{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "da3f0190",
   "metadata": {},
   "source": [
    "# Waveguide Y junction"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "eab8c7bd",
   "metadata": {},
   "source": [
    "Power splitters such as Y-junctions are widely used in photonic integrated circuits across different applications. When designing a power splitter, we aim to achieve a flat broadband response, low insertion loss, and compact footprint. At the same time, the design needs to comply with the fabrication resolution and tolerance.\n",
    "\n",
    "In this example, we demonstrate the modeling of a Y-junction for integrated photonics. The designed device shows an average insertion loss below 0.2 dB in the wavelength range of 1500 nm to 1600 nm. At the same time, it has a small footprint. The junction area is smaller than 2 $\\mu m$ by 2 $\\mu m$, much smaller than the typical power splitters based on multimode interference devices. The design is adapted from [Yi Zhang, Shuyu Yang, Andy Eu-Jin Lim, Guo-Qiang Lo, Christophe Galland, Tom Baehr-Jones, and Michael Hochberg, \"A compact and low loss Y-junction for submicron silicon waveguide,\" Opt. Express 21, 1310-1316 (2013)](https://opg.optica.org/oe/fulltext.cfm?uri=oe-21-1-1310).\n",
    "\n",
    "<img src=\"img/y_junction_schematic.png\">"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "ad43045e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-27T23:47:02.306336Z",
     "iopub.status.busy": "2023-03-27T23:47:02.306184Z",
     "iopub.status.idle": "2023-03-27T23:47:03.664582Z",
     "shell.execute_reply": "2023-03-27T23:47:03.664014Z"
    }
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import tidy3d as td\n",
    "\n",
    "import tidy3d.web as web\n",
    "from tidy3d.plugins.mode import ModeSolver\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "128b718e",
   "metadata": {},
   "source": [
    "## Simulation Setup  "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c26dafaa",
   "metadata": {},
   "source": [
    "Define simulation wavelength range to be 1.5 $\\mu m$ to 1.6 $\\mu m$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "3a2dd129",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-27T23:47:03.667202Z",
     "iopub.status.busy": "2023-03-27T23:47:03.666920Z",
     "iopub.status.idle": "2023-03-27T23:47:03.686371Z",
     "shell.execute_reply": "2023-03-27T23:47:03.685840Z"
    }
   },
   "outputs": [],
   "source": [
    "lda0 = 1.55  # central wavelength\n",
    "freq0 = td.C_0 / lda0  # central frequency\n",
    "ldas = np.linspace(1.5, 1.6, 101)  # wavelength range\n",
    "freqs = td.C_0 / ldas  # frequency range\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "946d0a45",
   "metadata": {},
   "source": [
    "In this model, the Y-junction is made of silicon. The top and bottom claddings are made of silicon oxide. We will model them as non-dispersive materials here."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "b90f342c",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-27T23:47:03.688684Z",
     "iopub.status.busy": "2023-03-27T23:47:03.688526Z",
     "iopub.status.idle": "2023-03-27T23:47:03.707421Z",
     "shell.execute_reply": "2023-03-27T23:47:03.706885Z"
    }
   },
   "outputs": [],
   "source": [
    "n_si = 3.48  # silicon refractive index\n",
    "si = td.Medium(permittivity=n_si**2)\n",
    "\n",
    "n_sio2 = 1.44  # silicon oxide refractive index\n",
    "sio2 = td.Medium(permittivity=n_sio2**2)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "473f2133",
   "metadata": {},
   "source": [
    "The junction is discretized into 13 segments. Each segment is a tapper with the given widths. The optimum design is obtained by optimizing the 13 width parameters using the Particle Swarm Optimization algorithm. For the sake of simplicity, in this notebook, we skip the optimization procedure and only present the optimized result."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "c67cbbf5",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-27T23:47:03.709835Z",
     "iopub.status.busy": "2023-03-27T23:47:03.709661Z",
     "iopub.status.idle": "2023-03-27T23:47:03.729588Z",
     "shell.execute_reply": "2023-03-27T23:47:03.729044Z"
    }
   },
   "outputs": [],
   "source": [
    "t = 0.22  # thickness of the silicon layer\n",
    "\n",
    "# width of the 13 segments\n",
    "w1 = 0.5\n",
    "w2 = 0.5\n",
    "w3 = 0.6\n",
    "w4 = 0.7\n",
    "w5 = 0.9\n",
    "w6 = 1.26\n",
    "w7 = 1.4\n",
    "w8 = 1.4\n",
    "w9 = 1.4\n",
    "w10 = 1.4\n",
    "w11 = 1.31\n",
    "w12 = 1.2\n",
    "w13 = 1.2\n",
    "\n",
    "l_in = 1  # input waveguide length\n",
    "l_junction = 2  # length of the junction\n",
    "l_bend = 6  # horizontal length of the waveguide bend\n",
    "h_bend = 2  # vertical offset of the waveguide bend\n",
    "l_out = 1  # output waveguide length\n",
    "inf_eff = 100  # effective infinity\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "98ae6d2c",
   "metadata": {},
   "source": [
    "First, define the junction structure by using a [PolySlab](../_autosummary/tidy3d.PolySlab.html?highlight=polyslab). The vertices are given by the widths of the segments defined above. If a smooth curve is desirable, one can interpolate the vertices to a finer grid using spline for example. \n",
    "\n",
    "Before proceeding further to construct other structures, we can use the [plot](../_autosummary/tidy3d.Structure.html) method to inspect the geometry. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "f1bd7cba",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-27T23:47:03.731924Z",
     "iopub.status.busy": "2023-03-27T23:47:03.731752Z",
     "iopub.status.idle": "2023-03-27T23:47:04.120469Z",
     "shell.execute_reply": "2023-03-27T23:47:04.119990Z"
    }
   },
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(l_in, l_in + l_junction, 13)  # x coordinates of the top edge vertices\n",
    "y = np.array(\n",
    "    [w1, w2, w3, w4, w5, w6, w7, w8, w9, w10, w11, w12, w13]\n",
    ")  # y coordinates of the top edge vertices\n",
    "\n",
    "# using concatenate to include bottom edge vertices\n",
    "x = np.concatenate((x, np.flipud(x)))\n",
    "y = np.concatenate((y / 2, -np.flipud(y / 2)))\n",
    "\n",
    "# stacking x and y coordinates to form vertices pairs\n",
    "vertices = np.transpose(np.vstack((x, y)))\n",
    "\n",
    "junction = td.Structure(\n",
    "    geometry=td.PolySlab(vertices=vertices, axis=2, slab_bounds=(0, t)), medium=si\n",
    ")\n",
    "junction.plot(z=t / 2)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f33fc2d8",
   "metadata": {},
   "source": [
    "The waveguide bends are defined in a similar way. Here, we use S bend sine waveguides, which are described by the function\n",
    "<center>$y = \\frac{xh_{band}}{l_{bend}}-\\frac{h_{bend}}{2\\pi}sin(\\frac{2\\pi x}{l_{bend}})$.</center>\n",
    "\n",
    "Different types of bend can also be used here. Again, to ensure the structure is defined correctly, use the `plot` method to inspect it before proceeding."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "2f517ebb",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-27T23:47:04.122624Z",
     "iopub.status.busy": "2023-03-27T23:47:04.122434Z",
     "iopub.status.idle": "2023-03-27T23:47:04.400328Z",
     "shell.execute_reply": "2023-03-27T23:47:04.399604Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x_start = l_in + l_junction  # x coordinate of the starting point of the waveguide bends\n",
    "x = np.linspace(\n",
    "    x_start, x_start + l_bend, 100\n",
    ")  # x coordinates of the top edge vertices\n",
    "y = (\n",
    "    (x - x_start) * h_bend / l_bend\n",
    "    - h_bend * np.sin(2 * np.pi * (x - x_start) / l_bend) / (np.pi * 2)\n",
    "    + w13 / 2\n",
    ")  # y coordinates of the top edge vertices\n",
    "\n",
    "# using concatenate to include bottom edge vertices\n",
    "x = np.concatenate((x, np.flipud(x)))\n",
    "y = np.concatenate((y, np.flipud(y - w1)))\n",
    "\n",
    "# stacking x and y coordinates to form vertices pairs\n",
    "vertices = np.transpose(np.vstack((x, y)))\n",
    "\n",
    "wg_bend_1 = td.Structure(\n",
    "    geometry=td.PolySlab(vertices=vertices, axis=2, slab_bounds=(0, t)), medium=si\n",
    ")\n",
    "\n",
    "# the second waveguide bend can be obtained simply by flipping the sign of the y coordinates of the first bend\n",
    "vertices = np.transpose(np.vstack((x, -y)))\n",
    "\n",
    "wg_bend_2 = td.Structure(\n",
    "    geometry=td.PolySlab(vertices=vertices, axis=2, slab_bounds=(0, t)), medium=si\n",
    ")\n",
    "\n",
    "wg_bend_1.plot(z=t / 2)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fecdf772",
   "metadata": {},
   "source": [
    "Lastly, define the straight input and output waveguides using `Box`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "37f3f2e2",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-27T23:47:04.403908Z",
     "iopub.status.busy": "2023-03-27T23:47:04.403632Z",
     "iopub.status.idle": "2023-03-27T23:47:04.426202Z",
     "shell.execute_reply": "2023-03-27T23:47:04.425595Z"
    }
   },
   "outputs": [],
   "source": [
    "# straight input waveguide\n",
    "wg_in = td.Structure(\n",
    "    geometry=td.Box.from_bounds(rmin=(-inf_eff, -w1 / 2, 0), rmax=(l_in, w1 / 2, t)),\n",
    "    medium=si,\n",
    ")\n",
    "\n",
    "# top straight output waveguide\n",
    "wg_out_1 = td.Structure(\n",
    "    geometry=td.Box.from_bounds(\n",
    "        rmin=(l_in + l_junction + l_bend, w13 / 2 - w1 + h_bend, 0),\n",
    "        rmax=(inf_eff, w13 / 2 + h_bend, t),\n",
    "    ),\n",
    "    medium=si,\n",
    ")\n",
    "\n",
    "# bottom straight output waveguide\n",
    "wg_out_2 = td.Structure(\n",
    "    geometry=td.Box.from_bounds(\n",
    "        rmin=(l_in + l_junction + l_bend, -w13 / 2 - h_bend, 0),\n",
    "        rmax=(inf_eff, -w13 / 2 + w1 - h_bend, t),\n",
    "    ),\n",
    "    medium=si,\n",
    ")\n",
    "\n",
    "# the entire model is the collection of all structures defined so far\n",
    "y_junction = [wg_in, junction, wg_bend_1, wg_bend_2, wg_out_1, wg_out_2]\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "051768d5",
   "metadata": {},
