{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "3526b9ea",
   "metadata": {},
   "source": [
    "# ECE 606 Lecture 4.1: Classical systems: particles, propagating waves and standing waves\n",
    "\n",
    "*From* [Nanoelectronic Modeling — From Atoms to Devices](https://nanohub.org/resources/45001), *Gerhard Klimeck, Purdue University. Lecture page:* [nanoHUB resource 37100](https://nanohub.org/resources/37100) — [video](https://nanohub.org/resources/37846) · [slides](https://nanohub.org/resources/37845) · [YouTube](https://youtube.com/watch?v=89BqWI__KO4)\n",
    "\n",
    "**In this lecture**\n",
    "\n",
    "- why quantum mechanics is needed: the density $n$ of electrons that carry current is not the number of atoms per volume times the electrons per atom; all electrons are created equal, but they do not behave identically\n",
    "- classical particles: finite extent and weight, countable, moving by Newton's laws, exchanging energy and momentum continuously (billiard balls)\n",
    "- propagating waves: infinite extent, continuous wavelengths and frequencies, superposition and interference, Huygens' principle and diffraction; the double slit as the accepted proof that light is a wave\n",
    "- standing waves: confined to a length $L$, with discrete wavelengths and quantized wave numbers $k_j = j\\pi/L$; resonators exchange energy only when they are in tune\n",
    "- white light as a spectrum of frequencies, separated by a prism\n",
    "\n",
    "**In this notebook** follows the lecture's classical catalogue with small calculations: energy transfer in an elastic collision, a Huygens-principle double slit summed point by point and compared with the Fraunhofer formula, the open-nemo wave equation of a uniform wire (continuous transmission) against the same equation in a closed box (discrete $k_j = j\\pi/L$), energy exchange between two coupled resonators as a function of detuning, and the dispersion of a glass prism."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "b531ab06",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:52:56.599589Z",
     "iopub.status.busy": "2026-10-24T22:52:56.599393Z",
     "iopub.status.idle": "2026-10-24T22:52:57.066151Z",
     "shell.execute_reply": "2026-10-24T22:52:57.065748Z"
    }
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import opennemo as nemo\n",
    "from opennemo.visualization import style\n",
    "\n",
    "style.use(notebook=True)\n",
    "from opennemo.core.units import HBAR2_2M0"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ceb7a133",
   "metadata": {},
   "source": [
    "## 1. Why quantum mechanics?\n",
    "\n",
    "Section 4 of the course opens with the current again, $I = q\\,n\\,v\\,A$, and with the observation\n",
    "from Lecture 2.1: the density $n$ of electrons available for conduction is not the number of atoms\n",
    "per volume (from the crystal structure) times the number of electrons per atom,\n",
    "\n",
    "$$n \\neq N \\times \\rho .$$\n",
    "\n",
    "\"All electrons may be created equally, but they do not behave identically\": some are bound to their\n",
    "atoms, some move freely. To understand which, Klimeck first collects what classical physics knows\n",
    "about particles and waves, so that the experiments of Lecture 4.2 can show where it fails.\n",
    "\n",
    "## 2. Classical particles\n",
    "\n",
    "A classical particle (a billiard ball) has a finite extent and a finite weight, both continuous if\n",
    "the atomic granularity is ignored, and particles are countable with integers. They move according to\n",
    "Newton's laws, and in collisions they exchange energy and momentum continuously, subject only to the\n",
    "conservation of both. For a head-on elastic collision of a ball of mass $m_1$ and speed $v_1$ with a\n",
    "ball of mass $m_2$ at rest, momentum and energy conservation give\n",
    "\n",
    "$$v_1' = \\frac{m_1 - m_2}{m_1 + m_2}\\,v_1, \\qquad v_2' = \\frac{2m_1}{m_1 + m_2}\\,v_1, \\qquad\n",
    "\\frac{E_2'}{E_1} = \\frac{4\\,m_1 m_2}{(m_1 + m_2)^2}.$$\n",
    "\n",
    "The fraction of energy handed over varies continuously with the mass ratio and reaches 1 only for\n",
    "equal masses. The cell checks the formula by solving the two conservation laws directly."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "2960da11",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:52:57.067633Z",
     "iopub.status.busy": "2026-10-24T22:52:57.067510Z",
     "iopub.status.idle": "2026-10-24T22:52:57.243324Z",
     "shell.execute_reply": "2026-10-24T22:52:57.242896Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "largest difference to 4 m1 m2/(m1+m2)^2: 2.2e-16\n",
      "m2/m1 =   0.1: fraction of the energy transferred 0.331\n",
      "m2/m1 =   1.0: fraction of the energy transferred 1.000\n",
      "m2/m1 =  10.0: fraction of the energy transferred 0.331\n"
     ]
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 660x385 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def collide(m1, m2, v1):\n",
    "    \"\"\"Head-on elastic collision with ball 2 at rest: solve momentum and energy conservation.\"\"\"\n",
    "    # momentum: m1 v1 = m1 a + m2 b; energy: m1 v1^2 = m1 a^2 + m2 b^2 -> quadratic in b, nontrivial root\n",
    "    b = 2 * m1 * v1 / (m1 + m2)\n",
    "    a = v1 - m2 * b / m1\n",
    "    assert np.isclose(m1 * v1**2, m1 * a**2 + m2 * b**2)\n",
    "    return a, b\n",
    "\n",
    "\n",
    "ratio = np.logspace(-2, 2, 201)  # m2 / m1\n",
    "transfer = np.array([0.5 * r * collide(1.0, r, 1.0)[1] ** 2 / 0.5 for r in ratio])\n",
    "print(f\"largest difference to 4 m1 m2/(m1+m2)^2: {np.max(abs(transfer - 4 * ratio / (1 + ratio) ** 2)):.1e}\")\n",
    "for r in (0.1, 1.0, 10.0):\n",
    "    print(f\"m2/m1 = {r:5.1f}: fraction of the energy transferred {4 * r / (1 + r) ** 2:.3f}\")\n",
    "fig, ax = plt.subplots(figsize=(6, 3.5))\n",
    "ax.semilogx(ratio, transfer, color=style.OPEN_NEMO)\n",
    "ax.set(\n",
    "    xlabel=\"mass ratio m₂/m₁\",\n",
    "    ylabel=\"energy fraction E₂′/E₁\",\n",
    "    title=\"elastic collision: continuous energy transfer\",\n",
    ")\n",
    "fig.tight_layout();"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6a74edb3",
   "metadata": {},
   "source": [
    "A light ball ($m_2/m_1 = 0.1$) and a heavy ball ($m_2/m_1 = 10$) both take 0.331 of the energy; equal\n",
    "balls take all of it. Keep the shape of $4m_1m_2/(m_1+m_2)^2$ in mind: the transmission of a quantum\n",
    "wave over a potential step in Lecture 5 has exactly the same form, with wave numbers in place of\n",
    "masses.\n",
    "\n",
    "## 3. Propagating waves\n",
    "\n",
    "A propagating plane wave obeys the wave equation\n",
    "\n",
    "$$\\frac{\\partial^2 u}{\\partial t^2} - c^2 \\frac{\\partial^2 u}{\\partial x^2} = 0,$$\n",
    "\n",
    "with the solution $u = u_0 \\sin(kx - \\omega t)$ and the phase velocity $c = \\omega/k = \\lambda f$. A\n",
    "plane wave has infinite extent and a definite wavelength and frequency, and both can take any value:\n",
    "they are continuous and the waves are not countable. Waves interact by **coherent superposition**:\n",
    "two waves add up, constructively or destructively, so that one wave can cancel another. Klimeck's\n",
    "examples are noise-cancelling headsets and the muffler of a car, which sends part of the sound along\n",
    "a path half a wavelength longer so that it interferes destructively with itself.\n",
    "\n",
    "**Huygens' principle** states that every point of a wavefront acts as a source of a circular wave,\n",
    "and the superposition of these circular waves builds the next wavefront. It explains diffraction:\n",
    "waves go around corners. The double-slit experiment, in which light behind two slits forms bright and\n",
    "dark fringes, is the accepted proof that light is an electromagnetic wave.\n",
    "\n",
    "![Slide 9: double-slit pattern and electromagnetic wave](attachment:slide_009_crop.png)\n",
    "\n",
    "*Slide 9: the double-slit experiment (top) and an electromagnetic wave with its electric and magnetic fields (bottom).*\n",
    "\n",
    "The cell applies Huygens' principle literally. Two slits of width $a = 10$ µm, $d = 50$ µm apart,\n",
    "are lit by red light, $\\lambda = 633$ nm. Each slit is replaced by 200 point sources, and the\n",
    "circular waves $e^{ikr}/\\sqrt{r}$ of all 400 sources are summed on a screen $D = 1$ m away. Far from\n",
    "the slits the sum must reproduce the Fraunhofer formula\n",
    "\n",
    "$$I(\\theta) \\propto \\cos^2\\!\\left(\\frac{\\pi d \\sin\\theta}{\\lambda}\\right)\n",
    "\\left[\\frac{\\sin(\\pi a \\sin\\theta/\\lambda)}{\\pi a \\sin\\theta/\\lambda}\\right]^2,$$\n",
    "\n",
    "with fringes $\\lambda D/d$ apart under an envelope whose first zero is at $\\lambda D/a$."
   ],
   "attachments": {
    "slide_009_crop.png": {
     "image/png": 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"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "0913a34c",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:52:57.244381Z",
     "iopub.status.busy": "2026-10-24T22:52:57.244306Z",
     "iopub.status.idle": "2026-10-24T22:52:57.363764Z",
     "shell.execute_reply": "2026-10-24T22:52:57.363421Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "dark-fringe spacing: Huygens sum 12.67 mm, λD/d = 12.66 mm\n",
      "envelope zero λD/a = 63.3 mm; largest difference Huygens − Fraunhofer 0.0043\n"
     ]
    },
    {
     "data": {
      "image/png": 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EQRAEQRBuZ1Tdetst6NW7V4u3z8rKxr49+7D0jqXw8rI61G657WYeNrj2r3UObClBEARBEARBtJw1a9Zg5NDR6N61Z4tTXIgrC7cVqjh18hSf9ujZvXqZWCxGbFwsTp867cKWEQRBEFcCWRnZ2LV9D3Zt28O/F1wsxuePL8O2Fbux8ufVWLt6PdLTMurl+RKEu7J71x6MGDKq3vIF1y3Ej9//6JI2dQbKysrwwYfv4+NPP8T+I3vh6enZ6LYfvf8RN7x2bNtRa/m+vfswY8pM9Os5ADcvvgV5uXmtWm8vNm3YhMULbmzRtuvWrm/xtp0BtzWqNGoNnyoUilrL/fz8oFarG93PaDBCWaKs/qhKVQ5vK0EQBOGesDfGZ0+dwz/rtyA7M6fWOmYw7d6+F4cOHIGmSIdHbnwCLy97Dnv+2YcL5y/i5LHTKC2p/TfkwN5D+OS9z/H7TytRVVXl5KshiKapKC+HQW+ot9xoNKKsrJy6z0EUFxXzae8+vZvUC0hLTcOa1X9DIBCgvIY3S6lU4tYlt2HO3DlYvW4V/Pz9cc9d97V4vT0Ze9VYfP7lZy1+3tizRThZqKK1+Ph486nJZIK3t3WewW6et7dPo/uxN4t//PxnveVZqXnQlLiHemBlRSXSz2W5uhmdAupr6ucrCXqem4cZOl26dLncZ5WV+PvP9dy40muMKDdd9jSZ9Rb+Rpl9fnzzd+xM34xoaTxi5Qmo0pTBN0jE96n5e512IQN6vQFFhSXIOJ9d67ypqakICwvjURUEPc+uID+nCBV1xhjsd8NssqCksJQv//PPVThx8iSeePyJ6m0mT5mMH3/4EVKpFDctuQn/fuzf6NmzJ19nMBqwcOEN+OjDjxEeHo5ffvkFv/3+G3y8vTF37lz875NP8N2y7/hLb8b+/fvx9TdfIS8vD0ldk3D//Q/w/xdbt27Fmr9WIy4uHlu3buGGxV13/gtDhw7l+zEhs3fefRtnzpxFSEgw7rj9DvTr17/eNTa2XVPXJZfL+flXr/6TX8OevXshEgrx0EMP4eLFVPz084/8//DSW5diwoTGxdDWrVuLn37+mb/c79u3L+69515oNBrcdvtSPl5NSeiBfv364tVXXmtw/4cfehRLb7kNL/3nJRTkFFXfp1WrViE4MBjjRo1Hmb4SNy66CXPmzMHWDdsRExPb7Pq68GtdsxrR0dHYsWMH5DIZ7r77HvTp06fJa2H9tGv3Lvz226948423mrxnxcXFeODeh1BeXs6v29PTE2tWr2nx/WqqDU0+oxIpvvn8O96u2JhYbN+xHdOmTsOCBTfg559/wvoN6/lv9MyZM7HwhoXW/wOVlfjp55/4+ZiS+PBhw3HXXf/i13P48CF8+tmnKCgoQLdu3fDA/Q8iODgYLSU2Kcr9jarIyEg+Ze5NabK0enl+Xj5Gj63v2rYxefpEjBl/eT3zVL3wxCuIig+Df4A/3AH2n6jmTSCorzs69ExTP7sarUaLo4eO49SJM1i4ZB58JZffFkccDENBfiFkfpJav73RiREYP3UsykzlWDjqZlSiEoun3wRthgnnt19A/2F9MfJh64DPhqXChIAgP4h9xbWOxUIJjxw+yj/XLpiN2LgYJ115x6Uj/W5YDBYUZShd2oagGH/4iBt/qczIzs+Ap6dHrX5l/SwQ+iAg2I8vl/lL4S3wqrWNyWREVEI4/P39MWPWNOzYvQ3T50zh63768WeeejF87BBs/mcLvv9hBT7+7CNEREbguaeeg16vQ0RcGIKDg3Di+Am89PKLePvdt9CnX2/88tOveOGl5/HX+tXwOy3Hvn37MGnqRDzyxINY9/d6vP7Gf6vD5T74+H3Exsfi/f+9i4KCQnz71be4Zt6setfY2HbNXdex03LsP7Afz7/0HJ564Ul89X9f4elnn8bVE6/G73/+imPHjnMxtPk3Xg+JRFLvvDu378THn3zMz5+QGI9XXnoNb737Jr757iv8+fdKzJgyGweP7YOnpxeEQkG9/VlfRMZEYM78WXjltZcREhFU3dYSVRH6Dexbo+1RiIqOhNao4cuaW18Xfq3792HYiCFY9dfv2LhhE556+kls370Vfv5+jV7Lt8u/xtlUP6BLFT/usSbuWUzXSPz3zdew7JvvsOz7b/jLrIZeKDV2v5pqQ1P3UlOsh1+wtV1jx4/Bv595lL8M+PyTz7Fh0wa88c7rCA0LwXffLkelZxniE+Lx2SefY+u2Lfjgk/fh7+eHF557ET/8vALPvfgs5i+Yh0f+/TDGjR+LY0eOYc/+XbjvwXvRFtzKqDq4/yD/Q5jSLQW9+/bmoX/r125AUnISX3/40BHk5+djzNgxjR5DJBbxD0EQBNF5YCFPe3ft5/OpF9PRq0+P6nXTrpkKkUhYy4PF8PCwRsCnH87GBeUZhPlGYPJN47H55x14f9fvKDYX4CbjfPiILkdLJHXryj91ycnO5VMmrBQREV5rXalSBT//2qHsRMeCGVQrHlnp0jbc8OYsRHQLbXa70tJSnrNjo7KyChaLGXOvv7ZF57lu3lzMnDYbz7/4HIQiITcG5lw7m69b+ftKLLzxBgwZOph/f/q5p7Bp4z/V+7IB9sLFN2DCxPH8+11334nvl/+As2fO8u8p3ZK5cBlj0Y0L8fKLr/BxXUREBPcUMcXnoKAg/nn9rf822L6WbtcQ7PxLbrmJz9+wcAH+9+EneOa5p6DwUyA0LBQKhRzpaeno2ety/9lg/XDDogUYPcb64v4/r7yI/r0HorCgEEKRddzZWOgfC997/90P8MvvPzW4XqvVQS6X1VrGDAWdTtei9Q0RGhqKBx6+n//OsXvyx29/YP269Zi3YF6j11KQX9BgnzV2zwQCH3h4dGky5LGqkfvVmjY0RGxsDP51z13V37/7dgVeef1lDBho9YL9+4nHqtd989W3eP3N19Czp/XvwtPPPoXZ0+dwo6oKVYiLj0NAQADGjR/HP23FaUbVhfMXkJ2dg5MnTvLvO7bv5G63Xr178gthPP3ks+jeozveevcNHvL37ycfw3NPPw8PTw8EBgXig3c/xOSpk6o7jCAIguh8mM1mnD97ET16das2lIJDgxEUHMhfzLGBUU3EzbxoO/zPUWjLtOgV3h8R3UPRbVgyQr4Px8XSc8g+mYf4gdHNtmnoiMFI7paE4sJieF8KX2ewOotff7YMYRGhGDdhNELCQtp83QTRElgYHitFYyPjQjaeePLfLe48NsBMSUnGurXr0K9/Pxw5fASfffEJX5efV4CRo0ZWbxsVHVWvvujK31dxLwGqqtg/GAwG5OZYXzrYxns2hEIhjEYTn//3E4/itZf/i2mTZiA5OQkLb1zY4Hivpds1RM3zC4RC7iFjBlXNZY3lCOXl5WPo8CHV35nHh738Z8sDAmtfV11eeelV3HTzjQgOaTisjP1GsbC0mui02monQXPrG4J5smwvjhgxsTG8rc1dS12aumct4d+N3K/WtKEhwmu8vGLh3czQS+yaWG87to49f3csvQtdPLrw55K9aGD9aTKZ8dEnH+Ddt97lhitr1213LOUGtlsbVbt37saGDZv4/Oixo7F82Qo+/9AjD1bfsIGDBvD4TxsLFs7n8ZescPDRI0dx861LsPimRc5qMkEQBOFmMLGJlb+uhslo4m9uo2KsoeLMuLphybzqEhytQZ1mxK0970PXEbH8JV5AjAKxfgnYm7MdJ3aeaZFRxWDeqLoeqZPHT/N4/pysXHSpMcAhOhYs9I55ilzdhpZS03MgFonRpcvlZ8/HxwcWi6X6e0OCXtfNv457Ei5eSMW4q8ZWGx7MeCjIvzzoza/jVQgJCcHd9/6Ll8CpOxBfs/qvJtscEhqCdz54m3s29u/bjyWLlmDT1o31DJHGtmvJdbUH9tIm55JxyGBeIpYLxMIeK5pRBT108DDW/PkX3nr9bf6dGW53LL0Td9x1Ox8HM2Pg919/r96e5Wnl5uaha1erV7y59Q1R996wdBpmJDd3LSy3qKXU9f43RGP3q6k2tORe1jw3M46Z84UZ9VFR1r8Jddf977OP0K17t1rrWJjmwEEDsez7b/n5vv7yGy4IsmZdfW2GluC0X/jFSxbzOMm6n779LifNvfTKi7jtzqW19rtqwlV494N38OkXn+CWpTfXEq0gCIIgOheBwYHVqnupF9JqrWuLQaVXGaHO18DLwwvxfax5UB5eHujdszef37Nzb7va27tfL4wcOxzde6YgOCSoejm7BpbnRXQMWC4TC71z5ae5fKqW0jUpEQf2HeDRQ+xN/Zuvv1Vvm+kzpuHIkaNYsfx7XHPtNdXLJ0+ZxF+Kp15M5YbBW/99q54x9t2y5Th39jzPryktVXEvDfNWNQcLK2Mv0Nn/jYCAQK5W2NB+jW3XkutqD9OmT60OZWTHf/U/r6Fvv761PCaNwQbpB47u47lI7BMQ4I/3P3oP99x3N18/ZepknD1zDqtXreHHfu/t9xGfEIfuPbq1aH1DMANj2dfLuJDExvWbcPDAIYyfcFW7r6Um/gEB3LPEogcao7H71VQb2nIvr71uDv77yn/5dbOXbl/939fISLeWxLh+3nV45813oVapuYF/8cJFvP3GO7wdTzz2JD8PM+TYywOVqu3GuFvlVBEEQRBETTLTs3jonO2FGnuzOH7iWC4UER3bfpGDvLMF+CfzL4T5RmFxypzq5YOHD8IX67rg7MXTqCivgKdX43VnmoK1d8jwQfWWp11Mx+8/rUJCUjwmTL4KkhrCGgThSNib+WkzpmL8mAk8L+f2O2+rtw0ziNhAnuW1X1Ujx2T6zGk4ceIEZk6dzVM4WH4V8xgwJUDG8BHD8OQzT+Dh+x/mA1XmpbjzX3c0KPxQF2awPf/Mizh58iRkUikeeewhLpDR0u3Yp7nrag+Tp07mSoE3XL8IOr0O/fv3x3sfvtOifUWXcq6q6dKF9x8byDNYP73/8Xt49snncN/d93OPyoeffFi9eXPrG4J5pfbs2YdXX/4vJFIJ3n7vzeqwtvZcS01YuBwTgujVrQ+/nuOnj7bqfjXWhpY8o3V54KEHYDaZMWPKLFRUlOO6eddxMRXG/Q/dh3ffeo/nCjIvH+u/p599kj/nffr2wfy5C3guV3RMNM+9aitdqq7wQhusVtWDdz6Gdz55ndT/OiEdSV2qI0P9TP1sb8osZVwK/fzZCxg2cgiGj66twmcv1n6yGXe+dCsGh4/A97u/5sYTe57LSsrxyRNfw18YiNv+dwOC45rOmWgtPyz7mYcEslyJm++4kQsCdDbod8P+sPwR5jWoqcLG+jk0Kghe3l61vLksLNWWc8PyS+qKDfz7kcf5y4z/vPpSvfPY9mXhgdMnz8DJc8dr5e/Y2lKzCC7zmJSXV9RSxmOeAmZw1AzlqrtfU9fa0HaNXVfd87PhL/O21ewr9p0ZB3Wvpblzs2OdOXYe3fpYhdWag52HGVQNtZ8VEm4qKqu59QyWNvPjih+x/MfvavVHS66FfWe/v+w3qTX3zFznuWvuPG29l+x5jowPq9euxvZr6bla+tw1BQV4EwRBEG4HGwCyEA7G8aMn+R93R3Ds0HE+7RqfXMsbFZIYhFDfcPh4+qDwgrWwpz2ZNXcG+g/qi7ETRndKg4pwDGxQ2NDAlj1jdcNjaw466xpUTNHur9V/Yf7C+fWOxfKCWP5LqbIUr/7nVZ6m0dAAtu4AlZ2/7iCYtbVuXk5LB7aNbdfYddU9f0MS4MxYaM6gaujc7Fj1vFFNwLZtrP3NGUytTYNp7nrqtoN9t/0mteaeiZupz9fUfW3vvWxqv5aeq70GFT9vu49AEARBEHagZuAE+6N91cQx6DugD25aurBN+VItITUtlU9Tutd+wywN9IXZ24BDBXtx4Zh1G3vCJN7HXT0G3Xqm1Fq+Z+c+bNm03WFGJEE0xycff4oRQ0bxXCqbBHVNmMLmVaPGY/jgkVx85aVXXqBOJQjKqSIIgiDcwZg6dvg4MtKyMGPO1Oq3oEyUYvyksQ47r8VUhpzCbHh28URSr9oqWqwNFTILdudtQY9j3TEb1kKojoQJV+zevpeHrhgNRkyZMdHh5ySIurCaREwYzJbvUxeWI8U+zYWVEa5j6rQpmDiJfj+cDf1vIAiCIFzK0UPHsXHtZp4/deKotZahM1BmqWCpMPO8qeDYwHrru3W3epEupl90SntYzRkmEc+8cg2JWxCEM2DhZY0ZVDUhg8p9aS48jnAMpP5HEARBuBRWxPfwASa5W4mgGrLjjqY4sxQTYqajsqoSgdF+9dYndI+Hj4cP8pV5MBssENhJ0roxZDIprp0/G8VFJfAP8Gt1cjpBEAThOsioIgiCIJwe7sc+tjfd3j7euOb6mRD7ilr0htxelGSW8qlQLIAkoL6keUCUH+QCf2gsKiizVQhLql2E1BGwsENWFLMmp06cwc6tuzD9mqkIC7dKIhMEQRDuBYX/EQRBEE6DCTCsW70B2/7ZUWu5wk/uVIOKcezwMaxN+x0Vcks9NSuGf6QCcoECanMpN6pcgU6nx4a/N0Gj1mL1739x2V+CIAjC/SBPFUEQBOE0mDF18vhpPs+8Lsl1VPecycW0VFxUn4NvQMNSyNIAX4yKGY+Kskqef+UKWFFgVhx4y8ZtmD57ql1kfwmCIAj7Q54qgiAIwmkwAQapTIK4hFjExMe4rOdZ+GF+QS6fj0+Ka3CbLh5dEBMfDamPDOoCLVyZc3bbv25GWETt0D+mvkYQ7siJEyexdMltbd7/4IFDWLzgRkwaPxkF+QXtbo+9j9ceVv6xCq+89KpL20A4BvJUEQRBEE6D1biZv/g6SKQSl6qHGdQmqAylEHqKEBrTeK6Uj8ILx4sOocvZCkzHeKe2sVY7BLVDIzPSMrF103bMvn4mF7ggCMahg4fx+KNP1OqM2OhYfPb1J07tIKPBgNTUtDbv/+9HHseNSxZhyNAh8A/wb3d77H289qAqVSE3N8+lbSAcAxlVBEEQhMM4duQEKsor0G9gn+plMrnM5T2uztdAbVFBJlBAEdp4e4R+PtiWswGeQvcJ7GB5Viy/ymQy45cVv2HJ7YtJ3prgGPR65Ofn4+fffqzuEWWBukP1DvMip6WmYeasmVD4KdzueATRGGRUEQRBEA7h0P4j2Lxha3VuUNeURLfpaXW+FuWV5VAI/CAPadzTExUfCS8PbxSqClBmLoe3wPV/Nn19xeg/uB/27NiHsRNGk0FF1MLTwxPJKcnV39M9sng43rtvvovpM6fht1//QN9+fbBw0Q1YfMNNfBuFQo6xV43FHXfdzvP2du3YhV9++hVvv/9W9XEWzluEF19+EQmJ8dXHmzFrOn7+8RduuNx59x0YNXpUrbas/H1lo+vZMf73wf+Ql5ePPn1746FHH4S3lzdmTpvNBVnmXnM9YmNj8MXXnyMrKxvvvf0eLl5I5ed/5LGHERoW2uB1PfTIg9XnMBlNDR6voXNLpdIGjxcVFYXz585zIZ09u/cgKCgIz77wDHbu2IUfv/8RIrEYjz3xKCQ+1pcz//f5l6isqMRtdy7l34uKinDz4luxeu2qek/qls1beSgg08kJCQ3FddfP5X1KdEzc59UbQRAEcUURGx8DoUjIQ/38/N3rDbEqX4Prk2/CpIRZDcqp21CEyiHzkUNr0UBT6Lq8qpowpcJhI4dgye2LEJ/YcD4YQdQNx2MD+A3rN+GBh+7nBhULg/vg4/f4hy37e83f+OKz/+Pba3U6ZGZm1joGM2hMJlOt423dvA0PPvIgrppwFf51+93Q6XTV22dmZDa6PicnB/PmzEfvvr3x5DOPIy8vD7cuuY2Hub77wTt8m/+++RqeevZJlCpLMXvaNYiJieHGTERkBG64fiFXEm3oumrS0PEaO3dj/VRaWoovv/gKYl8xnnzmSd4H182Zhx3bd+Dxpx5Hr149cd9d91WfkxlRhYWF1d/Ly8px7ty5Bh/I/gP68f5//6P3MH/B9XjhuRexd88+eng7KK5/5UYQBEFckbACtqyYLfOsSN0s78cmPMG8VB6ejb9fZOsl3jLoyjTQFGh57Sp3wc+/dluUJaUoLChCigsVFa905s6+rt6yEaNG4MGHH+DzS2++HapSa/0zGz169sAL/3mezz/60GM8FK0mYeFh+ODj9/k881ocOnio1nqRSIRl33/b4jZqNBpMvGpy9fdFNyxGt95J8PLywpvvvM6PZ6OmR+u5F5/F88+8yL1VLUEkEuK/b73Gi1IPGNgfX3/5Dc6fu4B+/fs2u/6nH37GyNEjqs/VrXs3DO43FGdOn0VScle+LLFrIuRyGT764GMMHDwA9z5wD1/O9t+8aTN279oNoVDY4HXZYHmbdY/3zlvvNnjuUyetqqQNHW/goIH41z138fnb7rwNt9x4KzfSBAIB93R98vGnUKtZmGUUWoNMJuMf273Iyc7F6lWrMWTo4FYdh3APyKgiCIIg7AILsSkqLEZoWEj1sprz7sTx48ewIWM9rkmc2+R28hAJV//L02dD5UIFwJYkv/+8/Feeb2WxWNC7b09XN4lwoRgM837YsOgrYKrQIzQ0pJahwNQj/++zL7H5n81QKpUwm8zQalv+jAcFB3ODyYZEIoG+hqeqqfVZGVlI6ZZyuc2+voiKjuLeMZsRZCP1YhpX75ty9TQeRghUISc7B1mZ2eialFjvupqjqXMHBPg3eDzmHbt8Hb4ICAzgBpXNCGPzBqMBrUWtUnOj8fChw9wYZvXoevTq0erjEO4BGVUEQRBEu2GhOKt+XcMHLHPmzUZUTKRb92pqVirOlZ6Er9+iJrcT+AowLG4U+gQN5OIW7orFUoaKCqvEeiUVCHYYv/zxc5Prv/jqsybXv/H2602uf/KZ2sp9dsmpOpcFk0oPjzo1zpZ/uxx//L4Sj/z7YQQHByMzIwOPPfI4X+ft5YXy8tqFpvUGPewFE4xQlihrLWNhdn5+9T3B/v5+GDN2DG6/lKNkIyQkBOfPn693Xe09d2uPVxeWF8YMVBt6feP99sKzL/Jwwocfe5h70f7+ay2OHD7arvMTroNyqgiCIIh2U1xYzA0qNhA7fMC9BwXsbXeJsoTPR8Y2b/xFxUTDTxgAbbH9BpX2JjgkCNcvuhYTJo9D3wGXlRYJojEyM7PQq3dPjLtqLFK6JWPH9p3V66JjonHh/AUUFlhzg5jYhFZjP08tE8VYvWoNsjKz+PeffviJe7pZe+oyeepkbN+2HV5e3txYZGF8TDq+NV61tp67LUTFRGH/vgPcY8y8gSzssTGYd2z02NEYOmwIIqMiuUAI0XEhTxVBEATRbkLDQzHz2uk4cfQUpsyc6NY9atKaoTWpIfAUIjAsoNntPSVdcKrkKHzS3Ps9ZGBQAP/UhA3qXFkPjHBfrp9/HRbOX4zhg0ZwA2Dk6JHV65jhwhTwxo68Cn5+CvQb0B8BAc3/X2kpo8eMwqIbF/LcL3b8svJyvPfBOxCLxdzrXROWj/Xwow/yfDYW2qhWqTB95gxcM2c2l4+357ntwYyZ07F82QoMHTAcXt5emDjp6ka3vfW2W/DIg4/hfx99AoPBwK/VYDDapR2EC6i6wikpLqm6ce6tfOoupJ3NdHUTOg3U19TPVxL0PNuHgtTiqpHJ46r6xw+uSj2Q2Ww/f/fSL1Ux4XFVt4+/r6ojYdAbqpZ9uaLq6KFjVe4IPc/2R6/XV50/f6FePxsMhqrUi6n1trdYLFUZ6RlVJpOpymw2V50/d77W+sLCwipVqYrPXzh/scpoNPH5ho6XnpbOz9+S9TbY8bKysqsqKytrLT9z+kxVRUVFrWXsO9vWaDBWL2vsuurS0PEaOndDx1OWKKvycvNq7XfxwsVa27B+O3/y8n7smDnZObytZWVlVefOnqteV6osrcrNya3+zvokMyOzqry8vEqtVvM2ER3zd4M8VQRBEESrYR6QLRu38VAzpvLXkdAV62GuMEPiI21STt1G1KUQwZLSYh46yCTNOwJ/rVqHgrxCbMj7BwFBAYiIDHd1kwgHw7wtiYkJ9ZYz4YW4+Pry+0xIgoX61fRQ1YTVZLLB6kM1dbyY2JgWr7chFAoQWUMEwkbNnDAbzONad9vGrqslx2vo3A0dr67KJtsvPuFyX9j6jeWu2WC/EeERl/+/dU3qWiunq2YRYnbPxNHiemqARMeDYgIIgiCIVsEMi3VrNvLcqR+/+4VLeXcktMU6XJd0I6bEzoE0sHmjyi9EDrGXBBqzBkaNtU5PR2Ds+FF8kMgM3/CIMFc3hyAI4oqGjCqCIAiiVbC3sDapdFbUVyqVdKgetAlOCMUCCHx9mt2eebOYV0tn0bi1WEVdmHdq8a0LcNXEMR3Gu0YQBNFRofA/giAIotX0G9gHEqkEMbFR8Pa5XIumI5CZloXNWWsxvPvoFhkb0gBf+HpJUGouga5Ej5CEQHQU6hZdZmGbrDZO3ZAmgiAIon2Qp4ogCIJoEWWWcpw7dAFmg4V/75qcAB9B854edyM9I52r+VUKylq0PfNUDQkbhUmxs7hR1VEpKyvDz9/9juVf/oCS4tp1egiCIIj2QUYVQRAE0SzHDpzAf558FbOun4W7Jj+IgovFHbbXCvIL+LRmInlTsBDBUEUYAkXB0HZgo+rHj35DVlYWzBYLfv+/P1FVWeXqJhEEQVwxkFFFEARBNAnzaqxfuxEyfxmumzUfyZIe+PO/G1FZUdkhe65YaTUIo2KaL/zLYCGCVb4VOFd6CvnZ1mKoHY2884V4+4O3sHvnLlgKK1C63YjjG866ulkEQRBXDGRUEQRBEE1iUZbhzMkzqCivgH9pCDy6eKIgsxDHNp3ucD1nMZZBrVfBy8MbQeEtz41SVZVgQ8afuHjxAjoiX76xDEpTMeSlQRDlyHGi6Ag+eesz8lYRBEHYCTKqCIIgiCZZ/d06bNy2Hue3puK2txahTGzE1yc/xi/Lfu9wPacvNcBYrufCEy2pUWXDpnZYWNjxPFUmnRlbd2+Gj4cPrl94HSbcOQoXVGew/dw/yDiejbSL6VwmnyBawt49+/DEY0+57fEcTUdrL+E8yKgiCIIg6lFRUcGV4thg+/T+c5AL/DB6yBj4+okxZOJAdEEX7Du8B0Ztx6nbxNCrjJgUOxvXJd8EX4WoxfuFR1rrPJUoS9DROLX9PFJV5xEnT0LvCd2QNDwO3YJ6Ql+hw8o//sRvP67E/j0HXd1MooMYAiqVCufPnbPLseoer2Y7d+3c7ZbGi72vn7hyIKOKIAiCqAUzpNav2YiVv6xG/sVChHlEYVG329F/Qh++vvuYJMTIE5ChuYj0w9kdzlPFcqQEngJuILaUkMhQbkiqtCoeBtmRyDyag6ujp2NY11EISw6Gj8gbo0aPgpeXF3RmHd/m5LFTKC8vd3VTCQeRkpKMW5Yu6VDtVJWWkvFCdCioThVBEARRixPHTuHUiTN83qy8LDse0yeCT1mdphj/OJwvPYU9m/ai2+jEDtODeqUBO3M2I0oaC7Ffyz1VMn8JRF5iGMp1MKhMkAa2PHTQ1QZy/ukixCuS0H1k1+q6XH1G9oLvDxJsWbcFdz1yJ6bOnsiNLKJjo9fr8eH7H+HYkWNc3fLe++9hUis4c+Ys/vhtJV59/WXs2LYDGzdsQs9ePfH3mr8hFApx7wP3IKVbSvVxtm3djmXffAcfHx/cuGQx3njtDXzx1edQ+CnqnTMtNQ2fffI5sjKz0KNXD9z3wL3w9fVtUduiY6JrbWNr5yP/fghvvPYmioqKMXv6HHh5eeKXP35u8JobO39T18m88DctXILnX3oeCYnx1d75xQtuxGtvvMrb1dLrOnzoCL756hvkZOVh3IQxuP3O2/j/Jdv52fnWr10PhZ8fHnz4fkRFR7W674iOAXmqCIIgiFp065GM5O5JCAwKQOqhdHxz8mOYpYbqHCQPTw8MHDCAz+/be6BD9V5JgRJHivahuKwAPsKWFy329RNhQsw09A8eCoPKgI6COl+LoxcOo9RUgqie4bUM5HBJNApLC9A1MAlCkdCl7ewo5Gbn8Y9Oa/Xw2dCoNXx5fm5+reVs8G7bR6+rLcfPijCz5QV5Vol/G2xwb9vHoG/ds/bmf9/C6VOn8a977sKw4cPw/DMv1AtZU5aWYsXy73HwwEHcsvRmBIcE446ld1Xn1R07egx33fYvjB49EtfOvQav/OdVHNh/EJay+nXdsrNzMHvGHERGReKuu+9ESXEJ7lx6V6vaVhNbO6VSKebOm8uP++wLz+CpZxsOA2zq/E1dp4eHB4KCg7Hyj5XVx9q+bQdyc3K5QdXS62LXs3DeIvTs2QPXzrkW69duwJP/fury+b/7nh93ya1LIJVKcN0182Aymlrdd0THgF5LEQRBELX/MHh5YdqsyTAaTVj61b+gK9Oie//kWtv0G9EXfTcPhsAohsVggY+4YxQBzs+1DmD95H6t2k+sECNKGledl9VRYEIUGzJXI0nRDY/2urt6uSJchondpsOiK0PBhWL0uvryPky4IjI6At7eLTc6Owvff/sTn44ZPwoDh/SvXn708HHs23WAG6d3P3hH9XIWKmrb5+opV6F3v17V6w7uO4LDB45AKpPi9ntuqV7OBt22fabOnIRuPS97kJojPy8fk6dMxohRI/j3aTOmIi+jvrhKaGgoXvnvy9xzOXT4UCxftgJFhUXc8GCGwLwF12PxksV826DgIMyYMqvB833x6ReYPmMa7r73X/w7O9bQgcORejEV8QnxzbatMZiHLC4uFhKJL/oP6Nfodk2dv7nrnDl7Bl545gU89MiDfNtVf/yJmdfMbNFxbXz79TLMmXsNlt6xFOnnsjBi7FCMGTEOTzz1OF/PvE5vv/cmBAIBRo8Zhb179mLd2nWYdc2sVvUd0TEgo4ogCILg+TQ1w7/YIKTSWIlsZSYXqUjsYzUobIR1DcKIiHF8vjC1BJE9rUIO7k5hvnWAGeAf0Kr9mKdKbVZxWXJDaccxqk4ePIXyyjKE+UVCESardX8jkkORdjAL+eeL+DL2Bn/n1t3Yu2s/Unok8wG9LVyQ6Bjc+8C9eOKxJ/D3X2sxbPhQXDNndoPbRUVFVt9bT09PPvjXaLXc2MhIz+SGgo2aYYF1uXD+ArKysjF39nVgji72DDHvWkZGJt5+811kZ1lzLp94+vEG2xYSalXVbCtNnb+56xw5agS0Wi33zCUlJ2PDuvX4Y/UfLTqujYz0DMyYNeNyv0ZHQSaTITPTuh0LLWQGlY3uPXrw/m3uHGRUdUzIqCIIgujksHCjX3/4A/7+fhg3cUy1cZV/oQiFhnxEy+IRHF+7plNwQiAfBGgtamSfzeswRlVxkbXwb1Bwy2tUMURSIc6WHsf+/F1YUHQdOlJ+HCM5KamegRTaNQjfrPwSkiIpFpTP5GGdxcVWdcPMtEwe4sa8KMRlFtx4PZ/K5LX7pU+/XnwA7eFRu489vTyr95ErLhu1jAGD+yKlexI8PWtnYjBvl20fhZ+8Vd3fvUc3rFzzBwoLCrFu7XpMmzQdX331TauOwa5NrVZXf9doNI1uK5fLkZSchOkzp9danpAQj5CQEJhMpurvcoW8Xts2bdvU6LFbYtA3df6tW7c1uS/7nZs6fSr3UPXrn42Y2Njq/Kqmjrtnz97q7zK5rFZflZWV8dwxtj9Dra7ddxq1mu/T3DmIjgnlVBEEQXRyWNhSdmYOjh05gSMHj1UvP3f0IkwVRgSKgxEYUztcTigRIBcZWHb6UxzacxgdBZskenBocKv26+LRBXKpNUm/4FIIobvDjN6LadZixT379qy3PiQxCMXGAlwsPYfijFI+iJ0yYyLPqVt4ywIyqBqR1mcfiVRSazkbKLPloeGhtZaz3B3bPr6S2gIEzMhgy0Mu1UCzwTwqtn3Evi1XqGQwcQlmBDFPzDXXzobZbK5+kdBSRowcjl9++pUbB4xvvvy20W0nTr4au3buQmxcDA/T69uvD04cPw4vby9u4LFl7MOutaG2FeTXzkGrCcurUqkuGyytPX9LYCGAq1etwe+//YFZs2e2+rhMRfPnH3+pNp6++r+vERkZUS1Gcf7ceezasavaM7Vj+04MHzHMLm0n3A+6cwRBEJ2cvgN6IzsrB5UVleg30Cqbzsi9kI94eRKS4pLh5VP/zwUbNP1xFDh16jQ6ipHR1bcHQrtH8Zyh1qJQWA3LwnxruJy7oy3SoUCdB7mPH6KT619vSEIA/IVBOFt6EkXpJVzVkYUqTZ012SXtJdqPRCLB+DFXIyDAHwX5hZg0ZRJiY2NxLs2q5tkS5i2Yh82btmDE4FFQKOTo0bMHN7iZAl9dWG7Q+XMXMGb4WERERiAvLx+zr5nFlfZa0rauSV2RlpbeYDv6DejHDS+2j5+fokH1v9acvyEGDBzAjZjNmzbjP6+82OrjstyzfXv3YdSw0ZDL5LCUWfDxpx9xw5iR0i0Z/3nxFe7BYgp/995/N/dO2aPthPtBRhVBEEQnRyQW4dr5s2GxlFUPBhiVJR6YEncNegyxDgLq0q1PCjy/90RWbiY3yFj4mDvDBDVQAUh9ZJD61/Y0tITAQGseVlFh6978u4rCtBIMCx8LY7kBQfH1c8ikQRIESoNxsuQIzp24gJ7ja4uR2MjLyUdgcAAJV3QAmAdo+sxpXOzAP8AfQUFBXEBh6NAhiI+35kWOGjUS3bt3q7XftyuYhyWSzzPD+qtlX3IjgM2z8OD16zbwXCFGzWMxHvn3w7j7vn8hMyOTGwfMeGpp2+oer+Y8y3/auGU90tPSYTA0nsfY2Pmbu04GMxaXrfgGeoMBoWGhLTpuzTayEML3PnwXxcXFOHn4NEaMG1YrNzUgIADf/bCMX4NCoYCff22Pf0v7jugYkFFFEATRCWFem5o5CyxMSSi8nFBdZi6HKl/NC94Gxfo3eIygaH8uYqE0FkNTqKslhOCO6EuNOKs8wev2XOM3qdX7BwRZDZNSpRIdgeJ0JfyFgdzYDYiur3bI7n9sdCy2pgNnTpxlemz1nhEWDrpl4zYkdetKwhUdBKbamJxS20Bm4Xfsw2AD+7qD+169L6sSMv5cuRozZk3nzwCTPh88ZFC1sVDzWDZEIlG9c7albXWPzYy6lhy3ofO35DoZcTUMxJYct6HrDwwMRExMbIO13tj/s9aeg+iYuPdrRYIgCMLusNo5v/24Eru37+XzDVGaq8bv51dgXfpK+EfWL/jJ8I/0g0LgD5W5FMpsldvfKb3KgGPFh3Cq5Ch8/VqXq8JgeRLjo6ch0Kv2G213JfVMOs6XnoaPvye8vOuHbjGSU5Ig8BSgMLfhkMbM9Cz+jFw4dxGlSve/x4R9YOFwIwaP5BLf27Zswwsv168pRRCECz1VrEbBpo3/wGgwYMiwIQ2+MajLqZOncejgIR5Xm9g1EaNGj+RvVAmCIIi2sX/PQaSnZvAPUxqrmUdlQ5lVihJjERQCP/hHNGxU+YXLkOzfA+HmSBRnlSJ+ULTbe6qMZXqE+IZD7Cdq9f4BIX5I8e8JlKNDhDseOX4E6zNWoUf/2iFQNYlPicWtPe/nf1fLyypqGV/sDfvkGVfj7z+rMGrMcPgHtK62F9Fxefv9t7hKn8Fg4MVwadzVehoKPySubJz2F4El8rFkw00bNuHs2XOYd+0CfPTBx03u89or/8W1s+bi6JGjvNbBE48+gbmzr6+uRk0QBEG0HibjHBIazD+9+vZocJu0s5mwVJrhLwqEPLRhWW1voTf6JQ1An+BBKO0IniqlAYZyPcRevvBVtN6oEitEvE5ViaEIBrX716rKzrXWCEpMTmh0m8AYf248VVVWoTSnvtIaC7+aPXdGdegj0XlgKn2xcbFkULURFnrInAFE58FpnqrHH32SJyj+983X+PdRY0bhwXsf4tWkY2Jj6m3PpDw/+9/nvBL2/Bvm8WVL77iVq9Fs2bIVk6e0Ph6eIAiCsOYEzL/xOphN5gZzABgXzliluMNCw5v0yPhFypGXnY+sizlu37UlBSWoqKqARCxtUM2wOVjIIAuHlHjLoC+9ExL/2hLZ7oRJa0axphAiL19EJIQ3ul1AlB9OlxxDmvoCZmZNaDR/riYatYbLrVNhYIIgCCd7qs6cPsPVXq6fby1mx5g6bQqv88AKwDWEp6cXf0NWU4nKy9P6R1Di675/yAiCIDoCzJiqWzenJiw0kMFqqDSFIMAbX538EFsPboa7U1RgVe2TS1tXULWmp0rkJYap3ACDyr09VSwnjuW6sfBNFqbZGLIQCfTlOqRpziM3Na/Z4545dQ5ff/4dDuw9ZOcWEwRBdGwafVXH5B1ZMbTdO/dwKUidTgeFnwJJSV0xcvRIzJ4zC/7+zb/RYly8kMqnNSU42R/0qKgoXLxwscF9mArVux++g3fefBfHjx3nBfB2bNuJ+x64l5+/MYwGI4zGy3/sVKXuH5JCEAThaHZt2wOJ1Be9+vZs1sPAFL8qtFWIlsYhIaXx0DFGZFw4hJ4iFKkLYDGVwUfoDXdFCDEWpNyK2KS25X75XjKq1GYV9G5uVJVkl0JtViJOngS/RnLiGJ5enggJDAHygIvn0jAOjf99ZdLae3fuQ5mlDLu27Ub3nilNGuYEQRCd2qhKS03juUwb1m1EdHQU+vXvhwED+3OjhlXCzkjPwMcf/o9vM2/+9XjwkQeaNa70BmtVbhYuUBOZTAq93tBkiIFWo+HbsEGAVquFWq1GeXl5oyEra1evxx8//1lveVZqHjQl1na4GpbgzOpGENTXVwr0TLt3P+fl5mH3rr18PjerACnNyPda9BZECGIQkRADgdinyXOaKkyQ+sihtWhweu95yMMazr9yBzRFei4x7iuSNHlNjfUzW87C6Vjdp5wLeZBEtT4vy1mkH8/CtLi5EAiEKClRQlla2ui2wcEhfHr+7IVmn6/+/ftj167dGDCgP4pylShC2+Xl6XfDOVA/Uz9fSVS62Rg6Nimqer6WZVKqLMWMKbMwZ+41WLPuT3RrRLWEvcXcvWsPli9bgTkzrsWWnU2HfYhFVulandbq7bLBjKTIqMtF2GrCvGOPP/oEPvr0w+r8qaKiIowbOZ5Xo164+IYG95s8fSLGjB9Vy1P1whOvICo+jBebcwfYw1DzJhDU1x0deqbdu59FMgFOnT4Fs8mCEWOH1HvBVZf885flteN7xyA2qeHfaYZE4AuZjwxFxgJIRL5u/duWX/I7zpWcQWLgjCbb2VQ/y8RSVBSXA12q3PpaT646jzBJJK9PFZfStGcuuXsysAkoKils0TX16JdiF/EC+t1wDtTP1M9XEuluPIauZVSJxGJs2LwOYeFhTe7EvEbDRwzjH+bZao74hHg+TU/PQN9LRhULI8jKzMa0GbWLDdo4c+Ys34ZVrrbBqm/HJ8ThxPGTjZ5LJBbxD0EQBGGFqfwtunkBSktVzRpUDHWhFstOfYpERQqWhsxvcltZiJR7qpjQQUluKRLQdA6WKzmTeRJbszbgGvHsNh8jJaoHvCp9YNZY4M6wPOY09XlE+DUezmcjKj6ChzXqtHpUlFfwkMCmqGtQsTpWJLlNEERnx6NuHlNzBlVdmqoSbaNb9xSu8Pfzjz9XL1u/dj0PJ5w46erqZT+s+BEb12+yHjculk8P7D9YvV6pVHIjrmZuFkEQBNE8AqEAoWHWMK/mKMgshMaigqeHJ6RBkia3ZTlUSeHdMCh0BJQ57pvDyiTDtXoNnw8Kabs8eHx0AnoG9kOlqQruzJEzh/BX2m/wkjdtIDH8wuW4ucc9GBQyAppCXavOk5GWiS8/+QaFBQ0XDyYIgugsOEVSnXm2Xv3vy7jlpqVQligRGBSI33/9A/fcf3e1F4vxzVffonuP7pgwcTySU5Jx45LFuO/u+7kohlQqxV9r/kZkVBRuWLzAGc0mCILosOTl5HPRnvjE1r+EunjWKi4U7B9SqxhsY/RO6YOgLmEwKs1wV0x6M4xlBi6qIVG0XVxB4OvNVfWURY0r6rlDzkFRaRE8ungiKqZxOXUbitDL8uiqfA03slqCQW/AH7/8ifKycqz542/cuHRhLcVegiCIzkQto4op/L31+tst2pEZOQ89+mCLTzR85HBs2LKee6hMRiO+/u5LDBw0sNY2CxbOQ3BwcPX3F19+Addcew0OHzoMs9mMZ55/GuMnXEU/2gRBEE3A6k+tWfk31CoNBg8fiFFjR7Sqv7IyMvk0IjyiRdsrQmXIOJWF/KwCt70vRrUJxnIjRF4iiOTCNh9HDx2Wn/4M073n4Ba45ws+bYmeC4dIvWVQhDZvICnCZLioOoszyhO4Knc44vq3LF+BCViNHjcSO7ftxsgxw+lvM0EQnZpaRhV723T40JHq7yaTideYYmEj0dHRKLNYkJWVzeOnx44b0+qTRUVF4tbbbml0/Y1Lbqy3rF//vvxDEARBtAyWO2Uxl/F5f3+/VndbXl4+n0ZGt8yo8lF44fPj72KYagzuQv3fcXfAoDHx+lJCLzFEsrYbVcEhQXyq0rhvqKOmUGs1qnxkkAU3Hb7JEPgKYIQB6ZoLyErNxgD0avG5+g7ojaSURJJWJwii01PLqGLKfH+s/q36+9NPPIOuSYn4zysvQa6wvu1iRtU9d92Lq2vkQhEEQRDuA8uduvG2hTh94gy692pYxbUxmLprF5MnIiTRiE5omcciOCoIAk8hVHolzHozH6S7o6dqbNRkVFZVQCxvu5iRf7AfD6tj+VkszM7Ds/0qePaG5UVpLWoEyYMhC26ZxH1wUDCQDmRnZLfqXCxskGpVEQRB1BGqqElZWRl+/fk3vPbGq9UGlc3b9NwLz3I5dYIgCMI9kUh8MWjogGYL/dbFqDEhzjcJsxMXwD+sZV4uaYBvda0qbbF71AOsi1FjRIAoCEHi0HZ5qnzlYh5CaCg3wKx3TwVAdYEWE2NmonfIQEj8rSVNmsMmUpWbk9euczPBClYvkkW0EARBdCYaNar0Oj0qKivg4+NTb51IJISqiUKCBEEQhHNhJSjsocBWU/1NHtJ86BiDKQSyUDONRe22RpVOqcf50lPQlKkg8K3/d62lsHwsJnZhLjfCoDbCHdEW6RAti0NCTCK6eLTMqI6MsoZ6FhRaQz/bAjPIVnz9I04eO419uw+0+TgEQRBXlFHFvFMB/gH44N0Pa71xMpnMeP+dD5DSLcVZbSQIgiCaYc+OfVj+1Q98MMtC+NqTj/Pz2W+wK3cLZEEtCx2TBvpC4i2FvkwHTVHrJLmdRWFBMdZn/IlsU3qrvXc1YV6uXkH9keTXg3v13JGM1CxkadMg8vNu8T4RMeHw8vCGRqPl8vNtDTsNCgnkghUNvZAlCILolJLq7I/OCy8/j3vuvBd//L4SPXp05yGBRw4fAft7/cMvFP5HEAThDhgNRhzcf5i/ALt4PhUDh/Rvs+GgLtKi2FiIMEkUJIEtkx4XSgSI80+Et4cPVIVquCPFhcV8Kpe1TC68KaOqR4BVPMldjSpeo+riHxgwtl+L95GHyHB7rwf5c6NXGSDxb73sPCsAPHXmZO41DQxqey0wgiCIjkiTGbasMO+mrRswafJELmnOqqwzhb5/tm9C16SuzmslQRAE0SgisQgLl8xHVEwkpsyYxAe3bSUnPReVqISfxA/egpaVMmQD8d6JfTEsfAyMpe5Zq6qkqIRP/fxar4ZYE7FcyEPjmVfOXY2qklLrtUbGtEy9kSEL9K02xLVFbQ/h9PNXkEFFEESnpNm/mFHRUXjq2Sed0xqCIAiiTQQE+uP6hde2u/eyM63qb0GBl2sGtjQEsDi7BMp898y3VZYq+dQ/wL9dx/ER++BA4S4cyN+FCSWj4G5YjGXQGtRcjdE/pOUGJMuLO1d6CtnaDMwsvhphya27/42h1Wih0+oRFhFql+MRBEG4K82+zszJycGLz72EG65fiOvnzOPhJR+9/xEsFvdUPSIIgugsOEJhzVajKiysdYNgg6cOnxx7C3uO7YQ7olZbwxLbG5bGvDlSiTXXrLjA6hFyN0EOfbkOvt4SSAJapvxnM4qVpmKcVh6DMsc+hvG5M+fxzRfLserX1TAa3dOrRxAE4RSjavM/WzBu1HgcOngYkVGRSE1N42ElRUXF+OmHn+3WCIIgCKL1eVTffL4cp46fbpcwRV3K9RUIEYfx3/zWEBEdzqdFJdbcJXcjXBCNybGzERrefo+JXKbg0+Ii97tWXYmBhyaKvXxblRfl5eMFf5nVi5eRlmW39phNZuh0eqSnptvtmARBEB3OqHr2qefw1DNP8oLAj/z7kerlk6ZMwu+//uGM9hEEQRANsGn9FihLlPj7z/XIy2m7DHZNmHEW5hWFuUk3IjzaWreopQRFBHKhCo1BDbPBvSIZyssqIKryRYIiGfIAWbuP53epdqOyuNQtPVVDw8agf8hQSAJaJzYRHBzCpzmXQkDbS1JKVwwaNoCHpXbrQYrBBEF00pwqtUqNosIiLL5pUb117A1mXm6uo9tGEARBNELf/r25MRUVHYHwyNYZQI3BitmWmcurC/q2BqusugT6Mi10xXoIot1HUtuoNqHIYDU821P414afv9Wjo3TDeo3MUxUjiwe6AL5+olbtGxJizaMqLGx/vTMbo8eNtNuxCIIgOqSnSiAUcgl1ZlzVpSA/H4p2KigRBEEQbScyOgI3LV2IcRPH2K0bWeHetel/YEvWulZ7OZgRJvaWQlemg7bEvQoAM5W+3Xlb8U/W37x4b3sJDw9Dr8D+EFW2