{
 "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 gdstk\n",
    "\n",
    "import tidy3d as td\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). 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` 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": {
      "image/png": "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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": [
    "For the output waveguide bends, 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 for similar performance. To define the bends, the most convenient way is to use `gdstk`. First compute the $x$ and $y$ coordinates of the bend, then define a `FlexPath` and add it to a gds cell. The paths in the cell can be converted to Tidy3D [PolySlabs](../_autosummary/tidy3d.PolySlab.html) using the `from_gds` method."
   ]
  },
  {
   "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",
    "\n",
    "x = np.linspace(\n",
    "    x_start, x_start + l_bend, 100\n",
    ")  # x coordinates of the top edge vertices\n",
    "\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 - w1/2\n",
    ")  # y coordinates of the top edge vertices\n",
    "\n",
    "# adding the last point to include the straight waveguide at the output\n",
    "x = np.append(x, inf_eff)\n",
    "y = np.append(y, y[-1])\n",
    "\n",
    "# add path to the cell\n",
    "cell = gdstk.Cell(\"bends\")\n",
    "cell.add(gdstk.FlexPath(x + 1j * y, w1, layer=1, datatype=0))  # top waveguide bend\n",
    "cell.add(gdstk.FlexPath(x - 1j * y, w1, layer=1, datatype=0))  # bottom waveguide bend\n",
    "\n",
    "# define top waveguide bend structure\n",
    "wg_bend_1 = td.Structure(\n",
    "    geometry=td.PolySlab.from_gds(\n",
    "        cell,\n",
    "        gds_layer=1,\n",
    "        axis=2,\n",
    "        slab_bounds=(0, t),\n",
    "    )[0], \n",
    "    medium=si\n",
    ")\n",
    "\n",
    "# define bottom waveguide bend structure\n",
    "wg_bend_2 = td.Structure(\n",
    "    geometry=td.PolySlab.from_gds(\n",
    "        cell,\n",
    "        gds_layer=1,\n",
    "        axis=2,\n",
    "        slab_bounds=(0, t),\n",
    "    )[1], \n",
    "    medium=si\n",
    ")\n",
    "\n",
    "# plot the top waveguide bend to visualize\n",
    "ax = wg_bend_1.plot(z=t / 2)\n",
    "ax.set_xlim(2, 10)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fecdf772",
   "metadata": {},
   "source": [
    "Lastly, define the straight input waveguide using [Box]((../_autosummary/tidy3d.Box.html)."
   ]
  },
  {
   "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",
    "# the entire model is the collection of all structures defined so far\n",
    "y_junction = [wg_in, junction, wg_bend_1, wg_bend_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 [ModeMonitor](../_autosummary/tidy3d.ModeMonitor.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_spec = td.ModeSpec(num_modes=1, target_neff=n_si)\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=mode_spec,\n",
    "    mode_index=0,\n",
    ")\n",
    "\n",
    "# add a mode monitor to measure transmission at the output waveguide\n",
    "mode_monitor = td.ModeMonitor(\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",
    "    mode_spec=mode_spec,\n",
    "    name=\"mode\",\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=[mode_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_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": "iVBORw0KGgoAAAANSUhEUgAAA+wAAAEiCAYAAABjpFhlAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAACsNklEQVR4nOydeZxT1fn/P+cuWWZnX2RXC7iwFBUHFVCoiEu1UreioFL41YJVqXXpV2XRikuruCBoK6Bfma8tVnDHIgJWBSsodatUKQoWBhWYfZLc5fz+uEtyJ8kkN5NMksnz5nVfkJtzz31umHzmLM/COOccBEEQBEEQBEEQBEHkFEK2DSAIgiAIgiAIgiAIIhqasBMEQRAEQRAEQRBEDkITdoIgCIIgCIIgCILIQWjCThAEQRAEQRAEQRA5CE3YCYIgCIIgCIIgCCIHoQk7QRAEQRAEQRAEQeQgNGEnCIIgCIIgCIIgiByEJuwEQRAEQRAEQRAEkYNI2TaAIIjcJhAIIBQKubrG4/HA5/NlyCKCIIjcIBV9BEgjCYIoDGgMmR5owk4QRFwCgQAGDjwC1dWHXF3Xs2dP7N69mwSXIIgOS6r6CJBGEgTR8aExZPqgCTtBEHEJhUKorj6Er3Y/i7KyoqSuqatrwoCBlyIUCpHYEgTRYUlFHwHSSIIgCgMaQ6YPmrATBJGQshIfykr8yTXW9cwaQxAEkUO40keANJIgiIKCxpBthybsBEEkRteTF1ESW4IgCgk3+mi1JwiCKBRoDNlmaMJOEERiODeOZNsSBEEUCm700WpPEARRKNAYss1QWTeCIBKj8/AKacKDxJYgiALClT6618j//ve/uPzyy9GlSxf4/X4cf/zx2LZtm/0+5xx33HEHevXqBb/fj4kTJ+KLL75I91MSBEGkBo0h2wxN2AmCSIyrwSi5MxEEUUC41UcXGnn48GGccsopkGUZr732Gj777DP84Q9/QKdOnew29913Hx5++GEsW7YM7733HoqLizFp0iQEAoFMPC1BEIQ7aAzZZmjCThBEYjIotkuXLsWwYcNQVlaGsrIyVFZW4rXXXrPfDwQCmD17Nrp06YKSkhJMmTIFBw4cSPcTEgRBpEYGJ+z33nsv+vbtixUrVuCkk07CwIEDceaZZ+LII48EYOyuL168GLfddhvOP/98DBs2DE8//TT27duHtWvXZuiBCYIgXEAT9jZDE3aCIBKTQbHt06cP7rnnHmzfvh3btm3DGWecgfPPPx+ffvopAOCGG27ASy+9hNWrV2Pz5s3Yt28fLrzwwkw8JUEQhHsyOGF/8cUXccIJJ+Ciiy5C9+7dMXLkSPzxj3+039+9ezeqq6sxceJE+1x5eTlGjx6NLVu2pPUxCYIgUoIm7G2Gks4RBJEY7kJEuTuxPe+88xyvf/e732Hp0qXYunUr+vTpgyeffBJVVVU444wzAAArVqzA0KFDsXXrVpx88smu7kUQBJF23Oij1R5AXV2d47TX64XX63Wc+89//oOlS5di7ty5+O1vf4v3338fv/rVr+DxeDB9+nRUV1cDAHr06OG4rkePHvZ7BEEQWSWDY8hCgXbYCYJICOO6qwMwBqORRzAYTHgfTdPw7LPPorGxEZWVldi+fTsURXHsHg0ZMgT9+vWj3SOCIHICt/poaWTfvn1RXl5uH4sWLYrqW9d1/PCHP8Tdd9+NkSNHYtasWZg5cyaWLVvW3o9JEASREqnoI+GEdtgJgkiMGzclPTwYjWTevHmYP39+zEs+/vhjVFZWIhAIoKSkBGvWrMExxxyDHTt2wOPxoKKiwtGedo8IgsgZ3Lpxmm337t2LsrIy+3TL3XUA6NWrF4455hjHuaFDh+Kvf/0rAKBnz54AgAMHDqBXr152mwMHDmDEiBHJ20QQBJEpUhhDEk5owk4QRGJ0nnypDbNdMoNRi8GDB2PHjh2ora3Fc889h+nTp2Pz5s1tMpkgCKJdcKOPVnvATrTZGqeccgp27tzpOPfvf/8b/fv3BwAMHDgQPXv2xIYNG+wJel1dHd577z1cc801ydtEEASRKVIYQxJOaMJOEERiUlgdTWYwauHxeHDUUUcBAEaNGoX3338fDz30EC655BKEQiHU1NQ4dtkPHDhg7ywRBEFklRR32JPhhhtuwJgxY3D33Xfj4osvxj/+8Q888cQTeOKJJwAAjDFcf/31uOuuu3D00Udj4MCBuP3229G7d29ccMEFLh+EIAgiA9AOe5uhCTtBEIlpZ7HVdR3BYBCjRo2CLMvYsGEDpkyZAgDYuXMn9uzZg8rKyjbfhyAIos1kcMJ+4oknYs2aNbj11luxcOFCDBw4EIsXL8bUqVPtNjfddBMaGxsxa9Ys1NTU4NRTT8W6devg8/ncPAVBEERmoAl7m6EJO0EQieE8+cyd3J0706233orJkyejX79+qK+vR1VVFTZt2oTXX38d5eXlmDFjBubOnYvOnTujrKwM1157LSorKylDPEEQuYEbfbTau+Dcc8/FueeeG/d9xhgWLlyIhQsXuuqXIAiiXcjgGLJQoAk7QRCJyeDq6Lfffotp06Zh//79KC8vx7Bhw/D666/jRz/6EQDgwQcfhCAImDJlCoLBICZNmoTHHnvM7RMQBEFkhgzusBMEQeQ9tMPeZmjCThBEYjKYMOTJJ59s9X2fz4clS5ZgyZIlrvolCIJoF1JMOkcQBFEQUNK5NkMTdoIgEkOrowRBELGhHXaCIIj40BiyzdCEnSCIxHAXYusmlpMgCCLfcaOPVnuCIIhCgcaQbYYm7ARBJITpOliSYptsO4IgiI6AG3202hMEQRQKNIZsOzRhJwgiMZwnn7mTMnwSBFFIuNFHqz1BEEShQGPINiNk2wCCIPIAK/4o2YMgCKJQcKuPpJEEQRQSGdTHRYsW4cQTT0RpaSm6d++OCy64ADt37nS0CQQCmD17Nrp06YKSkhJMmTIFBw4caLVfzjnuuOMO9OrVC36/HxMnTsQXX3zh+tHTBU3YCYJIDA1GCYIgYkMTdoIgiPhkUB83b96M2bNnY+vWrVi/fj0URcGZZ56JxsZGu80NN9yAl156CatXr8bmzZuxb98+XHjhha32e9999+Hhhx/GsmXL8N5776G4uBiTJk1CIBBI6SNoK+QSTxAEQRAEQRAEQeQV69atc7xeuXIlunfvju3bt2Ps2LGora3Fk08+iaqqKpxxxhkAgBUrVmDo0KHYunUrTj755Kg+OedYvHgxbrvtNpx//vkAgKeffho9evTA2rVrcemll2b+wVpAO+wEQSTGqqGZ7EEQBFEouNVH0kiCIAqJFPSxrq7OcQSDwaRuVVtbCwDo3LkzAGD79u1QFAUTJ0602wwZMgT9+vXDli1bYvaxe/duVFdXO64pLy/H6NGj416TaWjCThBEYsjdkyAIIjbkEk8QBBGfFPSxb9++KC8vt49FixYlcRsd119/PU455RQcd9xxAIDq6mp4PB5UVFQ42vbo0QPV1dUx+7HO9+jRI+lrMg25xBMEkRidJz/IpN0jgiAKCTf6aLUnCIIoFFIYQ+7duxdlZWX2aa/Xm/DS2bNn45NPPsHbb7+dkpm5DO2wEwSRGKskR7IHQRBEoeBWH0kjCYIoJFLQx7KyMseRaMI+Z84cvPzyy9i4cSP69Oljn+/ZsydCoRBqamoc7Q8cOICePXvG7Ms63zKTfGvXZBqasBMEkRhy9yQIgogNucQTBEHEJ4P6yDnHnDlzsGbNGrz55psYOHCg4/1Ro0ZBlmVs2LDBPrdz507s2bMHlZWVMfscOHAgevbs6bimrq4O7733XtxrMg25xBMEkRjuIlES7R4RBFFIuNFHqz1BEEShkMEx5OzZs1FVVYUXXngBpaWldox5eXk5/H4/ysvLMWPGDMydOxedO3dGWVkZrr32WlRWVjoyxA8ZMgSLFi3CT37yEzDGcP311+Ouu+7C0UcfjYEDB+L2229H7969ccEFF7iyL13QhJ0giMS4WfWk3SOCIAoJt7tCpJEEQRQSGRxDLl26FAAwfvx4x/kVK1bgyiuvBAA8+OCDEAQBU6ZMQTAYxKRJk/DYY4852u/cudPOMA8AN910ExobGzFr1izU1NTg1FNPxbp16+Dz+VzZly5owk4QRGJowk4QBBEbmrATBEHEJ4NjSJ7EjrzP58OSJUuwZMmSpPthjGHhwoVYuHChK3syBU3YCYJIjJvawZQBmSCIQsJtbXXSSIIgCgkaQ7YZmrATBJEYrhtHsm0JgiAKBTf6aLUnCIIoFGgM2WZowk4QRGJodZQgCCI2tMNOEAQRHxpDthmasBMEkRiKYScIgogNxbATBEHEh8aQbYYm7ARBJIZWRwmCIGJDO+wEQRDxoTFkm6EJO0EQidG5i9VREluCIAoIN/potScIgigUaAzZZmjCThBEYmh1lCAIIja0w04QBBEfGkO2GZqwEwSRBG6yIFP8EUEQhYTLLPGkkQRBFBQ0hmwrNGEnCCIxtDpKEAQRG9phJwiCiA+NIdsMTdgJgkgMiS1BEERsaMJOEAQRHxpDthmasBMEkRgqyUEQBBEbKutGEAQRHxpDthmasBMEkRhaHSUIgogN7bATBEHEh8aQbYYm7ARBJIbEliAIIjY0YScIgogPjSHbjJBtA4jsMmDAAMyfP79d7vXLX/4SP/rRj9rlXok4+eSTcdNNN8V8b/z48bjyyivb16Bcx3JnSvYgiA4A6WM0pI8xcKuPpJFEB6G9NPLss8/GzJkzM36fRCiKgr59++Kxxx6L+X57/s7IK0gf2wxN2Ikoxo8fD8ZYzGPIkCEp9bl792786U9/wm9/+9s0W5saN998M5YsWYLq6upsm5IfcO7uIIgOCukjEYVbfXShkfPnz2/15ywQCGD27Nno0qULSkpKMGXKFBw4cCATT0kQSZFujXznnXfwt7/9DTfffHMGrHWHLMuYO3cufve73yEQCGTbnPyBxpBthlziiZj06dMHixYtijpfXl6eUn8PPfQQBg4ciNNPP72tpqWF888/H2VlZXjsscewcOHCbJuT+5A7E0HYkD4SDjLsEn/sscfijTfesF9LUnjodsMNN+CVV17B6tWrUV5ejjlz5uDCCy/EO++84+oeBJFO0qmR999/PyZMmICjjjoqHaa1mauuugq33HILqqqqcPXVV2fbnPyAxpBthibsREzKy8tx+eWXp6UvRVGwatUq/OIXv0hLf+lAEAT89Kc/xdNPP40FCxaAMZZtk3KbDIrtokWL8Pzzz+Pzzz+H3+/HmDFjcO+992Lw4MF2m/Hjx2Pz5s2O6/7f//t/WLZsmat7EUQ6IH0kHGR4wi5JEnr27Bl1vra2Fk8++SSqqqpwxhlnAABWrFiBoUOHYuvWrTj55JNd3Ycg0kW6NPLbb7/FK6+8klO/6ysqKnDmmWdi5cqVNGFPFpqwtxlyiSdSorm5GUOGDMGQIUPQ3Nxsnz906BB69eqFMWPGQNM0AMDbb7+N77//HhMnTnT0MX36dPh8PvzrX/9ynJ80aRI6deqEffv2ubJp3rx5kGUZ3333XdR7s2bNQkVFhcOF6Uc/+hG+/vpr7Nixw9V9ChLuIvaIu4s/2rx5M2bPno2tW7di/fr1UBQFZ555JhobGx3tZs6cif3799vHfffdl84nJIi0sXHjRjDGsGbNmqj3qqqqwBjDli1bAJA+dgjc6GMKGvnFF1+gd+/eGDRoEKZOnYo9e/YAALZv3w5FURw/O0OGDEG/fv3sny+CyEW++uqruG7zkQuEr7zyClRVdfyMc85x+umno1u3bvj222/t86FQCMcffzyOPPLIqPFDIqZPn46uXbtCUZSo984880zHBgJg6OPbb7+NQ4cOubpPwZLBMWShQBN2IiaapuH777+POiwR9Pv9eOqpp/Dll1/if/7nf+zrZs+ejdraWqxcuRKiKAIA3n33XTDGMHLkSMc9HnroIXTr1g3Tp0+3J/ePP/44/va3v+GRRx5B7969Xdl8xRVXQFVV/PnPf3acD4VCeO655zBlyhT4fD77/KhRowCAXAeTwVodTfZwwbp163DllVfi2GOPxfDhw7Fy5Urs2bMH27dvd7QrKipCz5497aOsrCydT0gQSZNIH8ePH4++ffti1apVUdeuWrUKRx55JCorKwGQPnYI3OqjqZF1dXWOIxgMRnU9evRorFy5EuvWrcPSpUuxe/dunHbaaaivr0d1dTU8Hg8qKioc1/To0YPyDxBZJZFGduvWDf/7v//rOJYvX47y8nJ069bN7ufdd99Fly5d0L9/f/scYwzLly9HIBBweCbNmzcPn376KVasWIHi4mJX9l5xxRU4ePAgXn/9dcf56upqvPnmm1HeAqNGjQLnHO+++66r+xQsGRxDvvXWWzjvvPPQu3dvMMawdu1ax/vxFoXuv//+uH0myh2SDWjCTsTk888/R7du3aKOX//613ab0aNH46abbsJDDz2Ev//973juuefw7LPPYtGiRfjBD37g6Ktz585RE6yKigo8+eSTeP/993HPPfdg9+7duPHGG3HBBRek5Ep11FFHobKyEs8884zj/CuvvILDhw/jiiuucJw/4ogj4PF48Nlnn7m+V8Ghw4XYGpckMxiNRW1tLQCgc+fOjvOrVq1C165dcdxxx+HWW29FU1NTOp+QIJImkT4yxnD55Zfj5Zdftn+eAeC7777D3/72N4e+kT52AFzpY1gj+/bti/LycvuIFfM7efJkXHTRRRg2bBgmTZqEV199FTU1NfjLX/7Svs9IEC5IpJHFxcW4/PLLHce2bdvQ0NDgWFT8/PPPMWDAgKj+Bw4ciD/84Q9Ys2YNVq1ahffeew/3338/rrvuOowdO9a1vWeccQb69OkTpY//93//B13XozR30KBBAED6mCwpjCGTpbGxEcOHD8eSJUtivh/pmbl//34sX74cjDFMmTKl1X6PPfZYx3Vvv/22O8PSDMWwEzEZMGAA/vjHP0ad79Onj+P1/Pnz8fLLL2P69OloaGjAuHHj8Ktf/crR5uDBg+jUqVPM+5x55pn4f//v/2HhwoV47rnn4PP58Pjjj6ds97Rp03DNNddg165dOPLIIwEYE72+ffti3LhxUe07deqE77//PuX7FQwpxB/17dvXcXrevHkJy53ouo7rr78ep5xyCo477jj7/M9+9jP0798fvXv3xkcffYSbb74ZO3fuxPPPP+/qMQgiHSSjj9OmTcOiRYvw3HPPYcaMGQCAP//5z1BV1TH4I33sAKQYw753717HQo3X6014aUVFBX7wgx