{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "798fc116",
   "metadata": {},
   "source": [
    "# Waveguide size converter"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6914938e",
   "metadata": {},
   "source": [
    "Note: the cost of running the entire notebook is larger than 1 FlexCredit.\n",
    "\n",
    "It is common to have waveguide components of different widths and potentially thicknesses on a photonic integrated circuit (PIC). Therefore, having a low-loss waveguide size converter becomes a necessity. The most common and simple size converter is adiabatic waveguide tapers. However, to achieve low loss and meet the adiabatic condition, the taper inevitable needs to be very long, which is not ideal in many modern high-density PIC designs. To aleviate this shortcoming of the conventional adiabatic taper, novel designs of compact size converter have emerged. \n",
    "\n",
    "In this notebook, we aim to simulate different types of size converters and compare their performance. We first simulate linear adiabatic tapers of different lengths. Subsequently, we will demonstrate two compact designs: one based on Luneburg lens and the other based on semi-lens emerged from segment optimization. These novel designs achieve ~-0.5 dB loss while being only about 6$\\lambda_0$ in footprint. Linear adiabatic taper can only achieve similar performance while being 30$\\lambda_0$ long."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "36de9cc7",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-28T04:06:55.643177Z",
     "iopub.status.busy": "2023-03-28T04:06:55.642733Z",
     "iopub.status.idle": "2023-03-28T04:06:57.044545Z",
     "shell.execute_reply": "2023-03-28T04:06:57.043896Z"
    }
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import tidy3d as td\n",
    "\n",
    "import tidy3d.web as web\n",
    "from tidy3d.plugins.mode import ModeSolver\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5d524f20",
   "metadata": {},
   "source": [
    "To suppress unnecessary warnings, we set the logging level to `\"ERROR\"`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "7c3bcbfb",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-28T04:06:57.047066Z",
     "iopub.status.busy": "2023-03-28T04:06:57.046749Z",
     "iopub.status.idle": "2023-03-28T04:06:57.068907Z",
     "shell.execute_reply": "2023-03-28T04:06:57.068404Z"
    }
   },
   "outputs": [],
   "source": [
    "td.config.logging_level = \"ERROR\"\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8e88f8a9",
   "metadata": {},
   "source": [
    "Define the simulation wavelength (frequency) range."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "d8828055",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-28T04:06:57.070933Z",
     "iopub.status.busy": "2023-03-28T04:06:57.070786Z",
     "iopub.status.idle": "2023-03-28T04:06:57.090609Z",
     "shell.execute_reply": "2023-03-28T04:06:57.090067Z"
    }
   },
   "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",
    "fwidth = 0.5 * (np.max(freqs) - np.min(freqs))  # width of the frequency distribution\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "52105151",
   "metadata": {},
   "source": [
    "All devices simulated in this notebook are based on silicon waveguide on a thick oxide layer. We define both materials as nondispersive since the simulation wavelength range is relatively small."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "c3086ea4",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-28T04:06:57.092846Z",
     "iopub.status.busy": "2023-03-28T04:06:57.092678Z",
     "iopub.status.idle": "2023-03-28T04:06:57.112959Z",
     "shell.execute_reply": "2023-03-28T04:06:57.112370Z"
    }
   },
   "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": "28da9857",
   "metadata": {},
   "source": [
    "## Linear Taper "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "67db0883",
   "metadata": {},
   "source": [
    "The most straightforward way to connect two waveguides of different widths is via an adiabatic taper. The taper shape can be linear, hyperbolic, Gaussian, and so on. Here, we demonstrate a linear taper and investigate how the loss scales with taper length. To be specific, we model a taper connecting the input waveguide of 10 $\\mu m$ wide to an output waveguide of 500 nm wide. Both waveguides have the same thickness of 110 nm. TE0 mode is launched at the input waveguide.\n",
    "\n",
    "Since we would like to perform a parameter sweep over the taper length, we will define a function called `linear_taper_sim` to construct the simulation. This function will be called repeatedly to make a simulation batch. The structure of the taper including the input and output waveguides can be conveniently made using as a [PolySlab](../_autosummary/tidy3d.PolySlab.html?highlight=polyslab).\n",
    "\n",
    "<img src=\"img/linear_taper.png\" width=\"500\">"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "e7e2e3c7",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-28T04:06:57.115384Z",
     "iopub.status.busy": "2023-03-28T04:06:57.115222Z",
     "iopub.status.idle": "2023-03-28T04:06:57.139515Z",
     "shell.execute_reply": "2023-03-28T04:06:57.138940Z"
    }
   },
   "outputs": [],
   "source": [
    "w_in = 10  # input waveguied width\n",
    "w_out = 0.5  # output waveguide width\n",
    "t_wg = 0.11  # waveguide thickness\n",
    "inf_eff = 1e3  # effective infinity of the model\n",
    "\n",
    "# define the substrate structure\n",
    "sub = td.Structure(\n",
    "    geometry=td.Box.from_bounds(\n",
    "        rmin=(-inf_eff, -inf_eff, -inf_eff), rmax=(inf_eff, inf_eff, 0)\n",
    "    ),\n",
    "    medium=sio2,\n",
    ")\n",
    "\n",
    "# define a function to construct the simulation given the taper length\n",
    "def linear_taper_sim(L_t):\n",
    "\n",
    "    # vertices of the taper\n",
    "    vertices = [\n",
    "        [-inf_eff, w_in / 2],\n",
    "        [0, w_in / 2],\n",
    "        [L_t, w_out / 2],\n",
    "        [inf_eff, w_out / 2],\n",
    "        [inf_eff, -w_out / 2],\n",
    "        [L_t, -w_out / 2],\n",
    "        [0, -w_in / 2],\n",
    "        [-inf_eff, -w_in / 2],\n",
    "    ]\n",
    "\n",
    "    # construct the taper structure using a PolySlab\n",
    "    linear_taper = td.Structure(\n",
    "        geometry=td.PolySlab(vertices=vertices, axis=2, slab_bounds=(0, t_wg)),\n",
    "        medium=si,\n",
    "    )\n",
    "\n",
    "    # add a mode source that launches the TE0 mode at the input waveguide\n",
    "    mode_source = td.ModeSource(\n",
    "        center=(-lda0 / 2, 0, t_wg / 2),\n",
    "        size=(0, 1.2 * w_in, 6 * t_wg),\n",
    "        source_time=td.GaussianPulse(freq0=freq0, fwidth=fwidth),\n",
    "        direction=\"+\",\n",
    "        mode_spec=td.ModeSpec(num_modes=1, target_neff=n_si),\n",
    "        mode_index=0,\n",
    "    )\n",
    "\n",
    "    # add a field monitor to visualize the field distribution at z=t_wg/2\n",
    "    field_monitor = td.FieldMonitor(\n",
    "        center=(0, 0, t_wg / 2), size=(td.inf, td.inf, 0), freqs=[freq0], name=\"field\"\n",
    "    )\n",
    "\n",
    "    # add a flux monitor to measure transmission to the output waveguide\n",
    "    flux_monitor = td.FluxMonitor(\n",
    "        center=(lda0 / 2 + L_t, 0, t_wg / 2),\n",
    "        size=(0, 2 * w_out, 6 * t_wg),\n",
    "        freqs=freqs,\n",
    "        name=\"flux\",\n",
    "    )\n",
    "\n",
    "    # define simulation domain size\n",
    "    Lx = L_t + 2 * lda0\n",
    "    Ly = w_in + 2 * lda0\n",
    "    Lz = t_wg + 1.5 * lda0\n",
    "    sim_size = (Lx, Ly, Lz)\n",
    "\n",
    "    run_time = 3e-12  # run time of the simulation\n",
    "\n",
    "    # define simulation\n",
    "    sim = td.Simulation(\n",
    "        center=(L_t / 2, 0, t_wg),\n",
    "        size=sim_size,\n",
    "        grid_spec=td.GridSpec.auto(min_steps_per_wvl=20, wavelength=lda0),\n",
    "        structures=[linear_taper, sub],\n",
    "        sources=[mode_source],\n",
    "        monitors=[field_monitor, flux_monitor],\n",
    "        run_time=run_time,\n",
    "        boundary_spec=td.BoundarySpec.all_sides(\n",
    "            boundary=td.PML()\n",
    "        ),  # pml is used in all boundaries\n",
    "        symmetry=(0, -1, 0),\n",
    "    )  # a pec symmetry plane at y=0 can be used to reduce the grid points of the simulation\n",
    "    return sim\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1e504189",
   "metadata": {},
   "source": [
    "With the `linear_taper_sim` function defined, we can use it to construct a simulation batch. We aim to simulate taper lengths of 10 $\\mu m$, 20 $\\mu m$, 50 $\\mu m$, and 100 $\\mu m$.\n",
    "\n",
    "To visually verify the simulation setup, we can take a simulation from the batch and use the `plot` method."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "d479a55f",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-28T04:06:57.142133Z",
     "iopub.status.busy": "2023-03-28T04:06:57.141974Z",
     "iopub.status.idle": "2023-03-28T04:06:57.499070Z",
     "shell.execute_reply": "2023-03-28T04:06:57.498571Z"
    }
   },
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "L_ts = np.array([10, 20, 50, 100])  # taper lengths to be simulated\n",
    "sims = {f\"L_t={L_t}\": linear_taper_sim(L_t) for L_t in L_ts}  # make a simulation batch\n",
    "sim = sims[\"L_t=20\"]  # take one simulation (L_t=20) from the batch\n",
    "sim.plot(z=t_wg / 2)  # visualize the simualtion setup\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2bde659d",
   "metadata": {},
   "source": [
    "Submit the simulation batch to the server."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "7fc0413c",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-28T04:06:57.502992Z",
     "iopub.status.busy": "2023-03-28T04:06:57.502808Z",
     "iopub.status.idle": "2023-03-28T04:12:52.234827Z",
     "shell.execute_reply": "2023-03-28T04:12:52.234141Z"
    }
   },
   "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\">[14:13:21] </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'L_t=10'</span> with task_id <span style=\"color: #008000; text-decoration-color: #008000\">'fdve-76b49c8d-9e9c-435f-8ef6-beba91529082v1'</span>.          <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#139\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">139</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[14:13:21]\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'\u001b[0m\u001b[32mL_t\u001b[0m\u001b[32m=\u001b[0m\u001b[32m10\u001b[0m\u001b[32m'\u001b[0m with task_id \u001b[32m'fdve-76b49c8d-9e9c-435f-8ef6-beba91529082v1'\u001b[0m.          \u001b]8;id=641050;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=171257;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#139\u001b\\\u001b[2m139\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
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       "model_id": "c1201a85669e47ea80f2319d464de301",
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       "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\">[14:13:22] </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'L_t=20'</span> with task_id <span style=\"color: #008000; text-decoration-color: #008000\">'fdve-a5541ce2-7157-4b3b-a3c4-c612e0331021v1'</span>.          <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#139\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">139</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[14:13:22]\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'\u001b[0m\u001b[32mL_t\u001b[0m\u001b[32m=\u001b[0m\u001b[32m20\u001b[0m\u001b[32m'\u001b[0m with task_id \u001b[32m'fdve-a5541ce2-7157-4b3b-a3c4-c612e0331021v1'\u001b[0m.          \u001b]8;id=629316;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=850419;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#139\u001b\\\u001b[2m139\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
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       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
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       "\u001b[2;36m[14:13:23]\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'\u001b[0m\u001b[32mL_t\u001b[0m\u001b[32m=\u001b[0m\u001b[32m50\u001b[0m\u001b[32m'\u001b[0m with task_id \u001b[32m'fdve-287eef2b-bd9f-4f87-8a54-22dd34c76acbv1'\u001b[0m.          \u001b]8;id=923375;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=320050;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#139\u001b\\\u001b[2m139\u001b[0m\u001b]8;;\u001b\\\n"
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       "\n"
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   ],
   "source": [
    "batch = web.Batch(simulations=sims, verbose=True)\n",
    "batch_results = batch.run(path_dir=\"data\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3cb1bfcd",
   "metadata": {},
   "source": [
    "After the batch simulation is complete, we can see how the loss scales with the taper length. From the results, we can see that a 10 $\\mu m$ taper has an insertion loss of ~-6 dB and a 20 $\\mu m$ taper has an insertion loss of ~-3 dB. To achieve low loss, the taper needs to be longer than 50 $\\mu m$, which is not sufficiently compact for many applications."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "44ccfc5f",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-28T04:12:57.312836Z",
     "iopub.status.busy": "2023-03-28T04:12:57.312704Z",
     "iopub.status.idle": "2023-03-28T04:13:36.375454Z",
     "shell.execute_reply": "2023-03-28T04:13:36.374884Z"
    }
   },
   "outputs": [
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">[14:19:24] </span>loading SimulationData from data\\fdve-<span style=\"color: #ffff00; text-decoration-color: #ffff00\">cf8b510f-f1bc-473d-a7ec-fe2c99681d88</span>v1.hdf5          <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#512\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">512</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[14:19:24]\u001b[0m\u001b[2;36m \u001b[0mloading SimulationData from data\\fdve-\u001b[93mcf8b510f-f1bc-473d-a7ec-fe2c99681d88\u001b[0mv1.hdf5          \u001b]8;id=414634;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=815372;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#512\u001b\\\u001b[2m512\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# using a for loop to plot the insertion losses at different taper lengths\n",
    "for i, L_t in enumerate(L_ts):\n",
    "    sim_data = batch_results[f\"L_t={L_t}\"]\n",
    "    T = sim_data[\"flux\"].flux\n",
    "    plt.plot(ldas, 10 * np.log10(T), label=f\"{L_t} $\\mu m$ taper\")\n",
    "\n",
    "plt.title(\"Insertion loss for different linear taper lengths\")\n",
    "plt.ylim(-10, 0)\n",
    "plt.xlabel(\"Wavelength ($\\mu m$)\")\n",
    "plt.ylabel(\"Insertion loss (dB)\")\n",
    "plt.legend()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "55b56a24",
   "metadata": {},
   "source": [
    "The field distributions can also be plotted. From the field distributions, we can see the leakage of energy at the abrupt changes where the taper meets the straight waveguide. This leakage is reduced for longer tapers and thus the insertion loss is smaller."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "d0d71e4d",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-28T04:13:36.881036Z",
     "iopub.status.busy": "2023-03-28T04:13:36.880901Z",
     "iopub.status.idle": "2023-03-28T04:13:49.636288Z",
     "shell.execute_reply": "2023-03-28T04:13:49.635771Z"
    }
   },
   "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\">[14:19:24] </span>loading SimulationData from data\\fdve-<span style=\"color: #ffff00; text-decoration-color: #ffff00\">76b49c8d-9e9c-435f-8ef6-beba91529082</span>v1.hdf5          <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#512\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">512</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[14:19:24]\u001b[0m\u001b[2;36m \u001b[0mloading SimulationData from data\\fdve-\u001b[93m76b49c8d-9e9c-435f-8ef6-beba91529082\u001b[0mv1.hdf5          \u001b]8;id=755166;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=983410;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#512\u001b\\\u001b[2m512\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\">[14:19:25] </span>loading SimulationData from data\\fdve-<span style=\"color: #ffff00; text-decoration-color: #ffff00\">a5541ce2-7157-4b3b-a3c4-c612e0331021</span>v1.hdf5          <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#512\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">512</span></a>\n",
       "</pre>\n"
      ],
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       "\u001b[2;36m[14:19:25]\u001b[0m\u001b[2;36m \u001b[0mloading SimulationData from data\\fdve-\u001b[93ma5541ce2-7157-4b3b-a3c4-c612e0331021\u001b[0mv1.hdf5          \u001b]8;id=510186;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=857277;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#512\u001b\\\u001b[2m512\u001b[0m\u001b]8;;\u001b\\\n"
      ]
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       "</pre>\n"
      ],
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44YcxVz6DvOm5RXZcqAB1/jm86jvv2Jdj13HAscyYC2vH0mJNE/OQ/R3GQWXHj/KxmdSYhbVYIWbrGCiJUONkzKt8QYXJYTjej4ODyEoedOZzeHvTlvDMy2zBXrY5CR4x7cz1QW8H4PFf+fWIxccjGzcMjuHUU+Dy31P/sq8je/ivD2w884ZjScyHkZOaWcYsjW+nC3ySZHPa25gWDnp8s348KlQ4jsivyzyWHURsPMh17AVWiAO5d0xjv3azzkn/xrvFuA9/0xrnJz7xCez1+9G3/qtNnwkhUTf9E7Iv/SXLy8ucOHFiKmOYd1TEfEqYZHCYNdJ1UOOZtf2usDfIMTXmlStLhaOGKpY5zMNx2O+9e7cPH4fxYHQQ+Oqv+ybkDbciotEWpWLhZkT9FKef+gKyi588kDHNG6o54ylg1kl5PrU7zqtChd1iLH35uAWjFSpMAbMmD8sxC2OaxfvBLI5pGEf5Xvonf/In2PYV5Nmv3PI7QgjUTf8Ec/kzPPjggwc4uvlBlTFnskFuFkn5pMY0CzeDCvODsUl2RcwrHDLmIdbtRhoybcySDPSwj8WsY9q/VZZlvOz/ew3y7FcidLT9WBo3IE48kSd+1Ysx1744tTHNK451xnzS2ZBJEuBJae0qUl7hsCCkHPtVocJhYFYz5KNQEdE+qmOxO0zzOEVPehGYBHnD03b1fXX+OdjlB/i7v/u7qY1pXnFsM+azSMhh9rLkMHukfJ6LQo8Tqox5hXnCvMSOioQOYlr3uqN6nKexX+12m+zCx1A3PXfXMV+ELeSNT+NrXvBystVHqqZDJVSpqQoVKlSoUKFChQpjYeEpL0DoBuLEk/a0nDzzbGznGu9///unNLL5xLHMmM9itvyoj2m/2O0+HZSV437GMIxZOs6ThJOljJMxr/IFFQ4O83L9zWIGd16O3Tg46tnzSe6TufJZ1M3/bM9Zb6Ej5I3P4Jte/XrMykMTG8+841gS80lgFqUiszim/WLSAXGr9R2mf+7wcrNy7PeLvPPn3hespCwVDgazfq1NgxDO+j7vBQdFmI86Sd8vTi/WWQkaYy0rggZf/9ynTnhE842KmO8Rk74oZ42Uz0rQPujgN2p7uzkW025mMSu/x1hQaqzOn9ZUxLzC9DHL19a04t8s7/NecVgEeb8dU48sqhnSiaEi5nvArGakjwopn7UANwvjmWeSPm7xZ+VjXmHamMVraRbizbQxzRnLSWAcS8GKqDuMHe9FRcyHURHzXWBWs+QwmbEdRlA8rsFrP5hnkl6hwqzgMK+dw4x7h7Xfe2lnP4ytxjzL94/jStSFGDNjXhHzTaiI+QFi1gg5jD+m4xJsZhXzQNKrjHmFWcNxJeWHhWm3t58GJt2IZ9S6juK5sL+M+dE7HvtBRcwrVKgwFUipkJWPeYUKFSoceQgpx6opElJQEfNBVMR8Bxx2ZnoYhz2eo/ikP+/If5NZy5yPa5dYdf6sMGkc9rVxHOPmPO/ztNvXb7fueT1uQsqxEjEu3pvJD2iOMVd3wEceeYTv/M7v5PTp09TrdZ71rGfxt3/7t1Pb3qT025Oy4qtIeYXtMMlzZBLIpzbHeVWoAJOJ+RUpP/xjMI84TNeXnV6ziNwed8+vSmO+CXOTMb9+/Tpf+7Vfy9d//dfz//7f/+PGG2/kC1/4AidPnpzK9malqHIWCk9n4cZSYfcYR38+DVJfacwr7AcHHfOngeMaOw/aX/y4HedZLDAdu6FcRcw3YW6I+U/+5E9yyy23cNdddxXvPelJe2v/ulvs9yQ/KoR8GuOocLCYVZlLhQo74SBj/jRQxc7pohzTpkVU5yV+zgJRd8R87yR7r91CjwPm5lHl93//9/kn/+Sf8MpXvpIzZ87w1V/91fzKr/zKxLdTkfLpjaPC4WG733Jav3MlZamwHxxUzJ8GjnPsPIh93+meNmnZx7z9nrMseamwM+aGmP/jP/4jv/ALv8CXf/mX8/73v59/9+/+HT/4gz/Ir/3ar225TK/XY3V1deC1HQ6blE9aTrCfi3PeAtEsYtaC41bn17TGOL7msCLmFfYe8/ca77dDfq2Meu1m2VnCQcagWdt3mM06r4PCgd6DvI/5npMwVbH/JszNETHG8JznPIef+Imf4Ku/+qv5vu/7Pl7/+tfzi7/4i1su8/a3v52lpaXidcsttxzgiCtUON4QSo39GhfveMc7EELwpje9qXiv2+1y5513cvr0aVqtFrfffjsXL16cwB5WmCb2GvOreF+hwuFh7BnSSmO+CXNzRM6fP8/Tn/70gfee9rSn8eCDD265zFvf+lZWVlaK10MPPbTld2chWz5J7CdTPqtZgd1Uqx9mhnqrcczSGA8SeTHQ3l/jhaV77rmHX/qlX+LZz372wPs//MM/zB/8wR/wW7/1W3zoQx/i0Ucf5RWveMUkdrHCFLHXmL+XeL8VdhP/tsqgz3LsPAjM+r5XmfPp3nfEmBnziphvxtwUf37t134t991338B7n//853nCE56w5TJRFBFF0Y7rPkqkfD9jmZVgs9/jeRhtnPc65sMs1hnl0TuNoH2Qrizr6+u87nWv41d+5Vf4b//tvxXvr6ys8J73vIf3vve9vPjFLwbgrrvu4mlPexof/ehHef7zn7/nbVU4GOw15u823o/Cfq6/WYmbo3AQSYBZ3v9RmJSTyzx0Xx7GNF1sxp7trKQsmzA3R+SHf/iH+ehHP8pP/MRP8MUvfpH3vve9/PIv/zJ33nnnvtZ7VEj5fvXkhxFcDzrjPY1tTXo9h53xnyUM64V7vd6W373zzjt5+ctfzktf+tKB9++9916SJBl4/9Zbb+Xxj388d99999TGXmH/mFbMH8a8EcutcBCxdBzN/axi0sWh83QspnF+jD1DWmXMN2FuMubPfe5z+d3f/V3e+ta38uM//uM86UlP4md+5md43eteN/Y6jwIpn4Ux7IRZI3xljBrbbo/JtPbrqHjz7jdjPqwR/tEf/VHe9ra3bfr++973Pj72sY9xzz33bPrswoULhGHIiRMnBt4/e/YsFy5c2PPYKhwcphHz5x1TlyPMecwZB5OMt/OYRZ8YxJidno/bcdoF5oaYA3zzN38z3/zN3zyRdc07KT/s7W+FoxCMZmUf5p2gSymQcoxj6Zd56KGHWFxcLN4eJVN46KGH+KEf+iH+9E//lFqtNvZYK8wmJhnzR2Eerq1pxqN52P+DghViosdjXjzQJwUpFXKsREyVMR/GXBHzSWHeSfFhb7+M4xJ0DhPTIOijdOaThpACMQYxz5dZXFwcIOajcO+993Lp0iWe85znFO9lWcaHP/xhfu7nfo73v//9xHHM8vLyQNb84sWLnDt3bs9jq1DhoFAR8oPHpMk5HJ8suhgzY151/tyMY0nMK1SoMH0IIcaaptzLMi95yUv41Kc+NfDe93zP93Drrbfylre8hVtuuYUgCPjzP/9zbr/9dgDuu+8+HnzwQW677bY9j61ChQoVKmzG2NLFiphvQkXM94jDzFbPSlfRo/zUP8uYd2nLNLCwsMAzn/nMgfeazSanT58u3r/jjjt485vfzKlTp1hcXOSNb3wjt912W+XIUmFmcRSz5dPIRk8DU3UuOcLZ87z4c8/LVcR8EypivkscNik+7O1PchwV9od5ucGJMTXmdhxd+jZ45zvfiZSS22+/nV6vx8te9jJ+/ud/fqLbqDB/mMVr6KgVd+7FlnUvYzsIKd604+zwuqt7a4UcFTHfBQ6TFE/Szmk/qILGbGESWZ1p39yEGFNjvs8xffCDHxz4u1ar8e53v5t3v/vd+1pvhaOD40jKDxr76e2wm9/nKJDzMvaynZk8V8R4UpbKx3wzqiOyAyYhXRnnwj5sT+syZmUcFTZjln+bvPhznFeFCscJR60R0CSaxO1mHcfV7ncW/eQPy8f8He94B0II3vSmNxXvdbtd7rzzTk6fPk2r1eL222/n4sWL+9zDg0NFzLfBfrtoHnaWvDyWcccxi0GpwiBmtdurFGLsV4UK08CskJijjEneM3ZLzqf9u87DvfCwSbqQsuj+uafXPjLm99xzD7/0S7/Es5/97IH3f/iHf5g/+IM/4Ld+67f40Ic+xKOPPsorXvGK/e7igaEi5lvgsLpozhIpr7B7jMpgzEuGalrjrDLmFWYBh01YdsJRypZPY1/2ss5p/9bzcl88jPN9rGy5VDDmMV1fX+d1r3sdv/Irv8LJkyeL91dWVnjPe97DT//0T/PiF7+Yr/mar+Guu+7iIx/5CB/96EcntbtTRUXMR2A/pHw/26xI+WhsRXpn4Wa70xgOcpyz9rtVqFBhexwlUj5NjHOcphV35yF7nuMg75G5j/lBSVnuvPNOXv7yl/PSl7504P17772XJEkG3r/11lt5/OMfz913372vfTwoVMWfFSpUmAr222CoQoUKFSrMCcb0MUdKjDGsrq4OvB1F0chuzwDve9/7+NjHPsY999yz6bMLFy4QhuFAQzmAs2fPcuHChb2P7xBQZcxL2M+T8CzJV2C88Rx2JmDcjPisZdG3wkGM7TDO360gvV3iOK8KFQ4Seewb9Zrm9qaNeZHTTRPTui/M6v6OwkHcG6UcM+YLwQMPPMDS0tLA6+1vf/vI7Tz00EP80A/9EL/5m79JrVab2v4cJqqMucdhEZpZIuXTwKEVohyAR+y4+5YvN82b/jhjm3grajlet+Wq30SFg8JhkKuD2uY868q32s5+92nSFovz2PRtajVFY9rjIuCJT3wiH//4xwfe3ipbfu+993Lp0iWe85znFO9lWcaHP/xhfu7nfo73v//9xHHM8vLyQNb84sWLnDt3bu/jOwRUxJyjQ8pnQVM+qwFq1LgOu2Byml3gZqEJkRBiLE/y/fqYV6iwE44yIYfjayO4G0wjMTIL8XavmHgiZh/xXgrJ4uLirr7/kpe8hE996lMD733P93wPt956K295y1u45ZZbCIKAP//zP+f2228H4L777uPBBx/ktttu2/P4DgMVMR8Ts3IRzsrDwawcj71gljqvTaNZxmHfLPKpzb3CVhnzClPEUSXl0yp0PKqYNEGfx+z5JDFup+e9kvmFhQWe+cxnDrzXbDY5ffp08f4dd9zBm9/8Zk6dOsXi4iJvfOMbue2223j+85+/5/EdBo49MT+swHOY3UQnOYZJjGNWsNsM9tSmAg+gk12FChV2j0lc6/NGymc5Bk0j2TANectRuSfOK975zncipeT222+n1+vxspe9jJ//+Z8/7GHtGseemI+DwyTEk7rgK1K+PQ5bGz/JLM7hNZyoXFkqzBYOmnROc3vHuZhx0qjI+f4xrsZcCGCfh+qDH/zgwN+1Wo13v/vdvPvd797fig8Jx5qYz9uUZkXKjw8meaM4rJvE+IH6+BKECtPDUSHlx12yMq14VhWG7g9jN4cTYt/E/KjhWBPzcXBYtoizdnHP2niOIuadnEvhrLD2inkiCRXmA+M2qDnI7e2E497N8iAwi7U+hyGrHAdCMFa8H2eZo45jS8znJXtSTVceb8y17nzcDEolZalQYQCzRMBmAdNMNMySa8tOY5ilrPx+7BIrDOLYEvNxcNB2hLNKymchCBwnTOpGMUtBvEKFg8K8PtjOu+XhTuOfRDyb5jE6bGnLXrZd/m5VUzT/qIj5lDErpLzC/GPesudVoK4wrzhsGcs8x//djn0SfRzmjZzD9Md8WDVF43ZtnqNb2oGhIua7xEF20zzuxT0VtsYkbhQHFbjHDdTjLFOhwixgnkj5LOng90PSjyo53892D4WcizE7PVfhfhMqYl6hwj4wHDgPIhjOS+a86vxZocLeMM+Z8klhnPg2bZnevMTcMg5aujhuvK+Y+WZUxHxKOKrZ8lm7cWy1b4c1zoMKhvu9URxERkXIMTMoVefPCnOI/cbZg4xZs5Qt32pd44zxqNXRzNcM6XiznZUry2ZUxHwX2OtJPUtP1vNQ8Dlu4cp2+3bYxTAHcYOYdXJeSVkqzCMOUra4n22Oi1kn5eV1zpKU47CaEM0TOa8wGVTEfIYwiy4sB10EtRdpyG4D1mGS9FmfYq0CdoUKh4uKlG+/7v2Q83wdszCew8bU70WVXeLEUBHzCWNWLtqDltJMa793Io57tRI8rKnOWSbAU+ukV7myVJgzHHS2/KhbIk5qG/tNPuTrmYXxHPY2Zy7ezwhnmiUcW2I+a0++k7pQDkPbPgvHcVyCXl522pjlVtJTyaRVxZ8V5gjzLFkchWmPb1YTDVthkvF3UvxhL2OaNDmfNIQYr9NzFe8349gS82ngsAP1QbedHneb08R+Kvrz5aeJaWXsZ5GcVxrzCvOCwyDls17ovxUOg5AfBhHeCUchcz5JjCtlmTEKMROoiPkOOKipuv1glhxgZgGzpkvcajuzSM4nifED9ezsQ4WjjcMo9Bx3uzth3vTje8UkyXm+vlnAXu8FsxbnczgXrjHGVSViNqEi5hPCQV8os+ACMMvZmb1KW4ZxEFn0aRUnldd9mFBSoMYIurYK1BWmgFmZHZzFIv8yZoWwjsI0Msb72d/DIsmzFOdziHFnSGdnF2YGFTE/ZBx1a67DxqQlHsPHrrKyqlBhtiGsrUh5hS2x3/h7mPeAWcqeC8ZsMFTZsmzC3LbyeMc73oEQgje96U2HPZSxMY6ucVYuQjheBD9H/huUX5Nc76QwC7+N9Bnzvb4qjXmFYRyFeD9pHHXpylaYRRnQYc5Az8pvljeUG+dVYRBzmTG/5557+KVf+iWe/exnj72OSTcKqDAdTCKbPEtZhZ0w78VJZYwrZTEVMa9QwiTi/X4wi9nyeYln08I0YtsszFzOc+Z83GL/qqZoM+buWWV9fZ3Xve51/Mqv/AonT57c9/qsHXyVMc2mMIdlzXXYgeewME/7fVQy5+Nky8cl8xWOJiYd7yscHcxa5vyw7zGHvX18sf+eX1W434S5I+Z33nknL3/5y3npS186/kqscf8bcR5P+9w+LBeACjMQuPaAo0DOK2JeYb+YSLzfB2Yx9k5zTLO4vweNwybnh739CoePuZKyvO997+NjH/sY99xzz66+3+v16PV6xd+rq6vuH0JiLZihk3gcc/y9XERHkZQfxBTaLEwxHgaOkqylQoW9YmLxfgZwHOPXMKbhdDWtuHbY95z9bP/QnGLEmLKU6r60CXOTMX/ooYf4oR/6IX7zN3+TWq22q2Xe/va3s7S0VLxuueWW4jNjLRbILFjca5ioAy67Xn7NMaYpzZk2jquUZ9YKfvcCLUFLMcbrsEde4bAx6XhfYfeYFtEd/ntSRfSzFtMPu4v3JMewF+Qa8z2/5vT+Nk3MzS3w3nvv5dKlSzznOc9Ba43Wmg996EO8613vQmtNlmWblnnrW9/KyspK8XrooYcASI0hNZYks2TGvYwdJOfC2tFEfExyfhSz5WVMwpJsJ0yKpM5aIN8N5nG/KylLhXExyXh/lHBQ94TDcInaD0k/qnrzWRjDrrc3psa8ckvcjLmRsrzkJS/hU5/61MB73/M938Ott97KW97yFpRSm5aJoogoija9/4lP/z033fwETt14I0EQoIRACQtSoIZOElEi4nbI12e3F80sEMGDGsOo7cxi9fw8Sjvmbb/lmCQ7q4j5scck4/24OK6zdGUcRKO17bY7zx0xJ9mpdB5kLePG+ypjvhlzQ8wXFhZ45jOfOfBes9nk9OnTm97fCSYzXLl8iWtXLlFbOsXZM2dp1V1AVzkzt8aR8hIxF2wm5zny62ZS59gsBZj9YjiozEpb5VkL5LvBrLWT3g5KSJTc+6Scqoxtjz0mGe8PE0fJInG/JH2ceLvXbc5aTJ+18UwTYxPzKtxvwtwQ80kis5Aad5Gn168Sr17jzA2nOXH6RsJmA2EyRJYgTAp4Mi4kYApynl9sw7HC2kFyPgsEahbGUEZ5PJPqyrmfjMIkxnHQmIcsyriylErKUuEoYFa6jU4D+/HbzpcfZ5vD69luG+NuZ3ibk5il3O9Y9nOfO6h7nBLjxe4qY74Zc03MP/jBD461nLFOXw6Qn0eXrlzl+tWrnGjWOHf2DK1IgXHZcqE0SI2VekAPNezsMnyCjXtBH6ZV3m62PUmiP8npvnx9hzmOg8R+g/W87W+F441x4/04OOhOkAfZxXOS3YoPK97uNvbNUuLlsGPutLdfSVkmh7km5uMiM2B9xlxKIHMnh1aClbV1Vpev0Wo2uOmGkyyGAhvUsUHNZ82VK1CxfWeXHMbarU+yctHoNlP1h6FrHGd6cday8Dn2e7PI13EcMO1AXWXMKxw3TDPuTmq7s5ZRPojtz0ps3+84Dvt4bwclxiXmUxjMnOOYEnOLMY5UKwtCQWAtBpDejWVjZZnPr67QWFjipsUaS6dvdFlzXKY8s97JxdrCu3PkCbaVs8sUdbSHdXMYF5MmiPsNXoed2dgrZjVYV8S8wjziIFxBZqWB2GHGusMojpyV2L6fccyqjFF5u9u9QlbxfhOOJTFPXbobYyDQAmWhoM/WILIUshQBdFau8YVOk7AtOH/qBCfPnCPzUpji0rAWJZwCPa8d3dJucQschh3efqcSZ1HSkuM4knPY+zkw1UAtBGqMdY+zTIUKk8BxIuXldRzWveCwyHm+zKTXvRccNXJeSVkmh2NJzJPMYjPjpCdGYf3JJBEIm0GWQtZzJ7BUCBUQb6zxD50O4sIVTp85S2vplPPtFAIlcVaLuCy6EqLv6jKEUa4uB61nnMQ25wHHjZzDePs8c4G6yqBUOATs9Ro4SnH3uGXO8+3myx0WDpOcV5hdHEtinllIffGnr+9EAgILWeJIeZo4Yi0V6ASrQqQK6MUJjzz0MOqxCyyduoHGidPUQ41VECnXxco12xnRKVRIhDUD5HyeGgjMIyZBzvP1zAtmRdpSSVkqzAsOgpTPOg6LJO532/sdx25i/DRj6mE9FE16fyqN+eRwPIm5saTGDpwQAoEwqSPkaQJJBwsIHWBN6jLpuO6gmbUkcUJ86TFq1y5x8vSN1E+cRtVDty6TgslGFHzuT1s+azeDWZezTBLTGNs0/N3L6xq3IKxCheOEipRPBvNMznez/WmT83wbe8GsJGEgnyHdO7+ppCybcSyJeWoNxlikF4RLCVrmhDpBpF1M3HPp9BoFwTbWFlaLGRZh3FeySxepL19BnFyidu4mlMjcunJiLqSzWkQO2i16d5cyRp2jk77wZpX8zjomSc5H/aaTdEvI13GY5FyPWQxUdf6scBCo4uBmHHZy5DiT891sfxRmhZyPnTGv4v0mHEtiPuA9LkEhnG1ikiDSGJvEEHcdS079IRISY50+PTG2WIfFIIVEpRmXrlzl6mMPcXqxxdnTp6hFAUiFlRqhwaqwWNcoUj4Ks3DBHSSmcWOYZOA6KGnLpLZzmEG7krJUmAVYIQ7FhnZesV9JS76Ow9j+8FimRc7z700Dh/1wNC6q4s/J4VgS8xzaP+FJ4Z72XLfPBJPE2DRxrN2YIuOdGkisI+ZOCiMASyosmREESmCt5cr1Za4sr3Kqrjl/epHa4mnn4CI1o3zQ89NS+vfz83QebgLTIH6zTs7h4ILnJAj6YZHziphXqDBdzKJjCBx9Wct+1j2p7R/UWHaLceN9xcs341gScykEQrmGQlpAoAQySyBzhNwmPWyaIsIQIR0pNyqg183opZb1OCXOLFoIWpFG29w60SLSGLyM5XoacK2bsdgNOXumxoJOMToiNdZ5qVtX+CCEezgoNyg67ItsL5gWOS+vfxLY1ThHWVxuURewH9K8H5nJuNsbXs+0Me7UZmWXWOGoYh6SDjkmQc7z9Yy7/fJ6Dmscu1n3NNY/K7aOu4VkvNhdZcw349gScyUEWkifMReuWNNkkCaFVYuQCnSAVQGpsSTWEqeWbmpJjQElnbtLIBCAMBlksSPn1mJVhgBWr19leW2DsNHi5A1nOHFiiSTvPIrTtyOHPNBhpKvLrGIWC2NGYaxxlmoFRuGgpx7n0SmmQoUK84dJxLZZIujTJK7TegCYF2nLfqQs85OGPBgcT2LuNeVa5TIWR6qLC0pKhJIghHNlUSFJ5iwWu2lGnHugYyFwUhQlQaSxf/XAZAgTYoSELESogI2NdZZX16k36py44Qxhc5G67pM9qQReHbPJB32U//mW2OQGczA4CO1deTvjYuwAvQ1BP4yinXGOx0FmVSof8woVDgbTjL2HLSspjyNfz2GNYbfbgMn+FvNAzseVskgB2RTGM884lsRcSNBSIkWfpJMO+Y4rDUGElQEoTZZaUuu6huYe6FK7ZV32XRSk3HQ23OcRiEyDyYonwgzL6nqb9Y0HqNciFk/fyOlTpxGBIsBdgAOOLn7A2/mfbxsA7P4sGsfBNKf38nUeavZkC4J+WJnsWdUjVhrzChU2Y5oka1ZlLTkmVRxaXtdhjOEwtnPYfus7QYnxXLiUFBUxH8LsaiOmCIk7gQQjCg+kRCjtXlpjlcZIXejC08xiPM2WwlvCKYE0TqNuOhvO0SXuOneX4mKSpAayzBIbQzczrLe7LF94hIv/+DnWr13GGuNIeZa4QtQs6UtsShi+MAf+HqWRPkTkjgjT9gAfByPHNO7MRHkVexjbJN0iDmO72yEn5uO89oK3v/3tPPe5z2VhYYEzZ87wbd/2bdx3330D3+l2u9x5552cPn2aVqvF7bffzsWLFye5uxUqzASmEW9hskR2EuPba8zb6xgmtb+T/j3mqf6swng4lsRcCKdrksLJUIpLRkjX6VMFEESIIAIVkFlLZp0Ti8E6Yq+Ed3WBQAhEFiOSnJD3XBGp16q7C1OSWktsnE49Ti29zNIzlnYcc+HhL/H5j9/DhQf/EdNZQ8RtSLqILHYE0JbWZSleu8KMkPUdg1O+n1u9hrCbwLzTcdp3wJwhcp5vd1YCt5LjkvO9bedDH/oQd955Jx/96Ef50z/9U5Ik4V/8i3/BxsZG8Z0f/uEf5g/+4A/4rd/6LT70oQ/x6KOP8opXvGLCe1yhwu5wENfprJPzSWG/5PygZjiPum2nHDMJM+MKnUPB8ZSyDP2dn+JWCKTSoDVI6WQsQmFM/ztO+uIcWWpaEUhBoEDEMSKLMUkPG/cQYeQ3JiAvHk0tceZIOYDVLoNu/BNCmiY89thjXLx0iTMnlzi7WEM3Fr3ved/7fMCHnemd2KMu/kMtBNpGQjJqXOVN5P8eNfx9T/9NQC40DTvHfL0Htc1hHJSU5Y//+I8H/v7VX/1Vzpw5w7333ssLXvACVlZWeM973sN73/teXvziFwNw11138bSnPY2PfvSjPP/5z9/zGCscT8yb7ephO3Vsh0n3l5h17Xl5W7B/cj1rJgB5ImavqFxZNuN4ZszxBK18PkjtsuXCObEI5cg5UmFKWVfpuxmGWhJoQSAlCgtpFxt3Xabc5q4uEqsCrAyIM0vPGLqpoZ1mrog0tf1qZGtdwWgaY3sdLly+wicevMoDV9eJ164XX8k91DMLWe6Fbod13aZ4DWM3F/F22ZzdBJM9Z/T3in3MAGw1roHjMg7J3iKjv6dV7DZA7WH/d8rMzUpQnyRWVlYAOHXqFAD33nsvSZLw0pe+tPjOrbfeyuMf/3juvvvuQxljhQo58mu0/JokZllKMUvjGjWWg3Bx2S9m5cFLivEy5hUx34xjmTEvYL0BigWLQPjMtFDaMXefpc6Ra9OlkIRKoCUEUiDSHiJLsXGMzVL3ZSERQYhVIUaHxN2MJIN24lxdcjmMtco9JGSOlOOlK8IosJYrl69weTmitpxx/txZdFQvBq8ETuiOdf6hORkvZZaHi0Z3wm4u8t1kqIffG/76pLPUey6AHDGugTEJufcHgBGZ84kXZuZj2qPzzmFkV/abMV9dXR14P4oioijadlljDG9605v42q/9Wp75zGcCcOHCBcIw5MSJEwPfPXv2LBcuXNjz+CocbxxEdnV4/bPgijIPmEbmfNrFuvk29oNZ+F3HdmU5lunh7XG8ibmHtThyI5Q7S6xy0hGpCtIjhLNX1AZgSMaS+CJNaxBCugLSIAQVYnVIkjkJSztJ6aaGODOESvqGQq4DqchiSLuINHFkWroxiMwVoK6tXOfqtWu0Fpc4cfoMC60mWglCQKn84s712PlFurXEonwd5zFn4OLeQ6Od4fVt9/mWRHgb5Jn/TQ8Y+yTn+bimTc73ij3fQHfwWS9j1DGa1g17v3aJt9xyy8D7P/qjP8rb3va2bZe98847+fSnP81f/dVf7Xm7FY42Jkl2D5rkzppd3iTHM2vyoIMm5/k28+3MK/KM+TjLVRjEsX1WcVrt/v9dhjzPkg8eFilA4YpFQ6kIpUJ5Qu1IdeqaC5nMkXLtikdNEGF1jZ5xRZ/t2ElZUmOLLp9KCaRNEUkPmfSgt47trrti0jR28hZrinGurqzwyP1f5Ev3f5HL11dIjZPDCGsdQTNZ324xfy/f51Lh6PYHZwsyWnp/3ACy18XEwDZHyHO2Ic67VoYMHZPdyFq2kgqNGtM4x2rLm8B25HuLItlNqzigAlElxNgvgIceeoiVlZXi9da3vnXb7b3hDW/g//7f/8sHPvABbr755uL9c+fOEccxy8vLA9+/ePEi586dm/h+V5gtbHW+T9vVY9KYmhPVDGBWx1XGvBbsHhTGdeDaKzE/Di5cx5aY5zA4Yptnx21B0P3JYo3zKpeCQApC7V6BcqRaUCK/KkBEdUStiWy0IKiTqoBuatiI+9lyayxauqx7TQlEbx3ZXcWsXcOsXsesr2A21iBL/ZO6IjGWTmpoJ4aNNGN1dZ2rD93PY/d/gc7lRxEmRSQdZG8dEbcRadcTdNvPOHtNevmVowg4JX368Cv/fBijYtWobYz6/jja7u3I+U6Bc3j/y+MrE/SdxpU/vG1J0HcgyGUd/laa/C21oTsdpz0S9GndbJzz0XgvgMXFxYHXVjIWay1veMMb+N3f/V3+4i/+gic96UkDn3/N13wNQRDw53/+58V79913Hw8++CC33XbbVPa9wvxgP9fAcSbns5zdnYbevLzucc6Z3dZdTctieNrIedLeifnetnMcXLiOrZQlz1jnGnPwU1g56fHZZmGty5ZL6068kiSjoEe5Nl1rsBEiqmELGQukxpIaCv9zpSRaSgIJgQCRdLBxG9vdwPQ6zkM9CIsxZUCSOXtFa0EasMogpWR1Y4P26jL1Rx7m3IkmpxdqCCEgaLitCYkVAVYIjM+um7yQVbjjoEoPISMJeImE7kavPkzG87/LT8ZlCck4U5mbxlKSkGw17TjqIWHU+PKx7SRrsV7DP3I8m8a7u6nQXUt+diOzOYTmUmUoXFfdcZbbC+68807e+9738nu/93ssLCwUuvGlpSXq9TpLS0vccccdvPnNb+bUqVMsLi7yxje+kdtuu61yZKlQYFy5wjxqtyc15qMsaZnWNkbJSLf87hxJXMaVsojKhWsTji0x3xJeAiL8/63JEDhyLqBwcimfSlaIATItggijQ6yKyKzFmD7501J4q0XfmCjtIpIetr2O6Wy4pkR+PbnVYpJBbCwbcUpqIFQCUATSYjzz6XY2+NLGKo+GEWfPnuVMtIxonHA6d3DNkYwtSDkAQ0+rA4WjZYa4Bw3zVuR31xginGXyu+mru3hQEGL38pn8YQ12T863Hc8+iPEwQR8ZoHdLzvPvHlH8wi/8AgAvetGLBt6/6667+O7v/m4A3vnOdyKl5Pbbb6fX6/Gyl72Mn//5nz/gkVY4qjhIcj5revNJYh4fcvZTWD8qETPye3NwXMYu/hSuaH+cYn/YuwtXRcznFI4IGl/QaQGL8NrXjL78xbhPQCqsVAgVIsD5n8sApHSr8Ot1ri4QaidjCaVEJF1E0iHrdhwpT5M+MZcKKwMS47Ll63GGsZAaSagkmbV+eAaRpZDFJGmPh7/U4bHF09x4Q40zKoSoRZoa4syS0zglhEud5xfSMCEvCJ8ndBO4EZSJb76pkVnzPZDzAeyQNZdC7PjgsFdyvuPY9pm1Lh8jtz2xd3I+gXGMAylFUci51+X2AruLG1atVuPd73437373u/c8ngrHB/shvYOWtbNNomA2s+YwWRK6399zL+PYaVvbJYl2Q9BnnZzvp/jzgQceYGlpaeD93RT7H1UXroqYl9DXjeWFkxZs6nTEQxPs1oIxkGGRMkDIAKsSl0lXzhPdCmd56FwNXYY8d3SJlHCZ7zjG9LrYtOdIeU6yggirNEaH9DopG3HKepwBjjzGmXQ9SAUIm0EWI5IewqZYGZBtaB7NDA9eWWHhZIfTN9xI6km2FLnVY87LhSOXubNMmXiCJ3/uuAgYyAqX48RusuWTJueTzFKXxwjuOJXJudue3XZsI7P4fkzlwD0qSA80jho6RvkybntjBugDJuflQs69LlehwjxjK4I2C4SzjEmS83x9s4aDnGHY73HYiaDPk7RlL3jiE5/Ixz/+8YH3dpMtP6ouXBUxH0buZmIyhFAuG1e6CIw3P3dabUuaCQKpQGls5oj4YOGgI7+hEqRGIgXUtEQrb7WYxtikB2naJ3BKI0Ln6JJkll7ad3QBJ4cxnvBrIXzWvQedVYwxrutoECGyGgjFlYsXuXTpEo2lk8jmKRaaNWpKUtelJ1xrSm4uJR90SuS8fJgmmSHZAzmHEcWfm1Y4SITLJHhU1nw4xOV7VtQhjBrfNpnqvXrH59sa9fc4DzHb4gDJebmQc6/LVahwFDGLxGpWMtRlzHp2eCdsdRx2K60cnind9PkMHp9xEzFSCKSULC4u7mm53IXrwx/+8JYuXOWs+Ty5cB1d4ek2KLjo8Ac5uTGZnx4f9gV3C2UW333Tabat1M7VRSpyy0VwmWyFI7+hktS0y5JHWqLzk7iQy+CW0wEijBA6wuqQnvHE3HcLTTLjFShueWlTSJ3NommvYdtr2I1Vb7WYIhFkWOIk49qVy6w+/EW6lx/l4eurdFJLZvwsgXFZd1Jv05ilYNxLjCDHsHvt9m4wcIgHHmzkiIeCQUvL7VxR8uC1l3hR3q2cIJefz4rxlY/FpsZCQ24tQ+PZLUY5x/S3uXdHm/JYpg0pXPHnXl9jzIZWqDAxHAThmQR5nXQHzkm6tcySewyMf6z2M4YtbTp3ucqhnODmz2csgSHEeE5ce92L4+DCdewz5ptOfGsdKTcZWD1wYVnrZNnGP81mBqfzRnpSnju6eEJvDFoq53cuBaFUSAlauKx3P+MpnNeQDhBBiAhrWB1idUTSs3TTjG5qSDKL0u401sJl3UW5eLS9BsYg602EcQ8UGZYss/SMITOQmJTsyhXq+hppssDaqfMsqdBbLPb6ZFK4fbI67O+PDNzu+SxyjlHZ3XF/iy2LHcvHNv/+kGXhThKSPFuxG615/qlgF7rzbTBqXLvN5JcxLK+BvRenDu7g4Tq2VKhw3DGLWc9Zy57P4jEawC4a8Y2St+w2cw7bZ89n6fjkiZW9Yq+JmOPgwnXsiTngSznzP/y/jddcl5DhiifTzFknGuHcTjIsSkjyCQhhMqxJESZBBQGBEgRGYP3RlkJ4vYS/4qRyji5SInSEiOpYHWKEJrUpce6o4i1VQuW91IVAxF2XLd9YxW6suaFLibIGhCD1ji6d2BKbDCkEmePXXFpeI7x6hTgSnD/ZYiFUjkhKjVAKq2sUDZfyYCNk4Yc+DQzUNQ5ru