   "source": [
    "Define the simulation domain. Here we ensure sufficient buffer spacing in each direction. In general, we want to make sure that the structure is at least half a wavelength away from the domain boundaries unless it goes into the PML."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "f0cef4aa",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-27T23:47:04.428769Z",
     "iopub.status.busy": "2023-03-27T23:47:04.428500Z",
     "iopub.status.idle": "2023-03-27T23:47:04.451219Z",
     "shell.execute_reply": "2023-03-27T23:47:04.450498Z"
    }
   },
   "outputs": [],
   "source": [
    "Lx = l_in + l_junction + l_out + l_bend  # simulation domain size in x direction\n",
    "Ly = w13 + 2 * h_bend + 1.5 * lda0  # simulation domain size in y direction\n",
    "Lz = 10 * t  # simulation domain size in z direction\n",
    "sim_size = (Lx, Ly, Lz)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4eaa0e1e",
   "metadata": {},
   "source": [
    "We will use a [ModeSource](../_autosummary/tidy3d.ModeSource.html) to excite the input waveguide using the fundamental TE mode. \n",
    "\n",
    "A [FluxMonitor](../_autosummary/tidy3d.FluxMonitor.html) is placed at the top output waveguide to measure the transmission. A [FieldMonitor](../_autosummary/tidy3d.FieldMonitor.html) is added to the xy plane to visualize the power flow."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "dbf57f31",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-27T23:47:04.454505Z",
     "iopub.status.busy": "2023-03-27T23:47:04.454128Z",
     "iopub.status.idle": "2023-03-27T23:47:04.481248Z",
     "shell.execute_reply": "2023-03-27T23:47:04.480571Z"
    }
   },
   "outputs": [],
   "source": [
    "# add a mode source as excitation\n",
    "mode_source = td.ModeSource(\n",
    "    center=(l_in / 2, 0, t / 2),\n",
    "    size=(0, 4 * w1, 6 * t),\n",
    "    source_time=td.GaussianPulse(freq0=freq0, fwidth=freq0 / 10),\n",
    "    direction=\"+\",\n",
    "    mode_spec=td.ModeSpec(num_modes=1, target_neff=n_si),\n",
    "    mode_index=0,\n",
    ")\n",
    "\n",
    "# add a flux monitor to measure transmission at the output waveguide\n",
    "flux_monitor = td.FluxMonitor(\n",
    "    center=(l_in + l_junction + l_bend + l_out / 2, w13 / 2 - w1 / 2 + h_bend, t / 2),\n",
    "    size=(0, 4 * w1, 6 * t),\n",
    "    freqs=freqs,\n",
    "    name=\"flux\",\n",
    ")\n",
    "\n",
    "# add a filed monitor to visualize field distribution at z=t/2\n",
    "field_monitor = td.FieldMonitor(\n",
    "    center=(0, 0, t / 2), size=(td.inf, td.inf, 0), freqs=[freq0], name=\"field\"\n",
    ")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "725eee9e",
   "metadata": {},
   "source": [
    "Set up the simulation with the previously defined structures, source, and monitors. All boundaries are set to PML to mimic infinite open space. Since the top and bottom claddings are silicon oxide, we will set the medium of the background to silicon oxide. \n",
    "\n",
    "In principle, we can impose symmetry to reduce the computational load. Since this model is relatively small and quick to solve, we will simply model the whole device without using symmetry."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "9a4ec279",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-27T23:47:04.483609Z",
     "iopub.status.busy": "2023-03-27T23:47:04.483432Z",
     "iopub.status.idle": "2023-03-27T23:47:04.867253Z",
     "shell.execute_reply": "2023-03-27T23:47:04.866650Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# construct simulation\n",
    "sim = td.Simulation(\n",
    "    center=(Lx / 2, 0, 0),\n",
    "    size=sim_size,\n",
    "    grid_spec=td.GridSpec.auto(min_steps_per_wvl=30, wavelength=lda0),\n",
    "    structures=y_junction,\n",
    "    sources=[mode_source],\n",
    "    monitors=[flux_monitor, field_monitor],\n",
    "    run_time=5e-13,\n",
    "    boundary_spec=td.BoundarySpec.all_sides(boundary=td.PML()),\n",
    "    medium=sio2,\n",
    ")\n",
    "\n",
    "sim.plot(z=0)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f7f50958",
   "metadata": {},
   "source": [
    "Before submitting the simulation to the server, it is a good practice to visualize the mode profile at the [ModeSource](../_autosummary/tidy3d.ModeSource.html) to ensure we are launching the fundamental TE mode. To do so, we will use the [ModeSolver](../_autosummary/tidy3d.plugins.ModeSolver.html) plugin, which solves for the mode profile on your local computer."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "da2af982",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-27T23:47:04.869381Z",
     "iopub.status.busy": "2023-03-27T23:47:04.869214Z",
     "iopub.status.idle": "2023-03-27T23:47:05.904447Z",
     "shell.execute_reply": "2023-03-27T23:47:05.903861Z"
    }
   },
   "outputs": [],
   "source": [
    "mode_spec = td.ModeSpec(num_modes=1, target_neff=n_si)\n",
    "mode_solver = ModeSolver(\n",
    "    simulation=sim,\n",
    "    plane=td.Box(center=mode_source.center, size=mode_source.size),\n",
    "    mode_spec=mode_spec,\n",
    "    freqs=[freq0],\n",
    ")\n",
    "mode_data = mode_solver.solve()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1c0322c9",
   "metadata": {},
   "source": [
    "Visualize the mode profile. We confirm that we are exciting the waveguide with the fundamental TE mode."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "a2e49017",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-27T23:47:05.906972Z",
     "iopub.status.busy": "2023-03-27T23:47:05.906767Z",
     "iopub.status.idle": "2023-03-27T23:47:06.522409Z",
     "shell.execute_reply": "2023-03-27T23:47:06.521796Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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x9O3bF+eff35LTUsJl1xyCUpLS/HUU09h/vz5mTYn+yF3JoKwIX0kHKTZJf6UU07Be++9Z7+WpNDQ7aabbsKbb76JVatWoaysDLNmzcJll12Gjz76yNU9CCKVpFIjH3roIYwaNQonnHBCKkxrMddccw1uu+02rFy5Etdee22mzckNaAzZYmjCTkSlrKwMV111VUr6UhQFK1aswG9+85uU9JcKBEHAz3/+czz//POYN28eGGOZNim7SaPYLliwAK+88gq+/vprFBQUYPjw4XjggQfQv39/u83IkSOxceNGx3X/7//9PyxZssTVvQgiFZA+Eg7SPGGXJAldu3aNOF9dXY1nn30WK1euxAUXXAAAWLZsGU466SRs3rwZZ511lqv7EESqSJVGfv/993jzzTez6nd9eXk5xowZg+XLl9OEPVFowt5iyCWeSIrGxkYMGDAAAwYMQGNjo33+6NGj6NatG4YPHw5N0wAAH374IQ4fPozRo0c7+pg6dSp8Ph/++c9/Os6PHTsW7dq1w4EDB1zZNGfOHMiyjB9++CHivRkzZqC8vNzhwvSTn/wE3333HbZt2+bqPnkJdxF7xN3FH23cuBEzZ87E5s2b8e6770JRFIwZMwb19fWOdtOnT8fBgwft48EHH0zlExJEyli/fj0YY1i9enXEeytXrgRjDJs2bQJA+tgmcKOPSWjkN998g+7du6Nfv36YPHky9u7dCwDYunUrFEVx/OwMGDAAvXr1sn++CCIb+fbbb2O6zYcvEL755ptQVdXxM845x/nnn49OnTrh+++/t88Hg0GcdtppOP744yPGD/GYOnUqOnbsCEVRIt4bM2aMYwMBMPTxww8/xNGjR13dJ29J4xgyX6AJOxEVTdNw+PDhiMMSwYKCAjz33HPYtWsX/vu//9u+bubMmaiursby5cshiiIA4OOPPwZjDEOGDHHc47HHHkOnTp0wdepUe3L/9NNP429/+xueeOIJdO/e3ZXNv/rVr6CqKv7yl784zgeDQbz88suYOHEifD6ffX7o0KEAQK6DiWCtjiZ6uGDt2rW4+uqrccopp2DQoEFYvnw59u7di61btzraFRYWomvXrvZRWlqayickiISJp48jR45Ez549sWLFiohrV6xYgeOPPx4VFRUASB/bBG710dTImpoaxxEIBCK6HjZsGJYvX461a9di8eLF2LNnD84991zU1taisrISHo8H5eXljmu6dOlC+QeIjBJPIzt16oT/+Z//cRxLly5FWVkZOnXqZPfz8ccfo0OHDujdu7d9jjGGpUuXwu/3OzyT5syZgy+//BLLli1DUVGRK3t/9atf4ciRI3jnnXcc5ysrK/H+++9HeAsMHToUnHN8/PHHru6Tt6RxDPnBBx9g/Pjx6N69OxhjWLNmjeP9WItCDz30UMw+4+UOyQQ0YSei8vXXX6NTp04Rx+9//3u7zbBhw3DLLbfgsccew9///ne8/PLLePHFF7FgwQL86Ec/cvTVvn37iAlWeXk5nn32WXz66ae4//77sWfPHtx8882YMGFCUq5UJ5xwAioqKvDCCy84zr/55ps4duwYfvWrXznOH3fccfB4PPjqq69c3yvv0OFCbI1LEhmMRqO6uhoA0L59e8f5FStWoGPHjjj11FNx++23o6GhIZVPSBAJE08fGWO46qqr8MYbb9g/zwDwww8/4G9/+5tD30gf2wCu9DGkkT179kRZWZl9RIv5HTduHH7xi19g4MCBGDt2LN566y1UVVXhpZdeat1nJAgXxNPIoqIiXHXVVY5jy5YtqKurcywqfv311+jTp09E/3379sXDDz+M1atXY8WKFfjkk0/w0EMP4YYbbsB5553n2t4LLrgAPXr0iNDH//3f/4Wu6xGa269fPwAgfUyUJMaQiVJfX49BgwZh0aJFUd8P98w8ePAgli5dCsYYJk6c2Gy/p5xyiuO6Dz/80J1hKYZi2Imo9OnTB3/6058izvfo0cPxeu7cuXjjjTcwdepU1NXVYcSIEfjd737naHPkyBG0a9cu6n3GjBmD//f//h/mz5+Pl19+GT6fD08//XTSdk+ZMgXXXXcddu/ejeOPPx6AMdHr2bMnRowYEdG+Xbt2OHz4cNL3yxuSiD/q2bOn4/ScOXPiljvRdR033ngjzj77bJx66qn2+V/+8pfo3bs3unfvju3bt+PWW2/Fzp078corr7h6DIJIBYno45QpU7BgwQK8/PLLmDZtGgDgL3/5C1RVdQz+SB/bAEnGsO/bt8+xUOP1euNeWl5ejh/96EfYtWsXfvKTnyAYDKKqqsqxy37o0KGoMe8E0VokOoa0eP755/HUU0/h4YcfdiTfPHLkCI477rio18yYMQOvvPIKrr/+enTs2BHHH3887rvvvqTsFQQBkydPxuOPP47a2lqUlJQAMPRx+PDh6Nu3r6O9pdmkjwmSxhj2cePGYdy4cTHfb6qFr776Ks4//3x70SUWsXKHZAqasBNRKSoqioipjIbH48HSpUtxxhlnwOfzYdmyZVETFPFmyjT88Y9/xKuvvopt27Zh5cqV6Ny5c9J2X3HFFbjxxhuxYsUK3HXXXaiursYbb7yBm266KaZdlFApPlzn4AmKKG/BYHTmzJnYsWNHxErmjBkz7H+fdtpp6NatG0aNGuWYeBBEa5GIPg4YMABnnHEGVqxYYU/YV6xYgbPOOisi2zHpY27jRh+t9gBQWlrqOrSnrq4Ou3fvxq9+9SsMHToUsixj3bp19m7Rzp07sXfvXjvkgiAyQaJjSADYtm0bfvOb32DSpEmYPXt2xPvN6eOzzz6L448/Ht988w0+/vhjFBQUJG3zlClT8MADD2D16tWYMmUKdu7cia1bt0ZNeGfZRPqYGMmMIdPBoUOH8Oabb+K5556L29bKHeLz+VBRUYEFCxagV69eabMtHuQST7QYK+bH7/fjm2++iXi/Q4cOOHbsWMzrP//8cztxyBdffNEiW9q1a4ef/vSnduzoyy+/jEAgENOFtKqqCh07dmzRPfOCJGpoWoNR64g3YZ81axbeeOMNrF+/PuYqvMWwYcMAALt27UrN8xFEGpgyZQo2btyI/fv3Y/fu3di8eXOEFpE+tgHSWIf95ptvxsaNG/Htt9/i448/xqWXXgpRFDFp0iSUlZVh2rRpmD17NtavX4+tW7fimmuuQUVFBWWIJ3KCY8eOYeLEifjRj36EP//5zxHvx9PHDRs22OF2LdXHk08+GUOHDrXd4l944QV4PB5cfvnlUe0GQPqYKEnoY7Jhlc3x3HPPoaSkBJdddlmz7ZrLHZIpaMJOtIjt27dj/vz5uOaaazBkyBD8+te/dsRsAsZO07FjxyLOA0bsyTXXXIOTTz4ZM2bMwIMPPohPP/20RTZNmTIF//rXv/Dpp59ixYoVGDJkCE455ZSIdv/5z38QDAZx0kknteh+eUEaE4ZwzjFr1iysXr0a77//foTrWTSszNXdunVL5mkIolW48sorIYoi/vd//xcrVqyALMu44oorHG1IH9sASSadS4T9+/dj0qRJ6N+/Py6//HJ06NABmzdvthNzPfroo/jpT3+KiRMn4rzzzkPXrl0pVIjICXRdx+TJk1FVVYXVq1ejsLAwos2AAQOwZ8+eqNcfPHgQ119/PcaMGYOf/vSnuPnmm/Hdd9+1yKYpU6bg/fffx8GDB7Fy5UpcfPHFUUOWLJtIHxMkCX1MJMeHW5YuXYrJkyc7EqxGIxtzh5BLPJE0iqLg6quvRvfu3fHYY49hz549OOOMM3DTTTdh6dKldruKigpwzrF161a7VqzFrbfeir1792Lz5s3o378/1q1bh6lTp+Lzzz9PyIU6GuPGjUPHjh3xwAMPYOPGjTEzQVpZyIcPH57UffKKNMYfzZw5EytXrsSrr76KkpISO7txWVkZCgoKsHv3bqxcuRIXXXQROnTogO3bt+Omm27Ceeedh4EDB7p9EoJoNTp27Ihx48bhhRdegN/vx4UXXhixI0P62AZIMoY9EV588cVm3/f5fFi0aFHMhEsEka3MmzcP77zzDt5+++2YC/UVFRX485//jH//+98RMcfTp0+Hrut49tlnIYoiTjnlFEybNg3vvvtu0q7qkyZNwu9//3vccMMN+Pe//92sPjLGKPQkUZIYQyYTVtkcf//737Fz586ISimJEJ47JFPQhJ2ISnV1dUS2TAvLffKee+7Btm3bsG7dOpSUlGDgwIG46667cMcdd+DnP/85LrroIgDAOeecgw4dOuC9995zDEjff/99PPXUU5gzZw5+/OMfAwCWLVuGkSNH4s4773TU2bayhH777bdxbZdlGVdeeSWefPJJ23UwGu+++y569eoVUU6JiEIaJ+yLFy8GYJTCCmfZsmW4+uqr4fF48N5772HhwoWor69Hz549MXHiRNxxxx2u7kMQqSIRfbSYMmUKfv7znwMA7r777oj2pI9tgDRO2AkiF4mnkV988QXuvvtunHfeefj+++8j2lo6evHFF0OSJLz33nuOXDbLli3Dm2++ieXLl9shdE888QSuuuoqLF68GL/97W/ttowxjBgxAhs2bIhrd6dOnXDhhRdi1apVKC8vx8UXXxy13bvvvouzzz4bHTp0iNsngaTGkMnk+GiOZ599FkOHDsWgQYNcXxueOyRT0ISdiMr+/ftj/mBeddVV+Oyzz3Dfffdh1qxZjoyet912G1599VVMnz4dX375JcrLy+HxeDB58mSsWrXKzuBZW1uLa6+9FkOGDHHUcT/33HNxww034OGHH8Zll11mx+HV19dHJGpqjilTpuDJJ5/EqFGjorpN67qOv/71r5g2bRolDUmENE7Ym0soAxhuURs3bnTVJ0Gkk3j6GM748ePRrl076LqOn/3sZxHtSR/bADRhJwgH8TTyyJEj4Jxj48aNUX+/WzrapUsXXHTRRXjppZfsCfv+/ftx0003Yfz48Zg6dap9zeTJk/HXv/4Vt9xyC8aNG4e+ffuirq4OgLvwuSlTpuCNN97A5ZdfHnVXt7q6Gn/729/w1FNPJdxn3pPGMWRdXZ1j53vPnj3Ytm0b2rdvbyeJq6mpwapVq/Dwww9H7WPUqFG49NJLMWvWLABG7pDx48ejd+/eOHDgAObMmdPsAndrQBN2IoJEViF//OMfQ1GUiPOiKOIf//hHxPkbbrgBixcvxrp16zBq1CiUlJTE3A165JFH8Mgjj9ivv/rqKxw+fBjLly9P9BHg8XgARA6eLV577TVUVVU5VmGJ2HDuIsOni4RKBJFrJKKP4QiCAEmSMH78+Jhxc6SPuY0bfbTaE0RbJRGNHDlyZMLfg5tvvhkjR47EN998gxNPPBE9evRAVVVV1LZN8zd88MEHYIzhD3/4Q0L3AuLr47Jly9ChQwf88pe/TLjPfCedY8gtW7Y4Ng6tSgNTp061fy+++OKL4JzHnHDv3r3bUaLPyh1y5MgRdOrUCeecc44jd0gmoAk70Sr069cP06ZNw/33349Ro0a5unb9+vWoqKiI6ZoUjT/96U8oLi6OmQnygQcewKxZsyhpWaKkcXWUINoya9aswQ8//IApU6bEbEP6mOPQDjtBpI1zzz0XY8aMwYMPPhi1tntzrF+/HldeeSVOO+20hK/505/+hH79+uGcc86JeE9RFDzyyCO44447WlRCLu9I4xgykcWfGTNmOEIqmtJ0gTxe7pBMQBN2otWwYpXdMnPmTMycOTOhtq+//jq++uorPPPMM5g1axaKioqittu0aVNStuQtNGEnCFd88skn2L59O+6++24MGTIEI0aMaLY96WMOQxN2gkgrb7/9dlLXxUoaF40XX3wR27dvx5tvvonHHnssajiQLMvYu3dvUrbkNTSGbDE0YSfaFNdffz0OHTqEiy66CPPmzcu0OW0HEluCcMXixYvxwgsvYPDgwa7c1dMJ6WOaoAk7QeQ8kyZNQnFxMaZNm0bhQKmGxpAthibseU4iWYVziVQ8j9sY1byAc+NItC1BtAFaoifLly/Pmom6BeljmnCjj1Z7gmgDtKUxZCpyS7SlzyOl0BiyxdCEnSCIuHDdOBJtSxAEkS+40UerPUEQRL5AY8iWQxN2giDiQ+5MBEEQ0SGXeIIgiNjQGLLF0IQ9Drqu48CBAygpKaF6tESbgHOO2tpadO/eHYIgJHYRiS0RBdJHoq2Rdn202hNtHtJHoq2RlD4CNIZMATRhj8OBAwfQs2fPTJtBECln37596NGjR0JtyZ2JiAbpI9FWSZc+Wu2Jtg/pI9FWcaOPAI0hUwFN2ONQUlJi/ksAQCukRFuAA9DDfrYTucTF6iglDMkbSB+Jtkea9dFqT7R5SB+JtkcS+gjQGDIF0IQ9DiE3JgYSXKIt4cpFTzePRNsSeQHpI9FWSZs+Wu2JNg/pI9FWcR3iQWPIFuMiAIEgCIIgCIIgCIIgiNaCdtgJgogL1zl4gu5MibYjCIJoC7jRR6s9QRBEvkBjyJZDE3aCIOJD7kwEQRDRIZd4giCI2NAYssXQhJ2ICYsTc8VBq2B5AzePRNsSRB4RTytzCdL1JHCjj1Z7giCIfIHGkC2GJuwEQcSF3JkIgiCiQy7xBEEQsaExZMuhCTtBEPEhdyaCIIjokEs8QRBEbGgM2WJowk4QRFy4bhyJtiUIgsgX3Oij1Z4gCCJfoDFky6EJe56QjhhLN32mOi4yUzGjeRvfSaujRJ6Scq1xW782FfDEdSuR581bHYwF7bATBEHEhsaQLYYm7ARBxIVWRwmCIKJDO+wEQRCxoTFky0lowr59+3bXHZ988smQJFoPIIg2AUfiq555tvlG+kgQeY4bfbTa5xGkkQSR59AYssUkpIaDBw8GYww8Qbc6QRDwr3/9C/369WuRcYR7WuS+mQpXzRg/I03tcutSmfBzJfsMCf5sN2dHW3YT5Txxr1oX3rdtAtLHtkHS2tki3RRacG0imCMkNzYm8HOcrzoYCzf6aLXPJ0gj2ybpDE3MpI4k+1z5qH2Jks4x5AcffICHHnoIW7duxcGDB7F69WpMmDDBfv/qq6/Gc88957hm7NixWLt2bbP9Llq0CA899BAqKysxaNAgPPHEEzjzzDPdGZdCEl6+/OSTT9CpU6e47TjnOPXUU1tkFEEQ2QW5MzUP6SNB5C/kEh8f0kiCyF/SOYasr6/HoEGDcO211+Kyyy6L2ubCCy/EsmXL7Nder7fZPv/yl79g9uzZWLJkCYYNG4aFCxdi7Nix2LlzJzp37uzOwBSR0IR9xIgROOGEE1BeXp5Qp+eddx4KCgpaYhdBENkEJQyJCekjQeQ5lHSuWUgjCSLPSeMYcty4cRg3blyzbbxeL7p27Zpwn4888gimT5+Oa665BgCwZMkSvPnmm1i6dCluu+02dwamiIQm7OvXr3fV6VtvvZWUMYQ7XLntuHbbTNJVkzXzTQvzc7Fsj+dCFPMZm32eRG0PszWRzyeOn040W9uKixTtsMeG9DG3cO3umLB2JqY7rVvhQgTgRof0+M+bxzoYC9phbx7SyNwmE1V50q0jmaic1NZ1sDmSGUPW1NQ4znu93rg747HYsGEDOnfujHbt2uGCCy7APffcgw4dOkRtGwwGsXXrVtx+++32OUEQMHr0aGzatCmp+6eCdAfQEQTRBrDijxI9CIIg8gW3+kgaSRBEPpGMPvbs2RNlZWX2sWDBgqTufeGFF+L555/HunXr8MADD2Djxo0YN24cNE2L2v7w4cPQNA1dunRxnO/SpQsqKyuTsiEVuE7ByTnHyy+/jPXr1+P777+HrjuXTF555ZWUGUcQRJagM+NItG2eQvpIEHmIG3202ucppJEEkYckMYbct28fSktL7dPJ7q5feeWV9r9PO+00DBw4EMcffzw2bNiAUaNGJdVnJnA9Yb/xxhvx9NNP4/zzz0eXLl3AUpFZnEiI1GVKj+5YkRoXoVgumE1cLc0lNAYW1U0owpaIZ4p8Bvf2iyFz4roqNeMq2sx2SUuz42cL5BKfGKSP2Um6tTPuPVg8Z7ZUOrtFfgEjLIvxJeUx7YgTPuTSTT5XdTAW5BKfOKSR2U9SY8FU/z9G0ZREQyljkdBzuX0OF+4ybV0HmyOZMWRpaaljwp4q+vXrh44dO2LXrl1RJ+wdO3aEKIo4dOiQ4/yhQ4dcxcGnGtcT9v/5n//BK6+8gosuuigd9hAEkYVwzsB5Yr/IEm3XFiF9JIj8w40+Wu3zFdJIgsg/smkMuX//fhw5cgTdunWL+r7H48HQoUOxbt06uzycrutYt24dZs2alVbbmsP1sn5ZWRnVxiSIPMNaHU30yFdIHwki/3Crjy3RyPvvvx+MMdx44432Ob/fj5kzZ6JDhw4oLi7GxIkTI3aHsgXSSILIP9Kpj3V1ddi2bRu2bdsGANizZw+2bduGvXv3oq6uDv/1X/+FzZs349tvv8W6detwySWX4IQTTsDYsWPtPkaNGoUnn3zSfj179mz86U9/wnPPPYd//vOfuO6661BfX29njc8Erifsc+fOxbx589DY2JgOe+KyaNEi9OnTBz6fD8OGDcM//vGPmG2XL18Oxpjj8Pl8rWhty2Fhf2I3Ys7DgRBxsKZ/mAjGRMNt0z6kFhyC3SdjonkX0WlHVFubeTaH/aLDbqf97uy0jkh7WZPPPvJzTOzzj/7/mWtw7kJsXXp5LViwAGeccQZKSkrQuXNnTJgwATt37nS0yZUBKeljdhD5/Y3VsIXamah+QgBjUpTDax5yxCEI3maPaNcYhzfscN4vpL9xdNCN/kX7HNuoDsbClT4moZEWn376KZ5++mkMHDjQcf6mm27C66+/jlWrVmHjxo04cOBAzHrEmSbTGklEJym9jPp9j6YVbo8Y93Jja5RnS+hZEn6GBD6TBHWwLWlhLNI5htyyZQuGDBmCIUOGADAm20OGDMFdd90FURSxfft2/OxnP8OPfvQjTJs2DUOHDsXf//53R0z87t27cfjwYfv1FVdcgT/+8Y+46667MHjwYGzbtg1r166NSETXmrh2ib/88svxv//7v+jcuTP69OkDWZYd73/22WcpM64pyRSyLy0tdQz+KV6KINyTTnemjRs3YubMmTjjjDOgqir+8Ic/YMyYMfjqq69QVFQEwBiQvvnmm1i1ahXKysowa9YsXHbZZfjoo49cP0s6IX0kiPyjNVzi6+rqMHnyZPzpT3/CPffcY5+vrq7Gs88+i5UrV+KCCy4AACxbtgwnnXQSNm/ejLPOOsv1vdJJJjUSMBY1H3roIVRWVmLQoEF44okncOaZZ0Ztu3z58ogdNa/XC7/fn1YbCaKtkc4x5MiRI8GbmeW/8847cfv49ttvI87NmjUroy7wTXE9YZ86dSq2bt2Kq666qtUThiRTyJ4xltEkAQTRJtAZeJqyxK9du9bxevny5ejcuTO2bt2K8847L6cGpKSPBJGHuNFHs71bZs6ciYsvvhijR492TNi3bt0KRVEwevRo+9yAAQPQq1cvbNq0Kav0EcisRtKiJkFkiDSOIfMF1xP2N998E++88w7OOeecdNgTk2QL2dfV1aF3797QdR0//vGPcd999+GUU06J2T4QCCAQCNiva2pqUvMABJHDuKkd3NIaw9XV1QCA9u3bA8itASnpI0HkH25rq1ttm35/vF5v1NJFL774Ij777DN8+umnEe9VVlbC4/GgvLzccT7TNYNjkSmNBGhRkyAyRWuOIdsqrifsPXv2TEua/Xg0V8j+66+/jnpN//79sXTpUgwcOBDV1dX44x//iOHDh+PLL79Ejx49ol6zYMECzJs3L+X2uyVuHFFMnLGFkXE7QvR2jrJDYjPvNQ93ZIvQjHNmSSCG8GwSolHSgulg5pfTKnHB4IwlcjwDC8UPxbI5nr1OG522httrYNmOiEwYkSWQdMuApjeMuFv4M+VCaY9k3JkSHYyGo+s6brzxRpx99tk49dRTAeTWgJT0MXMkX7IngTKXEZrSnH4Clh41Pc/iXhfbnigGNiFS18K1jkNvUlnTek+LvMa2K0z/AIcGxi0BF6WMZ1NyTQdjkaxLfM+ePR3n58yZg7lz5zrO7du3DzfccAPefffdNpFjIlMa2VqLmrlGqsaazfYVbwwZMSYTo+sBM9uF6Ums0sAR9qS8NHCsEsbhRCkH3Ma1MBbZlCU+V3GddO7hhx/GLbfcEtXfP9uoqKjAlClTMHjwYIwYMQKvvPIKOnXqhKeffjrmNbfffjuqq6vtY9++fa1oMUFkJ9x0Z0r0AIyBWVlZmX0sWLAg7n1mzpyJHTt24MUXX0z3I6UF0keCyD/c6qOlkfv27XN8n8InkxZbt27F999/jx//+MeQJAmSJGHjxo14/PHHIUkSunTpgmAwiKqqKsd1ma4ZHItMaWRzi5qxFn6tRc1XX30VL7zwAnRdx/Dhw7F///6o7QOBAGpqahwHQRDJjSEJJ6532K+66io0NDTg+OOPR2FhYUTCkKNHj6bMuHBSUchelmUMGTIEu3btitkmkV1Agsg3knFn2rdvn2MnJd73atasWXjjjTfwwQcfOHZ4u3btag9Iw3fZ3Xz3//73v+Ppp5/G7t278fLLL+O4447D//zP/6Bv374pdc0kfSSI/CNZl/jS0tK4u82jRo3CF1984Th3zTXXYMCAAbj11lvRs2dPyLKMdevWYeLEiQCAnTt3Yu/evaioqEjIntbSRyBzGpkMFRUVjs9w+PDhOOmkk/D000/j7rvvjmifzR5IBJFJ8tElPtW66nrCvnDhQtc3SQWpKGSvaRq++OILXHTRRWm0NHniuuMk4M4ZzwU+5ILpdCEPd9VkUdzmE3WLD7lZ6o5zHLrpamm6yXMVjOumW6XTJTNUxs1yjxfMkkSG3eH2NrW1OTtt2+yPKNJG6/ZN3UVDbqKha1gyLvI56h6fjDtTIoNRoz3H9ddfj9WrV2PDhg3o27ev4/2hQ4e2aED617/+Fb/61a8wefJkfP7553YMdnV1Ne677z689dZbCT1XIpA+tj6pcoVPJHwoln4a1yemoeEaFaljTa+PT9MQn6Zu8OHnHG1Z5DnLbT6q/gEOV/mmbvIh7Qq33X2YULZqYHOkM0t8SUmJHR5kUVRUhA4dOtjnp02bhtmzZ6N9+/YoLS3F9ddfj4qKioTye7SmPgKZ08jWWNS8/fbbMXv2bPt1TU1NRNhDNtAaY81QVwloGYvUMWZpR7QwHBbWNgEXc2e5tibvxwl3ah7d+SkkMiZsgyGTiZBvLvHp0NWkssRnitmzZ2Pq1Kk4/fTTceaZZ2LhwoWOQvZTpkzBcccdZ7vezp8/H2eddRZOOOEEVFVV4aGHHsJ3332HX//61xl7BoLIRXSdQU/QTSnRdhYzZ87EypUr8eqrr6KkpMR2TywrK0NBQQHKyspaNCC95557sGTJEkyZMsXhan/22Wc7si2nAtJHgsg/3Oij1T6VPProoxAEARMnTkQgEMDYsWPx1FNPJXRta+ojkDmNbI1FTfJAIojopHMMmY2kQ1ddT9j37t3b7Pu9evVKypBEuOKKK/DDDz/grrvuQmVlJQYPHuwoZL93714IQmhF69ixY5g+fToqKyvRrl07DB06FB9//DFOPvnktNlIEG2RdLozLV68GIBRSzOcZcuW4eqrrwbQsgHpzp07cd5550WcLysri4j7bCmkjwSRfyTrEp8sGzZscLz2+XxYtGgRFi1a5Lqv1tRHILMaSYuaBJEZ8s0lPh266nrC3qdPn2brUGqaFvO9VNBcIfumv8QeffRRPProo2m1J1W4c1FqxjUppitmKGtxNHdyxgSHa2fT10b76JnYHS6VPJQZ3jqvc9VwOec6OFeNcxDBoYBxFdx6Ns7NZxHC7iWAMRmC6RLPmGTbJpj/Dn0OgsPGpoTbFm63w2XfOs+s18Z9uf06vot8pGtouBsqa1aNmst4mknS6c7EE1DnlgxIu3btil27dqFPnz6O8x9++CH69evnur/mIH1sHZJzg09X+JDg1KEoGus8JzraC1GuN+yLrWUWPLy6RZh+6U3DfbjmqH5h6bHRhx5xLtxdPjy7fEgDhSZu8rFc5KO4xxsPaXUY8Uy56A6aTpf4dNOa+ghkViNpUTP5sWZi40ygaYWMppUxYsGZU58MnLplVRri4WMrxsC4UytC7u5Rqg1F1fnEqwxFs9E+Bx2JhU3m/pjQLfnmEp8OXXU9Yf/8888drxVFweeff45HHnkE9957b1JGEASR3eSy2E6fPh033HADli5dCsYYDhw4gE2bNuHmm2/GnXfemdJ7kT4SRP6RyxP21tRHIPMamS+LmgSRTeTyGDIZ0qGrrifsgwYNijh3+umno3v37njooYdw2WWXJWUIQRDZi84Z9ARFNNF2rcVtt90GXdcxatQoNDQ04LzzzoPX68XNN9+M66+/PqX3In0kiPzDjT5a7bOF1tRHgDSSIPKRXB5DJkM6dNX1hD0W/fv3x6effpqq7vKClmbqjJ7lUmji0hOZVd12KzfPCYIEBgGCIJs9COY5pxs9YyKEZrKxW66YlvulzhUAgK6r0LgKnSvQdcMlXtOD0LkAzgVAD1o92M9lZYUXmBeMSRAFj22rwGSITLL/bVzjtK8pll3GXQzXT8s+y25dV+z3dV1t4iZvvo5wadIiss+Hu0E53UJzN2u8m9qY2VZDkzGG//7v/8Z//dd/YdeuXairq8PJJ5+M4uLiVrOB9DF1NKubMV1tw6pO2G1TGz7U1OU93NXdeF90aKnRm2C/J4Rfb2lzM+6kltt7yKVdM3QuTJPC9dhwbw+F9IT0OnS93S7MXb6pq3yooka4S6jgQgeBCC1sJtNztmhgc7itHZxNGpkN+giQRqYbd7oZJXwo6jgzMlwomlZGr6Bh0FRrQudMrWFh+mO6yDMztNIYjzndzp3P5Kw2ZIVYhtvrtMmp2U1xhn+GbLTsd2pidBf5qFqYwJgwF3SwOXJ5DJkM6dBV1xP2mpoax2vOOQ4ePIi5c+fixBNPTNoQgiCyl7aQMMTj8aQ99pD0kSDyj9ZOOpcOWkMfAdJIgshH2sIYMhlSqauuJ+zl5eURCUM45+jZs6cjdT1BEG0HHS7cmRJJCNaKnH/++c0mOXr//fdTdi/SR4LIP9zoo9U+W2hNfQRIIwkiH8nlMWQypENXXU/Y169f73gtCAI6deqEE044AZKUMg/7No97d/jmsnVGZjW2/m1kVxccr60M65YLvMhMN3PBa78WIUNiXvPOMkQmQ+JymKtmyG3TzuLJAA0KdKZDgwKV+wEAGlSo3A9Fb4SmBwAAitYIVfdD0/zQrOygXDWem0kQzHtLYiEksQCS6RIvCQWQBC8k5oMICRLzmbcWHPZZNuqmC5XOdOimm5LGFehQoPKAaZ8Cjau2bTpXoAkqdF2xn03XVTvbvXFD3Xwd/l9luoVar7nexJUpdzOE5nLCkMGDBzteK4qCbdu2YceOHSmvCUz6mD7cu8KnPnwoVJ0i5DYv2m2crvQik+3+RchgTIQICQJkCOb1ImQIXDDeN+8hQYLAhSZa5nTPNFzfTW0y9VNlRtiOBgW6YJwztE0BhwYNqh0WpEEB57r5XnhGeM3QOlv3FDtECHC6yHOE3FI512PrIGJV0HCXNT4bdDAWuZx0rjX1ESCNzH5ihQ8JEWNM5nAhD40tAdg6KYZV8wnXSQsrhMfQI1NTuAadq2EVhszqQlwFoNtKwKAbksF0p3aw6NWGwu2DHfpp/G30JzhCmpoSHkKkc8UMrbRsNuzkTbPYNwmbjB4qlPiYMFfJ5TFkMqRDV12r44gRI5K6EUEQuQt3kTAk28Q2VpbfuXPnoq6uLqX3In0kiPzDjT5a7bOF1tRHgDSSIPKRXB5DJkM6dDWhgoOvvfYaFEVJuNO33noLjY2NSRlEEET2Ya2OJnrkAldddRWWLl3a4n5IHwkiv3Grj7mgkanSR4A0kiDynbamj8nSEl1NaIf90ksvRWVlJTp16pRQp1deeSW2bduWdHH4vCYRV/iYbp3hbkqmi4/t/m65KYUyrIuW27npYi6jAADgRSEkeOHlhru5l3vhhQyZiRBNGyQmRJjKOaByHRrnCHAViukyGWAB+FkD/FIdAtxYWfIL1VC0eviBkEsRCwAQIAoFkCUjk6JXKoEsFsMnlBqvWTF8vBhe7rPtAgCRCZAhQGAMQpgrlw4OnXMoXIdiuoMqUBFgAQSY4bKvIoAAa4AqmO76vAGqHoAuhNzkNebMcq9zFQIEcKi2+5PlFspD/lrGXy10gcoGt3hnrtP4bXOBTZs2wefztbgf0sf0k6w7fKzwIeMyI8uxM+N7yH2zufAhy61SZLLxOsz9UoRRYcNyiwcAicuQ4IUECTL3QNbN8xAgQzL0y3KfZwwCY+bfsR9b54DGOTRTO1RuBABpXLe1V4UOhSlQWBAqVGjMmDRpTHW4ywOwXeY1UbFdU3WuQNMD0ATzdZiLvM5DutesDhofrh0iBMTQQeM/JSczxrvRR6t9tpMqfQRIIzNNcpU14Kik0bSChhVuaY0tRcEDgcl2+KIoeCEx47Cq+YhmeKWFblam0KBA56EwRZUHjNd6EJoesMddjKvQ9aD9/eFcMdziYz6z5Yovm3rurDgkCl4jBNQMB7XGx1YIU3hYEocRQmTZaGmjalY5ssaHhhu/qZdwhk0a7vsAzDGhG03LZv1LhLY4hkyGluhqQhN2zjmuvvpqeL3ehDr1+/1JGUMQRHaSy/FHTev6WlmJt2zZgjvvvLPF/ZM+EkR+k8sx7OnWR6tP0kiCyF/SOYb84IMP8NBDD2Hr1q04ePAgVq9ejQkTJgAwYsfvuOMOvPXWW/j3v/+NsrIyjB49Gvfffz+6