{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "5faef388",
   "metadata": {},
   "source": [
    "# Polarization splitter and rotator based on 90 degree bends"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "55e0b34f",
   "metadata": {},
   "source": [
    "Note: the cost of running the entire notebook is larger than 1 FlexCredit.\n",
    "\n",
    "Efficient manipulation of the polarization state of light is essential for many photonic applications including optical communications, quantum information processing, and sensing. Polarization beam splitters and rotators (PSRs) are key devices that can split an input beam into two TE and TM output beams and rotate the TM beam into TE polarization. This notebook presents the simulation of a compact and highly efficient PSR based on 90 degree bends in a silicon-on-insulator platform. The design is proposed in the work `Kang Tan, Ying Huang, Guo-Qiang Lo, Chengkuo Lee, and Changyuan Yu, \"Compact highly-efficient polarization splitter and rotator based on 90° bends,\" Opt. Express 24, 14506-14512 (2016)` [DOI: 10.1364/OE.24.014506](https://doi.org/10.1364/OE.24.014506) and experimentally demonstrated in `Kang Tan, Ying Huang, Guo-Qiang Lo, Changyuan Yu, and Chengkuo Lee, \"Experimental realization of an O-band compact polarization splitter and rotator,\" Opt. Express 25, 3234-3241 (2017)` [DOI: 10.1364/OE.25.003234](https://doi.org/10.1364/OE.25.003234).\n",
    "\n",
    "The proposed PSR consists of two parallel 90 degree bend waveguides with slightly different cross-sections designed for phase matching between the TM mode of the inner bend and the TE mode of the outer bend. The inner bend is designed to strongly confine the TE mode while allowing the TM mode to couple to the outer bend. By optimizing the geometry, efficient polarization splitting and rotating with low loss and high extinction ratio is achieved in a compact device footprint.\n",
    "\n",
    "<img src=\"img/90_bend_PSR_1.png\" width=\"300\" alt=\"Schematic of the PSR\">"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "3796cc1e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-05-15T10:33:44.855458Z",
     "iopub.status.busy": "2025-05-15T10:33:44.855311Z",
     "iopub.status.idle": "2025-05-15T10:33:46.909574Z",
     "shell.execute_reply": "2025-05-15T10:33:46.908912Z"
    }
   },
   "outputs": [],
   "source": [
    "import gdstk\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import tidy3d as td\n",
    "import tidy3d.web as web\n",
    "from tidy3d.plugins.mode import ModeSolver\n",
    "from tidy3d.plugins.mode.web import run as run_mode_solver"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1a4a87ab",
   "metadata": {},
   "source": [
    "## Simulation Setup"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0f3cc351",
   "metadata": {},
   "source": [
    "Define simulation wavelength range to be 1.25 μm to 1.37 μm, covering the entire O-band."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "8272fe21",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-05-15T10:33:46.911820Z",
     "iopub.status.busy": "2025-05-15T10:33:46.911411Z",
     "iopub.status.idle": "2025-05-15T10:33:46.914760Z",
     "shell.execute_reply": "2025-05-15T10:33:46.914278Z"
    }
   },
   "outputs": [],
   "source": [
    "lda0 = 1.31  # central wavelength\n",
    "freq0 = td.C_0 / lda0  # central frequency\n",
    "ldas = np.linspace(1.25, 1.37, 21)  # wavelength range\n",
    "freqs = td.C_0 / ldas  # frequency range\n",
    "fwidth = 0.5 * (np.max(freqs) - np.min(freqs))  # width of the source frequency"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6f31e220",
   "metadata": {},
   "source": [
    "In this device, the PSR is made of silicon. The cladding and substrate are made of silicon oxide. We will simply use the popularly used refractive index data from Palik by calling Tidy3D's built-in [material library](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/material_library.html)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "2f9950ab",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-05-15T10:33:46.916367Z",
     "iopub.status.busy": "2025-05-15T10:33:46.916248Z",
     "iopub.status.idle": "2025-05-15T10:33:46.918469Z",
     "shell.execute_reply": "2025-05-15T10:33:46.918171Z"
    }
   },
   "outputs": [],
   "source": [
    "# define silicon medium\n",
    "si = td.material_library[\"cSi\"][\"Palik_Lossless\"]\n",
    "\n",
    "# define silicon oxide medium\n",
    "sio2 = td.material_library[\"SiO2\"][\"Palik_Lossless\"]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "381ace0d",
   "metadata": {},
   "source": [
    "Define the geometric parameters. The inner bend is fully etched while the outer bend is partially etched. The cross section is schematically shown below.\n",
    "\n",
    "<img src=\"img/90_bend_PSR_2.png\" width=\"400\" alt=\"Cross section of the waveguides\">"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "26a252a5",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-05-15T10:33:46.919685Z",
     "iopub.status.busy": "2025-05-15T10:33:46.919459Z",
     "iopub.status.idle": "2025-05-15T10:33:46.921619Z",
     "shell.execute_reply": "2025-05-15T10:33:46.921285Z"
    }
   },
   "outputs": [],
   "source": [
    "R1 = 10  # radius of the inner bend\n",
    "H1 = 0.22  # thickness of the fully etched waveguide\n",
    "W1 = 0.4  # width of the inner bend waveguide\n",
    "Wg = 0.2  # width of the gap\n",
    "W2 = 0.21  # width of the fully etched outer waveguide\n",
    "W3 = 0.285  # width of the partially etched outer waveguide\n",
    "H2 = 0.11  # thickness of the partially etched waveguide\n",
    "buffer = 5  # buffer spacing"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "95cecea2",
   "metadata": {},
   "source": [
    "Since the PSR contains various bending parts, the easiest way to define the geometry is to use the `gdstk` library. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "f8546a71",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-05-15T10:33:46.922922Z",
     "iopub.status.busy": "2025-05-15T10:33:46.922743Z",
     "iopub.status.idle": "2025-05-15T10:33:47.034530Z",
     "shell.execute_reply": "2025-05-15T10:33:47.033716Z"
    }
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# define a gds cell\n",
    "cell = gdstk.Cell(\"psi\")\n",
    "\n",
    "# radius of the s bend\n",
    "s_bend_radius = 6\n",
    "# angle of the s bend\n",
    "s_bend_angle = np.pi / 3\n",
    "\n",
    "# define the inner bend path\n",
    "inner_path = gdstk.RobustPath(\n",
    "    initial_point=(-buffer, 0), width=W1, tolerance=1e-4, layer=1, datatype=0\n",
    ")\n",
    "inner_path.horizontal(x=0)\n",
    "inner_path.arc(radius=R1, initial_angle=-np.pi / 2, final_angle=0)\n",
    "inner_path.arc(radius=s_bend_radius, initial_angle=0, final_angle=s_bend_angle)\n",
    "inner_path.arc(radius=s_bend_radius, initial_angle=-np.pi + s_bend_angle, final_angle=-np.pi)\n",
    "inner_path.vertical(y=buffer, relative=True)\n",
    "cell.add(inner_path)\n",
    "\n",
    "# starting coordinates of the outer bend path\n",
    "x0 = -2\n",
    "y0 = -2\n",
    "\n",
    "# define the fully etched outer bend path\n",
    "outer_path = gdstk.RobustPath(\n",
    "    initial_point=(x0, -buffer), width=W2, tolerance=1e-4, layer=1, datatype=0\n",
    ")\n",
    "outer_path.vertical(y=-W1 / 2 - Wg - W2 / 2 + y0)\n",
    "outer_path.arc(radius=2, initial_angle=np.pi, final_angle=np.pi / 2)\n",
    "outer_path.arc(radius=R1 + W1 / 2 + Wg + W2 / 2, initial_angle=-np.pi / 2, final_angle=0)\n",
    "outer_path.vertical(y=buffer * 3, relative=True)\n",
    "cell.add(outer_path)\n",
    "\n",
    "# define the partially etched outer bend path\n",
    "partially_etched_path = gdstk.RobustPath(\n",
    "    initial_point=(-2 + W3 / 2, -buffer), width=W3 - W2, tolerance=1e-4, layer=2, datatype=0\n",
    ")\n",
    "partially_etched_path.vertical(y=-W1 / 2 - Wg - W2 / 2 + y0)\n",
    "partially_etched_path.arc(radius=2 - W3 / 2, initial_angle=np.pi, final_angle=np.pi / 2)\n",
    "partially_etched_path.arc(\n",
    "    radius=R1 + W1 / 2 + Wg + W2 / 2 + W3 / 2, initial_angle=-np.pi / 2, final_angle=0\n",
    ")\n",
    "partially_etched_path.vertical(y=buffer * 3, relative=True)\n",
    "cell.add(partially_etched_path)\n",
    "\n",
    "# define structures from the gds\n",
    "inner_bend = td.Structure(\n",
    "    geometry=td.PolySlab.from_gds(\n",
    "        cell,\n",
    "        gds_layer=1,\n",
    "        axis=2,\n",
    "        slab_bounds=(0, H1),\n",
    "    )[0],\n",
    "    medium=si,\n",
    ")\n",
    "\n",
    "outer_bend = td.Structure(\n",
    "    geometry=td.PolySlab.from_gds(\n",
    "        cell,\n",
    "        gds_layer=1,\n",
    "        axis=2,\n",
    "        slab_bounds=(0, H1),\n",
    "    )[1],\n",
    "    medium=si,\n",
    ")\n",
    "\n",
    "partially_etched_bend = td.Structure(\n",
    "    geometry=td.PolySlab.from_gds(\n",
    "        cell,\n",
    "        gds_layer=2,\n",
    "        axis=2,\n",
    "        slab_bounds=(0, H2),\n",
    "    )[0],\n",
    "    medium=si,\n",
    ")\n",
    "\n",
    "# plot the structures to visualize\n",
    "ax = inner_bend.plot(z=H2 / 2)\n",
    "ax = outer_bend.plot(z=H2 / 2, ax=ax)\n",
    "partially_etched_bend.plot(z=H2 / 2, ax=ax)\n",
    "\n",
    "# define simulation domain bounds\n",
    "x_min = -3\n",
    "x_max = 12\n",
    "y_min = -3\n",
    "y_max = 22\n",
    "z_min = -1\n",
    "z_max = 1\n",
    "\n",
    "ax.set_xlim(x_min, x_max)\n",
    "ax.set_ylim(y_min, y_max)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "514133af",
   "metadata": {},
   "source": [
    "Define a [ModeSource](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.ModeSource.html) first to launch the TM mode at the input waveguide. Later, we will also simulate a TE mode source. `mode_index=1` specifies that we are selecting the TM0 mode while `mode_index=0` corresponds to the TE0 mode since they are ordered by their effective index values in a decreasing order.\n",
    "\n",
    "To measure mode conversion efficiencies at the through and cross ports, we define two [ModeMonitors](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.ModeMonitor.html). We also define a [FieldMonitor](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.FieldMonitor.html) to help visualize the mode propagation and conversion. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "89fa9458",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-05-15T10:33:47.036425Z",
     "iopub.status.busy": "2025-05-15T10:33:47.036124Z",
     "iopub.status.idle": "2025-05-15T10:33:47.041616Z",
     "shell.execute_reply": "2025-05-15T10:33:47.040938Z"
    }
   },
   "outputs": [],
   "source": [
    "# add a mode source as excitation\n",
    "mode_spec = td.ModeSpec(num_modes=2, target_neff=3.5)\n",
    "mode_source = td.ModeSource(\n",
    "    center=(-lda0, 0, H1 / 2),\n",
    "    size=(0, 4 * W1, 6 * H1),\n",
    "    source_time=td.GaussianPulse(freq0=freq0, fwidth=fwidth),\n",
    "    direction=\"+\",\n",
    "    mode_spec=mode_spec,\n",
    "    mode_index=1,\n",
    ")\n",
    "\n",
    "# add a mode monitor to measure transmission at the cross port\n",
    "mode_monitor_cross = td.ModeMonitor(\n",
    "    center=(R1 + W1 / 2 + Wg + W2 / 2 + W3 / 2, R1 + 2 * buffer, H1 / 2),\n",
    "    size=(8 * W1, 0, 6 * H1),\n",
    "    freqs=freqs,\n",
    "    mode_spec=mode_spec,\n",
    "    name=\"cross\",\n",
    ")\n",
    "\n",
    "# add a mode monitor to measure transmission at the through port\n",
    "mode_monitor_through = td.ModeMonitor(\n",
    "    center=(4, R1 + 2 * buffer, H1 / 2),\n",
    "    size=(8 * W1, 0, 6 * H1),\n",
    "    freqs=freqs,\n",
    "    mode_spec=mode_spec,\n",
    "    name=\"through\",\n",
    ")\n",
    "\n",
    "# add a field monitor to visualize field distribution at z=t/2\n",
    "field_monitor = td.FieldMonitor(\n",
    "    center=(0, 0, H2 / 2), size=(td.inf, td.inf, 0), freqs=[freq0], name=\"field\"\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a01abde4",
   "metadata": {},
   "source": [
    "Define a Tidy3D simulation. Remember to set `medium=sio2`, which makes the background medium silicon oxide instead of air. To ensure good accuracy, we use an automatic nonuniform grid with `min_steps_per_wvl=20`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "33931391",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-05-15T10:33:47.043772Z",
     "iopub.status.busy": "2025-05-15T10:33:47.043051Z",
     "iopub.status.idle": "2025-05-15T10:33:47.157211Z",
     "shell.execute_reply": "2025-05-15T10:33:47.156815Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "run_time = 1e-12  # simulation run time\n",
    "\n",
    "# define a simulation domain box\n",
    "sim_box = td.Box.from_bounds(rmin=(x_min, y_min, z_min), rmax=(x_max, y_max, z_max))\n",
    "\n",
    "# construct simulation\n",
    "sim_tm = td.Simulation(\n",
    "    center=sim_box.center,\n",
    "    size=sim_box.size,\n",
    "    grid_spec=td.GridSpec.auto(min_steps_per_wvl=20, wavelength=lda0),\n",
    "    structures=[inner_bend, outer_bend, partially_etched_bend],\n",
    "    sources=[mode_source],\n",
    "    monitors=[mode_monitor_cross, mode_monitor_through, field_monitor],\n",
    "    run_time=run_time,\n",
    "    boundary_spec=td.BoundarySpec.all_sides(boundary=td.PML()),\n",
    "    medium=sio2,\n",
    ")\n",
    "\n",
    "# plot simulation\n",
    "sim_tm.plot(z=H2 / 2)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4b7526ba",
   "metadata": {},
   "source": [
    "To have a better visualization, we can also plot the simulation in 3D."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "2e91fab4",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-05-15T10:33:47.159124Z",
     "iopub.status.busy": "2025-05-15T10:33:47.158961Z",
     "iopub.status.idle": "2025-05-15T10:33:47.182958Z",
     "shell.execute_reply": "2025-05-15T10:33:47.182419Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "    <div class=\"simulation-viewer\" data-width=\"800\" data-height=\"800\" 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\" ></div>\n",
       "    <script>\n",
       "        \n",
       "        /**\n",
       "        * Simulation Viewer Injector\n",
       "        *\n",
       "        * Monitors the document for elements being added in the form:\n",
       "        *\n",
       "        *    <div class=\"simulation-viewer\" data-width=\"800\" data-height=\"800\" data-simulation=\"{...}\" />\n",
       "        *\n",
       "        * This script will then inject an iframe to the viewer application, and pass it the simulation data\n",
       "        * via the postMessage API on request. The script may be safely included multiple times, with only the\n",
       "        * configuration of the first started script (e.g. viewer URL) applying.\n",
       "        *\n",
       "        */\n",
       "        (function() {\n",
       "            const TARGET_CLASS = \"simulation-viewer\";\n",
       "            const ACTIVE_CLASS = \"simulation-viewer-active\";\n",
       "            const VIEWER_URL = \"https://tidy3d.simulation.cloud/simulation-viewer\";\n",
       "\n",
       "            class SimulationViewerInjector {\n",
       "                constructor() {\n",
       "                    for (var node of document.getElementsByClassName(TARGET_CLASS)) {\n",
       "                        this.injectViewer(node);\n",
       "                    }\n",
       "\n",
       "                    // Monitor for newly added nodes to the DOM\n",
       "                    this.observer = new MutationObserver(this.onMutations.bind(this));\n",
       "                    this.observer.observe(document.body, {childList: true, subtree: true});\n",
       "                }\n",
       "\n",
       "                onMutations(mutations) {\n",
       "                    for (var mutation of mutations) {\n",
       "                        if (mutation.type === 'childList') {\n",
       "                            /**\n",
       "                            * Have found that adding the element does not reliably trigger the mutation observer.\n",
       "                            * It may be the case that setting content with innerHTML does not trigger.\n",
       "                            *\n",
       "                            * It seems to be sufficient to re-scan the document for un-activated viewers\n",
       "                            * whenever an event occurs, as Jupyter triggers multiple events on cell evaluation.\n",
