{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "81b358de",
   "metadata": {},
   "source": [
    "# Dielectric waveguide with scale-invariant effective index"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4c72bcc1",
   "metadata": {},
   "source": [
    "Most dielectric waveguides rely on total internal reflection (TIR) to confine light in the highest index material. Existing options to access lower index materials have limitations like losses, narrow bandwidth, or subwavelength modal size. The research proposed in `Rodrigues, J.R., Dave, U.D., Mohanty, A. et al. All-dielectric scale invariant waveguide. Nat Commun 14, 6675 (2023).`[DOI:10.1038/s41467-023-42234-1](https://doi.org/10.1038/s41467-023-42234-1) demonstrates a new dielectric waveguiding mechanism that confines light in low refractive index materials on a chip. The authors show that at a critical point, the transverse wavevector transitions from imaginary to real, creating an optical mode that is uniform and scale invariant irrespective of geometry. This allows substantial light localization in a low index layer. Using a symmetric SiN/SiON/SiO$_2$ waveguide structure, they experimentally confirm the scale invariance near this critical point. The effective index remains nearly constant even as the waveguide dimensions change. Imaging reveals a non-Gaussian, uniform modal profile unlike a standard waveguide. \n",
    "\n",
    "This unusual guiding mode arises from harnessing evanescent waves at the critical point. The proposed mechanism is general and could enable enhanced light-matter interactions, nonlinear effects, and electro-optic modulation by confining light in low index media. The CMOS-compatible demonstration could have important implications for integrated photonics and on-chip light manipulation.\n",
    "\n",
    "In this notebook, we use `Tidy3D`'s [ModeSolver](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.mode.ModeSolver.html?highlight=modesolver) to investigate the proposed scale invariant waveguide design. Two ways to run the mode solving are demonstrated: via a regular `Tidy3D` [Simulation](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.Simulation.html) and via the [waveguide plugin](https://www.flexcompute.com/tidy3d/examples/notebooks/WaveguidePluginDemonstration/). The result confirms that the effective index of the waveguide mode is nearly constant when the waveguide geometry is changed. In comparison, regular strip waveguide shows a strong dispersion. \n",
    "\n",
    "<img src=\"img/scale_invariant_waveguide.png\" width=\"400\" alt=\"Schematic of the waveguide\">\n",
    "\n",
    "For more integrated photonic examples such as the [8-Channel mode and polarization de-multiplexer](https://www.flexcompute.com/tidy3d/examples/notebooks/8ChannelDemultiplexer/), the [broadband bi-level taper polarization rotator-splitter](https://www.flexcompute.com/tidy3d/examples/notebooks/BilevelPSR/), and the [broadband directional coupler](https://www.flexcompute.com/tidy3d/examples/notebooks/BroadbandDirectionalCoupler/), please visit our [examples page](https://www.flexcompute.com/tidy3d/examples/).\n",
    "\n",
    "If you are new to the finite-difference time-domain (FDTD) method, we highly recommend going through our [FDTD101](https://www.flexcompute.com/fdtd101/) tutorials. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "1f8ab3b9",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import tidy3d as td\n",
    "import tidy3d.web as web\n",
    "from tidy3d.plugins import waveguide\n",
    "from tidy3d.plugins.mode import ModeSolver\n",
    "from tidy3d.plugins.mode.web import run as run_mode_solver"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "54268e87",
   "metadata": {},
   "source": [
    "## Modes of the Scale-invariant Waveguide"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d0f34afb",
   "metadata": {},
   "source": [
    "In this notebook, we are only concerned with modes at the wavelength of 1550 nm. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "4339417d",
   "metadata": {},
   "outputs": [],
   "source": [
    "lda0 = 1.55  # wavelength of interest\n",
    "freq0 = td.C_0 / lda0  # frequency of interest"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0fc8c6f1",
   "metadata": {},
   "source": [
    "The scale-invariant waveguide consists of a medium-index core sandwiched by two high-index layers. The entire waveguide is embedded in a low-index cladding. Here we define the refractive index of the three materials."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "65f6f8db",
   "metadata": {},
   "outputs": [],
   "source": [
    "n_H = 1.99  # refractive index of the high-index material\n",
    "n_S = 1.76  # refractive index of the medium-index material\n",
    "n_L = 1.44  # refractive index of the low-index material\n",
    "\n",
    "# define medium using the index\n",
    "mat_H = td.Medium(permittivity=n_H**2)\n",
    "mat_S = td.Medium(permittivity=n_S**2)\n",
    "mat_L = td.Medium(permittivity=n_L**2)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "eca1dda7",
   "metadata": {},
   "source": [
    "The width of the waveguide is kept at 1 $\\mu m$. The thickness of the high-index layer is 226 nm. We will investigate the mode properties of the waveguide at various core thicknesses from 0 to 1 $\\mu m$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "5b914131",
   "metadata": {},
   "outputs": [],
   "source": [
    "W = 1  # width of the waveguide\n",
    "t = 0.226  # thickness of the high-index layer\n",
    "ds = np.linspace(0, 1, 6)  # thicknesses of the core layer"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "aa2b307e",
   "metadata": {},
   "source": [
    "Define a helper function `make_sim` that takes the core thickness as the input argument, defines the [Structures](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.Structure.html), and returns a [Simulation](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.Simulation.html). \n",
    "\n",
    "Since we are only going to perform mode solving, we are not going to actually run the [Simulation](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.Simulation.html) itself. However, the `size`, `grid_spec`, `structures`, `medium`, and `symmetry` properties are going to be used by the [ModeSolver](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.mode.ModeSolver.html?highlight=modesolver). The `run_time` is irrelevant so can be set to an arbitrary value. Since we are solving for the fundamental quasi-TE mode and the waveguide geometry is symmetric, we can set `symmetry=(-1,1,0)`. For more information on how to properly use symmetry, refer to our previous [tutorial](https://www.flexcompute.com/tidy3d/examples/notebooks/Symmetry/)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "0a8291e2",
   "metadata": {},
   "outputs": [],
   "source": [
    "def make_sim(d):\n",
    "    dummy_length = 1  # dummy waveguide length in the z direction\n",
    "\n",
    "    # define structures\n",
    "    if d > 0:\n",
    "        top_layer = td.Structure(\n",
    "            geometry=td.Box.from_bounds(\n",
    "                rmin=(-W / 2, d / 2, -dummy_length / 2), rmax=(W / 2, d / 2 + t, dummy_length / 2)\n",
    "            ),\n",
    "            medium=mat_H,\n",
    "        )\n",
    "\n",
    "        bottom_layer = td.Structure(\n",
    "            geometry=td.Box.from_bounds(\n",
    "                rmin=(-W / 2, -(d / 2 + t), -dummy_length / 2),\n",
    "                rmax=(W / 2, -d / 2, dummy_length / 2),\n",
    "            ),\n",
    "            medium=mat_H,\n",
    "        )\n",
    "\n",
    "        middle_layer = td.Structure(\n",
    "            geometry=td.Box.from_bounds(\n",
    "                rmin=(-W / 2, -d / 2, -dummy_length / 2), rmax=(W / 2, d / 2, dummy_length / 2)\n",
    "            ),\n",
    "            medium=mat_S,\n",
    "        )\n",
    "        structures = [top_layer, bottom_layer, middle_layer]\n",
    "\n",
    "    else:\n",
    "        waveguide = td.Structure(geometry=td.Box(size=(W, 2 * t, dummy_length)), medium=mat_H)\n",
    "        structures = [waveguide]\n",
    "\n",
    "    # define simulation\n",
    "    sim = td.Simulation(\n",
    "        size=(4 * W, 4 * (2 * t + d), dummy_length / 2),\n",
    "        grid_spec=td.GridSpec.auto(min_steps_per_wvl=20, wavelength=lda0),\n",
    "        structures=structures,\n",
    "        run_time=1e-12,\n",
    "        medium=mat_L,\n",
    "        symmetry=(-1, 1, 0),\n",
    "    )\n",
    "\n",
    "    return sim"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f21c49d7",
   "metadata": {},
   "source": [
    "To ensure the simulation is correctly defined, we define one and visualize the permittivity distribution of it. As expected, we see a medium-index core surrounded by two high-index layers in a low-index background."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "2a3fcc07",
   "metadata": {},
   "outputs": [
    {
     "data": {
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n8PKXvxzf9/nud7+LaZq84x3vAGDlypX8+te/5uijj2bXXXdl48aNXH311SxatGjCEIKpnPfe976XH/zgB3z4wx/m7rvv5rWvfS1BEPDkk0/ygx/8gDvuuIODDz6YPffck09/+tNceumlvP71r+ftb387ruty//33s3DhQlatWgWEN9DVq1dz2WWXseeeezJ37tyas9BobNvmiiuu4H3vex+HH344J510Ui10ZLfdduMTn/hEq29bHYcddhgDAwOccsopfOxjH0MIwXe/+92GN+yDDjqIm2++mXPOOYdDDjmEnp4ejjnmmIbX/djHPsaLL77Iueeey0033VTXtnTpUpYuXQq0tme5aNEizj77bL7whS/geR6HHHIIt912G7/5zW/43ve+V7c8ed5553HDDTfwzDPPsNtuuwGhWL7mNa/hfe97H48//jizZ8/m6quvJggCLrnkkrqxvvCFL3DsscdyxBFHcOKJJ/Loo49y1VVX8YEPfGBc6MpYEokERxxxBL/85S9ZuXLluPbbb7+dd7/73fzTP/0Tf/7zn7n22mtJpVL84he/4JBDDuFtb3tb069NIzzP45577uEjH/lILNfTzBC2iQ+uJpK//e1v6uSTT1Zz5sxRruuq3XffXZ155pnjkhI0Ci9RKgwV2XvvvZVt22revHnqjDPOqEtK8Ne//lW9//3vV3vssYdKJBJqp512Um984xvVL3/5y1qfu+66Sx133HFq4cKFynEctXDhQnXSSSeNS102lqmeV6lU1BVXXKH2228/5bquGhgYUAcddJC65JJLVDabrev77W9/Wx144IG1focffri68847a+3r169XRx99tOrt7Z1SUoKbb765dr2ddtppwqQEY6mGHUzGb3/7W/Wa17xGJZNJtXDhQnXuueeqO+64Y9x8hoeH1b/+67+q/v7+SZMSNEpiUP1pNymBUmHKus997nNq1113VY7jqP3220/913/917h+1bCaZ555pu74Sy+9pE477TQ1a9YslUql1OGHHx75Gb311lvVAQccoFzXVYsWLVIXXHCBqlQqU5rnj370IyWEqAs/qYaOfO5zn1PLly9XruuqxYsXqx/+8Ifq/PPPV6lUSl1yySVKqa3v4djwpqj3/PDDD1f77bdf3bGf//znClBPPfXUlOas2T4QSnVgjUKj0Wg6QBAE7LvvvvzLv/wLl156KQDPPvssixcv5jvf+Q6nnnpqx+dw/PHHI4SoLfNqdgz0nqVGo5kxmKbJypUr+frXv75NSnQ98cQT/OQnP6kJtWbHQYulRqOZUbzrXe/ipZde2iYluvbZZx98359yPLRm+0GLpUaj0Wg0k6D3LDUajUajmQRtWWo0Go1GMwk6znKKSCn5xz/+QW9vr84HqdFoOo5SiqGhIRYuXDhhTuYoSqUSlUql6fMcx6krNqAJ0WI5Rf7xj39w3TevAtGJl6z6RaiuiFfFuHEeUYHClDkE8a2gK2GisBD4CBUghQ0IhPJiHWfCOSBQwgYUhvLGzWm6GP23A3VzagVfwvqXfJpJC2tZFpZl4fs+vu/jOE4ty9J07ZwIIXBdFykllUpl3Jymi9F/O1A3p04ghGBgYKDuodgwDIQQKKWQUtYSNUgpO/p+fO5zn+Pvf//7lHLhjqaZxPRjmT9/Ps8884wWzDFosZwivb29ICxM08CM2bCUCnxZ/+RoGRJDjH+aVCqUrv5MBtuI90tarBgUvHBMS0CvG2Cb0/uF8QLBUNlEqfCRIWVLkk57ycebRSoYLpl4MnyjbUPRkwgwRAs3HyVRSBbuuhhhOJP3H0WhUKil/zMMg76+Pixrer+yvu+TzWZrKQfT6TSpVGpa5yClJJfL1VLs2bZNJpNpydqaCkEQsGnTpnErSL7v16VetCyrY3MAamP19vY2fW47DxLr16+nUqlosRyDFsspUv3imAJMM94viAkICd7Iw7ptgRXxJZQq/HFsE7u1whiRWDaUc+G4jqVIJ2MeYAo4gCcFFT98vXvTNHxo6DSGCYP5cNxMWuK0KFJKBSgpcRMuhtWc2CYSiZo1lUgkyGQyLc2hXTzPq5Xb2mmnnToqEFHYtl2rHTlr1qyGNTHjolKpYBhG7aeKaZq1mpuGYXR0DkDt4aDdbZ9mztf+ntFoB58uwB8RSkH44/nhselEKsjmBUIoHEtR8QX50vTvzeZLoVA6lkIIRTYvkNP8/fV8yBYElqGwDEW2IGoPMtOFlJLNmzcjhCCRSFAqlcZV1ZgOhoaGKJVKJBIJhBBs3ry57TJjzVKpVNi8eTO2bWPbNps3b+7YEmwUUkrK5TJCCAzDqP3e7Qghmv7RNEaL5TZmtFA6Vvgz3YJZFUpfQn9K0Z9WpF1Fvjy9gpkvCfJlQdoN59CfUviSaRVMz4fBgsAyoL9H0d+jsIzw2HQJZlUoPc9j9uzZzJo1i0wmQy6Xm1bBHBoaIpfLkclkmDVrFrNnz8bzvGkVzEqlwqZNm7Btm9mzZzN79uyalTldglkVRqUUjuOQTCZre7czQTA18aCXYVsgrqWKQIHnixGhVFQf6hwLKv7IzdlS4/dIFeFeWAzzkAqyBZMgUPSlAywTlIKUCwqD4ZKBQpF2O3tzzJcN8iVBOhGQciVKgWVCXwqyeZPBPPSlAowOarcXhGOZpiKTCmpuVplU+BoN5qEvHTS1/K1UEL6gU2SsUDpOuM9Z3bfK5XJ1v3eK0UJZHctxHGbPns2mTZvYvHkzs2bN6uiS7GihHD3WrFmz2Lx5M5s2bap7jTrBWKGs7hlXl2Crjk6dXpJtlVasRb0U2xgtlk0gRPXm1/61AgmetBAoHNMPb8wj1xWAY0IlsELBNHzM0Q6zykD6eaRsz0NUKciWUgRKkXELmFLWeWwmDVCWQ77oovwyKaczT/KFikPBc0nZRZJGBTnK6dQEeh2DXDnF4JCkL1GgEytFXhCOYYoKGbsAfr0vcsaGbJBicNgg4xawzSk+PCgFxtS+ZlFCWWW6BLORUFaZLsGMEkoI9wunQzCVUlQqlXFCWWUmCKZeWo0PLZZNoBQIYdLu3TpQoRPLVoty/NsgBDhixMKUNhgjFqYAJBhWGsNsXbWlglzBRAL9PQG2mW7Yr8cGUTbIl9IIKxm7hZkvGxR8g3RSknZdYPwNx7Wh34Zs3iHnObFbmF4AQ0UTy6par41FqN8OLcyhSmbKFqZSAUzhoWYyoazSacGcSCirdFowJxLKKp0WTCllTQQbCWWVmSCYmnjQYtkC7Typjd2jNCa46wtRXZINl2uxCEVCAMJoWbNDoRQEEvrTCtua+K7fkwiHzJdNBAbpRDzLNPmSoFAW9CQU6YQgtCMb41jQnw73DnMFi760ikUwa848JiPXjJ6DKcI5ZPOCbMGiP6Wwp/ANUmLiB4ypCmWVTgnmVISySqcEcypCWaVTgimlJAgClFK4rjtpuE6nBDOOWFZtWcaHdvCZRsYL5eTnGEa900+7fhVjnXmmcrMHSCfidfoZ7cwzVfG1LWJ1+hntzDNV8TVE2Dcup59mhbJKb29vrE4/zQhllapgxuX004xQVqkKZlxOP1JKBgcHI5deo6iKalxOP+VyORYnKu0NGx9aLJvCaPkG3YpQ1kYdLZgBqBa/Q60KZZW4BLMVoawSl2C2IpRV4hLMVoWySlyC2YpQVolLMFsRyipxCWb1/fB9H8uyall6pkpcglkul/F9f5vEs2qi0e9Gk/jSaNq6a0coq4wWzECC36RvT7tCWaVdwWxHKKu0K5jtCGWVdgWzXaGs0q5gtiOUVdoVzHaEskq7gjn6/RgYGGhZqNoVzKpQVlMLtou2LONDi2VThHflShPLoXEIZRXDoCZyueLUb9BxCWWVVgUzDqGs0qpgxiGUVVoVzLiEskqrghmHUFZpVTDjEMoqrQrm2PfDtu2W5wCtC+ZooYxr31OLZXxosWwKhSkUiqkJZpxCWUUIMI3wZyo36LiFskqzghmnUFZpVjDjFMoqzQpm3EJZpVnBjFMoqzQrmHEKZZVmBbNT70ezgtkJodTEi/aGbQIhwBA+hhB40qLiKxwzaOiVWh9HGQa4t7rXWIcCgaDHKpD3HLYMG2QSpYZxf2EcZYJAhn0MJQlaK5zRkIQJ0rIZLjrIoELKaXzxQsWmUHFIORUSphfrHAxG4jBLCbYMSfoSpYbvhxeEfUxD0uuUUD7EWcek1wlf63Hvh5KIkdy2nbox1+YwRS/ZTghllal6yXZCKKtM1Uu20+/HVL1kOymU2lqMDy2WzaBAYGCMZD73AoNKYOFY9YIZSIEnjRGLUsb8YQ2vZZgWfXZArhgG0/clK9ij4i6lglzJJlAGfakKtmkyUWhGq6QTIERAvuIihEnKrZegQtmk4FmkXZ+UC9DeElcjHAP6DJ9s0SFXTpFJenVWoxcIcmUHy5RkkgGGiH8OgjBGc9z7MVJaTErJli2duzFXmUwwOymUVSYTzE4KZZXJBLPTQlllMsHstEWpxTI+tFg2gQIQAiEMLBMQ4dJexTdry6y+DD1Wty69xitQtYqXpotlQn9PuASZKyVqy6xSwVBeECgYSCtsq7PLOj0pEIYgX3YRxtZl1nxJUPCqcZQ2nRDKKq4JAwYMFiyGSlvjMD0fciWBbUJfWkwYR9kuBuPfD8sMCAKPl7bk8APV8fRsEC2Y0yGUVaIEczqEskqUYE6XUFaJEky99Dqz0GLZBpYBWFXBBMuKf49yMqp7Ztm8YLAg6Esp8qX49ygnoyaQ5a1PsXHvUU5GdQ9zsCDI5gXphBqpHhLfHuVkjH0/MklBvmSjTJ/Zc+Z1/MZcZaxgVv8/HUJZZaxgZjKZWvWQTgtllbGCOWvWrFptzOkQyipjBbP6/04LpbYs40OLZZuMFszpFsoq1Rv04LCo1WAcSMtpE8oqYwVzOoWySlUwt+QNBvNhma3pEsoq9e+HCUjmzu6bthtzlbGCOZ1CWaUqmC+++OK0WZRjqQrmpk2bajUx58yZM+3vx1jBnA6LUotlfGhvWI1Go9FoJkGLZZuMDg+xLaYcVhIn1fCQQEF/WmKbalrrL1apCw/ZBvUwYWt4iG0q+tOSQE1vPUwY+34E2KbkpS3ZaS9YPHqPclvUw4StzjxVC9P3/WkvID06M0916XU662FWGZtwYDrqYeo4y/jQYtkGY+MoLWP6BXNsHKVjxZu7dKqMjaOMO5fsVBgbR+nEnEt2Kox/PxSZpIdlWdN6gx7rzBN3LtmpMNaZx3XdaS8gPdaZx3XdWHPJTpWxzjxx55KNQotlfOg9yyYIa04qlArC8JCgGh4SjNS6DCtTYIZtFZ9xYSVtowQoUEEZXylyRRtfGvQlK5hC1apB9SYgV7TZkjfGhZXETaFskq9YpB2fpB3U5pC0QUmT4ZKFkv64sJI48QJBtuhgGQG9CQ9kWI/SFJBJhG2Dw3JcWEmcSMW490MFAQaw00CGLdnCtBQsjvJ6nc4C0lFer9NZQDrK63W66mFWifJ61eW9ZhZaLJtBgEISBAJPmnUJB0YXhDaFAkOOJC4wIhMXtIRSoAQy8BkqOQQSMokClpB1SQ8EkHE9sqUE2YIVmbigXcKEAyYpp0zS9sYlXkjaHkrZ5MsOSgWRiQvaYWvCAZ+MW0Ko8GWqYgnIuD65UoJswYxMXNAOWxNAjHk/RpISTNcNerLwkOkQzMnCQ6ZDMCcLD5mu92Oy8JBOC6a2FuNDi2UTKAVSWQSqWrhZYBiNX0LLAGRYhzJMXBCPh6waiXMf9ntQwECPwrYaF24GGLDDZcGhSk/soST5kqDoC3qSinQiASQa9uu1wTAF+XIKw4zXQ9bzYagisK1qeEjjWE7TBtMaicOsOLF6yEoFubxAMv79UCpAyfABodM36KnGUXZSMKcaR9lJwZxqHGWn34+pxlF2UjC1WMaH3rNsCjFKKCcXv07sYSoVptILphhHGXf9xSrN5nrtxB5ms7le466HCc3n3o27/mKVZhMOdGIPs9mEA3HXw4TmM/N06v1oNuHAdO1halpHi2VThHfjZqzEOAVTjjgUAWSSU7cS4xbMVpOixymYrSZFj1MwW01SH/cNutXMPHEKZquZeeIUzFYz84x9Pzyvva2CVjPzdEIwtYNPfHSdWK5evZqlS5fW3N2XLVvGz3/+8wnPueWWW9h7771JJBLsv//+/OxnP6trV0px4YUXsmDBApLJJMuXL+epp55qaX6WIZteTo1DMKUMz1WEFUesJrO2xSWY7VYPiUMw260eEodgtlvNJS7BbDeFXRyC2W4KuzgEs90UdqPfjy1btrQs2u2msBstmKOz/bSKFsv46DqxXLRoEZdffjkPPvggDzzwAG9605s47rjjeOyxxxr2/93vfsdJJ53EaaedxkMPPcTxxx/P8ccfz6OPPlrr8/nPf56vfe1rXHPNNdx3332k02lWrFhBqVRqcnay5X2udgRztFDaJogW37V2BTOuMlvtCGZcZbbaEcy4yp61K5hx5XptRzDjyvXajmDGleu1+n5UxSoImvPejivXa1UwpzMWVTM5QinVuZiCmNhpp534whe+wGmnnTau7V3vehf5fJ6f/OQntWOvec1rOOCAA7jmmmtQSrFw4UL+7d/+jX//938HIJvNMm/ePK6//npOPPHEhmOWy+W6pZBcLsd137oGxzIwzdafMZqtcVknlFYoeFLBnIzEbjEneCs3+07Uo2z2mp2oR9nsNZt97aoOPm7/3hhWsvE1W7jZdyIperPX7ERS9Gav2Ymk6KVSieeffx4pZU24JqMTSdGLxSIXXngh2WyWTCbT1Lm5XI6+vj4GBgaael/C6jhbWhpze6frLMvRBEHATTfdRD6fZ9myZQ37rF27luXLl9cdW7FiBWvXrgXgmWeeYf369XV9+vr6OPTQQ2t9GrFq1Sr6+vpqP7vsskutTSnV8o8pFLY1uoB0dF8p1SihDM8NgywVKBneiFv4EQRkUj6moRjMQ8WfuP9wSTFcgpQbkHL9lscd+5Nyw9jL4RIMl9SEfSt+wGAeTEORSfkI4pmDZQb0pXz8IHwtAhndN5DhHPxA0ZfyscypjcEkz6PNWpidqh7SjIXZqeohzViYnaoeYhgGpmkihKBSqUy6HNqp6iFTEenJ0Muw8dGVoSOPPPIIy5Yto1Qq0dPTw6233sq+++7bsO/69euZN29e3bF58+axfv36Wnv1WFSfRpx33nmcc845td9zuRzfvu6akZtfS39WDRPAYCQOExzTHxf3pxRUAguFwjb88BxV/TGQfh4p2wvyz9iQDVIMDhtk3ELDOMxCxaHguaTsIkmjgow5TDJpgLIc8kUX5ZdJOeOFwgvCGpGmqJCxC+CHCQfiwmSkgHQ5xeCQpC9RaPh+ZEspAqXIuAVMKae2lK4URIQXjWaqYQydLrM1lbCSTpfZmkpYSafLbBmGgeu6VCqV2sNLI/HSZbZ2HLpSLPfaay8efvhhstksP/zhDznllFO45557IgWzE1RTUo1GKRDCJI6IdtMkFExfUAlsHEvVLhsKpRhlUY56mwQgwbDSGDFk5em3IVswGapk6EsHdUu7+bJBwTdIJyVp1wU6czPosUGUDfKlNMJKkna3qpAXwFDRxLLC4sqG6EzWGdceeS3yDjnPGRkrbJMKcgUTCfT3BNhmdFzrWJQKYIoPNZMJ5nTVo5xIMKerHuVEgjld9SiFELiuS7lcbiiYM0Eom7UWtWUZTVeKpeM47LnnngAcdNBB3H///Vx55ZV84xvfGNd3/vz5bNiwoe7Yhg0bmD9/fq29emzBggV1fQ444ICW5hfXB8oSjKqHKXBG3o3Re5TWmE00pQgFUxixZKExBfSnw324bMGq7cPlS4JCuVq4WTBiD3eMnkT4Z+XLJgKDdELh+YT1KM3qfmJn5+BY4WsxWBDkCmEBaYBcQYRxrWmF3awbMqDE1O3gKMGczsLN0Fgwp7NwMzQWTGBaCzdXLcyxgjkThBK0WMZJV4rlWKSUkXFHy5Yt46677uLss8+uHbvzzjtre5yLFy9m/vz53HXXXTVxzOVy3HfffZxxxhlNzyXM4tP0aZEYIgwD8QMoj9oascytzjxjx1cq7B8n6YRiqCB4KR86u3iBIOUoHFvhdS6lax2OrQgkDJUEJS90hrJEOLdAwrRMQ0CPq8iVBC/lwhtHAGQSCgRNvxZKAVJgeD5CTt3bNZPJsGXLFjZu3IjjOJTLZXp6empLg9OB67qkUikGBwcpFotUKhUsyyKTycQS1jBV+vr62LJlS+2hOAgCBgYGADryWnieN+IzsPUhx7ZtKpVKTTSVUpimiW3bHfNanQG+lzsUXSeW5513HkcddRQve9nLGBoa4sYbb2TNmjXccccdAJx88snsvPPOrFq1CoCPf/zjHH744XzpS1/i6KOP5qabbuKBBx7g2muvBcInpbPPPpvLLruMJUuWsHjxYj7zmc+wcOFCjj/++KbmJlAoROzVRARhaIk/cl3LGFltbTCOIrwBe378VTRcBxjZk3RthWmGFu90Yprh2FKGr4Nrh8I93SSdrQkgkhZIBJUW9EEpA6SJLFcQRnNvWDKZpFQqoZQimUximmYL4U7tYZomyWSSIAiwbZtEIrFNMsz09PTUxq3Op9nQjqni+z5SynFWlm3btYQFhmHMiPAObVnGR9eJ5caNGzn55JNZt24dfX19LF26lDvuuIO3vOUtADz33HN1yz+HHXYYN954IxdccAHnn38+S5Ys4bbbbuMVr3hFrc+5555LPp/ngx/8IIODg7zuda/j9ttvJ5FonMs0ClPmGOjtxXbifdmUgqGCwJPhB9U2FL0p1XCZ1Q9C8XjtPh69jSMRNF2E8ovISo5ZB7wXKzlv8hM025xsNsvPfvYzXNfFtrfmGs7n8wwPDwOhqAwMDNS1x00cD0ZaLONjRsRZdgO5XI6rvng+s3fK4MQolmPj9mDiuD8vCK29txzg0Td1PxPNNkJ6eWR5kLmHfg47vfO2no5mCrz00kvccsstJBKJ2p7o6D3jdDo9LfumhUKBD3zgA23FWc6dO7fpOMuNGzfqOMsGdHWc5fZOowD3TiT71mg0rTPWuapTydc7gY6zjI+uW4btZkwTZFAg8Nr/QG2tf2iQSZQwlCQY2S80GIn7KyXYMiTr6i/KwEAGJuXBpymVdHWCbkfJCobZ3HK/pnuI8kKe7gLSraKXYeNDi2UThHGWFqJNl3mpIFeyCZRBX6qCbZqMDc1wDOgzfLJFh1w5RSbpYQgQSiCkgelkMN3p80jUtIYMwmLUmplHPp+nUChEhuvMFMHsJKtXr2b16tU8++yzAOy3335ceOGFHHXUUQ37v+ENb+Cee+4Zd/ytb30rP/3pTwE49dRTueGGG+raV6xYwe233x7v5JtEi2UTSAnCcDDM1l82qWAoLwgUDKQVtjVBUVgTBoyRgsWlMO5PEAqmlVqArfcsu57qnqVmZuH7Pvl8nv7+/gnjWjspmHFWHWmmfzNUC18sWbIEpRQ33HADxx13HA899BD77bffuP4/+tGP6patN2/ezCtf+UpOOOGEun5HHnkk3/nOd2q/d0MsqxbLaaSVBObVPczBgiCbF7ElMddoNNF4nkdPT8+UEkB0QjArlQrZbLata0DrYllNRlGlUUYzgGOOOabu989+9rOsXr2a3//+9w3Fcqeddqr7/aabbiKVSo0TS9d1awllugXt4NMEqo0MMu2UdRrt9DNUEJPl5dZoNG1i2zbp9NSXbuJ0+qlmSjLNzmasmohddtmlrpBENa59IqZS+GIs1113HSeeeOK413rNmjXMnTuXvfbaizPOOIPNmze39HfEibYsm0BhUawYNPvQGEf9w6pgvpQXGNOUUUej2VFppeJHHBbm6JSCyWT7gdStWpZ///vf60JHJloGbabwxWj+8Ic/8Oijj3LdddfVHT/yyCN5+9vfzuLFi3n66ac5//zzOeqoo1i7du02fYDQYtkEAp+CZ2CVpr4cGlehYAgFM5NQFGPwxtVoNPHTjmCOzb27LZMSZDKZKcdZtlr44rrrrmP//ffn1a9+dd3x0TWG999/f5YuXcoee+zBmjVrePOb3zzlvyVu9DJsEwgVkLIl+bIgX5r8AxinUFaxLFou+qzRaDpPK0uy052kPk6qhS8OOuggVq1axStf+UquvPLKCc/J5/PcdNNNnHbaaZNef/fdd2f27Nn85S9/iWvKLaEtyyYwDEhYJUzDZrhkoWRYvLgRUkGuaONLg75kBVOoqVZqmhAVCIQy8Avr8ZQOHel2dOjIjkkzFmYnhXJbxFlOVPiiyi233EK5XOY973nPpNd7/vnn2bx5c13VqG2BFssmEAKU8knaAUrZ5MsOSgWknPqKyFsTDkAmUcASEhVTvmUlDZQyCSo5AkMnJeh2dFKCHZepCGanLcpOi2WzhS+qXHfddRx//PG1smtVhoeHueSSS3jHO97B/Pnzefrppzn33HPZc889WbFiRVNzixstlk0QBGCYKUzbotcGwxTkyykMU9X2MKWCXF4ggYEehW3FGwwpDTCEwO3fi4SOs+x6dJzljs1EgjmTl16rNFv4AuBPf/oT9957L7/4xS/GXc80Tf7v//6PG264gcHBQRYuXMgRRxzBpZdeus1jLbVYtkFVIPPl8Gks6arY9yg1Gs3MppFgAtMilJ22LMd6so5lzZo1447ttddekbU6k8lkzSrtNvTtvE1GC2a+LBBCaaHUaDR1jBbMF198EQgdYzptUercsPEx8+z+LiTpbn1Ksk20UGo0mnEYhlEXjpHJZGbk0uuOin6n2qQaHiKEwrEUFX9qYSUajWbHolKpsHnzZmzbxrZtNm/e3PHyXrpEV3xoG6gNGsVR5ktb9zB1HleNRgPjnXmAaalWopdh40OLZTMIUEqiVBAKZcEkCBR96QDLDENGUi4oDIZLBgpF2o0pZmQEpUApA+UXkV6819bEj/QLKB0Pu0MT5fW6o5f3mmlosWwC0wAlCwQVyJZSBEqRcQuYUiJH6VbSAGU55Isuyi+TcuJbalGBgQpsyrmnKJfbT4el6SxKehj25JUrNNsnE4WHTFc9TG0txoMWyyYIJCBS5DwHCfT3BNhm42DHHhtE2SBfSiOsZGwWpjBACAM3swQ3pS3Lbkf6BZRf2NbT0GwDphJH2WnB1Muw8aHFshkUDJdtlBD0pxW2NXGS1p4ECCBfNhEYsexhCgGBFAgriWG3fTnNNCCDzjpxaLqPZhIOTJeFqWkP7Q3bBFLY+Eo0FUeZTijSrppy8vXJKJYFvi7RpdF0La1k5omzHuZotDdsfGixbApBrxs0HUcZl2DmS4JCRTCJQavRaNokKsPMZLSTwm6sYPp++45hWizjQ4tlEwjlYZutfYnaFcx8KcwQlHKUFkuNpsNUKpWmBTOOXK+jBTObzTZ9vqZzaLFsAkF7e46tCmZVKNOuqssWpNFoOoNSii1btiDl1Jzo4kyKXhVM02z/qVhblvGhxXKaaVYwRwulTnKg0UwPjuPg+z6bN2+eVDA7UT1kbGq8VtFiGR/aG7YJTBNkUCDw2vtAJUyQls1w0UEGlXH1MKsUKjaFikPKqZAwPQIPZGAgA5Py4NOUSrqeZbej61nOTAzDYGBggGw2y+bNmyNFsJNltnTe2O5Ci2UTKAVCWIgYPsTpBAgRkK+4CGGScutdXAtlk4JnkXZ9Ui5AGCcilEBIA9PJYLo6M0y3I4MSQi8IzEhs22b27Nls2rSpoWDOhHqUOs4yPrRYNoGUIAwHw4znZetJgTAE+bKLMLYus+ZLgoIn6Eko0gmbqlBCGLcplMBKLcDWxZ+7Hl38eWbjOE5DwZwJQglaLOOkO9/hHYixe5h6j1Kj6S6qgul5Hps3b6ZcLs8IodTEi7Ysu4DRBaQBLZQaTZdRFcwXX3xxRgmltizjQ4ulRqPRbKdosYyP7n4s2kGoW3qNMTWeRqOJh+oeZdXCnGpYiWb7QYvlNmbsHmXcuWQ1Gk17jHXmcV23bg+zmwVTx1nGh16GbQLDCOPmZBBPyEahbJKvWKQdn6QdIEeiR5I2KGkyXLJQ0q8LK1GBQAUGfmE9ni4q3PXo0JGZTZTXa5SXbLehl2HjQ4tlEwgBSvko2f4HKkw4YJJyyiRtDzXm4TRpeyhlky87KBXUEhcoaaCUSVDJERg6KUG3o5MSzFw8zyObzUY688wUwdTEgxbLJggCMMwUZrNlR8aQLwmKvqAnqUgnEkDjm2mvDYYpyJdTGGa4RCsNMITA7d+LhI6z7Hp0nOXMREpJLpfDdd0JRbCTghnH8q62LONDPwZNM83GUeo9TI1m+qlUKliWNSXxGxuHGYfIVcW6XfSeZXxosWwCRXsfpFYTDowWzGJZf5g1mk4jhGBgYGDKVmKcgimlZPPmzQSBrvLeTWixbAIlbLygNbFqNzNPVTALFYGvv0MaTUdxHKdpKysOwawKped59PX1NX3+WLRlGR9aLJtCMVQ28Zp0Qo0rhV06oUg5SoulRtNhWhWNdgRztFDOnj0by2rfpUSLZXxosWwCQ3lYQjFYEFMWzLhzvSZdhdV+TViNRtMhWhHMsULpOM40zFTTDNobthkE9LgeBd9hMA996QB7AuHKlw3yJUE6EZByJSqGeDulwDQMlF9Eet0bDK0JkX4BpeNhdzia8ZLtpFBqb9j46DqxXLVqFT/60Y948sknSSaTHHbYYVxxxRXstddeE553yy238JnPfIZnn32WJUuWcMUVV/DWt7611q6U4qKLLuKb3/wmg4ODvPa1r2X16tUsWbJkynMzDUAVyNgFskGKwWGDjFvANseLVqHiUPBcUnaRpFFBNq7v3DQqMFCBTTn3FOVyKZ6LajqGkh6G3butp6HZBkxFMDttUWqxjI+uE8t77rmHM888k0MOOQTf9zn//PM54ogjePzxx0mnGwcW/u53v+Okk05i1apVvO1tb+PGG2/k+OOP549//COveMUrAPj85z/P1772NW644QYWL17MZz7zGVasWMHjjz9OIjG1oPFAgjBSmI5Jvw3ZgslQJTPOwsyXDQq+QTopSbsu4Lb7stQQBghh4GaW4Ka0ZdntSL+A8gvbehqabcREgqmXXmcWXSeWt99+e93v119/PXPnzuXBBx/kn/7pnxqec+WVV3LkkUfyyU9+EoBLL72UO++8k6uuuoprrrkGpRRf/epXueCCCzjuuOMA+M///E/mzZvHbbfdxoknnjjumuVymXJ5a4acXC4HKhQqIUxMAf1pyOYF2YJFf0phWyOFm8vVws0CiHeDUYiRp0UriWFP3l+z7ZFBZVtPQbMNaSSYwLQJpbYW46HrHXyy2SwAO+20U2SftWvXsnz58rpjK1asYO3atQA888wzrF+/vq5PX18fhx56aK3PWFatWkVfX1/tZ5dddhnXxxDQl1ZYBgwWBIN5XbhZo9GMZ7TTz6ZNm9i0adO0CaX2ho2HrhZLKSVnn302r33ta2vLqY1Yv3498+bNqzs2b9481q9fX2uvHovqM5bzzjuPbDZb+/n73//esF9VMJUSVHyBY2mh1Gg043Ech1mzZuF5Hp7nMWvWLL30OoPoumXY0Zx55pk8+uij3HvvvdM+tuu6uO7U9hpHZ9XxAvB8aDN9rEaj2c4Ym8Iul8t1PPm6dvCJj661LM866yx+8pOfcPfdd7No0aIJ+86fP58NGzbUHduwYQPz58+vtVePRfVpldFxlLMzsrYk22ziAo1Gs/0y2plnzpw5zJkzZ1rqYepl2PjoOrFUSnHWWWdx66238qtf/YrFixdPes6yZcu466676o7deeedLFu2DIDFixczf/78uj65XI777ruv1qcVxiYcGLuHqQVTo9E08nrtRPJ1TWfpusXCM888kxtvvJEf//jH9Pb21vYU+/r6SCaTAJx88snsvPPOrFq1CoCPf/zjHH744XzpS1/i6KOP5qabbuKBBx7g2muvBcKnq7PPPpvLLruMJUuW1EJHFi5cyPHHHz/luZkmyKBA4ImRepQOKadCwvQIRsVR9jqQLSXYMmyQSZQaxmG2igwMZGBSHnyaUknXs+x2dD3LHZuJwkOmox6mXoaNj64Ty9WrVwPwhje8oe74d77zHU499VQAnnvuuboP1WGHHcaNN97IBRdcwPnnn8+SJUu47bbb6pyCzj33XPL5PB/84AcZHBzkda97HbfffvuUYywhzJ4jhEXRsyl4FmnXJ+UC1MdwCKAvFZArGuTKKfqSFWwzHqcfoQRCGphOBtPVpmu3I4MSQvt77ZBMJY6y04KpxTI+uk4s1RRywq1Zs2bcsRNOOIETTjgh8hwhBCtXrmTlypUtz01KKPkJyoE1EkdpM1YoqxhAf08Yh5krJWpxmO0iABUIrNQCbF38uevRxZ93TJpJODAdFmanWL16NatXr+bZZ58FYL/99uPCCy/kqKOOatj/+uuv533ve1/dMdd1KZW2ZiOLI9taJ5gZ70iXoIRJwTOmHEfZiT1M3w89bjUaTXfSSmaeTu1hdtrBZ9GiRVx++eU8+OCDPPDAA7zpTW/iuOOO47HHHos8J5PJsG7dutrP3/72t7r2ara1a665hvvuu490Os2KFSvqBHVb0HWWZTejsEjZknRi6s8YVcHM5gWDBdGWhen5kCsJHP2uaTRdSTsp7MZamFUfjXZodRl2dIgLRIfSHXPMMXW/f/azn2X16tX8/ve/Z7/99oscIyoKoZVsa9OFtiybQOCTdJp/4ovDwvT88FxLMGGlE41G0z6+3/yXNI5cr6MtzLGCNZ3ssssudRnMqs6UExEEATfddBP5fH7CKIPh4WF23XVXdtlll3FWaCvZ1qYLbaM0gVCtr3+2Y2HWhNIIC0B7gd6E12g6ied55PP5KQtenEnRq4I5Ni68FVq1LP/+97+TyWRqxydK0PLII4+wbNkySqUSPT093Hrrrey7774N++611158+9vfZunSpWSzWb74xS9y2GGH8dhjj7Fo0aKWsq1NF1osp5FWBHO0UPalFYEOx9JoOo5t2wwPD2NZFr29E5dY60T1EMdx6Ovra/s6rYplJpOpE8uJ2GuvvXj44YfJZrP88Ic/5JRTTuGee+5pKJjLli2rszoPO+ww9tlnH77xjW9w6aWXTnme2wItlk1gGGHcnAza89TpTUCuaLMlb0wYVuIFgmzRwTICehMeyNATVgUGfmE9ni4q3PXo0JGZiWVZ9PT01JZCowSzk2W2LGtm3J4dx2HPPfcE4KCDDuL+++/nyiuv5Bvf+Mak59q2zYEHHshf/vIXoD7b2oIFC2r9NmzYwAEHHBD/5JtgZrwbXYIQoJSPku0tgwog43pkSwmyBath4gIvMMiVEpiGT8YNb7hKgZIGSpkElRyBoZMSdDs6KcHMJZ1OY1lWpGDOhHqU2yLOUkpZV95wIoIg4JFHHuGtb30rUJ9trSqO1WxrZ5xxRttzawctlk0QBGCYKcyYsqQP2GEc5lClp25J1vNhqCKwrXDp1RBbYzmlAYYQuP17kdBxll2PjrOc2VQFcqxgzgShhM6L5XnnncdRRx3Fy172MoaGhrjxxhtZs2YNd9xxBzA+29rKlSt5zWtew5577sng4CBf+MIX+Nvf/sYHPvCB2vhxZFvrBFostyGN9jChfo/S0L48Gs02ZaxgptPpGSGU08HGjRs5+eSTWbduHX19fSxdupQ77riDt7zlLcD4bGtbtmzh9NNPZ/369QwMDHDQQQfxu9/9rm5/M45sa51Ai+U2ZrRgbsmHHyrbVFooNZouYrRg5nI5hBAzQig7bVled911E7aPzbb2la98ha985SuTzqHdbGudQMdZdgGGoC4jULWCiUaj6R7S6a37Hq7rdr1Qgi7RFSdaLLsAz4dsQWAZCstQZHV5L42mq6juUQohSCQSlEolhoaGtvW0NNOIXobdxoyNowRiSY2n0WjioZEzz9DQ0KRhJd2ArjoSH/pW3AwClJKoNjL5jMYLIJs3MU1FJhVQ/ZhmUpAtmAzmoS8d1KW3UwqUMlB+EenpDAXdjvQLKB0PO2OJ8nqN8pLtNrRYxocWyyYwDVCygPQm7zsZXhDWujRFhYxdAB9GS1/GhmyQYnDYIOMWanGYKjBQgU059xTl8rbNwq+ZHCU9DLs7b6SaiVFKTej1OlMEUxMPWiybIJAgjBRGm5nMvQCGiiaWFRaJNkTjL1m/HVqYQ5VMzcIUBghh4GaW4Ka0ZdntSL+A8gvbehqaJlFKsWXLFqSUE3q9drtgassyPrRYNoMKhUqI1sWy5sxjVuMoo69lCuhPh3uY2YJFf0ohxMgXwEpiNK47rekyZFDZ1lPQNEmlUsH3febOnTup12unBLNQaP8hS4tlfGixnEbGOvNMJTxkbOKCHlcnGtVoOo1SioGBgSmHh8QtmENDQ+Tz+bauoYkXLZZNIIWNbFGrWhHKKqMFM1cSpLo/vEujmdE4joNtN7d0E5dgVj1tR8d1toO2FuNBi2VTCIZLJo5DU2LXjlBWqQrmliGBF48zrkajiWB0irZmaFcwq0KZyWQwzfarvOtl2PjQSQmaQCgPXwmyeTFlCzMOoaxiCOgd2bfUaDTdSW9vL5lMhlwu11TigtFC2W2OQhptWTaFQNHrBhQ8i2xeTCp+cQplbQ4C2nTG1Wg0HaZZC7NTQqkty/jQYtkEpgkmeXodk1wpwZYhSV+i1NDS21qPUtLrlFA+xLF6KgMDFZiUB5+mVNL1LLsdXc9yx2WqgtlJi1KLZXxosWwCpUAIC9s26DN8skWHXDlFJunVWY1eIMiVHSxTkkkGdfUo20UogZAGppPBdHVmmG5HBmHhbs2OyWSCqZdeZw5aLJtAShCGg2FauCYMGDBYsBgqWbVlVs+HXElgm9CXFhPGUbaCIBRMK7UAWxd/7np08WdNlGBOh1BqyzI+tFi2gW1Bf0oxWAidftIJNVI9RBdu1mg0WxkrmNX/d9qi1GIZH1os26QqmFvyBoP5sMyWFkqNRjOWsYKpl15nFlosNRqNZjtFW5bxocWyTarhIbapasuwUwkr0Wg0Oxaj9yhhepKva7GMDy2WbdAojnL0HqYWTI1GA9HOPN1arUQzHi2WTWAYYdycDHy8QJAtOlhGQG/CAxnWozQFZBJh2+CwHBdW0i4qEKjAwC+sx9NFhbseHTqiiRLK6SjvpS3L+NBi2QRCgFI+Fc8cSTjgk3HDm6EadUO0BGRcn1wpQbZgRiYuaAUlDZQyCSo5AkMnJeh2dFKCHZvJwkM6LZhaLONDi2UTBAEEpClULGyruvTaOOGAaYNpjcRhVpzYlmSlAQKB278XCR1n2fXoOMsdl6nGUXZ7AWlNiBbLJlAIhsomrjW1OMqxcZhxCKZS6KojGk2X02zCgU4JprYs40OLZRMoYWMJRV966iW64hRMqWCoIBC6VoxG07W0mplnrGDqEl3dhb7tNoWiJxE0LXZVwfQlTZX3Go1U4bm+0lVHNJpOI6Vs6bx2U9iNLu9VKBRamoOmM2ixbAJDte7Z2o5g1oRSQiahaLEurUajmSKVSgXP85o6J65cr1XBzOfzLV+jStWybOZH0xh9251GWhHM0ULZn1JYeuFco+k4Qgi2bNlCpVKZUv+4k6L39vaSTrfvwafFMj70rbcZBCglUap1DxvLhL4UZPMmg3noS0Uv60oF2YJJECj60gGWGTr3KGWg/CLSa22pSDN9SL+A0vGwMw7HcQiCgE2bNjF79mwcx4ns26nqIalUKrZradpHi2UTmAYoWUA2tzoz/jpAr2OQK6cYHJL0JQrj4jCVgmwpRaAUGbeAKSVSggoMVGBTzj1FuVxqbyKajqOkh2HrUICZhhCCgYEBcrnchILZ7fUotYNPfGixbIJAgjBSGDF42Lg29NuQzTvkPKfOwpQKcgUTCfT3BNjm1uUYYYAQBm5mCW5KW5bdjvQLKF87asxEhBDMmjWLzZs3NxTMbhdK0GIZJ1osm0GFQiViKujsWNCfDvPL5gphAWmAXEEQSOhPK2yrfiwhRr4AVhKjcT4ETZchg6nte2m6D8MwGgrmTBBKTbxosdzGjI7DHBwOn+oCFR6z9buj0Wxzxgqm67qUSqUZIZTasoyPrvOG/fWvf80xxxzDwoULEUJw2223TXrOmjVreNWrXoXruuy5555cf/314/p8/etfZ7fddiORSHDooYfyhz/8If7Jt4htQV9K4UuBLwV9Wig1mq6iKphKKUqlEolEouuFErQ3bJx0nVjm83le+cpX8vWvf31K/Z955hmOPvpo3vjGN/Lwww9z9tln84EPfIA77rij1ufmm2/mnHPO4aKLLuKPf/wjr3zlK1mxYgUbN27s1J/RFFJBvrT1Q5ovtZa4QKPRdI7RcY/lcnnKYSWa7YOus1+OOuoojjrqqCn3v+aaa1i8eDFf+tKXANhnn3249957+cpXvsKKFSsA+PKXv8zpp5/O+973vto5P/3pT/n2t7/Npz71qYbXLZfLlMtbq3pUU1DFzeg4yoF06LCj62FqNN3F6D3KdDod6fTTbehl2PjoOsuyWdauXcvy5cvrjq1YsYK1a9cCYSaOBx98sK6PYRgsX7681qcRq1atoq+vr/azyy67xD73sQkHbCue1HgajSY+xjrzVJdkbdtm06ZNXW9h6iXYeOg6y7JZ1q9fz7x58+qOzZs3j1wuR7FYZMuWLQRB0LDPk08+GXnd8847j3POOaf2ey6X43vXXY4MCgRe+x+qMI4yQSANMokShpIEI/GbBiNxmKUEW4ZkXT1MGRjIwKQ8+DSlkq5n2e3oepYzmyiv1ygvWc32y4wXy07hui6u69YdUwqEsBBtJmeVCnIlm0AZ9KUq2KZJmKpgK44BfYZPtuiQK6fIJMO8tEIJhDQwnQymqzPDdDsyCIuDa2Ye+XyeQqEQ6fU6EwRTL8PGx4wXy/nz57Nhw4a6Yxs2bCCTyZBMJjFNE9M0G/aZP39+U2NJCcJwMMzWXzapYCgvCBQMpBW25Ub2dU0YMEYKSJfCOExBKJhWagG2Lv7c9ejizzMT3/fJ5/P09/dP6PXaScH0/fYfhrVYxseM37NctmwZd911V92xO++8k2XLlgFhjseDDjqoro+UkrvuuqvWZ7potEc5GWP3MJW2UjSajuN5Hj09PVMKD+nEHmalUiGbzbZ9nU6zevVqli5dSiaTIZPJsGzZMn7+859H9v/mN7/J61//egYGBhgYGGD58uXjwvhOPfXUcXupRx55ZKf/lEnpOrEcHh7m4Ycf5uGHHwbC0JCHH36Y5557Dgj3Ek8++eRa/w9/+MP89a9/5dxzz+XJJ5/k6quv5gc/+AGf+MQnan3OOeccvvnNb3LDDTfwxBNPcMYZZ5DP52vesVNFtZG5pxWhrDJaMIcKWjA1mk5j23ZTVT/iFMxKpcKmTZtiLf7cKSefRYsWcfnll/Pggw/ywAMP8KY3vYnjjjuOxx57rGH/NWvWcNJJJ3H33Xezdu1adtllF4444gheeOGFun5HHnkk69atq/18//vfb/k1iIuuW4Z94IEHeOMb31j7vepkc8opp3D99dezbt26mnACLF68mJ/+9Kd84hOf4Morr2TRokV861vfqoWNALzrXe/ixRdf5MILL2T9+vUccMAB3H777eOcfiZDYVGsGDS7ytKOUFapCuZLeYHRetETjUYzBawWauHFsSRbFUrbtkkmk03PYSytLsOODZVr5MMBcMwxx9T9/tnPfpbVq1fz+9//nv32229c/+9973t1v3/rW9/iv//7v7nrrrvqjCDXdZveJus0XSeWb3jDG1ATmE6NsvO84Q1v4KGHHprwumeddRZnnXVWW3MT+BQ8A6skSCemZt7FIZRVbCss/lyMwRtXo9HETzuCOVooZ82aRam07aoKjQ2Vu+iii7j44osnPCcIAm655Rby+fyUt7gKhQKe57HTTjvVHV+zZg1z585lYGCAN73pTVx22WXMmjWrqb8hbrpOLLsZoQJStiRfDl+2yQQzTqGsYllg62IjGk3X0opgjhVKo02P+yqtWpZ///vfyWQyteONrMoqjzzyCMuWLaNUKtHT08Ott97KvvvuO6Xx/uM//oOFCxfWxcEfeeSRvP3tb2fx4sU8/fTTnH/++Rx11FGsXbs2lqXpVtFi2QSGAQmrhGnYDJcslPRJuY3XRKWCXNHGlwZ9yQqmUMgYlk9VIBDKwC+sx9NFhbseHTqyY9KMYHZKKKF1saw67EyFvfbai4cffphsNssPf/hDTjnlFO65555JBfPyyy/npptuYs2aNSQSW2ORTzzxxNr/999/f5YuXcoee+zBmjVrePOb3zzlvyVutFg2gRCglE/SDlDKJl92UCog5dRXg96acAAyiQKWkKiYrEElDZQyCSo5AkMnJeh2dFKCHZepCGYnhXK6cByHPffcE4CDDjqI+++/nyuvvJJvfOMbked88Ytf5PLLL+eXv/wlS5cunfD6u+++O7Nnz+Yvf/mLFsuZQhCAYaYwbYteGwxTkC+nMExVW5KVCnJ5gQQGehS2FW8wpDTAEAK3fy8SOs6y69Fxljs2EwnmdAjltoizlFLW5dUey+c//3k++9nPcscdd3DwwQdPer3nn3+ezZs3s2DBgrbn1g5aLNugKpD5cvgBS7oq9j1KjUYzs2kkmMC0WJSdFsvzzjuPo446ipe97GUMDQ1x4403smbNmlrVp5NPPpmdd96ZVatWAXDFFVdw4YUXcuONN7Lbbruxfv16AHp6eujp6WF4eJhLLrmEd7zjHcyfP5+nn36ac889lz333LMuwmFboG/nbTJaMPNlgRBKC6VGo6ljtGC++OKLQLh8OVOXXqts3LiRk08+mXXr1tHX18fSpUu54447eMtb3gLAc889V/f3rV69mkqlwjvf+c6661S9bU3T5P/+7/+44YYbGBwcZOHChRxxxBFceumlEzoZTQf6lh4DSVfVrEvbRAulRqMZh2EYZDIZNm3aBIRONJ0Wyk5bltddd92E7WvWrKn7/dlnn52wfzKZrKtF3E3o23qbVMNDhFDYJlR8Qb40eViJZtty7TeunZZxUq6gv9fgM//yPdZtnp5sEhPFKWu2HZVKhc2bN2PbNgCbN2/uePJ1nRs2Pmau/d8FjI2j7E8r0iNWZr6kP3QajSZktDPP7NmzmT179oyph6kJ0ZZlMwhQSqJUEAplwSQIFH3pAMsMQ0ZSLigMhksGCkXajTeDgFKglIHyi0hPZydolZQ7PQ8zSVdgGvrBaUcmyut1Osp7acsyPrRYNoFpgJIFggpkSykCpci4BUwpkaN0K2mAshzyRRfll0k58T05qsBABTbl3FOUy9suHdZMZ9/F01N30DIhX9TLojsqE4WHTEc9TC2W8aHFsgkCCYgUOc9BAv09AbbZONixxwZRNsiX0ggrGZuFKQwQwsDNLMFNacuyVR5/5n+nZZykK0gl9G7HjshU4ihnQgFpTYgWy2ZQMFy2UULQn1bY1sR5CnsSIIB82URgxOL0IwQEUiCsJIbd9uV2WArl6bP2XEdbljsazSQc6KRgassyPvQjbxNIYeMr0VQcZToRr9NPsSzwdYkujaZraSUzTycKSEPn61nuSGixbApBrxs0HUcZl2DmS4JCRTCJQavRaNqk1fCbdlLYjRVM39eFEroJLZZNIJSHbbb2JWpXMPOlMENQylFaLDWaDlOpVJoWzDhyvY4WzGw22/T5Y9GWZXxosWwCQXt7T60KZlUo064i6er9L42m0yil2LJlC1JOzYkuzqToVcGMo3ajFsv40GI5zTQrmKOFUmcF0mimB8dx8H2fzZs3TyqYnageUk2Np+ketDdsE5gmyKBA4LX39JUwQVo2w0UHGVTG1cOsUqjYFCoOKadCwvQIPJCBgQxMyoNPUyrpepatsv/u0+Oeb5tQ8vRDzkzDMAwGBgbIZrNs3rw5UgQ7WWYrjmtpb9j40GLZBEqBEBYihg9xOgFCBOQrLkKYpNx6F9dC2aTgWaRdn5QLEMaJCCUQ0sB0MpiudgBolb5ZL5uWcUwR0CsUH/rQO8h7qWkZUxMP1dR0mzZtaiiY20PhZs3U0WLZBFKCMBwMM56XrScFwhDkyy7C2LrMmi8JCp6gJ6FIJ2yqQglh3KZQAiu1AFsXf26Zoco/pmUcy/BJWHoFYKbiOE5DwZxJQqmtxXjQYrmNGVtAuvp/vUep0XQHYwUzk8nUqofMBKHUy7Dx0L3v8g5EndOPFkqNpuuoCmbVorQsq+uFUhMv2rLUaDSa7RRtWcaHfizqAurCQ3Q9TI2m66halFULc6phJdsaHWcZH1ostzFj4yjjziWr0WjaY6wzj+u6zJ49G8/zZoRgauKh6WXYZ555ht/85jf87W9/o1AoMGfOHA488ECWLVtGIpHoxBy7BsMAJSvIIJ6QjULZJF+xSDs+STtAjkSPJG1Q0mS4ZKGkXxdWogKBCgz8wno8pUNHWqXXyU/LOKYIQOj955lKlNdrlJdst6GXYeNjymL5ve99jyuvvJIHHniAefPmsXDhQpLJJC+99BJPP/00iUSCd7/73fzHf/wHu+66ayfnvM0QApTyUbL9D1SYcMAk5ZRJ2h5qzMNp0vZQyiZfdlAqqCUuUNJAKZOgkiMwdEhCq0xXOIchJL7UyXxnIp7nkc1mI71eZ4JgarGMjymJ5YEHHojjOJx66qn893//N7vssktde7lcZu3atdx0000cfPDBXH311ZxwwgkdmfC2JAjAMFOYzZYdGUO+JCj6gp6kIp1IAI0t8l4bDFOQL6cwzHCJVhpgCIHbvxcJHWfZMi8+VZyWcXSc5cxESkkul8N13QlFsJOCqZd3u4sp3fUvv/xyVqxYEdnuui5veMMbeMMb3sBnP/tZnn322bjmt93RbK7XsXGYjq2X9DSaTlOpVKYcHtIJwayKdbtoyzI+piSWEwnlWGbNmsWsWbNanlA3o2jvg9RqUvTRghnIMEetRqPpHEIIBgYGpix6cQqmlJLNmzcTBO1XeddiGR8trydu3LiRjRs3jlsqWLp0aduT6laUsPECQSspuNutHlI9Z6gkSDrautRoOonjOE0LRxyCWRVKz/Po6+tr6lxNZ2laLB988EFOOeUUnnjiiVpxVCEESimEELE8DXUviqGyiWNDM9uWcZXZSicUgQRve36JNZouoFULqx3BHC2U1VjOdtGWZXw0LZbvf//7efnLX851113HvHnzdqgX11AellAMFgz6U2pKghl3Pcqkq1DlHec112hmGq0I5lihrNbTbBctlvHRtFj+9a9/5b//+7/Zc889OzGf7kZAj+tR8B0G89CXDrAn2D/Mlw3yJUE6EZByJSqG1VOlwDQMlF9EetpbrlUsY3piVC3Dx0Avm+9oNCOYjYRS0300LZZvfvOb+d///d8dUixNA1AFMnaBbJBicNgg4xawzfGiVag4FDyXlF0kaVSQjes7N40KDFRgU849RblciueiOyCzk1umZRwhJJ60J++o2e6YimB2Wii1ZRkfTYvlt771LU455RQeffRRXvGKV2Db9TeCY489NrbJdRuBBGGkMB2TfhuyBZOhSmachZkvGxR8g3RSknZdwI1tDsIAIQzczBLclLYsW2XTszE9vUyCZfg402TFarqPiQRzOixKLZbx0bRYrl27lt/+9rf8/Oc/H9e23Tv4qFCohDAxBfSnIZsXZAtWbQ8zXxIUytXCzQKIN85DiJEvgJXE0AZLy/hy+gruWMZ2/J3QTEojwQT00usMo+lAoI9+9KO85z3vYd26dUgp