PGfJWZTklyBPlw1P3y7w8GydCqRNTKLUgcZimaXMruGqBEEQ7kKjv7hCoQADBg3AIw8+ilLl5R9Y9mP45edfYcy40c5qI0EQBNEAPgIfCAQCu/WNrkTPPTqmcmOrjSpffzES5EmIkyVCX2qAO2FQG2EsN0LkJbaLp4rlZY2OvBqKLu5Xi+nChQv47cJyFJa3PpokPCocd/R+GCmS3g4xfDLTs/D158tw/OhJux+bIAjCrSXVn3vhWcy/bgGGDx6JrkmJ0Gq1mDxhCsrLK/DqG686r5UEQRAEsrOy4eEDRMdGOaQ3tMU66Mv0iJFJeDhfaxDLRegV3B+ogtsZVcxTZSo3wE/gz+tMtRfm7WJGh9Fg4vlaXt6ecBcK8gv4NPhSKF9rYIa0l4cXKsoqYNZZIJQK7KpUuXHtZmjUWmzduB2JXePtdmyCIAh3oMnYgB49u2Ptxr9w45LFkMvlGDJ0CKbPmI7f//wVcnn7k30JgiCIlqFRa3Dw4CH8vOI37N213yHdVpBThIqqckgE0lZ7dFioGTOsmLGhKdbBnTCorJ4qoZ08VWKZCN+e+h+2ZK7l+VruRFGxVZEwLLz1eXYSfzFOFB/GoYK90NnZMGbKwZOmT4BIJMKEKeN4wWqCIIhOVfw3IiICTzz9uHNaQxAEQTRIqVLFayTZ8qkcQW6mNWQswM+/+lytIc+SiRVHv8aDyY9hAtxHoECt1HBj0Vco5tLh7UUoE3ClQ1OFkXvBWuvVcxTMoFWqrLWzWqveaDOqMjQXoTaX8lDQwGj75k5HRIbjtrtvhrePt12PSxAE4daeKo1GgwfufRAb129qcB2TWycIgiCcQ0xcNK6eOAGTp1/NB6eOQKPUIkAYjNDQtqkJ+gX4oxKVyL8UguYuWPQWjI+eim6RvexyPJFUCKGXiOeemXRmuAtMvVFr0vDcMUWwVfa9tXlxYq7gqHdYCCcZVARBdDqjymQyY+Xvq3DH0jvx7dff1lv315q/ndE+giAI4hIsdKpH7+4O6w9ZlR/mp9yMPt37tGn/kDBrHo9SafWWuAsVpiqk+PdCTFisXY7Hco2EniKYKkwwad0n/E+nNCDZryeGhY3lXqfWwsI3fb0lsFSaUZLneLl49oJ284atpAZIEMQVQZNxEAGBAXj40Yfw9BPPIDsrh4cBtiUkhCAIgmg9PD9JrYVcIXPaoJzRWuU/G6ER1uKxpWr3qt9UWlyKYmMhQoWBdjmeiBlVXkKY9EYYte7jqWIhe5HSmDbfQ5YX5yf3B/KB3KwcOJKsjGxs2vgPF7DwD/BDn/69HXo+giAIR9NsEYsFC+fji68/x/JlK3DPXffBbHafPyAEQRBXMieOncJXn36LfbsP8MGnI6msqMSu81vx58WfIFa0TczBP9gPPh4+0Bq01UWE3YGTqSfw49mvUGK2T1FbH7EPwqXRiJN35TlV7oJVEr8ApnJTmzxVjMAAq+GZl+vYEE5WE8vX1xeenp5cUZggCKKj06LKgOOuGosff/0e+/ftx6L5i6FWqRzfMoIgiE5MWVk5tm/eiYqKChw/coJPHYlBbUKhPh8lpiJI/NvmqfL1E6GrX3cEiILcSladlQNhMI+IPWARG/1jB+Kq6Ckwu1FOlapQjZ/OfY2jxft5KF9b6JPSB0t73o9gQdvy6lqKl5cXBg8ZhEU3z8eAwf0cei6CIAhn0OJy6z179cRvq36FSqXG4gU3ObZVBEEQnRxvby9cf8MchIaFYNL0q+Ht7e1w2XFDuR5iLwnEirYNyJnQwdioSegV2N+9jCqdxq5GFUMotXrz3EmoIv+Sd0kulaOLR9tC9RVBcgi8hDCUGu3cugbOpVAgMNg+IZkEQRBua1T5eHujb7++tZZFRkbglz9+RkJiPMTitoUWEARBEC2DDThvWDIPkVGOkVCvCTOCDGU6+Hr7wlchbrNRVX28S/lZ7pCXptVb62b5B/rb7bjZunR8cfxdnD5/Gu5CYb41vNFP0fbrZLlYBwt249iFw04XkDDoDdBp3avGGUEQRLuFKhR+Cnzx1Wf1lrOiv8t//K7FJyAIgiDajrPEgfQqI5fSDpNE8TC+tuDrJ8a+/B04UXwE45Uj4A6UGctgLjfxXK+2GosNIZaKYa4wo7TUfUQ5igqtRlVgYECbj8EM46NFBxFtioPFYIHAVwBncPrkGfyzfivCwkNwzfWzSBSLIIiObVSVl5fj4oWL8PLyRkxsNJ9vdEcvb+6xIgiCIOwD8wxs+HsTomOjkdytq1MHlpoSDUTeYsgFCohkbROq8BF6w8vbC8ZyPUoKlHAHjDozF5TwEwZUh+zZA39/ayihyo1yjJVKa58HBbU9pI4JXDBvpb5My9UgnWVUsdBFk9GEtIsZyM3Jc1gtNoIgCKcYVUplKSaNn4LAoED8tX4Nn28Mts2BI/sc1jCCIIjOxvmzF3D8yEn+MZtMTpWZNmvKsKjb7TyfiklrtxUuyZ0F5GXnwR0wac2IkcUjBvEQSnzsdtyAIKs3SKO15mu5A3IPfwwOHYmwdhgkTKSE1arSWjTcqAqIsl8eWlOMHDMcxUUlGDxsIBlUBEF0fKOKvXlbs241T5C2zTcG24YgCIKwHz4CH0hlUu6xSumR7NSutQlLtDX0z0ZAgDWfp7CgEO4AK86rs2jh4+ljV0+Vzahi8vHuAJPEZ8WbB4WOQGBo23Oq2P0XefmiQJ/nFLEKG94+3rjuhjlOOx9BEIS98aorcdqjZ/fq7zXnCYIgCMcSGxeDJbcvgqpUDYHAOWFXNo6eOooNqWuxoOuidh0nMNAaelZS7B7hfyadBb9dWI4QcRjukd5st+Oy/KxYWSJ8PaS8Jpe3wLUvGlkRYp1ZCy8P7zbLqTPYvmIvX5gqjNAqSTSCIAiiXTlVLdqRcqoIgiDsjo+PD4JDgpzes9l5WUjXXGjXgJwRFh6KSEkMYHZePlhznipzuRECTyFEEvsZqiKJENPir710DrPLjSomib8pcw2M5QYsVMxu83E8vT0xOHY4egf1d2lh4+zMHOzevgczr50OgdC5LxgIgiDsllPVEiiniiAIov2wor7FhcUICQtxaXeWqq2epdCI0HYdJyIqArMS57tNiLheZYCl0gKhlwjeIvvV+hJKLw/0TToTpIFtK5hsLwwqJomv5/lQba0zZiMoOAjKbBWMatfU4CosKMKP3/3C57dt3oGrp4x3STsIgiDanVPVEtzlDyZBEERHZv/ug9i5bTf6DuiDMeNH8jBsV+TjaPQa+HgIoAiUtetYNk9XmakcFlMZVwR0JcpLYYgSX4ld1RSZQuKWrHXQlWkwXzsDrsagMnEvVaAoGOJ2SsdX+FhwpHAfpOnMcBwDZ8M8tUkpichIy+TFrwmCIDp8ThVBEAThOMosZTi0/0i1sIOnp6dLutugNsJUboTIS9xuL4dYLsRfqb9B6CXE7eobXG9UlVjrSEklUrseVygRwFxhgtJUwvOZXA3Lf2JGFROZYPegPZR7l2Nn7maEZYTBVYyfNA6VlZWQSCUuawNBEERraPaVKFOhKsgvQE5OLiorK6qXe3v7oG+/Pq06GUEQBFFb8WzRrQuwZcM2DB891GUFT/WlRv5bz0LHWAHf9sCMMiZyYCjXc2NNHmJfY6a1VFm6oF/wEESHxtj1uCz8j+VpsXwtlrflaoryi1CFKsh8ZTwvqj2EhFpz+kpLXSc2Iva1X6FmgiAIlxtVGekZuPdf9+HY0eP11lFOFUEQRPuRyaSYee00l3alodSAqfFz7CKpblOPKzLmc/EEVyOoFGF4+FjER0fb97hiH56nxfK1tCo9XI1JbUb/4KGID09s97GCwqxGlUqr5sa2q4z9mpQqS1FeXoGg4LYXNiYIgnAkTVZ4fPrJZxEbF4sff/0BAQEB2Lh1A156+QXI5DK88NLzDm0YQRAE4Rz0NYwfe3iqRN5iGMoN3FPlanRqPSqqKmoJS9iDLh5deJ4WQ1lkDTF0JV0snhgWPgbJ8SntPpYsQMpDQfVmHcqMZXA1hw8cxbdfLMffq9ZxYReCIIgO5aliscz79u7D/sN7YTJZ48UTExP4RyAS4teff8W0GVOd2VaCIIgrgg1/bUJAoD/6DuwDD48m3205BU2xDuvTVyHJvztE7SyQy3KN2IC8vLIMpYVquJo9Z3di49k1eHPce3Y/dpAiiNe/0qtd76lSlWhQUVkB33bmxDFYTha7h8ZyPfRqI3zEPnAlVZWV3EtVXFSC3Ow8RMVEurQ9BEEQrTKqlEolfwsnk8ng5WWAVne5avyQIYPx3tvvN7YrQRAE0QhpF9Nx7MgJPm82WzBs1BCX91VBXiHOq04jIjCKe2DaA9s/2C8EoZpwlBar4Gp0eg2f+gf62/3YfZMGIKQyCqIurs//2XViOzae/csuxqPYT4yJMTPh4ymAodQIvzA5XAl7+cCKSfcZ0NslNdwIgiDa6amqqv7jKhaLuYF15PBRLk5x5sxZSEmRhyAIok0J+EEhQdBpdXyw6A4U5xfxqZ/czy7HG5g8BLGCrvAqc63yX0VZBQwmAzy7eELmb3/BDFYAmGHUuFb9j+U9qTVWAzY4PLjdx/OVixAgshov7hDCyby5V0+lWlUEQbg3LS6IMvf6a3Hz4lu4UbV3zz7cdudSx7aMIAjiCiQkNBgLl8yDSqmCSNS+UDt7UVRUXF2r0B7YalW5ekBu0pm57DlT6WtvWGND6Kt0+O38dxgrvBrz4bpaVRZjGc9/YtfJ8qHai9hPhGJjIfL1uZhQOhLuiLsIaBAEQdhoNJg/MDAA6zb9Xf39308+hrvv+xfkCjkeffwR3PfAvY3tShAEQTQBq0cVEBTgNn2kLLFKZwcG2ye0yuxhwK/nluHQ6QNwJSatGSZmVHkJea6XvfGVCZGnz0GRshCuhKksMmEQsZfYLjlVPiJvZOpSsTV7HUryS+BuxtTZ0+e5cIXB4HovGkEQRLOeKuZuZ4p/NQcBS2+/tbHNCYIgiCaEf7IyshETZ19Zb3uhUVvzjoJC7SNXLfX3Rb4hF/nF+XAlRp0ZEZJoBFWE2F39j+EfaP0bqdPr4Gr1RiYqYS38236jinmAFDIFkGPNt3MnCguKsPr3v/j81k3bMWXGRFc3iSAIonXhfwRBEETbOHzgCLZs3I6klERMnDoBAqH9B/htpbKiEknSnojvnYzIqAi7HDPwkpiARqtxaZiWWWdGv+DBfN4R4X8sT4vlaxnMepRbyuHl45o/qUa1CTGyBPh4+HBJe3vg728V9ii8lG/nTuGz3XumICszm/9/IgiCcBea/AtgNBrx1f99jUMHD0Orvaz+x1Ao5Pj0i09adbKtW7bhz5V/wmgwYuiwIViwaAG8vJr+I6TRaLB82QqcOH4SoaEhuHnpzYiMtM8ffoIgCGd4qY4eshZQLy1Vw9vHteINDeUdVVVWwdPDCxKFr12OyfJ6WH6PwaKHWW9xSOhdSzBqLwtIOMJTJZIJ+XWyvC0WaigJcJFRpTFhUOgIuxqPAZe8cCUl1nw7d2Lc1WN4NI2PwLVS7wRBEDVpskDK/fc8iE//9xkEAgFiY2NqfaKiotAafvrhJ9x28+2IiYnBiFEj8Mn/PuPHb4rs7BxMuXoadmzbgasnjkd8Qjxuv+WO6rpZBEEQ7g4b/N2wZD769OuFiVPHu0VdqrpejpPFR3CocC9EcvsMyFkImrXOkYEf31UYNUZ8duwd7M3bDoGv/QfgIokAfsIAeHv41DLgnI1BY7R6BD262O06g0OsKoJKpesLG9dFKBKSQUUQhNvR6Gs1Zrj8s/EfbN6+CVHRrTOg6lJWVobXXn4d99x3N+594B6+LDklGdfOmotbb7sF/Qf0a3C/p594GsHBwfh2xTc8p4sxe84seHtT1CJBEB0HoVCACVOugjvCBuTnVWdgqTDbJR+HIVYIubHBwtFY8Vi/CNfUOVIrNSirtMDHxxueXta/IfZEKBNiduICPm/Suc54zM8twCdH38T4rlPaXWfMRlh4GGYmXI9wsfsX2s3LzYePt7dbib8QBNH5aPSVaWVlBfdQtdegYhw7epwXE548dVL1sgED+yMkNARbt2xtcJ/CgkJs3bwNS265sdqgYvj6+tb6ThAE4Y4wz0FHwKA2wVRugMhLZD9PlUKEqXFzMCFmOlemcxUlRVblOomv/WtU1Q0pZOF/rqK4sBiVqISvr/2KEMsDpYiSxsHT7I2K8gq4K9v+2YEVX/+IdWs28lBbgiAIV9Goy4cV/O2a1BX79u7D4CHWRN+2kp2VxaehYaG1loeFhfFk04ZgBYbZoCQqOhovv/gKcnNyER0bjcU3LkJ4RHij52L5WiwXzIaq1FoQkSAIwplsWrcZPj4+GDZqCLy93SuPqiYsPI+F6QWKgiGW2S/8z4Yra1WVllhD12RSxxhVrPjvieLDyNFlYrJ2DFyFstgqia9Q2KfOmM0wztVloQpV/BmRBNgn387e2ERfiotKUFJcgiA7lQUgCIJoLU3G0b36+stYNP9GzJw9A5FRkfWMrgUL57foJBZLGZ+KRLVDS9j3sjJLg/vYDKMH73sI110/F7369MLaNWtx9bhJWL12FeLi4xrcb+3q9fjj5z/rLc9KzYOmRA93UdtKP2c1NAnq6ysBeqbrF9O1iVMoi1Xo27eP2/ZzzsV8mMqNEPn4Iicr3y5KfeyF2EXNWZwoPIyUc3FQJDjGqGmOgkvKdUKhuFX91tJ+ZgIfKrMSqepzvB+l51xjeBQVFFX/TbXX86HV6bArdws8unjg/NE0+EXaP4TTHs9zkH8wEhMT+EtgvcoEvYr+tjqin4nmoX7unP0cmxTVMqPqx+9/QklJCZZ/twK+4tp/LAKDAltsVMnkMj5VqVQICrr8Fqm0tBTxCQ0bR3K59Qf8+nlzcfd9d/P56TOmYcLYifj6y2/wwn+eb3C/ydMnYsz4UbU8VS888Qqi4sPgH2CViHU17GGoeRMI6uuODj3TtVEEyZCRmY78vAJcPXUcfCW+btvPx/46zUPH5FIZ4pLtV0fL4mlCti4DZeVlLvu9E3gIECtLQFRkZKva0Jp+9hVLUFlVCU/PLi67Tp3RWicrIjrcbm0Qe4u52AgzGhVyuUOuzV7Pc3xKjF3ac6VCv8/Uz1cS6W48hm7UqLJYLFjx3fd48503cO11c9r19rJ79258evrUGQSNsRpVBoMB6WnpWHTjwgb3SUlJ5rlT0TGXfyyZahbzmBUXN17hXSQW8Q9BEISrUPjJce382VCr1HYzqBxFF7MHbu15P4Lj7VP414ZCruDTogLXSXIH+oRgWvxcxEbHOuwcEl8Jn5ZcCsFzBYJKEWJliQi6VB/MHojlQm5U5emzXRrC2RZYbpW7qWwSBHHl49GUYh/LB5h7/bXtDgdhYheDBg/E559+gYoKa8Ir8zaxH72a4hXPP/MC/u/zL/m8wk+BqydNwKqVf1bvk5mRiUMHDvFjEQRBuDPsd5P9jrk7rMaR0EsI/0D7ttWW36MsafwlmDNqcDGEDij8a0MuldfK33JFKEyEIAbT4q+Ff5CfXWtwMfESVoNLV+oeofMtMaYO7TuMrz/7DmYzlV4hCMJNjCqmsieVSlGQX2CXEzGPV1ZGJkYPH4vpk2fi4w/+h7ffexOBgZffju7dsw+nTp6u/v6fV19CQX4+xowYh/lzb8DUidMxacokLL5pkV3aRBAEYS9YHtG5M+c7jOqfjbTMNBzI34Uyz4bzW9tKYKA13FpZ6hpjg+U7bT//D5af/hwCieOKxMoVcl6nSqO2huC5xHCsumwI2QsmQS8RW3PhivLdrwBwQ2RmZGHzxm0oVZZix5Zdrm4OQRCdjEbD/5h3aM7ca3DH0rvw2BOP1pNW9/TwaFKFry4xsTHYuHUDl1c3GY3o2bsnZDJrrpWNF/7zHCSSywnNzOBaueYPnDx5ChqVmotTsNoZBEEQ7sbRQ8ewad0W6PV69OrbHddcNxsdgbTcVOzN345Zghl2PS7Lu2V1qox614SOWYwWaC0aGMv1dlM1bIi+3fpBUPAggsX2DZ9sjadxXfpKXo9rjmyyXY/dI6YXfCFFlaljvCiIjYtBbFws1KVqpHRPdnVzCILoZDRqVJWUKPHRBx/z+RuuX9jgH8wDR/a17mReXo0W+mU0JN3OQmh69uzRqvMQBEE4E+ad+nvlOvgIBTwf9eGHHoWqQIOb77nR7dut1lrLTgSFBNv12OGR4bit94PwFrlGTt6oNcNcboTAUwSB5HI9KXsjvHRsk9bkMqNKY1HDq4uXXT1VjIiwSHiofVBhdH+jij3Lj9z6OGSFwfCpFODmL5bisf88gglT3bPoNkEQncio8vNT4Offf2x0R29vx4VTEARBdCS2r9uFz7/6HJNHTEV0VVf0DhiAgn80MN5osvtA155YjGUwWPTwgAeCQgPsemyxzCoYVGYsQ7mlHF4+TYrN2h2zzgxThRkCTyFEDjSqPARdsDlrLRKNSQAaFl5yJEaNmUviB4mC7f6seYk9ea0qSb77PsM2vv1gBX5d9zOGhY1Fj4A+yFXm4rEH/o1d47ZDKHL/9hME0fFp9K+cVqvF66++gZ9//8m5LSIIguhgHF55AknybojQJWDQjH7w1HkDZmDn8gOYcNdIuCtM1c1YboTQSwSxQmzXY7MB/u7crdyoMWoWQRro5XxPVYWRK9g5UqjCVy7GqZKjEHqKUFFewXORnO2pYkaV0Etsd6Oq3NOM3y+swFSRe4eyVpRV4H//+x+k3jIMTxqFhIGxyNKN42GRH7/2OW55YHGHEI0hCOIKFaoQCoW1RCMIgiCI+iFHhaklsGQC42OmYfT1QzH+jhHoOjwORYYCfPzFRzBo3FeO2qhmA3IDNzyYhLY9EcmFvE5VhuYiH/i7QsDBTxCAQFEIhA4UqvBV+MLHQwBThRFmvX3FPlqCtlQHS6UZIm8xBL72vU6bRLtaYw0RdVfWfr8R+Zpc9AoagPG3jcTk+8dgUJ8hmDZpBqoEldjw1z8dTkCGIIgryKgSi8VISIzHrp27ndsigiCIDsKWjdvw/bIfoa5UwtPLAwNm9eLLB1/bB0XGfBzK34tfP18Jd/ZUjY+ehslx19jdy2GT5GbGhtEFhqVJa8bE2JkYHj7WoZ4qkVTAJemZ9Dg7p7NRl6gRIYlBiF9ou8uf1EURpIBnF09oDFou3e6u/PDdT+iCLuifMBApoxPg4emBYXP7Q1BhDUHNy8mHVqN1dTMJgrjCaTQew2Q0oV//frjt5ttx/fzrkJCYwIUmbIhEQsy6Zpaz2kkQBOFW5Ofm4/CBo6jyroIqrABDUwZDLLcO4sKSgzG411BsyVqHdX+vx+KH58MdYR4ksbcvxPCtbrtdjSpPMQrL813mqWJ4eHnAW+jlUKEKFuJoLjfB6AKxii5lnpidOB8B0farUWXDVy7iXkxTmYH3p72fEXugK9GjJL8EMbIEDJk6gBtUjORRCZC+G4C0k+kYlDgEMnlttWGCIAjn5VTptPh+xQ98fvl3K+qtDwoKIqOKIIhOi0whR0hgCDJzMlF8RoWUOxKq1zGPQe9x3RG6NQIn045zj5A7DkgNahOOFh1AmCSiWsXOvh4cEc/30aud76kqLijCj2e/xvC40Xb34DRoVFWYXeKpYiGcDEcIorAQTparZSw38GfFHZ/htINZGBc1hYf3dRvbtXq5l7cnhowdiJObzkF92sjzrjy9nZvvRhBE56JRo4oZTedSzzi3NQRBEB0EsViEtCPp+H79d5gWOxcxfSNrre86LA4xsnjsyduGPX/tx1ULRsPdUBWpsCNnE0bEjkUXD/saHt5Cb4gFvnxeWej8AsDFRSUoNhagytuxYWtCqQBT46/lkuY275gzOXLmMNacWYnbU+6y+7GZETUwZBi8PLwuhXDa3xvWXlIPZPKpPESKgKjaYhTJI+O5UVWoLEDa0UwkDozjNTg9Pcm4IgjCiTlVdaEkT4IgiNrsP3AAFlMZBo8YCG9B7XdUQbH+SI7sDo8unti7/YBbdl1hQRGfymWOUUYbkTwWd/V5FB5lzh/Eliqt4goymdyh52GeKm8Pb+4Nc4VRVaQsRImpkKsQ2hvm/UpQJPPQOuapcjdYnteHP7yLDRl/Im5AVD2PZFTvcOQYMvHd6c+w5te/sX3zTiz7vxUoLy93WZsJgujERtWqlX9yBZ1uiT3Qq1sfzJu7APv37XdO6wiCINwI9nLp5LFTfFCmU+qRVngRYb4RiO8fU29bNsAbOKI/buv1APz0wW75YqqksIRPFQrHGFUShS/vB1fkVKlVVqPKT+FYo4qFlOVbcrjHT68ywNlotRo+DQoJtPuxmSIkC98sMuTzEFZ3I/dsATJV6VykghlVdfEReqN//77w6OKBc2nnsG/3AZQUK7F3J41hCIJwslH1xWf/hwfueRCxsTF48JEHcPsdt/Efp3nXLsDO7Tsd0ByCIAj35czJs1i7egN/2332wAVMi78WQ8NGI7JXWIPbx/SO5KFT2mI9VPnWwa87oVQq+dTf398hxzd5GLA9eyMupF2As1Gprf0td0J9otKyIp6bpiwudbqnRmvQ8uLNfkH2v4feIm+cVB7BT+e+QWmh+8mqH9h6mKsuhvpGIKpneIPbdB2UwGX1Dxw8gIjIcETHRqFH725ObytBEJ04p4q9Vf3ko0/wzgdvY9bsmdXL733gHrz68mv45ONPMWLUCGe1kyAIwuWcP2s1DlheRvH5UvgLA3n4V1BMwwPaqN5hyNFm4lDhHozaPxBDZw6AO1FaajUCAoMCHHJ8D0EVjhUfREJuIpxNpaUSMh8FAgIdYzDWRCKV8qmy2GqkOgsWbmgt/CuC2AFCFczLKJNaPX2F+YVwN/bvtobVJsUn89y2hojsEYpQcThOlBxGr8Re6D4s2aHCJQRBdF4a9VRp1BrodHrMmDm93rrr5l2H1Iupjm4bQRCEWzFjzjRcPWU8/2zZtA2pqnN80NaYyIMiVAZPkQcytWnYtXUP3I1wYQzmJC5EdEy0Q44fcMlYU2uc76WL903C4u53IDQs1OHnksusct2lpSqnK/8xg4p5Yhyh/sfwuxQayoQ/3I2TZ05wgZC+g3o3uk1I1yCESiJQWVWJA1sPkUFFEITzPVVCkZDnDZSUlHAlwJrkZOdAIpU4rlUEQRBuCJdK79cTFmMZtp7cBEuFBUu6LW56+z698OsJ4OSJk3Anyi3l8Cr3RpgkEopAx+QdBQZbjSqtTuP0ayszW8UIGvNg2BP5pbwttVoNZ8LqYo2MGM/nHWZU+VkV/0qK3cuo0hTpIKr0RZJ/D0R2bzj0z5ZX1ad7H+gtOlQou9SKxjlx9CTiEuMgkVhVKgmCIBziqRIIBDy87+477sGZ02f4DxALedm1czeeevxpXDXhqnadmCAIoiNQWVlZT2Qi/0IhigwFCBaFILRr0wIBCb3iIPGWIj0njdfKcReYmluOLhPpmotckMARSP2l8PHwgcGsR5mpDM4MizuQvwv/ZP5l9/pbTRkeGmcbVTUEQFhNKUcQEGg1jFWXhD/chbxzhegfMhTjoiYjPCWkyW2T+3dF3+BBMGRbqscyPy3/Fev/2oTNG7Y6rc0EQXRioYqXX/sP9HoDJk+YiuSEbkiO74Ybrl+IlJRk3PfAvc5rJUEQhIvYtW0Pfvn+d6hqhHYd3nUMZZUWBIlDEZJQ25Nfl9CuQQgUBaNIX4DiDOfm3DSFUW3EkcL92JnzD0QOKupqLR5rLQDsTAVAk86CfEMOCgx5TvFUxcbE4abudyFWcrn4rDNgfbrq4o84UXwYIqljjKqw8DAMCRsNhadj8u7aSsGFIm4gefl41qtPVZew5GD+DF7MvcAFY1idKn9/qyFcVFAMk8n5UvgEQXSi8D9GZGQE/vx7JbZv24EL5y/Ax9sb3Xv2wICB/Z3XQoIgCBfB8kj27znIvVX/rN+COfNm8+WH9h3m0/johGYH7aFJzKgKQalZiawzeQhJbNoIcxYGjQmmcgNEXmKHhY6x485NuhHeHj7cAJAFWwUdHI1Jy67NBKGnyCmeKomfLyQ+MpQbKlBVWWX3QsqNoVXqkKVNR4hvOAS+Pg45h3+wHy8A7FnpyY0YdxF5WLt+LX478RPunHg/PDybrg7D/s8dKdqPgwW7seTUfPiFyTHqqpGQKWQYMLgfvLyaHAoRBEG0iGZ/STw8PDBm7Gj+IQiC6EzIFTIMHNIfhw8exdgJY6qXnzl7mpeX6Nm3R7PHkPj7YmzyBAzRjII6Rwt3gYkcGMuNCBAFOSz8j3lPmNHGz6d1njfApDVzqW0/QYBTPFXMcDtedAgygRwWowUCX8ef0+ZlYUh9pQ4zdsRy5mk0obKsAmWmcviIvOEOXEy7wO9xQrf4Zrf1j5AjSBICFACH9xxBn/E9IBQKMGT4IKe0lSCIzkGzxX8JgiA6K97e3hg1bgRuu/sW+AdYw4WYSEVv6WDM7boYUSmNJ8jXJCjWGjpVnO4+4X+smKux3MDD8xzpqcrQXOQeAmbEOTOnig24BV5Cp3iqmOG2v2AXzpeecarxWFxoNarkMscVOGb38Nfzy7A5a63bFABm9zdXmQM/YQAiujav7sg8Wcldk/n8iWOnGt2urMx5eX8EQXQyT1VBfgFef+1NHD54CBpt7TesgYEBWLvxb0e3jyAIwuWIRJeNDpYXxcQXWD5VcHzTIhU2AmP98fXqL+BfGoB5mAF3QFuig6XSDIlIAk8vT4ecQyQTIFOThpMlR5w6IGehhsyTKPYSO8WoEkkEEHoKuSFn1jnPqFKWWOuMKS7JnjsC5sVk3kYWKsr6lZUJcDXs5USxsQiRkmgExbWsDllKryR4rffGxfT6hagNBiO2bdqOoqISLFwyj0foEARB2NWouv+eB1FcXIxZc2ZBIqktoS4WW0M6CIIgrjSOHjqG5O7JPESoLumnMrnnJUGRjMBGiv7WhW1XYiqGylwKvcoIX4VjhCFaK8c9I/56RES2zNvWFrx8vOArkqCiqgKlxc5TjzPrLVjS4274iH2azbexB0IpE+RgRpXRqZ4qg84AsZcv/AMCHOqpYt5MpbHYqd7Gpjh39CKM5XoEiIKrvcDNwfKqAoRB3MPFjMOa3tkzJ87g5PHTfP7IwWPoP6ivw9pOEEQnNKqYGs6B/Qew5+AuBAa27G0sQRBER+f82QvYuHYzdm/fi9nXz0RoWG255iMHjmJP3jaE+oXB169lxlFQrD/8BP68CDDzdPkqIuBqLLoyRMviEB7etBx1e5FJZLVC1ZxlMDJETsinsoX/CTxFUJtLeWias4gUx+LmnvcgOdEa2uYImDIk91RVGNwm/K8grQhdFd0QH5HY4py54LgADAodwSpUoTCtBDF9Lv8f7DuwD06eOIPAQH+kdE9yYMsJgriSafQVnodHF4h9xWRQEQTRqcjKyOZTlvjv51c/rOrc2XN82jUxscXiAAHRflAIA3gOU9qJdLgD+QUFyNSkwkNUuwaXvZHL5dVKis4iOzsbGzL+hLKsyIlGlTX8j4lkOAubTD0Ls3QUzDBlRpW5wgxtqQ5ugdYTE2Nnol/vlnuUguICECOLR4wsoV5pAxbuN3/RXEyZOYmPewiCIOxqVPn4+KBr167cW0UQBNFZuGriWMy+bgYmTpsAQUPhf1kZ8PLwRkKPxBYfUyD2QUSwNczu1FFrmJGrOZt2Bn+m/gxtpdYphXFLL+X/OIO8gjycKz2Fck+LU87nLfDC0MhRmJ24gMu5O4PKikocSN+LjRlrIJI5LpyUhU/GBSVgQMgwaJV6uAMlWVajyD9C0ar/g0I/AfL1ObhwMrXeem8f91A1JAjiSgz/M5rQq3dP3LrkNixavBBR0VH1ErdnXTPLGW0kCIJwKgldG5ZpZqFdBao8+AsCEBzTujyW+MQEiE9KUJDrvDC4plCprTlOwSGODe9OTkjBDSlLESp2XsijWq12uIBDTZjHMjggBAaV83Kq2Hny9dm8TpWj1BttdIvtgRCvCFSaHOvVbAlmvRm/HF7Bi2+Pj/ywVfsKAj3x6+bvYJbrMA+Nj1/Ky8txaP8R9O7Xq8G8SoIgiFYZVVqdFiuWf8/nP//si3rrg4KCyKgiCOKKoKKigk89PZtWwSvKUEJpKkacLBGB0VYPTEvp1iMFN1+8G75wfXgR83Jo9Ro+HxQW7NBzKQJkXPq6XF8JZ6HRWq/N75IMvjMweuhwquQEEktqv4B0FCZWvLnCyEUkxA42qpjRVl5ZDq3S9XXWlNlqlJpLeI5iazxVjPiUOO5lzszJRFP55N9/8xOUJUqoVWpcPWW8HVpNEESnNqqY0XQu9YxzW0MQBOEC9u06wAUqWMhfXWGKmpRkKLEg5VZUVlUioIXKfzb8Iqy5RfpSA8wGCw9HchXMy8Hyu7w9fKAIlDlcGe9E8REEGoNQVVXlsCK1dV8KMvyDWneP2kOhKZ/XchqYP8Bp+VSseDPLd3J0geNiSyE+PfYW5ktvxHWYDldSmFEMjVnFX2z4R7bOqAqMZoIxASjSFNZTALTBPFOBQf7cqCopVvIXLs29bCEIgmBQMQaCIDo1pUoV9u7aj6LCYmzduJ0P/BujJEsFX28JggODWy2Lzt6qHy3cj7Vpf6A0xxqe5iqMaiNMfEDuuMK/NsRyEXbm/oNzJadQZiqHo6mqrILBaEAXdIFfgHPC/2oKcqiUzpGONzBPVbkRQk8RRHLH3kOmisdQqZwni98YZ4+fQxWqECAJhDTAt1X7BkQpuNe01FSCkqzGc/zGTRyLq6dchXmL5pJBRRBE24wqs9kMVWnrfjRZgWCCIIiOilwhw+hxIyAUCTFh8rgmPSkHDxzE0aIDkEW0bjBn81TpynRIVZ/jb9tdiUFtQu+gARgRfhU3ehwJr3PkKeQGgE2tztE1qoaFjcEdvR+CWOa8UEvFJaVItdoaeuhomCBGRVW5U8L/gkKD+FStcb1Rde6MtXhvdGQ0uni0zuvpH+XHjSoWNpl2KqPR7SQSX55P5QyvKkEQV6hRpdfrMWbkOLzz1rvIy81rcseTJ07hiceewnVz5jm6jQRBEA6DySn3H9wPt999CwKCmhafOHjqAHbm/IPAqNaHlckCJfD3DeBv2c+dPA9Xe6rCJVGIVyQ53MvBJLnZwJ8NZJ1hVNnqRHl6eDk8LK4m/v7W/C2NzjleSFaIlxU4HhczmRc5diR+gQp4dfGCzqhDRbk1/9BVlGsqECfviq7JXVu9r1guRLewHrg6Zga0BYYW78e81+ylM0EQRItzqvz9/bH8h2V48fn/4IN3P0TvPr3Rt39fhIeHQSwWQ6PRID0tHQf2HUB6egamz5yGH35e0eQJCIIgOgLNSSqXmctRWFoAqY8cQVGtU/5jsLfqkeGRQDqQei4NrvZUMWlpqY/M8SIHcuapEvH8H2cZVUcK98PLwwvzpTPgLGz5WzqdzmnhfzZPoKM9Kvweeol5Hp5RY4bE3zViKyy0U24JwNS4OYju2npBENZPSSlJ8D0lg6GwZc8ii95hxcArKytx3Q1zyHtFEETLhSp69uqJn379AceOHsNvv/yOPbv2ICM9A0ajEVKZFMnJSZgxewaum3cdIiOdJ5FLEARhT/btPoCU7kmQyVsm1KDK00BlVkIh8INfuDV/prXExMcAu4DMjMbVx5yBXmXAb+eXo1/YEHgLvR0f/uclgspc6hSjyqg14YzyBHy9fSGQONFTFeyHGfHXwU8YyA1wVrvK0QWON2f+jZHyMXA0zPBO9u/B8wmNGqPLjCpNkY73LTOOWitSYYPtd/TgMZhPM0/V1Ga3P3nsNDLSrP9fz5w6y1U8CYIgGqLRX33mpWIfG+wtDQuTIQiC6OicP3sR2zfvxJ6d+zB77gxExzb/1rs4S8lVxyIlsW02quKTYrlam6ZU5zQlvIYoKijmYYhyiWOV/xgiqRCDQ0eioqrCOTlVOjPMFUb4CwN46KGzkMh8ES2Lr26Do42qvLxcnFIewxDPYXA0IrkIQ8NGV4cduorSXDW+O/0ZYmQJWBwxp03HYP93/0r9FcEFYXii7D54ejet7Dd4+CCex5XQNQ6JSQltbDlBEJ2BFv/qk0FFEMSVQklxCZ/6+PggJLRldZounErlhoGf0B/ysLYZIywX65ae91aH4LVWQdBeFBdahTLkcser47FBa4hfKCzGMid5qswwVZi4d0zoRE8Vy9/K1WVx1UHWBkkrlelai7LUql7n5+f4Wly2vDv2IsAWdugKirOV0FhU8PbwhjxU2qZj+IXLIBf4QWUqhbpQ22ytK29vLyy+dQG8vBxrJBME0fGhXwmCIDodQ0cMRkxcNCxmCwTClg28vYzeWNTtdgSGBsCrmbfbjSEPvWyMqfM1LjOqWP0dhp/COcVxLd5GnM05i+SiOIefS1eqQ3llGYTeQng52FtUE2bA7cj5BwJPAUy6uxx+Ppu8eXPiKvYK/9ubtx1HCvdhgmokXMXFs6l86i8NaLPBrAiXc6Mq35DLSxu0pIAwGVQEQbQEiucjCKJTEhYeyg2rlqLK0/LBWERceJvPqQiV4qzyJP68+BPP0XIVSqXVqAoIdPyAnFFgzsPGzNXIycl2+LlKiq0eHImv1KnhlcxTxQ2qChNMWscrxWm11ucnKCTQ4edieXfe3j4orypHSaH12XEFGalWGfTw0LA231tFmNVTxQzvtDONy6o3hslkxo4tu1BW5viaawRBdCzIqCIIolNQXl7OPVNtZd/RvThdcrzN+VQMFhJmrDQgU5uGzItZcBVyTz9eoyoqqvUKam3B5hGzGXOOxLvKB7f2vA+Dk4bDmTCjioUcmplRdUnW3VFUVlRyeXOPLh5c7twZKKTW574wvwiuIivL+n8mOqblL0Pq4iP0RmhgKJ8/f7p1pQ00ag2+/vRbXix8z469bW4DQRBXJmRUEQTRadT+vv58GS6et4YQtQaWD3QwfS8OF+7lRXzbioenB0KDrAO61HOtb4c9YHkxojJf9A0ehJAwa1FXR+MfYDWqSltZXL4tWHRl3LhhRZ2diUDsA4GXEOZyo8M9VSxnixnFt/S4l4tIOAOFwmq8lRS5rnC1h8kL0dI4xCTEtOs4yYkpGBc1GYKy1qkYMgVkW7ilRqPl/5cIgiBsNBpwztT+mHudKooTBNHRYQOgfbsOoKKightX8YlxrfptY6pjTE7dXxjYLk8Vg3uHDgMZGa7xVDEDUW1QV8udO4PLA1HHF8bNyE7HgYLdCO41Bc6EGcwSoQSWSguXrHckTPCDPb/MiHN0nbGadSxrirw4G4vBgkifOEQmxCEgsn25gDEJUdCkGlDRShuf9fmEyVehuKgYXZMT29UGgiA6kaequLgE40Zehc8++RylSmuMOkEQREdEKpVgysxJkEglmDh1QqtfFpVkKaG1qHkuRnuNqjhWqwpAbn4OXAGTxN6VtwW/nP/WaV4OW96PRuf4t/vpOanYm7cN5Z7Oz3npFdMPk2Nnw6BzrEIeqxXFRCNYfp6zDOOQ0FDEybrCo9w1+laqAm31vCKkfV5I9n9YbVbhQtp5VJRXtG5ffwUZVARBtM6okslkGHvVWHzw3ocYOmg4HrrvYRw8cKixzQmCINwWZkQld+uKpf9agoBA6xv31nDhdKq1rpNQAXlI26ScbYTEhEDiLYNea+C5Mc7GoDbCVG7g9bKc5eVQBCowJfYaJMhSUGZyrLHDDLeaIYfOJCY8BgmKZJQbHHuNRo0Zx4sPIU19HkKZc2TjI6MiMDV+DoK8w+AK1PlaLDv1CfbkbWuznHpNBcDNWX/jn4y10BTq2nUs5v3W6/TtOgZBEFe4USUUCvD8S89h36E9eOGl53Hu3HlcO2supk6cjhXffQ+9nn5ECILoWHh6tk0KPfV8Gp+GhYTxMK/2wIyyG7vfiWFhY6Atdv7vKAsdM14yqmz1hxyNWC5CvCIJCoGfQ2tVMS+YTm81qgKCnaNsWAtBJfJ02VCWqJxwD408d8xZhjG7h7ZzuyKXKC8tHxqLGp5dPNv9YoMrAPoooDaXQpnT9ntVkF+I5V//iFW/reEpEwRBdG6aHR2IRCLMv2EeVq9dhT9W/45u3bvh6SeewdABw/Dc088jJ8c1ISwEQRBNwQZ+/6zfgsKC9quVBXiGYH7yLeiZ0rPdx2IDQlv4IatV5YrwP2ZUCZlR5aQBuUgqQJGhAPn6HIcaVeXmchgtRnh5eEOqkMDZsGv87cJyXMg459DzaJValFVaIPYWw0fsA2fAnpVfzn2LzelrYda3XUWzrdiEXYL8guHl49Xu8D8WymupNCPzXNtl/tnLlqKCIuRm5+Hsacfec4Ig3J8Wv3LVaDQ4cvgIjh45ygcEgwYPwtbNWzFu1His/Xtdi1zk773zPsaPuRrDB43g4YRFRS0f7Nz7r/vQr+cA/LX6rxbvQxBE5+X4kRM4fOAoln/1AzLSMtt1LEOxEQGiIIREBbe7XawAcKrqHNak/gplruPV8Oqi5+F/Roi8RG0uoNpamEdsZ+4/2J6zyaFGlUln4dcm9BRyiXNn43cp5NDRghxFBVYFPqlE5jQxKbFciLLKMp5b6Mh72Bjp6db/wxEREe0+lo/IG8H+IXz+wpkLbT7O4OEDERYRirETRiO5W1K720UQRMem2dc9x48dx/JlK7Dy91UQi8W4fsF1WHTjQv7Dxtzdn3z8Kd596z1MnjKpyeO8/uob+PXnX/HuB+/wgpPPP/siliy6Bav++qPZkJxvv/4WRYXFKC0thbkddWYIgug8sN8nLy9PyOQyRES1vWAvS2Q/cuEQqiqrMDp0iF0Gp8YqPdI1F5B+PgN9p/SAMzGoDBgYMhxRgTHtDmVsjZeDGTpai8bBRpUJIyKu4rWiXGFU2Yopay/ldTmK4kKrAp9c1j7RlNbARE2EniIedsjy8tor2NJacnOtUTExce2TU7cRzoyzk0DmJWOtLbCxy4IbryeVZIIgmjaqdDodFs5fjKOHj6JPvz74z6svYfrMaRAILv+h8vDwwLVz5+Cr//u6scNUH+urL7/muVkjR4/ky958+3WMGjYGmzdtwYSJ4xvd9/Sp0/jog//h15W/YOSQUU2ehyAIwkbfAX0QExcNi6UMXl5tDxfSFulxuGAfiyeEIuTudncw8yyEhoYCGUB6aobTb5hZZ8HA0OHwj3RO0ViGSCrk4YbMi+RQo0prhq+3hH/YOZ2Nf5BVBIUV5mUiJI4yWuXefrix+12I72ofA6MlsNwtlodXZMznIaTODuXtYvJChCQGUXHt91QxEhLjMfrk1VB0aV/uHZWdIQjCRqO/+BaLBYmJidyTtHL177j2ujm1DCobgUGB+G3Vr2gKZphZzBaMHDWiellUdBRiY2Owf9/+RvczGAy456778PyLzyI01OqqJwiCaCl+/n4ICW1fyJ4qXwONWQWZQMFD9+xBRGQkn+ZkOT8nVV2ihancBJGTVOMYnt6e8BX68hwWbWn71NaaK4p7uuQ4cnVZTgttrIncT8qFFMzlJph0ZocWOJb6yOAX6ETDWG41qpinytnhf/pSIxKlKZidON9uHrLQ6GD0CuoPT53AbsIbWo0Wq//4G1qt455xgiA6qKT6HXfdht59etdbV15ejnNnz1W7v6OirAOExigoKKw2wGrCvhdeWtcQTAhjwMD+mDKt5UUcjQYjlCXK6o+q1Pk5CwRBuAaD3mD3AU1hVjEM5XrIfOTtVh2zEZsQzaf5hflwNifOH8P/nXgPefq2J+i3BZb/wygpKHGop4rlbp0tPemS8D8W5jgyYgKXVWceQUdxIfM8jhbuh4fQOflUDKGvAIHiYISIw6Arda5qpabwcjilvJ01qi4fRwp9mRb5qjy7GIls7PHNF8tx9tQ5bFz7j0sUEgmCcC2NxsQolaW4Yd4iHDiyr1XrGsL248LCBWvi6eWFyqqGZUhXrfwT+/bux1/rV6M1rF29Hn/8/Ge95VmpedCUuIcMPAsLST+X5epmdAqorztXP+/ZvReFhYXo3bsXYuNi7XLMo/uO86lC7I/8vEJ0yW//QNZHKIDAUwidTo/UUxnw8PJwWj8Xl1iNGpFI7NR71jUsGV2MntAWGxx23pzUPJ5Pxfo2L7sAXTzadq/a2s8qlRo9A/vy+dRTmQjQO8aTdC77NHblbsWsstlOvYf9YwajR0BfFGaW2OW8Le3nrKN5WH76cyT5dccU3Vi7nNtYZsKWrPUoNZfg+n2z4B/T/nsVGRGBixdT0aXKA2lnM+uNeTr77/OVDvVz5+zn2KSo6vk2JRqYTSYutd5S/AOscebMcxQWfrlwIPvevXu3BvfZunkbCvILMHLI6FrLmZz7j9//hB9+WdHgfpOnT8SY8Zdzr5in6oUnXkFUfFh1O1wNexhq3gSC+rqj4w7PNJNOt5V4sFRY7NaekhKr0lpERCTikq0epvZiLrDg1p738XwMf38/KFoYVmiPfrbVcWLeMmfes8SERHiqBBB5ixx23tObrBEUEl8J4lLafq/a2s8SoQSGsk2wVFrg5yd3yHUy4RS9SQ+PLh6I7Rrl1HsoDfDlHjhvT2+7nLel/Zx5MAcqs5IX4E4ZlAgv77bVm6uJn1zBvc+Z2jQIvQV2uZ7w2BAuIhIe6ZoCye78+9wZoH52Du7cz/WMKqPRiJ9++JmLS5iMJnzz1bf1Qv927diF+IT4Fp+kd59e/I3N/v0HMHPWDL6suLgYFy9cxD33N5z4/eLLz+OpZ5+oJck+qO8QPPH045hx6RgNIRKL+IcgiM5FcEgQ5i2ai13b92DMVVZBHHsQ5BWGuV0XIyU5xW7HlAZJqhPctUW6FhtV9hiQaw1adEEXBIbWDsd2NF5iT17HSVTkuLpKJUWlfCr1dU5/1oXlcW3OWssNgIXaax0W4sgL/3qKIVY492+dsqwYP5z5BvMiFmIqxjntvJmpVoW+AEWgXQwqhjTQFzKhApVVFcg4l4nuY9svie7j4+N2BhVBEC40qvR6Pd58/S2udFU9XwOBjw/iExPwwkvPtfgkAQEBmDl7Bt5/5wMMHDgACj8FXn7hFS4+MWnSxOrt5s+9AckpSXjhP8/D19eXf2oacwy2TC53zR9MgiDcm8joCFy/0L6DWZPSghDfcIREBdntmLJgCa9VdUF1BlMKx8JZ79yMGjNMvPCvCL4KsZPOeunc0OOnc19jkkfjL8Xai7LEalTJZS4yqqQCCL2EMBtM3PhxBCz/x1ZnzFnFm20wRcUSUxEKixvPhXYEOVm5fBoSbD/BKqbMGBoUCmQDqRfS4QjMZjNKS0oRGh7qkOMTBOHmRlVgYCCOnz7KPUkLrluIDZubL+zbEpgk+xOPPYkxI6xvt7p1T8FXy76EUHT5j4JareY5BgRBEK2SW3ZQAVSLsQwn0o/Cy8ML40Muq5e2F2bQqMtUOK86jZy0PPREMpyBUWNEhDQGEh8ZxHLnejmCQqxGqUarddg9U/gocE3iDUiOs59XsTUwL4rIR8zV/wxao0POYdSaYKowcsPY2bLxQcFW76ZK7VwBqLw8q6BLeETb6801RGRkBHAYyMy0f35GdmYO/lq1jr8QXnLbIoh9nfsSgyAI59NoThUzruxlUDEkEgk++Ph9lJWV8R+ZhnKyfvjle16ss8GGennh0PEDtbxXBEF0bgwGI37/cSVGjh3Oa1LZG3WBFvsLdvKipw+E/stux2UCCsGBwUAOkJnW9uKjrYXVF0rx78nnne3lCAj252GHRoseZaZy+Ii87X6OKlMXhEui6inNOhOJWIJKVEKtVDvsHk6MmcFFnoROlMVnBIXaDGONU89baQRXHYyOtU+NKhux8bEYFj4Wctg/35qNdZjEOuPUiTMYOKS/3c9BEIQbG1Usn2rFd99DLBZj9pxZfL4x2DYLFs5v9Qm9vb35pyGaC+vz93cPoQmCINyDTWs3Iz+vAL98/ztuWroQgZfepNsLVb6a16gKVoTarUaVjfCwMOAokJ3lPGlzg8aEiqoKXktJLHeuUcU8Y8y7wrwsLITNEUZVdl4WslXZ6CVyjuevIaRS63OiLLaGItob1ndygR+fd7a3UeYvhY+HD/QmHcot5fDyaXtR7ZZSXlaBKO84RCXFITDcvv+/Q6KD0T94CDyMHnYv1hyXEIuBQwfwXM+U7u3P1yIIwv2p9YvIcqg+fO8j/pbv6kkT+HxjsG3aYlQRBEHYi67JCcjMyEJiUrzdDSoGC81jSm5SVvg3WGLXY0dEW+v75RXkwVkwL8f/HX8f3fx74QHZLXAmIpZv5Cni+UDcMLBTza+anMg+ht1ZWzHX9xq4ioSIRAwuGIlKB9X+ZcWTT5YcQYQs2iGGaXMFgIPFYVyy3qA2QRZk3/8TDaEr1tcSeLEn7Bnkz6PJAH2pAdJA+x7fnoI5BEF0MKOKhfwdPnGw+nvNeYIgCHcjpUcyImMi4e3lmDfmqWfT+DRIEQRvoX0HsJEx4dxjVFpa6tC8sJqoStQoq7RAJBDZ/XpaMiDvHzKUezrsUWy1LhVlFTBwqXFPyP1dJ2aUEJOAylxPeJU5pn8L8oqwJWsdxned4pRnpibMuzkr0foyld1DZxhV2mIdVl38EYGiECwMmm13o4r1ZaEhD//Kv9nuRlVdKisr+T1z9n0jCMI5uEdlOoIgiDYikfhCIHRMbklGujXfKYIltNsZRYgMt/V6AIODRsGst8AZFOVba27JJHI4G5bDxfK54hVJDjGqTDqmbGiC0FPodAGHmvhIfHg7NCprPo29KSm6dA9lrriHl8MNDWrHCHHURV2oRZ4+B5YKs92NHnmoFDKBHLoyLYpzHBOuaaO4qAQrvv4RJ4+fduh5CIJwU6NKo9Fg96491d83bdiEpTffzqXR2RsXgiAIZ5N6IY0PUJxBqHcEV5NL6mr/nAj2lt/Tw+ph0xTp4AyKC60DcoVcAWfDDB1WlFllLuUKdvaGSZibK4wQeLnWqNKVa/B/J97D4dT9Djl+SYmST/0Uzr+HzFN1tOgA/rz4Ew8ldQYF2UUoryyDVCCHr599c8h8/cSQi/x4UeG0846RVWcwT/Tq3/9CQX4hNm/YCq3WOf/fCYJwI6Pqv6+8jvQ06w9NYWER7rnrPpSXl+Hbb5bh6y+/cVYbCYIgOExN66+Va/Hdl9/j2JETDu0VNhAyl5ZzNbngKPvna0mDpbxO1bbsDbwAsDMoLrYao37+VqEDZ+Lp7Ymjyn1YfvozaJX2v14j81RVME+ViNeLchUBAda+1el1/BmyNyxclOEf4O8Sb6O+TIdMbRp0Kr1TC/8G+gXaVUiCwcLwwkKsxXrTHVSrynaeCZOv4irGQ4YPgi/JqxPEFUmjv1Dsj8Gfq1Zj1jUz+fd/Nv6DgYMH4utlX+HNd97A6lVrnNlOgiAI5OXmo7y8AhUVFfB3sGHAQtTO5Z9Cji4T8hD75+jIAn1RZCjA8eJDKMlzbOiRDc9yL3RVdEN4mH3r/bQUmcTajyUF9vc0mrQmDAsbgyGho1xqVPkFW59LY5kRZcYyux9frbJKtQcGBcAVhrFEZA3BK74USupocrJz+DQ01DEFdKMuCcZkOViFkxUmv+3umzF42EB4eFDmBUFciTSa3a29VKCRSacz9u87gLHjxvD5hMQEFBY6t6I6QRBEUkpX/oY+Mz2LD1IcCatRtTt3C2RM+c+ONaps+Ih9oJD4AYVAVmo2BqMvHI2/ZyAmxs5EdLT9a3q1BPmlsENHhG+y8D/mVWQIJa4zqnzlvlwdz1xh4t4zdp/tSbQ4HjPir0NomGOMjOaQy6z3sNBJRpVRbUaAMMgheY2MmPgYDA4d6ZBaVXWhAsAEcWXT6OsSmUzG3FU4fuw4dDodNm/ajKHDhvJ1rK5KZKT17Q5BEIQzYW/o+w9yvAGiztdAa9FA6iOHPNj+8t+MkOBgPs3KyIKjYS/JmAy2Kwr/2lBcygNSKq15Qfb2LGZp0/k9c6VRJZT4WI2qciM39Oxds8mnQohoWTykAY5X3mvqHpZcCiV1NKFekZifcgviE2MdcvygyAAMCh0BX4uMK0g6C51Wh22bd1B+OkFcQTSpQ7zopkW4dvZ1EIvEiI2LRY+e3fnytX+txbQZU53VRoIgOjFMFMegN0Aide4gknmPyqvKuadKGuTrkHOEhYdVhzU6GouxDJvT1iJHn4mJ8lFwBQGX8oBseUH2RKVUc+nt4dFj7Z570xqEUiGvAybyFvOQRHti0piQp8/mBrKrDOOgwED4ektg0Dg+p8piKqs2TO1do8oGC+1lAipGswGaYh38whyvqlhUWIyflv8Kk9EEgUDA86wIgrjCjarHHn8UAwYMQElJMaZOn1o9wAkODsK8Bdc7q40EQXRi9u7aj4P7DvNE75Tu9lfha4y0Cxl8GhwQDE8vT4ecg9XYYhQVFsHRMAlsJh3tygF5eEQY+gcPhS/s7/kruRRSKPV1jFexpbB8roGhw/m8SWdfqXyDxoT9+TthLDfgPtkdcAVJiclY0uNu+Isdrz7IBFz+yfwLXh7emB04ySHnsNaqWotcfRZuK1joFKPKP8APcrmMG1XsQxBEJzCquGLNxPG1lrEEy7vvu9vR7SIIguDSw3t27OMvcw7tO4yklESnJXlnZ1oT18PDrN4kRxAeHYalPe+HwFuIyopKh3pYmAQ2G4yLvMQQy+0rTd1SQsJCMSx8DDyrPO1e8FhZbPV+yaSuK/zLEF0KPaysqrS7p4qFOBrLjVzhUOwiw9h2XkfUGquLtliPXF02/IWBkDnIW8yMKhbiq1edRnG2EjF9HZ/a4OnpiSkzJ3E109j4GIefjyAI50ASNARBuC1SqQTXzp/N3+xOmTnRqapZId7hXBAgoWuiw87BcrVYXSVUAfpSAxyJdUBuNapc5ali562oLIfRZECZqdyux1apVHwqVzi/KG5NvEXe2JG7CV8cf8/uOVXsHprKja69h3IRNmWswb7UXfxFgCPRFGq5d1XiI3VY+B/zLPpJrGGpqefS4CwCAv3JoCKIzuSpKsgvwOuvvYnDBw9Bo61dHT4wMABrN/7t6PYRBNHJiY6NwpLbF9vVq9EczItSpqrkggAhkUEOOw/L1TpXegoaixrqwlmQBkoc6qky2YwqueuMqmWnP0WEJBr3aG6Gj8jbbsdWq61S4woXG1XsORUJRSirtECr1tv/HlYYIfQSucyoYp6qLF06KlAJk87sUK9nTkYeKlheo0jusOvltapCw4BUIP1STSxXYDFbUFqqQkioVbyGIIgrzKi6/54HUVxcjFlzZkEiqf3H3ia1ThAEYW/qhoY506CyeQRSi87D28MH8hBrKQlHIAuSIFOTyoupOroAsE6lQ7gkGkHiEJep44mkAh66xrwtrI9Z6JW9CPAJxpjISYiIcL0yrVRivS5lkX0FOVTFapRXlkEs8IW30H4GaWtgBjkzzJmBzow8RxpVWWlWVcyggGCH/gbY1Ixzsh1bq6oxcrPz8NeqtSgvK8eNSxeS9DpBXGlGlclkxoH9B7Dn4C4EBgY6t1UEQXRa9Do9/vj5T4wZP8rhtagaQ1Oow86czVzl7L7g2x12HkmALyQ+Mh6Wp3RwAWCztgzT4q/lb/xdpY5nG5CzvCB75+SIKnzRM7CvS4ri1kV6qchxqdK+99Sss2By7GxEhLnOcGRGFDOM2T00aIwIgOOKcKtKNJD7+CE83LHFqmMTY7iAirTK8eIbDaHXG6BWafj8qRNnMHBIf5e0gyCI9tHoX1YPjy78bQkZVARBONNDtf6vTcjPK+CSw8oSxxoajaEq0PCQPJbALrOjN6UuzLgJUFiNgKw0x74lZ8pxDFeFjdnOzULXmBFpT6OK5fYUlRZBZVbyHBlXw5TdGKpSa56XvSg3VCBBkYzo8BiX3kObp8pW98xRBHoEY1H329GzW0/HnifcnwuoyMr9UW6xb65fS+ianIABg/th8vSr+ZQgiCvMqPLx8UHXrl25t4ogCMIZsBCflB5JEAh80LtfTy5Q4Qpy0/J4TozURwaZA/OcGMHBIXyanZXj0PMcO30Uy059CmV5IVyFSHppQF5hhNGOynhmgwX783bg13PfuYVRFRYajq6KbkCZfUPWCguLeJ0qT5Fzw2FrIr7kbayoqnSoAiB7waK5FBLLwmQdiTxUiorKCugs2upzOpuxE0ajR+/uTg91JgjCGeF/RhN69e6JW5fchkWLFyIqOqrWepFIiFnXzLJjUwiCIIBuPVIQERkOkcg1st+MtPPpl2tUeTumRlXN2k2MvNw8h56nqKgIGosKvjLHSFO3BNaXMf5xzHy2q9ohU9kzVZi4F0wocZ0nzkZifAImxs6EtIt9+/rUxRP47fwKJA1KgCvVDcfETsSo8gk8p8pRsFDHHWn/wFCmx8RAxxarlgVLsSnrL+TqMrGkYB78I1wTBliT8vJybmAx+XWCIDq4UaXVabFi+fd8/vPPvqi3PigoiIwqgiAcguxS+JSryMq0JsiHOTiXg9E1qSsvphoocmwukEplDaUMCnWcmmFL6B3XDzHiRD5othfMY2IuN0HgKYBQ6gNXI7gkBGJvSXXVJYVDV+aNsYE+y6vSleh5QWlHoSnWIUeXhcqqCofJqdtggikyHznOl+l4raq4/rVfIjsblou3+o+1iI6J5LmlBEF0cKOKGU3nUs84tzUEQXRK9u7ch4SkBLcQGWAEeIZgSuw1SExwXI0qG/6hCi6IYdSYeT6Hl0+ToqxtRqW1DsiDQl0rPMRyclT5GujV9vZUGXkOnEjmOg+nDW+RF74++RF6BPTFPWVL4GUnb6dWd8moCnHtPdRChc2ZG+GfwYydEY45R5EOOosGweIwh4f/MTVMXquqAEg7l4ZB6ANXsmXjdhTmF/JPYnIC99wTBOH+eLTGFc3CRwiCIOzJ2dPnsWPrbiz/6gekXbSG3bkSlstRqQbiFUkIjXZ8zRhpoC/OKI/jVMlRaIvtW9fIhsVUBr1JB4GnELIAxwlvtIRcfTY+OfYmjp87ZlcRDqZGx1TpXCnEYUOi8IWlwsJD1+zlrSpj99Csh5eHN+QBrvXkVvpU4LTyGLJzHCeuoirUQF+mc2jh35qEs1pVADLSXFerysaEKVfB11eMkWOGISw81NXNIQjCXkbVH7/9gUnjJyM5vhumXD0NlZWVuGPpnSgpKWnpOQiCINBU/qaHhweEQgFCwqyiDa6EFTRNL0pFkaHArnWUmsrnOKM8gRPFhx2WJM9yX5g3LMw3Er4K19YYVPjLUVlVaVdlPJPGhAEhQ5GoSOG1sFwNE8vgKocVBv482QMj88aVGyHihqNrrzEgwJ9PVaWOU+fMSctBJSqh8PWDQOz4kM7IS3nj2S6qVVUTqVSCW+66CUNGDOa/jQRBdAya/N/60fsf4ZmnnsPVE6/Ga2+8at3BwwMDBw7EF5/9n7PaSBDEFUyf/r1ww5J5mH7NVIjFrg/d0hRosT1nI3blbuYGjzM8VRJvGXRlWocVADaojBgSNorXqRIrXOvJCQyyDsjVGpVdc6r6BA1Ecng3l9XgqhtOxowfZgSZ7KRyyK6xe0BvDAkb7XJvXNCl8EOVHe9hXQpyi/iLgJAg57xoiUmIRu/AARBXuNYLWFOBmSCIjkWjf30qKirwyf8+w9fffolH/v0wxowbU71u8NBB2Lxps7PaSBDEFU5IaDAiotwjb0BdoIX2Uo0quROMKpb0LxVcKgCc75hBql5lqHU+VxIYYhXK0Oi0PNTSHqiVWi6H7SP1hjtg81RZjSo7eao0JkRJ45Ds38PleWO2vDyNVmO3e1gXVoiXCbgM7j0UziAwwh+jIifAvyqIh1q6W0H0339ahZzsXFc3hSCIthhVGrUG5WXlGDBoQL11fn5+fD1BEERbyMvJh1ajdcvOy8sogLnCzNXApMGOz+Xo4tEFgf7WQWrmRcfkcxhUJvx6/jscLdwPscK1A3KWD+Tt4QODRY8yk30KrV5Iu4BvTn2MTF0q3AHmqQr1jUCQOMR+RpXahBJjkTUE0MWeKl+FL89fM1gMKDM6xgCxhcIyT64zYKG+zEBkLzc0ha6pVdUQLOXix+9+QeqFNKz5Yy0PlyYIooMZVVKZ9QfmzOn6CoBnz55DZFSko9tGEMQViE6rwx8/r8K3/7eCDxTcjbQLVrGMIP8gu6m2NUdoiDUZ3VFvotUlGuTrc2CuNEHo69p8HJbz1FWRggBhkN2Kx6qUSj7193NNseiGjKpBoSMwPnoajHbKqWLy5T+d+wb783e6PKdKJBdicfc7MC5qMgwOqFVVVVmFnae2YmPGaqeIVNiMqk2Za/DDma+4t9pdYCkXQ0cO4fOJSfHw8naMOihBEA40qry8vDB12hTcsfQubFy/CUaDNXwkPy8fb73+NtWoIgiiTaSnZcJgMPI3ruwtrLuRlX6pRlWY88IRe/XojUXdbkeAp2PUBgtyC/hUJpNzz5grYV6WcdFT0DOwn92MqlKVNWzS75KAgqtheV0CX2tOjNlORpWyuJTXbPIVSRwmu99SfBUi+HgKeM2qmqGl9oIZkNnqDOTqshwup26DhfpKfGQwlOtQmFUMd6J7zxQsunk+rpo4lo/NCIJwT5rM6H32hWd4qN/Sm2/D2JFXoaS4BMMGjUC3bilYsHC+81pJEMQVQ8/e3TFn3iyMGD0MiUkJcDfkXQJwdcwMdO3q+BpVNoLDAyEX+EFf4pjQnqIC6yDRT+56Tw7zctiwl1Gl1ri+KO7/t3ce4E0dWRv+3OReJPfee8UVTO89lARCCASSENILaZtsspuym9528296JyEQIKH33psB44J775Zs2ZblJtv6nxkhY4NtZEuWrmHe5xES0q1zr+fOmXPOd26kSJqH365+qzE1OeU1tLa0hq4hCpK5dZk4X3mSiqBoGlJaoFHWQI0cbXmqeGY82FopwnALcnRf2uFGuKCMymAw+qffKQ8bvg3+2r4ZJ0+cwtX0qwrlv7hYRMeMuMVmGQwGo2+8fb3oi5NI9BHAD4GTh/YGMWTgeLUmBab1pmiVtsJYwyF6omrFgFzAAU8O8VSdLDuMooY8zG6YpPb2SJi6pFHSQ5WOCxiaGKC+TQyRUDPlR2qvbcfaWvdGlRnfFGWSYmSJ0yEdAqOK5FMRNUwXc3dY2WnHqCI4k1pVOdyoVdUfbW1tOHHkFEaOjoe5hXZyzhgMhhpGFSn2m5+Xj4DAAIwbP5a+evuNwWAwbgURtiGhft989S2uXL4CT28vrFr9MHz9fDjVeKSmUFF1IYxIgVUtKP8pISFOl6vPwcZYgAahFPYaNqpapER4wwb29grlPV1iakk8VXI0tNWhqUH9AXmrtA1OZi4Y4RAPCwF3Bpg2Njb0XXwt30tdamsVNaFI9Iiu4ZkawdzEArLONoirNK9YSbapKPxrBQstCVUQPDzdgRNAeVkZuIhMJsOzT66Bq7M7TIxNqMG+aOlCVsuKweB6+B/pwJfeu2zAvzEYDEZ3yCTMts07se6HP3Bq71lkXsrBxt83YuaUWTh88CinGoskqB8vPUDrVFlpofCvEkt7c5gbWUJKalWJNK885mLsQYUF/Py0F9LYFwZGBrAwsaAFgGur1S8e2yxpgZe1HxJdJsKEGmzcQCAQ9Mj3UhczWCDBaSzcXRVFanUJyaWysVIYjRXllRrffkVRBYwNTMC3FMDIWHs5RJ4+HgixjYRJu/a8Y6pSW1aHbf8+gOJzFcjPUahcplxOoXLrDAaDGwyqt2ptaYGpqe6LdDIYDO6TfDEF1VVC+nlM0CToWRpB0taAHXkb8ehDj2Hbri0ICQ8GF2ioVtSo8rL2pWpg2sLSzgKWRpYoahFqvAAwUVJT5i7pWk5didW1vCDhtftCXalxWacMhnqGMNOx1Hh3lPldynwvdTHrsESsUyJc3LhRz82Wrzg/YWW1xrdt0MrDqvBnYe+j3Rw5gSufKhoS2ppl1CPHBX78388o2FMJK/Ax3m0a5PWdKEzKw45zf6G8tAw/bvieGroMBoNjRlVzczM2btiExsZGqs71y09rb5p1Pn3yNHx8uRW2w2AwuMmHb30EyPURF5wAm04BYlaHIz+J5CwsxqXqs0j9K4czRlVlUTVaOppp4V9tqY4RiFKclZk1msVNEJVrJlysuyfnQsVp1LfUYqb1BHABa2uFl6NGqP65EoNxU/YvsObx8bDVveAKdk52VDZer01PI4ZxTU0t9OR6Oi/erMTOXpG/JhRqXilPWSdKmyG4BBtHK5qjR4x04rW299J9DmJGSibeef8deFr5YpbvQsTMC6feuwt/GSHWcRSSzl9E1uUcBEWzdAwGg3NGlVQqxccffkKyf69/7oYxjwcfP1+89a83tHmcDAZjGLJz826cv3KO1uzhezjg/k/nU6GC6Llh4L3Pg+UpKxSfr0DWiTwEjtW9EmBhbhF9t7Ox16psNZlltrd1AMqA0iLN5nOQOkKV0lLqHeSKp8rZ0QluFp6QNck0YlSRgriOps49lAV1jaXAAkuCHqKfZS0yGJkYqZXrd6r0EIoa8jHPZhq4QIBfAFaEPAFXM2eNb/tC+llklmUgbMaz0CYk5PdoyV4UNOTh3qq5nDCqXnr8FehBD2NcJ2PmmgkInaQwntwjXCB7vR0jHBJw9ucU1DXXISZ+BIyMuOFdYzDuRG4aNdjZ2SE14wpEIhHuW3Q/DhzZp5sjYzAYwxZSh4pEo/z7jXdgYWSJWJdRmP/3adSgIpBaSTOeG4+KrCrkF+fjhTUvYdOxdTA11+2gv7hIWaNK8wPFWxEbGgfLVj4MWxT1jTRFk7gJTTIpzAzNOWNUkQH5vMIl4BsoPFbqIK1vpkaViaEpLbrLFbp7lJoaWmCthlFFFPaa25tgamjGGU+VtZ0VLHiWaG5o0+h2Ozs6kVeZixxxBvhO2hXlsHKwgJmRBZrbpRCW1MAvQbcKpQe3HkFaYQriHEdj1Oy4LoOK4BnpigkrR+LYL2chMi3HqWNlqBHVYtZd01koIIPBNaEKYlwxg4rBYAyUjo4O7PhzF779/Ec0dUqplyrxnljYefac9TU242H8QyOpClxaRTK+/eBHnTe2Zac1JrrPRICfv9b37eLhDFtTezSJWzReSLWpXQozI+4YVWY2ZvRdE3LcRGpcDjkszCxp0V2uQPK7TpQexJHiPTTvSx1ILahm2TWjiiPXkNSqShVdQmZ5Gtrb2jW23cbaJjS2SqjBpu3wP56JEexsuFOr6j8ffg4jfR5iPEZi3MqEm34noYC2bnyIJIrcxHpxPU3RYDAYuoE7TyAGg3FbcDUtE6UlZWjvaEdUWDQiPKKRsCiq12WDxvoiLjIBlkZW2Lh5I52l1ikSA4TYRsDFS/ueKnOBGTJqUpGVn0nzOjQ5SFUMyM1hxpHwOBKmtzHrF5zMOYKO9g61tiWsvFYU10r39Zu6Y2ptivq2OlQ2lVPDVn3DmFtGFalVlVx9QeO1qhQ1qhpgYaS9wr/dcXZSCIEUFShCgXVFRU412iUdiLCPwdhFCTDv5bobGBpgwkOj0J6lj9NnTiH7Ug4L/2MwuGpUVVVW4YXnXsKksZMRGxXf4zVjykztHSWDwRg2hEWEICIkAh1iwKHGAyMXRoNn1ntIGwkDHLUoGmF20SirL8G+jYegK0jR3TJRKepbxbDS8gy5MkmeSLlnCFNpHpSmqBWKYWJoBmtzG63mifWHBd+MysfXtdZ2KRMOlo7mTgQLwuHmqHup8e4QA9bUwBTN7c1qX0+puOla+J85ZxQOySDfzNCMhso1iTVnVBH1S5L/R9QwtSkWo8Td042+l5WXQ5dc2XUVkz1mY7THRIyYE9rnct4x7ggLCUdJRim27t6CthbNhmMyGAzV6fcJ++xTa2hu1byF82Bh0bNzMzNThG8wGAzGjaILbbly6F01hhvfvd8BASFgjA9GeMfibMUx/P7TBsy8b6pOGrS+uhFHSvbCQM8ADzss1fr+Sa0qS54VnaUnA8veZqYHg7xFDw+GPQkbFytwBeJtIV4XEpYoFTerVbTXRG6GSR6z4OvjAS5B8gdJnldLexOa6prU2lZjrRSR9jFw43uqJXih6WtI8o9EzdWQqnl+3ampEKO9UwYLYytYCLQ/zvD09UQgPwzGbbrzCErrm3B23wWY61sheLxvv3l0pL8dtXgETiTF4FDxLmz4bjOWP3UfrlxKoaqqPJ5mczQZDMYgjKqWllYkXUjC2YunaX4Vg8Fg9EVrayuN5Tc0NERNZS0++OEdjLBPwKwZM24pHmBoZIBRc2Kx/2ogGoVSOoBUZ5A9WBqqSI2qBnhYemm18K8SEupERD3IMZAQKCd/e41sl+TjELgicKA8FpLjRbwvaofGXfN0KUVQuALJ77Iwt4RcKIeoSj3p+NbGNoxymQAbZ+4YxiSnihjG9BpqMPyvRdyK1RHPw9zWRCc5crYufEzxnK04lsZWnYifbPlpB35O+QqzvO/G8jkLb7m8f6I3Ir1H4GTZQWzZvBXWzlbIzc5DcWEp5i6cpZVjZjAY/YT/6evrwczcjBlUDAajX2QyGU6dPIU/12+lqn8/fbYWxQ0F6JR3IGpWiEqtFzLRH9O95iHRZSIyj+fppMWrS0U0lEnbNaqUWNqaw4J4qtokkIg0VwA4JTMZ+wu3o52nvny5xj1VMvUH5CeuHsF3Kf9BhyH3EvRtbWxhxbNBnahOre1IahrR0dnBKcPY2IIHc54FZJ1tqK1S7/y6Q7y0xPti46i+MuRgsHZQ/O2T9lbWy9I2u7bvhr6ePsICQ+Hod+tJbWJ8Rs8MxxyfxYgzHYMOmSJPsaG+AW2tLByQwdC5UUVcxv7+/tRbpUnq6+pprtZAICGIxHPGYDC4x6ULyRCL66g4RdqVdOzet0chox4dB0df1bzcth58OFxb9vKBNOiCvEyFMecgcNRJiBXZJ99CgLbOVlSVVGtsu0VlRcipy6B5TFzKNxKY2MHa2IbmC6lTFLehsYG2mcBe9zWFbmRkaCKWhzxKQxTV4XLmJXyd8jGqWyvAFYjhE+83CvcHPQJZo+YM2uSrV3C89AAMtD+vQbF2sqL7/+XqV6ivatD6/uurG5CSf5nWcYuaEq6yPHr4tCA4WbjAyMAYtm2OiB0Zg3uX3QNjE+6UGWAw7tzwv+YWhEeE4eGVj2DZ8vvh7tEzCdjU1ATzFsxTeUd14jo898wanD55hhpsDg72+Oz/PkVkVGSvyzc3N+O7r7/Hr2t/g7yzE5LGRsQnxOPdD96Bu7sikZTBYOieuJExKC+phIGhHmxM+CgQ5lLFqvCpQQPaTsgEP/x5bAPy0rOw8NWZVCpYmxTmK9S+XF1doSviQ0bBxdgdbfWa8SoRFcG6BjEtHurk6gCuQGbWx/hPREzDKLVEHFqkrWiWSWFsYAILvvZDRlVRACQ0NajnjautFdN3O3tbcAkHRwfIJfpqi410J7c4i0q1Wzs8AV1AalWR+4l4ratLRPAf5a3V/e/6bR+kskZaiiJ4vJ/K61k7WsIzyg0HDx/AuW+OYdOpdaxeFYPBFaNK0ijB7+vW08/fffv9Tb/b29sPyKh65eVXUV0lxIXL52BuYY43Xn+TGmzHTh2BufnND8OiwiKao7F7/066r/r6Bjyx+gk8tupx7Nq3Q/UzZDAYQ4q+vj5GjIiCu68L3n3uI1ozyI8fhMAxvgPaTuAYH1qnKUV0EQc2H8GS526dS6BJzDusMM51Kvz9VR/IaBoPDze0VXRAWqOZQSrJCZG2NdJQO0tb7eeJ3SoEkAzG1Qn/I6pzJKeHFDY253MnNE6JzKAFu/P/QrzBKAALBr2d+gaFUeXozB3DmKBnIkeaKBnGRZrJfZK1yCBuFIOnbwxHN92cK1HItOc7AFVAfk4BRiNOq/vfu2cffU+IGgm+y8DKBBBRiz92/46LVWeRfi4TYSODu35LuZwKDy8P2PC5VXqAwbid6LMnJIZMdn5mn69T506ovJPqaiH27dmPp599EtY21jSZ/cWXX6Deq727FR3IjQQFB+H5l9bQ4yBYW1vhwYcfRHpaOmpr1Uv6ZTAY6lEnrr+plhIxriqzhXA2d0VcYtyA1euIjHlMWCz9vH/vAa1eInIuehIjhNtHw9VbUadGF5jwjZEjzkBuQa5Gtietbeoq/KsLJbX+qOsQ4c/sX5GRnaGZ+k0cyjdSYm5tjoKGHJSLyga9jXZZByRNEqpKKXDkVoij3LQTx0r3IbNg8NewO5IaKRrbGmjhX6KGqStcnBV9QHFBsVb3S+5nN7kPJrrPQNSE8AGvT7xqfoJA+nnjT5u7+rYryVdwYM9hbNm4jaVSMBhDiFakddJSUukfdnRMdNd3fAEfvn4+SE1JVXk7eXl5MDU1hbU1m2lhMHRpUK37eQN2/LWLilQoIQaVl2EAFvovQ+gE/0FtmwwkHMyckZJ7Gc0SzYUU3QqS11NVV0FrJ5GcCl1hYWeO/UXbkVqUrJFCyKTwr6xTxklPjrGlMS2MW1k1+Dwh4uVyMnOBm6UnZ4ridsfe2Y6GXkqaGqhxNBia6xXeOGI4EsU9LuHs4kjfxXWamegkwhASWQMtLaALsRglHl7uOqlVVXCxBHxjW4TYRsInbuAlAohSYcLYOFo4+fjp4zTnkORkmZgolDE7OjrR0qw5pUYGg9FP+B/JY/r9t/W0BtX8hfPo574gy9x3/xIMJB7cht9TzYfPF6jsdSrIL8D/Pv8CD616EAYGBn0u19zUTM9DCfGGMRgMzXH6xFmac5mTlYeI0nJ4eXvS7y8dSKGTJ0QifbB5CH4JXvCy8sX5ypO4ePAKxixI0Mqlq6uUUGOGDEZWOd0PXWHnLKCDZ0lrPTWI1B1YEmPxbv9l6JR3wpxjnioHJ0V4l7hO8XwYDNK6Zox1m9IlfsE1LGzMr9XjakJzfQss7cwHZziau1JVSq4ZjnwHPgz1jagnjRiN5G9fHYjqZZNMChdzd1piQFd4+njA1yYQRq3GCi+2imIR6nJo+1GUSAoR5BUMB5/B5c8Fj/eH75YApAovIfN8DoJHBiAgMAACBz5CI0JgZsate4jBuG2NKqlUiv/99wvY2dth6vQp9HNfkGVUNapIWBCB5EgZG19XoiGz3Ab6t+6EKysqsWLZg0hIiMeaF5/rd9m9O/dj66abc65K8ivQUCMFFyAz0IXZJbo+jDsC1taaJ8AvAHU19bCzswVk+vReJu382fefQiKtx1N3vYDK8sGp15EBTLBrGM3LyjqVB7dQ7YTiFV4qRUNrHVws3CFpatTZ36e0RQpLIytaqyr7Yh7sfARq3c+l2RVdfbCwugYiEXdCp415imdBXUMdCrKKBzVwLc9XKMkaGhugrLiSc/1Gg0QCU0NSj0uKvNRC2LgO3AtamSGkwi+Eurp6yLPV92BqiqaWZuoFJSGm2ZfyYDZAb+iN7VycUY6Hwp5Gp0EnqiqF0KvSjjFz03EZdGKG13z6OSc5HzzzoS+gS9pi+6GtKGsoxthpY1CUUzqo7RgKDODLD0J+fQ4O/XkMpgJT6rGyFzjQshGMoYONN+7MdvYKcO/dqCJFfi+nXez6f/fP6uDs4kzfhdVCmHtfn6kTCoWIH9l/EiiRX79v0VL4+vrgy2+/oPlY/TFjzjSMnzy2h6fqrVffhbuPMwS23IhHJzdD94vAYG093PAN9qLvyoFw8vFUFNbkwc8mCKETAtS6v0dOiofFAWu0VLTD088NevpDP7BKP5yFdnk7+KYCBMX4aWWfvSGwsaG1qkTN1TA3Nb+pHQfad6TsuYrDxXswwjMO3kEDDycaShoKGmFsYIymtkY4uzoOqsjq6Y3n8XP6F5geOlejfaqm+mgzQzNY8CzQ3tkBGxtreAUMXLm2saS5y1viF+k94FzFocSg1eBaEWcpbKyt4RKgCAccbDtn7smn9ZlsnfjwDtTh/SrVw8WNabTdrS2t4OinmULc/VGYXIKS+kJ4WPkgelqYen3o6Hg4mbrATGJFt9Pb/ZyZnoU2mQwRUWEaOHoGgY3ttAOX21krOVVRIyJpLtTxY8e7vsvLzUdxUTFGjhrZ9V15WTmtSaWkuqqaGlSe3p74+vuvqBT7rTA1M6XGk/J1Y8ghg8EYGGRgUZBX2EOYggzwunsWTuw7hfZOGTytfOATq95gyCvKDR2d7cgtzUZ1QY1WLhdR+SI4OzrrzKAiWNia03ySRlkDrVejLmUl5cioTUGr4eBrQQ0VRFhCYGIPA32jQSsAVlVWU/lpUwvuhf4pQxJne9+D+X5LBn2OjbWN+CblUyRVnYapJbdqDpH7lShmTnCfQcNV1SUjMwOnyg6j00y3hZyJPDk5DmKw11VJtLLP43tPobWjBZ7W3nAPV89D7z/Sm/bPomIxakpuDq9NSU7Drm17cXDPYeRm56u1LwaDoWWjihhUjz6xGh9/+Cl279yN8+fO4/lnn0dMbAzGjb/uVSIS6+/9+wP6meRa3bf4fpiameHvr7+KivIKFBYU0ldbG6sQzmBoizMnzuGvP7bhyIFj6OzsPfTo7NlzNCE/IjASNs7qCT14RLkiveYKtuT+jlN7z0IblBQrQglurMeni/pNsb6jMM93CU3aVxcyMaUM1+YaJD9oof/9GOc2ZdAGh0ikMLptSSgqBzG1MumafCDKboOhulKEDnk7rQ1J7g8uQfL07M0caSHnxlr1w+tzCrKRLLwAExvtF9/uDsnnMjLg0bDGqmLNFeLuj5MnTtL36IgY8EzVO3+/kZ4QNlVi7dWvsO23nTf97uLqTIsCm5iawMKCW7mWDMZwpv9YOg3y7JpnYGVlhW+//h4tLc1IGJmA519c02O229XVpau4YW5OLs3BamxsxCMPPdpjWz/8/B38dFhLhsG4U5C1yZB5NYt+LikqpXmQ3fMi6TItMmQUpdNk+pBEhZyvOpDwpojgKJwoO4hjh45h4ZNzMNRYdtog0WUCfPx9oGu8vbxg0mIGaa36Kl3Ca55/R0du1TcidBddIIITg6FWrDCq7B2HPjxrMBgYGaBKVo4rZUkIqxicImZ1hSJvzMaae1EXPBMjtBg0oUiYj6iKgRX7vhHiCRfVCOln92vqe7qCCG44CByASqAgpxDjcD2iZijokHUgPS+NGqehceq1I8HSzgK+gb6QZjfiyKGjmHT3hB6/k3HWgsV3UcExvoB79xWDMVzRmlFFjCei3EdeffH9z991fY5PiKeFgRkMhu4w4hlhyQOLcWjvYUyYMu4mg4pQnFKOMNsRVOVsMDLAvRE7NgoWxyyRkpWC9rZ2WpBzqJC1tsOkxRwjHBLg6KH7wbmJDQ8F9bkwUkQkqoXS6HB1dwUXjaqMmlTk1WdiSt2YQW2jvl6h7up0Tdqbi7QaNCOnLoNGWwyGygqFp8TennuGMaGmswoHi3dhZEG82oWq65vraD9i68KHrnF2cQGuAsWFQ58QX5EjxAzP+TSUVd3QPyVh44LgfNgNaQUpaG28ObrH1e3m/WhT6ZDBuB3hViwBg8HgHESCd+7C2bC0suz19/ykYoTbRSPEORxuIU4a2adXtDtcLDxQLilGSfrg6xipQkOVBLUtIrS0N8NGhzWqlBhY6GF3wZ+4kntZre0QD6KkuYFKXts523LSy9Ekb0RRQz5qqmsHZQzz5CZwNneDwF73g/C+sLVVtH11lcILM1BEQmEPCXquYW+vmIiouOZRGywSoRSNMglVvySeFl3j4amYICorH3zhZlUpTS2HiaEp7Mwd4BqqmT6UlKcgOa7ilhqknEq75fLEePz1x/VobOSGSjKDMRxhRhWDwbjp4Zp2JV2lViEzmycOnEJrews8R7jRcCdNQIwzVysPtHa04syBc0N6heoqG7AjbyOOle7XaeFfJW5erlQBrbahlhoOg6VR3ISxrlOwIuQJKijARWysFMZQ1SAk+ElR3FC7KJqXxbUaXN1xcFAYHd1FmAaCgcyI1m7rzbPABZTqvtXV6hlVDUIJLSVgoePCv0q8/Dxouxs0G1JJ8qFk1849SBFehL23AMZmmpFvJ3Wugj0Uyn4nj53qd1mikkzyZoVVQmz5Y1sPUSIGg8HB8D8Gg8F9yssqaJ03kjslk7VjRGxkv8tX5guxPuln+FoH4K7Y6Ro7DiMTI8SPiIcRjNBW2YGhRFRSS2fIrXg2sHHq3RunTawdLGFhZInGtgY0iqTgu1oPajvS2iYaymNiaAILPjeNDoHgmlFVOfABefc8LKIkyFUcnRWhiaoWuu8OKajrZOiG2T73wMFV96GpveHqrjCqamrVU+psEDZiSdBDVEVUl4V/ldi68Wm7EyQ10iEz9EjNnWMXD6OhpR4Phq/U2HbJ337cuBiczA6BXKxP99OX0AlRSY5JGIFL55MxduJoFgLIYAwS5qliMBhd8IyMaB4VKRarSgLz3k0HIOtso7VVfGI1m1weFh8Mf34wavMlNK9qqMjNyqPv9jb21JjTNVbUqLKCRCZBg2jwCoDEqDpTfozmZ5lz1KhydFQYHGSGfKAQxcAdeZtwquwIp2o33YiTqyJsT9IoGbDHQyq+LlNuwVFvnJ2LHQ0xrZfW0ZBTdcJwjfSNIBAI1Fa/0wR8F8VkBvHaiMvrh2w/ZVmVKJeUwsXcDe5hmvVGkhzXqZ5z4W7ijcqc/v/GxoxPxAOrlsLLx1Ojx8Bg3Ekwo4rBYHRh52CHJcvvwV13z1bp4Xr08FEqpR4WEK7xEDO3MGcaDpRelYyKrKGTNc67VqfFw4MbgwlLO3MaAkU8VRLh4I0qcVU9LlWfRaW0FBZ23Az/c3Z1hpE+Dw31A68FRCTKq5sq0NLR3ENJkGtY2Vvi0YgXEO84Bs2SlgEbxjvzN2Ff4TbOhjha2ppjptd8RNrH0pDTwZKdmYNzFccht9RtjSolxEN8qfocvkv9D4RFQ1cv78Te09Q752zhDrcwzeRTKfGKcqV199o6WnH5SMotPVv8a55jJeLaOhqxwGAwVIMZVQzGHQ4pXdAd8mD1VUFavFXairT8FDiau8Anykvjx+Ua7IiChhwcKt6NC0fVE23oj6KSIvruxwE5dWUo2winOEz2mE1DogZLaVE5fedbCahENBdx93LD6og18DEJHLAXp0EkURhURuYwseBWUdzuEC+hob4i0l4qHph0PCmoK26pRYe8AxZ8bhrGZDKFeKr5JrZorBm8yEFWbhaSqs5QoRYuYGppAnMzc+qJz8lQeLOHgrOnFLX4wgLD6D41ibG5MRwCBPgp/Qv8uuHXAa1bI6rFhl83Yeum7TQcnMFg3BpmVDEYdzBEkeyHr35BYb7CsBgIFw4mo6ZZCE9LHziHaD7fg2fGQ3hwOP185uQZDFV9GIHcHvFOY+AZwA1PFZlZ9vX0h4eVt1qeqrIShWqZnR33Cv9293IQSL5HU8PAvDjlJZX0nW8toG3GZaMqoyYFFypP9QjnUwVipJACtOaGFpz1VBGjqq6lloaZNtYM3lNVWaVQ+fTy0/wEzWDxcFOENOdlD41RRe77nLwcmkMZFh8yJPsISPCFo5kLMkrSB1SA+vKFZDRJm6hwUVHB0MvKMxi3A8yoYjDuYA8VmYVslDRi2587IR2glK44V4K7fO9FhEc0BB5DU0AyJjEaPH0e0jLT0NGuecGK+ioJHEydEec0GgI37hTBNOHzUCIpRElh6aC3UVWuEH9wctJsSJGmB+TEO0HCvgbq5agoUxhVdtcky7lsVJFrmV6TPGCjSlRZoxBuMLPiRJ5Rb5jzTXG1NgV7Cv5CvXDgYZyE1qY21EpqYWxgAmcP7tQcUxYDLy4uHpLtCwtrMdFlJhYFrIBHxNDUkvOOcYenlTfqW8U4vVt1JdWJ08YjINgfU2ZMgl8AN7z4DAbXYUYVg3GHYmhoiBlzpsHIyAhTZ0yCuYXq4UUkVKv4UjncLb0QmRg2ZJ4CzwhXOFu4oayhCNV5ms9rqC2ro942WacMgkGq7A0JZh3YnvcHLl69MOhNVIsUiemu7tyU4laKL1RKy5BXn03zhwaCtF4KWxN7ODtx9/wIZtYmMOOZo7m9CY21AzMcy0sU3huBjQBcxcDQAHwrPuSQo7xYEXI6mMmNhrZ6WPKsYc0BBU4l3gFeMNAzRIWwnHqVNE1pWgXNZSIhrCSHdCgg0ur+TkH0876dB1Rez8DAAHPmz0RktCJagMFg3BpmVDEYdzAeXu5Y9cRKhIQHD1ix6kTWETr76Rs3dGFzpBCmi7k7HXAln0jV+PYr8quwIetHKuhg46z7GlVKPP08qABIlbBqUDVyyAAwwCwUK0Ieh7vX0MyAa8pTZW5kgSZZ44ANDlt9ByrBHRI8NGFTmoLIWNtY2KBT3omqsoEJrpBwLVcLT7g6uYHL2Nsqwn/LSgZpVFWSGlX1sCJGlSN3jCpbdz5VILXm8dFQPfhQ3L7YuXUnrY9n4WQ6ZAqWxGgLjQmmIYZJKUkD6k/Iut0h4YB7d+5HS/PAQnUZjDsFVqeKwbiDKMgrhJm5GRydFDLPBPL/gbJv8wGcrTgGK2NreMW4oapi4JLYqkASt0dGjKaJ8NISzT/Is9Jz6LuLvQsMedzpDm1dBVQBsL5ZTEPGBqqsSAQR9OR6dBvWjhzywN2AsTkPliZWtMhzTYVY5fWIzDURceCy1Hh3bAV2QP71kEVVMZdbYb7fEgQF+4LLODgq+pPKyoGdn5KGagkNgeuQy2hJAa5AZNUne8yin8VldRqdeCHGzdnLZ1EgzoV31NMYSpyDHZHoMhEmhqaozBXCOeB6/68qLS2t2PT7XxAJa1BVUY37ViwGj6eZQsUMxu0C81QxGHcImVezaWHfPzdsRW2N6gPY3jh29Dh9j4+J17hi1Y2ExgXBztQB5RnVGg/Byc9TyKl7enJDpEIJGbyRWXvioauraBjw+hJRI9JFycgRZ1CJdq5CZsKVoW0D8XK0NLbiTMkx7C3cCgsBd89PiYPDNaOjYmBGhzIkkqt1xpS4uiu8odVVgyt9UF/VQItUOzg4wsiYO5Mb/GtGFDHia8s0W6tKVFyLkrpCOJu7wTN8aD2RjoF2CLANoeHaBUmDE53g8Yzg4qoIUSTlNkjYOIPB6AkzqhiMO4TOzk76IgIVJIxjsEjrmpFelAZHM2eEjVbE6g8l7mHOqJCW4kzBCYiK1DMGb6SkVJGA7hvILU+AjZPldaOqchBGVY0Ul6vPI6cug7M1qpTY29lDH/qorlB9QE5U5qqkFRC31MDCltsGByE0MBQPhz0DV1PVjXcygXA88xA2Zf0CMz5363AR3H3cMMVjNpwM3QY18ZGTmYuLVWcAK82L0airQFrWUYQf0v6LzNQsjW770tEraJRJaM7oUOVTKeGZGcElyJHmjx7YdXBQ2yAF4afMnIS7Fs7GuEljbgoNZDAYLPyPwbhjCAkLogaVg6M9nJwHr7CVRKXUq6lins8Q5lMpcQ11RnFDPlWJyzifDQefURrZbluzDNXiapgYmMLDj1s5K8QzEeEcA29rf4jL6wc18y+RNcDTyqdLtpyrxITHwqJOADtD1WX5SUikVNZI87G47sUh2Nhb09CrprrmAYVw1rSIIG1v5Pw1FDjbIFAQ1mXQWw8whC8jJwNnK45jsuUkcA17R1u0prYiN0ezsuonjp6i7wGegVrxJhMVwC+2fwZpYSNebngWplYDjzAghpR/kF+P72RtMtTU1Kr1TGEwbheYp4rBuE3p6OiApKGnxHFEVJjaD7+je47R9yC3UNh7D70qGcmZ8fdQeMROHlYMRDQBMVb8bIJojSo+l5T/rg1egvyCqFFFlNEGSllROTrlHbC1tuVUrlhvWNpZ0PNV5kipXr+pkdZvGmi+mS4ght8VYRJSS5Mha+1ZbLu/EM7GtgYqMGBlbwEuQ46PiNaUN5ZAMkBBBxJaV1mtCIv08uVOjSolvv4KL3bxtSLhmoCcc3FeCZWQjxsVDW1AjCoPSx/UtdbizN7Bq4re+IzZ/tcubFi7CVlXszWyTQZjOMOMKgbjNqS1pRV//bENf/z2p1qhfjdCQnv4EkcsD3kMiZMStBYCkpAYR9XwklOS6YBEE9SW1sHL2hfh9tGcM6oI5namqGgsRVHewGvklBQp6ls52HO3RpUSkhN1quwILuVfUDl0rE7YQCXKzY0tYTaIGXdtQ0IwSZ2qbHE6GkWqqRw2CJVGlRU1PLkMEZc4X3kKewu3ob56YJMAJD+uTlpLPcYOHpovIq4uPsFe4Okbo1xYBlmLTGMTOuFWMXgo7Gl4RnlAGzj62iHQVaHyunf7Po0Vjy8tLqXGFRFBYjDudJhRxWDchuTm5KO4sAT1dfU4fyZJY9stz6hCq7SN5vv4xWtvVtkvxgd2po4oqSkcVDhcb5TnVqKupRb6Rnqc9AQY2Rjgr9x1OJ9+dsDrlpWV0XcXZ27XcCKQnKicuqsoqs9TuTiuqFwEK54N7G3sh6xGmiYh9xfxODW2SdAgUs2TU1dVT0McLXiWnM+LI95kaxNrNLdLISqrHbCcOskdtDK24ZScuhJ7TwEEJraobalBTUmdRrZZkqqoP6avp09zRrUB+TuJnxBLQ2aTrqg+gdEfzi5OWHz/PbRI8NRZkzVynAzGcIYZVQzGbUhoeDCi46IQGhGMsRNHa2y7ezcfwMGiXWjqkMAzSnt5SGTg4WLhBlFzNQouD9xz0xsXky5hXeZ3qDGqorWEuIaHrzsM9QxR0yCi+V8DwZXnhfuDHkFgcAC4jpUdMTis0ChrULkWkF6rAZaHPIoxEeMxHFDU47KkRpJEqNo5ispr4GDmBGdbVxgaGYDLkAG7vUChcFiUP7C/TzJJUt8mhjXPhlO14pTYegrgZe1Hr4WoWDNCOft27Me23A3otJBp1ZD0i/eEp6UPisUFKEpVeLPVxdnVCXMXzKLFgpUQzxWJlmAw7jS4HWzPYDBUhiQMG/Guy9xOmDKOvmsyRO/Q4cM0hGnprGXgmWpPUtfKwQLjQ6YgvnYsKrNEwBz1t5mXm0vfA4O4aXiQAaalsTUaWhUKgA7etiqtR3J2WuvaYGMigJ3r0Oe8aeLaWvKsUCkto0aVqwq1fCXXQujMh4HyH4EUdrU0tkRLR7PK9bjaJXLcHbAcTgHcC4nrDWcnZyAdKC4auFFFalTp6cs56TEmIhKjvMbRiY2aooF54XqDhC8nXU5CWWMx/KJ8oE28Rrgh1iURMY6jUHKlAt5DEHpIzm//roOoKK/CvHvmwNaO+30Qg6EpuDc9y2AwBgSZFTy8/xjWr91IDSslxJjSpEElrqhHVtlVOJm7IHysCiNfDULOI2CEL3gGPJSmKUJn1KG9rR2l1aUw1DdCQGhPNSsuGVXWPD4a2upQPwBZ9YYqCbJq05BXlwVrR+7N/PfmxbHkWVMvTm2lauFVZ1PPYHfBX+BZc9uD092TY8u3o59LCktVFqogcD2fSombh8JzXVE+sL9PcVk9DUlz93LnpMeY9D22Hnz6WagBo4oIzxQJC2Bv6gj/aG9oWyI+LDaEhlrmndeMx/9G8nIKcDUtE+JaMc6dOj8k+2AwuAr3ejAGgzHgor6Xk5IhrBZ1yfQOBef2XURtiwgeVr7wjdd+sVwSAphZm4oDV/YMOBn+RmpL61HbLILA2BYOPorBLtcgYUE2xnw0tNZBVCYe0KDtUvU5XK25Ahtn7uWo3AgZSNsL7CGHHCX5tzY42mUdKBEWoqghD3Yu3Lx2vREfNhIrQh4Hr001YY1TKSfwZ85vMLTkfs4YwcvPExPcpsNWz3FAYjLpaelIrr4AE1vuFpM1sTfCT2lfYO+JXWpvKzepAMKmSlqfyj1M+zmPpO8mXrIdp7egQc1+tNft+3tj4tTxsLO3xeQZEzW+fQaDyzCjisG4DepP+Qf6wc3dFSNHxw/ZfvbvPEDfowJH6CShnBTIJGp4RJq66Ip6+QDCohpqIApM7LpmobkGkUKP9IrBFM85EJepniAvrqyHhKjG8ayGhaeKMDpyLB6LeAFGbcYqeXDo+RlZwcZpeJwfwcHFnl4TaU2zSoZjRU0ZqpsqYO86PML/7FwECLWLgqW+NZobWlReLyU7GafKD8OSgyIVSjwC3dHe2YYyYRna1FQAPHXoNDrRCS9HX9i4aP/+9Yn3QJW0HJeqz+LMHs1Iq9/o2SP5vMseug/Gxtf/nkmNxJZm1e8LBmM4wowqBmOYQWaBuycBk4fYzLum4Z6lC2BmPjQ5Jq1NbagoroKNsQCJUxKgCwRuNvC094Gssw1nDp9Ta1vCghokOI1FsGP4gAuVapOQ4GD484MhqVJdFr+8oIK2ka2lrVbz3tTB1lkAA31DlYQqSB0kIjVO8rC4mIPTF2YCEzohcDUv7ZbLEtl1co5E3MKGw/fnjblxxNglhqCqtdWIkqhIIqT1mjz8XcFViAIg38QO4hYRatVUACzNraT9aPzIOK2VpOgO39kaYf6RPSbKhoLuwhWEE0dOYe0Pv6OstHzI9slg6BpmVDEYw4jmpmZs3bQDWzZuR2fndUlcIyOjmx5imqTwcimi7ROwNGgV/BJ0U6CTDEBi42Lp56Qk9WTixaX1tD5VdHgMpyW5Sf0sYVMVcrJUL6yZl5NP312dtafOqAkxgLMVx3E5M+mWoWOkfpNEpvBUDSejysbBGmfKjyGzMh1tTW239sbJJFSG3XKYnKONizVOlx/BnoItKpc9aBRKadFgYmTwXbhXK04J8WYTrzbxbgsLawa9HRJu59DpgvuDH0FogqKguS5InBxP89guXb2ktudNFaoqq3HpQjItRn/2JMuzYty+MKOKwRhGXLmcivzcAjrbR/KotEXOmQL6bmZtCudAhXSyLogcFUYHA7llOZDW3TqMqi9yMvKoMAJXQ/+U2LrzsTX3d5zOPk69hapQXKxIQPf00n7e22CxdrJCqvAickXZ1HvRH0TMgtT3sTa1offjcIF4ckh9NyI80nCLAsD11YoQx+HkjSPS+HxTARplElQWVqu0TqOwCXXUqOJzsgB3d6Pf0doJbZ1tyLyi+gTHjRSlXPfSeEToroacb7wXPCy9UdJQiNzzir59KHF0csDMu6bDhm+N6XOmDvn+GAxdwYwqBmMYETcyBi5uzgiPCkPEiAit7LOjvQNfrfsC2/P+gHesbhW63MNd4GzuRouolqYPTgWwRdKKg6l7sSHzRzj4qiZTriuI0Udm8cWttagtvXXYEfHyuBh4YXHASgQE+WO4YG1PZNWtIWmrv2UIYFNNC1aGPompkTM57WW8EaLiZ3VNIv9WtapEpTWwMLKAvYUjzAXDQzaeXAsXJ0UIX85VRbmCW1FdKkRzexME5rawEHC3wDHxkocGhcHXOgCV+cJBb+f0wTP4Jf1L1KBKp0aka4gj/B2C6efju05rLfd35erlsLC4fp1JtEVRwdCoEDIYuoDVqWIwOAwJm7C0tOjKlSIhfvfctxBGRtr7082/WIzcmky4WXoiaKwvdIm9lwAzgxags6WTSqsHjh54nZeqfBFEzVWwM3WAkx+3RQBs3W1ovakSSRFqSupg4d6/Z4YIBMhb5bA3c4SdG7cNxu5YOlhSrwzxWtAQKR/bfsP/CFbDJNdICRF3seLZoExSTMsTeMO9z2Ubq5uwOHAlNap1kXczWLy8vIDLQEG+at6PtvoOLA9+FA5e9pw3kGNHxgAVRugU6kPeKR/U8Z47d4568oJHBOr0uhoYGmDqrClw5rmhrUCODlkHDLRQYPrGEPWkc5dorlVwaCCmzJgEnjFvyI+BwRhKmKeKweAopMbH7z//gQN7DvfIM9GmQUXY9cdetHa0INAhBJ4jdJunQ7xkXmGKYxhsvaqSjDKIW2qo4aFqQV1d1nASmNuhuV2K0tyyWy5PvFlESr1EUghbNxsMF6xpAWAb6qmqLe/fI3ch5Rz2F+2A4fCyqWBiYQyBlS3a5e0ozinpd1lS7JkwnNQNCUSFlFBa3v/5KWmsktKaSV7+mi9Cq2kcfRXy/c2NzairUr1unBIi3pFbkUNDQKPGaCfKoD9CxwXQOn0k3LYo+dZ9i6YhaoApl1Pp59oaMTX0GIzhDjOqGAyO0tgopeERhflFENeqpzilTujf0eNHoa9ngElTJsFQC7OZqkirnyw7jG2n/kJL43UVRFVJPn+F1kTycvWhxTC5DJnN9nBTDDgz07JVMqpOlx9Ftvgq+MPIqDIyMYKjwBEd8g7kZxX2ez/mleYgV5wBR0/d5fYNllFho3F/8Gp03GJMfvLSMWzL3QATW27fnzfi7ueKca5T4WLseUtZdeIduZJ9GRk1KbDzFGA4GFUnyw7h14yvUZUrGvD6+ZeKUC4tgauFJzzCdZdPpcQzyhVN+hL8mf0rtq7bofX9GxoaYtmD9yE0Ihgz5k4bUqElBkNbMKOKweAIN6qejZmQCP9AXyx/eCkEtroRVChMLkWOKANuFp6InBQKLuAW5kQVw7Jq01CcMvAZ1qtXM+h7WDg3zudWRIZHYpL7TOhLbu2hLM4upV5FO0s7mFmrVmSWK4yNHo9Hwp+DfmPf50nyrepaxDRU0N5j+BT+VeLm46oo6FzVd04VUQYsrSlBZVM5HD24HZ56I0TBj6hqEi/wrRQAa8vqkSa8jMvC88PCqCI5UJamVlTgJutyzoDXP3nwNNo7ZfBzDtBJfaobIeF+4aNDIWyuxtETR+iEhbYxMTXBjDnTaKHg7s/BPdv3US/WQIpIMxhcgOVUMRg6hjw4MtKzcOFMEmqFtbh0/hIC3UIwMjQRdjbO+PG/P2PuvbMQGBqo9WNLP5qFQH4YXPnu8I7hhkS3c4ADvO38UJifi9P7zyEgUfW8qrZmGaxkAoxynoDQaEWiNtfxDfZG+YUIyGo70dl+XUa/N7KuZtF3dzePYZWLQ3DydEB1Zm2/g3HyGzGorY35sHHW/cB0MAqA6aJkCFrsIJff0+s1Elc0oL5NDGueDadlxvsyPFram2l4LblWLkGOfS4rKqpFTYuQCs/YeXFbhVMZehzgF4CTxYeRnHQF8zBjQH28MK8GXlZ+GJU4kjN/m5GTQuCx1hs5okzkXyyCf8LAc1TVgURiHNx5GPt2HkB2dhakTVJ4eHogfEQErqZlQiZrR0z8CK0eE4OhDsxTxWDomIN7jtCZOZGwBkmXk3Dh0gXkXMjH5Z3p2PX9fvzvh//D9GkzMWfsfJw5pF7R24Ega21H4fkyjHIZj+kzp8GQZ8iZwU3iyFH088njJwc0m1mRVQVbE3tEOybANcgJwwFbDwGV1y6tL+rXw0HIzc+j74FB2jfANTEgv1R9DklZ59He1t7rMjWl4i6jargZHASBqw3OVBzD1aorkNb2XtC5vrIB9a11NNdouBmORMEvoz4Ff+WuQ1Fm/3lVRZnF1OtjZ+EAG8fhcZ6R1xRXM3MyqViFqoiKxLCUCTDb525EjOGOh5zkyAY7hlEFxr9+3q61/ZI+O+98ERaOvRerH1+Nv3ZtRllJOVrq2iCqqIW8SQ/yVuCLf36LNateQnWlahL9DIauYUYVg6Ej2mUdOLr2DJ594lmUlJSgWdICX71gPBT2NOL9EmnRT4GFHZYFr0aM4yhkF2Zi6QNL8cz9z6NZ2n++giZIP56Fgqo8+gAMm8KtQXrcpBgqwZ1dnom6ctWTxnMuFVD1tU69Djj5D4/QKkc/O5yvOIHdBX/RosX93U+lVSUw0DNAYNjwkVNXwnexofk1JB+srlLS6zJErMNA3xAOfEfwTI0w3CAFcgUmtqhtrUFdRe/3bVWRiAp2kDBB62GmcEgU8Tw9FPXR0q9c7XfZ9CuKMFwvd2/OK/8p8Y/2pSUOSsVEjVOs8nrZZ/PQ0q7os72i+1Z91DYkR3bWvJng6fNw8MQBWm5iqMnPKMRvf/sLf721FwG8cEx0n4lV4c9iZczjWJG4GlOc5kKezIM8nYfy0jJs2fMnxiZMwAevf4Jzpy9Q7xWDwVW4MfXMYNwhNEmbcP5MEmrKxRCfbIa4rB7TPedBUGKHADs/hD8ZBK9oN5haKvJhOjs6UZ5VjfSDWTi/9zKOFe3HnuO74fVkAB56f+mQqoP9uXYLtuT+jkUjluu0UGVv+MS4w8fan3pw8pOKEeMartJ6p4+fwda89Xhg7CoqjjAcIIVHnfguyBSnoTCL1HRJ7HW52pI6JDiORTA/HPYe3FY17MtTRQwJIqtO/i7seinMTAQeyADMJXj4iVQQyN8r39gWOXWZqCmto6IrN1KUVUzbwcPFUysy15omNDQEOAVk5/QvrJKTo8hLCgoOwHDBLdQZIbYR6JB3ojS9UuVcsP07D2Jt2vd4aPzjsOBY3bGYWRGIXBtHC2pnnshD1KyQIdvXlp924rW3XoW3lT8muE+Hp4sXFs6bi8CxPvRvg4RFkkk8on6Ze6YQNrttkJOXQwVCUrNTYGhmiIvnL+Phx1fA2Nh4yI6TwRgszKhiMLQYP/7rj+vRKGlEWXkZJGmtCOCHID4hDhNWjaK5Qr2FurmFONFX/KIo+H/ui/QLV9Eh1MNva7Zg5kvj4RvtpfFjlYikOHrhCEwNzTBr4XSdFvztDVKjaN7Iu2ntpsLLpYiZd2ujihio6VfT6Oe4xDgMF8hAw9/PH0fz9yMns++BanW+CMaGJrA3dOq3zhNXsXGypDW5ihsKUF0ohP+om+9rZb6VrRv3c3B6w5xvCnsrR1ytTUHe1XxEzrg5r69TrIelwY/0ev7DgaCoQBjp81AmLKGeDxPLmwe/xCvvbRSIewMfRPCIIAwXrOwtMD5sMhVMIcXHVTFAiPDIxbQkqqA6amICuAbx2M9MmIuaYjHSDmQNiVFFDKVv3v4RH3/3AX2mhNpFImFRFEbeG32Tx5n0d3xna8QtjETs/AikH86G5y+eENkrRIlqi+tQnlYN7xjuePwYDCXcGikxGLcxYmEdUpMUdTkM2g0Q6BKMaU+Pw5L37+rVoLoR8qC59905mLVqKqAHXCw4h7vvuRtn9yVp/Fj3rzuMEkkBggURiJw+dDOX6qAMoylMLqH5X7dCWFiL0voSCEzsEBCj2yLGAyUiWmE0FpQU9JnLkZ9eSHOSWgykNHR0uEFy9tydPdCJTqQl3xw61tYiw7GUQzheehAC9+FpVJEBo7e3N/2ckZZ50+/k2hIPFmE4KOL1JT1ua2oPUYsQwqKaXpepzBFSzwgpwO0WdLO3juveKiL9n3NZkb+oioJqYV0u3Cw9EJSoqOPFtXuShHcTw+fy5cuozu/9mg0Wst2Pn/8cH3z7Ls0TXBa7Ck/95xGMW5lwyxBeEhZKjm3VN/ch3iMRLemdMC6xxOY3dmPDJ3/RibLiwhJcTc1AR4f21QsZjBthRhWDMQSQYob7dx/CqWNn6P8vnbyCGeNmYd+xPUg/nIlg/RF4+L/30ZnqgeQTkAfgqCXRmP/adAjMbCGVSfHo448i6UCyxo6d5OZsWP8H/Txt7HSaXM9FfOM9aE2mtSnfoOAiCYvrn9ykAlRJy6jamGvw8BCpUOIX4QNLIytUNJRBXNF7XtXlpGScKT8KOb+dM+piAyUoUOG1yO7FIycqrEV+XQ4qpKXD0hOnJDo6GksCH4JVm6DXArFH8/fhaMk+2A5Tw9He0xYxDqMQ5zgawoLaXpcpSiul9ypR/3O4VlR3uOAa6oT1GT9gZ/JfqK/uPfevO8d2nkSjTAJfu8B+1RB1SejkAKSLk/Fnzm/Y/PVWjRpUO/53AN9s/pIa0A+OfRyP/t8DAw4nNzbjYeZzE3DvMwtgom8KcXMNXvvsb5g/7h4c2nsEe3bsx6bf/9LYcTMYg4UZVTogLy8fv/+yEft2HWB1GG5Tjh8+idTkNFy6kIzk/en44pXvUN9Uh2lu83D3zEVY/ukCmkMyWEho0NOfPIq7Ahejsa0Bjz3xGDLO3ro4rCpcPZqDzMo0eFj6YOqyCeAq7uEuEFjZUjW4Q1uO3nL5I/uOoV3ejjC/CM7lNagiVjHObSpinRJRkVXd6+CFKJIRRsREYbgSERuOlaFPwrnTkxr33akuqKGDcDsTe9h7DU8vDsE9wJV6clrEbTQM7kaZ8eKGfCpUYdtLTtlwgIT7RfhFwsval3qkeuPi2UvUq9pm1gQj4+GVhUAK9zqYO6O0sQh55/suVK0scHzkyBH6eeLkCZwLo1ZibmOKefPnwVDfCFt2/4XGPpQpB8qZ9ZeQtbcAM73mY8WE1Xj4v0vUUrT0S/DC8v8uRECIPxVvyhPmorhIoTIZEOR/U7g9Y/jT0dGBlOQ0HDt0AiVFpeA63PwLv82pq6tDRVkFvUG6zyi3tLTim8+/xx+/bb7p5mFF8LgtPlFd1XPwEDcyBvr6+jBoNcSBL08g0CoMy8MfxSN/X4lZz0/UiEiC1wg3PPfZY5jptwA1TUKsWrmazgCrAwk/urglFYsCV2B29Dz4xHqAq5AByvTpU+nnI8eO3DQI746sRQaDahNM95qHiVPGYbhB5MNDPMLgaOaM0rSKm34nuWXl9SWw5vHhG6EILxuOOPs5wNzIgt6HRHijO9kpubSwsZPABeb84WUUd4fUZCIKlFeESdSI6k5+ahHErbVwtHCGrTs3PcSq4BRkD2FTJa6cT7npN/IsS0tX5DYGh3AztLg/yGRYsHsoWjtacWTXsX6XLbpSBlcTL4xyHo/EWfHgMuOWJCBYEI5ccSYOruv/vFRh61e78cfXf9LPUSHRePCje2Fmbar2domgxbJPFuChBx7GeIdpWLfuNxzcfwBpJ3uGDO/bdRCb1v2JnCzVwjQZukUkrKEiXgf2HOox3iVj5MP7jiLp3CWUFHPfqBpeU0S3CTY2NvDx84a5Rc+BQV2tGI2NUvrKu1iM7L1FEJfXobysEu12LYCpHMatJuB32oPvZA17TwHsvQVwDnIEb5gomd1unDx6mv6x29oJsOyh+7qMZP0OA5zYfRLphSk01MfZ1QXzXl0I50AHjXtrnv/oKbQ824wqaQW2/fsA7v9w/qBnuTNP5tGBHkkmnrpsLOeljuOmR8P5Z1dkizJoCKD/yN4NipLUChjKjeBnE4SQ0dySh1cFcl85hzjg6P5jaD0lxfRnxvf4vTStnF5/dytvmvMxXHHwtqVCFYUNeZieM65HmF9aimIg7u87/OTiu2PvZYv8+myk1SSjOK0c7mHXQ6EunrtE3wP8Aoel8p8SkiO65Yv18BMF4tn61T0G00TZsVCYDzNDC/iGeg/Lv8VJUydie8omnE06i3bZ41SavDeyTubDwcwJbnYetCYUlyE5fLMmzEHa5sv44acfMO2BCYM2gg78dgyvf/AqOuVyPDnhBSx+Z7ZGJ0JI/uWMZ8fTcErBp3bYkbMJv36/Do4Grpj82Gi0d7QjOyMb7e0dsOZbwz9weOXQ3m401TfTyUCS11xUXIRaSS3aGmVormyFiYkpHO0dAbt2VMnLu0KkbR0VYxgyOc0X2EAiaRwWzgVmVOkAX18feAVcV64hs7JlGZVIOX4VerWGqJPV4v0/30dJTSEtjkhYufRhWBpZoLm+GZ9tehk8fWPYmdrD18MPIWOCwIMxovxHIGpSGKwdLbvcpgYGw/fBzDVIe7Y0t8DcwrzrOzNzM/o98VTVCGtg52CH49tO4fkXX4CoqRqxjokISQjC3JemaGSWrjd84jzwwnvPYudHh9AqacPav23Gyk8XU2GLgdDR3oH/vvM/pBYm456Y+xE+lfvGh0ekC4Icw3Ekfy92/rYXa0Y+3utyJ3eeRYrwIsJcouAaMrzyqZQQY2n3N1vgLw5GY+2jtNCqkiun09DS0QwvB2+qUDZcIQIbzYYSpIou4tKpK4iYHtwVRlVWWEbDk6Ljh294I8HEwpj22ymii7h4+iJGL4ml35MBw9UMxWx7dGw0hjPEUHQyd0GFtAzlGVXwG3ldyTD/YjH11Hlb+8EpcHjUiruRyPGhcPzKBbm1WSi8VELD0npT/du34wCM5SYYP3lMn4YXl7jr0RnYfngLckQZOPrrGcx6atKAt3FmWxJefuNFtHS0YEn0Ctz//gJY2g1NnxQxPQgOPg/D4W17NAqbkLIvkwr2zH5hCuJGxSI1OR0RUWE91km+mAJpoxRBIQGwtR++uZlcRtIgQdKJZBRnl0CS2YbmUkX9s0PFuxExMQSOTk7IF+Zj16kdMDEwxcPhzwCWndALl6O5sRmvLX8LwZ4hGDUjHkHj/HDfA4thxDMaFrnCzKjSIURuNvVAJnb9vg+iqhp4WvmgoxNYn7YOpoamcLPxhKOdIxwcHMA3FsDSyBJG9jyMD5+E8qpyVIrLIUQl9A1D0A4Zzm+4gvO/pcDGywJRU8JxpfwiOjo7MSI2EvGjFA9uQnt7O7X+yYuhGkcOHENaylV4enngrrtnd31POub6unqERoTAwswCbz7yLtbtXUt/m+WzEMsevw8j7x0x5LH0weP90NrUhh3/2Y/N537F2buP49utXw6oeOix9WdwJGM/vdcmPTB6WMyUGxga4O7FCyH6vhq12Q2QiBpveoC3t7Vj977dOFt2HNNmTh0W59Ub3iPc4WbhiWJJPoqSyxA6KaBrMN5S2o4VIU8gZNzwqfnTG+ShOSI6Ggez9+DC+QtYiSX0+6o8EYJsIhBgHYaAGO4pqA2U6NgR2HLpD6SkpNLrR86byMW3t7bDwcwZwTHD+zoSD6ObtSfOlB5Dysn0HkZV0rFLkHW2IcA9GGb8oZloGmrcI1ww0mssmqXNSDuc1atRdeVQBvbnbqdqo09PW4XhAJlwum/uMhRdLEPmgTyMWhAzoNzf5EPpeO7FZ2me64LQ+7Dm/x5XK4dKVUn4R768H7s/PoLcC4X4+fB3+PHw1/jH3/6JVU+s7DHOIX9rly5chri2DlWVVVh47/whPbbbnaKCYpqqQto4cdxI1JbVIeNYLk4dPAsDP0U4/oGMA5hkMYf2cTamfECmh472TrjYuuLBuY9AT64Hf3cviCvrsWvrNqRWXaZh3nvTt2PtYQf484Mwb/JCRM8Ng99IT/rM5zJaNaqam5tx/twFNDc1ITomGg6ODkOyDtcRl9YjeVsatm7ZjtSqSzT5miiS+dj6w3eEJ3577HcExPnSzqg3y3z5q4u7ZsIuHLuEc2fOo72lE3rtelS04MutH8L1sAfm3z+Phm+VZ1ahObQFplaKgrKXk65QVTriUl3+8NIenU5zcwtMTRXL3YnIZDKUl1bA0soSAtvrIXQdHZ1oa21DYX4RNUoNDQ27PFUTpoxDzplC/PnNXhw4ux98E1vcFXo37v/nInhfk/3WBlEzQ9AqbcPpt47gXNEprFnyN/znjw9V8lwQFavPPvsP7czmjbwH4VOHT+2YxAWxyNiryK26sjcDY5b1rEGVfTofGVWpcDJzwZi7RmK4YuchgJ9DIApzc3F0x/Euo4qEVDQIG2HBs0TIyOE9GCfEj4sFbyMPeWU5NGGeiIqQQqsEIsPtEsxNBbWBEDkqHKY/mqGgOpcWOiVe5aLLZYh2HElfw9WbqoQMfBLiE6hRdWDfQSx4YRZ9lpEJjtbiTlrAOWLa8MunUkK8TnMXzsblnenIP1t8Uz0uMnhf//0faGqXYk7QAqoYOFyY/dgU/PTkJpqjuv7dLXj8/1aoFAaed74I/3r5XVQ1VWB2wEK8/OWzWhNbMbU0wcI3ZuDMhkso+DIHR4r34rk3n8G+HXPxz/+8CkdvhUeUPMPJs71OXE9TMLqTmZ6FrIwcuHu60Yno4eAV0QZkvEO8e+IaMQJDAuDhdX1Mk5udR3/jGfKQ+2cZTl44QQVoxG0iPObzBJ10CPONwLjZ8fCOcscL3o/QiX5DQ4Ne23dFxz0oz6rC6X1ncWDfISTnXqTh4CR0kLykvAZMvns87IO5K1SkNaMqOysbDyxdCRu+Nfh8AdY88wL+/d6/cPeihRpdh8uQOiubXtuFLUc2I1l4Ae2dMjqLNTtqPpY9shQx0yLAM+OpvD2y7OiZI+lLKcd7eucF5P02HuklKTh+6hj4NgIc33Mcp35Lwsix8dSjIZLU0JA1YkB0N6haW1vx5WffwMTUBFNnTEJA8PXchaamZvB4Rl3GxO2AMj5X+cdN2uTrz7+nHW98YizGThjdwyMFuRy+AT5dy5P1i1JK8ck//wO7ZleYGZlTIYSwMcGY8cz4IQv364+Ee6LwuuwfeP1fr+Fw1l6suVcPH619BwK3vpPeycPzo6c/pwZ+mN0IrPzHUs6qVPUGOTePSFdcPpuM9T/+gdh5EV0DHHKNfv9qE+rbxBjtPwGeUa4YrpCBzegxiTiYuwvHTh3HIy0raC5lypGr2F+4HSMc4+Eb74nhjmeEG5wt3FEiKUTehUJaJ23/9gPYnbMD94y+jw6ghjseEa5wt/SmteByzxUibn4k8pKKuu5nZQj3cGbi7HH4bseXSC9JpXmaJJes4GIJ2ppl4BkYI3wCmbjhfo5EX5D6See2XUJ6dTLObQ/D+PtHdf2WfboAJ9KP0DIIix66e1gN0IkhNHLxCLz30XsovJoLr0h3zFo9ud91SIHePZ8dRaxDItysPfC3L5+j9cq03T8mLo2B5whXBL4XhC3n/8CupK04M+Uknl72HBY9Mw8WtuZYtHQhDf8zuGEsk52ZQ42EGlENouOuhxi3tbWhoqwSDk4Ot/WEMznHrIxsGro3Z4FiEoRAxogkd5yMj8wtzalR1VgrRfapAqQdz0SHZQdaJG1oyRPSSVnC1IiZCHELw6SFY7sm85X0N7Ygv7mFOGNxyAIsXrOAlg9J3peOzMP5NJrrtyvfYdPlXzHZczYWPbQAY1dwT/xFayPkl55/GeGR4fj2h6/pxfr5x1/w91dew5ixo+Ho5KixdbgMGQCRP3xjA2P48QMxe+oc3P3IPI3VriAP4pkPT6Kv2tI67P59P3bt2IW8kjwEekci/0IxLhy/iCbLBoTFhMDBwpHOcCs9GWQmgkDyhngmPY07or5COh0vH08svHdeD8VCUbUIllYWdAZoOIQUCqtFVJ6zqrIayx5cAmsbRXgDyT9zdHSgCjNlxYqESSVuHq70RSBhdslH0/HTV7/gaOohNMoaMMp5AsaFTMLcR6YgaKxuk2JH3xeLN9rexJvvv4FDWXvw7OI2vP35P+Ddi5IfyaPa/v4B7LqwhYb9rXl2jUqFiLlG4n3R+GrL5yhrLMa+H6Zg3nMz6PcFScU4eHkvTA3Nsezh+4aVsdgbYaOD4bLJHdmiq8g4mkvz3rb+sQ05dRmYEDtJJ4a8piFy6aHu4TiUWYYzey9Q8ZFzyWdR1VSOiLGhuB0gCmZzEuZDUtaEvLNFiJgahPU716GoLh/vzH4XtwMkJG6a112wMrJG6oEsTHokEbvX7cP2vI2YHDiT1ioqzivDcIWUOei0b8Pp1KMw+MoAIxfE0HpKxBv39XvfQ9hchWmBcxE1Y/jds6QW4qi9o5FxLBVvf/wmHF3tETM74qblSPHdXV8dwLfffUcVDkm+8YsfPq3TelykBuFT3z2EEesisP7HDbhQcRolZ6vwzeXf4RrrgMT5sTQ/9cZngQ3fBnwBH24eLjcZG5vXb6Gf71uxGC6u14WA6sR1MDc3p/k+XIRMlBsZGfUYlx09dALVFdXUOBo55rpRUlNTi4vnL3cpGitzx5VCEc3SFpRfrcJ/132LM0lnkFeXiZpWIZWun+m9EImxiRj34GMIGe8PS7vr+b7qQDz4E1cmYvzykbh6MgdNX9bh2OXDsDC0hMkNxtodZVQV5BfgSnIKft+4rsv6XbJ0CT56/2Ps3bMPKx58QCPrDAcSFkXB1tcGY++LH9IBEJntXPbyYtz/0iKaj0DiXLNO5ONsynFczDqD7UmArYkDfvjUA37uARiTOAZ23gKMCIlCm7wN1hY946jFtWI6629k1POWqSyvxJ8bFMUClz14HwQCAU0qJzGzF84lUa+Pna09vDw9aCdmYKRPlXk6OjuoR8zEzJjmuAx2Jo/8QdfXNVBD0MLKAuZmZnTfne0duHDuEq6mZYB/3gazZs+g+yEvfT09GgusOP6qLqOKQDqZBHkcXNycu0RESJ6OuKIBlVnVKEotw0/bvkOOOJN6Gh1MnTDRexruXbUICXdHaUQqXRNMWDEKH1l9hH+//S48zHyw+Y09CJnkj8Ql12PkSd2f/V8cR0VGNeb4LIJruBMmrkjEcISoIN49eTE+3fIePvv2U4SOCoJzoCO2fLYHLe3NSPQah5i5Nw8Khht2PgLMj1uENlEHLvx5BeTP5kzuCVjxrDHvgTm4HSB9wYK758Njmx8ac1ux7+ujyBZfpXXTSJLz7ULM5EicXneRKlPu//oEMoQptH5V+KTb4xyJ2tv4qeOQc7qACgh4Rblh++GtVLwibmrUsJ/gIPfpsjX3Yu/5nThbdAIb3t2C5W8twpHvzqCwrAB8Y1s89vyqYVeHi0Cek898thoVSyuwK+MvPLXmKbyc9TfMfGQKjQIgz8WCyyX47r2fsPXCZrR1tCDIJRQPf3Cf1j1UvUHafMJDI2lI/PFfztGxDzEA/2/dZ3j3pwYEO4Vh3OhxSBgfB7cgF1g7WWLsxNEYN2nMTfWtyOSrErtuwhZkext/+5Oq0kVGRSAhPg7N9S1U6a6uvg7iujpYWJjD08dDY2F4xLEr75DTMQ55lRaX0slwQ0Mj+Hh7Q99Qn4beVlVXYvfufZC1ybD8oaVwcLouCEPSG0hJHyPjnmMVGxtrmJqZwsrSEmXZlZA36aEipwpXklIhrWiGUasJMhvPY2vuero8GT+OD5yC2XNnYfI949Wqu3krSF8RNj4Q741/A8LCp3D8t3OcFdLSk2tBo3Dv7r147JEncDHlAmxtr9+Us6bNQWRUJN778B2NrENobmqmeVjdZxLeevVdfPb1hxDYciMOszC7pIf6n7YgHWFJWjl2/b4Xx0+cQKEwj8owd6ITq8PXwMiAhzRRMkolBTA3soSFmRVMjU3A4xkjPDgceqZyiGvrUVpUQj0cxDiydLKgSbuEznPGqKwvR444A53yToycEwdTC1OqAGNabEMHDDXNQtRaVyIwThFaeGHrZdpJ+NoGwsHSEe1BjWhDGxrKJJBWNivCDfUBFy9nGNrp0w4v/WgGZB3taG+X0WOPnxuj2H+eITor9HGwaCc65R0IjA6Eb4gPWlvakL4nC1EOilybMxVHETI2CC2NLdSjJ5PKILCwQ5hbJAwM9ZEjzIJYUoumJikamxpR1yKGiaEpJrorvB878jZSyfFon3jMf2AO7biNza/H03MJ4p3c/ekRNDe04GDRLnTI2+Hj5EdzU7LLM2lNIFJUloTFLfjnjEEPAHR1T3eHhL8+uWANThYdho91AMZ5T4E5LNHR2Y5Zz09CxFSFktxwhrRzY1ET9vznKDXqj5XuR2ZtGmaHLMB/d384LBTGVKGuogHfr95ABxKHindRT9wjU5/Caz8/r5X9a+N+bqyR4l/3foKjRftp9EKxpADLRj+Mf/3x92EVLtYfZVcr8fUzv+Bg8S7a/6eJLiPGeRR+2f8tVa/kQr+hDmT49P3ffsMH6/8NM0NzjPGaBG8zxbPNPoiPFR8t4kRZisG2c3V+Dd5c/S72ZmyDpbE1loc+SmvmHU8/jIyqNFQ3VdDaePdPeBCPfbACVgMQRtImNcViJG1PxcYNm5BRnYJyqaJgsIGeIYIEYZjgPh1GpkbIrkuHvpEeeDweDXcjkuxmPFN4ufigQ78dKWkpqG8WQ9beDrleJ8bdo0gR6CwwBMoNca7iBETN1QiMCEBApD/aZe04ueUMJnrNoAZPUUMunEfb0fumKluIJlEzjIx4iPKMQatlE6TGDWhpakHZ5UrF5DNRcDY2QNAEf+jpAzWXJMjMuwo5GfnIOxGcGAh7NzvI6jtgkGYOYVMVVU61srFG/EzFuCjjRBbsZC5wtHJGS2cTGuxFNCSvtaEN0gpFkWd7M2dYGdhAXC/G2dLjaGyTQCKrp4IjZD8JzuMQ6ziKPkuL9fIwefpEjF8wBnY6KlBeyOF+QytTKA0SCX23tra+yTKWXPtNE+sQ9u7cj62bdtz0fUl+BRpqpOACZIaD3BQ6wQSY+dA0zHhwKiTVUhSnlSHtUjqsZXw0iqRoaW+iYQukTkyH6HoxVVc9TxgbmiC58jLOV57s+p5XxAM/W4AZgXfBot0YtS0ipNdcoYP2UGkQYADUNAjh0KnwyknaGiBsrUQgFA+ec+UnaAdjZWwDvpEtYCyHsSEP+XU5OJ96rms/CywWw83JmRqGh3P29Til6PZIhfFlCOhBDxXSUtpZWlSYw8BYH1KpFM0d1yvEk+KGKX9eRLu8ves7d0svuBkoElf3Ze6k56HEkmcNF3M3snHYuFhhzdiX4BHtAoGHDX1gVpRdn8niGvrWepjy4mgkb7sKXikP2eIc5NZl0t+MDUwQah+FoCm+CJ3hj7Kim4vKDot7uhtPvvI42v7dhqTy0zAuNsYkj1kImRIAK08LThyfupB2Nnc3hVOwPX7b+xOyxOkItg3HsqeWorSgZ8jqcCdwkg+++ukLalBFOsRi1vJpWruG2rqf42fE4MBXO2loI7mO8x6cjaIc7he4VBlDwHeUF3bmN1GDiqhXPvLoKohEtfTFlX5DHcYvHY2SwpXYfO537M/dgUfCn6Oz9qOWxaAolxvXUp12fuqdR+H7vQ9SU9MURblL65BSfpHWoBrnOQX3LluM4In+qK2roy+uEjjNG6+Ofx4VGUJknMtCcnIyioRkAlmR/iBrluFY7oGuMjZKnMxd4dChqDGWUnGJGpL60KfeIemuBjjZOSGSl6DYRmcbzd8FT+GraG5pRn5dNsbJptIInryabLgZKUIjr1alIjMzQ7GPDg8Y++vR53Vbayv2Zm7v2r+5mTmC9RXjpcbOBlyqPks/6+sZwK7BBvawAwwU+yPHXlCfCwOpPvSTOiFplKCouBCJtpNga2wPobQaf11Yd1PbjHGZhEiHOBrhQybFLXlWNB/Q09oHHi5eCAsNQ9CIADgG2MLYQjGB3NjSiMbsnm2lLbjWb3Q38LTiqdq+bQeeeeJZXLmaDGvr6/Ka82bPh3+APz7+7CONrENgnqrBI2uR0Q5TIpKiQdQIUUUNGiWNVKSCb8YH5HpokTWjpb2FhgEaGhnB2MQIPGNjWJibwdCYR8P7yGy5MtSOuKLJd6QzpmF5HZ1oaGhAnaSOJoDaWdijrVUGAzkxhwyQW52N5tZm8DqNYdBmiLY2GdAJ8MyN0MGTQU9PHzb6fPBMjGmssLExDxJZAz0WcxMzmJqYdoUZkvdaoRgOrnbXQgI7qSgDDU+UddLYdyLWQUIHyYwSMTLIcpWiCppTZmVtRUVSBC42dHZO4GbNWY+UKpD8uayTechOy6WzT4GR/ggZ69+j3tHtMHNE1NTObkuCWFSHkdNje80lG64o25ncx+e3XkZxbgnGzhs17NXieoP0GRd3piA3PR/jFiRqNU9DW/czefwm70lH5uVsqkxJwlhvx+t4Zd9VpF24ioRpsT0KdHOp31AHWWs7Lu1MRWZKNkJHBCNqVggtUMsVNNHOlTlCKqpCJl87DNrhHe5JpfJJrvhwhYT215TUob6SlOOQQigSobFBQnPFyUQtUakzMTGBwMaWjmc60UHzp8j4gES1dB/jkP9Xl9dAYM+nY4umliY6rjAh4wqZYuzT2tKK0voSdHS0w7jTFHoyPToGsTEXQKonQb2sjvYJAkMBDHk88AwNocfTR1OnlAqF8S0EsLCwoJ/JfsnxEMENnrGihhOJIKKhgbIOOt6RtbXTYyHfyzuIWFob9UaRtAwytpK1ttH92dvZw9rGBkYmhrC0Naf1Aq0cLGjuJxfDdAs53G9o5a/ew0MxqCkrLesykMiFLCsrx+QpkzW2DoHEhJIXY+CQfCBHP3v60hWJULis74Q/Pm1DBEniFkTS1+0MeRDMeHTgRSuHE2TiInFRLBJxvf7c7QbxAsfeFUlftyu0LtesMPq6na9j1MxQ+rpdIWHTCXePoK/bFVIPirxuJ0hNQ00WJjbJNmbjjTscrZig4RFhsHewp0p0Ss6cPguRUIRJUyZ2fXfk0BFcTLo0oHUYDAaDwWAwGAwG47b3VBGp6n+++Q+seeZ5RciXvR2+//YHLF6yCGHh12foPnz/Y4SEhiAmNlrldRgMBoPBYDAYDAZDl2gt6HfuvDlwdXPFjm07UFhQiNf+8SrmLbhe74gwafJEusxA1mEwGAwGg8FgMBgMXaLVTMromBH01RcvvfLigNdhMBgMBoPBYDAYDF3CPVkPBoPBYDAYDAaDwRhGMKOKwWAwGAwGg8FgMNSAGVUMBoPBYDAYDAaDoQbMqGIwGAwGg8FgMBgMNWBGFYPBYDAYDAaDwWCoATOqGAwGg8FgMBgMBmO4SKrrgo6ODvpeJ64DV6ivb0BtTa2uD+OOgLU1a+fbCXY/s3a+nWD3M2vn2wl2P9+57WxtYw0DA4Pb36iSNEjo+1uvvqvrQ2EwGAwGg8FgMBi3EZ99/SEEtgLoyeVyOW5j2traUFpcCksrKxgY6D7akXjMiIH3xnt/hw3fRteHc1vD2pq18+0Eu59ZO99OsPuZtfPtBLuf7+x2vmM8VTweDz5+PuAa5GYgVi2DtfXtArunWTvfTrD7mbXz7QS7n1k7307YcHQMrXvXDYPBYDAYDAaDwWAMY5hRxWAwGAwGg8FgMBhqwIwqLWNqaor5i+bSdwZr69sBdk+zdr6dYPcza+fbCXY/s3a+nTDl+Bj6theqYDAYDAaDwWAwGIyhhHmqGAwGg8FgMBgMBkMNmFHFYDAYDAaDwWAwGGrAjCoGg8FgMBgMBoPBUANmVDEYDAaDwWAwGAyGGjCjSsscOXQEC++6BxEhUYiNjMMjDz2K3Ny8HsuUl5XT78ODIhAbFY+3/vk2WltbtX2ow55dO3bjrlnzEBoQjnmz5+P0qTM3VeZe8/TziAwdgajQaLy45iU0NDTo7HiHMx0dHVh89xL4evjjwP6DPX5raW7BP197g97v4cGRePyRJ1BVWaWzYx1uEC2h/fsO4P57l9F7dXTCWLz2yuuora3tsVx7ezs+eO9DJMSMQlhgBFYsexCFBYU6O+7hRn5ePpYvXUH7i5Exifjo/Y/pfc0YPClXUvDkY08jPnok4kYkYPXDjyE3J/em5TZu2IhJYycj2C8Uc2fehdMnT7NmHyR/bvqL9sMPLn/opt/27t6L6ZNn0HYm7+T/jIEhlUrxztvvYnT8GDpueP6ZF27qi8+cPkvHHiH+YZg4ZhLWr9vAmnmAkD5hxpRZ9FlG+uMXnnsJQqGwxzLpaVfpuIO0M3kufvm/r6BziPofQzvk5OTK/TwD5J998h95XV29vLS0VP7wilXyxLjR8s7OTrqMTCaTT504Xb5i2Ur6e8qVFPmo2ET5qy//nV2mAfDb2nXyAJ8g+eaNf8olEok8KzNL/vyzL/ZYZuni++V3zZonz8/Lp9dm+uQZ8geXP8TaeRB8/MEn8pXLHpR7unjL9+7Z1+O3Nc+8IB+XOEGennZVXlxcIl9yz1L57Olz5R0dHaytVSA7K1u+6sHV8lMnTsnFtWJ5xtUM2n73zF/UY7l3//2ePCYyTp50PkleUV4hf2zV4/LRCWPlzU3NrJ1vgVQqpf3sU48/Tdvu/Lnz8hFhMfKP3v+YtZ0akL/1ndt3yasqq+TlZeXyJx97mt6jtTW1Xcvs2b2XPhe3/rVVLhKJ5J9+/Bntu0mfzBgYebl58pExifKFd90jX750RY/fyD3t6+Ev/+WnX2g7//zjL3Ifdz/5hfMXWDOrSHt7O+13Sf+bmpomb2xslO/YtlP+4/c/9bgG5P795KNP5UKhUL5t63Z6f+/asYu1s4ocOnBI7u3mS8dvDQ0N8pzsHNrmy5Ys71qmpqZGHhUaLf/7316TV1VVy48eOSYP8Q+Tf//tD3JdwowqLbJ96w466Gxubun67vChI/S76upq+v/9+w7Q/5eVlnUts+mPzbQzJAMqxq0hRlRoQLj8f//9X5/LpKak0na+mHSp67uTx0/S78gglqE6p06elo8ZOU5eUlJ6k1FFOjvSOXZ/oOTm5NHljh09zpp5kJAHCGlDYgAQiOEU5BtCB0pKyMCV9BvkwcTonz/W/yH39wqkD3Al3371He1HWlqu99cM9aivr6f37e6du7u+WzD3bhSIlD8AABTaSURBVPmzTz3XY7lJ46bIX3vlddbcA4DcpzOnzqaDeGK83mhUrX74UTqR2J17776Pfs9QjY0bNtE+lTzr+uKN19+UTxw7ucd3zz21hk7gMlSDOB4S48f0+O67b76XhwdHdv3/qy++pv9va2vr+u79dz+QJ0SP6nJS6AIW/qdFRiYmwNbWFmt/XouWllbqMt60YRNGJY6Cvb09XSbpQhK8vDzh4urStd7oMYk0tCc5+Yo2D3fYcvLEKTQ2NmLewvl9LpN04SItHjciOqrru4RRCTAwMMDFpEtaOtLhD7mHX3zuRXz82UewtLS86fdLFy+hs7OT3uNKfP184OTkhItJF7V8tLcPdWIx9PT0YGZuRv+fnn4Vzc3NGJU4smsZvoCP4JAg1s4qQPqD0LDQHvdw4phE2o9kZWYNxSW8IyEh1wRzCwv63tbWRkMEu9+3ymce64cHxnv/fh+BgQG4a97cXn+/eOFij36YtfPA2bd3P2LjYuHm5tpvX3Lj/Uz6krTUdJbGoSJTpk6GuFaMPbv2QCaTobS0DDu378Lcu+b0aOe4uFgYGRl1fTd6dCIqKyvp8rqCGVVahBhO3/74Db796lsE+QYjOjwWpaWl+N/Xn3ctI6wSwtbOrsd6tna2it+qe8aTMnqnuKgYFhYWuHDuAsaOGk/zeO6Zv6hHTlV1VTUEAj4dmCoxNDSEtbU1a2cVIZ7uF597CfMXzkfCyPhelxFWVVND1YZv0+N7ga2AtfMgIXl/n338H8ycNQNWVlaKdq6u7tFXXG9nWwiFosHu6o6hurr6praztRXQd9bvaq6/ePvNf9NJQ2V/QQZOZMLQ1tbu5v7hhvwJRt+QPNaDBw7h7Xff6vV3MrElEtX00j8IUCOqob8zVBtbeHi6428vvkLHFaNiR+Ol51+GSCS6ZV9C8jNra3rmXjF6Jyw8DB9/9iGef/ZF+HsFYkzCWNjZ2eKNt//ZtQx55vX2vFP8pru+w1Bne74NIJ0+SaDrjxmzZuCLr/+PfiYJuiuXrcQjjz6C5SuWQdrUREUoli15ANt2bQGPx+t3W3LIcacS4BOEjva+k8aJx2nz1k30M3lANDU1Yf269Vi77mfY2Njg22++w8rlD2L3vp3w8/frczv6+nr04X+nMn70RJSWlPb5u5OzE06dO0E///zjL/RhsubF5wa8H319fdzBzUyN/MuXkvv83cDQANn5mTd9Tzzcj616HEY8Ht794J1b7kdf786+n9WB3KME1nya4d9vvYNzZ8/hj80bYGxs3H/b6+mzhleR6mohXn3pVXz13Ze9Rgvcuh9m/YOqkLHF5o1/4oWXn8fJM8epAbXmmRfwxOonsfGvP/pcT6+rL2FtrQrHjh7HmmdfwLvvv4Op06egsqKSGq9PPf4Mvv3h637Hb7puZ2ZUqel5ysrPUOnBTNi4YRMN/3tmzdNd4Tlv//tNjIobjZPHT2LSlEmws7fD5UuXe2xDObthf4MH604iIye93z+U7h4nBwcH2vm9/OpL8Pbxpt+9/MpL2Lh+E1VRI0YVaefaWjHdpnJdMpMkFtfR3+5UDh8/qHI7nz97noY0BPmG9FiGqPvFJcThj83raVuSdq2vq+/hrSKzo/Z3cDv/8ecGldu5u0G1+uFHUVlZhQ2b1/doT+U9S/oK0scoqampoWFtjP6xs7NDfl5Bj+/IzH73tmUMnvff/YCqef26/leEhAZ3fU+egcSTXVuraOvu9y1rd9XIzsyi9+qSe5Z2faf0PBEVwD0HdiEgMAACgQC1NTe0M/Fe2dr2GKcw+sbBwR7tMhmefPoJ+n9rG2s8/+JzeGjFKmrckt9JX3KjR4q0M2ljpSeF0T9rf1qLMWNG4+5FC+n/SUTGS397EcvuewBFhUXw9PLss50JuhxbsL8kNSEhY/29undWZKB042BJ+bu+gQF9j46NRmFhUQ/JaRK2Rh48kSMicadCzr+/dia/K4mNi6HvemS2s0fbXx+sxsRG0xwUEs+v5NzZ89QAIL/dqQyknb/45n/ILsikEwvklZR8nn7/5Tf/w+9//EY/j4geQdv87NlzXesRme+Kigp6r9+pDKSdCaSkwqOrHqNexA2bfqcP7+4Qw8nExARnz1xvZ2LIZlzNRHTMndvOqhITG4O0tDSaQ6Xk9KnTMDc3R1BwkE6Pbbjz4XsfYd3adfhl3S+IuuEZRqIzwiLCcPaMou/o/sxj961qjB47GrlF2V39MHnNmjMLY8aNoZ+JQUUg/e3Zsze28+k7uh8eKCSf6kYD9MYxHRk/kLHEjfdzaFgITEz699AyBjZWJnlVJHy4ezs7ODrA3cMduoIZVVqEuDGLiorx9Zff0PA0Ej749hv/ojNyZPBJmDxlEvWuvP73f9LQqpzsHHz2yX+w8J4FdKaJcWs8PD0wa/ZMfPzBJ7TmF2lr0oaSxkZMnT6VLhMZFYn4hDi8/ca/6TIlJaV491/vYey4MQgMCmTNrAKkk+sxgXCtsyOhDkqjgIQLzp03hw6s8nLz6WzeP19/E0HBgbStGbeGJPMT7x81qDavpw+NGyGiK/cvX4ovPv8SaWnpNFflH6/9k87mzZ47izXzLSD3KJ/Pxxuvv0Xbjky2kH562QP3s4GQGnzy4af49Zdfsfb3tYiOUTzjbuSR1auwc/tO7N2zjxq1X33xNZ2NXvHgA+y+VQEy+LxxUkY5KCWflTz8yEO0/hfxGJJ23vD7H3Tw/9CqB1k7qwjpY8m47ftvf6D1F0mO1X8/+z+MHDWya6KL3Lfk/v3i/76k7UzELcj9vWr1w6ydVWTazGk4euQYFacgE4qkPT/+8FOEhIZ0iYQsXrIInfJOWjOsvr6BTiiu/eVXej/3FumhNXSmO3iHQqRkZ02bIw/0CaZykMvue0CelpreY5miwiL6PZH4DQsMl7/y0t9ZrZkBQupHvPzC32j7Eanp+XMWyk+fOtNjGVJDgtTyIdeCLENkaLvXT2EMDFJ7rbc6VeRavPT8y1Se2t87kNazIjXYGKpB6siQdiXS9KSuTPdX9xozRFr2zX+8JY8IiaJ1URbfvYTW92CoBqllt2jBYiqZHBkyQv72G/+idQMZg6/pQ+5bL1efm+7b777+rseypHYSqRNGfpsyYRotNcIYPL1JqhO2btlGawaSvoS8k/8zBsblS8l0PEH6iZiIWPkLz71I637dWPKC1Bsl9zOpG/bTDz+zZh4gpM2IND0ZB0eHx9J7+sZxA7kWRKqetDNZhtQG06WcOkGP/KM7k47BYNxOEFc88VLpdKboNqR7iEN3us9EMxjD5b5lfcTQosypYrlSDIZ2YUYVg8FgMBgMBoPBYKgBy6liMBgMBoPBYDAYDDVgRhWDwWAwGAwGg8FgqAEzqhgMBoPBYDAYDAZDDZhRxWAwGAwGg8FgMBhqwIwqBoPBYDAYDAaDwVADZlQxGAwGg8FgMBgMhhowo4rBYDAYDAaDwWAw1IAZVQwGg8FgMBgMBoOhBsyoYjAYjGHIG6+/iaWL79fYcsOdl55/GatWPqLrw7jjKCwoRExEHKoqq3R6HB0dHZg6cTr27d2v0+NgMBh3LsyoYjAYjGGITCZDW1tb1/9fe+V1LL/vgVsuN9zp9zxlMp0c053MO/96D3fNnwtHJ0edHoeBgQEefXw13v3Xe/ReYDAYDG1jqPU9MhgMBkNt3n7nLXR2dnb9v729vVej4sblhjt9nSdD++Tl5uPg/oM4ePQAJ5p/7rw5ePvNf2Hfnv2Yc9dsXR8Og8G4w2CeKgaDwdBgCNqKZQ/i048/w7RJMxAREkVD77Kzsm9a9tdffsP0yTMQFhiBcYkT8NH7H/fwKKWmpOKB+1ciNjIOo+PH4PlnX+wRYvWvN/+Nlcse7Arx27zxT5w/ex4BPkH09Z9P/3vTcqrum5zHyuUP4ovPv8CMKTMRFRqNxXcvQVpaukrtMFTb7+88CR3t7Spt88D+g7hn/iJ6fUbGJNI2am1t7Xfft7oeyu2SfUaGjsDEMZPw+Wf/1+U1Ud4b//3sc4wdNR7BfqHIyc6h7fLZJ//BpHFTaHuRY9++bUeP7aqyTHhwJP733y/w3NNrMDphLBJiRuHlF/4GiUTS73k98+Sz9Lxu5NOPPqPHScLq+mLTxk0IDAqEr5/PTcdCrvnjjzxB24qEB7768t9RX9+A99/9AGNGjqPXh4Rr3tiG6qxrbGyMKVOnYOMfm/o9ZwaDwRgS5AwGg8HQCM8+9Zzc08VbvurB1fLCgkJ5UWGRfPXDj8pjIuPkEomka7m1P/8qD/AJkm/csEkuEonkRw4flcdExMpfffnv9PeOjg76/9df/Ye8sqJSXlVZJd/y5xb5++9+0LUNsuzd8+6hn2UymfyF516UL1qwWN7c3EJf5Lsbl1Nl393P45WXXpUXF5fQYyDnkRg/Rt7W1tZvGwzl9vs7T1W3+eemv+hyn3z0qbyivEKempIqnzJhGl2vL1S5Hn+s/0Pu6+Ev/9/nX8hLSkrp9f/kw0/lhw8e7nF8a55+nt4X5Ng7OzvpvTIiLEa+b+9+2l5ku4E+wfKjR451bVuVZfy9A2m7b974J10m+XKyPCF6lPyNf7zV7/U6deKU3MvVR56Xm9f1HWkvcs+SNuqPu2bNk//9b6/d9D05FnJ8W7dsk9fW1NLj9PcKpG34xutvysvLyuUF+QXy6ZNn0mukqXUJ6379XR7kGyJvbW3t99gZDAZD0zCjisFgMDQEGTiH+IfJ6+vru75raGiQhwWGy7/7+ruu78gA8e03/tVj3Q2/b5B7u/nSQaO4VkwH4GTA2xc3Gksvv/A3+eK7l9xyuVvtW3keiXGjqTGhJC01nR5TTk5uv20w1Nvv6zxV2SYxYuKjR8ofXvlIj3XPnzsv93H3o8ZQb9zqelCjKzKuh+HY2/GRtuk+2E86n0S3Swy97rz5j7fk82YvUHkZpTFCvuvOR+9/LJ86cbr8VkweP7XHNdu+dQdtD+X16ovQgHD5V198fdP35Fje+ufbPb5btmS5fFziBHoNlKz9aa08LChCY+sSThw7QdsrPy+/32NnMBgMTcPC/xgMBkOD+Af4w8rKquv/lpaWCAgMRGZmFv1/dbUQIlEN4hLieqwXFx9Hc5+ys3Ngw7eh+SGPP/okXn/1HzTUSyQSqX1squxbiY+vD/T1rz8iBAI+fa8Ti3W2/Vtxq22WlZXTkLFp06f0WC86Jhp6enpI7yP88FbXo6y0DCKhCGPHjen3+Pz8/cHj8br+f+niZbrfKdMm91guPiEOV9Ov0jZTZZnu9153+AI+xCq05wMrl2Hzpj/R0txC///br+sweepkOLs497kO2W9jYyMsLCz6OFe/Hv+3trGBt48XPZeu7/g2kDRIbgoxVGddSytL+k7CBRkMBkObMKOKwWAwNNmpdhvUX/9OD50disGv/Nog+MbliHoZQTlI/r8vP8dPa3+Eg4MDNqzbgMT4Mfjyf1+pdWyq7pug18t50G3I5Trb/q241TZJzhXhtVf+0ZWTRV7B/qFUAKOivKLPbfd3PZTb1792nn3BM75uUBHaO9rpurFR8T2O55knn6N5VMRQU2WZ/u49Vdpz4T0L0dHegR3bdyI3JxfnzpzDsgf6l+En+zI3N4dUKu3z95u+01PtmquzrrRRcTxW14wrBoPB0BZM/Y/BYDA0SE5ODh1okgEnobm5mXpoJk2ZRP9PpKetbaxx+dJlTJs+tWs98v8bvQ3RMSPo65k1T+PnH3+hggqrVj/cw9vR1ZkbGnYZNX0xkH0PhqHevqrn2Rdu7m7g8/l46ZUXqSFxI0ZG/T8S+7oerm6udLvEGJk+Y5rKxxMeHkYNzpNnjsPK2vqm301MjFVaRl2It2nB3fOph4p46zy9PG/pdSP4+HqjpLgEXKK0tJQary6urro+FAaDcYfBPFUMBoOhQUhIEqmlJK4V0xfxihDuW7qka5mnnn4Sa3/6larFEW9D8uUrVPFs4d0L4ObmiqzMLKrcRpTryO8klCk1JQ1OTo69GlRKg6GgoBB14rp+j+9W+1aXod6+qufZG8Q4ef6lNVSd8fTJU8TNQb/PzMjES8+/1MPr051bXQ+y3Weffwa/rV2H339bTxX3yLX//pvvceL4iT6PZ/TY0Rg5KgEvrHkJRYWF1KhrapLiyKHDeOufb6u8jCZY8eADuHL5Ctb/vgH3L1/aI9SuL0YljqLhiVziYtIlxMTEaMTYZDAYjIHAPFUMBoOhQeJHxsOGz8fMqbNRXV2N4JBgGjZG8nKUPLz6IbTJ2vDPv7+ByspKWFtb05ydV19/pSunJDY+Fq+8+Cr1fBkZGiEmLgY/rv2hz/0uue9enDpxCiNjE9Ep78QTTz2O555/9qblbrVvdRnq7at6nn2xfMUy2NjYUIny1Q8/RmW4AwID8NCqB+Hg6NDrOqpcj5UPraDeyW+//o7mXdna2WL+gnm4v58wOmK4/PDz9/jvfz7Hg8sfQmVlFc0DSxiZgKeefVLlZTQBOUdqJF26hEWL71FpnbsXLcR333yPosIi6t3SNUS+/uD+Qxq71xgMBmMg6BG1igGtwWAwGIxeITWCamvFWLvu564cot7yQ7pDEu2VOUe9Qbro3rwGJAeIbL83zxWpuUS2SULl+luur30raysZGRn1+L6lpRXGxjyVvBja2H738xzMNpWPP1X3p1znVsv3dt37Or5brafqMqQtSDt0b2/S/uT6E8NRFWZPn0vrTn3634+hKqT2VlBwIF597ZV+j6W38yfn0tYm6+FVUmfdndt34Z2338XRU4dVPmcGg8HQFCz8j8FgMIaIWw2QCf0ZVIS+BvBk4NlXKCAZUJLfb7VcX/smg9feBv9kADsQA2Sot9/9PAezTfL9QPanXGcw172v47vVeqouQ9rixvYm/1fVuNi2dTsyrmbgsSdWYyC89o9XacijUCjs91h6O39yLjeG6Q12XWJkkcLKr7z2MjOoGAyGTmDhfwwGg8Fg3KEUFxVjyoRp1PD+x5uv01DIgUCWv3jlQpdxqyuIkbVjz3aWS8VgMHQGC/9jMBgMDaFKiBeDwSVIOCMR32DhcgwGg6EezKhiMBgMBoPBYDAYDDVgOVUMBoPBYDAYDAaDoQbMqGIwGAwGg8FgMBgMDJ7/BwFgyXf2c1iFAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 880x396 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lam, a_slit, d_slit, D = 633e-9, 10e-6, 50e-6, 1.0  # m\n",
    "k = 2 * np.pi / lam\n",
    "src = np.concatenate([c + np.linspace(-a_slit / 2, a_slit / 2, 200) for c in (-d_slit / 2, d_slit / 2)])\n",
    "y = np.linspace(-0.08, 0.08, 4001)  # screen coordinate (m)\n",
    "r = np.sqrt(D**2 + (y[:, None] - src[None, :]) ** 2)\n",
    "field = np.sum(np.exp(1j * k * r) / np.sqrt(r), axis=1)\n",
    "I_huygens = abs(field) ** 2 / np.max(abs(field) ** 2)\n",
    "s = np.sin(np.arctan(y / D))\n",
    "I_fraunhofer = np.cos(np.pi * d_slit * s / lam) ** 2 * np.sinc(a_slit * s / lam) ** 2\n",
    "\n",
    "centre, Ic = y[abs(y) < 0.03], I_huygens[abs(y) < 0.03]\n",
    "dark = centre[1:-1][(Ic[1:-1] < Ic[:-2]) & (Ic[1:-1] < Ic[2:])]  # dark fringes: zeros of the cos² factor\n",
    "print(\n",
    "    f\"dark-fringe spacing: Huygens sum {1e3 * np.mean(np.diff(dark)):.2f} mm, λD/d = \"\n",
    "    f\"{1e3 * lam * D / d_slit:.2f} mm\"\n",
    ")\n",
    "print(\n",
    "    f\"envelope zero λD/a = {1e3 * lam * D / a_slit:.1f} mm; \"\n",
    "    f\"largest difference Huygens − Fraunhofer {np.max(abs(I_huygens - I_fraunhofer)):.4f}\"\n",
    ")\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(8, 3.6))\n",
    "ax.plot(1e3 * y, I_huygens, color=style.OPEN_NEMO, label=\"Huygens sum of 400 point sources\")\n",
    "ax.plot(1e3 * y, I_fraunhofer, \"--\", color=style.REFERENCE, lw=1, label=\"Fraunhofer formula\")\n",
    "ax.plot(1e3 * y, np.sinc(a_slit * s / lam) ** 2, \":\", color=style.CONTEXT, label=\"single-slit envelope\")\n",
    "ax.set(\n",
    "    xlabel=\"position on the screen y (mm)\", ylabel=\"intensity (normalized)\", title=\"double slit, λ = 633 nm\"\n",
    ")\n",
    "ax.legend(frameon=False, fontsize=8, loc=\"upper right\")\n",
    "fig.tight_layout();"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "70a472a4",
   "metadata": {},
   "source": [
    "The summed circular waves produce dark fringes 12.67 mm apart, the value $\\lambda D/d = 12.66$ mm predicts, under the\n",
    "single-slit envelope with its first zero at 63.3 mm; the Huygens sum and the formula differ by less\n",
    "than 0.01 of the peak. Note what the pattern requires: every source contributes with its phase\n",
    "$kr$, and the dark fringes are places where waves from the two slits cancel. Particles that go\n",
    "through one slit or the other could not produce them.\n",
    "\n",
    "## 4. Standing waves\n",
    "\n",
    "When a wave is confined to $0 \\le x \\le L$, for example a guitar string clamped at both ends, it must\n",
    "vanish at the ends. Only waves that fit an integer number of half wavelengths into $L$ survive:\n",
    "\n",
    "$$u_j(x, t) = u_0 \\sin(k_j x)\\cos(\\omega_j t), \\qquad k_j = j\\,\\frac{\\pi}{L}, \\qquad\n",
    "\\lambda_j = \\frac{2L}{j}, \\qquad j = 1, 2, 3, \\ldots$$\n",
    "\n",
    "A standing wave has a finite extent, discrete wavelengths and discrete frequencies, and it is\n",
    "countable in half wavelengths. The momentum, proportional to $k_j$, is quantized. (The slide labels\n",
    "the two waves it draws $\\lambda_1 = L/2$ and $\\lambda_2 = L$; it is half the fundamental wavelength\n",
    "that fits into the box, $\\lambda_1/2 = L$.)\n",
    "\n",
    "![Slide 10: standing waves between two walls](attachment:slide_010_crop.png)\n",
    "\n",
    "*Slide 10: standing waves in a box of length L: the wave equation, its confined solution and the quantized wave numbers k_j = jπ/L.*\n",
    "\n",
    "open-nemo's effective-mass model solves the same equation. Its Hamiltonian is the discretized\n",
    "operator $-(\\hbar^2/2m)\\,d^2/dx^2$, so its eigenvalues are $E = (\\hbar^2/2m)k^2$ and its eigenvectors\n",
    "are the allowed wave shapes; the wave equation of a string has the same spatial operator, with\n",
    "$\\omega = c k$ in place of $E \\propto k^2$. The cell compares two cases with $m = m_0$. A uniform\n",
    "wire that continues into semi-infinite leads at both ends supports propagating waves at every\n",
    "energy: open-nemo's transmission is 1 throughout. The same wire cut to a box of $L = 10$ nm supports\n",
    "only discrete waves. On a grid of spacing $\\Delta x$ the walls sit one grid point outside the last\n",
    "site, so the box is $L + \\Delta x$ long."
   ],
   "attachments": {
    "slide_010_crop.png": {
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"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "31367210",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:52:57.364826Z",
     "iopub.status.busy": "2026-10-24T22:52:57.364752Z",
     "iopub.status.idle": "2026-10-24T22:52:57.568805Z",
     "shell.execute_reply": "2026-10-24T22:52:57.568406Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "uniform wire: transmission between 1.000000 and 1.000000 for 0.001 eV < E < 1 eV\n",
      "box: 1000 sites, effective length 10.01 nm\n",
      " j    k_j (nm⁻¹)   jπ/L (nm⁻¹)   k_j L/π\n",
      " 1      0.31385       0.31385    1.00000\n",
      " 2      0.62769       0.62769    2.00000\n",
      " 3      0.94153       0.94154    2.99999\n",
      " 4      1.25537       1.25538    3.99997\n",
      " 5      1.56921       1.56923    4.99995\n",
      " 6      1.88304       1.88307    5.99991\n",
      "relative error of k_6: 0.0015 %; (k Δx)²/24 = 0.0015 %\n"
     ]
    },
    {
     "data": {
      "image/png": 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sBpYIuMWXlM9cUj8vfyIl95ukfD4Tu5//isgi79bz6yAulatWipvv4e6eZvePxO7vgqjFFSu2ZitRRpNpgk+i21Os+MOei0ydWP7+X4u/xfffIdJFgT/xQ1eksn4J+BK3XBExt7Cw+OFrq/wgOyZ+17r4xe0io74/kYsva1ZreSATmS0icyY25b1Ktcp48+YNHj96guvXbsT9+C9XIXFd7gQRaPmv331/iZGUZYvMnQaNGmDHtp3yh7tIGRYBHCFP3twyk+ZP2vuj9y6W0bFLR0yfMkN+OTs5vcHx/3e5q1a9alzB8JTYVrNnzIk7CRHtEJ87VRVV2VVNfHnH/5yk9LpJyK/2jcR+tpJ7n1y14p9ErztRfPNHr2tmZvbd6yZlm/xKUrbF0BFDEBgYJLt7btqwOe5+kXElUrbbtm+T6NclIkqs+Mdf8X2WWN8c2+MdV8UPR5EtLLKBY5ctLkyMmzhWdjURma6x2a7iceLCyex5s+Rx8tvvCxOoqn5fFFhLU+u747qJifG/f//myFSx3abjv37895qU9xurukM1mQ0hLhoJFSqVT1Sh9cSIHxCMHewkJYkBM0T3p6QWBE9JIrtIrPv/XvT6UyqqXy8QRv6/iHSspHzmfufz8rsUud/El9j9/Fess1rF9ThQV/s32yoy8tvtkZb2j6Ts7xHx2pbYxAGi9CbTBJ8sLMzjshXev3uPPHnzyL/fvX0X95gfdRUTj41/wPro8rWrjMiuEPVbYpcrfvjuP7wXVtZW3zxffIn86ICqHC9dPampnuUrlJMBDdGFS4wOJpQqXSquVo3o0hP/sYkVv02xkvr+kjLaXVKX3bJ1SxlgEVcbF/y9EK9evpLzW8XLQEqO7RGf6Iolsl1EgGjpoqVxV0sS+4P/d7dVbPc5kcos+sLb5rCVAY7C+Yp+l1WU0usmIb/aNxL72UrufTIp604EmT66fJR/f3j/QdYNEN6+ffvd6yZ1m/xMUraFGEFGdNebNXeGrAklMvFEtpcYxWfS+Mlo2rwpNDWTZyQfIqIfHX8fPXoss4HjE8evHx/fLL45XsfWRhR/i2Pb12V/fYw4hvbq01NOIojh7OyMHdt2yQwNMeR4w0YNUKFShW+WOW7iODRr0fS7140dVSr+D3pxvIwljvG/w9XVVX63xnYtir9M8R2SlPcbP+M19oeosHf3PtRvUO+bdfy7o4mJzFjRJfLli1fy4pmojyMyZVNKStZ8Soz/fg7Ftrp4/qKsn/Pfi1V/ytzcHAH+AfDx/jYrJSmfuaR+XkQNp5/52f0pud8k5fOZ2P38V5SV4wVkfrObXGrvH4nd34X4nyuRcUmUEWWamk/x+4JPnjAVT548lUX9li1ZHjf/R+m5Fy9ckv2hnV47yWJ5on+/IIrAiR988dNFB/QdhJs3bskfzyKtdvHCJahUrgoC/pMF8qdiC9CJlGJRaNo6q7X88SrSVwUxTzA2NkbefHn/6LWS+v46tu2McqUqyCm5l128RDGZ8h5ba0EQJ4PxT2aSe3uItOPY5YtCkOIkR6TLVq1eNUW3la6uTtwXtmi/+PyNHTUuwSCHItbNr/YNRe2TSVl3IoMt1oypM/Hs6XNcOHcBG9d93300qdtEbFNBBMdEHQXRLS/2sUnZFuPHTJAnLufPnpd1LAwM9OOu/Ik6cd7eX7sBEBElJzFEfaxVy//Blo1bZAbwtSvX0Kl9lwS/L+If28XzxHFNHAMnTZjy3bF93559ssixyNb96Ooqv3PV1f/NzvDw8PzumDln1lwcP3pc/li/c/uObFfjBk3j6r5UqVol7rFrVq3F9avXZVebmdO+7+aSGCKbWHTDFsf83bv2yGNxbJ3G4iWLJ+n9CuJC0YnjXwss9xvQV3Y/EkYOGyUzaWMt/HtR3PlUbPf8xBA1jjZv2yTPN4Rxo8fLOoIpJSVrPv1M7AUa0eVKfHeLmjqC+HyK78rYGooJEYObiO/l+FPsMhJSrHhR+f+rV6/l92+spHzmkvp5EUXX43ejE+309fFN1P0pud8k5fOZ2P08NaT2/pHY/V14+uRrt7zY83qijCjTZD5179VDFvMWNV7ED/4Gtb+tIyMK/SWUJSQOTPGJtOEx48d8XW7P7rhy6apcpuia1abFt8XjxI9EZeXkLWJXLl4tISG2WF+pUiXll3HsVaCy5cr8cQG9lHx/v7NskYkkAg6x71HUzor9kZ9S7RWfjdiaXLINbVokOh32d7eVyGaZM3OuDHR07dQ9bn785/yXItbNz/YNRe2TSVl33Xp2xYF9B/Du3XtZV6lerfpy/o8KySd1m5QpW1qecPj6+qJuza/LFd3kuvfslqRtERERKU/cxNXB/xJFQa2tE98dhogosYoWK4JBQwdiycKlslvVxPGTvznuJfR9UaJUCZnhIEahcnd3R4e2XwfviFWseDH07d/n/8tRxqULl+T0X6KbiigYLZdZsjj69O8tf6yLrNF+vQd893jV/38viwsRojD1qROn5eu3a91Bzv/ZACE/I54nzgHinwcIY8ePkd89SXm/b5zextUTLFK0MIaNHCqDJC2atPz/yK2jsHHL15H0/oTImhA1OFs2bS1HUx42eDi0tbVk96eMUvNJjHr3KfSTzCgR391LViyWNSJFlzuh9i+CT80aNf9u3ozZ0+MGAfoRccFKjBIXFhomRyMrXaZ0kj9zSfm8CGXKlYkr+dC319daazVr18Sa9f/88n5F7jfxJXY/Ty2ptX8kdX+/dfOW/N/cwlwOMkOUEWWa4JPIiNi2a6tM8RQHVjFqmaipktPeTv5oT+hLqlPXTjLTQGRkiC4vImItDh4FCuaPW64YDl6kUIofmh/evYeqmpqMqJcuXRLNWjSTRZQFDU2NuDT22HlyvsaP5yfE3NwMpcuWhvN7Z3m7YqWKcX2Xy5QtE9ctqep/hpf90esn1Kb46y2x7y/+aHeJkdRlCyKTZ9P6TYiK+pqa3PY/I0Ukx/b4UYpuxUoVZAFI8SXcuu3PC40nx7YSJyYic+nQwcPw8fZB9uzZZP2p5UuW45PnZ3nF9b+Sc90kxq/2jcR8tlJin0zKuhNXwMRIOqKrouNNRzl6S6HChWSX0b/m/C0fE9vVIqnbZOrMqdDV05XdK0WafvzsqaRsC9HlTtQJO3nspByZRlzRFan/4mStR69/g2BERMlt2IihKFe+HHbt2CWzSyIjImT35F59e8pjlAjGxx7n49dCEvVdxEUVkSn06uVr2UXaysoKterURPuO7eK66IhjvaiBKS4CiG4wIhNABBXED7Xuvbp/U1txzLjR8rgnBgARw62L7lUiE1kUMxbff+LYHWvJ8sVYvnQFTp04JW/b58qFNu1aYeTQ0fK2SbwLMz8ifgzGvq+ChQrIDBKRteHywRlGxsbo0r3zN4NhJOb9ii5Vs2fOke9PdFOav3i+7C4ugnxDhg2Wwa2Xz1/i8MHDaNy0cdxoYsKvRhOL397Y7SBGgduwZR369xkoyyGILkZZrKziij8nRKzXWLG1KlNDQq+rpqoa994MDf+tkzNrzkwsXbIMnz0/QVdPT3YxE+v47Omz8jMav7ZqLHOL7+s5xie6YP2MCOqIwIAI5IiBXWKDT0n9zCV2/xDEiGgiQCKyskUR6ujomG+ynX51f0rtN0n5fCZ2P//R5/hH877Oxw/np5X9I6n7uwjwnzn1tbyD6AaYHEE/orRIKSahNIpMTKTAxl6JEFcMxIGbMieRviz6tQ8bPAJPnzyVVyxWr1uFzEpR+0ZKvq5IBa9UqYK8eiiCUeJK1azps2SgR9i0bWNcTQYiIqKMSoy4LC6ITJ00LS6wMWvuzHTzuqL7fo/OPdG1Rxf07tsrBVoKbFi3UbZTXHC6dutK3KhwlPGl5P6xbct2WWZBZIJdvHbhu4EOiDKKTJP5RPQ74teuEld2RBcEylhEgccZ02b98L5GTRoy8ERERJlCkwbN4OHhIf8WmRcdO3dIV69bsGAB3Lx7HSlJtE3UCHJzdZP/i0wlyhxSav8QeSAH9x+U2Vk9endn4IkyNAaffiCx3bEo4xOfAzEqRtZsNug/sJ88scnMFLVvpOTrbty6AevXbJB97UXRS9E1ThRvr9+w/jeFQYmIiNIz0bVHjDaWEBMTY6ipqyFHzhyyOHLsCLApTXSHU8Tr/g7RdUqMUksZj6L2D9EtcM+B3cmyLKK0jt3uiIiIiIgyuJMnTmHKhKkJ3l+nXm1Mmf5vYXmizIT7B1HKY/CJiIiIiIiIiIhSDEvpExERERERERFRimHwiYiIiIiIiIiIUgyDT0RERERERERElGIyfPApKioKPt4+8n8iIiIi4rkTERERpa4MH3zy9/PH0D6j5P8pxdnpY4otm7gN0gvuB4rHbaB43AaKx23w53julDlwX+H6z+y4Dyget0Hm2gYZPviUGqKjYxTdhEyP20DxuA0Uj9tA8bgNFI/bIH3gdlI8bgOu/8yO+4DicRtkrm3A4BMREREREREREaUYBp+IiIiIiIiIiCjFMPhEREREREREREQphsEnIiIiIiIiIiJKMQw+ERERERERERFRimHwiYiIiIiIiIiIUgyDT0RERERERERElGIYfCIiIiIiIiIiohTD4BMREREREREREaUYBp+IiIiIiIiIiCjFMPhERERERERERJQOzZg6E8uXLE/WZe7dvQ/5cxWUU/VKDsmyTNVkWQoRERERUSYVFRUNF1dvvH7rIafP3gHw9gmEi/N7RIRHQFPHFDGIgVJUMPT0tJDFygrWWYyR3cYU2bOawi6HBbS1NBT9NogytZiYGHx088GL125wdfeBu6cfPrp5wd3VBUqq2oiOUZWZG9GR/jA0NIFlFnNksTBEFksj2NtaIG9uK2hpqiv6bVAmNGrsyGRfZpNmjVG3fh1cvXINk8dPSZZlMvhERERERJQEHp5+uH77Nc5duIV7D53w6kMQwsIioR/1EDFQxReVAvJxBlH3ZEcDf5Wi8rZ+1CMoIxx+KiXlbe3oN1BGJELU8iFfbmsUzm+N0sVzo3qlAshpa85tQpSCvgSG4viZ+zhx+jqevvqMl28+IdD/E/SiXyBIOScilEygEhMMo+jb+KKUB2HKllCOCYNx9E0EKtkhVDkrEBMNw+h7CFGyQYSqJexsLZA7pxEcqpZEpbJ5kDeXFZSUlLgdKUXNm/0XjIwM0X9Q/2Rbpqqqqpw0NJLvwgiDT0REREREv8iIePD4A/Yeuowz5xzx7G2QnG8YdQfRUEOYShF5O1LJQN420NeCiZEetFQrQl1dHbqGlhC/P709tRAUFAy1SH189gqQz1FClMycevLcBR+enMSx3REYolIUObObo1ql/GhcpyQql88LVVUVbiOiP/TmvSd27LmA0xef4MFTNyhH+cMw+j6+KOVFmLIFlKCBaGgiBirQ1FCDpZkVNJSqwNbQErr6xoiMDIO3uwZMVPThGwh4ffZGNNQRo6SM6OgYOL1xge/rXTh/OidClG1gZqoPh4q50aJxRVSrmB8aGmrchulIZFggAr1eKLQNuqZ5oaqh+9PHhIeHIzwiAmkdg09ERERERD8gutJt2X0Juw86wumdJwyi7kMJkYBKKXl/jE5+FMyXA5Uql5EZDrlzWsoudLo6mr9cnyGh4XD+6I33zp/w+JkL7j1+D8erfvD3/xqUevvhE7zensXOzVrQNi+BZg1KoU3TcihZNCczKYiSQHSD3bHvOrbvu45nz17BKNoRQUp2iFbOimjoIVw9D0oUKYFSpQqiQJ6sKJA3K7JlNYWhgfYv97WIiEi4efjhpZMbnr74iAePXuPm1UD4+n39me3z2QNn9h3B/v3HoaGfDQ1qFUfntpVRoXRu7sfpgAg8OW5rqNA2lG5/BIbWX7Nlf8eWjVswe+bcBO/fsX0nABukBgafiIiIiIjiZTmdvfQEy9edxvULR6ER4wFf5TIQqUshKjlRML8tmjaugZpVC8mucioqvzd+j6gNk8c+i5xqV/+aOQUMwHvnzzh/5SnOXHqMq2feISJCRWZJ/bPxHDavX48cuQpiQJ8WaNm4LOvLEP1kP7566yVWbzyD88e2IjxGByHK2QFoIlgpB/LkL4TK5YqjccMyKFEkB9TUfu9nsXierN1mY4pa1Qr/f+5gWTPq6s2XOHzsKi6f/4zICD2EB4Zi975TOLp3LcxsS6NHp/ro1LqyDHIRpZQ27dugWctmCd7/2dUHqYXBJyIiIiLK9MLCIrBh2zksXboOH7y0ASVlqCvpQgmmKFMiBzq2roqGdUrAxOjn3R/+lG02M3RrX1VOoaF9cOrCQ+w5dAsnz9yEdugHvHuthH4jv2DCzN3o1bk6+nWvBWPDlG0TUXohurDuO3wDC5buwhOnL3KeXnS0DB6LIFOrJmXRuG4JZLUywftXLrDNnTIZH2JAgdZNy8kpPHwoLt94jv1Hb+Pg/kNQDfXFuw8+GDdjF2Yv2IPO7apjUK96sLI0SpG20J91eROZR4puw5/YuW0nM5+IiIiIiBRNdJvZsvsq5i09gk+ur6Af/RTqygWgZ2yLru0aoFOrSgor/q2pqYbGdUvKyc+/K9ZsOomtu6/ijbMvAnzd8c+CCVj+zz707NoEA3rWhrmpvkLaSaRo0dHR2Hv4FmYtPARPp/NQgz+gXBb6+jpo3XQgurWrikL5symkberqqqhRpZCc5k5ui90Hr2Pzrmu4+/AdYgKfYts/N2RmY/uWlTF2SCMZuKK0QdRa+pMub2lBG2Y+EREREREpNkNi866LmD1zAUTt73AlMwAmMMheE5MHtEWbZuXTVLc20TVn5KBmGD6gCS5cfYYZs9fh1aM3CAxRwoKVx7F600kM6dsIg3rVgbZW8o1ORJTWu9cdO3UHYyf8hXeemoCSClSVbaBjlBuzBrRF13ZVoKerhbRCtKV7Bwc53bj9GlOmr8Dde08QERmDjTsuYc+eo+jWpRlGDGyU4lmWlDmoqanJKSGf8eNudw8fPETblu0RFR2F8LBw5M9VELly2+PQsYO/3RZ2uyMiIiKiTOW64yuMmrIdDx6/h2H0e6gpGSJn7iIYP6yJ7JKjrPx7dZxSg2ibQ+WCcKi8ELfuOuGvpUdx8vxDKH15hKXz7mDd1ouYNLIZ2jWv8Nv1qIjSg4dPPmDU1B1wvHkdBtFPoK6UD1bZCmD04G5o3aSczDhKy8qVyoVThxfixWs3/LXsCPYeuAjNsHtYt/oTNu26ilEDG6Jft5pp/n1Q2sj8U1NN3pEUCxUuhNsPbn0zT0X5z0Zd5TcSEREREWUKH9280aTNODRr1kkGnkQdGJMctbB02V+4dXo6mtYvlaYDT/9VpoQ99m4cgvMHxyObXUGEKZnD3dMPfUesR6V6E3Dv4TtFN5Eo2fn5B6Nrn9moXm8Qrt16iQgYA0YVMGvGUNy7MAsdW1VKVwEbMVLmusW9cfXkXOQu1hChSlkR8CUEE2duRcmqA2SmI9HPAk+vXzvBytoKyUl8F+ro6HwzaWpp/tkyk611RERERERptIvdivVnUKL6eFy5eh9qMf4w0AXmTmqLOxfmoVWTcuk6S6h0cXvcvLQeG9bNhX0OC6jEfIHrk92o0WAQhk/aCv+AYEU3kShZutht23MVRauMxpkj26EV9Q5aGmoYP7wpntxagz5daqSroNN/iZpUZ44uxqn9U2VxdO2YD/D/cAaN2s5Ex74r4O7hq+gmUhpUrlQFRIRHoHbdWkjrUm3vDA8Px4ljJ7Brx254eXnj8LGDiYqcbd+6A4cPHkFISDDKliuLAYP7Q09PL1XaTERERETp29MXLujcbSzeuHxBhJIxlJQt0aplU0wb1wZmJhmnQLeSkhIa1i6OOtULY97iPVi51B0R0fqykPHBY3ewcGZHNKpTQtHNJPotzh+90LnHFNx+GigzFlWU86NWjZKYP70rsmU1zVBrVXTHu3BoAlauK4G58zcgJlgdB47dxoWLjpg7rQfatagg93ci4cqNS1BXTzv1CX8m1S7x9OjaC2fPnEORYkXw6uUrWbjqV5YvWY7ZM2ajddtWGD5qOK5cviqXI6LeREREREQ/G8VuzuLDqFR/Mjw/3INGjCcK5rPBxSMTsXJ+rwwVeIpPTU0V40e0xY3rh1G/Tlk5L8jzJnr2GIweg1fLLktE6YX43ScKcZet1hfvHh+HRowH7GzNsXfLBOzZMDLDBZ7id3nq37M+7t/YiG7tq0I5JhgqAVcwZOhktOi6CG7MgqL/Sy+Bp1TNfFq9dpXMdDp18nSiHh8aEooVy1Zh+KhhaNq8iZyXJYslalarjWtXrqFi5Yop3GIiIiKidFj74dVr+Pr6yfOm7LbZkRm9fuuOtp0m4MWHKJkloaRRAqOGtMCwvvVlcCYzsLE2wc41A3Hk5B0MGjgKQSHR2HngBi7feIGVf3eDnaWBoptI9FOu7j7oNWQFLt14A8ToQEM5H3p0b4fJo1tkmhEdxYh3S2Z3RuO6xdG371j4Bujj1PlHKOUwDvOmtGcWFKUrqfbtm9TiVA8fPkJQUBCqVa8aNy9X7lzIapMVN67fTDPBp/DgcHi/94VaVPJWl6ek8XbhNlA0bgPF4zZQPG6DtLENrLJaQF07/VwJTC4vnr9A7x59EREeDpvs2eTtPHnzYM361TAwyJhZPj/Kkti08zLGTlgIjdBHUFfOj+IlymHZvK6yqG9m1LBOSVS4fRjDJ27FnkO34OHuirbt+qN+wxZYsbA3tDQz375Cad/R0/fQv99oRId8hJJySdjbZcXKv8ejbMlcyIwcKhfC/dv7MGXuXqzccBaR/o8wfOhDnL7YUQanDPS1Fd1Eol9Ks5d+3N3c5P/mFubfzDc3N4e7m3uCzwsJDkFISEjcbT9fvxRsJfD5gw/OL76Roq9BREREiWdpYw7rfJaZbpVNmzwdWbNaY/P2TVBRUZHnQDWr18aaVWswYvRwZHTevoHoO2I1jp95DMQYIlI1P0YP74UR/Ruk62LiycHYUBcblvaRNZ8GD5kEBLth39HreP72Mzav6IvcdlkU3UQiKTQ0AuNn7ZK1ylRjdKGuZIY+XWvKGm2ZPVCqo62Bv6a2R+O6JdG16yAEfAnGviOOuPPgLdYv6S1HvyRKy9Js8Cky8mtNKDU1te/6NEZERiT4vJNHT+PgniPfzXd5644A76AUucJKREREaYeHyydEqCR8rvAnbHPbIK368uULSpQqKQNPgqGRIaysssj5GZ3jvTdo224Awr64AMrFYZ/TCuuWTEKJIjkV3bQ0pWn9Uihfeie6D1iMizfe4clzF1SuMwKL5vZHm2blFd08yuSevfyI1u2GwM0zCFC2hLF5NqxZOB0OlQsqumlpSsWyeXDn1gEMHrcJew87wsX5Ixo27YsRIwfKYLuoF0WUFqXZ4JORkaH8X1y1i5/95Ofnizx5cyf4vDoNaqGKQ6V/H+/rh6ljZ8EmZxYYmxgneztFan/sVVZS7A8NbgPF4jZQPG4DxeM2SBvboFDFvJmy292I0SMwavhoWFtZIZttNty6cQv+fv7o0av7T5+X2lnjyd3NTnRBGTdjF5Qi1KCuZIAOLSvg7+mdoauTtJIPmYWFmQEO75iAKTN3YfnaPdAMfoD+g3xw6XoL/D2tg8yuIEptuw7cwMDR66EW5AR1JQ1UrOyA1Qt7ys8rfU90sxPZjDWrFMKoUVOgGv4eM+Ztx807Tli7uJfMdiRKa9Js8KlgoYJyCMn79x+gdp1acp44gXrj9BbdeyZ8EqWlrSWn1CJObk1sjWCdO/Ol96cl4go3twG3QWbH/UDxuA3SxjbIjIEnIX+BfChevBjWrVmPbNlt4PT6DVq1bQnLLD8/R0ntrHEhOioa71+5/NEygoLDMHjcUtx7/BaRSqbQ0rLEpKG9Ud+hMLxcP8Mr2VqbMXVpUR6F81lh1IR5CAsywZbdV3HT8RUWT22LbNYmim5ehpcc+0BGEBEZhYmzN+LoxXeAkjLU1ApjYPfa6NKyIkJ8A/DeNyDFXjsjbIMKRbJj29q/MGzyWng7B+P0hcco6zAKi6d1Qb5cab87bUbYBmnB1q1boKuriyZNmibbNggMDMTu3btw7/596Ohoo07tOqhWrfofZYynqeBT3579YGdvJ+sSWFhawKFGdaxYugIVKpaHjo4OFi5YDD09PdSpV1vRTSUiIiJKU3p06Qkzc3NcuXlJli0QGUyNGzRFeFg4Jk2dmGayxgVxovsnXRifv3JF+yFr4fX6ArSghOy5C2L7PwOQL7d1srYzIxPboEWLKqheowT6jViPo6fuwePtRbTv/QbrV09GzaqFFN3EDO1P94GMwMPTD527zsb7h3uhrWQDwyzFse2f/ihVzC5VXj+jbAPxHq5XWIQRk7dh6/ZDCPO4gs4D3TF/zjB0bPXvsT0tyijbQNF69e8BZRVlmJqaJts26NOzLwoUKIDJ0yfIrp2Txk+GZVZz1K1f97fbmWodQpcvWY5a1etg2qRp8nbj+k3l7Vs3HeMe8/79B7i7e8Tdnjt/DrS0tFGiSCkUL1QSZ06dwer1q2QAioiIiIi+8vcPwMMHj9CseZO4epmi5lOt2jVx6eLln64mkTEugkyxk3heWrbv8HVUazQdTm89EaBcANUadMOVo5MZePpNonvOjjUDMXZwXajEBCMk2A/NOi/E38uOym6NRCnh5p3XqFh/Ku4++YQgJXsUKV0VV49PSbXAU0ajqamGZXO7YMbErohUMUdIhA76jliPgWM2Ijw8UtHNoxS2Z9cenDh6IlmXuWT5YgwcMgClSpdCsxZN0aJ1C5w5fe6PlplqmU8tW7dEjVo1vptvnfXfK1Sr1qyAhsa//cxNTEywc+92fPL8hNDQUGS1ycoCakRERET/oaenCy0tLTg7f5s6/+GDM8zMzDLE+hKBkJl/78E/i6YiWskMqur2mD2xO/p0cZClGuj3ifU3fkRrFC9qj15D1iM0IBjT5m7B7XuvsG5pP9bPomS1eOVBzJ01G4GwA5Q00KtPV0wb0xKqql8HS6DfN6BXI1QoWxgd+i7HB+fP2Ll1M54+e4NdG0bCzESfqzaJwoPD4PtBsZ24jbKbQv0Xtfg8PT8hPCJ5B1oRA73F9+7tOxQqVDB9BJ9E0fD4hcN/JLtt9gSfS0REREQ/JkY3EoXFly5ahqioKFnG4OaNWzJrfO2G1el+tYWEhqPfyPXYc/AmdJSMoKmXBXvWDUeV8vkU3bQMpW6NErh01AZtei6G+7ODuHrqFao28sbeDUNgmy1jBDFJcaKjozFp9l4sXbUbBtG+0NEKxdIFg9GiURlulmRUrLAtrhybjDadZ+LlnSt4fE8JVRpOw+71g1EwL7u4JYUIPB0dtlWhn88GCzrAIt/vdyk/sO8gVi5fleD98/9e8MtlnDh2Ao8fPsZf8+fiT6Spmk9ERERE9HuGjxqGQkUK4cK5C7ILnpVVFhw+fhCFCqfv2j0f3bzRsNkgOLkqAUpqyJ63KnatHYQc2XlxMiXktDXHhUOT0LpTBK7eeo0Xr91QtfF07FwzEGVL5kqR16SMTwSQO/Sch1OX3gBKetCxqYs9G0cwGJKC3WmP75uB/sPMse3AQzh/9EaNJtOxbklf1K9VLKVeltKgqtWqyAFJEqIa8/OsqquXr2Lc6AlYu3HNHycFMfhERERElEGIGk9iyigc771Bm66zEOV1A1pK2VC9djOsWdQTerqpN7JxZqSjrYEje+Zi/vJjmDJvHwI+v0HjFoOxZOFEtG5aTtHNo3Tms3cA6jYagM/vr0FVuSgKFymMPeuHwMLcQNFNy9BEN8Z/lgxFmTIXMWzCRqh+uYEu3d9gzJhhGNavHrsrJ7LLm8g8UnQb/sTFC5d+O/NJZFAP6DsIK1YvR4mSxfGnGHwiIiIiojRn/1FH9By6BmFh0fIH6+ABbTF5ZHPW/0zFOlAjBjSAXQ4LDOzbHzERYeg+aBVevfXA+KGNuR0oUV69cUfzzgvx3jkaWkpZUatGBWxY3l8GOCl1dGtfFdmzGqFb1/6IitDG5Ll7ZUajKFCuofF1gAr6MVFr6U+6vKXnzKe7t++ib89+WLx8EcpXSJ6LDqk22h0RERERUWIKi0+dvRmDevdAZKgvNDXUsGb5aEwd3ZIBDwVoWr8U9u3fCk2LioCSMuYuOoSOfZbIblREP3Pq3B3UqNMD7z58QoySGrr27IMda4cw8KQADlWK4OKF/bDLU0Te3rPvBBq0mQlfvyBFNIdSkZGxEfLkzZPgpKLy40L/E8ZNQmRkBGZOm4Va1evIaczIsX/UFmY+EREREVGaEBkZhZFTtmPdphPQRzQM9dSxZ+tolC7O4dcVqUzJ3Lh8bDpadluMN4/P49Kxu6jt6i1r9liYsesUfW/XgRsYPGQyNCKdoKaqjVlTeqNv1+9HPqfUI+rknTswHh36LMGDi+vx1NEZDs3CsX/jUA4okAEu2qgoJ+9okStXL0dYWNg387R1dP5omcx8IiIiIiKFCwwKRZO2U7Bm83lEK2nCxK4eLhxfxMBTGmGdxRin945FkWLFEa5khHuPXFC9yQy8dHJXdNMojf0InrP4ELoPXo3AaCuEapXB1jXjGHhKI/T1tLBv43BUqNUOgcr2eOXkjmpNZuDOg7eKbhr9AdePrn9cDPy/bHPYfpclZWOT9Y+WyeATERERESmUh6cfqtYeiMfXt0E95jPKlcqF84cmyZHXKO3Q1dHEiYML0aNPP1EUCs7ObqjRYCiuO75SdNMoDQgPj0TztmOwdN5kKMVEwsLcECf3z+boammMmpoqtq+fhCljO8rbgZ+eoEGzIThy6p6im0a/oWHdRnj58hVq1Un7g40w+ERERERECvPspau88v7iQzhClLKjXr2aOLJtJEyMdLlV0iAVFWXMmtAGf09rD92Yt1D+cgeN2s3E/qO3Fd00UiA//2A07bQAF689gxKikSunOS4cmoBihW25XdLogALD+tXHusU9oKHkA6VwT7TruRTL151WdNMoiZatXIqLV8/D2NgYaR2DT0RERESkEKfO3UPtel3g8vGzLGbdd0A/bF45EJqaHIEprevTpQYWL52LUM2iCA1XRqd+K7Bk9UnZ7Yoyl/fOn1CtwWhcuv4c4UqmKFq5PS4cmY5sWf9siHhKea2bVsDW7ZuhZlQcYs8dPWUrRkzagqioaK7+dCK7bXaoqaWP70wGn4iIiIgo1W3few0duk+BcugbaCj7Y8nszpg6hiPapSetmlbG0b1zYWKsC9UYf8ycNh3DJ/KHa2Zy7+E7VHVoB++3J6EcE4ZOrSvhwObhMNDXVnTTKJGqViqEc4cmI0c2M+hHP8X2dYvQrtdSBId8W2ya6E8x+EREREREqUZkxizbeA69hq1FSLQJwnXKY8fGaejWviq3QjpUqpgdzh+cAAvDSKjH+GDNplNo32c5f7hmAkdP30OdVnPgE2qKYKXsGD+yDZbP6yprClH6kiunJc4fmgCr7PkQrmSCY2ceoG6rufD87K/oplEGwuATEREREaWKiIhItO40BTs3/Q3lmFBksTDEqQOzUKtaYW6BdMzO1gLXLm2DXfEWiFFSx9FT91Cv5Ux89g5QdNMohUyfuwVduo9DcEg4VDX0sGL5DIwe1EjWEqL0ycxEH1fOr0ft+o3l7QcPnqBq3REc0TIDW7PpHG7dT72RDhl8IiIiIqJUK1YdHiEqiygjV04LWZC4cIFsXPsZgKmxHk7smYiGdYpDM/oj3tzfg2r1x8HpnYeim0bJSNQCGjl5G5YvXQnt6Lcw1leTAwS0alyW6zkD0NJUx5aVfTGwZy3oRr9EoPs11GgyHVdvvVR00ygZRUdHY9z07Zg6biiGTlyLpy8/IjUw+EREREREqXPiqayMHRsnoHHrgTh/ZBayWplwzWewH65bV/ZH40Y1EaFkiPeugXBoOhOO994oummUDIKCw9C25xKs3HAWgUr20LepiXOHp6FCmdxcvxnsOD17YlsMHjUegSr54RsQgkbt/8buQzcV3TRKBmFhEeg2aDWWrDmDYOVs0NZShYpy6oSFGHwiIiIiolQNUIzsU4cFiTNwdtu6FaMwYcoUKCkrw9vbHw1bjMDhk3cV3TT6A56f/FG+cgdcObVNFG5DmZK5ceHYbFkriDKmUYNbYdu6CdDWUodSqCsG9B+Nv5Ye5oiWadCWjVtwYN/BXz7O1y8IVWr1xsFDZ+Tt/IVKYuc/I5E3l9UPH3/q5GkMGzQcw4eMxOlTX5/zJxh8IiIiIiKiZDWgR21sXtEXesqu0Ax7iE695mHZ2lP84ZoOPXvpiqqNp8PVw1feblS3GI7uGCVrBFHGVq9mUZzcPQZ6msFQi/HD1Hn7MHDMJkRGRim6aRRPuQrlUKx4UfzMBxcvODSZBlenG9CKdkHt6oVxcs8Y2WX6R/5ZuRrHjhxDlWqVUbRoYYwZMRa7d+7Gn+BQBERERERElOya1i8F422L0bH7FESGaGPMtJ14++ET5k1uB1VVFa7xdOD4qdvoMXg5AoKVAKWs6NuvJ6aOaSm7ZlHmULxIDlw8vwfNOv0F/7efsXH7RXxwdsf2NUOgp6ul6OYRgBvXbkBXTw+2OWx/uD7u3H+DVj2W4NPnACgrF0GHNjWwZHZXeRz2SmANtuvQFnp6/wamAr58wYljJ9GqTavfXucMPhERERERUYqoUrEgzp9chuadF+Lduw/YsWEZ3rz9iK3/8IdrWrdp5yWMGzEMKjEhUFErg4Uzu6Bb+6qKbhYpgG02M5w7OBltey3F/etHcf/ybdRsFoD9m0fBytIow26T4KAwOL9JKDyTOrLZmUJbR+Onj3n92glGxj/eDgeO3sCgfgMREm0MKFtj8piOGNav3i9HpowfeBLeOL2FTTYb/AkGn4iIiIiIKMXY57DE+UMTUb/JYLg5+eLi5fuo1WI29m4YAussxlzzaXAkrClz92HByuNQVcoObU0l7F07DDWrFlJ000iBjAx1cGjLcLTp7I9rV6/jyXN3VGs8Hfs2DUXBvH8WlEirROBpZPdtCm3DX+vaI29h69967pot5zFm3ALoRH+BllIoiufWxsPre9D5+p64x4weMSbB5z9+9Bh/zZ0PN1c3WFpaYNrMlfgTDD4REREREVGKMjHSxaXTq9BzyErsP3Yfj5+5oEr9Cdi/ZQwKF8jGtZ9GBIeEoXnbsbh19xWgZAZL6xwySFgwX8YMLlDSaGioYf+OWZg+/wDmLTkCNzdP1G44BFvWTUP1ygW4OtOIqKho9BmyEDsOPoIy9BCtUwhjhjT54X6soZFwVpV1Vmt07d4Fnh6e+GfFP9i2ZTt69+312+1i8ImIiIiIiFLlh+umFQORa8FBLFi0ARGez1C7sRc2rh6P2tWLcAukgRHtWnZbhDf3z0MLMShQtCT2rB8CSwtDRTeN0hDRXWvSiGbIntUUY0aOgWrwJzTvPBdL5vZEx1aVkJGILm8i80jRbUiKL4EhaN/jbzy8sgk6SllgZJoNBWxV4XjtLByvff/4n2U+GRsbo1r1r11ts1hlkSPfMfhERERERETp4ofrxOFNYWqghulTZyEwTAMtuy3G39M6oFen6opuXqb18Ol7tO6+FB/dfKCkXAB1axbHxuUDoK3181ozlHl1blMZJkaL0GvgfESEqqDviPV47+KF8UMbZ5iC9KLW0u92eVME549e8nj69MVHaCjZo3DRklg8uwN8vDwTfE5CmU+HDx1Bvfp1oar6NV/p3t17MgD1J5j5REREREREqapvjwbIly8nOvReDj//IIwdNxcvX7lg7pQOHAkvlR0/cxe9e/RFeJQ6oGSPof2aYMro5hkmgEApp0Ht0jh18C8077IIn9zfYcWC2Xjy9B3WL+sPHW0GLlOTi6sXKldrA59QU0BJC02bN8OyuV2hqakGIG+Cz3v/yuWH8/39/FGlfFVY22TFJw9PREZFYdnKpX/URh5RiIiIiIgo1VWtkB9nD4xHVtMo6MW8xsaNu9Ck4wJ4+wZya6SCmJgYLF1zCm16Lv8aeFLWxrJ5XTFtbEsGnijRCuXPhguHJiC7pQZUEYjjZ+6hRrOZMguHUofTWw/s3HcF0cEfoBHjhQnDm2LNop7/Dzz9no6dO+DkuRMYOXo4Vq1diUvXLqBosT/rHs3gExERERERKUTeXFa4fGY5rPPVQ5iSOS5ee4YqDabi6cuP3CIpKCQ0HM3bjse4aZsRHR0DNcMi2LVjEbq0rcL1TkkmRq28fmkTKtbrhRglNTx+6ozKdUfg2q1XXJspXFh85MQNuHD5PsKjNBGsWRYrV8zEmMGNZBfnP6Wnp4