       "                            */\n",
       "                            var viewers = document.getElementsByClassName(TARGET_CLASS);\n",
       "                            for (var node of viewers) {\n",
       "                                this.injectViewer(node);\n",
       "                            }\n",
       "                        }\n",
       "                    }\n",
       "                }\n",
       "\n",
       "                injectViewer(node) {\n",
       "                    // (re-)check that this is a valid simulation container and has not already been injected\n",
       "                    if (node.classList.contains(TARGET_CLASS) && !node.classList.contains(ACTIVE_CLASS)) {\n",
       "                        // Mark node as injected, to prevent re-runs\n",
       "                        node.classList.add(ACTIVE_CLASS);\n",
       "\n",
       "                        var uuid;\n",
       "                        if (window.crypto && window.crypto.randomUUID) {\n",
       "                            uuid = window.crypto.randomUUID();\n",
       "                        } else {\n",
       "                            uuid = \"\" + Math.random();\n",
       "                        }\n",
       "\n",
       "                        var frame = document.createElement(\"iframe\");\n",
       "                        frame.width = node.dataset.width || 800;\n",
       "                        frame.height = node.dataset.height || 800;\n",
       "                        frame.style.cssText = `width:${frame.width}px;height:${frame.height}px;max-width:none;border:0;display:block`\n",
       "                        frame.src = VIEWER_URL + \"?uuid=\" + uuid;\n",
       "\n",
       "                        var postMessageToViewer;\n",
       "                        postMessageToViewer = event => {\n",
       "                            if(event.data.type === 'viewer' && event.data.uuid===uuid){\n",
       "                                frame.contentWindow.postMessage({ type: 'jupyter', uuid, value: node.dataset.simulation, fileType: 'hdf5'}, '*');\n",
       "\n",
       "                                // Run once only\n",
       "                                window.removeEventListener('message', postMessageToViewer);\n",
       "                            }\n",
       "                        };\n",
       "                        window.addEventListener(\n",
       "                            'message',\n",
       "                            postMessageToViewer,\n",
       "                            false\n",
       "                        );\n",
       "\n",
       "                        node.appendChild(frame);\n",
       "                    }\n",
       "                }\n",
       "            }\n",
       "\n",
       "            if (!window.simulationViewerInjector) {\n",
       "                window.simulationViewerInjector = new SimulationViewerInjector();\n",
       "            }\n",
       "        })();\n",
       "    \n",
       "    </script>\n",
       "    "
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sim_tm.plot_3d()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "05e94b25",
   "metadata": {},
   "source": [
    "## Mode Analysis"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "324af8d4",
   "metadata": {},
   "source": [
    "To analyze the working principle of the design, we need to perform mode solving for the outer bend waveguide. To ensure sufficient accuracy, we will run the mode solving in the server, where subpixel averaging is applied. First, solve for two modes and plot the mode profiles."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "ab43ac23",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-05-15T10:33:47.184747Z",
     "iopub.status.busy": "2025-05-15T10:33:47.184574Z",
     "iopub.status.idle": "2025-05-15T10:34:19.925865Z",
     "shell.execute_reply": "2025-05-15T10:34:19.925374Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">16:29:38 CEST </span>Mode solver created with                                          \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><span style=\"color: #808000; text-decoration-color: #808000\">task_id</span>=<span style=\"color: #008000; text-decoration-color: #008000\">'fdve-af71d00a-929a-4134-8eea-324262946ddd'</span>,              \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><span style=\"color: #808000; text-decoration-color: #808000\">solver_id</span>=<span style=\"color: #008000; text-decoration-color: #008000\">'mo-bd012a9a-a32e-44e0-b21c-b68bc1c9f530'</span>.              \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m16:29:38 CEST\u001b[0m\u001b[2;36m \u001b[0mMode solver created with                                          \n",
       "\u001b[2;36m              \u001b[0m\u001b[33mtask_id\u001b[0m=\u001b[32m'fdve-af71d00a-929a-4134-8eea-324262946ddd'\u001b[0m,              \n",
       "\u001b[2;36m              \u001b[0m\u001b[33msolver_id\u001b[0m=\u001b[32m'mo-bd012a9a-a32e-44e0-b21c-b68bc1c9f530'\u001b[0m.              \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "f9a73619fceb41c3b09383a03620b8f6",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "6c15bd57c59640e79d0a332a49a956de",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">16:29:42 CEST </span>Mode solver status: queued                                        \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m16:29:42 CEST\u001b[0m\u001b[2;36m \u001b[0mMode solver status: queued                                        \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">16:29:44 CEST </span>Mode solver status: running                                       \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m16:29:44 CEST\u001b[0m\u001b[2;36m \u001b[0mMode solver status: running                                       \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">16:29:50 CEST </span>Mode solver status: success                                       \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m16:29:50 CEST\u001b[0m\u001b[2;36m \u001b[0mMode solver status: success                                       \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "17c9e8b0cfc94f4391d8a6f5908113bf",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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vjUZjDX8SIvJqigooiuvjdN0xRhCRR/DhGOFVPRaLFi3CqFGjMGzYMLRu3RorVqxAYGAgVq5cWWb5+vXrw2QyaVtKSgoCAwNLBQ2j0ehULjw8/Dp9IiLySj78NMqTMUYQkUfw4RjhNQ0Li8WC9PR0JCYmavtkWUZiYiLS0tIqdY33338fAwYMQFBQkNP+7du3IyIiAi1atMCYMWNw8eJFl9cpLCyE2Wx22ojIh/hw0PBUnhIjGB+IyJdjhNc0LC5cuABFURAZGem0PzIyEhkZGRWev3v3bhw6dAgjR4502t+7d2988MEHSE1NxYIFC7Bjxw7ce++9UFx0Yc2fPx+hoaHaxlSCRD7Gh4OGp/KUGMH4QES+HCO8ao5FVbz//vto27YtOnXq5LR/wIAB2s9t27ZFu3btcNNNN2H79u3o2bNnmdeaMmUKkpOTtddms5nBg8iHSKoNkmJzeZy8S3XFCMYHIvLlGOE1PRYNGzaETqdDZmam0/7MzEyYTCaX5+bm5uLDDz/EiBEjKnyfG2+8EQ0bNsQvv/xSbhmj0YiQkBCnjYh8iA8/jfJUnhIjGB+IyJdjhNc0LAwGAzp06IDU1FRtn6qqSE1NRUJCgstzP/nkExQWFmLQoEEVvs8ff/yBixcvIioqqlrqTUR1kCoq3ui6YowgIo/hwzHCaxoWAJCcnIx3330Xa9aswZEjRzBmzBjk5uZi2LBhAIDBgwdjypQppc57//330a9fPzRo0MBpf05ODl588UV8//33OHnyJFJTU/Hggw+iefPmSEpKum6fi4i8jA8/jfJkjBFE5BF8OEZ41RyLxx57DOfPn8e0adOQkZGBuLg4bN68WZusd+rUKciyc1vp2LFj+Pbbb/HVV1+Vup5Op8OBAwewZs0aZGVlITo6Gr169cLs2bOZp5yIyqcogIvxsy7zl1ONYYwgIo/gwzFCEkLU3f6Y68RsNiM0NBSADsC1LwFPRNeDAKAgOzvb7fHvRb/rlw+uQEhwQPnlruQjvO1T1/QeVLcwPhB5G8aIqvCqHgsiIo9Q0RjZOjx+loiIKuDDMYINCyIid1U0RrYOj58lIqIK+HCMYMOCiMhNkmKDZHORo9zV2FoiIqrTfDlGsGFBROQuIeybq+NEROSbfDhGsGFBROQuH+7mJiKiCvhwjGDDgojIXTbFvrk6TkREvsmHYwQbFkRE7vLhp1FE3kyqoZS/AnV3aAtdAx+OEWxYEBG5SxUVBA3+kUFE5LN8OEbIlShDRETFFU3Mc7UREZFvquYYoSgKXn75ZcTGxiIgIAA33XQTZs+ejeJrXAshMG3aNERFRSEgIACJiYk4fvy403UuXbqEgQMHIiQkBGFhYRgxYgRycnKcyhw4cAB33XUX/P39ERMTg4ULF7pVVzYsiIjcpShXx9CWtSl1d/wsERFVoJpjxIIFC7B8+XIsXboUR44cwYIFC7Bw4UIsWbJEK7Nw4UK89dZbWLFiBXbt2oWgoCAkJSWhoKBAKzNw4EAcPnwYKSkp+Pzzz/HNN99g9OjR2nGz2YxevXqhadOmSE9Px6uvvooZM2bgnXfeqXRdORSKiMhdPjx+loiIKlDNMWLnzp148MEH0bdvXwBAs2bN8K9//Qu7d+8GHL0VixcvxtSpU/Hggw8CAD744ANERkbis88+w4ABA3DkyBFs3rwZe/bsQceOHQEAS5YsQZ8+ffDaa68hOjoaa9euhcViwcqVK2EwGHDrrbdi//79WLRokVMDxBX2WBARuasoaLjaiIjIN1VzjOjSpQtSU1Px888/AwB+/PFHfPvtt7j33nsBACdOnEBGRgYSExO1c0JDQxEfH4+0tDQAQFpaGsLCwrRGBQAkJiZClmXs2rVLK9OtWzcYDAatTFJSEo4dO4bLly9Xqq7ssSAicpcqXE++q8MT84iIqAKVjBFms9lpt9FohNFoLFV88uTJMJvNaNmyJXQ6HRRFwdy5czFw4EAAQEZGBgAgMjLS6bzIyEjtWEZGBiIiIpyO+/n5oX79+k5lYmNjS12j6Fh4eHiFH509FkRE7lKUijciqlVSGf9zfYLkenPzvSr9vlT3VDJGxMTEIDQ0VNvmz59f5uU+/vhjrF27FuvWrcPevXuxZs0avPbaa1izZs11/mAVY48FEZG7OMeCiIjKU8kYcfr0aYSEhGi7y+qtAIAXX3wRkydPxoABAwAAbdu2xe+//4758+djyJAhMJlMAIDMzExERUVp52VmZiIuLg4AYDKZcO7cOafr2mw2XLp0STvfZDIhMzPTqUzR66IyFWGPBRGRu4q6uV1tRETkmyoZI0JCQpy28hoWeXl5kGXnP9l1Oh1URwMlNjYWJpMJqamp2nGz2Yxdu3YhISEBAJCQkICsrCykp6drZbZt2wZVVREfH6+V+eabb2C1WrUyKSkpaNGiRaWGQYENCyKia1C0+FG5GxsWREQ+q5pjxP3334+5c+di06ZNOHnyJDZs2IBFixbhoYceAgBIkoQJEyZgzpw52LhxIw4ePIjBgwcjOjoa/fr1AwC0atUKvXv3xqhRo7B792589913GDduHAYMGIDo6GgAwBNPPAGDwYARI0bg8OHD+Oijj/Dmm28iOTm50nXlUCgiInepFcyjUDnHgojIZ1VzjFiyZAlefvllPP300zh37hyio6Pxf//3f5g2bZpWZuLEicjNzcXo0aORlZWFO++8E5s3b4a/v79WZu3atRg3bhx69uwJWZbRv39/vPXWW9rx0NBQfPXVVxg7diw6dOiAhg0bYtq0aZVONQsAkhBcIraqzGYzQkNDAegATtIi8nACgILs7Gynsa2VUfS7nvXxCwgJLLvLGgDMeYUIe/S1a3oPqlsYH2qP25OmK5ig7e5qyU6ngn9qeQ/GiKpgjwURkbuYbpbI45TbkHDZYHBjRLjTZVxMzC2jAVK8bmxk+AAfjhFsWBARuYtZoYiIqDw+HCPYsCAicpdNtW+ujhMRkW/y4RjBhgURkbt8+GkUERFVwIdjBBsWRETuEsL1RE7mxCAi8l0+HCPYsCAicpcPT8wjIqIK+HCM8LoF8pYtW4ZmzZrB398f8fHx2L17d7llV69eDUmSnLbi+XwBQAiBadOmISoqCgEBAUhMTMTx48evwychIq+lKIDNxeYqfznVKMYIIqp1PhwjvKph8dFHHyE5ORnTp0/H3r170b59eyQlJeHcuXPlnhMSEoKzZ89q2++//+50fOHChXjrrbewYsUK7Nq1C0FBQUhKSkJBQcF1+ERUHSQ3/0dUZUVPo1xtdN0xRviWcu/tkuS8QdY2CTrnTbrGrcR1ir9Hqfcvke6W8cgH+HCM8KqGxaJFizBq1CgMGzYMrVu3xooVKxAYGIiVK1eWe44kSTCZTNoWGRmpHRNCYPHixZg6dSoefPBBtGvXDh988AHOnDmDzz777Dp9KiLyOmpFgcP9S/75558YNGgQGjRogICAALRt2xY//PCDdrwyT84vXbqEgQMHIiQkBGFhYRgxYgRycnKcyhw4cAB33XUX/P39ERMTg4ULF1779+BhGCOIyCPUQIzwFl7TsLBYLEhPT0diYqK2T5ZlJCYmIi0trdzzcnJy0LRpU8TExODBBx/E4cOHtWMnTpxARkaG0zVDQ0MRHx/v8pqFhYUwm81OGxH5kGp+GnX58mV07doVer0eX375JX766Se8/vrrCA8P18pU5sn5wIEDcfjwYaSkpODzzz/HN998g9GjR2vHzWYzevXqhaZNmyI9PR2vvvoqZsyYgXfeeaeavpja4ykxgvGBiNhj4QUuXLgARVGcniYBQGRkJDIyMso8p0WLFli5ciX+85//4J///CdUVUWXLl3wxx9/AIB2njvXBID58+cjNDRU22JiYqrhExKRtxCKWuHmjgULFiAmJgarVq1Cp06dEBsbi169euGmm26yv18lnpwfOXIEmzdvxnvvvYf4+HjceeedWLJkCT788EOcOXMGALB27VpYLBasXLkSt956KwYMGIBnnnkGixYtqoFv6frylBjB+EBE1R0jvInXNCyuRUJCAgYPHoy4uDjcfffdWL9+PRo1aoS33367StedMmUKsrOzte306dPVVmci8gLV/DRq48aN6NixI/76178iIiICt912G959913teGWenKelpSEsLAwdO3bUyiQmJkKWZezatUsr061bNxgMBq1MUlISjh07hsuXL1fpK/FGNREjGB+IiD0WXqBhw4bQ6XTIzMx02p+ZmQmTyVSpa+j1etx222345ZdfAEA7z91rGo1GhISEOG1E5EMqGTRKDokpLCws83K//fYbli9fjptvvhlbtmzBmDFj8Mwzz2DNmjVAJZ+cZ2RkICIiwum4n58f6tev71SmrGsUfw9v5SkxgvGBiNiw8AIGgwEdOnRAamqqtk9VVaSmpiIhIaFS11AUBQcPHkRUVBQAIDY2FiaTyemaZrMZu3btqvQ1qWZVKstTWRk4XGzMGkVVVsmgERMT4zQsZv78+WVfTlVx++23Y968ebjtttswevRojBo1CitWrLjOH8x7MUb4hmvKAlUsmxMkP0iywbEFQJKMkOUAbdPJQeVuRWUkyWg/V7uOAZKkL5UxqtxMUeV8HsafOsSHGxZetUBecnIyhgwZgo4dO6JTp05YvHgxcnNzMWzYMADA4MGDccMNN2jBe9asWejcuTOaN2+OrKwsvPrqq/j9998xcuRIwJENZMKECZgzZw5uvvlmxMbG4uWXX0Z0dDT69etXq5+ViDyXUFQIW/ljZIvGz54+fdrpibXRaCyzfFRUFFq3bu20r1WrVvj000+BEk/Oi/7oLXodFxenlSmZVtVms+HSpUva+SaTqcyn78Xfw5sxRhCRJ6hsjKiLvKph8dhjj+H8+fOYNm0aMjIyEBcXh82bN2td+adOnYIsX+2EuXz5MkaNGoWMjAyEh4ejQ4cO2Llzp1MAnzhxInJzczF69GhkZWXhzjvvxObNm0stkkREpKnkqqqVHQrTtWtXHDt2zGnfzz//jKZNmwIlnpwXNSSKnpyPGTMGcMwXyMrKQnp6Ojp06AAA2LZtG1RVRXx8vFbmb3/7G6xWK/R6PQAgJSUFLVq0cMpA5a0YI4jII/jwytuSEKLufrrrxGw2IzQ0FIAOYFdmtapU17Dk5ndewT95Af5K1G0CgILs7Gy3x78X/a5fmvMkQvwN5ZcrsKD+1H9U+j327NmDLl26YObMmXj00Uexe/dujBo1Cu+88w4GDhwIODJHvfLKK1izZo325PzAgQP46aeftD9y7733XmRmZmLFihWwWq0YNmwYOnbsiHXr1gEAsrOz0aJFC/Tq1QuTJk3CoUOHMHz4cLzxxhtOaWmp+jA+VK8yY0KpGHC18WgfLis7HZO01zrH6cXLlz9CXDgWHxCi6Gnz1dWT7fsc+x3HnWNJsSfULmIQ448n8LwY4U28qseCiMgjVPPTqDvuuAMbNmzAlClTMGvWLMTGxmLx4sVaowKVfHK+du1ajBs3Dj179oQsy+jfvz/eeust7XhoaCi++uorjB07Fh06dEDDhg0xbdo0NiqIiKoTeyyoKvhEquawx4KqX9WfRl2cPrDCp1ENZq6tk0+jyD2MD9WLPRZU8xgjqqJSPRYHDhxw+8KtW7eGnx87RIioDvLhp1ElMT4QEZXgwzGiUnf2uLg4SJKEynZuyLKMn3/+GTfeeGNV60c+ptweioqeSDmVLfHESThnXxBS0b/jElkZHP++K+ol4RMl8uWgURLjA10PlYsNcok0tI6Us5LeUVSGBBmS5Ke9liU/rcei6HhZivdWCKFCFbZiPRdX99kv5OjJKHpdspNCqlzvBXkxH44RlX5ktGvXLjRq1KjCckIItGnTpqr1IiLyWEIt1V4tddyXMD4QEV3lyzGiUg2Lu+++G82bN0dYWFilLtqtWzcEBARUtW5ERJ5JEYDNxRMnpe4+jSqJ8YGIqAQfjhGValh8/fXXbl30iy++uNb6EBF5PKEKCBdd2a6O1TWMD0REznw5RnD2HBGRu9TSU3RKHSciIt/kwzHC7YaFEAL//ve/8fXXX+PcuXNQVedvZ/369dVZPyIizyMcm6vjPojxgYjIt2OE2w2LCRMm4O2330aPHj0QGRkJyd01BIjKUDqzU9Hr8vKRO+ciL57No2i/KDY7Sjiydtivo5TKOS4gykgxX/YjBakSNwRmjqrbhE1A6Fx0c7saW1uHMT5QTSg/PhSRr5ZzZIKyF9M7sj7Z/9TRyQbIsh90shEA4CcboJOM8HO81kEP2ZFBSi6RHUqBDYqwQhVWx//boKiF9mOOn4uyQqmqxb5fzb96Aad4JDtdubzPyjjivXw5RrjdsPjHP/6B9evXo0+fPjVTIyIiD+fLGT9cYXwgIvLtGOF2wyI0NJT5x4nIt/nw+FlXGB+IiHw7RpS/dn05ZsyYgZkzZyI/P78SpYmI6p6ip1GuNl/E+EBE5Nsxwu0ei0cffRT/+te/EBERgWbNmkGv1zsd37t3b3XWj4jI4wgVEIrr476I8YGIyLdjhNsNiyFDhiA9PR2DBg3i5Dwi8km+PH7WFcYHIiLfjhFuNyw2bdqELVu24M4776yZGhEReTofHj/rCuMDEZFvxwi3GxYxMTEICQmpmdqQz3FKI+j0dFMuI72sPXUgAMiyQftZJxvgJxshy45jjnSBRellBRTYVMvV1ICqBapqgyosjnLWEo8Pin7WXd1VPFWglm+22DnCOXUcUwbWbb78NMoVxgeqbqVSzZYiXy0jyY7UsvZ7tz29rAF+sj8AwOAXBKMuBP5SKAAgCOEIFPUQKAIAAAGSHwyS41xJggwJquP+bVMF8mFDASzIlwuQJ11BAXIAABaRgwLVDJtin1tkUXKBEinPFal4vLAW+4AlPp9gvKgLfDlGuD15+/XXX8fEiRNx8uTJmqkREZGHE4pU4eaLGB+IiGomRvz5558YNGgQGjRogICAALRt2xY//PDD1fcUAtOmTUNUVBQCAgKQmJiI48ePO13j0qVLGDhwIEJCQhAWFoYRI0YgJyfHqcyBAwdw1113wd/fHzExMVi4cKFb9XS7x2LQoEHIy8vDTTfdhMDAwFKT8y5duuTuJYmIvIovP41yhfGBiKj6Y8Tly5fRtWtX9OjRA19++SUaNWqE48ePIzw8XCuzcOFCvPXWW1izZg1iY2Px8ssvIykpCT/99BP8/e29dgMHDsTZs2eRkpICq9WKYcOGYfTo0Vi3bh0AwGw2o1evXkhMTMSKFStw8OBBDB8+HGFhYRg9enSl6up2w2Lx4sXunkJEVKcIIUGI8p84uTpWlzE+EBFVf4xYsGABYmJisGrVKm1fbGxssesJLF68GFOnTsWDDz4IAPjggw8QGRmJzz77DAMGDMCRI0ewefNm7NmzBx07dgQALFmyBH369MFrr72G6OhorF27FhaLBStXroTBYMCtt96K/fv3Y9GiRTXXsBgyZIi7pxAR1SnssSgb4wMRUeVjhNlsdtpvNBphNBpLld+4cSOSkpLw17/+FTt27MANN9yAp59+GqNGjQIAnDhxAhkZGUhMTNTOCQ0NRXx8PNLS0jBgwACkpaUhLCxMa1QAQGJiImRZxq5du/DQQw8hLS0N3bp1g8Fg0MokJSVhwYIFuHz5slMPSXncblicOnXK5fEmTZq4e0kiIq+iqhJUF2NkVdU3eywYH4iIKh8jYmJinPZPnz4dM2bMKFX+t99+w/Lly5GcnIyXXnoJe/bswTPPPAODwYAhQ4YgIyMDABAZGel0XmRkpHYsIyMDERERTsf9/PxQv359pzLFe0KKXzMjI6NmGhbNmjVzmZtcUVysCEJUTNkZoeSrx7QMH4AsGSHLBuhkeyvaoAuCwc+efSZQDkMgwlFP2DN9BAh7a98i2QAABXI+8qQryBfZAIB85TIKlSuw2uyZOxS1AKqwlaibvR7CkfnpanYP5eqjhmLnCKnEv/timT2YIaoOUiUIV40HH21YMD5QdSk3G1QF2QMBnZYxUJL8oJMNMBbFCr8GCEM0GqkNAQAN9f6o7++HcIP9mmEGgWA/+z3aXyeglwRURz0KFBlZVgMuFgbiQoHA5cIGuKTkAQCy5GyYdeeRL10GAKiOuKGoFq2mqii8Wm1RPCZQnVTJGHH69GmnTHpl9VYAgKqq6NixI+bNmwcAuO2223Do0CGsWLHC43qK3W5Y7Nu3z+m11WrFvn37sGjRIsydO7c660ZE5JGEcJ0V0lczRjI+EBFVPkaEhIRUKkV3VFQUWrdu7bSvVatW+PTTTwEAJpMJAJCZmYmoqCitTGZmJuLi4rQy586dc7qGzWbDpUuXtPNNJhMyMzOdyhS9LipTEbcbFu3bty+1r2PHjoiOjsarr76Khx9+2N1LEhF5FU7eLhvjAxFR9ceIrl274tixY077fv75ZzRt2hRwTOQ2mUxITU3VGhJmsxm7du3CmDFjAAAJCQnIyspCeno6OnToAADYtm0bVFVFfHy8VuZvf/sbrFarltUvJSUFLVq0qNQwKFzLOhbladGiBfbs2VNdlyvXsmXL0KxZM/j7+yM+Ph67d+8ut+y7776Lu+66C+Hh4QgPD0diYmKp8kOHDoUkSU5b7969a/xzEJH3UhWpwo2uul7xAYwRROQBqjtGPPfcc/j+++8xb948/PLLL1i3bh3eeecdjB07FgAgSRImTJiAOXPmYOPGjTh48CAGDx6M6Oho9OvXD3D0cPTu3RujRo3C7t278d1332HcuHEYMGAAoqOjAQBPPPEEDAYDRowYgcOHD+Ojjz7Cm2++ieTk5ErX1e0ei5Iz2IUQOHv2LGbMmIGbb77Z3cu55aOPPkJycjJWrFiB+Ph4LF68GElJSTh27FipCSkAsH37djz++OPo0qUL/P39sWDBAvTq1QuHDx/GDTfcoJXr3bu3Uwqv8sa4UfUpe/xs6RVUJccq2pLkBz+dPwy6IABAgF8DBMv2/+YNFRNu0AcjOsj+z7mhEbCoEsxWe19jVqHAZYsVl1T7eNgLukxkyxnIgb17T9hUQEWx+Rx+2ireQqgQQtXmYAhh035Wi2V8kEp0eTrNufDVcTF1GHssylab8QGMEXWbi7k75Z8iQ5b02pyLQCkc0WokmgTZc/o3qSchJkBFTGABACCqXi7Cg+2rZweGWKALENr0DaUQuHLBH0cyG+KI2R8ncvTwz6sHANBb/KDKKhTZvqK2VbZfwyrlFquNriqfnrxMdceIO+64Axs2bMCUKVMwa9YsxMbGYvHixRg4cKBWZuLEicjNzcXo0aORlZWFO++8E5s3b9bWsACAtWvXYty4cejZsydkWUb//v3x1ltvacdDQ0Px1VdfYezYsejQoQMaNmyIadOmVTrVLABIQrj3V48sy6Um5wkhEBMTgw8//BAJCQnuXM4t8fHxuOOOO7B06VLAMZklJiYG48ePx+TJkys8X1EUhIeHY+nSpRg8eDDgeBqVlZWFzz777JrrZTabERoa6rhx+OYfFO4q1bCQJJcNC1kyQO8XWLWGhWOi3QU5E9kiAzlWe8PCYrsCVbVcQ8Oi+GQ858nfAmU3LDh52xMIAAqys7MrNba1uKLf9aN9ByNYbyi33BWrBS03fXBN7+HNajM+wENjBOPDtSk7RpRUevK2VKwhodP5Q68Lgr+fPbFHfb9maKY2Q5PA6mhYSDibZ7/Pn7cUIFM+j2zYM+vk2s4DAPIsF7SaWmxXG91Czb/6M8pP/MF4UVsYI6rC7R6Lr7/+2um1LMto1KgRmjdvDj8/ty9XaRaLBenp6ZgyZYrTeycmJiItLa1S18jLy4PVakX9+vWd9m/fvh0REREIDw/HX/7yF8yZMwcNGjQo9zqFhYUoLLz6R2XJp3REVLdx8nbZais+wINiBOMDEflyjHD7Tn/33XfXTE0qcOHCBSiKUmaO3qNHj1bqGpMmTUJ0dLTTAiK9e/fGww8/jNjYWPz666946aWXcO+99yItLQ06Xdldl/Pnz8fMmTOr+ImIyFupqgxVLX+KmqtjdVltxQd4UIxgfCAiX44RlWpYbNy4Effee682Q7wiX3zxBXr06IGAgICq1q/avPLKK/jwww+xfft2p/FmAwYM0H5u27Yt2rVrh5tuugnbt29Hz549y7zWlClTnCaymM3mUoucUFU55yPXyQboZCP0OvuY1kA5HPUV+1CoJoYQtAzT4c6G9qFO8e3+xPFjDXEixz5s6kyBHmfzjfgz1/7v17/AAEmSYdXZy9uUfKiwwKi3d5cbdcGQJB2EUKAKGxS1EDbHsCdFtQCO3ORCujrJomi9i6s7mK+/LlOFBNXFGFlXx+qauhAfUI0xgvGh6spdw0JTuT/K7ENZr96L9cKIJoH+uCXUfv2WwYVoVf8