{ "cells": [ { "cell_type": "markdown", "id": "1f023824", "metadata": {}, "source": [ "# Waveguide crossing: transmission and crosstalk\n", "\n", "Orthogonal convex-cosine tapers form a compact O-band crossing with a through port and an explicit crosstalk port.\n", "\n", "This executable notebook follows the same progression as the official Tidy3D\n", "example: inspect parameters, construct geometry and ports, plot the actual\n", "voxelized scene, execute one broadband FDTDX simulation, visualize the recorded\n", "electric field, and compare the reduced observables with a frozen Tidy3D result." ] }, { "cell_type": "markdown", "id": "a113df72", "metadata": {}, "source": [ "## Imports and accelerator" ] }, { "cell_type": "code", "execution_count": 1, "id": "fd9a1db8", "metadata": { "execution": { "iopub.execute_input": "2026-08-16T19:33:48.035895Z", "iopub.status.busy": "2026-08-16T19:33:48.035662Z", "iopub.status.idle": "2026-08-16T19:33:52.306513Z", "shell.execute_reply": "2026-08-16T19:33:52.305444Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "JAX devices: [CudaDevice(id=0)]\n" ] } ], "source": [ "import os\n", "os.environ.setdefault(\"XLA_PYTHON_CLIENT_PREALLOCATE\", \"false\")\n", "\n", "from time import perf_counter\n", "import warnings\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "import jax\n", "import fdtdx\n", "from IPython import get_ipython\n", "\n", "from benchmarks.device_specs import MODE_PORT_SPECS\n", "\n", "get_ipython().run_line_magic(\"matplotlib\", \"inline\")\n", "warnings.filterwarnings(\"ignore\", category=FutureWarning, module=r\"tidy3d\\.components\\.mode\")\n", "plt.rcParams.update({\"figure.figsize\": (9, 4.5), \"figure.dpi\": 120})\n", "CASE_ID = \"device_waveguide_crossing\"\n", "UM = 1e-6\n", "spec = MODE_PORT_SPECS[CASE_ID]\n", "print(f\"JAX devices: {jax.devices()}\")" ] }, { "cell_type": "markdown", "id": "0b43e997", "metadata": {}, "source": [ "## 1. Physical and numerical parameters" ] }, { "cell_type": "code", "execution_count": 2, "id": "5485362c", "metadata": { "execution": { "iopub.execute_input": "2026-08-16T19:33:52.309340Z", "iopub.status.busy": "2026-08-16T19:33:52.308870Z", "iopub.status.idle": "2026-08-16T19:33:52.323920Z", "shell.execute_reply": "2026-08-16T19:33:52.322934Z" } }, "outputs": [ { "data": { "text/html": [ "
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value
domain (µm)(9.0, 9.0, 1.2)
center wavelength (µm)1.31
monitor wavelengths (µm)(1.26, 1.31, 1.36)
grid pitch (µm)0.025
maximum run time (ps)1.5
background index1.444
device thickness (µm)0.161
PML cells per face8
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" ], "text/plain": [ " value\n", "domain (µm) (9.0, 9.0, 1.2)\n", "center wavelength (µm) 1.31\n", "monitor wavelengths (µm) (1.26, 1.31, 1.36)\n", "grid pitch (µm) 0.025\n", "maximum run time (ps) 1.5\n", "background index 1.444\n", "device thickness (µm) 0.161\n", "PML cells per face 8" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Official convex-cosine crossing shortened from 5.3 to 4.0 um per taper; same O-band ports.\n" ] } ], "source": [ "parameters = pd.Series(\n", " {\n", " \"domain (µm)\": spec.domain_um,\n", " \"center wavelength (µm)\": spec.wavelength0_um,\n", " \"monitor wavelengths (µm)\": spec.wavelengths_um,\n", " \"grid pitch (µm)\": spec.dl_um,\n", " \"maximum run time (ps)\": spec.run_time_s * 1e12,\n", " \"background index\": spec.background_index,\n", " \"device thickness (µm)\": spec.thickness_um,\n", " \"PML cells per face\": spec.pml_layers,\n", " },\n", " name=\"value\",\n", ")\n", "display(parameters.to_frame())\n", "print(spec.adaptation)" ] }, { "cell_type": "markdown", "id": "058c19fb", "metadata": {}, "source": [ "## 2. Geometry and ports\n", "\n", "The plotted vertices below are the arrays passed to `fdtdx.ExtrudedPolygon`.\n", "Port arrows use the same centers and propagation directions passed to the source\n", "and mode-overlap detectors." ] }, { "cell_type": "code", "execution_count": 3, "id": "69e8bd0a", "metadata": { "execution": { "iopub.execute_input": "2026-08-16T19:33:52.326351Z", "iopub.status.busy": "2026-08-16T19:33:52.325986Z", "iopub.status.idle": "2026-08-16T19:33:52.670769Z", "shell.execute_reply": "2026-08-16T19:33:52.669943Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(11, 5.5))\n", "for layer in spec.layers:\n", " vertices = np.asarray(layer.vertices_um)\n", " ax.fill(vertices[:, 0], vertices[:, 1], alpha=0.72, label=layer.name)\n", "\n", "ports = (spec.input_port, *spec.output_ports)\n", "for port in ports:\n", " x, y, _ = port.center_um\n", " delta = 0.55 if port.direction == \"+\" else -0.55\n", " dx, dy = (delta, 0) if port.axis == 0 else (0, delta)\n", " ax.annotate(port.name, (x + dx, y + dy), (x, y), arrowprops={\"arrowstyle\": \"->\"})\n", " ax.scatter([x], [y], s=22, color=\"black\")\n", "\n", "ax.set(\n", " xlabel=\"x (µm)\", ylabel=\"y (µm)\", title=\"Exact polygon and port geometry\",\n", " xlim=(-spec.domain_um[0] / 2, spec.domain_um[0] / 2),\n", " ylim=(-spec.domain_um[1] / 2, spec.domain_um[1] / 2),\n", " aspect=\"equal\",\n", ")\n", "ax.legend(loc=\"best\", fontsize=7)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "4c1ffe54", "metadata": {}, "source": [ "## 3. Build the FDTDX scene\n", "\n", "Geometry is extruded through the device layer. `PortSpec` selects either a solved\n", "waveguide mode or an analytic Gaussian source. The optional `FieldMonitorSpec`\n", "records a complex electric-field phasor across the device plane during the same\n", "pulsed run used for S-parameters." ] }, { "cell_type": "code", "execution_count": 4, "id": "fdda5e4d", "metadata": { "execution": { "iopub.execute_input": "2026-08-16T19:33:52.673514Z", "iopub.status.busy": "2026-08-16T19:33:52.673174Z", "iopub.status.idle": "2026-08-16T19:34:49.368344Z", "shell.execute_reply": "2026-08-16T19:34:49.367379Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Yee grid: (376, 376, 64)\n", "Time-step ceiling: 31,470\n" ] } ], "source": [ "domain_m = tuple(value * UM for value in spec.domain_um)\n", "resolution = spec.dl_um * UM\n", "materials = {}\n", "polygons = []\n", "for layer in spec.layers:\n", " vertices = np.asarray(layer.vertices_um) * UM\n", " center = 0.5 * (vertices.min(axis=0) + vertices.max(axis=0))\n", " material = materials.setdefault(\n", " layer.refractive_index,\n", " fdtdx.Material(permittivity=layer.refractive_index**2),\n", " )\n", " polygon = fdtdx.ExtrudedPolygon(\n", " name=layer.name,\n", " vertices=vertices - center,\n", " axis=2,\n", " partial_real_shape=(None, None, spec.thickness_um * UM),\n", " materials={\"device\": material},\n", " material_name=\"device\",\n", " placement_order=layer.placement_order,\n", " subpixel_smoothing=True,\n", " )\n", " polygons.append((polygon, (center[0] + domain_m[0] / 2, center[1] + domain_m[1] / 2, domain_m[2] / 2)))\n", "\n", "def make_port(port):\n", " center = tuple((coordinate + extent / 2) * UM for coordinate, extent in zip(port.center_um, spec.domain_um, strict=True))\n", " return fdtdx.PortSpec(\n", " center=center, axis=port.axis, direction=port.direction,\n", " width=port.width_um * UM, height=port.height_um * UM,\n", " mode_index=0, filter_pol=port.filter_pol,\n", " source_kind=port.source_kind,\n", " gaussian_mode_radius=(port.gaussian_mode_radius_um * UM if port.gaussian_mode_radius_um else None),\n", " name=port.name,\n", " )\n", "\n", "field_monitor = fdtdx.FieldMonitorSpec(\n", " name=\"field_xy\",\n", " center=(domain_m[0] / 2, domain_m[1] / 2, domain_m[2] / 2),\n", " size=(domain_m[0], domain_m[1], resolution),\n", " wavelengths=(spec.wavelength0_um * UM,),\n", " components=(\"Ex\", \"Ey\", \"Ez\"),\n", ")\n", "objects, arrays, config = fdtdx.setup_sparams_simulation(\n", " polygons=polygons,\n", " input_ports=[make_port(spec.input_port)],\n", " output_ports=[make_port(port) for port in spec.output_ports],\n", " wavelength=spec.wavelength0_um * UM,\n", " wavelengths=tuple(value * UM for value in spec.wavelengths_um),\n", " resolution=resolution,\n", " max_time=spec.run_time_s,\n", " domain_size=domain_m,\n", " background_material=fdtdx.Material(permittivity=spec.background_index**2),\n", " pml_layers=spec.pml_layers,\n", " field_monitors=(field_monitor,),\n", ")\n", "print(f\"Yee grid: {objects.volume.grid_shape}\")\n", "print(f\"Time-step ceiling: {config.time_steps_total:,}\")" ] }, { "cell_type": "markdown", "id": "c307491d", "metadata": {}, "source": [ "## 4. Plot the voxelized simulation geometry" ] }, { "cell_type": "code", "execution_count": 5, "id": "61de0eed", "metadata": { "execution": { "iopub.execute_input": "2026-08-16T19:34:49.370704Z", "iopub.status.busy": "2026-08-16T19:34:49.370455Z", "iopub.status.idle": "2026-08-16T19:34:50.249580Z", "shell.execute_reply": "2026-08-16T19:34:50.248690Z" } }, "outputs": [ { "data": { "image/png": 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VrZa6pOmVrZZKNq+cFwCP4jBsTn+Vx9q1a9W+fXv17dtXn332mR5//HHt3r27yO0ffPBBdezYUVu3blVSUpLGjRun7t2768yZM+U9FAAAAECxyJ3NQWUBgNN5hwS7vH1X9wGg8goLC9P8+fP1zz//aNiwYcVu+8UXX+ixxx7TnDlz9MYbb+jpp5/WmjVrtHHjRk2ZMsWkiAEAAABrVPbcmcIoAAAwRba8nP4qj+bNm6t9+/al2vaVV15RdHS0Ro0albcsLi5O1157rRYsWKDk5ORyxQAAAAAUh9zZHBRGATidzcWjOW0hwS7vAwAMw9DPP/+sTp06FZgTqUuXLkpPT9e6dessig4AAABwH56aO/PwJQDOFxZqTvuHEl3bDwCnMgyVe26jotqTpB07dhRYFxUVpejo6Aq1f+LECSUnJ6t27doF1tWpU0eStGfPngr1AQAAABSG3NkcFEYBOF1WDdeO5sxt33m/IgCYwSEvOZx4s0puWwMHDiywbtq0aZo+fXqF2k9NTZUk+fv7F1gXEBCQbxsAAADAmcidzUFhFIDTpcUEmNJ+kEt7AeApli5dqsaNG+dbFhUVVeF2g4JyfspkZGQUWJeenp5vGwAAAMATkDvnR2EUgNOdqu/a6Ytz23e/H6kAiuOQTdlOvB3I8e+48caNG6tly5ZOazdXZGSkQkNDtX///gLrcpc1aNDA6f0CAAAA5M7m4OFLAJzOdnGSy9t3dR8AIEkXX3yx1q1bp+zs7HzLf/75ZwUGBuqCCy6wKDIAAADAvXhi7kxhFAAAmMJh2Jz+crVJkybp6NGjeuONN/KW7d69W4sXL9aYMWMUEhLi8hgAAABQ9ZA7m4Nb6QE4l81Lf3R6z6Vd5LZ/ha29ZDhc2hcA58lJyJw4gXw5k7sTJ07oueeekyRt2LBBkrRgwQKtWLFCkvTYY4/lbdu7d29Nnz5dEydO1I8//qjIyEgtXrxYnTp10tNPP12xDwAAAAAUgdzZHBRGATiVd7VQU/vKPnXKtP4AVA42my3vyZhdunRRly5dit1+2rRpGjp0qL777julp6fr3XffVc+ePWWzuf6qOwAAAGClyp47UxgF4FS2MPMKo7awUInCKOAxHLIpW86fQL6sIiIi9MADD5Rpn2bNmqlZs2bl6g8AAAAoK3JnczDHKACnMsLMmzPEzL4AAAAAAEDlwohRAE6VUdO8YmVGzRD5bDatOwAV5OxJ382YQB4AAACwArmzORgxCsCpTtf1q5R9AQAAAACAyoURowAAwBQOw8vJT9bk+i4AAAAqJ3Jnc1AYBeBUSc0MU/uqblpvACrKUPknfS+qPQAAAKAyInc2B+ViAE41tf+yStkXAAAAAACoXBgxCsBpvAIDNS7skGn9jQs7pI8D68mRlmZanwDKL9uwKduJk747sy0AAADAnZA7m4MRowCcxqt6RJXoEwAAAAAAeD5GjAJwGiMi1Jo+D5jeLYByMOTcCeQNru8CAACgkiJ3NgeFUQBOkxUZbEmf/HgHPIPDsMnhxFt4nNkWAAAA4E7Inc1BPQEAAAAAAABAlcOIUQBOcybO35I+q5neK4DycMgmh5x41duJbQEAAADuhNzZHIwYBeA0J1qY/4PWij4BAAAAAIDnozAKwGn+7+qlVaJPAOVjGP+bK8kZL8Ow+hMBAAAArkHubA4KowAqzCswUF6BgRoXdsj0vseFHZJXYKDp/QIAAAAAAM/GHKMAKsyreoTl/TsOpFkaA4CSOQwvOQznXZN1ZlsAAACAOyF3NgeFUQAVZkSEWt//AUtDAFAKubfxOLM9AAAAoDIidzYH5WIAAAAAAAAAVQ4jRgFUWGZMiOX9e2+xNAQApWDIJoecd6XacGJbAAAAgDshdzYHhVEAFZYc52d5/+GWRgAAAAAAADxNpbqVfsOGDbr11lvVvHlzBQUFqXHjxrrpppu0f/9+q0MDKrUTLXNeVvYPwP3lzpPkzBcAAABQGZE7m6NSFUY7dOigP//8U/PmzdOxY8f0/vvva/369Wrfvr327NljdXhApfXu4Jf17uCXLe0fgPtzyMkJntUfCAAAAHARcmdzVKrC6F133aXly5era9euCgoKUseOHfXuu+/q2LFjeuGFF6wOD6iUvENDdYG/ry7w97Ushgv8feUdGmpZ/wAAAAAAwPNUqjlGn3nmmQLLGjVqJJvNpt27d1sQEVD52cKqWR2CpH/jSE62OgwAxTCcfAuPwe1AAAAAqKTInc1RqUaMFuaLL76QYRhq1qyZ1aEAAAAAAAAAcBOVasTouZKSknTHHXcoODhYEydOLHbbI0eO6OjRo/mW7dixQ5Lk4+8jXy9rDpVvgI+8/bzlG1CpT5Vb4ZiXjVetCNmz/SvUhj3bT9kOH9mzy/90e+9aEbIdO1yhOKoSvufms/qY+zh8pAxLus7j7EnfmUAeAAAAlRW5szkq7V/EGRkZGjx4sPbs2aO33npLdevWLXb72bNn6+GHHy50XUyTSEUERroizBL5+Hmrer1w2STZM7MtiaGq4ZiXjf38Gjp2umGF2sh2+Co5taYkm7y9ssrVRtT5NeRjxFQojqqE77n5rD7mJ9N8pC2md5uPQzY55MTkzoltAQAAAO6E3NkclbIwmpWVpWuuuUbff/+9Zs2apeuuu67EfcaPH68hQ4bkW7Zjxw4NHDhQh7cfV6qX3VXhFss3wEeGpEPbjigr3ZoYqhqOedmc6FRfNartqlAbOSNFDUWG7pGPd2a52vjTO0vVtzBitLT4npvP6mOe7Dhlep8AAAAA4M4qXWE0Oztb1113nT799FO9+OKLGj9+fKn2i46OVnR0dKHr7Bl2ZdmsKxxkZ2YrK91O8cJEHPPSS2yTJR/vit+f6+1ll493ZrnbSmyTpVDOV5nwPTeflcfcblh/nplAHgAAACgdcmdzVKqHLzkcDo0ePVoffvihXnjhBd12221WhwRUeruummt1CJLcJw4AAAAAAOAZKtWI0VtvvVVvv/22nn/+ed1+++1WhwNUet7h4VaHkI93eLiyk5KsDgNAEZhAHgAAACgdcmdzVJoRo8eOHdPrr78uSbrjjjtks9nyveLj4y2OEKh8bOFhVoeQj7vFAwAAAAAA3FelGTFao0YNGYZhdRgAAKAIDsO5V6od/NoHAABAJUXubI5KUxgFYD5HZKjVIeTjiAyV9lgdBYCiGHLyBPLidiAAAABUTuTO5qg0t9IDMF96zSCrQ8jH3eIBAAAAAADuixGjAMotqaF7/QhJauijaKuDAFAkw7DJcOZVbyaQBwAAQCVF7mwORowCKLeUi1KsDiEfd4sHAAAAAAC4LwqjAMrH5qV/ui2yOop8/um2SLLxYw1wVw7ZnP4CAAAAKiNyZ3O4132wADyGd0SY1SEUyjsiTNknTlodBoBCGIaTJ5DndiAAAABUUuTO5mBoFQAAAAAAAIAqhxGjAMrFFu6eI0Zt4WESI0YBt8QE8gAAAEDpkDubgxGjAMolu3qo1SEUyl3jAgAAAAAA7oURowDKJSMm0OoQCpUREyg/q4MAUCiHIafOk+QwnNYUAAAA4FbInc3BiFEA5ZLU0D2vq7hrXAAAAAAAwL1QGAVQLikXpVgdQqHcNS4A/5snyZkvAAAAoDIidzYHQ6sAlJ3NS/90W2R1FIX6p9siXWFrn/PGcFgbDIB8DNmcejuQIZI7AAAAVE7kzuZgxCgAAAAAAACAKocRowDKzDusmtUhFCs3vuykJGsDAZCPYeS8nNkeAAAAUBmRO5uDEaMAysxWLcTqEIplqxbi9jECAAAAAABrMWIUQJk5It17xGhefPusjQNAfg7Z5HDi3EbObAsAAABwJ+TO5qAwCqDMMqKDrQ6hWLnx+VocB4D8nP00TJ6sCQAAgMqK3Nkc3EoPoMySY9275Jgc6+v2MQIAAPe0Y8cOxcfHa9CgQSVuu2fPHsXHx2vgwIGuD+wc+/fvV3x8vB588MFK3ac7WbBggeLj47Vy5Uq3bNdV8VUmHCMA56IwCqDMTrRxWB1CsU60cbh9jEBVZBg2OZz44qo3AFdo3LixTp48qaVLl+q3334rdtu33npLa9euVaNGjZwex65duxQfH69HH3200PXp6elau3attm/f7vS+i2JFn+5k//79Wrt2rU6cOJFv+Zw5cxQfH681a9YUul9J64tq16z4KhOzjjVgBnJnc1AYBQAAAICzjBo1SlJO4bM4b7/9dr7tnSk1NVVr167Vzp07C10fFxen1atX67HHHnN63yjcmDFjtHr1al1yySX5lickJGjt2rVKSkoqdL+S1hfVrlnxVSZmHWsAlQdzjAIos3su/9TqEIqVG98SRVscCYCzGUbOy5ntAYArjBw5Ug8++KDee+89Pfvss/LxKfhn05o1a/TPP/+obdu2atu2rekx+vv7Kz4+3vR+q7I6deqoTp06btuuq+KrTDhG8CTkzuZgxCiAMvHyD9C4sENWh1GscWGHNC7skLz8A6wOBcBZDP1vEnmnvKz+QAAqrbp166p79+46evSo/vvf/xa6zaJFiyRJ119/fb7lx44d01NPPaUBAwaoW7duGjx4sObOnavMzMx8223dulXx8fF6+umnlZaWpueff15XXXWVunTposcff1zXXXedJOmLL75QfHx83uuHH36QVPJ8n8ePH9fMmTM1aNAgde/eXaNGjdLChQtlt9vzbZeSkqI333xTN954o3r27KnevXvrvvvu0+7du8t+4M5x9mdMSUnRU089pT59+uiyyy7TPffco8OHDxe5rzOO4/bt2/XCCy8oPj5eGzZs0N9//62JEyeqZ8+eGjx4sD7//PO8dhISEjRlyhT16tVL/fr108KFCwvEVNj8lEOHDtWCBQskSXfccUfeeeratWup1hfV7sMPP6z4+HitW7eu0OOzc+dOxcfH684776xQfI899pji4+O1du3aQvvZvn274uPjNWXKlELXn+uHH37QTTfdpCuuuEJ9+vTRpEmTtGrVqkK3/e2333T77bfr8ssvV48ePXTTTTcVO/fn+vXrdeedd+qKK65Qr169NHHixHzHp7zHOpdhGPrkk080atQode/eXX369NH06dOVmJhYYNuzv1d79uzRHXfcoZ49e6pv37566aWXCnxPgfIgdzYHI0YBlIlXWKjVIZSaV1ioHEfSrQ4DAAB4oOuvv14//PCDFi1apP79++dbl5mZqcWLF8vHx0fDhw/PW75ixQpdffXVOnnyZL7tP/roI82ZM0ffffedwsPDJUnJyclau3atmjZtqq5du2rDhg1527dp00abNm2SlFMgPHbsWN6648ePS/rffJ/169cvEPv333+vIUOGFIjjrbfe0ueff64PP/ww73PUqlVLycnJ+bb7+uuv9dJLL+nTTz9Vz549S3O4CpX7GZs0aaKLLrpIf/zxR74Y33zzTa1YsUItWrTIt5+zjmNKSor27NmjtWvX6quvvtITTzyhlJSUfO29/vrr6tChgy6//PK8YyvlFKQPHjyoe++9N29ZYfNTbty4UQcOHJAk/fXXX3nLvb29S7W+qHbbt2+v6dOna968ebrgggsKHNuFCxdq7dq1uvnmmysU30UXXaQHH3xQs2bN0oUXXlign9dff11r167V1KlTC6w712233aaXX365wPJXXnlFL774om677ba8Zffcc49mzJiRb7sVK1Zo7ty5uu+++/T444/nWzd16lTNnDkz37LvvvtOs2bN0pIlS/Sf//yn3Mdakux2u4YMGaKlS5fmW/7f//5XL7zwgj799FN169Ytb3nu9+r777/X448/rlOnTuWt+/LLL7V8+fICbQFwTxRGAZRNNc8pjKpaqHTkqNVRAPhX7tVqZ7YHAK7yn//8RxMmTNBnn32mpKSkvEKclFM0O3HihPr166eYmBhJ0oEDBzRo0CClpqZq4sSJuvTSSxUREaGEhATNmTNHq1at0h133KE333wzXz/vvfeeQkNDNWPGDJ1//vkKCQlRZGSkunXrpuuuu059+vTJNyq0adOmxca9b98+DRo0SMnJyerYsaNuvvlmNWzYUAcPHtR3332Xr/jncDjk7e2tyZMnq2PHjoqNjdWJEyf02Wef6c0339SYMWO0c+fOQqcSKIv3339fgYGBevLJJ9WhQwcdOHBAM2fO1LZt2zR8+HBt2LBBNpvN6cfx7GM1bdo0de3aVbfccouqV6+uzz//XC+99JLuvfdeVa9eXQ0bNtQLL7ygWrVq6fvvv9eMGTM0Y8YMTZgwQdWqVSvysy1evFgvvPCCFixYoOeffz5veoPcz1PS+qL06dNH0dHR+uCDD/Tiiy8qIOB/d0IZhqG3335bQUFBGjx4cLHtlNR/jx49dN5552nJkiV66aWX8n3PMzMztXDhQsXGxmrAgAHF9nPw4EG98sorCggI0L333qv4+Hh5eXnpn3/+0fvvv5+v+P7GG29oxowZatCggcaPH6/WrVvL29tbv//+u5599lk98cQT6tatm6644gpJ0muvvaaZM2fKy8tLo0eP1uWXX67IyEj9/fffWrhwYV7b5T3WkvTEE09o6dKlCgwM1N13363OnTvryJEjmjVrltasWaPBgwfrn3/+yXd8JOm+++5Tx44dNWHCBNWuXVu//vqrHn30US1btkwrV67MV0wFyorc2RwURgGUSXb1YKtDKDVPihUAALiXkJAQ/ec//9GiRYv0wQcf6KabbspbV9ht9C+//LKSkpL0wQcfaMiQIfnauvbaa9WxY0e99957mj17tgIDA/PWORwOLV++XO3atcu3T0ZGhiQpKiqqTHOJvvjii0pOTla/fv20bNkyeXn9b/a0ESNG6MyZM3nv/f39lZCQoJCQkHxtDBo0SAEBAXr11Ve1bt06de7cudT9F8Zut+urr75Sly5d8pYNGTJELVq00MaNG/XTTz/lFZCcfRxzdenSRcuXL88rkvXq1Utbt27V999/rzp16ujnn3+Wr6+vJOnSSy/Vnj179N577+n3338v9kE9bdu2zZuzsnnz5gXOVUnri5I7Gjl3tOI111yTt27lypXavXu3RowYodDQ4gctlKb/W2+9VZMmTdJbb72lSZMm5S1funSpjh49qsceeyzfqMvCnDhxQoZhaOTIkXrooYfyll922WUaP358vsLoY489pqioKK1bt06RkZH5tr388svVrl07vfHGG7riiitkGEbeA8YWLFigkSNH5tt+woQJed/p8h5rh8Ohl156SZK0bNky9erVK2/d0KFD1aVLF61bt67A8ZGkCy+8UCtXrsz7d5Y7wvree+/VDz/8QGEU8ADMMQqgTNJjAkveyE14UqxAVeAwbE5/AYAr5RY+cwuhUk4B6Msvv1RERES+W+y///57SdLzzz+vrl276qKLLtJFF12kLl26qFu3bjp06JAyMjIKzN158cUXF1nMK4/ly5dLkh5//PF8RdFcZxdBbTabvL29NXfuXF133XXq0aOHOnfurPj4eH311VeSpB07dlQ4ps6dO+crikpScHBw3m3gP//8c95yVx3HsWPHFhg5mHuL+ujRo/OKorlybyvfu3dvGT6pc40ZM0aSCsx3mvt+9OjRTuln1KhRCgkJ0euvv55v+euvvy4/Pz+NGzeuxDaaNGmi2rVr6+uvv9bXX39dYI7N3ALuzp07tWfPHtntdg0YMCDvHHfp0kVdunTRLbfcIpvNlncr/D///KMDBw6oRYsW+YqiZzu3sF9Wf/31l44fP662bdvmK4pKOQXq3PlVz/6e5rrpppsK/DvLndO0sLlJgbIgdzYHI0YBAAAAoBA9evRQ3bp19fPPP2vXrl1q2LCh3nvvPWVmZurGG2+Uv79/3rYHDx6UJK1evbrYNlNTU/O9b9iwoVNjPnz4sGw2W4F5OwuTmJio7t276++//y5ym3PjLY/GjRsXurxJkyaSpKNH/zf1kauOY1xcXIFlwcHBJa5zxucvrzZt2qhdu3b6+uuvlZiYqJo1ayo1NVVLlixRXFycevTo4ZR+qlWrpuuuu05z5szR6tWr1blzZ+3cuVPLly/X8OHDFR0dXWIb/v7++vzzzzV+/Hj17t1bAQEBatu2rbp166aRI0eqdevWkv53fk+ePFlooTFX7nHPfUDXeeedV9GPWaTc719R01TkLj9y5EiBdXXr1i2wLLdQm5WV5awQAbgQhVEAZXI6znN+bJyO81GU1UEA+B9DMpz5OEwerQnAxWw2m0aOHKnHH39cixYt0vTp04t8Gr2/v79sNpu++eabYkewnVuw9PPzc2rMgYGBMgxDx48fV82aNYvd9tFHH9Xff/+tjh07aty4cWrYsKGCgoLk5eWljz76SM8884wMJ/zgPvchSrlyH4Bz9vyZ7nIc3cX111+vO+64Q++8847uuusuffzxx0pOTtakSZMKHRFcXuPHj9ecOXM0d+5cde7cWfPmzZNhGJowYUKp22jfvr1Wr16t/fv365dfftFvv/2mpUuX6tlnn9WcOXM0duzYvIsJnTt31nPPPVdkW7nfidzpEs5+AJmz5fZx7gOZcuUuP3vqBsAU5M6m8JwKBwC3cLqpw+oQSu10UweFUcCNMIE8AE90/fXX6/HHH9dbb72lYcOG6ddff1WzZs0KPMG7devW2r17txITEzVixIgK95s7p6Pdbi/Tfm3atNGuXbu0ZMkSTZw4sdhtf/31V0nSN998o4iIiHzrXn311TL1W5zVq1crOTm5wHyY33zzjaT8RU5nH0czlHSuynsuJem6667T1KlTtXDhQt111115t9GfW5ivSHxSzvfmoosu0uLFizVz5kwtWLBA7du3L9f8srGxsbrmmmt0zTXX6NFHH1Xjxo119913a+zYsWrRooV8fHy0bds2NWnSJN8co4Vp0aKFfH19tW7dOu3bt6/QEZpl/aznatq0qWw2m9atW6fjx48XiOnLL7/MiwUwE7mzOZhjFECZ3H3Fp1aHUGqeFCsAAHBPTZo0UefOnbVr16680XOFFaXGjh0rKWfk3fvvvy+H438Xk7Ozs/X111/r4YcfLnW/uYXKrVu35murJLnzTt57771666238o343Lhxo1588cW891FROZeQv/vuu7xlWVlZeuGFF/TWW2+Vus+SHD9+XGPGjMn3AJ6XX35Zn3zyiQIDA9W3b9+85c4+jmbIPVd//PFHudYXJyoqSn369NHmzZv12Wefafny5ercuXORt31XpP/x48crNTVVw4YNU2JiYomF9bOtXbtWTzzxhPbv359v+fbt23Xq1CmdPHlSmZmZCg0N1TXXXKNTp06pf//+2rRpU77tk5KS9Oqrr2rp0qWS/vcQtNTUVA0aNEibN2/O2zY7O1vvvfde3ry6ZfmsZwsPD1evXr10+vRpjRgxIt/o1Pfeey/vwUznPgwMQOVAYRRAqXj5+cnLz0/jwg5ZHUqpjQs7JK9KelsV4Ilyr3o78wUAZsgthH7//ffy8vIqdCRj//79ddNNNyk5OVnDhg1TeHi4WrdurcaNGysoKEi9e/fWZ599Vuo+a9asqQYNGmjjxo2qXbu2OnXqpPj4eP3www/F7jdgwIC8p8+PGjVKYWFhatOmjaKiotS+fXv997//zdt28ODBkqRrrrlG9erVU9u2bRUZGak77rhDF110UaljLUmHDh20bNkyRUVFqVWrVqpevbpuu+02STlPKK9evXrets4+jmbIHVX5wAMP5D0NPfcBPKVZX5Lc79+YMWPkcDjKNFq0LP0PHjxY0dHR+vbbb1W9enUNGzas1H0cPXpU999/v+Li4vK+a40bN1br1q2VnJysAQMG5E138Pzzz6tRo0ZavXq12rZtq9q1a6t9+/aqVauWqlevrvHjx+d76Ndzzz2nuLg4bdiwQW3atFHt2rXVunVrhYSEaPjw4dq3b1+ZP+u5nnvuOYWEhOirr75S7dq1dd555yk6OlrDhw9XZmamxo0bV2CUOOBq5M7moDAKoFRsIcGyhQRbHUaZeWLMAADAvVx77bV5cyP27Nmz0If1SNKcOXM0Z84cNWrUSMnJydqyZYt27twph8OhK6+8sswjHefOnatatWrp8OHDWrdundauXavjx4+XuN/ChQs1Y8YMxcTEKDk5WZs3b9axY8d0/vnna/LkyXnb3XDDDZo2bZoCAgK0b98+bdq0Sf7+/nrllVfKXHwrTseOHbV48WJFRERo69atOnnypKpVq6Znn31Wd955Z4HtnX0cXe3CCy/U3XffLT8/P/39999au3at1qxZU+r1JenXr59q1Kih48ePKyAgQNdee61T48vl5+enG2+8UVLOd6Msc2rGx8frvvvuU926dXXs2DFt3LhRO3fuVFhYmO644458I5Cjo6P166+/6pZbblFoaKgOHTqkjRs3KjExUREREZowYYIGDRqUt32tWrW0du1aDRs2TP7+/jp06JC2bNkiu92u6667TpdeemmZP+u5WrZsqZ9++kldu3ZVVlaW/vzzTx09elQRERF65JFH9Nprr5X6WADwLDbDGbNpV1Jbt25Vq1atFK9eCrGFWRKDb4CP6rSK0YEth5WVXvY5aVB2HPPC+dSNlSR9seYLp7dtz/bXsdMNVaPaLvl4Zzi17b7xfWXft7/kDasYvufms/qYnzFOaY2+1ZYtW9SyZUtT+879fVrv+Qnyr1vyk21LK2PfEe29Y5YlnwlA1bN582alpKQoNjZWsbGxJW5/4MABHT58WBEREYqLi5OPT/7HO5w5c0ZbtmxRTEyMGjRoUGQ7DodDO3fu1MmTJ+VwONS0aVNVr15dGRkZ+v3331WjRo0in/puGIZ27dql5ORk1a9fX+Hh4YVul5GRoZ07d8rb21uNGjWSj4+Pjh49qp07d6phw4Z5TyUvTZ9nW7NmjTp37qybb75Zr732mrKzs7V9+3ZlZWWpadOmecXm4lT0OO7du1eHDh3Seeedp2rVqhVoOyEhIe+Ynq2wz5+7fbNmzQrMySpJKSkp2rFjh9LT0yWpwAjDotaX1K4k/f333zp58qSCg4PznvBe2LGqSHySdNNNN2nevHnasWOHGjZsWGg/JTl27Jj279+v6tWrq3bt2gXO2dnsdrt27dqllJQU1alTJ+9YFyU1NVW7du3K+64W9dCtihzro0ePav/+/QoKClLjxo3z5i09W3Hfq9TUVG3atEnR0dHlPoao2sidzcXDlwCUilHNM0deemrcQGVkyMkTyIvbgQCYp6hiVFHq1KmjOnXqFLk+JCRE8fHxJbbj5eWlJk2aFFju7+9f4v42m02NGjUqsQ9/f3+dd955+ZZFRUXlzUFalj6L4+3trebNm5dpn4oex3r16qlevXplbruwz19SLMHBwWrbtm2Z15fUriQ1a9as2PXOiG/dunV688031aNHjwoV9GrUqKEaNWqUalsfH58yzZcaFBSkVq1albhdRY51Yef+XMV9r4KCgir07wTIRe5sDgqjAAAAAABUUWPGjNHGjRvzbk+fMmWK1SEBgGmYYxRAqdgjgmSPCLI6jDLzxJiBSstwwcvDrF69WocOec5D7AAAld/mzZu1ceNGORwOTZkyRb1797Y6JAASubPMyZ0pjAIolfQafkqv4XlPePfEmAFUXu+8847q1q2rAQMG6NNPP5Xdzhy/ACqvVq1aafXq1br77rutDgXFWLBggX799VcdPnxYTz/9tNXhAEAeM3JnbqUHUCrJsQUnHfcEybHeKv3zNAG4kmHIufMkeeBV7zvvvFN+fn5asGCBPv30U9WsWVPXX3+9brjhhjLNsQYAnqC086jCWqWZsxOA+cidzcmdGTEKoFRONc/WqebZVodRZp4YM4DKq2HDhnruued04MABzZ8/X7GxsZoxY4aaNWumbt26aeHChUpNTbU6TAAAAMByZuTOFEYBlMqA+PUaEL/e6jDKzBNjBiotI/fKt3NeFZ0nadeuXfriiy+0ZMkSrVu3ToaJl9EDAwM1ZswYrVu3TuvWrdOYMWP022+/afTo0apZs6Zuvvlmbd682bR4AAAA4GbInfO4MnemMAqgRDYfXz1fa72er+V5Rcbna62XzcfX6jAAKOdWIGe/yuPkyZO66qqr1Lx5c7388st677331LdvX5133nn69ddfnfypSxYQEKDAwED5+OTMcBQREaHXX39dbdu21R133GF6PAAAALAeuXPhnJ07M8coAACoUu6//3599tlnWrlypS6++GJJUlJSks4//3xdc8012r17t2w2583nVJjMzEx9/PHHmj17tn766ScFBwdr+PDhmjBhgtq2bau///5b8+fP17PPPqurr746L054jqSkJP3444+Ki4uTv7+/1eEAAIAyyMjIUEJCgi655BKFh4dbHY6lKnvuTGEUQIlsfp494tLm5yvDnmV1GAAMW87Lme2Vw++//66aNWvmS5jCw8N1+eWXa86cOTpx4oQiIyOdFWU+CQkJeu211zRv3jwdOXJEzZo10wsvvKDRo0crLCwsb7tmzZppxowZ2rdvn7Zu3Uph1AP9+OOPGjhwoNVhAACACli6dKkGDBhgTefkzqbkzhRGAZTIKzTE6hAqxCs0RA4eZgLgXx07dtS6det04MAB1alTR5JkGIb++OMPNWjQwGWJnSTNmDFDr732mvr3768JEybo0ksvLfYK+yWXXKK4uDiXxQPXyT1vbdRZQXKP36M+/j6KaRKpw9uPy55htzocFIHz5Bk4T56B8+QZ3PE8peqMNmk1eZgqf+5MYRRAyYKDrI6gYjw9fqCSMPTvxO9ObE+SduzYUWBdVFSUoqOjC93vscceU2Jionr27KkxY8YoJCREn332mZKTk/XRRx85L8BCDBkyRHfffXepE7ZbbrnFpfHAdXJvnw9SiEJsYSVsbQ5fLx9FBEYq1cuuLJt7/OGJgjhPnoHz5Bk4T57BLc/Tv4mmldPhkDubkztTGAVQIiPQz+oQKsTT4wcqDSc8DbNAe1KhtytPmzZN06dPL3S3wMBANWnSRD/99JO+//57hYaGatOmTerSpYuqV6/uxAALqlevnvz8iv6ZtGfPHgUGBiomJsalcQAAAMDNkTubkjtTGAVQIkewZz80wtPjB1C8pUuXqnHjxvmWRUVFFbn9zTffrHfffVc//fSTOnXqJEk6deqUevbsqW7dumnbtm0KDg52SazPPPOMmjdvrokTJ5ZrPQAAAFAR5M75URgFUKK0moFWh1AhaTUDFWB1EABkGDYZTpxAPretxo0bq2XLlqXaJysrS2+//bauvPLKvMROksLCwnTbbbdp9OjR+vbbby17aE5WVpa8vb0t6RsAAADug9y5dPFVNHemMAoAAKqMtLQ02e12BQUVnHs4d1lycrLT+8zIyJAkZWZmKi0tTUlJSfm2MQxDBw8e1MqVK3X55Zc7tX8AAACgPKpC7kxhFECJMsI8e/RSRpg3I0YBd+CieZLKolq1amrdurWWL1+uEydO5JsX6cMPP5SXl5e6dOnixCClKVOmaNasWfmWTZ06tdBta9WqpUsvvdSp/QMAAMADkTvncWXuTGEUQIkywpw3fN8Knh4/UFm46nagsnrttdc0cOBAXXDBBbrxxhsVEhKiL7/8Ut9//72eeuopNWrUyGkxStKAAQMUGxsrSfr0008VFRWlzp0759vG29tbtWvXVt++fRUeHu7U/gEAAOB5yJ3NyZ0pjAIo0an2WVaHUCGn2mcp2uogALiNLl26aPfu3Xrvvff0999/6+DBg7rssss0a9Yspyd2ktSrVy/16tVLktSgQQPFxMSoe/fuTu8HAAAAcLbKnjtTGAVQolp1TlgdQoV4evxApeEGtwPlCg4O1tixY50XSylde+21pvdZlaSlpemjjz7S1q1bFRoaqj59+qhdu3al2nfmzJk6cOBAgeX169fX5MmTnRsoAABAScidTcmdKYwCKNHPbT62OoQK+bnNx7pCba0OA0AVlJKSorS0NIWEhCggICDvfXFyt0XZHDx4UD169JCXl5dGjBihhIQEderUSdOnT9d9991