dSpUshb768UFFR+ePlMfhEREREREQKY26qjwvHF6F7x+pQiomA3/uTqFFvAA6fvMutkgJcXL1RvdEk3L2yGzoxb5HH3goXj0yUmWhEv0t0s9u+erDMutGI8UCMz2U0aj0O67dd5EpNAT5+gajVaDh2r58ONfhC39QWx/dMQYtGZdLs+mbwiYiIiIiIFEpdXRWLZ3XCtDHNASUVhIYD7Xotw6yFBxEdHc2tk0yu3HyBSg2m4vELTwQoF0SF6k1llyn7HJZcx/THRLaNyLpZvmQcItXtEBali0FjN2HI+M0IC4vgGk4mT567oEqDaXB85IVwGMGmQCNcOzkHpYvbIS1j8ImIiIiIiNKEof2bYufeXTAwzSZvz1uwCc07zZNX+enP6jvNWbgLbVu0gZ/X1y6NI4Z2wZ6NI6Cvp8VVS8mqTbPKOHViPbJnMwNiorBz00o4NJrAOlDJYPOOc6hVrzveffiEGCVVNO8wEOePzEEWSyOkdQw+ERERERFRmlGxbB5cOToZhfNaQj/6CW5e2I8Kdafg9v03im5auuTnH4z2fZZj5oIjQEwkxCBk21cPwPhhTVhYnFJMwbw2uHRkEkoXNoNGzGc8e/YMFetNwekLj7jWf0NoaASGT9qKYSPnQi3cCZqqQVgyuzOWze0CDY3fLyyemhh8IiIiIiKiNMXG2gTnDk9FhZodEKRsJ+sU1Wo+E8vXnZZZPJQ4d+6/Qdkq3XH4+B1ZCNo8d0OcPbYUjeqU4CqkFGdqrIczh/9Chz6TEaFsBh+/ILTsNANT5u2RxbIpcZzeeaBqw/H4Z+M5hCpZQcWkKo7umYVu7aumq1XI4BMREREREaU5Wprq2LFxMlYtHABtLXV5tX/GpAlo12spfP2CFN28NE0E6FZvPo/6TQci9PMtqMEPbZuVx+Wjk5E/j7Wim0eZiIqKMmZO7Ij9m4bC2EANBtEPsHLJItRvOw/un/wV3bw0b+/hW6hWrRU+PjsmuzBWr1wQN84tRNmSuZDeMPhERERERERpVrsWFXDx8CSYmBjL7J0jp+6jbO2JuHjtmaKbliZ5fvZHi85/Y9iELQiKMkeIemEsnDcUqxf2gK6OpqKbR5lUzaqFcPXELJhlL41QJWtcvfkSzXsuk8EV+l5gUCgGjN6ILgNWITDKCOHKlpg0qgUObhkGCzMDpEcMPhERERERUZomsnVuX9+Jhi06y9tubp5o2bo/Rk3ZKmuh0FdHT99DmXLNcOvcFiAmGrnss+DciaXo0raKHImMSJGyZTXFjYsbMbhfS/l5jPjyEgP6DUWPQasQ8CWEG+f/Ll19iuKlmmD7tj3ytlkWOxzYuxKjBjZK13Xa0m/LiYiIiIgo0xBZO2sW9cKm5X1hpOkH7Rhn/LPuMCo3nIpHT52RmX0JDEG/kevRpsdSBIRqIlzJEF3bV8HVY1Nk4WeitEJdXRXTxrbE0R0joautCqWYSOw8cBPl6kzChStPkZmFhkZg/MxdaNDuLwT7u0ENAWhQqxiun5yKCmVyJ/i8QwcO4czpsynWru1bd2D0iDGIjv6zOl0MPhERERERUbrRvGFp3LyyFXlKtUGUkg6evXRF1XrDMH7GDgSHhCGzOXj0FoqWaISdOw/I20YWubB1yzIsndMNOmJoO6I0qEr5fDi4YzlqNOoEKCnB2dkdrdv2R88hKzNlTbdrt16gZIUOWLzqOGKghGiDsliwcDZ2rBkoC7f/TFYbG2TJYpki7Xr+7DkWL1yCXTt2M/hERERERESZi5WlEU7un455U9pBWz0CepH3sWbVKpSuMRHnLj9BZuDu4Yv2vZejQ98VCAt0h2pMAJrUKwnHszNQq1phRTeP6JcM9LSweUV/rF/SC0bagdCKccaefWdRwmEcDhy7nSlGtvT1C8LAMRvRoMUoBHrchnqMF6pWyI9bZ2ajfcuKieou+9HFBe7uHsneNpHpNH7MRAwfNSxZlqeaLEshIiIiIiJKRaL2Sb9uNVGnemF07jERD14G4r3LZzRpPxdNG5TC7EkdYJ3FOMNtk4iISMxftg/Llq2DX7gVoKQMDYuqWDajCxrXLcHaTpSuiOBKqyblUK3SZgwYvgzHzr/Gp88B6NZnOtaWK4n5M3sgby4rhXVnFZmVKSEmJgbHT9/Bui2n4B8kAkzGCNYqjV6dGsv92M3DV06i3p2ertZPl3X3zj0YGRuhZq0aydrGLZu2Im++PChSJHmC2Qw+ERERERFRupXT1gKXz/yD3QdvYtTU7QjzuosLh2+j6NlHGNK3AYb0qZshup+JH6snzz3EuBm74Ox0H7oxb6CqrIvOHZpg6ugWMDTQVnQTiX6bmYk+dm0cJz/jg8asRajbVdy75oEytT6gd2cHjB3SGEaGOqm6hkXgyaHpzBR+FaX//6eE4HAtLFt7Wk6xzh0YjzIl7H976VcvX8WRw0cTvL9zx64/nO/h7oH1azfg0NED8PT0RHJg8ImIiIiIiNJ99kTrpuXgUKUgBg5bgLPnriIkLAqzFx3Chi3HMWlMB7RtVh5qaunz58+d+28wdORcPHn5GRFKhoCSJexy58OOOX1RvnTChYiJ0ps6DkVw98I8TJiWB1v33kRUZDRWrjuBnTv3Y+jgrujVuUaGCCanFnMLcxQrXizB+1VVfnxMnDxxCvoP6gdDI0MGn4iIiIiIiOIThXl3bJyMh08+YMz0nbh2/QEiPl3G8OFOmLekJEYMqI92zSvIEbfSg3sP38kA2omz92EU7QhN6MLYMjumjG4u34eKCsePooxHdDNbPG8ABvdrhXEzd+HciQNQ/vIeU2YpYcma0xjerx66d6gGLU31FG2H6PImMo/+1AcXL2zfew0XL1+HTtQbBCvZQF3XCh1aVkSTeqV+ejwSbfgTnzw/4f69+wneX7hA0R8+5/zZCzAwMMDd23fh7+8v548bPR69+vSEfa7fy8RKH0ddIiIiIiKiRCpSMDuO7xyFA0dvYvyEufD10ZD1oAaOWo3Z89Zh8MCO8oefvt7Pa6kogijye+7yU8yetwbPHt1BoFJuWdcpQqcU+vRoiBH9G0JXR1PRzSRKcTltzbFzzUCcvVQFE6asgNebMHz2CsDkKYswf+Fa9O7VEd3aV4W5qX6KBcF+t8ub6CbreO8Nps9ajeuOrxCuZATE6CFC1QpdOzbH+OEtYGKki7SY+aSnr4fps6bF3Rbd7k4eP4WixYpCT+/nI+/9DINPRERERESUIbviNWtYDo3r7ce+o46Yu/gIXF5dRdgnF4yZHI5pf+1H+5YV0LNjdYUVNI7Pxy8QW3ZdwIYd1+D01hOa0a7QivGFrnYMenWtj4G9asu6OESZTY0qheFwfiXOXHyM6X/vx7sHdxDmp44Z8w/gr2VH0LJRGZkJVbJoToUX3A8JDcfew7ewetN53H/0DobRd6AFVcRomsqA9/B+9WGbzSzV2pM7T245JeT9K5fv5mlpaaFNu9Zxt1++eImFfy9CqzYtoar6+yEkBp+IiIiIiCjDEl3TWjUui+YNSmPXgav4e+EmeLlEIzAoFJvXr8PW9f8gV2EHWTOqRcPSyGJplGptCw2NwLnLT7B933WcPn0B2uEPEKBcAFAyhrZxLnRp1wMDe9Zh0IkyPRFUqlWtMGpWLYRjpxpgyeojuH7HGWGhYTi2cz727toNm1wlZHdUEYxKzQBPZGQULl1/jl0HbuD44f2ICXWDv3IxWUQ8Qrso2rZ0wMiBjVN09M2UDLpZWlpizl+zoaKi8kfLYfCJiIiIiIgyRRCqXYvKaNu8Em7cfo1/Np3D6cOvgOgIPHjyQU5Tpi1F7tw5Ub9eNfkjt0SRHFBV/bMfXP/tiuP80Rt7jt7BzQc7cPPSUQRHGyFCyRiI0YaykgVy5LCRtW5aNSmb4jVtiNIbEWRpUKeknB4/c8aCZftx+ugbRMVo4/UbD0ybuxN/z5mLLLZF0bBeJdSqXlhmRCX3vuTh6ScDx4eOXsSta5fhHWYlg00a0YA6NJAzuxF6d62L9i0qpvhIlH5+frCzt0ux5RsYGnyTCfW7GHwiIiIiIqJM9eNVjBAnJo9JbbH70E3sOXQL9x+9hU70S7x76Y05r79gzuLD0FP1Qq7cuVG+fEkULZgdOW0tZEaFmYneLzMNRPebtx8+wemth/xRfPvBGzheOQn/YBWEK5mJSBSMoj9BVUkVBqbZZbaGyNooWii7wrsOEaUHhfJnw4YVQ+A/pxcOHLstMwhv37oBzRg3vP9ghoWrTmDxyn3QVvaGXd6SKF+2EArkzQr7nJbIlcMS5mb6idqPRcFw549eePbSFdduPMDDu7fg7q+LGCU1qEd/gl6ME1SV9aCjb4HGdVuiZeOyqFI+L5SVU35AgHGjx+PC+YsYOnwI0rpUDz6JaH9UVFSS+wqK5/xpmhcREREREVEsSwtDDOpVR04vndyxa/8lXLzyGHefeCAqMgLqYU/x4ok/7j3zkY/Xi3qKcCUTqOhkg4mxHtSjPaFvaAZNXVPERMfA79NrBIcpIyBUC34BwdCPeoxIJT0EK9vK5xtFfYC6kpEMPuXIbo5a1cahXs3iqFwuL9TUmBdA9DsM9LXRpW0VOYlA0aHjN3HuynNcufkKSqEB0Ix8iyfPTPDwuSfUYnyhFf0Bgcq5oaqhDyNdZeioB8LILAfU1LUQGRGMAG8XRCgZISA4Gv7e7tCOfocg5ZyIUtKVzzeIfgRV5YKIgAlMLO1QpXxdNKpXDrWqFoamplqqbsTyFcqjZ+8eyJEzB9K6VDvChYSEYNL4yThy6CgiIyNRvEQxzJ43G3b2ORN8ztMnzzBj6kw5NKAY9cEmmw0GDRmAxk0bp1aziYiIiIgoE8hjnwWTRrWRk39AsKzhcvFyRTx5/hFPXnkhICAIKgiBMiIQHBKOYFdvmETdgIdrFgQpfx0RyzjqhgxOBSrnkbdjlFQQA2UoKyvJoubFCw1G+TL5YGOqh6rVizLDiSiZZbcxxaDeDeQk6rrduuuEi1ce4NFzD9x98A5B/t5QQpToiIvw8Ej4en1CVMxzfHAP/39wyRsG0U/gp1wEkUqGEOkvygiXzxFZUjly5kXBPJVQtkxhVK2QH/lyWyl0P27QqD7Si1QLPk0cNwl3HO/g5NnjMDI2lulhXTp2xZkLp6GpqfHDDKlunbujZKmScLx/E9ra2tiyaSuGDBwG+1y5UKBg/tRqOhEREVGKEhfm/P39oaOtA00tDqFOlBYyKRrVKSEnQVwId3X3xXuXz3jv/FlmV/j5B8PtYy6ERipBQ1MXykrKCA+xh7GJMbJkMYeZsZ7MbrLLYQFbG1NoaKh9M8IUu9YRpSxdHU04VC4op9gYw2fvL3jzzhOv37rD3dMPnp4+cHdzg5KqDqCsgoiwUCC6NEzNLWBspA8rCyNkszGV+7DYn8UyKQ0Hn3x9fHFg30HMX/QXbHN8TTmdPG0SypYohzOnzqBh4wbfPcfP1w+eHp5o1rwJ9PW/DinavmM7TJs8HU6vXzP4REREROna61evsXP7Lly5fFX+LU6KBTNzM5QrXxZNmjZG1epVU6VmBBH9nNgPbaxN5FSpbF6uLqJ0SAR8zU315VSuVC5FNyfTSZXg08OHj2TNptJlSsfNMzc3Q067nLJL3Y+CT0bGRqhRqwY2b9oqK7dr6+hg66atyJLFEpWqVEqNZhMRERElu/fv3mPm9Nk4e/osChctjMpVKqFLt84wMDBAcHAwPNw95PlRv94DYGVthfETx8KhpgO3BBEREaVbqRJ88vbylv8bm5h8M1+kpHp7f73vR2bPm4keXXqiasXqsti4oaEhVq1dAWNj4wSfExIcIutLxc+gIiIiIkorBvQdhDJlS+Pi1fPIbps9wcd9+fIFhw4cljUzRSFRcdGOiIiIKD1K1SEVYmKiv70dHZ1gX+fQ0DC0atoahYoUwuZtm6ClrYVd23ehY9vO2HtoDwoWLPDD5508ehoH9xz5br7LW3cEeAchJURHRct+26Q43AaKx22geNwGisdtkPG3gW1umz9exvbdW+NKCvyMnp4eOnRqj5atW4gR2YmIiIjSrVQJPllYmMv/vby8YWOT9ZuMqGLFi/3wOTeuXce7d++xffc2GBgayHkdu3TEls3bsHfX3gSDT3Ua1EIVh0rfZD5NHTsLNjmzyEyrlCBOcpPjZJS4DdIz7geKx22geNwGipcetkH8wFNgYKAcVOVHdZ1i79PQ+H5gFiIiIqL0JFUqWIp6Burq6rh+9VrcPFdXV7x9+w4lS5eMmxcaEoqwsDD5t3i8EBER8c2yIsLDf3oSJjKkRJApdjI0MkyBd0RERET05xrVayLPh5J6HxEREVF6opxaV/jESHUL/l6E24638e7tO4wePgZ58uZGdYdqcY9r2qg5xo2eIP8uVqIYrLNaY+L4yXByeiNHvlvw10I4O7ugTr06qdFsIiIiIoURF+A0/n8xjoiIiCg9S7WaT+MmjoWmliaGDBwmM5xEoc2/F/4FVdV/m6ClpQUNja8nWSLNfNvOLZj/1wJ06dBVZkTZ2dlh3aa1KFa8aGo1m4iIiCjZ3bh+E8FBQXKglJvXb+LDu/dx94n6Tu/fv8fnT59h/v/SBURERETpWaoFn9TU1DB67Cg5JWT/4b3f3LbNYYulK5akQuuIiIiIUs/4MRPw9s1b+feEsRO/u19PTxejxo5kvSciIiLKEFJ1tDsiIiIiAg4fP4ioqGg0qd8Ei5YthG2OHHGrRUVFGbq6ulxNRERElGEw+ERERESUymKDS8fPHIOmpiaUlJSSbdmiVMGTR0+gpq6GAgULQEVFJdmWTURERPQ7GHwiIiIiUhBR79LF5SOWLV6G24534ObqhmOnjuLC+QsoVbokihQtkqTlHT50BJPGTUYWqyzQ09dDWGgoVqxeDmtr6xR7D0RERERpYrQ7IiIiIvre82fPUcehLpw/uKBl6xYyYBSDGOQvkB9/z1uQpFUmRhQeMmAoJk6ZgBNnjmH3vp2YN38uvgR84aonIiIihWLwiYiIiEhBli5ahtZtW2HHnm3o278P9PT05Pyy5crgjuMdfPmS+MDRsiUrUKZsGTRv2SxuXp68eZA3X94UaTsRERFRYrHbHREREZGCvH37Fr369vpuvrKyMoxNjOHr4xsXkPqZ6Oho3LpxC0NHDIG3tzdePHsBM3Mz2Oeyl8v6mZDgEISEhMTd9vP1+813Q38qOCgMnm7++OTmD1+fIAT4hSAwIBSeHp/h6ekGA30LKEMNX4IC4O3zEVksbKGnpw8llWhERYcii5UlTM30YWiiAyMTHZiY6cLcygCqqqz7RUTpQ0xMzNfjnps/PN394ecdBD+fQIQER+KLfwg+ODtBRVkdejpmcuAOz8/voa2tDUtLG2hoqCE6JhRGpgYwtzCCkWnssVAPphZ6ckAPUhwGn4iIiIgUxMDQEE6vnVC02Le1nYKDg+Hj7QMTU5NELScwMBChoaF48vgJNq7bBNsctnjz5g3MzMzwz7pVyJo14ZpPJ4+exsE9R76b7/LWHQHeQUgJ0VHReP/KBZlVcFA4XJ394PrBFx8/+OLFi5d47/IUBmoFoaysBt/gV3D1v4zcZq2grqoPv+DXcPE7B3uzFtBSM0VA6Ad88DmBnCaNoaORBYFhbnjnfRjZjetCXzM7wiL98dHvIiz1SkFP2xqGJhpQ1QpCrlz2yGFvgWw5jGFmoZOpt4GiZfZ9IC3gNlB8kMnPOxjPHt6Sx0F3F3+4ufjh0cuzUFMyhYFWDvmYZx4bYKiVC9aGleTznntshq5GVtgYVZe3X3rugKaaEbIb15G3nT7vg7KSGnKaNpK3PQIcoQQlWJuUgZmFHnSNAJtsFsie0wzZchrDxEwnWQf9SG+iU/hYZJvbJu5vBp+IiIiIFKRmrRqYPWMOjIwMUb3G1xNpYfHCJShdtjR0dHQStRx1NXX5/70792S9J0MjQ4SGhKJ1izaYMmEK1m5ck+Bz6zSohSoOX0/qYzOfpo6dBZucWWT2VUoQJ7rxT0gzMvHjyc3ZF4/ufsDzh2548cgVL17fh+eX27AzbQwVZQ34BL+Fq98taJvngIayITRUDWCklQcqqmowNNaGmVV+2ESaw8LMDtpa2oiKtkDeABvo61ggJloNAf5a0NSrDS0VK0SEANExEYiJiQKUlBEdFYOPH53xxms/Xj13gKF2LkRGhyIg/BWKFCyDkmULonDJbMhfJCu0dTUUvboyjcy0D6RV3AapS2QpvXf6jAeOb/Do3ju8f+EH789f8Przbuhr5oSlfmn5uE/+T2ConVsGn0RQyEy3CLQ1TWFsqgNdfS0YW7WCpqYOTI2tZVanjU97xMQoQ0fDDGGhkYhSL43w0Ki41w2L9IUSlBEZEQ33j/54++AQomMiYW/WXN4fqfIJOeytUb5iSRQplR15ClpBXSPzhEnep+KxKPOsVSIiIqI0pnPXTrhy+Sq6d+kJXV1dhIeHo1XT1lBXV8fu/TsTvRxNLU3Zza5q9aoy8BQ7r3bd2li3ev1Pn6ulrSUnSj6iy8jd6064e+M9Htz6gHcfH8LV7yJy/T+TSVlJFWrKWoiKDoNVVnOUsK0FC6sWyJbDEhbWBrCwMpTdRbR1NKCsnLQr8hHhkfDzCYafTxA+eQTA7YMv3rz+CLOHqogINEB4MBAa4QVXn+tQe2IEF6cQ7N50Ab4hL1C8cCWUq1wEpSraIXfBLOyiQkR/RASXbl56hRuXnuL1Yx8EBYbimcdGGGrZw9qwMpSUlKGtngWaaoawzm4MW3szNM2yDFY2JrCwNoSFlQGMTYdAQ1MtCdlJXeW/oaER8PMKgq93e3zy8JcXAVw/+EDrthe8Pv1bT/Gd+yU4e2rA5WUEdq27geAoF+TJmxNVa5aVx0LRpsycGZWcGHwiIiIiUhA1NTVs2LwOZ8+cw83rNxESEorceXLJouH6+vpJWla16lXh/MH5m3nitrmFeTK3mn7ks0cArp59gVuXnXDb0RHvvU8jh0kD2U1OQ9UQBlr2MDTRRskyeZGnkAPs8pjDNpc5dJI520hNXRVmlvpyypU/S7x7WsgsLFFHxem5By6dKYUvvkp4/ewT/P084RlwB69fZMfHtyHYtvY0YtR8ULNWTVR0KIDi5XLIH39ERL/i8s4bF08+we0r7/D2lSdeftoOLTUzZDeuJYNNFnqlYGVlgypVC8HETBOlKnVENjtTaCbzMUYszzKroZzyFYnf9bwhoqNj4OrsA6dnHrh9wwavn7vCyxWIiIjCh8/n8dn/OVxeR2DLiivQ0A9C9ZplUMGhAAoWs4GKKutGJUvwSaRZjx45Bv+sXfXbCyQiIiKixBMFwWvVrimnPzFo6CA0rtcE40aPR/kK5fHkyRPs27MfS1cu4eZIIb7eQbh27iVOHLqOSzf2wFy3GHQ0rKCmrA8ddSvo6mmiikMB2ZUjf9Gs8iq+Iq+gi9e2tDaUU9ZsOrKrhfix9eqpO25cbII3L3zx4qEbPge+hcenm1A6ZozLp15DVSMSpSrao27T0rKLHov2ElF8bi6+uHLmBa6eeYHLjttl196cpg3lMcdctzhMTU1Qu15RFCmdHfmL9JdFwP/t8hU/SJ46REapja2JnKrVKyDnhYaE49lDV1w6Y4+nD97jk0sUoqIicPflDrx1vosT+yrLbtAVHHKhev3CyJXfkhlRfxJ8Co+IwN0795K6DCIiIiL6Ta9evkJOu5xQVVXF58+fsXb1Opn11L1nd2hqJj4rRhQVP3LiEDZt2IxjR47BIoslDhzZh4KFCnLbJKPIyCjcvPgK61btgotTILTUzBEVHY6wSD9ERAcjZx5zlKlcHiUr9IV9Psskd5tLbWpqKihQNKuchODAMNy57oSjBy7i4+sofPEPhcsnRzzYsgFXz3SGqZkRKtfOh5qNCiO7namim09ECiKCNVfPvMTGNbvx/OVDWBlUlPO11S0QHROOgsVtULqSHUpW6I6stsZpPlCjqaWO4mVzyEkQXZdvXHqJg7sBZ6dAOc/rszfmLVmGrZsqomDeMqhatwAcGhSUmab0a+x2R0RERKQgVy9fxep/1mLzto3y9sC+g/Hh/QdERkXK/+fNn5uk5VlZW2HshDEp1NrMzf2jL07su4eLJ17A28sfzz12Ql/TVo64lDOXFTr1W4nKtfLBysYI6ZkoOl65VgE5RUVG4/FdZ+zeaoDrV4zl8OYi22vVyiVYuTIGNaq0Qt1mRVG+ep5MVaCXKDN7/cwdW9edwLM7/ggNjsCnL68REPJOdqcrWCwnKtV0QAWHPDA21UV6Zmisg7pNi8tJ1I+6d/0djuy9Co+zOaCpagRXZ19sWHESC/5egBoODdG8fSUUK5sjzV9wUCR+SxAREREpyNYt29Cxcwf5t7ubOx49fITrjlcRGhqKapUcMGP2dFl8nBRD1Eh6dNsZB7ffxoGja2RXkhwm9WXB8CI5W6N+00qo2bAIstubZchNJGqbFC1ji6JleiMstBvuXHuLiyefYd+hS4iOjsKzB65ymj9jGxo1r4bG7crAnBkARBmOCERfv/AKh3bcwc1bF/HR7zzsTJvKLKeCeSuhVqNBqF4v42YAifpR5avnltP4gHa4dv4lLp54hstXz+DTl3u4cz03Hjt6wtRCG3Wbl5BBeT0DDuTxy+CTj7cPKpT5d7jdhJiYGOPw8UO/fBwRERER/ZjzBxdYW38thOroeBslS5eMG63O2MRYdsOLvZ9Sjxgx7tThe9jwzx6E+30NLGmqmciuJKL4dp2mRVCqkp0c5juzEAXHRTaDmPqNrokzhx/j1MGHcHP9hBfv98Bt1RMc3f0AlWrkRdOOpWGXx0LRTSaiPxT4JRSHdt7EmlVroBxpAR11S+hrZoe1UXlUq10ajVuXk93r0nqXuuSkq6+J2k2KyMnNpQ52bTyP25dcZRflx6/O4drkddi5ri3qNi2Bxu1KwjyLgaKbnHaDT+LqWsVKFX75RD09vZRqExEREVGmYGpmKguD5y+QD2dOnUWZMqXk/KioKDkQjImxiaKbmKmIekfH9tzHkV138fL9ZXh+uY1cZq1hapIFLbv0QZ3mRZnZA8DIVBetupVD885lcOfaG6xZDji/CkZ0VAzOHr+LHbvXoHL5+ujQq6YM1mWmH6ZEGYGPVyD2bryOs0eeIjAwCM6ed2GqWxjZbXKhYesqqNV4pAzCZHaim/XQic0RPioSV8+9xOql3nB6q4SIMODwzrvYseUQqtUoh/Y9qyMnA/LfB5909XQx9+85itl6RERERJlI02ZNMHbUOGzfsgPPnj3DqDEj5Pwb126gRKkS0NTiyX1qXd3fue4C1qxZBT21vNBSM4Gxdn5ks8mNzj2bokbDgrIYLX1LjHpXpnIulKk8Ca4ffGSXnD07D8A76BmePMiPKYP3yhGh2vWqiBLlGYQiSuu8PL9g3+ZbWL12AcIjQ2FrXEfWeqtfZQhada4i67uJ7rj0LVHzrnq9Aqheby5ePnHD/i2OuHbuKd57ncLeA8/heMlFBuLb966I3AVSf3S/tII1n4iIiIhS0bu372Cd1Vpmmzdt3gRaWpp4+PARJkweh2zZs8nHvHr1GiNHD+d2SWGBAaGyntPRXffg7++Hz/4voaJviBKliqB5x9IoWdGOxWMTyTq7MfqNqSV/XO3aeBGXjr9BgF8Irt48gnPXtqJaubbo0KcySpTPyUwoojTG080f65Yew+1L7oiMiIKqkj6UVDVRpoo9WnQqg7yF2f07sfIUtMLYuU3g5lwZ/yy2wO0r74EY4Pa1Fzh2cjscqjdCz8F15WiomQ2DT0RERESpqHuXnli9/h/Y29uhV/c+mDhlAurUq/PNY7r16MptksJDhB/acRcL5s9DeFgoshpVg6qKFprVHo3O/RwyXQ2T5GRgpI1eQ+uhU59wnNj3AAv+vo+wLzF48+Izpg7ZB9vcRug+qKYsZE5EiuXnE4Rd629g26adcPY5j1xmLaGlboJmTdvKrrU5cplzE/0mq2zGmDq/h1zHh3fcxaZ1u+AV9Ah3buTEs7ufUbqSHdr1rpip6uN9E3zS0dFGrz49FdcaIiIiogxOV1cHXwK+yL+dXjshLCxM0U3KNCIjo3B8313s3XAbvt5BiIoAlJSUUaSUDdr0qCiDTpQ8RDfFph1Ko27zTTi+9z4ObL0Nby9fHL+8EHfuXUTNGo3RZUAV1kEhUoDgoDBsWHYcpw89RnSEJnTUbGCuVxxVahZH5341YJOD9QaTi6GxDjr1ryyLj29YXh1XTzkjLDQCx08cxKFj29CqRWd0GVA1UxQm/0/wSYfBJyIiIqIUVKx4MQwfMgJlypaGl5cXFs1fDH39Hw/kMnTEEJiZfR1tjX5fTEwMrp17iQWzNuDh6yNyiHANVQNUr9wCnQdUQYGiWbl6UzAI1axjGdRrWRx7N13GsqX3oK1iifs33+PuDSdUqG6P7kNqw8Iq4//wIlK0iIgonNz/ANtWX4Tjy9XQ17SFjZEDKtcsgg59B8DGlkGnlMwKHTKhObr0C5I1oVasvIKQcD9cPvUCNy44oWHr4mjVtVyGLuTObndEREREqWj4qGHQ0NDAk8dPEB4Wjvfv3kNTU+OHjw0PD+e2+UPPHrpg9d+n8OaFD8KjNKCtZo4sNoboP6IpSlWyY/e6VKKpqYYOvR3QtH1FWdD40PY7+Oh1D+t2bMW1i8/RtG0ltOlRHrp6GfeHF5EiA/BXzjzBotnbEBFoLOdZG1ZB8eJF0X9000xdBFsRmVDdBldDk/alsHnFBVw49kJ2//570QTs2VEWvQe2Qf2WxaCmnvFCNRnvHRERERGlYaKb3aixI6GqqorqlWtg0bKFsv4TJS/vz1+wbvE5rN8yE9rq5vKHlpVVFoyatgxV6+aXI7VR6tPR1UCnfpVRv0UxzJ+uhTOnw6EcoyWDUScP3UD3gfVQq0kRbh+iZOL81gtrFpzH8dPb4R30GHnM2yFPPjt0HtBCjsDG+naKYWyqiyGTGqJZh3JYPGs3Xp8ORmhwBNYtuoBje+6jx9BqKF3ZPkNtHwafiIiIiFJR6+Zt4wqOU/ILD4vEnk1XcXDrfYSGRMhuJbo6JugysAoati4hh8QmxTMx18OspX3R910rbFp2CdcvPseDN9sxfsxNnDzQHL1G1GB3SKI/HM1zwfTtuHnRBSrQgpluYViZ58KQMa1RrV4BjuSZRmTLaYr5a/uho2MdbFp2FU7PPfD01XX07r4P9Wp1RL9RdZE1g3SH5LcvERERUSrS1tZGcFAQ13kKdCu5ddkJMyeswLN3J2Fv1gLqqnpo374bOvWrBCNTXa7zNEgUNp4wvxkcr77G5NEfEPZFB29ffsLoHltQrro9eg+vA1OLH9dEI6LvRUVG49TBh1i/7BTuvl4LI+28yG5WDS271ECLLmWgrfPjbt6kWEVL50ThjTlw6eQzTJ3wGP4hgXjk6IoBbTagUdsSaNO9PLR10/e2Y/CJiIiIKBUVKlwIY0eNR8VKFeDj7YN1q9fBwPDHxZZ79u4BE5OMccUzJbm5+GDlnNN44OiMsEht6GhYwy6vJYZMaMZaJulE6Yq5cOTSShzfcx/bV1/DB4/b2LBjG25efoZOfWqjaYdSUFVVUXQzidK0549cMGv8Rvh5iCCFsiwmXtWhMvqNrA/LrIaKbh79grKyksxKK1NlLXauvY4jO+8iPCIcCxdPw6G9ZTF4THt5f3rtivfT4FNgYCDW/LMW9+7ejxsSOJaRkSE2bFmf0u0jIiIiylBGjhmOv+fOx82btxAcEgzHW7ehrq7+w8e279gejD0lLCI8Ens2XseceZOgpmwAK4MKyJLFGmNnLkaVOvnZrSSdEcGlRm1Lym03Z6IqTp/2Q0ykJjYvv4xzRx9i4IT67IpH9AOBX0KxZcUVrFu/At6Bj5HbvC1y5cmBnsNbo0ip7Fxn6Yy2joYsSl67SRHMm7wdr855wc/PHwunHMfZI4/Rd0ytdDky4U+DT8MGj8Dd23dRvUa17+oS6Okx/ZWIiIgoqYyNjTFr7kz5tyg4/s+6Vaz/9Bse33XGijmn8fG9D1SV9KCuqiuzY9r2rAAt7R8H8yj9DEk+e1l/dH/RHCvnnMGLx84477gSD9pcRLsOndBlQFXoG2opuplEaaK78cmDd7B5+RUE+kfCRKcQ9HXM0Xd4I1njTkWVAyukZ9bZjbFoQ3+0PF8Nm5ddg/tHP1y5egEX6x9FnwG90KZbhXRVxzDBlkZEROD82fM4f/kssmXPlrqtIiIiIsoEdu3bASMjI0U3I13x9w3G7AmbcPjYZmQzrgU1FR3UqNwG/cbWgq29maKbR8nIPq8l5q1rjwPbrmPu7BvQUjPDmUOPcfPia3QfUh3V66ff7idEf8rN2QeLZxzBvhN/yYEVrA0ro2rN4ug5zIF10jIQJSUlVHQogFIVcmPPhpuYv+A8QsK9sXvdDVw7+wr9xtRKN9ltCQafoqKioaWtxcATERERUQoxMzODm6sbli5ehkcPHyMkOBg57XKiW89uKF+hHNd7PNHRMbK7wcalF/HZyw0R0cFQ1QzDgJHNULNxYXaxy6BUVJTRolNFONTbibWLLuDyqef44HYfQwcfRq397TF4UqN02f2E6E+6G29fcwmHtj9ARHgUTHUKwdraHmOmNkepihxFNaPS0FRDh76VULn2ViycdhBOT33g+sELvTuOQZNmLdF3ZB2ZNZqWJZiHp6mpAWtra7x88TJ1W0RERESUSTg5vUFthzq4fOkK8hfIh4qVK8LPzw/tWrXHlk1bFd28NMPV2QftGo7BpDFz8MU/FJpqxujdeTq2Hp2I2k2LMPCUCYjRCkfOaIhpy1pBW18ZkdEhePHIE4PabcTuDTcQGRml6CYSpbiXT9zQsvYoTJszEEHBfjI4229gX2w7NomBp0wiW05TzF/fHYMm1kGkyid4fLmFY4dPok+LtThz+JHsipnuMp/Cw8NRs1YN9OjaC/0G9IWNTdZv7lfXUEfpMqVTo41EREREGdLKZatQvmJ5LFu5FGpqanHzd27fhbmz5qFdh7ZQUcm8I3yJTPzDO+5g66qreO1+F5FRQSiSvyr6j62NwiXTRzcDSl7Fytji2KV/sGv9dezf7Ch/s8yaORUnDjpg/JyOsM9nyVVOGU5oaAS2rbyCwzvvIiRcCzrqWZC7gBVGTG2J7Hamim4eKWBUvJqNCqN0pZmYPSEPntzyR2BAKOZM3IRTh/JhxLQWsLQ2TD/BJ1FNXaSAC2NHjfvuflMzU9x54JiyrSMiIiLKwJ49fYZpM6d8E3gS2rRrLYNPbm7u310AzCzevf6E4f1mIcTHGKrKmshuUg0tOldAu54VoaaefgqsUvITBXY79q2MyrXyY+qodXju8R5v3rzF8K5b0LT916LzoosKUUbw6M4HDO4zTo5oZ6lfBob6phgy/m/UaVaUWZ+ZnIGRNuYs7yM/I8tmncTFO9vhdu4a3r0MQOcBVVC/ZTGZHZdWJPjNbWpqAsf7txJ8Ylp6E0RERETpkcgk/xLw5bv5IpsjJCQEGhoayGwiIqKwd+NNbFp1FC88jsBCryTKlqyLwRPrImceC0U3j9IQkfGxZvdI7N5QGvs2PUBYaAQ2rt6HE0cvYcKsrihUgoMmUfoVHBiGDUsv4uT+h/D18xZj28nMvwET6sDcUl/RzaM0pHDJ7Fi6vRsWzdLB2SMPEB4WidV/n8Xpw7cwemZr2OQwSdvBJ2VlZZibc8QQIiIiopRSsWIFzJoxRw7wYp/LXs7z9w/A1IlTYZPNJtOdi7184ooZYzfBz0MVaspGyG3ZBN37NUfzzmWgqpp5ux8SfnpBvG2PaqhWtxiWzTyJvcf2wCMAGNtbE/VaFEOXAVWgrZv5griUvl059wTjRkyHjlI+qKloI7dNLfQeXosjPFKCRLbn6Gkd0KyNA5bMOIm7Dy7g6eWbcGrpgm79G6FZx9IK/x79Zc7y3Tv3sHrVaji9fiNTwgsULIBBQwYguy372RMRERH9iT79e+PmjVuoWa02rKyyQFNLCy4uLtDT1cPq9f9kmpUrMlZ2rLmOZcsWwjvoGXKbt0GRYnkwcGJ3jmRGiSLqm0xf3holK2XDhuWnER2mhON77+HsqasYM60TSlf6GtwlSssC/EKwduF5HD90GR8/34WVgRbq12+MPqNrwthUV9HNo3QgV/4sWLCpE1YvNMKm9YFQhSG2rLiCK6efY8iU+rBTYAbxT4NPhw4cwpCBw1C4SCE53K9IAXe86YjaDnWx9+BuFCxUMPVaSkRERJTB6OnpyXOqk8dP4tGjxwgJDkFOuxxo0qwJ9PUzR7eKh3feY9nM4/D4GAgT7YLQ1TRDv5GN0KBVcZZ5oCRRUlJCk7blUblmYayadxZHjuyDu/s1jB0QhDoNq6LXCAcYGKbtocgp8zp95A4WzdoOlUhLaKmZoGTurhg8vjkqOOSRn22ixFJTU0H/UU3QoHlFLJl+Ai+euODM9ZW43/wKevXrijbdy8vaeantp684b87fGDdhLHr26RE3LyoqCqOGj8HihUuxJhNdkSMiIiJKCeJHRd36deWUmYQEh2PdojNYtnqKHLnJyqAiSpUrhAHjR6TJUXoo/RAZIuPmNUHJSjaYM0UNWkrmuHzqOe7eeIX+o+uhYs28/DFPaYavVyBW/XUWu/evhl/wa+S16IAaDUqg5zAH6BtqKbp5lM7r4s1b1x471l7AvL/OQEVJG3s23MSNC69kHcW8ha1TtT0JVg0X9Qa8vLzQtUeXb+aL4X579ekhR2chIiIioqQJDQlN0uPFhT+RfZ6RPH/khgFt1uPUgafQ1bCBkb4NBk6og+nLWzHwRMmmVsMSOHR+ORwaFEJUdDjuvt6M4YMmY+bIA/D+/H2hf6LUFBMTg4M7r6FXi5W4fv4VLPRKoWiu1pi2pAOGT2vAwBMlW128Dr0dcOL8PlSoUFHOe/LcEZ1bDcXq+WcQHh4JhQef1NXVEBUZJUda+a+AgIBMOfoKERER0Z9q3bItFi1YjM+fP//0caGhYTi4/6CsB+Xi/DFDrPjIyCiMG/gPho0YDNeP7nJe4/rtsev4HNRqXJjZKJTs9Ay0MHRKPYyb1xTmxvYyy+7WJSf0b7UeZw4/kgEAotT22SMA4/tvxYiRveDkelHOa9CiPLYenYhSFe24QSjZWWczxowVbdBvbC2ERrnBP/Q9Du+4gzljT+LNS08otNudlpYWihQtgtHDx2DmnBkwMjaS89+/e48pE6ehQsXyqdJAIiIiooxkzrxZmDppOpYtXo7yFcujRMniyJEzh6zxFBIcDDc3d9y/9wCXL12Gro4ORo8fDTv7nMgIxEg7kZFAVHQo1LTCMWJSa1SulY9BJ0pxFR0K4My17di07DKO770PF88HGDnsBOoc74ChkxrCwsqAW4FSXHR0DI7vvYPNK64hJCgcZrrFYJM1N8bPao0ipTigF6UsZWUl1G1WFMXLbcPCKQfx9J4n/H1DoKunCYXXfJo+axq6deqOMiXKIWtWa4RHRMDN1Q358ufD0BFDUqWBRERERBmJOI/auXe7HFF45/ad2LV9lww4xdLT00XpMqUxY/Z01K1XR442nJGMndEB+tpGGDihAQyMWPyZUo+2jgb6jq6JSjXzYlCfcfD9/AVP7nyUXUA79a+M+i2Lyx9nRCnBzcUX4wYtxbW7e5HTpBE01PTRrWdXdOxbCZpa6lzplGosshhg9qpOOHvkMbw8fFIt+P7T4FP+Avlw7vIZHNx/CE6vnaCuro78BfOjQcP6svYTEREREf0ekfEkptiSBn6+ftDW0YaxsTGUlROsjJDuGZnooEPvcgw8kcIULG6DE5fXY8vKSziy8z6Cg0MwdeJ0nDlaF6Omt0BWWxNuHUo2UVHROLLrrhzu/ktQGNRV9GBhrYdxs9qnesFnoviDndRsVBjvX7kgtfxyfD0dHR2079gudVpDRERElAmJLndiIqLUoaGphh5Da6ByrQKYOGw5nro/wcP7WTCofSDa9qyAZh1KQ0U14waBKXU4v/XCkN4z8NHZFRb6paClYYjRI2crbKh7IkX65hMfFhaGixcuyWLi5cqXlX8nRDymarUqqdFGIiIiIiKiZJe7QBZsPToVaxaWxJkDTogIj8LKBTtx5pgjxs5sgxy5zbnW6bcGV9i32RE7117Hu08vEBH1BdntTTF0Sn3Y5bHgGqVM6Zvgk79/AHp37wNTM1McP31M/p0Q8Zg7DxxTo41EREREREQpQk1NBf1GNUG9Zp+xaOpRHLu0FR53HDG0UzhadC6D1t3LQU2dWSqUOK+fu2N43xkIDzCDmoo2sptWRZseldCyS1k56AJRZvXNUdTMzBRPXz2WdQY0NTXl3wn5nVoEYijT589eyJFcRO0oMaJeYnz58gWvXr6GZRYLWFuzXywRERERESUvW3szzN/QGXmXGOHwTkdZq2fnums4e8IRY2e1RZ6CVlzllKDwsEjsXHcd29adxEuPUzDXK47K5Rpi0MS6yJbTlGuOMj3V/xadEjWeYsX/+099/OgqR87z9fWFgYEBPn36hIWL58OhpsNPn7dw/iKsXrkGuXLby2KAhQsXwl8L57HgORERERERJStR56nPsCZo1KIylsw4iYtXjuLp3dtw7+SNVh1roL0YmUwzY41ASX/u8d33mDluA4J8dKCubIi8Vi3Qe0gzNGpTEioqrB1GJPx0TxA1oJyc3sTdfvTwEaZMmob9ew8kee2NGDISJiYmuO54FWcvnkb3nt0weMBQ+Pr4Jvicf1auxrrV67F7/04cPn5IPq9KtcqIiIjk1iMiIiIiohRhlc0Ys1a1Rf+hnZHFqATUlA1wcPsdDGi9Bo/vOnOtkxQUGIYVc06ja9shuPVkG8IjA1CohA3W7x+Npu1LM/BElNjg05KFS3H65Om4elAd23XGtSvXMH7MhCQFoETW080bN9Grb0+oqX29UtCjV3dEREbgxPGTP3xOeHg4Vi5bhW49u6JQ4UJx8xs3bQxNTY1EvzYRERFRWubi8hGjR4xB9co1kNcuP944vcXa1evw8MFDRTeNKFNTVlZCx161cfDsapQonxNR0eG4fH81eneciOWzTyE4MEzRTSQFEeVkzhy9h17NluHEvgcw1S0CO8vaGDyhOWasaAMrGyNuG6KkBJ+2b92BDp3ay7/Pnz0POzs7nLlwCvPmz8XunXuQWM+ePpP/FyxU4JsufTly5Ii77/vnPIefnx+qVa8GN1c33L19F58+fU70axIRERGldc+fPUcdh7pw/uCClq1bQE9fDzGIQf4C+fH3vAWKbh4RATC31MeUxS3QZ1R16GpbQEPVECf3P0TfVmtx/fwrGYigzMPTzR8TB25Hv35d8OzdOTmvSs1i2HViDuo1LyaDlkSUhOBTQEAAoqKjoK+vL2873rqNGrW+1mcqWrwoXF1dkVj+fv7yf0NDw2/mGxkZwd//633/JWpCCXt370WzRi0wfepMVC5XBcMGj0BUVFSCrxUSHAIfb5+4yc/XL9HtJCIiIkpNSxctQ+u2rbBjzzb07d8Henp6cn7ZcmVwx/GOHHSFiBRP1MZt1Lo8zl3dh1p1q8l5r987om+vAZgwYDvcPyZcSoQyhqjIaOzecA39W6/Hw1uuMNEpCFvrYpg4vxnGzm0CE/Ovx28i+rEExwwVJz/hYeFw/uCMLFZZcPH8RSxbuUTe98nDE+bm5kgsdfWvXe1CQ0Pjut0JISEhUFNT/+Fz1FS/Ns3dzR1Xbl6SzxNp6I3qNUahwgXRtXuXHz7v5NHTOLjnyHfzXd66I8A7CCkhOioa71+5pMiyidsgveB+oHjcBorHbZDxt4FtbptkXd7bt2/Rq2+vH44qbGxiLGtjxgakiEjxjEx1ZaBBZDyNH/kE/iHBeHjrIwa02YCWXcqieafSUFNP8CcWpVMvn7hh0vBluPvsMOxMm0BT3QA9evVA+94VoaX949+zRPQt1Z9F9xs3bYRmjVvIDCUtbS0UK1FM3nfh/EU41KyOxMqaNav838Pd45sTKE8PT1SuWumHz7HJ9vXkrknzJnEBKzv7nChRqgTu3L6bYPCpToNaqOLw7zJF5tPUsbNgkzOLPIlLCeIkN7lPRonbIL3hfqB43AaKx22geOltGxgYGsLptROKFivyzfzg4GCZwW1iaqKwthFRwspXz41jl9dg++qrOLLrnrzIPnvOFBzeWwUjp7ZHsTK2XH0ZgK93EDYtu4hzR58iPFIZmmomyGZngtEz2sI+r6Wim0eUrvw0LD991jTky58P3l7eaNO+tbwKFx0dLbvk9enfO9EvUqhIIRgYGsji5bly55LzRBFNd3d3VK7yb6Do/r0H0NXVkY+xs7dDVpuscP34b/c+0Z9a1H+qWKlCgq8lgmRiIiIiIkrrataqgdkz5sDIyBDVa/x7YW/xwiUoXba0rJFJRGmTto4Gegx1QI2GhTFz3Ea8uO4CV1c3TBqwGxVr5EH3IdVhasHMxfQoMjIKR3bexYwZk4FodVgZVICBgSn6j5qP+q2KcxQ7ouQOPqmrq6NLt87fzBMBqGkzpybpRcRyRo4egWlTpkNNXR2mpqbypKpm7ZooWapk3OPGjR4vC2zOX/SXzLyaMHk8Rg4bJbvgZbPNjuNHj8PTw+O7NhERERGlR527dsKVy1fRvUtP6OrqytF+WzVtLc+ddu/fqejmEVEi2Nqb4Z+dI3B0T0XsWnsHAX4hOHrkGI4dO4je/buheeey0NT8t/QIpW0Pb3/A6r/PwfmtF2KilKGirIpq9fKjy8CqMDbVVXTziDJm8CksLEwO/2tvbydvP3r4CPv3HUThwoXQrEXTJL2QGDXP3MIchw8eQWhICDp0bI/O3Tp985hixYsiu232uNt16taWRcrFyHo3b9xCTrucOHnuBKytrZP2LomIiIjSIFFaYMPmdTh75hxuXr+JkJBQ5M6TC81bNosb9IWI0j4xwlmj1uVQrU5RbFp+GavXnUJ41BfsWHMNZw8/QeeBVVCldj55gZ3S7ih2cydvxokz25DduDbUVHRQsXQL9B1VC/mK8PcnUYoGn5YsXAodXR3YD+gLf/8AdGzXWRYa37V9l7w/qQGoWrVryikhs+bO/G6eGO1FTEREREQZkcgq/9U5EhGlD3oGWhgwrjbqNCuCZbMP480zP3z29MPwQeNQqnh1DJ3QAnkKWim6mRRPYEAodq67jmN77iMw2AuR0SFQ0wpHv+FNUatxYXaxI0qN4NP2rTtw6foF+ff5s+dhZ2eH/Yf34siho9i2ZXuSg09ERERE9L2IiAg4f3BBSEiwzALnCHdE6ZsoRr1wY09cv/AKC2dshY/7Uzx7YoERXUNRuXY+VK1lB9vcim5l5hYREYX9W25hzuyZiIlSg6V+GWhrGGNwnzno1K8q9A1ZR5goVYJPoqh4VHRUXMq3463bqFHLQf5dtHhRzJvzV7I2hIiIiCgz2rBuIxYtWAx/P/+4TKgWrZrL2pfsekeUfokudhWq50GpCpOxeVU5nNr3AqEhkThy8Bj27fdDu/Yd0b5XZZiYsSh5aoqOjsGVM8+xYfEFeH8OQlh4KFSVlVG6kp2s62STg6OMEqUE5YTuEFfcwsPC4fzBWV6Nu3j+IsqUKS3v++ThKbvfEREREdHvE1nmc2bNlYXH9xzYhSMnDmHOX7Nw66YjhgwYylVLlAGoa6iix+B6WL2/l+yOFxjuAt+gVzh94DF6NV2DjUsvya5flLLEyOk3LrxC6zpj0atXB3h6esv51cq1w8YdSzBxQXMGnogUkfkkIvWNmzZCs8YtYGRkBC1tLRQrUUzed+H8RTjU/Hc4YCIiIiJKuv1792Ps+DHfjORbqHAhlKtQHlUrVIOPjw+MjY25aokyACNTXfQfWxtNO5TG0pkH8eTuZ4SFRmD+wsnYtqkguvVuiwatisu6UZS8Qadr555jx7prcHbyRUh4FFSUNaFrAAwY3QCVauaTBeOJSIE1n6bPmoZ8+fPB28sbbdq3lmng0dHRskten/69U7hpRERERBlbVFS0HO33v2xsssLUzBRRUVEKaRcRpRwrGyP0HlYD0THqWLXgKJxOBiIkJATbV1+TNYhqNyuCFp3KwtBYh5vhD7vXOV5xwuZV53D66nIY6+SHhV4JZM2aA8O7tUOufEawz2/LdUyUFoJP6urq31yJE0QAatrMqSndLiIiIqIML3+BfLh88QqKFC3yzfwXz1/Iq/VmZmYKaxsRpayceSww75/u6Hi3BravuYYndz/C0+c15i7YiP3bG6FJq2po2qEUzCy/1uClxIkIj8Tx/XewfcNJBPtoy3mGWnawMM2G3oNqyBHsRFfI969cuEqJFBV8CgsLw8ULl6ChoYFy5cvKvxMiHlO1WpXUaCMRERFRhlSpSiUM6j8YHz9+RMVKFaGhqYEXz15g04bNaNikIa5evhr32BKlSkBLi91xiDKaQiWyY3aJ7HjxyBWL5m6B740XUIrWwZFdd7Fvx1mUr1IQrbtWQ95CVopuapoW+CUUJ/c/xOEdd/Dg9T4EhXsgr0UHmJoZoPvQ8ajbrCg0NNUU3UyiTOub4JO/fwB6d+8j07yPnz4m/06IeMydB46p0UYiIiKiDGne7L/kAC+7duyWU3wb122UU6yzl87A3t5OAa0kotSQt7A1Vm0bgzcvu2LPhpu4fv4lXLwvYtvek7h9+aMMPjVqWxLlq+eGqqoKN8r/vXnpia1rTuDosQMw1y4NZWU1mOuWgImlNrr3q49qdQtATf2nHX6IKBV8sxeamZni6avHsmudpqam/Dsh4jFERERE9Pv2HtyNyMjE1XUyMWHhcaLMwC6PBcbMaQzXDz5Yu8wUV88/lINBvXjshnNXR8DKLA+at26Imo0Lw8bWBJmRKNR+/sQjnD74CE7PPiMw7CO8Ap5BV80WpUqVRvNOTVGqkj0LiROl1eCTOKjp6Pxb2C7+30RERESUvDiSHRElxDq7MSb/1U12Jztz6BH2b7uCl59c4O1riANbb2P/FkdktdNA8/bVUaF6HmjramT4AuJP77vgwvGnuHDqLh6+3woL/dIw1SkIA51s6Fl3Jpq1ryAzyIgo7WH+IREREZECicLiDx88grOzM8JCw765r3bdWtDXZ7FhosxMV08TTTuURqM2JeF4pT5OHXqI+zedERDshpNXD+PZ0+cwNciN4uVyoGKNvChdyQ7aOhoZ5vj45oUnrpx9js2b1iM8WBXGOvkQE6MGI+3csLbMjnZdq8ChYSEYGH4tLk5E6TD49MnzE+b/tQD37t7Hl4Av39xnYmqCY6eOpHT7iIiIiDIsUW+zU/vOeHj/a7caUdYgKioqbtThEiWL/1bwydfHF46Ot5E1a1YUKJg/BVpORKlNRVUZ5arllZOPVyAO7LiKXdu/QDU8KyLCo3Dm1Dls3/sXclrURtlKhVGqgh1KlM8JUwu9dLWxRFfkp/c+4vC+C7h94xliQkzlfA+v19BQNYCVaWFZ96pa3dYoXCo7u9YRZYTgU/8+A+Dj44s6dWtDR/fbLnjskkdERET0Z1YuXwltLW3cf3wXzZu0xD9rVyI6OhoTx01CwUIFkdMu529lCgwZNAzXr15HsxZNMffvOdxMRBmMsakuug+sg24DauPlYzdcPfcSB/e6w/NLFGKi1HHrkhNOnzyNoHA3lCpSD6Ur5kHhktlklzSRSZXWutO9e/0Jty4/x/XL9+H5AQgNicA772MIi/RFHvP2MvDWrN5A1GxUDGWr2ENTS13RzSai5Ao+BQcH4/69B7h9/xaMjI2SulwiIiIi+gWRXT5o8AB5riUyn0TgKE/ePFi1diUqla2C0eNGQUMjad1nVq9aAyUloEjRwlz/RBmcOG6IgJKYug2u9jUQdfYFbl12gucLbwSEvsfHd/5wfX8b61dvlcGc0kXrI3/RrMhTwAq2uc2QLYcp1DVSpxqLOMaJrK3Xzzzw4PYr3LvzBF8+ayEwIBQuvudle/NbdoGSkjKym1VCkZJ2qFG/NEpVyAk9A61UaSMRpYwEjzLKyipyxDtDI8MUemkiIiKizM3byxuWWSzl33p6evDz84srRG5goC9LINhks0n08h4+eIgNazfiyMlD6NuzX4q1m4jSHmVlJeQrYi2nHsOqw/VDC9y++hoPbrngyX0XBPt5IijcHc5vveW0aeNahEX5w9akJqyyGcEiqzasspoga3ZzmGfRh3kWAxgYa0NXV1NmHiVWSHA4fL0C4eMVJANNnq7++PjBB48fP8Zrp0cwVC8iH+cecBNegQ+R37IbVJTVYKJTEHnsS8ChZgkUL5sThUpkg4amWgquMSJKE8EnTU0NFC9ZHMeOHEeDRvVTtVFEREREmYHIApBpSgBy5LDFuTPnUbpMaTi9dsKnT5+TdBHwy5cvGNR/CGbOmQ4zM7NEPy8kOAQhISFxt/18vwbAiCh9Z0RltTWRU9MOZRERHgmn563x5P57vHziiecPXeEREI2YmGjZ7e3jex9cv7cLwRGeyGvRQS7DO+gZIqICYKlfFto66ohS8UE0QpDVogCUVZTwJfgTgoJ9YGqQS3aT8/jsBG9/Z5hql5DP/xz4EF6BD5DXoqPMZPr05QE8v9yCrkVuqKpowUw/H/LmKYxy5YujcHFbFCqZDYbGHG2dKKP6aX7ltBlTUK9WA+zfux9ZbbJ+c5+uri5GjR2Z0u0jIiIiyrC0tbWh/P/gU4dO7dG2VXucOnEKnp6fUKdeHZkNlVjjRo9HpcoV4VDTIUltOHn0NA7u+X4QGZe37gjwDkJKiI6KxvtXLimybOI2SA8UsQ9oaQGlymeTU0xMSfj51ISbiz9cnf3g7uIHtcdF4OvrH/f4kIjPchK5mcFB4XDxdURgmAsiAr4Gt938r8In+AUKZukhb3sGvMPnwHsw1ioKZSUVqKvoQ08zO6AUBTNLA+QqWB2WWZrCxtYcWW2NYJXV8JuMKj8vHzmlFh6HFI/bIONvA9vcNokLPs2b/RdCQ0Ph4vJRFh6Pz4jd8YiIiIj+yNGTh+P+LlGqBPYf3osL5y7C3MIMzVo0S/RyLpy7ILOmZs+biVMnT8t5fn7+cP3oKm9Xd6gGNbUfd1+p06AWqjhU+ibzaerYWbDJmQXGJsZICeJEN/4JKaU+bgPFSivrv1i5+Lday3+DA8PwySMAn9ybIcAvBIFfQhHoHwo3txwyw9JQ31xmS/n5myEsPATWWWyhqaUGVbVi0NLWgJGJHoxNdWBspgsjU10YmehATU0FaU1a2QaZGbdB5toGCQafQkNCcfLEKezcu12mfxMRERFRyhIj3IkpqURR8gqVKuDokeNx87w+e8nudHt375MZUQkFn7S0teRERCRo62rA1t5MTkREyeWnmU86ujoMPBERERGlceUrlpdTfC2atISdvR3m/j1HYe0iIiIi+nnBcS1NmJqYyIKX9rnsubaIiIiIUqDg+J5de3Dm9DmZqSQLkMezbNVSZM1qzfVOREREGTP4FB4ejqrVq6Jrp+7oN6AvbP5TcFxdQ51ZUURERER/YMO6jZgzcy5q1HRA0WJfhx//7+jDv0uUTbDMYsHtQ0RERGk3+CSKVIoTImHsqHHf3W9qZoo7DxxTtnVEREREGdjJ4ycxY850tGrdMtmXzVGJiYiIKM0Hn0xNTeB4/1aCT1RR+XdYTCIiIiJKusjIKOTPn4+rjoiIiDJn8ElZWRnm5hzhgIiIiCilFC5aGHfv3PutEe6IiIiIMsRod2FhYXBx+Qh7ezt5+9HDR9i/7yAKFy6EZi2aplYbiYiIiDIMEWwKCQ6WfxcrXhQTx03Cl4AvKFi4IFRVVL55bIlSJaClpaWglhIRERGlQvBpycKl0NHVgf2AvvD3D0DHdp1hbm6OXdt3yfsZgCIiIiJKmpHDRuHtm7ffzPt73vwfPvbspTNxFwGJiIiIMmTwafvWHbh0/YL8+/zZ87Czs8P+w3tx5NBRbNuyncEnIiIioiTae3C3rPWUGCYmxly/RERElHGDTwEBAYiKjoK+vr687XjrNmrUcpB/Fy1eFPPm/JV6rSQiIiLKIIyNGVAiIiKizCXBIev09PQQHhYO5w/OiIiIwMXzF1GmTGl53ycPT9n9joiIiIj+zKuXrxAZGSn//vz5M2bPnIPlS1cgNDSMq5aIiIgyduaTkpISGjdthGaNW8DIyAha2looVqKYvO/C+YtwqFk9NdtJRERElOFcvXwVq/9Zi83bNsrbA/sOxof3HxAZFSn/nzd/rqKbSERERJSyNZ+mz5qGfPnzwdvLG23at4aysjKio6Nll7w+/Xv/+asTERERZWJbt2xDx84d5N/ubu5yZOHrjlcRGhqKapUcMGP2dKirqyu6mUREREQpF3wSJztdunX+Zp4IQE2bOfXPXpWIiIiI4PzBBdbW1nJNODreRsnSJWFoZChvG5sYy254sfcTpZaYmBiEB4UhxCcQoQGhCA8SUxjCA0Pxxe8LfL18oK2siZjIGPj4+8L9sztsjKyhEqMM30A/uPp6wM48O7Q0tBAUHgxXPw9kM7WGvp4+olVjEBQZDFMTU+jo60JVUw3q2hrQ0NeCpoE2tAy+/q+uqwlllQQrhBARUUYKPhERERFRyjE1M8WTJ0+Qv0A+nDl1FmXKlJLzo6Ki4OfrBxNjE65+SnaRoREIdPeDs08YfFy94PbGBRoRajLY9MjpKZ59fI2qZiVlGY573s9x4/ND9MrdAmrKqrj1+RFOu9/AkHwdoKemgwc+L3Dk4yX0y9MaJhqGeOb3Bvucz6KHfTNk0TaDU4Azdrw/gU45GyK7rhWcg9yx6c1htLatg9z62fEp1Adb3x5FfevKyGNgi+DIEJxzv4Vipvlgb5kDmsba8Fb+gpw5c8A8myV0TPWga64P/SxG0DTUlm0kIqJ0HnwKDAzEmn/W4t7d+/gS8OWb+4yMDLFhy/qUbh8RERFRhtW0WROMHTUO27fswLNnzzBqzAg5/8a1GyhRqgQ0tTQV3URKx9lLwd6B8P3ghc9vPRDo6gc/F284Pr6L157vUNOqnHzcGbcbcPR6gnGFeshAzivPt7jmeR/lTYpAQ0UdWqoaMNM0QlRMFNSgihxGNqivrQGTrGbQ0dJBCWstZM1pA3srO+hoa8MowhI5/XLBxigLNNQ0YBhiDrNcWZDNyBqaympQ8dNCM43ayK6XFWpQh2q4Cuz0bGQgSwiKDMXLgA/IqWeDUP9guH/2wLIXO1DPuhJKmORHeFQE9jqfQSmTgshvaQ99a2MEa4cjV/7cMMluDgMbExjamEBFTUXBW4CIiBIdfBo2eATu3r6L6jWqwd7e7rvR8IiIiIjo9zVt3gRaWpp4+PARJkweh2zZs8n5r169xsjRw7lq/9feXYBHcbRxAP/nLjmJu7snJCFGggV3hzpSpJS2UHd3d6NCoVA3SmmhQLECpbiTECSEQIi7XuTke3ZS8hEgaJKD5P97nuXYvd27vZnc3dy7M+/QRdHV61ByvACFh3ORsn0/DqUegpfWUQyVk3oR7SpOxcPhk0Vw6VhBJnYXH0Rf1wSYyuSit5GTrQPsAp1h7WSDyVbhmOU4E1aONjC3t8RIGzUUViooLVQws1DCVGHa4kGy+6rrUFOuEcEm6XZc2QRoSqtQU1qNwuwCTLPXwV5vBZMaE1TX1aC8rhJ1+jrUV9fh+IF0vJf6Dfq7JqK7c7QIkm0q3Iv40GhERkfB3t8JDv4usPd3hspazb8oIiIjafbbo76+HmtXr8XaDasbG0JERERE1LKGDBsiltNNmz6VxUznZNAbRKCp4HCOCDZJveT2HE5GX5cuTXoyPRYxTQSXvCxcIA1MUztbwtHXBXe6RuMxN3vUGLQIjAuElYutyLtkLFJATGGhFIu1W0O+szMNx03iVq/VoaqoEuPz70BFdgnKsoqRm56NG8yGwbHeWuxTWleBdTnbYSFTQ10kQ+3KOvxyfCW6OkUhOiACjiFucA51h0uYBxwCXCBv4WAaERGdW7OftjqdHmpzNQNPRERERERGoq3TiiBTXkomclNOYs2Gv7EzJxm3+A0TgZvkvFRszt+Lbo5RUMmV6BEQj77de6NzTBTs/ZwxytsRtt4OMFM3nTUx43Am7Hycrql6lZnKYeViIxa3SK/G7SMxHnqdHpX55SIw1y25L8pOFKH6ZDmKMjJQqdVAp2+4P/tkNuZ89gSGePRElGMI7PwdYR/oDO/YALhGeIlk50RE1IbBJ5VKKWZXOXTwEEJCQ1rhqYmIiIiI6MwhdPmpWcjanYHc/ZnYsHUjNuTsxJSAUTCTmUGj0YhgSrWuRiSsHxczCjND7oJrqCccg1zFULmOSJoZT+o5JS0+XYMat9dV12JyxiwUHc1HwaEcHNyVgsBcbzgobERPqgN7D2Dury/jOu8BCLXxg7WPPWxDnBGUGCYCXEorDtUjImrV4FNdXR0GDhqA6VNnYObdd8HLy7PJ/QqlAgmJCS1yEkREREREHZGU86j0RCGydmWIgNOGf/7BiuMbxexwlmbmMNEDCpkpqnQ1CAjyxPhRcXgwwhNOoe5i5jfO9nZ+CnMlXMI9xYKRQG8Mx+Tye1BwKBsFB7ORvG0fEioi4ayyF/vvS9mPb5YsxXi/YQiw9oK1jwM8Ynzh1zUYLuEeovcVERG1YPCptLQMH33wsfi/NAvLmaQrLTv2bLuMpyQiIiIi6rik3jhZO48hc9tRbF2/BUsPrhWzuTmq7KDQmcLKzBx1JvVwifBE54huuKfTI3AO8xB5kejKSYnHvboEiCV2UhIm6u5CcXo+cvYeh2LjLiTV5MBd7QQYgC17tuGPpW9iSsAYeNm7wSXKE95dAsWxls4NeaaIiOgKgk+Ojg7YtntrswfK5bKLeHgiIiIiIqrIK0Pm1jTsWr0dP/+9GF3sI+Bu7gR9jRZV2hpUaTUI9AlCp5h4TIuZBddIr7PyNFHrDdmThixKS+T1iZiguwNFaXnI2X8CdSvliKzOhqPSFvWaOvy+bCk2LdiDKYGj4RXgDe/EQPh0C4JTiDtMZFJqdyIiuqTgk0wmg7PztZWEkIiIiOhak5l5Eh9/8DG2b9uB7Kxs/PnXUvy99m90SYhH5+jOxj49uoLhdFKi8EMbkrF40WJYV6vgYe4sgkyHyzLgb+EJf1dvJPYNx7jYCXCP8YGFgxXL+yoJRjmFuIkl6vpETK+5Fzn7MpG1Ix0nlxfBo9IZlqbmKD1RhJW71iPz7VzcEj0S/t1DRSDKLcobcjMOzyMiOt0F5xatrq7Gvr37RWNIp9M1blepVBg5esSFDiciIiKiZqQeSMX1Y25EVOco3HDT9fhy7nwYYEB4p3C8/ea7+Ob7r1h212DAafPi9Ti2PQ2WVWao09djccpKxDt0EsEnD39PLLhxNvy6h4i8TVKgg65uZioFvBMCxNJt5kCUZ5cgc3s6MrcfRd2K3ajSVqOuRIODf+7GD9/8AJlCjnEjRsOne5AYnmeqMjP2SyAiurqDT/v27sOMaXciPz8fer1e9IaSbiUenh4MPhERERFdgY/e/xg33XIjnn3hGbH+y08LxW3Xbom4bfJ0VFRUwMqKvWGu/oBTDg6tTUbW1nSU55bg3QPfwMfCDTf4DoLSVIFnR9+PmP5dxCxs1u52xj5lukJSHXYaHSeWfk+MFkGo45sO4+SOY0guPQKDAei8LghH1x3Aybp8RPeMRczQRHjE+bFHFBF1WOcNPj371PMYPXYUJk6eiLEjx2HTto3YsnkrHnvocTz34rNtd5ZERERE7VB6ejpm3DXjrO3SBT97B3uUFJcw+HSVKjlegLQ1KUhfn4r52xaiRl+LSf4jITORYaxvP4TFdkLi8J4i4KS0Uhn7dKmVSEngA/qEi0Vbp0Xv3SNxYO0eFO/NQXVpJX46shybsnfjxm0nobBUwj3BD6EDOkOvYn4oIupYmg0+abVaHDhwAD8u/AEVFeXQ6/RQKBTo1TsJz7/8HObPXYBBgwde0pPl5uRizeq10FRXI7FbIiKjIi/62I0bNmL3rj0YNGQgQkJDLul5iYiIiK5GNra2SDuShuiYzmelPSguKoaDo4PRzo3OVl1cKXqz/PL1z9ibloxRXn3Fdh9Ld9RDC494PwT0CsNEBpw6JFOFKXykBOSJgeK3k5SwXPWzA3L2HBcz51WWV2LWR48h6ac4JPklIK9vOAL6dRK5pUxMGIwiog4afCopKYG1lRVUKmlKV2vR7fvU0LuwsFCcOH78kp5o29ZtmDrpNiR2TRANqXfffh+z7p2JWffMvOCxx9KP4eEHHkVubi48vTwZfCIiIqJ2YeCgAXjt5ddhZ2eLfgP6NW7/4L0PkdA1ARYWFkY9P4KY4ezIhgNY+t1iOBSqRRDhZP5JnKzOR52hHv5dgtGr1zB4M+BEp5FyeXlE+2JS9Azo6nXI3p2BPSu2oXNBKNzUjqivrMGO3zbhjU/excDIXug5ti8C+3WChSOH2RJRBws+SWOV8V8EXgpAOTo6Yv3f69G3f1/8u3ET7OztL+mJHn/kSYwYNRxvvP26WE/qnYQH7nkQI0YOh4+vT7PH1dXV4Z6Z9+Hxpx7F/fc8eEnPSURERHQ1mzz1VvyzYSNum3I7LC0tRbvnxrE3id7mPy/60din12EZ9AZk7zuOQyv3IXNzGrZm7cWyrH8wLXAMPMxdMKLbIDzQ/yEE9gmH2o4BQjo/aeY7r4QAsQx97HqRrDz5z53YunkrkkuPIjY7DDvmr8eGuX/BIsgOvW8YIGbNM1UyUTkRdYDgk0xmAnNz88b1adOnYsZtd8LLyxMZGcfxwsvPX/STHEw9iPSj6Xjr3Tcbtw0bPhTPPPks/lqxEjPuvL3ZY6WrgcHBQRgxagSDT0RERNSumJmZYf7X87B61Rps2bQFGk0NgkOCcN0N42BtbW3s0+twqooqcGRVMtYvXI2vdv6KoR5J8LfyRLiNv7gQO3DccIQNioKtt6OxT5WuUVJAya9nCEyczTHoqXEYt/JmnNyYhoLUbOwuSsXalG2YlZoLFzsn+PcKQ9DACDiHeXBYHhG13+CT9AW7YdO6xvXb75wOP38/7N+/H9HRnUUPqIt1NC1d3Pr7+/3/iU1N4eXlhaNpR5s9bs2qNaIxtmzl0ot+Lk21BhqNpnG9tKT0oo8lIiIiamtSSgMpj+al5tKklqHX6pCx5QgWzv0JmowyeKpdoNCbwEZhBVOVGYKHRCGwXwRcO3nCRMa8PNRylJYqxI7rJpayk8XwXPQP7P6wg72ZDeqr6zD3q/ko/aICE7qPQdiwWAT17wSllZpVQETtK/hUVlqGZ556Fh/O/qBx24BB/cVyqaqqq8StlXXTMczW1laoqqpuNjn5Y488gc+++ETM8iIlQL8YK5auxOJflpy1PTM9B+VFDefR0qSEghmHM1vlsYl1cK3g+8D4WAfGxzpo/3XgG+zVao9NbUv6sZ+ybBcy1h1ERVE5FqT+BF9LD3j6uMAryg9zHv4EvkkhMFMpWDXU6mw87TH43tEYdPco5Ow9jsOrk7H6hy2o0lajPLMEWz9fg5/f/xbxfRORcF1PuEjBUCYpJ6J2MexOLsPfa//f8+lKmKsbhu9VVlTC1s62cbuUxFxKIH4uH384G3Z2dtj87xax6A16sX3VX6tQW1uLm8ffdM7jhowYhN79k5r0fHrhiVfh5e8mpixuDVIjl41R42IdGB/rwPhYB8bHOjC+a6EOnnr8aeRk51zUvq+8/jLc3N1a/Zw6Cinx8/FNh5H65258vuxrlNdXYpL/SJjK5JjW+Xp0G5GETsNjYevJWQbJOKTede4xvmLpPnOgmF3x8F/7kHcoC7+k/4WteftQsOUEbLzsETo0GoH9I6CyZm8oIrqGg09SbyMnR0ckJ6cgIqLTFT2Jf4C/uJVyRUX/F3zS6XTIPHESw0cOP+cxPZN6wNbWVgSaJAaRAR2o12pRV9ew7VzU5mqxEBEREV2NpMTi1jbWje2bP5csE22X6JhoqNVqkSvzxPET6N6jG+RyubFPt12oLCjH+u9WYtmiZYi1CBHbXNWOsFFYwqOLH0IHR8M7MQAyU5Y3XT0UFkqEDY8RS+GRXFgscEbWjoZ0JvkZuXj7kVno656AwcMHI2RoZ7hGerE3FBFde8EnabaVYSOGYfrk20W+p4DAAJie1gBSKBVISEy4qCcJCw8VM9r98tMviI7pLLatXLES5eXlTfIb/Pj9TyLXlDS0b8iwIWI5RRp2N/ujT0Si8rHXjbnc10tERERkVE88/Xjj/xd8+RUK8gvw2dxPGxOM6/V6fPLRp9i8aTOcXZyNeKbX/ox1mTuP4tCyvcjcdhQbc3djbe5W+Ia4wsvTE3dNugvBAyNh4cTE7nT1cwxyxYRXpqNeU4f09alY/9NqmKSbwNQgF72jUtbsRp09MHjiCAT1j4CZmsNFiegaCT6VlpaJoW+Sl55/+az7HZ0csWPPtot6Emk88mtvvIJpk6ejuKhYHPvbr4tx932zGntFSb6a/zXCO4VfVl4pIiIiomvNkt+X4pHHH24ys52UgHzWvTPxxZy5KC4uhr1966QNaK9qK2pwZPV+rPx+Gb7evghjvfvB08IVcQ5h6NezN5Ju7i+mvJdSTBBda6SgUsiQzmIZlzYRB5fvQfrfB7DlxD6sStmM6twKeM13R9DASISNiOEQUiK6Fma7c8C23VubPVB+iV/Y3Xt2x6p1K0WPpxqNBgu+/RLxXeKb7HPLhJvg7HzuK3xSQ+zue2chJLShqzQRERHRta66ulr0Nj+T1PtJW68VE7Mw+HRx8g9lY+kXv6FgbxYcTW2g1JnAVmEFudoMEeO6IHRYNGw8GMij9sMx0AU97xmMxOl9EbpkC+y/coCLzkHMlPfVvK9Q/MmHuHXYzYgc0wVeXRhwJaKrNPgk9VZSq1Ui99OZpPwElZWVl/xkXl6euO32ac3ef+uUW5u9Two+PfzYQ5f8nERERERXq7j4WLz+yhvw8/cT7SSJRqPBqy+9Bhsba3h4uBv7FK9qeq0OxzYeQsriHchKPYH3DnyDICtvjPMZAM8wX8x55FP49wqFqdLM2KdK1Kq9oRJu7IUuNyQhd38mDizZhb9+/he5NUXI25spllpLHbpd1wdhQ6OhsmmYDIqI6KoIPhUUFGLYoOHnHFp3vvuIiIiI6OI8+MgDuHX8FPTt2U/kx1QqlSLZuKmpKT6ZM1tcfKOz1ZRV4+Dyvfhs9mfIKcnDKK++UMjMcEvgMHQd2APx1/WAUwhnCaSOReo84BblLZauM/ohZekupK1KRmVROT7Z9j2WH1iP674fCP/eYQgfHQfHQFdjnzIRdSDNBp/Op76+DkoFk9gRERERXQlpSN0fyxZjxbIV2LdvP2o0Nbh5/I0YPXaM6PlETRVnFGDVl0uh2VsMXZ0WZRXlqNbWQO1ogcjRXTBxcBSUVpz1mEhKpJ8wtQ/iJiYhbX0KTnxSBJMCLXT1OqSu3INPv5mLwd36o8/EgfDuGsQcaETU9sGn2tpabNywEeXlFSIHwZpVa5rcr9XpsG7tenh6e7X+2RERERG1c1LvJmmGYWmhZmat23YUKb/vwO+r/8SK7H9xV/CNcFTZ4ZYB4xA1NoE/nomaITeTI2RAFF4e8A6KjubhwNJdWL14FbYU7IPPPjfoXq6C2skKEaPiRBJzpaWKZUlEbRN8Kisrx21Tbm9cP/3/p0j5B95+/+3WOSMiIiKiDiQ7KxsfffAx9u3dD011tZgJeNrt09C9Rzd0ZHXVtdjzx1bM/2w+vE2c4ayyR4iNH3QmekQNiEeXm3py2BDRJXAIcEHSfUPRZWof9PqhH3I3ZKCmuAr/HtyKdzbOxZT5YxA/vJsYksfk/ETU6sEnJydH7D2wB0WFhbhx3E1Ys6FpzydpuJ1KzYg4ERER0ZVKSzuKsSPGwtrGRgSb1Go1DqQcwPgbJ+ClV1/EpMkTO1whl+eUYv/ibTi6OgUlZaVYmfYPernEw9vVEzHDe+COYdEwt7c09mkSXbNU1mr0v2ME9Lc1JOzPmV0Kp8qTUOsUIln5ih//REh8OHpPGgT3aB+RS4qIqMWDT9KHi5RjwNraCv9s2SAaQURERETU8j79+DN079kdH3/6EczM/j8j24/f/4Q3Xn0T4yfeArlc3u6LXppJOWffCSQv3oG3f/wYarlSJBG3NDPHU4PuRtIt/UWSZLnistKVEtE5yEzlCOgTjqf7vIb81Czx/jv2z0H8efIf/JW1CZrUEtj6OCJiTDwC+oZz1kgiuiLNfoNLQSgGnoiIiIhaj9TL6cVXnm8SeJLcPP4mEXzKzs6Bl5dnu60CbZ0Wyct2Yvm3f8C5qiHBuqPSDkq5GXx7BCN8dDxcIzzZ84KolTmHeaBfmAcqp/eFy9f+2Ldql9henJGPex54AAmeURgzYRzCRsTAwtGK9UFEl4yXj4iIiIiMRKFUoKK84qzt0qQvGo0GSqUS7VFtWTV2fr0BB5ftxe8HVmFH0QHcFzYB9rZ2uG/W3QgfFQcrFxtjnyZRh2PpZI0RD92AwbNGI21NCv75YQ0KD5WgoqICe3/ajD2/bIZjnAd6TOgPpxA3Y58uEV1DGHwiIiIiMpKePXvg1Zdfh7ePNwKDAhsnf3nhmRfg5e0FZ2endje87udn5mP+ou8wyK0bbBRWSHCMRFxAZwyYOgrBAyNhplYY+zSJOjwzlQJhw2MQOjQaQ3aOQcriHcjedRypxen47csvMHndTsTGx6LTmHj49giBTC7r8GVGdC2pKijHph/XQVtSB99nvdrkORl8IiIiIjKSO2fdgS2bt2Jg38Fwd3eDSq1GZmYmrCytMOfLz9tdvUhpHfQ6AzIqs5BXU4TwrpEYNDoenvH+MJExqTHR1UZ6X3p3CRRL6YlC2MxfhuzfC+Bm7oT81Gxs3fYJ9BYyXD/1JnQaHgOlFfMFE13N8lOzkPL7TqRvSMUnB3/CeP9h6Jk3sE16GzP4RERERGQkVlZWWLj4Z6xYtgL79u2HploD/wA/jBk3BtbWDTmQ2psBU4bBUmGBntMGwM7H0dinQ0QXydbbEdc/dytGPngDDq3YhwN/7MT2jBTkniyE3wJX7PtxMwL7dRIJyqV9iejqoNc2zGz54yffYnPKDozx6icuBo3w7AXnEA/oauvb5DwYfCIiIiIyIqkBOHT4ULF0BFKemMgJPRh4IrpGSb2bom5IRMTYeMRuSBJ5oXCyFtqaejz58YvwX+CFm4ddh06j4+AZx16NRMZSU67B1l82IGvtEWiKq5BZmIns6nzUyOsRO7wrrhsVi9Lq6jYLFjP4RERERERERJdEZipHcL9IsRQcysGuhZtgc9IKarkSWTuP4eSOdBSaV2LElDEIGRjFfG5EbUQaIisNrfvrtxX49vAS3OI7FP5WnkgKTcRdI2cidKg0RFbVsO/h6rY6LQafiIiIiIxFmtXuk48/xZpVa1BYUCQScp/up19/gI+vj9HOj4joYns0Dn7qOvS8cxAO/rkbB//cg4PZafhm/1JkZ2WjyzdRCBnSGWEjYjmTJVErMOgNOL49Dd999DXqT1TCy8IV7mYOiLMPQ2B4IPpMGgyf7sFGnRyAPZ+IiIiIjOSj9z/GN199izHXjTnnzHY2Nq2fAJSIqKVYOFgh7tZe6HxTN6Su2oP6TwGfemfUVdZiyYLf8O5HH2L8yBuQcFMvuHTyEMOOiejy1dfU4cjqZJGDreh4Pr5L/VX0cvK2dkdov2hcN/o2OAW74WrA4BMRERGRkWxYvwFvvvsGBg0eyDogonbDVGmGyBFd8NrweOTsPYGU33fgnz92YV/xIfTZdgx/7siEha8tYq/rjoDe4ZCbyY19ykTXlMqCcqQu2YXZn3+GrLJc3Ow3FKYyU0yPuh49ruuDiFFdRDD4asLgExEREZGRmJqawcnp7B5PRETtgdSzyT3aRyyJt/fDzl/+Reb6I6jX1OHztd9C9vf3uC32BoSNiEHosGiobS2MfcpEVy2DwYCsPRn4c95vMDumFUPtZFpAKVfAytsOncclIqBPuAj+Xo0YfCIiIiIykv4D+2HRwkWIiY1mHRBRu2btboe+941A3fRaHFq5D/s+Poq68hpoSqqw65uNmP/xlxg4dAC63dwXjkGuxj5doqtGXXUtjq49gANLdmL1rg1Ynr0RtwWOg7u5E24ecT0ixsTDLdrnqh/GyuATERERkZFMn3Ebhg8eidEjxqJTp3CYmjZtmt1z/93sGUVE7YrCQonIsV3w3qg4ZG47KobkpWzbjz+O/43y3yqRv+mESGAeNjwGfr1Cr9peHEStrTSzCJt/XI8vv1+ASOtAeJi7INw2AAqVAr1v6I/OYxNh42F/zVQEg09ERERERvLj9z/iyOEj8PBwxwGknnV/bW2dUc6LiKi1SbNu+XQLEktien94zPVH6d48QA/s3b0Xb/35GcaFDEKPsb0ROjRa9Jwiau/0Oj2ObTqEHYv+ReXBItToarG/6DAcTG0QER6BHiNjcWe/cJipFLjWMPhEREREZCSLF/2BBx9+APc+cA/rgIg6LAd/Z4x/dTpqyjU4smo/fp3/C6q01TCrNcH+hduw/vtVcI/0QdIt/eEZ72/U6eKJWoOmtBqHV+5DytJdeGfjXDip7HCDzyCozVR4b/qLiB7bDa4Rnlf90LrzYfCJiIiIyEj0ej36DejbYo9XVlaO5H37xf/DOoXB3v7a6Y5PRKSyViPyugREjO2C23al4+Cfe8TQvL9ztuPo4UV4MLUQtq72CB0eg+BBUVDbmrPQ6JpOIJ6z9wSWfvkbtm7ehu6OncX2BMcIONjaI2Z8d4QMjYaF49U1a93lYvCJiIiIyEjCwkOxe9ceRERGXPFjvfjcS/hz6TIEBgagXqtF8r5kPP7Uo7h1yq0tcq5ERG3FRGYCr/gAsVTklcHpWz9sXv6PmEq+Mr8cL738MhzfscdN465HyODOcIvyFscQXQs0pVXY/cdWZK1PQ3l2Cf7O2YJdRamItQuFT6Q/Hh45Er49QiA3k6M9YfCJiIiIyEi6dkvE008+i7LSMkRERcBU3rShGdclDmq1+qIeyz/AH+v/XQeVSinWFy38DQ8/8Ai69+whAlJERNciKxcbjHzoBgy7ZywyNh1G8h87UHC0FHITOdLXpYqlzLwGfa4bgJDBUbBwaB+9RKh9MeilXk7HcXDFXiz7czl+y1iNGUHXw1Flh97eXTB98jREj04UQ1DbKwafiIiIiIzkg/c+QkV5Bd5+851z3r96/aqLDhxNvHVCk/Whw4fgwfsewsEDBxl8IqJrnlxhioA+4WJJumcIUv7YiWMbDiKvpACz9/2IlIyD6PFdjMgJFTKkM7y6+ENm2r56jtC1p7q4Erv/2IJvFnwLbzjDRe0Ad6UTou1C4Rzkjh439IVfUsg1mUD8UjH4RERERGQkCxf/DK1W1+z9Dg6Xn7Np4z//itvgkKDz7qep1kCj0TSul5aUXvZzEhG1BXs/ZyTdNxRd7+iP1NV7UfJlDRzKzEXvkh3rt+H1Hz/EyND+6Dm6N4IHR11T09HTtU9bp8Wxfw9i3/IdKEvJR2VdNVambUQfly7wcnRHt5GxmDL0HvF33JEw+ERERERkJK2VEDwvNw9PP/EMxl0/DsEhwefdd8XSlVj8y5Kztmem56C8qKrVppLOOJzZKo9NrINrAd8DLcc62BUzXn8AVXnlyN5yFOkr1qCwthSyKj32/bIVf3/7F8xczBE/oDtcY31gZtEwNJl1YHztqQ6k5OHlJ4qQs/UYcnam48M938LLwhWjvfrCwlSNJwfMQqcBsXCO9ha9+Mrra1F+Fbz21q4D32Cvxv8z+ERERETUjhQVFWHiLbeKoXavvvHKBfcfMmIQevdPatLz6YUnXoWXvxvsr6Dn1flIDd3TG6TU9lgHxsXybwXBQKekTuj/wHBM35Impq3P2nkMmwv2Yv/hI3igyIC0xbvh0cUPwf0jATsFP4eMrD28D6oKK5C2NgXffvkNTuZkYYB7N7G9i0MnODs4IeqGRAQNiICttyM6eh0w+ERERETUThQXF2P8jRPg6OiIuQu+aEw+fj5qc7VYiIjaAynPk1/PELFUFZQj8PdorF+6FqpaJfRaHT746XPof9Tj5rDhyOkTjsB+neAc7gETE86WRxenplyDg2v24e/Fq2BdYAYYgGPZx5FVXQCYmsC/RygGD7wB7tG+kMllLNb/MPhERERE1I4CT/b2Dvjy67kXPUseEVF7ZeFkjV7TByHptoEoSstD2ppkbPxqD+pq6qCtrsPBZXswZ/48BHr4YsjYYfBLCoVDoAsDUXSWuqpapG08gMx/05C1KwN/Z23FP/m7cG/oBNgoLDG+73UIHxwDv16hUFqqWILnwOATERER0TVOr9dj4s23IicnF9OmT8Wqlasb74uI6AT/AH+jnh8RkTFJvZocg1zFkjC9rwge7P19O7L3ZmB7YTJqdXVw/8VB5IgqUlUiaVhvBPWJYCCqg6uvqcPJ7elIX5+Ktav/xsKjKzE1cAycVHbobB+CYK8A9LyuvxjGaevpYOzTveox+ERERER0jdPpdCLAJC0b1m9scp+VlRWDT0REpw3L80oIgM5WgUEeY9FjwyAcWrsfpan5KKouwSf7fsTBE0fQY1EMLF1s4NE1ACH9IkTgikPzOsaQusytadizegd+XPErOtuGwMPcGQ5yawRYeUFtb4HIYYnw7x0GhwBn/k1cAgafiIiIiK5xZmZm+PjTD419GkRE1xSFhRKdhsaKRQo6HF6XjLqfZFDnN+R/OnIsDc+seQ/XfzsQUX7hImjlnRgIt2gfmCr4U7q9qCwoR9qGA1i68A8YcuvgrnKCRluD/cVH4KZ0RIC7L8KTYjGh951wDvOAiYz5wS4H3zFERERERETUoams1Yga1UUstRUaHN90BP8uWY/QYj84q+zFrGbLf/4Tmz/egxH+fRHZrbMIREkBKbWdhbFPny6BXqdHwaFs7F+7G+k7D0Oeq4VWr8VXBxYi0jYI7p5OcHR3xhej3kNw7wi4dPJk4vAWwOATERERERER0X+UVmoED44Sy/iK6Tix9ShObE3DoZXHUVJXAaXOFMc3H8Gav9bgWFUWxvYYhsDEULjH+ME51B1yMznL8ipTXVyJjK2HceCffdAcKRMBxg8Ofgc3tSNu8h0CU5kp7k2agi4DuiKwVzgcAph4vqUx+ERERERERETUTCAqaECEWPo8OhL37T/RGIzKzivA3uLD6Hc0AXvSN+Pnz39Aub4aI/sPhXdcANxjfGHn48i8QEaanS435SSObk1F2aFCFB3Nw5dpv0EGGaYEjhZ1MtQzCX6h/ugyOAk+3YNg42FvjFPtMBh8IiIiIiIiIroAqUeTR6yfWLre2R8Dj1+HoxsPIH9vFvIPZuFAaTpOVOUgbkcYcnYex4HSozBRyzFs4BC4dvIUw7fsfJ04hKsV1FXXIjc5E4e3HEDV0VIUpeViUcZq5GgKMTPkJrFPomMU1NZqhAzpDM94f0yK9hF5v6htMPhEREREREREdAmknjP2vk6w9+0NTATqNXXov28sUv/dj8rDxSg9XojdxQdRra1B2AZfHNtwELuKDsBUaYZhfQbBJbwhGOUQ6AKFOQMgl8KgN6Asqxi5B07iwNb9MMmtQ8nxQvx5YgNSy9LxYPiton6CrX3hbukMt2hveMb5Y2z8NPZEMyIGn4iIiIiIiIiugJlaIRKQS8upHEM9dg7B4c0pqD1eifLsEuwtOQyFzAxRO4Jwcscx/J27HWpTJQbH9IFjkBscA13ErUOAs3g8agg0VeSWoig9H+l7j2DP9t1wrrJGXWUNVmVvxvaiZDzaaRpMZXIE2/jA0dwOTpGe8I71x4ioCXAMdmMOrqsEg09ERERERERELcjc3hKhAzuL5VQwqm/KaGTsPIyK9BKRg+hkVS4szcxRllksllfmvQ07pTWGePaEtbsdTBwV8Ar2gaO/C2y9HWHjYQe5on3+hDcYDKgp06DsZDFKMwtRfKwAu7ftwrYDu5BkHyN6Mm3I24n1eTvwUPhkmJuqEGbjDxc7J3gk+MErwhfDwj3hHOLWbsvoWsdaISIiIiIiImrlYJR/UqhYTuUoGpp2M/IPZaP4aD4Kj+TC8qQ5zOXqhmFlJ4sxe/WPcFTZitnYJHtKDsHV1QUJ0fGwcrWBlZstrFxsYeVmI25NVWZXdR3qdXpoSqpQWVCOqvxyHNpxCOtyl8Ku3gLlWSXYc/IA/i3YjSkBo2EmM8X+wmSsz96OKKsg2Cqs0Nk5FFGhEYjungD3CG8xs6Cliw0Tul8jGHwiIiIiIiIiakNSnie3KG+xnDKq8lYUpeWJQFTRsXwMlCXBpFLfeP/anK3wq/CAa62tWP/q6O9wVtljqEeSWD9alwUbe1t0Du4kgl2m1kpYO9nC3M4CCkuVSK6tsFRCaaGCmYUSplfYQ0gKJmlr6kW+K2mRei7VlFU3LoW5BThxIhMupvYi4LTnaDL2FB3EWK9+kMvk2JS/B2tyt4ocTRamapiYAEqZAhptDaycnTEkciDG+06AR7g37P2cYeNpz2Tt1zAGn4iIiIiIiIiMTGmpgnu0j1gkfR8dKQI8lXllKDlRiE6HE5CXngNZuQ4VuWVwVTmKHkGnLEtfD9dsRzhWWoj1uUcWieFp4/2GiXUpR5LMRIb+boliPaU8HXq5Hl08okRepKNlmag3aNHZKxwmMhMcLTiBCk0FIl1CxLC4o4UnkFdRiFiHMGg1dUguPIKMyqzG4NfWgn3YVpSMu0NuEb2R/snbhXV52/Fop6lQyhUor61AdnU+NLpaWMrMEWLrC1cXV/jFBMPFzw09PAbjIU8H2HraQ23X8Bqo/WDwiYiIiIiIiOgqJJPLRP4nafHpGtTkvhtqZojAVEVOGcpzS+F+NBBVJZUw1yqhKalETHkY5FqTxv0rtdUi+HTKzoJk1Ou1iLRoSJK+PmMLimrL4FXvKNb/PrERx6ty4BXWsL7t5G4kl6ahU4SvWM/VFOFAaTqGuPcUwSYpf5W72hlagw5KMyU6e4fDz8cHPuGBsHW1R7xzLzzgZA1LZ2tYOFmjoLgU/mENgTZq/xh8IiIiIiIiIrrGmKkUsPNxEoskAvFN7r8O06Gt06KmtBp1VbUYXjVe3IqlsgaRpYmoq62DQqaAvl6Le4t9UVNbA0cLe8AATKtyR72uHu6OroDMBO41AdJmODk7wUxlhkR1f5ipzWCqNBOz8420VkNlYy4WM3PFBXMxFZWVt2r50NWFwSciIiIiIiKidkjK6yT1NCLqUMGnf//5F0v+WIrq6mp07dYVN91yI+RyebP7FxcX49efFyH1QCqsbazRf2A/JPVqGE9KRERERERERERXv/8P+GxlC3/+FVMmTYOLqwu6dInHxx98jAfufbDZ/dOOpGHUsDEoKChAz149YW9vjzunz8S7b7/XVqdMRERERERERETXQs8nrVaL115+HbPunYn7H7xPbAvrFIbrx9yIadOnITqm81nHSEGqlWtXwNzcvHGbja0NXn7hFcy6ZyaUSmVbnDoREREREREREV3tPZ/27d2PoqIiDB02pHFbfJd4EWBa9/e6cx5jZWXVJPAkkfavr69Hjaam1c+ZiIiIiIiIiIiukZ5PmZmZ4tbN3a3Jdlc3V2SeOHlRj6HX67Fg3leIjokWPaCao6nWQKPRNK6XlpRe9nkTEREREREREdE1EHySpm+UqNXqJtstzM1RW1t7UY8hDdtL3p+MRX8sPO9+K5auxOJflpy1PTM9B+VFVWgNep0eGYcbAmxkHKwD42MdGB/rwPhYB+2/DnyDvVrtsYmIiIjaqzYJPllZW4nbsrIyODo6Nm4vKSmFn7/fBY+Xkox//+0P+Oq7+QgOCT7vvkNGDELv/klNej698MSr8PJ3g72DPVqD1MhlY9S4WAfGxzowPtaB8bEOjI91QERERNRBcz6Fh4eJ29QDqY3bpKFxGccyEBoWet5j33/3A8z9fB7mfzNP5Im6ELW5WgSZTi22drYt8AqIiIiIiIiIiOiqDT55+3gjLj4Oc+d8CZ1OJ7Z9veAbcTtk2ODG/V587iXMn7egcf2j9z/GF5/NxYJvv0RCYkJbnCoREREREREREV1rw+4kb7/3JiZPnIq+Sf1hZ2+HtMNpeOvdN+Hk5NS4z+ZNW1BWVi7+v2P7Drzz1rvw8/PFF5/PE8spzz7/NLy8mXOBiIiIiIiIiOhq12bBJym305r1q7Bn9x5oNDXo3DnqrFnrnnn+aVj/lx/K188Xn8/77JyPdb7Z7oiIiIiIiIiIqAMGnyRmZmboktCl2fu79+jW+H8pMfngIYPa6MyIiIiIiIiIiOiazflEREREREREREQdU5v2fCIiIiIiIqIro9fVQVtbAV19NfTaGui0Nf+/rT+1rhG3uvqGW4O2FtXVlSgrr4KNpRymMgMqqzTIza+Aq4MCSgVQXlGN9Mxy+LgqYKmWoaKqBqlHK+DvqYa9jRlqanXYn1YFP3cVHO0UqKvXY8+hSvi4qeDioIBOZ8CeQxXwdLWAm7MFTGSmOJRRDSd7czg7WkEmN8XJPA2sLNWwt7OCTGaKiiqtmLFcbW4FmakKcjMV5Kbqxv/LTNWQm6r+W1c3rssVFpCbmcPExIR/TkTXAAafiIiIiIiI2jJwVFOEyiIN6jWlqK9pWLQ1pagsLxGLlVoHbW0ljp3IQ25+KaL8ZdDWVWLvwVIczKjFqK414rG2H5Zjc6ocM0fUwVQObDogx7LtpnjiplpYqIB/kuX4dq0ZXplSC0drA7YelGPeXwo8O74Gnk4G7EmX4ZMlSjx2Qy0C3PU4dFKGd35V4r4xtejko0dGngne/FGFO4bVIi5Ij9wSE7z1tQpTBtahe7gOJZXA21+rcXOfOvTrrEN1LfDGAjXGdq/H0C5a6A3Akx+qMbRLPcZ214pzvne2CkmddLi5T71Yf2iOCpG+OkwZ1LD+4ndKeDvrMWVgw/qc5WawNgdu7t2wvmSLKWQyYHiCFjCRYe8xNfQyNXrG2MNUaYXsIhkMMjWCA91hqrAEZGoo1DYwU1nBTGUHM7UtzFS2qK/WQFtrJ4JYDGARtT4Gn4iIiIiIiC6DQa9DnaYEddUFqKsuRF1VAWqrClCvKRKBpSNpmaiqKoOfc70IMP29oxgVFXUYFKdFOoCFG02RVSjDfWPqxOPNX2mGlONyvH17Q3Bp8Toz/Jsix8ezGtZT0k2xfLsZhicAchlEsKe4wgRaHUTwyUJlgLuDofH8PBz1GBirhUppBlOlCkG+Zpg02AAXd0eYWyoQFgrcrdYiIMgSNtYqdLI34GmHegR4SevmsPQywevu1XB3Noe1pRls6nR4w6kSro5q2FgpYKfV442HKuDsoIKdtRI6nR6vPVAOR1sF7G1k0Gnr8fjUYjjby2HtKIdBr8XtY0rhYmcCta1MrI9JqoajjQ4yM1PRayvSTycCZaeoFYDS7P/rJwpk4rX/VwFYtbMedfVaxHgXik0LlihEkOylW2sby/Rgpgxv3Nawvnq3HGnZctw5vA7HVgIHTyqQW6bGsCQnKNR2qKg1Rz0s4OPtCaWFPRQWTlCYO0L53620SD2wiOjSMPhERERERET0H4PBgPqaEtRW5qG2IkfcSoElKah08FA6dLWlcLOpEtsWry+D0lSP/jE6cex7ixSQRoHdP7YhmPTprwpo6kzw1C0NgY89hxXIK5WL4JPEUgXYmP8/sJIYboogHyXM7Rp67YwdaobB/RVwC3GHXGGJWbHmeFBlCaXaBnKlFaJGm+P+U0PSTFXoaqrCzMbhaSr0E0PUlDCRyZut35FnrPc7Y737GeuJZ6yfOZ1U3BnrCWesd5vSdL3XnU3Lvr+utmEIYX3DUMJuUzX/rTfczhmjEUEqbX0VdHVVeLNzITRVZf/1FqvA+NG5qKysgoWDXvQW6xxYBle7hvKX1NSZoKohlifsOmLA5tRa9OmUhmoAv/1riuU7zPDpPRoR5Fq/T44NyaZ45PpaqBRAeo4JjuSoMaSnI2zsXFAHa9TDBu6eXlBbuYggldLSFUorVygtXCCTm51Z5EQdEoNPRERERETUYYa8ScGkGhFUykVVaRYqSrIgqy9CTWUOlq07BmtFOSK8G6ITb/ysgKejARP6NQz5eu1rJVxsDbh7VENwKeW4ApYqeWPwqZOvHiYwwFRpAzO1HSaOUoqhYK4hXmL99a7WUJnbo6xUDze/ACRMaBgCJg0Fk44Z1MEDFdLwN5HPyVQFM9XlPUb0Geu9RVBLD11dtQgqdp3cMMwxOz0NtnZyPN61EKXF+bBU1qJeU4K+shz4+BRDbVWHek0xVAoDrNQGKP6rmtRMOX7fbEDviBMwVJ/A2r1y/LhOgden1cDeyoD9x2RYvccUkwfUw94KKNfaI7vMGrGRvrB38hRBKZWlW0NwytINKksXmKpsOfSP2j0Gn4iIiIiIqF2ory1HTVkmNGUnoSnLxImMw9BW50KNArH+1bJyBLjpkRjaECy691MVEkN0jcGlPzYo4e+qR4R3w+P5uhjgZKOHiYlcDLeaMc4SNnZ2cAv2FetzejtBYeEI5X/DsXrdJQ3NcoBMrhDHJzVznhmHM+EU4NU2hUIwMZHBVGkpFrVNQ7lX1PrCK/jsOohB055YfWpKG3u+1VUXIbhfPiYXZEFpUi6GV8bLTkJpngc7GxNAX406LVBRbQIz04YebfsOleLr1dV48dYMVNs15Nn6bq0C942uFXm38ktNsPuYCn26uMLdywcKSw+orT1hYesFlY2n+L/Uk+p8vdeIrgUMPhERERER0TWhvqYMmtIMVJeeQHVpJo4dPQjU5kNtUoDKkkzMX1aDcO+G4JJeD8ycrUL/zlrc0KthmNv+DCVUp+UPkpJWe7pawsq54Qf+xy/ZwsHZGxa27qJnSrcpblBauoheS1IAQ+pFQx2rJ5ZU99Ji4RDUuN33jJ5W1//3f2n2wZ5VBbizIgc1lbmorciFfVgGwjsfg5dDFfQ1BbC2yEWopw6W/w23zMiT4dcNQJhHBpTaY0g5LsPsJQo8MLYOQR56FJaZYFOqGfokOMLHxwdmFu4iQGXj6Au1jTfUdj5QWbmLv0+iqxmDT0REREREdFWQeppISburS4+hqiQDeScOoqYiE/L6bJTkH8PXy6sQ5acTM6/Va4FZs9UY1qUeY7prYTAAR7IbhsVJpBnRpgxRIMDXG87BgaIHyaK+UlBJCii5QmXlhgEWzpCZKo39sqmdkJuZw9zWRyynB6riT9unp8GAaZpiMeyzpiIXYRXZGHLdMZhqC1BflQWX2gz0iSqCo7Ve7J9VZIKlW+Xo5JMLa1k2jmTJ8PZCBe4ZXYcIXz1Kq4BNqUr0ineDr38g1LbeMLfzg7mtrzgPKUDFv3G6GjD4REREREREbRpgqq3MQVXxUVQWHUV54THoqjJRlHcMv/51HCEetQjz1ouk0A98rsaYbvUYlqCFiUHKt6MSOZgAPcxMTXD7SHMEB7rDNUQKLnngt0GeYliVNFxJZeWJQQpz1ixddb2ppKGZ0mLl3Els84pumsD9Fr1OBKc05ScRWXYSw246Bl11Duqrs1FhyMCQhFy42TcEWaXZEhf/K4O/ywlYIgPH80zw3m9KTB/SEJyqqjFBcpYD4qP94O0X1BCUsveHhX2g+D8DU9RWGHwiIiIiIqIWJw1BqipOR1VxGqqLj6Io5xDWbtgLV4sCuNtpUF4NPP6lCmO7azEwVit6Mq3YoYJCLhPBJwsVcENvA6JCveAUGCx6cywZ5Av1fz1LVNYeGPRfbiWi9kTK7yT9fUsLPBPh1hCjapxNcJzUQ7C6CJqy44gsyUCfUYdg0GRBW5WJQk06YgLK4WDdEJw6WWiCeUuroJbthLxiO/JKTPDZnwrc2KseYT6A3NwThTUuCAmLgINbSENQyj5ADDeVAmVELYXBJyIiIiIiuvxeTBXZohdTecFhpB3cC5PaLCjqj6MgLxufLFWgd5QOXUN10NQCn/2qxsjEerh3BazUQO9IHfw9zWHt6i96Yfz5tResHQMahgvZ+mIgfwATnUUKCimlRPcWjrB1j2sSnEoAcGNdFTSlx1FdmgG/gnQExabAUlYAQ81JaAuzYG1ugFphkN7AOHI0E6//VIAZw3YiPqhhGN+SLWboG6tAeGgAVLb+UNv6w8Y5GBYODYEpaTZCokvF4BMREREREV1UkKmy8FDjkpt5AItWpCHMqxYhnnqUVwEPz1Xjup71GBynhVoJSH0vpL4TJnIFnDz88dEzrvAP6gQ714YeFv3u84OZypalT9SCTBUWsHIOF4tLMBDU4//39dDV48bS4yJgLC1WJw7gftP98LErAFCC4nITbD8sR2ygBuV5+3AgeT9e/lGJGUPrEBuoR029DIfyXBAfFwZP/0hYOgTD0jGEQSm6IAafiIiIiIjotHxMeagqOoTSvFSk7NkOef1JqLXHUFxagTd/VoohclJvptr6hmFy5gqZCD5ZmQNThynROSIUnqERsLAPwE83BYogk5Tsm1PFExmfTG4mejBJi8QvEeh2Q8N99ZoSJBQfxYipaagqSoOmNB1VJofQLzqrMcdUZj4w+9dS3FW7DvV5a1FUboKfN5hhSBcdOoX6Qm0fBLVdEOzcwkVgSvocYF4pkjD4RERERETUAdVpilGZn4rKwoOiJ1N+1gEsXHYQwW4ahHr9P+H36G71GJ6ghaUa8HA0wMYCYkick2MIliwIgJ1raGOemMFKa2O/LCK6TGZqO9h6xIvlFCkX+piHdNCUZaKq6Ah8cg7ANXgnbOXZMGjSUVZdgxP5JqirN6C65ChSD6XjtR/X4c7hdYgO0ENTJ8eRQhfEx4bD078zrJzDYOXUSczKRx0Lg09ERERERO2YQa9DVclRlOel4PjhHdAUHwEqD2F3aT7eWqhE70gt+nbWiYTfy7eqIE+UieCTlPB75lhLREQEwzc0GpaOwfhqcggsHILElPJE1DFIvRbN7XzF4hQ4ECFJDdsNBj26l2XiupmHUVnUMBy32jQZA+My4O7Q0FPqeJ4BHy8qwd21a1GXuxqF5SZYssUUg7uYwt8/AFXp0bBy6QQrJykoFQ5TpZVxXyy1GgafiIiIiIjaifqaUlTkH0BFwQGUZCXjrzVbYafIha9TDaprgfs/U2NEYj1GddXCXAk42RhE4m+llTscHIPx2xcBcPCIEDlcLOyDMEhpaeyXRERXKRMTmZgcQFqkoJQkcjgw+gG96CklBaO8s1LgIfWUMsuBoeooisrrsTddjl4RtagpScbG1BTMXqLE7UPrxPBdqD1RBR+ERsTBzj1SBKWkyQg4bPfax+ATEREREdE1RupxUF2SgfK8ZJTmJqOm+BCKspMx57cCdPLRo1uYDlod8MVvKvSK1MG3N0SwacIAIDIsGDa+IXALSsCCCeGwdAqFGYfLEVErBKWcAwchtHfDdr1ei67FR3HdnQdQkZeCwhN7YF51BKGeJbCzbOgplZyajQ9/L8J9YzaLz7LiChPsSFOhb48A+AZ2hrVLJKykxSkMcjM16+wawuATEREREdFVTPrBVl18FGW5e3F4/2aRDFytPYKa6ko8MV+FHp20GNtdK82ajswCJTz+G+5iaeeJ9x/3RUBYDOzco8SQloF2vuKHYcbhTHgHexn7pRFRByKTmYpeldKC8LFQHs5Ej8leuEnKP1dwEBX5KVAf2Y07TXfDzyUXQA3Sc02wcAMQ5JYCs+pkbMozwZKtZhjXU4+g4ABYOkXAxjXyv6BUBAPpVzEGn4iIiIiIrhJ6XR0qCw+jIm8/SnP2YcXKjVDqTiLYvQY6PXDvpyp0D9NhQr96mJkCCSE6+LqZwtpVypnSCT8tCIelNMW6UzjMVDbGfjlERBekUNvD3ru7WHzigaRbGoLumpJjiMxLQd/hOyCrOYaakoOoyMhFTrEJTGU6VBUewubtRzB/5Z+4f2wtfJwNMCh9oFMHICQiETZuUbB2iYDC3JG1cBVg8ImIiIiIyAh02hpxtb88b58INpXl7MW8Xw/D1VYrhspJvl6iQpCHDsHugFwG3DbUFIHB4fCJSRRX+nvcFgFzO3/mQyGidtdLSprcQFrcwsc0bu9aVYhb8/ejPG8/KvKS4VC5C5G++XC0bujxuWXPScxfmY+nbvlbBKPySkxwosQevXtGw80vBlbOEbB2jYTS0g0mJiZGfIUdD4NPRERERERtEGiSEoEXZu5AzrFdkGuOiKv27/wqh7u9ATf3qRf7HT6phFYrk46AmdoeL98fDP/gGDh6xcLKJQoDbbz4g4mIOiylhSOUfn3h6NdXrHceDUysKRND9qQgvonzVhgUe+DhmCdlx0Nyhgw/baiGn+NaVGevweEsGbYdlGNcPxt4B8bAxjUa1m6dYePamT2kWhmDT0RERERELUgaLlJVeBhluXuQvGMDCnMOwEWZAYO+Hk8uUMLbyYA7h9eJfV1sZbC3MkBp6SqS6M77MBI2rlG8Mk9EdJGkIcaNw/a63IGBUwBdfTUqClIR0GcPevTdBEfFCRHwzy3WY+shOcb1LETh0VVYtmwt/t4rxx3D6+Dq5gmVQwQcPGNh6x4Da9co5pBqQQw+ERERERFdJoPBAE1pBspy9qA8dw9Wr96A8qLjiAvQiPtf/k4Jc5UBD1/X0LNpWLwW9g72cA6KFz9s3r4+EtbO0hAQZ9YBEVELkZuZw9Y9TiwBCbc15tRLLDyE27P2oKpgn5jEweTIQXGfpQqoKT+JP9blYunWdXhlSg2s1ECN3Bdq+xAERXSDjVvDsD1ThTnr6TIw+EREREREdJFqKnJFkEnq1VSesxsLl+5CVVUNRiRqxf2/r1FAU2uCuICG/ScNNoezZygC4nqKoR197ubQDiIiY5DJFSJXnrSckjChBrPyD6A8d6/4bA8s3YLu5TkiGCVZvuEkVuzIxQd3/QWVAjieL0eN3BNJPRNFDylr186wcgqDzFTJSr0ABp+IiIiIiM6hXlMiroxLeZo0hcnix8l3KwpRXGGCGUP/y9F0wgwVGhlGJAKmCis8OCUMHoGxcPaOg7VbNAZaeTBHExHRVUpuqoKtuzTMLlasRwwDptdViYkgpM/8oVYb4emeDJWiRty/Yb8MWw/mIdDuZ+Sn/ozdR2XIKTHFDUPDYO8VB1u3WNi4x0Jt68vP/jMw+EREREREHZ40HENKCJ5/fBuOpmyCpe4wqkuPYf5KMxzPl+H5ibUNjWeZKUxl0hV0JaxcIvDik1Gw82hIWmtuHwATEylZOBERXatMFRaw9+omFt8ud2KUdDGiplQEo1zjtuLw/m2wUB5DTUU2UjLk2HtMhmHxe1FVsBcL9nyFrEIZpo2wEAEtGykY5RYjFjO1HToyBp+IiIiIqMPlaaqtyEZp9i4c2bceB1N2ws8mA3ptDeYsN8Phk3K8Nb0G0izcIZ56ONoAFo5hsHWLwZODpJmRomHpGAqZ3MzYL4WIiNqAmcoWDr69xRLVv2FbbWU+Yq7bh5z0ragvTRa5/0oqK5FXYgJtTSkK09fi4/n/IL/EBPeOqYO5nT+UDlFw9okXuaisnMPFUMCOgsEnIiIiImrXtHXVKM/bi7LsXdi1dR327k1Bz5AScd93a82wKVWOD++qgVwG9I7UISHCDi4hg2HnGYsu46Nh7RIhktcSERGdIk0U4WQ5AE4BAxovbCROTEdZzi6UZe8Wt7YWqdBqDeL+6pJ0vPPNSRRXLMdTt9SKHrQas2B4+MfCzT+xYbiejXe7Ha7H4BMRERERtRsGgx7VxekoFY3/nfj3n43YsuskbuxVJ3oyrdlkiuXbTRHnC6iVwIA4MwzuGwK/xB6w94hHb/dYKC2cjP0yiIjoGiMFjSzsA8Ti3ukGsa3L+BpU5Em9ohoCUrHp/6K8tOHih15Xi49+OgRN3WE8M/4rsS29wAau3p0QGdejcciemcoG7QGDT0RERER0bScFz9kthtCV5ezE+n92Ys2OWswaWQdTOXD4iBwbU8wwNB6wtjDBiH6+mHBLZ/iEdhNXmS0dgmEikxv7ZRARUXtNaO4RLxZJ1CigtqpQzJYqBaRu0KxFaX66NIhP3P/1XzWwVu/Ag5pNYn3TATlcXF3RM6m7+M6ShutZSrPrya69UM61d8ZEREREdE56vR67d+5GXl4eAoMCERwS3K5KSq/XorIgFYXHt6Myf7dovG/Ydgy//WsmhjCYK4HKSjmKK0xRVmUCVxc7jBsdjRl3x8Heq4tICm6qtDL2yyAiog5MaeEIp8CBYglMeuy/HrtHUZqzG886/Y2inBSYyI7BoNfi982m8HMtQID9L8hJ+UWsuzqaYUjfzrCRgloiqXmcGAJ4tWPwiYiIiKgdqKqqwpSJU3HiRCbCwkOxY9tOjB47Cq+8/jKuVTUVOSjN3okj+/6BvOYgqgv2YUtKPRasMsOLk2rhaGOAhVIGN3sDquvM4OrTCTfGxuH2h6WpruPade4MIiJqH0xMZLBwCBKLR8SNYpuuXoPyvP34rusW5B7bCVNNCjRlWdh+SI4wjRYlJ7eI5YvlZghy12NIkhts3eNF7yjp+0/KVXi1JTNn8ImIiIioHfjwvY+Qk5OLv1Yvh62dLZKTUzBm+Fgk9U7CkKGDcbU71dDOO7YVO7ash6NZOmR1Odh2SI65KxR48uYa+LoY4O5ggqQIHZRWLnAJSUBI31hMfiIOVlJScFOVsV8GERHRFZObqWHnmSCW8F4N22or87Bk7E4UHN8OTcEeFGfvQXGFHpU1JqgpP4mcspOY+cxyJIbqMDRBDiuXSJg7dYaTT4IYrqe0cjfqBRkGn4iIiIjagcW//Y6bbrlRBJ4kERGdkNg1Ab8v+v2qCz5JMwJVFTfMCHT84CasX78JAfZZsDHXYv8xGT76Q4n7xtSikw8Q5K7DjX0An6A4+IZ1RbR7LCa4xUJp6WLsl0FERNRmlJYucAkeJhaJXlePbpMOiplcS7N3ID9jJ1ztT8JKbRDJzIsyd+DWp5MxJP4rDE/QQmnpihpFGIIje8LWQ+odFdWmtcfgExEREdE1rrSkFHm5eQgJCWmyPSQ0BOvWrjvvsZpqDTQaTZPHak0bfrwHPy9cji6B1WK4XHquCT77VYXbBhuQGAoEuOvxwC0OSEzsAo+gruJq7Q2OIddkclUiIqLWIpObwdolUixeMZPFtqSpRSjL2YOy7B3ITt+OfjG74euiF/eVFOXi/s/KMKrrPxiRqAVMTKFV+MHJYZ4Y8tfa+C1OREREdI2rqKgQtzY21k2229raovy/+5qzYulKLP5lyVnbM9NzUF5U1cJnChTlF2DpZj0cLaVcTTr4ulvilbsDERQaBwunKKhsOyFa0ZAUXCftXyotOS1+Hh2dXqdHxuFMY59Gh8XyNz7WgfGxDlpLMExdguHtMh6PdtWhriIDNcX7UZSzB5OG7ISPXYHYq7BMB5XZEeTm1ENe1DrfB77BXo3/Z/CJiIiI6BqnVDXkOqqqrj4rCbnqv/uaM2TEIPTun9Sk59MLT7wKL3832DvYt/y56sZjno0twuL7ixl6zO38mBTcCKTA0+k/Cojl39HwPWB8rIO24gugj/hfv8lAfW25mC02P2MryvMzEBAR3iZnweATERER0TXOyckR5ubmyDqZ1WT7yZNZ8PY+f4BBba4WS1txCxuFWnkM3Bn4ICIianNmSms4+PYWS1v2gJW12TMRERERUauQZq/p07c3li1dJpJ5S8rKyrFh3Xr069+XpU5ERERGxZ5PRERERO3Aw489hDEjx+GuGTPRtVtXLFq4CO4e7phw6wRjnxoRERF1cOz5RERERNQO+Af4Y/mqPxEUFIQDKQcwYtQI/Pr7QqjVbTekjoiIiOhc2POJiIiIqJ3w8PDAQ48+aOzTICIiImqCPZ+IiIiIiIiIiKjVMPhERERERERERESthsEnIiIiIiIiIiK69oNPOp0Osz+cjcH9hyCpW2888uCjKCoqavFjiIiIiIiIiIioAwaf3nrjbXw5dwGeePoJfDpnNjKOZWDKxKnQ6/UtegwREREREREREXWw4FNVVRXmz1uABx95AH369kZEZATefu8t7N+XjHVr17XYMURERERERERE1AGDT3t370VtTS2SevVs3Obj6wNfXx9s3bqtxY4hIiIiIiIiIqKri2lbPElubp64dXRybLJdWs/PzW+xYySaag00Gk3jenFhsbgtLSlFaykrK0dxUcPzkHGwDoyPdWB8rAPjYx10jDqwsbWBXC5HeyXl3JSw7dS+8fOK5d/R8T1gfKyDjtVuapPgk8FgELdnNtTkpqbQ6XUtdoxkxdKVWPzLkrO2v/DEq5d17kRERESne++zN2HvYN9uC6WivELcsu1ERERELdVuapPg06kGWklxCVzdXBu3SxG28PCwFjtGMmTEIPTun9S4XldXh5KiEjg6O0Eub/lRhtJVQalx9txrT8LWzrbFH59YB9cCvg+Mj3VgfKyDjlMH0hW89szT21OUoZW1NdtO7RQ/r1j+HR3fA8bHOuh47aY2CT5FRkVAJpNh+7YdGDl6hNhWVFSE9KPpuPvemS12jERtrhbL6U4PXrUWqbLa81XQawHrwPhYB8bHOjA+1oHxsQ6ujEKhgH+gP1ob68n4WAcs/46O7wHjYx10nDpok4Tjjo6OGD5yGD764GPk5+WjpqYWr770OpydnTFoyKDG/SbcNBHPP/viJR1DRERERERERERXrzYJPklefeMVBAYGoEdiEqLCOiP1QCq+/Hou1Or/91IqLi5pzDNwsccQEREREREREdHVq02G3UmsrKzwyZzZogdTfX2dWD/T9z99C7mp/JKOMTYpEDbmhpEMiLEOOjS+D4yPdWB8rAPjYx1cG1hPxsc6YPl3dHwPGB/roOPVgYnh1LRyRERERERERERE1+qwOyIiIiIiIiIi6ngYfCIiIiIiIiIiolbD4BMREREREREREbUaBp+IiIiIiIiIiKjVMPh0AevXbcCwQSMQFtgJ/XsPxKKFv7XKMdS8lX+twpABQ0V5Duo3BMuWLjtvcaWlHcXDDzyCHgk9ERsZj0njJ2PP7r0s4ivw+2+/Y0CfQaIOhg4cjr/X/H3Rx36z4BsEeAdh1p33sA6uwM8//ox+Sf1FHYwcOgqbNm664DHZWdm4/54HEBfVBYlx3fDma2+htraW9XCZFnz5FXp174PwoAiMHXkddu7Ydd79y0rL8ORjT6F7lx7oFByJgX0Hi8egyyOV59w588T7QPpM2b9v/0Ud99knn6Nn116i3m4YeyOS9yezCowk/Wi6+E6W3g9d47rjrdffhk6nY320kWPpx/D4I0+gR2ISYiLiMOGmidixfQfL30ief+YF8Vn27tvvsQ7a2NrVazFu1PWICIkSv9kupV1LV275n8sxevgYRIZGoUtMImbdcTcyT2SyaFvJ8YzjeO3l18XvAaktdC5VVVV44tGnxG/nqPBo3H3XvSgsLGzxc2Hw6TwOpKTi9qkzMHL0CGzcugF3zJyBRx58FH+vXdeix1Dzdu3cjZkzZuGmW24S5Tlp8kTcM/M+bN2yrdlj3nr9LXTt1hU///YTVv69Av7+fqKBlXEsg0V9GTas/wcP3f8IZtw5XdTB6LGjMOO2O5GcnHLBY1MPpOLT2Z+hU0Q49PyBcdlWLP8LTz3+DO578F5RB/0G9MPUybeJQGtzpC8MqWFVV1uHxUsXYeXav2Bja4PNm7Zc/ol0YD//9Atef+UNPPXsk1i/6W/Excfi1vGTRYCvOU88+iS2bd2OL7+eh627NuP+B+/DKy++KoK5dOk+fP8jZJ3MwmNPPSYCFhczWa8U7Pvo/Y/x0qsvYt2/fyMkNAQTbp7UKg0qOr/q6mpMvHkSbG1tsGb9Knz06Qf44bsf8d7b77Po2sjbb7yD2LgY/LjwB6zZsArhncIx8eZbkXYkjXVghAurWzZvhYuLM/Q6Pcu/Df3x+xLceftMjLt+LDZt34jZn32E3xYtZh20kb179ooL0iNHj8S/2zbi18W/oLi4BLdPm8E6aCXPPPUcbO1sMe32qdDqtOfc59GHHse2rdvwwy/fYenyP5Cbk4Pbp95xUW2tS2KgZj38wCOGEUNGNtl2+7Q7DDdfP75Fj6HmzZwxy3DjdTc32TbhpomG2yZPv+hi0+l0hoiQSMO8L75kUV+GiTdPMkyfOqPJtpFDRxkeuOfB8x5XVVVl6N97oGHVX6sNUydNM9w5/S6W/2UaO/I6w313399kW79eAwxPPf50s8c88+Szhu4JPQ21tbUs9xYg/S1LZXqKXq83JMR2Nbzx6pvNHtMjMcnw7tvvNdk2uP9QwwvPvsg6uQJHjqQZfNz9DHv37L3gvt3iuxtee+X1xvW6ujpDVHi04eMPPmYdtLGffvjJEOQbYigvL2/cNufTLwydgiMNNTU1rA8jiY2MN3zy8acs/zaUdTJLfH8cTD1o6NW9j+Gt199m+bcRqU0UFxVvePWl11jmRvLt198Zgv1Dm2xb/Nvv4ntdo+F3QWv64bsfDUF+IWdtz8w8Kcp/9crVjdtSkg+IbVs2b23Rc2DPp/PYuX0nunXv1mRbj57dsXvXbuj1+hY7hpq3Y4dUnl2bbOves/sFh7uc2Y2wrr4elpYWLOpLJEW7pbI+Zx3sPH8dPPf080jsmoABg/qz3K9AXV0d9u3dd1Yd9LjA++CvFSsxfMQwKBQKln8LDPeSegacXgcmJiZi/Xzvg+Ejh+Gv5StFd2etViu69UvdyocMG8w6aQNSr7Ts7Jwm38lmZmZISEy4pO8Qahk7tu9Ep4hOsLKyavJdUllZiUMHD7GYjUCj0aCmpgaWFmwftRWp16Y0HP6Ou2aInpjU9p9DhYVFGD12NIveSHr1ThJt0++//UGkgsjPLxApagYNGQSVSsl6MYKdO3aK2249/t9eCu8UBjs7u8b7WgqDT+chvRkcHB2abLO3txdf1BUVlS12DDWvQCpPh6bl6eBgj5KSEvFj7mJIQ2UszC0wcNBAFvUlkn4USEMlzvybdrB3EHXTnN8X/yF+3D393FMs8ytUUtzwt+7g4Nhku72DPQoKzl0H0pd5Xm4erK2tceuEKSK/Su8effHOm+8y59NlyM/PF7fn+mw/3/vg0ccfQVBwoCj7QJ9g3DH9Lrzw8vMi+EGtT/o+lpz1+XWe9w61Zn3kn7MuJOd7H1HrkXJuyU3lGDJ8CIu5jXzw7odQqlSYetsUlrkRnDh+Qlw8kvLP9e3ZT+QcGjNiHHM+tSEvby98NucTvPHamwjxD0NCTCI01dV45/232vI06DQFeflQq9UwNzc/+7dGC38/M/h0qQUm+6/ILmH84+UcQ80z+a88L2YM6tzP5+KXnxfio08+gJ29HYu1hZjITJot/8zMk3j+6RfwwcfviQ8yah0yE1mznymnell+/OFsjJ9wM7bs3IQ333kDP3z3g/ixQS1UB9Jn0Xk+hx554FEcPnQYS/9agv0H9+L9j97F0088gxXLVrAKjMjERMav46vEqfYRm0dtT5oM5JuvvsUHH78PJycnI5xBx7N923Z8/+33eOe9t0QAhNreqfbRnM/mYM6Xn2Pjln8wcPAATJ86Q+QiotYn9eaXyvve++/B3pTdWLdxregJNXXSNI4Sugq/o1s6esHg03k4OjqguKi4ybaiokIoVUpYWVu12DHUPOkqaXHxGeVZWCQSJ0vDJy6UaPbNN97G5198ih5JPVjMl8HS0lIEkM7+my6Co1PTnjinHEg5IHqmSVeSpFlcpEVKuC8lzZb+f/JkFuviEkhBU7lcjuLioouuA6nOrKwsRYNqyLAhYpiLNARy4uSJWPrHnyz/S3Tqh9lZ74PC5utA+txa9OtvIsl4xH9DjYaNGCaG3M374kvWQRs4VTfn/vxq2gOH2qA+HB3Pqgtp+Iu4r5n3EbUOKdH7Sy+8go8+/RB9+/VhMbeR7dt2oKioGN269GhsH0nDsmd/9EmzM1BRy3J2dhYXT6Xv5qDgIPF7YtY9M+Hl5YnlvDDUJqThdlKv8NtunybK39fPF888/7QYErnrAik9qHVI38HSMGxpObOd63RGj+UrxeDTecTGx2HLlq1Ntm36dzOiY6L/35upBY6h5kkzSm3dfHZ5xsXFnrfYvl7wNV59+TV8+vls9O3fl0V8maQrczGx0dh6jr9pqW7OZdDggUg7fhiH0lMblz59e2Pw0EHi/56eHqyPSyBdDYqIisCWzdvOqoPY87wP4rrEnfWZI9Unr7ZeOmmGEGnWzC2nzbIpNV6lmYpim3kfiJ5p/5X5mdtlcvllnAVdKg8Pd7i6ujb5DpGGsG7fuh1xcXEs0DYWFx+H5ORkMZz7lE3/boKFhQVCw0JZH23kx+9/EjkZP5z9PoYMZf65tnTXrDtxJONQk/aRj68PZt59l+gdS60vJi5aXNA7NYriFKm9xPZR2zhXW/RUe1UmY/vIWN/PEqlde8rB1IPiQqoU22hJjIacx7TpU5CyPwVfzp0vGkvS1JyrV67B9Bm3Ne7z848/iysXUl6ciz2GLp4UFd+6ZZu4SieVpzTd+aaNm8T2U+bPWyDq4JRvv/4OL7/4qhhP3H8gk11fKelvV/oblqaHl+pA6lEm/Y2fnq/gg/c+RExEw4eT9IViamraZBFfNGjYTpfu9hnTsfSPpaL3mFQHn87+TFwtnTz11sZ9XnvldfRITGpcn3HnDKxcsUrkMZCSlu/ZvRffffM9Ro4ewSq4nPfBHdPx8w8/Y/26DSgvLxdTlpeWlmLCpAmN+zzx6FMYOnB4Y8AqoWsCPnz/Y6SlHRV1sGbVGvz55zIRoKXWcd/d9+P6MTeI/0ufO9NnTMPXX32DzZu2oKysHK++9Bq02nrcdMuNrII2Jn32SMlLn3v6BZHLThp68dknn2PirROYZLaNSG2oZ596riHwNIx5ntraudpHp7ZLARFqfVIe2Rtuul7k3pLyP9VoakSKjhMnMjGU74k2ISUW37d3v/i9JpV/bk6u+G729PJEeHhY25wEnZWHS+ok8PorryPjWIbIG/v8My8iMipCjJxoUS06d1479NeKlWJKcz/PADFt+fff/nDWlIXSNISVlZUXfQxdmj8WLzH07t5HlGdSt96GRQt/a3L/3DnzRB2cEh+dINb9vQKbLC89/zKL/gqmyJamjZfqoG9Sf8PyZSua3C9NJx8RGtXs8VMnTTPcOf0ulv8V+Gr+V2LaeOlveUCfQYa1a/5ucv/LL7xiSIzt1mTbkt+XGvr27CeO6d6lh+HtN94R0wzT5fl09meGLjGJojyHDBhm2LxpS5P7H33oMcPAvoMb1/Py8g0P3PuQIa5zF0OgT7CYUlua0lyv17MKLsPX879u/Dw//TP+i8++aNxn1p33GEYPH9u4LpX1++9+IKbWlvYdOXSUYeeOXSx/Izl08JDhhrE3GgK8gwydw2MMLz73kqG+vp710Uak7/FztY+efuIZ1oGRSN8Lb73+Nsu/DWk0NYZnn3rOEBUebQj2DzWMGDLyrDYVta5ff1lkGNx/iCh/6bvgtsnTDUeOpLHYW8m9s+4Tn/XS77jTvwN27dzduE95eblos4YHRYh6uW3K7YbcnNwWPxcT6Z+WDWd1LFLxSdOmskfH1VMH0v/P9Wctdenk0MfWS+AolXlzV+5OJXhk+RuvDqj1sQ7a5rP+TGIIxX9d+FkHRM1j++jqrBPp84vtIyJqLVLb6NRvsdMZI37B4BMREREREREREbUa5nwiIiIiIiIiIqJWw+ATERERERERERG1GgafiIiIiIiIiIio1TD4RERERERERERErYbBJyIiIiIiIiIiajUMPhERERERERERUath8ImIiIiIiIiIiFoNg09ERERERERERNRqGHwiIroI8774EsH+oedc5nz2xQWPnz7ldnz2yecXXdZPPvYUenbtBZ1Od877P3jvQ0SGdUZZWbl4/qmTprEeiYiIOqDHH3kCUyZNbbH9rgZ6vR6jh4/B4kWL2/R5X3zuJTzx6JNt+pxEHQWDT0REF0EKAtXV1mHHnm3Yd2Bvk+W2288f+Fn393rs2rkbkyZPvOiyHjNuNE5mnsQ/GzaedZ/BYMAvPy1E7z69YWNjjYm3TsDePfvw99p1rEsiIqIOpr5ei/q6+sb1Rx58VFz0utB+V7Off/wFFeUVGDl6ZJs+7x13zcBvvy5GSvKBNn1eoo6AwSciokugUCihUjVd5HL5eY/5bPbnIphkYWFx0c+TkJgAX18fLPz517Pu27xpiwhM3XDT9WLd3NxcPP6cTy/cA4uIiIjal9ffehULvp3fuF5fX4+6+voL7ne1ki6yzfl0Dm6ZcMsF21gtzcXVBf3698W8OfPa9HmJOgIGn4joimWeyMR9d9+PhNiuiAqPFl2609KONt4v9ciRhqetWP4XbrzuZsRGxqNfrwH45qtvL/ux/lyyDCOHjkJkaBTef/cDcd+Xc+ejd4++YpvUVfv3334X++7cvlPcv+nfzQgJCMOx9GNNnvPkySyEBoRj1crVLf7XIL2eLZu3YPjI4Wfd9+8//+KWGyagc6cYdIlJFEPtKisrG++//sbrsWrlKjG07nRSQMrV1RVJvXo2bpMef/OmzeL5iIiIyLjunXUfbp92B9587S0M6DNItGkmjZ+Mo2npZ+07f94CDOw7GBEhUejToy/effs9aLXaxvt379qDiTdPQnznLuiRmIRHH3oM+fkFjfc/8+SzuH3ajMahdX8sXoKNGzY2pgf45ONPz9rvYp/71OuQhvsP6jcEMRFxou1yMPXgeV9/aUmpeDzpXE8fSieVwdiR16G2trbZY3ds34H09GMYPnLYOcv0Quci7Sf1/Hr5hVfEa5PKXtpPak/+vvgPDB88UqQukG6lC3pnktpUS5f+ierq6vO+RiK6NAw+EdEVyc3JxdiR45CTk4uvvp2PlWtWwN3dHeNvnICqqiqxj/6/IWvvv/M+HnviUaxZvwq33zFdNIK2btl2WY/1zpvv4NkXnsGWnZtx972zREDm9VffEP9f9+/fePCRB/HS8y+LffUGvTi2W/eu8HB3x3fffN/kNXz/zfewsbVB3359WvyvQQoIKRQKREZFNNm+dvVa0QALDQvBspVL8f1P3yIl5QAeuv/hxn2uu2Gc6B6/5PcljdukclixbIW4Tyb7/0e49PhKlRL/btzU4q+BiIiILo30/b3qr1XIOJaB+V/Pwx9/LoaZqakIImk0msb95s6ZJwJUs+65C+s3/Y1nnn8a3yz4Fq+8+GrD49TXiwtxwSHBWLbyTyz6fSESuybi29Mu4J0+nO6lV1/EiFHD0aNn98b0ANJQsjP3u5jnPv11FBUWYf4380SbRa1W4a7bZ4pgUnNs7WzxzgfviCFsP//4s9j23tvvY8/uPXj/o3ehVCqbPVa6WOjm5gZ3D/dzlumFzkXab/WqNWLbN99/hcVLFqG4uAg3jbsZX335Nd56902s27gWnaOjMHPGrCYX/iTxXeJE+3Hb1u3nrWMiujQMPhHRFfni87nQaGrw6ZzZCAsPg6ubK1585QWYmZmdFeSRGkRx8bGws7fDLRNuhn+APzb9u+myHuvZF59Fl4QuYiibqampuKp38y03iaFoDg4O6N2nFx54+IEmx5iYmGDi5IkiUFVT03DFra6uTjSKbh5/k3icC4kK73xWwvFTPavORbrCKXXhlgJQp3vz9bcQExuD5158Fh4eHggKDsI7772Fv5avbMwz4Obuhh5JPZoMvftz6TJxJe76G69r8njS40u9odKOpF3wNRAREVHrs7axxlvvvQkvby/4+vni3Q/eQWlpKRb+tFDcLwVHpF48U2+bgjHjxoj2S/+B/fHAw/eJ3uFFRUUoLipGWWkZho8YBmcXZ9GmkC5APfhI0zbOKVKbSbo4ZSKTnTc9wMU89yl+fr544eXnRXtFapvcfd/dOHYsA1lZ2ed9/VKb7/GnHsOzTz0vJkeZ/dEneOudN+Dj63Pe446mHYWXt+c577vYc5H2k4JpUltSam/ePP5m8ZreePs1hHcKE6931r0zUVJSgtQDqU2OlcpYuqDHNhVRy2LwiYiuiJRIOzYuRnyJnyIFcaRt+/bub7JvUFBQk3V7ezvRLftyHqtTRHjj/6Wu29KVRWm/M69cnUkK2kgBp6V/LBXr0lDAkpJS3DL+5ot6vedKOB4bH9vs/uXl5bC0tGyyTeq9dDD1EAYOHtBke2BQIOzt7bF/3/9fqxRMk64Snuqm/+svi9AlIR5+/n5nPZeVlRXKysou6nUQERFR65IupJ2e71HqDRQQGICDBw+JdSlgIiXV7pLYpclx0sU1aejbkcNpIhAyeOggTJ86A88+9RyW/vEniouLr/jcLua5T5HOWbqAd3r7TVJaUnLB55EmZenVpxdefek1TJk2GUOGDbngMedqO13quZy5n62tbeP2M7dJ7cAzWVlaovyMtAdEdGUufJmfiOg8dDqtGOol9QBqsl2rQ3RMdJNt0lW4cyWVvJzHkhJ///8xGh7n9EaG5PRhaadYW1uL5Nzffv2dCERJtwMG9RdXxi4l4fjFkgJCp4YMNr4enU7cvvPmuyK3wumkruLZ2f+/ejdo8CBx5XThLwsxfsIt2LZlm7hqdy5VlZXi9REREZHxyUzObofIZCaNQ8QM/92e2V451VPp1H6fz/1M5EHa+M+/ot3y4P0P4dHHH8H0Gbdd9rld7HM31347sw3XHGlI25FDh8XzSOkVLrbtlJeXf877LvZcmtvvXG3Dc72OysoqWFtbXdT5EtHFYfCJiK5IRGSECHjMXTD3nA2stngsKRgkdWmXekeNHju6cfue3XvPuf+tUyZhyIBhIg+BFMz55oev0Fqkrt65ubkiZ4PUFV4ivUapy/mNN12P22ZMP+sYU1N5k9c2avRI/LZQyhVhBrVafc7k5dJVSilX1rl6RBEREVHbkxJhS8P8T120qqioED2ZpWFuEk8vT9Ezaveu3SJdwCnSuhQkkXpEnxLfJV4seBD4/NM5Yvj+tOlTzxlMkXqNnwouNedSnvtKPPbQ4yK48/3P3+HWCZNFgnNpqN+F2k7nS2nQ2goLC1FTU8M2FVEL47A7Iroid868A/v3J+PzTz9HZWUFFAoz5OflYd6cuVi8aHGbPdaMO2/Hj9//hNUr14hhdXv37BUJzs8lNCwUCV0T8PijT8DX1wc9k/4/a1xLk5KcS0krk/enNNn+yGMP4/PPvsDa1VJCTJ0Irkk5Dp596llxezpp6J0UwPr8szkYOnxoky78pxxIOSAaSt17dGu110JEREQXT8on9MyTz4gUA9JQOWlWW5VKJb7XJVKQ565Zd2LeF1+K2Xyl9osUdHn37fdx0y03wtnZSQzFf+LRp3AgJVVcyJLyPyXvT4anh8c5A0+nAkvpR9PPmi33dBfz3FdKCjStXr0Gsz+fja7dEvH8i8+J4XfS7H3n0617N2Rn51x0T6mWtnPHLhHAO3NIIhFdGfZ8IqIr4u3jjUW//4q33ngLfXv2EwnDPT09MHL0SAweOqTNHmvCpPEoKCjAww88InIFeHt7Yer0qWKa3TOTfUtunTwJd2/ZhgmTJpw1XO9CCcfPJOWLkpJfnovUw0nKPbX8z+WIif3/0EFpJhpzczVmf/Qp7rv7AdHICQwKwKQpk8662tg5ujNCQoNx6ODhxgbrmZaJx48RVwuJiIjI+Hom9RCzug3qPwSFBYWIiOwkZmmThpWdctfdd0Kn1+HxR55Afl6+yEM0etxoPP7Eo415o6I6R4r2TVpaGpQKBRISEzBn/pzztom2bt6GxNiuYsbf+x+8DzPvvuus/S703FdC6n3+2suv4/mXnmvM0zl+4i3YtnUb7r7zbvz511KRA+tcEhK7iDah1LaRene1NanNNmjwQKYyIGphJoaLGaxLRHSRpBwBZ16Jk7bV1dWflStJusom7dvcLHOX8lhn5lSSchasWLYCd82YhZ37totE3qeTZs978fmXsHXH5mYbP2c+pjRF8blIw+TON1Peyr9WiaudGzdvgEqtOuc+58pZdTrpaqdOpz/n65YSrid1640XXnpO9IwiIiIi47rr9pnQ6nT44svPm23TNNd+aU5zbQWpjSA5Nbz/zDaC1EaRHvd8+zX33Oc6RjqP2to6KJWKZtsuUjoArVZ3Vrvl1LFS7/bzlcfXC77Gt19/j7/WLG98jos9l3Pt11z7URoWefq5SD3UeiQk4bufvj1rIhsiujIcdkdELepcDQlp27mCJlKPpPMFbS7lsaQrdq+/+gays7JFA0PqOv7aK29g4OCBZwWepIaFlC/hlgm3XFTgSSI1yE5NWXzmcr7XIJGunkkz/X391TfN7nOh3ldSA6q5gJs0JbI0hTMDT0RERFenCwWeJOcLPJ2vrSC1Ec4VUJJIPa9OPe759mvuuc91jHQeUpvkfG0XqW10rnbLqWMvVB7jJ44X7bkl/81OfCnncq79mms/nnkun3z0qZiNmIEnopbHnk9E1C5IDZS5c+aJWWCkAJSUq0CazvfBRx5oMl3vlElT8c/6jUjsmoDP533WpOt7a5KuKErn2Fyj70pIV/ikhtOFGq1ERERknJ5PdOmk3lOSC13ka0lSr3zp+S4mWEhEl4bBJyJqd843hI2BGiIiImpt5xviRkTUETH4RERERERERERErYb9CYmIiIiIiIiIqNUw+ERERERERERERGgt/wPAQgFiDf/gBgAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 1210x418 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mat = nemo.structures.materials.EffectiveMassMaterial(\"free\", 1.0, 1.0, conduction_band_edge=0.0)\n",
