{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "5c80cf63",
   "metadata": {},
   "source": [
    "# ECE 606 Lecture 4.2: Strange experimental results: the advent of quantum mechanics\n",
    "\n",
    "*From* [Nanoelectronic Modeling — From Atoms to Devices](https://nanohub.org/resources/45001), *Gerhard Klimeck, Purdue University. Lecture page:* [nanoHUB resource 37101](https://nanohub.org/resources/37101) — [video](https://nanohub.org/resources/37842) · [slides](https://nanohub.org/resources/37841) · [YouTube](https://youtube.com/watch?v=P3M_LarcYQc)\n",
    "\n",
    "**In this lecture**\n",
    "\n",
    "- black-body radiation: the measured spectrum, the Rayleigh–Jeans and Wien laws that each fit only one side of it, and Planck's formula that fits all of it\n",
    "- Planck's formula read as number of modes × energy of a mode × occupation, with light emitted in quanta $E = hf$; the COBE measurement of the 2.725 K cosmic background\n",
    "- discrete optical spectra: the hydrogen series $E_{mn} = 13.6\\ \\text{eV}\\,(1/m^2 - 1/n^2)$, the Bohr model with quantized angular momentum, and electrons as standing waves bound to a core\n",
    "- the photoelectric effect: electron energy set by the light's frequency, not its intensity; Einstein's $E_\\text{kin} = hf - W$ (1905, Nobel prize 1921)\n",
    "- wave–particle duality: $E^2 = m_0^2c^4 + p^2c^2$ gives the photon momentum $p = h/\\lambda = \\hbar k$\n",
    "\n",
    "**In this notebook** computes the Planck, Rayleigh–Jeans and Wien spectra and checks Wien's displacement and the Stefan–Boltzmann law, counts the standing-wave modes of a cavity, evaluates the 2.725 K cosmic background, solves the hydrogen atom's radial Schrödinger equation with open-nemo's eigensolver and compares the levels and the Balmer lines with Bohr's formula, tabulates photoelectric thresholds, and compares photon and electron wavelengths."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "d77ffcdc",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:47:03.419911Z",
     "iopub.status.busy": "2026-10-24T22:47:03.419804Z",
     "iopub.status.idle": "2026-10-24T22:47:03.886847Z",
     "shell.execute_reply": "2026-10-24T22:47:03.886317Z"
    }
   },
   "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 COULOMB, C_LIGHT, H, HBAR2_2M0, KB, M0, Q"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fc454a2b",
   "metadata": {},
   "source": [
    "## 1. Black-body radiation\n",
    "\n",
    "Around 1900 three experiments did not fit classical physics. The first is the light emitted by a hot\n",
    "body. A cavity with a small hole is the ideal emitter (a black body): the radiation that leaves\n",
    "through the hole has a spectrum that depends only on the temperature. The measured intensity rises\n",
    "steeply at short wavelengths, peaks, and falls off at long wavelengths, and the peak moves to\n",
    "shorter wavelengths as the temperature rises.\n",
    "\n",
    "![Slide 5: black-body spectra and the three formulas](attachment:slide_005_crop.png)\n",
    "\n",
    "*Slide 5: measured spectral emittance of a black body at 300, 1000 and 2000 K on logarithmic axes, with the Rayleigh–Jeans law (dashed), Wien's formula and Planck's fitting formula.*\n",
    "\n",
    "Two classical formulas each describe one side. Rayleigh and Jeans gave every standing-wave mode of\n",
    "the cavity the classical thermal energy $k_BT$, which fits the long wavelengths and diverges at short\n",
    "ones (the \"ultraviolet catastrophe\"). Wien's empirical exponential fits the short wavelengths and\n",
    "fails at long ones. Planck found the formula that fits everything. Per unit wavelength, for the\n",
    "spectral radiance (W m⁻³ sr⁻¹),\n",
    "\n",
    "$$B^\\text{RJ}_\\lambda = \\frac{2ck_BT}{\\lambda^4}, \\qquad\n",
    "B^\\text{W}_\\lambda = \\frac{2hc^2}{\\lambda^5}\\,e^{-hc/\\lambda k_BT}, \\qquad\n",
    "B^\\text{P}_\\lambda = \\frac{2hc^2}{\\lambda^5}\\,\\frac{1}{e^{hc/\\lambda k_BT} - 1} .$$\n",
    "\n",
    "The slide's $\\beta$ is $hc/k_B$. The emittance of the slide's plot, in W/(cm² µm), is\n",
    "$\\pi B_\\lambda$ converted to those units. The cell draws the three formulas, finds the peak of\n",
    "Planck's curve, and integrates it to the total emitted power, which must give Wien's displacement law\n",
    "$\\lambda_\\text{max}T = hc/(4.965\\,k_B)$ and the Stefan–Boltzmann law $\\sigma T^4$."
   ],
   "attachments": {
    "slide_005_crop.png": {
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"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "6ba7ea8e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:47:03.888231Z",
     "iopub.status.busy": "2026-10-24T22:47:03.888099Z",
     "iopub.status.idle": "2026-10-24T22:47:04.177888Z",
     "shell.execute_reply": "2026-10-24T22:47:04.177479Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " T (K)   λ_max (µm)  hc/(4.965 kB T) (µm)   peak (W/cm² µm)   ∫πB dλ (W/m²)   σT⁴ (W/m²)\n",
      "   300       9.661               9.659           0.00313           459.3        459.3\n",
      "  1000       2.897               2.898              1.29        5.67e+04     5.67e+04\n",
      "  2000       1.449               1.449              41.2       9.073e+05    9.073e+05\n"
     ]
    },
    {
     "data": {
      "image/png": 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eBfxFixcVy2yVhBBCCCGE5MvgPDM+Pj4oWrRoituKFRfMhuft45Pq/n0se0NJKWXO+r+uXHDG2RPnU91uN802w6CeZF9iQiKfmZSQ3BQWFobRY0bB19cX8vIKcNjsABMTEzo+Sb5Gn59EmtHxmTNlTIzyX3AeGxuXKthmE9iwqd+TpiJPbtrMqZk+p7lFOzRv/X+N7eCgYCycuQxG5YpDR5dKMOaGr+7fUxyAhOSWHXu3o0eXnoiNicXipYtw4cr5TH900/FJpBkdn0Sa0fEpPvmmC5N9qQYFBaW4LTQkFImJidDU1MzWcyqrKPMgPOmipa0lptYSQiStalVTLP6b6saqOqmqqki6SYQQQkim8k3PuWlVUxzYdxAhIaHC3i83t1f8bxXTyjl67kvnruCS01Ue6BNCCg42S7Bptao8UCeEEELyg3zTc962fRuoqqpim+M2fj0+Pp4v161XB+XKl8vRc3fsao7Nu+yxZM18MbWWECItKDAnhBCSn0hNz/nunXt4GcWgQEHqytCBwyAjK4tpM6aiTt3a0NDQwOYtGzFx3CRcunAJ4RER0NbWxu59gjrnOUE954QUDqy86txZ87B63SrhgHJCCCFEmkhNcN6yVQtUrpI6PaVcubLC5SbNmuDRswf48P4DHwxaqXIlFClSJMfbZj3n7BIYEAhbq2k5fj5CiPRhE5V16dSNj1UZZzUBR08ehry8vKSbRQghhEhncF62XFl+yYyioiJq1KyRJ20ihBQcurq66DegL7Y5bofrM1csX7IC8xbOlXSzCCGEEOkMziWJ0loIKRymTp+Cly/c8OTRE55KV6duHXTq3FHSzSKEEELy34DQ3EQDQgkpHOTk5LDJcSMMihrw69MmT8eXzx6SbhYhhBAiRME5IaRQMTDQ54PLZWVlERERgbGjrREZGSnpZhFCCCEcBeeEkELHrL4ZZsyazpfdP7pj5rRZ+PPnj6SbRQjJx25cu4FB/Qbn6jYuX7yMEUNG5uo2iORRcP4353z8CFvMmSKYTZAQUvCNHDMC5h3b8+WQkBDERMdIukmEECn36OFjVKlQlV9qmNZC5w5deHlnJj4hAVFRUbm6/bj4eERHR4v8uJ3bdgrb/e+lcf2mYmsfm8zx0IHD6NC2E+rXaQjr0ePg4+OT4j4uT1z4fqtVtQ6GDRoO3x++Iq3/9/1I3n62/RlTZ6Jn194ICQ5BfkXBOeWcE1IosTKsrN75/EXzsHvfLigpK0m6SYQQKZcQH8+rxj19+QR37t/CoCED+fwrnz9/gTQbMnwIbzO7zF80FyUMSwivX7t1VWzbefLYBZ4enli/aR3OOJ2CkpISJoy1Ea4PDAzEiKGj0KNXD1y46gRtHR2MHzsxy+vTej8iIwRpiQkJCbCzmYy3b95i194d0NTSRH5FwTkhpNBSV1fHsBFDISNDH4WEkKxjM5ZraWuhT98+0NbRxru371Ksd332XNgz3axRC6xYtpLPbJ6UmjJk4DAsW7wcTRo0Q5sW7XDrxq0Uj7918zbv/TWr3QB2EycjPDw8zXasWr4aA/sOSnd9EjanA2szuygoKPLPvKTrKioqYnvrGzZqgDnzZ6NipYr8B8CI0SPwyu2VMG3w8sUrMDQ05J+77O+c+bPw8sVLfP70OUvr0xMXF4cJYyfi21cvHDp2kL83+RmVUiSEkL/YwNAtDlsx2moUHzBKCMkb8THhCPf/INHdraZXCXKKaiI9hgXRAf4BKF++PLy9vYW316pdk/dKMz7ePphqNw1HDh3lPe0sNeXOrTto1rwpzpw/hauXnTF50lR+f/a58+L5S4y3moAVq5ejfgMz3L/3gN+nZ+8eKdI35s2eD48vHtixZzsPsqVNbGwsnM468YA9acJINsanajVT4X10dHRQ0qgkPrz/COMKxpmuT0tCYgLGjh6H0NBQHDy6Xyr3hagoOKc654QQ9gXq44MxVmPw/bsXYmJiMMnu/1OxhJDcxQJzl0OdJbqbzQach5Zh3UzvFxQUxHvE4xPioa2tzSczM61aJUVwntQzzZhUNIH1BGsc/RucM5UqV8SIUcP58sDBA7B00TL4+fnx3uJDBw7xCdM6d7Xg63v06p5i+yy33XaiHSIiIrHnwG6eZiNurKe6S8du6a5fu341OnTqkOY6ll5SrVIN/jlarHgxHD52ULguLCwcmpoaqc5gJvX8Z7Y+LSyt5fbN21i/yb5ABOYMBed/c87ZJTAgELZW0yT9nhBCJEBXVw/Kysp8ecO6jahVuxaat2hG7wUhJAUWkN9/cpfPm5BeYMwGIy5asASPHz1GcFAwD+RZ7/r/nze6Ke7PcrOjogQDPX28f6BuvfR/JLx/9x4vnr/A1euXcyUwZ8qVLyfs+U9LRttlvf/sseFh4Ti4/xAG9B2E67ec+bgeFRVlXsI2ufCwMCirCD57M1ufFha8L162iM9boamlgabNxDfAVVIoOCeEEP7lqIiFCxfCauwY/sVqM24SLjqf5z1ZhJDcTylhPdeSbkNWZdZDu26NPaKjonDo6AHo6Org7u172Lh+U5aeu1ixovju9T3d9dWqVYV5h/YYPGAojp48nCufUSxdJrs950xSPrvtlEk8VdDDwxNVTCvz1JQzp84I78dSUX788EWFChX49czWp8eiSyfEx8fBaqQ1du7dwVNp8jMKzgkh5K/ixYpj/cZ1GDZ4BIKDg2E9ZjyOnzqaa71ThJC/wYiiWpZSSvILVp5VT18PRqWMeE76/r37s/xYlls+buwENG3eFHXr1cGjh48QFhqGjhYdhfcZNHQQYuPi0L/PQBw7eYSnj7A0ElZ+8PiZY6ha9f+87bzsOWd59awtjRo3xJ/EP9i3dz9UVFVQpmxpvr5DR3OsWLoSF5wuok27NvwsZbnyZXngnpX1GenWoxvPcx81bDT2Htyd4dkHaUclCgghJJmWrVtigs14vuz2wg1LFi6l/UMIEcnYcVZ8IGdlY1P07mEJUxGC5SbNmmD23JmYPGkKqphUxY5tu1Cvfr1U92M56/0H9kP/PgPw69dv/PT7CVk5WZQqZZTjdyt5NZe0LiylJy0tW7XAyeOnUKd6PdSsWhvXna9jz/7dwoowRYsVxUbHDfxztUoFUzx+9ASbt24WPj6z9Zlh1XOmz5rGO1hevnBDflXkD02LJ5SUc26/dRU/DUXE76v7d5QxyfkHByG5eXyyAU1DBgzlX67Mhs326Nq9K+10IlH0+Sl57LOB9VCnVX6QrYuLjUsxZwK7jeVgJ1/HSirGxyfwVLrklaLYmJekqibJq7IkL/Wa3mNZqUSWDvLdyxuTp9ll+Br4c8TFi31uh+THZ9Lrzqz8IWt3dtdn9H6wyaDYfsuvZz0prYWqtRBC/sG+VDY4rIdF+y7w9fXFti07YNHFgsorElLIsc+G9OqCs3WyyikD0qQANfk61uv8b89zes/57xwMGT2WpXVkpQRsWs8hbllpR2aBt3wm65O2k9a+Sxrcn19RWgvNEEoISQOrpuCwbTMPytmgK6p7TgiRZgoKCvQ5VUBQzzkhhKSjdp1a/EIIIYTkFeo5J4SQLGL5n2wqakIIISS3UHBOCCFZEBISitEjrNCjSy+4PnWlfUYIISRXUHBOCCFZ8Pv3bzy8/5BXOrC2Gg9/f3/ab4QQQsSOgnNCCMkCY+PyWLlmBV9m9YQnWtvwMl6EEEKIOFFw/reU4vgRtpgzZaFYdy4hpGDp3NUCQ4cP4csPHzzCutX2km4SIYSQAoaCcyqlSAgRway5M1GrtqCCi8MmR9y4doP2HyEEd27fxZiRVrm6J645X8cE64m0tws4Cs4JIUTEWsKO2zZDR0cwi7CtzWR4ffOifUhIIfDU5Ska1GnEL00bNscAy4E8KGeio6MR4B+Qq9tnM1+y2cxFdWDvAWG7/72Yt+kgtvb5/vBN8dzfvn5LdZ83r9/w/da8cUvYjJ+EgIAAsa7/9/369/UtW7wcfXv1R0hwCKQVBeeEECKi4iWKY4ODPZ9qOzQkFFMnT6d9SEghEBMdg6joKJw5fwqHjh5Ay1YtMGrY6DSDUGnSvVd33mZ2sRo3BiqqKsLr+w/tE9t2DIoa8Oc8ee4E/Pz8EBcfn6rq1eD+Q2HWwAxbdzgiJiaGj98R1/q03q+ffr/48p8/fzBn5lzcvHELGx3WQ1NLE9KKgnNCCMmGps2awm6KLUwqmmDZiqW0DwkpJGSKyPAf6KVKl8LIMSOhoamBV26vU9zH7aWbsPfYwrwLHDdv4fMkJKWmjLOagM0bHNCxnQUvz/r40ZMUj3/29BmGDRqONi3aYcHchYiOjkmzLVsctmLooGEIDw/PsM1qamq8zeyiqakJOTk54XUWUIsLm0mZPWexYkXTXH/l0mXo6OrAxnYiKlepjEVLF+HRw8fw9PAUy/r0sH0/fcoMPHvqimOnjoj1NecGmiGUEEKyadxEa4wcMwLKysq0DwnJgejIWPh5SLY8abFyelBSURDpMWzOg6DAIJQqbQQ/v5/C21ngyHqQGR8fH8yeMQd6+nroY9mbp6ZcunAJFUyMsclxI5yvOmPiOBs8evqAB7fv3r7nvcOz581C/QZmuH/vAZzOOfHHJrdy+So8evAY+w7u4cF3fvD+3QfUqFlDeN3AQB8ljUry11y2XNkcr09L4p9E2NlMxpfPX3D0xGFoaWtB2lFwTggh2SQjI5MqMGdfvBSsEyIaFpg7WB+T6G4b52iJMlVLZHq/kJAQ3iMeHx+HqKhoTLKz4QGj3xXnFGNTWA8yw/6y+5w8fkoYYJc3Ls9vY6zKj8GGdRt5idYShiWwb88+9LbshQGD+vP1xhWMeUpGksREQXqGxxcPHDp2AKqqqmLfF18+e/C87vQsXr4Ibdu1Efl5Q0PDoKmpkeI2DQ0NhIWFiWV9WsLDwuF09jy27tySLwJzhoJzQggRA1bznH3Bnj93Hmcvnk31BUIIKRjUNdR5r7i8gjx0dXX52JN/RUREYM3KtTxdJTgomOdGJwXrTNFkaRXs8ewHfWRUFL/u9e07unbvkuL5km/jzevXcH3miht3ruVKYM6ULlNK2POfFm1t7Ww9r5KSIiIjI1PcFhEeDmVlJbGsTwsL3mfMnga7iZP5WYY69epA2lFwTgghYnDrxm1sXL+JL0+1m4ZtO7ek+aVNCEk7pYT1XEu6DaLknGfEfs16Pkh05Zrl0NHVxaMHj7Bj284sPb++gR58fX3TXV+9RnU0atIIwwaPwNGTh6Gnl7V2i+LbV69c6TlnZwwunr+U4keMz48fKFe+nFjWp8eynyViY2IxdPBwHDyyP0VqjDSi4PzvJESXnK4KB2sQQoioWrdthR69euD0ydNwvuKM7Vt3YMzY0bQjCckCluudlZSS/OLnz5+oULECD6RZyoXTufNZfmzXbl344MX25u1RxbQyH1z6+5c/2rRrLbzPuAnWiIuL4wH0kROHeWlX1jvfvFFL7Dmwi+e8S2PPefsO7Xmu/N0799C0WRNs27IdJQ0NUbVaVbGsz8igoYMQGxeHwQOG4tCxg6ha1RTSioLzv5MQsQurHWprNU3S7wkhJB9iveRLVyzGu7dv8eH9R6xctor3zjRoWF/STSOE5LFRY0Zi1PAxOHr4GM8/b9W6Jc8pz4rWbVvDynoM+vbuhz+JiShvbAyHbYKzcsmxnPX4uHgMsByEI8cPISIyAqGhoShePONe/axIquaSHa2atkZkpCBFp2+vfpCTlcNF5/M8BahkSUOsXL0C46zGIyE+gQ+SddzuIDzLmNP1mRkxajj/ETO43xAcOXEIFStVhDQq8if5KINCLik4t9+6ipfqIeL31f07ypgY0a4lBfb4ZCW9unTsirCwcP7FcenqBakv20XyB/r8lDwW2LHJa9L6n2blDiMiwnkQyrDwis2DwOpps8exwFlfXx/RUdGIjIoUTmTG/Pr5i8cdLChOjvW6q6ur/7+NNB7r5+vH8+CvXLqKjx8+8lmMM8IGrbPSi6wtuXF8sh8h/2YiFC1WlA+gTxIfH88H1rLXkVZgHZ/D9Zm9X6yNSkpKUlvrnILzZCg4z3305UIKw/F55dIVWI2y5stm9evxU6jy8vJiaCEpzOjzk2SEBfKsl15RUVEiO4qOT/GhSYgIIUTMzDuaY7TVKL7s8uQpVq9YQ/uYEJKrWA+7pAJzIl4UnBNCSC6YNnMq7zVnswea1TejfUwIISRLaEAoIYTkApY7unnLJkRHR/NpvgkhhJCsoOCcEEJyCQ0EJYQQIipKayGEkDzCBorOn7MgxVTchBBCSHLUc04IIXng9MkzsLOZzJcrVa6EfgP60n4nhBBSsHvOAwICMGPqTHTu0AVzZ83jNUUJIUQasIlFSpcpzZdZ7/nrV68l3SRCCCFSqEAF5xvWbUQ9s3pYtnIpr1m+bs16STeJEEI4TU0NbNnuCEUlRcTGxmLs6HEIDgqmvUNIAfHg3gPYjJ+Uq9u4deMWptrRTOYFnYw09n5//vwlw5zMHz4/+P3+NX/RPPTs3QPVqldDvfr1EBsTk8utJYSQrKtiWhlLli3my97fvWE70S7VTHqEEOnl+uw5WjVrwy/mbTpg1PAxcHniwteFR0TAx9snV7cfFh7OYyBRHTl0VNjufy/dO/cUW/sSEhJw6MBh9O8zAL269cYG+418VtPkPrl/4vutQ9tOmDltNkJCQsW6/t/369/Xt37dBgzqP4TPHCqtpCY4f/zoCcaMtELTBs3RpnlbREZGproPOw3cskkrtG/TAQ3rNUa/3gPg7+8vXC8rK4sF8xahcf2m2LtrLyZNzt1fsIQQIqrelr3Qt78lX7518zYcN22hnUhIPhEVGcnjju27t8F+4zpUrWbKA73v370hzTp0NOdtZhfLfn3wJzFReN1+41qxbWfHtp149/Ydxk2wht1UO1y+eAUL5y8Srg8PD0d/y4EoV64slixbBF/fH5iU7GxDTten9X599fwqvL5s8XI+/mf5qmXQ1NKEtJKa4PzWzVvo1r0r1tivSnN9VFQURg4bjQaNGuLlm+d4/uoZIqMiMXnS1BT3G2s9Btt3beP5nUsWLsmj1hNCSNYtWLwAVatV5ctrV6/D/bv3afcRkk/IysjC2Lg8KlepDBvbiXxmzpfPX6a4z5vXb4Q903169sW+PftTpKZMsZ2K3Tv3oHf3PhjUbzBepPH4cVYT0LVTN6xavhpxcXFptmX/3v08NmJBa0a0tLV4m9nFwMAA8goKwutlypaBuIwYNRxLVyxB46aN0ahxQ0yZNhk3b9wSrr9y6SrUVFUxc84M1KlXBytWLcftW3fw3eu7WNanh2VjLJi7ENev3cDxU0dRsqQhpJnUVGuZOXsG/3v1inOa668734D/b39MmW7He8jV1NQwYeJ4jBw2Ct7ePnxHs4N0wKABKFqsKH76+cF+LeWcE0Kkj5KSIrZsd0An884ICw2Du/snNGnWRNLNIkRiwsKj8O5j7qaEZKZKRUOoqymL9Jg3b97ysSOGJQ3x+/dv4e3Gxsa8V5phqS4L5y6EhoYGuvfsxlNTzpw6Cx0dHcxbOBfXrl7HuDHjcP/JPcjIyPC0jT49+sJ28iSMthqJ+/ce4MypM+jTt0+KbW/e4IBLFy9j/+G9PCaSBvLy8imue3h4oESJEin2V63atYTXixUvxvcd+zFiVMoox+vTC8xnTZ/NU1yOnToCfX19SDupCc4z88rtFUqVMoKurq7wtjp1a/O/b1695sF5ZGQU6tYwg7KyEhIT/6TbC58kKjKK98gnocFZhJC8wr5INmxeD3k5OQrMSaHHAvPW3ZdKdD/cODMb9esYZ3o/VgmO9YjHx8fj189fGDlmBGrXqZWic1FJWYn3SjPsL0vxOHv6LA/OmdKlS2HW3Jl82bSqKbZt3c6fiwWbu3fu5fcbZTWSr69RswbP5U6OpWc8e+qKIycO88Hm4ubp4YkRQ0elu37u/Nlo2bplhs/x7es3nra3frO98LbQkNBU6SRaWlrCvPGcrk/v/WI597v27sgXgXm+Cs6DgoKgraOT4jb2BrFfmYGBQfy6lfUYDBk2mCf5s5n52LqMXLngjLMnzqe6/buHL0IDIsT8CgiTmJCIr+4Zn34ipLAcn2VLCr686X+CFPbPT9/vP6WiDV/VFTO8j5/PbygrK2P+vAWQl5OHnp4eFBQU+Pvy64c/oqNi+XJMTAwOHDyAly9fIjQ0BNHR0dDU1OTrfvsGQEtLJ8V7qaighI9vPyM6LA4f331Eq1at0nyv2WOfu76Ay5OnOLD/IIJ+hvCLKH77BSA2Ji7DYyk+7g9/jenR19VP9fjkx+evX79gM2kiBg0chDKG5YS3x0XH4VfU7xSPZTFbWFAEvy2n69N6v9TU1DFk8GDYjLfFurX2MDExgTQqY2KU/4JzlsoSFxeb4jb2q5VVOpCTkxXexv5p2CUrzC3aoXnrpil6zhfOXAajcsWho5vyhwARD/bPk/wAJESaSPr4dP/oznMn2ZgZQqTt+MxNuiX0eM+1tKe1ePt946kbzdukTkP76KEHJWUF/h6tWLYSX795YPb8mdDV1cFTl2c875yt03+vC2UVxRTvpaysDAzLFEcZYyMYliqBxCIJab7X7LGsl56ldixashBHjh8SeWCj/mtdKCjKZ3gssZ7zhYsWZNxzXrNlmsfnT7+fmDZsCgYOGcAHhiZXvVY1XHO+Jtw2y15g6UBmjevw23K6Pq33i+3byTNtoa6thukzpuHw8YN8vIA0yzfBefESxXnSf3JJ+V3FihfP1nMqqyjzy6VzV3DJ6SqVNCOESMzli5dhZzMFRYoUgdOlszCukPnpdUIKChYUZyWlJL/w/u6D2nVqo2GjBryU4KoVa7L82I6dOvDKc527WqBsubI8B93H5wdatGwuvM+U6ZP5INGB/Qbh4NGDPLWFzZ9g3qYjtu5whEnFnPUOszzupJz5tBQrVjTN21klG1ZNpVvPbqkCc6adeVusXrUGz54+Q916dbF39z6e6cBKYItjfUZGW41CTHQMBvYdzHPPpfkzNt8E5w0aNsD6tRvw4f0HPvU1c/P6LT6hR63aNXP03B27mvMLm7jI1oqK+xNC8p6+gT7/smVnBK1GWePcxTNQVVWlt4KQfGjo8MEYNWwMTh4/yYNmVr0kqzp06sAHiXdsZwENTQ1oaWnyKnT/YhVLFs5bhCEDhuLAkX0IDxPUQNfV+39sXnaxVJ2knHlRbHXYxnvdnc6e55ckN+9e53/ZLMnzF87DoH5DoKKiAlk5WWzdsUWYhpzT9ZmZMGk8fz/YD4hjJ4/wHz/SqMifjGb7yUOsF5wl9D+8/wDzZi/AhStOUFJWRokSxfkbwAywHMjzy+fMm4Xg4BDMmjEbgwYP5L8gxSEpOLffuorSWnJJQT4tS/I/SR+fu3bsxuIFghKwrNdso8MG3pNOiDQcn0SQRsHSNtIqPxgREYHg4GAYGgrK9LEgkFWZYxXkkpbZQHBW9pANbCxh+H8VE1aLm11nQXES9kM9wD+APz5JWo/98tkDevp6uHXjJl6+fIUFi+Zl+FaFhYXxNN70qpvk5PhU01Hm8dm//g302X5k+4NlRcjJpe4njsrh+szeL48vHlBTV4eBgXQOEJWa4HzT+s04c/psqttZvUx2WijpoNxovwkPHzziB7BFl04YOnxIln8xpSd5WktEeAQF57mIvlyINJP08ck+jsdbTcDFC5f49YVLFvBB7oRIw/FJpFtQYBDPJkjq0MxrdHwWwOBcGlDPee6jf14izaTh+GS9Wl07dec9O2zg2bFTR/kAMEKk4fgkJD10fIpPpl3O7HTJjWs3cO7MOdy5fRe+P3zFuHlCCCHJsdkG2YAuVnWK5aCPGzMeAQEBtJMIIaSQSDNRx8fHBwf2HcTpk2d4Ufx/lTcuD8t+fWDZzzJXit/nNarWQgiRJqzSwvJVSzFpgh18fX1x9PCxNCsfEEIIKeDBOeulsV+zHrt27oapqSlGjR6JWnVq8qlXWdUANsvS169feb1O9mXBZn6aOmMKBgzqj/yMqrUQQqRNtx7d+OAuNvvxiFHDJd0cQgghkgjO2ShjDw8POF08i4qVKqa6Myt0z0b3Nm3WFHZTbPnAzP179+f74JwQQqRRZlUXCCGEFPDgXF9fn9eLzKpGjRvyCyGEkNzHpqmOjIzk5cMIIYQUTPlmEqLcRDnnhBBp9+b1G4wdPQ7a2lo4ceY4FBUVJd0kQgghkqjW8uvXb9StaYaCjOWcb95ljyVr5ku6KYQQkqYb12/iu9d3vHJ7jUXzF9NeIqQA2bZlOw4fPCL2+WNOHj8l1uckEug5Z7Nbbd+6I8UdIiMi86gphBBC0jN+4jg8e+qKe3fu4dCBw6hTtw569OpOO4yQPPTyhRvmzprLl+XlFVDSyBBDhg1Bnbq1c/S8Pt4+0NbRzlIQz8qt9h/YL9P7ent78+ntRbVvz35eqY8V/JBGkZGR2LNzDx/3qKauhl59eqFtuzYp7sNKf+/dtRdRUdHoZNEBg4YOEuv6jPZXTEwMZk6dxWeanz1vVrZmeU7Rcx4REYntW3bwgDzpwqY+JYQQIlmysrLYsNkeJf7mm8+aPhsf3n+gt4WQPBQeFoavX7/x2ctZ4FWqVCkMsBwIb2+fPNk+mxm9dZtWuboNVr712zcvSCvbiXY8aB47zgotWraAzbhJcL56Tbje7aUbxoywQqs2rTBs5FBs2ujAy4OLa31G+ys6Khojh43G79+/MXmaXbYC8zRzzlXVVPkBlzyt5crlqyjIKOecEJIf6OjowHG7I3p374Po6GiMHWWNc5fOQkMj/883QUh+IScrh+o1qvNl1mN+9MgxvHB9wcuestSUI4eOQEZGBiWNjDBy9AjUql2TT+jIetwPHNnPf2gzb968xZqVa7D3wJ5U27jufAOnT57mMwa3btsaQ4YN5oHeBaeLwp5zNsH7ru27cOvmbZQwLIE27drg/LkL2Lxlo/B5WC/uyuWr8PK5G8qWK4NpM6ZCS1tL5NecXnuSv14dLV1MnDyBv96ktBp2NoDNnZPW9j9//gLHjY7w9vFBrVo1YWM3ESoqKpm2ZcOm9VBSVhJeZ50UVy87o137tvz6/r0H0b1nNwwaMpBfDwkOxpbNW4XXc7o+PSz7ZMSQUVBRUcaWHY45GheUoudcR0cbh4+l/HWgr6+He4/uoCCjnHNCSH5Rs1YNzF0wmy97en7FtMnT+Zc0IQWB67PnmV4SEhKE92fLWXlMcrGxsRmuF8VXz6+8ilLSGS3Wq8161RcuWQiz+vUwuP9gnvJQ3rgc/Hz9cO/ufeFjjx0+hjJlyqR6TjYj+9xZ89C+Y3uMHjsKZ06fhePmLcL0l58/f/LlrY7beIrb8JHD0KhxI8yZORfuH91TPNeu7bthYGCAibYTeFuXL10h8mvMqD3JX2+16tWFrzcprWbF0pXpbt9q5Fj+o2LKNDsea25cvylL7VFKFpgzbCxO0aIGwutvXr/maX9JzOqb8c9K9sNCHOvTEh4ehsH9h0JLWxNbd27J8YD9FD3ncnJyfGa65NgvIzaNNCGEEOkwaMggHlCcO+OEK5eu4vjR43zGZkLyu55de2V6n3ef3gh7WFnPcFYe89XHQ7gcEhKS6jHJ12eGBWmdO3RBXFw8DzgnTbZBnXqCYK5osaL8kvRDmlVZunzpCu9p7mXZC6dOnEKLls15u53OnceBw/tSPf+mDQ6Yv3gezDu0F5a5HjZoRKpZgg/uP4QlyxejZasW/DoL2tnM7sl17mqBYSOGCq+zIFtUGbUn+evVUtWB708f4evNbPu/fv1Cn769Uap0KR4Asx9N2enRd3V9zn8gJAkJDoWW1v9nB7S1Bbn8wcEh/KxDTten5c6tu1BTU8XOPduhoKCAXC2luGblWkyZPjnHGyGEECI+rNNk+aplePf2PapWNUXnrp1p9xKSR5RVlHkwyPKetzhs4YNEk/j+8MW2rTvw4d0HRESE4+fPX3xgINOrd0+0bNoaISGhuHv7LvT09ITpMcnPBHh6eGLDuo3Y6rANf/AHCfEJ8PPz4wF9kvj4ePzw+YFKySaMrFS5Uqq2sokjk7D0t/CwcL7s7++PYYNSzjzMeosXLJ4vUnsCAwKFrzcwIAjBIUHC15vR9hn2w4LlZ1eoYIzGTRujR0/RBrg/eeyCqXbTsH3XthRzPygoKvC0v+QDSJmk3uycrk9LO/O2fH+MGDoKB47sg6qqKnItOH/39l2OnpwQQkjuYD2HJ88ch4amRrYHHREibU6dO5npfZIHSWw5K49JTlNTU+THpJdzXrlKJTRv1BI3rt3gudjWY8ajimllTJw0no/h271zD2JjBD3CBkUNUL+BGS44XeADGNOqtsTy0VnvrPX4sShdplSKdfLy8v+3QU6OB4DsLEBSYMpyo0XZB8l7m5m0eoUza0/y1xsaGI7LzpeErzczXbp25hcW/LP9NPLCJRw8eiBLj3V96srTYtZvtuf7NLnSpUvxMxpJ2POrqanx1BlxrE8Lq9yzYfMGjBgyAsMGj8C+g3tylHWSaZ3zwoANCB0/whZzpiyUdFMIISTLNLU0UwTmrJeL9agRkl+xAZaZXZIGVDJsOSuPSY6lHWS0XhSsN3jwsEFw3LxVGMj17N0TjZo0gmFJQ7x4/jLF/VkaBwtEH9x7gG49uqb5nO07tMPtW3d4Tzj7EVC6dGmexsYGXSbXpFlj7N0tSIthvbaHRKiTzgJr9tzJL2XLlRW5Pclfb9GixVK93vSwqiY7t+3kn1dsu6zn2d39E1/31OUp+vbqn+5jWTWVUcPHYPW6VWjeolmq9e3M2/H0odDQUD4eZ8/uffy2pM/KnK5Pj5KSInbuFZQjHzVsNKKj/z/TISoKzmlAKCGkAAgICMDg/kOwZtVaSTeFkEKF5Ve/ffOWB5WsOgsrrdiulTm6dOjKK7gkx3rXg4OCUc+sHgwNU65LMmvuLD7AsF6t+mjdvC1aN2+TIgdaeL85M/Hk0RM0rNsYjes35bngyX+4ZBfr+WaBZlbak/z1jrEaner1poeljrCUnzo16vHHjh87kQ8MZby+fecpQemZNX0O4hPiscF+A8/9Z5fkuez9BvRF5SqV0disCcxqN+ADRmfMni629RlhveV79u9CZGQUrEZZZSuPninyJ4Nh/sMHj8Du/btQWLDcKVurabDfuipFzhQRn6/u31HG5P8cNEKkSX4+Pq1Hj8Oli5f58vbd24RlxUjBkZ+Pz4IiPDycB48slSM5ViqRDQhkgyNZjWuWW80GOvr/9udntFhVkiTtW5tj5OiR6G35/6BUVm6QpcskDa5kWG46e3yZsqWFQfe/90tMTMS3r9/49QvnL+L82fO8XCPDaq+zswQGBvrC3mpPT08eeKaHPZ9lz75o0apFqgGoabWHSXq9iTFFoKatLHy9Wdk+Kz/IcufZWYakQb7Tp8zgg2Y7dOqQZhtZRZrkOeEMSzspV75citvYvmLjAsqXL5dmr3dO1ydhVXhYEM7e7+Sv68vnLyhdpgw0NUUvdUvBeTIUnOc++nIh0iw/H5/sC6JT+868B11dQx0XLjuhdJnSkm4WEaP8fHwSATZ4dFC/QXjs+ijHgwZZkMoqxphWrcJTMFgPdkeLjnxynux4eP8hpthOhYqqKo6dOgJdXV2JHJ9fPnugXPmyhXosTYZpLQuXLMi7lhBCCMm2YsWLYaPDep4HGhYaBqtR1rynihAiHWZOm80D83ETx+U4MGf09PUwY+oMtGjckqe2FC9RAkOHD8n285lWNcWhYwdx9cZlkQNzcSpvnHFPdWGQYbWW5CVwCCGESDdWjmzyVFusXrkW79+9x7w587Fq7UpJN4sQ8jc/23q8ldhiKzZj8PnLTjwnmlWGYddzOsCcXYiUB+dJ2GxPof/MjCQnK4syZVPPbEUIIURyxo4fi+euL3Dj+k0cP3qCV6KgCYoIkTzWI5wbqCO1kAXnLk9cYGczBd7fvdM8nfLspQsKSinFS05X+UAIQgjJz1hay7oNa2HRoQvvUZs7ez5Mq1XlkxURQgjJ58G57QQ7PqUqOy3KRiGneKDc/8Xw87uOXc35JWlAKCGE5Gfs1PSW7Q7o0bUXTExMoKkherUAQgghUhacs5G/AQGBWLN+tVjqZhJCCMk7VatVxcEj+1G9Ro0UNYsJIYTk0+CcjSSWV5DnszdRcE4IIfkPO/NJCCGkgJRSZAF5j57dsWLpSpoOmhBC8rm4uDgsXbQMDx88knRTCCGEZDfnfODgAXxQERvxn3zWKkZXVwcnzhzP6OGEEEKkhNXIsbyCy5lTZ3DhynleF50QIpqJ42wwcdIEGFcw5tc/vP+AtavtMX3m1BS3OW7ego0OG3Dk0FFe5rBL1865uqvZrJxnT5/jP77V1dXQo1d3VK9RPcV93rx5i0P7DyM6KgodO3dE23ZtxLo+udMnzyDAPwCjrEby66zgxpqVa3nHr91U20JfxzxHkxDZjLeFvr4+evftjY6dOqS4tGrTKtMnJ4QQIh0s+1vyv/7+ARg/dgLvSSeEiObXz9+4feuO8Pqd23fx+NHjVLexae6ZmrVqoIpplVzfzROtbXhg3qBhfWhoaqBX9z549PCxcP3nz1/Qp7sldHS0UbN2TdjZTMYFp4tiW/8vd3d3uLm9Ev5wmDJpKt8vw0cOo8A8Jz3nYWFh/Nffk+ePeIBOCCEk/2rXvi3GWI/GNsftePbUFSuXrcKc+bMl3SxC8pX6Dc3g8uQpn1CIcXnsgkGDB6a6zayBYLzHyxduvOfc2Lg8v+720g3nzjjxGKt129Yw79Ce375/737o6uohIMAfL5+7oWy5shhlNSrLg7kXLVuYYlbP379+87NkDRs14Nd379iNtu3bYOqMKfz6nz9/sHmjAyy6dBLL+vSwcYuso9fH2weHjx+CpiZVjspRz7mKigrU1NWgp6eXpScihBAi3aZOn4L6Devz5Z3bd+HShUuSbhIhKbD0BxbQsUtac48kX896ZEVdz4LKjNZnpn59Mzx98pQ/D7uwYHv4qGF48fyF8LZnz1yFg7HZTL1fPn/hy7du3sbwwSN5mnC9+vWwatkqHD54hK97++YdZs+YAx/vH2javCmuXL6KVctXZbldyQNzJjQkFOrq6sLr7EdCo8YNhdebNGuCjx8+IjIyUizr0xIXF4uxo8fh18+fOHh0PwXm4ug5Z3lBlSpVxDXn67zHhRBCSP4mJyeHTY4b0am9Be9ZmzZ5BipVroRy5XNn5kJCRPX4vgse3X/Cl+uY1UKLNs1SrH/98i2uX7nJlytWMYFFtw4p1nt8/opzJ8/z5ZKlDGE5sFeK9T99f+LQ3mN8WVtHC8OthojUvtp1aiM8PByf3D/x4L6kkRHvxCxevJjwtqjIKNSuXSvVY1nO9ex5s3g+OFOhQgVMmmCL/gP78estW7XAzDkz+LKuni6WLlqK7HB96spTSJwunRXexuZx0UkWwOvp6vIfEoGBQbwzNqfr0+J85RqfI+feo7tQU1PL1msprNINziMiIvgvMevR49C+Q3sYlSqZYr2aqhrG24xDQUAzhBJCCgsDA31s3rIJ/fsM4EHG2NHWOHP+dLpfsISQ/ykpK6Fa9Wp48tgFf/4kwqx+PX573Xp1hbex9ex+ybGg3f2jO86cPotrV6/hD/4gLjaOz+KbNP7D2EQwoJRh8VdoSJjIu56lI48ZaYXV61am+NEtJy+HuNhY4fWYmBj+V15OTizr09K8ZTMEBQVjiu1UbNnhCHn5gjN5ZW5Ld6/GxsTiyxcP/uayX4Pskpy2jnaBCc5phlBCSGFSv4EZps+ahmWLl8P/dwC+en5DFdPKkm4WIfko79wFiYl/0K1HV34bC9IvXrjEb2P/X2llI7D88TZtW6eolNSnXx/IyAgyjIsUKZLiMaxnWhSfP33GoP5DMGvuLHTolPKMQsmSJeHt7SO8/v37dygqKUJPX08s69OipqaODZvWo7/lQD5gddOWjfzsHclcunuJBd/ON69k4SkIIYTkN6PGjOQ95/0H9KOyikRqNGhiBrNGdflyUtCaXLWapjCtXjnNYJYpZ1wGNtPGpbu+aPGiGa7PCpZPzkoFFkERLFm2iN9W16wuFsxdhMQ/iehtmTKVJkmz5s34wMghwwbz67GxsTy3PCsTPb5ye4VdO3Zjw+b1aa739PDEgL6DMHmqnTBtJrlWbVrizKmzfNuKioo4evgYT6NJ2nZO16dHU0uTz1Tct3c/XuFl/Sb7NN9XkhL9hCGEkEKIBSZ2U2wl3QxCUmCBW0bBW07Xs+M+p723devV4aUSWWYB68hkWN65iooyvn3z4uvTMm/hXIwZORatmrZGCcMS+PLZg5cWzApPz6980Gh6bCdO5mkybC4DdmEqV6kk/B8fNGQgrl52RtuW7fnAzN+//HHslGAwqjjWZ4Tto0PHDsKyZz9Mmzwdq9etonKKmcjWEcoOKLaDT507kZ2HE0IIkUKsbnHjJo2EAQchJDVWBWXPgd3Q0EhZFnDthrW8RGLywY/9BvSFvIICX2ZVWk47neRpwiy4r2xaGTo6Onzd4KGDeXCfhI3zW7l2hfD6M5dnGD12VLpvx7QZUxAWHp7iNjZoM4mysjJOnDmGF64vEBUVhTr16vDbxLX+Xz179eD3E7ZFTw9HTx7Gc9cXCAwMTFVdhqRU5E86SU3+/v5o1rBFWqv4QIAaNWvwg6wgYaORba2mwX7rKujoCv5hiHh9df+OMiZGtFuJVCqsxycrPzd31jwcOnAYzVs2x579u+jUsxQqrMcnAZ49fYaatWpKdc42HZ/ik+67zKqxsFMwybE4/tu3b/wDfNJkGzE2gxBCiKSwNAA2kI25c+sONm3YDBvbifSGECIlWDUYUnikG5yzMkB9/073/C9TU1Ps3bUXzZo3zc22EUIIySPzF83D61ev8eb1G6xfuwG1ateiz3hCCJGAbA2ZrVmrBh8ZTAghpGBgZd62bHfg1RXYWVKbcZPg4/N/6TRCCCFSHJyzwQwVK1eENHrz5i0uX7wMP18/STeFEELyFaNSRrDfsJYvBwUFwXrMeOFkI4QQQiSc1sJG2R4+eCTNQZOsvmWvPj15zU2GzSzHRiRLGqsg8+7te16iaKrddGzbuQWNmzaWdLMIISTfaNWmFcZPHIfNGx3g9sINSxctw6KlCyXdLEIIKTTSDc4jIyOxxWFrmuuKyBTBqZOnhdf19HSlIjjvaNERq9au5MtbHbfx4v4UnBNCiGhsp0zCi+cv8OD+Q95JM3T4kBRTgRNCCJFAcM5qUD576YK89PKFG44dOc7LOG5y3MhzIP8t93Xy+En+hcFmqOrUuROat2gmXN+iZXPh8pvXb2HRpVOetp8QQgoCNuvfRscNGDFkFObMn0WBOSGE5CGpmUN1nNUEzJs9D3Fxsbh29RoSEuJT3Wf6lBlYu9oetevURsmSJTFq2OhUqTdsINOShUthXKE8zDu0z8NXQAghBQfroDlz/hSVcCOEkDwmNdXsZ82dAUNDQ1y94oyTx0+lWs9yyU8cO4mjJ4+gQcP6wtq8K5evQs/ePXhPemxsLM87r1qtKkaOHiGBV0EIIQUHm+o8ua+eX1G6TGmaepsQQgpDzzkLzDNy+9ZtPs1t/QZmwts6WnRASHAIXjx/ya8PHzwCAf4B0NTU5IH8o4ePM3zOqMgoPsA16RIcFCymV0MIIQUHOyPJzlK2a2WOvbv3Sbo5hBBSoElNz3lmvnt5o1jxYil6bEr8Dei/e33nvemlSpdCTEwsHj96wm+vERWJho0apPucVy444+yJ86m35eGL0ICIXHkdhV1iQiKf4pcQaUTHZ9piYmOw1WEbPzvJ0gYNdIrC1LRqHr87hI5PIs3o+MyZMiZG+S84Z18KysrKKW5jA0bZwKWkOrzLVi4V6TnNLdqheev/ZzllPecLZy6DUbni0NHVEVPLSXIsME9+ABIiTej4TN+ufTvQtVN3Xslr8ZLFuHDVCXp6enn47hA6Pok0o+OzAKa1ZEZdQx0hISEpbgsJCUVCQgJPY8kOZRVlHoQ/vu+CedMWY83SDWJqLSGEFCwVTCpgxZrlfNnPz4/PIMo+fwkhhORycH7x/CV079xTOCgzICAAXTp2haRVqVIJXl5eCA8PF9727u07/rdylUo5eu6OXc2xeZc9lqyZn+N2EkJIQdWla2cMGTaYL7OStuvXUocGIYTkanDOBv3MmTkX7Tu0w60bt7Bz204kJCTixw9fSFrbdm2hIK+AfX8HI7Ga56x91apXhXEFY0k3jxBCCoXZ82ahZq2afHnThs24ef2mpJtECCEFSoqc86CgIJ7bPdpqFL8+wdoGCooKedKQI4eO4uaNW/j16xe/PtHaBjKysphgMw7Va1SHto421m1cC7uJk3m5xdCQUMTFxWHvwT053valc1dwyekqD/gJIYSkT0FBAY7bNsPCvAsCAwNhazMZN+5co/xzQgjJjeA8Pj6B52Gz+uHMWvvV6Nu7P/JCzVo10hyEWbxEceFyu/Zt8cDlPl65uUFBQRG1atfkXxQ5xdJa2IWVU7S1mpbj5yOEkIKshGEJbHCwx6hhYzB95jQ+YREhhJBcCM7V1dVgYztReF1JWQmbtmzE5YuXkdsqV6nML5nR1NRA02b/V1ghhBCS99jn8L3Hd6Cvr0+7nxBCcis4Z6UKBw0ZmOIORkYlhWkuBRWltRBCiOj+DcxZ9RZW3pYQQkgulVJcs3ItCgOq1kIIITnj+tQVbZq3xbu372lXEkJIbgXnSaUKCSGEkPQEBQZh8ICh8PT8CuvR1ggNDaWdRQghBX0SIkIIIdKJVdOaOWcGX/769Rum2E7jpXkJIYSIjoLzvznn40fYYs6UhdnYhYQQQgYM6o8ePbvzHeF8xRk7tu2knUIIIdlAwTnlnBNCSI4VKVIES1cuQcVKJvz6ymWr8OSxC+1ZQggREQXnhBBCxIJV/Nqy3RFqamq8csv4sRPw66dgYjlCCCFiCM4XLlmQxachhBBCgHLly2GN/Sq+K37/+o3x1hMRHx9Pu4YQQrJT5/xfRqWMUBhQnXNCCBEf847mGDVmJM87r1DBmPeiy8ll+HVDCCHkryx9WrLTkqFhYSluk5OVRZmyZVBQ6pyzS2BAIGytpkm6OYQQku9NmzkVDRs1QKs2rSTdFEIIKTjBucsTF9jZTIH3d+9U6/T09fDsJQ32IYQQkpq8vDwF5oQQIu7g3HaCHczqm2HV2pVQU1NN+UA5+exsjxBCCp2EhER88/KDj7cvIiKikJAI6BoUhby8LOTl5KCpoQI9XTUoyMtBXr5gpn/4+fph/boNmL9oHh84SgghJG3pfguwGd4CAgKxZv1qyMrKpnc3QgghABITE/HD2xcvXn6En38U3nkE4r27D777BMDHNwim5TTQo1Vpvq++eIdh/4UvKfabvrYSxltWQmRMAmLjZZGoUhQm5UugdvUyqGxiCDm5/Ps5/P27N7pbdIe/fwDi4uL5gFFWepEQQogIwbmqqirkFeT5KHsKzgkhJG1fvX7j0vWX8PzwDsW0BLc9feuPC/dSpgPGxiUKlxMSU8+eqaYs+DhWUZRFeEQUHA5cFa5TUVZA7Rpl0bR2cdQ3q4ZmTapBQSH/nL0sWdIQNWvXwnXn6zh14hTq1quDfgP6SrpZhBCSv4JzFpCz2d5WLF2J2fNmFeiR9lSthRCSVazyyA/fADhdfYmTTk/w9IUHv71KOU1YtivLl4vrKUNfTwPVKhuhTCl9GBnqQl9THpFBvjyobmdSCSNG90dcXAJi4+IRFByBH9+/Iybou2AbkIOWhgqCQyP59cioWHxy/4a2NZXh9vgebl69Ds8gJVi0rQ2L9rV5Wow0Y73ka9evQecOXeD1zQvz5yxA1WqmqFa9mqSbRgghUqfInz9/Unfh/PXJ/RMsOnSBnKwcihYrmmKdrq4OTpw5joIkqVqL/dZV0NHVkXRzCqSv7t9RxqRwlOgkBev4jIyIxJXL9/Dp/Ue89QjE6RvfUqyvVtkQPZoZQF1TC8YVyqB1u6Yip27ExsYiKCAIRWRkoG+gB9+fwXj64guevfDAL59vMDFU4Pdz9wrFoUuCHwUKCnJo16Iaenapj05ta0JFWRHS6u2bd+jRtSdiomNQ0qgkLlx2gpb239MNJFP0+UmkGR2f4pNhd7jNeFvo6+ujTbs2UFNNOSBU9Z8BooQQUlA9eOIOxx3nULucAljqt2k5TVx9KIdyZYujd5f66Nm5Pkob6fG8cxmZ7E+8rKCggKLF/+8IKVFMG1071OUX9/ef8PyZG3y8f0C/WDGUKhkCL+8AxMbG44LzC7x8+RF3nG9AS784+vdtiyoVS0LamFatgsVLF2La5Bm8CpidzWTs3LsjR/uMEEIKTXAeFhaGD+8/4MnzRzxAJ4SQwubFq69YsOokbtx9y68bWVbiAzdZz/ax7WPQonndFPfPzSDTpHIFfomNieXXF8+Xh6ubJ0+tOXXeBWamGihbgnWahGLRom0IjFHB2GFt0MW8DmRlpSf47dO3D1yfPcexI8dx88YtOG7agvE24yTdLEIIkf7gXEVFBWrqatDT08vbFhFCiASxTL+XL95h74mn2H34Lr/OaGooQ6d4KTQ0M0Y9s5p8wLwkKCgKUluYujXL8cu8KV2xdcNOYVvfegTD08cbD13cYVy2KCaONkf/no2hpCQdg0gXLl6A16/e4N3bd7h79x6sxo0p0OOaCCFEFDIZDQitVKkirjlfF+kJCSEkv4qMjMTmDXtx88p1eLp/5MGuqooipk3sjDf3V2OaXT80alJPYoF5Rp0pA4f3Q7WaVaGjq4vB/dvBsLg2X/fZ8ycmztyHtt3mwH7LRURGxUi6uVBSVsLWHY4YO94Kh44eoMCcEEKSSberIiIiArq6urAePQ7tO7SHUamU+YtqqmoF5lQkVWshhPwOCMXWvRdQ2kDwsdi4pgEMDEti4cx+MCwu/QPEDYrqo13H1vwHBRuIajOmA06cewz7rZfx48dvdGpUDMHe72E56DE6WTTH8P4t+GBSSSlVuhSmz5wmse0TQki+q9YSFBgEy1790n2gto42jp08goKEqrXkPhrNTaTR1ZtusJqyG4GBYRjdwwTF9JShrV8Mlv0s8v3gdzZIdc/OEwj29+PXfwdFw/H4BxiV1MOsSV3Rt0cjqchJj46OwY1rN9Cpc0dJN0Vq0ecnkWZ0fIqPXEbBt/PNK2LcFCGESF/gusz+HFZscBLelqCkj/adG6NqtUooCNgg1Ro1KuDxgyBewtDdJw5sDqRv3/0xZvIubNlzHasW9EcjMxOJtdHHxwdWI8fyPPQ/fzbBoksnibWFEEIkLcPuEjY7qJ+voLclCetoZx+khBCSn71yew+riRuFgbmujho2L+6PdctGFJjAPEnd+rUxcuxQtGzbHCcOzMSezVYoX8aAr3v55huGWW/A8Alb4P0jQCLtYyUkf/78xZenT5mBz5+/SKQdhBAi9cH5pg2bceTw0RS3sVzGBXMX0UBRQki+dePaAzhfuIoy+okw0FZCrWplcP/iArRoWLCC8n8HYdauV5MP9me12Z9eX4oV8/qimL4aBnUqj6LKoejcZzFWbnTitdPzEivX67B1E28bG+80dpQ1/0sIIYVRusE56yHft3s/RowanmrdqDEjsHvHntxuGyGEiN2z55/w+P4T3tGgKC+L4T2q4OrJGTAy1C1Ue5sNBh0/sj3WzDSHsqIs9LSU0K1FSaxYfxaNOszH42ef8rQ99czqYebs6cLZqWdOmyUsDUkIIYVJusF5aEgoYmJioK6unmodK9Xl5eWV220jhBCxunX/HToPXIcDl74gNi4RkFHABJshUj3lfW5iwW/xEga8x5r55BuPuPg/+PDpB9r0WIZJs/cjJDQyz9ozYvQIdOhozpedzp7HgX0H8mzbhBAi9cG5hqYGn+zi2dNnqdbdu3MPhiUNc7tthBAiNtduv0avYfYIC4+GX0AMipWtjHE2w6CppVFo9zI7e1C/UT0MHjkADZqYYd/2qbBfOgga6sp8/c4Dt1Cn1WxcuvYyz9qzat1KlCtXll9fvGApnru+yJNtE0KI1Afn7EOyV++emGg9CU7nzvNBoJ4enti9cw9Wr1iDvv0s87alhBCSzYosrFRi31EbERMTD2UlBZzYbYNhg815HjZhZ0O10bhZQ96DPmpQKzy7sRRdOtSBgpwMmtXQwrgpWzF2yi6EhkXl+u5iZ2u37HCEsrIy4uLisGThUkpvIYQUKhnOQDF1+hT4/vDFRGub/x8gJwcr6zHo0at7XrSPEEJyFJjv3nEMLs8/Iz4ugQfmp/bZolkBHvgpDiWKaePwtvHYse0oQgN+wqS0Bi7df4cG7edi69qRub7/KlaqiGUrl+Lk8ZPY4LCedxYRQkhhkWFwznqVHLc7wOOLBz68/wA5eXnUrFUTBgb6KEhohlBCCmY+9aEDZxES8AsVS2ugr3lZ9BvUkwLzLAoMCEJYoKC8obycDBTkZeDl7Y+OlisxbkQ7LJjek//YyS3de3ZD1+5deJ12QggpTLL0qVeufDl0tOiIdu3bFrjAnOnY1Rybd9ljyZr5km4KIURM3n7wxr2Hb4XXG9Q1ocBcxFQXy0G9+PijMuVKY9TI7tDSUOHrHHY5o3nnRXjvnrtzXiQPzNmPrR8+P3J1e4QQIg2oS4IQUuD4+Aai51B7HLnsgcevf0NVUwdDhvemXlgRGZYsgcEj+qND53aw7N4ILteXoE3zqnzdu48+aGaxCPuP3c31nPDIyEjYTZyMju0s4O1Nk+ARQgo2Cs4JIQUKG7TYffA6+PgGgYWM5p1aY5RVfwrMs0lRSREqqirCXPQz++2wfG5ftKhbDG3MDDBxxl4Mn7gtVweLvnzhhrNnziE4OBjWo615mV9CCCmoKDgnhBQYCQkJGDVpO+/VZWZO6ooRA1sK63iTnGODMzu3qYSWdYuhbhU9DOtqjEvOrmjScQGeu3nmyi5u1LghJkwaz5dfub3G4gVLcmU7hBAiDSg4J4QUCDHRMVi7agfevf3Mr1t2b4BZtl0l3awC6f3rD8JlXW01xMUnwuPbL7TpuQx7Dt/JlW3a2E5E0+ZN+fLB/Ydw5tTZXNkOIYRIVXDOep2io+l0ISEk/5VM3LXjKGT/xGCQRXn0aGuCzSuHUQm+XGLeuR0aNqkPFRVljJ84BOuWDIaSojxiY+MxYcZejJ+2B9HRcWLdJjv7sWGzPUqUKM6vz5w2Cx8/fBTrNgghROqC84CAQFSvUgN9evbFujX2ePjgEQXrhBCp98z1A4IDA/iyrEwRDB/YIlfL/BV2LLWlUbMGGDZmMLS0NTG0X3PcPDsHZYwE1bz2Hr2Ldr2W4buP4D0RFx0dHThsc4C8vDyio6MxdpQ1wsLCxLoNQgiRquBcQ0MD4yZYQ05WFtu37ED/PgMoWCeESLWo6FiMn3UY2066w88/CkUNjdC8RQNJN6tQSD7DanXTUrh7cR46t62GLs2N8OrtNzTptAC37r8T6zZr1a6JOfNn82UPD0/MmTlXrM9PCCFSNQmRkpIiz+uDLRAbG4tXbq/w+OETPHn8BDu37cJG+01QUFTgExG1aNkc1uPHQprEx8cjPj6BLysqKtApbUIKgWkLDgsHgBpVqoG+A9rS/76EqCjJo209XQQFykJPSxFHrnii68A1WDKrDyaMai+292Xw0EFwfeaK564vMHL0CLE8JyGESP2AUAUFBdStVxfjbcbhwJH9ePX+JU6dPYH25u3wzOUZdu/cA2nDRvCztJzKxlXw7es3STeHEJLLTjo9EQ5ANG9VAxNGmUNOLsOJj0kueuP2FkGBwXy5dHE1VCithcTEP5i15Bisp+7mOeniwIL85auW4cJlJ1SrXk0sz0kIIdJCLrNBVu/evsPjR6z33AUuT1wQHhYO06pV0LJVS0ibhUsW8Eu7VuaSbgohJJe5ur6Hzay9wvrbW9eNoB5zCatjVgvRUdF48vAp2pi3Qtd++ugzYiPcP/viwPH7+PL1Fw5tGwd9XY0cb0tVVRVQTf2dlXxWUUIIyffBOZvljaWysED8yaMncHF5ysuTVa9RDWb1zTBgUH/UrVcHampqudIYtv1HDx/D398fHTt1SLMHLDAwEM+fvYCikgLq1auXIueREFI4+P8OwI3LV9G/XWmcve2F3ZvGQE9HXdLNKvRYj3aTFo1Q3qQcipcoxvfHzTNzMGScI27cfYuHLu5o0WUxju+2gWnFkmL97ti1Yzfu3L6LPft30dkTQki+liL6/f3bH107dYdBUQP07W+JkWNGolbtWjwXPbcdPXwMWx228hn9WEpKa/dWqT5gL56/hKl201DFtDJCQ8MQEhKCvQd2o3KVyrnePkKIdGC9owf2nuJVWYrpKWNUL1M0NjORdLNIMkmBOaOlqYJTe20xc/ERnLvwEN+++6N1t6XYu9kK5q1riGW/nTx+CksWLuXL61bbY9rMqfR+EELyrRTn/5SVlWDWwIxPkbxn5x5s27INe3btgeuz54iLE2/N2n+xcUJ7D+7BrLkz01wfEBCAaZOnY9JkG5w8ewJXb1xGzVo1MHkSfQgTUph88vDD3adeSEj8w3tMe1t2pnQWKScnJ4uuLcthTM+KMKuqj/CIaPQevgGbd14Vy/N37d4FtevU5suOm7fgmvN1sTwvIYRIPDhXV1fH8VNH8eqdG3bs2cF7ze/duYeBfQeheuWaGGA5EBvsN/IcdHFPVmTZzxJlypZJd/21q9cRnxCPgYMHCE+fjhg1nOfEu390TzGJEvvCZj8mWMWZjERFRiEwIFB4CQ4SDGQihEinhIREPrDw2mMf7D73GSZVq6Fs+VKSbhbJhNvzVzwPnenUxBBmVYvyz+kZi47yajvsfc0JVsDAYesm6Orq8ut2NpPh9c2L3hdCSMEZEMrSWBo0rM8vrKwiC3RfvXyFx4+f4PHDx9iwbiOKFi2KR88e5FlDP3z4CCMjI6ioqAhvq1ipknCdSUUT7N29DyuXr+K3dTLvjPr1zXilmfRcueCMsyfOp7r9u4cvQgMicuV1FHaJCYn46v5d0s0g+dThs0/wxPULX+7S3gzVK5uI9Xii4zN3KMgq8c4fNmEQC6Dn2DbB+HmH4eUTCMfd1+Du7oMVM3vyWUZzYtbM2Zg6bQrCQsMwfPBIOGx2hKJi7qdl5hU6Pok0o+MzZ8qYGAmX5bKS3/nxoztevnSD28tXeP3qDb8tIVFQTzyvsA9bLS3NFLdpamrwKZ1DQ0L5ddaTzi5ZZW7RDs1bNxVeZz3nC2cug1G54tDR1RFj60kSFkglPwAJySpfvyBs2nuDL5tWKoml8/tDXl68ZRPp+Mw9pSsY4e7N+2jZphkUlRRxp3YFWI7YCJfnX3D9/juMnxeLo7sm5mhgL/ts8f3lgzWr1uLz58/YvW8nVq5ZgYKCjk8izej4FJ9U32wsNeTtm7d48siFTz7EKraw4JeVp6piWgW9+vRE/Yb1efWWvMROW0ZERKa4jaWwsPZmt2dEWUWZXwgh0i0iPAIr1hxCeHg0v75x+RCxB+Ykd6moKMPcoq3wOiuneOHIVAyfsA0XnF/gsetntOm+FKf32aFcGYNsb8d6wlg8d32Omzdu4diR46hTtzb69O0jpldBCCG5L8W3W1BgEJo1ao6wsHDeI82qolj27cPTW+rVrwcNjZzXps2u0mVK4cqlKynq2Hp7e/O/pUrnLOf00rkruOR0lT83IUT6HDl8HqV0EjC8WwXIqRdD/TrGkm4SEQMVZUVsXNofVUopYM3uJ/js+ROtui/ByT2TULdmuWw9J/t+sN+4jqc2BvgHQFGJyu0SQvJxcC4jK4t+A/oJg3GWIygtWrRsjhVLV+LRg0do3LQxv+2C0wVoaWmhVu2aOXrujl3N+YUNCrW1miamFhNCxMH9wxeE+P/ky6WKqaJFu3q0YwuIAP9AnDp6BqpyMVgwvgkWbL4P/4AwdLRciUPbxqNti+zN/qmppYltO7fysytsPBIhhOTb4JzlcKdXyjC3vXn9Bh4ennjt9ppfv3zxChQUFfigzqLFiqJS5Ur8h4PNBFuMsRrNyz1u37oDS1cu4SkvhJCC6cTFl3j91h91KutCRV0LtetUlXSTiJi8evEakX/TFWUSorBlxUBMmHMUkVGx6DNiA7bbj0LvLvWz9dxsJmtCCMn3wXlUVBS8v3ujgkmFLD/ByxduvN54Tr179x53b9/jyxZdLHD71h2+XK58OR6cM8tWLkH9BvXw8MEjHpDvP7wPDRs1yPG2Ka2FEOnk/SMA67c5Iyo6FvFy6ti5vjvVNC9A2ID86KhofHjnji49O6GccVkYGhVH35GbeC10lo8eHBKBUYNa5Xhb9+/eh4eHBwYPHSyWthNCSG4p8ocVm/0rJDgETRo2Q+s2rdB/YL90B33GxMTgxrUbOLj/EPz9A+B88woKgqS0Fvutq6haSy6h0dxEFCNstuHYmcc8IH94eQGqVcndmuZ0fOY9Ntbn98/fKFpc0AnDPHfzRPch6xAQGM6vz5ncHdMnZn+yqeNHj2P6lJn88YeOHRRLp44k0PFJpBkdn7mV1qKliRu3r/EyVAP7Doaamhpq1KyO4iWKQ1VVFaGhofD0/MprnrNSWEOGDobVuDFibA4hhAg8ffGFB+bMkL7Ncj0wJ5LBBnAmD8yZ2jXK4uqJmeg+eC2++wRiydozCAwKx4p5fYUFAUTBOprU1FR5sYMJ1hNx8cp54RlZQgiR6p7z5H7//o0LThd5OcWvnt8QERHB64ybVKyIJk0bw7xjeygrF4wyhMnTWljJNuo5zz30y5pkRaB/IMZN3Y7zNz5CXU0JL++sQFH9lPMc5AY6PqUD+1q6cfUWAgJCsGr3U3z85Mtv79u9IbasGZ6tMppXrzhjzAgrvlzPrC4OHz8EefmcTXqU1+j4JNKMjs88CM4LI0pryX30z0uywmHjPkSHB8PTJwxlK1XB5Ak98mTH0fEpeayTxPnSdbx99Z5fL1ehPOz3ueL5q6/8eofWNXBgyzgoKYkeWC9fsgLbtmzny6PGjMTsebOQn9DxSaQZHZ/iI/r5QUIIyUVfPb/zwJwpa6iObua1aX8XIiwv/E/i/31GfxIT4HRwMpo3qsyvX77hht7D1yMiMkbk5546YwrMGgjGUu3YthOXL14WY8sJIUQ8KDgnhEgV59vv8OpTIBL//IGSmibKVygj6SaRPA7O21u0hUklY1SoaIyuvSygpaWG0/tsYdGuFr/Prfvv0H3wOoSFR4n03HJyctjsuBH6Bvr8+lS76fD44pErr4MQQrKLgvO/OefjR9hizpSF2d6RhJCcYyUTVzlcwakbXnB+GoQ+fTvTbi2E2KBPNjGcRfcOfLZqRlFRHge2WKOHhWASqocu7ugyYA2CgiNEem6DogbYvGUTf97w8HDcunk7V14DIYRkl+ijagogmiGUEOmwbe8N+P0SpLRMsu4GfQNdSTeJSEhSUJ4cGwi6afkgKCnK4/Cph3j6wgOd+q2C06Ep0NPJ+ozW9RuYYd7CuTAw0EeHTh3E3HJCCMkZ6jknhEiFkNBIrHO8yJfr1SqHjm1rSrpJRMr88PHFgV2HMKZfXQwf0ILf9uqtFzr0WYmfv0JEeq4hwwZTYE4Iyb/BeVxcHDw9PPHc9UXut4gQUigrdGze5oTAvykK86f1pJlASQq+P/xw8sgZxETH4Pb1uxg7oD6sh7fl6967+6B97+V8Rtns+u71HW/fvKO9TgiR7uCcBeXr121A7Wp10LJpa4weMYZ/ifbs2pt/kBUUlHNOiGS9fP4WSnE/MaBjOVi0NkWLxlXoLSEpaGtrQVNTgy/LK8hDVU0VK+f3w2Trjvy2z54/0b73Cnz77i/ynrt14xYsOnTh33FBgUG05wkh0hucL1m4FCeOncS8hfNw9OQRwQNkZNCzdw9s37oDBSnnfPMueyxZM1/STSGk0GFTLdy8fo8vm5TSQOeWxpJuEpFCSspK6NG3G4oVL4o+A3qiVBkjfnZlwfRemDO5O78PC8w7WIoeoAcEBCIkOAQ+3j6wtbHjnVCEECJ1wTnrNT925Dj2H9qH3pa9UK58OeG6mrVq4uGDR3nVRkJIARYQGIJv3oJBoImJf9C5W2tJN4lIKXV1NfQfaskD9CQsQJ9h0wWLZ/bm1728A9Cx70p4eWc9QO/Vpyf6DejLl2/fvIPNGxxyofWEEJLD4JxNY88+9Mob/x+UJ1FWVkJ0dHQWN0EIIek7dPIR9jh9wrZTH1HapDI0NLJedYMUPux76V+sp3v0oOZYNKNXsh500QL0+Yvmo2q1qnzZfu163LsrOJtDCCFSE5xraGpATl4Ojx4+TrXuldurFD3phBCS3brmG7Zf4csljUqgd+92tCOJSOLj43HhzCUcO3gSVkNaYuH07AXoSkqK2LLdgX/3sVSridaT8MPnB70bhBDpCc5Zbnkfy94YO8oaO7fvwmf3Tyw5FC5PXLBq+Wr0/3sKsCCgAaGESMbeI3fx63coX542oTNVaCEiYUH02RPn8enjFwQFBuP08XOYOKodFkzrKQzQO1quwnefrFVxMSplhPUb1/HloKAgWI8Zj9jYWHpXCCHSMyB06oypaNaiKR8Y2t9yIPz9A9C/z0D07tu7QNWHpQGhhOS92Ng4bNh2mS9XNy2F9q2q09tARE5xqVi5gvC6jo42ZGRlMGW8BS/HyXz9/pvXQc9qgN6qTSuMnziOL7988RJHDx+ld4UQIj0zhLLTfBsdNmDKtMl49/YdisjIoFatmnz6Y0IIyYmd247ArJIa4mOiMGWcBfWak2ypVrMqIiIieRGDJs0bCY+jqeMteM/6