCIIjmh788ikRAkFAkCIIgCKL54W8JPyIgSCgSBEEQBNH8oMksIYGEIkEQBEEQzQ8KPYcEEooBwoEDOM5zR5ADYhn9jCEIgiCIxsfpI7xMQjFgSCgGCmcCx0W7NtRfPum9fwEo1eOgEps6kUkikiAIgiBCAAPNeg4RJBQDJMqUCEt0MhhEMNcgWMZEMIgQRSfU4pHpBsm6jxFU+0WAgzKgloGBg+5LbfBFJjFJEARBEP5ggEBCMRSQUCQIgiAIovnhczILCcVAIaEYIK3juuAc9IcTAhycAwLnhBNO2Lla2FglBLjXlBSYAwyC4lkUmAMCs0EUnRCYE4JoA2MiROaUvJLMCZE5AdUxkodSH9YW3aFr1ZecvIwEQRBEMGiGQQVJxDxzaDJLSCChGCCDTEMxNo9DrcChVuDhEIE6kcNpG4czdoY6JwPPAQJjsAsMgkvIiQyoFhwoYzWwm2ywc3bUchWwsSo4xBpFRDqEOp2AdCqhbUlMOgCI7lA1x6CMezT4vkfMHzJBEARRb4IWfEaTMoMlUrxxNJklJLRYoZiYmAiO4wOu/+HTVWCTroU7+RJT3nNHj4ArPgHwHFBnB06WATaHtG13wrH7NPZtaYVTtUmoE0w4XNMORXU8TtsYbALDGZuAUkctarha2Lg61MhCktXAKdrgFGvhEGohiHYIoh2ALCYdkgeSkwSkh+eRJssQBEFELF5FoEbsuZ9jUnYOf881HlFR0eD5aJhMJvA87/qfczXt+3jGnBCEatd7ERUVZ/ydRthgFHoOCS1WKObldYDJZAq4vqMqHua9x4DoKLC4GHC1dUBhqbQzszWQkAEcLQbqRCAtBxAcEPeVQDgjIvqaC9Dtyd5wh5MZUFsLfut2wClA2HIUf6xNQnFNAmqEZByuaYviWg4n60RUO0WcsttxJqoS5fwp1LJyOFgN7EI17EI1BNEGQbRDFO0u76PDPVkGJB4JgiCaOoaCUBGD3oQgD46LhtUaA7M5ChZLFMxmE0wmk04AuoWgyWQCFwKPoig6AACCIODXX7c1uL1GgyazhIQWKxSD5cDuFHS99xxlmwFA+/baSl27areHACa4AsSCAK68AlxlJSA4gcpKoMYE8cgZmG4Yju4P56E7VOHkwmPgfvoVrLwWxz+3Y1dJKgqq0/BnFYcKO0NpnQOlfCUq+XJU4wxqxTOwi1VwCHUQmUMRj+5xkK7QtV486v5WSDgSBEE0Hh6iUCcI3WJQEoIcx8FisShC0GIxu7YtMJujwXG+HR6hEIZqWCQJLAo9hwQSigGy/Uw8uvqv5h2TCSylFVhKK3dZb+k/EQDsDnBVVeAqyoGaGklIxiSDc0Yj65MrkOUSkPzWbcDJM7B9cxhbt2bhWE1b7KnsiOM1IkprHTjFV6OOq0U5fxLV4knYhWo4xFo4hVo4hTpp7KPieZTS+pBwJAiCCD3GolAvCAGOs4DjOMTGWhAba4HVEg2LNQZWqwXR0XL+Xl7XlJEADDxK5rsdXzj9V2kq0BJ+ISHihOKCBQvw8ccfY8+ePYiJicHgwYPxzDPPoEuXLo3ar7Oxv1TmaK2QFARwlRVAVTX4VVuAWAvEPt0gnj8YgIDoK0Vc9M06sCMnceQTATtPtEZBjRkFVWZU2JNRWtcapchEZdQZVOEU6oRy2IRKOIVaiMyp8jY6AOZ0jXHkpdyOcj5HxpQbHQlGgiCIwNAIRL3H0OUBjI1NQGxsPOLirJI4tFp0ok0Vcq6HKAy1JzHiYADz4VH0OX6R0BBxQvHbb7/F9OnTcf7558PpdOKRRx7B5Zdfjt27dyMuLq7R+m0f62i0tg0xmcCSWwHJrcBycpRirrRUEpFV1QCfDK5NDHI/vxi5EAAI4Dd+D5yqQPXXx/HDb7k4VJOG/ZUcjlcLOG6vwmnzGdRyFagRz6BOOAO7sxpOsQ6i6ITI7F7GONL4RoIgCCO8iUJ1CNlqjUdsbIwiCmOsFvAmE7yLwdCJwIgKFYcaCj2HhIgTiqtWrdJsL1u2DOnp6di2bRsuvvjiRuu3f15Jo7UdDCw9XfofAM7pJBVWVYFzjYFkJwDURiNm0WTkR3EABPCbt4L9fAC/fBSHfRU5KKyLwp+VwPFqO4pNZSjnT6FaPIlaocxjgow7v6NBmJrEI0EQLQxPYagNJZtMMYiPj0NcnAWxsVbExcbAFBWFYEShvJ8xpqmrF33eRaCP/IFeCFxQ+hBfTY2WLJJDSMQJRT3l5eUAgJSUFMP9NpsNNptN2a6oqAAA1NXVBTXr2ZrhAFv6KUztWgPZaUCdDThRDsRbwdrnACIDV1YOxFghpqYCJhO46iogKhosKREIoq+giY+XkvUkJQFtc93lFZXgT5+CuLcc/ND+6DO9K/q4biD812tR8+lhfL8jFwer07CngsPxaieKnJWo4itRgROoFk/BIVTBIdS6vI4BTI7RiUcSjgRBRCqBeAtNJgvi42MQH29FQkICYmKsLnEnh5r13j/ts8CXEPQsk5eB9bZfjX9BxxiDIAgQRQZRdOfp9YfkQJBmPTdlmK8xY+RRDJiIFoqiKGLGjBm48MIL0aNHD8M6CxYswNy5cz3K9+7dAwSRqPSD/47G2KdEoLIY2HUMiLECuZkQu3QELFYAHFibVqo2ObC4ZNd7Bv7APog/7AEXHwOuYwZYdqb0R8nxYK1bN46QTEyAmJgAtG8v3TKqqsDZbOA2/wJWLsD66hTky8Jx3UY4fzyCLWvSUVSbhT2VbVFQyVBUW4cTUeUo50+iSixVJsZI/9d5eh2Z6EoGDnjzOkpXhP5ICYJoOgQy8YTjomAymREXZ0FCQizi46WQsj9vIcdxiqDTC0PZa+gWfAIYM8EtCo3ulVpBZ7c7YLPZYLcLcDhEiKLoEoCiIgQFwQ5RFOF0OqRVwuor8pgIkclDsZr4fZwms4SEiBaK06dPx65du/D99997rTNr1izMnDlT2a6oqEBubq7X+t747BiQMleAk5nAWBSieRHJ5kNoZd2L1ilVSMwTENUhAVxSjCT6zFFAQqyUdzE9FWKnjkCnbFeabh7cqdPAVz8BIge+QxZY13MAQZCEY2qalKw71MTHg8XHg102FFxFBfi9R4FDRWC9OkG85DLwlwgYfNEG4PhJlHxShc1HM7GnIgYFVVYU16agCOmoMVWhynQSNWIZHEKVK1Rt102OcY1xZJwkCDnVTU2+WapuyiQaCYIIFz4FImdCVJQZCQnJSEiIRVycFTFWi6aOVM97KFnepxWDMHivFm6Cbr+giEHpZXf974TdLijHM2YwI1nnJWz4/TZyQs++PIo0mSVwIlYo3nXXXfjiiy+wceNG5Kgme+iR8001lG/qvsSBvf0gukQPz3hEIxoWZoaZy0AsH4W4KBOieQ4mjoOJA6J5ASZOgDWqEG1iCpFpdSIhSkCbuGrktTuN+AviwaXEAelWsNQYV088gDpwRcXgftkL8bQd/JDeEFulSF5MJVVCA4iOBmvdWvJkdukMAOBOnABMUUCNBYhNQ9oHN+GvEPBXCOA//Qq2jYX47qcclNS1xp7KjiisFlFUV4fS6FMoxwnUsQrUCWfgEOqUmdXyGta+koADoHA1QRBnDX/h5OhoKxISkiSvYXwMrFZrvYSht/GEkpiTPIbaOpInsKamFjU1NairkzyEkhi0u461qRr0vJe6KgV0HepLJN2ffYeez54dkU7ECUXGGO6++2588skn2LBhA/Ly8s5Kv2U1B7HHXOayQQTH8eDAg+NM4DgeJi4KJqcFPBcNHrxrv3QDMXHRiC6LQSySYGFWxLJYxP7SBskrzUiI5tHKUox2cUXIsjqRFO1E+6Ry5PSohHlwG/Dd0iG2aw3pJiWCe3cFYLaA65QD1r4tIIja3Iz1hKWlSf//ZbhUYLMBDif4g4fA7LEwPz4WlyQnAhDAHS8E9+N2HH+nHFsKM7CvMgeHqoGiGjtO8zU4YzmNapxBHSuHTahQ1rEWRLtrfKPTI1wNTr4BidobuY+bXiTdsAiCCA/+hKHZHI+EBGlGckJ8HCxWq1JHOiTwiSfq/yUEL+MJ7WCMoba2DtXV1aittaO62oa6ujq3GAxSCNL90ABfYpAuV8BEnFCcPn063nnnHXz66adISEhAcXExACApKQkxMTF+jq4/oliDWptnihz3upgmRTxqy93bPBcFno8Cz0VLwlKwINoeg+jaWFjLExHLEmFhVsSzeCRsSUGr/0WjtbUK7eO+RW6sA/2yStHmagsQGwexdx6kmxYP/rcdwKlKwGoFa9vGFe5Ob9gJWyyAxQKxVw+glzT+kysvBzObwf18CEyIQebHo3EVBAAM/NdrUbfqMHbtSMfBqrY4UNUBR6sZSmudKOWrUOFaQcbOqmATq+AQql3rWEupebTiUfY+Qvnf8yboffxjQwn0hut1HdZ6tEUQRMMJZPKJxRKnjDFMiI+DWYk4NVQYasf8uctFgDHU1dWhprYONTU2VFfbUFNTAcYEY0FI47pDAhN8OBpoRnTARJxQfO211wAAw4YN05QvXboU48ePb7yOmQBm8PPE/V1TDXo2QrM+p3xDinZ5JWUBKb2ieAt4MQpRQizMdTGIqWiFeJaM1P0pSPvJgoRoHjkPb0SXBCfOSahEj8vKYDonFeJ1f3XZIYU1+LU/Ag4BrG93sFatGhy2ZklJAADxqsulApsNcHLgt/4CscgB84t/Q18I6Ou6ofGfroLz1yJsX5+Go9Vt8GdVexTXAaW1Ak7Z7TiFclTyZ1DDzrjEYxUE5oQg2iTxCFERkfK1l0SkWkx6E5IywccXAhGA4WjLJy3spkcPTcKnKAQALgocFw2LJcrlLZQmnwQjDI3CyEbCUB9CFpxOVFXXuQRhLaqqTiuziuXIietATX/0vQ4hTFpLwisUeg6YiBOK4foVwMA8lrfTIgAcp/oz1y63BCa46zHXzYdzQhaOIpNFIw8HF+XyQJbDxFtQYzqFcj4WZ/hkFDlSYbXH4mB1IvaVW5EZ2wqdlych2+pAv+VvIv3GVkBKIsRLLoZ46XlS++98BT49BeKgAeCcTkXwNRiLBbAA4rCLwJUUg/vjEFB8GhCcEPMvhHj1VeCvFjHgis0YsO8IylaX4Y/D6ThcHYM/q2NwrNqKE3WtcUKoRgVfgWpTGeysBnaxCk5mg8gcStiaMdG19KAUumZMlDyQnCQaOW9/9cy3UGs2N2avpxkhd8Mg/64bW4A3m+9FM8PXOskcOESbLYiPT0RcXBxiYsyIjbFKadAMVjxxC0RPcaj2FrrrefcYOp1OVFVVo7KyClVVNair02WC8OExpO9aIxLC0HMgq8LV1dXh/vvvx3vvvQebzYYRI0bg1VdfRUZGhlLnyJEjmDZtGtavX4/4+HiMGzcOCxYsQFSUW45t2LABM2fOxO+//47c3Fw89thjjesI80PECcVw4vcPWjOj13vqAXcr8q9VALCpfgnrvY8m8FwUynmzEr6O5mMQLcYhxt4KcWWtEMeS0HpfOjJ/sCA+GsiL34jO8XYMbFeEtKsTIJ7fGYhjYIgGv/934I8jQI/OYEnJYK1SGjzLmmVkgmVkAt1cBSIDd6YMMPHAGQ4sujUS3xyLgRAxUF5FxuVx3LE+FcdrM3G0JhfHa3mcqBNR52SodDpxmq9BFV8FB+ywcTVwsBrYWBWcog0Cs8Eh1EF0TZZhTPYuur2PsueR+cgPZuQpbmx82VN/QpPTLDjbQnUewbfTsAes7/6CFqIh+gFLosGNL1EIAFFRZsTHJyEmxoK4uBjExcZID1u/y+B5F4aAp8eQMU+PodPpRGVlFSorq1FdbfcytlAkj2GY8eVRDPYWHMiqcPfddx9WrlyJDz74AElJSbjrrrtw7bXX4ocffgAg5Z0cOXIkMjMz8eOPP6KoqAi33347oqOjMX/+fABAQUEBRo4cialTp+Ltt9/G2rVrcccddyArKwsjRoyo13VoKBxrYYH6iooKJCUlQbpZNI21ML3fEGW0Y2ykKtHguSgprxdvhok3I9oUg2hTPKI4C2L5VkhgKUhnrZFptSAnzoRzEx3o3boMnc4vQ3S/LIjXXAk5VM2v+k5Kn9NNStPT4DGO3qiqks5o0y8QS8vAD+gE8ZwOgGusI2x14D9dDdQ54DhQht0/tEZBVRzqBB6n7CaU1PEoqRVR7RRR7RRQJtSiiquGnbNLoWpIQwScnANOZoMAh+KdBABREZE670AjiUW96GJexFyg4sxbPdGH/T5FMvNij+EwC9HntrfjArHFuNy/Db769X7e9f0M/Oz3apu/W2wQ37163K4jQZz4y2EYFW2G1RrrWunEiri4OJjNZlVdQB/FkYShLAoFGOU01GIUSpY+G4fdjsqqalRV1aCqygabrUbnLWypnkIpLU95eTkSExPDbYzC/v370atbN5yaOtZrnTmbfkHVgCHKcLZgOXHiBNLT0/Htt9/i4osvRnl5OdLS0vDOO+/g+uuvBwDs2bMH3bp1w6ZNm3DBBRfgq6++wl//+lccP35c8TIuXrwYDz30EE6cOAGz2YyHHnoIK1euxK5du5S+xowZg7KyMo+V6c4W5FFsAnjcUDxyDQqQS9xVHGAu8egUAI6LQq3L88hxPHiXeCzgY2BmibDaEpF4Oh2pB9PQans7pMdEocvsjeieUIeBnQuR9JdUiFdcAEU4HjoA/FkE5GSCJSdI3sJQEB8PABAvGyL9DwAVleBqq8GdPAOUVwCp2WDFZYi+OBs9512EnsqNmAGVleC/2gBWWQfHgQrs+7k1CqtTUOU0QWAcHCIHB+NQI3CoFThUOjhUOBhqnQwCk5b+FDTeA7jsYLptY3gv5TLyceoHkajqQ9+fkQ3u44y9Ee5pPp5eEHWZZr/rKKP9apHJOHc9RVTLx3KiUuaxT/a+qOq6+1E9gOX9zLNMFtGiq3f3uQmq/mQvj7p9USN45SEK7m1Bu81E7TnLnmgDmzzriIZ1PPcb7DMocyP42Kfa5mAoSH2N0fUQYX7EZqgFjvdx21rPnznarKQzM1vMsFjMsFqtMJvNiDJFeT3OXWwsDCXc7/U5C/WiEADsNhsqq6pRXe1AZWUVbLZK5bq3bGEYWfgboygIgrJam0ygKfX0q8Jt27YNDocD+fn5Sp2uXbuibdu2ilDctGkTevbsqQlFjxgxAtOmTcPvv/+O8847D5s2bdK0IdeZMWOGX5saCxKKTRjfAlIrHqUl9XhJPAKK97GOiwbPlYDjonDSZMURUwyiRDMsYiLialORcjwT6ftykP6NGe1mb8R5yXZkx9agd/5pmM7LgdilH6SbrBP8xi1AjR2sRycgJkbKwxgKEhPAEj3FKAOA2lpwNTXS/6fPAKWnAWsyYK+B+fK26L5gMLqDuWob36i5w4fB7S8AKmuB6jowu/SQ4KJ4MKcIOARJzYlM2na9N8RbiF6uz5j0PHGKrrzjTIpAiUwanioyuJbNduclZ6r3crRK5FzvXZ+vCIiC/J6DKHJgIucKi7m2Xe8Z4yAIPBgDRNe28j+gbAuiXGZS6gryPtX/DBycojT+1qnsAwTVewZ3mXzaDFD2Qzo9qT0GpY7A4LHtblMS9YLr42AMcLr+F1zHMMaU46RjGATXjwHtfqYIdafLC+RUfhwwOBVpzNzvOFER0wKcilAWlRqS91oqFyAwh+towd0Sk98LEJhTEaPKeFuViJUFrFq4Ms22W0BrhamuTLcNvbjWJMD3nAxmON43GE+mgZDjeR4mkwk8z8NsNsNiiYbVanU9lM0wm63geZXo8zJRRduNv4iQWiz6EIaMwWZ3oLq6DpWVNaisLIfdXuvTWwiQMIwERB+jcRgDtm/f7oowupkzZw6eeOIJ3+0arApXXFwMs9mM5ORkTd2MjAwlO0txcbFGJMr75X2+6lRUVKC2trZRs7t4g4RiBKK5QTFm4HkE1AJShHTjdQqSt1EOW5/hC1DMW7HfFAOLmIiYulb47EQW4lkc0na1RXpMFLonr8e5ibXo170Q8ZemA+d2AstJA2ACV3gM3K6DQJtUsPTUxglXx8SAuf4wmC6xujS00wbY7ODqagG7HVx1LVBbB9TVSetxOwVpxRtmBaxmwBQPzmaHWFkHVitArHKAOU1ujam/9+ufRepL72RQO5CY6pkCuASg+hetKIk8+RhR4BTxJzXNQQSniEPwgCBIIhAAYAIExkNknPT8MwGiyEMQeeV5KALSttwlA5yabQ5O0f2DQhJRrjblbXAuQSaJQ5EBTsa7BR9z75cRRE55FHOuOnJ9Hi4hJ7ocYq7ryBinPPqZpOrAQbopMQAOETAx6dQYAxwM4F3CLxqe3mEnYxBd+wFZZDK3J5YBDogwyxMVJPmm8qwyCJwAAQJ48IrYc3ICRNetUoQDAud++sgCUbryVqk+s2k9t7KAdIlEkQmaIQgic7pErNqzqfU+Msa8iESX5ar97uMcum0R2i+wfliE/suvE4zyteY4cBwHE89rBKDyf5R2Wy0A3ehEn/ID13PYjVLHUBi6l7qT0C97J/8Bav8w62x2lTA8DYfDofIok7ew2SD6+DHBOPTt2xfr1q3TFAfiTQxkVbjmBAnFZoDWG+D6w1Bu6rLHgAeYA2AcGOcE46KkB5Roh1Osg12ohs1UgVrTGUTzsSgVW+NYVQqKapLxR3kstp05B51/taNt/F70vOE3cH06QBx4PlibfuAKi4E1P4Dv2Qlix47g6mpD5230hyvfI0tMcJ2nCkEAnE7A4ZAm1zBR2rbbwdfWAQ4H+DqbVCZCUjJ6z4n+4STvZwwQRNcxrn2iSw3JBYprTVRcbMzp2u/yNEIQ3Q81lYtNFk5Mdp2Jcp+uh6BKmMrPN/U2Y5A+a5U4VTyOstnyfjCXR1ISpaLIQWC85KN1eR5FJolYMJdXUeRdIpJzexNdXkcRsjcSiiAV5FMD5/IIyvvdgtTJoPThcsoqfmLF2+h6hguqMrm+cvkgXSN3n8x17pKYlESV+5KKireRQXD9NcmfiQDRJSVd2y4hKW8zToQTAkSXIGEQIXBOV59SPeZqRRZ2AqSxbW6BKo91U3kWmTYULfs5IdvGtNtu0cgUO7Rik8FTROl+1SAAsdggvIhDpcC7SNTjno0c2HrItTU1qKqqQmVVDaqrHXA6nWDMpvIauuqT17BZof4hrocxwGQyBT220tuqcJmZmbDb7SgrK9N4FUtKSpCZmanU2bJli6a9kpISZZ/8v1ymrpOYmBiwN3HcuHGYNGkSLr744qDOzRskFJsZ3sPV8oPAtcUcAGzSg1kVpjbxZgA8TrrGOO6PSoSlMhGx1a2QVJSKeBaH7F3pyIqtRZfEb9E5oRaDhx5H9MA2EHvlSRbExYI7UwLup9+AuDiwLh2kvkM1zjFQTCbp5fqFqL4yTf32zwkCIIiSuBVFQBCkMia6BKZTEriAJIIFQYqzKDFal0hmzC2AnU6X+nIpLqcgvWSl5XCCOWQhKwAOUdoWXWF0QQRzQFFjopNJvz1UAlV0coowFUUOosC7wuTSNRcEE5wCByihbd4VAocrxM3DKbpEKSRvp1OUPJqyqLSLLo+mq45TlMamyuLPyaRQuevSQATn8j66xDIkUaoWmU7mHj0giK5wtUpgioxJHku4twWXp08SqUwjKkVXSFqAoISwRc4JAU4wThahriUulbGZrvC04tESpfryt9WVEsodYmaucLXbbc1Ebb5XUZQ+X0mDRbv2GawpLDv0PLxpJqWv+sCBU44NThh6ClTjJfE8vZ52ux3V1dWorqlDba2A2to6OJ21kMd20BjDloMYwlnP/laF69evH6Kjo7F27Vpcd911AIC9e/fiyJEjGDRoEABg0KBBeOqpp1BaWop0VwRuzZo1SExMRPfu3ZU6X375pabtNWvWKG0EQnl5OfLz89GuXTtMmDAB48aNQ5s2bYI7YRUkFFsIxuFqz3GOTKx1TZCRUvPUOU67UvKYUcSbYeIt2M0SYHUmIb6iNZLFVGTuaYeMt6KR9/BG5MQI6BBfjfMGlcA8IBvs/E5gqQmQHjh28D9tB0qrgLbpYLltwOLjFSFHqJBFrgpfj7GAH3EOVzhSFKWQvSw2mSiF7u0O9x3UZgdns7sfpk4nUOeQPLWANLbT5pAUF89J3lKbLDYBMAbRJkgxYxeizQ7RDtU2B9HJQZTSkEIQODjsJogiD45jYIyDzR4FgUkiQmSAzRmlCEEAsIsm2FThdYfIwSZKnk4ODE7GwS7wECBJEScD7KLk0ZRD4XZR0tDSNgcHkwSoKJ0aHCLgUI1bdTIGp6gOxzM4REk8chwHkYlSHQjKh2PnHHDCqWwLnAAH6pQ2Bc4JAQ4wCOBggsA5wTFpNj8HHgxOODle+nxc/4vMCY7xiiATeafijeQ4Dhx4jXcSjNMNp5CvgDyeTxaOItzCTZRyyHLuaAWDe8iLkRBU7/cIKxt5/5Q+1Xh5kquOdzgdqKmuQU2tHbW1TlRVVcHprINWFKraImHYolAPjwlmnxH+VoVLSkrCpEmTMHPmTKSkpCAxMRF33303Bg0ahAsuuAAAcPnll6N79+647bbb8Oyzz6K4uBiPPfYYpk+froS8p06dikWLFuHBBx/ExIkTsW7dOrz//vtYuXJlwLauWLECJ06cwFtvvYU33ngDc+bMQX5+PiZNmoSrr74a0UEuvkHpcQgAvgePq1Pz6NPyRJliYDbFwWyKQxyfCiuLRysxBammOLS2RiEzhkevZAfaxNSiV7dixPZLANctB+JFF0GZYb1+E8SSavAZSUBOurR2td0OxMaGLjk4ISGLPFEEbDZwTtU4NpsNnM3hfpjW2Vxhe9dD1ikANrs7/uuQt12KS2BgNieYQ+4Drm13F8whQnRrIwg2QHTyYIL0FROcHBw2E0TGKULRbo+C0yUUGeNgc5o0QtEmRsEuqLd5OET3lAyRScJRHocpALAJbhEoMrdQlLG7HLGyXLIzwCFI0oID4GAMTpfnURqDyeBwjYmU+pTmejuVySsMds4BAe5tgRPghFsIOjm7a7yj61q5xj8KcLqEogiB2TUCR3Stn65cT9d4SKUNUdAIR1F0j4+U29SmSBIMwrhexiqqi8C8CkWj7UDQCzlBEFBXW4eaWgdqaiSvoc1WDa+i0IetRKiQfmQ01fQ4R6+/zWudJ3/bBtvQCwNOj+Nt8pR6VTg54fa7776rSbgth5UB4PDhw5g2bRo2bNiAuLg4jBs3Dk8//bRHwu377rsPu3fvRk5ODh5//PEGJdzevn07li5div/85z+Ij4/HrbfeijvvvBPnnHNOYOdOQpEwwlg4AtolsqTlB2XxyLsSgkeZYqSE4HwMYvhWSEQa4sUEtOJjkRgdhfQYE7omMuTG2NEpuRydrnKC65AGdl4vsPRMSJ+LS5geLwa3fS+YQwQXEw1ktQZLT5We8NEWSVQ2Z+QxjoIohZtd25w8/lIWcaIAOJzg5NCz4JrEI7pC16Ir9CyI7vC10wk4XB5FwRVutjmVQYHM6Qo/MybPigFziFDmWjiZFH5WOSWZQwo/S9scBDkU7ZrtLAgcBMGkbDsFHiJUM7AZB7vISyFh1/hHhyscLQUMpTCz4BrXKI075FyzsSUh6YQ0XlKWC1LoWhVaZpKTUw5Du05NCSszAE6RKeMb4dqWLq1UIqjCz4Dkm3eq0u4IEJXxjIDUjoNzeIxllELP7lA0Y06oUw+pJ75IoWZV6NkljkTVjCnRtXawelufKsjb2EX3tm9hqPcghk54iXA6RdhtdtgdHBx2AXa7EzW11aitrYAg/8jxEIbwa7MRJBhDQRMWil274fC147zWeWrnz7APH1zvPIqRQlFREd58800sXboUx44dw3XXXYfCwkJ8++23ePbZZ3Hffff5bYNCz4QhmoeB+qbLyUPweWlQGhOVyTGCaAfPRcEp1MHBV4Pno1DHl6E66hQsfDxKuHhYHfFoZUvBsap4tLKYkX4qA13/40RWjB25Cd8i55xyxFyUDqQmgZ3THiy3LVj2QEijLDlwp06DW7cZjPHgYq3gcjKBGCsQFSWtAsPxYCYeiI4CeBNgigIzR0vh7Qaude0VkUkiTrpwUGaLqCaycKJrwgwTXbOwXS4sJkriTj++EK7/ZdEnizV5Ao3cviC41Y4oqGZ1SOWayTMCAxNE1XvmmkwD17hHBibNKJE+WvWLAUxwhYnlMYWiyTX5Ba6JMLwyGUae/KIWgCLkfVAmywiu2dTyRBgB7tQ8cpYiqQxKmcCkGdbSnB5p/KE7nY57Uos8X0izrSqTU+e4y5hq/KHnhBdBFmZQTYABU8YlCpwAeSa1Mi4RTmX2tMckF+ae5KLkjnRNclGm1agmrUjrn0t/feoJLspvfabbdtWDYjUA3X5PD2JgIlH/PphJLw6HAzabHTabDXV1dbDbRTgdUbDbBdeYUCcE0Q5tWh/3uM2A+uY4D9s9qpCjoF5EksBuWW4wNw6HA5999hmWLl2K1atXo1evXpgxYwZuvvlmRdB/8sknmDhxIglFouEYTY5RL1Eoy0lNHkf1GEeYlDyOPB+leBzNLA7RQgwstfGIP52KBDEJ8Vw84n9uhcSPTIiPBlqZDyM3tgBZVgcSop3ISahEmy4VsF6YAS4xBqxTBljHDirjONX/2vf8zt+AIyVgJ6rB7K6HjQBw0a6QpitBn9EAZ3lYGAConreQZx/LF4LJagWqOqrB1MzlzJOPEUWAOeVxW7L4cs/UYwCYKx+idOldAkp0L/0oqvbLqXVEkXebJc9kVm07RZMyWYS5BJhTztfomrEse/Dk3IvyNqCescypRJZUBqgEnepSOFX7ASjiDkqbktcPkFLcMDBl3o182eUcivK5CCJTwsXSzG2o5iNL+2XBJ/Uhiz25TWlbnXzbCRGiKv2NEwJEzp3wW6rtnnAi5VB0QlTlMBTgAFN98JKn0N0Pg9srKF0vp+IdlD4TURGT6joyzDU7V5uYW59kXL/fS0hZd4wnxk9axhhEUYQgCK7/GRjjAWZ2zZ/iAMZDFBkEQVDqSfcKEYJq/IE0y7tW174DhriWN+U05+Zlwk1E6kBvgttfqv+zB6f7rjVlBMH7dZOHojRHsrKyIIoixo4diy1btqBPnz4edYYPH+6R89EbJBSJoPElHmXh6CqGWjxKykESkDWucDXAK2MdTS4xaXJaEM3HwszFwHImAVYWBwuzIp7FIXZLMhLfi0JcFI9EcyHaxBYiwyIgMdqJaI4hmhelqDQvwswLsEYJSIytQ0p6DcypDFGpZnCJFnDRJiCKl0LYvPy/68bhFFUhXSkuyQTdtqx0THDtd525LCplBRPFKccxAJzrL0723Ml/geqE3IiWBCZzQmpflD167uc6c+VgVN+vBYdOVAqccqOUHt68kogbkPItCipRKW1z7uNdHkEZxUOomm0sJ+SWL41D5CG4bsBO2fvHOES7hKVcxjPZEeoWkHK+RDlpNy/b6fIImuD2DgquHIwmZZu5Rry6JnQzJdWk+3jGlG1p4gpDlPKRStKPYwycqz05QbfisIX0/RUR7RKY8t+BWfEduq+VNmG36PIoyjhdYlO9oo2Tc48vFOVk2yq5LQlOQdOHqBNUgj53ouuhzrm+eHJ9ThFXgmu//D1xiwC5THCJVCW3JJMEH8dFqUStHA53KN5OqR9eZQOvbMv2SP0AHNM/isza8zAQJoEsuxlKQSNfj/pytsVVfewNzEYBglAdvEFnGemHrp8KzZQXX3wRN9xwA6xWq9c6ycnJKCgoCKg9EopESNDkclT/AcqhauUvVoCcy1F0iUaR2V0eBmmbV7yP0YjizeC5aJh4C6I4C6JggcUZD4sjFtaaWCSeiUc8b0ZMVBSiOQ4m173RxHGI5qX/zSYgLoqD1cRgNQHRHGDiGKJ5t9OB59wSVxYwcL2XPVkyspCREVVignfrQle72no8p+5DW1/dhysSrEFQ/QI2WjxGPaZObZd6W92mvk+5X8bckTv9Y0O/NCFTvXf34a4juMK57rYlj6G7P1e4Fwy85KswsEl7jD61tJwDUVNfEyIVNWWyiNPWV4V4VSuwKG1wblEnb8vI4kdetpBnvPJehAAeJsiruGjOi2nL5Ikochpy/UQTeYUXqU+TRkRyHO8SY5IA5F1tiBCVLzkPHiIXDcYEcJxJJfw8t6U2TWBMgMlA9Ml9SuehmoDjEpoiRMUG2Q7e9fet9q5q7NQhi0tDkWiwRnlw630HR0NFoprGEoxny0ZBtEeEUASkH8feCHbWcySxfv16jB492kMoVldX4+6778aSJUuCao+EIhFyjEWj+iHLQc4SzRgPDnaIyk2Od93wTIoHglNmXKuEJBcFnpeEpIlZEMUsMCEaHGcCB156r3pQmbhoRDF3GQ8TTIhSHlQ8k/riwUsJkVU4OafmwSa6wos8TG6R4BIE6oc8Bx5Ruj8xE4tS2pDb42WPnEssyRhtu66Qz225TL9f3SYnzyLmRHCM1zzUXVddYzenstNbn3o7ZfTeJXWb3vrkOM5VpraBA89JQwlMuvNSZ2CRNaOvbCxG62orM3NVgls/jo3n9HZKP0bU52EyyV5Z5joPY3yJcMmm4L8Dbjula6i2QX9t9N87948Dz239jwd3wmtZ/KvPi2n6kdswqa6dN7u114dp6jNdH1Lf2m39Dwppn7aOGvV5aK6fq1/5s1N/D3iO09TxRSB2ebPNGx6fteq90fc1EIzs82ZjOaqw1f66l6EKTQtfoefmLBTfeOMNPP3000hISNCU19bW4s033yShGCi9e/eBSZenjogctH/iIoBagKszruwV7U2EQTuuTuqHg88pMIY3YqNlx9zfNQbtDVxUHaMXD1KQT05T5D5e/UhgkLwJmgcGxyFKL1FUdeQce5rdiih3tam6ygxQiXm3nUZeDF4OL8rtc/p+VEILJp3gcwt297lIPxTkfqV59yblMaW3U/aqufvwRP+XH+Xx8NW1wbTXi4fbJnlbPg9ZhOtt4/Wfh6pOMA9dX0msOWbcn9aO+j8gDcUWAk+F4/kDhDN8r6/vTUh5m1zj+WPF//X1EFlB2uoNo7592WpUrz7XU49+n7droi/X21fLx0OoOE+6XwoCfv11m9c+w42v0HNznOhSUVEBaaUmhsrKSo1HURAEfPnll0qi72BosUKRiCz83pb9CLbA+jBow+8vcp0I8qhvMihTP8D1Nnr2pxdj+vaMBJm6jlto8pr2lITInLbca5seDyXPH1oeIsSgTR76/uRySQC67TIp/crCTS3YtMJL9Z55F2Xe8HjgMu01kvtTbGOcR5n0zlNM6D2lDcXnN50z+Jy8eMACNSUQj6wRRoJU36enrUbtGE/xUNulEYwGnkfPY1VRDx8eRb1NnJdyX+ivnzdbgcA9i74+y/rO5jYUtEb2RcY8FgDQrHuvpzl6FJOTkyUnAMehc+fOHvs5jsPcuXODbpeEItHkCf7POTCREPiSYqJhm0ai0HOfXiipHzS8d9EHKCLLVx21F9BdxmnEn75N94oZ8ng2zkPQefPoKfVVx8t9amzgTNCKLLfQ8+yDVzxyaoFmYtpjePAw6bxkek+ZOhxqJAD8/ZwwElnK+XLytdUe6w5Fuso4d331cUb9ufvRPpT1YXP1ttIu3GNEOWjHw8q2Q7VffznqO6ItWJ3grx9edz09UJ+ogR36sbrqfUDwniP956tHf519nZ9+LLO/OjK+bA72c9Tb688ej3q67TKbyfML20TxJRRF5n1YSKSyfv16MMZwySWX4KOPPkJKSoqyz2w2o127dsjOzg66XRKKROTj56e9PiwWWBtevFVKdWORqC03GGWn8/p5iDgDUagRhjpRyOvDrJy+vkkj6GRRqB2/GQW9ENSLQHU4V+3hU8r0oVkmi0tJZKtDs9J+k0doNEo189UdgJZFF+dKke9uw8TxHgKK5zjdODwJUWlXi/5TVI8pFOGaDK/zIvGuOvLPB/WEeekz9RQbHmJI3pZi/MoKMUod1379pCj1BChdEwbeOmjs9DxXeGBkh5Gg0I9B9Nem3i5vdhgKed21UGzQ2aLeLdf19OYZ480m/bUOxF5f/fmyVV/HGx5C0c/1DQajrj0mzYny37bnhKKmhq8fNU1f5gbP0KFDAQAFBQVo27ZtSCIYAAlFojmgdrMEc5jP8T/y49XYm3i20Yz5U5erUps0nIafq7Gdnu16G7flK2wmwnNsoYcQ8AiV1e+MlAeMrMK87fewx9iT6ZMgonmycPPmJdLT0CihP69TIE4lX/ZyBkIMMK7vTbTKYlXteJTreghZeAqEQAS00b5APgJ9f75s1fehv7b1EeHejpPx6EMuN+gjUA9kU6IlhZ5/++039OjRAzzPo7y8HDt37vRat1evXkG1TUKRaPKow2veK6ljdFp5ENBEAUO3iKj6Xyd0PMY4CQBMSjnnsoOpjuXAu9J6yO3zYBDcwoKJgGoiBDh5vzuZs3qihNwmpzo/Tpe6xJUNUdkvcrzL++cOO6vz/0kzk3kADu0YQubQetYMws56r6MaHiZt2Jnj4VCNNZTsUI/3c434Y5JnEQxK2FkOOfOqFB4cxwHMQHDAN4GM51OHjmUvJaeqr/YQSuFvphJAcnuBec58pVUytN/DA63eJ9tkTKBiU21HoBh5QD1s0XntVEUavAknQ6+c6/9AQr7e4I2uW4C2GuHVe6gZS2mMkZdZjZGNHnX8GGp4fXyE82udDA3/CXJ2UOeB1ROJwtcXffr0QXFxMdLT09GnTx/IWQ/0cBynWg4zMEgoEs2UBnjHDD2U6hujp2h0i0VAFoycRnCqZwJLbip3rjL3WER1KhlluTIGyGMINcJS6V+dfkYSiYwJikhR2uR4cEzqnXGS904AwDG3aJSWmnPZw7STRgSoQ9+C5jrw4CAvQ2MkIhknqTi3cHKPPxTl8Yqc3JtqvCInh7p5CC7hKNfSTBZh2v70/RvBG/iX3OM3VfVUbauFJMdBSf/kFpDqHwrSp64WkZq+6uHQ8Byr6OkV5w3qa85H74XyYojRQ0bG30PWSJzox0xq97mO892s1gbVe6OQrj7nZyBohCDn+V3wN37RCM80SKr3mvLglEsg1zNQjLo21I+MwSFGhkgE/HkNm5dHsaCgAGlpacr7UEJCkYhIvEQEdQQmFjV5H6F6EgNe7rieolHrSTT2Lkp9yQleVB5PlWBUkgy7BKEiOJkIJQ+h7FV01VNsl5NAM9nTyANK8mRes+yZnJOSg7sNUZ7ooggjKXWN9renp0cTcEtkKamyoErKLC8943Dtl7yZAuQVQjzHP5rksYqcy/sI92QantNOepGP0c9ydotk43A2Z/AAkT2X6uPd+zjNfvXEGZepLqGo9kR65lz0axcX+EQGZVymvo6mvsGABUPPlFSozm/odQZuoHrGxx+oz1m7QTy/3SsRucs87A7Wc6QRg9rPT1MtQDt9DY8wvMb+7NX1G4ofIErXHkM3PI2pldeejwAEH0IxQk4hYNq1a2f4PhSEf/AVQQQIU728V2IB3gFE1D98EuifTXDu/UhZP1VGFnFK0nK4Z2DLQjTwtkLz695ohQ9AEoZG4lBGCXXLYW3dyyjVjWS3t3Bp/c9HL5q8NWVUzrn6ll+GFQDlvOT3Mvpyw5yLHIxPnPPyXoW3NtV/tvJ7fznwjERig/HxseltUtvp6+Xt+GCSbGsN0W565Iysb7PNTDgBcK07b/xivj7sCOeNN97AypUrle0HH3wQycnJGDx4MA4fPhx0e+RRJCIS+U/cv2fRm1cxABFj+ITmdf8biQKT8r9+FjTg9sLJlutnQivv4Z7Vq6TKAe9RR//eX55EDryqPTm8pkqV4+rPM8G02lZeU9+kakPrVdOWGaXJ0eY91M6Q5pjxuEWNTQaCx1tyZJ6pbfMUfe4zcx+rH7eoH3+o9uopH5cuZY43L5W6PW94FYoagWdcvz4h52DwFS6tT/v1sUhvQSAh80DHZ3o7h2Dt9GZRsOFmbwSaCsobwdjnFCMjPQ4D59OjGFk/y4Nj/vz5eO211wAAmzZtwqJFi7Bw4UJ88cUXuO+++/Dxxx8H1R4JRYJw4d+rFXiaHM99gYtEo1yK3vYHkkdRc4wqj6JU7loZJcg8isGkz9GIQniKQqVNXZJrk64NWSi68zh6z6Mo7deiDw1L56Y/XnuMOm+i+pPTHufuTN+GOtysacOjH9/4E3nacLO2r0DbrB+ukLWPCTeaPl3/e0tXVF+0D323TQ3B1/nU125PceLupL72+p3kEiBefPHSPpVtUaH54pwVBOb9SjS3Wc9qjh49ik6dOgEAVqxYgeuvvx5TpkzBhRdeiGHDhgXdHglFIiIJ7p5aj4ktHgIwOJFodJy/hNtqT59ytMdydLxrsoroGmPoFoVyGc+p/qx1wlCyMkrqh4kwXjIvysPrxatuFUbJtOU8ivKEHV9L3AGSp9CkF5vyDGfIYlMrBE06b6o+r2IgYwJl75/33IK6MX2cW/ypczVqricntSN7t+V1llVN+J0E4TeJs4ELPZD8hBq7XOW+RFqgnnr9/sDGDGuvQz2zWnnaUo9hfoHiz7xQTBrR7A+uObcd/vZzgfXvC/nQOh/rJzc1fInvpu0PbRjx8fE4deoU2rZti9WrV2PmzJkAAKvVitra2qDbi5xPXMcrr7yC9u3bw2q1YuDAgdiyZUu4TSKaEk08LGKENFFF9CxT/e/1WIPxjT6P8TkeUnQl9mGGa+YyJuhqCz5s9T8WVOqNed32ld6Iqf+pZ7mCSWPCDNpRJz3y9S0R4a6gXy5O/ifvY8o+uT5zv9T2Mt9XQ/9gU66ephF3XfnlDbVd+k9CfR1EVT2me2/00u/XH+vVHt3YPX/j+gJpS1MWgA3B4K89f7YHel4NtVv/WXizM3TtRoZ0EBjv9SU2Y4/iZZddhjvuuAN33HEH9u3bh7/85S8AgN9//x3t27cPur2I9CguX74cM2fOxOLFizFw4EAsXLgQI0aMwN69e+u14DXRPPDwagTpstAk4PaY9RxoLkUZOUWO+9GsvtlKORVFVTdyaNgtFuWchkwRYlJORTlEy1wzodUzmxlTzzjmwZjdI/zs5NwzbqXUOIJ7YDcnjRlUh4kFACKnPjcevCsVjtSuCSJU25wJgmvbPSZRTp3jnr3s0HscOW34WT8GkWOca8UXY4+jt9yK7v1yX9Aco9RV9nsfi6g+3td4RK1nk2m+hrr1eDRt623VE0g+RSPPomFbXvoINWcjUnm2cuI1xrk0hu31sTNQO+qEhkwEPIswP7OeA/KBRyavvPIKHnvsMRw9ehQfffQRWrduDQDYtm0bxo4dG3R79RaK48aNw6RJk3DxxRfXt4l688ILL2Dy5MmYMGECAGDx4sVYuXIllixZgocffvis20OEl8Dub0YBN+MgnCZ1iUZsGt0ctelxAK1olIrl5f18iUYpEbdaODIIAHPnTZTqSYLRHaJW7dekjOFdx6qEpBymVvUhJ78RASkMrZ7sAZNb+jL4GMvoUNoDeKhT4cjtuI/xM55RJ6PkELY7z6J2PKO7De02x7Qi0Vv6HMVOpgtjQx/Gls9F3aa2Pf1QBI/xijrBqW9D3766b28rvvhLfWM0w7ih4V5f4eNQhZOVvgJ4mPtLqB/ICicNJdhZ+wEtAtBA1DaFsj9JKEYGPr3tkRd0Cpjk5GQsWrTIo3zu3Ln1aq/eQrG8vBz5+flo164dJkyYgHHjxqFNmzb1bS5g7HY7tm3bhlmzZillPM8jPz8fmzZt8qhvs9lgs9mU7YqKika3kYg0vCfTDiXavIqqck0ibkD/tJdFgjqkyzEook0RqZz2Bi57Ld0FvGfIWS1kGMBUdRinzfUnwqTx2DFOJ52ZlDpb9mBK+2SfpIwJYILGe8s4rchWC0fFa6r6XETw4FXH8PBcgUDrIeQ9HpRqQSzAPaNa06b64jBPcck0nyMDp7OB1/Ujj6EUGVMEnH7hCMPciq4wOhjzEDkeQlP38BPgKTB5VZ16paXXD05Ulxl/hRtAPZ/m/g4LuVg8S6pD+wsziMqhwymKEaOyfHsUmzdlZWXYsmULSktLIYraSMttt90WVFv1FoorVqzAiRMn8NZbb+GNN97AnDlzkJ+fj0mTJuHqq69GdHR0fZv2ycmTJyEIAjIyMjTlGRkZ2LNnj0f9BQsW1FtFE5GJJgTt1cWh9iYaje/TeRVlQuaOCNG8T9eElAY1oV4vugG5HN0i0T1dxDAPH9TeNXf6HMP1nzkGjrnzI8qeQVEn7nlOLaL9Xw8jD6M+vY5R0m1lv8rDyDR1fIsvecynCOb12mjs4rT/y31obdcfo7db7tvzWK9XKoBZLTw4iHplauDRDChfYKiF3dmIKp51MdpIbQZrQmO4ZBsJX+MQm/Os588//xy33HILqqqqkJiYqB2acjaFIgCkpaVh5syZmDlzJrZv346lS5fitttuQ3x8PG699VbceeedOOeccxrSRYOZNWuWMuMHkDyKubm5YbSIaEwM792G4WP1IzIAoWWQ6kYqNrrZ6GYq+5hBbTQTWn+MOrWNR5ucSdmvSZsTSC5FV5vq2cFG+RTV9bX5FHlNXQ4mGAlAqY5B/kTAFdL2/CzUZd5yKmrOz9vSfuo6qnJ9KNk97lC2X9eGQQhZ2fbh5eM09TjPOhoB6NmX4baHgPVeV2+DnobmE6wP3nIH1mct6UCpj/2hsFMmgjLK+EUQXffTCPAqttQ8ivfffz8mTpyI+fPnIzY2tsHthWQyS1FREdasWYM1a9bAZDLhL3/5C3bu3Inu3bvj2WefxX333ReKbgAAqampMJlMKCkp0ZSXlJQgMzPTo77FYoHFYglZ/0TLQPMw5vRyQi5W34Q8U+NI+9UeS20Sa8Cd2kZ9jD6PokcSbp0g9BQuPIySa8vwuj97/dhDE6J0dulS28CkScEjjzNUi0Bp0onas+iZHsdT8PCKZ1GfLsfdjzakrNgP+dqp23N5BlWiT5/XUJ8s21t6HHV9daoRfXtyv5omNCLTVUfz9dK2EEgeRF5lt+Ip1AtWL6Ix0Oiw30Tgqvd6x6NvCSHVbEham4baHmgv3rRQsBIpEHNCnWqnsbCLRmnAmiZOH9fobE2ACgeFhYW45557QiISgQYIRYfDgc8++wxLly7F6tWr0atXL8yYMQM333wzEhMTAQCffPIJJk6cGFKhaDab0a9fP6xduxajR48GAIiiiLVr1+Kuu+4KWT9E5FLfZ4RH+NPHndvrig2aiQfyo9zT4+ftWEXYyTkOOW1+Ql95FKU2dGLUQEgqwtBrHkXtmECphjaPokkvNplJ5wWMcoUd3Wsza8f4SWJSHp/oTRSqPxO92ORdok6W4SaVKFTs1oRcZPHovt56gcWDA89rJ72bXBWU3ItKA+7/eM794DHpFBoHrQNGLU7d56K2AR5fYp7z/F4bCVDNMfr6qvdGEWV/QsXrjGsEL5xEAwPqK3x82d0QT14obZQJRAwa2WwoasLkpTTzgPTtCm6J0nDQnGc2+2LEiBH4+eef0aFDh5C0V2+hmJWVBVEUMXbsWGzZsgV9+vTxqDN8+HAkJyc3wDxjZs6ciXHjxqF///4YMGAAFi5ciOrqamUWNEHUB48xch4pcoJFOyrMPWnFnyHecymqJ6hIYtGkvJcJaI1luT4TPSalmAxs1FwbJkDUCDLJBvU4QlF17iIYeE50peJxtyWLRCbNFFHUhuiSl9AJdwZthkYOnGabgekG++uEP5PUllLCGESO007u4Bg4pvUkyRNOmPwJ6B/aLpEoF3uELF1petz9aiex8NAJAQ4efYgwEBB+JjboQ2u8rlz/KTPtx+DRpBDCGc1G+Q/r35j3XfW1udGSeAfQiFFItKECNZTDKSPFE8fgL/TcfEXkyJEj8X//93/YvXs3evbs6TFn5KqrrgqqvXoLxRdffBE33HADrFar1zrJyckoKCiobxdeuemmm3DixAnMnj0bxcXF6NOnD1atWuUxwYVomRiOv/c5qcWPsFKOdT9iPdOVyOlwZOEmz3DWiz43HrOSwbtyJbpCqcz1gFAJP5FzasSmyCQ55e5AhKDLncig9WY6ZS+eHLJ15VKULODghDuPo2QzD8ChEqBSHkV5PKMAhxKKVo9J9Fi6T+WpFFT9KXZ5eBS125Ktcvs8nEwtVjnln1LGRI+wruwd1Iej1f1wnOzBlMtU+71MFFE14HFegC6Poi5crfFSqvrTh6f1++W2jAjV3P1QLQ9nhCb5dwPER2MstQd4CrbGWhIwWBuDHVsXiN3+PK9qG+0iq4cV4cHpw8xIEbz1YfLkyQCAefPmeezjOA6CEJw3uN5CMdhZM6HmrrvuolAz4RVDr4jfnIjq47ViyvNY3stgd6fmoa7OoyjhFoJMJVLduRSl2XhKHkVA8Zvp8ygqKXNkx6c6xG2QQxFweRsVR6l8+3cox4nq/eCgzqXIMw5GeRQ5jofA7FCPZZRFpN+8iUyrkNSTZtyeRSjXCZxnCNoorO1vkotbxKoFo1aMeYZudSFl+XP0muNQX1/bhr8E3up9+vC4vt1QEszkmfqi/+vTe/O9edC8nau3PIbebNW3Y9SfPxt9HRuonaEUsoo9DfB9Gl1HvY21EZRHsaWGntXpcEJBRK7MQhChQ30b9ONd9Dt72hsCoMkNqBYWLtGpzpFo4GmUdmjzKDLNuEL3DVGEy+uodjRCFomiNvWPGg66sDevyXHIwCnhY2mvCJGLUo7hZaEJHnCtzGJCFJhmFRfPvIl6eJiUZQFFCFoxCVceRSW8LXkq1WMoNQm5Obd3UrPCC/TiktPmPATnVZApn59mXT/3I0n9I0UzlYl5PohNnDbLJK9rVxnPqIh3KTei1q7AHoZGeTwDS+TNPMdMGnx/1JN8vGGYKkcd5vdis9S+LztVF8iPnVJb+n4864j6PyDNvuCor52+8HctpTr+8fisAZ/2CSLz/SE3IVrqZBY1dXV1PiO/gUBCkWhZ+Fw6IlRBNT0NnyXokS7HxzhE/cxo6XiVUPLxUPI1EYaDSftA4zxT2ci+O3WeQK0XzeTRP69PJ+QSbMw1XlB/Lu7Zzjpvo3K8sYdR713Uz6A2ypPoPnd47PM25k/9c0OeiiS/92jXI+yt2Q315Bu5b6N+DI31GEtp9OOAcx/jZXCiOm2P+s/Hq9dMVa7XE3LoXzsG1L3hOf7Th4AKwsvqdwa3gc0mqMaqclphphbvARFCW9X2qbe92hkkDbWvKdFSl/ATBAHz58/H4sWLUVJSgn379qFDhw54/PHH0b59e0yaNCmo9kgoEs0abwPzJfzMQtaIInULxp48N4HnUZT60QYf9bkU9XkU9eXK/5qwMOdZpgsbq9vUHKPOpegl1Cyfhz6HoloIGo5TZMbiTp8AW15WT+mbedqpPs6XEJTHLsrhZdnTp86Z6G99Z3d/gaP/1H2FlNX9623wNoYRaNisXm+2GfVj9DUP5Fp4egh125p92p2+PD5G4zd92RvM56aZIOWyIRR2Snapf3ipy3XHBWif2kZlW7MvMDXr64eRtN/9PpLyKLbUJfyeeuopvPHGG3j22WeV8YoA0KNHDyxcuJCEIkEAWqeKxzPOwKvoy8vmrqv30qmPMRmUGRyj2TYSc4HnUdTnUFQn1TbyDCr5CaEOH/sTg1ItXnUcB06TR1EWhO78iYCcHkdp18c4Qmm/W+TJYxPl/erxor5WTzFx7r2yEJRFoDw+UJ0iR58eR6mn8/LpPXj6Z6Q+5Oo5xk8Lz3kKBn3KHF6xyV1JI450bQbi5dE7Go0O8RyX6b8fdWog9XsZTYReVe45BlDbuK8HueHkH3iW1df7ZSQQ1YNDmEFdb3j7PhjZ6+0Yb/Yp26r3+oU8fZnnrRtf3wNBbKzIS+hpqQm333zzTbz++uu49NJLMXXqVKW8d+/ehivY+YOEItFs8XqDDPTp4aOe9KCvj+dQ+7gORCRqEmzrRJw6ubaSW1GXDNst8FxWcTq7oc+jqBN5Km+h3KaJRemOj9K0YWLaELNJ5V2UroxWCKpFoJyeR25PFor6tD287nqbwMGkuTZQci3K52+SFKOrfU6po7TBeT485byI8ng+b4JL/lFiJBz1YlPvadLkUeQ895tcbat/+Hh4ofx8rQMRioGIXF/tyjaqEb0IRX8pcgL2KMr/G4lHL9dEfy30GNnsVfD6EYoeXkX5fx/C399n6SHG1e/9D1302q9S7uN7IP098IiMPIotk8LCQnTq1MmjXBRFOByOoNsjoUg0S3zeIIzS3bjEima2s4fbyD0qTBIN6hulSRES7gkCcn05D6Leo8g8J60YTVjRpdjRD/7nPNZndqreayekcOA8HjI8RAhqgcVE3UQZATxMgGtSCgeTR5smJvkBFbs4rXAU4WpD6ZP3uN76sYn6cLSg8wGYdOFoERycKr+UPHlEnQqHV3kMeTCXkHSfi8B5jhPkmPu74csL5216k9FD12hlFv0saKV9WWj6EYZ6wRYIau+oX5HopdwbHsLPx/5g8yqqbVAPs5Tx5xn1hZF3zputgQgRX95CXzYbHWvUn+hjf6DhVX+fPeC2zy5EjvxqqZNZunfvju+++w7t2rXTlH/44Yc477zzgm6PhCJBuAgsrYS3XIrSzGZ5TJBxHkXPeYpq4SiJRrVHUXTnUgSkEDEnKjOk5ZnNym5OSrHD6ZJva8Upr6TXcZ83p5rsaJKEo9wfAI7pZmVzgpLKRz5GhFM3PlHQjE/kwQMqYa2ePCJPfNF6U6HxSKqPk3GqxKW8TxKYcr+usYnMLRZNzN2uOiyt1OeY5mp5PuT9Sw6fE0ygHY8o/a+dha4ek6j2jAU6jqwheeL9BRU9PKFe6gWTg9DfmDtvcJpr6kmwOSADsdlo/GIg+LNV2RfkZ+btutY3rBrI5y8JxcgI3LbUhNuzZ8/GuHHjUFhYCFEU8fHHH2Pv3r1488038cUXXwTdHglFotmjmxToKlSPU/Rcw8JolRbt5BZ5dRT3MVpPnroboxuSvEqJK88hxyn15du1egIHFHFhPJHGcHIKx2lOXh/CVuNO0M15lGn3824BqQprS1ZzgE6YGo13VOpqzs7k1e1jJBj1uRmlNl2hcdVMafXMaLU45RjvHhepGj+pF57+7AgU/dhKT9vd4tXIy6T9XLzboe7HMH1KEHa6+1O9139uPi6JcQjUs1AzA9pwv8p7retQvw53fez0Zgugtdefnf4I1Fb9fl/26W3U1/Fnp7/P28jGKsEeMTNBfJoZGadQL66++mp8/vnnmDdvHuLi4jB79mz07dsXn3/+OS677LKg22uxQvHXX3cguIAEESkE9EDn5HE2qvoeKWe8/752ix+TQZmnENPvV7fvba1mefyhe9sEjnOPJ3TvNxkeLx/j7s1T+LntNWnquMcjyvLK5BZfnAkmRLsmrjhcdUyQg8U8ZPHltlXObaje9hSLvv0Z+vpqcSVtM1fKEGnJQBPHgYfoGiPIwPGiK5+k7D10eerAKeMC1R4897Vq+H1CI/k5lQDk3KFlTmWD2i7AXaYdm2f8pFMHyNUep0DH0un7UNug368+Dw87dEMk1DYwj21Pm32Nw1Pb4raPaa6fbJ+/CTh6e41s1dvpzUajftT/y5+Z0XfN17X0ZqfR9fRlo6GX1cA2advzGB6AUAdsP/KbKz9q01VbDH5Cz2fNkvAwZMgQrFmzJiRttVihSDRfAgohMyl8wqkft5onke+7tfdfqsHPCPQqbH0IV+P1nP3nawxoHWh49zj6s8WXWPYQpwHaEghG4ljdvlpc6/vnfFy3UNqoadfj2vgX9L7sNIKFYLKBvk+9l1VTVzdJSj08QY9o8Jj2Z6+v9cx92am3y7ht477rY6cvArmevuw1sjMUNhp9t7x91nZWq0mi35TxNZyy6UrchtOhQwds3boVrVu31pSXlZWhb9++OHjwYFDtkVAkWjReRWUAoRVjgRf8Q8SwJ44DfDxoGQutgAkqrOpTPPm2q7GElxvjh6xRv/48mI2J7+tQ/2vIPCY2hYbG/NxCaXNj2Rnq69qU7fRnW6SIRMD3bTxCouf14tChQ4brOdtsNhQWFgbdHglFgqgnDVlT1X/j3tuWRF1oU1MEdSZec234F5vhuTmHTxAGQ0PGQBIE4UlLCz1/9tlnyvuvv/4aSUlJyrYgCFi7di3at28fdLskFAmCIAiCaHY0Y6ehIaNHjwYgjaseN26cZl90dDTat2+P559/Puh2SSgSRITRqJ7MhtBkYzliRHjrmurVI4hIxWd6nGb4ByeKkp80Ly8PW7duRWpqakjajYyYDEEQRANg9I/+0b+Q/YsUnKL3V7BCcePGjRg1ahSys7PBcRxWrFih2c8Yw+zZs5GVlYWYmBjk5+dj//79mjqnT5/GLbfcgsTERCQnJ2PSpEmoqqrS1Pntt98wZMgQWK1W5Obm4tlnnw36vAsKCkImEgHyKBIEQRAE0QwJpaStrq5G7969MXHiRFx77bUe+5999lm8/PLLeOONN5CXl4fHH38cI0aMwO7du2G1WgEAt9xyC4qKirBmzRo4HA5MmDABU6ZMwTvvvAMAqKiowOWXX478/HwsXrwYO3fuxMSJE5GcnIwpU6YEZe/atWuxdu1alJaWKp5GmSVLlgTVFglFgiAIgiCaHYKP4TDBisgrr7wSV155pXFbjGHhwoV47LHHcPXVVwMA3nzzTWRkZGDFihUYM2YM/vjjD6xatQpbt25F//79AQD//Oc/8Ze//AX/+Mc/kJ2djbfffht2ux1LliyB2WzGueeeix07duCFF14ISijOnTsX8+bNQ//+/ZGVldXgXLAkFAmCIAiCaHb4yqMoMmkmcEVFhabcYrHAYrEE1U9BQQGKi4uRn5+vlCUlJWHgwIHYtGkTxowZg02bNiE5OVkRiQCQn58PnuexefNmXHPNNdi0aRMuvvhimM1mpc6IESPwzDPP4MyZM2jVqlVA9ixevBjLli3DbbfdFtR5eIPGKBIEQRAE0ewQmfcXA7B9+3YkJSVpXgsWLAi6n+LiYgBARkaGpjwjI0PZV1xcjPT0dM3+qKgopKSkaOoYtaHuIxDsdjsGDx4c3En4gIQiQRAEQRDNCgbJo+jtxRjQt29flJeXa16zZs0Kt+kN5o477lDGPYYCCj0TBEEQBNHsEHxk1RYZYDKZkJiY2OB+MjMzAQAlJSXIyspSyktKStCnTx+lTmlpqeY4p9OJ06dPK8dnZmaipKREU0felusEQl1dHV5//XV888036NWrF6KjozX7X3jhhYDbAsijSBAEQRBEM0T08QrljOi8vDxkZmZi7dq1SllFRQU2b96MQYMGAQAGDRqEsrIybNu2Tamzbt06iKKIgQMHKnU2btwIh8Oh1FmzZg26dOkS8PhEQEqx06dPH/A8j127duGXX37RvIKFPIoEQRAEQTQvmO/JLMEKxaqqKhw4cEDZLigowI4dO5CSkoK2bdtixowZePLJJ3HOOeco6XGys7OV1VK6deuGK664ApMnT8bixYvhcDhw1113YcyYMcjOzgYA3HzzzZg7dy4mTZqEhx56CLt27cJLL72EF198MShb169fH+TZ+YaEIkEQBEEQzQ7mKz1OkCtJ/fzzzxg+fLiyPXPmTADAuHHjsGzZMjz44IOorq7GlClTUFZWhosuugirVq1ScigCwNtvv4277roLl156KXiex3XXXYeXX35Z2Z+UlITVq1dj+vTp6NevH1JTUzF79uyAU+MY5XfUw3EcPvroo0BPGwAJRYIgCIIgmiGh9CgOGzbMp7jkOA7z5s3DvHnzvNZJSUnxO8mkV69e+O6774K0TiIpKalex/mDhCJBEARBEM0Op5/JLM2NpUuXNkq7JBQJgiAIgmh2RNK61E2ZiJr1fOjQIUyaNAl5eXmIiYlBx44dMWfOHNjt9nCbRhAEQRBEE0IQvb+ao0exsYgoj+KePXsgiiL+9a9/oVOnTti1axcmT56M6upq/OMf/wi3eQRBEARBNBF8rvUc5GSWlkxECcUrrrgCV1xxhbLdoUMH7N27F6+99hoJRYIgCIIgFHwMUaSgdBBElFA0ory8HCkpKV7322w22Gw2ZVu/ADhBEARBEM0LBkDwEV/2JSIJLRE1RlHPgQMH8M9//hN/+9vfvNZZsGCBZsHv3Nzcs2ghQRAEQRDhQGDM64tCz4HTJITiww8/DI7jfL727NmjOaawsBBXXHEFbrjhBkyePNlr27NmzdIs+H306NHGPh2CIAiCIMKMCOb1RTIxcJpE6Pn+++/H+PHjfdbp0KGD8v748eMYPnw4Bg8ejNdff93ncRaLBRaLJRRmEgRBEAQRIficzHIW7Yh0moRQTEtLQ1paWkB1CwsLMXz4cPTr1w9Lly4FzzcJpyhBEARBEE0IkWY9h4QmIRQDpbCwEMOGDUO7du3wj3/8AydOnFD2ZWZmhtEygiAIgiCaEoIPvyFNZgmciBKKa9aswYEDB3DgwAHk5ORo9tGvA4IgCIIgZATmXQ7SKMXAiai47fjx48Fcs5X0L4IgCIIgCBnfk1lINwRKRHkUCYIgCIIg/MMgQPC6VyShGDAkFAmCIAiCaHY4fYxEJI9i4JBQJAiCIAiiWcEAiCQUQwIJRYIgCIIgmh0C5yv0TPOeA4WEIkEQBEEQzQ7yKIYGEooEQRAEQTQ7BM7pdR/jSCgGCglFgiAIgiCaHU54F4oUeg4cEooEQRAEQTQ7GIWeQwIJRYIgCIIgmh0CHF73MR85FgktJBQJgiAIgmhmMDg570KRQs+BQ0KRIAiCIIhmh6/QMyj0HDAkFAmCIAiCaHYIjDyKoYCEIkEQBEEQzQ4aoxgaSCgSBEEQBNHsoFnPoYGEIkEQBEEQzQoG36Fnxij0HCgkFAmCIAiCaHb4Ci/7nuhCqCGhSBAEQRBEs0NgPpbwo9BzwJBQJAiCIAiimcEg+gw902SWQCGhSBAEQRBEs8P3OETyKAYKCUWCIAiCIJodvj2KNEYxUEgoEgRBEATR7PA1RpESbgcOCUWCIAiCIJodPr2GjELPgUJCkSAIgiCIZofP0DN5FAOGhCJBEARBEM0OUfSRHofGKAYMCUWCIAiCIJodtIRfaCChSBAEQRBEM4ORRzFE8OE2oL7YbDb06dMHHMdhx44d4TaHIAiCIIgmhejjRR7FQIlYofjggw8iOzs73GYQBEEQBNEEEZnT64s8ioETkULxq6++wurVq/GPf/wj3KYQBEEQBNEEYczh9QWa9RwwEScUS0pKMHnyZLz11luIjY31W99ms6GiokLzIgiCIAiiecOY6ONVv9DzK6+8gvbt28NqtWLgwIHYsmVLiK1uekSUUGSMYfz48Zg6dSr69+8f0DELFixAUlKS8srNzW1kKwmCIAiCCDvM6f1VD4/i8uXLMXPmTMyZMwfbt29H7969MWLECJSWlobe9iZEkxCKDz/8MDiO8/nas2cP/vnPf6KyshKzZs0KuO1Zs2ahvLxceR09erQRz4QgCIIgiKYAg+D1VR+h+MILL2Dy5MmYMGECunfvjsWLFyM2NhZLliwJvfFNiCaRHuf+++/H+PHjfdbp0KED1q1bh02bNsFisWj29e/fH7fccgveeOMNj+MsFotHfYIgCIIgmjl+wsuCIHgMR/OmGex2O7Zt26ZxVPE8j/z8fGzatCk09jZRmoRQTEtLQ1pamt96L7/8Mp588kll+/jx4xgxYgSWL1+OgQMHNqaJBEEQBEFEAElJSQDkhNucl1oMe/fuVerKzJkzB0888YRH7ZMnT0IQBGRkZGjKMzIysGfPnhBY3XRpEkIxUNq2bavZjo+PBwB07NgROTk54TCJIAiCIIgmRHp6OiSBKAIwGdSQ8ii+++67io6QoQikJxElFAmCIAiCIPxx4kSpK1IpQjsdgyllweRiTk1NhclkQklJiaa8pKQEmZmZIbC46dIkJrPUl/bt24Mxhj59+oTbFIIgCIIgmgipqamQJI5+FRbpfW1tdVDtmc1m9OvXD2vXrlXKRFHE2rVrMWjQoAbb25QhjyJBEARBEM2OmpoqV75lBikULXkT//e//8FqtQbd3syZMzFu3Dj0798fAwYMwMKFC1FdXY0JEyaE2PKmBQlFgiAIgiCaHTExMXjjjTcwbtw4uIUiMHbs2Hq1d9NNN+HEiROYPXs2iouL0adPH6xatcpjgktzg2P1TU8eoVRUVLhmOZngfTYUQRAEQRC+YQAElJeXIzExMdzGGCKKIkwm+XnPsG7dOgwfPjzcZkUULU4olpeXIzk5GdLYBRKKBEEQBFE/pFBuWVmZR5qZpsQ333yDyy67DAAHxmiN52BpcaHnyspK1zv6shAEQRBEQ6msrGzSQjE/Px8Ajz//3B9uUyKSFudRFEURx48fR0JCAjiu+XoUKyoqkJubi6NHjzbZkECoaCnn2lLOE6BzbY60lPMEWs65MsZQWVmJ7Oxs8HxEJ1EhfNDiPIo8z7eo5NyJiYnN+kalpqWca0s5T4DOtTnSUs4TaBnn2pQ9iURooJ8ABEEQBEEQhCEkFAmCIAiCIAhDSCg2UywWC+bMmdMi1q1sKefaUs4ToHNtjrSU8wRa1rkSzZ8WN5mFIAiCIAiCCAzyKBIEQRAEQRCGkFAkCIIgCIIgDCGhSBAEQRAEQRhCQpEgCIIgCIIwhIQiQRAEQRAEYQgJxWbIU089hcGDByM2NhbJycmGdTiO83i99957Z9fQBhLIeR45cgQjR45EbGws0tPT8X//939wOp1n19BGon379h6f4dNPPx1usxrMK6+8gvbt28NqtWLgwIHYsmVLuE0KOU888YTHZ9e1a9dwmxUSNm7ciFGjRiE7Oxscx2HFihWa/YwxzJ49G1lZWYiJiUF+fj7274/MNXj9nev48eM9PucrrrgiPMYSRD0hodgMsdvtuOGGGzBt2jSf9ZYuXYqioiLlNXr06LNjYIjwd56CIGDkyJGw2+348ccf8cYbb2DZsmWYPXv2Wba08Zg3b57mM7z77rvDbVKDWL58OWbOnIk5c+Zg+/bt6N27N0aMGIHS0tJwmxZyzj33XM1n9/3334fbpJBQXV2N3r1745VXXjHc/+yzz+Lll1/G4sWLsXnzZsTFxWHEiBGoq6s7y5Y2HH/nCgBXXHGF5nN+9913z6KFBBECGNFsWbp0KUtKSjLcB4B98sknZ9WexsLbeX755ZeM53lWXFyslL322mssMTGR2Wy2s2hh49CuXTv24osvhtuMkDJgwAA2ffp0ZVsQBJadnc0WLFgQRqtCz5w5c1jv3r3DbUajo7/PiKLIMjMz2XPPPaeUlZWVMYvFwt59990wWBg6jO6p48aNY1dffXVY7CGIUEEexRbM9OnTkZqaigEDBmDJkiVgzSz3+qZNm9CzZ09kZGQoZSNGjEBFRQV+//33MFoWOp5++mm0bt0a5513Hp577rmIDqvb7XZs27YN+fn5ShnP88jPz8emTZvCaFnjsH//fmRnZ6NDhw645ZZbcOTIkXCb1OgUFBSguLhY8xknJSVh4MCBzfIzBoANGzYgPT0dXbp0wbRp03Dq1Klwm0QQQREVbgOI8DBv3jxccskliI2NxerVq3HnnXeiqqoK99xzT7hNCxnFxcUakQhA2S4uLg6HSSHlnnvuQd++fZGSkoIff/wRs2bNQlFREV544YVwm1YvTp48CUEQDD+zPXv2hMmqxmHgwIFYtmwZunTpgqKiIsydOxdDhgzBrl27kJCQEG7zGg35787oM24Of5N6rrjiClx77bXIy8vDn3/+iUceeQRXXnklNm3aBJPJFG7zCCIgSChGCA8//DCeeeYZn3X++OOPgAfEP/7448r78847D9XV1XjuuefCLhRDfZ6RRjDnP3PmTKWsV69eMJvN+Nvf/oYFCxbQGrNNnCuvvFJ536tXLwwcOBDt2rXD+++/j0mTJoXRMiKUjBkzRnnfs2dP9OrVCx07dsSGDRtw6aWXhtEygggcEooRwv3334/x48f7rNOhQ4d6tz9w4ED8/e9/h81mC6vICOV5ZmZmesyYLSkpUfY1RRpy/gMHDoTT6cShQ4fQpUuXRrCucUlNTYXJZFI+I5mSkpIm+3mFiuTkZHTu3BkHDhwItymNivw5lpSUICsrSykvKSlBnz59wmTV2aNDhw5ITU3FgQMHSCgSEQMJxQghLS0NaWlpjdb+jh070KpVq7B7okJ5noMGDcJTTz2F0tJSpKenAwDWrFmDxMREdO/ePSR9hJqGnP+OHTvA87xyrpGG2WxGv379sHbtWmUGviiKWLt2Le66667wGtfIVFVV4c8//8Rtt90WblMalby8PGRmZmLt2rWKMKyoqMDmzZv9ZmloDhw7dgynTp3SiGSCaOqQUGyGHDlyBKdPn8aRI0cgCAJ27NgBAOjUqRPi4+Px+eefo6SkBBdccAGsVivWrFmD+fPn44EHHgiv4UHi7zwvv/xydO/eHbfddhueffZZFBcX47HHHsP06dPDLogbyqZNm7B582YMHz4cCQkJ2LRpE+677z7ceuutaNWqVbjNqzczZ87EuHHj0L9/fwwYMAALFy5EdXU1JkyYEG7TQsoDDzyAUaNGoV27djh+/DjmzJkDk8mEsWPHhtu0BlNVVaXxjBYUFGDHjh1ISUlB27ZtMWPGDDz55JM455xzkJeXh8cffxzZ2dkRl54L8H2uKSkpmDt3Lq677jpkZmbizz//xIMPPohOnTphxIgRYbSaIIIk3NOuidAzbtw4BsDjtX79esYYY1999RXr06cPi4+PZ3Fxcax3795s8eLFTBCE8BoeJP7OkzHGDh06xK688koWExPDUlNT2f33388cDkf4jA4R27ZtYwMHDmRJSUnMarWybt26sfnz57O6urpwm9Zg/vnPf7K2bdsys9nMBgwYwH766adwmxRybrrpJpaVlcXMZjNr06YNu+mmm9iBAwfCbVZIWL9+veHf5bhx4xhjUoqcxx9/nGVkZDCLxcIuvfRStnfv3vAaXU98nWtNTQ27/PLLWVpaGouOjmbt2rVjkydP1qTrIohIgGOsmeVEIQiCIAiCIEIC5VEkCIIgCIIgDCGhSBAEQRAEQRhCQpEgCIIgCIIwhIQiQRAEQRAEYQgJRYIgCIIgCMIQEooEQRAEQRCEISQUCYIgCIIgCENIKBIEQRAEQRCGkFAkCIIgCIIgDCGhSBAEQRAEQRhCQpEgiCbBiRMnkJmZifnz5ytlP/74I8xmM9auXRtGywiCIFoutNYzQRBNhi+//BKjR4/Gjz/+iC5duqBPnz64+uqr8cILL4TbNIIgiBYJCUWCIJoU06dPxzfffIP+/ftj586d2Lp1KywWS7jNIgiCaJGQUCQIoklRW1uLHj164OjRo9i2bRt69uwZbpMIgiBaLPUeo3jgwAF8/fXXqK2tBQCQ3iQIIhT8+eefOH78OERRxKFDh8JtDkEQRIsmaI/iqVOncNNNN2HdunXgOA779+9Hhw4dMHHiRLRq1QrPP/98Y9lKEEQzx263Y8CAAejTpw+6dOmChQsXYufOnUhPTw+3aQRBEC2SoD2K9913H6KionDkyBHExsYq5TfddBNWrVoVUuMIgmhZPProoygvL8fLL7+Mhx56CJ07d8bEiRPDbRZBEESLJWihuHr1ajzzzDPIycnRlJ9zzjk4fPhwyAwjCKJlsWHDBixcuBBvvfUWEhMTwfM83nrrLXz33Xd47bXXwm0eQRBEiyQq2AOqq6s1nkSZ06dP08xEgiDqzbBhw+BwODRl7du3R3l5eZgsIgiCIIL2KA4ZMgRvvvmmss1xHERRxLPPPovhw4eH1DiCIAiCIAgifAQ9mWXXrl249NJL0bdvX6xbtw5XXXUVfv/9d5w+fRo//PADOnbs2Fi2EgRBEARBEGeReuVRLC8vx6JFi/Drr7+iqqoKffv2xfTp05GVldUYNhIEQRAEQRBhgBJuEwRBEARBEIYENJnlt99+C7jBXr161dsYgiAIgiAIoukQkEeR53lwHAfGGDiOU8rlQ9VlgiA0gpkEQRAEQRDE2SagWc8FBQU4ePAgCgoK8NFHHyEvLw+vvvoqduzYgR07duDVV19Fx44d8dFHHzW2vQRBEARBEMRZIugxigMGDMATTzyBv/zlL5ryL7/8Eo8//ji2bdsWUgMJgiAIgiCI8BB0HsWdO3ciLy/PozwvLw+7d+8OiVEEQRAEQRBE+AlaKHbr1g0LFiyA3W5Xyux2OxYsWIBu3bqF1DiCIAiCIAgifAQdet6yZQtGjRoFxpgyw/m3334Dx3H4/PPPMWDAgEYxlCAIgiAIgji7BO1RHDBgAA4ePIgnn3wSvXr1Qq9evfDUU0/h4MGDQYvEjRs3YtSoUcjOzgbHcVixYoXfYzZs2IC+ffvCYrGgU6dOWLZsWbCnQBAEQRAEQQRAQHkU9cTFxWHKlCkN7ry6uhq9e/fGxIkTce211/qtX1BQgJEjR2Lq1Kl4++23sXbtWtxxxx3IysrCiBEjGmwPQRAEQRAE4Sag0PNnn32GK6+8EtHR0fjss8981r3qqqvqZwjH4ZNPPsHo0aO91nnooYewcuVK7Nq1SykbM2YMysrKsGrVqnr1SxAEQRAEQRgTkEdx9OjRKC4uRnp6uk8hx3Fcoybc3rRpE/Lz8zVlI0aMwIwZM7weY7PZYLPZlG1RFHH69Gm0bt1akyicIFoCjDFUVlYiOzsbPB/0yBNChyiKOH78OBISEuh+QrQ46H7SMghIKIqiaPj+bFNcXIyMjAxNWUZGBioqKlBbW4uYmBiPYxYsWIC5c+eeLRMJIiI4evQocnJywm1GxHP8+HHk5uaG2wyCCCt0P2ne1GuMYiQxa9YszJw5U9kuLy9H27ZtcfToUSQmJobRsvpxutqOgpNVOHyyBkdO16CwrBZF5XUoqajDySobHEJQk9gDguOAlNhopCdakZlkRXZSDHJaxaBt61i0ax2H3FaxMPHkTYkEKioqkJubi4SEhHCb0iyQr2Ok3k8IoiHQ/aRlELRQnDdvns/9s2fPrrcx/sjMzERJSYmmrKSkBImJiYbeRACwWCywWCwe5YmJiU36xi6KDH+eqMKu4+XYVViBP4oqsLe4Eqeq7V6O4IGoGPBRQIIlCslx0Ui0RiPBGoU4cxSs0SZYonhEmTiYeB4cBzAm9eMQRdicImwOAdU2AdV2JypqHSivdaCs1gHGgDNO4MxpAXtPVwOo1vRsNvHomB6PrpkJODc7EedmJ6FHm0QkWKMb/ToR9YPCpKFBvo5N/X5CEI0J3U+aN0ELxU8++USz7XA4UFBQgKioKHTs2LFRheKgQYPw5ZdfasrWrFmDQYMGNVqfZ4sqmxPbDp/Bz4dOY9vhM/jtWDmqbE7Dum2SY9AhLQ7tWseibUos2iTHIivZioxEK1LjzbBEmUJml1MQcbrGjhOVNhSX1+F4WS2OnanFkdM1KDhZjYKT1bA5RfxRJInZT34pBCB5ITulxaNfu1bo3z4FA/NSkJsSGzK7CIIgCIJofIIWir/88otHWUVFBcaPH49rrrkmqLaqqqpw4MABZbugoAA7duxASkoK2rZti1mzZqGwsBBvvvkmAGDq1KlYtGgRHnzwQUycOBHr1q3D+++/j5UrVwZ7GmGnziFg2+Ez+OHASfzw5ynsKiyHIGrDxjHRJpybnYgebZLQPSsRXbMS0Ck9HrHmszdiIMrEIz3BivQEK87NTvLYL4oMx87UYm9JJfYUVeD34xXYWViOwrJa7C+twv7SKry39SgASeBe1CkVF52TiiHnpCI51nzWzoNo3mzcuBHPPfcctm3bhqKiIr8ZFAApJ+vMmTPx+++/Izc3F4899hjGjx9/VuwlCIKIFEKiOBITEzF37lyMGjUKt912W8DH/fzzzxg+fLiyLY8lHDduHJYtW4aioiIcOXJE2Z+Xl4eVK1fivvvuw0svvYScnBz85z//iZgcikdP12DdnlKs31uKnw6eQp1DOzEop1UMBuSloF+7VujbthXOSY9HlKlpzyTjeQ5tW8eibetYXNbdPdHoRKUNO46W4efDp7G14DR+OyaJx+U/H8Xyn4+C54C+bVshv3sGLuuegY5p8WE8CyLSoZysBEEQjUPQS/h54/vvv8eoUaNw5syZUDTXaFRUVCApKQnl5eWNPqaIMYadheVY/XsJ1uwuwd6SSs3+9AQLLuqUisGdUjGoY2u0STYeZ9kcqLE7saXgNL7ffxIb95/AvpIqzf6umQkY2TMLV/XJRrvWcWGysvlzNr//4eJs5mRtCdeTILxB3/+WQdAexZdfflmzzRhDUVER3nrrLVx55ZUhMyxSYYxhx9EyrPytCF/tKkZhWa2yz8Rz6N+uFYZ3TcfQzmnomtlycq/FmqMwrEs6hnVJBwAUltVi3R8lWL27BJv+PIU9xZXYU1yJ59fsQ9+2ybi+Xy7+2jsLiTQhhmgE6pOTFfDMy1pRUQEA+HPUVUiIipJmiAFgcP3+ln+Gy7/H1f8HWhdeynX7mb6erzb0BFseAPU5skF3w0Dvpb7qedsXZDkXQB2P8kC3VcWcvOG1rv5/L8f5qM+Bk7bV+zgO4IAqp/E4eqJ5EbRQfPHFFzXbPM8jLS0N48aNw6xZs0JmWKSxt7gSn+4oxGe/HsexM25xGBNtwrAuaRhxbiaGd0lHUiwJH0Aar3jboPa4bVB7lNXYsfr3Enz+23H8cOAkth8pw/YjZfj7F7sxqncWbhnYDr1zk8NtMtGMqE9OVsB7Xlbn8eNwmEI3iaylEvrkXkRjYm/EBTaIpkPQQrGgoKAx7IhISivr8NmO4/hoeyH+KKpQymPNJuR3y8DIXlkY2jkN1mh6gPgiOdaMG8/PxY3n56K0og4rdhTig5+PYX9pFd7/+Rje//kY+uQmY8KF7fGXnlmIbuLjNonmiz4vq5xHru3SJUiUc8npvTJwe2CkYp1nRlMX7mPU/3nz+CjVVX0ZNKNpw+MYfdd+PHNNIQoSqKfTVz0/bXgdleX1sAC8t348vB59ejRh4E325mFmXjzV+jZ0/zMDr7f8XtMmY6iorgJ0nnmi+dHsE26HGrtTxLo9Jfjg52PYsO+EMlM52sRhWJd0XNU7G/ndMhBjJnFYH9ITrZhycUdMHtIB2w6fwf9+OoyVO4uw42gZ7n1vB55dtReTLsrDmAG5Z3X2N9G8qE9OVsB7XtaYXr0QQ2O0iBaGUFHhvxIR8QT9pL3mmmsMx9VxHAer1YpOnTrh5ptvRpcuXUJiYFNhf0kllm89io9/KcRpVdLrPrnJuL5fDv7aK4vSvYQQjuPQv30K+rdPwaMju+OdzUfw5qZDKCyrxbwvdmPR+gO4Y0gebh/UHvEWEoxEcDTnnKwEQRChJOgnbFJSElasWIHk5GT069cPALB9+3aUlZXh8ssvx/Lly/HMM89g7dq1uPDCC0Nu8NmkziHgi9+K8N6WI/j5sHs2d3qCBdf2zcEN/XMorctZIC3Bgnvzz8HfhnbAR9uP4V/fHsSR0zV4dtVe/HvjQUwb1hG3D2pPIf4WTEvOyUoQBNGYBJ0e5+GHH0ZFRQUWLVoEnpfGiomiiHvvvRcJCQl46qmnMHXqVPz+++/4/vvvG8XohhDIdP4DpZV4e/MRfLTtGCrqpFldJp7DJV3TcVP/XAzrktbk8xs2Z5yCiM9+PY5/rjuAgpPScoIZiRbcl98ZN/TPpXWnfdBc01ls2LBBk5NVRs7JOn78eBw6dAgbNmzQHHPfffdh9+7dyMnJweOPPx50wu3mej0JIhDo+98yCFoopqWl4YcffkDnzp015fv27cPgwYNx8uRJ7Ny5E0OGDEFZWVkobQ0J3r7YDkHE6t9L8NZPh/DTwdNKeZvkGIwdkIsb++ciPdEaDpMJLzgFEZ/8UoiF3+xX0hB1yUjAoyO74eLOaWG2rmlCN/bQQteTaMnQ979lEHTo2el0Ys+ePR5Ccc+ePRBcU+WtVmvE5AcsrajD25uP4N0tR1BaKeVH4zngkq4ZuGVgW1zcOY08VE2UKBOPG/rn4qo+2Xhr02H8c90B7C2pxO1LtuDSrumYPao7Je8mCIIgiAYQtFC87bbbMGnSJDzyyCM4//zzAQBbt27F/PnzcfvttwMAvv32W5x77rmhtTTEbD98Gh/uPIBVu4rhdM1cTo23YOyAXIwd0BbZzXiVlOaGJcqEO4Z0wA39cvHS2v14c9MhrN1Tiu8OnMTUizvgzuGdaPwiQRAEQdSDoEPPgiDg6aefxqJFi5T0EhkZGbj77rvx0EMPwWQy4ciRI+B5Hjk5OY1idEOQXeW5M94Hb4kFAPRv1wq3D26PK87NhDmKxh5GOgdKqzD389/x3f6TAIB2rWPx5OgeGHIOhaMpVBRa6HoSLRn6/rcMGrTWs7x8VSR9QeQvdscHPsS1Azvh9kHt0aNNUrjNIkIMYwxf7SrG3M9/R0mFNKTgur45ePyv3Vp0GiO6sYcWup5ES4a+/y2DernPnE4nvvnmG7z77rvKWMTjx4+jqqoqpMY1Jt/MHIpnr+9NIrGZwnEc/tIzC9/MHIrxg9uD44CPth9D/gsb8fXvxeE2jyAIgiAigqCF4uHDh9GzZ09cffXVmD59Ok6cOAEAeOaZZ/DAAw+E3MDGIiWu5XqVWhIJ1mg8cdW5+HDqYHRKj8fJKhv+9tY2zHjvF5TXOsJtHkEQBEE0aYIWivfeey/69++PM2fOaJa6uuaaa7B27dqQGkcQoaJfu1b44u6LMG1YR/AcsGLHcVyxcCN+PHAy3KYRBEEQRJMlaKH43Xff4bHHHoPZrPXItW/fHoWFhSEzjCBCjTXahIeu6IoPpw1G+9axKCqvwy3/3Yynv9oDhyCG2zyCIAiCaHIELRRFUVTyJao5duwYEhISQmIUQTQmfdu2wsp7hmDsgFwwBiz+9k9cv3gTjp6uCbdpBEEQBNGkCFooXn755Vi4cKGyzXEcqqqqMGfOHPzlL38JpW0E0WjEWaKw4NpeWHxrXyTFROPXo2X4y8vfYdUumuhCEARBEDJBC8Xnn38eP/zwA7p37466ujrcfPPNStj5mWeeaQwbCaLRuKJHFlbecxH6tk1GZZ0TU/+3DU+t3E2haIIgCIJAPfMoOp1OvPfee/jtt99QVVWFvn374pZbbtFMbmmqUN4nwgiHIOLZVXvw7+8KAAAD8lLwys19kZZgCbNloYW+/6GFrifRkqHvf8sgaKFYV1cHq9XaWPY0OvTFJnyxalcRHvjgN1TZnMhMtGLxbf3QJzc53GaFDPr+hxa6nkRLhr7/LYOgQ8/p6ekYN24c1qxZA1Gk8BzRvLiiRxZWTL8QHdPiUFxRhxv/tQkfbTsWbrMIgiAIIiwELRTfeOMN1NTU4Oqrr0abNm0wY8YM/Pzzz41hG0GEhU7p8Vgx/UJc1j0DdqeI+z/4FfO//AOCWO/VLgmCIAgiIglaKF5zzTX44IMPUFJSgvnz52P37t244IIL0LlzZ8ybN68xbCSIs06CNRr/urUf7r6kEwDg9Y0H8be3fka1zRlmywiCIAji7FGvtZ4BICEhARMmTMDq1avx22+/IS4uDnPnzg26nVdeeQXt27eH1WrFwIEDsWXLFp/1Fy5ciC5duiAmJga5ubm47777UFdXV9/TIAiv8DyH+y/vgpfHngdzFI9v/ijFDYs3obicvm8EQRBEy6DeQrGurg7vv/8+Ro8ejb59++L06dP4v//7v6DaWL58OWbOnIk5c+Zg+/bt6N27N0aMGIHS0lLD+u+88w4efvhhzJkzB3/88Qf++9//Yvny5XjkkUfqexoE4Zeremdj+ZQLkBpvxu6iCox+5QfsPl4RbrMIgiAIotEJWih+/fXXGDduHDIyMjBt2jRkZGRg9erVOHz4MJ5++umg2nrhhRcwefJkTJgwAd27d8fixYsRGxuLJUuWGNb/8ccfceGFFyq5Gy+//HKMHTvWrxeSIBrKeW1b4ZM7L0Sn9Hhlkst3+0+E2yyCIAiCaFTqNUaxtrYWb775JoqLi/Gvf/0LF198cdAd2+12bNu2Dfn5+W5jeB75+fnYtGmT4TGDBw/Gtm3bFGF48OBBfPnllz5XhLHZbKioqNC8CKI+5KbE4qOpgzEwLwVVNicmLN2Kj7fTjGiCIAii+RIV7AElJSUhWdP55MmTEAQBGRkZmvKMjAzs2bPH8Jibb74ZJ0+exEUXXQTGGJxOJ6ZOneoz9LxgwYJ6jZ0kCCOSYqPx5qQB+L8PfsNnvx7HzPd/RWmlDX+7uAM4jgu3eQRBEAQRUoL2KKpFYl1d3Vn11m3YsAHz58/Hq6++iu3bt+Pjjz/GypUr8fe//93rMbNmzUJ5ebnyOnr0aKPaSDR/LFEmLLypDyYPyQMAPP3VHsz/8g/UY5EjIsTQ5DiCIIjQErRHsbq6Gg899BDef/99nDp1ymO/IAgBtZOamgqTyYSSkhJNeUlJCTIzMw2Pefzxx3HbbbfhjjvuAAD07NkT1dXVmDJlCh599FHwvKfutVgssFia1zJsRPjheQ6PjuyO9AQrnvryD/z7uwKcqXHg6Wt7IspU7zliRAOQJ8ctXrwYAwcOxMKFCzFixAjs3bsX6enpHvXlyXFLlizB4MGDsW/fPowfPx4cx+GFF14IwxkQBEE0PYJ+oj344INYt24dXnvtNVgsFvznP//B3LlzkZ2djTfffDPgdsxmM/r164e1a9cqZaIoYu3atRg0aJDhMTU1NR5i0GQyAQB5c4iwMPniDvjHDb1h4jl8uO0Y7nx7O+ocgf1YIkLL2ZgcR2OeCYJoaQQtFD///HO8+uqruO666xAVFYUhQ4bgsccew/z58/H2228H1dbMmTPx73//G2+88Qb++OMPTJs2DdXV1ZgwYQIA4Pbbb8esWbOU+qNGjcJrr72G9957DwUFBVizZg0ef/xxjBo1ShGMBHG2ub5fDhbf2g/mKB6rd5dg4rKtlJj7LHO2JsctWLAASUlJyis3Nze0J0IQBNHECDr0fPr0aXTo0AEAkJiYiNOnTwMALrroIkybNi2otm666SacOHECs2fPRnFxMfr06YNVq1YpE1yOHDmi8SA+9thj4DgOjz32GAoLC5GWloZRo0bhqaeeCvY0CCKkXNY9A29MGIA73tiKH/88hdv+uxlLJwxAUkx0uE1rEZytyXGzZs3CzJkzle2KigoSiwRBNGuCFoodOnRAQUEB2rZti65du+L999/HgAED8PnnnyM5OTloA+666y7cddddhvs2bNigNTYqCnPmzMGcOXOC7ocgGptBHVvj7ckX4Pb/bsb2I2W4+d8/4a1JA5ESZw63aU0SQRCwbNkyrF27FqWlpRBFUbN/3bp1jdq/enLcwIEDceDAAdx77734+9//jscff9zwGBrzTBBESyNooThhwgT8+uuvGDp0KB5++GGMGjUKixYtgsPhoAHgRIunT24y3psyCLf9dzN+P16hiMW0BBIXeu69914sW7YMI0eORI8ePRqUXuhsTY4jmg+CIMDhcITbjCaNyWRCVFQUpf5q4QQtFO+77z7lfX5+Pvbs2YNt27ahU6dO6NWrV0iNI4hIpHt2Ipb/7QLc/O/N2FNciTGvb8K7ky9AeqI13KY1Kd577z28//77PscEBop6ctzo0aMBuCfHeYtY0OS4lktVVRWOHTtGn3MAxMbGIisrC2YzRUZaKkELxbq6Olit7gdeu3bt0K5du5AaRRCRTqf0BCz/2yDc/O+f8OeJaox5/Se8M/kCZCaRWJQxm83o1KlTyNqbOXMmxo0bh/79+2PAgAFYuHChx+S4Nm3aYMGCBQCkyXEvvPACzjvvPCX0TJPjmj+CIODYsWOIjY1FWloaecu8wBiD3W7HiRMnUFBQgHPOOYe87C2UoIVicnIyBgwYgKFDh2LYsGEYPHgwYmJiGsM2goho8lLjsHzKIIz99084eLIaY//9E96bcgEyyLMIALj//vvx0ksvYdGiRSF5WNPkOCIQHA4HGGNIS0ujZ5cfYmJiEB0djcOHD8Nut2ucRETLgWNB+t6///57bNy4ERs2bMCPP/4Ip9OJ/v37K8LxsssuayxbQ0JFRQWSkpJQXl6OxMTEcJtDtACOnq7BmNd/QmFZLTqkxuHdMIrFpvT9v+aaa7B+/XqkpKTg3HPPRXS0dob4xx9/HCbLAqcpXU8iMOrq6lBQUIC8vDwSPgHg63rR979lELQf+aKLLsIjjzyC1atXo6ysDOvXr0enTp3w7LPP4oorrmgMGwkioslNicV7Uy5Am+QYxbNYWknLxCUnJ+Oaa67B0KFDkZqaqslPmJSUFG7zCIIgCNQj9AwA+/btw4YNG5SXzWbDX//6VwwbNizE5hFE80AWi2Ne/wkHT1Tjln9vxrtTLkBqfMudDb106dJwm0AQBEH4IWih2KZNG9TW1mLYsGEYNmwYHnroIfTq1YsGBBOEH3JTYvHO5IG46V8/YX9pFW79z2a8N+UCJMe27NmEJ06cwN69ewEAXbp0QVpaWpgtIgiCIGSCDj2npaWhpqYGxcXFKC4uRklJCWpraxvDNoJodrRrHYd3Jkt5FfcUV+L2JVtQUdcyc7lVV1dj4sSJyMrKwsUXX4yLL74Y2dnZmDRpEmpqasJtHkE0GTiO8/l64okncOjQIa/7f/rpJ6WtDRs2oG/fvrBYLOjUqROWLVsWvhMjIoKgheKOHTtQXFyMhx9+GDabDY888ghSU1MxePBgPProo41hI0E0KzqkxePtO6QVW347Vo5Jy7aixt7y1oaeOXMmvv32W3z++ecoKytDWVkZPv30U3z77be4//77w20eQTQZioqKlNfChQuRmJioKXvggQeUut98841mX1FREfr16wcAKCgowMiRIzF8+HDs2LEDM2bMwB133IGvv/46XKdGRABBz3pWc+rUKWzYsAGffvop3n33XYiiCEEQQmlfyKFZWkRT4ffj5Rjz+k+orHNiyDmp+M+4/rBENW7+vqb0/U9NTcWHH37oMbZ5/fr1uPHGG3HixInwGBYETel6EoGhn8XLGEOtIzzPrZhoU9DDtpYtW4YZM2agrKxMU37o0CHk5eXhl19+QZ8+fQyPfeihh7By5Urs2rVLKRszZgzKysqwatUqw2No1jMR9BjFjz/+WJnEsnv3bqSkpOCiiy7C888/j6FDhzaGjQTRLDk3OwnLJgzAbf/djO/2n8S97+7AopvPQ5SpZSS1rampUXIcqklPT6fQM3HWqHUI6D47PB613fNGINZcrzml9WLTpk3Iz8/XlI0YMQIzZsw4azYQkUfQT6SpU6fi+PHjmDJlCn755ReUlpbi448/xj333IPevXs3ho0E0Wzp164V/n17f5hNPFb9XoyHP94JUWwZy4oNGjQIc+bMQV2dO1VQbW0t5s6di0GDBoXRMoKIXAYPHoz4+HjNS6a4uNjjx1lGRgYqKiporgHhlaB/ypSWljaGHQTRYrmwUyr+efN5mPa/bfhw2zG0io3GI3/p1uwzCbz00ksYMWIEcnJylB+Zv/76K6xWK42ZIs4aMdEm7J43Imx9h5rly5ejW7duIW+XaLmcPZ83QRBeGXFuJp69vjce+OBX/Pu7AqTEWTBtWMdwm9Wo9OjRA/v378fbb7+NPXv2AADGjh2LW265hZZWI84aHMed1fBvY5Obm+t1DfXMzEyUlJRoykpKSpCYmEh/c4RXms9fB0FEONf3y0FZjR1PrvwDz6zag5S4aNx0fttwm9WoxMbGYvLkyeE2gyBaBIMGDcKXX36pKVuzZg0N9SB8QkKRIJoQdwzpgFPVdry24U/M+ngnUuIsuKy754SPSOWzzz7DlVdeiejoaHz22Wc+61511VVnySqCaD6cOnUKxcXFmrLk5GRYrVZMnToVixYtwoMPPoiJEydi3bp1eP/997Fy5cowWUtEAiQUCaKJ8eCILjhZacMH247hrne24+07BqJ/+5RwmxUSRo8ejeLiYqSnp2P06NFe63Ec1+RTbRFEU0Q/qxkA3n33XYwZMwZ5eXlYuXIl7rvvPrz00kvIycnBf/7zH4wYEZ4xmkRk0KA8ioCUR2ndunXo0qVLRAygpbxPRCTgFET87a1tWLunFEkx0fho2iB0Sk9ocLv0/Q8tdD0jD195AQlPKI8iEXR6nBtvvBGLFi0CIKWy6N+/P2688Ub06tULH330UcgNJIiWSJSJx6Kb++K8tskor3Xg9v9uQXF5nf8DI4g333wTNpvNo9xut+PNN98Mg0UEQRCEnqCF4saNGzFkyBAAwCeffALGGMrKyvDyyy/jySefDLmBBNFSiTGb8N9x56NDahyOl9dh/NItqGxG60JPmDAB5eXlHuWVlZWYMGFCGCwiCIIg9AQtFMvLy5GSIo2XWrVqFa677jrExsZi5MiR2L9/f8gNJIiWTEqcGW9MHIDUeAv2FFdi2v+2w+4Uw21WSGCMGeaKPHbsGJKSksJgEUEQBKEn6Mksubm52LRpE1JSUrBq1Sq89957AIAzZ87QeA+CaARyU2KxbML5uPFfm/D9gZOY9fFO/OOGXhGbkPu8884Dx3HgOA6XXnopoqLctyFBEFBQUIArrrgijBYSBEEQMkF7FGfMmIFbbrkFOTk5yM7OxrBhwwBIIemePXsGbcArr7yC9u3bw2q1YuDAgdiyZYvP+mVlZZg+fTqysrJgsVjQuXNnj7xQBNHc6NEmCa/c0hcmnsNH24/hxW8i13s/evRoXH311WCMYcSIEbj66quV15gxY/Cvf/0L//vf/8JtJkEQBIF6eBTvvPNODBgwAEePHsVll10Gnpe0ZocOHYIeo7h8+XLMnDkTixcvxsCBA7Fw4UKMGDECe/fuRXp6ukd9u92Oyy67DOnp6fjwww/Rpk0bHD58GMnJycGeBkFEHMO7pOPJ0T0w6+OdeHntfuS2isEN/XPDbVbQzJkzBwDQvn17jBkzBhaLJcwWEQRBEN4I2qMIAP3798c111yjWWx85MiRuPDCC4Nq54UXXsDkyZMxYcIEdO/eHYsXL0ZsbCyWLFliWH/JkiU4ffo0VqxYgQsvvBDt27fH0KFDlXViCaK5M3ZAW0wfLi3tN+vjnfh+/8kwW1R/unfvjh07dniUb968GT///HO92qQIBUEQRGgJ2qM4ceJEn/u9iTw9drsd27Ztw6xZs5QynueRn5+PTZs2GR7z2WefYdCgQZg+fTo+/fRTpKWl4eabb8ZDDz0Ek8l4cXWbzaZJwVFRURGQfQTRVLn/si44eroWn/16HNP+tw0f3TkYnTManmPxbDN9+nQ8+OCDGDhwoKa8sLAQzzzzDDZv3hxUexShIAiCCD1BC8UzZ85oth0OB3bt2oWysjJccsklAbdz8uRJCIKAjAzt8mQZGRnYs2eP4TEHDx7EunXrcMstt+DLL7/EgQMHcOedd8LhcCjhLD0LFizA3LlzA7aLIJo6PM/huRt6oai8FlsPncGEpVuxYvqFSEuIrBDu7t270bdvX4/y8847D7t37w66PXWEAgAWL16MlStXYsmSJXj44Yc96ssRih9//BHR0dEApHA4QRAE4Sbo0PMnn3yieX3xxRc4ePAgbrrpJlxwwQWNYaOCKIpIT0/H66+/jn79+uGmm27Co48+isWLF3s9ZtasWSgvL1deR48ebVQbCeJsYIky4fXb+iMvNQ6FZbW4482fUeeIrCXvLBYLSkpKPMqLioo0M6EDQY5QqJcvCyZCkZGRgR49emD+/Pk+lw602WyoqKjQvAiCIJoz9Rqj6NEIz2PmzJl48cUXAz4mNTUVJpPJ40FRUlKCzMxMw2OysrLQuXNnTZi5W7duKC4uht1uNzzGYrEgMTFR8yKI5kCrODOWjD8fybHR+PVoGe5//1eIYoNW5DyrXH755coPOZmysjI88sgjuOyyy4Jqy1eEori42PCYgwcP4sMPP4QgCPjyyy/x+OOP4/nnn/c5KW/BggVISkpSXrm5kTeZiIg85HRS3l5PPPEEDh065HX/Tz/9BED6EXbzzTejc+fO4HkeM2bMCO+JERFBSIQiAPz5559wOp0B1zebzejXrx/Wrl2rlImiiLVr12LQoEGGx1x44YU4cOAARNGdcHjfvn3IysqC2Wyuv/EEEaHkpcbhX7f2Q7SJw8qdRXh+zd5wmxQw//jHP3D06FG0a9cOw4cPx/Dhw5GXl4fi4mI8//zzjd4/RSiISKGoqEh5LVy4EImJiZqyBx54QKn7zTffaPYVFRWhX79++P/27jysqmr/H/j7gIzKjCIgk+IIOIGgZqldjMxEGxEtcB4JE/WmpeCUqKk45I3EzLopomnWDfOWfMFESa4KXpwQFUQLEFBBQFFg/f7gx7keOSAbDxyG9+t5zvN41p4+e7ufxeesvfZaQGWLePv27bFkyRK+BEp1JrmPYlBQkMJ3IQSysrIQHR0Nf39/yfvy9/eHm5sb3N3dsWnTJhQXF8v7GPn5+cHa2hqhoaEAgFmzZuHzzz/H3Llz8cEHHyAtLQ2rV69GYGCg1NMgajE8Opsh9M3eWLD/HLbFXkNn83Z4y7WTusN6Jmtra/z3v//F7t27ce7cOejp6WHSpEnw9fWV9xmsq/o+odDS0qrxCYWyH586OjoczqelEQJ4XKKeY2vpA3UYOP/Je9jIyAgymazafZ2XVzkCgpmZWY33vL29PTZv3gyg7i+eEklOFJOSkhS+a2hooH379tiwYcMz34h+mo+PD3JzcxEcHIzs7Gz07dsXR44ckT8+yszMlI/TCFTOCvPvf/8b8+bNQ+/evWFtbY25c+fio48+knoaRC3K266dkJ5XhG2x17Do4H9hY6oPdwdTdYf1TG3btsX06dOfez9PPqEYO3YsgP89oQgICFC6zQsvvIA9e/agoqJCXs/wCUUr9LgEWG2lnmN//Beg3VY9xyaqI8mJYmxsrEoDCAgIqLEij4uLq1Y2aNAgeX8LIvqf+SO6Iz2vGIdTsjHjn6fx45whsDXTV3dYz3Tx4kVkZmZW62fs7e0taT98QkEEDB48WKGBBQCKiorUFA21BJITxSq3b99Gamplf6ju3bsrHaeMiBqPhoYMG97pi5t3EpDyZwGmfPMfHJg9GIa60h7jNpbr16/jjTfeQEpKCmQyGYSofBGnag7r2t4+VoZPKKhetPQrW/bUdWwVi4qKQs+ePVW+X2q9JCeKhYWFmDNnDiIjI+UvlWhqasLHxwfbtm2DkZGRyoMkorrR09ZEhJ8bxmyLR9rtIgRGJuEr/wHQ1Hh2P6jGNnfuXDg4OCAmJgYODg5ITExEfn4+5s+fj/Xr19drn3xCQZLJZC3q8a+NjQ0cHR3VHQa1IJLfep42bRpOnTqF6Oho3Lt3D/fu3cPPP/+M06dPY8aMGQ0RIxFJ0NFIFzv8BkBXSwNxqblYffiSukNSKiEhAStWrIC5uTk0NDSgoaGBIUOGIDQ0lI9/iYiaCMktij///DP+/e9/Y8iQIfIyLy8vRERE4NVXX1VpcERUPy6djLDhnb6Ys+csvopPRzeLdvAZYKvusBSUl5fDwKBy6kFzc3P89ddf6N69O+zs7OTdWohImvz8/GpjhxobG0NXVxcA5POrFxUVITc3F8nJydDW1kavXr0aO1RqJiQnimZmZkofLxsZGcHExEQlQRHR8xvV2xJpt7ti09E0LDl0Hg7m7dDDrN7dklXO2dkZ586dg4ODAzw8PLBu3Tpoa2tj+/bt6Ny5s7rDI2qWnpydqEpkZCTGjRsHoHKKzCpnzpzBnj17YGdnh4yMjMYKkZoZyY+elyxZgqCgIIVfLNnZ2Vi4cCGWLl2q0uCI6PnM/VtXjHKxxONygZnfncGtO2oaL06JJUuWyPs5r1ixAunp6XjxxRdx+PBhbNmyRc3RETVNEydOxL1796qV29vbQwih9FOVJAJQupxJItWmTs0L/fr1k7+JCABpaWmwtbWFrW3lo6zMzEzo6OggNzeX/RSJmhCZTIb17/TBjTvFOP9nIQL3Jj17o0bi5eUl/7ejoyMuX76MO3fuwMTERKG+ISIi9alTolg1gC0RNT962prY/r4bvD8/gSs5d9UdDgDg8ePH0NPTQ3JyMpydneXlpqZNf5BwIqLWpE6JYkhISEPHQUQNyMpYD1++3x/vbv0/dYcCANDS0oKtra3ksRKJiKhxSe6jSETNk6udKZaOajpvNn7yySf4+OOPcefOHXWHQkRENWg6r0ASUYN707UTJqk7iP/v888/x9WrV2FlZQU7Ozu0bas46PHZs2fVFBkREVVhokhEasG+z0RETR8TRSJqNFu2bMH06dOhq6uLSZMmoVOnTgrzLxMRUdPyXDV01RhMRER1ERQUhMLCQgCAg4MD8vLy1BwRERHVpl6J4rfffgsXFxfo6elBT08PvXv3xj//+U9Vx0ZELYyVlRUOHDiAGzduQAiBW7duITMzU+mHiIjUT/Kj540bN2Lp0qUICAjACy+8AACIj4/HzJkzkZeXh3nz5qk8SCJqGZYsWYIPPvgAAQEBkMlkGDBgQLV1hBCQyWQcOoeIqAmQnChu3boVX3zxBfz8/ORl3t7ecHJywrJly5goElGNpk+fDl9fX9y4cQO9e/fG0aNHYWZmpu6wiJq0Z81UFBISgokTJ8LBwUHp8oSEBAwcOBAHDx7EF198geTkZJSWlsr/bj85SxLR0yQnillZWRg8eHC18sGDByMrK0slQRFRy2VgYABnZ2d8/fXXeOGFF6Cjo6PukIiatCf/tkZFRSE4OBipqanysnbt2sn7+x49ehROTk4K21f9GPv9998xYsQIrF69GsbGxvj6668xevRonDp1Cv369WuEM6HmSHKi6OjoiH379uHjjz9WKI+KikLXrl1VFhgRtWz+/v7qDoEIQgg8KHuglmPrtdGr07zmHTt2lP/byMgIMplMoQyAPFE0MzOrtqzKpk2bFL6vXr0aP/74I/71r38xUaQaSU4Uly9fDh8fH/z+++/yPoonTpxATEwM9u3bp/IAiYiIGsqDsgfw2OOhlmOfGn8K+lr6ajk2AFRUVOD+/fucY51qJTlRfOutt3Dq1CmEhYXh0KFDAICePXsiMTGRv0iIiIjUaPDgwdXGJi0qKlK67vr161FUVIR33323MUKjZqpeA267urriu+++U3UsREREjUqvjR5OjT+ltmOrWlRUFHr27PnM9fbs2YPly5fjxx9/RIcOHVQeB7UcksdR1NTUxO3bt6uV5+fnQ1NTUyVBEVHr8ejRI6SmpqKsrOy597Vt2zbY29tDV1cXHh4eSExMrNN2e/fuhUwm47SCrZBMJoO+lr5aPnXpnyiVjY0NHB0dFT5P27t3L6ZOnYp9+/bB09NT5TFQyyI5UaxpJpbS0lJoa2s/d0BE1DqUlJRgypQp0NfXh5OTk3yQ7Q8++ABr1qyRvL+oqCgEBQUhJCQEZ8+eRZ8+feDl5aX0h+2TMjIysGDBArz44ov1Og+i5iQyMhKTJk1CZGQkRo0ape5wqBmoc6K4ZcsWbNmyBTKZDDt27JB/37JlC8LCwjBnzhz06NGjXkGwFYCo9Vm8eDHOnTuHuLg46Orqyss9PT0RFRUleX8bN27EtGnTMGnSJPTq1Qvh4eHQ19fHzp07a9ymvLwcEyZMwPLly9G5c+d6nQdRU5Kfn4/s7GyFz8OHDwFUPm728/PDhg0b4OHhIV9eUFCg5qipKatzH8WwsDAAlS2K4eHhCo+ZtbW1YW9vj/DwcMkBVLUChIeHw8PDA5s2bYKXlxdSU1Nr7TfBVgCi5u3QoUOIiorCwIEDFR7BOTk54dq1a5L29ejRI5w5cwaLFy+Wl2loaMDT0xMJCQk1brdixQp06NABU6ZMwfHjx595nNLSUpSWlsq/V81bTdRUKHuUHBkZiXHjxmH79u0oKyvDnDlzMGfOHPlyf39/7Nq1qxGjpOakzolieno6AGD48OE4ePAgTExMVBLAk60AABAeHo7o6Gjs3LkTixYtUrrNk60Ax48fx71791QSCxE1ntzcXKU/BouLiyX33crLy0N5eTksLCwUyi0sLHD58mWl28THx+Orr75CcnJynY8TGhqK5cuXS4qNSJUmTpyIiRMnViu3t7evsWtYlbi4uIYJilo0yX0UY2NjVZYkVrUCPPkLSGorwLOUlpaisLBQ4UNE6ufm5obo6Gj596rkcMeOHRg0aFCDHvv+/ft4//33ERERAXNz8zpvt3jxYhQUFMg/N2/ebMAoiYjUr17D46hKY7QCsAWAqGlavXo1Ro4ciYsXL6KsrAybN2/GxYsXcfLkSRw7dkzSvszNzaGpqYmcnByF8pycHKWzVFy7dg0ZGRkYPXq0vKyiogIA0KZNG6SmpqJLly7VttPR0eGUg0TUqkhuUVSn+rQCsAWAqGkaMmQIkpOTUVZWBhcXF/z666/o0KEDEhIS4OrqKmlf2tracHV1RUxMjLysoqICMTExSlsne/TogZSUFCQnJ8s/3t7eGD58OJKTk2FjY/Pc50dE1BKotUWxMVoB2AJA1HR16dIFERERKtlXUFAQ/P394ebmBnd3d2zatAnFxcXy/s9+fn6wtrZGaGgodHV14ezsrLC9sbExAFQrJyJqzdSaKD7ZClA1xE1VK0BAQEC19ataAZ60ZMkS3L9/H5s3b2YrAFETJ6WPsKGhoaR9+/j4IDc3F8HBwcjOzkbfvn1x5MgRedeWzMzMalObERFR7eqVKN67dw+JiYm4ffu2vEWvip+fn6R9sRWAqPUwNjau8xvN5eXlkvcfEBCg9Ecm8Ow3Pjk8CBFRdZITxX/961+YMGECioqKYGhoqFDpy2QyyYkiWwGIWo/Y2Fj5vzMyMrBo0SJMnDhR3o8wISEB33zzDUJDQ9UVIhERPUEmnjXw0lO6deuG1157DatXr4a+vn5DxdVgCgsLYWRkhIKCAsmPtoiau6Z0///tb3/D1KlT4evrq1C+Z88ebN++vVmM+daUrifVzcOHD5Geng4HBweFGYFIudquF+//1kFyU92ff/6JwMDAZpkkElHTkZCQADc3t2rlbm5udZ7Gk4iIGpbkRNHLywunT59uiFiIqBWxsbFR+sbzjh07+GIaEVETIbmP4qhRo7Bw4UJcvHgRLi4u0NLSUlju7e2tsuCIqOUKCwvDW2+9hV9++QUeHh4AgMTERKSlpeHAgQNqjo6o6XjWC2AhISGYOHEiHBwclC5PSEjAwIEDER8fj48++giXL19GSUkJ7OzsMGPGDMybN68hwqYWQnKiOG3aNACV0+g9TSaT1etNRSJqfV577TWkpaXhH//4h3wmptGjR2PmzJlsUSR6QlZWlvzfUVFRCA4ORmpqqrysXbt2yMvLAwAcPXoUTk5OCtubmZkBANq2bYuAgAD07t0bbdu2RXx8PGbMmIG2bdti+vTpjXAm1BxJThSfHg6HiKi+OnXqhNWrV6s7DGrFhBAQDx6o5dgyPb06DRf15AQURkZGkMlk1SalqEoUzczMlE5YAQD9+vVDv3795N/t7e1x8OBBHD9+nIki1UitA24TUet27949fPXVV7h06RIAwMnJCZMnT4aRkZGaI6PWQjx4gNT+0qaMVJXuZ89ApsYXQ5OSknDy5EmsWrVKbTFQ01evAQqPHTuG0aNHw9HREY6OjvD29sbx48dVHRsRtWCnT59Gly5dEBYWhjt37uDOnTvYuHEjunTpgrNnz6o7PKJmafDgwWjXrp3C52mdOnWCjo4O3NzcMGfOHEydOlUNkVJzIblF8bvvvsOkSZPw5ptvIjAwEABw4sQJ/O1vf8OuXbswfvx4lQdJRC3PvHnz4O3tjYiICLRpU1kVlZWVYerUqfjwww/x+++/qzlCag1kenrofvaM2o6talFRUejZs2et6xw/fhxFRUX4448/sGjRIjg6OlYbz5SoiuRE8dNPP8W6desU3pIKDAzExo0bsXLlSiaKRFQnp0+fVkgSAaBNmzb4+9//rnR8RaKGIJPJ1Pr4V9VsbGzg6OhY6zpVb0e7uLggJycHy5YtY6JINZL86Pn69esYPXp0tXJvb2+kp6erJCgiavkMDQ2RmZlZrfzmzZswMDBQQ0RErU9FRQVKS0vVHQY1YZJbFG1sbBATE1PtF8vRo0c5pAUR1ZmPjw+mTJmC9evXY/DgwQAqu7EsXLiQrRtE9ZSfn4/s7GyFMmNjY+jq6mLbtm2wtbVFjx49AAC///471q9fL+9GRqSM5ERx/vz5CAwMRHJyskLlvmvXLmzevFnlARJRy7R+/XrIZDL4+fmhrKwMAKClpYVZs2ZhzZo1ao6OqHny9PSsVhYZGYlx48ahoqICixcvRnp6Otq0aYMuXbpg7dq1mDFjhhoipeZCJoQQUjf64YcfsGHDBvmQFj179sTChQsxZswYlQeoapzEnFqzpnj/l5SU4Nq1awCALl26NKt55Jvi9aTaPXz4EOnp6XBwcICurq66w2nyartevP9bh3qNo/jGG2/gjTfeUHUsRNQK6evrw8XFRd1hEBGREhxwm4ga1eTJk+u03s6dOxs4EiIiepY6JYqmpqa4cuUKzM3NYWJiUuuUQ3fu3FFZcETU8uzatQt2dnbo168f6tHzhYiIGlGdEsWwsDD5cBVhYWF1mpuSiEiZWbNmITIyEunp6Zg0aRLee+89mJqaqjssIiJSol4vszRn7HxLrVlTuf9LS0tx8OBB7Ny5EydPnsSoUaMwZcoUvPLKK83qh2hTuZ5Ud1UvZ9jb20OvAWZGaWlKSkpw48YNvszSiknuo3j27FloaWnJO5//+OOP+Prrr9GrVy8sW7YM2traKg+SiFoWHR0d+Pr6wtfXFzdu3MCuXbswe/ZslJWV4cKFC0rnpyVSBS0tLchkMuTm5qJ9+/bN6odJYxJC4NGjR8jNzYWGhgb/trdikhPFGTNmYNGiRXBxccH169fh4+ODN998E/v370dJSQk2bdrUAGESUUuloaEBmUwGIQTKy8ufa1/btm3DZ599huzsbPTp0wdbt26Fu7u70nUjIiLw7bff4vz58wAAV1dXrF69usb1qWXQ1NREp06dcOvWLWRkZKg7nCZPX18ftra20NCQPJEbtRCSE8UrV66gb9++AID9+/dj6NCh2LNnD06cOIFx48YxUSSiZ3ry0XN8fDxef/11fP7553j11Vfr/QcpKioKQUFBCA8Ph4eHBzZt2gQvLy+kpqaiQ4cO1daPi4uDr68vBg8eDF1dXaxduxavvPIKLly4AGtr6+c9RWrC2rVrh65du+Lx48fqDqVJ09TURJs2bdjq2spJThSFEKioqABQOW3f66+/DqByar+8vDzVRkdELc7s2bOxd+9e2NjYYPLkyYiMjIS5uflz73fjxo2YNm0aJk2aBAAIDw9HdHQ0du7ciUWLFlVbf/fu3Qrfd+zYgQMHDiAmJgZ+fn7PHQ81bZqamtDU1FR3GERNnuRE0c3NDatWrYKnpyeOHTuGL774AgCQnp4OCwsLlQdIRC1LeHg4bG1t0blzZxw7dgzHjh1Tut7BgwfrvM9Hjx7hzJkzWLx4sbxMQ0MDnp6eSEhIqNM+SkpK8Pjx41rfwC4tLUVpaan8e2FhYZ1jJCJqjiQ/49m0aRPOnj2LgIAAfPLJJ3B0dAQAfP/99/K5n6Xatm0b7O3toaurCw8PDyQmJta4bkREBF588UWYmJjAxMQEnp6eta5PRE2Ln58fhg8fDmNjYxgZGdX4kSIvLw/l5eXVfqxaWFggOzu7Tvv46KOPYGVlpXSu3CqhoaEKMdrY2EiKk4iouZHcoti7d2+kpKRUK//ss8/q1YzPfkVErcuuXbvUHUI1a9aswd69exEXF1fr/L+LFy9GUFCQ/HthYSGTRSJq0SS3KN68eRO3bt2Sf09MTMSHH36Ib7/9FlpaWpIDeLJfUa9evRAeHg59ff0ap+/avXs3Zs+ejb59+6JHjx7YsWMHKioqEBMTI/nYRNQymJubQ1NTEzk5OQrlOTk56NixY63brl+/HmvWrMGvv/6K3r1717