/gyy+/xI9+9COEQiHU1NQ4dtkPHDgQM+adINqLZMeQFk8//TQee+wx/OEPf3Ak3zx48CCOOOKImNfMmjULzz//PK699lp07doVRx55JO6+++6U7BUEAVOnTsXDDz+M+vp6lJaWAjD0ccyYMRg4cKCjvaXZpI9JksEY9smTJ2Py5Mlx32+phS+88AJOP/10e9ElHvFyh2QLmrATMSkuLo6KqYyFx+PB8uXLceKJJ8Ln82HFihUxExTxVso0/P73v8cLL7yAHTt2oKqqCt27d0/Z7ksuuQTXX389Vq1ahTvuuAO1tbV4+eWXccMNN8S1ixIqJYbrHDxJEeVtGIzOnj0bn3zySdRK5qxZs+x/H3/88ejVqxcmTJjgmHgQRHuRjD4OGTIEJ554IlatWmVP2FetWoWTTz45Ktsx6WN+40YfrfYAUFZW5jq0p6GhAbt27cIVV1yBUaNGQZZlbNiwwd4t2rlzJ/bs2WOHXBBENkh2DAkAO3bswC9+8QtcdtllmDt3btT7renjk08+iSOPPBJffPEF3n33Xfj9/pRtnjZtGu69916sWbMG06ZNw86dO7F9+/aYCe8sm0gfkyOVMWQmOHDgAF555RU89dRTCdtauUN8Ph8qKyuxaNEi9OvXL2O2JYJc4ok2Y8X8BAIBfPHFF1Hvd+nSBYcPH457/YcffmgnDvn444/bZEunTp1w7rnn2rGjzz33HILBYFwX0pqaGnTt2rVN9ywIUqihaQ1GrSPRhH3OnDl4+eWXsXHjxrir8BajR48GAHz55ZfpeT6CyADTpk3D5s2b8c0332DXrl3YunVrlBaRPnYAMliH/cYbb8TmzZvx1Vdf4d1338VPfvITiKKIyy67DOXl5ZgxYwbmzp2LjRs3Yvv27bjqqqtQWVlJGeKJvODw4cOYMmUKfvCDH+BPf/pT1PuJ9HHTpk12uF1b9fGYY47BqFGjbLf4Z555Bh6PBxdffHFMuwGQPiZLCvqYalhlazz11FMoLS3FhRde2Gq71nKHZAuasBNt4qOPPsLChQtx1VVXYeTIkfj5z3/uiNkEjJ2mw4cPR50HjNiTq666CscccwxmzZqF++67D++//36bbJo2bRr+/e9/4/3338eqVaswcuRIHHvssVHt/vvf/yIUCmHo0KFtul9BkMGEIZxzzJkzB2vWrMGbb74Z5XoWCytzda9evVJ5GoJoFy699FKIooj/+7//w6pVqyDLMi655BJHG9LHDkCKSeeS4ZtvvsFll12GwYMH4+KLL0aXLl2wdetWOzHXgw8+iHPPPRdTpkzB2LFj0bNnTwoVIvICXdcxdepU1NTUYM2aNSgqKopqM2TIEOzevTvm9fv378e1116LM888E+eeey5uvPFGfP31122yadq0aXjzzTexf/9+VFVV4ZxzzokZsmTZRPqYJCnoYzI5PtyyfPlyTJ061ZFgNRa5mDuEXOKJlFEUBVdeeSV69+6Nhx56CLt378aJJ56IG264AcuXL7fbVVZWgnOO7du327ViLW6++Wbs2bMHW7duxeDBg7FhwwZMnz4dH374YVIu1LGYPHkyunbtinvvvRebN2+OmwnSykI+ZsyYlO5TUGQw/mj27NmoqqrCCy+8gNLSUju7cXl5Ofx+P3bt2oWqqiqcffbZ6NKlCz766CPccMMNGDt2LIYNG+b2SQii3ejatSsmT56MZ555BoFAAGeddVbUjgzpYwcgxRj2ZHj22Wdbfd/n82HJkiVxEy4RRK6yYMECvP7663jttdfiLtRXVlbiT3/6E/7zn/9ExRzPnDkTuq7jySefhCiKOPbYYzFjxgysX78+ZVf1yy67DL/+9a9x3XXX4T//+U+r+sgYo9CTZElhDJlKWGVr/P3vf8fOnTujKqUkQ2TukGxBE3YiJrW1tVHZMi0s98m77roLO3bswIYNG1BaWophw4bhjjvuwG233Yaf/vSnOPvsswEAp556Krp06YI33njDMSB988038dhjj2HevHn44Q9/CABYsWIFxo8fj9tvv91RZ9vKEvrVV18ltF2WZVx66aV49NFHbdfBWKxfvx79+vWLKqdExCCDE/alS5cCMEphRbJixQpceeWV8Hg8eOONN7B48WI0Njaib9++mDJlCm677TZX9yGIdJGMPlpMmzYNP/3pTwEAd955Z1R70scOQAYn7ASRjyTSyI8//hh33nknxo4di2+//TaqraWj55xzDiRJwhtvvOHIZbNixQq88sorWLlypR1C98gjj+Dyyy/H0qVL8ctf/tJuyxjDuHHjsGnTpoR2d+vWDWeddRZWr16NiooKnHPOOTHbrV+/Hqeccgq6dOmSsE8CKY0hU8nx0RpPPvkkRo0aheHDh7u+NjJ3SLagCTsRk2+++SbuD+bll1+ODz74AHfffTfmzJnjyOh5yy234IUXXsDMmTPx6aefoqKiAh6PB1OnTsXq1avtDJ719fW4+uqrMXLkSEcd99NOOw3XXXcd/vCHP+DCCy+04/AaGxujEjW1xrRp0/Doo49iwoQJMd2mdV3HX//6V8yYMYOShiRDBifsrSWUAQy3qM2bN7vqkyAySSJ9jOS8885Dp06doOs6fvzjH0e1J33sANCEnSAcJNLIgwcPgnOOzZs3x/z9bulojx49cPbZZ+Mvf/mLPWH/5ptvcMMNN+C8887D9OnT7WumTp2Kv/71r7jpppswefJkDBw4EA0NDQDchc9NmzYNL7/8Mi6++OKYu7q1tbX429/+hsceeyzpPgueDI4hGxoaHDvfu3fvxo4dO9C5c2c7SVxdXR1Wr16NP/zhDzH7mDBhAn7yk59gzpw5AIzcIeeddx769++Pffv2Yd68ea0ucLcHNGEnokhmFfKHP/whFEWJOi+KIv7xj39Enb/uuuuwdOlSbNiwARMmTEBpaWnc3aAHHngADzzwgP36s88+w/fff4+VK1cm+wjweDwAogfPFi+++CJqamocq7BEfDh3keHTRUIlgsg3ktHHSARBgCRJOO+88+LGzZE+5jdu9NFqTxAdlWQ0cvz48Ul/D2688UaMHz8eX3zxBY4++mj06dMHNTU1Mdu2zN/w1ltvgTGG3/72t0ndC0isjytWrECXLl3ws5/9LOk+C51MjiG3bdvm2Di0Kg1Mnz7d/r347LPPgnMed8K9a9cuR4k+K3fIwYMH0a1bN5x66qmO3CHZgCbsRLswaNAgzJgxA/fccw8mTJjg6tqNGzeisrIyrmtSLP74xz+ipKQkbibIe++9F3PmzKGkZcmSwdVRgujIrF27Ft999x2mTZsWtw3pY55DO+wEkTFOO+00nHnmmbjvvvti1nZvjY0bN+LSSy/F8ccfn/Q1f/zjHzFo0CCceuqpUe8pioIHHngAt912W5tKyBUcGRxDJrP4M2vWLEdIRUtaLpAnyh2SDWjCTrQbVqyyW2bPno3Zs2cn1fall17CZ599hieeeAJz5sxBcXFxzHZbtmxJyZaChSbsBOGK9957Dx999BHuvPNOjBw5EuPGjWu1PeljHkMTdoLIKK+99lpK18VLGheLZ599Fh999BFeeeUVPPTQQzHDgWRZxp49e1KypaChMWSboQk70aG49tprceDAAZx99tlYsGBBts3pOJDYEoQrli5dimeeeQYjRoxw5a6eSUgfMwRN2Aki77nssstQUlKCGTNmUDhQuqExZJuhCXuBk0xW4XwiHc/jNka1IODcOJJtSxAdgLboycqVK3Nmom5B+pgh3Oij1Z4gOgAdaQyZjtwSHenzSCs0hmwzNGEnCCIhXDeOZNsSBEEUCm700WpPEARRKNAYsu3QhJ0giMSQOxNBEERsyCWeIAgiPjSGbDM0YU+AruvYt28fSktLqR4t0SHgnKO+vh69e/eGIAjJXURiS8SA9JHoaGRcH632RIeH9JHoaKSkjwCNIdMATdgTsG/fPvTt2zfbZhBE2tm7dy/69OmTVFtyZyJiQfpIdFQypY9We6LjQ/pIdFTc6CNAY8h0QBP2BJSWlpr/EgDQCinREeAA9Iif7WQucbE6SglDCgbSR6LjkWF9tNoTHR7SR6LjkYI+AjSGTAM0YU9A2I2JgQSX6Ei4ctHTzSPZtkRBQPpIdFQypo9We6LDQ/pIdFRch3jQGLLNuAhAIAiCIAiCIAiCIAiivaAddoIgEsJ1Dp6kO1Oy7QiCIDoCbvTRak8QBFEo0Biy7dCEnSCIxJA7E0EQRGzIJZ4gCCI+NIZsMzRhJ+LCEsRccdAqWMHAzSPZtgRRQCTSynyCdD0F3Oij1Z4gCKJQoDFkm6EJO0EQCSF3JoIgiNiQSzxBEER8aAzZdmjCThBEYsidiSAIIjbkEk8QBBEfGkO2GZqwEwSREK4bR7JtCYIgCgU3+mi1JwiCKBRoDNl2aMJeIGQixtJNn+mOi8xWzGjBxnfS6ihRoKRda9zWr00HPHndSuZ5C1YH40E77ARBEPGhMWSboQk7QRAJodVRgiCI2NAOO0EQRHxoDNl2kpqwf/TRR647PuaYYyBJtB5AEB0CjuRXPQts8430kSAKHDf6aLUvIEgjCaLAoTFkm0lKDUeMGAHGGHiSbnWCIODf//43Bg0a1CbjCPe0yX0zHa6acX5GWtrl1qUy6edK9RmS/NluzY6O7CbKefJetS68bzsEpI8dg5S1s026KbTh2kREjI7c2JjEz3Gh6mA83Oij1b6QII3smGQyNDGbOpLqcxWi9iVLJseQb731Fu6//35s374d+/fvx5o1a3DBBRfY71955ZV46qmnHNdMmjQJ69ata7XfJUuW4P7770d1dTWGDx+ORx55BCeddJI749JI0suX7733Hrp165awHeccxx13XJuMIggityB3ptYhfSSIwoVc4hNDGkkQhUsmx5CNjY0YPnw4rr76alx44YUx25x11llYsWKF/drr9bba55///GfMnTsXy5Ytw+jRo7F48WJMmjQJO3fuRPfu3d0ZmCaSmrCPGzcORx11FCoqKpLqdOzYsfD7/W2xiyCIXIIShsSF9JEgChxKOtcqpJEEUeBkcAw5efJkTJ48udU2Xq8XPXv2TLrPBx54ADNnzsRVV10FAFi2bBleeeUVLF++HLfccos7A9NEUhP2jRs3uur01VdfTckYwh2u3HZcu22m6KrJWvmmRfi5WLYnciGK+4ytPk+ytrt0GU3gpxPL1o7iIkU77PEhfcw/MqOdyelO+1W4EO1/Ja9DeuLnLWAdjAftsLcOaWR+k42qPJnWkWxUTuroOtgaqYwh6+rqHOe9Xm/CnfF4bNq0Cd27d0enTp1wxhln4K677kKXLl1itg2FQti+fTtuvfVW+5wgCJg4cSK2bNmS0v3TQSYD6AiC6CBY8UfJHgRBEIWCW30kjSQIopBIRR/79u2L8vJy+1i0aFFK9z7rrLPw9NNPY8OGDbj33nuxefNmTJ48GZqmxWz//fffQ9M09OjRw3G+R48eqK6uTsmGdOA6BSfnHM899xw2btyIb7/9FrruXDJ5/vnn02YcQRA5gs6MI9m2BQrpI0EUIG700WpfoJBGEkQBksIYcu/evSgrK7NPp7q7fumll9r/Pv744zFs2DAceeSR2LRpEyZMmJBSn9nA9YT9+uuvx+OPP47TTz8dPXr0AEtHZnEiKdKXKT22Y0V6XIQMN8xo158WrpbmEhoDi+kmFGVL1DNFP4N7+924jLbiKtrKdklbs+PnCuQSnxykj7lJprUz4T1YIme2dDq7RX8BoyyL8yXlce1IED7k0k0+X3UwHuQSnzykkblPSmPBdP8/xtCUZEMp45HUc7l9DhfuMpH372gamIhUxpBlZWWOCXu6GDRoELp27Yovv/wy5oS9a9euEEURBw4ccJw/cOCAqzj4dON6wv6///u/eP7553H22Wdnwh6CIHIQzhk4T+4XWbLtOiKkjwRReLjRR6t9oUIaSRCFRy6NIb/55hscPHgQvXr1ivm+x+PBqFGjsGHDBrs8nK7r2LBhA+bMmZNR21rD9bJ+eXk51cYkiALDWh1N9ihUSB8JovBwq49t0ch77rkHjDFcf/319rlAIIDZs2ejS5cuKCkpwZQpU6J2h3IF0kiCKDwyqY8NDQ3YsWMHduzYAQDYvXs3duzYgT179qChoQG/+c1vsHXrVnz11VfYsGEDzj//fBx11FGYNGmS3ceECRPw6KOP2q/nzp2LP/7xj3jqqafwr3/9C9dccw0aGxvtrPHZwPWEff78+ViwYAGam5szYU9ClixZggEDBsDn82H06NH4xz/+EbftypUrwRhzHD6frx2tbTss4k/8Rsx5OBCiDtbyDxPBmGi4bdqH1IZDsPtkTDTvIjrtiGlrK8/msF902O20352d1uG0NfpPrM8xuc8/9v9nvsG5C7F16em1aNEinHjiiSgtLUX37t1xwQUXYOfOnY42+TIgJX3MDaK/v/EatlE7k9VPCGBMinF4zUOOOgTB2+oR6xrjsPqMvl9Yf93pYKv6F+tz7KA6GA9X+piCRlq8//77ePzxxzFs2DDH+RtuuAEvvfQSVq9ejc2bN2Pfvn1x6xFnm2xrJBGblPQy5vc9lla4PeLcy42tMZ4tqWdJ+hmS+Exa0cGkf0d1EDI5hty2bRtGjhyJkSNHAjAm2yNHjsQdd9wBURTx0Ucf4cc//jF+8IMfYMaMGRg1ahT+/ve/O2Lid+3ahe+//95+fckll+D3v/897rjjDowYMQI7duzAunXrohLRtSeuXeIvvvhi/N///R+6d++OAQMGQJZlx/sffPBB2oxrSSqF7MvKyhyDf4qXIgj3ZNKdafPmzZg9ezZOPPFEqKqK3/72tzjzzDPx2Wefobi4GIAxIH3llVewevVqlJeXY86cObjwwgvxzjvvuH6WTEL6SBCFR3u4xDc0NGDq1Kn44x//iLvuuss+X1tbiyeffBJVVVU444wzAAArVqzA0KFDsXXrVpx88smu75VJsqmRgLGoef/996O6uhrDhw/HI488gpNOOilm25UrV0btqHm9XgQCgYzaSBAdjUyOIcePHw/eyiz/9ddfT9jHV199FXVuzpw5WXWBb4nrCfv06dOxfft2XH755e2eMCSVQvaMsawmCSCIDoHOwDOUJX7dunWO1ytXrkT37t2xfft2jB07Nq8GpKSPBFGAuNFHs71bZs+ejXPOOQcTJ050TNi3b98ORVEwceJE+9yQIUPQr18/bNmyJaf0EciuRtKiJkFkiQyOIQsF1xP2V155Ba+//jpOPfXUTNgTl1QL2Tc0NKB///7QdR0//OEPcffdd+PYY4+N2z4YDCIYDNqv6+rq0vMABJHHuKkd3NYaw7W1tQCAzp07A8ivASnpI0EUHm5rq1ttW35/vF5vzNJFzz77LD744AO8//77Ue9VV1fD4/GgoqLCcT7bNYPjkS2NBGhRkyCyRXuOITsqrifsffv2zUia/US0Vsj+888/j3nN4MGDsXz5cgwbNgy1tbX4/e9/jzFjxuDTTz9Fnz59Yl6zaNEiLFiwIO32uyVhTEvcVV5nbGF03I4Qu52j7JDYynutwx3ZIjTjnFkSiCEym4RolLVgOpj55bTKXDA4Y4kcz8DC8UPxbE5kr9PG2LaGsWxHVCaM6BJIumVAyxtG3S3fynuk4s6U7GA0El3Xcf311+OUU07BcccdByC/BqSkj9kj9ZI9SZS5jNKU1vQTsPSo5XmW8Lr49sQwsAUt9ClKr/QWlTWt97Xo62y73OhfCztilPFsSb7pYDxSdYnv27ev4/y8efMwf/58x7m9e/fiuuuuw/r16ztEjolsaWR7LWrmGwlj1uPisrRua+OyqDGZGFsPmNkuQk/ilQaOsiftpYHjlTCOJEY54A6uhfHIpSzx+YrrpHN/+MMfcNNNN8X09881KisrMW3aNIwYMQLjxo3D888/j27duuHxxx+Pe82tt96K2tpa+9i7d287WkwQuQk33ZmSPQBjYFZeXm4fixYtSnif2bNn45NPPsGzzz6b6UfKCKSPBFF4uNVHSyP37t3r+D5FTiYttm/fjm+//RY//OEPIUkSJEnC5s2b8fDDD0OSJPTo0QOhUAg1NTWO67JdMzge2dLI1hY14y38WouaL7zwAp555hnouo4xY8bgm2++idk+GAyirq7OcRAEkdoYknDieof98ssvR1NTE4488kgUFRVFJQw5dOhQ2oyLJB2F7GVZxsiRI/Hll1/GbZPMLiBBFBqpuDPt3bvXsZOS6Hs1Z84cvPzyy3jrrbccO7w9e/a0B6SRu+xuvvt///vf8fjjj2PXrl147rnncMQRR+B///d/MXDgwLS6ZpI+EkThkapLfFlZWcLd5gkTJuDjjz92nLvqqqswZMgQ3Hzzzejbty9kWcaGDRswZcoUAMDOnTuxZ88eVFZWJmVPe+kjkD2NTIXKykrHZzhmzBgMHToUjz/+OO68886o9rnsgUQQ2aQQXeLTrauuJ+yLFy92fZN0kI5C9pqm4eOPP8bZZ5+dQUtTJzU3eHcu8GEXTKcLeaSrJovhNp+sW3zYzVJ3nOPQTVdL0/Wcq2BcN90qnS6Z4TJulnu8YJYkMuyOtLelra3Zadtmf0TRNlofcUt30bCbaPgaloqLfCvu8bnsBpWKO1Myg1GjPce1116LNWvWYNOmTRg4cKDj/VGjRrVpQPrXv/4VV1xxBaZOnYoPP/zQjsGura3F3XffjVdffTWp50oG0sf2J12u8MmED8XTT+P65DQ0UqOidazl9YmJcn03X/MW+hbVlkWfszQwvv5Z6OFPy76fpV/OduYDtTQ66jnyQQfjkcks8aWlpXZ4kEVxcTG6dOlin58xYwbmzp2Lzp07o6ysDNdeey0qKyuTyu/RnvoIZE8j22NR89Zbb8XcuXPt13V1dVFhD7lAe4w1w10loWUsWseYpR0OfbJKvkW0TcLF3FmurcX7CcKdWkd3fgrJjAk7uBbGo9Bc4jOhqyllic8Wc+fOxfTp03HCCSfgpJNOwuLFix2F7KdNm4YjjjjCdr1duHAhTj75ZBx11FGoqanB/fffj6+//ho///nPs/YMBJGP6DqDnqSbUrLtLGbPno2qqiq88MILKC0ttd0Ty8vL4ff7UV5e3qYB6V133YVly5Zh2rRpDlf7U045xZFtOR2QPhJE4eFGH6326eTBBx+EIAiYMmUKgsEgJk2ahMceeyypa9tTH4HsaWR7LGqSBxJBxCaTY8hcJBO66nrCvmfPnlbf79evX0qGJMMll1yC7777DnfccQeqq6sxYsQIRyH7PXv2QBDCK1qHDx/GzJkzUV1djU6dOmHUqFF49913ccwxx2TMRoLoiGTSnWnp0qUAjFqakaxYsQJXXnklgLYNSHfu3ImxY8dGnS8vL4+K+2wrpI8EUXik6hKfKps2bXK89vl8WLJkCZYsWeK6r/bURyC7GkmLmgSRHQrNJT4Tuup6wj5gwIBW61Bqmhb3vXTQWiH7lr/EHnzwQTz44IMZtSdduHdRiuHaA7Rw74l0twxnLY523RSM8xGunS1fG21jZ2J3uFTycLZ167zOVcPlnOvgXDXOQQSHAsZV8LAfuvksQsS9BDAmQzBd4hmTbNsE89/hz0Fw2NiSSNsi7Y502Q+7zVv/Nu7L7ddaRJvYLvLRrqGRbqgsoQtXLrpBZdKdiSehzm0ZkPbs2RNffvklBgwY4Dj/9ttvY9CgQa77aw3Sx/YhNTf4TIUPCU4dihGy4zwnOtoLMa437IuvZRY8IpwoUs/0luE+XItykY90nY9ymWdObYx2kxeidDC2i3wM93jjIS1Dop4pH7MlZ9IlPtO0pz4C2dVIWtR0O9ZMNM6MHy4UK1SoNThz6pOBU7esSkM8cmzFGBh3akXY3T1GtaGYOp98laFYNtrnoCO5sMn8HxO6pdBc4jOhq64n7B9++KHjtaIo+PDDD/HAAw/gd7/7XUpGEASR2+Sz2M6cORPXXXcdli9fDsYY9u3bhy1btuDGG2/E7bffntZ7kT4SROGRzxP29tRHIPsaWSiLmgSRS+TzGDIVMqGrrifsw4cPjzp3wgknoHfv3rj//vtx4YUXpmQIQRC5i84Z9CRFNNl27cUtt9wCXdcxYcIENDU1YezYsfB6vbjxxhtx7bXXpvVepI8EUXi40Uerfa7QnvoIkEYSRCGSz2PIVMiErrqesMdj8ODBeP/999PVXUHQ1kydsbNcCi1ceqKzqrMIV3IGAYIgmX/LZg/WOacbPWMihFaysVuumJb7pc4VAICuq9C4Cp0r0HXDJV7TQ9C5AM4FQA9ZPdjPZWWFF5gXjEkQBY/xWpAgMBkik+x/W88RaV9LLLuMuxguoJZ9lt26rtjuV7qutnAVNV/D6QbvdJE3/3JkNbXcQmO4gxodR9mai25Qbmpj5loNTcYY/ud//ge/+c1v8OWXX6KhoQHHHHMMSkpK2s0G0sf00RbdTM6tMzp8KDLre7zwoZYu75Gu7sb7okNLjd4E+z0h8nrz3/H0DIDt9h4O8dEMnTM1SY84b4f8RGR9D+t1tDa2dJc3ssQ73eTDmtbSRd78K6YOhq03H7bVgEUGllM6GA+3tYNzSSNzQR8B0sj2IK52JhM+FHOcGR0u1JpWWu0iiR+aY2oPiwhVNF3kmRlaGT0ea/lMzmpDVohlpL1Om5ya3RJn+GfYRst+pybGdpGPqYVJjAnzQQdbI5/HkKmQCV11PWGvq6tzvOacY//+/Zg/fz6OPvrolA0hCCJ36QgJQzweT8ZjD0kfCaLwaO+kc5mgPfQRII0kiEKkI4whUyGduup6wl5RURGVMIRzjr59+zpS1xME0XHQ4cKdKZmEYO3I6aef3mqSozfffDNt9yJ9JIjCw40+Wu1zhfbUR4A0kiAKkXweQ6ZCJnTV9YR948aNjteCIKBbt2446qijIElp87Dv8LQlK7zjetPNx7gkOkunkV097OZjZVa3sq4LgulezmSIglE/VGQSRMiQmNe8swyRyZC4HOGqGXbbtLN4MkCDAp3p0KBA5QEAgAYVKg9A0Zuh6UEAgKI1Q9UD0LQANCs7KFeN52YSBPPeklgESfRDMl3iJcEPSfBCYj6IkCAxn3lrIco+ANBNFyqd6dBNNyWNK9ChQOVB0z4FGleh6UHbTV4T1CgXeSvbveUaaryO/K8y3UKt11yPcGVqJVtyHmQIzeeEISNGjHC8VhQFO3bswCeffJL2msCkj5mjVc3McPhQ5DlDQ8MaK9ptnK70IpPt/kXIYEyECAkCZAjm9SJkCFww3jfvIUGCwJ3Z6Fu6xhuu76YOmXqkMiNsR4MCXTD+Bgy949CgQbVd3zUo4Fw334t069QMrbN1z3jfChECwu70HGG3VM71+DqIeBU0ItziLfLUHTSfk861pz4CpJG5T7zwIcExxoynlfbY0tRJ0a7wIzh00sIK4TH0yNQUrkHnakSFIbO6EFcB6LYaMOiGZDDdqR0sdrWhSPvgCAc1bTSvsUKaWqJHaKXOFTO00rLZsJO3zGLfImyyVS20bO9IW8wm+TyGTIVM6KprdRw3blxKNyIIIn/hLhKG5JrYxsvyO3/+fDQ0NKT1XqSPBFF4uNFHq32u0J76CJBGEkQhks9jyFTIhK4mVXDwxRdfhKIoSXf66quvorm5OSWDCILIPazV0WSPfODyyy/H8uXL29wP6SNBFDZu9TEfNDJd+giQRhJEodPR9DFV2qKrSU3Yf/KTn6CmpibpTi+99FLs378/JYMIgsg9dJdHPrBlyxb4fL4290P6SBCFjVt9zAeNTJc+AqSRBFHodDR9TJW26GpSLvGcc1x55ZXwer1JdRoIBFIyhkCrsevxShLFjysKxxRZMTqRJdEAQGReOyZchh8A4EURJHjh5cYPlZd74YUMmYkQTRskJkSZyjmgch0a5whyFYoZ4xhkQQRYEwJSA4LccAUJCLVQtEYEgHAMEAsCECAKfsiSUfrAK5VCFkvgE8qM16wEPl4CL/fZdhnPIUCGAIExCBGfkw4OnXMoXIdixm8qUBFkQQSZ8XOqIogga4IqBKHwJuOcHoQuqHbMvcbCZeksewUI4FDteCUrjpOHA6yMv5Ip85bjpY3yOf6oZV1fKyvxtm3bcPvtt7e5f9LHzJNq/HqsOMzwZUZZImeJtnDJS8Ghn5bOGPk+rDhIkcnG64h4SRFGSUwrjh0AJC5DghcSJMjcA1k3z0OADMnQLyvenTEIjJl/x39snQMa59BM7VC5kbFD4zoUqFBNjVGYAoWFoEKFxsy4dqaauTvC8e2AETuqiYodS6pzBZoetHN6ALBj2nUe1r1WddD4cO2cHkYfMXTQ+E/Jm1KXkeRzDHum9dHqkzQye7jXT+u9luPM6PxIgFFuVxQ8EJhs5xsSBS8k5g3nQmIyRDMfkoVulpzUoEDn4bxCKjfyCal6yMgtZJYDZlyFrods1eBcMeLY4z6zNRaWTT13lggWBa+Rs0mIsNHM4RRZXhMwdE+LsNHSRtUsSxw5PrRj7uHMc2TE2yOGFiYmF8aBbSGTY8i33noL999/P7Zv3479+/djzZo1uOCCCwAYseO33XYbXn31VfznP/9BeXk5Jk6ciHvuuQe9e/eO2+f8+fOxYMECx7nBgwfj888/T8qmTOhqUhN2twHyU6dORVlZWUoGEQSRe+gcyWf4zLHfKeXl5Y7XgiBg8ODBWLhwIc4888w290/6SBCFjRt9tNrnCpnWR4A0kiAKnUyOIRsbGzF8+HBcffXVURPlpqYmfPDBB7j99tsxfPhwHD58GNdddx1+/OMfY9u2ba32e+yxx+KNN96wX7tJipkJXU3q7itWrEipcyI2cVc7E2SGN9rEynLszE7MIrJyWrvrgrXTI3jslU8AkIUiyPDDiyL4UAwA8Ol+FMMHn7kLXySJ8EsC/JIAj3l7WQDEFuZqHFB0IKQDIY0joBnroM2qjia9HA16AA1CPQCgXvSjiR2EDh26tUKpG7tUguCBVyoFAPilLigWuqCEVwAAyrRSFDEP/KKEIlGExzTCIzJ4BEBi0UmHVQ4ENY6AZqhAQONoVjU0mTtGjQggIDQjgEYEzc9FEZuh6E3h3Tc9CM3cUbKWd3WoACQjuz0AmJtDjtVU6Mb/GW/p5BOZRRQ5nxk0n3fYM61fpI+ZJWFFjSiS310XInbUrazBkVmOrSoa1g6MtWMUWUFDZj6IXLIrUxj3NrIMy7qxmyNzGR5I8DAZXibCIxr39AqCqV0MsrmdLpk6JrbQ2MgdFp0DHICmG5oLAAoHVJ1D0TlCGkdQN94I6TqCXEOIKwiZO+kKM7K/q8x4be2wa0yBwoJ2hQ+VB6GyoLHjJRh6qeoh4/eMqYc6V6HrRsZmwNyB55akWbon2DtLzmeJscveCrm6y5TPO+ztoV+kkQRR2GRyDDl58mRMnjw55nvl5eVYv36949yjjz6Kk046CXv27EG/fv3i9itJEnr27OnKFotMaB7V0CAIIiHG6mjybQmCIAoFN/potSeI9sJa5Ep28TNeu8jwIWuBEwBEcyNIFvyQBSO00iOUwMtKUMQNTwk/98PHfZBZeGGTc44gFARZCEEWQEBoBAAEeT1CvBkKa4LKJKjM2NSxQhTDmyaaEYrDOZhjIU8AmFHKDbAWXz22nYCxeSUJfshCETzMsFlmRXbIpazLkOzywBwaU9HMmh02BoUGKLqRHFHVmqEiCOjhJUhjOVKN2IuJtzjpbuEyH8mlMWRtbS0YY6ioqGi13RdffIHevXvD5/OhsrISixYtanWCn2lowk4QRELybYe9U6dOYK3F5kVw6NChDFtDEERHJt922EkfCYJoT1IZQ9bV1TnOe73epPNgxCMQCODmm2/GZZdd1mrYzejRo7Fy5UoMHjwY+/fvx4IFC3Daaafhk08+QWlpacxrMq2rNGHPE6JXPMPu8M6kSeEkdJHu8JGJQGTBD4mZCeXMJG4+XoQSbrjElwgeFEsSymSjnzIPQ5kMlMtAiWSsAvpFDpGF3TMBQOEMIZ0hoDE0aQyNqvHj1aBw1CsS6hQPahTzvvDhkChC4woUc8VSNZOEyGIRfFIFAKBU6I7OWnd0YoZtFV4ZpbKAEpmhVGbwi8bNi0QOn8jhEbjhFm+utmqcIagzNGoC6hTjM6wJAXUhAQ2KsXrqUyU06B7IzGMnRAkwEUwIu30aDwpnlIJuucWbJ82EItZqatjLPbxymqpLZ7ZdQXUw6EmuzifbLpMsXrw42yYQmSaZBJ2OECIgKkFnhKu85Q5vucRLgheCIEESimwXeA/zQ2ZF8PIiAICPF8GreyFH/CpVoEJjKkQu2ef9TIJPkOCXBBRJAvymr7tfAnwig0/k8JkbTx6BQ2aALIQ1tkUADThnUDmgcma7xAdN7Q1oAoI6R5NqdNiscjSrOgKajICZvCnINWjQAA54mAxuipa129XMjOSbAaEBCm9CiDfbyZYYRGgQoEZuCAkIJ4Zixu8iZ3iQFfpjaaXewi0+4umcMUV5gRt9tNpnE9JHojU4eKu78ZZ22gmOIdihQ7JgaKOflaNU74ROMCZFnWUvOnlFlIZzziGgAvUKR4OioVYLoUE3xnkNgh/NQh0CLcJCOdfAmQ5uhvIwyKa2aDGsDI+FmanrouC1x8KyWAKv6QXgN70ASrRSlLEilIoySmQRPomZPQH1io7akIqDmjFerRW8RqJRS9K4boR4chXuh2qJd9dzMRTIDamMIfv27es4P2/ePMyfPz9lGxRFwcUXXwzOOZYuXdpq20gX+2HDhmH06NHo378//vKXv2DGjBkxr8m0rtKEnSCIhHCe/Pg5F8bZbpMcEQRBpIobfbTaZxPSR4Ig2pNUxpB79+517IK3ZXfdmqx//fXXePPNN10ntayoqMAPfvADfPnll3HbZFpXacLejrgrrZEo4VysLozdovCqomCvfAp2LI9RWsMq4ebhfvh4EYq5HyXmymOpJKHcK6KTx7Cpi5ejh1dDL38IPYqMnRe/rEBgHDpn0HTjfkFVQpMqoVmVUK9IqDV3sGsUATUKw8GgCE/ATNYUBDRdRUhsQkCsNa43Y45k0Q8/6wQA6KR3RTehFF19hv1dfAydPECFzFEhqyiVNdNmFUWSCr+swiNqEIXwimVQlfBtUxH2NxvP960k4TtRsJM8MQYICjN3zI3rdGhGfBQzEykx3Ti4Dm5+lpzp5k6SYPfDo5LLtfi/i5l8Lvd3lnTOXGT4zP4OezwCgQBCoZDjHGUjzl3cJ5yLR+wEnQ69hLOEmyBIRtlL5rVjHL2sFEW8FEXmTlAJ86FYklAqixDN7++upjpoRs/wmrv1xeaOTanMUOZhKJWM73ixxFEs6SiRdPhFQ8v8og6PoMEj6pBM/WEMEMDtnQdNZ4b3kCYiZOpvQBPRpAloUAU0agLqjRxxaFAZ6hURdSEGc2MKugbonEOCgEHFfgTNDaoGRUO9poTLzgkSmiJiTgGAMw1c0CCEA0nNUm5WWTczxjWBt1GqZNvbKBZu9NFqn4uQPhYgka4wSV+iR13CmJFoUzSnFTL3opj70Uk2xl39SkQMLdMxvFMd6kLGuT1NXvy3WUR1swRPgEEKMbt/Dh0aU6AJSriUrmCV1U0wFm7xe8P2CGCCI4GoDD/8vAxlupHRu5NQhC5eGd39Anr5gb5+Q0Q7eVR8UuvHv2plqI3G74IgDyIgNIBxpz7GJtoDINc0LNOkMoYsKytLi/5Yk/UvvvgCGzduRJcuXVz30dDQgF27duGKK65wfW26dDWlCfuGDRuwYcMGfPvtt9B15y/g5cuXp9IlQRA5DHfhzsRzwCU+ksbGRtx88834y1/+goMHD0a9r2mx3OlSh/SRIAoLN/potc8V2lsfAdJIgig0MjmGbGhocOx87969Gzt27EDnzp3Rq1cv/PSnP8UHH3yAl19+GZqmobq6GgDQuXNneDzG4tGECRPwk5/8BHPmzAEA3HjjjTjvvPPQv39/7Nu3D/PmzYMoirjsssuSsikTuup6wr5gwQIsXLgQJ5xwAnr16pV0gD2RGrFi16PbOMsV2XFFzCiTFhnXbu22W7HaMvdC5jJ8zAOfYKwUFssCSmWgwmOsAHbzaujtD2JQp1r0HmbE71gVjLjCoRub7lCbGIKNIpqbPKht8qE2aKxkHgp64A9KkCPiRVXdg+ZQKeqEEjumyNrtkgQ/imCseJaiGJ28Err6jM+hu8+wp6tHRWdvEOU+I66y1B9EUUkInmINoh8Qi8zdc5kBAlD6QRDsYAUAI65d4aId+xnSBag6R5BLULhZ1o2FoDEVOjdLGZkl8nSmOD9fLkTsLOn2zpLx2vpCOjOA5uIOUUfmpptuwsaNG7F06VJcccUVWLJkCf773//i8ccfxz333JPWe5E+thNp80hy/s2YCMGKaTd1UmSynfPDw/3wci+KzJj2UlFGJ6+IXkUChlcYK+g37PoXitEJ5egMEcZ1PlFAqczQyctQ4eGokA09KJc1lMsqSmQFxbKhNX5ZgdejQpY1iFJ4h50JHFw3nlvXGTRVgKKICIaMX+ONIRmNiox6RUadKqHIKh2nCBAZA+cCQmbCEV3jqBVqcRj7cN0Rw/HBYeN59jWJQMB4HwA0rkKFaux0maXfdCaDQ4dgvubW7xhE6CAT4nsbWf83rXkbWQ+dg95GHY321EeANDKbJIpNN2iZrCd8zvpOW99vywMRiIjhdngphr+/XoHhmPIGDN/wY+gLjZJXnd7qBKAcAU1Ckyqg0cy74dU8aGaSob9cDudlglOzre5ZixzxVpuWY2MB4XMCBEPbuQQvjPGwTxBRIgvo6gUGlwRx6jF7AQAl95+P5nM+wBf1XnvsZowPNXBz95xDMz4T7vxMXBND82i82Drbtm3D6aefbr+eO3cuAMNFff78+XjxxRcBACNGjHBct3HjRowfPx4AsGvXLnz//ff2e9988w0uu+wyHDx4EN26dcOpp56KrVu3olu3bknZlAlddT1hX7ZsGVauXJmSWwCRPlomnDNokWApIgmd5RIvwnCJl7jp8sgleGBMpn3WAE9kKJYYSs3BYidZQ/eiZnTu3ghpUKllgFnkXAdvMgaaUqMKT70Kb41x+OqNAZ3IdAA+aFxGwHTfbFQEFCkyfLzEdlGy6sZLghc+M6lTiSCjRBZQZiYq6ezR0dWjooe/GZ2LmlFaZtQL9leokDsxCKUSWLEM5jNr0csiIDB02ncY3QPGwkCjKqFJE9BkJhRpVhkCggAvExHkljuXBwqCYObKhAgZGlONz9v+JdHyl1rL0hxi627yeUS+xbBH8tJLL+Hpp5/G+PHjcdVVV+G0007DUUcdhf79+2PVqlWYOnVq2u5F+ph9knGjdyy6ORY4w6WKDBd5GRK8kM2FPA/3wMs98Jtt/JIxES+TwwnimrSDKBY7wcd9KJGNdmUeAZ28DF28HF09Gjp7DM2s8IRQ7gui1B+Ev8g45ylRIfkAochccATATK2yMnxylYMrHFozoDYa7wWbJDQ1eVDf7EVJ0Au/aC7KMhkMAnTOoJj6G9JkNGh+CIKMkC6gyBwJFEsMTZKAkG6cCOkeKFCgwgsNhn0aU8C4Yn9Ouq7bi5fW52gtXvIELvAdZfEy32LYI2lPfQRIIwmiEMnkGHL8+PF24tTY/SXu8KuvvnK8fvbZZ90Z0YJM6KrrCXsoFMKYMWNc34hoHyJ30wGYK4pixMqkaK9aAoAMGTIkeAQBHjNzsU80ssBbE/YKTwgVxc3w9QRYbyO2HKJo7JCoOlizscstNASh1wYg+EMQ5BCYYGWRNwaKTZqAetW4R7HMUCRK8GgeezHBsliEDK85QPZLAooloFw2+qqQjZ31zkXNKO/UDH9XY3VT6iJC7OQFK/cBxT7AjHmHaEzYvT1rUf6dMbmvaPahRpFQJJlZ4iXAZ2ZXls14JAmisbhh2qZChMCdn6UORO0sdVTyOYb90KFDGDRoEAAjbsgqp3HqqafimmuuSeu9SB9zjcgdmcQLnJZeGteI9g57pF56mAyPYFzrExn8EoNP1O0JuzVZlZkIv2S0K5aBMpmjQtbQxaOgq8/UIn8AZWUB+MsVyIZTEcRy0Vh0LJKNBUcAkARAYOGSHKoOHlQhNSmQzWB1T60CX50KX60CT70G0fQKAAAdMlRdQLNmfDcbFAFezaiKwcDhM7XaKwrwiQzN5vN5uPEbQoRs65zIZKhMtGM3BQjQ4yxeOuLaHRvmHUsr8zmGvT31ESCNzDYxd9ljxLFzcLCI6g6RcescAljEd1jnKjSuQuSK7ZWoCEE0swDqVWMs902jiLXflOHZQW/hvZoKAMB+4Us0aN8hpDVCURuh6SHTHCtWXQPnqu2NE17c08N2I3oHmnMFTFOhw3T/ZAwhxcpVEq4gwpgEQLQrgwiCB2KjB9IhPzxiMYq+MGKdO73wGo6Vj0CDEkINNytosEaoCEI1a8PruuGRyRG9yx5+rcfwLOpYWhiPfB5DpkImdNX1hP3nP/85qqqqcPvtt6d0QyL9OAehkefD7vCO0m8RiUFEbuyuy4IAs4qbXWaoyJywl8oKikpCELt6gO6djUaiOZBUVCBoCBYamyEUNYF5GuERmgHd3JFRAwiqEuoVGSXmJNkvGgsEHtULkVk/hoa9EvNCNne6faKAIomhWLJcSFWU+4IoKQ3C31mD3M0cNPYoBqsoAsqLgWI/4PM67BS77UdRqTFILq5VUCxp8FseBYIASQBkgUEyB7QilyAxCaLpKhXprRB2oRUBMxlK5P+Fe1fQ3IeDJR1XlEvxmQAwaNAg7N69G/369cOQIUPwl7/8BSeddBJeeuklVFRUpPVepI/5RdT3GWE9FZkUVy+txU2PyOAROLwCh2xO2BkzFx2ZCJ/ZzvJYKpc1VHhDqPAbWlRe3oyirirkzgKELmZCznIfUOwFSnyAbC48SmKLCbsGFgyBNQbA6oy+hNIAhIPmYikL17LVuICQLqBRZSiWLC8qY0FB4rJhu6n9XtHQQSshp6QxiFwySjZZi5c8aEzS45TMY0iggR0QN/potc8V2lMfAdLI/KCFWzzXzVC/8OYEhx4u5SgI0HUFGgsixJoBAAKX0chkSObCnhrgOBySENI1hFi4RKTAZGOpVJDs5HIwddcIK2zpuZg6DCwiVMrpWWW3aeE6DwAaVPwndAgKFDSbZYibUYuQ3gDNLHepcdWenHPzOQwPoyQTznVwV/h8HkOmQiZ01fWEPRAI4IknnsAbb7yBYcOGQZZlx/sPPPBASoYQBJG76Dw8V0imbS5x1VVX4Z///CfGjRuHW265Beeddx4effRRKIqSdr0ifSSIwsONPlrtc4X21EeANDIXiLvLDjh22q0Jo9U2HMNu7LJbGxY6N0JiVD0Exowd6BAEQAB0s2JPkAch6x4IYGhmxqRXg2Ln+mm5yOfYlU4TTq8BwIrLt0J3rBBGHeaChOktEBSaEGRN0LgCBcaChKI3IaQ3QNGMBVNND0LTQ+BctfvjXDGfw/II0KO9BIyGMW3tSOTzGDIVMqGrrifsH330kR24/8knnzjeo+QhGSRBAiUgOomSfT5ipdAqvGEnVgKDyASIDJDMXRWPYLhIFlllhmQV3lINQqdS8M6mS7y5Uw5VA2s2BAxeLyCKYAAEVYccNITM16SgqCmEYskLv2jtnDN4BAESRNsFNWyvCNnc7fKIzLTFELciSUWRV4GvRIXUSYDQxSixwSqKgC5lQHkpUFwEbtVrNO1k5T54yoxfJMUeBT5Bh9d2A+WQGSAy47MAAIkLELgQ8TkZrrIt49bjxW4CQKL4zXwin92ZbrjhBvvfEydOxOeff47t27fjqKOOwrBhw9J6L9LH/CC+V1LEToupkxI3EhMBgAQBEhPsEm6yYB4M8JoaxSBAMvOCeExNtTSsVFJR6gmhpNjYlfFXGLvrYjcfWBejVBw6FQMlxUCRD/CaCTmtSY01sFNVoDkANDaD+Q1dYx5zFx5B+LUQFNMFNKCKaFAkFEsifKKleYBshh/Jgg7J9A6QGIckwH4+kQmQuACJSxBY2AXekcvDTNbn2tuoA5HPLvHtqY8AaSRBFCL5PIZMhUzoqusJ+8aNG1O6EZEZoiaQLTPG226Kov23YE5GAUCEaE7ame0WKTJAFjg85sqoR1Ih+gGUeIHSEgAANyfeTFPBPabbuCQBug4oKoSmEHi9EY8kF2nweRX4JM2eJFsDXTFi8cCy2cjcaQ6IGeARAZ85GPZLKnxeBVIJh1Aqg5WaE/PyYqC8FLysFCgujpiwGzaxUr/xDAC8HhVeUYfHsoWZtkQMVC1XWDshVcSigmNhJC0rgcllR7ZXubOw8prP7kx79+5F37597df9+/dH//79M3Iv0sf0kL76663cw8w/0dId0qGh5iKdHb8N0VzYsya0Yb2UhfB3WOACRCGsqZaG+UTNyAJfZExupXJAKJfBOvmNiToAVJQBpcXgxcXGIigAmBoLqwRWSAH8QTBzkdS+r6oDiga5WYGvwbiHv1mFTzS012PaIwkMkvmshu3WhN04RPt3AbOf3/qdwcxF1liLlwAAnvnJeja1MBb57BLfnvoIkEbmCi13z8NvWPHsEXHYEIydaRZuAiiAGSaj27HnzthtjStQBWNxMsjqIQk+yNyLZtQCgO1SrupBR6y35RofW0NS1ZXo7PdWXD63Xf1V6Dzs3h9EAwAjXErjClQetHfdNT0IRWu2bbV213Wugptt7N31eDH4RqMoS3NF19JJPo8hUyETuppSHXaLb775BgDQp0+fNhlBRJJ4Jz21XiMHoZGlLRgYMzZmrBYSA0QWznosyxoEHwO8Mri/yGwkAYyBaxqYmaCI6zpYIAj4A0CRB8xvJvLwapAkHbKg2wND2cyhJEGIih1lEOydblEAZBaOD5VFHZKsQ/DByATvNwe0fp95+MH9fsBnJlwSRWOQ65PBvOYgW9TNXSXY92DM+MUlmEJhDlEdn5lg2drxtDQh+ezONGDAAJx66qm4/PLL8dOf/hSdOnVql/uSPmaReDvorehry1j2liWAjL/DegmEJ+yGXur29UaG+fDEV2bGpNgraka5Nq/RVvALYEWyoWPF5opicRF4aYm58GjqmKm39uAuFALzyOAAmGrubCsK0BwEawxB8KuQfYaHlEfSjPsKHKLDbmYsLLCwFjIW1kLreS0tjPfZ2QvDEdUzkvIuytN8HrHIZ5f4bOkjQBqZC8ScuEe5x+umC7xmtjVeh13kZWNeysLu5ZoehCqEoAqGB2ZI8EJiXghMhmLWAlb1ZihaMzQ9ZE94jdvr5qRXj+1GHjHJjTe5dbj9RyxCWJNzawHCXnywetcBFXAkj+PQDZd3rkI3czPp5uTciuOPSpQHJEyW19Lejkw+jyFTIRO66np2qOs6Fi5ciPLycnvFoKKiAnfeeSd0vWP88iUIwom1OprskUts27YNJ510EhYuXIhevXrhggsuwHPPPYeglSwxjZA+EkTh4VYfc0kj21MfAdLIXIVH/Amf5BH1uHT74OBG7DlXAa6C8yA0vRmaHoCqNdlHSK1Hs3IYzcphNIW+R0PoAJqU79CsHEKzcggBpRYhtQGq1gRND0DnQeg8CM6DZr+aaY+1U82Tmqy3fCbHs8R4Bm4euhmHrmkBKGoTAmotAmqtbWvQtDekNkCJsNs4msF5EFwPGRN1c6HBqNMe2/4oGzsw+aqPqZIJXXU9Yf+f//kfPProo7jnnnvw4Ycf4sMPP8Tdd9+NRx55hLJ+pkqG47asHSMgvMMkQHDuGpk7R9YhAJAEDkngYIwbrlCSaOz0SJIRUylJgCiCyx5w2QOIkuG6KYnG1pJkHEwCBNHYgYr8OrIW7ueRRDqkGztaHIK56y+IOpgRdB9xiOCybNzf4zHss2z0eIzYeomBSQyC4LQFMD0MHM9v7TCJEFrE2Cf/uWfGWyIbWKujyR65xMiRI3H//fdjz549eO2119CtWzfMmjULPXr0wNVXX53We5E+djxiff8tvYj8t6UdxjUCGDP2dwytMzRVZByCwCHIgCDDqK8ui4BHCmuWRwYsTbXOeb1OXfN6jfe9XlPzzPOyBHgsreNgEodolpwTGbdtFSJtZbC1MPJ9oYUWWkR6G0X+bolFLG3viLjVx1zSyPbUR4A0kiAKkXzVx1TJhK66dol/6qmn8Kc//Qk//vGP7XPDhg3DEUccgV/+8pf43e9+l5IhBEHkLh0hYQhjDKeffjpOP/10XHPNNZgxYwaeeuopLF++PG33IH0kiMIjn5POWbSHPgKkkflArB1f5jhlZna3C7Ob5de4Gnb+ZgLgyBEi2jlCYmZRT+D63pptyT4PC/vAO5+BW6XXjGfQLNt1w3YFIgxX90gPEGdN9bAnQOSNo3fTC5WOMIZMhXTqqusJ+6FDhzBkyJCo80OGDLELwxMuseNrMtW9Fk4WYgqKHiEsluOOVbeXc0N2VN16zYz4RFUzshNbMAZoGphiJByBphrJkFQN0HRANUVZBXSNQeOC7erCAXBTzGLFO+qmsOmWPXZNYQZdE8A11ejfvAdUDUxRwEMKIIcAwcqaZMawaxq4avapO22JXNWz9DV8/+gamsnSkTIkcyQfup+rv5K++eYbVFVVoaqqCp988gkqKyuxZMmStN6D9LHjEUsDIncAWmqHcY0OzsPDM0tTNc6g6wxmGKShSYoGhFQjBh0wNFQJgSkyuKVj1u+IyBh2JQQEg0Z7wLheUYGQoXVcNTVTE6BxZtzb0rdIreOIqYVhu1sOOs2yRzyxNnakShmt4UYfrfa5RnvoI0Aama8krh3eQily8Ic86WfIQdvznY4whkyFdOqqa1+14cOH49FHH406/+ijj2L48OEpGUEQRG7DwewV0kRHrsUfPf744xg3bhwGDBiAp59+Gpdccgl27dqFv//97/jFL36R1nuRPhJE4eFGH91q5NKlSzFs2DCUlZWhrKwMlZWVeO211+z3A4EAZs+ejS5duqCkpARTpkzBgQMHku6/PfURII3MV1isP2bCSeOQIDA5fAheCIIfolhsHmWQpArIUmdIUgUkqQKiWAxB8BttmQzGJPMw+4zxp12eIYbtYVv9Dputw2F3HPsLmXweQ6ZCJnTV9Q77fffdh3POOQdvvPEGKisrAQBbtmzB3r178eqrr6ZkBBGJtSOR3ri/yB11jnAmTx3c3MEO31nlsHdkAEBRROgBDgQVsGYju2dkWTeYSRRYc8CoDdwcBJpC4M3GbrweBFRVgKILUMxde0U37qlG7NQ4MnJyK9MooHAGxbJFE6AqAvQAwAMqWLOZwMG6tyyDCQK4lbzGKjUXUMCDxrqdphm2qC1ykXDzk7E+l5afWbK7Sh0RK91Msm3d8NZbb+H+++/H9u3bsX//fqxZswYXXHCB/f6VV16Jp556ynHNpEmTsG7duqT6v+uuu3DZZZfh4YcfzviAkPQxR+B6zEzxlu7Fiqu29cf8jussUiej9RIANG4dhteOdT1nOnRu6BdgapjOENREKIoILWi01Zt1CE2KoWONRjZlQ8MYuM7BrN3zWGXdgkGwxqbwdY0BoCEI3qxAb+ZQAoZGh1TRuK/OoDnsNlRN47G10HpeSwvj7ZZHlmNyRQfyQHKjj1b7ZOnTpw/uueceHH300eCc46mnnsL555+PDz/8EMceeyxuuOEGvPLKK1i9ejXKy8sxZ84cXHjhhXjnnXeS6r899REgjcwHYk4uHV6ggrOd7f4u2y7wQsTk23otMAmS4IWqG+O2yOzwOlfBLDd1rhou8rYffthFPtK2ZF3MHc9jP0fEM9i/K4xnsGwXBENDRcEDXbdKtlm/J1REZpJHRFZ72z7mdJNnMcwtFDf5TI4hc5FM6KrrCfu4cePw73//G0uWLMHnn38OALjwwgvxy1/+Er17906LUUTycOiOwWfkoMoeSDGYmSqNv3Wm2wNQjWvQwaFxDsW8VOOAojOEzPidkCpBawbQEATqzbqUkplsSNXAmq0BYzNQ3wjUN0OvD0JvNDpUmgQEgjICqohgxIRd0QENmnNibNXuNEVM4UBIAwKaYUuzKiEQlFHUoECqV8FKzMUCbyMgiYYsa1q4frFlZ32z8QwAgiEJQU1AyLKFm4sUujGItT7HyIUNHuEWGxbsdMlK63FP9uksCjvnzA6ZSKatGxobGzF8+HBcffXVuPDCC2O2Oeuss7BixQr7tdf6/02CPXv22AkOMw3pY3qIWyM4nffgulGGyPoes/C5sB2aQwc0aNA4t3XCmKgbeqnoYR3Wme7QVEvDApqIZkVGUZPxq1euDUHwKmCeZrs8JgBDV4MhwOsxXsuyZbT5vmosUDY2A/XGIioON0CvDUCrUaE0AIFm4x7NioSAZmhvyIog0jlU81kN243PWY3QQuP5eHjKzsILGtbn0vLzND6zFCfwLsi1Qa4bfbTaJ8t5553neP273/0OS5cuxdatW9GnTx88+eSTqKqqwhlnnAEAWLFiBYYOHYqtW7fi5JNPTth/e+ojQBpJEIVIJseQuUgmdDWlOuy9e/fOWmKQJUuW4P7770d1dTWGDx+ORx55BCeddFLc9qtXr8btt9+Or776CkcffTTuvfdenH322e1ocZqIs2PkaMJ1MCY4BqCAcxJvTNXDk2Rjsq5D48YgDgBCuoCADjRpxmS3WZEQrBfhO9wM4dBhoyPRnAgr4R12NDYDtU3gBxuhHw5COWz0F2j0oCnkQaMqodmceAc0hpCuQYUWNRnm0KCYu1whjSOgC2gyr2tSJTQFZRQ1SJAOGwNdABAEc2ivakAgCObzOuzktQGE6ow+GkMyArpgLx4ENYaQzs2BuPG5qNChMtUepOqmXbEGqeEEKuEBa0cjk6ujkydPxuTJk1tt4/V60bNnT5c9G7TnYBQgfcwHLK2Mdd7+t6mTKlOgwvAWUrkOlev2hN1aeFQ4EDQ1ikOHChUK1xEyNdXSsHpVQnHIA2+j0Z8o6WCSCiAAwWwrhFSgIQCU+MITdUk00rZbW/uqBgRDQGMAvC5g3Lc2AO1gCMohjuYaDxqajBruDYoHjZqIRpUhoFmax6FAhwbF9DayJuwMqh65IKGHtdDUab3FhNxYGI72POpIOTwSkckd9kg0TcPq1avR2NiIyspKbN++HYqiYOLEiXabIUOGoF+/ftiyZUtSE/b21kcguxpJxCbZXXW7rbmrbjSL3pUWmARR8EISjEVH0UUddh0iOBQwOxmdeW9rMZWHF3RbW7xLbmc9nBjPeg5B8EAUPJAFPwBAEv1J1GGXjDrsLFyHnXEdgBi2sYX9kTbm2iJkuim0HfZM6GpSE/aPPvoIxx13HARBwEcffdRq22HDhqXFsFj8+c9/xty5c7Fs2TKMHj0aixcvxqRJk7Bz50507949qv27776Lyy67DIsWLcK5556LqqoqXHDBBfjggw9w3HHHZczO9sYaGLUcgHKu2bvs9mTSdPPUzAGoxoyBpaLr9g5RQOMIaECTaryuV2Q0NXhQ8n0AwrdmUhirppGqGy7wANAQhF4bgH44hND3OpoOG4PNugYfaoIe1KsiGsxESM0aR0jjCDFDBA2MQZ/Kg1BM+wKajiaVodG8rlaRUBTwwlevQpR0QDCukfQmiCENrDkEFDcDPnOgKxoDXe27AJrqjV8cDYoHjaqIZmvwqnOoOoeic3tnX2OqubRhiLO1a+T4LFMZpObpINZNqQ2rXV1dneO81+t1tTMeyaZNm9C9e3d06tQJZ5xxBu666y506dIlpb7SDelj/uJccNMAJtnfYY2rkGLpJXSETN/ykMYRMhf/rLAdzg3dCHINAbNdo8pRrzL4FBE+wQMpchefB+APKZBNTyWxPgRWLIMVyWCyuTAqCS0m7Dp4UAVvUqDXGxql1epQ6hiaaj2orffjcMD4rh0OyahVjAl7o+n7HtR0KFyDKiiG7aY5QQ1QTC0EABUcGlOhQYXGw1rYctJuPXfk34WE21JEbjXy448/RmVlJQKBAEpKSrBmzRocc8wx2LFjBzweDyoqKhzte/TogerqarePkTFyRSOJaBJP1AGr+K/TddxwHzf6ECAIHsPlXTQnuYIHkuCHLBQBADzMD4n5IHMvmsVaAECA1YExASFzCGh59jDoAGRwrgDMmvjCnLjrYftMF/mYWe3jTNaj3fjDzyEwDwRBgiT4IIt+SOaE3SeWQxMUqDwI3dRBTQ9C0ZqhM/N3gx4C44IxaTfh5jTVaT/CE3fzGVra2xEn76mMIQknSU3YR4wYgerqanTv3h0jRowAY8zO8B0JYwyalrkY3wceeAAzZ87EVVddBQBYtmwZXnnlFSxfvhy33HJLVPuHHnoIZ511Fn7zm98AAO68806sX78ejz76KJYtW5YxOwmio8GRfCIQq13fvn0d5+fNm4f58+e7vvdZZ52FCy+8EAMHDsSuXbvw29/+FpMnT8aWLVsgiq3XgW4PSB8JorBxo49WeyB5jRw8eDB27NiB2tpaPPfcc5g+fTo2b97cJpvbk1zRSIC8kCzihhu12Im22zp21M14dfO1tSMtCl7IouHZ4xFK4BFK4GflAIAiXgpZ9xhTZnPirwtGCKQkmDHsVrw7JGg85PQYtTEn7a6J9qgy7ifaz8GYYO6wyxAFL7xCCQDAx8oABmhcgQJjYVVhTWBMgKIF7P40vaV1ijEft9YI7NJ1Ea0iq39YdiXwHMhHUhlDEk6SmrDv3r0b3bp1s/+dDUKhELZv345bb73VPicIAiZOnIgtW7bEvGbLli2YO3eu49ykSZOwdu3aTJqaVSJ3jMAM90UhwgWecw0aFHvnWIECBSpCumTvGgU0hmaNod7cYa8JeVDT6EdZdQDSPtMl3hIZVQdvMl2EGlXo9RpCNUBzjQc1dcbq5KFmH2pCHtQq4R32RkVHk6YixEK2i5GBuTvFjF37ZlVHoyqiVjGuK5YkeAUvZMF0VTfF0h9UITc3Q6gPgRU3g/nMpHiyscMerNZR22j8IqkNyWhQBTSZC6EBFQioHCFdt13xVWZ8TrqdEE8zEy9Fx9wXwo5SKquje/fuRVlZmX0+1d31Sy+91P738ccfj2HDhuHII4/Epk2bMGHChJT6TCekj7mMpXvOcZExUNOBFvk/LL00rtGgcSVKL0NcQUg39CWgCWhWOQJaOEknY0adYYVraDbLTjYqAupEBlkQIbFw2RpFFxDSRJQGgvCbO+WeQxqkogCEogCYbPYpscjHMcq2KRxaM6A2mp5CTTKamjyob/aiNujF4ZCxa3QwKONQSECtwtBobqUHNB1BhKBxBRwMATs8iCOgGVoIACGuQGHG89tx/Fyx49gNk2IlpGu5227VMO6YWpnqDnuyGunxeHDUUUcBAEaNGoX3338fDz30EC655BKEQiHU1NQ4dtkPHDiQcghRJsgFjQTIC4kgsgXtsLedpCbs/fv3t//99ddfY8yYMZAk56WqquLdd991tE0n33//PTRNQ48ePRzne/ToYScuaUl1dXXM9q25igWDQQStmGxEu6zlCkYMpjUQtQad0QNQa0Jpu/EwCQIUqMx4rUJFiKum+6axW+nTGBpVoF40BnGHQhKKm/wo+TYE33/qjc7NjU2ucJjhSFCbGIKNEpqbPKht8qE2aAw+vg968H1QwuEQQ03I+CY2KDqauIKA0ADNzBhq2KlC1YMIiEanDXoZGhQRdZLxXD5RgMgkAH4ouoCAavwcljYHUVQfgqdYhehXIRaZA12ZAQJwuLoI3zYW2c9TpxrPCJju+bqOINdsV3yFhQy3eOtzg2KHGER+vk5avtY6zGQ+ldVRqwxRuhk0aBC6du2KL7/8Micm7KSPuQUHj797ZLcxknVGJpmztdKMSRREGTpXoLIgFNNlMgQvgpDRzI3XHlVAvcJQpwj2hL1INEI1AiyABtVsFxIgMgEAg8bDyTebNBGNqoySoBfFjYbW+GUFXo8KWdaMsB8Yiw1M4ODmdbrOoKkCFEVEMGT8rDWGZDQqMuoVGXWqhFrFXHBVBNSEGGpDHHXmhL1BVxAQmqFDgUfQ7cXLRpWjWdXRbLp1BlkIIRaCwoJQufH/rnNj8h6O3dRTzuXRUXaRUt1hT1UjdV1HMBjEqFGjIMsyNmzYgClTpgAAdu7ciT179tgZ2HOBXNBIgLyQLJJzg49uFx5rGrvSjIXj1Y0M8B5Ilgu8UIJidEK53hkAUIpiFAmSkbvI3AhpZnVgTGzRd/heRthhqjvqMR6xhVu/dZ/IezMmQIBguPmbuu/lRSjhpVCgoJk1AgCahMMx76HpYRd+MBn2LrthQItddsB28e/gu+y0w952XCedO/3007F///6o1cja2lqcfvrpGXdnyjSLFi3CggULsm2GTXS2ZEu4ojPDxxyAQnPsAmtchejYMQpCYR6EuISAbghno8IgCSIkU8BFJkBkXnBUoOF9Iw7cLysQGIfOGTQz9j2oSmhSJTSrEuoVCbWK0V+NIqBGYTgYBA4GdPNcCPWsHkHeAFUP2c/GuQ5Vb0aTGeNUj1IcDkoQTeHkYAjpIhpVAbWKiFJzUaC0UUVRjQq/rMIjahCFsMAHVQnfNhVhf7Nh+8GQiJoQQ4NifLZNqm7sOHHV3tlXEITCA3bsqrWY4Ixh16MyIsfOkNwi1jMPRTiXVke/+eYbHDx4EL169YrbZuTIkUkn/fjggw/SZRrpY3thbZnbOBcrjTatJ+psmaTT+O5q0C13Ta5AgwCBK1BhePKEmAwJEkRzh13QGPQgR0AT8U2jcW6gPhRBFoLMZWjM8lrSUW96CWmcIWQmqGtUGWoVESWSDL9o/Gz4RR0eQYNH1O1Yd8YAwVxmAABNN3b0g5poV/MIaCKaNAENqoBGTYC5YY8GFahXOOoVI1cJYERyluvl6IJOePm/HgQ1ayFVQ72moMmcnAeFIEKsGSoP2DHsGlegc8XhtdXS0yi1XB7JVcvIRVLdYU+GW2+9FZMnT0a/fv1QX1+PqqoqbNq0Ca+//jrKy8sxY8YMzJ07F507d0ZZWRmuvfZaVFZWtppwLlv6CGRPI9vDCykfFjSTo4VuRrjDA+FJbjhZm2C7kXuY4VnpZSUo1svRCYZbeQ+fDz2LGAIaUFNjlgdmmq0luq46x1a2RqRv04ODR0ymjeeMXGxkZqWQll5DIiQM8nRGg6LhO90Yc3JBt136AUBnKnSm2PXcjUYqOMSoZ4g5GY+Iy49sZ9md72RyDJmoNDDnHPPmzcMf//hH1NTU4JRTTsHSpUtx9NFHt9qv2/CZTOuq6wk75zymQQcPHkRxcbFrA5Kla9euEEURBw4ccJxvzfWrZ8+ertoDxi/HSIGuq6uLijMjiEIjk2Lb0NCAL7/80n69e/du7NixA507d0bnzp2xYMECTJkyBT179sSuXbtw00034aijjsKkSZPi9hkp1oFAAI899hiOOeYYe9dp69at+PTTT/HLX/7SnbEJIH0kiMIjkxP2b7/9FtOmTcP+/ftRXl6OYcOG4fXXX8ePfvQjAMCDDz4IQRAwZcoUBINBTJo0CY899lirfWZLH4HsaWR7eCHlzIJmK7jaXW+x82y5Vhox3+EJu8AkiEyCwGR7V1rmXvi5D6VmpYs+xQLOPaIWJ2w8F/pCo0TrZ28dhX8eHoVdDRL2Nen4LmBMfmu0ZtQItWhkNQjotQjoxsKHqjUjpDVCMzd5ND0AXQ+CcdXOzG7YKoEJHgjMmFwLggeS6IMs+CGLxs+YVyiBX+iEEl6BTnoFAKCz5EOPIgn9ioFh5QGMGfoNAKDk/sl49ZwPsG6/F0q94UEQQDGCaIIkGPfQeBACl6EjHIsf9oANvwZDiwXL9HkQ5DKZHEMmKg1833334eGHH8ZTTz2FgQMH4vbbb8ekSZPw2WefwefzxezTbfgMkHldTXrCbn0IjDFceeWVjlgrTdPw0UcfYcyYMSkZkQwejwejRo3Chg0b7A9F13Vs2LABc+bMiXlNZWUlNmzYgOuvv94+t379+lZdxdqSyToRrdYWTtuOUYt6uEyHxlUwbq6EcgEak+zEGQITIVgibNURVo27WzvnIZ2hURVxMOTHV43GZ+MXOURz98j6cimcIaQbpYOatHBm9waFo14x3DFrFENoD6MetcL3aFYPQ7UKpHMdHAoUrRnNkuFudFjwgWkC1GZDZAOajLqQgIMyQ6kswy8aP8JFogc+kcMjcEgMYFa2d84Q1BkaNQF15o5TTQioC+loMN1D61UVDXoITawZAWas/Bq7SkGo3NhZs7KD6giHF4RXgZPIjhz3vehsoblIJt2Ztm3bhtNPP91+bU0Ip0+fjqVLl+Kjjz7CU089hZqaGvTu3Rtnnnkm7rzzzla/p/PmzbP//fOf/xy/+tWvcOedd0a12bt3rytb40H6mBmScW9PDt0hsdbAiZnnAaOChs5V+yupQwAEgHFnYkOdaVAEQ8eCvAgNqheyGv5VqkaUzAyag0hBM2qah3QBzZoRzw4AfonBJwrmYfThEThkBsiCnVM4rLXW58KZWTM9IsO7buxeBTSGoM5tN/dm0809oOkImG7sCjdKVCrQsauhybY9CAVBFkKzYJwLsAYovAkh3hzhEm+UMoosb+T0LIr0PLLyAaQvfj0Xd5tSdYlPhieffLLV930+H5YsWYIlS5Yk3Wd76yOQfY1sD2hBkyBik8kxZGulgTnnWLx4MW677Tacf/75AICnn34aPXr0wNq1ax05kiJxGz4DZF5Xk56wl5cbmR455ygtLYXf77ff83g8OPnkkzFz5syUjEiWuXPnYvr06TjhhBNw0kknYfHixWhsbLQ/0GnTpuGII47AokWLAADXXXcdxo0bhz/84Q8455xz8Oyzz2Lbtm144oknMmonQXQ0uIvVUbfrDuPHj4+ZMdji9ddfd9dhC1avXo1t27ZFnb/88stxwgknYPny5W3qHyB9JIhCxo0+Wu1zhfbQRyD7GtkeXkjtvaDpluQWP2NtCoVd3+2+mGBnVw+3Mv4Y/xYhRNwvqHN8XlsCecKLqAsZ4Wx7mrz4b7OImhBHk6ojpBsLfEEWsktJGvmDrEXQ2JsjsRbxIsNDrdeRru46DHd2FSqCZohoQJfRoAj4PihgZ70PDR8b+RQ6//h97GoogsbDn6HIJQiCaC/oMojhMIGI5Kau8xh10Hj2TI4hW2P37t2orq7GxIkT7XPl5eUYPXo0tmzZEnPCnkr4TEsyoatJT9hXrDBcWAYMGIAbb7wxo65L8bjkkkvw3Xff4Y477kB1dTVGjBiBdevW2S5Le/bsgSCEBWTMmDGoqqrCbbfdht/+9rc4+uijsXbt2rzM7hm90xTeMYpMaGF8py1BUu2NetWxkauDC1Zddg0aU6AIQSjc2DUKcD8aQj7UK1aWYRFFogifxOAxP19JAFokLoZuJI2HonMENB0h89vZrGpo0hU0IoB6wYhNb8RhNGoHEVBroemB8DNyFYrWhGblkNGpDChCAE0wEjnVBktRFPKiSJDgE0X4zJ0qj8AgCwJE5nRU4BzQOBDSOQJqOJ60SVPRZO6UB1gAzUIzAqwRIW7sLCl6k7nDbuwqaXoQqh4ydtnNXaqomPYkdpVSFd1si7Wb/bFcc+7y+/145513ouKV3nnnnbjuUG4hfcwC4ZTv5olwfg9bL+14RcslMTJW0dBIwYw31HUVEJweSgKXjbrqZm4LVQhCYs0IsgYAQCOTIQleCBAh8vCvUwEiRCZBMs8FIEPWZHg1GZ6QCK9gDPJkwdBUj8ggm/81ImOmvjL70YQW42zd1DVNN/4GrPrpgKrrRhJNK9O7rkHhOoIwMr4DZhUMpkKFambHNzRLYyoUHoAK83n1oO1dZCUH1bixu27VG7Z23O3fO1y1dTBqsOrI92FpWv7Grlu49R/IJY1sD30Esq+R7eWFRBBENKmMIVvmgEhlQcwKX3ET2pJK+ExLMqGrrmPYI7f8s8GcOXPiiuumTZuizl100UW46KKLMmwVQXRsOGfgPEl3piTbtRfXX389rrnmGnzwwQd2wpD33nsPy5cvx+23357We5E+EkTh4UYfrfa