yom66AgDwbxUE6UZHqs6oCIjwUMDx71QY/REYHIwGk96H385oFKpBKFDsDcs8RY8ANRD5ciAAIF9bR+NqPYv/LIr97CpWcA0k7+XLMaJSv50PPfQQsrKyKn3RAQMG4OzZs1WpVykNGzaETqcrM79uRbl1X3vtNbzyyiv46quv0K5dO5dlb7zxRjRs2BC//PJLuWWMRqOWe7iyOYiJqO4QjsWPXG2+whPiAzwoRjA+EJEvx4hK9VgIITB06NBKZ8IoKCioar1KMRgM6NChA1JTU7XUWaqqIjU1FePGjSv3vIULF2Lu3LnYsmULOnbsWOH7/PHHH7h48aLTAiNUg0pOyCv1hMf+Wpb94CcbYJDsT48CRAjCJXuPRHSQDvH1C9BjtL0HQthCkXv46tNTvQToZcDPcWkZEhTp6iRsm1IARbUgzNAEAHCjeiuuSFeQJ19BPrJhEfmwqDmOsvmwKPZMH6LYhG1FWEt8sOJt9qtPpEo+ieNTKO/ky+NnS/KE+ADGCJ9U8n5avFcAjh4LVdhgc0yWztVdxqHcUGTmBwMATuYYcfSKCTdesM+XaXY4F6Yw+wTs4IYnoQ8B5AD7e0gGGfLkQdA/9Rc0/Wk3fskJQIAjqPjrdDAqBuiF/XdAp2UzrLvDXcg1X44RlWpYuLtc+MCBA2vkKU1ycjKGDBmCjh07olOnTli8eDFyc3MxbNgwAMDgwYNxww03YP78+QCABQsWYNq0aVi3bh2aNWuGjAz7DaNevXqoV68ecnJyMHPmTPTv3x8mkwm//vorJk6ciObNmyMpKana609EdYMiZCguxsgqwnf+oPCU+ADGCCLyEL4cIyrVsCiev7s2PfbYYzh//jymTZuGjIwMxMXFYfPmzdpkvVOnTkGWr/7HWr58OSwWCx555BGn60yfPh0zZsyATqfDgQMHsGbNGmRlZSE6Ohq9evXC7NmzmaeciMolKhg/60vrWHhKfABjBBF5CF+OETWb/68GjBs3rtxu7e3btzu9PnnypMtrBQQEYMuWLdVaP7pWslO3tiTJkCBrXckS7Asd6SX75LggEYRQx2TRBkagUUABRL59OFLuD7m4VBgG4bieXhYI0AkE+tlfB+n8EKyEI1cXBgCwGvJhteXiBtW+gNftYcH4My8QFy2hyJJCkStlI1d3GQBQIJmhOiZqK45J3ACgimJrWgBAsZuGKD7cqy73f/oQLpDnuRgj6iCnIbMlnvQWGzJbmgpFtaDQZp+cfV45inP4CUEGe0PzeE5TRJqjEW20x5WowDCYAuxxocEJFfX8VOgcq59aVQm3ffcZYlpmIzMnEjYhQXZUSycBOuigw7UMgSpZlok/6gJfjhFe17AgIqptqmNzdZyIiHyTL8cINiyIiNykqJLr8bN1OOMHERG55ssxgg0L8mhFXcqyrIcs6eEn2cc1G1UDjDr7sSA/oJ7BAinIAADQh+Wgkf/VzDOhej0CdXroZfs/dz9JD7/chtBb7d3WmYZ6yPE7jxYB9tV2OzWw4Se9Hn/kBsK/wA/Zqj90sr2sTtZD6Oxd1TYlX3sPRXXO4S9gAdVdvtzNTVSTKl7DooLznYYh2X8uygCoChskyFAdWfxUqfznxqqwb3DUp1CVcCI7BJbDOvyZF4AcmwRFLXoXCX6wD991X11+du27fDlGsGFBROSmq390lH+ciIh8ky/HiGtqWKSmpiI1NRXnzp2Dqjq3tleuXFlddaM6qPIrquq0CdxXj8iQoXMc1cFo/xH+soDRYNNWSNUFyQjS2+Dn6FkIsNngr1NgkO09GgZZD6NOj4C8cABASEEgLkiRuK2BvW5dG2dA/tMEQA9ZMkBfIEPnWGFVJ/vBprNP1C7UXdHqZrXllPiglVtZlbyTLz+NqgjjA1UrbeJ2sTWOiuKIY+L21V4KnSPpx9WVr2XJ72oSkGLJQABAFjLk4qtbC8Dq+CdboEqATdZWGspTZFhUCXmKjMwCP+TaAJu4WkVJkiCj6Pq6avnoXOfIe/lyjHC7YTFz5kzMmjULHTt2RFRUFKSSC5wREdVxipCguAgMro7VZYwPRES+HSPcblisWLECq1evxpNPPlkzNSIi8nBqBTnKXR2ryxgfiIh8O0a43bCwWCzo0qVLzdSGqByyo7tbdqxWKUPSnobKkgpZEkDRwlcyIEkCetnep603qNDrVOgcE/UCdCqC/fSo7xhLFVEQgPP5/ugReQkAEN1bh1s+MeNCYTgKFAk6yQ/+Fnuec71VB4tkn7SdJ1/U6lcglfxVKj2B0I7DouoCAQmqi2F9oooTUL0V4wPVtJLDae3Dm+z3cvuwJz/IjkQdsuQHnWyEn2MYrJ8cAFXYYJTrAQD8EQS9pIPOEUtUAAWKI64AyJclbWhUrk2CBB2u2GTk2gCLKsHPscaFv06C3jFYFwCE4z4vxNWhgMV/huCE7brOl2OE2ykMRo4ciXXr1tVMbYiIvIAQFW9V8corr0CSJEyYMEHbV1BQgLFjx6JBgwaoV68e+vfvj8zMTKfzTp06hb59+yIwMBARERF48cUXYbPZnMps374dt99+O4xGI5o3b47Vq1dXrbLFMD4QEdV8jPBkbvdYFBQU4J133sHWrVvRrl076PXOaTYXLVpUnfUjIvI4ipChCBc5yl0cq8iePXvw9ttvo127dk77n3vuOWzatAmffPIJQkNDMW7cODz88MP47rvv7O+pKOjbty9MJhN27tyJs2fPYvDgwdDr9Zg3bx4A4MSJE+jbty+eeuoprF27FqmpqRg5ciSioqKQlJR0zXUuwvhARFSzMcLTud2wOHDgAOLi4gAAhw4dcjrGiXp0vagQEI4mvyIk2GwyUOjITZ6rIteqtw+PAmDQKTD62RDueB2ktyHc6IfGVvs//1ybH7KtOrQZ5w8AEPGdEbl1KwIvhcFfJyMkCCjwt5c15srIyW8IALgsn9bqU9T1ruGIpzqtplIJ5uTkYODAgXj33XcxZ84cbX92djbef/99rFu3Dn/5y18AAKtWrUKrVq3w/fffo3Pnzvjqq6/w008/YevWrYiMjERcXBxmz56NSZMmYcaMGTAYDFixYgViY2Px+uuvAwBatWqFb7/9Fm+88Ua1NCwYH+haubV+hZYFStYyCALQhkHpHEOf9HIA9LogbehTgBwOmyhEAEIAACFqMIL8/GDUXX1vi3o1rlhVgXxHh5/ZqkBRAYsqQydJkCUg0M9+XrgRuFio05akKBr2JDjkyWcx3awbvv7665qpCRGRl6ipiXljx45F3759kZiY6NSwSE9Ph9VqRWJioravZcuWaNKkCdLS0tC5c2ekpaWhbdu2iIyM1MokJSVhzJgxOHz4MG677TakpaU5XaOoTPEhV1XB+EBExMnb1+yPP/4AADRu3Li66kM+z3mym3C8VqFCCBU22d4roUBBoaNXoECRkGsxQFzMtb8+L+NigRE21f4Uq57eAn8/BQY/+6OnoIBCNJAF/Pzs1/YzKAior0B9cAQAQN66HX9eDEGWVUauTaBluA3Ng+3X3poZiguF9qdff6KeVteSK64WX/21Lo+l9FUCksvJd0XHzGaz036j0Qij0VjmOR9++CH27t2LPXv2lDqWkZEBg8GAsLAwp/2RkZHIyMjQyhRvVBQdLzrmqozZbEZ+fj4CHGvBVAfGB6oSpx6usoeNSJKsrVUBR8+xTjbAoAsCAOh19RAohyEYEQCABkoDWGGD3vGnT0O/AIQZdVrPg066uo5FniqQZxPIcgSa87ZcXJQv4ujlQBiF0bHOtv28mwJDEKzXwVZojzE2YV/rSDitqs1ubF9S2RhRF7k9yEtVVcyaNQuhoaFo2rQpmjZtirCwMMyePbvUYkhERHVRUY5yVxsAxMTEIDQ0VNvmz59f5vVOnz6NZ599FmvXroW/v/91/jTVh/GBiKjyMaIucrvH4m9/+xvef/99vPLKK+jatSsA4Ntvv8WMGTNQUFCAuXPn1kQ9iYg8RmXHz54+fRohISHa/vJ6K9LT03Hu3Dncfvvt2j5FUfDNN99g6dKl2LJlCywWC7Kyspx6LTIzM2EymQAAJpMJu3fvdrpuUdao4mVKZpLKzMxESEhItfRWMD4QEXGOhVvWrFmD9957Dw888IC2r127drjhhhvw9NNPM3CQSwL236aKJ+opTv88hVChCCsUYR8KZYENhYr9CegVmw6XC4ywnrKvQ3EhMxhnCvTIVey5zcNsOoQZLAh1TN4OCLAiMMQCQ337a78GfpAjQiFtSbW/c/ppRIYa0LrQCH+dP24JyUHL1ucBAL/lBOGIwZ7pxmAN1OpXavK2I6861U2VHT8bEhLi1LAoT8+ePXHw4EGnfcOGDUPLli0xadIkxMTEQK/XIzU1Ff379wcAHDt2DKdOnUJCQgIAICEhAXPnzsW5c+cQEWEf+pGSkoKQkBC0bt1aK/PFF184vU9KSop2japifKCaosUMSS422EJnH5AklVy3wt5IDpTDEAoTIoQ94YbJ3x82VWijrMKNOgT5AQbZvkMAKFDscaFQETBbFFyw2dctytCdwUXbb7AouVqdiiZn/5wfAZN0C7JwBgC0MqpqK1UWxeIg1V2cY+GGS5cuoWXLlqX2t2zZEpcuXaquehEReSzh2Fwdd0dwcDDatGnjtC8oKAgNGjTQ9o8YMQLJycmoX78+QkJCMH78eCQkJKBz584AgF69eqF169Z48sknsXDhQmRkZGDq1KkYO3as1lPy1FNPYenSpZg4cSKGDx+Obdu24eOPP8amTZvcrHHZGB+IiKo/RngTt+dYtG/fHkuXLi21f+nSpWjfvn111YuIyGMpkGAT5W9KDUzMe+ONN3Dfffehf//+6NatG0wmE9avX68d1+l0+Pzzz6HT6ZCQkIBBgwZh8ODBmDVrllYmNjYWmzZtQkpKCtq3b4/XX38d7733XrWkmgXjAxERUEsxwlO43WOxcOFC9O3bF1u3btW6z9PS0nD69OlSXexEladCaDk27IQjExQAqMIKVdhggz3bRoGcj1xbMAAgy6JDRoE/sk7Yc5efzA7F77k6hBrs7WazXkaeotMmS+l1CgKCrZAdw93lYAOkQANw2d59LRl1CG1YgCb5OVCEhJhG2Qhoa88AFX2gAMF6+896y9Xx8iWzQhVXfNhXXX5K4UuEkCBcdGW7OlZZ27dvd3rt7++PZcuWYdmyZeWe07Rp0wrvw927d8e+ffuqXL+yMD7Q9XB13QpZ2+AYCqWXA7R1KwIRjnA1HJFGe0KEJvV0sKpXByKF6gF/HbQ7c4FyNSuUIoACRUWOZI8L+SIbNiUfNiUfimqBEDYtPtmUfCj+Nlhs9ixwVpv9HCGKr3rP5AW+5HrECE/ldo/F3XffjZ9//hkPPfQQsrKykJWVhYcffhjHjh3DXXfdVTO1JCLyIGolNl/E+EBE5Nsx4prWsYiOjuYkPKoZRSuWOn71ip74CKFCUQthFXkAgDz5CsxKKADgYoEef+T74dfM+gCAo1f88XuOgiC9vd0cbtDBbJNRoNhfq0KCn58Kv0D7teR6FsiGYpOthYBfoEBwUAEaFBpQL9ICqbE9q06YMdfxhAvQQX+dvhTyNL6c8aMijA/kLtfJPEo+/yz9umgdCz/ZCJ1shEGy91jUE6EI1/kjKsh+TmyQggJVQoFif79QvQq9BFgdv6+yJCNfKaqLgE2oUCR7DFKFFYqwQVEtUNQCqGqh9uehKgphLlCLrbhddE7xHotycKGjOsmXY0SlGhYHDhxAmzZtIMsyDhw44LJsu3btqqtuREQeqaI85HU5R3lJjA9ERM58OUZUqmERFxeHjIwMREREIC4uDpIkQZTRypYkCYrC1SWJqG7z5VVVS2J8ICJy5ssxolINixMnTqBRo0baz0TVpugPEKnkL5kKQCk2edsGm1oIq2rPKZ4vZSNbtk/evlBowKlcI4L9ggAAP5slnCzIhn+hfTJ3qM6AyxY/5Nrs/9wL1UAoxXJM17fmwnglB5Le/lotVKHY54hDL6vQBQAIsk/+89OZS1eVfI4vd3OXxPhA1599PKp9DQvZaTK3n2SEEfY1hgJFAEINfoh0LGZ/S3AesiwGXLLYY0GwXoEEoQ2TtaoS9I41LXQSIJe42Re9jz0uqRCOdZWEsMJiVbXjRYqvXYHiP9fpEfYEH48RlWpYNG3aVPv5999/R5cuXeDn53yqzWbDzp07ncoSEdVFvhw0SmJ8ICJy5ssxwu2sUD169ChzoaPs7Gz06NGjuupVrmXLlqFZs2bw9/dHfHw8du/e7bL8J598gpYtW8Lf3x9t27YtlfJQCIFp06YhKioKAQEBSExMxPHjx2v4U1B5hON/cDztEbBvqmqfNFeU7q9ANSMb55GN87ggzPgjx4Yj2TKOZMv47Uoh/pB/xUn5N5yUf8Nx9Qx+vpKDI1kKjmQpOJytw6HsIBw5Xx9HztfHyd8a4NxP/sg6pkPWMR3MJ/XIPuePK7n+KFCcV9C22HSwKIBFARRYta2onkVbWZ+Jq63WHapj/Gx5W11eVdWV2o4PYIyoG0r2FECyr7gtlf0niwRZ672QIUMHPXTQwyj5IVgvIdrfhmh/G1o1Po8bgvIQ6Kci0E+FQVahlwX8ZMBPBmQJjgEsApJkv6pO+EEn/CBLeugkP8iSn6NnotgmBCBsjhS09jS0Rb0aRRvjgG+pyRjxyiuvQJIkTJgwQdtXUFCAsWPHokGDBqhXrx769++PzMxMp/NOnTqFvn37IjAwEBEREXjxxRdhszknGNi+fTtuv/12GI1GNG/eHKtXr3a7fm43LISw/8KVdPHiRQQFBbldAXd89NFHSE5OxvTp07F37160b98eSUlJOHfuXJnld+7ciccffxwjRozAvn370K9fP/Tr1w+HDh3SyixcuBBvvfUWVqxYgV27diEoKAhJSUkoKCio0c9CRN7Ll1MJulKb8QGMEUTkIWoqRuzZswdvv/12qUQYzz33HP773//ik08+wY4dO3DmzBk8/PDD2nFFUdC3b19YLBbs3LkTa9aswerVqzFt2jStzIkTJ9C3b1/06NED+/fvx4QJEzBy5Ehs2bLFrTpWOt1sUQUlScLQoUNhNF5dHExRFBw4cABdunRx683dtWjRIowaNQrDhg0DAKxYsQKbNm3CypUrMXny5FLl33zzTfTu3RsvvvgiAGD27NlISUnB0qVLsWLFCgghsHjxYkydOhUPPvggAOCDDz5AZGQkPvvsMwwYMKBGPw8ReSdfXvyoLJ4QH8AYQUQeoiZiRE5ODgYOHIh3330Xc+bM0fZnZ2fj/fffx7p16/CXv/wFALBq1Sq0atUK33//PTp37oyvvvoKP/30E7Zu3YrIyEjExcVh9uzZmDRpEmbMmAGDwYAVK1YgNjYWr7/+OgCgVatW+Pbbb/HGG28gKSmp0vWsdMMiNNS+ZoAQAsHBwQgICNCOGQwGdO7cGaNGjar0G7vLYrEgPT0dU6ZM0fbJsozExESkpaWVeU5aWhqSk5Od9iUlJeGzzz4DHK2zjIwMJCYmasdDQ0MRHx+PtLS0coNGYWEhCgsLtddms7nKn8/XCIgycperVzvRhApIuDo5DjJUIWuTtyVFRp6j7AWdDqoiUGC2/xv9HWdx2XJCm0hn1IWgQHcDUBgDANDLgfDX6WCQ7ZO7JQCKKqFeoQUA4KezP0sw6m1oHFAIQ9LNgMXeXXihIABXHEnPrdLVfwNOk/QAAMx+U5dV9MTJ13osajs+wINiBOPD9VV8wrQEHSRJB8kRG3SQYNABDY32ONJgSGM0uLEJ2vzjf1cvoABKjv2enn9JhwsX7GtgnL4SjBO5RvyWE2V/nROBP9RcnNNnwCwykKdcRIE1GwBgU/Icq3FbHRd13AFKxYWKcahU3VATMWLs2LHo27cvEhMTnRoW6enpsFqtTvepli1bokmTJkhLS0Pnzp2RlpaGtm3bIjIyUiuTlJSEMWPG4PDhw7jtttuQlpbmdI2iMsWHXFVGpRsWq1atAgA0a9YML7zwwnXp1i7uwoULUBTF6UsBgMjISBw9erTMczIyMsosn5GRoR0v2ldembLMnz8fM2fOvObPQkTeTRH2zdVxX1Lb8QEeFCMYH4iosjGi5IMHo9Ho1ONb5MMPP8TevXuxZ8+eUscyMjJgMBgQFhbmtL/kvays+xiK3efKK2M2m5Gfn+/0wMgVt+dYTJ8+vVaChieZMmUKsrOzte306dO1XSUiuo7sGT8kF1tt17B2MD4wPhBR5WNETEwMQkNDtW3+/PmlrnX69Gk8++yzWLt2Lfz9/a//h3FTpXosbr/9dqSmpiI8PBy33XZbmZPziuzdu7c666dp2LAhdDpdqVnumZmZMJlMZZ5jMplcli/6/8zMTERFRTmViYuLK7cu5bUoqQqEcMoEIhzLx2jrWMAGqIDN6RT7MUVYUSBnIwN6AIBV5EERNq07XIUKFQqsjrMLFIEcq8Blq2OolKyHIiSE2uznB/jZ4O9nQ4DeioBAK2w7f8Pe1IYAgB8uheCCY5hDIXJK1YV8g3Bsro77Ck+ID/CgGMH4cH0Vv/cKKBBCgZDs+6xQkW8DzuTb/3uYPzqBeu/1gN84+9A9WC2ATYE+NxcA4H8pC+Gn7BP9Y38+g3bHdPgtoz4A4Gh2PRzPCcGfufVwtqAxzvldxEW/PwAAubbzuFJwBkrRCKiSQ6LI51Q2Rpw+fRohISHa/rLuHenp6Th37hxuv/12bZ+iKPjmm2+wdOlSbNmyBRaLBVlZWU69FiXvZSUz5BXd+4qXKet+GBISUuneClS2YfHggw9qH7Zfv36Vvnh1MhgM6NChA1JTU7U6qKqK1NRUjBs3rsxzEhISkJqa6jQ+LCUlBQkJCQCA2NhYmEwmpKamakHCbDZj165dGDNmzHX5XETkfWzCvrk67is8IT6AMYKIPEhlY0RISIhTw6IsPXv2xMGDB532DRs2DC1btsSkSZMQExMDvV6P1NRU9O/fHwBw7NgxnDp1SruXJSQkYO7cuTh37hwiIiIAx70uJCQErVu31sqUTLdd/H5YWZVqWEyfPr3Mn6+35ORkDBkyBB07dkSnTp2wePFi5ObmahlABg8ejBtuuEHrSnr22Wdx99134/XXX0ffvn3x4Ycf4ocffsA777wDODKYTJgwAXPmzMHNN9+M2NhYvPzyy4iOjq7VAElEnk2Iq4vGl3fcV3hKfABjBBF5iOqMEcHBwWjTpo3TvqCgIDRo0EDbP2LECCQnJ6N+/foICQnB+PHjkZCQgM6dOwMAevXqhdatW+PJJ5/EwoULkZGRgalTp2Ls2LHag6GnnnoKS5cuxcSJEzF8+HBs27YNH3/8MTZt2uTWZ6/05O0ip0+fhiRJaNy4MQBg9+7dWLduHVq3bo3Ro0e7ezm3PPbYYzh//jymTZuGjIwMxMXFYfPmzdpkk1OnTkGWr04b6dKlC9atW4epU6fipZdews0334zPPvvM6T/QxIkTkZubi9GjRyMrKwt33nknNm/e7BXj2Lxd+Zmh4Fh0yJ4ZCo6uZbXYYRsAVbUPbbKphSiUr0B2DH1ShA2KWqhlC7EqOciRziHDsdad1RqJXHMIzhfYhz6dMugQYvBDkJ/9l8sgA0ZZQC8Dfn8KiJ+A03n2k09cUXBO2DOBFIqrQ6FU4bzIDIdG1W0CEtRS/3adj/ui2owPYIyos0QFv1FFi5IKYR/0WpSxr0C14HKhESfz7H/q/O9IY3R6fC2CGtgzAMpG+5p7iiOJlzVHRk62PQ6cMzfAmbwAnM6zZw88nSfjTJ6C8wUWXMYV5EhZsKp5AABFLYQs+0EVsqMeZdWyWEzwpScPPup6x4g33ngDsiyjf//+KCwsRFJSEv7+979rx3U6HT7//HOMGTMGCQkJCAoKwpAhQzBr1iytTGxsLDZt2oTnnnsOb775Jho3boz33nvPrVSzACAJ4d6/8LvuugujR4/Gk08+iYyMDNxyyy1o06YNjh8/jvHjxzsttuErzGazI92iDvDRPyiulVPDwmlstnx1tdWi15IesmQPELJs0H7WyQbIsr7choVBFwR/vzDUk+3dfw3USDSUQhBusDcswgwyQgwSgvzsvwpODQvJnvyveMPiWOEFAMBJsV+rbXb+706fy2rL1n6+Ot4WgHBOQ8vUgrVBAFCQnZ1dYRd0SUW/66+0mAJ/Xfl/WBYoBZh8bP41vYc3Y3wojfGhYqUeMJWIBfZdOu21JNnv3bLkB1k2wM/xu1h0rw+R7fNhIpQoNDYEo0WYPVZ0CC9ApyYZlWxY1Cu3YXEBZlyWzyFHtc/HyLdeQoEtGzbF3tBQVccFiz1wEsVTkLv4s4sxwRMwRlSF21mhDh06hE6dOgEAPv74Y7Rt2xY7d+7E2rVrr2npbyIib1M0ftbV5osYH4iIfDtGuD0Uymq1auOxtm7digceeABwLMZx9uzZ6q8h1WlFT2ck+2p4xZ5UqRCQtSf8ElQIAKrjqY+q2LQeC0UtKLONXNRjIYQKRdhg0zm6x3VmXJbCEWgJBgDUK6gHf8mAgKIeEEmCTpIgS/aUcVah4orjSVS2ZMZ56ZT9OtYs7b1U1VLi3dVyfqa6gFmhysb4QNei1LDYElkC7fsc91EJ2gKkAjKEULVhsYpsg1XNR75k7zG+LBuhs+igZgUCAMwWI45eaYpwvf1aAToBnSS01J8WVUaOYn9fs1VClgW4XGg/eLHQgku2AmTL2bgiXUKeehkWxZ5NyqYWcvgrOfHlGOF2j8Wtt96KFStW4H//+x9SUlLQu3dvAMCZM2fQoEGDmqgjEZFHsecod735IsYHIiLfjhFuNywWLFiAt99+G927d8fjjz+O9u3bAwA2btyodYETEdVlRRk/XG2+iPGBiMi3Y4TbQ6G6d++OCxcuwGw2Izw8XNs/evRoBAYGVnf9iIg8DtexKBvjAxGRb8cItxsWcKStstls+PbbbwEALVq0QLNmzaq7buRDtDG2xZvxUvEVVWVAWAFxddytUixjFIrNqbjKnkVEVS2wKQWwyvbxsPnyJVyRz0An28eC62Qj/GCEzrFytyRkyOLqqt0CKqywz7GwqYUotF0BAFgc/w8Aqigs8YE43rYu8+XxsxVhfKDqpZYaXHF1PoMKAZu24jVs9mNFx226QuTJ2bhoszdy/8gKRb1sf/jL9thglGXois3lUIQKq2OMSoFqQ76wIU/KBwDkSNnIl80oFDmwKnmwKrmwObI/2dQCCGErNc+iMhmemAWqbvLlGOH2UKjc3FwMHz4cUVFR6NatG7p164bo6GiMGDECeXl5NVNLIiIP4svjZ11hfCAi8u0Y4XbDIjk5GTt27MB///tfZGVlISsrC//5z3+wY8cOPP/88zVTSyIiDyIgVbj5IsYHIiLfjhFuD4X69NNP8e9//xvdu3fX9vXp0wcBAQF49NFHsXz58uquIxGRR1EEYHMx2k2pw0+jXGF8ICLy7RjhdsMiLy8PkZGRpfZHRESwq5uIfIIvj591hfGBiMi3Y4TbQ6ESEhIwffp0FBQUaPvy8/Mxc+ZMJCQkVHf9iIg8ji+Pn3WF8YGIyLdjhNs9Fm+++SaSkpLQuHFjLUf5jz/+CH9/f2zZsqUm6kg+onh2jFIZoopWWi2+GqtjVe6i9nFRcW0FV0eWKEUUApChqEXZo/SQIGtZpCTJD5IkQyqnnS1wNcuIPeOIfZXX4pmgRImVtwWUYi9Esf11+G7iQ4Tjf66O+yLGB7pWRb8z2v1bu6FLjuxPjvu1UHG1iBUqFEhwjDlRVajCBptiz+RUKJuRJxth1gUAAM5L9gyAsrBnANQp+lL3fRVWAIAi2aDACpvjPq8ohVDUQtjUQqjCZt8cK34Lx2shrI6K2cr4gL55T/BVvhwj3G5YtGnTBsePH8fatWtx9OhRAMDjjz+OgQMHIiAgoCbqSETkURTheoxsXR4/6wrjAxGRb8eIa1rHIjAwEKNGjar+2hAReYGKurLrcjd3RRgfiMjX+XKMuKaGxbFjx7BkyRIcOXIEANCqVSuMGzcOLVu2rO76ERF5HCFcj2zw5VEPjA9E5Ot8OUa4PXn7008/RZs2bZCeno727dujffv22Lt3L9q2bYtPP/20ZmpJRORB1EpsvojxgYjIt2OE2z0WEydOxJQpUzBr1iyn/dOnT8fEiRPRv3//6qwfEZHHUVUUn55f5nFfxPhAROTbMcLtHouzZ89i8ODBpfYPGjQIZ8+era56ERF5LF9+GuUK4wMRkW/HCLd7LLp3747//e9/aN68udP+b7/9FnfddVd11o18WFmp2EqnoC3ieC7gSEWrlXBKR6sAoui4RUtFe/U4tPSzpeoiit8C1GL7lTL3Ow66/Czk3Xx5/KwrjA9UVQLiaspZOH6ZHCln7cdl7d4uOdLQaunAJSsAHWTJ/qeNohbAKvlBsmUDAOQSqcUlSVd+PYTiSCFb9L6qI72sPf24KmxX06ALx5+KWtmiG0Bd/vORXPHlGOF2w+KBBx7ApEmTkJ6ejs6dOwMAvv/+e3zyySeYOXMmNm7c6FSWiKiuqeiJk6/+OcH4QETk2zFCEsK9dpMsV270lCRJUBRXI8zqDrPZjNDQUAA6oPiTFqpWUkXfrVTecbn0+eyx8GECgILs7GyEhIS4dWbR7/oQ02QYZP9yy1nUAqzJeOWa3sObMT6UxvjgvlL3eqd7u+xcTpJL3MOv9lhIkqwtgIra7rEo508txgdPxBhRFW73WKh1ecYJEVEliOJD7so57osYH4iIfDtGXNM6FkREvsyXFz8iIiLXfDlGsGFBROQmXw4aRETkmi/HCDYsyGu4GotafsYoXB0HW3ycrtP8CPt428rNNipnqEeJkzlutm5TBKC4+Aej8D8/0TUrMzNUEanYPDdHhiipKGOUsM+fU4TVXlSbN6dzei0Vn6dRYm5d8Tl1wmlOnQpAKXa8+PwJtcQ9Xy1d7xKfj+o2X44Rbq9jUVsuXbqEgQMHIiQkBGFhYRgxYgRycnJclh8/fjxatGiBgIAANGnSBM888wyys7OdykmSVGr78MMPr8MnIiJvVZRK0NXmjvnz5+OOO+5AcHAwIiIi0K9fPxw7dsypTEFBAcaOHYsGDRqgXr166N+/PzIzM53KnDp1Cn379kVgYCAiIiLw4osvwmazOZXZvn07br/9dhiNRjRv3hyrV6++9i/CgzBGEJGnqO4Y4U28pmExcOBAHD58GCkpKfj888/xzTffYPTo0eWWP3PmDM6cOYPXXnsNhw4dwurVq7F582aMGDGiVNlVq1bh7Nmz2tavX78a/jRE5M0EBFQXm7tPJHfs2IGxY8fi+++/R0pKCqxWK3r16oXc3FytzHPPPYf//ve/+OSTT7Bjxw6cOXMGDz/8sHZcURT07dsXFosFO3fuxJo1a7B69WpMmzZNK3PixAn07dsXPXr0wP79+zFhwgSMHDkSW7ZsqaZvpvYwRhCRp6juGOFN3E43+5e//AV33303pk+f7rT/8uXL6N+/P7Zt21bddcSRI0fQunVr7NmzBx07dgQAbN68GX369MEff/yB6OjoSl3nk08+waBBg5Cbmws/v6J0dBI2bNhQpUDBdIK1r8JUtKg4HW3lcCiU96t6KsFHGkyCXjaWW86qFuLfFxdccyrB8+fPIyIiAjt27EC3bt2QnZ2NRo0aYd26dXjkkUcAAEePHkWrVq2QlpaGzp0748svv8R9992HM2fOIDIyEgCwYsUKTJo0CefPn4fBYMCkSZOwadMmHDp0SHuvAQMGICsrC5s3b3a7niXVRnyAh8cIxodrU+49vYzUs6VTiZdMIc6hUOQOz48RnsztHovt27dj6dKl6Nevn9PTNIvFgh07dlR3/QAAaWlpCAsL0wIGACQmJkKWZezatavS1yn6D1gUMIqMHTsWDRs2RKdOnbBy5Uq42dYiIh+jCFHhVhVFw3Hq168PAEhPT4fVakViYqJWpmXLlmjSpAnS0tIAx32ybdu2WqMCAJKSkmA2m3H48GGtTPFrFJUpukZV1UZ8AGMEEXmYmo4RnuyahkJt3boVGRkZ6Ny5M06ePFn9tSohIyMDERERTvv8/PxQv359ZGRkVOoaFy5cwOzZs0t1jc+aNQsff/wxUlJS0L9/fzz99NNYsmSJy2sVFhbCbDY7bUTkO4oyfrja4Hh6VXwrLCys+NqqigkTJqBr165o06YN4LgHGgwGhIWFOZWNjIzU7oEZGRlOjYqi40XHXJUxm83Iz8+vyleiud7xAR4WIxgfiKiyMaIuuqaGRVRUFHbs2IG2bdvijjvuwPbt26/pzSdPnlzmxLji29GjR6/p2sWZzWb07dsXrVu3xowZM5yOvfzyy+jatStuu+02TJo0CRMnTsSrr77q8nrz589HaGiotsXExFS5jkTkPVyNnS3aACAmJsbpXjF//vwKrz127FgcOnTIaycIV1d8gJfGCMYHIqpsjKiL3E43KznGNxqNRqxbtw5z5sxB7969MWnSJLff/Pnnn8fQoUNdlrnxxhthMplw7tw5p/02mw2XLl2CyWRyef6VK1fQu3dvBAcHY8OGDdDr9S7Lx8fHY/bs2SgsLITRWPb4uClTpiA5OVl7bTabGTxqWUVjViuTjrYm35/qFlFBeuKiQ6dPn3YaP1vePaXIuHHjtInHjRs31vabTCZYLBZkZWU59VpkZmZq90CTyYTdu3c7Xa8oa1TxMiUzSWVmZiIkJAQBAQEVf/AKVGd8gJfGCMaH6lH8nlpR6tmre2RHKnHHPV04zpNKphSvzDPVEvPpnOZelPzlL1m29M2BMcK3VDZG1EVuNyxKji2dOnUqWrVqhSFDhrj95o0aNUKjRo0qLJeQkICsrCykp6ejQ4cOAIBt27ZBVVXEx8eXe57ZbEZSUhKMRiM2btwIf3//Ct9r//79CA8Pd/kHgNForPAPBCKquxQhILsIDUXjZ0NCQio1MU8IgfHjx2PDhg3Yvn07YmNjnY536NABer0eqamp6N+/PwDg2LFjOHXqFBISEgDHfXLu3Lk4d+6cNiwoJSUFISEhaN26tVbmiy++cLp2SkqKdo2qqs74AC+NEYwPRFTZGFEXud2wOHHiRKkbff/+/dGyZUv88MMP1Vk3TatWrdC7d2+MGjUKK1asgNVqxbhx4zBgwAAt28eff/6Jnj174oMPPkCnTp1gNpvRq1cv5OXl4Z///KfTWNdGjRpBp9Phv//9LzIzM9G5c2f4+/sjJSUF8+bNwwsvvFAjn4OI6oaKurLd7eYeO3Ys1q1bh//85z8IDg7W5gWEhoYiICAAoaGhGDFiBJKTk1G/fn2EhIRg/PjxSEhIQOfOnQEAvXr1QuvWrfHkk09i4cKFyMjIwNSpUzF27FjtD92nnnoKS5cuxcSJEzF8+HBs27YNH3/8MTZt2lSl76NIbcQHMEYQkYep7hjhTdyeY9G0aVOtu7u4W2+99ZqfSlXG2rVr0bJlS/Ts2RN9+vTBnXfeiXfeeUc7brVacezYMeTl5QEA9u7di127duHgwYNo3rw5oqKitO306dMAAL1ej2XLliEhIQFxcXF4++23sWjRolKpEomIilOFqHBzx/Lly5GdnY3u3bs73as++ugjrcwbb7yB++67D/3790e3bt1gMpmwfv167bhOp8Pnn38OnU6HhIQEDBo0CIMHD8asWbO0MrGxsdi0aRNSUlLQvn17vP7663jvvfeQlJRULd9LbcUHMEYQkQep7hjhTYuour2OBZXGPOWer1LrXFQBx896k6rnKE8MfQ56yUWOclGIrdlv1Mkc5eQexoeqq9yaFij1rFQ7Tyr5DJVzLMgVz4sRvXv3xoABA3DHHXfAZrPhpZdewqFDh/DTTz8hKCgIADBmzBhs2rQJq1evRmhoKMaNGwdZlvHdd98BjkVU4+LiYDKZ8Oqrr+Ls2bMYPHgwRo0ahXnz5gGOXuc2bdrgqaeewsiRI5GamooJEyZg06ZNlX4AxYZFNWDg8HxsWNBVVQ8aPUInwM9F0LCJQnydvZgNC2J8qAZsWND15fkxwpMXUb2mdLNE3kbU8P/ItwghKtyIqHqUe68VosSmOP7IVx2j2BX7Jkpu1kpsJc7B1a34ewBq6XpUVG+q8yobI65lrSN4+CKqbFgQEbnJl3OUExGRazW51pGnL6LqdlYoIiJf58sZP4iIyLXKxgh31zpCsUVUv/3222qqbfViw4KIyE0KFEguFlZUqmHRRSIi8k6VjRGVXeuoiDcsosqhUEREbuJQKCIiKk91xwghBMaNG4cNGzZg27ZtLhdRLVLWIqoHDx7EuXPntDJlLaJa/Bq4hkVU2WNBROQm1fE/V8eJiMg3VXeM8KZFVNmwICJyk5AEhFR+YGAWGCIi31XdMWL58uUAgO7duzvtX7VqFYYOHQo4FlGVZRn9+/dHYWEhkpKS8Pe//10rW7SI6pgxY5CQkICgoCAMGTKkzEVUn3vuObz55pto3Lix24uosmFBROQm+/hYzrEgut5K/kFWao2LMlM9F/t9LGNleNdvWPk/APlAgYpUd4yoTApzf39/LFu2DMuWLSu3TNOmTfHFF1+4vE737t2xb98+t+pXHBsWRERuKhol6+o4ERH5Jl+OEWxYEBG5SZVUSC66uTnHgojId/lyjGDDgojITSpUSJy8TUREZfDlGMGGBRGRmxTYXGbrth8nIiJf5Msxgg0LIiI3qRUsfqRy8jYRkc/y5RjBhgURkZsERAUT85gdhuh6cPW7VipjFNzL8nQt70kEH48RbFgQEbnJlyfmERGRa74cI9iwICJykwprlY4TEVHd5csxgg0LIiI3qUJxOTHPfpyIiHyRL8cINiyIiNzky4sfERGRa74cI9iwICJyk4AC4eJplKjDGT+IiMg1X44RbFgQEblJgQJRVsYZh7qcSpCIiFzz5RjBhgURkZuEcB00RB0eP0vkLepySk/ybL4cI9iwICJykz1VoG+mEiQiItd8OUawYUFE5CZRQTd3XR4/S0RErvlyjGDDgojITYqwuRxkoQrbdawNERF5El+OEeVPWfcwly5dwsCBAxESEoKwsDCMGDECOTk5Ls/p3r07JEly2p566imnMqdOnULfvn0RGBiIiIgIvPjii7DZ6u5/cCKqOiGUCje6vhgjiMhT+HKM8Joei4EDB+Ls2bNISUmB1WrFsGHDMHr0aKxbt87leaNGjcKsWbO014GBgdrPiqKgb9++MJlM2LlzJ86ePYvBgwdDr9dj3rx5Nfp5iMh7CYgKcpRz0uj1xhhBRJ7Cl2OEVzQsjhw5gs2bN2PPnj3o2LEjAGDJkiXo06cPXnvtNURHR5d7bmBgIEwmU5nHvvrqK/z000/YunUrIiMjERcXh9mzZ2PSpEmYMWMGDAZDjX0mIvJeQqgVZPyouxPzPBFjBBF5El+OEV4xFCotLQ1hYWFawACAxMREyLKMXbt2uTx37dq1aNiwIdq0aYMpU6YgLy/P6bpt27ZFZGSkti8pKQlmsxmHDx+uoU9DRN5OCCtUF5sQ1tquok9hjCAiT+LLMcIreiwyMjIQERHhtM/Pzw/169dHRkZGuec98cQTaNq0KaKjo3HgwAFMmjQJx44dw/r167XrFg8YALTXrq5bWFiIwsJC7bXZbL7mz0ZE3sf+tMk3n0Z5Ik+KEYwPROTLMaJWGxaTJ0/GggULXJY5cuTINV9/9OjR2s9t27ZFVFQUevbsiV9//RU33XTTNV93/vz5mDlz5jWfT0TeTYUKyWUqwbobNK4nb4wRjA9E5MsxolYbFs8//zyGDh3qssyNN94Ik8mEc+fOOe232Wy4dOlSuWNjyxIfHw8A+OWXX3DTTTfBZDJh9+7dTmUyMzMBwOV1p0yZguTkZO212WxGTExMpetBRN7Nl59GXU/eGCMYH4jIl2NErTYsGjVqhEaNGlVYLiEhAVlZWUhPT0eHDh0AANu2bYOqqlogqIz9+/cDAKKiorTrzp07F+fOndO60VNSUhASEoLWrVuXex2j0Qij0Vjp9yWiukUVNkiuMn7U4aBxPXljjGB8ICJfjhFeMXm7VatW6N27N0aNGoXdu3fju+++w7hx4zBgwAAt28eff/6Jli1bak+Xfv31V8yePRvp6ek4efIkNm7ciMGDB6Nbt25o164dAKBXr15o3bo1nnzySfz444/YsmULpk6dirFjxzIwEFG5hFAr3Oj6YYwgIk/iyzHCKxoWcGTuaNmyJXr27Ik+ffrgzjvvxDvvvKMdt1qtOHbsmJbRw2AwYOvWrejVqxdatmyJ559/Hv3798d///tf7RydTofPP/8cOp0OCQkJGDRoEAYPHuyU05yIqCRfDhqeijGCiDyFL8cISQhRd1fpuE7MZjNCQ0MB6FyOqSMiTyAAKMjOzkZISIhbZxb9rhsNjSFJ5T+XEUJFoeWPa3oPqlsYH4i8DWNEVXhFulkiIk+iqrYKgwYREfkmX44RbFgQEbmtoqBQd4MGERFVxHdjBBsWRERuquhpU11+GkVERK75coxgw4KIyE0VLW5Ulxc/IiIi13w5RrBhQUTkJiFsFSx+xJwYRES+ypdjBBsWRERuqnhV1bobNIiIyDVfjhFes44FEZHnUCuxuW/ZsmVo1qwZ/P39ER8fry3mRkRE3qRmYoQ3YMOCiMhdQq14c9NHH32E5ORkTJ8+HXv37kX79u2RlJSEc+fO1chHICKiGlIDMcJbsGFBROQmAaXCzV2LFi3CqFGjMGzYMLRu3RorVqxAYGAgVq5cWSOfgYiIakZNxAhvwYYFEZHbBCBcbHBv/KzFYkF6ejoSExO1fbIsIzExEWlpaTVQfyIiqjnVGyO8CSdvV4Ork3Dq7j8UorrD/ntatclzAqISv+9ms9nptdFohNFoLFXuwoULUBQFkZGRTvsjIyNx9OjRKtSTahvjA5G3uX4xoi5iw6IaXLlyxfFT3R0zR1TXXLlyBaGhoW6dYzAYYDKZkJGRUWHZevXqISYmxmnf9OnTMWPGDLfrSt6L8YHIO9V0jDCZTDAYDFWooWdiw6IaREdH4/Tp0wgODoYklZ9ezNeYzWbExMTg9OnTCAkJqe3qeBx+PxWrie9ICIErV64gOjra7XP9/f1x4sQJWCyWSr1PyftBWb0VANCwYUPodDpkZmY67c/MzITJZHK7nuQ5GB/KxvtfxfgdVcybY4TBYIC/v/811tJzsWFRDWRZRuPGjWu7Gh4rJCSEN0UX+P1UrLq/I3efQhXn7+9f7cHAYDCgQ4cOSE1NRb9+/QAAqqoiNTUV48aNq9b3ouuL8cE13v8qxu+oYnU9RngTNiyIiDxAcnIyhgwZgo4dO6JTp05YvHgxcnNzMWzYsNquGhERUaWwYUFE5AEee+wxnD9/HtOmTUNGRgbi4uKwefPmUhO6iYiIPBUbFlRjjEYjpk+fXu64cl/H76divvYdjRs3jkOfyCf42u/2teB3VDF+R55HElXLp0VERERERMQF8oiIiIiIqOrYsCAiIiIioipjw4KIiIiIiKqMDQuqsm+++Qb3338/oqOjIUkSPvvsM6fjQghMmzYNUVFRCAgIQGJiIo4fP15r9b3eKvp+1q9fj169eqFBgwaQJAn79++vtbrWFlffkdVqxaRJk9C2bVsEBQUhOjoagwcPxpkzZ2q1zkRUMcaHijFGuMb44F3YsKAqy83NRfv27bFs2bIyjy9cuBBvvfUWVqxYgV27diEoKAhJSUkoKCi47nWtDRV9P7m5ubjzzjuxYMGC6143T+HqO8rLy8PevXvx8ssvY+/evVi/fj2OHTuGBx54oFbqSkSVx/hQMcYI1xgfvIwgqkYAxIYNG7TXqqoKk8kkXn31VW1fVlaWMBqN4l//+lct1bL2lPx+ijtx4oQAIPbt23fd6+VJXH1HRXbv3i0AiN9///261YuIqobxoWKMEa4xPng+9lhQjTpx4gQyMjKQmJio7QsNDUV8fDzS0tJqtW7kvbKzsyFJEsLCwmq7KkR0jRgfqCYwPtQuNiyoRmVkZABAqdWDIyMjtWNE7igoKMCkSZPw+OOPIyQkpLarQ0TXiPGBqhvjQ+1jw4KIvIbVasWjjz4KIQSWL19e29UhIiIPwfjgGdiwoBplMpkAAJmZmU77MzMztWNElVEUNH7//XekpKTwaRSRl2N8oOrC+OA52LCgGhUbGwuTyYTU1FRtn9lsxq5du5CQkFCrdSPvURQ0jh8/jq1bt6JBgwa1XSUiqiLGB6oOjA+exa+2K0DeLycnB7/88ov2+sSJE9i/fz/q16+PJk2aYMKECZgzZw5uvvlmxMbG4uWXX0Z0dDT69etXq/W+Xir6fi5duoRTp05pebePHTsGOJ7m+cpTO1ffUVRUFB555BHs3bsXn3/+ORRF0cZf169fHwaDoRZrTkSuMD5UjDHCNcYHL1PbaanI+3399dcCQKltyJAhQjhSCr788ssiMjJSGI1G0bNnT3Hs2LHarvZ1U9H3s2rVqjKPT58+vbarft24+o6KUiyWtX399de1XXUicoHxoWKMEa4xPngXSdjzAhMREREREV0zzrEgIiIiIqIqY8OCiIiIiIiqjA0LIiIiIiKqMjYsiIiIiIioytiwICIiIiKiKmPDgoiIiIiIqowNCyIiIiIiqjI2LIiIiIiIqMrYsKA6b+jQoejXr5/LMtu3b4ckScjKyqrRunTv3h2SJEGSJOzfv79G3wsAmjVrpr1fTX82IiJvxBjBGEHVhytvU52XnZ0NIQTCwsIAx407Li4Oixcv1spYLBZcunQJkZGRkCSpxurSvXt33HLLLZg1axYaNmwIPz+/GnsvADh//jz+97//oX///rh8+bL2HRARkR1jBGMEVZ+a/RdL5AFCQ0MrLGMwGGAyma5LfQIDA6/bezVq1Aj169e/Lu9FROSNGCMYI6j6cCgUVZvz58/DZDJh3rx52r6dO3fCYDAgNTW1zHNOnjwJSZLw4YcfokuXLvD390ebNm2wY8cOp3I7duxAp06dYDQaERUVhcmTJ8Nms2nH//3vf6Nt27YICAhAgwYNkJiYiNzcXKBEN/fQoUOxY8cOvPnmm1r378mTJ8vs5v70009x6623wmg0olmzZnj99ded6tSsWTPMmzcPw4cPR3BwMJo0aYJ33nnH7e9t9erVpZ4SffbZZ05PxWbMmIG4uDisXLkSTZo0Qb169fD0009DURQsXLgQJpMJERERmDt3rtvvT0R0PTBGMEZQ3ceGBVWbRo0aYeXKlZgxYwZ++OEHXLlyBU8++STGjRuHnj17ujz3xRdfxPPPP499+/YhISEB999/Py5evAgA+PPPP9GnTx/ccccd+PHHH7F8+XK8//77mDNnDgDg7NmzePzxxzF8+HAcOXIE27dvx8MPP4yyRvm9+eabSEhIwKhRo3D27FmcPXsWMTExpcqlp6fj0UcfxYABA3Dw4EHMmDEDL7/8MlavXu1U7vXXX0fHjh2xb98+PP300xgzZgyOHTtWxW+ybL/++iu+/PJLbN68Gf/617/w/vvvo2/fvvjjjz+wY8cOLFiwAFOnTsWuXbtq5P2JiKqCMYIxgnyAIKpmTz/9tLjlllvEE088Idq2bSsKCgrKLXvixAkBQLzyyivaPqvVKho3biwWLFgghBDipZdeEi1atBCqqmplli1bJurVqycURRHp6ekCgDh58mSZ7zFkyBDx4IMPaq/vvvtu8eyzzzqV+frrrwUAcfnyZSGEEE888YS45557nMq8+OKLonXr1trrpk2bikGDBmmvVVUVERERYvny5eV+3rLee9WqVSI0NNRp34YNG0TxX8/p06eLwMBAYTabtX1JSUmiWbNmQlEUbV+LFi3E/PnzXX42IqLaxBjBGEF1F3ssqNq99tprsNls+OSTT7B27VoYjcYKz0lISNB+9vPzQ8eOHXHkyBEAwJEjR5CQkODU7du1a1fk5OTgjz/+QPv27dGzZ0+0bdsWf/3rX/Huu+/i8uXLVfoMR44cQdeuXZ32de3aFcePH4eiKNq+du3aaT9LkgSTyYRz585V6b3L06xZMwQHB2uvIyMj0bp1a8iy7LSvpt6fiKg6MEYwRlDdxYYFVbtff/0VZ86cgaqqOHnyZI2/n06nQ0pKCr788ku0bt0aS5YsQYsWLXDixIkaf2+9Xu/0WpIkqKrq1jVkWS7VJW+1Wiv1XtXx/kRE1xNjBGME1V1sWFC1slgsGDRoEB577DHMnj0bI0eOrNTTke+//1772WazIT09Ha1atQIAtGrVCmlpaU431u+++w7BwcFo3Lgx4LhZdu3aFTNnzsS+fftgMBiwYcOGMt/LYDA4PVEqS6tWrfDdd9857fvuu+9wyy23QKfTVfh53NGoUSNcuXJFm0gI4LrkLyciut4YI9zHGEHehA0LqlZ/+9vfkJ2djbfeeguTJk3CLbfcguHDh1d43rJly7BhwwYcPXoUY8eOxeXLl7Xznn76aZw+fRrjx4/H0aNH8Z///AfTp09HcnIyZFnGrl27MG/ePPzwww84deoU1q9fj/Pnz2tBp6RmzZph165dOHnyJC5cuFDm05vnn38eqampmD17Nn7++WesWbMGS5cuxQsvvFAN35Kz+Ph4BAYG4qWXXsKvv/6KdevWlZoASERUFzBGuI8xgrwJGxZUbbZv347FixfjH//4B0JCQiDLMv7xj3/gf//7H5YvX+7y3FdeeQWvvPIK2rdvj2+//RYbN25Ew4YNAQA33HADvvjiC+zevRvt27fHU089hREjRmDq1KkAgJCQEHzzzTfo06cPbrnlFkydOhWvv/467r333jLf64UXXoBOp0Pr1q3RqFEjnDp1qlSZ22+/HR9//DE+/PBDtGnTBtOmTcOsWbMwdOjQavmuiqtfvz7++c9/4osvvkDbtm3xr3/9CzNmzKj29yEiqk2MEdeGMYK8CVfeplp18uRJxMbGYt++fYiLi6vt6tS4slZ0rWnbt29Hjx49uKoqEXkdxoiaxxhB1Yk9FkTX2d///nfUq1cPBw8erPH3uvXWW8t9KkdERJ6HMYK8mV9tV4DIl6xduxb5+fkAgCZNmtT4+33xxRda9pCQkJAafz8iIrp2jBHk7TgUioiIiIiIqoxDoYiIiIiIqMrYsCAiIiIioipjw4KIiIiIiKqMDQsiIiIiIqoyNiyIiIiIiKjK2LAgIiIiIqIqY8OCiIiIiIiqjA0LIiIiIiKqMjYsiIiIiIioyv4fbplUliAVyKgAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 800x300 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mode_solver = ModeSolver(\n",
    "    simulation=sim_tm,\n",
    "    plane=td.Box(center=mode_monitor_cross.center, size=mode_monitor_cross.size),\n",
    "    mode_spec=mode_spec,\n",
    "    freqs=freqs,\n",
    ")\n",
    "mode_data_outer = run_mode_solver(mode_solver)\n",
    "\n",
    "\n",
    "def plot_field_intensity(mode_data):\n",
    "    fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(8, 3), tight_layout=True)\n",
    "    cmap = \"magma\"\n",
    "    mode_data.intensity.sel(mode_index=0, f=freq0).plot(x=\"x\", y=\"z\", cmap=cmap, ax=ax1)\n",
    "    mode_data.intensity.sel(mode_index=1, f=freq0).plot(x=\"x\", y=\"z\", cmap=cmap, ax=ax2)\n",
    "    ax1.set_title(\"First mode\")\n",
    "    ax2.set_title(\"Second mode\")\n",
    "\n",
    "\n",
    "plot_field_intensity(mode_data_outer)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "765afc82",
   "metadata": {},
   "source": [
    "We can also plot the field components to better visualize the polarizations of the modes. The first mode is TE-like as the dominant field component is $E_x$ while the second mode is TM-like with the dominant component being $E_z$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "25546f0c",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-05-15T10:34:19.967425Z",
     "iopub.status.busy": "2025-05-15T10:34:19.967360Z",
     "iopub.status.idle": "2025-05-15T10:34:20.460392Z",
     "shell.execute_reply": "2025-05-15T10:34:20.459932Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 12 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_field_components(mode_data):\n",
    "    f, ax = plt.subplots(2, 3, figsize=(10, 5), tight_layout=True)\n",
    "    cmap = \"coolwarm\"\n",
    "    abs(mode_data.Ex.sel(mode_index=0, f=freq0)).plot(x=\"x\", y=\"z\", ax=ax[0][0], cmap=cmap)\n",
    "    abs(mode_data.Ey.sel(mode_index=0, f=freq0)).plot(x=\"x\", y=\"z\", ax=ax[0][1], cmap=cmap)\n",
    "    abs(mode_data.Ez.sel(mode_index=0, f=freq0)).plot(x=\"x\", y=\"z\", ax=ax[0][2], cmap=cmap)\n",
    "    abs(mode_data.Ex.sel(mode_index=1, f=freq0)).plot(x=\"x\", y=\"z\", ax=ax[1][0], cmap=cmap)\n",
    "    abs(mode_data.Ey.sel(mode_index=1, f=freq0)).plot(x=\"x\", y=\"z\", ax=ax[1][1], cmap=cmap)\n",
    "    abs(mode_data.Ez.sel(mode_index=1, f=freq0)).plot(x=\"x\", y=\"z\", ax=ax[1][2], cmap=cmap)\n",
    "\n",
    "    ax[0][0].set_title(\"|Ex|\")\n",
    "    ax[0][1].set_title(\"|Ey|\")\n",
    "    ax[0][2].set_title(\"|Ez|\")\n",
    "    ax[1][0].set_title(\"|Ex|\")\n",
    "    ax[1][1].set_title(\"|Ey|\")\n",
    "    ax[1][2].set_title(\"|Ez|\")\n",
    "\n",
    "\n",
    "plot_field_components(mode_data_outer)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "af6766cd",
   "metadata": {},
   "source": [
    "Efficient mode conversion from the inner bend to the outer bend is achieved when the phase matching condition is met. For waveguide bends, the phase matching condition is given by the equal optical path length (OPL). That is, $N_1k_0R_1\\theta = N_2k_0R_2\\theta$, where $N_1$ and $N_2$ are the effective indices of the inner bend mode and outer bend mode, $k_0$ is the free space wave vector, $R_1$ and $R_2$ are the inner bend radius and outer bend radius, and $\\theta$ is the angle of the bend. Let's check the OPLs of the second mode (TM) at the inner waveguide to the first mode (TE) at the outer waveguide to see if they match. To do so, first compute the OPLs for the outer waveguide as we have solved for the modes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "6e437627",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-05-15T10:34:20.461941Z",
     "iopub.status.busy": "2025-05-15T10:34:20.461801Z",
     "iopub.status.idle": "2025-05-15T10:34:20.464373Z",
     "shell.execute_reply": "2025-05-15T10:34:20.463818Z"
    }
   },
   "outputs": [],
   "source": [
    "# extract effective indices\n",
    "n_eff_outer = mode_data_outer.n_eff.values\n",
    "\n",
    "# compute OPLs\n",
    "OPL_outer = n_eff_outer * (R1 + W1 / 2 + Wg + W3 / 2)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "86261c4c",
   "metadata": {},
   "source": [
    "Then we will do the same for the inner bend."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "1cdc69d0",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-05-15T10:34:20.466016Z",
     "iopub.status.busy": "2025-05-15T10:34:20.465809Z",
     "iopub.status.idle": "2025-05-15T10:35:06.797019Z",
     "shell.execute_reply": "2025-05-15T10:35:06.796458Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">16:29:54 CEST </span>Mode solver created with                                          \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><span style=\"color: #808000; text-decoration-color: #808000\">task_id</span>=<span style=\"color: #008000; text-decoration-color: #008000\">'fdve-f3a6f675-da1a-428c-bc7f-bc953f65ef4a'</span>,              \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><span style=\"color: #808000; text-decoration-color: #808000\">solver_id</span>=<span style=\"color: #008000; text-decoration-color: #008000\">'mo-a03aec94-ba84-4b47-8a8d-2b0ea7a90d46'</span>.              \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m16:29:54 CEST\u001b[0m\u001b[2;36m \u001b[0mMode solver created with                                          \n",
       "\u001b[2;36m              \u001b[0m\u001b[33mtask_id\u001b[0m=\u001b[32m'fdve-f3a6f675-da1a-428c-bc7f-bc953f65ef4a'\u001b[0m,              \n",
       "\u001b[2;36m              \u001b[0m\u001b[33msolver_id\u001b[0m=\u001b[32m'mo-a03aec94-ba84-4b47-8a8d-2b0ea7a90d46'\u001b[0m.              \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
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       "model_id": "d5b8527acf12461b9fd05602fc70ca55",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "7292e08af68449ca8d694acf1ffd55ac",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">16:29:58 CEST </span>Mode solver status: queued                                        \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m16:29:58 CEST\u001b[0m\u001b[2;36m \u001b[0mMode solver status: queued                                        \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">16:30:00 CEST </span>Mode solver status: running                                       \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m16:30:00 CEST\u001b[0m\u001b[2;36m \u001b[0mMode solver status: running                                       \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">16:30:08 CEST </span>Mode solver status: success                                       \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m16:30:08 CEST\u001b[0m\u001b[2;36m \u001b[0mMode solver status: success                                       \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
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       "version_minor": 0
      },
      "text/plain": [
       "Output()"
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     },
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     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
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     "metadata": {},
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    {
     "data": {
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iC7cJNCdOnKBz58785S9/cSvXu3dvPv74Y/21xWKp408ihPBrDhUcDs/HxUUnMUII4RMCOEb4VY/F66+/zsiRIxk2bBhJSUnMnTuX0NBQPvroowrLN27cmLi4OH1btWoVoaGh5YKGxWJxK9eoUaOL9ImEEH4pgJ9G+TKJEUIInxDAMcJvGhY2m42srCxSU1P1fQaDgdTUVDIzM6t1jg8//JCBAwcSFhbmtn/t2rXExMTQtm1bRo0axYkTJzyep7i4GKvV6rYJIQJIAAcNX+UrMULigxAikGOE3zQsjh8/jsPhIDY21m1/bGws2dnZVb5/8+bN7Ny5kxEjRrjt7927N3//+9/JyMjgpZdeYt26dfTp0weHhy6smTNnEhUVpW+SSlCIABPAQcNX+UqMkPgghAjkGOFXcyxq4sMPP6Rjx45ce+21bvsHDhyo/9yxY0c6derEZZddxtq1a+nZs2eF55o0aRLjx4/XX1utVgkeQgQQRbWjOOwejwv/UlsxQuKDECKQY4Tf9Fg0bdoUo9FITk6O2/6cnBzi4uI8vrewsJBFixYxfPjwKq9z6aWX0rRpU3799ddKy1gsFiIjI902IUQAqeWnUenp6eUyD7Vr104/XlRUxOjRo2nSpAnh4eEMGDCg3L3w0KFD9OvXj9DQUGJiYnj66aex292D19q1a7n66quxWCy0adOGefPm1fCL8B2+EiMkPgghArnHwm8aFmazmS5dupCRkaHvU1WVjIwMUlJSPL538eLFFBcX88ADD1R5nd9//50TJ07QvHnzWqm3EKIBUrWqNy9deeWVHD16VN/Wr1+vHxs3bhxff/01ixcvZt26dRw5coS77rpLP+5wOOjXrx82m40NGzYwf/585s2bx5QpU/QyBw4coF+/fvTo0YPt27czduxYRowYwYoVK2rhC6l/EiOEED6jDmKEv/CroVDjx49nyJAhdO3alWuvvZZZs2ZRWFjIsGHDABg8eDCXXHIJM2fOdHvfhx9+SP/+/WnSpInb/oKCAqZNm8aAAQOIi4tj//79TJgwgTZt2pCWlnZRP5sQwo9U9cTpAp5GBQUFVfhkPT8/nw8//JCFCxdy6623AvDxxx/Tvn17Nm7cSPfu3Vm5ciW//PILq1evJjY2luTkZGbMmMHEiRNJT0/HbDYzd+5cEhMTee211wBo374969ev54033mgw9zuJEUIIn1AHMcJf+FXD4t577+XYsWNMmTKF7OxskpOTWb58uT5Z79ChQxgM7p0we/fuZf369axcubLc+YxGIz///DPz588nLy+P+Ph4evXqxYwZMyRPuRCicg4HeBg/6zF/eSX27dtHfHw8wcHBpKSkMHPmTFq2bElWVhYlJSVu2Y7atWtHy5YtyczMpHv37mRmZtKxY0e3ictpaWmMGjWKXbt2cdVVV5GZmel2jtIyY8eO9bquvkpihBDCJ9RBjPAXftWwABgzZgxjxoyp8NjatWvL7Wvbti2aVnGXU0hISIMZBiCEuIiq+TTq/FSjFoulwj9Iu3Xrxrx582jbti1Hjx5l2rRp3HjjjezcuZPs7GzMZjPR0dFu7ymb7Sg7O7vCbEilxzyVsVqtnD17lpCQEO++Ax8lMUIIUe+kx0IIIUS1VTVG1nXs/GxAU6dOJT09vVzxPn366D936tSJbt260apVKz777LMG8we/EEIEjGrGiIZIGhZCCOGtaj6NOnz4sFtWoOoOn4mOjuaKK67g119/5bbbbsNms5GXl+fWa1E221FcXBybN292O0dpdqSyZSrKmBQZGSmNFyGEqE0B3GPhN1mhhBDCVygOO4rdw+YaW3t+2tHqNiwKCgrYv38/zZs3p0uXLphMJrdsR3v37uXQoUN6tqOUlBR27NhBbm6uXmbVqlVERkaSlJSklyl7jtIyVWVMEkII4Z3qxoiGSBoWQgjhLU2revPCU089xbp16zh48CAbNmzgzjvvxGg0ct999xEVFcXw4cMZP3483333HVlZWQwbNoyUlBS6d+8OQK9evUhKSuLBBx/kp59+YsWKFUyePJnRo0frjZlHHnmE3377jQkTJrBnzx7eeecdPvvsM8aNG1cnX5EQQgSsWo4R/kSGQgkhhLdquZv7999/57777uPEiRM0a9aMG264gY0bN9KsWTMA3njjDQwGAwMGDKC4uJi0tDTeeecd/f1Go5GlS5cyatQoUlJSCAsLY8iQIUyfPl0vk5iYyLJlyxg3bhyzZ8+mRYsWfPDBB5I2VQghalsAD4VStMrSYYhqs1qtREVFAUZAqe/qCCE80gAH+fn5Xq+KXPq7nvfDK0SGVz4vwVpwlujrn76ga4iGReKDEP5GYkRNSI+FEEJ4K4CfRgkhhKhCAMcIaVgIIYS3VK2KoCEdwUIIEbACOEbI5G0hhPBWAE/ME0IIUYU6iBF//PEHDzzwAE2aNCEkJISOHTvy448/lrmkxpQpU2jevDkhISGkpqayb98+t3OcPHmSQYMGERkZSXR0NMOHD6egoMCtzM8//8yNN95IcHAwCQkJvPzyy17VUxoWQgjhLYcD7B42h6O+ayiEEKK+1HKMOHXqFNdffz0mk4lvv/2WX375hddee41GjRrpZV5++WXefPNN5s6dy6ZNmwgLCyMtLY2ioiK9zKBBg9i1axerVq1i6dKlfP/99zz88MP6cavVSq9evWjVqhVZWVm88sorpKen8/7771e7rjIUSgghvBXA42eFEEJUoZZjxEsvvURCQgIff/yxvi8xMVH/WdM0Zs2axeTJk7njjjsA+Pvf/05sbCxffvklAwcOZPfu3SxfvpwtW7bQtWtXAN566y369u3Lq6++Snx8PAsWLMBms/HRRx