{ "cells": [ { "cell_type": "markdown", "id": "ad04067d", "metadata": {}, "source": [ "# 03 · Your first simulation\n", "\n", "We'll take a **y-branch** — a 1×2 power splitter — from a GDS layout all the\n", "way to S-parameters and a field profile, running on **beamz**: a free,\n", "open-source (Apache-2.0) FDTD engine on your own CPU. No cloud, no license.\n", "\n", "Every simulation in gds_fdtd has the same shape:\n", "\n", "> **a `Component` + a `Technology` + a `SimulationSpec` → one `SMatrix`.**\n", "\n", "Everything before `run()` — loading geometry, solving the waveguide mode,\n", "meshing, estimating cost — is **offline and free**. By the end you'll have\n", "produced, from scratch: the material stack, the guided mode you're launching,\n", "the meshed permittivity, the scattering matrix, and the field splitting one\n", "input into two." ] }, { "cell_type": "code", "execution_count": 1, "id": "903eed6c", "metadata": { "execution": { "iopub.execute_input": "2026-07-20T02:01:41.180058Z", "iopub.status.busy": "2026-07-20T02:01:41.179961Z", "iopub.status.idle": "2026-07-20T02:01:41.587003Z", "shell.execute_reply": "2026-07-20T02:01:41.586500Z" } }, "outputs": [], "source": [ "from pathlib import Path\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "from gds_fdtd.grid import resolve_index\n", "from gds_fdtd.modes import waveguide_mode\n", "from gds_fdtd.plotting import (\n", " plot_component,\n", " plot_mode,\n", " plot_permittivity,\n", " plot_smatrix,\n", " plot_tech_stack,\n", ")\n", "from gds_fdtd.smatrix import SMatrix\n", "from gds_fdtd.solvers import get_solver\n", "from gds_fdtd.spec import SimulationSpec\n", "from gds_fdtd.technology import Technology\n", "\n", "\n", "def _find(rel: str) -> Path:\n", " for base in (Path.cwd(), *Path.cwd().parents):\n", " if (base / rel).exists():\n", " return base / rel\n", " raise FileNotFoundError(rel)\n", "\n", "\n", "HERE = _find(\"examples/03_first_simulation\")\n", "tech = Technology.from_yaml(_find(\"examples/tech.yaml\"))" ] }, { "cell_type": "markdown", "id": "55fe78a0", "metadata": {}, "source": [ "## 1 · The device\n", "\n", "The canonical SiEPIC EBeam `ebeam_y_1550` y-branch, loaded from the\n", "KLayout/SiEPIC PDK. One input (`opt1`, facing −x) splits into two outputs\n", "(`opt2`, `opt3`, facing +x). `from_tech` reads the polygons on each technology\n", "layer and **auto-detects the ports** — you never place them by hand." ] }, { "cell_type": "code", "execution_count": 2, "id": "14f5a1fa", "metadata": { "execution": { "iopub.execute_input": "2026-07-20T02:01:41.589086Z", "iopub.status.busy": "2026-07-20T02:01:41.588724Z", "iopub.status.idle": "2026-07-20T02:01:43.394906Z", "shell.execute_reply": "2026-07-20T02:01:43.394375Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SiEPIC-EBeam-PDK Python module: siepic_ebeam_pdk, KLayout technology: EBeam\n", "KLayout SiEPIC-Tools version 0.5.31\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "SiEPIC-Tools is up to date (0.5.31 vs 0.5.31).\n", "Version check, time: 0.2743494510650635 seconds\n", "SiEPIC-EBeam-PDK Python module: pymacros, v0.4.53\n", "Libraries associated with Technology EBeam: ['EBeam', 'EBeam-ANT', 'EBeam-Dream', 'EBeam-SiN', 'EBeam_Beta']\n" ] }, { "data": { "text/html": [ "
19:01:42 PDT WARNING: Using canonical configuration directory at                \n",
       "             '/home/mustafa/.config/tidy3d'. Found legacy directory at          \n",
       "             '~/.tidy3d', which will be ignored. Remove it manually or run      \n",
       "             'tidy3d config migrate --delete-legacy' to clean up.               \n",
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Remove it manually or run \u001b[0m\n", "\u001b[2;36m \u001b[0m\u001b[32m'tidy3d config migrate --delete-legacy'\u001b[0m\u001b[31m to clean up. \u001b[0m\n" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ " opt1: at (-7.40, 0.00) µm, 0.500 µm wide, 180°\n", " opt2: at (7.40, 2.75) µm, 0.500 µm wide, 0°\n", " opt3: at (7.40, -2.75) µm, 0.500 µm wide, 0°\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import os # noqa: E402\n", "\n", "import siepic_ebeam_pdk as pdk # noqa: E402\n", "\n", "from gds_fdtd.lyprocessor import load_cell # noqa: E402\n", "from gds_fdtd.simprocessor import load_component_from_tech # noqa: E402\n", "\n", "gds = os.path.join(os.path.dirname(pdk.__file__), \"gds\", \"EBeam\", \"ebeam_y_1550.gds\")\n", "cell, _layout = load_cell(gds, top_cell=\"ebeam_y_1550\")\n", "component = load_component_from_tech(cell=cell, tech=tech)\n", "component.name = \"ebeam_y_1550\"\n", "\n", "for p in component.ports:\n", " print(f\" {p.name}: at ({p.center[0]:.2f}, {p.center[1]:.2f}) µm, {p.width:.3f} µm wide, {p.direction}°\")\n", "\n", "plot_component(component, spec=SimulationSpec(buffer=0.8))\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "d4e4b5f6", "metadata": {}, "source": [ "## 2 · The material stack\n", "\n", "The vertical make-up of the chip: a silicon (n ≈ 3.48) waveguide core on an\n", "oxide substrate, clad in more oxide (n ≈ 1.44). This one technology file feeds\n", "every engine." ] }, { "cell_type": "code", "execution_count": 3, "id": "47423172", "metadata": { "execution": { "iopub.execute_input": "2026-07-20T02:01:43.396859Z", "iopub.status.busy": "2026-07-20T02:01:43.396359Z", "iopub.status.idle": "2026-07-20T02:01:43.444811Z", "shell.execute_reply": "2026-07-20T02:01:43.443984Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_tech_stack(tech, wavelength_um=1.55)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "4f692c91", "metadata": {}, "source": [ "## 3 · The mode we're launching\n", "\n", "Before any light propagates, what *guided mode* does the input waveguide\n", "carry? We solve it locally (tidy3d's offline mode solver — no cloud) for the\n", "strip's actual width and thickness. Its **effective index** `n_eff` is the\n", "single number that says how the mode travels; the profile shows the light\n", "hugging the high-index core." ] }, { "cell_type": "code", "execution_count": 4, "id": "9a5cabb4", "metadata": { "execution": { "iopub.execute_input": "2026-07-20T02:01:43.446029Z", "iopub.status.busy": "2026-07-20T02:01:43.445925Z", "iopub.status.idle": "2026-07-20T02:01:44.431918Z", "shell.execute_reply": "2026-07-20T02:01:44.431319Z" } }, "outputs": [ { "data": { "text/html": [ "
19:01:43 PDT WARNING: Use the remote mode solver with subpixel averaging for    \n",
       "             better accuracy through 'tidy3d.web.run(...)' or the deprecated    \n",
       "             'tidy3d.plugins.mode.web.run(...)'. Alternatively, you can install \n",
       "             the package 'tidy3d-extras' using 'pip install \"tidy3d\"' and set   \n",
       "             'config.simulation.use_local_subpixel=True'.                       \n",
       "
