{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Advanced monitor data (xarray) manipulation and visualization\n", "\n", "In the previous\n", "[tutorial](https://www.flexcompute.com/tidy3d/examples/notebooks/VizData/),\n", "we have demonstrated the basics of data manipulation and visualization.\n", "As discussed, in `Tidy3D`, we represent multi-dimensional data (such as\n", "arrays) using\n", "[xarray.DataArray](https://docs.xarray.dev/en/stable/generated/xarray.DataArray.html#xarray.DataArray)\n", "objects. It’s important to note that the\n", "[xarray](https://docs.xarray.dev/en/stable/generated/xarray.DataArray.html#xarray.DataArray)\n", "package provides a lot of functionalities that can greatly simplify our\n", "data postprocessing and visualization when used appropriately.\n", "\n", "In this tutorial, we will first briefly review some basic\n", "[xarray](https://docs.xarray.dev/en/stable/generated/xarray.DataArray.html#xarray.DataArray)\n", "features and then delve into some advanced features such as performing\n", "interpolation and integration. This tutorial is designed for users who\n", "are already familiar with `Tidy3D`’s basic workflow and would like to\n", "learn more about data manipulation and visualization. If you are very\n", "new to `Tidy3D`, we suggest checking out the [quick\n", "start](https://www.flexcompute.com/tidy3d/examples/notebooks/StartHere/),\n", "the [first\n", "walkthrough](https://www.flexcompute.com/tidy3d/examples/notebooks/Simulation/),\n", "and the [working\n", "principles](https://www.flexcompute.com/tidy3d/examples/notebooks/Primer/)\n", "tutorials first.\n", "\n", "It’s important to note that the `xarray` library contains many more\n", "functionalities that are not demonstrated here. We encourage users to\n", "reference the\n", "[documentation](https://docs.xarray.dev/en/stable/api.html) to see what\n", "is possible. We also recommend users to watch the [introduction\n", "video](https://www.youtube.com/watch?v=mecN-Ph_-78) on `xarray` if you\n", "would like to learn more about it. After overcoming the initial learning\n", "curve, our users all find data manipulation with `xarray` to be\n", "extremely flexible and efficient." ], "id": "12d1f355-5078-4857-8a5d-b0370750adeb" }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "text/html": [ "" ] } }, { "output_type": "display_data", "metadata": {}, "data": { "text/html": [ "" ] } }, { "output_type": "display_data", "metadata": {}, "data": { "text/html": [ "" ] } }, { "output_type": "display_data", "metadata": {}, "data": { "text/html": [ "
\n", "
\n", "
\n", "" ] } } ], "source": [ "import os\n", "\n", "import hvplot.xarray\n", "from holoviews import dim\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import tidy3d as td\n", "import xarray as xr\n", "from tidy3d import web" ], "id": "7ce9c2bf" }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Load Simulation Data\n", "\n", "Since this tutorial is focused on data analysis, we will skip the\n", "simulation setup part and only load the simulation result from a\n", "previously obtained hdf5 file. We load the hdf5 file to a variable\n", "`sim_data` using the `from_hdf5` method of\n", "[SimulationData](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.SimulationData.html).\n", "This is completely analogous to the situation where you just finished\n", "running a simulation." ], "id": "3b4374ed-19e5-4fb0-9c90-17b8226ff834" }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "text/html": [ "
07:54:56 UTC WARNING: updating Simulation from 2.4 to 2.12                      \n",
              "
" ] } }, { "output_type": "display_data", "metadata": {}, "data": { "text/html": [ "
             WARNING: 'ModeSpec.track_freq' is deprecated and will be removed in\n",
              "             future versions. Please use 'sort_spec.track_freq' instead.        \n",
              "
" ] } }, { "output_type": "display_data", "metadata": {}, "data": { "text/html": [ "
             WARNING: 'ModeSpec.track_freq' is deprecated and will be removed in\n",
              "             future versions. Please use 'sort_spec.track_freq' instead.        \n",
              "
" ] } }, { "output_type": "display_data", "metadata": {}, "data": { "text/html": [ "
             WARNING: 'ModeSpec.track_freq' is deprecated and will be removed in\n",
              "             future versions. Please use 'sort_spec.track_freq' instead.        \n",
              "
" ] } } ], "source": [ "sim_data = td.SimulationData.from_hdf5(\"misc/mmi_simulation_data.h5\")" ], "id": "c9c353bc" }, { "cell_type": "markdown", "metadata": {}, "source": [ "The loaded data contains two parts: `simulation` and `monitor_data`.\n", "`simulation` is simply the original\n", "[Simulation](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.Simulation.html).\n", "We can use it to visualize the simulation in 3D for example.\n", "\n", "As we can see, this simulation contains a 1 by 2 MMI power splitter." ], "id": "abb4207d-e497-4031-98b9-9ecd59ac79a0" }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "text/html": [ "\n", "
\n", " \n", " " ] } } ], "source": [ "sim_data.simulation.plot_3d()" ], "id": "8374f799" }, { "cell_type": "markdown", "metadata": {}, "source": [ "`monitor_data`, as the name suggests, contains data from all monitors\n", "defined in the simulation. `monitor_data` is a dictionary with the keys\n", "being the names of the monitors. Let’s print out the keys to see what\n", "they are.\n", "\n", "Here we have three monitors named `Flux monitor`, `Mode monitor`, and\n", "`Field monitor`. In the following sections, we will examine them\n", "individually and use them to demonstrate various functionalities of\n", "`xarray`." ], "id": "7136606a-0128-4804-ab4a-a3a4cee9aa02" }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "text/plain": [ "dict_keys(['Flux monitor', 'Mode monitor', 'Field monitor'])" ] } } ], "source": [ "sim_data.monitor_data.keys()" ], "id": "1b077b82" }, { "cell_type": "markdown", "metadata": {}, "source": [ "## FluxMonitor Data\n", "\n", "We can access the data for each monitor by indexing into the\n", "[SimulationData](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.SimulationData.html)\n", "with the monitor `.name`. The monitor dataset contains one or more\n", "`xarray.DataArray` objects storing the actual raw data. For the flux\n", "monitor data, we can access the raw flux data as a function of frequency\n", "with `.flux`. As most data are multidimensional, it’s often very helpful\n", "to print out the data and directly inspect its structure.\n", "\n", "Here we can see that the flux is an array with only one coordinate `f`,\n", "which is frequency in Hz. The unit of flux is W." ], "id": "a75cee35-bba2-424b-9f2d-9754ccb6884a" }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "text/html": [ "
\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
<xarray.FluxDataArray (f: 50)> Size: 200B\n",
              "array([0.49619535, 0.4959998 , 0.4958456 , 0.49578664, 0.4958678 ,\n",
              "       0.49604478, 0.49626908, 0.49647027, 0.4966077 , 0.49661922,\n",
              "       0.49642277, 0.49594647, 0.4951819 , 0.4942104 , 0.4932421 ,\n",
              "       0.4924945 , 0.4921227 , 0.49211392, 0.49230942, 0.4924388 ,\n",
              "       0.49224442, 0.49157965, 0.4904679 , 0.48906133, 0.4876103 ,\n",
              "       0.48636082, 0.4854779 , 0.4849979 , 0.48482403, 0.48475057,\n",
              "       0.48453504, 0.48398182, 0.48302355, 0.48175392, 0.48037806,\n",
              "       0.47914445, 0.47820777, 0.47757253, 0.47708204, 0.47651216,\n",
              "       0.47562975, 0.47437435, 0.4728097 , 0.47111368, 0.4695425 ,\n",
              "       0.46828848, 0.4674291 , 0.4669524 , 0.46673352, 0.46655577],\n",
              "      dtype=float32)\n",
              "Coordinates:\n",
              "  * f        (f) float64 400B 1.999e+14 1.996e+14 ... 1.876e+14 1.874e+14\n",
              "Attributes:\n",
              "    units:      W\n",
              "    long_name:  flux
" ] } } ], "source": [ "sim_data[\"Flux monitor\"].flux" ], "id": "961f5db9" }, { "cell_type": "markdown", "metadata": {}, "source": [ "The data array has `.values` and `.coords`. The `.values` are just the\n", "raw, unlabeled data. The `.coords` are a dictionary mapping each\n", "dimension of the data to a set of data. For example, mapping the flux\n", "values to a specific frequency. We can inspect them by printing them\n", "out." ], "id": "e83c1006-6e6c-40ca-b5ad-76a9cc6db6f3" }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "text/plain": [ "array([0.49619535, 0.4959998 , 0.4958456 , 0.49578664, 0.4958678 ,\n", " 0.49604478, 0.49626908, 0.49647027, 0.4966077 , 0.49661922,\n", " 0.49642277, 0.49594647, 0.4951819 , 0.4942104 , 0.4932421 ,\n", " 0.4924945 , 0.4921227 , 0.49211392, 0.49230942, 0.4924388 ,\n", " 0.49224442, 0.49157965, 0.4904679 , 0.48906133, 0.4876103 ,\n", " 0.48636082, 0.4854779 , 0.4849979 , 0.48482403, 0.48475057,\n", " 0.48453504, 0.48398182, 0.48302355, 0.48175392, 0.48037806,\n", " 0.47914445, 0.47820777, 0.47757253, 0.47708204, 0.47651216,\n", " 0.47562975, 0.47437435, 0.4728097 , 0.47111368, 0.4695425 ,\n", " 0.46828848, 0.4674291 , 0.4669524 , 0.46673352, 0.46655577],\n", " dtype=float32)" ] } } ], "source": [ "sim_data[\"Flux monitor\"].flux.values" ], "id": "27b67b39" }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "text/plain": [ "Coordinates:\n", " * f (f) float64 400B 1.999e+14 1.996e+14 ... 1.876e+14 1.874e+14" ] } } ], "source": [ "sim_data[\"Flux monitor\"].flux.coords" ], "id": "c4a41898" }, { "cell_type": "markdown", "metadata": {}, "source": [ "`xarray` allows us to quickly plot the data. In this case, the plot will\n", "just be a 1D line since the data only contains one coordinate. Note that\n", "the x and y axis labels are automatically created accordingly." ], "id": "bb8ebab0-4f4a-4cff-9cae-a574f504d8b9" }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABL0AAANdCAYAAABxog6tAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90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\n" } } ], "source": [ "sim_data[\"Flux monitor\"].flux.plot()\n", "plt.show()" ], "id": "a63cc49e" }, { "cell_type": "markdown", "metadata": {}, "source": [ "In many cases, we would like to customize the plot. For example, the\n", "transmission is often plotted in dB scale. Instead of frequency in Hz as\n", "the x axis, wavelength in micron is more standard. In addition, we might\n", "want to plot the curve in a certain style. This can be achieved by first\n", "extracting the data from the DataArray and manually plotting them using\n", "[matplotlib](https://matplotlib.org/) or other visualization library of\n", "choice." ], "id": "211948b6-5b72-4730-9e6e-a2bc54bccdc4" }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABKkAAANnCAYAAAD6Bgv0AAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90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\nIiIiIiKbY0hFREREREREREQ293/DBbPHzQTVsAAAAABJRU5ErkJggg==\n" } } ], "source": [ "# extract frequencies from the monitor data\n", "freqs = sim_data[\"Flux monitor\"].flux.f\n", "\n", "# extract the transmission flux from the monitor data\n", "T = sim_data[\"Flux monitor\"].flux\n", "\n", "# plot the transmission in dB\n", "plt.plot(td.C_0 / freqs, 10 * np.log10(T), \"red\", linewidth=3)\n", "plt.xlabel(r\"Wavelength ($\\mu m$)\")\n", "plt.ylabel(\"Transmission (dB)\")\n", "plt.ylim(-10, 0)\n", "plt.show()" ], "id": "89c58228" }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Saving Data as a CSV File\n", "\n", "After running a simulation, often we want to save the data for future\n", "use to avoid rerunning the same simulation. In Tidy3D, after a\n", "simulation is finished, the hdf5 data file will be automatically\n", "downloaded to the specified path. We can load it in the future as\n", "demonstrated at the beginning of this notebook.\n", "\n", "Sometimes users might prefer to only save certain data in other formats\n", "such as csv files. Here we demonstrate how to save the transmission flux\n", "spectrum. First we define a `numpy` array to store the data and then use\n", "the `savetxt` method to save it as a csv file. This csv file will\n", "contain two columns with the first column being the frequencies and the\n", "second column being the flux." ], "id": "a9f875f4-0b9d-4cd5-b5af-49fd312653f1" }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "flux_data = np.zeros((len(freqs), 2))\n", "flux_data[:, 0] = sim_data[\"Flux monitor\"].flux.f\n", "flux_data[:, 1] = sim_data[\"Flux monitor\"].flux\n", "\n", "# ensure the directory exists\n", "if not os.path.exists(\"data\"):\n", " os.makedirs(\"data\")\n", "\n", "np.savetxt(\"data/flux_data.csv\", flux_data, delimiter=\",\")" ], "id": "bc58480b" }, { "cell_type": "markdown", "metadata": {}, "source": [ "## ModeMonitor Data\n", "\n", "The mode monitor data contains the complex effective indices and the\n", "complex mode amplitudes at the monitor position calculated by mode\n", "decomposition. First, let’s look at the data structure of the complex\n", "effective indices `n_complex`. This data contains two coordinates: `f`\n", "and `mode_index`, both of which are specified when defining the\n", "[ModeMonitor](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.ModeMonitor.html)\n", "in the simulation. In this case specifically, we solved for 3 modes at\n", "50 frequency points for this monitor." ], "id": "a9501329-d074-467a-b9fe-aa3ecfcaa788" }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "text/html": [ "
             WARNING: 'ModeSpec.track_freq' is deprecated and will be removed in\n",
              "             future versions. Please use 'sort_spec.track_freq' instead.        \n",
              "
" ] } }, { "output_type": "display_data", "metadata": {}, "data": { "text/html": [ "
\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
<xarray.ModeIndexDataArray (f: 50, mode_index: 3)> Size: 1kB\n",
              "array([[2.489277 +0.j, 1.8951759+0.j, 1.5556417+0.j],\n",
              "       [2.4872196+0.j, 1.8923448+0.j, 1.5539825+0.j],\n",
              "       [2.4851615+0.j, 1.8895283+0.j, 1.5523468+0.j],\n",
              "       [2.4831038+0.j, 1.8867241+0.j, 1.55074  +0.j],\n",
              "       [2.4810426+0.j, 1.8839306+0.j, 1.5491359+0.j],\n",
              "       [2.4789817+0.j, 1.8811514+0.j, 1.547556 +0.j],\n",
              "       [2.47692  +0.j, 1.8783836+0.j, 1.5459919+0.j],\n",
              "       [2.4748576+0.j, 1.8756295+0.j, 1.5444443+0.j],\n",
              "       [2.4727929+0.j, 1.8728877+0.j, 1.5429138+0.j],\n",
              "       [2.4707265+0.j, 1.8701544+0.j, 1.5414042+0.j],\n",
              "       [2.4686599+0.j, 1.8674368+0.j, 1.5399053+0.j],\n",
              "       [2.4665923+0.j, 1.8647317+0.j, 1.5384263+0.j],\n",
              "       [2.464523 +0.j, 1.8620384+0.j, 1.5369555+0.j],\n",
              "       [2.4624531+0.j, 1.8593596+0.j, 1.5355088+0.j],\n",
              "       [2.4603822+0.j, 1.8566914+0.j, 1.5340687+0.j],\n",
              "       [2.4583097+0.j, 1.8540373+0.j, 1.5326532+0.j],\n",
              "       [2.4562361+0.j, 1.8513958+0.j, 1.5312481+0.j],\n",
              "       [2.454162 +0.j, 1.8487672+0.j, 1.5298533+0.j],\n",
              "       [2.4520867+0.j, 1.8461518+0.j, 1.52848  +0.j],\n",
              "       [2.4500098+0.j, 1.8435477+0.j, 1.5271199+0.j],\n",
              "...\n",
              "       [2.427097 +0.j, 1.8157864+0.j, 1.5130032+0.j],\n",
              "       [2.4250083+0.j, 1.813344 +0.j, 1.5117941+0.j],\n",
              "       [2.422919 +0.j, 1.8109143+0.j, 1.5105985+0.j],\n",
              "       [2.4208276+0.j, 1.8084954+0.j, 1.5094122+0.j],\n",
              "       [2.4187353+0.j, 1.8060918+0.j, 1.5082369+0.j],\n",
              "       [2.4166415+0.j, 1.8037016+0.j, 1.5070716+0.j],\n",
              "       [2.4145486+0.j, 1.8013238+0.j, 1.5059186+0.j],\n",
              "       [2.4124515+0.j, 1.7989601+0.j, 1.5047785+0.j],\n",
              "       [2.4103568+0.j, 1.7966118+0.j, 1.5036418+0.j],\n",
              "       [2.408259 +0.j, 1.7942752+0.j, 1.5025188+0.j],\n",
              "       [2.4061618+0.j, 1.7919525+0.j, 1.5014069+0.j],\n",
              "       [2.4040608+0.j, 1.78964  +0.j, 1.5003092+0.j],\n",
              "       [2.4019625+0.j, 1.7873462+0.j, 1.4992143+0.j],\n",
              "       [2.3998604+0.j, 1.785063 +0.j, 1.4981284+0.j],\n",
              "       [2.3977578+0.j, 1.7827923+0.j, 1.4970543+0.j],\n",
              "       [2.3956566+0.j, 1.7805377+0.j, 1.4959886+0.j],\n",
              "       [2.3935518+0.j, 1.7782943+0.j, 1.4949344+0.j],\n",
              "       [2.3914475+0.j, 1.7760681+0.j, 1.4938891+0.j],\n",
              "       [2.3893406+0.j, 1.7738496+0.j, 1.4928495+0.j],\n",
              "       [2.387236 +0.j, 1.7716507+0.j, 1.4918177+0.j]], dtype=complex64)\n",
              "Coordinates:\n",
              "  * f           (f) float64 400B 1.999e+14 1.996e+14 ... 1.876e+14 1.874e+14\n",
              "  * mode_index  (mode_index) int64 24B 0 1 2\n",
              "Attributes:\n",
              "    long_name:  Propagation index
" ] } } ], "source": [ "sim_data[\"Mode monitor\"].n_complex" ], "id": "5e428b5e" }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Data Selection/Slicing\n", "\n", "For multidimensional data, it’s important to slice them correctly to\n", "extract the data that we are looking for. For example, assume that we\n", "want to plot the effective indices as a function of frequency for each\n", "mode. This can be easily achieved by using the\n", "[sel](https://docs.xarray.dev/en/v2022.03.0/generated/xarray.Dataset.isel.html)\n", "method of `xarray`.\n", "\n", "After slicing the data, we can directly plot it on a `matplotlib` axis\n", "so we can style the plot after plotting it." ], "id": "e20b85ee-d6b2-4612-8405-6339cfbdabf6" }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "text/html": [ "
07:54:57 UTC WARNING: 'ModeSpec.track_freq' is deprecated and will be removed in\n",
              "             future versions. Please use 'sort_spec.track_freq' instead.        \n",
              "
" ] } }, { "output_type": "display_data", "metadata": {}, "data": { "text/html": [ "
             WARNING: 'ModeSpec.track_freq' is deprecated and will be removed in\n",
              "             future versions. Please use 'sort_spec.track_freq' instead.        \n",
              "
" ] } }, { "output_type": "display_data", "metadata": {}, "data": { "text/html": [ "
             WARNING: 'ModeSpec.track_freq' is deprecated and will be removed in\n",
              "             future versions. Please use 'sort_spec.track_freq' instead.        \n",
              "
" ] } }, { "output_type": "display_data", "metadata": {}, "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABAYAAALxCAYAAADPHaRCAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90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\n" } } ], "source": [ "# define a matplotlib axis\n", "fig, ax = plt.subplots(figsize=(6, 4))\n", "\n", "# slice the monitor data and plot it on the axis\n", "sim_data[\"Mode monitor\"].n_complex.sel(mode_index=0).real.plot(ax=ax)\n", "sim_data[\"Mode monitor\"].n_complex.sel(mode_index=1).real.plot(ax=ax)\n", "sim_data[\"Mode monitor\"].n_complex.sel(mode_index=2).real.plot(ax=ax)\n", "\n", "# style the plot\n", "ax.set_title(\"Effective indices of three modes\")\n", "ax.legend([\"mode 1\", \"mode 2\", \"mode 3\"])\n", "plt.show()" ], "id": "7a4745db" }, { "cell_type": "markdown", "metadata": {}, "source": [ "In `sel`, we can specify multiple coordinates at the same time. For\n", "example, we want to extract the effective index of the first mode (index\n", "0) at the highest frequency." ], "id": "fffb1bdf-a02c-4b58-83a5-4d56d6cd9d18" }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "text/html": [ "