9hNpu58sor2b59O6+//rpbA8QT6bEQQghvlQYNT5sQQojAVM0YYbVa3bbi4uIKT/fVV1/RtWtX/vKXvxATE8NVV13F3/72N/34gQMHyM7OJjU1Vd8XFRVFt27dyMzMBCAzM5Po6Gi9UQGQmpqKwWBg06ZNepmbbroJs9msl0lLS2Pv3r2cOnWqWh9dGhZCCOEtVat6E0IIEZiqGSMSEhKIiorSt5kzZ1Z4ut9++413332Xyy+/nBUrVjBq1Cgef/xx5s+fD0B2djYAsbGxbu+LjY3Vj2VnZxMTE+N2PCgoiMaNG7uVqegcZa9RFRkKJYQQ3nJUMUZW5lgIIUTgqmaMOHz4sNs6FhaLpcLiqqrStWtXXnjhBQCuuuoqdu7cydy5cxkyZEht175GpMdCCCG8JUOhhBBCVKaaMSIyMtJtq6xh0bx5c5KSktz2tW/fnkOHDgEQFxcHQE5OjluZnJwc/VhcXBy5ublux+12OydPnnQrU9E5yl6jKtKwEEIIb8lQKCGEEJWp5Rhx/fXXs3fvXrd9//3vf2nVqhW4JnLHxcWRkZGhH7darWzatImUlBQAUlJSyMvLIysrSy+zZs0aVFWlW7duepnvv/+ekpISvcyqVato27atWwYqT6RhIYQQ3ipd/KjSTRoWQggRsGo5RowbN46NGzfywgsv8Ouvv7Jw4ULef/99Ro8eDYCiKIwdO5bnnnuOr776ih07djB48GDi4+Pp378/uHo4evfuzciRI9m8eTM//PADY8aMYeDAgcTHxwNw//33YzabGT58OLt27eLTTz9l9uzZjB8/vtp1lTkWQgjhLbWK8bOqzLEQQoiAVcsx4pprrmHJkiVMmjSJ6dOnk5iYyKxZsxg0aJBeZsKECRQWFvLwww+Tl5fHDTfcwPLlywkODtbLLFiwgDFjxtCzZ08MBgMDBgzgzTff1I9HRUWxcuVKRo8eTZcuXWjatClTpkypdqpZAEXTZInYmrJarURFRQFGQKnv6gghPNIAB/n5+W6T5qqj9Hc977OniAyteCwsgPVMMdH3vHpB1xANi8QHIfyNxIiakB4LIYTwVlVjZGUolBB+T6nlhqCG3BcCRgDHCGlYCCGEt2TlbSGEEJUJ4BghDQshhPCWXXVuno4LIYQITAEcI6RhIYQQ3grgp1FCCCGqEMAxQhoWQgjhLU1zbp6OCyGECEwBHCOkYSGEEN4K4Il5QgghqhDAMcLvFsibM2cOrVu3Jjg4mG7durF58+ZKy86bNw9FUdy2svl8ATRNY8qUKTRv3pyQkBBSU1PZt2/fRfgkQgi/5XCA3cPmKX+5qFMSI4QQ9S6AY4RfNSw+/fRTxo8fz9SpU9m6dSudO3cmLS2N3NzcSt8TGRnJ0aNH9e1///uf2/GXX36ZN998k7lz57Jp0ybCwsJIS0ujqKjoInwiIYRfKn0a5WkTF53ECFFdSjX+QandrcrriYYjgGOEXzUsXn/9dUaOHMmwYcNISkpi7ty5hIaG8tFHH1X6HkVRiIuL07fY2Fj9mKZpzJo1i8mTJ3PHHXfQqVMn/v73v3PkyBG+/PLLi/SphBB+R60qcNR3BQOTxAghhE8I4BjhNw0Lm81GVlYWqamp+j6DwUBqaiqZmZmVvq+goIBWrVqRkJDAHXfcwa5du/RjBw4cIDs72+2cUVFRdOvWzeM5i4uLsVqtbpsQIoAE8NMoX+UrMULigxAikGOE3zQsjh8/jsPhcHuaBBAbG0t2dnaF72nbti0fffQR//73v/nkk09QVZXrrruO33//HUB/nzfnBJg5cyZRUVH6lpCQUAufUAjhLzSHWuUmLi5fiRESH4QQgRwj/KZhcSFSUlIYPHgwycnJ3HzzzXzxxRc0a9aM9957r0bnnTRpEvn5+fp2+PDhWquzEMIPBPDTqIakLmKExAchRCDHCL9JN9u0aVOMRiM5OTlu+3NycoiLi6vWOUwmE1dddRW//vorgP6+nJwcmjdv7nbO5OTkSs9jsViwWCwX+EmEEH4vgFMJ+ipfiRESH4QQgRwj/KbHwmw206VLFzIyMvR9qqqSkZFBSkpKtc7hcDjYsWOHHiASExOJi4tzO6fVamXTpk3VPqcQIgAF8NMoXyUxQnhSaQYmPWuTUd8UJci5YXRuium8zeJhO69s6TlwnrfsddyyRnmqo/A/ARwj/KZhATB+/Hj+9re/MX/+fHbv3s2oUaMoLCxk2LBhAAwePJhJkybp5adPn87KlSv57bff2Lp1Kw888AD/+9//GDFiBLiygYwdO5bnnnuOr776ih07djB48GDi4+Pp379/vX1OIYRv0xwqmt3DVsPxsy+++KJ+fypVVFTE6NGjadKkCeHh4QwYMKDc0/lDhw7Rr18/QkNDiYmJ4emnn8Zut7uVWbt2LVdffTUWi4U2bdowb968GtXVl0iMEEL4grqOEb7Mb4ZCAdx7770cO3aMKVOmkJ2dTXJyMsuXL9cn1h06dAiD4Vxb6dSpU4wcOZLs7GwaNWpEly5d2LBhA0lJSXqZCRMmUFhYyMMPP0xeXh433HADy5cvL7dIkhBC6Oqwm3vLli289957dOrUyW3/uHHjWLZsGYsXLyYqKooxY8Zw11138cMPP4DraXu/fv2Ii4tjw4YNHD16lMGDB2MymXjhhRfAleWoX79+PPLIIyxYsICMjAxGjBhB8+bNSUtLu+A6+wqJEUIInxDAQ6EUTdMa7qe7SKxWK1FRUYARpPtSCB+nAQ7y8/OJjIz06p2lv+snn3uQyGBz5eWKbDSe/A+vr1FQUMDVV1/NO++8w3PPPUdycjKzZs0iPz+fZs2asXDhQu6++24A9uzZQ/v27cnMzKR79+58++23/OlPf+LIkSP6H9Jz585l4sSJHDt2DLPZzMSJE1m2bBk7d+7Urzlw4EDy8vJYvny5V9+FqB6JD76h0qFFSul+Q+VllfMHd3ga7HHek2jN/bWGVnHZCv4Ucy8rLh7fjRH+wK+GQgkhhE+oo/Gzo0ePpl+/fm7rJgBkZWVRUlLitr9du3a0bNlSX08hMzOTjh07uqVGTUtLw2q16mszZGZmljt3Wlqax3UehBBCeEnmWAghhKguzaFVueF6elV2Ky4urvScixYtYuvWrcycObPcsezsbMxmM9HR0W77y66nkJ2dXeF6C5RZj6GyMlarlbNnz17w9yGEEOKc6saI6kpPT0dRFLetXbt2+nFfmoNXrTkWP//8s9cnTkpKIijIr6ZwCCFE9VRz/Oz5i6NNnTqV9PT0csUPHz7ME088wapVq/xu7L7EByGEOE8dzLG48sorWb16tf667D3Ul+bgVevOnpycjKIoVHc6hsFg4L///S+XXnpptSsihBB+o5pB4/Dhw27jZytb3yArK4vc3FyuvvpqfZ/D4eD777/n7bffZsWKFdhsNvLy8tx6Lcqu0RAXF8fmzZvdzlv6xKpsmYrWeYiMjCQkJMSbb0An8UH4qgrnVZw3p0JBcc2hcL1WDK75MM6fFQyufbi971zZczS3+RSq2z4NFU1TUXCU2e8qr6loilZuzkXZ+st8Cz9TBw2LoKCgCtfkyc/P58MPP2ThwoXceuutAHz88ce0b9+ejRs30r17d1auXMkvv/zC6tWriY2NJTk5mRkzZjBx4kTS09Mxm83MnTuXxMREXnvtNQDat2/P+vXreeONN2q/YQGwadMmmjVrVmU5TdPo0KFDtSsghBD+RlPLzcksdxwgMjKyWhPzevbsyY4dO9z2DRs2jHbt2jFx4kQSEhIwmUxkZGQwYMAAAPbu3cuhQ4f09RRSUlJ4/vnnyc3NJSYmBoBVq1YRGRmpZzlKSUnhm2++cbvOqlWrarwmg8QHIYQ4p7oxwhv79u0jPj6e4OBgUlJSmDlzJi1btqxyDl737t0rnYM3atQodu3axVVXXVXpHLyyac+ro1oNi5tvvpk2bdqUG99bmZtuuumCn34JIYTPc2hg9/DEycvxsxEREeX+4A4LC6NJkyb6/uHDhzN+/HgaN25MZGQkjz32GCkpKXTv3h2AXr16kZSUxIMPPsjLL79MdnY2kydPZvTo0XpPySOPPMLbb7/NhAkTeOihh1izZg2fffYZy5Yt8/47cJH4IIQQ56lmjLBarW67LRZLhT3b3bp1Y968ebRt25ajR48ybdo0brzxRnbu3HnR5uBV975drYbFd999V62TlTr/iZgQQjQkmqqheejK9nTsQr3xxhsYDAYGDBhAcXExaWlpvPPOO/pxo9HI0qVLGTVqFCkpKYSFhTFkyBCmT5+ul0lMTGTZsmWMGzeO2bNn06JFCz744IMarWEh8UEIIdxVN0ZUdx5enz599J87depEt27daNWqFZ999pnPPaiR2XNCCOEttXy6+nLHa2jt2rVur4ODg5kzZw5z5syp9D2tWrWq8g/3W265hW3bttW8gkIIISpWzRhR3Xl454uOjuaKK67g119/5bbbbvOpOXheNyw0TePzzz/nu+++Izc3F1V1/+a++OILb08phBD+RXNtno4HIIkPQghR/RhR3Xl45ysoKGD//v08+OCDdOnSxafm4HndsBg7dizvvfcePXr0IDY2FkWRlUSFb6p0pVW9QB38v1tFZhzJ7NEwaHYNzeihm9vT2NoGTOKD8AXlV85WPGSBMmFQglAU559DBkMQBtfPRoMFoxKEweA6pphcWaKcWaMM5y0FpqKiaa6sT6ioWgmq6lwnwKHZUbUSHKrNWVa1o2nOY6pmB62k8ixRkiHK79R2jHjqqae4/fbbadWqFUeOHGHq1KkYjUbuu+8+oqKifGoOntcNi3/84x988cUX9O3b19u3CiFEg1AXGT8aAokPQghR+zHi999/57777uPEiRM0a9aMG264gY0bN+rZ+HxpDp7XDYuoqCjJPy6ECGwXYY6FP5L4IIQQtR8jFi1a5PG4L83BM1SjjJv09HSmTZvG2bNna3RhIYTwV6VPozxtgUjigxBCBHaM8LrH4p577uGf//wnMTExtG7dGpPJ5HZ869attVk/IYTwOZoKrqHUlR4PRBIfhBAisGOE1w2LIUOGkJWVxQMPPCCT84QQAUnmWFRM4oMQQgR2jPC6YbFs2TJWrFjBDTfcUDc1EkIIXydzLCok8UEIIQI7RnjdsEhISLignLtC1JWKUwviNoVIL6NUNq2o/H7lvLJapY8YyuwvvXSZsmVTAyply7pS00rqQP8TyE+jPJH4IHxKmVhwLgYEoSgmjAYzAEZDMKagMEwG5wJgZmMYwUoUAMGEE0wYFs2ZjtOimTERhEk5l7rWoCioZe7ldsX5s00rodhgozioGIAiCimigGKtwHlcLcDmKASgxF6IQ7WhaqWpaItRNDtaaVxSVLdU5gqKxA0fF8gxwuvJ26+99hoTJkzg4MGDdVMjIYTwcZpDqXILRBIfhBAisGOE1z0WDzzwAGfOnOGyyy4jNDS03OS8kydP1mb9hBDC5wTy0yhPJD4IIURgxwivGxazZs2qm5oIIYSf0DQFTav8iZOnYw2ZxAchhAjsGHFBWaGEECKQBfLTKE8kPgghRGDHCK8bFocOHfJ4vGXLljWpjxBC+DxVVVA9jJFV1Yb7NMoTiQ9CCBHYMcLrhkXr1q095iZ3ODysCCJELTqX5eO8zB+lGTuUIMDoPKIElcvyBAa3fYpiQMGg/1wZTVPRUN2yRJ37WS1XVtXsgMP12q4/qtAUDVBRyiT3kEwffkJV0DwFhgYcNDyR+CDqk1uGQEXR89M444Lzzx2DweLMBGUMBSDYFE24sRlRxAHQSG1EI0MwAFHmICLNCpEm53nDgzTCgjSCjc77tEkBRdH0YS0lGhS5/pg84wjldImCtcRZ1mrTyLfZOaUWAZBvzCfPmANAgTGXsyUnKXGc0auvqqBodgBndqjzMkMJHxfAMcLrhsW2bdvcXpeUlLBt2zZef/11nn/++dqsmxBC+CRN8xzjAzX+S3wQQojAjhFeNyw6d+5cbl/Xrl2Jj4/nlVde4a677qqtugkhhE8K5Il5nkh8EEKIwI4RXq9jUZm2bduyZcuW2jpdpebMmUPr1q0JDg6mW7dubN68udKyf/vb37jxxhtp1KgRjRo1IjU1tVz5oUOHoiiK29a7d+86/xxCCP+lOpQqN3HOxYoPSIwQQviAQI4RXvdYWK1Wt9eapnH06FHS09O5/PLLa7Nu5Xz66aeMHz+euXPn0q1bN2bNmkVaWhp79+4lJiamXPm1a9dy3333cd111xEcHMxLL71Er1692LVrF5dccolernfv3nz88cf6a4vFUqefQ9RMVeNoDQbnfz+DYibI6BwrG2QMwYAB1TUHwuB6j8HgGnermJxb6f4yP5cqfa+qlaCiomol+uvSORaapqKi6u9VUXGoxdgdznG1DrUIVXWuxKqvrKq45mVomqyo6icC+WmUJ/UZH5AYISqjnJtPp2DAaDBjCXKuEB9pjOcSNZEW5ggAYkONxDnDBnHBKnHBxcSFOuc+NA4/S3hkEeZw5z3bGOKcuuGaCoGjGGxW53UKT1s4cTqU3LPOFb2PFpnJLjKRc9a5tkv22VCOFDtX+P49yISq2V3z8Zxz8TSl5NzK25rMTfI3gRwjvG5YREdHl5ucp2kaCQkJLFq0qDbrVs7rr7/OyJEjGTZsGABz585l2bJlfPTRRzzzzDPlyi9YsMDt9QcffMC//vUvMjIyGDx4sL7fYrEQFxdXp3UXQjQcqqp4zOrRkDN+eFKf8QGJEUIIHxHIMcLrhsV3333n9tpgMNCsWTPatGlDUJDXp6s2m81GVlYWkyZNcrt2amoqmZmZ1TrHmTNnKCkpoXHjxm77165dS0xMDI0aNeLWW2/lueeeo0mTJpWep7i4mOLiYv31+U/phBANWyBPzPOkvuIDPhQjJD4IIQI5Rnh9p7/55pvrpiZVOH78OA6Hg9jYWLf9sbGx7Nmzp1rnmDhxIvHx8aSmpur7evfuzV133UViYiL79+/n2WefpU+fPmRmZmI0Gis8z8yZM5k2bVoNP5EQwl+pqgFVrXyKmqdjDVl9xQd8KEZIfBBCBHKMqFbD4quvvqJPnz6YTKZqnfSbb76hR48ehISE1LR+tebFF19k0aJFrF27luDgYH3/wIED9Z87duxIp06duOyyy1i7di09e/as8FyTJk1i/Pjx+mur1UpCQkIdfwJRmXPrWQTpOcoBLKYoQoOcTx7DjTHYtSLs2rkniQbFRBDOsdImJRizFoJZMwNgJAij5v5Hg0NxuP5tx6bYsClnASjRirDjPG/pvIsgpfS8oRSouRSWHAfAZjfgGo6r5ynXH1woSsN+jNGAqJqC6mGMrKdjDU1DiA/UYoyQ+ODbFNd8C6NrLl4UzWgbFsXlkc7f2RYhDi4NLwSgZZN8mrQpwnSFcz6GkngJtIhDbdbMebKICAgKArvzrm46fZrQ4857ffQf2cT/lkPJvt8BOPWrhf8dj+a30871Mw6fDSK6wDmvo6AghgJDLsVK3fbqiYsnkGNEtZpMd955J3l5edU+6cCBAzl69GhN6lVO06ZNMRqN5OTkuO3Pycmpcuzrq6++yosvvsjKlSvp1KmTx7KXXnopTZs25ddff620jMViITIy0m0TQgQOzbX4kactUPhCfMCHYoTEByFEXcaIF198EUVRGDt2rL6vqKiI0aNH06RJE8LDwxkwYEC5e+GhQ4fo168foaGhxMTE8PTTT2O3293KrF27lquvvhqLxUKbNm2YN2+e1/WrVvNY0zSGDh1a7UwYRUVFXlekKmazmS5dupCRkUH//v0BUFWVjIwMxowZU+n7Xn75ZZ5//nlWrFhB165dq7zO77//zokTJ2jevHmt1l/UjgozQukrbZswKGbMQc6nQGGmpiTQAYAoNZxc5TglirNnwYQFixZMqOZ8ahqqmAg1BhES5DyXxagQZHBey+BaT9uuOnsTih0axQ6VAtcv5BmthDOu3otipYgSijG4Vvy+RG1OgXYJ/zPtBCBfU1FVV+YPxbmC97leCtXtM0p2KN8VyONnz+cL8QGJEcJLpZn7wtVwFOCQs5OC0yVBnLY7Y8jJYguX5BcS+1sBABHN9mGO2Y8hytk7p4SbwWgAhysr4JkS7KdsANiOqxTkmsk95ZyLc7ggjN/PmvnjrPO6x4s0HK4bRaQWrmetEg1DXcWILVu28N5775V7ADJu3DiWLVvG4sWLiYqKYsyYMdx111388MMPADgcDvr160dcXBwbNmzg6NGjDB48GJPJxAsvvADAgQMH6NevH4888ggLFiwgIyODESNG0Lx5c9LS0qpdx2o1LIYMGeLVBx80aFCdPKUZP348Q4YMoWvXrlx77bXMmjWLwsJCPQPI4MGDueSSS5g5cyYAL730ElOmTGHhwoW0bt2a7OxsAMLDwwkPD6egoIBp06YxYMAA4uLi2L9/PxMmTKBNmzZefYlCiMDi0Aw4PIyRdWiB80eCr8QHJEYIIXxEXcSIgoICBg0axN/+9jeee+45fX9+fj4ffvghCxcu5NZbbwXg448/pn379mzcuJHu3buzcuVKfvnlF1avXk1sbCzJycnMmDGDiRMnkp6ejtlsZu7cuSQmJvLaa68B0L59e9avX88bb7xR+w2Lsvm769O9997LsWPHmDJlCtnZ2SQnJ7N8+XJ9st6hQ4cwGM79x3r33Xex2WzcfffdbueZOnUq6enpGI1Gfv75Z+bPn09eXh7x8fH06tWLGTNmSJ5yIUSltCrGzzbkHOXn85X4gMQIIYSPqIsYMXr0aPr160dqaqpbwyIrK4uSkhK3pBPt2rWjZcuWZGZm0r17dzIzM+nYsaNbcou0tDRGjRrFrl27uOqqq8jMzHQ7R2mZskOuqsPvZgqNGTOm0m7ttWvXur0+ePCgx3OFhISwYsWKWq2fuLicw4ZKh0I5Fz4yG8MACDfEEKM5FyAyoBCihRCpOZ+URijBRJlMRFmcQ5YamRWiTBqRJmf/ZFiQisXg/NmggKpBsWtMZKHdwGl7EHk2Z3d4vi2YPJtzQl6erYRCrZizriFXFsVIqCGc4zQFoCjIisO1QJ6m2XFoJSiuIVABNHrG7wXy4ke+TmKEKEdzDTstXcRUtVOiOoev5pqOYj1rJUhz/jnUmGj2W52NxqbBFhpZgmmc40wCErlfJSLIQbDReS6LQdXjA0CJauCMw7VAnt1IXomBvBLnveBEkcaJYgfHbM7rniQPu+IcFmsznKXEcRaHatPrqGkquBZeFf6nujHi/HTUFoulwocWixYtYuvWrWzZsqXcsezsbMxmM9HR0W77Y2Nj9V7Y7OzsCjPmlR7zVMZqtXL27NlqJ9wInP56IYSoJWo1Nm+8++67dOrUSZ/sm5KSwrfffqsf96WJeUIIITyrboxISEggKipK30qHaZZ1+PBhnnjiCRYsWOCWsc5XScNCCCG85FAVHKrBw+Zdj0WLFi148cUXycrK4scff+TWW2/ljjvuYNeuXeCamPf111+zePFi1q1bx5EjR7jrrrvO1cc1Mc9ms7Fhwwbmz5/PvHnzmDJlil6mdGJejx492L59O2PHjmXEiBHyRF4IIWpZdWPE4cOHyc/P17eyC3yWysrKIjc3l6uvvpqgoCCCgoJYt24db775JkFBQcTGxmKz2cpl5yubES8uLq7CjHmlxzyViYyM9Co9uN8NhRLCmQ0KtyFQAAYlCKPBjMng/AUI16JpZD6XW7+kOJywIOfrRhYjMSEGYoKdfdixlhJig200CXZmrIkILiY42LkmhcGgoaoKRUXO954usnCiKJhjxc41L44WBZFb5PxVOl5k4ERREKcdzmNR5iBMBoWIs40AsBpCMLhylStKEIpiQCtt32saKGpgpRTyU7U9FOr22293e/3888/z7rvvsnHjRlq0aOFTE/OE8B+lz4WN+s+qZseh2ii2O4eg5Bv+oFCxEGZwDlcNdoRQ5HDe64scBkpUhRLXLdmhgaPM775zDL2mj6V3aAoO188lmnMrdi5/hE3VKHKoFGnO4U4FxnwKVeeaF3atmGL7aX0olKrZz+v3lCFR/qa6MaI6Kal79uzJjh073PYNGzaMdu3aMXHiRBISEjCZTGRkZDBgwAAA9u7dy6FDh0hJSQEgJSWF559/ntzcXGJiYgBYtWoVkZGRJCUl6WW++eYbt+usWrVKP0d1SY+FEEJ4SdWq3nCNny27FRcXV3VqHA4HixYtorCwkJSUlCon5gGVTsyzWq16r0dlE/NKzyGEEKJ2VDdGVEdERAQdOnRw28LCwmjSpAkdOnQgKiqK4cOHM378eL777juysrIYNmwYKSkpdO/eHYBevXqRlJTEgw8+yE8//cSKFSuYPHkyo0eP1ud0PPLII/z2229MmDCBPXv28M477/DZZ58xbtw4rz77BfVYZGRkkJGRQW5uLqrq3pL+6KOPLuSUQlwYxeB6GuXsATAYTJgMzonUoWoYkWZXbwZgV82Em5yvY0MMJISqtAx1/qHXIryQ2CanCY9z9lKYYoMwRDh7HQgygF1FPe3szbAfK6D50SByTzhznUecDifYtYqrUTGgamBwPngi2mzAZICwM85eFJMhlCBX2RLljKvu7uPghe+r7tOo81dcLs02VJEdO3aQkpJCUVER4eHhLFmyhKSkJLZv3+5TE/OqIvFB1JfStX8UFFcP8Lk1gRStNElGCapmoMRxBoDCkuOYjMEoijOOFBjCCFed49iLHEbXukXO85cYnT0SdtcfhcYyPRUAdu3czyWqQrHDue4RwBm7RqHDToHBuSbGGe0UZxwnnGUdRdjsp1G10snbJa4J52X++pSebL9ysRN8vPHGGxgMBgYMGEBxcTFpaWm88847+nGj0cjSpUsZNWoUKSkphIWFMWTIEKZPn66XSUxMZNmyZYwbN47Zs2fTokULPvjgA697tL1uWEybNo3p06fTtWtXmjdvjqJI9hMhRGApO+ShsuO4xs+W7eb2lKK0bdu2bN++nfz8fD7//HOGDBnCunXrarnmdUvigxBCVD9GXKjzM9wFBwczZ84c5syZU+l7WrVqVW6o0/luueUWtm3bVqO6ed2wmDt3LvPmzePBBx+s0YWFEMJfqVXkKFe9GD9bymw206ZNGwC6dOnCli1bmD17Nvfee68+Ma9sr8X5E/M2b97sdr66mpjnicQHIYSofoxoiLxuWNhsNq677rq6qY0QlXCuV1HJMaXMOhZKEEE4nwqHYCbi3NxtzjoMRJqd52lq0YgNLqFFeCEALeLzCGujENTama+cuEYQ5RzqhCkIHA6Mp5yT/YzZpzA2yifo13z93CWuFTaLVDNnHQolqrNbPcwEQYpCsOIcVhWEBYOhdPK2wTl5W1+B01HuM2uyuoVP0lBQPfw/qXk4Vl2qqlJcXEyXLl18amKeJxIfhG9S9SQZCiqaVoLDNUrPZgeHWoxRccaNM0GRnFGdDwPO2k0UOQzYXBl8bKpziJPZUDoECte/zw2JKlFLJ28r2FSFYtdg+mLXxO0zhtMAFNnzKSpxxhCHasOhFjmHQLnq6/5vdxIXfN/FiBG+yuvJ2yNGjGDhwoV1UxshhPADmlb15o1Jkybx/fffc/DgQXbs2MGkSZNYu3YtgwYN8rmJeZ5IfBBCiNqPEf7E6x6LoqIi3n//fVavXk2nTp0wmUxux19//fXarJ8QQvgch2bAoVX+XMbTsYrk5uYyePBgjh49SlRUFJ06dWLFihXcdttt4GMT8zyR+CCEELUfI/yJ1w2Ln3/+meTkZAB27tzpdkwm6omL79wvp4LBNRzK+ceMSTEQbDz3/6TFCCGu12FBDqJNJTQKd2YGCYlVCWoRDa2dWXO0S5qjlY5nN5vBZkNxLT6jhAQTpGqEFJ4CIMp6luizziwiYcVBWAxGgl2/WcFGhSBFw+QarmVUTCilWazO6zB0Dn0S/qCqdIHepBIE+PDDDz0e96WJeZ5IfBA+T1PRymTic6igaSolDuew2BLjGYoVZ3Ymm6pSomr68Ca75p75SUUDTdEHLJXNGFWiOjeba7xUsapyVimmWHMOhbKrZ7E7nJkGVc2GppWgafYydZRo4M9qO0b4E68bFt99913d1EQIIfxEIE/M80TigxBCBHaMqNHK27///jsALVq0qK36CFEjCka9J0Ap0wdgUJx9G0GuTgKTAiaDisnkfNZkCDFAuAXCnGtgEBbm3HD1WJhMUOKaWBcWAqFm53sAk0nFZHCex2TQCDKc60cxKhpBChhcE7UMGPXJ5lTQayH8g4bicfJdQ56YV10SH0S9Kx3IXkFvmaadmyCtYUctXZkbFYerR0NFw6GdmyytubbSp82q5owtZZ8+a2X+rZXpd9A057lLr+PQ7HoPhaapZerj4XMIvxHIMcLrv2pUVWX69OlERUXRqlUrWrVqRXR0NDNmzCi3GJIQQjREpTnKPW2BSOKDEEIEdozwusfi//7v//jwww958cUXuf766wFYv3496enpFBUV8fzzz9dFPYUQwmcE8vhZTyQ+CCFEYMcIrxsW8+fP54MPPuDPf/6zvq9Tp05ccsklPProoxI4RL3ScKC5upqd3dDn8o2raNhdD01LNOfaEyUlzk479awKBcVQ6JzMTWGhc/gTOIdA2WzOfQCFZ+GMzfkeoKTEoK9jUaIq2FXcJvMpaM5JfoCKw63LW6skT7nwbYE8ftYTiQ/Cp3hIGFB2/SNFCcLgGsBhwIDR9aeRAQWjcm4dpdLBLa5lLMr921nm3L/LDsdVFDBoBv06RiUIRXGtaYQKGCofDqUoMhzKzwRyjPC6YXHy5EnatWtXbn+7du04efJkbdVLCCF8llZmLHVlxwORxAchhAjsGOH1HIvOnTvz9ttvl9v/9ttv07lz59qqlxBC+CwHCnat8s3RgCfmeSLxQQghAjtGeN1j8fLLL9OvXz9Wr15NSkoKAJmZmRw+fLjKHOpC1D73YUWapuLQnNmbSjSVIse55wLFDo2zDufPhXYDeSUmThU4s0CF5dgwRJwmyJU2SimyoUS5nrCagsDhgFNW5+vsU9gPWTl71Fk2vzCEPJvZeV6HgWJVo8iVzLzIAUGKQomri9tBCRoOvb5lSd5y/6FpCpqHrmxPxxoyiQ/C57mGPimu9Y6MhmCMBjMmozMLoEkJxaI67+dmowGTQcHkegQbpDg3o+LKNujK/Ifr9700CyCAyeDczK61kywGAyEOCxZDhPNchhCCjM71jxyqAUeZcKBhR9FUiQh+LJBjhNc9FjfffDP//e9/ufPOO8nLyyMvL4+77rqLvXv3cuONN9ZNLYUQwoeo1dgCkcQHIYQI7BhxQetYxMfHyyQ8cVGVPs1XKug+LJ3w5uytsGOnGICz2Dhd4nwKZQAKS1R93YjjRgMhRhMWg2utiiMQW3ya8BPOXgpTrBVDhPOpFUEGsKuop52rsdqP2Sk4GkTuiUgADp0O52iR8+nXiWKFvGKVM3Znr0RhSRAmg0aR5nqvUoyqnp+7vOJbjPRg+K5AzvhRFYkPwvcYysQOA4piwmhw9haYgyIwGYMJNkYBEKpFEqpYAAgJMhBsBLPB+QttNmiYDJreY2FUzv3sfO1cywjApGiYDWBxPb61GA0E282Eas4eizPGKBwmZ6wqcRRhs6P3WpyLC6XPft1jhHNKeADfZPxAIMeIajUsfv75Zzp06IDBYODnn3/2WLZTp061VTchhPBJVeUhb8g5ys8n8UEIIdwFcoyoVsMiOTmZ7OxsYmJiSE5ORlEUtApSnymKgsPhqIt6CiGEzwjkVVXPJ/FBCCHcBXKMqFbD4sCBAzRr1kz/WQifoamguCZDa3ZUtYQS1bkWxRlDIVZblF40r8RGiWo691YMFKnO7vD8kiCOnw2hyfEiACJ+LSY42DkJ3GCwo6oKRUXOsqeLLJwoCuZYsXOo1NGiIHKLnDeJ40Uqp4odnHY432uxOSf/FSpnASjRzmBXi131VQH5Q8sfBXI39/kkPghf4TZUtswaFgoK6OtWmDAoZkxGV+IOU1OCFAuhSiMAwh0RhBqdfxoFGxUsRgWL0TW8yTUMqnSCtlHRMJQZChWkKPrQKJNB098PEBqkEGYPItweDsAZYyM0o/P+bzc4Y0JxiWtYr6KioaKUDvNF1rLwN4EcI6rVsGjVqpX+8//+9z+uu+46goLc32q329mwYYNbWSGEaIgCOWicT+KDEEK4C+QY4XVWqB49elS40FF+fj49evSorXpVas6cObRu3Zrg4GC6devG5s2bPZZfvHgx7dq1Izg4mI4dO5ZLeahpGlOmTKF58+aEhISQmprKvn376vhTiBrRNNeTm3OTtjVNRdXsOFQbJepZStSzFCh5nLKVcMpWQr7NzikKyLE7tz/OFPOb1c7ufNidDz/lmdh0IpT1uY1Yn9uI74/EsO5gvHM7cAnrDsbz/ZEYvj8Sw/rcRmw+Gcq2Uya2nTKxNx8OnLZz4LSdw4XFHLMXcorTnOK087rFdk4bTnHacIoS9SyqZkfV7Gia3dlrUbqhyhMpP6G6xs9WtjXkVVU9qe/4gMQI4cZQ5s8c588GJQijwYwlKBJLUCRRxktoorQiXI0iXI0iVLEQbDS4NmeqWZPi3IyuVLOKazMoGgYF1781fTK3UdEwuVLTWozOzWxQnOdUzAQrZsLVKJoorWiitKKRIQFLUARGgxmjwYxBCTrvzzOv/1QT9ay2Y8S7775Lp06diIyMJDIykpSUFL799lv9eFFREaNHj6ZJkyaEh4czYMAAcnJy3M5x6NAh+vXrR2hoKDExMTz99NPY7Xa3MmvXruXqq6/GYrHQpk0b5s2b5/Vn9/r/Vk3TUJTyX8iJEycICwvzugLe+PTTTxk/fjxTp05l69atdO7cmbS0NHJzcyssv2HDBu677z6GDx/Otm3b6N+/P/3792fnzp16mZdffpk333yTuXPnsmnTJsLCwkhLS6OoqKhOP4sQwn8FcipBT+ozPiAxQgjhI2o7RrRo0YIXX3yRrKwsfvzxR2699VbuuOMOdu3aBcC4ceP4+uuvWbx4MevWrePIkSPcdddd+vsdDgf9+vXDZrOxYcMG5s+fz7x585gyZYpe5sCBA/Tr148ePXqwfft2xo4dy4gRI1ixYoVXdVW0imbZVaC0gv/+97/p3bs3FovFrcI///wzbdu2Zfny5V5VwBvdunXjmmuu0Vd2VVWVhIQEHnvsMZ555ply5e+9914KCwtZunSpvq979+4kJyczd+5cNE0jPj6eJ598kqeeegpcT9ZiY2OZN28eAwcOrFa9rFYrUVFRgBEa8IQcX3D+GFoFIyjOYRcGgwWTMZxQc1MAGpsSaatd7jyGQq6Wj0lzzrGIUIKJMpmIshgBaGRWiDJpRJqcvw5hQSoWV9pAg+LstixWndcutBs4bVfIszlf59s08mzOsbJ5thIKtWLOKs4xs3FKNEZF4Rd+BeCE/TfO2I4DUGIvwKGeBc2VfhaHW4+FpBOsKxrgID8/n8jISK/eWfq7/m6HZwgxWiotd9ZRzKidL17QNfyRL8QHfDRGSHy4eMrPsTCc2++KE0ZDCEHGUD1ONDW1IVgLI0hzHm9MNE1Nzv9/mwYbaWRRaGx23osjTSoRQQ6Cjc4/Cy0GVY8PACWqgTMO5zUL7UbySgzklTjrdKJI40Sxg2M2Z2w4SR52xXnvt3GWY45fKSx2NoDtjjPnxQatXI+2xIe65B8xonHjxrzyyivcfffdNGvWjIULF3L33XcDsGfPHtq3b09mZibdu3fn22+/5U9/+hNHjhwhNjYWgLlz5zJx4kSOHTuG2Wxm4sSJLFu2zO3BysCBA8nLy/Pq3l3tdSycN0bnE6mIiAhCQkL0Y2azme7duzNy5MhqX9hbNpuNrKwsJk2apO8zGAykpqaSmZlZ4XsyMzMZP3682760tDS+/PJLcLXOsrOzSU1N1Y9HRUXRrVs3MjMzKw0axcXFFBcX66+tVmuNP5+4MBoaSpkhUQ7Vhs1RCECBMZdcYgCIIpyzylmsSh4AViwcLwkm1Ob8/zhUMRFqDCLEtfK2xWggyOAMCAbX0wW7K3oUOzSKHQ7OuDLcFKg2zrgmZxcrRZQoxRhwNliKtQgK1CIKFWdjoth+GrvD+aRT1eyAKgHCD1X1xCnQeizqOz7gQzFC4oMPUgwo+uRtAwZDECaD8//RGEdz2oVF6StkNzIrtAh1/gYnhBRzSVghsY0KAIhoVow5xoChkTNxhxJqAqNBX4BCO1OCesq5ZpHtuEpBrpncU851K/4oDOXQGQt/nHX23B0vCtXvE/89XUCe4Q+MBud5HWoRimJAKx1UokmSD39T3Rhx/v3BYrG4PZipiMPhYPHixRQWFpKSkkJWVhYlJSVu96l27drRsmVLvWGRmZlJx44d9UYFrnvdqFGj2LVrF1dddRWZmZlu5ygtM3bsWK8+e7UbFh9//DEArVu35qmnnroo3dplHT9+HIfD4falAMTGxrJnz54K35OdnV1h+ezsbP146b7KylRk5syZTJs27YI/ixDCvzk05+bpeCCp7/iAD8UIiQ9CiOrGiISEBLf9U6dOJT09vcL37Nixg5SUFIqKiggPD2fJkiUkJSWxfft2zGYz0dHRbuXPv5dVdB+jzH2usjJWq5WzZ8+6PTDyxOuVt6dOnertWxqcSZMmuT3lslqt5f7nEEI0XM6MH5UPa2nIGT88kfgg8UEIUf0YcfjwYbehUJ56K9q2bcv27dvJz8/n888/Z8iQIaxbt652K14LqtWwuPrqq8nIyKBRo0ZcddVVFU7OK7V169