/323RdH682L9ZS/twM5L+Q6o8ZDn5zDZt25oE+Gd9TBjyhO3UuAhv07xwzu3HTJ+UEVf1aoMAs4DLeUaWxzknKbSWjPJ9m2fqJ2mDs1mNsiIVP8fcTIuRgz3os9/ibHwYXr2BJzY9yT2sjz2WRYM9g50+L+zIwltQYyUFK5DLoBm9spGn9RZglkCSpwPuFKgi5l28FLMqRCRDVEUncdRANPzFVIaq23OXTrDJQgUJJQSgIpiJSANLdaXMPEXYQQiLTuNiA1ifWOLklKO8kKQqqkJswEgQ5ZXb3G6vI1FpXhhnSNk2fOIhdOQN3JdHJYqTEIsqGDlhe3wjbBY4u4MUzwtyp63C44jyLEokSW95M5h9HZ84FAuQsyPIqcD2N4PDtp32G2yXmlMa8wC9iSjI3o1TAOyjFpr+RvEqRqWg8Ekybos5A9P9CHpxEE/SiTc8X4GvO94Di4cB1fYo7Th3tjxKEPzaaMea73MgbizCKBTLlsed8b3CCs67ZJCqgEkcYEKkJngsxnyfP1GGtBRYiwhghjR+aDyDUnUprM9JsBKQGBkkRSUNOOmEuTIJKes1rsdsg6PWQY+Ky3wkpNmjj/89VeSifJiqfTmlakGkCAzRBpzFpiWQ2WaKxm3PjwJ7nx1mchVIilDlJhECTGFheGEEM+6Ln0eujCyclwfhy3/V1GEPWRBJ3dkc8BQuyXG0XOy1lzMzTGck3CMDlHDBaD7sp3fZvi1O2Qbx8GyXnx+YyR83GnNsdZpkKF7bCJZA5fG9tcA+X4M4yRGuIjRM5hcqRvN2Pc7lhPcix7xb62O0TQh2cRjgo5F+MmYqYwlnnHsSTmxkJmDCAJjHAZ71H65DxrjpO7GOvkIKmxSOEKQItAgoUswXbbWO+MIqRE6AAd1FBSIIz1CXVLYgy9VBFEDYxJkC2waYJQGqM0+Ey1c3SRRNpp1ZuRphVpaloi4jXorWO7G2RxivWMUiiNDSISqWknKcvdlOudhPVeilYSBXQjhbHOAlLEHeiuYeMYEYZ04hZfatzMoyuKpajOzQ1FLDSdOCPxMw1COLtFJSicXYSfYRiWlAhLSQrTz/QOY1RIyTxpzr9QXPhDMpKB320IonTTtdAfj1+XZDM5L6PcKbVP3ktZ650CYtnlpjQDA/4Bw+/PbrL4w9n7fPx+Ffsj5xNGlTGvMAvIkyqbrg9Gz6yVlxteT/nUPOwM5TBGJUQmhW1j3HaxYwc5x8BqRihKi+VKi+yYyd9hJmS3Yxi13Z16SIxKygzIKktj2sk+dyts9/BymOR83ERMFe43Y24eVt7+9rfz3Oc+l4WFBc6cOcO3fdu3cd999421LgOkBlJjXMbcWs/YHHGyPltuS8S8WNaAMZY0c0S9+Ngapy1PYoi72G7HSVMy72riLzwDJAYSY132WUegXZZc6ACEKi546UlvTUtq2pHzRqAIFM5q0WTYNMXm2WApEEo6vboKSTLopZZOnLHeS2n3MtLMkJa01W6MMba9ju2sYdZXoLcOSYd4Y5ULjzzM33zufh545ALXOylrccZ6bOilbvymFCSESZ3losmKl8hdXXZwJdkulNjS5wNSDyG2z/Tmd2T/+ww8NFgzMJYyGdxKJpcX/uZjKv/+5bFs8lUv/7vkd17+XFhbBKhCFrT1no08JgNjyXGIbi15J7hxXhUqTCrm585Gm0jXqOtxi+VzjJ00tYOvTZ9PgZ3s1R1lu/HBFmPcjXXtJvK694M4aly7OmYjtr/VGEb+LnvY5nYzpZscukbcD/d6CuzpdzoA5BrzPb8qZr4Jc0PMP/ShD3HnnXfy0Y9+lD/90z8lSRL+xb/4F2xsbOx5Xda6bHecOQ23I8ylszwn5GbwgupLX6yXwviMpaDIsNuk533JY2c/aLNiHQZLklrizJBkEBtDKpzziVUBVug+qTMZSkIgXUOimpY0Qvd/Lb2ExGvPhZDIQCG0Roa1ong0NX1Hl25iSDLj7BF9JlMpgch6mI01zMaq+397DdvZQKSJI9cCur2YBx96mPs//xl6y5d5aLldkPPMeoKfE/EsKQi680UvZdFLx3KrazEnv6NeORkddZPdPOMxlH4pXqYfKD05LxPi3YSIrci527FdXFK7IOe7xcTJeYUKM4JJxfzMulf5Wi3ikbWDjdWsKVynylalw7NYA5KY8msEdkP4pomdCPpI0jvpB4gJkHMYk5yP2P7EtrmNZe4wdmOhOylyfhiQ7N0qUZZkrhX6mBspyx//8R8P/P2rv/qrnDlzhnvvvZcXvOAFe1pXZiyxNWghiDNDhhzM2FqDNTmh3hxwhzXIbhnrvp+l2Ljn3srS/rLW69NNVmTrldAkGWjfORQRFwSXLEFhCX0jokagSI0hVBKF6MsXpAStkUGIVAYR1RFhHaMiksS6AlI/xDwbqT3ZD4RwVovdDUy3DUnPadxrsfNHx92Qksw9xJgs5oGHH2Ep0gTyDFeTE0RLdaSQiDRBpF3nf55D6X6nUEkhFcl13sMoH9dRBR7G77MUXkqCGC1p2UpHWupgCoPjyaUkOdw2No8l1+g7L/mhTZamEbfTmpfHlq/C+vEJP1++k7xmFIYLU8eWtUwIlZSlwn4wqZifZM7VygrQspxI6SdN8hg1QLSG1rOprmPoAXs3cpgyttMLTwPj6NC3k03sGROqZRn7uG0jJYHt5STDx2E/sXXAQneo3mincewWh603r7A/zA0xH8bKygoAp06d2vOysclI0RhpSTPJoGLFF31mqfMmz1JE33NlMIuSX+d5oLcZNk0cIU8lNk2LFRuftYkzSzd1BDuUlsRa6kqXIo1x3UCVRiYdQt0gkpJMQ5yKQt9tsM5eMQiRUZ0siV2GP6ohanVXPJoY0sxtXwlASSIviwkURFpA2sV0N7CddUyaOdtH6/T3qIA4g15m6aSG1Fi0FGiR8diFi0T2Edo1qH3FV9FI1pFJpwhQVmowKTaoIaTGWjlSmzGyE2fpmA18198qDWJnLduIKeqScKV/rBkk5zkh3iqklQtfc3K+6Ya9VaAeJWAsArMZIOfWZx9GkfOy5j3fr+Gi0Fkg51XxZ4VJYtyY/4+f/wznz52n0WzSbLVYrEd+ds83UpPSxagSaSyax5Wu2QGJ1ZAsDugnIaxxksQSyjHuMB88x7YMtFuQ0j2vyGxJjEdhq+M2qfHsuVB3r9sdlRxisuT8oB/wtoIcM95XysXNmEtibozhTW96E1/7tV/LM5/5zC2/1+v16PV6xd+rq6uA05fHGKQVpNYOylisxWYpNk1AyCLrXX7QN8b1A8plLeCno0zmls1ShNIFc7dCusLRzDhZSWow1hJKgTEaq0v+52ni/i0VqC5BUCfSgsQIjPLBP5d26BAb1BG1JjJzDway3nJdQ4XEWoP0GfIocDeKRqhphZqaksg0RiY90l6XLB7MdFulsSqklxg6qWG5mxJn7oEiUgKtBIHWXFpb48pff5BTdc35k03qYQAqcM4yYd0dw8DfrOygJrwcfIavzbJcZPg9iQtgedZ8q+t6SwvF4h3JKHJOifiOnB3B3bDz7HkuaSky+OWImt+ot53PHkHO/bEZRc7zcZWz9rsm5weIcav09+prW+HoYzcxf6t4v95NuHjlGvr6NTQua96qRbRqmkWV0lg4gdChW0i6ovjMWC9/8W8LEBYEFs2QFKY/yj45J4/TI2b+7Ga701nCfhvGbVsACVuS82EyOnzshse1JUneKQGxz8x9OXtebHcXrlzFtv0Yt7P0Lda/D3J+0HFfivHOmb33/jz6mEtifuedd/LpT3+av/qrv9r2e29/+9v5sR/7sU3vx6khEU7KkmYWyno6ny23XpJhU1/MmEu/rSfjpp/pLZQT1hZWi3bg4hRk1pAaQ5y5l7GCRpBn3/0VaDNs12WdBYDSyLRBIGsE0lsV4hodJRmEuoYNImSj5XWSFsIaVmny3kVaCiIpaITO1aUVKlqhIlISkaxhYy9hyZ82lEQEETaokUpNJ3NWi8vdhCQzRFqxGGoiZYsHCpslXFve4NrKKksnT3Gmd4WF0zciF06RSQ0ll5lRyMnnMBEufpKhDLGx7iYpy0F5K/vEUYU/lILhEDlHqGI8+faFECOlNdZaDKI0rkF5jaV0k8qj7CjHgB3kNds5tWxFzjeNdegGchAYt5CzKv6sMIzdxPyt4n2S+UJ7hKutzzJWV1dYXU55VEhQGzQWFmnVAhYWlwgWTpJYSZz1rWG1cvRB5SnBISkMjJbDwGZJjGC03elEsUWmFrbPEpfjzK6I8C7jycjOzNtgpy7I+36wGfPhADYfjz2T803bH22jO2o8267ykB/yxo33lXRxM+aOmL/hDW/g//7f/8uHP/xhbr755m2/+9a3vpU3v/nNxd+rq6vccsstzqoQSyZxGfP8xLemny1PUxdQ84x5ab05OTeWzVHXDAdE4bO7TsaSpIYkNaBlITNxyyWucDTuFDptqSNM0iWo1wurPmtd59FEWowOEGETm8aIpoU0QQQhRrrsuEIQKkE99H8ryWKkibQg1CC6PWyvW8rSC0RYR0Q1TFCnm7qOocvdnJhbWoGlW8/IkBgsyhpX8Jl0sNayeiVlOWrQjJvcsnydZtTEmsgfixHWVaXM8HDjovxYQ58EQ94Yyv0t2D5rnv+u/Q3Kgd/T33roZ63zaEuxLTMQqPv/Lo9Diq1J8Y7jyrXvXtqyHTkfzprnY9rOa/2w4p5kvGnKqlS1Qhm7jflbxftuZggzQw1XOA+ASRFp7INPTDuL2VAhj11dJeNBgqiOjprYqEa90aJVC1Ghctefj3mYtF9TU5LDuJkvVVyvm2IG/ViRX5u7zWyOJZ8ov7eNjGTrh//JZPhHyTe2GstO2OuDzXZdofc6hh0bvA1seJsHl12S871g+Pc5yKy5YNwZ0ikMZs4xN8TcWssb3/hGfvd3f5cPfvCDPOlJT9pxmSiKiKJo0/upsaQYFLIInkLgMt1p6sl5zwXPLB04sY0pa8z7050ua5sPtt+YCC9jyayzWEytewnjJDQCJ2ERJnMkubPhJCiArTf7GndPsuLMZXl7maGbCRpBHRv0EMY4+Yy3WxRYlBTUA0UjNUghXMY8cDIW7X3XyzcWFYaIsA5RCxvU6cSGVd+caLWdkFmnIcvtFiXC2S2mPUyn7XzcgwgJbFy7xGdri0Qy5ubWdRbPtrBSDxbb+PW4DLYosuBZiXAWenNAFv/22as+f3aHfbeZitJv05ePqIF/DxPhUSgT4gG9+XDWfHi7W45pa+17WfIzaky7IeeHkTWvUGFc7DXmbxXve5mPvcJirbuCRJZC2kNkCVYFRa8DITXGwPpGG7PRRgLrQtCpR6zUmywtLnC6EVAjQaQ95zwlpIttyiCELFxdMh+/yjN+5Rm2XR+HIeayrY/3HjK1e8GkMvxbkfPi8yEJ327GtBM5HiVp3M0Ydto2sHn77CFrPrT9vTSg26/caBoYt6aomiDdjLkh5nfeeSfvfe97+b3f+z0WFha4cOECAEtLS9Tr9T2tKzWQWIsSfWLozm/vqpLERcbcpgnCmiLTYbBY45xOUk/cypKHUbD+PwbrrbssQXmZXD7T62DiLmQJBhDdDjSSYgu5Rj01BiE0QWoII00Q1sAkkPS3KUxKIDWhdGQ8VBlaSuqBy6KLNEZkKcZkCB2gAOpNZL2BDZ2MpZemrMcpG72UXuqCTJK5YKgQzrkl7WI6G9jOGjYziCzFao3QITbt0W5v8Jl1i772RW4+f46Tp0655aUYuIk4Uu6yTKIUifJvWAuZ/52kD1jlrLmQjthvi3IQHsog5XISR6IHC0HzG6odIbcx1mneNxWDFnrz0UMZDtoDjg7WgqB4UBguTM3J+cixzBA5V2K8Fs3jLFPh6GFSMX8jzmhkFq3yWc4MshiR9BBpF6FCF2dUALpGZr2Ti4/vWgiSdpdG3KOzfJkLWUqoYEFbFkWPVqNBbeGEc8OSrmg+s7bQqef1KBZPpuVg8XremK3/RtmCb+trYTfZ0O0yxds22smX33btpfFO0JVkK4wa07gPDDvpu7fbfrEOSgQZsTU5Hz4+RZalJIuCfqJoj5KfTR2gDylrPnZNUaUx34S5Iea/8Au/AMCLXvSigffvuusuvvu7v3tP60p91juztu+sAn03lizBJLHLX/oCn7JsIM8Yp94H3eREB5xOO4eU5FnQwou7xKQkAilBGGc1aHsd6HVc5l4FLqPtL1pjLXFq6KaZ9wvNCKUgzkCrCCG7IBMnpbEGYVJCrYkygQkE2mikcFpJJYSzZQRXZBpEiCBC1hqI5iImqNNLXXOiJHX+53FqCLUkUMJbOApE2kUmPbLuBqaz4bedYcM6opYV484MpN0e9z/wJS489hg3nDnLuTM3oL1OszgeChCqkLTk2fKsHPOtO6SuEGvoCV1IHwRLMxbDGJCPDOq6C0mLNZsKQbdDmZxvgihnzbMtb2IDhakDN4vJkfNRY5smOa/sEivsB5OK+Z0ko5tm1PMie5s5GUtvHdPrIoLQx8F+zIp9nwsXbiyRFURSoaRE2oy0G3PdGq4LiW33kGtrNOsJC8EqzVNnsc1TJFaQ5d2YBSjpHjqlZ05C9En5TlncrbAd6dqy+H2ErePAOof+nV+Nu5XH7SZbPIqAbpchHh4TpXHBCEnJXrXvO2SpRx3h8jgKI4K9ZM5HEfQtHli2y+JPvV5hlxhbY16lzDdhboj5qOK7cZFZ6woZA4mUjj9LIRBZgkl6EMeYXuKyHGlSCkwua93zWotIO39cA45VSrXVJjdBCXdCauGy16bXxcRdsm4XayxaaR9tJFZIEpOynmRs9FKEFBgsNa2IM0s91G4nrEXYFJEYTNwmkJqa1lhA+RtEIARKAlZilUbUGsjmEgCytQS1BWzYJE7cQ0D+EFILFI1IsVgLWIgUrUAi1lYx68uY9RVsZ8MXjoYIrZ1jjK7RTf0NzroLN7Mx6SMPc/2xBzlzcpEzS02U9HKNyDnKGKHJcNnyNHPHtxzDbAYuxS9K2fNSoBYCKN18RpDx4c/K5FyYFCs1AomSuYzEjsya98mvu4FnFp8dswi/z4WkRfRdHAYC9nClfn6zEP4GXmxnNDkfxpbkPD9C5Zv5FMm5crXEYy1XocKkYv5KL6UVG5Yii5Igel1Eb51s9Tqmu4GsNVFBiI1aWOF6W7QTw2ovJc0soXa1OXVtCSVutrG37sg9BisDbG+dtW6T1bBBuvIQiXmIRrNJq9ly7lRhg3qoaQbSyQrBSxj7lrpCmCLeA0VcG4WdMqKbYkv5MxggxWXStxUBHUWdtnNCyde/HUEfIMV+HeWs9U5ylq1mBbfFiKLYveq7N9n4FnLGoRjrk3IDx88aNrP+0sCH65+2IOfDx2aYnB9G1lwwniylouWbMTfEfJIYyFp7oiOsd1NJE0yWYo3p3xj8NGSa9b1tM2vJMmd7OJodGV8Iavx2/KqkQFmBEM7GUAn/XZ+pt8YyYJAuRDEtmlstCikIpSTOjPMHx5Nyb7cohPD6yZgg0CTGrSMfZmbACoVQASKqI+sNkApZb2B0iJUakxNW4RxdAiVpRprFSNPQCpl2kb02WWetX7CqQkQYuc6jQR2ja3S6KYk/boESSCHJFCRJyqOPPMzFR+HMjTdyrqUdya5LZBBgsYVOM/cUzi3LyMmy6Du0FGYJQzZUYkQWYsQJ4faVEjkfylTn+vecnA8snv/kdnNBqBunD9LCZ+R3cpAZkNsMusaMIuejbB13cms5iEA9rn1WlUCpMEn0UkNsjIsVAjApptN2XY7jjrOWTWI/M+ocXNpxxnrPJSZCYwiVwFhXh0IWI9Iupr0OxiDC0GdpncUsWpFklmvLa1xbXiuaui0265iFFq1GnXBxCSGM81I3KUjtej+UXF3yy3OUl/emZOt2meLydS5EQf7yeLJVs7c9X4fDMkF2JuhbFoQOcdetkhCjZgX3lDUvz0wOkfNynM0xyj53oIagJG0pJ0B2tlEcJOc73rNGYCdyPm04jXkV7yeBY0nMi06Yot+wR3jrK+dDbgbIe17AaXBkPPHaigx3MZiB+b7RGQroG/CnQqBwfrqFtt1kjjHntoXa+YEjA9IM0jxbbwwq91/PMy02cxrzLMZ2Oy5YBXVIY1TQcASJ3LPdE90gdH7nQR1Rb4JUWF1zNwh/cWklqGlJGrrTpBUqTtUDGoFAttex3XUnYYljf0ADRFhzpDxssp4a1mMvvxGCBopA+gIs6/ToJou58PCXuBjUOPW4gPMLCer0LRgLiZ9OLru1uAvforzGPI88xpZ05iUCPDLbsw0pLm4AeUIdd/MasHT0OfDhIG0pBWkGXWPcSZbnU0pj22IsRVZrF+Q8P7e2I+f5MToMSUuFCoeJrm+OJoVzqhJp7JuqbbiaHhUg09QlQYzTl7fTjI3EZcwzLen6PhAY1wDOtNex7TVsmiJr9b4k0MeF3KLRYNFWEBjBynqHbrfDFV98GkUhzWaLVrPOojJEC0tYQoSQGKkwZrD4fJQsbWAmcfhh28swB6/tfoH5VoRvlNvTVhj5gF9e73CSZASGJTblh4XdFIEOjGcEGd1LF+atZD6jHgyGO0IXySM2mwBsmrUdqdcZHHz5YSE/JttJWmCbGM/0kzHjaszl5jv0scexJObgJQae3LgWzdZpJMwwKVfO7hBIjSGj7xoy2tva9Am2lyW49eQFIgKFRSlH9hzP7EscnO2WQCiN0BqjNJm19LzNYpJZL+OgX0SZJYUcxnY3QEpkFmNNRh5OXOGpy0LLDBJpkUEDmybIsOHGrjTWy3GkgJpWLjvutfCLoWYhVIQmQcQbLuOUuO0IHSDDGqK5iI1a9ETAei/lSjsmTi3ap7Qj7f4vTAJpFxm3wWTYpMeVRx/kcv0E+nrGjWfO0BMBvdTtuxRO1+5kooJADlLuTQGhTM6HLBL7P9ZwZmkbci7VpuzJKPQzOF7a4tfmfvstyPjILNc25Lx009jKZjJHkcVn8IYx8kY+YUgxXvHnLOglKxwdxIlPxQgQvrOy6W6Qbmw4Yh32CrKU+YRAOzFsJJmLt7jZUgS+Hsgtb9prvgFdhgxrUHc+W5mBnjEkma+xkWAVKGkxVqAxCJsRt9eIN1a5LhVWhahwmVqzRct3KI3qjWIfREFURztyFJfxMBG0ZjDeFBnqQUcqGEws5BhFzjcT383X645SuRHFrsNEdDd9HPJxb5k133KhoVkEP6ZyzN0uAbJp1tTm99ld9LXYLhFSiOWHMvl7wKw3sKqwM44lMVd40oDLCkv8hWCygYy3EAKhJEhVKFNSYzFD0Uvm5Dpf3voGQ77pj8Q/APgrVkhRTPOL/sZASWSg3HaDEBHVQUckmSv8TK3ftnLLh0q6Qs4sdpaF3Q1XQCplccMAR08z49xocqKupCUIQkRYw2Q9J4PxpFxYi1KCQEIrUoRaum55oaYRSGS8Bj2XcSLxnfa0dpn3qImpLbDeM1xvp1xpJ6TG0tSSmpYYnywQaYyM25jVa9gkRgQhUrpMUdda7rt6Fd1YZDVYQEV1l3EPJEtRAIEkGiDlFOOG0vRp/h9r3AOWHUHQd0nOHcd35Nz6bHiuKYfBG9qAhWKJnAu5WdIykqiXgvcwEc8/L9+48rFu16kUBiUtmwL2GBZqO6Eq/qwwC8jJtRIuW27THra7QdrpgrUEpWxmai3dNKOdZKx3U4yxLm5hUbgkiE17zta2vQa4hEbfdlaRGEsvdXIYgFBLlJB9KU1mvNTQ68u9YUAWw1qWsbKyjLGgpKTZatFoNqnVmyy0mkjdr2Ma2fwGUcQMkZPygQSR7Me2UifmfrO8wSzwwLrzRNIuMGCLW9Za7yDhGyai5QzxVnKWYt1sXYS5/WDL0w5DCRHRP95bbb8sZRnut7Ft07ntxlMi58X2h7Tme51NgOkmY8atKZrCrWfucSyJuZA++6qEJw9ODjIQlKRw05O+a6XJ7bO8C4sLUp54+BRpQYYLfflmKFw8HP1hgFSuU6YII1dUJDVp6lwCcgmN8vr0QOIbBXUwHZ/B6XWdn3maeycKJ78xlo7PHFmtUNIQSEFdRQgV9CvMrXVWi0ITKYkJoKZdkGloZ7dIp+NuTEnspnalco2Jak1s1KJjFOtJypVOwpX1npuSbYYslMZP2sOsr5CtXHXEXGl0vYkIaqiwCQLWVpdJs+s0lhb5Qjfi1NIiSWY52wrJp2SVdFlZORwyS0VUbqfzm5TYTNDLN67yKhgi53ZQb57Z0cG6nKUeIOfGecsjtSv6GpbbDGW2Bsg5sJOkZStyvt2U9KYCrgmiKv6sMCvIZ0aFSVzs6nbIul6CZ3zRpVRkmaWbOnLeS7xkMU+uCBCpW95022TdLkJJZImUGxWQxBnrsXOCyZE7wigEIus5D/TUbd/mxgHSmegamydSDPHyKqurqy5vIyTNZoNmo0m92aTVaqG0HrjeLdbHhPwN4zTspuT8UmqGVEbuHNY/ZqOdpsrErkzAR/G9HWfmhkgxMBDftpO0DHeE3jLxsNVM5aixDJHzrbTmw2MYGM929rkD8koz+qCNGovfj93iMLLm4zYYqsL9ZhxLYi4FWO+I4nTepZPJS0nQniAr7Qv+hoKWFKXMu7cfNE7GYk3midboi66Q0JRztypAKO2yL6GzL7Q6wKiAzKSknuhLKQiUpKYVWgkCmyGSriPlXaf3tmGYj5IM59neTQ3rPXejSDOLEppIW2o6oLg0rCtCFSYl0JrACoyfmlXSyVA01mWdstTNCkiXARZhHdlokYZNOqnhWifhWifmylqMkoIoUKT+AEqTIpIe2foyZvUaabuLDANkawlZW3DZdELnnmMsl6+ucEYLbuh1uZwssBCd4lRd+4cTgbT91tjWWybmjgb9KUjlHiD8gwdWOO47HKyNcYcjn0oUrnkIxgdTqZ27jBn0W89RntLMz7WcnBcuC8N68+KpaCi7s0tybv2atssoDT4s7K4xx35RZcwrzAq0EgRSIpIettchbXdJOzEq8rdA7z+elEh5N8kK+zcXd4GsV9jamjhBaO2ip9KgQpLM0ssM7SSjm5piZjPfhLQu9omk6wo/wRFyHbl46kl55uuBXChy9ymDYWNjg/b6ekFYo6hGrdmiVm9Qb7aoRyFGQuRduooOp76GCiF9PRGI/N+4jqbWjm6oJuhnywc810uOIeVYOwCf2R3Z02FADz9E0EdIWvKxbJUI6f/dj2+bCjBhy1nSooeEW8uWCZBRJgBFCKcf7/O15OR8R1nfpuL/zYx63I6gB4Fx+1ZU8X4zjiUxFwi0J+B5xry4KKREauUuuqIAU5HRl7A47azLqmsvS8Fk2DT1MhbLnk41n8VASk/KQ9Bh0agiLzCV0mVCIulkHTUlEckGIm47GUu3g0kzlPL2iUqTZBCnlvU4Yz3JpS2WhlGkmcXm3r5edmOFhLSHVgGBUBgpUcIWemGRJQiTucZEeVY6jJC1OiaoY4Ia3V7Cai/l+kbCei8hUJIkC/LD69pZ99YxGyv0ltdI1rvoeog+tYbKYlfMKtwNqh3nzggCVtZoBRsoucaaPcPps6dRaf8GZ6V22X8hB5p7uMDtiLQSoFTgi31tKQiaIqtElmeW/M/j7RPL5FwKJ2mxglJmpP+TDmsOc/cY8ilxqfrrE3Ywo7OFreNIci4kQrBjIegwDsL71t+Px1quQoVJwfVecHI8MqcPz+LEdXnWyiVjtMZITeoLznteX57PyIXS1QaJNMH0OmRxjDW+c7PSyKhGFtToZZZOYl1TNi+DARf3AiEQaQ/SrovZvS5CSkStUWREM18LlBofQ2Rf7pi7hwnbr53pdDu0u52Cw9XCiMVWk3qzxVI9oGl6iKRdyGaEUi6Wkcs1Aud+5eNl33e9313Z/U1hkJBjOItbUNpyAquUMR5ZY7Mpiz2kN6e//e1qfEbW0pT15js5YW0ay+jZyS0zH/kqSuNxaxnt0LVt1ny4+HRE1nw3cpatsubTSsSM3WCoCvibcCyJuXYCb7QUaCGLx3AhXPAQOnAt7nNPbqlcNsMjz1qHUjrLQ4mTsNghCYtnJgZXnb81pAvQSjtyqCNE6G0LTb/YVHn5TKQVNa0IpEB0e84hoLvRn5q1xmX6lS70jutxStsTcynwVovK73vqAjcGUkAGWJ0SaEVmITW5Jt4dJyv8WLUGG7nCp7AGKvIZI0svzWj3UrqJQUmJMS5IaC9jsZ0NsvV14tU2Sbvr7CkTl9nB6zFT49wR4tQSanfRB1KwutEm6z3AfZce5Kam4vSJBdCRyzqFDawKyEqOLnlQylsGB4CWzvrMDhdH5cfPGrCyP/ULA+RcSu1+W8HImZF8jdL2vc37qZ0hcu4l5yMlLfnfo8i5f6Dcj6SlnDWvUOEoIgwUNd3veGyTmKyXkKWZK0rX2tXaqIDUJPTSftGn8jOroZYu85y47swmTjBZhpIhIgidE1VQp9s1rMYpG6lL0EQ++aOlIFIC0e242pr1FSd9VNolYoTrK5Fk/a6jABh8ewzf4ThzyR8hVXExp1n/Wk+yHu1uj+D6dR41KYFNWFCGhXSNBimt0zcio7qzwxXSjdtaEl8/lRNzJQHp+kRIKQc91/PZRJmTRVUkj/JESA4rcuI11J25lHkfSfbt0KzggGadkTGuTM7d35v15tsR4k0NmIbIOUINuHNlI+IrDD8g+Ox5vlxJ0rKt9r2I+UNZ85JDy6xhXOliZZe4GceSmEvhyLWWzm2kOJeky56gNWSO3IogdD63eRDx3uNaCN9FkyJjXhQAgc+Aq0LfhqXIuI9snCElCFW4sYggwkhHjHP5Qb7NmpYECiIlwHcMzbPlQjqZBMo1+OnFhvUkpZNktOMUKd3yxlo/NWmKgijSxHmQZxphakhqgC0KWjKLk9oo7azBdOSOSRg5TbzSnsjbwvM9P96Bli5rpQSim2A6bZKNDkm7i+klGK3Ii1WtUCS+eKqdGOLMkFpJqAwLoZviFSYj7nR4oCt5uA038yCnzt/iHhhokBrvZOMzQUq4m2wgRRG4A6n7xVFQKpTy37AZrilQP6Bbqd3dxt8cpaDImucoh9syQbfCSWCsACSD5FwM6c1htKyljK2KQ3fAqKzSNLBJrrWH5SpUmBRq2kv/pEAkXoaSJym0draxMihiRi/r1/NoJf3yEpH6gvdehyxJ/fLK922ISKyg65MgnSRz2eZAESrXd0JmsXOzWl/BtNdcEqfeBHD6doTL1md5N2kKwwAp3EyjyHqe1Con8RCqsJbNM6daOn1zpDVpr8NyL2XZaJAR4kpKoxazZB+muXSC+uMWSHH73fWJDCUEIY4PBp7Yiix1M53G3+OEdNaOkgEpTGaHZg4B5WtsijLKUlwrx19gMPGwg0XsKAyT4x2LQfOHgOExjRhH2QAgs9ZLUjfb5pbHkJPzog9GPh5K0pqttOZlcj7CkWuEknLE8Ti4rqBCjCdLqaL9ZhxLYq6Fc0jZpIEVApHLV5QjnCg9MH2lBIRe3x0q1xlSQSHvcKtxmXeUdtkEn/U2WLLSOOQQnxJKusJE3wkTqQY6fYk8U6+l01abpJhaNWnmMzgadIDVIUYGJFlCO8nYSDLacUYUKKzPXkvhMkgi7Tk/ct9YSajQWy26WJRa6yOAJFACpWvIehPiLjZx++m6Xfqx4h4gAiWoBZJIK+qhIpSCQAin00x7mDh108l+lkHoCKtrWBXQ66W004xemhWdVvOAp4W7wYqkA0Ca9vjH2hKffmCNp5wVnDzfopPAeuIaMmUmn84WvlGInw5UgmDYc3d4ulZIELZ0g2CAPAtkoTUvZ1GGA6bxEbqYtnOpFFef4HXsriB0m0zKsGMMeap9MlnzSaOSslSYBdS0IlICmXdYTuIi5shQI6KaI9ZZ7nluyHyhdqDcDGWoXMyxvQ7GNyOSWiNqvug9bNJOLGvdlPU4o5e4WKt8PVCkBLK3Bh3fLbm9DlKiwoi8h0QvhZ7vLG2sRUtBJi0C6e4xWQ+R9FwCQ4VYGSCUk1nGxhQ1PNo/+WvrnXWz2GX7rcHGio1uxHrUwKY94mufRQQRImzSliH1RpN6GLIQKUBSU65+SqROF4/JrScFhGCFS864hwOKGcrC01uAEaLoXyFK0sFNjjEem+LbiMRD/zujsammJo/Ym+p7RshIthiHm83cbAAwDGsHiz+Ff6+sNx+YPSg2OCL2b5mQ2bowdiC5MzCuQTnLpCGo4v2kcCyJeahdmjtU0l847mK1wmWqZVgDcAWYMihkKI5suou07qdHAykcocqLP6WXpQSh0x3qkMRYl0U2tsiWS1kujhuUwAjpgqLLSvjvC6ctr2lJQysiJRFZB5KO9xL33wsDZK2BDRt0UstanLHWS1nvpvQSQ6AkSknqgXKNgjbWyK5fwqyvuOVbS8hGC3CEvJca2onLgAfakhnJ6caJvvxlY7V/YLOUUEE9FCxEmjOLLmi3apqlULNQ0246N00gdZkXoTVKa4KFBnLxJLa2wEZqWetlXO8kXGs7d5lIBYT5/ssMtXYRs7YMJkPWm4hWm2brRu577BprD1wlrS8RRwtcT9xxOVELOFkPONMMOVHTWOsszLTSCHru+OeFoaY/8yHyYlLrsutWGoQyYLU/J3yhbakgVFrrm0+VTjrrp3VxNy7VrwrFACq3qvR6dpGPYSc7x5If8W7JuR/OpuA96WBdyJ/GWK5ChUnhRE1R1xIZr2K7G5ieiykqDAgXm8iFU9jaIu00c9nuOMNY9zC/VA9YrGmagURurJOsr5B1etjMIGsKWV9AtE6SRousrSdcasdcb8d04oxGqGgEzsmqToJsXyO9/KiLt2mGqjdcbNERsQxY6aSseGIvESzWNKFSaAkyaSM6K8ikA9a6xnBSgQpIs75c0Rhnz5iGFikUobWOUG8seytdhag3EekCpr6Eri3S7nTorbXJsKRCIJp1Fk4soGsh8cJJ6tog1y8j28tY7/YlogZZ8zTUJVZFLtOfGmJjyfJSGeETWUoCAi1tydrWu8UMyz9zMwGpd4xvMBjfhmeiCwkhYH2JvByu7ykX35frevz/i/hfStAgJEqqfrzHbuptkv8/H4MFp+uWfb15obkvxrHFo8awrGYXWfNyfD+orPm4M6RijGWOOo4lMVdF4WeJnAifpVbaZczBFWCWM8FeKwhOWx5KpznL/cqL9ejAZ9tdAWeul05LsoqBKneTOY111g9Qo+QJebGq9j7mZFk/gwGoQKPC0E+t1ogzlzHupqaw/gq8FCZSgkBYRLxBtr7iPHmFxAah2xepfAbJstxNiDODlhJbD1iINFFQR+o2VgXO2zeJIeuhTUpdSU7UNJ04ILNuKrkeuhtMcTSlRIYaXYsQUhAuNJCtJbKoRTs1LHdT1nop7TgjUE5bH2pJpCSyu0x25TGylatOftNcQBuDVCG1xmnWyVi+eon1+DEWT57ifZ9e4/FnT/DlZ1s8+YYmTzxRJ1TBQLZDmLQg5WJIkpRPOZYz5vlvLUSKUgHWS1QseTDuf3GgEJR+9jy/qygp+oHak/KiW91WWZTyWKzYFLB3i2kG7SpjXmEW0AwVkZbQ7mJjly0XUqJCiaw3kM0FkqBOr+ecVBLvphJ4GUsrVERa9Gt5YkdOZRS4WBvW6XhivB47/3OgcM+qaYnsrWDWljFr10nW3UyfqtUQOsAGNTZiw1ov40o7oZsaQr9tUfO1RJ0OsrvWT6AsnkIEdWTkYkc3NazHGamxhKlEy4BU48hlFmO6bYxPooikh1Ia4RvLJZmlkxp6qUVK6GYbrLe7NENBkN5PKA2tKGAxktQv3E+4fAF985NRN2my0GnU48yy4deR6/PzWUowSOHdo/ysJCZ1DmDljLmQfQ465Ce+laRlq6x5ufgSinw31tf3DJDicvH9cAZ/lDuXBKwsDAAMm4spCwkj/Wy5Ev1/C0p9LUZZ9Zb17mVso70/bIwb7ytevhnHkphrKQqSOwBPzIXuW2gVTXcEaOkLR4FQSgItCrJZyB904LXpke+kqUmTvrOKW5cvpiQnhJkrBMqS/lBGXKyF53qe5S8XpAYKKwV4Ym5USJw6m8QkMwUBC/2NIlIS2VuH9sqAZaFoLgBgZUCcGdbjlGudhE6cEWhXxLkUKcKggdVr7hjFKfQ6yKgNvXWatRMspZpuw2WOtRS0QmdvKLyO3PmW17BphtCKYGkJGidIdESnk7JaZPkzlFAoINKSuhaI1RXSSw/TuXwNk2aEC+5mpeuLBM3TSCFIM8tqL+Xaoxf51sdHfNk5xbvueZjOU88TKclCqGkEPjTnMx5Z7Eh56WEHaxHC9IN4SX8ovPexMG6Mxj9olW0U+6R8qBBUMmjnIt1JJn2GBmE3k/KtqvXt9oWgu8EUivQrjXmFmUAj0IQKJ+fwMVYogQoDZH0BG9RJrKBXxEt3MUSBm1mMtCAwKba9RtbtYhJXyyOV9jKWBt3UsNrLWOsmbPQympEiUI7U17VArK2TrlwhWV0j2ej0GwWFNWxQZyMxXNlIuN5xxHwh0sTeylHa1GnT15bJlq/065eiFgJLhi2IeTc11LSTO7ZCFytsmmA2Vh2pt8bpxWtNqC+BdXa6G0nGsn+gaAUK6q4GJ5CKtL3GyvIGqybDihB58mk0amdp2BMsrawQ1k6ynmRcWk9Y6TmTgUAKGoFiqaZZjLTvegoIf2/L0v5Mcw6Rx1oNopyUkFuSt1Fvj/IWz6WGOSnOY62L46WsebFgOYvvt1Vy53JZfVXIUcqyluEaozxiW/rFoLnFZP7w4e4t2aaYv0nvvgXzHeXOspWkZVoQ486QTn4oc49jSszB4kh1fiJZhCNZ0mW8wcks8lM9L2zQntCHWjouVSbI3lkltzu0yjUIymzmiyHd2hSgpXQac180apOeI+dQ6Lt3BalAa6TSWJG5Rj9Rzfufu0x3kjlSHijnDNAKvKSkvYFZu05vZZ2sGxM06+g0LR5QerFluZtyrR2z0kmpBe4SelwaYaIQKRUY47JQ1k+T6ogwbNIKNYlx7i9SuKy5yp/1pUREdXSj7oppwxC5dAOmtkAncRn69ThlrZuSZLbQamoJMu1i16/TvniVjUevkCUptRMtVD1CnTqHWOohhCY2hpVOwmonYa2b0I5T/u2tDZ5yPuOTq2u0F2ucsso9GCVdRNp1/sL59GpOgPMsdpYWjgF57LEphWZSKukyIj5rbr10xdUWOAw4tRhHzvPALixFFsVlaEypOIjBadY8eJetHvOsOVDuVgfbuxdUFLjCUUekBNpmiCwuYqwKA3Q9QraWHLHOnANUnsTIey80tCpsaU17jawbY9IUXY8gDJH1BmlQp9c2bOTJhNQR88g7sQRZAp1V7KqLtWknJmjWQEhkVCMNG1xfS7jaibmw0nX6dgGpCVx2N+1Cb4P0+iXS69dcd+ggRC3eAFiMgXaSFTOMSeiSL4nRziYjTTBxl3RjA4xxTmRxF6zBYPtJjI7r0tyNNKGWLnEhcTVB69ddwao12LDGRmeF1dVVHgpbJA9fxwY1eqrGZ1dS7ruS8PjTLeqh4gknG9y8GBHIECJHbkm6TrOex1rwyQgfa71b1nCM2yprPkqul/9phohzLiexJXK+KRFiSsWgW7hz5VJDKRTWS1m20pznSZlh69xNWfOdqjm3cIrZSxHotOqJKkwWx5KYSyEQarjwUxYylOLM9a4qAkdgtJBob/2nSzWaGFNYCIog9C4lrjgn1xrnpKzsf66lQJgEYRJHznMJRW5d6FE4ZxVZWDclh1Su0FRpbBi6cQYhIoicdMZLaHJEgSLSLgNUUyB7beL1FZK1DlmceP92gxUaIzS9LGG5m3JptcdKJyHSCq0kPV+9r4VwMpa4U3QBVUGIDBo0WjfQzQSLkSt+1TKvjFdY5aaARWMBFUSIqIZcPImJWrQ7htVeymrbFa06J5sALXwzoaSDWb1O+9J1Ni6tYZIMm2ZEJxcIzq8hstgR88yy2kl4bLlDoBXdxPgZh6t8WUNTf+wCsvY0hM2QvTVEbwMbd91Dke/EJ3zTkUJaAm6GgD6htSYdlLQAJtvcfKgcOI0ok3O3tmxA2qK8jMUOZszzG8ewxKVUuZ83/Rgnaz5xVFObFWYAoXT+4TZNHOnSGhVZdKOGaC6ShU26ab8pUGYsQV6HE7rZRdFxjixpp4f17CsvVk+FopMkrCcZGz1H7rWS3tbWadvN6nXi1XXitQ4mSdH1EMIIG9TpWcWV9gYXVrpcXO2ipKQRqn7xYNJ1s5rXr9G5dB1ddw8EOu0irHuQ6KYuEeFmGRWtQJEaQOH6a/Q6pG3nRiO0QnY7SOO09L3MJWCurPdIMlcHtRhpTtW0yzQnHdKVK5jrl8niGFWrIdtryKCO1jW6RrG6tkaSrXE+szzhpOBk03JiYYFPrSzz2U6Npcff4I5Z2kMmHUTcLgrtbdH0KPQZ5H4AyPXlCLUzOWew6U9u3wh9wpzb1ubOWDk5d65YQ8gduka5c+GSMlJIl0D38T6vMTKU1K1ikJznkhaGs+bb2CcO+7r339++4dBBJl8qKcvkcCyJuRYlbZagKLBEOC2zVYELAkNOI9JLWYzPnue2R/my+GIcSlIWYymaBLmv5aTcu4t4Qm7jnptmHcp2An2PWK9TN/7Cxzu/FE4yUBSsZqbfLAKc3i8KpJ/mFMi0i2mvYjdWCx9xk7eQlpLEWNZ7KSudhCvrPVbaCY1IsVDT3gMdsNYVnnY2MHEXkh4ijJD1RXRtgZoOqWnls+bCP1AIUCGy0XI2j0kPWW8hG4v0hCI2qbtJemcD5a1rpD9epDG2u0Gy1qa73MOkGTJQxGvOMUGaDIvL1K91U65tJFjr/N1bNc0JX8gVSsnGx+/mikw419AsZB1sliGUQtQaiLAGgbtRoIJcKeJPmbSkT/TTxV6HqITCSPdbuUDVJ+hFwRJiJDnHWKTyx2m7rHn+75LVV5E92SKAb1UEOk1UxZ8O73jHO/j+7/9+Tpw4cdhDOZYIlHSxNU1c3wIpULUQUW9B1MQENeJu4mtxvI1iXmgeaCINIulh4i5ZL3GOLkJ4//KIXgrrictW93zWvV/LI6G7QbZ2nd7yOulGpxiXS6jUaSeGa+2Yx5Y7XF2PqYWKk43AZe6VgF4Ps3qd7tVluldXUPWIcKnlkiFeHtdLM1baCat+lvFkM6OXGte0IUvIul2S9a6Ll6FGpz3ANXHr+qLXK2sxvdTZPJ6uh2RYhM2w3TZm5Srti1dJNlwzuHoSUztzM7ZxEiPqJBlc2Yhpp65w9Uo74dTqBmcCSctKeg9d5jJtWq0FlmybIO1i4y5Ch4ggcNIaa7EBIEfQkjzVO0TOXQwe7S1uhwhyvh4rBovvhezHzYFYa4Y7StsBUm59zw0lVdFsahTyofvnpELS4v5fcmgRktwyuL9wP/lSxPlt3Gp2QkF7pqBdrKSLDpOI98eSmOc9hYatEvN2xUg5IBTLfVCVdMV7CNeYqFi8VDiae5AjlG9MBNg+KXIyllLhqCflNkudU4lmoAi0kEHkTh/GZcGNwa1fOF9x4bt9Ch0UWV1jHEGUUhBol+2vaUdKSXsQd0nbXbJOD6GEK4ryuunU+IKirpOUdHspxjpv8TS3NzQZJumRbmyQtjuoMICojlxaRyYdoihCS0FqXOBMrSUxFhW4TJFoLCASr4n3dmVJakl81ipHXizrgqnT42dxRtpLsakh7bmuq+UmULkncZqkmBSW2zGr7YT1XkacuRIghGCjG/OPG22ieoMb4zUW1y+jz9yMbC76H18hZKnY0kd6YQxWmb60xZ8DsnD68bPAQ+deHoxzyxRpnY2Ype9zjmRwinU7+8SyrCXPmud2Wocc8PKZpnGWOypYW1vjP//n/8wLX/hCbrvttsMezrFEoECkrtOnEK6zs5DKuVcFDXqp9a9sqHDR9YvQJoW4TdbpFckLFeiiwD/OXLY9r4lxy0saoSTUIOM2dmOVeL1N2omdFEVKRFjH6ohOZri02uPKao9eN8WU5IdaCGTcIV67TvfqCu0r60SLCclGhyhxCQdjYSPJWO+lLLdjMmNY74XEqSeVWYqJE7JuzzVV6oaQpi7biivwX++mXG+7jHkj1PTSzIeTFNttk6yu0b50nWSt7WQ8QPjEdTiRYQSs91KudmKWuynGWJqRph1nnGtF/t6ZEvd6XL3uClB1GLBQa9C49CCNrMvCzU9CLZ4ENdjMbyDJUJBJUxTGW5+1zsl5ngjpO7UMZs7B2TcaLMZX6Asc0c4dWPIFN/W4KBWMWv/dvBGd4xMUxf/DKJ4rhiQtZYeWQs6S97PYoY/FwGzCLKDKmE8s3h9LYi4RbKI6/oLoy1hKF4HokwytXGHhJgjZ16cr1y3UBYvSdoXAeJtErVwGHuuq0zHeNqpEyvPWarmji5OnuIy59c4pha5d6f5+CFkyiXFTZ0Y4vWPotyviBJv0yJLcR9yP3xcWZX56tB1ndOOMLLGkynWGK4pQU1ftn7Y7LhsTZQQt34RjMXWBCEiNwVgnRekZS6Sdb7CsN7HeWrJ4iMnHLAVKyqIZVJFFFcKPUaC0JPM/ldDaPVR4cmuNJTMGayAzhtRrRwc6sFrrj3lMr53xkGqizz6OGy98mhtv0mhvm+m+WwrQxW9ji2BNKbArGWAkXnfo7BEz+rrH/P9l+Ur+/zx7YkpTrP3ioC2mW8vZlFLW3NWYHp6cZVOfgD0sN4+I45g/+qM/4pFHHiHLMnq9Hn/4h3/I4x73OF7/+tfz2te+llarhVKK8+fP803f9E3UarWdV1xhX9BSDDR/EzpwDdLqTedfbixd3y/BmL6+vOb7RYish+06uZ9NUxdrpHSzkzok8bGym7iHfsDPTio0FtPZIFnvkHV6JJ3USWukdHLHoEFnzXJlvUevnRD3XBO4xNfmaAm2u068sk732gada10A1+U5c/VAcZbRiTNWOgntToIxlnYvI85vPsaQxQlpt4dJMrJGrV/PZN3s4nrX6eOTxNCuB/SM9cQ8w3Q79FbWiVc26C530Y2UoFnDJnnW3bKeZFxrJ1xa7ZFkhoWaxi5ZalrSDCWZgTBLnF4+S8l6sNzWXNensbUA2W7QlCEL7TYLTUs9bCKkHiSjhe47/yFdsShCFp2YXYLDfSXxpLzvre7ioPKZdVcy5ZNuShW68QF3lpJ1bp6EseCKVwsbRYkUqhjYsIyxGL7tyxidjMX2Hyjy2qJt5CwjOz/j5SyF68zhQTLebOd8RvvpxvtjScxzbge4bDblJ3NHUPMGFE4q4J7E8xNouDEQnhAKT8pFLj7PSRvlaX2fBRG+86Nxlod2iwvS2EEpi7GlrprlLH+OkotM4ZUuBQF4NxjhizAH7RmF8jcLpUFoMv8QkJPcHHkmSWFdt9Beh7TTI+v2sMaQxTG6pIVPUks3tUhh0UKSpBZTC5C+QQY69+t2uv1A+yngQBFpn52S7gHHEdkAGdYImxFBq4dKM8LFCF13mXdUUKSplZRIJQikpB5q6r4oSknndIDX99skdg84QpB02zxy9tlcDJqcX7/KmVqj37EuS/rNkKREyEGvces9eKXU7vcVkInNgbpcfJkHa+EzKpmf53S1CENa83KxZ35+yhFa8zy1v4dMypxy4ZnCv/k3/4bf/u3f5ty5cwRBQBAEfMVXfAUf+MAH+PEf/3H+9//+3/R6PbIs4+LFizzrWc/ib//2bw972EceotAKG3e9BJGvBXLuVWlmics9JnyhfKgkgZSuM3LcIes50qsAoZWz01UBaew6hSa+wD9QAi2dpa5Me9iu06annRiT5PFDuO7OKqCddlnxpDxNDMZnuiVO9mi7beLVNt3VmN5qD13XZN6L3QpJnDpt+UY3Je5lCCEGZjZtmpL1EtJugold9pw0AWuc3Z+1dBNDkhgyL+fJY76wFpO6sccbCfGGi3lpz+n1EYIks7STjOsbMVfWuyS+c2o9VJyuh0WXadfoyElYMMbFa2uABkZ2WV21rCgNayniwhqtekhzYZFWs0mrHg2Q5/6P2y8YdeTcuWOVXbEyb1OcE3QhXHfTPCTnsbqYpczhHWyKdHe5vkgIrNWFlFDk9V6FXNHF9a0UI8aH6bxRUZE130HOMmwjuZWcZbgDajm8FzKW7R4CxsBxmyGdZrw/lsR8E4on8MFTpDz9lRPrsi1RrkiwCD8VJorq7RyeixeOLq4HkfDTZ8WGBu2Z3BadU4zNrRadlMUap5szWz0bZ2lx8SrpHgK0lKQYhrw6EEoilXI2icr5iqP6Upjim0oitSHUklqgfJOg2GWRul3STkzaSwh0KWuvNImxRdMOdwwFdSNIjESpwBfiOE24SOO+a0yoWKpreklWZOjBNTyyQYRsLlI7veS6nSYZ4VKTaKmFqDUx0vnGCymItKQWaaQU3NCKON0IOVULaWiFSNYRSc/p3H0WrJgxUQFJZniQkzx6JeNctMbZpSbKGtekwxinL9QBsp6Brfv9lsWDklIRmbCFnEX0Ux1AOUnuutJZBiUtOWkvXAq2yqYYQ2HnlevLtwnYB4mBc3yPy80j/uRP/oT/9//+H9/wDd+w6bNf/dVfHfj7H/7hH/iKr/gKrl27xqlTpw5ohMcTwmT9mSWlHSkMQkQYgtKkqcuUZ9bJ/pSASEpCXwtEHBddkcHFFqkVQmuM1GTGFVAmJi8cdbFeSdzDfM+T+tT016Gds0qK03j34owstZjMFPcdrQTSpJhuh7Qbk6zHZHHWrwUSAoukmxo2ehlp7F5KSu8ug9vvLOkT89Q4Up0TTvxkrbUYY4rjUFBDayBNi1hrM1PcqkTgu0sbS6fUyC4zzoXLGFskh7QUTqffXneOMMXMdEAh2JQSi3TadnCOWp3LCHMBTEYjkDRbTVr1GouNGkHoJDWu94jrvyEVKCGL8RtcsiP2hgX5/UQJyJTF+CpQJeg3m4NSX4uSztzqfsZa6n7WXCqE17iXe1mMQjlr3pcu9n3Nc0eukbf34eTMFjVFu6olmjAph37ib+/LTXwoB4JpxvtjS8yNASNs6SQWm79A/nRpR7IF47MNeNnKQOYawBrvV55bMwrw3c8Gmxvl6W0JSjqbxrxSPetrxW05YFLK8ucZd2OwaYLMUrRyfE0r4QpO/NnvCL51mf2whqqF6HqEkBIdhY6g5haAAmqBpBEpehKWGgGLjcB5oCe+2UY3djcKX1QltfKa8Rq91LLqNeq5E81ipJ1bgM8i29h5CwtA9dZoBk1O1ALWaq6IqZe4BkPG69NtVEctnaZx7jRCSrI4IVpqok/fgGwtkqkAS0okXde+JDM0Qs0tp+ucX6xxoqZoqgzRXoPumiPaAGHofOeDOllQL9xsjBQ80jFcWL7ImchyWsQEfpYDqbBxF9lcRNoWJv/NVIhUfpZFODlLlieyy+dPiZznbgG5pCUTOc/3baxH+ZoPo3BsUcW5u53OfPiTSRcESYpnhj0vN484efIkX/VVX7Wr7z75yU/mqU99Ku12uyLmB4E8YZIX9geRK74UspitVJ6wBVqilbPEVXnywHe8lFI4jbgOvARPk5rEJVB8zFCeiCohEFmCyTyxzbPQPiGCDjAG4tSR4pyQC+E6TIfKL5/2yDo9stSUMu5uX1JriY2hkzhSnqUZmXFSRPAZ73z7fnmbZpgSMQefTR4KLUJQsDyZy2+URGmJzpsr6Yg4Teikrlg/9Y5UspADuUSOTLoQt7HtNWzSc3VYQeQTVwqrIlKhiP2sg8B1Cg2kdPkSa+kkGZ2r17jif88oCGhFmoVaQHPxBFFrAWwNrSMyKV0c9RLQvA4g8QQ9kJJGoKgHrpBSCUmonByxkA1mzmIz91oXyjhyrnESF+n18H42xleg+YSEd2cZkTUvz5K6bHnJ13y4tqikcx/4baDfv2IErL+n5LeUYrl85gi2l82MgXFdWeaUl0813h9LYm69fCV3N8mM9Voxr9My/mJIE/fEbDLw+WZjLakBKQzGOEsrpyfX5FXjNk0Rxk2DqdBZyWop0cIUji55VXbu5CKCEJslCB0VBZwI4RxdcFnXbOgKz7VwNkt9583Ekcu0h8YSajcdq5UgTZ00JW+dbMImevEU+sRpauttAOcrHtWdLAdoaMXJZkg7zsis5YZWxNlWRCOQiLV1svaasw/zFmRBs4ZcPAWtU/RUjeX1hEfWuixvxGglsSbiRE2T1ZXXuXQwa9cw3TYiCAnCGgsnbiZtRIXubq2XIoTwxZyWjUzTWjhD7clPIzh1GZulyFoDdeNNmMYpuv7JpR4qblqqcXoh5IZGyE2tGje2NEv0kNcuYK9fIPOd8GRrCRE2yBoniaMFrm6kxL7KPlSCVlCjWddcaF/jcrvNyUBwKl4h/dKXaN50BnnyDOrkjahT5zB5Vk4qlAwLOYvEPRxldrPvri3OwT45d/dff3OVPlNjTb9IiFJgzQzW1xg4D2A5kEnx6hh/7vuHAI+BDrQTD9RiYFt7WW4e8Q//8A97+v5nPvOZKY2kQhlWKrCqsLEFCtkhOOKilSPD9Ui7jLlWTrKXPyUKhdQaGQauyD1whZ8WNwuax2YlBYFWznkrv559kicn9VLns5Ta9znwZFYJhFDoUNGqaRqBhnTDOV8V2XoIagFBq4ZsLtDNLOtxxkYvJU1N0a9H+cJR/L3ByQ0zstS4uqLMSzC821jgZX/gClcjJfoky+930AqQgaR+qkHtxhPQOkU7hdXYOdIYY53/eaQ4v1TncUs1zrYCTkQStXyZ7MoFTGfNkV8duARUWMPUFumJgHbPeEmRu2cGUmIUzq5SCJ9Ny4pYFSddrrXhqlRw6To6rNFYPEF98SQLCwtIHZEaWOtlPLbeY6Wbsh6nxJmhphULoeJ0I+Rsy50ToRLUhXTbSHrQXcN0NvrEPKohwlpRU4TUBXF2UhrlzhfjtOyGPjmHQYLu6o68jn9EkzkxZBuQd6MuZuSLbfdjZR7nrZe+SgZjfT5rO7LD6QQwbiJmPqP9dOP9sSTmkBPs3MKPoVSmCwDWmAHN2MCyGdggJzylR0VvoSRsijWZnzbzjYmkKLIm1q8HoRFh6MicjkB7gj9CiqDKhArR1xrnXUPjGKudxERkKVooV2jkl3NTeobEWIwKsUEd2VoiaF11K43qxc1KebuwxUjTbrrAdUMr5ERNU1M4raB3BVB+WjdouvXZqMVGbLjWjbm61vdAX6rrojhKmAzb7WA2VkhX19wNq7GACOosnriZbqppJ8ZZRPpA000z2qmkXj9BcOo8Oqq7h6BaHVtfxEQLJP73qmnFUs3FsJsWapysK0fKVy5gLj9EtnIV0sTpHAETRJioxWrX8Nh6zHqcIhEs1jRZw6JrmlpQx8pVrly9wqVuh5OP+zJWP/0JbnjCBlEaO+svHSGCOtbmEhzr461LneRZ8+Eimfx8yDPnrkBJ+KxKXgg6dE6UA2suadkm2NqhB7sc+Y1u0hmUyi6xwizAPaCqfpG86te1CGtQwhXFR1KQaEcCtRAD2b9c6qeMQUWhS6QIWUgKlc9yB0oUksf+stqRcS2RxrpYF6jinqGlQGmFDlzyJ4g0jVC5OhPjpkyF9JnquiPIuuGy1WnmXKySzGVuHW/zGXctwSSQ9FwCZ5Nc0k/Wek290gqpnCuLLmqR8F2aI6KFOrZpiE4uUrvhNDZq0csMXT8bEGjFUkNwshFy01KNc62IE5FGbVzFrl7BbKxA0sPm95mohQ2bJCpgvWvopO7eBK4plMRipHNQGYh8RZba01+vO8+SHmvdDVavXuSCrmFUSFBvulnQnuLvH23z4PUO7TjjRCPkVDPky840SYwlOFGnGVjqEtcLI+1iNlbJ1pb9MVCINHGxXAVggy3rwoQQKD9XaYWL4baUPS+SMtbz6oHi/1zrXjr5TJ9EC7/7iNwmd3CWPiflOUmX9L3T+8fOH7+9NDLcBY5bImaaOJbEPDOWFKd/SzM7NNXUz0ILFfQLhxgsxEyxxd+FpCQPFlnim1kkSJOipXR6bylITWkdhsLzXASR22Yuh/B6demDUn75KYoH6+LGYlNHyk2WumKjuIPIemjZRHu9Izh3F9dyGrqZRYcNZGsJtbDkSWqt6HaqhKCmFc1Ic4Pf/6VawIla4Jp1xF03owBFtly3msjFU2RRi4224br3QG/HGY3Q0EujIjFAlrqiqNU1et5CS9YvEDQWULVFGmGLEzVNN3WOA4DP9ls6iUU1TjoinKVuliBqkaqArOcCWE0LQqmpacXJumKRGLlygeyx+zHXLpCsbzj5Tu4BH9Rpp4Jr3YQHltustt2+nWpFGFsjkIIorGNlgDUZtrvB1YeuIR/3RNLzj+fExS9worFIsHiqCHh5LUIevssuKbBZRljOnOcZc0FOcOXAA1u/M50t/raGEjl355AxdiCLAoPBelMWZYIYe2rzCMTpF77whdxxxx288pWvpF6vH/ZwjjUya12MkP5aFy6hkHdd1sr1W4i0Is0TMaWQjgwQQYSOvI7ZZ7vzEzXvseCIuXsVD5d+RlRFgStQlwkyDAsyInDEvFXT9GrudtyqaZqRdnE7v761Imi4WqBooY5uNrFBjcRYel4bjpeQKC1ohKqQwtg0KZoiOQWMRqg+1dVCUAsUjcjdZRqhOxb5PggdEDRrRCcX3OdnTqJOn8PUFui2DV1frFoPFLUg4NyJGucXa9xQ1zRNG7l+meTaBbK1FfeAUmsiak1s1MBEC6z1DOuJYb3nZiq1FKiaRruKG7bNqeZ+4yajKNJUAUL1EFGTxFra6SoqNXxNCP/8SQ16sskv/vWj/O2jPZ797POs33KCRiBZiupONpN0ya5fIrt+GbN23R2DqI5sLICUSB26JFp5GHlchqLZkfQcofi7JEUdaHyUJ+xkPxGjvOOLAAaKl70TTZG1L7hJzkc269tzUi6sLdblNPSTJebHGZOO98eSmBtcFlYaZ5+Xv4D+k6RxRTPYbICwpMbZ/0mcbWKWp9xzGYwnq8Q9RM1ZIUoRDmXc3QNBZixWO3cSEYRu+kyoAfLl9HpOa6yFcAUiOawrA82LEU0vQaoYG8fILEUFzm+9KJ40hiQ1tJOUXipphE1UfRHZXMKmPWRUd1kl6xxSIi1oBapo53uipqlp1yLapr6gM1DoekjQrCFaSxA1iYVmI+mxnHugx04n7gpvfDYp62G6GyRrG3SvrwEQLlxHtq4iF07TWFpgXQsagSr03mlmvbWZoV5fdJ02TQpSY3SNOKO4sda08ll/waIyqJXLmMsPkV5+mO6VFdJOzz1MLCSIMMSEDTbSjAvrPf7x0gZX1ntIITjfTYmU4EQtIKlpF5TBFXR12hDHXMsSVm68mSvyJDett2m1wFlOuiBZVP+Dn1zpOwLkFl6D0hbrGk4Yr1E3FqXkQLAuztX83DR5nB4k15bBLEp+/qnyva6wBqsC9aTw1V/91fzIj/wIb3zjG3nVq17FHXfcwfOf//zDHtaxRJIBUVT0mbCeddssRWQxgY6IlCOzsXGzdHnMzCwuu+vrcQBUqAupoUR4+YqkFki6qSLS0lvyWlcYGLo6HuVreVQYOCkNTipT04qlRsB618XUU82QprdqJLVFxjpcDNGJITq54GYmgzpJUtK2K4FSiijStGqaeqAQ3bTvNhMoVwcUBUhvUQt4PbhkoRYghaslaoSKQAnnOag0ulEjXErRUUhwwxnU6XOsGsVGEjtrRylYagQs1TU3LdQ43wo5GVrktUukFx4kvXKRZKNDuNh0nZ4bLbLaImupZS02RXMicIWji77QsrBcLRXwWlmS3hmNsKmTemSx+02lQugIYxJUHUJVo5cKEpNx9eoy3dTwr56kWHzqImdOwPlThuXeBtfbgjONGNaukD7yD7QffpTe8joq1EQnFghPnwKpkPUmuVUuUpN3CIe+OYRyQvMitmfGkuGKPAsnuPweYKyfDXeJmNwhptC6Wz8rkO+/nz0djvVl9xnAGw+Iwp4Rvz5X1JoOWkFOAGLMGdKjkIiZdLw/lsQ8NaafMTdD00G+gY1NUxd8TUbe/zOXG6SeYMYmw1hXRZ4fSJumYDPXOCeNESZBqQhfw+Iz5YbUGlIrXQY299UN4pJ+2GkTpdCF9ZaQwtsfbs4hWGuxxriseeaq7nXk7Afzi8UYS884+8LYWEythowayHoDGztfXqRrfSwlhFrQivrBuxVo397a+64rd5ORWhO0mqjWCWzYdA0rennDDeM9xcsuMbiGH90Nko0uyXoHrCVeaxN01tBJB21SIt8QqZtKZxGJO/aJsa4RSFAvtNRJlndFdfuqpfNNb2iJ7FzHrl4hu3qBzqXrdK+vYTPjppNxU7VG19hoJ1xpx3zpygbdduKkR9ay1Ag4v+AyQFFe4JulJBsdTJw4S7Uwoh1EfL5zklr3EW58fA1VX/CZbwdXte5mPfIsNgy6/ECe8XB+vLnFppIWKTUi8w9+5WAN5JaduSTF0p82zbMo+Q1ayb6HrvDZk34txeRw3Io/y/iZn/kZ/vt//+/8/u//Pr/2a7/GC17wAp7ylKfwvd/7vfzrf/2vOXv27GEP8dggNRarAqzvkiykKmYZRdIjqi0SKEEjcLEmznwXSS+jszpE1ZuIegvFutdHB16aZtHCkcl6qIhT514F/mFbu66WQatO2GqQ6R66HjrJIgYtBA2tONUIi+ZES/WAeljKWAcu8VFbqmMyQ+3UInLxFEbXyGLvya0lOtBIDSebIUv1gEgJT1YNQit05OQ0QaPmMtY6LGJPFChakaYWSE42QhZD7R4MrCe6tTo1qaDeRN3g6nnWk4zVbkovc97vjVBxQzPi/ELE6YZCrjxC9tj9xBcfpXd91RWPCoGst5yuXNVY3Ui5tOGSOElqihleJZzGPFQgswRhSxlxGfTdp0wGxpkH2CTGdttYk7kEk28SF7ZuREmJMbDaS3lsrVc0Qbqw3uPK6gan6xp93fBp02ORLuHKOo994BMIbw956ik3sPjE8ywohV04gfDJF6tCrApJfczOG+GVC+mNj/tkpZ4WFmdmkCf5hSWwovAC1/mMhpfVksWl/hT93hkoF//zJFDqC17BS2qkRdk+KXfHK3XcJIsnep35Z5Gxlpt3TDreH4V74J6RGoiN8U17vIQLwHov2zxbnqWuEUM5Y+4JoPt/3xsVXzRClpSKMWNXACop2s7mxD7OM+bKTa+KMPJZmL4dkrCZI8jKVYxr2SfZxYVZ+gmtsd7Synl05w8D2uvM8ws39p67SWax2jXaEGGt0Jdj3RN8IAT1QNEIJY1AEmnhWkRbi+sy6rJAullzXTwbLWxYJ8lcVjv11l9COg2n9rpHLQTCePlN7Lx1057z2iXuORsqk6KkL14VviFTfgwpHXskmS/ITb3VF+DtInE3l6SDba+RbmyQrLVJ1h2hNkleKeVsy9bjjKtrMd31mM5aTGe9x9pGzEo7oZ24Atjc8cSaDJtmZHGCSWLXvTXpgUnotDf40hfu45HPf4rO6jXWk4zM5kXA7sbjjocouprm+5X4B484679S/yBiy7UH1roAm/kAm5PrUiMVY/uuBO6BxgXvATut0tQmkw7UXnM4zusoQGvNK17xCn7v936Phx9+mNe+9rX8l//yX7jlllv4tm/7Nv7iL/7isId4LBBnhlQoUH0JiU1TSJ2WWCZdIi2pB4pQunhjfKxMfYy0QR3ZaCFqdVf4CcV1EyhHrpfqAQs11y9BepWBVQGy3kQ0FwkW6gQLDVTN1aIACCyRFq5IvRVxQyviZDOgESgXawERRoQLDaKTi9RvOEF48gSytYTRzoNdCSc/CeuaZsOtZzHUREoWdUAy0OhGSLhYJ1xqIpsL4IsjwfWnaNU0J5qujqgeCkLZLzoUoevUrJZOI5ZuwDROsBEb1pOMOM3QSrIQaW6oB5yIFFFnGa48THr5YdoXrrpkiDGIWh25cAJTP8lKL+NyO+FKO+HqRlzEyVC6e00jEOgsQcQbiKTbzxirkCyok4VNTNTCho2i+N0mPcz6Ctl1V2wqNq4ju2tOsy4hSQ2PXOvwhYtr/P0jK9x3eZ37r7W52knZyBRxZri2ssaFxhn4Vy8neMP3cvItP8h14Isf/DTdi5cw3Q3XoTRskOka7dTSy7zzlvAPEmkPGW8gkg4q6xEId4z79V79+N7zy3f9364g2P/2PgEj0gSR9JBxpyDVwqQlK0d370uMS7rF/j6f+ZhvB9YVI9KeO6YThBzzdTSi/WTj/THNmDuNOeTOLCWmYnx79yyFVPoMuJOUWCiytmCJU7OpWaf1ZN4q7cl56qwRi6y1W0c3zUiMJgWUdEVJQqrCEUb4gk6ta85jVYiBMg+nfXQeqnhPcNFPjSNMhvLZdS3dsrl8IfUXf2IsNe317XFcTM8WRVFKoDM31Qpen+gLXYXWiCBE1hsAiFoTETawMnC+wD57kGePWrWAVuCmeQXeSSavdpcuyyADZyGGzEtnKLqkkkGoBx9Q1NAlPVzbKH1XN2EyTOpmQYzpa0vyTq1WKpIMYt+9L02c7RgoTGaHiOywMtwXryinO7VSgdRYpekmht7DDxBJaJ47jzp9nprud4/LDMQ4vT/+75yEK+kbK7kJXVcMmk+xm36ALXx2pTuWeSbJ+qyK+53xswn9KXopBBofrLMYkXQRaW/Tvu0HVfGnw9/8zd9w11138b73vY8zZ87w3d/93TzyyCN88zd/Mz/wAz/Af//v//2wh3ik4ZIQECjfldknUEwXdNJBJh2iKEJLl/mOjesSHKeGOLMkQiGDOrLecjHdmKLAX2QxkarTihStriKp6ULja6zFiAAb1FGtJaKlVdKgiwwDnzEHYVJC7aRyZtHF5cVa4Bqh5bE2rBG0mkRJ6vpOLJ7EektXgyVQklYUYIylVQs4s+jcryIlXHG8kmgvwwkaNWonl5ALJzFhgyR1+vRISlo1R6xP1V2slknbFUGmibs/1SPU0mmy+hIbmeJau8dGz9naRoGkGWj+/+z9eYxt6Xneh/6+aQ17rKpTZ+qBbFKkBlqmJluOM8hwTECxLhIofyi+GWRJTgwkgQFbCoIkCCAEiWEDMZIICALIhiFexMiNhchO4Bs4TgTd4HqSYseWZNE2KYpikz2dPlOdqtrDGr7h/vF+a+1ddep0s5un2WydfoHqrrOr1t5r71rr/d7veZ/3eQ5ry9wp9Ol9unuvsn7tPs2DU2KITK4foOs5sV6yxfGo6bizarl71tB6MSQ6rB2TQjN1hjI0qOZMPDOUQrmaaCu8ltwaM/18Xi1QwaO7jfDpN+fEvkM3awCMq6nqJaURrZOTTcvDs5aUEqfZKbUuDLNCM7UOFXvC6QPC2Qn+/uu080PMv/iDmOkRvzm9hpsdcNg4ChcIfYdHVMwWZeb1+xbVbUYZYIwjuQpXTAla0YWc+4Pw82MS+cbSalHUUonCJMxgKBQ6kfb1HWiTuzVTkilyrlcjmLP1kUHmXkD3iNG5/E1RNqP9FtU36Hb9VO8zpd7dIOfvEBxmjKeR75/JwjxkKgtIkTrW5SlJUe7bEWnYN2JIA4oycJ6TSBkmyDqkO7Q99V1O4v0oSQcZFfXCUe+C3ESFcZlbnm+ezJdToceVUlgXVmNM5i7GLLWkjLRni0IGSK3fFeeZ0iAIrc5mFbs7YJCKTMqAElUV2RTI9kPFgEEGkIKW9zga4RiLLipB2vOOXVe1oBaZv2kzb3E5cRitWdaOaTlQYboLg6O2LlFGUcyn6MmMZIUPGvMKZ5VCW0GlnIHKCKKiB1qHcWiVdjS64e+MUGiSEWkuZS0my50pk/WIs7RhSowbNNEZ1hirMFbnQaqsaZz8KH8m7eECNV2gp3NSRm/2ddCttrS+47WXv4T98he4/vxHuXHjBto66VYoTUhxNMDY9IFNH4hJ0P5ZYUkFKKUpTBIH1xRRXgrp1G4EDbGiz4y2wj3MLqtdSLQhZn1gMFr+kmYgM+4l66edqOF3DhryTuPu3bv8pb/0l/jsZz/LF7/4Rf7lf/lf5n/8H/9HfvAHf3BcvH78x3+cf+lf+pc+LMzf42i8IIkYR1IZWQ0y/xPX51DOKOoDyiFPKjW6gXZZprUoJTepZiuOx3noXvUNZTVh6gzzyuKToJ86dyj7mLCuRk2X6MUaZ8+lqLclIF3WQgt1JEUZDlyUmR+ukEKsrFGzJdXgLDw/IhUThoafM5JnK5eL62nJMqtnEXrRRZ9WmNJRHi7Qh9dhdkSwNX3b43NXc+YMy8qxLC0zp1HnZ8TNaqR1qqIilUJDWTeB06bnrPXZK8IwKQy11ZjtI8L9N2jevEfz4JTuvMEURlS7FkekiaDlr5+3vHHacH/VYpSiLox0HkrLNDXo87uwPSN5j66nxLyxanzirAvj+6cyLCYHgqxbR+w7utMVAKXv0fUEMzmgsgsKowUw2fT0XaDvIpXVPLesaBcVFEJzCmcndPfuEb2nWJ6S+hZ72xJsyVZZHjyK+HgfpxUH8wnlZMZ5UfPx4zm2XaE3j6CR2SnlSmI1hxSx5RJyZ/R+7sT2IaKVYl5aDiuH0dAHRQGo0KPaNf7kLqltRB2mqNDLiDaGUNRjXbL1kVUb8/qRmDhDLAxGJ2oLxIDut+jmnNSsiI/uPdX77FnmmD/tfP9MFuY+JvosYeEvIKCZ1+I9+F6GhPaoLOKOJu0wgM6K01scBkHICd97kuoyJSNkvVgZ+PCZt6ii7JZDSlmFJR+fC9aBCmORAq3IMlwyqDqg/mBMKW3Gssb0GfHMfVSVIgZFkeWzbEhZtvFtPqBsoKOVHW12h26B8CZLkhWeoh4kuIpqHCaySoY2DyYFxzOPM5obi5JFaQVRiLkodyVuWgFgSktxfIReHpPKGR2GPophhda79mZtNLVTmPZcFFmUQtsKZ0v6KMh6ygMwykNvhIuuZ0vsYk5xvpaWqtbSUnaFoDFKtOYnpaWsrPD8nOVwXnBtLgtnaUH5juiFd2nrCjudYuaHqIW0d/tixqaP2eEVKqDIG67Qbrjz2/+UN1/5MjePDrh+6zbV8gbeONY9NH3k/qZn1XlaH6UwLy3HE4dSjsooaqtlse22xLOHxM0Zqe/R9RQ9P0BpA0606