otWneYDe0XIlLh+fjpIlMp911nbKJLi9dEOt2rUwYNAAemcIIdITnLNcPv/f/ihVuhS/MOzDzsfHB4aGhnnVRkJIARPoH4jI0EDUMNHhlyZ1y0i6SSQfa9DYLM3bWaoUwwJ0Ty9BD3pWAnRZWVnsObAbcnIZfkUSQkjep7Vs2rAZR/45pcfrys5dhGvO13OnRYSQAu+q80NhD6eMvDIMiulLukmkAGKzibIAfe4UQR10FqBb9FuNn79CMn3sv4F5ZGQkIiIEM9gSQohEgnPWQ75v936MGDU81bpRY0Zg9449udowQkjBdcr5M/ad/wzPH+Fo076ppJtDCqAvnzyww3EPvL5+x/SJXTDbrptwJlGL/qvhHxiW9ef67IFuFj0wbfIM/t1ICCESCc5DQ0IRExMDdfXUNYd1dHXh5eWVqw0jhBRMHz79wJWbbvDwCYd2iQqoVr2ypJtECpj3bz7g3MkLvOf83KkL+P3Ln09UNNm6o2C9uw+6DlyD4JDILD3fVsetcP/ojovnL2Lv7n253HpCSGGXYZ1zBUUFPHv6LNW6e3fuwbBkwck5p1KKhOQdh13O/K+cnCyshrWhXU/EzqCYARQVFf4eZ3J8kiKekjm9F8b+Pebc3nihx5B1CAuPyvT55i+ah/LG5fny0kXL4PrsOb1rhJC8D87ZB1mv3j35RAxO587zQaCeHp7YvXMPVq9Yg779LFFQUClFQvIGSyU4cuohX+7V2QyGxXVo1xOx09XTQdfenaFfVB/9h/RB0WIGwu+1VQv6Y2i/5vy6y/Mv6D18AyKjYjJ8PjU1NWzd4QgVFRVeKGG81QQEBGStNCMhhIi3zvn0KahVuyYmWtugsVlTtGzaGssWL8fwkcPQo5dggA0hhGTVvn1OUJQXLE8Y1Z52HMk1JY0MMWh4P2hqaaa4nQXoG5YNRt/uDfn1+48/ot+oTYiJicvw+SqYVMDy1cv4sq+vL2zGTUJCQgK9g4SQPK5zrqwEx+0O8PjigQ/vP0BOXh41WZ1zA6qsQAgRjc/3H0CUPyb1r4JfwQmoVsWIdiHJVUkVgZJjAzplZWWwde0IRMfE4eylZ7hx9y0GWzvi4NZxkJdP/2uxa7cucH3qiv17D+D+vQdYv3YDJk+zo3eREJJ3PedJypUvh44WHdGufVsKzAkh2XL50l3Bh45MEZQppQ8ZmSx9/BAiNtFR0Th55AxevXjDxzzs3jgGHVrX4OsuXnuJETbbkZCQmOFzzJ43i3dSJZUbvnvnHr1DhBCxytK3Izt1x+q7Jr9ERWU+iIYQQpI8fe0Ln1+C6hjt2jehHUPyVEhwKA7vO85LK964egvfPL2goCCHA1vGoWWTKvw+py88hfXU3XwAaXoUFRXhsG0TtLW10aZta9SoUT0PXwUhBIU9reXjh4+YPWMO3F6+4lMjJ6enr4dnL11yu32EkALA4+svHD7/mqcUTLNuC2OTspJuEilkWPUxQFCjnAXf3l4+KF22FJSU5HF050R0H7wOD13ccejkA6irKWP1wv5ppsUwbIbssxdOw6iUEZ0BIoTkbXA+aYIddHS0scZ+FR+t/m/vASGEZMWuQ7d4YM5SWoYObJdu0ENIblFWVkL3Pl1wdP8JNGrWADVq/9/jraqiiJN7JqFz/9VwdfPE1r3XoaWpgjmT0y98ULpM6RTX2fFNxzUhJFeDczZV8edPn+H27gUvH0UIIdkRFR2LA8cEebksv7dUST3akUQitHW0MWLs0L+96ClpqCvj9H47tO+1nE+UtWKDE7Q1VTFuZLtMnzc0NBTTJk9H23Zt0bN3j1xqPSEEhT3nnPWMq6iqQFlZOW9bRAgpUE45PUFgcARfHj2ktaSbQwq5tALzJLraanA6NAWljQQ/IKcvOoJDJ+5n+pzWo8fhyqWrPA30/bv3Ym0vIaTwSTc4l5WVRZ06tXH18lUUdDRDKCG5Iyw0DN/fu6JjE0PUrWYoHHhHiDR59+YDnru84MslimnzAN1AX4Nft562B+evZjwj6NQZU6CgoIDo6GiMHWXNe9IJIUTsaS2sIou6hjrGj52I9h3aw6hUyRTr1VTVMN5mHArKDKHsEhgQCFuraZJuDiEFxp07LlCQL4L6VfXxR0aBBs8RqcIGht679QDPnjzn+eI6ejooU640ypcpCqeDU2DeewWCQyMxZNwWnNprm+6Pyxo1a2DugjmYO2sevn79xlNctmx3pBx0Qoh4e85jY2Lx/t0HXuP8k/sn3Lx+K8Xl3r3MT/URQgq3t68/Cpfr1RfUhiZEWiTEJ+CrxzfhgM67N+/zv0zVykY4uXcSVJQVEBsbj74jN+LZS490n2vg4AHo1qMrX2YpLju37cqjV0EIKTQ952zgjPPNK3nbGkJIgREXF48dpz9CS6UI2jcpg/oNakm6SYSkIK8gj269O+PgnqPQ09NF5x4dU/R2N6hbAYe3j0fv4RsQERmDHoPX4erJmahsYphqT7LHLVu5FO/evof7R3esWLYS1WtWR/0GZrTXCSEioSn6CCG54uqtV/D7FYoPX0NQv1lTKCkr0Z4mUkdTSxN9B/ZCr/7deRGEf7VpXg27NozhwTcb2NxlwBp89fqd5nOxymYsnYWVHmaT940fOwG/fqV9X0IIyVadc+blCzfcuHYDPj4/kJiYILxdQ0MDi5YuzOzhhJBCKql8or6ehnCKdEKkka6+bobre1jUQ0hoJCbM2Avfn8E8QL92ahaKGmimum9543JYtXYFrMeMh7q6Oh8UbWCgn4utJ4QUqp7zUydOo08PS9y7ex8Xzl+Ar68fbly/iXNnnBAcHJx3rSSE5Ct+P4Nx5eYrvtyvR0PIy2faD0CIVAkPj4Dnl6/C68P6N8fimb35sse3X+g2eC0P2NPS0aIj7Deug9OlszxYJ4QQsQXn69bYY6PDemzfvY33lB87eQT3H91Fvfr1UKlyJZE2RAgpPA4duQxFeUHu7mDLZpJuDiEi8fvhh0N7jsLp1AX4+f4U3m47tiPsxnbky6/ffUffUZsQExOX5nN079kt1czahBCSo+A8KioKAf4BMO9oDllZGcTGxgrz86bPmIrLFy9naQOEkMLl9y9/IPIXJg8yhVUfU5iULybpJhExYZVMoiNjEegbgu8f/ODh5g2Pl9748uI7PF/7wM/THyG/wxEbnXbAml/KK15yuorwsHDExyfg3MkLiIv7//UsnNELA3s34cv3Hn3ACJvtSEhIzPQ5HTdvwVfP/3viCSEkPemeaw4LC4eauuBXv5aWFiIjInnAzmYM1dXT5TXBpREbKf/m9WtUq14NlatUlnRzCCl0bt96wv/KycrAqIQG1TbPp8KDI+H1zo9ffnsF4vf3IPh7ByMuJj5Lj1fRVIJOcU3oFNeAQWkdGFYoipImBtA0UJPq+t8yMjLo1K0Dju4/ARQBWrRpBnl5eeF61vZNK4bAPyAMV2664eylZ5i64BDWLhqY5utigfno4WNw/doNOJ09jzPnT9HM24SQDGUpEZTNFlqxUkVscdiKvv0ssW3LDpQqXRrS5uL5S1i0YDGaNmuCtavtsXjZIrRr31bSzSKkUHnz0Q8xYdHQ11ZCo8Z1JN0ckkXxcQm8J/z9Aw98dPnGg/GciAyJ5hfvD/+nhTCqWsooX7Mkytc2gnFtI+gbaUtdsF60mAE6dTOHhqYGDIqmHszJxlDs3zIWFv1Ww+X5F2zfdxPFDLQwbULnNIP9WnVq8eD8w/sPfKKi1etWSd1rJoTkg+BcUVERLVo2F16fNnMqxoywwkb7TTyPbte+nZA2DpscsdFhA68r++jhY6xYuoKCc0LyEEsDOHDuFX79DoVll1qYUCvtGRWJ9KSpfH3zA88uv8OrW+6IjhCkLyYnpyCLoqV1oWekBb2S2tDUV4OqphJUNJShoCSHIjJFeKDJgnv2+OjwGEQERyHQL5Snv7DLz6+BSIgTVPti617d/sQvjHYxDVRtWh5VmxmjTNUSkJGVjgq/xiblM1yvoqyIE3smoW3PZXD/7ItFq0/DQE8DQ/v9/72ZZOw4Kzx/9pwXVDh5/BTq1quLvv0tc7H1hJACGZxrampgjf1q4fXmLZrh0dMH+Pz5M4yNjfkkReLETv3duXUHx44eh/9vfxw8ciBVXeSYmBjs2bUXD+4/5D8eOnfphK7dBTOyMR5fPFC7jmCikzp1a+Pzpy9ibSMhJGO3H7zjgTnTpVMjKCgo0C6TQiwnnAXk90++SNVDLq8kB5O6pXmvdmnT4ihurA85edkcbY8F7r++BcLH/Rf/McBy1AN8Qvi6IL9Q3Dvxgl/UtFVQo5UJ6nUwhaGJAaRRZGQUVFSU+bKuthrOHZiM1t2X4odfECbO3Ad9XQ10alcrVe/5ug1rYdGhC757fce8OfNRtZopqlarKqFXQQjJl8E5C4Tv372P1m1bC29jAXk9s3p8Hat9nnxdTo0cOgoJiYkoW7YMn/o4IVlN9SQ24yfhw7sPsJtmh5DgEMyYOgt+fj8xZuxo3gOU+CdRmN/K/rKAnxCSd46efsT/amooo31Lqm0ubaLCY3hA/uDUS0SERKUIyKs3r4CarSuifC0jyCuKt/QlC+5LGOvzS72OpsKg/JOrF97e/wL3p98QH5uA8KBI3jZ2YT8K6nWogjrmVaCiLvkJrOLj43Hj6m14ffXCgGH9hAG6kaEuzhywQ/ueyxEcGokh47bg/OGpaFivQorHs2IKW3Y4okeXnoiNiYXVKGtcvHKe304IIcmle/4wJCQU06fOFHlddrGasPsO7kHDxg3TXP/i+UsetK/fvB5dunbGoCEDMXmaHU+zYQNV2WnVkoaG+PD+I7//+3fvUaq0kVjbSAhJH5ve/PzV53y5e8d6UFL6fxAdkSzWc82C8hX9dsN59yNhYF68vB56TWuDeWdGo+9sc1RqUFbsgXl6WDqLWaeqGLa8KxY4WWHgwk6o1twYsnKCryXfz7/htOkOlvbaiTP2N3OcA58TrPPn1JGzeOP2FqEhYbh49nKKzh/TiiVxbJcNFBXlEB0Th97D1uPdR59Uz1O1qikW/528z/u7N+xsJlMnEiEklWwl94WHhUFNVRXilFnvAevF19PXQ81a//fGscGeERERPJePGTJ8CCaOs8EG+42wGW+LocOHZvicUZFRvOpM0iU4iCZWIiS7Du4/g4ZVdfhAUMseaf/IJnnv/SNPrBm8D+c23uYDNJnytUpi5JrusN09EPUtqkFJVVGib42iigJqtDTB4MWdMff0aHSd2AIlKggGYsZGxeHhGTesGrAXu6efheer1EFvbmOdP9VqCnr8k4oksJ705BrXN8HezWMhI1OE96B3H7wW3j8CUj2XZT9L9LbsxZddnrjAw8MzD14BISQ/SdVFEh4ejrWr1iE6OhoR4RFYOG9RivUJCQlwffYcVUzzdqCXj48PihVLWS+5aLGignU/fvC/Q4YNRgnDEnj18hVmz52ZadrNlQvOOHvifKrbv3v4IjQgQqztJwKJCYn46v6ddkcBw+ZBCPX3Q9PaRflFFTH58n0uSMdnZGg07h91wyeX/1+PXiktNOpVDUZVBJ+d3z55QxqVrK6HktWbw+9LANyuf8IXVx/8SfzDf2iwi2ElfZh1qYISJqkrqeQWFUU1lDcuz8dRVK5cCT++pqxCw1Qrq495Np2xwN4JPr5B6NhnJQ6sHwFNDZUU9xs5bDSCAkIwdMhQyCUqZPmYK0jHJyl46PjMmTImRukH53GxcXj29BmvusAmXmDLySkoKMK0ahVMsrNBXoqLi+eDQFO2RYHnlrM2J2nbrg2/ZIW5RTs0b91UeJ31nC+cuQxG5YpDR1dHjK0nSdgXS/IDkBQMD+4/4z2GTAJkUat+9XxZKq6gHJ+vbrvj1JobPEBn2EBLC+umqNW2svB9yg/Ye9GgQ00E/wzDg9Mv8djpFa8I4/PhN858uMPPALQf0QhlqxvmSXtKVyiZ6XE9xcQIcUVksHTdWXh4/Ybd0hO4cGQalJVSDo7euW9boT0+ScFEx6f4pArO2aDP85edeKBqO9EOew7shjTQ0tJEUFDKnMPQkFCer8cmScoOZRVlfrl07gqfEY4GkBKSPW+/BOH0zW+oWl4LnTo0zJeBeUHAJghy2nQbj51eC29jAzAtrJtBRUPygyqzS6uoOjqNbYqWA+vhPqvscvIFL9n45YU3HMcfh2nT8uhk1ZTXTM9NWT2uZ9h0wc/fIdh54BaeuH7B8InbcHDLOD7bdnpY+d+69eqkmPCIEFI4pftJwYLWgYMHpLkuqVpLXjKtaspLULHBqElevnT7uy5nKTYdu5pj8y57LFkzP8ftJKQwOnv5Odzcg/D0UzQ6d83amSsiXr+8ArFx9GFhYK6hp4pR63qgz4x2+TowT45VbWk3vCFmHRvO/yqpCc6mvr33BWsG7+cDR9nMpnnJ6+t3OF+6zgeNJg/i2YyhFu1r8+vnrzzHjEVHUtwnearoquWr0a93fyxfsiJP204IkU5SU60lM23bt+GTHzluduTXWcrNVodtMKtfD2XKlsnTthBC/sd6CO8/FlRJ6tGpHvWaSwCb0XOT1VH4eQoGIFZuWBZ2uwfxeuUFkbK6EtoObYAZR4ahae9avMILy3dlA0dX9tvDK9MkxOduKV0WaD978hwnj5zB65dv4fIoZQoo6yXfvXE0zGoLJjPasuc6Nu90TvN5WDUyZvfOPXyma0JI4SY11Vp2bt+FXt16Y/WKNfz6oH5D+HXXp678urq6Ohy2bcap46fQpEEz1K/dEEFBgVi3cV2Ot83SWsaPsMWcKYISV4SQrHO64orEREGPYHeLerTr8hAL7FggumvaGZ7mISNbBBbjmmHYiq5Q1RLU4S7IVDWV0WVCC0w5MATVWwrqirOcdFaZZuOYw/j21jdXt//7529hb/izx66IjhLk+CefRfTYrokoX0YwodLMxUdx6rxLivvIyclho+N6GBQV3Gfa5On48tkjV9tNCJFuRf78c54tebWWs6fPpZpiOKlaS+nSpeC43UFsDfH65oWfP1OPfjcxMUlRZpFVhXB3/wRFBQUYVzAWay8dK6doazUN9ltX0YDQXEIDRgoWNlCblYy7/eADTIyLw/XG0nzdc56fjk/2g+j8ptu4f0rQ68pSPAYu6ISKZgWztzwrvr7+gdP2N3mN9CRmFlXRcUwTHsiLGzuDe2Tfcb5s0b0jdHTTznn/8vUnWnVbgoDAcCgoyOH8oam89GJyrKxiv94D+HesSUUTnL1wGioqKvn2+CSFDx2f4iM11VpKlS7FL5lhFVrYRA6EEMl78vgFGlWUh65SaVSsUjFfB+b5CUvZOLHSGa5X3/PreoZavLfcoHThrjJVploJ2Gzvj4dnXuLqrkeIiYyFy4U3fBbS7rateC11cWKDN7v36QIlZaUMB3KWL1MUJ/dMQkfLVYiKjkXfkRtx7fQsVKpQQngfs/pmmDl7OpYsWgb3j+6YOW0W1m+yp/8pQgqhVD3nSaStWktuSl6thdV2p57z3EO/rAuW9Wt3ISEmnC8bV6mCrt3aIj/LD8dnfGw8Di68xAdBMiUrGmDk6h6FIo1FFKH+4TjveBcvrwvGQzBsBlIWpKvriDctM6suOr9Av9Gb+FmPUiV1cfPMHBQr+n+1MfZ1bD16HC5fusKvs9lEBw0dlK+OT1J40fGZBznnWtpahSIwZ6haCyGiYzMkRoSFCa83biyoTEFyT3xcAvbNuSAMzMvVMMSY9b0oME+Dhp4aBszriBGru0NTX43f9vrOZ17V5cW1D2lWThEXdtb5p2/qNM1O7WphzaKBfNnLOwC9hq1HeMT/eerszNOqdStR9m+Rg8WLluLXz1+51k5CSD5Ia2H55qykE6uKYj1hLF9OD7vPtJlT86KNhBApFBAUgVX7XsFQXwWDe9aFnr6upJtU4FNZDi+6hA+PBdO9V2pQFoMXW0BeMVV2IkmmUv0ymLJ/MC443sOT86/5xEyHF1/Gq9uf0GtaG7HnogcGBOH86YsICwvHoOH9UoyZYkYPbgVvnwCs23IJL998w2BrRxzfZQM5OVlh8YMtOxwxbNAILF+9TDhQlBBSeKT4VI+Pi8crt9fQ1tYSLqeH3YcQUrirtCQk/IGXXwQ6d6Pa5rmJpUEcX+nMe34ZE7PSGLLEAnIKFJhnhZKqInpNbYMarUxwYuU1BPmF4s29z/B67wvLWe3FVnKSpUaePnYOIcEh/Pr505fQd3BvXpEluQXTe+L7jwCcOPcEzrdeY9Ks/di0cqgwv7xS5Uq48/AWH2NFCCl85P5NZWEjxJMkXy7IaIZQQkTHJlZhKpQvhiomeTN9emHE0i+cNt7G87+DP1kqy5AlnSkwz4YKdUrBbu8gnN98hw8UDfWPwA6702jetw7MRzbK8T6VkZFBG/OWOHX0LA+0K1YxgaysbJr327pmBPx+heDeow/Ye/QuShrq8plFk/wbmCefgI8QUrBlq855QUM554SIJjgkEncffeDLXc3rUEWJXHTvxAs8OC0ol1iqSjEMW9kNCko0xXt2KakooPe0thi0yALK6oIZRu8cdcXmscfw86tgEqecKFOuNFq0aYY+A3qiXoP0/zcUFeVxZPsEYcWWJWvP4NCJ+2nel01M1KR+E7i4pKyRTggpxME5G5Dy+fOXFJevnl9zv3WEEKl07vxdqCjKCAe5kdzBUi8uONzhy3oltTB8ZTceXJKcq96iAuz2DIJxbUH1E59Pv7Bh9GG4OgvOUOREHbNaKFkq87NJWpoqOLPfDsUMBGmi46bvxa17b1P1mM+eMYfnsC9Zuhg+Pj45bh8hJB8H52xSBDYbp1ntBmjTvG2KS6/uffKulYQQqarS8vPrR0weZIpxlpVRsZy+pJtUIH3/4IfDiy6DFRVR0VTCiFXdc2UincJMy0Ado9b1RKexTSErJ4O46HgcXXIFJ1dfR1xMvNi3l1aFGCNDXZzeZws1VSU+v8gAKwe8+/h/AK6pqQH7Tet4D3xoaCisx4xHTEyM2NtGCJEeGSbY2U6w4xMjrFq7EmpqKevCyskVnNOqlHNOSNZ9+fQVsn9/1utqKkFNXVCmjohPWGAE9s0+zwNEOQVZDF3WhfecE/GTkSmCFv3q8lz+A/MuIvhXGK/q4v3hJwYt7gTdElpiCcof33dBcHAIzC3apkp1qW5aCge3WqPn0PUIDYtCr2H2uHV2LooaCCq9tGzVAhNsxmPj+k1we+GGJQuXYvGyRTluFyEkn/Wcs1/oAQGBWLN+NRo1bojqNaqnuFQxrYyCgnLOCcm6Nx+84f0zgi/rFy/OB7cR8ZZMPLTwEkJ+CyZ3YvnRZavRgNvcVqpKcUzaNQAV65cRprmsH3mYpxbltOY5q+Dy8N5jvHv9Hm9fvUvzfm2aV8O6xf/XQO8zYgMio/7vIbexm4i6devy5QP7DuLs6bM5ahchRHql+62qqqoKeQV5fgqbEEKS3H3qhR1nPmHLqc+w6NyKdoyYXdp2H19eePPlJr1qoXa7gtMRIu1Y2hDL62eVW4rIFEF0eAw/g8Hek8SExGw9JyujmLyU4mu3t+lOgDRiYEvYjDHny65unhhhs52XZ2RY1Zc5s+eiePHi/PrMabPh/tE9W20ihOTT4Jx9EPTo2R0rlq6kAJ0QwrFAgU1BzjSqXxn6BjTxkDi53XLH3WOufLls9RKwsG5KR54E0lxaD66P0Wt7QE1bhd9269BT7JnphKhw0XO9WQpL+05toKGpjhq1q6N3/x4ZVjdaPLM3unaoKyxXOnf5CeE6LS0tOGzbDHl5eURFRcFq5FhERAjOYhFCCo4Mz0cPHDwAhw8dQY0qtdCqWZsUl940IJSQQuf5q6/w+xXMly2oSotYBfqG4OSqa3xZXUcFAxd0guzfWSNJ3jOuUwqTdg6AUeVi/DqbmXWT1RH88goU+bmUlJUwaHh/XgP93wmJ/sXSxHasH4m6Ncvx6xu2XcHOA7eE62vXqYXZ82bx+/Xu2xvKyjRImJCCJsNPCZvxttDX10ebdm2gpppyQKjqPwNECSEF34WrgomH2FTj7VrWkHRzClSe+ZElVxAdEQvWqTpgQSdo6NFAW0nT1FfD2I29cWrtDbheeYffXkHYNOYI+s/riMoNy4ocoGeVirIiju2aiJZdF/P888nzDqK0kR4q/B2cOmTYYDRs1AAVK1UU+TURQvJxcB4WFoYP7z/gyfNHPEAvyKhaCyGZCwoMxg/PTyhTQg3lypXiNZqJeNw86IKvr3/w5VYDzVC+ZknatVJCXlEOljPbwdBYH+cd7/IfUHtmnIX5qMZoOaBejibgCvAP5Gk02jraqdYV1dfEqb22aNNjKUJCozDY2hF71w1HGRMjweyjFJgTUvjSWlRUVHiJND09PRR0VK2FkMw9dXmFiqVUMKyLMVrVoVxzcfn65geu73ssnAG07bAGdDhKGRYMN+1TGyPXdOezirLxnJe3P8DRpVcQH5u9ogmscsuhPUdx/vSldMd1VTYxxMEt4/iZqrDwaFjPPghfv6BU93v/7j0se/WDv79/ttpCCMlHA0IrVaqIa87X87ZFhBCp9O7t/5UhqpiWl2hbCorY6DgcW3oViQl/oKgsj35zO1CeuRQzqVsaE7f3R9Gygh+nz50/YMfk04gMjRbpeQIDgnDlwjVeZvH3L3/cuXEv3fu2bGqKDcsG8+Wfv0PRe/gGRET+PzCVzRjavXNPPHn0BBOtbZCQkJDt10cIkfLgnI0A19XVhfXocRhnNQErlq1Mcdm8wSFvW0oIkah3nmFwcw9EdGwi6tStRu+GGFzd9Qj+PoIBtl0mtoCeIU00JO3YezTe0RImZqX5dQ83H2weexT+3oL3MSt0dLXRqKngDAk7Q12xikmG9x/StxmmjOvEl1+++YbhE7Yi4W9pR0NDQ/Qd0JcvP3zwCOtW22f7tRFCpDw4j42JxZcvHihXvhw+uX/Czeu3Ulzu3bufty0lhEhMVHQsTl99j9M3vRAuW4wHFyRnvr31xb0TggG2LNCr19GUdmk+oaSqiOEruqFB1+r8+u/vQdg09gg8X/tk+TnMGtVFw6b1MXhEf5Q0ynySqXlTe6B986p8+eK1l5i15Jhw3aw5M1C7Tm2+7LDJETeu3cjGqyKESP2AUDZAxfnmlbxtDSFEKt19+B7RMXF8uX2rGjkaBEfA85SPr3DGn0RBOkuvqW1on+YzsnIy6GHXCnoltXDR8S4iQ6KxbdIpPni0VptKmT6elUJM6j3PCnb/pdO6Izg8Ck9cv8BhlzPKltaH1dA2UFBQgMPWTejUvjMCAwNhazMZFy47oVTpUjl8lYQQScjSvNssL87TwxPPXQWTjxTEai3jR9hizpSFkm4KIVLp6q1X/K+aqhIa1cv4FDzJ3PX9Lvj1TVAvu5N1U2gX1aDdlg+xH6nNLetg0OLOvKpLQlwCDi+6zKvvpDcLaGYyepySojyO7pyIsqUEFdSmLTiMy9df8uXiJYpjo8N63qbQkFBYjxmP6GjRJ00ihEh5cM6C8vXrNqB2tTpo2bQ1Ro8Yw2cI7Nm1N757fUdBQdVaCMk4WLh6UxCct2xaBQoKGU+iQjLGJrG5ffgpXy5XsyTqdxakRpD8q1ozY14PnU0exbBKLuc23kZiomgBekR4BE4dPYsvnzzSvY++rgZO7rWFloYKf/6h47fi1Vsvvq5Jsyawm2LLl9+8foOF86jDiZACF5wvWbgUJ46dxLyF83D05BHBA2Rk0LN3D2zfuiOv2kgIkaArl++ikak66lbWRdtmVei9yOEPnbPrb/FJh1haRM8prXmda5L/sZlEJ2ztB/1SgvEYD069xOGFl7JcatH3hx8O7DqMb55evJJLeFh4uvetaFwch3dMgLy8LK/c0nv4evj9FAxIHTfRGi1bteDLYWHhvJONEFJAgnP2D33syHHsP7QPvS178YGhSWrWqslHhRNCCr73bz6iUhlNdG5uhPKGNPFQTry+8wmfngl6OZv3rQODUjpiepeINNAupoFxmy15vXrG7ZY7dk07i+iIzNNL1NRUkZAoqMASHRUN9/efMrx/s4aVsHH5EL7s4xsEy5Eb+cBt1oFmv3EdVqxejk2OGyAvLy+W10YIkYZSiuERPHetvPH/QXkSZWUlREeLVteVEJL/REVFIzEuUni9Zi3qOc+umMhYOG26w5e1DNTRelB9sbxHRLqoailjjH0vVGpQll///Pw7tkw8gdCAiAwfp66hjnYd20BRSREW3TuitlmtTLc1qE9T2Fp14Muubp4YY7eTp55qaWuhb39LGmRMSEELzjU0NSAnL4dHDwUz1yX3yu1Vip50QkjBFBuXiN1OX3DzqS/iiihDU0tT0k3Kt27sf4KQ34JUhS4TmkNBmXo0Cyr23g5d1hl1zAU/Zn98+g0H66O85GJGKlQsj5Fjh6Ji5QpZ3tbCGb1g0V5QRvH0hadYZn8u1X2CAoN4icXsDlIlhEhJcM5OjfWx7I2xo6yxc/sufHb/xBIm4fLEBauWr0b/v5MeEEIKrruPPsDLNxx3XH+iRduWkm5OvsUmGrp7/P+a5lWbGUu6SSSXycrJ8rKKLQfU49cDfUPhMO4YvD/+zPBxSspKIm2HfVfvXD8K1U0FZRNXbHDC8bP/p516fPGAhXlnrF6xBtu2bM/WayGESNGA0KkzpqJZi6Z8YGh/y4Hw9w9A/z4D0btvb3ToJDiVRggpuG7cfcP/ssoQdWvS2bLsurz9Ph8EKiNbBF0ntKB0g0KCpYZ2HNOEnylhIoKjsG3SSXi+yvpkRYyP948M17MSpyd226CYgWCG2bFTd+OJ62dhiUWWMsOwjrW0zoYTQvJRcK6kpIiNDhtw9+FtbN3hiG27tuKhy31MsrPJuxYSQiTm1r23/G+zxpUhJydL70Q2ZwJ9dUswuK9Bl+owKE2DQAubpr1ro//cDvzHWXRELHZMPg33p98yfVxsbCyuXHDG0f0n8O71+wzva1hcB8d2TeC10GNi4tF31CZ4eftDWVkZW7Y7Ql1djeejT7CeiF8/f4nx1RFCJDIJEZtlzLyjOdqbt4NBUQOxN4IQIn2+ePrhy1fBl3irJjS1fHawHN8Ljnf5sqKKAtoOy/qMkKRgqdW2EgYv7gxZeVnExcRj94xzeH1X0Ludnnu3HuLtK0FQfv3qLYSHp19ekalToxy224/iy7/9Q9Fr2HqEhkWhbLmyWL1uFb/d/7c/xo+dQCUWCcnvwXlBRzOEEpLahTOXMK5PRZg3MoRZTZoGPDve3P2Mr68FKQks91hNi0pRFmamTcpj+MqukFcSzCZ6cP4FuDqn3yPeqGl9qKmr8eWSRoaQk8t8ArAeFvUwd0p3vvzuow+GT9iGhIRE3sE22koQuLs8ecpz0Akh0omCc5ohlJBU4uPjERsZBgMdZTSsro/iNL28yBLiE3Bp232+rKmvhqa9My+NRwo+k7qlMXptTyipKSIx4Q+OLrmCh2fd0ryvsooyOnZpj5ZtmqF7ny5QUsraYNFpEzrDsrvgLM2Vm26YvfSY4PaZU2FWXzBAlU0keOXSFbG9LkKI+FBwTghJ5afvLxQpIii7lpBYBHr6erSXRPTs8jv4ewtmbTQf2QgKSlQ6kQiUqVYCVht68ZrozJl1N3Hr8NM0d49R6ZK85jkbXJpV7L4OK4ejQR1BVaDNO52x+9Bt3vO+ecsm4f/z7l17qbwiIVKIgnNCSCq+AdFYufcNjl/7imKly1N1ERGxKduv73vCl4uW0UHtdpXpKCMpGFYwgPWmPvysCnNp631c3fVQbMGykpI8Du+YgNJGgkDcbu5B3Lr/jo8bYwG6Zb8+2H9wL/1vEyKFKDgnhKRZQjEqJgHvPUPQuXML2kMicrn4FsG/wvhyu+ENISNLH7UkNVa5x3pzH+iUEEzuxX7QXdmZeYDu9fU7nC9dz/R+BnoaOL7bBupqSoiPT8AgKwe4f/FFg4b1sXLNCpFrqhNC8kaK0SVsJDirg5oVampqPH+NEFLw3Lz3jv+tU6MstLVUJd2cfIVV4rhxQNBrXry8Hqo2y/psj6Tw0SmuyQP0bTYn+QyiNw+4IDE+ER2tmqTq1WbB+P3bD/HkoSAFRk9Pl6e8ZMS0YknscxjLK7cEh0ai97D1uHluLnS1BT32SWNMXr96g1q1a+bSqySEZDs4j4+Lxyu311l6oLa2YLIDQkjBEhYeJZzApGVTKqEoqsdOrxDqH8GX2w1vBBmZrOcKk8JJU0+N56Bvm3QKv7wCcfvIMyQm/oGFddMUATpbDg8XHFvMowcuqFrTFAoKChk+f7uW1bFiXj9MW3CYl0cdaOWAcwcmQ0FBDr9+/cZEaxs8d32Ok2ePo3qN6rn6WgkhIgbnWtpaOHvhdBYeRggpqG7ceoE/iYl8uRUF5yKJjY7DzUOCXk1DEwOYNqFZVUnWaLAAfSML0E/i59dA3D3misSERD67aPIAvVW75vjh/QOKSoq8kktmgXmSscPa4ONnX+w6eAv3Hn2A7Zz92LxyGK97/uLFCz7h0djR43DxynkeCxBCJIcSIQkhKU6bu79yxYxh1TCkszEqldOnvSOCx06vER4YyZfbj2hIg+2ISNR1VGG1oTeKldXl1++ffIFzG26nyC1nwXivft3Rd1BvaOtoZ/m5WYC/ZmF/tGxShV/fd/Qer+JSxbQylixbzG/z8fbBpIm2fCZRQojkZDqjwcsXbrhx7QZ8fH4gMTFBeLuGhgYWLV0IaRIREYGICMEXo46OdpYmbCCE/C8oMBiyRRIhKy+DMsVVoampTrsni+LjEnhvJ1OyUlFUalCW9h0RmZq2Cg/Qt9mdgu/n33hw+iUPlrtNaiW8j4amRrb2rLy8HA5sGYeW3Rbj0xc/Xv+8onFx9LbsBddnrjh6+Bhu37wDh42OmDBpPL17hEhjz/mpE6fRp4cl7t29jwvnL8DX1w83rt/EuTNOCA4W1O+VJnt27kXHdp3Q2KwJ3r0VDGgjhGSd1zc/hEfF8WVZRVXIK1Bt7qx67vweIb8F06u3GlCPes1JtrH652Pse/Jyi8yjs69weu11/ElMvzoLG9QZHR2T6XNraargxG4baGuq8rz2oeO34sOnH1iweAFMqwrGmKxbY497d+/RO0iINAbn7B90o8N6bN+9jfeUHzt5BPcf3UW9+vVQqXIlSJvxNuPw7KULatSkAS2EZMcn71Cs2fcWDsc+wKyRYCZBkjmWG8wG8TH6pbRh2lQw+Qsh2aWqqYzR9j1RsqIgQH9y/g1uH3yeZvnE379+49Ceo3C+eC1LddKNyxbDfsexkJWVQWhYFPoM34DI6Dhs2e7Ae+XZc9iMs8UPnx/0BhIiTcF5VFQUAvwDYN7RnP8Ds8EijKaWJqbPmIrLFy+LvLGYmBhcPH8J+/bsR1ycoHfuX17fvHD82AmcO+uEoMCgFOtCQ0P5yPJ/L+x2QkjOsYFi7Ks9/o8sGjWkH7lZ9ebeF/z2Enxetexfjyq0ELFQ0VDC6HU9YVSpKL/+7q5nqhz0wIAgHNpzDP6/A/Dp4xe8eZW1s8asEtPK+f34sse3Xxg8dguKlygB+w1rBc8bGIg5M+fSO0mINAXnYWHhUFMX1EHV0tJCZEQkD9gZXT1dBAYEirSh7Vt3oHmjlnDcvAXz5ywQBvvJHTl0FO1amePa1es4dOAwmjdpCddnz4Xr161Zz9NW/r2w2wkh4gnOmcYNKkJGhsaLZwULlG4dcuHLbLbHWm2l76wiyb+U1ZUwcm0PYYoLy0E/73BXGKBr62jBuGJ5vsz+Z2OykNqSZMyQ1hg+QDDJ2O0H7zB90RG0btsa1uPHokatGli8fFGuvCZCSMayNGJSVlYWFStVxBaHrejbzxLbtuxAqdKlIQojo5K46Hwez566YswIq1Trf/r9xPy5CzB/4TwMGNSf32Y3cTKm2k3DzbvX+fUFi+bxCyFE/Hz9gvDJw48vN2tI081n1SdXL3h//MWXm1vWgZy8LB2eRKxU1JUwal0PbBp7BAHeIbh3/Dnk5GTQYYxgoqI25q0QFRmFpi0bo1hxQS97VrDHrl00gP/fsx/m2/fdRBWTkrCbagsbu4lQVFSkd5IQCUi3a4z9U7Zo2Vx4nc0Gun3LDjQya4Lz585j0mQbkTbUoVMH6OoKykOlxfnqNcjJyqFn757C2wYNHQSPLx54+yZrp+mio6J5mktcfDyCgoJTpcX8i32YsTMASZfgIOkb5EpIXrl2/Qm0NQQ1k5s1ot7frLpz1FWYgmBmUTXX3h9SuLEc9K6Tm6FoGR1+/dbhZ3De84gvKykponf/HiIF5ikruFijjJGgbOqU+YfwwOVTqsCcVUMjhEi451xTUwNr7FcLrzdv0QyPnj7A58+fYWxsLFJ91az4/OkzShqV5B8ySYwrCE7Vff70CaZVBbVZM3L1ylUsXriUL0+eNAUVK5rg0LGD6d7/ygVnnD1xPtXt3z18ERpAH0S5NXDuq/v3XHlukn3sFLmv50dM6l8FoRFxSAgLwVf3zAeWFfbjM/BHKNxdvvHlyk3LwNf7Zy62jhR2iiry6DChEc6uvoNgvzBc3/sEYcHhqGuR8zNd6+dbov+E7YiMikX/UZtwxGEMSpXQ4ePDtm7dAldXVzhu2QIVZRWxvBZS8ND3e86UMTHKPDj39/eHRfsueOz6UHgbC8jrmeVOBQc2JbGGRsqayurq6jylhuW/Z0XX7l35JavMLdqheeumwuus53zhzGUwKlccOrqC3gkiXizwSX4AEung/8sfcn+zMVSV5WFaqxL/3ytsRD0+Xc/f4H9lZGXQYURTPg07Ibl5fJrWq4CSjsWxdcIJ+PsE48nZt9Atps0HIifHaqO/dH0F0+qVs5Sewo77fQ5j0WfERoSERcFu8XHcPDsHN69dxanTp/h9tmxzwEaHDVQmlKR7fNL3ey6ntaipqfMqKHk1UxjrMWcBenKRkZFISEiAsrJyrmxTWUWZB+FJF5qymBRW3j/88c03HAkJf6CgrFYoA3NRRYZGw/WKIOWuRksTCsxJnmE/Ases7wWd4oLJiC5tvc/z0JOEhoTi+KFTuHXtDm4638ny83ZoUxOLZvTiy6z2+fAJ22DRpTM6WXTkt50/dwH79x4Q++shhGQxOGfBcp26tXHe6QLyQtmyZfDjxw8ejCcvq8iUKVsmV7d96dwVjB9hizlTpGvGU0Lyyvsvgdh97jOW73mNZq2b0Y7PgicXXiMuJp4vN+lVi/YZyVNaRdV5gK5lIDjj7LT5Dh6ecePLnl++wee7oEb5u9fv8eWTR5afd5JVB/Tr0YgvX7nphgUrT2HFmuUoV74cv23JwqV47voiF14RISTTtBY2+IOlsdhOsMO50+dQ3rg8ZJPOe7OedVU1PumPuLRq0wrLlqzAzRu30LZdG37bmVNnoW+gn+uTCnXsas4vbFCordW0XN0WIdLo7qP3/K+2thpq1aAJdDKTEJ+AB6de8uXSVYujVJViuf4eEfIvneKaGLOhF7ZMOI5Q/wicsb8JBWV51GlfFR6fPeDx+Stq16uJ0mVLiVTBZdOKofjs6YenLzywfttlVKloiK07HNG1U3deUnncmPG4cNUpwyIPhJBcCM5jY2Lx4f1HGFcwhre3D78kxwJ3UYLzJ49d8OH9B35hjhw8AnkFBR6UszKL7Ff56LGj+EBOVkoxOCgEJ4+f5DOUysllqeIjISSb7v6tb960QSXKJ82CN3c/I+S3YCxMU+o1JxKkZ6jFe9Adxx9HRHAUjq9whqKKAtp1bIPfv/xRppxoZY8ZJSV5HN0xEc06L4SPbxDGz9iLy8emY/mqpZg0wQ6+vr6wGTcJ+w7tpRQ4QnJBulEvC76db14R24b8f/vjy+cvkJeXx+Chg+DlJaiI0LBRA+F9ZsyajoaNGuLhg4fQ19fDuYtnUcU09+sts7SWS05X8yy/nhBp8u27P78wzRpSCcWsYBPBMCyloGqzCrn6/hCSGYNSOnwm0a0TTyAqPAaHFl7CsOVdUdFM9MA8SVEDTRzbORFtey5HVHQs+o3ehLvn52HQkIE4sO8g7t97gA3rNvKa6ISQPArOY2JicP/ufT5bmCjr0tOpc0d+yQwr2cgueYnSWkhhds35AYyN1PH9ZwSaUnCeKT8Pf3i+EuTzNuhaHbJyNJMqkbwSxvoYvqobdkw+jdioOOyb7YRRa3ugbHXDVGVTWepKVtSsVgbb1o3EYGtH/PodCsuRG3Hh0FS8evUaPt4+aNREkJtOCBGvdL9VQkJCMX3qTJHXEULyD/ZFHej7DYM6lcfMYdWgqUpVWjLz2Om1sHyiWSfTPHiXCMmaMlVLYOiyLpBTkOWDlXdPPwvvjz+F/+uv3d7i+MFTKQovZKaHRT3MsOnCl93eeGHCzP1w3LYZl65eQIOG9emtISQXZKvLJzwsDGqqqigoqFoLKawCA4IgKyOYbOjPnyLQ06cBXhlhPZKuzoLBs9WaGUNdp+B8DpKCoUKdUhi4oBNkZIsgOiIWO6ecgZ+nP86fvgTni9fh/d0HD+89Fuk5Z9l2RdcOdfny2UvPsO/4UxgUNcilV0AISZXWEh4ejrWr1iE6OhoR4RFYOG9RivXsF7frs+eoYpr5jJ35BaW1kMIqMDgCLz4EoFRxNejradPgrky8vPkR0eExfLlBl2p58RYRIjLTJuXRd5Y5jiy5jIiQKJ7q0miEiXD9+zcf0aCRGeQV5LP0fDIyMthuPxKeXr/w6q0XltmfQ6UKhrxXnTl+7AQ+vPuAeQvn0rtFSG4E53GxcXj29Bni4xP4tL1sOTkFBUWYVq2CSXY24tg+IUSC3n/+hbO3BYOz7zjNofciE4/PveJ/9Y20Ub42zXRLpFettpUQExWLU2tu8DKLLvs/o0RrPegV1UXrdi2yHJgnUVVR5ANEm3VehN/+oRhjtxPlSuvD7dldzJ+zgN+narWq6NGrey69IkIKcXDOqrScv+zEp7K3nWiHPQd2o6Cjai2ksHro4s7/qqkqoUbV3J3sK79jubvfPwjyd+t3qUYlJ4nUa9ClOk9tubjlHgJ9wyD3QA69NjSHkrJStp7PyFAXR7aPR8e+q3gFFzZA1OnARJQoURw/fvhi1vTZvMJapcpU9YmQXMk5Z1PZ79izHX6+filuZ4NKfHxS1jwvCGktm3fZY8ma+ZJuCiF56tHTT/xv/TrlIZdskjGS/kBQNtiurnnBSesjBVuLfnXRZohg4OYvzyDsnHoa0ZGx2X6+/9q7C7CosjYO4P8ZGLpTkBAkRAUVsLuxO9ZeXbu+tWvtXN1V1861e9dcuwOxRVBUFFQQkO6O7zlnZBQRZZCYgff3PPNw751h5tw7l+Gdc9/znjqutlizZCBf5jXQp+/D6nV/8TLJLB125NBRiI2NLbT2E1IWfXNA6JrVa7F/34Ec21gJprm/zceF8xeLum2EkCIUn5CMx95v+XLdmp/yUUluLJh5dFE8UZNTE1uoa6vSYSJyo9XgumjwcbKswBeh2DnjBNJT0/l6YkIikhKTpHq+vj0aYPSQVpIv+LuPemP2XHFanL//G0yZOJV35BFCCjk4Z39YO7fvwpChg3PdN3T4EGzf8ncBX5IQIgvOnLmBmpX1YGKgirquNiXdHJnmddWXV2phaneggaBEvrBOtQ5jGsO5tXhSv1cPA7B/4Vn4Pn+FnVv24MKZy1IH04tm9kTTBuIrSNv3XkWS0BSduohLLp49fQ7bNm8rgj0hpIwH57ExsXyyIU1NzVz36enr4927d0XdNkJIEXrj64s29c0wors99DToUH/LvdNPJVOlfzmpCyHyQCgUoOfUlqhUx4qv+zzyxYl//0NiYhJ8X7yCj7f4ylB+sTS4netHwsrCkK9Pmbsf7bsPgp29+CrckkXLcPfO3SLYE0LKcHCupa0FJWWlXNVamBvXbqC8Wen5B0V1zklZk5ycAkHmp7xT64oFn+a7tAsPjIb/E/E4G9c2lWkgKJFbCooK6D+/HSyrmiAtBkgKFveWq6goQ1GU54ThedLT0cDBbeP5gHJW4e2X/23D7AWLoK6uzssvvn1DnXiEFGpwzi6Dde/RDeNG/Q8njp/kg0D9/fyxfevfWL50BXr/1AulBQ0IJWUNK5N67WEoXr6NQXqWItQ1aDKdvDw494z/ZDOeZ6cFECKvlFREGLysM8pZ6SP2WRaS3mfBwbQ67CrZFuj5KtuXx5ZVQ/lyRGQ8piw8gaV//I6D/xxAj17dC7n1hJQN3/yqPHnqJAQHBWPcqE81zRUVFTFi1HCqZUqIHHvpF4or94L58oGt7Uu6OTIrMzML98+Kg3MbFwvoGmuVdJMI+WFqmir4ZUVXrBt9EFFesTjjdRu6Bjqo0aJgJRA7tHbGzAmdsejPY3ySokOnjbFrvRu9U4QURXDOaqGu37wOfq/98NznORRFIlSvUR1GRuIcM0KIfHK/Ky6hmF0ajXyd36MARH+I48s121Shw0RKDW1DDQz9QxygJ0Qn4cCic1DTUoF9rYLNdzB1XAd4+wTi+Jn7OPrfPaxYZ4HJY8Rf/B8/8kR0dDSaNG1cyHtBSBkspZjN3MIcDpUdYGBgQIE5IaWA+z3x5EP2NqYw0Ms96JuI3fvYa66iroQqDSvSYSGlCpvp9pflXaCsKkJmRiZ2zjqJ157vcPvmHWRkZEj1XCzHfNOfQ1Clkhlfn7/8X5y+8BiHDx5Bjy49MXbUOLx9Iy7dSgj5geCc5aWu+nM1nB1d0LRhcwwbMhyZmZno1qkHAt6Jp/wuDWhAKClLWMk0j/uv+HLdmtRrnpfkhBReQpGp1syO5+oSUtqY2Rtj0OKOUBApACrp+Pefo3C/7gGPm9JXWmEDQw9uHQc9XQ3+OTNk/CZkQJkH+nGxcRgxdBSSk5KLZD8IKTPB+cJ5i/i33tnzZuPAkf3iXxAK0a1HV2zeuAWlBQ0IJWXJjev3UKuSJpxsdVGrmkVJN0dmPbnqi7QU8UQtrm6U0kJKLzaeos9vblA2FECoIt52x/0ewkLDpX6uChaG2L1hFBQUhIiLT8aSdTcxauwYfp/PMx/MnkUzcRNS4OCc9Zof3H8Iu/bu5COurStaS+5jeefut25/98kJIbLH+8lz1KpqiG7NLWGgLSjp5sisRxeeS2qbs9JzhJRmTk3s0KJ9E6TFZCErIwsZwSpQUy5YFafG9RywbM5PfPn1m1Bc90xD0+ZN+fqhA4dxcP/BQm07IWUmOE+IT+DlFCvafArKs6mqqiA5mS5NESKP4mOjJcuOjpTW8jWx4fF4/Uicule9pT3VNidlQv0u1VHVtjrC3bMQ+jgBO2eekFw9ktbwgc0xsHdDvnz5xjPoWzbk49eY32bOgbe3eGIvQoiUkxCxSQluu3vkuu+J55McPemEEPnA8kAfvIiHu2coYpOyUM7EuKSbJJM8L79E9mzmNZoXrLwcIfKo3ZDGqNnCiS/7PwnC/oVn+GBRabHOvT8X9EcdFxu+vnHnNXTuPYxPbpiakoqRQ0chJjqm0NtPSKkOzlluec9ePfgf0NbN2/DqpS/7z86n4/19yXL06du7eFtKCPlhScmpOHfTD+duB0HVwBoiEQ1y/JpHl17wn+VtjWBkqUdnHikzWFDd5X9NUaWBuDqR17VXOLHmGi8GIS1lZRH2bhoD03K6fH3x2qsYPHw0X2ZFJU4cO1HIrSekDAwInTxtMho1acgHhvbp1Q/h4RHo07MfevTugTbt2hRfKwkhheLhkzd8mm2mtjOVBvya8PfRCPAJ4cvVW9jTmUfKHKGCEH1mt4FlFRNAAHh6eWL3ukMFei5jI20c2DIWKsoipKSkY+vh1+jSvTuWrViC/oP6F3rbCSn9kxCpKOOvdasxacpEPHv6DAKhEDXYJETGRihNWCnF0yfOFahngBB5cu/ha0nvmEt1Sk37mscXxb3m2SUUCSmLWOnQ3rNbYceGvRCoZCI87gPOH76BVj3EeeTScK5mhbXLBuGX/21BSGgMnryriKW/dy2SdhNSZiYhsrC0gFtbN7R2a1XqAnOGSimSsuLOx+Dcwc4UWpqqJd0cmczJf3RRXKXFyskUusZaJd0kQkqMfjldlLf+NC7lvvtDvLxXsImEeneth/HD3fjynQevMeG33fzvjQkNDUPoh9BCajUhZSA4Z5MHXL54mdc137F9J+7dvVc8LSOEFKqQoA8op5aApq7l0KhmwaboLu0iAmMQ+jaSL1dvQQNBSdnGrrC16+IGJSUlJL0RIOphJnbNOon3LwsWSM+f1gMtmzjy5Z0HbmDjjku443EX7Vq3x6jho3kJZ0LId4LzV69eo3XzNhg88BesWb0Wyxb/jh5deqFf7/6IiYml40eIHPH29oW5sSqauJaDpZFCSTdHJvneEZdPFCoI4NSEykwSwiq3DRs7GD2HduKFIlKS0rBtylFEBktfaYVNTLT9r+GwsRL3xk+bvx+7dh9BWGgY7t97gKWLltEBJ+R7wfnE/02CiUk5XLt1BV4+nvB59RTHTh1FcHAIfl/yOx1AQuTIy5f+kmUra5oZ9EvsErvvfXFwbutqCQ0dtWJ9fwiRVcrKyrCraYme01ry9bjIRGydfBQJMUlSP5eujjoObB0HTQ0VZGRk4uT1eFR3dub3bduyHadPnS709hNSaoLzuLg4eHl6Yc36v2BZwVKyvXqNali4ZAFuXL9ZXG0khBSCd+GZOHktAE/9YlDD2YGO6RfYpfq48ES+XK0pDQQl5EsurSujzbD6fDkiNArbpx0r0CRFlWxNeQ86S5uJjElCYHwFGBoZ8vumTJyG16/86OCTMi3P4FxNTQ3qGurQ1NLMdZ+BgT60tWmgFCHy5PaDt7jvE4HIFHWUNzMt6ebIHK9rvpIyctk1ngkhOTX+yQWV25vCsKEAoZEh2DvvdIEmKWrTojrmTBZXbHn+OgLlbJpBQUEB8fHxGDlsFBITxV+UCSmL8gzO2R9JtWpO2LNrb47trNzg9q1/o269usXRPkJIIU0+5Pn0HV+uRfXNv5rS8uSqODivWMMMaloqdN4R8hV3bt1DZHoIBAoCaDkI4HPvNY6tviqpvCKNiaPboUu7mnz5yp0Q1GnSgS+/fPESM6fOKtBzElKq65wnJCRAV08Xc2bNxbF/j8PRqSofSc1GVvv7+WPgzwOwdLF48IaGugbGjBfP+kUIkT2Pvd5KJh+i4Dy3EL8IhAdG82XHxjQQlJC8VHdxwuOHT5CUmAQFoSKEojTcPuYJfVNtNO7tItWBY2ktG1YMxsvXwXj6PBAnrkahRc06eHTPA0f/PYbmLZujfcd29GaQMifP4Dw1JRUvnr+Enb0dD9Q9bt8R/4KiImztbOF+67bksSyIl+fgnCYhIqXdvUfi+uaMa3VK2cgrpUUgAKo2pONDSF7U1NXQsk1zBLwNhLOzMza/+Adh8VE4tf46dMtpwqmJdOM1NNRV+AyijdrPR1RMAu75asDSzBwtWzVDKzfxAFRCypo8g3MWcJ+/fBZlAZuEiN0iIyLx64gpJd0cQgoVS0WLDX6J7i0skZqpAA11JTrCeQTnJrYG0NRTp+NDyDfY2lfkN2bw752xdsQBXrll/8Kz0NLXQAVH6ca0WFkaYce6Eegy4E9Ex6XByLA2Jk6dwuurE1IW5WuGUEKI/IoIj4SqKAuONrqobqPFx5OQT0LfRSLEP4IvV3Qxo0NDiBQMyuvg56WdoKikgPTUDOyYcUKSIiaN5o2q8kmKmJd+YRg+cZsk5zw1NZVPiEhIWfHN4DwkOAQnjp+UrO/esRstm7bGhPGTkJyUXBztI4T8oNevxANBGZGKGs/zJJ94XXslWbZ2Lk+HhhApWVYxQefJTaBsBN6Dvo3VQI+Wvgb6+OFu6N6xNl8+ceYBlq89haD3QejZtTefCJGQsuKbwfn8OQskl5XevX2HBfMXoX6DevB64oUN6zcWVxsJIT8gJkmAHSdf4YJHEGzsqX53XiktLMDQ0FWlc40QKbDebW/Pp7jrfQv6LopQUAPC30djx8wTUtdAZx0H65f/DMfK5nx9wYqjGPrLWDx+9Bir//wL165ep/eGlO3gnOWp3rh+A02bNeHrly5eRvPmzTB3wRwsWroAVy5dKc52EkIK6PHTAPi/j4eHdwRatKQSqJ9jU5CzyYcYqtJCiPTS09Nx++ZdXkQiMysT5k00+PY3XkE4uPgcMjOlK4eopqqM/ZvHQk9HnQf+j/w1oampyZf/N+ZXvH//nt4mUnaDczYBAPujYtP2MvfvPUD9huKZwUxMTBAVJX1OGSGk+D309Oc/K9uXh6oKDbD63LNbn2YidGxkU+zvDSHyTiQSwa29uKqKhoY63Lo2R+V61nzd88pLnNkk/WziFSwMsXP9KAiFAsQmCpClVYNvj4qKwqjhY5CSklLIe0GInATnGhoaUFVTxflzFxAY+B5XL19FvfriXjd//zewsrYqznYSQgrogecb/tPZif5mv/T0lrjEZDkrfeiZatM5RkgBmFuaoW3H1hg4tB8q2lmj75y2MLM34vdd3X8ft497Sv2cTRtUxqKZvfjymxABylesxZc9H3li0fzF9D6RsptzPmbcaAwbPBwNajfkvebWFcXfho8cOoIePbsXVxsJIQX0PjgSIaHiq1wu1Sg4/1xSfAr8HosvkVduQLXNCfkRDlUrQUVVPLOukqoIPy/tDN1yWnz96Mor8LktvoInjTG/tEKvLnX4sqe/CspbisfM7NqxG8ePHqc3jJTN4HzQ4IG4ePU8DhzZjw2b10ly0Zs1b4p2HdoWVxsJIQV05uQFDO9mh/YNzWBrqUvH8TMv7rxBZkYmX65SX9zxQAgpHFr66hi8rBNUNJSRlZmFPXP/k4zvkGaA6Jqlg1CtqgWfIexJgD50dPX5fdMmz4DvS/FgbkLKXJ1zG1sb1KlbW1IbWSgUonPXzvynrGEDRlgazvq1GyQzmhJSlkWGh8PUUA01qxjA2ECtpJsjU565i/PNNfTUYFapXEk3h5BSJTExCY+8HqDrtMZQUBQiNSkN26ceQ9SH2AINENXX00CWQAmhqTY8HnGs5ghtHZ0iaz8hJUn2IuwfMGbkOBw59A9iYmIwZuRY7Nuzv6SbREiJYdUThFlpkvXyZtLN2leaZaRn4rnHx4Gyda35wDNCSOHwf/0GOzbvxjPv5/Dxf4puk1vw7bERCdg+5RhPKZOGhZkBdm8YDQUFIWKTVaBm0hgbtmyGkZEhvWWkVCpVwfn4X8di87aNmD5zGqbNmIq7d+6WdJMIKTGKIkVsO+6PA+f8EZeuBjV16jnP9sY7CElx4gDB4WNlCUJI4RApiZCUKJ6EKPh9MHSslNFqsLigBJuNd/fsU8hIl27Gz0Z1K2HxLPEAUf/gDIyYuJ2n2RJSGikW1wux6XfP/HcGB/cfQnh4BE78d0wyeCRbQkIC1v21HrduufMSjh06tEO/gf0kMxqePX0W3l5Pcz13VccqcGvrBruPE6yw9JYL5y+gR0/xVMCElEV+b0MRECK+hDyxapWSbo5MeXZTXKWFTTlu52pR0s0hpFQxMy8P55rVec95s1aNYWNfkd/YvAL3zzyD7/13OLbqCrpObC7VjMWjBreEp/db7PvHHWcueWLxyuOYNKoN5s2Zj249usK1pmuR7hchpS44/+XnYdDW1kK1GtWwYe1GZGTm/tY8YugohIWGYtrMaTw1Zdb03xAWHo4Jk34VN1ZRJKm7/jm2/fMJEaZNno569euhRavmRbxXhMh+fXPGmSq1SLAv79n1zW1dLXhlCUJI4WrQpB5q1XWFuoa6ZFu3SS0QFRKL148C4XHCC4YWemjU0znfz8kC+dVLBsLnZRAeeb3B0lXHceXkVrz29cHlS1fw37mTMDAwoLeSyL1iC843b93Ie8rPnT3/1ftZCsqNazdw+vx/qFzFgW+LjY7BogVLMGzEUF53nQXb3wq44+PjMX70/9C2fVv+LZqQsiy7vrmWpipsrIxLujkyI+xdFJ9enMmeLIUQUviTE7Hb5xRFChiwoAPWjNiP8MBonFp3Dfqm2qgiRSlTNpHa/i1j0KDdPIRHxMEnUAQ2tdqHkA/8//+ufTslBSwIkVfFlnP+ZQrLl267e8C4nLEkMGeatmiG5ORkPHr4KF+vMXjAEERERMLfzx8rlv2BwwePfPPxLCcuMiJScoumWU9JKcFyMbN7zms4VpDJ6kolPfEQQ/nmhBQvJTVFDF7WGWpaKsjKAvYtOCN1iUUzU33s2TgaiooKiE3VhZK2eHbfWzfdsXLFqiJqOSGlsOf8e4KDgnONvM5eZ/flR5t2bRAfFy9ZF4m+vXtnT53HscMnc20P8Avmo8pJ4WN1pd+8DKBDW8SCgoLRxEkFduUqQldPk475ZzyvvOA/DS11ERUZxW90fhJ5IM+fnyzl1OuJF2JiYtG4SSO0Gl4bJ/68zkssbpn8L7rPaAYNXdV8P5+ZrhqmjHDD4rX/ISjOBGYaMUiOD8Pav9bBtJwZ6tWtV6T7Q0rX+SkLKtiZy15wzv5wRSJ2ceoTdkmM9filpaXn6zl+HjJIqtd0a98KjZs3lKyznvN50xfD3NoEevp6Uj0XyR/2h/v5CUiKhpfPC6goKcDaTBMaOlp0zD9KTkhB8KsIvuzU2C7XcaHzk8gyeT0/01LTsHPrXsREx/D1yJhw1O/gDGVFZRxcch4JUUm4uOUeRq3pKdUYkOmTzRAQGoPdh24iKNEaJqqJSElKwNJlS/Df2ZMwt5C/YyXP5PX8lEUyc61bV1cX0VGferAY9ofMLs/r6RXNzIaqaqo8CPe4eRezpyzAikWri+R1CCluAQGfrjZVsKIPy2yvHgZIZgWtVLsCnZiEFFNpxYq2VpL1t/7v+MBs1zZV0Kx/Lb6NpbbsW3gGmZlZUg0QXblwAFyrWyNToILQFGu+LTYmFiOHjUZysnT11AmRFTITnFd1qoq3b98hMjJSsu3B/Qcf73Ms0tdu28kNa7etxMIVc4r0dQgpLgFRilh/6DnO3g6Ga82qdOA/eu4hHiSrqqEMcweaFZSQ4tKgcT0YGhmgWasm6NKzk6SEYush9eDUxJYvP73xGqc33ZDqeVVURNi7aTSMDLWQJtBDqkg8yDsqMhLBQUFFsCeElKHgvGWrFrwXmw3mYL3liYmJWPvXejRs3BDm5mYl3TxC5Mpj73f4EJkMRTVd6BtQihbDeupe3BUH53Y1LfmU4oSQ4us97zf4J9RwrZajtjmbnbf3TDfJl+Vr+x/gzikvqZ67vIke9mwQDxCNSS8PZd3K2H3wAKysP/XWEyJPiu2/07q/1qFVMzfMnz2fr3dq14Wv3/EQz+KppqaGLds349rV63B2dOU39of2x6oVRd6208fPYsyQXzFr0rwify1Cihr7cssm6mCqV7WkA/5R6NtIRH+I48v2lNJCSLHLq2qUSFkRgxZ3hI6xJl//94/L8H3wTqrnrlfLDivm9WW5Lngfa4gJsw8i42MKGyHyptgGhPbo1QMtWrXItb28WXnJcvUa1XDt1hUEBgRCSUmJl1YsDiythd1YOcVfR0wpltckpKi8eReO2Djx1NkUnOdOaWHsa9GXFkJkQVhoOL+6p6WvjsFLO2Pd6INISUzFrt9OYeyG3jCyzP+VvyH9muCx1xvsOHAdF695Y/7yfzB3anccPnQEbm1aQ0tLq0j3hRC56zk3MjaCfSX7XDc2udDn2OUuNsK6uAJzQkqbR17i2S8Zpyo0NX227JQWExtDaBnk/NwhhBR/hbYbV29h97Z9eHT/sfhvs6IB+s1tC4FQgOT4FGybegwJ0eKOhvxg8cMfC/qhlrN4UqM/1p1Ct64DMGXCVEz6dQpPbSNEHlDSJaW1kFLmtdcD/Nq3Mvq2tYaxvlpJN0cmsJ44P8/3fJmqtBBS8u7feYi77vd5wHzzqrtkvoFKdazQaWwTvhwZFIOds04gPTV/5ZQZZWUR9m4UDxAFBLj7UNxZcf7seWzeuKWI9oaQwkXBOVVrIaUIqycszEqDjqYS7Cy0oKKiXNJNkgmvHwciIy2DL1O+OSElz6VmDWjraPNlPQP9HCUU63erjvpdq/Nl/ydBOPz7Bal6vU3K6YoHiIoUEZ1ZEUIl8ev8vmQ5PG7fKfR9IaSwUXBOSCkSEfGpFGlGlgBq6tRz/nm+ubKaEipUNSmx94cQ8ql6S+t2LVC/UV30GdgzV1WpDmMaS65yPTz/HBd33ZF6gOjS2b0BgQLC0+0gVBAhIyMDY0aOReiHUHobiEyj4JyQUiRToITF272w7ZgvdMpRGbEv881tXSygoKhQgu8QISSbuaUZ6jSoBQWF3H+TrNRp37ltUc5Kn6+f33YbnpdfSHXwhg9sjj7d6iFToIboLHEt9fCwcIwZNY7nvBMiqyg4p5xzUoo89nqL1LRMvAtJQO3aTiXdHJkQERTNc1cZO6rSQojcUFFXxuBlnaGhJ74CeGDxOQQ8D5FqgOjqJQN51apUgSGSBOI5U+563MXypUVfppmQgqLgnHLOSSny2FvcQywSKcDB7lOZ0rLs1YMAybKtK1WvIUSWRUZEwff5K8m6bjktDFzYAYpKCkhPzcCOGScQExaf7+dTVVHCvs1joKergQSBFTIVdfn2nX/vQnBQcJHsAyE/ioJzQkqR7MmHqtibQUmp2KYxkGm+999J/snrm4oHhhFCZG/ytLu372PX1r04ffIcYqLFV7uYClVN0WNKS74cG56AHTOOIzU5Ld/PbWFmgF3rR0KooIDoTHsoqhpgz4G9MDGl8SdENlFwTkgpqtTi7SPuJabJh8RYBYhXDwMkveafTxtOCJEdLAfc86EXH7SZnpaO86cv5bjfuZUDmvWvxZcDX4Ti0JLzUlVwaVK/MhZM74FMgTJCUipj1TZ3qntOZBYF55RzTkqJe3c9MbCtGUb1sEclS6rSwgS/DkNCTJJkMCghRDaxWcFbtW3Ol3X1dFC3Ye1cj2k9pB6qNrThy55XXuLCDg+pXmPcMDd061CLJaPj2On7WLXxDN/+6tVrCtSJTKHgnHLOSSnx8uUbKAgFMNZXhaGeekk3R6ZSWhgbZ/MSbQsh5NssrSzQoUtb9B/SF2bmucfMCIUC9J7Zms/yy1z420OqCi7sytn65YNR2V783HOWHsbkyQvQupkbDuw7SG8PkRkUnBNSSkSEi2fYYxwcqIwi4/tAHJyzf+YaunQ1gRBZZ+dgC5Eo7/EybK6Cn5d0LHAFF3U1ZezfMhY6WmrIykzHoQMHeSrNnN/mwuuJV6HsAyE/ioJzQkoJr3fpWL7LG1ceRcPGloJzNuW3/5P3/NhQSgshpYeusRYGLepY4AouFSsYY9tfwwChCNFw4BMVpaakYuSw0YiOii7SthOSHxScE1JKePsEIj4xHfpGRjQzKIC3z0KQliyeaIRKKBIin2JjYnHq6BkkxCfk2G5ZxeSHKri0blYNMyd0RoZAA3GoyLcFBgRiwviJvHIMISWJgnNCSoHk5DT4+okv7To6UG715/nmbKZBayeq+U6IvHnm5YMdW/bghc9LXDp3Ndf9P1rBZcrY9mjXsjpShCZIFpTj2y5fuoL1azYU4l4QIj0KzqlaCykFfF6+R0aGuLfHsTIF55/nm7MeNiVVUYm+P4QQ6SkqKvISsYzvi1cIDgop1AouQqEQm1cOha11OcQLbJAu0ODb/1yxEjev36S3jJQYCs6pWgspBTy9/ZBdwduxMpUMTIpPQeDHQWI2NCsoIXI7ONTW3gYamhro2qsTTEzFvdtfVnD5aZYbTG0LVsFFW0uNDxDV0FBHrKAyIBDxtJbxY35FbGxsoe4PIflFwTkhpUCo/1PMGOKIEd3toUKdxPB7HIjMDPHlbRoMSoj8atGmGQYN6werihXyfAy7Mvbz4k4FruBSydYUm/4cgkyBKmIFdhAIRZg1Zxa0tLQKZR8IkRYF54TIuZTkFCgIMqEkUoCJgSrU1alk4OtH4llBlVVFMK+Uu7eNECIf1NRUoays/N3H6Rhr/lAFl05tXDFpTHukCgwQjpq4dPdTaVpCilvexUQJIXIhOjoGqWksOBciI0sIZZXv/yMr7V4/DuQ/rZzK8wGhhMgiNngxKSYA8WFPkRj1Bslx75EcF4zUxAhkpCXyW2ZGKoRCJQgVlZCeLkTkExMoaxhBWd0IKtrmUNezgYa+LUSquihLWOoJyxn/HBtf0nNqK+xbcEZSwWXkmp5QyuflxN8mdsFjrze4eM0bO/Zfg0s1K/zcpzHS0tIgEtElSVJ8KDgnRM6lZyli8bYn0NVWwpxJnVHWJcYlI/hVGF+2rm5W0s0hRCIzMx2xIZ6IfHsTke9uITb4MdJT46Q6QslRT7+6XUndCDqmztA2dYWOqQu0TKpDQVGl1B39xIREXD5/DUrKIrRq2yLX/TVaVsKHNxG4tPuupIJL37lt+eyg36OgIMT2NcPRuP18+L8Lw8TZe5CeGIydW9djx56/YWMjLrlISFGj4PxjtZbTJ85RbVMil7yeBYBlV0fGpMLF2QFl3Zsn75FdTY2CcyILAXnUu1sI8TmBUN8zSEvOK11CAGUNY6homkJJzQAKSupQUFTlPeas95zd4qIiIRImIiUhDCnxIchI+1T7OzUhFKG+Z/mNEYpUoWdeHwYVm8PAqhnUdOR/oHh0VAz27TiIpKQkvm7vYAdLq9z71WpIPXx4EwnvG694BRejCnpo9XPdfL2Gno4G9m0eg2adFyElKQ6L5sxi7yJGDh2FY6f+hbq6eqHvFyFfouD8Y7UWdouMiMSvI6bkOkiEyDJvnwBJr08lW6rn/fpRoGSQmJm9UQm/O6SsSo4LQuDjPQh8spcHzjkIhNAydoKuWW1oGleFplEVqOtVhFBB6ZvP+eZlACrYmUtSYlITw5EQ4ctvsR+8EBP0APHhrFJJFjLTkhDud5HfGE1jR5g4dEE5h078C4A80tbRgqGxAd69EX/mvXr5+qvBeXYFl3VjDiLIN4xXcDGuoI9qTe3y9Tqs4tW65T9j8NhNiBdYQSPrNXxf+mL6lBlYvXZVvnrhCfkRFJwTIue8PgbnrFavCpVqgZ+nODivUNUUCooKJfzukLImLswHfu4rEfryNLKyMiTbFZQ0YGTTGkZ2baFnUR8iFe0feh0WICqrG/KbnkU9yfa0lFgepEf4X0WY3yUkRr4Wt+uDF7+9vLoAuuZ1UN6pD4zt28tV6gvb51Ztm+PQ3n/QsEl92Fe2+24Fl9XD9yE+MhEHF5+DQXkdlLfL3xf2np3q4KGnP9ZuOQdRVgyUEY4Tx07CtaYLBgwaUIh7RUhuFJwTIsdSU1Ph+/o9X6bJh8Drm7/3pXxzUvxYj/XrW3/gw4uTObbrV2gEs+oDYGDdvFgCYZGyFgysmvKbfbN5SIx+izDfswj2OYbYkMe8Vz0q4Da/vbg8G+Udf4JZtf5Q0827VKEs0dbRxpCRg3INBs2rgsvAhR2wcfwRpKWk8wou4zb/BE29/KWmLJzRE55P3+GmewYUMhOgiCQsmLsIjk5OqOFcvRD2hpCvozIGhMixF89fo1sjQ0weWAVVLeWnB6yovPF6j6xMccK5dXVK8SFFLy05Gj4XZ8L972aSwFyooAxz58Go/8tNuPQ8CGO7diXWQ62mYwnLmsNRZ8AZ1P/lFio2mAxVbXEqSFpSFN7cXY+bW+rh8dHBiA56CHmQn8A8G7uC1m1Sc74cHRqHXb+dQnrapysa36KoqICd60bC1NQQccIqyIKQV24ZPXw0IiMjC9x+Qr6HgnNC5NiL5/78p4aqCHq6NFApu4SiSFmR6puTIsVyvt8/2Y+bW+oj4OF2ICsTAgUlHpQ3GHYbDi0W8TxyWaKuZ42K9Sbw9tXovgeGFVvx/HfWm84Gq97d0w73DnRHuP9Vvn/yJCY6Js/7arapgoY9nfnyG68gHF15Od/7Z2SgxQeIKqpoI14gTqMJCgrmM4hmZOQvyCdEWhScEyLHPoRGISO7p9iaygb6PRan+FhWNYGiiPLNSdFgtcgfHumDp2cnIC1J3IPKcskb/HKTB+UqmiYyfegFAiEMrZujRredaDjMA5auw6EgEk9exirLPDz8E+7uaY+ItzchD5OwXTh9Cds27ERwUN6zgrYb0RB2NS358t1T3nD/1zPfr+FSzRorF/ZHitAYSQLxe+tQ2UHuvsAQ+UHBOSFy7E0YeI3z/effwcXVEWVZcmIq3r/8wJephCIpKsHPjsJ9e1M+4JJR060I5x77Ub3zNqhqiyupyBPWZvtmc9FoxH2e8pI9mVFM8EM8ONgD9w/2Qkwwy1WXTWdPXcCTx948UD536iLS09O/+jg2GRmrd25gpsPXT6y9Ct8H7/L9OgN6NcKQfk2RILBBjNAJSUJrKCrSsD1SNCg4J0TOK7WkZ2TBuJwxNDQ1UJaxy9WZGeKerIrV6CoCKVyZ6Sl4dm4KvE6NQnqKOIXCwmUo6g66AAOrJnJ/uFlQzlJeGg6/D9vGv0GkIg7SI99ex53dbeB5fCifzVTW1G9UR5KDrqamitSU1Dwfq6apgkGLO0JFndWOz8Lu2acQ/j4636+1fG4f1Ha1RZpAFys3nsG/p+4Vyj4Q8iUKzgmRU6yn6KmPOMeaKrUAfh/zzRWVFGDuUK6E3x1SmiTHvsfd/V0Q6Lmbr7M64a69jqBS8/lQEKmiNFFUUoNV7VFoMNwD1nX/J0l3+fDiFG5tbYhXN35HemoiZIWBkQEaNq2PFm7N0KNvV6ipi9ubF1bvvM9sNmMokBSXgh3TjyM5ISVfr6WkpIg9G0bD2FBcBnPkpG24cNkDk36djJSU/D0HIflBwfnHGULHDPkVsybNy9dBI0QWBH+IRlSMeIbAqg7ydzm9qAaDWlYx4QNCCSkM0UEPcHtXa8QGP+Lr+hUao86gC9CzrF+qDzAryWjTcCoaDLsD8xo/QyBQQGZGCvxur8StbQ15aUZZybl2re2Mas6O+Z4cyKGuFdqOaMiX2Uyi+xecRebHsTvfY1JOF3s2juaVXJITIjF04EAcOfQPFsxd+EP7QMjnKDj/OEPo2m0rsXDFnBwHhxBZ9tjTF0oi8Z9wZbuyXTYwNTkNgc8/5ptTSgspJKG+53D/QHekJUaIz626/4Nz971QUtUrM8dYWd0ADi0X8y8kuhbiLyQpcUHwOjkSDw71QmLUG8ijxr1d4NyqEl9+5u6Hc9vc8/27dWva4ve5fZABNaRmitMJ9+zai6P/HCuy9pKyhYJzQuTUc8/HmDnECf/r4wDN0nVlXWoBPiHIzMjkyxWc5HNqciJbAh7txONjg5GZnszrljt12sJ7kgXCslkFSNPQAa69DqNapy1Q0RKP6Yh8ewPufzeF/521yMxIgywJCf6AqMi888lZL3v3yS1hXsmYr1/efRePLj7P9/MP7d8UfXs0QJzQARlQ5tumT5mBF89fFELrSVlHwTkhcohdTk5PTeLLulrK0NXVQlkfDMoIFQSwqCzbZeyI7PP3WAOfC9N47XJFFR249DqIcvbtUdaxgNbYvj3qD7kOq9pjxKku6cnwvbaIDxqVhaoubJKga5dvYt+Ogzj/38Vvpt6w9LeBizpCS188R8ShpecR+EJ8BS4/x2LV4gFwcqyIOGFlZEGA5ORkjBw6CnFxcYW2P6RsouCcEDnEavumpol7ilmqpK6euDxYWQ/OTSoaQkVNqaSbQ+SY3+3V8L2+mC+raJVHrb7HoWtWu6SbJVPYIFjbxjNRe8BZaJWrxrfFhT7FnT3teKCemZF3xZSiFhoShvseD3hQHhjwHk8eeX3z8dqGGhi4qAMfSJ6emoEdM04gNkI8lud7VFWUsHfjGGjqmCBBIJ5wys/PH1MmTJWZfHwinyg4J0QOKSkr4a8Dz7FkuxeSRUZQUCibl9oZNpDr7dNgvlzBkVJaSMH5ua/EqxtL+bKKtjlq/nQUGvriWSFJblrGVVG733+wbzoXQla1JiuTp7jc2d0WcWH5TxEpTOXNTfngUMa4nBFMyn//Shq72tZtUgu+HBMWj12zTiI99ev10r9UwcIQf68djhRheSQLjPi2M6fPYtuW7T+0H6Rso+CcEDn0NiAciUmpSE7NQKVK1ijLQt9EICleXMasQlUKzknBvLm3Ea9u/s6XVbUtULP3P3I5qVBxYzn4ljWHo97PV6FrVkfSi+6xqzXe3N2ArMzin+KelVZs2rIx+gzqBSNjw3z9jqtbZT5IlGFf9v/541K+e79bNHbErEldEC+wQzrEpRxvu3tQ7zkpMArOCZFDz16Ip6lnKtuX7Uot/l6fjgX1nJOCCHp6GC+vzPsUmP/0LwXmUlLTsYDrT//ArskcCBSUkJWRipdX5/NqN8U9eZGysjKca1aXTE6UX22HN4B97Qp8+f6ZZ7h5WFw+Mz8mj2mPdq1cECesggRBBdRq0ivfpR0J+RIF54TIoWcvxQEpq7Vra1W2J9zJzjfXMdaEjpFmSTeHyJkwv0t4emYCX1ZSN4RLz4M815xITyAQokKtEagz4Bw0jarybVGBHri9oyVCfc/I/CEVKgjRd3YbGFqIZ0c9uf46Xtx9m7/fFQqxeeVQWFlbIUloiWkLDsDjvm8Rt5iUVqUyOM/IKP7LaIQUF3ap9fXrd1AQCmBjZcxnrSvLsoNzK0cKqIh0WHURNi19VmY6FJQ0eA1zNV1xzykpOE3DSqjd/z9Y1RnLQnakp8Tg8dHBeH5xFjLTS2YmzYjwSNxxv/fdx6lqqmDQ4o5Q0VBGVmYW9s79D2EBUfl6DW0tNezdPAZqqkpIS8tAvxHr4ecfhJPHTxXCHpCypFQF5899nqNz+65wsKmCNi3b8XVCSpuY6FjYGqbxGuedGhqX6bzG2PB4RAbH8mVKaSHSSIn/wAPGzLQknoZRo8sOaBmLBxKSHydUUIJtoxlw6XmAX5Fg3j3chjt7OyAxyr/YDnFmZiY8bt7F7m37cPOqO/xeff+1jSz00G9uWwiEAj6eZcf0E5JxLd9Txd4M65cP5suhH4Lg1rI9xo4ahwvnL/7wvpCyo1QF57duumPh0gV44eeDTl064o/lK0u6SYQUug8hofyngoIAKiqiMp3X+MZb3GvOUHBO8isjPZkH5inx4io/VdxWQM9SPPslKVz6FRqh7qBL0LNsxNfjPnjh9s5WCPE5XiyHmn0+Br0PllxRv3TuSr6urtvXqoB2Ixry5dB3kdg3/4xkorPv6d6xNsb80op9SiM5SVyWccL4iXj39t0P7QspO4o1OGffYG9cv8GnuE1P/3qZorCwMJw9cw5XLl9FYmJijvtSUlKQkJCQ68a2M0OGDoatrQ1iomOQEJ8AU1OajISUPgGBYUhKEf/9aOtQfXNGRV0J5az0S/idIfKAXWl6dm4yYoIf8vUKtUbBtEqPkm5WqabMc/n3w6bhNFbeBRmp8XhycgReXJ6DzMz8lSz8keC8hVtTiJRE0NPXRdtObvkuPduolzNcWjvw5ece/jiz+Va+X3fB9B6oW8eJzyDKrm3GxcZhxNBRSE5KLvC+kLKj2JJV9+7eh43rN0GkqMiL9LdyawlFxZwvf+L4SUybNB2O1RwRGxOL8PBw7Nj9N6pUrczvnzd7Po79m/vbdueunbB42SK+vGj+YuzfewAGBgbYe3B3Me0dIcUnNkWEpX97Q1NNEeeOTCvThz4735zVKWaDuQj5noBHfyP46RG+bGDdgqdekOIZLGpddzx0zevgyYkRSIkPwdv7mxH7wRtOHTdBWd2gyF5bS1sLPX7qCkNjg1xxx7fbLOD1z1nO+btnIbi6/z7K2xmhenP77/6uSKSIXetHokHbD4gOjoV61hs8e/oMc36bi2UrxLX0CclLsf03U1JSwr6DezB15tSv3h8REcED8wmTf8XBI/tx+vwpuLq6YOL/JkkewwLwZ77euW7ZgTkzf9E8+L55gTkLZmPsqPHFsm+EFKdnLwL5z7QMAao4WJXZg5+anIb3vmF8mVJaSH4HgL74WDJRXc8GTh3W8zrdpPiw2VZZNRedj7OuRgW485roMcH5L1tYECbly0kVmGcTKStiwMIO0NJX5+uHlp7H+5fi1MLvMTbUxp6No5GuZIVU6PFtB/cfwqEDh6RuBylbiq3nvEev7vzns2c+X73//NkLyMjMQN/+fSTfWAcP/Rk9uvTCi+cvYF/p+99Uf5sxG336/QQjYyOEfvjw3YFySYlJSEpKkqxHhkfyn9FR0VLtG8m/mJhYREaIjzMpmGfP/aGqBDjYGSEmuuyeq2+9g5GWlcK7GPQsNQrlvKLzs/RKS4nDo8OjkZwkhEBBG5Ua/YnY+DQgXn4+j0rP+akI6xab4Xd7FYK89iMxIhJX/u4F24ZTYVK5C2SOAOg0uRF2zz6F5LQ0bJl5GEOWdYa6tup3f9W2gh4WTOuC+ctSoJbpDSFSsGDOIphbWMDevnTNPlt6zs+So62jzdOuBFnFXOrh3NnzGD5kBJ6+9IK6uvibKDP3t3l8QOeFK+ck22JjY+HkUB2r161Cp84dv/vcd+/cxcJ5ixAUFIzKVSpjxqxpqORQKc/HHz10HMcOnyyEvSKEEEIIIaTgVm78HXr6esXXc/49sbFx0NbWyrFNS0uLf4NgAynyo1btWjhxOv8jwN3at0Lj5uLR2ExqairmTF2IhSvmQqEQ81dnTZqHhSvmFPtzSPM7+X1sfh6X12PYFYl50xdjzpIZ0NGV/4GMhfG+ysJr0vkpRuenbJxLZfnz81v30/n54+j8/LHjQ+dn0WLHl/WcMzITnKuoKCMhIWd1FjaqmZU8UlFRKZLXVFVT5bfPiUQiGBoV7sAUNnMY+yZU3M8hze/k97H5edz3HsMC8x89HrKgMN5XWXhNOj9zovOzZM+lsvz5mZ/nofOz4Oj8/LHjQ+dn0WLHN7uSkMyUN7CwtEBwUDAvt5gtMFA88M3C0rzY2tG2Y2uZfM6CPIc0v5Pfx+bncUVxDGVRSewnnZ8/fnzo/Cw6dH7+2PEpK+cmQ5+f8vf/nc7PovX58ZWZnPOXL16iVTM37N6/Ew0biVNN/lyxErt37MGdh7d5tRci39hAkV9HTJHkVBEiS+j8JLKMzk8iy+j8LFzFltbi+dgTfq/94fXEi6+fOnEKSkrKqFuvDsqZlIOdvR36D+yHX8dOwJBhQxAdHY3tW/7G0uVLKDAvJVRVVdG5Rwf+kxBZQ+cnkWV0fhJZRudn4Sq2nvN/Dv/LZwf90tDhQyWTDLGmnDrxH9xv3YayshLadWiLmrVqFkfzCCGEEEIIKXHFntZCCCGEEEII+TqZGRBKCCGEEEJIWUfBOSGEEEIIITKCgnNCCCGEEEJkBAXnRCatWbUWdtaV+O3BvQcl3RxSxrEJ0eb+Ng+d2nXG7JlzkJSUVNJNIkRi5rRZks/LwMD3dGSITGGlskcOHcU/P5csWspnYyffRsE5kUkjx4zAk2eecHFxQWbWp4mpCCkJS5f8jrCwcMxdMBcxMTFYtmQ5vRFEZsxbOJd/XpqVL8+rnhEiS2bPnIuOnTtg9rzZuOtxD9u2bC/pJsm8YqtzTkofby9vfAj5gEZNGkEkEuW6PzExEZ6Pn0BJJIJTdaevPiYvioqK/CYUCgq51aSsCg0NQ1RkJGztbPk0yV9iQU1gQCCUlZVhZGyU475zp8/h0NGDMDc3g6npdHRo2wlz588uxtaT0u7xI09EhIejafOmXz0/4+Li4PXEGyoqKnCq5sg/H7/8vISAPi9J0Qj9EIqoqCjYV7L/6v3s8zPgXQBUVFVhZGSY4749B3ZJztcWrZojOTmZ3qbvoOCcSI3Vot+wbiMiwiMQEhKCh173oaeXc8bP69duYOyocTAxMeEpAOlpadi+a5vkD3vOrLnYv+9Arudu374d/vzrD3pXSKFxv+mO7Vv/xm13DyQkJOSanTg7MBo3ejxiY2L5Pw4W/KzduFbyTyYsLAzly5vyZeNyxnyStMzMzK8GUYRI498jR7FpwybERMfyz9Pnr32goqKc4zHnz13AxPETYWFpya/cKCgoYMfu7bCytqKDTYoU+1/+99a/ccfjLu9we/X2ZY4vhsz9e/cxfsyvSExIRGJSIpydnbFu0xpJXJD9eH8/f34ub9+5ld6176D/LERqrPdx2YolWLpiyVfvZz0840aNR7/+fXH24mlcvXkZVZ2q8j/ebL/NncUvw355W/bHUnpHSKG6ddMdPX/qiRUrf//q/ewfzrAhw9G4SSP+RZPd0tLSMfF/kySP0dDQQFxcPF9mXzZZ7yUF5qQwsGB79dpVmD1v1lfvj4yMxIRxEzFi9Aj8d+4krt26AgtLC0z832R6A0iRu3XjFvoN6Islvy/K8//9sMEj4NamNf/sfOB5j2+bMnFarivtUyZOxbqNa6Gvr0/v3HdQcE6k1n9Qf1R1rJrn/ZcvXUF8fDyGDv+FrwsEAgwbMQzPfZ7jqfczyTdp1jv05U2a1BdC8mPytElo1bolhAoKX73/wvmL/CrQr5P+xwNuNTU1jBk3Cjeu3UBAQCB/jLNLDRz795ikp5OtE1IYfh4yCJUcKuV5/7kz55GWnsYfx7Be82EjfsHDBw95TyQhRWn6rGlo3rI5BHlcJTxz+iz/fz9+wjj+v551ZIwaMwKXLlziqTDMlctX+YD69ZvXwcysPL1h+UDBOSl0Ps98UM6kHHR0dSTbqlStIrkvP44fO8ErD7BUhL69+sOtRVt6p0iR8H7iDUtLixypWS6uLh/v8+I/p86Ygk3rN6GWcx2sXb0O02fm7BUipKiwz8wKFSz5l8ZslatU5j9ZhwezeeMW/nnJgvXmjVpgUP+f6Q0hxfb5aV3RGlpaWjk+P1kOOustZ4b/MgLvA4PQq9tPaNaoBZYspCvk30M556TQsbxdHZ1PgTkj7hlXQWxsbL6eo0PH9mjt1lqyTgNDSVFhg5x0dHVzbNPW0ea96JGRUXydjZW4dfcmHwDNcs5ZDxEhxYF9Zmp/8Xmq+/F8zf48HTJ0MAYMGiC5X0GB+t1I8X1+Zp+P2bI75rI/P8+cP40sfKoipKWpSW/Pd1BwTgqdkpJSrjrQbPAcq22a37QVFhh9OSiKkKLAUqzS0nLW3U1LS+PnrEj06SOSBeTsihAhxYl9ZiZ/8Xma/fkqEilJUl3YjZDipqiQ+/Mzu4559udnRRtremOkRF+vSaEzMzdDaGgoMjIyJNtCgkN4sGNuYU5HnMgUE1MTXmbxc9nr7D5CSpK5uTmCg0NybAsOChbfZ2FWQq0i5Bufnx/o8/NHUXBOCh2rehEXGwf3W+6Sbaf/O8NzJmvWcqUjTmRK3Xp1eLrKs6efxkNcuXgZyirKqOFMAz9JyWrctBHCQsPw4P5DybbTp87w1MFq1auVaNsIqVu/Dt69fYfXr/wkB+PKpcu8XK2TkxMdoAKitBYitVe+r/D2zVt4ez/l66yqBRuh7VjNideFZpO8/NS3Ny/1NXb8GF6qbuWKVZg0ZUKu+tKEFNfkGUHvgyTnLxv/UN6sPD9va9WuhYaNG2LC+AmYPms6r2G+/Pc/MHzkMH4/IUWJDep8H/geXh8Hz129chUiRUVUd67OS86xAJzNrjhu1DiMHjeal7Jd+9c6zF0wh6cQElKUWMcF+0xkV7+Zly98+ZgGdhWcdbg1aNgAtevW5vNETJs5BeFhEVj1518YNXYkVFRV6M0pIEEWzfVLpHTowCGcPX0u13b2x+haU9wzzlJYDh88jOvXbvIZQt3auaG1Wys61qTYrftrHY4fO5lr+4LF81G7Ti2+zCYnYgGP+63bUFZSQvuO7dB/YH8a+EmK3O4du3mpuS9NmPyrpGRteno69u89AA93DyirqKBDp/Zo2qwJvTukyP25YuVX/98vXb5EUlKW1TVfs2ot7njc4TOEduzUAX3796F35wdQcE4IIYQQQoiMoJxzQgghhBBCZAQF54QQQgghhMgICs4JIYQQQgiRERScE0IIIYQQIiMoOCeEEEIIIURGUHBOCCGEEEKIjKDgnBBCCCGEEBlBwTkhhBBCCCEygoJzQgghhBBCZAQF54QQUkrc8bgLO+tKCAkOgaxhU9SztsXGxhbo9x0rOaFRvSY4dPCw1L+7bct2DOg7CMXJ28sbtV3qIiamYPtLCCm7KDgnhJBSIjMzE6kpqcjKyiqxNrjfus2D8LCwsJxty8j42LaCPe+dhx7o0q0zZk37Lddzf0tkZCRW/bkaY8ePRnGq6lgVVatWwZpVa4r1dQkh8o+Cc0IIIYXmR4PwvKipqWHMuNHQ1NTEP4f/zffv7du9H6amJqhZqyaKW9/+fbB/7wHExcUV+2sTQuQXBeeEECKFBnUaYevmbZL1Hdt38p7iz9Mt1q1Zj9bN3fiy32s/fj+7OdhUQbOGzTFv9nxJekd8fDyqVamBg/sP5nqtNi3bYc6suZL1gHcBGD/mf6jlXAdOlatjUP+f8erV62+293u/k51ucvbMOfTs1hvOjq5o1qgFdu/ck+u53G+6o1O7zqhq74Qm9Zti59+74NaiDdasWitJq/l5wJCPx6khf96WTVvneI7bt9y/+zp5EYlEcKhcCYf2H8r37xw+dATt2rfLse3fI0fh6FAt12NZW9ev3ZDr2LD3tnvnHqhR1QVNGzTDgX0H8fbNWwz/ZQTfj3o162P50hW5rlg0btoYQqEA/508ne/2EkIIBeeEECKFmjVdcf3aDcn61StXoa6mjmtXrku2XbtyDa41XfmylbUVnjzz5Lf7nnexau1KPHz4CNMnz+D3a2hooEnTxjiwL2fA+fDBI/g880Hnrp35Ossj79KhK4KDQ7Bzz984f+ksTE1N0adnXyQkJHy1rfn5neye7lV/rMLU6VNw6doFDB3+C36bMZsH29nevX2HQQMGw8XVBReunMOmbRtx/OgJPPd5gfSMdPGxqeWKzds38eXL1y/xff7v3MkcbWIpJt96nW9hXypu3XSHn58/7t75/u+8f/+eB9Eurs45tmdkZCAlJSXX41NTU5GRniFZzz42f2/dgdnzfsOl6xfQyq0Vpk+Zgb69+6N9h/Z8PxYtW4RNGzbjxLETOZ5PQUEB1WtUx80bt/K1f4QQwlBwTgghUmjQqAHu3bnHgzsWzN31uIfR40bxXmWW882C3kcPH6Nhowb88QKBACoqyvymrq4Op2pOmDFrOk7/dwbJyeIAsWevHnj08FGOHu3DB4/Azt4ONZyr8/Utm7YiKSkZGzavg0NlB5QzKYf5i+bx3uS9u/d9ta3S/M6CxfN5EKurp4uf+vaGdUVruN9yl9zPrhaYm5vjt7mzYGJqAvtK9vhz9Qq+f9mEQiFEiop8WUlJie8z+ynN63zLpvWb4OhUFbXr1s71ZeZrXr/y4z/NLczxIxYsnsffNz09PYwZP5r3kLdr3xYdOrXn+9G0WROeNsPy7b/EXvuV76sfen1CSNlCwTkhhEiBBd1JSUl4cP8hvykrK6P/wH48UH/q/RQe7h68Z7Zuvbr88SyQY9VC2rt15GkRLE2i/08D+Pb3ge/5Y+o1qAczczMcPiBOjUlOSsapEyfRs1f3HD3pzi41oK+vL9mmqKjItz3x9PpqW6X5HVtb2xzrenq6iI6Klqw/f/6Cf1H4PBivYFUB+gafnjs/vvc6eWFXAVhP/YhRw9GjZ3ec+e/Md3O5Yz9WStHQ1MCPsLGxkSyznHfWI17RxjrHY3R0tBH1lf3Q1NJEbEzMD70+IaRsEXdxEEIIyRcjYyPeo33rY6oCC6xZgF6nbm3cuH4ToaFhcKzmCG0dbX4/C8zXrF6LZcuXwNnFmQdrLIjv3rkn0tPT+GNYwNu9Zzfemz152iRJr3qX7l0kr5uRkc5TOlhw/zmWhsFSJ75Gmt8RCHP31XyeQ52VmZkjMP+8t1wa33udvLCrAOXLm8KtrRu/ajH3t3k8WO83oG+ev8OONZMQn8B7vQvqa20WCPK3H+y1tbS1CvzahJCyh4JzQgiRUoOG9XHzxk2+3KffT+JtjRrgwrkLPDhv7dZK8ljWk85yyllQme2p97Ncz9mjV3f8tXINrl6+xlNamrdslqPHm5Xm09LSwtYdW3P9Lht0+DUF+Z282Nja8tSbzwW9D0JYaM6yhooikSSYLywx0TF8EOasOTP5lwFVVVW069AWhw4c+mZwzlJmsgfFfpnakpaaxr8AsdQbhl3t+HJfCkNgYCCsrKwK/XkJIaUXpbUQQkgBUlu8nnjzGwvKswP2e3fv8/zi7G3ZA0JZXjrLJ09LS8PVK9ew6o/VuZ6zfPnyqFe/LtasXgOP2x7o1btnjvtZOoeXlzc2bdiE+Pg4KCmJEPrhA7Zt3opj/x77ajsL8jt5GTJsMN+31Sv/4nn1LM1k6uTpuXqLWXoO8+jRYxQWVhVGTV0NXT+7ksDy9FlqzrOnPnn+nrm5GW8PS+/5Emv3qj9X8RQltj+/L12OxMRExBRiCgp7DTb+gL2vhBCSXxScE0KIlNiARJa7zXKuWVDN2NrZ8p5u1qv7eXWQcb+OhbOrMzq4dUSlipWxdNFS/DJcXG7wSz1694Dn4yc8daZRk0Y57rOwtMC/x//hFVxYOT87q0oY0Gcg7/1t3eZTr/yP/k5ebGwqYt2mtTh65CgvpcjKPNaqVRMmJiY5Bn2amZXn+8yq0dhWsM9VSlFaLP+eBeeDf/mZpw9lc6npgoo2FXnv+bd069GVpwl9SUlZCQpCBdSv1RB1XOoiMiISo8eO4q/FboWBpT4lJyejfcf2hfJ8hJCyQZBVklPJEUKInGJ5z7w6ycc0DoYNCmW+rFCSjX3csrxt9jMlJRXKyko58riztyso5Hzer2GVYb7M9+YzhKamSVI1fuR32L6wx7IvIV9iKSBsUCQbyOlSrSZWrVnJK5d8iV0pYPvEjkdBXofJ61h9+fx5YbOJNq7XFPsP70W16uLa5ixtaOb0WXjp91zyGtnP/flyXm1m7z1rLzsGn7eF+fx9Gz18DHR0dbBo6cI820cIIV+innNCCCkA1ov7ZQDNgsRvBYrZQV92ecUvg83s7d8LzPMaiMm25RWYS/s7bD++DJgXzlvE00hYAMvqnk8YPxF6+no8P/5r2H5kHw9pXudzeR2rL58/L4aGhhg1ZiT+WL7ym6/xteW82sze+88D8+y2fP6+sasVN2/ewoTJv36zfYQQ8iUaEEoIISRf6jesj2mTp+HFi5dQU1WDay1XHP73INTU1GT6CLI69EM/XtUoLqyiz/3Hd/P1RYsQQj5HaS2EEEKk8nnqhzxiaTnp6ek5ctgJIURWUHBOCCGEEEKIjKCcc0IIIYQQQmQEBeeEEEIIIYRANvwfiImqF0j/kmsAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 770x484 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "h, kB = H * Q, KB * Q  # J s, J/K\n",
    "c = C_LIGHT\n",
    "\n",
    "\n",
    "def planck(lam, T):\n",
    "    return 2 * h * c**2 / lam**5 / np.expm1(h * c / (lam * kB * T))\n",
    "\n",
    "\n",
    "def rayleigh_jeans(lam, T):\n",
    "    return 2 * c * kB * T / lam**4\n",
    "\n",
    "\n",
    "def wien(lam, T):\n",
    "    return 2 * h * c**2 / lam**5 * np.exp(-h * c / (lam * kB * T))\n",
    "\n",
    "\n",
    "lam = np.logspace(-7, -3, 4001)  # m\n",
    "to_slide = np.pi * 1e-4 * 1e-6  # W m^-3 sr^-1 -> emittance in W / (cm^2 µm)\n",
    "sigma = 2 * np.pi**5 * kB**4 / (15 * h**3 * c**2)\n",
    "print(\" T (K)   λ_max (µm)  hc/(4.965 kB T) (µm)   peak (W/cm² µm)   ∫πB dλ (W/m²)   σT⁴ (W/m²)\")\n",
    "for T in (300.0, 1000.0, 2000.0):\n",
    "    B = planck(lam, T)\n",
    "    total = np.pi * np.trapezoid(B, lam)\n",
    "    print(\n",
    "        f\"{T:6.0f}   {1e6 * lam[np.argmax(B)]:9.3f}   {1e6 * h * c / (4.965114 * kB * T):17.3f}   \"\n",
    "        f\"{to_slide * B.max():15.3g}   {total:13.4g}   {sigma * T**4:10.4g}\"\n",
    "    )\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(7, 4.4))\n",
    "for T, col in zip((300.0, 1000.0, 2000.0), style.sweep(3)):\n",
    "    ax.loglog(1e6 * lam, to_slide * planck(lam, T), color=col, label=f\"Planck, T = {T:.0f} K\")\n",
    "ax.loglog(\n",
    "    1e6 * lam,\n",
    "    to_slide * rayleigh_jeans(lam, 2000.0),\n",
    "    \"--\",\n",
    "    color=style.REFERENCE,\n",
    "    label=\"Rayleigh–Jeans, 2000 K\",\n",
    ")\n",
    "ax.loglog(1e6 * lam, to_slide * wien(lam, 2000.0), \":\", color=style.CONTEXT, lw=2, label=\"Wien, 2000 K\")\n",
    "ax.set(\n",
    "    xlim=(0.03, 300),\n",
    "    ylim=(1e-3, 1e4),\n",
    "    xlabel=\"wavelength λ (µm)\",\n",
    "    ylabel=\"spectral emittance (W cm⁻² µm⁻¹)\",\n",
    "    title=\"black-body radiation, as on the slide\",\n",
    ")\n",
    "ax.legend(frameon=False, fontsize=8)\n",
    "fig.tight_layout();"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "45ef24e0",
   "metadata": {},
   "source": [
    "The curves reproduce the slide: at 2000 K the peak is 41.2 W/(cm² µm) at 1.449 µm, the Rayleigh–Jeans\n",
    "line runs through the long-wavelength flank and shoots up past it, and Wien's curve follows Planck's\n",
    "at short wavelengths but falls below it at long ones. The peak positions agree with Wien's\n",
    "displacement law (9.661, 2.897 and 1.449 µm on the wavelength grid, against\n",
    "9.659, 2.898 and 1.449 µm), and the integrated power agrees with $\\sigma T^4$\n",
    "(459.3 W/m² at 300 K: the heat a room-temperature body radiates per square metre).\n",
    "\n",
    "### What Planck's formula means\n",
    "\n",
    "Klimeck reads the formula per unit frequency as a product of three factors,\n",
    "\n",
    "$$u(f)\\,df \\;\\propto\\; \\underbrace{f^2}_{\\text{number of modes}} \\times \\underbrace{hf}_{\\text{energy of a mode}}\n",
    "\\times \\underbrace{\\frac{1}{e^{hf/k_BT} - 1}}_{\\text{occupation}}\\;df .$$\n",
    "\n",
    "The first factor counts the standing waves of Lecture 4.1 in a three-dimensional cavity. In a cube of\n",
    "side $L$ the allowed waves have $\\mathbf{k} = (\\pi/L)(n_x, n_y, n_z)$ with positive integers and two\n",
    "polarizations, so the number of modes below frequency $f = c|\\mathbf{k}|/2\\pi$ is\n",
    "\n",
    "$$N(f) = 2 \\times \\frac{1}{8}\\,\\frac{4\\pi}{3}\\left(\\frac{2Lf}{c}\\right)^3 = \\frac{8\\pi L^3 f^3}{3c^3},$$\n",
    "\n",
    "and its derivative gives the $f^2$. Classically every mode holds $k_BT$, and with $f^2$ modes the\n",
    "energy diverges. Planck's assumption is that a mode of frequency $f$ can only hold energy in quanta\n",
    "$E = nhf$, $n = 0, 1, 2, \\ldots$ Then the average energy per mode is $hf/(e^{hf/k_BT} - 1)$, which is\n",
    "$k_BT$ for $hf \\ll k_BT$ and vanishes exponentially for $hf \\gg k_BT$: the high-frequency modes are\n",
    "too expensive to excite. The cell counts the cavity modes directly and compares the two mode\n",
    "energies."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "3b7f8910",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:47:04.179019Z",
     "iopub.status.busy": "2026-10-24T22:47:04.178933Z",
     "iopub.status.idle": "2026-10-24T22:47:04.291970Z",
     "shell.execute_reply": "2026-10-24T22:47:04.291595Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " n_max   counted modes   8πL³f³/3c³   ratio\n",
      "   10             820           1047   0.7830\n",
      "   30           26200          28274   0.9266\n",
      "  100         1023552        1047198   0.9774\n",
      "Planck's u(f) peaks at hf = 2.81 k_BT (exact 2.821 k_BT)\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1210x418 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "print(\" n_max   counted modes   8πL³f³/3c³   ratio\")\n",
    "for n_max in (10, 30, 100):\n",
    "    g = np.arange(1, n_max + 1)\n",
    "    nx, ny, nz = np.meshgrid(g, g, g, indexing=\"ij\", sparse=True)\n",
    "    counted = 2 * np.count_nonzero(nx**2 + ny**2 + nz**2 <= n_max**2)\n",
    "    formula = 2 * np.pi / 6 * n_max**3  # N(f) with 2Lf/c = n_max\n",
    "    print(f\"{n_max:5d}   {counted:13d}   {formula:12.0f}   {counted / formula:.4f}\")\n",
    "\n",
    "x = np.linspace(0.01, 8, 400)  # hf / kT\n",
    "quantum = x / np.expm1(x)  # average energy per mode in units of kT\n",
    "fig, (a1, a2) = plt.subplots(1, 2, figsize=(11, 3.8))\n",
    "a1.plot(x, np.ones_like(x), \"--\", color=style.REFERENCE, label=\"classical: k_BT\")\n",
    "a1.plot(x, quantum, color=style.OPEN_NEMO, label=\"quanta E = nhf\")\n",
    "a1.set(xlabel=\"hf / k_BT\", ylabel=\"average energy per mode (k_BT)\", title=\"energy of a mode\")\n",
    "a1.legend(frameon=False, fontsize=8)\n",
    "a2.plot(x, x**2, \"--\", color=style.REFERENCE, label=\"modes × k_BT (Rayleigh–Jeans)\")\n",
    "a2.plot(x, x**2 * quantum, color=style.OPEN_NEMO, label=\"modes × quantum energy (Planck)\")\n",
    "a2.set(\n",
    "    xlabel=\"hf / k_BT\",\n",
    "    ylabel=\"u(f) (arbitrary units)\",\n",
    "    ylim=(0, 6),\n",
    "    title=\"number of modes × energy per mode\",\n",
    ")\n",
    "a2.legend(frameon=False, fontsize=8)\n",
    "fig.tight_layout()\n",
    "print(f\"Planck's u(f) peaks at hf = {x[np.argmax(x**2 * quantum)]:.2f} k_BT (exact 2.821 k_BT)\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c418869e",
   "metadata": {},
   "source": [
    "The counted modes approach the formula as the cube holds more of them (ratio 0.7830 for $n_\\text{max} = 10$,\n",
    "0.9774 for 100). The shortfall is a surface effect: the octant formula also counts lattice points\n",
    "on the coordinate planes, where one index is zero and the wave vanishes everywhere, and it shrinks as\n",
    "$1/n_\\text{max}$. The product of $f^2$ modes with the quantized mode energy peaks at\n",
    "$hf = 2.81\\,k_BT$ on the grid (exactly $2.821\\,k_BT$), the peak of Planck's spectrum per unit frequency.\n",
    "\n",
    "### The cosmic background: a 2.725 K black body\n",
    "\n",
    "![Slide 7: COBE map and FIRAS spectrum of the cosmic microwave background](attachment:slide_007_crop.png)\n",
    "\n",
    "*Slide 7: the sky map of the COBE satellite and the FIRAS spectrum, whose data points lie on a 2.725 K black-body curve (J. C. Mather et al., Astrophys. J., 1990).*\n",
    "\n",
    "The most precise black-body spectrum ever measured comes from the sky. The FIRAS instrument on the\n",
    "COBE satellite measured the cosmic microwave background, and its data fall on Planck's curve for\n",
    "2.725 K so closely that the error bars hardly show; the fit is a strong confirmation that the\n",
    "radiation is a remnant of the hot early universe. FIRAS plotted the spectrum per unit frequency\n",
    "against a wavelength axis, which is why its peak is near 2 mm, not at the 1.06 mm that Wien's law\n",
    "gives per unit wavelength."