barJ+uadOmGI3GcrPcc3JyiIuLq/A9cXFxHsuX/jsnJ4fmzZu7lUlOTq60LtXpqhJ1wzn0yfX/n6aBooLrl1ejBFUzYLOfBqBQMXAoyLkScLgxBodWgp3SNSQcGBQTQYrzv6NJCcashmB2rU1hJAijZnS7tsO1XoYDOzbFhq10bQpDkX5eVXOuX1F63oOGYqzqUQpLXPMqHIWoms1Vh5Jz2aDO+4zCt2mlueU9HA8UvhAf8KEYIfHBP6iu+26BoQCNKFq6OtkSQkpIDHeuhdSyST5N2hRhusL5h5+S2BISmqM2dc7P0CIiICgISjPrnD5N0HHnvT7oj2xCfsshet8JAJr9WkCj49FEBDnXzzgcFMT/nCOssCoFrnWNRENR3RhRmuWpOsxmM23atAGgS5cubNmyhdmzZ3Pvvfdis9nIy8tz67U4/152foa80ntf2TIV3Q8jIyOr3VtBdRsWd9xxh36j7N+/f7VPXpvMZjNdunQhIyNDr4OqqmRkZDBmzJgK35OSkkJGRobb+LBVq1aRkpICQGJiInFxcWRkZOhBwmq1smnTJkaNGnVRPpcQwv/YNefm6Xig8IX4gMQIIYQPuRgxQlVViouL6dKlCyaTiYyMDAYMGADA3r17OXTokH4vS0lJ4fnnnyc3N5eYGOfc01WrVhEZGUlSUpJe5vx022Xvh9VVrYZF2e7t+uzqHj9+PEOGDKFr165ce+21zJo1i8LCQoYNGwbA4MGDueSSS5g5cyYATzzxBDfffDOvvfYa/fr1Y9GiRfz444+8//77ACiKwtixY3nuuee4/PLLSUxM5K9//Svx8fH1GiCFEL5NX0rFw/FA4SvxAYkRQggfUdsxYtKkSfTp04eWLVty+vRpFi5cyNq1a1mxYgVRUVEMHz6c8ePH07hxYyIjI3nsscdISUmhe/fuAPTq1YukpCQefPBBXn75ZbKzs5k8eTKjR4/WHww98sgjvP3220yYMIGHHnqINWvW8Nlnn7Fs2TKv6ur1HIvDhw+jKAotWrQAYPPmzSxcuJCkpCQefvhhb0/nlXvvvZdjx44xZcoUsrOzSU5OZvny5fpkk0OHDmEwnFua47rrrmPhwoVMnjyZZ599lssvv5wvv/ySDh066GUmTJhAYWEhDz/8MHl5edxwww0sX76c4ODgOv0sovaUDh1SNDtqmd7k4hJwqM4hSmcMJzGct2yLohgwKCa3n42lKQkx6ZkhFcWIViYrh4MSHKpdH/bkXJzv3M/nK1HP6pmgHGqRcwgUgGZ3H/YUSH+N+jlnLrLKh/xoAZpWtD7jAxIjRDWULqhaGhvyDcfYVxjBGXs4ADkhQfxR5ByaEl8QRlxOMTHbnMNeG0ccJjz6V0yRznu1MVRxZhF2hQfHGY0Sq/N3/4zVzElrKLlnLgHgyFkLR4uMHHWeipwzKkeKnUOu8oy52O3FrkyBoiGo7RiRm5vL4MGDOXr0KFFRUXTq1IkVK1Zw2223AfDGG29gMBgYMGAAxcXFpKWl8c477+jvNxqNLF26lFGjRpGSkkJYWBhDhgxh+vTpepnExESWLVvGuHHjmD17Ni1atOCDDz4gLS3Nq7pWex2LUjfeeCMPP/wwDz74INnZ2VxxxRV06NCBffv28dhjj7ktthEoJE/5xVVVrnKDwdn6NhqCCTIGu362eN+w0MtV0LDQat6w0FTbufzknGtYyByLulbzHOUvtp1EsLHyPyyLHEU8s3dmwKxjUUriQ3kSHy6eSmODYkQpXe9IsWAKCifE1BiAqKAWJKiXconF2bCICzHS3DkNgvhgB3HBxcSEljYszhAeXexlw8J5Mk8Ni0PG38izH9bXOCpdx0IrXcdCc8g6FheVxIia8Hrl7Z07d3LttdcC8Nlnn9GxY0c2bNjAggULLmjpbyGE8Del42c9bYFI4oMQQgR2jPB6KFRJSYk+Hmv16tX8+c9/BtdiHEePHq39GgpxHn3oE8q5zFCAhsE1HKp0wbwSHGqRq+y5BZKczi2WVPrv88u4l3fvjdA0Fa3MwnzuPRXly+m9FJrdlQlKVlP1Z5IVqmISH4RPKnu/VpwLqRbbnQuTnVayOWRUsZa4cvoXR3OwwPn/cLQ5iGhzKJFmZ8qo8CCNUKNGsNH5G25SNPeVtzWFIoerx8KhUGBXsNqcB60lGnnFdvLsziFYp5R8ThmcGXhO27Mptp/GoTozBqqa3RlTJFOU3wrkGOF1j8WVV17J3Llz+c9//sOqVavo3bs3AEeOHKFJkyZ1UUchhPApzhzlnjdvzJw5k2uuuYaIiAhiYmLo378/e/fudStTVFTE6NGjadKkCeHh4QwYMKBcasBDhw7Rr18/QkNDiYmJ4emnn8Zudx+3vXbtWq6++mosFgtt2rSp1Z4EiQ9CCFH7McKfeN2weOmll3jvvfe45ZZbuO++++jcuTMAX331ld4FLoQQDVlpxg9PmzfWrVvH6NGj2bhxI6tWraKkpIRevXpRWFiolxk3bhxff/01ixcvZt26dRw5coS77rpLP+5wOOjXrx82m40NGzYwf/585s2b5zav4cCBA/Tr148ePXqwfft2xo4dy4gRI1ixYkWtfC8SH4QQovZjhD/xeijULbfcwvHjx7FarTRq1Ejf//DDDxMaGlrb9RNCCJ9T2znKly9f7vZ63rx5xMTEkJWVxU033UR+fj4ffvghCxcu5NZbbwXg448/pn379mzcuJHu3buzcuVKfvnlF1avXk1sbCzJycnMmDGDiRMnkp6ejtlsZu7cuSQmJvLaa68B0L59e9avX88bb7zhdeaPikh8EEKIwF7ryOuGBa60VXa7nfXr14NrmfHWrVvXdt2E8OhcmtnSPQ40RQFXBidnJg3neFY9W4hyfiddxZ1258+vcLtuheNez9tXdj6G22jKMuUkC5Tfqu74WavV6ra/uqsy5+fnA9C4sTNzTVZWFiUlJaSmpupl2rVrR8uWLcnMzKR79+5kZmbSsWNHPbUqQFpaGqNGjWLXrl1cddVVZGZmup2jtEzZBeJqSuKD8AkVzL8D9JTkpfdxh2qjOOg0p43ZAOQYwrGozgxRIUWRhJwNw6w5f2ctmLEoQRhd8STovDhh11Qcrt/+Es1BMSUUKc40UGeVQooooEhx3hNsagE2h7NH0u5wZg5UNdccC7UYUMvEBrVhP+JugGSOhRcKCwt56KGHaN68OTfddBM33XQT8fHxDB8+nDNnztRNLYUQwodUd/xsQkICUVFR+la6MJvHc6sqY8eO5frrr9fXU8jOzsZsNhMdHe1WNjY2luzsbL1M2UZF6fHSY57KWK1Wzp49W5OvBCQ+CCEEyBwL74wfP55169bx9ddfk5eXR15eHv/+979Zt24dTz75ZN3UUgghfIiGUuWGa8G4/Px8fZs0aVKV5x49ejQ7d+5k0aJFF+GT1C6JD0IIUf0Y0RB5PRTqX//6F59//jm33HKLvq9v376EhIRwzz338O6779Z2HYUQwqc4NLB7yATpcD2NioyM9GrxozFjxrB06VK+//57ffVqgLi4OGw2G3l5eW69Fjk5OcTFxellNm/e7Ha+0qxRZcucn0kqJyeHyMhIQkJCql3Pykh8EEKI6seIhsjrHoszZ86U60oHiImJka5uIURA0KqxeXU+TWPMmDEsWbKENWvWkJiY6Ha8S5cumEwmMjIy9H179+7l0KFDpKSkAJCSksKOHTvIzc3Vy6xatYrIyEiSkpL0MmXPUVqm9Bw1JfFBCCFqP0b4E68bFikpKUydOpWioiJ939mzZ5k2bVqtBSchhPBltT1+dvTo0XzyyScsXLiQiIgIsrOzyc7O1uc9REVFMXz4cMaPH893331HVlYWw4YNIyUlhe7duwPQq1cvkpKSePDBB/npp59YsWIFkydPZvTo0fqE8UceeYTffvuNCRMmsGfPHt555x0+++wzxo0bVyvfi8QHIYQI7DkWXg+Fmj17NmlpabRo0ULPUf7TTz8RHBxca7nQhfCGW1YlTTuXAQpHmTLn/aB4Ht9YowQcVbxZskD5P831j6fj3igdIlR2CBGulLJDhw4F4I033sBgMDBgwACKi4tJS0vjnXfe0csajUaWLl3KqFGjSElJISwsjCFDhjB9+nS9TGJiIsuWLWPcuHHMnj2bFi1a8MEHH9RKqlkkPoh6pmcKLI0BpfdiRUVzPUdVNDuqqqK6MgY6VBN2xxmKlFMAGA1mDAbnn0YGxYRRCXJ7bcCEofRc5z2b1TQV1ZX5T9VKnK+1EgDsqg1VK0FV7a7r2tBKM1VpdjSt5FzWQK00I5SewqrCzyl8V23HCH+iaJr3f0KdOXOGBQsWsGfPHnDlQh80aFCtjNH1R1arlaioKMAIDXhCjr9QqvPfoIqGRY1Iw8LHaYCD/Px8r+Y/UOZ3/fFWk7AYgistV6wW8eb/Zl7QNfydxAd3Eh8uvnIxQFH0ARoKiivtuOu1YsKgBKEozsZDlQ0LpUzDQpGGRcMkMaImLmgdi9DQUEaOHFn7tRFCCD9QVVd2Q+7mrorEByFEoAvkGHFBDYu9e/fy1ltvsXv3bnA9kRozZgzt2rWr7foJIYTP0TTPHVOBvJaVxAchRKAL5Bjh9eTtf/3rX3To0IGsrCw6d+5M586d2bp1Kx07duRf//pX3dRSCCF8iFqNLRBJfBBCiMCOEV73WEyYMIFJkya5TQgEmDp1KhMmTGDAgAG1WT8hhPA5qlo2NUDFxwORxAchhAjsGOF1j8XRo0cZPHhwuf0PPPAAR48era16CSGEzwrkp1GeSHwQQojAjhFe91jccsst/Oc//6FNmzZu+9evX8+NN95Ym3UT4oJUK2NGQx7gKOpcII+f9UTig/AFFaeddT4/1hTF7TWaHUeZLFEO1eDK4OXM+qRgKJP9qeJsUG7X1sr+yajqrzX9Z0eZcudngTr3PskE5d8COUZ43WPx5z//mYkTJzJmzBg++eQTPvnkE8aMGcMzzzzDnXfeyVdffaVvQgjREAXy0yhPJD4IIUTtx4iZM2dyzTXXEBERQUxMDP3792fv3r1uZYqKihg9ejRNmjQhPDycAQMGkJOT41bm0KFD9OvXj9DQUGJiYnj66aex2+1uZdauXcvVV1+NxWKhTZs2zJs3z6u6er2OhcFQvbaIoig4HJ5GmDUckqdcCH9S8xzlQ+KewewhR7lNLWJ+9osNMke5JxIfypP4UH8qXNOozJoWVLiuhfRYCN+LEb1792bgwIFcc8012O12nn32WXbu3Mkvv/xCWFgYAKNGjWLZsmXMmzePqKgoxowZg8Fg4IcffgDA4XCQnJxMXFwcr7zyij50deTIkbzwwgsAHDhwgA4dOvDII48wYsQIMjIyGDt2LMuWLav2QqpeD4VSG/KMEyGEqAat7GrulRwPRBIfhBCi9mPE8uXL3V7PmzePmJgYsrKyuOmmm8jPz+fDDz9k4cKF3HrrrQB8/PHHtG/fno0bN9K9e3dWrlzJL7/8wurVq4mNjSU5OZkZM2YwceJE0tPTMZvNzJ07l8TERF577TVwpQtfv349b7zxRrUbFl4PhRJCiEBXuviRp00IIURgqm6MsFqtbltxcXG1zp+fnw9A48aNAcjKyqKkpITU1FS9TLt27WjZsiWZmZkAZGZm0rFjR2JjY/UyaWlpWK1Wdu3apZcpe47SMqXnqA5pWAghhJekYSGEEKIy1Y0RCQkJREVF6dvMmTOrPreqMnbsWK6//no6dOgAQHZ2NmazmejoaLeysbGxZGdn62XKNipKj5ce81TGarVy9uzZan32C1p5WwghAplDA4eH6WkOaVgIUe/KzkuoKEMUepYoh/6cVdPOldXANf+irOo+jz1vWKA+10LzUEbmVTQU1Y0Rhw8fdptjYbFYqjz36NGj2blzJ+vXr6+dytYyv+mxOHnyJIMGDSIyMpLo6GiGDx9OQUGBx/KPPfYYbdu2JSQkhJYtW/L444/r3UelFEUpty1atOgifCIhhL8qTSXoaRMXl8QIIYSvqG6MiIyMdNuqaliMGTOGpUuX8t1339GiRQt9f1xcHDabjby8PLfyOTk5xMXF6WXOzxJV+rqqMpGRkYSEhFTrs/tNw2LQoEHs2rWLVatWsXTpUr7//nsefvjhSssfOXKEI0eO8Oqrr7Jz507mzZvH8uXLGT58eLmyH3/8MUePHtW3/v371/GnEUL4M82Z46XSTZ40XnwSI4QQvqK2Y4SmaYwZM4YlS5awZs0aEhMT3Y536dIFk8lERkaGvm/v3r0cOnSIlJQUAFJSUtixYwe5ubl6mVWrVhEZGUlSUpJepuw5SsuUnqM6vE43e+utt3LzzTczdepUt/2nTp1iwIABrFmzxpvTVcvu3btJSkpiy5YtdO3aFVwz5Pv27cvvv/9OfHx8tc6zePFiHnjgAQoLCwkKco4CUxSFJUuW1ChQSDpBIfxJzVMJ3t1kIiZD5U+WStRiPj/xUsClm62P+ICPxwiJD76hwtSzlKafpXwKWv2FDIUKPL4XIx599FEWLlzIv//9b9q2bavvj4qK0nsSRo0axTfffMO8efOIjIzkscceA2DDhg1QJt1sfHw8L7/8MtnZ2Tz44IOMGDGiXLrZ0aNH89BDD7FmzRoef/xxr9LNet1jsXbtWt5++2369+9PYWGhvt9ms7Fu3TpvT1ctmZmZREdH6wEDIDU1FYPBwKZNm6p9ntL/gKUBo9To0aNp2rQp1157LR999BFetrWEEAHGoWlVboGoPuIDEiOEED6mtmPEu+++S35+PrfccgvNmzfXt08//VQv88Ybb/CnP/2JAQMGcNNNNxEXF8cXX3yhHzcajSxduhSj0UhKSgoPPPAAgwcPZvr06XqZxMREli1bxqpVq+jcuTOvvfYaH3zwQbUbFVzo5O3Vq1fz//7f/6N79+58/fXXtG7d+kJOU23Z2dnExMS47QsKCqJx48b6TPaqHD9+nBkzZpTrGp8+fTq33noroaGhrFy5kkcffZSCggIef/zxSs9VXFzslhLMarV6/ZmEEP6rqsxPgZwV6mLHB3wsRkh8EELUdoyozsOM4OBg5syZw5w5cyot06pVK7755huP57nlllvYtm2bdxUs44LmWDRv3px169bRsWNHrrnmGtauXXtBF3/mmWcqnBhXdtuzZ88Fnbssq9VKv379SEpKIj093e3YX//6V66//nquuuoqJk6cyIQJE3jllVc8nm/mzJlu6cESEhJqXEchhP/wNHa2dAtUtRUf8NMYIfFBCBHIMcLrHgvFNR7RYrGwcOFCnnvuOXr37s3EiRO9vviTTz7J0KFDPZa59NJLiYuLc5tsAmC32zl58qQ+k70yp0+fpnfv3kRERLBkyRJMJpPH8t26dWPGjBkUFxdXOjt/0qRJjB8/Xn9ttVoleAgRQLTyw6HLHQ9EtRkf8NMYIfHBN50/X8E9/SzlU9DqLxyU5+mZbBWrz3u4ccicioYjkGOE1w2L87tjJk+eTPv27RkyZIjXF2/WrBnNmjWrslxKSgp5eXlkZWXRpUsXANasWYOqqnTr1q3S91mtVtLS0rBYLHz11VcEBwdXea3t27fTqFEjjym/LBZLtXINCyEaJoemYfAQGgJ1jkVtxgf8NEZIfBBCBHKM8LphceDAgXI3+gEDBtCuXTt+/PHH2qybrn379vTu3ZuRI0cyd+5cSkpKGDNmDAMHDtSzffzxxx/07NmTv//971x77bVYrVZ69erFmTNn+OSTT/Tl0nEFK6PRyNdff01OTg7du3cnODiYVatW8cILL/DUU0/VyecQQjQMVXVlN+Rubk/qIz4gMUII4WMCOUZ43bBo1apVhfuvvPJKrrzyytqoU4UWLFjAmDFj6NmzJwaDgQEDBvDmm2/qx0tKSti7dy9nzpwBYOvWrXo2kDZt2rid68CBA7Ru3RqTycScOXMYN24cmqbRpk0bXn/9dUaOHFlnn0MI4f9UrYqg0YCfRnlSX/EBiRFCCB8SyDHC63UsRHmSp1wIf1LzHOWpUeMwKR5ylGvFrM5/I+DWsRDlSXzwTZWua0HZtS0qI3MsGjaJETVxQelmhRAikDnQUDyNn5U/EIQQImAFcoyQhoUQQnhJ0zSPTxelI1gI3+bp91ep8te3okxRNb+uaDgCOUZIw0IIIbwUyBPzhBBCeBbIMUIaFkII4aVADhpCCCE8C+QYcUErbwshRCBzVOMfb33//ffcfvvtxMfHoygKX375pdtxTdOYMmUKzZs3JyQkhNTUVPbt2+dW5uTJkwwaNIjIyEiio6MZPnw4BQUFbmV+/vlnbrzxRoKDg0lISODll1++wG9BCCFEReoiRvgLaVgIIYSXSp9Gedq8VVhYSOfOnZkzZ06Fx19++WXefPNN5s6dy6ZNmwgLCyMtLY2ioiK9zKBBg9i1axerVq1i6dKlfP/99zz88MP68dK1G1q1akVWVhavvPIK6enpvP/++xf4TQghhDhfXcQIfyFDoYQQwkuq6x9Px73Vp08f+vTpU+ExTdOYNWsWkydP5o477gDg73//O7GxsXz55ZcMHDiQ3bt3s3z5crZs2ULXrl0BeOutt+jbty+vvvoq8fHxLFiwAJvNxkcffYTZbObKK69k+/btvP76624NECGEEBeuLmKEv5AeCyGE8JKmaGiK6mGr3adRBw4cIDs7m9TUVH1fVFQU3bp1IzMzE4DMzEyio6P1RgVAamoqBoNBXwguMzOTm266CbPZrJdJS0tj7969nDp1qlbrLIQQgepixwhfIj0WQgjhJef42MrHyJaOn7VarW77LRYLFkvliyZVJjs7G4DY2Fi3/bGxsfqx7OxsYmJi3I4HBQXRuHFjtzKJiYnlzlF6rFGjRl7XTYiGRlLCipqqboxoiKTHQgghvFT16FlnN3dCQgJRUVH6NnPmzPquuhBCiDpW3RjREEmPhRBCeElVVBSl6vGzhw8fJjIyUt9/Ib0VAHFxcQDk5OTQvHlzfX9OTg7Jycl6mdzcXLf32e12Tp48qb8/Li6OnJwctzKlr0vLCCGEqJnqxoiGSHoshBDCS2o1/gGIjIx02y60YZGYmEhcXBwZGRn6PqvVyqZNm0hJSQEgJSWFvLw8srKy9DJr1qxBVVW6deuml/n+++8pKSnRy6xatYq2bdvKMCghhKgl1Y0RDZE0LIQQwksO7FVu3iooKGD79u1s374dXBO2t2/fzqFDh1AUhbFjx/Lcc8/x1VdfsWPHDgYPHkx8fDz9+/cHoH379vTu3ZuRI0eyefNmfvjhB8aMGcPAgQOJj48H4P7778dsNjN8+HB27drFp59+yuzZsxk/fnwtf0NCCBG4ajtG+NM6R9KwEEIIL6k4qty89eOPP3LVVVdx1VVXATB+/HiuuuoqpkyZAsCECRN47LHHePjhh7nmmmsoKChg+fLlBAcH6+dYsGAB7dq1o2fPnvTt25cbbrjBbY2KqKgoVq5cyYEDB+jSpQtPPvkkU6ZMkVSzQghRi2o7RvjTOkeKpmmS/qCGrFYrUVFRgBFQ6rs6QgiPNMBBfn6+2/yH6ij9Xb8i+i8YFVOl5RxaCf/NW3xB1xANi8QHIfyNb8cIRVFYsmSJ3lutaRrx8fE8+eSTPPXUUwDk5+cTGxvLvHnz9HWOkpKS3NY5Wr58OX379uX3338nPj6ed999l//7v/8jOztbT0n+zDPP8OWXX7Jnz55q1096LIQQwkuqola5CSGECEwXM0b42jpHkhVKCCG8pFJSo+NCCCEarurGiNpY68jX1jmSHgshhPCSqjmq3IQQQgSm6saIhrjWkfRYCCGEl6pa4KghL34khBDCs+rGiNpY68jX1jmSHgshhPCShqPKTQghRGCqboyojbWOfG2dI2lYCCGElxw4qshRLg0LIYQIVLUdI/xpnSMZCiWEEF7SNAeah9ShmsyxEEKIgFXbMeLHH3+kR48e+uvSP/aHDBnCvHnzmDBhAoWFhTz88MPk5eVxww03VLjO0ZgxY+jZsycGg4EBAwbw5ptv6sdL1zkaPXo0Xbp0oWnTphe0zpGsY1ELJE+5EP6k5jnK46JuwqBU/lxG1exk538v61gIiQ9C+B2JETUhPRZCCOEl5xhZD0+jZCiUEEIErECOEdKwEEIILzk0O566elXNfhFrI4QQwpcEcozwm8nbJ0+eZNCgQURGRhIdHc3w4cMpKCjw+J5bbrkFRVHctkceecStzKFDh+jXrx+hoaHExMTw9NNPY7c33P/gQoia0zRHlZu4uCRGCCF8RSDHCL/psRg0aBBHjx5l1apVlJSUMGzYMB5++GEWLlzo8X0jR45k+vTp+uvQ0FD9Z4fDQb9+/YiLi2PDhg0cPXqUwYMHYzKZeOGFF+r08wgh/JeGVkWOcpm6drFJjBBC+IpAjhF+0bDYvXs3y5cvZ8uWLXTt2hWAt956i759+/Lqq6/qqbIqEhoaWunCHitXruSXX35h9erVxMbGkpyczIwZM5g4cSLp6emYzeY6+0xCCP+laWoVGT9kgbyLSWKEEMKXBHKM8IuhUJmZmURHR+sBAyA1NRWDwcCmTZs8vnfBggU0bdqUDh06MGnSJM6cOeN23o4dOxIbG6vvS0tLw2q1smvXrjr6NEIIf6dpJageNk0rqcZZRG2RGCGE8CWBHCP8osciOzubmJgYt31BQUE0btyY7OzsSt93//3306pVK+Lj4/n555+ZOHEie/fu5YsvvtDPWzZgAPprT+ctLi6muLhYf221Wi/4swkh/I/zaVNgPo3yRb4UIyQ+CCECOUbUa8PimWee4aWXXvJYZvfu3Rd8/rKLenTs2JHmzZvTs2dP9u/fz2WXXXbB5505cybTpk274PcLIfybioriMZVgww0aF5M/xgiJD0KIQI4R9dqwePLJJxk6dKjHMpdeeilxcXHk5ua67bfb7Zw8ebLSsbEV6datGwC//vorl112GXFxcWzevNmtTE5ODoDH806aNMltiXOr1UpCQkK16yGE8G+B/DTqYvLHGCHxQQgRyDGiXhsWzZo1o1mzZlWWS0lJIS8vj6ysLLp06QLAmjVrUFVVDwTVsX37dgCaN2+un/f5558nNzdX70ZftWoVkZGRJCUlVXoei8WCxWKp9nWFEA2LqtlRPGX8aMBB42Lyxxgh8UEIEcgxwi8mb7dv357evXszcuRINm/ezA8//MCYMWMYOHCgnu3jjz/+oF27dvrTpf379zNjxgyysrI4ePAgX331FYMHD+amm26iU6dOAPTq1YukpCQefPBBfvrpJ1asWMHkyZMZPXq0BAYhRKU0Ta1yExePxAghhC8J5BjhFw0LXJk72rVrR8+ePenbty833HAD77//vn68pKSEvXv36hk9zGYzq1evplevXrRr144nn3ySAQMG8PXXX+vvMRqNLF26FKPRSEpKCg888ACDBw92y2kuhBDnC+Sg4askRgghfEUgxwhF07SGu0rHRWK1WomKigKMHsfUCSF8gQY4yM/PJzIy0qt3lv6uW8wtUJTKn8tomkqx7fcLuoZoWCQ+COFvJEbUhF+kmxVCCF+iqvYqg4YQQojAFMgxQhoWQgjhtaqCQsMNGkIIIaoSuDFCGhZCCOGlqp42NeSnUUIIITwL5BghDQshhPBSVYsbNeTFj4QQQngWyDFCGhZCCOElTbNXsfiR5MQQQohAFcgxQhoWQgjhpapXVW24QUMIIYRngRwj/GYdCyGE8B1qNTbvzZkzh9atWxMcHEy3bt30xdyEEEL4k9qPEf4SH6RhIYQQ3tLUqjcvffrpp4wfP56pU6eydetWOnfuTFpaGrm5uXXyEYQQQtSRWo4R/hQfpGEhhBBe0nBUuXnr9ddfZ+TIkQwbNoykpCTmzp1LaGgoH330UZ18BiGEEHWjtmOEP8UHaVgIIYTXNNA8bHg3ftZms5GVlUVqaqq+z2AwkJqaSmZmZh3UXwghRN2pvRjhb/FBJm/XgnOTcBruZBwhGg7n72nNJs9paNX4fbdarW6vLRYLFoulXLnjx4/jcDiIjY112x8bG8uePXtqUE9R3yQ+COFvfCtG+Ft8kIZFLTh9+rTrp4abl1iIhub06dNERUV59R6z2UxcXBzZ2dlVlg0PDychIcFt39SpU0lPT/e6rsJ/SXwQwj9JjLgw0rCoBfHx8Rw+fJiIiAgUpfL0Yr7EarWSkJDA4cOHiYyMrO/q+CT5jqrH374nTdM4ffo08fHxXr83ODiYAwcOYLPZqnWd8+8HFfVWADRt2hSj0UhOTo7b/pycHOLi4ryup/Ad/hgf8MPf6/og31HV/PE78rUY4W/xQRoWtcBgMNCiRYv6rsYFiYyM9Jtf9voi31H1+NP35O1TqLKCg4MJDg6u1fqYzWa6dOlCRkYG/fv3B0BVVTIyMhgzZkytXktcXP4cH/Cz3+v6It9R1fztO/KlGOFv8UEaFkII4QPGjx/PkCFD6Nq1K9deey2zZs2isLCQYcOG1XfVhBBC1CN/ig/SsBBCCB9w7733cuzYMaZMmUJ2djbJycksX7683IQ9IYQQgcWf4oM0LAKUxWJh6tSplY75FvIdVZd8T7VnzJgxPtm1LQKP/F5XTb6jqsl3VHv8JT4oWs3yaQkhhBBCCCGELJAnhBBCCCGEqDlpWAghhBBCCCFqTBoWQgghhBBCiBqThkWAeffdd+nUqZOeUzolJYVvv/22vqvl01588UUURWHs2LH1XRWfkZ6ejqIoblu7du3qu1pCiBqQ+OA9iQ8VkxgRuCQrVIBp0aIFL774IpdffjmapjF//nzuuOMOtm3bxpVXXlnf1fM5W7Zs4b333qNTp071XRWfc+WVV7J69Wr9dVCQ3E6E8GcSH7wj8cEziRGBSXosAsztt99O3759ufzyy7niiit4/vnnCQ8PZ+PGjfVdNZ9TUFDAoEGD+Nvf/kajRo3quzo+JygoiLi4OH1r2rRpfVdJCFEDEh+qT+JD1SRGBCZpWAQwh8PBokWLKCwsJCUlpb6r43NGjx5Nv379SE1Nre+q+KR9+/YRHx/PpZdeyqBBgzh06FB9V0kIUUskPngm8aFqEiMCk/RLBaAdO3aQkpJCUVER4eHhLFmyhKSkpPqulk9ZtGgRW7duZcuWLfVdFZ/UrVs35s2bR9u2bTl69CjTpk3jxhtvZOfOnURERNR39YQQF0jiQ9UkPlRNYkTgkoZFAGrbti3bt28nPz+fzz//nCFDhrBu3ToJHi6HDx/miSeeYNWqVQQHB9d3dXxSnz599J87depEt27daNWqFZ999hnDhw+v17oJIS6cxAfPJD5Uj8SIwCUrbwtSU1O57LLLeO+99+q7Kj7hyy+/5M4778RoNOr7HA4HiqJgMBgoLi52OyacrrnmGlJTU5k5c2Z9V0UIUUskPriT+HDhJEYEBumxEKiqSnFxcX1Xw2f07NmTHTt2uO0bNmwY7dq1Y+LEiRI0KlBQUMD+/ft58MEH67sqQohaJPHBncSHCyMxInBIwyLATJo0iT59+tCyZUtOnz7NwoULWbt2LStWrKjvqvmMiIgIOnTo4LYvLCyMJk2alNsfqJ566iluv/12WrVqxZEjR5g6dSpGo5H77ruvvqsmhLhAEh+qJvGheiRGBC5pWASY3NxcBg8ezNGjR4mKiqJTp06sWLGC2267rb6rJvzI77//zn333ceJEydo1qwZN9xwAxs3bqRZs2b1XTUhxAWS+CBqi8SIwCVzLIQQQgghhBA1JutYCCGEEEIIIWpMGhZCCCGEEEKIGpOGhRBCCCGEEKLGpGEhhBBCCCGEqDFpWAghhBBCCCFqTBoWQgghhBBCiBqThoUQQgghhBCixqRhIYQQQgghhKgxaViIBm/o0KH079/fY5m1a9eiKAp5eXl1WpdbbrkFRVFQFIXt27fX6bUAWrdurV+vrj+bEEL4I4kREiNE7ZGVt0WDl5+fj6ZpREdHg+vGnZyczKxZs/QyNpuNkydPEhsbi6IodVaXW265hSuuuILp06fTtGlTgoKC6uxaAMeOHeM///kPAwYM4NSpU/p3IIQQwklihMQIUXvq9v9YIXxAVFRUlWXMZjNxcXEXpT6hoaEX7VrNmjWjcePGF+VaQgjhjyRGSIwQtUeGQolac+zYMeLi4njhhRf0fRs2bMBsNpORkVHhew4ePIiiKCxatIjrrruO4OBgOnTowLp169zKrVu3jmuvvRaLxULz5s155plnsNvt+vHPP/+cjh07EhISQpMmTUhNTaWwsBDO6+YeOnQo69atY/bs2Xr378GDByvs5v7Xv/7FlVdeicVioXXr1rz22mtudWrdujUvvPACDz30EBEREbRs2ZL333/f6+9t3rx55Z4Sffnll25PxdLT00lOTuajjz6iZcuWhIeH8+ijj+JwOHj55ZeJi4sjJiaG559/3uvrCyHExSAxQmKEaPikYSFqTbNmzfjoo49IT0/nxx9/5PTp0zz44IOMGTOGnj17enzv008/zZNPPsm2bdtISUnh9ttv58SJEwD88ccf9O3bl2uuuYaffvqJd999lw8//JDnnnsOgKNHj3Lffffx0EMPsXv3btauXctdd91FRaP8Zs+eTUpKCiNHjuTo0aMcPXqUhISEcuWysrK45557GDhwIDt27CA9PZ2//vWvzJs3z63ca6+9RteuXdm2bRuPPvooo0aNYu/evTX8Jiu2f/9+vv32W5YvX84///lPPvzwQ/r168fvv//OunXreOmll5g8eTKbNm2qk+sLIURNSIyQGCECgCZELXv00Ue1K664Qrv//vu1jh07akVFRZWWPXDggAZoL774or6vpKREa9GihfbSSy9pmqZpzz77rNa2bVtNVVW9zJw5c7Tw8HDN4XBoWVlZGqAdPHiwwmsMGTJEu+OOO/TXN998s/bEE0+4lfnuu+80QDt16pSmaZp2//33a7fddptbmaefflpLSkrSX7dq1Up74IEH9NeqqmoxMTHau+++W+nnrejaH3/8sRYVFeW2b8mSJVrZX8+pU6dqoaGhmtVq1felpaVprVu31hwOh76vbdu22syZMz1+NiGEqE8SIyRGiIZLeixErXv11Vex2+0sXryYBQsWYLFYqnxPSkqK/nNQUBBdu3Zl9+7dAOzevZuUlBS3bt/rr7+egoICfv/9dzp37kzPnj3p2LEjf/nLX/jb3/7GqVOnavQZdu/ezfXXX++27/rrr2ffvn04HA59X6dOnfSfFUUhLi6O3NzcGl27Mq1btyYiIkJ/HRsbS1JSEgaDwW1fXV1fCCFqg8QIiRGi4ZKGhah1+/fv58iRI6iqysGDB+v8ekajkVWrVvHtt9+SlJTEW2+9Rdu2bTlw4ECdX9tkMrm9VhQFVVW9OofBYCjXJV9SUlKta9XG9YUQ4mKSGCExQjRc0rAQtcpms/HAAw9w7733MmPGDEaMGFGtpyMbN27Uf7bb7WRlZdG+fXsA2rdvT2ZmptuN9YcffiAiIoIWLVqA62Z5/fXXM23aNLZt24bZbGbJkiUVXstsNrs9UapI+/bt+eGHH9z2/fDDD1xxxRUYjcYqP483mjVrxunTp/WJhMBFyV8uhBAXm8QI70mMEP5EGhaiVv3f//0f+fn5vPnmm0ycOJErrriChx56qMr3zZkzhyVLlrBnzx5Gjx7NqVOn9Pc9+uijHD58mMcee4w9e/bw73//m6lTpzJ+/HgMBgObNm3ihRde4Mcff+TQoUN88cUXHDt2TA8652vdujWbNm3i4MGDHD9+vMKnN08++SQZGRnMmDGD//73v8yfP5+3336bp556qha+JXfdunUjNDSUZ599lv3797Nw4cJyEwCFEKIhkBjhPYkRwp9Iw0LUmrVr1zJr1iz+8Y9/EBkZicFg4B//+Af/+c9/ePfddz2+98UXX+TFF1+kc+fOrF+/nq+++oqmTZsCcMkll/DNN9+wefNmOnfuzCOPPMLw4cOZPHkyAJGRkXz//ff07duXK664gsmTJ/Paa6/Rp0+fCq/11FNPYTQaSUpKolmzZhw6dKhcmauvvprPPvuMRYsW0aFDB6ZMmcL06dMZOnRorXxXZTVu3JhPPvmEb775ho4dO/LPf/6T9PT0Wr+OEELUJ4kRF0ZihPAnsvK2qFcHDx4kMTGRbdu2kZycXN/VqXMVreha19auXUuPHj1kVVUhhN+RGFH3JEaI2iQ9FkJcZO+88w7h4eHs2LGjzq915ZVXVvpUTgghhO+RGCH8WVB9V0CIQLJgwQLOnj0LQMuWLev8et98842ePSQyMrLOryeEEOLCSYwQ/k6GQgkhhBBCCCFqTIZCCSGEEEIIIWpMGhZCCCGEEEKIGpOGhRBCCCGEEKLGpGEhhBBCCCGEqDFpWAghhBBCCCFqTBoWQgghhBBCiBqThoUQQgghhBCixqRhIYQQQgghhKgxaVgIIYQQQgghauz/A7p8hKAII62vAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 800x300 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mode_solver = ModeSolver(\n",
    "    simulation=sim_tm,\n",
    "    plane=td.Box(center=mode_monitor_through.center, size=mode_monitor_through.size),\n",
    "    mode_spec=mode_spec,\n",
    "    freqs=freqs,\n",
    ")\n",