qujo4ODA0NFT5ERC2Z5ERx/PjxiI2NBQBkZ2djxIgRSExMxCeffIIVK1ZI2ldVv6InH/Woul9RaWkpCgsLFT5E1LJoa2vD1dVV4Qdj1Q/IQYMG1bjdunXrsHLlShw5cgRubm6NESoRUbMiOVE8f/68fJyxffv2wdnZGSdPnsTu3bslP1JqjH5F7FNE1DoEBQUhIiIC33zzDS5duoRZs2ahuLhY/ha0n5+fwssua9euxdKlS7Fz507Y29sjOzsb2dnZKCoqUtcpEBE1OZL7KD5+/Bg6OjoAKofH8fb2BgD06NEDWVlZqo3uGerSr4h9iohaBx8fH+Tm5iI4OBjZ2dno27cvjhw5Iv8hmpmZqTBG4xdffIFHjx7h7bffVthPSEgIli1b1pihExE1WZITRScnJ4SHh2PUqFH47bffsHLlSgDAX3/9BTMzM0n7UkW/oqNHj9bar0hHR0ee2BJRyxYQEICAgACly+Li4hS+c1YOIqJnk/zoee3atfjyyy8xbNgw+Pr6ok+fPgCAn376SfLUV+xXRERERNR0SW5RHDZsGPLy8lBYWAgTExN5+fTp06Gvry85gKCgIPj7+8PNzQ3u7u7YtGlTtX5F1tbWCA0NBVCZqAYHB2PPnj3yfkVA5ZRM7dq1k3x8IiIiIlJOcqIIVE599GSSCAD29vb1CoD9ioiIiIiaJpkQQjxrpf79+yMmJgYmJibo169frROEnz17VqUBqlphYSGMjIxQUFDAMdCo1eH9r1q8ntSa8f5vHerUojhmzBj5CyFjx45tyHiIiIiIqImoU4tiS8JfQNSa8f5XLV5Pas14/7cO9eqjWKWoqAgVFRUKZbxZiIiIiFoGycPjpKenY9SoUWjbti2MjIxgYmICExMTGBsbV3vBhYiIiIiaL8ktiu+99x6EENi5cycsLCxqfbGFiIiIiJovyYniuXPncObMGXTv3r0h4iEiIiKiJkLyo+cBAwbg5s2bDRELERERETUhklsUd+zYgZkzZ+LPP/+Es7MztLS0FJbXNu8yERERETUfkhPF3NxcXLt2TT7FHgDIZDIIISCTyVBeXq7SAImIiIhIPSQnipMnT0a/fv0QGRnJl1mIiIiIWjDJieKNGzfw008/wdHRsSHiISIiIqImQvLLLC+//DLOnTvXELEQERERURMiuUVx9OjRmDdvHlJSUuDi4lLtZRZvb2+VBUdERERE6iM5UZw5cyYAYMWKFdWW8WUWIiIiopZDcqL49NzORERERNQySe6jqMy9e/dUsRsiIiIiakIkJ4pr165FVFSU/Ps777wDU1NTWFtb8yUXIlKrbdu2wd7eHrq6uvDw8EBiYmKt6+/fvx89evSArq4uXFxccPjw4UaKlIioeZCcKIaHh8PGxgYA8Ntvv+Ho0aM4cuQIRo4ciYULF6o8QCKiuoiKikJQUBBCQkJw9uxZ9OnTB15eXrh9+7bS9U+ePAlfX19MmTIFSUlJGDt2LMaOHYvz5883cuRERE2XTAghpGygp6eHK1euwMbGBnPnzsXDhw/x5Zdf4sqVK/Dw8MDdu3cbKlaVKCwshJGREQoKCmBoaKjucIgaVUu+/z08PDBgwAB8/vnnACr7U9vY2OCDDz7AokWLqq3v4+OD4uJi/Pzzz/KygQMHom/fvggPD6/TMauuZ/qNKzAwNFDNiRA1E/cL78PBrluLrE/ofyS/zGJiYoKbN2/CxsYGR44cwapVqwAAQgi+8UxEavHo0SOcOXMGixcvlpdpaGjA09MTCQkJSrdJSEhAUFCQQpmXlxcOHTpU43FKS0tRWloq/15YWAgAeO3wGGjqaT7HGRA1P+UP+De/NZD86PnNN9/E+PHjMWLECOTn52PkyJEAgKSkJM7WQkRqkZeXh/LyclhYWCiUW1hYIDs7W+k22dnZktYHgNDQUBgZGck/Vd1wiIhaKsktimFhYbC3t8fNmzexbt06tGvXDgCQlZWF2bNnqzxAIqKmYvHixQqtkIWFhbCxscHh137ko2dqde4X3ocDuqk7DGpgkhNFLS0tLFiwoFr5vHnzVBIQEZFU5ubm0NTURE5OjkJ5Tk4OOnbsqHSbjh07SlofAHR0dKCjo1Ot3NTYgn20qNXR0tBXdwjUCCQnigCQlpaG2NhY3L59u9oA3MHBwSoJjIiorrS1teHq6oqYmBiMHTsWQOXLLDExMQgICFC6zaBBgxATE4MPP/xQXvbbb79h0KBBjRAxEVHzILmPYkREBHr27Ing4GB8//33+OGHH+Sf2jqB14ZjnxHR8woKCkJERAS++eYbXLp0CbNmzUJxcTEmTZoEAPDz81N42WXu3Lk4cuQINmzYgMuXL2PZsmU4ffp0jYklEVGrJCSytbUVa9askbpZjfbu3Su0tbXFzp07xYULF8S0adOEsbGxyMnJUbr+iRMnhKampli3bp24ePGiWLJkidDS0hIpKSl1Ol5BQYEAIAoKClR2DkTNRUu//7du3SpsbW2Ftra2cHd3F3/88Yd82dChQ4W/v7/C+vv27RPdunUT2trawsnJSURHR0s6Xku/nkS14f3fOkgeR9HQ0BDJycno3LmzShLVxh77rCWPI0f0LLz/VYvXk1oz3v+tg+Q+iu+88w5+/fVXzJw587kP3hhjnz097llBQQGA/41/RtSaVN33En8fUg2qriPrE2qNWJ+0DpITRUdHRyxduhR//PEHXFxcoKWlpbA8MDCwzvuqbeyzy5cvK91G6thnoaGhWL58ebVyjn9GrVl+fj6MjIzUHUazl5+fD4D1CbVurE9aNsmJ4vbt29GuXTscO3YMx44dU1gmk8kkJYqN4elxz+7duwc7OztkZmbyxlaDqnHnbt68yUcValBQUABbW1uYmpqqO5QWoeo6sj5RD9Yn6sX6pHWQnCimp6er7OCNMfZZTeOeGRkZsWJRI0NDQ15/NdLQkDzgASlRdR1Zn6gX6xP1Yn3Ssqn1f/fJsc+qVI19VtNYZlVjnz2JY58RERERqV69Bty+desWfvrpJ2RmZuLRo0cKyzZu3ChpX0FBQfD394ebmxvc3d2xadOmamOfWVtbIzQ0FEDl2GdDhw7Fhg0bMGrUKOzduxenT5/G9u3b63MqRERERFQDyYliTEwMvL290blzZ1y+fBnOzs7IyMiAEAL9+/eXHICPjw9yc3MRHByM7Oxs9O3bF0eOHJG/sJKZmanQrD148GDs2bMHS5Yswccff4yuXbvi0KFDcHZ2rtPxdHR0EBISovRxNDU8Xn/14vVXLV5P9eL1Vy9e/9ZB8jiK7u7uGDlyJJYvXw4DAwOcO3cOHTp0wIQJE/Dqq69i1qxZDRUrERERETUiyYmigYEBkpOT0aVLF5iYmCA+Ph5OTk44d+4cxowZg4yMjAYKlYiIiIgak+SXWdq2bSvvl2hpaYlr167Jl+Xl5akuMiIiIiJSK8l9FAcOHIj4+Hj07NkTr732GubPn4+UlBQcPHgQAwcObIgYiYiIiEgNJD96vn79OoqKitC7d28UFxdj/vz5OHnyJLp27YqNGzfCzs6uoWIlIiIiokYk6dFzeXk5bt26BVtbWwCVj6HDw8Px3//+FwcOHGj0JPH333/H6NGjYWVlBZlMVuN8z1Xi4uIgk8mqfZ6e/m/btm2wt7eHrq4uPDw8kJiY2IBn0Xw1xPVftmxZteU9evRo4DNpnqRef6By7vNPPvkEdnZ20NHRgb29PXbu3Kmwzv79+9GjRw/o6urCxcUFhw8fbqAzaFpYn6gX6xP1Yn1CNZGUKGpqauKVV17B3bt3GyoeSYqLi9GnTx9s27ZN0napqanIysqSfzp06CBfFhUVhaCgIISEhODs2bPo06cPvLy8cPv2bVWH3+w1xPUHACcnJ4Xl8fHxqgy7xajP9X/33XcRExODr776CqmpqYiMjET37t3ly0+ePAlfX19MmTIFSUlJGDt2LMaOHYvz5883xCk0KaxP1Iv1iXqxPqEaCYlcXV3F0aNHpW7W4ACIH374odZ1YmNjBQBx9+7dGtdxd3cXc+bMkX8vLy8XVlZWIjQ0VEWRtkyquv4hISGiT58+Ko2tNajL9f/ll1+EkZGRyM/Pr3Gdd999V4waNUqhzMPDQ8yYMUMVYTYbrE/Ui/WJerE+oSdJfut51apVWLBgAX7++WdkZWWhsLBQ4dMc9O3bF5aWlhgxYgROnDghL3/06BHOnDkDT09PeZmGhgY8PT2RkJCgjlBbpJquf5W0tDRYWVmhc+fOmDBhAjIzM9UQZcvz008/wc3NDevWrYO1tTW6deuGBQsW4MGDB/J1EhISFO5/APDy8uL9XwvWJ+rF+kQ9WJ+0HnV+63nFihWYP38+XnvtNQCAt7c3ZDKZfLkQAjKZDOXl5aqPUkUsLS0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     "output_type": "display_data"
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    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "0c937092d7a84f2d9830f0f4f10dc490",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
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       "
\n" ], "text/plain": [ "\n", "\u001b[?25h" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sim = make_sim(\"TE\", **design_params['TE1'])\n", "\n", "job = web.Job(simulation=sim, task_name=\"evanescent_coupler_te1\")\n", "sim_data = job.run(path=\"data/simulation_data.hdf5\")" ] }, { "cell_type": "code", "execution_count": 23, "id": "df089645", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T02:40:35.987078Z", "iopub.status.busy": "2023-02-03T02:40:35.986968Z", "iopub.status.idle": "2023-02-03T02:40:37.733760Z", "shell.execute_reply": "2023-02-03T02:40:37.733361Z" } }, "outputs": [ { "data": { "image/png": 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JJSQksIEDB7JFixaxsrIyTd3XX3+d9e/fX6k3atQotmHDBmV/YWEhGzt2LIuJiWEAlFQ5rulxZN577z2lvcTERDZhwgR2+vRpTZ1JkyaxqKgot/NbuHAh8+cW9uOPP7JLL72URUREsLS0NDZ37lz29ddfu9lTWVnJ7rzzThYfH88A+EyVM2rUKK+pbhYuXFinTXUhCAJbsmQJ69ChAzMajaxnz57sv//9r1s9OXVQXl6epvz8+fNs2rRprFWrViwyMpKNGjXK63f0k08+Yf369WMmk4mlp6ez+fPnM6vVetHnQBBEeEBL+BEEQRAEQRAeoTGKBEEQBEEQhEdIKBIEQRAEQRAeIaFIEARBEARBeISEIkEQBEEQBOEREooEQRAEQRCER0goEgRBEARBEB5p1gm3n3rqKcybNw8PPvggli1b5tcxoijizJkziImJCXjJLoIgCIIgJBhjqKioQFpaGni+6fqdBEHAQ3+9HbfeMkezshHhH81WKP7000/417/+payA4C9nzpxBu3btGsgqgiAIgmhZnDp1Cunp6aE2wytr1jyG5S9/jK3f/Yqffz7UpEVtU6RZCsXKykpMmDAB//73v/GPf/wjoGNjYmIc73gA5FEkCIIgiPrBAIiq52rTo7q6GgsW/B9ee+1vWLx4Nd58cz4mTVoSarOaFc1SKM6aNQtjx45FdnZ2nULRYrHAYrEo2xUVFY53HEgoEgRBEMTF0ZSHcb2w7EG0adMKE/88BgaDDo899h/ceuvjiIiICLVpzYZm53999913sXv3bixdutSv+kuXLkVcXJzyorAzQRAEQYQ/JSUleObpd/DU0zPA8zxuv+NKJCXFYdmLs0NtWrOiWQnFU6dO4cEHH8Rbb70Fs9ns1zHz5s1DWVmZ8jp16lQDW0kQBEEQRKhZtOgvGDGiD0aP7gcA4HkeTz09A08tfQtnz54NrXHNCI4xxkJthL+sXbsWN9xwA3Q6nVImCAI4jgPP87BYLJp9nigvL0dcXBwAHSj0TBAEQRD1hQEQUFZWhtjY2FAbo+H3339H3769sfOnf6FHjwzNvnF/egSdO6fjxRc/DI1xzYxm5VG88sorsXfvXuzZs0d5DRo0CBMmTMCePXvqFIkEQRAEQYQ/8+ZNx8SJY9xEIgAsfeoveO21z/HHH3/43d6KFSvQp08fxMbGIjY2FkOHDsVXX32l7K+trcWsWbPQqlUrREdH46abbkJRUZGmjZMnT2Ls2LGIjIxEcnIy/va3v8Fut2vqbNmyBQMGDIDJZEKnTp2wevXqgM67IWhWQjEmJga9evXSvKKiotCqVSv06tUr1OYRBEEQBBFiTp06hU8//QELn5jicX+vXpm48caReHn5I363mZ6ejqeeegq7du3Czz//jCuuuALXX3899u/fDwCYM2cOPv/8c3zwwQf47rvvcObMGdx4443K8YIgYOzYsbBardi2bRvWrFmD1atXY8GCBUqdvLw8jB07Fpdffjn27NmD2bNn4+6778bXX39dzysRHJpV6NkTo0ePRr9+/fxOuE2hZ4IgCIIIBk0z9HzkyBH06dMLlRVfea3z2Pz/oKwsDitWrKh3P4mJiXj22Wdx8803IykpCW+//TZuvvlmAMChQ4fQvXt3bN++HZdeeim++uor/OlPf8KZM2eQkpICAFi5ciUefvhhlJSUwGg04uGHH8a6deuwb98+pY/bb78dpaWlWL9+fb3tvFialUfRE1u2bPFbJBIEQRAE0UKw272/RBGCIKC8vFzzUqfT84YgCHj33XdRVVWFoUOHYteuXbDZbMjOzlbqdOvWDe3bt8f27dsBANu3b0fv3r0VkQgAOTk5KC8vV7yS27dv17Qh15HbCBXNXigSBEEQBEG4wZiPF7B7925N+ry4uDifqff27t2L6OhomEwmzJgxA5988gl69OiBwsJCGI1GxMfHa+qnpKSgsLAQAFBYWKgRifJ+eZ+vOuXl5aipqbnYq1FvmmXCbYIgCIIgCJ+4TBTRwEQMGDAAmzZt0hSbTCavh3Tt2hV79uxBWVkZPvzwQ0yaNAnfffddsKxtspBQJAiCIAgi/PAlFEUROp0uoLGVRqMRnTp1AgAMHDgQP/30E1588UXcdtttsFqtKC0t1XgVi4qKkJqaCgBITU3Fzp07Ne3Js6LVdVxnShcVFSE2NjakK8lQ6JkgCIIgiPBDFL2/gjCPVxRFWCwWDBw4EAaDARs3blT2HT58GCdPnsTQoUMBAEOHDsXevXtRXFys1NmwYQNiY2PRo0cPpY66DbmO3EaoII8iQRAEQRBhBgMnePcocqIYUGvz5s3DNddcg/bt26OiogJvv/02tmzZgq+//hpxcXGYNm0acnNzkZiYiNjYWNx///0YOnQoLr30UgDAmDFj0KNHD0ycOBHPPPMMCgsLMX/+fMyaNUsJd8+YMQPLly/H3LlzMXXqVGzatAnvv/8+1q1bV//LEARIKBIEQRAEEX7YBe/7xMA8isXFxfjzn/+MgoICxMXFoU+fPvj6669x1VVXAQBeeOEF8DyPm266CRaLBTk5OXj11VeV43U6Hb744gvMnDkTQ4cORVRUFCZNmoTFixcrdTIzM7Fu3TrMmTMHL774ItLT0/Gf//wHOTk5gZ13kGn2eRQDhfIoEgRBEEQwaMJ5FHv3RNXR1V7rPPbUeygV0i4qj2JLgTyKBEEQBEGEHz5Cz2CBhZ5bMiQUCYIgCIIIP3yFl1tULPXiIKFIEARBEET4UUd6HBp95h8kFAmCIAiCCDs4wcdkFkZC0V9IKBIEQRAEEX74SoHTsubxXhQkFAmCIAiCCD/qSo+jazxTmjMkFAmCIAiCCD/qGqNI+AUJRYIgCIIgwg8KLwcFEooEQRAEQYQZrI7QM3kU/YWEIkEQBEEQ4QUDhZ6DBAlFgiAIgiDCD0q4HRRIKBIEQRAEEX74yqNIHkW/IaFIEARBEET4QXkUgwIJRYIgCIIgwo+68igSfkFCkSAIgiCI8KOuJfwIvyChSBAEQRBE+EGTWYICCUWCIAiCIMIPCj0HBRKKBEEQBEGEH3Yf4WUSin5DQpEgCIIgiPCCgWY9BwkSigRBEARBhBkMEEgoBgMSigHAgfO5n9HoWIIgCIJoGviczELPa38hoRgAHOd+udTikEMA0+09fElJaBIEQRBEkKDJLEGBhGIAGI1JYEwEx/FgTARjIgDpXwZ5W/3F1LlsQzlGcU4yURGIGqFJQpIgCIIg6g9NZgkKJBQJgiAIggg7GIWeg0KzE4pLly7Fxx9/jEOHDiEiIgLDhg3D008/ja5duzZ435mRwwEAHHgInB1WVg07LBCYDXZmgchsEJnNUUcHBsHhQZQQmB2CaIEo2hUPJGN2iMyueCMVj6PDu+g1tO3yJSdvI0EQBEGooMksQaHZCcXvvvsOs2bNwiWXXAK73Y5HH30UY8aMwYEDBxAVFdWgfd/euisYOOg4BoFxOG9hqLYzVNtF1AoiagUBtcwOANBxPBhjsMEOu0PgWTgLKvgLsLAKiBBhZxZYxUpYhSowJkpCU5SFo1pAAozZIItHMBGMk7/kUhnn8p0n4UgQBEG0aCj0HBSanVBcv369Znv16tVITk7Grl27MHLkyIDbq2sms5q/5RwBY4AuChBrgXPHI3CuIhLFNREotRlQbjOi3G4GAJh5BoEB1QIHmyildCq3AflVSai0CbAzEdXMhgu6C6jSl8LOaiXhyGpgF6thF60a76MoSuJRGQspC0cm2S8JR1lIMrfzIuFIEARBAIE991xpVs8SWsIvKDQ7oehKWVkZACAxMdHjfovFAovFomyXl5cDALp27QadTuf3D4aBwdi/A6DnUf6LFbW1OrS51oa2HRKAjDSIXTpD+uYx5Qi391VVEF/4ANZCARCBklPR+KkoDadr2sMqAKU2oKBaRLlVQIVgRRVqUclXoJarhIVVwipWws4ssAs1sIk1EESrIiBFZocSuuZE1SQZh8cRHIWrCYIgwgTXZ5dOpwPP89DpdNDp9dJ7nlfKlH2q9+oyf1E/NwRBwOHD+4N2TkGFAcyHR9Hn+EVCQ7MWiqIoYvbs2bjsssvQq1cvj3WWLl2KRYsWuZWbzWaHUAyAW8YATETcOAFxtTWAXfLucRWV4HftB/R6IC4GsFiBM2cBUQBio4HqWoinS2HJq4U+KgXmQTyEwiq0vywC7SZkQy0quVfegeVoNWrO6lBSEoM959JRYtHhnJV3iEgRpTYrSlCGUr4YVlYNq1gJi1AOu2iFXaiByOwQRavD+2jTjHt0/shFN/FIwpEgCKJp4MmJodfrYTKZYDabYTKZNO95vv5ewkBQPyUEwUf6maYAhZ6DQrMWirNmzcK+ffvwww8/eK0zb9485ObmKtvl5eVo165d/TqMigTg+KHExSnFHr9uXbtI/1ZVg6utAdfJgoieZ4GqWiDKDL6yBvbfiiA8twGGFAPEGjv4CIDNmgIjRBghIg4iOi1/C9Yj1agoNOLAmSScqDKjyBKBYxVmFFQnolq04QJXhguGIthQg1qhDDahCjaxBqJohyBanR5HTgAcYyjBOEkYcu7hahKMBEEQjYt8/9XpdB6FoMlkgk7Hh9hKKbNbs3lC0ISVoNBsheJ9992HL774Alu3bkV6errXevIPzCtcA/8VFhUJJgvMtmmaXfxwgAeAqmrwPAe+5Cyw/RfpLx29DuzEWdSUpoBPFpDQyY5RwztA7N8bgAD+282o/vgELBU6/O9oWxysSMMFK4cTFQLOW604i3JUcmWoxgXUiuWwipWwCbWwC1LIGhAdIlKeJOMMVVOYmiAIomFQewqNRiOioqIQHR2NyMhIR6SrnmKwoZ9lMs1IfDG7D1vJo+g3zU4oMsZw//3345NPPsGWLVuQmZkZapMuHoeQFNu3A9qrvJ1DADMgfaGrq4D8M+A37wYsVggFIgydUsCfr8XVLw1GToLDw/nCf1H7hwWHDiTht9KOOFPD40w1cLrKijK+BiWmYlTjAiysErX2UliFKmWso8iszlC1yzhHEo8EQRD+42kMYWRkpEYY6vX+jw1sNCEYTtBklqDQ7ITirFmz8Pbbb+PTTz9FTEwMCgsLAQBxcXGIiIgIsXUNBM8B0dEQu3aRQto1NdD9kQddRRUMZVWofGk3TAki9G0MYHOmwQwR/SpK0fvp91B1ksO+4ynYfSEaRbUmHK+IxlmbBRWowlljASqFYmmSjGN8o12odabmgU3K3egapgYoVE0QBOEB+b4YERGBqKgo5WU2+4hseWyIhOHF4sujSJNZ/KfZCcUVK1YAAEaPHq0pX7VqFSZPnhx4g83Ija4QEQGxVw9lM/JqABYLUFMNfvse4GwFxHILuPYdENXKguF/aYNhlw0CIEB8YhWqjgOHTyRh29k++KNC8jZWCTYUGUtQijOwidWwCOWwCTWwCdWqnI6eJsaQt5EgiJaJelxhdHQ0oqOjERUVhcjIyLonl8hCkLGGE4UN8HxrTnd236HnxrOjudPshCILobDjf9wJ8BxYcRk4vQ5o2wowGIDqWmmwYXQUWEI8oDdItuodl9egBxra22kygZlMYEMvcdprtQGCHThwCPzGXYDZACE2Bca2tRg8Iw2DLh0A7mwJLH//DDXndfj6YHscqshEcS3DmSorSnQVKNHlw8IqUSNccISpLVqvo5+hahKOBEE0Z9ShZJ7nER0djZiYGMTExCAyso77uy8h6I9IVIvJ5ujcCBW+xCBdRr9pdkIxWJw8eRI8zweUeFTccxjMDpzdawCv59BqYAm4GBNseTWwVfIwpeug79kGqKyFUFQNPsYIrl0rwGYHqixSCDmjDVhyEpjR2PDi0WgAYIA4sD9gsYCrrIRBp4OhpBy1312Abue3MIzsAOOLM2GEgFv/uQpnd3L4vbAVfimNRl5lKxwrj0G5aME53TlU6IqVsY02oQZ2sVY1tlF0zqpWQtWAlBRcmwCcRCNBEM0FDhw4jlOEYWxsLCIizODqEngXI+w8CcMA2xFFBlEUIQiC8q/6veu//jph1PdvUWzabjkm+Ag9k+D2mxYrFC9cOA/HLcDvY87/UAGeZ4hJsIPXAZXbeTARMCWIMLcxgBcNQI0e4rVXKikEmNI+B4AHv2U7hC92oqbIADszIa63Hnz3NkCNVcq/mNIKLCUJLDYW8DVbO1Bkj2OrVgAA4zhI4eqTp8Bv2AFWWQuLmIbW1zIkd0vGsEsHABBQ/Zf/Q8VZM74/mY6jlRkoqgFOVFpxTleFs7pC1LAy1AgXYBOqYBctDvFoVZYflGZV233mb5QhAUkQRCiRnwccxyEqKkoRhpGREb6F4cV4DL0JFh9Cxmq1KYtJ1NbWKu/VYrCh0N6nm/A9mzmzwXmkaWvcJkWLFYoygYiT279uDR4cjJwOPMfB5liH2cTpYOR56HgOZh2HVqatSDQBBl76rRt10pJ+kTqGtAgLOifWIDrmAiIS7eATOkAc2BVS7JoH/+t+YPMOiMU21J7VQx8lwtwtBkiOA0QRSEuB2KaNw1t4kZhMEDt3Ajp3AgAYAaC8Ajh1GvyX/4NYWgNzzzaI4Cy4+e7hQIQRqKlBzZy3ceZEHLYUdENhLYdjFSKKay2oZBYU6wpQIRbDIpRDEC2wClWaULXn1WMARUACNN6RIIhGQe0oUAvDqKjI+gtDV1zHIPrpybLZ7BohqBaEjIb1+AeFnoNCixeKgXCE/w0ceOhgAAceImcDAOg5M3TMAN7OQ2c3ILo2BjGIAg8OPAAdx8PA8TDqeETpzWhV1AbReiDeCGT+bEWPV99FbGwtopJsiMhpD3brVeABRALgjh0H27YfwpEzsJQaYO5QAF3GSSApHmJWBhAdHdyTjI2B2LM70L0b+JMnwBedA+wCyp7cBqPZhoir2iBi5Qx0hID2f/s3KvP12HI0HceqInDOEoGj5VEoYMko1Z9FLSpRJZ6D1V4Oq1DlWDHGNVTtmBwjh6sBml1NEESDId9PIiMjVcIwyr/JJ/WdeOJDHAqCiOrqalRVVaG6uloRhZ5Co3QPDAxfHkVGHkW/IaEYAEWVvzre8eA43jEDGOA4aRsAOPDgeT10vAk8eM1+zqYDz+mhrzFBz5lh4qJhZtGI+T0OEYhGjM6IVh8bEG+UPJKJRoYOkVZ0jKtFalo5YoZEgk0bCxE8uOOnYHvuU1SVRyOmA2AY2h4QBCAhFmJWJsDzQADrd7rBcxAzMoCMDABAzGUAqqqBoiLw/9sL8Wgxag2ZiB1cjRtfGQKWEAtAhHXO/+HkwXh8V9gFpTYOR8sZTlbX4pyhDNVcBapxAdViKexiNWxCLQTRoqwew5io9Tp6ml0t4+PGSzdTgiBk1OlqYmNjERMTg+joaN/C0NuMZE8iMYCJJowx1NZaUFVVpbxqa2ud++neFVR8fhx0qf2GhGIA2O1l3ndy6mz6TuEIOMWaWkxK4lEPntOD5/XgOQP0ghF6ewT0NSaYuGiYuBhEshiYxQjEcmlIXm9C8jNbkWQCOkbbMDKzHFGtzsLQpyvES7oB0IH/9kdU/fcAItJ10GfESRNoYiMh9uoO6HUXN+4xKlISoVmZwKVADABUVoI7egzcz0dgP3YOYlQSutwfj05jRwMQwX+9EaVvncHRU61xsDwJ+TU6nKhkKKm1o9RuQRlXjguctPygRayETajUrFntnpoHkAUk4OnG6j2E7Qn18f6OV/V1Mw9kzGtdbREEETjyb9BsNiM2NhbRMdGIiY7xvuKJq8jzJQzVddT3Fy/3GpvNrhGFVVVVYIzR776RoDGKwYGEYgAweFsAnQeYep8AMMcNRiUgnfcStafRAE6QhKOV00PHG8FxPHS8CXreCD0fCR2nh4mLxhlrMqJrYxDPRWLfBRP2lmUg0cjQbU81+qWvRmSCFZFP3Yio7AQAHLB5O8o/L4I+2oRIUQQ4Diw9FczHkocBEx0NsV8fwGKBPisf+pOFgI5D7ZMbYK9iiPlLb8S+cTUGWKrR/4W3UXlIxN5jKdhXFoViixH5VVEoqGmFStGKMr4MFbrz0sxqx5rVdofHUV52kDERDKIiHJ23cdERS9B5DmG74vgwAhV29T2mMdpq6tDDkWgoeI5HRESEkscwJiYmsFVPgMDHHboVMVRVVWtEoc1m09ah30CjInp7ZCPwyehLly7Fxx9/jEOHDiEiIgLDhg3D008/ja5duyp1amtr8dBDD+Hdd9+FxWJBTk4OXn31VaSkpCh1Tp48iZkzZ2Lz5s2Ijo7GpEmTsHTpUuj1Tjm2ZcsW5ObmYv/+/WjXrh3mz59fvzzRQYKEYgAooWa3h7v7t1Htp/LeHgBYnG1yPGyuIlLZlkQkz+th4COgFyMQYUuAiYtGTEEiEg61QjRvRIev96JtJJBqFtE3oQydOp9F5Ki2EId2B6AHt+YLlP6mR1QaB9Po9oAIiN07X/xYR5MJYscsoGMWAMA8ElJKnv2HwBXuAzt1DlVV6eBSrBg+sy2GDZFmVfM//YzK135FdZkBP51KxR+V6Thv5XCsXFqzuozVoJKvQDlKYIcFArPBJlbDJlRBYHYwJkhjHx3jH2UxKYewpevsKhhFx8r2TetPyqb9ELn4a3VRoriJprJo2p9ZeMKBU9ZIjoyKRHR0NCIiIsD7K/R81Qtg4gljDNXVNaioqEBFRQUqKyuVcYX0vWgiiL4+68DuR9999x1mzZqFSy65BHa7HY8++ijGjBmDAwcOICoqCgAwZ84crFu3Dh988AHi4uJw33334cYbb8SPP/4IABAEAWPHjkVqaiq2bduGgoIC/PnPf4bBYMCSJUsAAHl5eRg7dixmzJiBt956Cxs3bsTdd9+NNm3aICcnp37X4SLhWAtLJlReXo64uDhIIeHQenM8PjiVmxTvXo+TZkbLIpLn9IqAlD2QZn08zFwcIhCLaBaHZC4OqRFGpEfxaGUUcXV6Mdp2Lof5ynYQr7sW3NlSVL6wDZzBgOjL4oFIE6DjIfbuAZhNFzfO0RM2G/j8fKDoHHChApZfz4PjLdBHC+Cv6gexU4ZU7+W3UbO/BiWno7HvbCscrjSiys6hVmAorGYorrWgltlhgx3VXDUq+TJYWAXszAIrq4FdrJYmzsheSCY4PJFOr6QkLOuiAdNMXIRQZRdhV+D9+vizPGj9XcR19vN8Lv7hHaCNDbIqRou6XYMDB57nFVEoL4dn0Afg4/C1AkqAiaxdhaEoii3uM9HCAAgoKytDbGxsqI1ROHLkCPp0747CuyZ4rbN4925UXDoU//znPzXlJpMJJj+GaJWUlCA5ORnfffcdRo4cibKyMiQlJeHtt9/GzTffDAA4dOgQunfvju3bt+PSSy/FV199hT/96U84c+aM4mVcuXIlHn74YZSUlMBoNOLhhx/GunXrsG/fPqWv22+/HaWlpVi/fr1f5z9p0iRMmzYNI0eO9Kt+XZBHMYS43mC0+QUF5Qam1GIMHEQwBjDODsbpAeggiLXgOT2snB5WoQo1/HlU6CJwgY/AWSQgvyYJx6riEacz4WR1CtqfTkbGTiuGvPM6WmVHIOrJWyCHqi0bT0AQIxB5vgJoFQvWrRNYTKw01jEYGAzSJJm2bQG7HaY2R6WVbfR6WD79A9VnTyKqVRX0M25FRHQE2kNAxidfYuTnp2Ct0cFSq8eewiQcqjCjys7BIgBna+NwtjYJlcwGK7OhkqtCpaEMNlYLETYIkDyPAmwQmB0is0kvh5D0+vm4CBDGLk4weeyjDvERiKjzp+7F9Fd3+37076ENXzb5df7KV9Pz5+OMBLgSgPBzDGvwutuTWNB0WE8hzDzcI+o6pBkLF57nEWGOQGRkpCIOzWazps5F3YkCTGRdU1OrCMOKigpNfsLmfJ1bCr58AUwEdu/e7XAcOVm4cCGeeOKJOtsuK5PmLCQmJgIAdu3aBZvNhuzsbKVOt27d0L59e0Uobt++Hb1799aEonNycjBz5kzs378f/fv3x/bt2zVtyHVmz55dp01q27Kzs9GhQwdMmTIFkyZNQtu2bf0+3hUSik0ItxuP2zg6QRPSlpJZS55HUQ5d23nUqsLWPG9EocPjaBDN2HEhAVFlrRDJYpF0OAltt0ag8z+3ItHIMDz5ArK6nkPkVW0hXjsYsAN4/QtUnzbC3FYPfa8UwGyQci/GxlzcyRoMkmjs29tZdEl/xNls4CoqwR3OA8prIJw4D2uZAZED02G8YIW53I6xDyfhmksHQZ7Uwu/4CTVv/Yaac3pYavU4UpyIQxVtUC1wqBUAqygJSqvIUGMHyq0iagUR1YIdDj+j+2fBpHLJXyA6rrG2nus27+UR5n6c6mGjGkeprucqYF3FlOgy/lJdX9O+63EqMaXeJ7fnab/I3Mtcx+v66lMW2KLLsbKAU8o99KOu56lfzT7mfg3kMrltr+0y7/b7qguXfuqy3+MwFY9i2FGm/kq59eFJqIjexWQ9Vt5oCHieV7w2ZrNZ86/exVNYL1HoOtEE8GviCQDU1lo0wlAQ5O8NicLmCPMRXmaMw4ABA7Bp0yZNuT/eRFEUMXv2bFx22WXo1asXAKCwsBBGoxHx8fGauikpKSgsLFTqqEWivF/e56tOeXk5ampqEOHHim5r165FSUkJ3nzzTaxZswYLFy5EdnY2pk2bhuuvvx4GQ2B5mEkoNgM83qSU/ILyjQyQb6uM8QAs4MBBEKVxj9KMax0q+QKcc4Sr83QRMFXHIMrSCiYuBm+cbo2UPR2Q/KkBmfO+Q4dIAdkdzyM23Qr+L3dDhB6orIHwnw2oKjYh/qoEKVQdHyvldAzwy+cRgwEsMQEsMUE5Iz0AVFXDyHMw1dRKCcF/+BWw2MAqLbCfKgefmoqIeBtM1TaMvFOH4TddDk9eHO7USXA790LMO4fa4zbYKnmIgvNmwnEMjHEQBQ52mw52Ow/GOAgCD8YAkXHKzUf0Y4yLUle1rW1DJ5WBU9pXvwcABg6i3Dfk46B5L+2Tj3f2a5edJo42nG2p3st2OdoSHMcKyj44bVL6dvzrUiYd5+xD6hsQGNMcJzDn8c5+mHYfmLMN5kiU5FJXFtdSOw5x75hVagdzE/ySD1kE40RHueP/nFO0Ovc4xaXISdsMIkR5GAMEpS5j8nsptZPoKJOPl4Y7OAWyWiSrxawixJnzX3WZeua/UsdNrHoamys6VZdGFPvIGiBfWBf8EU0cxyniz1UQuopBr234VcsDvkSiCxaLVSMM7Xa7X+dHNA/U93ZXGAN0Ol29QuazZs3Cvn378MMPP1yMeQ1KUlIScnNzkZubi927d2PVqlWYOHEioqOjcdddd+Hee+9F586d/WqLhGIzxi21i0vYmgGOMscsbI6HXbCB4wwQxFrYhVrYdTWw6Cqg540o1xXgHJJxujoRJ6sT0MpoxJHKDKQeFjHy6g+R3qEUkT3M0M2egFhwEF76CIwzgo+LAn/0NBBtBuvXAyw6OvhjG6MipXOOiJBEZFU1wERwVhv0ZwqgP18GWOxArQ32/ErYn94A3gjYqxjsNRyYnYHjBBgi7TB3MoMf3h/mGd1hjo6CJF/ka+f6b5AQReeLMcBuV7Y5wQ4Ijn2Co9wuSPvk+oIdsKuPF1RtMml6n12AotAEx3ulTLVtl45hApPeCyKYqHpvZ2B2SbExu1SPSfOEINqk7pld/lcS1UwERIeYZiIPUeQgipzDVB1EQRLIgsjBLvKwCw4BDg42kYfAeNhFRx3Hy+4Q1CKglAmiU+BKdWQhKr84CI5tm+PSSO3IZQyCQ6DaNYLVKVLl5WEFEZDlHWMMAmOKILU7VhWSxajdISxFMAicHXaIEDhZlooQYdMIToHZNWITgDQcQhGe0lFQja0VHTP9JXHJPI67BdSCUi02mfJe7dVU15MKZPHJwHEcdDqdIyWrDjqeB8/zjjIevM75Xv2vTqerex3kOmio0eNWq00jDOVZySQOwxAm3ZO87vY10cUH9913H7744gts3boV6aoMIqmpqbBarSgtLdV4FYuKipCamqrU2blzp6a9oqIiZZ/8r1ymriOtMV63N9GVgoICbNiwARs2bIBOp8O1116LvXv3okePHnjmmWcwZ86cOtsgoRgmeApbe/c4SjdHERzsgl7xNup4Iy7wedDxRmVm9Q+2Vojg4vDmyVQk/Nwe8Z8Z0HXlVnSMsmNUhxpEx5ci+tnrISYmAdABb3wJ+1nA0CEaXIQeSE+C2LkjUI8vuE9k4Qgo3kcZHoBRlMSV3mIBV10NrroasNiA2lqg1grYBfB7DksHiKLUkNUOVm0FLHaI1TYwi0o1eEPxeDHlecsYnNl6mEq/i876gLSfMUCefScKnFRflM3ilP3MIXbkv5AZ4ChTvxxeSMZDZHowcEo9SQw5BBN46SYqexFFTqkryh5PAILIOb2EkISafC4Ck9uWT4tzCDC5HZWXk5cmH4rQehpFh1iT25H6dHgdAVU70obsuRRV9SUBp7aDObSzM/grynUUjySDyESlD6fXUXR6KMEgcILDD+kQWpwIwfF70oNBgB0GjkGEAD0g5fuUjnS04/RoMscSnZI3Eo5t6Usgiz3A5BCE2jC5EvpXeRAloaj4qaE6W+f3USMImWa/o9D5Fh72u9Rx1m0YGkIc2mx2jTC0Wq0kClsQwZxPxhjD/fffj08++QRbtmxBZmamZv/AgQNhMBiwceNG3HTTTQCAw4cP4+TJkxg6dCgAYOjQoXjyySdRXFyM5ORkAMCGDRsQGxuLHj16KHW+/PJLTdsbNmxQ2vAHm82Gzz77DKtWrcI333yDPn36YPbs2bjzzjsVD+onn3yCqVOnklBs6Xgf8yg/DAFpFRQA4MHEGmVmtTzOsZw7DZ7XI583w6CLgE4wYWtJK8SVpOJfxxIQw5vRYeN+dIwBUk12jGxfjKQeFrDcu8GgA7//d7C3vkZNvg6mBBGGvslAtBlIag2xbVrwPY8yPAfw0jhIFh0d8KOBQz0eXKJD5Qmi8lCH3bFMoUMdcfJ+wFEuOr19juM5+XjZyyh7BOVtxqT3cjuyZ1HZ7+gXshJztCGIYHJ7Dlcas0nHSI4mUUoH6ogFM5GBCZL3EAzSe0H6S1wSuRyY4BCaolOsCgIHUeQhio5wvcjBzhweRIfX0C7yikgVwUFgvHIJRIenURamsgi1M07R7VIbDkELdbjbGU6XvYWy+BQcH5EoOkWnVMcZFhcYIDg+K1H2IjrKGWSvIoPg+HUJjlmvApwiUnQISsaJEDkp4C3ADuYQlZJgFRyBcEkWK55Cx18Y0ju7IiSlj9khRFWCUS0i1QJScujJAlJ0DNtzyn7GmOoLLoJTfiCqPKQQPc4IViLY/v0qGhWL1YrqqmpFGFosFhKGLRjBh0fRn6FDambNmoW3334bn376KWJiYpQxhXFxcYiIiEBcXBymTZuG3NxcJCYmIjY2Fvfffz+GDh2KSy+9FAAwZswY9OjRAxMnTsQzzzyDwsJCzJ8/H7NmzVLGRs6YMQPLly/H3LlzMXXqVGzatAnvv/8+1q1b57etbdq0gSiKuOOOO7Bz507069fPrc7ll1/uNp7SG5QepwWjGYukSsujTsfDcXpNKh6e08Ogj4JJFwOzLg4GRKA1a4tkLg7xBgM6xOjQMVrANR1PIybJgshbu0AcPQIAB379Flh+Pgddq0joUmLBmQ1AYgxYt45gJnPwvY7hhixEZWEoJ/MVGTjRDtjszge6IACCAM7umPYnOMLZdkcdpQ2pniI+bYJDuDrasGnFJbMJkF14iri0QVZSkgfNohKXIiDaOYh2ThGNosBDEJyeUEHgPYpJq8grasTOeNhFXvFaCpBC04owVIQkJ5vi2K/ynDp0s92hrwXHtnrspF1UTkXq1xGqFpnTGymIcjjaKR6lULTDw+kIQrsKR4GTw8yiR+Fohw3qcLEAu8q7KEDOGSrvl8ZwOrYdItFVMMrHqr5EGm8jk93fMm6rhqjd5FqC/eAI9G4sCCKqqqXE1tVV1aisrFQmnwAUTm4cpO9SU0yP07tbd/wxborXOk8d+An2K4dixYoVfrXpbTjFqlWrlGTYcsLtd955R5NwWw4rA8CJEycwc+ZMbNmyBVFRUZg0aRKeeuopt4Tbc+bMwYEDB5Ceno7HH388oITbb775Jm655Ra3jAH1hYQioeA2W5LjoKwi45hVLRVrxaNeZ4ZRFwUdb0KELgExSEKymIpY3oSUCAMyYzhkRdnRI74cGVnnENnNBMy5S2q7sgb4YDPs5wDBakDEwAQgNgKIj4HYtq2UCDxYqXkILTYbYLUpHkdOtAMWi6KkOEGQttVjIW02h5hUeTatdocHE5KXstYmtcEcXkurIL3kO42FQbQwZ2heAESbQ0yKTjFptzsn/QiCDla7zingBB5WQaeEsQXGwyrySrhcBAebyCleSNkrKZdB6hoWwemlZJDMtolO6SQP45S9lKLD42iTEys7tu2qULcgMliZM0OBwCSfoiwcGcdg46ywKwJO8ibaOatK+DEIsGomvQjMJnkZHTBmhyA6V/4Q5XGPonoSjSwYmapMu4pUfcViYz44pDWSaxVRKK+RTGIw1DRtoXhk7DSvdZ4+uBNC9qV+C8XmxNSpU/Hiiy8iJkabnaSqqgr3338/Xn/99YDao9AzoeB5nKM6TK0e42iBNiWPARzHo5zT4yxvxildBPS8ESYxFhE1CYhFEiLFKMTvTkdrkwmpr2xF+0iGthE2DG57DrGtLIi+ozPEKy4BoAP/20GUL9kMfQQHcxKDvmuC08sVEwmkp0JMSJBC1w2RGDwcEZnDoyh7E+3gbFbpPQDY7eCsNqkOIIk/m83pcRSZJCzliTRyiNtml9QVpHA1LHYppA1IosMqgFmZMvBQtDOIVrh5HAWBA5g0CUYQONjterkJ2AXHZBfHAHQBjm3IM7SlbQHOCTB2xrmHq5XQtDQeVA4/A06hKHsLAac+VurIYWomj4tkSphb/v3IU0fUq3RIoWjmsF0ewyjVViawqH5/shfQmVLIdeygegY0nN5Dj3/3B0lMuaSdacgQtM1m04jCqqoqiE1sJSWi6eMr9OwrdU5zZ82aNXjqqafchGJNTQ3eeOMNEopEcGGKRHTJTcY5HnVKGEtOBK6HyOwQxFopAbiuCrV8KSp1xTDwkSjkohFtbYX42nj8XhaJBKMBuy60R4KRod/Bagx84z/Qm0VETeqF2KeugPQ44oEPv0LVzgoIggmmJB2M3crAR5gkERNlBtKSwJKTwPTSuEQYg5Cqpzlhs2k9f4IgeQiVcY7SbGdOEYpSHcmjqApFW2zONhhzbMvxWRHM4hCJDuXEBBGwCtIMalEKz8LimDUNR9NW6SUVcBCsPARH2iF5go4g8lIImkEa3wgONjsPOQWQXeRhE3lHiFgKOdscwhCQxijaRK330C5KoWjZnyYwThNaFplzZrRcxy46Q9OAY2a0yFQeRSnULI9jFBxldtUKHQIAO5PkoLQtwM45xhdyzvGHcvhZqmN3eARlESk6lqiURLt8jLwtXVuX2c6O8Y3O2c9MKyYdYe+mgiAIqK2thcViUf61Wqyora3VJLYmiPriK14ajrHU8vJyx++eoaKiQhN6FgQBX375pTKJJhBIKBJ+UeesauZIyePF2yiFqXnNkoMG0Qyd3QRTbTSMXDQSClKQeLANIjg9UtbVokO0lAg83iBgYFI52maWwRQFGEwmsPHXOEQED4ADv24zat/cCQYj+Eg9DMk68NFGwKQHp+cBnTN0Dj0H8DrAbABMRiDCBOj1gNEonYOPUDenTuwHQD1RxSm4GCR3lUpwyaFa2TOnHAvtPk8TUpSYp6AoHKaelcGYJNhUU4KZIN0s4JiQokwVFhwCwlEmT1ABk7QkEzjVZBU4JqrwiqBjgGOSiuTdE5kOomiAlLLG4a0TOQhwpMgBlAkrssCTNKWzTC3unPugtCeLQ3nSCph2bKEkAp16VmSqiSvqF+SPwzlTWoBjljSkxuTJK7IolNLhONOuiy4zpGVPoew1BCCNRXSkxmEQwTimrA6knRUtjf90ncSiTJVRzYiWxyTKwlA9JlH6fQY2E9rXLGiPYed6IgiCIgStFissVqsiCtXjCd3wkDT7otYKJ4JGcwr3C2LL8ijGx8eD4zhwHIcuXbq47ec4DosWLQq4XRKKRL3xJR5lP6RUbFM8Q+CcCcDl1WNkAVmkM0PHm6Dj9DCI0YisiUcE4mBEBGKPxSJmZzuYeB2iDTqkvrIVrU2AWQfEGwT0iS9HZofz0JtF6BI46G4aCbFzF0hzvOUbgnous/Se338Q4s5DEEqssFXoYLfxYNCBcTw4zpmA23NEz3mjUddhzCG04LwZyRM3XOuLTNuewHjHtZXqyGlt5GPk1DaASlCJzsTcgJy6Rj5GnnviHJcnCzQAboKMMVWZylaBac9HFmKAM4xrV52LeuaxbAdDYOlvpHaYi21MEXBS3w5vn6NAPlYWdFIbopILUTkGsihzePRUqXCk68Sck0846SgBdjBemoAitetMhyO3y5jdcS5a8Se1KU9c0XoFNSvfqIQgZJtVXkK5TD3uUGpb6y2sf3ocZx3GGERRhCAIjn+lFxMljypjPARBgN1uU/bL9QXBVocYdKxjxKke5K6h5fB7jocJgsZT3ZTxJRRFxsH73ubJ5s2bwRjDFVdcgY8++khZXhAAjEYjOnTogLS0tIDbJaFIBBWPoWo5TA04xKRzvWqoVo0RRas0s5qX1qy28uWo1EWA5ww4z0fDxEXDwEwwW6NwvDYaMZwZJl6HKL0Ov15IQHJBAsw6INYgose2Q0hP2IH41FoYEjlwZsctQWQAz4Ez8uATzEBmMnDjEOhiYnys5NuEUVLjOGY0OxJ5c4LdEVu1OpN32+2Oeo6ZzfJ7u10JLSsTU2RPqdXu9GbaRSVhN7OpEndbBWlMol1Ks8OsIpjNmaSb2SEl6pYdp3YOgs0x69kx7lAUnLOfBVFaLccm6BwpcjjYBF4JP0thZx52R0odOTm3nJRbdHgobaIzMbcsQu1ykm5HuU124kJOyM3BJjqEIpNySUqJuXVgTCeFndWeS8Xr6JRyNlFUygHAxgTYIXUqiVEBVtg1q8NISbolASm4JOd2XQ0GkM/HphK2jiTeqhyMcoJuwCFIFe+kU7yJKtEq19Nsw3UspF0T7vZ0jBMOHOfjEeMqBOshDKVUQOHzuHe9lg15bsoa6IH2IVo1n39TxpeVzccv6j+jRo0CAOTl5aF9+/YXnfhehoQi0SBoPBRMJR5d1qtW7YbokpqnBpLXEYASugZ48LyUpkcq00HPG6GrNUHPmcBzBhi5CMUTGcHiYWJGGFRfdfnHowcHA2dHhP5nGHkOkXoOep6DjpOi066/MZ5zRpLVyCJEjexJ46H1kKmPqQvZC8RxHORJFJr9Lv1KAklbSXT/GFQTKbTlWtvkh4fO6YlzOV7dnroN2euntdX9tizCeX207ao9f7I3TvbMiY59dkUkKX04luHjGK9ZQ1ttl/Svdtyep+X7nMe4rC2t2seB9/jAVNbh5hzHc87jXJNpS++dq7Pw4J321fEk4zgddMqfNwboHH05bXcuG6j05SIOfIkFDjrISxKq68vLE3KcTiNMZf9MXSIiED9OXetua9r1IXh89enLXl+eM2/91aevujx0nj+f0JxTheUMai1nvLbRlGhJoefffvsNvXr1As/zKCsrw969e73W7dOnT0Btk1AkGg3vSw7KhWrPowCAl9xRHA+BWSB7HwVRJ4WrHdsWlXjkOB48Z5DEIy8JRz1ngs4R5lbDgwcHHXSCATrBAIPVBB304MFDx6R/tfU5N5EFQPOQl7fVD07p3L083DzY5Aovr+nspW/1MZ5sqatdb3ByGNyD6HK3g/lsU27Lmy2e2/QsBL21yzFeaZtnWv+wt2soj0301KdatHn6Lrieq6tQUm977Bfu3ynXNqU/nZztcI5vrac2XL9jnr8vTLKdcZpt9XV0tUO+Rup+RDlDN+cM5bt+51zxdA3rQn0OSrtyDnDV98Hdfv/7cv9sVPZzdX/vXPurV19e+nHty9/zCvScArl+R8w/o8hS4PGPv6aG4GOZPtc/vJs7/fr1Q2FhIZKTk9GvXz/FweAKx3G+xwd7gIQiERIY5PGM6kLVl5rjID/GwARHXce2wxfFAIBJopEJdogOjyPH8bA7Qtg8Z4DO8V5p2uGF4The8ZbI9eR9Os4AncvPQ94ne2k4VbCaQQAHnZuXydO2Gp7TKWU8dOAZ70E8akWPJ0+Cq6hxvdEzVbu8SmwAToGlLtM8gJi3Pj2IGocbVn0WHDjwjglCOo5zqe+7Tbc+ZYez0o/0VVG3peM4TepNnnOPasr7vT0s1MdzHKf0o+mTc/pd5W01vtLHOEZAuNWXbHXu0Lm0K+2Xvayc8l7edu3DG5rzA4POg/dcPjf528vDueSixlMNzq0vedv1HNX2e9rv2ob6nNTLP/pCblP5rrh8AnJkQI3cj6uH3rlfbsv/vtTn5nq91GWe+pFR98dz7p+ba1/+9qPuz7UPV9tdr59YPBBF3A73P/SbIL69huHlUczLy0NSUpLyPpi0WKHYt28/6Cj3XtjidgvwOlZD/g7YHS/58VjjLmTd2uBddnvqQ+dhn8oLJskOVRu8pq4itzj3vlzFm7wth484cM73ShmvtMWB04hdHpymH86D4JTD/0p9wCGQHe85ncMH5uiDcR7a0W67erTktng4hyJwjNMcwzk8esp+eZuTt1UiTnN9tZ5AzkWYyWVqazlohSk4uLehebC6y2rXr4a86SpI1ftc7ZDRCEfHv6LLtk9chKdLkVdbZVzlgT96wdNPw9/HdKD9BdpXfc7HW191nZOnpv3tL5Dzash+OqWZUVvZX8oeIAj49ddd/jUcAgQfQrEZ6NyA6NChg8f3waDFCkUifKjzgeNFpHlvT3FbaY5xF4L+iECtlR6FoKqMU/nipPC68zjNvy4CUi361IJPFmnK+E5HPVdhJx2nU4QdIIeftF5IWdDJ8o8Dp4g4tXiT38vXRxZunEPMOfc5rjfnFEZOocRphJlakMlWcpzKE+fox1VgKd4xlbdErqcqVvrmXOo57VQdC3dPn9KnfDyYi4B09qPe5jh5DC/TCDe5XO3NlL07mm+WnwLCm5fITRhz2ieop7Yu5hnr0Ta3UKl7Lc/iR/4eebaovmJU3bbHdj30F4h/yl2c+j66vv15+5w89edvH/lVsdgHHkBg4ctQ4Gs9Z1cPfDixZs0atG7dGmPHjgUAzJ07F6+99hp69OiBd955J2AhSUKRIBx4W/ta2lTfVDwLRG/C0NmkytfkKOc5R1tw2Vb26zX13QShY59a3KlFoVQmTfqRj9cxvbM+k+s6haBaBCpnzGRPodODp1NdGw6Q5Kc69MxxbuJPJysuuQ6v9iBqBZl0/pybkNFzzgblcJwsRF3LXAWe/Mm4hticglSeQORsUxZt6uM4ADqOaQSc2n65bU7VnvMctdO5lD4d+7RiUSUOOVU9TdjRgxxweQY6rw1zq+PsXyse4WKrJwKdEOCpPW/hZ4+h0gD6q8t2f9r15HXyKMwD6Mtbf948XN6CIf72Wd9JG97aj9LHQTvooWki5Wb1fu7NY952/ViyZImyNOH27duxfPlyLFu2DF988QXmzJmDjz/+OKD2SCgSzZr6/k3oX/JetUh0hmg51RrYUltOKeRLGLqGiznwijAEAJ53CDiVKNRBD3U4WAc9tDMTealM5SHUQQ9OdYPUwegQhA5xxtSzZSURqFOHecFBx2lHC+o4R5nKo6fnAHVIluck4edsA8rYN0VMunjh9Lz2M9S7ePF0nLvYk9uQBYZeJa7kbW0/0rbaG6ce78U5PH861YNRBwbeRbRJ206xpuNEh7h09MMzyYuoFpvqNhxiUyPyeNHhDVXVcbzkbV71cXMOcap5iHPMTUy4eQU5aEcvuAhBZR/HvB/jA3/S6nlsq55usbr6q09WmfqmBvTrvAI4ByWrmI9rE+j5BXpuvtpPPBMvGdfUlSKg5KX1RLjNelZz6tQpdOrUCQCwdu1a3Hzzzbjnnntw2WWXYfTo0QG3R0KRCAtcB2VfFPXMPeVVJNZRXyP81OFm6OA6ZlA9RhCAM9Sr8hi6ho9dw8Y8eM2YP52zFWnbIRJ1ao8ixyvePekYd++gjldNYOEAPe8MBcNhtas3UOfqLeShOUber/YASttOMaZzbMvW6jhAz7uKPq0w1KnEluzV80cYagQpLyoiEwB0PFPEoNwPzzFFfMmCkOdVk5tUfQDSx83zTpEolTGN8FMEnMoWjmPgeKcgkPZ78BC6xr157X5Nm9qvmm/qEiIu7QT6E/M6nkzdrx+2yv361Z4/BHhebv3WR5z6OE+Oq2PsnT/91XEd9fUQ4aHC1+SnZqBz6010dDTOnTuH9u3b45tvvkFubi4AwGw2o6amJuD2mq1QfOWVV/Dss8+isLAQffv2xcsvv4zBgweH2iyikanvj90tVQ9UM7EZc9zxHbOrGQPHyeNxdI5t5/QBOW2JlFOOU5ULzrGHDGAuZSKzO4K5DkHARPC8LHp5aWk4Js2mllqUsgeqRaAASKlKmE0ZfyjC7jHUzDtUggC94lH0NNbQzrRjDR1nDY6pQ5i8MoNZEqoMOhGacYU60SksZemqhIVlT6SrUOSg8kqqvImObZ0iJJ0+YT0neTM1bWjCwpKY5DSiz7ntDBkzjdBVeyFlj6P605WFpdoDKotD2XMoCUXn+Skil3O2oxabsgdSbavSjoxSR1Xk5kFkbuWuIW/AKRyd9T206SvEyTjHl7sOheTBwxkIXsWPut8Aw791tucPAZ6X23nUx6vlbTymqim/rleA7cvUCL46aFr48ij6Gr/Y3Lnqqqtw9913o3///vj9999x7bXXAgD279+PjIyMgNtrlkLxvffeQ25uLlauXIkhQ4Zg2bJlyMnJweHDh+u14DUR5ijCz8tuTYoRz2LRiQCnWJT3q9Nn8I4uXeahctJybpKghPSE5pyrZsghZ1GUVsqQ80TKghOcJCk4pgMggIe09jE4XhKYDtEoCVoevGPFDQ46MM6ZikhKwSM6UglJJYrHEdrxiXL42pN45B3n7xRxUmgaDtEjbTNF1Mnj4GSvpCxCpHGN8rUDbBzAie6TUhRBKbqPP9TJdVVeRw6ch4knnKYO4JxwIp+HbEegYxLl8YiexiLKHkt12047XcSZSmiqt6FqVzpWFnHOY9UTQlxHkHkac8h7KFP/SlzHRtaFrwev53GUAYgNL22r+/TXzrrwV0AEfE5+nEO9+vTUv6+xeYF+Ti7UNv05LBKsjlnP8P+6NzdeeeUVzJ8/H6dOncJHH32EVq1aAQB27dqFO+64I+D26i0UJ02ahGnTpmHkyJH1baLePP/885g+fTqmTJkCAFi5ciXWrVuH119/HY888kij20M0DdS3OLdbgEb4yXj+a1NZhpBBOUb6A1qenSwoTTrHLkqeQuYiLCWPIK8aDyM4RKDUpmYMI2QPHe+cXewh1Y1czkF2P8oSTqdcBHnmMwdeGZ/oOsmFg845WQaSoNMxvaYPeeazksga2gkvAMDLia6Z7DnUeiPliS3yFZdnPivtcXIZVHVU3knJWKcHUxaCgEZkqmc+A+7jIeV/tbOVtaNVnWFuTqmvFnOcqky97akfZ5ta76b6HJXTU3srXep6mv0s7dc+1NXeUDWuvwVPs59dj3H9ZQQ6WSMQfD2u/e2VMS5oNvo7dq2x+wtGn/WZXe1KqUVoFsm2gTpCz83jFOpFfHw8li9f7la+aNGierVXb6FYVlaG7OxsdOjQAVOmTMGkSZPQtm3b+jbnN1arFbt27cK8efOUMp7nkZ2dje3bt7vVt1gssFgsynZ5eXmD20g0UerwLLpVd4RbAagEo3YcouxhlJqXH7qexKjKa8mcYlIORXPMeeNinBTalgSmc5UPzaxUR6JwThmYJoWqnbZL3kdeXoSO45XE2rJDgOMEzbq/rmFrAMrEGEG1rR43yYOHTpVuR6qjc5lMo1NWApH64aBzuY6SZ1B1DMe7eL84R5gWqjqcRmXoOK1YUHsrpX61YW9XryWg8lxqvJOqNly8j5p2PAhG+Xzd2nGpo/Z2Km2o7JC2fafbcanusNfFs6iyz1PSb09teGpH7tefIYKecjy6loXzDNRwwyqKaC6fmG+PYnhTWlqKnTt3ori4GKKoHhfNYeLEiQG1VW+huHbtWpSUlODNN9/EmjVrsHDhQmRnZ2PatGm4/vrrYTAY6tu0T86ePQtBEJCSkqIpT0lJwaFDh9zqL126tN4qmghDAhSLwUfrGXTf7XmfxpvoaMPz+q8qb6HDq+i9LV6p62xXK/rUE2PkY9TeRfk4TTJsl+TY3hJja71r7l5G9bhDZVa12hLORQiqPI3ObXWI1X1yDeCYYKM0ovVE+hKGULWtFYbuAtPXyifqAzXhY5c23Lx88Bw2drUFLvXktkRPNqj6Btx/Lt68mJ7sU+MqK1zrNqP5EQGh/tOm6SeU8Q//MkY0DXzmUQzjMYqff/45JkyYgMrKSsTGxir3VqCRhSIAJCUlITc3F7m5udi9ezdWrVqFiRMnIjo6GnfddRfuvfdedO7c+WK6uGjmzZunzPgBJI9iu3btQmgR0RRR3/yU0LN70E4qV3503hNuqxewk+poj3VNm6Mu85Zw2zlu0XEcXHIq1pFPUU607S3JthQ+9h5mVk94kQWffJ00ApBzij/5nF1DzG7hZU4VhlYJPs0YQJW4dB2/qFx5zku4GM4ybzkW1aKyrvyKULUplWtDx2oR522yjKuw41w8hs66HsSglzGP6jrq8ZRKmxeRmNp9KTzmWsE7XjTSRY0H9MLFTlIIxphMT+PfvAnFxjy3uvr1p/1oQySkb2fTH6zYUvMoPvTQQ5g6dSqWLFmCyMjIi24vKJNZCgoKsGHDBmzYsAE6nQ7XXnst9u7dix49euCZZ57BnDlzgtENAKB169bQ6XQoKirSlBcVFSE1NdWtvslkgslkClr/RNMn0FupqyBUtl0EoGvSbee2dmVj6VAPwtDDqiyuolCdMkc5RiX01Am6lWXyOL3buEOvQhAAz/SKCJTORKeIQHnbbdYz51hxWhF7nBTqVc5XnlTiW/hp0tRwnMazJu/TqS6/Dr4FnnSOWi+anIJHLe6c7UiPcHnWs1rE6VzEG88xjViTBKdWoAUy65kHlFyLgFMYuk4wUU+CgbodGU1uRsdxLil31MIVgDR3yoMw4Dj/neyeZkF7Os5TP67em0abxezapid89ON6fhc1m7iOfn19Bhc1W7o+19FH+3HFUeC8yt6mhd2Hkf6sG95cyc/PxwMPPBAUkQhchFC02Wz47LPPsGrVKnzzzTfo06cPZs+ejTvvvBOxsbEAgE8++QRTp04NqlA0Go0YOHAgNm7ciPHjxwMARFHExo0bcd999wWtH6KF4/PJKYtET8FA2funEoiAIhJdE27X5TXkHT9RpxBUL8kn7fGVcFuqr9d4CXmmU7yCAMAxThGHUh1pr3oCijodDiCFfWVhKNfR8dp0OLLwUgtDdZjXkzDUwykK5TpqASfX1bajTbgt51WE6hj1jGV1XkVZrPFyO5Bnasu5FlXtcqKbeNOMS/SQcFunyoGoiEeVqNO5CDgpwbbW1+GacFvuy1moFZwcB695FjX4ISDcJsZ4GxDpT+zYkwsn0Id1XfrI1+QFl/59Jq32R4e59BVIUmv3z8LPAwPssz6Jx+tq3yT/ddUMhFY4z2z2RU5ODn7++WdkZWUFpb16C8U2bdpAFEXccccd2LlzJ/r16+dW5/LLL0d8fPxFmOeZ3NxcTJo0CYMGDcLgwYOxbNkyVFVVKbOgiZZLnbcF/1wnLgWu3kTPPbuOGfQn4bZmPKDKi+hoURFvUoF23WaHZZDDyfIxnhJu65hqBRg4Z0IDkgdRvTKLLBK1k0ucwlE6RhKGrvvVoVUdpx1nqOO0Y/N43iEElevlSLitEoZ6lWh0bmtDtHpIZczRhiwMlfPlmIvYZA5b5NAwc/StDi8zR3ofZ4oYntMKUJ5zz4Go491T26hFHc9rhSDvEHAcx5SZuxoRCPiVcJvXMY3w43XqBuAm5DhOtY+p3sswuP2YXIa2atuB+z43XESHR++cp5kvXlCPo/RJgMnAPfWhxqfdgeDtM/HARfVZX7Hopf3mknCboa7Qc/iKyLFjx+Jvf/sbDhw4gN69e7vNGbnuuusCaq/eQvGFF17ALbfcArPZ7LVOfHw88vLy6tuFV2677TaUlJRgwYIFKCwsRL9+/bB+/Xq3CS5Ey0N+vnl69kkV1HE21xyJnupI9ZiSYoYDIIAxHdSzm5l8nNKr94Tbcjtywm2lDZFJoWU5wsc5ZzJLAlCnsVmaB8xrEm5L1rqv7WznnMLRBh569dKBLh5GHdM5xiKqQs8CrxGCPMdDp8lh5+5h5FWzkOXws3t41zlmEXBPuC0LS0Xk8Y5rwTnr6Bxty23K7cgVeNmDqPp09GpB5wgxy6Fm7dhFlXfQJZwrJ912XgPtMW4haKWO/AHLItVFBLp4Kt3CyOp+1TkZVYJVvQygpzYAp/DTrObiA59JuZUCL6rNLfTs+SHtz/J1nvr1NTHBnzQo3vrzJ4zubx919ekrNY3foXs/+vEXb31U2QI0IITYfYjpcA49T58+HQCwePFit30cx0EQAhtfWm+hGOismWBz3333UaiZ8Eigv39Pq7RoboQcB+0qLU6xKO2W9jtlonOVFklzOkSjalUVxpxpcJRumJQORxmnyERwnOg4HuAgQOR4VVhZ5/CFSYLTkWobIic4JqV4Fo48dMpf2s4VW5yJt+3Q5kmUxKZTPAJw5E50zlTmIKejcXol1ZNXpDJoZy5zckob57V3XR/adXaweoyjNsG2E9cE3HJ6Gm3ybKewVE9YUUSio54mabZLP+oxjlId121teBtwX91FLVY9nQvg9HA6r4GPMYyaa63+DjvHV3pD3YeUot3zmEa1vbLN/uL6cPZn5ml9cgfWd0ZrsPrypKP8Hc95sf0FInr9bV9Nla+Bf02Mlhp6VqfDCQbNcmUWgvAX11saB7i4LVwSZHt6mMr5ESF5Gp03ZabsVoemGZzeOk6pzzs9hRrfFjQha09jG+Vyf2ZFO89TG8KW/nWOQ3TuU0+KcQhGzllfOZbXKSITgFt4G6p2lIkyyvk6Z0rLx6pFqGbFF+V8OJVgc3g1NddJdV4qcaQVcs6JNYpdnPZYTzOrVYdoPKRqNLOi1X2oRKJGMMK93NssZZcm3frUHONhn+u2xvaLfG6qJwgF2qzbfAw/9UawPWLB7stTP57Cmp6EeqD9eTsndX8N2Q8AFNRalMhIU6elTmZRU1tb6zPy6w8tVij++useXPRdk2iS+JXnS7lzqsYJ+oy9uYw/5Hg40+NIYwvVE0zcZi8rx6j+hVr4ONtSCzdnXZ20j5PGmug4vUP48ZDS3cj+QJ1TwGlmSDvS6DBesy0fJ49bdG5LSbF5xxXSQRZVIqRaTPH8SZ44QSXy5HGO8rk5z1T2IDKHWJPHO3Gc04OoHssor+2sXpZPstvVo6j1yKmFHOfSphxG5gFlrCIHKVztDENr21T/q/XuOcuc7TtD2RzkMZJMaZN3ea9+iHvz+rmmMuE4tWhzrg/NO0LOih2qELS3NCyuKVG8eZTU7UjjJJ2eTPdQt1ZsMMYp7YqMAxM5R7n3lCzOtt37crVJbtufPuQ6rtdF7kdb5vmaqfsBACZymn5cr6HWA6sa18prP6O6+qrrnFzPy7Uff8/JVz/fH0vBL6d/g8hsaOozWlrqEn6CIGDJkiVYuXIlioqK8PvvvyMrKwuPP/44MjIyMG3atIDaa7FCkQhf6lpeioPqKcY5Q8a+XRAuf0Ez5Q7s9BjK7SuCUeehTCsQPe331JZaXHoWoTqlnPdoi6sNWtvU7WiEqosYVbevFqVgKmHKVGUqgao+dx5OcateClAtVOW2NDO2VTd39XVUl6u9ks7j5GPkSTfqkLg8TlIrbl0/Kaegc+9LXcc15A1oBayrlzJQb48nmzRjMDU2OPd7w5NnxdMvQd2ELNxd2/bWjdye3Jf8G63Lq6O+lr76UjdTVx/Mg52u/bj25Ql1u576Unfreu3UffkTunc9J299eeonkL78uXb/qzjTbDyKLXUJvyeffBJr1qzBM888o4xXBIBevXph2bJlJBQJoi40YxI1NwvHza+u6ZScyqekLIGnCl8zd68mA+rwWMrUJSLdxaer8PS88ov3vj2JSVcvqNt7D97QumzwJGA9iVdfHlfXdurqUy2I1QIXcApaeZ1q1/p1zVoHnOJY26dawHoWyup99cHVNu1KOKr3zJ/vnDsi53mMk7o9zkufXtuEevKXe/siJ3q119f5BtqHph2X/urTj6e+6urHtS9f1+9i+wr2OZ0Ufmk2KqulJtx+44038Nprr+HKK6/EjBkzlPK+fft6XMGuLkgoEi0aX2MSvR/kYfKLy1/YmhYU4Vm/v8JdPZaapgMNnwRFrHoiMNHjWdTVp19P+CeK/enDH7EYSF919Vfvvjxeu8CFKPPjO+qtXV/nxXwk/PPWpy/7PfVVnz7q6sdTX776aa59BXLtLLbSOqM2TYXmYWXwyc/PR6dOndzKRVGEzWYLuD0SigRxEfh1wwzKX9+iR1EYcMv+HuASD20YB0LwBZOagEV0nQ3KIXUvD9UGEICBEer+iZYAY4ELjVDRUiez9OjRA99//z06dOigKf/www/Rv3//gNsjoUgQzYRG/Su+UUJLqtRADTCwPOhnUFeDTfnB420g5MV+zsGaJhzsvi7mvII5RTiYfTWRfpqLNxFouQm3FyxYgEmTJiE/Px+iKOLjjz/G4cOH8cYbb+CLL74IuD36E5QgCIIgiLCDMe+vZqR3A+b666/H559/jm+//RZRUVFYsGABDh48iM8//xxXXXVVwO2RR5EgiJDTnLwUzZKG8hA35qSGxuqLziksYKgj9NxoloSGESNGYMOGDUFpizyKBEEQBEGEHQLz/gpn6ZyVlYVz5865lZeWliIrKyvg9sijSBAEQRBE2OHLkRrOTtbjx497XM/ZYrEgPz8/4PZIKBIEQRAEEXa0tNDzZ599prz/+uuvERcXp2wLgoCNGzciIyMj4HZJKBIEQRAEEXaEsdPQI+PHjwcgrf40adIkzT6DwYCMjAw899xzAbdLQpEgCIIgiLDDZ3qcMFSRoij5STMzM/HTTz+hdevWQWmXhCJBEARBEGGH3Ud8ORyFokxeXl5Q2yOhSBAEQRBE2BHGWrBONm7ciI0bN6K4uFjxNMq8/vrrAbVF6XEIgiAIggg7BMa8vgIVkVu3bsW4ceOQlpYGjuOwdu1azX7GGBYsWIA2bdogIiIC2dnZOHLkiKbO+fPnMWHCBMTGxiI+Ph7Tpk1DZWWlps5vv/2GESNGwGw2o127dnjmmWcCPu9FixZhzJgx2LhxI86ePYsLFy5oXoFCHkWCIAiCIMIOIYhrPVdVVaFv376YOnUqbrzxRrf9zzzzDF566SWsWbMGmZmZePzxx5GTk4MDBw7AbDYDACZMmICCggJs2LABNpsNU6ZMwT333IO3334bAFBeXo4xY8YgOzsbK1euxN69ezF16lTEx8fjnnvu8dvWlStXYvXq1Zg4cWJgJ+kFEooEQRAEQYQdvsRgoB7Fa665Btdcc43nthjDsmXLMH/+fFx//fUAgDfeeAMpKSlYu3Ytbr/9dhw8eBDr16/HTz/9hEGDBgEAXn75ZVx77bX45z//ibS0NLz11luwWq14/fXXYTQa0bNnT+zZswfPP/98QELRarVi2LBhAZ6hdyj0TBAEQRBEWMFQx8osTMotWF5ernlZLJaA+8rLy0NhYSGys7OVsri4OAwZMgTbt28HAGzfvh3x8fGKSASA7Oxs8DyPHTt2KHVGjhwJo9Go1MnJycHhw4cDChnffffdipcyGJBHkSAIgiCIsEOoY9bz7t27NUmpAWDhwoV44oknAuqnsLAQAJCSkqIpT0lJUfYVFhYiOTlZs1+v1yMxMVFTJzMz060NeV9CQoJf9tTW1uK1117Dt99+iz59+sBgMGj2P//8836emcPOgGoTBEEQBEE0A3ytvsIADBwwAJs2bdKUm0ymBrWpMfjtt9/Qr18/AMC+ffsuuj0SigRBEARBhBfM92QWBkCn0yE2Nvaiu0pNTQUAFBUVoU2bNkp5UVGRIthSU1NRXFysOc5ut+P8+fPK8ampqSgqKtLUkbflOv6wefPmgM/BFyQUCYIgCIIIOxjzrhR97QuUzMxMpKamYuPGjYowLC8vx44dOzBz5kwAwNChQ1FaWopdu3Zh4MCBAIBNmzZBFEUMGTJEqfPYY4/BZrMp4eINGzaga9eufoWdPc3GdoXjOHz00UcBnR8JRYIgCIIgwo66PIqBUFlZiaNHjyrbeXl52LNnDxITE9G+fXvMnj0b//jHP9C5c2clPU5aWpqy/nL37t1x9dVXY/r06Vi5ciVsNhvuu+8+3H777UhLSwMA3HnnnVi0aBGmTZuGhx9+GPv27cOLL76IF154wS8bXcdbBgsSigRBEARBhB3BXMLv559/xuWXX65s5+bmAgAmTZqE1atXY+7cuaiqqsI999yD0tJSDB8+HOvXr1dyKALAW2+9hfvuuw9XXnkleJ7HTTfdhJdeeknZHxcXh2+++QazZs3CwIED0bp1ayxYsMDv1DirVq0K7KT8hGPB9L82A8rLyx2qWwfA+4LhBEEQBEH4ggEQUFZWFpSxfsHiyJEj6N6lB+5Kfcxrnd0VG3HZxF5YsWJFI1rWPCGPIkEQBEEQYUdd6XEI/yChSBAEQRBE2CE00mSWcIeEIkEQBEEQYUddeRQJ/2hWS/gdP34c06ZNQ2ZmJiIiItCxY0csXLgQVqs11KYRBEEQBNFEYAAEkXl9+RKRhJZm5VE8dOgQRFHEv/71L3Tq1An79u3D9OnTUVVVhX/+85+hNo8gCIIgiCYChZ6DQ7MSildffTWuvvpqZTsrKwuHDx/GihUrSCgSBEEQBKEg+ggwk0z0n2YlFD1RVlaGxMREr/stFgssFouyXV5e3hhmEQRBEAQRQnx6FBvRjuZOsxqj6MrRo0fx8ssv4y9/+YvXOkuXLkVcXJzyateuXSNaSBAEQRBEKBAZ8/qi0LP/NAmh+Mgjj4DjOJ+vQ4cOaY7Jz8/H1VdfjVtuuQXTp0/32va8efNQVlamvE6dOtXQp0MQBEEQRIgRwLy+aDKL/zSJ0PNDDz2EyZMn+6yTlZWlvD9z5gwuv/xyDBs2DK+99prP40wmE0wmUzDMJAiCIAiimSAw73KQUfDZb5qEUExKSkJSUpJfdfPz83H55Zdj4MCBWLVqFXi+SThFCYIgCIJoQviezEJC0V+ahFD0l/z8fIwePRodOnTAP//5T5SUlCj7UlNTQ2gZQRAEQRBNBwYBgte9vkQkoaVZCcUNGzbg6NGjOHr0KNLT0zX7aGAqQRAEQRAydh8jEcmj6D/NKm47efJkMMdsJdcXQRAEQRAEIKW/EX38R0LRf5qVR5EgCIIgCMIfBM5X6JnmPfsLCUWCIAiCIMIOX2KQPIr+Q0KRIAiCIIiwQ+DsXvcxjoSiv5BQJAiCIAgi7LDDu1Ck0LP/kFAkCIIgCCLs8LX+CoWe/YeEIkEQBEEQYYcAm9d9zEeORUILCUWCIAiCIMIMBjvnXShS6Nl/SCgSBEEQBBF2+Ao9g0LPfkNCkSAIgiCIsENg5FEMBiQUCYIgCIIIO2iMYnAgoUgQBEEQRNhBs56DAwlFgiAIgiDCCgbfoWfGKPTsLyQUCYIgCIIIO3yFl31PdCHUkFAkCIIgCCLsEJiPJfwo9Ow3JBQJgiAIgggzGESfoWeazOIvJBQJgiAIggg7fI9DJI+iv5BQJAiCIAgi7PDtUaQxiv5CQpEgCIIgiLDD1xhFSrjtPyQUCYIgCIIIO3x6DRmFnv2FhCJBEARBEGGHz9AzeRT9hoQiQRAEQRBhhyj6SI9DYxT9hoQiQRAEQRBhBy3hFxxIKBIEQRAEEWYw8igGCRKKBEEQBEGEIZRHMRiQUCQIgiAIIuwQfS3hRx5FvyGhSBAEQRBE2MF8zHr27W0k1PChNoAgCIIgCCLYMCb6eNUv9PzKK68gIyMDZrMZQ4YMwc6dO4NsddODhCJBEARBEOEHs3t/1cOj+N577yE3NxcLFy7E7t270bdvX+Tk5KC4uDj4tjchSCgSBEEQBBF2MAheX/URis8//zymT5+OKVOmoEePHli5ciUiIyPx+uuvB9/4JgQJRYIgCIIgwg/GvL8ACIKA8vJyzctisXhsymq1YteuXcjOzlbKeJ5HdnY2tm/f3iinEyqarVC0WCzo168fOI7Dnj17Qm0OQRAEQRBNgLi4OABSwm3m5T+A4fDhw4iLi9O8li5d6rHNs2fPQhAEpKSkaMpTUlJQWFjY0KcUUprtrOe5c+ciLS0Nv/76a6hNIQiCIAiiiZCcnAyAgxRe1nmoIQJgeOeddxAdHa3ZYzKZGt7AZkazFIpfffUVvvnmG3z00Uf46quvQm0OQRAEQRBNiJKSYiQlJUEShergKVPK0tLS/G6vdevW0Ol0KCoq0pQXFRUhNTU1CBY3XZpd6LmoqAjTp0/Hm2++icjIyDrrWywWtzEIBEEQBEGEL61bt4YkcSTvoRPpfU1NVUDtGY1GDBw4EBs3blTKRFHExo0bMXTo0Iu2tynTrIQiYwyTJ0/GjBkzMGjQIL+OWbp0qWb8Qbt27RrYSoIgCIIgQk11daXjHVP9K+K///0vzGZzwO3l5ubi3//+N9asWYODBw9i5syZqKqqwpQpU4JlcpOkSQjFRx55BBzH+XwdOnQIL7/8MioqKjBv3jy/2543bx7KysqU16lTpxrwTAiCIAiCaApERERgzZo1cHoVJcF4xx131Ku92267Df/85z+xYMEC9OvXD3v27MH69evdJriEGxyrb3ryIFJSUoJz5875rJOVlYVbb70Vn3/+OTiOU8oFQYBOp8OECRMcXwjflJeXO2ZE6SANdiUIgiAIInAYAAFlZWWIjY0NtTEeEUUROp38vGfYtGkTLr/88lCb1axoEkLRX06ePKkZY3jmzBnk5OTgww8/xJAhQ5Cenl5nG2VlZYiPj4fkTCWhSBAEQRD1QwrllpaWKilpmiLffvstrrrqKgAcGKM1ngOlWc16bt++vWZbntbesWNHv0QiAFRUVDje0ZeFIAiCIC6WioqKJi0UpSTZPP7440ioTWmWNCuhGAzS0tJw6tQpxMTEaELYzYXy8nK0a9cOp06darKu/oaAzpvOuyVA503n3ZxgjKGioiKgNDOhgjEh1CY0W5q1UMzIyECgkXOe5/32PjZlYmNjm+WN5WKh825Z0Hm3LOi8mx9N2ZNIBIcmMeuZIAiCIAiCaHqQUCQIgiAIgiA8QkKxmWEymbBw4cIWtx4lnTedd0uAzpvOmyCaGs0qPQ5BEARBEATReJBHkSAIgiAIgvAICUWCIAiCIAjCIyQUCYIgCIIgCI+QUCQIgiAIgiA8QkKRIAiCIAiC8AgJxWbEk08+iWHDhiEyMhLx8fEe63Ac5/Z69913G9fQIOPPeZ88eRJjx45FZGQkkpOT8be//Q12u71xDW1gMjIy3D7bp556KtRmBZ1XXnkFGRkZMJvNGDJkCHbu3BlqkxqcJ554wu2z7datW6jNCjpbt27FuHHjkJaWBo7jsHbtWs1+xhgWLFiANm3aICIiAtnZ2ThypHmvz1vXOU+ePNnts7/66qtDYyxBeICEYjPCarXilltuwcyZM33WW7VqFQoKCpTX+PHjG8fABqKu8xYEAWPHjoXVasW2bduwZs0arF69GgsWLGhkSxuexYsXaz7b+++/P9QmBZX33nsPubm5WLhwIXbv3o2+ffsiJycHxcXFoTatwenZs6fms/3hhx9CbVLQqaqqQt++ffHKK6943P/MM8/gpZdewsqVK7Fjxw5ERUUhJycHtbW1jWxp8KjrnAHg6quv1nz277zzTiNaSBB1wIhmx6pVq1hcXJzHfQDYJ5980qj2NBbezvvLL79kPM+zwsJCpWzFihUsNjaWWSyWRrSwYenQoQN74YUXQm1GgzJ48GA2a9YsZVsQBJaWlsaWLl0aQqsanoULF7K+ffuG2oxGxfVeJYoiS01NZc8++6xSVlpaykwmE3vnnXdCYGHw8XR/njRpErv++utDYg9B+AN5FMOQWbNmoXXr1hg8eDBef/11sDDPqb59+3b07t0bKSkpSllOTg7Ky8uxf//+EFoWfJ566im0atUK/fv3x7PPPhtW4XWr1Ypdu3YhOztbKeN5HtnZ2di+fXsILWscjhw5grS0NGRlZWHChAk4efJkqE1qVPLy8lBYWKj5/OPi4jBkyJCw//y3bNmC5ORkdO3aFTNnzsS5c+dCbRJBKOhDbQARXBYvXowrrrgCkZGR+Oabb3DvvfeisrISDzzwQKhNazAKCws1IhGAsl1YWBgKkxqEBx54AAMGDEBiYiK2bduGefPmoaCgAM8//3yoTQsKZ8+ehSAIHj/LQ4cOhciqxmHIkCFYvXo1unbtioKCAixatAgjRozAvn37EBMTE2rzGgX5t+rp8w+n37ErV199NW688UZkZmbijz/+wKOPPoprrrkG27dvh06nC7V5BEFCMdQ88sgjePrpp33WOXjwoN8D2x9//HHlff/+/VFVVYVnn322yQnFYJ93cyWQ65Cbm6uU9enTB0ajEX/5y1+wdOlSWiu2mXPNNdco7/v06YMhQ4agQ4cOeP/99zFt2rQQWkY0NLfffrvyvnfv3ujTpw86duyILVu24MorrwyhZQQhQUIxxDz00EOYPHmyzzpZWVn1bn/IkCH4+9//DovF0qTERDDPOzU11W1mbFFRkbKvKXMx12HIkCGw2+04fvw4unbt2gDWNS6tW7eGTqdTPjuZoqKiJv85Bpv4+Hh06dIFR48eDbUpjYb8GRcVFaFNmzZKeVFREfr16xciqxqfrKwstG7dGkePHiWhSDQJSCiGmKSkJCQlJTVY+3v27EFCQkKTEolAcM976NChePLJJ1FcXIzk5GQAwIYNGxAbG4sePXoEpY+G4mKuw549e8DzvHLOzR2j0YiBAwdi48aNykx9URSxceNG3HfffaE1rpGprKzEH3/8gYkTJ4balEYjMzMTqamp2LhxoyIMy8vLsWPHjjozPYQTp0+fxrlz5zRimSBCCQnFZsTJkydx/vx5nDx5EoIgYM+ePQCATp06ITo6Gp9//jmKiopw6aWXwmw2Y8OGDViyZAn++te/htbwi6Su8x4zZgx69OiBiRMn4plnnkFhYSHmz5+PWbNmNTmBXF+2b9+OHTt24PLLL0dMTAy2b9+OOXPm4K677kJCQkKozQsaubm5mDRpEgYNGoTBgwdj2bJlqKqqwpQpU0JtWoPy17/+FePGjUOHDh1w5swZLFy4EDqdDnfccUeoTQsqlZWVGi9pXl4e9uzZg8TERLRv3x6zZ8/GP/7xD3Tu3BmZmZl4/PHHkZaW1qxTfPk658TERCxatAg33XQTUlNT8ccff2Du3Lno1KkTcnJyQmg1QagI9bRrwn8mTZrEALi9Nm/ezBhj7KuvvmL9+vVj0dHRLCoqivXt25etXLmSCYIQWsMvkrrOmzHGjh8/zq655hoWERHBWrduzR566CFms9lCZ3SQ2bVrFxsyZAiLi4tjZrOZde/enS1ZsoTV1taG2rSg8/LLL7P27dszo9HIBg8ezP73v/+F2qQG57bbbmNt2rRhRqORtW3blt12223s6NGjoTYr6GzevNnjb3nSpEmMMSlFzuOPP85SUlKYyWRiV155JTt8+HBojb5IfJ1zdXU1GzNmDEtKSmIGg4F16NCBTZ8+XZPqiyBCDcdYmOdOIQiCIAiCIOoF5VEkCIIgCIIgPEJCkSAIgiAIgvAICUWCIAiCIAjCIyQUCYIgCIIgCI+QUCQIgiAIgiA8QkKRIAiCIAiC8AgJRYIgCIIgCMIjJBQJgiAIgiAIj5BQJAiCIAiCIDxCQpEgCIIgCILwCAlFgiCaBCUlJUhNTcWSJUuUsm3btsFoNGLjxo0htIwgCKLlQms9EwTRZPjyyy8xfvx4bNu2DV27dkW/fv1w/fXX4/nnnw+1aQRBEC0SEooEQTQpZs2ahW+//RaDBg3C3r178dNPP8FkMoXaLIIgiBYJCUWCIJoUNTU16NWrF06dOoVdu3ahd+/eoTaJIAiixVLvMYpHjx7F119/jZqaGgAA6U2CIILBH3/8gTNnzkAURRw/fjzU5hAEQbRoAvYonjt3Drfddhs2bdoEjuNw5MgRZGVlYerUqUhISMBzzz3XULYSBBHmWK1WDB48GP369UPXrl2xbNky7N27F8nJyaE2jSAIokUSsEdxzpw50Ov1OHnyJCIjI5Xy2267DevXrw+qcQRBtCwee+wxlJWV4aWXXsLDDz+MLl26YOrUqaE2iyAIosUSsFD85ptv8PTTTyM9PV1T3rlzZ5w4cSJohhEE0bLYsmULli1bhjfffBOxsbHgeR5vvvkmvv/+e6xYsSLU5hEEQbRI9IEeUFVVpfEkypw/f55mJhIEUW9Gjx4Nm82mKcvIyEBZWVmILCIIgiAC9iiOGDECb7zxhrLNcRxEUcQzzzyDyy+/PKjGEQRBEARBEKEj4Mks+/btw5VXXokBAwZg06ZNuO6667B//36cP38eP/74Izp27NhQthIEQRAEQRCNSL3yKJaVlWH58uX49ddfUVlZiQEDBmDWrFlo06ZNQ9hIEARBEARBhABKuE0QBEEQBEF4xK/JLL/99pvfDfbp06fexhAEQRAEQRBNB788ijzPg+M4MMbAcZxSLh+qLhMEoQHMJAiCIAiCIBobv2Y95+Xl4dixY8jLy8NHH32EzMxMvPrqq9izZw/27NmDV199FR07dsRHH33U0PYSBEEQBEEQjUTAYxQHDx6MJ554Atdee62m/Msvv8Tjjz+OXbt2BdVAgiAIgiAIIjQEnEdx7969yMzMdCvPzMzEgQMHgmIUQRAEQRAEEXoCFordu3fH0qVLYbValTKr1YqlS5eie/fuQTWOIAiCIAiCCB0Bh5537tyJcePGgTGmzHD+7bffwHEcPv/8cwwePLhBDCUIgiAIgiAal4A9ioMHD8axY8fwj3/8A3369EGfPn3w5JNP4tixYwGLxK1bt2LcuHFIS0sDx3FYu3Ztncds2bIFAwYMgMlkQqdOnbB69epAT4EgCIIgCILwA7/yKLoSFRWFe+6556I7r6qqQt++fTF16lTceOONddbPy8vD2LFjMWPGDLz11lvYuHEj7r77brRp0wY5OTkXbQ9BEARBEAThxK/Q82effYZrrrkGBoMBn332mc+61113Xf0M4Th88sknGD9+vNc6Dz/8MNatW4d9+/YpZbfffjtKS0uxfv36evVLEARBEARBeMYvj+L48eNRWFiI5ORkn0KO47gGTbi9fft2ZGdna8pycnIwe/Zsr8dYLBZYLBZlWxRFnD9/Hq1atdIkCieIlgBjDBUVFUhLSwPPBzzyhHBBFEWcOXMGMTExdD8hWhx0P2kZ+CUURVH0+L6xKSwsREpKiqYsJSUF5eXlqKmpQUREhNsxS5cuxaJFixrLRIJoFpw6dQrp6emhNqPZc+bMGbRr1y7UZhBESKH7SXhTrzGKzYl58+YhNzdX2S4rK0P79u1x6tQpxMbGhtCyxscuiDhTVoP8C7XIv1CNwnIListrcbbKgvOVVpTW2FBeY0OVVYAg+jcZXs9ziDLpEBthQFyEEYlRBrSKMiI5xoykWBPaxJnRJs6MtPhIRJvC/uvW5CkvL0e7du0QExMTalPCAvk6tsT7CUHQ/aRlEPCTe/HixT73L1iwoN7G1EVqaiqKioo0ZUVFRYiNjfXoTQQAk8kEk8nkVh4bGxu2N3bGGE6dr8GBgjIcKKjAkaIKHCmuxIlzVbAJvgQgB8AIGLTT4Q06DjzHgTnaVrchAqgQgYoqIL/KBpy1Aaj22HpilBEdWkUio1UUMlpFITMpClmto5CVFIVII4nIxoTCpMFBvo7hfD8hiLqg+0l4E/DT+ZNPPtFs22w25OXlQa/Xo2PHjg0qFIcOHYovv/xSU7ZhwwYMHTq0wfpsDpyvsuKXkxfwy8lS7DlVir35ZSirsXmsa9LzaJcYiXYJEUiLj0BKrBnJMSa0ijYhIdKAuAgDYswGRJp0MOt1MOg4t5uALBZrbAKqrXZU1NpRVmPDhSorzlVZcbbCguIKCwrKalFQVoP80hqUVttwvsrqsLXUza628RHolByNzsnR6JwSjU7JMeiSEo0Ys6EhLhlBEARBEH4QsFD85Zdf3MrKy8sxefJk3HDDDQG1VVlZiaNHjyrbeXl52LNnDxITE9G+fXvMmzcP+fn5eOONNwAAM2bMwPLlyzF37lxMnToVmzZtwvvvv49169YFehrNFsYYTp6vxs688/jp+Hn8fOICjpVUudUz6nh0TolGjzax6Joag84pMeiYFIW0uAjw/MX99cdxHIx6DkY9j7gIA9rE1X1Mea0NJ89V4+T5ahw/V4XjZ6twrKQKf5RU4kK1DfmlkqD87vcSzXFt4yPQNTUG3VJj0K1NLHq0iUFm62joLvIciPBi69atePbZZ7Fr1y4UFBTUmUEBkHKy5ubmYv/+/WjXrh3mz5+PyZMnN4q9BEEQzYWgxPtiY2OxaNEijBs3DhMnTvT7uJ9//hmXX365si2PJZw0aRJWr16NgoICnDx5UtmfmZmJdevWYc6cOXjxxReRnp6O//znP2GdQ5ExhqPFlfhf3nnszDuPnXnnUFRucavXMSkK/dsnoH/7ePRNj0eXlBgY9U1nFlqs2YBebePQq627qjxfZcXR4kocLa7EkeIKHC2uxO9FFSgqtygCctOhYqW+2cCja2oseqXFolfbOPRuG9fkzpdoXCgnK0EQRMMQ8BJ+3vjhhx8wbtw4XLhwIRjNNRjl5eWIi4tDWVlZkxxTJIoMhworsCPvHHYcO4+dx8/jfJVVU8eg49AnPR6XZCTikowEDGifgIQoY4gsbjhKq604XFiBw0UVOFhQgUOF5ThcWIFqq3sKJqOeR8+0WPRNj0f/9vEY0D4B6QkRNHbGhab+/Q8GjZmTtSVcT4LwBn3/WwYBexRfeuklzTZjDAUFBXjzzTdxzTXXBM2wloIgMhwsKMf/jp3D/45J4WTX8YUmPY+BHRJwSUYihmQlon+7BEQYdSGyuPGIjzRiSFYrDMlqpZSJIsPxc1XYf6Yc+86UYV9+GfaeLkN5rR2/nCzFLydLsXqbVDcpxoSB7RMwKCMBgzMT0aNNLPQ68joS9cvJCrjnZS0vL5fePNcdMNN3q8kSHH9IXZ00QhdB6iNYf0DXhi5dHtF4BCwUX3jhBc02z/NISkrCpEmTMG/evKAZFq5oheE57Mg7j4pau6ZOpFGHQRmJGJIpvfqkx1NY1QHPc8hKikZWUjTG9U0DIP2xcuJcNX49XeoQixdwoKAcJRUWrN9fiPX7CwEAUY7remlWKwzt2Aq928bRWMcWSn1ysgI+8rJaK4L38CWI5oKtMQQ4EWoCFop5eXkNYUfYIoeSt8vC8Ng5lLsIw2iTHoMyEnBpVitcmtUKvdLI8xUIHMcho3UUMlpH4fp+bQEAtTYBv50uw64TF/DTcclTW1Frx3e/lygTZmLMegzNaoURXZIwuksS2iVGhvI0iGaAa15WOY8c/rIVoFxyzZ8GEfth/AdEeQXwVN9QW0E0MJS8LsgwxnCkuBL/O3YO2/+QxOGFam0oOdqkxyUZCRjasRWGZLZCTxKGQcds0GFwZiIGZyZiJjpCEBkOFZZjx7HzimivqLXjmwNF+OaAlJszKykKV3RNxpXdU3BJRgJ9JmFMfXKyAt7zsiIxC6AxWkRLQ18eaguIRiBgoXjDDTd4nCDAcRzMZjM6deqEO++8E127dg2KgU0dUWQ4WlKJHY4xhjvyzuFspXbySaRRh0syEjG0I3kMQ4WO59AzLQ490+IwdXgm7IKIfWfK8cOREmz9/Sx2nZTSDB0rycN/fshDQqQB2d1TcG2fNrisY2sK/YcZlJOVIAjCPwIWinFxcVi7di3i4+MxcOBAAMDu3btRWlqKMWPG4L333sPTTz+NjRs34rLLLgu6waHGLog4WFCBncelVDU78867eQzNBh6DOsjCUBpjaCBh2KTQ63j0axePfu3icd8VnVFWY8MPR85i46EibD5UjAvVNnyw6zQ+2HUacREGXNu7DW7o3xaXZCTQTOomCOVkJQiCaBgCTo/zyCOPoLy8HMuXLwfPS+JHFEU8+OCDiImJwZNPPokZM2Zg//79+OGHHxrE6Ish0On8VruIvfml+N8xKY/hrhMXUGnRjjGMMOgwsEMCLs1KxJCsVuiTHgeTPvxnJYcrdkHET8cv4Kt9BfhqXyFKKpyzXDu0isQtA9Nx66B2SI41h9DK+hGu6Sy2bNmiyckqI+dknTx5Mo4fP44tW7ZojpkzZw4OHDiA9PR0PP744wEn3A7X60kQ/kDf/5ZBwEIxKSkJP/74I7p06aIp//333zFs2DCcPXsWe/fuxYgRI1BaWhpMW4NCXV9suyBib34Ztv0hjTH8+cR51Nq0KQBizHoM6pCAIVmtcElGInq3jaPQZJgiiAz/O3YOn/ySj6/2FqDKkcNRx3O4qnsK/jysA4ZmtWo2Xka6sQcXup5ES4a+/y2DgEPPdrsdhw4dchOKhw4dgiBID1Gz2dxsHpwAkF9agy2Hi7H19xJs++OcW7qaxCgjBjtyGA7OTES31FhKq9JC0PEcLuvUGpd1ao3F1/fEV3sL8e5PJ/HT8QtK6p2uKTGYNiIT1/dLI08yQRAEEVYELBQnTpyIadOm4dFHH8Ull1wCAPjpp5+wZMkS/PnPfwYAfPfdd+jZs2dwLQ0yv50uxfZTZ7DxYDEOFVZo9sWa9RjasRWGdWyNoR1boXNydLMSvkTDEGnU46aB6bhpYDoOF1bgzf8dx8e783G4qAJzP/wNz359GNOGZ2LCkPaIMRtCbS5BEARBXDQBh54FQcBTTz2F5cuXK+klUlJScP/99+Phhx+GTqfDyZMnwfM80tPTG8Toi0F2lbeb/T54k5Q3j+eA/u0TMKpLEkZ2SaJEzITflNXY8O7Ok1i97TgKymoBSH9oTLksE1Mvy0RcZNMSjBQqCi50PYmWDH3/WwYXtdazvHxVc/qCyF/srnM/xJV9MpHdIxmjuySH5VrJRONhtYv47NczWLHlKP4oqQIAxJj0mDYiE1OHZyK2iXgY6cYeXOh6Ei0Z+v63DOolFO12O7Zs2YI//vgDd955J2JiYnDmzBnExsYiOjq6IewMGvIXu+jseSS3Sgi1OUSYIYgM6/cV4qWNR3C4SBrSEB9pwMxRHTFpWAbMhtCOYaQbe3Ch60m0ZOj73zIIWCieOHECV199NU6ePAmLxYLff/8dWVlZePDBB2GxWLBy5cqGsjUo0BebaAxEkeHLfQV4YcPvioexTZwZc67qgpsGpIdsaAN9/4MLXU+iJUPf/5ZBwDldHnzwQQwaNAgXLlzQLHV1ww03YOPGjUE1jiCaKzzP4U990vD17JF49uY+aBsfgYKyWsz98DeMfel7fH+kJNQmEgRBEESdBDzr+fvvv8e2bdtgNGrH9GVkZCA/Pz9ohhFEOKDX8bhlUDuM65uGN7Yfx/JNR3GosAIT/28nruyWjMfGdkdWUtMerkEQBEG0XAL2KIqiqORLVHP69GnExMQExSiCCDfMBh3uGdkR3/3tcky5LAN6nsPGQ8XIWbYVS7886LbaD0EQBEE0BQIWimPGjMGyZcuUbY7jUFlZiYULF+Laa68Npm0EEXYkRBmxcFxPrJ89EqO7JsEmMPxr6zFc+dwWfPHbGVxEEgKCIAiCCDoBT2Y5ffo0cnJywBjDkSNHMGjQIBw5cgStW7fG1q1bkZyc3FC2BgUafEs0JTYeLMKizw/g5PlqAMCIzq3xj/G90KFVVIP0R9//4ELXk2jJ0Pe/ZVDv9DjvvvsufvvtN1RWVmLAgAGYMGGCZnJLU4W+2ERTo9YmYOV3f+DVLX/Aahdh0vN44MrOuGdkFgy64K4hTt//4ELXk2jJ0Pe/ZRCwUKytrYXZbG4oexoc+mITTZXjZ6vw2Nq9+PHoOQBA9zaxePbmPujVNi5ofdD3P7jQ9SRaMvT9bxkE7K5ITk7GpEmTsGHDBoii2BA2EUSLJKN1FP47bQieu6Uv4iMNOFhQjutf+RHPfn0IFrv7BDKCIAiCaGgCFopr1qxBdXU1rr/+erRt2xazZ8/Gzz//3BC2EUSLg+M43DQwHd/mjsLYPm0giAyvbP4D417+Afvyy0JtHkEQBNHCCFgo3nDDDfjggw9QVFSEJUuW4MCBA7j00kvRpUsXLF68uCFsJIgWR+toE165cwBW3jUAraON+L2oEuNf+REvbTwCu0CefIIgCKJxqPdI+ZiYGEyZMgXffPMNfvvtN0RFRWHRokUBt/PKK68gIyMDZrMZQ4YMwc6dO33WX7ZsGbp27YqIiAi0a9cOc+bMQW1tbX1PgyCaNFf3aoOvZ4/E1T1TYRcZnt/wO27913acOFcVatMIgiCIFkC9hWJtbS3ef/99jB8/HgMGDMD58+fxt7/9LaA23nvvPeTm5mLhwoXYvXs3+vbti5ycHBQXF3us//bbb+ORRx7BwoULcfDgQfzf//0f3nvvPTz66KP1PQ2CaPK0ijZhxV0D8MJtfRFj0mP3yVJc++L3+GjXacq7SBAEQTQoAQvFr7/+GpMmTUJKSgpmzpyJlJQUfPPNNzhx4gSeeuqpgNp6/vnnMX36dEyZMgU9evTAypUrERkZiddff91j/W3btuGyyy7DnXfeiYyMDIwZMwZ33HFHnV5IgmjucByHG/qn46vZIzA4IxFVVgEPffArHnx3D8prbaE2jyAIgghT6jVGsaamBm+88QYKCwvxr3/9CyNHjgy4Y6vVil27diE7O9tpDM8jOzsb27dv93jMsGHDsGvXLkUYHjt2DF9++aXPFWEsFgvKy8s1L4JorqQnROKdey7FX8d0gY7n8NmvZzD2pe+x51RpqE0jCIIgwhB9oAcUFRUFZU3ns2fPQhAEpKSkaMpTUlJw6NAhj8fceeedOHv2LIYPHw7GGOx2O2bMmOEz9Lx06dJ6jZ0kiKaKjudw3xWdMbRjazzwzi84db4GN6/Yhkeu6YZpwzPBcVyoTSQIgiDChIA9imqRWFtb26jeui1btmDJkiV49dVXsXv3bnz88cdYt24d/v73v3s9Zt68eSgrK1Nep06dalAbCaKxGNghAV8+OALX9pYmuvxj3UHcveZnlFZbQ21ayKDJcQRBEMElYKFYVVWF++67D8nJyYiKikJCQoLm5S+tW7eGTqdDUVGRpryoqAipqakej3n88ccxceJE3H333ejduzduuOEGLFmyBEuXLvWa/NtkMiE2NlbzIohwIS7CgFfuHIC/j+8Fo47HxkPFGPvSD/jl5IVQm9bo0OQ4giCI4BOwUJw7dy42bdqEFStWwGQy4T//+Q8WLVqEtLQ0vPHGG363YzQaMXDgQGzcuFEpE0URGzduxNChQz0eU11dDZ7XmqzT6QCAZn8SLRaO4zDx0g74+N5h6NAqEvmlNbj1X9ux6se8FvW7aIzJcTTmmSCIlkbAQvHzzz/Hq6++iptuugl6vR4jRozA/PnzsWTJErz11lsBtZWbm4t///vfWLNmDQ4ePIiZM2eiqqoKU6ZMAQD8+c9/xrx585T648aNw4oVK/Duu+8iLy8PGzZswOOPP45x48YpgpEgWiq92sbh8/uH49reqbAJDIs+P4BZb+9GRQuYFd1Yk+OWLl2KuLg45dWuXbvgnghBEEQTI+DJLOfPn0dWVhYAIDY2FufPnwcADB8+HDNnzgyordtuuw0lJSVYsGABCgsL0a9fP6xfv16Z4HLy5EmNB3H+/PngOA7z589Hfn4+kpKSMG7cODz55JOBngZBhCWxZikUvXrbcSz58iC+3FuIgwUVWHHXAHRLDd9hF401OW7evHnIzc1VtsvLy0ksEgQR1gQsFLOyspCXl4f27dujW7dueP/99zF48GB8/vnniI+PD9iA++67D/fdd5/HfVu2bNEaq9dj4cKFWLhwYcD9EERLgeM4TLksE33bxeO+t3Yj72wVxr/yI54c3xtXdW46YlEQBKxevRobN25EcXGx2zjjTZs2NWj/6slxQ4YMwdGjR/Hggw/i73//Ox5//HGPx5hMJphMpga1iyAIoikRsFCcMmUKfv31V4waNQqPPPIIxo0bh+XLl8Nms+H5559vCBsJgqgHA9on4IsHRmD2e3uw9fcSPPTBr7ipd2KozVJ48MEHsXr1aowdOxa9evW6qLQ+Fzs5DgB69+6Nqqoq3HPPPXjsscfcxkMT4YUgCLDZwn9YxsWg0+mg1+sp5VYLJ2ChOGfOHOV9dnY2Dh06hF27dqFTp07o06dPUI0jCOLiSIwyYtXkS/DypiN4ceMRfPDz6VCbpPDuu+/i/fff9zkm0F/Uk+PGjx8PwDk5zlvEgibHtVwqKytx+jQtgekPkZGRaNOmDYxGY6hNIUJEwEKxtrYWZrNZ2e7QoQM6dOgQVKMIgggeOp7D7Owu6NcuHvev+RFNJZOo0WhEp06dgtZebm4uJk2ahEGDBmHw4MFYtmyZ2+S4tm3bYunSpQCkyXHPP/88+vfvr4SeaXJc+CMIAk6fPo3IyEgkJSWRt8wLjDFYrVaUlJQgLy8PnTt3Ji97CyVgoRgfH4/Bgwdj1KhRGD16NIYNG4aIiIiGsI0giCAyumsy3rtnKHouDbUlEg899BBefPFFLF++PCgPa5ocR/iDzWYDYwxJSUn07KqDiIgIGAwGnDhxAlarVeMkIloOHAvQ9/7DDz9g69at2LJlC7Zt2wa73Y5BgwYpwvGqq65qKFuDQnl5OeLi4lBWVkbJt4kWR1P6/t9www3YvHkzEhMT0bNnTxgMBs3+jz/+OESW+U9Tup6Ef9TW1iIvLw+ZmZkkfPzA1/Wi73/LIGCP4vDhwzF8+HA8+uijsNvt+Omnn/Cvf/0LzzzzDJ566ikIgtAQdhIEEWbEx8fjhhtuCLUZBEEQhA8CFooA8Pvvv2PLli3Ky2Kx4E9/+hNGjx4dZPMIgghXVq1aFWoTCIIgiDoIWCi2bdsWNTU1GD16NEaPHo2HH34Yffr0oQHBBEHUi5KSEhw+fBgA0LVrVyQlJYXYIoIgCEIm4ClMSUlJqK6uRmFhIQoLC1FUVISampqGsI0giDCmqqoKU6dORZs2bTBy5EiMHDkSaWlpmDZtGqqrq0NtHkE0GTiO8/l64okncPz4ca/7//e//yltbdmyBQMGDIDJZEKnTp2wevXq0J0Y0SwIWCju2bMHhYWFeOSRR2CxWPDoo4+idevWGDZsGB577LGGsJEgiDAkNzcX3333HT7//HOUlpaitLQUn376Kb777js89NBDoTaPIJoMBQUFymvZsmWIjY3VlP31r39V6n777beafQUFBRg4cCAAIC8vD2PHjsXll1+OPXv2YPbs2bj77rvx9ddfh+rUiGZAvcYoxsfH47rrrsNll12GYcOG4dNPP8U777yDHTt2UGoJgiD84qOPPsKHH36oGdt87bXXIiIiArfeeitWrFgROuOIFgNjDDW20EzCjDDo/Bq2pV5dKC4uDhzHua04dPbsWQBAq1atvK5GtHLlSmRmZuK5554DAHTv3h0//PADXnjhBeTk5NT3NIgwJ2Ch+PHHHyuTWA4cOIDExEQMHz4czz33HEaNGtUQNhIEEYZUV1crOQ7VJCcnU+iZaDRqbAJ6LAiNR+3A4hxEGuvlr6kX27dvR3Z2tqYsJycHs2fPbjQbiOZHwN/QGTNmYOTIkbjnnnswatQo9O7duyHsIggizBk6dCgWLlyIN954Q8nPVlNTg0WLFmHo0KEhto4gmifDhg1zW0GlsrISAFBYWOj2x1lKSgrKy8tRU1NDCcgJjwQsFIuLixvCDoIgWhgvvvgicnJykJ6ejr59+wIAfv31V5jNZhozRTQaEQYdDiwOTdg1whD8pSLfe+89dO/ePejtEi2XxvN5EwRBqOjVqxeOHDmCt956C4cOHQIA3HHHHZgwYQJ5NohGg+O4Rg3/NjTt2rXzuoZ6amoqioqKNGVFRUWIjY2l3xzhlfD5dRAE0eyIjIzE9OnTQ20GQbQIhg4dii+//FJTtmHDBhrqQfiEhCJBEI3GZ599hmuuuQYGgwGfffaZz7rXXXddI1lFEOHDuXPnUFhYqCmLj4+H2WzGjBkzsHz5csydOxdTp07Fpk2b8P7772PdunUhspZoDpBQJAii0Rg/fjwKCwuRnJyM8ePHe63HcRytG08Q9cB1VjMAvPPOO7j99tuRmZmJdevWYc6cOXjxxReRnp6O//znP5Qah/DJRQvF8vJybNq0CV27dqUBtARB+EQURY/vCYLwj8mTJ2Py5Mlu5RkZGWCM1Xn86NGj8csvvzSAZUS4EvDKLLfeeiuWL18OQEplMWjQINx6663o06cPPvroo6AbSBBEePLGG2/AYrG4lVutVrzxxhshsIggCIJwJWChuHXrVowYMQIA8Mknn4AxhtLSUrz00kv4xz/+EXQDCYIIT6ZMmYKysjK38oqKCkyZMiUEFhEEQRCuBCwUy8rKkJiYCABYv349brrpJkRGRmLs2LE4cuRI0A0kCCI8YYx5XL7s9OnTiIuLC4FFBEEQhCsBj1Fs164dtm/fjsTERKxfvx7vvvsuAODChQvK6goEQRDe6N+/PziOA8dxuPLKK6HXO29DgiAgLy8PV199dQgtJAiCIGQCFoqzZ8/GhAkTEB0djQ4dOmD06NEApJB0fZbze+WVV/Dss8+isLAQffv2xcsvv4zBgwd7rV9aWorHHnsMH3/8Mc6fP48OHTpg2bJluPbaawPumyCIxkee7bxnzx7k5OQgOjpa2Wc0GpGRkYGbbropRNYRBEEQagIWivfeey8GDx6MU6dO4aqrrlLWlMzKygp4jOJ7772H3NxcrFy5EkOGDMGyZcuQk5ODw4cPIzk52a2+1WrFVVddheTkZHz44Ydo27YtTpw4gfj4+EBPgyCIELFw4UIA0izN22+/HSaTKcQWEQRBEN4IeIwiAAwaNAg33HCDxhMwduxYXHbZZQG18/zzz2P69OmYMmUKevTogZUrVyIyMhKvv/66x/qvv/46zp8/j7Vr1+Kyyy5DRkYGRo0apawTSxBE86FHjx7Ys2ePW/mOHTvw888/16vNV155BRkZGTCbzRgyZAh27tzps35paSlmzZqFNm3awGQyoUuXLm4rVxAEQbRkAvYoTp061ed+byLPFavVil27dmHevHlKGc/zyM7Oxvbt2z0e89lnn2Ho0KGYNWsWPv30UyQlJeHOO+/Eww8/DJ3O8+LqFotFk4KjvLzcL/sIgmhYZs2ahblz52LIkCGa8vz8fDz99NPYsWNHQO1RhIIgCCL4BCwUL1y4oNm22WzYt28fSktLccUVV/jdztmzZyEIAlJSUjTlKSkpOHTokMdjjh07hk2bNmHChAn48ssvcfToUdx7772w2WxKOMuVpUuXYtGiRX7bRRBE43DgwAEMGDDArbx///44cOBAwO2pIxQAsHLlSqxbtw6vv/46HnnkEbf6coRi27ZtMBgMAKRwOEEQBOEkYKH4ySefuJWJooiZM2eiY8eOQTHKG6IoIjk5Ga+99hp0Oh0GDhyI/Px8PPvss16F4rx585Cbm6tsl5eXo127dg1qJ0EQdWMymVBUVISsrCxNeUFBgWYmtD9QhIIgCKJhqNcYRbdGeB65ubl44YUX/D6mdevW0Ol0KCoq0pQXFRUhNTXV4zFt2rRBly5dNDfx7t27o7CwEFar1eMxJpMJsbGxmhdBEKFnzJgxmDdvnibpdmlpKR599FFcddVVAbXlK0JRWFjo8Zhjx47hww8/hCAI+PLLL/H444/jueee8zkpb+nSpYiLi1Ne9Ecn0Rj8f3t3HldVtf+P/3VADoMyCQ6ITIoj4ASCU6ldisxEG26IFjgPSQ6oN00Dp0RNxSFvJGbWzQFNs26Ut+Qj5oByVfCiJk4gWqCACgKKAuv3Bz/21yMHPBsPHDi8no/HeTw8a0/vvd2PxfusvfZaFcNJVfVZtGgR0tPTq1x+4sQJAOU/wkaNGoWOHTvCwMAAM2fO1O2JUYOglUQRAK5evYqSkhKN11cqlfD09ERcXJxUVlZWhri4OPTt21ftNv3798eVK1dU5oi9dOkS7OzsoFQqax48EdW51atX48aNG3BycsLgwYMxePBguLi4ICsrC2vWrKn14z/5hMLT0xMBAQFYsGABoqKiqtymIrGt+Ny4caPW4yTKzMyUPuvWrYOFhYVK2Zw5c6R1Dx48qLIsMzMTnp6eAMpbxFu0aIGFCxfyJVDSmOxHz08+xgXKZ1fIzMxEbGwsgoODZe8rODgYXl5e8Pb2xrp161BYWCj1MQoKCoK9vT0iIiIAAFOnTsVnn32GGTNm4IMPPsDly5exfPlyTJ8+Xe5pEJGO2dvb43//+x+2b9+Os2fPwtTUFGPHjkVgYKDUZ1BTNX1CYWRkVOUTCnU/Po2NjTmcj74RAnhcpJtjG5kBamYnetqT97ClpSUUCkWl+zonJwcAYGNjU+U97+zsjPXr1wPQ/MVTItmJYlJSksp3AwMDtGjRAmvWrHnmG9FPCwgIQHZ2NsLCwpCVlYUePXrgwIED0uOjjIwMaZxGoHxWmP/85z+YNWsWunXrBnt7e8yYMQMffvih3NMgonqgadOmmDRp0nPv58knFBUDelc8oQgJCVG7Tf/+/bFjxw6UlZVJ9QyfUDRCj4uA5W10c+yP/gKUTXVzbCINyU4UDx06pNUAQkJCqqzI4+PjK5X17dtX6m9BRA3fhQsXkJGRUamfsb+/v6z98AkFEdCvXz+VBhYAKCgo0FE0pA9kJ4oVbt++jdTUVABAp06d1I5TRkRUlWvXruGNN95ASkoKFAoFhBAAyjvuA+XzPsvBJxRUI0Zm5S17ujq2lsXExKBLly5a3y81XrITxfz8fEybNg07d+6UXioxNDREQEAANm3aBEtLS60HSUT6Z8aMGXBxcUFcXBxcXFyQmJiI3NxczJ49G6tXr67RPvmEgmRTKPTq8a+DgwNcXV11HQbpEdlvPU+cOBEnT55EbGws7t27h3v37uGnn37CqVOnMHny5NqIkYj0UEJCApYsWQJbW1sYGBjAwMAAAwYMQEREBB//EhHVE7JbFH/66Sf85z//wYABA6QyPz8/REdH49VXX9VqcESkv0pLS2Fubg6g/K3lv/76C506dYKTk5PUrYWI5MnNza00dqiVlRVMTEwAQJpfvaCgANnZ2UhOToZSqUTXrl3rOlRqIGQnijY2NmofL1taWsLa2lorQRGR/nN3d8fZs2fh4uICHx8frFq1CkqlEps3b640WwsRacbX17dS2c6dOzFy5EgA5VNkVjh9+jR27NgBJycnpKen11WI1MDIfvS8cOFChIaGqvxiycrKwty5c/Hxxx9rNTgi0l8LFy6U+jkvWbIEaWlpeOGFF/Dzzz9jw4YNOo6OqH4aM2YM7t27V6nc2dkZQgi1n4okEYDa5UwSqToatSj27NlTehMRAC5fvgxHR0c4OjoCKH+b0NjYGNnZ2eynSEQa8fPzk/7t6uqKixcv4s6dO7C2tlapb4iISHc0ShQrBrAlItKGx48fw9TUFMnJyXB3d5fKmzdvrsOoiIjoaRoliuHh4bUdBxE1IkZGRnB0dJQ9ViIREdUt2X0UiYi0YcGCBfjoo49w584dXYdCRERVqPHMLEREz+Ozzz7DlStX0KZNGzg5OaFpU9VBj8+cOaOjyIiIqAITRSLSCfZ9JiKq/5goElGd2bBhAyZNmgQTExOMHTsWbdu2VZl/mYiI6pfnqqErxmAiItJEaGgo8vPzAQAuLi7IycnRcURERFSdGiWK33zzDTw8PGBqagpTU1N069YN//rXv7QdGxHpmTZt2mDv3r24fv06hBC4efMmMjIy1H6IiEj3ZD96Xrt2LT7++GOEhISgf//+AICjR49iypQpyMnJwaxZs7QeJBHph4ULF+KDDz5ASEgIFAoFevfuXWkdIQQUCgWHziEiqgdkJ4obN27E559/jqCgIKnM398fbm5uWLRoERNFIqrSpEmTEBgYiOvXr6Nbt244ePAgbGxsdB0WUb32rJmKwsPDMWbMGLi4uKhdnpCQgD59+mDfvn34/PPPkZycjOLiYunv9pOzJBE9TXaimJmZiX79+lUq79evHzIzM7USFBHpL3Nzc7i7u+Orr75C//79YWxsrOuQiOq1J/+2xsTEICwsDKmpqVJZs2bNpP6+Bw8ehJubm8r2FT/Gfv