6362a6FsgCGgL62wDBgsCAbzuh6lRqMZT1UwPc9j06ZNbNq0aVqEUlcdiY+mxXLz5s184hOfYN68eZ2Yz4yjKphKCSq+wLG0UGo0mvE4jsOsWbPwPA/P85g1a1bHLUotlvHRtFi+/e1v5+677+7EXGYsxVGhHF4Ant6i0mg0Yxibwi6Xy+n8rzOIpjduXv7yl3Peeedx7733sv/++49z8PnYxz4W2+RmAqPjKJOuIpsXDBbElOMwNRrN9s9oZ545c+YATEu1Eu3gEx8tecP29PRwzz33cM8999S1CSF2KLFslHCgL60FU6PRbCXK63U6yntpsYyPloo/d5qvf/3rfOELX2D9+vW88pWv5P/9v//Hq1/96sj+t9xyC5/5zGd49tlnWbJkCVdccQVvfetba+1KKS666CK++c1vMjg4yGtf+1pWr17NkiVLmpqXaYIMCgSeGKlH6ZByKiRMj2BUJEKvA9lSgi3DBplEqWEcZqvIwEAGJuXBpymVdOmnVpmTemlaxtH1LHdsJgoPmQn1MGcyUkquv/563v/+98dyvdjsnnXr1vHd736Xc889t63r3HzzzZxzzjlcc801HHrooXz1q19lxYoV/OlPf2Lu3Lnj+v/ud7/jpJNOYtWqVbztbW/jxhtv5Pjjj+ePf/wjr3jFKwD4/Oc/z9e+9jVuuOEGFi9ezGc+8xlWrFjB448/TiLRuJZkI5QCISyKnk3Bs0i7PikXoH4pWgB9qYBc0SBXTtGXrGCb8Tj9CCUQ0sB0Mpiu3hxtlZK/aVrGMUUAQjt87YhMJY6y04K5I1uWhmHwjW98Y9uJZdTAf/vb3/jDH/7Qtlh++ctf5vTTT+d973sfANdccw0//elP+fa3v82nPvWpcf2vvPJKjjzySD75yU8CcOmll3LnnXdy1VVXcc0116CU4qtf/SoXXHABxx13HAD/+Z//ybx587jttts48cQTpzw3KaHkJygH1kgcpc1YoaxiAP09YRxmrpSIbUlWACoQWKkF2Lr4c8sMVf4xLePo4s87Js0kHOikYO7IYglw8MEHc9VVV3HWWWe1fa2mb99bttSnCQuCgL/+9a888cQTXH311W1NplKp8OCDD3LeeefVjhmGwfLly1m7dm3Dc9auXcs555xTd2zFihXcdtttQLhsvH79epYvX15r7+vr49BDD2Xt2rWRYlkulymXt97kcrkcSjgUPIvepCCZMJh0cVVAb1qRy8OWAvSlwLba+zBWfEXFhwopymr7+mBPJ8reaXrGMXykVcFO9OJYyWkZs1DWKw7tUKwESKWQUhEEzW+hSCnZsuUlPM9np512wjStSa9jmhYDAzvx0ksvsWnTJgYGdkLGkUy6w6xevZrVq1fz7LPPArDffvtx4YUXctRRR0WeM13bZgDPP/88P//5z/niF7/IYYcdxv7778/+++/P2972tqav1bRY3nrrrQ2Pf/azn+W2227jQx/6UNOTqLJp0yaCIBgXwzlv3jyefPLJhuesX7++Yf/169fX2qvHovo0YtWqVVxyySV1xy67bCWm46LcFMNKAAIRKZkChUCgsFISr1DgpbwkmU5hjlRvVhiEJaUbfynCYtNbxwiCgEIxj2mZ/D04gISfxsfBooIQjefhKxdBgCka30ADZaEwsURj60cpY/scY9cGdVetNEgfZIQlaLhgWODnG7cLA8w0BHlQI+8ZipIh2WVWhkCaWI6LDAJk0PjvMEwLwzTxKxFzEALLTuB7JaIy89//5AYMIbDMxtaJH0ikUjhW471UqRSeL7EtAyPC0qj4wXY7RmE4S7Hs48kKRkWBUggj4sFUheMYQoAApSSFoSxBEJDu7aPoQ6FSBiGIMtqUojaGk+olP5SlvPFFHDfV+IQm6aS1uGjRIi6//HKWLFmCUoobbriB4447joceeoj99ttvXP/p3DYD+PGPfwzA8PAwjz32GI888gi//OUvp0csozjppJO47LLL4rrcNue8886rs1hzuRzf/e5/4jg2BhKJiURgRoilQiCxMfAwhCKdSlAoFCnm86TTSUzTxMfEQBFlo44eIwgCivkihhF+sU3KGNgEpHEYxqTxzbdMGpsAi8ZJ1yU9+FgkyDZsD7C2zzH84fGd7H5QlcZtALYNwo5uNxxwZkFlM8hKeExIhAzwKza+tHASaYLAx6s0/jucZBrDsPAqjf8Ow7RIpHopF4ciBdcPFI4lsK1okfEDRToR3V7wJQnHjBSqQtnfbsewTAMZBAgnFBkJ2BGCo1AoGT4ngaIwlEMGAT2Zfiwr3KLxRh6LowQ7UKo2hmE79GT6yecGKRUjPmdN0Oll2GOOOabu989+9rOsXr2a3//+9w3FstPbZsuXL+ff/u3fxlm2qVSKQw89lEMPPbSpv280sYnl//7v/3LggQe2dY3Zs2djmiYbNmyoO75hwwbmz5/f8Jz58+dP2L/674YNG1iwYEFdnwMOOCByLq7r4rr1CdANo2rlCcBg61dpPGIk30NoNUqEgFTKpVAokc8XSaddhGnDSHtjwjGCwCOfL2OaAtd1CAKJKXxM4SOUqv2/4RWUxBDRFplBgKFkZDuwfY7RyHpUASgv2rJUXtgnqr16DVmp9RFCIkSADDykVCglUTL8veHpMkApGdkOjLT7kX0MQ2Aa0RaZaYjaQ1cU1faoPtvzGJZpIGVApVQikeoJ13cmEhGhAEV+KEsgfXoyA1ij4s9F9SfiGqK6hjTSbtsOPZkBcoPT44TWiNHJE6Dx/XAsQRBwyy23kM/nWbZsWcM+ndo2q/LAAw+w2267AaEfza677gqEIY+/+c1v+O53vzvh+RPRtFiO/UMhFJ4f//jHHH300XXtX/7yl5u6tuM4HHTQQdx1110cf/zxQLj+f9ddd0Vu0C5btoy77rqLs88+u3bszjvvrL1ZixcvZv78+dx11101cczlctx3332cccYZTc2vXYQQpFKJEcEsk0g7WObET3JB4FMaEcpUKqEzfmg004BpWpRLeYQQ2ImJl0OVkuRzQ6FQ9tYLZatYtk0y3dv2dVq1LHfZZZe64xdddBEXX3xxw3MeeeQRli1bRqlUoqenh1tvvZV99923Yd9ObZtVqVQq9PaGr9v+++/Pww8/zO67785hhx0WOf+p0rRYPvTQQw2PH3LIIWzcuJGNGzcCra+Tn3POOZxyyikcfPDBvPrVr+arX/0q+Xy+5h178skns/POO7Nq1SoAPv7xj3P44YfzpS99iaOPPpqbbrqJBx54gGuvvbY2j7PPPpvLLruMJUuW1NbAFy5cWBPkKSMMpBr5GdlvlBEZA8OFF0lQs0C3kkimKI4sySZSKeyIp14vkJQKBUzDIJFMhku7CqSSlHwLFbiARwkXI8IXQApJGQepGr/VnnAASTFo3C7F9jmGmegf10eZJpj9iIgqIcoOzxENzgVQRgKEhMQAQobLrAKFAhyZwVQmhmniJnsa/5FQa3NTjW+UphneiBOpXoIIy1JKRbESXdSg2lYoNT7fl+GbUCj7WBF7ddvzGMWyjxAGjpOkVMwjASPZ2PVcKklxOIeSAemePoRhjnPmUYRLrUQ4+QQje89jzxMxlBVqVSz//ve/k8lkascnsir32msvHn74YbLZLD/84Q855ZRTuOeeeyIFs5MsWbKEP/zhD/T29pLP58lmw+2M3t5eXnqpvdjqpsWy03lh3/Wud/Hiiy9y4YUXsn79eg444ABuv/322pPGc889V+dWfdhhh3HjjTdywQUXcP7557NkyRJuu+222mYxwLnnnks+n+eDH/wgg4ODvO51r+P2229verMYIVDCqDnmQFUUxxMurKiRf8f0EZBIpSkWipQKeURqq9NPlSAIKBUKGIZJIpUMxx65osIgwMFXNhDgY0cm+VUqvBH4ETU1J2uX2+sYDZxCRDUe0mosVJO2GyPL6lYKagWfw8+A5aQw1Na/znYm9oyNajdGPieW42JEPBhUKfsTr0JEtcsRkfF8SRDl2LIdj1EJJBKw3CSYJpVi6NDljrEwlZIUhnPIwCfZ04cwrQk9WCfzbh3brrahN2wmk6kTy4lwHIc999wTgIMOOoj777+fK6+8km984xvj+nZq26zKRz/6UU4//XR22203li5dynXXXcdVV13Fb37zm7aLf3RlMrazzjorctl1zZo1446dcMIJnHDCCZHXE0KwcuVKVq5c2d7EZICJjykUktD70iRq/2qr92XDPUkByXQPpcIQpUKedNqtCWYolGVM0ySR6sESlVHnBSghSVsFXMsgr2aTFpsi9+qG5RxsUcIVjT04y6oXTyXoMQYbtgfK2i7H2PjSxvGdUruBPxQ66DTCmRUKZeHvjdsNF1Ivg8JztT1LQ0hMEVDIz8GXFj39c/EqRcqFoYaXcFO92E6S4cEG8wMM06anfzbDg5ui9yx33hnXMkglGlsmhZJH2ZcM9DR+sPADSTZfoS/tRO71bRkub7djOMrBMgSWZWCPBDN75QKWYZBIhb8rJRnODYEMSPb0kXDdSAvOG/G4NSPmEIx49dpjHuBUhANXM2yLOEspZV3Y3Wg6vW32gQ98gJ122ok///nPnH766Zx44onsvvvurFu3ru1YyymJ5ZFHHsnFF1/Ma17zmgn7DQ0NcfXVV9PT08OZZ57Z1sR2BIQQJFMpSoVh8vky6XT4pa868yRSKSL9zTUazbTgJlJYhkFxxDvVTSYZzg0SBD7pTD9KdG86w06L5XnnncdRRx3Fy172MoaGhrjxxhtZs2YNd9xxB7Btts3e/va31/7/85//nFtvvZVKpdJUAppGTEksTzjhBN7xjnfQ19fHMcccw8EHH8zChQtJJBJs2bKFxx9/nHvvvZef/exnHH300XzhC19oa1I7EqOdfoaHw30uyzJIpRIoERWBqdFoppOqRVksDlMsDiOEoKd3ANOy8FpIXLC9sHHjRk4++WTWrVtHX18fS5cu5Y477uAtb3kLsI23zQDLsiZcdWzqWlPpdNppp/Ge97yHW265hZtvvplrr722tnEqhGDfffdlxYoV3H///eyzzz6xTGxHQogwJMT3Q7F0XQehhVKj6SrcZLJmXVqWg2Xb23RfcSp02rK87rrrJmzfpttmMTPlPUvXdXnPe97De97zHgCy2SzFYpFZs2aNq2mpaY4gCCgUyrU9jUKhPBKH2ZVbyhrNDke4RzmIEALLcvC8MqVCHjcZT5adTrGj54aNk5bvxn19ffT19cU5lx2SMDPP1jhKoBaHmUxbNe9HjUazbag68wTB1jjKUiFPsTiMQmFO4tms2T7QpktTVMM3RC2jqxoXRTkaNbKU2riPH/iU8gVM0yCZStSceZKpJIVCiUK+QCJtYIxKXFAd15cCS43EcioDFZFUXSLwlYEZ0e5jhH1k1Pnb5xjCHL8aogwLYbrQoA0A0x3pE9FuOGGgiOmE8ZYwkt1FYpg2hggffkzTxoi4RthmRrePpFCr/tvwb5UKXyr8iL00X4ZJwiPbR45HtW/vY/iBRKkwdEMRhocgA9KZfkzLQimFm0yhUJQKw9hSYaWiSwCp6k/Eku1k7e2gLcv40GLZDIZJgI1QVWtPEkz4EkoCGluGYXjIMIZh4iZTSASjNyndpEWpUKCUH4ZUemtYiQoTExRlDypIAmWKJIGop9syPuAzUcxUmfwk7dvbGGa60c1NgpEAe5cGbaP6pCdpT84Ze4Sklao9WFmOS48zceqwnv7ZE7YneyZe1fF8SdavTNgnm5+4PV+aOHRhex2jWPQIpEL5AZXSUC2OUgmzzpnHdJLYUtXiMJ0JMv1IpZDBxGI41lGomlShHbRYxocWy2aQASbeqDhLA5OoL6ogwMbEgzGuOkEQUC6UMEybZCoZFggefzrJdJjpp1wYJpVOhIIpApQISBrDJExBiX4SDGLQOOauwBxMyrjkGraXyRDgkuLFxn8y9nY5xpbs+GweKrkrIihApfE1cOagzBSi+LfG7UYC5c5DlDdANYOPUJhIioVZI3GWs/ErZUoRcZaJVC+W4zIckRfUtGySPX0Uh7MEfuPXau7cediWQcpt/PUulH08X9KXblxj0Q8k+ZJPOmFFxidm85XtdgxL2pgGVIp5lJK1OMpGVC1Kr5THNASJBpl+vECGcZYRiRECqcI4y7FzDLRwdRNaLJuiWjRra1mtaJ/Vanmt8LwqQRBQqCZFT6UxhIy8hiEgmUpTLmQp5Euh08/IlS1DYQoJysAUElNEXEMqLCGxItoDJVFKYUXkmQvU9jmGahTQL31UUIaoJOZBGYTT+FwAZQACFVRAhn2EkDAqkboMAoLAi0woEAQeRmBNmEgdIPCjr2EYIgyqjxAIyxAEkyQgByZNQL69jmGZRvj6Sp907wDCtCa0uJxECtMQlIp5BKIWZlKl2UTqVSql4oR/11TQlmV8NF2O+5RTTuHXv/51J+bS9bS7KBIEQS3hQCqVmNIHsxqHaZqCfL7cUjFajUbTHEopUum+CfeGR5NIpkkmeygWhykVIuqdNkGpkKdcKbR9napYNvOjaUzTYpnNZlm+fDlLlizhc5/7HC+88EIn5tWVSCmj6u1OSitCWWW0YBaLla6P7dJoZjqWZWPazS28JVLxCGbV09Z1ujssZUejabG87bbbeOGFFzjjjDO4+eab2W233TjqqKP44Q9/iOdNvHQ041FQLJabFqt2hLJKVTANQ+D70ZUYNBpN+wij6Vsj0L5gVoUymezBSbQfkqIty/ho6RMxZ84czjnnHP73f/+X++67jz333JP3vve9LFy4kE984hM89dRTcc+zKzAMA6UUhUJpyoIZh1BWEUKQTEYnbNZoNNueVgVztFCO3fdsFS2W8dHa49MI69at48477+TOO+/ENE3e+ta38sgjj7Dvvvvyla98Ja45dg1CQCLhEASKYqEwqWAGgU8+X4xFKEfPwbLaets0Gk2HGS2Y5dLke4/lUiF2odTES9PesJ7n8T//8z985zvf4Re/+AVLly7l7LPP5l//9V9r9c9uvfVW3v/+9/OJT3wi9glvUwwTTIdEyqFYKFDMD5NMJRuKoB9ISoUhDMPCTSbHxVFCWDo69Ktt/DaEPnL1sZyBEgQK8n4Kz+8BSgzTExlyIfEIMKkQUbwWE/AYCqLa7e1yDLOnQaykYYDVB1F7RdVivI3OrbUH0LPzVm9YFBJBykojlVEr/jxZvcqe/rmTtM9GBo2X46sFjSer87hluHEZpWp7Nl/BmKRo8vY4RrFQCWMcfYkx8mDqRWx9VL/SXiDHpR4xnQS2lJH1MKuUSwUqxTxOMo3pJGpjBTrOsqtoWiwXLFiAlJKTTjqJP/zhDw0Lcr7xjW+kv78/hul1GUohlMSyTBKpdJg0oJAfJ5hhwoEShmGSTCUxRDVHx5jLjbz8gqgv4vh2gUQgMalgCY+ABCYlDNX4huGJMIWepYZbapeC7XKMij/+aV/ZswAQfuMYyEnbjQSYaQjyiJE4y+ojj18RBCoUSgCv0jgsYLJ207SxHBe/UiaYJLzEjViBKFaCCdt9qfB8iW0ZWBEiM9k1ZvIYgWlgEIZuVTEiREQRJhwwhBgnlgDJkbjLSjGPAbhj4jDLxXxNKJNj2uJZidJiGRdNi+VXvvIVTjjhhAnLpfT39/PMM8+0NbGuREkMEQYY25aFSKcp5YcoFQu1ZdYgCCgWylimgZPqxRIeDYs/E95GBQFGRDtIFGZduxISQ0DC8nHNMnnVS0JkI4smB9IYKZrcuN1QFTyVIGlEnK/YLscYKg02uEj/SPHnBm0A0gyLPzc6F0aKP/dCacu44s+VosCXFraTnLD4M4DtJCPbDdOmx3EpFYYmjLOcqGgyQNmXke1+EGa0SbnRwfxlX263YyjPwjAEhmkghEAqFVm4WY1k5jGNaFFyEykMoFwuYIwqIF0q5CmXCySSaexEatwYMdR+1sRI02L53ve+txPzmJGYpkU67ZLPlykUSriuM1I9RJBKJQn0U5pGoyG0KI1RBaSB2h6l7SaRHQoH05ZlfOgMPm1imibptMvwcAnfL2GaRmzOPBqNZvthdAFpoObM08lEI1os40O7VWo0Go1GMwnasmyTahylZRm1ZdhCoUQqlYqqzKXpAjZv3jzuWFLMIygNUxke3wbg9LiYCYtig3MBDCtJ0phHccsWpB866FgmOLbgiSc3UShL9tx7KbnsS2xc93zDa8xdsIhM30785cn/a9ieSKbY/eX78dc/P06p2Dgk4eX7HdjwuGbbMjqOErZamLbb2XqY2lqMBy2WbRAEPqUxCQe27mEWcVKOFkyNRkO5GDrzjI2jLBaHkVJiT1Deqx30Mmx8aLFsBmEgVfjjBZJSoYBpGCSSyTBeUoVpspIpg0KhhMwPIVJJDBHhSYdChU7qDdvDgsVq5N+RY0ohlaTkW6jABTxKuEQU20AKSRkHqRq/1Z5wAEkxaNwuxfY5Ru9OO4/rY7guuPNwncY3DCMZxj5aDc4FEFYSYUHPTjujRizLata0WXMr9PgKx3WZPXdB4z8Sam1zFyxq2F4tATV3wS6Uio2zw1RjB6OothVKjb1pq3UUC2U/MuRiex6jWPZHKsRIGPFQjdpXrH5cA6kiqwdV4ygTyTS2m6xdy3aTSCkpFfNIwBgTOhJDmKUmRrRYNoMQKGHgB4pSoYBhmCRSyfD4qG6GaZBImeGyS6EYmbig+lVTkVvH49urAhvg4KswCN7Hjr6CCm8EPo3r8U3WLrfTMexk//hOI4Objdqm1D5SV9HtBTuchwCUgp4+H9ff+inJ9O3U+BqTtDsjdRV7ejM4kxSQjgrmn6y9Gszv+ZIgQmS25zEqgUQSilX18xjlrapGtTcaYXTCATuRGncdO5FCQsPEBXEUTNCWZXxosWwGGUBQoVT2ME2TRKoHSzQu/mxaBqR7KedzlIvDDT1kA9yROMvGAVVhgWkTk1GB+iPFn9NWAdcyyKvZpMWmyPjEYTlnJD6xsRVSVr14KkGPMdiwPVDWdjnG8y88Ma5Pcva+BKVBKsP/aHgNp2chZqKf4qbHG7YbVpLkrL0pbn5y3J7l354qx7xn+VjknuWBr3rVhPGJhZJH2ZcM9DQWWz+QZPMV+tJOZHziluHydjuGo5ywxqW1Nc7StsyG5yul8AKJPRKTOZpSIY9XLtQSDkTFalYtSq9cwBoVh6liCLTUYhkf2hu2CZSCUqmCaQqSqdSkH6wwDjNJEDSXfH2yOfiTPGlrNJpty2hnnqg0d6NxE6lY62Fq4kdblk0gpayVylIiaoeinmocZjVxQTsxmEopisWyfvrTaLqYsdVDovLKjmVsHKZhtn971pZlfGixbAZBrURWMzZiHIJZLQ0mpcJ19dum0XQSJVtbvWm3zNZowbStifekp4IWy/jQy7BNYBgGrX6WqoLZypJsVSiDQJFMOvoDrdF0GN/3CLzm9gzjqkdZLe9Vrkxe2kszfWixbIJ2JaoVwRwtlOm0G+kkoNFo4kMIQSGfJfAnruxSpVSMt3BzIpXGjSoV1wS6+HN86PW8pgiXX8OIqq3/j0aNLNdu7WOYFqm0oJAvUWxQ3ms0UkGxkEcFilQ6gWGaBEGAAnwpsJQBSAJloFTENRD4ysCMaPcxwj4y6vztc4xGWVNM20WoJMprnFHFcpMYthuZccWwUggDbDeFHHGetAyBYQrchIk0JI7rkkimSSQb3wgTyfRIn+j20f82/FulwpcKPyI20Jcq7BPVPnI8qn17H8MPJKZlEwSS/HCWRDoT6U2rlKJSKuCV8iRSPbjJ1LiH4GqBvqiH46h2J9F+Zh+9DBsfWiybwTAJsBGq6kZeX5h5PJKABi7nhoWbssJlm3yBRAPPWqXCWE4pAxKpnnBsFRZ/lgqKsgcVJIEyRZJA1BerjA/4ZCaYZ5n8JO3b2xiZefs07mL3kUz3TXANcKPOrbbP2rX2f0EYg7fLHgF+EN4Me3oz9PTuN+E1dn/5xO0Ld9ltwnbPD8tTTUQ2P3F7vjTxMuT2Okax6BFIsJNpKqUCxeEs0IdpjQ9hqdQVbk7iRQizHCnlNeE8xpzr66wEXYUWy2aQASYeplAjMZAGJlFfVEGAjYlHo8LPpgWkeyjlh8fFYSqlKBRDZ55EugfHlFCNxRyJs0wawyRMQYl+Egxi0Hi5qMAcTMq45Bq2l8kQ4JLixcZ/MvZ2OUa6geHWib9DSR9kwML9D8CwUmTzFWzLIBXhpFUo+3i+pC/tNGz3A0m+5JNORNdo1GO0N4YlbUxDYFkmdm8f+aEs5XyOdKYfa5Rglop5vFIolKlUOtIq84KwBq4ZkRghkCqM5Rw7x0AXf+4mtFg2RbjounURlsgUV4z0HJG/hj0s0yKVTlHMh5l+UqmwoHaxUEIGilQ6jWFaiFFJCcTIHCxDYQoJysAUElM0HsOQCktIrIj2QEmUUlgReeYCpcdoZwyFQikPywyLCRuGCAPeI27eliEIJmiv9TONyD56jPbGsMzQkS8UGoNUT4ZyYYj80CA9vQNYtk2pkKdUDJdeTSc5oSiJ6k9ku5qwvR20WMaHFsttzOiwkny+BIT7KOm0izDNpkJUNBpN/Ahh0JPpZzg3yPDQFizLwfPKYcKBZCpy6VWzfaFdK7sA0zRJpVyCQBIEklTKxTQbp9fSaDTTT1UwlVJ4XhnbdmPxeu002hs2PrRl2QUopSiXt+59lssVTDOhy3tpNF1EuVis/d/3K/ieh2l19y1UL8PGh7YstzGj4yh7ehL09CRizSWr0WjaZ3TCgf6d5mCaFsNDW/CnGIepmflosdyGKKUoFgqjEg6YdYkLioWCFkyNZhtTLhXqEg5Ul2RN0yKfG5xy4oJtgV6GjY/uXkPoNgyTAAuhzBH/teg4y7A9wMdENHgmCYUyrJKeTKVrcZThOBaJlEWxUKCYH65LXBAoQaB88n4Kz+8BSgzTExlyIfEIMKnQeH9FYgIeQ0FUu63HaGMMpcIbVqUgwSjXig