d+8es8+5c+di3rx5jnP9+/fH119/nZBN6dDVhCbsbgPkJ0+ejNLS0qQMIggi+9A5Es/wmWWLwGVlZY7XgiCgf//+mD9/PsaMGdPi/kkfCSK/caOPVvtsId36CJBGEkS+k84xZH19PQYNGoRrr702YqLc0NCAzz77DHfeeScGDRqEY8eO4YYbbsDPfvYzbNmypdl+TznlFLz33nv2azdJMdOhqwndfdmyZUl1TkTizjUpSoqBqO7wzuzETd06BUGyXZIkwWO7KslCIQBARgG8KIQPRQAAn16AIvjgM12dCiURBZKAAkmAx7y9LABiE3M1Dig6ENSBoMbh1wzHlkZVR4NehjrdjzqhFgBQKxaggR2BDh265VKkG26lguCBVyoBABRIHVAkdEAxLwcAlGolKGQeFIgSCkURHtMIj8jgEQCJOT9Gw00fCGgcfs1QAb/G0ahqaNAN99B6+OEXGuFHPQAgwLxQxEYoekPIXVYPQONhn71uuDsBkpHdHgBMb05nwmM99H/Gwx19mmSMbyZLcjaQyzvs6dYv0sf0EreihgN31TSEMK203DvDsxwLguxwmbRcPMMraMjMB5FLEMKyHzMYWYZl3XC/lLkMDyR4mAwvE+ERjXt6BcHULgbZ9H+XTB0Tm2hsuEukzgEOQNMNzQUAhQOqzqHoHEFT6wK6jqCuI8A1BLmCoOkqrzDDtV1lqt2/ZrrMKyxgV/hQeQAqC4TcQAXDTZVBADP1UOcqdN3I2AwYrqM6t7zbLc0TYriCRqmc0QzZ6haayzvsraFfpJEEkd+kcww5btw4jBs3Lup7ZWVlePfddx3nnnzySZx55pnYu3cvevXqFbNfSZLQtWtXV7ZYpEPzqIYGQRBxMVZHE29LEASRL7jRR6s9QbQWHNzVwmestuH5PqwFTjEsZl0WCiALRi4kj1AMLytGIS9FATfO+bgPMgstbHLOEYCCAAsiwPzwC+amCa9FkDdCYQ1QmQSVGZs6Vk4ha33PyNohAJyDORbyBIAZpdwAa/HVA9HcsAKMzStJKIAsFMLDDPtkVmjnSJJ1GZK5CKuDQ2MqGlmjw8aAUAdFN5IjqlojVATMzRzbCjuO3WF4BFHyebQxsmkMWV1dDcYYysvLm233zTffoHv37vD5fKioqMCCBQuaneCnG5qwEwQRl1zbYW/Xrh1Yc8l0wjh69GiarSEIoi2TazvspI8EQbQmyYwha2pqHOe9Xm/CeTBi4ff7ceutt2LSpEnNht0MGzYMy5cvR//+/XHw4EHMmzcP5557Lnbs2IGSkpKo16RbV2nCniM4VzzDXTubZjkWwjJ4wnaHl5qsgkrMBy8zMrH7eDF8vBDF3HCJLxY8KJIklMpGv6UehlIZKJOBYslYBSwQOUQWcs8EAIUzBHUGv8bQoDHUq4YNdQpHrSKhRvGgSjEzz8OHo6IIjStQzBVL1czqKYk++KRyAECJ0Bnttc5oxwzbyr0ySmQBxTJDicxQIBo3LxQ5fCKHR+CQrOzs4NA4Q0BnqNcE1CjGG1VBoCYooE4xVk99qoQ63QOZmZ8Rk+FnIpgQcvs0HhTgTA/9F9hu8ZbLO2y3eOP/J8wtPuz/MRmXzky7gupg0BNcoU+0XTpZuHBhpk0g0o3rihqIDCEKc5W33OEt7ZQELwRBgiQU2i7wHlYAmRXCy41wIh8vhFf3Qg77VapAhcZUiFyyzxcwCT5BQoEkoFASUGD6uhdIgE9k8IkcPnPjySNwyAyQhZDGNnUc55xB5YDKme0SHzC1168JCJii3KCKaFQ5GlUdfk2G38y2HOAaNGgABzzmLlT4blcjawAA+IU6KLwBQW7uIvEAGERoEKA2ifCxMzkz43eRMzzICv0JhQc5NS1shynLw4Oi4UYfrfaZhPSRaI54O/KWdho1eazqFpI5vjS0sYCVoURvh3YoRXvZ0M92XhEloSTx8KtArcJRp2io1oKo041xXp1QgEahBv4mYaGca+BMBzdDeRhkU1u0KFaGKigxU9dFwWuPhWWxGF7TC6CAGxO3Yq0EpawQJaKMYlmEzxxMCgBqFR3VQRVHNGO8Wi14jcoglqRx3Qjx5CrcD9Xi765nYyiQG5IZQ/bs2dNxfs6cOZg7d27SNiiKgssvvxyccyxevLjZtuEu9gMHDsSwYcPQu3dvvPTSS5g2bVrUa9KtqzRhJwgiLpwnPn7OhnG22yRHBEEQyeJGH632mYT0kSCI1iSZMeS+ffscu+At2V23Juvfffcd3n//fddJLcvLy/GjH/0Iu3btitkm3bpKE/ZWJLUJ56J1YewWhXaOYNYCDiWdE5gMETJkFMBjxxUVoogXoNhceSyRJJR5RbTzGDZ18HJ08WroVhBEl0Jj56VAViCYuz+KZmwNBVQJDaqERlVCrSKh2tzBrlIEVCkMRwIiPH4zWVMA0HQVQbEBfrHauN6MOfKIRShg7QAA7fSO6CSUoKPPsL+Dj6GdByiXOcplFSWyZtqsolBSUSCr8IjGOVHQbbu+byjEwUbj+b6XJPwgCnaSJ8YAQWFhcVE6dGhGfJS5o26s6uoQWWgllDPd3EkS7H44b2allAlNEs8BbmuyZwqdMxcZPjO/wx4Lv9+PYDDoOEfZiLMTd8nm4iFE9Uhy7MLAWXNdECSIZoI5K8bRy0pQyEtQaO4EFTMfiiQJJbII0dTw3Q010Iye4TV364vMHZsSmaHUw1AiGd/xIomjSNJRLOkoMHWrQNThETR4RB2SqTeMAQK4vfOg6czwHtJEBHXDfr8mokETUKcKqNeMc7UKUKcy1CoiaoIMVo45XQN0ziFBQL8i49kCGlCnaKjVlFCdeEFCQ1jMKQBwpoELGoSQYJq116067OZnG8fbKFmctdyzAzf6aLXPRkgf85BwV5iEL9EjLmHMSLQpmtMKmXtRxAvQTvagV7GhISeV6hjUrgY1QWMstrfBi/80iqhslODxM0hBZvfPoUNjCjRBMXatAQiCav47zli4ye8O2yOACY4EojIKUMBLUaobGb3bCYXo4JXRuUBAtwKgZ4GRmLidR8WO6gL8s1qGWm/qJQ/AL9SBcac+RieaB0B2aVi6SWYMWVpamhL9sSbr33zzDdavX48OHTq47qOurg67d+/Gr371K9fXpkpXk5qwr1u3DuvWrcP3338PXXf+Al66dGkyXRIxiBy0RgoVC3cFtTPFW5NI0TGBtybvIpMhc0O4ZC7Dw2T4BEN4imQBJTJQ7jHEpJNXQ/eCAPq1q0b3gYY7kJUQmSscujGHh9rAEKgX0djgQXWDD9UBo/+jAQ8KAhLkMPdTVfegMViCGqHYdlGyBs+SUIBCGAJagiK080ro6DM+h84+w56OHhXtvQGU+YwkJCUFARQWB+Ep0iAWmCYWMjCZAQJQ8lkA7Eg5AEDjDAoXbVfSoC5A1TkC3Pg6KNwLhQWhMRU6NwRbNcMMdKbYnzljhst8aKCq2wNV47Ul0k6H1ky7tycDd+HOxLPAJT6c+vp63HrrrXjppZdw5MiRiPc1Lfov02QhfWwFUrbA6fybMRGC5SJv6qTIZEjMCOXx8AJ4uReFpot8iSijnVdEt0IBg8qNX8g37f4nitAOZWgPEcZ1PlFAiczQzstQ7uEol42fizJZQ5msolhWUCQb2lIgK/B6VMiyBlEKTdiZwMF147l1nUFTBSiKiEDQ0K36oIx6RUatIqPGDEcqFAV4FQEiY+BcQNB0ldc1jmqhGsdwADccNwgA8NkxLw40iIDfeB8ANK5CNbPHA0YmeZ3J4NAhmBnnufU7BmE6yIQ2u3gZDTf6aLXPFlpbHwHSSILIN9I5hqyrq3PsfO/Zswfbtm1D+/bt0a1bN/z85z/HZ599hjfeeAOapqGyshIA0L59e3g8xvxj1KhRuPTSSzFr1iwAwM0334zx48ejd+/eOHDgAObMmQNRFDFp0qSEbEqHrjY/oonCvHnzMGbMGKxbtw6HDx/GsWPHHAdBEEQ2ccstt+D999/H4sWL4fV68ec//xnz5s1D9+7d8fzzz6f0XqSPBEHkEq2pjwBpZKbg5p/4RFtoMz0NuW4vxFm74Hb/Vgy3/UeDbt7PKzB4BYaTy+owaN3PcPZPDuLsnxzEoHbVOK5AQ7mHoVAS4BFEeAQRXu6BCMlYMIUcys2E8MXVGCU8rXNNYuyt661zAgRjMRYSvJDhhbFpVSwL6OgF+hcHMOa07zDmtO9w/mun4/jiACSB2Z+jsaGjgSPsCPt8rM/ENVEWKXNtg6e12bJlC4YMGYIhQ4YAAGbPno0hQ4bgrrvuwn/+8x+89tpr2L9/PwYPHoxu3brZx8cff2z3sXv3bhw+fNh+vX//fkyaNAn9+/fH5Zdfjg4dOmDz5s3o1KlTQjalQ1dd77AvWbIEy5cvT8otgEgN4XWEmWMXKVzAnMJmucSLMARQ4jIkc0fZAwleJsJn1QYWGYokhhJzd6edrKFzYSPad66H1K/EMsIscq6DNxi7L1K9Ck+tCm+VcfhqjR0Yw43cB43L8Jvum/WKgEJFho8X2y5KVrI8SfDCZyZ1KhZkFMsCSs1EJe09Ojp6VHQpaET7wkaUlBr1ggvKVcjtGIQSCazIaMx8EpgsAgJDuwPH0NlvrKTVqxIaNAENZkKRRpXBLwjwmq6fAS5B5h4oMBIsWZ+bxtTQ582dng2hzz9coMX4bvI5Qq7FsIfz+uuv4/nnn8fIkSNxzTXX4Nxzz8UJJ5yA3r17Y8WKFZg8eXLK7kX6mFkScaOP5pFk/5sZpYqsdgKTjeGc6Y3k4R54uQcFZpsCydg5L5VDCeIatCMoEtvBx30olo12pR4B7bwMHbwcHT0a2nsMzSz3BFHmC6CkIICCQuOcp1iF5AOEQhgeQgCYlUnT3CHnKgdXOLRGQK033gs0SGho8KC20Yti07upQJQhMxkMAnTOoJj6G9Rk1GkFEATZdqkvlIAiiaFBEhDUDbuDugcKFKgw+tOgQGMKGFfsz0nXddvbyPocLW8jHscFPhvd25Mh12LYw2lNfQRIIwkiH0nnGHLkyJHgzVzU3HsW3377reP1iy++6M6IJqRDV11P2IPBIIYPH+76RkTr0HTl0VhRFMNWJkVj1ZLLkGFMbGVI8AgCPGbmYp9oZIG3JuzlniDKixrh6wqw7kZsOUTRcGlUdbBGwy1dqAtAr/ZDKAhCkINggpVF3hgoNmgCalXjHkUyQ6EowaN57MUEy2IRMrzmALlAElAkAWWy0Ve5bLjCty9sRFm7RhR0NNxKpA4ixHZesDIfUGS4ocInG3YKDN6u1Sj7wZjclzUWoEqRUCiZWeIlwGdmVwYAmYuQIBqLG6ZtKkQIXLAn8IIZwdnUFbStkssx7EePHkW/fv0AGHFDVjmNc845B9ddd11K70X6mG1Er6gR/p6FtevC7Czyou0SL3JLK43wIY9gXOsTGQokBp+o2xN2a7IqMxEFktGuSAZKZY5yWUMHj4KOPkOLygv8KC31o6BMgWxEAUEsE8GKZLBC2VhwBABJAAQWKsmh6uABFVKDArnWnOhXK/DVqPBVK/DUmnk8TFd+HTJUXUCjZnw36xQBXs0Dkcl2/WKfwOEVBfhEhkbz+Tzm7wnR/F3BzF0plYl27KahhdEXLx1x7Q4P97allbkcw96a+giQRmaaqBngo8Sxc3CwsOoO4XHrHAKY+R224ss1rkLkih1GqAgBNDI/alUv9tcbWrFmfyle7PcBPqkqBwAcFHahTvsBQa0eiloPTQ+a5lix6ho4V+3wmdDCnh6yG5ELfpwrYJoKHWa8JmMIKlauklAFEcYkAGJYVSUPxHoPpKMF8IhFKPzGiHVu9+rbOEU+DnVKEFXcrKDB6qEiANWsDa/rRgglR+Que+i1HiUUqG1pYSxyeQyZDOnQVdcT9l//+tdYuXIl7rzzzqRuSKQe5yDUOucsXeQo/WYmBhHNHXaZCZAFAWYVN7vMUKE5YS+RFRQWByF29ACd2xuNRHMgqahAwBAs1DdCKGwA89TDIzQCuhn3qPoRUCXUKjKKzUlygWgsEHhUL0Rm/RgaA2qJeSGbtvlEAYUSQ5FkxXyqKPMFUFwSQEF7DXInc9DYpQisvBAoKwLMJErweW07xU4HUVhiDJKLq4MokjwosDwKBAGSADsJnaQxiFyCwATHQNXxOZrxrjB/WYX/X7iP3cx+OFjCcUXZFJ8JAP369cOePXvQq1cvDBgwAC+99BLOPPNMvP766ygvL0/pvUgfcwvndzqkmYCR7yNcLwEYpdpYaHHTIzJ4BA6vwCGbE3Zm6obhtWQuUJoeS2WyhnJvEOUF5uJhWSMKO6qQ2wsQOpgJOct8QJEXKPYBsrmYKYlNJuwaWCAIVu8HqzH6Ekr8EI6Yi6V2Hg0GjQsI6gLqVYYiyfKiMhYUJC7Day6sygLgFQ0dbKqFlkaLTIbKA8YkPWrJPKukW+5pXEtwo49W+2yhNfURII3MDXQ4FjS5bubmCW1OcOjQdRXMXNzTdQUaCyDIjBKQApdRz2RIXITqNzTmWFBCUNcQZMaYkUGEwGRjqVSQ7Mk/TN018gA19VxMHgYWltskhnt9mOu8hQYV/w4ehQIFjWYZ4kZUI6jXQePGs2hctSfn3HwOw8MoMlY5qkdRjF3gXPc+ssjlMWQypENXXU/Y/X4/nnnmGbz33nsYOHAgZFl2vP/II48kZQhBENmLzkNzhUTaZhPXXHMN/u///g8jRozAbbfdhvHjx+PJJ5+Eoigp1yvSR4LIP9zoo9U+W2hNfQRII7OBmLvsgGOn3Zos2qErPJQEk0MAuArdCoXhAlQ9CMaMHeggBEAAdEFHwJzUyroHAhgamTHp1aDYyXmbLvI5dqVThNNrAIC5uGiF7lghjDrMBQnTWyAgNCDAGqBxBQqMBQlFb0BQr4OiGQummh6ApgfBuWr3x7liPoflEaA3mYA7PQWa2tqWyOUxZDKkQ1ddT9i3b9+OwYMHAwB27NjheI+5LA1BuCBOxmMgMuuxfT5spdAqvGGtIQKAyASIDJDMXRWPwOETOAqtMkOyCk+RBqFdCXh70yXe3CmHqoE1GgIGr7GjzQAIqg45YAiZr0FBYUMQRZIXBaK1c87gEQRIEG0X1JC9ImRzt8sjMtMWQ9gKJRWFXgW+YhVSOwFCB2M3nZUXAh1KgbISoMiIf+der20nK/PBU2r8IinyKPAJur2z5BU5ZAa7LJPIBEhcgMSlUMZo01W2adx6rNhNAIgXv+mWTMZ75rI700033WT/e/To0fj666+xdetWnHDCCRg4cGBK70X6mBpSW9KtSd/NaKkzkZGhk+H5PiQIkJhga4UsmAcDvKJVBUKABHMn3tRUS8NKJBUlniCKi4wBbEG5sbsudvKBdTBKxaFdEVBcBBT6AK9ZQcOa1FgDO1UFGv1AfSNYgaFrzGPuwiOAAs1wLVUUAX5VRJ0ioUgS4RMtzQNkM/xINstfSowbhxBdCwFAMLPoMyYA9vg+SW+jNkQuu8S3pj4CpJEEkY/k8hgyGdKhq64n7OvXr0/qRkR6iJhAwjlpD7kpivbfAhcgcAGiHY/NIDJmu8SLDJAFDo85kPNIKqQiAMVeoKQYAMDNiTfTVHCP6TYuSYCuA4oKoSEIXmsMGuVCDT6vAp+kOdwvZQEQw+LrLXtFJkMyv7AyAzwi4DMHwwWSCp9XgVTMIZTIYCWGGynKioCyEvDSEqDIGPgaE3bDJlZSYJd783pUeEUdHssWZtpiPz+zXWHtz7PpogJzDlpbRvaXM8pld6Z9+/ahZ8+e9uvevXujd+/eabkX6WPu0LQEZvg5+7W5SGedE2HUWw9NaEN6aU18ARj6KoQ01dIwn6gZZdsKjcmtVAYIZTJYuwJjog4A5aVASRF4UZGxCAoApsbCKoEVVICCAJg3FPYDGAulUDTIjcbOkK9ORUGjCp9oaK/HtEcSGCTzWWVbkzkkBkgsuhZaz8XMRdZoi5cAjIScrTBZz6bymLnsEt+a+giQRmYLTXfPQ29Y8exhcdgQjJ1pFmoCKACToevBsEudsdsaV6AKAQRYLQBAEnyQuReNqAYA26Vc1QOOWG/LNT66hiSrK03c/BGqJ89tV3/DY8By7w+gDoARLqVxBSoP2Lvumh6AojWGYvjN3XWdq+BmG3t3PVYMvtEowtJs0bVUkstjyGRIh64mVYfdYv/+/QCAHj16tMiIfCDmjlEi9YRTgGNSbJe1YLYJAgvdWWKAyEJZj2VZg+BjgFcGLyg0G0kAY+CaZscwcV0H8weAAj9Q6AErMHdlvBokSYcs6GGDQ+OeEoSI2FEjsZE5QBYAmYXiQ2VRhyTrEHxGFngUmAPaAp95FIAXWDHsPmMwq+uATwbzmoNs0bDFSrzMmHmYn0d44Y/wz0wIs7UN6mmz5LI7U58+fXDOOefgqquuws9//nO0a9euVe5L+phBYuyiR1Z2CHuvSSx7eBxjyNOG2XoJhCbshl7q9vVGhvnQxFdmHLLA4RU1o76612grFAhghbKhY1bujaJC8JJioKgI3Gsm0DT11h7cBYNgHhkcAFPNnW1FARoDYPVBCAXGOdmnwSNpxn0FDtFhNzMWFpi1wx5fC6N9fk0XLxPJDm80zM18HtHIZZf4TOkjQBqZDUSduEe4x+umC7xmtjVeGxNeazER4CzkXq7pAahCEKrQiKBZCUhiXghMhqIbXkGq3ghFa4SmB+0Jr3F73Zz06k3cyCNdyGNNbh1u/2GLENbk3FqAsBcfrN51QAUcyeM4dMPlnavQzdxMujk513XL5iaJ8oC4yfKa2tuWyeUxZDKkQ1ddzw51Xcf8+fNRVlZmrxiUl5fj7rvvhq63jV++BEE4sVZHEz2yiS1btuDMM8/E/Pnz0a1bN0yYMAEvv/wyAlayxBRC+kgQ+YdbfcwmjWxNfQRII7MVHvYndJKH1ePS7YODG7HnXAXnAXAegKY3QtP9ULUG+wiqtWhUjqEheBgNwcOoCx5Cg/IDGpWjaFSOwq9UI6jWQdUaoOl+6DwA3ezP6Fsz7bF2qnlCk/Wmz+R4lqjPYBy6GYeuaX4oagP8ajX8arVta8C0N6jWQQmz2zgajc9CDxoTdXOhgUOLaX+EjW2YXNXHZEmHrrqesP/3f/83nnzySdx///34/PPP8fnnn+O+++7DE088QVk/sxR7VxihHZLw3WMBzPgTtsMiMUASOCSBgzFuuEJJorHTI0lGTKUkAaIILnvAZQ8gSobrpiQaW0uScTAJEERjByr862jFq4W7XIbbZJ01drQ4BHPXXxB1MCPoPuwQwWXZuL/HYxyWjR6PEVsvMTCJQRCctgiWh4F5MAbb+8CI93e6wyf+uafHWyITWKujiR7ZxJAhQ/DQQw9h7969ePvtt9GpUyfMmDEDXbp0wbXXXpvSe5E+tj2iff8trQj/t6WdxjUCGDP2dwytM37ZioxDEDgEGRBkGPXVZRHwmJpqaZilqdY5rzekaeZrLnvM89Y1MiBLgCekdUziEM2ScyLjETrnsD+OFlqEexuF/26JRjRtb4u41cds0sjW1EeANJIg8pFc1cdkSYeuunaJf+655/DnP/8ZP/vZz+xzAwcOxHHHHYff/va3uPfee5MyhMgu2sIXhkgdbSFhCGMM559/Ps4//3xcd911mDZtGp577jksXbo0ZfcgfSSI/COXk85ZtIY+AqSRuUC0HV/mOGVmdmfMdpOHmTXedv5mAmDnCAkrMxwWMuPIoh7H9b052xJ9HhbygW/2GTTLdt1YbFQgwnB1D/cAcdZUD3kChN84cjc9X2kLY8hkSKWuup6wHz16FAMGDIg4P2DAALswPJFdcK6FkoWYgqKHCYvluMPNLwnnhuyouvWaGfGJqmZkJ7ZgDNA0MMVMOqKpRjIkVQM0HVBNUVYBXTPqAVuuLhwAN8UsWryjbgqbbtlj2qZxBl0TwDXV6N+8B1QNTFHAgwogm/YIQiiGXdPAVbNP3WlL01U94/mt+0fW0EyUtpQhmSPxsP1s/ZW0f/9+rFy5EitXrsSOHTtQUVGBRYsWpfQepI9tj2gaEL6gaWlH+NhMhw7OQ8MzS1M1zqDrDGYYpKFJigYEVSMGHTA0VAmCKTK4IIQ6aBrDrgSBQMBoDxjXKyoQDGkdVxk0TYDGmXFvHrKZh/0bMFwWm9NCCw6z7BGPr42prpSRrbjRR6t9ttEa+giQRuYq8WuHN1GKLPwhT/gZstD2XKctjCGTIZW66tpXbdCgQXjyyScjzj/55JMYNGhQUkYQBJHdGIP5xI5siz96+umnMWLECPTp0wfPP/88rrjiCuzevRt///vf8Zvf/Cal9yJ9JIj8w40+utXIxYsXY+DAgSgtLUVpaSkqKirw9ttv2+/7/X7MnDkTHTp0QHFxMSZOnIhDhw4l3H9r6iNAGpmrsGh/zISTxiFBYHLoELwQhAKIYhFEsRSiWApJKocstYcklUOSyiGKRRCEAqMtk8GYZB5mn1H+tMozOGy37LdsLXDYbB0Ou2PYn8/k8hgyGdKhq6532B988EFcfPHFeO+991BRUQEA2LRpE/bt24e33norKSPyAUfGSscbkdk4DVIb9xe+o86hm7sk3DZB56E7qxz2jgwAKIoI3c+BgALWaGT3DC/rBjOJAmv0G7WBGwNAQxC80diN1wOAqgpQdAGKuWuv6MY91bCdGkdGTm5lGgUUzqBYtmgCVEWA7ge4XwVrNBM4WPeWZUfWequsG/wKeMB4Xk0zbFGb5CKxVl/1sE8o/DNLdFepLWKlm0m0rRs++OADPPTQQ9i6dSsOHjyI1atXY8KECfb7V199NZ577jnHNWPHjsXatWsT6v+ee+7BpEmT8Pjjj6d9QEj6mCVwPWqmeA49Zky1rT/md1wPy3is239zWy8BQOPWYXjtWNdzpkPnhn4BpobpDAFNhKKI0AJGW71Rh9CgGDpW32g0lmUwgYHrHMzaPY9W1i0QAKtvCF1X7wfqAuCNCvRGw0DFLyGoisZ9dQbNYbehapbdKo+vhdF2zMPLMbmiDXkgudFHq32i9OjRA/fffz9OPPFEcM7x3HPP4ZJLLsHnn3+OU045BTfddBPefPNNrFq1CmVlZZg1axYuu+wyfPTRRwn135r6CJBG5gJRx6qOikZCqJ2tswIYk+3cPULY5Ftgkn1OErxQdWPcFp4dXucqmOWmzlXDRd72ww+5yIfblqiLueN57OeI/QyW7YJg2C0KHui6VbLN+j2hIjyTPMKy2tv2MaebPItibr64yadzDJmNpENXXU/YR4wYgX/9619YtGgRvv76awDAZZddht/+9rfo3r17SowiEqfpADQUGxT2N4OZqdL4W2e6OVAzB6bg0DiHYn5LNA4oOkPQjN8JqhLUesBbFwBqzbqUkplsSNXAGq0BYyNQWw/UNkKvDUCvNzpUGgT4AzL8qohA2IRd0QENmnNibNXuNEVM4UBQA/yaYUujKsEfkFFYp0CqVcGKzcUCbz0giYYsa+ak2us1EuABQG0jNNPMQFBCQBMQtGzhpi3283N7mGp/nk3cYpMepEal+binbIBzZodMJNLWDfX19Rg0aBCuvfZaXHbZZVHbXHjhhVi2bJn92mvVp06AvXv32gkO0w3pY+7AuW6UIbK+xyx0zm4DzaEDGjRo3NBLwJqoG3qp6CEd1pnu0FRLw/yaiEZFRmGD8atXrg5C8CpgnkZ7oRGAoauBIOD1GK9l2TLafF81FijrG4FaYxEVx+qgV/uhValQDJmGv1FCoyLBrxnaG7QiiHQO1XzW0CIqg8rNBdsoWmg9l5G5WYuYvIcvuLZGOFA2DXTd6KPVPlHGjx/veH3vvfdi8eLF2Lx5M3r06IFnn30WK1euxAUXXAAAWLZsGU466SRs3rwZZ511Vtz+W1MfAdJIgshH0jmGzEbSoatJ1WHv3r17xhKDLFq0CA899BAqKysxaNAgPPHEEzjzzDNjtl+1ahXuvPNOfPvttzjxxBPxwAMP4KKLLmpFi1NEjB0jRxOugzHBnqTb5x3x6jp0c5Js7bBrXIfGjUEcAAR1AX4daNCMyW69IiNYL6LgWCOEo8eMjkRzIqyEdthR3whUN4AfqYd+LADlmNGfv96DhqAH9aqERnPi7dcYgroGFZpjMsy5Dg4NirmYENQ4/LqABvO6BlVCQ0BGYZ0E6Zgx0AUAQTJzGasa4Dcn8T6vbSev9iNYY/RRH5Th1wV78SCgMSiOQbgOFbqxsGEO3nXTrmiD1IhFkjStD2ZygJrO1dFx48Zh3Lhxzbbxer3o2rWry54NWnMwCpA+poKYHkmp6Jtb9dKj7MBz52Rdhw6VKVBheAupXIfKdVsrrIVHhQMBU6M4dKhQoXAdQVNTLQ2rVSUUBT3w1hv9iZIOJqkA/BDMtkJQBer8QLEvNFGXRCNtu7W1r2pAIAjU+8Fr/MZ9q/3QjgShHOVorDIm+nUNPtQpHtRrIupVBr9maR6HAh0aFHuhQeXMOPRILVSZ6S1lfiaOz4lH9zxqSzk84pHOHfZwNE3DqlWrUF9fj4qKCmzduhWKomD06NF2mwEDBqBXr17YtGlTQhP21tZHILMaSUQn0V11u62dVM7QqKa70gKTIApeSIIHoss67DpEcChgdjI6897WYioPJZFrblyU2M66YP8usHbXBcEDUfBAFgoMu8WCBOqwS0Yddhaqw864DkAM2djE/nAbs2kBMh3k2w57OnQ1oQn79u3bceqpp0IQBGzfvr3ZtgMHDkyJYdH4y1/+gtmzZ2PJkiUYNmwYFi5ciLFjx2Lnzp3o3LlzRPuPP/4YkyZNwoIFC/DTn/4UK1euxIQJE/DZZ5/h1FNPTZudrU20AWi4m3n4bjA33Tw1qNDMQZjCdSi6bg/c/BqHXwMaVHOCq0hoqPOg+LAfwvdmUhhRNBYRVN1wgQeAugD0aj/0Y0EED+toOGYIeU2dD1UBD2pVEXWq8UPcqHEENY4gM0TQwLBZ5QEo5gDZr+loUBnqzeuqFQmFfi98tSpESQcE4xpJr4foV8Eag0CRuZXukw07BQbtBz8aas1BrOJBvSqi0Ry8BnUOVedQzMGwCg6NqVChQoMhztauUbjnQlKD1BwdxLoptWG1q6mpcZz3er2udsbD2bBhAzp37ox27drhggsuwD333IMOHTok1VeqIX3MXZwLbhrAJPs7rHEVUpheAoDGVCjQETR9y4MaR9Bc/LPCdjg3JsIBrsFvtqtXOWpVBp8iwid4IIXv4nM/CoIKZNNTSawNghXJYIUymGwujEpCkwm7Dh5QwRsU6LWGRmnVOpQahoZqD6prjYHmMb8Xx4IyqhVjwl5vxgEFNB0K16AKisPrKaABShQttJ+fK2HhQTF22HNU41qC21JEbjXyiy++QEVFBfx+P4qLi7F69WqcfPLJ2LZtGzweD8rLyx3tu3TpgsrKSrePkTayRSOJSOJP1AGr+K/Tddx0gbdKBQsew+VdNCe5ggeSUABZKISHmeeYDzL3olGsBgD4WQ0YExA0h4CWZw+DDkAG5wrArIkvzIm7HrLPdJGPmtU+xmTdPh82WQ8tOnggCBIkwQdZLIBkTth9Yhk0QYHKA9C5qbd6AIrWCN0cR2t6EIwLxqTdhJvTVKf9CE3czWdoam9bnLwnM4YknCQ0YR88eDAqKyvRuXNnDB48GIwxO8N3OIwxaFr6YnwfeeQRTJ8+Hddccw0AYMmSJXjzzTexdOlS3HbbbRHtH3vsMVx44YX4r//6LwDA3XffjXfffRdPPvkklixZkjY7CaKtwZF4IhCrXc+ePR3n58yZg7lz57q+94UXXojLLrsMffv2xe7du/GHP/wB48aNw6ZNmyCKzdeBbg1IHwkiv3Gjj1Z7IHGN7N+/P7Zt24bq6mq8/PLLmDp1KjZu3Ngim1uTbNFIoO14IbWUmB5MTXai7bbmBNdoEpqsC4KxESKaO+my6AMAeIRieIRiFLAyFPISAICse4wpsznx1wUjBFISzBh2K/4dEjQeDHmMOjAn7a6J9KiySs6xsOcydthliIIXXqEYAOBjpQAzFiwVGAurCmsAYwIUzW/3p+lNrVOM+bi1RmCXrrNs0Z3VPyy74ngO5CLJjCEJJwlN2Pfs2YNOnTrZ/84EwWAQW7duxe23326fEwQBo0ePxqZNm6Jes2nTJsyePdtxbuzYsVizZk06Tc0o9o6R+fOuQ4cQFifOuQYNiuEKae4eK1AR1CV718ivMTRqDLXmDntV0IOq+gKUVvohHTBd4i2RUXXwBtNFqF6FXqshWAU0VnlQVWOsTh5t9KEq6EG1Etphr1d0NGgqgixouxhZFmtQEGDGrn2jqqNeFVGtGNcVSRK8gheyYLqqm2JZEFAhNzZCqA2CmTvszCcZO1QCQ6BSR3W98YukOiijThXQYC6ENqqAX+UImgmdFK5BZcbnpNueCqYrKKy4//Cd9ra/o5TM6ui+fftQWlpqn092d/3KK6+0/33aaadh4MCBOP7447FhwwaMGjUqqT5TCeljNmN9T0OSFfJE0oEm+T8svTSu0aBxxdZLAFCgIMgVBHXjV6dfE9Cocvi1UJJOxow6wwrX0GiWnaxXBNSIDLIgQmKhsjWKLiCoiSjxB1Bg7pR7jmqQCv0QCv1gstmnZAu6YZvKwRUOrRFQ60039wYZDQ0e1DZ6UR0wvmvHgjKOBGQcDQqoVhjqzaB6v6YjgKC5Y25c79cZAhqHXwtpYZArUJji8DTSuGLHsRsmhbwUIj9367xVw7htamWyO+yJaqTH48EJJ5wAABg6dCg+/fRTPPbYY7jiiisQDAZRVVXl2GU/dOhQ0iFE6SAbNBIgLySCyBS0w95yEpqw9+7d2/73d999h+HDh0OSnJeqqoqPP/7Y0TaVHD58GJqmoUuXLo7zXbp0sROXNKWysjJq++ZcxQKBAAJWTDYiXdaygZALfOwBKG8yobTdeJgEAYojLjPIjXhLv+mP5NMY6lWgVjQGckeDEooaClD8fRC+f9catzI3NrnCYYYjQW1gCNRLaGzwoLrBZw8aDwc8OByQcCzIUBU0vol1io4GrsAv1EEzM4YadqpQ9QD8otFpnV6KOkVEjWQ8l08UIDIJQAEUXYBfNX4OSxoDKKwNwlOkQiww40MLmTHgFYBjlYX4vr7Qfp4a1XhGwHTP13UEzMm5AhUKC0JjauhzgzlIdcS4Rh+khtDazGQ+mdVRqwxRqunXrx86duyIXbt2ZcWEnfQxe7B2JZqLf7e+twyCI8mcrZVmTKIgytC5ApUFoJguk0F4EYCMRm689qgCahWGGkWwJ+yFohGq4Wd+1Klmu6AAkQkAGDQeSr7ZoImoV2UUB7woqje0pkBW4PWokGXNCPuBofVM4ODmdbrOoKkCFEVEIGj8rNUHZdQrMmoVGTWmLlYrAqoUAVVBhuogR405Ya/TFfiFRuhQ4DEXPxtUw3W/UdXRaLp1BlgQQRaEYi6gWi6hHHpY7KaedC6PtrKLlOwOe7Iaqes6AoEAhg4dClmWsW7dOkycOBEAsHPnTuzdu9fOwJ4NZINGAuSFZJGYG3xku9BY09iVNsqghWeA90ASjHGWRyhGEdqhTG+PEhQBAAoFychdZI61GlkNGBOb9B26lxF2mOyOepRHbOLWb90n/N6MCRAgGN4Dpu57eSGKeQkUKGhk9QCABuFY1HtoesiFH0yGvctuGBC2y27ZEHuXHchPjaQd9ui4Tjp3/vnn4+DBgxGrkdXV1Tj//PPT7s6UbhYsWIB58+Zl2gybyAGoc1fIaBM5AA0NmjTHLrDGVYj2DrsxCFOYB34ehKxbMesMkiBCMgVcZAJE5gVHOeo+NdyfCmQFAuPQOYNmXhdQJTSoEhpVCbWKhGrFEOIqRUCVwnAkABzx6+a5IGpZLQK8DqoetJ+Ncx2q3ogGM8apFiU4FpAgmsLJwRDURdSrAqoVESXmokBJvYrCKhUFsgqPaPwMiuZANKBK+L6hEAcbDduPBEVUBRnqFOOzbVCNxYqAPUgNQEEACvfbsZvWYoIzhl2PyIgcPUNyk1jPHBTgbFod3b9/P44cOYJu3brFbDNkyJCEk3589tlnqTKN9LG1sLbMbSJ1MV6iTkeSTljfXQ265a7JFWgQIHAFKgxPniCTIUGCaO6wCxqDHuDwayL21xvn+uonIcCCkLkMjVleSzpqTS8hjTMEzQR19SpDtSKiWJJRYOpWgajDI2jwiLod684YIJg1QQBA040d/YAm2tU8/JqIBk1AnSqg3uy/VgHqVKBW4ahVjFwlgBHJWaaXoQPa4Y3/GLoY0DjqFA21moIGbvxuCAgBBFkjVO43bVegcQU6VxxeW009jZLL5dHkXBZWy4hFsjvsiXD77bdj3Lhx6NWrF2pra7Fy5Ups2LAB77zzDsrKyjBt2jTMnj0b7du3R2lpKa6//npUVFQ0m3AuU/oIZE4jW8MLKdsXNBOniW6GucMDoUlu+GTXciO34tW9rBhFehnaoRhdfIZ3Y9dCBr8GVFWZ5YGZZmuJrkeOrwxSt+nBwcMm08Zzhi82MrNSSFOvIRES+nnao07R8INujDm5oNsu/QCgMxU6U+x67kYjFRxixDNEnYyHxeU3bZuLY8ampHMMGa80MOccc+bMwZ/+9CdUVVXh7LPPxuLFi3HiiSc226/b8Jl066rrCTvnPKpBR44cQVFRkWsDEqVjx44QRRGHDh1ynG/O9atr166u2gPGL8dwga6pqYmIMyOIfCOdYltXV4ddu3bZr/fs2YNt27ahffv2aN++PebNm4eJEyeia9eu2L17N2655RaccMIJGDt2bMw+w8Xa7/fjqaeewsknn2zvOm3evBlffvklfvvb37ozNg6kjwSRf6Rzwv79999jypQpOHjwIMrKyjBw4EC88847+MlPfgIAePTRRyEIAiZOnIhAIICxY8fiqaeearbPTOkjkDmNbA0vpKxZ0GwGV7vrTXaeLddKI+ZbcNRYF5kEgcn2rrTMvSjgPpTIMnoUGf389LhqnL7+p9DnGyVav/rgBPzfsaHYXSfhQIOOH/zG5LdKa0SVUI16VgW/Xg2/bix8qFojglo9NHOTR9P90PUAGFftzOyGrRKY4IHAjMm1IHggiT7IQgFk0fgZ8wrFKBDaoZiXo51eDgBoL/nQpVBCryJgYJkfw0/aDwAofmgc3rr4M6w96IVSa3gQ+FGEABogmRnwNR6AwGXoCMXihzxgQ6/B0GTBMnUeBNlMOseQ8UoDP/jgg3j88cfx3HPPoW/fvrjzzjsxduxYfPXVV/CZi0lNcRs+A6RfVxOesFsfAmMMV199tSPWStM0bN++HcOHD0/KiETweDwYOnQo1q1bZ38ouq5j3bp1mDVrVtRrKioqsG7dOtx44432uXfffbdZV7GWZLKOR7OlilK2Y9Qk8zHToXEVjJvuP1yAxiQoaIRguiIJlghbdYRV4+7WznlQZ6hXRRwJFuDbeuOzKRA5RHP3yPpyKZwhqBulgxq0UGb3OoWjVjHcMasUQ2iPoRbVwmE0qsegWgXSuQ4OBYrWiEbJcDc6JvjANAFqoyGyfk1GTVDAEZmhRJZRIBo/woWiBz6RwyNwWOGeDNzYhdIZ6jUBNWaofFUQqAnqqDPdQ2tVFXV6EA3MsMPPGsxdpYC9s2S5glq7SjpXwlaBE8yOnMO7Sul0Z9qyZQvOP/98+7U1IZw6dSoWL16M7du347nnnkNVVRW6d++OMWPG4O677272ezpnzhz737/+9a/xu9/9DnfffXdEm3379rmyNRakj6knEff2xNEdcexmx2DmecDQSp2r9ldShwAIAOPOxIY606AIho4FeCHqVC9kNfSrVLU0Atz22hE0o6Z5UBfQqBnx7ABQIDH4RME8jD48AofMAFmwcwqHtNb6bLhVM53Ztd4DurF75dcYArrlPQQ0mm7ufk2HX7cqgxglKhXo2F3XYNsegIIAC6JRMM75WR0U3oAgN7TR0EGjlFF4eSOnZ1G451GoWkmqBqXZuNuUrEt8Ijz77LPNvu/z+bBo0SIsWrQo4T5bWx+BzGtka0ALmgQRnXSOIZsrDcw5x8KFC3HHHXfgkksuAQA8//zz6NKlC9asWePIkRSO2/AZIP26mvCEvaysDIDx8CUlJSgoKLDf83g8OOusszB9+vSkjEiU2bNnY+rUqTj99NNx5plnYuHChaivr7c/0ClTpuC4447DggULAAA33HADRowYgYcffhgXX3wxXnzxRWzZsgXPPPNMWu0kiLYGd7E66nbNYeTIkVEzBlu888477jpswqpVq7Bly5aI81dddRVOP/10LF26tEX9A6SPBJHPuNFHq3220Br6CGReI1vDC6k1FzTdkvjCZ7RNoVC8t90fE+zs6qFWxh/j3yIE857WAuLX1cWQR72GmqARzra3wYv/NIqoCnI0qDqCurHAF2BBo/SwmfTTWgzUY2yORFvEC89PYr0Od3XXzQSaKlQEzKSafl1GnSLgcEDAzlof6r4w8im0/9mn2F1XCI2HPkeRSxAE0V7QZRBDIQJW2fWoWe7j0EazxqdzDNkce/bsQWVlJUaPHm2fKysrw7Bhw7Bp06aoE/Zkwmeakg5dTXjCvmyZ4cLSp08f3HzzzWl1XYrFFVdcgR9++AF33XUXKisrMXjwYKxdu9Z2Wdq7dy8EISQgw4cPx8qVK3HHHXfgD3/4A0488USsWbMmJ7N7OnfnIzMfAzBdbYz3dTP22tqoVx1lH3VwQQdnhjhqTIEiBKBwY9fIzwtQF/ShVjFcm44ERBSKInwSg8f8fCUBaJK4GLqRNB6KzuHXdATNb2ejqqFBV1APP2oFIza9HsdQrx2BX62GpvtDz8hVKFoDGpWjRqcyoAh+NMBI5FQdKEFh0ItCQYJPFOEzd6o8AoMsCBCZ01GBc0DjRq11vxqKJ23QVDSYsUd+5kej0Ai/mUwkyBug6A3mDrsRj6bpAah60E5Cp+uqHdPujIFtflcpWdHNtFi72R/LNueugoICfPTRRxHxSh999FFMdyi3kD5mAG6PiswT4Uk3Tb204xUtl0TdESqoQ7VdOnVdBQRn0jSBy0ZddSvpmhCAxBoRYHUAgHomQxK8ECBC5KFfpwJEiEyCZJ7zQ4asyfBqMjxBEV7BGOTJgqGpHpFBNv9rRMZMfWW2rUKTsbZu6pqmG38DVv10QNV1O8t7QDcGwQrXEYCR8R2AUQWDqVChhg1gjXMK90M185uoeiCi9rDGjd11q96wteNuffNDuT6iJN105PsI1zTHLyjkGm79B7JJI1tDH4HMa2RreSERBBFJMmPIpjkgklkQs8JX3IS2JBM+05R06KrrGPbwLf9MMGvWrJjiumHDhohzv/jFL/CLX/wizVYRRNuGcwbOE3RnSrBda3HjjTfiuuuuw2effWYnDPnkk0+wdOlS3HnnnSm9F+kjQeQfbvTRap8ttKY+ApnVSPJCikIC2eEjL4kemqlDtxP1KiyAetaIo4oEmMWFqgIitleV2+39GlCr6GayyyDqmFkdiNWiAdVQeANUPRC2UaIgkTBE3sSpOlQBRAktvjIZQdRBEETbqUDXdQT8BahVZFQ2iPhStKZIEupVDVVBBdVmeJBfaLATcIbfJzpWWFVk8rlMb8a0FsmMIZuGk8yZMwdz585NtWlpIR26mtCE/cc//jHWrVuHdu3axc2Cl+qMogRBZJ5c3mG/7bbb0K9fPzz22GN44YUXAAAnnXQSli1bhssvv7zF/ZM+EkR+k8s77OnWRyB7NDLvvJAIIktIZgy5b98+R9nLZMJNrPCVQ4cOOSoLHTp0CIMHD456TTLhM01Jh64mNGG/5JJL7A8qPAse4Z5mEynFSTxnl6QIq7sefkkoA6VqX6cD4Hp4rWENgqCCQ4NqrzQGoLAGBM3VzQbBCy8vhAyj3I9X80JWZcgByawlDEhgEc/AwaGCQ+M6FKgIMMPFXmFB+IV6BNCAIDdcSf16DYJaPZSwjJ9GsiIBmu5HQK21+1XFAIKCcV2tUAwfiuHlBfAqXshBw21fhAgJRq3j8LVf3exV4Ro001VdYYpRus20L8AM93fFLChvucLrXLFLzlkuoJYbqLFiq0apPxzuBmr+bbvYxnABtf/zopMNK7DZVNYtGS6//PKUDT6bQvqYXppN1hmB9b0SnNdxHQjXSYTCiazwIQYBuq7bJXks3dS5Ymc+FvUAVEGyXwtMNqI2zb+Nfg01YhAhCpY+yRC5BBleSFyCrJvnNQlGoTjB1lYRDBITzFJusZ9bB4fGOXTzgbQw7bUS32lMhQIFqqBCQQAaU822CnSumWnnQok0NTOZpl2qiKvmedP9PUwHQyWYmtPBcFf3aO7w7qau2aCF0UhnlvjWIJ36CGSXRpIXUvKEhwsBZglhS2u4CqaHElhCADRBgZ83oEo1Mqt7FS/ksGkHh44gVARZAAHBD78ZahTkDVB4AxS9EZoegGImJtb0IDQ9GDbG0hBbQ3RwU8c4BOhciGiqC0aMvDX2bRRrUM0LIOteyAEPJIQSjipQEGB++IWQjUG9Dopu2RZokow4nHilCuNnis/13fhkxpClpaWOCXsy9O3bF127dsW6devsCXpNTQ0++eQTXHfddVGvSSZ8Jhqp1tWEJuzhLkyZdvkkCKL14UDCvypy91dKcpA+EkR+40Yfrfb5BGkkQeQ36RxDNlcauFevXrjxxhtxzz334MQTT7TLunXv3t2xeDhq1Chceuml9oQ8XvhMJnAdw75v3z4wxtCjRw8AwD/+8Q+sXLkSJ598MmbMmJFyAwmCyDzG6mhiu5zZsHvUrl27Zt0uwzl69GjK7kv6SBD5hxt9tNpnkkzpI0AaSRD5SDrHkM2VBl6+fDluueUW1NfXY8aMGaiqqsI555yDtWvXOpK/7d69G4cPH7ZfxwufiUa6ddX1hP2Xv/wlZsyYgV/96ld2qvxTTz0VK1asQGVlJe666y7XRuQjMd08o2Y+BhzZj8PdbRwVIAwXeg7RLrfBuG6UljBd4nWmQjCz/DKzDrvKGiEKXjvzschk1DMZouUGygwXUJHJds12gYdKevAwVx6VKeBmuQzNLJVhuZhrunEAgKI3QtX80HQ/uJmJ3fDv16HrAahhfat6AIpgZHCXxBo0MC8EJkNi3jAbZTAItn2WjToz0qBw6NC5Zn5Kil0yBDDcPI3kIaa7qB6ADj0iE7IjI7yj9nB4Vviw/7OorvDh/6cIPXeWk2s77AsXLszIfUkf00OzbvERmgmEtDD002jrpsM1PjyzvKGbVjvGBOhQzVI9RmiMxiQwPaR9gmC4wtvlfBAq7+N0kxcgQjbOMQECTJd6QTTOc+N943qzOBIPBfdY/9bDyhTZruzmOQ2K4cLPdFt7Lbd3DSo412zNs0ocWS6cxvNrpjt8uLu75nR/h25nhG++Oob52cbMCm999mHE0cFsdgfNtR32TOkjQBqZC0TTW6PChmi+rwNchd6k+pCuK9AFcxwlBOBn1agXvJCYMTGydDB0H83WIY0r0PSwMZgZkqhzxQ6b1HUVvEloIrgV+Bim9dABzsIqYKiGHIW58OtchSgEobJGBAQjG7lojimb2mn0odtjRet6q2pGyOZYFTNif85W722ddI4h45UGZoxh/vz5mD9/fsw23377bcS55sJnopFuXXU9Yd+xY4ed8e6ll17Caaedho8++gh/+9vf8Jvf/IbEliDaILkWwz516tSM3Jf0kSDyj1yLYc+UPgKkkQSRj+TaGDIZ0q2r0WszNIOiKHbykPfeew8/+9nPAAADBgzAwYMHU2sdQRBZge7yyDZ2796NO+64A5MmTcL3338PAHj77bfx5ZdfpvQ+pI8EkX+41cds08jW0keANJIg8pFc1sdkSbWuut5hP+WUU7BkyRJcfPHFePfdd3H33XcDAA4cOIAOHTokZUS+EtfNM8LFEwh382RgjuzH1mWJunkKZjZkjQlgeqOd+ZgxASKTIlw8GQTbJcqwxMpEH+b2yDXbRdKqT6mZLvjhWdZ1PWi6DwXAeVgGTc4BqNBNN3muGS6YquA37qnVQxS8ETYKpku8YX/IRssm47MIZTHm0EzXJcP+cHvtmp0OdyY9aibk0L/D/o9iuoFGkaEYbjzZ5v7JeeKe+9nm4b9x40aMGzcOZ599Nj744APce++96Ny5M/7v//4Pzz77LF5++eWU3Yv0MX00W2EDaEYzAUfW+PDvKxOihhSZNzR0j4fc3UMu8lbhXr+pi+Eu8YZOMiY4XOINDQ1pqXFeDLnUW+FG0XQs5iNrTv2FBq7r9rlwPeZhFSwsl3hD60L6aGmfQyub1D12aiDgrIwR9rm7yQqf5VUy4uFGH6322UJr6iNAGpl1ROimeTo8/NIOI7Jqjhs6KcDIng0Y2igIku2+LgiNRniP4AwNCv+7qR7pupXV3Rj3hYfgAJaLeSiMB1yNqQ+G/abrPAAdGhh0cM0c9zHDViF8rBs2zo1Waz5cL/Um1THCQ4WscW5UbWzGRb45ckEHmyOXx5DJkA5ddb3D/sADD+Dpp5/GyJEjMWnSJAwaNAgA8Nprr9luTgRBtC04GPQED55wCa7W4bbbbsM999yDd999Fx6Pxz5/wQUXYPPmzSm9F+kjQeQfbvQx2zSyNfURII0kiHwkl8eQyZAOXXW9wz5y5EgcPnwYNTU1aNeunX1+xowZKCwsTMoIgiCym1xeHf3iiy+wcuXKiPOdO3d2ZAVNBaSPBJF/5PIOe2vqI0AaSRD5SC6PIZMhHbrqesIOAKIoQlVVfPjhhwCA/v37o0+fPkkZkO806+YZ/lMbkTUe4GGZ4EPtml4a282TM8ttx3LpDJpdCFCACDehcMLdNR0u7XC6VlqvLXeh8OyenCsAD7k7WS6rHBpgulVxphuZj7nl+i5B1fwQBMl2RbVstGyPRXg2+6b2hbstWS6gsdw/na/D06SmJit8Nro+uYkryrb4o/Lychw8eBB9+/Z1nP/8889x3HHHpfx+pI/pJaGM8UBU93jeVMfC3L0N9/imP+mC8W3kotmlYGhoExdPhGmRdT5ci0Iu8U53dzukp0lbZ9+xidStpiFKuu0WH94mEe2zzzV5nYgLvHFdcuFAsfvIXtzGXWaTRra2PgKkkdlNlPDLGBU2dGgObeSaauuWppuaqDU/PosMvwnZYY3BQrqlINytnJvO7hFaYlYcCo2RVXAIZqZ70waumiGigkPHrWeJRjT7wp/DCpVszg2+LVQNSoZcHkMmQzp01bVLfH19Pa699lp069YN5513Hs477zx0794d06ZNQ0NDQ1JGEASR3VgZPhM9sokrr7wSt956KyorK8EYg67r+Oijj3DzzTdjypQpKb0X6SNB5B9u9TGbNLI19REgjSSIfCRX9TFZ0qGrrifss2fPxsaNG/H666+jqqoKVVVVePXVV7Fx40b8/ve/T8oIgiCyG+7yyCbuu+8+DBgwAD179kRdXR1OPvlknHfeeRg+fDjuuOOOlN6L9JEg8g+3+phNGtma+giQRhJEPpKr+pgs6dBVxpurNh+Fjh074uWXX8bIkSMd59evX4/LL78cP/zwQ1KGZCs1NTUoKysDICJmqt4UEdPN09EoWpsmbp7h/TRx9TG6sP7tdMts6sLZtP94LppN3cQj3S41ZxuuG+5BdpbisPAAy2UUzHyGcBvCs9ZH2pkYka6kTV3mLff3aM9mnEzQBT7USVyrWscFlAPQUF1djdLS0mZbWj//8068HT7Rl1Dvfs2POd8sSKj/1mTv3r3YsWMH6urqMGTIEJx44okpvwfpY+uTFt0Eomqn0VX4azHiXKS7fKiPaO7ukeFGrtfRASDCPbPp+Whu7NGuaer+Huva5l3gw9o5jYz9ADH7aW3Sq49Admpka+gjkF8amQ362JS4eunQysTHlk3Hlc5z1vUxXM3jao9z3OWoOmFqSrhu2HbazyKEnWvO/T227ZH2hWx0vtfWwyQT10egbY0hkyGVuuo6hr2hoQFdunSJON+5c2dyZyKINkpbSBjSq1cv9OrVK633IH0kiPwjl5POWbSGPgKkkQSRj7SFMWQypFJXXU/YKyoqMGfOHDz//PPw+YzVksbGRsybNw8VFRUpMYogiOwi1xKGzJ49G3fffTeKioowe/bsZts+8sgjKbsv6SNB5B+5lnQuU/oIkEYSRD6Sa2PIZEi3rrqesD/22GMYO3YsevToYdfP/L//+z/4fD688847rg0gCCL7cZMIJBsShnz++edQFAUA8Nlnn4FFdYlGzPPJQvpIEPmH20RJmdbITOkjQBpJEPlIro0hkyHduup6wn7qqafim2++wYoVK/D1118DACZNmoTJkyejoKAgKSMIg6gxOBGNwn6So5R6Cy/FAYSXfGtauih0jnOzJIfjPiKaklipC4sYsT1Ny3HEJKwME9fAHGWZVHAu2CWWQkTa3DxNytFFPEfTOKO2GrMZHzeJQLLhaR577DE79mnDhg2tdl/Sx9an2dKYdiPzpzJKqbdQP030jWtmn2HtHPoZ6sPSUKMfABAdX4RQKaHocZyx49abi2ePrp/R9Jg3fdYmZSpjXxtbAxPO3WF0HPu9mP3lDm4TJWX6STOljwBpZKZptiwmYImZ+SLxsWVIP0Plgpt+7ROLC29y36iaY+XRiIxft14zsDDd180Wgp0ziYVpdyiuPbbtUW1z3LQ5bYxxbRvXxXBybQyZDOnW1aTqsBcWFmL69OmptoUgiCwl11ZHhwwZgoMHD6Jz587o168fPv30U3To0KFV7k36SBD5Ra7tsGdSHwHSSILIN3JtDJkM6dbVpCbsO3fuxBNPPIF//vOfAICTTjoJs2bNwoABA1JmGEEQ2QMHA08wy22i7dJJeXk59uzZg86dO+Pbb7+FrrdeVBTpI0HkF2700WqfSTKpjwBpJEHkG7k2hkyGdOuq6wn7X//6V1x55ZU4/fTT7QQhmzdvxmmnnYYXX3wREydOTKmB+Ur63TydbSPa2a5BgOWWmVjmxuiuTMY9eGQ7zqO7M1mnWBN3qzA3VacrU7jN8coixfkSRXUpjfbw2V6+LXVwJL7qmQ1PNnHiRIwYMQLdunUDYwynn346RDF6yMS///3vlN2X9DFzuA4pAprVzqYuoMb1WpO+o4UaAYYWhXQoJNVC9O9HlBCk5NGino3remo3bKH+GTeL/V7cfnMPN/potc8kmdJHgDQyG4irlVF1Mv7Y0tlfFB1x9R2JMl500ZHD9T/MNT70PoCwcaVFRBhUwjaGk7/hQbHItTFkMqRbV11P2G+55RbcfvvtmD9/vuP8nDlzcMstt5DYEgSRcZ555hlcdtll2LVrF373u99h+vTpKCkpSft9SR8Jgsh2MqWPAGkkQRBtk3TrqusJ+8GDBzFlypSI81dddRUeeuihlBhFEER2kYvxRxdeeCEAYOvWrbjhhhtaZUBK+kgQ+UeuxbADmdFHgDSSIPKRXBxDJkM6ddX1hH3kyJH4+9//jhNOOMFx/sMPP8S5556bMsMIg6auMQm5LwExsnxafQIRbuPc6UYZ1e0zQRJyn0zUN8qFKxPgzp0p1F9ztsRzn09cWXLZzSmXM3wuW7as1e5F+pgdJKSbgGvtNPqOEnIT4Sof5foIt/lwIkOQ3JOA7sW8f+voYC5rYHPkWpb4cFpTHwHSyGzDVfilRRQX+VB/FsnomHudaU5TIp4tospSrPFxCslzbbTI5TFkMqRDV11P2H/2s5/h1ltvxdatW3HWWWcBMOKPVq1ahXnz5uG1115ztCUIIvfJl9XRlkL6SBD5Ry7usGcK0kiCyD/SOYbs06cPvvvuu4jzv/3tb7Fo0aKI88uXL8c111zjOOf1euH3+93duJVhnLtJAwEIQmKrZowxaFr05De5RE1NDcrKymDU+M585sJmV0EdDeO1a/7/MeH7RMHtDnu09hH3j3ie6PYnY3f+7bBzABqqq6vtmpGxsH7+b+pzO7yCL6HeA7ofj367IKH+2xqkj9mJK11IUjvj3iNmrfXE+o8P7bCnhvTqI0AamQhtQSNzRR+BVGskkA077BZRny2hZ0gBbUobATf6CLTOGPKHH35waMWOHTvwk5/8BOvXr8fIkSMj2i9fvhw33HADdu7caZ9jjKFLly4J2ZcpXO+wt3b5D8JJQpmQgdgiEcfdM3SfcFqYdT2GPYm4MgHmc0a4ZMVzx2qKALeu8pGduxPU3BHg+NAOe2KQPmYnCesmEMdNHkjaFZRHTj6i25K6nyF3GpScjqfu/rkL7bAnDmlkdpJwGBGQwPgSaJGOxdEZt7oS1e0/npYlMqF3qYcRl+eJPgLpHUN26tTJ8fr+++/H8ccfjxEjRsS8hjGGrl27urtRhkl2KZ8giDyCuzwIgiDyBbf6SBpJEEQ+kYw+1tTUOI5AIBD3PsFgEC+88AKuvfZasGYWXerq6tC7d2/07NkTl1xyCb788suWPF6rQBN2giDiYq2OJnoQBEHkC2710Y1GLliwAGeccQZKSkrQuXNnTJgwweHKCQB+vx8zZ85Ehw4dUFxcjIkTJ+LQoUMpfkqCIIjkSEYfe/bsibKyMvtYsGBB3PusWbMGVVVVuPrqq2O26d+/P5YuXYpXX30VL7zwAnRdx/Dhw7F///4UPW16oAl7DsOj/Il/EY9/RKDHORLoO4rtyTxn8s8RxT0rkT6a/Vxi29nWXJ1S/FE5+OCDDzB+/Hh0794djDGsWbOmyb057rrrLnTr1g0FBQUYPXo0vvnmm9Q9HJFXRNPNuN9X11qT2MGhmUcq/2j24caWhJ7V5eeaL7jVRzcauXHjRsycORObN2/Gu+++C0VRMGbMGNTX19ttbrrpJrz++utYtWoVNm7ciAMHDuCyyy5Lw5MS+UJS3+Vkvgguvhwt1ZWUar7L/EX5rI9Acj8C+/btQ3V1tX3cfvvtce/z7LPPYty4cejevXvMNhUVFZgyZQoGDx6MESNG4JVXXkGnTp3w9NNPp+px04LrGHaCIPKPJkP6uG3dUF9fj0GDBuHaa6+NOsh88MEH8fjjj+O5555D3759ceedd2Ls2LH46quv4PMlnuiJIAgiHbjRR6t9oqxdu9bxevny5ejcuTO2bt2K8847D9XV1Xj22WexcuVKXHDBBQCMkkInnXQSNm/ebGdiJwiCyBTJjCFLS0tdJeX87rvv8N577+GVV15xZZssyxgyZAh27drl6rrWhibsBEHEJZ0JQ8aNG4dx48ZFfY9zjoULF+KOO+7AJZdcAgB4/vnn0aVLF6xZswZXXnmlu5sRBEGkmNZMOlddXQ0AaN++PQBg69atUBQFo0ePttsMGDAAvXr1wqZNm2jCThBExmmNxMXLli1D586dcfHFF7u6TtM0fPHFF7jooouSu3Er4dol/oILLsC8efMizh87dsxe3SUIoo3hxpXJFNtkEoY0Zc+ePaisrHQMRsvKyjBs2DBs2rQpRQ+XOkgfCSIPcevumaRG6rqOG2+8EWeffTZOPfVUAEBlZSU8Hg/Ky8sdbbt06YLKyso0PGzLII0kiDwkCX10g67rWLZsGaZOnQpJcu5FT5kyxeFOP3/+fPztb3/Dv//9b3z22We46qqr8N133+HXv/51Cx8yvbjeYd+wYQO++OILfP7551ixYgWKiooAGJn5Nm7cmHIDCXfEiotxVWPTbRByvO5SGKvT4vJMKbp3vpGMO1PPnj0d5+fMmYO5c+e6uq814GxaHzNbB6Okj7lLi7QzWa1JsMxm0qRYA4H81sFYJOsS71YjZ86ciR07duDDDz90a2LWQBqZm6RkbNnCe7XmfRJ9LtLDxEhnWCUAvPfee9i7dy+uvfbaiPf27t0LQQjtTx87dgzTp09HZWUl2rVrh6FDh+Ljjz/GySefnMSdW4+kks699957qKysxFlnnYVvv/02xSZF5+jRo5g8eTJKS0tRXl6OadOmoa6urtlrRo4cCcaY4/jNb37TKvYSRFuitRKGtAVIHwkiv0g2r5YbjZw1axbeeOMNrF+/Hj169LDPd+3aFcFgEFVVVY72hw4dyto6w5nQSIIgMke6knJajBkzBpxz/OhHP4p4b8OGDVi+fLn9+tFHH8V3332HQCCAyspKvPnmmxgyZEgLnq51SGrC3q1bN2zcuBGnnXYazjjjDGzYsCHFZkUyefJkfPnll3j33Xfxxhtv4IMPPsCMGTPiXjd9+nQcPHjQPh588MG020oQbQ03uaabJgyxDq/X6/q+1oCzaYmibB6Mkj4SRH7hVh/daCTnHLNmzcLq1avx/vvvo2/fvo73hw4dClmWsW7dOvvczp07sXfvXlRUVKT6UVNCJjSSFjUJInMko4+EE9cu8VYheq/Xi5UrV+Kee+7BhRdeiFtvvTXlxln885//xNq1a/Hpp5/i9NNPBwA88cQTuOiii/DHP/6x2fT9hYWFWTuwb03aottOW3ymbIVzDp7gsmei7RKhb9++6Nq1K9atW4fBgwcDMOI+P/nkE1x33XUpu0+qIH1seySqM0m5hqbBZb0lkKYmhxt9tNonysyZM7Fy5Uq8+uqrKCkpsUOBysrKUFBQgLKyMkybNg2zZ89G+/btUVpaiuuvvx4VFRVZmXAuExoJGIuaBw8etEvjXXPNNZgxYwZWrlzZ7HXTp0/H/Pnz7deFhYVptTPXaKua0VafK1NkagzZlnA9YW/6Qd5xxx046aSTMHXq1JQZ1ZRNmzahvLzcHowCwOjRoyEIAj755BNceumlMa9dsWIFXnjhBXTt2hXjx4/HnXfe2azgBgIBR+KXmpqa1DwEQeQw6czwWVdX5yinsWfPHmzbtg3t27dHr169cOONN+Kee+7BiSeeaJd16969OyZMmODuRq0A6SNB5B/pzBK/ePFiAMZubzjLli3D1VdfDcBw8RQEARMnTkQgEMDYsWPx1FNPJX6TViQTGkmLmgSRWVojS3xbx/WEfc+ePejUqZPj3MSJEzFgwABs2bIlZYaFU1lZic6dOzvOSZKE9u3bN5t46pe//CV69+6N7t27Y/v27bj11luxc+fOZmv0LViwIGoGU4LIZ9wk7nSrtVu2bMH5559vv549ezYAYOrUqVi+fDluueUW1NfXY8aMGaiqqsI555yDtWvXZmUNdtJHgsg/3CY2dtU2gd0mn8+HRYsWYdGiRS56zgyZ0MjWXNQkCCKSdI4h8wXXE/bevXtHPX/KKafglFNOcdXXbbfdhgceeKDZNv/85z9d9RlOeAznaaedhm7dumHUqFHYvXs3jj/++KjX3H777faEATB2kJpmciWIfCOdq6MjR45sdlDKGMP8+fMdbonZCulj/kIulPlLa9Zhz3VSqZGJ0lqLmuSBRBDRoR32luN6wp5Kfv/739suXbHo168funbtiu+//95xXlVVHD161JWr0rBhwwAAu3btijkg9Xq9SSXHIoi2DIlt60P6SBC5AU3YM0O2LWqSBxJBRIfGkC0noxP2Tp06RbhGRaOiogJVVVXYunUrhg4dCgB4//33oeu6PchMhG3btgEwMpQSBJE4hjtTgglD0mtK3kD6SBC5gRt9tNoTLSfbFjXJA4kgokNjyJaT0Ql7opx00km48MILMX36dCxZsgSKomDWrFm48sor7WQh//nPfzBq1Cg8//zzOPPMM7F7926sXLkSF110ETp06IDt27fjpptuwnnnnYeBAwdm+IkIIreg1dHshfSRIDIL7bBnhmxb1CQPJIKIDo0hW05SddgzwYoVKzBgwACMGjUKF110Ec455xw888wz9vuKomDnzp1oaGgAAHg8Hrz33nsYM2YMBgwYgN///veYOHEiXn/99Uw9AkHkLJy7O4jWhfSRIDKHW30kjWxdwhc1//GPf+Cjjz6Kuqg5YMAA/OMf/wAA7N69G3fffTe2bt2Kb7/9Fq+99hqmTJlCi5oEkQSkjy0nJ3bYAaB9+/bN1svs06ePI3FVz549sXHjxtYwjSDaPBwcesLuTKS2rQ3pI0FkDjf6aLUnWpcVK1Zg1qxZGDVqlF0C7/HHH7ffj7WouXDhQtTX16Nnz56YOHEi7rjjjkw9AkHkLDSGbDk5M2EnCCJzuFn1pNVRgiDyCbe7QqSRrQ8tahJE5qAxZMuhCTtBEHHRzSPRtgRBEPmCG3202hMEQeQLNIZsOTRhJwgiLpzzZmulN21LEASRL7jRR6s9QRBEvkBjyJZDE/Y4hH5w6AeIaCsYP8tuRJEyfBLRIH0k2h7p1UerPdH2IX0k2h7u9RGgMWQqoAl7HGpra81/kZMG0baora1FWVlZQm11FwlD3CRfInIb0keirZIufbTaE20f0keireJGHwEaQ6YCmrDHoXv37vjqq69w8sknY9++fSgtLc20SW2Smpoa9OzZkz7jNGJ9xnv37gVjzC5nkwgcLhKGJGcekYOQPrYOpI/pp7X00WpPtH26d++Offv2gXOOXr160fc3jZBGph/rM/7qq69c6SNAY8hUQBP2OAiCgOOOOw4AUFpaSkKQZugzTj9lZWWuP2NaHSWiQfrYutBnnH7SrY9We6LtIwgCevTogZqaGgD0/W0N6DNOP8cddxwEQXB1DY0hWw5N2AmCiAvnia96Ur4QgiDyCTf6aLUnCILIF2gM2XLcLZEQBJGXWKujiR4EQRD5glt9JI0kCCKfSKc+zp07F4wxxzFgwIBmr1m1ahUGDBgAn8+H0047DW+99VZLHq9VoAl7Ani9XsyZMwderzfTprRZ6DNOPy35jHXOXR1E/kDf3fRDn3H6aU19JI3ML+j7m37oM04/2TyGPOWUU3Dw4EH7+PDDD2O2/fjjjzFp0iRMmzYNn3/+OSZMmIAJEyZgx44dru/bmjBOBe8IgohBTU0NysrKMLrsJsgsMZFWeADvVT+K6upqiiUjCKLNkow+AqSRBEHkB60xhpw7dy7WrFmDbdu2JdT/FVdcgfr6erzxxhv2ubPOOguDBw/GkiVLEuojE9AOO0EQceEwCtMkctAKIEEQ+YQbfSSNJAgi30j3GPKbb75B9+7d0a9fP0yePBl79+6N2XbTpk0YPXq049zYsWOxadOmJO7celDSOYIg4kIZPgmCIKJDWeIJgiBik8wY0qquYOH1eqO64w8bNgzLly9H//79cfDgQcybNw/nnnsuduzYgZKSkoj2lZWV6NKli+Ncly5dUFlZmejjZASasBMEERfOOXiCYktRNgRB5BNu9NFqTxAEkS8kM4bs2bOn4/ycOXMwd+7ciPbjxo2z/z1w4EAMGzYMvXv3xksvvYRp06Ylb3SWQS7xLrn33nsxfPhwFBYWory8PNPmtBkWLVqEPn36wOfzYdiwYfjHP/6RaZPaDB988AHGjx+P7t27gzGGNWvWuO6DMiATiUD6mHpIG9NLJvSRNDJ/IY1MPaSR6SVTY8h9+/ahurraPm6//faE7lVeXo4f/ehH2LVrV9T3u3btikOHDjnOHTp0CF27dnX9XK0JTdhdEgwG8Ytf/ALXXXddpk1pM/zlL3/B7NmzMWfOHHz22WcYNGgQxo4di++//z7TprUJ6uvrMWjQICxatCjpPmgwSiQC6WNqIW1MP5nQR9LI/IU0MrWQRqafTI0hS0tLHUei2enr6uqwe/dudOvWLer7FRUVWLdunePcu+++i4qKiqSfrzWgLPFJsnz5ctx4442oqqrKtCk5z7Bhw3DGGWfgySefBADouo6ePXvi+uuvx2233ZZh69oWjDGsXr0aEyZMSKi9leHz7NKZkBLM8KnyAD6qWUQZkPMY0sfUQNrYurSGPgKkkQRpZKogjWxdsnEMefPNN2P8+PHo3bs3Dhw4gDlz5mDbtm346quv0KlTJ0yZMgXHHXccFixYAMAo6zZixAjcf//9uPjii/Hiiy/ivvvuw2effYZTTz01IRszAe2wExklGAxi69atjoyNgiBg9OjRWZ+xMZ+g3SOCaF1IG3MH2mEniNaHNDJ3SKc+7t+/H5MmTUL//v1x+eWXo0OHDti8eTM6deoEANi7dy8OHjxotx8+fDhWrlyJZ555BoMGDcLLL7+MNWvWZPVkHaCkc0SGOXz4MDRNi5qx8euvv86QVURTKEs8QbQupI25A2WJJ4jWhzQyd0jnGPLFF19s9v0NGzZEnPvFL36BX/ziF67uk2lohx3AbbfdBsZYswd9+Yl8Rnf5h2g7kD4SRPO41UfSyLYFaSRBNA/pY8uhHXYAv//973H11Vc326Zfv36tY0ye0bFjR4iimJMZG/MJzjg4S0xE3ZQ3IrIf0sfMQNqYO7jRR4A0sq1BGpkZSCNzBxpDthyasAPo1KmTHetAtC4ejwdDhw7FunXr7CQWuq5j3bp1mDVrVmaNI2y4C3cmEtu2BeljZiBtzB3c6KPVnmg7kEZmBtLI3IHGkC2HJuwu2bt3L44ePYq9e/dC0zRs27YNAHDCCSeguLg4s8blKLNnz8bUqVNx+umn48wzz8TChQtRX1+Pa665JtOmtQnq6uoc9Sj37NmDbdu2oX379ujVq1dCfejQwRJ0UyJ3pvyF9DG1kDamn9bWR6s9kZ+QRqYW0sj0Q2PI7IAm7C6566678Nxzz9mvhwwZAgBYv349Ro4cmSGrcpsrrrgCP/zwA+666y5UVlZi8ODBWLt2bUQiESI5tmzZgvPPP99+PXv2bADA1KlTsXz58oT6sHJ3JtqWyE9IH1MLaWP6aW19tNoT+QlpZGohjUw/NIbMDqgOO0EQMbFqaA4uuwYi8yR0jcaD2Fa9jGoMEwTRpklGHwHSSIIg8gMaQ6YOyhJPEERcdKa7Otwwd+7ciIy6AwYMSNOTEARBpBa3+uhWIz/44AOMHz8e3bt3B2MMa9ascbzPOcddd92Fbt26oaCgAKNHj8Y333yTwickCIJInnTqY75AE3aCIOKS7pIcp5xyCg4ePGgfH374YRqegiAIIvWku6xbfX09Bg0ahEWLFkV9/8EHH8Tjjz+OJUuW4JNPPkFRURHGjh0Lv9+fiscjCIJoEVTWreVQDDtBEHFJd8IQSZKoDAtBEDlJupPOjRs3DuPGjYv6HuccCxcuxB133IFLLrkEAPD888+jS5cuWLNmDa688kpX9yIIgkg1lHSu5dAOO0EQcbEShiR6uOWbb75B9+7d0a9fP0yePBl79+5Nw1MQBEGkHrf6mMqkSnv27EFlZSVGjx5tnysrK8OwYcOwadOmlN2HIAgiWTKlj20J2mEnCCIuOjQwaAm3BYxkI+F4vV54vd6I9sOGDcPy5cvRv39/HDx4EPPmzcO5556LHTt2oKSkpOXGEwRBpBE3+mi1BxLXyOb4/+3dfUyV9f/H8dcBQ3TgsZTADMOtJBECUlPkD3G6r1PXIhsWbhFatgJczuzOeUuWWaO0vOlmKjlTshvEFbIcBS3vSsKGTq2chDjwpqGEa6mc8/uDn8dOHjznOodzOMfzfLhr81x+zvlcF7LXPu/r+pzP1dzcLEnXrYodHR1t+zcA6E7ujCFhjzvsAJyyymrg6mjHgydiY2NlNptt2/Llyx1+9qRJk5SVlaX77rtPEydOVHl5uc6fP69t27b58hQBwC3G8tF4RgJAIHNnDAl73GEH4JTFZJHJxZU7r37/6OTJk3aP5HD1zlHfvn01ZMgQ/f7778YPFAB8zEg+Sp5n5L9dXfvj9OnTGjBggG3/6dOnlZKSYvjzAKCruTOGhD3usANwyqJ2Q5sk9enTx25zdTDa1tam48eP2w0+AcBfGc1HTzPy3wYPHqyYmBhVVlba9rW2tmr//v1KS0vrsnMEAHe5k4+wR8GOLpebm6vMzMwbtqmqqpLJZNL58+e9eiwZGRm2Z3sfPHjQq31JUlxcnK0/b5+bbxlZLMTY1dF58+apurpa9fX12rNnjx5++GGFhoYqOzvbO6cCdCPyMbjz0Z2MbGtr08GDB23/RydOnNDBgwfV0NAgk8mkOXPmaNmyZdqxY4fq6uqUk5OjO+64w+nvGeBvyMebMR8lb44hgwUFO7rcqlWrVFxcbHudkZGhOXPm2LUZM2aMmpqaZDabvX48s2bNUlNTkxITE73e108//aQvvvjC6/34msXabmgzorGxUdnZ2YqPj9e0adPUr18/7du3T1FRUV46G6D7kI/ko9GMPHDggFJTU5WamipJmjt3rlJTU7Vo0SJJ0osvvqjZs2fr6aef1siRI9XW1qaKigqFh4d3+bkC3kQ+3nz5KHl3DBks+A47upwrIRoWFuaz52737t3bZ31FRUXptttu80lfvmTkURtGH8lRUlLiziEBAYl8DO58vNreiIyMDFmtnS/EZDKZVFhYqMLCQkOfC/gb8vHmy0fJu2PIYMEd9gC2adMm9evXT//884/d/szMTD3++OMO31NfXy+TyaSSkhKNGTNG4eHhSkxMVHV1tV276upqPfDAA+rZs6cGDBigl19+WVeuXLH9++eff66kpCT16tVL/fr104QJE3Tx4kVJ9lOacnNzVV1drVWrVtmm+tTX1zuc0vTFF19o2LBh6tmzp+Li4lRUVGR3THFxcXr99dc1c+ZMRUZGatCgQfrwww8N/9yKi4vVt29fu33bt2+XyWSyvV6yZIlSUlK0YcMGDRo0SBEREcrLy1N7e7vefPNNxcTE6Pbbb9drr71muP9AZFW7oQ3obuQj+egrRvORjER3Ix/JR18iHz1HwR7AsrKy1N7erh07dtj2nTlzRl9//bVmzpx5w/e+8MILev7551VbW6u0tDQ9+OCD+vPPPyVJp06d0uTJkzVy5Ej98ssvWrdundavX69ly5ZJkpqampSdna2ZM2fqyJEjqqqq0tSpUx3eAVi1apXS0tJs04qampoUGxt7XbuamhpNmzZNjz32mOrq6rRkyRItXLjQbmqUJBUVFWnEiBGqra1VXl6enn32WR07dszoj84lx48f186dO1VRUaGtW7dq/fr1mjJlihobG1VdXa0VK1ZowYIF2r9/v1f69ycWg3+A7kY+ko++YjQfyUh0N/KRfPQl8tFzFOwBrFevXpo+fbo2btxo27d582YNGjRIGRkZN3xvQUGBHnnkEQ0dOlTr1q2T2WzW+vXrJUlr165VbGysVq9erXvvvVeZmZlaunSpioqKZLFY1NTUpCtXrmjq1KmKi4tTUlKS8vLyFBERcV0/ZrNZYWFhtmlFMTExCg0Nva7d22+/rfHjx2vhwoUaMmSIcnNzVVBQoLfeesuu3eTJk5WXl6e7775bL730kvr376/vvvvOjZ+ecxaLRRs2bFBCQoIefPBBjRs3TseOHdPKlSsVHx+vGTNmKD4+3mv9+xOeoYlAQz6Sj77i7nPYge5CPpKPvuTNMeTy5cs1cuRIRUZG6vbbb1dmZqbTCzHFxcW2WRtXN39f84OCPcDNmjVL33zzjU6dOiWp45cwNzfXbnqOI/9+3EuPHj00YsQIHTlyRJJ05MgRpaWl2X1Genq62tra1NjYqOTkZI0fP15JSUnKysrSRx99pJaWFo/O48iRI0pPT7fbl56ert9++03t7demx9x33322v5tMJsXExOjMmTMe9d2ZuLg4RUZG2l5HR0crISFBISEhdvu81b8/sVrbDW2APyAfyUdfMJqPZCT8AflIPvqKN/Oxurpa+fn52rdvn3bt2qXLly/rf//7n+1rFp3p06ePbeZGU1OT/vjjD09O0eso2ANcamqqkpOTtWnTJtXU1Ojw4cPKzc31ap+hoaHatWuXdu7cqYSEBL333nuKj4/XiRMnvNqvJN1yyy12r00mkywWY9NnQkJCrpt+dfnyZZf66or+AxHTmRCIyEfy0ReYEo9ARD6Sj77izXysqKhQbm6uhg0bpuTkZBUXF6uhoUE1NTU3fN/VizZXt+joaE9O0eso2G8CTz31lIqLi7Vx40ZNmDDB4Xd8/mvfvn22v1+5ckU1NTUaOnSoJGno0KHau3evXSjt3r1bkZGRuvPOOyV1/KKnp6dr6dKlqq2tVVhYmEpLSx32FRYWZneV05GhQ4dq9+7ddvt2796tIUOGOJwC5YmoqCj99ddfdlfffPGMzUDGgiEIVOSjMeSjcSw6h0BFPhpDPrrHnXxsbW212/67QGJnLly4IElOV9xva2vTXXfdpdjYWD300EM6fPiwZyfpZRTsN4Hp06ersbFRH330kdPFQq5as2aNSktLdfToUeXn56ulpcX23ry8PJ08eVKzZ8/W0aNHVVZWpsWLF2vu3LkKCQnR/v379frrr+vAgQNqaGjQl19+qbNnz9oC+7/i4uK0f/9+1dfX69y5cw6vKD7//POqrKzUq6++ql9//VUff/yxVq9erXnz5rn/g+nEqFGj1Lt3b82fP1/Hjx/Xli1brlucBPasVouhDfAX5KMx5KNxRvORjIS/IB+NIR/d404+xsbGymw227bly5c77cdisWjOnDlKT09XYmJip+3i4+O1YcMGlZWVafPmzbJYLBozZowaGxu77Jy7GgX7TcBsNuuRRx5RRESE7XEYzrzxxht64403lJycrB9++EE7duxQ//79JUkDBw5UeXm5fvzxRyUnJ+uZZ57Rk08+qQULFkjq+N7H999/r8mTJ2vIkCFasGCBioqKNGnSJId9zZs3T6GhoUpISFBUVJQaGhqua3P//fdr27ZtKikpUWJiohYtWqTCwkKvTM+67bbbtHnzZpWXlyspKUlbt27VkiVLuryfmwnTPRGoyEdjyEfjmBKPQEU+GkM+usedfDx58qQuXLhg21555RWn/eTn5+vQoUMqKSm5Ybu0tDTl5OQoJSVFY8eO1ZdffqmoqCh98MEHXXK+3mCyOnqWAgLO+PHjNWzYML377rs3bFdfX6/BgwertrZWKSkpvjm4bpSRkaGUlBStXLnSZ31WVVVp3Lhxamlpue55nYGmtbVVZrNZ/SJHKMTUw6X3WKxX9OdfB3ThwgX16dPHy0cIOEc+OkY+esadfJTISPgX8tEx8tFzvhxDFhQUqKysTN9//70GDx5s+FizsrLUo0cPbd261fB7fYE77AGupaVFpaWlqqqqUn5+fncfjl9au3atIiIiVFdX5/W+hg0b1umV4kDGY90QiMhH58hHz/FYNwQi8tE58rFreHMMabVaVVBQoNLSUn377bduFevt7e2qq6vTgAEDDL/XV1y/JAy/lJqaqpaWFq1YsULx8fHdfTh+55NPPtHff/8tSRo0aJDX+ysvL7etGHoz3TmxWi2y6saPevl3W8AfkI83Rj52DSP5eLU90N3IxxsjH7uON8eQ+fn52rJli8rKyhQZGanm5mZJHV/36NWrlyQpJydHAwcOtH0PvrCwUKNHj9bdd9+t8+fP66233tIff/yhp556ylDfvkTBHuDq6+sNtY+Li7vukRQ3s4EDB/q0v7vuusun/flOu4FrnqyADP9APt4Y+dhVjORjR3ugu5GPN0Y+diXvjSHXrVsnqeMrDP+2ceNG2zoGDQ0NCgm5Nqm8paVFs2bNUnNzs2699VYNHz5ce/bsUUJCgqG+fYmCHYBTHVc8ucMOAP9lJB+vtQeA4ODNMaQrF5GqqqrsXr/zzjt65513DPXT3SjYAThFwQ4AjlGwA0DnGEN6joIdgFMWWWRyNWx5ZBGAIGIkHyUyEkBwYQzpOQp2AE5xdRQAHOMOOwB0jjGk5yjYAThltbq+CIiRtgAQ6IxmHhkJIJgwhvQcBTsApzqei+naVU+eMQwgmBjJx2vtASA4MIb0HAU7AKeMTFFiOhOAYGJ8VWMyEkDwYAzpOQp2AE4RtgDgGAU7AHSOMaTnKNgBOGVk1U5W+AQQTIxmHhkJIJgwhvQcBTsAp7g6CgCOcYcdADrHGNJzFOwAnCJsAcAxCnYA6BxjSM9RsANwgZEAJWwBBBOjmUdGAggmjCE9RcEOwCmujgKAY9xhB4DOMYb0HAU7AKdYMAQAHGPROQDoHGNIz1GwA3DKarXK1WlKHW0BIDgYycdr7QEgODCG9BwFOwAXtEsyudiWsAUQTIzko0RGAggujCE9RcEOwKmO7xS5FrZcHQUQTIzkY0d7MhJA8GAM6TkKdgAuMDIgJWwBBBNjBTsZCSC4MIb0FAU7AOeM3EHi6iiAYGLwDjsZCSCoMIb0WEh3HwAA/2c1+Mcda9asUVxcnMLDwzVq1Cj9+OOPXXwWAND1jOajOxlJPgIIVP6Wj5999pnuvfdehYeHKykpSeXl5e6ems9QsANwgcXgZsynn36quXPnavHixfr555+VnJysiRMn6syZM111AgDgJUbz0VhGko8AApv/5OOePXuUnZ2tJ598UrW1tcrMzFRmZqYOHTrk9tn5gsnKt/sBdKK1tVVms1lSD5lcXTBEVklXdOHCBfXp08el94waNUojR47U6tWrJUkWi0WxsbGaPXu2Xn75ZTePHgC8x518lIxnJPkIIBD5YgxpNB8fffRRXbx4UV999ZVt3+jRo5WSkqL333/fpWPsDtxhB+ACI1OZjF0DvHTpkmpqajRhwgTbvpCQEE2YMEF79+7t4vMAgK5mdLqn6xlJPgIIfP6Tj3v37rVrL0kTJ070+zxl0TkALjJWiLe2ttq97tmzp3r27Hldu3Pnzqm9vV3R0dF2+6Ojo3X06FHjhwkAPmd8sqIrGUk+Arg5dP0Y0p18bG5udti+ubnZ0PH5GnfYAXQqLCxMMTExktoNbREREYqNjZXZbLZty5cv756TAAAvcDcfyUgAwYAxZNfhDjuAToWHh+vEiRO6dOmSofdZrVaZTPbfV3J0d12S+vfvr9DQUJ0+fdpu/+nTp/8/6AHA/7ibj5LrGUk+AghU3h5DupOPMTExAZmnFOwAbig8PFzh4eFe+/ywsDANHz5clZWVyszMlNSxaEhlZaUKCgq81i8AeIp8BIDOeTMj3cnHtLQ0VVZWas6cObZ9u3btUlpamleOsatQsAPodnPnztUTTzyhESNG6IEHHtDKlSt18eJFzZgxo7sPDQC6FfkIAI45y8ecnBwNHDjQNqX+ueee09ixY1VUVKQpU6aopKREBw4c0Icfftidp+EUBTuAbvfoo4/q7NmzWrRokZqbm5WSkqKKiorrFgYBgGBDPgKAY87ysaGhQSEh15ZsGzNmjLZs2aIFCxZo/vz5uueee7R9+3YlJiZ21ym4hOewAwAAAADgh1glHgAAAAAAP0TBDgAAAACAH6JgBwAAAADAD1GwAwAAAADghyjYAQAAAADwQxTsAAAAAAD4IQp2AAAAAAD8EAU7AAAAAAB+iIIdAAAAAAA/RMEOAAAAAIAfomAHAAAAAMAPUbADAAAAAOCH/g/ujBoHla+UdAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 1000x300 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f, (ax1, ax2, ax3) = plt.subplots(1, 3, tight_layout=True, figsize=(10, 3))\n",
    "abs(mode_data.Ex.isel(mode_index=0)).plot(x=\"y\", y=\"z\", ax=ax1, cmap=\"magma\")\n",
    "abs(mode_data.Ey.isel(mode_index=0)).plot(x=\"y\", y=\"z\", ax=ax2, cmap=\"magma\")\n",
    "abs(mode_data.Ez.isel(mode_index=0)).plot(x=\"y\", y=\"z\", ax=ax3, cmap=\"magma\")\n",
    "\n",
    "ax1.set_title(\"|Ex(x, y)|\")\n",
    "ax1.set_aspect(\"equal\")\n",
    "ax2.set_title(\"|Ey(x, y)|\")\n",
    "ax2.set_aspect(\"equal\")\n",
    "ax3.set_title(\"|Ez(x, y)|\")\n",
    "ax3.set_aspect(\"equal\")\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7e904938",
   "metadata": {},
   "source": [
    "Now that we verified all the settings, we are ready to submit the simulation job to the server."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "15e791dd",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-27T23:47:06.525276Z",
     "iopub.status.busy": "2023-03-27T23:47:06.525074Z",
     "iopub.status.idle": "2023-03-27T23:48:54.178263Z",
     "shell.execute_reply": "2023-03-27T23:48:54.177662Z"
    }
   },
   "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\">[10:04:25] </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'y_junction'</span> with task_id <span style=\"color: #008000; text-decoration-color: #008000\">'fdve-5b418120-65ed-44a6-ae4e-3f143f2a9081v1'</span>.      <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#139\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">139</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[10:04:25]\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'y_junction'\u001b[0m with task_id \u001b[32m'fdve-5b418120-65ed-44a6-ae4e-3f143f2a9081v1'\u001b[0m.      \u001b]8;id=285438;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=65030;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#139\u001b\\\u001b[2m139\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "ad54c2b6bf3b4c1e82b4616cca930c5d",