\n" ], "text/plain": [ "\u001b[2;36m19:01:43 PDT\u001b[0m\u001b[2;36m \u001b[0m\u001b[31mWARNING: Use the remote mode solver with subpixel averaging for \u001b[0m\n", "\u001b[2;36m \u001b[0m\u001b[31mbetter accuracy through \u001b[0m\u001b[32m'tidy3d.web.run\u001b[0m\u001b[32m(\u001b[0m\u001b[32m...\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m\u001b[31m or the deprecated \u001b[0m\n", "\u001b[2;36m \u001b[0m\u001b[32m'tidy3d.plugins.mode.web.run\u001b[0m\u001b[32m(\u001b[0m\u001b[32m...\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m\u001b[31m. Alternatively, you can install \u001b[0m\n", "\u001b[2;36m \u001b[0m\u001b[31mthe package \u001b[0m\u001b[32m'tidy3d-extras'\u001b[0m\u001b[31m using \u001b[0m\u001b[32m'pip install \"tidy3d\u001b[0m\u001b[32m\"'\u001b[0m\u001b[31m and set \u001b[0m\u001b[31m \u001b[0m\n", "\u001b[2;36m \u001b[0m\u001b[32m'config.simulation.\u001b[0m\u001b[32muse_local_subpixel\u001b[0m\u001b[32m=\u001b[0m\u001b[32mTrue\u001b[0m\u001b[32m'\u001b[0m\u001b[31m.\u001b[0m\u001b[31m \u001b[0m\n" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
             WARNING: Permittivity spatial data array does not fully cover the  \n",
       "             requested region.                                                  \n",
       "
\n" ], "text/plain": [ "\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0m\u001b[31mWARNING: Permittivity spatial data array does not fully cover the \u001b[0m\n", "\u001b[2;36m \u001b[0m\u001b[31mrequested region. \u001b[0m\n" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "input strip 0.500×0.220 µm — TE0 n_eff = 2.4441\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n_core = resolve_index(tech.device[0].material, 1.55).real\n", "n_clad = resolve_index(tech.superstrate.material, 1.55).real\n", "width = component.ports[0].width # the input strip width\n", "height = tech.device[0].z_span # core thickness\n", "\n", "mode = waveguide_mode(width, height, n_core, n_clad, 1.55)[0]\n", "print(f\"input strip {width:.3f}×{height:.3f} µm — TE0 n_eff = {mode.n_eff.real:.4f}\")\n", "plot_mode(mode)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "5340c2c2", "metadata": {}, "source": [ "## 4 · What the solver meshes\n", "\n", "The permittivity grid the FDTD run is built on. This is the check that catches\n", "the most mistakes: whether the meshed structure is the one you intended. Here,\n", "top-down through the device layer, the input taper fans out into the two\n", "branches." ] }, { "cell_type": "code", "execution_count": 5, "id": "2d5521cd", "metadata": { "execution": { "iopub.execute_input": "2026-07-20T02:01:44.433723Z", "iopub.status.busy": "2026-07-20T02:01:44.433243Z", "iopub.status.idle": "2026-07-20T02:01:44.866996Z", "shell.execute_reply": "2026-07-20T02:01:44.866125Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_permittivity(component, dx=0.04, axis=\"z\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "f2e7007b", "metadata": {}, "source": [ "## 5 · A free preview\n", "\n", "`validate()` lists any problems (empty = good). `build()` constructs the full\n", "scene **offline**; `estimate()` reports the grid size and cost *before you\n", "spend anything*. We keep the job small (mesh 6, five wavelengths) so it fits a\n", "modest laptop." ] }, { "cell_type": "code", "execution_count": 6, "id": "605869de", "metadata": { "execution": { "iopub.execute_input": "2026-07-20T02:01:44.868394Z", "iopub.status.busy": "2026-07-20T02:01:44.868258Z", "iopub.status.idle": "2026-07-20T02:01:45.611204Z", "shell.execute_reply": "2026-07-20T02:01:45.610326Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "validate(): OK — no problems\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "● Done: Raster cache hit (3d): dca6d737c3723a585c9eb01d32dd50db74e0714717c236888fc1201314872189.npz | load=0.30s\n", "build(): {'n_ports': 3, 'grid_shape': (70, 161, 279), 'dx_nm': 74.31914077483697, 'n_core': 3.476, 'n_clad': 1.444, 'n_simulations': 3}\n", "estimate(): ResourceEstimate(grid_cells=3144330, memory_gb=0.15092784, n_simulations=3, cost_hint='free local compute (JAX; CPU works, GPU if available)')\n" ] } ], "source": [ "spec = SimulationSpec(\n", " wavelength_start=1.5, wavelength_end=1.6, wavelength_points=5, mesh=6,\n", " z_min=-1.0, z_max=1.11, buffer=0.8,\n", ")\n", "solver = get_solver(\"beamz\")(component, technology=tech, spec=spec)\n", "print(\"validate():\", solver.validate() or \"OK — no problems\")\n", "print(\"build(): \", solver.build().summary)\n", "print(\"estimate():\", solver.estimate())" ] }, { "cell_type": "markdown", "id": "2e4276b3", "metadata": {}, "source": [ "## 6 · Run\n", "\n", "`run()` is the one call that consumes a resource — on beamz, local CPU time\n", "(a few minutes) at zero cost. It returns the canonical `SMatrix`. We ran it\n", "once and saved the result, so this notebook re-executes instantly:\n", "\n", "```python\n", "smatrix = solver.run_cached(\".gds_fdtd_cache\") # repeats are free\n", "```" ] }, { "cell_type": "code", "execution_count": 7, "id": "1fb2def5", "metadata": { "execution": { "iopub.execute_input": "2026-07-20T02:01:45.613619Z", "iopub.status.busy": "2026-07-20T02:01:45.613098Z", "iopub.status.idle": "2026-07-20T02:01:45.619286Z", "shell.execute_reply": "2026-07-20T02:01:45.618681Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "input split — opt2←opt1: -3.21 dB opt3←opt1: -3.29 dB\n", "(an ideal lossless 1×2 splitter gives −3.01 dB into each arm)\n" ] } ], "source": [ "smatrix = SMatrix.from_npz(str(_find(\"examples/07_choosing_an_engine/recorded/ybranch_beamz.npz\")))\n", "\n", "# a y-branch's figure of merit is its input split: opt1 into each arm\n", "s21 = float(np.mean(smatrix.magnitude_db(out=2, in_=1)))\n", "s31 = float(np.mean(smatrix.magnitude_db(out=3, in_=1)))\n", "print(f\"input split — opt2←opt1: {s21:.2f} dB opt3←opt1: {s31:.2f} dB\")\n", "print(\"(an ideal lossless 1×2 splitter gives −3.01 dB into each arm)\")" ] }, { "cell_type": "markdown", "id": "d93969da", "metadata": {}, "source": [ "Power from `opt1` divides roughly in half into the two arms, within a few\n", "tenths of a dB of the −3 dB ideal. The plot shows how that split holds across\n", "the wavelength band." ] }, { "cell_type": "code", "execution_count": 8, "id": "f51645e2", "metadata": { "execution": { "iopub.execute_input": "2026-07-20T02:01:45.621070Z", "iopub.status.busy": "2026-07-20T02:01:45.620875Z", "iopub.status.idle": "2026-07-20T02:01:45.693189Z", "shell.execute_reply": "2026-07-20T02:01:45.692633Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_smatrix(smatrix, kind=\"db\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "9fba78a0", "metadata": {}, "source": [ "## 7 · The field\n", "\n", "The |E|² intensity in the device plane for the `opt1` excitation. The mode\n", "launched into the single input waveguide tapers out and splits evenly down\n", "the two branches.\n", "\n", "*(This field was rendered from a small **tidy3d cloud** run of the same\n", "y-branch — the compute is remote, so a full 3-D field costs no local memory.\n", "Every engine can produce this; `07_choosing_an_engine` compares all three.)