1PVoNxy3B5wvZsvoIxSUFjPUZrYxQLlTDG0Zf4fmlUHGWiLim6m+qlMJyrxWFaDeIwIfSFD5RCRiRUr37txyZcD2KIs9TLsPGhxbIZlEIoiUCgRl46QVRFAQOFgUAiqP+yhwkHikgZprUKS+XV97FMQSKVplQoUBqV6ad6PZMKlvAISGBSwlCNbxieCMNRLDXcUrsU6DHaGEMhEQrskdCRYiX8vLhW40Wdydp9qfB8iW0ZWBECoMdob4zANDAAv1ykUinV6lGOQ5ikR+IwS/kc6Z7GiQuCkdUhI0KIotq1cHUXWiybQUkMIUc+1BKFiUG027iPhYnPaCEMy2yFCQeS6d4w/i6i+LNtWYh0mlJ+iFKxQCqVGBkfEpaPa5bJq14SIhtZNDmQxkjR5MbthqrgqQRJI+J8hR6jjTGU9FFBmaQrMCybsi8nLGgMUPZlZLsfhNlmUm50oL0eo70xlGehlKRSKZJI9mAnUtGFm5Ug2ZOhkh+ikM/W4jBHI/0gTEoQFQ8aSKRS49or5faXd7VlGR96z3IaGZ8UffJnlbCA9Ojk69MwUY1mBycIfNxEGneCHLxVhDBIZ/q2Ov147Yuc73kU80NtX0fvWcZHV4nlj370I4444ghmzZqFEIKHH354Sufdcsst7L333iQSCfbff39+9rOf1bUrpbjwwgtZsGAByWSS5cuX89RTTzU9P9nGHsJ4oZx6HGWd00+xTFRGII1GEw+maeEmp57IfLTTT7uC6Xsew0NbYin+3GlWrVrFIYccQm9vL3PnzuX444/nT3/604TnvOENb2go0kcffXStz6mnnjqu/cgjj+z0nzMhXSWW+Xye173udVxxxRVTPud3v/sdJ510EqeddhoPPfQQxx9/PMcffzyPPvporc/nP/95vva1r3HNNddw3333kU6nWbFiBaVSqan5KaWoVJr/ErQjlFWqgimlwo9weNBoNPHQync0DsGsCqVpWiRTPU2fP35OnbUs77nnHs4880x+//vfc+edd+J5HkcccQT5fD7ynB/96EesW7eu9vPoo49imiYnnHBCXb8jjzyyrt/3v//9ll6DuOiqR5f3vve9ADz77LNTPufKK6/kyCOP5JOf/CQAl156KXfeeSdXXXUV11xzDUopvvrVr3LBBRdw3HHHAfCf//mfzJs3j9tuu40TTzxxymMJIahUfEyzgh2R3HkscQhlFdM0SSYdKpXmitJqNJrpYWxqvJ7eARBTs0lGC2VPph+vhQfz8fPp7J7l7bffXvf79ddfz9y5c3nwwQf5p3/6p4bn7LTTTnW/33TTTaRSqXFi6bou8+fPb2o+naSrLMtWWLt2LcuXL687tmLFCtauXQvAM888w/r16+v69PX1ceihh9b6NKJcLpPL5ep+DEPgOBalkke53NijcjShUBZjEcoqpmlgWToVnkbTrYy1MKcShxn49UIppiiwnWLsvW8q9zuAbDYLjBfEibjuuus48cQTSafr94fXrFnD3Llz2WuvvTjjjDPYvHnz1P+ADtBVlmUrrF+/nnnz5tUdmzdvHuvXr6+1V49F9WnEqlWruOSSS+qOXX7F5Vi2gzACyqUKSgkSERamVIJSYQgpFalUEmGYjN3yVCgUBlHPLGHBYjXyb/W6CoWk5FuowAU8SrhEFMJACkkZB6kaz9MTDiApBhF/h9BjtDOGUgYCB1VWGL5Xi+uLotpWKDW+wVZrHBbKfmQ4hB6jvTGKZR8pFTKQMOKhGkQkS69+lAKpxlUgSqYzFIazFIazJHv6cGhcSqziVSgOZ7Esi2Q6g5QActz9olVacdrZZZdd6n6/6KKLuPjiiyc8R0rJ2WefzWtf+1pe8YpXTGmcP/zhDzz66KNcd911dcePPPJI3v72t7N48WKefvppzj//fI466ijWrl27zfJmbzOx/N73vseHPvSh2u8///nPef3rX7+tpjOO8847j3POOaf2ey6X43vfvxElDBzXRmFQKZcQuDiuW3dumHCgOFK4OY1hGhEuOdUyTlFPkePbqwIb4OArmzDxgR19BRXeCHzcltqlHqOtMRQjS2GBArX1hhsVaD9Ze9XJzPMlQYQA6DHaG6MSSCQg1dbHWBnhhq5GtY8fQZBIZ2qJC0SDOMzA9ygOZzFMi0Q6Exb/GxkrjuxdrS7D/v3vfyeT2VpI3XUbf+ZHc+aZZ/Loo49y7733Tnm86667jv33359Xv/rVdcdHb4/tv//+LF26lD322IM1a9bw5je/ecrXj5NtJpbHHnsshx56aO33nXfeuaXrzJ8/nw0bNtQd27BhQ22tu/rvhg0bWLBgQV2fAw44IPK6ruuO/4DIABMfUygSCSfcwywVMESA64ZPjdXCzUoqEukM7ujCzWMIcBEEkXGWYYFpE3NUPcuw+LMkbRVwLYO8mk1abIqMHRyWc0ZiBxtvuJdVL55K0GMMNp6jsvQYbYxRi7NM7YphuWwZLk8YO1goeZR9yUBP45uTH0iy+Qp9aScydlCP0d4YjnLCGpeWgRAiLMwcsfWhlMILJLZpRIiSCT0ZSvkcpUKuLg7T9zxKhRyWFQqlMyY+UwXbzjchk8nUieVknHXWWfzkJz/h17/+NYsWLZrSOfl8nptuuomVK1dO2nf33Xdn9uzZ/OUvf9lmYrnNFsZ7e3vZc889az/JJty0R7Ns2TLuuuuuumN33nkny5YtA2Dx4sXMnz+/rk8ul+O+++6r9WkVx02QSNgje5iVMc48ySnFUWo0mu2bsIB0fRzmaGeeVE9fx/YoO+0Nq5TirLPO4tZbb+VXv/oVixcvnvK5t9xyC+Vymfe85z2T9n3++efZvHlzncEz3XTV3fyll17iueee4x//+AdALV5n/vz5NQvx5JNPZuedd2bVqlUAfPzjH+fwww/nS1/6EkcffTQ33XQTDzzwANdeey0QfljOPvtsLrvsMpYsWcLixYv5zGc+w8KFCzn++OPbnnPVoiyVPEolDyFEzZlH+6xqNBqo95Idyr0EgGXZ9GT6kTKeJdfG43bWG/bMM8/kxhtv5Mc//jG9vb01P5C+vr6aATT2nl3luuuu4/jjj2fWrFl1x4eHh7nkkkt4xzvewfz583n66ac599xz2XPPPVmxYkVT84uTrvKG/Z//+R8OPPDAWnDqiSeeyIEHHsg111xT6/Pcc8+xbt262u+HHXYYN954I9deey2vfOUr+eEPf8htt91Wt8F87rnn8tGPfpQPfvCDHHLIIQwPD3P77beTSCRimbfjbF0+sSxDF27WaDTjEMIgMSp2MpHq2eZer+2yevVqstksb3jDG1iwYEHt5+abb671GXvPhtAQuvfeeznttNPGXdM0Tf7v//6PY489lpe//OWcdtppHHTQQfzmN7+Z0t5pp+gqy/LUU0/l1FNPnbDPmjVrxh074YQTxsXojEYIwcqVK6e0Nt4s1aVXIcI9Ds8LKJcruG48QqzRaLYPfM8jPzRY257JDw3S0zuAMDr3cN1py3IqFnGje/Zee+0VeW4ymeSOO+5oah7TQVeJ5UyjUcKBcrlCqeQBBqbb2FVco9HsWAS+RyGfrcVRArXEBal0H6JD/g06kXp8aLFsijCSSiGQCoqFPCpQpNIJDNNEAY7rohCUShVsipiuCQ2cyqHqdi5o5HTOyDjV8cYe86XAUgYgCZSBUhFxZAh8ZWBGtPsYYR8Zdb4eo50xlBSgbPxAYQgZpiuUCj8ibs+XKuwT1T5yPKod0GO0OYYfSJQasZpE+D2NsoKmEubh+x6lfA7LtEj39lG9H6R7+8jnsuSHsyTSmUiPXU13oMWyGQyTABukQalQGImj7Kkv3AxYjoVUZSqlIqjEuDjMrciwMOyEb0N9gelAjQi17EEFSaBMkSQQ5U1cxgd8JnIDL5OfpF2P0eIYSoEwqBQVwqgAYdxf1q9McI2wYPFE5EsTu4/pMVofo1j0wsLLgcIUI7GaEwguVBMgjBfM0XGUTroXfyThQBUn3UswqoD06DhMP4asBNqyjA8tls0gAwzlUS6GmVgS6R6ciDjKZMICkcQrFeviMEcT4CCQk8RZGpiMuhmIACUCksYwCVNQop8Egxg0zmJSYA4mZVxyDdvLZAhwSfFixBxsPUYbYyjpgwxIJBdiWA7ZfAXbMkhFZH4qlH08X9KXbryE7weSfMknnYiu0ajHaG8MS9qYhsAyxdY4y4jzlQotU8sYL0q+71HO5zBGLEqroeOfgTFSQLqcz5HO9GNVBTNoX7i0WMaHFssmUChKxTBBQCqdxjAtBFE5EwWOm8QkoFQqI1DjBFNQXYRt/AQpRi3Ujj6mpMQyFKaQoAxMIWtPwGMxpMISEiuiPVASpRRWRA64QOkx2hlDoVDKC4t8mwaGIcKA94ibr2UIggnaa/1MI7KPHqO9MSzTQIgRoWHkezqhiKhxolRz5rEs3FQvhohKWgCGMEj1ZCgXhmpOP2MLSGu2PXqRvAmkDG+WzSRFd12nLnFBu1QqXmSeSo1Gs+0ZWz1kKuEhcdbDrL+uLv4cF1osm0FBIuE0HUcZl2CWyxXKZR9TOwJoNB2l1RwBrQhllXHVSoL4SnRpsWwffddtAsMwWhaqdgWzGpLiuhaGod82jaaTBH4FpZpbwWlHKKuMFsxifqjp8zWdQ991m6Ddh65WBbMqlImEXZctSKPRdAalFIXhoSkLph9jPcqqYBoxxF5qyzI+tFhOM6MFs1IuTdq/Ui7VhLKRR61Go4kfy7KRgU9hODupYAa+Rz43GGvhZiEMkqNS47V+HS2WcaG9YZvBMAmwEMocSRQgI2Mkw/YAHxMx5pnEciwcVaZcKqLUeC/ZKuVyhUq5hOsmsByXQIVxloHyyfspPL8HKDFMT2Q4hMQjwKRCOqLdBDyGgqh2W4/RxhhKhTesSkGCUa4VG56sBuOW4cZe1tX2bL6CMUlBYz1Ga2MUCxUCBE6yh3IxT2E4Bz2ZhiLoj4qjdFO9+EEYOT0aBQRKIf3Ghayr26PemHYZkRxDs23QYtkMSiGURCBQIy+dIKqSu4HCQCARjP+yu66NQlAplxHIcYIZCqWH4yZwXYtqIHP1eiYVLOERkMCkhKEa3zA8EeaotdRwS+1SoMdoYwyFRCiwR0JHipXw8+Jaja2Pydp9qfB8iW0ZWBECoMdob4zANDAIrUujp4/icJZSPjeulFYwkpmnGkdpRFiUwYi3kBFhtUW1x2Hl6TjL+NBi2QxKYgg58qGWKEyMBkJYxcciLNTVuI+bSCKEolIqYYitglkVSjeRwHGTGKNiOZWQGAISlo9rlsmrXhIiG1nQOJDGSEHjxu2GquCpBEkj4nyFHqONMWrFn12BYdmUfTlhQWOAsi8j2/0gzDaTcqMD7fUY7Y2hPAvDCB9uTGEievooFXIU87naMqvvhblerZHMPJZpRgqN9AMMIaKdAwOJVGpcexy1n7VYxocWy22M67oYBCPJ10Oqe5S260akK9BoNNOFadn09A4wPLSF4dwgiVRPrXpIurePiFVizXaGFssuYHQBaaDmzKO/gxpNd2DZoWAO5V5iOLdlVPWQcJWpW9GWZXxosdRoNJrtFC2W8aFDR7qA0XGUcabG02g08VBNOGBZNj2ZAaQMGM4NNp24QDNz0ZblNqZcLlNpEEdZKnlIyjhuahvOTqPRBL5HqZCri6Os7mHmc1mcdC/dandoyzI+tFg2gzCQauQHgzAwIKJ0T7UQMEZEaWcol4tUyhVc18V2HKrl62wngVQG5VIFpQSJUeWDpFJIJSn5FipwAY8SLhGFMJBCUsZBqsZvtSccQFIMGrdLocdoZwylDAQOqqwwfK8W1xdFta1QahwLWq1xWCj7keEQeoz2xiiWfaRUyEASqIDicBbLskimM8iRepTCMEml+8gPZwmGcxgThI5U4yyJKIBQDR0ZWyAhhnKWWixjRItlMwiBEsaIEFZLMEV9QQRhgSZBo6fOSrlMpVzGcRM4rjPO69VxEygMKuUSArdWQFqhUBgEOPjKJkx8YEc+1yoV3gh8Ghegnqxd6jHaGkMxcsMKFIxasosKtJ+svRpo7/mSIEIA9BjtjVEJJBLwfI9yMY9hWiTSmbCY3qgM62LkeHE4S34oSyoicUFtPpNkZx/brlrN5q7pCFosm0EGmPiYQo0UZjYxI+tZGvg4WFQY6y23NY4yhevakcWfEwknzP5SKmwtIC0ClJCkrQKuZZBXs0mLTZGxg8NyzkjsYL5he1n14qkEPcZgw/ZAWXqMNsaoxVmmdsWwXLYMlyeMHSyUPMq+ZKCnsSD7gSSbr9CXdiJjB/UY7Y3hKAcTRamYx7JsEukMTkR9yfC6fZTzOcqFoYbp7rxJ4iyDkThL26qvZiT99v0WtGUZH9250L4dU5cU3U1M2t9xE9rpR6OZZnzfwzCtcVl7GmFaNulMP0Hgx+b0o5SkWGicKapZdF7YeNBi2QTtroqMFspmkqLXJV+vxFMUVqPRRCOEINXTO+Wk6NZI4oI4BFMpyXBuEBlHCh9NbGixbAIp5bhN+KnSqlBWqQpmuewjpXZX12g6iWk5TVcPqSYuaEcwq0IZBD7JdG/T549FVx2JDy2WzSCgVKoQBNEeeo1oVyiruK6D61otC7ZGo5karWpGO4I5Wih7egcwzfZr12qxjA8tlk1gGAZCCPL58pQFMy6hrOI4dnRCZo1Gs81pRTDHCqUV4VCk2XZob9gmEAjcpEOl4lHIF0ikDQwz+kmsUi7ilSq4CadheIgauaqKiMRUCBTUtSsEwjDwpcBSI7GcykBF1L6TCHxlYEa0+xhhHxl1vh6jnTGUFKBs/EBhCImUCl8q/IjVAV+qsE9U+8jxqHZAj9HmGH4gUWokdEOE39OoMI7q8bHtpmWR7u0nnxukMJwLS3hFfe6UDGtmyoB0ph/TsmILG9HesPGhxbIZDBMpbNykS6lQoJQfhlQa0zTHdQ3jKEs4owo3j0eGAcsTvg31BaYDJZAKirIHFSSBMkWSQDLi/DI+4JOZYIwy+Una9RgtjqEUCINKUSGM0JvZ88PSURORzU/cni9N7Pyhx2h9jGLRI5AKAoUpRmI1J9n6CBMgjPmSCxN3VBxmskEcplKS4nAOGfgke/pQwqyN5ceQlUCLZXxosWwGGWDiYRkWyXSKYqFIuTBMKp2oE8xyuYJX9nASSZKuCRFxlAEOAhkZZxnGchqYjLoZiAAlApLGMAlTUKKfBIMYNPaSLTAHkzIuuYbtZTIEuKR4MWIOth6jjTGU9EEGJJILMSyHbL6CbRmk3MZfvULZx/MlfenGS/Z+IMmXfNKJ6BqNeoz2xrCkjWkILDMUGqkUdsT5SoWWqWU0FiXbdIE+SvkclfwQ6czWUBSlJPncEEoGJHv6SLhj4kUDLVzdhBbLpggXRAUKQ0AylaZcyFLIl0inXUzTpFyuUC55JBIupptEUGHcE+cI1WuJyHZV9y9sXbS1DIUpJCgDU8jaE/BYDKmwhMSKaA+URCmFFZEDLlB6jHbGUCiU8rDMsJiwYQgsQ0TevC1DEEzQXutnGpF99BjtjWGZBkKMWGWMfE8ntLjUhBacZdmke/oo5EMLMyztBfmhLIH0Sff0IUyrI1adtizjQ4tlGwghSKUSFAol8vkylmXgeUHNmUdHSWk0GqgvID2U3QKAlAE9vQMIw5w0FV6raLGMD+1W2SZVwVRK4XkBtm3G4vWq0Wi2LyzbJt0bZvoJAp90b7/2ep1BaLGMgdFZdXxfNh2HqdFotn+UkpRGpbArFYY7Xg9Tx1nGhxbLNhkdR5nJpDDN5uIwNRrN9s/oOMrezE70ZnaKNZdsFFos40OLZRtUyqW6hAPVJdlQMIsEOrejRrPDo5SkMJytSzgwOnFBYTjbcQtT0z7awacZDJMAC6HMkTJbJdwGcZRu0qJYKFLKD0EqjWU2fpkVcsQXNqpd0CjOMlA+eT+F5/cAJYbpiQyHkHgEmFRIR7SbgMdQENVu6zHaGEOp8Om+UpBglGvFhierwbhluHHpt2p7Nl/BmKSgsR6jtTGKhUoY4+hLDCu0Jzy/8UpR9WvvBbJhahE1knBABj6pnj6UMLZeSxgkUhkKw9kwKcGYOMxAx1l2FVosm0EphJJUyh6VsofjJnBdi7H1KoWAZCoZCmYhP2Jtjk9cUBVJQdQXcXy7QCKQmFSwhEdAApMShmp8w/BEWAbMUo3L/UzWLgV6jDbGUEiEAnskdKRYCd9L12q8qDNZuy8Vni+xLQMrQgD0GO2NEZgGBjD6FCNCRBRh0WZjJMykrk1JivmtCQdse7zjn2E7JHv6KA5nKeVzdSXB4hAuLZbxocWyGZTE98p4XoCbSOC4SYyI4s+GMEike6kUshQLxVocZt3lEAgCDKKWYCQKs65dCYlAkbB8XLNMXvWSENnIgsaBNEYKGjduN1QFTyVIGhHnK/QYbYxRK/7sCgzLpuzLCQsaA5R9GdnuB2G2mZQbHWivx2hvDOVZGEb4cFNNShCVj1kphQwU5pikBOEeZQ4pA1IjQhl1DQcH0dNHqZCjmM/VCkjrXZzuQu9ZNoGUikrFH9mjbFydfTThHmYyVqefIPj/2zvzcDmqMv9/zzm1d997E5YkRIgEERFk0Qgh8nMZyEMYfQQUBR0lgojLJD6D8VFEZXGFAR7gEQPMMCwuaBhmQH2AwcFAZDGBhwCjCOZBloDIjURzl66tq845vz+qq2/37apebte9ucHzeZ4L6T6n+j1V1VXfPqfeRSDOWRJSKBQ7n5bqIVrn8BBWYD3MRpSDT3EosewBKSUMQ+spjrLZ6ac/weScw/er6gutUMxS+qkeUkQ9zMkosSwOJZY9QAiBYfQeRFyEYHLO4bphkp4r5xmNQqEohqlco0WU2WoUTN/LfjY+m7joootwxBFHYGBgAPPmzcNJJ52ELVu2tN3mpptuahFoy7Ka+kgpcf7552OvvfaCbdtYvnw5nnnmmenclY6ou24P5HnUdUM/gpkKJWMEtm0COSW9FApFMXAeI/T9rvsXWY8yFUxRwEPL6Z5Z/vrXv8aqVauwadMm3HPPPYiiCMcddxxc12273eDgIF555ZX639atW5vaL7nkEnzve9/Dtddei4cffhilUgkrVqxAEAQ9H4OiUA4+M8jkXLJWyYDWph4mkFy0QU0oHceCECoeS6GYbhjTEAYuCCHQLadt37R6CBfFFW7WdB12aaDvz5lub9i777676fVNN92EefPmYfPmzXjXu97V1s6CBQsy26SUuPLKK/H1r38dJ554IgDghz/8IebPn4+f/exn+MhHPtLTGIti1ohlFEX4+te/jrvuugvPPfcchoaGsHz5clx88cVYuHBh223Xrl2LSy+9FMPDwzjssMNw1VVX4cgjj6y3B0GAL37xi1i3bh3CMMSKFStw9dVXY/78+b0NklAIWfsDRRIYkOMllxYCBm2ZB1p2Ut7Ld11YjpNb/ifiAoHngVEKy7YhkdSyFFIgiDVIbgKIEMBETiEMCCIQwoCQ2ac6IgYAAZ9ntwuibPRjQ0oKAgMylKBxVI/ryyNt84LsWNC0xqEXxrnhEMpGfzb8MAYhFIZhI/BdCADUzomtrdWjlIIn1UMoA59U+1IC4FICOTUxeS2J+uTtCN15eWPHxprL1Jmm2ZVT4+joKABgt912a9uvUqng9a9/PYQQeNvb3obvfve7OPjggwEAzz//PIaHh7F8+fJ6/6GhISxduhQbN25UYul5Hh577DGcd955OOyww7Bjxw78y7/8C0444QQ8+uijudvdcsstWLNmDa699losXboUV155JVasWIEtW7Zg3rx5AIAvfOELuPPOO3HrrbdiaGgIq1evxgc/+EE89NBDvQ2SEEhCa0KYlmDKE0uCpEATQctqNwEsp1SPwySO0xJWwjlH4HmglMFy7MR27RMlKDgMxFIHwBFDz11PlzK5EcTI/qJ3ahfKRl82JGq/7rkEGhw28gLtO7WngfZRLMA7PBZQNqZmo8oFBADNtAHGUPWTJUVz0gyzMeGAXSuz1a56SKfKIpPbZQGVSKY6s9xnn32a3r/gggtw4YUXtt1WCIGzzz4bRx99NN7ylrfk9nvTm96EG264AYceeihGR0dx2WWX4R3veAd+//vfY++998bw8DAAtExm5s+fX2/bGcwasRwaGsI999zT9N73v/99HHnkkXjxxRexaNGizO0uv/xynHXWWTjjjDMAANdeey3uvPNO3HDDDfjKV76C0dFRXH/99fjJT36CY445BgBw44034s1vfjM2bdqEo446qvtBCg6GGIzIWmFmBpYTZwlQxDCgoYrJSQsAAASwS2UE3jgCz22Kw0yEMgRjDJZThkYmF38WKGkeTI3ClXugRLbnxg5WxJ612MHsZwihHEAkLZTpSGY7l5qy0YeNepyl83pQzcSOStg2dtALIoSxwNxytiDHXGDUrWKoZOTGDiob/dkwpJHUuNQodD2ZUUahB41SWE7yOnlGOQ40FG7OE6Uo5qCE5MZZci6SAtPapDjsAp9Z9tIfAF566SUMDg7W3+9mVrlq1So8+eSTePDBB9v2W7ZsGZYtW1Z//Y53vANvfvOb8W//9m/41re+1fVYZ5pZ7eAzOjoKQgjmzJmT2V6tVrF58+am6TqlFMuXL8fGjRsBAJs3b0YURU19DjzwQCxatKjeJ4swDDE2Ntb0VzSEENhOc/L1Jmcex1Gu3ArFTsa0HNh2Gb5fQeC5Tc48pcE5XcVR7moMDg42/XUSy9WrV+OOO+7Afffdh7333rsnW7qu461vfSv++Mc/AkD9Wea2bdua+m3bti33OedMMGvFMggCnHPOOfjoRz/a9Aunke3bt4Nz3na6Pjw8DMMwWgS305T+oosuwtDQUP1v8rJEUTR6yVYqASqVoO7Mo4RSoZgdWE6pLpgjf3t1wut1lgvldHvDSimxevVq3H777bj33nuxePHinsfIOcfvfvc77LXXXgCAxYsXY8GCBVi/fn29z9jYGB5++OGmGelMs9PE8uabb0a5XK7/PfDAA/W2KIpwyimnQEqJa665ZqeM79xzz8Xo6Gj976WXXpo2W4SQpkQHaQUThUIxezBtu/5vTTN2mcLN05mQYNWqVfjxj3+Mn/zkJxgYGMDw8DCGh4fhN4TdrFy5Eueee2799Te/+U387//+L5577jk89thj+PjHP46tW7fiU5/6VH28Z599Nr797W/jF7/4BX73u99h5cqVWLhwIU466aS+j8dU2WnPLE844QQsXbq0/vp1r3sdgAmh3Lp1K+69997cWSUA7LHHHmCMtZ2uL1iwANVqFSMjI02zy05T+m69v4qAcw7PC+vPNDwvRKlkguRUK1EoFDNLuvRKCIGmGYiiEIHnwrTbh5W81kknM+95z3ua3r/xxhtx+umnAwBefPFFUDoxL9uxYwfOOussDA8PY+7cuViyZAl+85vf4KCDDqr3+fKXvwzXdfHpT38aIyMj+H//7//h7rvvbkleMJPstLvxwMAABgaa44hSoXzmmWdw3333Yffdd2/7GYZhYMmSJVi/fn39F4cQAuvXr8fq1asBAEuWLIGu61i/fj1OPvlkAMCWLVvw4osv7tQpfQrnHH5DHCWAehymXdJAM6qVKBSKmSN15mlMOBB4Lny/AgkJZtidP2QnMd1xlt147G7YsKHp9RVXXIErrrii4zi++c1v4pvf/GZP45lOZs3UJYoifOhDH8Jjjz2GO+64A5zz+jPF3XbbDYaRLFMee+yx+MAHPlAXwzVr1uATn/gE3v72t+PII4/ElVdeCdd1696xQ0NDOPPMM7FmzRrstttuGBwcxOc//3ksW7asN09YAEAavkFqf2mISB6yFmCS3SfmMQLXA2MUtmMltb2QlPfyvACe68EqUdCGxAWp3VgQaLIWyykppMyJIwNBLClYTnsMmvQRedsrG/3YkIIAUkfMJSgREEIiFhJxTsxdLGTSJ6+99n5eOwBlo08bMReQMhECiSQ8BILXnHk0SClh2g4kJAKvAl1IaE52HCaA2n0iX1g6tfeDKtFVHLNGLF9++WX84he/AAAcfvjhTW333XdffZr/7LPPYvv27fW2U089Fa+++irOP/98DA8P4/DDD8fdd9/d5PRzxRVXgFKKk08+uSkpQc9QBg4dRKazvebCzK0IcGTPDJPwkAooZTBtBwJkopIskgLSgechcCuAU5oIK5FJYgJflCG5DSCEDxtA3q/bEDGAGPnL2UAIt0O7sjFFG1IChKLqSxCahABFcVI6qh2jbvt2N2gfVqBsTN2G70fgQkLGHNVgvB5HKQlD1CCqzLChC1mPwzTaZPoRtVJebccxSdTTpAqK2cGsEct99923q19WL7zwQst7q1evrs80s7AsC2vXrsXatWv7GWItzjJqiLOkYMi7UAk4dDBEaFJBJEIZegEo02E7NhjJyFJCALuUZPoJvQqcUq2ANOGQhMOmFViMIMAcWBgBRXYWEw97giGEiezQlxCD4DDh4NXsXYaubPRhQ4oYEByWvRBUMzDqVqFrFI6Zfel5YYwoFhgqZVe2ibmAG8QoWfk1GpWN/mxoQgejQNVPwkTSOMos0hllFLhglMDKyPQTcZHEWeYkRuBCJnGWk8fIVfHn2cSsEctdg2TRdWIRFvX/t5L0rC3G1d/lnMOrPaM0nRJorZhzFpQAtlNC6I3Cc4PE6af2yRqVYEQAkoIRAUZyPkNIaERAy2nnUkBKCS0nBxyXykY/NiQkpIygsaSYMKUkCXjPuXlrlIC3aa/3YzS3j7LRnw2NUfA4ghAxSgNzQZjWVkQMywGjBIHvgoDUExekpNds3meQ9L4yqb0adJ/IPQ8llsUxa+MsZyP9Loo0JhzoNo6ytVqJSqSuUEw3Uko4paGuEw5YdqkpcUG/BJ6LsOr1/TmK4lAzyx4QInnwPxWmIpQpjdVKfL8K09w14rsUil0VTdPB9N5uj+mM0vcrTa97JfW0NY3+w1LUzLI4lFj2ggR8P4Sm2T2VlOxHKFNSwaxUfMRx74VpFQpF9xA6tUW3fgUzFUrbLoMWEGetxLI41DJsD1BKIaWE5wVdu3kXIZQphCTFn9UXWqGYvTSmxutlSbZRKKc6K1VMH2pm2QOEAJZlIAwj+J4HyxloO8PkPEbo+oXmeiUE0DT1G0ehmM00zjB1IWDn1MNMCQMPUegVLpRqZlkcSix7gTKAGbAcA77nwXcrsB078wsWc4HAGwelGkzbbomjBJLS0YlfbfZpSHzkmmM5uSTgEnBjB1FcBhCggnJuOIRABA6GKnKK14IBiDDO89p1ZaMPG1ImN6CqJwAa1osNd6rBuKOSXfotbR91q6AdChorG1Oz4XvVJMYxFqC1H6ZRzqOP9JKOuGj53cwMC7oQufUwU8LAQ9V3YdglMMOq2+IFxFkqsSwOJZa9ICWIFNA0BsspJUkDPLdFMJOEAwEoZbAdG5SkOTomfVzt8BPkXYit7QQCBAIMVWgkAocFhgBUZt8wIpKk0NNkZUrtgkDZ6MOGhACRgF4LHfGrybk0c1YHOrXHQiKKBXSNQssRAGWjPxucUVAkoVspNEdEJJKEA5SQzEWmdEZZ9V1QAOakGWbou3WhnDz7VMI1u1Bi2QtSgJIkwFjXNJBSCYE7jsD36susnHP4XgiNURjOADQSIbP4M5KZIwEHzWkHBCRYU7skApQAlhbDZCFcOQCLjOYWNOaC1goaZ7dTWUUkLdg0Z3sJZaMPG/XizyYB1XSEsWhb0BgAwljktsc8yTbjmPmB9spGfzZkpIHS5McNIQRCytzCzbKWmYfR/BmcaTmgAMLQA20oIB14LsLQg2WXoFtOi40Caj+rmWWBKLHsA8Y0lEomXDeE5wUwTaNWPYTAcWxw9cVTKBRIZpSU0rqXLIC6M49u2hDTkBcWUGJZJEos+4QxhlLJRKUSII4DMEZV4WaFQtHC5LCS1JlHJRrZNVBiqVAoFK9R1MyyOJRY9kkaR6lptL4M63kBHMfpKXGBQqF4bdMYRwlMzDB1c/rqYSqxLA4lln3AeYxgUsKBiWeYPgzHUIKpUCgQ+okzz+Q4St+vQAgBvU15L8XsQIllLxAKIZO/iAsEngdGKSzbTuIlZZImy3YoPC+AcMdBHBuU5HjSQUImTuqZ7UkxYVn7f+09KSGkQBBrkNwEECGAiZxCGBBEIIQBIbNPdUQMAAI+z24XRNnox4aUFAQGZChB46ge15dH2uYF2bGgaY1DL4xzwyGUjf5s+GEMISQEF0DNQzXvuWL6VeJC5lYPSuMoLbsE3bTrn6WbNoQQCHwXAgCdFDpSRDlLNbMsDiWWvUAIJKGIuUTgeaCUwXLs5P2GbpRRWA5Lll08PzdxQXqpydysg63tqcByGIilDoAjhp7/CTK5EcTIrsfXqV0oG33ZkKjdsLgE5MQNNy/QvlN7GmgfxQI8RwCUjf5sVLmAQCJW6XnM81aVDe1ZFhoTDuiW0/I5uuVAAJmJC7pNqdkOJZbFocSyFwQHeBVBGIExBsspQyPZxZ+ZRoHSAEJ3DKFfyfSQ5TBrcZbZAVVJgWkGhoYg+lrx55LmwdQoXLkHSmR7buxgRexZix3MzlEZygFE0kKZjmS2c6kpG33YqMdZOq8H1UzsqIRtYwe9IEIYC8wtZwtyzAVG3SqGSkZu7KCy0Z8NQxpJjUttIs5S11jm9lJKRFxAr8VkNhJ4LqLQqyccyIvVTGeUUehBa4jDlEUEWioKQ4llD0gJBEEVmkZhOU6SqLUNSRymDdf1a04//YeUSAnEHX5pKxSKnUujMw8zrI79TcuB1hCHWVR+WDWzLA4llj0ghKiXypIk7wlFM2kcZpq4oB/BlFLC90P1hVYoZjGTq4fk5ZWdzOQ4TFWia3ahylf0AsGUSmSlgsl5b+W9GklLgwkhoeUsCSkUimKQYmqrN/2W2Wos71UN/CmNQTE9KLHsAUppp5XXXPoRzFQoOZewbUP9+lMoppk4jsCj3p4ZFlWPMhXMsOpN+TNS0pllL3+KbJRY9kC/X6OpCGajUJZKZq6TgEKhKA5CCDx3FDzODkuZTOAXW7jZckowjWJiL5VQFoN6ZtkTyXPKJKJq4t/5yNpzzYk+lGlwSgSeG8DPKO/ViJCA77mQXMIpWaCMgXMOCSAWBJqkAAS4pJAy5zNAEEsKltMegyZ9RN72ykY/NqQggNQRcwlKBISQiIVEnBO3FwuZ9Mlrr72f1w5A2ejTRswFmKaDcwG3MgqrNJjrTSulRDXwEAUuLKcM03ZafgSnBfryfhzntRvW9GX2UfSOEsteoAwcOohMnxk2F2ZuRYAj4/ki1WA6WrJs43qwHKdFMKVMYjmF4LCccmJbJsWfhQR8UYbkNoAQPmwAeRdWiBhAjME24wzhdmhXNqZoI8lUgaovQWgSZhTFSemodoy67dvdoP0SobIxdRu+H4ELQLdLqAYe/MoogCEwrTWEpdpUuNlGlCPMolbKq+04Jm0bF5CVQDn4FIcSy14QHAwRGJG1GEgKhrwLlYBDB0OErMLPTANQKiNwKy1xmFJKeH7izGOVyjCYANJYzFqcpU0rsBhBgDmwMAKK7OUiD3uCIYSJscz2EIPgMOHg1exdhq5s9GFDihgQHJa9EFQzMOpWoWsUjpl96XlhjCgWGCoZme0xF3CDGCUrv0ajstGfDU3oYJRA0xj0gSG446MI3TGUBudAaxDMwHcRBYlQOk4pV2gintTAZTmJEbiQSSzn5DHy/oVLiWVxKLHsiWTRdWIRFrkprlDrWZO/zB4a0+CUHPhukunHcZJ4LN8LILiEUyqBMg2kISkBqY1BoxKMCEBSMCLASLYNKiQ0IqDltHMpIKWElpMDjktlox8bEhJSRtBYUkyYUpIEvOfcvDVKwNu01/sxmttH2ejPhsYSR75EaCic8iBCbxzu+AjKA3Oh6ToCz0XgJ0uvzLDbihJJ/3LbZdt2xexAieVOpjEO03UDAMlzlFLJBGGsq1hOhUIxfRBCUR6cg8rYCCrjO6BpBqIohG0nzyjzll5nA2pmWRzKtXIWwBiD45jgXIBzAccxwZiKpVQoZgupYEopEUUhdN0sLMvOdKJCR4pDieUsQEqJMJx49hmG1UKSKCsUiuII/YkkAXFcRRx1F1aieG2gxHIn0xhHWS5bKJetvjL9KBSK4mlMODBntz3BmIbK+A7EXcZh7izUzLI4lFjuRKSU8D2vIeEAa0pc4HueEkyFYicTBl5TwoF0SZYxDe7YSNeJC3YGSiyLQzn49AJl4NBAJKv5r+XHWSbtHDEYSMZvkkQokyrptlOqx1EmdjRYjgbf8+C7labEBVwScBnDjR1EcRlAgArKueEQAhE4GKrIfr4iwABEGOd57bqy0YcNKZMbVtUTAA3rxYY71WDcUQnbto+6VdAOBY2VjanZ8L1qEuMYC8Rx0BBHaTUlRTedAXiVsXocppYRhwkkvvBcSoichOrpZT854TovovqzojCUWPaClCBSgIBA1g4dQV5FAQoJCgIBguaLPUk44EOIJK1Vkhe9uY/GCCynhMDzEDRk+kk/j6EKjUTgsMAQgMrsG0ZEknAUTVam1C4IlI0+bEgIEAnotdARv5p8X0wte1GnU3ssJKJYQNcotBwBUDb6s8EZBQUQhz6q1aBej7IFwlCqxWEG7hhK5ezEBby2OkRzZm157UXM8pQ3bHEosewFKUCJqH2pBSQYKPLdxmNoYIjRKIRJma0k4YBdGkji73KKP+uaBlIqIXDHEfgeHMeq2QcsLYbJQrhyABYZzS1ozAWtFTTObqeyikhasGnO9hLKRh826sWfTQKq6Qhj0bagMQCEschtj3mSbcYx8wPtlY3+bMhIg5QC1aoPyy5Dt5z8ws2SwC4PouqOw3NH63GYjYiYJ0kJ8uJBuYCQsqW9Gva/vKvEsjjUM8sZpDUpeuffKkkB6cbk6zMwUIXi7xzOY5hWCWbWjHIShFCUBocmnH4K8JKNowi+O9735yiKQ4llD4g+niG0CmX3cZRNTj9+iLyMQAqFohgY02Da3Scyb3T66Vcw4yhCZXxHocWflYNP/yix7AEpJarV3i+CfoQyJRVMISTiHIcHhUJRDFO5RosQzFQoGdNgO+Wet28dkxLLolBi2QOEEFSrcVMCgU4UIZQpjDHYtqHCSRSKWUo/gtkolOXBOSBk9t+eL7roIhxxxBEYGBjAvHnzcNJJJ2HLli1tt7nuuuvwzne+E3PnzsXcuXOxfPlyPPLII019Tj/99BYRP/7446dzVzoy+8/GLIJSAsPQEAQRwjDbo7KRRCj9QoQyhTEKTVOp8BSK2cpkwewmDpPH0yOU0z2z/PWvf41Vq1Zh06ZNuOeeexBFEY477ji4rpu7zYYNG/DRj34U9913HzZu3Ih99tkHxx13HF5++eWmfscffzxeeeWV+t9Pf/rTKR2DolDesL1AKDTdAKEcYVCFlARWTvkgIQkCbxxCSDiODUIZJj/ylJCQoMj7zZIUE5a1/6efKyEhEMQaJDcBRAhgIqcQBgQRCGFAyOxxRsQAIODznP0gykY/NqSkIDAgQwkaR/W4vjzSNi/IvsGmNQ69MM4Nh1A2+rPhhzGEkBBcADUPVZ6TLD39KnEhWyoQ2aVBeJVReJVR2OUhGMguJVaNqvAro9A0DXZpEEIAgGi5X0yF6faGvfvuu5te33TTTZg3bx42b96Md73rXZnb3HzzzU2v/+M//gP//d//jfXr12PlypX1903TxIIFC3oaz3SixLIXCIEkFIapQ4KiGgYgMGGYZlO3JOGAXyvcXAJlNMclJy3jlPcrsrU9FVgOA7HUkSQ+0PM/QSY3ghjmlNqFstGXDYnaDYtLQE7ccPMC7Tu1p05mUSzAcwRA2ejPRpULCABCTvyMFTmPPmRDe6sFAqs0WE9cQDLiMHkcwa+MgjINVmkwKf5Xs7UzH7eMjTXXdDVNE6aZ/b1vZHR0FACw2267dW3L8zxEUdSyzYYNGzBv3jzMnTsXxxxzDL797W9j99137/pzi0aJZQ9IHicFWQmFrmuQ0kQY+ICMYBjJRSAl4PtJphbDLkMjHBB5GWOMWpKB7Lg9mVVgWggQKUCjHaCsCl/OhU125MYOhmI3aCQEI9nLIlyWEEsTDv1bzk5rykYfNqTgkKIKzZkLShyM+lUYjMLIWZHwqzGqXGDIySloLATG/QgDtg4tZ6lO2ejPRizDWvIRAfAYQgJaTuIDSImYS2gsewZHCGBaDkK/Ar8yAqc0BKYntngUw3dHQSmDaTlI9LxB+GX+rLpbpjqz3GeffZrev+CCC3DhhRe23VYIgbPPPhtHH3003vKWt3Rt85xzzsHChQuxfPny+nvHH388PvjBD2Lx4sV49tln8dWvfhX/+I//iI0bN+60ikxKLHugWo0RRRzJ9ykp6SqEgOuG8LwkpVa6XEMphe9WEEAiP9QjqLW1LyA9ObuPlBJ/+MOLIJRCQAMRETjnIIRA0yiEkOBcJEHONFk6zEueIGrLwHmJESQAAQ0UccYv5/QztgJSQPAoKY5ce6Yax8mYKNMBUoCNLvYDolrfd0oJ4jgp2MwYg6R6ITY67Ufj+WAs+Y5IvAKmGZAkyQ7TLv2aAHKXDaVMlvwYJci7B8YimeXI+vlIfsjFcZTcPJkOWYCNbvaDSAHOYzCmgVIGHicVdZimQ0hSiI1O+0GJBK/tO9MMCMHrY8o6H4JzeO5Y03PDXL2RtdUDpP/JHgckIESMkfAv9Zt98h0BKNUQR39rsSELWIedqli+9NJLGBwcrL/fzaxy1apVePLJJ/Hggw92be/iiy/GunXrsGHDBliWVX//Ix/5SP3fhxxyCA499FC84Q1vwIYNG3Dsscd2/flFMqvE8sILL8S6devw0ksvwTAMLFmyBN/5znewdOnSttutXbsWl156KYaHh3HYYYfhqquuwpFHHllvD4IAX/ziF7Fu3TqEYYgVK1bg6quvxvz583scYXJZJF+o5I8xijjmkFKC15K7MpZUWJcguTfmhE5fYtLwNzEGKVFPuh5DhwaAcwLfryKKkhu5aWowDC3JZQuRe4MX9dlr3lIXrduYLNopqQ2iJbPqIEhmwoxRWJYBSYqz0c1+VKsRwlr2E0IIbNsAY1qhNjrtx8T5SO6UlmPDtB3EcZKBieZkcxFctJ3JSCmBNjMZAEDNBjENeJVx+H4yU2aaDqdUhhQozEY3+xH6PsIgGQMhBE5pCFRjbWdkvdrotB+M6fDcUVSriWNeknDAzjwfIo4nRIYAkG2e5REkaTDbClKynsuojjiqgvOJ7xfTjFwbsk12sOlmcHCwSSw7sXr1atxxxx24//77sffee3e1zWWXXYaLL74Yv/rVr3DooYe27bvffvthjz32wB//+EcllgBwwAEH4Pvf/z72228/+L6PK664Ascddxz++Mc/Ys8998zc5pZbbsGaNWtw7bXXYunSpbjyyiuxYsUKbNmyBfPmzQMAfOELX8Cdd96JW2+9FUNDQ1i9ejU++MEP4qGHHup5jISgSSwBAk1jiGtJkAkhoJTV24oXy2QMjNFktgQNDAKMEcQxRxQl47AsszZODQQceU9NCRgkGFjbHLdaTSDyxjthw7ZNuG4AALBtE5rGIAq20Wk/LIuiWnPa0HVWWyIv1kan/Zh8PpxSGYTqkGif+owTAdIwO5+MlBKSCGiM5t6gG204ZYLK2I5kDOVB6LoBzou10Wk/WJmhWk1qQeq6CdO2C7fRcT90A1EUIorC2rEo137QttrgSGdktP5VIXnPPGXyn7qwZiEkQJLP0KReL+ulaTooY/Vnk5NtkJ04s+wWKSU+//nP4/bbb8eGDRuwePHirra75JJL8J3vfAe//OUv8fa3v71j/z/96U/461//ir322qun8RXJrAod+ad/+icsX74c++23Hw4++GBcfvnlGBsbw29/+9vcbS6//HKcddZZOOOMM3DQQQfh2muvheM4uOGGGwAkD5yvv/56XH755TjmmGOwZMkS3HjjjfjNb36DTZs29T1mKWWTUDa+nknCsIoo4tB1BkLITqmHyTmH54U1IafwvBCcz+yxSONaCSHQdYYo4j3FxRbF5PNRGRuFlDM7U4ijCO74CBjTknJS4yMzXrBYSoHK2EjtfJiIohCBlx9WMF0EnosoCqHrZu18jMz4+RCcJ0KZ/OJGHEcQ03x9THfoyKpVq/DjH/8YP/nJTzAwMIDh4WEMDw/DbyiUvXLlSpx77rn11//6r/+K8847DzfccAP23Xff+jaVSlKgoFKp4Etf+hI2bdqEF154AevXr8eJJ56I/fffHytWrCjmwEyBWSWWjVSrVfz7v/87hoaGcNhhh+X22bx5c9ODYUopli9fjo0bNwIANm/ejCiKmvoceOCBWLRoUb1PFmEYYmxsrOlvMqJBGDUtiX+cEMzspbzpIAyrCIIIlqXDcaxJuWRnRjA553DdEIwRlEoWSiULjBG47swJ5uQEEI5jwbL0WlzszAlm8/kwUXIMcM5n9AbdGLc3MDQXA0Nze4r7K4JUKDmPUR6Yi/LgHNh2Gb5fQeDPnGAG/kTh5vLgHJQH5oLzeEbPh+QccVQFCIGuG9B1IxHMqAo5wz8oi+Saa67B6Ogo3vOe92Cvvfaq/91yyy31Pi+++CJeeeWVpm2q1So+9KEPNW1z2WWXAUgeMf32t7/FCSecgAMOOABnnnkmlixZggceeKCrZ6fTxaxahgWAO+64Ax/5yEfgeR722msv3HPPPdhjjz0y+27fvh2c85Znj/Pnz8cf/vAHAMDw8DAMw8CcOXNa+gwPD+eO46KLLsI3vvGNpvcaXwspwWuCyDRadwZIl2Rlrb1dAoG6Y0AbJveRDf+XAKqhjyiowrQMGKYBCYAyDU6JwHMD+A3lvbI/n9Q+q/0zl9pCUWZrzGMErgfGKGzHqntD2I4NzwvguR6sEgVlU7eRtuWNU0jA91xILuGUrGR5C4BhmpAgCIIqdPhgZrpE3ruNbo5Vy/mQIjkfAza88XF4lTGUBoZAZf4YJPLDBroJK4jjCIE7Bo1pKA0MId3f0sAQ3LFRuJVRWKXB3Eoc3djoNE4hBbzKGCA4SoNzwDQNUkqYtgMJicCrQBcSmpOfqLzjsejULiWqgYcocGE55cS2lGCahtLAHLhjI5nnQ8rUa6fh6ss9FA1XZM45FYInP1BqQpneK3TdQBRVEccRmAYwUvzteCaWYTuxYcOGptcvvPBC2/62beOXv/xlT+OYCXaaWN588834zGc+U3/9P//zP3jnO9+Jf/iHf8ATTzyB7du347rrrsMpp5yChx9+uP78caY499xzsWbNmvrrsbEx3HDDDZCgEBJ1oaRMS2aTDdsyTQOPY0gpEMfJxZlNe4GY6NN4IRNICAipoRrEqIYBDNOCZpgTxaMBgGowHQ2B58J3PViO0+ZCyC9iPdGeLfqccwReJXF/tx0IkKYbi2lrSU1OtwI4pTZu3/k20nYJZI4zqQ/q1eJay82FtAFohgYhQ1QDH5BWS1xsNzaax5ndXg3D3PNBiA6zNAi/Mgp3fBR2ebBtlpYoJwg+JQm4b71RNcbtGaUBxLUA9xSjNADeULA4q/5iJxspQkoI3toupYBfGYPgMezyECRhTfvDDBu6kKjWZpeG5fRso5G8Y1UNvIbCzXZzP8Jyz4fgMn0UWb/yOomCTDeYPP5UKJF44qIhjjJ9j0fV+mw/8XeobdvWYveofK/FsNPE8oQTTmjycn3d614HACiVSth///2x//7746ijjsIb3/hGXH/99U1r3il77LEHGGPYtm1b0/vbtm2rZ35YsGABqtUqRkZGmmaXjX2yyA3Clbzu9Uo1DclkqfUi0TStNsMUuTPMpDh0+9CRxKO28SKXSWxX5COqchiWDdtkQIYHJ9MAlMoI3ApCvwLHsVounAkPz7xlSgIOHQxRyzg55wi9AJTpsB0bjGQsJxHALjnwPR+hV4FTsjIEM99G3VYtJnWyp6qUEl6tPqhVKsNgIvNY2JYGEBtR4IMSDtNsjc3Ls5HS7liFYRVRGLWej9oyH2UWdM0EMITAHUPVHUdpcKhFMLmQEFJCbzPri4WERltnDHEcIXTHQGszSi3zhwkFrRUsDt0xlAbn1ENLurGREvGkriub5JQipYA7Ng4pOOzyEKycHybpjDIKXDBKYGWUwsqzkdLuWAW+iyhIhNJxSpn7obPs88Fl4phX9+Nr5w1b806fCCebQIi4LpSaboDS1nEyQkB0I/GSjSMQPQklAWbxM7K/U3ba+RgYGKiL4v777w87pxyOECI3D2saXrJ+/fqm/uvXr8eyZcsAAEuWLIGu6019tmzZghdffLHep1skZD0rCNMYWIf8jUzT2jr9dPN7b3IfgiS+LKpGsCwDhmnX/GVl5p/GNDglB4IL+J4PSJHRL397UrM6uY/gMTw3AGMEtlNKQhVyPoMSwHZKYCxZGhY87spGpzFCJvskuIBTcqAxre32hmnDsgyEQRXVMOzxOOT3qYYhwqCafT4IEgGueVFrmo5SeQhcxHDHR5F6Utb/aue4kwPG5Pd4HCfOPJoGpzwISmju9pRQOOVBMC1x+uENoRLtbHQaJyDhjo+Cixil8hA0TW/7GYblwHLKCHwXoe91ZaOb9tD3EPjJ0qthOW3HkHc+MFn8SM5fvQ9pel8InjhTEVJLkUlyP4PQpE/yDDOCELy7m0MXTLeDz98Ts+bHi+u6+OpXv4pNmzZh69at2Lx5Mz75yU/i5Zdfxoc//OF6v2OPPRbf//7366/XrFmD6667Dj/4wQ/w9NNP43Of+xxc18UZZ5wBABgaGsKZZ56JNWvW4L777sPmzZtxxhlnYNmyZTjqqKN6G2Rt0qNpFLTLRMdaB8HslTTI3jD0zNlRFo31MItw+ml05smarWZBSNK3KKefqVZzMU2jUKefRmeers+HphfqZDKVahVF1l8EWp152i3vNmLZpQmnnwK8ZANvwpkna7aaRev56O/6EJOcebq9PhqdforyklViWRyzxsGHMYY//OEP+MEPfoDt27dj9913xxFHHIEHHngABx98cL3fs88+i+3bt9dfn3rqqXj11Vdx/vnnY3h4GIcffjjuvvvuJqefK664ApRSnHzyyU1JCaYCIejqZtRIo9NPHPMpVw1JP4MQUk+v1y2pYCbZhoKuRW4yUxHKlFQwPS+A64ZTrsSSJZS9yE0qakEtAXe3IjeZqQhliqYnN+jK+A5UxkamXGkiWyi7u9GmglkZG0FlfAfKA3Oh6b19r4BWodR0PTfxeBZWbUnW9ytNr3ulSSidUk+i13g+vMoYpJAgU7hMW4SS0q4z8RBKJ5x+oiroTkrrpshm1oilZVm47bbbOvbL8qRavXo1Vq9e3faz165di7Vr1/YzRADIfO7QDf0KZqNQ5qX/6kSWYPay3NOPUKZkC2b3x7So+qD9CmY/QpmSJZi9UET9wyzBzHdIayVLKKdCv4I5WSinQno+xkf/BiE4CKU9HdMsoeyVRsEsYnY53d6wf0/MmmXYXYF+v0fNcZjdXwiNQpmb0LlLprokW4RQpkx1SbbIQtrA1JdkixDKlPQG3euSbFxg/cOWJdku4zCLEsoUy5nakmwRQpmi6TpK5QFIJD9Gup0VChH3LZQpqWAWgVqGLQ4lljNMr4kL4jhuEMpilmUaBdP3vI6CyXkM1/ULEcqUZsH0m/JlZpGUPfMKLaQNNAtmNQw69q+GQWFCmdIomF6lc6YfHkdwx0YKLRTcKJju2EjHxAVSCniV0cKEMqVRMMPA69g/DLzChDKFaToYZQAk4lri93Y0OvP0K5QphFJQNmsW/hSYRcuwuwaN/pAAkJ8qPW2vpV5vakvCSibiMLWcZa9moUz6pPHSXDJIyZDUT2QgOb97JETqF9vcQDVYjgbf8+C7ldzEBTEXCLxxUKrBtO2WOMq2NurtBHnxiaatwfd8BO444JSgZdwgEqGsQAgB2ym1xFF2sjHRnn2sNEODIUOEgZ8EzueIYBhWUQ0DmFlxrTk20rB2wQGA186dhJi8skAoLCctFjwG5MRhxg1xlKYzgJgnkaHN48ix0dAOAFFGu+kM1OsvAkMtYSVAKpRJHKVTHoIktOWz2tloauei5QpihgVdiHocppkThxk2xVFa+WPIsNHYZ/Kx4lwAhIAyDYInM0YN2Y46jXGUWhpHmTUblV3Eak7arpgfQWoZtiiUWPYIaflXXtLtVEqz2ycEM5lhThbMLKGc+GyJpA6mrMVq1mrvZZAKGMlw+tAYgeWUkqQBGZl+koQDAShlsB0blGTHhLaz0amdkCTTj+/5CDy3NtucmDUmCQd8CJHMOpLJdeu+dhpDkuQ8/1iZpg4JUgspES2CmQhlBMO0YJpa5hiybSQSSms7y2s3TJpxU6K6Abs8BL8yisAdg1NujsPktcw8aRxlnkd2Oxsd2wlLMv2MJ2MoTSpYLKWA704kHMhbLuw0Bokk4QAl2T837Zona9V3QQGYkzxbQ9+tC6Wd4/XayUbeOGXt34wmq0A8jhDHVWia0ZTsXHLeFEfZPtk68v0DOrX3gRLL4lBi2RP1BFv12MB2CQWat2tF05IKBBOCOVEHckIodTTemAlJgqApkWBEIIYGhhh5+T4Swea5NRp1TQMplRC44wh8r77MyjmH74XQGIXhDEAj0ZRtJJlxWG47JRRWaQBVbxS+59eXWaWU8GsJB+zSADRGchMGdLIBoOOxMi0bhEhUgwCUTAhmKpSmZcEwbVBkx/1m20jiQRkDQChE3L6ShgEDpDyEwBuD747Vl1njKILnjkKrZebRGMu9sXWyAS4gpMxtp5LALg+i6o7Dc0fry6zJM8oxCMHh1IRyqjZkLTMPa5P4wLQcUABh6IFSWl9mDTwXYejBskvQLacvG5nHSpLEP4GQekadVDDTZdbGpOhMqyUcyNNKWas6kvvDQWYmPlCyNbtQYrmTaZ5hJrOivBnldMGY1uQla5pGrXoIgePY4DPwazN5hmnD8zy4bgjHMRGG1fozyiQd0fQnnDZNExS87iULoP6MUjfN3J9GRZLG/aVespZTrlcPKQ0M1VLYTS+EUJQGkxlmZXwHSgNzEHiV+jNKWcASYTeYdikppF7zkgVQf0apmzbEDBQKoJSB6En8YxRVoTGtLpTJzHr2ypqaWRaHcvCZBTQ6/RTtzNMtqdNPHAu4bgBKi3Pm6ZbU6YdSAtcNEMeiUGeebml0+inamadbUqefOI5QGdsBSllhzjzdkjr9UMpQGUu8ZIt05umWRqefop15uoUylmTZkbJJKGfyfEwF5Q1bHLP7TCsUCoVCMQtQYjkLaHxGWWRqvF5I4yg1jaJUsiDEzNbDBCbiKIWQKJUsaBqd0XqYKY1xlDujHiYwkXBA03SUB+dCiJmthwlMxFEKwVEenAtN0wtJjdcrjXGURabG64XGhAOapgNSIoqqM15AulfUzLI4lFjuZCbHUe6MAtJJHOVEwgFNa0xc4M+IYCZC6defUWoam5S4YGaORRiGTUuvzYkL8h17ioRPSjig60Y9DtMd6xyHWQRJ9ZCJOEpdN5oSF8xUAenQb0440BSHOUMFpJM4yomEA1TT6kuyUVSdkeemU0WJZXEoB5+emCgV0Fwro5vtWkk9YSc78zQ7/URNbWndPCEJICmS2ELaxis9CS/J+10UcYHA88AohWXbSbykTIKibYcmMz13HMSxc0MVOtkQoMmY89olQeCNQwgJx7FBKEMacmbZSXkv33VhOU5u6apONpLxtT9WYeijGlZhmiZ0w6iPQTcsCEkRBlVISWCZebGcrTaSaqQ08U0ioh7Xh7wajFEVfmUUmqbBLg1C1OpREsrglIbgVkbBK2OgbUJHOtlIwyXy8reKWj1KKThK5SEQyup97VIaCzoKuzwEA+1DR/JspPLCRVpSu5U0jtKyS9BNu/5ZumlDCIHAdyEA0DahI51sZB0rLmpltyAhhKgXbta0JNG5lBKE0ro3O4+qIO1CR2qGZJ57WO3tyT9KZ68E/32ixLJHZMa/8vulSQlaaRdHCbSPw6wVvqoJdlocOm+RIB1Ja3sSR+mBUgbLsZMbQUM7ZRSWw5JlMM/PTVzQzkan9iThgF8r3FwCZbT5yJLEwSONwySOk+Pw034MnY5VUrg5hGFaMEyj5ewapgUJimoYgMDMLCCdZSP9HJHsbL1v1myksXCzVRqs/XCZ6Edq76cFi50OBaQ7zXiy2hsTDtjlIRCmTepHYJUG64kLSLl9Aem8MciG9qxvVGPCAd1yWj5HtxwIoG3igk428saZ/psLDsFjpAkHCGlOyEEoA9NqYSVRNYm1bDcz66R+06COyhu2OJRY9kT6CzXN3JNkjcmCIC3c3BrIP/GMkta8XtslLuC1TD9xbYlWgkgJRjgYIYhhQEM1dxwcZi0GsnkZMxHKEIwxWE4ZGsl+Jsc0CpQGELpjuQWk82ykJEWTGdik+MS0cLMUElZpEGZO4WYQwC6VEXjjCDw300M2z8YENPdYTcRROjBNPXc/LCu5GVYDL6eAdJaNNM7SBghDlBMDGUcRAm8MmpYIopHjcaoxCmAoOR/eeKaHbJ6NFF6LgdQneVwnzyjHgYbCzdk3TwaUBxG4Ywi8sUwP2TwbE7YkIi6gM9piI/BcRKFXTziQGw9am1FGoQetIQ6zGxspWceKQgAyqdmazihpzhgYSW6hk+Mwm8YhOsRZ1tJyTZ6Zyh4qt+ShxLI41DPLGaY54UDn3ypF18MEmpOi247T8QJJ4jDtwuphAhPOPMkzShusQx5MQpKxFlUPM6XRmccwrY79DdMq3OmnsXrI5Kw9WTBNR2lwTmH1MIEJZx7OY5QG53SsR0kIhVMeKqweZkqjM09emrtGTMsp3OmHxxG44GiaUbaBUpb8WEidfkQB50OI2qxWMVtQYtkD/WpEs1B2HzvY7PTT34U41eohRRaQnmr1kKlWK8ljqtVDiiwgPdUyW1qBBaRbqod0Wbi56ALSU60eMtVqJVnEUQS3Mg6CJNa17XPIBihtdvrpRzClEIiiYn6IKQef4lBi2SNiihfBVIUypVEwRZdlgybTb5mtIgSz3zJbRQlmv2W2ihDMfutRTrW8VyP9ltkqSjD7LbNVhGBOnA+WZO3p8Xw0Ji6YqmDWhVLKQoo/K7EsDiWWPSIler4p9SuUKY2CWa32dlMqqh5lP4JZVD3KfgWzqHqU/QhmEYWbgf4Es6h6lP0KZlH1KPsRzOal8MGuZ5ST6UcwG4VS0w1QMrOZqxTtUWLZC7XrJ44FRNdFeoutR6lpibNCtdr9DbrIws3A1ASz6MLNUxXMIgs3A1MTzMlxlP2mTJuKYBZduHmyYHYbhxn4xRVuBiYJZpdxmK3no7/ro0Uwu7w+moSyoBSPamZZHMobtgcICAgFhJDgMYfUCFib7xbvIJR5YSXt+kgAlBLoho4gqEKHD2ay3E+KeYzA9cAYhe1YLeEhjf697UaRbDPRhzINTonAcwP4GeW9GhES8D0Xkks4JQuUscxCX5NtNLcmbU3jJAS2Y8PzAniuB6tEQduckGroIwqqMC0jMzwk00ZTe/axMkwTEiT7fEgJgELU4vbiWpktrZYUHZPCQ+p1bfJCLmrvT25nmobSwBy4YyPwKmNJCS+Zdz6S8BAIXnPm0ZrHkGOj+VhkjZMk5b3GRuFWRmGVBmveu9n7UQ08RIELyynDtJ3MOMO2xyKn3bQdSEgEXgW6kNDaiHDu+ZAASMPVl3so5MT/G4536vQTRw1hJTmzVSlkkvQAEpquJ5VOCgojUd6wxaHEsldIGlsVQ8QxwDTQjIugUSiZpuWGRLcTiIk+DTX0JIGEgKbbAIlRDXxAWplxf0l4SAWUMpi2k1m4OSG/aPJEe8YvXarBdLRkGc31YGV41ib1KL1aHGU5s3BzWxsN7RLILSAdeB4CtwI4pcxZaxJHGcDIKdzcyUbzODPiYg0NQoa550NwgPOwHkdplAZq1UOyZ4FRh7CBWLSGJIEwmA1xmHZGHKasJRxI4yglYbm2Mm007lOtBNZkjNIAeEMB6SzP2mpT4WY7dwx5NhrJ2pYZNnQh63GYRoZnbWNca+P5ELx2XcqGqrWdCjenGzRASHMcJtONlvqeQkrwmlAyTQchrG5rdifS+/tDiWWPEIgkc4qmJYLJYxBCm7KpdBtHmRQKbndDSmM1Gy4bIpOH/ySGbWkAsREFfkvcH+ccoReAMh22Y4OR7GXKJD6RgiFvCZGAQwdDlDlOpgEolRG4lZY4zDSOUggJq1SGkRdH2cEGAHAYybHPjcNMMv2EXgVOqbmAdBhWEYURDMuGbbKcMXSwgc7HKvN81JZEhWQI3fF64WYtZ5mNC5nEJ7aZkcVCQsup0agzE8AQAncMVXccpcGJUJQkhd04ZEMc5VRsAIlAUULAMmdLFLRWQDp0x1AanNPkYRv4LqIgEUrHKU3RRudjlc4oo8AFowRWQ6afOI4QNhTSbjwfXNaiqNNQatluxlXL9kOArB+9aUgUjyPwuAraUKlESgEeTwjl5PCpIp6RqZllcSix7ImJZRlKCKDptYtAgGjJc5tGZx6maWj3y3wqifLSctPpdWyYNhg4giAEgYRpGuCcw6s9ozSdEigRuem+SH1umy/YE0n9cpInMA1OyYHvJpl+HCeJV/S9AIJLOKUSKNNAchMGdLYxkWQwu50SwHZKCL1ReG5Qfy4ahlWEQQTLMsFMGwTVKdvo5li1ng8dPI7huWNgmg7TGQAl+UHy6SJw+5uWbHsT1DQdpfIQPDeZYZYH5wAA3PFRcBEnKeyY1peNeuLHnHZKKJzyIEJvHO74SP25aOC5CPxk6ZUZdl82ujlWhuWAUYLAd0FAYDmlJDxkfARM0zLPByGkduE1LvnnGJANV2ROH0oZiJYIdBRVazUwMfGMUtNBKOvuhtAjSiyLQ4lll0w8x0nDR5JLlVICIdL4x4kZYPK+aJ4VTv5MpDfe7meW6TgSJ6MYAhSUUeg6g+9XUa3yxC4hMIxEOAUEaE7h5ERGJWROu6xtLRHnigRHDALANJPnqOPjfn2slmVAypqjU982Ou+HYRjw/RCVSgBKKTjnMAwNlNFkabwAG532o/V8cFBmwjBt8JhDEIG8eHMhk+Mm2wSkx0ICPP+mxkUidKblwHfHMfK37cn4BIddGkhsRFEhNjrth2Ha8L0Kxka2g2k64rgK03DAWPI8rwgbnfZDYzp0zYTrjiIMffA4SpZec84HFzGEkCAkSUwAAKTNmqhA+1lg+hOLMgbBOaLqxI/G5Pk9gRSixYYQE8Xgp8rY2Ni09v97gsiZrMG0C/OnP/0J++yzz84ehkKh+DvjpZdewt57793TNkEQYPHixRgeHu7Z3oIFC/D888/DsjpntPp7Qolllwgh8Oc//xkDAwM7dalibGwM++yzD1566SUMDg7utHEUjdqvXY/X6r7Nlv2SUmJ8fBwLFy4Epb0/wQyCANVq7wkzDMNQQpmBWobtEkppz7/uppPBwcHX1A0qRe3Xrsdrdd9mw34NDQ1NeVvLspToFYhKSqBQKBQKRQeUWCoUCoVC0QEllrsYpmniggsugJkTI7erovZr1+O1um+v1f1S9Idy8FEoFAqFogNqZqlQKBQKRQeUWCoUCoVC0QEllgqFQqFQdECJpUKhUCgUHVBiuZOJogjnnHMODjnkEJRKJSxcuBArV67En//8547brl27Fvvuuy8sy8LSpUvxyCOPNLUHQYBVq1Zh9913R7lcxsknn4xt27ZN1660cNttt+G4447D7rvvDkIInnjiia62u/XWW3HggQfCsiwccsghuOuuu5rapZQ4//zzsddee8G2bSxfvhzPPPPMNOxBNp2O+2Rm+/4AwP3334/3v//9WLhwIQgh+NnPftZxmw0bNuBtb3sbTNPE/vvvj5tuuqmlT6/HqkguuugiHHHEERgYGMC8efNw0kknYcuWLR232xXOl2InIBU7lZGREbl8+XJ5yy23yD/84Q9y48aN8sgjj5RLlixpu926deukYRjyhhtukL///e/lWWedJefMmSO3bdtW7/PZz35W7rPPPnL9+vXy0UcflUcddZR8xzveMd27VOeHP/yh/MY3viGvu+46CUA+/vjjHbd56KGHJGNMXnLJJfKpp56SX//616Wu6/J3v/tdvc/FF18sh4aG5M9+9jP5f//3f/KEE06Qixcvlr7vT+PeJHRz3Hel/Um566675Ne+9jV52223SQDy9ttvb9v/ueeek47jyDVr1sinnnpKXnXVVZIxJu++++56n16PVdGsWLFC3njjjfLJJ5+UTzzxhHzve98rFy1aJCuVSu42u8r5Usw8SixnIY888ogEILdu3Zrb58gjj5SrVq2qv+acy4ULF8qLLrpISpmIsK7r8tZbb633efrppyUAuXHjxukbfAbPP/9812J5yimnyPe9731N7y1dulR+5jOfkVJKKYSQCxYskJdeemm9fWRkRJqmKX/6058WOu4sOh33ycz2/cmiG7H88pe/LA8++OCm90499VS5YsWK+utej9V085e//EUCkL/+9a9z++yK50sxM6hl2FnI6OgoCCGYM2dOZnu1WsXmzZuxfPny+nuUUixfvhwbN24EAGzevBlRFDX1OfDAA7Fo0aJ6n9nIxo0bm8YMACtWrKiP+fnnn8fw8HBTn6GhISxdunTa96ub4z6Z2bw//dBpv6ZyrKab0dFRAMBuu+2W2+e1er4U/aPEcpYRBAHOOeccfPSjH81N4rx9+3ZwzjF//vym9+fPn18vyTM8PAzDMFoEt7HPbGR4eLjjfqXv5fWZLro57pOZzfvTD3n7NTY2Bt/3p3SsphMhBM4++2wcffTReMtb3pLb77V6vhT9o8Ryhrn55ptRLpfrfw888EC9LYoinHLKKZBS4pprrtmJo+yddvulUOxsVq1ahSeffBLr1q3b2UNR7KKoEl0zzAknnIClS5fWX7/uda8DMCGUW7duxb333tu2NNAee+wBxliLZ+u2bduwYMECAEkB12q1ipGRkabZZWOfIsnbr15ZsGBBx/1K39trr72a+hx++OFTstkt3Rz3yczm/emHvP0aHByEbdtgjPV8rKaL1atX44477sD999/fsczea/V8KfpHzSxnmIGBAey///71P9u260L5zDPP4Fe/+hV23333tp9hGAaWLFmC9evX198TQmD9+vVYtmwZAGDJkiXQdb2pz5YtW/Diiy/W+0z3fk2FZcuWNY0ZAO655576mBcvXowFCxY09RkbG8PDDz88LfvVSDfHfTKzeX/6odN+TeVYFY2UEqtXr8btt9+Oe++9F4sXL+64zWv1fCkKYGd7GP29U61W5QknnCD33ntv+cQTT8hXXnml/heGYb3fMcccI6+66qr663Xr1knTNOVNN90kn3rqKfnpT39azpkzRw4PD9f7fPazn5WLFi2S9957r3z00UflsmXL5LJly2Zs3/7617/Kxx9/XN55550SgFy3bp18/PHH5SuvvFLvc9ppp8mvfOUr9dcPPfSQ1DRNXnbZZfLpp5+WF1xwQabr/pw5c+TPf/5z+dvf/laeeOKJMxo60u6472r7kzI+Pi4ff/xx+fjjj0sA8vLLL5ePP/543SP7K1/5ijzttNPq/dPQkS996Uvy6aeflmvXrs0MHen0HZ1OPve5z8mhoSG5YcOGpuvK87x6n131fClmHiWWO5k0rCLr77777qv3e/3rXy8vuOCCpm2vuuoquWjRImkYhjzyyCPlpk2bmtp935f//M//LOfOnSsdx5Ef+MAHmoRqurnxxhsz96txP9797nfLT3ziE03b/ed//qc84IADpGEY8uCDD5Z33nlnU7sQQp533nly/vz50jRNeeyxx8otW7bMwB4ltDvuu+L+SCnlfffdl3mu0n35xCc+Id/97ne3bHP44YdLwzDkfvvtJ2+88caWz+30HZ1O8q6rxnHuqudLMfOoEl0KhUKhUHRAPbNUKBQKhaIDSiwVCoVCoeiAEkuFQqFQKDqgxFKhUCgUig4osVQoFAqFogNKLBUKhUKh6IASS4VCoVAoOqDEUqFQKBSKDiixVCgK4Prrr8dxxx037XbuvvtuHH744RBCTLsthUIxgRJLhaJPgiDAeeedhwsuuGDabR1//PHQdR0333zztNtSKBQTKLFUKPrkv/7rvzA4OIijjz56Ruydfvrp+N73vjcjthQKRYISS4WixquvvooFCxbgu9/9bv293/zmNzAMo6VsUyPr1q3D+9///qb33vOe9+Dss89ueu+kk07C6aefXn+977774tvf/jZWrlyJcrmM17/+9fjFL36BV199FSeeeCLK5TIOPfRQPProo02f8/73vx+PPvoonn322anvrEKh6AkllgpFjT333BM33HADLrzwQjz66KMYHx/HaaedhtWrV+PYY4/N3e7BBx/E29/+9inZvOKKK3D00Ufj8ccfx/ve9z6cdtppWLlyJT7+8Y/jsccewxve8AasXLkSjfUOFi1ahPnz5+OBBx6Ykk2FQtE7SiwVigbe+9734qyzzsLHPvYxfPazn0WpVMJFF12U239kZASjo6NYuHDhlO195jOfwRvf+Eacf/75GBsbwxFHHIEPf/jDOOCAA3DOOefg6aefxrZt25q2W7hwIbZu3TolmwqFoneUWCoUk7jssssQxzFuvfVW3HzzzTBNM7ev7/sAAMuypmTr0EMPrf97/vz5AIBDDjmk5b2//OUvTdvZtg3P86ZkU6FQ9I4SS4ViEs8++yz+/Oc/QwiBF154oW3f3XffHYQQ7Nixo+Pncs5b3tN1vf5vQkjue5NDRf72t79hzz337GhToVAUgxJLhaKBarWKj3/84zj11FPxrW99C5/61KdaZnWNGIaBgw46CE899VRL2+Sl0+eee66QMQZBgGeffRZvfetbC/k8hULRGSWWCkUDX/va1zA6Oorvfe97OOecc3DAAQfgk5/8ZNttVqxYgQcffLDl/Z///Oe47bbb8Oyzz+I73/kOnnrqKWzduhUvv/xyX2PctGkTTNPEsmXL+vochULRPUosFYoaGzZswJVXXokf/ehHGBwcBKUUP/rRj/DAAw/gmmuuyd3uzDPPxF133YXR0dGm99/3vvfhkksuwUEHHYT7778fV199NR555BH86Ec/6mucP/3pT/Gxj30MjuP09TkKhaJ7iGz0SVcoFFPiwx/+MN72trfh3HPPBZDEWR5++OG48sorC7Wzfft2vOlNb8Kjjz6KxYsXF/rZCoUiHzWzVCgK4NJLL0W5XJ52Oy+88AKuvvpqJZQKxQyjZpYKxTQwXTNLhUKxc1BiqVAoFApFB9QyrEKhUCgUHVBiqVAoFApFB5RYKhQKhULRASWWCoVCoVB0QImlQqFQKBQdUGKpUCgUCkUHlFgqFAqFQtEBJZYKhUKhUHTg/wO+qeA8hOGrHwAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sim = make_sim(ds[5])\n",