LsY2fQiQ7bqxJHPGRnitdpIQR/6MVmzefQO76S3jmcZMX/hhRf4lm/5Fv7YH/tj/PiP/zjXr19/7Hc+/elP83t/7+99H87u2YqNF2OZVLrdkH7uSKZmje5blG9xpqDI3F6fpKu57TVbq5hWFaaYoKuauBUHzNS14FsKnaiztGznE1YNqky5K1nUmMmCNFsTc/Id9dRjT2FKFlmRJZKYWCNzOEDSBl2JelYy4sysZwcEVxEQ1+CJMxxOHTFaFpXjuHZMnUb7RtYBV+KmtQAJB9cw158n1ktWPrLt00iHcYXhaOKYFRrTnaObc8L6VFS+jAUneb+LinUXOe38OLCqJjJoX1nxuPCnD2genNGebvBtwNYOO5uiFsesVcW9TcNrp1vunDacN71w4p1hUVkWpUGfvkq8+xXC6lSUyg6vQzEhKcO6DzzYeB5ue2JKvLCoYOY4qBayeQiR7myDb0S/fVbVuIObTA8PmOW5ouAjfRtIKfFwXXDW+rHTkbqWcH7K9v4pvmkJbc+0nogSmdK0IbHqIm0+4LQ7Y3a2ZmEC//hLZ9SpY9qdUdx9mVlhqY+OMdefx9z6GM7VgGXbR944b7m3btl2AaNFZvL2vMToitpqplmWOJzcxb/+ZWIjfiNmOsd0DdY6VLUkJCnKT7bCn191UpjPCsONaYnTBalI0hlt14QHrxNO7tE/fPBU77OhVngW42nn+2e3MI8xO2PtURVS3OOIt5IYfX9hkMOnNBbzA3p+YTY6iUucUlr+v2fpKy+Rsjva3rDiHm9Y+OFi/T5wwYYFY5j077xwx/oAhSsx9YRYTYWKEOJO6ytGtDJCAdGaysqYqx2oI8N7BkHLYxw59Yp0gc+eEvk1E7ESrW49mREH6k2WWSRGnLEsSstR5fAHFVZrDiqb26uaodemyprycC7qKJMKe/0FOLhJmByybiXxdZnuUhgtyarQFL4RRCJ4lNakwmO1wSib1XIiXQx4rdEa5pMlZn4Nc3RO3XUoKwZHxWIq3H4lCPLEaQ6njuPDik0bmFeWF69NuTUrWVQal1FqQg9aY6sSc3QDc3ybMLtGY2ecNYFGJoGE315onDXoodWaXe/u+I43tonjgzXXXvgYKWnubzpeOd3y2smWB+uOIm9oPnIodKHaapY2J+uHd/Bvih577Dx2NsNcu4V9zqCqBSnBto882PbcXXecNp4+RiqjeemwFom2QkPo0NtTwr1X6V/57a/vxvowxvilX/ol/oV/4V94y99ZLBb8n//n//kNOqNnN7Z9EElB7TDa7LqazZbYrNHtCuUbrCsxOemFEGmSYtUGps7QBDCuhKKCZgspQNeguy2pW1O7GVNvaMrcQVTSje1CIpY1qpqhF0fj4KkqagFjYsAVMHUasPgo5jfjPJE2JFtlFZbcSSxqoTEEMUaaOE1MblTOOpxYpoVGbdZC27EOO5+j6inm6BZpdo2+nLPaeM46T+sDSklRPS00U6vQjx4RM50D30M9RWlNtI42JM5az8m657zxVE7Wm0KLy6dqV8TNOX6zxbeBFJKIBMwPSZMDzrrAq2cNX32w4c4jcV5eZvrMtdoyoyO8+ps0r3yFfr3FTWvpZhzeIgCbPvLqWcNrJ1uaPtD4SGFmzOcH2OkCZTT9pqF7tMKvt9IlPXqNcnmbo4ljWhjuK0WMkeAVvvejaykJ6Br69Zb25Ay/7TDWkBo5z2QKVr1w44eNwVAAT+aWQmmabUPTdjC9BZMlpj5kuWqof+PvM/+UJS1e5KTp+b+/csIX3zxnve7QRnO0KPnO55eEuGRRGtAR1o/wr32J+//3P6Z9JAh8dW3J8ltOqLRGT68RYuKsDXzxwYYvvHnOG6fCHb+9rPjkjRmV1RxUBtU3pAev0b/8ec6//Ar37zx8qvfZuwZinupZvD/xtPP9M1qYS4GpdRxYCVmaKBfGvif6gNHCSx4K65g1yPtMKpfCPD/H0I8J8cKxOyME2QQEsqSfj3k4I5HMMJDUg/fEFFFdifYtKnRYW45a5DHJ8V2mKUxsRSqysopvwftxsIgUMdrK8KhV+CSDTZU1WCVa5aL/Knq+8gLirDZIMaX8ml0QWkwbI32y6KIm+gZdy6CrMlbQmdBSWsfEaY6nTgZQlWJRGiZOU1hQXRjVCuyBvKyeLeH4BeLsOuc9nPeR08bjY6KyCpflG4vQotYPSCd35JxtgZpHlLG4colS4FNk1QUg4KNhVhgW02PMNRnorYyVArmqRYkmRYyGqTMcTwpeOp7hQ2RRO24vKl5YVJLYzu8RV6fSzVAa6hp9eIMwu87GzjnZeh5sxV3OauGNOq0gG33E0wfE9Zlo4c4O0DFwLya+eO83aOyELz5q+NxrZ3zp7or1owZtNLNFybfemvPohSXNjSnNROHu/Rbdb/0j1l9+mc2bDwlNR3k4Z/bCDcqTc/SLPZt5x+urjt+8v+ErJxvunrXElJgWlgfPLfjktQnrqWO6vQ+vfx7/1d/kzZdfe6r32bNoOHH37l1u3LjxxCTtvecf/sN/yPd///d/g8/s2Y0mAxniOTEM2nhC06GaNWm7RvkeW+4QvzYmkpect/UCEkxtJe6hRhPblthsUd0G1W2oZzMmTtN6m80+Ez5F+qjpk0YXE1TZSL71HpWN5FQetC+NluPQ2DxTBEI1TLZAlTO0K0EZoqtJ2hK9gCeCsGsKLYZos8JQJA++kXmUskJl1F0tjwmTI85aya9nrafN2uGVNaJi1ZzC6iH+5C7+9BGA+D0AGEeb7e1XjWfbh3EzY41CEYltg183+Eb007XTmLpEH97ATw65f0/Ah9dPtjSrDlcZtFbMK8usNJiz1zj9zd/k7OU38Nue6mjKYVXgXuwIER5uel6+v+bzb5zje8+mD9I1qGYcllO0scS2Z/twC2zRzlDffBV78yUW5W0OpyWvFQY9yGbmAUmtQaVA6lv8pqFbt/itp2hzh7eo8LbkbNXzyqMtr5829CFyOC3wMXFczyhSJJ0/JNx/nbQ5B2MJi0NObrzA/YPn6V97yP0vPeCL54m/9Xdf4f7rZzQnd1HWMT28xqsvLFj/rpvUm2P8JKK+8I84+eV/wG//7/+E7X1BzKc3p9z4zte5tW4o0oxHB4Ffu7Pib33pAZ/7ykNWJ6I6Mz+s+OpLhzQfvwa3ZhxtX8P/xt/n3v/9Gzz4p29w//Wzp3ujvdvB/Q/z/WPxgSvM/7v/7r/jz/25P8edO3f4ru/6Lv7b//a/fcdvuo+RPmQnzmxhADIkOKDlscs3o2+l4FS7wc8+CH2l9wN3N4lGbqYspJhG2UKV/F5hvjP5qaymC3FEzMUoyJParXAflUbV56h6SVHORdlFQ+giDbDqPbVXTJyjqhbohZzngMiiRDPVKClqZ4VBI4OUs8JQDrbLbUNqt6IoAvI+RuqObEa6nIgBJtFQm4itppjQizSVNqNZh+o2lNpxUJYUWjEvDCgotSi7uCgdAWVLzNF1iNdQ1YRYLdhObnDSBO5tWh5ue7oQZVOhHdYoplZhHt0j3v0K/Wu/TWx77KTGXH8OfVNRlDOUkoX4UeNp8sIK4KcFR0cvoq3DTpeSNFOEohLd9tCzqCwvHdTMCrktFoXloDIcVRpz9gbc+yr+4ZvQbsFazPyQePAc53bBK6cNLz9qeOO0oe0Ds8rywkFNZSccYlB9S3/nK2zfvE/oeuykonruOdzzH+fw6EVapfjUJPLCRyseXjecdVNSTJTWMCs1R7qhPeu53yhMq1HHHyfVR9iXzrEpooqK7WzJul6StommvU/bBa4RcZPAC4UmpkSh4bpuCKuO016z7dZoM4eb34LXs6/n1nwsvpFUlqeRF55G3L59mzfeeIMbN24A8Lt/9+/mr//1v86LL74IwIMHD/j9v//3E8KHmvFfa3y9f9tNF0ZjtSLLwca+wzctarVCzzaYfiNqUezAl8ZHAoxI8mFRo4cCdRgmP9UYV5JsyaxciqsyhlUXRsR80ydsOc/0QI32Mr+UBmla31FZl0GFNJoOATKs6moGW7ChMPfIfVIYxTLTYAqrmFrD1AT0+qFQUUAMfSZz1OKYsLjFSa95c93x6lnLWdMTEhzWjsoqphbMowf0d75K89prtI/WmNIyLWQGKSlDHxOrLnC67ThvRNwg5TVSBQ9dQ2g7kg8yOzR1TG4cwOEt7m89XzrZ8E9eP+X0/prgEzNbMXGGW7OSZVzTf/FXeeVvfp57L58SU+Lo1kyGX791TR8Tb65a/vErj3jzK49oV6ecn9wgxsSNqWM5O4J6Sug9m/tbunVPt/bYquTatVscfcdzvHQ84eX7K3wrYgDGimOr1Qp8S9yu6c63dGetgG5J1GRiteCkCXzh/opf+fID7j7YEn1ktixpXzzg269NIHT4N7/Ko9/4PGevPsBveqqDisXHbjH/jm+n+Njv5nD+PB+tAz/83Qc8+OSEs+01gDwfUPD8NOLPH3G/V5j6Onz6e3nx2gF+I6i9ndTow+uc3/oooYXNwwfMg+d7jhUvVHPOWjG4WZSW6zPNUdpw/qgj9B3m6EXMdyuOP3obd3IKf+4ffz235oUYpB7fzXHvJr4Zcv57le8/UIX5z//8z/NTP/VT/OzP/iy/7/f9Pn7mZ36GH/zBH+QLX/jC+MF8LTEgGoMrIjBa3KeMlodeaBL43fAnkM1apCgfrOIfE+qIkRTUlZa9Kb9uPxTlu4NG5Dp0HaYYHDz77ASWW6xIm7ULUWQfQ6J0lQxMFlWeArfZbUb0yI1WFNoQraAaTosFsyJC9KN6zHDu47ArjNSZwd0NoCuNKIfYUtCc4IEgmxDfZZUDgyrsKPnllKK0CtV18qzaiIqLscRiSpgecbIJvLHquLduOc+cv4PKEnEyAOobaM4JD++wfu0+0QeKeU1dFOjDG7IxwOJDYtsHTtayAJb5/VtjWU6voWMQ6k3XCXKVhykn5TwPy0g3oXaauQWzuguP3hQnuNUpKUTMfImqpoRqwaNV4NWzli/dXfHaoy29jxzPS2aVlal7Eir2NA9OWN95iN802LqQhcsV2GqOq2RRf7jpee1c2rQhJial5dZcHFNLq2R4zbeks/v4+68TTk9IMUmyPriBvWUJ1RwPbH0Snd5Nz3nTy/MVhkjCzktmhZZB3M0j/J2v0r/5xtd8D30t8W45h+/0mKeVF55GpEvJ4OWXX6bv+7f8nQ/jyfE0/rZtjKKgtUcbjH2Qr64ndVsBCzJ9L0boQ2TbSk7c9JJrk87Do0pnyl8gtha1XaOqLa5aUmSJV63COAs0AkG2Itl8LcSQfQcSKgWsdmJAM6zfA41QGZQR+3eVxLAo2WJcc6xSKCsKVc4qaqdQzUZmUFqhNIh6lkgLtlhWvef+pudk27NqRO4xVZZCG7RviZszwvkJzUOhoyRfEjqPy2vEMGe16QI+RPoQR5nafWlhZTTaaWxd4mYTUrXgfB25c9qwOu9oN8PzSZ6bOo3ePGL16mu8+eVHfGktn5W7uxZ36L4lJnjU9JyfbDm/8zLNqQwwvnJYcWfV8e1HC5QTh9Zu3XO2Fh331esPOXhwB7s9ZVk5DqcFq3P5mXOa0hlxQs5Sx7Hr8F1Aay3CAUVNcjWrNvLqoy137m04u78hxoj3kTcPatlU+Q5/8pDTr9zn/j+9z7rxTCtLe9ZhCsf86BbF8nl6n/jCnXO++OaK7bkoxJQTxwvHU8KLBywqyxEG3ZzTvfEy9371C7SngphXR1NmL56Kgkx9SG8TD7Y9X7y/5ot3zrl/JiDbjYOKT96ci/t1ZVG+xd97g82Xvsj5V97k5MHTRcy/kRzzb5ac/17l+3e8WfmxH/sx/ubf/Jvv+IWeRvzX//V/zR//43+cn/iJn+BTn/oUP/uzP8tkMuHnfu7n3tHzpOyQFXORfSGy81vyQRCCwV1zL/YdtnyMGXVXe8fH8fv9qj3mqfuY9l5/T6oxBU8MnuQDdHl4NPjsAJp/Z9BB94nWix55Mo5kC3RZgS12euTsUEtr1AW5QaOyOsqg1+57UogXEuvwFnxKo7RTk1+zj4mkLSh7YXBV+Q76LapbUyTPxComVlEZ0H0jrwdSkLuSVEyJ9ZK1hwebnnvrljfPW+6etZxt+lFOSislHLnVKf7RKdt7J/L14Az/6JS0PkOFTjjmKbHpAg/XPfdXHXfXHXc3MhTT2YpULaAUTeKRguM7bOiZFoqD0nJYGRY6YFYPUGd3hdP96AF+3cjfR2tUUdAExUnjuXPW8PL9NQ8ebjl71PDGo4aTdb/b0ARPd7pmc++Ms9fOOH/1lPUb9/H334TmHBU9kcRZ57lz2vCluyu++OaKL91d8eqjLY+ani5z11XoiatH+Af3Wb9+n9Wrd9m+eZ94ep+4WUEMBBLrThbgr9xf86W7K3777oqX72842fa02eyC6ImrU/zDe6xfe7pT+oNr37v5eifxtPLCNyo+aFSdD3rO70M2CrogixuJ3hN6kbdVyTPoOUXS6PPQ9oEuRFof9+RkM4jSdaS2ITVrVB4gNZe8CXw2V+tjdnm2LqtX7dwiByqdVTL7M87/kNW+tM0D90VWltFDExatBPRwVlEZhe4bkcMLHYxdUFGAiq5m00fOsiPz2aYfTeAgv72+IW3O6c7E86E729KvG+kg53mfhKwJvY9i/BZ37qPydvLuQim0FRqLqSdEN+FRIzm53XR024a+8xATzgidh80j1nce8pWN56QPnPSBO02gO29kfUxwuunZrno2D98g9i3ru19l9ajh4aaji6BsSQqR0AZO+8ijrWfzcEvz4ATVnHFQWZZ1QVEarLOUzog8pVbyd+3b7Aeyk9VVriC5mkeN541HW9aPGtYP3mTz4E02Zy0n6y4P03va0xXnb6z46lnH51cdnz9pePCbDzn/6pvEk7uo0NPFwFcfbnjwxjn3Xr3P3a/c4e4rZ3zljRWvnWzZ9DKbFjcrNm/c48Fv3ufuP5avB1+4x+rVe4TT+xB7Qkg83Pa8fH/Dq2+cc//1M+6/fsYrr5/z8v01j5o+iyF0xEd3Of/Km9z/p3e597n7X/M99M0WH6Sc/27y/TsuzE9PT/nMZz7DJz/5Sf7Mn/kzvPba0+WlPim6ruMf/IN/wGc+85nxMa01n/nMZ/jlX/7ld/RcAS4kkjGGIjoOA5GP/07YR9vjDll+7Kmuev7hOZ702jGSMkc95mJZTCzCuBMNKQ+Q5k2BT4moLWg3Wk4rrUcupVLSDRCqc076WhK6SuL2mHyfNxGBfVv2lGdhBlOlEOKogS4I0k4eUaQis0PZaGAgDp42BZF9in3mtMfsWlaSihqvLdtMP3m46TlZ95xuezZdGDsL4pzmic2W7nxDd97QnrV0Z2t805K6ZnSujEkW1G0v7daTdcd561l3ka1PwtF0pUgMapM/+x7lG1z01AaK2KObM3QjQ1Dp7IR+tcFvW+IwvOpKGYRqPPfPO9arnmbd0Wx7uq0oFvgo5UAKXgaSzjraRy3bky3NwzXd6Yq0Xctnl4SG83DdsVp1bM9bHp033F91rDox3yBJ8o/NhvZ0RXtyTvPwjPZEDJToGlRWD9p0kfOm58Gq5d5Zy/2zlvurlnUfaLxIMhIDaSvn0Tx8ypzDb0A8zbzwYVwdH/ScH3IOyeXn+HgKAsAMAIpKcYT8BjpLH3IBmmkcF2aJ8jxS6rqc23rp7Ondc+y+IKHBOAEzBgdhkM5m1sLWGXZUI2QOKCVcc2Uk5ybp+moYC3lxVFaivOE7oSamlI3gbAZvSvqU2PjAqg+cN178NEIUjrVSAtK0W0JWNOm3snmJe53jhIBSMSXiHlr+mI+E0Rgr7tCqrOmTKOScNz19Gwi9FNsgzqPOKNJmRXOy4l63M0o785F+I/KWKSWaPtI3m3Gt6jenbFc9p1tPH5N0QRGH7W2IrHykO+voz2UmYOIMs8pSFAbjZOjVqjxsG0PetIURo9LWiOShdqw6z8N1z3bd0J49oD1/QLdtWDde3n8K9OuG5mHDm61n5SNvtp47m57N/TVxe45KAR/h/Kxj/eiM9Ztfkc3F/ddYZfnIAdBJ7ZbudMXqjRV3TlvunLas3ljRPDgnrFayfiPmeG+eNpyfNKzuvcnq3pucP9py/7xlm+V3CR6/WrO+e87ZGyteWz19Q7l3A8K808L1Wcj577gw/1/+l/+F1157jX/v3/v3+Pmf/3leeukl/vAf/sP8wi/8wmMQ/tOM+/fvE0J4zNr05s2b3Llz58pj2rbl7OzswtfbxTj0GBMxhLFIf1KMNbZ6i49yX5UlZ68rNwbsCvoURCVl1AnfaxINqPvOsZScvHOhfEkPUSly0ldju0mrfF5jUo2793pF62XQ2BXJRHFIHQepRpH27PSZ5RZVDNlR0u8slYfnFjcCkjIjotT6QNsHNp1MyQ8Lhvw+gKgpRO/xbSC0ntiJY+iA9quxFZ3ofaDpo3x5aWeHIPKUaMNw+avR/VLOV4UeFVqxs+4aYrsldJ20vr2X6yK/h5gSXYxs+4DvPb4L+E4MivogC/r42eTz9m2g33j6jSd0ogKkshSlj7Kp6LtA13r6LtL0XjZh44chn0Noe0LX45se3/YyozCgWlk9qOkj63xOvots2kDb74aeSaLEEzp5vqcZ+U/8rr6Ax+7dtn3cAOnd5IX3MpRSnJ+fc3Z2xunpKUopVqvVO8pB32zxQcn5T8r3YQBR9tJayp3NFNNjgERMuSuajxMgh12+kyfYdRj3cpviYq4einLZGCRZJy7nTRjRb4V6bFFOwzH5//ESFKSVWBKIs2MYi8sRuc5If1JqVBLzQTqRPuxbuANIlzj2geD3usdh7/nI3d+hGZiHJ8e3og0qy04qo8VbQ+vRQK3tAzGIZ8gQJr//1LeE9iIft41RziXIO+9jJHQXc0HIa0dMjOvfYFPfxyQ5uRN/EZupnNZoKSb1njkfO8Q/hQhaCWJuHSF7kAQfCO0G320JfUvoG+LwYcRA9IGmD2z2nAdXPuC3XjrhST774AN+u6LbnNFtzvDbFX27pxADec3o2XSeMx8484FtXj+SF5BLtCQivvd0bUe3PpOvxtN2IXdHZePp2w6/lQ3Def/Wtc07ja8n38cYv6Z8D99cOf+9yvfvind//fp1fuqnfopf//Vf5//6v/4vPvGJT/CjP/qjPPfcc/zkT/4kX/ziF9/VyTzt+LN/9s+yXC7Hr4GQ/7WGNubtf+k9iiGxXRX7Z7W/11RXcNrhyjo7H/CE17hiB6uumOpQT3jiYSFJSgnF5y02LYo0ovpKS5Icvh6PnOy1JPv9/19+P8Px+4iSrE8qL6J7m6WBijOe77AIanG8M3a3wDx2/jt3UjUkeiMtCa3UhUUapeVpjUIbhXZ6d+45TD53rTLipPU4X7D71d3nwLCwmMubMTUu2M7o4e3kIeJL70PLebzVNfduQqX0rr8AXnzxxQv375/9s3/2qZ7fexEpJb71W7+Vw8NDjo6OWK1WfM/3fA+Hh4ccHh7ybd/2be/3Kb6r+CDk/Cfl+0E15OKtqMf8cVUMeQOGe/JSvlNX3C/5Pt0vnB+jZe3n6HfCPR053OliTkE6AQPOk/Z3tlfE5WO12vt88m+M3+XHxyJbP3k9NE9+yQvd4xEl1VwAkHYAjEZderLL52yUeixv6r2/1+PnprIztoBWogycngiODTG875Q3OQpZB5VSaOvQxqGUyV/5tbUozDh9cYNlVd555PPW+d/KuPxcFm2crAt7658ycp25oSuihCqljLrw+Q3v0Rgjz2cdxsr1bZD1ICktNY1WOAXuKesUfj35/uWXX75w7z7r+f7rGv584403+MVf/EV+8Rd/EWMMP/RDP8Rv/MZv8KlPfYr/8r/8L/nJn/zJr+fpL8Tx8THGGN58880Lj7/55pvcunXrymP+k//kP+Gnfuqnxn+fnZ3x4osv8sT0opSYGbBXiF4unMaHc7GU0ejL3OwLCX+vYFRqoJNckUTGQlONNu/pCpREaWlbWpO54qSRipK8DK2qtGNUjqZEIWGNqMOEYRBKG3ldlZH2S8lXMRSKCqt3dBhJgukiCm6zLb2xYIrMixykG3N6jQFiP9JH8C3W1ZRZLWZZO7ZdYK1lUt5lYyUyEqLKGlMVFFNH8BE3q8Q5tCiy+6q8DWcUdWnRWhRS6sIwcdngKLQysDogZTpTWnK71yOOnTpFUt+gJ3N0fYqtZQdvXL5tggxOTZxmno2JfJ0VEkpD5cRJcPhsbOlwtSV0DlMYiqkT44+iJiojfFEr9tpFbUkRXGlZ1AWVNfKZK9lIqKLGzSqKxZTYdbiJaMErV47XZWHECXA5cUIJionlxFE70baXXzQoKwYkblY/fk1+PZEen1n4mo8DXnnlFRaLxfhwWZaP/eq7yQvvZfxO1yX/Zs75T8r3Ayp6VSijQZld3htoc0jB6kwGDNSQhPaOVQqsRbmSpB1okUrc/zWdAYFBNpZBnnag84H8P6PqIR98AXzJ95H4Lpv8vNDnY0gQ9Y4qI07HTjTTo6wJxICOHpdlEevCUOYcMBS0KQFGXElN6dCFxfooVA57cV2QQhiiUgz7k6E2TVEQ9hgEeU9eBiqdERWZSWkw1qCNG9fXmNXOVDWlmBZMjB4R55lV2FLcqRUCNJhysncyBldaZpUVECPTY5xWlPnLTSxuWqGKisYH2txBjTHmzmZeL5USiuPYBc5ra/AYYOIMdWVxVY2tpvI69QTndh+CLhzFxHF4bnnQeSZGc1waqoMSVU1JyqBJlJWlWhzgm+tE31Mtb1BNC+G/76nyuEnFZFlxI4oqy2RZUR1U2KoUEQUlykHzacHptMQfXEcpQzUtmNeOyupMkVLYaUV1UDKfl1yLEa4Gpd9dXAK83slxL730Er/2a7924eGr8j18c+X89yrfv+PCvO97/tpf+2t89rOf5f/4P/4PPv3pT/On/tSf4t/4N/6NcRH9n//n/5k/9sf+2FNN0kVR8H3f93380i/9Ej/8wz8MSPvjl37pl/gTf+JPXHlMWZZP/OMOxeZjiIbWKGtGhFRdgfZqrfLAin5sNz+gj8P3jx0HWWWFi4hq3hRoa0gxSWK1VuSylEEaqruNgc3T/8Ir7CG0wisMnhR3ZzXwxEMUs56IxmmRzktauI5STLvH3uewyZfXUsSoKLTGZtUSFXpI2UApf47JFCRbkVxFtBVN7kpaY3CjRbSW4aR8ExttmBYzjifF6IZabnq0VpRDWzIPT6lqSrmcUR4tiL2nmE9ws1oSnnFiuqEVk8IwLy3z0nJ9XnJUOyZOUZuE2m5Q/VakKYckbAqiq9kGaH3EaEVdzCgAHSOm70R/eFhlYyT1HaVVHFUFtw4q7q9a7iLX5XJWspw42QiA6KzPJ9RHNaa0mNJQ3zikODxAT+cEY0EFJtZwPC9YtRNiTMwqx81lmd068x/GWPRkTnkwB0RhophP0LMDVD0lainyZ04snm8vKyprCDExH4yexmRt0dM5xeEBk5vbx66BrydU2lGx3ulxIIYM+4X5VfFu8sJ7GX/gD/yBb/hrvtfxQcn5T8r3gxReLgHlQa3RzqCtdMRQg/uyJCxrNNZonNWi6mR0pokM8zEalRzKlqICYixJW0LYDfYP+d1kpFOHPudqmbVJw/2sNIEkvO3x9GS6cwBdVAYzlI6ovVwttEJB7rTS1LZEmUIGIG0BzVqohL5H9VtKO2VRWGaFbNhXjccaMViLSYQEdD3BTatxo64LJ2BEFhVQiEuyNTq7CeurNz4pEX3Etz20Mm+0KCyHk5Kisrh6MgJYbR/oYkLPFtTXD7ldWb607tDAtcJSTPNmQykBWqYVbrKk35wyObrNdFFyOCkoLaSuRRmNMZqZ1Sydpj6sKZYzYjljtQo82vZC7/NCdfRRinOUFSlcZ8d9U/BBntO3LErDzUXF3XlJf3SLFCLVtGRZi9xl0o5iOWV6c8JHz1umRjGzmuNbM2a3DtGLQ5KxWOO5cVDRrCdY91FRZakdR8cTbh1UTIq8AZvMmdw45OClJeVCru3J9ZrJzSPUbAnGYbViXlqeP6hZbXpcIWDedFHywmHNvLIC6NgCMz9k9tw1/NaT7lp4isw6xbvL95DQWr9trh/imynnv1f5/h0X5rdv3ybGyL/+r//r/L2/9/f47u/+7sd+5w/+wT/IwcHBUzi9i/FTP/VT/NiP/Ri/5/f8Hr7/+7+fn/mZn2G9XvMTP/ET7+h5jFGYcLGlv+P/SVGurQxSSnH9OOI9fK/1Hmq9F+oyjDC8NuzoGhd+pPOmwAkm4iThJ2NJqJ0RkpJFptDS3nJaoXyD8r0oBLTbLBclC0jIvOUuZM31GCmtFjUXm4dGXYnq8yCIseM5DzSNwsjroWFSaEo9GAVlF8xhsTOFKA8UFaGYsu3TOMTikgJrcKZA9aLVrmKPCh0xBkrgsJoSY4VGUB0xF9JoJSh/chVmdoA+OGZyc0XspDDXiyP0ZIbXjhgSVmtqazicFjijuDEtuD5xLEuD2TxEb0+Jq1M5h2oCpSJZUViRoaiINYqtVyyKGZM5mCS6xVbdHzXfU7vF+ZZFZXluXrG9ESidwYfEorIcTgTp1iiSdpSHCybbjqJpcZOK6XPHmOvPEas5CY3VkYOsf146IzJiheGwdhzVbtykJFuhD44x3lNNz2Whr6aY+SEUE9BG5B4LxfVZiTGa41kg5c/zeOJEw15Bsg4zP8Bcf446Pb4J/bri60TMv9Z4Wnnhw7g6Pug53xkBE7RS47WltEJbkwf7CpEhzIW5RpDyyumMLBsxChtcnFPMQ5xGzHvqKcnVRO1oOxn4Blk1nB3kaZEcG7rcrUviDg0kFD7IQH2Ig2fGCK1InvRdHuY0UngrGQL1WaXLKAU+YgpDWU6JvpEuYrMWb4s+Dz7O5kwLzVHlxtw8rGc+Jskt0wVuuaRcrlBahjd14UaE32SwpnJadMD36Hby2UpRmUIk9FGGSFdr6nbFsppxc1nyWzNHu3Eyc6UVrY80PhHrQ2YvXOcjR7IpiAmuzQvKo7kAEhqWtWW6KJne+AjN6V3mt17i8NqE44nDBuGRA7ip4zBEJocV05sz3PENUn3A6f2G001P33pCSLR93M3dGAvGoazBuN37iF2D7dYsywXPH9Z85dpEpJMDzJYV12YlBkUylupwyeKFJaEJHK57ykXJ0SeOWHzL85ijmzTKUNnEJ2/OcUbzMMv6zivLR44mPD+vqK2W67Fe4G49x/F3rujPRS7RzSdMn7+JObwBWroEx5OCb7kxo7C75zuelXzkqOaoKoRKYwrMtVscfOIcN60oHpzCP316OubfqHwPv/Nz/jsuzP+b/+a/4Ud+5EeoquqJv3NwcMCXv/zlr+vEroo/8kf+CPfu3eOnf/qnuXPnDt/93d/N3/gbf+OxIYC3C4XCWT0OnAyRlHB1tbGStJ3JaEpGuhG+ljUarcQtzWo1UllGvUqts+thLuqH45UsCJLYBG2/MP9jnbRGlZaEX9Yk7bJeujz38JqVFTfP0ijUtoV2dcEoaHjaYUi0C1IkW6UofKSySkwqrENbK8gxPMbdUwqs0lRWXn/iLM4qLEkkwoIfW4dJG7AlsZiy6SOrLrL1Ea0ULgIYrC3kk0x+LI4pKrTvOTiqYWKxRnF/3bHxskhq8gKkLbpaYI5uUbUN+F6oLYc3iMWUaAtSL66b09LirKaymttzQZzL7hy9eUg4uUvcnKOMRWfpsmRLtl3kZOt5/Vw+w1khphfX6hnT2XXMsaBdcXUKKRC3G/T2hMP5LZ6fl2LPXFo2XWBSGHlNk7lOxmIPj5gCxIidTTHHz6Gvv0iYHtOEhFOKw4llUhhuTAoi0vqtnaGy8jdXKYk19/QQa0sZUE1Juh5W5CeTMlgDM2cwUzEg6bPUojWKyopGu1bI36s6QF8vxATlAxhPKy98vfFv/9v/Nj/zMz/DfP61fY7//r//7/Of/+f/OcfHx+/xmX198UHP+aXVFFp0qkkCwAz0DFMVqKIU+dY8qKm15OfSJnHDLEQxRLp8WZHJWHAaXc+gnJGKmq0XOsageKQN4uJpFC4FVLfNOXMwGMprg7FZglYcSrUGHZUsHTFkWdsu0+4MylVoa8dh8T5AmyJ9XsxsWWOLqQAgQOo60voMbUtMMWFezDieFmNh7mNEKUXnI95UmGqOXhxSHZ6jtHxWpqoylUQ6AaVWVM4SYnb8HAda5T0NwFTsI77paU9XTJozZtMl12cl15YVzcbjO4/WiqaPnLWeeO2A4vmXuP4d/xj9xROij8yfn1MdzsXzQSkOK8fBUc12fYNqccjRrRnfenPOzVmJbs/wvgUlxkbaKKY3JgKCHD9HYyrur884W3e0jaxbw+BoSJCMldcphW4YfC42W9nYzKaHPL+s+MTNOS8bhQ+J64uS549q2eAYh15eY/mx29i6JPlAsZwx/+hNio/9LsLsOq0Xfvd33Jjx/LKiH8Arq1mUNnd3MwhTzXEvfIJFNZUOL6DKWpyyZ0dEV+EMHFSGbz+ecmtWsumyGWBeg2aFbExTUaMPb+FcweLGKfrRI/h//+/v5ra8OhLvbG7i64hvhpz/Xub7d1yY/+iP/ug7PeSpxp/4E3/i625XWK3QKaPWO2Gq3KK0WXbQSNFmhOowionkwtrk9qgdBwrj+BzCEzc7jvil13ZG5wJ/r6gfhg1tSTIRXdaosibaQpCUTHUTBFtTWUOhNTp0qH5D2q6JzVoMkZRIACZ2fPLGhwuF+TRofIDCOOFIGjGjkCmnYUAlF+ZGUaDzuZP1cjfgRTM39Z2g9Nn8oouKdR84bT0Pt2KQtCgzimsNRmsxclqfk5q1vNbsHG0dB/ObaGVQquA0yw1qLUhS4xO2mqOX17HDhsAWqPkRsZgI4pMyj9GJ0+isMBxUhklq0asHhHuvER7eFRSpqmVhBbwybHrP3XXHlx9s8CGyqB2bPgI1braknG7RizWp70jtlrg9x6xPcK7mWr1Eq4pZYVl1sjk4qBylycW0sdjDG+iikjb67AB1eIswv0mcHmHrA37r4ZZf/eopX7hzxuphg7aa+UHJp56b8Xs+esDHbs356FTh3vw87ec/z+q3vsT69QeEpqW8tmDx0dtUn/gU+sWXWC9f5JWzjn9yb8VvP9hw56whpMS8tHz3i0ueP57x/Nwx39yFVz5H/+Uv8sZvvfJ13VePxf78wTs97h3G08gLX2/8/M//PH/yT/5JPv3pT7/t756fn/MX/sJf4Kd/+qe/AWf29cUHPeeXRkAMo9kh5tZhy0K8DIoKTMkg3KJzV9JYw6wwo1Oy6rtR3k+6myVqMiOVotHdtjF3CWWwUCvRxq6Myoj1GppzoveZpliA0kRt6dtA62UWyCawSqgsowRt1widRRmirTBWNkkhwqr1dDFRaEVCTN0W5Qw6ya3Jt8SVqOdoY5kuK9pCczSx4vmQXZ27nGNdNccc3sA2mx0d0w2zQqK5XheGWSnlQ5X55ykXtrgyd5zl8dAGuvMt6fwhi6OP8tys5CNHUx6te5qVwlhF4wOPmp6zUHJ48yWOvuMj2Nrhtz3V0ZTq2lJAGAXLyvGx4yltL0okH70555M3ZhyUBrVaQddhnKVcFJSLgsVHDpk+fxOW1zlvI/fPpSgPfURpRdyjH6Etuqyx0wo3c6itB6WzR0fDxCmem1WcX/dMCkMfIofTgluzUroq2qKXx0w+2lFfPxKUf3GIvfEC6ehFyqPbdJTcexT47C+/zN1XHrF9eAdtC6bXrnProwf8oe864v/xkRt86yygPvcy9//h3+a3/j//iPVd+XvObs+4/d23ee4HvofyEz/Iw8NP8vdfP+fvfOEev/alB5w93Mo80dGET3/Lkj/4rcf87ucXXF+/Qv+r/4i7f+9XufuPXuH01aesEPUNRMzh/c/572W+/0A5fz6tKDJ3udS74bxx8MOVUJSY4KEopB2YW3M6Dz8WOeGIXbwR7u8wVm4dpijGY9E6Hx/HhO+M8BYrqzFmR4NR1qFcIcOb9ZxYTEjFhLaLdF7MiHQe9KidorYK3ZzDVpza0uqU8UQBtMH3iU3v2fSRTR8ErTeKRWnpU5KhJZXbuTGijCVm84uYBjqLoE5WQW00RexRzRlqe0Zcn42FVKoUyVZs+sjDbc+rZy13zhqc0RxNBJGvrZbNgO+J61O6e/fw2xZdWCbtFvv8luXyOUw1wSpYZ/7ftk9oFVFFyWT5nCxMsZfzdDWxnNP4oTDXUhRbzdRqlrSYR6/Sv/pb9HdepzmRhFQdLtDTJVpp+gAnjeeVR1t+/auP6FuPKy0fuTah9QHFjOfnN7Fdg1o9Im3OiasG//qXMV3L9PAW1fwmi9Kw9Y6YyINWWqQiTYE6vIU9uCF0n2rB0XLOjRc+Qppf597GQ1GznE35ro9dZ9V6CitDpbdnJc8vKq5PLJWLmIMblN/+3Uyv3yKen5BiRFcT9PIa5tpzhPkBZlpzSznqquZjxz2rTpxUnVbcnpcsS8O0MpTuCG2+g8nRMfH2K8BffHo32jc4Ub/f8b3f+7380A/9EN/7vd+LtRbnHN/xHd/Bf/Qf/Uf83M/9HH/n7/wdmqYhxsg/+Sf/hFu3br0vA6rPWsxLS2kVhpS53RpciZ0h9//iiFBUQvXLabyyetxczwvDtFCo9Zq0XZNCRNkSPZ1DvSDWh5z3idM28LDp2PSRiRMztzLnS715RDq9L902QNcTdDEhanFRXvvIeePxKTFxBq0UU4fQWNoN6fwhsVnLGmEsytVoVeBj4lHjOcu634vG8tyixEwcs3Im60+zJjZb4uoU0zWYlDg6eJ40KQC4u4YuRFad56wNFJMl1eHz2BhlXWgbVCkbAdU3TIoJR7XjeF7IkHkefulCpE8WN1lQHCxws5r2tCH2Ufwm3vwq9vAWzy9u8h035/Qh8tWHG3ovg+kn2557K8/k6KMsfu8/y+TFLxNWK0xRoI9ukawUvzdnBZ9+bsmtg4oYEx85qPnoQcVStaTzh4Suw00r5s8fyP9fuo176TvoD17gzr0tb541+NYTY8Qai7EiNACQtEXnOab6eEHYthTziQzSdg2u33B9WmPNnOeXFTFJZ3VRGiYW6DXq4AZ2eYzVmur+y6hXv8L1owmHt7+NcPMm99IUu2j4I/9iwVfub1i1347RihvzkpeuTfi24xk3D0oq53EvfTslkcNb1+jO1yitKRZTyueex734SdLBDRbTmk/dttRVxfd87Dr3M5XlcFLw/KLiYwc1y6mlsMdMPv3PMDk44oXf8xoP7p7An/q1p3afvfuZom8Myv60473M989kYW6NokxSlOt9OsueRF4qZIBGmZ2z5VBY24yaFybL5LGHmGu946mZwUhCSm+99xzOajk+T5GrFEXqysjQp6pqkimJytInL4ObWTFAZ56700qoDNs1qW0ITSNDLztCenYnzUkzyGv4kKkxGZS5EFpMNGTg9KIOgVZKNhKhRXWNoPTbTT7Myg2mFH1KrLrAybbn7lmbOeKC1h5P3Eibod3Sna9pT9cYa3DTN1D1FFVMqZdTGq9pQ6Lz0BGwQaF9QCnDpF6KRjqQjKNPEIJsXgbVmGIojJsz4ukD4qP7bO+f0q02I3fS9YOuLHQ+iqvceUvXekzjecMobixKnp9LYWysDCGlGAjbFqUeoozFWItRltnkgKK09EG6DYUBolhpU05QSnN87Yibt27jZgf4YsYqtx6XlSWkxKyw9CHijGaeOeazQq4XUiTZEjU5wGiDnh2QfIcqhBsay6m0Y1OitJpZAqMdy0pa9UYrpk6eS6s8rFtMUfOIPX7KurZZO/fdHPdBjP/hf/gf+At/4S/w+uuvE2OkaRr+4l/8i/yNv/E3+PznP89nPvMZlsslxhj+tX/tX+OP/tE/+n6f8jMRE6dxSo3cbiDnZo2ezEmuJtmKvk+jfvRAF5xYcYV00aO6DbHdykxHUaLKiuQmeOPYtIGz1rPqpDM5OEkWRqH6DapdEc4fijNvNv0BQBvamDhvPI8an30iBMAYDMCUbwirUzGnMRY7W6LqBm2lMN/4wOm2F0OkOlJYxbTQTIspWhvoOtrTFdpsKVKUXFFMmU2OWXtL0XhaL1TH09YLTbJeYuZrTN8S1akU+N5D6CgtTJ3hoHKi651v18ZHmpCoqhl6fki5nNI9WtGte5IPxNUpan3Ccn6L5xYlD5sJfUicbju0VuLW3HQcNIbrxx/BFQXm7EQ+ptlS1GaITJ3muUXJrBSA7Oa04LAyqPN7YwfWTitMVVIezHDXb5OWN1j1kbPO0wcRK7DO4kpRWZkUZjc7Vla4xZzqcEOYVFRHC9RkLmtj6KmrCSFqKluIIorRQg/0K6Y3brLQ15ht7lP0G5h/FP27vhN9cJ0wu04s59BE5qXlE9emXJ+WtD7gjHR3jycF16eOOm92YjnF3voIkxioO+lqq2qKWV5DLY6JxmGUXOMvLCsmznBrXo3X/SB6oBXgKunOvvAJ9PyQevF0nZ6ftXgv8/0zWZibocBWCqv1XnEqCXNUKbE7Ksv4G5lfB5kSc4mnLlxfQRpwpdBZ9qpfqxQxT/mPaHsv1j1yvNj/KuuI1ok5QkwZzUmjbKEo50Wx2e0aaLdiODCeqMnmPUG4g1Gc7C7IXinyhkLMNnaPZ4nGuDMxGunzkJ09G2KTncyUJlk7LnwpKTqfWDV+HERxRgYRW59IhQzVphjw245+taUHipNz7MEJ7miL9h1GWynqIS+YHq0shoirLFbL5RuA3u82ESp/GY0MXfmOsN0Qmo7QtPSrLcbZnblPDHngSjiivg/0bSDGxLbpOd30bHygjYnalCPVJ3R9VtA5kTZrMQGtKaoF1jlI8jciBoy1HH3s27lx44ZsqJSmS6IAM/g8OK1Zlo6JEwMKp7UMoFn5slqJQqW24lyaInrY5OTHUm6Pk6LIhVkFaAqTxo1dsT8boZQo6KRErJ+uE9yzhpi/+OKL/Bf/xX9x4bGvfvWrvPTSS/yv/+v/yg/90A+9T2f2bEdlTVZV2bkDYy1aaRnctBVeW/oU6PLPB9Wr2uU5nk5AiNRusyFYKW6QrqT1sPVxLMx9jMRkZfjTgNpsieePiOvTEQFO1QSIJO3oe0G9T5ueIYMfVMIhV1FmWeL6lHB+KjNQsyVqdg3jBPBofORk3bHpAqvG44zmeFLgK0dhLDF4/KYRQzbvqcqaYnmNcnpImSmZIUHvAw83nmlhqa1lWi1Q07WAMF1L6raYdoOrG6auYFk52hjZ5ve86WVTkqoF+vAG9fU36M63wBnKaLqzNe7RfczyEQflgudmJZ0PZJEz+hBZdYGzLnC4vC5zWNUcFfssR+lQwVNZxxIpPJWCZWEouhW63eC7DlMUlMsZyspcj7n5IrE+YNvLuRqtKCqLtZpy4ri5qDisnEgUpohyJWq2pL4h+VDPlpjD61BOZbAeoUoeVBWmnNCZmvl8zq1lxUGh0dsTdHsN5RtR77IFoZgSqwVtTm2FURxPHLNCOiYiu2tYlFY2khrJ9aZA1QvM9efF3VoPA8dzYjkFY0e6lHcaPSlYVjKrUFhFZaRzY7QiJUtyNWp6gHEl1jx5ZuTdxbuUS7zSO/2bP97LfP9MFubWKGxSGCMDcPuShWgtaEiSdqWyO8RcBiHlOBDKxDBAqlISrrnOpjS2lKEiZQikXWGroUBulsLK5mAcoMyDSWgjicg4fGREvH2UgVPIcoWDw5vvicFLcR3z0IhSmWOexsn9sHcOg+mOyHfl1x9d6TRJW7yX44bBwdGQICVS3xG3a9iuSVoTrcX4RhAeZYmIu9wqD9iclZ5VJ5bJSUs3ARD749yGDW0vAy6hQ6WAVoO1csoOmprOJ5yWgScMmPwe82mNceHvOrq5xuwAmOT7PoiqTIzjQK4zu8Gloa4chqwGh9WBKpRCJOKJfYdut6RuI6i4b0THRwlt6fDFj+Enh8xrR58UIQqfcVDMGVQcjJYWekGWWcvUqcoI8ua0Ai/TackU4KKgOCmBMfJYpiHJ8ylcAizs79lE/z5/NDpzXZ0sIE81nrHC/Kr4yEc+wg/+4A9eqWTyYXxjohhUURoZ3lRZIla5Mg9uVnQBOn8RAKkyxaG0CrXZkrbnAoIMoeSea3NBuerEbn4IrWWBVV2DXz3Cn53jN1tSFXCzbvylNgqS+2DTicoJsKkCaWIlV3VbwvkpzQOhwZj5CfbaBjcToMjHyOm253TbC8qfh8evTyyFsaQQ8dtOXtt77KTGHj1AzW/i9BSrNT4mTrc9SikmG8PUaupiinG1SEGmLWzXxM0Zqpoxm93gaGLZ+EAfhFO/6QPrLtIUFfXBTdz120xWG8m1bU/sZODfbh6xPD7k5qxgkxPTqvEYrWjyBuestSwnR2Li07dAlNmvFKisw2QnUWug8A2qOZf8C1DWOGMFLLl2izQ9pLeV8MqBeeXoZxGtFcfzkpeOJ1ybFpl2KJsAMz+Ua6Ss0YsjmB1RH95g9vrnmGpYfs8PwNGLrKOhy7NNlcmmem5C1BbiNP+NZTA/mFKGSZH1e15aJi4r+GT1s9JIvrdaCeJkHMmV6NmBrFXaXARhMjhltaI0GogU0UjnWA3rxnBBGgFhYkBpC5OLDqtfd7zrfP/BLMyviqeV75/NwjwXTJpcnKodaC4qLENxndVKlCZl3FvrnYukzTroen+oaDi+yKi3seJPkHY3oDayWBgNOkl7MAVP8jmpj86ZhpCkMO682OpeMCuLAZU8g5ZiikkkILNRkB+Kv2zJa5TINQ5Dq7JYtcS2kWFIYxkcehKKECN9bpUCuKwEAIymEb5pRWXEWuJ2g/INTs0pjMgcppRIMdH0nraPND7gcSKbaB2DqdLoDjcUxShClNbyoDGrSXgbRykxlf+jYdRc1yhCbgcHhMaTbIGuakxdYquCsN1ToAkRlcR4Y+I0y4mjrGQxU0ZjC1FlKIbOyl4SEXMSNW7I9s2ZCmeZ33wBPT1Aa02dUal9t7mQr4thYyGDtpCSSHAaLddJMeow7/3xlRZ5yj2TkmQKKbSVRqWI0QajEjFfc0PKNEpdpG9pk6UunzaC8mEA/G//2//2fp/CMx2FEadDghjtwG6eJ7mS5GraLtL6NAIglVVYJZ4Pum9QXUPYrqHdSicVUaFKtqDrhJ993vpRFzzGPa+HdkVan9OdrvDblhQiNkv6RW3pQ8/JpuPumahBOau57otsHpRI7ZZ+taE5ORfd7GsPsNszDALU9CGx6Tzn64610cwqx2nT0/oKVcjQZuh6urMtvulx8zOK1Sm632IrGX7vvKDtMSZmheHaxLGsxEFSaSMD76EHrbFlRVFMWJYVjwrPtg+C1neB+5uOidOUs+vY5z5G1WxIIWbkHJFvXD/CTB+xqBbcmsnQrTN6XCMbH9n4gNOWSTkXI6LQZ5TEo3xLoQ0oUN6jmpUU7zGirEVPZqAMejpHLa8TqwWNl3XUasWtZcWiskyyx8Vzs5Kb04JpoaDN7/HabWa3nuOrP/Oz3Pn7b/Kpf/YFZp+8xfXv+STlJz6Njj2hPWdSLSmMyBJrlQdgbZkBE5EsTkoTlaELO9rPQIVNWo3O11bvZhuMFvnLpDTKFKQiQiikLsgGfimLS6hMUXRaCLM+Dw4rJTNFJndHk9KovEkYZrOearxrg6HfOUAMPJ18/2wW5pnbPVqpj0WKEjkq66SllQ0N0l4hODhu6jxEeZEJk4+FnRuccXIzDmh1vgkLqzNH3KNCT+q6ixdoLphCn/ApCuodEs48eXc5aPOKQsqAtqcLrqEilye6vJYEviFtzkVm0ZWycCmNT4k2DkiQINpWQ23VrgD1PbHrCW0n0mPbczGxmCyprKbMzpd9TIRIdlgT9DYZC2WNrQuRlYoRWxeoos6cz5LeBxofxsFXqwcqjyBgNgUIEa01GINPCp0SZBUbHxKtikyrBWZ5DXP2kGrdkGIieY8edGp9j449U2c4nhYcLivOsp3xrYOaw6ljVhqhMCX5LJR1o76vmi7QkzkUE8rpkpu3b3Hw3MfZBlE6yAZ2o0vfIKsZycZJ+W8zagEPCTVfY8NMwwVEQqkx0QKjQyxaX+jwGC0dhaQUam9RGOXN8rWWtB3Rl6cWHyLmH8Y3QYjUYQ9RqGspBkFfy5xnlKENgU1WrvJRNvY2d6lU6KDfkrZrQtMIFSXzlJPS9FGOWzWedRuo3G6jrUJLahv8ek13vsFvWwEEMggTkgznP1x13F9JYV5azWZZj5201Hd0Zxvah+fEmGhPzqWw9i0m37NNH+nagNaRh+uO087ThjiuR8l7+q3H+Eh/vhFFKd9h8urV+sh562n6yGLSc954utpSGJmnod3iN1ts1xGsQ5czJpPnmRWWk43w28+bXszdrKG2Jcv5DeztNbXvUfaB8Mz7jrQ+RTfnzA8WtJXBR4dWUpAP0IaP0IaI1ZrCltKBjFn/PXSCJqcoXePQyoyW1qhqKl9FAdWcVC8JxZQuO91NnOGFg0qMijKn+6AyXJ9VHJqexeKAyf2H+M/9Q1av3uOljx7z8U/eor5+yOz569hrt0TFJyWU79D9FmdLjHEjZhNRqL1/h5QIuSjfB+hGs1AYZ8ZkbVO7ORutd11NPcyxZartnrSxVoMefRp9P7RiR1nMkbRF2YKk9c6V+2lFjCNI+I7idxBi/rTi2SzMlc4IpKAiQt7Yo7Nkbdnxay80GSnPHESTaQfjxTW4ow3mQFmHPKQdYqn1juOusuFE8h2pawVBRqgo5BtsGNaUXLRzhxutyQbddGszEiSubwOFZUjwzmjKPMxUWo3u1uhuQ785JwWPZlc0DhSaAQkCSSbzwpIKK9rnQGg7/LZDmQ1mdUrRrqgWovpyMCmoCwt4GVyEcdETFHtCMZ8SWqHhlEcLzOKIVEzpIuNAkh+SGSprEmtc6NHdetT2tcWUUjt6+fSyoZIUw7PZhHJ6DXsj80O1ol836MKC0eLq1m+ZOhnG+ZYbM07WHVopjucFN2Yl83LQMvZSSLsSN4tQT7GHN5jf/gjH/SnHN2vCfEqMPYUpctEtxXlKIoc2JvC0K8ovzCnAWJQPiIfRChX2pt6VBjXYSOcOS0bL92NI+iGmkb6y/1pynWmhpe8h/k8l0rtN1L8zCvO/9bf+Fn/+z/95vvSlL/ELv/ALPP/88/ylv/SX+NjHPsY//8//8+/36T0zIcV1i/KdDDCCyNlaR3KVDJfHNErKDjF04ZSXAfthTgVABymsB+3zxkc2rafN3cU4wDkxkHJR6zeCWNvSZe8HQdYbnzjZdJzneZyTwrDpw5j3UvD4pqM96whdoDk5Z7o6xXQbrF6Ia2dMhLypON/2nG162iC0QW0NKSRiH7OueAtdJ6BQPrbpI6umxyjFydqxWYTshGkgRvxmS3tyRm8NNaDqObODF1hkv4gYZaao93F0Xi5nS+qj57B9SwX483P5bNotujnHbE9ZlAcjcLHqRODAZnlin4ULnNYkZVAqQuylaB1zSxQ5WqVRRYUqKpKyJOugmBIrUesKKeGs4qASnfDFpGY+m/LXvnjGvbuK/+fv+wi3bkw5di12oumTZ3LrDv3ZGUpr7KRGzw/Q8wNRqFFK1p7oIYr3SFLmMVplTDvwJcQdpXUfHNFkaqmWYl1oqjtKFNqQks0CEfoikDKAMPk5B8L+8PyPi1vIOqHg6QMx79L587I54wc1nma+fyYLc5UNJEbWx2VpEuOywshgEKRhUETRu8La5OHP8cJSSuggOssPGifGFZ3coHHcLcuNaIxCdT3Jt6S+FY3cJIN7Q7KJRBl+jEJHGcZEhxs8KbGTftwx1BEyDWSgidjMOausFm3dZkNcnZI258JVV4LkpKyisu2lPflws0sSB5UlTapsQ61JMRG6HlZQrE6JqzPMcs20EFOfo2nBqYa6tEIfUkIxQTt0PaNYzIghoI3BHF5HHxzj6yXrXtrDGx/oQsycfE2hlUyZr09R7UoGg0yBjoFieiSyV14Wys5HmmzEdDQ5oohRJMCUxq4eySbEyCKp+i2z2ZybU8fHrk24Pi8xiBvbc7OKWWEwg2NpHsChrFjefI7JFz/HzUnAvvAtJFdL0s48VUVC/AR3f7f9gvzCdYlsfgbteKOyZn6eYXisYM3zAOTiel+DHnbqJlpBunSJDyFCOpkk85QL83cvn/XBL8z/yl/5K/zoj/4o/+a/+W/yq7/6q7StoKGnp6f8mT/zZ/jrf/2vv89n+OyEFOa95IqQqX+ZZ560ow+J1kc2fRzNXmKxm/sg9qS+JTRdRrwVKcUxCQvdTgbH2z6MjtIamQOKfYvftsLzbj2+lZkgyGpQQaQS25xnT0vLZnAQlcqZ2HV0645+6+lOV8TVI0y/xZXLUb43hUgIEd8JtWTTBZKzOyfOvEmOfSBmJTBgnAfatIGYEoeNyOuOiL33+G1De7oen2Myu4N7oaGyjioriJy3fjS3EalIxa35TZzvRH44fFX+IN6T1meoak5ZTJkXguoX2ozDtzrTSxMCZuj9Dt9eUU6KAigoRVJlBtUK4VK7mi4qupCYTiZMiwn/4H7HX/7/vcryhqGuIt/14iF/+PaC5+cVlZWCd1BCUWWFnj8CMvWpnqInCyn+B7Q6dwVVirKJQbq1A+00IWv/AMoMoZQauwMmF+Mm1wVj43SPCqO0IaUrcv1Q3A+U3ExrGRBzxW4DkFQ2PdS5gf/UO6TvlsrywS/Mn3a+fyYLc02moqhdcb2vzEJ2ZFPWjjf9jooiXDCrd2hk5ifkXzAZaZfBjIQmxJBR791zaGRwkejzxHu7M+rJJhaXC5Rw+QLOqLqyYuqw7xgajcPnYaZhxMMaRaF15lwmVLshnD2kPxMkwxk7Iko+SnG76jwn646QT35ZOfxhmYeCJKFGL0Oo3dkae/4Q3ZwxrW9xUDmOZ4UMUjkZStL5s0zGoqsJarak0hqsxRzdIk6O2OJY9SIftup2VvLDVxF71Ooe8dF9oaTUE/TyOsmVGD0jIYZK53nYR9xPC45nxxTIpiycVMRmI593DKi+wfmWRVnw0kHNqgtoYFZa5oVm5jRqtZbFXSkOb9ziuDlB3/lt6k98FHvrI5jDG8JZ1TZ3O3aUFbhYlO/PCgwJdEiukqR3idrkwmI/8SU1bCd3yZv9r/G5RTJTZb6/XDbqMdRcsaPAPLV4hqksf/pP/2l+9md/lj/6R/8of/kv/+Xx8X/un/vn+NN/+k+/j2f27IUi7Qbcg79IBzOW0EtnrguRNkaMUmNRCuQBzI7QdoS2Fwqc9xcKCh8jfYx0IeH2cj0pkYIn9gHfekIbSD4IFQZZVnxINF2g7wIpJZpc4IYIGCnfYh8IXaBf97RnoixV9i2ulgLYDfJ6AbyPQm0Z7EfNzuwnRogh5tfPhXnKVBgfiSGy6XzmQw9cjB6/aWRDkM2IiuU9yuaMurw+FuZtH2h6keUtnWHmpDt7bXaM8Y2AQN2WlCKpFxqIbs6YTK8REIWVPgjMJVQ+hboMmo1/VCUglhokypSs1caBLajmh+hyQipr8I5XzjsebjvOouIzv/9j1IXhaFZwcyZSuIvSjF3dZCt0NcMsg9A+Yh4YLipUPZV1/Qm5UsYCri7KLy/femjO7+d6pZ4Awuw4synPsV0+hwGAiYkL3dGLuT6vG+9JhzS9uyL7d0Bh/rTz/TNZmEuLcscPv8C3HUKbsUBHqR0NRckQns43E2oooDOCojQqmwolLYosgcwTj3GvOM+b3RggeEFyfC/crxjGovwxNJ9caJL2CnM36vIqK4h51JYQ/Tj4SX6fA+qs+y20K+L2nO4863rXpQzZ5NdofORs0wuHMLdojyaOxicKV6KLKg9uRnwfCU1H3Kyw7YZ6kduGsxKtZdi2djn5Kfl8VVmLjnDme7K8Tpgcct4EHmx6HjWeTSfyXyDcS0HLTwhvvkI4uUv0ATObYVNClROK+QyFbCpOmp5N1hUWucWSG7PrWCJGa9TZiWxEUkL5Ft2umE6P8NnGGMQ1cOIUpj1HhZbDWc1xfYh58ytoZzEf/7gY+yyvQSnSa5hdi3G3PqcnFuXDdTUmab3XVdlP1FcVrEOCvoSWX/iV/DrxSYvch/HU4wtf+AI/8AM/8Njjy+WSR48efeNP6BkOlQIkPw7YJ9/vURQVgSwn6yNtL2odPqYL1ANSIPr81QeSb1HJX8jPMWbKYYy7HC0/EAqiFypJ6L1I244b90QMkZAH/EOf2HYyWzNIy4LY24c20G+9DJH6FpdzqzPDggLERB9lvUE7KEqRWXQG+oA2o0yHUEaCSOkGH4heCuyBcihv3RNaT7fu8BnVbx6cUjcryskNmVnKdJZt1gmfFJajieN4WjCbVVTVAWZxRFg9kt1BiqR2i3JbdLdiVszRQKeFdmLy/JdIA1+eh9l1A5NSmKJiOlswnc+Zl5bpbEaoljIf1UdSG4hKsawsN2clMSZs9ohYVpaDylHbrIQSyeolJaqWc0ohoIwRl+kReHk83w60prcryoecP9BNdkX5UBPESwfoXerXj4Mv40dDBl32+rGP1Ta5O6rkh489x9cV7xaI+R1AZXna+f6ZLMyB0exnKFrU3m5PaU2KWa3iqp2pFp76oAjyWAtnKOi1GechdjftngoH5LZcyDSWOMr3DTenGtH13XDgkKh2KKkCa1F5Kh1TZGOhNA6NwqDIglBo+sybXK3o1404is0ngtqnBEparJssATa0aB9lMwqsIPOmFKfS5L3IHW5XpGaF6bdMbMFRJRQbpWXYprJmHDhK2smgjitQ9ZRYL1l7OG0CJ5uO06287qyyo5JMQUBvT2nefJ3t3RNC11MuV9TGURwcY+fyJ+h95GTdc3/VcrLu8VEWXKcV16bX0FEQ8bTNttV9i+rWaGNZ1Af4KOdotcL2W67PCm5fP8acPyS1BbzwcdAy+a+nC1Q1IxbSRRjUUUIckjO8VbqShDpck5lzOFBYFKM+vLqU+Mbrcq8oH4ZAv1b0O6YkxcXQIn2a8QwjKLdu3eK3fuu3eOmlly48/rf/9t/m4x//+PtzUs9q5OsweS9fwaNizJ1JKb5jzpVtH3BW50H1iypYKUaSFy1wvKDviiTyszknhyjSgeOxeSB7/zlIiegl5xsl4EtKWXUrF8iCeAfQdnSDHiq66IPk2maLM6LkUTnR5Q4+7H4vMVJ2TOHQedpQaY0ysq4NpLqQktRVpHHtGCO/79AEurVH6Y7+fENqVhQaJtbIzJIW87oQI6fbjoebnofbnkWhKao5ZrZEe6EFobQ4TQeP6lu0KamsG83oVFYpcVrlvJeppSriiorpbMZ8OmFeiDlQMk4clW0lA71RCmKFfD5HtVBu+iAmbk5rJs5QO01t9+RoQ9xxuE0h69OgfW9cflwkC0dp2r0aYRzsfwukHAZMbccB1xksfKIp23ANXe6MXoGax3w9XS7K87Iu3z+huP964t0ayn2Y7x+PZ7cwzzvxHY3lcp9JBiqjyr+QLkkVMsjOKUG9c8vysrJKyMW4qJGk0dktpL1XlJVBvoIkQZULdoXOdZcaeWnCfFe7m0Ab4Y5lc6JkLD7Ia3Qh5uHTgW+spDAOnrjd0K+39OcblDX06y1F30oi0rsW57rx+C5wAjw4b1n7yLXJDDNb4mY1tiroR1QokJoNql0zqSqOp47CSjpYlJbaKQoLapvpOlWNUhNSOaMrZjxaee6sWu6sWu6fZ3MiK9KLldHo5oxw/3VOf/s11nceEftIdVijrMEe3kAfvIBRljYm7q9aXj8Rma5VK1JgMhtQcjA5wuQWZeqy1FboUN1GHDW1Q2vNbdVw8+YC5yyEnrS8NkquCeo/IdmS6CpRkykmoj8/DP3sXTeX089AYTFajQNAoqe+N/AZww6JeFLSe0KyTnsUrKtiRE6Gf3+zICi/A6gsf/yP/3H+5J/8k/zcz/0cSilef/11fvmXf5n/4D/4D/jpn/7p9/v0nq3IPG0pMIUymJQWECJ49F6B0odESFFcLH2kT0kKNFeitKDCsRd1kdg2qNDvodbyPCJxG+X+dwW6rDGlRdvcTQ2R6L0U1lpmfqyzaKNIUYqqPkQan4i2QldT3HyCqy19adBailp8h1OiNLKoLEVtSSnhCpF5BKErKFdg6wJXWYKNmLpEu+ICYmqUyq+/+9jSVRuLEGXItGmJm3O0b6idZV5aZqXjvPD4TNNps4ziNkTmZYmuFwKGNJKTR/fTFFChzR4hQv8kg2Uq9tRWMVkeMp/WzOqSMnPS5Uk0Uds8DGmEwpm7HSA5tQCUEu+QlIaO+WAiJbrhpdXoFPbWVDEKlPPbrbPJyNBl0nb8fgA10h5a/nZF+QDC7FNYNEncrC+ob10qnvc3Ak/I1/vdUX3pVwbaIsMg6VOND/P908r3z2RhfuXNMg7zPO6COQxDSnvq4sFStqds9jN8PX6hDa1NMauJu+fak7m7dIQ8rxJ3UjsMnBo9AvIjUj8UijDu4nfofF4ogiBC8j4uvgdJ8owoDinsNi3D2WRN8aaPtD4STYkta1RVY+tSKCWlHc15SCkb5pgRsa+d6IHbzPlUKUuXuZJkxMa+j3noNNNYdFYUgdwpCB1xfU73aMX2wZbYR1FZOd8Sm61wsZUlRVncfCcOno82HSfrntXC0wZHLCu0rdC2GZVdhkFKay3XH/02t27fxs4WKCuJDG1QhRmvC5QejR6SFSWcZBwxD97K1URGw/b+RGp37YzzBnrX0tSZ0jIiEG+HoozX6cV/v5N4L0CLd4ugqPfiZL7B8R//x/8xMUb+0B/6Q2w2G37gB36Asiz5D//D/5B/59/5d97v03umIqmMbA5Dg6En9VqoFLHHqirL5sqN6YPwpLtMgUtmh1prLZ4LsQ/Qt3K8LilzcS4KSFlRJEEyQvmzdYktLT4DErEP4Dt08kwKzayynGf51iGH+hgJKEw1xU0rykUpkoeFEQQdsuGOZl5ZisIQQ8I6S+U0Nr8fZR3aWkzpUCagrREt9qEDq4UmqI0mJbGHH9jHKSPuunCYyuAmDmPFIXv4LK1x1M6wnDi2faD3gVnpqEuLNQIOCF++BFejzaAD70Q9ZaCGJFGymdQl87pgNl8wm06zi7KsderKjqGRQlkb6VjsgV5GKRl81xd51wpB4wc5WqeVdFH2Z3iUzhx/s3u9vU3A/mxPUmr0qLgM4O3HUJSr3K3f/Z993uMTDtYXXvPCZ3BF7K8zVz7Xh/HU4mnn+2fyrxPZlxzc/xD2ioj94jq3pYZi+rG6O+9whzZp8n7k0Q03xcA9CyGOEkpDqxHj8rS0fux5dW51atToMmqzpOJIFUhJBmouFekDhWZwZhP1gKHFKclVG7P3cgPvJohDqRFLeNFr3+NSZgQ+GdEdd9MKN62wkwpdVGB3aIxWO+30wSxH+xZCK3zPrsubASlefT7Pzsvi6PO5D8810H5CF8avfusJWd1GxSDdhEtQgQ8xdy5y9yB/BkmLvKSyJWYy5QW15lPnX+T20QLjLiIzDInZFPLlyrF1KkX5QGHZIeVPzLHsTdLv/5+9yfx9pPwyan65tTl+f5HG8iQFmG9IPOn8v5avD3gopfhP/9P/lIcPH/K5z32OX/mVX+HevXssl0s+9rGPvd+n90xFgB3tIEboOlK7FYvzvpE8l41dBiCgHRDzmEiZtqf3+N6DwZrynSDmVnKly9Vf4zOAYYWmZyfZs6E0QiOJUehzvmVaiHpVNXG4UigpgxZ1iKDrCeVyRnVQUR1UuJnDlI5B/akwmrq0LGs5flYJvcMOXDhj0YUVg7Va0HOMGOcpRBCgcoZpZSlLy6Sw4zApSqNKyfHFrKRYFFQHJW5SjX4fTilmheV4VnBjXnL7oObmsuSwdsycGb1CknWkoiIWE2IhXVJVLZguD3jBNXx7ccb3PT/ldz13wIu3rnM4n2KN3iXRTDFJ+8XxSB00oyzhQCfZR6WH4nvQCi+MiCCIK2zmZee1M+3n+guvt3vdES0fNgV7NcKT0PL9ovwqCstbzRE9RlvZox5e1em8jJTvx/j779Ww/zvO9R98IOZp5/tnEzGPV1wK442RrkS8E3uME6S43w0G7R0XPIQ+O3KGC4pEgxb5IK8Vsk6sOIxm1MBculkymD44jQ7660YrVAoix+V74TxqnfmTYQThU+Y89pnS0mWt22SLvNiISQ4pCgoTxbTBKmmxzipLXVh8SFSFoco8xRgRZZV6ip2IY6SpS9R0jp7OCa4U100YjZyMFrdRmhbdb4nrM1J2wFPldGeI8ISscoGzufc7l/czKidjZ7SgOzFSF5a6MBRGFuCd1auiLCuO44qD1T10PUMvj9DVFGV2yJT8rh4VV8aWZuY2YorMQTSEkC5IZu3tAXfnfGnY84JcFkMbd49b/laxj5bvJev3HXh+Bqksbdvyn/1n/xm/+Iu/OCImP/zDP8xnP/tZ/tV/9V/FGMNP/uRPvt+n+UxFH5D8qjUpRZEqDB61XWN8SzGRzl6Zu1YgMyqtD3QhkeoSVU2wdYW2a1IUN+PUt6jQ4So18qxdtkX3IebiPOHKGXaai/NtJ/kjRlLXovuG2pYczwrenBUAuNLijHRp+5hIxQQ7n1Mdzol9oFhIoTyoYhmtqJ1hVjlCSkwKKc4LI4W70gZbFtiqJHmDKUQsACRXFjnPL2tHO6DvRmc1VhnSL5Yz6uMDbL3Flo7qaIGqJiRtMErmhw5rh8sSunVhOKodh7UdNz1og3YVCxuZtadUzX1m02vo1KAPD2ROxzpZmwcZQth5NQwnnP+9j1YPRfkAgA2otRpy6h5vz2gpkEfKoFKQwmP5at/Abfj3UIiPRfoeWr7/um8XV6HlY56/Smb2wgzRkzuj+8D7Nzwuz9q9k+M+oPFe5ftnsjCXojoPYe63jy7xxHcOjWmUuvP7Q5z7t0BK0iL1vdysvhf+4j6XPT/nWCAnaZNqV6BsSbKNINl7xbns+oXLrvTOrVTQY6GdDEg9AVlwYsjo+q7I7UMaeZNdSKSqkqJ6Oh2pKCovXMSAM8JdXNaOo2khtBQnCd+qnLSVFrS5nuGsg7LGzA8zIjKlbQU18lF0yAcZQOVbUrMhbs4z6uSx9YTSqpFzWTmDyVrzg4tnTAm0WGnbylFMC0IfsBMnrqG2zBw62cTMSstsIovXzUXFtUkxDgHJggi3n/8WjopEWp+SugZAZLFcIYjM0LIcJ/H3i/JiLMpTHgzaR8uvSlHD4O7lYc99BOUxecS3Q1LG75+MhHytC8aH8fXFT//0T/Pn//yf5zOf+Qx/9+/+XX7kR36En/iJn+BXfuVX+K/+q/+KH/mRH8GYpyxT9mG8ZfQpkYzQOZTSQiOJEb1do7stLgVKoyizughdEE3ymGUUI1hbYasSUzpC2xNDGBHzUquRjlI6I0CIj2z6IIV1OUHPlhTzCX6zHc8r9eIoWk8PuT4rubkQgKNykv+0UgJuuAq9OKQ6XsqcTFXgZtndMnOTp1azrGV4cloaJoWlsgYQBRpTCVKeosXW2esigwGV1SxKQe2bPrIYcqSCpAxmMsMeXGPS9YRuiikc7tox1AtxtwZqqzmeOGaFpdCSe2unOJpWXF9M2doJtw6/jWPW6OYU1a5lrUSoNpJL92gtV8XA5d7LeZeL8hEtzzxrnRJR7dFY4IISitN73O7Lr7WvbzLkfi2mgyNAM6Dlb3MNvhVaLhfDUJRfhtn3+P37Yg9XiFJ8LTFw7J/6PBG8e9+KDzBi/l7l+2eyMPcxotKOL65Qu+Jn4InDrrWFmOIMNAsxZBDu3IVLKqURAZaBQnFSG4pzYDcMOgwFWifDRdaOKMZViWm4iQeZRTW4jcYgSi69CNrHdosJ3Si5N7xujKI40PpAGxJeW0w5RU3nFPOJ6PMWsnCpGLBIsp2X0qIsrRj8HEwKSrvHP8965MkV6MkcvbxGqBY0QbH1gc2ge6vzZ52iOOk1G+JmBe2WVHbEqsZc21LbgllhhHPZePrBFAP5zJIrMbMDqqMFsfNEHymX4iCq64kUyF4GRueV5XhWUlrN80c1txcVB5Xh9nLKdvJRbt08YqF74voB2pZo31zJ1x+LcmN2PEMzFO67VmdENMMHtDztLRTyN7xYlO/zyq/Usb2c6C4NFo8PX1io9HApvr80FngmEfP/6X/6n/jv//v/nn/lX/lX+NznPsenP/1pvPf8+q//+tWyrB/Gex6djyRbo1y2II8R33YouyFuzlCLLYWZjI7IYtAiTqCbXvJlXUygnmLKR1LY51yvfIMzimkhFJCJM1l+UIr6rY8syxl6cUR5OKdfN4Suz0pWLbpvmVjNtWnB7QMpzLVSTEqTTRwTydXo+RHV8RGAIN6TeXa51GgdKK1hMXE4o6hLOQ836vJZVFXjpjUxBOykks9CybzSwFG/NivoQ+JoIhQUMxSArsYciAdECh5VVpjlMamak2yJ9glnFIeVoywrbD3h//vVNa+t4Q98+01OVcXHFzWTiSMGWWuVKVChk4FcrS/yty/fJ5eL0UtdwbfKcftGPvLZXpQpVIqLqlf7r0lkMA0aX3sc+My0mj20/KrzGN7KflF+GS3fzRI9Oe89/UHN9yDi1WyDtz/uw3x/OZ7JwjxGUDER48UPTmU6ShoMfvaHQfLQ5jBA2cU0FtkojUqROMgeggwGBY+OHsNFPdahwA9RLJOH4SKGKXWt2We+P/Hvm+RcR33elNBZLcAgw5dF5ocPXPPGRza9p/GGopxh5oeC5LgWWxb5tSMq9JRWc1A5trOSupSW5FHlKK3CkItHY1FFiVI1enFIrBaEasFq6zltPWetaP0WRhGSzp9xIDZb4uYcv27QRYtyBaZZUdfHLErLorSclYamlwTqY6LziTib4uYHTG/JIhV9oFxOKY6P0LMl3hTghR9/OC1wVnM4KXhuXvLJ29f4hS91/DMHx3zXdC48QOOEI154+aD3NORhD6UwZte6zEV5Mnucw4Hj+AS0/KoEPSwQj7U193Vsr0rYF1DyPRQlP/Z2aixvxT98mvEsOn+++uqrfN/3fR8A3/md30lZlvzkT/7kh0X5+xh9SLmj5cBaUozEztOzpdico7oNVT1jUmgKK0h1H0TTfNMHmhBJxQRdTbBVKVKFIYrvRLNB9w2lscwKw7yywi1PaaTCxHqCmx9g5kuK+Yp+rYQiFyKp22D8luO64Gwma0fvI7PSovNGP7kKM1ugl9eoAKxFz5bimYBs5ieF4aCyownbzBnhuyeR0FVFjZvVIqNXz8Q3IuccpxWL0o4zUPPKMittpvwpkivRy2tQ5I1DLVb3abJEVxMqUzOrJrzWKO74xHnr+cSLcz7tDNcmBTdnBbUdNgmO5OR5kraP59o9CcLxsStiKMpHE7dLIIji8Tw3PDbQBR9TvRoi64YPh1/wibg8/JkGmqu89r7D51W3/P55PYaWv11csUF5O8riNzbrvMVQ1e/QeK/y/TNZmPuUUPkGGrloudBMWZ8WyLKFuwstxswPTwmrs84t7G6UYeIfRikugsfo4nGVE6SwJ5sRYTLvL0YGC+UnxWPXfoyiqOID2m2ha/JQkqXQMpCk886+jZFNJ9zHWEyxiyPswRK1WmGKQs4hiUxVaWoOKksXCqY+YpXiaGKZWIPuN6jgRXLPlTLwWc1J5YxNH9n0iYcbce8sjaLqNLHOSS4lkm8J25bufC1qB87gmjPq2TXmeYFb1A7oR8OPPia6qDCTA4obt9CFI/mAnU3FNbReErUjpJ7CCNo/c4ab14/5f/2Dh3xbA9/zsRs8v6ionZatj9JgC1I2VlKhI4U91Dxz2q8c/hl55XYc5g17C8RoJsX+06nHUJt9xFzFMEpmPYlnOH6/L5t1BVo+Xh5vMYD6nsYwTPxujvuARgiBoijGf1trmc1m7+MZfRiNT3QRjN1xq0PbS4G+OsW2G6qZoN5V1uMOvXQYt12g9YlQ19jJHFMV6HVW6ehbUrtFd2tqd8gsc7vPGy8DpCHlwt5iyhlmeY1yIy7LyhpZb9oG1W2YV0uOJ0U+38jUytB9QsCDWM7Qy2NQMjwqhbnQUbSCo3uingABAABJREFUyiqmzuJMlMK8zIh5kvys66mg3YCu56iyIimLVgKaHFRuLBRnhaF2Wdc7JbAVsUzoyZLpfMlsPmd2/0vMplt48VvoJtd4sA1M28Cq8zRe3FOdkaHQ2mqhjChECtEUkt+CF+rkONz5OFXlscf3itGrDNv2Yz+/aXURsRbe+U71Sv6gjxfnF4bsB8fPPGB/mVu+n+/3M9g+GMPe9wNaPr72EzjaX4vm+GW1uMux3619z+IZ7JC+V/n+2SzMQ0KFRLR7rf59Ka2B+7Z3oaU0SGAluiBFqo9JZPHsXiHtvSAhWUpLxR6tC6zSo7LKiKom4fCh8wCoMmMVdxVSMKiKyBBpyskiLxJZQzz2ncgG+obSLKQ9m2W+ZAhUUPM2RGJVScKfLvNra1QxtHsDzirqbM7Q+EhhFPNSkrZabXMRK0izqmqSK4luwqYJPNz2PGx6Hq5a6tJSOyPI1fC+vLjX+bXwuk3pKM4foufXqe2URWl5VFr6EDFatH0bH2iDpaoWmBsvoMpKNjL1FHN0m1DNaYKo5jituHH9mDdCza+dR/7w93+c28uK5+cVN6YF1TAECuPnmJIdB47Gy0I9jpRc0LJVOgtbpguIzW6tuWj28JZFebokj/hW3PJL3+8vWsNF/U6wi/ckYad3iaB8gFGXlBI//uM/TlnKfdQ0Df/uv/vvMp1OL/zeX/2rf/X9OL1nMla9p42J2pTikpx1wP02kJo1tCt06ESdxOo8eMmozLLpA623uOlCfBfsiuQDofOY7Qbdb6nqIxaF6HmflhYfZLZm08tzTMoZenGIPj/B9TtJ3dS3qH7LdHrEtYkjxsTGh1FjOyXwgHY1enqAGQrFepELXFHtqqxhViZ8kPcwcSY7WerRyM3kXKGqKZSz0f3UakVlFUZZobZklZpp5Vg4x0I75vaA8vQNVLwPp/fRh0dw/CLRCuhUWsU8aQrjyDLmGL3TCrdmL9cO+RQkf+9JFAIjOn3VoONlpPyqeAwp38u9F4ryuJsne4zGkuIOJd8HQfakGS+j5RfO4dLrD689cMvHU3xCVzHlLvxFCdzH6TxvFd/oHt2zaDD0XuX7Z7IwD7lg8OEiB1flif3Ud7Jj7ltx08w/H1p9Pia6KDq3g/TguLOOEbRw8VLfQgyilWrUBfWQwQE0oXKiym5sPoznQopjUhH9cynMuxAlrxsnPx8sm0O2i+62aN/inLQ4qyzl1fSRmM+9DYkmJKbFBD0/2n0GrpQiPUWcESrM1OUFSysmTmO6NarfktqtdBeUaAAnU9AnaH3irPU82nQ8XPfMQ2JeWvosVejye0ox4dseUqQ72xBXj9DtislszqKU1rCPdpRL7EKiCZFZNcUtjrFlJUnR1cTJAaGY0/aJycE1Xjy+wamHRev5NvIga2lZVpZZoYWOo9Vu46Wybu2wYIwfiB75hJeL8oHCErPCzoic5EOFI3oRIbk8fLQvl/WYucRVcQWf/DLn8mtBy4fQ7yWE8gwiKD/2Yz924d//1r/1b71PZ/JhDLFuA62PYrNeVBkNFSdQv9liNytUv6Ew81yYy+Bj52Oek5F8OXM1qppiy1N6v5Wh+26L7rcUBKZF7tJVlrNNT4wCJmxDJE5m6HqBmR8K+NNshboYPMqLic7UasLEUXRyPxfaoBT4AM5WIi+oc8fRiURrJGG0ojRCR/ExUVrJb6PFvLHoyYzkigy+TIjlRAbXkyhClUYzrwuOlnNsNeE0FswXU27PLHXq0OsH6NlsN4NjHbGYSh4ECq1IVmN0uuA7YZTI5bpMHwHGAlO42lnmd/zZXjG897tXAVVvP3B5sSAfzmmc4YHHUeqhKL9EF7xMsxny7JPM4/bPYb8oHyiL43m8Rbwdr/ytaCzvC3HuXUvdfnAL8/cq3z+ThbkPCZ3Rb9n1DjenyB1eUDhJwpEGRttmn+UHu/zv0cBi1LjtUdn+WQWPKdhJAWYEdejWi7LLxRswxcBVmh67wjyJ06a1orFr7Ki+sq+vWxpJ2HVhqAvhQA8GGV0QdZaJrTDTubz/4KGohFqDIDHWKFxSOMBpndHyDarfEpuNbD72hlZ9hM4Lv3LVeFatdB8aLy5wPginfuTTpyhOel0vbd2+pdBQWpHg6oMsikoJiuXzhsLUS5SVFlKyJWp6xGR5zHffXJCqOY+awEFGq0IEZwS5KYwsQi4j1TunNw1RXS2RNSAll4typQnjrMHV6MmufXmxKB8VWLKqwk595W3Q8vw570/oX4WgvO2iddVjH2Dk4pslPvvZz77fp/BhXIqNj9Ktq2ToUTuD0grvA37bELcrdL+lrJcimzhIwibYdJK32hBJhbhw6tKhmlaK+25L3KxQ8w2VnY2oeduH7Lyc6AM0AaYZNU99S8wdSkC6qqGjsg6f0mhLP3T0YiLPwfSSSFIQJaisiKI1WbMcSqQgr4wWadqgpABnBkUUpNeUpHJCNTvAzpYcVTXRTjj1sEXy/HFpmOTPIRlHquZE43aFuVLCFc+bB6MVNuXT05KrBzDCjDlPMWSmpPTVxeMFit7j3cC3Ah4u83rH3MslKseA0l9FFbxUlD+mhLI38Dnk+8vncLlDul+U768HF87jLYnij9MV30m8p+DLfrxrIOaDu+68V/n+2SzMU0KFiNc6yx7mCF7UVLpWCkZXoLsmO3DmY0Oi8wEwNF5ktTxgzE5VJaUsu5hdNI0etFNlQnwQZrpApY2RFGSYc+Cmq+Blk86OxrLfWu0riy4q9HSBOT8hdn0+yR7Vb8Uu2ToOKsu2C6L4ocQ9FLLJUSmGD3qGJF1TEF05auRqJFFrJfQQFz2qWxNXp6JDHrxIbwXRbR9SwKhM0EeMzk6eWRFm6mqxmZ6KBJmnFRTLtyjfyHmbgoNK7JWdjxRaU+Ss5lMiljOUrXDO8pxecXy9QE0NyWhCRvatUfigiexUUMRoQjZJlqzCMyQTpaXbka5Aax5DyrMKSx74vMx13M+FVw18XqCvDEj5MHj6NgOflxeLq3iXcDVavt/mfa95h8/i8OeH8c0X696z7iN+WlBNFuh6gs4um6HpiJsVtt1QzoVfXVlDYbUg7X1k3Xs2fSRVM/RsKcevG+lQbjek9Sl6e8riYMGmtqx6R5M7nyFEVq1n5jTV5FAUswDlTgS4caXc9/2Guj4godEqEqL4HFglNDmPwrlaUOYUSSoDBTB6TsjADxgUhUUclpUmFROwFTMbmG0eMC0CixdfQM2OiNMjGlWw9ZF5FiTQapcnAaIyKFeLodyerOAgEQvk9QFMuih+N1BHhiJdlBc0qDSc7uOgwj7osKcVvl+/vVUpt1+Qy7/Vjs99uRh+K73w4d+XzmNfnvGquFCA83b89idw3PfPZ8jze4/tfx5XuZFffV57378XxfCgavdujvswLsQzWZiHIFN63kqxux8pI8cphh3qncKFi7oPCa0FcQ4pF9gqT2prna3mGKUXB+fOwT3z8YndSMr8drwnmV7oNMFj9G7H72MkJTUaV7Q+UbgaXU2grNFFQ4p5iDV4VOgoTMnEWaZlGE+ryMOgI4CR3dPQSQrQjMb4NDiYCRSiFYLoZvWZ1HejCk1qG4g91oCzOye8QZI9xp2pUrIFqpriZlPsdAVa79zoAFLEGEW5x5W0WlNZcZEziObwzeef53jmMJmLJ+6bDpXS6MDn9tEbLmnX7mnWwx6Ko3b/vjCNf8Xgz2XEBC73P64uyh+nr7wNYpL/f5WW7ddKYbm8YMm55f+/V4n6GaOyfBjffNF0QVw8A5RW/A60tSidNc37FkKHIeG0otRKHCcJY8eu8WF0AFVFjbZGtMxDFIla32TU27AoDaeNyCaCAAl9TPRJo12NKmfoWRQqoHGCOseADj1OW6LReCXd3GHznBJEbSW35Hw83MlWg4qS4AaZ3EJrZqVmMVUsbGJaWnQKYG5k9H0iAAySlwqt0EDISWIEDjJ6r7UV85oL1d0O1d4VnBe7hhckAi/nGKWvLrCvKkZzfK3Aw5VF+UhfecKA5eVzgLEz+ngx/Dha/iQVmIt0lktUmreKJ21Y3kF8w9DyD+OpxjNZmPss6xOyTfs4LJd31DF4Uogo3wrqHSMKPRbWo8195qkP6ioY2VWPhfc7KXayTGPyGT3uOyl01aCDLsVtRGgiGx/ogpHFopqh6zm0W2LfCU3E96jQ4woojWLmzFi4TZy41Gk1kO/0bojUFmOB23vy+0ukyCifBUK3SSlC30pLr92i+3Y06xi0yCeFFc7mHtqdTImZzlGTOdXhlr7YYspCNhimACWKKVaJxq5YJxumheZgWqNmx9y4fcy8Eo5izA6Z+8ncKCVUeXisMFcjMv24fuyFBH25KN8b/BlQE+CJ6MnlduZ+UX6ZvjIOAb0dUi5P/Fi7dzz/r+li+wYl7K91AbrquA/jw3hK0fso3c09UMDWJfp8I78Q40j/s1rs6J3JMyiITG4XEjFLq6qiRpcO7YMAId6TugbVbyjtkmkhw+6NimN3UuiPULgJqWzRKYqHBTBqZaeEMWBTThgZUt7J6pFpk/IDGfROaAVl6ainM8rJhNl0xtFiivEtujmTdSz6nYKYtiRb7nKtUiOAovKtd2FAkWzWk9H6q2Kg32hJdOPjYzGaQZ3dD1TO2fpix3L42V5+e6cDn1cW5cPP9rnlT4q983iSEsxbxe71ryjKh78rvHVu3P8suLguvRtzoPccLQdxs303ilof5vvH4pkszIchzpDNIGJidyMMlBIfssKKIOYac1HuMCPAPklxn7RBWwtGo8LbyR1euhCHgixGSfKqI/UtOvQoIlarkefehzQiOF1IoqxS1GKu00zRSu+Q5xhzS1KGQIdbprJCC3FaoXNrMo20CEPSjj4x8tB9TFmHPVGVWXd94JXHXJy3W+g2qG5D7WYcVJbDScGqkeefFLnwT4za4Xq2xPoWUxXC/ZwdEF0pbcMoiazOLeflbMbLvoLZES8sKpJSdCGhrcbaUvRo90KTRt79ECql7KiZi/J4ETG/MJ27N4S07/I2DP4Mxfjlgny/G3KZX3i5KFfDhuJyUf7YQnXpvLiad/lOkCQ5193n8p5E2jPreqfHfRgfxlOKkHbzOcmW6KpGFy5b0ysBGbxHxR6nxfWydAZn/K44H/KgLfLxFboPKK1IKZK6DuV7ykqAkIk1uUu6K6xDSiQruS8WAaUNJHF/HgpUGZjMhTe5RmV3r6aMlJdlST2Zytd0NqpCDCpPQ8ZIeQ6H5MbPY3SvHNBuJfkhXar3hpwx1pFKoR7rB+7/vnqseB6LUdjluctxqQi9XJTvx1WZ6q2K8t2Bb/PaFx5TF372tcgzXi6Vn1SUq/18D48XpRdy/cXz2P/Zk2gsF8/hG4yWv1sqywdYHve9imeyME8xETSjDrlYve+Q7hST7PxiFOnEFHfqGXtZIGVllbGw12aHfmh9cZt6KSIpD34OD4TRKEghCLTKPHOrhPOotSJmi/vO5/ZoSFKYTheobUaArGU0CkoRl4dAycWxyxJWhQXle4g9KiVJzNqQbEHvoctavF2I4yBSYRTW5ZauK0hbsVaOXYPerlHTNZP5nGVlOZ44Nl1BSFBbQ5EL3wAYN0EvDoV2U7dgHHp+QHQ10ThiiGgNy9mcr/oJYTLjhcqxLC3VMJSUEiEOSLi54JgJO/RH7Re8lwvht0CoryrKI2r8m18lkzXEVUM/F4ryy+dyOS4l48d45fvX0jtQYZFze8J1+SGF5MP4HRo+D+pjHBQVdlJj6zUpplwgS1FhtEgP1s5Quh3AEkn4iKDMheQ/k92W1YD6xh5Dypb0ZuwSFmbotEru01Z45QPiPag7Dfd1Tt1jtac1TOoJs9mMyXTKfDbDOSm0L9/uQ1eQGHLFbUmWSwCE3eW3PSqKGvLTFRFTEnBomEvJOWconIeUsj/S+bYb/6vy0BOK0KsK0KuoI/K4uvja++/97XLcFZuDq+JJuX833Pk1FOWPvfZVm4TLdJavrdjez/HfsPo8vlsg5sN153I8k4U5COKdBhQlIbKFejcpn2IiBo/2HpUTtoa96fK950rk6XTFIJ2oxkI9J2WSyOrBqOJxIdmkBCkQfRBkt+9kGDK0WD2lMOLwNrqHpjQW55WrUE5Q8wgoo1HGkhAtVK3EZtplSofLyiSWhOobQZFjzK07ad/1uX171noaH7BaEwuL00okFqsJypaC9sQAXUtcn2PnK1y1YVbUHE8KNn2kC3F0pFNKFpNkHaqao6OYOqmqJlYLYjmnD4l6tuDg8JhgSr4tyECSM4qJM8KR3/vsU/74UOrJxXj+/uLjl2Syhhj55I8P/gzT+PuvDV8bv1ApnqwIcNW5PKEov4rz+Fb1+PuClvPuW5vvqh36YXwYT4hBQjtGSEWBqaeZznJO6P2eOkrAWsZcNSlMVkeRn8ckVBhTT4nVNM+oBAFCcnGugqcwjokzI4Jc7HkmJDJibQtZI8iIrMmuy0mK28lsymQ6ZTKVYryw5kIuGWL/+/0CcF8bXF2moOwBDlw4XigrQ9F5lXvhwBh8UoF4+WF1Ve698sBLQ5fD5/I1pqf9ovyx14a3fm24AiX/2igsj+X9S/TFKznucHFdeqvz2TuX8d9fR8p+z/N9eOeF+Yf5/vF4JgvzQFY5SUOxnHZFtL60a01BaBJGJKmUeoshTm1Q+1zgHPvIeEqyIdjpmO+fWMxofUBnhRgVPMYpCiP6us7IRSxqMoLiCC/coerprtGYE70MNKpRrlFrKI2mtKD7LfhGOIgAUY93fcyF/6YPrFsv8mIx4mzJ4XyOKs7R0zlxe56Hp/xOOqxaMZtP6QvDcTYnskboNDqDRGLNXKImS0HrrYNqwez4Jt9x49r/n70/j5ejqvP/8dc5tXT3XbPnJiQEAgLKqqAxOiooEsR1ZHABZ4xmcByD+4zA1xnRcR5GhQ8qjoPiT6PDuI066rig7OiMwSXIJhIBiUBCAgnJXXJvL1Xn/P44VXWr9+7qWrvfz8ejH8ntrjrn1PY+r3qf93kflI1hzFQEipaKcQfgpG9UHn//uRdyvvMF0HC2e5Ug9//rp5l3mtXPxm/lLW8kyqtj29vElbdoS9AQlvm/Y/SWB/WgBNmHIJpg6D5hzXWVXSSXhz6UBytbgJFzhLVUOb11jiFdQzGnwxICOU1NPhcSkFxNlOeFIZWPXArwXAFMV+sfMGlD5wZMTYV9SMDLyuU0Q3nHuaE81wC4bmJ4fCFGCiZG8yaGxhdBaCbsBpMLGwlQl4YC0J1gWRsO57NtbnmigSCvCt+UykHizT11i2sn9joMIfFnQpFV9t3xzreuZb7omhCW9htVt6kqVWNNpe71cNMiVhfZWJRXbdPJhPhar717KHUOwWZe+wS85QACr/RMMeZ1DKQw1wBvEQQ3l7m6g5Wnm/HqkBVIAQ0MOlOeD0NTntOmkeQan5846BpGqQS67QxnSqFymau6He+FxudvbLuiJp7aFoy8EtU5zlDRuCP43OFRFd8OzVk8QwglyJ0JnJJxSAhwMEguoTOVCkuXtvKWl4sQc4cAAHyIOTnUVbvKwsZsxcZMxYYt1eiCqXEszusYyY1AGxoBzw9BlB1hXilDzk6DD89CM6cxYo5gYUFHxTkkg6vUXsrjooHpalloxoDFEyuxYliHsWgh7MIY7IpQ6RF1wBas6tRqjNUJzjp8HVTD+O1aakJYPCHs5K31x5U3ysQC+DvNBkOZUjYW5a0OoQNR7tJOlLf0lkc1lEjCnEgBpq5WXXZDSTTdBC+MQBRGoPM5MMP1VkvomhLQQ6aGshCwBIepzadqdUP92PAYOOCki82B5QrK3jpx5SZ3l6BXNk93Rjw1MBi6jpGxUYwN5TCSN1DQuXo5cF4apJsbHAysgRytFeXtQ0ZqRLDfntSV3Vk4nFdUszprbEpHtg4I5Bnu2Vvuq7dOCDcJowHqHXPVKRLrw2mq2tEuvKfmRcoV5anWsILSJYbFQApzF9vxWttSQjLdEbgGuK5BWnZVdhXXma5zx8BqSrzzWpFY63F3cCcKSifFng31UmALOKLcAHyLTsAWTkYYlZnF4CpFoCXV4gUqnMNdTY2pkAumg+UKAGMQugmpmc6kJ6hRATjeWwZVtlUCKnOQs9NKzHMOmMPgwlJpsgRQsYVaYKNiQzjCfNayMZQfAc+NqA6uOAuUBCBtteBQaQYsN4ScUcCQoTo4KVUHZWjMy13LDBNLly/DxGgOhpmDyI9CGgXlkYGTd9xpr2sc3dXkGKv2UACNhWbDWPJmkys98TvfcXWSEcA9r25bGs7E79ST0IGn3E8ndrpdxxUV0raDDW0G2IcgmlFw0qwCjujUTLD8EPjQCATnYKbj8XaFM2fOqsNqlWfTSdUK5ni7NRMwCmDD6tlimg7p5hhnKsracNK6AsBIIY8FY2pFTT03hLHhAoYNDk1UlAPGSffqPe9wnk/G0GQZHrVNO+cEc4PVG33fnLZOj1Y0EFndivJWObrrynb+bbgmQ6eCr1aUt7CzzV5cakczmoryluE8DcJpuqSVtzxqmy+l8Bx73e1IwryWgRTmjDNo/inovhhzputgugFwS00KcveBs1ACGHTnjte58qKjkfByYs3RYBa76332xLqmq7y6mg5uaJC2gJe/SgowSGhcxT5aUoWD5HUNhrusvGs2OAekmkgk9RyknkPFAipOB8PBIDV3yNMGc5aGFsVDKgSHa2AF5f3mzPTeEUoVtaS1PWehoGuYsyTKgkEzCmBDI+CHpiC8pUzdDAVlMKuEnDYEztQwMOdwXjB0LFu6EMuXLFYZCKSAYBxSz0M6Q7iAI8iZWmDDE+FwhC/gTKisubY+A1gnypvFlDt/z3eOPiHsCxdp5C2veidrIsqrXhgaeU/qJvg0EOX+37sIYWnZcdWek7AJOrRJMYdEiOQNDabGvTA6qeng+SHwwgjANPB8AczIOSEf8wv2jOV0WLaErjHkdFdoO1lUTLXiMqRQK2I6ucGhmyjkC1gwNAKeK0CaQ9B13cuOldOZ52jwcoO3sAWM1XtJG0ZhdDr61SCGOjRCEuUNt+uiGR0L0CrveL0obzXp1E3B6xXl/RZw4mkzUd5kBKFxu+KMW2lAYHuf5mGAZMiEMN+5cyc++tGP4uabb8aePXuwcuVKvOlNb8IHP/hBmKbZdXmazxMhhOPNhgoJYboB6Eogg3P1twODijN3vS9eOizAeYq7e1v0x7czwwQzTHDDBDTheNDdB03FPuZ1DqGmdGLIUMOrOmdOCkAnDo9xZ8n7HCyolIcVW6IiAM6kWv/IfXakBKwyZKmoDB/n0EbmwKwiDD0Hk2tOHnWGsqV2mrNszFVslGwNebMAbg6BFZyJUE4YjTo4G7ArUMkD1IBsztRx2MQEFixegryhgduVqjdsqRle1hPvWnEVyuIPG9K4EsAM/n8xb7278QzUCHE18jDfabmTPTvKwtJMlPuzsLShafaVLrz3zTxebYe8CSIlhGnzhwyOvM6cOGqo+S16XjkVNF1ll9JMZYelWpzMFAyABmko+57TmRcjDs2ASnMowDQNw6PjGF6wGCOFPEZ1CTY0jkMsj5KzkiagbENtGJ5kDO5Knsz1mvtQmbLq45RrafQ8S6Ym/reM5Xb/rnE01JbWrPqqersMXalqRxPPcE/e8qY7tY5t75RuRHldXHmbN61OX1aq29M4vMn7Ow6bL+xAHnNJHvM6MiHM77//fggh8IUvfAFHH3007r33Xlx44YU4dOgQrrjiiq7LMzWGslQTepyJ8E5mFUPNljcL4LZQC0BoKv7bFVw6m/eYm7oSxpyx+QfP/8YoBNQ8d3iLBPm99QIStq1y60qjAD48plIm2pbKepIrqKFTqAdvyNSccBqOYYNjyOAoaFBpCq0imG15wk7oOcxZEocqAtNlC2VbxZeP5nXkNak6IubElJfmIGxLLUqUK4DnRzG0YBzDJsdwTsdIXkfJCRS3JdTKo7aAyA+pxY3GFoFxTaV6NNTEKKGrjo6DIZ83sGbZYixcvgJ+M6+Wt5+/BQWYCivyTULiUlYNOrj/db3lbhpCVWCbiTW1E6CcfzuZ7Om1sca+dZweq8Zr73WcqOkoW4SvNMoO0LQ93t/VnVarzjR0gsYcksd84AnT5o/ndQyburcqpuQGpFEAKwhwcwhS0yGNvLfEvcYYCjqHyZ2RO43BYAwmB3RpY2R8HGMGMGZIDOVyYJoGqTFIHSoUj2tejLnwLVGvbAO80T93bhND43hvYF6cN6OV4GoaCtFG8DWrrdNRt4695L62+NvT6JA6bVM382YataNZG+ZdZPVt8behoyw0DYc8GnvK28WWd+IlJ0dM9siEMD/77LNx9tlne3+vXbsWO3bswNVXXx1ImKuYbQ4Njohyf2BMhbJouspyYphquNIJxQAAzpm3mpvOld+dwTGgjR4AqSZecqgXAZ0zWIJ5WURcT7U3PGoWVJhJruAIc8N5WIWXY1fnKt1hXmfgVhGoKC+3tCpgugGJHCTjsGy12t2MsyS1m5UlrzOMmAa4ZqhjFTZEqaJmms8dAqvMgVtF5DQTI4aGYUNDKa9DyPml7iXc8B9dxVvmVcpFZrpDujnkRxdglVnG6IrVQG5YvRn7habPqLiis9GCPdw/kccngJnv2nVlfFqIcn9cedVlbDKk6W9TtzTsoNqIcj/NRHlnlUcvfmVQDwpN/hx4wrT5ag0FZfPV48SUvTXykLoAmLL3ytYyaFxCOrHmuZwBIz8MaQxh2aJRLBkbhiktsMocWKWo4moB9aw683rA5lfTbLZEvR/JWEv71UicBxZbAeKWgfDCJJq9LMQ9ubEbUe6nOnRx/q+6kMWqyroIL2rQnka0uh6JRbRImvwZFpkQ5o2YnJzEokWLAu1r6gxlcMfbrb7zMrPoBqD5RLlmeF5rF2+Cvs9rO/8jh7fIkAubnzjqfXzhNJJxVaeZU2m4pATLDzme9Jw3SZVBxbkbnMHQGQwmwUqHwJ00hRACMG0wPQ9IFctetGzMVgRmK7ZX94ipewsTwcgpb7cQsMuWl6WFDc8in8tjLK9jpmJ4q+flNOakAvOF/2g6WH5EDYPqJoYWLMEKaz8WjlkQoxMQmqY8DcKC5LrjIaoX5bX20I3la7aa5rwwBiBbeGoadQZNRHmjuPJG194rxm+c0cZb3owuRHmzuPJmQ6tusUB33qRQkEHTZ5GhJuoJavNzurJZuje3kim77m7ANUgtB6kZMMwcxoZHoOWHoOWGvLAZgzMUDGWxlb1WAhzOysnz2ZzUs6xsgPNcuiE0qLcfzhzPtnQVN92BHWwk+hqt3Ol+7xXRNqym+bNbJ8pbCNB2YSz+drUL0Ws5ibKLcJFWdc9X5gtf8f3dvv7morwrn1NSohygdIkhkklh/uCDD+Kzn/1sW89JqVRCqVTy/p6amgIAaJxDhyuS+byxZGphHqbrgK2DmTlvtr5763AGT1BzxqpeoT2R5s/MIiWYlNDgrLbJOaArkW7qbkkMgBPPniuob/JDEEYeUs+jYjtpHaFCOTQOGEx5y1llDrI4ozKrSAHIYbC8emsVEijbEiXLxmzZUt5+AGM5XcWIG3louTyg6WCcq4eqXALKygufH1Le9bGcWmijbEuYGsOQoasXC1dIauocjQ/lMaGVMTJigw8fDpkbhtSMll6aVjHTrgBv9J3rLa8KY2lYSE1HVTP5qZEYFjWqt1VsOeB/WWiymIR7oL76q9vIvN9kjWFuJMob1e8V5X3XWacVJeQxJ8KiE5vfzN7nNA5TUw4NzXOGaGCGjqGhAkZ1qfKHL14OrTCKCjdRtqW3MjSgwls0Xz8BrjXND+4+w36hWxtiVks7r3lXuG2qzT4VgGae2VYiuJE4bybKW9XbSZ7unmgUb97iErRNU1kryjusv1WMe6+iPE67TwsMhUfwJzYELrnkEiWwWnzuv//+qn127dqFs88+G+eddx4uvPDCluVv2bIF4+Pj3mf16tUAVI5ZlZuWezHi3k3NmBLImhNfrhueF9XFTbjC53fxYJqucqEz7hPoEpwBpqZWlFPpt1Rn4WVVYU66Q8NUISx6HtIoQHBDdRLORCIlztVCO7BKYFYRYnYaongIYu4QZGkOzC6DQaV4FBIo2RKzZRszRQuHLIGZko2iLSCMgoq1zBXAdN+qp1YFzKqAWSUUdI5RU8eC/Pwnr6tFOLiwACmwaDiP455+Ap521JEYXX002KIVEIVxCGMIUjerPEl+qsKdUe0F9ndk/o9/kqV77tt6SnzeLNnKU86qV9JsNVncvT/9orxum6oXgiadSQNR7hnsJqK80XkCOhTlcXqj3TzmQT5EXxKlzW9m7w3uOEV0DQtGClgxsRzHrD0Czzz2SDx99XKsOuwwjC1bAS03BDcMxdBcR4r6aMzJysXmV0dWK0X7Po498eM9i6gW5V1NWAxKM7vbJkTC/6kqrtFu3cZyu+1q0JZONGRHOdy7yFte24ZG9bU6F4GEr++6NMy+EnNYT2i4c4q6/pAwryVRj/n73/9+bNy4seU2a9eu9f6/e/dunHHGGXje856Ha665pm35l156Kd73vvd5f09NTWH16tXQNQbTedjc4c35544rD7ITa+7GmHu/Mlb9L5zFZxhTQl4zlGHQDDDOndXgBBjj0BwvOaAWvcjrGjTGwIQ1P6bpLDAhdeUtL9oSZSFQESqURHOUmAamJntaFcjSHGTxEGALCM7BS3NgwvKynEspUbHVKqdzFRuzlo2SJWGBQTMLYLk8tHwe0qood7wUYNICs8swzZxaAAM6BACdAQVDvVgsGcmDLXkGDls0Aq04BVEpzosqxrzJndKd4Nml56ZRzHQ7MVxL006hSdgI0Nwz7W+D2z5W9X0Db3m7CUANDHRtjHujEJ+64rzfUiLKCaIBUdr8ZvZ+YsUEFi+bwPjIMHI6hw4BZldUaJ2w6l7c3TAUjTMw3+NT9dgx3nAioH/VSMaUWfcvBpd0Srug6RG72a2T0JFOaHeuAp/KDkV5u3ob2dY6b7k7YtvwBam5KA/apqrv4lb2MqBThfqlOhIV5kuXLsXSpUs72nbXrl0444wzcOqpp2Lr1q3gTRby8ZPL5ZDL5eq+NzQOGxycM5hcqxNYYE5YieMFkVC5tF3cRYWqmsA4VDiKDkhb/avPpzzkXInavM6hc8DkGgwNMDSoVIOYz9AhncmnQjdRLgmULYnZigVLqBcBobtuXQlZLqkVN4tzkFKC64bymgsLOjNVOkWnDRVboFSxUbFUmWULMPUceGEEslRUHng9p14woAyKuyiQcFMeahqWLFmCGWMMbOEIxkwOW0hwozBvhHxDqNJZdKM2DaGLf7iyNqbcn53Fv417DZqGjXjXA/XDubUear9R9Hmom3nLaxc18relaruGbardqLEod+kkzhJoLsqrSML4UR5zooYobX4ze7906TIsGBvxPN5Ag1AU1wPu4IZStJtQ3c0iMP0iysOaeNpLDvWqUeogE/97rLOKTucQ+XdpI8qzFMLiIoUMFpaSuaGB6MlEjPmuXbtw+umnY82aNbjiiivw5JNPer9NTEx0XZ7G5tMcukslV62wxh03uitQGffclhzzceZVhpYxNRHSUJOF3Mmjkum+h1CFs7iTMHOcw2BQK3DaFTBhz4tFrsGWEhUhULIkZssClpTQOWALDhvSS9sobQvCsiEtG1ybgywrkW3oOZgaQ05T4tqy1faWlCgLGxWh8p2zoRHwSgmipIPpOTDTSdPIOMDU+cobBpYuXYpyfgHMvIHDdI6Czj0PvuS6yr9eK5Tdzq7WKDdN/zQvihsJ8ma2sS5spFFMdxNR3i4/eLull+fb0OQloa5AvzGubgfQWVy5V5TXpnpRnnSaLFr5kwhKmDbfcEIGGeBNFAecP1hj+8QcG1/tOGj8Yt1q4TK/KaolTp3eMuVikzamRfBV1R+Cl9ylbnXPlqGLNX832Lir3O01bcrkZM9agoYhkse8jkwI8xtuuAEPPvggHnzwQaxatarqt3YT8xrB4OQj1+bDItR0e98iD1xToShVYSxubLladMf1lAqJeY+Lk+WEGSYkd+LUnWUblJhXw5mmpjKrMKvkfCrK0w4BiRzAdVi2WgyoaKl0h5Z0cpGbEpYN5Jw2AuptVVg27HIZvFwCtyowTJVeMadryBkahJAwNO4JTSElpGaAmUNghTI0Q3nL+fAohJEDNAOapmPZkiWYWLYURaFye3Pnxcbg7pHBWyxDZSHxq0Pe1CNce038E2wb/a5+mxegLTuJhr1KzcRP1IvydndToxeEtm1p1oaqv+dFuUtoorzLyUihQXnMiYCEafPVxM0aEcbqF7t37YI/PWGz2OKqyZptnpta4Run4O3UKx2pwOsyzr1pMUHPWw/1t62zQ9saZpx9q7YlStB0iWTv60h08menbNy4EVLKhp8gMDgreDLuTerxP2yMu15r7t39DErBu152f3YWZyflMTdzvgmchgpLAXPndzopD51c6oyphYEqRZWHvDQH2BaYsNVLApRgLAuVWaXkCPSSJVGRamlo1zPPXM+1kJCVMmCXVFpFTa18N2JoGMnrGDLd5amd7ZkGqatFgdjIOPjoAojcCIzRRTjsiKNw6jIDxy0bwWjewIjBMWJqKHjpx9i8x1xCxcY7MeXepyp+s1581l4XVvN//3fNFnKoLqTBLd1o4ifmRbmL+99mYSyNFu9p1BZW60Hzf9BelHcSwlJrk1MnygGa/EkEJkybz5jv49tf+mxCo5CUMIWPvw1Royansp5CRRrRUAS3iycPQZQ3O29NRXkDm9tJ/XVe8S5fBOpWVG12b/n7nwhEeVKjGlKIYB8KZakjEx7zsOFMPRScw6f82o83cigxz5lUIS3zuh0STHnKndVClbc8B8kNWNLJqCLnw2A0RzSzuQqYXYaYmwXsCqQQYEZBTcCEEomWUN7yoiWgMxtFy0bF0iBNNUGUmQVwXYPgDIwzSCnAbAtcVJDXlJgu5nXoFRVvrjLC+MS5bgJS5U83R8YwsWQhxp94EGbJhBhZAikFuF1BXjdQcY5DnRrfiIODZGolO9R85/2/EwdH1bXyhYrUubg6y1teO3zYrRBulfmkW3oV5Y3OTc+inCCIhiKuKiqu5pEPNcVhCIQtxP20Hp3s/KW+05CapIRnV/V2khayqoDmv2VdlAMI7jGnfqqOgRTmADxvr4ovr8HLhzg/GYg5YSy6xpB39nAXCtI4ABsAuBLkAKShFgcSRh7FikBZqLy4EvMhMRrgpDucgZybdpa0Lyuve2UEujnihc7YEihaAowxzFRslGyBCtfBc0PgI+OQxUMw+LRqq6aDCRvMLiOvD2E8py5z0dLBGTBi6Bg2OXKakxGGaRgu5DFR4FgwVgAzAbn2RAizAKk7k6mEDc44TE2D3eA5ElLOL5iE6smQ3eSGraUT0dkstq+TVFSNQli6znrSQVsatadTUd7oDLXNU56kp9xrggg0GYjy2hJhwqSsfz788eEdhKI0w32Gqz3xXXqEexRTiQnyLggjpCaMtgSeABvShNfaNoQZupKml0SiNwZWmPth/ghnxpz4ciWCXTHlOtY5gzdxVOPzGVqYf3/GAW5AaiYsIWE7OchtV4BBOtVJ9YZZKUGU5gDLAoSALM4BQ2XocMS/Nr+4hZQSZVulTyxbgGkUoA2PQs6NwnZWWnQnoELY0HU1+WnE1JHXVXx4TlNe85zGMGrqmFh7MsZ1AWYVAWFBMK7SHGrmfFYVbxVLNeGz1WRJ1c4erkftkGIXorPdks9Aa1HesD3Ov0EX7Qlj+WeXRiMIaRTlAIKHpVAoCxEXIT0DsQu+iAmzXWG8OCR5ngLnKq+hm8mmdcVlQZTT5M/QyESMeZQ0jCNz3eNcq3qYOPwLTahJRdwR52ppZiflobvYBNdgCaAiJSrOJM6yLWALwFYzRlXBUgKWBWk5qQ/Lc2BWGcyuwHBCTwyNe+JcregpVFiJsxARK4yCF0bBh0ZUfLvj7ecMMLhazKigcwwZDEMmx/JFC2FOHIklx5yC0QWL1Cqd5jBEbhTSGILU1RLVcOPta1IhMtZ6MYqg16LWQ17nJa95iF0PddNYvpoJp93GcbcV5W285a1Eebd0tDR2WkQ5AC+vbbcfScKc6H+S9AA3o+HoQkDCinOP22vfMbUx7AHi2juqJguiHIC0hZeJq6tPRCOkO3fuxKZNm3DkkUeiUCjgqKOOwmWXXYZyuVy13d13340XvOAFyOfzWL16NT75yU9G0p5uGEiPuZBOGEntD4x7gtpb8Mf9zvkTDODSzUuuQlmYG1vlf1t0JoMKS4WwlG2Bsi0BSOicqbhzqDK8J8+yVIaTclmt3mkVYWqjKBiaigvX50NrhBu3bhqQeh58eHQ+xsvIQWo6wDUVF88lpGTgnGNodAzF/AIYi8ax0OTQmLMQkOZ62a2a89Eg7tLJWuCPCXTb1AkNV8lsFrICNBSbfhHc0EveyDgGiOMGQvKUN/q9w3PXagW+1Ez0bACFshBZJMrQEJe0iCk/afOSA8mL8qBZX9rV23ESr4yIcgCO/khPHvP7778fQgh84QtfwNFHH417770XF154IQ4dOoQrrrgCgFqE7KyzzsKZZ56Jz3/+87jnnnvw1re+FQsWLMDb3va2SNrVCQMpzFviCHHm5TCvfjI4GMCk8pYzqJVDbUt93OVluXtzquSHQgBlS6Bsqe+LHCjoHLaA45XW5lcrsoXynJeU19zMASZnGDI05HUbUs7nLxeQsABwIwdpFcBHAGlbYLoBoechuQEbKnxlweLFGFm4BGYuB405y007ITKSqYmrUupgrmfcdz78ApP5U0qGdcq7EJqd5IrtJKa84W41f7cNG2nhLW81E78R7oImzer3t2G+zpRP9KR0iQRRR9JisxFpa1OqBGdAehHlmRLkLimz92effTbOPvts7++1a9dix44duPrqqz1h/rWvfQ3lchlf/vKXYZomjj/+eNx555248sorSZinBel4rxk4wIRvkZ3qtHpwnNxuSAsTFUBUVKpDaQGCQ0oBOLHkEirIpSyE0u2cqRSIQqKgmWC5vLMYkSPmhHBSHpahQ8LUGEYMHTO6DQEJU1ehIxLOQ64ZTmYVAeg5CM2ANHJgRg4TS5di+bLlKEND2VbpxpgTH2847VfHzh1xzutFnjtqUCXQZSAj3Iv3t22oiNtW77f2cdxAwFjuAKK8apsGbWoVDtTtiELjQgY+co0gEiOVYgrpE+VhE3e7WtXXt6IcAKQNGTDGXAiBqampqq+breTbC5OTk1i0aJH397Zt2/DCF74Qpml6323YsAGf+MQncODAASxcuDDU+juFeuoGKGHlesu5yvUtqx8qdyKoii9XYSxMVFRmFdsChONB9+LCVUiL5UzeLFkCli2VgDbzYLkCYOZUknNAlWdXwK0SchpHwWAYyWkY0jXkdZWLXIN6YZBMAzQT0shDGkPQCmNYuWQhnrl6IY5YMoacoSOvMxR0hpyu4s0NPh8vrw6IVwvwqg+rOTe+8+AzIqEtOd0gjrwjT7m/iB7aUpUvPURRHnRRjcyKcspjTgwYbox2o0+YpM0znUbvfdy0i6lv6yBiGRblgFpDJWAe8507d2J8fLzqs2XLllDb9+CDD+Kzn/0s/u7v/s77bs+ePVi+fHnVdu7fe/bsCbX+biBhXot/ERhnkSHJGCSkCkupyeHBpHRSE1qQlZLKqGKXAbsCJiyVTtE3adO2Bcq2QNFSMedSz0MYBbD8MLiZB9Nz82EtQgB2BYYG5DSOEUPHSE7DiKnB0ByPPYfy6HMNen4Eqw5biZNXL8LKxePguSG4kzY1xmBoarVOg6tsL4yxmhzkfnHOapRp77dKx97yqvPbRQaWNm1sn6+c1cWT17UtQEaYoLQMXWnTluodk3nMA00Ecj5RkOXJQEQ89DRJL8WiqRGDIMrjup69Tu7sRJCn/f6SQjgTQLv7QEgcccQRmJycrPpceumlDeu55JJLlHZp8bn//vur9tm1axfOPvtsnHfeebjwwgvjOB09MbChLJ4Aa/SjGwLheI+FlBBSCWs3HEr6tY4UgJSQlgVYZYgSB9PzkFYJei4Pzcl3zhlQBsCERNlSWVUEN8D1PHhhCLI87GRB0bwc6kzY0LkS1QWDQUgNnAM5zpXXGww508CKpeNYvGihyksOFbsudZXukEkBxjVoYFWvYo2OvdFS1f7fOjmvjQRw6BMYa2nime7UljXLeNKqbUEmoHZKW1HecUEJvnuLgJOBIoo5zPJkICJ6siLK+zrTScaIMtuKt13KBbmLJ7S73U9IcM4xNjbW0fbvf//7sXHjxpbbrF271vv/7t27ccYZZ+B5z3serrnmmqrtJiYmsHfv3qrv3L8nJiY6ak8UDKwwB+aFKWNuuET1YjFuqj0h4eQhl3B/FepFz7fAhIB0vOYMAMsVwawK9IIS5abO1aJGUDeiJSXKlkTJltDMAqQ5BD5U9tIcMsP0nlwmBXTOkNM4BKQ3eXN8pIBVKyaQHx3HEBeAVYIUljoGN/+4eyhOlhkN1cK5SjA73nXJePsQjRa4ZQopuwtv6UKUB/FO1740dJUdpltPed3qo/UvJrX2ttGpamqU252rNMSTpyyPeZYnAxHRkhVRniaiSNUYJlG/NHS9kFSXzcnafSWlDJaFq0tn3NKlS7F06dKOtt21axfOOOMMnHrqqdi6dSs4r+4X169fjw9+8IOoVCowDLU45A033IBjjz02sfhygEJZwJ3lheCIcuYGk7sPBePOYjqALYCKJVFxUiDawpnZ6U3atCGtCmSlBFEqAnYJ3CrDcGO7OYemcTCuBKIlBSpSqpzhxhBYfgRsaAQsP6Rizp086kwKaEwtFJTTOBaNj2LNkWuxZM3ToA2PQ9c4JNeVl1wzVbw5153FgVidcGyUe9wzMr5QHv/Ho8my1Q3PbZMfOglhaUUvcdyt8q4HmYjaS/hKo4ih6jqiFeVuTGRUHZgUduBPXHQ6GWjHjh04cOBAbO0i4iNLojxN3vI00+t5anWOorSZbt2ZvEYBwljcUJYo2LVrF04//XQcfvjhuOKKK/Dkk09iz549VbHj559/PkzTxKZNm/D73/8e3/rWt/CZz3wG73vf+yJpU6cMrMecMTV50/0XbqpDYavMKuDem5yQgA0lxouWKxo0GJrj8dZNL2+4tNXqndAOQSsMA+VDGCosQElnGMur010WygMOAJYtUdE1mLkhCAiVplFKCE0H9Dyg5yCZBgZg4fgYFi1djuGREZUVhqmYcQbHEHGV7lDWeP29/7q52R1q/my4TzOCTmSs+rsD49NW+LYQ5UFyxYYST97GW95Rm7oV5V28IGRl+DnqWfruZCDXWw6oCT9HHnlk1Xb+yUBJelGIYEQhpJIQTv0sytOYQz2ucl3Sem2yyg033IAHH3wQDz74IFatWlX1m3TO9fj4OK6//nps3rwZp556KpYsWYIPfehDiY+ODrbHnClRyxjA3KSGUgK2BUi7KrRFOvHllpQoC4mysFGxpfJ4ayakZoAZ5rwwdsJaYJehQSKnceR196OyqnDGvHIlN3yZVXKArv6VmoHRBQtx0tFr8PRjn4YlC0aR0xhMrkS5StlYq3ibr0BWtVnNblFNYOlkckuwSnu7fWvbFYphjFKUN6uvSw95T/V1QaAZ+r5FiVavXt3RLP1BmAxEDCZhjmqlVfymTZDWticrHvKo29m2fiEDecxlRB7zjRs3qvCaBh8/J510En7xi1+gWCzisccew8UXXxxJe7phYD3mfhgD3FUzmbSU11tKQLPBhO3l+haQsGwVHw5w5HX1tzAMcK6EOTQDsEoAAGlZYFYZ3CrB4HnkdIaRnO553U2NzwtDziE1fX7ipW5g8aKFWDGSg7lgAaQxBMFV2E1NSnXfH1xF1rSYlNgu//h8zHzrobxmxDahpQcB3FHYSJBJqL2+KHSU5Lb7Olperwg7RddQB9kPAB599NGqCUHNvOWDMBmISA+RvchGLP4GgbBDWLJwTdIyAipsGyJARi1a6bmegRTm3sI8bhg54GRWcTzdlgXGBZhegRSiyrPqinPOVNrDiuCwhIRm5CD1PJiuA9K5Od2VsOwKjFwehsVgaRKMqQmeOnPTFjoN4zoY51gyPoqJhaMwCsNq4SBNTQRlvsmU/omVavLq/EMeRtq+1BqkRov1tIhlr8o938yjH5Eo7+plIYKOM2mDHXiWvrPP2NhYRzP1B2EyENGfxPGMpnlSZVq8+HG/uPSbKAd6mfw5GC+N3TCwwlylQKzJlCGl8pbbFqTtZEYRFXAGaGBwEwkKSFgCKNtqAmjFBkzNhNQNNWkTUGkPnU6fCRsalIdcSIA7bwQaV3HiupMtZenKw7BsyRIYTHjZUcDUxE6vjU6TOVg04SER09IgsQarjrrfN6GdYWp3jsL23LskKco7rTvqzsgfltLtflHgTgZas2aNNxnIxfWGn3/++fjIRz6CTZs24eKLL8a9996Lz3zmM/jUpz4VSZuIbJEWIdkpgyDKo5zoGTZZu3+6IqAjJqr0uFlmMIW5F9fteM+9H5y8y7aTC7xSBjMr0KAmiOoag845OKSKNxcSlgQqQkKaKi6cFYa9epjuE9TShs41GNq8oNY5w0jewMjCJViydClGcjo0CCflYY2r1xGAbihKV7HRKUid17FBinESY8M2deMtD0GUh0nSHvq0k+XJQER/MegTCdMgytu1IY0vIUAKBbmDu8BQ9/ul+15NgoEU5rZQqQoNaLClrMveId0MLZUyuG2B2RUYmg7NCT3h3F07RXnMbSFhg4HrJphRUH51YYMZOQhNn4/bZvMCP2cYWLJ8OQqjCzFk6jA0Nf3Uy2PeIo94IK9zAkQav5y0lyQkUR7WpJ+46+yEXkNZwmbjxo1tY9GB+clABJE10mxzXZKweVG0IYl60irKAWdOEYWyhMJACnMBCSGVoJZgsAWqF+QR8/HmkDaYqEDjBnSuFvYxOYfFJDhnysEOCVsAuhvOAiWspaaryaBcU8JaAkOFPBYsWYaR8YVgjMHgTC085DxvKoUhR2i3asze8sjDI5LOTtBDWE2o7QhYZ5ykTZgTRBqI6plNuyhPi72LQ5QnNWcoyZESIQREYI95evuxJBhMYS5VjLglVG5ytYKnBsk1MCc2XJYtQLOdlIcVGAZgcIa8rqFsS3AhPe85ANgSgKYDWm4+PEYz1OJBWg6F4VEcvmwZlixcgKItYTuLFnEGaAwqrZvTPskYmJvJMoHsIEHIgiAHemhnm3Mat0AOWl+sS4cHnaUfYB+CGGT6XZQnbv8TLj/NDhgPO2gWLgFAC789GWZghTmTEpYQEILDhnQma2pgmg7GNTUzU8WrgNkWNKiVNw0byOscZUtA1xg07hfUmvKYOw+R1HSMLFyCFYvGMFbIQeYNCClgaiqExh9axZs9dymID29H2jsFl0Dt7BNBDsTvTZEy4OTPlIRiEUQWSLv9TYMoz6ogB9Izmb8dQWPMo1r5M8sMpDAH1IqbOmMQAGxbQhg6ONcdr7cOWBXlORfCCWexoHMdusaQl1x5yxmDzlRmFe/R4RokgPEFC7ByvICRnA5hGJCaAck4mBRgXIMGBgYJ/yCOf6Eg6aRHHFQS8xDENPm022ublZhKPxTKQhDVZMLz6ZC0zcmClzwNgpzoPwZSmHPGYEOt4qkmgqqQFk03VS7ymswqUgowYcHQdeQFByBgCJUZxXDizg0N4BBYsGQCK5YsQMHQwKSAzbgS+r4YdiZsgGvQGKubeOp/FrMgzrOSfzuLs+Kz0DERRNpptLJi0GcrbTY5jfY3LYIcCN6Wtml4UybI03BPBk6Pm4K2p42BFebSiR0RQo2kWAIwuQGpm+C6AeTyKoxF01W8uBTQoCZpGoxBasrTbWgMeZ1j8ZIlGFqwBMvHh8Ctksrs4l+Bk+tVqrtR2sNGdLISZz8xKKK8VQeflCAP+9yTx5xIK+6zQV7JakiUt25DGudSpUUbBF3pmUJZ6hlIYa5xBsnmQ0ekVHHnrmdbaiaY6fzANIA53m4n3aHmpFAxOMfYoqUYWrAYYwUTBYNDSiXCGQApfWERDR44V5x3gqwR9b3QTb3tygmTNHeSUbct7PLTYKwDp88iQ03ERBCBnjaveVogUd4bae7/OiGwI4YWGKpjIIW5zlidUBYABNfBNAPQTfWllADXAE2HZBrgZFExNR3ji5ZidNFimLoOnTMY3Jfwx1mtk0kx7zV3wlhkTQxzEJEcpkjvd9KSoivOcoMccxRtEXaw9FlB9iGIXujWDvejOE9yYnnSojzJ0JVO6m9GL+0KfYRUCggKZQmFgRTmGge4rgSyrvluTgmVd1wznfAVCTjhLVLTwXUda5Yvx+jCxRBQE0c5VKpDjSlPvJASjKt0h7XZOWtFuUsvHuxBC3XphjSL8qhIiygHKJSFyBZxiPOwRivDJo1tCkLS4XvdkqUsW+2QgdMlpus40sBACnOdM3BdhZ1oDF4ucgEJzjSVNhHKay41A+bQGCbGC1i8bDlkbgQWOGypVhAFlBedMQbOqjOroIuFgno12N0K9F7r6/cwlrS1pxPSZqgJImuQ57x70uIt76Yd3dSZxtzkaTnnVWUKO9AaFBTKUs9ACnPDnXTpCGmdMWhg4HBCXJzUhoVCASuWLMKCkQJg5FVYixTQNA0QElxj3rwFzmq9447BZrzjRYLC8KZ0I9D7eQJUmob44iCq7AO9QB5zYhCI2ylSW3caRVrcdUclyqOiH855XbkB5xTVpaYjBlOYc415Ezg1MCcnOeDM2MTw8DAmli7CgryhvN5O3Lnk6nQxKcGZClvROrnHu8iNHZbR7sZgd1tn2r3lJMo7I/IJrbTAEJFBgtrgpJwiQeccJZ0AIG5RnhbbnmTmm0gdMQEXGJJCVns1icEU5hoYDOcG1bgS5oYGLBguYPnKp2G0YILZFUhhqR2cyZxV6Q4ZlIcdKqMLb3DDJz3M2a04r923k+16JelJP37SYri7Ic3D6OQxJwaRKOxuN3VngThfCtJ0TvpVlAMAAqdLFIAWfnOyTPrXe6+hVCrhlFNOAWMMd955Z6Ay3JSHhqZE+dLFC7F67TGYWHss8sMjkJqpVurU887/zYZZVdz7vJEo74U05N12F+Wo/YQJifLeSLWRxrwwD/IhCJcwbH63hGFPguakjtLmhklSI3Wdnpeg16C2rrDoa1GO+SxcXX9SfI8nReaE+Qc+8AGsXLmypzI4Uyt2LluyBKuPPhaLV67B0NCQN5oiGVMecq4mgsJNr+gX5c7NVJt5sfb+T4PgS0Mb/IRhMF167bzCbEucpN1IA4AQIvCHIFzCsPlZJo0CPQlRHqcgD5OkXxDSdC6IzshUKMt1112H66+/Ht/97ndx3XXXBS5nydKlWHPEkdAMlXmFM3jpDj3cjCqMg0nRMNWhPxYx7Hs/7LRaSYTVRGkQBjEVIpDu0BWCCJuwbH5ShGl3k0q1GFb7u2171lIfNqJf4vg7qksEm1NEK3/WkxlhvnfvXlx44YX4/ve/j6GhoZ7KOnLVShQKOQipktu7qQ4Z6tMdooko74akY83jIg4jkFQnkTRZPG6KMSd6IUybH4QkJuK3I05xnkQYR5omsqchPDIrohxwsrJQHvNQyIQwl1Ji48aNePvb347TTjsNO3fu7Gi/UqmEUqnk/T01NeX9X2MMDD6Pd22dzdIdBhTp/bQYRS1Z6yiycE79ZPW4lTAPkNeWhPnAE8Tmt7L3RHeE7Uhq1ZelQQCHTdJtSqR+ISHtAAvcDYDTslsSjTG/5JJLwBhr+bn//vvx2c9+FtPT07j00ku7Kn/Lli0YHx/3PqtXr/Z+Y04OczdLItBiEifj85/anzKUPzWSRQVIlEdKlo/bHdoM8iH6kyhtfit7T3ROVKO7cSQUCIs0eKrTem6aEXTyJ3nM62EywdeVJ598Evv372+5zdq1a/G6170OP/zhD8F8N7xt29A0DRdccAG++tWvNty3kQdl9erV2LtnD0bHxxvmta+KZIkoHVOSsXNpzqzSjCyL06AkMYw8NTWFieXLMTk5ibGxscD1TU1NYXx8HHdc+BqMmkbX+0+XK3jWF7/fczuI9BGlzW9l74PeR2m1vVHZsqyJwbSFsKRBlMdt7wFgyZIl+PfTjsXTF453ve8P/vQYbh1dhhtvvLGnNvQTiYayLF26FEuXLm273VVXXYV//dd/9f7evXs3NmzYgG9961tYt25d0/1yuRxyuVzT3937130G4tJt3Ya1ZCWkJc3Q+UuAoKkPKZSlb4nS5rez90Eg25te0nZdsiTKo0DagAgQykLpEuvJRIz54YcfXvX3yMgIAOCoo47CqlWrApXZSUaVTgV0EOOdlDgflImoftJmwFuRxRENggibKGx+0mR1Emga6dcRg6yKciD4yp+UlaWeTAjzfiXrnvMshbGETZhLateWGRZJ3ytuDGGQ/QgiLaTN7hLhk4YJqFkW5QAg7YCTP8nc15FJYX7EEUcM7EzeMDqJQfKaRy2cw+q0+02UA8Hz2tLkT6KWXmx+WM9n2kYso3hhyELfEPYxp/1425EGWw8AQshAoSw0+bOeTArzNBLUSAZNo+juSzQnDsGcpiWfXdJyX1AecyIt+J+JrAsxP4MmztMoypN0zKTF1hPhQsI8w/Qi0MMwvnEM8QZtZxoFcxx1pMlQBx7aDLAPQXRKUJEelkMkbOEbhaPGm3+VUoEeBmkR5VmqtyU2LTAUFiTM29CNEY3Ta15br1tOt/X69+8HghqsOM9BVHVl4WWEINJEEJEehhCOwisdpUBvVlecpCHriZ+k2pNKUQ6VXUUEENmDGpbcioEV5mm7ucPyYLtldVu3f/9u60zLuQzSjrg7mEES5UIEnPxJMeZEAsQ9GT+qkBF/mVHZ5ridOmmbx5N1UR7F4k7BJ3+SMK9lYIV5P9OL595fRjf1NSojLqJe4CksBkmUA8rgBjG6ZKiJpOgXce4StW2OIx49baI8KdI2YlCLmvxJoSxhQMI8ZHox1GmasR+GSG9WXq9lBSk3ScMcZd1pGa1ohLABwQMsOGFH0BiCiIi0i3OXqJIGRNn+NDodsuB8akak95mgdIlhQcK8A7KabzzMFF9ueb20JWw6ObZ+FeRhEelLgy0gOWVlIfqftNj8ThiETC5pfVHw02kbMyHKETyUhRYYqoeEecqIYsZ+WA/2oBjfXslK3GUshjqAx5yyshBJkoSdi7vOtL9I9NK2LIjyOOuM674KOqeIQlnqIWEeEWkyfP0sztNEnOcl7aKcIAaNrIS0REVY7U9jZq209OXdEmufJIKJbMrKUg8J8w4JuhBQUjnGw2oL0Zospg2LzYNiy4Ax5mSoiWxC4ry39g+KKA9z/lQvdYSJpJU/Q4OEecSQICbCImv3EcWYE1klSYEcVyrCqPqmbs9dmgVo1myuSyIOo6ArPZMwr4OEeUpJs9c8616dLJKVCUB+gi44IejeIjIM2dnWLxdJTKBME3GlxySyCwnzLghqKNMU0kJkjyyKcgBqiWYWoE4KZSFCJMs2NGrvedQjulGWnYX86X6iDIVNwz0ug6ZLTL7pqWNghXncYjmJVTmbtWPQvTlZIeueJWELCBZg5U8KZSFCJojd68XGhS14oxToWQy3zFr4Si/3EVDfpjT2vdIONj+IQlnqGVhhnjXStPgQET10fQgiXPrB7kUl0LN0brIkysPss9OOlAJSBHCqkDCvY6CFeRIhJr2uDOqWkQYGwWuehKcirZ1Dt8iAoSyUx5zoB6IUu1H0BVkS51HQL3Y3KYQdLCsLzSmqhyfdgEGk1wdWMpaamez9asibneOoj7efOgd3JbggH4KIgrifhzjioLMe8pYG+snuJoUbY961rY/BY14qlXDKKaeAMYY777yz6re7774bL3jBC5DP57F69Wp88pOfjLw97Rh4YZ7UA5TkQgxhtiGMdqQFt5NrdzxRe8H6BWGLwB+CSANZWXkxbHHuftJGFG0iUR4SQnopE7v6xCDMP/CBD2DlypV1309NTeGss87CmjVrsH37dlx++eX48Ic/jGuuuSbyNrVioENZeiEtYRx+oxJnxphm7UjDOemUNAnhNE04CgspJa0ER6SOJEI24qiz176gEa3KSZP9DAIJ8nAJGsoiI/bDXHfddbj++uvx3e9+F9ddd13Vb1/72tdQLpfx5S9/GaZp4vjjj8edd96JK6+8Em9729uibVgLBt5jDgR/oNLisXYJOqwZZjv8Xuc0Ge7advXatrBeZqI6T4PeSRBEK5LwCMdZZxy2N61e9XZEYXOzeh5CLS9gKEuUHvO9e/fiwgsvxLXXXouhoaG637dt24YXvvCFME3T+27Dhg3YsWMHDhw4EFm72kEec4deJoK6+8dZbyuCePOjXAWumzYkUW8vdQRpc9RtS+pFsxZhSwgEmAxEMeZETARNY9trnWm2T90S1zlMQ/hnLSTIfeVKGWgip5QSQghMTU1VfZ/L5ZDL5Xpqz8aNG/H2t78dp512Gnbu3Fm3zZ49e3DkkUdWfbd8+XLvt4ULFwauvxfIY+6jFw9ALzd7WuLmkvaANPJqd3IcYXvDoyKOtqVFlAPu5M8AMYckzImY8cdV136irC9q4n7hSCNR9QtpPd5GxNE32lIG+ggAO3fuxPj4eNVny5YtDeu55JJLwBhr+bn//vvx2c9+FtPT07j00ksjO+aoII95A5JKo+iWERa9LIaUJnGbprbU0m7EZJA7RmlLyAAecxLmxKAQV+x52mxDt6RpZDJL5zLNfaefI444oi5bSjNv+fvf/35s3LixZXlr167FzTffjG3bttWVc9ppp+GCCy7AV7/6VUxMTGDv3r1Vv7t/T0xMdHcQIULCvAn9EtrSL+I87SR9rnrpLKJqO4WyEGnA7ylMo6jqJ3EexbF00+60jkjGTRL9kZBAENMtJMA5x9jYWEfbL126FEuXLm273VVXXYV//dd/9f7evXs3NmzYgG9961tYt24dAGD9+vX44Ac/iEqlAsMwAAA33HADjj322MTCWAAS5i1JajGgNIlzd38ivaRRlAOAFCLYy22Q1eMIogPSLND7hTD7r06uU1wTXdNO0v20LVU4S7cEcd50wuGHH17198jICADgqKOOwqpVqwAA559/Pj7ykY9g06ZNuPjii3HvvffiM5/5DD71qU9F0qZOIWFOEARBEARBBEYguMc8KcbHx3H99ddj8+bNOPXUU7FkyRJ86EMfSjRVIkDCvC29vv0H9dCkyVtNYS3pJc2eHAplIYjO6KdwFqD34+m0nYPqLU9jf+xO5uyWuNatOOKIIxrWddJJJ+EXv/hFLG3oFBLmHRCG0Uw6nKRXo5ymFwUinanD6soXASd/JulCIQaCNE6I7DcHSLfH0+316DdRnvVrHzjGPPymZB5Kl9ghYaS3SjqlYhgPfto6s0EkM9cgUKpEAdjRm+pSqYRTTjkFjLG6bAB33303XvCCFyCfz2P16tX45Cc/GXl7iPhJoxCKOo1iEiue+o8prLSU/SDKs5DitxtE0HSJGenO4oSEeZckLc6TrL+2HZkRiH1C1s65u0RzkE/UfOADH8DKlSvrvp+amsJZZ52FNWvWYPv27bj88svx4Q9/GNdcc03kbSIIl34S5y5ZsV1R2tl+EuK12DLYh4R5PQMZytLrQxFG3HmvYSVJ1l/bltqyiXBJywJUXddhy0Dxg1GHslx33XW4/vrr8d3vfhfXXXdd1W9f+9rXUC6X8eUvfxmmaeL444/HnXfeiSuvvDLxCUHEYBFl+CBlp2lMVm1tGgg8+TP0lmSfgfWYhyHOk66/1zR5URiMuFbOi5JWw61xHldWz19YTE1NVX1KpVLPZe7duxcXXnghrr32WgwNDdX9vm3bNrzwhS+EaZredxs2bMCOHTtw4MCBnusn0kUWRFOUNqffwil6IezzO2jnNPDKnwPcxzUjU8L8xz/+MdatW4dCoYCFCxfiNa95TdJNIgiiCcIxukE+ALB69eqOlmjuFCklNm7ciLe//e047bTTGm6zZ88eLF++vOo79+89e/b0VD/RHWTvCYIYRDITyvLd734XF154IT72sY/hxS9+MSzLwr333ttTmf0QUtLrcGcc2QnSsFx9M5K8/q3K7QeCps9y93n00UerVoNrtkTzJZdcgk984hMty/zDH/6A66+/HtPT07j00ku7bhMRL1HY+36glW0Iwxa1K6NfbJOfMI8pDX1aUlBWlvDIhDC3LAvvfve7cfnll2PTpk3e9894xjN6LrsfxLnbDre8IG3wlxEXcQv2KI4vrDjQNHR4YbfBDmio3X3GxsY6Wqb5/e9/PzZu3Nhym7Vr1+Lmm2/Gtm3b6gT+aaedhgsuuABf/epXMTExgb1791b97v49MTHR+UEQgYnS3jcijakTg9DoGMK2pY3Ky+q5G2RBHkVoVFBHDE3+rCcTwvyOO+7Arl27wDnHM5/5TOzZswennHIKLr/8cpxwwgk9l98v4txti1tmku3ohV4FexLHEHXO3jCJq3Pt1WPeKUuXLsXSpUvbbnfVVVfhX//1X72/d+/ejQ0bNuBb3/oW1q1bBwBYv349PvjBD6JSqcAwDADADTfcgGOPPRYLFy7sql1EMKK2943oxTmR5omUcS1c5NaVBcJqZ9bEOBDtNQrqMc/IbRMrmYgx/9Of/gQA+PCHP4x/+qd/wo9+9CMsXLgQp59+Op566qmm+5VKpboJZM1I2uMZ9kMetD1pnrCSlkmZnbavVbuJ+Dn88MNxwgkneJ9jjjkGAHDUUUdh1apVAIDzzz8fpmli06ZN+P3vf49vfetb+MxnPoP3ve99STZ9oIjD3jejE/vXbMJkmm1nHKT92MOyvVm8znH0OyorS4DJnwEWoet3EhXml1xyCRhjLT/3338/hFBRSB/84Adx7rnn4tRTT8XWrVvBGMO3v/3tpuVv2bKlavLY6tWrW7YnDeI8zAe+l4cxa4YnjaRNhDe7v6JqY9C8tjGkMW/K+Pg4rr/+ejz88MM49dRT8f73vx8f+tCHKFViCKTN3reiVnx3k7kkbbYzThuUtmMHSJDHdf0pj3l4JBrK0mls6OOPPw6gOsYwl8th7dq1eOSRR5rue+mll1Z5uqampjoS50lPCAw7pCRom9IS2kL0TqvrH9V1dleCC7JfHBxxxBEN86yfdNJJ+MUvfhFLGwaJNNr7qBhk2xlXQoFWNi2K1IdZIol7L+32PkskKsw7jQ099dRTkcvlsGPHDvzFX/wFAKBSqWDnzp1Ys2ZN0/1yuVzTTA6tCEOcu+UEJey4vaBtGuQOph9IskOxEXDyZ+gtIdJAWu19VJDtjBa/OI/qPGdFkKfhPhMIlmEl+Zanj0xM/hwbG8Pb3/52XHbZZVi9ejXWrFmDyy+/HABw3nnnJdw6giAaYUsJO4DZDeJ1IfoHsvcEkT0Ce8wjaEvWyYQwB4DLL78cuq7jr//6rzE3N4d169bh5ptvjixTQlg5xsMIa3HLCoMgbcrarPtBJ2jYUtjeIVsG834nGWNOpIO47X1UDKrXPK7jHsRzC6TzuIPOD6IY83oyI8wNw8AVV1yBK664IrY607AAkL8t/vJ6bRPFnPcfWRl2JYh2hGnvk7ZZabCbcaRN7DeSOl9J3ytBEQjqMc/m8UZJZoR5UoS5AFCYK7Ml9cJA3vP0kdYOlzzmRFoIy0ESlDSI87jJ8jFHfZ9k9bwQ8UDCPEbC7BzCFOi9rBbaS71EcNIqxv1QjDmRNpL0HGdZqAal12Nudq2iPI9pWVMkawR1xFAoSz0kzDsgDXHezUhTuE039NPSznGRBTHuR5ChJlJI0uK8GUmnGIwKf529rurs3z6t/UVa2xU1IqAjhtIl1kPCvAvCNAZhe8/TFG4TlE4MeJx0ci6ibmfWxLgf8pgTaSVpW9eItNm/KEjbOa8lSPv69Vp1S1BHDJ29ekiYEwQRCRRjThAEMRgoex/EYw6k+3UtfkiYd0law1rC9Jq75SVJ3JNMgx5vFF6upM89QQwCafSau0Rl/9J8zN2SVDgLecgbY0MGXlCOhGg1dD4Ckob0hbWksU29EnYHFeUxBW1rGs5zFAT1oJDHnIiLtNi5ZkTx4h+msEz63FG+9HRg7J/BI8hjKbpfeffPmMXwTb+OoFXZhSfdgCRIo2FiUqZOfIbZpl5xF8Bpd2z+7Rp94m5rJ59+xV1wIsiHIOIiTXauFWm0F1k4b0Fx74t+PcYw76Xv/O9NuAtTmO0yePFxFLELRdy054HQ2tIPDKQwB8IX52GK4TAI86FLm2EaRJGbRWxnieYgH4KIm7TZuWaQrasm7L6un8U4EM398/znPx+HIY/f4mDn7YDE7TiAkzGG5cuXh9qerDOwwhwI31OSNk91Gl8YiMFBAhABPnSnEUmRJVFG4nweOhedEeV5+tmOO/FHHMIBVDra/k+YxQxs3DqzK7I2ZZWBFuYuaRTnQLje8zC8ylnpsAiCIHohCwI9De1LkyBOU1vSSNTn55hjjsFxGMGvcKDttjYkfo2DuOr/9wUMDw9H2q4sQsKcIIhIoFAWgiCIweGWJx7CbhSxG8WW292HaWhg2LhxYzwNyxgkzCMgjV5zP91OTqQYbiIINPmTyDpp9ZynoU1p7A/S2KZa+rkvXbp0KU7BOG7HAcgmQYklCGzHJP7zx9+HpmkxtzAbULrEiAh7ldA0PcjtjiuOuPY0nQ+iMbTyJ0Eo0rI+RNLE1Xf0QqM2dNOXd3oMca/VEZeOuPXQLiwbHsNDmMXRqA9TuROTWAwTL3vZyyJvS1YhjznSYQzakSbPTbs3fv/M9l7a3aqesOqIikbti7LNaTt+gDzmBFH7nIdlC8IYxYx7NLSTY4y63whKJyPISXnCuxntjqPPHBoawme//EX8GgfqHDPTsHAvpvHD7f8HlgHdlRQDKczTGJ6RxVCSbtrXS0fU6bmIWvx2Q6fXK8yXmGblJXU+KMacSANhTXzvVUC3qz/o8xq0v+jVLkR5Lpq1sZd+o1O6qTPMF6SoiVNL/M3f/A0McPwe01Xf/wYHcSSG8KxnPSvS+rMOhbJESNqEdBzEecxZOL/ddED+/wc9tiycE4JIik5flrv5vZtnrtUIYLft6aTeIPagG/Eb97lo9nsY5yLINQjSjm727XSUIUg7ouwrNE3D13/6Q7z67HNwLIaRg4Z9KONhzOLBnQ9HVm+/QMKcIFJAPwpqIdHlOnDz+xFEUiQVjpAWkm5LUvUnfdyN6LZNrkhPw7y0DRs2YClM3IEpPBcLcDsO4HiMYs2aNYm2KwuQMCcIIhJo8idBEER8JC3Ga/nRnbfjtFOeiXHo2Icy7j3weNJNygQDJcyl0+FPT0+32ZIgBg/3uZAhCeM5iEATOcsQodRPDDZk7wmiOWHb+0acfPLJWIsh/AJPYT0WYsGCBZHV1U8MlDB3b8SnHX10wi0hiPQyPT2N8fHxwPubpomJiQl8bU/wpZYnJiZgmmbg/QmC7D1BtKdXe9+Omx/bgb9cdQJuKZK3vFOYjPJ1KWUIIbB7926Mjo56qXqmpqawevVqPProoxgbG0u4heFBx5Ut0nBcUkpMT09j5cqV4Ly3hE3FYhHlcjnw/qZpIp/P99QGYrBpZO+BdDxrYdOPxwTQcUVJmPaeCJeB8phzzrFq1aqGv42NjfXVg+9Cx5Utkj6usDwn+XyehDWRKK3sPZD8sxYF/XhMAB1XVETpKSeCQ69JBEEQBEEQBJECSJgTBEEQBEEQRAoYeGGey+Vw2WWXIZfLJd2UUKHjyhb9elwEkTb68Vnrx2MC6LiIwWSgJn8SBEEQBEEQRFoZeI85QRAEQRAEQaQBEuYEQRAEQRAEkQJImBMEQRAEQRBECiBhThAEQRAEQRApoK+F+ZYtW/DsZz8bo6OjWLZsGV7zmtdgx44dLff5yle+AsZY1SdtC6V8+MMfrmvjcccd13Kfb3/72zjuuOOQz+dx4okn4ic/+UlMre2cI444ou64GGPYvHlzw+3Teq1+/vOf45WvfCVWrlwJxhi+//3vV/0upcSHPvQhrFixAoVCAWeeeSYeeOCBtuV+7nOfwxFHHIF8Po9169bh17/+dURHQBDZoNWzVqlUcPHFF+PEE0/E8PAwVq5cib/5m7/B7t27W5YZxL6GTTsbsnHjxro2nn322W3LTdKGtDumRrafMYbLL7+8aZlpuFad6IxisYjNmzdj8eLFGBkZwbnnnou9e/e2LDdoP0Fkn74W5rfddhs2b96M22+/HTfccAMqlQrOOussHDp0qOV+Y2NjePzxx73Pn//855ha3DnHH398VRv/93//t+m2v/zlL/HGN74RmzZtwu9+9zu85jWvwWte8xrce++9Mba4Pb/5zW+qjumGG24AAJx33nlN90njtTp06BBOPvlkfO5zn2v4+yc/+UlcddVV+PznP49f/epXGB4exoYNG1AsFpuW+a1vfQvve9/7cNlll+GOO+7AySefjA0bNuCJJ56I6jAIIvW0etZmZ2dxxx134J//+Z9xxx134L//+7+xY8cOvOpVr2pbbjf2NQra2RAAOPvss6va+I1vfKNlmUnbkHbH5D+Wxx9/HF/+8pfBGMO5557bstykr1UnOuO9730vfvjDH+Lb3/42brvtNuzevRuvfe1rW5YbpJ8g+gQ5QDzxxBMSgLztttuabrN161Y5Pj4eX6MCcNlll8mTTz654+1f97rXyZe//OVV361bt07+3d/9XcgtC5d3v/vd8qijjpJCiIa/Z+FaAZDf+973vL+FEHJiYkJefvnl3ncHDx6UuVxOfuMb32haznOe8xy5efNm72/btuXKlSvlli1bImk3QWSN2metEb/+9a8lAPnnP/+56Tbd2teoaXRcb37zm+WrX/3qrspJkw3p5Fq9+tWvli9+8YtbbpO2ayVlvc44ePCgNAxDfvvb3/a2+cMf/iAByG3btjUsI2g/QfQHfe0xr2VychIAsGjRopbbzczMYM2aNVi9ejVe/epX4/e//30czeuKBx54ACtXrsTatWtxwQUX4JFHHmm67bZt23DmmWdWfbdhwwZs27Yt6mYGplwu4z//8z/x1re+FYyxpttl4Vr5efjhh7Fnz56q6zE+Po5169Y1vR7lchnbt2+v2odzjjPPPDPV15Ag0sbk5CQYY1iwYEHL7bqxr0lx6623YtmyZTj22GPx93//99i/f3/TbbNmQ/bu3Ysf//jH2LRpU9tt03atanXG9u3bUalUqs79cccdh8MPP7zpuQ/STxD9w8AIcyEE3vOe9+D5z38+TjjhhKbbHXvssfjyl7+MH/zgB/jP//xPCCHwvOc9D4899liMrW3NunXr8JWvfAU//elPcfXVV+Phhx/GC17wAkxPTzfcfs+ePVi+fHnVd8uXL8eePXviaG4gvv/97+PgwYPYuHFj022ycK1qcc95N9dj3759sG07c9eQINJEsVjExRdfjDe+8Y0YGxtrul239jUJzj77bPzHf/wHbrrpJnziE5/Abbfdhpe97GWwbbvh9lmzIV/96lcxOjraNtwjbdeqkc7Ys2cPTNOsexlsde6D9BNE/6An3YC42Lx5M+6999628Wfr16/H+vXrvb+f97zn4elPfzq+8IUv4KMf/WjUzeyIl73sZd7/TzrpJKxbtw5r1qzBf/3Xf3XkYcgCX/rSl/Cyl70MK1eubLpNFq4VQRDJU6lU8LrXvQ5SSlx99dUtt82CfX3DG97g/f/EE0/ESSedhKOOOgq33norXvKSlyTYsnD48pe/jAsuuKDtZP60XatOdQZBtGIgPOYXXXQRfvSjH+GWW27BqlWrutrXMAw885nPxIMPPhhR63pnwYIFOOaYY5q2cWJiom4G+N69ezExMRFH87rmz3/+M2688Ub87d/+bVf7ZeFauee8m+uxZMkSaJqWqWtIEGnBFeV//vOfccMNN7T0ljeinX1NA2vXrsWSJUuatjFLNuQXv/gFduzY0bX9B5K9Vs10xsTEBMrlMg4ePFi1fatzH6SfIPqHvhbmUkpcdNFF+N73voebb74ZRx55ZNdl2LaNe+65BytWrIigheEwMzODhx56qGkb169fj5tuuqnquxtuuKHK25wmtm7dimXLluHlL395V/tl4VodeeSRmJiYqLoeU1NT+NWvftX0epimiVNPPbVqHyEEbrrpptReQ4JIA64of+CBB3DjjTdi8eLFXZfRzr6mgcceewz79+9v2sYs2ZAvfelLOPXUU3HyySd3vW8S16qdzjj11FNhGEbVud+xYwceeeSRpuc+SD9B9BEJTz6NlL//+7+X4+Pj8tZbb5WPP/6495mdnfW2+eu//mt5ySWXeH9/5CMfkT/72c/kQw89JLdv3y7f8IY3yHw+L3//+98ncQgNef/73y9vvfVW+fDDD8v/+7//k2eeeaZcsmSJfOKJJ6SU9cf0f//3f1LXdXnFFVfIP/zhD/Kyyy6ThmHIe+65J6lDaIpt2/Lwww+XF198cd1vWblW09PT8ne/+5383e9+JwHIK6+8Uv7ud7/zMkF8/OMflwsWLJA/+MEP5N133y1f/epXyyOPPFLOzc15Zbz4xS+Wn/3sZ72/v/nNb8pcLie/8pWvyPvuu0++7W1vkwsWLJB79uyJ/fgIIi20etbK5bJ81ateJVetWiXvvPPOqj6gVCp5ZdQ+a+3sa9LHNT09Lf/hH/5Bbtu2TT788MPyxhtvlM961rPk0572NFksFpseV9I2pJ1dlFLKyclJOTQ0JK+++uqGZaTxWnWiM97+9rfLww8/XN58883yt7/9rVy/fr1cv359VTnHHnus/O///m/v7076CaI/6WthDqDhZ+vWrd42L3rRi+Sb3/xm7+/3vOc98vDDD5emacrly5fLc845R95xxx3xN74Fr3/96+WKFSukaZrysMMOk69//evlgw8+6P1ee0xSSvlf//Vf8phjjpGmacrjjz9e/vjHP4651Z3xs5/9TAKQO3bsqPstK9fqlltuaXjfuW0XQsh//ud/lsuXL5e5XE6+5CUvqTveNWvWyMsuu6zqu89+9rPe8T7nOc+Rt99+e0xHRBDppNWz9vDDDzftA2655RavjNpnrZ19Tfq4Zmdn5VlnnSWXLl0qDcOQa9askRdeeGGdwE6bDWlnF6WU8gtf+IIsFAry4MGDDctI47XqRGfMzc3Jd7zjHXLhwoVyaGhI/uVf/qV8/PHH68rx79NJP0H0J0xKKaPxxRMEQRAEQRAE0Sl9HWNOEARBEARBEFmBhDlBEARBEARBpAAS5gRBEARBEASRAkiYEwRBEARBEEQKIGFOEARBEARBECmAhDlBEARBEARBpAAS5gRBEARBEASRAkiYEwRBEARBEEQKIGFOEARBEARBECmAhDlBEARBEARBpAAS5kSsPPnkk5iYmMDHPvYx77tf/vKXME0TN910U4ItIwiCIMKE7D1BdA+TUsqkG0EMFj/5yU/wmte8Br/85S9x7LHH4pRTTsGrX/1qXHnllUk3jSAIgggRsvcE0R0kzIlE2Lx5M2688UacdtppuOeee/Cb3/wGuVwu6WYRBEEQIUP2niA6h4Q5kQhzc3M44YQT8Oijj2L79u048cQTk24SQRAEEQFk7wmicyjGnEiEhx56CLt374YQAjt37ky6OQRBEEREkL0niM4hjzkRO+VyGc95znNwyimn4Nhjj8WnP/1p3HPPPVi2bFnSTSMIgiBChOw9QXQHCXMidv7xH/8R3/nOd3DXXXdhZGQEL3rRizA+Po4f/ehHSTeNIAiCCBGy9wTRHRTKQsTKrbfeik9/+tO49tprMTY2Bs45rr32WvziF7/A1VdfnXTzCIIgiJAge08Q3UMec4IgCIIgCIJIAeQxJwiCIAiCIIgUQMKcIAiCIAiCIFIACXOCIAiCIAiCSAEkzAmCIAiCIAgiBZAwJwiCIAiCIIgUQMKcIAiCIAiCIFIACXOCIAiCIAiCSAEkzAmCIAiCIAgiBZAwJwiCIAiCIIgUQMKcIAiCIAiCIFIACXOCIAiCIAiCSAEkzAmCIAiCIAgiBZAwJwiCIAiCIIgUQMKcIAiCIAiCIFIACXOCIAiCIAiCSAEkzAmCIAiCIAgiBZAwJwiCIAiCIIgUQMKcIAiCIAiCIFIACXOCIAiCIAiCSAEkzDPIrbfeCsZYw8/tt99etW2pVMLFF1+MlStXolAoYN26dbjhhhsSanl3/PKXv8SHP/xhHDx4MOmmEARBxMLMzAwuu+wynH322Vi0aBEYY/jKV77ScNtu7Dv1BQSRDUiYZ5h3vetduPbaa6s+Rx99dNU2GzduxJVXXokLLrgAn/nMZ6BpGs455xz87//+b0Kt7pxf/vKX+MhHPkLGmCCIgWHfvn34l3/5F/zhD3/AySef3HLbbuw79QUEkREkkTluueUWCUB++9vfbrndr371KwlAXn755d53c3Nz8qijjpLr16+Pupk9c/nll0sA8uGHH066KS2ZmZlJugkEQfQJxWJRPv7441JKKX/zm99IAHLr1q1123Vj36kviAfqC4gwII95xpmenoZlWQ1/+853vgNN0/C2t73N+y6fz2PTpk3Ytm0bHn300bblr127Fm9605vqvj/jjDPwohe9qOq7l770pVi/fj22bduG008/HcPDwzj66KPxk5/8BADwk5/8BM997nMxPDyMU045Bdu3b29a74c//GH84z/+IwDgyCOP9EJ1du7cCQD485//jHe84x049thjUSgUsHjxYpx33nne7/5yGGO4//778brXvQ5jY2NYvHgx3v3ud6NYLFZtu2vXLrz1rW/F8uXLkcvlcPzxx+PLX/5yw/Luu+8+nH/++Vi4cCH+4i/+ou15JAiC6IRcLoeJiYm223Vj3+PsC8LsB4DWfUEU/QBAfQGRLCTMM8xb3vIWjI2NIZ/P44wzzsBvf/vbqt9/97vf4ZhjjsHY2FjV9895znMAAHfeeWfL8mdmZrBz586Gw6l33303TjrppLrvJicn8frXvx5nnHEGPvaxj2F6ehrnn38+vvCFL+Bd73oX/vIv/xL/9E//hIceeghvfetbm9b92te+Fm984xsBAJ/61Ke8UJ2lS5cCAH7zm9/gl7/8Jd7whjfgqquuwtvf/nbcdNNNOP300zE7O1tX3ute9zoUi0Vs2bIF55xzDq666qqqTmrv3r147nOfixtvvBEXXXQRPvOZz+Doo4/Gpk2b8OlPf7quvPPOOw+zs7P42Mc+hgsvvLDleSQIggibbux7nH1BmP0A0LovCLsfAKgvIFJA0i57onv+7//+T5577rnyS1/6kvzBD34gt2zZIhcvXizz+by84447vO2OP/54+eIXv7hu/9///vcSgPz85z/fsp5t27ZJAPJnP/tZ1fePPvqoBCCvueYa77u9e/dKAHL58uVy9+7d3vdXXXWVBCCPO+44OTk56X3/vve9TzLGZLFYbFp/q+HL2dnZpu39j//4D++7yy67TAKQr3rVq6q2fcc73iEByLvuuktKKeWmTZvkihUr5L59+6q2e8Mb3iDHx8e9+tzy3vjGNzZtN0EQRBi0CmXpxr7H1RdE0Q9I2bwvCLsfkJL6AiJ5yGOeQZ73vOfhO9/5Dt761rfiVa96FS655BLcfvvtYIzh0ksv9babm5tDLper2z+fz3u/t+Lee+8FgDovyV133QUAdV4SQA3vrVixwvt+ZGQEAHD55ZdXeWvGx8fBOQfnwW7BQqHg/b9SqWD//v04+uijsWDBAtxxxx1122/evLnq73e+850A1LCqlBLf/e538cpXvhJSSuzbt8/7bNiwAZOTk3Vlvv3tbw/UboIgiDDoxr7H1RdkuR8AQH0BkQr0pBtAhMPRRx+NV7/61fjv//5v2LYNTdNQKBRQKpXqtnVj6vxGrRH33HMPli9fjuXLl1d9f/fdd4NzjhNOOKFqWwB41ateVbXtjh07UCgU8NKXvrTq+z/+8Y846qijYBhG5wfpY25uDlu2bMHWrVuxa9cuSCm93yYnJ+u2f9rTnlb191FHHQXOOXbu3Iknn3wSBw8exDXXXINrrrmmYX1PPPFE1d9HHnlkoHYTBEGEQTf2Pa6+IMv9AADqC4hUQMK8j1i9ejXK5TIOHTqEsbExrFixArt27arb7vHHHwcArFy5smV59957b8OYwjvvvBNr167F8PCw993dd9+NFStW1JV511134YQTTqjz1tx11111Merd8M53vhNbt27Fe97zHqxfvx7j4+NgjOENb3gDhBBt92eMef93t3/Tm96EN7/5zQ23r21ru46MIAgiSrqx73H1BVnuBwDqC4h0QMK8j/jTn/6EfD7vDRuecsopuOWWWzA1NVU1fPirX/3K+70V99xzD17/+tdXfSeEwM0334wXvvCFVd/ffffdDQ33XXfdhZe//OVV31UqFezYsQOve93rWtZfazT9fOc738Gb3/xm/L//9/+874rFYtM8tw888ECVZ+PBBx+EEAJHHHEEli5ditHRUdi2jTPPPLNlmwiCINJAN/Y9rr4gin4AaN4XhNkPAKC+gEgFFGOeQZ588sm67+666y78z//8D8466ywvXu+v/uqvYNt21ZBcqVTC1q1bsW7dOqxevbppHU888QSefPJJz6PictVVV2Hfvn048cQTve9s28Z9991XZ5D37duHxx9/vO77P/zhD6hUKm09Ja4XppGR1TStatgSAD772c/Ctu2GZX3uc5+r2xYAXvayl0HTNJx77rn47ne/68VS+ml0vgmCIJKkG/seR18QVT8ANO8LwuwH3PKoLyCShjzmGeT1r389CoUCnve852HZsmW47777cM0112BoaAgf//jHve3WrVuH8847D5deeimeeOIJHH300fjqV7+KnTt34ktf+lLLOtxYweuvvx7veMc7cNxxx+H222/Hz372MwDA9u3b8atf/Qrr1q3DAw88gGKx2HRiUO337gShdgb51FNPBQB88IMfxBve8AYYhoFXvvKVGB4exite8Qpce+21GB8fxzOe8Qxs27YNN954IxYvXtywrIcffhivetWrcPbZZ2Pbtm34z//8T5x//vle2z7+8Y/jlltuwbp163DhhRfiGc94Bp566inccccduPHGG/HUU0+1bCtBEERY/Nu//RsOHjyI3bt3AwB++MMf4rHHHgOgwjfGx8e7su9x9AXj4+OR9ANA874g7H4AoL6ASAHJJYQhgvKZz3xGPuc5z5GLFi2Suq7LFStWyDe96U3ygQceqNt2bm5O/sM//IOcmJiQuVxOPvvZz5Y//elP29bxqU99SmqaJn/84x/Lo446SubzefnSl75U3nPPPfKoo46Sq1atktu3b5dSSvlf//VfEoC89957q8q48sorJQB58ODBqu8/8IEPyLGxMSmEaNuOj370o/Kwww6TnPOqdFkHDhyQb3nLW+SSJUvkyMiI3LBhg7z//vvlmjVr5Jvf/GZvfzel1X333Sf/6q/+So6OjsqFCxfKiy66SM7NzVXVtXfvXrl582a5evVqaRiGnJiYkC95yUuq0kK65T355JNt204QBBGENWvWSAANP/6Ugd3Y96j7gij7ASkb9wVR9ANSUl9AJAuTsmYciCAA/O3f/i1+/vOf449//GPSTemJD3/4w/jIRz6CJ598EkuWLEm6OQRBEJmiH/oC6geILEEx5kRD7rnnHjzjGc9IuhkEQRBEglBfQBDxQsKcqENKifvuu4+MMUEQxABDfQFBxA8Jc6KOhx9+GDMzM2SMCYIgBhjqCwgifijGnCAIgiAIgiBSAHnMCYIgCIIgCCIFkDAnCIIgCIIgiBRAwpwgCIIgCIIgUsBArfwphMDu3bsxOjoKxljSzSGIVCGlxPT0NFauXAnOo3tn1592DiAqsB66IbI6CILsPUE0Jy57v3fvXqw89dUoPvwLGIYRWT39xEBN/nzsscewevXqpJtBEKnm0UcfxapVqyIpe2ZmBqMLlwGigl2P/hkrV66MpB6CIHtPEO2J0t4DgLbkOIj9O8BXrYf96C8jq6efGCiP+ejoKADggQcf9P5PdAZr8P4mB8wL1egc+InyfMRR9/T0NJ529NGRPhvjT3sBWG4UMIaw6sQzIPbviKwuYrBx7+MHH3ig6T0d9jPb7jltR6/tCVp/mOch6XMQRjuSug5h1V9Lo/ZMT0/j6Kc9LVJ7/4c//AHiqQfBV54Gsed3mJ6eJu3VAQMlzN3hzLGREYx1cXOE8ZD0+qC6JG20kjRYUQnfrJ2LqIy2929E53nPnj0QT9wL7aizwPQCrPu/j9///vc4/vjjI6mPGGzc+3hkbAyjY2O9lxfi4HIvz3DW7FUzku5Xk7gGYdTdjKBtijLM6/jnbgBffAz40hMgJx/Fgqe9APaeOyOrr18YKGHejqAPS1oMdiOSMOJpEZy1ZMmIJ91pRcFhJ7wIbPQw8OHlAAC++Bic+LyzISYfTbhlBNGaMJ6lLNrUKGxIkrat38Q4kD4773LbbbdBzuyB9oy/AmMMfOVpsB/6GXbv3k0hjG0Y6KwskrGqT6cwKas+vdQZtA1ht62XdiRRZ5C2dUPS56MXghxv1Nx3330QTz0EbeWp3nd84hTImSdw8803J9gygmgNifJ0Eff56MWextG/BSVKR5gQAme87K/Al58EpucBAHx4GdjYKqw68fTI6u0XBlKYB31QwnhAo6JX8Rm0vqDe4DjORdxt6/X+CIuoO4MgnLD+bPDFx4Dlxr3vmJ4HX34iXvKK10EIkWDrCKIxaRWnWSYJx0Gc/X1YDp1Gn6zwrW99C9KaBV/6jKrvtRWnQh74E+69996EWpYNBlKYJ0GYD1UvD2yvoq1XA5E2z7ifJIc5w6STcxHViE0jbr31VsiZPeATp9T9xpc+A7CK+MY3vhFJ3QTRCWEJobCeqzDsWSdCr1Ud7UZ3w+hL4iCoQA5ST9Tnot11i/qadUKpVML5G98GbcWzwHh1tDTLjYEvPhYnPf9lkdXfDwykMM/q0GCSHvsw3tjDnvkfpich67GHnZ6LuD3pQgi8+JzqIU0/jOvQVjwLb3rL36FYLMbWLoIAwvGKdit24hDKQcRoEnRbb5BR4W7KTsOIZ1DS0AYAGFr7AoAbYAuPavg7nziZQhjbMJDCnCCIeFBDmnN1Q5p+2MKjAD2H4aNeEGPLCIIgiDB56qmnIPbeBW3ls8FYY3mpQhhPwktecR6FMDZhYIV5Ft+M0/JGTIRHWN7yNNJqSNMPYwzaymdD7Lkb+/fvj7GFBNG/xOk1j2PEMUpvea+kYdQ0DSw97oVgQ0vAxw5ruR1f+nTAKuHrX/96TC3LFgMrzIFkBE0YD3DQmMV+ImxD1m/npxlxHqca0jSbDmn64aMrwYaXYtnTXxRDywhCkfb46F7rzFJIS6u64xDlSYvjpENle+Xhhx+G2Hc/tJXPbrutG8L41299O4UwNmCghXlQ0vAAJZFVJm30gzjv1zrnhzRPazqkWYu28jSIfffjT3/6U8StI4h54hbncdvSuMR5VKN/cdrIpBMApEFbBOWoZ50JtuBIsMKijranEMbmDLwwT/otsxf6vUPphLAnMyaRliqJYdCoj7HTIU0/rLAIbOFaHH3qmRG2jCDqyYotjau+NPWLaX+R8ZMGcZ4Ev/3tbyGnHoG24lkd70MhjM0ZeGEOJLcyYxjEnfYwLcddSxQCPU76SZz/+c9/7nhIsxZt4pmQU4/it7/9bQQtI4jmZCmsJQ6S6B+a7R/3i0WWxXkS9+NzzngV+JJngJnDXe1HIYyNIWHuELcRSosxDyLQ07Z4jR8S593XGfZx7tixAzBHOh7SrGqPOQw2tAx33313qG0iiE6IU5xnwROcpjCSLHn9B02cL8qVwResCbQvX3AkzjhpIuQWZZvmqRIGECZl1w+DZCxxkR1GG4Ieu7tvmgizXZ2clzDvgSDXIYy2RHENGdcC7pjOlz5iMOjlGYpDbMdVj78+oHOhmIY+0aWXc9VrPxLGderlXMZ9n4BrwWw+J/9wLSTMCYIIHcYYCXOCIIgBgQUU5p0mBxgkSJjX0E+e424J+obd6fHH/QYflueGvObBCCrMSZYTSROX1zxu73JaPbBReuOTsqdh1J2G+juui/FgNp+EeR0kzBvQ7dCdSz8I9KiH/rIqzuOuK8nOJBzIY05kmzjFubtf2ok9PKIBJM7jr7+jenrymKf/3o8TEuYtiNqDnFaiNmJJiHO33jjqInEOgAFMI2FODCZRz1dKg0BuRdS2h8R5/PW3rYPzQDafcQYS5tXQGEIbel2UJ80ZTFoRdYYQ97zGPYwbx7VIU2aYLN57BBEmvTxDcWfGyIJ9SovDKQnblnSmlKTrJ+KBPOYdEsbbtr+ssEk+dKGeTttUu03UBjeOcxW259wtM+m2dA4DDxxjTi8TRLj0GqIXp6eyG7s56C/e3V6bQfBcJ1U/4zyQzWecAxDhNyjDZMpjvmvXLrzpTW/C4sWLUSgUcOKJJ8a6EElY4iYrXvSk3vD93vSoBGUc1yDsOnr1/MWaYo3Nxxx2+6FQFsIlTJufNsdFKzp9VnsZzY2abuqI89pk3XOd1hEPxoLZe8rKUk9mPOYHDhzA85//fJxxxhm47rrrsHTpUjzwwANYuHBh0k0jCKKOHiZ/EgTI5hNElmCcsrKERWaE+Sc+8QmsXr0aW7du9b478sgjY29H2ENBcYdxZBH/OQr7/GQxrCUrE0JZwIUjGD0DBNJj84FkwhcopKUzgk4EdfeNs15//Una8Sj6ACXMu7f5ZO/rycyryv/8z//gtNNOw3nnnYdly5bhmc98Jr74xS+23KdUKmFqaqrqEwZhxw7Xfhf3pMioCftFJuxzk7Zh3XZk4t5gLHgoC8WYE+je5ndi77M0EbSbOtM60bQbkrg2SdrSpENaQsfJY961vaeVP+vIzBn505/+hKuvvhpPe9rT8LOf/Qx///d/j3e961346le/2nSfLVu2YHx83PusXr0aQDg3dBwPdByx1p20IY2EfV46ySITdR3dkIV4c4oxJ3qhW5vfzN4PCmkU592WnzVx3qstTVKch923B7X3FGNeT2bOiBACz3rWs/Cxj30Mz3zmM/G2t70NF154IT7/+c833efSSy/F5OSk93n00Ue931L3ttkB7cRomieVRtmuLI0whHmN0u1x6cVjThDd2/xW9t5Pv3rNe6mjX0jKc55VcR4mLKDHnIR5PZmJMV+xYgWe8YxnVH339Kc/Hd/97neb7pPL5ZDL5Zr+HkacVlIPRasYuTBTM4Z5fFHHN0edVjDM6x3WuUg6VrEZrIcFhijmkAC6t/nt7L2ffo7L7vbY0pZqNymbFkbceVDSase7gWlaMJtPoSx1ZEaYP//5z8eOHTuqvvvjH/+INWvW9FRulsV5J/U3+q3T443iuOIwIFEa2H4V5+HTQ1aWPhVMRHdEZfNdop6UGWadWSbo5MysTcxMWkskLc6DZmUhj3k9mTkj733ve3H77bfjYx/7GB588EF8/etfxzXXXIPNmzcn3TSCIAgiZMjmEwQxiGRGmD/72c/G9773PXzjG9/ACSecgI9+9KP49Kc/jQsuuKDnspNK2J9UrLEb59zuExWxTT6MaiGFEMsN61yEEWcf9jWhrCxEL0Rp812Stt1R1RekT4iqLUHp1aalfT5AmPWmgsAx5mTva8lMKAsAvOIVr8ArXvGKSMpOehiqn+g0lMT9Pc1x563KTWP8fWruQ4ZAyzMDFGNOzBOlzXdJKnQhalJjC5Bc+M+ghbQkeU9yrgWy+UHXu+hnMiXMo4bEefe0myzp0mkcfJRebhLncdLLyp9Jt50YNOJ8ZtJaV9SijsR59PWGUXdQ3Kws3e9IwrwWEuY1hPFAueX0O92cpzR40bMizt1yeyEN92HwyZ/htoMgOiHIs5x2r3kUZE0kJ1XvoDn6gqa7pcmf9ZAwb0AYxjZrD1VcdHpeohLoUQjWNIjgZiR1HzIW3GPOSJkTCRGXOE+r1zwOSJynv94gUFaW8CBh3oSwxLlbVpT1ZI1uh1fdfdJO2KkU3TJ7JakXB0qXSAwKcdjxfuorehXJbhlx10vivAUs4AJxFGNeBwnzFoQZ8+uWRyi6NTZhC/Rm9actlClM4xqv54zymBPZJC4hlGWveRq88FnKQ5+UgylOcU4e8/CgM0IQRPiw+ZXguv30EmT+8Y9/HIwxvOc97/G+KxaL2Lx5MxYvXoyRkRGce+652Lt3b+/HSBAEQQBwhHkQm9+jx7wfbT4J8zZEEYvcqI4s5j9Nos1x5EAPK694WIR9D8Zzr7DAecyDHu5vfvMbfOELX8BJJ51U9f173/te/PCHP8S3v/1t3Hbbbdi9ezde+9rXhnCMRL8Sm5cxwnzjaSdJO5tEjvNeSCqfezcEXreih/b1q80nYd4BcYhzt55+MrydkNYFPtIozrMm0ONcYGhmZgYXXHABvvjFL2LhwoXe95OTk/jSl76EK6+8Ei9+8Ytx6qmnYuvWrfjlL3+J22+/PcSjJdJK0OcmqONgUAjDfgyaOE/qhSCO+5IFXmAomAztZ5tPwrxD4hLnbl3+T5pJsn29np9OrkOvhC2Ao0j3mMYJZZVKBVNTU1WfUqnUdPvNmzfj5S9/Oc4888yq77dv345KpVL1/XHHHYfDDz8c27Zti6z9xODS7TOaZa85ifN46+xXhBBd2Xugv20+CfMuSOqB6lSkp1VktaPXNgcV6N2kbeyVNItzIPx7x02XGHRo8yc/+QnGx8erPlu2bGlY1ze/+U3ccccdDX/fs2cPTNPEggULqr5fvnw59uzZE9rxEukmTq95kPqyaLdd+kGcp/3+6LW+XursmKD2nnPs3LmzY3sP9L/Np6wsXZJ0yir/w9WsHf7v43iZSEve96iuTZjZedKYTjEqOA/Y+TDgnHPOwbXXXlv1fS6Xq9v20Ucfxbvf/W7ccMMNyOfzgeojiDTQbRrZNNm6tNjvJPKcx50dJqlc7u3gPJjN54zhiCOOwJ133ln1fSN7DwyGzSdhHoAwRFFYhqxdO9rFtIdF0kbV3w63rDBJozgHkn9RbAULKMwBBsMwMDY21nbL7du344knnsCznvUs7zvbtvHzn/8c//Zv/4af/exnKJfLOHjwYJUHZe/evZiYmAjYPiKLZEF4pUGcB4XEeXwj6mlIV1mLGiUN0CYGcM47svfAYNh8EuYEQUQCi6HjeMlLXoJ77rmn6ru3vOUtOO6443DxxRdj9erVMAwDN910E84991wAwI4dO/DII49g/fr1kbePIAhiEGCMBbL53e4zCDZ/IIW5G0+bhrf7MOjlLb9VmUHa0a7cTtoUhieg09GEJBY5CjvUqJPwprhhrLdQlk4ZHR3FCSecUPXd8PAwFi9e7H2/adMmvO9978OiRYswNjaGd77znVi/fj2e+9znBmofkV3ittlp8Zp3a+eSWJUzjPrDaEdQOx+k7+qlT0nbiqCMs0A2v1thPgg2fyCFuUvSw0FJ19+KJNuW5vOSdtLysqjymKfjGn7qU58C5xznnnsuSqUSNmzYgH//939PullEhkizTYrime+1zF7PV3rsGNEpQUNZGAMQ8qXOus0faGEOkAFpRdreyIOQxk7LTxQdflrOf2Bh3uP5uPXWW6v+zufz+NznPofPfe5zPZVLEHGR5heBTklD3xp3vHlWJoJGktmLB40xZz0L836z+QMvzIF0GJC0EnRIMGmPS9T1hC3O3TLDIvGsLUzNtg+4K0FERhbCWdJQR9LCOC1tIDqDBbT5QfuJfoaEeUgkPZs7jS8HaRHnaUst1ox+854H95iH2w6CCINBzLyRhn4lSXHez17zsOklKwtRDS0w5OBOCO2FoA9H0oavE4KeH8miXZ0zDHqpI2yDGMZ9WIt7DdJgvAkiDfTjsxDVMfVablh9axjtCFp3musKWl8/PgP9AnnMQyYNHoY00utM/6iNSNoWbYjqmOO6Pxl6y2NOEGlkUL2haQkpSap/pX69PUFjzNOSJCBNkDCvISnjkRWjlZSATUsH1QwS5/XEkS6RIIIySGIrLfYz6X4uzv5r0F7ieOB0iRE0JuOQMI8IEueNSbNRTcNEpVoyK84ZwChQjuhDkhZASRGWzchKPxcGA3WvBLT5g3J6uoGEeQOynsM77UYrze0LQ5y75YRFFFlb3PKiuw7BVoEDyFAT8RGnLUraE5qmviXJtqQtbDHMehLVLiygzSeDXwcJ8yakyYilse6kvMtpjzd3yYr3PMr7JGgoC0GknYHyhNaQJnGehboH5V7hPJjNp3SJ9ZAwTyFhpgmsLTdMSJy3Jipx7pYdFpG0kyW3wBBBdAN5zZMjyfDBuGPA01pPWFC6xPAgYd6CrA63tWqLW3bWGWRxDoR//FGcy6DCnOw0ETdJzQlKgrTZtTTO7QmbrN4r3RA4K0ufn5cgkDBvQz8Ot4Up0LPk8ei3Cblhe8/DvtcCD1GSnSb6mDQIyTTbtSDE7QCLqy/J0gsjYyyQzSdhXg8J8xhIa5pAihWMr44oRyvS6o2h/LRElsiSCAqDNInzLI5Op+nFJA0EDWXJ6OMTKSTMOyBp4xu1OHfrSIpeDVw35yfp0KKshLb0TNB4Q5AHheh/orID3Zbbb+I87XXH5TVPAsYDOmPIgVMHZRruECZ7W1a414e+1/rbEUb7slJ/0LrCOv+S9b68dCOyYLwJIs0EeS7jeu46rafbYwijbwnLpiXZjwSpO1XOEB/UF2Qb8phnjDSHttAknu6IYrQiiqwtgdoBSpdIDA794AlNi/c8S/OW0lpHErCAK39SN1HPQArzXt+qg+4f5pBfqzp6IWlx3gtxhLR0W0+nbXHLDYs0GH9aYIjIImkTzEHoJWTP3b+Xuv1lJUEWUmCmrY5eYYEXlSODX0tmQ1k+/vGPgzGG97znPYH2j3vIKy7CGpZMiiyEtHRbT6eEfd4TvU+ZG3PY/YcgaunV3sdBHKEQWbJvSdefxbqzTFB7Tza/nkx6zH/zm9/gC1/4Ak466aSeykmT1zRsBiGsJAzSdg+E7W1K8j4NHMqS4ueKiJ9e7X1QwdwP9q9X++aWkVT9Wak7iUm3aajDDw8YykKT/evJ3LvKzMwMLrjgAnzxi1/EwoULey4vq2/1nZCU5zxpj3239ffzPZAUDPAWnOj6k3TjidQQtr1PI1GLpyxP7Cf7miFYQHtPBr+OzAnzzZs34+UvfznOPPPMttuWSiVMTU1VfRoRp+HoJT49iYwBSWcwiYu0dR5hZm5J6lowxgJ9CMIlCnsfJXE8a0lkD8mqOE/7qHY3pDljEKAGOgPZ+xRfo6TIVCjLN7/5Tdxxxx34zW9+09H2W7ZswUc+8pGOtk3r0GXtwxgk1CGpcIYkJ8rGnSUhqmwomc0RzHoJZQm3KUQ2idLep40sTCDMUmhJGPVGHc7SbwQNZQm8QnQfkxmP+aOPPop3v/vd+NrXvoZ8Pt/RPpdeeikmJye9z6OPPtpy+7R5h1u1J8pJQ73WFVa9SZC0Z6kR2fScBxzW5OQ1J+Kx9+3oJ2+rSxrtW5rrjrrOrPWPrXBX/uz2Q46YejLjMd++fTueeOIJPOtZz/K+s20bP//5z/Fv//ZvKJVK0DStap9cLodcLhdL++JK1dcLaUj1GGedQY+31wmYUXjPs+Y5ZwC0oCt/htsUIoOEbe/jHDFKe2KAJD3nSfV9cdWbRq95XPcj5yyQzSePeT2ZEeYveclLcM8991R995a3vAXHHXccLr744jojHZS0PFidPEhB2ppEp5FFQx5G3VHkO0/DvdkRLLgwJ2VOxGXv00ScmT2yalez1n+FTZr7gMDCPDNxG/GRGWE+OjqKE044oeq74eFhLF68uO77pOj0AQ7zwYpTnPfiSU6qEwkjLtItJ2j9/nJ6JQzDnKaOhiAakQV734pebGy34tzdL+q6auvNWrx5Wr3m/Zg6keiNzAhzIvtkcRKqSxjec7ecXsmCOKdQFoKIjyTE6iCJc5oI2h4t4CgphbLUk2lhfuutt0ZSbtYeqrhDWrJkUMMkTYI4DeejHYGFORlqogFR2ftWZGluTRbFeS8Mqhc47vujUyjGPDwyLcz7mbS/oWdNnIcpiN3ygpIWcR6loWY9xJiTmSaiIG4hl6V46KylMuwF8ppHg8aCCvMIGpNxSJjHTJoe1EHzOIR5vGkRxek1/gx6YI95yE0hiIyRNcdHL2RJnGedKPt8jQez+YHXu+hjSJj3ERTS0lm9bjm9khZx3gtRtaG3GHMy1ASRJfua5flDWSSNLxYUyhIeJMybkIYbPwtGJ6vejrR4rNMyMTX0+6yXUJZ03/LEgEETJKOtr5c6e6k3DkdWGnRELVHpCgplCQ8S5jET9YMat9e8F5KOTewncZ42lMecEtQSRK9kRbT2Ul8vdfYD/dAHKI959zafPOb1kDAPkUhCAgI8sFmaCJp0vWGFtiQtzsMK8QkTyspCEMmPimVJnAdlEL3maXuRCewxJ5d5HSTMM0Achi6LXnMgXUvVZ12chwlDMCMNUCgLER1Jzm1J0iOadP2dktXQyKwRxfFSjHl40FhznxLECPfysCZp9MOqm0nZs8HqtS1JdhCD1jkRRJwkbVvirDMJW0L2i+gXyGOeAHHFgWcl3jwN3ura9vjLjbstfRGnSXnMCaKOMEbF3HKC1O0vo5s64wxpyYLXnMJZ6tECeszJYV4PCfOE6EdxnrSRiKL+uDuzMEj6OgDO5M+g3rZwm0IQoZCmsLm4yUq8eRbPbb/AEczmUyhLPSTMM0ZchierBi4qURr3JNysnn8/QT3m5EIh+p1BSqMYhH70mkdVXhocMUBvMebJtz5dkDBPkLgeqCwY1DCNXC/Dva3IQoacpOt1YRTKQvQhYYfMDYI4H4SsMETwUBbOADuC9mQZEuYJ048hLWkhqtCWtMdopoUgyzMD5DAnBod+ysTUDyTtNc8yGmOBbL7GGQnzGkiYZ5R+DGmJoq60iPMk6kqy0+4tXSJ1dMTgkLVUteQ1j46sthsIHsqS0cONFBLmIZL2GLG4jFzaYqujCG1Jy6z81EKhLESfkraX/bTZ2zTU1QvkNQ+GxoPZfJr8WQ8J8wyTpZjnNBC2QI9LnGfRa87Qy8qf4baFIKIiTJuSxec8DgbNax6ENFx/zmiBobAgYd6CQZs0GWY9afbipKUz7XfIY070G83WOPD/P2trGNC8md4J87iyeo4CT/6kZS7rIGEeMlkwrFkwqnHUFVX2lnZ1DoLXvJesLOQyJ9JGN89PEnYlCfrZcRX2sfX7vQCQxzxMBvJdpR8fkjQeU6/COk6j3wvdtjOL3pA0s2XLFjz72c/G6Ogoli1bhte85jXYsWNH1TbFYhGbN2/G4sWLMTIygnPPPRd79+5NqMVElghqh4I+573YvSTqTHNdRP8xCPZ+IIV5NwQxdEkY1rjqiVuEMiljmxjbS1vjOC9ZuK/8uEOb3X66beltt92GzZs34/bbb8cNN9yASqWCs846C4cOHfK2ee9734sf/vCH+Pa3v43bbrsNu3fvxmtf+9pwD5hIPd0+B62euU6ex6B2JSviPE67kvaXjkH3sAe19916zAfB3lMoS0RQSEvv9dTW6ZYVJWmOjc8ScU7+/OlPf1r191e+8hUsW7YM27dvxwtf+EJMTk7iS1/6Er7+9a/jxS9+MQBg69atePrTn47bb78dz33ucwO1kyCipJ/tSVpCTIjw4IGzsnS3/SDYe/KYd0ASxjErHu24cT3oUXrS4/KcZ8WTFoxg3pMgHvNaJicnAQCLFi0CAGzfvh2VSgVnnnmmt81xxx2Hww8/HNu2beuxNmKQ6fR5jNvb269ecyI8wu4/3Rjzru190LlIDv1o7wfWYx6HNyIrHo84vBBR1VFbZljnOy7Ped96gHrJY84YKpUKpqamqr7P5XLI5XIt9xVC4D3veQ+e//zn44QTTgAA7NmzB6ZpYsGCBVXbLl++HHv27AnURqL/Cfu5zMoExriytPRbMoFBJ3BWFqbsNtn7echj3iFpj2/rtc4wYy+TJExPeloNeRa85m4oS1CP+U9+8hOMj49XfbZs2dK23s2bN+Pee+/FN7/5zciPkSC6JSue8zST5nlYza5TP16HWoJ6zDlj2LlzJ9l7HwPrMc8Cccc7R+29jdM7HFZMehZSS6YVLejxM+Ccc87BtddeW/V1O+/JRRddhB/96Ef4+c9/jlWrVnnfT0xMoFwu4+DBg1VelL1792JiYiJYGwnCoR+f9TT2H0S60RgLZPM5YzjiiCNw5513Vn0/yPaePOZdkKX0V2mtL+7jCaOjiPq691unDiiPOWcs0IeBwTAMjI2NVX2aGWopJS666CJ873vfw80334wjjzyy6vdTTz0VhmHgpptu8r7bsWMHHnnkEaxfvz7K00BkmKiey6x4zeMQ2ZSmMTyS7kcYC2bzGQDOOdl7HwPtMe/3GLd+9OQEIYzzkDZvUOoXHGKAFtxh3hWbN2/G17/+dfzgBz/A6OioF0c4Pj6OQqGA8fFxbNq0Ce973/uwaNEijI2N4Z3vfCfWr1+fiRn6RP8Rtz2Jq75+qydMstjmbtAC2vxuw9IHwd4PtDAPQhIPF4W09E5S4rzTevvNaCsvSDzK/OqrrwYAnH766VXfb926FRs3bgQAfOpTnwLnHOeeey5KpRI2bNiAf//3fw/WPoKoIS4nSNzOFkqSQHQK4yyQzWddXvtBsPckzGMk9V7OGOsjcd476b6fgsUbqj27Q3ZwHPl8Hp/73Ofwuc99LlCbCCItpD0HeL85GbJEkudeC2jzu11gaBDs/cDHmA9C3taszeh3V8uLSsz2StauP0EQ0ZOFNSTiXjshSuI4f2HXQX0H0QnkMQ9IEtk6kliV0t0nCuPcaYiHnzDakYTnvJM64/bGR+1d6dYT4kJdFxEVaQubyEo/EvVqz/0aCpQESXnNmTOZs1sG3jvcABLmyFbcXlIPXW29SXrT0yLOieYwBJ/8ScqcGCQoJSvRDwSd/Em3cD2ZeVnZsmULnv3sZ2N0dBTLli3Da17zGuzYsSPRNvViFJNIodiroA0rxMRdBCjpEJswzkec9UVBZB07U5M/g3wYKXMC6bD5/fCMNyKOkBZ6aeiNLKVZBuYnf3b9ofukjswI89tuuw2bN2/G7bffjhtuuAGVSgVnnXUWDh06FEr5WTGovZLkcTYS4yTOeyet927wPOYEEb3NTxNpzjUeV31xLz6XFGleubQXOALaezL4dWQmlOWnP/1p1d9f+cpXsGzZMmzfvh0vfOELE2pVMnHfvdabBFHFqGfpHLgMwhA0hbIQvRKVzY/6+ctKaGQc9jOrNtpPlo8hzrbzmPKYDwKZEea1TE5OAgAWLVrUdJtSqYRSqeT9PTU1FXm7uiUJcZ5Ex9Hu98jOgRQ1ldUPEvV6PtJguNP4kkeTP4kwaWfzo7L3lGawmkFwLAQl7POSpcXxOAtm82mMtJ7MhLL4EULgPe95D57//OfjhBNOaLrdli1bMD4+7n1Wr17dstykwyoGmdji6WqFegj1d92GEOpLO4wBGmeBPvQ4EbV0YvO7tfdRkpUQk6z3XVlvf1zEcZ6C2nuKMa8nk8J88+bNuPfee/HNb36z5XaXXnopJicnvc+jjz4aUwu7I4sTQdNWTxjiPG76W5wHizdURpoMNVFNJza/G3uf1omMWcltHhX9bRODEdY5iXwFV4oxD43MhbJcdNFF+NGPfoSf//znWLVqVcttc7kccrlcV+WnOV4v7LrTNiQZa0iJK859oS1ZD2lJ0/XsJcY8HUdApIVObX4Qex8lcfclcT7/3dSVtF1sRNR52cMmrGsb5XEETZdIMeb1ZMZjLqXERRddhO9973u4+eabceSRRybdpFBJm+Hy00t6w7BDPKSc//QDab7uBJEk/W7zo4DsSf+SFc850TuZ8Zhv3rwZX//61/GDH/wAo6Oj2LNnDwBgfHwchUIh4dYpen0bTdtE0EblJemVrW2O+7e/OV2fBykS95qnydMdJjT5k+iFqG1+HF7TrIzAkt3qnbhWLg2jrijaGnTlT5r8WU9mhPnVV18NADj99NOrvt+6dSs2btwYal1JZrhIwtilzSB33WHWCPSqa8B4+5jymrCWVvU3ehmo2yZgJ5cEUdarBR2jJDtNIF6b30+kUTAnHQoSBmk6hjBW4Q77HnEnc3YLp1iWOjIjzGVKHgiie+LyxkjZRJwTDYl0sRAEjx0kM00A8dh88pr3Vl8aXwIGjbC86D23A8FsPt099WRGmGeJjnJrN8in7ZIFQx6qQW5yPkIT5514zWva0axuxuZj3MP2mvdKp+cqlnYxQAscykKmmiCI7JC0KAaSf0nSAtp8cpjXQ8K8Ce1u8k5CGhrvKKr/bSHQB4KA50PUiEt/bFs70dwpSRu6TummjXG+LATOT5v+U04MMFnwmsdZX9J2Mk4nSBh1RTpSmeC1CBpjzsng1zHYwtzvRe1CIPufq2YisOMHOERvcZppeD4aebG7iPf2I6RsbRQCeM2bFsU6ywoT15LXnRKnKGcAtIDvnP1z1xNZoN9sbVrp1/DCtN07Sd3PGg9m8wfdN9mIwRXmtSKtgSDr9AZv5j3vSpwDHd2h/uJ6eiFIO42uRxtB7HrROWPeC1Or88F894D019VBSAsQnmc+KGnrEGoJnJUl3YdFEIFoZkuisumD5DXPCm3TAdecw6B9eSJJJBDUY07UMpjCvJnntANvactiexVqXdbfa329GoHIJ04556Pbelzved35aeE1Z1JUi/M2dOo1j4q0d4JqgSFKl0j0Jy1tWUBHi/t3yh/tgSZKp1fDlzbnuyw42zTGAsaY0w1fy2AK81aELM7rDHi7kIoW3town80ohV1tO9tVxRqcD08kBxTn1WUF8Dh16DWPpO5+IGC8obNzqE0hiNjw27KAo7CNxHlTO9ImHJO85umh1fmMJK94zNcjcB5zumfqIGHehl4zgwDRirPaunqpJ4x2Nuw7AqQx7MaDXVsaQwuveUh1enUn4OHKQufXU4x5+g+P6DMC2flObFlAR08gu9KjUykOouoL43CA9Lo+SS9kwcETNMacsrLUk+6nOGIaeWo72q+DG6mnZyhguzouvluLL8X8p9VmrTJEBjgf3vVx/mVS1nuSGtXl/OvP3OIds6/jaiTCWa3Hy/u+txcegiCyh5sa1f203rhFiGTAurvfqb6uWCd9d1BXy2xnZCubQudmcBhIjzmTwhNgnXhJAw8H9rLgTRchHGF6beva2WiSLNA2zMM/EbO2nR0Nyzp1eNen2/h7zAdEROXVTirOPCtDxhQ7SKSKBval5eZtRv+6rjuE0Lhu6+qpmAgnnWbBfvlJu7c6DTAWzOZn606Ih4EU5gBqDGVn4hzwTcboNGVeBwvetIyxbkAj0VtfQOPYw2Yx62EOm/o91f7/14WW+M+D96//pDovT4BPnGteWbW5zIV063GKQnVIC5qc/1qq7ocOOtROOussDEWGTdC+lww1ETrNUrP6bFg3Wbg6cbjU9SsBBHNPzp2qtsQcb9yknUEXQevoukRkY9Nkt7s9xjivO0Mwm5+xd7RYGExh7heDtYYyoPe8ViQC88K5lXBrFk7DpFAhGU573OJrRa9fnHsPbAepIFtlA/Ae/iYvD41EayP8VdTGfaORgWnWKCk8cc6c71rZJiGr49b85ylQjHsHHWqn4ry+nvCMfreTbqOGFo4gUk9EMeD+EVmgtaOl17oa75T+ePNu6HTZ+aw6QLIyCtoKDhbI5tNKz/X0z5PbDcKeVzGdLDJUE1/tPvjuc9RIlNd+71XXINa5qo4OYrmb1eGV47Wzcby0f1/3429jLbUvD/V/1+9Y+02juO+mVJ2L+evUak6AkI3/9n9dVbX7wtOi8wo6B6EbghrjOo9Sk2H3pHC9J4E+yTWb6EdCeI79dtIrttamOzSyG43myzSro5WN7MpedHDcHcXOp4g0iu6429TwHgigHcImqL0ng1/PQHrMmbDBhAXJdeV9ZRxgvOqGb+h97nLZeKD7RW/qvMSAF74hpGyYgaTu+BqIc78AlbJeIHeUxaRR+E8jb3xVufP/d73YQkr1Zs0YWJ2CbxTTzn3u/PlwFgDz56gBfs9525VBOyQKz0ZHOZGBpvddq36h7fVsUW5PsB5m25OhJiKioQe7jXe5UWheQ1vSTYhcG2rtVdPnOKT0u1HNw6kla57hpF8E3OpbnrIORsiblRsmLKDNH0zvcGsGUpjDLgPCUqJOMwAocVT3EDTx0qqJhbzOwLQSzZ5BB6t/yGo8w96t2uQmrxW7rtD1JrV2MMmp0XPZSLzWenr8Yq5RR1PdidW3m7Oauht0LLXn3D1zwPyEWDA1bNaJB752ImjDMBr/sbntQpsXkBbhQN3SUJwHMLidV9g633IYZKj/JQaAWodFL+ElzRwZdfbS+6H1i0AjO9bMmRBZysGYxHmvtBP3WQ1nqSWKF6faMsPE84B3vWO47egHBvJlhVeKYJUiICwAgOQabCFRcT628D34UqjQF/dTI369MJAG9cgGHyGlGj5krN5YO2UzYVX97dYjAdU2Kb1/hayp2xX5Xntl3QuGcPYTUpXn/r/pc+qW6R/3bDNk5oWSSFn1cb93z0NtPd659Z3j+e9kT+EldZ1fq445wSHBlvW3Pe/th8ObToQLGTfmsNtPv9npj3/84zh48GDSzRhoWoaXVH3XWq24dhzw2X7XnrfcsTrmPFYaOZc6EGWdpj70f8KgH0R1W9qEnfQcmpjAfRbU3vfbXKQw7P1ACvP790zhgSem8fATk9i1dx/27H0CT+4/gANTM5iZK6Fii/mHQEowu6w+wvIEb9VkSMATt7VeYtT8JgHYtaLUEZyqfPXx6sK8obKFhC2BigBs6Xx8FTJXvDr7M3857hCu0wZX3LviXHpivbY8V5S3iPuWwssxXj38KquO3a3LFnL+JcV7AWrgLfZ92sXLV+3awGtfc7qrh3RbzS1AfJ1ps46NNTn+2g6sUXgSEM2wZScEjjnsI6anp/FP//RP+MMf/pB0UwaWKi92M0HUSTx2zf9dG9a0LL8zw7WhDeho3k1tFVVu+trVRUW9zYiALIWkpIomfVmzF5KWc9VqRoFaXfPI+wGKMQ/N3g9kKMvc5D4waUPqJmwwJZh9YSw6Y9A1DkPXYOoadE2DySUMjcEwdOjmEPR8AVphBHC87VXxzDV3misUhQRsONtxVRlnHAyOcLbK82KYccDIK9HIdUfQz4tzt60aY+BCQtOcuHRX3NtqNACcg3G9Kt2gcES9/yVCAtAgvZAeVtW5zD/wXjn+uO8m+L3w/lSGwnmT0Xh1dpVG3vL5H516JavriNrRMta8XYxmjzTLJlDnvG9yKpvOF6gZDg/SuYeRMaJp2QgeY57V/r5cLuMnP/kJdu3aBdu2USqV8OMf/xiHHXYYLrzwQpx//vkYGRmBpmlYsWIFzjnnHOTz+aSbPRg0CQtrFdLCmE8IOd/VhhG64lyrvWlrhXijcMIuH9nacIZGIRuNJuq3WgeiNma+05CJfhPlVf1Quzk53obtr2nDsNVG5ba4Nu7/W82Rahim1abcIH1GKziC2fys3klR2vuBFOasUlbCHAy2ACpCVglHaACEgCiWUbItMLjhKo4o5BySaY5xYjAMA4ZhgGsadMOApuswdAO6YUDXdWi6+k6CwY0g1yXANEefC0uJcqs0H8biPlCMQyLnhdqUbel5yTljMLX5nN6asAG7DFYpzRsArkHqALi61MLxlFeEdCaBqmPWGMA4w/y0SlR7q10vrfuTKhzua4iEE3cP18BXe63dv20JMMfAMAkwyPmXE1+dEK6hEQBXRkbVU9XCxte3iQGTTvurJ5/WeuprLLT/Wvj+38tQcLNhytqJwQ3jVVuIidpivWOt6s3rvSq9xtsSir/5m7/Bd77zHUxMTHg24ZhjjsEtt9yCf/mXf8F//Md/oFQqwbZt7N27FyeeeCJ++9vfJt3s/sc/yufiCtGGq/82S4nrFFdjy7gj4L09GoQP+u1loxdqf+vcchrGl/ucMqr9TdZmcP/fwl50lHq3pqx2NF2groOJ6w3NdpcvN3XnpbaMBuU06gKCCOpWdr2WuvTDLfqWqn6r1bwGX5tqr7lbZthifJCJ0t4PpDCHUMJVMgbLEbuWc8NqYOCMQWcAhAATFSd0xXkaNAMSBqBxQDLYELDLJRTLJeUlBFNDOn5PqQQEJDSuwTAMaIYBxnWYpoGhnIG8KCJnzcEUJZhMQHdSlcjCGGzGAaMAWzKULIk5S6Di9BAaY7ClqtXUmAq3Kc+BV2YBWwldqRuOdeCq7Yx7x+wX+DpXk1I1CegcYELF1vvj3eEzIK4Yr+1s2PwP6lTL+tAd5poaIcG1atEIKcBsq8qgSwGANX777/iSy3kPV8dv6J5ans+jXl3m/EHVT5qt9WTVd/YtF1/y2tDY09cM/wtm22Ot7TRDHjnIqickKNdffz2uu+46vPSlL6377Stf+UrV3w899BCOOeYYPPXUU1i0aFFMLRxQXDsGeBm46qgLB/E5Y3z458kAAIeEAAODBOPMF9onquymZxaZViWagsokv0BvuVqzz6Hi1q8cMtUvBA2f1Q5sT+2LQtP9W+zr/7uqnC5tX0dlBC3HoZNRxnYLAHbiGKm9PtL3fcNy25zrVmWGRdColKz2E1Ha+wEV5kq02lKibAsUbQHLua91LpGTzi3mikS7DMD1CAOMcUjoEJAQYl70cQ5PlDPpeIDBIRmHlEDZsjFXsQEUwaC0vc4YuLTUS4B0JpcyBs3IwTBnYfBZaEPTmIOBSYth35xASTIUciaG8zksLJhYWNAxZHAlyucmIaf2QZaLYFwDGx4DK1gQjEGaw6jYEkVbYrYyL/ANzpDTVFiNwdWRep2ZG14DxxjxeU++H3dBJHcqB2PMN+nTmWTqnRFAOuNeXEgYmk8YOi8E86JRgjEByRuHnHRjXKrDaXxec7hhMo08LNUhO26oT7N0k6rJ7T1Grfav27fOy1GdStOdGOwXDLXHWjXU3qDDi8I4Bk1PmdXpnwsXLsQpp5zS0bZHHXUUjj32WMzOzpIwjxgmbG+iP2PcSZPrG3mrnYTv35dr4GCOc0F6YYDe5lDPu9/BwKRQ9bn2jKuXAcZ1SMlV18IYhKgW+cB8KIBnS/yPbQOvZ8MsX+7GrkBrMYJYZxPrHAw1nt2atvj/biSIm4XfNTwW1znRqv4GorOVg6S2nFoB3MyTXDvKWNuWZuEijUYhpBINzV+eUP3i5G2CxqFTdcdV20/UjvT6j7emzDBRo0fd2+6sRkVFae8HVJgLgOsoWRKHKgLTZQtFS0LnDCOmBmEory6zikD5EJhVUftxDmDISbE4HwYDKM8KhyPK7YonssE0QDcBMFgCKFoCtuOH0RlDTucoaBq4PQdWngWrFMFsCxJA0SxgzhyCmKugaDPMWQKakMhJJXKLnOGgacDKG5jN52BaszCZhKEvglmwYEw+Drb7XuRGxpBfcyxEfgwzFsPemQoemZzDZMmCxhgWD5lYMZLDwgJgahq4XQGrzIKXDqnQGCkgua46Fs2A1M15LzLg9k4qHIUxaHoOUswP95ZtJ9uNzzAZnMHkDNA5crrjabItFc5jl6sFLdeV59wf3uN44hvlSa+61DXDz26bGGOQkNBqZKDrWXMNmzcq4NuoVghz1uCtv8FQNgOHcFI8NjKQbnvAGLgbylMz0RhwX5AAL3Uk5sOF6lJpgsHTDJ4nT1Z3DMwZ9QiZrBrcoDz00ENdbX/fffdF1BLCDysfAitBhfVxHTAde8L1qvlA7tOuRgmd/zu2T0A9Y5aQqAjnWYMatXT9CgwAl1JN3q8UPQeQKlxTdpNxSGZAOmW583AYHPvlE+RMyvmQPqbCBGtth4QEk0pIcsadFwKVsGD+BHDHfgMS6kXerrUXnHn2k0k5P1IKeKrbtfeSaxCiek0Nd7SYeWWIKhvDXHvqE4t2jRi2/Q6EmhDKqjIAz/NfW4aXOrhdO5wy3H3qXB81zoyqRAjA/PnwvWjYPlvsItHgmPyOJ2De/jr2XDpjyrU2XTLVbzHUOlpkVX/jjgr5PfH+a+6d75AVujeZs9v9Qm1FfERp7wdTmDMGyXWUKyo05GDRQtmWMDUGnQOADiZtMKsCXilBWiW1m56DNJybHyoMpuK4TwwNkJIpgSoqgF1RhpVr6iHRDNiQKAkB23kmDQ4wpurlUoJZZWBuCmLuECAl+OgCCADMGIKQBoq2wHTJxkxJGXxT5xjPS5QrFirlEnKH9oMVp4HKnBJ0Rg5SXwBpjUDuOgQ8+SCkpkNyHYdpOtYOm2Bcw4wtsO9gEdwewpCWB7QK+OwB8NIhyEoJEDa4mYfMDasHXQi4oSWeaHQFLePgjEPjBhiUUakIiZIlUfEdu6kz2BoHY9KbbMrsCphVBLMq80PPXIc0AAh9Xiwz5k24dQ2NF7eOeW+H8ljMG0r/ZFR1beaHoNWxVFA18VSKeQ+bM+lU+styDTFY9UtBg06l3svj21/Oi+gqoytl9ZC4Uw4DIOW84ZWYN+DSX55UYqMqhKZ2qN338hFmFgfVURNE8vDZg+C6UGF9xhAgBQTjsHxiSpkA54XYH/oidXUvcwMSSpSXfSOsjEkYnAE6oHEGQwowd76QXfY85lLPKxugCS8zl8qu5b36Q+NqwTWDM7UIXu1zrxnzo4+OHbKd/QA5L6y97F4+bz3g2QHXXlQlAHCMhsYwb2/8LxYSnjPA/bPe/jq2yy9iq0YMXZujwU3Z6xeKruj0bGmzMnxi0+94ceP9PVFd60n2vMjV3uRGx+KfN8BanI/aEMdasVtv02vsr3NckusN4sLnrxFnyqFUl6ChQXnzDjN1DiS0uj7CveRhwhHM5mdVmEfJYApzrkFwA0W7goPFCqZLFixbwtY5RkxdGWlHJMriDGRpDtAMsGElDiXTnImYAiVbKtsn1ERMJmwlsK2iElbcUB5Q3QQgYQlgrmJDSIm8roFzwBYaDMYA24KcnYE99RSkbUGzKtA0EzJfguQ6Kjaw71AFk8UKSkIgr2soWgb4SA4FnSNfmYM8uBf25H7IShlM08FHxqEtnoAAYHEDk4dK3igBZwx5XUNOYxgyOKanGIqP2XhU2tA5g65zGGYOhpmHLk2YcxbM0iFopoBRGIJmGsrL5GSB8XubucnBmRoCLlkST81VMFuxUXKUeU7jWFQwwJiOcak8PcwqqpeBuWkIJ0ae5QrK6HAdEjlIrnsvRJ7IhjN5FW7n5hhYzjxD6Q5B+zsCCShPUa0Btq15I8m5EufS7+mBl/JRCdD5OFPdX45vONkN9QGrN5Ke18x5WeBuE70OwZr3nDXoaGuPT8B1cqnf3cFRfzrNqvhX9+UjZJpNwm27X8jtSIIXvehF2LRpE8477zwUCoWkmzPQ2Hv+BDG3AHx8MdiwgJ0fheQayhWBsi+cT3m8heMcKCuBrhmQRh48p0NIJcpnKgLFioAtJQzOUTCUJDG5k6q24oQUlmaVmNNNsPwoAEAaSqBXLImSM1+IMyWITcCb68NsC8yuzL88cx3QDO8594cGahIwNTZv+4Q1nwCA8QYJAFTKXddjzx13PVcxF55Xt8przvxhnPOZyPyODq75QlFqve4+GyNl9csBaspQ/xdNy2CO2ASq7aiax+O+qDjUrj1SU4Yr7l177rbDe0kBPFFeJ6YFqpSo/5x4SRX8Qto9L/5QJ6csz557Ly7V19mW8MQ9k/C1rUl5btiUexpkfR8YtjBnjAWy+UH7iTQRtr0fUGGuo2hLHCorb/lTsypUhXFj/m27UgKrzMGenYYszSnvc77geD10lGzpfTQBaLqElEwZErsMVi6CSQvSFeZGAQBHyRKYKdmwpJqAqXMDFV0izziYtGDPzUDOTMIqOl76oVGw4UUAB2YrFiaLFeyeLGK6aGE4p0GKAsZyOhbmdTCrCGtyP8p7dqM8PQuua8gvHlflmEMAA8pCYv9cBXtnVPk5XcOSggExpEPnOgwmIYozKFfmUBE25gBI3YQ0hyH1PIRuQshpT5TmTBOmxmFqHJqmwTB0mPwQDHMKsjCOosWxb1bgkakSJksVzBQtzJVtFEwNhy8o4NglI1g6pINZZfC5SVhP7oI8NAVpVQCugQ+PQlu4DDByAIZhSaBoSVjC9W44w8lQnnLm83YxZ8Kr7Yh4W0rYYt67IlxfMXPsq+Pt8ow544DUvJSVYNwpQzp55KXn6dIg58fx/B2bg4QJd8zbNZKWr3N1DS93OgoN8Awus+dz2kMwJ0aWe54gz4g7xwe4njTpZOyZv/WbzRtgbrxkWLDg6RL7QZk/85nPxD/8wz/gne98J173utdh06ZNeO5zn5t0swaSu4vDGDPy0CwbbPoQ5P5d3j3PNQ26xmFqmvMc29BFGXppBrpdBuccvDAKOSZQ4QVMFwUemy5h/5yFihAYMjQszBtYOZaDqTGMVorgswdgPb4T9uR+Ndo4NApt8QqwhRNAbhgCKixxsiRQEQIaZ2ryPtNgSgluK3HPKkX3DVuJe11l5yrbzuR9qUIiDSf/rubYMWaVwSqzym4AXuihK8znyxCwHQGZ0/h8fLAUKpGAawsBNfJr5FUoo2Nv3MxewLxQ1JywRK8fdNugqZEHNYLsLug3nxjAteNqzhHz2lDllHDKcB0S7poerjPCP+ogpXrJ8sppJIKhRLRrz6u8/0Kq86mGJ6tHIYC6NMQCvM6mSwkIZyTBjT50HS3Mmm+T5xRx+hm1+N58PzMfyqLapHmjoR2UB8yXJ+dfxgB4fWhYsIA2vw90eej2fjCFuZ5H0RI4WKzgwFwFBw6VoXGGIVO9hRsawA7NQkw9BTEzCVkpg+cFYFUAcFhMQ8mycagsMGvZyOtcGRNAPSTlORWSUimDGaZ6k8wNgyOHsiUwU7FRsmwUdQ06Yxg2uJc9RZaKKE/NoHJoDgCgjYyDLSqDGQxlW+JgsYLHJ+eUMDc15HSOpSMm7FETsjgLe3I/Du3eh+KBaXBdg12uYGR4DMbSCiCBki2x/1AZjzw1ByElxgoGAGAkpysDKcpg5Vlg9iBkuQxwDj40AqGZkEZBTZi1oGIbwSBkGRYDilZxPq6SMWXAjQIqXEfFApYzhglNBy/oyI8bMA0GwYs4NFnBAZYHKx0E37kD1s4/ojI9C2kLMI0jt2AUuTVHQy+MAYxjzpKYKdsoCxVLqHOo8++GXftj1BkHN4fBmV7VoamOQA1BS00ZOkPjXspKL66ecUAz1XV1PPb+OFNXmOsAwJn61xXldrnK886cSVhM1zwj6feIeBNinfhIwylLTT6uVKfR1BzvDlcjOLZQIxOW7Rry+UlHHG6nyeaNuOOJY155htPBhG+oB5VPf/rTuOKKK/A///M/+OpXv4oXvvCFOProo/HWt74Vf/3Xf43ly5cn3cTBYXIPpCyibBYgcyMo52zMWep5cUWhqSlxbDAJ7opiIZQt06ch9acgNBNFW0ITEkvBAM6hcQ5zTsOhGQ3SNHBAVKAzHdrIGuhDK6FXZoGZA+D79sGoSMDWMVfSsK8o8cen5lCyJfKmgYnRAozxHEZMHcwqgRenwYrT6rlnHCI3DJEfhyWAmbJQ2blsCY0DpsYxLAGDc5jCUjH1B/dAVirKfg+PQUihBDqUc2a2Ul3GWA7QOEcBzmhxeU6Je6uizoGh8i9LzYTNdBStamGvc4Y8nDhxKby0vV6su61DmnC8/tKbe6SEonQygwEAQ16D6kessmqLsJwQSksdg+d5l44tdhwsULbYe1lxXhD8zhZoRt3ogStY3dFVxlSYqfuCUC1+nVFQZxSCMa76OlT3C257NK4cRlWjln6bzvh82xgHpOE4gOZfftx2aVwpX1vCG5n1js+eD/90+wfmrH+inFLwzpVr5ithC3MEs/n90E2Ebe8HUpgLwxXmFvZPl3BgtoKCoaFiC7W4kLDAy4dQmT4AMfWUepPmXD1cmo6yDcxZEk8Vy5itCIwYGgq6emNmtgWUZ2Ef3A9ZngMzTGicg+VGoOXyKAuJQyULUyULOcOGzhgWFnTInPKsS9tC5dAcSpOHAAD6wkkYlSJYQRmR2ZKNA4fKmDtkYc7kGMkbmK0ICAHIShnlyRnMPnEQs/vmwHUGbmgYXjEFJi1YUuJQ2cK+uQoeeeoQbAEsGclhOKejbAs1hFouArMHYT/1pNd+CAEUFkJyDSVLhabYzkRFCQbd4IBdAcqHwCtz6gVDMyHzozAK4yiB41DJxnS5hNmKDcuWyOscIzkdQwaDNqVjT2kazF4AHPZMGLqucsAXRqDnh2AyCXO6CM5nsUdIPOlkphkv5DCeV8Ynp2neEDKzisqYcx2C62CGDlsCc5bAXEWgaAlojCFvcAwbHBrjyGtMifrSIbDyIUghwDmHNApAHl6n5qaaLDoeK40xmHCEteZ4i+yyM4m34nneBeDzYMyX4xpKxgDD731izvCkL+7e7RA874+wVHgPAMuWKPsMr8ZUp8B8k9MgbGeCbdHxAAlA0+fLS0mMeT8YagDQdR2vfe1r8drXvhZPPPEErrnmGvzzP/8z/r//7//DOeecg3e961148YtfnHQz+x7xxC7Y1hy0hcsg9BwqNhw7oMS5rjHkdQYGDaYmlCh15+pAjTbK/Cjk0CJYUjkGDjl2BACGdA3DJseIyTEq58DmJsHLh9SoHwCm5yDMAuQMg6gcRNGeRMmWKAiBAlQSgNIkw6N7OPbpGjRRgQ5bPbu6DqbnoBkViJldKAuGORvYN2dhf9GGDYbhnIlV43nYozlwNgvzwF5YO+4ESrPguQK08cXQJw4H10zYQ4swWxHYM1PG4zMllCyBnM5xzOIh6K670/H6y6l9EMVZJe5HFwKjS4DcCGyfsC9ZApwxFc5jcuR0KMdEeU69XFhFAFCjrQCgmZDcRNFSZZRtqVIJM/ViBHDAUKl/eUUlRICwlZfbyClhrJmQjrfcTR8snRFHUyrNLaSEJqWyw5U5L96/1eiBO29A42r0O+eofOaEBnl2E45XWkrldHE85vXzD5RNZ86Li0pGrhwjXkpjxgBN9WGeLWaoWrfE9WxrAp4jSWrzjhavj7CdScu6Bci8GqXw2ibrkjCU7XCF+aDHmIdp7wdTmOt5TJYs7D9Uxr6ZEqaLFjCkhJepc7DyIYjJ/RAH96G4fxJM48ibeUghIDUdRUvgwFwF+2YrmC1bEEMmFljK8wzbgjw0BTG5D/bcLDTTBNMN8KEF0IcWwRLKY+566XXOsaRsYMmQDp3pgLRhzZVRnlLCvDAzCVaeheG8chcrNkolC6W5MqwKx1OHyph1YtZlpYTy1CyKB4uYe2oOTOcwx2ZhF5XXwhLAVMnGE5NF7DtQVM5SDsxVVEyUoQGsPKuO/ak9sMtlaIUhMCMHxhgsMMxaNuYqypDldOUJzusSul0Bd/edmwEvjIAvUKurMj6Cki3xxEwZ++fKmC3byBkcC/IGVo7mMJ7ToNsWePEgxOR+lMtFlAGw/DD46CKIwjhEYRxzBx/HnCU8IVvUNeh5EzA1lJhETpZhWrPQZ/ZDq8zBNHMwjzwRcvERzjWz8MhkEVPFCnK6hoUFA8uHTWjDBkZzDLw0Azn5BKwDT6p0k7oBbeEysIUcMAqQjKFoCRzyCXyDcwybHBw1nVJ5xovzlFxX2d41HUwWPG/RnOV0TI7HyNQYhGTQuaY6BNsXd+9MwgXXwM2CiiPXDDCjgIrgKAuJucr8BFvXk8ag2gg4HYxVUtl23AnNXIM0CqqDCTGSRXn++8Xk9savf/1rbN26Fd/85jexbNkybNy4Ebt27cIrXvEKvOMd78AVV1yRdBP7msq+PbCZmgyPwjjKtsRMSeCpYhlFSyCvcywZMpHTOMAlWGVOidKppwAAfGQcbBEDy4/Btjmmyzb2zJQxVbIgpcSIoWH5SA4GNzGKCnhpBva+3bBnJgEhwPND4AuXgS1kQE7ZwumyjafmlHDP6xyjOQ1jAAwIyNkDsEszavQOgOQGZG4IYngx5oTmebqHhJooqZcZZmY5HtvHsNfJCMNG1gJDNhjXwTUTfFIDLx6EvecQBDhyjGGlZLDBUSxJPLb7IIpDOWAsh/zko8DuByB3/wmVg1Mw8ibyy1egcMzJwNAilGXOE/Yz5fnMXmsW5DFscDCrCG32AOz9uyGmD6pwntGF0JaugmUWYGtDmK0IPDlbxmTRgi2Vh3tRwQAKOgAn9e/sAYiDT0I4tpiPLlRzBIwcAGVDp0o2pkuq/xsyNAybGjTGUTDgOEjUC4Iszqh25IerRg8soezwnCVQtpz5BhpDQecoGBI5Dcpz72QpkxV1TbiRgzQtCNd+QqJkiyobbGhuiJKafwAN846R0iHIsnpp4WYe0rAgmJokLLnycJcsiaKt5jMAQE5XWb10riGngvRVCGhlFqw8N5+oITfkvAQZKgTVGU0t2kIlYXAEeckK1eA7WVmCxJiH2ozECcPeD6Qwn7MkDhYtPDFVwr7pMoQtMGxq4FylL2SlGdgHnsTckwdRPDANPW/CHC+CcQ6h5VAsCuw/VMauA3MoVmxwzrBkyISEAYgKxMwkygcOonRwBlrOwJCmQ1u0HDqUt3SmaGGfE+PNGcOSIQMrRkzkdSXupWXBmlXDZuXJGZizM9Ch3rqFBGxLolyyodkCM0ULRctWb8FCQJQrKB+yUJoqQ8tpsOYsCMsGwJXHvGRh/0wJxUNlMI1jNm9DCJUq0pC28pbv34PZvfshhUBu3AYfWwhoBuYsiemiwL65Msq2UBNlhwyMmCpTi5iZhLV/D6zJg9CHh6EJGyw3BH14BGVbYLJYwc59s5icK0PjHBPjeeicYdVoDnlhQ0zuh7XnEVjT05BCwBgbhbZkDny5DhTGURES++cszFZscKZSW85WLIwaGgrMAi9OAZU55TlgBqQwIR9+HPZjB1GWKn5vCddQsDX8cV8RD5Yllo8P4YSJBRhaPoKxJx+DeOyPmHn4EZQOzsAYzmP0qDUw1wI8N+wNAe+ZLmPfrBotyelcifvRHEZMlaaMF6eA6X2wD01DClsJ/MUrVZrN3KjnvT9YtDBZtDxhPprTsCBvwNScGBS7Al46pDqn2WlI2wYzDPChMfAxoUYloLzlcxU1wXamPN/RjeY0IG/