*" ] }, { "cell_type": "code", "execution_count": 9, "id": "8e89fc04", "metadata": { "execution": { "iopub.execute_input": "2026-07-20T02:01:45.694780Z", "iopub.status.busy": "2026-07-20T02:01:45.694697Z", "iopub.status.idle": "2026-07-20T02:01:45.772501Z", "shell.execute_reply": "2026-07-20T02:01:45.771650Z" } }, "outputs": [ { "data": { "image/png": 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P5xNCyIUPZrO51uvX915D1bcgIBgMik6dOol58+bpxz788EPRoUMHkZ6eLjIyMsSf//xnceKJJ4qkpCQxbtw4sWrVqlr3ef3118NWHLrdbnHxxReL5ORksXv37nr7J4QQs2bNEgaDodYk/MO9z5rfU4/HI4455hjRp08ffcHC/v37xbnnnityc3MjTsh3OBwiMTFRmM1mAUBs2bIl7PzPP/8snnjiCVFcXKwfKygoEBdccIEwmUzi008/PaLXv+aaa0ROTs5hv49E7RWDM4qoIas1b7nllsPeozVZt26dOOOMM4TFYhEdO3YUaWlpIi8vTzz++OOioqJCLF26VBgMhloBwo4dO0Rqaqo488wz9V8uTqdT3H777SIpKUkkJyeLrKwsMWjQILFs2TL9ukjB2ccffyzS0tJEZmam6Nu3r7jxxhv1c0899ZSIj48XmZmZIj09XVx77bVi+fLltYKz+u4R6TUPHDggzj//fP19m81mcfzxx4sff/xRb3OkwVlDXueFF14Q2dnZIiMjQ8TFxYl777231i/v+t7rm2++qf9bTEhIEAaDoc5/m7NmzRLdunUTpaWlYcf37t0r3G633v+qqqp63+M///lPkZGRITp27CiSk5PF4MGDxU8//XTYr40QQpSVlYmEhATx7LPP1joX6/d0z5494tRTTxUGg0F06tRJ9OnTR6xevbrOUhZCCHHjjTcKAGLMmDG1zjkcDvHYY4+J3NxckZ2dLXJycoTZbBYjR44M+zfdkNf3eDwiLS2NKzWJ6mEQ4jCTR6hdGjJkCE488cSwoRyn04n8/Pw6r0lKSgqbQxLpHq2Ry+XCgQMHkJGRoc8fA6AvGujTp0+tVXkHDhxAWVkZevToEVas0+/3Y9++fUhJSam1Em/Lli1ITU3VJ5VrtAUKbrcbCQkJyM3NrXW/zMxMJCQkwO12Y9euXcjNzdUnldd3j7peE5CbUB84cACpqalIT0+vdX7Tpk3IzMxEZmZm2PE9e/YAiDzZP5L6Xsfv98NiseBvf/sbZsyYAbfbjf379yMnJ6fOxSJ1vdeSkpI653DV/LcZDAZx3nnnoaysDB988MERrZrU+hMXF6cPh0fr7rvvxtKlS7Fhw4Za/8Ya8j0tKiqC2+1G586dYTAYsHPnTlit1ohzu1588UXcfvvtePvtt+vdpaCkpAQOhwMdOnRAfHx8ve8nmtefN28ebrjhBmzdujVs0QURVWNwRhE1RmDVVoIzajk1g7Pm5Ha7cf311+Obb77BI488gvPPP18P0rxeL37++We88cYbOOecc8Iq5zem0tJS9OrVCy+88AIuv/zyJnmNuowZMwbr1q1DQUHBYYOuxhIIBNC/f39cdtllmD59erO8JlFbxNWaRNQuxcXFYc6cOVi2bBleeOEF3HnnnXrm9NChQ+jYsSMmTZoUczYsFmlpafj999+b7P51WbVqFVauXIlp06Y1W2AGyOBsyZIlYSuQiag2BmdE1K6NHz8e48ePh9/vx8GDByGEQE5OTlSrFxtDcw7t/fbbb7jwwguxa9cunHbaafjb3/7WbK8NyBIiDamRSNTecFiTItq1axfsdvsRZQ0a4x509Ktrbhs1Pm3OYmpqaq0yLUTUejA4IyIiImpFWISWiIiIqBVpd3POgsEgCgoKkJSUpG/VQkRE1BoJIVBRUYFOnTrVKrfSEtxuN7xeb4OutVqt9e7cQtXaXXBWUFAQcZNlIiKi1io/Pz+sBmJLcLvdyLAnogqBBl2fk5ODnTt3MkCLQrsLzrSNeU3HXASDydLCvSEiIqqbCPgQ2PBerU3lW4LX60UVArgMnWGNcVaUF0HMP7APXq+XwVkU2l1wpg1lGkwWGEzWw7QmIiJqea1pGo4dRlgNsQVnJi49jEm7C86IiIio4UwGA0wxBosmGAAGaFFjcEZERERRMxoAU4yJPCPA4CwGDM6IiIgoag3OnFHUWn5dLhERERHpmDkjIiKiqJkaMKxpapquHLXaZHD2+eef46uvvkJ8fDwuu+wy9OzZs6W7RERE1C5wWLPptalhzUAggAsvvBBXXXUVbDYbbDYbLrzwQqxfv76lu0ZERNQuaJmzWD8oem0qc/bCCy/gs88+w++//46uXbsCAG6//XY4nc4W7hkREVH7wMxZ02tTwdkrr7yCyy67TA/MAMBut8Nut7dgr4iIiNoPA2IfdmNoFps2E5w5HA5s374d06dPx7x587BmzRp06tQJF110UViwVpPH44HH49Gfl5eXN0d3iYiIiBqkzcw5q6ioAAD8v//3//D+++8jLy8Pq1evRv/+/fHtt9/Wed3MmTORkpKif3DTcyIioobThjVj/aDotZnMWXJyMgCgS5cuWLhwoX78z3/+Mx5++GEsX7484nXTpk3D3XffrT8vLy9ngEZERNRALKXR9NpUcJaXl4chQ4aEHR88eDDmzZtX53Xaqk4iIiI6cjI4i3VBAMWizQRnAHDZZZfhs88+g8/ng8ViQSAQwLJlyzBs2LCW7hoREVG7wMxZ02tTwdnf/vY3fPfddxg0aBBOOOEErF69GsFgEO+9915Ld42IiKhdYCmNptemgrPExEQsX74c33zzDXbv3o2rrroKo0ePhsViaemuERERETWKNhWcAYDRaMTYsWNbuhtERETtkrEBw5ptpjREK9HmgjMiIiJqORzWbHoMzoiIiChqXBDQ9BicERERUdQYnDU9BmdEREQUNQ5rNj3O0SMiIiJqRZg5IyIioqiZ0IBhTdEkXTlqMXNGREREUTM2YNNz4xFsfD5jxgzk5ubi6aefrnVuzpw5GDlyJHr16oULL7wQ27Zta7I2zYnBGREREUVNWxAQ60dDfPPNN5gzZw6CwSAcDkfYuXnz5uG6667D9ddfjwULFsBgMODUU08Na9dYbZobgzMiIiKKWqxZs4YsIACAoqIiXHHFFXj77bcRHx9f6/zf//533HTTTbj66qsxZMgQvP3223A4HHjjjTcavU1zY3BGREREUWuuzNnVV1+Nq6++GiNHjqx1bv/+/di6dSvGjx+vH7Pb7TjllFOwYsWKRm3TEhicERERUbMoLy8P+/B4PBHbvfDCCygqKsJDDz0U8fzevXsBADk5OWHHO3TogH379jVqm5bA4IyIiIiidiTDmnl5eUhJSdE/Zs6cWev+a9euxYwZMzBv3jyYzZGLSgSDQQCodd5isSAQCDRqm5bAUhpEREQUNWMDVl9q7fPz85GcnKwft9lstdp+9tlncDqdOOWUU/RjBw4cwL/+9S+8++672LZtG7KysgDIeWmhioqK9HON1aYlMHNGREREUTOYDA36AIDk5OSwj0jB2S233IKtW7fixx9/1D/y8vJw9dVX45tvvgEAdOvWDVlZWfjuu+/064LBIL7//nuccMIJjdqmJTA4IyIioqgZTYYGfUQrKSkJubm5YR8mkwlJSUno3Lmz7IPRiJtuugkvv/wyNm7ciGAwiCeffBKlpaWYOnVqo7ZpCRzWJCIiouiZjDAYY8ztGBp/i4CHH34YhYWFGDp0KMxmM9LT07Fw4UJ079690ds0N4MQol1tqlBeXo6UlBSYB10Gg8na0t0hIiKqkwh44f99PhwOR9hcrZag/f5c0G0QEoymmK51BgO4YNfvDX4fBw4cQHx8fMRrPR4PKioqkJGRAUMdc+Eaq01zYeaMiIiIomYwVs8hi/oaHFmwU7PURSibzRZx7lpTtGkuDM6IiIgoarHOIQMA4xEGZ+0NgzMiIiKKmsEY+5wzQ/uaQXXEGJwRERFR1Jg5a3oMzoiIiChqoXXLor6GwVlMWOeMiIiIqBVh5oyIiIiiJjNnMc45Q7CJenN0YnBGREREUeOcs6bH4IyIiIiiZjAYYDDGOOcsyOAsFgzOiIiIKGpGkxHGGIc1jYJT3GPB4IyIiIii1qDVmoKZs1gwlCUiIiJqRZg5IyIioqgxc9b0GJwRERFR1DjnrOkxOCMiIqLoNSBzBmbOYsLgjIiIiKJmNBhgjLGUhtHA4CwWDM6IiIgoagaTMfYdAoIc1owFv1pERERErUibzZxt3LgRixcvxvDhw3H66ae3dHeIiIjahQZt38QdAmLSJoOzqqoqXHDBBdizZw+uueYaBmdERETNpEGlNBicxaRNDmveeuutOPPMM9GzZ8+W7goREVG7os05i/WDotfmMmfvvPMO1qxZg1WrVmHEiBEt3R0iIqJ2xWhCA4Y1m6gzR6k2FZxt374dd955J7788kvYbLaorvF4PPB4PPrz8vLypuoeERHRUc9gNMAQYymNWNu3d20mOPP5fLjkkkvwt7/9DQMHDoz6upkzZ+Kxxx5rwp4RERFRUzhw4ADcbjdyc3NhNoeHLHv27EFJSUnYsYSEBPTu3bvWfQoLC1FcXIzu3bvXmdyJpk1zaTODwPPmzcOWLVvgdDrxxBNP4IknnsChQ4ewevVqPPHEExBCRLxu2rRpcDgc+kd+fn4z95yIiOjoYTQa9S2cov4wxhZufPjhhxg0aBCOP/54jB49Gh06dMCLL74Y1ubBBx/Eaaedhquuukr/ePzxx8PauN1uXHTRRcjNzcW4ceOQk5ODd955J+Y2za3NZM769euHG2+8EQ6HQz8WCATg8XhQVlYGIQQMESoQ22y2Fo+AiYiIjhYNWq0ZY/stW7bg/fffR69evQDI+eaXXnopRo4cieOPP15v9+c//xlvvfVWnfd56KGH8NNPP2Hnzp3o1KkTXnvtNVxxxRUYOnQo+vXrF3Wb5tZmMmcjR47UM2baR8eOHTFq1Cg88cQTMUflREREFLvmWK15zz336IEZIIMwANi5c2dYO5/Ph82bN6OwsLDWPQKBAN544w3cfPPN6NSpEwDg+uuvR6dOnTB79uyo27SENpM5IyIiopZnMBphiDEhEmt7AHA4HNi5cyfKysrw8ssvY+jQoZg4cWJYm3feeQc//vgjDh48iG7duuG1117DSSedBADYsWMHysrKcMIJJ4RdM2LECPzyyy9Rt2kJbTo4mzp1Knr06NHS3SAiImo3tHlksV4D1K6YUN/Uo59//hn33nsvDh06BJ/Ph9deew0JCQn6+bPOOgtPPfUUOnXqBLfbjZtvvhlnn3021q9fj5ycHBQXFwMAMjIywu6bkZGBrVu3AkBUbVpCmx4LvP322zFp0qSW7gYRERFFIS8vDykpKfrHzJkz62w7btw4/PrrrygoKMArr7yCCy+8EMuWLdPPT5kyRR+KjIuLw6xZs1BRUYGPP/4YAGCxWAAgrJyW9lw7F02bltCmM2dERETUzBpS8V+1z8/PR3Jysn442gV7F1xwAQYOHIglS5Zg/PjxEdvY7Xakp6frVRny8vIAAPv37w9rV1BQoJ+Lpk1LaNOZMyIiImpeBmMDFgSoOWfJyclhH5GCs0AggEAgEHbM6/Xi4MGDSE1N1dv4/f6wNhs3bsTBgwf1FZbZ2dkYMGAAli5dqrepqKjAihUr9D25o2nTEpg5IyIioqg19YKA0tJSnHXWWbjlllvQr18/FBUV4aWXXoLf78d1110HQAZQp512mt5m586dmD59Oo4//nicf/75+r1mzJiBCy+8EL169cLQoUPx1FNPoXPnzrjqqqtiatPcDKKu6q1HqfLycqSkpMA86DIYTNaW7g4REVGdRMAL/+/z4XA4woYDW4L2+/O3Wy9Cki22358VHi8Gv/Re1O9j8+bN+Oc//4l169YhOTkZw4YNw2233Ybs7Gy9zZYtW/DCCy9g3bp1yMjIwGmnnYabbroJVmt43z766CO88sorKC4uxtChQ/HII4+gY8eOMbdpTgzOiIiIWqnWGJytu+PiBgVnx/7z3VbxPtoCzjkjIiIiakU454yIiIiiZjTGvlcmd/GJDYMzIiIiilpDtmOKufRGO8fgjIiIiKLG4KzpMTgjIiKiqBkMDSilYWBwFgsGZ0RERBQ1Zs6aHr9aRERERK0IM2dERFQng9HUpNfVbNfQ1wslgoEGtWlonw/3OkG/N+p+tQXMnDU9BmdEREQUNaPJCGOMwVas7ds7BmdERO1UfVkr7fNIWSKDKfyY0Wiq1V6bMG6IdM5kqnXOZLbW2YdIz2tmoUKfa59rj8EI5yKJ9F6NUXyNItFex+euhKv0IADA76o8bB/aAoPR0IC9NQ1N1JujE4MzIiIiihqHNZsegzMioqNMfRmd0GyV0SKzVcaQzJbRbAEAmKx2+WhTj2YrjDWyW6GZsLqyXAajCSaz/MVsUr+gjeq52WKC2aLO1WgjszPh2RZjyPNgMHxbaKGei6BAUIiwY6Gf17yurvtXvw9DredGQ+1jNfl9MjtWUeJCsTpW6XGpvrTtzBk1PQZnREREFDVmzpoegzMiojbkcFkxAHqGC6ie36XN6TJZ42BJSAEAmLXsmHo0WqwwW23ynEXLfMmskM1ugdUuf2XY4mR2zWLT7m2ESbXz+4PyUWWO/L5grWyVlqEyGAwwmQ1hr2NQWaloslihRISMWH1ZssZQs48Go0Hvh/b+fZ5ArYxjW8citE2PwRkRUStR3y/vWkOKIZPytcDLHJcgH+2JeuClXacNYVri4mG1y+AqMTUOABCfqK63mPQASA+uvEH1utUBW2K8vD4pTv4KsVvNsKphSbtqY1PPrWajfq7mo8logEX9kjepOEcLeEyG2oFYzeHEumjDmrEKRHFdpH5pQvtX6fUDAL7dUojKMjmcWXlgV4P61doYTCYYTbEFmjUXkVD9GJwRERFR1Dis2fQYnBERtaDQifN1lZwwGk16VsyWlC6PhWTStEn7lrh4AIA90YaEZDk8abGZVbvq19Qm39vUuVSVCbNbzbBb5WumquxalrpPgtWM+BpZMYvKcllMRsTVOqYejUY9o6Qd0xJMRkQYumziigvaSGS0I571JdPq66vTKzOPlR4/1q2TpTSOluwRg7Omx68WERERUSvCzBkRUROrr7irNhfMZLbq2TGrmrBv1Cfx22FLSgZQPRnfnlQ9T0zLhBlVZspqMyNezQeLV5mwlHjZvmNKHPLSZKYtWd1Ly3oZDQb983iL9iivtxiN0JIfkTJfDc14aZmpIESt41p2K5YpZHX1o+ZagvpqooZm1bT7RepDff2KZv5aW2UwNmBBQIzt2zsGZ0REjaxWAKYNQZpMtSbvx6VkAQCsSemIS5AT9LWJ9za1OtJiM+srI61qKFILvkxGA1JV4NUjS96za3o8ElVQZjGFB1kpturhSbOKGbVJ7qEBixagaEGGEEAgGP4+gwjq53wB2c4TUKsU1fOAEPrnNSfqBwTgUzf1aasc1fOAAHxB+Xk0qy5DV07WnLQfOlHfFCEoC9Rz+9p9ji7oqvDIBQGrd5bAWe4GAIjA0VHfjMOaTY/BGREREUXNYDTEHpxx+6aYMDgjIjoCtfeUrJ7Yb1YT9W0pmfIxMV2vMWZTE+5tIWUtrCobZlVZL612mNVsRNcMmRXrnZMIAEhXQ5I2sxEp6vM0bcjTUj0EqWWRtIn6QSGgSpFVZ6tCskFatqrCI7M8DpUBqvT64VEXuvVHNend7YdLTYCvUo9ev5YBEwio16n56PUH9Hu6al7nD0JEqPRfU60K/iFZstBsWizBQbQ100Q9WTStBElZoRPOwj3yHn5v1H1ozTis2fQYnBEREVHUQv8AieUaih6DMyKiKEWa2K/NJ9OyZJb4ZFjsMrsVl5YjH9VcsoRkG+KTwyvwa1myjEQrclLkPXLT5WOGmkuWZrcgU5W7CJ2gDwBWkwE2VWVfy0h5AgIqqYWAQR3zy8cKrx+HnDKD43DLrFiVKjjr9PpRUinPFas2lW6fbOMNoFK196hsmsclH7WCtUD1/C6zel9Gk0FfsKDRMlMBv0BAzTELahkz9VwEhZ6tqi9DZag5vyxkT07t0WiovU9npExazYxZ6PPQuWeh+3iGCs2u+X3yfTjL3fC7KuvsP9Vtx44d+Prrr+FyuXDsscdizJgxtdqUlZVh8eLFKCwsxNChQ3H66ac3WZvmxOCMiCiC+gIxg8kEa7xaPanqjmmBmM1eHYDFJcj2cSqwyk6NQ6IaekxUE/sHdZb36ZEejySrPKZNOq+exG+CWQUTlSoQcqlf/gaDEQGfbF+mgqd95W6UumRQpQ1dOtTzQ+UeFFbICerFKhCrUuc8Lr8eaGlBVmgQowUjHnd1ewDwunzwez0AgKDPq9oG9MfQz+sS6VywxrH6rg/9fhlrDDXX/Lyu66LtX812wQjntMeAxwVPRalsd5QMa8Jokh+xXhODBx54AB999BFOPvlkGAwGzJgxA0OGDMGSJUtgtcr/V9u3b8fo0aPRvXt3DBo0CE899RQmTpyIt956S79PY7VpbgzOiIiIKHpGo/yI9ZoYnHvuuXjiiSf053fddRf69u2LL774AhMnTgQA3H333ejduze++uormEwm3HDDDTjuuONw8cUX46yzzmrUNs2NwRkRtWs1MyqhE/u1ocqa1fnNcYmwJaUCAOKTq4csAcCeaEWK2qtSm9A/vLu8bmSXND0jpU20z1XX5SRa9LpZRSojpQ1T+oICTpUp21Eq92ncp8ozANUT83cXVcnHYiccVSpzpl4n4K89NKhlyVwqg+Ysd8NTUS7be+XrhGaCgjWyQvpjIKBnhYJ+n3pUz4OBBpeQqC+TVZ/mmt8UTf9CM4dHC4PJFPNuB7G2P/HEE8Oe22y2sMeqqiosXboUr732Gkzq3kOHDsXxxx+PBQsW4Kyzzmq0Ni2BwRkRERFF7wiGNcvLy8MO22w2PeCqadOmTViwYAHKysrw2Wef4cEHH9Tngm3fvh1+vx99+vQJu6ZPnz7YtGlTo7ZpCQzOiKjdiVT2IrRSPyDLX9gS1XyylDQA1ftUJiRX712ZnCQfc9PlvpZD8lKRokpiaGUiemfIc73T7frk9gNOmdHS5rP7AwKVKju2sdAJAPq8sTizEYcq5ZyudfllAICCEpnZCgSCCPjDq8MGAwIeda2zXF7nVhP8A16XPi9My4751WPA40LA6w47Fpr1imXOWGNmi2K9V3OvDDzaMmOHZTQ2IDiTw5p5eXlhh6dPn45HH3004iWBQAButxvl5eUoKSlBUVERfD4fLBYLKivlIouUlJSwa1JTU7F+/XoAaLQ2LYHBGRERETWL/Px8JCcn68/rypoBwIABAzBjxgwAwN69e9G/f38MHToUN954IxIS5FSDmpk4h8Ohn2usNi2hzQVnJSUlWLNmDcxmM4YMGYK0tLSW7hIRtXJ1badkttlhqbHq0qoebXYbklRJizhV0iJB7WcZWvaiR7b8Ad4vU5bP6J1u17NhJWrumDb3LCCEXtJCmzOmzT2zmYzY45DZqu+3FgEADpVVzyvzqaKw2jwxbS6Z2+mDu0plwvyqtIWrEn63zAiEZsUAIOB1I6Dmg2lZsUgrK2tqS9mhttTXtuhIitAmJyeHBWfRys3NRd++ffHrr78CAHr27Amz2Yxt27bhpJNO0ttt3boVAwYMaNQ2LaHNBGdCCNx8881YsmQJBgwYgKqqKqxbtw4vvPACpk6d2tLdI6JWor6K/Vr9Ma1ivz0tB/YkNdlfVerXyl7Yk6zISJGT/TuqQOykHjJwy0uxw2KqrrgPAKladX5zSIV6FaXtdbjVI1CkJur/tLNEHiuVk/hd3gCcFTJo0oItLSBzO73weqoDLwDwVTnk87BhSvk6Qb8XgQglLUIfI2FQQ1ExNGDOmSH69lVVVdi7d2/YPLA9e/Zg06ZNuPLKKwHIjNcZZ5yBt99+G1OmTIHRaMQff/yBn3/+GQ8//HCjtmkJbSo4Gzx4MP75z3/qNU5eeeUV3HDDDRg3bhy6dOnSwj0kIiJqB5q4zlkwGMQll1yCbt26oV+/figqKsKCBQswZswYXHfddXq75557DqNHj8a4ceMwePBg/Pe//8VFF12ESZMmNXqb5mYQ9ZVebuUOHTqEDh064OOPP9brnhxOeXk5UlJSYB50GQwmaxP3kIiaS10V+62JafqQpS0lSz6qLFlSul2f2J+qJvanqiHMoV1T0SFRHtOKwXZPk/fMSbDohWKLq7Q9KH16X7S9J3eVyaHEX3aXAQD2O1woURP0tfIV2jCl2+mDUw11+pwyK+aplNm1oM+rl6bwu+VigdDMWDST8ZkVa5tEwAv/7/PhcDgaNBzYmLTfn4c+mIXkBHts1zpdyD73lqjfRzAYxKeffop169YhOTkZxx9/PE444YRa7YqKivC///0PxcXFGDp0KCZOnFhr14jGatOc2kzmLJIvvvgCBoMBxxxzTJ1tPB4PPB6P/rzmpD8iIiKKQTPsEGA0GjFx4sTDJl4yMzNx0003NUub5tRmg7Ndu3bhzjvvxE033YRu3brV2W7mzJl47LHHmq9jRNTkIs0r0zJl2nyy+IzOAAB7UhLsaiK/XWXCtHllHdPt6Joh55z1zJKPnVVR2V7p8dC2hKzwqn0fVVHYSm8AXvX5XpXt2qHmjq3fV479amJ/mcqOadscedw+lKtCsW6nfNSyZD53pT5p31cl/4j0e8ILwdb8PNJzImr72mRwVlBQgPHjx2PEiBF44YUX6m07bdo03H333frz8vLyWnVWiKj1qlmzymi26jXJbIlytbY1IUVfZWlPSgIAJKbG6Y85qs6YVUVbQ7vK647NSUaamsgfrLWfZfVqtKIqGVxtKnLqbferoGzT/goAwCH1vKLCow9ZVqrVllrNMZ/ToQ9VetV+iz41wT/SHpQMvKhVOoI6ZxSdNhecFRQUYOzYsejTpw8WLFgAi8VSb/v6qg8TERFRbJpj+6b2rk0FZ/v378fYsWPRq1cvLFq0iEEX0VEmNEumTezXjmnDlpb4ZNjTcuTnCbKqd3yiTc+UxasJ/tnq+dCuaeidKYcsA2r5UxdVIqNbqg3a3/Naxf4iVcaiymeCLyiHM387ILNj324pBACUVfngVBX33c4alfirvHA7ZFZMy5JVD1069bIX2gR/DbNk1GY0w8bn7V2bCc48Hg9OP/10lJWV4aKLLsL777+vnzvhhBPQo0ePFuwdERFRO9EMCwLauzYTnHm9Xhx77LEAgE8++STsXIcOHRicEbUxoVmymmUwTBYrrCHzyQDAHCcLyMYlpyBZVe7XJvhnZtj1Ehhd1fyyAR3lcv3BOYmwq7lmDk+NyfQCcKqyF9tL5AT9bcVyXtneEhcKK+Scsf1qH8sqlR2rqvTCpfa69LllG2+FzJK5HYXwqgn9wQiFYJkho7YutLBzLNdQ9NpMcJaUlIR33323pbtBRERE1KTaTHBGRG1bpP0ttUnCljg5J0xbcRmXkgVrvNpWSa2mjE+RWbKEZBuSEmSWbHBeKgBgVPd0fZWlT5W46JAo26THVf+Y0/a63KO2U9pdZsABlR37Rs0n269WWLqdPj07Vr3qUs0rKz0Ar5pHphWF1cpeBP1errako5uhAXPODJxzFgsGZ0TU6OobstT2t7QmpcGWKIMxbWK/Vrk/JSMecQny82RVuT83XQ5X9u6QiGSb/NHVQx3rnxkPtdUlilwyIPIG5HBlYZUf5Wpfyj8Oyon9a/aUAZDlL4pVoFahDV1WahP9vfpEfq/ax9LjkBuS+1yVdU7oZ0BGRzsOazY9BmdEREQUPdY5a3IMzojoiEUasgRkbSNrvJyYH6f2tYxTZTDiEqyIV0OPVpUx056nJlr1yv3Hd0kFAPTNlBm3BKsRTlWx36LSZUFRXb2/UJW42KeKwhZWebF+n5ygv1sVka3Uyl44vShXGTOPUxaDdZUeACCLxPq9aqiSE/uJqrGURpNjcEZERERRYxHapsfgjIgaJDRbpmXKtEKxcWkdAAC2xHTYkmTmTJvYn6TKYCQk25CpCsZmJcmisMO7yfIZGaosBgDkqjY5ifJ6k8GAoJBzyAoqZAZsX7kbDjWvbNUuWQB2n9rrsrjSq88nKy+Vj64K+eitKNHnk9W3nZKG2TIiag4MzogoKrWGLNVziz0R1iQZVCVkdQEAxCXIYCsp3a5vMh6vVlhqE/v7dUxCjgrKstW53hmqfpnZiBI1sb/KJx+15wEhsFMFWb/vl8OVWw9W6ntbljuqK/UDsnK/Foy51ZClq/QgABmIaQEXK/YTRYlFaJscgzMiIiKKHoOzJsfgjIh0NZe7hw5dhpbAAABrfIp6ng57ksx4aftbJqq9K3Mz45GohjOHqJpkgzrI+6TbLfCqzS6DQj7aTHLSsMkAuFXl/g2FcpixwiuHLXcccupDlkX6fpY+OIqq1OcyA+apkFk1d3lhrSFLLUvGif1EsTMYjTDEOME/1vbtHYMzIiIiip6hAZkzAzNnsWBwRtRORcqSace0if1mVbnfbE9EXLIshaFN8NeyZAnJcbCrEhgd1bGTe8u23VLtesX+TDX3rFuqnOBvNRpwqEpmw3aXyQxYUZUPgCyLse6AzHyt3in3rCxWxWFdlV64nVqhWNneXeWFq/SQPK+VwgjZ37JmgVhmy4iOgMEQe8V/g6Fp+nKUYp6RiIiIqBVh5ozoKFZfdkx7NFnUtkrxyTBr88rUfDLteWJqAuxJsp1WKDYnQ666zEmxI1eVx9C2UxqckwQASLYaUeKWWSptDpnLJx8rBbBNlbj4rUCWs9h6UM0vc/tQpFZkatkxbX9Ld5UXXqfchsmnymC4Sg/qBWMDao/L0OwYM2VEjchgbEDmjLmgWDA4I2rjYgnAzHEJesBl0va61Cb2JyQhPlkOS1pt8ro4VeIiLt6CVBWUjeqdCQAY1klelxJn1stdaJuPJ1jUxH6jQZ/0v6VYTtj3qz0v95W7sXa3nKi/XwVprpChyypVw8zrUhX8HXJjcrejEAGvDNQCqnI/Nxsnaj7CYISIMdiKtX17x+CMiIiIosfMWZNjcEbUBsSSHTNZ4/TsmCVOPSakqOfx+j6WNrv872+xyce4eAts6pw2sf/47ukAgKx4K1QCDF1UmYxeaigzzmxAkUtO7C9Vj3vL1YR9f1AvhfHD9mIAQJkqdVFc6tKHKrVHbX9Ln9MBn1t+rpXB8KvhytAsmYbZMqJmZDDEPsGfCwJiwuCMiIiIotcMG58XFRXh1VdfxU8//QSbzYZTTz0V1113HazW6q3dHn/8cXz22Wdh1w0YMACvvvpq2LHly5fj1VdfRWFhIYYOHYoHHngAGRkZMbdpTgzOiFqJmtmx0OP6lklq82Cz1a6XubBqWTH1aI1PCMuGAdAzYja7WT9nNcsflh1TZQasX8ckJKuCsdp2Ssdky9dIMBtR6lET+9WEfpc2wd8P7FPFYHeVyezWjkInAGB3sRN7VXHYKtXGqT+64XPKCf3ucjmfLDRLVlf5C2bJiI5ulZWVGD58OKZMmYLrrrsODocD06dPx0cffYSlS5fCoLJwmzdvRnJyMh588EH92uTk5LB7ffrppzj77LPx4IMPYvLkyXjuuecwZswYrFmzBnFxcVG3aW5RB2dffPFFTDceN25czJ0hqik0YNE+b81DWnUFWHWdj/T+tOFJfTPxuAS9Or/JKgMpS0KKvn+lVmMsPknVD4szw6QCLy0Ay1BtumYkIE+tqExTAZs2TJlsM8OrJuurB9jV9TazEUaPPLhX7WG5vVQ+L6ryYl2+DLKKK2XgVaICsEqHG+UqOHNVyBWWbjWx3+d0hNUiA8L3t2xN31ciqtbUCwLsdjvWr1+P+Ph4/Vi3bt0wevRo/PHHHxg0aJB+PDs7GyeffHKd95o2bRouv/xyPPbYYwCAU045BR07dsScOXNw/fXXR92muUUdnI0fPz6mGwu1HQsREREdRZp4QYDJZAoLzAAgJUWODLjd7rDjK1euxPjx45Geno6xY8fiuuuug0mNMBQVFeHXX3/F9OnT9fZpaWkYM2YMli1bhuuvvz6qNi0hpmHNaAMuAyf+0WFEm2EKfdSG9LQsS6TMSkOzLYfrT7RtjWar3s9a54wmmKwyS6VlwPRzFqte2iI0OwYAcQlxiEtQw5Jq2DEuwQKzKlsRHyf/G2ckysxZdpINOWpCfydVGkPLjsVbTPCpmf1xqtxFurreajKgWJ/Qr1Xsl19ri8mAfIf8ofjzLjn0WFghnxeVe/ShSq0UhlbB31VRoVfs9ziKAFTvbxm6ryWzZERtyBEEZ+Xl5WGHbTYbbDbbYS+fOXMmunbtisGDB+vHEhMTcfHFF2PUqFHYtWsXZsyYgQ8++ACffPIJDAYDdu/eDQDo3Llz2L06d+6MDRs2AEBUbVpC1MHZZZddFvVNY2lLREREbcgRBGd5eXlhh6dPn45HH3203kufeuopLFq0CF988UXYgoAXXnghbE7YSSedhCFDhmDp0qX405/+BJ9PFrCuOW/MbrfD65V/QEbTpiVEHZzNmzcv6pvG0pbah4iZMO3zGpkmEQiEFU0FqivVAyGTxlVFeBGonYEJzcTUN9G+zn5GyH4Z1Tmj2Qqj2RLW3qj112qvlRXTrw/JqlniZMpeK/pqMhv0jLM2X0yfuG8zIUFN0M9W7VPsFmQny782e2fJr03PtOphAK0obIZaEJAVL+8VEAKFaj9Lp7fG3D0B7FHZsT/UvpZaxf5Ktw9lat9Lt0s+elSWraLEBbfKsGn7W3oq5H6Y3srSsBIYALNkRG2dMBgaMOdM/nzLz88Pm7R/uKzZiy++iEceeQSLFi2qNbesZkA1ePBgZGdn49dff8Wf/vQnpKfLUkDFxcVh7YqLi/Vz0bRpCVytSU2qVi0utaG2KSTAqdnWaLbqE+C16vVGi1X/pa5twK1t3RMMBvRf/JG27qnZB40WUIX1L2RoseYChNBATPvcapfvR5uMb7GZ9JWRFpt2vRxG9PuC8KuAyKhN2FdtjCYjstVQZE6K+hoZ5Q+z1HgLhnSWX4fuafJchcePEhUcafXGOifJ13X6gtinRg4CaiqCR62srPQFsaVIrqTcrybvV7rlffaXuXHAIb9+WiDm8chzbqdPH7r0qWOuCnkfj6MQrtKD8j2qgJkT/IkokuTk5ForKusya9Ys3HfffVi4cCEmTpx42PYejwdlZWX6fLUePXogOTkZa9aswamnnqq3+/nnn3HeeedF3aYlNDg427BhA3744QeUlpbWOnfvvfceUaeIiIiolWqGHQJeeeUV3HPPPVi4cCH+9Kc/1TpfXl6OOXPm4KabboLJZILP58M999wDg8GAc889FwBgNptxxRVX4OWXX8aVV16JzMxMzJs3D7t378aVV14ZdZuW0KDg7KWXXsIdd9yBvLw8pKam1jrP4IyA8EyVVhbCGKl0hMqmRRpm1LJbVrsdRpVJ0rJOIpgGoDqTA0CfJB9U2SohhD5caFXDhAZ1HxEU+udalstsVZksg0F/HbMl/IdKMFC9MEY7pw1B2q0mfWK+psIts1Cp8VYcmyczYKlqYv9+VZbCZDTgxDz5frIT5bl8h8xUOdw+HJMlh3dzE+XrFLmqJ/ZrZS+0DcUdngC2lsislja8GWeS/dxZUoX1+7SyFzKr5VdZNa/HD6/Kxrm1IUynNsG/Cn41kV8vhaHKYPg9rlpDlsySER3FmniHgIKCAtxyyy3IzMzEzJkzMXPmTP3cY489htNPPx12ux07d+5Ehw4dkJeXh7179yItLQ0ffvghunfvrrd/4oknsH37dnTr1g15eXnYs2cPXn311bByHNG0aW4NCs7+8Y9/4L///S8uuOCCxu4PERERtWZNnDnLyMjAihUrIp7r168fAMBiseDZZ5/FjBkzsHnzZmRkZCA3N7dWtYiEhAQsXboUu3btQlFREfr27YukpKSY2zS3BgVn5eXlmDBhQmP3hY5CelkINYfMELKFhzbJPyGri2xjk1kyv68665KSKecOJKbY9Unn2twnk8oGmRNtMFvDM1hG9R/UYDTo2TGtvSbSzwptMn5SghVJqsREVY2J810zEtA7JzHsmFdln3JT7OiXKbNcDjWXa3ORzDhlJ9owrKP8D6915Y9Dqnq+L4DeGXLOWZpZ3ksImYGr8Pjh8cssWYVPPjo8Qb0avzaJP1Fl/bYVO7F6p5yQX6H6EFCZxCqnV8+OeVRGz1WhMmi+AHxu2Z9IWbKgyobVLGUSWhKDiI5+TV2E1maz1VtYNpTdbseQIUMO265bt27o1q3bEbdpLg3aJv7000/H0qVLG7svRERE1NoZjNX7a0b7EWumrZ1r8Jyz4cOHY/HixejZs2etNOLhapZQbdqcrNag5urEw6lrNaTJYoUlXq7KsaflAKh+nwGvS//cniSzawmqNERAZaEAIENlmrpmJmC/yhSVx8vrOneQGaqhXdP0zNDeUtnGruaeHdMxCRaVptLmd2lte2YmwKKyarvVvbUM2MCcZHRQ5Su2l8psklaQ9biOyeiRJrNcFWpLo20lsk2XFDt6psjXdgfl3DEtS2YzmZBiC/8BFa/mrFV4/Kj0au9bHiuokPfcWVqFUpXl0uaObT5UiT/U3DGtz9pjaHZMy0Jq2UaPy6dnxTyVMrumrXANeF0IeOXXKFKWrDVvm0VE1Ny8Xi8effRRGAwGTJs2DYmJifjnP/+Jnj17YtKkSUd07wYFZ8899xwOHTqEX3/9Fbt27ap1nsFZbAxGE2xJ6erz6l/eIhis0a72Xx6xtol0vq57hV5TMwALDeDqKlFhttphVe8rMVUGWVa7/CcXDAi9rIRW/T5RlZIwGAz6bhQd1bEeWQlIUSUqDsTLYGJEzwwAwMld0uEJyHttUmUiMlUAd1xOov7Hw0a1x6NPzaAfkJ2g7x25VZXCOKgmyQ/Iikemqg0WrwK9LcXy3hnxFn3oUQuktGFUXzAIP2Q/tTIWbhU0Haz0wmpWixHUmoKtxbJP+8vd2Kcq7mtBllZjTAtKAaBCTdT3evzwqwUAWgBWpRYQVFV64NXqjGnlRlSQFRqABSIMT2oYiBFRnZphtWZb8MYbb2Dx4sW46qqrMGnSJCxatAgbN26MaseDw2lQcDZ79mx89NFHUdUdISIioqMIgzMAwPr163HVVVfhvvvuw8knn4zJkyejU6dOjXLvBgVnFosFY8aMaZQOkJw03+0EOfnRaKoeItYyI1oRU23Su8lkREBlf/xqKEyb9B5a9kEr+aCVlTCZq+8taiTJjKbqbFXAH76HqlYoFaiuCh86aV+jlbGornBfuyCrTU3YT4wz68VPtVIOSaqafVKcWZ/IrjEZDXoWTe+XGuKzmg2IUwVttYxZthqSTIkz6cOY2hCm1nWTwQCr+nprmS+XOlnpC8Kuvv5aOQptaHFHiQtGyIUKZW6ZfcpXxVsPVHr07JtDlfhYp4YfD1V49D571ffvkBpqdXkD+tdB+36F0kpblKvsn7vKC09Fmfz6uWWGLaDKWfhdlfCqMheR9iFlVoyIjgiDMwCA3+/XV3WOHDkSd9xxB84//3yMHDnyiO/doODspJNOwgcffIApU6YccQeIiIio7TiS7ZuOJjfddBNSUlL055MmTcKnn36K3NzcI753g4KzlJQUXHXVVXj//ffRq1evWgsCnnjiiSPuWHuS1m0gHp0yFEB15sYdCOqTv20qE+ULVm/Fo2WBzKqNX2VifEGht7eZwq+r9PphUt8rreyCNlm+0uPXM0Q2symsjScQRKnaT3GfmnC/W82/KqvyITddZpGy1bwtLVOVnmjVJ+Zr12nzqbpnVU/G36LmVmlbDGUkWvUCqYVqHpajyofOapsircTFAVVCYneZG5kq66bNJ9tfIedfxVtM+n21+WjlKgMWEECSeo8bCmUftHlee8pcyFTZtwL1OjsK5fUmowEZ6pxWZsPh8urvT9v6yKlKVGgZSYvNpGcXNVoG0uPyo7LMHXZMm5Pn83j1SfxalsxTUQK/W/Yn0twxFoMloibDzBkAuZdnTWPHjm2UezcoOCsoKMCpp54Kh8OBNWvWNEpHYpGfn4+DBw+iT58+Ue/R1ZoF/V70yZArD7WVfQYD4A1oVe7lMbNWzd5o0AMubXhM24fRGjIs6g2ED4+ZDAaoZnpVef2cEdBG07SJ7FogZzUZ9EDKpQKdCo/8pZ9gNaGTqlrvVq9X4pLn0uJMsKuh1E3FKsBRqxqPyU5EggpUklW1/L1qaLBrqh1VakjxJ1Wvq8obgEUtZrCrgEoLlv44UI4uqTJw26YCMO2cfK/yXlrQpAWIKzYXVtf/UsGnz1M7mDHoNdPkc6PRgG21WqnX8gtUqvfhVBP0Q4eAtV0OtGFov1cFih4XAmpfSp8KwLSALOj3Ve8dGhKIhe5bqR0jIqK2r0HB2RdffNHY/YiK2+3GZZddhk8++QRdu3bF7t278eSTT+K2225rkf4QERG1O028fVNbcPfdd+PNN9+M+brnn38eV1999WHbNXjj87o89dRT+Otf/9rYtwUg99RatWoVtm/fjo4dO+KDDz7AX/7yF5xwwgkYMWJEk7xmTdHW/oqFq/QA+pX+AgCoWPk5AMC5vxiZo0cBACxd+gAA3GvldhbFv21G7vEDAQC2QbKNd/vvAIDCFd8juXtHAEDiqDMBAEFHMQCg6KtlMFnktzx97Bny/dhlxq78m0/hPCDbZY0+CQBg7iT3J3P/thJlW/IBAN1HnQgAMB0j24j8zXCu/REAkDlM9iWtr1zcYC7dgeCBnQCAIQPHAwDi1JBrXrIViQY1/Jchh0W14cfeGQn6/+N9Dm0YtUr/elnVPfaqLNzuIid6d5CTMrVhYZc3fEEBEJJdVNdrz4HqxQxajTW/L1hreNFVqe0z6dazVtqE+9BJ+TXLjWhtgn5vhMn4Qf1csOa5QP3DlMyUEVGL4LAmbrvtNlx00UUxX9ejR4+o2jUoOLv22msjHi8uLsby5cubLDibPXs2brrpJnTsKIOPc889FwMHDsTs2bObLTgjIiJqz5p6+6a2oHv37mEbrDe2BgVnlZWVtY7t3bsX33//PZ599tkj7lQkBQUFOHjwIIYNGxZ2/IQTTsDatWvrvM7j8cDj8ejPy8vLG/T6TZEx07gdRTjwv3cAAJ/+8xsAwC9lblx9lpzZ1OU0mSX75RWZOftgRykuGiQzZYOu3gMA2PahzLy9/fVujFH7UZ5+nyzhULZtHwDgP7N/RaLKGl1xo9wz0aaKwy55/hv8pia+Tz1zOwCg27hBAIAN767Cz5tkVm38ul0AgD6XyucHf/gNOz/fDAA49lr5dU7t2AsAENi7Bc5ffwYAJOfIf8Rp8fIx0eCDqeIQACDBIncP0KrlJ1mNsKvPtUUGOwqd8KkskzZPrFzN6XIUV+mT732qfEVQzZuLT7TqpUEcKvsWVNmx5Mx4xCeqif0qK1alKukbTQaY1dw2rdp+xaGDAGSmU8+c+WX2z6+q7ItgoM5/K4c7V1cmLNJxZs2IqMUwc9bkGhScvfvuuxGPz5kzB//3f/+Hu+6664g6FUlJiZwYnpGREXY8IyNDPxfJzJkz8dhjjzV6f4iIiNojWUojtjlkR2Mpjccffxx9+/bVhzfnzZuHvLw8nHLKKXqbO++8E4MGDcI111wT070bNZQ9//zz8cMPPzTmLXUWi1zR53a7w467XC5YrXXvSzlt2jQ4HA79Iz8/v0n6R0RERO3Hvn37wpJDK1euxMaNG8PauN1u+Hy+mO/dqAsCtm/fjr59+zbmLXV5eXkwGo3Yt29f2PF9+/ahS5cudV5ns9kaZZ+rWDcDj0VcSiZyLhwHADi/o8wMnhVhQcCYrp0BAAN+24zMGgsCkgbI57kn1V4QkK4WBNzTvWOdCwIuzk7D2XUsCBjeOQu91YKAzBoLAnK79EFaH7kgIFEtCAgky2FKc64Xiapyvy9TDnWWlshhw0SrFYlJ2QAAp0PtDanKZ1R4g6hUnx9S9cpMRoNeSsNrVMOSKfL7mpBkrbUgoNJd+z9DZoYst6ENi5qMBv3zmjsshC4I0PYDTcruAACwJKS0+IIAg9HEoU0iahFCVJd4iuUail6DgrNnnnmm1jGHw4E5c+Zg/PjxYefvvffehvcuRHx8PE466SQsWbJE35nA6XTiiy++4EbrREREzSQohD6vN5ZrKHoNCs7mzZsX8XhaWhpWr16N1atX68caKzgDgBkzZmD8+PGYNm0aRo4ciRdffBHZ2dm4/vrrG+01DqcpshX2tBxsSjsOAGA6Rz4aDEBJzSK0o48BAFhOMWBnzSK0g2TG0jrkQmhFJ/QitGp3CdPVp+lFaAtrFqE97zi9CG1pzSK044bBcob8fGfNIrR5HdGpv8z6FWlFaCtVEdqkHrCn9QQAbDokJ8xrRWiB6iK0W4orZJ+cMku2tdioZ9H2lsjrtD0pgeoistrOBD2yEqIqQqtV89eut5qNeuZMy5Jp+5EajQZY1T6gNlUkN1Ht7Wk0Vm/XUROL0BLR0U6oj1ivoeg1KDj79ddfG7kb0TnllFPw9ddfY9asWVi1ahUGDRqEuXPnIjExsUX6Q0RE1N4ERfWOMrFcczR67rnn9EWSW7ZswVdffRW2aHLLli0YMmRIzPeNOjjbu3dv1Jt5xtI2VqNGjcKoUaOa5N4txWi2Yovaq7It763ZMUVmlrTMVH17azo8/jr31qx0+/W9NUtUNq1rRoJeSsOlMmDa6w3MSdb31tTe+6COcluvnunx+n1/2S/LqGh7a/bPTqpzb83sZFvD99ZMkuecKdxbk4joaDVy5MiwRYrdunWr1aZbt24NmosfdXCWl5en/5JpzLYElO76A4/Ok8GsMWRvTL8a2hMquDJbVWV7kxEBFYz5vfKx5oR2oHqILqhNgDdX31vUGNY0mgz690yrC6ax2qoDCo+q+RU6VLdVPWqBh0kFSBabCTa7Rf8cAGxqqHB7YSUq3epeKnhKUgFWidODCnVO2+Q8Jd6iB2Xaud4dZMa0a2ocjFD7jqpgM1sFT91TrdX7Z/oS1KO8z7EdEpFoDQ+AU1T/BuUkIStefp7vkMHP72ly+LVjog29VEBapvry24Fy/fVzEuVCBYequbZun6w3d6jCow/PasPRh8rlf2yXzazXXAtG+BPTrfYFLS+qUs9z4akok1+/kMUIgBwO9VbJ/gRrBG41P4/0nIioPkKImH/HH40xwZVXXokrr7yySe4d07DmE0880SSdICIioraBw5pNL+rgbNiwYViwYEHUbSl6Aa8Lu1atBAAYjNWZL63Mgib0XEPbRDpf171Cr9HKQ9QsE2EwmmqVFzFaZAbIbLXDmpQOAEhUOxFoZSkOBIQ+bBeXIDNmgXQ5qd9R6dX/ytIyZ4GgwCFVvf+AmnDfVe2E4PULeAIyS1VUFT5JPjfJCoMayvXV+OkQEEJfNKGtJNKGYRMtRiSoLGS8OpamFgb0SLeji0zCIckm32uJS/a9Q6IVvdJk5syj7q0NuTrcfvRS+4hqf0SuVUOt+8vdSFTvVRv61YZY95e5kKKyalp2zevxw+9LBVCdxaxSCxCqKj3wVsjaO94qmbXTMmgBrwsBr8zWRRoO1TC7RkT1YazVtKIOzkJXYBIREVH71JyZM7/fD5PJpP+RHYkQAh6PB3FxcU3eRnP33XfjzTffPGy7mp5//nlcffXVh23XqEVoqWFEMABPRd1bUDW3WAvu1syqaUwWKyzqffldsjCt0SwzPwGvS/88mJ2lrpf/+QL+6gyeNo/NajZhf5nMmGl7ampzyVzegP75XrXwQMuAHar06PPQ9qv5XVrb0EUJu8vCFyxYTEZ0UPPWtpfKeV5aVq5DohUpNvmft8Kjishqk/6NRpih5gOqHyZx2ny2FDu6p4TvZlHplZm0ZJsZg9QcOm0e3IZC+bq/7i9Hqpq7py0S2XyoEn+ouWxan71Zak6d0wuvS5b70LJqTpV19Lh8+uICT6X83gTUvqChWbVgjQK6kfb+ZDaNqH1q6jlnQggsWLAAzz33HNatWwcAGDNmDJ5//nn069dPbxcMBvHAAw/g3//+N6qqqtC7d2+88sorOPXUUxu9TU233Xabvm1TLHr06BFVOwZnrUTNmlWtwZH+8g14TfrQmfZLP3RY1ZIgAwizXQYl2jBn6GID7T+02+mDWwVHWqBRqob91v9xSF8sYVET+o0qMPr+9wN60GcyhQ/pRtqHV1vM8F1CkT6kqq3I1Gw9UIneOeHlW7QAqcIbQEDIIMmhFgtsLlIrQBNtyEmUQZbWFa2em8lo0IOyNLM81klt+u5wx6NPhrxndoLs0+CcZPTITAh7r9rq2m3FTqzeKQMvbfFEoKNaFBESuHnccocGl9o03u8LwOeWAaEWwLkdhQAAX1V5xIBNe2SgRkSNpaKiAv/73//wwgsv4LjjjkNlZSWuvfZanHnmmdi4cSPi4+UftU8++STeeOMNfPnllzj22GPx+OOPY9