    "sim.plot_eps(z=0, freq=freq0)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2bcceaf9",
   "metadata": {},
   "source": [
    "Since we are going to run the mode solving multiple times for waveguides with different geometries, we define another helper function `solve_mode` to run the mode solver and return the result data. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "415512cc",
   "metadata": {},
   "outputs": [],
   "source": [
    "def solve_mode(d):\n",
    "    sim = make_sim(d)  # define a simulation\n",
    "\n",
    "    mode_spec = td.ModeSpec(num_modes=1, target_neff=n_H)\n",
    "\n",
    "    # define a mode solver\n",
    "    mode_solver = ModeSolver(\n",
    "        simulation=sim,\n",
    "        plane=td.Box(size=(td.inf, td.inf, 0)),\n",
    "        mode_spec=mode_spec,\n",
    "        freqs=[freq0],\n",
    "    )\n",
    "\n",
    "    # run the mode solver\n",
    "    mode_data = run_mode_solver(mode_solver, verbose=False)\n",
    "\n",
    "    return mode_data"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b0b88ee2",
   "metadata": {},
   "source": [
    "Now we are ready to run the mode solving and plot the mode intensity profiles. We will do this in a for loop and solve for the modes of different waveguide geometries. The mode solving results will be stored in a dictionary `results_1` and the effective indices will be stored in an array `n_eff_1`. \n",
    "\n",
    "At `d=0 nm`, the waveguide is just a regular strip waveguide. With increasing `d`, the medium-index core layer is getting thicker. We can see that the mode is primarily confined inside the core with a rather uniform field in the vertical direction."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "f47196bc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x400 with 12 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(2, 3, figsize=(8, 4), tight_layout=True)\n",
    "\n",
    "# containers for the effective indices and mode solving results\n",
    "n_eff_1 = np.zeros(len(ds))\n",
    "results_1 = {}\n",
    "\n",
    "for i, d in enumerate(ds):\n",
    "    # solve for the mode\n",
    "    mode_data = solve_mode(d)\n",
    "\n",
    "    # add result to the dictionary\n",
    "    results_1[f\"d={round(d * 1e3)} nm\"] = mode_data\n",
    "\n",
    "    # plot mode intensity profile\n",
    "    row = i // 3\n",
    "    col = i % 3\n",
    "    mode_data.intensity.plot(x=\"x\", y=\"y\", cmap=\"hot\", ax=ax[row][col])\n",
    "    ax[row][col].set_title(f\"d={round(d * 1e3)} nm\")\n",
    "    ax[row][col].set_xlim(-W, W)\n",
    "    ax[row][col].set_ylim(-1, 1)\n",
    "    n_eff_1[i] = mode_data.n_eff.values[0][0]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6497adc2",
   "metadata": {},
   "source": [
    "To quantitively study the mode properties, let's first plot the effective index of the mode as a function of core thickness. We observe that the effective index is nearly constant regardless of the core layer thickness, which confirms the scale-invariant nature of this waveguide design. For more discussions on the mechanism and mathematical details, please refer to the [original publication](https://doi.org/10.1038/s41467-023-42234-1)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "83779246",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(ds, n_eff_1)\n",
    "plt.scatter(ds, n_eff_1)\n",
    "plt.ylim(n_L, n_H)\n",
    "plt.title(\"Effective index\")\n",
    "plt.xlabel(r\"d ($\\mu m$)\")\n",
    "plt.ylabel(\"$n_{eff}$\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c4e171d9",
   "metadata": {},
   "source": [
    "Finally we can investigate the mode profile at `x=0`. We observe a nearly constant field intensity inside the core, which is very distinctive from regular waveguides."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "17399b00",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x400 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(2, 3, figsize=(8, 4), tight_layout=True)\n",
    "\n",
    "for i, d in enumerate(ds):\n",
    "    # normalize the intensity profile at x=0\n",
    "    int_raw = results_1[f\"d={round(d * 1e3)} nm\"].intensity.sel(x=0, method=\"nearest\")\n",
    "    int_max = np.max(int_raw)\n",
    "    int_norm = int_raw / int_max\n",
    "\n",
    "    # plotting\n",
    "    row = i // 3\n",
    "    col = i % 3\n",
    "    int_norm.plot(ax=ax[row][col])\n",
    "    ax[row][col].set_xlim(-1.5 * W, 1.5 * W)\n",
    "    ax[row][col].set_title(f\"d={round(d * 1e3)} nm\")\n",
    "    ax[row][col].set_ylabel(\"$|E|^2$\")\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "79d0ae16",
   "metadata": {},
   "source": [
    "## Modes of the Strip Waveguide"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0fe77f07",
   "metadata": {},
   "source": [
    "As a comparison, we will perform the same mode analysis for the regular strip waveguide. This time, we demonstrate the use of Tidy3D's [waveguide plugin](https://www.flexcompute.com/tidy3d/examples/notebooks/WaveguidePluginDemonstration/), which is a convenient tool for mode analysis on simple waveguides.\n",
    "\n",
    "First, we solve for the modes and plot their intensity profiles. Here the waveguide thickness is kept the same as the scale-invariant waveguide we showed previously. Note that the waveguide created in the [waveguide plugin](https://www.flexcompute.com/tidy3d/examples/notebooks/WaveguidePluginDemonstration/) is not centered at the origin. Instead, the lower surface of the waveguide is at the $z=0$ plane. As a result, we need to adjust our `ylim` in plotting to ensure the waveguide is centered in our plots. In addition, the [waveguide plugin](https://www.flexcompute.com/tidy3d/examples/notebooks/WaveguidePluginDemonstration/) uses the $yz$ plane for the waveguide cross section while our previous analysis uses the $xy$ plane. This choice is arbitrary but we need to keep that in mind when plotting."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "d055962a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x400 with 12 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Ts = 2 * t + ds  # total thickness of the waveguide\n",
    "fig, ax = plt.subplots(2, 3, figsize=(8, 4), tight_layout=True)\n",
    "\n",
    "n_eff_2 = np.zeros(len(Ts))\n",
    "results_2 = {}\n",
    "\n",
    "for i, T in enumerate(Ts):\n",
    "    strip = waveguide.RectangularDielectric(\n",
    "        wavelength=lda0,\n",
    "        core_width=W,\n",
    "        core_thickness=T,\n",
    "        core_medium=mat_H,\n",
    "        clad_medium=mat_L,\n",
    "        mode_spec=td.ModeSpec(num_modes=1, target_neff=n_H),\n",
    "        grid_resolution=20,\n",
    "    )\n",
    "\n",
    "    mode_data = run_mode_solver(strip.mode_solver, verbose=False)\n",
    "    results_2[f\"d={round(ds[i] * 1e3)} nm\"] = mode_data\n",
    "\n",
    "    row = i // 3\n",
    "    col = i % 3\n",
    "    mode_data.intensity.plot(x=\"y\", y=\"z\", cmap=\"hot\", ax=ax[row][col])\n",
    "    ax[row][col].set_title(f\"d={round(ds[i] * 1e3)} nm\")\n",
    "    ax[row][col].set_xlim(-W, W)\n",
    "    ax[row][col].set_ylim(-1 + T / 2, 1 + T / 2)\n",
    "    n_eff_2[i] = mode_data.n_eff.values[0][0]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9023059e",
   "metadata": {},
   "source": [
    "After running the mode solving for the strip waveguide, we can plot the effective indices for both the strip waveguide and the scale-invariant waveguide. Very distinctively, the regular waveguide shows a strong dispersion when the waveguide geometry is changed, while the scale-invariant waveguide does not."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "a97d653e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(ds, n_eff_1, label=\"Scale invariant waveguide\")\n",
    "plt.scatter(ds, n_eff_1)\n",
    "\n",
    "plt.plot(ds, n_eff_2, label=\"Regular waveguide\")\n",
    "plt.scatter(ds, n_eff_2)\n",
    "\n",
    "plt.ylim(n_L, n_H)\n",
    "plt.title(\"Effective index\")\n",
    "plt.xlabel(r\"d ($\\mu m$)\")\n",
    "plt.ylabel(\"$n_{eff}$\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a2449ea1",
   "metadata": {},
   "source": [
    "Lastly, plot the intensity profiles of the strip waveguide modes. The profile closely follows a Gaussian-like shape besides the small discontinuity at the material interface due to the boundary condition. \n",
    "\n",
    "As discussed, the [waveguide plugin](https://www.flexcompute.com/tidy3d/examples/notebooks/WaveguidePluginDemonstration/) uses the $yz$ plane for the waveguide cross section while our previous analysis uses the $xy$ plane. Therefore, to take the same profile, we will select `y=0` instead of `x=0` while they physically correspond to the same axis with respect to the waveguide. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "9011793a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x400 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(2, 3, figsize=(8, 4), tight_layout=True)\n",
    "\n",
    "for i, d in enumerate(ds):\n",
    "    int_raw = results_2[f\"d={round(d * 1e3)} nm\"].intensity.sel(y=0, method=\"nearest\")\n",
    "    int_max = np.max(int_raw)\n",
    "    int_norm = int_raw / int_max\n",
    "\n",
    "    row = i // 3\n",
    "    col = i % 3\n",
    "\n",
    "    int_norm.plot(ax=ax[row][col])\n",
    "    ax[row][col].set_xlim(-1.5 * W + t + d / 2, 1.5 * W + t + d / 2)\n",
    "    ax[row][col].set_title(f\"d={round(d * 1e3)} nm\")\n",
    "    ax[row][col].set_ylabel(\"$|E|^2$\")\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "c80a6f0f",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "applications": [
   "Passive photonic integrated circuit components"
  ],
  "description": "This notebook demonstrates how to perform mode solving for the scale-invariant waveguides as well as strip waveguides.",
  "feature_image": "./img/scale_invariant_waveguide.png",
  "features": [
   "Mode analysis"
  ],
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "keywords": "waveguide, mode solver, scale-invariant, Tidy3D, FDTD",
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.2"
  },
  "title": "Dielectric Scale-invariant Waveguide in Tidy3D | Flexcompute"
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