X4v7vvPOO0tLSdOutt+ZbXqtWLVeFDAAAgLNYkTtTGAVQLC8/P6tDcAovPz85MjOtDgOo4mz/vpzZnnu7++67NWvWLL388suaOHFi3vvi5G6Lshk3bpzOnDmjbdu2KSwsTJLUsmVLTZo0Sd27dy/VgwHi4uIYHQoAANwEubMZuTOFUQAAABcZPHiwGjdurIsvvjjf++LkbovS27t3r7788kvdf//9eUVRKadYes8992j27NlOf2IqAAAAnMuK3JnCKIDieXtbHYFzVJbPAXg6Z86T5AG6d++eb7L4c9/DOVatWiVJ6tSpU77l/v7+at++vX766adStbN//35NmzZN6enpql+/vvr375/3VFQAAADTkTu7PHd2amE0NTVVQUFBzmwSgMW8Ksm/aa+gIDlKmJsEgIu50QTyVlm9erUaNGigmjVrWh1KpZKQkCBJql27doF1tWvX1s8//yzDMGSzFX0LmZeXl2JjY+VwOCRJs2fP1uTJk/Xiiy/qlltuKbb/I0eO6OjRo/mW7dixQ5Lk4+8jXy/3GIvgG+Ajbz9v+Qa4RzwoHOfJM3CePAPnyTO443nycfhIGRYHQe5sSu5c7m9ddna2Pv/8c3366adauXKl9u3bp8zMTPn5+alevXrq1q2brrrqKvXt21fejNQCPFdgJXkASGX5HAA82jvvvKM5c+aoT58+uvHGG9WnTx/5+LjPHwFl4XA49Mcff2jt2rU6dOiQMjIyFBUVpZYtW6pr164KCQkxLZbcSfn9/f0LrPP395dhGMrIyCh2Yv7FixerSZMmee8ff/xxDR06VOPHj1f79u114YUXFrnv7Nmz9fDDDxe6LqZJpCICI0v7UVzKx89b1euFyybJnpltdTgoAufJM3CePAPnyTO443k6meYjbbE6CpiRO5e5NbvdrldffVUzZszQgQMHFB4ero4dOyo+Pl7VqlXT6dOndejQIS1ZskRvvPGGYmNjNXXqVN16660em/gDVYlP/Xoygv2V2iBctmxDB9r7Wh2SU+wdVU9Rv9eW4Z0zWihod5JsKRmy79lrcWRAFWJIMpw46bsHXvX+v//7P1WrVk0LFy7Up59+qpo1a+r666/XDTfcoKZNm1odXqns3btXr776qt58800dOXKk0G18fHzUv39/3XrrrerVq5fLYwoODpakQp9ampaWJm9v7xKfVnp2UVTK+QyPP/64PvroI7377rvFFkbHjx+vIUOG5Fu2Y8cODRw4UIe3H1eql720H8WlfAN8ZEg6tO2IstLdIyYUxHnyDJwnz8B58gzueJ6SHaesDoHcWebkzmWuVLZu3VpHjhzRqFGjNGLECJ1//vmF3pZkGIbWr1+vt99+W9OnT9fs2bP1559/OiVoACXziY6So1aUUuuFKDnOR+k1pKzQnJ+EXnGpqlvjhGoEpGpA1O9q4ndYHfKePv+HdUG70JaJrxa5bn1mprZnxmjZ0faSpGPpQdp3rLocCUHyTbYp4JgUmpDzCzpo7xl5HToq+5GjRbYHAEWpX7++nnjiCT366KP673//q/nz5+u5557TjBkzdPHFF2vs2LEaPHiwW05NlJycrMcee0wvvviiQkJCNGjQIF100UVq166dIiMj5e/vr+PHj2vXrl1as2aNPvvsM11++eXq3r27XnjhBbVt29ZlsTVo0EBSzhyh584zmpCQkLe+rOrXry9JSkxMLHa76OhoRUdHF7rOnmFXls09/siTpOzMbGWl293mD08UjvPkGThPnoHz5Bnc7TzZDfeIo6ozI3cuc2F02LBhuuOOOxQaGlrsdjabTR07dlTHjh31yCOP6Pnnny93kABy+NSprcwmNXW6Xs6tgim1bUqr5ZB/7RS1rnlIl0Vu0xXB/0iS6voU/280P7+SN6nEOvj5qYPfSQ0NWV7qffbZk/V1SlN9d/w8bU6sJUnKOBiswENeCj5oqNreDPltT5T9wEFXhQ14HMPIeTmzPU/l7e2tfv36qV+/fjpy5IjeeustzZ8/X9dff71Onz6tiRMnWh1iAd9//72+/PJLvfXWWxo4cKB8fQveURAdHa0WLVqob9++evTRR7V582bNmDFDjzzyiD766COXxdatWzd5eXlp1apVuvrqq/OWJycna+PGjRo5cmS52s29qB8XF+eUOAEAAEqL3Pl/XJk7l7kw+tBDD5W5k2rVqmnatGll3g8AAFQiTCBfKD8/PwUGBpZ4q7fVLr30Ug0YMKDYBxidq3Xr1nr77bd16pRrb0eLiYnR0KFDtWDBAt155515T5KfOXOm7Ha7brvttnzbz5gxI28ErCT99ddfcjgcOu+88/K2SU5O1p133ilfX1+NGTPGpfEDAAAUQO5cKGfnzkz6CbgJn3pxSm1RU6cb+OpMnJRdN2eetBaxieoR9beuD9uiSK/gUrRUlpGiKK+6PqEaF3ZI48IOSQ2L3u64I0ULT7WSJP1wtJn+3F9T3vsCFZIgVdudpaA/c27PtO9NMCNsAG7CMAwtX75c8+fP18cff6z09HR16NBBr776qoYPH251eIUq6W6h4oSFhTkxksLNmjVL/fv3V4cOHXTVVVdp//79WrFihebNm6fWrVvn2/att95SYmJiXmHU4XBo5MiR8vPzU/PmzZWenq4VK1YoOztbS5YsUcuWLV0ePwAAAArnytyZwihgAq+gIBmtG+t0o2CdamBTaoMsxcYdlyT1q7NZY8P/KEXRszRFUbibSK9g3RmxW5Jy/r+I+aGPO1I0L6mtPj/QWvsTIhW021dhu3Mu6VXbmSLb5h1ypKaaFTbgGobNyRPIO7Etkxw4cEDz58/X/PnztWfPHkVERGjs2LEaN26c2rRpY3V4Hi08PFwrV67UTz/9pG3btumSSy7Rm2++qZo1axbY9p577lFKSkre+/POO0/r16/Xhg0btGXLFqWmpuqGG25Qt27dCn3SPQAAgMuRO5uSO1e4MGq32/Xaa6/pjTfe0O7duwu9Vcrw5IkMgBJ4/TvJr6NdU51sFqjTDWzKrJupJnUTNTZ2lSRpSMgpSauLaYWiZ1UX6RWsu6vv0N3Vd0itC9/mwzNhmre/q7bvqym/fTnzwlbbbSji7zR5bfyHwingAZ588knNnj1bPXr00OOPP67//Oc/Hl94O3TokL7//nvt379f6enp+dY1b95cQ4cONS0Wm82mbt26qVu3bsVuN2LEiEKXn3/++Tr//PNdERoAAADKyIzcucKF0bvuukuvvPKKLrnkEnXp0qVCt1kB7sjm4yt1aCFJSmoarNMNbEpvkKkm9XIKnzlFT6n4widQcUNCTmlI8y+k5oWvzyuc7s0ZHRWw20/VdhsK/ydFWv+nDHuWidECBdkk2Zx4rdTzrnlLgwcP1p133qmGDYuZg8ODzJw5Uw8++KAyMjIKXT9gwABTC6MAAACVBbmzOblzhQujCxcu1DvvvEPSC4/m3bq5TjcLlySlNfaWrbmfsmr7q1/sek0K3yfpN0vjA0qjpMLpy0l19cmBdtq9O0b+NpsCj4UqtXFdBWw9qezNf5kbLFBFde/e3eoQnGbXrl265557dPvtt2vs2LGKjY2Vn59fvm28vb0tig4AAACezozcucKFUZvNpr59+zojFsBlfBo3VHKrKElSUiNvnanvUGTDE+pd50/dF7VegbY/8ra1Z/vr2OmGqlFtl3y8Cx8BA3iiSeH7cgr9Lc/6no/I+Z6nGRl64mgHfXUgZ3T08V3VFbLHS+E7sxW65ajsO3ZZHD0qhSr4ZM2UlBSlpaUpJCREAQEBee+Lk7utu/v777/VoUMHPffcc1aHAgAAUPmQO5uSO3uVe89/9e/fXz/99FNFmwEAAJVd7gTyzny5ubvvvltRUVGaN29evvfFvXK3dXdNmjSRw+GwOgwAAIDKidzZlNy5wiNGX375ZY0dO1ZHjx7VlVdeqejo6Io2CZRZ7ojQpEY5t+yl1HUotP4pXRr3j+6OWqlo7z+K2duzH3oBOEOgzV+PRm/Ro9Fbcha0z7/+SPYZzTia8zCT7xOaKnlPmIL3MaIUKMngwYPVuHFjXXzxxfneFyd3W3fXuHFjtWvXTh9++KGGDBlidTgAAADwcFbkzhUujIaFhal///4aP368UlJS5OXlJZstfxXabrdXtBtUYV5BQVLzBjrVvJqS42xKqZ8tSarT8Kh61vxHt0X+qkiv4gqfIeYEClRi0d4herbmhpw3NTdIF+Rff9yRIkl66XgnLU9sqgO7ohS8x1uhCYbC/jqds9Ffu+VITTUxaridKng7UPfu3fPNjXTue083Z84c3X///Xr11VfVoUMHhYWF5VvfrFkziqYAAADlQe5sSu5c4cLoY489poceekgXX3yxmjdvzlPpUWpeQUE5/9Gioc7UC9bput5KqWvIJy5FHeokSJJGx6xSr0C7in/ie7DLYwVQvEivnH+HD0dt1cNRW6XWhW/3bZqPFhzuqvUH4mRPCFbwvpwLadX2ZStkb4r05y6Kp6jU9uzZo8DAQMXExJRrvbt599139corryglJUU//PBDgfUDBgygMAoAAIByMSN3rnBh9KWXXtI777yjYcOGVbQpVBLe4eFS3VpKqR+q5Nicr1hqbSmzdqZq1krSBVH7NCxyteL9c79+xRU9AVQmvQLt6lV/hVS/6G3WZNj13vHOWne0rhIPhUuS/A76KeigFLrfruA9ydK+Q8pOSjIhYjhVFbzqfa5nnnlGzZs318SJE8u13p0cPHhQY8eO1a233qobb7xRderUKfBUeh+fCqeaAAAAVRO5sym5c4Wz1czMTPXr16+izcBN+dSpLSM851b0lMYRyqjmpfTqNqXEGcqOsCswPOfpYK1iEnVZ5DZ1Cdqplr5BpWnZhVED8GTx/j6Kr71Oqr1Oalv0dluzckaW/pLaSN8dP09bDtdUWlKgvE/6KDghZyRqwAlD/qcdCt5xUrakM7IfOGjGR0BRSO5KlJWVJW9vb6vDKJUtW7aodevWeuGFF6wOBQAAoPIhdy6RM3LnClenBgwYoF9++UVXXHFFRZtCOfhER8mIipBy53U1cr7pmTVDlRmac3rtgTalxHjl7ZNRXbKHGnL4ORQQkypD0vm190uSgn0y1St8q6J8Tqt7gCGpuLk7C1OaoigAVFzuRZiWYYc0LuyQ1LB0+61Iz/l5edReTd8mtVSK3U8bDsbKJin9cE6bXple8km2yf9Ezj7Bhx3ySftfJuGXbJdfYnK+n722oyclSfYjRyv+4VCppKWlKSMjQ1LOBeW0tDQlnTPi2TAMHTx4UCtXrtTll19uQZRl16BBA3l5eZW8IQAAAFBKZufOTnkq/eTJk3Xs2DFdeeWVql69ekWbxDkeXrhbNartko93htWhAIDHy7noI0mnNCTkl5z/rO/6fu3Z/powyDPmjXQdm2TYSt6sLO15gClTpmjWrFn5lk2dOrXQbWvVqqVLL73UjLAqrEmTJmrXrp0++eQTDRo0yOpwAAAAKhly51yuzJ0rXBiNjo6WJL355puSJD8/vwJPpU9PT69oNwAAAB5pwIABio2NlSR9+umnioqKUufOnfNt4+3trdq1a6tv374KDw+3IMqy2759uxo0aKB77723yKfSN23aVFdffbVFEQIAAMDTmJ07V7gwesstt1S0CZfIzs5WdnZ2gYcAAAAAa9iMnJcz2/MEvXr1Uq9evSTl3H4eExOj7t27WxuUE2zdulX33XefJOnvv//Wt99+W2CbAQMGWFIYzcjIKPRivVn7AwAAVBS5szm5c4ULo+424f7vv/+uO+64Q7/88otsNptatGihp59+2mPm6wIAoNJiAnldeOGFCgwMLHL9nj17FBgYqJgY9592oW/fvjp58mSx2/j6+poUTY758+friSeeUEJCgmw2m/r06aMXX3xRcXFxpuwPAADgNOTOpuTOLp8x/5dffnF1F3l27typHj16KCYmRseOHVNycrJ69+6tfv36adWqVabFAQAAUJhnnnlGH374YbnXuxNfX1+Fh4cX+woODjYtnnnz5unGG2/U1KlTlZaWpt27dysxMVE9evRQSkqKy/cHAACAc5mRO1d4xOiePXuKXLd//34NGDBAx48fr2g3pfLII48oOztbc+fOVbVq1SRJTz75pJYtW6apU6eaWqQFAAAoq6ysLHl7e1sdhlMsX75cf/75pyZMmODyvrKysnTvvffqqquu0k033SQpZzL+N954Q+edd55mzZpV5KT9ztjfk/BQT/dnz/bXsdOpnCc3x3nyDJwnz8BDSlFezsidK1wYbdCgQbHrW7RoUdEuSsUwDC1btkyXXHJJXlFUkmw2m/r376+ZM2cqMTFRNWvWNCUeAAAASUpLS1NGRs4fY5mZmUpLS1NSUlK+bQzD0MGDB7Vy5UqPmf5nw4YNeumll4pcv3btWnXq1MmUwuiqVat07Ngx9e/fP9/yFi1aqEmTJvr444+LLWxWdH8AAAA4h9m5c4ULo6+++mqBZVlZWdq6dasWLFigRx55pKJdlMr+/ft16tQpNW3atMC6Zs2aSZK2bNlCYRQAAItU1Qnkp0yZolmzZuVbVlSRrVatWrr00kvNCKvCjhw5oq+++qrA8jNnziglJUXVqlXT9ddfb0osW7ZskaQi88AffvjBpfsDAAA4G7nz/7gyd3bpU+kvvvhivfLKKxo8eHBFuylR7uT/YWFhBdblLivuAQFHjhzR0aNH8y3bsWOHJMnH30e+XhU+VOXiG+CjbIeP7Nl+lvRfFdmz/TjmJuOYm49jbj57tp+8/bzlG2DN7xMfh4/EHWSWGDBggGJjYyVJn376qaKiotS5c+d823h7e6t27drq27evwsPDLYiy7Hr37q3ExMRC161Zs0b/+c9/5Odnzs+YkvLAlJQUZWZmFhlPRfd31zzyXOSVnoHf0Z6B8+QZOE+eweo8uTDkztYxO3d26beuX79+Gj9+vCu7yGOz2STlDKc9V+6y3G0KM3v2bD388MOFrotpEqmIwEgnRFl2Pn7eSk7NkGSTt1eWJTFUNdkOXyWn1hTH3Dwcc/NxzM2X7fBVZL1w2STZM7NN7/9kmo+0xfRu8zNsOS9ntucBevXqpV69eknKmYIoJiZG3bt3tzYoF4uPj9ftt9+upUuXqmvXri7vrzR5oJdX0c8crej+7ppHnou80jPwO9ozcJ48A+fJM1idJxeG3Nk6ZufOLi2Mpqenq3r16q7sIk+NGjUkFT4q9MSJE5KkqKioIvcfP368hgwZkm/Zjh07NHDgQB3eflypXnYnRlt6vgE+Cg1KVWToHvl4Z1oSQ1WTczXR4JibiGNuPo65+ezZfjq+t54ObTuirHTzf6ckO06Z3mcBxr8vZ7bnYa699lqrQzBNbGxs3i3qrlZSHhgeHi4fn6LT3oru76555LnIKz0Dv6M9A+fJM3CePIPVeXJhyJ3dgxm5s8sKo9nZ2Xr00Uc1cuRIV3WRT61atRQdHa1t27YVWLdt2zZ5eXmpVatWRe4fHR2t6OjoQtfZM+zKsln3j9Pbyy4f70yeomcijrn5OObm45ibLzszW1npdksSPrvhHklmVZOSkqK0tDSFhIQoICAg731xcrf1dL/99pvatWtnSl9t27aVlJPz9ejRI9+6bdu25a131f7unEeei5/