AdMdRrTJ4aQZich9E8ZB6iTDz4MNj4JwDwgz1OQsaY94PdvqJJ57Atddei61bt+KBBx7AK1/5SnzjG9/Ahg0bvM5r48aNOPvss0mYR8zsnv0Y0jVoYwvBAJRsZcP2zpQwW7YxnNPBwTBsOi+wVhHWgSdQ2fcE5P+fvX+PkSy57zvRT8R5n3zXu6rf3fMgZ8gRyaFEURJp0eY1aeLCK98FbViypJG4I2ttA7JI2CYhg5Z3BRErcSXZwsIisSDhJYRrwpKta8iUllzJgGmZlmSKQ3JIznBePd1d3dVdXa+sfJ9zIu4fcTIr69VdlZVVmVmVXyDRnVnnRMQ5mecb3/jF7xHHOJNTOEEGkZ1CaZ9yM+ZOucGd9QZKa0oZFyHNzqcQKY/dvUl9eT3l0CyOVtiZIqT936u0WNw0wizrWMznPXxLkpUK0aygV+8Qb65BHCP8DNbENPgFIiSVSLFcaVGLjf931rWZDB0QFo7QiEYZ7t9CtxrGlSHIoXITqOwkLS/HZtMEsLaTENhSUvAtKjWLxbUE2diE2EdMPgaTpG4bPvpeE7X+EhGSlpIUhWBKWjiOxKtbqMRmeQ3WWhXczbvErz1P48YNVL1FdqZEcOUR3Dd8Hxs5h9fWmnz7fpV75RYKSTHjcq4Q8OhkyPmsjaxvEL3+AtGd60TlGnbGx5maxT53zWQp8zWVKOG7KzVWai0Srcm5NhcKPk7eJ6cxfFffIF66jtpYQccRMm92D4QTAtBIzA7I3Uqrw52hYzEVOuQ8iZAKGdWRtXWStWWTMU0liCBjjDbSNrsIwqEaKVZrEZstc18dKSj4NuCYHVlpMo/JxibJypJpC5BBxgQmWzbCy6RBxmbB0J5n2guPku/gSEGgUleduImol03Ch0YNnSRYuSKyoFCW2R1ItGWus6lYa0SdnZ6kEfX1OTvLPub95vszKswT1moJ9ysNmqnVwgRiSlwpEJUy0ep9andXaJXruPkA1SwBoGyXzVaDe9UWi2s1GrHCtSULOR+lTQ5zVdmgdm+NxsqGyVziWNiz64jJJnGijTBPFwQACwWfeqwo2r4JVowTWpUWcTOhsbpJWFlHxE2TVlFgClMkCq0EcRTTjNRW+qw4IW7GRHFiXNYSkw5QS4soNmS2Wo1o1mNsVxIlJtjGs4VZkKwsUbuzTO3uCgBCSpwkBtun0kxYqjRZqjRoxopS6OLbgpJv46NQ1U1ay8vUllZwciEZwJ2YxcmZ/Ltt//j19SZCQiOKKWWcdFERkWyuUV+6R215HZ0o/IkKWdvGmpwDIahFipvrdTZaZjux6Ducz/v4liQUMaKxiV5bIqlsoLVChjnE7GVkdoaWtik3mmy2TGrMghDMexYZ1SRaLvPSqsaqKWRwEeepaziOjdMos/H6t3Hqz5FJbBo6x0srTb62VOX2RsT9SpOs7/DUhQKhU2IisBCtGvr+LaKb3yVaW0MrhR36OHGEZTmozCStRLBaj7ix0eB+rUUrVgSOseBHica1PHBARjWS1SWS5UWSjRWSRgvLd5G5EnbcMpZzrajHkvu1FovlBhvNmFZiMvaU0viBwBZobRkLXHWNaPEV1KYZm/RDrNIMtrQQduEEn8LTjfPnz3Pt2jV++qd/mmeeeYbp6eldxzz11FN87/d+7wBGd7ZQu7dG3fdwZqpYmODxlWqL6/dr1FoxhcDBswSzWRccjapViFeXqdy6h4oTwig2or50HiU8Kq2EO+sNrt+vohLFRs4l69tczAdgxySVdap37lNZvA9aE5VqFHwXMd8ABI1Yc6/W4qW7FRKtmc15eLbFZOgYV4l6mXj5Fo27y6hWjFvI4uoEMXmJBIeVWsTiZoN7ZWPcKWUcYhUQ2L7hjVaN1uKrtMoVANxiHnvuEsL1wctRixSL5Qb3axGtOMG1La4WA6ysIGNhFgYri8Sbaya7l+NiFaaQxRm0dGjhcqfSpNww7pGuJcm7NnlfUvAsvLiGqDWQ+QX0oyWwHWpuiPayqLsVmne/SxJrrijFBS+1UitJUHVIIsl37imspIXtzuHMhSj7Nsnt1+DuKv7KOv7jguasw8srLf7D125z/V4VpTQzkxne9YZZ7PMlSn6WTKtKdPMlKs8/R/n6EnG1Tv7KPIWnqjhBHp2fp9JSvLJa46X7Ve6sN2glismMy6MzWWYzDiWZmEXCrVeI7lynuWaMRm4ugzt/Hvfqk4bT0dwuN1ncbLBSTTndtZjOeCRFCB1JwQbZqpCsLhHd+C5xxXw/djaLNTmHc16i/ALaNqL8zqZpb70ekShNKXBo5Hxc2yfnWggVIxubxMuLJMuLxOUNdKJwJqew4whp+5BJiLRNpZWwuNngzmaTajp/Oqmr1hhHR7/5/owKc81ypcnaZotWPUJYMrUcmAqYav0+taUVqnc3iapGuMdNEwgZJcbavrhW5+5qHa3gvu8YdxKM+0FcrdJY2aByp4LlWliBR1BeRcYNwKLSjGnWI1qNmHvAUqlJLVLoIDA+3UDcSlDVmNZGBVXdwI7qBE4W39lKE6W1RsXQjJI9iwWYzEsCYdto26WpFBv1iKgZk8QKaUksCaFrE1gSWV2ntbJE9fZ9qvc2sT0LJ5sx47Ec1moNbm7UeXW5ShQnzBcDsq7FXMaMWTeq1O9vUL61gpsxwaf27H3kxGXA+MdvlJtUNowbjZCwstnq+Obr8hrVO/fZvLUBgGpF+JNFnCRGCZvNVpNXV2rc22wiBcwXfHxbMuHbICJ0eYV48VXqy6uoOMErZPHdAOHnUSLLWiPmVrnR2a0oBA7zOY9zeQ83tLHrZdTaErV0C1u4AdbEOXRuClV3qL70CipWPIHmsZwmM+UQeBJhlVlZquDVQpq1W8T//cvc+/I3qN+tEoQuftZl7h1rFN7pwORlapHg+lqd//rqKi/d3SSOFcWsy6XJDE/M5wgdiwu+QNTLxIuvsP6dl6kuLhNVGzgZn3BukuIb63i5EhTOUW5qXlqp8s3FMrfWatRbCTnf5up0lnghT8EzAl02NoluvcLqV79BfXnNkHg+Q+HyPCEg5x7t63N2CgwhPeOP/uiPeNe73vXAY/L5PP/pP/2nExrR2UX1Xo18oYKOWoBkvRFxa73O9fsVms2YjaxHIXRolgyH6kbK37dXiOsxWin82fvYcQOcHPVWwr3NBpWNBkmUkMSKe7kGteksyARd2aB+b53K7U2SyBhK/OkibtQiAcpNM3+8dncTMPw9nfWIlQ9JhNpYob64xOaNuyTNCG8iT8m1cVRCLDRrtRav3KtyM40Tmi/6uLbFfNYD2+xcbt5YorpkjCvhTIm8beOU5tAaNlsxNzcavHqvwmYjJufbZGxJKbDTQKZ14qUb1G7fJao2sAOXzPwatmUjMhO0tMPN9To31+vUWgmhazFf8LlUDAhtCz9uwcYyrTvXiTfWEVJgT0wbS7VlkzgFyq2EO5tNNhpRJ+aoFLrMZh0WAoHcvIeorKDKa+ioicjPIsIclfwUqgbNmzfRTcUHFhTxnI9E4NrgJ/doLa7w3btgRVVknMd+47uQT0osoVlVirLQcPserbrPCyst/uil+/z5Syus3q0StRTZYsgjj0/zhuIbmPDrRDe+y+ZffJXVr7/Cxo0ycSMmM5Nh5nsuMi0trNIF6iLgG0tlvvb6GovLVeJI4XgWl2dz/NAjk0wEDrOuhs0VousvsPRfn6OxYr5/fzJH6bGLZBwXmZsh8WC1HvHSapWvvb7OrdUaidLMF32ePFfozHkibpCs3Kb5yrdZ+87r1FJOz12cpfSGMp4fIooLNBOXW+Umzy1u8MKd8taCzumzxZyzy/n95vszKczLzZj7lRaNaotmPcbxjNj1UleWZP0etburbN6pkDQTpC1QrRikRVNpNhoRi2s1KhsNtIK7gU29laThzy2izSq15SqbdypIW+JkHUrlVay4iSKg2oypV5q0GmblurTRYLUWcTkfIGzjP5c0ElrViMZGnbi8id2q4jo5Qs/CSn2GtYJEGX/DRGNcJmwLaZnSuNKRSEdiuTZYLlFi3GiMME9wPJvAtcm6JnhJ316mcmuZzcV1aqsN3KxDMNNECEkt1tytNHnp7iaL96qoWFFtJUznPZqJ2RY0wnyd8o0yduBguQ7BxXtYUR1b+MY/vhHTqDaN+4wt2ahHJn1h3KJVrlC9u0llyVgShCXIbVYJVEKkjKvGd+9usr7ewJKSZpQwk/dNJdW4RbK6RPn6bco37pE0E8KpLDMzc1hTF1FOxpDd3QrX71eIE00x4/CG+TyhbVHybNzNVVo3X6Jy8x5xo4UT+mTOTeFefAy54KOdAuuNhFubDTbSbcCC7zCXdZkKHCpRmXplDTn3RvT/cAUPkyasHhZ4vTCHbYdYry/yWjnhS9+6x5f/2yL3vvsc0vHILTzGS3OTvPboJO5bFnhjJiS68TJ3/stf8Pp/+i43r29QjhQZW3LpYo6L715jIcghJy7z4j3F//2NRb7znWXWl5aJG1XcXImXz0+y8qZZJjzJ+UwOce8Wy3/253zr//vnLN6rESnNrG+z8JYZLr63hv3O/lnM09TIvZ07wux+7949ZmZm9iXpOI75i7/4C77v+77vhEd2dlFfrRFt1kxWLSlZb8TcWquxvlInaiZELcXdnE9jLgEsdLNOY22Typ0qzXITIQX5i2s4URPpCOpxwma1Ra3cIG4laG3EciNOEHZCXKlSu19h804FFSUISxBt1tFxjNKwns4fG/frnTo36zNZkwSGiLi8RuXWMmuvrhLVY7KzLbxChkISE0nNWiPi+v0qG/eNpTiOYqayHvUpY0RR1U02b9xl40bZ+BfXWriFDM7lOlrDeiPm5kqN1+9UaDYiVnybi5MhVybS4kvlNaq37rD20iKN9SZ+3iVpRhRL04iZK7SU5tWVGt++vUGjHmO7Fo/M5ggci9mMC3GD5P5tNl96jeqd+yAE2XNr5AArN0Vs51mutPjucoXr96vUWgk53+HqdAYpsiwELrK+QevGi9Ru3qG1WTNzyUwJ78IVxHkbnQkptxK+eXeT+5UWSmnyocO5nM/Foo+TsbGaddTqLer3b6Nrm8bfvzSNNX0OnZO01H2cRsL3T8MbcnliletU/y54FtXF1/i2iJGtLOIN34949G24CDzHQ/oZVhyfNT9DcnudlcYqf/71W/zF15dYfulb1NfuYgdZXrr6Pbz+tisUfvgRZhZcxPN/zuIf/gkv/seXeL0akWi4nHG4/LY7XE0SCjOXqdrTfOfuBv+//36T17+zzNria2iV8OrcFa4/OokrFecyFhNRmeYLX+PV//jfuPkni1wvN2kpzRPzN7n0l5a56GWwp6+xFlv8+fVlvvgXt7n9yjKVu9cR0iIoTPb1OZM9urKMciG64+L7MynM71eMG0pts0Wj1kJIDykEGc8mlAmVm3dYv77B/aWKyS/tWSTNCGHZNGPFrfUG6/drrN+5B4Ab2Kw3zHaTjlrUV8ps3Nxkca1hUiZ5FqVHVyk2a0BgcnlXWjTWV2k1iixmHe5WCjSSkEwQIqQkaSXUNhq4S1Xq99YIqmuEMwvkfAfblUgpSZRCJ4pGlJjIbddHug6Wa+H4Nm7Gwc16iEwe7WUor8ds1CNazRilNJYtKIQOMxkXr7lBfPMlVl9cZOW7a5SjhIm8R/FSEyyHjUbCt5c2eeW1NdbuLKOVolaZ5qWcx5tmcuBYxLU6ldubXL9dwUuf0NylRXKPbuDZJsA0asY0y2uoJKLmzrNRN4GpulWjfn+DzcVNlu7VTHEGzyKum0JJ1Ujx+nqd2zc2qKysI12POMpzYTJDPJdFRHWatxe599wNll5apak0E3mP3OU5cpefJLZLLG7U+fbrayzf2iBuVLiXL7JRiymFLpeKHvHyLe599UXuf3uZ+moDJ+sw9dgEc9+fEEzME8k8r67X+PJLy9xZqtBqxmSLPm+6WOL7L0+QdQMyjQqtF77K+guvUbu3jlIavxgy9dYncB95M/HMo8R1eHMhZvKdBTbe8oMopcn6NoXAYiqsEqzd4BsvWFhRBt76fYQXzvNoZZ2kFSMdC5ktsD4xy4Yukrz4Kl4D/spUxJvf5lBuTJPo6TSgTDKX2aB1p8bz6zb2ZgTX3kz+2ZBMpYJWGtv30IVJbk0vULnX363N3oM/R1eZz8/Pc+fOHWZmZgB485vfzBe+8AUuXLgAwMrKCu985ztJkuRBzYzRR5RXGzTWmyYw33a5U65zZ6nCyq27RI0KmYl5buZcyq0SCBtVq1BdWuf+jQ1WWgkXY0XuwjJhbQOZuUAzVtSrEdXVVeJGhSSZY7mcoRYpcGKaG0aU31lrmF3UO1WaGxXQJtj7fq3Fnfs11m8vIoQFzHF3o2kC9uImjaUlVr57n5uvrVNLFOdWG/ilgELSJAZurNRZXaqwfnuRJIloVM/xStbjrecKiKwk2bjPyndXublURQHnyi38yRzZN5VJNNyvRbxyu8zdm6u0yiu42RKvzGR481we4cckK0usfOcmd752l5VmQsmVzNVishdmcK/G1BPF119f4+6NdRrrq9iZPI1axFTO5fGpENFqUL/xOnf++6vce2UdgJlrG1xwHQoX30Dsam6U6/y37y6zfGuTVrWCm8ly+0Iez5F8z6RDfO8W97/6bZa+tkh1uYbtSEpXi8y/o0q+NEMSznFjo8Effu02G/drJLEizLlculDghx+foeRnCRtlai88x/JfvMj69Q2SVkLxapGZtzxC5m3vRGamuFeJ+NOb63z9xjq1svH5D/M+bz5f4ANvmCbwErj3GvUXv8H6K4s01ipIKfCnCuQvz+M/+ib0wuM0yfDkhCDzVIH7V99Oooyr58XJkEtFl2DzLi+/prCCc6gffCfzV+eZqRvLtR366NIM12cvoG+u0Fj+FsVazP+w0OJeMWCj/ihKa3K+w1SYcK6xxOJL99lQFaz8ZeK/bDH1tnsUK2kmt2KBysQcLzizJC+9Tlnf4VEVk3lEsXYuT6X5BACOavHrv93HB63HAkOjbIk5Lr4fOWH+f/wf/we/+qu/ytLSEt/zPd/Db/7mbx56NVKNExr1mFYjImnW0aG7lcUibtJY26R2v8b9prmZE9XIBFAKQaQ0G7WIerVFY+MeQlg0a9PUmokJtIlj4mqdaqXFctNU15xZbdDcqCLiRhq8mRA16jQra2idUK9kKDdjmokmk0aca6WpJZqwGtHcqKBrRuxmbInnWkhLotJiB+30e8K2sTwHy7ONC41rYQce0g/RlkMjbtCMEpPcQwosx6IYOGQcC9nYpLK8SvVelbuNmFqsyNbMdQvbptKKWVyvU76/SWXpOlonSMthaT1HLUrAFahWRKPcZLkZmzSQdyo07m+Qj+rYrqlMpxXEcQPVapLECY1IIYRAt1omTWS5yUaUmEj/aoROU/q1Es29jQaVlXWqy69juQFB5lEqjRi0KapRv79BeXGT16oRdWWqsl5ZKZNXEUrBaqXF5mqdytJrtCrrRBOzhDmXjXpkiv5UNqjc3uTG7QrLrYRMtYVlSwpX1wjjJrE2LlB3lirce32JVmWdytR5pJRcm86QTAboRoXN67dZ+tot7t/YoJ5oU/zJtpnOFhATF2kpl9fX6vzZqyus36+ZQF5bkC36PH6uyPdeKnIum0FUVqh/9xusfec6GzfXiSotnNAhu5Bj4g2XCJ+0ENkp7lY0X1vc4Plb62yuN0hihe3ZTE+GfM/FIk/PF5gMQFZXabzyTW7/yfNU71bRCrycS+HqNBNPrCEuvql/D+pRCgz1gH7wQj/QXVkW4Pr160RR9MBjxngwjvrdbkaKpGW4XEuH+5vrVMtN6mtLRNVNLMuhXi2YXc+0uFyr3GKllbDcTChtNmltVNCNGlZaTThuxcSNCq3KOrafJWpMkCSmNkBcbxFVI8pxQqRgsh6hWqlLpIJyLaK22aS+dhdp2TSKE9SjtNJx3KK1UaV2v8bthhHBjhBMrdURKiERmnK9RW2zQW3lDiqOsG2fzWo+DeqTqFaDymqd26kPeGAJZjeq6KiFShMA1Dab1JZv0thYxqtXWKvO0YpNDYZ4c5PqUpXXqxHLrZhybJG7V6VVruJqTa2VUN1osLl0g/raEm6Yxw+fZLXSMlZ/FdG4v0H5xiYvVYzhxbteZuqJMvm4SaI1y+Um5ZUGG7deprm5gpebxAveyHK5CVqjqhts3lzj1uImN+oRnpQ8Ea+RO7dMrlpGTWlW6y1Wlyqs3XiJpFUnnFjAdizuny+gdBbdqFC5dY9737rPq3erVGLFE+UmXi4guLaCWtCsNiK+vbjBndfWqNy7CUAwsUASJ/zglRLnXEWyssT9519l6bkllleNeJ8qLDP3PWXmMxns6cu0ZMhztzZ48bU1NldrxFGMH3q8MJflHY9OkXUmmHQFemOZ6gvPc+u/vEj9fs30NxVSemSayTdv4DyRIXKKLG42+e831vnWzXUq6w201oRZn0fO53n7pRLZmQy5qEF062U2vvEt1l66Q/VeFRUpipcLTLzxIrk3K0Rmglpi893VKv/9+io3lyo0quY7cZz+GgckJ2sxHwbOPy6+P7Qw/8mf/Ek+9KEP8e53v/vQnR0Vn//85/nwhz/Mb/3Wb/GOd7yD3/iN3+B973sfL774YmfFchBUmzFxKyFuNVBRE93ORy0FIqrTKlepVFusRwpHCpJmgo5jQJIoqDQjmtUGrco60nZoNWJqrcQk7teKpBlRiVVHYG40jVg3Po6gEk3SqBPVywC0GjHlekSkFML1kFKg0qqiUTUirjVQ9QqOJXBsiWPLzhZou5xwrBTCso1ft2fhhDZO6GAHHsILSIRNK9Y0YmVcR6TAsiWBa+HZAiqb1FfK1JbrrLSM60g9MRZ5YTuUU//w2soiUc34gNfXlqhV56hFCVpaqCQhbsSspZPMXCOmsV5BVTdxcqkw19ps6UZNkihCdaJWI+J6k3ozoZpobKFRkUIrjRY2LWW2i+trSzTLK0jHo1G7RKWZFlVITA73lc0Wy2lwy+1GbIoVxRFKa8qNmFp5k/rqbfM7WL5Fbe4i5VSYt8pVKveq3KhH1BLFCjB1v8b8ehkdNVEa7m402Vips3HzBVTUJG5UyBbfwmrN9KFqm1Tv3Gfx+jrf3DAWM68iyL+wRPGRO3hRg2Zsc2O1xt2bZVauv0SzvIrlemRnr5DEmrmiz/cvZFAbK6y/dJPFP7/Fa/dqlGNFIAXXbmyA1nhz88hzb2C5GvP1G+vceW2V8u3XSFp1nGyR6sJFXEtwpRRwBZdkY4X1l25x/U9v83otItYw7VpcXqtj+y7e1MWen829cFL28n7xwklh1NJIjjrnV2JFnBpZsGzKjZhGpU5j4z6ohGZ5hWbjIs2Ui3Qc0Ur5vxwnrEUWzXLTpKNLg++TWBM3a+bVqJige60BRdKKaNUiKrHJ0d1UOs2MZbh6sxHTqse0KmsIyyFq1GlEcVrgLSGqNShXW6ykPLbSSmimgjVWmmorIaqsd3i4sXmfVv0Crbahphmx0jJjB1hrGbdIHccooNZKaNYjGhvLqKhJY2OZRt2IeKE1UbVO7X6Nu82YSGuWGjHXVhvEtQagTHaqzRbV+7dAJTQ2lqlvVig3YhQmbW9jvcJSLerMBbfrEedXy+iW4dHVaovqeqXDxfXV21TWFlitTpn7VKlQWapwvWa4uILitYpg5n4F3TK8ulaNKC/d6LTRqpUJJ6ZYqbTM7nWzTm1plZvLNV6rmbn3pfUGhZvrzFSNf/dmI2b1fo31179DY2PZ3M+NZfzwe6m0EnPP11dYf22db92pcDedb/K1iO+1JYVrdyk82SCyNdfvbHLvldfZuPmC+am5IY3a9/DNwOENM1muFXySjfusv3SLb33zHrfSeWd+cZM3rDfwChlK16okOc1ypcXzN9a4/fJdNm+/gkoistOXiKPzzOQ9Hp8MIWkSLd3m3jdu8vK3lrlRj4iU5s33qiSRIpyfxr74JM1E88q9Ci+/usry9evU798BwC9OHPApPBhO0sd8lDi/F74/9GJlY2OD9773vTz66KP88i//MouLi4futFf82q/9Gs8++yw/9VM/xRNPPMFv/dZvEYYhn/nMZw7VTq2VEEcJSauJSoyPs5QC2xKQtIhrLSqxEab1RBHFSUdAxspYDOJmzQizeoU4iogSZUq8q4SklVBPTEXHSGvqiSaut1Jxb4g9jhvEzTpxo0qrEVNtJiQKhGWDlGhtCD1Ks6zoZgOpYlxL4tsSKbe2jZTWplKwZWN5LrZnIW0rtZo7CMsm1pqWUkSxEbsgsKQkdC08S6KrZVrlKhvNmHKUUIkTGok2x1o2tSihUYtopoGRAM3NFVr1NP2SkOg4Ia5tlaHfiBJalSa6VceSolPyWasErRVaJ2mqQNBJjI4TmumCoKWMMAdASpqxYqMW0aqsm2uOmkS1MlE6+eioRVRtsNbasgKU44So2oDYEGC1GRNVy52/6ySiWatSbSapL2aDykaTWruuPXCvkdAqG//QRBtrVWN9BZXms22WV6iVm0bcg5kMlqvcqEWd0sxNpdm4Xqa5ZvwcG7Fiab1O+e4davdvkbRqtCprrF3/Juv3qtzbMFaZpGKsRq/dMxPLSivmViPihbUGGzc2SDbXQGtWaxEb96usv/4Ctfu3aJZXqNx+hbXbN7i7aqrEAqjaJpXbq3x9o8HdZsxKK+aFSpPFm5vU7q6i65VDPUcPgvExFz29Dsvu/eKFMfbGqHN+S2l0+kxrIY1hpl7plJuP6lXi1B1QC8O9STOhnp5TjhRRPUa3mli0OUyjopYxMLSaxLGpgonWqCimmSiaSlGLleHRtK0ETTNWtJqpC18SGSNNu9iLTkjqTSrxlpWtHCdEdVM8RmlNo5UQNbae1bixNX60Im62qMRbPLgZK+K6KUSDhlozptWIOxymk8gkG0irWsb1FtWGEeUACihHCUkqSmOlaNUbnfsH0Kyssdkw7es4plVpbuPi9UjRqkaQGB7dbMQ0Nu9v+55MG6bCcVStU1trbOPiu82YxnoD1axDmna4vnp3qwGVUFtfZT0VvLrVoLHe4HZXWsDbjZj6/Rq6Ydw+ys2YWrnZEeUAcb1CZXXVuCZpTVSpsbm42RHl7e/kzv0a9ZUNSGJasWZzrcHG4kudY5JWjfLNF1hbqXU4WFc22LixwSvVlpnfteZGPeLW4iaVxfvoehWlYLnSZON+nbXXvkmrskZcr7B+41us3q1wZ6NhdsjjiNq9NdZeXuPbm00qsaKpNF/faLJ+fYPGyhooRS0yu93rS/ep3H6FpFUjadWo3HmNfkL0yPe9CNfTzvmHFua/93u/x+LiIv/z//w/8/nPf57Lly/z1/7aX+N3fud3dpnw+4lWq8VXv/pV3vve93Y+k1Ly3ve+l6985St7ntNsNimXy9teAFGiSBJlcm/rLfKw0/K4cTPpPDRRu5qiMqXVlYIoVh1Sg5Rc29sVWqO6ygQDNBKFipUhRoww13EMKkHFxl2jGafE2PUjTdL+VazQianUaAuBlObVDUNfEpFGYEhHmIwsljCFBnQ6maTZXMBkRXEsiSUEOmoRNyJjpddmUdGZG4QkSlS6mKlt9RmZCSlWW+PWXdddTzRJI0G3WiYwRLaPUeaVmEIM6U0hSau4JdqModOWkGYyiNW2/nUSpQV6TJtxK6G+IztN3EpMX5jsB3Gztu3vSaNOlP5dRWZB1Y1qYtpFmeqq1VZCK7VUtRHVa6YIhDYLjFZ1a9egjfVWukjQJm95sxnTLK9sO0YnEY3NTcopidOs01hvbJsQwExQ9bUGcbUBOs1lX422TS4AjbW7NKqtTt5a3TQTVXPHPVpqmAlPd/2m+wFTcKKHFxBF0a5nt9ncPb5eeOE4IYRgc3OTcrnMxsYGQggqlcouDholjArn78f3iq3tZC1M0HicVqQEI6CSSBGnFmedGC5qpOQUa2Px1snWc6i1RqV8rrWxrHb4SitjlFGGR1UXj2pt5h/V2votqyTayqqlEpJm1OkbzMJex8ZNxhyiSKLu8Rse1l1zULR1Ok2lSSJjDCEdj4q3P0uJSo076bU2d9SeaSa6Y1iKld6bR+M0bW8SkzQSql3XUIlTYa9MkoQoUWZx1IW4XqGZ8qaOtxZGbURamwWKMv004u3zEUDc6G7D1PSo7Cik06q0UOnudTNKOoukbX3VykYjAHG9yXprt9vHSishqtTT6pqaZr21bbFi+lqjUYu7coc3qK81drV1t5kasdId/M1GTG2zvk1nADQ3ltlIjT5Cx7Q2ayw3ts8PkdZsrnftcCSaSi2ivra0q99+ome+F6CUOhDfw3Bx/nHxfU/uPdPT03z4wx/m61//On/6p3/KI488wo//+I+zsLDAz//8z/PSSy89vJFD4v79+yRJwuzs7LbPZ2dnWVra+wf3iU98gkKh0Hm1HfLb0HpvHyvdJc46gnsH1I5zVZfY0WmZ4YNA6y1rfLde6h6DTg7Yltj+dQopEFKClKgHNCEEaXlfjdrnmETvXbFdq+0+VGrH/dKqXZ/4AQPf8bf9xqrVPm2DKS+/R/+729h9Ee37r7vKFbeR6N33f2cbWnelq1Sqs23djfbizowxvd1JvOs4M0mrTltab1/kdY6LFCoNKDE7JntcVxxt+12iE1S0u61Ya1SU7H/je4RIt8YP+wL4whe+sO3ZLRQKfOITn9jVRy+8cJzQWvPYY49RKpWYmJigUqnw1re+lVKpRKlU4vHHHz/xMfUDo8D5+/H9npywx/OyH7o5YE/j3gHa6uaunY+Z6poD2ly665ik/fkeaXF3ELNO1L48DkaE6+TBY95r3tvGJQe45kQ/4JqV3t2GUp3rM1y8R6Nd56k9+EortWMu3j3O7ttlvtvdi0sVR7RZXCe754XONaXuS0prkn0qaapE0T0j7DWfR107xLrd9l6cnu4yd4ajVWdnoxux1tv6UUptW1geB3rle6E1169fPxDfw3Bx/nHx/ZGCP+/cucOXvvQlvvSlL2FZFh/4wAf45je/yRNPPMGv/Mqv8PM///NHaf7I+NjHPsaHP/zhzvtyucyFCxewUjcQISxkVx1yhQZhUgy2DdJO6oIh5JbolVJgWU7nvRDWNgu2sAR2F4Nb7ZJY0uqc325P2g5W6poiJbSfOGEJrHSrx3KMuEYIFMYiv5OUJCB06qaizEOp22JQqX2DMpJ0exTLBIzaYnubAGiFLYUZvrS2rALSQlpsu1bZ9X9HgnQshCXpXqcIKc0rzaOOBqS5B+aaQe5Q61IIpCURltMhUmk55ny2znd3XGj39yKlwHK9bX8Xto1jmd6kbeFb28/35Nb9lyLdYdjRhuX4OJYx9QrLxg5sHCG2EWbWFliuY35fAixbYvsZWpW1bW3ZQRYvzVWP62IHNnnH6vibAoSWxM042J7JH+/ZEse1t90bADfM47iWcdEyA8XN7H7kc7bEzbpg9TMWfJ+V3IFO1XzgAx/gc5/73LaPPc/b54ThwWnPSz7MnL8f33dzkkjdFmU3f1uOibnpPk6Y9+0KjpZjpS6GdB2TPqcpN2/9wZBS+3zzUTdHYjgxhWU5HZ4SQiAsidN9PBgOgs7Wf6dvQFr29u4tuZ3HRVrPoj0uKZD21vW3j9kavtjWf/vv0rY6Y5DO9mdR2lvX0J5DPSlppnOFZ22fQx1b7m7D8bDT+yIdq5PZqxuWa23j4m3zEWA5Hk46ToSF5VtI2LZQsTzLJBwAHEtgu/6ufmwvxE77N9W7d48la0vD6UikELj+HvwpLRzP6rQlbQsn2H1c3pbYgW2qfwK+I7H34DvHzxK6Vvp9SaTrkrV321ezrkkE0R6b7dg4YX7XLm1foXvkfK25fPkyzz333LaPzzLfH3omjqKI//Af/gOf/exn+eIXv8hTTz3FP/yH/5Af/dEfJZ/PA/Dv//2/56d/+qf7StJTU1NYlsXdu3e3fX737l3m5ub2PMfzvD2/XM+SWI6FdLyO1VylAZTYDk5gE1qS0JLYwpCUlAKhFbYl8B2J5Zrc3cJysBwHp006QiBtid9FvIElsD27I3wEZmKQjofleFi2JHQsMzF0kYwUZqzSlgjHRUubWDVIutxRzHGpqE8SVGKsLyoyAU9JMzaliSVYlsS2ZOrTZcR9MzJ50IWfwcn6ZG1J1pZEykxIQpox+Z7E8x28bLHzcLthHtezcWwJWhuh7W1NGFnbws04CNcn3rGYEEJum1yEtJCOhSPBk2Ziku3ZRSW4tiTr2zhBtiNmLT/AsQxJC9vGDhyytuRuugPmCIEdOAjbkF3GtbD97Lbfgu1n8VJiszyHrLv9kSi5lmlDGoLL+TZefpLKUuqfJy38bEAuJWXhevhFn3nf5kZ9SyQXSgFOLgBh4VqCUs4lnL5Afe1uR0z7pVlypZCprPnNCj9DdibDlXCNSup/L4HLoUN2PoudzYC0KGVcMkWf/MI14+OoEiw3JDt3lTDvE6RCXwY5wpks532HW6nfZdaWXMq4+JM5ZBDSN2g6W++9nOw4TodPHoReeOE48Zf+0l868T6PG6PC+fvyvewOwNJkXAvLCzp/t70Q25EdA4OwJJYjCSxJFCcEUmC5FsKy0amFQVoSadupccLBslKuTIW1l4pbqY1xxxgnjIHEs61tYlA6nhGZkBpIHIIuIZhN44W0MBzkOBLL3zF+1zbjF2ZcYdf8k7EkdipoEW3R5267R5ZjmTlECMODO8Re1pYdYW4LgbODKxw/i982aEmJE9jkbdkJQM3bEie0wXKQQhC6Fm5YoMatThtuWCDjmj4s1yEMHVjbSuFaciycrNspwhe6Fn5uYpsLn5stETiWcZFwXbycx7Rnd9wBQ0viFzyEH6CBrG/jZ7xdRo2gNIOb3i8n45Mv+sj1xjaBP+dbuIUs2rJxLUmQ9fDyk9vEb3buMpmCRza9LhFkycxkCF9Z6/jPO0JwJesSTOURXoAlBcWMS7boE06dp3b/VufaclOTTGU9LGFqZPilHDPTIaWuQNsF3yY7n8UtZEEIfFsyW/C5M3Oe2srtjnuM5Ybs7TPQGwSqR87XSCkPxPcwXJx/XHx/aGE+Pz+PUoq//bf/Nn/2Z3/GW97yll3HvOc976FYLPZheFtwXZenn36aP/qjP+JHfuRHALM980d/9Ef8g3/wDw7Vlu/ZOK6FdI0wF0KQaE2sQNsObj4g70gyqeiz2xZrFJYwlTLdTAYnLCBtG9u1DClhrOK2ZxNYgjA9P2tL7MBFuB5EIG2wvAAnyOKEeVzfJufbONL4eqNMCkFPCizPwsn4SC+gBbQSTSNSZnGaivN2YKVOYlTL+PclrQTZjElaETpqYgOuJYx1WAqzVRglJkI/0cgwj5vPki14FOsxTaXNhGZJdBKTdW38rItfmO4Qj1+YxgsdfFsiVARC4AS2GbcQFB2Jmw8QQYZYa6KUiKTtGEt+KnaVpmtCkgSWwBECmQpKoRIcaXKu+4Vp4mYN2wtx/LBjXRaOh1vIMuNZ3KoLmkoz7Vk4udBkq5GQ9R38fNEQUquGl58kyHrkfBshBE7Gx5/wmU2DI7O2ZNa3cQtZhOMiJUxkXLKlArWJBZqbK2RnLpEt+JQyLhYC4WfIzBW5OrFCvKKpxGYck4+W8GenDZnaFvOFgDtzeeDtRJU1I6Qni8wu5DlfNJO2lSuRvzLHwmqD8NV1aq2YwLbIX8hRvDaLLM6AkJQCh8sLeeLWRfzCFHGrgeOHFGcyPDqbpeinlT+zBfKX5nji8n0W7lZNbtycx8QjJfKX5tBhrufnc1DoJy+MsTdGnfNdKbH8lCeSmKzv4GXz2EGWuF7BzRY7BgahFdJqL/IF9USQd0yROOF4HWEmLYG0PWwvwPZCY6VuW1hdB8e2CNKK0l4qeMFY0XO+jesbw4y0HSwvxE2FuBY2Tsan5BqLcVNpI2qzruFLBIFr4waFjrXYzRZx3dRAAkjXIe/IjqW44FjYoYOwHSQQuBau7+BmS7QqazhhweysSSPsLd/Fz3uUyk3WooSsLclkXezAAySuLfFCt3O+dDy8fIms75hdQ9fDzQfM+FbHADDt2XiFEGEbLi4ELn5xEmvJcLHlhvjFSfKBC0Jihz7hVMhsmh0GYN63CSd8hBcgBRRCh3DqAs3KOjqJ8AvTZCeyTGSM+BduQDiV5VLosBkraoniWsYlt5BFBjkUxrKcK/kUzj1G+c7LaKXIzF4kP5Uh61kgNE6hQPFSgSdXG7xei1BozvsO049MkJmbQFsOjoSpmQyVy0+yufQ6SdPML6Xz57g0m+twsJUvUXpkhrd/d5V7NXNvZkKH6SenyF+cRfhZpIDpjMv5czmi5uNsFmZMVpbJSSbnc5yfCHEsgbZdwvlppp+c5q2xYnnVGO3Oz2eZeuM0zsQU2rIJtOTyVMji+TzwDhrr6fydy3LrO//uUM/kMOAscP6hhfmv//qv88EPfhDf373900axWOS11/ob8Qvw4Q9/mJ/8yZ/k7W9/O9/3fd/Hb/zGb1CtVvmpn/qpQ7WTS4W567m0UhGcKGjFCm37uPksYclnMk2x5WZdYy3QGscSFAIHL3Dx8hMgJa5vE7pmlY5lY4c+Bc+mmObzzmRdnGwGYTsQgWVbWF5oRHmmhBe65EMH1zLCXCmNtAShJXAzDk7GRwQ5WjHUooRmpFCJRqutalu2kBBHJM2IpJUQtxKkI0nqTVSzjkgifDtdQKSTQBKbwMF6rFB+nnDG5EedWW9QiTWha5sJJYnJuzZzxYDl6VniZh2tEsLJWSbyHqFtgW5iOTZOxmXStfCkJFf08Yp58LLESpMobSK3LQdczPaabbIgCMfFCjyTV7uZIAHbs4wVSid4tmA25xFOzqKSCNsNCbIOOc8GAdpy8QoZcjMZLrVMNoSFwMYrZMBysYT53sKcR27uCq3aBn5hhmzRJx86SAlOPkf+fI5HlmsUHIu8LShczhPOFMFysYVgruBTnA6Jo0dp1i+RK4Wcm8tSChzzXYRZcudnmHlzGf9mmaSZEEwETD55CXv6PMr2cWLB5akMtVbCnVJAK57Gdy1m8z6PzmY5lzPPlixMk3v8MezAY+KxdZJ6E+k5BJMFwovnsafniaXDQtbhrReLlEKHe+UGjVgRuhbnSiHXpjKU2tb8/CSZRx/hUjNibr2MTjROLiQzN4F38Rr1oM/CvGeL+eHQL144Kj70oQ/xG7/xG+RyB7uPf+/v/T3+l//lf2FqauqYR3Y0jDrn55wta6/QCaWMS5B18UuzxH4GLzeJGxirJ1qD6+LlXIqORaJh0rPxiyHCz2DsCQLbljhBFq0TbD+L4xphroUxMDgZh3ylRaQMj9qpMLOlIOvbxqBRmEZICz/0CDy7M384uZCw5DNbi6gnmjnfwi96RrBaRtj7uRxBcTYVpDNb4wds36MY2Mw1bRIN056FXwjAshGY/oOMQzixgLTMDmA2dHAtiZYWbj5DZjpk/n4NVwpKjkU4FeDmQhAC1xKEeY9w6jzScY2lu+AzERqeFbaDV8wzORVyLfWbnpkO8Uo5YxFGUMo45CYCGgvXaFXWjDV4ImAq55pd52yR/Lksjy1ukrUljhCcn88Szk0g/AwCQSl0Kc5NAG9GRU384iSFyZDprIeUIIOQzMIUc4+u4byyRj1RzF0qkr88i8wWkAiKvs3F2SyN2rlO+sBswefiQo68Z4NIsCZmmHh8gWtRwtw9E2yamQmZfOI87vx5sD1sKXjz+QJKacozGXSi8EKHizNZ3nK+wGRgg9bI0gzFN17jSpxwftO05Ray5M5P4195FOWFWEKwkPP43iuTlEKPe5sFEqWZyLhcnclyseDjWRK0jz1/mZm3twimSyyslVFxQmZ+itzlBey5iyjLIUDy6FSG5LFprk+EbNTMdebshFv//siP6Ba06tGV5fDnDAPnHyffH1qY//iP//hhT+kb/tbf+lssLy/z8Y9/nKWlJd7ylrfwh3/4h7uCAB6GjCPJZ1w2AhulXGRKaI1YoZwM/kSeYCpker1JrBROxjXW29RyW8q4BDkXv2S2TbzQJfBss0q3bZxMgF/0mG7GOALCqQCvmEHbPlJgLA6Bi04m8cIMQcal4NqpMG+ilULY0ljm8y5uIYvM5GglykSixwkqtT4LYfKD221RH5usMnEtRghBXG+iG1Vk0sS3bTNJ2NLk4k0UlWZMuRmjSjmcqRmy81mK96oEmy28vIvl2Og4IutJLkwE3JjKkMSX0EqRmwiZLwRkPdv4sbsOftFjwbfxLEluPkMwVUC7Pu24GMsWWF6AVB6Oa+OnVh7huLi5AL/gU9xoYgk6910nMZ4lmc565CZC4AKWLcjkfQqhg8RYD/zJAsWLeS40E+J6RGY2iz9ZRNsuUsBkziU/GZLEc8TRFEHGZX4qZCIw1m6ZK5G/OE1ci8htNHEzLsVrU/jTUyjHkO9k4PL4Qh7PtWi2EmaKPk8s5JnLetgWaDfEO3+BWSkoXjNZB7xCluCxN8HUebTt4doJl4s+E6GHZdv4rkM+8PFti9AVhLak5FsIT2BNTiGefBuqXoH2LoMfoN0Myi+ggjyP5CVz0yW+75qmHicoBbYlCGwL3xZkXUnWtZC+QE5OMf3Ym9ANMykI20b4WZSfoxz3uTjyQwJx9z/vcIf3ixeOis9//vP83M/9HE899dRDj93c3OTTn/40H//4x09gZEfDqHN+vu3XKyUkEVNZl0zepzYxT1SvERbzFLIeYerHLWwPL+8yFTj4liCYCnDzWWQQGp9zS2I7Fk4mj5ASN5PF8+zU9UFgBy5e3qO0VidS4GQcpGvcL2wpyHs2Yc4lmJhDCAs/45LzjLudtmy8Up7MTMiFtQb1RFEoBfilLFpaWMLs2oV5j9b0BVQckSlmmcq5HS4lyJCZzXK+aQIFM9Oh2fVzA4QwVuIw75OZmsIOsriBz1TWM1Z7aSoLZxdyzC/XKJWbeDmX3HwWO5cDIQgci8mJgMb8DI18Ece1yU+GzOQ9bCHQlkswU6J0tcjlNACxdLVIOFNCW4aLZ3MeMzMZdDJHsz6FF9jMzWaZzRlXJJk3u4WtakR2pY50JIWLBXIXZ5FhFiFgKnQ4d76An3FRscLPurxxIc901hhRtBsSXphnutognApQsSJ7for8tYvIwjQAE77Lk+cKeLbF/UoTS8JU1ueR6QwZV6JR2BOz5N/4KP5EnqhaR0iJV8rhzJ7Dnr9K4ob4WvLUfJ65vE89MrvwWddiJuMxnfMoBS6BrbBnL+EUJ5h6w1OgzE6AcDxkmEf5OVSQJ3Cy+DnFuZmEd1zTNNKMba5teDzjSLKOxNNZZC5EXnqEue+toBvG7UeEWfAyKD+PCgq42iZXSHj0nKYWJaaQFBA3a/zfR3s8t6MTDHv8GAbOP06+H7nKn//gH/yDI29XzGY9zpcSVtO0RbZtthxrcUIlUuTOX6D0yD1QmqgWEUz42IGH1hrflsznfc7NZEjSnOCTEwFF3za+zq5PMFUgfzFvgkhti9LVCfy5GXTql57zDTE6nk2Y87g2k2U26+GqCF03+VWdwIYJn+xMhnB2EhUUqEaKci0ijrZSY0lb4jmGsHXUJGlFxM2YKE4QdWhVI5JKBbtVI+dOUMq42J6NZUtUAuu1FveqLaqlAoULj1B87BZxM6Z2v4bjG2u9TmLyrsVj01k2Lke8mnGIE81CKeDadIbQERArrGyW7EKRuWorFbWzuOcuooMizYrCkgI3cAjTLe9M3mMy9afWTkAwXaJwYWv1mZ3P4OYyoBICR3Cu4PPopSJ3Cj6WhAsTGebz5v84Ae65y0x9T51gZgUdx3jFPN7Fa2g3xBaC83mf739kkluTIXGiKYUO16YzXCz4OBZYsxcoPdUie34GHcdYgYc9MYu9cIUkLGEJwZWST9Gfona5hGtJ8p5NxpVkHQsnicDL4j/2VrLTc1T+7Css/vF3SMotLrxjiat//b24T78Lt2bxwvV1/vDrSyzfKqOVJix4TExn+N4rE7zr6iRvn7exXnqNzW9+mbtffYG1V9dollu4GYfS1SIzTz9O/h3vQl94A//5nubLd1f4k5fus7FSI24leIHD3FyWdz8+zbtmJ7g8HeAvPkf9xT/jtd//CuVbm+hE45d8Jh6fY+Edb6b1WD+rph0h+POwypz+8MJR8ba3vY0PfOADvO1tb8O2bRzH4Y1vfCP/5J/8Ez7zmc/wJ3/yJzQaDZRSfPvb32Zubm4gfvCjhqN+t9mFLMFECLaNiFvMZn0uz+fQClqtDGHW5cpUxlhItUZmcmQWpph4pEGuHlO4WCB7YQbtZUm0JnQtgpxHbrJA3MqSyXvMFQNC1zLCeiJP/lzW1J+IFdm5bLpzZ+NYMJ11uTaXp5m6MhRKATN54zeM5ePMzDHxhgUszyZpxoTTGfKX5sBycaTgfDHg/Lkcrm+jlKZY9Hk0dZfQJFiFSaaemMUveuhEk53PG0GbzWMJmApd3ny+wAuWoN6I8DybR2ezZF0bLTX21AKTT1zGDjziWgM79MlfmsOaXkBbDr4UvP1yiVLGZaMWkfFsLk+FXCgEOLZAOyHexWvMKUX+8hpCSsK5CdyLj6C9LK4luVDwefdj09yZzdGMErK+zVze52rRWOXl5DkKb4nJXpgnrtWxXBuZnzBW4HACS8C5nMf/+81zpmIrxkVnKnQp+hauBdrP4zz6NJML15iMmsa/PZtHeVkSP49CM52xeYef5+mFHLa0sC2JY9vYUpLxbbJJBWupwsqLr3D3P7/MndsVNiOzi3Ht6Xke/ZEa4RvfzKtims/fvMHzL7dYX27SbEQ4vsf0eZd3vbnI/+fqPG+ckIjn/4j1r/1nrv8/36R618z1mdkM0286x7kfehvu0+9lJX+JP7td4Y9vLPPVlw2nJ7EmPxHw5NUJ/vLjE/zAuQLz0TLJ17/Kylf+jHtfe42NW5voRDH1hklm3nqN0g++Cx55hNfjHN+8uc7/8/JdXr6xQWXd6B7f72/lz5O0mMPgOf84+X7khHk/EDqSmbxHJusQR3EnMX4UK5qxoliYIjM3QWu9Qqsa4RV8E+ijElwLir7NfDFgox4RJ5qZnE/GMcJcSwcna3zbwAjnYLqEzE6gHR+JMr7OoXGnyec95oo+Bd9GRNVOflXLs7EcC28ih8gW0G5Is2aKG7WDKKVlglJ9R6Yu8GpbKj+t0rR6rQgRt3B9s43pehZWWj00ThT1KKEaJ+QyE/gLC2RXyubvlsTOmO1r34K5rFlEuLakFSumch6TgWu21WITrBhMFSi2IqzAI3t+Bqs0Q2z7KN00wTqhQxKbNrMFj4msayqCWjZWrkA4N5mOXeNPFXCygcl0AkwEDo/P55jIuEghmMl7TAROx0pjTcwSXKrjFbKmaFSYw5qaJ3F8LAQTvsuVCc10uhjIuhYzoUchjZrXYRHnwiNYM+eNJdkNUV5oSNzL4QqL0Am4FTX441dXuX5rEyfweNMjM/ytt1/giYUiU/XbqO98hfLiy9Qdh/PvewonH1J88nG8J76PKBMyYUmemtf4rs3rV2q0YkXOt5kr+lwphZzP+yAUYmKe8PEnOJfxmXjDGnGjhe0ba5R7/irW5AKRtJnPSt5yrsBE1mVpvUGz48oScLloFo2AsZ5cfRMX39uiub6JimLcXAZ/fhbnwmM0gkJfn7Pegz9HE7/927/Npz/9aW7fvo1Sikajwf/5f/6f/OEf/iEvvPAC733veykUCliWxd/8m3+Tn/iJnxj0kM8EginfWIxtD3Ri3BcmQurNmGorYSLjMpP30iBp3eGx3LkKSSsiMz+FVZhE2ykX2pKpnEur7pMoRTbnGjc7x2QJkWGOcKZoivZEinAqg1fIImwbSxiL+bmJgHubGQDmCwEl3/hFa9vFypXInp9BSEnSivAKGdxpE59iI1KDQpbQtVEaprKmfy91UZRhjvylOZyMCRD1Slmc6Xm07SME6fUHSCmoNWNCzzaGoTSzlMxN4J27yETgkdSbWIGHVZrGKs2QWA6uklwsBuQ8m0as8G0T5zIVOjhCoB0Pa2reBPHPbSKEROYnEIVplGv8wycCB1daLOQ8lCbd2bPJOiZIVgd55Pw1rOkLuCi0sNGOh3JDtJdFSslExicXBkQaGolgo5lQUZqcF5ArhUy4daLrL7Lyp99g5Tv3iCsRM2+Y5MJfegv5d32AxsITvLIe86e3N/jq6xu8fq9CEkcUC4K3Xcrzo48scMVrYQVNLsomVy/OUltaQbViszv72AWCJ78XNTXDAnne+6YLXJ6b4NZanXrLxDJcmgx5YjbHVOiABHv2EoW3vIWrrk2rbHYtvWKW8PwCzqU3orwcthRcLPh83+USM3mPO+sNEqWZyXtcmcxwrWRiEjQezsXHmIxbZOYnqa9soBNFZh3CuF0AAFzkSURBVH4S78IV7NmLxJZLKCRXSyHvecMMV6ezrFSMxsiKFv+9j8+Z0L0Ff4oTsrL3G8fJ92dTmNsWJR+mch6NZoxKNJY0uT+bsUbkp/CnJgjnqtgbFUNMvgtKYaEp+g7zxYBqM6EZJ0zlXONjTnsrsEgwXTJE7DqEcxPIfAlle0hZJ3Qt8lmPRGnmCwHTGZfQkYioiU5ihJTYnoXtWXiFDDJbQDsBjXirEIWUEmlJLFvi2VuBR0IaH3JbmpRVkObQTWIcIch5NrmMS9kzLi1gXHiasUb7eeyJWbIL9xFSopXCDn2TQSWqkXV8FnLGpSNKxeRE6HRSa8kwRzBTMtu7uRBnZg4yRdqps7O+8VO/b5mF0HwxYCpjtjaxHKx8iczCFJZnG2vuRA5ZnALLRaiY0JZczAdMBGZbOO/ZTASOCYQRDioo4MxfRk2YVakMMqhwAuUEyBhyviRwUv9tIXBtSd53yPkurmrgqSrRa99g49vXqS1uEOY9LrzzCUrf8zacCwvUJ67y2nqLzWyV/9fEPKuVFlnf5lIx4OJkFs+x0SqLc/mNFIIMuY0VtFJIP8ReuIIKS2hp41lwLu+be5DziROFbUkKns1s1iXrShAa7WWw5y4iHBdnag0dRyaAK1fCmpxD+WZrOXQEFwuBib7PeiilO+3N5zwCWyCE2ZWwphbwH2ngVsugEoSfQeaKyNIsmu2ZGo6ME7SYDwMuXLjA//q//q/bPrtx4waXL1/m93//9/nABz4woJGdbYRTebxCppPNI+dazOY8oiRLpRFTCB1KgZOmWtWIIINbKpI93yJpRYRzk0aYOx5SCzKOzXwhQClNK9FMZT2ms21hb2PlSx0Dg1Iar5DBLk0gXB+hNRnHYjbr8eis2R0sZRwKvkn9qqWDVZjEnV3A9j1UEiODEHtq3gQZIpgIHC5OhJQy5nqyjsVc1jXCXEgIC3jnL+CWioAJ+ramF9COcWUJHcm51JgUa41riZQnJAiF8rPYC1eQhSlTFK/japFHSxtXCM7lPWYyxsBhCfBsQWBLHAu0dlGZKYSfx1IJwnax3MD4hnshQoGMIWkqbq3UuL5m4mLOTTq8cTbPmy8XCe98k+Y3vsnmy7eINioEpTzFy/OEjz6JfekijclrvLbe4v955T6v36/RShTzBZ/H5rI8MpPlQs4hU3UQrmJhZorW998jrjcJZqdxLj6GmJhFBgHTKuJ7tGAq47N6dYJEaXKebe6PLdGWA4UZ3KtPUipMUtg0GcFkkMGanEdMngPLxUVwdSIk69lcmcwQKYVvmQXLubxv7i0K5eewF66QVcpUH5UW0g+xSjOI0hzK8bGkIHRkx5f8XCFAad1xjcn7VjrnupApYp+7RuBn8BY2QSXI/CT21BwqKKCljQNMZxyUDil4tqloCtCs9vlJ63WXdMz3O3Emhblvm8CRmbzPRj2i1kxwLFPdMlLarMiLM4Qzm0jbpPGzXNeIrLhJ4BjrQH0ioN6MmUr9E0WawkhmCwQzJSzPwXId7IlpRKaIEsYPPevbnZR480WfiSDNbFJrgE6QaZpBJ+PjFbLIMEckbGLdQmmwpMR2JZZtEfg2rm11SkVL28IOTC5taZtsBEIKhI5xLeOjVsq4rAQOSIFtGX/zVqxJnAC3MI0zNUMGiJst3HwGLAcRtwjckMnUQh2nbj2hI7EtQBjfRHtiljAIkUEOa3IO7WWJFbiWpOQ7XJgIyPs2ri2ZzhuLu8nzbiMLk7itJnbeTFgyyCFLMyg3SL83yXzOJdamJpFrmcnAswUogQ4KRoRLgeMH2H4G2wsQro/VEqyWI17ZaLJcSSjlA87nssisx8xEwIWci18QxHmP+PIFVKOGdH2s6XM4C5dJ3IwJIPUsHpsMmc241EoJni2ZCBxCx/j64/iosIQ9b6NLMyb9pe2isxMoNwNC4khF6Ejmcx4F3yZKTFBx6Fhb1wNo20OERax0safjFsJ2EUEGgjzaNgFhriXJehpLbm8v69rp95O25/goP4c1fQ6ZnzDZfxwHEeRQfg4d9dHHvNectu1zTwkuXrzI+973vj0zmYxxMsjMT+JPFsxzg0lBOxO6aKVpZg2PTfipgUEIcAKsiRkCMCkOC5PIwiSx5SISyHoWC4W0dgGQDx0mM6kwxkZkCrizs1i+6cPOZLBK06nFXRPYkrns1iI4dCRTGdek3JWgvCzW7AVktpAGo/pm/pAOlhYUPBtbSBppKsLQtci4Mk37mqDdDM75R8xCXgi07aO9EO1lEEDgSGayDpNhmq1JGm71LYGUEjtTRIY55IxxkbSklZbhsBBhgU08bi83eL1cZ7WaYFuShVLIGyfyXJgKmYpXse6+gl66jU6FrFWYxC5eQ88vsBnMcGszorxeZyZoMbWgCR2LydDlfN5nuuhgy6vgWkxeWkQ1aobDC5NYUwskfh4B5FzJ0wsFrpTCVLjaTIUuWUeaXVg3QBZncS0La/qcEa3ZIiI/hUoXKYEtmc26eLZkLk036NuSgueY+yk0ysshJ8/hBJmOq6nwfERYIPFzaJnuZAQ2jpSU/CSNRUh3AVxpLNxCmsVRpoSzcBndbGxrS3kZMw8K8C1B0TdpmGvpuDxbknNtfEsa11Vpo5wQmZ/CdtytsQUZCIvm9yYEtjTz5FRorrPZ9jGv97ngUM+uLGO+34kzKcw9kTAReExlXdaqHhtWq5N2rxEn6HwWqziJU1ndKorQznubRPi2caFoJZqaZ1P0bZM7FYx1N8xhFSbxXR9cz1hbvJBIaew0O4hSGseWzGRcir4JMhJpZS7LNSkb3XwWp1BA+FlTGUy3CyJIXM/GdkyaxYzdzuWdivmcR9IwWVncjIuwzddsSxP4M5X1WEyDbIqhi+dIYm2s5rafxZo0Fme7WTepqfzA5DK3TUCLlCYOsf3AG2FtgW/EuIwmEEEGHeRRbgad5vIthS6WJWnlVcc/ezp0jJXFchBhEXvBM6XhpQVOYCYUJzB+iq5LEAZI26alLcoxxJaNnwuYzweURB2vsYYVN42lx4K4UKIVTpJpJIQTCdPVFrVI4UhBzrMo+g7ZNO+tEdRsE8Eyk0OFJoDUELlAeRZ+muvdEgLfNrlipTDX0RbgIi2goYVEuxlwfHQarGsKGRnCVjrNrJN+3t6B0NJGu4EpfuR4hvSkjbYctBuibRctJI6kkzffkRKFGZcjTQaFTrEQaZt7GeQRXsYUpJI2yvGMyD9ghdkD44y5suyHP/iDPxj0EM40/NkprNIUMsyhMQvfgm/S9rUSYzHOuTZOe0Hs+sjSjHl+hUBkjF8ylo1URjDFie7ULghti6mMcenT2MhsCVsprFwJwHBorohyUtcS22QD8dNMMY40i4WOePOyIGwIi+YCpGOeUcvB0cbi79sSIRwc22S28h0TSG/rBJn1cGsOrN9Br97DkgJncg57YoZk6iq3qwkvrNS5VW5Sa2lyocPbFya4UAqYyzg4G4vI1ZvESzdQtU2E7WCVZpCTl0lKc2zKELsYcbEWUYsSpDD3cyp0yPsWbqKR4hIyX0BVN809CDLo7ATaDbGkMXBcK4XMZz0ipXCkJONaZrcQUG4Ga2IeJ5NHtxoI20E7AcrLGJdQIQgcI6pLgZMWgjLfbeDINJDWRfl5s9gIC8ZFxvZQXhad7py25zAR2OQ9G63BtsCVAkem3G27ZlEjBCJIc21LC+X4aDcAaQxjgZ2ms3RMISpLmvY9y3A0GMOddkNEpoQM4vQzt8PBWqZztSUIbIEUJpMa0JlrXEukefmFOcfLGHchz8SwadtDOz7aMYYbK82kEzgCS9qdStJN3Wf513OBodM1T/SD78+kMBdRnSDIGL+4rPFXdlJ/7ViBsn1kpohVSNPaxDHCcY1ITyJ814i6VuIQOpLQtrAlqY+5hRVmoTCJDjIm4rowSeIExnJsS7PlmXFxLEnBd/BtgVQR6AQsByfro+IEN3VjUY7XyWoSuhbZ1NLhuRZTWY/AtYy11vVxcyHhVBbR9j8v5bDDADBVNvOuzXTO49yE2YqdyLhkHAtbSFMq3gmwchOgEnTUQtgOIsya4pzK5NGWwiJR2hC+FAit0ZYNrglwElp3rDTK8dGRwrMF06HDROAgBNhp8aTQs8m6Fo6bw8u4OGuLtF7+Npsv30IqRXaqyOxb3kD26fcQT17ingrZaCoasWIiJamMLcm6Ekf4aMcmiVuGJIRAe2bstiXIOhIn59Gu0uxaAs82ZCe0NsQfKITtI1WMFtIQphOCNNflWoJESyxp0j/K1CLRdiVCSGM1xxSf6ozD8TukawkzHh+I2ppZCCxhxmSJtB3LNoIZ0MoxQlpIsFzzubWV6cHUr5AkUqO06Ah9R4pODVUtbWO9d0NQsdlAFBJtuWbyifpsQTlE2fPtOD0WlDEGD3vqHFaxBGHBBGBKQcaR2NIIOpkKF0eI9FkNINQIN9x6dt0QJW1sqQgdsW3nzpECLxVSKBvt58DxtnxnpQOuj+WF2K6P7Vvk0uqdUkqkTCsLS0nOs/HjKm5tBVldQ8YR0lY4pSzJ7KOsJi4bkWa9kdCIFVoKXNeiENhMBTa5pIK1fpukfhPtS8SVK8b6XZolyc0Q50ooL8bL5LhQizo+4rPZNFYI0F4GXZjF8bMQGyOJtv2Oa4QtBXnXFEpL0pS97d1LxxJoXLSXQwmJ8EyslbZdtJsxsUCpgYN0kZToLUNCp/Ky46NUDmG54KdcZbkoJ0BLk1rSSV0+XCut55FycbtaN0Iav3Qw7ZAaO7oEsCPNQkkI2XET7cxraSE+w7dmPhBpJhUtTbEkpG0KP0EnF72tDINZ3ZyeukmR9o+n0Glb7c+07YI0Bj4jpo37Syc/fnrNthSdyp875wjS+6TTscGW0cdN54J2e3qPaqZHQlpl/NA4RRbzfuGMCvMWfk5S9B0msluV4mxpsrNEGiw3g8yV0HFkBKobmD0/ZVIgBpak6Ns0YuNK0LFKWo5xp8gW0IkR5so1qRJ1KuyyroVrSXzbjMGzJEKZalzCcY2QFgJ/soTM5MH20WjcNAfuTM4ndC1C12Yy5xE66Vaj5+MUCoRzNazAQ9oW4UzJXIdlp6t5wVTocHkqg1KavGdT8B3ctrXIclFeaNJJJS1DypabFrNQOGn1UpWSg+FyjbY8U2JP+yBtbD9AeqYypY2FjuC11QbfuVtjtZ7geR5vPFfkB+cnuTIbkqneRdx+kVhVUBfm0OdMjl+ZK2JNnzPko2KyrtmmbCVtKwIdC4KyHGR6r9siVtue4daU6KTQncm4fa4thbGmWDbYZvw6XcXrlOQ6ojoVwUKA7iLMNG7KCGdpI2wXrW1jDUjFLzLNpSxEx4LSrkgo0zZsmZK4xoxD2uYpVaYt077J/qCFNJX+hN46V5uiIjIda6c909nWxKDszmda2obERT+j9HXPwZ/ilPD0l7/8ZT71qU/xyiuv8Du/8zucO3eOz33uc1y5coUf+qEfGvTwzg5Ks+hcIRVYJrOJb0scS6MAC4EtDZdpJJafw/ICLClNTIftIl0fJSRZJC0lqGvYaCbcryU4jkUm6zOd91nQa9hLL5PcepX4/gpCaYKpIvbCFezZEnFhjmY4yf1azJ1Ki2psrMUF36bgWRQ8SUCErOcR0ZxJqZe6QCRhjlyskbYidGySVNC0RbFrCbS2jR/z/NWtcy23Y2kG4xKR12wT1kbgtl3ofJSXQ6exPZDyYLqD0BbWlpDbuMa1UiOAtDp9tQNmO5+liRZsKfBssJUwdSyE6FiYIRW+jm8MFG0uTg0LbR5t7zAmcvuuY0dvSst85+3/YyzWSHtPLm7zuRBbonpbv0KCNuJXtw0nsl3Nuz3HQLKD09tzQ6ctywbtgU7dmdKg37aQhvQ8CS6y8z1b6T3qbs/wedpOm9OlZRZC6aJBsGUMEkJ0MrrFbW+AvqHH4M9TYojpJ9+fSWGOauFbZvut6NtorUm07kS1Rwl4jocI8siohW7WjeXYMoJNqBjPNoEzAhN4aYs0wE46CNtHe2ZbR0nLuB1YDirWqZ+3Taw0oSMJXENoJLEhLS/Azhsrt8yVENkCKn3wXNv4aUdFTTNyCDyb6YxLPs2hrp0AWZgik8RpFgALuziJLEylpNj2r/TSipvGty/v2cZqLwBhmRzZ0jEW/Paq3PGxHRvL9ci5Lo7j4FhmgeFKhasjHJ2YtINhAeXnaUiP9UbC/VpMq9Jk1o4pTigSrfEtyUzWYzqTZmVxPOTEPI7joKqb6LiVBsZkkPmJzj3w7C0rQpvQ27ozUdpYRqTqPOoKkQpxYx2R6RZgm3ydlOiA1E1EGdLeORmINMcx6fHpZABtEu2ymEsLTdek1v5MmC1OKbYsbTIdafs6rG4Lt5BpGXAQQnauaa/Jpb1AUoi2kd5MmN1GESG3ridpW2vk1uciYoz+4Hd/93f58R//cX7sx36Mr33tazSbZuG9sbHBL//yL/OFL3xhwCM8O5i+eI1i6GOTIKWFzs2gvAz1BBLM7z9wbbKeTUiErK8j4qYRttI2hpWgQDmxWG8k1OsR9UaMcDQXiibIuujbFH2LTAyWvIwOA9T5NBgvDbBWfs4UoJPGODOXdYmURqYLA2O5FWjporwsov2cynSXTAgsofEtU1m5LbBsy1hDrbaV2A1QWm0J832sxG1hDV07dZC6EfroNAGA+cyMwRgCjLDuFnltI4AUAo0xTuD4nVzdHSNDyqOWFDgYfjJ8tcV/gBGrlrtNmG/xVFrhNBXi7YV8m1ctKdqFVo11nZSD92ljJ593PkuPbxs0ELJjsCE1iiCtdIzmHCm2c3p7bpAiNbakhhtts2VdlrJzf/S2cQmQGqm3FgxOahDrvs9Cq057om1g2naNAil0Z75R6Qzj9FuXn2H0m+/PpjBPIhyh8e3UX1BpYmWCgGwhSFILsHZ9ZJhFWbZxY0mtxULFOLaNp41IlAis9pMs5dYKVmtzju2hDT3gpKQMpFt3JpKdWBtRH+SwAB1HyNwEeGnwJcbK0/bTThKFZ1sU/TTAT5KmqZpDuC5WEhufyGwBwiLKDUGDY4s0O4kHwpSrDnyXrO+SCzxcoXCFxkma+K0NrOo6lqrj5W1koYT2c8ZXskusdoI+UtJSjnFhSSKFJSDrSc5Lj1pkAhNhK5Al47R91G2Ul0VqjeWb3OWAuXeOZ0gaECrBlibQtu2S0uZyjRHiCOMzrjUda0OHsPcg8TZpamkjLLVFvrBFwMJY1aWwjAhWuiOgDVGmZJm6oQihOhPhtnZSWFKQKL3lArOjnW4SNz+l7RNCd9vdk4vQoNlasLRfkAr9dpvtCa9zfcfA0mcsK0s3fumXfonf+q3f4id+4if4N//m33Q+/8Ef/EF+6Zd+aYAjO3s4L6vkXQu8DNrLoDIm9iXSECU6dTswAeooZdzfbJOFy7gK+GY3ThmXvMnAIefanViOjhuHxLhbeFlkEezchNnl6sRxGAtw2yUudOQ2DrNSNamFQFhOapVVW/xDKoB1+22Xi4OVitHuXTHtpBbz7Qt5SwocbRbu3Rbvtiju7PoByO2i2HBIypvauM21xy9FOi5NapwwBoWtNq3O+W3OMpexvY12fwhtOLltJOlqo331W+No97/DsNHmYSG3XAF3tCGEwGI7n7dTKIPe4tuudIB6B2/K1DiitTbVqrva6nrb2aE0171zwWEWVrJjONIYe/IWn7evubu9zjwh1JZ7Yru9FJYUafa5rTlwWzv9QM8+5mO+34mzKcyVQsQtfMtYm2Nlqmu5UuLaZvWrbdtYKdwQ2d4Gk05H0FhC4JinBKCTFaXtA9xRhtJCWw6JWd/i2gKpMGJeti0VorOdJbN5dFolDi9r/PKkjdDGyjEZOh1h79nS+DY6ZkHR9o2Ufg7LsXG8ENsPkUEeK8yRCIs8FitN+MZyneVqjLQsrvoZrpZC7KxD0bfJywhZXUW2PCiWOkGC2tmyunREHewSoNo2qSA16RZnaq52Ldl5BtsBNl47lZ+0zWTkBmBZ26wJHTeQ1MfPsj1QGmltWTnaSHRKsDs+lwKT0UZsvW+TuBAgOv3Z28lFyC1rS/tYvbfI33ZO14TS+V20/5yeg9yyOHUTbxefmsmle0zt8XRNCu3JRaQ7A3RNTt0TVfsC2tub264t/byvOAWE2ytefPFF3v3ud+/6vFAosL6+fvIDOsPQ+Rl0Lks7cBqMccW2nC4xtt3K2lmoSgstbbMbR5cfsQTYcsto+xFrJcFO/ZpVvM2VreMSpxWWkLhSkHTzUXu8mm1iEujstnWL0Tas1Fre9mnv7Iq1scNKLEgtzWzRpLVTFKfCehu6hZ5IFxAP4EAkaL3FLzs5q5tDd90DYepsoMXuNjrHG9GqENvGL7sJVGwtP3R7gfOANraNpfsGCbHVRtf90NvaMoahnbugHU5vG1uE3nYvdvJ5uy3dMaiIbfdsJ7S0zW9tr/Z2GIO01uxuoU/QujfOPwXzRL/5/mwKc0DopBO0k3dtXCmQsu0qQScaG7Xl56alBSJ1H9AK2xLbLAZCdLkftC2S0kKn50ghcKXEFubhsKx28GQqcm0PJQQ4Qee9dkPz4CUQ2BYZ38a2bDzPxXddsr5D4Dq4UuNVHex71+H2daL1DZxciD19Dss/B75LUjjHmnKw6glvcoNO2iTj3+hspWGyTBS6GUvSeeh12+oi9yAV6FgDFGLLUi3oyjJCx7LRtjR1fPPblh3VtX3ZzkLSPVECQiVIYXVcVNrivN1292OudhC/GdMWYcquCY3UXaSbuPYmzS33mAdhO4lLQ7Dtrtrj6ZpE2uPZ+iCdDLrGtDWeNINDugDsJvJu69F2a037XL1bhPddlNO7xfwUEPXc3Bwvv/wyly9f3vb5f/kv/4WrV68OZlBnFNoNjYFDSLPQT/lFqAQrNboAJgC8LQhJjTFCoqWFVrqLt3b7IxuXuFT02alfs9pqu+NbnKJtYW1be81nbQOCMYkLaRnS3IG9eEMIjDGjLfy6jCVtK3H7GttidKdhYCfvGWHctVO3bQyGA7eL2S4up81ZOwwKO87fZvzttNH1/HeEdVcbexk5YLfgfNA49mljr3Y6hgx28NkeBpuHcnp68DZjVvuzHfdYdLnFdN5vM97Izv3RO4w328bQNbbuhUP/LeY9pks8BTuk/eb7synMLVPF03MEoWuqZgaJ+cXbbV89jQlodFKSa2fXsJyO0LYQOFbXgwPmPGF1LOkgUsuCNgFGwvjmCWHOF2gcCa7v47gSvxVjNesma8lEAVmaRRbnaQiXzQjKzYRalBiRa1lEjsRzJZ5nEXgSGYbI+Uv4URMhTdCQ9jImhZ+0CKSk5INr+SRadyz37UAamVpC2jmyUTF6hz9yx52iSyS232tpdSqTgtkmbQeddD4TW4Ld+Ai2Z6bUx7u92wBbbVv2LiKUXf7j3eJ8L3QHWba/q46VrG0t7xLC5n2Xpab9Ufo7aPe9dU1bx2ghEOwtdLvHvZMW2+PpCARzRWyz1HRNfjthpX6S23YFdo1tx4S7T1tHhThC8OdpwLPPPsvP/dzP8ZnPfAYhBLdv3+YrX/kKH/nIR/j4xz8+6OGdKWgn7AQjbrPaamUer50LaLY+00J0UZHx8e5+ntqiruPX3HZVsDHB313ttl9CK6SQe1qdt43b+IJ0fbCHyIMOZ3R/sH0Xs4uf07ltp2FguygXW/JtjwV8NwfuHMe28e8QwDvRvpZ2MP7Ofnbx8A60uXSvz/caR8eVZZ822ny+1z3e4uPd7XZfj9phVOjeidlzodD+vDOn7v5+uhdue/J5p73tOwv7LoR2zIX9gtA9cv4pMMT0m+/PpjBP/a8E2qTIsiSx2Hoot7b0BFhOZyvJ/NitjvUBwTb5JTFPjkYgpYXjOFiWjUhfWDZCWjiuS+i5ZHyXjGtjRTVEs4KI6oh4qrMIUF7WiGo/RMWaEFOhNOul7jOp1dlvB+44PlrFKMvdSofX9jdMc15LSHNn7xHtLdsBPem1dnzh5I7V+N6iHGG2WzV0tsyESLddZfd9am+/piKyu+12sOM2v8LdVuuevvY9RPme5YB3bFfuJLmt9sTek8qBxvLwCWXfP+yw+rTHoTkE2e64nr67scCZ9jH/6Ec/ilKKv/JX/gq1Wo13v/vdeJ7HP/pH/4j/6X/6nwY9vDMFnbqj7H/ADqvwDlG+fQFu/t25K9V57No7Um1Xtm6Xv66dLtPW/jtvbV55kGbpTEs7D+q2MqfvDyoid7XzgGf4gbS317k7DCsde8wO6+6W+8iD2zjQmLra0Du+353Yl8fTNg7Ckfu1sfd39OB2dnL6A6l9x87Cvoft8//+oNcCQ6NvwOk3359NYZ6mxAOdVkUUncAbKUgrWbJleRBW54m3HA/HdbFdF9t2wLKQlo1tO1i2je86uK6LZXVtY6bblZotQu/kmNaJeeBTn0Bt+1t+iV1Bj+00fVJIXLW1/ejI3SmmOj5n7c92pXUyEdmdaqG0rUFbJNAdONPtv9b+2y50rfbbY2u7WCgEVteh7cCfbdHqXe0gpfHIV2qbKD+oeGxna+nGnpbyvdCeMfY6YB9xvucYhNhGxnrH5LOLp/cdz+4+97sP3XNa+/1e7XUvfLa1129xfgoIt1cIIfiFX/gF/tE/+ke8/PLLVCoVnnjiCT71qU9x5coVlpaWBj3