    "mode_data_inner = run_mode_solver(mode_solver)\n",
    "\n",
    "plot_field_intensity(mode_data_inner)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "f302b33b",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-05-15T10:35:06.864372Z",
     "iopub.status.busy": "2025-05-15T10:35:06.864130Z",
     "iopub.status.idle": "2025-05-15T10:35:07.666138Z",
     "shell.execute_reply": "2025-05-15T10:35:07.665503Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 12 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_field_components(mode_data_inner)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "13f4ea8d",
   "metadata": {},
   "source": [
    "Calculate the OPLs for the inner waveguide and plot them as well as the OPLs for the outer waveguide. We see that the OPL of the TM mode on the inner bend (red curve) closely matches the OPL of the TE mode on the outer bend (blue dashed curve)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "08484033",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-05-15T10:35:07.668456Z",
     "iopub.status.busy": "2025-05-15T10:35:07.668216Z",
     "iopub.status.idle": "2025-05-15T10:35:08.005288Z",
     "shell.execute_reply": "2025-05-15T10:35:08.004778Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n_eff_inner = mode_data_inner.n_eff.values\n",
    "OPL_inner = n_eff_inner * R1\n",
    "\n",
    "# plot calculated OPLs\n",
    "plt.plot(ldas, OPL_outer[:, 0], linewidth=3, linestyle=\"--\", label=\"TE mode on outer bend\")\n",
    "plt.plot(ldas, OPL_outer[:, 1], linewidth=3, linestyle=\"--\", label=\"TM mode on outer bend\")\n",
    "plt.plot(ldas, OPL_inner[:, 0], linewidth=3, label=\"TE mode on inner bend\")\n",
    "plt.plot(ldas, OPL_inner[:, 1], linewidth=3, label=\"TM mode on inner bend\")\n",
    "plt.legend()\n",
    "plt.ylim(16, 30)\n",
    "plt.xlabel(r\"Wavelength ($\\mu m$)\")\n",
    "plt.ylabel(\"OPL (a.u.)\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3c6d5c06",
   "metadata": {},
   "source": [
    "## Running the TM Simulation"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "130f3dcb",
   "metadata": {},
   "source": [
    "Now that we have confirmed the design from a mode analysis perspective, we need to verify the device performance using 3D FDTD. We are ready to submit the simulation job to the server. Before running the simulation, we can get a cost estimation using `estimate_cost`. This prevents us from accidentally running large jobs that we set up by mistake. The estimated cost is the maximum cost corresponding to running all the time steps."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "a3b46296",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-05-15T10:35:08.007268Z",
     "iopub.status.busy": "2025-05-15T10:35:08.007131Z",
     "iopub.status.idle": "2025-05-15T10:35:11.779863Z",
     "shell.execute_reply": "2025-05-15T10:35:11.779375Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">16:30:12 CEST </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'psr_tm'</span> with task_id                                \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-fd2cf15d-61aa-4adc-885d-1c4005ba7a12'</span> and task_type <span style=\"color: #008000; text-decoration-color: #008000\">'FDTD'</span>. \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m16:30:12 CEST\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'psr_tm'\u001b[0m with task_id                                \n",
       "\u001b[2;36m              \u001b[0m\u001b[32m'fdve-fd2cf15d-61aa-4adc-885d-1c4005ba7a12'\u001b[0m and task_type \u001b[32m'FDTD'\u001b[0m. \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>View task using web UI at                                         \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-fd2cf15d-61aa-4adc-885d-1c4005ba7a12\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-fd2cf15d-61</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-fd2cf15d-61aa-4adc-885d-1c4005ba7a12\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">aa-4adc-885d-1c4005ba7a12'</span></a>.                                       \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m             \u001b[0m\u001b[2;36m \u001b[0mView task using web UI at                                         \n",
       "\u001b[2;36m              \u001b[0m\u001b]8;id=776000;https://tidy3d.simulation.cloud/workbench?taskId=fdve-fd2cf15d-61aa-4adc-885d-1c4005ba7a12\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=528900;https://tidy3d.simulation.cloud/workbench?taskId=fdve-fd2cf15d-61aa-4adc-885d-1c4005ba7a12\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=776000;https://tidy3d.simulation.cloud/workbench?taskId=fdve-fd2cf15d-61aa-4adc-885d-1c4005ba7a12\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=400280;https://tidy3d.simulation.cloud/workbench?taskId=fdve-fd2cf15d-61aa-4adc-885d-1c4005ba7a12\u001b\\\u001b[32mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=776000;https://tidy3d.simulation.cloud/workbench?taskId=fdve-fd2cf15d-61aa-4adc-885d-1c4005ba7a12\u001b\\\u001b[32m-fd2cf15d-61\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m              \u001b[0m\u001b]8;id=776000;https://tidy3d.simulation.cloud/workbench?taskId=fdve-fd2cf15d-61aa-4adc-885d-1c4005ba7a12\u001b\\\u001b[32maa-4adc-885d-1c4005ba7a12'\u001b[0m\u001b]8;;\u001b\\.                                       \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>Task folder: <a href=\"https://tidy3d.simulation.cloud/folders/folder-7a0ee478-ee62-43e0-9a9e-26a06b299b0a\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'default'</span></a>.                                           \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m             \u001b[0m\u001b[2;36m \u001b[0mTask folder: \u001b]8;id=735270;https://tidy3d.simulation.cloud/folders/folder-7a0ee478-ee62-43e0-9a9e-26a06b299b0a\u001b\\\u001b[32m'default'\u001b[0m\u001b]8;;\u001b\\.                                           \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "f3b5b1beb346487ba2d0fe8aa2f9e68b",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">16:30:14 CEST </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1.889</span>. Minimum cost depends on task      \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>execution details. Use <span style=\"color: #008000; text-decoration-color: #008000\">'web.real_cost(task_id)'</span> to get the billed \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>FlexCredit cost after a simulation run.                           \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m16:30:14 CEST\u001b[0m\u001b[2;36m \u001b[0mMaximum FlexCredit cost: \u001b[1;36m1.889\u001b[0m. Minimum cost depends on task      \n",
       "\u001b[2;36m              \u001b[0mexecution details. Use \u001b[32m'web.real_cost\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m to get the billed \n",
       "\u001b[2;36m              \u001b[0mFlexCredit cost after a simulation run.                           \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">16:30:15 CEST </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1.889</span>. Minimum cost depends on task      \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>execution details. Use <span style=\"color: #008000; text-decoration-color: #008000\">'web.real_cost(task_id)'</span> to get the billed \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>FlexCredit cost after a simulation run.                           \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m16:30:15 CEST\u001b[0m\u001b[2;36m \u001b[0mMaximum FlexCredit cost: \u001b[1;36m1.889\u001b[0m. Minimum cost depends on task      \n",
       "\u001b[2;36m              \u001b[0mexecution details. Use \u001b[32m'web.real_cost\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m to get the billed \n",
       "\u001b[2;36m              \u001b[0mFlexCredit cost after a simulation run.                           \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "job_tm = web.Job(simulation=sim_tm, task_name=\"psr_tm\", verbose=True)\n",
    "estimated_cost = web.estimate_cost(job_tm.task_id)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1a3ed992",
   "metadata": {},
   "source": [
    "The cost is reasonable so we can run the simulation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "0cf30b5b",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-05-15T10:35:11.790821Z",
     "iopub.status.busy": "2025-05-15T10:35:11.790749Z",
     "iopub.status.idle": "2025-05-15T10:37:43.749047Z",
     "shell.execute_reply": "2025-05-15T10:37:43.748193Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">16:30:16 CEST </span>status = queued                                                   \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m16:30:16 CEST\u001b[0m\u001b[2;36m \u001b[0mstatus = queued                                                   \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>To cancel the simulation, use <span style=\"color: #008000; text-decoration-color: #008000\">'web.abort(task_id)'</span> or             \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><span style=\"color: #008000; text-decoration-color: #008000\">'web.delete(task_id)'</span> or abort/delete the task in the web UI.     \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>Terminating the Python script will not stop the job running on the\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>cloud.                                                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m             \u001b[0m\u001b[2;36m \u001b[0mTo cancel the simulation, use \u001b[32m'web.abort\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m or             \n",
       "\u001b[2;36m              \u001b[0m\u001b[32m'web.delete\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m or abort/delete the task in the web UI.     \n",
       "\u001b[2;36m              \u001b[0mTerminating the Python script will not stop the job running on the\n",
       "\u001b[2;36m              \u001b[0mcloud.                                                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "f38e7b2c6f9040698fe4335f67b3b961",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">16:30:23 CEST </span>status = preprocess                                               \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m16:30:23 CEST\u001b[0m\u001b[2;36m \u001b[0mstatus = preprocess                                               \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">16:30:27 CEST </span>starting up solver                                                \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m16:30:27 CEST\u001b[0m\u001b[2;36m \u001b[0mstarting up solver                                                \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">16:30:28 CEST </span>running solver                                                    \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m16:30:28 CEST\u001b[0m\u001b[2;36m \u001b[0mrunning solver                                                    \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "b737bad5aef24a2c824979af04b5e3b3",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">16:31:37 CEST </span>early shutoff detected at <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">64</span>%, exiting.                           \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m16:31:37 CEST\u001b[0m\u001b[2;36m \u001b[0mearly shutoff detected at \u001b[1;36m64\u001b[0m%, exiting.                           \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>status = postprocess                                              \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m             \u001b[0m\u001b[2;36m \u001b[0mstatus = postprocess                                              \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "2ea55461d2f94056bae9aecabf86f446",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">16:31:40 CEST </span>status = success                                                  \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m16:31:40 CEST\u001b[0m\u001b[2;36m \u001b[0mstatus = success                                                  \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">16:31:42 CEST </span>View simulation result at                                         \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-fd2cf15d-61aa-4adc-885d-1c4005ba7a12\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-fd2cf15d-61</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-fd2cf15d-61aa-4adc-885d-1c4005ba7a12\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">aa-4adc-885d-1c4005ba7a12'</span></a><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">.</span>                                       \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m16:31:42 CEST\u001b[0m\u001b[2;36m \u001b[0mView simulation result at                                         \n",
       "\u001b[2;36m              \u001b[0m\u001b]8;id=172773;https://tidy3d.simulation.cloud/workbench?taskId=fdve-fd2cf15d-61aa-4adc-885d-1c4005ba7a12\u001b\\\u001b[4;34m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=821810;https://tidy3d.simulation.cloud/workbench?taskId=fdve-fd2cf15d-61aa-4adc-885d-1c4005ba7a12\u001b\\\u001b[4;34mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=172773;https://tidy3d.simulation.cloud/workbench?taskId=fdve-fd2cf15d-61aa-4adc-885d-1c4005ba7a12\u001b\\\u001b[4;34m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=261124;https://tidy3d.simulation.cloud/workbench?taskId=fdve-fd2cf15d-61aa-4adc-885d-1c4005ba7a12\u001b\\\u001b[4;34mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=172773;https://tidy3d.simulation.cloud/workbench?taskId=fdve-fd2cf15d-61aa-4adc-885d-1c4005ba7a12\u001b\\\u001b[4;34m-fd2cf15d-61\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m              \u001b[0m\u001b]8;id=172773;https://tidy3d.simulation.cloud/workbench?taskId=fdve-fd2cf15d-61aa-4adc-885d-1c4005ba7a12\u001b\\\u001b[4;34maa-4adc-885d-1c4005ba7a12'\u001b[0m\u001b]8;;\u001b\\\u001b[4;34m.\u001b[0m                                       \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "89078138bb8c40e78c65529690b56cfa",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">16:31:45 CEST </span>loading simulation from data/simulation_data.hdf5                 \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m16:31:45 CEST\u001b[0m\u001b[2;36m \u001b[0mloading simulation from data/simulation_data.hdf5                 \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sim_data_tm = job_tm.run(path=\"data/simulation_data.hdf5\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1eb4bc32",
   "metadata": {},
   "source": [
    "## TM Result Visualization"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7c040e83",
   "metadata": {},
   "source": [
    "After the simulation is complete, we first plot the field distribution. From the field distribution, we observe an efficient coupling from the inner bend to the outer bend."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "9b6c96b2",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-05-15T10:37:45.498913Z",
     "iopub.status.busy": "2025-05-15T10:37:45.498751Z",
     "iopub.status.idle": "2025-05-15T10:37:46.873797Z",
     "shell.execute_reply": "2025-05-15T10:37:46.873437Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sim_data_tm.plot_field(\n",
    "    field_monitor_name=\"field\", field_name=\"E\", val=\"abs\", f=freq0, vmin=0, vmax=70\n",
    ")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1ec2ad77",
   "metadata": {},
   "source": [
    "More quantitatively, we plot the mode conversion efficiencies. Indeed, a high TM to TE mode conversion at the cross port is observed as desired. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "6aab55e2",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-05-15T10:37:46.875122Z",
     "iopub.status.busy": "2025-05-15T10:37:46.875018Z",
     "iopub.status.idle": "2025-05-15T10:37:46.943395Z",
     "shell.execute_reply": "2025-05-15T10:37:46.942817Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_conversion_efficiency(sim_data, pol):\n",
    "    # extract the transmission data from the mode monitor\n",
    "    T_cross_te = np.abs(sim_data[\"cross\"].amps.sel(mode_index=0, direction=\"+\")) ** 2\n",
    "    T_cross_tm = np.abs(sim_data[\"cross\"].amps.sel(mode_index=1, direction=\"+\")) ** 2\n",
    "\n",
    "    T_through_te = np.abs(sim_data[\"through\"].amps.sel(mode_index=0, direction=\"+\")) ** 2\n",
    "    T_through_tm = np.abs(sim_data[\"through\"].amps.sel(mode_index=1, direction=\"+\")) ** 2\n",