5QnvqI5BdjSQvpBgkkR0++pLYoZnG0p9VaSeIRtaMQ4o5zagHaoIiPqqpsNsHNKBe0c1klyE0mCGJDaweTaiFwpug6kE7DFHXFSQThshbOFWHK4Ao4cVXJiOEBgiCaDsV6LqOYMCPekVGdZOIT0VriiShUdVQE1JQy40QzoDQZCfgjLxPbKywqvD7HSmhXDKkMoZsGU4yb948zJ8/P92mZYRM6GpSE/Yf/vCH2LBhAzp16pQwC166M4oSBJF98nmH/ZZbbsGgQYPw0EMP4ZlnngEADB06FCtWrMDFF1/c5v5JHwmisMnnHfZM6yOQOxpZcF5IBJEjpDKG3Lt3r6PsZSrhJlb4yoEDBxyVhQ4cOIARI0bEvCaV8JmWZEJXk5qwn3/++fYHFZkFj0iNuImUEiSec5akMDJLxkqkBDtbpgAdANcjS71pEAQV3HSBVFnQrDPchJC5utkkeOHlRZBhlEHzal7Iqgw5KJm1hAEJLOoZODhUcGhchwIVQWa42CsshIDQiCCaEOKGK2lAr0NIa4QSkfHTSFYkQNMDCKr1dr+qGERIMK6rF0rgQwm83A+v4oUcMtz2RYiQYNQ6jlz71c1eFa5BM59ZYQqCLAjFtC/IDPd3yw0eCCeZs0rOWS6gYXdPgFsu8Y7V3kg3UPNvu+5mJMm7gebCCmwulXVLhYsvvjhtg8+WkD5mFveJ5wzddFzHdaBFqEykWzxgZD7Wdd0uyWPpps4VO/OxqAehCpL9WmCyEbVp/g0AjBlqxCBCFCx9kiFyCTK8kLgEWTfPaxKMQnGCra0iGCQmmKXc4j+3Dg6Nc+imdmgR2qtCh8bMnS4oUAUVCoL2OQ0KdK6ZaefCiTQ1buxg2aWKuGq4w3NnkrnkdTAyFisJd/gE5IIWxiKTWeLbg0zqI5BbGkleSKkTGS4ERIwrYSY31sMJLCEAmqAgYIYZ1qhFxpgtYtrBoSMEFSEWRFAIIGCGGoV4ExTeBEVvhqYHoZiJiTU9BE0PRYyxNMTXEB3cShAMAToXoprqghEjb419m8U61HI/ZN0LOeiBhHDCUQUKgiyAgBC2MaQ3QNEt24wxY8sSl2E7WyNxpvh8j2NPZQxZVlbmmLCnwsCBA9GzZ09s2LDBnqDX1dXhvffewzXXXBPzmlTCZ2KRbl1NasIe6cKUbZdPgiDaHw4k/asif3+lpAbpI0EUNm700WpfSJBGEkRhk8kxZGulgfv164frr78ed911F44++mi7rFvv3r0di4cTJkzAT37yE3tCnih8Jhu4jmHfu3cvGGPo06cPAOAf//gHqqqqcMwxx2DWrFlpN5AgiOxjrI4mt8uZC7tHnTp1atXtMpJDhw6l7b6kjwRReLjRR6t9NsmWPgKkkQRRiGRyDNlaaeCVK1fipptuQmNjI2bNmoWamhqceuqpWLdunSP5265du/D999/brxOFz8Qi07rqesL+s5/9DLNmzcIVV1xhp8o/7rjjsGrVKlRXV+OOO+5wbUQh0qpbPBAz87F1HYAI1/hIb2rLFdQqMyGAcd0oLWG6LulMhRDh3siYCJU1QxS8duZjkcloZDJEyw2UGS6gIpPtmu0CD5f04BGuPCpTTPcow9UIgJ1tXdODdqZhRW+GqgWg6QFw0w3d8FPVoetBqBF9q3oQitAIAJDEOjQxLwQmQ2LeCBtlMAgO+4znNdKgcOjQuWZ+SopdMgQw3N2N5CGqbZ8OPSoTsuXqxM1zsbPCR/yf2e5jqbvD5wr5tsO+ePHirNyX9DEztOoWH6WZQKRbvAWLdFO0dTMcdsQh2pppdCdAh2qW6jFCYzQmgelh7RMEwxXeLueDcHkfp5u8ABGycY4JEGC61AuicZ4b7xvXm8WReDi4J1LPwk+oO85pUAwXfqbbLu9GO0PvONdszbNKHNkunBEapjnc3bWw9ln3MzPCt14dw/xsY7rBR/4fRZDjYUGtkW877NnSR4A0Mh+Ipbec62BMNN/XAa5Cb1F9SNcV6IIZdiMEEWC1aBSMUAiJ+WwdDN9Hs3VI4wo0swKP5V5uVebR7NBEFdwMybHuCW4FPkZoPXSAs4gSbkbFJM4idIyrEIUQVNaMoGBkIxfNMWVLO40+dHusaF2v6UFoPNLmeBUzYn/Gkb13dDI5hkxUGpgxhoULF2LhwoVx23z11VdR51oLn4lFpnXV9YT9k08+sTPe/eUvf8Hxxx+Pd955B3/729/wi1/8gsSWIDog+RbDPn369Kzcl/SRIAqPfIthz5Y+AqSRBFGI5NsYMhUyrauxazO0gqIodvKQN954Az/+8Y8BAEOGDMH+/fvTax1BEDmB7vLINXbt2oXbbrsNl112Gb799lsAwGuvvYZPP/00rfchfSSIwsOtPuaaRraXPgKkkQRRiOSzPqZKunXV9Q77sccei2XLluGcc87B+vXrceeddwIA9u3bhy5duqRkRKFiu7cnnTEeiHSNZ2Axsx9Htm3NzRMABCZBYwKY3mxnPmZMgMikKBdPBsF2iTJ6N900I75enGu2i2Q487DqyLIOALoeMt2HguA8IoMm5wBU6KabPNd06LoKVQgY99QaIQreKBsF0yXesD9so2WT8ZmFsxhzaKbrkmG/ZW/YFVRv4c6k226hzgyl8V3hrf8nx3stiePGk2suoJwn77mfax7+mzdvxuTJk3HKKafgrbfewu9+9zt0794d//znP/Hkk0/iueeeS9u9SB8zR6t6CbQSTgTEzBoPHWBC3JAicEMLGQ+7u4dd5K3CvQFTFyNd4g2dZExwuMQbGhrWUuO8GHapt8J5YulY3EfWnPoLDVzXTU0L656leQ59s86bmm2db5nx3cr27swQDYcOOt0+XepgAsHINS2MhRt9tNrnCu2pjwBpZM4RNdY0TzuqEllNrZrjhk5aO366rkOHCkGQbPd1QWg2wnvMShmWzgHhOu4t9cgK1eQwxn3W304X8/A4DVyNqw+G/Vb4IqBDA4MOrpnjPmbYKkSOdSPGubFqzVt6GbYldqiQNc6NqY1xa7W3Tj7oYGvk8xgyFTKhq6532O+99148/vjjGD9+PC677DIMHz4cAPDiiy/abk4EQXQsOBj0JA/uqgRX5rnllltw1113Yf369fB4PPb5M844A1u3bk3rvUgfCaLwcKOPuaaR7amPAGkkQRQi+TyGTIVM6KrrHfbx48fj+++/R11dHTp16mSfnzVrFoqKilIygiCI3CafV0c//vhjVFVVRZ3v3r27IytoOiB9JIjCI5932NtTHwHSSIIoRPJ5DJkKmdBV1xN2ABBFEaqq4u233wYADB48GAMGDEjJACKJjPFATDdPbrlOtsh+7Lw8vpsnAHCmArZLZ8jsQoACRLkJRRLprulwaUeEC2aEC6XlLhSZ3ZNzBeBhdyfrc+DQANOtijPdyHzMwy78qhaAIEi2K6plo2V7PCKz2be0L9I1yyDaNdQgjvsnkLas8Lno+uQmrijX4o8qKiqwf/9+DBw40HH+ww8/xBFHHJH2+5E+ZpZWM8YDrWSND2umBeMRP9lMsN2/wwjGt5GblTeYYGgonLqDCC2yzkdqUdgl3unubof0tGjr7Lu1R9Wj/q230KyWLu+Ovx0hPkBL9/dYbZJxgTeuS5AFOYlRWS5qYSzcxl3mkka2tz4CpJG5TWRIZXRVIiA8ttTNsEBww4Wca+FwS003NdFsEmscCbQIVWyhKy3DEA2XfL3FWEuP1hKz4lB4jKyCQzAz3Zs2cNUMERUcOm7ZGotY9kU+h1UtozU3+I5QNSgV8nkMmQqZ0FXXLvGNjY24+uqr0atXL4wdOxZjx45F7969MWPGDDQ1NaVkBEEQuY2V4TPZI5e49NJLcfPNN6O6uhqMMei6jnfeeQc33ngjpk2bltZ7kT4SROHhVh9zSSPbUx8B0kiCKETyVR9TJRO66nrCPnfuXGzevBkvvfQSampqUFNTgxdeeAGbN2/Gr3/965SMIAgit+Euj1zi7rvvxpAhQ9C3b180NDTgmGOOwdixYzFmzBjcdtttab0X6SNBFB5u9TGXNLI99REgjSSIQiRf9TFVMqGrjLdWbT4GXbt2xXPPPYfx48c7zm/cuBEXX3wxvvvuu5QMyVXq6upQXl4OQETcVL1polU3T7tRrDYt3Dwj+2nh6mN0EdlejOlO7myTnItmy2zp0W6XmrMN1w33IDubcUQWaMtlFMx8hkgbIrPWR9uZHNGupC1d5m1frhjPZpxM0gXe6CChRe3n/skBaKitrUVZWVmrLa2f/wVH3wqf6Euq94AWwLwvFiXVf3uyZ88efPLJJ2hoaMDIkSNx9NFHp/0epI/tT0Z0E4ipnUZXTv1seS7aXT7cRyx39+hwI9fr6AAQ5Z7Z8nwsN/b42mfRshJG+NrWXeAj2jmNjP8AcftpbzKrj0BuamR76CNQWBqZC/rYkoR66dDKZMaWRruwboXDJVtqWbyQxejQQ8CpPc5xl6PqhKkpkbph22k/ixBxrjX39/i2R9sXttH5XkcPk0xeH4GONYZMhXTqqusY9qamJvTo0SPqfPfu3cmdiSA6KB0hYUi/fv3Qr1+/jN6D9JEgCo98Tjpn0R76CJBGEkQh0hHGkKmQTl11PWGvrKzEvHnz8PTTT8PnM1ZLmpubsWDBAlRWVqbFKIIgcot8Sxgyd+5c3HnnnSguLsbcuXNbbfvAAw+k7b6kjwRReORb0rls6SNAGkkQhUi+jSFTIdO66nrC/tBDD2HSpEno06ePXT/zn//8J3w+H15//XXXBhAEkfu4SQSSCwlDPvzwQyiKAgD44IMPwGK6RCPu+VQhfSSIwsNtoqRsa2S29BEgjSSIQiTfxpCpkGlddT1hP+644/DFF19g1apV+PzzzwEAl112GaZOnQq/35+SEYRBzBicqEYRP8kxSr1FluIAIku+tSxdBPs850a8juM7wkW0JLlSFxZxYntaluOIS0QZJq6BOcoyqeBcsEsshYm2uXValKOLeo6WcUYdNWYzMW4SgeTC0zz00EN27NOmTZva7b6kj+2PI/dF3EbmT2WMUm/hflroG9fMPiPaxdBPq3tLH407iY4vQriUUOw4zvhx663Fs8fWz1h6zFs+a0SZytavjY7HDPeZhP6FO47/Xtz+8ge3iZKy/aTZ0keANDLbJFUW09XY0mgX1k813L7FD3pyceEt7huzJJqVRyM6ft16zcAidF83Wwh2ziQWod3huPb4tse0zXHT1kq3xbi2g2tiS/JtDJkKmdbVlOqwFxUVYebMmem2hSCIHCXfVkdHjhyJ/fv3o3v37hg0aBDef/99dOnSpV3uTfpIEIVFvu2wZ1MfAdJIgig08m0MmQqZ1tWUJuw7d+7EI488gn/9618AgKFDh2LOnDkYMmRI2gwjCCJ34GDgSWa5TbZdJqmoqMDu3bvRvXt3fPXVV9D19ouKIn0kiMLCjT5a7bNJNvURII0kiEIj38aQqZBpXXU9Yf/rX/+KSy+9FCeccIKdIGTr1q04/vjj8eyzz2LKlClpNbBQybybp7N9VDvbNQiw3DKTy9yYrAtl2KUppjuTdYq1sC/CTdXpyhRpc6KySK25bsZxM43ppBPPNarjuTpxJL/qmQtPNmXKFIwbNw69evUCYwwnnHACRDF2yMR//vOftN2X9DF7uA4pAlrVzpYuoMb1sfUz2lVeRaQOhaVaiP39iBGClDpazLMJXU/thrFc6l3on3Gz+O8l7Df/cKOPVvtski19BEgjc4GEWhlTJxOPLZ39xdARV9+RGONFFx05XP8jXOPD7wOIGFdaRIVBJW1jJIUbHhSPfBtDpkKmddX1hP2mm27CrbfeioULFzrOz5s3DzfddBOJLUEQWeeJJ57AhRdeiC+//BK/+tWvMHPmTJSWlmb8vqSPBEHkOtnSR4A0kiCIjkmmddX1hH3//v2YNm1a1PnLL78c999/f1qMIggit8jH+KOzzjoLALB9+3Zcd9117TIgJX0kiMIj32LYgezoI0AaSRCFSD6OIVMhk7rqesI+fvx4/P3vf8dRRx3lOP/222/jtNNOS5thhEFKbp72BbFdexyuQPZJpxtlTLfPJEnKfTJZ3ygXrkyAO3emcH+t2ZKgrwJx/cznDJ8rVqxot3uRPuYGLb9vrrQzZobkyL5jhNxEucrHuD7KbT6S6BAk9yShe65Cflz0XSA6GI98yxIfSXvqI0AamWu4Cr+0iDO2NPqzSEXH3OtMa5oS9WxRVZbijY/TSIFro0U+jyFTIRO66nrC/uMf/xg333wztm/fjpNPPhmAEX+0evVqLFiwAC+++KKjLUEQ+U+hrI62FdJHgig88nGHPVuQRhJE4ZHJMeSAAQPw9ddfR53/5S9/iSVLlkSdX7lyJa666irHOa/Xi0Ag4O7G7Qzj3E0aCEAQkls1Y4xB02Inv8kn6urqUF5eDqPGd3YzF7a6Ahrzgtbat/7/6PpeEbjdYY/VPur+Uc8S2/5U7C68HXYOQENtba1dMzIe1s//DQNuhVfwJdV7UA/gwa8WJdV/R4P0MTdxpQut6iaQsvbErbWeXP+JoR329JBZfQRII5OhI2hkvugjkG6NBHJhh90i5rMl9QxpoENpI+BGH4H2GUN+9913Dq345JNP8KMf/QgbN27E+PHjo9qvXLkS1113HXbu3GmfY4yhR48eSdmXLVzvsLd3+Q8iTNJunvYF7t09w/eKpA1Z11uxJRlXJsB8ziiXrETuWC0R4NZVPrpzd4KaPwKcGNphTw7Sx9zElXa2qptAyq6gPHryEduO9PwMudOf1DQ8vTbkL7TDnjykkblJmzUSSEonkzOm9S+IW12J6fafSM+SmdCnoIktbSoUMjmG7Natm+P1PffcgyOPPBLjxo2Lew1jDD179nR3oyyT6lI+QRAFBHd5EARBFApu9ZE0kiCIQiIVfayrq3McwWAw4X1CoRCeeeYZXH311WCtLLo0NDSgf//+6Nu3L84//3x8+umnbXm8doEm7ARBJMRaHU32IAiCKBTc6qMbjVy0aBFOPPFElJaWonv37rjgggscrpwAEAgEMHv2bHTp0gUlJSWYMmUKDhw4kOanJAiCSI1U9LFv374oLy+3j0WLFiW8z9q1a1FTU4Mrr7wybpvBgwdj+fLleOGFF/DMM89A13WMGTMG33zzTZqeNjPQhD2P4TH+JL6IJz6i0BMcSfQdw/ZUnjPp54j5DCl8Fq32Gd/OjubulOaPysFbb72F8847D7179wZjDGvXrm1xb4477rgDvXr1gt/vx8SJE/HFF1+k7+GIgsO1drr6gU+kl+GDQzOPdP4x+nRjR1LPmu7PtAPhVh/daOTmzZsxe/ZsbN26FevXr4eiKDjzzDPR2Nhot7nhhhvw0ksvYfXq1di8eTP27duHCy+8MANPShQKKX2XU/kiuPhytFVX0qr5Lr7EhayNFqn8COzduxe1tbX2ceuttya8z5NPPonJkyejd+/ecdtUVlZi2rRpGDFiBMaNG4fnn38e3bp1w+OPP56ux80IrmPYCYIoPGIM61tt64bGxkYMHz4cV199dcxB5n333YeHH34YTz31FAYOHIjbb78dkyZNwmeffQafL/lETwRBEJnAjT5a7ZNl3bp1jtcrV65E9+7dsX37dowdOxa1tbV48sknUVVVhTPOOAOAUVJo6NCh2Lp1q52JnSAIIlukMoYsKytzlZTz66+/xhtvvIHnn3/elW2yLGPkyJH48ssvXV3X3tCEnSCIhGQyYcjkyZMxefLkmO9xzrF48WLcdtttOP/88wEATz/9NHr06IG1a9fi0ksvdXczgiCINNOeSedqa2sBAJ07dwYAbN++HYqiYOLEiXabIUOGoF+/ftiyZQtN2AmCyDrtkbh4xYoV6N69O8455xxX12maho8//hhnn312ajduJ1y7xJ9xxhlYsGBB1PnDhw/bq7tE9ojnJOmuk8y4MaXDHSgb7kyx7l1wLk5ufgzMjyKVhCEt2b17N6qrqx2D0fLycowePRpbtmxJ08OlD9LH/KVN3+s2a6Yb9/U0hCi1QRcLUv8S4fYjTlEjdV3H9ddfj1NOOQXHHXccAKC6uhoejwcVFRWOtj169EB1dXUGHrZtkEbmJ+059sn2fdzcK9G4sOC10SIFfXSDrutYsWIFpk+fDkly7kVPmzbN4U6/cOFC/O1vf8N//vMffPDBB7j88svx9ddf4+c//3kbHzKzuJ6wb9q0CY8++iguuOACRwxVKBTC5s2b02ocQRC5QSpThlQShrTEGnC2rI+Zq4NR0keCKDxSXVZxq5GzZ8/GJ598gmeffTYzD9IOkEYSROGR4rJz0rzxxhvYs2cPrr766qj39uzZg/3799uvDx8+jJkzZ2Lo0KE4++yzUVdXh3fffRfHHHNMCnduP1JKOvfGG2+guroaJ598Mr766qs0mxSbQ4cOYerUqSgrK0NFRQVmzJiBhoaGVq8ZP348GGOO4xe/+EW72EsQHYn2ShjSESB9JIjCIlVHBjcaOWfOHLz88svYuHEj+vTpY5/v2bMnQqEQampqHO0PHDiQs3WGs6GRBEFkjzQ7ekVx5plngnOOH/zgB1Hvbdq0CStXrrRfP/jgg/j6668RDAZRXV2NV155BSNHjmzD07UPKU3Ye/Xqhc2bN+P444/HiSeeiE2bNqXZrGimTp2KTz/9FOvXr8fLL7+Mt956C7NmzUp43cyZM7F//377uO+++zJuK0F0NFJZHbUShliH1+t1fV9rwNmyRFEuD0ZJHwmisEh1hz0ZjeScY86cOVizZg3efPNNDBw40PH+qFGjIMsyNmzYYJ/buXMn9uzZg8rKynQ/alrIhkbSoiZBZI9M77AXAq6TzlmF6L1eL6qqqnDXXXfhrLPOws0335x24yz+9a9/Yd26dXj//fdxwgknAAAeeeQRnH322fj973/favr+oqKinB3YtycdMY6mIz5TrsI5B09y2TPZdskwcOBA9OzZExs2bMCIESMAGHGf7733Hq655pq03SddkD52PJLVGQaWQue5pWGkqanhRh+t9skye/ZsVFVV4YUXXkBpaakdClReXg6/34/y8nLMmDEDc+fORefOnVFWVoZrr70WlZWVOZlwLhsaCRiLmvv377dL41111VWYNWsWqqqqWr1u5syZWLhwof26qKgoo3bmIx1RNzriM2WTbI0hOxKuJ+wtP8jbbrsNQ4cOxfTp09NmVEu2bNmCiooKezAKABMnToQgCHjvvffwk5/8JO61q1atwjPPPIOePXvivPPOw+23396q4AaDQUfil7q6uvQ8BEHkMZnM8NnQ0OAop7F7927s2LEDnTt3Rr9+/XD99dfjrrvuwtFHH22XdevduzcuuOACdzdqB0gfCaLwyGSW+KVLlwIwdnsjWbFiBa688koAhounIAiYMmUKgsEgJk2ahMceeyz5m7Qj2dBIWtQkiOzSHlniOzquJ+y7d+9Gt27dHOemTJmCIUOGYNu2bWkzLJLq6mp0797dcU6SJHTu3LnVxFM/+9nP0L9/f/Tu3RsfffQRbr75ZuzcubPVGn2LFi2KmcGUIAoZN4k73Wrttm3bcPrpp9uv586dCwCYPn06Vq5ciZtuugmNjY2YNWsWampqcOqpp2LdunU5WYOd9JEgCg+3iY1dtU1it8nn82HJkiVYsmSJi56zQzY0sj0XNQmCiCaTY8hCwfWEvX///jHPH3vssTj22GNd9XXLLbfg3nvvbbXNv/71L1d9RhIZw3n88cejV69emDBhAnbt2oUjjzwy5jW33nqrPWEAjB2kvn37pmwDQXQEMrk6On78+FYHpYwxLFy40OGWmKuQPhYu5EJZuLRnHfZ8J50amSzttahJHkgEERvaYW87rifs6eTXv/617dIVj0GDBqFnz5749ttvHedVVcWhQ4dcuSqNHj0aAPDll1/GHZB6vd6UkmMRREeGxLb9IX0kiPyAJuzZIdcWNckDiSBiQ2PItpPVCXu3bt2iXKNiUVlZiZqaGmzfvh2jRo0CALz55pvQdd0eZCbDjh07ABgZSgmCSB7DnSnJhCGZNaVgIH0kiPzAjT5a7Ym2k2uLmuSBRBCxoTFk28nqhD1Zhg4dirPOOgszZ87EsmXLoCgK5syZg0svvdROFvLf//4XEyZMwNNPP42TTjoJu3btQlVVFc4++2x06dIFH330EW644QaMHTsWw4YNy/ITEUR+QaujuQvpI0FkF9phzw65tqhJHkgEERsaQ7adlOqwZ4NVq1ZhyJAhmDBhAs4++2yceuqpeOKJJ+z3FUXBzp070dTUBADweDx44403cOaZZ2LIkCH49a9/jSlTpuCll17K1iMQRN7CubuDaF9IHwkie7jVR9LI9iVyUfMf//gH3nnnnZiLmkOGDME//vEPAMCuXbtw5513Yvv27fjqq6/w4osvYtq0abSoSRApQPrYdvJihx0AOnfu3Gq9zAEDBjgSV/Xt2xebN29uD9MIosPDwaEn7c5EatvekD4SRPZwo49We6J9WbVqFebMmYMJEybYJfAefvhh+/14i5qLFy9GY2Mj+vbtiylTpuC2227L1iMQRN5CY8i2kzcTdoIgsoebVU9aHSUIopBwuytEGtn+0KImQWQPGkO2HZqwEwSREN08km1LEARRKLjRR6s9QRBEoUBjyLZDE/YEhFdcacmH6CgYP8ut