Es4N0cb3tffu/+wguvccD2eYy2HtXasslTqQ7pzuMCQd4brt73W/RvydXHELAtvmnW5w/UJQeAtst9w8X0TsM/Yfuf+fm6r7j2MclZ69x7DmWAywSDsrrncDT7t/eA34b3dhr7tLpbsDD5ui9FmN9xRl2Zek3359JYb4VxCiwEFi2wHYckwLQMQLbc0w1TlcoHKlxHBvbcRFt64vloCyT0UVptvnq7URb9Gq9lYXDEmwFHQqZpsNKH/62IO3Kfd2deaM9KXSnmJJC0M45LoTc2kYVXb7hbPk22nq3iOsOhtzXfy1tMx3AAwVz28Vktx/h9r7agZe7CMbqIq0jiMf9LA5ivyjybQy//zbqwzhur8l9ry52jalzvty1NdgLke89tmOwkG/v4Uz6mDebTX7xF3+RL33pSx2LyY/8yI/w2c9+lr/xN/4GlmXx8z//84Me5tlCe2dv52fs/Ry0n9u9foY7OW3bQn+ngQG2Wcx3LhDabhR7ubXteyk7L+MAz8qDnvWd/NB+u9OwcFzoYbOxtzYOKPAPvAtwgHlh34XGTgv+Pm3sFNIH3Zndq93uNg/b3oFxBrOyHBffn0lhfrXkU5ouYGUKWJkSOD6R0p3KX05adEaoNPBRbRVe2bkd2RaaB2KH9Ji9LCzbsm9ItgR1Vz9We1YQouOr1p2OybRh7XYF6X51taW7HohdgYK7xi13f3agrb3dAZhbqfwOZpXetRX7UJLdY3HU6X+3xWFfv7gHTN4nhYP2faCt6RPGWfQx//jHP86nPvUp3vve9/Jf/+t/5YMf/CA/9VM/xX/7b/+N//1//9/54Ac/uG03bYwTwl5C+TCns6W7D+Za0FZ6XaL8iDiIKO9ezO8MPu8nTBzMYPml3+iHwD9QOzut7z0snHZ+9/vtYp8khD57BYaOi+/PpDDPz8wTFkrG71qaCHWnyxK9K91S9+/7Af69+6H70Wq3LQTby9eKPYJtxFbmDQl7RtI/NE1Vp7Ou/3ZFaG+Na2vB0EYnsER3BWTuIIruoJWd/pjtAhTd2VC6+wJ2bf92rmGPProXRAdF92Jjmy/jw1bpAxDjB7ZQdRYM27+Lff0be9iWPTI0vZVn7pw8mvi3//bf8n/9X/8Xf/2v/3Wef/55nnrqKeI45utf//qeC8Yxjh8HEqgHEVx7fLZnrEr7+drDSt8vF4Nt/e23q/ag8w+w43eQMejDcOoYWzig+9SB2jmgGO7Hd/5AKN0b5/c8Twwex8X3Z1KYa9tPRflWTm4pJN2FAURq7diKok4P3ek32D7+AP12i/LdwSA7rNJ7WKTbFvK2oN7mIpK6n+yK+t7D6rtfqqp9sXOiOYAlecu4v1M88sDt3339n4+A7hFsG85e4rRHi9quto+K/Qh3gNb7Q6PXWWCE5/dbt27x9NNPA/CmN70Jz/P4+Z//+bEoHzAe6Ba27bODf0/7Zu9oc8h+VtFD7ILthUML4AP2t9t3+eHuLMchxh/W72mz1O+FA/nfP7CB3l0we4ceabeUXnBcfH8mhfnO3NhCq1TQ7v1j3svi0iuB7y3K97Cw7HTfaH/MXj7bu63YuxYTe2DnFRw0sGTX2He08aAMId2ifD8f7z0tXO2Fyj7W+b3Qk7V8L2t91+cPC+LsFQ/NDvOgcx8wjn1/pqMk8EcISZLgulvFXWzbJpvNDnBEY7Sx7yL/Ic/Cg3x9H7rQP0j/e/Sxa4j7PccPs5Z29TkMgvYkxtDPxcJJ+drvhQPfqkO4xnS3OwQ/h5HHcfH9mRTmOq0iucsqvZcAPUBw0H6kup9/WKevnf08JLCk3c9BrNsPKiAjBHvmf90PB7U2PQwH6nFPXzmx7zbwwyjzYdbyB/nEnZRveS/Ef5AJbrDEe4TgzxE2mWuteeaZZ/A8D4BGo8HP/uzPkslkth337/7dvxvE8M4m+vAcPyg7ylEDMLv76DX9ai/oXtCPikgbhsXFoHEUI86xotesLCMci3RcfH8mhbkRevs84A9xZTgoMRw0aGP7Qd3WjR2WcnGISO1D+J09cIxd7TwouGSve7LfXTpQqsKdnx0yyHSnpf5QvuV7jqsPAT9H6f8g7R516/MYcBaDP3/yJ39y2/u/83f+zoBGMsaBcAyCZqch4zA7rg8T5Yfijz7y1jDgQMaIAVi3+7FYOA0LjrNYYOi4+P6MCvO9/cQfhgc9PA8i1Ac9c72kxDtQ7uwDbmedFHYtVA7pe7EzyHTvPnY09fBm98VxWMuPe9IYOm4/g+kSP/vZzw56CGPshQMYKw4jjh52aD/5o6fnepcbzbCRw8Ex6LEP0p1lpHAG85gfF9+fSWG+kzQPQqI7yeEgz+muoPz2SYdwC+k3KR06zVUPGTwelh1kz/vwAD+5vXztH+Zf3h7Bntbyh07Qewdq7fcbOMjtPHPE3mtO2zHGOC4cwF1w2+H7bOBte99nC/ZeYzh0X31aFByFs446b/Vy/lng2MNe44kuanp2ZTn939thcSaFORzOotETSRyFwOFQ5NrPZ29f/7V9XHz6Ggy5Z/vbhfGBFkQ73+9zf/badtvvdzFoq003hmksD0RX/v/DYUzUYxwTjiBaH/rYPcgqf1JBmP1Kw3cEPKy/h82Fw8hvw2A1H3T/D4VWvXH+2ICzC2dWmB8FD02BfYKivBf0VBziOCe0fXCQUvECdlUwbaPbn/2g1vLtjQ/e8jS60Ohe89Oeyfs1xjDiQdx13BbsfqXIO0kcVZT3imHn2GEQ9scNrVRvnH/K70svGAvznTiib95DD+9zeqvd6Q0PRgB7ifN+EMfDghAfVq2u/X7rhIenp9zrL71kNjioC8u2vgdg3BmZqns9W8zHGONkcWzPU4/zyaBF+WkXkb1goKkTjylzV1/Rq8V8hAsMHRfGwryP2DNBSh99EPudeaNb4PWTcHoZVz9LCu8baNrH1IgHNpad1QlO07swP6v3bIzRxyF55CB+7PCgYPkH93eS4mwkjAUDxIOE/YOMLSMzh6hk7MrSJ5xNYX7AQhNHjdI/zsCg/f2mj1Da+ZA49G5Cj/djZ974B2Hf4h8PwINyvg/rZDP8VnONTsbCfIzTieMQS0P9OI8BHN1q/jBx3i8MYm7QSvXE+T27PJ5inE1hDlvi6wgl2DtNHfUZOETAzpkg7z5Yyg/iW95rSrODZmM59vSIafvDLdDHGGO4cVLPT6+c3iuP9Hpdx1bw7JQuuIfNSDJMYxmjN5xdYd7GEVNY7XvMgdKHDD5Y56TwwGwv3e934EGFOParknckXhoBa/lOHHRiOFEfSc0RfAdP5wQ+xunAaRWYY5wMTm0gqFK9cf5pvBdHxFiY74OTCgY60b77iL6N8Qg53B8myo8jG86w+pYfRpy3jz9e6CP4mPd3JGOMMWicpPX6pPsb9Hx1klw77IJ6oN+FGqdL7BfGwvwYMEqR2yeBkxrXvpzUw4P/0LRfQ7h2OsyW6nFbbTSgx3nMxxhjjDOAQbuzDHpxBKC16o3zx8J8F8bCvM84qtgZhgfsYTiJMR41TeUgCzoN6wJpJ47Veq51764sI3L/xhh9HGsAe499HKWvo+A4r21UOHHUMFR6oVdXFjX+bezESDg5X79+nQ996ENcuXKFIAi4du0a/+yf/TNardax9DeoH/sg+93vtdexJzGeg0KIh4jyg6zGD5GN57guf7/7fRI4rn61Snp7jSfxM4+T5vzjwiBE+UmVsx8qUXgCGJbFxYPm58Og79fTM9+PLeY7MRIW8xdeeAGlFJ/61Kd45JFHeP7553n22WepVqt88pOfHPTwOhjkg3tcvogn/fAfVRQf1VI+CLI7nRPcEXzMxzjzOAnOPwlr+UnjdHLJaOC43Vn62fbx7JKOfcz7hZEQ5u9///t5//vf33l/9epVXnzxRf7Vv/pXQyPMB+nCctIBQsOKsSgfIhwlK8sICKAxjhejwPkPw6i4sPSCQ+1qjsD1PAyDvoahF+UwzsrSR4yEMN8LGxsbTExMPPCYZrNJs9nsvC+Xyw9t99QKpR04ydy9ByWCE12cDEGqyn5/B8P22+25wNA4+HOMPfAwzu+F7w+KQQuzg+A0LwT6jWHjypPAcX/P4wJD/cPg1UkPePnll/nN3/xN/u7f/bsPPO4Tn/gEhUKh87pw4cKxjGcUreXDhhMjSiGPRZSflu+hf9BbJZoP+xrfyzF24CCcfxi+P26+GYvk3nAWBfPD0I97ciK/q3a6xEO/xsJ8JwYqzD/60Y8ihHjg64UXXth2zuLiIu9///v54Ac/yLPPPvvA9j/2sY+xsbHRed28efOBxw+kjO0ZEOXHfV8feB/aIvwhgvykv/thspYfj78hRxDm/R/OGMOB4+T8w/L9acJZylvejVGZA3vFyIhyAN0r34+F+U4M1JXlIx/5CM8888wDj7l69Wrn/7dv3+Y973kPP/ADP8CnP/3ph7bveR6e5x11mA/EKBLDoBYg+92rYxeVD7GQD1OA6xhjnGYcJ+cflO+PO+hzVIoJnQRGcX7cicNcw6Dzme/Eabj/ZxEDFebT09NMT08f6NjFxUXe85738PTTT/PZz34WKftr7D8r1vJBF0HoJ1H0o62hSznVA4ZpItiCPoLv4ODv6RjHg2Hi/GHCIHhk1K3lveI0XMMwQqseOX8I5tBhw0gEfy4uLvLDP/zDXLp0iU9+8pMsLy93/jY3NzfAkfWOoXM9OETfRxn7zqI2o+yLeRomtmO9j72mSxyC73aMweI0cv5xYJT5cyeGjRuPCyeRDOEw/fQNbdeUw2LsyrILIyHMv/SlL/Hyyy/z8ssvc/78+W1/60cxktNEbg9CvxYD/diuG4Z7Pup+5UMNfZQ85qP1XI3Rfxw35x8UJ+HGMirzyGnM+35aMZB732se83Hw5y6MxN7gM888g9Z6z9egcNKV2Y7ab7/7HJWt1/0wjH7lp20i00r19Brr8jGGkfOHDcNg3Bhj+DCo77dXvh8/07sxEhbz48QoWU1HXQyfZNv7YaSi3A+Aof49jS3mYwwZhq0y40kbWk6qv2HdaRj0ruUwzR19x7jyZ99w5oV5Lxg1gTyMlpWzJMoHPRnshWO//0dxZTnNk9cYY6QYlQD+s+zCcpqu5dgx9jHvG0bClWWYMCgXlpPu87QR0jCK426cFsHfDZ0kvb2O6bd3/fp1PvShD3HlyhWCIODatWv8s3/2z2i1WtuO+8Y3vsG73vUufN/nwoUL/Mqv/MqxjGeMMU4Sw8oxw85jo4RBzts6Ub3x/TH5mI8y359pi/lJEsJQuxyccH8nfT39+p6HdWIbTuihC+p54YUXUErxqU99ikceeYTnn3+eZ599lmq1yic/+UnAlHH/q3/1r/Le976X3/qt3+Kb3/wmP/3TP02xWORnfuZnBnwFYwwrTsqqPOyGltNm0OknTv290ao3zj+m+zLKfH+mhflhcRZcWMaifG8Mmygf+oVeu/JnT+cez/je//738/73v7/z/urVq7z44ov8q3/1rzpE/du//du0Wi0+85nP4LouTz75JM899xy/9mu/NhbmZwzDJqSG3YXlJDFs380wYOD3RA1XVpZR5vuxK8sJYFRcWAb+YPcZgxTlw9T+IKDRaJX09DrJ4M+NjQ0mJiY677/yla/w7ne/G9d1O5+9733v48UXX2Rtbe3ExjXG6GDYfbCH2Vo+KrvWYxwAuke+P0Ef81Hh+7EwPyCGJU3hceEk+jqp69FCDFyUD6u1fFQQRRHlcnnbq9ls9rWPl19+md/8zd/k7/7dv9v5bGlpidnZ2W3Htd8vLS31tf8xzh5GxYVlmDnmNBoyzjqUUmO+78KZFebDTDxHxUlYcIbNStQW4/38Xk9iUjut1jM4Wh7zL3zhCxQKhW2vT3ziE3v289GPfhQhxANfL7zwwrZzFhcXef/7388HP/hBnn322ZO4HWOM0RNGQZQPu7W8F/Tzms7CYkIr3XMe8+vXr4/5vgtjH/MDYJSs5cNOdv3CcV/n+P4fEdpE6fd0qtZ84AMf4HOf+9y2zz3P2/P4j3zkIzzzzDMPbPPq1aud/9++fZv3vOc9/MAP/ACf/vSntx03NzfH3bt3t33Wfj8uBX+2oIV4KA8M8yJ8jC2Mefn4oZXqjfOV5vLlyzz33HPbPj7LfD8W5seEUSGCUbKWn9Q9Pa0+mScrDHTPwhzAcRzy+fyBjp2enmZ6evpAxy4uLvKe97yHp59+ms9+9rNIuX3T8J3vfCe/8Au/QBRFOI4DmPLwjz/+OKVS6XAXMcYYKU6zC8tpc7k8K+j3fGrSJR6e87XSSCnHfN+FM+vKclCMUiaWYXMv6Rf67aKyH4TWJ5YFZ1Tufc/QR3FlOZ57s7i4yA//8A9z8eJFPvnJT7K8vMzS0tI2X8If/dEfxXVdPvShD/Gtb32Lz3/+8/yLf/Ev+PCHP3wsYxrj9GNUdt9OayDmSfU1Ksa444LWvbqyHE/w5yjz/Zm0mB/3AzQKLizD3k+v/fWKkxznKLlGHQU9W8yPaaxf+tKXePnll3n55Zc5f/78ji5Nn4VCgS9+8Yv8/b//93n66aeZmpri4x//+DhV4imB0PpQz9GD3FkO0s6oPOsnaZkf9lzsw4CRFPk9WsxRY77fiTMpzIcVw25ZOY2ivB9kP+wkOhBRrnt3ZTmu4T7zzDMP9U0EeOqpp/jyl798PIMYY+TQfr4P8xwNqkL02K1kO4ZlEXCQeIVRh1a9cb4+JmE+ynw/FuZ9xrCLNDjdhHpQDMrvfdgXX/2ESnosMHSCeczHGOOg6Bbox5V9Y1REea8YFqHcb4wiP/cbKkl64nw9ZBWihwFjYf4AjIL1YViF4aAsRg9DP7/T0+rT3y/0TLhn6zaNMWI4LuvnoET5sAd89opRFcuj+n20fcx7OW+M7RgL8z5iFCLoh7mf4+xr0MR1Fra2t+FIrixjoh7jbGFQInIUuH3Yaz2M6gKg7+jZx3xsMd+JsTAfUQzzqnrQIrgbxzWW07goGmOMMR6OYeI3GH7hOoi+RpU3R3XcY/QXY2E+YAy7WB4Fi8p+GBZRPqiJfNACYtiysowxxjBilFxYRqGvMQaDXgsMHVfw5yhjLMxHEGNr7cMxLKJ8UH0NWpS385iPMcZpwnFk6xgExukR+9PnKM+R/YZWYx/zfmEszAeIkyK5USDTfhLcMAVmDVwgDwgajRr7mI8xxr44KuedVW55GM6aWB6W34FSqifONxbzs/WdPQxjYT4gDLMLyygT22kR5SNtLQdjMe/ZlaW/QxljjGHDIEX5KBgZzqK1fJTnXQCSXvOYK8Dq/3hGGGNhPkIY9gd30NbyYdpmHgpxPGCMfczHOE0YVO2Dfo5jFHZCR8Vvfozt6NXH/Lgqf44yxsJ8ABhWF5ZRFaKDzE2+E4Oudjo8k1pv/obmzDHGOH3ox/N12kX5UXCS89ewJAAYJgOQVmrsY94njIX5CGCYUyMOGqdJlB8Vg+5/G47kyjJE1zHGGAx+wX3UMYyKKB8FF5Yx9oZWPdauGFvMd2EszPuIB5VqPulxHBajmLJrWLaWoT9jGeRvp+/+kox9zMcYPgwDP580RkWUHwWjki1rWHAc16B7LDA0zt61G2NhfsIYdIDJoProN8aivP9j6Cu0idLv7dQhu5YxxjgCBskxoyTKT6u1/Cy4sQBorXri/LEry26MhfkQYxRcWEZpe7Uffe/EMIxlGLbZ92h1bDEfY4w+YFRE+aBwGq5zFI1jO6F7zsoyPN/DsEAOegDDimF6aA+Ks5AacRiEcBvDNJYxxhjjeDDIgOpREuWjZi3vBach6HM85ww/xhbzMXrGKJLDaRPlw2ktJw3+THo8dzQm6THGOE6MRfnx9TsqC4FRglZJT5w/9jHfjbEwP2FoIQ5ECiexMj9rZDoW5SeJI6RLHOrrGmOMg2EQ/DpqonyUMCzW8qPgOL8rrXrk/CG8T4PGWJjvgWF8oPqNs0KmbQyLKB+m+36sJM0RsrKMMcYxYBRido7S5yhmQxlFA88Ye6PXAkNaaRieaXEoMBbmpwDjgM/j6bOfY+jnOGC4xrJ3B+M85mOMcVIYRf/uUVr0DFM/Q7tw6zmPuQKr/8MZZYxc8Gez2eQtb3kLQgiee+65QQ9n4BiL8uPpc2f/wySER8Pio1GJ6uk1Epc3xolhFDn/JLlu1FwS+4FRqio6yLZPEr3yvRoT/i6MnDD/x//4H7OwsHBs7Z8EUQ36QRwlgTxIEdovQd5Pi/2w+Lc/vJOtEs2HfY2V+RjdOG7OH2UchVdHMdvMUfo+KUvzMBpOTqQeSq98P06XuAsjJcz/4A/+gC9+8Yt88pOfHPRQdqHfP/yDPNwnaV0ZRcvKILd3+ynIYbgKKh24r7QS3GFf40TmY7QxzJy/H06KY0c1iH4U55KD4rhF+TCK/jZ06spy6NdYmO/CyPiY3717l2effZbf+73fIwzDA53TbDZpNpud9+Vy+YHHj5L/2ajkLD9rvo/HcY+HmYz3hTYFJ3o9d4wxDsv5D+L7YRd0J4WzKsqH1S/7VFX2Vronzh9n4dqNkbCYa6155pln+Nmf/Vne/va3H/i8T3ziExQKhc7rwoULxzO+Y/rh77fdOCp+iKPog3iaRfmJWsvHPuZjHAG9cH6/+f4kF8QnYS0f9AJ/1ET5sPYzrOiZ78cW810YqDD/6Ec/ihDiga8XXniB3/zN32Rzc5OPfexjh2r/Yx/7GBsbG53XzZs39z12mMVnW6D36hc4CqQ2DP2ORXl/YfLaHv41VuanF8fJ+Yfh++PCsFrmB+2aN2zcOsz99hMnaozRPfL9WJjvwkBdWT7ykY/wzDPPPPCYq1ev8sd//Md85StfwfO8bX97+9vfzo/92I/xr//1v97zXM/zdp2zF4bZMnJUnDUy7bXvYVuYjbooH2OMvXCcnH9Qvh91nHQw4iDdV46KYbZin4ag0jGOBwMV5tPT00xPTz/0uH/5L/8lv/RLv9R5f/v2bd73vvfx+c9/nne84x1HGsOois+DYFRF+aikgByL8gd1DKpHH/Px9HN6MQjOH3a3j2HMed3GoLl8VKzlY9EMOumN88fpEndjJII/L168uO19NpsF4Nq1a5w/f76nNkeVMA6CYR7bw3DS38swEWq/xzLo30HvBYb6O44xRg/HwfnHjWFbAAza6DToOXaYuH0nTlXQZ7u/Hit/jl1ZdmMkhHm/MSjCOG6iGIYKl4MWg4fBMF3nqRPlR8rKMibqMcbYCwd9rgfNbaMsyofRuDPMi4w2dNJjVpYe7TenGSMpzC9fvjywFDsDFzzH3P8ou7Acpv9BT1z9GMd+GPRv1ED37soy/HPQGCeMk+T8kwqwHzaxNQyGnX6OY9T6HnUo1Rvnj7Oy7MZICvNBYdAP7TCL8kFjLMoNBv0b7UAfxZVldH+HY4wxaAyqxsWwzB/DHh9wGt1YAEh0T5w/Fua7MRbmB8Qoba0dFsNQ5v2k7s+gAz2Pa9IYGkHeBdUj4Y5peoxBYZit5Qfp56Sqhx613/0wqHnkpPjzNOys7AeldU+cPy4wtBtjYX4AnOattbMkygfdx1kS5UfzMe/vWMYY4yAYVuvncWHYeG3QrpDD3t+wo3cf8/F93ImxMH8IBrnFd5ykfxpIZSzKh9m1xlT+7OnMU/DbHGOM/TAM3DtsvHaajV+ntZ+dMD7mY1eWfmAszM8Yhi37xzD7Aw7b5LUTQ22tG1vMxxghnDVreT8wTKL8pI1fJzVvDcMi7sBQ46ws/cJYmD8Ao0gY/RzDw3DaXViOimG973thpCaAMcYYUQzDfDBMgZ6nZY4dpr7GGH2Mhfk+GPWttWEXWsMuyod1J2DY86d3o2eL+RhjnCDOkrX8tM0tgxDlY2v53ujVx3xcYGg3xsL8GHGa01YNitjOqigfNSu51ox9zMcYY4x9MYw8exw4yUwsg1wwKqXGPuZ9wliY74FBieOxKD++fk+qj7Eo30LPhDvm6TFOCCfJ04MWW8M0v4yqG+Sg4pRGAVr1xvljQ8xujIX5KcKwWxCGvarosIny4yL1k/md9F75cyzMxxhj+DAW5WMXlgdBjyt/9g1jYb4Do2wtPwkMexT7oDAW5TtwhMqfeqzMxzgBjAInDYu1/DSI8pPGSc/pg9YQOlHjyp99wliYd2Esyh+MQYnyYXdhGYvyvTFOlzjGacMwGyaGXbQOWpSPggvLoN2djgLda7rE4f7ZDgRjYZ5imPzvhhGjLMofNoZhmWxPiyCHdvBnj5PM6X2MxhgSjAJXD4PYGobK0P0YxzAZXgbdz3H1p5PeOH9sMd+NsTDndORSPdYMGyMsyoehj4NgVAM894dGqx4rR4yAaBpjdHEai9EM60LjLIrys+bC0obWqjfOHwvzXTjzwnwYiGOYMeqi/Li+m362e/pEOXAEi/kYY5x1DIPYGgYOHySPnaWMPf2ASnoL/lSDnquGEGdamA+aOIbpodqJQW79DfN9geEW5QMX5F3o1cd8iC5hjDGA4eak43jmB83hwxJselpxLGl9e/QxH1vMd0MOegCDwml6YPstFEfBH+8gGMYJqxunWZQPO5rNJm95y1sQQvDcc89t+9s3vvEN3vWud+H7PhcuXOBXfuVXBjPIMUYeo+AK0W8My/hHxYXlNFjLhx2jxvdnUpgPu5vESaEtwrtfR8GwBArB8eQt76cVp5+kKrQevt+i3kqfddjXSZjM//E//scsLCzs+rxcLvNX/+pf5dKlS3z1q1/lV3/1V/nFX/xFPv3pTx/7mMY4fgzdc3JEHPR6DnPdg94FHvQ8cpK/kUH8Ho+tT6V74/wTsJiPGt+faVeWXjFo4jjMOE5qVT1K92SQ7Z4VK7nmCD7mx3xJf/AHf8AXv/hFfvd3f5c/+IM/2Pa33/7t36bVavGZz3wG13V58sknee655/i1X/s1fuZnfuZ4BzbGsWIUgj4P09ewPfvDwt+DEOVnNeCzG736mOsecwQcFKPI92fSYn4UDJoM29bRB42jXxbww4zpqBgWUj/Odk+9lbwb2viY9/TSmiiKKJfL217NZvPIw7p79y7PPvssn/vc5wjDcNffv/KVr/Dud78b13U7n73vfe/jxRdfZG1t7cj9jzHGfhgGUT5IYTroeWQUFm5H6e8ofR4EbR/zQ7+URik15vsujIX5ITAoIXQQMQ79d5E4KfTDhaaX7+Yg5wyrKO83+v/b0Sjd2wvgC1/4AoVCYdvrE5/4xNFGpDXPPPMMP/uzP8vb3/72PY9ZWlpidnZ222ft90tLS0fqf4zBYdhF1yjydhujLsqPYuQYi/It6B75XmvN9evXx3zfhbEryxhjjNF3aCDpdfIBPvCBD/C5z31u2+ee5+15/Ec/+lH+t//tf3tgm9/5znf44he/yObmJh/72Md6GtcYY4wxxhh7I9G6J85XwOXLl3cFZZ5lvh8L8wPiJLNxDLWLwg6MWp7ZbpzE9zDsPuXHaanr2cVcg+M45PP5Ax3/kY98hGeeeeaBx1y9epU//uM/5itf+couwn/729/Oj/3Yj/Gv//W/Zm5ujrt37277e/v93NzcwS9ijDOL47aWD9P8cBqs5aPU5zBD6d44X2mQUo75vgtjYX4AnJQoP60P7IMwrOQ2bKJ8lAQ5HN1ifhhMT08zPT390OP+5b/8l/zSL/1S5/3t27d53/vex+c//3ne8Y53APDOd76TX/iFXyCKIhzHAeBLX/oSjz/+OKVS6ZAjG2MYcJJuA2eJw8eifDT6PGq/B0Wie+N8dUjGPwt8PxbmD8FJiPJhE4EHxSCKUIxKeethFeUn+TsZtqQsFy9e3PY+m80CcO3aNc6fPw/Aj/7oj/LP//k/50Mf+hD/5J/8E55//nn+xb/4F/z6r//6MY1qjGHEST0no2wtPyrOmig/CoZdlINxSRmm+kKjzPdjYf4ADGPg32nBoCek41okDbPrykn+Do9iMT/2fIkPQKFQ4Itf/CJ//+//fZ5++mmmpqb4+Mc/Pk6VeIZwGgM++93XMMxpoyTKB5k44qTQq4+5HuBic1j5fizM98FJreZPkwXkoBiGtGDHgbGVfLRw+fLlPSeFp556ii9/+csDGNEYo4pR2ckbFoyiS8egRPmoLQaGFaPE92NhvgeGzZXhNOGg9+W4SOU4vpdh/q4HNrYeA4HgRAp/jjHGnjgp97pRtpYfFWNRPvz99oKegz/7P5SRx1iYjzHGGH3HSQZ/jjHGGGOMMVioXtMljgl/F8bCfAeGzcd4mKGFOPD9GrSl/DBjGGSbpymuYdiCP8cY40EY1mD0YcOoWa0H1e9Z0xLJEdIljrEdY2HehbP2IPUDe11z+z4OgxhvYyzKTxbGYt77uWOMcZI4ra4lwxTPMxblx99vP/ruFT1nZen7SEYfY2GeYizK+4fTLsiPo93TJMrb6Dkry1iZj3GCGCU/3sNgmLhgLMqPv99+9H0U9Fz5c8ifo0FADnoAh8F//I//kXe84x0EQUCpVOJHfuRH+tLuqAdo9JJ68CCv48Jxt9/GKIjyft0LLcSRx9XXTDBsbW0e9jWm6THg+Pi+G4Pm7uPq7zjT0Z7UtR+V086aKB80VI98P7aY78bIWMx/93d/l2effZZf/uVf5i//5b9MHMc8//zzR2531B+k4ywrL7QeWsvwg3Cc38kwpkQcJkHeQY/WExgL8zGOj++7MUp5sEcZg8hacxZF+aB3cHq3mB/DYEYcIyHM4zjm537u5/jVX/1VPvShD3U+f+KJJ47U7qAfpOPqu58PaD/F+XETx3ET21iUHw7jdIlj9ILj4vtunGaBPOjibUfFoDhtWOfzg2AYvsNe0yUOwdCHDiPhyvIXf/EXLC4uIqXkrW99K/Pz8/y1v/bXHmpBaTablMvlba8xxhjj+NFOl9jLS49t5mcaY74fY4zRgwn+PDzfqzHf78JICPNXX30VgF/8xV/kn/7Tf8rv//7vUyqV+OEf/mFWV1f3Pe8Tn/gEhUKh87pw4ULnb8Owwjws2j53DyonP6zXddxpEEfFAtbP72jYrSxjH/MxesFx8H03TrPf8qjw4HFhUNbyQbo3Dcuc3yvfj11ZdmOgwvyjH/0oQogHvl544QWUMuEBv/ALv8D/+D/+jzz99NN89rOfRQjBv/23/3bf9j/2sY+xsbHRed28eRMYncqe3UJ8UIQ7rETf7/tyEm4sfQ2uPKK4GBYyH+PsYFB8f1YwjHnYjzto9Sh99avPURXlwzq3jzFgH/OPfOQjPPPMMw885urVq9y5cwfY7mPoeR5Xr17lxo0b+57reR6e5/VlrN3o1w96rwI9p/FhGRZBuh9OQqQO+z3oN9quLGOM0cYw8P1ptZYPoyg/LEZNlB8Vp8VS3kbvlT+H6zqGAQMV5tPT00xPTz/0uKeffhrP83jxxRf5oR/6IQCiKOL69etcunTpuIe5Df1+kEdBZA0ax3mPzpooP0ky7zUN1pimTydGke/bOG2i/DRhEFlfeu23X/0PY+KK/3979x4cZXnvAfy7uUeSEO5JJESCNKKGIFAycaZoSQbjOBKr0yrkVFtBhzbTai8OYzs0ts60jnA8Dh6LnBkUm1EQPCAtFWq4BFBDCIFIqJqTYIBAEiiXXCAbE5Lf+QOzzSZ73/fyvLvfz0xG2X3f57LPvr/3t8/77LsDCCzmM96PZIm7siQlJWH58uUoLS1Feno6MjIysGrVKgDA97//fcPaofWyCdUDqlnBy4jXxWoJOWCtH54IZsacEyjhTa94r3q8HUrvpFy1+Kfqr6G6w6R8pIBnzHVoi9VZIjEHgFWrViEqKgo//OEPYbfbkZubi71792LMmDGG1G/2wWR2+YFQdcZHtZOSN6q/91wK8NZZ3+xKYU7reG+lJSyqxk0VGbmGPdA6ta4/GHrW3x9gzOeXP0eyTGIeHR2N1atXY/Xq1YbWa6VZSi1Z6Z7gvjJqPMI+KUewa8yte9yQNrSM96GYlAdD1RlXf5kR28xOys2u35MBBDpjzng/nGUScyKyFs6YExGFh34B+gPYjzPmIzEx90Dl9Xt6CrXZciPHg7PlN3CNOYUzvWfLVZm1dkfFpZtWvzWh2fV7MyCC/gCmVXhXlpGYmLsQrgk5oP9lXyblvrFyUj6IM+ZkZUbdgk+FY9VXKnwgYFJufP2+GAhwxtw6737jMDEfRtV1gUYItdt6GfkLm6GQlGs5PhLgesMb+xKZK1STclUTPJuIbnGWSbkxbixlCWTGHDD/455amJgPYdWk3KxfMlWh764YnSQzKXct0BlzIjOpdAyZWU+g9al0XjDz5g3hlJQDN257GNBdWQBEat0Yi4swuwGqMDoxVeGSIPDvn7b3h8o/6a5Skmx0fYHOJmndz6ioKHyNgYBmTwQCO/oRHR2taZuIfGFkUm6F2XIjY6C39plxa8RAhVtS3n3pCuwBLWQB7OjH/+35ROMWWRsTc1gjqLoTzInEyv0eTusPC+GSlOth/vz5iEUEvsBVv/c9DTu60Y+HHnpI+4YReaD6TLnRzDg/uNvf6KTc7KTY7Pr9NQOJqEEHxM/JmF4M4Dg6sWbbRp1aZk1MzIlIU1FRUXh7+/+iBu3o9eN33fohqMIV/Oef/xuJiYk6tpCIiLSyv+ssOtGHJtj92u8zdGI0olFUVKRTy6wp7BNzK892GD3Do+JsuR4z5ZwtD96DDz6IMYhGLTp83ufLb2bYly1bpleziFyySiw1qj6VzotWWPIzyOzZcrMkJCTgv974Mw7jis9LGK/hOo6jEx8c2g+bQu83FYR9Yh4Iq34pJJikU8VgoXWbzDgZhWqdNpsNH1QdQB26cA3XvW7fiwHUoB1vbdvC9eVkKNWT5GAZlZTrdRMClda5e6JCUm7mB6qlS5fCBvi8hPEIOjAF8cjNzdW3YRYU1om5FZOiQGeIVZoB0UIoJOVmMLKf8+bNQwbiUY12r9vykiaZwUrryo1Y821WHPQ2aWTEnWHMnnyyclIO+LeE8TJ60YBr+KjxuEGts5awTcytMtuhSt2kD7NudWmUj07WoRHduIRet9vwkiaR9oxMyo2YaVb5to2h8INwWvB1CWMV2jEDCZg2bZpBLbOWsEzMzUrKgz14g12KEmzwVCn4DLZHqzXhZl7C1Co59+W1MPpWl5mZmbgdCajCFbfb8JImmSWYu1O5+vOnTk9//tQZTFuGtskM/tarZ3Ju9aWeSrTBZsP2wwdRhy5cdbOE8RzsaEMPKi42Gdw66+APDBlE019VdFGWrwfl0O0CadPgPoEGAV9/4c1fQ8s0o21isykRGAHfXgtXj+vV/opLp5A6bgLOwo7JiHd6bvCSZn1jgy51E/nCUzLsD3fbB5OAmrXcRu94ZtSHAX/jeqDnuMHtAz2v+lLf8LKH76PCOejb3/42MhCPI2jHvRjv9JxAcAjtuAujMW7cOJNaqL6wnDEnIuOMHTsWs5GEQ7gy4j63h3CFlzSJiEJI+VcnXC5hbMA19KAf+7pbTGqZNYRlYh7MFyjNWkriTTC/4BnMaxHMZWC9mNU2VS6FBjOuetlnb8XXGEADrjkeOws7zuNrXtIkZan8/Q2rMuOWtEae74NZThTIEicVTZ06FXcgAYeGLGG8DkE12vHnv7yF+Ph4D3tTWCbmgwJdkxfMwaLlukAt2xbs+kSj6wykbf4w+/UIhopBPC4uDuve+Quq0Y7rGIBAUMVLmmQBVv0Oi9nfidKL0a+HFhNyep7fAqX3xM2+S6dwAb04+82PDp1AJ+IQieLiYl3rDQVhnZgPF2iyrOUnXa0T90Dbo9eXmwKpU68PLf6MTTDt0fq1CLZes2ZhHnvsMcQhEifQ5bikWWFvNax+okBplZwbfYUy2PipR5wwc/LBrKvEwdbtS7tUc2MJ42gcwhXY0Y9j6MCm3R8iIoJppzdh+eVPM97Iqh04gQT4of8NpIxA99GbP8m5p38H8wUvf+p2FdiDeV0H99V7bCIiIrB57y4ULshHDCKwtmwD4uLidK2TyFMy5M973tcJDV/bFGgdnrbxVL+n54Kt19d6fNlOqzHx1o5gXg9fJlaCeV7rc6tZyxr32VswIT4BO3AekxCL/Px8U9phNWGVmMs3b86uri6TW2I9WieDVqRHMFWp7sHjQnQM4t/97neRijhcQz+WLFmiWz1EvsR7rY9Zs5ePBDMzrhWzXwMt2mHWOGhV/3Cu2mNEvI+Li8P/vFuG/1iyBBXHa3SrJ9TYRM9RUczZs2eRnp5udjOIlNbc3IzJkyeb3QyioDDeE3nHeK+esErMBwYG0NLSgsTERMcvDHZ2diI9PR3Nzc1ISkoyuYXaYb+sRYV+iQi6urqQlpbGdYBkea7iPaDGsaa1UOwTwH7pifFeXWG1lCUiIsLtJ8OkpKSQOvAHsV/WYna/Ro8ebVrdRFryFO8B8481PYRinwD2Sy+M92rixyQiIiIiIgUwMSciIiIiUkDYJ+axsbEoLS1FbGys2U3RFPtlLaHaLyLVhOKxFop9AtgvCk9h9eVPIiIiIiJVhf2MORERERGRCpiYExEREREpgIk5EREREZECQjoxf+mll2Cz2fDss88CAC5fvoyf/exnyMrKQnx8PKZMmYKf//zn6Ojo8FjOj370I9hsNqe/wsJCA3ow0vA+AcC99947on3Lly/3WI6I4He/+x1SU1MRHx+PgoICNDQ06Nx694b369SpUyP6NPi3ZcsWt+WYPVYvvPDCiPpvu+02x/M9PT0oKSnBuHHjkJCQgEceeQTnz5/3WKZqY0Wkiq6uLjz77LPIyMhAfHw87r77blRXVwMA+vr6sGLFCmRnZ2PUqFFIS0vD448/jpaWFo9lejuGjeCpX0Dgce7111/HLbfcgri4OOTm5uLw4cN6dmMEb/1yF/NXrVrltkyjx+vAgQN48MEHkZaWBpvNhg8++MDpeV/i9eXLl1FcXIykpCQkJydj6dKluHr1qsd6Azl3kDWFbGJeXV2NdevWYebMmY7HWlpa0NLSgtWrV+PEiRPYsGEDdu3ahaVLl3otr7CwEK2trY6/jRs36tl8l1z1adBTTz3l1L6XX37ZY1kvv/wy1qxZgzfeeANVVVUYNWoU7rvvPvT09OjVfLdc9Ss9Pd2pP62trfj973+PhIQE3H///R7LM3us7rjjDqf6P/74Y8dzv/jFL/C3v/0NW7Zswf79+9HS0oKHH37YY3kqjRWRSpYtW4by8nKUlZWhrq4OCxcuREFBAc6dO4fu7m4cPXoUK1euxNGjR7F161bU19dj0aJFXsv1dAwbwVO/Bvkb59577z388pe/RGlpKY4ePYqcnBzcd999uHDhgt7dcfDWr+Ex/80334TNZsMjjzzisVwjx+vatWvIycnB66+/7vJ5X+J1cXEx/vnPf6K8vBw7duzAgQMH8PTTT3usN5BzB1mUhKCuri6ZPn26lJeXyz333CPPPPOM2203b94sMTEx0tfX53abJ554QoqKirRvqB889clbH4cbGBiQlJQUWbVqleOx9vZ2iY2NlY0bN2rYau/8GatZs2bJk08+6bE8s8eqtLRUcnJyXD7X3t4u0dHRsmXLFsdjX3zxhQCQyspKl/uoNFZEKunu7pbIyEjZsWOH0+OzZ8+W3/72ty73OXz4sACQ06dPuy3X0zFsBF/6FUicmzdvnpSUlDj+3d/fL2lpafKnP/0p6Db7IpDxKioqkgULFngs18zxAiDbtm1z/NuXeP35558LAKmurnZss3PnTrHZbHLu3DmX9QRy7iDrCskZ85KSEjzwwAMoKCjwum1HRweSkpIQFRXlcbuKigpMnDgRWVlZ+MlPfoJLly5p1VyfeOvTO++8g/Hjx+POO+/E888/j+7ubrdlNTU1oa2tzams0aNHIzc3F5WVlZq33RNfx6qmpga1tbU+Xd0we6waGhqQlpaGzMxMFBcX48yZMwBu9KGvr8+pr7fddhumTJni9nVXaayIVHL9+nX09/cjLi7O6fH4+Hi3M6YdHR2w2WxITk72WLa7Y9gIvvbLnzjX29uLmpoapzgSERGBgoICw+KIv+N1/vx5/P3vf/cp5ps5XkP5Eq8rKyuRnJyMuXPnOrYpKChAREQEqqqqXJYbyLmDrMtzNmpBmzZtwtGjR53Wrblz8eJFvPjii14vIRUWFuLhhx/G1KlTcfLkSfzmN7/B/fffj8rKSkRGRmrVdLe89WnJkiXIyMhAWloajh8/jhUrVqC+vh5bt251uX1bWxsAYNKkSU6PT5o0yfGcEfwZq/Xr12PGjBm4++67PW5n9ljl5uZiw4YNyMrKciy/+c53voMTJ06gra0NMTExI5ICT6+7KmNFpJrExETk5eXhxRdfxIwZMzBp0iRs3LgRlZWVuPXWW0ds39PTgxUrVmDx4sVISkpyW66nYzgxMVHPLgHwrV/+xrmLFy+iv7/fZRz58ssvde+Tr/0a6u2330ZiYqLX5Rpmj9dQvsTrtrY2TJw40en5qKgojB071uN5wN9zB1lXSCXmzc3NeOaZZ1BeXj7iU/lwnZ2deOCBB3D77bfjhRde8LjtY4895vj/7OxszJw5E9OmTUNFRQXy8/O1aLpbvvRp6AeL7OxspKamIj8/HydPnsS0adN0bV+g/Bkru92Od999FytXrvRarpljBcBp/fvMmTORm5uLjIwMbN68GfHx8brXTxROysrK8OSTT+Lmm29GZGQkZs+ejcWLF6OmpsZpu76+PvzgBz+AiGDt2rUey/R0DPsye6sFb/0yO84FytfxAoA333wTxcXFXs8PKowXkZZCailLTU0NLly4gNmzZyMqKgpRUVHYv38/1qxZg6ioKPT39wO48c3wwsJCJCYmYtu2bYiOjvarnszMTIwfPx6NjY16dMOJr30aKjc3FwDcti8lJQUARnyj+/z5847n9OZPv95//310d3fj8ccf97seI8fKleTkZHzrW99CY2MjUlJS0Nvbi/b2dqdtPL3uKowVkaqmTZuG/fv34+rVq2hubsbhw4fR19eHzMxMxzaDSfnp06dRXl7ucbbclaHHsFF86ddQ3uLc+PHjERkZaXoc8bVfBw8eRH19PZYtW+Z3HWaM1yBf4nVKSsqIL9xev34dly9f9nge8PfcQdYVUol5fn4+6urqUFtb6/ibO3cuiouLUVtbi8jISHR2dmLhwoWIiYnBX//6V6+fxl05e/YsLl26hNTUVB164cyXPg1XW1sLAG7bN3XqVKSkpGDPnj2Oxzo7O1FVVYW8vDxd+jGcP/1av349Fi1ahAkTJvhdj5Fj5crVq1dx8uRJpKamYs6cOYiOjnZ63evr63HmzBm3r7sKY0WkulGjRiE1NRVXrlzBP/7xDxQVFQH4d1Le0NCA3bt3Y9y4cX6XPfQYNpq7fg3nLc7FxMRgzpw5TnFkYGAAe/bsMSWOeOvX+vXrMWfOHOTk5Phdtpnj5Uu8zsvLQ3t7u9NVgr1792JgYMAxqTZcIOcOsjCzv32qt6F3+ujo6JDc3FzJzs6WxsZGaW1tdfxdv37dsU9WVpZs3bpVRG7cNeTXv/61VFZWSlNTk+zevVtmz54t06dPl56eHjO65NSnxsZG+cMf/iBHjhyRpqYm2b59u2RmZsr8+fOd9hnaJxGRl156SZKTk2X79u1y/PhxKSoqkqlTp4rdbjeyK05c3ZWloaFBbDab7Ny50+U+qo3Vr371K6moqJCmpib55JNPpKCgQMaPHy8XLlwQEZHly5fLlClTZO/evXLkyBHJy8uTvLw8t30SUXOsiFSwa9cu2blzp3z11Vfy0UcfSU5OjuTm5kpvb6/09vbKokWLZPLkyVJbW+sU77/++mtHGQsWLJDXXnvN8W9vx7DZ/fI1zg3v16ZNmyQ2NlY2bNggn3/+uTz99NOSnJwsbW1tSvRrUEdHh9x0002ydu1al2WYPV5dXV1y7NgxOXbsmACQV155RY4dO+a4048v8bqwsFDuuusuqaqqko8//limT58uixcvdjx/9uxZycrKkqqqKsdjvpw7KDSEVWK+b98+AeDyr6mpybEPAHnrrbdE5MYtnhYuXCgTJkyQ6OhoycjIkKeeesrQYDbc0D6dOXNG5s+fL2PHjpXY2Fi59dZb5bnnnpOOjg6nfYb2SeTGbZ1WrlwpkyZNktjYWMnPz5f6+noDezGSq8T8+eefl/T0dOnv73e5j2pj9eijj0pqaqrExMTIzTffLI8++qg0NjY6nrfb7fLTn/5UxowZIzfddJN873vfk9bWVrd9ElFzrIhU8N5770lmZqbExMRISkqKlJSUSHt7u4iINDU1uY33+/btc5SRkZEhpaWljn97O4bN7pevcW54v0REXnvtNZkyZYrExMTIvHnz5NChQ0Z1SUQ892vQunXrJD4+fsTjg8weL3d5xBNPPCEivsXrS5cuyeLFiyUhIUGSkpLkxz/+sXR1dTmeH3zvDn2f+nLuoNBgExExcIKeiIiIiIhcCKk15kREREREVsXEnIiIiIhIAUzMiYiIiIgUwMSciIiIiEgBTMyJiIiIiBTAxJyIiIiISAFMzImIiIiIFMDEnIiIiIhIAUzMiYiIiIgUwMSciIiIiEgBTMyJiIiIiBTAxJwM9a9//QspKSn44x//6Hjs008/RUxMDPbs2WNiy4iISEuM90T+s4mImN0ICi8ffvghHnroIXz66afIysrCrFmzUFRUhFdeecXsphERkYYY74n8w8ScTFFSUoLdu3dj7ty5qKurQ3V1NWJjY81uFhERaYzxnsh3TMzJFHa7HXfeeSeam5tRU1OD7Oxss5tEREQ6YLwn8h3XmJMpTp48iZaWFgwMDODUqVNmN4eIiHTCeE/kO86Yk+F6e3sxb948zJo1C1lZWXj11VdRV1eHiRMnmt00IiLSEOM9kX+YmJPhnnvuObz//vv47LPPkJCQgHvuuQejR4/Gjh07zG4aERFpiPGeyD9cykKGqqiowKuvvoqysjIkJSUhIiICZWVlOHjwINauXWt284iISCOM90T+44w5EREREZECOGNORERERKQAJuZERERERApgYk5EREREpAAm5kRERERECmBiTkRERESkACbmREREREQKYGJORERERKQAJuZERERERApgYk5EREREpAAm5kRERERECmBiTkRERESkACbmREREREQK+H8YOruOS7MAdwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 800x800 with 8 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f, ax = plt.subplots(2, 2, tight_layout=True, figsize=(8, 8))\n",
    "for i, L_t in enumerate(L_ts):\n",
    "    sim_data = batch_results[f\"L_t={L_t}\"]\n",
    "    sim_data.plot_field(\n",
    "        field_monitor_name=\"field\",\n",
    "        field_name=\"Ey\",\n",
    "        f=freq0,\n",
    "        ax=ax[i // 2, i % 2],\n",
    "        vmin=-50,\n",
    "        vmax=50,\n",
    "    )\n",
    "    ax[i // 2, i % 2].set_xlim(L_t - 5 * lda0, L_t + lda0)\n",
    "    ax[i // 2, i % 2].set_title(f\"{L_t} $\\mu m$ taper\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d905557e",
   "metadata": {},
   "source": [
    "## Luneburg Lens Size Converter"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0d6f353c",
   "metadata": {},
   "source": [
    "Besides adiabatic tapers, there are many novel size converter designs that can achieve both compactness and low loss. The first example is a taper design based on the principle of a Luneburg lens, which we will demonstrate here. \n",
    "\n",
    "A Luneburg lens is a spherical graded index lens where its refractive index varies with positions. The most common Luneburg lens employees a refractive index profile of $n(r)=\\sqrt{2-(\\frac{r}{R})^2}$, where $r$ is the distance to the center of the lens and $R$ is the radius of the lens. The result of the graded index is that light propagating parellel to the lens will be focused on the edge of the lens.\n",
    "\n",
    "On the other hand, waveguides with different thicknesses have different effective indices. By applying the same principle of a classical Luneburg lens, we can design a spherical waveguide region where the thickness of the waveguide varies such that the effective index follows that of a Luneburg lens. Consequently, the incidet light from the input waveguide can be focused into the output waveguide and we achieve a low loss while having a small device footprint. The device design is adapted from [S Hadi Badri and M M Gilarlue 2019 J. Opt. 21 125802](https://iopscience.iop.org/article/10.1088/2040-8986/ab4fa3).\n",
    "\n",
    "To use this design, we first need to obtain the relationship between the effective index and the waveguide thickness. Here, we ignore the effect of finite waveguide width and only consider the effective index of a slab waveguide. This will leave room for further optimization, which is another topic that we will not cover in this example notebook. We will first use the [ModeSolver](../notebooks/ModeSolver.html?highlight=mode%20solver) to solve for the effective index. Note that the effective index here is that of the waveguide, not to confuse with the effective index used in a 2.5D simulation. The simulation here will be performed in full 3D.\n",
    "\n",
    "<img src=\"img/luneburg_lens_taper.png\" width=\"500\">"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "aa89280d",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-28T04:13:49.638869Z",
     "iopub.status.busy": "2023-03-28T04:13:49.638673Z",
     "iopub.status.idle": "2023-03-28T04:15:57.581531Z",
     "shell.execute_reply": "2023-03-28T04:15:57.580964Z"
    }
   },
   "outputs": [],
   "source": [
    "t_slabs = np.linspace(t_wg, 0.4, 30)  # range of slab waveguide thickness\n",
    "n_eff = np.zeros(len(t_slabs))  # effective index of the slab waveguide\n",
    "\n",
    "for i, t_slab in enumerate(t_slabs):\n",
    "    # build the slab\n",
    "    slab = td.Structure(\n",
    "        geometry=td.Box.from_bounds(\n",
    "            rmin=(-inf_eff, -inf_eff, 0), rmax=(inf_eff, inf_eff, t_slab)\n",
    "        ),\n",
    "        medium=si,\n",
    "    )\n",
    "\n",
    "    # define simulation domain size\n",
    "    Lx = lda0\n",
    "    Ly = 0\n",
    "    Lz = 10 * t_slab\n",
    "    sim_size = (Lx, Ly, Lz)\n",
    "\n",
    "    # define simulation\n",
    "    sim = td.Simulation(\n",
    "        center=(0, 0, t_slab / 2),\n",
    "        size=sim_size,\n",
    "        grid_spec=td.GridSpec.auto(min_steps_per_wvl=50, wavelength=lda0),\n",
    "        structures=[slab, sub],\n",
    "        sources=[],  # for mode solver, no source or monitor is needed\n",
    "        monitors=[],\n",
    "        run_time=1e-15,\n",
    "        boundary_spec=td.BoundarySpec.pml(z=True),\n",
    "    )  # pml is applied in z direction and\n",
    "    # periodic condition is applied in other directions\n",
    "\n",
    "    # define a mode solver\n",
    "    mode_solver = ModeSolver(\n",
    "        simulation=sim,\n",
    "        plane=td.Box(center=(0, 0, t_slab / 2), size=(Lx, 0, Lz)),\n",
    "        mode_spec=td.ModeSpec(num_modes=1, target_neff=n_si),\n",
    "        freqs=[freq0],\n",
    "    )\n",
    "    # solve for the mode\n",
    "    mode_data = mode_solver.solve()\n",
    "\n",
    "    # add the effective index to the n_eff array\n",
    "    n_eff[i] = np.array(mode_data.n_eff[0])\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "80d5367c",
   "metadata": {},
   "source": [
    "To order to obtain the waveguide thickness given an effective index, we perform a polynomial fitting using `Numpy`'s `polyfit` method to the effective index obtained from the previous step."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "dfcd51c1",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-28T04:15:57.583759Z",
     "iopub.status.busy": "2023-03-28T04:15:57.583606Z",
     "iopub.status.idle": "2023-03-28T04:15:57.746415Z",
     "shell.execute_reply": "2023-03-28T04:15:57.745929Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "coefs = np.polyfit(n_eff, t_slabs, 3)\n",
    "t_fit = np.poly1d(coefs)\n",
    "plt.scatter(n_eff, t_slabs, label=\"Simulated results\")\n",
    "plt.plot(n_eff, t_fit(n_eff), label=\"Polynomial fit\")\n",
    "plt.xlabel(\"Effective index\")\n",
    "plt.ylabel(\"Waveguide thickness ($\\mu m$)\")\n",
    "plt.legend()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8cb3d5f6",
   "metadata": {},
   "source": [
    "We will construct a circular Luneburg lens region where the hight of the Si layer changes gradually such that the local effective index follows $n(r)=n_{edge}\\sqrt{2-(\\frac{r}{R})^2}$, where $n_{edge}$ is the effective index at the edge of the circle. To minimize impedance mismatch at the interface between the input/output waveguides and the Luneburg lens, the edge of the Luneburg lens will have the same thickness as the waveguides."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "29900fae",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-28T04:15:57.748533Z",
     "iopub.status.busy": "2023-03-28T04:15:57.748270Z",
     "iopub.status.idle": "2023-03-28T04:15:57.885273Z",
     "shell.execute_reply": "2023-03-28T04:15:57.884755Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n_edge = n_eff[0]  # effective index at the edge of the luneburg lens\n",
    "L_a = 11  # diameter of the luneburg lens region\n",
    "R_lens = L_a / 2  # radius of the luneburg lens\n",
    "r = np.linspace(0, R_lens, 100)  # distance to the center of the luneburg lens\n",
    "n_lens = n_edge * np.sqrt(2 - (r / R_lens) ** 2)  # effective index of the luneburg lens\n",
    "t_lens = t_fit(n_lens)  # thickness of the luneburg lens\n",
    "t_lens[-1] = t_wg  # make sure the edge thickness is the same as the waveguide thickness\n",
    "\n",
    "# plot the thickness profile of the luneburg lens\n",
    "plt.plot(r, t_lens)\n",
    "plt.xlabel(\"Distance to the center of the lens ($\\mu m$)\")\n",
    "plt.ylabel(\"Si thickness ($\\mu m$)\")\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c4dc99d6",
   "metadata": {},
   "source": [
    "From the above thickness profile, we can construct the Luneburg lens strucutre using a series of [Cylinders](../_autosummary/tidy3d.Cylinder.html?highlight=cylinder). The radius and length of each cylinder follows the above plot. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "aeb13295",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-28T04:15:57.887333Z",
     "iopub.status.busy": "2023-03-28T04:15:57.887183Z",
     "iopub.status.idle": "2023-03-28T04:15:57.912068Z",
     "shell.execute_reply": "2023-03-28T04:15:57.910632Z"
    }
   },
   "outputs": [],
   "source": [
    "lens = []\n",
    "for i in range(len(r)):\n",
    "    lens.append(\n",
    "        td.Structure(\n",
    "            geometry=td.Cylinder(\n",
    "                center=(0, 0, t_lens[i] / 2), radius=r[i], length=t_lens[i]\n",
    "            ),\n",
    "            medium=si,\n",
    "        )\n",
    "    )\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "34ca9a8f",
   "metadata": {},
   "source": [
    "Build the input and output waveguides."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "dc1301a0",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-28T04:15:57.917499Z",
     "iopub.status.busy": "2023-03-28T04:15:57.917141Z",
     "iopub.status.idle": "2023-03-28T04:15:57.944550Z",
     "shell.execute_reply": "2023-03-28T04:15:57.943969Z"
    }
   },
   "outputs": [],
   "source": [
    "wg_in = td.Structure(\n",
    "    geometry=td.Box.from_bounds(\n",
    "        rmin=(-inf_eff, -w_in / 2, 0), rmax=(0, w_in / 2, t_wg)\n",
    "    ),\n",
    "    medium=si,\n",
    ")\n",
    "wg_out = td.Structure(\n",
    "    geometry=td.Box.from_bounds(\n",
    "        rmin=(0, -w_out / 2, 0), rmax=(inf_eff, w_out / 2, t_wg)\n",
    "    ),\n",
    "    medium=si,\n",
    ")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "c50e9c35",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-28T04:15:57.946537Z",
     "iopub.status.busy": "2023-03-28T04:15:57.946369Z",
     "iopub.status.idle": "2023-03-28T04:15:58.531076Z",
     "shell.execute_reply": "2023-03-28T04:15:58.530580Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# define the simulation domain size\n",
    "Lx = L_a + 2 * lda0\n",
    "Ly = L_a + 3 * lda0\n",
    "Lz = t_wg + 1.5 * lda0\n",
    "sim_size = (Lx, Ly, Lz)\n",
    "\n",
    "# add a mode source that launches the TE0 mode at the input waveguide\n",
    "mode_source = td.ModeSource(\n",
    "    center=(-lda0 / 2 - R_lens, 0, t_wg / 2),\n",
    "    size=(0, 2 * w_in, 6 * t_wg),\n",
    "    source_time=td.GaussianPulse(freq0=freq0, fwidth=freq0 / 10),\n",
    "    direction=\"+\",\n",
    "    mode_spec=td.ModeSpec(num_modes=1, target_neff=n_si),\n",
    "    mode_index=0,\n",
    ")\n",
    "\n",
    "# add a field monitor to visualize the field distribution at z=t_wg/2\n",
    "field_monitor = td.FieldMonitor(\n",
    "    center=(0, 0, t_wg / 2), size=(td.inf, td.inf, 0), freqs=[freq0], name=\"field\"\n",
    ")\n",
    "\n",
    "# add a flux monitor to measure transmission to the output waveguide\n",
    "flux_monitor = td.FluxMonitor(\n",
    "    center=(lda0 / 2 + R_lens, 0, t_wg / 2),\n",
    "    size=(0, 4 * w_out, 6 * t_wg),\n",
    "    freqs=freqs,\n",
    "    name=\"flux\",\n",
    ")\n",
    "\n",
    "run_time = 2e-12  # simulation run time\n",
    "\n",
    "# define simulation\n",
    "sim = td.Simulation(\n",
    "    center=(0, 0, t_wg / 2),\n",
    "    size=sim_size,\n",
    "    grid_spec=td.GridSpec.auto(min_steps_per_wvl=20, wavelength=lda0),\n",
    "    structures=lens + [wg_in, wg_out, sub],\n",
    "    sources=[mode_source],\n",
    "    monitors=[field_monitor, flux_monitor],\n",
    "    run_time=run_time,\n",
    "    boundary_spec=td.BoundarySpec.all_sides(boundary=td.PML()),\n",
    "    symmetry=(0, -1, 0),\n",
    ")\n",
    "\n",
    "# visualize the simulation setup\n",
    "sim.plot(z=t_wg / 4)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5e61baa3",
   "metadata": {},
   "source": [
    "Submit the simulation to the server."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "688ed54e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-28T04:15:58.533133Z",