9noHz5Bk4T56B8+QZrMyTC0PubA0rcucKF0YbN25c6PLExESlpKSofv36evfdd/Oty51zydkGDx6sN954Q4cPH1ZMTIyknCdYLV26VJdddpkiI93jNiYAAKosD7xSXRF33323Zs2apZdfflkTJ07Me1+c3G3d3f79+7VixYoCy+12uzZs2KC3335bM2fO1Ntvv523Li4uTpdcconTY4mPj1dcXJyWLFmiCRMm5C1fs2aN9u3bp3vuuSff9snJyTIMQ9WqVSvX/gAAAKYgd3Z57lzhwqhZIwFK44EHHtAnn3yia6+9VrNmzVJQUJAeeughHT9+XDNnzrQ6PAAAUMUMHjxYjRs31sUXX5zvfXFyt3V3v/32W4l3Bo0dOzbf+wEDBrikMOrl5aWXXnpJV199te677z5NmDBB+/fv15gxY9ShQwfdeOON+bbv3LmzEhMTdezYsXLtDwAAAOezIneucGF0yZIlFW3CaWrVqqXVq1frwQcfVJ8+fWS329WxY0f9/PPPatOmjdXhAQBQpdmMnJcz23N33bt3zzdZ/LnvPdmll16qzZs3l2mf3BGarjBw4EB99dVXeuqppzR//nyFhISoX79+mj59eoGnyVerVq3AbVll2d+TTbu+gQ5sCXKbWxVRkG+Aj+q0iuE8uTnOk2fgPHmGnPNkdRTuh9zZnNzZpQ9fskK9evW0aNEiq8MAAADnYgL5SiU0NLTY+dutcPnll+vyyy8vcbtffvmlQvsDAAC4HLmzKcpcGM3MzCzXVfOsrCz5+vqWeT8AAIDKKjk5WdnZ2fmWBQUFVaoRigAAAIAzuCJ3LnNhtFmzZnrwwQc1YsSIUnWckZGhd955R4888oj27NlTnhirvOJuefKJjpIRFSHZbDkLjJxLAJk1Q5UZmnN67YE2pcR45e2TUV2yhxpy+DkUEJMqQ9L5tfdLkoJ9MtUrfKuifE6rewCXEwBUPivSc35eHrVX07dJLZVi99OGg7GySUo/HCRJ8sr0kk+yTf4ncvYJPuyQT9r/fib6Jdvll5ic72ev7ehJSZL9yNFC++UWIXHV+18rVqzQI488ol9//VUpKSkF1rvrw5c2b96sU6dOqWvXrmXa78iRI1q5cqUGDx7sosgAAAAqIXJnSa7PnctcGB0/frzuvPNOTZkyRddcc4169uypDh06qFatWgoMDFRqaqoSExP122+/afny5frggw/kcDh0//33lztIFM1+5KhUyB/h3lulwLPeh5bQzrGz/n+e6kuSnpTkU6e2jPAQSVJK4whlVPNSenWbUuIMZUfYFRieMz9Xq5hEXRa5TV2Cdqqlb1BFPhIAlMrWrFRJ0i+pjfTd8fO05XBNpSUFyvukj4ITcgqWAScM+Z92KHjHSdmSzsh+4OA5raRISlFdnSxz/9klbwIUsH79el122WVq3ry5brrpJtWoUUNeXl75tunSpYtF0RXv1KlT6tmzpy655BKNHTtWAwYMUEBAQJHb//bbb1q4cKHefPNNjRw5ksIoAAAAysSM3LnMhdEpU6Zo9OjRmjVrlubOnavXXnstb523t3e+Ia2xsbGaPHmyxo8frxo1alQoUFjDfuCgdCDnvwO2SgGSwgrZLknSEkVriaLlHR4u1a2llPqhSo7N+Yql1pYya2eqZq0kXRC1T8MiVyvev9JNcQvACdZk2PXe8c5ad7SuEg+FS5L8Dvop6KAUut+u4D3J0r5Dyk5KOmuvY4rNu8RTEEVM91AVJ5A/10cffaTLLrtMX375ZYGkzt117dpVmzdv1t13361hw4YpICBA559/vlq3bq3IyEj5+fnp5MmT2rVrl3799VclJiaqSZMmmjdvnoYOHWp1+AAAAB6F3Nmc3LlclamoqChNnz5dDz74oDZs2KBVq1Zp3759SkpKUnh4uOrVq6eLL75Y7du397ikHxWXnZQkJSUpYFNOIfVcf0mapg7yCvp3ZGmLhjpTL1in63orpa4hn7gUdaiTIEkaHbNKvQJ5eiBQWXyb5qMFh7tq/YE42ROCFbwvZ2RntX3ZCtmbIv25S47UVEmZCtWOQke7U+SEJ/P19VW3bt08Nj9q1qyZli5dqp07d+rNN9/Ud999p3nz5slu/9/v6vr166t3794aNmyYevXqJVvulBMAAABAGZiRO1doyJ63t7cuuOACXXDBBc6KB1VITvFD0votClovnX0Dfu64r2fUUs8FBUnNG+hU82pKjrMppX5OWaROw6PqWfMf3Rb5qyK9gk2NHUB+xx05c728dLyTlic21YFdUQre463QBENhf53O2eiv3f/+uz+peoXcuu4wMV5YxLDlvJzZnocZNGiQpk6dqnvvvdejC4aNGjXSY489pscee0zZ2dk6fvy4MjMzVaNGjWJvrwcAAEApkTubkjt75nAFAADgmQwnvjxQu3btNGrUKI0ZM0arV6/WsWPHdObMmXyvrKwsq8MsE29vb0VHRys2NpaiKAAAgDORO7s8d2aSR7g9R2qqtGGrQjcUfIjUGvlojbrIp3FDJbeKUlIjb0lSSl2HQuuf0qVx/+juqJWK9g4xP3CgEjmSfUYzjnaTJH2f0FTJe8IUvM9L4TuzFbrlqOw7duVtG6RdaqL/vWckKJBfq1at9OqrrxY5Uby7PpUeAAAAMJurc2cKo6gU7Dt2KXDHLgWes3yLpJG6KK9wKklJjbx1pr5DkQ1PqHedP3Vf1HoF2vxNjxlwJ2lGhp442kFfHWghSTq+q7pC9pxb+MyZxiJGfyrmrH2ZBRil5uQJ5D3xyvc///yjiy66SPXq1dOkSZMKfbJmfHy8RdEBAADAbZA7m5I7UxhFlZBbOJWUr3j6q7w1UJ3k3bq5TjcLlySlNfZW7eZ+yqy9V/1i12tS+D7zAwZc4OWkuvrkQDvt3h0jf5tNrY+F6vgfKQrYelLZm/+SJFXXP//+//9Q+ASc591331XXrl313//+12MfwAQAAACYwYzcmcIoICl7818K3pzz3+EBPqrdKkYHthzW5+kR+sInWuqQM4ouqWmwTjewKb1BpprUS9TY2FUaEnLKwsiB//nwTJjm7e+q7XtrSpICdvup2m5D4f+kSOv/lGHPkq/2qqn2yjfAR9VbxShty2FlpVP6hEmcPb+RB171djgc6t69O0VRAAAAFI/c2ZTcucKF0ZUrV6pbt27OiAVwS4Y9S1q7SZIUtlYKO2vdPNXX/KAgSZKjXVOdbBao0w1syqybqSZ1cwqnkiiewinyCp/7aspvn58kqdpuQxF/p8lr4z//PvF9v5pof779PPD3Hyopm5NvB3LqrUUmufrqq3Xvvffq3nvvtToUAAAAuDFyZ3Ny5woXRi+55BI1adJEN9xwg66//nrVqlXLGXEBHiOnGCXpl42K+EWKOGvdPNWXJM0PCpLRurFONwrWqQY2pTbIUmzccUlSvzqbNTb8D0V6BZsbONzKcUeK5iW11ecHWmt/QqSCdvsqbHfOb65qO1Nk27yjyMKnxAOOAE/RqlUrDR8+XDfffLPGjh2rJk2aFHiSu6+vr7y9vS2KsPQ2bdqk119/XcOHDy90MvxNmzZp7dq1GjdunAXRAQAAwNOZkTtXuDA6f/58zZ49W/fee68eeOAB9enTRzfeeKP69u0rHx/u1AcAAP/idiBNnjxZs2bNkiS9/vrrhW7jKU+l37Vrl2bNmqU33nhDCxcu1DXXXFNg/RdffGFqYTQtLU0fffSRtm7dqtDQUPXp00ft2rUr1b4zZ87UgQMHCiyvX7++Jk+e7NxAAQAASkLubEruXOHK5ZgxYzRmzBj99ttvmj17tt5//3199tlnqlmzpkaNGqUbbrhBzZo1q2g3gEdzpKZKazcpdK0Ues665QrWcnWRT704pbaoqdMNfHUmTsqumyZJahGbqB5Rf+v6sC2MKvVAxx0pWniqlSTph6PN9Of+mvLeF6iQBKna7iwF/ZkoSbLvTZAkBWmXmmpXvjac/fsQgHX69OmjGjVqFLtNp06dTIqm4jp37qyMjAwNHTpUu3fv1t13321ZLAcPHlSPHj3k5eWlESNGKCEhQZ06ddL06dN13333lbj/O++8o7S0NN166635lnM3FAAAgDXMyJ2dNqSzY8eOmj9/vp599lktWLBAr732mp5++mk9/fTT6tq1q8aNG6ehQ4fKz8/PWV0ClYp9b4L89iaohqSz/9lnSvpa1fS1usinTm1lNqmp0/X8JUkptW1Kq+WQf+0Uta55SJdFbtMVwTlPFa/rc24JFs60z56sr1Oa6rvj52lzYs4fzRkHgxV4yEvBBw1V25shv+2Jsh84eNZeh9RIh/K1w2OPUKVw1VvNmzdXtWrV1LZtW4WGev7P6ejoaL3zzjsaOnSo7rnnnrxRpFbcNTRu3DidOXNG27ZtU1hYzozgLVu21KRJk9S9e/dCb/c/V1xcHKNDAQCAeyB3NiV3dnrWGh4erhYtWqhp06b6559/5Ovrq/Xr12vVqlV6+OGHtWTJErVv397Z3QJVgv3AQXkdOKjwf9+Hn7UuSdISRWuJoiVJPtFRctSKUmq9ECXH+Si9hpQVmvOT0CsuVXVrnFCNgFQNiPpdTfwOq0MVvmixPjNT2zNjtOxozs+mY+lB2nesuhwJQfJNtingmBSakFPCDNp7Rl6Hjsp+5Oi/ex9TnI4V2i5FTyA/m5w8gbzzmjLNiy++qJMnT2rRokVWh+I0wcHBWrp0qSZPnqxXXnlF+/bt0wcffGBqDHv37tWXX36p+++/P68oKuUUS++55x7Nnj27VIVRAAAAd0HubE7u7LTC6PHjxzV//ny99tpr2rVrl2JjY/XII49o3LhxCgoK0qeffqqnn35aN910k9atW+esbgEUwX7kqHTkqAL+kAKK2OaEpDdVV1LdvGU+9evJCPZXaoNw2bINHW3vqy0TXzUjZJdq9cqtivo9S4Z3zq+DoN1JsqVkyL5n71lb5TwQy0vHVV8JhbbjEA86AlB+DRs21JEjR6wOw+m8vb318ssvq2HDhvq///u/vLuFzLJq1SpJBW+l8vf3V/v27fXTTz+Vqp39+/dr2rRpSk9PV/369dW/f3/FxsY6PV4AAACUzIzcucKF0TVr1mj27Nn64IMPlJGRoZ49e2rmzJkaMGBAvqdCjRgxQpdddpni4uIq2iUAF8otFPpvzXlfb3Mdyf2fAVKieov2yr7/fw/VyLYwFgBV1/Dhw3XVVVfp6NGjioqKsjocp7vjjjtUv359XXfddZo8ebL69etX5jaefPJJHT58uMTt6tatqzvvvFOSlJCQczGrdu3aBbarXbu2fv75ZxmGIZut6LESXl5eio2NlcORc/lr9uzZmjx5sl588UXdcsstxcZy5MgRHT16NN+yHTt2SJJ8/H3k6+UeDyT1DfCRt5+3fAPcIx4UjvPkGThPnoHz5Bnc8Tz5OHykDKujgBm5c4W/dZ07d1ZYWJhuuukmjR8/Xs2bNy9y25o1a+rCCy+saJcAzJSWbnUEzlFZPgcAj3bgwAFdffXV6ty5s66++mo1a9Ys363fktS+fXs1atTIoghLr06dOoXenj5o0CCtWLFCY8aMUXR0dJnbXbhwof7+++8St+vQoUNeYTQtLeeBhf7+/gW28/f3l2EYysjIUEBAUfdQSIsXL1aTJk3y3j/++OMaOnSoxo8fr/bt2xebw86ePVsPP/xwoetimkQqIjCyxM9jBh8/b1WvFy6bJHsmlwjdFefJM3CePAPnyTO443k6meYjbbE6CpiRO1e4MPraa69pxIgRCg4u3dOyc291AuAZHKmpVofgFJXlcwAejQnkNW/ePM2aNUuSNHPmzEK3efnllzVxovsP1b/gggt0wQUXFLquU6dO2rp1a7nave+++3TixIkSt4uJicn779w8NLdAera0tDR5e3sXWxSVlK8oKkk+Pj56/PHH9dFHH+ndd98ttjA6fvx4DRkyJN+yHTt2aODAgTq8/bhSvdxj1mnfAB8Zkg5tO6KsdPeICQVxnjwD58kzcJ48gzuep2THKatDIHeWOblzhQujN998c0WbAAAAqBKmTp2q0aNHF7tNvXr1zAnGTY0aNarM+zRo0EBSzhyh584zmpCQkLe+rOrXry9JSkxMLHa76OjoIkfH2jPsyrK5xx95kpSdma2sdLvb/OGJwnGePAPnyTNwnjyDu50nu+EecVR1ZuTO7jOBAwD3lO0etzJUWGX5HIAHsxlOfrKmB171rlu3rurWrVvyhiiTbt26ycvLS6tWrdLVV1+dtzw5OVkbN27UyJEjy9Xun3/+KUnMkQ8AAExH7mxO7uzl0tYBeDxHZqbVIThFZfkcgEczXPDyUF9++aVGjBihLl266IMPPpAkrV27limHyikmJkZDhw7VggULtH///rzlM2fOlN1u12233ZZv+xkzZuiBBx7Ie//XX39p27Zt+bZJTk7WnXfeKV9fX40ZM8a1HwAAAOBc5M55XJk7M2IUQIku2nS1fm7zsdVhlNtFm65WiHZaHQYASMp5cvsLL7yghg0bKj09XUeOHJEkRUREaPDgwdq0aZPFEXqmWbNmqX///urQoYOuuuoq7d+/XytWrNC8efPUunXrfNu+9dZbSkxM1GOPPSZJcjgcGjlypPz8/NS8eXOlp6drxYoVys7O1pIlS9SyZUsrPhIAAECV5+rcmcIogBIdOlBdamN1FOV36EB1NaEwCliPCeS1Zs0avfrqq/rss8/Ur1+/fBPFN23aVIGBgfr1118LzJOJkoWHh2vlypX66aeftG3bNl1yySV68803VbNmzQLb3nPPPUpJScl7f95552n9+vXasGGDtmzZotTUVN1www3q1q1boU+6BwAAcDlyZ1NyZwqjAEoU9ruvdKXVUZRf2O++VocAAJKkr776SmPHjlW/fv0kSTabLd/6pk2basuWLRRGy8lms6lbt27q1q1bsduNGDGi0OXnn3++zj//fFeEBgAAgDIyI3emMAqgRP6nPPDS0lk8PX6gsmACeen06dOqU6dO3vtzk7uMjIwCywAAAFD1kDubkzvz8CUAAGCeKj55fP369bVixYq892cnchkZGVq9erWaNGliQWQAAABwO+TOLs+dKYwCKJH/qWyrQ6gQT48fQOVx9dVXa8WKFbrnnnt05syZvOWnT5/WjTfeKD8/P3Xu3NnCCAEAAAD3YEbuzK30AEoUmJhmdQgVEpiY5qkXyIBKhduBpNjYWL366qu66aab9Mwzzyg4OFiBgYG688475e/vr6+++kre3t5WhwkAAACLkTubkztTGAVQIq+UDKtDqBCvlAwxZhSAu7jhhhvUtm1bvfbaa9qyZYu8vLw0ZMgQ3X777WrcuLHV4QEAAABuw9W5M4VRACWypWVaHUKFeHr8QKXh7PmNPOyq948//qiff/5Zvr6+6tWrl+bOnWt1SAAAAHBX5M6m5M4URgGULCXV6ggqxtPjB+DxJk6cqFmzZuW9t9lsevHFFzVp0iQLowIAAADcj5m5M4VRACVyJJ8peSM35unxA5WGG171Tk9P1z///KOAgAA1adIk35MuneW3337TrFmzNGrUKA0aNEiZmZmaO3eupkyZouHDhysyMtLpfcJ6GRk509Ck6ozbjNDwcfjoZJqPkh2nZDfsVoeDInCePAPnyTNwnjyDO56nVOX8DZn7+9wS5M6m5M4URgEAgDmcPIF8RZK7jIwM3XfffZo7d67i4uLk5+enlJQUvfDCC+rTp4/zYpT07bffqk+fPlq4cGHeskGDBqlly5b66aefNHDgQKf2B/eQkJAgSdqk1RZHcpYMSVusDgIl4jx5Bs6TZ+A8eQY3Pk8JCQk6//zzremc3DlvmStzZwqjAEpkZGZZHUKFeHr8AJzLMAwNHjxYO3bs0G+//aamTZtKkvbu3atvv/3W6f0dPnxY3bt3z7fM19dXXbt2VWJiotP7g3u45JJLtHTpUsXFxcnf39/qcCRJO3bs0MCBA7V06VIe9OXGOE+egfPkGThPnsEdz1NGRoYSEhJ0ySWXWB2K5Sp77kxhFECJDHuW7jjUQZL0fK31FkdTNncc6iDDTmEUcAtucjvQO++8o88//1zr16/PS+wkqV69eho7dqyTgvsfu92uwMDAAsuDgoJkt7vH7WJwvvDwcA0YMMDqMArVuHFjtWzZ0uowUALOk2fgPHkGzpNncLfzZNlI0Vzkzvm4KnemMAqgVJat+bcwOsizCqPL1nRQE621OgwAbuSNN95Qy5Ytdf755+vAgQM6cOCAatWqpbi4OJf1eeDAAW3cuDHfsmPHjhW6PDY2VjVq1HBZLAAAAEBpVfbcmcIogFIJ+8vb6hDKxVPjBiotFzyEZseOHQWWRUVFKTo6utDtf/31V11wwQW67LLLtH79esXFxenvv/9Whw4d9NZbb6lRo0ZOj/Gpp57SU089VeS6s7388suaOHGi02MAAACAhyF3LnTd2SqaO1MYBVAqofuzrQ6hXDw1bqAysjl5AvnctgqbgH3atGmaPn16geUpKSlKTU3Vjz/+qKuuukoHDx5UYGCgdu7cqR49eqh3797asmWLU+eE7N+/v2rWrFnq7ePj453WNwAAADwTuXPpVDR3pjAKoFQCjmVaHUK5eGrcAEqvsIn6o6KiCt3W19c3779ffPHFvPmLGjVqpHvuuUcTJkzQ559/rv/85z9Oi++KK67QFVdc4bT2gPKKiorStGnTivz3AffAefIMnCfPwHnyDJwnc5E750dhFAAAmMNFE8iXZaJ+Pz8/Va9eXVlZWapfv36+dW3btpUk/fPPP04MEnAf0dHRhY4GgXvhPHkGzpNn4Dx5Bs5TEcidTeFldQAAPIPPyVT5nEy1Oowy88SYAbhWp06dlJaWVuCplqdOnZIkhYaGWhEWAAAA4HYqe+5MYRRAqdhOp8h2OsXqMMrME2MGKqvceZKc+SqPG264QXa7XZ9++mm+5R9//LG8vLx0+eWXO+HTAgAAAOVH7mwObqUHUCrGGc8sMHpq3ECl5KLbgcpqyJAhGjp0qG644QYlJCSoadOm+vLLLzV//nw9+uijatq0qRODBAAAAMqB3NkUFEYBlIqnFhg9NW4ArvXuu+/qnXfe0dKlS7Vs2TLFxcXp22+/1aWXXmp1aAAAAIBbqcy5M4VRAKXiyMx5uvvcU7U0LuyQxdGUztxTtfLiBuAG3OSqtyTZbDaNGDFCI0aMcF48gId7+eWX9eOPP6pjx4665557rA4H/8rOztbXX3+tn376SQcOHFBcXJx69+6tiy++2OrQqqSMjAwtWLBAa9askc1m08UXX6yRI0fKx4c/rd2F3W7XF198oV9++UWHDh1SvXr11LdvX8XHx1sdGorx+OOP6/fff1ePHj00YcIEq8NxD+TOpmCOUQBlMuPrq6wOodQ8KVYAAKz0yy+/6K677tLHH3+sVatWWR0O/pWcnKz69evruuuuk8Ph0GWXXabU1FRddtllectgntOnT6tz58565plndOGFF+r888/XtGnTdOmllyo9Pd3q8CDpyJEjqlu3rm688Ub5+Pjosssu08mTJ9WtWzeNGzfO6vBQhC+++ELTp0/XRx99pHXr1lkdDqoYLmsBAABT2P59ObM9ABWXkpKiUaNGafz48XrttdesDgdnycjIUL169fTBBx+odu3akqRRo0apVatWGjt2rHr37q2RI0daHGXVMW3aNG3btk1///236tWrJ0nq2bOnWrdurWeeeUYPPPCAxREiNTVVLVq00Hvvvafo6GhJOf9mmjRposmTJ6tPnz4aNGiQxVHibMeOHdPYsWN11113acaMGVaH41bInc3BiFEAZVLtH8/5seFJsQIAYJU777xT2dnZevzxx60OBecICwvTt99+m1cUzdWvXz9J0sqVK60Iq0qy2+1auHChevfunVcUlaTzzjtP3bp109y5cy2MDrlq1qyp//73v3lF0Vz8m3Fft9xyi6Kjo3X33XdbHQqqKEaMAiiTagl2q0MoNU+KFagynDlPEoAK+/LLLzV37lx99dVXCg4OtjocnMPX11e+vr4Flv/999+SpPDwcJMjqrr++ecfnTx5Uh06dCiwrmPHjlqxYoUOHTqkWrVqWRAdcgUEBBS6nH8z7umtt97S0qVLtXr16kJ/1kHkziagMAqgTAIOp1kdQqkFHE7j9wjgRmxGzsuZ7QGQXn/9dX3zzTel2vbtt9/OKxwcP35cY8eO1ahRo3T55Ze7MkRIeu211/Tdd9+Vatv33nuvyCJBdna27rvvPtlsNg0fPtyZIaIY+/fvlyTFxMQUWJe77MCBAxRG3VBWVpYefPBBeXt7a+jQoVaHg38lJCRo0qRJmjx5si644AKdOXPG6pDcDrmzOSiMAigT7xMpVodQat4nUsSYUQBAZbdhwwZ99NFHpdp2wYIFef996623yuFw6LnnnnNRZDjbb7/9VurzlJ2dXWRhdOrUqfr55581depUtW/f3pkhohiZmZmSVOjT53PPFQ9gck8TJ07Uhg0b9Mgjj6hZs2ZWhwNJhmFo9OjRqlGjhh599FGrw0EVR2EUQNmcTrY6gtLzpFiBqsCQc28H4qo3IEm6+eabddlll5Vq28DAQEnS+++/rw8//FAffvihqlev7srw8K9bb71VvXv3LtW2fn5+hS5/4okn9Nxzz2n48OF68sknnRkeShASEiIp5+E+50pJyRk4EBoaampMKNl9992n119/XePGjePhWG5k1qxZWr58uZYvX573ewmFIHc2BYVRAGXiOOU5xUZPihUAgPJq3759mUcOrlmzRgEBAXr//ff1/vvv5y3PysrS+vXrNXjwYI0YMUIDBw50crRVV4cOHQqdn7K0nn/+ed1///265pprtGjRInl58ZBJMzVp0kSStHfv3gLr9u7dK5vNpkaNGpkdForx6KOP6sknn9SYMWM0Z84c2Ww8k9tdrFmzRtWqVdOsWbM0a9YsSTkj5SVpxYoVGjx4sG699VZdeumlVoaJKoLCKIAycWSka+6pWhoXdsjqUIo091TO3E6ODG5nAtwKV70BtzFmzBh17dq1wPJPP/1UderU0dChQ9WiRQsLIkNhXn31Vd15550aMmSI3nnnHXl7e1sdUpVTp04dNW/eXCtWrCiw7ocfflDnzp3zRpXCes8884weeughXX/99Zo3bx5FUTdz++23F7jwlp6erqVLl6pBgwYaOnQoFxokcmeTUBgFAACmYAJ5wH20bdtWbdu2LbB8xIgRqlmzpgYPHmxBVCjMggULNGHCBA0ePFjvvvtuoXNcwhxTp07VDTfcoA8//FBDhgyRJM2bN0/bt29nrl43MmvWLE2ZMkWjRo3S/PnzGV3thi644AJdcMEF+ZblPnypXr16/A76F7mzOfitCqDMnvrmKo0bMsfqMIr01DdXSZIaa43FkQAAAJTfvn37NHbsWNlsNmVlZRV4onbHjh11zz33WBRd1TNmzBjt3btXI0aM0KxZs2S327V+/Xo9//zz6tevn9XhQdJff/2lSZMmycfHR8nJybrmmmvyre/atasmT55sTXAA3BKFUQBlVn2TlzTE6iiKVn0TV4UBt8TtQIDbe++99xQdHW11GPhXREREvjlgz1WrVi0To4EkTZ8+XRMmTND69etls9nUqVMnRUREWB0W/hUTE6MPPvigyPVxcXEmRoOyCAwM1Icffqj69etbHYr7IHc2BYVRAGUWuj/L6hCK5e7xAQDgrgYNGmR1CDhLaGgot5S6oaioKPXu3dvqMFCIiIgI/s14KG9vb84dLEFhFECZ+R9JsTqEYuXG57A4DgAFMbcRAAAAUDrkzq5HYRRAmXkdP211CMXKjY/CKAAAAAAAKAqFUQBlZpw+Y3UIxXL3+IAqi3mSAAAAgNIhdzYFhVEAAGAKm+Hc24G4tQgAAACVFbmzOSiMAiiz7FPufSu9u8cHAAAAAACs52V1AAA8kOFQ05WjrI6iUE1XjpIMR84LgHsxXPACAAAAKiNyZ1NQGAVQLsE/B1sdQqHcNS4AAAAAAOBeuJUeQLmE77JbHUKh3DUuAGICeQAAAKC0yJ1NQWEUQLn4H06zOoRC+R9O4+c94KaYQB4AAAAoHXJnc3ArPYBy8T6RbHUIhXLXuAAAAOD+DMNQ586ddfvtt1saQ9u2bXXPPfdYFgMAVBUURgEAgHmYPB4A4Mbee+89/fHHH7r33nsti8Fms+mRRx7RCy+8oN27d1sWBwA3QO7schRGAZSLkXTK6hAK5a5xAQAAwP09+eSTGjJkiGrWrGlpHFdddZWio6P13HPPWRoHAFR2FEYBlEv2SfcsQLprXAAkm2E4/QUAgLOsWrVKW7Zs0ciRI60ORTabTcOHD9eiRYuUmppqdTgALEDubA4KowDKx3Co6cpRVkeRT9OVoyTDYXUYAAAAsMB3330nb29vTZ06Nd/yzz//XF5eXpo2bVqx+3/22Wfy9fVV165dC6yz2WyFzvl52WWXqWPHjvmWxcbGasSIEfrtt9/UpUsXBQUFqU2bNlq5cqUk6ddff9VFF12kwMBANWrUSB9//HGh8fTs2VOnT5/Wjz/+WGzcAIDyozAKoNyCfw62OoR83C0eAOdw5hxJzJUEADjHZZddpmnTpmnmzJlaunSpJGn37t0aNWpU3rrirFq1Sq1atVJAQECFYzl06JCeeuopvfnmm0pISFC7du3Ur18/rVmzRo899pjeeOMNHThwQN26ddOwYcO0f//+Am106tRJkvIKqgCqGHJnU1AYBVBu4bvsVoeQj7vFAyA/m+H8FwAAZ3vwwQfVu3dvjR49Wlu3btXgwYMVHBysd999V15exf/5u2/fPtWqVcspcaxdu1Zz5sxRs2bNFBkZqZkzZ+rMmTMaMGCA3njjDTVv3lzVq1fXzJkzZbfbtWjRogJthIeHKyAgQHv37nVKTAA8C7mzOXysDgCA5wpIdK/5jgISU8WN9AAAAFWXzWbT22+/rfPPP18dO3ZUdna2fvzxR9WoUaPEfZOSkhQaGuqUODp16qTIyMi89zExMYqIiFCzZs0UFRWVt7xGjRqqUaOGdu3aVWg71apVU1JSklNiAgAUxIhRAABgDm4HAgCYIDIyUgMHDlR6erouueQSde7cuVT7hYeH6/Tp006JobCRp6GhoUUuL6r4efr0aUVERDglJgAehtzZFJWyMGoYho4cOSKHg7FjgCt5HU+2OoR83C0eAAAAmO+bb77RK6+8ogsvvFDfffed3njjjVLtV69ePSUmJpapr6ysrEKX22y2Mi0vTFJSktLT01WvXr0yxQQAKL1KVRj9+OOPdeWVVyo0NFStWrVScHCwLr/8cm3YsMHq0IBKyUg6ZXUI+bhbPADyY54kAICrJSQk6LrrrlPXrl21atUqDRs2TBMnTtQff/xR4r5du3bVli1blJ6eXuj6cx+QZLfb9c8//zgl7sL8+uuvkqSLL77YZX0AcF/kzuaoVIXR//znP4qKitKff/6pI0eOaO/evbLZbOratas2bdpkdXhApZPtZvMduVs8AArBrUAAABfJysrSNddcIx8fHy1evFg+Pj6aO3euGjRooMGDB5d4m3z//v2VlZWlVatWFbp+yZIl+uijj5SSkqKDBw9q0qRJSkxM1LFjx4osplbE8uXLVa1aNV1yySVObxuAhyB3drlKVRh9+eWXtWjRIsXFxUmSoqOj9cYbbygtLU2zZ8+2ODqgcmr46TirQ5DkPnEAAADAGnfddZfWrVunxYsXq2bNmpKk4OBgLVmyRIcOHdKYMWOK3f+iiy5S69at9dZbbxW6/pprrtGbb76p2NhYdejQQdnZ2Zo/f76Sk5PVvn17p34WwzD07rvvatSoUQoKCnJq2wCA/6lUT6WfOHFigWU1atSQzWYr81wxAEqn+u8+0lVWR/FvHADcm7Nv4eHKNwDgLC+99JJeeumlAsvPO+88nTlzplRt3Hfffbrhhhs0Y8aMvOJqrtq1a2vRokUF9jm34HruLfe59uzZU+jyHTt2FFj26aef6siRI7rzzjtLFTeASojc2RRuWUk4efKkTp0q3VyBcXFx8vb2LnL94sWLZRiG2rVr56ToAJwtdG/hE86bzV3iAAAAgOcaOnSoXnzxRT3xxBOFFlnNYBiGpk2bpsmTJ6tBgwaWxAAAVYVbFkZnzJihGTNmlGrbhIQExcbGFrpu//79mjJlimrUqFHoaNKzHTlyREePHs23LPfKnY+/j3y9rDlUvgE+8vbzlm+AW56qSoljXjaGr032bP8KtWHP9lO2w0f2bL9yt+Hra+OclQHfc/NZfcx9HD5ShiVd/4+z5zfiqjcAwAVWr15taf82m00bN260NAYAboDc2RRu+RdxRESE6tWrV6ptfXwK/whJSUnq16+fTp06pS+++EI1atQotp3Zs2fr4YcfLnRdTJNIRQRGlioeZ/Px81b1euGySbJnZlsSQ1XDMS8bW4C3jp1uWKE2sh2+Sk6tKckmb6/yjfxsGOAto1VMheKoSviem8/qY34yzUfaYnq3+Tj7aZg8WRMAAAD/3969B1tVlo8Dfw4cLl8TBLkrDQHHTDHFS9REWZakWSaZaOYcr0WMl9KycRynsGm6oNRYWYKoTTFljfBVswv0m7wkCaaGCAkZIHgiFeV+Pefss9fvD5JvxMUDrL3WPmt/PjNrRtba+3kf33PCp2e9611FpXbORlU2Rm+44Ya44YYbDvj7mzZtijPPPDOef/75uO++++L0009/0+9ceeWVMW7cuF3OLV26NMaOHRuv/mNNbO1UOuB8DkaX7vWRRMTLz6+O1u355FBrzPn+qV/XOfr2XH5QMXasFE2iT48VUd+55YBivPLXhiitevWg8qglfs+zl/ecbyq3b4saAGB3SaKjAFBEVdkYPRhbt26Nj33sY/HMM8/Er371qzjnnHPa9b3+/ftH//7993it1FyK1rr8GgdtLW3Rur2keZEhc95+5dXror7zwT+f27lTKeo7txxwrJbV66LNz2u/+D3PXp5zXkqq4OecJDuONOMBAEARqZ0z0SnvBNK0ffv2+MQnPhFz586Ne++9N84999y8U4LCa9u0KZ5qbo2nmvN7+dFTza3RtmlTbuMDAAAAHU9hVoy2tbXFuHHj4o9//GPceuutccopp8SKFSt2Xu/WrVsMGjQovwShwD4z45qIiPjHRVNyG39Y5LtJPvDm6iLlfZLSCwUAAFVF7ZyNwjRGN27cGAsXLowhQ4bE7bffHrfffvsu10888cS4//77c8oOiu3wv9X2+AAAAEDHU5jGaO/evXdZIQoAVJnk30ea8QAAoIjUzpkoTGMUyE+PpgN7k3xRxgfap66840gzHgAAFJHaORsao8BB6/rq5tzHb8s1AwAAAKCj0RgFDlrdunzfCJ/3+EA7eRwIAADaR+2cCY1R4KCV166r6fEBAACAjqdT3gkAHV9527Yob9sW0zYMynzsaRsGRXnbtszHBfZfXZL+AQAARaR2zobGKJCayf87tibGBA5UEpGkeHgeCACAwlI7Z0FjFEjN4Yuz/4s2jzEBAACAjs8eowBAJtJ+hMfjQAAAFJXaORtWjAKpObSpuSbGBAAAADo+K0aB1HRZsyWXMdsyHxU4IGlvbeSuNwAARaV2zoQVo0Bq6tZtqokxAQAAgI7PilEgNeW162piTOAApbxPkrveAAAUlto5E1aMAqkpb9sW0zYMymy8aRsGRXnbtszGAw5SkqR/AABAEamdM6ExCqTqlofOKeRYAAAAQLF4lB4AyERdyo8DpfpoEQAAVBG1czasGAVS1evvdYUcCwAAACgWK0aBVPV8qaWQYwEpcacaAADaR+1ccRqjQKq6vbI507HaMhsNOFgeBwIAgPZRO2fDo/RAquo2ZNcYzXIsAAAAoFisGAVSlWzYVMixgBSUkx1HmvEAAKCI1M6ZsGIUSFXbxuyalVmOBQAAABSLFaMAQDaSSHcDeTe9AQAoKrVzJjRGgXQl5TjhLxfGglH3VmyIE/5yYUREDEyer9gYQPpsIA8AAO2jds6GxiiQuuTxXhGjKhwfAAAA4CBojAKpO2xFuUPHByoocasaAADaRe1ccRqjQOr+59XtHTo+AAAAUHwao0Dqury+JZP4pYqOAqTNPkkAANA+audsaIwC6duwqWPHBwAAAApPYxQAyEby7yPNeClobm6OdevWRX19ffTt2zedoAAAcDDUzpnolHcCQPEkmyv7KH2yeUvFxwDSV5ckqR9puOiii2LQoEHxvve9L5V4AABwsNTO2bBiFEhdW4WblpWOD9SOn/3sZzFr1qzo379/3qkAAEBVK2LtbMUokL6kHKcuGluR0KcuGhuRlHccQMdSrsBxEJqamuILX/hCfOtb34p+/fodXDAAAEiT2jkTGqNARbz++KAOFReoLUmSxKWXXhrHHntsXH311XmnAwAAVavItbNH6YGK6LkizV2iKx8XyEJ6exu9Ee9Aff/73485c+bE/Pnzo1Mn94kBAKg2aucsaIwCFfGWV1o7VFwgAxV6s+bSpUt3u9SvX7+97n20ePHiuPHGG+Omm26KY489NsWEAAAgJWrnTGiMAgAd2tixY3c7N3HixLj55pt3O18qlaKxsTEaGhrixhtvrHxyAABQRdTOu9IYBSqi65ptFYvrtUvQQSXJjiPNeBHxwAMPRENDwy6X9rYh/M9//vN45pln4sEHH4w1a9bsPF8qlaKtrS1eeeWVOOSQQ6Jnz57p5QkAAPtL7ZwJjVGgIjpt2FqxuBqjwH9qaGiIESNGtOuz5XI5BgwYEOPHj9/l/Jo1ayJJkhg5cmRcdNFF8d3vfrcSqQIAQK7UzrvSGAUqY/OWjhUXqLi6ZMeRZrz9ddlll8Vll1222/njjjsuSqVSLFmyJIXMAADg4Kids1GsV0kBVSPZUpkVo5WKCwAAANQWK0aBiihvq8weo5WKC2SgQvskpaFv377R1taWWjwAADgoaudMaIwCFZG0tcWnlo2JmcP/X2oxP7VsTCRtq1OLB2SrLomoS3GT4DQfLXr00UfTCwYAAAdJ7ZwNj9IDFTP/uaFVHQ8AAACoXVaMAgDZqOLHgQAAoKqonTNhxShQMYct6VzV8QAAAIDaZcUoUDE9mtLdjDnteEDGkn8facYDAIAiUjtnQmMUqJhu61qrOh6Qrbokoi7FR3jS3EAeAACqido5Gx6lByqm87Z0G5lpxwMAAABqlxWjQMV0Xrsl9XilVCMCmbKBPAAAtI/aORNWjAKVs3VbdccDAAAAapYVowBANpKIKKccDwAAikjtnAmNUaBySik/+J52PCBTdUmS8gbyqjsAAIpJ7ZwNj9IDFVPetLmq4wEAAAC1y4pRoGKS1nRXeKYdD8iYDeQBAKB91M6ZsGIUqJik1FrV8QAAAIDaZcUoUFHHzftMREQses8vDjrOkfG3NFIC8uKuNwAAtI/aORMao0BFbVl7SFXFAQAAAIjQGAUAslL+95FmPAAAKCK1cyY0RoGKOmxhlx3/cFZKcYAOqy6SqEvxEZ668DgQAADFpHbOhsYoUFGdUnqRfFpxAAAAACI0RoEKO2xFOh3NtOIAOUoi5Q3k0wsFAABVRe2cCY1RoLLKKf3tm1YcAAAAgNAYBSqs6/qWqooD5ChJUr7r7YYJAAAFpXbOhMYoUFGdWtpSi+MletDBKe4AAKB91M6Z6JR3AgAAAAAAWbNiFKioupZ0XpqUVhwgR+V/H2nGAwCAIlI7Z0JjFKioui3bqyoOAAAAQITGKACQmSTqUt3byD5JAAAUldo5CxqjQGVtS2mlZ1pxAAAAAEJjFKi0ltbqigPkx5s1AQCgfdTOmdAYBSqrU111xQHyU052HGnGAwCAIlI7Z6JT3gkAAAAAAGTNilGgopLWUlXFAXKURMqPA6UXCgAAqoraORMao0BFJc3NVRUHAAAAIEJjFADIig3kAQCgfdTOmdAYBQAyknJx53kgAAAKS+2cBS9fAgAAAABqjhWjQEV5+RKwUznZcaQZDwAAikjtnAmNUaCiklJrVcUBAAAAiCh4Y/S1116LlStXRo8ePeLoo4/OOx0AqG1JeceRZjwAACgitXMmCtsYbW1tjTPOOCPmz58fo0ePjjlz5uSdEgDUtiRSfrNmeqEAAKCqqJ0zUdiXL918882xZs2a6NWrV96pAAAAAABVppCN0blz58akSZNi6tSp0a1bt7zTAQAidtzxLqd4pHkHHQAAqonaOROFa4xu2bIlLr744rjwwgvjzDPPzDsdAAAAAKAKVeUeo6tWrYqXX365XZ894YQTokuXLjv/fP3118eGDRvitttu268xV69eHa+99tou55YuXRoREfXd6qNLp3ymqkv3+ujctXN06V6VP6pCMueVUWrb++rtUlvXaCvXR6mt614/4+eRLr/n2ct7zuvL9RHNuQz9f5KU71S76w0AQFGpnTNRlf+P+Ic//GFMmjSpXZ9tamqKwYMHR0TErFmzYsqUKXHvvfdGnz599mvMH//4x/H1r399j9cGHNUnev/P/sVLS33XznH4kF5RFxGllrZccqg15rwyrvrkgL1ee2PO1658217n/MjjKpVZbfJ7nr2853zdtvqIRZkPCwAAULWqsjE6ePDgOPnkk9v12a5dd6wwW7t2bVx++eVx9tlnx6c//en9HvPKK6+McePG7XJu6dKlMXbs2Hj1H2tia6fSfsdMQ5fu9ZFExMvPr47W7fnkUGvMefbMefbMefbynvNN5Q2Zj7kbd70BAKB91M6ZqMrG6NVXXx1XX331fn1n6tSpsXr16rjiiivi6aef3nm+VCrF5s2b4+mnn45BgwbFkUceucfv9+/fP/r377/Ha6XmUrTW5dc4aGtpi9btJc2LDJnz7Jnz7Jnz7OU556WkCn7OijsAAGgftXMmqrIxeiD69OkTI0eOjG984xu7nN+wYUM0NzfHhAkT4tJLL93vhisAAAAAUDyFaYyOHz8+xo8fv9v5gQMHRkNDQ8yZMyeHrACAncpJRLmcbjwAACgitXMmOuWdAAAAAABA1gqzYnRvRo4cufOt9QBAnlLeJync9QYAoKjUzlkofGN01qxZeacAAETYQB4AANpL7ZwJj9IDAAAAADWn8CtGAYAqUU7S3fTdBvIAABSV2jkTVowCAAAAADXHilEAIBtJOZKknGo8AAAoJLVzJqwYBQAAAABqjhWjAEA2kkh3byPbJAEAUFRq50xojAIA2UiSHUea8QAAoIjUzpnwKD0AAAAAUHOsGAUAslEuR9SluOl72QbyAAAUlNo5E1aMAgAAAAA1x4pRACAb9kkCAID2UTtnQmMUAMhEkiSRpPgIT6K4AwCgoNTO2fAoPQAAAABQc6wYBQCy4XEgAABoH7VzJqwYBQAAAABqjhWjAEA2yklEpHinuuyuNwAABaV2zoTGKACQjaS840gzHgAAFJHaORMepQcAAAAAao4VowBAJpIkIknxER77xwMAUFRq52xYMQoAAAAA1BwrRgGAbCTliLBPEgAAvCm1cyasGAUAAAAAao4VowBAJpJyEkldmvsk2SgJAIBiUjtnQ2MUAMiGx4EAAKB91M6Z0Bjdh+bm5oiI2BqbI3JqrNeX62PdtvrYVN4QpaSUTxI1xpxnz5xnz5xnL+853xqbI+L//tuWh62xJdX/nm6NLekFAwCAKqJ2zobG6D40NTVFRMRzMTe/JJojYlF+w9ckc549c549c569KpnzpqamOOmkkzIds3fv3tGjR494btMTqcfu0aNH9O7dO/W4AACQB7VztuoSmwzs1fr16+Oxxx6Lt771rdGtW7dccli6dGmMHTs2HnjggWhoaMglh1pjzrNnzrNnzrOX95w3NzdHU1NTfOADH4hevXplPv6//vWvWLduXepxe/fuHUcccUTqcQEAIC9q5+xYMboPvXr1inPOOSfvNCIioqGhIUaMGJF3GjXFnGfPnGfPnGcvzznPeqXofzriiCMUYQAA0A5q5+x0yjsBAAAAAICsaYwCAAAAADVHYxQAAAAAqDkao1WuX79+MXHixOjXr1/eqdQMc549c549c549cw4AAFBdvJUeAAAAAKg5VowCAAAAADVHYxQAAAAAqDkaowAAAABAzdEYBQAAAABqTn3eCXDgyuVyXH311bF69eq45JJL4uyzz847pULasGFDzJw5M+bPnx9btmyJhoaGaGxsjLe+9a15p9bhrVy5Mu65555YtmxZ9OnTJ84///wYPXp03mkV1quvvhr33XdfLFq0KJIkiaOPPjouvfTSOPzww/NOrSasWrUqrrvuuiiXyzF58uR429velndKAAAANc2K0Q7s1ltvjWnTpsXMmTPj73//e97pFNLs2bPjiCOOiMmTJ8fQoUNj9OjRMXfu3DjqqKPi7rvvzju9Dm3OnDkxYsSIePbZZ+PMM8+M7t27xwc/+MG45ZZb8k6tkO68884YPHhw/PznP4/jjz8+TjzxxJgxY0YMGzYsZs+enXd6hZckSVx22WVx//33x8yZM2P9+vV5pwQAAFDz6pIkSfJOgv333HPPxbve9a647rrrYtKkSXHrrbfG9ddfn3dahfPTn/40FixYEJMmTYouXbrsPP/JT34yfve738XKlStj4MCBOWbYMbW2tsbRRx8dgwcPjsceeyzq6uoiIuKb3/xmTJw4MRYsWBAjRozIOctimThxYvTq1SuuvfbanfNdKpVi1KhRsWrVqli1alXU13uIoFJuv/32uOmmm+Izn/lMTJkyJebPnx8jR47MOy0AAICaZsVoB9TS0hKNjY3xiU98IsaOHZt3OoU2duzY+N73vrdLUzQi4uMf/3i0tLTEk08+mVNmHdvDDz8cL774YowfP35nky4i4vOf/3yUy+W45557csyumL70pS/Fddddt8t819fXxxlnnBGrV6+26ryCXnjhhbjhhhvilltuiSOPPDLvdAAAAPg3jdEO6Ktf/Wo0NTXF7bffnncqhXfYYYft8fwbTaRevXplmE1xvNFQPvnkk3c537dv3xgyZEjMmzcvj7QKze9yPkqlUjQ2Nsa73vWuGD9+fN7pAAAA8B88N5mTL37xi7Fq1ao3/dzw4cNj0qRJO/88Z86cmDx5ctx9990xYMCAePHFFyuZZqF87nOfi3Xr1r3p544//vj42te+ttfrK1asiDvuuCOGDh0a733ve9NMsWb885//jIiIAQMG7HZtwIAB7frfBgdv7ty58eCDD8YHP/hBKxkr5Fvf+lYsXLgwFixYsMtqXQAAAPKnMZqT2bNnt+vR1f9cUbd58+a4+OKL4/TTT49LL720gtkV00MPPRSvvvrqm35uXy9F2bx5c3zqU5+Kbdu2xd13373bI/a0T0tLS0TEHve07NKlS2zfvj3rlGrOv/71rzj//PPjkEMOialTp+adTiE988wz8Y1vfCO++c1vxlFHHZV3OgAAAPwXjdGc/OAHP4iNGze+6ecOP/zwnf98/fXXx+rVq+Phhx+uZGqFddddd7Wr4banVYwREdu3b49zzjknnn322fjJT34Sp512Wtop1oxDDz00IiK2bt0aPXv23OXali1bokePHnmkVTNef/31GDNmTKxZsyZ++9vfxtvf/va8Uyqc1tbWaGxsjOOPPz6+/OUv550OAAAAe6AxmpOPfOQj+/2defPmxeGHH77L2+fXrl0bERE/+9nPYt68efHtb3/byqS9+PjHP37A321paYlzzz03Hnnkkbjrrrvi4osvTjGz2vPG7+jKlStj4MCBu1x76aWXYtSoUXmkVRPWrVsXY8aMieXLl8evf/1rDf4K2bBhQyxevDhOPvnkuOCCC3aeX7JkSUREfOUrX4mBAwfG9OnT80oRAACg5mmMdiCTJ0/e7THvf/zjH/HII4/EiSeeGGeffXb06dMnn+QKrFQqxQUXXBCzZs2KO++8My6//PK8U+rwPvzhD0dExKOPPhrvfve7d55fsGBBrFmzJsaMGZNXaoW2cePGOOOMM2LJkiXx4IMPmucK6tmzZ9x33327nZ85c2b87W9/izPOOCMaGhpyyAwAAIA3aIx2IKeffvpu5954e/c73/nOOO+887JOqfDK5XI0NjbGgw8+GFOnTo3PfvazeadUCMcdd1ycddZZ8f3vfz8aGxvjiCOOiFKpFDfddFP0799f87kCtm7dGh/72Mdi4cKF8cADDxzQqnXar2vXrnv8O/mNFaOnn356jBw5MuOsAAAA+E8ao7AP06ZNi1/+8pcxYMCAmD17dsyePXuX65///OetujtA06dPj3HjxsWIESNi9OjRsWTJkiiVSvGb3/wmDjvssLzTK5yJEyfGnDlzYtiwYTFt2rSYNm3abtff+c535pQdAAAAZK8uSZIk7yQ4cGvXro2HH344jj/+eC9QqYAXXnghnnvuub1eP+mkk2LYsGEZZlQ8zz//fCxbtiz69OkTo0aN2uOb6jl48+fPj2XLlu31+qmnnhr9+/fPMKPatGTJkli0aFGMGTPGDQAAAICcaYwCAAAAADWnU94JAAAAAABkTWMUAAAAAKg5GqMAAAAAQM3RGAUAAAAAao7GKAAAAABQczRGAQAAAICaozEKAAAAANQcjVEAAAAAoOZojAIAAAAANUdjFKiYZcuWRbdu3eLxxx/PLYfFixdHly5d4qmnnsotBwAAAKD61CVJkuSdBFBM5557bmzevDn+8Ic/5JpHY2NjLF++PP785z/nmgcAAABQPawYBSpiyZIlcf/998c111yTdypx1VVXxRNPPBGPPfZY3qkAAAAAVUJjFKiIKVOmRN++feOjH/1o3qnEe97znmhoaIgpU6bknQoAAABQJTRGgT268soro2vXrrs9fn755ZdH9+7d4+mnn97n9x966KF4//vfH/X19bucnzFjRtTV1e32/fXr10ddXV185zvf2Xlu3rx5UVdXFw888EDccccdMXTo0Dj00ENj7NixsWbNmoiI+NGPfhTDhg2L7t27x4c+9KF48cUX95jPaaedFr/73e+ira2t3XMAAAAAFJfGKLBHt912W5xwwglx/vnnx+rVqyMi4q677oqf/OQncdttt8Upp5yy1+++/PLLsXz58n1+Zn9Mnz49Xn/99XjqqafiySefjIULF8Yll1wSP/7xj+O1116LJ598MubPnx9NTU1x8cUX7zHGqFGjYuPGjfHss8+mkhMAAADQsWmMAnvUtWvXmDFjRmzfvj0uvPDCePrpp+Oaa66Jiy66KCZMmLDP77700ksRETFo0KBUcmlpaYmvfvWr0bdv3xgxYkRcf/318dvf/jYefvjhuPnmm6Nfv35xzDHHxFe+8pWYM2dOvPDCC7vFeCOXlStXppITAAAA0LFpjAJ7NWTIkJg+fXo88sgj8f73vz+GDx8eU6dOfdPvrV+/PiIievTokUoe/71P6Tve8Y6IiDj11FN3OX/MMcdERMTy5ct3i9GzZ89dcgMAAABqm8YosE8f/vCHY+jQobF9+/a45ppr4i1vecubfqdXr14REbFx48ZUcvjvladvNFz3dn5Pzc83cundu3cqOQEAAAAdm8YosE9f+MIXoqmpKU466aS48cYbY8WKFW/6nSFDhkRExCuvvNLucVpbW/d6ra6ubr/O78nLL7+8S24AAABAbdMYBfZq+vTpceedd8Ytt9wSs2bNikMOOSTGjRsXzc3N+/zewIEDY/jw4ft8c/0///nPXf78/PPPp5Lz3vzlL3+Jnj17xgknnFDRcQAAAICOQWMU2KNFixbFhAkT4rzzzotrr702+vXrF7/61a/i2Wefjeuuu+5Nv3/22WfH448/HqVSaY/Xb7755njuuedi+/bt8de//jWuvfbaiIhYtWpVmv8aOz3yyCNx1llnRefOnSsSHwAAAOhYNEaB3WzatCnOO++8GDx4cNxzzz07z48ePTomTZoUd9xxR/ziF7/YZ4wJEybE66+/Hr///e/3eP3888+PxsbG6NOnT1x44YVx1VVXxRVXXBH33HNP3Hjjjan++8ybNy+WLl0aEyZMSDUuAAAA0HHVJUmS5J0EUEznnXdebNy4Mf7whz/sPDdjxowYN25cPPXUU3HKKadkkkdjY2MsX748/vznP2cyHgAAAFD96vNOACiuSZMmxbHHHht/+tOf4tRTT80lh8WLF8cvf/nLeOKJJ3IZHwAAAKhOGqNAxQwfPvxNX9RUacccc8w+33gPAAAA1CZ7jAIAAAAANcceowAAAABAzbFiFAAAAACoORqjAAAAAEDN0RgFAAAAAGqOxigAAAAAUHM0RgEAAACAmqMxCgAAAADUHI1RAAAAAKDmaIwCAAAAADVHYxQAAAAAqDkaowAAAABAzdEYBQAAAABqzv8H/FUGEvwi4tkAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 2, figsize=(12, 4.5))\n", "fdtdx.plot_material_from_side(config, arrays, \"z\", position=0.0, ax=axes[0], plot_legend=True)\n", "fdtdx.plot_material_from_side(config, arrays, \"y\", position=0.0, ax=axes[1], plot_legend=True)\n", "axes[0].set_title(\"Device plane permittivity\")\n", "axes[1].set_title(\"Vertical permittivity section\")\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "2718b0e7", "metadata": {}, "source": [ "## 5. Run one broadband simulation\n", "\n", "The mode source, normalization monitor, all output monitors, energy-decay monitor,\n", "and spatial field monitor are evaluated together. The simulation may terminate\n", "before the time ceiling once residual energy has decayed sufficiently." ] }, { "cell_type": "code", "execution_count": 6, "id": "574b8378", "metadata": { "execution": { "iopub.execute_input": "2026-08-16T19:34:50.252312Z", "iopub.status.busy": "2026-08-16T19:34:50.252095Z", "iopub.status.idle": "2026-08-16T19:35:47.316284Z", "shell.execute_reply": "2026-08-16T19:35:47.315685Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Local FDTDX runtime: 57.1 s\n" ] } ], "source": [ "started = perf_counter()\n", "sparams, detector_states = fdtdx.calculate_sparam(\n", " objects, arrays, config, spec.input_port.name, show_progress=False,\n", ")\n", "elapsed_s = perf_counter() - started\n", "print(f\"Local FDTDX runtime: {elapsed_s:.1f} s\")" ] }, { "cell_type": "markdown", "id": "bc2b4dbb", "metadata": {}, "source": [ "## 6. Plot the simulated electric field" ] }, { "cell_type": "code", "execution_count": 7, "id": "81322d67", "metadata": { "execution": { "iopub.execute_input": "2026-08-16T19:35:47.317613Z", "iopub.status.busy": "2026-08-16T19:35:47.317464Z", "iopub.status.idle": "2026-08-16T19:35:47.484775Z", "shell.execute_reply": "2026-08-16T19:35:47.484148Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "phasor = np.asarray(detector_states[\"field_xy\"][\"phasor\"])[0, 0, :3]\n", "field_magnitude = np.sqrt(np.sum(np.abs(phasor) ** 2, axis=0)).squeeze()\n", "field_magnitude /= field_magnitude.max() + 1e-30\n", "fig, ax = plt.subplots(figsize=(11, 5))\n", "image = ax.imshow(\n", " field_magnitude.T, origin=\"lower\",\n", " extent=(-spec.domain_um[0] / 2, spec.domain_um[0] / 2, -spec.domain_um[1] / 2, spec.domain_um[1] / 2),\n", " cmap=\"magma\", vmin=0, vmax=1, aspect=\"equal\",\n", ")\n", "for layer in spec.layers:\n", " vertices = np.asarray(layer.vertices_um)\n", " ax.plot(*np.vstack((vertices, vertices[0])).T, color=\"cyan\", lw=0.45, alpha=0.8)\n", "ax.set(xlabel=\"x (µm)\", ylabel=\"y (µm)\", title=f\"Executed |E| at {spec.wavelength0_um:.3f} µm\")\n", "fig.colorbar(image, ax=ax, label=\"normalized |E|\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "80f51b9e", "metadata": {}, "source": [ "## 7. Port analysis\n", "\n", "The useful checks are through transmission, orthogonal crosstalk, and total monitored power." ] }, { "cell_type": "code", "execution_count": 8, "id": "7c7d447f", "metadata": { "execution": { "iopub.execute_input": "2026-08-16T19:35:47.486040Z", "iopub.status.busy": "2026-08-16T19:35:47.485930Z", "iopub.status.idle": "2026-08-16T19:35:47.594449Z", "shell.execute_reply": "2026-08-16T19:35:47.593936Z" } }, "outputs": [ { "data": { "image/png": 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", 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21.360.7861480.0000030.7861510.999992
\n", "
" ], "text/plain": [ " wavelength_um through cross monitored_total relative_port_std\n", "0 1.26 0.825490 0.000147 0.825637 0.999644\n", "1 1.31 0.826373 0.000015 0.826387 0.999965\n", "2 1.36 0.786148 0.000003 0.786151 0.999992" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "wavelengths_um = np.asarray(spec.wavelengths_um)\n", "powers = {\n", " port.name: np.abs(np.asarray(sparams[(port.name, spec.input_port.name)]).squeeze()) ** 2\n", " for port in spec.output_ports\n", "}\n", "total = sum(powers.values(), start=np.zeros_like(wavelengths_um))\n", "if len(powers) > 1:\n", " stack = np.stack(list(powers.values()))\n", " uniformity = np.std(stack, axis=0) / (np.mean(stack, axis=0) + 1e-30)\n", "\n", "golden = np.load(f\"benchmarks/goldens/{CASE_ID}.npz\", allow_pickle=True)\n", "colors = plt.cm.viridis(np.linspace(0.1, 0.9, len(powers)))\n", "fig, ax = plt.subplots(figsize=(9, 4.8))\n", "for (port_name, values), color in zip(powers.items(), colors, strict=True):\n", " ax.plot(wavelengths_um, values, \"o-\", color=color, label=f\"FDTDX · {port_name}\")\n", " ax.plot(wavelengths_um, golden[port_name], \"x--\", color=color, alpha=0.65, label=f\"Tidy3D · {port_name}\")\n", "ax.set(xlabel=\"wavelength (µm)\", ylabel=\"normalized modal power\", title=\"Port spectra\")\n", "ax.grid(alpha=0.25)\n", "ax.legend(ncol=2, fontsize=8)\n", "plt.show()\n", "\n", "table = pd.DataFrame({\"wavelength_um\": wavelengths_um, **powers, \"monitored_total\": total})\n", "if len(powers) > 1:\n", " table[\"relative_port_std\"] = uniformity\n", "table" ] }, { "cell_type": "markdown", "id": "2cd295ad", "metadata": {}, "source": [ "## Reproduce and refine\n", "\n", "The notebook output above is retained from a real local execution. For a scientific\n", "result, rerun after reducing `spec.dl_um`, increasing the time ceiling, and checking\n", "port placement. The benchmark command below applies the catalog's frozen-reference\n", "tolerances and records the result in `progress.json`." ] }, { "cell_type": "code", "execution_count": 9, "id": "42562319", "metadata": { "execution": { "iopub.execute_input": "2026-08-16T19:35:47.595506Z", "iopub.status.busy": "2026-08-16T19:35:47.595374Z", "iopub.status.idle": "2026-08-16T19:35:47.597560Z", "shell.execute_reply": "2026-08-16T19:35:47.597095Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "uv run fdtdx-bench run --case device_waveguide_crossing\n" ] } ], "source": [ "print(\"uv run fdtdx-bench run --case device_waveguide_crossing\")" ] } ], "metadata": { "fdtdx_execution": { "executed": true, "working_directory": "repository root" }, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.13" }, "mystnb": { "execution_mode": "off" } }, "nbformat": 4, "nbformat_minor": 5 }