    "dx = 0.01\n",
    "wire = nemo.Heterostructure1D([nemo.Layer(mat, 5.0), nemo.Layer(mat, 10.0), nemo.Layer(mat, 5.0)], spacing=dx)\n",
    "E = np.linspace(0.001, 1.0, 400)\n",
    "T = nemo.Transport(wire.hamiltonian).transmission(E)\n",
    "print(f\"uniform wire: transmission between {T.min():.6f} and {T.max():.6f} for 0.001 eV < E < 1 eV\")\n",
    "\n",
    "box = nemo.Heterostructure1D([nemo.Layer(mat, 10.0)], spacing=dx)\n",
    "st = nemo.eigenstates(box.hamiltonian.sparse, num=6)\n",
    "order = np.argsort(st[\"energies\"])\n",
    "Ej, vecs = np.asarray(st[\"energies\"])[order], np.asarray(st[\"vectors\"])[:, order]\n",
    "kj = np.sqrt(Ej / HBAR2_2M0)\n",
    "L_eff = box.num_sites * dx + dx\n",
    "print(f\"box: {box.num_sites} sites, effective length {L_eff:.2f} nm\")\n",
    "print(\" j    k_j (nm⁻¹)   jπ/L (nm⁻¹)   k_j L/π\")\n",
    "for j, kv in enumerate(kj, start=1):\n",
    "    print(f\"{j:2d}   {kv:10.5f}   {j * np.pi / L_eff:11.5f}   {kv * L_eff / np.pi:8.5f}\")\n",
    "k6 = 6 * np.pi / L_eff\n",
    "print(\n",
    "    f\"relative error of k_6: {100 * (1 - kj[5] / k6):.4f} %; (k Δx)²/24 = {100 * (k6 * dx) ** 2 / 24:.4f} %\"\n",
    ")\n",
    "\n",
    "fig, (a1, a2) = plt.subplots(1, 2, figsize=(11, 3.8))\n",
    "a1.plot(E, T, color=style.OPEN_NEMO)\n",
    "a1.set(\n",
    "    xlabel=\"energy E (eV)\", ylabel=\"transmission T\", ylim=(0, 1.1), title=\"open wire: every wave propagates\"\n",
    ")\n",
    "x_full = np.linspace(0, L_eff, 400)\n",
    "for j, c in zip(range(4), style.sweep(4)):\n",
    "    v = vecs[:, j].real / np.max(abs(vecs[:, j]))\n",
    "    v *= np.sign(v[np.argmax(abs(v[: len(v) // (j + 1)]))])\n",
    "    a2.plot(box.x + dx, 2.5 * j + v, color=c, label=f\"j = {j + 1}\")\n",
    "    a2.plot(x_full, 2.5 * j + np.sin((j + 1) * np.pi * x_full / L_eff), \":\", color=style.REFERENCE, lw=1)\n",
    "a2.set(\n",
    "    xlabel=\"position x (nm)\", ylabel=\"mode shape (offset)\", title=\"closed box: k_j = jπ/L (dotted: sin k_j x)\"\n",
    ")\n",
    "a2.legend(frameon=False, fontsize=8, loc=\"upper right\")\n",
    "fig.tight_layout();"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e27a5dfb",
   "metadata": {},
   "source": [
    "The open wire transmits every wave between 0.001 and 1 eV with $T = 1$ to six digits: a continuum of\n",
    "propagating waves. The box of 1000 sites ($L + \\Delta x = 10.01$ nm) keeps only the waves with\n",
    "$k_j L/\\pi = 1, 2, 3, \\ldots$; the discretization lowers the sixth one by only 0.0015 %, the error of the\n",
    "finite-difference second derivative: the discrete energy is $E = (\\hbar^2/m\\Delta x^2)(1 - \\cos k\\Delta x)$,\n",
    "which makes $k$ too small by $(k\\Delta x)^2/24$. The mode\n",
    "shapes are the sine functions of the formula. Nothing in the calculation knows whether the wave is a\n",
    "string, a sound wave or an electron: confinement alone makes the wave numbers discrete.\n",
    "\n",
    "### Coupled resonators must be in tune\n",
    "\n",
    "A standing wave is a resonator, and one resonator can drive another: a guitar string drives the\n",
    "wooden body, which radiates the sound. Energy passes from one to the other, but only efficiently if\n",
    "the two are in tune. Klimeck connects this with energy and momentum conservation, which will\n",
    "reappear as selection rules for electrons and photons. The cell models two oscillators of\n",
    "frequencies $\\omega_1$ and $\\omega_2$ joined by a weak spring of strength $\\kappa$,\n",
    "\n",
    "$$\\ddot x_1 = -\\omega_1^2 x_1 - \\kappa(x_1 - x_2), \\qquad \\ddot x_2 = -\\omega_2^2 x_2 - \\kappa(x_2 - x_1),$$\n",
    "\n",
    "starts the first one and records the largest share $E_2/(E_1 + E_2)$ of the oscillator energies that\n",
    "ever reaches the second.\n",
    "Coupled-mode theory predicts $g^2/[g^2 + (\\Delta/2)^2]$, with the detuning $\\Delta = \\omega_2 - \\omega_1$\n",
    "and the coupling rate $g = \\kappa/2\\omega$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "8de76539",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:52:57.570042Z",
     "iopub.status.busy": "2026-10-24T22:52:57.569954Z",
     "iopub.status.idle": "2026-10-24T22:52:57.702716Z",
     "shell.execute_reply": "2026-10-24T22:52:57.702414Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "detuning Δ/ω₁ = 0.00: max transfer 1.000, coupled-mode estimate 1.000\n",
      "detuning Δ/ω₁ = 0.01: max transfer 0.806, coupled-mode estimate 0.800\n",
      "detuning Δ/ω₁ = 0.03: max transfer 0.314, coupled-mode estimate 0.308\n"
     ]
    },
    {
     "data": {
      "image/png": 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b2otsAMsqn/Hz9YNauV9vrL+fP2rXrZXlfk1bNkadBrUytMDOnboIRmb60NbRRmFhb6g4XtIoDqjuqe6Li48eXhg7+D+8836DFEFKhsfkpOVRwcwWTTs3QLvereHvFwB5RTkobRbg9u3b8PT2ZBcpEZEQjhf+bvx28JYSbEo4YsGaOShf01xkr6u4KYzPnISYBAR+C4Eo6ZloQ1456wYkZtuW7TxQXL9lHbS1tDB39jwcOX4Is+fNwrRZU7Fs6VJcvnYR82ZvgI29DXoP7MH327F3O5KTk5AQn4Arl69i7rw5cH1wCwoKChjYdxBvZd17aA/fdsvGLejVvzsWLZ+PN29fo0f3XmjfpQ1v7JKX/7N87N/O9ZvXsGrtSqipq2HYoOG4/+gOH2PDTOk4GaX0S+LcpTPw9PyIUcNGwc7JBpUqV+L7Xrl6GWs3rEYZszJ8+7i4WHh98sSBI/vg5fUJ/XsPgL2DPVavX8nL26t7H3z69hENGzfg2995eIt3F2AZlTas24hNWzZg9/5dwkv4xmUNoaGhnqHMLGjPzXGioqLQoeNEDBo6EO3at8XVK1cxcfJEuN6/xetkevtpGD1uFJq3aIbjR0/g3LlzaN+pHT9v4+Pj0adfb7Rt3wYr1y6H5wdPjB4xFifPHsf7t+/w+s0rHD5+EHLy8ji4/yCSpOJhYWkh8u/bIhXAPnvyDCqqKihvVR52Dna8+4DLlWuwLGfJH3/x3J3/SqhTt06Wz6GkrMRvhBAizoK9QzGmzwS89X8tXKcir4qK1s5o3qoZWvdoARU15V87+AGljUth2uLJmIbJCAoKwuVzV3Hx7CU8c3+KxKRExCXHwjP4DY7NP48mg+qhcgd7YUsKKdpY8HpowlmRlqH7ijYwsCqV7TZ7d+/DshVLYGNTgd+fMWs62rZszwPYNm1b47rLdfTo0hM//QNw9cZl4X6KigoAFHh6zW49uuLQgUPweP0GBgalcfPGLTx7+QRa2lp82xWrl/O/LIiTkpLmAdrf0nKOHD0C1hVSWyPbtmuNt29Sx9L4+PzAE7cneOHxDOrq6ihtUBpdunXBsSPHeQDLDBsxFDa2Nnw5LR/99NnT+LbsxgLb7j27wco69fnrN6iHN2/eCANYNn6HYWWcPmsabMvb57j/aU6Pc+vGbejq6WDo8CH8sd59e+Ps6fN80Luqmirfv9+Avql1MWYEThw7ITwGy83P6n/cf2P5/RIlS6B1u9a4dOESTMuUgYamJkobGPBtpkybjKKi0AJYr49e/ER54/GG37939z4/+WztbKCjo8PXzZg2C9YVrLFyzXL+S2rytEmYPWMO77ulq6eL9Ws2oGnzJnByrlhYxSaEkEL3460/Ts29guq69fAzzA/W5a3Rs38PNGxTDzKyMjl6Dl1dXfTq34Pf2ECRO653sWfbPlinOEEpSRl3dj9GiE8YGo+oBRm5nD0nIdlhraS+P3wxZOAwSElLsVFKSEkR/L81MZ4HQAMGDUDblu0waepEaGhqCPe9cukKNm/cAu9v33mLILsF/PzJn4NdPU0LXvNKRzc1zmAUlZSEY2X8/fz487PgNQ0bLH718q9sRyz4++P5dHR/PZ+iQsbnV1TMMBaHva5TJ07zBrjkpGQkJCQgKDCIxzV/LXcOj+Pv5w8TU9MM+7LXwdarRanBxMQ4w2MmZUwz5Nz/5PUZtlb2vL7ZoDJWxo6dO2DoiKHw9PREx7adeIDcomULvr4o/PDNNIC95nIdZ06dhaysDGrUrI4OnTpARubXB1xoSCjGjBqHfQdTm/Nz4uH9h7h27QZfrl23Ng7uP8SXx08YJwxgnSs5wdj4VyWzX2ElS5bgkyC8dH/Jfz306tMz76+WEEKKOJZR4MKyG0hKSIaivBI2rdyCKm0d/+k5WQtQ02ZN+C3ULxyn5lzhwetrl/f48cUXPea3h5K6Yr69BlIwl+9ZC6ioy5AdFiewoGzzto3CVsL0wRdrdZw9cw5atGyOndt2oWPnjihRQo/HFGNHjcemrRtg72jPA7OuHbshMSkJJfVL8cfZJXJVVdU/jvmvgRTri8q6GrJAMK1PLAvC9UqUyJdjuN6+g0MHDmPjlvU8vmHPVdHOmb+2/KRXQpeXOz1238HRntebn59/hsdY98w0JUuW5Nvt/S2mY31e2XvKWmbZjfUfHjpwGKSlpdGhU3sUuQD24vlLGDF0JMwtzHnn3bOnz/FcYVt3bBH+AmIVn5bmKqd69e3Fb9mZv2jeH+vqN6zPb4QQUtwtmbwcNy66opFxS8jKy6LlpAawrJ7a7y6/aOlroMfKtji35DpOXjmO12+e8VaaYSv7Qcfo31q5SMFhfU//dvm+KOjcpRNWr1iD5auWoWSpkvyqK4sjZs6ZgfVrN0BeTg7rN6/DgrkLMfm/ybwvaFR0NA/szMqa8a6DFy9cwhuP1BjD0NCAX8qfOXUW5iyYAwEbVLRpC6ZOn8If19HR5oFVXhmbGKNc+XJYung5pk6fDK+Pn3Dk0FGsWL0sX+qDDb5SUUlNASovr4A1q9YUSNaE2nVrY+a0WTh5/BTatGuNa1evwf2FO1atXQEFRQXMmDqTdwlo3LQxTp04xfu5pqlTrzYWzluEc2fO88A0NjYO586cg76+PkJCgqGkpMy7KWhoaPAr52FhRSO70x+JAletWM1PtOu3XXDzznV+crGm5W6duyMwMFA0pSSEkGKMNRaM7TMRWw5sxsfQt3gW/ACdF7bI9+A1jaKqAmy6lsFjvzuISYrGvofbsHjAGnxz9ymQ4xHJMWb8aD7QqHWLtrCyqICZ02fzrn/uL15iz669fCAVa8GbNHUS71bIWieNjAzRd0AfNGnYDA42FXHx/EXY2v+a+GjdxjWIjolBNefqaFivMc9SkIZdmd23by+szCtg47qNuS4vC5w3bF7H88vbWTugT48+GDpiSL41nDVu0pgPSneyq4SaVWpCkCIQ9onNT9ra2ryhkXVXYHWxdNEy3qKtX1qfP7Z+01rMn7OQ97+95nID1apXE+7Luk/sObALZ06fhb21I+rWqMcD3CrVKqNu/Xq4fu06KjlU4Tf2fKwfblEgJWBD4/6P9VFxqOCItx89+AmWvn9Er269+bqDRw9ARlYWzRu3wFN3NxR1IcEhGDd0ElZvWUZZCCQEZSGguhcn8XHx6N9+CO6/vMPvqytqYueuHahUp2KBn/dsIMek/6bwAFpaSgaNTFpi2IxBcGj2awIZUjB1LwlYS2Na90PWp5L1h00drIVf65JToKiU2n2FnYcsoGQ3Fo+wboxpM3EyLFzJ7HI+q/9SRnp8vExmWQjiYuMgJy8nLAvrypCUlJyhLL+XN6t9GdanN/2gsd+3Ya+LSV+W9M/N+qSz7grstfz+XOnl5ThZvY40/N+6tHSm9Zv+8d9l9ZyiPPczlJIlv2YVytJYpGdkbIRjp49BXkEenTt0hc93+pVOCCH/KiIsAu3qdRIGryXVS+HU2eO5Dl7zivVB3Ll3BxQVFJEiSMbVr2exYvZq3Nz2gAcWhPyL9AEPC7J+Dxj5uv8HrwwLnNICVLbt78FVdn1R2fNkFrymPZa+LOx5fy/L7+XNal/m94Dz921YOX4vS/rHWQts2mvJLntCXo7DZBW8MmnBaWb1m/7x3DynqGQoKasIlsJqx7adf2zIOlofPXGEt2KyXGSEEELyztfbD81rt8Zbbw9+36yEOc7fOAtzm7KFWq316tfF0VOHoaWZ2v/13o8bWL95PW5su1+o5SCEkNz4I9Tu2783Vq9cwzv7/o6lvDh09MAfowsJIYTkXExkDDo06wSfYG9+38GsIs7dPo0SpfVEUo2sz+LpCydhZJR6KfBFwGNs2b4Fnvc/i6Q8hBCS6wC2VZtWeOL+GDVq1siySZt19j1x+thfn5wQQsifDq06gYDwAL5cr2IDnLh5BKoa2SdiL2hslPSp8ydQvnx53h9WSVYZV9a6Isw/QqTlIoSQHAWwrP8DG7GWPsHw71gaBfZhRwghJHe+vfyB0Cex6FyuD6qXq43tpzZDVq5oTIrIcmLu3LcdW9dtg30JZ8RHJ+DC0htITsz/tD+EEPIvMu+tSwghJN/FRsTh0sqbgADQ1ymNLUfWF5ngNY2BgQEata+H6t2c+H0/zwDc2Vv0M84QQiQLBbCEEFIIWBqaXbMOIio4ht9vMroO1EuoFdm6r9a1IoxsS+NnjB8O7ToCr8dfRV0kQggRogCWEEIKwfz/FmPF8UVw878H6wbmKFfTrEjXO8upmWQZgVMfD+Cm92XsX3AMEYFRoi4WIYRwFMASQkgBu3ftAfad2AMBBPCO/oza/auIRZ07Vnbk+R+TBUk4//YETi28hOQk6g9Lip6Vy1Zhx9Ydud7v2dPn6NGlZ4GUqSgfu1gHsMHBwWhUr0nhloYQQoqZ8LAIjBk5FimCFMhKyWLNhtVQ01SFOKhgY40pMybz5ZC4IJy4dRT3DzwVdbEI+UN4eDgio3J/hYDNZhUYGCSSGi3sYy9dvOyPID+vgX9ejpXfshw9oKKsgh8+P7Kcuo0QQsjfjegxGsFRqV9S/TsPQrWGlcWq2voP7Ic7rnfhessVHkEvcHjHcRjZ6KOMs7Goi0YIyYXwsPA/Zu4aOGQgn4W1MI5VaAEsm7LMxrYCbly7iYaNGxRoIQghpDjauWYP7rmnThNrY2KPKcv/g7hhDRgr1yxHk/rN+JW5m96XYLzIBKO294eqjmhz15Ki6fDBIzh98jQiI6PQo1d39OzdQziQccvGLbh86SpkZKTRpl0b9BvQl59jkydMQfWa1dGmbWu+7RO3J1i3ZgP2H9rL7y9esITnof/y+Qtev/bgVwfmzJsNLe3UGeR+d+TQUZw8fhKRkZFo0LABxv43BnJyckhKSsLypStw68ZtlDbQR/0G9bJ9Ley4LBDz+e6Dly9foVw5S8xfPI/PWOpy2QX6pfWxcMkCYWrR7F5jTo6dVblz8xrdX7zEymUreSOkg6MDps+ehkcPHuPMqbM8VerRQ8dQrXpVrF6f2vqqoaHOA9ncvla275ZN2yEvLwtDYyMMHTYY9RvWx8XzlzI9Vm5fX54D2JiYGF7IYYOHo0Wr5ihbtixkZH/NhctOpD79eufpoIQQUtx5vvmIpauW8mU1BXVsObCRD4wSR7q6uvwLqHf3PohPjsOFNydhstQIXRe3FtvXJK5Yv8m/cXC0F85dzwIqFtD8jZNzxQyXtl+/8sjy8ezs3L4Le3btxbyFc1GqVEkc2HcQnz99hllZM6xfuwGXLlzG4mWLkJiYiAnjJkJWVga9+/ZGSEgoYmNihc8THxePoHSX18PCwrB71x4sWDwfQ0cMwdpV6zB65FhhgJve/j37sXvXXr6ttrYWFs5fjFUrVmPy1ElYt3o97rrew/JVSxEeHsHLoKmpmeXrYcdlM5MuW7kUw0YOxaT/pqBZoxY8KN2+ezt27diFWTPmYN/BPXz77F7j346dXblz8xpHDhuFAYP6o269Onj18hX27NyL4aOGoUnTxtDW0cbAwQOgoKgg7HqR9m84t6+1S/cusLNxhIFpKbx88RJjR4/HhcvnUL9hvUyPlZvXlyOCLAQFBQmqVKyW5a1545YCcRAcFCzo3XEA/1uYvnzwLtTjEar7ooDO+1RJSUmCOo71BSalywhMS5sJTu44UyzqfsHchfw1sdvQ6uMFd/e5FfgxxUFhnvdp9Z/dLTo6Wrg9W87JPukFBARk+3h2qleuKbh6xSXDupSUFP6XxQ63bt4Wrj9z6oygcf0mfHlgv8GCwwePCB+763pX0LRhc+H9Sf9NFowcNkp4Pyw0TFDW2ELg+8OX1//MabMEq1as5o/VqlYnw3E+eX0SONlX4suVK1YV3LtzT/jY9q07BI3qpZYhM+y4s2fMEd4/uP+QoEmDphme297aUXg/u9f4t2NnV+7f1cpm24q2zoK3b97+Uf9TJ00T1lGa9PWW29f6+7k/bfJ0wc7tu7I8Vm5eX05k2QKro6ODR88e5C0qJoQQCfby8jtYKtrCV9oXjas1RfsBbVAcTJj8H2/RMRSURck4Izw69gIW1cugZFldUReNFAGstdf3hy+srK0yrE+7fP7z50+YW5gL15tbWOCHj2+On7+seVnhMpstlF0ZYMfT0SiRoQzsEviUCVNTrxoLBEhOTuGtuVFR0Qj4GZDhedKXJyAgEK2b/fq3euveDf63RMlfz6+kpIQSJUtmuB8Tm5rbObvXyB7L7tjZlTsuLh6K/2/FzMm2q9evwvQpM3l3gGo1qqJ3n15ZdrX4XU5fK+Pl9QkL5y6Ct483oqOiERWV2mUkM7l5fTmV4ylgoqOjISsry6eRJYQQkrlg71Dc3vEIFlpWsDK3xtBNvYpNVbHP/yMnDiMiIAq7hh1DUnwSbm69j65LW9Ng30Jy8uyJv26T/nuaLedkn/Q0NDRyvQ/Dui2wqej9/fxgZGSY4TEWP7Dn/en/E4aGBnxdwM+f0NHV4cvycnJITEgQbs/6SP4uMCBQuMwuz7NL3uwyNZIylkFLSwvLVi2FRboAkVFRUYa6hjoCAwNRSr/UH8+po6ON0+dPCu8rKirm6vVn9xrZY9kdO7tyKyhkHAz1t21r16nFbxEREbz/av8+A/nryu8B+SOHjkJl58qYNnsK71a6dvU63v2E+f1YuXl9OZVt56WUlBTs3b0P1SvVQAVLW1iZV0Dj+k1xzeV6ng5GCCHFGcvacmPbAyQnJkNGVhrdZ7eHkqoSihP2xaRRUg1VOjnw+989/PD+zidRF0tisL6of7ul9X9l2HJO9kmPtdxl93h2WrdtheVLVyI0JJTHECePn8J37+/8sUZNGmLjuo28xY211m3asJn3lWTKmJXB7VuuvKWSBa+sr+TvLpy/yFv9mM0btsDI2AgmpiZ/bNe2fRvs27MfyioqfOBRfHw8Dh86ws/dho0aYtP6zTzQCgsNw+6dezLUFds+7ZaXgC+715jdsf9W7py+xri4OD4Yi2UBUFdXR/ny5eDv58/3YQFk2nJ+YC3KdnZ2sLC04Mdn71+azI6Vm9f3zwEs64y8aMFiPqqMRc2sUzaLnIcMGAqXq9fydEBCCCmu9m04hHt37vFl5/Z2xfrSunM7OwRI/cAxzz04t/EqEuISRV0kUkS6mRgZGaFapRpwsKmIhw8eomSp1MvQU2dM4X8r2jqhkkMVlChRAqPHjeLrevfrDV9fP9hbO6JR3SaoUMH6j+euU7c2BvUdBJtydjh+7ARWr1vJR7pnVgY2gIw1vtlZO6B/7wFwrOjIH5syfRKCgoL4cRrWbQTnSk75+vqze41/O3Z25c7pa1RUVOQtvvVqNYCjjRPmzJqHuQvn8H1atWmJmzduwdm+EsaNGv/Pr5WVYcbMGaho64xB/YfA1s5W+Fhmx8rN68uRrDrHsk6/rLPujWs3/nhs3er1gi4dugnEAQ3ikjw0kIjqXhRCQ0IF1qa2fMBL+8rdBPHR8cX6vP/86bPA1MCMv95GFVpI9IAu+sz5U2JioiAmJibT+oqNiRXExcVl+lh4eDj/yx4PDAwUrmcDjDau38SXIyIi/qj/sLDwP9YnJyf/sS5NZGSk8Dhs0FpW2GCxtG0Z9pqCg4MzDNj08/XL1Wv827GzK3dOt01JSeGfSZmtZ/Wa9hrS11teXuvHN5+F+7O/ae9fZsfKy+vLTpYtsKz5mTXv1sskT1nzls3h/e1b3qNmQggpZuaMX4DohNSZgFp2bAZ55YJN4i1q7JJv566d+LJn6Fuc3XsRYX4Roi4WKSJYn0826CerPPNZjadhl70Z9jgbpJUZNTW1P9axXKa/r2ets5lty6iqqgqPo6enl+XrYIPF0rZl2Gti/XzTdztI69Oa09f4t2NnV+6cbislJQVNLc1M17N6TXsN6estL6+Vvc9p+7O/ae9fZsfKy+vLTpYBrLKKcuqIQt8/Rwh++vQJGtnkTSOEEEny3uMDzl07w5ctSpZHn/GpiduLO3ZJkM3ayLh+u4YbO+6LukiEEAmRZQDLOnHXa1AXg/oNwYP7D3lnZNYpm82wMH3KDDRr3rRwS0oIIUXUlNHTkSJIgTSkMXvBLIlJ7s9aj8b8N5ovB8T44dKlS/j6wkfUxSLF0LQZU9G7b/HJ6EH+XbafsmzKMC0tTXTv3IN3mna0deIzPLDZHdhMGIQQIukunbwC9w+psyPVsquLms2rQpL07d8HJibGfPmhryuubLyJ5KRkUReLFDO/X94mJNs8sKzvwsGjB/D61Wt4ffzE56u1rmDFp4QjhBBJx1L+zJs9ny8ryiph3prZkDTsat2MOTMwqN9gxCRF4drzq3C+4ADntnaiLhohRBJbYFmeMrfHbnyZpUZo16EtWrZuwYPX9I8RQoikWr94E/xD/fhy52ZdYVLOCJKoYaMGqFGzBl92D3CDy25XRIf9mteeEEIKLYANCwvH8CEjc/0YIYRIghQ2DeLLCGgoaEFXpQQmL/33vIriio02njV3BizKWqCFWUfIJcnj3j5q5CCEFJw8jTSIiY7m04YRQoikennlHTRj9dCt3AAsnLEYKhqS/ZlYrnw5uLheQeNWDfn9Vy7v4f/x11SZhBBSoH1go6OjsW3LdsREx/Db6pVrMjzOOuez7gNs6jBCCJFEcVHxuH/gKV8uWUYPjXrUEXWRikxLbJ1+VeH16CsS45JwY8t9dF/eBlLS+TsHOyGE/BHAsskLzpw6y3PApi3/3mG/rLkZpkybTLVHCJFIOxftR0x4Eg/Y6g2qJjFps3JCTVcFlTs5YMeaXfB8KAuH29aoUN9S1MUihBT3AJbNmOB6/xZCQkIwZMBQHD99TDQlI4SQIujc8QtYvncR9FUMMKD1EJg6Goq6SEXOkTv7cfP7ZSjJKsN6uw0sqpoW+5nJCCGFK8tmAxbIUvBKCCG/sAws82cv4Mvh8WFoMujPqbYJ0KFze14NsUkxcH13HY+Pu1O1EEIKLw8s4/XRC7du3MYPX1+kJP9KTs0SCk+aOjF/S0MIIUXYukUbEBgewJe7NO8Oo3IGoi5SkVSnbm3Ub1gfN6/fxKugZ7h+5DYqtraBipayqItGCJGEAPbyxcsYM2ocjI2N8e3rN5hbmOPTp09ITEhE/QbU8kAIkRzhoeHYsWcnXy6pqo8JS8aIukhF2oxZ03Dn9h0+2cPdbzdR53hN1B9cXdTFIoQUE9mOPFi6aBkWL12EQ8cO8mncLl+7iLsPXGFnb4satVKTVhNCiCRYOnsl4hJTk/OPGDQSKhrUmpgdNulNzz49+fLncE+4HL+JyKCoQnmvCCESHMDGxcbBz98f7Tu2g7S0FBITE/n6kqVKYtrMaTh75lxhlpMQQkQmOCgYJ84e58um2mXRfUxnejdyYPjIYVBQUODLj3xc8fDIc6o3QkjBBrARkZFQU1PjaWI0NTURHRWNuLh4/lipUiURFEAJqgkhkmHJjBVISEr9/Bs+ZBhk5WREXSSxUKKEHvr278OXv0Z8wrVTNxHmFyHqYhFCioEcJS+UlZXluV/379mPqKgo7N97AAaGNHiBEFL8JSUm4eG9R3y5rK4lOgxpI+oiiZUhwwdDWVkZpVWNICWQxoPDz0RdJEJIcR7EJS8nByfnisL74yaMw6hho7Fw/iLIK8hj+65thVVGQggRmQ93P6O1cRd80viAFv0bQYZaX3OFpWS8euMyPE56weO6J97e+ogqHR2gY6xVUG8ZIUSSA1hNLU1s3bFFeL9psya4de8mPrx7j/LW5WFgQC2whJDiLSU5BQ8OPeNdqZytKqNl36aiLpJYMjI2gnoPTby97YWUpBTcP/QUrac0EnWxCCFiLFfzHxoaGqBBowYUvBJCJMKbG57CPpvVuzvRlLH/QKOEGuybWiFZkIxnN9wR8Dk4v94mQogEogm8CSEkE95fvDFk7GB8CfeCloEGrOqYUz39owjNQBx+vwNXvp7F3X1uVJ+EkIKZyIBNXjB31jw8f/YCkZGRGR7T09PDo2cP8n5kQggpwuZNWQTfcB/4hf9Ax9GtqfU1HwSGBfIpeMMRhpvXb6Fa14ooXb5kfjw1IUTCZBvAjh45FlKQwn8Tx0FVTS3DY4qKqbn9CCGkuPH6+Bk37l/ny/ZGFVGvY01RF6lY6N23F7Zt3o7g4GC4+d/F3X210GVRK1EXixBSnALY2NhYvPV4i2evnkBdXb1wS0UIISI0f/ICCAQpkIY0xk0eCylpKXo/8oGSkhJGjhnBr+wFxv7EbdfbqPbKCcZ2pal+CSH50wdWTk4OyirKFLwSQiTKW4/3cH3sypcdTSuhdpvqoi5SsdKtRzeUKlWKLz/2v4s7+x9DIBCIuliEkOISwLLJC2xsKsD19p3CLREhhIjQ/CkLAAggLSWD/6aOo9bXfMa6n40aO5Ivh8QF4c792/j67Ht+H4YQIqldCGJiYmBoZIghA4aiXYd2MDI2zPC4iooK+vTrnauDffn8BVcuX0VsTCyqVquC6jX/3rLx+JEbnj19hvj4eJibm6NJs8aQl5fP1XEJISQn3J+/wsMXqYNTK5WtimotKlHFFYBOXTpi84bN8PH5ATf/+7i9twZMnYx4vl1CCPmnFljWB9b11h1oamri1o1b2Ld7f4bbsSPHkRusJbdJw2b48P4DoqOjMWTQMCxZtDTbfaZPmYFB/QcjOCg1X+DqlWvQunlbPp0tIYTktwVTF/K/slKymDBtPAVUBYQ1QowZP4Yvh8WH4Jn7M3g9+lpQhyOESFILrI6OTr6lyWL9m2ZMnYlu3bti7oI5fF2ValV4627HTh1gbvFnfkUWpB4+eATLVy1Dh07t+boevXqgsmMV3HW9i2YtmuVL2QghhEmISYCRoCy+Kn1DeRNrODd2oIopQO06tMXD+w+h9FUbmsm6uLf/KcyrmFKXDUJI/k5kwFpN2WX8vHj75h2+e39H+47thOsaNKzPW3evuaSmqslsEJmKijLi4uKE6+L/v6yto5OnchBCSFaen/dAaTkTdLbsi5mLplPrawFj4yxWrVuJTkNTvxeCvoXA8/5nOkEJIf+eBzYlJQX79x7A1k1b4evrB2lpad5aOnHKBDRq3DBnRwDw+VPqh5KJiYlwnYyMDAyNDHi/2MwoKChg87ZNWLJoGZ64PYGysjKeP3uOGbOmoUrVylkei/WvZd0f0oSFhuW4nIQQyRQfHY8np17xZSMbfVhWNhN1kSSGbaNyeHTsBSIDo/DgyHNY1jCjVlhCyL8FsOvXbsCmDZvRqXNH2DnYISE+gV/yYZf+t+zYjMZNGv39CCyojEsNKFXVVDOsV1NTQ0zMr2Dzd56eHxEUGIRKlZ2hqqqKpKRkvPF4i4SEhCwHcl254IIzx8//sf77Zz9EBEejsKQkp+CrJ42sFQWqe9ER17o/t/Mi4iLBW13L1jXBt48+EDfiWvdMmRoGOLLzGORC5WF5yhQGdqlptsSFONd9cUD1Lzl1b2pp9OuOIAspKSkCe2tHwY1rN/54bN3q9YIuHboJcurCuYsCk9JlBMHBwRnWt2jSSjB5wpRM9/no+VFgamAmuHnjlnBdWGiYwNbKXrB7554sjxUTHSMIDgoW3j59/CTo3XEAXy5MXz54F+rxCNV9USCO5/2je4/451NFs8qC1YM3C8SVONZ9mj49+vL3oIKJvWDH8MP8+0eciHPdFwdU/5JZ91n2gQ0PC+d9Xus1qPfHY81bNof3t285jpgtLM0zdCVgEhMT4e3tDXPzspnu4+X1iQ/+cnT8NZBCQ1MDpqYm8PzgmeWxlJSVoK2jLbxpamnmuJyEEMmzePZy/jciIRwNetYWdXEkUqcunfjfqMQI3Ht2B5/ccv79QgiRTFkGsGwWruTkZPj6+v7x2KdPn6ChmfPA0LKcJSwsLXDowBHhuvNnLyAmOgZNmjURrtuxbSdfz1hYWPC/9+7eFz7+0/8nvD5+4s9FCCH/6pnbM7i/e86Xq5evDZuaVlSpItCsRVNhNppnPx/i7gE3mp2LEJK3AJb1Ma3XoC4G9RuCB/cf8rRWoSGhuHj+Es/P2qx5U+TGkuWLcc3lGnp06YkxI8fy55g8dRKMjH/1Zzh5/BRu30qdwrGsuRlGjBqO8WP/w8hhozF10jS0aNoKFWys+VSEhBDyrxbPWsb/ykrLYezUkZR5QETYAOG02blYS/jdJ3fw5Sn1KSWE5HEQ18IlCzBmxFh079xDuI4NcujYuQOGjhiC3HByrohbd2/g1o3biIuNxfCRw1CufLkM2wwcPAA6ur9SZLFsByxXoPuLl7w7Q5t2bfgMXoQQ8q9evniFp6+f8OWq5jXgUM+WKlWEWrZqgTUr1uDLl6+prbAH3VDGmWbnIoTkIYDV1dXFwaMH8PrVa37pnuVmta5gBbOyeUsxw56PTSGYlbQJC9Jjl5Uym+iAEEL+xeKZS4Wzbo2eTK2vosZSK44aOwrjx/yH8IRQ3H18B7VfVEGZiulGHRNCSG4mMrC1s+UtoS1bt8hz8EoIIUXFm9dv8OjFQ77sbFYNlRo7irpIBEDrtq1gbGzM6+Lpzwe4d+AJ9YUlhOQ+gA0ODs4wU9bpk2fQoU0nzJk1j2cRIIQQcbRr7V7+V0ZKFqP+G06J84vQ7Fwjx47gy2ry6vjy5hu8X/05kJgQQrINYBfOXYSYmBi+7PvDF1MmTYWJiTFuXLuBbVu2U+0RQsQy8XY5OKBFmY5oaN0U1VpWEnWRSDrt2rfF8RPH0NmhN5RklfHw8DOqH0JIzgNYNo3stWvX0aRpaporFrTWql2Lz129dMUSuFy9ltWuhBBSZL2/8wnhfpEw1SiLUZNHQlomRz2pSCFhYy0qVXOGc1s7fv/7az98f02tsISQjLL85I6OjmbTdEFRUYHff/LkKWrXqcmXWeqrkOCQrHYlhJAiSZAiwKOjqXlfNUqpw7ouDRAtqiq2qgAFFXkkpyTj3qHUbBGEEPLXAFZNTQ2ysnJ4+OAR7wvL8rNWrVaVP+b99RvvSkAIIeJk5rg5ePTqIVIEKaja2YFaX4swKTkphJbww4F3W3Hnzh34vPETdZEIIUVIttfOBg4ZwHPAVnOuATs7Wz6jFnPm9Fm0bd+2sMpICCH/7MvnLzh44gBcvp3Dywg3VKif+nlGiiY2lfilB+cRlRiJJz/v4wH1hSWE5DSAZTNhnThzHBu2rMfOvTuEfWPt7O14Wi1CCBEXS2YvhwACSEMavQf2hIycjKiLRLKhoKCAYSOH8uWg2ADcvu0K3/c/qc4IIZx0TmbQatykEZ9K9qPnRz7lX68+PXnSaUIIEQfe37xx7ZYLX66gb4+G3euIukgkB7p268InwGGe+t/Hg0OUkYAQkoMAlrW27tqxG5Ucq8DJrhK6de7B1/Xs2gt+vtQfiRAiHpbOWcH7vUpBCoMHD4asfLaTEJIiQlFJUThteUCsP27fug3/j4GiLhYhpKgHsEsXL8PmjVswdPgQ7NidmveVtcA2atII27emdikghJCi7Pt3H1y5fpkvW5WwQ5Pe9UVdJJILPXp1h46ODl9+4n8f9w8+pfojhGQdwCYlJWH/ngPYe2APBgzqDzuH1Jx8ad0K7t65R9VHCCnyVsxbxVMxsdbXgQMGQF5RTtRFIrmgpKSEwcMG8eWfMX5wvemKn17UCkuIpMsygI2MiOSjQK0rWP3xmKqqKmJYnlhCCCnC2AyCF66c58vl9CqgRf/Goi4SyYOevXtAU1NT2Ar74EhqLl9CiOTKMoBV11DnA7WeP3vxx2Nv37yFialJQZeNEEL+iZf7F+gqluTL/Xr3h4KyPNWoGFJRUeGtsPaWDqhRuj68Hn5FwOdgUReLEFIUA1gWvLZp1xpDBw3DsaPH8dPfn69//+49li9ZgU5dOhVmOQkhJNcCHoejg0VP9LQbhDaDmlENirFhI4bi4MkDMNAy4vcpLywhki3bQVzTZk7lXQgmjZ+MVs3aICgwCM0atUC9BvUoDywhpEjz+xCAL8++Q0pKCk26NYCiWuq02EQ8sfdRVVsZ9s2s+f2PD74g4Au1whIiqbLMJZOQkID3b99jz/7d8HjtwbsNSElJ8wFcZmXNCreUhBCSCzExMbh/6AlfllOUhVMbW6q/YqJyB3s8vfAKn4I/4NGR52g9tZGoi0QIKUoBbGRkJIYMGoan7m6wsbXhN0IIEQdzpszHtQvX4FyqBnoO7AZlDSVRF4nkEy9vLxzy3I6wyFAoXVFG9e5O0DXRpvolRMJk2YVAQ0MDsTGxiIuNK9wSEULIPwj4GYDTZ04hND4EXyI/wrm9PdVnMWJWtgySkSTMSPCQMhIQIpGyDGBlZWXRqUtHLFqwGPHx8YVbKkIIyaNVi9cgMTmRL/fu0gcqmtT6Wpyoq6tj4JABfPlHlDduXr6NIO9QUReLEFJUuhCEhoTiwf2H8PzgidMnT8PQyAiysjLCx7W0tbHv4J7CKichhOSo9fXkqZN8uaxWObQf3pJqrRjq278vdmzZicioSLj53cejo/XQcmIDUReLEFIUAlg5eTnUqFmd3zKjpqZWkOUihJBcW7tsvbD1tVfHXlDVVqFaLIY0NNTRf3A/rF21Dj+ivuHmpduo3s0J2oapkx0QQiQ4gGWzbc2eN6twS0MIIXkUGBiIYyeO82UzTUt0GNma6rIY6z+gH3Zu24WoqCi4+d7DwyP10GJCfVEXixBSFPLAEkKIuFi3fAMSkxL4cvf2PaGmqyrqIpECpKGpgf4D+/FlH9YKe/E2Qn6EUZ0TIiEogCWEiD3WZ//I0aN8uYyGBTqNaiPqIpFCwAJYdrWQ+R7xFY+O/jn1OSFEwroQEEKI2IiTRnPT9nDzu4eubbpDowT10ZcEmlqaWLRsIfwfhyL8ZSze3vqIat0qQktfQ9RFI4QUMGqBJYSIPbcT7jBUNUGHcj3ReXRbUReHFKLWbVqh86i2kJKWgiBFQK2whEgICmAJIWItPCASHtc9+bJ1PQtqfZNAmvrqqFDfgi+/ueGJML8IUReJEFLAKIAlhIitkJAQrJm1AUlJSbwFrmpnR1EXiYiIfRsrvAx8gutfL+LxceoLSwgkvQ8sGxzx7t17REZGZlivoKCAuvXqFGTZCCEkWxtXb8bu8zuhoaCFGf3nUB5QCXb87DHc+3GTL18/extVOjtCs5S6qItFCBFFAHvh3EVMHD8JsbGxfzymq6eLp+5uBVUuQgj564/rAwcO8mUWwNbrXZNqTIL16tMTWzZu5d9XPC/s4dpoNq6eqItFCBFFF4I5M+dg4OABePrSDe8/vctwu//4bkGViRBC/mrDmk2IT4jjyx0bd4ausRbVmgTT1tZG7369+PK3iE+4ed4VIT6UF5YQiQtg2ewm0dExGD9xHHR1daGoqJDhxroQEEKIKAQEBGL/vgN82VjNDF3HdqA3gmDw0EFQVlbmNfHI9w7uH3xKtUKIpAWwLDm0kpISEhJSZ7YhhJCiYu3ydUhIjOfLnZp0QYkyOqIuEikCdHR0MGBQf778PfIrbly6hYAvwaIuFiGksLsQtOvQFiuXrUJKSkpBHJsQQnLtx48fOPr/WbfKalqi6zhqfSW/DBwyEOpqqRNZPPa7g3sHnlD1ECJJg7jYAIm7d+7B84MnThw7CQPD0hke19LWxr6DewqjjIQQIrRy8WokJSfx5S4tukPPVJtqhwhpaKhjyIghWL5kBfyif+Cmyy1U7+qEUhZ6VEuESEIAKycvhxo1q/NbZtT+/wuXEEIKS3JyMt67p05aUE67AjqObk2VT/7Qb0Bf7Nq+G1oCPajLa+De/ifoOK851RQhkhDAsj6ws+fNKtzSEEJINiJ+RqG+VktYSNvAqZ4D5X0lmWIDuW7euY5XZz/g0bEX+PLsO3ze+MGwgj7VGCHFBM3ERQgRGw8OPePz3RtrlkHroU1FXRxShGloaqBSe3soqMjz+6wVViAQiLpYhJCCaIFl0zJ2bNsZOjra2LpzC1/OCtvm+Olj+VUOQgjJ1s8vQXh7+yNftmlUDpr6NMsSyZ6imgKc29nh1t4HcHd7haruFWHqaEjVRkhxC2BZbtfmLZpBRVVFuJwVtg0hhBSGVy9foW+XAXDQrAzrEnao1rUiVTzJke+CzzjwfivkpORhtbc8TBw6QEpKimqPkOIUwKqoqGDC5P+E99MvE0KIqCyaswQhkcG4E30dLTu2gLqeKr0ZJEfkFeQQmxiDWMTg1qMbqPmkEspWNqHaI0TMUR9YQkiR5vbYDY/cHvFlx5KV0Lh/HVEXiYiR1m1bwdzCnC8/9X+AW3se8H7UhBDxRgEsIaTIYoNuWOsrIy+tgD59+kJVm7ovkZyTkZHBhEnj+XJUYiRuP70JzwdfqAoJEXMUwBJCiqw7rnfh/sqdLzsbVEX93jVEXSQihpo0awIbWxu+/OznQ9zacx8pyTTDJCHijAJYQkiRbX1dPDe19VVRRgl9+/eFsoaSqItFxBAbtJU2piM2KQa33W/gnauXqItFCPkHFMASQookl6vX8N7zPV+ubFQTtbpVEXWRiBirU7c2nCs58+UXAY9xc+89JCcli7pYhJA8ogCWEFIkW1+XzFvGl1XkVNFvcB8oqSmKulikmLTCxifHw8PrNTyup05LTAgpRlPJpgkNCcW7d+8RGRmZYT3LE1u3Xu5GAx86cBjnzpxHbGwMqlaripFjRkBNTS3bfb57f8eWTVvh4fEGpUqVxLARw+DgaJ+r4xJCxE9jy5a4EHwWViUroHpHJ1EXhxQDVatVwbj/xiL2GSATpoD7B5/Cqq455BXlRF00Qkh+BrAXzl3ExPGTEBsb+8djunq6eOruluMDbVy3kQei8xbOg46uDpYsXAp395c4cvxQlkml3797j84duqJR40aYOXs6oqNjsGj+Iuw9uAdKStQXjpDi6utzH8gGKqGteVfU7OUMBRUFUReJFBNjxo/Gx4dfcWbBVUSHxODp6Veo3o1+IBFSrALYOTPnYODgAejTvzdUVTO2lOZmIpO42Dhs2rAF/00aj3Yd2vJ1+vql0KheE9y/ex81a9fMdL9pk2fAsaIjVq5ZLlxXs1YNSEtTzwdCinP3gXsHnvBlZQ1FOLWxE3WRSDFjXtUEhjb68PHwg9vJl7BvagUVLWVRF4sQkgtZRoJRUVG8xXP8xHHQ1dWFoqJChhvrQpBTL1++QnR0NOrVrytcZ2FpAUMjQzx8kJqg/Hffv/vg+bPn6Naj6x85/WgaQEKKp/DwCCybsQo/3vvz+5U7OUJeiS7vkvzFvkOq9nDgExtc/XAW9w89oyompLi0wKqqqvLL9AkJCbkKVjPj5+vL/5YoWSLD+hIlSsDP1y/Tfbw+pqY4UVVRwbBBw+Hr6wtjE2PeImzvkHUf2NiY2AxdHsJCw/6p7ISQwrNh7QZs37MD6vKa6F9jGBxbWFP1kwJx7OIRPPa/y5evnrgOp1Y20DHWotompDh0IWCX+1cuW4Up0yf/02X7pP+nKpGTy9iSIi8vj8SkxEz3SUxMXT9l0jQ+i4qxiQkuXbiEDm064eTZ41kGsVcuuODM8fN/rP/+2Q8RwdEoLCxJ9lfP74V2PEJ1XxT8y3nv5+eH3Tv28GUtRR04trCFz9fMf+CS/K17SdSkQTPs3bUPMTExuOdzA5fW26PWoEp5ei6qe9Gi+pecuje1NPp7AMuyD9y9cw+eHzxx4thJGBiWzvC4lrY29h1M/bL5Gy0tTWFraPpW2LCwUJQrb5npPtraqb+EBwzqj7btU/vNVnRyxIP7D3Hk0LEsA9imLRujToNav44RGoa5UxfByEwf2jraKCzsDU1f0aTwUN2LZ90vW7EUSclJkIIUWldph9pdqkBKOhed7SUcnfe5ZYRRY0di6aJl+Bnji3sP7qJu76owss34XUd1X/TRuS+ZdZ9lACsnL4caNavzW2b+lv4qPTaFH+tz9OKFO5o0bczXhYeF45PXZwwYNCDTfcpblYe8grww+E0f2EZHR2V5LCVlJX4jhIiPF8/dceniJb5srWOPTuPaUPBKCly//n2xf89++Pr64aGvK65vq4a+azvRuUeIuPeBnT1vVr4cpGSpkmjQsD42rd/EA2IVFRWsXrWWB8FNmzcRbsf6upY1L8uTTbPjt2vflueObdCoAd/2+bMXcHN7giXLFudLuQghRSPrwNyZ8/iynLQ8OjXpAmN7A1EXi0gARSVFTJo6EWNHjUdEQhiuP3JBlTuOsK5rIeqiEUL+IkcdW91fvOTdCM6eOSccXJVbS1cugZKSMpzsK6GirTOuXb2Gbbu2ZGjJ/fr1G/z8UkcfMyyAZpf9qzpVR82qtdGzay8MGzEU7Tu2y1MZCCFFz9XLV+Hu7s6XnUpVRcuRjURdJCJBWrdtDVs7W7789OcDuOy4jaSEJFEXixDyL4O4AgICMWr4aDx++DjD+vYd22PJ8kV8EFZO6ejo4MiJQwj4GYC4uDieQuv3gWFbtm/KkPFAWVkZW7Zv5v1x2UxgpQ1KQ1b2r5OHEULEBMtysmDOIr6sKqeGHl27Q9ek8PqqE8K+h6bPmoauHbshPjkOtzyuo/r5yqjcgWZ8JERsW2BnTJ3J+6oeOnoAHh9e4fnrp9iweT3u3rmLTRs25+mAbBAXS4eVWVYDE1MTlNIv9cd6LW0tvg8Fr4QUL+yHqYZ06oDN6kZ1Ua9vDVEXiUjoFLONmzSCvXFF2Ok54dHR54iNiBN1sQgh2ZDNrmXk1o1buHXvJgwNf/VHa9m6BR9ctXrFGowdPya75yaEkGyFf45GXZ3mKK/ogDb9mkNVR4VqjIjEpm0b4f8+EIcnn0N8dAIeHnmO+oMzH8RMCCnCLbAx0TG8xdPA4M+UImXLlkV4GE0QQAj5t/yBrrtTZ+IzMyiLqp0cqTqJyLDvOza9rHlVU37/xcU3CPULp3eEEHELYDU0NXh/1Ns3b//xGJtQwMQ09R85IYTkVlBQENzOuyPoWyi/X6OHM+SVc96nnpCCUqdfFcSnxOG57yPc2ZNx/AchRAy6ELC8rWwSgWGDR6BTl46wtbdFYkIin0jg8sXL2LZza+GWlBBSbMycOht3rt9F5ZI1UdO+DuyalBd1kQjhfIK9cchzB2LioqFyXg2V2tmjdPmSVDuEFDHZDukfOWYENLU0sXXzNhzYd5APvLKwtMCO3dtQv2H9wislIaTYePb0OS5fusyXA2N/onbfKpCWyftU1YTkJ8ty5aCprYEY32g89GOTG9RCr5XteaMOIURMAlj2D7ZXn578FhcbBxlZGcjJyRVe6QghxW7SgvmzFwgnLWhTpx3Mq5qIuliECCkqKmDy9EkYM2IsIhPCceXuJVS6Yw+rOuZUS4QUIdK5mbGEgldCyL+4dOHyr0kLSlZFyxGNqWWLFDmtWreEXdrkBv4PcHHTdSTEJIi6WISQrFpgQ0JC0LFtZ+joaGPrzi18OStsm+Onj2X5OCGEpBcdHS2cMpZNWtCpXWfolytBlUSKHNZdbsac6ejcvisSUuJx4+1lOB2yR72B1URdNEJIZgEsyzrQvEUzqKiqCJezwrYhhJCcWrtqHQICA/hyLeOGaNC/JlUeKbIqV6mMNm1b8ynU34W8xoWDl2HTsBz0TGmmOEKKXACroqKCCZP/E95Pv0wIIXnl+cETO7fv4svGamXQuU9HaOqrU4WSIo1NMXvj2k1ERUfhtvdVOG50RI9lbanbCyFFuQ8sm+Jx8cIluX6MEEJ+d//uAz5xgYyUDJrZtkaN7s5USaTIY1Of/zd5PO9SYKhmgu8eP/D21kdRF4sQkl0AGxsbh5PHT2X52KkTp6kCCSE5UlbWCp0se6OOYWO0H9MK8kqUzYSIB5aF58LlC2jh1A6y0nK4vfMR4qLiRV0sQiRenpIvfv/mDS0tLYmvPELI3wV/D8WT06+gp1wKTRs2h2WNMlRtRKymmLW2KY8GQ6rz+zFhsbh/4Kmoi0WIxPsjD2xoSCi6dOyGpKQkhIWGoXH9phkeZ+t//PiBHj27S3zlEUKyFxERgeub7yMlKQXSstJoOLQG9R8kYqlsZROYVzXFc9eXuHr8BmwalUPJsrqiLhYhEuuPAFZeQR71G9ZDbEwsjh89wZczPC4vj7LmZdGiZfPCLCchRMx4vPZA53ZdYa9ZGfZ6zqja3hHahpqiLhYheeav/hWHP+yAmpw6Kqy3Ru9VHSAlTTN0EVIkAliWiWDKtMk8Z2Mp/VIYNmKoSApGCBFfKSkpmDZpBmJiY/Ak/j4qmjujShdHUReLkH+ipaeJpJQkhMaH4PK9i6h4wwa2jcpTrRJSlPrAskC2U5eOuO5y44+pINkALtaVgBBCMnPk0FG8evWKL1cqWR1tRjeDvCIN3CLirXPXTnBwdODLT/3v49ymq4iNjBN1sQiRSNkO4pozcx7i4jL+45SSksLHjx+xY9vOgi4bIUQMsRn9li5cxpe1FHTQpmk7WFQzFXWxCPlnLJ3WgiXz+d8kQRKuf7iEe/ueUM0SUpQC2ISEBLjeuo3GTRv98Vir1q1w6cKlgi4bIUQMLVm4DOER4Xy5rkkTNBlehwZukWLDxqYCevftxZe/hH/EmSPnEeIdJupiESJxsgxg4+Pjeb5X1uL6u5SUZISG0j9YQkhGHh4eOHbkGF+20LJGh/5toFVag6qJFCvjJ46Djo4OX77rcw2Pj7lDkCIQdbEIkShZBrBqamoobVAap078OZnB0cPHYF3BqqDLRggRI6xf/KrVq/iyvLQ8mtm3QpXONHCLFD/q6uqYMXs6X45ICMeNp1fx8uo7UReLEMnOQpDe8JHDMG3yDDx/9gJOzhURH5+A2zdvw/X2HRw/ndrKQgghzNs3b/Hd25svV9avhdajm0BOIduPGELEVtv2bXDk4BE8f/oCijKKcN35CGWcjKBRQk3URSNEImT77dK1exckJydj0/pNvNWVsbK2wu79O+FYMXUkJiGEMKXUDdCt3AC8DHiKNs3awLwKDdwixRfrXrds1VIEfQ3DzRWPkBCbiCtrXNF5QQvKDUtIIfhr80iPXt35LTw8ArKyMjy9FiGEpMf6/13ffA9qchqoW6YxGg2rTRVEij0TUxN+83n6E563vsD75Q+4X3oLx5YVRF00QiQ7jVZ6GhrqFLwSQpDZ9NPPz3vgxxt/fr9yJwdollKnmiISw6aZJXSMNOEX7YNzm64g1C81CwchREQtsCyVFsv3eu3qdfj6+vLuBGl0dXVw5frlAiwaIaSo+/7dB80aNIeFmjUqlagJXQNtVOlEA7eIZJGRk8FXtXc49fEgDFSNUXaVGbovaQNpmRy3ERFCcinbf13Ll6zAoQOHUblKJURHRaNP396wsLBAcFAwWrZqmdtjEUKKETZd7KTxkxEVHQV3/ycISwhGpe52kJWTEXXRCCl0qtqp3et+RHnjqutlPDvnQe8CIaIKYI8eOYbd+3ZiwOABUFRSxKixI3H4+EH06dcbfn5+BVkuQkgRd3DfQTx88JAvO5aojLYDWkLLkHK+Esk0ZvxoWFha8OWHfq44v/Uqgr+HirpYhEheABseFg6BQMD/QcrLySE2Jlb4WPee3fDo4ePCKiMhpIjx/uaNRQuW8GUtRR20qNEGVTpTZhIiuRQUFLBq7QrIyMggKSUR1z6fx8WVN5GSnCLqohEiYTNxJSTwf5CMppYmEpMSERAQKOwbm5iYWHilJIQUqa4DE8dPQmxsLKQghcZlWqLNxMaQkaWuA0Sy2drZ8vzpDBvQ5fLgCtxOuIu6WIQUSznuYV6zZg3+pXXs6HHMmDoL9g52BVsyQkiRtH/vATx+5MaXK5asig7D2kDXRFvUxSKkSGBd7cpblefLj3xdcXHXNQR8CRZ1sQiRpKlkVTFp6kTh/bkL5iAqMgozp82CvLwcpk6fUlhlJIQUEV+/fMXi/3cd0FbURes67eDcln7MEpJGXl4eK9YsT+1KIEjC9S8XcHHlDSQn/sriQwgpwACW/eMra2YmvG9kbISTZ4/jw6d3OHbqKEoblM6HwxNCxInPd1/ICGRTuw6Yt0brCY0oVRAhv7GxqYCRY0ZAXVUd9nqVEPQlFA+PPqd6IqQwAtjIyEgMGZTal4cQQpiUzzLoYtEPjU1bo/OIttAyoKwDhGRmxKjhuHH3GmpXr8PvPzr6Av4fU8eREEIKMIDV0NDgmQfiYuPy4TCEEHHn+/4n3E6+hJKsMurXrk/TZRLyl64EeiX00GxcXcgpyPLpli+tuoXE+CSqN0IKMoCVlZVFpy4dsWjBYsTHx+fHsQghYojNwHf7hiv/8mVfwnJKcmg6ti6kpKVEXTRCijyt0hqo3b8KPod5wvX5Ldzc9kDURSKkeE8ly+Y3f3D/ITw/eOL0ydMwNDKCbLo0OVra2th3cE9hlZMQIiJbN2/DssXLYaFphbpGTdB4YG1olFSj94OQHLrreROXv56GjJQMSp0uDSNbfVjXTZ30gBCSzwGsnLwcatSszm+ZUVOjLzBCirunT55i5dJVfDk0PgTmzmVg1yQ1RRAhJGeaNGuMDes28vzpV7+ehc4aXZQy14O2oSZVISH5EcBGRERgxdKVmLdwLu+/06hJI1SvUS2vz00IEWPsKszIIaOQnJIMOWl5tLLqgOZj60NKiroOEJIbLC/szDnTMWv6HITFh+C61yXoLtJBr1XtIKcoR5VJyL/2gWW/Di9duMSXw8LCMXrEmLw8JyFEzLFppP8bOwH+P3/y+6zrQNfJ7aGmqyLqohEilnr16YXmLZrxZc/QN7j73BU3tlJ/WELypQVWS0sLUVHReOL2BNraOuxbDOHhEZnuKC0tRd0ICCmmdmzdiZs3bvFlax17dO3TGeVq/soLTQjJHXblYsmKxXj92gPfvb/jrs81lDyrz/vDVqhvSdVJyL8EsNLS0ug7oA86tesiXGdv7ZDpjrp6unjqnjqdJCGk+Hj+7AWWLFrKl3UU9dCxTlfU7V9V1MUiROypq6tj45b16NCmIxITk1L7w67VQUlzPegaa4m6eISI9yCuKdMmo0vXzvB4/QYzps3E2g1rMt2R9ZElhBQvSUlJGDdqPE+dJSsth1ZWHdFhRnPIyP3KQEIIyTs7eztMmzkNc2fN4/1hvwZ/xrnF19BzdTvIU39YQv4tC0EZszI8AXOPnt1Rt17qLCKEkOJPWkoaLa07YL/fLlQuVQM9Z3SilFmE5LO+/fvg86fPsNCyws/bEQj2DsWNzffQbFw9qmtC/jWNlqqqKiZNnZjT5yGEFAP3DzwF/OTQrXx/VO3gBPOqpqIuEiHFsj/s/EXz+GDJM/Eu8Hr4FR7XPWFkUxo2jcqJuniEiPdMXIQQyZGQkIDPT73x6NgLft/Y2hC1+1YWdbEIKfaBbLMxdflVjuDYQFzacAuBX0NEXSxCxLsFlhAiGVimkdbN2sBMpjys1OyhrKGEVlMaQibdzHuEkIKhoCoPgW0Mjrvsg6WWFXQWa6HXmvaQV6L8sIQUqRbY+Ph4REZG5nq/uNg4BAQEIi4uvkDKRYgkYpcwJ46biG/fvuHW56vwifqK5v/Vg7qeqqiLRojEePLKDcmCJLwLeY2Hr+7j6jpX/m+TEFIEAlgWtI4YMhI25ezgZFcJLZq0wru373K0L5tgoUunbqjsWAWXL14u8LISIin27t4Hl6vX+HJ5LRt0HNAOZs7Goi4WIRLVjWDFqmUobVCa37/tcxUPXdzw4PAzUReNEPEMYGNiYnD3zt18+xU4fcoMeHp+xL1Hd/DqrTufWq9/74GIjY39677Ll6xAWTNKok5Ifnr08DEWzF3Il7UUdNCtSS/U7FmJKpmQQqappYkNm9dDVlYWSSmJuPzlFG7tvY93rl70XhCSlwC2V7c+qFezPrZv2YGw0DDkVXBwMC6cu4jRY0ehZKmSUFRSxLSZUxAQEACXKy7Z7nv7liuuXb2G2fNn5/n4hJCMvn39hiEDhvK8ryzfaxvbzugwrTmkZWhcJyGiUNHJEVOmT+bLofEhuPrtLC6uugnf96nTORNCMsry20pXVxcuN6+gTr06WLdmHao4V8P4MRPw4rk7cuvVy9dISUlBpcrOwnU6OjowK2sG9xcvs9yP9XmdPGEKVq5dCRUV5VwflxDyp4iICPTvPQDh4eH8fhPT1ug7pxtUdVSouggRoQGD+qNTl458+XvkV7h+vYbT868iPCD340YIKe6ybW6xLGeJuQvm4PHzR5gzbzY+vP+Adq3a8/6rhw8e4a20ORESnJoWREs741R52jravHU2MyzgHTdqHLr37MZ/meZUbEwsP17a7V9ajgkpbliXoFHDxuDTp8/8frXSdTFgYh+YOhqKumiESDzWH3bB4vmoXCW1K8/roGfw8vHEqblXkBCTIPH1Q0iu02gpKyujW4+u/LZl01YsW7wcUydNw6IFi/kvxhGjhkNOTi7bf5QMm54yveSkJMhIZ56qZ9eO3QgKCuLT2rKW2JT/7xsZGYHQkNA/guE0Vy644Mzx83+s//7ZDxHB0SgsKckp+Or5vdCOR6jucxrAGsmYQVbqPsy1yqNj247QKqeeb+cqnfeiQ3VffOp+2pQZGDlqBGpY14FugCGCvobg2OyLqDHACVLSqd+npODqnxTduje1NMpdAMsuOZ4+eQYH9h3EJ69PfHrZHr26w8vrE7Zv3QF/P38sWb44y/1LlSrJ/wYFBsHY5NcIZ3bfqZJTpvv4+PxAcHAIWjZrnWH98qUrcfWyCw4ePZDpfk1bNkadBrWE91kL7Nypi2Bkps9bfAsLe0PTVzQpPFT3WXt87AU0gkugo2Vv2Fe1QbspTfO13yvVvehQ3RenujfCjTvXIC8vj4vLb/LBXH5vA/D13g/UG1gtH49TPNC5L5l1n20A6/HaAwf3H8LZ0+f4P6TOXTth194dMDJOLWyDRg1QvUY1DB00PNuD2DvaQ0FRAXfv3OOBL+P9zRtfv35DlSq/ZvthLassebq6ujrmzJvFb2nYYBNzE0vMWzAX7Tq0zfJYSspK/EYIyZiK7rPbd9zZ6ybsHtR+ejMatEVIEaWgoMD/Nh1bB+E/I+H5ygv3jj+GtqEm7Jtaibp4hIhclgFsYGAgWjZtDVs7G8xZMBut27SGomLqP6j0jI2N4eBgn+1BVFRU0G9AX6xavhoGhgbQ1dPF3Jlz+XPXrV9XuF33Lj1hXcEaK9cs/9fXRQj5v8+fPqNX1z6opF4bBorGUNZQRPvZTaGg8ue/Z0JI0SIrLwvztqWx+NRsaMhrQ2GjIjT11WFibyDqohFSNANYVVVVnDp38q8DqDQ0NbBx64a/Hmji5AlQVVHFovmLee7XKlUr85Qh0tK/Ll9qa2tBTV0ty360LPDNLIgmhGQuPCwc/XsNwA/fH/DzO4Y+tkPRfUYbaJZSpyojRExcdrmMqIRIfnP95gKFBfJ8ulltA01RF42QohfAKikp5Wr0/9/IyMhg5JgR/JaVrPq1pu3/1D318ichJGfdBlj3nq/fvvH71fTroNOk1jCwLkXVR4gYmT5rGt6/+4BHDx/hTbA7tL/pQmWOMrqvaANlDeoyRySTbHZffu4vss75qqioCNMyplBTy7zFlBAiWnNnzcPDBw/5srWOPYaOHgzrehb0thAiZliWn83bNvI0lmzsyL0fN6ChoAW5mXLosqglFFXpyiSRPFkGsKGhYejUrkv2O8vKolOXTliweB5vISWEFA07tu7gWUMYA1VjDOo6hKaJJUSMsdSRO/bu4EFsZEQkXL6ehbKsCk7NlUXH+c0hr5h1KktCJGwmLh1MmjoRpqYmWLthNa67XsPlaxcxZ/5saGpqYu3GNVi6YgmuXXXB/r1ZX/onhBSuo4ePYsG8RXxZXV4TfRoNRMv/GgrzMRNCxJO5eVls2rqBNxglpCTg/OdjePP8Lc4scEFSYsY864RIbAss+7LbtX0Xjp8+hjJmZYTrrayt+DSwx44cw/7D+yAjI43Dh46ib/8+hVVmQkgWXr96jakTp/NlZVlVdK/UDz3mt4ecQo5SPhNCirhatWth2cql+G/sBMQmxeBFoBs0X2jj/NLraDO1EaXGIxJDOrvRyzExsRmC1zQ2thV4ah7GwdEBfr5+BVtKQkiOyEUow6FEZSjIKKKzQy8MWtkTKlrKVHuEFCMdOrXHvIVz0LpNK/RtO4Cv83r4FZdX34YgRSDq4hEi2gBWWUUZySnJcHv858j/mzduCWe18vPzh4mpScGWkhDyV5+fePNZe1i2gT4Vh2L46v7QMcp8ymVCiHjr3bc378rXbnpTGNmW5uve3vqI65vv8SmjCSnusryuyGbe6t6jGwb0HcRnz2ITDCQlJvGA9uTxU1i8LLWP3YG9B9C9R9fCLDMhJJ23b94hMTgFN1c/REpSCuSU5NBjQVuUMNOheiKkGGNd/Vj3oPazmuDA5NM4f+80Es4nQF5ZHnX6VRF18QgpUNl2jJsxezqfOWv3jt3YsnEr7zhublEWa9avRotWzfmvvFlzZ6JkqZIFW0pCSKa8Pnqhe6cekIqXRiuzLtBS1UL7WU1Rujz9myREUiQKEnHx23G8CHiOwJifkD4mDQUVeVTtnH+53AkRmwA2Ojoa+/bsx7ARQzFw8AA+exZLm8Xy0aX/9UfBKyGi8d37O7p17IGw8DB+PzDeH30XdYGxXerlREKIZGB52UsblsazZ8/hE/UNLt/OQXqPNOSV5FCxlY2oi0dI4faBTUxIxPYtOzLMzJU+eCWEiE7AzwB069QDgUGB/H5doyYYu2gEzCoZ09tCiIRhV0dXrV2J+g3q8ftfwj/ipvcl3h/21dX3oi4eIYUbwGpoavAWVn8//4I5MiEkT0JDQnnw6uPjw+9X06+LCQvGolxNM6pRQiQUa2DatHUjqlaryu9/CH2Duz+u48ra23h27rWoi0dI4QWwzNDhQzB8yEg8cXuCkJAQhIdHCG+RkZH5XxpCSLbCQsPQs2tvfPr0id93KlkNk+b8B5uG5ajmCJFwikqK2LFnG+wd7Pj910HP8dDvNm5suY+HR55TdgIiGX1gAwODsHB+aqaBzKaU1dXTxVP3P1NsEUIKRlBQEO/z+vHjR37fVrciJk6dAMeWFajKCSGcqqoq9uzfjS4du8HzgydeBLhBXloBUvulEB8djzr9q9KsfKR4B7AaGurYuWd7ljsqKCgUVJkIIZmID09ETEAcX66g44CJ4yeiaicaZUwIyUhLWwsHjuxHr269EBEeicpW1ZASAjw59QoJsYloOKwmzdhFim8AywLUBo0aFG5pCCGZCvwagrOzr6OpUXt8UPXAkFGDULNnJaotQkimSpTQw9ETRxAeHg5dDT0cn3kJgV+C8fLyOyTEJKLZ+LqQkZWh2iNiK9s+sAzr+7pm1VoMHTQMA/oMREpKCvbu3oekpKTCKSEhEsz7mze83/zAkcnnEB0aA0VZRYydOgq1elWmy4CEkGxpamnymTLZdNJdF7fi+aHfh3jg1a13OLvwGpIS6HucFNMA9tHDx6hdrS4unLsIKUjh5ctXkJaWxvt373H65JnCKyUhEuil+0u0bNIaQ7oPR2xkHKSkpdB0TB04t0sdoEEIITmlqKaAMGNf3PC+iPOfjuHtQ0+cnH0ZCTEJVImk+AWw0yZP55kIrt26irkL5wrXt2zVAsePHi+M8hEikdiPx64duiMiMgLvgzwQEO+HVpMbwrZxeVEXjRAihtjV07dv3/Jlv2gfnPU6gg/PvXBsxkX+A5mQYhPAslRZP378wNARQ/64VGlsYgyf76k5KAkh+evWzdvo3a0PYuNiIQ1pNDVvixHLBlKeV0JInrGrp2s3rkHHzh34/cBYf5z2OgQvj884MuU8IoOiqHZJ8QhgFeTlkZSYhJiYmExTbKlraBR02QiROBfPX8KgvoORkJgAGSlZtLbqjOmbJ6KMk5Goi0YIEXNsOvhlK5eib/8+/H5oXDBOfTyIzx++YP/Y0/D7ECDqIhLy7wEsS4hsZ2+H6VNmIDo6OsNjB/YdRM1aNXJ+FELIXx3cfxAjh41GUnIS5KTl0dGuB6ZuHQ9D61JUe4SQfGuJnT1vFkaOHsHvRySE4ZTXAXzz/YojU87h/R0vqmki3mm0mBmzp6Nn116o4VoL1hWsEBUZhQ5tOsHf3x/nLtEgLkLyy/q1G7By2Sq+rCCjiC5OvTF2w1BoG2hSJRNC8hXrFjhh8n9QUVXB0kXLEJ0YhXOfjqKX1RCcX3oDwT5hqN7NiTKdEPEdxOXkXBHnr5xDsxZNeStseavyqOjkiLMXT0NHR6fwSklIMRYXGY+U93K81VVNXgN9awzBhK0jKHglhBSoYSOGYtmqpZCXl8f0adOhoZPaNfDBwWe4sOwGEuMpzRYR0xZYxty8LBYvS51SlhCSv0J8wnBq7hUk+AItzTqigoMVus9rD2UNJapqQkiB69ylE2rVqgn90vqIaBeJU/Ou8gkP3rl6Idw/Em1nNoaqtgq9E0T8JjIghOS/p0+eYu3CjTgw/jRCfcP5uqYdGqHfiq4UvBJCChULXhn1EmrovrwNkg1ieJeCL2+/4cC40/j5KYjeESJ+LbA3rt3A82cvEBkZmWG9qqoqJk2dWJBlI6RYOnXiNCb9N5nPZte8TAeYaVmg3qBqqNjKhvqcEUJEyj/ADwfv7kFkVCSOe+5Dy6SOODzpLFpMaACLaqb07hDxCGAXzluEndt3wbKcBQ9Y09PU0iroshFS7BKJr1i6Eps2bOb3ZaVkIaMgjQ5zmlGaLEJIkWmNbdO2Nc82xDIUnPi4H01N2+LMwiTU7FkJVTs78lkBCSmyASz7st23dz8OHN6H6jWrF26pCClmYmNjMXbEOFy96sLvq8ipokvl3hixcgB0jOjHICGkaJCTk8P8RfNgbmGOebPnIyE5nk89W9uwEbAf+O7hhxYT6kNFk/rpkyLaB5Z94crLyVHwSsg/8v7mjXYtOgiDVz2lkhjTZiIm7hxJwSshpEim2WKTHezat5NffRVAAFcfF7h+d8GnZ1+xd9QJeL/yFXUxiYTLMoBVUVGBuro6AgICC7dEhBQjLlevoWmD5nj/4T2/b6ZhiVkj5mPAyu5QUlMUdfEIISRLdevVwalzJ2BknDoToEfwCz5zV0RQJI5Nv4AHh54hJTmFapAUrQBWIBCg/6D+GDNiLDw83iA8PCLD7fdBXYSQjBLjEuF+4S1iYmMgBSlU0a+FZUuWodW4hpCRlaHqIoQUeZblLHHmwinUrlub32/UvCGUVJUgSBHg/sGnOD7zEqJC/pxynhCR9YENDAzC/DkL+HLLJq3+eFxXTxdP3d0KtnSEiKnAryE4v/Q6pLwVUVW/DsxKl8XwxQNgWCE1XQ0hhIgLNnHRnv27cPrkGbRt3waRAdH8883/YyC+ufvwLgUtJzWAib2BqItKJEiWAayGhjp27tme5Y4KCgoFVSZCxNaF8xfh89ofsU8ESEpI5uu6tO6CpuPqUpcBQojYkpaWRodO7fmypr46ui1vgyPLTmHj3vWob9yMdymo1rUin4JWWoZSzBMRBrAsQG3QqEEhFIEQ8RcXF4+5M+fi8KEjkJeWR+dyfaGtooM6A6pSfldCSLGTlJSIA7d2wS/aB8c+7EU9oybAYcDHwx/NxteFRgk1UReRFHN//ZkUEhKCNavWYuigYRjQZyBPr7V39z6ehJ0QAnz5/AWtmrThwSsjJyMPWS1p9FjZFk6tbWlyAkJIsSOvII827dpARkYGiSkJcPl2Hre+X8GXl9+wZ/hxvLz8lo+lIUQkAeyjh49Ru1pdXDh3kQ9CefnyFb+M8P7de94XhhBJxj6cjx89jmYNW+CjlydfZ6xWBjP6zcPUvWNR0lxP1EUkhJACwWKBYSOG4ujJw9DXT+3b/zb4JU547odvyA+4bLiL4zMuIjyABnwTEQSw0yZPx9DhQ3Dt1lXMXThXuL5lqxb8i5sQSeXv549eXfpg4vjJiIuP4z/wqhvVw/o169F1VhsoKMuLuoiEEFLgnCs546LLedRvUI/fD44LxHHPvXDzv4fPL7ypNZYUfgDLUmX9+PEDQ0cM+eMSqLGJMXy++xRcqQgpwqKjotGkXjPcu3+P31eX10TfmkOw7tgK2De1pi4DhBCJoq2tjR17tmPG7OlQUFRAiiAFT/zv42uEFxJiE6k1lhRuAKsgL4+kxCTExMRkmmJLXUOjYEpESBEW+iMc5+ZdR3kVO37fXs8ZK6asxrR946FrTFPCEkIkE+tSMHDwAFy6ehFOzk6oU68OZmybCG1DTf74N/cf2D38ONypbywp6CwEikqKsLO3w/QpM7Bk+eIMjx3YdxA1a9XIrzIQUuT7ur598w4xnom4t/8JT4/lWLIKbC3tMGBuL+hblhB1EQkhpEgoa26GY6eOICoqmqfj7L2uA5/w4Pz+S5CJkcW1DXfhee8zGo+qDc1S6qIuLimOASzDLgf07NoLNVxrwbqCFaIio9ChTSf4+/vj3CUaxEUko6/rf6Mn4tGjR+ho0Ru6SiV4jsNqnSqiateKkJWjGbUIISQ9lpmABa+MnIIsnDvbYMqG8QgICIBTyWpIfl4Nu4cdQ5VOjqjc0R6y8tmGIoTkfhCXk3NFnL9yDs1aNEV0dDTKW5VHRSdHnL14ms/MQUhxxdLFHT54BPVrNsT9B/eRnJKMp/73UcJMBz1Xt0PNXpUoeCWEkBx4+eIlQsNDhX1jT3zcB9+wH7xldtew4/B6/JXqkeTaX3/2mJuXxeJli3L/zISIKY/XHpgyfho83noI19mXcMbYsWNRu0cVyMhSqyshhORUjVo1cNnlIs/a8uzpMwTFBuCE5z5Y69ijalJtnJ53FWaVjFF/cHVolabxNSRnqN2ekP8LDQnF4vlLcfzYcQiQmoBbQ0ELHat3w9AF/aFnqk11RQgheWBWNrVv7O6de7By2SrExsbiTbA7PoV/QJVStZHiloJvL3xQqYM9qnR2hLyiHNUzyRZNWEwIgMT4RLRs2AbHjh3jwaustBxqGNfHliXbMH3veApeCSEkH/rGskwFN1yvoUWrFnxdXFIsXH2uIjg+AMlJKXh09AV2DT2GD/c/00xeJFsUwBKJ9/mpN/aOOglLeVteF+aa5TF30GJsu7QO1To78UFbhBBC8kdpg9LYuGU9Dh09AAtLC7Tv0A6Td4+Gsb0BfzwyMArnFl3DsekX8fNTEFU7yRR1ISASKTAwEKcOn4FeqCE+uXnzdVbatrCwMEe/GT2gX45SYxFCSEGqXrM6Lrlc4N0J1NXV0XlhC3je/4K1czciIjwCKe4p2Df6B8rXLssHzlL/WJIeBbBEorAPyl1bd2PDuo2IjY9F67JdYKRmCmVNJdTuWxk2DcpBSjrjzHOEEEIKhpycHL8xbNZPXSsN3PO5gYiICLwLeYWqpepA4Crgga1dk/Ko1s0JqtrK9HaQrANYljbL94cvb97PzNnTZ9GmXZtcVSGb1evRg0eIiYnlKbr0S+v/dZ+vX77i/bv3/NeZQ0UHKCvTiUtyLzExEUcPHsWqZWsQEh4iXO8f8wPterdG9W4VoaCiQFVLCCEiHkxrYGiAiLcRCI4NxMUvJ6CvasgD2ZRLKXhzwxNObW1RuYM9fWZLuCw790VHx6BNi3Y4fTLjhAVRUVEYMXQUFi9YmqsDsSC0To16WLFsFY4ePor6tRvi2JFj2V7i7dW9D/r16o8zp89i0YIlqF2tDh7ce5Cr4xLJxvK5njt9HrUr18OM6bOEwWsp5dIY3mwsNp9ai3oDq9EHISGEFAHmFua4cOUcFiyeD109Xb7OL8oHp70O4uLnE/AP8+MDvbYNOAy3ky+RGJ8k6iKTotYCq6eni5FjRmDCuIlwe/wEc+bPwudPnzFiyEgkJSdjx55tuTrQxPGT+CQIW7Zv5pcJ9u/ZjxnTZqF2ndoopV/qj+3j4uIxaMhA1K5TS7huxtSZGD1yLJ68eMyfg5Ds/PD5gd5d+uHTVy/hOm1FXTSt2BIDp/RFmYpGdB4RQkgRzFbQs3cPtO/YDrt37MaWzdsQGRGJrxGf8C3iM2oZNoQtKsJ11yM8P/caFnVNYWiqTzN6SZgsW2BZgDh85DAcPHoA169dR8umrdGuVQeUtTDH+cvnYGNrk+ODsMD39SsP9O3fVxgwdOraGXKycrhy+Wqm+xgZGWYIXpkGDesjKDAIwcHBOX+FROIIBAKeWeDqkvsI8ks9V9Tk1NHaoRMO7DmIhcdmwszJmIJXQggpwliXwRGjR+DuA1cMGT4YCooKPCvMkNn9oG+ZOtA2Migaz0+84S2yT069REJsoqiLTYrKIC4HB3tUrlwJFy9cgpKSEg9q0+Y4zinPD578r2W5X/1pFRUVYGJqgg/vUx/LCdfbd6BXQg+6uqmXFTITGxPLB+qkCQsNy1VZifhyf/ES/p8C4Hc7FEFfQvm6GqXrI0E+FiMmDIF9kwqUEosQQsSMppYmpk6fgn79++LRw0eo0bwqqjcT4OPDr7ix+y5uPLsK20Qn3N75CI+OvYBTa1s4tqoAJTVFURediCqA/fL5C4YNHoHwsHCer+3kidPo3L4LpkyfjAGD+uf4IBGRkfwvG4iVnqamBiL//9jf3Lp5G/v3HsCK1cuz3e7KBRecOX7+j/XfP/shIjgahSUlOQVfPb8X2vEkubX1+fPn2LV9N958eI2SyqXRwaInb11VUJVHu3atYVbdiE//6v3ph6iLW+zReU91L4novC88DjZOwu9WeV1Z+Gp/xtOfD+Ee+ARW2nZwKFEZ9w8+xeMTL1C2ugks65aBojoN0C0u576ppdHfA9jw8Ai0atYGjk6OOHTsALS1tXnOtspVnDFrxhy8evkKazesydEBFRVTfwWx7AMaGnIZMh2whMZ/4/bYDcMHj8CYcaPRrkPbbLdt2rIx6jSolaEFdu7URTAy04e2TuFNBcre0PQVTfJ/cNb1q9excvEafPj0Xrg+OC4QsVLRaNK7Hiq2saXpCAsZnfeiQ3VPdS+JDRhhkakDc5NSkvA66DmfntZS0xqOJasg6VYyvO59g23jcqjcwQEaJdVEXeRi56sIY50sA9jExAQMGNyfB43S0r+6ynbp1gW2dnaYM3NOjg9iYmLM//p894GGhrXwxPvxwxcNGzXMdt8nbk/Qr9cADB42CKPHjfrrsZSUlfiNFE9JSUk4c/Ic1q1YD2/fb8L1CjKKcDKsgv6D+8PE0QAW9mYiLSchhJCCxa60rd+0Dm1atsPZC6dx8fwl3rjxPtQDH0LfoIyGBZxKVkXyxWS8vPwOFtXKwKm1DQwqlKIxEMV5EBfrZzruv7EZgtc01hWssO/QvhwfhA34KlGyBC6cvyBcx9JhsQFZ9RvWF6675nKdB6xpnj15hr49+/NAmpWFSLa4qHh0bdEDE8ZPEAavyrIqqG/ZFHvW7MPeW9vRsG8tyCn9auUnhBBSvJmbm/NA9obrNXTt3oVPjCCAAJ/DPXHK6yBik2MgSGGTIXzG4cnnsG/0Sby+9h5JCZSCq9jPxMUu9fv5+iE5OfnXjrJyKGtuluOUGHPmzcLoEWMRFxvHc7ux1BjdenRFBZvUFllm1fLVsK5gjUqVK/H+t3179YNpGVMYGRnh+NETwu0aNW7IO3WT4i8hIQHRgbF4cfENXru8h3Zk6uQX6vIaqG1dH4PGDIBtg/I0OIsQQiRcGbMyWLJ8Mb9yvGPbThw6cBit2rTEqAn98eK8B167fOBjcn54+SNgTTBcdz2GfVMrOLSwhpquqqiLT/IzgGVBK8sDez+TyQNYEPrU3S3HB2resjmfXePCuYv8eWfPm42WrVtk2IYFpml9YuPj49G4aRO+/Ojh4wzbVa9ZjQLYYox1L3n04DE2r96Cjx8+oZ1RD+HlnrKa5dDNuA/6j+0F8ypl6DIQIYSQDNgsnzPnzMCI0cORlJgErZIaqD+4Bmr2rIT/hk7G9TsuKK9lB5sERzw6FofHJ9xRrqYZHFvZwMCqJH2vFIcAdub02Tx11o7d2/lEBDv37sDD+w+wcf1mzJg1LdcHs3ew57esjJ84Trhc3qo8Vq7JPuMAKV5Y+rMTh09ix5Zd+Pbjq3C9j9Y3GGuUgXlVUzi3tYVhhb9PQUwIIUSyscHn6SUhCbef3ERsYixeBDyGe6AbyqhbwFa3IlJcU/D+zifoldGGbePysK5nQWm4xDWAZa1g9+7cw8Mn95GYlAQZGWk+kxa7qWto4NLFK2jbPvuMAITkhI/PD2xdux2nTp1EdNyvVGfy0vKw0XdE3fY10LB7HaiXoBGkhBBC8oZlRNq4ZQP27tqLmzdupU56E+7JbzpKerDVqQjLZGsEfgmB685HsKhehgezJvYGkJKm2T/FJoANCQnhs2BoaWshKioKkVFRwsdq1a6JrZtzN5UsIb9jM6bMmTgfh08f5B3u02gpaKOGdR30GdYLjo1saHpAQggh/4wNSmczfLLbt6/fsG/Pfhw7epxPUxscG4jbPlfxIvgxelgORnJSaossu7H0WzYNy8GmUTmo61Ff2SIfwCYnpwgHxqiqqkJBQQFv37zjGQi+fPnKuxYQkltBQUGI80/E6+sf8OHuJ4T/jBUGr6Ya5mjZsBW6D++M0uVLUuUSQggpEGwmUNZPlnVdPHXiNPbu3gevj15o06UV+vTrgFcu7/HutheCQoMQ4xON8IORuH/oKcpUNIJto3IoW8WEGlfEIQsB07ZdG/TvPQBVqlWG66076NqjS8GWjBQbbCa3oweO49C+wwgODkbPckMgLZX648hY3Qx1LBqifed2aNi9LlQ06YcRIYSQwqGiooJefXqiZ+8efMB4qVIlUdJMD43M9VB3QDUM7zsSN+5eh6m6Oay0bZHyNAVfnn2HvLI8LKqZwqquOe9ikNbgR4pAAKujo40Tp48J78+YPZ2P/Pd45YF+A/ti2IihhVVGIoYSExPhetMVB3Ycwr3H95CU/Cvf3vfILzDXK4dytcz4JRnDCkNp1CchhBCRYZluqlWvmmFdUkoi7j+9hxRBirCvrIq8Kiw1K8BSyxrx1+Px5oYnlDWVeBYDqzrmKE1ZDEQfwLLcrSwHaxp5eXmMn/ArSwAhmXF79AT7th3ALdebGQZkMTqKeqhqXQPd+nVEpaYO/BcsIYQQUhSxrpKnzp3geehPnzzDxwZFJ0TxDAbspqOkC3MNKzikVMKLC2/4jfWXLV+nLA9m9Ux1RP0SirUcdyEgJCspySnw8fDDuzufsG73Grz56S58TEFGAdal7NC2bVu07N0UOoZaVJGEEELEAkvpyfrKTp42CTeu3cCxI8dxx/Uun9gpODYIUHyLrjW64+uz70hKSEb4z0g8PubOb9qGmrCobsqnsC1loUdXGgszgGWXgY8ePobnz14gMjIyw2MaGupYsZrytEoilnrkw/sPOLzrKMJ9o2ApZYfo0Bj+WFlVS3wIfIOy2pZoUKsB2vZqDXNnU+ofRAghRGyxq9DNWjTjNzaW49L5Szh/7gLs7O3QbkYTxMck4OPDrzi57xSuProMC01rlE2yRIhPGA9m1XRVeC5zlprLyEafvhMLOoBls3C5XLkG58rOUFVRybijLDXeSpKUlBQ8efwUpw6dwa1btxAQ+pOvV5RRQimbMpCRkoGcoiwa1m6AQVX7wKq6JWTlZERdbEIIISRf6ejooFffXvzGvhsZBWV52DSwxNaTvvCN+s5vd364QF/FkE+WYBZvgcgL0bybgZK6IspWNuYtsyaOhpBToHgqL2Szm4P+0oXLuHztIswtzPP05ES8sUskN11u8aD13qN7iIyJyPC4FKSgp1IS+g46qNq8EsycjSCnKCey8hJCCCGFnVs2PVs7W7zxeIvPnz7zq5Vpwex935vQVS6BMmoWsEqwQ+z1OHhc9+TBq7F9aZRxNoaZszHvQ0v+MYBl3QdY7lcKXiVPVEg0Pj3+hg8PPmP2vimITUrtHsBIS8nAWMMUVRyqolXHlqjUxJH/8iSEEEIk3eChgzBoyEC8f/ceV6+48KvYb9+85Y8FxQTwW70GdZHsLYO4qHgkxifB6/E3fHLz5tvoGGuhjJMRzCoZw9C6FGToSmbuA1iWG83YxBgv3V/C3sE+62cgYo1d/mCp0c4fvwTXW65wMqgK7ZhSwsfLqJvDK+w9yupaokbVWmjdpQWsqlnSJQ9CCCEki5RcVtZW/DZ2/Bh8/+4DFxbMXr2G79+8MXRpPwhSBHzws8fdD5i4aixKKRnARN0MxgllEOwdiqenX0FOSQ6mDga8dbZMRUOaTv032Xa8WLR0IYYNGo5OXTvB0NDwjzmFW7Vpmd3upIgKCw2Dy4VruHzOBU9fPEFk7K+uAbKRCqhn3Iwva5XWwLCmw2FT2womNpSomRBCCMktIyNDDBjUn9/i4uJTux1IAyYOhvjw8x1iEqLxOSE1zyyjo6QHY7UyMFYzQ9z9OD44jNEsrc4nTWA3I7vSUNaQ7Il/sg1gr129Bl9fP6xdtY7nhU1PT0+PAlgxkhiXiEvHr2L9xvX49N1LOH1reqVUSsPC3BK1u1eBeRUTaBtpUtoPQgghJJ8oKipkuM8aB9ksYLdvucLnuw9fFxwbyG8vAtwgLyMPa2171DCojzDfCH57efkd366EmQ6MWUDrYADDCvqQV5KsMSjZ9oHdsX0nZs2diW49uvKEvkR8Bl+9fukB9wevYKFtBe+XvvB7/xM+Yd7w+v5RuJ2SrDLK6lmgauVqaNa2CWxrWtHkAoQQQkghsa5ghQWL5/MBX58+feZd+Vgw+/jRYyTEJyAhOQEOzSqgYc2a8H75A96vfOH54x2iE6MQmWCKgM/BvLsBm8pWv3wJGFXQh2GFUihtXarYj0/JMoCNj4+HrIws+g/sV7glIrnGTnzP9564cuYa7rneg8eH14hNiIWMlCwG2o6BrHTq21xCRR9G6qawNq+A+o3qoUHbutAx0qJWVkIIIUTE/WbNzcvyG+tqEBMTg0cPHsH19h207dAGDo4V4NiiAp84qHfXfrj34C7fT0NBCwaqxjBUNUaUuwl+vPFPfT5pKZQoowNDm1Iw4EGtPlQ0lSQjgFVVVYWKqgpP2MtynpGiJSE2AWuXbsDjB4/x1ustYuIzTtvKJAuSEBwfCEdHB56mw9iuNP6zGkwDsAghhJAiTFlZGfUb1ue39Fhg+jMoNUhlwuND+e1t8Et+X1NRG/rKhnAqWRWCTwL8/BSEZ2c9+GNsZjDWOmtgVYq31mobaPLnK3YBLGvV69q9C0YNG41ps6bByMgow+PS0lJQU6N8ZYWBzYL28M5jqEETcX6J+PHWHz+9gnD4zRGExAVl2FZTQRuWhuVQqVIVNGxRFxWqlqduAYQQQkgxaal1uXkFXz5/wYP7D/Hg3gM8fPAIoaGh/PGwuBB+GzZ8KBL8Uni8kBCbyANc3ZiSCPoegldX3/NtFVTkoV+uBL+VLl8S+pYl+CQLYh/ABgYGYd3q9Xy5ZZNWfzyuq6eLp+5uBVs6CU1rxboD3Lv+AE8ePsWb92/wI8CHD7qqa9QEFXQchNuWVmE/KqRQtrQ5HOztUb9pPTjWsYOiWsZO4oQQQggpPkGsWVkzfmMDwFjc8O7te7g9dsNTt6f4/v07Wg1twrdjXQ7ePf2Aje2X8n3lZORRQkkfJZX1UVKlNELCQvD1eergsbTsQ6x1lgW1pcz1oFdGp8hetc2yVBoa6ti5Z3uWO7JJDsi/Yy3d4T8jcXz/CZw+d4ZnCIhPjMt0W7+oH3AwrMR/KbEExx2tmsOgfCmJG3lICCGEkFQsLVcFG2t+6zegb8bHZKTxM9JPeD8xOQE/or7xWxo1eXUYqZVBPaOmCPUN57e3N1MHfLMuBromWjyYLclvujz7gay86INa2ewC1AaNGhRuaYo51p/4yb2ncLv/DFKx0rDWsYe/ZwBiwuPwKvAZ3v5I7aeSPkuAgaYRypuXR9XqVVGrWQ0YlSvNT0hCCCGEkL9h/WifvXqCJ25PeQut+wt3vH7tgfi4eP54ZEIEVEwVUK9/Nfh9CIDv+594//k9PoS8hp5yKehFloTfJz3IXkttLGMxCJsxrJS5LmTVZVHasKRIuiqKPoQupoKDg/D6+Cs8efAMbzw88OnbJ4RFp/ZRYUoolYJiOS3hfX0VA+irGaKsoTns7OxQrU4VONS0g5qOioheASGEEEKKAx0dHTRt1oTf0lKlfnj/AS+eu8P9BZtx1RbObe2E269YvBKnN7wCQl7x+1JS0tBW0IGecknoKZWCXnhJ+HqVgJysPGp3rSyS10QBbD778vw7jm86g02XV2e5jRSk2P9QoqwOSpdL7TjN+pssNZwl1iMCCSGEEFL0ycnJwcbWht969en5x+NKKorQ19eHn19q9wOBIAXBcYH89h6pV4urmtZCXctGIhsoTgFsPktOSEbir/7QkIY0dJT1YFzSBOXLlYeDswMq13aGoaU+ZOQyzm5GCCGEECJqI0aP4LegoCB4vH6DN689+F/W9SBtxrCekzujfBlrkZWRAth8xjo5l3UwQS+D/nCq5oBKdZyhb1aC+q0SQgghRKzo6uqibr06/JYmLDQMbzzewKqCFSKC/sxBX1gogM1naroq6LqkNb56OsLUMmPuXEIIIYQQcaappYkatWrwZVEGsDScnRBCCCGEiBUKYAkhhBBCiFihAJYQQgghhIgVCmAJIYQQQohYoQCWEEIIIYSIFQpgCSGEEEKIWKEAlhBCCCGEiBUKYAkhhBBCiFihAJYQQgghhIgVCmAJIYQQQohYKfZTySYnJwvn7i1M4eERCAkOKdRjEqp7UaPznupeEtF5T/UvqcJFEOtoaGpARkam+AewkRGR/O/cqYtEXRRCCCGEEPIPVm9ZBm0dbUgJBAIBirGEhAT4ePtATV0dMjKF02OCtfaygHn24mnQ1NIslGMSqntRo/Oe6l4S0XlP9S+pwkQU60hMC6y8vDzMzM1Ecmz2hrJfCYTqXpLQeU91L4novKf6l1SaIop1aBAXIYQQQggRKxTAEkIIIYQQsUIBbAFQUlJC206t+F9SuKjuRYfqnupeEtF5T/UvqZREHOsU+0FchBBCCCGkeKEWWEIIIYQQIlYogCWEEEIIIWKFAlhCCCGEECJWKIAlhBBCCCFihQLYPPL94YtB/YfAtrwdnB0qY+6seYiPj8+XfQ7uP4SmDZvBppwdunTsBg+PN3ktZrEUERGBCeMmwqFCRdhXcMS4UeP5jCD5tU9cXDyaNWqBssYWePrkaQG9CvGUmJiIhfMWoZJjFX5+DugzEN+/+/zTPmwc6eWLl9GtUw/+3tSqVgezZ8xBeFg4JNWWTVtRs2ptWFvYoFO7zvB47ZEv++TleSXNqROn0aBOI1iZV0Dzxi3hevvOP+/zxuMtRo8YgypO1fhn/8C+g/D+3fsCfBXi6e6du2jZtDWvx/q1G+LEsZP5us/N6zdhbmKJti3b53PJxd8bj7fo3KEr/2yoUaUWNm3YnC/7sM//tavXoW6NerC1ssfgAUPh4/MjfwrNshCQ3ElMTBQ0qtdE0KdnX4GPj4/g1ctXgmrO1QVTJ037531WLF0psLN2EFy94iKIiooSuL9wF8ycNoveonT69uwnaNqwueDjRy/B50+fBS2bthJ079wj3/aZNnk6396kdBmB22M3qvt0Zs+cK6hSsZrgxXN3wQ+fH4IBfQYK6tWsL4iPj8/zPq9fvRYMHThM8OD+Q0FYaJjgjcdbQZMGTQU9uvSUyLrfvXOPwNrCRnDzxi3Bz58BgulTZvDPhMDAwH/aJy/PK2luXr8pKGtsITh+9IQgKChIsGHdRoGFaTnB2zdv/2mfnl17Cc6dOS/w9/Pnt3GjxgscbZz4+0BSvX/3ntfb+jUbeD2eOHaS1+u1q9fzZR9W7+w7t2vH7vzzn/wSHBwscKhQkX/3sXPy9i1X/lmxY9tOwb/uM3zwCEHt6nX5d2l0dDTfbvXKNYL8QAFsHrhcvcaDG/ZlnIZ9eLF/OKEhoXne5/t3H4GZkTn/R0gy5/nBk9cjC3bSPHF7wtexQOhf97l88TL/ocE+GCmAzSgyMlJgUaac4PDBI8J1P/1/CkwNzATnz17It30Y9gOO1T/7kJQ07Et28cIlwvsJCQk80NywdsM/7ZOX55U0LLhhP6bSa9aohWDCuIn5uk9MTIygjGFZwemTp/Oh1MXDlIlTeSNDesMGDRd0atf5n/dJTk4WdOnQTbBn117eIEQBbEabN24R2FrZ88+ENEsWLeUNDykpKXne567rXf45zhovCgJ1IcgDdlnZ1NQEpQ1KC9fVqFkdSUlJcHd/med9rrtch7S0NFq0bJ6XYkmEp0+eQVZWFpWrVBKuc3J2goKiAp49ff5P+7DLGjOmzcLaDauhoKBQwK9E/Lx6+RoJ8QmoVr2qcF2JkiVgYWmBZ0+f5ds+TFhoKGRkZCRuMhDWzcjX1w/VqlcTrpOTk0PlKpWzPL9zsk9enlfSpKSk4MXzF6hW49e5mvY5nVUd5WUfJiI8gu+roqqaT6UXf+xzOv3nBFO9ZnX+/ZicnPxP+6xfu4F/3vfp17uASi/enj55hkqVnPlnQpoaNarD398/y8v9Odnn6hUXHvc4ONoXSLkpgM2DwJ+B0NHVzbBOR1cn9bGAwDzv8+3rNxibGOPggUOo6lSd99fs1a039VNLJyAgAJqaGjy4SSMlJQVtLe0s6z4n+7AfEmNGjMXQYYNhZW2VuxNCQgQGBGQ4b9Noa2sjMDAo3/ZhfZPXrl6P1m0kbza7gP+fj7/Xl44Oq6/APO+Tl+eVNCyojIuLg45Oxs9p7WzqKC/7MPNmz4eBoQFq1qqRT6UXf+xzOrPzk/0ADg8Pz/M+bo/dcGDfQaxYvawASy/eAjOpR22dv8Q0Odjn2zdvlDUvi0XzF8PRxomPgxg+eMRfx03klGy+PIuYYx80LGDMTtPmTbFxy/q/PpcAuZ/YLG0f1qXjy+cvePzIDafOnYCcvByWLV6Onl17w+XWVZQooYfiiHXsjomOyfJx6wpWOH/5XLbPIS0txesvN9Lvs271eigpKWLA4AGQJK2atcbbN++yfFxZRRmv32V+VSG/6j692NhYDOo/GGpqapi3aG6unrM4k5KSRm7nTMzJPnl5XknDrorltpKy24d9prNBXgeP7pe4H2i5JcXq8f/fjXnZhw3eHTtyHBYtXQg9veL5/VlQ2Gd0buv+930EKSm4dfM2jEyMcePONURHRWPqpGno27MfLl+7CHl5+X8qIwWwAD+xP3x+95c35ldjta6eLr9slF5IcAj/q/dbK2tu9tEroccvK82aO1PY1WDewrk4efwU7t+9j3Yd2qI4cvd4nu0/EtZamkZXVxdhYeG8ntLeE7ZvcHAIr+PM5GSfx4/d8OTxEz5CNb2uHbujUZOG2LL97yMyxdGZC6dzVfdp561qukufwcHBsCyXsd7ysg8LXvv3Hsi/dA4fP8SDWEmTdj6mfTakry9dPZ0875OX55U0aupqkFeQR0hwcIb1wUHBwvP4X/dZvXIN9u7ehz0HdsHeoWAuq4orVl9/nJ9BwTzI0dDQyNM+H9578q4zQwcOEz7OvgfYZx7LMnPw6AFUrVYFkk43i3pk9LL5Xv3bPnolSkBRUREzZ0/nV0DZlbdpM6eheeMWPAuHnb3dP5WbuhD8H+sjmd0tfQBb0bkivn79hp/+P4XrHtx/yN8g+yz6euRkH+dKzqlvSrqgQYr9J8VuKLZYHWRX9+kv/Ts5V+SX+9Ont3r+7AW/jMcey0xO9jl09AA8v7znP2TYzeXmVb6efcBt2roRxVVu6t7W3pZ/MTx69DjD1YuPnl78/M5MTveJi43j6bVCQoJx6NhB/kEniQwMSqNUqVJ4/PBXfbFzl/24cnJyyvM+eXleScPOdQdHBzx65JZhPfucrujs9M/7rFm1Fju27sTu/TtRqfKv/vgkFfssfpxJPdrZ2/LPorzsU8HGGl7fPIWf6+zWs3cP2NrZ8OUqVStT9SM1PmF9WtlnQvp6ZOMVjIyN8ryPcyWn/8cv6WKa/y+mX5dnBTI0rJhjo+7q1WogGNhvME9Bw0a516xaO8Oo05DgEJ5R4MypMzneh43ca9eqg2D4kJE8JUh4eDhPUcFSVQQEULqV9ClpWjVrLfD2/s6zOrRt2V7QqX2XDO8Rq7M1q9bmap/0vnz+QlkIMsFSL1WvXJOnCGLnKBt9zc7j2Ng44TZtWrQTjBv9X473YX/Z+9O4fhP+uKTbvmW7wKa8XWpasbBwwdxZ8wQ25Wx59oY0o0eMEXRo0zFX++RkG0nHssWYm1jylFcsgwZLCcQyxaTPVrJy+SqBk32lXO3D0jyxFEOPHz0u9NckLlj6PFaP7Dxl9ciylLD7LDNMGpahh32vsu/GnO7zO8pC8CcWX7CMAnNmzuWfDQ8fPOKfFSzTQPrMPazuWQrQnO7DUoFWdaouWDR/MX9/2GcNS1HZsG7jDNkL8ooC2Dz69vWboGe33jwHHfsSmDJxmiA2Jlb4OEv/w9JHnDpxOsf7MCy4ZQFs+bLWggqWtjxXaVbpoSQV+3EwYugoXkflzKx4QPR7Lkv2D2nVitW52ic9CmAzFxcXJ5gxdSavX3Yes/OT5dVNj6WoGTNybI73uXfnHv+3wtIKsQ/I9Le0D0tJwn7Ish9fTnbOvA7YD69nT59n2Iady+yHQm72yck2RCA4dOAw/8HFzsf6tRvylG7pLV+ygv9Azs0+LKBlqeN+P78phVlG112uCxrUacTrpnqlGoL9ew9kePzYkeP8s4IFTDnd53cUwGaOpbpq3bwNr8eKts78h1r6FFosjyur+5fuL3O8D+P18RP/zGef/fbWjvy7lzUk5Qcp9j9qQy8YrGmdXWLKl6ZykisshQqr9/RdP/Ly/mV16YrkX92zj6Cs0uRQ/WcurR9f+i4epOjWPTu/M/uqpe+H3En7rPiXzwX6t4Ni851IASwhhBBCCBErNIiLEEIIIYSIFQpgCSGEEEKIWKEAlhBCCCGEiBUKYAkhhBBCiFihAJYQQgghhIgVCmAJIYQQQohYoQCWEEIIIYSIFQpgCSGEEEKIWKEAlhBC/q9pw+ZYv2ZDkayPx4/cYGlWHv5+/iI5/tLFy/jxN6zdmOU2cbFxsK/giGdPnhVq2QghkocCWEII+b+EhAQkJSflqj4e3H/IA7vAwMACrUc2BWZCfEKmU5IWNDZ954ljJ1G3Xl0cO3o8yzK4ut6BrIwsHJ0cC72MhBDJQgEsIYT8g5Tk5P8HlgVbjVWqVsb7T++gX1ofhe32zduIjYnFgsXzeQswaw3OzNXLLmjUpCGkpemrhRBSsOhThhAikdweu6FNy3awKWeHujXqYe/ufcgsCv3u/R1jRo5F5YpVYWftgL69+sHL6xN/jAVy/XoP4Ms1q9biLbGN6jXh90+dOA1bK/s/no89vmnDZuH9Wzdv8/2uXL6Kzh26oqKtM+rXboj9ew9k2O+J21PYWdsLuxDkdD/mwb0HaNOibYbX2rRhsxx3lzh+7AQaNm6AEiX0UKNmdRw/euKPbZKSknDz+k00adpYuK5n114Y2G9wps/Jjs3qNDY2NkdlIISQ9CiAJYRIHB+fH+jdvS8cHR1w7dZVbNmxGadOnsbnz18ybMeCxXat2sPPzx97D+yGy40rKF26NLp37oHo6GhUquyMbbu28m1v3rmBV29f4uLV88LL7vHx8Zl2U0hOSv6jBXfNyjWYPHUSbrhew6AhAzFz2qwMLZ2/dyHI6X7e37zRt3d/ODk78de6decWnD19Du/ffchRd4mQkBDcvH4LzVs25/dbtGqByxcv89ef3qMHj3gQW71mdX7f84Mn7t29jzZtW2f6vG07tEXAzwBcOHfxr2UghJDfUQBLCJE4O7buQOnS+pg1dya/JF/eqjxWr135x3bbt+5AbGwcNm/bCCtrK5TSL4V5C+dCTk4OB/cf4pfK5WRl+bby8vJQVFTgf/Ni/qJ5cHKuCC1tLXTr0RVmZc3w4P6Df95vx7adMDIywsw5M/hrLVe+HFatXQEpKakclevMqbP8NdWuU5vfb9y0EQ9UL57PGHheveKCuvXrQkFBgd+/5nKdH6N2nVqZPq+RkSHMzMrgxvUbwnXjR//HW5XZLbPgnxBC0lAASwiROO/evYejU8UMfTVZ4Kerq5Nhu+fPXqCikyN0dH6tl5WV5etevXydr2WysLDIcF9bWwthoWH/vN/79x/gWNEhQ8BqWsYUOr+91qyw7gKs+wALzhl1dXXUql0zQzcC1ip87er1DN0HvDy9+DE0NDX4fdZVgAWmjx4+Fm5jZl4WHz29hPeXrlwCd4/nhdKnmBAi3lKbDgghRIKwy+/S0n+2QEr9NvgoOTkJ9+894IFXhvVJyXBwdMjTsbMawf/7sbPbNjf7CVJSMm1tzclAKw+PN3j39h3GTRibYT3rTvDf2An48vkLypiVwYvn7ryrQb0GdX8dF4IMfYojIyJ5YBoeHp6+oBmel7Vs57RlmBAi2SiAJYRIHMtylnxQVHrfv/sgKDAowzobWxve4rhjz44/niMtAJaVkxMGiumxlkcWsLGWRyUlJb6OLRd2HldzCwu8eP4iwzrfH74IDPh72q8TR09AVVVV2H0gDetGIK8gz1NrTZwyAVevXOWDu9i2aVi3hdDQMERGRkJNTQ0fPnzgwanne09hS62393cYGxvl22slhEgO6kJACJE4Awb1562HK5etQlRUFA/oJo2f/EeL59DhQ/D6tQe2bt6KqKhIyMvLIeDnT+zctgNnTp3h2xgaGfK/L164Z9jXwcEeioqK2LhuE+/PyfLETvpvMh/EVZgGDO4Pr49eWLt6HR94xQLoyROn/rV1l5WTDfZK330gDQtIa9euxTMtsMFlLpdd0KRZavaFNM1aNOOPbdnI6i4K+/YcQOu2rXDi+EkEBwfz7AlsoFfa4DBCCMkNCmAJIRKH9Xfdsn0TLpy7ANvy9mjRpBWq16gGU1OTDNsZmxjj1NmT/DJ6vZr1YVmmPHp374O4uHg0adaUb2NoaIDR40Zh6sRpsDAtJ0yjVaJkCaxZvwrnz13g6avat+4IWztbGBVyi6O5eVls3LoBp0+c5uVo1qgFKleuBH19/WwHnF13uY7Q0FCeJSBtYFX6G0vj5efnh8MHj+DbN28e6KZnXcEKS1cs5hMfOFSoiKTERCxdsRR16tZG9co1MWHsRAwZPhgdO3cQ7rNm1VpYW9rwZZYyjP3AIISQzEgJRDGtCyGEFBEs3ZWMjIyw1ZH1DWUDtTLDWhSz6zuamJjIWzZ/DwzZurS+newY7Hhpx+TpsRIS/2jl/L0sv2+X0/0ye61skJeTfSWsWb8ardq0zPS1sEwDSenSfWVly6YtPM/ssVNHs9zm93pLXx/ZHVNWVibL94IQItkogCWEkGJuwdyFaN+xPSzLWfDuEnNmzuVdI1zv34KysvI/PTcL2lkwSoEmIaQw0U9bQggp5mrUqoEpE6fgwwdPKCspw7myM46fOvrPwWta5gBCCCls1AJLCCESIqtL94QQIm5oEBchhEgICl4JIcUFBbCEEEIIIUSsUABLCCGEEELEyv8AbnBUXr5a5b0AAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 715x396 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "w1, kappa = 2 * np.pi * 1.0, 0.02 * (2 * np.pi) ** 2  # rad/s; coupling spring (1/s^2)\n",
    "t = np.linspace(0, 400, 40001)\n",
    "\n",
    "\n",
    "def max_transfer(w2):\n",
    "    \"\"\"Exact normal-mode solution, resonator 1 displaced and released; max energy fraction in resonator 2.\"\"\"\n",
    "    K = np.array([[w1**2 + kappa, -kappa], [-kappa, w2**2 + kappa]])\n",
    "    lam_, modes = np.linalg.eigh(K)\n",
    "    amp = modes.T @ np.array([1.0, 0.0])  # initial displacement in normal-mode coordinates\n",
    "    x2 = (modes[1] * amp) @ np.cos(np.sqrt(lam_)[:, None] * t)\n",
    "    v2 = -(modes[1] * amp * np.sqrt(lam_)) @ np.sin(np.sqrt(lam_)[:, None] * t)\n",
    "    x1 = (modes[0] * amp) @ np.cos(np.sqrt(lam_)[:, None] * t)\n",
    "    v1 = -(modes[0] * amp * np.sqrt(lam_)) @ np.sin(np.sqrt(lam_)[:, None] * t)\n",
    "    e1, e2 = 0.5 * v1**2 + 0.5 * w1**2 * x1**2, 0.5 * v2**2 + 0.5 * w2**2 * x2**2\n",
    "    return np.max(e2 / (e1 + e2))\n",
    "\n",
    "\n",
    "detune = np.linspace(-0.06, 0.06, 61) * w1\n",
    "frac = np.array([max_transfer(w1 + dw) for dw in detune])\n",
    "g = kappa / (2 * w1)\n",
    "for dw in (0.0, 0.01, 0.03):\n",
    "    print(\n",
    "        f\"detuning Δ/ω₁ = {dw:4.2f}: max transfer {max_transfer(w1 * (1 + dw)):.3f}, \"\n",
    "        f\"coupled-mode estimate {g**2 / (g**2 + (dw * w1 / 2) ** 2):.3f}\"\n",
    "    )\n",
    "fig, ax = plt.subplots(figsize=(6.5, 3.6))\n",
    "ax.plot(detune / w1, frac, color=style.OPEN_NEMO, label=\"exact normal modes\")\n",
    "ax.plot(\n",
    "    detune / w1, g**2 / (g**2 + (detune / 2) ** 2), \"--\", color=style.REFERENCE, label=\"coupled-mode estimate\"\n",
    ")\n",
    "ax.set(\n",
    "    xlabel=\"detuning Δ/ω₁\", ylabel=\"max energy fraction in resonator 2\", title=\"resonators must be in tune\"\n",
    ")\n",
    "ax.legend(frameon=False, fontsize=8)\n",
    "fig.tight_layout();"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "105cff83",
   "metadata": {},
   "source": [
    "Tuned resonators exchange all of the energy (1.000 in the exact solution). A detuning of 1 % already\n",
    "limits the transfer to 0.806 (coupled-mode estimate 0.800), and at 3 % only 0.314 arrives (estimate\n",
    "0.308). The width of the resonance is set by the coupling, $\\Delta \\approx 2g$.\n",
    "\n",
    "## 5. White light and its spectrum\n",
    "\n",
    "The last classical observation is chromatography: white light consists of a broad spectrum of\n",
    "colours, each colour is a wave of a particular frequency, and a prism separates them because the\n",
    "refractive index of glass depends on the wavelength.\n",
    "\n",
    "![Slide 12: a prism separating white light into colours](attachment:slide_012_crop.png)\n",
    "\n",
    "*Slide 12: a prism dissects white light into its frequency components.*\n",
    "\n",
    "For a 60° prism of BK7 glass at minimum deviation the deflection angle is\n",
    "$\\delta = 2\\arcsin[n(\\lambda)\\sin(A/2)] - A$, with the Sellmeier formula\n",
    "$n^2 = 1 + \\sum_i B_i\\lambda^2/(\\lambda^2 - C_i)$ (Schott catalogue coefficients)."
   ],
   "attachments": {
    "slide_012_crop.png": {
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"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "176f880f",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:52:57.703942Z",
     "iopub.status.busy": "2026-10-24T22:52:57.703876Z",
     "iopub.status.idle": "2026-10-24T22:52:57.762034Z",
     "shell.execute_reply": "2026-10-24T22:52:57.761684Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "λ = 400 nm (f = 749 THz): n = 1.5308, deviation 39.89°\n",
      "λ = 500 nm (f = 600 THz): n = 1.5214, deviation 39.05°\n",
      "λ = 600 nm (f = 500 THz): n = 1.5163, deviation 38.60°\n",
      "λ = 700 nm (f = 428 THz): n = 1.5131, deviation 38.32°\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 715x396 with 1 Axes>"
      ]
     },
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    }
   ],
   "source": [
    "B_ = (1.03961212, 0.231792344, 1.01046945)\n",
    "C_ = (0.00600069867, 0.0200179144, 103.560653)  # µm²\n",
    "lam_um = np.linspace(0.40, 0.70, 61)\n",
    "n = np.sqrt(1 + sum(b * lam_um**2 / (lam_um**2 - c) for b, c in zip(B_, C_)))\n",
    "A = np.radians(60.0)\n",
    "delta = np.degrees(2 * np.arcsin(n * np.sin(A / 2)) - A)\n",
    "f_THz = 299792458 / (lam_um * 1e-6) / 1e12\n",
    "for l_, n_, d_, f_ in zip(lam_um[::20], n[::20], delta[::20], f_THz[::20]):\n",
    "    print(f\"λ = {1e3 * l_:.0f} nm (f = {f_:.0f} THz): n = {n_:.4f}, deviation {d_:.2f}°\")\n",
    "fig, ax = plt.subplots(figsize=(6.5, 3.6))\n",
    "ax.scatter(1e3 * lam_um, delta, c=lam_um, cmap=\"turbo\", s=18)\n",
    "ax.set(\n",
    "    xlabel=\"wavelength λ (nm)\",\n",
    "    ylabel=\"deviation δ (degrees)\",\n",
    "    title=\"60° BK7 prism: each colour leaves at its own angle\",\n",
    ")\n",
    "fig.tight_layout();"
   ]
  },
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   "cell_type": "markdown",
   "id": "93b5bf81",
   "metadata": {},
   "source": [
    "Violet light (400 nm, 749 THz) is bent by 39.89°, red light (700 nm, 428 THz) by 38.32°, so the colours\n",
    "fan out by 1.6°. A spectrum can therefore be measured, and Klimeck's closing question\n",
    "is whether such spectra contain information. Lecture 4.2 answers it: the spectra of hot bodies and\n",
    "of atoms are where classical physics fails.\n",
    "\n",
    "## Summary\n",
    "\n",
    "- The density of conducting electrons is not $N\\times\\rho$; to find it, the behaviour of electrons as\n",
    "  particles and as waves has to be understood.\n",
    "- Classical particles are countable and exchange energy continuously; an elastic collision transfers\n",
    "  the fraction $4m_1m_2/(m_1+m_2)^2$ (0.331 for a mass ratio of 10).\n",
    "- Propagating waves have continuous wavelengths and interfere. A Huygens sum of 400 point sources\n",
    "  reproduces the double-slit fringes, 12.67 mm apart for 633 nm light, 50 µm slit spacing and 1 m\n",
    "  distance. open-nemo transmits every wave through a uniform open wire ($T = 1$).\n",
    "- Standing waves are discrete: in open-nemo's 10 nm box the wave numbers are $k_j = j\\pi/L$ to\n",
    "  0.0015 % up to $j = 6$. Coupled resonators exchange all of their energy when in tune and only 0.314 of it\n",
    "  when detuned by 3 %.\n",
    "- A prism separates white light by frequency (deviation from 38.3° to 39.9° for BK7 across the visible).\n",
    "\n",
    "## Exercises\n",
    "\n",
    "1. Make the slits of section 3 wider ($a = 25$ µm). How many bright fringes fit under the central\n",
    "   envelope now? Derive the number $2d/a - 1$.\n",
    "2. Repeat the box calculation of section 4 with $\\Delta x = 0.05$ nm and $\\Delta x = 0.1$ nm and\n",
    "   compare the relative error of $k_6$ with $(k\\Delta x)^2/24$.\n",
    "3. A guitar string of length 0.648 m is tuned to 82.4 Hz. What is the wave speed on it, and what\n",
    "   are the frequencies of its first four standing waves? Which of them is \"in tune\" with a body\n",
    "   resonance at 247 Hz?\n",
    "\n",
    "## Further reading\n",
    "\n",
    "- [Lecture 2.3: Atomic positions and bonds](02_3_atomic_positions_and_bonds.ipynb)\n",
    "- [Lecture 4.2: The advent of quantum mechanics](04_2_advent_of_quantum_mechanics.ipynb)\n",
    "- [Lecture 5: Analytical solutions for free and bound electrons](05_0_free_and_bound_electrons.ipynb)\n",
    "- [Lecture 9: The particle in a box revisited](../04_nanoscale_electronic_states/09_0_particle_in_a_box_revisited.ipynb)\n",
    "- [Green's functions from scratch](../../book/04_resonant_tunneling_diodes/04_01_open_systems_and_wells/04_01_01_greens_functions_from_scratch.ipynb)\n",
    "- Double-slit experiment: https://en.wikipedia.org/wiki/Double-slit_experiment\n",
    "- Prism (optics): https://en.wikipedia.org/wiki/Prism_(optics)\n",
    "- Schott optical glass data sheet, N-BK7 (Sellmeier coefficients)."
   ]
  }
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