/9d7z88stYvnw5rKys8NVXX2HYsGE4efIkevbsWQdnQg2R7ETR1dUVu3fvxkcffaRSHhMTgw4dOmgtMCLSb8HBwboOgQhCCDwoeaCTY5s2MdVoXvPWrVtL/7a0tIRCoVApAyAlijY2NpWWVVi3bp3K9+XLl+OHH37Av//9byaKVCXZieLixYsREBCA33//XeqjeOzYMcTFxWH37t1aD5CIiKi2PCh5AJ8dPjo59slRJ2FmZKaTYwNAWVkZ7t+/zznWqVqyE8W33noLJ0+eRGRkJPbv3w8A6NKlCxITE/mLhIiISIf69etXaWzSgoICteuuXr0aBQUFeOedd+oiNGqgajTgtqenJ7799lttx0JERFSnTJuY4uSokzo7trbFxMSgS5cuz1xvx44dWLx4MX744Qe0bNlS63GQ/pA9jqKhoSFu375dqTw3NxeGhoZaCYqIGo9Hjx4hNTUVJSUlz72vTZs2wdnZGSYmJvDx8UFiYqJG2+3atQsKhYLTCjZCCoUCZkZmOvlo0j9RLgcHB7i6uqp8nrZr1y5MmDABu3fvhq+vr9ZjIP0iO1GsaiaW4uJiKJXK5w6IiBqHoqIijB8/HmZmZnBzc5MG2f7ggw+wYsUK2fuLiYlBaGgowsPDcebMGXTv3h1+fn5qf9g+KT09HXPmzMELL7xQo/Mgakh27tyJsWPHYufOnRg6dKiuw6EGQONEccOGDdiwYQMUCgW2bNkifd+wYQMiIyMxbdo0dO7cuUZBsBWAqPGZP38+zp49i/j4eJiYmEjlvr6+iImJkb2/tWvXYuLEiRg7diy6du2KqKgomJmZYevWrVVuU1paitGjR2Px4sVo165djc6DqD7Jzc1FVlaWyufhw4cAyh83BwUFYc2aNfDx8ZGW5+Xl6Thqqs807qMYGRkJoLxFMSoqSuUxs1KphLOzM6KiomQHUNEKEBUVBR8fH6xbtw5+fn5ITU2ttt8EWwGIGrb9+/cjJiYGffr0UXkE5+bmhqtXr8ra16NHj3D69GnMnz9fKjMwMICvry8SEhKq3G7JkiVo2bIlxo8fjyNHjjzzOMXFxSguLpa+V8xbTVRfqHuUvHPnTowcORKbN29GSUkJpk2bhmnTpknLg4ODsW3btjqMkhoSjRPFtLQ0AMDgwYOxb98+WFtbayWAJ1sBACAqKgqxsbHYunUr5s2bp3abJ1sBjhw5gnv37mklFiKqO9nZ2Wp/DBYWFsruu5WTk4PS0lK0atVKpbxVq1a4ePGi2m2OHj2KL7/8EsnJyRofJyIiAosXL5YVG5E2jRkzBmPGjKlU7uzsXGXXsArx8fG1ExTpNdl9FA8dOqS1JLGiFeDJX0ByWwGepbi4GPn5+SofItI9Ly8vxMbGSt8rksMtW7agb9++tXrs+/fv47333kN0dDRsbW013m7+/PnIy8uTPjdu3KjFKImIdK9Gw+NoS120ArAFgKh+Wr58OYYMGYILFy6gpKQE69evx4ULF3D8+HEcPnxY1r5sbW1haGiIW7duqZTfunVL7SwVV69eRXp6OoYNGyaVlZWVAQCaNGmC1NRUtG/fvtJ2xsbGnHKQiBoV2S2KulSTVgC2ABDVTwMGDEBycjJKSkrg4eGBX3/9FS1btkRCQgI8PT1l7UupVMLT0xNxcXFSWVlZGeLi4tS2Tnbu3BkpKSlITk6WPv7+/hg8eDCSk5Ph4ODw3OdHRKQPdNqiWBetAGwBIKq/2rdvj+joaK3sKzQ0FMHBwfDy8oK3tzfWrVuHwsJCqf9zUFAQ7O3tERERARMTE7i7u6tsb2VlBQCVyomIGjOdJopPtgJUDHFT0QoQEhJSaf2KVoAnLVy4EPfv38f69evZCkBUz8npI2xhYSFr3wEBAcjOzkZYWBiysrLQo0cPHDhwQOrakpGRUWlqMyIiql6NEsV79+4hMTERt2/fllr0KgQFBcnaF1sBiBoPKysrjd9oLi0tlb3/kJAQtT8ygWe/8cnhQYiIKpOdKP773//G6NGjUVBQAAsLC5VKX6FQyE4U2QpA1HgcOnRI+nd6ejrmzZuHMWPGSP0IExIS8PXXXyMiIkJXIRIR0RMU4lkDLz2lY8eOeO2117B8+XKYmZnVVly1Jj8/H5aWlsjLy5P9aIuooatP9//f/vY3TJgwAYGBgSrlO3bswObNmxvEmG/16XqSZh4+fIi0tDS4uLiozAhE6lV3vXj/Nw6ym+r+/PNPTJ8+vUEmiURUfyQkJMDLy6tSuZeXl8bTeBIRUe2SnSj6+fnh1KlTtRELETUiDg4Oat943rJlC19MIyKqJ2T3URw6dCjmzp2LCxcuwMPDA0ZGRirL/f39tRYcEemvyMhIvPXWW/jll1/g4+MDAEhMTMTly5exd+9eHUdHVH886wWw8PBwjBkzBi4uLmqXJyQkoE+fPjh69Cg+/PBDXLx4EUVFRXBycsLkyZMxa9as2gib9ITsRHHixIkAyqfRe5pCoajRm4pE1Pi89tpruHz5Mv75z39KMzENGzYMU6ZMYYsi0RMyMzOlf8fExCAsLAypqalSWbNmzZCTkwMAOHjwINzc3FS2t7GxAQA0bdoUISEh6NatG5o2bYqjR49i8uTJaNq0KSZNmlQHZ0INkexE8enhcIiIaqpt27ZYvny5rsOgRkwIAfHggU6OrTA11Wi4qCcnoLC0tIRCoag0KUVFomhjY6N2wgoA6NmzJ3r27Cl9d3Z2xr59+3DkyBEmilQlnQ64TUSN27179/Dll1/ijz/+AAC4ublh3LhxsLS01HFk1FiIBw+Q2kvelJHa0unMaSh0+GJoUlISjh8/jmXLluksBqr/ajRA4eHDhzFs2DC4urrC1dUV/v7+OHLkiLZjIyI9durUKbRv3x6RkZG4c+cO7ty5g7Vr16J9+/Y4c+aMrsMjapD69euHZs2aqXye1rZtWxgbG8PLywvTpk3DhAkTdBApNRSyWxS//fZbjB07Fm+++SamT58OADh27Bj+9re/Ydu2bRg1apTWgyQi/TNr1iz4+/sjOjoaTZqUV0UlJSWYMGECZs6cid9//13HEVJjoDA1Raczp3V2bG2LiYlBly5dql3nyJEjKCgowIkTJzBv3jy4urpWGs+UqILsRPGTTz7BqlWrVN6Smj59OtauXYulS5cyUSQijZw6dUolSQSAJk2a4B//+Ifa8RWJaoNCodDp419tc3BwgKura7XrVLwd7eHhgVu3bmHRokVMFKlKsh89X7t2DcOGDatU7u/vj7S0NK0ERUT6z8LCAhkZGZXKb9y4AXNzcx1ERNT4lJWVobi4WNdhUD0mu0XRwcEBcXFxlX6xHDx4kENaEJHGAgICMH78eKxevRr9+vUDUN6NZe7cuWzdIKqh3NxcZGVlqZRZWVnBxMQEmzZtgqOjIzp37gwA+P3337F69WqpGxmROrITxdmzZ2P69OlITk5Wqdy3bduG9evXaz1AItJPq1evhkKhQFBQEEpKSgAARkZGmDp1KlasWKHj6IgaJl9f30plO3fuxMiRI1FWVob58+cjLS0NTZo0Qfv27bFy5UpMnjxZB5FSQ6EQQgi5G33//fdYs2aNNKRFly5dMHfuXAwfPlzrAWobJzGnxqw+3v9FRUW4evUqAKB9+/YNah75+ng9qXoPHz5EWloaXFxcYGJioutw6r3qrhfv/8ahRuMovvHGG3jjjTe0HQsRNUJmZmbw8PDQdRhERKQGB9wmojo1btw4jdbbunVrLUdCRETPolGi2Lx5c1y6dAm2trawtraudsqhO3fuaC04ItI/27Ztg5OTE3r27Ika9HwhIqI6pFGiGBkZKQ1XERkZqdHclERE6kydOhU7d+5EWloaxo4di3fffRfNmzfXdVhERKRGjV5macjY+ZYas/py/xcXF2Pfvn3YunUrjh8/jqFDh2L8+PF45ZVXGtQP0fpyPUlzFS9nODs7w7QWZkbRN0VFRbh+/TpfZmnEZPdRPHPmDIyMjKTO5z/88AO++uordO3aFYsWLYJSqdR6kESkX4yNjREYGIjAwEBcv34d27Ztw/vvv4+SkhKcP39e7fy0RNpgZGQEhUKB7OxstGjRokH9MKlLQgg8evQI2dnZMDAw4N/2Rkx2ojh58mTMmzcPHh4euHbtGgICAvDmm29iz549KCoqwrp162ohTCLSVwYGBlAoFBBCoLS09Ln2tWnTJnz66afIyspC9+7dsXHjRnh7e6tdNzo6Gt988w3OnTsHAPD09MTy5curXJ/0g6GhIdq2bYubN28iPT1d1+HUe2ZmZnB0dISBgeyJ3EhPyE4UL126hB49egAA9uzZg4EDB2LHjh04duwYRo4cyUSRiJ7pyUfPR48exeuvv47PPvsMr776ao3/IMXExCA0NBRRUVHw8fHBunXr4Ofnh9TUVLRs2bLS+vHx8QgMDES/fv1gYmKClStX4pVXXsH58+dhb2//vKdI9VizZs3QoUMHPH78WNeh1GuGhoZo0qQJW10bOdmJohACZWVlAMqn7Xv99dcBlE/tl5OTo93oiEjvvP/++9i1axccHBwwbtw47Ny5E7a2ts+937Vr12LixIkYO3YsACAqKgqxsbHYunUr5s2bV2n97du3q3zfsmUL9u7di7i4OAQFBT13PFS/GRoawtDQUNdhENV7shNFLy8vLFu2DL6+vjh8+DA+//xzAEBaWhpatWql9QCJSL9ERUXB0dER7dq1w+HDh3H48GG16+3bt0/jfT569AinT5/G/PnzpTIDAwP4+voiISFBo30UFRXh8ePH1b6BXVxcjOLiYul7fn6+xjESETVEsp/xrFu3DmfOnEFISAgWLFgAV1dXAMB3330nzf0s16ZNm+Ds7AwTExP4+PggMTGxynWjo6PxwgsvwNraGtbW1vD19a12fSKqX4KCgjB48GBYWVnB0tKyyo8cOTk5KC0trfRjtVWrVsjKytJoHx9++CHatGmjdq7cChERESoxOjg4yIqTiKihkd2i2K1bN6SkpFQq//TTT2vUjM9+RUSNy7Zt23QdQiUrVqzArl27EB8fX+38v/Pnz0doaKj0PT8/n8kiEek12S2KN27cwM2bN6XviYmJmDlzJr755hsYGRnJDuDJfkVdu3ZFVFQUzMzMqpy+a/v27Xj//ffRo0cPdO7cGVu2bEFZWRni4uJkH5uI9IOtrS0MDQ1x69YtlfJbt26hdevW1W67evVqrFixAr/++iu6detW7brGxsawsLBQ+RAR6TPZieKoUaNw6NAhAEBWVhZefvllJCYmYsGCBViyZImsfVX0K3ryUY+2+xUVFxcjPz9f5UNE+kWpVMLT01PlB2PFD8i+fftWud2qVauwdOlSHDhwAF5eXnURKhFRgyI7UTx37pw0ztju3bvh7u6O48ePY/v27bIfKdVFvyL2KSJqHEJDQxEdHY2vv/4af/zxB6ZOnYrCwkLpLeigoCCVl11WrlyJjz/+GFu3boWzszOysrKQlZWFgoICXZ0CEVG9I7uP4uPHj2FsbAygfHgcf39/AEDnzp2RmZmp3eieQZN+RexTRNQ4BAQEIDs7G2FhYcjKykKPHj1w4MAB6YdoRkaGyhiNn3/+OR49eoS3335bZT/h4eFYtGhRXYZORFRvyU4U3dzcEBUVhaFDh+K3337D0qVLAQB//fUXbGxsZO1LG/2KDh48WG2/ImNjYymxJSL9FhISgpCQELXL4uPjVb5zVg4iomeT/eh55cqV+OKLLzBo0CAEBgaie/fuAIAff/xR9tRX7FdEREREVH/JblEcNGgQcnJykJ+fD2tra6l80qRJMDMzkx1AaGgogoOD4eXlBW9vb6xbt65SvyJ7e3tEREQAKE9Uw8LCsGPHDqlfEVA+JVOzZs1kH5+IiIiI1JOdKALlUx89mSQCgLOzc40CYL8iIiIiovpJIYQQz1qpV69eiIuLg7W1NXr27FntBOFnzpzRaoDalp+fD0tLS+Tl5XEMNGp0eP9rF68nNWa8/xsHjVoUhw8fLr0QMmLEiNqMh4iIiIjqCY1aFPUJfwFRY8b7X7t4Pakx4/3fONSoj2KFgoIClJWVqZTxZiEiIiLSD7KHx0lLS8PQoUPRtGlTWFpawtraGtbW1rCysqr0ggsRERERNVyyWxTfffddCCGwdetWtGrVqtoXW4iIiIio4ZKdKJ49exanT59Gp06daiMeIiIiIqonZD967t27N27cuFEbsRARERFRPSK7RXHLli2YMmUK/vzzT7i7u8PIyEhleXXzLhMRERFRwyE7UczOzsbVq1elKfYAQKFQQAgBhUKB0tJSrQZIRERERLohO1EcN24cevbsiZ07d/JlFiIiIiI9JjtRvH79On788Ue4urrWRjxEREREVE/IfpnlpZdewtmzZ2sjFiIiIiKqR2S3KA4bNgyzZs1CSkoKPDw8Kr3M4u/vr7XgiIiIiEh3ZCeKU6ZMAQAsWbKk0jK+zEJERESkP2Qnik/P7UxERERE+kl2H0V17t27p43dEBEREVE9IjtRXLlyJWJiYqTvf//739G8eXPY29vzJRci0qlNmzbB2dkZJiYm8PHxQWJiYrXr79mzB507d4aJiQk8PDzw888/11GkREQNg+xEMSoqCg4ODgCA3377DQcPHsSBAwcwZMgQzJ07V+sBEhFpIiYmBqGhoQgPD8eZM2fQvXt3+Pn54fbt22rXP378OAIDAzF+/HgkJSVhxIgRGDFiBM6dO1fHkRMR1V8KIYSQs4GpqSkuXboEBwcHzJgxAw8fPsQXX3yBS5cuwcfHB3fv3q2tWLUiPz8flpaWyMvLg4WFha7DIapT+nz/+/j4oHfv3vjss88AlPendnBwwAcffIB58+ZVWj8gIACFhYX46aefpLI+ffqgR48eiIqK0uiYFdfzeMoRNDNvpp0TIVka+qQPCjTc+AvuF6CPe3+9rE/o/5H9Mou1tTVu3LgBBwcHHDhwAMuWLQMACCH4xjMR6cSjR49w+vRpzJ8/XyozMDCAr68vEhIS1G6TkJCA0NBQlTI/Pz/s37+/yuMUFxejuLhY+p6fnw8AaPLGODQxNHyOMyBqeAz4N79RkP3o+c0338SoUaPw8ssvIzc3F0OGDAEAJCUlcbYWItKJnJwclJaWolWrVirlrVq1QlZWltptsrKyZK0PABEREbC0tJQ+Fd1wiIj0lewWxcjISDg7O+PGjRtYtWoVmjUrf9ySmZmJ999/X+sBEhHVF/Pnz1dphczPz4eDgwPs4/6Pj96o0cnPzwec+GNJ38lOFI2MjDBnzpxK5bNmzdJKQEREctna2sLQ0BC3bt1SKb916xZat26tdpvWrVvLWh8AjI2NYWxsXKm8mZUFmjFRpEamTCsD7FF9JztRBIDLly/j0KFDuH37dqUBuMPCwrQSGBGRppRKJTw9PREXF4cRI0YAKH+ZJS4uDiEhIWq36du3L+Li4jBz5kyp7LfffkPfvn3rIGIiooZB9u+B6OhodOnSBWFhYfjuu+/w/fffS5/qOoFXh2OfEdHzCg0NRXR0NL7++mv88ccfmDp1KgoLCzF27FgAQFBQkMrLLjNmzMCBAwewZs0aXLx4EYsWLcKpU6eqTCyJiBolIZOjo6NYsWKF3M2qtGvXLqFUKsXWrVvF+fPnxcSJE4WVlZW4deuW2vWPHTsmDA0NxapVq8SFCxfEwoULhZGRkUhJSdHoeHl5eQKAyMvL09o5EDUU+n7/b9y4UTg6OgqlUim8vb3FiRMnpGUDBw4UwcHBKuvv3r1bdOzYUSiVSuHm5iZiY2NlHU/frydRdXj/Nw6yx1G0sLBAcnIy2rVrp5VEta7HPtPnceSInoX3v3bxelJjxvu/cZDdR/Hvf/87fv31V0yZMuW5D14XY589Pe5ZXl4egP83/hlRY1Jx38v8fUhVqLiOrE+oMWJ90jjIThRdXV3x8ccf48SJE/Dw8ICRkZHK8unTp2u8r+rGPrt48aLabeSOfRYREYHFixdXKuf4Z9SY5ebmwtLSUtdhNHi5ubkAWJ9Q48b6RL/JThQ3b96MZs2a4fDhwzh8+LDKMoVCIStRrAtPj3t27949ODk5ISMjgze2DlSMO3fjxg0+qtCBvLw8ODo6onnz5roORS9UXEfWJ7rB+kS3WJ80DrITxbS0NK0dvC7GPqtq3DNLS0tWLDpkYWHB669DBgYcAE0bKq4j6xPdYn2iW6xP9JtO/3efHPusQsXYZ1WNZVYx9tmTOPYZERERkfbVaMDtmzdv4scff0RGRgYePXqksmzt2rWy9hUaGorg4GB4eXnB29sb69atqzT2mb29PSIiIgCUj302cOBArFmzBkOHDsWuXbtw6tQpbN68uSanQkRERERVkJ0oxsXFwd/fH+3atcPFixfh7u6O9PR0CCHQq1cv2QEEBAQgOzsbYWFhyMrKQo8ePXDgwAHphZWMjAyVZu1+/fphx44dWLhwIT766CN06NAB+/fvh7u7u0bHMzY2Rnh4uNrH0VT7eP11i9dfu3g9dYvXX7d4/RsH2eMoent7Y8iQIVi8eDHMzc1x9uxZtGzZEqNHj8arr76KqVOn1lasRERERFSHZCeK5ubmSE5ORvv27WFtbY2jR4/Czc0NZ8+exfDhw5Genl5LoRIRERFRXZL9MkvTpk2lfol2dna4evWqtCwnJ0d7kRERERGRTsnuo9inTx8cPXoUXbp0wWuvvYbZs2cjJSUF+/btQ58+fWojRiIiIiLSAdmPnq9du4aCggJ069YNhYWFmD17No4fP44OHTpg7dq1cHJyqq1YiYiIiKgOyXr0XFpaips3b8LR0RFA+WPoqKgo/O9//8PevXvrPEn8/fffMWzYMLRp0wYKhaLK+Z4rxMfHQ6FQVPo8Pf3fpk2b4OzsDBMTE/j4+CAxMbEWz6Lhqo3rv2jRokrLO3fuXMtn0jDJvf5A+dznCxYsgJOTE4yNjeHs7IytW7eqrLNnzx507twZJiYm8PDwwM8//1xLZ1C/sD7RLdYnusX6hKoiK1E0NDTEK6+8grt379ZWPLIUFhaie/fu2LRpk6ztUlNTkZmZKX1atmwpLYuJiUFoaCjCw8Nx5swZdO/eHX5+frh9+7a2w2/wauP6A4Cbm5vK8qNHj2ozbL1Rk+v/zjvvIC4uDl9++SVSU1Oxc+dOdOrUSVp+/PhxBAYGYvz48UhKSsKIESMwYsQInDt3rjZOoV5hfaJbrE90i/UJVUnI5OnpKQ4ePCh3s1oHQHz//ffVrnPo0CEBQNy9e7fKdby9vcW0adOk76WlpaJNmzYiIiJCS5HqJ21d//DwcNG9e3etxtYYaHL9f/nlF2FpaSlyc3OrXOedd94RQ4cOVSnz8fERkydP1kaYDQbrE91ifaJbrE/oSbLfel62bBnmzJmDn376CZmZmcjPz1f5NAQ9evSAnZ0dXn75ZRw7dkwqf/ToEU6fPg1fX1+pzMDAAL6+vkhISNBFqHqpqutf4fLly2jTpg3atWuH0aNHIyMjQwdR6p8ff/wRXl5eWLVqFezt7dGxY0fMmTMHDx48kNZJSEhQuf8BwM/Pj/d/NVif6BbrE91gfdJ4aPzW85IlSzB79my89tprAAB/f38oFAppuRACCoUCpaWl2o9SS+zs7BAVFQUvLy8UFxdjy5YtGDRoEE6ePIlevXohJycHpaWl0qwwFVq1aoWLFy/qKGr98azrDwA+Pj7Ytm0bOnXqhMzMTCxevBgvvPACzp07B3Nzcx2fQcN27do1HD16FCYmJvj++++Rk5OD999/H7m5ufjqq68AAFlZWWrv/6f73RHrE11jfaJbrE8aD40TxcWLF2PKlCk4dOhQbcZTqzp16qTSf6Jfv364evUqIiMj8a9//UuHkTUOmlz/IUOGSMu7desGHx8fODk5Yffu3Rg/fnydx6xPysrKoFAosH37dlhaWgIon5v97bffxj//+U+YmprqOMKGhfWJbrE+0S3WJ42Hxomi+P9H0Rk4cGCtBaML3t7eUudmW1tbGBoa4tatWyrr3Lp1C61bt9ZFeHrvyeuvjpWVFTp27IgrV67UYVT6yc7ODvb29lKlDgBdunSBEAI3b95Ehw4d0Lp1a97/z4H1iW6xPqk7rE8aD1l9FJ981KwvkpOTYWdnBwBQKpXw9PREXFyctLysrAxxcXHo27evrkLUa09ef3UKCgpw9erVatchzfTv3x9//fUXCgoKpLJLly7BwMAAbdu2BQD07dtX5f4HgN9++433v4ZYn+gW65O6w/qkEdH0rReFQiGsrKyEtbV1tZ+6dP/+fZGUlCSSkpIEALF27VqRlJQkrl+/LoQQYt68eeK9996T1o+MjBT79+8Xly9fFikpKWLGjBnCwMBA5S3uXbt2CWNjY7Ft2zZx4cIFMWnSJGFlZSWysrLq9Nwagtq4/rNnzxbx8fEiLS1NHDt2TPj6+gpbW1tx+/btOj+/+k7u9b9//75o27atePvtt8X58+fF4cOHRYcOHcSECROkdY4dOyaaNGkiVq9eLf744w8RHh4ujIyMREpKSp2fX11jfaJbrE90i/UJVUVWorh+/Xqxbdu2aj91qWJ4hKc/wcHBQgghgoODxcCBA6X1V65cKdq3by9MTExE8+bNxaBBg8T//d//Vdrvxo0bhaOjo1AqlcLb21ucOHGijs6oYamN6x8QECDs7OyEUqkU9vb2IiAgQFy5cqUOz6rhkHv9hRDijz/+EL6+vsLU1FS0bdtWhIaGiqKiIpV1du/eLTp27CiUSqVwc3MTsbGxdXRGusX6RLdYn+gW6xOqisZT+BkYGCArK6vSYKZEREREpJ807qOoj/0TiYiIiKhqGieKGjY8EhEREZGe0PjRMxERERE1LrKn8CMiIiKixoGJIhERERGpxUSRiIiIiNRiokhEREREajFRJCIiIiK1mCgSERERkVpMFImIiIhILSaKVK1BgwZh5syZug5DUtN4cnNz0bJlS6Snp2s9pqeNHDkSa9asqfXjEDU0rE/kY31CusZEsR6IioqCubk5SkpKpLKCggIYGRlh0KBBKuvGx8dDoVDg6tWrdRxl3dL2H5RPPvkEw4cPh7Ozs9b2WZWFCxfik08+QV5eXq0fi+hprE8qY31CVHNMFOuBwYMHo6CgAKdOnZLKjhw5gtatW+PkyZN4+PChVH7o0CE4Ojqiffv2ugi1QSoqKsKXX36J8ePH18nx3N3d0b59e3z77bd1cjyiJ7E+qV2sT6ixYaJYD3Tq1Al2dnaIj4+XyuLj4zF8+HC4uLjgxIkTKuWDBw8GABw4cAADBgyAlZUVbGxs8Prrr6u0DGzevBlt2rRBWVmZyvGGDx+OcePGAQDKysoQEREBFxcXmJqaonv37vjuu++qjFWT9QcNGoTp06fjH//4B5o3b47WrVtj0aJFKuvcv38fo0ePRtOmTWFnZ4fIyEjpV/+YMWNw+PBhrF+/HgqFAgqFQuURT1lZWbX7ftrPP/8MY2Nj9OnTR6X86NGjMDIyUvnDmZ6eDoVCgevXr2PQoEH44IMPMHPmTFhbW6NVq1aIjo5GYWEhxo4dC3Nzc7i6uuKXX36pdMxhw4Zh165d1cZFVBtYn7A+IdIqQfX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       "
\n" ], "text/plain": [ "\n", "\u001b[?25h" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sim = make_sim(\"TM\", **design_params['TM3'])\n", "\n", "job = web.Job(simulation=sim, task_name=\"evanescent_coupler_tm3\")\n", "sim_data = job.run(path=\"data/simulation_data.hdf5\")" ] }, { "cell_type": "code", "execution_count": 25, "id": "e53c7226", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T02:41:39.650478Z", "iopub.status.busy": "2023-02-03T02:41:39.650364Z", "iopub.status.idle": "2023-02-03T02:41:41.303393Z", "shell.execute_reply": "2023-02-03T02:41:41.303006Z" } }, "outputs": [ { "data": { "image/png": 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       "\u001b[?25l"
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     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "21c2dc33ba2a4180b33e1a5214a7ccb6",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
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     },
     "metadata": {},
     "output_type": "display_data"
    },
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     "data": {
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       "
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       "\u001b[?25l"
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     "metadata": {},
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    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "c3964f12481a4c69a5354b96f8136773",
       "version_major": 2,
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      },
      "text/plain": [
       "Output()"
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     "metadata": {},
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     "data": {
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       "
\n" ], "text/plain": [ "\n", "\u001b[?25h" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sim = make_sim(\"TM\", **design_params['TM1'])\n", "\n", "job = web.Job(simulation=sim, task_name=\"evanescent_coupler_tm1\")\n", "sim_data = job.run(path=\"data/simulation_data.hdf5\")" ] }, { "cell_type": "code", "execution_count": 29, "id": "366b6f4c", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T02:43:22.980330Z", "iopub.status.busy": "2023-02-03T02:43:22.980219Z", "iopub.status.idle": "2023-02-03T02:43:24.462131Z", "shell.execute_reply": "2023-02-03T02:43:24.461722Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "postprocess(sim_data, \"TM\")" ] }, { "cell_type": "markdown", "id": "90e5a7be", "metadata": {}, "source": [ "## 8-channel (De)multiplexer Simulation" ] }, { "cell_type": "markdown", "id": "e877ea9d", "metadata": {}, "source": [ "Once we confirm the efficiency of the six couplers individually, we are ready to put them together to construct the entire (de)multiplexer device. This device is made by connecting the couplers via linear tapers. The linear tapers have a small angle of 1.8 degree to ensure good transmission. The overall device has a length of about 200 $\\mu m$.\n", "\n", "The process of creating the structure is rather long and tedious. Therefore, we will skip that in this notebook and only import the constructed GDSII file. There are eight input ports labeled as I1, I2, ..., I8. The top four ports are for TE0 excitation. The bottom four ports are for TM0 excitation.\n", "\n", "" ] }, { "cell_type": "code", "execution_count": 30, "id": "6d85f620", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T02:43:24.464568Z", "iopub.status.busy": "2023-02-03T02:43:24.464282Z", "iopub.status.idle": "2023-02-03T02:43:24.467965Z", "shell.execute_reply": "2023-02-03T02:43:24.467578Z" } }, "outputs": [], "source": [ "gds_path = \"misc/8ChannelDemultiplexer.gds\" # path of the gds file\n", "\n", "lib = gdstk.read_gds(infile=gds_path) # import gds file\n", "cell = lib.cells[0] # read cell" ] }, { "cell_type": "markdown", "id": "b87fa9f2", "metadata": {}, "source": [ "Similar to what is demonstrated above, we will define a list of [PolySlabs](https://docs.flexcompute.com/projects/tidy3d/en/v1.9.0rc2/_autosummary/tidy3d.PolySlab.html?highlight=polyslab) from the cell." ] }, { "cell_type": "code", "execution_count": 31, "id": "ec60d73d", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T02:43:24.469977Z", "iopub.status.busy": "2023-02-03T02:43:24.469858Z", "iopub.status.idle": "2023-02-03T02:43:24.487990Z", "shell.execute_reply": "2023-02-03T02:43:24.487635Z" } }, "outputs": [], "source": [ "demultiplexer_poly = td.PolySlab.from_gds(\n", " cell,\n", " gds_layer=0,\n", " axis=2,\n", " slab_bounds=(-h / 2, h / 2),\n", ")" ] }, { "cell_type": "markdown", "id": "15e0cada", "metadata": {}, "source": [ "Convert the list of PolySlabs to a list of Tidy3D [Structures](https://docs.flexcompute.com/projects/tidy3d/en/v1.9.0rc2/_autosummary/tidy3d.Structure.html)." ] }, { "cell_type": "code", "execution_count": 32, "id": "0303dd85", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T02:43:24.490053Z", "iopub.status.busy": "2023-02-03T02:43:24.489899Z", "iopub.status.idle": "2023-02-03T02:43:24.492374Z", "shell.execute_reply": "2023-02-03T02:43:24.492015Z" } }, "outputs": [], "source": [ "demultiplexer_structure = []\n", "for s in demultiplexer_poly:\n", " demultiplexer_structure.append(\n", " td.Structure(\n", " geometry=s,\n", " medium=si,\n", " )\n", " )" ] }, { "cell_type": "markdown", "id": "a4a2f477", "metadata": {}, "source": [ "To confirm the structures are defined correctly, we can visualize them. Since this device has a large aspect ratio (~200 $\\mu m$ in length and ~35 $\\mu m$ in width), we will set the aspect ratio of the plot to `auto`. Otherwise, the details of the structures are not clearly viewed. " ] }, { "cell_type": "code", "execution_count": 33, "id": "1b4e1e71", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T02:43:24.494403Z", "iopub.status.busy": "2023-02-03T02:43:24.494223Z", "iopub.status.idle": "2023-02-03T02:43:24.630621Z", "shell.execute_reply": "2023-02-03T02:43:24.630206Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f, ax = plt.subplots(1, 1)\n", "for s in demultiplexer_structure:\n", " s.plot(z=0, ax=ax)\n", "ax.set_ylim(-20, 20)\n", "ax.set_xlim(-194, 6)\n", "ax.set_aspect(\"auto\")" ] }, { "cell_type": "markdown", "id": "60d0be55", "metadata": {}, "source": [ "Now we are ready to perform simulation on this device. To fully characterize the device, we need to excite all eight inputs individually and obtain the transmission at the end of the central bus waveguide. However, since the model is pretty large, for the sake of not making the notebook too long, we will only select two inputs in this notebook as demonstrations.