1T6PuoLzpNu76ZfIb0gfiY5HZvXRbd9E/kL6SHQ83Ouj1Z7GkG2DJuwJqK+vN/9Faz5Ex6K+vh7l5eVJtaUMn0QsSB+Jjkqm9NFqT3R8SB+JjoobfQRoDJkOaMKegN69e+Ozzz7DMcccg71796KsrCzbJnVIrHql9BlnDusz3rNnDxhjdnbcZNBdJAxxk3yJyG9IH9sH0sfM0176aLUnOj69e/fG3r17wTlHv3796PubQUgjM4/1GX/22Weu9BGgMWQ6oAl7AgRBwBFHHAEAKCsrIyHIMPQZZ57y8nLXnzGHi4Qh7k0i8hTSx/aFPuPMk2l9tNoTHR9BENCnTx/U1dUBoO9ve0CfceY54ogjIAjuqoLTGLLt0ISdIIiE0OooQRBEbGiHnSAIIj40hmw7NGEnCCIhnCe/6kn5QgiCKCTc6KPVniAIolCgMWTbcefTUKB4vV7MmzcPXq8326Z0WOgzzjxt+Yyt1dFkD6JwoO9u5qHPOPO0pz6SRhYW9P3NPPQZZ55cHUPOnz8fjDHHMWTIkFavWb16NYYMGQKfz4fjjz8er776qutnam8Yp/z5BEHEoa6uDuXl5fhR+VzILDmRVngQ62sfQG1tLcWSEQTRYUlFHwHSSIIgCoP2GEPOnz8fzz33HN544w37nCRJ6Nq1a8z27777LsaOHYtFixbh3HPPRVVVFe6991588MEHOO6445J7sCxALvEEQSSEm3+SbUsQBFEouNFHqz1BEEShkOkxpCRJ6NmzZ1JtH3roIZx11ln4zW9+AwC48847sX79ejz66KNYtmyZ63u3F+QSTxBEQjiMSrLJHDQUJQiikHCjj6SRBEEUGpkeQ37xxRfo3bs3Bg0ahKlTp2LPnj1x227ZsgUTJ050nJs0aRK2bNmSwp3bD9phJwgiIZThkyAIIjaUJZ4gCCI+qYwhrXKIFl6vN2b8/OjRo7Fy5UoMHjwY+/fvx4IFC3Daaafhk08+QWlpaVT76upq9OjRw3GuR48eqK6uTvZxsgJN2AmCSAjnLtyZKC0GQRAFhBt9tNoTBEEUCqmMIfv27es4P2/ePMyfPz+q/eTJk+1/Dxs2DKNHj0b//v3xl7/8BTNmzEjd6ByDXOJT4He/+x3GjBmDoqIiVFRUZNucDsGSJUswYMAA+Hw+jB49Gv/4xz+ybVKH4a233sJ5552H3r17gzGGtWvXuu6DMiATyUDamH5IGzNLNvSRNLJwIY1MP6SRmSVbY8i9e/eitrbWPm699dak7lVRUYEf/OAH+PLLL2O+37NnTxw4cMBx7sCBA0nHwGcLmrCnQCgUwkUXXYRrrrkm26Z0CP785z9j7ty5mDdvHj744AMMHz4ckyZNwrfffptt0zoEjY2NGD58OJYsWZJyHzQYJZKBtDG9kDZmnmzoI2lk4UIamV5IIzNPtsaQZWVljiPZcnINDQ3YtWsXevXqFfP9yspKbNiwwXFu/fr1qKysTPn52gMq69YGVq5cieuvvx41NTXZNiWvGT16NE488UQ8+uijAABd19G3b19ce+21uOWWW7JsXceCMYY1a9bgggsuSKq9VZLjlLLZkJIsyaHyIN6pW0IliwoY0sb0QNrYvrSHPgKkkQRpZLogjWxfcnEMeeONN+K8885D//79sW/fPsybNw87duzAZ599hm7dumHatGk44ogjsGjRIgBGWbdx48bhnnvuwTnnnINnn30Wd999d86XdaMddiKrhEIhbN++3ZGxURAETJw4MeczNhYStHtEEO0LaWP+QDvsBNH+kEbmD5nUx2+++QaXXXYZBg8ejIsvvhhdunTB1q1b0a1bNwDAnj17sH//frv9mDFjUFVVhSeeeALDhw/Hc889h7Vr1+b0ZB2gpHNElvn++++haVrMjI2ff/55lqwiWkJZ4gmifSFtzB8oSzxBtD+kkflDJseQzz77bKvvb9q0KercRRddhIsuusjVfbIN7bCb3HLLLWCMtXqQABCFiu7yD9FxIG0kiNZxq4+kkR0L0kiCaB3Sx7ZDO+wmv/71r3HllVe22mbQoEHtY0wB0bVrV4iimJcZGwsJzjg4S05E3ZQ3InIf0sbsQNqYP7jRR4A0sqNBGpkdSCPzBxpDth2asJt069bNjncg2g+Px4NRo0Zhw4YNdhILXdexYcMGzJkzJ7vGETbchTsTiW3HgrQxO5A25g9u9NFqT3QcSCOzA2lk/kBjyLZDE/YU2LNnDw4dOoQ9e/ZA0zTs2LEDAHDUUUehpKQku8blIXPnzsX06dNxwgkn4KSTTsLixYvR2NiIq666KtumdQgaGhoc9Sh3796NHTt2oHPnzujXr19SfejQwZJ0UyJ3psKFtDG9kDZmnvbWR6s9UZiQRqYX0sjMQ2PI3IAm7Clwxx134KmnnrJfjxw5EgCwceNGjB8/PktW5S+XXHIJvvvuO9xxxx2orq7GiBEjsG7duqhEIkRqbNu2Daeffrr9eu7cuQCA6dOnY+XKlUn1YeXuTLYtUZiQNqYX0sbM0976aLUnChPSyPRCGpl5aAyZG1AddoIg4mLV0BxRfhVE5knqGo2HsKN2BdUYJgiiQ5OKPgKkkQRBFAY0hkwflCWeIIiE6Ex3dbhh/vz5URl1hwwZkqEnIQiCSC9u9dGtRr711ls477zz0Lt3bzDGsHbtWsf7nHPccccd6NWrF/x+PyZOnIgvvvgijU9IEASROpnUx0KBJuwEQSQk0yU5jj32WOzfv98+3n777Qw8BUEQRPrJdFm3xsZGDB8+HEuWLIn5/n333YeHH34Yy5Ytw3vvvYfi4mJMmjQJgUAgHY9HEATRJqisW9uhGHaCIBKS6YQhkiRRGRaCIPKSTCedmzx5MiZPnhzzPc45Fi9ejNtuuw3nn38+AODpp59Gjx49sHbtWlx66aWu7kUQBJFuKOlc26EddoIgEmIlDEn2cMsXX3yB3r17Y9CgQZg6dSr27NmTgacgCIJIP271MZ1JlXbv3o3q6mpMnDjRPldeXo7Ro0djy5YtabsPQRBEqmRLHzsStMNOEERCdGhg0JJuCxjJRiLxer3wer1R7UePHo2VK1di8ODB2L9/PxYsWIDTTjsNn3zyCUpLS9tuPEEQRAZxo49WeyB5jWyN6upqAIjKit2jRw/7PYIgiGySyhiScEI77ARBJISDu1gdNQpP9O3bF+Xl5faxaNGimH1PnjwZF110EYYNG4b/397dx1RZ/38cfx0wRAdiKooZhJuJIgTkLfKHONnXpXORTk23DO9aAS6nVua8z7zJkVrelE4lZ0qWtyt0OQpc3iZhQ6dWTkQceNNQwrVUzvn94c9jJ8FzrnM4h3M8z4e7Ns/V5/C5LnKvfd7X9bk+1+DBg5Wfn6+bN29qx44dnjxFAHCKsXw0npEA4MucGUPCFnfYAdhlNpllcnDlzgfPH12+fNnmlRyO3jlq3bq1unbtqj/++MP4gQKAhxnJR8n1jPy3B2t/XL16VR07drTuv3r1qhITEw3/PABobM6MIWGLO+wA7DKrztAmSa1atbLZHB2M1tbW6sKFCzaDTwDwVkbz0dWM/LfOnTsrIiJCBQUF1n01NTU6fvy4kpOTG+0cAcBZzuQjbFGwo9FlZGQoPT39sW0KCwtlMpl08+ZNtx5Lamqq9d3ep06dcmtfkhQdHW3tz93n5llGFgsxdnV0xowZKioqUllZmY4cOaJXXnlFgYGBGjNmjHtOBWhC5KN/56MzGVlbW6tTp05Z/x9dvHhRp06dUnl5uUwmk6ZOnapFixZp3759Ki0t1bhx4/TMM8/Y/XcGeBvy8UnMR8mdY0h/QcGORrdq1Srl5uZaP6empmrq1Kk2bfr376/KykqFhYW5/XgmT56syspKxcXFub2vn3/+WTt37nR7P55mttQZ2oyoqKjQmDFjFBMTo1GjRqlt27Y6duyYwsPD3XQ2QNMhH8lHoxl58uRJJSUlKSkpSZI0bdo0JSUlae7cuZKkd999V1OmTNEbb7yh3r17q7a2VgcOHFBwcHCjnyvgTuTjk5ePknvHkP6CZ9jR6BwJ0aCgII+9d7tly5Ye6ys8PFxt2rTxSF+eZORVG0ZfyZGXl+fMIQE+iXz073x80N6I1NRUWSwNL8RkMpm0cOFCLVy40NDPBbwN+fjk5aPk3jGkv+AOuw/bsmWL2rZtq3/++cdmf3p6ul577bV6v1NWViaTyaS8vDz1799fwcHBiouLU1FRkU27oqIi9enTR82bN1fHjh01c+ZM3bt3z/rfv/nmG8XHx6tFixZq27at0tLSdPv2bUm2U5oyMjJUVFSkVatWWaf6lJWV1TulaefOnerRo4eaN2+u6Oho5eTk2BxTdHS0Fi9erAkTJig0NFRRUVFav3694d9bbm6uWrdubbNvz549MplM1s/z589XYmKiNm3apKioKIWEhCgzM1N1dXX66KOPFBERofbt2+vDDz803L8vsqjO0AY0NfKRfPQUo/lIRqKpkY/koyeRj66jYPdhI0eOVF1dnfbt22fdd+3aNX333XeaMGHCY7/7zjvvaPr06SopKVFycrKGDRumP//8U5J05coVDRkyRL1799avv/6qdevWaePGjVq0aJEkqbKyUmPGjNGECRN09uxZFRYWavjw4fXeAVi1apWSk5Ot04oqKysVGRn5SLvi4mKNGjVKr776qkpLSzV//nzNmTPHZmqUJOXk5KhXr14qKSlRZmam3nrrLZ0/f97or84hFy5c0P79+3XgwAFt375dGzdu1NChQ1VRUaGioiItW7ZMs2fP1vHjx93SvzcxG/wDNDXykXz0FKP5SEaiqZGP5KMnkY+uo2D3YS1atNDYsWO1efNm676tW7cqKipKqampj/1udna2RowYoe7du2vdunUKCwvTxo0bJUlr165VZGSkVq9erW7duik9PV0LFixQTk6OzGazKisrde/ePQ0fPlzR0dGKj49XZmamQkJCHuknLCxMQUFB1mlFERERCgwMfKTdxx9/rEGDBmnOnDnq2rWrMjIylJ2dreXLl9u0GzJkiDIzM9WlSxe99957ateunX788Ucnfnv2mc1mbdq0SbGxsRo2bJgGDhyo8+fPa+XKlYqJidH48eMVExPjtv69Ce/QhK8hH8lHT3H2PexAUyEfyUdPcucYcsmSJerdu7dCQ0PVvn17paen270Qk5uba5218WDz9jU/KNh93OTJk/X999/rypUrku7/I8zIyLCZnlOff7/upVmzZurVq5fOnj0rSTp79qySk5NtfkZKSopqa2tVUVGhhIQEDRo0SPHx8Ro5cqQ2bNig6upql87j7NmzSklJsdmXkpKi33//XXV1D6fHvPDCC9a/m0wmRURE6Nq1ay713ZDo6GiFhoZaP3fo0EGxsbEKCAiw2eeu/r2JxVJnaAO8AflIPnqC0XwkI+ENyEfy0VPcmY9FRUXKysrSsWPHdPDgQd29e1f/+9//rI9ZNKRVq1bWmRuVlZW6dOmSK6fodhTsPi4pKUkJCQnasmWLiouLdebMGWVkZLi1z8DAQB08eFD79+9XbGysPv30U8XExOjixYtu7VeSnnrqKZvPJpNJZrOx6TMBAQGPTL+6e/euQ301Rv++iOlM8EXkI/noCUyJhy8iH8lHT3FnPh44cEAZGRnq0aOHEhISlJubq/LychUXFz/2ew8u2jzYOnTo4Mopuh0F+xNg0qRJys3N1ebNm5WWllbvMz7/dezYMevf7927p+LiYnXv3l2S1L17dx09etQmlA4fPqzQ0FA9++yzku7/Q09JSdGCBQtUUlKioKAg7d69u96+goKCbK5y1qd79+46fPiwzb7Dhw+ra9eu9U6BckV4eLj++usvm6tvnnjHpi9jwRD4KvLRGPLROBadg68iH40hH53jTD7W1NTYbP9dILEht27dkiS7K+7X1tbqueeeU2RkpF5++WWdOXPGtZN0Mwr2J8DYsWNVUVGhDRs22F0s5IE1a9Zo9+7dOnfunLKyslRdXW39bmZmpi5fvqwpU6bo3Llz2rt3r+bNm6dp06YpICBAx48f1+LFi3Xy5EmVl5dr165dun79ujWw/ys6OlrHjx9XWVmZbty4Ue8VxenTp6ugoEAffPCBfvvtN33xxRdavXq1ZsyY4fwvpgF9+/ZVy5YtNWvWLF24cEHbtm17ZHES2LJYzIY2wFuQj8aQj8YZzUcyEt6CfDSGfHSOM/kYGRmpsLAw67ZkyRK7/ZjNZk2dOlUpKSmKi4trsF1MTIw2bdqkvXv3auvWrTKbzerfv78qKioa7ZwbGwX7EyAsLEwjRoxQSEiI9XUY9ixdulRLly5VQkKCfvrpJ+3bt0/t2rWTJHXq1En5+fk6ceKEEhIS9Oabb2rixImaPXu2pPvPfRw6dEhDhgxR165dNXv2bOXk5Oill16qt68ZM2YoMDBQsbGxCg8PV3l5+SNtXnzxRe3YsUN5eXmKi4vT3LlztXDhQrdMz2rTpo22bt2q/Px8xcfHa/v27Zo/f36j9/MkYbonfBX5aAz5aBxT4uGryEdjyEfnOJOPly9f1q1bt6zb+++/b7efrKwsnT59Wnl5eY9tl5ycrHHjxikxMVEDBgzQrl27FB4ers8//7xRztcdTJb63qUAnzNo0CD16NFDn3zyyWPblZWVqXPnziopKVFiYqJnDq4JpaamKjExUStXrvRYn4WFhRo4cKCqq6sfeV+nr6mpqVFYWJjahvZSgKmZQ98xW+7pz79O6tatW2rVqpWbjxCwj3ysH/noGmfyUSIj4V3Ix/qRj67z5BgyOztbe/fu1aFDh9S5c2fDxzpy5Eg1a9ZM27dvN/xdT+AOu4+rrq7W7t27VVhYqKysrKY+HK+0du1ahYSEqLS01O199ejRo8Erxb6M17rBF5GP9pGPruO1bvBF5KN95GPjcOcY0mKxKDs7W7t379YPP/zgVLFeV1en0tJSdezY0fB3PcXxS8LwSklJSaqurtayZcsUExPT1Ifjdb788kv9/fffkqSoqCi395efn29dMfRJunNisZhl0eNf9fLvtoA3IB8fj3xsHEby8UF7oKmRj49HPjYed44hs7KytG3bNu3du1ehoaGqqqqSdP9xjxYtWkiSxo0bp06dOlmfg1+4cKH69eunLl266ObNm1q+fLkuXbqkSZMmGerbkyjYfVxZWZmh9tHR0Y+8kuJJ1qlTJ4/299xzz3m0P8+pM3DNkxWQ4R3Ix8cjHxuLkXy83x5oauTj45GPjcl9Y8h169ZJuv8Iw79t3rzZuo5BeXm5AgIeTiqvrq7W5MmTVVVVpaefflo9e/bUkSNHFBsba6hvT6JgB2DX/Sue3GEHgP8yko8P2wOAf3DnGNKRi0iFhYU2n1esWKEVK1YY6qepUbADsIuCHQDqR8EOAA1jDOk6CnYAdplllsnRsOWVRQD8iJF8lMhIAP6FMaTrKNgB2MXVUQCoH3fYAaBhjCFdR8EOwC6LxfFFQIy0BQBfZzTzyEgA/oQxpOso2AHYdf+9mI5d9eQdwwD8iZF8fNgeAPwDY0jXUbADsMvIFCWmMwHwJ8ZXNSYjAfgPxpCuo2AHYBdhCwD1o2AHgIYxhnQdBTsAu4ys2skKnwD8idHMIyMB+BPGkK6jYAdgF1dHAaB+3GEHgIYxhnQdBTsAuwhbAKgfBTsANIwxpOso2AE4wEiAErYA/InRzCMjAfgTxpCuomAHYBdXRwGgftxhB4CGMYZ0HQU7ALtYMAQA6seicwDQMMaQrqNgB2CXxWKRo9OU7rcFAP9gJB8ftgcA/8AY0nUU7AAcUCfJ5GBbwhaAPzGSjxIZCcC/MIZ0FQU7ALvuP1PkWNhydRSAPzGSj/fbk5EA/AdjSNdRsANwgJEBKWELwJ8YK9jJSAD+hTGkqyjYAdhn5A4SV0cB+BODd9jJSAB+hTGkywKa+gAAeD+LwT/OWLNmjaKjoxUcHKy+ffvqxIkTjXwWAND4jOajMxlJPgLwVd6Wj19//bW6deum4OBgxcfHKz8/39lT8xgKdgAOMBvcjPnqq680bdo0zZs3T7/88osSEhI0ePBgXbt2rbFOAADcxGg+GstI8hGAb/OefDxy5IjGjBmjiRMnqqSkROnp6UpPT9fp06edPjtPMFl4uh9AA2pqahQWFiapmUyOLhgii6R7unXrllq1auXQd/r27avevXtr9erVkiSz2azIyEhNmTJFM2fOdPLoAcB9nMlHyXhGko8AfJEnxpBG83H06NG6ffu2vv32W+u+fv36KTExUZ999plDx9gUuMMOwAFGpjIZuwZ4584dFRcXKy0tzbovICBAaWlpOnr0aCOfBwA0NqPTPR3PSPIRgO/znnw8evSoTXtJGjx4sNfnKYvOAXCQsUK8pqbG5nPz5s3VvHnzR9rduHFDdXV16tChg83+Dh066Ny5c8YPEwA8zvhkRUcyknwE8GRo/DGkM/lYVVVVb/uqqipDx+dp3GEH0KCgoCBFRERIqjO0hYSEKDIyUmFhYdZtyZIlTXMSAOAGzuYjGQnAHzCGbDzcYQfQoODgYF28eFF37twx9D2LxSKTyfZ5pfrurktSu3btFBgYqKtXr9rsv3r16v8HPQB4H2fzUXI8I8lHAL7K3WNIZ/IxIiLCJ/OUgh3AYwUHBys4ONhtPz8oKEg9e/ZUQUGB0tPTJd1fNKSgoEDZ2dlu6xcAXEU+AkDD3JmRzuRjcnKyCgoKNHXqVOu+gwcPKjk52S3H2Fgo2AE0uWnTpun1119Xr1691KdPH61cuVK3b9/W+PHjm/rQAKBJkY8AUD97+Thu3Dh16tTJOqX+7bff1oABA5STk6OhQ4cqLy9PJ0+e1Pr165vyNOyiYAfQ5EaPHq3r169r7ty5qqqqUmJiog4cOPDIwiAA4G/IRwCon718LC8vV0DAwyXb+vfvr23btmn27NmaNWuWnn/+ee3Zs0dxcXFNdQoO4T3sAAAAAAB4IVaJBwAAAADAC1GwAwAAAADghSjYAQAAAADwQhTsAAAAAAB4IQp2AAAAAAC8EAU7AAAAAABeiIIdAAAAAAAvRMEOAAAAAIAXomAHAAAAAMALUbADAAAAAOCFKNgBAAAAAPBCFOwAAAAAAHih/wPpUY/umuTwlAAAAABJRU5ErkJggg==\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\">[08:47:49] </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-3c931e74-ee4c-4867-b548-b7a34edbb2eav1'</span>.      <a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_env\\lib\\site-packages\\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\\anaconda3\\envs\\tidy3d_env\\lib\\site-packages\\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[08:47:49]\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'y_junction'\u001b[0m with task_id \u001b[32m'fdve-3c931e74-ee4c-4867-b548-b7a34edbb2eav1'\u001b[0m.      \u001b]8;id=140711;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_env\\lib\\site-packages\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=994261;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_env\\lib\\site-packages\\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": "bb6a967e2e284a5982decf4ac0a86cd9",