             WARNING: 'ModeSpec.track_freq' is deprecated and will be removed in\n",
              "             future versions. Please use 'sort_spec.track_freq' instead.        \n",
              "
" ] } }, { "output_type": "stream", "name": "stdout", "text": [ "The effective index for the first mode at 1500.000 nm is 2.489." ] } ], "source": [ "n_eff = sim_data[\"Mode monitor\"].n_complex.sel(mode_index=0, f=freqs[0]).real.values\n", "\n", "print(\n", " f\"The effective index for the first mode at {1e3 * td.C_0 / freqs.values[0]:.3f} nm is {n_eff:.3f}.\"\n", ")" ], "id": "ace58a37" }, { "cell_type": "markdown", "metadata": {}, "source": [ "Equivalently, the same can be achieved by using\n", "[isel](https://docs.xarray.dev/en/v2022.03.0/generated/xarray.Dataset.isel.html),\n", "which stands for index selection. Unlike `sel`, which selects at\n", "specific coordinate values, `isel` selects at specific coordinate index.\n", "For example, the highest frequency is the index 0 of the frequency\n", "coordinate. Therefore, `isel(mode_index=0, f=0)` will give the same\n", "result as `sel(mode_index=0, f=freqs[0])`." ], "id": "4761fdb3-89e8-41b8-9434-3976e83a41f4" }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "text/html": [ "
             WARNING: 'ModeSpec.track_freq' is deprecated and will be removed in\n",
              "             future versions. Please use 'sort_spec.track_freq' instead.        \n",
              "
" ] } }, { "output_type": "stream", "name": "stdout", "text": [ "The effective index for the first mode at 1500.000 nm is 2.489." ] } ], "source": [ "n_eff = sim_data[\"Mode monitor\"].n_complex.isel(mode_index=0, f=0).real.values\n", "print(\n", " f\"The effective index for the first mode at {1e3 * td.C_0 / freqs.values[0]:.3f} nm is {n_eff:.3f}.\"\n", ")" ], "id": "0b431153" }, { "cell_type": "markdown", "metadata": {}, "source": [ "Besides the effective index,\n", "[ModeMonitor](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.ModeMonitor.html)\n", "is primarily used to calculate the transmission of certain modes in\n", "certain directions. We can extract the complex amplitude and square it\n", "to compute the mode transmission power.\n", "\n", "In addition to the support of standard mathematical operations (`+`,\n", "`-`, `*`, `**`), `xarray` is also compatible with\n", "[numpy](https://numpy.org/) so we can directly apply `numpy` operations\n", "such as `square` to an `xarray` DataArray. As a demonstration, we\n", "extract the transmission of the fundamental mode in the positive\n", "direction (`sel(mode_index=0, direction='+')`), take the absolute value\n", "(`.abs`), and square it using `numpy`. Then we can plot it in dB scale.\n", "The plot is similar to the previous plot from `Flux monitor`, which is\n", "expected as the waveguide is single mode and most of the transmitted\n", "power is at the fundamental mode.\n", "\n", "Note that in Tidy3D, we implemented additional convenient\n", "functionalities that are not available in the original `xarray`. Taking\n", "the absolute value (`.abs`) is one example. One can achieve the same\n", "result by using `abs()` on a DataArray." ], "id": "3f969a35-8273-4e91-96b5-9d3b1d0f2d74" }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "text/html": [ "
             WARNING: 'ModeSpec.track_freq' is deprecated and will be removed in\n",
              "             future versions. Please use 'sort_spec.track_freq' instead.        \n",
              "
" ] } }, { "output_type": "display_data", "metadata": {}, "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABKkAAANnCAYAAAD6Bgv0AAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90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\nrkJggg==\n" } } ], "source": [ "# extract complex mode amplitude and calculate transmission power\n", "T = np.square(sim_data[\"Mode monitor\"].amps.sel(mode_index=0, direction=\"+\").abs)\n", "\n", "# plot the transmission spectrum\n", "plt.plot(td.C_0 / freqs, 10 * np.log10(T), \"red\", linewidth=3)\n", "plt.xlabel(r\"Wavelength ($\\mu m$)\")\n", "plt.ylabel(\"Transmission (dB)\")\n", "plt.ylim(-10, 0)\n", "plt.show()" ], "id": "da2229e8" }, { "cell_type": "markdown", "metadata": {}, "source": [ "## FieldMonitor Data\n", "\n", "Finally let’s examine the data in `Field monitor`. This dataset contains\n", "all electric and magnetic field components: `Ex`, `Ey`, `Ez`, `Hx`,\n", "`Hy`, and `Hz`. Let’s use `Hz` as an example to explore some\n", "visualization possibilities.\n", "\n", "This array has 4 coordinates: three spatial coordinates and one\n", "frequency coordinate." ], "id": "5d1541ec-1118-44dd-a9c3-b25f3752cafe" }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "text/html": [ "
\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
<xarray.ScalarFieldDataArray (x: 639, y: 71, z: 4, f: 3)> Size: 4MB\n",
              "array([[[[-4.21197501e-13-7.63092253e-14j,\n",
              "           2.06759574e-14+1.06486902e-13j,\n",
              "          -5.45012169e-13+1.84023478e-13j],\n",
              "         [ 1.72903887e-13+7.30291817e-14j,\n",
              "           6.28276050e-14-2.33233300e-13j,\n",
              "           1.06661121e-12-1.47368811e-13j],\n",
              "         [-1.45802099e-13-9.70202583e-14j,\n",
              "          -6.83223077e-14+1.50096800e-13j,\n",
              "          -1.01692168e-12+1.69137138e-13j],\n",
              "         [-1.66980999e-13-4.46525378e-14j,\n",
              "          -6.44609081e-14+1.04707238e-13j,\n",
              "          -7.64654182e-13+1.56975561e-13j]],\n",
              "\n",
              "        [[ 1.83680789e-14-6.91012189e-13j,\n",
              "           1.55601953e-12+9.88327367e-13j,\n",
              "          -2.74072670e-12+1.58785116e-12j],\n",
              "         [ 7.05131808e-13-8.20385426e-13j,\n",
              "           8.60337897e-13+5.32298543e-13j,\n",
              "          -2.65417007e-12-9.85616970e-13j],\n",
              "         [ 5.99199238e-13-7.92176383e-13j,\n",
              "...\n",
              "         [ 1.17384121e-14-1.41757672e-13j,\n",
              "           1.57059980e-13+2.16227996e-13j,\n",
              "           4.11576616e-13-1.58133448e-13j],\n",
              "         [ 2.44148692e-14-1.44831968e-13j,\n",
              "           1.07231030e-13+1.80186378e-13j,\n",
              "           2.91607043e-13-1.04423543e-13j]],\n",
              "\n",
              "        [[ 5.06348842e-14-4.29277484e-14j,\n",
              "           1.18457295e-14+9.13331910e-14j,\n",
              "           1.09568807e-13-7.53448004e-14j],\n",
              "         [-4.63693618e-14+4.68727399e-14j,\n",
              "          -1.57478841e-14-1.07168458e-13j,\n",
              "          -1.38530151e-13+8.91796877e-14j],\n",
              "         [ 4.53232422e-14-8.81930501e-14j,\n",
              "           1.54002956e-14+1.45535100e-13j,\n",
              "           1.25600878e-13-6.35340440e-14j],\n",
              "         [ 3.75325754e-14-6.70172400e-14j,\n",
              "           9.84553236e-15+1.09919554e-13j,\n",
              "           1.00585596e-13-5.27222749e-14j]]]],\n",
              "      shape=(639, 71, 4, 3), dtype=complex64)\n",
              "Coordinates:\n",
              "  * x        (x) float64 5kB -28.33 -28.24 -28.16 -28.07 ... 28.2 28.29 28.33\n",
              "  * y        (y) float64 568B -4.203 -3.996 -3.789 -3.583 ... 3.789 3.996 4.203\n",
              "  * z        (z) float64 32B -0.11 -0.022 0.066 0.11\n",
              "  * f        (f) float64 24B 1.999e+14 1.934e+14 1.874e+14\n",
              "Attributes:\n",
              "    long_name:  field value
" ] } } ], "source": [ "sim_data[\"Field monitor\"].Hz" ], "id": "43efa028" }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can slice the data in the same way using `sel` and(or) `isel`. Let’s\n", "look at the `Hz` field at the first frequency (1500 nm) and z=0 plane.\n", "When using `sel`, it’s important to note that the specific coordinate\n", "value might not be available in the data. For example, the z coordinate\n", "contains four values, namely -0.11, -0.022, 0.066, and 0.11. That is,\n", "z=0 is not available. We can specify `method='nearest'` in the selection\n", "such that it automatically extracts the data at the nearest plane,\n", "e.g. z=-0.022." ], "id": "e33aa1e6-e71d-456e-92d7-67378ed389a0" }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "text/html": [ "
\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
<xarray.ScalarFieldDataArray (x: 639, y: 71)> Size: 363kB\n",
              "array([[ 1.72903887e-13+7.30291817e-14j,  7.05131808e-13-8.20385426e-13j,\n",
              "        -4.10750562e-13-1.32187230e-11j, ...,\n",
              "         2.20327619e-12+2.00806880e-14j, -2.93731185e-13+3.05212940e-13j,\n",
              "        -8.45800548e-14+2.77022573e-13j],\n",
              "       [-2.07527363e-11+9.06220411e-12j,  1.73980080e-10-7.17077953e-10j,\n",
              "         5.30298161e-09-3.85799659e-09j, ...,\n",
              "         1.53273738e-09-1.78293558e-09j, -1.13150746e-10-1.01174555e-10j,\n",
              "         9.96051982e-13+1.79779379e-12j],\n",
              "       [-1.84707982e-09+2.74981615e-09j, -2.47840379e-08-9.69261080e-08j,\n",
              "         4.35158171e-07-5.78295271e-07j, ...,\n",
              "         7.09929466e-08-3.01665466e-07j, -2.05956585e-08-4.81508300e-09j,\n",
              "         1.10313522e-10+8.91196908e-11j],\n",
              "       ...,\n",
              "       [-1.03232742e-10+8.24886166e-12j,  2.28711539e-09-1.38926426e-09j,\n",
              "         1.25055974e-08+1.50453268e-08j, ...,\n",
              "         8.53952109e-09+3.09128767e-09j, -1.86159352e-10-5.29092270e-10j,\n",
              "         9.32336239e-13+7.03187899e-12j],\n",
              "       [-1.80652870e-13-7.85726803e-14j,  1.38683303e-12-4.83263006e-13j,\n",
              "         1.98963827e-12+1.07613978e-11j, ...,\n",
              "         5.02892346e-12+3.87518316e-12j,  5.12411565e-14-1.53012545e-13j,\n",
              "        -5.88365687e-14+1.36643653e-13j],\n",
              "       [-5.79908097e-14-4.90087910e-14j, -1.08373292e-13-2.28382634e-13j,\n",
              "        -1.74725566e-12-1.37564834e-14j, ...,\n",
              "         6.79223875e-13+7.33959402e-14j, -1.36950667e-14+7.32532185e-14j,\n",
              "        -4.63693618e-14+4.68727399e-14j]],\n",
              "      shape=(639, 71), dtype=complex64)\n",
              "Coordinates:\n",
              "  * x        (x) float64 5kB -28.33 -28.24 -28.16 -28.07 ... 28.2 28.29 28.33\n",
              "  * y        (y) float64 568B -4.203 -3.996 -3.789 -3.583 ... 3.789 3.996 4.203\n",
              "    z        float64 8B -0.022\n",
              "    f        float64 8B 1.999e+14\n",
              "Attributes:\n",
              "    long_name:  field value
" ] } } ], "source": [ "sim_data[\"Field monitor\"].Hz.isel(f=0).sel(z=0, method=\"nearest\")" ], "id": "00cc2dc2" }, { "cell_type": "markdown", "metadata": {}, "source": [ "After slicing, the data is 2D so it can be plotted as a false color\n", "plot. When using the `plot` method, we can specify which coordinate is\n", "plotted on the horizontal axis, which coordinate is plotted on the\n", "vertical axis, what colormap is used, min and max values of the color\n", "scale, etc." ], "id": "61764b49-7559-4443-b9b6-ad67ccd327f3" }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABJYAAAOFCAYAAAA4cmjIAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90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\nZn11YQAAAABJRU5ErkJggg==\n" } } ], "source": [ "Hz_1500 = sim_data[\"Field monitor\"].Hz.abs.isel(f=0).sel(z=0, method=\"nearest\")\n", "Hz_1500.plot(x=\"y\", y=\"x\", cmap=\"hot\", vmin=0, vmax=0.6)\n", "plt.show()" ], "id": "561dfa78" }, { "cell_type": "markdown", "metadata": {}, "source": [ "Similarly, we can easily extract and plot the field at 1550 nm." ], "id": "b7b3d0cc-1f56-444f-9e39-d875eb65e645" }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABJYAAAOFCAYAAAA4cmjIAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\nbGliIHZlcnNpb24zLjExLjEsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvctoD+AAAAAlwSFlzAAAd\nhwAAHYcBj+XxZQABAABJREFUeJzs3XecFEX6P/DPsrBLZpcgWUUJAiooqIg5gYfCieKBnooeKvoz\n4ql3euid8VQ8c0CPM2LCjBERMRKMiIIioEjOLDnu7u8PvjvuulP1PNNV3dMz+3m/Xr6Oo3u6q6ur\nm6lnnqrKKS0tLQUREREREREREVGKqqW7AERERERERERElJkYWCIiIiIiIiIiokAYWCIiIiIiIiIi\nokAYWCIiIiIiIiIiokAYWCIiIiIiIiIiokAYWCIiIiIiIiIiokAYWCIiIiIiIiIiokAYWCIiIiIi\nIiIiokAYWCIiIiIiIiIiokAYWCIiIiIiIiIiokAYWCIiIiIiIiIiokAYWCIiIiIiIiIiokAYWCIi\nIiIiIiIiokAYWCIiIiIiIiIiokAYWCIiIiIiIiIiokAYWCIiIiIiIiIiokAYWCIiIiIiIiIiokAY\nWCIiIiIiIiIiokCqp7sAREREvsydOxennHJK0m1XXHEFzjrrrIhLFK2BAwdi1qxZlf6+Q4cOeOGF\nFyIrR1FREUaPHo1PPvkECxcuxKZNm1BaWoratWtj0qRJkZWDiILL1vdpXN6TRETZhIElIiKPtm3b\nhrfffhtvvPEGfv31V2zcuBHNmjVD9+7dMXDgQLRt2za25926dSumTZuGzz//HN999x3mz5+PoqIi\nlJSUoLCwEO3bt8fhhx+Ofv36IT8/P/LjaWzevBnffvtt0m3Lly/3co44mzVrlvH6ozJt2jT06dMH\nS5YsqbStTp06aShROEpKSjB79mxMnz498d/8+fNRWloKALjzzjtx7LHHhnb+zz77DG+99Ra+/fZb\nrFq1CrVq1UKLFi1wzDHHoH///igsLFQdZ8mSJZgyZQqmTp2KRYsWYfny5Vi9ejVq166NZs2aoUuX\nLvjjH/+Izp07O5V327Zt6NevH5YuXZr4u7vvvhtHHXWU03HjLKo2ElbdBnmfnnXWWZg+fToA4MYb\nb0S/fv1U55o3bx5OOumkxP+fNm1aSmVNRRzek0REWaeUiIi8mDJlSmmHDh1KAST9r1q1aqVXXXVV\n6datW2N33qeffro0Ly/PeIzy/zVu3Lj0f//7n7VMvo+n9d133xnPM2LECC/niLMuXbokvfYuXbpE\ncv7i4uLSjh07Gu9BnTp1IilH2J577rnSWrVqWdv1iy++GMq5f/rpp9KePXtaz11QUFD62GOPicc6\n8cQTVc8ogNLevXuXzp07N3C5hw8fXumYr776auDjxV2UbSSsug3yPj3ooIMS+zz++OPqc/3www8V\njh+mdL8niYiyETOWiIg8mDp1Ko4++mhs2rTJuE9JSQlGjBiBBQsW4Nlnn0VOTk5szltUVIRt27ap\nzrly5UoMGTIEP/zwA0aMGJF0H9/HC+Kwww7Dfffdl/j/LVu29HbsuHrhhRewefNmADvvQdTZIF9+\n+SV++OEHAEDt2rVx8803Y//990eDBg0AALm5uZGWJyxFRUWJeo7StGnTcOSRR2Lt2rXW/YqKivCX\nv/wFq1atwpVXXmncb8WKFepzjxs3DgcffDA+/vhjdOjQQf05AJg+fTpuv/32lD6TLgMGDMCcOXPQ\nuXNnPPPMM4GPE1Ubiapus+l9mu73JBFRNmJgiYjI0caNG9G/f/9EcCcvLw8XXngh+vTpg3r16uGH\nH37AAw88gG+++QYA8Pzzz6Nnz5645JJLYnXe/Px87LfffjjwwAPRsWNHNG7cGE2aNEHt2rWxYMEC\nvPnmm3j66aexY8cOADuHcRx66KH44x//GMnxUlW/fn107drVy7EyRfkO/8qVKyM//4wZMxJ/Pu+8\n8zBs2LDIyxCVatWqoW3btthnn32w7777Yt9998W1116bCKz5tnXrVvTv3z8RVMrJycGpp56Kk08+\nGbvvvjt27NiBGTNmYNSoUfjiiy8AAFdddRW6d++OI488Mukxc3Jy0K5dO/To0QNdunRBixYt0LRp\nU9SvXx9r167Fd999h+eeew6ff/45gJ3Dn/7yl7/gs88+U5e7uLgYf/nLX7B9+3YcfPDBKCoqCq2O\nfPjxxx8xY8YMVK/u/hU57DYSZd1m0/s03e9JIqKslO6UKSKiTHfDDTckUunz8vJKP/roo0r7bN26\ntbRfv36J/Ro1alS6du3a2Jy3qKiodNu2beI5J02aVFq/fv3E8Q499NCk+/k+nlb5oRsnnHCC07Ey\n3YoVKyIf4nHPPfdUiaGHRUVFpZs2bar09926dQttKNzDDz+cOHZubm7pyy+/nHS/4uLi0ssuuyyx\nb9euXUtLSkqS7rt69WrVuX8/1Oqnn35Sl/v2229PvKNmzJhR2rlz51gPhSsrX7du3ZyOE0UbCbtu\ng7xPM2EoXHnpeE8SEWUjZiwRUcLvJ8/UuuCCC3DBBRf4L1AGKC0txahRoxL//29/+xsOP/zwSvvl\n5eXhiSeeQJs2bbB27VqsWrUKr7zyCs4+++xYnLdsqJLk4IMPxs0334xLL70UADBp0iTs2LGj0q/7\nvo8XlpkzZ+L0008HABx33HHiULwXXngB//73vwEkXxWpuLgY3bp1AwC0aNECb7/9NoCdmTyjR4/G\nd999h5UrV6Jly5bo2bMnzj//fNSrV6/CMdavX4/Ro0fjo48+woIFC5CXl4d9990X55xzTiwzBmbN\nmoWBAwcCqDi06u6778bo0aMr7PvCCy+kPIwqjrTt26c333wz8eczzzwTJ598ctL9qlWrhjvvvBNv\nvvkm5s6di2nTpmHKlCk4+OCDK+2rneD7X//6Fx566CGsXr0aADB79my0a9dO/Nzs2bPxz3/+EwAw\nfPhwdOrUSXW+ZNauXYuxY8figw8+wMKFC7F27Vo0bNgQe+21F0488cRQJ0oPIuw24rNuMwG/nxAR\nxRsDS0SUsGXLlkArpZRfiaaq+eKLL7BgwQIAO+ePsQ1vKywsxNlnn417770XAPDSSy8FDiyl67wA\n0Ldv30QgqKSkBGvWrEGTJk1ic7xUbNq0KdHmNSvnrVixIrF/slWRSktLE9uLioqwY8cOXHvttbjz\nzjsTK0GVeeWVV3D77bfjvffeSwSM3n33XZx++ulYs2ZNhX0//PBDPPDAA/j3v/+Nq6++OuXrDJNp\n5ajFixdj8eLFlfalYObMmZP4c58+faz7Vq9eHb169cLDDz8MABgzZkzSwJJWbm4uGjdunAgs1axZ\nU/xMaWkpzj33XGzZsgX77rsv/v73vwc+/7333osbb7wxcf7yxo0bh3vvvRc9evTAM888gz322CPw\neTKFz7rNFPx+QkQUb9XSXQAiynx5eXnpLkLalM09AgDdu3cXAyLlO4TlP5sp5/293NxcNGzYMLbH\nS7crrrgCI0aMqBRUKrNixQoce+yxWL16NcaOHYsTTjihUlCpTElJCf72t79h7NixYRaZYqp8UK52\n7dri/uX3mTx5stO5Z8yYgdmzZwMA6tSpgwMOOED8zMMPP4yPP/4Yubm5+N///ocaNWqkfN7S0lIM\nHjwYl19+edKgUnlTpkxBjx49EuXMZj7qtqqoyt9PiIiixIwlIkpo06ZNYqJnm4ULF2LgwIHYtGkT\n9t13X1x88cWBz3nffffhscceC/z534s67b38ZMX77befuH/5fVasWIEVK1YEys5J13mBndkzZQ49\n9FDnlb58Hy8uFi5ciPvvvx+5ubk4/fTTcdJJJ6FVq1YoKirC66+/jpEjR6KkpASrVq3CsGHD8NZb\nb6GkpATdu3fHeeedh86dOyMnJwdTp07FbbfdlsiQuuaaa9CvX780X91vOnTokHhvPPPMM7jzzjsB\nAMOGDas0VDDIMLhMf0f4sssuu2D+/PkAgO+++w4nnHCCdf/vvvsu8ecZM2agtLQ05ZUoN27ciNdf\nfx1XXXVVIjh6/fXXVxq++XsLFixIZNFcccUV6N69e0rnLXPrrbfiqaeeSvz/ww8/HH/605/QuXNn\n1K1bFytXrsSHH36IRx55BEVFRVixYgVOPfVUfP3116hWLTt/O/VVt5kmHd9PiIhIj4ElIkrIz88X\n53BZt24dzjrrLGzatAktW7bEW2+9hfr16wc+5+LFiwOlt5tEnfZeNhwN2PnFV9KkSRPUrVsXGzZs\nAADMnz8/UIAnXefdsmULbrvttsT/d/3S7vt4cVJcXIy8vDyMHTsWvXv3rrCtV69e2HPPPfHXv/4V\nABKd54svvhj33ntvhU5xz5490adPH3Tt2hVbtmzBzJkzMWPGDHTu3Dm6i7GoVatW4r1RPkjYokUL\nL3NCZfo7wpeDDz4YX375JQDg/vvvx7nnnovGjRsn3ffjjz/G+PHjE/9/w4YNWLNmjTUb8KmnnsJd\nd90FYGem0Lp167BgwQIUFxcD2Hmf77rrLlVQ7oILLsD69evRtm1b3HDDDeprLG/hwoWJz9aoUQOP\nPfYYzjjjjEr7HX/88bjkkktwzDHHYNasWfj222/x8ssv49RTTw103rjzUbdRuf7663HPPfeo9t26\ndat1ezq+nxARkV52/pxDRKHYvn07BgwYgO+++w716tXD22+/jVatWqW7WGm1fv36xJ+1k7WW36/8\n5zPhvFdccQVmzZoFYOdk1wMGDAh0nLCOFzfXXnttpaBSmYsuuqhCp6dLly6VgkplOnToUGGy5rIA\nA1UdZ599diLjaPHixTj00EMxbtw4lJSUJPbZtGkTRo4cib59+1Yafik988uXL8e3336Lb7/9FtOn\nT8e8efMSQaU//OEPmDNnjiqo9PTTT+Ptt99GTk4ORo0ahVq1aqV6qQCABx98ENu3bwew8zlKFlQq\n07JlSzzxxBOJ///8888HOmfc+arbqCxYsCDRpqT/fvzxR6dz8fsJEVF6MWOJiNSGDh2K8ePHo3r1\n6njppZew7777Oh/zsssuw6BBgzyUbqdmzZp5O5bGxo0bE3/Wfskvv19ZBlEmnPeOO+5ITAbcqlUr\nPPPMMykfI8zjxdF5551n3Jafn4999tkHn332GQBgyJAh1uE7BxxwAJ599lkAqDQpdjbL9HeEL/vv\nvz/+3//7f3jwwQcB7FyN7/jjj0fdunXRunVr7NixA/PmzUsEYwYNGoQxY8YkAk9B3zUA8M4772Cf\nffbBv/71L+tCAcuXL8ewYcMAAOeffz6OOOKIwOd89913E3++8MILxf179OiB5s2bY8mSJZg0aVLS\nfTTDKufOnQtg54qRUoZMlMMqfdZtNgrj+wkREekxsEREKjfeeCMef/xxAMDIkSPRq1cvL8dt3rw5\nmjdv7uVY6VB+YtCyDp1k27ZtiT/n5+dnxHkfeOAB/O1vfwOwc1jdO++847Rym+/jxVHjxo3RokUL\n6z7lhyZJHaHy+wbNOMtEmf6O8Onee+/F9u3b8eijjyb+bsOGDfjhhx8q7Hf00UfjhhtuqJC5I034\nPXjwYBx77LEAgB07dmD16tWYPn06nn32WXzzzTdYvXo1Lr30UixYsAB33HFH0mNcfPHFWLVqFVq1\namXcR2Pbtm2YPn06AKBatWoV5pMqn4lV9uey/y2b+H758uUoKSmpFKhNZVilabXD8qIcVumrbqN0\nww03qOeDmzdvHvr37x/oPGF9PyEiIj0GlohI9NRTT+Gf//wnAGD48OEYMmRImksUjrfffhvXXnut\ndZ9PPvmkwsS1devWTfy5fBaRzaZNmxJ/libBNYnyvCNGjEgscd+kSRN88MEH2HvvvdWfD/t4cVWn\nTh1xn/IdX2n/8vuWH/5EVUdubi4eeeQRDBo0CPfddx8++OADrFu3LrF9t912w8UXX4zLL78cU6ZM\nqfDZgoIC67GbNGlSKbjbq1cv/PWvf8U999yDK664AsDO57dfv3449NBDK+z72muv4cUXXwSwc9Uy\nl7ltVq1alWjjJSUl+Oqrr1L6fElJCdavX68eJhx3Pus2Srvuuqt6nrWaNWsGOkdV+X5CRBR3DCwR\nkdUHH3yAc889FwDw5z//GTfddFOaSxSe1atXi79Ql805Uqb85LkLFy4Uz7F582asWrUq6edTEdV5\nr7vuOtx8880AgKZNm2LChAlOk0b7Ph5RVXTUUUfhqKOOQklJCZYsWYK1a9dWCgyVn4erfv36YmDJ\nJCcnB8OGDcPnn3+eyID673//WyGwVFRUhP/3//4fAOC0007DiSeeGOhcZTZv3uz0eQCV5pgCdMMq\nBwwYgLlz56JTp07i8NwohlX6rttsUpW+nxARxR0DS0RkNGPGDJx88snYvn07jjzySK9LfpfJ9KXE\nO3bsmPizZvLRWbNmJTo8+fn5qhXd0nHe0tJSXHLJJYn5XFq0aIEPPvgg0HLxYRzPl1SXXy8/nJCi\nkenviDBVq1YNLVu2RMuWLStte++99xJ/Puigg1Ju67930kknJQJL06ZNq7DtrbfewpIlSwAAn3/+\nuTVLpWwOIwAYNmwY/vWvfwEATjjhBNxyyy0AgMLCwsQ+jRo1wvvvv59yeZNlZWqGVZZlzpRf7TCd\nfNdttoji+wkREekxsERESS1ZsgR9+vTB2rVr0bFjR7z66qsV5vXxJU5LiZ9wwgn45ptvrPv8vrNS\nfl6cTz75BMXFxcjNzTV+fuLEiYk/d+7c2bqvTZjn3bFjB84+++zEr/WtW7fGxIkTseeeewYqq+/j\n+VR++EX5oYIm8+fPD7M4lESc3hGZYsmSJRg/fnzi/x911FHOxyw/+f/vA6zls4PKBzck8+bNS/y5\n/HDYgoICFBYWYs2aNVi1ahWaNWuWsZOuu/Jdt9kgqu8nRESkZ15+hoiqrA0bNuDEE0/E/Pnz0axZ\nM7zzzjuBh1FkksLCQnTt2tX63+8DMsccc0wiOFFUVITXXnvNeo6yCUYBOA1pCOu8W7Zswcknn5wI\nArVp0wYff/xx4CCQ7+P5Vn5C7JkzZ1r3LS4uxhtvvBF2kYicDR8+HDt27AAA1KhRA+ecc47zMSdP\nnpz4c9iTqefk5FQIhj3yyCOhno8yR1X9fkJEFHfMWCKiCoqLizFw4EB8/fXXqFOnDt58803stttu\noZ0v05cSr1u3Lk488US89NJLAIBrrrkGvXv3rjC5dplHH30U3333HYCdHaeBAwfG6rwbNmxA3759\n8eGHHwIA2rVrhw8++ACtWrUKVEbfxwtD8+bN0ahRI6xatQq//vorJkyYgGOOOSbpvrfccgt+/vnn\niEtImf6OiNqoUaMqDAs6++yzna/5m2++wf3335/4/7/PgNJke5Ypm8MIAO66667EscoHeQFgyJAh\neOWVVwAAt912Gw477DAcffTR4vHHjh2LmjVrZs3KYGHUbaaK+vsJERHpMbBERBVcfPHFePvtt5Gb\nm4vnn38e3bp1C/V82bCU+PXXX49XXnkFJSUlmD17No466ij897//TcyFsXHjRjz88MMVVpw77bTT\n0KlTp6THGzlyJEaOHAlg57A10wSyPs+7Zs0aHH/88fj8888BAJ06dcKECRMCd0h9Hy9Mf/jDHzB6\n9GgAwBlnnIGnnnoKxx13XGL7vHnzcMstt2DUqFHpKmJo5s6di1NOOSXx/99++220aNEijSWqLBve\nERLtM//GG29g0qRJOOmkk9CtWzdUr/7b17iZM2fiP//5T4WgUuvWrTFixIikxxo9ejS++eYbHH30\n0ejZs2eFeY3K/PTTTxg9ejTuuuuuxOqTdevWrZQBVVhYmPTzyZQfftqmTRvjnEF9+vTBUUcdhYkT\nJ2LLli3o3bs3LrroIpx33nmVJvyfP38+3n33XTz66KP46quv8N///ldVlkwQRt1mqqi/nxARkR4D\nS0SUMGrUqETnpmbNmhg+fDiGDx8ufi6bJsMNYp999sE111yTmBz1yy+/xH777YfmzZujXr16mD9/\nPrZs2ZLYv2XLlrjjjjuMx1u6dGliTpnyHccwz3vjjTcmgkDAzvmGjj/+eMXVA0888USlDozv44Vp\n2LBheO6551BcXIylS5eiV69eaNSoEZo1a4aioiIsWrQIwM5sr2OPPbbC3DWZbvPmzRXmL+Lk5Ho9\ne/asNC/XTz/9lPjzVVddlVgBsczFF1+cWMWqPO0zv2jRItx222247bbbUK1aNeyyyy4oLCzEihUr\nsHLlygr7Nm7cGGPHjkWDBg2SHmvevHm46667cNdddwEA8vLy0KhRIzRs2BDbt2/HkiVLsH79+gqf\nqVatGh588MHIsg5feOEFHHTQQfjll1+wY8cO3Hvvvbj33nvRoEEDNGvWDDk5OVixYkWFFS/jxGcb\nqer4/YSIKN4YWCKihPKri23cuFE9YW5VmAxXcvPNN2PDhg249957E3+3ZMmSxGo+ZXbbbTe88cYb\nSVdxSud5t2/fXuH/l5/4VbJhw4bQjxem/fffH7fffjuuvPLKxN+tWrWqQme1evXquO+++1BcXJxV\ngaXfc105rCqZPn16IosnmWRt3ue7sqSkBEuXLk16zP333x+jR4+usHqkZNu2bUnfHWWaNm2Khx56\nCCeffHLgMqeqSZMmmDp1Kk4//fQKK8OtXbsWa9euTfqZk046Cb17946qiFbpbiPZhN9PiIjijZN3\nExF5cs8992DChAno27dvpRVq9txzT1x33XX4/vvvsc8++2TFebPJX//6V7z11lvo0aMHqlX77Z/G\nGjVqoF+/fpg0aRIuvPDCNJYwHL/88kviz23bto3V/FdU2R//+EfccccdOPzww5Gfn19hW15eHnr1\n6oUnnngCX3zxhRhUOuuss/DAAw9g0KBB2HXXXSu0+zINGjTAUUcdhYceegg//fRTpEGlMk2aNMH4\n8ePx3nvv4ZRTTkGjRo0q7dOuXTtccskl+Pbbb/Hqq6+idevWkZeTiIioKsspLb+OKRFVaYsXL8by\n5ctT/lxVXgraZPv27Vi6dCk2btyIZs2apbRqTfkshNq1a6N9+/ahn3fRokVYsWKF+jzltWvXDnXq\n1An1eFrlA2gnnHAC3nzzzZSPsW7dOixZsgR5eXlo2bJlhWDdypUrsXDhQgA7hxY2adKk0uenTZsG\nYGdH3zSPVplffvklkXnRoUOHCku6/96aNWvw66+/AtiZPSLNO7Ry5cpE+bp06ZIoV3lXXnkl/vOf\n/wDYuXLg2WefbT2mZMWKFYmhg6b6yRbfffcdiouLU/pM8+bN0bRp00p/H+SZLy0txcqVK7Fy5UoU\nFBRgl112qbRqZSqKi4uxatUqrFy5EtWrV0eDBg2wyy67eM9imzVrFjZv3gxg5zxApqF6JmXXvWrV\nKuTm5qJp06aoX7++9/Kl+u5Nxmcb0XCt298L8j6dPXt2Iktr1113VU8cvnXrVvzwww+J///74dBh\nfT/RvCeJiEjGwBIREWUNH4GlbKHpMB1wwAH48ssv0aZNG/z000/W+X2IqGqpCu9TBpaIiPzgN0gi\nIspKn3zySYVfva+44gqcddZZ6StQBAYOHIhZs2YBgJgpsX79+sQy5tdeey2DSkRklE3v01Tek0RE\npMNvkURElJXWrVtXYYLXIMMoMs2sWbPUk9p++umnKC4uxm677YbBgweHXDIiymTZ9D5N5T1JREQ6\nDCwRERFVQQcccAC++eYbNGrUCDVq1Eh3cYiIiIgoQ3GOJSIiyhpbtmypsCx1edk+mTRQcfLe8mrV\nqoUOHTqkoURElKmy9X3K9yQRkX8MLBERERERERFRRtu0aRNef/11TJkyBStXrkTjxo1x4IEH4qST\nTgq84rDJ9u3bMXHiRHz00UdYvHgxqlevjt133x2HH344Dj30UO+rqsYdh8IRERERERERUcZ6//33\nMXjwYCxevLjStmbNmuGJJ55A7969vZxr7NixuOSSSzB//vyk21u3bo0vv/wSu+yyi5fzZQJmLBER\nERERERFRRvr0009x7LHHYuvWrdhll11w4YUXom3btpgzZw5GjhyJZcuWIS8vD+PHj8fhhx/udK77\n7rsPl112GQCgRYsWOO2009CpUyfk5+fj119/xYQJE/Dhhx9i7ty52H333T1cXWZgYImIiIiIiIiI\nMs6OHTvQsWNHzJkzBy1btsSUKVPQqlWrxPbFixejR48eWLBgAfbYYw/8+OOPgRcteffdd/GHP/wB\nAHDqqafi8ccfTzrEbuHChWjUqBFq1aoV7KIyULV0F4CIiIiIiIiIKFXPP/885syZAwAYMWJEhaAS\nsDOr6M477wQA/Pzzz3j22WcDnWfbtm0YOnQoAKBr16549tlnjfM2tWrVqkoFlQAGloiIiIiIiIgo\nA7344osAgIKCAgwYMCDpPieffDIaNmxYYf9UvfLKK4k5lW666SZUr87pqstjYImIiIiIiIiIMs7H\nH38MAOjZs6dxiFv16tVxyCGHVNg/Vc899xwAoGHDhonhcPQbhtmIiIiIiIiIKKMsXrwYRUVFAICO\nHTta991rr73wxhtvYP369ViwYAFat26d0rmmTp0KADjooIOQm5uLBQsW4IUXXsAPP/yA7du3o3Xr\n1jjmmGNw9NFHB7qWTMfAEiXs2LEDCxYsAADUr18f1aoxoY2IiIiIiLJXSUkJ1q1bB2DnMvGZPsSp\npKQEa9euTXcxkioqKhL7mYWFherjLVq0KPHnli1bWvctv33hwoUpBZZWr16NZcuWAQDat2+PO++8\nE//4xz+wbdu2Cvvdeuut6NatG55//nm0bdtWffxskNlPDXlVNlM+ERERERFRVfPzzz+jTZs26S6G\nk7Vr1ybmE8pEqSxav379+sSfTRNpJ9u+YcOGlMq0Zs2axJ/feustzJkzB/Xq1cPFF1+M/fbbD5s2\nbcJbb72FsWPH4quvvsKhhx6Kr776Sgx2ZRMGloiIiIiIiIgoo5TPGJIyzfLy8hJ/3rp1a0rn2bx5\nc+LPc+bMQZMmTfDZZ5+hXbt2ib8///zz8cgjj+CCCy7AsmXLMGzYMIwZMyal82QyBpYooX79+ok/\n1wKQk76iEBERERERha4UQFnYoHx/KBv8/PPPKCgoSHcxUFRUlBgZ47NMtWvXTvxZChaVDw5J2U22\n8wDALbfcUiGoVGbo0KF44YUXMHHiRLz88stYvXp1RmePpYKBJUooP9Y1BwwsERERERFR1ZFtc8wW\nFBSkNGdRFHyWqUGDBok/l03ibVJ+3qlUA4jlzwMA/fv3N+578sknY+LEiSgpKcHUqVOrzApyDCwR\nERERERERZZ0d//dfuoVThj333BM5OTkoLS3Fr7/+at23/PZUJ9Zu1KgRCgsLsWbNGtSuXRuNGzc2\n7rvrrrsm/lw24XdVwMASERFltHxh+56KY7QSttcUtq8XtgPAAss201ehYsPflyjOR/GT7HfwXMO+\nu1mOo1nHpp6wfYviGAuF7XOF7anNYEFERJSaunXrYvfdd8cvv/yCb775xrrv119/DWDnyn+/z0DS\n6NKlCz788ENs377dul/5eZ/y86VvqdmDgSUiIkqbGop9pKR0qZN9i+Icx+0t7LC7sP1r+RyPLzZv\nu93w96sNf2/7SmMKRpVhUMqNrT2agkRlkrV308wLl1mOc04L4UQAsL+wfZ58iPHf27dfJXzeFkwt\nI7VH+9d3IiKq6v7whz/goYcewtdff41ly5ahadOmlfZZsWIFvvrqKwBAnz59Ap3nhBNOSASWfvjh\nB3Ts2DHpftOnT0/8ec89NT9vZgcGloiIKDQ+ZirIE7ZL0y8eoDnJycL2TsL2ZvIpOowybzNdoylQ\nYQseSYElCo/U3pPdT9O972A7kOY78bHC9pnyIQ4QAkvSsyc9u4CcOSXVKQOlREQ22T0UDgDOOuss\nPPTQQ9ixYwfuvvtu3HbbbZX2ueeeexKZRmeddVag8wwaNAjDhw/H1q1b8dBDD+H++++vtM+mTZvw\n5JNPAgCaNWuGbt26BTpXJsqu2cmIiKjKqSb8l6v4TzyI9J9CseW/VD9DmcnHvVfff9c2XU1+bjw8\nFkRERE4OOuigxGTa//nPfzB69OgK25999lnccccdAIB+/fqhZ8+elY4xb948DBgwAAMGDMCjjz6a\n9DytWrXCsGHDAAAPPvgg7rvvPpSU/PbzxqpVq/CnP/0J8+fPBwBcf/31yM2VcpmzBzOWiIiIiIiI\niCgj/e9//8OPP/6IH374AWeeeSZuvvlmtG3bFnPnzsWPP/4IAOjQoQMef/zxpJ8vKirCyy+/DADW\niblvuukmfPvtt3jnnXdw2WWXYcSIEejatSs2bdqEKVOmYNOmTQCA8847DxdeeKHnq4w3BpaIiCht\nMiarIWbjbWJWHPo/0n2J9HfLDGkk0juAGXpERC6yfygcABQWFmLKlCm4+uqr8fTTT2PWrFmYNWsW\nAKBWrVr485//jDvvvDPQpN3lVa9eHWPHjsWdd96Je+65BwsXLsTChb8tdbHnnnti+PDhOPvss53O\nk4kYWCIiokAyJihERFlL8x7KkBgbERE5qF+/PkaOHIk777wT06dPx6pVq9CoUSPss88+qFfPvlZq\nmzZt8OKLLwKQJ9yuXr06/v73v+Oqq67Cd999h8WLFyM3Nxdt2rRB+/btvV1PpmFgiYiIKMPYOtPM\n8EgfBluJiIjSq27duknnUbJp0KABBgwYkNJncnNz0bVrV3Tt2jWlz2UrBpaIiIhiKsiqcBRfVWcK\nTyIiiodixGMoHL+5ZDsGloiIKKupvspEMFbGFlTwmeniErzgkCH5XvgODpnOF3oQSnGz2Q0gIiIi\nDQaWiIgoq6k6x649aEVkyBYoMG0LEnRwCQ6ZzpeNAacwhq1JwaBk5zR9xnosH4VXtHkGloiIiEiD\ngSUiIiIiIiKirFM1VoWj9GNgiYiIMpqUTaPKtpF2klI3FOOWMnli50zOZMrUereWWzNOTmqzipvn\n5dkiIiKirMfAEhERBaLpVEqd+ig6pnEZzhNkKJzp77dbjiXVeVzqI1O5BKqS3c9AQ+EiEkVbcX0H\nMLhFRESUfgwsERFRrEmdWy+d3wjmWPLJFnRwSa5i0MktoBNZMCiiOZZcD8H2RESUbhwKR9FgYImI\niLKal86th4hBpg7JsrFdEzNJ3Di3Fw9tloEhIiIi0mBgiYiIiIiIiCjrMGOJosHAEhERhcZH1kqN\nCM7hLA4T4igxC8VOqp9YZJ7FpL35ePY8zDFOREREacbAEhERUQQddZ8dZFtnPMqOeFXs9NuuWQqS\nSEFS7Xm8ULT5mMSviIiIKOYYWCIiIiIiIiLKOsWIxzA05ktnOwaWiIgoo0lDk7xkXUgncfy+ZPo4\nv4Zll2T3M9A91nwogjF7sRgWSERERGnHwBIREaVNFENtVOeIoIecyUGiTB7yZip73IMiobcXRQXE\n4fnM5LZHRERUVTCwREREoYmi8+6l8+t6EEXvN8jcPKbPhBV0qEqd+DACTtJ9SdbMUr338kYlDw9O\nFIEn6X5UpTZLRJS6YsTjp604lIHCxMASERHFmmvnNe6ZKb5xlS03LvWTbW3N9Xo0z+52x3MQERFR\n+jGwREREGS2SOZYkih/i4rKSG8VLoKw0Hz/8ehgKl22BNCIiIgqGgSUiIkqb2AyVcx1vw8gQRUnT\n3jy0yTgMdePgCSIiFzsQj1Xh4lAGChN/bCIiIiIiIiIiokCYsURERIHwl4nUBMm8YLZGdknlfvLe\n62jeQ0woJCIiChcDS0RERERERERZh0PhKBoMLBERUUaLZHLuNDFdG7NZMlO2tdVsux4iIiIKhoEl\nIiIiaayMh0iOrRMe5bBC27k4ZCj6IZ6m8zkHbaQ2y5tNREREnjCwREREJHXCPQSWali2+cz8kI5l\nu5RUgyqZEJvwHSjynaVjOp6tvahE0KaJiCjuihGPYWj8RyfbMbBEREQkRUhCXro91WCFbf8ogz1x\nyH6K0yTyQYJOps84B7AiaNNEREREQLy+jxERERERERERUQZhxhIREaWNJmlCSp72MjTJNUNb8TON\nbWgTf+Wpukz33joUzkeDCXneMO0pmDhFRBQmrgpH0WBgiYiIspqq/xzB0P8gQ+FM8YNMmKmAwbLK\nktVJaEPhJIpGlAntjIiIiNKPgSUiIiKJh7QpBlooFdb2ook6MSpEREREEWFgiYiIAtEMYYnDiJ3Q\nMz+UbOVg0KnqMt37OLRb1zJEEdviUDoiIhsOhaNoMLBEREShYadPJw5BBEqP0O59DBqVjznU+A4h\nIiKKPwaWiIiIIuBzKfrtLgWJiI+MNh9BhThlg6XSBpzjQhwKR0RERBFhYImIiLKal8BCyNkfpsNH\nHRuIOjskivOleo4wA1HJ7mecM5biFJQjIqIgOBSOosHvDEREREREREREFAgzloiIKKNJv5CoEjdi\nMB8NUaQUbV7ahb9OEhHFXTHikS3E8dnZjoElIiKKNS+BI1fS9yHF9yXbLql20G3H4mTIblzqR7qP\nNVL4jPU+ar6fR/Ad3kfgiV0NIiKizMfAEhERhSaKoFAkWRVStMExWmO6BgaBskuy+xlaYNRD44nD\n8yvhM0JERJR+DCwREVEgUQ2DcQ0cZcIot0woI4Uj0L2PKJoSxbPneima9xCDT0RUdXHybooGA0tE\nRJRUFIEjzTmkzqnrdhUPQ+Fs5eBcNVWX6d5b221EQ+GiePY8PFoi6fli4ImIiMgNA0tERBQaH0Gd\nIPPWpMy1d+vY+zXVE+efyS7J7megZ8RHYMlD45KePR8BU6l++IwQERGlHwNLRERERERERFmHQ+Eo\nGgwsERFVUdky/ErM+PBxoSFP3u0l60rJVh1RDwmK4xClqJ+LQPdeUzE+Kk+ojNwsGUMWx3ZIRESU\nSRhYIiKitNEMA5L28RKUkXqOIY+38Tl5t8vQobgFG+NWHsD/ROuhTdwutVkP0RLp2fPxfDOoQ0RE\nFH8MLBERUUaLZEU1D4EnW5AkyowlihfTvbcG1TSBzggiMlzNkIgo7ooRj2FonBEv2zGwREREGc1L\nVksEEx3bOuHsoFddpnvv3CYiaNNxzCgjIiKi6DGwRERE5EoRBbB1wlNdcp6/+2WmZPfTdO+tQRtG\nIomIiChGGFgiIqK08bFqupc+dgSRGls5Ux0KZzsW56RJnyBt0XTvQ48dhZyFpz0Fg6RERGHiqnAU\nDWYxExERERERERFRIMxYIiKqoqTMlqz55SGKFB5FZXGOJUom0BxLUT2cVST9rYpcJhERUWgYWCIi\noqR8BJ58DHOJpNMnnUSK/DjOscTAUtVluvfOcyxJ+0TwYGlO4WHBRS/lICLKThwKR9FgYImIiALR\ndNZ8JFa4diw1n3cO7CgOEOQcpvoLa16aVDvgmZDVFqdrSuXY1vYSUSQyimfPFYNGRERE6cfAEhER\nhcZHpy8TgheuQ+GivEafHXHbsTJ1tJZr8lqqUl0R0PqhmPExeTcDR0RERPHHwBIREaWNj6EyElXG\nUgSpFUGGwpn+frvlWFxlK1y2+pVW90t2PwMNhfNB0VBc21IUzzcREdlwKBxFg4ElIiLKaFIHPBPm\nL0q1jAwexVOQ+xLn9imVTQqkERERUdWQIcnUREREREREREQUN8xYIiKitPHx60aeh2OIQp4IJtA8\nO5Rxkt3P0H7hiyCtzUf7lK6fQ+WIiFwUIx7D0Jhrne0YWCIioqSiSGnVdEylcgSZ16YS1zXPQ/q+\nFPe04jiUL5MCE97qyzbJVhkPwVDXoXBxaB8acWojREREmYiBJSKiKipTOn3O87z4mAjGNfAkHMJn\nZhKznCry3c5916/peNYmpwlk+oiWCM9ODSHApamrOAR1Mik4SUSUGk7eTdFgYImIiEIjdSx9dPpr\nuhZCUxCpI6/IILEdItWhcLZLYic4faSmlspQOGuT85GxpHn4hAuqqSmHh2LYcHAFERFR+jGwRERE\nsRaLjCWpA+0YWDLJlKwy0knlfjoHljwEfcSMpS327ZqYLgNDREREmY+BJSKiLFSVAhLi5N0+Akse\nMpaCZBKFMazNdkx28sMdSpjKsa3txUfGkobw7EQycX4MaN6nzBQkongqRjz+dY9DGShMDCwREVFG\nE+NGmt68tI+HOZZsu3BepKrLdO+tTcrHHEsengsfMVsiIiLKfFXpR20iIiIiIiIiIvKIGUtERJTR\nxF9IovgJhRneFKWo2pvw7PDXSSKiuOOqcBQNBpaIiCijZfMwskDDpASMgdlJ9eMyR1W2tdVsux4i\nIiIKhoElIiKKNamzHkmgRErNUPSwbbuwg151me69tU1oGkwE6USxeDaJiIgo7RhYIiLKQpoVijJl\nhFgsgi5SIUIqpKn+bPeXnflwxSJbzMeE9DHhYV780HHFNyLKXMWIxzC0OLzNKUwMLBERVVFSZyku\n86dIX0XETp9maXZXisqyraAVl7qm6JnuvXXFtagajPDsZEJQSIOBIyIiIjcMLBERUVKZ0tkSO6+a\nC5EOInXkFeuuBxkKF2SOJZf7xgBXuO0+2f0MNBRO0d7Em6mJ+giV4Rz09XQMIiIiSi8GloiIiIiI\niIiyDleFo2gwsERERGmjyUaQpooRj7HNU0Fs8uRdbEkmpmtkBlF2SXY/TffempSkaG8iTZsXnh0f\n2UTMSCIiIsp8DCwREVFGi2QonMRxjiXTtkDDpATsyLux3eogc7yb7n3ocyxFMBSOiIiIqgYGloiI\nqiipbxpFACKS/rEmYymCiV5sQQdTPTCTKXpS3Qa5j7bPpnrv1XzMrC08Oz4CS5nwHmIwlogyF4fC\nUTQYWCIiykI+Ag9RBC80nWfNPMVWml6htHJcyD3oPEMZU81kAtgJTiepPSe7n8ZRba4PoNRmNasl\nOjYm52c3JjS3gs8dERFVZQwsERFRrAUZXpSyKJamshS0hsfAUhjDk7JxyFPQduMyFC7Z/TQGX1wb\nto+MJYGPZ1MT3yIiIqJ4Y2CJiCjDZNIwKKljqbkWaR8vWRFS71YaTuc4C3mu4fyma3MJbgSJkZmO\nmQkBJy+BR+XxgrRV4/Fc09KkNushoiM9ez6eb0lc2iCzmogonjgUjqKRSf0TIiIiIiIiIiKKEWYs\nERFR2miySaSV1X1npCQV8rAiU+aHj1Xlf8/2i1KqGRWudS9VWyT39nfC/MUt2f0MlHHnYUU3H6T7\no2m/UuIUs3yIiIjij4ElIiKKNeehcD7GqPiYCDlA8CnIimGZNGdNOgJHYfIx9DPB1l58tDdNxEYo\nsGluMOXHiYgodMWIxzC0uAxcprAwsERERBlNDE5oohdSD1j6PuT4fSm0JecpVpLdz0DBF017k/bR\nnFhogLlMJyIiIiIwsERERDEXZKWt1HZQnESi6WBbOvqmj5v6/vzdL56CxHKMTcd2sJBXKUwQnp0a\nQuYUA6NERERVAwNLRESU0SLJWPKB2R2UirDbi4+MJS8FISKi8HBVOIoGA0tERJQ2kWTeaHq/0j4e\netBBpswxxRZsMQcfU+tUZS71IzWTZMc23XvbfVQ1Rx9tOoLIEbPviIiIMh8DS0REFBofnUbnqWI8\nZGaEHVgybUv17ym9gkzFFeQeewksaYaICs+O69RkQOgLLhIRVXHMWKJocMEOIiIiIiIiIiIKhBlL\nREQZxsMq4V74KEdshsJJ2RseKtRl+Foq+3OoW7h816/pXjqfR2qzWTIULpPeh0RERNmKgSUiIkrK\nR0dJOoaPDp/Y942iV6noHQcJBpn+XliMKzKZMHlzlEOpgsxvZbrHzuX2cXOEZyeK+58p7yHNMRh8\nIqLocSgcRYOBJY+WLl2Kjz76CJMnT8aiRYuwZMkSlJaWolmzZujRowfOOOMMNG/eXHWsLVu2YMyY\nMXjrrbewcOFC5Ofno127dhg0aBCOOuqokK+EiOIsm8Ywx6ajlQkRknJc6i2b2k86xKLNaqJO0j4x\nafOxqE8iIiJywsCSJ1dccQXuvvtu4/ZXXnkFw4cPxw033IC///3v1mP98MMPOOWUU/DDDz9U+PuJ\nEyfi0Ucfxamnnoonn3wStWrV8lJ2IqJkpACEjw6hj3m1vQRK0jxDsOkaglwbA0fhstVvkMyYtN0v\nD23ex2g71/cM2zsREVH6MbDkyerVqwEA+fn56N+/P3r37o22bdsiJycHn3/+Oe666y4sXLgQ11xz\nDTZv3owbbrgh6XGWLVuG3r17Y8GCBahTpw6uueYaHHHEEdi4cSOefvppPPPMM3jxxRdRXFyMl19+\nOcpLJCKqIJJhbIrz5HkoR6AxTKl8PiBT/dimhAqjKDFJbgnEVPYw6kmaqstbPcZkuTXp2fMROCYi\nIhfFiMcwNK7xme0YWPIkPz8fV155Ja6++mo0adKkwrZDDjkEgwcPxiGHHIIff/wRt956K84880y0\nbdu20nGGDx+OBQsWIDc3F++88w4OO+ywxLbevXujdevWuO222/DKK69g7Nix6NevX+jXRkQUlI9O\no4/Oq0jqhG9z/LzAdI2mQAWzNNyFEdCQ7kuy+xkoMKppbyG3WSCaoK90n9hVISIiSj9+N/Xkvvvu\nw4gRIyoFlco0bNgQd9xxBwBgx44deOWVVyrts2LFCjz++OMAgDPOOKNCUKnMjTfeiGbNmgEAbr/9\ndl/FJyIiIiIiIiJKGTOWPMnPzxf3OfjggxN/njNnTqXtr7/+OoqLd/72dtZZZyU9Ro0aNTBo0CDc\nc889mDx5MpYsWaKeEJyIKG40v274mMdFJGV3SMuwKdImbOU0ZSbVDHAsCSdLdmNrj9J9SXY/Tffe\neixNmo7UZqU2r+Bj/rMo5nIjIqq6uCocRYOBpQitXbs28ee8vMoJ4pMmTQIA5ObmokePHsbjHHro\nobjnnntQWlqKKVOmoH///v4LS0Qk8BHQ0RxDGk4jzWujIvVePQSWbEzXECjo4ICdeLdApnRfkt3P\nQO3XR2DJw82Wyq4ZCifVmVRMzbPA4XJEREThYmApQm+//Xbiz126dKm0vWwVuFatWqF27drG47Rr\n1y7x55kzZzKwRJShqsJYZB/XGEnGktTz9NBJD5LpEmSOJXai0yfIHEume289liYoFHIwFIhmxcZs\nymgKWh+ZdI1ERFQ1MbAUkXXr1uHf//43AKBevXo4+eSTK+2zZMkSABCHtrVo0SLx56VLl6ZUjjVr\n1hi3FRUVpXQsIqKsEUHPzdYJN3U4TZ+xHUuKJ1B4pEBLsu2p3ntvGK0gIqoCOBSOosHAUkTOPffc\nRODo+uuvR6NGjSrts2HDBgCwZiv9fnvZZ7QaNmyY0v5ERBlP04F2zd5QpCIEGUIVJLjAVbTC5RLw\nSfbZQPfeRyqQpiEw+EREREQKDCxF4Oabb8aLL74IADjuuOPw17/+Nel+O3bsjOTm5tq/tpbfXvYZ\nIqI4iqJfKvaPfURSfIzHsxwj12NFMXAULlv9Bpkvydh0XGYJlz6vJTQmH21NOgZjW0RERPHHwFLI\nRo0aheuuuw7AznmVxowZg5ycnKT71q1bF2vXrsWWLVusx9y8eXOFz6Ri9erVxm1FRUXYY489Ujoe\nERERERERxVEx4jEMjT97ZTsGlkI0ZswYDB06FADQvn17jBs3DgUFBcb9CwsLsWjRIqxatcp63PLB\nIdvxTOcgIvJB8xXBxzwxrgu2qVIegkyOk8p2Ip807c1HmxWenQgWnhOxq0JERJR+DCyF5I033sAZ\nZ5yBkpIS7L777nj//ffRtGlT62fatWuH77//Hr/++itKS0uNmU3z5s1L/Ll9+/Y+i01EFClNx3Ob\nsF0MLGl6nkGW80plO2DtyBcbKsJUdNslcWiRG5f6keo+2XbjZ2yBH017k/bRDJUTLkh69qRnF2B7\nJCIiygYMLIXg/fffx6mnnort27ejZcuWmDBhAlq3bi1+rmvXrnj11VexceNG/PDDD+jUqVPS/b74\n4osKnyGizBS0Q+Vj6pSo+MgmkOpJ7Lz6KETIgaVUl3Kz1YlUX1FleESVxBWnjBWvQZKwA0saQuVK\nz14U8+ZnEgbRiCh6OxCPtOrohuP99NNPmDp1KlauXInGjRvjwAMPRIcOHZyPu3LlSowaNUq176mn\nnoo999zT+ZyZhIElzz799FP88Y9/xNatW9G0aVN88MEH6nmL+vbti3/+858AgLFjxxoDS2PHjgUA\ntGrVioElIsp6zhk4PnpzaRoKF0bGUlTiUg7fXOreW534GAqnITw7cQliEhERzZs3D+eeey4mTJhQ\nadtRRx2FUaNGOc0nvHTpUlxzzTWqfffee28Glii4L7/8EieccAI2bdqExo0bY8KECSkNVdtvv/2w\n//774+uvv8Z9992HCy+8EA0aNKiwzwcffIBJkyYBAP7yl78Yh8sREWUCHxkNsei8atLIAqSaBYkN\nSHWaSRlvceQSp0zpftpuVExuoo9nk+2ViIhczZs3Dz169MCyZcuQm5uL448/Hm3btsWcOXPw7rvv\nYuLEiTj44IMxZcoUtGnTxvl8f/rTn6zHadu2rfM5Mg0DS558//336N27N9atW4fCwkKMHz8enTt3\nTvk4d955J4499lgsWbIE/fr1w1NPPYXddtsNADBhwgScdtppAIAWLVrgyiuv9HoNRERR03QanRMv\nYhF5sjNdY6p/T+kVJLEt1vfS8dnRXBsDR0REYaoaQ+HOPPNMLFu2DHXq1MG7776LQw89NLFt0qRJ\n6N27N5YvX44///nPiSQNF+eccw6OP/545+NkEwaWPBk2bFhitbbq1avj7LPPtu7fo0cPjBw5stLf\nH3XUUbj77rtx+eWX4+OPP8aee+6JNm3aYOPGjViyZAmAnSu7vfnmm6hXr5736yAi8snHVxlpqhgv\nX5ekOY5CXv7KdI2mTncGJLNk7RxLLnWfbHugqZA07c21TStI99h16jGNDIgbExFRiMaNG4dPP/0U\nAPCvf/2rQlAJAHr27Ikbb7wRV1xxBSZPnoy3334bffr0SUdRsxoDS55s3/7bN7QVK1ZgxYoV1v0b\nN25s3HbppZdi3333xQ033ICPP/4Yc+bMAQDUqVMHJ598Mm699Va0atXKT8GJiIiIiIiIMtBzzz0H\nAKhZsybOP//8pPuce+65+Mc//oHNmzfjueeeY2ApBAwseTJq1Chs2LBBvb+UbXTkkUfiyCOPxMaN\nG7Fo0SLk5+ejRYsWqFHDxzIvRETufGSkaLJragrbxbeipqBS2kPI2R+mejBde57lWHFIeI9SnK7X\ndl+A5PczUIaZpr1J+2hSfYTKrSGcQ3p2Afn6peQsH483EVH2KkY83oLhleG9994DABx44IGoX79+\n0n3q1auHHj16YOLEiYn9yS8GljwJa4KuOnXqpDQBOBFRnEidRk2nUAocaTqvIqn3Kq2rLm0XmAIS\npmu31YlrR53sbPUrtdVk26VgVFKa9ibt46EhOAd94R4YZHsmIqq61qxZk5guZt9997Xu26VLF0yc\nOBHLly/HihUr0KRJk8DnnTt3Lp5++mmsWLECderUQZs2bXDwwQdX6alqGFgiIqK00XQqnTuvmpQQ\nqRO+RdgeUsZSqgEnwK2jzk66WzBUaovJ7mdoGUtSm9UEp4TC+Qj6Su01Dr+zExFlrmKEPXG2zm9v\n86KiIuuehYWF6qP+8ssviT+3bt3aum/5qWR++eUXp8DSxRdfXOnvatasicGDB+Pf//53SteQLRhY\nIiKipKIYYqTpVEsZHV6GwkkRlZCHwpmKGCRjidInSMZSoOfMx1A4TRRRGgonfFyTjRXFZPMMXhER\nxccee+xh3V5aWqo+1rp16xJ/Ng2DS7Z9/fr16nP8XpMmTbDffvth1113Rd26dfHrr7/igw8+wNq1\na/HII49g3Lhx+OSTT6rcnMgMLBERUWiimIdJ7Lz6KITUCdf0TAOkA5mKbrskl060qa6zMZMpaEDD\npe5Taoq2Sg+pvVUiFFh69nwEjaQ6y8a2SUREOps3b078OT8/37pv+e3lP6fVtGlTTJgwAUcddRRy\ncnIqbFu/fj2uvvpqjBw5EvPmzcOAAQMwefLkSvtlMwaWiIgoKanv6mPSXB9zsIidV03vVtpHuhBN\n75ZpEZQKW3vx0d48PBc+5lCT+Hhs+OgRUdW1A9Hkhkp+G473888/o6CgwMtRa9b8bdD1tm32Md5b\nt25N+jmtJk2a4Oijj066rV69enj44YexZs0avPDCC5g6dSrGjRuH448/PuXzZKo4tDIiIiIiIiIi\nynIFBQUoLCw0/peKVIa3lV/BPaxJtq+77rrEn999991QzhFXzFgiIqK0iWQYiyZtwusYJgNL2oRp\nU5BMC5fsjKo0rMh0ra7Ja6l+1ng81zQbH206gonWqlKbIyIiv3bffffEnxcsWGDdt/z28p/zqXPn\nzqhZsya2bNmCefPmhXKOuGJgiYiI0kbTd3YexqLJzQ0y63Kq57D0oE3zLJv+nkN74km6L8m2G+fY\ntkVcomjT2vNYRPJ8ExGRRfyGwvnUqFEj7LLLLli+fDm+//57675l2xs2bIimTZuGUh4AiXmVUpmE\nPBswsERERIFE1SGUMhq8ZDxIsxBLQ/EVmR22+jIFF0yzBdgW/PIxHVRV5lI/0kJsW1L4jO0+5moy\niaQ267iSIeDn2XRtrwxMERFVbcceeyyeffZZTJkyBRs3bkSdOnUq7bNp0yZMnjwZAHDccceFVpbZ\ns2cnJgZv3bp1aOeJoziEL4mIKEsVC/+VKP6TjrFN+E+lmvBfDeE/6fPCv7bbPf5H6RPZfdS0t5Db\nLCA/e9Kzq3kHSJ8nIqKqbeDAgQB2Bo+eeOKJpPs89dRTiTmWyvYPwx133JH4c5gBrDhixhIREaWN\nj46hlwwc1/loHOeiMdVDkGwWZiSFy1a/UntOdj8DPQMxmTfMRzYRg0NERGHK7qFwANC3b190794d\nX375Jf7xj3/gkEMOQdeuXRPbv/32W1xzzTUAgP322w8nnXRSpWMsX74cjz32WGKf3r17V9rntdde\nQ69evVC7du1K27Zv344bb7wRo0aNAgDsu+++6Nu3r4eryxwMLBERUWhiEeTQFEL6zuVhXXVbBzrV\nybtdghs2EczVHHthTn6eyuTdzkPhXNs04PwAa4rp+o6IQ3eJiIjSJycnB08//TR69uyJNWvWoEeP\nHhgwYADatm2LuXPn4qWXXsKWLVtQUFCA0aNHJ+ZAKm/x4sWJ4NPQoUOTBpb69++PmjVr4pBDDsGu\nu+6KZs2aoWbNmvj111/x7rvvYvHixQCA5s2b4+WXX0a1alXrXygGloiIiIiIiIgoI+2111745JNP\nMHjwYHz11Vd45plnKmzfb7/98OSTT6JTp06Bz3HKKafg/fffx4QJE5Juz8/Px6BBgzBixAg0adIk\n8HkyFQNLREQUGh+/1USSReOaNhHSeB5mEGWXWN3PCNIJfSRWERGRi2KEOQxNL/yBz507d8aXX36J\nL774ApMnT8aqVavQqFEjHHTQQTjooIOsn23atCn+9re/AQB69OiRdJ+XXnoJO3bswOeff465c+di\n8eLF2LhxIxo0aIC99toLPXv2RGFhoffryhQMLBERUdpoOp7SquheOqZBJsdJke1aTYvSma7dViex\nCl5kIJf6k9pqsu2me28th+b7udRmPXzHl549qT4A9/bKOZqIiKi8Aw44AAcccEBKn2nevDluu+02\ncb/q1aujZ8+e6NmzZ9DiZS0GloiIKBAfAQxNUEhaNd3UMU+J1Al33Q57faUaQLJ12KU6jcW8VxnM\nVr9BAkumz1ifL02g00OblUjPnvTsAu7tVfMeYvCJiIgoXAwsERFRaDzMeS12TjWdV5HUyd7i+HmB\nKbhgujbbNbsE/Bh0cmuzQdqqJqunEk17C7nNAn6eTdcANdssEZHNDgCVJ6uOXhyG41GYGFgiIsow\nPhY5yyT5wvZAHfPfkzrhUoVuczt9XAJLJtnYeTfdUqn+YhFY0rS3jcJ2qc0rSGWXnt1sko3PCBER\nkRYDS0RElDaaIIg03EbsmGuibK5zLDlG+/IMnzcFKlyGwnFYkBuXoXDJ7qexfdtOpGlvPuZYEhqT\ndL2aYarSO4DtlYiIKP4YWCIioljzMZxOJHXUpU66Y8ZSqtkzXrK0yDvpviS7n4GyCzXtzUcwVCA9\ne9mUOUlElJk4FI6iwX/ziYiIiIiIiIgoEGYsERFRrIUxZ1DcmK4x6DxAlB5BMniy+V5m87URERHR\nbxhYIiKitNHMnyLt42UOFil/N+TxeKZr4ITA2SXZ/QzUfjXtzbVNK/h4NjmHEhFRmDgUjqLBwBIR\nEYVGCoxo+sfSVDHiquma6IxUEGm5L8dJj0xFNHW6bZ1xBqPCZavfIIGWQPdL096kNqs5sbCP65z3\nGmzPRERE8cfAEhERBaLJNPCx4pNzYEkjyHJe5WmWv7IwzcVsujbbNbtkkVSlTnwY1xqkrQaa913T\n3qQ26+HB2erhFK4ZS8x4IiIiSj8GloiIKDQ+On1bHLerCuEaWMpXnMPCFOQII7BUlYJHQbjUT5DA\nUqDzadqb1GbFBwdiY3J+NiFfPwNHREQuihGPoXB8m2c7BpaIiLKQprMah2VBfWQsiRkfPobCBVlH\nPoV9ig1lNF1btmQdSfc/jpM/uwyFS3Y/jZ+xXbwmY8lHmxUak/TseYhdxUImPVNERETpwMASERER\nERERUdaJy6TZcSkHhYWBJSIiShtNJoCUFSHO4+IjJcI1o0mQ6qpwLlkzQQTJHPJRDh/zeLkcO1VS\ne/a2Kpwm3dBHupdQOOnZ01ybVGdxyKwkIiIiOwaWiIgobXx0GsXgVFzWPLd09HMNPXRT/bCzHU/S\nfUm23dgswh4H6OG58DFEjG2ZiIgo8zGwREREoZH6xppOpTSdjHgMD8uqhz0jtinhyXTttgSpuMxL\nFJdymIRRPilxLdn9DJTspmlvPtqssI/07PmYCoqTexMRuYjLELS4lIPCwsASEREF4qNjrjmGtLiV\n4yi0nVyXt9L0bi29cFMHvLbh7+sEOw0ATkTsyla/tvsCJL+fxuCL7USa9uZjyTaB62KKgPwOkNqr\n5h3C4BMREVG4GFgiIqLQSEEOTVDIFFwpo+m8iqTJYjYJ2x076abV403XZrtml4Afg05ym7XVr9QW\nk2033XsrTXuT2qw4OZlMul7p2QXkd0DIyYJERETkAQNLREQUGinI4SNjSQwsacbbua6brumkWy7W\ndA2mjrmtwy7Vqa2jbqqqbOy8B53bx1a/UiAl2XZj+7WdSNPepDYrtXlArCTnZxPu74hsbJtERP7E\nZQhaXMpBYeGciUREREREREREFAgzloiIKG0yZo6lkIfCmebZCTIUTmKrc85F4zaUMEgGj2aC60o0\n7U26kAyZY4mIiIjij4ElIiKKtSArbVWg6blK42mkYUOO89WY0oeDrAonpSIHCR5l8hA536nZtuMF\naauByqdpb1Kb1dw84dmRnj0vQV8iInIQl5+M4lIOCgsDS0RElDaaTrUUFxKP4SMlwkcExeN3KmZ5\nxJPX++LaXny0WeGCXCY61x6DiIiI4o+BJSIiCo2PFZ0i+Y1L6t2G3Ps11QN/38suye5naFlfaW7T\ngK79StfPZ4CIiCj+GFgiIqqipA5dXDIJpFE/HlZNl8f0SJPFOBbC1Hk2/b3tdGEEKjJhyJuJqexB\n27etLqRmkOx+BgqcaMaYSW3Ww02N5NmMQCa3byIiux0AStNdCPBnguzHwBIREQXi4yuC5hjOnVfN\nSVxnIdZMhGzpvZquwXRYlw47v9rZSfVjG94l3Zdk99P4GVu0w0dgSdOIhMrwEVhyzWpkeyYiIkq/\nuPwgTUREREREREREGYYZS0RElJSPoXJSNoEm20BKBvKwarqcAVJH2L7J7fSmazAd1nbNLhkcVWlI\nUNAhcrb6ldpisvsZqP2KSyFCbrMeHhwfz6aPd4SkKrVrIqKKOBSOosHAEhERBaLprEmddB+rpoud\nVx9D4fIdtwtSHQrnElhiJ9vOpX6CBFoCDWvUtDdpH81wOqExSdcrPbuA+zxMbM9ERETpx8ASERGF\nxsf8KEEmRE6ZlAEibdesq24pqKkDnmrACWBHO2y2+pUCLcnupyb4Uommvbm2aQXp2YtijiUiIiJK\nPwaWiIgobTT9Y0kkHU8p9crxQkzXYOqYZ0tCuctE2XEUJNBibL+2g2kqJoJZNH08e5l2j4mIMktc\nvjHEpRwUFgaWiIgoND7iMdI+Yv9Z0/uN6dJUpmtjZzyenNuqlqa9+WizwjHi8Hwzo4mIiCj9GFgi\nIqJAfHSSNdO81Ba2S6uqe5llXBqv5DhRjKkeTH9vu+ZM6ohnYoDMVr9SW0x2PzXPQCU+JifTBJaE\nxiRdr/TsAgGvvxzN4x2nNk9ERJSNGFgiIqLQSIEDTadSWtxKDCxpohdSR11a9c1xhS1TPZiu3XbN\n0tQ5tngDO+ByoMJWv1JbTHY/QwssSW1Wcwzh2Qlyvb8nXb/0+HJwBRGRTTHisSocv2FkuwhG4BMR\nERERERERUTZixhIRESUVxS8PPobCiVkRmowlKeNovePnAWtqRapD3mx1ItVpkAyPbPydMej8Vbb6\nrSd8Ntn9NB7PdqM2CieyHvj/aNqsUBnSsxfFUDiNTBoeSkRElIkYWCIiorTRxHycO6+aCJk0LEjq\nyDsOhTMNrzJdm61Owpi3yFSFmdAh9x0gtdVvkDmHpKGLSWnam9RmNUPhhMpzDvoiM+fZIiLKHDsQ\nj0FKmfCNgVwwsERERGmj6VRKnfVI5liS0nxCmmPJFHRwmbzbVh2cr8ZtlTKpLSa7n4EydjTtTTqw\n5ju+4xxL4rMpn4KIiIgyAANLRESUNprf0Fwn91WRIipS4EmT/WHpyJuuIdXV4mzH0jB9NhsDTkHr\nyfY5qa0m2248ni3wo2lvW4XtHn7A9jE5fxx+Ryciyl7MWKJoMLBERERJSV8Bovqa4pJBotvBg2yM\nvFB8RdXehGfHJTsuSuzOEBERhYuBJSIiijWpD+2l0yj1gF23C0zXGHW8qirFx0zXGmYwJNk5A9W5\nppARzIotPXtVqT0RERFVZQwsEREREREREWWdYsQjb7M03QWgkDGwREREaaP5qiNNJ7PNx0lcx/Qo\nskNs2Ruma0z17zWYRWLnUj9BpuIKdC812UjSPpoLFZ4d6dlznHqMiIiIMgQDS0RElDaavq20AJY0\nR7FKkOW8ynNcFc7UQTetGG87nUvQySSTO/+msgedestWv1IzSHY/Tffe9mzkapZbqyNsFyOyMunZ\n0zwWDHQSERFlPgaWiIgoNFKn0UdgSey8ak4iBY5qC9tNEaBybElPpmCFqeNuO51LnUcdQJLKGuZ8\nR0Gv1VZmqRkku5+me2+9dk1gSWqzGsINcn425VMw8ERE5GQHgJx0FwIcCpf9GFgiIqJAfIww0xxD\n6qyLnVfNSaRhQ1L2x3rFOSxM12D6+02WY0kZS5mUfaQJKvgOPkn1Y6tf230Bkt/PQMluPjKWPIxT\nC5KhleIpQv88ERERuWNgiYiI0kYTOAgyb03KpMCStF0R3Qgyx5Kp424bxeQ4Ks+bbM00sdWvNLos\n2WdN9946FM7HqnAeVo3z8WxmazshIiKqShhYIiKi0EjZBD4m7/bSMZU66lLqVdAJewSma7PVWzqH\nl1UFLkMJvQVRNO3NdUJ6Bel6fEzezYwkIiIXHApH0QjpqzAREREREREREWU7ZiwREVHaaH7diCTD\nJqbjcUzXbqs3aYQTM0Dc2Oo3giQhfyJo85rr5S+cREREmY+BJSIiSpuYTBXjPqbHcaInUz2Yrs02\nd7M0r7M0wbQvmnubicP2XOo+2f0MdI2a9hbBGFIfz2Yc7zERUfbgUDiKBgNLREQUGikbQdPxDNJZ\nT6kQgJzGI82I7RhYMl2DaWGvepZj5Qnnsl1K1NlMcQwqSM3FVr+2+wIkv5+BAqOa9ia1WQ/LOkpl\n1yxeJx3Dx8qSREREFC4GloiIKBAfw9h8BJY0nVeR61Jqjp83XUNtw9/bVpLPdyiH6Z5mY+c96BAs\nW/3a7guQ/H4Gar+a9ialpnlYPtDHs+lhwUVRNrZfIiKiOGFgiYiI0kbKrgHMwZUykQSWpAyRjW6n\nN11DkIwlqSNu2x7TqaYi5VJ/QTKWArVfTXuTDuzhZkunkJ5dQPcOICKigEpL4jEKLQ5loFAxsERE\nREn5mIhYOoYmu0bKAvEyx5Jr9objULhUM5ZsHXov9UFGtvoNEmgJFFjStDfHYKeG1NakZxeQ3wFR\nTO7NjCYiIiI3DCwREVFopOCTJlvBeaiMptfoGlhSZH/kWnrI+YYymoIOtmBEHOctyia2+g0yNMwU\nWLG1F1W2kYehbtKz42Ooq/QOkM7BoBAREVH6MbBERERERERElG1KEI8IfBzKQKFiYImIiNJGM8zF\nOWNJk93hOJRN9YXJUtBcw+dN1x7F8KAoSLcm07KvgqyCaLxG28Vr2ptrmwbEG+QjYylb2jIREVFV\nxsASEVEVFYcOnY+Je8W4kSaw5BrhcFwiL9dHECBmfEwErjlGpgWffi9QYMnHw+vhufBxj+MwebdU\nnfyhnYiIyI6BJSIiijWp8yp2bn30Cn2sie4xkme7JJf6ysQOdNCYYNBrjaz+bO1FE42R2psmKiRc\nkPOzSURE4SpGPF7GcSgDhYqBJSIiijUpmWerdIBtipNIgSFpVmbHoXAmpmu31UmUwaGq+D3RVr9S\nW00pMc1llnBADixpCiM8O9Kzl4WJeERERJQEA0tERJQ2Pha38rH4ldhRl9ZN1wSvAnzcdG22a5aK\n4pLtlIl8X5OtfoO01UBNx7SUXHlSVpOHqI+PZzMb2xwREVFVw8ASERGFRuo0avq2m4TtkQSWavs4\niZkp88N07bZrljKW2JG3c2mzUltMdj/FjLtkNEPhpDbr4cEJcr2/J70D2F6JiBxwKBxFJA5ztxIR\nERERERERUQZixhIREaWNJmlio4djiFyHwmkmNrL8WpfqUDhbnUgZIEHmYMrGX6GCzkVl+1yQtmoc\nCmf7dVczx5LUZjXpRALp2ZPqQ3MMIiJyUIJ4rMwRhzJQqBhYIiKiQHxkNfsYCudlgmCpoy5t1/Sg\nLV+qUp1LydYZZ7Z5uGz1G2TOIeNnbF/CNZE+1zatID17PobCcWgnERFR/DGwREREaaPJVpD2ETuW\nmvloagjbfaTsWAqa6upvts62tPhcNmYfBRG0Hmz1KwVBkt1PY2DFNWIiXaDU5gHx2SkWHk4fzzcR\nERHFHwNLRERZKC7BA6lvrOk7Z01GguVCTAGJINcel3ufrVzqN9n9NAajsqDh+3i+41ANmnvOUR5E\nFEucvJsiwsASERGFRsqekbYDcsKReAwfkZYgqSgpHMNURFNSiW0Uk5SIYqsvfu+T25OtfqXRZck+\na2yetjbn2N7UhGdHqitNsqDrO4JtloiIKP0YWCIiorTRTPOS7+EYIqmjbpxhWfl5ganzHCSwJNVH\nkDhbNnbeTXUu1Y9L3Se7n5rgaiWa9hZymwXk65WeXc0xiIiIKP4YWCIiIiIiIiLKNqWIx1jd0nQX\ngMLGwBIREQUSKNPid2or9qkvbBfnINZ8oZJmEJZOImWHANZUmJqGMppWjLfVm2b4EQVnq1+pPSe7\nn8aMHVvqlKa9SUuyaWbNFp4d6bGQnl1A9w6w0byHsjHjjoiIKE4YWCIiotBIw4pMgZPypI6nGFjS\n9Co3CtulC9EMK7L0gE2BJdO12+pNs9hXFKL6gTTqycpt9Su152T30xhYskVMNO1NatPSdkB8dqS2\npgkaSXUm3d84/BBPRERU1TGwRESUYaLqSPvISJKOoel41hO2i3O0aAJLUnaHRJP9YamM2oZAQZCM\npbgElrKVrX6DZCwZP2N7eDTtTaJp88KzIz170rMLyHUmvUM0gaUoJgDnynFEFEtcFY4iwsASEREF\n4iPApZm4V8poiGQonETzhclSYaZrMHW6XVaFs1VHqt/74tBRlspgqvag33FdVoVLdj+Nx7M9YD5W\nhYtgKJwmI9F18m4GdIiIiNKPgSUiIgqNlCmg6VRK+/jIRsh1DSxpereWgprm7TH9va1D7yPTjMxs\n9SsFWpLdT+OcTbYTaRq1FHxStHnpNJnyfBMREVG4GFgiIqK00cRjpH28DA2UOuFS79Zx/JnpGkx/\nbytOGIGlTM74MJU9aLtxqftk5wxUDs0Nkdq0JutJ4OPZjHqOLCKiKoVD4SgiDCwREVHaaIIg0j6x\nyNDRfGGKyZeqmBQjtmJTP7aCxKSQPp7NWDy/RERE5IQ/FBERERERERERUSDMWCIiyjCaUTCZ8quB\nj0Qf13lgAMhD2aQK1ZzEcuNMm0x/b7vmTLn3mcpWv1JbTHY/jc3C9qD7SPNRDN+U5h5zfTa1+2SC\nTB4uSkRZrATxeEHFoQwUKgaWiIgobTTTvDhPBaOJtEgzCEudcE0hLT1oU/99m+Hv+f0snqT7kux+\nmu59PdeIi+us2ACwUdguXHAkzzcRERGlHQNLREQUGqlvrFmMTdpHDLIYl90qJ9k68OX5yBAJEFja\nlOL+gFwfQRYbM8XmMiHAlWoGl3SrbdcstdVk99P4GdvDo5ks3jVYCgDr7ZtLhAv28XxnS0YTERFR\nNmNgiYiIkoqiQ6fpeJqCK2XEjAdNB7qOsF2KTijSLootEQlTPZgSRmz1xo54uGz1K7XnZPfT9Blb\ne8nVBDqlYKkmKig8O9uFC5aeXcA9sKS5DD4TRFRlcVU4iggDS0REWSiKeZh8fEfYqthHGo1jGi6W\noOmEu2Z3KHrQQQISpsPa6iTKoUW2NhRVNlPUc0rZ6ldqq6lkLNnaS66PYKmmoQjPjvTsSfUByO8A\nqR1F0VfJhMw8IiKidGJgiYiIQiN1+jQdT+eMJR9zLOUL2xUd/SBDqFINOAGKQFtEsnUScVv9Sm01\n2f003WNrMEMTWJIyljRRXeEmSs+eJmNJegfwR24iIqL4Y2CJiIiIiIiIKNuUIB4ReqZ+Zj0GloiI\nKDQ+hrFIGThevi9JGSDSBOCaDBILU+ZHkMm7ucpWuGz1G2Ty7kD3S9PepDbr4Uu+9Oxpsudc51DK\n1sw4IiKiTMLAEhERhUbq9Gn6ttI+Ysfcx69kroEngalzbfp7l8BSHH64jDOpflwCS8mOHeh+aNqb\n1GY1M+cLz47U1nw83wwcERERxR8DS0REFBqpb+uY6KMTRSRF0fv12UG2XRIDR+HyXfem+bGt7SWq\naEsEjcn1HcEMPSIiixLEYxhaHMpAoWJgiYiIAtEstibtI82ZDXgIPmk6x65pPoovTLa6MCWgmD6j\nqXuKnnRfkm0PdI81X9BdUq+0xxBonl3pHSDVqY+qICIiIjcMLBERUWikjqW0cJVmHzHIoul5SsOC\npFXhFD1XWzlN9WT6e1tnnEGncNnqVwqSJLufpntsvY+aSInUpj0MhZPamo/nmxlLREQOihGP6Hoc\nykChYmCJiIjSpo6HfcSsJx+dcOkkmnNYhi/VMHTgTZ1uW2dckwVGwdnqVwqSJNtuDJzYhrtp2ttW\nYbsmsCScR2prPp5vIiIiij/OiUhERERERERERIEwY4mIqIqKYjUmH3MsuQ6VUZGyNzYK26XsEIGp\nHkx/b8vycJ2zJplszGAPOmTQVr9BsusCZZhp2pvUZjUZSwIfQ13DaK+p4pyyRJS1OHk3RYSBpRBs\n27YN3377LT7//HMsWbIEANC9e3ecdNJJKR1n+fLlGDduHBYuXIj8/Hy0a9cOvXr1Qn6+NNkHEVE8\n+AgsOQ+F03DtZDvOV2OqJ9O12zrsUmfeFjA0FdFUvkwIOKUamJACqi51n+x+Gstn+xIuBY0A+eZ4\nCCz5GAoXh8ASERERuWFgyaM777wTL730EqZNm4atWyv+nDhkyBB1YGnz5s3429/+hoceegjFxRW/\nGRYWFuKee+7BWWed5avYRERpo8k2kjrrXgJLrqvCKWYQth0i1Um6XTKWTCvQAcA2w9+nGnACogs6\nBQ08mAJItvoB/Gcsme69rf5yPcyP5OPXY6mtaTKWvGQcEhERUVoxsOTRa6+9hqlTp6JGjRro1q0b\nunXrhkcffTSlYxQXF+OUU07BO++8AwDo0aMHjjjiCGzcuBGvvvoqFi1ahMGDB6OoqAiXXnppGJdB\nRAQgmqxlTVBA6uiLHVPNSVyXljJFZMoJEmgxBT9sHXqpsx9kiKPpM7Y2oql2qU58ZKuker3S/lHV\nvXNgyccDLNyAGsJzIz27ilOINM8VR2AQUZXFVeEoIgwseXTVVVfhzjvvxH777Yf8/Hxs2bIl5cDS\nvffemwgq3XjjjbjuuusS22677Tb07dsXEydOxBVXXIHjjjsOHTt29HoNRERR0nS0pX3EwJLmJNIX\nHg/DioLErkydbts1uwwtinrIWzqHOZnO7TJ8U2qLqVyvrb3keRjGpiqM8OxI1+vj+SYiIqL4Y2DJ\noz/+8Y9On9+6dStuvfVWAEDPnj0rBJUAoE6dOhg9ejT22GMPbN26FTfeeCOee+45p3MSEQUVQUKE\nep/QCRdbrKiMIPVl6nTb6kTqqMeiPmNMqh9b/bp89vds7UXT3nKlfSJoCFE838xGIiIiSj8GlmJk\n/PjxWLVqFQDgoosuSrpPixYt0L9/fzz//PMYO3YsNm/ejFq1akVZTCKiSDlny/jo3boOlYP9Onxm\nBPkMblRFUQfmTPc+9FEDEQSWOPKBiCjNOBSOIsLvlzHy/vvvJ/58zDHHGPc79thjAQCbNm3CZ599\nFnq5iIiIiIiIiIiSYcZSjMyYMQMAsMsuu6Bp06bG/fbee+/En2fOnJkINBERRcnHLxM+Jt4Vh8Jo\nTuI4WUxYyR+mRKm4/PBnq5aqOETJw+KBKqr2Jj2gmgdYmJTe+dmEe1vWXEZVbItERFXVtm3bMGvW\nLKxcuRKNGzdG+/btkZ+fH+o5p02bhqVLlwIACgoK0KNHj1DPF0cMLMXIvHnzAACtW7e27ld+e9ln\ntNasWWPcVlRUlNKxiIgkUQSfIgmySDNia+a8sUy4bPq46e9tAQopeOGzk52NHXbpmnzXvel81uCR\n1B61+ziK4tlkaj0RkYNSxOMf69LwT7Fp0yZcf/31eOyxxyr0eQsKCnDOOefgpptuQp06dbyf9+ef\nf8YhhxyCTZs2AQAOOuggTJkyxft54o6BpRhZv349AKBu3brW/erVq1fpM1oNGzZMvWBEVCVF0aHT\nfNeROuviAlmak7gu56U4R40AK3mZOuYuwQ1y41L3qQRarE3SR2BJU5hN9s1Sk9a0xSj6O9K7LA59\nLiIiCm79+vU44ogj8M033wDYmYixxx574Oeff8aCBQtw9913Y8KECfjkk09Qv359b+ctLS3Fueee\nmwgqVWUMLMXI5s2bAQB5eXnW/cqn8pV9hogojqR4jKZvK3VOxc6r5iRSQaXAkyLD2ta5TTWAZOvQ\nS539qCYRj7ugk2a71H2y+2k6nzUYosnol9qshlAZzs+mfAquYkhERKKhQ4fim2++QbVq1fDAAw/g\nggsuQE5ODkpLS/Hoo4/ioosuwvTp03HuuedizJgx3s47cuRITJw4EXvvvTdWr16NxYsXezt2pmFg\nKUZq1aqFdevWYds2+6QGW7durfCZVKxevdq4raioCHvssUdKxyOiqstHh08TyBCmeYkmsORhWJH9\nJ4PkTNfuO7ghyeSMDlPZTYEblww5qe6ltlyetb34yFjyMAGSVFea63UNZmreQ1UpYEpEVEEVWBXu\n66+/xvPPPw8AuPTSS3HhhRcmtuXk5GDo0KGYPXs2/vOf/+DFF1/EF198gQMOOMD5vPPnz8ff/vY3\n5OTk4NFHH8Vpp53mfMxMxsBSjNSvXx/Lli0Th7eV315+WJxGYWFhoLIREQXhYzJjn511Iym7w0cn\n3ZKCUmz4fBgZS7b6yuQAUqpM1yq1p6gylqwpS5oopdRmPYyZdKkrbTHi0B8iIqL4evLJJ1FaWorc\n3FxceeWVSff561//invvvRc7duzAk08+6SWwdN5552H9+vW48MILcfDBBzsfL9NxTsQY2X333QEA\nCxYssO5XfnubNm3CLBIRERERERFRLL311lsAgK5du6Jly5ZJ92nevDn222+/Cvu7+N///of33nsP\nLVq0wG233eZ8vGzAjKUY6dy5M8aPH48VK1Zg6dKlaNasWdL9pk+fXuEzRETpoMkkcFlhq8xWYbuX\nLBspY8l1uyDV1d/CGgrncz6bqDJNfM/BE+ZQuGTHDtR+Ne0t5DYLyGWXnl3AfRVDZjQREVlk+VC4\njRs34ueffwYAdOvWzbpv9+7d8cUXX2DevHlYv359yiN/yixatAh//etfAQD33Xef18nAMxkzlmLk\nuOOOS/x5/Pjxxv3KttWpUwc9e/YMvVxEREEVC/9tUfy3TfhPOgdyFf/VEP7LE/6rpvgvQD1tD/Cf\nVB8llv9SZa33iIj3P0W2+ikRzuXzfllp2pvUZqU2XwPicyPVvfTsboP8/Pu+v0RElD3mzp2L0tJS\nAMBuu+1m3bf89tmzZwc+5wUXXIC1a9eib9++OOWUUwIfJ9swYylGjj32WDRp0gQrVqzAgw8+iDPO\nOAM5OTkV9lmwYAFef/11AMBJJ52EmjU9zChLRJSEFGjQ/DLhY44l56lgNCkt0j4+foaxVKjpGoOu\nXGbjY7GwMrZqy9ROv0v9SNecbLuxfbum4kltVjNPk/RcCA+nj+fbRzuqSnOHERHFXVFRkXV7KnMC\nlz9WQUGBdd/y29euXas+R3mjR4/Gm2++ibp16+LBBx8MdIxsxcBSjOTl5eG6667DpZdeiqlTp+K6\n667DzTffnNi+bt06nH766di2bRuqV6+O66+/Po2lJaKqTtNZk/bxMbmvyMewIamDragM20THPgNI\nUrzAdqke5nOOnO+hcFJTCLK6X5lk99N0j23tJU/z8PkIlkqVITzAPibnly6VQSMiIougKcm+lSuD\ntAp5WQaSxqZNmxJ/lhIuyq+mvnHjRvU5yixbtgyXXXYZAODmm29G69atUz5GNmNgyaOvvvoKr776\nauL/FxcXV9g2fPjwxP/Pz8/HddddV+kYF110Ed5//32MHTsWt9xyC9566y0ceeSR2LhxI15//XUs\nX74cAPDAAw+gffv2IV4NEZG7IBkc3vnIWJIoLsT2vc60zfT3tuK6TK3jM7DkYxl430EjDZf6CxJ/\nTPXeA/Dz4ETxXCjE4h1BREQZqUaN3/5V3rFjh3Xf7dt/+5aTl5f6z0QXXXQRVq9eje7du+OSSy5J\n+fPZjoElj7755hvccsstSbdNmzYN06ZNS/z/OnXqJA0sVatWDWPGjMHw4cNx3333VfrcLrvsgvvu\nuw8DBw70XXwiIu+kfqmPfmskwQepd6v4NTBIB9mUVGILbkgDpG31ZTpfWD92piNwVMZ0rVKZbPUr\nBaVSGVFpbS+aGxJBRCaK5zedbYSIiPz7+eefxWFrWnXr1k38uXz2UjLls5TKf05jzJgxePnll1G9\nenX897//RbVqnKr69xhY8qh79+646aabVPvaoqT5+fkYMWIErr32Wrz//vtYsGAB8vPz0b59exx1\n1FGoXp23jYiIiIiIiCzistJBuTIUFBSkNI+STatWrRJ/XrRokXXf8ttbtmyZ0nnK5lM64ogjsHTp\nUrz77ruV9tm8eTOAnfM3lW3fbbfd0LFjx5TOlakYofCoa9eu6Nq1q7fjFRYW4tRTT/V2PCIinzS/\n1Uj7+Jj+yMtvRq5jwGwT4vwfW5KJ6RpMP0HYsmZcMpbILWNJqvtk9zNQlpiivYlt2sO4xzg835rn\nPw7TixARkX8tW7ZE/fr1sW7dOvz444/WfWfNmgVg58ihXXfdNaXzlE1xM2HCBEyYMMG6748//og/\n/OEPAHYOn3vggQdSOlemYmCJiIiS8hGwkUaw11EcwzlQovmlTtNRt3HspJs616Zrj2o4VtjiOMeS\nS7BEaqvJtgdahc7HcmuaNi/cIJcgXBnpHeAyWXoZ6Z4y8EREWSuGk3f7dthhh+Gtt97CpEmTsGPH\njqSje4qLi/HZZ58BAA499NBKK69LevToIQ6f++ijj7BlyxY0aNAAPXr0AAB06tQppfNkMgaWiIgo\nEE2nP1/YXltxDGkfsRyaTvhWx2MozmHr3Jo64KZrt9WJpjNv4vN7n4/Me80xggafgl6rrX6ltpps\nu+l41mCIpk1LC95oKkA4j1T3Pp5v6R3iY5J4IiLKXAMGDMBbb72F1atX4/XXX8cpp5xSaZ833ngD\nK1euTOyfqjvvvFPcZ/fdd8evv/6KvfbaK+lQuWzHwBIREYXGR8aStI+YgaPJzJA64VLvVdFzDZLp\nYrp2W50EyoAJKA4d9qiznmz1K7XVZNtN9956HzUVb5/D1Esmn/Ts+Xi+fWQsERFR9jr99NNxww03\nYN68ebjyyitx2GGHYZdddklsX7FiBf76178CAFq3bo0zzzyz0jHWr1+fyGjaddddq1SmkS8MLBER\nUSCaIVVSkEOT0eA6FK5YkZmRu17YQboQRQaJrZw+M5aCLHlfJg6BIt9SvSapudjq12fGkvU++shY\nUhxDenZ8DIWT6szH0M5sbNdERColiMdLMMShcHl5eRg1ahSOP/54zJs3D927d8ell16Ktm3bYu7c\nubjvvvswf/58VK9eHaNGjUJ+fuVc2Llz5ybmRRo6dChGjhwZXoGzFANLREQUGqlTqMlokDqeUsdS\n0wfPlTrhHtImggSWTH9vK06UGUtVka1+pWaS7H6GFljyMMeSdAjp2dMEjqV3ANszERFJjjnmGLz8\n8ssYMmQIFixYgKuuuqrC9oYNG2LUqFHo1atXmkqY/RhYIiKi0EidQk2n0TWmo+mDVxN+ScuTOuGa\nQloutoahkKaP2OrNZehXqj8oxmkicBPfP5La6jdIezd+xjWiIrTZbYqKcV04zvGxUG0nIiICgH79\n+mH27Nl48cUXMXnyZKxatQqNGjXCQQcdhD/96U8oLCw0frZ+/fro3bs3AKBz586Bzn/EEUdg2bJl\n6NixY6DPZzoGloiIiIiIiIiyTTHiMRQuojIUFBTgvPPOw3nnnZfS5/bYYw/nCbeffPJJp89nOgaW\niIgoNFL2jCYbwTUrRvNdRsrMyJXmmnH8wmSqJ9Pf2+pEqq9MyDJKJ5f6kz6b7H4GyjBTtDdpfiRN\nNpJrP8DHPGy+J18nIiIi/xhYIiIiqkKCDOWKw4+dQZmCG6kG84iIiIgoOQaWiIgoEB9z12gCFiEu\nJJIgBRO8BBssF2vKHjF9xKVOXDJufi8TAk6pZn25ZHRJ9yVZfZnufU1b5SoapI827TrHkqadurah\nKN4PREQZqwTxeFHGoQwUKgaWiIiqqDgMidJ0XKV5s6XvKprhduKy6B5mELYNTTJdY6oBJ0AOGASZ\nDD1IW4kq6CRdb6pll+rHdj7pmpPdT9O9t7WXXE1USGizNRUPn3Q90rOnWHjOOXjlg9RG2B8iIiKy\nY2CJiChN4hDYCZvUMd2iOMYmx3OoYkLSuuhSR17RO95u2cdUD6a/d+noBllRLkiQSBP7kI4b5rA0\n07FdYojSfUl2P0332NakfASWNBdaQ3j4pPsnPbuA/A6IQ1Zcut/VDGwREVHcMbBEREShkTpEPjqe\nElWGTh3Hk2gCSwG2mf5ekwliEqc5hOJUljIuZZLuS7L7meq9BxQZduqd7PI0D6iFj8AxgypERA6q\n2KpwlD7p/hGGiIiIiIiIiIgyFDOWiIgoKR/ZJFIijyajQdpHTBaKYs1zxwsxXUOQYVISW3X4zCCK\nS6ZJqqu/ufziFqS9B7qXPiYO0/x6LFTGduEmR/J8K0jtmj+kExERuWFgiYiIQuNjjiWpYyl2Cn3M\nRyMdQ9HRt/XRTddg+vsgw+rKxCXg44vv1GupflzqPtn9NN1j63VpAkvSPpqKE9q9bYJxQBcUyoQ5\nloiIMhaHwlFEGFgiIqLQSN8jNN8znL+L+PgyI3XSFfPZBJkUOtVMJmkbYK+OVANcmSDVsrsEQ31m\n31jbi2b+JKnBRfDw+ThFJrc9IiKiqsJrYGnMmDFYvny5z0NWMHDgQDRp0iS04xMR0W98rNgVxVLi\nYgaOjxQdDxlLtknEUx2CZqvXjQ6fJbl+bPUbpG5N99466bwmSuljXKPw7ESR/eajvTI4RUREFC6v\ngaU77rgDX331lc9DVtCjRw8GloiIMojUodN0TKV9vHQapZNIw4Y0S89ZggE1Uuw921Yfk7JmbJ+t\nSh1w07VKK7vZ6jfIan3GZmELHmnam9RmPUSFMub5JiKqqkoQjzHwcSgDhYpD4YiIKKkoloLXxFMi\n6Vhm0RqpLnMEURWaoyqCNq95dqNoj5y8m4iIKFyhfK2YMmUKtm/f7u2/bt26hVFMIiIiIiIiIiJy\nEErGUm5uLqpXZzIUEVGcuWYk+fhlwkdGg5dsA6kyokjf8kSqj6gyljI1CSyS9haFCNq0j7bmWp+a\ndiZlmTGjiYiyVgni8RLLmnRfMmH0h4iIQiNNBaP5riPNW+Plu0qaA0v8vlV1hXbvI2jTUtk1c05J\n7wDNdFJERESUXl4DSy+88AI2b96Mtm3b+jxsaMclIkqnoB3KTMoEkVZF99Fp9JFhIvaxpUoP6aaY\nyu4SjMig5Ku0cKmfyCai1rQ3D20yiuw36R0gvUMyCQPIRESUrbwGlvbcc0+fhwv9uEREFJymAy6t\nip7v4Tw+Or+5rj1+x2hNqgEklw697Z6YLiMOWfS+ma5VarM2QSb+DlS3PqKDihO7Bm01xZTeAdL9\n0JyDAR0iqrK4KhxFhEPhiIgoEE2HWOoU1vFwDIkmCFPTNfVCkx1i6wFHuFRbkPrM5IBTqjGY2GTI\n2AruI0NO0eZcm6WmrUnvAOkYmdAGiYiIsh0DS0REGUbzo4+m3+kj20AiHUPTiY+k47lF2B5y4CfV\nurbdX6lOYxM4iSmpPdnqL0i8J7ShiVKbldo85GfHR+BYao9RDN30EZzij/FEFEvFiEcEPg5loFCl\nJbC0fft2zJ8/H+vWrUNxsb2VderUCbVr146oZEREREREREREpBVpYOnVV1/Ffffdh88++wzbt+t+\n/v3iiy/QvXv3kEtGRES/5+PHJekYmgwP6acFLxkP0j9JmzQHEQSoUFNGiC0TpJ5wTGYs2Un1Y6tf\n1+y6CmztZWsqBzJQfA1zzTjU/CwovQOkx0aTKcQfyomIiMIVWWDpwgsvxMiRI6M6HRFlqLiveJYp\nwx18DZez0XTWolg1SurMayYIF20UtisutDhAZZg67g0sn2kY8Jg2mdwxN5XdFDSR6sdWv7b7ojl2\nebb2klukOIDr5GSQnx3p2YvLqo+uMuW9r8F/Y4mqGA6Fo4hEElh67bXXEkGlPfbYA4MHD0aXLl1Q\nWFiIatXs/8TttddeURSRiEjF55fyqvAF2ke2gdQ/ljJ08jx0sMWMpXXyIdYHOK0pENHI8pmCgMcE\nqtb3PtO1SsEfW93btmmOXZ6tvRSsUhygfgonM5CenXpC1Efz6EnvgKrUJk3iHgwiIiKKJLD03HPP\nAQAOOeQQjB8/HrVq1YritEREFKKIVjwXiZ11zQzCUs+tSNisiJAFCSyZhhIVWD5j2wYES2TJxiCo\n6Za7BDILhM+mMmOktb0obkiBFOwsUBRCeHZqFimOIXB9B2jeQwxOERERhSuSwNLChQsBAFdddRWD\nSkRE/yfor9Bx6eRryi910jWdQuk8Yjk8/Ny/Tah0aaQcEGxYoGkokW2IkhRos1WHz8XvoljNCwge\nNDB9TmoutvqVho6lMjTMdi807a220GZVZREqw/nZhNxOpHeIjxUwo8LMIyKKXAni8cUxDmWgUEUS\nWGratCkAoEmTJlGcjoiIPJA6fJrAgTQaRxrGBsgdYPG7iiZaIvQ8fXwfsnUqTXUZpEPs0olO9Toz\noaPs+7usS/0mqy+f97488bq3KA4iPOTSOTTBK+kdIL1DNO8hDrcjIiIKVySBpSOOOAKvvvoqZs6c\niZ49e0ZxSiKirKXpzGs6064dbs2QKqnTKE00DcgZOFL/uHaQMWi/I3U8NdPZ2I5hin2ZMlNsi4JJ\n00HZ4myZEChKVarX5LJAYJDF2kzt2/Z8+Rj+VexhpUPp2dPMKSW9AzTBZ4mPud4k2fjsEBERaUXy\n7+CQIUPQqlUr3H333di0yceazURERERERERkVILfVoZL538cCpf1IslYqlu3Lt577z0cc8wxOOaY\nY/DII49g3333jeLURESxFXQOGs2wDV9ZTa6kbANpFS1AnrdGmm9GU19S9pU0/3cdx59pTJN/m+6R\nbV7mIuFctiwTUz3E+ftg0OfIdMukLJwiyzZpvuxkEwKY6rzAsU1tEW5akeIYUvaWVFfSswvI7wAf\nGUuufP0KG+Y7n4iIKJ0iCSwBQMeOHTFjxgwMGjQIXbp0QYcOHdC+fXvUrm1fI+XWW2/FHnvsEVEp\niYjsopqQ2MbXKkhRpKxKQ2E0q2RJ87RInVtNnqxUDrFzW6A4iaWjX6Mo+d+b7qNtdJ/hUAm2+opD\n+46K6VpdAkvSqMtk99MY1LSNr1Q8vNVW27drRohKz45UDM0cS9KzpxlO58rHuzDMZ8fnsRmkIiKi\nMEQWWFq5ciXOO+88jB8/HgAwa9YszJo1S/zclVdeycASEVGKoggQ+FjRzUc5pWyabYpjSJ1bsYOs\nmXDKUlBTPZgyRmzBDykYYKuvsCaSjiPTtUrtyVa/UlAq2f00PgO2NqWIhKSyAp2J9Oz4OIf0DvDx\nDqlKAVMiogrKhqKlWxzKQKGKJLC0ceNG9OzZE7Nnz9550urVsfvuu6OwsBDVqtm/MtStWzeKIhJR\nTPgechPnCVXTXTbXzpYmliINpdEsmy5Ozi1s10ys7TzcRrPynGUfzcfLs907l+XZq9L3PtO1Ss+l\n66Tav2e69zWDjFksT7iQeoqXrWvQVpMtKL0DpGdDUxWu7Trdz0Wch6LGuWxERBSdSAJLDz74IGbP\nno0aNWrg9ttvx5AhQ1C/vuarPhFRvPjsYAQNLEX1C71UPs0QFaljuUJxjALH7U0V5xDnSJIqVDGu\nqNjSQ9as/F6ebc4nl+wrU/s2dR7THRzVSLXjK2Xh2OpXmosrGdO9t61mmKuJpghtVjO/WU2h8pYJ\nn1+sOIf0DpDeIZr3kOuqcL6GHwf99yPdgS0iIiJJJIGlTz75BADw97//HcOGDYvilEREVZqmwy91\nlqTtmr6tlI0gdUyB5BMelyddax1Nz1NKWRIuZIsiNaPIss30cVOH0jYpcoFQDlt1mDrYQTq2Ptqg\n5rxSUCDVskvNpcCyTZqsOllZTPEjW7kLFCluNaUIY4F8jDpCwLSaEBEtkk8hvgOkd4jmPSQFC6U2\nEmbQiIgoVCWIR2phHMpAoYrkx8b163d+MznuuOOiOB0REREREREREUUgkoyltm3b4qOPPsKWLakm\n+xMRuYnznE1By+ZrKJz0S7/rdkD+Fd/HylRiPWoK6jjJUrEiY8l2raZtqc69BMjDsWyXaqoqUzls\n7SyqIZvS/TdtN2UmSU0hyHC3Msmaialubc+Oqrm6NIQywte2EmG7Zo6lICvplad5vKVMsiDPWZBj\nxOEH+ziUgYiIsk8kgaWzzjoL//vf//D2228za4mIIpUJc8CkytewDNcOtKZfKs2mJ3X4APlaxJ8s\nNL9pSBEO4WLrFCnOYel5mob7mDrdmg67iW1oYTvD35vmyllnOZamfUjDzjS3rkjYbrreFinur7FW\n2J6sCZjqyVZ/dXwESzVRPeEGSPdH8x6S3gHSO0QzV5QUvJKG22naYaYMhfP9byIDVUQxx1XhKCKR\nBJYOP/xwXH755XjooYdw/PHHo3fv3lGclogo1sKcyNXHtEIFHs7hYwJwlwwRANimSCXIk3qWHqJs\nDVebt5k2mTq0tgmPlwrlsK3kZbqMBoa/t3W4NYElaR9NAE3q9JvKbjq3tNKZVL82ySaSNwVGGtoO\npKlcKXCkWJJR8+zYaJ5d6R0gvUM0VeGyUiKgmyvKR9YTERFRpooksLRq1SpcffXVqF27Nvr164fT\nTjsNAwcORIcOHVC7tn12ycaNG6N69UiKSUSUNTSdHKlDbomDAJA74BqdFPtIGSSmwEFKioTtHnqN\nBZZtpms03SPbhMfSKlsLA3xWM2Tx9zSZDD4m3paOYSq7Ke7iMql9M+GzyYJIpntfIBxLVCRsVwSW\nJNKzp8n+midsl95D0ucBefJu6V3GoBEREZFdJBGb3r1746uvvkr8/yeffBJPPvmk6rNffPEFunfv\nHlbRiIjSxsf8MiaaDrm0GpMUeCpQnEPKFNBkLEmLW0nHkDqVAOSeY5DISgpMw4FM2Ri2bBaX4WVF\nhr8PMvTOx/AhTTuWsk1SLXuBsN1Wv9YsIyS/n5rhoJW4jIUso6hc6dmR2pr07GqOIb1DpOGHgBxj\nk8qgaYfpfp8TESXFVeEoIkwFIiLKMJo5MjTBFOlXeqlTKHWiAbmzpYnXSBkLprlyEjQV5jh5t+ZC\ngkzebUoqscXBXIJ5qQ47tN1fH0MlNZ11qcymTrnpcy6BDik+mex+mu697boKhPMA0EV1JEX2zVuE\njoL07ALyoyO1Ac17SHrXSUFQH+9TgP0qIiLKXpEElm699VasXq35elHZnnvu6bk0RERERERERFmO\nk3dnnc2bN2P06NEYN24c5s6di7Vr1+K0007DLbfckthnwYIF+Oqrr7Drrrti//33j6RckQSWevXq\nFcVpiIgq8f0LcRxWmdNkcWgWjZISGqTRNpopWqRMAM0xpH22SgfwkfaiqVCJ5fcVU12bhvmsspxG\nygAJMjeW6fLDzljSPL/Sd9VUn1mpfmz1a7svQPJMo0CT02uykZKdrDzNxEFCY9oq3CAfz7ePd4jU\njgqE7Zqq8jEfWBTiUAYiIgpm8uTJ+NOf/oSFCyvOmLlqVcVvIEVFRejfvz+6dOmCadOmRVI2DoUj\nIsowvub7kDr+PiasLRC2t1QcQ5oAWIr5FCsuJFeKxgSaCKciWyzANBLP9Bnb0Bypfdiqw+cPipoA\nVpjz0khM1yo1F1sdSUOmkt3nVO+9mnNEVn52pGdPM3m39A6wTTav5TrXm48AJxERkYvvv/8evXr1\nwoYNG1CzZk0cd9xxWL9+PT788MNK++6zzz5o3bo1pk+fjmXLlqFp02Tr0vrFwBIRUQoy5ddeH8En\n10mzATlbRJNNIpVTOoYmQJYrdcJ9zDJtYer4murYVvcuEy6bsmeCXJ7mMz4645p2mIypXblMBh9k\nfqZAyXCamdGlhq84hnQIH3Nkub4jgt7/8qRy+spGCtreM+XfHSKKoRLEI/LNF5mzSy+9FBs2bMB+\n++2H119/Ha1bt8bIkSOTBpYA4LDDDsOzzz6Ljz76CH/6059CLx8DS0SU1XwPXfP572LQY2k+52NF\nLh+/4i8Wtv+qOIaU9SBN3l1T03OXTiL1PIvkU9iSokyj5Ex/v85yLJf7asqeCZLd42P4kI9hn6kO\n43NZIcx2X4Dk99N0Ptt88o00FVMgbFd0NGqusG/fLtzkpfIpxHeA9A7RvIdcszN9xPHiIs7/JhIR\nUXILFizAxIkTkZ+fj9deew2tW7cGAOTk5Bg/07x5cwDATz/9FEkZIwks9e/fH999912gz7722mvY\ne++9PZeIiCiYTJljycc+0twvmkwBKevJRyaAeK2aSWxcV4UrknexdU5NCVOmv7eNYpLqwxaISTV7\nxtaZ1jwrUTxPpvowXatUB7b6lUaXJbufpnusCWZY+VgVTphoLbfIvt1HFo90GZrhdlJduq5MB+ie\nnTgkDRARUeb58ssvAQBHHnkkdt11V9VnmjVrBgBYuXJlaOUqL5LA0oIFCzB37txAn92yxfmrFRFR\nLAWdX0bTGdcEfaSOkHQeTb+1keN2zXnEzpqURgK4T86t+KcqyETXppiYLQ4m3fsg7c5Ux7Y2Eocg\nLGAue5AJyYFgGV9lkt1P0/Gs5dB8NQq2GG9FwrPjGhQC5HeAdBmaTCFpvi/XOZg053DBgBQRBVaC\neKQWxqEMGWz16p3/GrZq1arC39sylqpVi/abWCSBpdNPPx2HHnqocfv27duxePFifPrpp1i5ciUO\nOugg9OjRAwAimWiKiLJXNq4Kp6Epp0tmBiCvGgfIiTyamI/UhxYnW1Y0glzXyWQi7vnZTueySlqq\nwRaXcgB+nk/p1pjmRDJ9zuVWR9YMfExgpah86dnxMYRMegcUCds17yGXLD4gc977GuzbERFlnvr1\n6wPYudqb1i+//AIAaNRI8zOuu0gCS1dccYVqv23btuGee+7Bddddh4EDB2LYsGEhl4yIiIiIiIiI\nKJ46dOgAAPjss8+wY8cOVK9uD+MUFxfjzTffBADst99+oZcPiNnk3Xl5ebj66qtRXFyMK664Arvt\nthtOPvnkdBeLiCgU6R7eIA3vKBC2a0aP+ch6krIexMyrAsVJpORYKTVDcSGbLBdSlOLfa+rNRDPl\n1O+Zim6bUyiq9i2tgpdv+PsgK+5JpPtSlOTvTOWz/r4oXTTg5QEWM32K7Ns1GUtSnUllaKg4h/T4\nFimOIQlzVTgiosCKEY+XTxzKkMH23Xdf7Lbbbvj1119x//33JxJwTEPh/v3vf