    "\n",
    "    # plot transmission\n",
    "    plt.plot(ldas, 10 * np.log10(T_cross_te), linewidth=3, label=f\"{pol}->TE (cross)\")\n",
    "    plt.plot(ldas, 10 * np.log10(T_cross_tm), linewidth=3, label=f\"{pol}->TM (cross)\")\n",
    "    plt.plot(\n",
    "        ldas, 10 * np.log10(T_through_te), linewidth=3, linestyle=\"--\", label=f\"{pol}->TE (through)\"\n",
    "    )\n",
    "    plt.plot(\n",
    "        ldas, 10 * np.log10(T_through_tm), linewidth=3, linestyle=\"--\", label=f\"{pol}->TM (through)\"\n",
    "    )\n",
    "    plt.legend()\n",
    "    plt.xlabel(r\"Wavelength ($\\mu m$)\")\n",
    "    plt.ylabel(\"Mode conversion efficiency (dB)\")\n",
    "    plt.title(f\"Mode conversion efficiency for {pol} mode\")\n",
    "    plt.show()\n",
    "\n",
    "\n",
    "plot_conversion_efficiency(sim_data_tm, \"TM\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "df6c9537",
   "metadata": {},
   "source": [
    "## Running the TE Simulation"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7ad774d8",
   "metadata": {},
   "source": [
    "Now that we have confirmed the TM to TE polarization rotation of the device, we need to confirm the TE-TE conversion at the through port. The TE mode at the inner waveguide will not couple to the outer waveguide due to the phase matching condition is not met as shown above. \n",
    "\n",
    "To run the TE simulation, we only need to update the `mode_index` from `1` to `0` in the [ModeSource](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.ModeSource.html)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "12ae16ea",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-05-15T10:37:46.945254Z",
     "iopub.status.busy": "2025-05-15T10:37:46.944943Z",
     "iopub.status.idle": "2025-05-15T10:39:50.413774Z",
     "shell.execute_reply": "2025-05-15T10:39:50.413414Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">16:31:46 CEST </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'psr_te'</span> with task_id                                \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-8d4df233-f94a-425d-a07b-a4d24534cbd7'</span> and task_type <span style=\"color: #008000; text-decoration-color: #008000\">'FDTD'</span>. \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m16:31:46 CEST\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'psr_te'\u001b[0m with task_id                                \n",
       "\u001b[2;36m              \u001b[0m\u001b[32m'fdve-8d4df233-f94a-425d-a07b-a4d24534cbd7'\u001b[0m and task_type \u001b[32m'FDTD'\u001b[0m. \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>View task using web UI at                                         \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-8d4df233-f94a-425d-a07b-a4d24534cbd7\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-8d4df233-f9</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-8d4df233-f94a-425d-a07b-a4d24534cbd7\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">4a-425d-a07b-a4d24534cbd7'</span></a>.                                       \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m             \u001b[0m\u001b[2;36m \u001b[0mView task using web UI at                                         \n",
       "\u001b[2;36m              \u001b[0m\u001b]8;id=275348;https://tidy3d.simulation.cloud/workbench?taskId=fdve-8d4df233-f94a-425d-a07b-a4d24534cbd7\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=698717;https://tidy3d.simulation.cloud/workbench?taskId=fdve-8d4df233-f94a-425d-a07b-a4d24534cbd7\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=275348;https://tidy3d.simulation.cloud/workbench?taskId=fdve-8d4df233-f94a-425d-a07b-a4d24534cbd7\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=729146;https://tidy3d.simulation.cloud/workbench?taskId=fdve-8d4df233-f94a-425d-a07b-a4d24534cbd7\u001b\\\u001b[32mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=275348;https://tidy3d.simulation.cloud/workbench?taskId=fdve-8d4df233-f94a-425d-a07b-a4d24534cbd7\u001b\\\u001b[32m-8d4df233-f9\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m              \u001b[0m\u001b]8;id=275348;https://tidy3d.simulation.cloud/workbench?taskId=fdve-8d4df233-f94a-425d-a07b-a4d24534cbd7\u001b\\\u001b[32m4a-425d-a07b-a4d24534cbd7'\u001b[0m\u001b]8;;\u001b\\.                                       \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>Task folder: <a href=\"https://tidy3d.simulation.cloud/folders/folder-7a0ee478-ee62-43e0-9a9e-26a06b299b0a\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'default'</span></a>.                                           \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m             \u001b[0m\u001b[2;36m \u001b[0mTask folder: \u001b]8;id=153689;https://tidy3d.simulation.cloud/folders/folder-7a0ee478-ee62-43e0-9a9e-26a06b299b0a\u001b\\\u001b[32m'default'\u001b[0m\u001b]8;;\u001b\\.                                           \n"
      ]
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     "metadata": {},
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       "model_id": "bfc833fda5ff48ee975ce5fd7f17859f",
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      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">16:31:49 CEST </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1.889</span>. Minimum cost depends on task      \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>execution details. Use <span style=\"color: #008000; text-decoration-color: #008000\">'web.real_cost(task_id)'</span> to get the billed \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>FlexCredit cost after a simulation run.                           \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m16:31:49 CEST\u001b[0m\u001b[2;36m \u001b[0mMaximum FlexCredit cost: \u001b[1;36m1.889\u001b[0m. Minimum cost depends on task      \n",
       "\u001b[2;36m              \u001b[0mexecution details. Use \u001b[32m'web.real_cost\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m to get the billed \n",
       "\u001b[2;36m              \u001b[0mFlexCredit cost after a simulation run.                           \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">16:31:50 CEST </span>status = queued                                                   \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m16:31:50 CEST\u001b[0m\u001b[2;36m \u001b[0mstatus = queued                                                   \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>To cancel the simulation, use <span style=\"color: #008000; text-decoration-color: #008000\">'web.abort(task_id)'</span> or             \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><span style=\"color: #008000; text-decoration-color: #008000\">'web.delete(task_id)'</span> or abort/delete the task in the web UI.     \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>Terminating the Python script will not stop the job running on the\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>cloud.                                                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m             \u001b[0m\u001b[2;36m \u001b[0mTo cancel the simulation, use \u001b[32m'web.abort\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m or             \n",
       "\u001b[2;36m              \u001b[0m\u001b[32m'web.delete\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m or abort/delete the task in the web UI.     \n",
       "\u001b[2;36m              \u001b[0mTerminating the Python script will not stop the job running on the\n",
       "\u001b[2;36m              \u001b[0mcloud.                                                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "e27e85785fef4c43b77a0e4d50ff420f",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">16:31:54 CEST </span>status = preprocess                                               \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m16:31:54 CEST\u001b[0m\u001b[2;36m \u001b[0mstatus = preprocess                                               \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">16:32:01 CEST </span>starting up solver                                                \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m16:32:01 CEST\u001b[0m\u001b[2;36m \u001b[0mstarting up solver                                                \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>running solver                                                    \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m             \u001b[0m\u001b[2;36m \u001b[0mrunning solver                                                    \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "44688d7254934b8d920e27b36ddbee2e",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">16:33:36 CEST </span>early shutoff detected at <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">96</span>%, exiting.                           \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m16:33:36 CEST\u001b[0m\u001b[2;36m \u001b[0mearly shutoff detected at \u001b[1;36m96\u001b[0m%, exiting.                           \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>status = postprocess                                              \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m             \u001b[0m\u001b[2;36m \u001b[0mstatus = postprocess                                              \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "1d89f911a2254233b2ab4e75131aff55",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">16:33:38 CEST </span>status = success                                                  \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m16:33:38 CEST\u001b[0m\u001b[2;36m \u001b[0mstatus = success                                                  \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">16:33:40 CEST </span>View simulation result at                                         \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-8d4df233-f94a-425d-a07b-a4d24534cbd7\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-8d4df233-f9</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-8d4df233-f94a-425d-a07b-a4d24534cbd7\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">4a-425d-a07b-a4d24534cbd7'</span></a><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">.</span>                                       \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m16:33:40 CEST\u001b[0m\u001b[2;36m \u001b[0mView simulation result at                                         \n",
       "\u001b[2;36m              \u001b[0m\u001b]8;id=252455;https://tidy3d.simulation.cloud/workbench?taskId=fdve-8d4df233-f94a-425d-a07b-a4d24534cbd7\u001b\\\u001b[4;34m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=740829;https://tidy3d.simulation.cloud/workbench?taskId=fdve-8d4df233-f94a-425d-a07b-a4d24534cbd7\u001b\\\u001b[4;34mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=252455;https://tidy3d.simulation.cloud/workbench?taskId=fdve-8d4df233-f94a-425d-a07b-a4d24534cbd7\u001b\\\u001b[4;34m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=166773;https://tidy3d.simulation.cloud/workbench?taskId=fdve-8d4df233-f94a-425d-a07b-a4d24534cbd7\u001b\\\u001b[4;34mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=252455;https://tidy3d.simulation.cloud/workbench?taskId=fdve-8d4df233-f94a-425d-a07b-a4d24534cbd7\u001b\\\u001b[4;34m-8d4df233-f9\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m              \u001b[0m\u001b]8;id=252455;https://tidy3d.simulation.cloud/workbench?taskId=fdve-8d4df233-f94a-425d-a07b-a4d24534cbd7\u001b\\\u001b[4;34m4a-425d-a07b-a4d24534cbd7'\u001b[0m\u001b]8;;\u001b\\\u001b[4;34m.\u001b[0m                                       \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "7d9b3f9269c34001b6d6a6ad7901bf7e",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">16:33:44 CEST </span>loading simulation from data/simulation_data.hdf5                 \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m16:33:44 CEST\u001b[0m\u001b[2;36m \u001b[0mloading simulation from data/simulation_data.hdf5                 \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mode_source = mode_source.copy(update={\"mode_index\": 0})\n",
    "sim_te = sim_tm.copy(update={\"sources\": [mode_source]})\n",
    "sim_data_te = web.run(simulation=sim_te, task_name=\"psr_te\", path=\"data/simulation_data.hdf5\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2bb0d346",
   "metadata": {},
   "source": [
    "## TE Result Visualization"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2c2a2b84",
   "metadata": {},
   "source": [
    "Field distribution shows minimal coupling to the outer waveguide."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "0e35adb6",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-05-15T10:39:51.163291Z",
     "iopub.status.busy": "2025-05-15T10:39:51.163135Z",
     "iopub.status.idle": "2025-05-15T10:39:52.144417Z",
     "shell.execute_reply": "2025-05-15T10:39:52.143993Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sim_data_te.plot_field(\n",
    "    field_monitor_name=\"field\", field_name=\"E\", val=\"abs\", f=freq0, vmin=0, vmax=70\n",
    ")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "74c64ac0",
   "metadata": {},
   "source": [
    "As expected, the input TE mode stays at the inner waveguide as TE polarization. Both simulations confirm the good performance of the PSR design."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "8bfc483e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-05-15T10:39:52.145819Z",
     "iopub.status.busy": "2025-05-15T10:39:52.145726Z",
     "iopub.status.idle": "2025-05-15T10:39:52.211858Z",
     "shell.execute_reply": "2025-05-15T10:39:52.211386Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_conversion_efficiency(sim_data_te, \"TE\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a6867ae6",
   "metadata": {},
   "source": [
    " > For more integrated photonic examples such as the [8-Channel mode and polarization de-multiplexer](https://www.flexcompute.com/tidy3d/examples/notebooks/8ChannelDemultiplexer/), the [broadband bi-level taper polarization rotator-splitter](https://www.flexcompute.com/tidy3d/examples/notebooks/BilevelPSR/), and the [broadband directional coupler](https://www.flexcompute.com/tidy3d/examples/notebooks/BroadbandDirectionalCoupler/), please visit our [examples page](https://www.flexcompute.com/tidy3d/examples/). If you are new to the finite-difference time-domain (FDTD) method, we highly recommend going through our [FDTD101](https://www.flexcompute.com/fdtd101/) tutorials. FDTD simulations can diverge due to various reasons. If you run into any simulation divergence issues, please follow the steps outlined in our [troubleshooting guide](https://www.flexcompute.com/tidy3d/examples/notebooks/DivergedFDTDSimulation/) to resolve it. "
   ]
  }
 ],
 "metadata": {
  "applications": [
   "Passive photonic integrated circuit components"
  ],
  "description": "This notebook demonstrates how to model a PSR based on 90 degree bends in Tidy3D FDTD.",
  "feature_image": "./img/90_bend_PSR_1.png",
  "features": [
   "GDS component",
   "Mode analysis"
  ],
  "kernelspec": {
   "display_name": ".venv",
   "language": "python",
   "name": "python3"
  },
  "keywords": "silicon photonics, PIC, integrated photonics, PSR, Tidy3D, FDTD",
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.13.5"
  },
  "title": "PSR based on 90 degree bends | Flexcompute",
  "widgets": {
   "application/vnd.jupyter.widget-state+json": {
    "state": {
     "08893e8ece3b403bbb98af9faaa58a77": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
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      "state": {
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       "_model_module_version": "1.0.0",
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       "_view_count": null,
       "_view_module": "@jupyter-widgets/output",
       "_view_module_version": "1.0.0",
       "_view_name": "OutputView",
       "layout": "IPY_MODEL_93ee530feb71401384238b0bfa87aabc",
       "msg_id": "",
       "outputs": [
        {
         "data": {
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          "text/plain": "\u001b[1;31m↑\u001b[0m \u001b[1;34mmode_solver.hdf5.gz\u001b[0m \u001b[38;2;114;156;31m━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[35m100.0%\u001b[0m • \u001b[32m44.9/44.9 kB\u001b[0m • \u001b[31m?\u001b[0m • \u001b[36m0:00:00\u001b[0m\n"
         },
         "metadata": {},
         "output_type": "display_data"
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