       "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\">[08:47:52] </span>status = queued                                                                            <a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_env\\lib\\site-packages\\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\\anaconda3\\envs\\tidy3d_env\\lib\\site-packages\\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[08:47:52]\u001b[0m\u001b[2;36m \u001b[0mstatus = queued                                                                            \u001b]8;id=609546;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_env\\lib\\site-packages\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=945009;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_env\\lib\\site-packages\\tidy3d\\web\\webapi.py#269\u001b\\\u001b[2m269\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">[08:47:59] </span>status = preprocess                                                                        <a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_env\\lib\\site-packages\\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\\anaconda3\\envs\\tidy3d_env\\lib\\site-packages\\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[08:47:59]\u001b[0m\u001b[2;36m \u001b[0mstatus = preprocess                                                                        \u001b]8;id=577394;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_env\\lib\\site-packages\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=309656;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_env\\lib\\site-packages\\tidy3d\\web\\webapi.py#263\u001b\\\u001b[2m263\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">[08:48:05] </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.171</span>. Use <span style=\"color: #008000; text-decoration-color: #008000\">'web.real_cost(task_id)'</span> to get the billed FlexCredit  <a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_env\\lib\\site-packages\\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\\anaconda3\\envs\\tidy3d_env\\lib\\site-packages\\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>cost after a simulation run.                                                               <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[08:48:05]\u001b[0m\u001b[2;36m \u001b[0mMaximum FlexCredit cost: \u001b[1;36m0.171\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  \u001b]8;id=48270;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_env\\lib\\site-packages\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=883307;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_env\\lib\\site-packages\\tidy3d\\web\\webapi.py#286\u001b\\\u001b[2m286\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m           \u001b[0mcost after a simulation run.                                                               \u001b[2m             \u001b[0m\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span>starting up solver                                                                         <a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_env\\lib\\site-packages\\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\\anaconda3\\envs\\tidy3d_env\\lib\\site-packages\\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=110522;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_env\\lib\\site-packages\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=443826;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_env\\lib\\site-packages\\tidy3d\\web\\webapi.py#290\u001b\\\u001b[2m290\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">[08:48:06] </span>running solver                                                                             <a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_env\\lib\\site-packages\\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\\anaconda3\\envs\\tidy3d_env\\lib\\site-packages\\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[08:48:06]\u001b[0m\u001b[2;36m \u001b[0mrunning solver                                                                             \u001b]8;id=286134;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_env\\lib\\site-packages\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=815080;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_env\\lib\\site-packages\\tidy3d\\web\\webapi.py#300\u001b\\\u001b[2m300\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "fd960dc5631d4d8987ca840317ee674f",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">[08:48:49] </span>early shutoff detected, exiting.                                                           <a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_env\\lib\\site-packages\\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\\anaconda3\\envs\\tidy3d_env\\lib\\site-packages\\tidy3d\\web\\webapi.py#314\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">314</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[08:48:49]\u001b[0m\u001b[2;36m \u001b[0mearly shutoff detected, exiting.                                                           \u001b]8;id=456654;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_env\\lib\\site-packages\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=648581;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_env\\lib\\site-packages\\tidy3d\\web\\webapi.py#314\u001b\\\u001b[2m314\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></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\">           </span>status = postprocess                                                                       <a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_env\\lib\\site-packages\\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\\anaconda3\\envs\\tidy3d_env\\lib\\site-packages\\tidy3d\\web\\webapi.py#331\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">331</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mstatus = postprocess                                                                       \u001b]8;id=378162;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_env\\lib\\site-packages\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=926760;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_env\\lib\\site-packages\\tidy3d\\web\\webapi.py#331\u001b\\\u001b[2m331\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">[08:49:14] </span>status = success                                                                           <a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_env\\lib\\site-packages\\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\\anaconda3\\envs\\tidy3d_env\\lib\\site-packages\\tidy3d\\web\\webapi.py#338\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">338</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[08:49:14]\u001b[0m\u001b[2;36m \u001b[0mstatus = success                                                                           \u001b]8;id=167750;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_env\\lib\\site-packages\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=550351;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_env\\lib\\site-packages\\tidy3d\\web\\webapi.py#338\u001b\\\u001b[2m338\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "fc883870ffba476a97eceadb9a37bde9",
       "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\">[08:49:17] </span>loading SimulationData from data/simulation_data.hdf5                                      <a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_env\\lib\\site-packages\\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\\anaconda3\\envs\\tidy3d_env\\lib\\site-packages\\tidy3d\\web\\webapi.py#510\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">510</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[08:49:17]\u001b[0m\u001b[2;36m \u001b[0mloading SimulationData from data/simulation_data.hdf5                                      \u001b]8;id=582967;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_env\\lib\\site-packages\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=445067;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_env\\lib\\site-packages\\tidy3d\\web\\webapi.py#510\u001b\\\u001b[2m510\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "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": [
    "# extract the transmission data from the mode monitor\n",
    "amp = sim_data[\"mode\"].amps.sel(mode_index=0, direction=\"+\")\n",
    "T = np.abs(amp)**2 \n",
    "\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": "3.10.0"
  },
  "widgets": {
   "application/vnd.jupyter.widget-state+json": {
    "state": {
     "043729a2f33241ccb083bbe8a2e2c543": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {
       "_model_module": "@jupyter-widgets/base",
       "_model_module_version": "1.2.0",
       "_model_name": "LayoutModel",
       "_view_count": null,
       "_view_module": "@jupyter-widgets/base",
       "_view_module_version": "1.2.0",
       "_view_name": "LayoutView",
       "align_content": null,
       "align_items": null,
       "align_self": null,
       "border": null,
       "bottom": null,
       "display": null,
       "flex": null,
       "flex_flow": null,
       "grid_area": null,
       "grid_auto_columns": null,
       "grid_auto_flow": null,
       "grid_auto_rows": null,
       "grid_column": null,
       "grid_gap": null,
       "grid_row": null,
       "grid_template_areas": null,
       "grid_template_columns": null,
       "grid_template_rows": null,
       "height": null,
       "justify_content": null,
       "justify_items": null,
       "left": null,
       "margin": null,
       "max_height": null,
       "max_width": null,
       "min_height": null,
       "min_width": null,
       "object_fit": null,
       "object_position": null,
       "order": null,
       "overflow": null,
       "overflow_x": null,
       "overflow_y": null,
       "padding": null,
       "right": null,
       "top": null,
       "visibility": null,
       "width": null
      }
     },
     "04bebe4be13944b0861a82476cf2475c": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "_dom_classes": [],
       "_model_module": "@jupyter-widgets/output",
       "_model_module_version": "1.0.0",
       "_model_name": "OutputModel",
       "_view_count": null,
       "_view_module": "@jupyter-widgets/output",
       "_view_module_version": "1.0.0",
       "_view_name": "OutputView",
       "layout": "IPY_MODEL_f3adee351d5d41cea2fb906143b6190f",
       "msg_id": "",
       "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: #008000; text-decoration-color: #008000; font-weight: bold\">↓</span> <span style=\"color: #000080; text-decoration-color: #000080; font-weight: bold\">monitor_data.hdf5</span> <span style=\"color: #729c1f; text-decoration-color: #729c1f\">━━━━━━━━━━━━━━━━━━━━━━━━━━━━━</span> <span style=\"color: #800080; text-decoration-color: #800080\">100.0%</span> • <span style=\"color: #008000; text-decoration-color: #008000\">15.4/15.4 MB</span> • <span style=\"color: #800000; text-decoration-color: #800000\">18.1 MB/s</span> • <span style=\"color: #008080; text-decoration-color: #008080\">0:00:00</span>\n</pre>\n",