\n", "\n", "First, let's excite the I7 port with the TM0 mode, which should be converted to TM2 mode in the bus waveguide. " ] }, { "cell_type": "code", "execution_count": 34, "id": "83087ce8", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T02:43:24.632870Z", "iopub.status.busy": "2023-02-03T02:43:24.632710Z", "iopub.status.idle": "2023-02-03T02:43:24.639006Z", "shell.execute_reply": "2023-02-03T02:43:24.638625Z" } }, "outputs": [], "source": [ "# define a mode source at the straight part of the I7 port\n", "mode_source = td.ModeSource(\n", " center=(-75, -12.5, 0),\n", " size=(0, 2.5, 8 * h),\n", " source_time=td.GaussianPulse(freq0=freq0, fwidth=fwidth),\n", " direction=\"+\",\n", " mode_spec=td.ModeSpec(num_modes=1, target_neff=n_si),\n", " mode_index=0,\n", ")\n", "\n", "# define a flux monitor at the end of the bus waveguide to measure transmission\n", "bus_flux_monitor = td.FluxMonitor(\n", " center=(6, 0, 0),\n", " size=(0, 4, 8 * h),\n", " freqs=freqs,\n", " name=\"bus_flux\",\n", ")\n", "\n", "# define a field monitor at the xy plane to visualize field distribution\n", "field_monitor = td.FieldMonitor(\n", " center=(0, 0, 0), size=(td.inf, td.inf, 0), freqs=[freq0], name=\"field\"\n", ")\n", "\n", "run_time = 5e-12 # simulation run time\n", "\n", "# define simulation\n", "sim = td.Simulation(\n", " size=(200, 20, 10 * h),\n", " center=(-94, -5, 0),\n", " grid_spec=td.GridSpec.auto(min_steps_per_wvl=15, wavelength=lda0),\n", " structures=demultiplexer_structure,\n", " sources=[mode_source],\n", " monitors=[bus_flux_monitor, field_monitor],\n", " run_time=run_time,\n", " boundary_spec=td.BoundarySpec.all_sides(boundary=td.PML()),\n", " medium=sio2,\n", " symmetry=(0, 0, -1),\n", ")" ] }, { "cell_type": "markdown", "id": "416c3df7", "metadata": {}, "source": [ "Since this simulation is computationally heavy, it is always a good practice to visualize the simulation setup first before submitting the job to the server. This helps avoid running incorrectly set up simulations and wasting time and FlexUnits." ] }, { "cell_type": "code", "execution_count": 35, "id": "2a8f323e", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T02:43:24.641094Z", "iopub.status.busy": "2023-02-03T02:43:24.640929Z", "iopub.status.idle": "2023-02-03T02:43:24.849345Z", "shell.execute_reply": "2023-02-03T02:43:24.848950Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = sim.plot(z=0)\n", "ax.set_aspect(\"auto\")" ] }, { "cell_type": "markdown", "id": "b70a3ae9", "metadata": {}, "source": [ "Submit the simulation job to the server." ] }, { "cell_type": "code", "execution_count": 36, "id": "97aaf4aa", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T02:43:24.851500Z", "iopub.status.busy": "2023-02-03T02:43:24.851337Z", "shell.execute_reply": "2023-02-03T02:58:16.813005Z" } }, "outputs": [ { "data": { "text/html": [ "
\n"
      ],
      "text/plain": [
       "\u001b[?25l"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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       "model_id": "2fd2b014cf634c68a3e87a89cd9d3c11",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "
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      "text/plain": [
       "\u001b[?25l"
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    {
     "data": {
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       "model_id": "6bb08911b47149c5a54032eb75d08e36",
       "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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       "\u001b[?25l"
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     },
     "metadata": {},
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    {
     "data": {
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       "model_id": "c165a87c8910435ebab333e4a1c8ceaa",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "job = web.Job(simulation=sim, task_name=\"8_channel_demultiplexer_I7\")\n",
    "sim_data = job.run(path=\"data/simulation_data.hdf5\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3c5cb75e",
   "metadata": {},
   "source": [
    "The visualization process is similar to what we did in the previous section. First, inspect the field intensity distribution. This shows that the TM0 mode is indeed converted to the TM2 mode in the bus waveguide.\n",
    "\n",
    "Noticeably, there appears to be some leakage at the waveguide bends. This leaves room for further optimization. It can be improved by using a smoother transition such as a [Euler bend](https://docs.flexcompute.com/projects/tidy3d/en/v1.9.0rc2/notebooks/EulerWaveguideBend.html). "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "11688bab",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-02-03T02:58:22.864445Z",
     "iopub.status.busy": "2023-02-03T02:58:22.863690Z",
     "iopub.status.idle": "2023-02-03T02:58:32.520718Z",
     "shell.execute_reply": "2023-02-03T02:58:32.520233Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
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       "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = sim_data.plot_field(\"field\", \"int\", f=freq0, vmin=0, vmax=1000)\n", "ax.set_aspect(\"auto\")" ] }, { "cell_type": "markdown", "id": "f9323e7e", "metadata": {}, "source": [ "Despite the loss at the waveguide bend, the transmission spectrum shows that the transmission is still about 95%." ] }, { "cell_type": "code", "execution_count": 38, "id": "24861f06", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T02:58:32.523113Z", "iopub.status.busy": "2023-02-03T02:58:32.522947Z", "iopub.status.idle": "2023-02-03T02:58:32.618060Z", "shell.execute_reply": "2023-02-03T02:58:32.617655Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Transmission to bus waveguide')" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "T_bus = sim_data[\"bus_flux\"].flux\n", "\n", "plt.plot(ldas, T_bus)\n", "plt.xlim(1.5, 1.6)\n", "plt.ylim(0, 1)\n", "plt.xlabel(\"Wavelength ($\\mu$m)\")\n", "plt.ylabel(\"Transmission to bus waveguide\")" ] }, { "cell_type": "markdown", "id": "5374eba5", "metadata": {}, "source": [ "Lastly, we perform a simulation by exciting the I3 port with the TE0 mode." ] }, { "cell_type": "code", "execution_count": 39, "id": "cad91b66", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T02:58:32.620286Z", "iopub.status.busy": "2023-02-03T02:58:32.620124Z", "iopub.status.idle": "2023-02-03T02:58:32.827493Z", "shell.execute_reply": "2023-02-03T02:58:32.827058Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mode_source = td.ModeSource(\n", " center=(-175, 6.8, 0),\n", " size=(0, 2.5, 8 * h),\n", " source_time=td.GaussianPulse(freq0=freq0, fwidth=fwidth),\n", " direction=\"+\",\n", " mode_spec=td.ModeSpec(num_modes=1, target_neff=n_si),\n", " mode_index=0,\n", ")\n", "\n", "sim = td.Simulation(\n", " size=(200, 15, 10 * h),\n", " center=(-94, 2.5, 0),\n", " grid_spec=td.GridSpec.auto(min_steps_per_wvl=15, wavelength=lda0),\n", " structures=demultiplexer_structure,\n", " sources=[mode_source],\n", " monitors=[bus_flux_monitor, field_monitor],\n", " run_time=run_time,\n", " boundary_spec=td.BoundarySpec.all_sides(boundary=td.PML()),\n", " medium=sio2,\n", " symmetry=(0, 0, 1),\n", ")\n", "\n", "ax = sim.plot(z=0)\n", "ax.set_aspect(\"auto\")" ] }, { "cell_type": "code", "execution_count": 40, "id": "7cbf0289", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T02:58:32.829696Z", "iopub.status.busy": "2023-02-03T02:58:32.829533Z", "shell.execute_reply": "2023-02-03T03:05:14.582799Z" } }, "outputs": [ { "data": { "text/html": [ "
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       "Output()"
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     "output_type": "display_data"
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       "Output()"
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     "metadata": {},
     "output_type": "display_data"
    },
    {
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       "
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       "
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       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
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    {
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       "Output()"
      ]
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     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "job = web.Job(simulation=sim, task_name=\"8_channel_demultiplexer_I3\")\n",
    "sim_data = job.run(path=\"data/simulation_data.hdf5\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ab9b9dea",
   "metadata": {},
   "source": [
    "Field distribution shows a good conversion to the TE1 mode. Loss at the waveguide bend also appears to be smaller in this case."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "8036a25a",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-02-03T03:05:19.910516Z",
     "iopub.status.busy": "2023-02-03T03:05:19.910248Z",
     "iopub.status.idle": "2023-02-03T03:05:28.636951Z",
     "shell.execute_reply": "2023-02-03T03:05:28.636534Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = sim_data.plot_field(\"field\", \"int\", f=freq0, vmin=0, vmax=2000)\n", "ax.set_aspect(\"auto\")" ] }, { "cell_type": "markdown", "id": "95041b87", "metadata": {}, "source": [ "Nearly 100% transmission is achieved. " ] }, { "cell_type": "code", "execution_count": 42, "id": "33aa1acf", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T03:05:28.639337Z", "iopub.status.busy": "2023-02-03T03:05:28.639162Z", "iopub.status.idle": "2023-02-03T03:05:28.739576Z", "shell.execute_reply": "2023-02-03T03:05:28.738884Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Transmission to bus waveguide')" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "T_bus = sim_data[\"bus_flux\"].flux\n", "\n", "plt.plot(ldas, T_bus)\n", "plt.xlim(1.5, 1.6)\n", "plt.ylim(0, 1)\n", "plt.xlabel(\"Wavelength ($\\mu$m)\")\n", "plt.ylabel(\"Transmission to bus waveguide\")" ] }, { "cell_type": "markdown", "id": "99b4b9d3", "metadata": {}, "source": [ "Besides I3 and I7, other input ports can also be examined systematically, which we do not explicitly shown in this notebook. " ] }, { "cell_type": "code", "execution_count": null, "id": "4f0a3f31", "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" }, "widgets": { "application/vnd.jupyter.widget-state+json": { "state": { "0c937092d7a84f2d9830f0f4f10dc490": { "model_module": "@jupyter-widgets/output", "model_module_version": "1.0.0", "model_name": "OutputModel", "state": { "_dom_classes": [], "_model_module": "@jupyter-widgets/output", "_model_module_version": "1.0.0", "_model_name": "OutputModel", "_view_count": null, "_view_module": "@jupyter-widgets/output", "_view_module_version": "1.0.0", "_view_name": "OutputView", "layout": "IPY_MODEL_107d81f25c2d4a1a8970322c7650a1fd", "msg_id": "", "outputs": [ { "data": { "text/html": "
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% done (field decay = 3.84e-06) ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╺━━━━━━━━━  76% 0:00:51\n% done (field decay = 3.84e-06) ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╺━━━━━━━━━  76% 0:00:51
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 simulation.json ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ 100.0%57.8/57.8 kB?0:00:00\n simulation.json ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ 100.0%57.8/57.8 kB?0:00:00
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🏃  Starting 'evanescent_coupler_te3'...\n🏃  Starting 'evanescent_coupler_te3'...
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% done (field decay = 2.36e-06) ━━━━━━━━━━━╺━━━━━━━━━━━━━━━━━━━━━━━━━━━━  28% 0:00:25\n% done (field decay = 2.36e-06) ━━━━━━━━━━━╺━━━━━━━━━━━━━━━━━━━━━━━━━━━━  28% 0:00:25
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 simulation.json ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ 100.0%57.8/57.8 kB?0:00:00\n simulation.json ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ 100.0%57.8/57.8 kB?0:00:00
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🏃  Finishing 'evanescent_coupler_tm3'...\n🏃  Finishing 'evanescent_coupler_tm3'...
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% done (field decay = 9.03e-06) ━━━━━━━━━━━━╸━━━━━━━━━━━━━━━━━━━━━━━━━━━  32% 0:00:41\n% done (field decay = 9.03e-06) ━━━━━━━━━━━━╸━━━━━━━━━━━━━━━━━━━━━━━━━━━  32% 0:00:41
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 monitor_data.hdf5 ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╺━ 95.1%12.3/13.0 MB7.2 MB/s0:00:01\n monitor_data.hdf5 ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╺━ 95.1%12.3/13.0 MB7.2 MB/s0:00:01
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🏃  Finishing 'evanescent_coupler_te2'...\n🏃  Finishing 'evanescent_coupler_te2'...
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 simulation.json ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ 0.0%0.0/10.6 kB?-:--:--\n simulation.json ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ 0.0%0.0/10.6 kB?-:--:--
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🚶  Finishing 'evanescent_coupler_tm2'...\n🚶  Finishing 'evanescent_coupler_tm2'...
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🏃  Starting '8_channel_demultiplexer_I7'...\n🏃  Starting '8_channel_demultiplexer_I7'...
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% done (field decay = 3.45e-07) ━━━━━━━━━━━━━━━━━━━━━━━━╺━━━━━━━━━━━━━━━  60% 0:00:21\n% done (field decay = 3.45e-07) ━━━━━━━━━━━━━━━━━━━━━━━━╺━━━━━━━━━━━━━━━  60% 0:00:21
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 monitor_data.hdf5 ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╸━━ 94.6%9.2/9.8 MB7.6 MB/s0:00:01\n monitor_data.hdf5 ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╸━━ 94.6%9.2/9.8 MB7.6 MB/s0:00:01
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🚶  Starting 'evanescent_coupler_te1'...\n🚶  Starting 'evanescent_coupler_te1'...
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🏃  Finishing 'evanescent_coupler_te3'...\n🏃  Finishing 'evanescent_coupler_te3'...
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 simulation.json ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ 0.0%0.0/10.5 kB?-:--:--\n simulation.json ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ 0.0%0.0/10.5 kB?-:--:--
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 simulation.json ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ 0.0%0.0/10.7 kB?-:--:--\n simulation.json ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ 0.0%0.0/10.7 kB?-:--:--
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% done (field decay = 9.31e-01) ━━━━╸━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━  12% -:--:--\n% done (field decay = 9.31e-01) ━━━━╸━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━  12% -:--:--
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 monitor_data.hdf5 ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╸━━ 94.7%7.6/8.0 MB7.6 MB/s0:00:01\n monitor_data.hdf5 ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╸━━ 94.7%7.6/8.0 MB7.6 MB/s0:00:01
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 simulation.json ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ 0.0%0.0/10.7 kB?-:--:--\n simulation.json ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ 0.0%0.0/10.7 kB?-:--:--
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🚶  Starting 'evanescent_coupler_tm1'...\n🚶  Starting 'evanescent_coupler_tm1'...
\n", "text/plain": "\r\u001b[2K\u001b[32m🚶 \u001b[0m \u001b[1;32mStarting 'evanescent_coupler_tm1'...\u001b[0m\n\u001b[32m🚶 \u001b[0m \u001b[1;32mStarting 'evanescent_coupler_tm1'...\u001b[0m" }, "metadata": {}, "output_type": "display_data" } ], "tabbable": null, "tooltip": null } }, "d1069a942ff54a3fba3d26cdb938030f": { "model_module": "@jupyter-widgets/output", "model_module_version": "1.0.0", "model_name": "OutputModel", "state": { "_dom_classes": [], "_model_module": "@jupyter-widgets/output", "_model_module_version": "1.0.0", "_model_name": "OutputModel", "_view_count": null, "_view_module": "@jupyter-widgets/output", "_view_module_version": "1.0.0", "_view_name": "OutputView", "layout": "IPY_MODEL_dbc25a05ca814d8bb57f06bf503e577a", "msg_id": "", "outputs": [ { "data": { "text/html": "
 simulation.json ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ 0.0%0.0/10.7 kB?-:--:--\n simulation.json ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ 0.0%0.0/10.7 kB?-:--:--
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% done (field decay = 3.95e-07) ━━━━━━━━━━━━━━━━━━━━━━━━━━━╺━━━━━━━━━━━━  68% 0:00:23\n% done (field decay = 3.95e-07) ━━━━━━━━━━━━━━━━━━━━━━━━━━━╺━━━━━━━━━━━━  68% 0:00:23
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% done (field decay = 1.88e-07) ━━━━━━━━━━━━━━━━━━━━━━━━━╸━━━━━━━━━━━━━━  64% 0:00:51\n% done (field decay = 1.88e-07) ━━━━━━━━━━━━━━━━━━━━━━━━━╸━━━━━━━━━━━━━━  64% 0:00:51
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% done (field decay = 6.32e-07) ━━━━━━━━━━━━╸━━━━━━━━━━━━━━━━━━━━━━━━━━━  32% 0:00:34\n% done (field decay = 6.32e-07) ━━━━━━━━━━━━╸━━━━━━━━━━━━━━━━━━━━━━━━━━━  32% 0:00:34
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🏃  Starting '8_channel_demultiplexer_I3'...\n🏃  Starting '8_channel_demultiplexer_I3'...
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 monitor_data.hdf5 ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ 97.6%10.5/10.7 MB8.0 MB/s0:00:01\n monitor_data.hdf5 ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ 97.6%10.5/10.7 MB8.0 MB/s0:00:01
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