KkSdi0aZNeMaKx2tTUvXt3dO/evcm+BtwmnoiIiKIWbOBHtJKTk/Hee+9hxIgRsFgsSEtLwz/+8Q/s2bNHr7MqhMC//vUv3HrrrRg+fDhsNhsee+wxJCQk4PXXX2/UNi2BmTNqUlrVe41JLRYwGE16dqby4E79mN5OG/L0yyFPp8OjV9c3quyWVk7EV+XXr9OGQbVyFEIIfa6CVvFfy6SJoNA/10p9mFX2yVXhRZF6ndDyJABQWFSF1ZsLw85pGTu71YSMxPC9XCtUXbXUeCt2qiHSVLW4QBtqNRkN+oKDbJVd26syhEEhYFNlUJIs8tFjM6Kb2hUhM15+rbLiZd+PyU5AnjqnlQ3RhkN3llRhvRoO1WrJaaVMvB4/vC5ZH04r3eF2dlSPVRGzaQDg97j0zC/rqxEd/Vpib809e/YAADIzMwEAu3fvxoEDBzB69Gi9jclkwqhRo/DTTz81apuW0KDM2XnnnYePPvoIgQB/ABMREbUn2oKAWD8AoLy8POzD4/Ec9vWcTifuvvtujB8/Hn369AEAHDp0CEB1sKbJzs7WzzVWm5bQoMyZxWLBBRdcgPT0dFxxxRWYOnWq/gUj0ohgQM+GaZkVg0kVqjWa9OyKlpHR2hrN1urMmZrf5EVIVkb9UeDTykSE7DOpTW4PzdzUtWBBK/kRek57XZPVHrFsiHad9rnVLjNU8Wp+mMVmQkmNwrtaEeEDh5z4Y0uReo/y7yKtwK/RZNTnieWk2NXXSGbJUuMt+qIGl1+eq/D4UaHmwql1BLCrLF4QQO90OR/NqjJuaep1juuUjH7Z8oL9lfKHolYMeH+ZWy9TUqYyZx5VSNftTISzXM5V82V3kH2pkDsUeByFcJUeBAD4VaZU+76FzqVkNo3o6HAkCwLy8vLCjk+fPh2PPvpondd5vV5ceOGF8Hg8mDt3bq3zwRoloPx+f62VnY3Vpjk1KHP23//+FwUFBZg2bRo+++wz9O3bF6NHj8bs2bPhdDoPfwMiIiJqk45kzll+fj4cDof+MW3atDpfx+v14oILLtD3rOzQoYN+rnPnzgCAgwcPhl1z6NAhdOrUqVHbtIQGzzlLT0/Hbbfdhttuuw1r167Fm2++iRtvvBG33347Jk+ejDvvvBMDBw5szL5SG1QzW6JltoI+b3VGyxSe0RKBALyVpQAAc5zMJmkrOgHAWyHPaVkaEai9l2SkzFlNkY7X1ScAMIZk9oxmS1j70pDCuyarPeLrGc1W/b6WOLnaKD5ZluQwmQ0oU3t3bjeHz2Oz2kz4cXsxACBbtU+xW5CdLLN12rwypyrLEXrMbgnfc9RsMqCPWuXZWd0rQc2zEwLYo/YR/UNtR6UVwq10+/Rsmlvts+pxyftUlCTBnSVXNLlK5TCAVhrGW1kKv/Y9rzEvjYjan+TkZCQnJx+2nc/nw4UXXogNGzZg+fLltVZNdu7cGd27d8eXX36JCRMmAJDB3IoVK/Dggw82apuWcMQLAgoKCvDZZ5/h888/h9FoxDnnnIM9e/Zg8ODBeOqpp3DPPfc0Rj+pjasZNB2uhpr2i1z7xW6oKNUDm0ilHGq+TqTXrk+0Nd0O1zY0AKt1zmiCyaqCMRXAlWnnLNawIVWgutRIXEKcvotCsVo0EJdg0Rc//BgnAzdtIUJ2kg05qfJ1OqkArIvaJD7eYoJP7VygBWXpqmSI1WSA1RRem21oJ9kHi8mAfBW4/bxLBseFFfJ5UbJNL2/iUgsRtIUErooKuEoPAAA8Djmk61PD2NygnahtEmjAgoAY2vr9flx88cVYs2YNPv30UyQmJqKsrAwAkJCQAIv6o3PatGm44447cOKJJ2Lo0KH4+9//DqvVimuvvVa/V2O1aW4NCs58Ph8+/PBDvPnmm/j0008xcOBA3HbbbZgyZQpSU1MBAF999RXOO+88BmdERERHkaAQeuHtWK6JVkFBAb788ksAwMknnxx27s0338R5550HALjuuuvg8/kwffp0FBcXY+jQofj666+Rnp6ut2+sNs3NIBqwVXxWVhY8Hg8uueQSXHvttRg+fHjEdrm5udi7d+8Rd7IxlZeXIyUlBeZBl8Fgsh7+AmpRoVmqmhP0Na0p63K4DFzN85Hen1ZuRNtBwRyXAIsa1g3NqsUlyGyYXdt3Uy1KsMaZ9WK6VvWYodp0zUhAXroc/kxTCxe0rFqyzQyvKk+iHpClit7azUYccsrFAVuK1UIA1aioyot1+Vp5DplBK1GZtEqHG+VFsnyIq6ICQEgpDqcDXlWOgwsIiCITAS/8v8+Hw+GIajiwKWm/P3/dsRdJSbH1paKiHEN65LaK99EWNChz9uSTT2Ly5MlISEiot11rC8yIiIjoyDTn3prtVYOCs6lTpzZ2P4giOtx8stbmcH2s77yWOatZuNdQUaJn0bT5bGarHeY4VS5DzU3T5qhZ4xP0xQRx8TI7ppX32HOwsnqhgcqqdVTzxPp1TEKyVghX7SuaaFNbRAEIqlkjuWoeW5q9+sfHMVkys7dL7VG6Qy1u2F3sxF6Vmasql/dylqepRzd8Tplxc5fLbJq+2MPjqnORR1v4d0B0VGtAEdqYJp0Rdwggai3qCjoi7V0Z8LjgVYGNVmNMGw41WeP01a2WOPWoBXBx8bCqQM2mgqtCtSJzS34ZbOpcR7WgYE93OeciK94KtY5AHwbtlCRfL85sQEDIIdV4tUhhUHYSAMDtD2JDobz/D2rFaZnaI7W41IXKMhmwVZbJ1/E4ZVuf0wGfW34eGrABcuizNQ9tExEdKQZnREREFLUghJ5Jj+Uaih6DM6I2oL5MUc3hUIOrEgaVbaq5yMAcl6Bn1bTSHZZ4NRyakKTXXStV2bQde+WE/bh4C1LVooJRvcO3OUmJM+t11bTMWQdV+sNqMiBFlerQFiD41UKCfeVurN0t+7m/RPbdVZmkHjNQVSEXFXhd8pxHLSRwOwoR8MoyHoGQhQQc9iRqHi2xt2Z7w+CMiIiIosYFAU2PwRlRGxdLVs3nqoRBFYOtmVWzxCejQmXVrCqbpmXZElMTUK7mmBWVynv9lCHnkOWk2JGbLhcV9FBlOhKtMgNmMhj1wrZ9MuS5FLXPZ0CkoL+am/ZbgZw/p+1IUOH26a/jdso+VJapeWxVufA6ZVkObX9VV+lBfceISPurMptG1HiYOWt6DM6IjmIxB27qmNkmgy1tRaizMBFxyVkAAJuqb+QolvXL9ibHYb0a8tQWEhRVybbdUu3wqT+ZM9XK0ZxENeRpNKCXCuosapP3EV3kSs5AUGCd2kJK2xC+WLV1VXrhdsp+uZ0Z8jErV986StuRILSGGld8EjUezjlreg3a+JyIiIiImgYzZ0TtVKSsmpY586pK/do+mAZHkb43pjVJZreqitVCgqR02JNkVsuhMmd71a4AuZnxSFS104bkpQKo3sYl3W6BV9Xn6KAyb1kqu2YxApnx8li22jO0wit3KNhxyIl9pfL+RWonAneVDw7Vzp3RAQDgqZCZM3d5oV6OQ3s/oZuwM4tGFBsOazY9BmdEREQUtabeW5MYnBFRiPrmqAVrZNOqjAUAAIs9EU6VTXNldQEAVJTIDFqlw63vUrDjkLxulVo00K9jEnKSZDttR4JktVjAaDAiTu1goO0+kGCV507plo6darHA7/tldmzrwUocUlm7coeWTdN2JEiHq0ItLlDz0bTCvT5Xpf4eQ/f1jPS1ICIpEKzefzeWayh6DM6IiIgoasycNT0GZ0QUFS2TpBe7VfPTgn6vnk3T5qXFpcl5X86SdH11p03NPXOky+t3HapEZrKcJ5alMmjDu8kMXIaabwYAuapNul2V/jAYYDLI1Z1a0dvjOqfA4ZFz0lbtkvPLtHlpxZVeVKgit+VqblxcWg4AwFtRAq8qx1FzXlqk+WjMphHJQCvA4KxJMTgjogYJLUtRc2hQ2wfTacqHNV4GZ3EpsrxGVaUMjOISrChTCwH2qN0DNu6TgVJqohVdM+Sw5PFdUgEAgaA2vGmEyyfHSLTh0Ay7GUL98O+oFgbsK5e7CBRWebF+nxz+3F0kN2Sv1BYSOFNQrgI3bV9PvRRHRaleOy3oq15AUPM9ExE1NgZnREREFDW5Q0CsmbMm6sxRisEZER2x+oq8ahX7PWrYsKpYLiSwJqXBlpgOALAkyLIcNpVBq8yI13cI2HpQ7gaQqxYS9O6QiGSb/NGl7UiQFW+GSRWyzVLZNG1PT6vJiBG5qQCAP9S91uwpAwAcKnfrxW0rSuRjVZrsi9vphc+phjzV0Kc2bOtzVda5gIAZNTracUFA02NwRkRERFHjgoCmx+CMiBpdpH0ta85L87kq9SyaRW0TZU2SmbQqRxas8fJYkVpIcCBFziXbmF+GJJUdG6wK23r86friAG27qOrCtmZkxcsfdVp5Dq2wrdFgwIEKOTftmy2FAID9ZfK52+mDq1Lb11NuE+XJ6CzPlR6AV2XV/G45j02bZxf0194uiuhoEmjAgoBY27d3DM6IqFlEM/TpdcqJ+67iAlgT5cpNqxryLC+UgVJccgqS1VBkaakMpP7Y50CqWuHZVW2wPqCjXIhgNSXCroIybeize5q8PtNuhjtLttdWiG4rlsHW3hIXClXgtl8tGqhSCwmq0hPhqpSf+9yyjbdC7gHqdhSG7etZ8z0zYKO2LojY55BxVDM2bXJvTafTCY/H09LdICIiImp0bSpzNn/+fDzzzDPYvn07fD4fjj32WLz00ksYPnx4S3eNiGJU39BnwOvShwm1av5mm5qwH58MV5ksx6EtJCg9aEOi2iFgt9qJYJPaPWBH1zT0zpRDpGorT3RJkW2z4s1IsMi/UXuqxQXpalHCqd0z4AvKv/d/OyAXEnyrhj7LqnxwOmVWzO30AQCc5TJT567qBLdDLn7wVMpsmrawwOd26tk07khAbVUgKBCIMXUWa/v2rs1kzgKBAD755BO89dZbcDgcKCsrw+DBgzFhwgSUlJS0dPeIiIjaBaEWBMTyITjnLCZtJnNmMpkwb948/bnNZsOjjz6K//znP/j5559x5plntmDviKgxhM1Dq7ETgfbc56qEu1yWtLCpeWmuhBRUlMjFBPakJABAucqkHSiuwlo1D82q5p4N7Sqvq/QmI00tONBWk2XGawsJTHpfLEZ5XaLVrLfdr4rcbtovs2qH1POKCg9clTJTV1mWCQDwuGR2zed06Nm0+nYk4IICas0CojoLHcs1DfHDDz9g+/btmDhxItLT08POff/999ixY0fYsaysrFrxgN/vx3fffYfCwkIMGTIEvXr1qvU60bRpTm0mOItk27ZtAICcnJwW7gkREVH70BylND788EM89NBD8Hq92LRpE37++edawdnLL7+MH374ASNHjtSP9erVKyw4O3ToEMaNG4eKigr07dsX3377Le6991489thjMbVpbi0anJWWlsLpdNbbpmPHjjCZTLWOV1VV4fbbb8fYsWMxePDgOq/3eDxhiwfKy8sb3mEianY1s0cBr0ufrxUImZemz0lLkdkqlyp7UVmWBEex3GfTrkpo7C2Sz1enl+jbRPXMko+dk2XGzWqKh0q0waY+GdRBrhhNsZngVXNodnWS8952qL081+8rx36H7FdZhuynxyX3/fS4k1FeJMtyuJ2yffV8tEr9/fjUak9t3l2k+Xl1PSdqas0x58zn82HOnDmw2Wzo379/ne1Gjx6Nt956q87z9957L4xGIzZs2AC73Y5ly5bhjDPOwFlnnaUHddG0aW4tGpw9/vjjeO+99+pts3LlSnTr1i3smNfrxQUXXICqqip8+umn9V4/c+bMFo1+iajxRRr2q7mvp1bN35mYBpuqn2ZT+3vqOxE43ChQgdtGtYBAK8kxtGsqOqhgTquhppXgSLSa9LpNuSqYS7LJNoNzkuD2y4UEu8pkX37ZXQYA2O9woUQtRtBqqPl9WrDmg1MNjWoBmzYEGvR5q9+fqqsWCCnTEU3AxiCO2pLzzjsPALBp06Z62xUWFmLhwoVIT0/H0KFDkZqaqp/zer1YsGABnn32Wdjt8v/u+PHjMWDAAMyfPx8jR46Mqk1LaNHg7LnnnsNzzz0X0zVaYLZlyxYsX778sEOa06ZNw913360/Ly8vR15eXoP6S0RE1N4dybBmzdErm80Gm83W4L788ssvMJvN2LVrF3bv3o1Zs2bhsssuAyCnPrlcLgwcODDsmkGDBuH333+Puk1LaFNzznw+Hy688EJs2LABy5cvR25u7mGvOdJvPBG1DbV2IFDP/R6XXo7DYs8HANi0oc+KHNiT5HBmqcqmxcXLx10HK5ChslwdU+Rf1Cf1kBm4shQ7LCZZ0Fb7pZOqFhZk2qunYWiLCzomVv8MKqqSiwN+2imzYnvVcKjLG4CzQpXnqJKLGnyejvK50wuvRw6N+tUCAp/a79PvdenlOQJet/41CEQogBv6WN/XkKg+R7IgoGZyZPr06Xj00Ucb1I9rr70Ws2fPhsUi/+898cQTuOaaazB8+HD06dMHDof8P5KWlhZ2XXp6OjZu3AgAUbVpCW0mOAsGg7j44ovx448/YvHixQCAvXv3ApBfxPj4+JbsHhERUbtwJJmz/Px8JCcn68ePJHly6qmnhj3/61//iscffxzLli1Dnz599GHKysrKsHYVFRX6uWjatIQ2E5w5HA789NNPsFgsuOCCC8LOPf3007jkkktaqGdE1JpEyhBp5ThC9/UEAHfpQVTGy18U2rw0bX9Pm92GSrVN1MF4md3aelCWzchItCJHZdN6ZMvMW79MOYcswWKHQSbV9F9IuSFFbz1+rWSH/GvfoTJiNpMRe9RCgu+3yvlyh9Q+nwDg86hMoC9VPZdTOtxOH9xVKnPmr86u+d3yPfpVCRJtsUHA60ZAfR1EoHZWra7sGbNqpAkGBYIxTvDX2icnJ4cFZ43JaDTCbrejqEj+/+nevTsMBgN2796NE088UW+3e/du9OjRI+o2LaHNBGdpaWl6poyIKBZ1De0F/d7qQE3VTjOZ5VCkLSUTTlU7LS5FDnlYbPJHZnGyDfuS5V/8WsC2Xu0wMCQvFSlxsp1HLQzoreqs5SRYYFc/dbVVobkqkEuzmdBfrRjtmCTPlar6aHFmIw6pvTzX5ZcBAArUfp+B9CAC/vCdC4OBLL22mlPtB+p2akOfocOg8h6hAZw2NKod0wK40K9bJE25ijTWe2nBeHNpb4FrsAHDmo29QYDX64XD4UBWVpZ+bPny5SguLsaIESMAACkpKRg1ahTee+89TJ48GYDM3H333XeYM2dO1G1aQpsJzoiIiKh92LJlC1atWoX9+/cDAD755BNs2rQJw4YNQ//+/eHxeDBmzBicddZZ6NevH3bu3IlZs2bh0ksvxVlnnaXf59lnn8Wpp56Kq666CkOHDsWrr76Kk046SQ/Eom3T3Ayine2pUF5ejpSUFJgHXQaDydrS3SGiFlYzy6I9NxhNeu00c5zMaGlDn+a4RNiSUgEA8SoDlqAyafZEK1IS5c8Wk1GmxYZ3l9eN7JIGoxrz1IYzc9V1OYkWaD+Ni1RdNK02VKLVBK9KVewolRmtfeXVQ55uv8zc7Fb123YXO+FQCw986nUC/to/6v0+eZ2rUmbSnOVueCrkajotqxaabQzWkYEUgYA+ZBz0+9Sjeh4MhGXfYtHQjFRzZc6i6V+knR9ieo2AF/7f58PhcDTZcGC0tN+fryxfD3tiUkzXuiorcNOpA6J+H8uWLcPbb79d6/ill16KiRMnApDzxObMmYN169YhIyMDp512Gk4//fRa12zatAmzZ89GcXExhg4dimuvvbbWXLdo2jQnZs6IiIgoagEh9Dp/sVwTi/Hjx2P8+PH1tklMTMTNN9982Hv169cPTz755BG3aU4MzoioXatrrpTBaIK3xgICj9oP02AywaoWEjhVNq0iTU7Qt9ltKFPZsLgEmUH7TM37Wru7FImq5Eaimr82qLO8T4/0eCSpvTu1X2Ra8VuL0QC72qWgd4bM5mkZN6vJCJWgQ1muzJLtK3fr89V8KvvmUM8PlXtQWCGzbsUqY1aVIPsUn2yD3ycXNmgZPoN2cwBC3cvjlvfSdj7wunzwe+V7DEYo4dHQMh7BGOaxhWbLjCHZz0jn67ou2v7VbBeMcE57DHhc+r8bbZFGW3ckCwIoOgzOiIiIKGoBNKDOWZP05OjF4IyIKIJImZLQY1ppCi0rUlVcAACwxCfDYpfZpziVTYtLkPPSypNtiFcZL7PKim1S20aFlufIVSU8MlQR2zS7RS+9UZ1NM6pHA2xmmd2ymWSb1DgzAmoBp1bWQxtVqvD6cUit3HS4ZearSs09c3r9KFHZtGLVplJlyaq8AVSq9h41j03LnMm5a3IOkpZxM1tlP40mA0zaJqX611N2JuAXCKiOBtWKU+25CMnO1Dc12mAwhD03Gg16tk97NBoMYRnA0HOR+hXpeWhdL+14zfah2SG/T76PyjIXHHs2AACq9Hl53jrfT1vQHBuft3cMzoiIolRfwBZaQ00bKtMCNm1HgsrEdFgS5Ebp2v6e+j6fqXHYr8pjrN8nr9cWFFjNRn2D9t45MvBLV8OjNrMRKerzNPVotxhhVqN1JhW8WNS94i0WZKjX9OnBT/V79AVlUFGh6qppCxcqvX69NIhbf5RtKt1+uLzy8yr16NWCLVG9SXbNR68/oN/TVfM6f1APymoGQaFqBV0hwZox5FykYKwukV4v0rBcfUGj31sdZDpVsE4ULQZnREREFLXmWBDQ3jE4IyI6AtHsSOBXQ6BVxQV6kVutPEdciiyi6UhK14c/tSFPm6pYa7GZUaxKaPyhitDGq0K3JqMBqWr4s4cqYts1PR6JaljRYpJDitpwaIrNrH9eM7tmNAB2yIPa9dmJMssmBPShUk0Q1Zk3n5qE5FFlM7TnASH0z2sObQUE4FM31bJ4/kCw+pzK4kUzmTw0S2aqOdRpCD1X+9r65k/V7nN0QUaFyjh+v7UITlX2pPLALnnPtj6sGazOhsZyDUWPwRkRERFFLdCA4CzW9u0dgzMiokZW13ZRABBQWTW9PEelXFBgMlv1bJpVzUszqiybyWqHLUntAarNK0tSGTiLCYVqwv32fQ55vc2sZ9biVQYsRWXXOqbEIS9NLjhIVveKU9cbDQb983hLeMbNYjRCJeH0RQZGVE/0V+sVAMRWAFZLRGlZuNDj2u/zWEbEDHVMLYthylnErYZiHZWr8KoyI/4g1v9xSPbN1LzbSjUVBmdNj8EZEVETq7dGlhriChhN1ft8OuQ+n9ovc6PRVGuXAi1wMxhNMKmdDCxxcg9Pe6JN37FA2w+0wOgEAGwE9NWTNnUuVUVWdqsZdhXMpapFA1nqPgnW6uFQm7l6pSggh07jah3TFiIY9WFF7Vh1cFc7YooUXNUVcMVCiw20IC3aWKG+oKy+ftUcWj2aBIKxB1s1h8SpfsbDNyEiIiKi5sLMGRFRCwod+qxvT0h/jbpqoUNkNRcZVNgTYbbKbJqWYTNa5KMlLh5WlRVLTJULENyJ1UOkWskJbd9NrSSEwVi9UCFRZdqS1NCp3WqGVWXO7DWya1azUT9X89FkNOj12rSJ+trE/kiZJ2OU2aiG1tSKZrJ/fRmx0P5VqmHNtbtL4aqUuyc0dI/R1obDmk2PwRkRERFFjcFZ02NwRkTUStS3t2PAKzNnkbJrfvXodcoFAVq2DKjOsJn0xQVxeiFch8qumbQsm8UKszV8BwMtk2azW2BVpT18qkBtpU27t1EvmOtXRWT1zJsvWKuMgpYdMxgMMJnDq/lrRWSNEWbw11dINtrCsY2pZh8NRoPeD+39lxVWoeLgbtXHoyNzxlIaTY/BGRFRGxLN5tyR2mgBnMFo0hccaEOdoRuFG81yyFIL2LTFBiazNWwRQtijyVQraAxtoy1AMKnlnkb13GwxwaxWhdZsYzDW3nIpNBiq+cs+dEulYISdBbTP6wsSogkIDUZDreHVSEGjFpy5nV590cfREpyF7voQyzUUPQZnREREFDUOazY9BmdEREeZaLJrQO1K9aHZr5rZsbB2Nep1GY2m2tk0o1F/HinTVvOcqUZWLtJrhz6v+R7r3fe0nlImdd0/9L3V1aa+BRza6/jclXCVHjzsaxOFYnBGREREUWPmrOkxOCMiaqfqyz5p6ssO1Sfa6+rLjjVUNBmqI3mvsfRRBANH3Zwzf1DAFGOw5WdwFhMGZ0RERBQ1Zs6aHoMzIiKqU0OzPUdLlohqYymNpsfgjIiIiKIWECLm0hgspREb7q1JRERE1Iowc0ZERERR45yzpsfgjIiIiKLWXMFZfn4+Xn/9dWzfvh2PP/44unfvXqvN5s2b8dZbb6GwsBBDhw7FtddeC5vN1iRtmhOHNYmIiChqWnAW60cs/vGPf2D06NHYv38/5s+fj+Li4lptVq1ahaFDh2L//v0YOHAgZs2ahTPOOAOBQKDR2zQ3gxDta5ZeeXk5UlJSYB50GQwm6+EvICIiaiEi4IX/9/lwOBxITk5u0b5ovz8veu1rWO2JMV3rdVXivevHRv0+tm7dih49emDr1q3o378/fv75Zxx//PFhbcaMGYPMzEwsWrQIgMy0de/eHXPnzsUll1zSqG2aGzNnRERE1Kr07t0bJlPdxX4dDgdWrlyJyZMn68fy8vIwatQofPTRR43apiVwzhkRERFF7UjqnJWXl4cdt9lsDZrbtXPnTggh0LVr17DjXbt2xdatWxu1TUtg5oyIiIiidiRzzvLy8pCSkqJ/zJw5s0F9cLlcAIDExPDh1aSkJP1cY7VpCcycERERUdT8QcAQ896a8jE/Pz9szllDV0SmpKQAAEpLS8OOl5SU6Ocaq01LYOaMiIiIonYkmbPk5OSwj4YGZ7169YLdbscff/wRdvz333/HoEGDGrVNS2BwRkRERFFrjlIah2O1WnH++efjtdde04cfly1bhvXr1+PSSy9t1DYtgcOaRERE1KosW7YMb7/9tr6A4JFHHkF6ejouvfRSTJw4EQDw7LPPYty4cRgwYAD69u2LFStW4OGHH8ZJJ52k36ex2jS3Nlvn7MEHH8RTTz2FO+64A88++2zU17HOGRERtRWtsc7ZuOc+h8WeENO1PpcTX9x9RtTvY8uWLVi1alWt48OGDUP//v31536/H99++y2Ki4sxePBg9O7du9Y1jdWmObXJzNkXX3yBRYsWoUePHi1awZeIiKi9OZJSGtHq06cP+vTpc9h2ZrMZY8eObZY2zanNzTk7dOgQpk6dirlz5yI+Pr6lu0NERNSutIY5Z0e7NpU5E0LgiiuuwA033IDhw4e3dHeIiIjaHSEERIzBVhudQdVi2lRw9vTTT8PpdOKBBx6I+hqPxwOPx6M/r1mdmIiIiKIXDIqYhyljbd/eteiw5jXXXAOz2Vzvx/bt2wEAa9aswdNPP425c+fWu99WTTNnzgyrRpyXl9dUb4eIiIjoiLXoas1gMIhgMFhvG7NZJvdeeukl3H777TAaq+PJQCAAg8EAo9EIj8cTMWiLlDnLy8vjak0iImr1WuNqzVH/+BjmuNhWa/rdTnz34J9axftoC1o0c2Y0Gg+bOdPccsst8Hq9cLvd+sfgwYNx2223we1215lNs9lstSoSExERUcOIoGjQB0Wvzcw5MxgMYcHa4Y4TERFR4+Ocs6bHqIaIiIiiJoLyI9ZrKHptOjhbs2YNDAZDS3eDiIio3RBCxFwag6U0YtOmg7NYVm0SERERtQVtOjgjIiKi5sU5Z02PwRkRERFFrSGrL7laMzYMzoiIiCh6DSmNweAsJgzOiIiIKGpBIWCIcYJ/kAsCYsLgjIiIiKLGjc+bXovuEEBERERE4Zg5IyIioqhxQUDTY3BGREREUQsGAUPMpTSaqDNHKQZnREREFDXuEND0GJwRERFR1Li3ZtNjcEZERERRCwZFA4Y1mTmLBVdrEhEREbUizJwRERFR1Lhas+kxc0ZERERR04KzWD9iccMNNyA1NTXsY/z48bXavfzyyxg0aBBycnIwYcIErF+/vkFtWhsGZ0RERBS1oBAN+oiF0+nExIkTsWvXLv3j/fffD2vzn//8B/feey8eeeQRrFy5EtnZ2TjttNNQUlISU5vWiMEZERERRa05MmcAYLVawzJniYmJYednzpyJm2++GRdeeCF69eqF//znP/B4PHj99ddjatMaMTgjIiKiqGl7a8b00YA6Zx9++CE6duyIAQMG4NZbb0VxcbF+bt++fdi5cydOP/10/ZjVasWYMWOwcuXKqNu0VgzOiIiIqFmUl5eHfXg8nojtunXrhlmzZmHVqlX497//jZ9++gmnnHKK3n7fvn0AgA4dOoRdl52djYKCgqjbtFZcrUlERERRE0ERc90ybVgzLy8v7Pj06dPx6KOP1mo/Y8YM/fO8vDy8//776NKlCz744ANMnjxZP2c0hueYzGZzrSxdNG1aGwZnREREFLUj2b4pPz8fycnJ+nGbzRbV9bm5ucjJycHmzZsByOwXABQVFYW1O3TokH4umjatFYc1iYiIKGpHsiAgOTk57CPa4Ky0tDQsqOratStycnLw7bff6m0CgQC+++47jBgxIuo2rRWDMyIiIopaUA1rxvoRrZKSEtx4443Yvn07hBDYu3cvpkyZgrS0NFxwwQUAAIPBgNtuuw2zZs3C6tWr4fF4MH36dDidTlx77bVRt2mtOKxJREREURPBAEQwEPM10UpLS8OIESNw9tlnY8eOHYiLi8PYsWPx3XffITMzU2/3wAMPoKysDGPHjoXL5ULv3r3x4YcfIjc3N6Y2rZFBtPZZcY2svLwcKSkpMA+6DAaTtaW7Q0REVCcR8ML/+3w4HI6wuVotQfv9mXf5mzBa42O6NuitQv7cqTG/D6/XC6u1/t/VQgh4PB7ExcUdUZvWhJkzIiIiilpTZ85CHS4wA+Tw5eGCrmjatCYMzoiIiChqIhhsQHAWbKLeHJ0YnBEREVHURCAAEYgxOIuxfXvH4IyIiIiiJkQDhjUFg7NYMDgjIiKiqDXnnLP2inXOiIiIiFoRZs6IiIgoasycNT0GZ0RERBQ1BmdNj8EZERERRY2lNJoegzMiIiKKWjAYAGIMzoLMnMWEwRkRERFFjcOaTa/NrdYsLi7GX//6Vxx//PEYM2YM5s2b19JdIiIiImo0bSpzVlxcjBEjRqBHjx54/vnnER8fj5deegndunXDySef3NLdIyIiOuoxc9b02lRw9vDDDyMQCGDJkiX6BqazZ89GgNtCEBERNY9AAMIY4+9d/p6OSZsJzoQQ+O9//4ubb7651s7yJpOphXpFRETUvggR+4IAbt8UmzYTnBUVFaGkpAR5eXm46qqrsGbNGnTq1AlXXnklLr300jqv83g88Hg8+vPy8vLm6C4REdFRSQSDsQdnLKURkxYNzu6//34sXLiw3jZfffUVunTpAq/XCwC47777MHPmTNx999346aefMHXqVDgcDtx0000Rr585cyYee+yxRu87ERFReyQaUEqDc85iYxBCiJZ68UOHDh02k9W1a1dYLBa43W4kJCTg8ssvx1tvvaWfv/HGG7Fq1Sr88ssvEa+PlDnLy8uDedBlMJisjfI+iIiImoIIeOH/fT4cDgeSk5NbtC/l5eVISUlB8in3wmC2xXSt8HtQ/s0zreJ9tAUtmjnLzs5GdnZ2VG3j4uJw7LHHIjU1Nex4amoqnE5nndfZbDbYbLH9IyIiIqLI5LBmbMOUHNaMTZuqc3brrbfi3XffxbZt2wAAO3fuxLx58zBp0qQW7hkREVH7oJXSiPWDotdmFgQAwDXXXIM9e/bguOOOQ2JiIkpLS3H55Zfj//2//9fSXSMiImoXOOes6bWp4AwAHnvsMTz44IMoLCxETk4OzOY29xaIiIjarGAwAAODsybVJiMbm82G3Nzclu4GERFRuyMCQcAQY3AW4JyzWLSpOWdERETUfuzatQurV69GZWVlS3elWTE4IyIioqgJ0YAFATHuEOB0OjFx4kQMHDgQU6ZMQYcOHfDGG2800TtqfdrksCYRERG1DBEMxD6sGeOcswceeACbN2/Grl27kJmZiXnz5uHKK6/EiBEjMHDgwJju1RYxc0ZERERRa+pSGn6/H3PmzMHNN9+MzMxMAMCUKVPQtWvXsCL0R7N2lznTNkQQAV8L94SIiKh+2u+qFtzMpxbhc8e++lK9j5q7AkUqFL9jxw6Ul5dj2LBhYceHDx+OtWvXxt7hNqjdBWcVFRUAgMCG91q4J0RERNGpqKhASkpKi/bBarUiJycHBxr4+zMxMRF5eXlhx6ZPn45HH3007FhJSQkAICMjI+x4RkYGtmzZ0qDXbmvaXXDWqVMn5OfnIykpCQaDoaW7o9P2/MzPzz+q9x1rL+8T4Hs9WvG9Hp1a63sVQqCiogKdOnVq6a4gLi4OO3fuhNfrbdD1Qohav3cjba9osVgAAG63O+y4y+WC1do+9sRud8GZ0Whs1TXSkpOTW9UPhqbSXt4nwPd6tOJ7PTq1xvfa0hmzUHFxcYiLi2vS1+jatSsAYN++fRg+fLh+fN++fejSpUuTvnZrwQUBRERE1GpkZmZiyJAhWLJkiX6stLQUK1aswPjx41uwZ82n3WXOiIiIqHX7xz/+gbPPPhtdunTB0KFD8eyzz6Jnz5644oorWrprzYKZs1bCZrNh+vTpEcffjybt5X0CfK9HK77Xo1N7eq9twYQJE7Bs2TJs3LgRL774IkaMGIFvvvmmyYdUWwuDaE3rc4mIiIjaOWbOiIiIiFoRBmdERERErQiDMyIiIqJWhKs1W0hJSQk2bNgQ8dygQYPqrGvzww8/IBAI3zajW7durbp2WyAQwA8//FDreN++fZGVlVXvtV6vF+vXr4fdbke/fv2aqouNrrCwEHv37kX37t2Rmppab1uXy4U1a9bUOl7fv4OWUFFRgc2bNyMrK0uvQ9QU17QGe/bsQVlZGXr16oX4+Ph62xYVFWHTpk21jp944okwm1vvj9h9+/Zh586dYceMRiNOOumkw1576NAh7N69G926dTvs/+HWYNWqVRELp2ZlZaFv374Rr9m1axf27t0bdiwuLg7HH398k/SRKIygFrFixQoxatSosI+uXbsKAGL9+vV1XpeQkCD69+8fdt28efOaseexKy0tFQDE4MGDw/r92Wef1XvdF198IbKyskT37t1FRkaGGDx4sNizZ08z9bphfvzxRzFmzBiRlZUlhgwZIux2u5g6darwer11XrNx40YBQAwfPjzs6/Pzzz83Y8/r9+9//1vEx8eLfv36ifj4eDFp0iThdDob/ZqWtnDhQtG/f3+Rl5cnBg4cKBISEsSMGTPqveadd94RZrO51v/nsrKyZup1wzz99NMiISEhrM+nnXZavdcEg0Fx2223CZvNJo455hhhs9nEPffc00w9brg///nPYe/zxBNPFADEbbfdVuc199xzj0hNTQ277oILLmjGXlN7xuCsFZk4caIYPnx4vW0SEhLE+++/3zwdaiRacBZLsFFaWirS0tLEgw8+KIQQwuPxiNGjR4uxY8c2VTcbxdy5c8WKFSv051u3bhUZGRniscceq/MaLTjLz89vji7GbO3atcJgMIj33ntPCCHEwYMHRZcuXcRdd93VqNe0Bs8995zYuHGj/nzZsmXCZDKJxYsX13nNO++8IzIyMpqje43q6aefFoMHD47pmtdff10kJiaKdevWCSGE+Pnnn4XNZhPz589vgh42nSVLlggAYs2aNXW2ueeee8SZZ57ZjL0iqsY5Z63Evn378Nlnn+G66647bNuDBw9i9erVKCoqaoaeNZ78/HysWbMGZWVlh237/vvvw+l04v777wcgN9y9//778fXXX2PXrl1N29EjMGXKFIwePVp/3qtXL4wfPx4rV6487LU7d+7E2rVrUVFR0ZRdjNns2bPRt29fXHjhhQCA7OxsXH/99XjrrbcQDAYb7ZrW4K677gobPh83bhx69+592O+fEAIbNmzAH3/8AY/H09TdbDSBQADr1q3Dpk2b4PP5Dtv+zTffxLnnnotBgwYBAI4//nhMmDABb775ZlN3tVG98cYbOO6443DcccfV287r9WLt2rXYtm1brekkRE2JwVkr8dZbb8Fut+Piiy8+bNsHHngA11xzDfLy8jBhwgQUFBQ0Qw+P3A033ICrrroK2dnZuPTSS+FwOOpsu3btWvTu3Ttsj7sTTjhBP9dWBAIBrF27Fr169Tps20suuQRTpkxBRkYGbrzxxlbzS37t2rUYNmxY2LETTjgBpaWl2L17d6Nd0xoVFhZi9+7dh/3+lZSU4JxzzsE555yD9PR0PPnkk83UwyOzfv16XHzxxRg/fjyys7MPG2TV9X1tS/8nDx48iI8//jiqP4RXrFiBK664AqNHj0Zubi4WLVrUDD0k4oKARvXdd99B1FPTNzk5Gccee2yt40IIzJ49GxdffDGSkpLqfY0XXngBU6dOhdFoxP79+zFhwgRcfvnl+PLLL4+4/9Hy+Xz46aef6m2TmZmpZyAsFgvmz5+PSy+9FACwbds2nH766bj99tvx9ttvR7y+pKQEGRkZYcfS09P1c83F6XQe9hdPp06d0KNHj4jnpk+fjr179+Kuu+6q8/rExER89NFH+NOf/gQA+O233zB27FikpKS0il/yJSUlGDp0aNgx7XtTUlKC7t27N8o1rU0wGMQ111yDjh074rLLLquzXffu3fHrr79i8ODBAIDFixfjvPPOQ5cuXXDJJZc0V3djNmTIEGzduhU9e/YEALzyyiu49tpr0atXL4wZM6ZWe7fbDZfLVev/ZUZGBkpLSyGEgMFgaJa+H4m3334bVqtV/3lUl1NOOQX33HMPOnbsiGAwiMcffxyXXHIJfvnlFwwYMKCZekvtFYOzRvS3v/0Nfr+/zvMDBgzAq6++Wuv48uXLsX37dvzf//3fYV/j2muv1T/v2LEjHn30UfzlL39BYWFhs62aqqiowAMPPFBvm7Fjx+Lxxx8HACQkJIT9IOzVqxfuu+8+/PWvf8Xs2bNhNNZO4FosFrjd7rBj2nOr1XqkbyFq+/fvP+x7Pf/88yMGXy+99BKefvppLFq0CL17967z+tzc3LDVtoMHD8bNN9+MuXPntorgLNL3wuVyAaj7e9GQa1oTIQRuvPFG/Pjjj1i+fDkSEhLqbDtixIiw5+eccw4mTJiAd999t1UHZ+PGjQt7ftNNN+HVV1/Ff//734jBmcViAYCI31ez2dwmAjNADs1Onjw5LCsfydlnn61/bjQa8cgjj+DVV1/FokWLGJxRk2Nw1oiWL1/eoOveeOMNHHvssfqwXSw6dOgAQM5Za67gLD09Pao5VPXp0KEDXC4XSkpKkJmZWet8165dsWzZsrBj+/btAwB06dLliF47Fr169WrQe33llVdwzz334H//+5+eEYtFhw4d9Pfb0rp27VqrL9rzvLy8RrumtRBC4Oabb8b777+Pr776Csccc0zM9+jQoQN+++23Juhd06rv353JZELnzp0jfl/bSpmUlStXYvPmzZg9e3bM1xoMBmRlZbWa/5d0dOOcsxZWVlaGhQsX1jn/4fvvv9dr7TidzlrnP//8c8TFxUU1p6ml1NXvnJwcfYjE7/dj5cqVKCwsBACMHz8e+/btwy+//KJfs3jxYiQnJ9fKVLQ2r776Ku6880689957+POf/1zrfFVVFVauXKnPuYv09Vm2bBkGDhzY5H2Nxvjx47F8+fKwhQqLFy/G8OHD9RpuDocDK1euRFVVVdTXtFa33norFixYgC+//FKf+B6qsLAQK1eu1LPkNb9/Ho8HK1asaDXfv7rU7HdpaSlWr14d1u+9e/fi+++/15+PHz8eH374oT59IxgM4sMPP8T48eObp9NH6PXXX8eAAQMwcuTIWud27tyJ1atX689rfn327NmDzZs3t/rvKx0lWnClKAkhXnrpJWG320VpaWnE8zabTcycOVMIIcS7774rJk6cKN566y3xySefiPvvv19YrVbx5JNPNmOPY/fss8+Kiy++WMyfP198/PHH4qabbhJms1nMmTNHb1NYWCgAiLlz5+rHzj77bNGnTx/x3//+V8yaNUvY7Xbx3HPPtcRbiNrcuXOFwWAQ9913n/j222/1j19++UVv8/vvvwsAYtmyZUIIIe6//35x7bXXivfee08sWbJETJkyRVitVvHJJ5+01NsI43Q6Rd++fcXYsWPFBx98IB566CFhMpnE559/rrdZtmyZACB+//33qK9pje677z5hMpnEyy+/HPb927x5s95m7ty5AoAoLCwUQghx7rnnigceeEAsWbJEvPfee+KUU04RGRkZYsuWLS31NqIyatQo8fe//118/PHHYt68eWLIkCGiW7du4uDBg3qbmTNnCpvNpj/fsmWLSE5OFldddZVYsmSJuPTSS0VaWprYtWtXS7yFmJSXl4v4+HjxwgsvRDx/xx13iK5du+rPBwwYIJ566inxySefiDfffFP07t1bDBo0SFRWVjZTj6k947BmC9u4cSPuuuuuOrMJo0aN0oeBJk+ejA4dOmDu3LnYu3cvunXrhq+++gqjRo1qxh7H7u6778bixYuxYMECFBUVoWfPnlizZk3Y4giLxYJRo0YhOztbP/bee+/h+eefx+uvvw673Y433nijVc/hAeRf3yeddBK+//77sIxDjx49MGfOHAByDt6oUaP07/nMmTPxzjvvYNGiRSgvL0ffvn2xYcMGfaJ2S4uPj8e3336LJ554Av/617+QlZWFL7/8EqeccoreJjU1FaNGjdLnZkVzTWt04MABnHjiiZg/f37Y8TPPPBMPP/wwAFkWZNSoUfocrHfeeQevvvqqvtLxlFNOwcKFC2tNnG9tPv74Y8yaNQsvv/yyvlL81ltvDZtfl5eXF/bzpXfv3vjhhx/w7LPP4vnnn0fPnj3x448/tolhzR9//BHDhg3D5ZdfHvF8jx49MHz4cP35119/jRdffBH/+te/kJycjFtvvRU33HADbDZbc3WZ2jGDEPUsLyQiIiKiZsU5Z0REREStCIMzIiIiolaEwRkRERFRK8LgjIiIiKgVYXBGRERE1IowOCMiIiJqRRicEREREbUiLEJLRPXy+XxYuHAhACA5ORkTJ05s8tdcvHixvlH6xRdf3OSvR0TUmrAILRHVq6ysDGlpaTjjjDMwcOBAPPvss03+mjfeeCM2b96M5cuXgz+iiKi9YXBGRPXSgrOff/4Zxx9/fLO97hdffIHx48czOCOidodzzojamQ0bNuB///sfgsGgfqysrAzvvvsuCgoKorqH1+vFu+++i7KysrDj77//Pvbs2aM/f/fdd3Hw4EHk5+dj6dKl+PHHH/VzW7duxeLFi/H7778f2RsiIjrKcM4ZUTuTnp6OW265Bdu2bcO0adMAADfccAO2b9+O888/P6p7lJeX45JLLsHatWsxZMgQ/fh1112Hl156CV26dAEAXHLJJRgzZgwKCgrQt29ffPPNN5gwYQK6deuGxYsXo3fv3vj6668xbdo0PPTQQ43+XomI2iIGZ0TtTE5ODt58802cd955GDduHP744w989NFH+OWXX2CxWBr99eLj47Fx40aYzWZ8+umnmDBhAs455xxs2LABJpMJCxYswJQpU3D33XcjPj6+0V+fiKitYXBG1A5NmjQJ1113HSZPnozCwkI8//zz6Nu3b5O81tSpU2E2yx81I0eOBABcc801MJlM+jGPx4M9e/agX79+TdIHIqK2hHPOiNqp6dOnIz8/H126dMH111/fZK+Tlpamf26z2eo85na7m6wPRERtCYMzonbq/vvvR7du3bBt2zYsWLCgQfeouZLS5/M1RteIiNo1BmdE7dCCBQvwzjvvYNGiRZgxYwZuuOEG7Nu3L+b7bNu2Tf98x44dKC8vb8xuEhG1S5xzRtTO7N27F9dffz2eeOIJDBo0CAMHDsSnn36KK6+8EsuWLYPBYIj6Xg8//DD27dsHq9WK//znP0hNTcVHH32EMWPGoFOnTk34LoiIjl7MnBG1Mx9++CGuuuoq3HHHHQAAg8GAOXPmIDs7G6tWrarzus8//xxLly4NO/bMM8/gwIED2LBhA1566SX83//9H+Lj4+HxeAAAkydPRk5Ojt7eZDJh8uTJyMrK0o/ZbDZMnjw5bB7a4sWLsXz58sZ4u0REbQ53CCCielVVVWHq1KkAgM6dO+PZZ59FUVERsrKyatU5ayw33nijXuD23XffbfT7ExG1ZgzOiChmTR2cERG1ZxzWJKKYRRqKJCKixsHMGREREVErwswZERERUSvC4IyIiIioFWFwRkRERNSKMDgjIiIiakUYnBERERG1IgzOiIiIiFoRBmdERERErQiDMyIiIqJWhMEZERERUSvy/wHQsn+1P0W79gAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fld = np.load(HERE / \"recorded\" / \"ybranch_tidy3d_field.npz\")\n", "mag2 = fld[\"mag2\"] # (nx, ny) |E|² at band center, opt1 excitation\n", "fig, ax = plt.subplots(figsize=(9, 4))\n", "# tidy3d's adaptive mesh is NON-uniform, so draw the field on its true grid\n", "# coordinates (pcolormesh) — an imshow with a uniform extent would stretch the\n", "# finely-meshed waveguide core and misrepresent its width.\n", "im = ax.pcolormesh(fld[\"x\"], fld[\"y\"], mag2.T, shading=\"nearest\", cmap=\"RdBu_r\")\n", "ax.set_aspect(\"equal\")\n", "fig.colorbar(im, ax=ax, label=\"|E|²\")\n", "ax.set_xlabel(\"x [µm]\")\n", "ax.set_ylabel(\"y [µm]\")\n", "ax.set_title(f\"|E|² — excitation {str(fld['source'])} (tidy3d)\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "8f96f409", "metadata": {}, "source": [ "## Recap & where to go next\n", "\n", "From a GDS file you produced a full FDTD result — geometry, the launched mode,\n", "the mesh, a scattering matrix, and the field — with one free engine and no\n", "hand-tuning. The same five lines drive tidy3d and Lumerical too.\n", "\n", "- **`04_reading_results`** — everything an `SMatrix` can tell you (loss,\n", " crosstalk, phase, reciprocity/passivity, and I/O to Touchstone/HDF5).\n", "- **`05_fields_and_modes`** — higher-order modes, dispersion of `n_eff`, and\n", " richer field views.\n", "- **`07_choosing_an_engine`** — this very y-branch on beamz, tidy3d, and\n", " Lumerical, and how closely they agree." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.13" } }, "nbformat": 4, "nbformat_minor": 5 }