     "iopub.status.busy": "2023-03-28T04:15:58.532964Z",
     "iopub.status.idle": "2023-03-28T04:22:40.294465Z",
     "shell.execute_reply": "2023-03-28T04:22:40.293877Z"
    }
   },
   "outputs": [
    {
     "data": {
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       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-0980cb7f-ecde-40fc-ba26-207b4e24623ev1'</span>.                                             <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[14:22:34]\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'luneburg_lens_taper'\u001b[0m with task_id                                            \u001b]8;id=218554;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=723839;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#139\u001b\\\u001b[2m139\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m           \u001b[0m\u001b[32m'fdve-0980cb7f-ecde-40fc-ba26-207b4e24623ev1'\u001b[0m.                                             \u001b[2m             \u001b[0m\n"
      ]
     },
     "metadata": {},
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     "data": {
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      "text/plain": [
       "Output()"
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     },
     "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"
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     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">[14:22:40] </span>status = queued                                                                            <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#269\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">269</span></a>\n",
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      "text/plain": [
       "\u001b[2;36m[14:22:40]\u001b[0m\u001b[2;36m \u001b[0mstatus = queued                                                                            \u001b]8;id=458246;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=70610;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#269\u001b\\\u001b[2m269\u001b[0m\u001b]8;;\u001b\\\n"
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    },
    {
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      "application/vnd.jupyter.widget-view+json": {
       "model_id": "",
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       "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\">[14:22:45] </span>status = preprocess                                                                        <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#263\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">263</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[14:22:45]\u001b[0m\u001b[2;36m \u001b[0mstatus = preprocess                                                                        \u001b]8;id=277438;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=51908;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#263\u001b\\\u001b[2m263\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
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    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
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    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">[14:22:51] </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.591</span>. Use <span style=\"color: #008000; text-decoration-color: #008000\">'web.real_cost(task_id)'</span> to get the billed FlexCredit cost <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#286\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">286</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span>after a simulation run.                                                                    <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[14:22:51]\u001b[0m\u001b[2;36m \u001b[0mMaximum FlexCredit cost: \u001b[1;36m0.591\u001b[0m. Use \u001b[32m'web.real_cost\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m to get the billed FlexCredit cost \u001b]8;id=775295;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=29114;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#286\u001b\\\u001b[2m286\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m           \u001b[0mafter a simulation run.                                                                    \u001b[2m             \u001b[0m\n"
      ]
     },
     "metadata": {},
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    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span>starting up solver                                                                         <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#290\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">290</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mstarting up solver                                                                         \u001b]8;id=688376;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=125265;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#290\u001b\\\u001b[2m290\u001b[0m\u001b]8;;\u001b\\\n"
      ]
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span>running solver                                                                             <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#300\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">300</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mrunning solver                                                                             \u001b]8;id=485462;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=119618;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#300\u001b\\\u001b[2m300\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
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       "Output()"
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">[14:29:02] </span>early shutoff detected, exiting.                                                           <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#313\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">313</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[14:29:02]\u001b[0m\u001b[2;36m \u001b[0mearly shutoff detected, exiting.                                                           \u001b]8;id=340633;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=332138;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#313\u001b\\\u001b[2m313\u001b[0m\u001b]8;;\u001b\\\n"
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
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       "</pre>\n"
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       "\n"
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      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span>status = postprocess                                                                       <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#330\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">330</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mstatus = postprocess                                                                       \u001b]8;id=736689;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=900968;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#330\u001b\\\u001b[2m330\u001b[0m\u001b]8;;\u001b\\\n"
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       "Output()"
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">[14:29:16] </span>status = success                                                                           <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#337\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">337</span></a>\n",
       "</pre>\n"
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       "\u001b[2;36m[14:29:16]\u001b[0m\u001b[2;36m \u001b[0mstatus = success                                                                           \u001b]8;id=396947;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=519022;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#337\u001b\\\u001b[2m337\u001b[0m\u001b]8;;\u001b\\\n"
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       "Output()"
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       "</pre>\n"
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       "\n"
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    {
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">[14:29:21] </span>loading SimulationData from data/simulation_data.hdf5                                      <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#512\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">512</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[14:29:21]\u001b[0m\u001b[2;36m \u001b[0mloading SimulationData from data/simulation_data.hdf5                                      \u001b]8;id=632665;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=170414;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#512\u001b\\\u001b[2m512\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
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   ],
   "source": [
    "job = web.Job(simulation=sim, task_name=\"luneburg_lens_taper\", verbose=True)\n",
    "sim_data = job.run(path=\"data/simulation_data.hdf5\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "96585808",
   "metadata": {},
   "source": [
    "After the simulation is complete, we can visualize the field distribution. In the Luneburg lens region, the wave front converges into a focus and the coupling to the output waveguide is efficient."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "1855adf3",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-28T04:22:46.062734Z",
     "iopub.status.busy": "2023-03-28T04:22:46.062598Z",
     "iopub.status.idle": "2023-03-28T04:22:47.725268Z",
     "shell.execute_reply": "2023-03-28T04:22:47.724747Z"
    }
   },
   "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(field_monitor_name=\"field\", field_name=\"Ey\", vmin=-50, vmax=50)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9be095ca",
   "metadata": {},
   "source": [
    "More importantly, we need to quantitatively examine the insertion loss and compare that to a linear taper. The Luneburg lens is only about 10 $\\mu m$ in length. Here, we plot the insertion loss of the Luneburg lens size converter to a 50 $\\mu m$ linear taper. From the plot, we can see that the Luneburg lens outperforms the 50 $\\mu m$ linear taper while being only 1/5 in size."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "874a5943",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-28T04:22:47.727700Z",
     "iopub.status.busy": "2023-03-28T04:22:47.727489Z",
     "iopub.status.idle": "2023-03-28T04:22:47.924231Z",
     "shell.execute_reply": "2023-03-28T04:22:47.923742Z"
    }
   },
   "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\">[14:29:23] </span>loading SimulationData from data\\fdve-<span style=\"color: #ffff00; text-decoration-color: #ffff00\">287eef2b-bd9f-4f87-8a54-22dd34c76acb</span>v1.hdf5          <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#512\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">512</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[14:29:23]\u001b[0m\u001b[2;36m \u001b[0mloading SimulationData from data\\fdve-\u001b[93m287eef2b-bd9f-4f87-8a54-22dd34c76acb\u001b[0mv1.hdf5          \u001b]8;id=328703;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=543594;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#512\u001b\\\u001b[2m512\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "T_luneburg = sim_data[\"flux\"].flux  # transmission of the luneburg lens\n",
    "sim_data_linear = batch_results[f\"L_t=50\"]  # simulation of the 50 um lienar taper\n",
    "T_linear = sim_data_linear[\"flux\"].flux  # transmission of the linear taper\n",
    "\n",
    "# plotting the insertion loss of the luneburg lens and the linear taper\n",
    "plt.plot(ldas, 10 * np.log10(T_luneburg), label=\"Luneburg lens taper\")\n",
    "plt.plot(ldas, 10 * np.log10(T_linear), label=\"50 $\\mu m$ linear taper\")\n",
    "plt.title(\"Comparison between Luneburg lens and linear tapers\")\n",
    "plt.ylim(-3, 0)\n",
    "plt.xlabel(\"Wavelength ($\\mu m$)\")\n",
    "plt.ylabel(\"Insertion loss (dB)\")\n",
    "plt.legend()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "18fa3948",
   "metadata": {},
   "source": [
    "## Semi-lens Beam Expander "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "54e7ae80",
   "metadata": {},
   "source": [
    "The Luneburg lens design introduced in the previous section requires a more complicated fabrication since the thickness of the Si layer needs to gradually vary. This is not desirable in many cases. There are a number of other designs that circumvent this issue. One such example is introduced in [Siamak Abbaslou, Robert Gatdula, Ming Lu, Aaron Stein, and Wei Jiang, \"Ultra-short beam expander with segmented curvature control: the emergence of a semi-lens,\" Opt. Lett. 42, 4383-4386 (2017)](https://opg.optica.org/ol/abstract.cfm?uri=ol-42-21-4383), where a compact waveguide taper is segmented into 6 segments and oarticle swarm optimization algorithm is used to optimize the shape of each segment. The result of the optimization is a semi-lens structure that also outperforms the conventional adiabatic taper of the same length by a great margin. \n",
    "\n",
    "In the previous models, the input waveguide is wider than the output waveguide. In this case, we model a beam expander so the output waveguide is 9 $\\mu m$ wide and the input waveguide is 450 nm wide. \n",
    "\n",
    "<img src=\"img/semi_lens_taper.png\" width=\"500\">"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "4aafe94a",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-28T04:22:47.926688Z",
     "iopub.status.busy": "2023-03-28T04:22:47.926480Z",
     "iopub.status.idle": "2023-03-28T04:22:47.945427Z",
     "shell.execute_reply": "2023-03-28T04:22:47.944866Z"
    }
   },
   "outputs": [],
   "source": [
    "t_wg = 0.26  # thickness of the waveguide\n",
    "w_0 = 0.45  # width of the input waveguide\n",
    "w_6 = 9  # width of the output waveguide\n",
    "\n",
    "# optimized design parameters\n",
    "m_i = [3, 1.1, 0.01, 3, 0.32, 2.55]\n",
    "w_i = [w_0, 1.7, 3.3, 9.06, 10, 3.19, w_6]\n",
    "L_i = [1, 3.61, 0.05, 0.7, 3.11, 1.03]\n",
    "\n",
    "L_tot = np.sum(L_i)  # total length of the device\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5d0141c0",
   "metadata": {},
   "source": [
    "The width of each segment of the device is described by $w(x_i)=(w_i-w_{i+1})|\\frac{x_i-L_i}{L_i}|^{m_i}$, where $i=1,2,...,6$, $w_i$ is the width at the begining of each segment, $L_i$ is the length of each segment, and $m_i$ is the curvature of each segment. The optimized values of $w_i$, $L_i$, and $m_i$ are listed above.\n",
    "\n",
    "The structure of the deive will be constructed using a series of [PolySlabs](../_autosummary/tidy3d.PolySlab.html?highlight=polyslab). The vertices are calculated from the above equation and the optimized parameters."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "a7a76f40",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-28T04:22:47.947820Z",
     "iopub.status.busy": "2023-03-28T04:22:47.947644Z",
     "iopub.status.idle": "2023-03-28T04:22:48.078848Z",
     "shell.execute_reply": "2023-03-28T04:22:48.078309Z"
    }
   },
   "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.array([-inf_eff])  # x coordinate of the vertices\n",
    "Y = np.array([w_0 / 2])  # y coordinate of the vertices\n",
    "\n",
    "# obtain the vertices in the upper half of each segment\n",
    "for i in range(6):\n",
    "    if i == 0:\n",
    "        x = np.linspace(0, L_i[0], 60)\n",
    "    else:\n",
    "        x = np.linspace(np.sum(L_i[0:i]), np.sum(L_i[0 : i + 1]), 60)\n",
    "    x_i = x - np.sum(L_i[0:i])\n",
    "    y = (w_i[i] - w_i[i + 1]) * np.abs((x_i - L_i[i]) / L_i[i]) ** m_i[i] + w_i[i + 1]\n",
    "    X = np.append(X, x)\n",
    "    Y = np.append(Y, y / 2)\n",
    "    plt.plot(x, y / 2)\n",
    "    plt.plot(x, -y / 2)\n",
    "\n",
    "plt.title(\"vertices of the semi-lens structure\")\n",
    "\n",
    "# obtain the vertices in the lower half of the structure\n",
    "X = np.append(X, inf_eff)\n",
    "X = np.concatenate((X, np.flipud(X)))\n",
    "Y = np.append(Y, w_6 / 2)\n",
    "Y = np.concatenate((Y, -np.flipud(Y)))\n",
    "\n",
    "vertices = np.transpose(np.vstack((X, Y)))\n",
    "\n",
    "# construct the semi-lens structure using the above vertices\n",
    "semi_lens = td.Structure(\n",
    "    geometry=td.PolySlab(vertices=vertices, axis=2, slab_bounds=(0, t_wg)), medium=si\n",
    ")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c08344ce",
   "metadata": {},
   "source": [
    "The simulation will be defined in a similar way as previou simulations. Since in this model, the output waveguide supports higher order modes, we add an additional [ModeMonitor](../_autosummary/tidy3d.ModeMonitor.html) to investigate the mode composition at the output waveguide. Ideally, the fundamental TE mode should be dominant."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "e585a9ed",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-28T04:22:48.081444Z",
     "iopub.status.busy": "2023-03-28T04:22:48.081265Z",
     "iopub.status.idle": "2023-03-28T04:22:48.102346Z",
     "shell.execute_reply": "2023-03-28T04:22:48.101757Z"
    }
   },
   "outputs": [],
   "source": [
    "# define the simulation domain size\n",
    "Lx = L_tot + 4 * lda0\n",
    "Ly = np.max(w_i) + 4 * lda0\n",
    "Lz = 10 * t_wg\n",
    "\n",
    "sim_size = (Lx, Ly, Lz)\n",
    "\n",
    "# add a mode source that launches the TE0 mode at the input waveguide\n",
    "mode_spec = td.ModeSpec(num_modes=5, target_neff=n_si)\n",
    "mode_source = td.ModeSource(\n",
    "    center=(-lda0, 0, t_wg / 2),\n",
    "    size=(0, 4 * w_0, 5 * t_wg),\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 field monitor to visualize the field distribution at z=t_wg/2\n",
    "field_monitor = td.FieldMonitor(\n",
    "    center=(0, 0, t_wg / 2), size=(td.inf, td.inf, 0), freqs=[freq0], name=\"field\"\n",
    ")\n",
    "\n",
    "# add a flux monitor to measure transmission to the output waveguide\n",
    "flux_monitor = td.FluxMonitor(\n",
    "    center=(L_tot + 2 * lda0, 0, t_wg / 2),\n",
    "    size=(0, 1.2 * w_6, 5 * t_wg),\n",
    "    freqs=freqs,\n",
    "    name=\"flux\",\n",
    ")\n",
    "\n",
    "# add a mode source to measure the mode composition at the output waveguide\n",
    "mode_monitor = td.ModeMonitor(\n",
    "    center=(L_tot + 2 * lda0, 0, t_wg / 2),\n",
    "    size=(0, 1.2 * w_6, 5 * t_wg),\n",
    "    freqs=freqs,\n",
    "    mode_spec=mode_spec,\n",
    "    name=\"mode\",\n",
    ")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "ca27323f",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-28T04:22:48.105083Z",
     "iopub.status.busy": "2023-03-28T04:22:48.104915Z",
     "iopub.status.idle": "2023-03-28T04:22:48.363505Z",
     "shell.execute_reply": "2023-03-28T04:22:48.363034Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# define simulation\n",
    "sim = td.Simulation(\n",
    "    center=(L_tot / 2 + lda0 / 2, 0, t_wg / 2),\n",
    "    size=sim_size,\n",
    "    grid_spec=td.GridSpec.auto(min_steps_per_wvl=20, wavelength=lda0),\n",
    "    structures=[semi_lens, sub],\n",
    "    sources=[mode_source],\n",
    "    monitors=[field_monitor, flux_monitor, mode_monitor],\n",
    "    run_time=run_time,\n",
    "    boundary_spec=td.BoundarySpec.all_sides(boundary=td.PML()),\n",
    "    symmetry=(0, -1, 0),\n",
    ")\n",
    "\n",
    "# visualize the simulation setup\n",
    "sim.plot(z=t_wg / 2)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "537857f5",
   "metadata": {},
   "source": [
    "Submit the simulation to the server."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "4e4f954a",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-28T04:22:48.365500Z",
     "iopub.status.busy": "2023-03-28T04:22:48.365319Z",
     "iopub.status.idle": "2023-03-28T04:25:12.436829Z",
     "shell.execute_reply": "2023-03-28T04:25:12.436234Z"
    }
   },
   "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\">[14:29:24] </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'semi_lens_beam_expander'</span> with task_id                                        <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#139\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">139</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-f4778098-9681-4b41-8294-f7c7d3fa80cav1'</span>.                                             <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[14:29:24]\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'semi_lens_beam_expander'\u001b[0m with task_id                                        \u001b]8;id=355799;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=260233;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#139\u001b\\\u001b[2m139\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m           \u001b[0m\u001b[32m'fdve-f4778098-9681-4b41-8294-f7c7d3fa80cav1'\u001b[0m.                                             \u001b[2m             \u001b[0m\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "af6fd8bf685944b2b1c3ec2edcbc961b",
       "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\">[14:29:29] </span>status = queued                                                                            <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#269\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">269</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[14:29:29]\u001b[0m\u001b[2;36m \u001b[0mstatus = queued                                                                            \u001b]8;id=720130;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=341898;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#269\u001b\\\u001b[2m269\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
     "metadata": {},
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    },
    {
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      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">[14:29:33] </span>status = preprocess                                                                        <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#263\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">263</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[14:29:33]\u001b[0m\u001b[2;36m \u001b[0mstatus = preprocess                                                                        \u001b]8;id=386578;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=193985;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#263\u001b\\\u001b[2m263\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
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    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
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    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">[14:29:39] </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.250</span>. Use <span style=\"color: #008000; text-decoration-color: #008000\">'web.real_cost(task_id)'</span> to get the billed FlexCredit cost <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#286\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">286</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span>after a simulation run.                                                                    <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[14:29:39]\u001b[0m\u001b[2;36m \u001b[0mMaximum FlexCredit cost: \u001b[1;36m0.250\u001b[0m. Use \u001b[32m'web.real_cost\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m to get the billed FlexCredit cost \u001b]8;id=684;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=568160;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#286\u001b\\\u001b[2m286\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m           \u001b[0mafter a simulation run.                                                                    \u001b[2m             \u001b[0m\n"
      ]
     },
     "metadata": {},
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    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span>starting up solver                                                                         <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#290\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">290</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mstarting up solver                                                                         \u001b]8;id=388090;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=501548;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#290\u001b\\\u001b[2m290\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
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    {
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span>running solver                                                                             <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#300\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">300</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mrunning solver                                                                             \u001b]8;id=634607;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=630633;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#300\u001b\\\u001b[2m300\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
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    },
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       "Output()"
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">[14:31:14] </span>early shutoff detected, exiting.                                                           <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#313\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">313</span></a>\n",
       "</pre>\n"
      ],
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       "\u001b[2;36m[14:31:14]\u001b[0m\u001b[2;36m \u001b[0mearly shutoff detected, exiting.                                                           \u001b]8;id=28407;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=538152;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#313\u001b\\\u001b[2m313\u001b[0m\u001b]8;;\u001b\\\n"
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
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     },
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       "</pre>\n"
      ],
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       "\n"
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      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span>status = postprocess                                                                       <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#330\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">330</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mstatus = postprocess                                                                       \u001b]8;id=516982;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=218804;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#330\u001b\\\u001b[2m330\u001b[0m\u001b]8;;\u001b\\\n"
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       "Output()"
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">[14:31:46] </span>status = success                                                                           <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#337\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">337</span></a>\n",
       "</pre>\n"
      ],
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       "\u001b[2;36m[14:31:46]\u001b[0m\u001b[2;36m \u001b[0mstatus = success                                                                           \u001b]8;id=102703;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=600998;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#337\u001b\\\u001b[2m337\u001b[0m\u001b]8;;\u001b\\\n"
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       "Output()"
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">\n",
       "</pre>\n"
      ],
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       "\n"
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     },
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    },
    {
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">[14:31:49] </span>loading SimulationData from data/simulation_data.hdf5                                      <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#512\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">512</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[14:31:49]\u001b[0m\u001b[2;36m \u001b[0mloading SimulationData from data/simulation_data.hdf5                                      \u001b]8;id=112672;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=786498;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#512\u001b\\\u001b[2m512\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
     "metadata": {},
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   ],
   "source": [
    "job = web.Job(simulation=sim, task_name=\"semi_lens_beam_expander\", verbose=True)\n",
    "sim_data = job.run(path=\"data/simulation_data.hdf5\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a900c63a",
   "metadata": {},
   "source": [
    "Plot the field distribution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "f260899d",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-28T04:25:14.635024Z",
     "iopub.status.busy": "2023-03-28T04:25:14.634887Z",
     "iopub.status.idle": "2023-03-28T04:25:16.093649Z",
     "shell.execute_reply": "2023-03-28T04:25:16.092945Z"
    }
   },
   "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(field_monitor_name=\"field\", field_name=\"Ey\", vmin=-30, vmax=30)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5b902449",
   "metadata": {},
   "source": [
    "Lastly, plot the insertion loss and the mode composition at the output waveguide. The insertion loss is about -0.5 dB, much better than the linear taper of the same length.\n",
    "\n",
    "Due to the symmetry, the output power can only excite even TE modes. About 80% of the power is in the fundamental TE mode. The rest of the power is mostly in the TE2 mode."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "7a7065f2",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-28T04:25:16.095721Z",
     "iopub.status.busy": "2023-03-28T04:25:16.095577Z",
     "iopub.status.idle": "2023-03-28T04:25:16.478396Z",
     "shell.execute_reply": "2023-03-28T04:25:16.477916Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f, (ax1, ax2) = plt.subplots(1, 2, tight_layout=True, figsize=(10, 5))\n",
    "T = sim_data[\"flux\"].flux\n",
    "\n",
    "plt.sca(ax1)\n",
    "plt.plot(ldas, 10 * np.log10(T))\n",
    "plt.xlim(1.5, 1.6)\n",
    "plt.ylim(-4, 0)\n",
    "plt.xlabel(\"Wavelength ($\\mu m$)\")\n",
    "plt.ylabel(\"Insertion loss (dB)\")\n",
    "\n",
    "plt.sca(ax2)\n",
    "mode_amp = sim_data[\"mode\"].amps.sel(direction=\"+\")\n",
    "mode_power = np.abs(mode_amp) ** 2 / T\n",
    "plt.plot(ldas, mode_power)\n",
    "plt.xlim(1.5, 1.6)\n",
    "plt.xlabel(\"Wavelength (nm)\")\n",
    "plt.ylabel(\"Power share at Port1 (%)\")\n",
    "plt.legend([\"TE0\", \"TE2\", \"TE4\", \"TE6\", \"TE8\"])\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "fd077846",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  },
  "widgets": {
   "application/vnd.jupyter.widget-state+json": {
    "state": {
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      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {
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       "display": null,
       "flex": null,
       "flex_flow": null,
       "grid_area": null,
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       "grid_gap": null,
       "grid_row": null,
       "grid_template_areas": null,
       "grid_template_columns": null,
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       "justify_content": null,
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     "0b76f00144d34520b49aa139b25d8327": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
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       "_model_module_version": "1.0.0",
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       "_view_count": null,
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       "_view_module_version": "1.0.0",
       "_view_name": "OutputView",
       "layout": "IPY_MODEL_ce596f5b3a634ae3bc4c0d3e1e524a5b",
       "msg_id": "",
       "outputs": [
        {
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