       "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\">\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\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\">[10:04:30] </span>status = queued                                                                            <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#269\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">269</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[10:04:30]\u001b[0m\u001b[2;36m \u001b[0mstatus = queued                                                                            \u001b]8;id=453994;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=308589;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#269\u001b\\\u001b[2m269\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
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       "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\">[10:04:34] </span>status = preprocess                                                                        <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#263\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">263</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[10:04:34]\u001b[0m\u001b[2;36m \u001b[0mstatus = preprocess                                                                        \u001b]8;id=373573;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=674821;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#263\u001b\\\u001b[2m263\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
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    },
    {
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      "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": {},
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    {
     "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\">[10:04:39] </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.172</span>. Use <span style=\"color: #008000; text-decoration-color: #008000\">'web.real_cost(task_id)'</span> to get the billed FlexCredit cost <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#286\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">286</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span>after a simulation run.                                                                    <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[10:04:39]\u001b[0m\u001b[2;36m \u001b[0mMaximum FlexCredit cost: \u001b[1;36m0.172\u001b[0m. 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 FlexCredit cost \u001b]8;id=334745;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=692435;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#286\u001b\\\u001b[2m286\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m           \u001b[0mafter a simulation run.                                                                    \u001b[2m             \u001b[0m\n"
      ]
     },
     "metadata": {},
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    },
    {
     "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>starting up solver                                                                         <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#290\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">290</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mstarting up solver                                                                         \u001b]8;id=323489;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=184223;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#290\u001b\\\u001b[2m290\u001b[0m\u001b]8;;\u001b\\\n"
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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>running solver                                                                             <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#300\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">300</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mrunning solver                                                                             \u001b]8;id=182792;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=29732;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#300\u001b\\\u001b[2m300\u001b[0m\u001b]8;;\u001b\\\n"
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     },
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       "Output()"
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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\">[10:05:50] </span>early shutoff detected, exiting.                                                           <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#313\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">313</span></a>\n",
       "</pre>\n"
      ],
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       "\u001b[2;36m[10:05:50]\u001b[0m\u001b[2;36m \u001b[0mearly shutoff detected, exiting.                                                           \u001b]8;id=137222;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=575200;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#313\u001b\\\u001b[2m313\u001b[0m\u001b]8;;\u001b\\\n"
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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\"></pre>\n"
      ],
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     },
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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\">\n",
       "</pre>\n"
      ],
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       "\n"
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      "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                                                                       <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#330\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">330</span></a>\n",
       "</pre>\n"
      ],
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       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mstatus = postprocess                                                                       \u001b]8;id=320393;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=965435;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#330\u001b\\\u001b[2m330\u001b[0m\u001b]8;;\u001b\\\n"
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       "Output()"
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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\">[10:06:03] </span>status = success                                                                           <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#337\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">337</span></a>\n",
       "</pre>\n"
      ],
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       "\u001b[2;36m[10:06:03]\u001b[0m\u001b[2;36m \u001b[0mstatus = success                                                                           \u001b]8;id=544500;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=939289;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#337\u001b\\\u001b[2m337\u001b[0m\u001b]8;;\u001b\\\n"
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       "Output()"
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       "</pre>\n"
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       "\n"
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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\">[10:06:06] </span>loading SimulationData from data/simulation_data.hdf5                                      <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#512\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">512</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[10:06:06]\u001b[0m\u001b[2;36m \u001b[0mloading SimulationData from data/simulation_data.hdf5                                      \u001b]8;id=125760;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=830531;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#512\u001b\\\u001b[2m512\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
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    }
   ],
   "source": [
    "job = web.Job(simulation=sim, task_name=\"y_junction\", verbose=True)\n",
    "sim_data = job.run(path=\"data/simulation_data.hdf5\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fec4554c",
   "metadata": {},
   "source": [
    "## Result Visualization "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "17041534",
   "metadata": {},
   "source": [
    "After the simulation is complete, we first inspect the insertion loss. Within this wavelength range, we see that the insertion loss is generally below 0.2 dB."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "04666ade",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-27T23:48:55.903495Z",
     "iopub.status.busy": "2023-03-27T23:48:55.903357Z",
     "iopub.status.idle": "2023-03-27T23:48:56.100573Z",
     "shell.execute_reply": "2023-03-27T23:48:56.100062Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "T = sim_data[\"flux\"].flux  # transmission to the top waveguide\n",
    "plt.plot(ldas, -10 * np.log10(2 * T))\n",
    "plt.xlim(1.5, 1.6)\n",
    "plt.ylim(0, 0.5)\n",
    "plt.xlabel(\"Wavelength ($\\mu m$)\")\n",
    "plt.ylabel(\"Insertion loss (dB)\")\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9d9e0403",
   "metadata": {},
   "source": [
    "We can also visualize the field distribution. Here we can see the interference in the junction while no visible higher order modes are excited at the output waveguides."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "e44e8128",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-27T23:48:56.102690Z",
     "iopub.status.busy": "2023-03-27T23:48:56.102524Z",
     "iopub.status.idle": "2023-03-27T23:48:57.648019Z",
     "shell.execute_reply": "2023-03-27T23:48:57.647600Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sim_data.plot_field(\n",
    "    field_monitor_name=\"field\", field_name=\"E\", val=\"abs^2\", f=freq0, vmin=0, vmax=2000\n",
    ")\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "016a3a86",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  },
  "widgets": {
   "application/vnd.jupyter.widget-state+json": {
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