2PevHmoX78+jjji\niEjKGKvAUpnLL78cN910E4YPH87AEhHFShyGEfhaFU4izY9SoDiGFMRooDiG1LEU51jRVIa0j1Tp\ninPY5mBJtV3ZYgLSfQvSNkzls31P1MQ+pNiG5nuodP9TrVspsGSr3yBTdZnKZ52zx8cyZZrKFc4j\nnUIzn5cUGJKOYZr8vLwix+3ZtCocERFlpuHDh+O8887DlVdeiXXr1uHyyy+vtM/ChQtx880345FH\nHgGwM65Sr57rCjU6OaWlpaWRnClFe++9N2bMmIElS5YkZjSncK1ZswYNG+78ilcbgHkqMCJKJ818\nH5p/QloK26UkHs1qTNKobs0seq2F7e2E7XsozlEgRROESt+mSCGyLZtu2maauHiR5VgLhHIstGwr\nMvy9qdNsC6Ro2qAUiNF01qUVvVIte4FwvFaWbVJbTfbMmQIrLSzHsW0rkydFGBURtyIhovKz8PnZ\n8inE9rpM2L5KcY4VjuewPW9lpHYIxOOHCSKqrBS/ZU+uXr0ahYWF6SyOs/J9utW3AoU+Vgl1tGYT\n0PDanX/OhjpOlzPOOAPPPPMMgJ2jvQoLC7Fs2TK0aNEC9erVw08//YSy8M7hhx+O999/HzVquK5Q\noxPLjCUAWL9+5z/RK1euZGCJiLJS0AlhNVkAmmwR0xCcMq6Te/viumKT6p/ToDNAl21WBJZs5Ui1\nLm0dVGnJe1uiiqkaTG3FtQ346Gg7xgQrkRJ5bPUb5HpMdWhrL5rnW9xJsYxZJM+eI00blMohvQs1\n9R3m+5ABKSIKjKvCZZWnnnoK7dq1w2233YYtW7Zg2bKdP40sXvzbT5Q5OTkYPHgwHnroociCSkBM\nA0sffPAB5s+fDwAMKhFRrGTK6kCackrD1HxkG9UXtmuyWqROnXStqn9SpV6h0Al3nUvGdHhTkMN2\nzdIPk7Y6N1WDqXy274mabKMohg+Zgh+mdiXVn217kBXlTHVray+a9lZTChwpIiGuq6VpAjLSO0Dq\ni0hBIQ0pLpzu977P87NvR0SUuapVq4Z//vOfuPDCC/HCCy/g008/xeLFi7Ft2zY0adIE3bt3x6mn\nnorOnTtHXrZYBZYWL16Ml156Cddffz0AoEePHmjcuHGaS0VE9BufX8qDdhY0U6NohmVI+0jn8dFp\n1EyULPWPTcPFUjlHE6EypD64pqNvO4apLk1ltwUFpeu1lSPVuTVtgQdNvfsYCifVvemaTH8v3Wvb\ndUnB2mSfNd17WzlU82QJ0RLNvZaGkEnPniIpSmwnHqY3E69Vehdq3qdhzkvLYBAREZW3yy674JJL\nLsEll1yS7qIkRBJYOvbYYzFt2jTrPps2bcLmzZsT/79mzZq4++67Qy4ZERERERERURbiqnAUkUgC\nS0VFRVi1SjO94k77778/HnzwQfTo0SPEUhERZS/NfB/Sv/FBM0HKk7KypAwPQM5okLJaFNMfifv4\nyLyyHcO0spXpHtjqXloly7bdVJem+2i77qgm75aYrtd0bJf6k56JZPVlGlpnqz9Ne5P4eC6k+6Mp\np2tGkofF7cRjRDWfHBERUaaKJLB0/vnnV5hQ6vdycnJQq1YtNGvWDN27d0enTp2iKBYRUdbSdOql\nVd2kOZZ8BIU0HU/pPNKcOD7mJ/HxQ5vtGKkO17KRhija6jPVDrStbjXLwPvgI3hZntQmVRNnGyS7\nn0HufVQ//Ep162OhISmwJN0Pzf2V3mXSUDdpyB8QXXsnIqKqZ/bs2Zg6dWqgz7Zv3x4HHnig5xJV\nFllgiYiIKgo6b4aviVxdV3zSTJorBSo0HWRpnhapPjTBEule+OhA27I7TOc3ld0WODQtX1/GVuem\nDBXTPbBdk+beSvWuaetB50QKOnm3rX6lgG6ysprqwBbs0GRySfWvyViSMn2k7Zo5llyzhTTvoTis\nXgdwriQiSgMOhcsKEyZMwIUXXhjos0OHDs2ewBIREfmj6Zy4rlIG+PkOIHXYfAR9pE62JpPAdWU5\nTcfUdq2m8wcJIkr1EWR4manstuydqDrrUjtN9Xql/V2ei2T303SPXSdZl65DE/SRnh3pHJp3lfQO\n8NGOXINsmvcpg0ZERFSVMbBERJSCdC87DeiCMZoMGym7QjqGZgiK6zA2wH1+E83QJdfOrabzu9Wy\nzdRBN3V4bdksqhXDDEzXEVWQKAjp3vmeH8cWhJCGVCV7HoLMl+TjfmjqxWXYn/YcrteieQ9J7xnX\ndyGQ/pXjtBgAIyLKPH/5y18waNAg4/bS0lIUFRXhm2++wSOPPIKpU6di5MiROP7445Gfr8ntdcfA\nEhFRmgTt8GqCW5rOVoGwvb6wXdMh9JFN4toZ03xe2kfarumA2zJEUp2k2xaMkIbC2TrJpuCXqey2\nIJYtkCYdt4ymXqWvS6kOhQt6PGkbkPx+mupwneU4ru0N8DMUzkegRAp0SOfQvIekd1mBsF3zPg3z\nR4c4BKSIKEOVIh4R5dJ0FyCz5eXlIS/P/q9/YWEh2rRpg5NPPhk333wzTj/9dLz88svo379/JGX0\nGlhavnw5tm3bhqZNm6JGDX+/b4Z1XCKiVMXh3+ao+AgK+ZjQ1nV+FE0Az3VlOU0QxVafqc6xZKsT\nqRNsa8OmegiSuZLqpNlBBQ36mQIBLpOfS201lTmWbG3Otb0BuufXNdtLcw4peOU6HA+IJjCj+bch\naDmq0r87RETkbvjw4XjttdcwePBgHH300WjQoEHo5/T6A0ufPn3QunVrfPvttz4PG9pxiYiIiIiI\niIiySd++fbF+/XqMGTMmkvNxKBwRUZqE+St0kAmaf8911ThAzlrRHMM1Y8l1Ym0NTX3b9jFlZZiy\nOWzzuUhzvdgyYUwZFab6sd1fTb1L+/iYqN5U76a/l+rPlnUiZaQkm8vH9Blb3Wraq/TcaJ4916wn\n3/NbJaNpI6657r6yoph5RESR46pwVVZBQQEAYNasWZGcj4ElIqI0CXNODs2xpY6lFBSSJrwFdJPe\nSlyXNNcM45LqS+oga74v2a7DtM0UBHIJHAaZwtHUIbbVm4/vkJpjBF3RL4ypLF2HVJYXZBXB8lzn\nDQPkQIj07GkCKdK1+HiHSMFC6V3o610d9DgMSBERUaqmTZsGAKhePZqQTyhnOfzww1Gtmr8u0+bN\nm70di4jIhc9gUJiTd2uyEaRf8aXzaIIbmrlgJFI5pA5yFJ0y1+XfTWU03SNbnUj33hbgMpUxSJBI\nM8eS1AZ9zNGTahaWS6ZekACl6d7brktzP6LIFvIRPHTNrtR8PmjwsYyP9ykQjwBRHMpARBFixlKV\nNHbsWIwePRoA0LVr10jOGUpgiYEgIqL4kzpkUawIpckakTKOfEzeLV2LNIGwVFfSMUydPVO5bJ1D\nqSxBAhamOiywHKupUA5ADj5p6nWpsH11iseW2ovtuQmS+WI6ny0byEfQTnMM10w9TdBHynqSgtOu\n2YKAn6HDREREYZkxYwYmTpxo3WfHjh1YunQpPvnkE0yaNAkA0KpVK/Tr1y+KIvoNLF1yySVYsmSJ\nz0NW0KpVq9COTUSkkSm/9vroKEmdZM1QOGkfH0Ef6Vp9zI/i4xy2fVKdB8jWGZeGW9nKYcrsMAUh\nbJkgPuZY0gQNgs6fYwo2SM+4LUghDdtKFiQ1ld92Xa7tDdAF7VyznjTZla7zsGnOUaTYx0ZT31wV\njoiIwvLJJ5/gkksuSekzTZs2xeuvv47atX0MKpd5DSwNHjzY5+GIiLJa0M6C5nM+AktSp1LToZey\njXxkG7gEUlIphytbfaU6LMvWmZbaR5Bggel8roEHH/MASUxl18y9lYztPgaZMNtUh67zV0nzCknb\nAfd3gOarrBRYcs1YBNI/OT8RUdqUIB7R6TiUIctVr14dBQUF6NixI0444QQMHTo0MYF3JOeP7ExE\nRERERERERKR2wQUX4IILLkh3MawYWCIiyjC+JhCX5jbxMfxLosk2kDIapGwEzZAf12uV6hKw/1iX\n6qTZtmNJ2Sy2+jDdD1Md2zJSGgnlAOShkpqsGiljzTTHkqmepHvtki2W7NipTtyu5SPTx3VSax+T\nXgep01T30Ty/Es17mT/YExFRtmJgiYgoTYIGiDTDOnx0cqJYSlzT8Qx7uBUgdzylY2hWv7MFdEx1\nbSqX7VhSMMZ2raZAkenvbcELzRxcBcJ2zb1fIWw33TvTZOpSoMo2CbsUxEzW3k2BFVvd+nhuMiWw\nJNWp5j3k+i7TvE/DXIWPASkiCoyrwlFEGFgiIsowPgIlGlLGg4/5UzQdNqljacpIKbPKwzkkmvl6\nbPVl6oAHnWDaxtZ+fHaONW1QqndNJknQ76qma5WOZwuESO0g2fNguvcumVGA+4TVgBwYkrLSNCsD\nSu8RqU1q3kNB59MqE5d52oiIiOKKgSUiojQJ81doH8NDpI6SJgghZSNosiak4IPrkCHAPWPBNfsj\n1aFwNi6Td5sCCaYAYb7lWD6GbGramBT8MJXdlJkkndPluU3WBsJaFc5HxqHEx/Mt3T/pWuOysiSz\nioiIqCpjYImIKMNoOuw+OvU+liuX9tF0CqVsA2nIlaZT6DpPk214lKYcpuObgh9FlmNJQ+FsGR6m\nejB1/m1BASlbDZDvXZjL1QfNWLLVb5D5rUz3w1a3PlZC09yfAmG7dP80mUJSQEZ69nzMoSbx9c5l\n8ImIIsdV4TLK+PHj8cgjj3g9Zq9evXD++ed7PWYyDCwREWUhTYfONdtA05GSOtqaoU7SPlF0PH1M\n/hsksGT6+7CWNvc1MTygy7aS9tF8Dw06BMnntZYJEowNUg7NNUvvAE1Q1/XZ0jwX0vVL16qpP9d3\nnetQOiIiIo25c+fi5Zdf9nrMxo0bez2eCQNLRERERERERERp1KJFCxxxxBFej9m+fXuvxzNhYImI\nKMP4yuJwnUPJx/w3mkwA1+wcH1lRUl1priPI0CZTHQfJfpKOadsWRnYPILdlTTuW2qGp7KbPuUxg\nLrX3ZEPHggyF8/EO8PFcSHwMdfVxDmkfqa407ZCjPIgolkoQj9UF+JJU6devH/r165fuYgTCwBIR\nURby0RGSOpU+Jgh3DcgA8jwwPoITRcJ2aYl6wF4XpjmaTPP52FbCkwJLDS3bTHPmFKS4P6CbB0gK\nWGmWq5dWBSsw/L3pnknlts2xFGRCfFMd2uZA0tRt0Hopz9ZWNMfQ3D+Jj4m1XScyj0OfjIiIKM4Y\nWCIiSpOgWSA+MoUAueMpBX00HTppIukoOmyaunDtAEvXCQCrLNvWGv7eFHCyBY8KhHLYAhapTnRt\no/lx0kfQQJLqhOTSpNa2oI7tHgPJ76fpfA0sx2kknAeQn+8ongvNpPYSKWiraSPSu8xHXWmCfUHf\nd/yhn4iI4i6tgaWSkhKUlNj/uaxenbEvIqJU+cgEkrZrOlISHyu2+ZgA2rUMrqt0mYKMQepY+oyt\nvkz3I9W/l85TJoo2lOrE6FK5bWUO8sykOlRPKoPm81pRZPK4HkNTF67vOk7eTUQZqxjxSLuMQxko\nVJFGbWbPno2HH34YEydOxJw5c7BhwwbxM1988QW6d+8eQemIiLKHZm4UKZtA2q4JCkmdPs2S59Ix\npHJoAkuuwSvXYYGmbabgh2bonYlmlbzfMwU/bPdPWope+jygK6vUTlOdv0o6py07TcpcS5YZE2Qe\nLU17c51DDZADLi7ZXWWka/HxHnJ917nONUVERJTtIgssPfnkkxg6dCi2bt0a1SmJiGItzOENPoYh\nuS41DsgBEE3HU9pH6vxqfiTLF7ZL9VmkOMciyzbTnElBgkAFwnZbMMA0JMj0GddJvYPMSfR7UoDE\nVPZUr1VzviLhs8m2m9qvLdiheW6aCNulNg+4DxHT3D8paCO9QzTPiLSPj+A0J/gmIqIobNiwAS++\n+CI+++wz/Prrr1i3bh2Ki83/Cp1yyim45pprQi9XJIGlGTNmYMiQISguLkb16tVx/PHH44ADDkCj\nRo2Qm2v/SrjbbrtFUUQiosile44lKaNE2u5jThGXzJsyPiYIloa6SOfQ3BNbpzLVDPEg8ySVsbU7\nUzlSHU4G6O6t1NH2ETRIdciby4TiUlAqWbDIVA5b3US1IqNECgr5CD67DE0s4/qu07xjfAw9NGFA\niogCK0E8XiJxKEMWGDNmDIYOHYqioiL1Z6Ia/RVJYOm///0viouL0bRpU7z//vvYe++9ozgtERER\nEREREVFGe/fdd3HaaaehpKQEderUwWGHHYY1a9Zg6tSpaN++Pbp06YIZM2Zg5syZqF+/Pk466STk\n5OTg4IMPjqR8kQSWpk+fDgC4/vrrGVQiIsoQPn5ckrIJpKE2gNvQJMDPfDRSZkbUc1LayiPNF2Na\ngQ4wzxFU3/D3trovEMoByJkimlXFgs7BY7pWW/1I54tqLh4fQ8x8tFkp68lHFo+PcvKHciIiynRX\nXHEFSkpK0KNHD4wdOxZNmjTByJEjMXXqVBx11FEYOXIkAOCjjz7CGWecgcWLF+PVV19F3bp1Iylf\nJIGl0tJSAEDXrl2jOB0RUZWn6ZCvELYXCNs1kzM3FLabAhapnEfqeGrqQhqOI213DYCYZh80XZut\nwx5GkCvIqnWaoKG0Ux3FeDopuOE6D9Tv2epXCmAkC3KZPmNrL1G0aQ3pHmsCS9I+0oTo0nYAWCps\nl96FmvomIoolrgqXFX744Qf88MMPqF69Op544gk0aWKeSfGII47AO++8g/333x9nn302XnrppUjK\nGElgqUOHDvjwww9TGgtIRJTtwvwVXZOlI81/4uM7QBQZC5prDZvmOm0BEFUQphxbFleB8FlboC7V\neXdsbcg0IXl5NYXoho9V4UxM1yoFMgss26TlSVIpq+1ehDmfTyqiePaieIe4Tu6tOQfAzCkiIgpm\nxowZAIADDjgAHTp0qLS9pKTivzB77703+vfvjzFjxuC7777DPvvsE3oZIwksnXvuuXjkkUcwduxY\n9OnTJ4pTEhFVaZoJbaVsIWm7jwltNZ0x15XDNOeQslp8Z72ESeq82oZIBZlI2oXUTn0MLTOV3XSt\n0jl9TsIeJh9t2sez5XoO6R2ieQ+5vus071MiIqKwrFu3DgCw5557Vvj7vLydP0Nt2lT5l7oDDjgA\nY8aMwbhx47InsNS9e3f885//xC233IITTjgBffv2jeK0RERVluYX9nXC9iJhuyabROJjjiUf5ZCO\n4WNYUZAgialTHWRltzK2tpFqoMDWqZeGQQJArtAApIwmQJcZlYzpWl0CmVIAItmxgwS4NO1N2sfH\ncyMFdTRBHynAJd1fzXUUCduld2EcsiKJiALhULis0LDhzm9V27ZV/HZQv/7On0YWL15c6TNl0xEt\nWrQo5NLtFElgadWqVbjgggtQrVo1nHLKKRg0aBAGDRqEvfbaC7Vr279VNm7cGNWrR1JMIqKsoZl3\nZJmw3Tx6eydNh07qaEtBI0AOPkmdPk2n0LUTrsn+0MxJ9XumwJKt3ho4lMN0PtP3QVu9FQnlAIB6\nQsVrAihBh3SarlW6T7aAWZDsmiDftTXtzTVYCsjPjnS9qQ7xTEZ6h2jeQ6uE7dK7UPM+JSIiCkuL\nFi0AVA4gtWvXDgDwzTffYPv27ahR47d/Nb/55hsAv2U1hS2SiE3v3r3x1VdfJf7/008/jaefflr1\n2S+++ALdu3cPq2hERERERERE2acU8ZjgrTTdBchsnTt3Rn5+Pn766SeUlJSgWrWdPzHtvffeaNy4\nMVauXIkRI0bg2muvBQBMnDgRL774IgCgS5cukZSRqUBERBlG8/1Ak9EgZRNI845oshGkbANNtoY0\nIbKPiXclUmaG6xwsqZbRVm/S71K2bCfTPTVdn60ca4VyAH7unbSPqeyma5Wy6GzXFWROIlP5bW1K\n0958THot1a10/zRD4aQ6k65V8x5yfZdp3qdx6LcREVF2qlOnDg4//HCMHz8ekyZNwqGHHgoAyM3N\nxdChQ3HLLbfgH//4Bx5//HHUrFkTM2fORElJCXbZZRf88Y9/jKSMkQSWbr31VqxeHWwWhN9PUEVE\nRDJN0qu0j48Ja6WOp495XiSa63C9Vs2wIk2g5fdMHXNb8EPqBNuuNdXzBQlSac5XxsfqhqYymj4n\ntQWXidyTBUmDPAOaIaSSKJ4LzbxiUbwjpOuQ3oXRDCIgIiIyu+yyy7DHHntg7dqK3yiHDx+OyZMn\n44MPPsCcOXMSf1+nTh08//zzqFPHx7cGWSSBpV69ekVxGiIi+j+azpjr5N2aeUdc52gB5E6dlCng\nI0DmY85J29w9pgCLKThTYDmWbRtgrw9TXZrak62d+QgI+AgsmbabrlVqLwWWbUGyp0xBSdf689Fm\npbqQAoOagIzrHGma91CRsF16F0YRACciCgUn784aJ5xwAk444YRKf1+zZk2MHz8eY8aMwcSJE7Fh\nwwZ06NAB55xzDlq3bh1Z+TgUjogow2gyJjTBFNeMJc0wF2kfTTml65WyIsKcALqM65Af070w1Y/t\nfC4rdZnq2lT2jcK5JEFWUUu1DKaym67Vpf6CtHfTZ2zt3scQM02wRHp2pGfPx3BZHyvPuWYs+XhP\nARwuR0RE4ahWrVpigbR0YWCJiChNXIbUSDQdOmk5+AJhu6azJXVufaxMJc3BpCFlTknbNZ1021A4\nU1swZTm5DIWzfbbA8PemznuQIFUqNMeQErxN9y7VTKYyRZZtUjtIll1jyrixlUOT6efapjWkZ89H\nVqPrHEyA/C6T3oWa92mRYp+gzwQDUkREFHdpCyxt2bIFP//8M4qKilCrVi20aNECTZs2TVdxiIiq\nHKljKXXoNAGdImG7JtugQNgudSyl5eM159CUU5If4Pymsts6wlKgxcfQwDK2NqLJevcxsbpvUv3Y\n6lcKUCSrE1PbKhKOJZHabIHiGNKz4yPjrMhxu+Y9JLVFH0E2IqJYKkE8otNxKEMGe/nllzF16lQM\nHjwYnTt3TndxkgrzB/OkXnvtNRx11FFo0KABOnfujEMOOQT7778/mjVrhj322AM33HADioqKoi5W\nbK1evRrfffcdfvrpJ2zevDndxSEiIiIiIiKKtfXrNXmzbjZv3oyNG10nBpCtWLECI0aMwN57741u\n3brh3nvvxYoVK0I/byoiy1javn07zjzzTLzwwgvGfX755Rf861//wmOPPYbXX38dXbt2jap4sTNu\n3DjccMMNmDx5cuLvatasiX79+uH222/H7rvvnr7CEZEXQX+88fWLQBTzKEYxHEeiuU5prhgp80KT\n0WQbTtPI8PemjJECh7LY6iPViaRt9y+qX66k58h0vabPucynZbqPZZLVlykDKsgk6+VJbVazYhvf\nEX7xB3sionA9//zzePjhhzF16lRs3boV+fn5OOCAA3DhhRfi9NNPdzr2unXrMGHCBLz//vv49NNP\nMX/+/ERCTO3atbH//vtj4MCBOO+885Cfb8tTT13z5s1Rq1YtbN68GV9//TW+/vprXHXVVTj++OMx\nePBg9O3bF3l56V3DNKe0tLQ0ihOdd955GDVqFACgoKAA/fv3R7du3dCoUSNs2bIFc+bMwZtvvolv\nv/0WANCsWTNMmzatSg6PGzFiBK6++moAQI0aNdC+fXts3LgR8+bNAwDUq1cP77//Pg488ECv512z\nZg0aNtyZyF8bQI7XoxPR7wXteGs6Wpo1IPYXtncQtu/hoRzS0CFAnlhXmtdmqeIcPztu1/xmZLvf\nBYa/NwWWbEOUTMfSfNYUNDEFOWz3RtO+XYdjAnJn3RRAMQVegsyTVKYowGdNx7MdSxOgaCJs1zy/\n0j7NhO2agKsU4FotbF+gOIf0/M4Stn+tOIemHEEDWAxIEYWrFL/9sLJ69WoUFhamszjOyvfpVp8O\nFPqNcQSyZivQ8Nmdfw6jjktKSnDmmWfi2WefTfxdnTp1KmQTDRw4EM8++yyqVQv2DfyBBx7AJZdc\nUuHv6tSpg02bNqF8SKV9+/Z4++23seeeewY6j8m6deswZswYPPXUU/j0008rnLOwsBADBw7E4MGD\n0aNHD6/n1YoksPTtt99iv/32Q2lpKQYNGoSRI0eiQYMGSfd97rnnMGTIEGzevBkXXXQRHnjggbCL\nFyvjx49H7969UVpaimOOOQZPP/00mjdvDgD49NNP8ac//QlLlixB06ZNMWvWLGM9BsHAElG0wgws\n7abY5wBheztheyvFOaTObYHiGNKcQVJnrUhxDqlTOEfYvkhxDtt9MwXY6hv+3vbmLxDKESSwZCp7\n5OPpA0g1MynMwFKyCdxNS93bAiqaAEVLYXtbxTGkwHCBsF3zrpIGEBQJ2zVB3YXC9tnC9i8U5/hV\nsQ8DS0TxxMBS+MIOLA0fPhy33HILAGDIkCG46aab0Lx5cyxduhTXXXddIsHl73//O/79738HOsfo\n0aMxbtw49OrVC927d0fr1q1Rt25dbNu2DT/++CPuuecePP744wCATp06Ydq0aahRw+fMlr/55Zdf\n8PTTT+Ppp5/GnDkVv6W2b98eZ511Fs4880zsuuuuoZw/mUgCS9dccw1uu+02HHLIIfjkk0+Qk2MP\nWTz11FMYPHgwGjdujGXLlgWOKmaiLl26YPr06WjVqhVmzpyJevUqdgE+/vhjHHHEEQCAa6+9NvEA\n+cDAElG04h5YkjKWpGwFQO54akLj0jGkf7I1K8/NE7bPFLZrOrcFlm2mujQFgWzD6qQMryDtLsiw\nMR/ZRj6ynnwHxWxllrJvkrVFU6DKlmlXJJwHkIO6nRTH2F3YLq2W5mPybttqiprPA3LWopSxxMAS\nUXZjYCl8YQaW5s+fj/bt22Pr1q046aST8Oqrr1baZ8CAAXj55ZeRl5eHH3/8EW3atPF2/vIuueSS\nRGLMW2+9hT59+oRynvImTZqEp556CmPGjMGaNWsSf5+Tk4MjjjgC//jHP3DssceGXo5I5liaNm0a\nAOCiiy4Sg0oA8Oc//xmXX345Vq5ciUWLFqF1a82gjsz35ZdfYvr06QCASy+9tFJQCQAOP/xwHHbY\nYfjkk0/wxBNP4Oabb1bVKRFlD1/zgUgdaylgo1mCWwocaYbKSJ1TKXC0SnGOZcJ2qXOrCfbZMoVS\nDSDZgkdS+5AyclJhayNSphkgt0FNh1q6Hp/XC9iv2efsBrZMHs10pFKbldo8ID+f0pxSmr6M64qL\nmrmipHeZj58vo5qniYgoJcWIxwsqxDI89thj2Lp15xqhN910U9J9brrpJrz88svYtm0bHnvsMeN+\nrk477bREYOnHH3+MJLDUs2dP9OzZE/feey/eeOMNPPXUU3j33Xexfft2fPjhh+jQoUP2BJbKJrXa\nbTfNb+hAbm4uWrVqhTVr1mDNmjVVJrD05ptvJv7ct29f4359+/bFJ598gsWLF+Prr79Gt27doige\nEXkW5uTdPib3lWg60dI+mgRh6VqkoTTSHC2AnPUgfR/SXIdtH98TTNsE6USbAme2a9IEDKR6C/O7\ncBjHlo6Z7H6aPmMLVmram/R8FymOYQuGAvI9dn0uAPn59xHMk+rKV8YQM4+IiPx7/fXXAQAdOnTA\n3nvvnXSfjh07olOnTpg5cyZef/310AJLxcW//au+yy67hHIOk/z8fAwYMACHH3447r//fvz73/+u\nUJ6wRRJYKpsHaPHixar9S0tLsWTJkgqfrQrKJi6vW7cu9tprL+N+Bxzw2wCWb7/9loElIqrExzAk\nqbOlyQSRsgl8jDyXsoU0AQ5pH2m765At0/FNGUuabCAT2z3ZmuJnbG0g/EV+dVKdeFzKsnEJZCQL\ngpqeVduzoXluongufKzYFnTy9TKa95Br4CgOP/YTEVFl27dvx/fffw8A4sJWBx10EGbOnImZM2cm\nVozz7bHHHgOwc1LvY445xvvxTbZs2YKxY8fiqaeewrhx47Bjx47EtqhGN0USWNpnn30wbtw4jBo1\nCgMGDBD3f/3117Fy5UoUFhaiVSvN9LDZYfbsndNHSpld5bf/9NNPoZaJiIiIiIiIMlAJ4pEuGVIZ\n5s6dmwii7LGHfS3T3XffHcDOrKLZs2cbs5s0NmzYgC1bdv60sWrVKvz00094+OGH8c477yAvLw8P\nP/xwYgGusJSWluLTTz/F008/jTFjxmDt2t8GwVerVg3HHHMMzjrrLJx88smhlqNMJIGlU089FXfe\neSfGjRuHYcOG4fbbb0deXvLf/D766CMMGTIEAHDyyScjN9fH72GZoWyyrbLJ1kzKT3ZWNsww1XMk\nk+qxiCi+NG9OKevBNYtHUw5NJoBr5pQ0VE6zj5R9Iw0ZAuz1ZcpAMv297VhSnQbJvggyJE/zHVIq\ni6YdS9liqX6LkPa3PTdBvrGY6snW5jR1K7VZzRxp0nPhOlQOcL9/PjKvpHdh1fkmSkQUPqnPmcrE\n3qtW/TaTZpMm9mUrym9fvVozUYLZxRdfjCeffLLC3+Xk5OCss87CsGHD0LVrV6fj28yZMyexItwv\nv/xSYVunTp1w5pln4swzz0TLltL6sH5FElg68MADMXDgQLzwwgu455578Nprr2HQoEHYf//9UVhY\niK1bt2LOnDl455138N5776G0tBQFBQW4/vrroyhebGzcuPMrXM2a9q9AtWrVqvQZLSloRUTZwcfQ\nDakzpemYSh1PTYdNmny7SNiumaRY2kcKXmnerLY3u6lja+p02+6vSyBOMxFyebZr0gwZ8zHHknRv\nTEEY07X6DlRJxzbVQZD2Up5UL5rnQrqHUsBG846QJgD3MRm9a2CIQ+GIiPyRMotSWbS+fF84lT70\nhg0b1OdIpl69emjUaOe/YOvWrcP27dtRWlqK9957D7vvvjv22Wcfrwkya9euxXPPPYennnoKkydP\nrrCtUaNGGDRoEAYPHlxhypyoRRJYAnaON1y9ejXGjx+PefPm4bbbbjPu27hxY7z66qvYddddoype\nLFSvvvN2SJNslR8zWfYZIqo6fKyUBcgZDVLY2sdqW5q5iVwn59V0CqVySB1k15WtUuU6/06qTCvv\n2Vbk08yx5COjLWhGi+nvpfmrNMESE18BCk17cylnGdfyap5d6dnzEVhyzUjUnCMOI02IiCopQTyi\n4yG9JMvPHyQFpMpvr1bNbT3Q+++/H/fff3/iuN9//z3uu+8+jBo1CjfeeCM+//xzvPHGG9766s89\n9xwuvPDCxP+vUaMG+vTpg8GDB+PEE09EjRphfPtLTWRRidq1a2PcuHF47LHHcP/99ycmqi6vYcOG\n+POf/4xrrrkm9DGJcVSvXj2sWrUKmzbZF88uv71ePc0AjN/Y0v6KiorECDIRZQYfqzH5+J3FdeU5\nQM6i8fF9yXXyXk3uqK1zmmo9BRlWV8b2r4bpXwhTW7Bd9wqhHIDcYdcEUKSMF1NivKkepOwzW7Ak\nSDDWdO9tdaNpb1Kb8vF8S8+FJgNOKqePd4jL8EbNdiIi0vv5559RUFDg5Vh169ZN/Hnz5s3Wfctv\nL/85Vzk5Odhnn33w3//+F23atME//vEPvPvuu3jooYdw6aWXejsPAHTr1g2DBw/GaaedhsaNG3s9\ntqtI011ycnIwZMgQDBkyBCtWrMCsWbOwdu1a1KxZEy1atMBee+0V2azlcdS8eXPMmzdPXD2v/PZU\nA3CpjFklonjyleUjhaWjmD9F02m0h9rlbANN5ozUUZc6plHPwWLr0Eud+SAdddN9tAWxNOeRAkua\nDr2UmZPqb5IugQyfPwrb2pSmvflY1dH12ZKeXUAOhEr3T/Mecn3X+ci8ApjVREQEAAUFBd76pLvs\nskviz0uXLrXuW7bqPCDPxxTU1VdfjbvuugurVq3Cs88+6y2wdOihh2LGjBno1KmTl+OFIW3jqJo0\naRLaDc1UHTt2xOTJk7Fo0SJs3LgRdeok/7pVtnpc2WeIqGrxMSkyEE2mgMQtEdkf14nKNbmjtgBI\nqhkRtjYgBQxs99X02a0BzqVpPz4m75bOYyq76dgu8z4FCRyYzmdbBFnT3qR9fAxl9SGKd4Dru07z\nPmXQiIhiqRjxGAoXUhnatGmDmjVrYsuWLZgzZ451359//hkAkJeXhz333DOU8lSvXh177703Pvro\no0oTa7twWcEuKnH5Tk/YGYkEds6x9PtJucr7+OOPAewcG3rwwQdHUjYiIiIiIiKiuKhWrRq6desG\nANb+MwBMmjQJALD//vuHOk/xli07f7oxJYlkK878HCP9+vVD9erVsWPHDjzxxBM49thjK+2zdetW\nvPDCCwCAQw45BE2bNo26mESUZppfBHxkLEkZDdk0oa3rUDZNXZgyZwDz/TKVy5b9JH2NsbWNVOvB\ntmKftJofIA+V8rGUvKmuCgx/L82xZKujIHMsme6Hrb34yDaKevimies7QlMXLll8gJ8FAIDMeR8S\nEWWS/v3747PPPsOCBQvw6aefJpI1yps8eTLmzZsHADjppJNCK8vq1asxbdo0AEDnzp1DO08ceQ0s\nzZ07NzEpVtu2bRNL/pX/+1SVP062a9SoEc4991yMHDkSzz33HP7yl7/g6KOPrrDPtddei+XLlwMA\n/v73v6ejmETkSdCUUU2HUPMbSQNhe4GwXTN8S+qwaSb3lTrrUnDCx5AsiWvn1rTNVHZbB9VlImJT\nEMZUDls707RBqaOtWdlM2sdUDtPnXL5xSNeTrB5N9z5Ie5HOVZ6PibWlZ08zybh0/6T5jTTvoQJh\nu/Qu1LTlMAN1DEgRUWAliMdLJMQynHPOObjpppuwdu1aXH311fjoo48qrJK2Y8cOXHXVVQCA+vXr\nY8iQIZWOUVxcjDVr1gAAatWqlTTbqKSkxLqa3I4dO3DBBRdg69adPw2dccYZTteVabwGlgYOHIiv\nvvoKAPDFF1+ge/fulf4+VeWPUxXcdNNNGDduHH755ReccMIJuPLKK3HkkUdi48aNePrpp/HSSy8B\nAAYNGoQ+ffqkubREFFeazpbUWbLN8QLoOlJS51Uzua/UiZYCdJrghHQMqT6llckA+5w3qQYzbHVi\nXvtzJ1sQzTQZsylAYDuWj8ndNZMmS0HBdSl+zmU1tSCZRKZ6srUXTXuTaAKu0j2U7p+mPjTvABvN\ne0h6l0nvQq4KR0QUXw0bNsTtt9+OCy64AJMnT0avXr3wz3/+E23btsXcuXNxww034LPPPgMA3Hrr\nrUlXU/vuu++w3377AQCGDh2KkSNHVti+Y8cOtGrVCn379sVxxx2HVq1aoVmzZqhduzaWL1+OKVOm\n4MEHH8T06dMBACeeeCIGDhwY8pXHC4fCxUzjxo0xbtw4DBgwANOnT8fNN9+Mm2++ucI+Z5xxBkaN\nGpWmEhJRJtD8MCR1+qQOn6bTKHX64zCfpIbrcuVAsOFrQbJqpM6+LdhnCjaY/j4O9y9IlpDt76Vr\nst1rKRCTSn3Zni9Ne5PabBST82tIdeI6jA1wf5fF4cd+IqJAsnzy7jJDhw7F8uXL8a9//Qsffvgh\nPvzwwwrbq1Wrhuuuuw4XXXRRoOPn5ORgxYoVGDVqlLUfnpOTg6FDh+Kee+4JdJ5M5jWw9Mgjj2D9\n+p2/d3bo0CHp36eq/HGqinbt2uGLL77Aq6++irfffhsLFixAfn4+2rdvj4EDB6Jnz57pLiIRpZHm\n32Yf/377GNohHcM2j4x2H+lflyLFOaSOpZTRoFmly9YBTnWOJZfghi0LKNUOtK3eNPdWogmgSNdr\nuneme1ZfOJ6tTFI7SnY/g2ROaYK60nOhGaYm1a10f6S6BOQ25yNA5voui+qdS0REwV133XXo06cP\nHn30UUyePBmrVq1Co0aNcNBBB+H888/HAQccYPxs9erV0ajRznzgunXrVtqem5uL5cuXY/z48Xj/\n/fcxZ84cLF68GOvXr0e9evXQpk0bHHzwwfjzn/+Mdu3ahXaNcZZTWlpamu5CUDysWbMGDRvunLa0\nNoCc9BaHKOuFOcdSJ8U+Rwnb9xG2S5McA3JZNT85rBC2L/VwDqlzKwWOmijOYVtqocDw96aOva3D\nL3X2bR1xU7DBlPFhC05ElREjXW+q2WAuw6KCTIhvChIVWY6zTDgPID83mudCekdJz0UzxTmkZ0cT\ntJVIdfGdsH2i4hwzFfsEDT4xY4ooXKX47d+51atXo7CwMJ3FcVa+T7f6BKBQM648ZGu2AQ3f2vnn\nbKhjqoxD4YiIiIiIiIiyTRWYvJviIZLA0sKFC7Flyxa0bt0a+fnSFIrBP0NEVBUEzXRKlZR9oRnq\nJP1CrxmOI5VD+iFOM4m0VE7pGJqsioIAnw8yhMdlCJQpMylIpoVmJS2pLWu+h0oTxJuuN8hqbID9\nuqR2kmx7kImhNRNeS+1Asyqc1P6kZ0+TtaZ5B9honpEosuc072UOlyMiomwVSWDppJNOwldffZXS\nCm9BPkNEVBVoOttRTGjro2Oq4RqckobBAO4dT9swtzK2AIIpWBHGalS2azVtC3IfNT8JSccNsyNu\nCgS4BCqDDNsy1bnt+dPUi2k1vDKa4XSu7U+zIqMrzXvIdaECzfuBP8YTEVFVxqFwRERpEmZHxMdk\ns1KnX5OR4iMwslbYLnUaNRMdS+WUgg2awIvtfpvKaLpHtnsndYJ9BmvCzp7T1KuPrKfypPoJMkdV\nmWTXYzqerdyaepHarObeuT5bmnK6ToyvCfpI7xAfq1dq9mHwiYgiV0VWhcsWP/74Iz799FOvx+zY\nsSMOOeQQr8dMJraBpZKSnf/85ub6+L2biIhSJWUC+Bhe4uN7hjT8qJHiGFJ2jY8Jhm0d+VQDSLYO\nvUsmWpSr0wFy8EOTjSK1Q9N207GDHg+QM3Q0dVLG1l407U1qs5q6lYa7pnI9Ji6BPM12QHetRERE\n6fbhhx/iwgsv9HrMoUOHVt3AUklJCRYsWAAAaNCgQZpLQ0QUjjBXhdMIsoJVedJQG0AOHGjmV5HK\nIV2H5hxS51aT9SSxdcJT7aDb2oCUFWGrL9NxTW3VNbAkZYppnhHpelMNlkls1+WyopxvrsO/NMeQ\nrkfz3EhzQUn318dQOB9B8jB/BmWmExERxV0ogaWyibfLbN26NfH3BQUFxs+VlJRg1apVGD16NFau\nXInatWtjt912C6OIREQZS5Plo+kouXamNIEDqaOtCRwUCduljqn0ecA+sTYQvwxul/IECWiaOs0u\nAS5AboM+OtRR5j1L9yXKwJKPYGmRsF2qW83cY1L2lfQOcZ38G/CTFRW3dwQREYCd/5DG4QXFCLnK\neeedh7PPPtu4/cMPP8T555+P2rVr45JLLsERRxyBli1bIjc3F8uWLcPUqVPx8MMP4/vvv8eIESNw\n1llnoXr1aHKJQjlL2cTbv9e/f/+UjjNw4EAOhSOirBXmv7FR/IqveTtLwSfNdx3XVd+kIUEA0Mxx\nuybIZssQMd0LUxux3V+XgKEp8JFqJpOWj2dACtaY2pip7C4ZcNJzl6wtm8phqxtNe5ParKaduM49\nJm0Hgq2kV54mQOaanal5n7LPRERErnJzc43xj/feew99+/ZF//79MXr0aOTlVfxXtn79+mjXrh3O\nOOMMXH/99Rg6dCg2b96Myy67LIqiR7ZqdUqqVauGAQMG4K677kp3UYiIiIiIiIiI0mLHjh0499xz\n0aBBAzz22GOVgkq/d+ONN+LAAw/EVVddhSVLlkRSxlAylu655x4UFRUl/v+wYcMwZ84c3H333Wjb\ntq3xc7m5uWjQoAE6depkHTJHRER2ml/PpV/ppSFmqxXn8DEcR9pH+oVEk90h7eNjCJOtLlKdvNt2\nf12yTFLNWHKtFx8rukllMJXdVLdSdosteyXIfEBh5WVL9eLjuZD4GG4nHUNa8Q2Q32XSOZiNREQZ\nqwTxeInFoQwZbNKkSViwYAFOPfVU1K1bV/WZfv364fPPP8dLL72ESy65JOQShhRYOvTQQyv8/3/9\n61+Jv+/evXsYpyQiqjI0qaaafaSOZ9AhRuW5Bq80+0iTEEexrLqmLmz1meocRnGYLgGwl0MTMPHx\nPTPqurBdl3TNqQSRggQiy3Nt05p9pPuneb6llfR8cH3X+Xrnsl9FRERBzJs3DwBQu7b+X82yfcs+\nG7ZIZnKaMGECtm/fziwkIiIPfHVOpE6uND+K5p82aeJdHxkpUodOKgMgT94tTTCsydyxBQNMWTJB\nMpak+rCV1fTZIJN3x2WsvamuTHUrzadjy2iS2nOyOgkyf5WmvUlttkBxDCkwJE2crSmn9Hxqnl+J\n9C7zkTXGoBEREYWlVq1aAJB0HmuTsn3LPhu2SAJLDRo0iOI0RET0f7Yq9ily3K55s0sdNh+rLUmd\nxgLFORoK26VOuobtnmiyR8qzBR1cOuqmYKGpjm3liKqjHXQ4nSmAJLVZW7DF55Aq2zC0fMXnpTar\nefakwJJ0DB8rWPrIeixyPIbmfUpEFEvFiMcvPXFJtc5QBxxwAADg+++/x+OPP45zzjnHuv+UKVPw\nwgsvVPhs2KJZe46IiLzxMcxNs4/0HUAaggbInUZNp3CFYh8bzXcZaR+XldY050h1riLb/mHMFxXn\n74NSsCbVsrvMTeSzHQXJcEuFj+dCyu7SPLtSIM9HgEy6DpcsP+0xAGY1ERFRMLvvvjtOPPFEvPnm\nmzjvvPPw008/4fLLL0fTpk0r7Ld+/Xo8/vjjGD58OHbs2IG2bdvi+OOPj6SMXgNLc+fOxebNmwEA\nbdu2Rc2aNSv9farKH4eIKJuE+QOSZphaE2F7Iw/ncFm6XXsMHxNrSx0+abumDLYOtM/AjcvS6aZ/\nbU0ZS7bMGc0QJqneNEED6XpNAVBTPYQ5kXMqbdV1eJZUd1EEOXzcPymwpHkPSe+yIg/n0Aj6zmdA\nioiIRo4cicMPPxw///wzbrvtNtxxxx1o3749WrZsidzcXCxfvhwzZ87Etm07v+HUq1cPzzzzDPLz\nNXnO7rwGlgYOHJgYy/fFF18kJuou//epKn8cIiIiIiIiIlLgULis0bJlS3z66ae44IILMHbsWJSU\nlODHH3/Ejz/+WGnf7t2747HHHsM+++wTWfk4FI6IKE2C/grta8iFy7Lqms8Dfr5HuE4yrsl5dV01\nynXy7lQn6bYdS7r3tt+tUs1MsmUlaeal8pGxJLWPVNuglEFjK5N0rmRlNT3Ptufcx2TTmjYrPTvS\ns6d5D0l15uMd4vou85UxxMwjIiJy0bx5c7z++uv4/vvv8corr+Crr77C8uXLUVJSgoYNG2LfffdF\nnz59cMQRR0ReNq+BpUceeQTr1++cMaNDhw5J/z5V5Y9DRES6zolmMujVwnYfc5tINPM0SdfiOleU\nRrp+aDMFF8KaY8m0TQogJOMj8OijI24qu+nY9YXj2dqj1FZTaUe2a/cRsPFBOofmPSQ9v9J7SqPI\n8Rya62DQiIiIorL33ntj7733TncxKvAaWOrWrVtKf09E/7+9O4+Pqrr/P/4OgSTKFoIosoksbrgh\nirjUpYq4ixWLSK3rV7S21rr81GrdW7XVutYiglJU1Kp1qwvuK4qCgAqKyr5vIRCWJJDM7w+aMYE5\ny9y5c2cmeT0fjzweYc695557Z5jc+cznfA4as6CZyT7ZCj41QYpTbPfJeHAFjny+cnDVYXIFUsLI\n3nK1+zwnqS4f7ysdAQVTn7aMJZ9MMdd1CyOIanr9mJ7TVFY6CyOzzec4Ubymw+jDp4aai+t1FMZ7\n3eoQjpFq1qINQSsAgdUoO95EsmEMSCumwgFAA+STYdLa0e5TfNkl1eXKpdSnuvkE8FINxvgcI8xl\nKGzXLZVggOk8TGO3feAudozDtb/klyniYuoj2cd9hBlYsm0bxnXxec27XtepTpWTUgvk+R7DtY3r\nvTBIxh4AAI0JgSUAaIDCmAoXxoepMDIWUs3mCWNlqjCm/dmEUTPHt68g0+hMj6e60l0U1z3ZgJ7r\n+gUJzPn2XVeqwU7XtfN5j0j1+vv833UdI1ghhfpcX5SHMRUOAIDGLLLA0pw5c1RRUaFu3bqpoKD+\nx5VZs2bp6quv1kcffaSmTZtqwIABuv3227X99ttHNTwAiFw6s4JdxWql1JfYDiPwFEY2ketDXxgf\noMMoZB5V8CiVGkum59T0PNmurc81CWOhGtdxks3Cco0plWyxZIJFqRxHCuc1m+r/rTCyolx86rS5\nrkVZivtLfufKTBAAkatRdqzIxhugl7feeksPP/xwqH0ec8wxuvDCC0PtM5FIAktr1qzR7rvvroKC\nAi1btqxeW2lpqQ477DAtXLgw/tijjz6q8ePH6/PPP1fLlj7rygBA7klnjSWfoE9xiu0+4whjKlyq\nfLImXNuEUQvIdl8XZcaSjek1mexqcVI4NZbCyHqqNDzuEyxIxPZch1mMPNUaS6lkriWzjU0Y/79d\nU3J97hJdz4srOOXzfhrm/+Et8XkMABqHmTNn6vnnnw+1z+222y7U/kwiCSy9+OKLqqio0BlnnKHC\nwvq3offee288qDRgwAC1bdtWzz33nL777jvdfffduummm6IYIgAAAAAADQfFu3NKhw4ddPjhh4fa\n5y677BJqfyaRBJbGjx8vSTr44IO3anviiSckSeecc44ee+wxSdIRRxyhCy+8UGPGjCGwBAABRDHF\nyGcKSlmKx5DcU/LCKIodxgpaLkEyGkzPo60vV5aJLfvC1Gbq09aXz/m6tvHpw3Wvmuy9bCr9BZlt\nYOov1QyYKF7TqUy7rOV6HynzG0rK47AJ4/0UAACXk08+WSeffHKmhxFIJIGlxYsXS5I6depU7/E5\nc+Zo9uzZklRv3t+vf/1rXXbZZZo9e7ZKS0tVUlISxTABoMHwqSu03NEexgfPVFeVktwfCl3n6vOh\n0PUh3jVOn2lVtmljyQYRbNfEFYizTS1K9gO47dr7FF12BWJ8rkvQldiSfbyW7fXkOp9kAk+2bX1e\nb67/Fz7Pj2sb1zF8Xk+p/t9a6XEMV7CwzNFO8W4AAOwiCSwtX77540vr1vUXdP34448lSc2bN1ff\nvn3jjxcWFqpjx4764YcftGTJEgJLAFCHz4fTMArzurgCGJL7g6VPNkmqAS6fGiypZl74nIftQ3qy\nNYyCZB3Vsl2PMANLPhltrteyT1DQ9dz5vE7rSiXTx/U6SHS9gtSA8nm9uZ7LMGpghVEg3DVOW0DW\n9xiu12IYqxNmQ21cANhKtaS8TA9CvEk2ApEEloqKNt++1AaYar3//vuSpH79+ik/v/7tS9OmkS1Y\nBwCNUqrBFJ9sEtOH5lo+wS1XcCGM4r6u4IPrXFM9D1OgwLRPuu7Pks2csr2GfPpyvQbDCCwle06p\nBDJdz0uivk2vnVQDS67z9gm4uf7vuDKafLKiXOcSxnS7MIJsAADALJLoTY8ePfTee+/pnXfe0Smn\nnCJJqqqq0iuvvCJpc02lLdVOn9txxx2jGCIA5IywVh9a52hPtS6J5P7Q6HMM14fbVJaHr+WTXWOT\n6pQ+04d8U9DMdjzX9bAFP5LNYku1L9frwyewFMZrrK5UsqhcrwNXENR3HGFkJPq85l3HcT0/Pu9V\nrnG4glNh1D9yvRf68DlXvrAHAKRqw4YNeuKJJzRu3DjNnDlTq1ev1pAhQ/TnP/85vs38+fM1adIk\ndenSRfvtt18k44oksDRgwAA98sgjevjhh7XnnnuqX79+uu+++7Rs2TJJ2qpA1fr161VWVqYWLVqo\nTZs2UQwRAHJGGEuwS+4PdK4PSj4fkl1ZEWEEr8JYKjzTGQ3JFpi2fZhO5VxM+5rGl8q0MMk9lcrn\nuQua0WK6hq5giu3/VpAgR7oWygkyLW9LrqBOqgFZyf0eEcYiAq7AUapT5SSCRgCyFFPhGpRPP/1U\nv/zlL7VgwYJ6j69cWb/iYFlZmU499VTts88+mjJlSiRjiySwNHDgQPXu3VuTJ0/WsGHD6rWddNJJ\n2nvvves99tFHH0mSDjvssCiGBwAAAAAAkJW++eYbHXPMMVq7dq2KiorUv39/lZeXx8sL1bXXXnup\nc+fO+uqrr7R06VLtsMMOaR9fJIGl/Px8/fe//9Wvf/1rvfPOO/HHTzvtNI0YMWKr7V9//XVJmzOd\nAADJ88mCcH155MoE8aldFMU0NVeGThi1ZFJdmU6yn2uyX+QlW5C6Ltu5GDOEDE9kM8sLzVV0WQon\nW8dZC8z0IkxDqpDr9ZwoA2iNYVvb697n9eK6Lj7/f12va9eKbD41loKu6lfL5zxc16vM0Z6urDIA\nAHxdeumlWrt2rXr37q2XXnpJnTt31vDhwxMGliTpZz/7mcaOHasPPvhAv/zlL9M+vsgqZHfo0EFv\nv/22Fi5cqMWLF6tbt27G1d5OPfVUHXrooQlrLwFAQ5HODythrBwXxnLlrnH4BGRcHxxdU/J8puyl\nWpzb53rbxmEK4pkCSLYP267XlS1gYSq23iTAi9VnmmMY9XGcryHD2E2n5HoubZciSJDTNB3Q9jz5\n/L9xvaZ9agKl+n9ruaNdcgd1wijOnuqqbz7/vwk+AchKNcqON6hsGEMOmz9/vt577z0VFhbqxRdf\nVOfOnSVJeXnmeY61taq///77SMYY+dJrHTt2VMeOHa3bHH744RGNBgAapjCK+7oCR6msnlXLJ7CQ\n6pLnZR7HSLXWj08GUbGlra3hcVNQLZki0FuyPe+mwIjpObB96C/weXJdF9b1xEjOm1VTgMYULEjl\nde16XhIN1XRtbacVRg01n0ubah9hFLT2CWC7uK5XqoEnAADSaeLEiZI2L3rWpUsXr33at28vSVqx\nYkXaxlVX5IElAED6+XymT3UKShgFrcMoRO764OlTADqM1a1cbB/CTedoGpftuUllefakV6GzHczn\nBeK68B59FDheIKZ2026uQs+2IIPrtZqob9M+PoEfmzCyBV3/t1ztYWRW+fz/dXFdC9d7XRiZdQAA\nBFVaWipJ6tSpU73HbRlLTZpE+9crY4GliooKzZo1S2VlZdpmm23UoUOHSIpKAQA2SzUr2Sco5NrG\nNPUqGWFkE7niF67z8FmZKkgwKMjKZelYeMXUZ77tYD6REdeTF8KLLOzrYesvyPRSUyDLFrTxeb2l\nWkNNClYzqq4wMqtctbrCCPoyQwNAg8WqcA1Cq1atJG1e7c3X7NmzJUlt25ry4sMVeWDpxRdf1H33\n3afx48erqqr+XefOO++ss88+W7///e9VXFwc9dAAICf4fP/g80HJ9aGvzNEexgdTH64aS2F8H5Pq\nsuk+WRW28yhO8vFUinf7fNjfkum5bm67UfSpqux6EYUwp9PUnOzjPoI8L6bAiG0cqz36TfU17SOM\nTD9Xhpir3aeWV6pT4XzeT8N6XwYAYEu77rqrJOmTTz7Rpk2b1LSpPYxTXV2t//73v5Kk3r17p318\nUoTZvRs3btQZZ5yhU089Ve+///5WQSVpc1Ttpptu0j777KMpU6ZENTQAAAAAAICss/fee2unnXbS\nkiVL9MADD8QfN02Fu/322zVnzhy1atUqsvrVkWUs/eY3v9EzzzwjSSouLtapp56qPn36qG3btqqo\nqNCPP/6o//73v5o6darmzZun4447TlOmTGF6HIAGK52RfZ9v8Z3LtDvafTI7XAknPuNMtTi3T5aA\naxzFjnbXdB1JamVpS7Zele2cXNfc9ryaMq+MRamLLZ35ZF67LlwIKW/NDUuTma6hK9PHNqQgGSmm\n5972evF5vbkuXVkIfaxxtPvMhnTNjghjxTbXe1mq9eZ8xxH0PZ9MJwCB1Sg7pqHxRpay66+/Xv/3\nf/+nK6+8UmvWrNFll1221TYLFizQbbfdpocffliSdNlll6llS58U8tTlxWKxWLoPMnXqVPXu3Vux\nWExnnHGGhg8frtatWyfc9qmnntL555+vDRs26JJLLtGDDz6Y7uHhf1atWqWSkhJJm9P5s2E6LoCt\n+Xw48fkT4vrc7/ow5fOZ3zWNxYdrnCWOdp9r4VrNy3WM9h7H6GBpKzY8bppaZRtv4r+uP7FdT9N5\n5puiH7a5Xz5L17leZD43w65IkKEQULUhMlrq6G6lpc01RS3R/wfT8Mss/SxyHEeSljjaXecpuf//\numos+RzDdj19hPEyc72X+YzRZ/U6PlcB2Smmn96LS0tL1aZNm0wOJ2V1P9OV7i61CaMYXYpWVUsl\n327+vSFc40z51a9+pSeffFKSVFBQoDZt2mjp0qXq0KGDWrZsqe+//1614Z3DDjtMb7/9tpo18/l6\nJHWRZCw9/fTTisViOuSQQzR27Fhr9fIhQ4Zo48aNOvvss/XMM8/o/vvvj7yiOQDkuhBK04Syv2sb\nnw+FruyMVDOvfARZ7SuZbZL9Lsl2TVzX1JYdFeq9ZxjfkIZRId7AdK6u7DHb9Q3yOjEN3/Z68Xm9\npfr/W0o908cns8p1DNe5RvH/O4xacQAApGrMmDHq2bOn7rjjDlVUVGjp0qWSpEWLfvrKKS8vT2ef\nfbYeeuihyIJKUkSBpdp6SZdccok1qFRr6NChuuyyy7RixQotXLhQnTt3TvMIAaBh8fms7frA5vqw\n5XOMML6hd/Xh+tDn8yHcNWUnjCLFtoCEKfHHFOSwHc91PWznalz9zXQBbCflSvOSwine7UonMbyQ\nTefqei3YhuR6HSQ6XdM4bJfW5/Xm+v/rmsYmuS+/qz2K//9hBNlc72XZMIsEAAKpUXZMQyFlMxRN\nmjTRjTfeqIsvvljPPPOMPv74Yy1atEhVVVVq166d9t9/f51++unq1atX5GOLJLBUuyzeTjvt5LV9\nfn6+OnXqpFWrVmnVqlUElgA0SEFzMX0+VPqsUpZsXZ8ggiy/vqWyFI/h812NazUvW70bye+Dp22c\npmk0pn1S+aBry44yBpBMLxbbxY0q9d71YjeMPd/w4qtx3PzaAhlljqEkep5N/wdsr5cwgro+U7dS\nqTclRRP0CaOenKvd5/NQOj8z8XkMAFDX9ttvr9/97nf63e9+l+mhxEUSWKqtp1Q3RcsmFotp8eLF\n9fYFgGyQKxNzfT5suQJLrg90PkGhKD4UpjoGyf3BzXWuPh/SDTWkJZnHWGx43JbN4ppWZ00kCnJA\nk7IA+6RDkmMvcRQGsgVLXDWFEgVqygL05fN6c71mfYIVqWbqhPH/2xWc8hmjK3DsioFGMbXYJsy/\nOwSpAADpEElgaa+99tK4ceM0cuRIDRo0yLn9Sy+9pBUrVqhNmzbq1KlTBCMEgIYl1Qwan3afD1Ku\n4JVP1pQrIcX1ocvng5Rr+pPrXH2uhc8KWb5s5+z6kGzMSpLMn/JNj9s+sUeREie5X6imKIzhnKzX\nR1IzywsqzACA7fUSRn0zn9ej6/+O63zDyJx0tftcC9c4wqghDwBZKVvewLJlHEibSAJLp59+uu66\n6y6NGzdOf/jDH3TnnXeqoCDxn/kPPvhA559/viTpF7/4hfLzs6CMPQAAAAAAQJqsWrVKCxculCSV\nlJSoQ4cOWz2erLr9pFMkgaW+fftq8ODBeuaZZ3TvvffqxRdf1BlnnKH99ttPbdq0UWVlpX788Ue9\n/vrrevPNNxWLxVRcXKwbbrghiuEBgLcwpxEEzW4IIxtJck+nieLLJZ9x+tRpSZXruQgjE8X22jGd\no+mrFVuGhWsqXLFlIC0rDQ2mtBFbOkmxYyBS6uvAS+4XcpnhccO5ljv+k9umNLqmwiUaqum5T/W9\nxvWazZb/e1GsuJbqynJpXJzQC9PXAKBxeOaZZ3TxxRdLkoYNG6bhw4dv9Xiy6vaTTpEEliTp0Ucf\nVWlpqd566y3NmTNHd9xxh3Hb7bbbTi+88IK6dOkS1fAAoNGJIpgSRp2XVAvvhrHQahjTAm3xj2Sv\ntSt4ZGO9HqZG0ydv2xPoc1FcFzaMT/SmeVCGc03l9eI6nUQrsZleF7bXSxiX1ofr0qY6ndZnG9eU\nPZ+89ijqtAFAVmJVOEQkssDStttuq3HjxunRRx/VAw88oKlTp261TUlJiYYOHaprr71WO+64Y1RD\nA4CcEtYHKVdNY9cHPteKUZK7PopPgCTV+ic+9zKuD+quc/Uppmy7FqZSRabn2taXawW7ItsFNQ3E\n9LhtID4vQteL2Sfi5nqCCw2PG87Jen0ktbL8x3C93hOdrqk7W5ZNGCu6+QSnXJfW9RT7lNkKWiKr\nls95uN7rUi0gLvkF0QhQAQBsTjrpJPXo0UOSEtaaPvHEE/X73/8+qT6jqlkdWWBJkvLy8nT++efr\n/PPP1/LlyzVjxgytXr1aRUVF6tChg3bbbTfl5WVDSBUAEguzOG86K8iF0XcYH4LCKN7tGodPgMsl\n1RXyfD5U2sZpajN9qC6z9GVrk6Ryy2Bbmg5oukCmoI0ktXcMRHJ/4veJGixxtK80PG44V9v1kVK8\n9gkeMz33ttdLGEGMMAKuLj6BY9f/vTCyBVNdnTKs9+psqBpK0gDQyGRLRDtbxpHlOnbsqI4dO1rb\njz766AhH5C/SwFJd7dq1U7t27TJ1eAAIJBtuyn0+nPh88Ex1iW2fIJvrPiKMTADXB8tij2OkuoCZ\nz4db27ma4jOmD7y2LA5THKWW7S9vS1M0w3SCtv8QPhlLtsCUFM6NqGnshnMtc3Rnu76u7JpE7Ymm\nx0n210sYS9v7vOZd25SFMI5UMxJ93odc7yGpvhf6Cvpyzoa/OwCA9Hvttdd0//3364QTTtDvfve7\nTA8nKRkLLAEAgvH5cBLG0vbp/ExfK4wPbK4Pvz4fPFO9Xj7Xypa9YTqHZGemSe6pcLZ9ky7SbYsK\n+HwaDqPGkisqkOQ5bet40dqur/XaGtqDFMj22cdUh72Wz2ve9X8n1Wwjn23CeB9y9eF6n/K5VnwZ\nDwBI1bx58zRu3Dh17do100NJWuSBpYqKCj333HN655139N1336msrEzbbLONOnTooH79+unMM89U\nt27doh4WAAAAAAANR7ZEvbNlHFmutixQTU3u5apGGlh64YUXdPHFF2vp0qVbtU2ePFmvvvqqbrzx\nRv3f//2f7r77bjVv7iq+AAC5K+ifjLDqPKW6KlwUNZh8hFGDyZU1EUZWlO0YSc7Wsk65Mk2t8hmH\nkSkzyXZhWnv0G0aNJdf8sySXBAuyslst12stUbvpFG3j8HkOXVlNUawsF8b/7yAZXVsKY2XIMOTe\nxwQAQJRattyc3z5nzpzMDiSAyAJLjzzyiIYNG6ZYLCZJ2m677bT33nurTZs2qqio0MyZMzVjxgzV\n1NTo4Ycf1vTp0/Xmm2+qqCiM2xIAaFx86jClOo3F50NSqqsx+YzD9cHT56+IawqTa5w+18IW/zAF\nplzTmRIpdrTbamq3N11M00BsLzSf74aKHe0+y5+5XuymsRvOdbmju62/GvvJfMe+ixI8ZgpU2U7d\n5/WWau0iyR18crW7pmVK7nG62sOoJxfGMcKqwwQAaLz23XdfSdLbb7+t+++/X8cdd5zatGmjdes2\n37RUVFRoxYoVSfW5zTbbRJKwkxerjfSk0Y8//qg999xTlZWV6tmzp+69914de+yxatKk/q30nDlz\ndMMNN+jxxx+XJF133XW67bbb0j08/M+qVatUUlIiafOHLNbnA7KTT3aMz58PVzAl1WXAJfeqUD6B\npVRXffNJnEn1KwyfQJ6taHaJ4fG2hsd3sPTV0zGOvSxte5iekK6mHWydOQYiuZ8cnxfZDEf7VMPj\ncxI/PN3xwv/a0vaDYyiJglKmYuClln5cwS8pmhppq0M4Ri68D/m8B/lkVpGxBGSnmH76f15aWqo2\nbdpkcjgpq/uZrrSj1CbMJY0DWlUjlSzc/HtDuMbp1L9/f7399tuh9Tds2DANHz48tP5MIslYGjly\npCorK9WlSxeNHz9e2223XcLtunbtqjFjxqikpET33XefHn74Yd18883Kz8+GBVoBIHf4fKh0fWAL\n4xv4KArvhpHXmmqR8WKPY9g+vBYYHo/8XjDZJ8w2QJ+ooenEk+kj6EXKQL2HREM1XYJUp2+FPEMw\nUB9hTLcL42lK9b2M0iAAgKg89dRTOv/88/XKK68oghyg0EQSWJo0aZIk6aqrrjIGleq69dZb9fDD\nD2vFihWaO3cuxbwBIElRBIXCWOY7jGksLmFkG7jiHz7BLVsGiuk6mMZly3wodozDFnCoNnRsfA5s\nkQWfi+JKJfH5RO96ckxdG87VFZCxZQvZpslJ0pIkjmcbh0/AxvW691npLNXEeZ//uz7nYhPGqo+u\nl5nP+xTZSACAMGy33XZ66aWXtGjRIk2ZMkVlZWV6++239dhjj+nnP/+5zj333KT622WXXdI00voi\nCSxVVW3+k967d2+v7Vu2bKnu3btr2rRp8X0BAJv5fIAJ40NOGNkyrg9kYRzD9VfCp05RoaM9jMwM\nW6DA1L8p7pJKPMe2b2PKDzadq+u5tl3fIFlAptdOqoEl11h87q5swVDJ/f/G5/XkCuq43suieJ+i\nfhKAnFWtzXP9Mo3oe9I6dOigDh06SJLWrFmjxx57TD179tSvfvWrDI8ssUiy7GszjsrLfWbCK75t\nfn6+unTpkq5hAQAAAAAAZK3u3bvrtNNO03777ZfpoRhFkrF05plnavTo0frPf/6jY4891rn9xIkT\nNW/ePJ1++unadltXWUcAwJbSWZqmls+XT2FMp0t1morPX5FU6zT5ZJAUW9pMU45Mj6eSNWNtNzUG\nebGEsexYGKkiprEbzrWZ45ipZIslej5NU9ZSzVhyZQv5THNz9ZHqNDYfYdQ3cr18Xe1hrF4JAEBQ\n/fv3V//+/TM9DKtIAkv9+/fX//3f/2nUqFE6/PDDNXToUOO2CxYs0FlnnaVOnTrp73//exTDA4Cc\nElaqqetDYxh1R8KYKuPi6sMnaJTqVLdU6ziZVgYzTVeyPTemFeZqWZ8304UIEuEK48n1ebEHieZI\nxnPd6Hhh22oszXcMJZkaS7bXi8/rzRVQDaPofTYIY6qr66XqE0T3eakyEwRA5JgKh4hEElhauXKl\nbrrpJrVu3Vpnn322nnjiCQ0dOlT77ruv2rRpo4qKCs2ePVtvvPGGRowYoV133VWPP/64mjZtqiVL\nEt2GbS5q1bRpJMMHgAYp1dWYsmD1Wi8+AbBUg2g+WRW2ws6mWjbFhsdt9apdQTJTn5KktobHTcWe\nbNEJnyI+rqrpYRQTMo3dcK7FjqiN7XCumkRzEzxWZtjW9poLY9VHH7nwOSCMRQRy4TwBAMhmkURm\nBgwYEF8ZTpLeeOMNvfHGG8btJ06cqAMOOMDa5xdffKH9998/tDECQEOSLctjuz6whfGBLhvO1Sc5\nx/YB2LS/6dxs2SitHOOwZm8kGy20BX580mpcLwCf6EjQ+ViGc3Vlt9iurytLKNHzmexz78t1WaKY\nxpYrxeCz4T0EAIBcRsoPAOSYqL5dDyMjKRs+sOVCNoIpucf0HNiCAmscx7Iuo7Ha8Lgps8h2cX2K\nW7miYK6MJh+mPgzn6lpmxHZ9gwRzTM+97dL6/L+K4nXveo/Ihv//PnLhPQIAAsmWN7hsGQfSJpLA\n0l/+8heVlroSxJPTvXv3UPsDANQXxTLfYciGexWfMdi2CTNRKCWmgZhST1KpZC2504N8IhOuqXCm\nsafhBRwksGRKysqG17UL7xEAAECKKLB0zDHHRHEYAECEwipoG8ZxGhtbzKbYsa+13VSPyBS8sQV+\nTNlPdbmmuvlE0Fx9mMZuONdix/dgxZa2hlIQOyxRvEfw/gAAQOYxFQ4AAAAAgIaGVeEQEQJLAIC0\n4T7iJ0GKdyf7uOS+5tbZZabsn2Qfdx7IcxufF1DQJf0Mj6cyJFex6kTtQf6PNKT/Vw3pXAAAaKwI\nLAEAkKVMQQ5bTWtX8W7bDLWOppXcTAOxzf0qcQxEMk+9q+WzstxKR7tp7Ia+XTP4bNfXVWs8V4pZ\nAwAAJIPAEgAAGWYKOCRbS1ty1/mxxnJMK7kVODpNxKc+kivFx6cPV8qL6YIYzrVlWbDuJPfpJEKw\nCQCQNtmSFpot40DaEFgCACACQVaFM+1jWwituWMc1sCSaWfTAW2BH5/FYMsd7a7C3JJU5Wg3RXsM\n5+pKorJdX9cCdcncV3MPDgAAcgWBJQAAcowt3uKajmWL5RSbAkWmtBpbJMUVoZHcUTCfjCXXdDnT\n2A19u2JdtuvrEwcDAABoaAgsAQAQgVSXVa/LFsBwxWKs7aZGU/qMbe6XK2gkuYNPPhfNtY1p7IZz\nTeX6hRlYsp0W2UwAAC81yo5V4bJhDEirMO9zAQAAAAAA0IiQsQQAQIYlW/TZVkC62LGvtd1UvNv0\nNZQtRce1WpvknrfnMxXOtY1p7IZzLXZ0Z2t3FU5PxPTcU9QbAJCyakl5mR6EyFhqBAgsAQAQgSDT\nl4KsMubax1pg2rT6m2mnbMh7DnrChnN1FeAO8pzYmAJITHcDAAC5IqsDS9XV1aqoqFDz5j6FGgAA\nyE3JBhFsiT6uRCHbYm3Fpo5NmUmmQJTkTv2R3DWWXIW5fbYxjd1wrq7F7GzX15WAlSiIRAAJAADk\nuki+a/zd736nOXPmJLXPvHnzdPjhh+vbb79Nz6AAAIhQkwA/Jvkp/FhtTPKnyvLjs3+F48fWf+2P\nq49kz8kh7Gsf5usCAIB6arLoBw1aJBlLn376qfbdd1+NGDFCv/zlL53bP/fcc/q///s/lZWVpX9w\nAABkWLLTq2zTtVxJQK1tjaadTcWDbDeKrvQdyV1IyGeZNVcfprEbzrX1cnt3tusb5jQ6aiwBAIBc\nEUlgqVmzZlq9erUGDx6st956S/fdd5+23XbrqpkbNmzQZZddphEjRkiSWrVqpbZt20YxRAAAMibZ\nIIIt3uKqZW2bOdbWJ5BTVyoRLklyzXT3Kd5d5rFNIoZzdc2ssw3JdfkIFgEAgIYokozqp556Sgcd\ndJAkaeTIkdp///319ddf19vm66+/1v777x8PKh144IGaMmWKdt555yiGCAAAAABAw1GdRT9o0CLJ\nWOratas+/PBD3XDDDbrzzjv17bffqm/fvrr77rv1m9/8Rg899JCuuOIKVVRUKC8vT1dddZVuu+02\nNWvmSioHACA3hFlewDbLzFV8uszS1rnc0OCTObQlW2HvWqZparXCuBE1jd1wrmWO7mzX1zX7jxIT\nAACgIYpsVbimTZvqL3/5i4466iidddZZWrx4sS655BLdfffdmjVrliSpffv2GjNmjPr37x/VsAAA\nyLhk04dTmYFmbd96lvpmpuJAtsCPT40lF5+AlitaYxq74Vxbltm7S6XGUjLPM0EoAACQKyILLNU6\n6qijNHXqVB133HGaNGlSPKh05JFH6umnn9b2228f9ZAAAEi7IHPPTTERWxFoV3DDmiRk2tn0uG0g\nPpWqXRfF56K5tknynFxJVLbr6zrlRO2m2JzttAg6AQC8VEvKy/QgJMUyPQCkW+SBpZqaGo0YMUJT\npkyp9/j06dM1efJkDRgwIOohAQCQdrZggCmIYAo62ApMu6bC2RY9a7/a0BAk+8iU/VRXsaPdNDUv\nGaaxG87VsSic9fq6Cn8nM7OP4BEAAMgVkRTvrrV48WL1799f119/vaqrq9WjRw/9+c9/1rbbbqul\nS5fquOOO01VXXaWNG5NdlgYAgNxVY/gxqbL8bHT8ZFVdzSws9Okaku3a2p6XKsPxkn3uAQAAsk1k\nGUtvvPGGfv3rX2v58s3fBZ555pkaPny4WrZsqV/84hcaPHiwvvrqK91111364IMP9NRTT6l79+5R\nDQ8AgIwxfctjmlplq4vd2nGstrZGUwGh5obHbXO/fOojueaOhdGHaeyGc21bZu/Odn1d9cp9ZgfW\nIrgEAEhZTExDQyQiyVi65ZZbdPzxx2v58uVq3ry5Hn30UT355JNq2XLzXd1uu+2mCRMm6JJLLpEk\nffHFF+rdu7fGjh0bxfAAAMgptoyaSsfPOsuPKgw/QdKfCjx+mjl+8j1+gqYYGc7Vdn3WOa5tFiZg\nAQAApF0kgaWXX35ZsVhM++yzjyZOnKhzzz13q22Kior04IMP6sUXX1RJSYnKy8s1dOhQTZ06NYoh\nAgAAAAAAIEmRTIXLy8vTb37zG/39739XYWGhddtTTjlFU6dO1ZlnnqmPPvqIeksAgEbLlOVimyFW\n5ujTWtzbtHOminf7zB1zbWMae1nih13Fzw27SXLP3CNrCQAQpWzJmM2GMSC9IgksjRgxQr179/be\nvlOnTnrvvfd06623qmnTyBeuAwAgK5hiJrZYiiueYyqjZG001SlqZunL53shVyTGpw9X7nWSNZZa\nOiJLPvEyk0TPGzfbAAAg10UStUkmqFQrPz9fN910U/iDAQCgAStytJviLNadTQEkW4XpIFlOW/Ip\n3u0KPpnGbjhX6/Ux7yYpueLcAAAADQXpQAAA5BjT0vWSeyrcSktbN9POpiCRLd3GFaGR3FPhyj36\ncElyKpzt+lh2k2R/XgAAiBpT4RAVAksAAOQYW6KQK4En1MqFtqlwrtQpyT2vzOdO1DaGAFK5frbn\nBQAAoKEisAQAQATCXIbV1lexY992tkZTjSVTkMgWSfHJNnIFjnymwrmiOaaxG8613Xp7d8WWtqie\nYwJYAAAgmxBYAgAAAACggalRdnwZkQ1jQHoRWAIAIAK2m6pkM12y5gbNlnHkk23kOnGfPrKocEOY\nz0vWPMcAAAAOBJYAAMhSppiJrc5PmaPPUlujaRqY6YC2+kYljoFI4RTvXu5oN43dcK7W6yP79XXV\nZ8qiGBgAAEBoCCwBAJBjbIk+rlrWhbZG0875jk4T8Um5cUVawojEmMZuOFfr9THvJincGksAAKSK\nVeEQFQJLAABEIEjQwRQTscV5Wjn6tLY3NzxuiqbYUnRWOgYiuae6+UyFq3S0m8ZuONdWjpQl2/Vz\nxd8StZtutineDQAAcgWBJQAAIhCkxpIp6JBKaaOqII2mA9rSd0xBqrq2dbT7RONcKVqmsRvO1Xp9\nZL++YSZgETwCAKSK4t2ICoElAAAyzHTDZYqr2BKF1jmOZS1bZMr+MR3QlqLT0jEQn21cJyO5A0um\nsRvO1VXWyTYkV42lRLjZBgAgHNOnT9eoUaP02WefacWKFdpuu+3Ut29fXXDBBerVq1dKfVdVVWnC\nhAl6//339dVXX2nx4sVatmyZtt12W/Xo0UNHH320hg4dqpYtfW6AGh4CSwAAAAAAIGfdc889uvrq\nq7Vx409f83z//fcaP368HnzwQd1+++268sorA/e//fbba/Xq1Qnbpk6dqueff1433XST/vWvf2nA\ngAGBj5OrCCwBAJBhydZfSmUGmrU92eLdtnlhZY6BSO4UH58aS65tkizencr1cyVPJWJ67slkAgCk\nqkbZUTg73X/TxowZo8svv1ySdOCBB+r6669Xjx499OOPP+rPf/6zPvvsM1111VVq27atzj333EDH\nqKjYfMOx++67a8iQITrssMO04447atWqVXr11Vd11113aenSpTr55JP1zjvv6NBDDw3t/HJBXiwW\ni2V6EMgOq1atUknJ5vWht5WUl9nhAECDEmbx7hLLPhc4+hxiaeu6k6Ghm+Hx7pbOOjgGIrlrLPkE\nlhY52n8wPD4r8cNz5tq7e8rSNtIxlER1wYPc8BN0AoDwxCSt/9/vpaWlatOmTSaHk7K6n+lmSyrO\n6Gg2K5O08/9+D/sar169Wt27d9fKlSu133776ZNPPlFRUVG8vbKyUoceeqgmTpyoNm3aaNasWSou\nLk76OPvtt59uueUWnXDCCcrL2/qT8qeffqrDDz9cGzdu1D777KMpU6akcFa5h4wlAAAiEGbxblui\nj6tGUJmtcb3hcdMBbSk6xY6BSFJrR7vrZKTE0Zq6TGM3nGuZozvbkFwJWBTvBgAgXKNHj9bKlZuX\nor3rrrvqBZUkqbCwUHfffbcOP/xwrVq1SqNGjdIVV1yR9HG++OIL5eebi0sedNBBGjp0qEaPHq2p\nU6dq1qxZ6tbN9M1cwxPkC1QAABCiGsOPSbXlp8LxU2n5ce685c9Gy09UbGPY6HkedX5s16fSsbvt\neTEFlZJ97gEA8OX6uxTlT7q88MILkqQOHTroyCOPTLjNYYcdps6dO9fbPlm2oFKtPn36xH+fPXt2\noOPkKjKWAACIQJhT4Qos+7jWIrEmCZl2dhUeSsRnRTfXnabPVDgX09gN59rakSVlu76250WyL6KX\nDAJPAABINTU1+vzzzyVJBx98sHXbQw45RE8//bQmTpyo6upqr0BRslatWhX/fcvMqYaOwFKINm3a\npG+++UYTJkzQ559/rs8//1yLFy+WJJ111lm65557vPtauXKlHn74Yb366qtasGCBCgsL1bNnT51x\nxhkaOnSomjQh2QwAkGG2qXA+lazDuOfizyEAAI3SnDlztGHDBklSz549rdt27765MGRlZaVmzZrl\n3D6Il156SZLUrFkz7bXXXqH3n80ILIXo6KOP1gcffJCwrbzcp1DEZuPHj9dpp52mJUuW1Hv8hx9+\n0GuvvaaHH35Yr7zySs4XlgOAxiTMGktVlr5cJYeWW9p2M+1syj6yZRz5ZDm5aiyFETQyjd1wrrbr\nY9lNkv15kaixBACIVrZMr647hrKyMuu2yXzGXbp0afz39u3bW7fdcccd6+0XdmDpmWee0aRJkyRJ\np59+ulq1ahVq/9mOwFKI8vLytM8++6hv377q27dv/PdkzJ49WyeddJJKS0vVrl07/e1vf9Phhx+u\ndevW6fHHH9ff/vY3ffLJJzr11FP17rvvkrkEAAAAAMgJroLWySxav3bt2vjv22yzjXXbuu119wvD\nrFmz9Jvf/EaS1KpVK/35z38Otf9cQGApRG+//Xa9uZoVFckXh7j66qtVWlqqwsJCvfvuu9pzzz3j\nbXfccYd22GEHXX755frggw/05JNP6qyzzgpl7ACAxsFaUSDM7yp8Cni7tklnEXDDuYZfcQEAAKRD\nTc1PuVCuhIu6n9Orq8MrJ7569WqdcsopKi3dnNM8YsQIde3aNbT+cwWBpRClWgBswYIFeu655yRJ\nF1xwQb2gUq3f//73uv/++zVnzhz9/e9/J7AEAA2Y6a+K7a+Nq3h3cZBGU6e2gbjmhUnSeke7T2DJ\n9afXNPZiw8OOMdmur2soidrTuVIOAKBxS/eKbL7qjmHWrFkqLi4Opd/mzX+ad+9K6qitxSRJLVq0\nCOX4GzZs0Mknn6xvvvlGkvSXv/xFgwcPDqXvXENgKYu8+OKL8dS/M888M+E2TZo00eDBg3XnnXdq\nypQpmjNnTqOMiAJAY2a7SXQtxmat+GcKqpgetw3EtUSaJG3rsY2L6445yXNyVUS0Xd9suHkHACCb\nFRcXh1YruKSkJP77ypUrrdsuX/5TFcW6+wW1ceNGDRo0SB9++KEk6f/9v/+na6+9NuV+cxWBpSwy\nYcIESZuryO+///7G7Q455JD4759//jmBJQDIcckW1rQl8qx27Gu97SozPJ78zG6/oJErvSqMiqOm\nsZclfth+W2q/vq4Eq0SBp2woqgoAQC7q0aOH8vPzVV1drdmzZ1u3nTt3rqTNiRqpFu6urq7WkCFD\n9Nprr0mSLrnkEt15550p9ZnrCCxlke+++06S1LlzZxUUmL/qrVvw7Ntvv037uAAA6WWqChBkKpwr\nnlMcpNG0wlszS18+09hcASuf6XSuzCjT2IsND5fZu7Nd3yBT4UwIOAEAUpWNU+HCVFBQoD322ENf\nf/11PEnDpLZ9t912U1FRUeBjxmIxnXvuuXr++eclSeedd54eeOCBwP01FASWssiyZcskJbdUYt2U\nPh+rVq0ytrmWfgQAZD9brEeSrLdSpp1NkS9b9MMny8k12EqPPlx3q6axG47tutV0DRkAAETn5JNP\n1tdff61vv/1W3333nXbbbbettvnhhx80bdq0+PapuPjii/X4449LkoYOHapHHnlEeXl5KfXZELBW\nfRapXfYwnUsllpSUGH9cSz8CAAAAAJAtzj33XDVrtvlrn5tvvjnhNjfffLNisZiaNm2q8847L/Cx\nrrjiCj388MOSpEGDBulf//qXczW6xoKMpSxSW7jbFfGs2153iUUAQMNiSsaxJem4ik8HqrEUpHh3\nGDWWfAQt3l2W+GFXjSXb9XUNJRumIwAAGo8aZcfU6nSOoXv37rr00kt199136+mnn9YOO+ygm266\nScXFxVq9erVuvvlmPfnkk5I210JKVF9p+vTpOv744yVtzkL685//vNU2N910k/7+979L2pz1NHbs\n2JRXhW9IGl1gab/99tO8efNS6mPhwoUqLCwMaUQ/ad68uVatWpXWpRJLS0uNbWVlZWQtAUAOsAUo\nXKWNrO0+dZHqss0L8ylf4Aos+URifFafS8RwrqlcPwJHAABE74477tCPP/6ol156Sffdd58efPBB\nbbfddlqxYoWqqzf/dT7xxBN11113Jdy/qqoqXtw70epyy5Ytq5cNNXHiRGcB8DvvvFODBw8Oeko5\np9EFlkpLS51LEbrUZhaFrW3btlqwYIGzblIqSyWGtbQjACD9sqZ4tylIZPsK0pU65cOUbVSXK5pj\nGnux4eEye3epFO9OdLkIRgEAkJqmTZvqhRde0KhRo/TPf/5TkydP1tKlSyVJ++67ry666CJdeOGF\ngWshbTlLaNGiRc59ysvDuBHKHY0usDR58uR41DKoVKrI2+y6666aOnWq5s6dq+rqamNq3Zw5c+K/\nJypOBgCASahJ26mkTvls49NHyJEZktoBAA1FjbLjC4wopuPl5eXpggsu0AUXXKCqqiqtXLlSJSUl\nXjON9thjD82ePVuS1LLl1unU7dq1i7f72m677ZLaPtc1usBSNmfs7Lfffvr3v/+tiooKff3119p3\n330Tbld3KcX99tsvotEBAKIW5GYwpRpLawyPm2Zo26bC+STUtnW0l3n0Md/Rbhq74VxTqbHkioNl\nw809AAANXUFBQb2V1H2279q1q7E9Pz/f2g5Whcsqp5xySvz3559/3rhdbVuPHj20xx57pH1cAIDc\nkZ/Cj7GhieHHpsbjpzqEHxfT2A3nmtL1AwAAaIQILGWR3XbbTUcccYQk6R//+IcWL1681TbPPfec\npk6dKkm6+OKLoxweAAAAACBH+HzHE9UPGrZGNxUu29111106+OCDtWrVKvXv31+jRo3SgQceqKqq\nKj311FO65JJLJG2ux1T7OwCgYTJlwdi+FXIV77bOUDOt0mYqLWib++WzToZ9EVR3uyRVOdqTLN5d\nYl8/w3p9g3xbx/Q4AACQ6wgsheiJJ57QZZddZmx78cUX4/9u0aJFvSLctfr06aMxY8bo7LPP1rRp\n09SvXz8VFRVp48aN8aLjO+20k1577TWvQmQAgNwVJOjg+lbQpx62N1uNJZ91LlxRMB8FAfczXFzX\n9bFdX9e1J4gEAIiS76zxdMuGMSC9CCyFqKKiQitXJv6KtrKyUpWVlfW2NRk8eLD23HNP3XHHHXrt\ntddUWlqqvLw8devWTYMHD9Y111yjVq1ahT5+AEBmmAISpgwY2w2aq3h3ma3RtLNP5tCWTNlPdbmK\nd/sULnKlCZnGbjjXMkd3tuubjkAgAABAtiOwFKKzzjpLAwcO9No2Ly/P2t6rVy89/vjjkqT169er\nWbNmatbM9tUwACBXhVnw0PWXwppIlOyfGVtUZL3H/q7jrfPoI2gKluHYRY7+wv5LbHruCTgBAIBc\nQWApRIWFhWmZnrbttmHMFQAANBS2RB7XX4xiW6Mpy8gn+2hLPkEhlyCZUltK8pyKHQEx2/V1JVgx\nFQAAECWmwiEqBJYAAMgxthu0Skub5Ij3mHY2ZfHY0nd8glHFjnbXvD7XGCTz2A3n6oqH2a4vN84A\nAKAxIrAEAECGJTvtyTZ1bo1j31JbY5nhcVOAxzZtzKeotqvAt0/GkmsqnGnsZYkftl4fua+vDdPb\nAABAQ0RgCQAAAACABqZG2fGlRjaMAelFYAkAgAxLtni3rZaPKwnIOkPNVEDI1WkiPtlGrqluYdRY\nMo3dcK4tHTWWbJfCZxE7X9yEAwCAXEFgCQCABsQ1A625rdEUdTIFnGz1jXwKDrm28YmuuGosmcZu\nONfmjsCSzww/AACAxoTAEgAAGWaKn5gymWzxGFcNoJW2RlOBIVNmkW0gPllOQVab25Ir+GQau+Fc\nrddH9usbpHg3mUkAgHSpUXYsLMHfuoaPwBIAAFkq2YCT5F4Vzjb7rMpQCLvANCXNdqfoE1gKo3i3\ni6EP07m6Zue5rq8NN9YAAKAhIrAEAECGhVljqdCxb4mlrcCUQdTK8LhtGppPUMgx7cwriuO6eIax\nm861xBFZsl1faiwBAIDGiMASAACNSJjBD2t+vSEjqJ6qFNul0CMwoV4fAAAyqFrZMRUuG8aA9Er2\nS1IAAAAAAABAEhlLAABkXJjFu101gpZb2qoMOxeYKlbbsoV8CnMXe2yTKsPYTedquz6S/fpSvBsA\nADRGBJYAAGhAXIGKQOnopvlhthpLtrZaruLdPgXAXcdJcm6b6/oQCAIA5IoaZcffrWwYA9KLwBIA\nABlmykwyxURs89hdsZhiS1vBtoaG5o5OE3GlTknuoI9PH65IkGHspnMtdhQUt11fV4wrmRtrbsIB\nAECuILAEAEADklLGjanR1KntYD6pUa5tfPoImqJl2C8tGV8AAAANGIElAAAyLNnsFFtwY51j3zJL\nW0VF4seLDI9bM46KHQORpPaOdp/pdK5tDGM3nWuZozvb9fVZCG9LZCYBANKFVeEQFQJLAABkWLJL\ntCZZNsj7WMYYTZAD+txFVjnaw4i6GMZuOtdUlst1XaZEl8R0PAJOAAAgV6Ry/wQAAAAAAIBGjIwl\nAAAiEOSbnCDFuwscfRbbjmcq3m2qWG3LSlrtGIjkTstxzeuT3PPPDGM3naureLft+gZ5jk2X0NYX\n2UwAAB+sCoeoEFgCACACtpuqMNOHXTPQrHGYZO/8bHO/XMvTSZIpkFXLZzqdTx2mRAzn6opTRVUn\ngptwAACQKwgsAQCQYWEGERwJN8GKd/tkDm2ppcc2bR3tqRSTqmUYe9Di3bbrG2RFOQJIAIB0oXg3\nokJgCQCADAszY8nVly1Wk/Q4UlmeTnJnLPn0EfBu1XSurlhW2MUpKd4NAAByHYElAAAiEGaNJdvs\nL9fMsGJLW4Ep0GPKPrJFYVxzyiSp3NFe6dGHi2HspnN11VhK5donQo0lAACQ6wgsAQAQgTBrLNmS\ndFzxHMMMMPvOpsdTrbHkM13OxVWtPMlzsl4fS3dSuKn+BI8AAKmqUXZMQ+NvWsMXdkY3AAAAAAAA\nGgkylgAAyLBkv8mzffvoKt690tJWbkjHaWmaslZl6cwnY6m5o92VPuQag2Scbmc6V9v1kezX12f2\n35b4FhcAAOQ6AksAAOSYVApw2+I9haYGU/Eg20BcAR8ptXlnvgxjN52rKx5mu76uwt/ZMB0BANB4\n1Cg7vsDIhjEgvQgsAQCQYcmuUGYLbrhKDtnKGhWYoiqmnWzVqn2CQmEElgKesOlcWzrGZDtcmPUF\nuAkHAAC5gsASAABZKkiGS8CZYZv3NQRVCkw72QI/PkukudKD0jgVznSuroXqbIdzBYPIWAIAAA0R\ngSUAADIs2ewU2/auWEyZpW214fF2psJCtkhJGKvChTEVzjB207mWObqzXd8whgsAQFiqlR1famTD\nGJBeBJYAAMhSQaZWuer8tLK0tTY1mAJAtnlhPtEyVyTG50404FQ407naro+UWn2rRJjyBgAAch2B\nJQAAMizZgIQtuOGagWYs0C2pwDQQn2ltW1rnsY2rX9e8NMkdfDIcw3SuhY5Ij23IQYp3my45AScA\nAJArCCwBAAAAANDAMBUOUSGwBABAhpmyU0zZLLYbNNfsMlsS0DrDQJqbso9slax9aixt62j3KVrk\nuls1jN10rq4kKduQgtw4k5kEAAByHYElAACyVJCggysWY6rDLZkLUzc3dWqrb9TcMRBJauto97kA\nrhpLhrGbztV2fSzdSSJIBAAAGicCSwAAZFiUNZZsC7EZ23yCRFvyqbG00tHuU2PJxTB207m6Fqqz\nXV/XtU8mo4kgFQAgVTXKjr8n2TAGpBeBJQAAGhBXAWnbDLWki3fbIiWu1B/JPVif4FTIxbuLHHe/\nriEDAAA0NgSWAADIsDBrLNnKHkn2WE2FYSBFpvlftiiLK/VHkto52n1Wo3NFekxT4Qzn6opl2a4v\nNZYAAEBjRGAJAIAslWzASUqxeLfh8SJTQSKbMIp3BzmuZx+mc02leLcLQSQAQJRYFQ5RSbasAwAA\nAAAAACCJjCUAADIuyuLdtjrcxrYgNZbWOAZi67dWmUcfAWssmc7VVafcNuQw6y+R3QQAAHIFgSUA\nACIQJEXYFKiw9ZVK8e4iU8emaIstyuITGXHNK/PJnXedsGHspnNNpXh3kOfYdIq2vgg6AQB8xJQd\nfzNimR4A0o7AEgAAEbDd2AUp0m3iKktkSyRaZxhkc5/V2bbkU7y7JEC/W3JFcwxjN52rK9HKdn1d\nN+/JPJ/Z8EEAAADAB4ElAAAyLMwgQirFu8sMjzdfb2hItbi2ayqcTwqQ64QNYy8zbJ5K8W5X4Ihg\nEQAAaIgILAEAkGHZUmOplamh0PB4gaUzn+XTTAGrZPpwTYUzjN10rtRYAgA0FKwKh6gQWAIAIAJR\n1VhysQVGTPGjQDWWfLjuNH3uRF0XwzB207mmckrUWAIAAI0RgSUAAAAAABoYMpYQFQJLAABEIKri\n3a7ZY2WWttWGx9uZdrLVWPJJ/XHNO/Op4eRK3ylL/LDpXA2bx9muL8W7AQBAY0RgCQCADIuyeLet\nrJGpcHW7IEW6izy22dbR7rManStaYxi76VxTKftE8W4AANAYEVgCACDDwize7erLFstpbWpoaXjc\nlpXkk57jClj5FO92ZUYZxm46V1esy3Z9Kd4NAMgmNcqOvyfZMAakF4ElAACyVJDi3a7ghm0hN2Ob\nqVPbnaIr9cdnmzCmwhnGbjpX2/WxdCcp3OLdAAAAuYLAEgAAGRblVLg1AdpamgJAtqhIGFPhgkzB\n25Jh7KZztV0fKfwaS3yLCwAAch2BJQAAslSQoEOVo70ySJspgGRL33EFjSSp2NHuE1hypQkZxm46\nV9v1kezXlxpLAIBswqpwiAqBJQAAMizMGkuuqVyFljZjLMgn+2hLPlPhykLow8UwdtO52q6PZL++\nYQaOCEIBAIBcEaQcAAAAAAAAAEDGEgAAUQjyTU6Q4t0utuQjY5tr5bVEfKaxlTva13n04UrtMYzd\ndK5BkrNqhVm829YX2UwAAB81yo5paPzdavgILAEAEAHbTZUpiBDkZtBVY8k2u8wYCzJVrLZFP8Ko\nseRzAVzRHMPYTefqmn1nu75BincH7QsAACBbEFgCACDDogwi2BKJjEEV0062gftkObmCT66MJh+G\nsZvO1ZVoZTtlincDAIDGiMASAAAZFmbxbldftqlexsLVQabC+RTeXu1oT+NUONO5uqbCRVWckiAU\nACBVNcqOvyfZMAakF4ElAAAiEFWNJVvQSbIHTpon22ALOPnM+3LN2/O5E3UFvQxjN52SK7Dkur7J\nosYSAADIdQSWAACIQFQ1llxsSUDGaWA+hbi3ZIxS1dHS0W6q7ZQMw9hNp+RKkrI9J9RYAgAAjRGB\nJQAAAAAAGphqZceqcNkwBqQXgSUAADIs2eyUINlPtWz1sMsMj7c37WTLZPKZ+1fgaPeZd+bKajKM\nvSy5zb0OR5YRAABojAgsAQCQpcKsy1TLVkPI2GZqsB3MJ8riqrHk8xVnwGrlplOKusYSwSgAAJDr\nCCwBAJBhUa4KZ6t1bSyLZFpCLdXi3a5sI58aS65Ij2HsQeqRS6mtCpfokpj6I+AEAEgVq8IhKgSW\nAADIManUKlhvaTNNA2tn2inV4tphRHFcYzCM3XSutusj2W+OqSEBAAAaIwJLAABkWJjf5Ln6sq16\nZmwz1VKyRVJ8VoVr5Wh3RXl8GMZuOlfXqnBhLFQHAADQkBBYAgAgS6WjxpItSSjpGkuujCOXMFJ8\nXGNIssaSq7tUZ/9tiekBAIB0YVU4RCWVUgEAAAAAAABoxMhYAgAgw6Is3l1gaTNmLAXJTHLNKZOk\nMke7qRBSXa6vQQ1jN52r7fpIFO8GAADYEoElAAAyzBRESEdacZWlzVg/yNSQavQjnUuw1TKM3XRK\ntuuTDgSQAADpwlQ4RIXAEgAAWcoUdLAFI1yxGFsSkDHJyBSFsR2s2DEQSWrraPeplO0qKmXow3Su\nriQp25AIEgEAgMaIwBIAABkW5VQ4VxwmKbZIik9QyLTaXDJ9hPw1aCrFz12BpWSGSpAKAJCqmLLj\n70ks0wNA2hFYAgAgAmGu8Gbry1UjyBYYaR5kJ5Ooaiy5GMZuOlfXqdqub5BpdKZgk+05zoYPCQAA\nALUILAEAkKWCBB1cWTG2oIRxX1OEyxaF8QlGGSNZ/7Peow9XipGh3XSuYWYdhbkvAABAtiKwBABA\nBMLMMvGZIWayxtJmTBAyZR/ZIiWuoJEktXS0+2Q9uRj6MJ2r7fpI9lN2PS9kGgEAokTxbkQlHQvO\nAAAAAAAAoBEgYwkAgCyVjm9/Ak2FMzXYUnR80qpc24TRh2HsQafCpSLR80kWEwAAyHUElgAAiEBO\nF+8uCtCZT967a1U4nz5ctZwMY09H8W6XsIJIBKMAAD6YCoeoEFgCAKARsd3cJX3jZyuc7SqqLbmj\nOD59hJzWxc0vAABAcggsAQAQgTCzTFIJfhgLdNvaTA22jCOfgI8pE6qWT2Cp0tFuGHtZcpvHVVna\nghRVJ/sIAADkOgJLAABkKVPQwRazcQUqbO1JB0ZsgR+fOWOujCVXuxQ4Y8l0rqlcPxeCSACAKNUo\nO/72ZMMYkF4ElgAAyLBkYyO2eE4qsZptTQ3pqrEUsPC29xgk49hN5xpGrCsM3IQDAIBckY4FZwAA\nAAAAANAIkLEEAACCsWUc+cyrc60K59NHkMJGAAA0AqwKh6gQWAIAIMPCnPbkSkVeZ2lbb2pwBYAS\n8ZkzZpx79z+u4t4+DGM3navt+kiprarH9DYAANAQEVgCACDH2AIUruCFLcHHGBgJUkXcJyjU3NHu\n04dr5TjD2E3n6kqASuXaAwAANEQElgAAyLAwi3e7+rLFaoxJRkEqVvtkOZU72l3pQz4MYzedkiuW\nZbu+rsuUzFQAglQAgFSxKhyiQmAJAIAIRLVahiuBx6bA1GAavO1O0Sew5NrGpw9XtMYwduO5Otiu\nb1RTGrlBBwAA2YTAEgAAEQgSDDAFF1Ipgmmb6lVlaggyFa6lx2Bc2/hkLLnShAxjN52raypcoKmE\nFgSJAABAriOwBAAAAABAA1Oj7FiRjS9RGj4CSwAAZKl03IjZMm6MM89MO9kG6DMnz5Vt5NNHwGrl\npnN1ZVFvwqcAAEDHSURBVCzZbtC5cQYAAI0RgSUAADIszPpLrliM7VhJ12eyRVl8prGtd7SHUWPJ\nwHSurucilRpWySBIBQAAcgWBJQAAIhBV8Mh1HFuSkHFFtMJkd5BfBCaM/HxX1pNh7Kahu7pL5XlM\n5nQp3g0ASFW1smMqXDaMAelFYAkAgAjYggFRrRgn2ad6GduCRDJcERrJHpjy7cPFMHbTubqmwkWF\n4BEAAMgVBJYAAMiwZIMIqQSpbLPLyk0NpmltPlPVbMIIHLkiQYaxm87VdUq2wxEMAgAgc9avX6+X\nXnpJn332mVasWKHttttOffv21cCBA9W8efNQjlFRUaHJkydrwoQJ+vLLL7V+/eZ5/TfeeKP22muv\nUI6RiwgsAQCQY1Kpk5TKNLqkOgujGFEaCxqZzjWV6+dC4AkAEKUaZcffnijG8Pbbb+vss8/WokWL\ntmpr3769Ro8erQEDBgTuf+XKlRowYIC++uorbdy49ddMF110EYElAACQOckGdFIJDtn2NSYQBSlI\n5FNQIYw7TVfWk2HszQyFw1Mpfh6mbPggAABALvj444914oknqrKyUttvv70uvvhi9ejRQz/++KOG\nDx+uJUuW6OSTT9Zbb72lww47LNAxNmzYoEmTJqmoqEh9+vRR3759tWbNGo0ePTrck8lRBJYAAAAA\nAGhgGkPx7k2bNuncc89VZWWlOnbsqM8++0ydOnWKt1944YXq16+f5s+fr3PPPVffffedmjVLfi7+\ndtttpy+++EL77LNPfP/Ro0cTWPqfKOuFAgCADKu2/Gw0/BgbbD81Hj+2wdgGFMKPqck1JAAAkD2e\nfvpp/fjjj5Kkv/3tb/WCSpLUoUMH3XXXXZKkWbNmaezYsYGOU1RUpP333z9QUKoxIGMJAIAMy5bi\n3YbZYeadbJGWQsdAJMlVR9O1apwPw9hN50rxbgAAcsezzz4rSSouLtagQYMSbvOLX/xCJSUlKi0t\n1bPPPquzzz47yiE2CgSWAADIMakU7w7E1KntS7sCj35dX/r5fCkYtNq2azW5gIezIfAEAIhStmTb\npnMMH374oSTp4IMPNmYTNW3aVIcccoheeeWV+PYIF4ElAAAyLMri3bZYjXFfU4MtUrLOMRCfbVzp\nQ5L7btUwdtMpuWJZFO8GACA7LFq0SGVlZZKk3Xff3brtbrvtpldeeUXl5eWaP3++OnfuHMEIGw8C\nSwAANCCujJpAAQvTTql+BekaTBhfcSZ5wq7NbdeXYBAAAHa1gSCTNm3aePe1cOHC+O8dO3a0blu3\nfcGCBQSWQkZgCQCADIsyIFFlaTMmCJkCPLYoi6t+kiS1dLT79OGKpBnGbjpX2/WR7DPoXHEwAk8A\ngCjVrpWRaXXH0K1bN+u2sVjMu9/y8vL4782b228a6ravXbvW+xjww6pwAAAAAAAgp1RV/fR1UNOm\n9pyZgoKfij9WVlambUyNFRlLAAA0IrZvLo3ZOAELXTtF8fWWYeymU8qGb3YBAGioZs2apeLi4lD6\n2nbbbeO/u4JFGzZsiP/uym5C8ggsAQAQgTBjKLbZX6kUnzb2a9rJNvfLp/D2eke7Tx+uoJdh7PmG\nCFIqxc+jQvALAOCjRtmxKlzdv1vFxcVJ1VGyad26dfx3V+2m1atXx39v1apVKMfHTwgsAQCQpUyB\nnkDBIY92Y7+mnVJZns61v0+75I70GPpoYojOpDIkV4wr0b7ZcMMPAEAu6t69u/Ly8hSLxTR37lzr\ntnXbe/Toke6hNToElkIUi8U0ffp0ffrpp1q4cKEWL16sWCym9u3bq1+/furfv79z7mddX375pV59\n9VUtWLBAhYWF6tmzp0477TR16NAhjWcBAEgHW5ZJkIQgE9c+tuCHMYk8yFS4AvcmKnS0FwU47pYM\nYzedq+tUUwkEJbMvWUkAANi1aNFCXbt21ezZszV58mTrtl9++aUkqXPnzvUynRAOAksh+fvf/647\n7rhDy5cvN27TqVMn/eMf/9DJJ59s7WvFihU677zz9Morr2zVdvnll+tPf/qT/vSnPykvLy/lcQMA\nMi/KIIJtdpmpzfR4kW0JtTBScXz6cESCkj0n1+w7VoUDAOSKbFwVLmzHHXecHnroIX355ZdaunSp\ndthhh622Wb58uSZNmiRJOv7449M4msaLwFJIvvrqq3hQac8999SAAQPUo0cP5eXl6fPPP9fYsWO1\nYMECDRw4UKNHj9avf/3rhP2sX79exx13nCZOnKi8vDwNHjxYhx9+uNatW6ennnpKkyZN0o033qh1\n69bpzjvvjPIUAQARM2UypTIDLci+SU+Rc7WFyXHCyZ6Ta9hh1xvPhht+AABy1a9//Ws99NBD2rRp\nk+655x7dcccdW21z7733auPGjfHtEb4o1mNpNI499lh98skn+vrrr3XXXXfpoosu0rBhwzRq1ChN\nmjRJ22+/vWKxmC655BItXbo0YR9/+ctfNHHiREnSY489pqeeekoXXXSRrrjiCk2YMEG//OUvJUl/\n/etfNWHChMjODQAAAACAbHLggQfq1FNPlSTdfffdeuKJJ+q1jx07Vn/9618lSSeffLIOPvjgrfqY\nM2eOBg0apEGDBmnEiBHpH3QDlBeLxWKZHkRDMH/+fHXu3Nm6zb/+9S+dc845kqQHH3xQl1xySb32\ntWvXqn379lq3bp2OP/54vfrqq1v1UVZWpi5duqi8vFwnnHCC/vvf/4Z2DqtWrVJJSYkkaVtJTLQD\ngPBky6pwLS1t1xoev8C0wx8snZ3rGIgkuWpnLvDo4wlH+y2JHx5p2Px2R3fllrZ01meqiywnAAhP\nTD8tUlpaWhraimWZUvcz3cUKp1xhqiok/fN/v6fjGq9atUqHHHKIvv32W0nSrrvuqh49emjmzJn6\n7rvv4o+NHz8+fm3qmjJlinr37i1JGjZsmIYPH57wOLfccou++uqr+L/nzp0bTwr52c9+pu233z7e\ndvTRR+uiiy4K5wRzAFPhQuIKKknSMcccE/992rRpW7W/9tprWrdunSTpwgsvTNhHcXGxTj/9dD36\n6KN68803tXr1aoqPAUAOCFK8O4hUineHWmMpDBmosRRVcMiF4BEAAH7atGmjzz77TP/v//0/Pf74\n45oxY4ZmzJghSdpmm200dOhQ3XXXXSl/bv7www/1zjvvJGz76KOP6v27uLg4pWPlGgJLEdq0aVP8\n95qarW8Z33//fUlSXl6eDjvsMGM/Rx55pB599FFt3LhRn3zyCQXIACDHJRtEsG3vylgKUrzbFGyx\nfgvqEy1zfY3qOhkPprEHLd5tu/ZBFs8DAACpa9WqlYYPH6677rpLX331lVauXKm2bdtqr732UsuW\ntnxtaeedd9azzz4rSerevbtxuxtvvNE7C2nnnXf2H3wDQGApQh988EH891133XWr9tosph133NGa\nHrj77rvHf58+fTqBJQBoZNJVINE0xS5Q8e4CjwPmOUplN/PID3IEn4IW6Q7C9byQhQQAiFK1osu0\ntYlyDC1atEhYR8mmdevWGjRokHO7n/3sZ0GH1eARWIrIxo0b4xXqmzVrpl/84hdbbbNgweZiEh07\ndrT21alTp/jv8+fPT2ocq1atMraVlZUl1RcAIBzJBoqiXhUuUBDGZ5pcleNWs9KjD0cXyQbLXOfK\nVDgAAID6CCxF5E9/+lM8I+k3v/mNdtppp622KS/fXBK0efPm1r7qtq9duzapcSQqVgYAyCxTEMEU\n/LAFN1LJZjKNw3g820B8IiNhRGkcxzEdIh2BmyCnQwAJAADkOgJLEXj66ad15513SpL23HNP3X57\n4jVnKis3fzXbrJk9r7+g4Kf5BbX7AAAAAABQq0bZ8QVGNowB6dXoAkt/+MMftHz58pT6eOyxx5zB\nn1rvvvuuzjnnHEmbaye99NJL2mabbRJu27x5c61Zs8YZLKqo+Km0qCu7aUulpaXGtrKyMnXr1i2p\n/gAA6RPkRsy1j22Gmqn4tLFP27wxn/WNtym0txd6fHniSNEyjd10rq4ZfLbry40zAABojBpdYOmF\nF17Q3LlzU+pj5MiRXoGlCRMm6JRTTlFlZaVKSkr05ptvWgM3rVq10uLFi7V69Wprv3XbW7Vq5T9w\nyVoUHACQ+1zTsWxxGNO+2VD4M6iwzymXrwUAAEA6NLrA0r333pt0XaIt1Z2KZjJ16lQdd9xxWrt2\nrVq1aqU33nhDe+65p3Wf7t27a8aMGZo3b551u7rttuUQAQC5IcxV3lxfe9iSjJIu0m1K+5GkCktb\nrSpHRpLPbO+AaUKmc01ltTjb5UgW2U8AgFTVKDu+EOFvWsPX6AJLAwcOTPsxvvvuOx1zzDFatWqV\nmjdvrtdee00HHHCAc7+99tpLr732mlatWqU5c+aoa9euCbf78ssv6+0DAGhcUgl+hHo8WxTLZ8a4\n60R8Im6ObaK8VtmyohwAAECUwvySFJJmzZqlo446SsuWLVNRUZFefvllHXLIIV77HnfccfHf33jj\nDeN2tW1t2rTRgQcemNqAAQAZV5PkT7XlJ5V9qww/pu2tmnn85Bfaf4rk/sm3/4R1rj7XN5V9t/wB\nACBVrr9LUf6gYSOwFKIFCxboqKOO0qJFi1RQUKAXXnhBP//5z733P/TQQ+NZSvfff782btw6qX7a\ntGnxwNIZZ5yhpk0bXdIZADR66QpubEzyJ+kdtupgk/0n1f43Jr9LOoN6AAAADRGBpZAsW7ZMRx11\nlObMmaNmzZrp2Wef1bHHHptUH/n5+brtttskSd9++60uvPDCeivEzZs3T7/85S9VU1Oj5s2b6/rr\nrw/1HAAA2aVJgB9HAo81gQgeSVaWnyDPFwAAQK4j3SUkF154ob7//ntJUufOnfXvf/9b//73v43b\n77nnnrrmmmu2enzo0KH6+OOPNXz4cI0ePVqvv/66DjroIK1bt04ffPCBqqqqlJ+fr7Fjx6pDhw5p\nOx8AAAAAQO7KlozZbBgD0ovAUkjKysriv8+aNUuzZs2ybn/UUUclDCxJ0kMPPaQ999xTt912m5Ys\nWaIXX3wx3ta7d289+OCDOvjgg8MYNgAgCySbuWIrEu3qK0gxa2OfqRbvdt2GNPOoyuA44TCvrZRa\nnYhE+5rGx004AADIFQSWQnLdddfpggsu8N5+xx13NLbl5eXpkksu0UUXXaQvv/xS8+fPV2FhoXbZ\nZRf17NkzjOECALKIKYhgCjqEHdyoVWF4fOuKf64GhRMZ8TlRx3FMQzSdq+uQtsMFeV4IIAEAgFxH\nYCkk/fv3D73P/Px8HXDAATrggANC7xsAkP3SEXSwZfAkG4SxRlK8UoWK7M35lfZ21xiUfLDMFRyy\ntRMkAgBkk2xZkS0bxoD0IrAEAECOscVsXFO5bO2mGz/jPrbOvKbCOQJLzVa7u3CcsKk56XP9n1SC\nRwSeAABAQ0RgCQCALBVk1bB01FgKxDZNLs6YC7VZBiIxqdRYcn0jm+i5IdgEAAByHYElAAAgyRwL\nSl+NpU32Zp/c+Sp7c9LnBABAA8GqcIhKkC9DAQAAAAAAADKWAADIVsmuFmfbp5YtCSjpgta2gRQ6\nBiJJKrY3F61zd+GYu2Yae9Di3dRYAgAAqI/AEgAAjYgtDhM02JL0geIctyE+fYQcWHIdkil0AIBc\nwapwiAqBJQAAMizZeem24IerryBz4I2ZNrYUHEdd7s3W2pt9+nDUWEo2Sygd1y8IspsAAECuILAE\nAAAkhfyNYhgZS2mM4vDtKQAAQDgILAEAkGFhZqekEosxJQgFqrFU5HPE1vbmoqXuLgJOhfNKqEpS\nOuszAQCQrBplxxcp/P1r+AgsAQDQgLhu3mztpvpBxrpCtoJDXneym+zNPgWNHMdJ9pxSuX4AAACN\nUVSlAgAAAAAAANDAkLEEAECGZXvxbmNSkC1byCtjqTLggetwpBAlOwWA4t0AgIaiRtnx9yQbxoD0\nIrAEAACsjIGsAstOtra45vZmnz6a2Zu9aogDAAAgMAJLAADkGFsWjiujJkiNpUAZS1FxjMHUHLTG\nUgpDCf14AAAA2YDAEgAAGZZscMEWPHL1ZQt+VBkeN9bQTnkqnKN4tw9HgW9Ts+lc07myG0EkAECU\nqpUT3wGhASCwBAAAgrHNM3NMUdusyN7sU9DI6zgAAABIFwJLAABkqYa/dKvjNqSBFUhK9HySxQQA\nAHIdgSUAALKUKeiQroCTadqYcbaZbRqaY4raZhX2Zp8+Ak6F8xpeyAgiAQCixFQ4RKXhfxkKAAAA\nAACAtCBjCQCAHJNK5ovtGyXTN4qBvmkMo8aSTx+O6XLJnpPrXG3tZCQBALJJjbLjb1M2jAHpRWAJ\nAABIMt/4GYMptihVgc8RW9ibQyjMbRo7N7kAAADhILAEAECOscVzXPWug9TDNgZhbNGZKp+eQ6ix\n5EgxSjaA5Lo+qQSkCGYBAICGiMASAACQFGB6WMrVODfZm336d2wT6vQ+AAByCMW7ERUCSwAAQJI5\no8aYaWNL7/GaCldsb3aUYHKOQQHOCQAAAEkhsAQAACRlImMp/chYAgAASC8CSwAAAAAANDAxZUeG\nbizTA0DaEVgCACDDbMW4w+4rSPFuYw1tW3Ftr+LdawMe2H8bny7qcl0fW6aTKwsqmec5Gz4IAAAA\n+CCwBABAjgkSHKoVZhArpeXpJDmLKDVLcQwBpNJdKkEpAACAXEVgCQAASAq5HpFPUMgVWEolgvY/\n2V5jicwkAEC6VCv0718CyZa/uUgfAksAAGSYKbhguhm03aC5biBtgQxTW6CpcF5z0DbZm33uRANO\nhUvHanHcOAMAgMaIwBIAAI2ILfBkCowkW6dIkme2UfpvQ0xjN51rNnyzCwAAkEsILAEAkGHJBjNC\nmCGWUNIZN7aBhDEVzqePgBcjHdlFQWosmZ57psgBAFLFVDhEJRteZwAAAAAAAMhBZCwBAJBjUqmx\nZGPKkqky7WCbIxfV15OOeXqmsacjI4hvZAEAQGNEYAkAgAxLNshhCx65+rK1m2I0xthNuiMpPhfG\nMYZkzymV6+fC9DYAQJRqlB1/e7JhDEgvAksAADQitjiMqc24T8o1llrYm/ML3V3kV1qbkz0nso4A\nAACSQ2AJAABIalxBlcZ0rgAAAOlEYAkAAFgZp8IZiy/Zdqpjmwp7e8yejeQcg+cwAABoiFgVDlEh\nsAQAQI6x1SoIsuS9a99AtRG8psIV2ZvzUp8KZxq76fFUbn6pIQEAABojAksAADQgrsBIkG8uA9VY\nKvDpubmj3RF4kgLXWAqKb10BAADqI7AEAAAAAEADU6Ps+EKEjN6Gj8ASAAA5xpZ15JoKZ2s39Wus\nU2QrYOSofSRJ2sZVQ8lRg8njOKYhms7Vdf1SuTnmxhoAADREBJYAAMhSURfcNAVVjN922r4G9Yqi\nbEqx3X0c0xBN55rOYt+Jnk+CTQAAINcRWAIAoBFxZeQkEqjGkkd5JHeNpRbuLpqstjYnOwXAdX1Y\nZQ4AkCtqlB1fYGTDGJBeBJYAAMhSphsxWyZTKllOSWfx5EDhBtPYg2Ys2a6v63JwYw0AABoiAksA\nAGSpqKfCmTTEGkuZwFQ4AECUqiXlZXoQyo7voZBeBJYAAMiwZANIQaaz+RzL1BbohtBrkIWOdp/b\nFHtwyjR207mmI+PLNhbT8Qg4AQCAXJEtX4YCAAAAAAAgx5CxBAAAJIW8Ulozn41cFb59KoCvs7Ym\nW2MJAICGguLdiAqBJQAAMizZIt22qWmppCKb+jVWOrJFnHyiUQWbHBt41FhyHMfUQzrqPQTpk5tt\nAACQ6wgsAQCQpYKsChe0T5tAq8J5pQS5bkM8blMCrgoXsLuUEEQCAAANEYElAABgFax4t09kqdjR\n3sLdRZPV1mZWogEANFasCoeoEFgCAACSzBk1gTKWvLimwrnaFThjiewhAACAcBBYAgCgAUlHwMQY\nWLLNM6v2iDrlhxBYqrI3Byo8bkFACgAAoD4CSwAAAAAANDBMhUNUCCwBAJBjbFkzrspGtps7U5tx\nH9vBvGosuWooFbm7cBwm2XNK5eaXbCYAANAYEVgCACDHpLIqXBDBAiY+txiuwFHqtylRBntczwuB\nJwAA0BARWAIAAMHY6hvFKt375611bFDh7oP8egAAEoopO77UiGV6AEg7AksAAMDKGLvJhrtVxxiI\nOwEAAKQXgSUAABCMbe5XXnOPDood7T59AAAAIJMILAEA0Ij4lNTekjHrZ6Ntr00BjuR9ZO9Nks1Y\ncl0f6ykDAJBFsiVrN1vGgfQhsAQAQJYKUqQ7lcLeSQedbFEWrxpLrhpKHjWWAkZ6TOfq6s52fV03\nzon2zYbZhAAAAKmIemEZAAAAAAAANBBkLAEAgPDlFXpsVJRiOwAAMMmWKWjZMg6kD4ElAAAgKew0\nZp9bDFfgyCc4FQwp2wAAAOEgsAQAACSZ6/0Y6wBZv4L0qI/k3MajTpPja9CkzwkAAABJIbAEAAAk\nZSKLx7VyXBgryyVGxhIAoKGrkZSX6UGIL3MaAwJLAADAyhiEsS4j51MfKYSpcI6l7AggAQAApBeB\nJQAAYBXsm8b0ZRslg29JAQAA0ovAEgAAAAAADUy2rMaWLeNA+hBYAgAgS5mybWzTu1LJ0El63422\nRp+MpRCKd1vHYBb0OkV6fQEAAHIAgSUAABCMtYCRzy2Gq8aSRx8UUQIAICGKdyMqBJYAAEAw1sLZ\nPrcYrm1SL94NAACA9CKwBAAAgrEWTYhoKhyFGwAAADKKwBIAAAjGmtvuE1hybZMdK8sBAJCLsmUK\nWraMA+lDYAkAAATTzNboqp8kSS0c7c3dXTAVDgAAIKMoeQkAAAAAAIBAyFgCACDHpJJSbqtqZCpX\ntNDw+MOzzH0Na7POPZh9fm9v/8HdxTOL7O2msZtGt9FxPFtJJ1L9AQDZpFpSLNODEH8fGwMCSwAA\nNCCumzdbuymost7w+BWWvq4qcwxEkj7w2MaBm1UAAIDMYiocAAAAAAAAAiFjCQAA5CzXN2RkNAEA\nGqts+RuYLeNA+pCxBAAAAAAAgEAILAEAAAAAACAQpsIBAICcRXo9AACJsSocokLGEgAAAAAAAAIh\nsAQAAAAAAIBAmAoHAAAAAEADw1Q4RIXAEgAAAAAAyHnff/+9JkyYoBUrVmi77bZT3759teuuu+bs\ncXIFgSUAAAAAAJCz5syZowsuuEDvvPPOVm1HHnmkRo4cqW7duuXMcXJNXiwWy4bsOGSBVatWqaSk\nRJK0raS8zA4HAJDDoiriSHo9ACAVMUnr//d7aWmp2rRpk8nhpKzuZ7pWyo6iyjWS1vzv93Rc4zlz\n5qhfv35aunSp8vPzdeyxx6pHjx768ccf9cYbb6i6ulrbb7+9PvvsM+28885Zf5xcRMYSAAAAAADI\nSWeddZaWLl2q5s2b64033tChhx4abxs/frwGDBigZcuWaejQoRo/fnzWHycXZUMAEwAAAAAAICnj\nxo3Txx9/LEm66aab6gV7JOnggw/WLbfcIkn69NNP9dprr2X1cXIVgSUAAAAAABqYGm1eGS7TP+mc\ntv7UU09JkoqKinThhRcm3OaCCy7QNttsU2/7bD1OriKwBAAAQlcT0Q8AAGi83nzzTUlS37591apV\nq4TbtGzZUv369au3fbYeJ1cRWAIAAAAAADll1apVWrx4sSRp7733tm67zz77SJKWLVum5cuXZ+Vx\nchnFuxFXU/PTd78sFQgAAACgoav7uafu56GGoFrZsdJ33WtcVlZm3TaZFeNmz54d/71z587WbTt1\n6lRvv3bt2mXdcXIZgSXErVmzJv77hgyOAwAAAACitmbNGrVt2zbTwwhNNn6m69atm7U9FvNPcaj7\n+dU0PS1Re3l5ufcxojxOLmMqHAAAAAAAyCkbNvwUOissLLRuW7e97n7ZdJxcRsYS4jp37qxZs2ZJ\n2hxpbdIkmrhjWVlZPHI9a9YsFRcXR3JcbMb1zzyeg8zjOcg8noPM4vpnHs9B5vEcZF4mnoOampp4\nRoprmlMuaN26tUpLSzM9jITKyspC/ZxZVFQU/72qqsq6bWVlZcL9suk4uYzAEuKaNm2qnXfeOaNj\nKC4uTmpeLcLF9c88noPM4znIPJ6DzOL6Zx7PQebxHGRelM9BQ5r+1qRJk6x97YY9rmSmna1duzb+\ne8uWLbPyOLmMqXAAAAAAACCndO3aNf77/PnzrdvWba+7XzYdJ5cRWAIAAAAAADmlbdu22n777SVJ\n33zzjXXb2vaSkhLtsMMOWXmcXEZgCQAAAAAA5Jyjjz5akvTZZ59p3bp1CbdZv369Pv30U0lS//79\ns/o4uYrAEgAAAAAAyDmDBw+WtDmoM3r06ITbjBkzJl77qHb7bD1OriKwBAAAAAAAcs5JJ52k/fff\nX5J03XXXacqUKfXap06dqmuvvVaS1Lt3bw0cOHCrPpYtW6Y77rhDd9xxh8aNG5e24zRkrAoHAAAA\nAAByTl5enh5//HEdfPDBWrVqlfr166dBgwapR48emjlzpp577jlVVFSouLhYTzzxhPLy8rbqY9Gi\nRfGg0LBhwzRgwIC0HKchy4vFYrFMDwIAAAAAACCIadOm6eyzz9akSZO2auvdu7f+9a9/aa+99kq4\n75QpU9S7d29JmwNLw4cPT8txGjICSwAAAAAAIOd98cUX+vTTT7Vy5Uq1bdtWBx54oA488EDrPosX\nL9Z9990nSerXr5/XNLYgx2nICCwBAAAAAAAgEIp3AwAAAAAAIBACSwAAAAAAAAiEwBIAAAAAAAAC\nIbAEAAAAAACAQAgsAQAAAAAAIBACSwAAAAAAAAiEwBIAAAAAAAACaZrpAQBBzJs3T1dccYVisZgk\nadiwYerfv3+GR9VwLV++XO+9955mzJihRYsWafXq1WrVqpV22203HXPMMdpjjz0yPcQGraKiQp99\n9pkmTZqkxYsXa8mSJSooKFCXLl10xBFH6PDDD1deXl6mh9ngrVu3TpMmTdKECRM0ZcoUVVZWSpLu\nuecede7cOcOjy12bNm3SuHHj9N5772nJkiVq3bq19t57bw0aNEht27bN9PAavNrX9eeff64pU6ao\noqJCknTXXXepa9eumR1cIzBv3jx9+OGHmjlzphYvXqw1a9aopKRE++yzj0488UTtuOOOmR5ig1da\nWqr3339f06dP1+LFi1VaWqqWLVtq11131dFHH6199tkn00NslP75z3/qnXfekSQVFBRo7NixGR4R\nAJu8WO0ncyCHDBgwQG+++Wb83//85z910UUXZXBEDVNFRYX69eunr776Sra3iuOPP14jRoxQx44d\nIxxd43DWWWfp2WefjQcxEunVq5cee+wxHXDAARGOrPH48ccf9Ytf/ELTp09XdXX1Vu1ff/219txz\nzwyMLPd9/fXXGjJkiKZNm7ZVW4sWLXTffffpvPPOy8DIGr7Zs2dr4MCBmjZtWsLX9eTJk7XvvvtG\nP7BG4osvvtDgwYM1e/Zs4zbNmjXTJZdcottvv11FRUURjq7xOPDAAzVx4kTV1NQYtznyyCM1cuRI\ndevWLcKRNW5Tp07VAQccoI0bN0qSCgsL40FvANmJjCXknEcffVRvvvmmioqK+COTZps2bdLUqVPV\nrVs3HXrooerevbs6duyoJk2aaN68eXrmmWf07bff6rXXXtOhhx6qL7/8Um3atMn0sBuUyZMnq7Ky\nUvn5+TryyCP185//XJ07d9b69ev17rvv6rnnntO0adN0xBFH6O2339ZBBx2U6SE3OGVlZfr666/V\nvHlz7bfffurbt6/mzJmj559/PtNDy2mzZs3SUUcdpeXLl6tFixa68MILte+++2rJkiV65JFH9MMP\nP+j8889XXl6ezj333EwPt8FZvXq1vvrqK2277bbx1/X8+fP17LPPZnpojcLSpUvjQaUOHTroxBNP\nVO/evdWqVSvNnj1bo0eP1o8//qh7771X33//vV555RU1aUIFi7BNmjRJnTp10s9+9jP16NFDHTt2\nVEFBgebPn6/nn39eU6ZM0XvvvadDDjlEX375JRlkEdi0aZPOO+88bdy4kXt9IJfEgByycOHCWHFx\ncSwvLy922223xSTFJMX++c9/ZnpoDdKmTZti06dPN7bX1NTErrvuuvjzcM0110Q4usZh3333jf32\nt7+NzZ07N2H7uHHjYgUFBTFJsV133TVWXV0d8QgbvlWrVsWmTp0a27RpU/yx22+/Pf66//rrrzM4\nutw1YMCAmKTYNttsE/vyyy/rtZWXl8f69u0bkxRr3rx5bMmSJRkaZcO1evXq2JQpU+q9rv/2t7/F\nX9eTJ0/O3OAagVdeeSW2yy67xJ5++unYxo0bt2rfsGFD7JRTTok/HyNHjszAKBs+1/t33f8TF110\nUUSjatxq7+/79esXO+mkk2KSYoWFhZkeFgAHvvpATrnoootUVlamCy+8UIccckimh9Pg5efna/fd\ndze25+Xl6eabb1ZJSYkk6d13341qaI3GG2+8oQceeEBdunRJ2H7MMcfo4osvliTNmDFDEyZMiHJ4\njUJxcbH23ntv5efnZ3ooDcbEiRM1btw4SdJVV12l3r1712tv0aKFHnnkEUmbawDde++9UQ+xwWvV\nqpX22WcfXtcZcvDBB+ubb77R4MGD1bTp1hMIioqK9Oijj2qbbbaRJI0ZMybqITYKrmnMV155pXba\naSdJ3ONEYfr06br11lvVtGlTjRgxgiw9IIfwvxU544knntArr7yi9u3b64477sj0cPA/+fn58dpK\niep0IDU77LCDc5ujjz46/vv06dPTORwgFHWnW11wwQUJt9l7773jdcOYnoWGpqSkRM2aNXNus99+\n+0nivT2Tar/Y4R4nvaqrq3XeeeepsrJSV155pfbaa69MDwlAEggsIScsXbpUl112mSTp/vvvV3Fx\ncUbHg5+sWrVKP/74oySpT58+GR5N41Rb3FKStcg6kC0+/PBDSVK3bt2sK+odccQRkqSZM2dq4cKF\nUQwNyCq17++8t2fG+vXr44sLcI+TXvfcc48mTJig7t2764Ybbsj0cAAkicAScsIll1yilStX6oQT\nTtDpp5+e6eHgf2bOnKnBgwdrw4YNatmypf74xz9mekiNUu1yvJKsUxeBbFGbfeF6ve62225b7QM0\nFqWlpZoyZYok3tszYd68eRo6dKhKS0tVVFSkG2+8MdNDarB++OGHeDBp+PDh8SmgAHIHq8Ih6z37\n7LN6/vnn1bx5cz300EOZHk6jNW3atPhN1YYNG7RgwQJ98803qqmp0UEHHaSRI0fG6xAgOvPmzdPo\n0aMlSV27dlW/fv0yOyDAoby8XGvWrJGk+DRak7rtCxYsSOu4gGxz++23q6qqSpI0ZMiQDI+mYZsz\nZ46uvPJKSVJFRYUWLlyob775Rps2bVLv3r01cuRI7bHHHhkeZcMUi8V03nnnacOGDTrrrLPqTe8H\nkDsILCGrrVy5Ur/97W8lSbfeequxgDHSb/ny5QmXVz/ggAN0ww03cMOVAZs2bdI555yjdevWSZLu\nuOMOCvEi65WXl8d/b968uXXbuu1r165N25iAbPPhhx/Gi9bvuuuuxlpkCEdZWVnCe5y99tpLN910\nk/bdd9/oB9VIPPDAA/r444/Vtm1b/f3vf8/0cAAERGAJWe13v/udli1bpj59+ujSSy/N9HAatV69\nesUL6FZWVmr27Nl6/vnn9cUXX+i4447TmWeeqUcffVSFhYUZHmnjccUVV+i9996TJP3qV7/S4MGD\nMzwiwK02A0NSwtWw6iooKIj/XllZmbYxAdlkzpw5Ov3007Vp0yYVFBToqaeeqvd/AeHbeeed4/c4\nVVVVmjt3rl566SVNmDBBp5xyik4++WSNHTvWGQxHcmbPnh0vo3DXXXdpu+22y/CIAARFYAkpGzFi\nhN58882U+rj66qvjq//Uevnll/XUU08pPz9fI0aMIBPD4ve//33KhW3HjBmjbbfd1tjerl07DRo0\nqN5j1113nW6//XZdd911Gjt2rNq0aaMHH3wwpXHkovLycp177rkp9dGlS5ekvqn761//qvvvv1+S\ndMghh2jEiBEpHT/XffHFF7rzzjtT6uOYY47RhRdeGNKIYFL3fcYVLNqwYUP8dz7QoTFYvny5jj32\nWC1btkxNmjTRv/71L/Xu3TvTw2rwWrduvdU9zrXXXqsHH3xQv/vd7/Tyyy9r2LBheuKJJzI0woYn\nFovpggsu0Lp163TkkUfqnHPOyfSQAKSAwBJS9uWXXyZMH07Gr371q3qBpbVr1+qiiy6StDloUrvc\nLhIbN26cZsyYkVIfI0eOtAaWEsnLy9Mf//hHvffee3r77bc1YsQI3XrrrWrTpk1KY8k1lZWVKf8f\n6NWrl/e2I0aM0NVXXy1J6t27t1599dVGX+hy4cKFKT8HfFMajVatWsV/Lysrs267evXqhPsBDdHq\n1as1YMCA+N/zhx56SGeccUaGR9W4/fa3v9UHH3yg5557TmPHjtXtt99uXckS/h577DG9++67Kioq\n0sMPP5zp4QBIEYElpGzYsGEpF9rr27dvvX8vWbJEixcvlrR5JaAtv0WSNn+rV2vEiBF6++23JW3O\n5OjWrVtK48k1999/f7wYblCpZAOcfPLJevvtt7Vx40ZNmTJFRx55ZEpjyTWtWrWKp9AH1bp1a6/t\nnnzySV188cWSNq8SNG7cOO99G7K+ffum/Bx07949pNHApqioSB07dtTChQs1d+5c67Z123v06JHu\noQEZs27dOh1//PGaPHmypM3TgoYNG5bhUUHafI/z3HPPKRaLaeLEiQSWQvLll19Kktq0aaNrr702\n4TZffPGFJGnjxo3xzwK77767br311mgGCcAbgSWkrHfv3mlN037jjTec20yePDl+M3bNNdc0usDS\nMccck9Hj180kqFs/pbEoKChIGPwM23/+8x+dffbZqqmpUY8ePfTOO++oXbt2aT9uLujQoUMkzwHC\nsffee2vhwoWaOnWqYrGY8vLyEm5X+8EjPz+fBQLQYFVUVOikk07S+PHjJW1erOSKK67I8KhQq7Hf\n46Tb4sWLnRnHNTU18W0OOeSQKIYFIEkElpCVdtxxR2f2wbRp03TTTTdJki688EL1799fElkHmVB3\nGl6nTp0yOJKG6/XXX9eQIUNUXV2trl276t1339WOO+6Y6WEBgRx33HF6/fXXVVZWpvHjxyf8oFBd\nXa233npLknTooYeqZcuWUQ8TSLuNGzfqtNNOiy/E8Mc//lHXX399hkeFurjHSY8LLrhARxxxhHWb\nv/71r/riiy/UrFkzjR07VhLT1oFsRWAJWal58+bO7IO6f1h69+5NtkKGrFy5Uo8++qgkqXPnzmQV\npMH777+v0047TVVVVerUqZPeeecdUvGR004//XRdffXV2rBhg/72t78lDCyNHTs2vijBr3/966iH\nCKRddXW1hgwZotdee02SdPnll+vPf/5zhkeFusrLyzV8+HBJm6dsbVm6AcHtu+++2nfffa3b1BZL\nb9KkCff5QJZrkukBAMhejz/+uF544QWtX78+YfvHH3+sI444QkuXLpUk3XLLLcYpLQhmwoQJOumk\nk7Rhwwa1b99e77zzTqOb6omGp3379rrsssskSS+99JJuvfVWVVdXx9s//PBDXXrppZI219M4++yz\nMzFMIG1isZjOO++8+PSe3/zmN7r77rszPKrG5d///rf+/e9/q7y8PGH7xIkT9fOf/1yzZ8+WJN1w\nww1q1qxZlEMEgJxBxhIAo3HjxunJJ59UYWGhunTpoh122EFt27bV+vXrNX369Hg2QV5enq6//nqW\nik2DgQMHau3atZI2TxH94x//aN3+1FNP1dChQ6MYWqNy+eWXa968efF/150acfnll9erwTFo0CBW\ncvJw8803a+LEiXrrrbd0ww036JFHHtHee++txYsXx2srtW3bVi+88ILy8/MzPNqG6aqrrop/aJak\n77//vl5b3YUBeG8J15gxYzRmzBhJm+v0LVmyxJmRMWbMmKRXb4XZhx9+qH/84x9q1qxZ/B6nXbt2\n2rBhg2bMmFFv8YBLL700HgwHAGyNwBIAo3POOUexWExvvfWWfvjhB/3www/12gsKCnTsscfqqquu\n0qGHHpqhUTZsdb9JrVuk3oSVs9LjzTff1LRp0xK21dYBqrXbbrtFMaSc16xZM7366qu67bbb9OCD\nD2r+/PmaP3++JKlp06Y64YQT9MADDzDtM43eeustTZ06NWFb7UqrtXhvCVfd9/aqqir95z//ce4z\ncuRIAkshOuOMM1ReXq4333xTM2fO1MyZM+u1N23aVEcddZSuvPLKlFc/BoCGLi8Wi8UyPQggiOXL\nl+uDDz6QJO23335MD0qjWCymefPmafHixVq2bJkKCgq0ww47qFevXiooKMj08Bq0F198UZs2bfLe\nfrfddtOee+6ZxhE1Tm+99ZZWr17tte3uu++uXr16pXlEDUtVVZWmTp2qpUuXqlWrVtpjjz0o0BqB\nt99+W2VlZV7b8t4SrpkzZzq/KNjSKaecwlSsNJk/f74WLVqkZcuWqVmzZmrXrp169eqloqKiTA+t\nUfv000+1cOFC5efn69RTT830cABYEFgCAAAAAABAIBTvBgAAAAAAQCAElgAAAAAAABAIgSUAAAAA\nAAAEQmAJAAAAAAAAgRBYAgAAAAAAQCAElgAAAAAAABAIgSUAAAAAAAAEQmAJAAAAAAAAgRBYAgAA\nAAAAQCAElgAAAAAAABAIgSUAAAAAAAAEQmAJAAAAAAAAgRBYAgAAAAAAQCAElgAAAAAAABAIgSUA\nAAAAAAAE0jTTAwAAANnpmmuu0YoVKzRgwACdfvrpWdNXJq1Zs0aXX375Vo+feuqpOuGEEzIwovDc\ndtttmjNnTr3Hunbtquuvvz4zAwIAADmBwBIAAEjo6aef1ty5c1VcXJxyMCjMvjJp/fr1GjVq1FaP\nd+3aNecDSy+++KImTZpU77E+ffoQWAIAAFYElgAAQCB/+MMfVF5erhNPPFEDBw7M9HAid9FFF6lP\nnz6SpP333z/Do0ndn/70Jy1fvlySNGrUKH322WcZHhEAAMgFBJYAAEBCd955p8rLy7X33nsnbH/8\n8ce1cuVKtW/f3hlYcvWVi4466igNGjQo08MIzSmnnBL//f333yewBAAAvBBYAgAACQ0ePDgr+wIA\nAED2YFU4AAAAAAAABELGEgCgUXn55Zf18ssvKy8vT/fee6+aN29u3f6yyy7T2rVrdfDBB+u8885L\n6lgXX3yxNm7cqNNOO03HHXecNm3apJdeekmTJk3S2rVrtfPOO2vgwIHaeeednX3V1NToo48+0kcf\nfaQlS5aosLBQXbt21bHHHquePXs691+3bp1ef/11TZkyRaWlpWrRooU6dOigXXbZRUcffbQKCgq2\n2se0ktsDDzygqVOnau3atZKkV199VUuWLKm375Z1l3xXhUvlPLe83rFYTG+88YbGjx+vVatWqUuX\nLjr55JO12267Oa9XGFauXKmrr75aknTppZcapwHOnz9fN998s6TN16lHjx712rc8r+rqar3yyiv6\n4osvtH79eu2xxx4688wzt3otL1q0SM8995xmzZqlwsJCHXHEETr22GOVl5eXhrMFAACNVgwAgEZk\n6tSpMUkxSbGRI0dat33vvffi2/7nP/9J+liFhYUxSbHbb789NmPGjFjPnj3j/dX+NG3aNHb99dfH\nampqjP1MmDAhttdee221r6RYXl5e7IwzzoiVlZUZ93/iiSdixcXFCfeXFCsuLo6NHj16q/122mmn\nmKTYFVdcUe/xE044wdhX7c91113n1VeY51n3ei9cuDB2wAEHbNVPkyZNYn/605+MfbgsXrw43tez\nzz5r3Xb27NnxbV955RXjdpMnT45v99FHH1nPa+bMmbE99thjq/Nq3759bMqUKfF97rzzzlhBQcFW\n2w0YMCC2fv1653kOHTo0JinWp08f57YAAKBxI2MJANCo7L333jrooIP06aefauTIkTr//PON2z7y\nyCOSpO23314nnnhi4GOuWbNGRx11lDZs2KDLLrtMPXv21OLFizV27FjNmjVLt912myorK/XXv/51\nq33Hjx+v/v37a/369SooKNCQIUPUp08frV+/Xv/973/18ccf6+mnn9a3336rTz75ZKuslXfffVdn\nnXWWYrGYOnbsqNNOO0077bST8vPztWDBAs2YMUNvvvmmvv32W+/zufTSSzVw4ED94Q9/0Nq1a3XC\nCSdsVby7d+/eSV2jVM+zrnXr1umoo47SihUr9Pvf/149e/bUihUrNHr0aM2ZM0e33nqrunfvrrPP\nPjupMWZaeXm5jj76aFVVVenqq69Wly5dNHPmTI0YMUJLlizRcccdp++//17Dhw/X1VdfrWOOOUb9\n+/dXs2bN9PLLL+vdd9/VuHHjdOWVV+of//hHpk8HAAA0FJmObAEAELXRo0fHMzi+/vrrhNusXLky\nVlRUFJMUu+qqqwIdpzbTpEWLFrFevXrFli5dWq99w4YNseOPPz6ekTN+/Ph67RUVFfFMn5KSktjk\nyZO3OsYdd9wRP5dLLrlkq/ZTTjklJim2++67x1avXp1wnGVlZbFvv/12q8ddWUZt27ZNmJ2UiK2v\nMM4zFvvperdq1Sp2wAEHxFauXLnVedZmjfXo0cM55kQymbHUsmXL2CGHHBJbs2ZNvfYJEybEmjRp\nEr82RUVFsVGjRm3VzxlnnBGTFGvWrFlsxYoV1rGTsQQAAHxRvBsA0Oj88pe/VJs2bSRJI0eOTLjN\n448/roqKCklKurbSltauXavHH39c22+/fb3Hi4qKNGbMGLVu3VqxWEz33HNPvfZnnnlGc+fOlSTd\nc8892nfffbfq++qrr9aAAQPi57JixYp67T/++KMk6dhjj1WrVq0Sjq9169aR1R1KJIzzrGv9+vV6\n5plnVFJSUu/x1q1b65prrpG0+bp8//33IZ1BNCoqKjR27Fi1bNmy3uN9+/bVMcccI0n6xz/+oYED\nByZ8zV5//fWSpI0bN+qdd95J/4ABAECjQGAJANDobLPNNjrrrLMkbQ4gVVZWbrVNbcDp0EMPTTno\ncsABBxinhrVt21aDBg2SJL3xxhuqqamJt7366quSpOLiYg0ZMsTY/29/+1tJUmVl5VYBgx133FGS\n9N5772nDhg3BTyKNwjjPuo4++mhjQfTDDjss/nsy0/+yQf/+/dWlS5eEbQceeGD8d1MgtFevXvEp\nhLl27gAAIHsRWAIANErDhg2TJJWWlur555+v1/bZZ5/pm2++kSRrDSZfdT/0J9KvXz9Jm2vozJkz\nJ/74V199JUnq06ePmjVrZtz/4IMPjv8+derUem2nnnqqJGnKlCnaZZdddO211+rdd9/VunXrkjqH\ndArjPOtKlPFUa4cddoj/XlZW5j/ILLDPPvsY27bbbruktsu1cwcAANmLwBIAoFHaY4899LOf/UzS\n1tPhaot2t2zZUqeffnrKx9pyCpytfeXKlfHfS0tLJdUPhiRSUlISD8jU7lProosu0q9+9StJ0oIF\nC3THHXfoqKOOUnFxsfr166c777xzq32iFsZ51tW6dWtjW93A1caNG5MZZsaZpjJKUtOmTZPaLtfO\nHQAAZC8CSwCARqs2a+n999+P1yIqLy/XM888I0kaMmSIdfUxX9XV1d7tdQME+fn5XvvHYrH4FLra\nfWo1adJEjz/+uD777DP99re/1R577KG8vDxt2rRJEyZM0DXXXKMePXro3XffTeqcwhTGeeYy13kD\nAABkMwJLAIBGa9CgQWrbtq1isZhGjRolSRo7dmx8mlgY0+AkaeHChdb2BQsWxH+vm71U+/v8+fOt\n+y9atCgenDBlRx144IF64IEHNG3aNC1fvlwvvviizjrrLOXn52vVqlUaPHiw1q9f73U+YQvzPLNJ\nYWFh/PdEdbxq2QqRAwAAZDsCSwCARquwsFBnn322JGn06NHatGlTfBrcXnvtpb59+4ZynA8++MDa\n/v7770vaPBWsY8eO8cf3339/SdKXX36p1atXG/evm210wAEHOMfTtm1bnXLKKRozZoz+9re/Sdoc\n3Pjss8+c+9bVpEk4txHpOs9MKykpiV8jW9Bs/PjxUQ0JAAAgdASWAACNWu10uCVLlujWW2/VpEmT\nJIWXrSRJP/zwg1555ZWEbd9//328rXZ1uFq19Z0qKip03333Jdx/06ZNuuuuuyRtLsx85JFHJjW2\nPn36xH+3ZdUk0qJFC0nSmjVrktpvS1GcZyYUFhZq1113lSS9/vrrCbdZvXp1PJgJAACQiwgsAQAa\ntV122SUepLj11lslbQ4I1Ba8DkOXLl107rnnbpWZMmvWLJ1yyinauHGjtt12W11xxRX12o855hgd\ncsgh8bH961//qte+du1anXXWWfFV1f74xz9qm222qbfN3XffrcmTJysWi201rnXr1sUzlpo2bVov\nyOSjZ8+ekjZnZKVSJyiM88xWp512miTpzTff1BNPPFGvbcmSJRo4cGDOnAsAAEAiTd2bAADQsA0b\nNkzvvfdePPgycOBAtW3bNrT+L7zwQr366qs69NBDddBBB6l79+5asmSJPvjgA1VVVSkvL0/Dhw/X\nzjvvXG+/vLw8jR07VkcccYRmz56tc845R3feeaf2228/bdiwQe+//358dbQhQ4bosssu2+rYN954\no6688kq1a9dO3bt314477qgWLVpo2bJl+uSTT7R27VpJ0i233JJ03aJBgwbpzTff1FdffaVevXrp\ngAMOiNcVOvHEEzVw4ECvfsI4z2x1+eWXa9SoUVq8eLHOOussPfjgg9p11121bNkyffDBB2rTpo1G\njRql4447LtNDBQAACITAEgCg0Tv11FPVrl07LV++XFK40+CkzSuYjRs3Tuedd57+85//1Mtc6ty5\nsx588EGdfPLJCfft0qWLPvvsM11zzTV64okn9O233+rbb7+Nt2+//fa69tpr9fvf/155eXlb7X/V\nVVfpv//9r7788sv4+dXVs2dP3XzzzRoyZEjS53X++edr8uTJeuSRRzRjxgzNmDEj3ta+fXvvwJKU\n+nlmqzZt2ui9997T0KFDNWnSJE2YMEETJkyQJB122GF64okntHLlygyPEgAAILi8WKLceAAAGplD\nDz1Un3zyiXbaaSfNmjUrlMLURUVFqqys1O23365rrrlGkjR37lxNmTJFa9euVbdu3XTggQd6H6u8\nvFwTJkzQkiVLVFBQoJ133ll9+vTx2n/lypX64YcftGjRIpWXl6t169baY489tMsuuxj3eeaZZ1Re\nXq69997bWsh8xYoVmjhxopYtW6aqqipJUu/evetNrfPtK5XzrC3A3rdvX+29994Jt6murtZjjz0m\nSfrZz34Wr4Hka8mSJdpxxx0lSc8+++xWdbFsvvrqK02fPl35+fnq1auX9thjD0lSaWmp/vOf/0iS\nTjrpJO2www5Jn9d3332njz/+WJJ07rnnKj8/P+F2zz77rFavXq1evXrpoIMOMo71V7/6lZ588kn1\n6dNHEydO9D5HAADQ+BBYAgA0erNmzVKPHj0Ui8V0880364Ybbgil30SBJeS2uoGlo446Sl27dpW0\nOevthBNOyODIUnfbbbdpzpw5kjavVDhz5kwCSwAAwImpcACARm/UqFGKxWJq2rSpzjvvvEwPBzni\nnXfeif/etWvXnA8svfjii/FVEQEAAHwRWAIANGpz587VP/7xD0mbi1F36tQpwyNCNmvdurUeeeSR\nrR7ff//9MzCacP3pT3/aqg5Xu3btMjQaAACQKwgsAQAanWnTpumee+5ReXm5xo0bp9WrV6uoqEi3\n3HJLpoeGLLfNNtvoggsuyPQw0uKUU07J9BAAAEAOIrAEAGh05s+fr1GjRsX/XVJSoocfflg9e/bM\n4KgAAACA3EPxbgBAo7NgwQK98cYbys/PV8eOHdWvXz+1atUq9OP4rOYFAAAA5DICSwAAAAAAAAik\nSaYHAAAAAAAAgNxEYAkAAAAAAACBEFgCAAAAAABAIASWAAAAAAAAEAiBJQAAAAAAAARCYAkAAAAA\nAACBEFgCAAAAAABAIASWAAAAAAAAEAiBJQAAAAAAAARCYAkAAAAAAACBEFgCAAAAAABAIASWAAAA\nAAAAEAiBJQAAAAAAAARCYAkAAAAAAACBEFgCAAAAAABAIASWAAAAAAAAEAiBJQAAAAAAAARCYAkA\nAAAAAACB/H94B3c4ILutqwAAAABJRU5ErkJggg==\n" } } ], "source": [ "Hz_1550 = sim_data[\"Field monitor\"].Hz.abs.sel(f=td.C_0 / 1.55, z=0, method=\"nearest\")\n", "Hz_1550.plot(x=\"y\", y=\"x\", cmap=\"hot\", vmin=0, vmax=0.6)\n", "plt.show()" ], "id": "42ba9dc8" }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Interactive Field Visualization with `hvplot`\n", "\n", "For interactive exploration of 2D field slices, `hvplot.xarray` can be\n", "used to create browser-based plots. In the first example, the Tidy3D\n", "field slice is converted to an `xarray.Dataset` with\n", "`to_dataset(name=\"plot\")`, since the sliced field data is unnamed. Then,\n", "`hvplot.quadmesh` is used because the field monitor coordinates are not\n", "necessarily evenly spaced.\n", "\n", "The second example creates a quiver plot from the existing waveguide\n", "mode dataset. The magnetic field components `Ex` and `Ey` are used as\n", "the vector components on the `y-z` mode plane." ], "id": "cfe1c4a4-786a-49ae-b214-dd1a69de36df" }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": {} }, { "output_type": "display_data", "metadata": {}, "data": { "text/html": [ "
\n", "
\n", "
\n", "" ] } } ], "source": [ "# Convert the 2D field slice to a named xarray Dataset before plotting.\n", "# QuadMesh supports non-uniform x and y coordinates.\n", "field_plot = sim_data[\"Field monitor\"].Hz.real.isel(f=0, z=0).to_dataset(name=\"plot\")\n", "\n", "field_plot.hvplot.quadmesh(x=\"y\", y=\"x\", z=\"plot\")" ], "id": "b2f41573" }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "text/html": [ "
             WARNING: 'ModeSpec.track_freq' is deprecated and will be removed in\n",
              "             future versions. Please use 'sort_spec.track_freq' instead.        \n",
              "
" ] } } ], "source": [ "waveguide_mode_data = td.ModeSolverData.from_hdf5(\"misc/waveguide_mode_data.h5\")" ], "id": "6c812f51" }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": {} }, { "output_type": "display_data", "metadata": {}, "data": { "text/html": [ "
\n", "
\n", "
\n", "" ] } } ], "source": [ "# Create a quiver plot from the existing waveguide mode dataset.\n", "Ex_mode = waveguide_mode_data.Hy.real.isel(f=5, mode_index=0).squeeze(drop=True)\n", "Ey_mode = waveguide_mode_data.Hz.real.isel(f=5, mode_index=0).squeeze(drop=True)\n", "\n", "magnetic_field_magnitude = np.sqrt(Ex_mode**2 + Ey_mode**2)\n", "magnetic_field_angle = (np.pi / 2.0) - np.arctan2(\n", " Ex_mode / magnetic_field_magnitude,\n", " Ey_mode / magnetic_field_magnitude,\n", ")\n", "\n", "mode_quiver_data = xr.Dataset(\n", " data_vars={\n", " \"angle\": magnetic_field_angle,\n", " \"mag\": magnetic_field_magnitude,\n", " }\n", ")\n", "\n", "mode_quiver_data.hvplot.vectorfield(\n", " x=\"y\",\n", " y=\"z\",\n", " angle=\"angle\",\n", " mag=\"mag\",\n", " color=\"mag\",\n", " colorbar=True,\n", " cmap=\"jet\",\n", " xlim=(-0.2, 0.2),\n", " ylim=(-0.2, 0.2),\n", " title=\"Waveguide mode electric field on the y-z plane\",\n", ").opts(magnitude=dim(\"mag\"))" ], "id": "706f5dc0" }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Data Interpolation\n", "\n", "The field data are most likely located in a nonlinear grid. However,\n", "`xarray` allows us to interpolate data at arbitrary coordinates easily.\n", "As a demonstration, we define a linear grid and interpolate the `Hz`\n", "field to this grid by using the `interp` method." ], "id": "e49ba9f1-9041-4205-a7cb-5affc71ccf9f" }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABJYAAAOFCAYAAAA4cmjIAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90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\n" } } ], "source": [ "x_interp = np.linspace(-10, 0, 50)\n", "y_interp = np.linspace(-2, 2, 50)\n", "\n", "Hz_1550.interp(x=x_interp, y=y_interp).plot(x=\"y\", y=\"x\", cmap=\"hot\", vmin=0, vmax=0.6)\n", "plt.show()" ], "id": "7d207459" }, { "cell_type": "markdown", "metadata": {}, "source": [ "Similarly, we can save the field data as a csv file for future use." ], "id": "d659d643-1662-47f1-9fa6-9fd4a650ee52" }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "Hz_data = Hz_1550.interp(x=x_interp, y=y_interp).values\n", "np.savetxt(\"data/field_data.csv\", Hz_data, delimiter=\",\")" ], "id": "6082d3f5" }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Integration\n", "\n", "Sometimes the postprocessing of the simulation data requires the\n", "calculation of certain integrals. A common example is the calculation of\n", "the overlap integral of two modes. For instance, when designing an [edge\n", "coupler](https://www.flexcompute.com/tidy3d/examples/notebooks/EdgeCoupler/),\n", "we might want to calculate the overlap integral of the fiber mode and\n", "the waveguide mode. In Tidy3D, we provide a convenient function\n", "`outer_dot` that does this integral.\n", "\n", "To demonstrate this, we load data from two hdf5 files. They contain the\n", "field profiles of a Gaussian mode and a waveguide mode." ], "id": "7454e716-ef6a-4bef-84b9-70b7422c8f0a" }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "text/html": [ "
07:54:58 UTC WARNING: updating Simulation from 2.4 to 2.12                      \n",
              "
" ] } } ], "source": [ "gaussian_beam_data = td.SimulationData.from_hdf5(\"misc/gaussian_beam_data.h5\")" ], "id": "c65e9325" }, { "cell_type": "markdown", "metadata": {}, "source": [ "Before calculating the overlap, let’s plot the fields to visualize them." ], "id": "955391a5-7f6b-4d25-b508-f7557bafb620" }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABHwAAAOFCAYAAAAYsvVwAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90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\nrkJggg==\n" } } ], "source": [ "waveguide_mode_data.Ey.abs.isel(f=5).plot(x=\"y\", y=\"z\", vmin=0, vmax=30, cmap=\"hot\")\n", "plt.show()" ], "id": "e902b3bf" }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABHwAAAOFCAYAAAAYsvVwAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90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\nAIDL/H88CdOYbpAtjgAAAABJRU5ErkJggg==\n" } } ], "source": [ "gaussian_beam_data[\"monitor_0\"].Ey.abs.isel(f=5).plot(x=\"y\", y=\"z\", vmin=0, vmax=30, cmap=\"hot\")\n", "plt.show()" ], "id": "ce0b308d" }, { "cell_type": "markdown", "metadata": {}, "source": [ "From the field profiles, we can see that the waveguide mode and the\n", "Gaussian mode have a similar mode area so they should have a significant\n", "overlap.\n", "\n", "Now we calculate the overlap using `outer_dot` and plot the result in\n", "dB." ], "id": "2a0150f5-b1db-4af9-a713-3c712787f320" }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABMMAAANnCAYAAAA8w59NAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90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\nSUVORK5CYII=\n" } } ], "source": [ "overlap = waveguide_mode_data.outer_dot(gaussian_beam_data[\"monitor_0\"])\n", "plt.plot(td.C_0 / overlap.f, 20 * np.log10(np.abs(overlap)))\n", "plt.xlabel(r\"Wavelength ($\\mu m$)\")\n", "plt.ylabel(\"Overlap integral (dB)\")\n", "plt.ylim(-2, 0)\n", "plt.show()\n", "plt.show()" ], "id": "8dadb096" }, { "cell_type": "markdown", "metadata": {}, "source": [ "For demonstration purposes, we can also perform the integral manually\n", "using the `integrate` method in `xarray`. The overlap integral is given\n", "by\n", "\n", "$$\\frac{1}{4} \\left(\\mathbf{E}_1 \\times \\mathbf{H}_2^* - \\mathbf{H}_1 \\times \\mathbf{E}_2^* \\right) dA,$$\n", "\n", "where $\\mathbf{E}_1$ and $\\mathbf{H}_1$ are the electric and magnetic\n", "fields of the first mode, $\\mathbf{E}_2$ and $\\mathbf{H}_2$ are the\n", "fields of the second mode, and \\* denotes complex conjugation.\n", "\n", "One complication here is that the fields of the two modes might not\n", "share the same grid as they can be calculated from different\n", "simulations. The computation between different arrays does require them\n", "to share the same coordinates. In this situation, we can use the\n", "`interp_like` method to easily interpolate one array to the grid of the\n", "other array.\n", "\n", "As expected, the result calculated this way is the same as that\n", "calculated from `outer_dot` above." ], "id": "9aeda91a-42dc-4b2d-8558-d6af036a662f" }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABMMAAANnCAYAAAA8w59NAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90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\n" } } ], "source": [ "Ey_wg = waveguide_mode_data.Ey.squeeze(drop=True)\n", "Ez_wg = waveguide_mode_data.Ez.squeeze(drop=True)\n", "Hy_wg = waveguide_mode_data.Hy.squeeze(drop=True)\n", "Hz_wg = waveguide_mode_data.Hz.squeeze(drop=True)\n", "\n", "Ey_gauss = gaussian_beam_data[\"monitor_0\"].Ey.interp_like(Ey_wg)\n", "Ez_gauss = gaussian_beam_data[\"monitor_0\"].Ez.interp_like(Ey_wg)\n", "Hy_gauss = gaussian_beam_data[\"monitor_0\"].Hy.interp_like(Ey_wg)\n", "Hz_gauss = gaussian_beam_data[\"monitor_0\"].Hz.interp_like(Ey_wg)\n", "\n", "e_self_x_h_other = Ey_wg * Hz_gauss - Ez_wg * Hy_gauss\n", "h_self_x_e_other = Hy_wg * Ez_gauss - Hz_wg * Ey_gauss\n", "\n", "integrand = 0.25 * (e_self_x_h_other - h_self_x_e_other)\n", "\n", "overlap = integrand.integrate(coord=[\"y\", \"z\"])\n", "\n", "plt.plot(td.C_0 / overlap.f, 20 * np.log10(np.abs(overlap)))\n", "plt.xlabel(r\"Wavelength ($\\mu m$)\")\n", "plt.ylabel(\"Overlap integral (dB)\")\n", "plt.ylim(-2, 0)\n", "plt.show()\n", "plt.show()" ], "id": "f93ba537" }, { "cell_type": "markdown", "metadata": {}, "source": [ "Besides the overlap integral shown above, in other example notebooks we\n", "also demonstrated how to perform integrals to calculate the [cavity mode\n", "volume](https://www.flexcompute.com/tidy3d/examples/notebooks/CavityFOM/)\n", "and the [nonlinear feedback\n", "parameter](https://www.flexcompute.com/tidy3d/examples/notebooks/BistablePCCavity/).\n", "\n", "## Closing Remarks\n", "\n", "In this tutorial, we demonstrated various futures commonly used in\n", "Tidy3D’s data postprocessing and visualization. We used data from\n", "[FieldMonitor](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.FieldMonitor.html),\n", "[FluxMonitor](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.FluxMonitor.html),\n", "[ModeMonitor](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.ModeMonitor.html),\n", "and\n", "[ModeSolver](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.mode.ModeSolver.html)\n", "as examples. However, the methods are general and equally applicable to\n", "data from\n", "[DiffractionMonitor](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.DiffractionMonitor.html),\n", "[FieldProjectionCartesianMonitor](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.FieldProjectionCartesianMonitor.html),\n", "and so on." ], "id": "c79a7bf4-c8fe-486f-ae75-d2c028f8dd31" } ], "nbformat": 4, "nbformat_minor": 5, "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" } } }