          "text/plain": "\u001b[1;32m↓\u001b[0m \u001b[1;34mmonitor_data.hdf5\u001b[0m \u001b[38;2;114;156;31m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[35m100.0%\u001b[0m • \u001b[32m15.4/15.4 MB\u001b[0m • \u001b[31m18.1 MB/s\u001b[0m • \u001b[36m0:00:00\u001b[0m\n"
         },
         "metadata": {},
         "output_type": "display_data"
        }
       ]
      }
     },
     "1c4ee4678c2c4c46af1e5c622da16e32": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "_dom_classes": [],
       "_model_module": "@jupyter-widgets/output",
       "_model_module_version": "1.0.0",
       "_model_name": "OutputModel",
       "_view_count": null,
       "_view_module": "@jupyter-widgets/output",
       "_view_module_version": "1.0.0",
       "_view_name": "OutputView",
       "layout": "IPY_MODEL_043729a2f33241ccb083bbe8a2e2c543",
       "msg_id": "",
       "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: #008000; text-decoration-color: #008000\">🏃 </span> <span style=\"color: #008000; text-decoration-color: #008000; font-weight: bold\">Starting 'y_junction'...</span>\n</pre>\n",
          "text/plain": "\u001b[32m🏃 \u001b[0m \u001b[1;32mStarting 'y_junction'...\u001b[0m\n"
         },
         "metadata": {},
         "output_type": "display_data"
        }
       ]
      }
     },
     "6b13357125ae494f8d69723d56c69ab6": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {
       "_model_module": "@jupyter-widgets/base",
       "_model_module_version": "1.2.0",
       "_model_name": "LayoutModel",
       "_view_count": null,
       "_view_module": "@jupyter-widgets/base",
       "_view_module_version": "1.2.0",
       "_view_name": "LayoutView",
       "align_content": null,
       "align_items": null,
       "align_self": null,
       "border": null,
       "bottom": null,
       "display": null,
       "flex": null,
       "flex_flow": null,
       "grid_area": null,
       "grid_auto_columns": null,
       "grid_auto_flow": null,
       "grid_auto_rows": null,
       "grid_column": null,
       "grid_gap": null,
       "grid_row": null,
       "grid_template_areas": null,
       "grid_template_columns": null,
       "grid_template_rows": null,
       "height": null,
       "justify_content": null,
       "justify_items": null,
       "left": null,
       "margin": null,
       "max_height": null,
       "max_width": null,
       "min_height": null,
       "min_width": null,
       "object_fit": null,
       "object_position": null,
       "order": null,
       "overflow": null,
       "overflow_x": null,
       "overflow_y": null,
       "padding": null,
       "right": null,
       "top": null,
       "visibility": null,
       "width": null
      }
     },
     "6d23a84928654d6bbc537874bc05d76c": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "_dom_classes": [],
       "_model_module": "@jupyter-widgets/output",
       "_model_module_version": "1.0.0",
       "_model_name": "OutputModel",
       "_view_count": null,
       "_view_module": "@jupyter-widgets/output",
       "_view_module_version": "1.0.0",
       "_view_name": "OutputView",
       "layout": "IPY_MODEL_c656db18a6b44e07b7ef0d9893b395e0",
       "msg_id": "",
       "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: #008000; text-decoration-color: #008000\">🚶 </span> <span style=\"color: #008000; text-decoration-color: #008000; font-weight: bold\">Finishing 'y_junction'...</span>\n</pre>\n",
          "text/plain": "\u001b[32m🚶 \u001b[0m \u001b[1;32mFinishing 'y_junction'...\u001b[0m\n"
         },
         "metadata": {},
         "output_type": "display_data"
        }
       ]
      }
     },
     "8dffae1fcd4946fb87a0c65323d1299d": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "_dom_classes": [],
       "_model_module": "@jupyter-widgets/output",
       "_model_module_version": "1.0.0",
       "_model_name": "OutputModel",
       "_view_count": null,
       "_view_module": "@jupyter-widgets/output",
       "_view_module_version": "1.0.0",
       "_view_name": "OutputView",
       "layout": "IPY_MODEL_f5837f92c7c8418abeee41d55b7c682c",
       "msg_id": "",
       "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: #800000; text-decoration-color: #800000; font-weight: bold\">↑</span> <span style=\"color: #000080; text-decoration-color: #000080; font-weight: bold\">simulation.json</span> <span style=\"color: #729c1f; text-decoration-color: #729c1f\">━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━</span> <span style=\"color: #800080; text-decoration-color: #800080\">100.0%</span> • <span style=\"color: #008000; text-decoration-color: #008000\">26.5/26.5 kB</span> • <span style=\"color: #800000; text-decoration-color: #800000\">?</span> • <span style=\"color: #008080; text-decoration-color: #008080\">0:00:00</span>\n</pre>\n",
          "text/plain": "\u001b[1;31m↑\u001b[0m \u001b[1;34msimulation.json\u001b[0m \u001b[38;2;114;156;31m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[35m100.0%\u001b[0m • \u001b[32m26.5/26.5 kB\u001b[0m • \u001b[31m?\u001b[0m • \u001b[36m0:00:00\u001b[0m\n"
         },
         "metadata": {},
         "output_type": "display_data"
        }
       ]
      }
     },
     "c656db18a6b44e07b7ef0d9893b395e0": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {
       "_model_module": "@jupyter-widgets/base",
       "_model_module_version": "1.2.0",
       "_model_name": "LayoutModel",
       "_view_count": null,
       "_view_module": "@jupyter-widgets/base",
       "_view_module_version": "1.2.0",
       "_view_name": "LayoutView",
       "align_content": null,
       "align_items": null,
       "align_self": null,
       "border": null,
       "bottom": null,
       "display": null,
       "flex": null,
       "flex_flow": null,
       "grid_area": null,
       "grid_auto_columns": null,
       "grid_auto_flow": null,
       "grid_auto_rows": null,
       "grid_column": null,
       "grid_gap": null,
       "grid_row": null,
       "grid_template_areas": null,
       "grid_template_columns": null,
       "grid_template_rows": null,
       "height": null,
       "justify_content": null,
       "justify_items": null,
       "left": null,
       "margin": null,
       "max_height": null,
       "max_width": null,
       "min_height": null,
       "min_width": null,
       "object_fit": null,
       "object_position": null,
       "order": null,
       "overflow": null,
       "overflow_x": null,
       "overflow_y": null,
       "padding": null,
       "right": null,
       "top": null,
       "visibility": null,
       "width": null
      }
     },
     "d10fb93bf07f4ad3bdeec5adf2c83fae": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "_dom_classes": [],
       "_model_module": "@jupyter-widgets/output",
       "_model_module_version": "1.0.0",
       "_model_name": "OutputModel",
       "_view_count": null,
       "_view_module": "@jupyter-widgets/output",
       "_view_module_version": "1.0.0",
       "_view_name": "OutputView",
       "layout": "IPY_MODEL_6b13357125ae494f8d69723d56c69ab6",
       "msg_id": "",
       "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\">% done (field decay = 6.48e-06) <span style=\"color: #729c1f; text-decoration-color: #729c1f\">━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━</span> <span style=\"color: #800080; text-decoration-color: #800080\">100%</span> <span style=\"color: #008080; text-decoration-color: #008080\">0:00:00</span>\n</pre>\n",
          "text/plain": "% done (field decay = 6.48e-06) \u001b[38;2;114;156;31m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[35m100%\u001b[0m \u001b[36m0:00:00\u001b[0m\n"
         },
         "metadata": {},
         "output_type": "display_data"
        }
       ]
      }
     },
     "f3adee351d5d41cea2fb906143b6190f": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {
       "_model_module": "@jupyter-widgets/base",
       "_model_module_version": "1.2.0",
       "_model_name": "LayoutModel",
       "_view_count": null,
       "_view_module": "@jupyter-widgets/base",
       "_view_module_version": "1.2.0",
       "_view_name": "LayoutView",
       "align_content": null,
       "align_items": null,
       "align_self": null,
       "border": null,
       "bottom": null,
       "display": null,
       "flex": null,
       "flex_flow": null,
       "grid_area": null,
       "grid_auto_columns": null,
       "grid_auto_flow": null,
       "grid_auto_rows": null,
       "grid_column": null,
       "grid_gap": null,
       "grid_row": null,
       "grid_template_areas": null,
       "grid_template_columns": null,
       "grid_template_rows": null,
       "height": null,
       "justify_content": null,
       "justify_items": null,
       "left": null,
       "margin": null,
       "max_height": null,
       "max_width": null,
       "min_height": null,
       "min_width": null,
       "object_fit": null,
       "object_position": null,
       "order": null,
       "overflow": null,
       "overflow_x": null,
       "overflow_y": null,
       "padding": null,
       "right": null,
       "top": null,
       "visibility": null,
       "width": null
      }
     },
     "f5837f92c7c8418abeee41d55b7c682c": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {
       "_model_module": "@jupyter-widgets/base",
       "_model_module_version": "1.2.0",
       "_model_name": "LayoutModel",
       "_view_count": null,
       "_view_module": "@jupyter-widgets/base",
       "_view_module_version": "1.2.0",
       "_view_name": "LayoutView",
       "align_content": null,
       "align_items": null,
       "align_self": null,
       "border": null,
       "bottom": null,
       "display": null,
       "flex": null,
       "flex_flow": null,
       "grid_area": null,
       "grid_auto_columns": null,
       "grid_auto_flow": null,
       "grid_auto_rows": null,
       "grid_column": null,
       "grid_gap": null,
       "grid_row": null,
       "grid_template_areas": null,
       "grid_template_columns": null,
       "grid_template_rows": null,
       "height": null,
       "justify_content": null,
       "justify_items": null,
       "left": null,
       "margin": null,
       "max_height": null,
       "max_width": null,
       "min_height": null,
       "min_width": null,
       "object_fit": null,
       "object_position": null,
       "order": null,
       "overflow": null,
       "overflow_x": null,
       "overflow_y": null,
       "padding": null,
       "right": null,
       "top": null,
       "visibility": null,
       "width": null
      }
     }
    },
    "version_major": 2,
    "version_minor": 0
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}