   ],
   "attachments": {
    "slide_007_crop.png": {
     "image/png": 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"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "265e31a4",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:47:04.293113Z",
     "iopub.status.busy": "2026-10-24T22:47:04.293019Z",
     "iopub.status.idle": "2026-10-24T22:47:04.295641Z",
     "shell.execute_reply": "2026-10-24T22:47:04.295211Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "T = 2.725 K: peak per unit frequency at 160.2 GHz, i.e. at c/f = 1.871 mm\n",
      "peak per unit wavelength (Wien): 1.063 mm\n",
      "photon energy at the peak frequency: 0.663 meV = 2.821 k_BT\n"
     ]
    }
   ],
   "source": [
    "T_cmb = 2.725\n",
    "f = np.linspace(1e9, 700e9, 7000)\n",
    "B_f = 2 * h * f**3 / c**2 / np.expm1(h * f / (kB * T_cmb))\n",
    "f_peak = f[np.argmax(B_f)]\n",
    "print(\n",
    "    f\"T = {T_cmb} K: peak per unit frequency at {f_peak / 1e9:.1f} GHz, i.e. at c/f = \"\n",
    "    f\"{1e3 * c / f_peak:.3f} mm\"\n",
    ")\n",
    "print(f\"peak per unit wavelength (Wien): {1e3 * h * c / (4.965114 * kB * T_cmb):.3f} mm\")\n",
    "print(\n",
    "    f\"photon energy at the peak frequency: {1e3 * H * f_peak:.3f} meV = {H * f_peak / (KB * T_cmb):.3f} k_BT\"\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ec2e6cc9",
   "metadata": {},
   "source": [
    "The 2.725 K spectrum peaks at 160.2 GHz, which is 1.871 mm on FIRAS's wavelength axis, and at 1.063 mm\n",
    "per unit wavelength. A photon at the peak carries only 0.663 meV.\n",
    "\n",
    "## 2. Discrete optical spectra and the Bohr atom\n",
    "\n",
    "The second puzzle: a hot gas of a single element does not emit a continuous spectrum but sharp lines,\n",
    "characteristic of the element like a fingerprint (hydrogen has a few, iron very many). The bright\n",
    "yellow sodium lamps once used for street lighting convert much of their excitation energy into a\n",
    "single pair of lines. The hydrogen lines follow a simple rule found empirically by Balmer and\n",
    "Rydberg,\n",
    "\n",
    "$$E_{m,n} = R\\left(\\frac{1}{m^2} - \\frac{1}{n^2}\\right), \\qquad R = 13.6\\ \\text{eV}, \\qquad n > m,$$\n",
    "\n",
    "with the series named after Lyman ($m = 1$, ultraviolet), Balmer ($m = 2$, visible) and Paschen\n",
    "($m = 3$, infrared).\n",
    "\n",
    "![Slide 10: hydrogen emission spectrum and energy levels](attachment:slide_010_crop.png)\n",
    "\n",
    "*Slide 10: hydrogen emits light at discrete frequencies; the lines are differences of the levels E_n = −13.6 eV/n² (Lyman, Balmer and Paschen series).*\n",
    "\n",
    "Bohr explained the rule in 1913 by assuming that the angular momentum of the electron circling the\n",
    "proton is quantized, $m_0 v r_n = n\\hbar$. With the Coulomb force as the centripetal force,\n",
    "$m_0v^2/r_n = q^2/(4\\pi\\varepsilon_0 r_n^2)$, this gives\n",
    "\n",
    "$$r_n = \\frac{4\\pi\\varepsilon_0\\,\\hbar^2}{m_0 q^2}\\,n^2 = a_0\\,n^2, \\qquad\n",
    "E_n = -\\frac{m_0 q^4}{2(4\\pi\\varepsilon_0\\hbar)^2}\\,\\frac{1}{n^2} = -\\frac{13.6\\ \\text{eV}}{n^2}.$$\n",
    "\n",
    "Quantum mechanics replaces the orbits by standing waves bound to the nucleus, and discrete transition\n",
    "energies follow from discrete standing waves. That can be checked with open-nemo now. For states\n",
    "without angular momentum the radial function $u(r) = r\\,R(r)$ obeys a one-dimensional Schrödinger\n",
    "equation with $u(0) = 0$,\n",
    "\n",
    "$$-\\frac{\\hbar^2}{2m_0}\\frac{d^2u}{dr^2} - \\frac{q^2}{4\\pi\\varepsilon_0\\,r}\\,u = E\\,u,$$\n",
    "\n",
    "which is a particle in a box (hard wall at $r = 0$) with a Coulomb potential added. The cell builds\n",
    "an 8 nm effective-mass box with $m = m_0$ and spacing 0.002 nm, passes the potential\n",
    "$-q^2/4\\pi\\varepsilon_0 r$ (with $q^2/4\\pi\\varepsilon_0$ = 1.440 eV nm) to open-nemo's eigensolver,\n",
    "and compares the levels with Bohr's formula. The constants of `opennemo.core.units` give the\n",
    "Rydberg energy and the Bohr radius."
   ],
   "attachments": {
    "slide_010_crop.png": {
     "image/png": 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/GeBDusPHsSR5VqSRO40Hjdy3vkBssIysjYKO6eERX8MOccnFlFvyfHTC6P8UXdyxIH9sWKxhk5v0WVF4y2h7PkWKQRs+4HyoE/eg4AZ0NbAokLwgYZG5mDrjy/RgZpc/OzjFV0xowSFqReEJFXSBq5GYlEdMUtP+R3FjJnc6IgbyHOx9IMAKx8HLQsXbfL4sdEkGPaP2yL5mN0JKVstSYm49fgnRh7ItnYL3gV2QzYEvIxFMKXpDBdsx1XMMxmRDMssBPm7HsCphN2Y2o8RxhsrpW1+OKitJkwQdQ51IGp4f2eNJQCNuLxDdmFZaY4CXmi+Q/tiwUSdhk1IjmHbvvtEyg5OXJecEukoxrT7CntN420lU+0DEQb1cAR80P0tEEnMchiDVrwR8KA/CxzIXymrIiTwUJUIzIGJaHCdxQh6cMxwHqVq8WtZ39UUOwceC4EPLV/OaDpXggAnGc+epFuBvcjmKIgTJB/i4FcXirbYsByeuNNcVfSidvvGljvSgzYTXEyqmzBhzUEMNKhIpfTbxzyEyajRrBBF1HPYmceMmHon9so/FSkWWECgQqtzW0UjFiGfoJMcDHRQbP5H78EHneIdIr0T7oB5rxVzRh+BjQcCDGV5q5zQ0AUO1VmJpED0EDz8n+NCRRVV3z4SH4GO+yhE/UYt2IQ7EegOr1IyQwohoi3RLBt7H3lOOV1fjMHvGROSw/pkFmuiknU6ESgdNubjBGP97SQPdG+35uadI/Cd5k+KgQa8GEo2cFNP3mqwqe1EKm8vwmsU8k9f5DYkAGmE7J7Y6bfxE9HM3yYvm5CtB96pnhYAPTX4weUlo87JkILVPIpumbNBPXa545y/RsQVLNMYu53lk9fjoI5eZ1YrW7HKxWiwJQVoUUvAsauRGutgbA3zsoSEZfjjLLT9xRAw6rLecbNrNbOJuhmRRARljl08bMLtehrTD+xXszwKHDdxtBTXwzGnjqSCdiBPxHuIpJRdQ09FYSBQhimFqU5zFx+B9g/CVKLwDu+gDFVCUU6FIloae5URHw0dK6KHybAx1X6mv2kQhXg+izwV+OKHuYUqNHEl9HHzg+AV6wDhGwK1w9JtCR6YCqs2kODpWNsDH7aQV00FxkmeSHiaBPezPt76qWlQ9eEpu7IVU4MybxOVs4dnoP7IMnlVBk6HyCZkmGxHD0HJmJO03kveIF3IHWMpwxvap8CgTqYRaP7P5ikduaVpF43utOy80/9pmOvoz+Bccm7wswS2XWD/AckE/nagByrUgm2vATos/vRoeG4eupEclLwQfuopmTiFOoabdyShPQEL16PFkCkCG2sddzW6gdT7NRnaQxQN8vPU0c1pHnhtx5YPgg9DDmxFVgtns+ov4xaisIQw50J78ENgggePUU49ulfcO8CoS5lGWxDsxuTiB5xMgm8iJ2UHwofLGFPBhk0TPYuYY/IypZ3Nc6XRRu2u+AVgcNUSJ6kXrqzykh7sGUYyur5YiCpIfBR+Y7KOayYIo7WjREuJZcYRIxm7m3GZWqBvj1gN83Cp5GSPbyYo8jVMQhqShdPq2V4j5NdIkHIvkBRDiBVUdCkVAy31+6qIyBQSkcSiL1uEGPwKHSi2uD3kRVD/2aAUKFjyCjVUsU/lEpkKMU2CqJZI4+lgmUg8+sEer1TzrBBeV9OjGbeuzGgAOjjGaAixpXDclDQ8Tdx1jriXSiIW2qCjd0JRj4UOojVEbZ6LI3GBSUkgq2fzM6akxQPkDbWxPtd1JpkkSJVPXH2qnb9dDDmc/y2tSl7IVTOnTNBtI6/6kYqbnK6ioSmUTIeaYdPLs1OcxkwbsU33f3BQVTG0X3RCUSh2JN5yatcz+xMm7nAM+FOr5Mp0TPjISGJ4zasBQpkRs85GDkCICf8wQYsQxhtYET06PFsvaxMMCMYj4xV7gCD5WkGQFz3zeTixWEFGmlGlIhorGbcWh2ObjrNGWx6+UgrSCkV5/JI1cyMGDKana+WKZEQEeQVJh08Fk08SfUuC+Kf6GVFBivBJjOCWSN2uQC9r26xlswfo11Gco6Q/r9WVZkAMUoUsDtvw/tnMYwKMBdAzzNTxz1XHeRBOP5nCFhBBo8aNZOaZu/x78wE7S7bhFw7MYmzRoG5akax7z3AsrdVjShjaGOgj2ejVBW1dTIiQl84bFzCnOEGN8gA/M1lP10xzxtdy/wV4uJtQIyTDRXwmm6YrmYGD5ZGYopmYU96RLNG5JI17dmRYCfMzgFAOmE+5IBBUHG585/hR9ECrGiJaI7W5IYzDEmjE8pUZgqDYZQYpXUHe41Pr0248OH9yJZ2kGoi3rwz59o4sMjTCSEtFEvtfJEToR1MAa25LsV2AT0v/QGgt9F/jRtYknY2lC9BJ5P/1Q4lE+6npCAQg6QNiLTcLooTB8UH4hdE8T0NJJuAMjekFSgN65mLdphGZNxC1XkyYDE9Q/ZfGXhYt5raLAUc0XmPqviywjHfcWDFcoJ0WY0YXoYprXSEVqR8HHOBWyYkpv1oeuTtplKX5CZBGQWxTmZsYSXkAunQK9HGRfi3YWpzNEUXNqxmBQDgMycxy/IMEBGu2DitGQvPQAlN9667DS9LD+5XcJIb2LYVrM2DIbwyP/Bd8tMM6FM+Mr5Jw0TmfYZQMpIt/fWE55TtT49r1Dc1gJOzWIHTUnpSGFer3Ucl0HNoCSDNQNu8DmXfEdK8peWipDJCh4OCJZo/YJdrihi4IqOKtaBcUe1CKI0AVtoEgas85EjEoGiXSAq1H7NE6nUOMWFPlbwz5WRoCEMEQ2EVEQu95r6TtqpjlaOhaPKfOTEiJGhUQw4UjTORNK6HkGlIwpg8dt72MiC2UG31WGwsdbFlYALaFyvK5myspgoVTQjIn1KkEpCYii+FmX/rr4wZ6WPuYb9kY7MiuLYLe5WU1bGafshjQ8sIfBZU6LIlRE91Ony1w+SCvmitbolqTkLQVVVr+YZZ2aa8gXEQOpWoB5Tm4MzwrXy4hj2i6LsSjQwBYTLDdGFBILgrUVOkCzWbqrkkREWTXCEcWP+YwHk9285O9GXBQxxUaIduKahEaW8zpiN0p6dcclw1ydunY+SzWzN/Mz8D74NbC9JBxCj7f9NkUtaQNNBOGUBD7gRZvItvQKuQs3UmRW+mwKcnvonB9ottdpknu0TmVVp/6PovlJmpLcKMkOK8Jmm8TNdVNWREeGC6L40I2TDCqrqHCYPrxnJJaChsu2qmOUFq5TNts/sGy7TbQOnTRSbTdMkxj6HSThAVI8IZYbx2kakiCaw3R4G90RIIZubVWW6A+yNEsEamj4SjTBQ/x70gmwVEuoyNITC2CJkzi2zVqncPd2iFeZgN7mwqnKUbvxlwE+1p9LvKLQ3E5kSR62qfRWB21dtc41f9L50VI6EWIKVhKGzdprCAOorHvhw+slGIvKB/3zkZ6Y1v7YA/UFMeli8xMyNyx6WRPl1c7FnvqxI9MUCTObPJg8NTMaMRIq3QgebX86mNUp8dKvu3RM6BEAJ0gc1WbtICFqQrEND+lTyUMeueYtZgo9CA45UnW7Y8mavZqzSiN8Ql+AjucJAr9CD6HZLFQiqYIdpw82UTtip6iTRyk+nJI24MfbxY+8cf3OUAFf0bodNzPp/85G0m/KuX5ycn6+/xfPz08uLj6fnZ2fnEtnn3FBki5OsKQz/PRZusAV5/ht3Omu7RNPwKRNTHDFGkJArbEH8pi+Bz5Y1cyimglLFJprlSKLee4yxRMmCRuT0UInumwIZ21SJnNJtJvZpKiuyiRhhaiADkg0C8IZl/6nXx+RlwJFDqZKjgtQU6NDcK1GWVNvzdFWl36dolPVlnpUxtoUwmKlLGGdaXUzteKxGOYMJqJhhtBltj1bPQiWm6YP8NFrvQBck7ydsY3osN7W4v1GgbdLhLGtoxO8ocpaGV1eXn4GMvA6Pyds2F1n5zc3J59wr8sT50Z16MKZMvr69atz8fn6Gj+Y+HfinOJOnwhQpDvsDwcFFkAWO8dMWOEM5DGQJixoJurq4FD+0cUKCZHVrJxDmH6YmHtzH08VkoKsMprXmr8RQEcMMJnWoX32+fLzOeKLT58+EXzcjUA+n92cfvp6dX352T21jSsXiHF9dXXluFdX3ufL3z+fjy6vL7+cnt58+vpJOv98F39cyRlVFfvI4OEpgcEo/2w2NOoG+BB/vwIOsjGr5hiHkkfDB+LNpZZiKmQCBkUwWZvYkrQpDcIbN6eILs6BHp8uLigIuYUfZ5efvwAZri4vz09PnS/XV1+/jtPq2/fmW5m4X0+xrs4+//7l5vQLw8fJydmdiShk/UGbUqcngLgIpAICzNzAUEXrKx4O8PFB4UNhN0GtJhOcgTT2Nl3lKCgsylFAeuqicAomRlVS9wIAcHN+dskL9Y3b0QduOf8CaLk8Oz11T784V37x/fs3Xt+bqWdZxtXF+e83gBiCj5MvX87vlFxoPB6BDokiAjlEGILRW6oqDhNSQ/RBduGuB+OLNtfVoffy5jx4FDZldZsIJDGc/kXxY+xmGPSQtJPTU1HZoDoG1sWt6OEzVTYQmnz+nSKN0VUK3Pjzz//9D//+/PP7twh5jHlz+t/zswvAx8XJzc35Xfb6iJSOZ/6YhU/HZGMXuCHCD1MalHGH0qmB9niI+QLwgsn5a9ixb+ztUZmDkVdEVh9v1DcCokjh7dK+Ahsu1+viHvi4OLNOndOvV9NvQA2gBxbhx7dvwfVX6/T0C+5G6Q9qICfSXfwASERNSoEHZS/08L47q7rJmAE+PjZ8oMVlhHEFp+Jy5AwTt2+QloNN6qN5ShJjnYWT7xc1Qb0y0g1kLzdfaN1g3U4+NvBxg9LHdfSdQ4//dQCCy4g/NMAHyqf3wIclfO20Ag5xYlbPIxVDGEcFkjJ8Wgb4oDY3fALjchqQhPWwYd+YNiEFGVZWo2PqBm4ncBqEDVtKmydfv97cnG7Xzd3SKeqhF58//591+tUTict2UfzhUQH1UkQfJ/uiD5tnR0ZtxmwTRCAhaQV4dd5xJQb4+NhqY+TJAx/COpNA3B1qH29tOUSsIvfZCU77Pjmw4FsF00jQL7ULom78vgGPL2L3m5sU9Ozs7MsNwcfZ/326nt5CD4o/vk0BHzfXAj7O98FHt9IGgqLe1vcladxHSjPrZPSkknuUrBgyjQkfnPAG/1MxtEecBMG+VZUBPv6NoRfNjyoSWpcH+JBe0P2TJGxQm9bwuWbTaLmbTH3EyzxSQauM63DiiaETigCCBPpirIbDNdOzLwI9vvwGOqRFXj09P0mUQ78gh/l86bi3gw8CkG/fHIKP68uLE6Q498OHCqop2j0b1poX1sljuvyGKosGtKIQARQyysiaDxTaLE1+FKuEQrF/IxYa4IPIvso4rDKi/g68D+ml/FiIMLo9O+sY2lJVci9TZNWwjk0Sae5EVhBs0NQJN02xhcMSohMjQ9Q2Li+1s3Pr5OTLxQVKGCPWvt5uzIsOPi4v7ej7HfSg9ksg4OPk5svF55v7ow+EH0Ew2ZJevbxylccFqywtI8ZjVB6C0WXlgZ7144YBFUMd4OOf97jFiIEH+FClwejlhQUGMYUo74YayuOPIk+a2O2mTqhtCsOmkEFClc6/3JxffLq+vvJcG03Yq68jMUkib+HjC+qpBB93cxcBHynilmtint6A2H5zfu/zMOvp1rOSlBLxJI4vlVFVbT0SIdNMC0bhtQOpj0K/ID/i46hqhm4O0cc//xmXSRwOLmXkLTzAx4t9rnR4RpMulQLSOUGIalo6MhlDVkxTesRpWzbAV5+sXaEwKhd4VcVRCd4vyllsJ5gyEayIvatPNIDakzK++HTy5QSzML9fXCF3+d+d9ee3wuTo44YKqGcn5/eP7CU0+rKBD1+v8seMWKpONzgvy5oui+G0Q51fq1PzON5uhMBmiD4G+PgllmZxDCBvkWITqUOqXNGPn7R1pDofC1uGMQucRpD2pPeN/CRPT/VgTSTFt6krov714S8uaBgG87SnJ9f3wEdpEXyccf/l8/3Bh65ZTW73wg8nqZ3jcwvo+NsEp+vxV0sK09S/Hz7GaUaWdsdXM0ZKkiaaPcDHkLz8Kot4NEKC3HJs2tGqZVsj/ZHwDlHQUBRNAR7UeykqidynRxgoPz8ZTb9TTYNYYOijfIeOVzeOLuDjkhoqJyeILUYHo48OPg4WLrJ6vPV9od5tfDzJELLqEfnnMqzSpjOgeDq9//75fDWTHuNbY/vtqvGG5GUonf4i2qS6EsYTT0fXxXL9MPIdy5mEUYQLsmEcX260MXHiTiZd7kLOb03y+UwyztXzc+fT1ZSpYH92fVgiol9K/x1Jl5fSp68X5+cgomIS9/OXU/uq/Pa/P/fABzq3J5fX5wI+zg49F6gku1v4mKhlfnztA1qm5B5poobjGSyeXMxh83Lv72fzZUGqQEcjtW1jassd4EMaGre/wlINVY2zgD/Qjh+nSejqToDvcWA9JsgzJb3OvP5pP62dy8+fz0+tG4zATb/vYAIRwRxURM4ur0++2te/neqfbk5/R+H09Hcw1vdEH9++x9do2HyGLMiXTkzo/iZQUZHkR0D0sXEwtuPG6X+KUBlF5wM73hDTMCN+9iR06gj4IHWxGO4MXBRVitVSwIeubkxzt6gKM9lC04Vuj8MdGI6pVCZJU9nHkLnGQw1b4nzI1hjRB6TIFIgAKVrHtVfpt0TYJ3UcN2ECQSoqkFEx6Mga2T6JkIjfFoHt9AuWqndXWmyBt8ec86PDhya05PywYjHaAT5e7HWdJEnqyqzrqWfLIhwhCKlSu0gd81F0q3Edb/kWKD5UOXHFTr6cfvnyKbrL5fhWfAZ8oJVydX19c3px7Zyi74Kh2utgT/RBtFNQR84MEhyDGNm98MGi5SnoJzS37/P8nBPUW3lchVzoNVL6ki12RaCtSVIyLEaoKUmWsbogHFsqVDh1VZ6xwy21s23H5HBN7uFHNie3WWxdMlixbMFwJaUw4UtkWCykKPU6tR7BhwJcsIWi2FpbUO3UDkXqxM4wJrNyTEYlmWGC7LlNjSrBOt1NN01bFZERck+DEk9b2tsIGuCDX6RJl7wM68UW1GNDRXboPI2RswLbJ4jyRIcksPeYyUQrqcf+Fj7GYROA6iFhzuXC+XQXPVD/CMBdR7wxurqyT68g8eGn0zQeO1f9O3cX/vyeU/BxplJ/5hB8yNR19eqMzRrIIhPiQXaVbWoTqiXqFNhsIw48OI5lLij+WFswYYEC8XxeEZd0BGemNjXW4S6NelNpeXO8bAH4GNlkNqutg41OM5W7vvzR5bhG1VFQwsN7zULUPpjNavMF/CeaQzbLGxIKWQQlCn9RTFm2VX0j7YpvrrDHVtc0WW39qKYj3acv/8FtojjkGA/w8dIlpaROIfWXYaX2JCvqwJxmvksYEj2GXG3MCmeybXh40/r682dM6mMS7tq/ywT7k3opX5CvnFpfr05vriZTdGRo1SkRP3p3/5ODjwiEMpI7fAA+EO6jWzSrWC2Zpl8AadK0svombpxHUOg/IuKrpLss4Q+ksPlDxgrDwi+OLiN5SUFChQ4xGaeo5BfSK5TCjWEmTm8jWUCRK63puvxQjub09jOexwTGEGO6AS1zu0MEQh4ELETERcAy6mTWTYE/Cncd4ZtpgcYnUTfd4T/HNhhBLOEArRkWFXsNUrbQBvi4Cx+cr46H5OWFl5W2Kfrh5QweIgiyy3ns5jkl5UGVPCJ3Ue063RrdY9X56Ixij5NPV6h8/Pm/2xkJyqfu+e86hISckxO3+Pb9Txb3QFRCzd3dQsmf36ekXnimQSjoAfgYEY8WfDWvc5lB9oKWkLctfdgShnG6TStDkYwKHCYKQI43AoA4Lm1t3yfvJ8/24AdTzFekORDCFCF0BQI428r9lOHDjdNpFo0RZaDV5DhjzlfoMVTX9pAMaTjyJM6mCbRXOXkxyLZijMPZ6BQ7wCT87MHDIUt8dsGluAgY50RIpiJEIq7fVVthS+nEQPoksIXfIlKWMT1lFxYNKeJFybUkZ0he9vgBUTToDfDxwktJoSYYROVskmWma+VNjo8svcR+nT6CHqn7TdADjzFM3hwaZLnRQTZdw8HuHO338PfzG5w0b6Sg/L5OWAhAgCD97AXz+qVLWsuS9YV0xs4OJS9cfHBgc0fA4TF73TXquEemdYqmzgVdP6ibphQb08PFWJaqpg4NE8aVMKaENATqEzCMTWBU087ZgGnEJsu92gfaunYKU0rc3ExpSwf4PbjKYewOUUrQ1PVkhGfk5lCqgUPULHbReUH4oLp1M1PxXGB8SzYPIVwzYSu1aPIxWdDADx5pJSwoYSNXwfKqqVzLRoQiTbKa7OvmdT6hai/umNV16KbVggyoan7nzLtJ5wAfHH14Q/Ly0q9r0sRo3RZT9G0dXYtmdZ3G1GPw60R7xIGyiuRFN/CR1f9nfqEZfevr9X4m2P++J1Q4dYxzv6TQ489esIEIZPvT/76XVxeQWj8/MR6ED516+poEg+we80Oa5evb4fRk56u24hKBmcOmDZGJqVh2jO0/sYx6uYrYbZr2MvIXg2of2bTlfYzdkrErwjb6gM1kkbFbJHSsYAJg0iGWmULWDECZfLVivaKwITs78qqrUwCGS1lJM6+DYs6+2bhDzUZ2dJ86EX1wstFcMabUuNQI8POrtbHmqoqETw3wLY5b8burRcaBlTXAx134GGof0iu0w9Mm0SdhXcZh6BkKpmSbwFVszQvLWHkEKQe+jG64TV+K6j9nLPEx+nrtbsFgJ3mZXl6ibvr1Mv++U+ygsup3qp8KTPn2bXp1deHIqHuYN5y7nB1s3NLJPq39zuyWhvfMrJK2siBqhJP3BLwwyZ0t4Tcb2uTDNMW+RdEBp3ZgZ55Xq2WT5xnKHTM44MIxNvGTsgHE+NRl6YEm4oVmNUvDsCCj7QjHz1eLiiv98HmplwjtYP/WLOh4yRTW1UAP4n3YiEJqxC5NXQWSM27msM3O4qzCY9U+U+XjGseexUmFO8L9Gm8JEiPAW1uldD9ysuWNAGJK3s7LmD28l00oesEDfNyCD2UNH0Py8qLDAIAPyYKIbFUVeFkdt2omND7rh0X0CHqNUycuDemvXd6a5Oz3E3DVYb9wbX//tif4+PN74lx+HV2xuNid21IqpVI19dvU/3r2HwmUdpIq474trXv/Ht64XiOayMSdH/tGCEN7JguR15hsASMSqLOqFvbgfJGzpEe9mmdokSB0CNFakePFspLYnKlYLZZtTB8+NQHupN2pbAMf2JMJ28CFOFqOWmswn7djhTdxTHUO3FQiYsgNyKHpCRnfNuiTmw5b4GYh29bN4JybsHk3ii7zkkIop2SAQDMnBGzNWxupigTf7SZmM02KNwruU8M2e9XGVN1xYuQ1UxaNHuDjLmm9Y51qkjTAx8u9rmGWxJYTxklMlvSKFcX0ydfhxeoqx/txeU045sbtuCt9hGf/ObERfny62p+80BAtVE+vrp1in77H9NKN0nQahx4phFDLhcFjDR/3Pg/NoP7IqBbFDzJ9mfi2X08MInlQ0oHzEAKKgpqyYbusF8TvgMRzu1wgGdBvw4epFMvFPEdbBS1Zt2pBIVs7RHa0sSWZYJMhnVmQ2T1ijboFoHANBrnJzKRyCIDFpV6sYlKmQ9GH7CAiabuOckQXqWerqm46RzoDz8kQyVDIbVorI19uoqkEzWKewEEObrmEH/OIniJaQ20h3OoAOfNcUvaM4AysU43aYaL2IQ2kdenFPGK9KE7QS3A81+IsxPEoARinycQ+HqVVdDdYKWgihm7T2j37P8lG+kLwUXy73XlhBfXg8vezT6CJ/Xl3Qv/bNx/iQqi6ssnLTWdQJwymDsKHovGptyhdnrtlRHPdOraYWSWTr6ySzBc10Tyz5Txrli15ysZIKYiccRs+AArY2tRqoTYsygyZTN7Tco/30fr8qjGFbEb7HXMwJXNZkZ8sYlxBOcqEmato/NQL8D5kKu8CuUbio4x8p7a7ooWDWCPDHwFUmAn7XGgQLBcNfl3jvIgiEw73WqrEyFK5wBANnh/a0CoikVxSpQE+9orISTxxKw3w8ZK1Dw1NSeoO2GBCdlMusm2FaA0+4kVWMNdKjVJh7zLxigrGcmejE7KevLpOv98JL4jLcTX6z+fPV8kefQ/cGoGUahCNHeu3S6lnTXcIPaTOwzZtOvjgaEiuMku0OVWyth2jEhmAg14u2zFShFAnYGhnxPW+Ax8jbOOK+aAgXRB8KNot+KiZnItmSbqazwAbss/1WHxEE2xsiilKQgLF5fa2VLQt4AMDykhdciaJ6nY1b9E0V5i65uTtssKDoAgSKzZkFPCOzObzxlI1q6JEyWGZEWcEUCopeEHQU4s/WtJRqs2VgXV6D3zIQ+P25bMXBS+q52p6d8pS6AStOr4Ygzl6lDQv3TEkkruGx7jKIW/6WTs7IVPar8Hd7IVyF8f4cvOfT8X+Cdvp9dWpAX/b/56SQNBZhxtnD2BHF4DIYeP7ovhB9VOpmOlbs0pVQvsiBUSiJkmRQS4j2ZmjZAqniTvwYRWUD4xo2AXu30twQNTd5GVemsqIdF6lZNWWTAtFXJASDb5sVzkFJjh4QtEzs8SQdLSkdeIAw2Ix4oKL85geDAqJkh6tCHR8lFgDBirFllIAkmmYDkIl33UMx7TBUk1Q7KUD5YI3z385/TXKvtR+0PsgDTmNSevyEHu8ICqr5AW/rdVDNQhbxXAwZ48P87GsdbnMYUvtCp0NFCzr9BMbQoH68cWA+vH3u6T1b55NprUn+8qqdPM0DTwcA+VX7fr689l2SXs8cjfPXmFEVFA7nQj4oGhIS2ttDR/0FW0WJAbBYlFIEdjpujRu23Ys7al9UON2lRL9U+YqJeBD3oEP7FeUNOj10xMuekLGFRyPiid/25ZcqlCWRjdYcJcky2+XDYIZ2xH4IEN7zG3m87Ehdbz3gPs7UTfXTxU/NQCiQMNp3DIbpRFrjjIqKjomPSlL1vGXyxZFH9IAH/s7L0gEaWROUQa1jxdbZje1SeV8w9Q5BhbzFxqJBR0L1GadjseiWYrUxYe9ylfGj7OT0xvr5NP422Zcf8NZT0Rd43RvV+ZPIStU+KNzTNzBOhvN2s+fPz8IHwprPSP7wtiL8JujmX2Y3ZriI6RSnGCFiPdtbH10Vb16jrpEggyFaxO34UPmhMVggVJR+2BeidyHD1OM0DnEAaEyrI1SKW39jA9qSGNUOUKbpdV0zfEx8wL9IhmFEVRNDHpaAQISzxQTc4oUtgukVhFyHNvSVX4zwuWqQRUbUiGo8AI2lsTwoMYNtXXoSakMm13tY5+cxRB9kAuQTtGHpAyepS86S0SdS3kri0AqyTjXWuojJuacOgbFE7xTYfIWNy7gA+nLf86tG/PLydeAmrMbABE09Ksrauza5f7kpeOfTp0r++rTpy9scQmhjwvYwUgwdWD6+ufPpBNC3896AMJjsVXBuiOCNzYO2pGhciZAW8vWEBcEBkofvjSq0PXkEIPJ4neSF322BBXLErLOKDOI0qnU1/tgmwYkR2jKFhqFHyo4YLGplUTisin6WM2hfkBVJiJ+MW0MnJB2gYfnQV+ChYAfAHO0Fv3kyeGcIAgKkHSXmLAEHFY4tM6KIp8VOb7m+J/maYrFkiIOZYTJuinBh3K3dEqV5xt3/je2+3L5119/LVd//3zOfz+Xi8UCh1r9/fffwQkPIr31BqNG9SGufcgDfLxo74U2jrzZelTrl9jfhIUrjluTOvIFzYK9IbNaUy/ObKpTUM3z/BMKpJsGCw+2TO2vjAj/UYv74EP4y33zrjAXY9uIQC5HJB9y+umy84uBfND19SeqjVzf1h+Ti8qBYZW/1ltvAs4NqA1KRYgCRQynXtVodIC5kSv1cj6hDxUuQC6INuycRua4hwMQkLlEpFDnY8rpRI82tizWP6WL1cyi6qiKgmrJwh4+gYJLaDJidMLOjhYiK6FCxlh0SSgQiakxRE9u5KOmMdZ8sNX8TiXEwABfM1KYKkLxhq2QQIg9EtM3aA1lmtD7ULl0qtyNPiDjdnPqti2wY/EXrZ8/fzznvx8g6c8Xi7+Wf83/8vmteItFPVkI2ghpex6G9IJbrFP5X17vFTQUEWJIoiPuPPdwYR1yrkAOTYCPvN4VGP7kXXk81yJ8ryH+496cjnTM4FuX0ff74GNdIzlxTx2bzLU/uxdfr65cz/Ocq6/WzTnQ41rn0uod+UIy293YRUGwkCQ/NBJGJ/hAT2Q5A80LuYYUooGBiKB2qXQpEXwguAVDDHUMTJkoCsGHyrfJgI/lHvggVFLxYU2Xq5nGZ/6QChcgcFQayxFVc/waSKNgbIgyqEfiQoCPCWvJKi51VJxujE9P5y0Y6mPKbYQZq83cViCFW7eL0KGCDA4K9ytjQgInBIX6Gj6Wi3yfKec5Stgn3vwHLcaP1d/P+m+FQywWdLSfP4PzL280+pD5IwisJY0WhS64geB9SG91+8rvZG1LpzT+rT9XuzeuffaHYntZ3ytKkQitH+bki219DZlESgNxU0zAkfo6aCE3l84+X5f/bUfovhVXDk3OUMxxck1q7XSUInYvKSC5vMBkzefLO+0Yoq1vveaE3qlGQZVBBlheAw45uKfoilIHZMoFUJLt6eBDI7kgqpCqgI95JhyjOvjQ+qVJ0MYAH9BKBhqnwCRIvuIja4DXmoLgkUgs4IMhm0YDRKMzrtpgdoE2JgM+FoAP/pA7CBrwgk1QEEE8ASyhpIS+sXUfIKhazomV4nDthZ4+4UdWVcTXYfjYRB+LRc6BunTbBBRyKS7pIdCO//tv7P75s/77C1kLgpAfOGJAIP757SEHyyYI4O/cAEH866SSpfd+9n9DCrIiXXneShg+qFdK8DEuifso9cJEMECsi69ONJ2ioXKNQbrLjWXlXXVCyln+t52g+x59OsG4PsGHV3zjGOZ/BELR1fXo4gIKyzf//XJ+F8/C8QY/xl6VWixFpotqA/boosbpHU8SJZAVdntE+8/k2gc9b1QbKssacfIyz9YaQPvgY1EoHZGA4IMSa5uJ5IgUGkQcNh4hBGk065rgMU3VUqTD8EEhNkANpLUVzarQ40W4jB4yc81GwmUL7Fgcy6DW8KL1JDEiPEEhlAeJCT7kTfKyzOU90QfIvfDYEYIq2PR//6Tk4xlrAfRg7FjDx8WbO4tz3mJRPVpIvWmCoiBI62/2bP9u6B5YpNVHmldoCtjPfOJiRo1JFvQdBSq9n4B/5i6uaTsYkcMnmeKIE5wSTZDa3dPbltg8J7dt0yB9sS8ubUKPuAMP/ge5dvvTjWFARGhP7g1zbq8PH9Q9URQxroLPU0qtC6JNoFAxX615XgZrncrM4ZjX1L4m+Fh28MG7k5MXeX/tA8kLDoEWjem3ND9fkP6jCdIIIokmZlsbHw/AJFGKegg+NEIVVEdaDNBCawwaAsh5UNElVTIw2RAaWpOKfofgwwOjBGoALgnfVO285jyK4EPt1T7UPTYyF5++fl3DBwPI95db4dVX4+3VPrATlZELq+Vg4jmWyhGZ4H1obzlZUd/JWj950kCIAtd5pmtzVrM/AxVPqX9bpyzbt9lmkDG9Hl1fntP8/gUxSa3f8ePV10800X+VcFumN7BP6PFn36ASacrJ6Wm0Lb92wkLOzQ3i8gtMxdx+Qv4t+Mi7wSmqNqCfEdKE+4zrIFGLPmjJ3i6qTPBBtDnibnkoW8oslayJcFhGaeFO7WPFtQ9wkZSUUhAKYcjyBqN0baQJg1w1xDRum2N6D2IdLZKlMdc+CD6oM4uSCGbdlmh9O5OUJvQj+iUFtZN5EdhOWtLYPpIXmRScWwzmehbmooF/YKAqmkLwYe6WTu/Ax8kXwIcDssj3l14N3pyve17/N8CG1FwMckVRHI4dnbtRqukzfAxGDS/4OvtZFkeersrSM0YR4a0i4INyF8BHQh3hbYfs/Ib6JL//5+zkRP/999+pV3J9baOy6Tkj9FSmNNH/Z3+ovxeOACemV9egsPvfvt9Sa/+eOwQfl3c/vrLXRONe7aMsOrlcQ7gEUbUSKmtwksOpfzGHHiFLECr1Ao1bqn0wQ2sGHgwlL2onRJgv5gwf2xNYBuoZFU5JBj2dL2ZiG5vEKVlVDrWvyC5Y5sFcdF/RdclBNEFHFqzTOZVO8VFGgGJlxMlgLhiei45ugTpSi5afBBoxGUkMsdhASvof86ahcd0caQzKgSSHtoEPDO/vc0E6OdUw+PxtrYLwcguH9DCY9PXizbUGkDT6SV6G4wQKbp3sI/M+NFS5NaVb/3ayotxa7wU1QC4VJWiI6PlOBvLCs+Ajrz3hiy3go4k5ttnwRm7E5ArWb5idZbNrroHi0zcN7Our9Pv2g/2/ndhDOMxdSfapWdySBaH8JXI/74UP0E6jfukUYgQKe27qAifkfE6UUIMKCeWiFR1WpHEVCCE83V1jxn5Oc/7YxCkTWdkUak6kdRIlWicsLaZVOj4rXaZ4RmFuKWTIqNAyUtiGIcGGJ52fNrVK6H2Q8R64J2NF7HqLsj9WE0JJJiG1VoOaBjmBBCTEQl/w06lMBeUghDLgjDVZR/rL28U2eWnbfMP763devtBo86vBx+XDkwT/gnGzEUwrvLFJGrha50g2FvCh6Otl/MvLvLWsd7JGIwuOBcC7IMl9o6hM/XnwUdFsK6UuwpY6pt24xVJB0yAH7M90yTr1ybGSwQIYEly5wVQYWNK6PZyL+9inthXdJb6TW8xnJraf3BUQiCa9xu2s7Ipn0kZy3YbwORdEcWnTuHZwLW8+UFfqKh9t78fEU8sydk8Qtj0SVF3seRMeUBKNyFEJA3AxHvXS7HECGTcw+1kMVZN2jstwPk6Kqq6KhCMKZoPgKHlV1SmG8zFpy9VRZX2/WerJ3PWVjRGegrZ9/pamyHfOYmfkPX7dfHuF9R2TBb/dvL3GLZpqUZVnYegIoVuqxSngM5YYME+SmBa+pbygEr7+trmYocqfbdd0mue4Al9wOedvGV8lVs4/Tjf347vgx+4O4ge6W85L3KFbBRZ/4W8zEAOLWTmblfwPX26v8m2sIiGBjziD1ExR2fra4/GF4EOXenVkij5OLpg3emqfnn5NG1HG6MSRp1eXHI1QS/Z/d1WV//fNOrVGe+hlf/7ZxFRW+arvh4/xBj7KmbTbMkGMIOZjRAi5pcOIAjiTyR13ez++Eb4q+u7O1FR17ckEMQBUTbi/YlAyUvX9YChScGwWKpNFbNA77sYr1FrPDxgEQS5VTugKc0pKIptHpvvRuRSzjWydpveCjXuCSIYP5/urrODy/27eHHyQo62SwnYky22a6YKeEyk5TCKo6iUEHwQgSRx1QBIDU6C2FwlQiXApEldHEV2Jr3RVuFnry5G4EPXvsPnWu7+4MghDH1/pG33hFdClwF8vZkoLurT45/udCIbfXfbfxKIuK50FlWwaj6Wy7uBDeTJ8eJO1VtAGPrYf47MLKnaQWjqiD/sq7dVAOYaY2jd0enSnoob65+3xOd366u5zj/rze0EH/fr10134iPuN25KVOO4GV4q8v+4GRxZD2iZf3S+qmqZKDwRpjgViKMTLVonWgw/hY0nbnX/3DkrbltK1G3WyjwB1NWvqlFMYZDozGtRnh7vt/QxLuR/tb7+NMOc7+d39/kO0XcD1+vG89XNL+wB8PGAa+u+IA6Eila3yNC82jqCarowRfcQdZAAhohDfxC4OY9CmA3QRcFWAzcG7Ggtbhba32LbcGuD93O3qyXZzd3eY9DZ8TzqcQAFsR8/1xDfXdWiJr/ADY9iXNUN6T4vOs1me+NKstsW5WXl67UNYq2DLEnwkwu9N2XRerhk+Pv+OBspV0HVq/9xmJ8mp43y5seKdG7b22F8MTM3slQX5do1jfzX2RB9xv/NSFnI/GpK6QvGGQtRvpG2qQ7jb+n4dzHQ37o58iwKYuEncXyfhZc/Y4fzLuggfqOklG/3H78PWaE0EJlnDhps4xBVZNjweo2/vt5FXkPehn3qn9nHz5dz5LvY+tv7fz6SNzf/mxYfzKag8e4OzoOhdpei1uGPIY+sQU8G7OAbrFIk7clAk66oJFjASP4oaTSqi4/UVBhkcvOg0xKyTBo7ZjXHzMKYudnr3QRERJEeSOIIqb+63ub/C8enmbaJ5PRoos0wQlXUL5ReTDHrW8EGxpILHRlSr8T9N4xrNurSKJ0UB76Z4o91a/9T1GObUeNYL6d8EyYslZCKe3nnxOG1h+KB5fR5M2rxolGHARw4kU+fU8e6of/z5reHJiS/B930ZyvcYflLJfm57Y6P18ulu7WOCxu2437hVdsiYvS1PCmRav6IsCyMpei2c9f12CT3bn/rVe66cuyMHxf6GhcdoYHadVJimdh/k8IfdMDY5iI7ukDaixm4ZoGfgJURAZfu80c79qG1DH7Z+NKSKp3On9kG8mzV8/PixxL/5s/7rreDzG4QPerMnOVmQIHiALrXjumpnUilOawqxiFl9nZh7lCMqMjXqKbzEBf5QAA0UbGeV3ytiOyi0s+ElT9OXfAeF33biayh0hbq9n8wX6K7YgypvfVzE2KSh0R0f4su+C6EgmWt6eeQUhSk/Cz7SmvouQqEHcVotSJabVwnSY5dED8Dg1unX6fdbLnI0gJt7X0efPjnf7oQflNtMzv97me41e/j23f39+vLmLnwErL3a530ouwPEsqIc/mMVS374foq8M3+lIFjwl0uyWwgU9Y6qlWLIm82+57i4BuVXSxaffogmL5tqVlEzt56wJZ65uZ9ijTQBQgeezy34cL///Ilp2SVNy/547uqSIKwAb+6by14scuAqm8RL0iKPMhQg89jDeMCatH6XZKaK3FYxbu1eVX6d7YwIg8IeEb2odz4PsryNdXsN3ttks/toaK9/PavbwfYoKbM4Z81e5TmkdZq2XcMHs7SMnlYZUpazC0DHze+XPdOoP3edGb4ViZPerXCQ8Njn05u90QfI6+5+3kfUyY2tk5eMhQn2k5v3XCt0T/QnvCIjqHeAl56CQ9r7bY4DOT6ltsrdT7AgVssdzR+WOxQXNqzs0bbzmRimk3v3E7919LQBdA2+uCLj+HuxmC+Wfz9rQXVkseguB19IQ0F6a7MYqh3neYKiZZqESQZ1g8i1NJq4NXV9uzU2NEqZNBk4quB3p4shqDwNhX61C+Ohp0BSdhx5iJ/Xv67w/RV1fb8u7Nc501ApBNE5rqV8ROGemazc//nrUmdN27uN3wK53lhvDTXMUhSdtefCB0/bjlmd2OdSwy34OPn05fTmC/Z6cBsHaIIFkCKG6W4nNrixmVz+dnoT7k9evjkSTd/djj6UuJ6wacQ98KGIZqvCb4bS77yIQWSNywda734H6kcbBhL/xR652PksQbYdROSEQyEKGcuH7TkuowsHgKbFLA6L0ha41NX52GL3PEPIkW16K/pI4WPcOm3dvoJrHxrINh18YGYfo/bPhA+a++8uh6f6p7c3r6/bxiSiHodvTbJkjF5p6Og8MteFFDIpZ3evJRMc+d0T6pG3hG7k3RCxX3JX9peqN7+yroPcCfw5NZI56uiiC3n9zvG5ix6m9/F4KBq4fftrXy8SZXohMdblSpb6PPiIMKGGWoPHEDIe5xWT0jY1BTQOL75+/frl5mb0Of1+ywCbaWJ/dlHIt+/fbltGJSRWcebsE2QnvWUSPLxz9lNTQYMVc8BjFzRYY7/3/MdYkAvS3K7guaT19zPxY3uI4A0GH9iCBvyKXc917JEzDiP0aMfOnpG5YUnP1f14CbZsUEfMOhURyHha71YKUfr49BUjLshfPu8O2FLo0Weod9SPjrlOhY/0K1VMTu1v3+50dElv+QpEkovr27m3Tp1k8qsi/RFIoNURgeNI+rh2Pq8jVrgkscK3WegTpUqc003XDxEVE3N93Pm8DOuFR/6eeRg4qfg9+EgbR+urtHfRxyfwDy774oQ8en9rwOX7NwEoHSk6vbLcq/NT92t8u3PLZg/e11MbKdEd+CgLT0zh+IwhzUQIHw/w8THgY/uJJrRwPMsY8YQGJy8DgLy1ZdYJq4oiWaBdG8PKhJWeNvDx+YTg4+z3y8tiBz46qNi5phAWt0RCzUMTQ7pXlKFc3wo/2GlqCikhBB93God6PR1DbkxYZvpO2CBy1T/yWeKDwcc6qEYts+MfUbVSm0QEH4PS+ltbWsWukF4nGAS1DWqebUtGMHzRAR+fAR/TbzuE01vjcfjvewp7bqqmllAW+nziAD2+/g7Hl2CHq9qNvHy1YGF5V6zQaRI8GVZKRgHEihtV/8Cxx4dMXjYhiEKkDKKRaQN8vFX4KAqXh166Zke9K2h9fo7K/1eS+rhkU8otfPzvz1szLriucdyv4PNav6Nk8vvl2ZVrX5Ha2LWQW97oLf/5HTLKmKAxP9+lLUHug7IoX8CHmpFvmyoP8PHxkhcaFVA7wxx5PCQvb3NllUsq6x3DnyZc9d77xPBx+onhw/u2lwDWA5Dv0QkI7vQbFlDj8ycIlF2Ozk7sq+kGP1htDKO6V/aXm/M9rEeIJ7JygEA0fZZr+/wLBvj4VeFD7ei327FEZjp5Q+n0ba6k9nwxZEJTg25eEUXS3OLHCfVXyenp8nqTvfy5yx3byohNQS4D1wNpyeezm1PdQOTxG3VfyO2y06wgpRDv6uvJFwuFFftsL4kepQ+KQMZji6bPlJ508wAfHyF5oT9bYbFkXdtGH0Pj9g0uv+F5/XX8EcOQxOiFH2eY2Sf4ME/0q8mamX6bnr6hkhY0nPvVRiF27NlQQz35/Qs5SmFi5hpMZB4Th8zQ1VebDgnG9MlWKpmEzjFsWefgirHyO7neuXXkMuVbPmLcdk36oVu3OhqOq4DPDOesEesRsmGMQxEW/kqMT946qnaLHb/PNZJ0Zl13jAPBScrF87Nkfc/k6Mh0PckSakBdDE43UEXQNv51+HizLnOG8C+yPSi44H9VsTq5oKmuaHdGS9YM8c380poUuk6EupnJe1mYnVjf+u2x9tCtdulY0nb2kt4bIe2s3PthNMEm3KGrKbvd0mPZotCmoWkfVVAQn6OSJjiPa8oHMRjxeXRsl1omsmHRXDEkLxyTPtgPEybGdez2rBHCJpR6LnWIImB2Cze4E+vUuE6E4LEofexKJHdcsMtLOyrI16GBI8OnG0ia2sapY4F2BrX1kDhA11c2yh43xCj5TOPoW4lLduitU8qkqJoLNps3bsb4Cwx523xRdyfWdv21WQ2VGMxb+Csa0hwTtE+yD9HYoQmSgsRQg6rh9lO7+3vS/d6gOjkvNKTLZo7rthlrHZPvVhc9rJsKetY0fafqYgRUfOyskSIN8HH/xD4I5ja0sGZJiplywnfbUQXrVN/SgcXA2wOut/J6lugYfoNKI43ysXwJVYxgawKxFPm+kUqFp7RfLswjTRm0pZ47tSNGKFTWkrCcGC917pOZEkbOmjn5jPhxOj7iYyrbZW73FQ6qvE/TQm8EPonS588GEcCuim9CLv3P//2v14vdwkd5GmxMpdDHDf5jG6w15FxTVkMFFOOrzuEI6eB8PtmS1pGfqDQZVbNQMhpBwdibuHFj8PmkV829762QtU7WfxcDKvLDhZgYuUuuO9IOqdTjulg4Ykv7fu++AIfGZwFB9QJCHlA0xFwLY1LvnCfWCBN4qwYCaB1VmgZvcTNGzakReTyN9sPBh0l/shGmRRlEWex3LxTNvHShJQPHZpaaTsmKwO7NTBjqJ5uJ6vXM7f2ndYtn2KnNoxJ+HG/IoMgHaFibcbl1rLKlth8kl9+3ePiGp2/Iz8N4cvwBUTsWs9A70SsZekEWpovSPHTw2rtRQS5EjpTmGYn0yg+CfV45XrAdUstrqzc6gF0unZyD/WGT2Bi0kTtt030SQECMMvu+7tEysSy9gRyZfble1zQkZ1Nl9Zzg4+x8q3YlXN7wZDqvbo9kXLS8vCOtIR2ljrT5s6GcztGHX1UzzDzZiu3Mygq+1vioQL64vu/3xIlE3TMjRyQ2rWpXRIeljW2TyIR+W69DU3xoq2+nq2RGDcWp65nbk1wd4OMufNCHL0ynU8XySBmLJ2l9wAfUPu7OLMrSseOUD5/Wj6XVK8J8rEtZFE3pCy+oArA297YQTBma+iL+Nz1NtmdFH4beDXCqLO4/KTM3xJQiuTYXUcCn2qrObEOxH/54onbq9dSVorYftAj4QKJxYaGUYV2jB/udiWHf9msAfe94p2siKqTWLz65p7oLDsgnWGQLgyn95OLiTPjoSn3fKwgd566Yt8WXwJcgP6LIt3JLWd4zyiTAR+NpKqUv55PXNXsyQbS46a6ClYvHI/QJptp60YuyKwPEJzFpn7MwMkSIkoEgY3tQL52IUhEiQuHLukleoDxk92a1WJjCa0l6XXPkAT7u/YNJkinBpG0cjia2JaB3PTJnIpwzTYUUfiD2Aa0e1ufBSbnvZUI3SjyAi4hWyHso9/me0JtumGSQDhkg1TBv376W+dnxSdnbMdq9XTwopIw0cWJUWUJIgEsXGdExtaP9WejQRKVTRhjqHOnPsHrhqMk2adhY6IyRu1NUJAle7CAvoDKrTeICkHJMiDyCC/XE3WQv/qRJrC2aXlwAPihSuHRp348ur7z0G3tW7p2D64kGrT1xry9c48rzEujOJoED/BiZFxdXF+zuftbTm6Ddq48hNUaxhy8sM50m6KbmD55tbvuE9BdoKNitihIuIL/uWDLE2TBOT1NYpAjm2Pf93r3nMJlpbPWijSjMhpMRJeumJD6uO8kLnKFGhto7XWAY11uRWbY01D4O/9F6VufZbMrDtKTMKTk+/MI6sYoXtXTjIX75yM8WBZ+MV1Auw+S7aloGZHAharatnZsG3W6YG1hB/N9pzz3ziW5sip5JwlZJ90jffOThVOnVUz2A0jRKFkHZ1NNYSoskTR35iGEzy6hSz9vCx7gonb7L2adzhg8Ig526Xy6dS/v60oPY5J3wg6WT/9cXBOECybfxOQyTmk6OvZx+FUkMzeDdkIL7555OjEGmVUyB9bmN7CbC5UDpJQUs52Hu6eEpprENGI2dMA9vnx0sOVEhq7qGdrBFeGXeeoesWxqp6j5dDos+G8iJYl2EPAQn/HuyYdyGD30H/ODF68EzxjIeEX1+NPhQuQhlFW0SFIg3MLyfwFDY8KOmSrO1knqWdRczfOnLqoslbhI666S7fvcetxdk07N9R8r2HDtNEiHzjm94fPqGf73b14rv4ucsnRbT9KhjP/TQGem5P/dA0ywJocKr2V7A2tNJEoArqoV4lXAudWD/UmZRVuAVcY+q0Jn5zNmWTj0/oeh6D3xYNoyuL0kh7PTL1+vo+5+3pJGJTNqvp3ZMsvS6c6j8U/jLRay8fIGq6el5n3U6orygKlD1CCiXQg7juzDsRo7JSv29JEVzdhuuYps5HoItmaUnHc/b/uEWl00pealZEdOSmuVqwqLokqnu6Hr0f4/7cbbr3U2SyHoEyUsbC0QQh2etCddzerAQtLDHRuKLozr8F+D8IXsQJKL4XBvg474KOPRDHbdsIjeC0rGUZCla5JoXktJ6vLZp6F/A1yjeLvqR5NeT/orvXyTenhVVkZKAe5zcvfnOb0fRzo2s6L7vsOLOaV7Vs2Tz887RDj+zO8dLyekj2/ucjl/4VZ+sKRWMM+MVhuD0xKszIwYOon2LHQLFQcg0FXk5OSZmgtFi3at9jAMPgltbgZ6LC+kc7dvPZ0g3UAQ5O0fOAUy5QhPm2w5+/LmTuvTKIcV30a7pIpRv8fUnB1kLfC8vkLuc9U/YQRNvk6ixhy6u3Ks5GBITNtKqaZsG4lMjskSANuC0GEkxPJzaBs0nycbtuDgj52rcnlBHCrLSJZybgKh6WMDDaVEQtjrjvEipCzspilCxxHGLkB7EoZDBz/kKT/OLPOzzPqhGs4DNtW5LMPsAZGiihoTIokokMyum6MnATnPeSFpEz6YtEzRbVCkp4JzZFihqGwN83HMyIwD2kqJ2R5Kdxc6U5fQcP3ot0jpZgkVJXXAP5zUeIU6bXHuRlq0Kp6DSkl569kfxq1SNcmw9hc6EiPomMWpPpSePrIe1JRUXtpDjbfIyhvzyvXc/uWHC18Wn60l/Dk70WfZw2ikk+XZLRSi6OnXYduqiR1nnhua0DrZRkDcJmqBfsuQ/zkfqsWzgCNnWMMqka9CaDbN2yV5vje/MSHIQWIGKKeXK1WKZKhp5VbNzpJ0tVkv8T8GDlsDTBQJhZrpqM6WcL+gIywaamjo9XIIopSUHShx9ld2GDy6dKiSLTBA9smGH3bZ43HkxaQAbeLZ4prVXEL2zxcqR4cB2d7Vkyzp/qH3cBx/YwHaYlXUcI9KOXSiexniTXZZKll+FZwL4SF8NPjQ9zppcfYHShybgYyTMcF7q+VFTSJum8XQWQjjZC/IkgoGD6yIdc6SHh1WJ7FnlvdLpeBK14QPw8RlJDVwbvv/5Z48xthc+/vfnrSIJxR/uCGnL55tTjmw2rw8cljCsv4WPMfzitL7wLervUgjkmJMQIO9rJnVi3xYoM+QlmVTXFWocxYxurlRUQ9RZi8atNSPHWYpZnKxuSNG0gQwRPOBWFWkkp6t5XiK5KQqoG2PPK6R9B8/rRVOVAJ4mB7zcgY9FRBUxQI6jUs6Iw7Z4XlBJzhuusjiofTTAiwoRJ3BpGYNuktPTgNFt7ZkDfNz/kZyks7qapmWRJgHiEMoSJ/dIJb8EfMhK/HrwoQI+2heIPhQSAExgXmizIKbyciRfpPcJacqGblWHSZWnkYeEH/Y57pHa1kk/e0HNAb6y91V3ianxmZiop5+2JBAOPfKg2Asfd8xf4P4y+nJyefnl5uKsBx/km9eE/acxqqfbIozGCZVXke+0QTLzLZUWqENdtji/J7a4EZsdLk/2pJy3QBf8FmqcCU5edozMwiUW+dhFMhF6lFAzbUyVjRSI1NYB/mgPmc0qt8hCFxu9Cr3ROMbmb2CwfRs+5hF6LmqzbMcUceeIfADXyhiA0S5r19K1gEMXkgmHnP2K/B/Q6QnxNMauM3Re7v00kl6s5aD0JY8nI2SYSRWhWu0GYuZFfvlaC/5/RfggN8g211+iRYRD5WXlsMmY+oLwYWueDRssRRr7oCI4LocclmuZRzV5dNMlZ6Z17QPhR9qM77vz+RdisJ+zc7ZDM7jC7xAVDffq23HwgXJqAJlCVE93eB9oYJSzXgdI5C7GbksWhvfkuwRTJgsbcUXxlQXQWGQgCxjSBOf7VUJi57aPPCIhxIGNdmoixAjwm5LwE4JT9Zg78xR9sLwq7XOfm1R6NV9WVGMpVg21fTAmEwBIVvuiD8IDZElEkwnb5RKirBD9dgAkbUNRXTBvub6KbrqFR2iwFTTJXyxbIp0OvI9D03LE9mAHAVtTojwy4BP64eFDeh34IBJTl8Kpwm2eODCGLQad1SN8NcChLNxe62UcNNn98HEi8TQt2rinn2zbAzswn6bkFXVxHHyw+dxX59MlpS5b+LCoWJBspQMw7wI6bO/txLlecXEWB5HM4V5svgARDO9+CVcmstrDjA+QpPQkkuXXyWySILtcLRLug4D3oYoosGnnY9kGIyNaLEtQhqSEwhewOGxOZFqCFK9eLWN4shD9J0e5Ir0NH/MVxdRuO59bqFcjaEFNy6aCa0AuL5Sb+PPVIldGHFiBgdqQra00xgXFsobo4+GoHy+S5oZoFHhETvroyQu53CkJ4OOFkxceyjFx6rQR84FSbXXT7YZAkAdjDzwRLanD7Vmf9dYn9wp/f7pA7QNtV2gNel8u0IW1hZLy6fX0jiTyffABlfVPaN5imqY3cOsU1TjYZlFo1aX9DwyROuNF26gYViHmp+qiiYE0QKmwSwW5Q6ratuDPnWvPEA4QwaKkmRdVNG4dIiFJFqoUY+6ViOgDRVIkHGNGWlem6+yRFBFJVZD+DbRQVvke+CBHI0QmxLJGRSYmFKdqU93Oma4SIAyJUJi18QkNiIFqyqrlLpeNwwWnAT7unXLDJ9K2bPhu6R6l4PZIH0qnBB8y4OOlS6dgjSH3tuDmx5hk0Qw5agKaZfvMsHro94lB5TRp3xUYCqPJPfe++PT10yf0Wzv2+ekZLCwvTjiXITu5fUT2Pda33yKCD24Cb/8Or03dYPskMC7n93YZd23T1aLSCCgMzOB7zRJlDVWvUN0giRKgSrlAmAAWKN6tainKnSXVPkD3DFbLesSsJKuZLyfEJ5Hi5bKijY6Io8ZcuC5saVclHjZfzWdU1KARf73ZWzoNcdFp5y2QFmSwNqBYmyZiMqbHGwhDWvwFGtPKfDRlNHrPJ+2i0R4Ten48+JANmg2iqSfIPoz4I6BL4dC4VTh5efHGLca/dSvKU9/D1lCcKM/iseQ6SZJ7o2Okaen8ixO/6wcuGFtCpjjDKVKV91ROyLXh61fe+oQZNzS88pm8Ui9/N7zvu4N0gulxB1NIrNDfwseIwgVifM8QfFDyQuUPL5iQ7lmPt6IgyVDRYWmmzIgDSzBHmwR0CnReOE2hGcRqtUxFxqaVdJHhY5kQrhLrVAywIfqYi9oOwQfBeLoAZHQrmc9rYMYMzRjic4wQxSl1u7wDH8tVhFqMDQ4JqGHhfNl4uK9O5JWEah/4vFDnZdRR4SdoNtsyJy80CDMM7B8yyAYhGIX/NPP9JPBFYm76UZ0La3t389Xd2N131/W/b3/Y3qNbrmt396Bb8c9OpnXB3jLQugDdyIFhGrJnb9w7p44Ft2HMksC4cXOa87uviNo9SrlpAwXbu3uTrGhm9LNY6/uvf+7xnOgouF3YDPDkF2MoZkfJNCvApawoyyjEjX5AC9/CAI5aWOKr+EncFnQ/EfmObud740C4ybN5HEgVWtToPqRxlKQTnOnscRbFWQiSb5Jltv5w7VRhwmVcQ2GU/3I2m3PjKuUUwdoDH1f4HxKmF2fIPSjuuPnyhY20vzrlXUOX/+0riHz7HhBlDEpm52cGNpxi8W6LEffQ60rvBYk2xzvkbgRv+mzJn3ymeODfYjl9cfiIl4APLqhMFSKp0XmjXK7uh48WDOAYByeVJbK9liPUPuidGeDjyemLjYJpVUVhngUelYxkbQz4IPHboNOW6H0T2257nfje+4F+b/MjSckEgcdX8cJG86dFUzIHk7ebH0SCD5o8Zol7p+JS/1eLsq2OP1a6WUkaJ8x+T4mmTyx49LPrmij4aSbOoNk0v72KIr9nre+cpSH0gMScD5224eVeJG5SRg6GXOICtLFYSqZFntjKETkS27ooYIuzSeVEwIef1WP5rspXF31cXQkAweqSmM8EH1cBY0WfSrZ3sh+QMjk9o0leYZkueN9ViUdH1MEgBtJHXkujHXtKRB+ICVpil4LB0RC1tEnNF4cP5EdSdyQSCEEtWpmtDsEHgj4UT2q7awzYERCCnvYAH0/rJJIqCsJ0sIWxo11LCGd6mHlJxCzJeqakmyzZfN2/Nnff3D/PZ+VmZkbcXGJQLKbxlQ4AcFPy2CUAYgpiV5zu3FCU8+qRSMR3T4uiyNY/CoI7MLWiy5Eg10dRx5/fQ8yPOnZ9tCHZb4j1UeCNOrEUmicDXQH66EkRh7apwGE6LiKpqMsiso6gjbFamQOKJTKHCW9gDpsCcC6kPR4J5BlFSyDIp0+fBH6cAT5wxXRjCLU2m9uHHkQc+0K8j3NM7QM4aFxRj1vKXALWOPWgPwLmPVnKqtsoCduzQEzgKLaNwhrVdyzKbV4BPmDTXM1X046N4hjVcnEo+lBxoEXjrEXvwGUd4OMZ2YssJG9pa68HTDXIBWHm5dZsSbd5djbHeh4luj2esvkhynEOT3q3YP4zz+syCKOolwV0ob/IBLDWF7bX7K5wwl9TMAP9AEHO+vqJn+Zt2WUbRy66tx/GVV2nE7o4psSAk5eyrkKKtCjJQnYl8i+XfhA/YbzK4Z8n7mZ5dAUvcSfcx2JdRs+njCYMXNA1pQBzg5ghDSvyJHdILyF17tHaudX3pv6CVedsckuxB+v1ZI1v7Ut9kLCcADU+UbmDZl/QejkjA+1rB/hhF983rreCYLond8HV5eVnIq2jiwPmGMALTI26QMwD4KDHh94YGKfoh+r9nBhPNFstS66HUHF0xFWvl4ePZYXHKpj+wa+ebdR7Sqdr+FisoAfjgzOPQjU6BIhXpkhetAE+ntGsANmmaKd5WeDls1S8345CjVtD0fSRLPcNryVh4sHyPGsNL7nnErNVXtham2OctHQUeavgYelxShp7hk7TmYqxMaF/wgqTpkEzw9ruOxOdl8J4Qu3UK2ZV0OkYyQpHCnFRzWwSkFakHR9ukiySexby9wgq0QthWZbBc/oO5AgpEZpC0q3O7SCf5uBCh2VVlRFRTJLSU48pVVG4yOEH28qK2gPQrKrXCmA7vI8TyJbeUMX0E8Uen6hz+/lcQu0DwcenT07R6al343HF9Puewf7vMbDnnOADB2DpUKj6BKTx4VKO6lERF0I+Vl9h3aBPVQJyOu1evEYIPhB1yvrrwIeS0GQs/Z5Fe381vxc+5ivLkMFHQXuY80mVej1D7eNZWp6A7KKN/JR5f37q40M6jqrshQS7SAfx1iQ6NW7VXckxKA6RVNAGZCCpLJMuEa4iiRCICGGxgKBYBofqWggJKsE/7JZkRIAPIinuX+v7rX+WZKWrSvhFUQUWyVBBHclgkV3qvLhQOZOJOaSw8I/W4edaY5X0h+hCpwykAHLVjU7KVoGVKGIu12BRqnDLVAqRJ1m2F2boQqWeaVrjyjvCIsXg+qgt23U2Fho9XBz2kWzG3h7a2MkNd2kp8bjA1P3NJ+iAnH45v4EEIXb05WXSTeezdlCie3t0Qb59I9lTZD3UBL7g8bSgzcZuwPUsrjY7aT1R1P7TV0nJy+c5eY3LDGi3Lmv5VaIPnSGjBduRyDM6+Gmrw8mLVazmJQ3r44mFmLSrtaHz8vTOC17PcbH0JXwWQGRKqqSbeTFM0ouV1zrELLXX7YruWrkTx1/fSe50zcUXcWK2g2zWU7QxiAhA8GFS51br3hqhrfsoXSKZaSkB4EO3ejVH2Wb4UB4xG9fdNyhmpS+vQygW44tzeur6jmrifpNxdRt4dB/BLjQzu9AKskadCB4UCqvMCbM0sl0kX2ZYZ/goy06BF//BFrGQbcSXrKHSR6c0ys3b1rsrNkTRB8MH6p643LE/6DqokTmX/4EqMgDkO9tlJyRQlt/yxybOenI1ook5jMxdfOKyqVmXHsl8EHi4IQowbjXjqkxPM5IE7w2UJOqxTkUZC1yL5dR6efjAdYBr/P6iBMkc3NRxs5gfgI+G6DXJYtUGLvNh8yWeoz7Ax5P7LvhY+/GsntgTDJFLYY6ZF1uadGKFan9Tr40UjpAI3d7H8Rk+xNbjm3XAR4U2/VqBlj9061t7GsmYWpO3GsibI3cKyOAoYmuGcQOtYGgebpIlm2hjPWGq9f1vSyzztbKyVmDG0ENRVqEuAEXhBochBvZ1ckLoa7tvDikr6o4MM1/JWqxqJ9Pc++TRb5E4ky5NZinsHCN3modp6QZlNsbU7SRzpEewow001tdOldyXhrgwdINYiM/eRgHgmVP5g9nmfBHJzInwovsiQb+UlIXGQYTq7vUVkVGpm7vj6fDte4Ee7zmhDswars9wrrFQaNn2v307cJNmZCq3DD3Io4XG0KqYimlhg43okYBXRewxLvIqhBVUiaV+zBIGDQByvhW9YR9sDJcO54Ai2kYcdyWIX+hkl7bLaht9gLSOkhGmWIg4plhB3S4WW/iQRROomi9ioIDTzBckpmeit9uEOOs4oK/jiRlEXcDkrca64SrxyoAaljRy0TqCSIk1wMeBP1gL0rz2cSbPU3QSKxJWIdaprr4EeRNhelH1tGYRcCjMOmW+65MfQWHVF4mSF0vrI5pK8PGUYopflHXQ1/LV6cUg5LNecvYHMzT+NMUkeqSXMx/wERaJDwmyKHSJnnnsn29g3tV3N91yPwT3NOMypSlJ5uOeEjRsTWGfc/HVK7btmD8Fely7zHI//T/wRcg/IcKwy5as7oWuV01NfdcPaCTxm5IS5wOT9djTmGaVyNumWjHV1OZQY5XSxKYhWSUnHLpR8pQMzjmYa0EfDIpkGs3SZtOxRaWUytCpIttPXmjcHvhBs7fNDE37VcWPsFMuQgSDmReDoo8VXaGOMYo/h2hAvWxzHEGzDBF9gBNHicxkKWSTnTGed5Wm7iAXdL8ABew6oDGG/8MxRl7yKiG2bvD82keXBDN8KH0+gBo/Hz740IocpU2t7vAltCR7CuuUqpiIPpSd01aMfMaV5ZdEDzoVWyij+phPDwK0XqJoYthhEoYebZ+jj2M51azPs0MukawobuRpk6Ph00TNSdn6YFxeO952rp8dKl1QRD5ZXD9BrPJ/YNk3sy37jmgfdlq76q28jjR8ZARuGbZpy8yxVoii2aWwYkCZ1Snnc9J5xmWzmrcsVVbN+VaVpvlblilGWQ4QBE2TEVdi8V6k7XwTfUAIoDK5Y5u3CyanVUHRL50y+Fs4fMRRBQb2dVIsDGpSBcJjZFBYr4CJcsDwIUrkAbjqYwq87Yrobu1kiD4O1E7tCTqm6KiGYx9chzrtah8vQil/VfhQKY6ppf5wjqInT5q4xfOsyjLYNZIAfMycjk/wci849S4C3zaIgwvLqNB03HHsewr3wI6GDxMGc9uBeXDYfa9A9AT1OMt8TBYk9N8xXUJ/MHKZKyekUgizTUmq8Nq5+up++gKy6vlv//lMakV1jxzshWPXFSM3typXlnjVICFIAAIzS0mHmKulQJVqTMOuNMSSZb5gwiBkzCbgEMj4Tq4MihSjMLJs6OMyJuHCNlYML81C+DdJE8harR/FxXkPrTx68BhmLk2Dx4GsetyvFQFAwCwaa3g6KQIaunYkeRkdFXU+VhFBwunQkWyThUqMlEgMdA6aYKyPsq4BPg59Fm22qrSQOoZ5k+KFBmmdkxf5+blRNJ3tJi+q9pLRR13vdHBkho+nzLwEgI9wW8Ih9i3VPshWSBq93GsN81byTZPFDqP8kE//ncu1crzCtY2uUE91DEVMmMU4xLNwn/q2Kbpjk7BQMGU1MtjbXhO/7Hr0SVfBeDd+P/8/aQbUmvRs7sZKUdnSbqOJ3nZdBDQ2rLBA3UdZmPatbohqOQ0Oap1JGexAO8vSUQd7pkyONxMUZDDt6mC4F8xkdhSxTYveCmUHpUB0pPjTwShhTCaJGjTEgp1as8OzdFqve0U1FdknNjBSobYYra1nLA3po0UGnJrworBkEI9czRzg44Fip0lGwLbvxVCfHXHj9oUi9ohEM6SXjj5khbNrqn2oO4dRnzZxq8h+SfCx7jKxQyJqHxXRJV883mMdHOpV4NimmBxHlK1Kknb0MTRp0qT2OosInEngBtC3JjVi4xEQzH0nRRdWORLVOM4BGdfwW2Gm6tX1V8QenxwYNPz39y9fToysSbyJv82aHIzaTu7qpG02uUG11vW+nQjW/YgJIiP+c9mZHdUXRJL4+8mjzNA74gg5JijCa0EWmt786bGUnqmvo/HHwAahhthskAWxUQNtd3Uo1tNAGlGaNIUjoAkN7NLfzcmUKm0mZkh9xSSveGvtR6EMamOHGpfcLjA642DovmnCIjuTpBcZ2Y9vw8dLl04Nte9r9tTSqUuN22jtT0fRh+Lgqc9w6rFfcOZWEykK9gKpr2+NBkz5kQPOLlmyBesqBPinxMOImtwxbXaefqSIE7lqKdIX5/RkRPO4XCv9ArY7kc2ury+gsf6fL19unLhJx+OtR+bEG7sIU7U9kSHBobK+TMmK49J+NYT52OZPteSu7MJvoimqQ3Qdognb6Sb/ER6TaZdpCp7B7TdDhgAbqZUZHJsgK5ntJlEqv6nCaJgCDQXlUlRMDGopT6CF6Es684Ix+6XDjJv4BOLThafpstiRM8DHQYNRKn3pNt5wi2cnWGkdXChFewn4mO3CB/KZpHp28iJ3R6prTe2ftLWnRR9qFKN0mgRrngaem0dVmzKajPDZtV7y1TZtTUw6i5qK4qIXwFZKqnJ84kZpQV14HX5g6hjlD2eSgK+tiT153HHQEN8+qmKcaDROd/kb80NOPqGZq+ufLi6vR58//+fkBtqfGKqEG/ZG6MO3p7Un7XlAETkonAOKsIHO9SPyqRZuTYbwiORwQxHMGWvdRbcYTOgmsXMdOpHZ4mGsdcgkbURX8RCz5aJGJIfHi6GZHPXoa7K6Nv2yOWu08PGGh10bc5aHoipKH7ZIZ7jdTI9gK5QTSVxkBWfwETWpjwYfoFaI+NEWTjz04SMHHtQ+lJfZLVFOpPUdd9OXgI916bSppT58yE8snboZ7FVhtWdte6dhNsMYTJ54jv5yuiTq9kOvmPwKWKK5yPHH0a1ylasLPtIXXwierkuoKfDD5pdWUR9f8r0gT6jP58R0PzmDw8OnG+v0C1k9XF4akG2Pmix0JzCqmQh1GH9ixU0kSca//jGmTkqdw5pnhkptcaDUyYmMW6AzW6ZRkkMkkaTB7Rc8OXwsqeSN4phgbrEGlia5vmjcvkDygnN4aau78EHJy/NUvES4C50SLp324AKJbVs8/nh+M4fEVNt4guSBvNuO64Zae7Af0HTlha251jbf2sYGEzUW5TE5kCUmHUMX43o91a9J3EzpJEsDYfajdwVFHp+hCnLzhTWFLtGxhVY7+U5d/wcn9roICDrAUSPSKXIY6KCTV5757+NHAiDgzi346JMDsikiGUJDBdqJpK0O9NAlXRrg4+kfZt7bZFHEpqHEmZRZ6/QlzG110bhV++dNoXX6MvBBpVO5H308ET6skmyGYKEiom4VaXYIthMYzeXLRnuGvpVlJUNxmashxrYtc+SfP6LX1ilrG0PCvQ6MEyQ08uOK7sZjtzUG/D9BzBDrCwUflxeIQ04d/Wz0+ewzWpzQeGKdpQmN2yD4GDtc1rJeRZbuUQva7Hi3VuBrlBA1vX9ikrJxegccmNRhTyJiCV5UEPzjlU4NdbeKyh9vKp3qLwEf5m3WKcIb9QXgQxyJJm5rrZ8D0cHb4vHHHU9LGIzNUls4tFLkP0mgsDsHE1dXlJfED1m2RDNH1rdMb9hVYgrw+JoFn0YVaVIXhu/3FYtdP20Ki5TOERQ89mW4IEkQRo8TorRfnGHKjhVOwWWN25y02UggAMGHSwpvbtr4jyksvuqy7SAO47GlH+pfKfRWsrOAG5Bc1USSHlEpGuBj37g+zrWkyKDpsgLWkbmGD+UlOi+K4H3sbPqXiD541Erh6EPpRx8KSCVtLj+6pqL6GWLf1DPW5Aswp8dEfYxRl5dfTuxU6dCaD0ljfxp1LTVF9GTkR0w6CmJCBItbf8c1KvDCdsZO08bjo/IzSYzYXVxA3BSTMSf/PaepXePkJJunNDIMCROWiiQQQR8mNtcZ8L8NHs46FbRV9VDBf0QlUtm115UoTZKeIu8wwMdmlFxMjqlbmSjBOlWkFxFLps6Lfavz8iLwgSMxbUzeiT4YPqRHfyA0GxNZq8TezLmRfAUsE5ux/rIvuCqUCDQKDQg+dIlJ98KJSNYfZTgl8ehtOO6x17kFE9X1hGkQj35255y5sMLQBblLwWX7zB59uRkXTYJjuyxV2dU+nAjvItfK9DfxUXYIxVxXEhrs984MjNTNW44nb1jaS2phf8DG7TplQfVDcYScr+qHL2UTpXHjVrvVeXkh+FAwnV/vkmM18nl5/OcBZRToccb6hkhHPaiiobnPl84WTUN1PNCj+aRnj8dhYDsKHOeopfiYqpJBrVAM+sP1xe1NwGKE3guqOiHKwmPDAvLERckD+sqUxCAKwUj/72jETKomdj1SYiPFEhaz9cbhrCJKzOgtBB+SadLHmCpXpImoHOoUgAdiqg7PkhNvTNNeMHz6gKVTIunCNNG1oUgpd74Ea4/b50cfKsOH0i+dyi8RfXCYpBJ87FYmVIaPxz9vM4IXciym7glA0KxV0ctF1VeTX9AmSuCoF0Nugm3mnCBEejQyItibqMdLS2D0gyGSBh6hvrFJX0j/g92biqbQpEdDH0od55cshPrpE4ch/7n8/PvJadpUiGl81rsfe0Jb3fdLhDhUwXXeRPbSKT9Arl4+5Mxi6msVBXNEz9s0mV0ywIf01AlQgz7O2ClJUha+I/MEgtfpfWgvUfvYURt7qdJpBx9i5qVX5H0qfChekRcBJxcMIbQjEqgni3DsxaprNNphY44sDeiPN900hy+5Tew3y5TkJ7zetjSuMXuLNojXr4FAAKyK5K5NTLmpZR1RSEWgcX72GfBxjezF+HIOezp0Xop5xh4XrGtGD+OSzNismbyRrOVtUTA/2MQtnQPVBEKfYTRNJkggdVE6nUIi23Yc+udYht0th66xRyN8syzbWfu5wL/FJjcX17IcZ+S5Olu98K1EWvddmzxd2OcFFyAvUrhjzx27d5a3Wbs/4bfcieM54/Vt+G1smrSoa/QPx9tfmEA9GdvJJTnjscfCxXTK9Nb8zPU+4B/H3rjzmRgHcVEWMe8Q/kdhelaWeQyStv/4FYijBGMahbWZ/0/laRIk1S3o62QTDh78YpbHE2cc1rUgOEqPdtx2aYTeI98orz8JC5PzGurLutmTb9Kth0sfxpfPKrDjanR9oXAdNSyqZGuP42H8DX/V2C0a3x3gYkheqOIvpSWsiwJDN3RLp3FQKK0XaxukPauzR9r8DPX0zrWFTA4w/B9uZdchylLvSrBjDh55QmfS8Ag/hRSn6nTXqQH6MO2uzQuUVVd1vOvokN6ydMFRMuHkItwjxJrNZjBnyTIWNIaVdAa+26zEN3J4yXEF/+vWtFv3ubzQQegwwueFz9I2oSEwFXs4rFLPwnin49d1kRCVG/Chak/5uNJsjt/kwcb4pTONJO+VpiL9dQdjYiNDkZUjoo+Tk/+enKF960AUGT+cnvrwh8vc8cbHJ3CIZjL2syZy3kjOMsDHvypWKGFMKG8gCZWvO4e27EEE8N6tIUyQxO4RW1B8x4UcNO+CPZe6fZ5hO5NRQ9zbzgwfUdyza0nie+1XeiiQzeqq7xpBlg9F04R0YQtkedGWAr0gxRMJszc2gdvaw6EE2JUJvImwtKIvARke9eOHMfVBJ+SVxVZ3vvi2EfjiNblnrW8nkqZr65psB3glsKoydQk+MIKO8h3oThjRwWm8qruh18c6gqPiakigmgYuZvY39FM3RG3TDcu28Dfd4GMY8XCSkyBpenVxIf3XOLXdP/L8D/+PTFRl18ZffmBnqxC9In1IXj680rpB9a8ZZJeKjFQWghBnFRUucyXHB/tNkXbMXzo/F2xdQEJVN1NycOmuwE1wcqrj3dhlivOicJg7fuH+8ayZbb1ZhBML+7xsrO3IsDIDfJBNpPC+G3d+K/wNi1IZr0uLyIZlmx5R9cAdb3On7bfenZ6yXGajy+MY53GKeCCoSvDhkMSHYQOoIU3jVE03Nv/Yt09Gs8yHcQNMAb1t+gIFQSRNnhNXBE4YdOXM6WH+yu/nrBx0of32X0zdJuUsCwEfecSvLyGuC00p386beEKFR3kAjA8+MseSBk4JB/I4lB2UJWYkTEtihUTftliyWFfl3lpLy+g05U0uCpoOrxZUtE1lNEabJdJVMCvVNYMiQgXB7Slwo2AKqeQCVguyaJOyDLJ8d0n9K2kwwZtijg93BW1CZr0P1GUzrjkKxgeekCLb8RRSydJ6JByPouqG2inFkzKNaah7OkpKvzGyZQKoj6By3S8lImumshXCgIJ9VKWOLWQoLB+SVyZFHzwrLj2eri2RRDvwA3qn/eLphGypJgFeoNw/+mjQVNZ0hB7n9u9WQiOEf/zxRzj+Iw95Ko8gGgR5N2tSoqQpyoAXH560jv2BKLcJVLQQAxdjpiGGAryONnb/B1pYGsi3RmA9pCrRmlYpFF4IPjyJLRxkUulQdaaNyZuDH8mN1yBmXOdr+FAUFh6izgvkJuRN6001AB/FPtOm2+RlsVQ2sEIJARoZNLuB5yzTPwUUXCIY0WOpe2iJG9OreyvS5CIDxQNdMNOFkZVM3xQd03h5DHm9xHEx/15EujdpGo+m0ZXHhx8sMEZ959Ld5lLCQspFg9XzpwQg7kZT/ojekGKfwzeumWWEHsAPP/uDzPbGE7Z1sTOYLOEzIrtvhK4+wMe/GX6Ymg9VvlAax0XmjeIi0G3N6+SCJBFEyJv9Jm1Dg802EjZJMnhM5gReSyGGN8zOkgS/D5uo2a0a/bZxq96OPvbooHXceohc5gLTZGVt4CEat6SKzs+CVSPI50VRd+Cj8185jFPGLkmTOqzmLVLBgeqBcmvtKqORilanGiHb2miMvz93rVkxDtMwygIpgO5AhCzEfHT4ASkvEwwyoq/XVa90So0lP+AoxB0DCsrElY8IFwydoi03QHEKBlZZhx9+mP3hM3yAb2rPMKPv8nTfo2dqBvj41eCDvEd9mMqHAdS+J7aXNwk+ZAH0PuSNS8kefyShsCsLhV18E8GEOpmBBGl0XvJr2hglLyqZnOBXMBWmQAy9KjbmUMcrDGOoMl/nRBx96AbrfWxtojDAqnbRx9pCs7NYWV9BT5TARXg+KZptGeYI02oqa9WRXp4mKpiQ9HEcyjpkEtMyeOv1tt/t6ON25qUJONPWz2MNDFRtVF0vQjigh6HjRqjX2IrnRpG7nsJ/4kkA43M1sILZHzQUO/a3nRicGZpmFjv8chj8XLQNK3Ct97UGzTCv21kGpPgjy9fw8Uf2B8uKoDZEdhbWIT0T0ueSNy+VbhrqAB8vDh8q04T25fxHLSE5qzz7nVHYySni8iiKplpQsPQjDKMz5TGHZ7KZJE9mJWym+nPiyh21MdCxCD4oDTme3oXpVCXI66m0HRqjT3zMrFNVuqV1qh1/XEjL+AZPXNk0pqp2qkkImyyv830zDNEhlV+0USnrI9vSkGeYjzFouF8+SIcKTotO04SH2qi11JM0Rh8mKZu6SshNhqY9KGfj9GoNsuScZdouDMOaKot8OkiU5l34gZWHdBTPbSpXPyAEINubeRya7RFvhGYN8PHi0QdOxc97XZUXGBUk3TcN9C8Qw5yR4gROUsU46jgm0rr8ePggs5SN96TQ39iFD+xCNZnWj4UPOryf11nvOArN7mbEOpV79Ef5cVqnyNKaNC/FtsKjjNZG9YbLdp0WVzst1jvFhnvJfaCapiZm959fg3SIzEruAymss9HBpUYSy4FtaiEhrKRSxCB1mUWu2NPGesYXxR0NHt5IYZt6lkYBD9Si2/VHtk5f/ggRg/jOCJoflnRQOxjRLOkXK+v6lzwkL68AH7r6/KgBnwD9BZTW5W1pzwvDZBpYmklap0+Hj56aLQZc8lsD+zBAyF4GPjQNmQr5vPROh/LjtE7HMCSCokCOv9ZRFExMOA6ZJjgjeTytY5vnOC1n4zf0siLV6trm7/mnAbTI6GSSNCVproeikT3Z+Dlx75p6rxHIM5gNrGY59eRjIsrEcEEBt68FdOSwRJiIFjhijfCPdAMff0zyP049zN1KNJljHJhc9qkfTa7mnUSbalovOBE/wEeH0hAmxplHe+Ki4SD7hXSS8UHuhGtYQ4XU5wg+HuNWtk1eQH6nuKA387ILH2y/lD46eYFmD8HHtDesg9KpTLM6lLvo20YStE6LRyQDTr2MwqQqx5MkhrMYtlPo2S6+WnE9xWWIbYcx+UAHCdgP8ktrVIsOlfpCgtdgodWowfrsGiWsszuyKCMC0fwprohpRqFu6u2qiiwGckwExuB+HH9EPfxAJeQPNOXFjNy9LwNGWRHg5KFNcgToOn204uo/BR/wrpG8Wf2chaFs03qRaf0uzFBkE6MsvK/J50V/CnwU9BFTpXvlgtC2VVGxeHz0YdyCD4M5JNx5UXrRh0wD+4+AD0eq2gyDJ3mROuks8pD3j0Gg86IZhMzysKwtrwBzNpsUdRZXLyhcuOaQv0x0j3QEAROFR04OohimaPzJuM+CpWwGPFqv49XSSBAYgsT6C+lqUON4kDb0O8osE/OAH9kmfxn/Uc3ckxEVqg9JKvqr5XwOFcBpKAbnZdO2TWWAjxeOPhB8++j+J09dUZK+jA2tzD0UcCA5lia9fNTKaWD/SfCRF7vw0ZlU7kzKyvHTkpfJdCd5oRUCPtayw09KXiSpbjHUEidl7qUY2K9TzNZUuZUUQbYs/KpGcSRPMYtL8FFXzguOKir7e1pP/+CSWDt2NtSjYy599gAEwsYkESZikDF3ZXiOEPTbTa4iruKbqPiBI4A2vCl/+Pjvj1OS5BlZ9w/EG3K6JAViiMRCOTaLrQ8DHP8sfKBmZXh1KD1n0L6cyvZL8MZ0fWOcIca2NBYrNB6jFrQTfSgH4IMAhHkfj4cP8Bey3guAyj6ij6YZ7T6POH0UfOh1G+uGLdthXkFRK65XaVjPSDY6qcj2MU2KzNUcJ6sDq65e2J6L+rvUQn6+n4496rrb8EpC8z2PHGaOrUsfwaSDDOaDdBfwTSAH3dZN6nDPdzMHNA7jTfoy+SPMopvz3w2M0p2cgJlKaqh336ZqBYFYbKDFEp/5eVNNI8/ShtrHC8MHKZu4ta8pT1wUQ86mz/97dVXeoIi4hPfaeQZ8EOu0p5Gq3YIPJlg8BT6QvCD6mPZFDzErFiVNs1M+1hSCD/0RUs4VzNdRMcWQX7FI3HRWYY6moDmXpIn0soEKSobtB/iA+XKtvKxXpcw0lBd2gaBOfAVPapcH9jjm8ARKTB5cY54NZDUg6vsifaFJnT869ilm55yTE+vEgCD7pwvYN3y+jR8XF/XP9ufPHz+79ePHD4KQmPIX8qeQd8b9NLLZI/6BaNQovwQLXvlHkhcE8V4dPAPmZKnMXqEwpdC+BHyUGbkv6Y/nfdSRrPVxh+SCRrv66E9TG0NmVE93AjBtY5GtbtllzPt4RFBD8GHK41VppU3qJ2O/qJY15v6RYcVS1XjRovDyHH2YQKortleUlTdbEFSFa49j43VJXbcLN4iwIcKOB/GDp5C558uBiR8gfcHU7Zo9ltrWzY39xSJDBzg53IEPJ2p/zn/S/2v4mANBvrdwRAidXtpmW+vyFBh79kj6VRb8vjV3vlh8WPggoiRO9BFFH/rj4aMg2liP92FhIr24pbT+FPigO+7UPsRUG3vcmv3DPNLj1oZVSoLCo1XlYVqlYZbAP7kowJcKkzL2imoSlUWaRZO0iryysEeGfMtM/k2tjVA8ZTB1QrqkPvdgjkAOjj662khApQ+mvaNePduQ1xGGuBAg079S+AEnmM+3H/8ibX9ssENEH7xQTUUUksUua4wqHeMIpypLX/uTgWImP7kR+VYWfTg+dPTBPGtpEldTow8Dj6p99MQmDfZ63LXIfhH4EIkPqfyZ1h34OL724QVZngbSaIxzbE49ljxBKwKF1CRM8iTKsgDhexF7Pn4Kp9nYtkTFU3qz2k8KNeE1OMk6BCChx7Zwk43a4EPJC39F7jZh+irKyTQ517FPiUgWAj6MTyzFfrbHKKZC4vJjiyDfBXZQQEKbakGMVg8K57pIY5j4aKkvZxL5BmofHxo+ZJUzD7bIfoxeeY/3EUl9T1hQM2Z9rVPcJr9E8kIPaJgodNTb2V26YBDv4/jah+WSODmelTuJiNodhr47lhzMHlPpAJsIouhB7NiuqAg4lv6mow8ezCEBcQR5rj7OqYFKEunrzsrDuYvoxEBRBaN2eJ+gI+L6f/TZHxO4v5gCPzDef2uNGiQuP+bz29HHYgETriUH9fMGvFc+s5hCglpfTyUB+eR3vgxOXrDZPyp8yBxy+CCty5L++OiDZ176uxfwsVP70J+stL4DHzz1o5s08yL3dXAeCx9duUAhT3UE1ZYYgb9F7eo+5PJmgvANF+7WiYEYelazBsO2E4vlkAgAHww/aKwWskkQrE3AT83G55ho+CNbD8+h/5K5p9bZZ8aPTyfne6yCf+4kL3MUP2Af/JP3wJJjkNWirYrEd9ikCZQ53V5zVJX3Dh/MvZwvPyx8iOKEFPDMi3X8TGyPtL4DH/ptk0oKr+PnJy+KiI2I9wGtffXJyYsO2xVJRqhvCyqazcdyRApgEU+dyOrsRaBaj1D9+9eiZ6UbvMeTRmXBhu8NRuVmUTgRAHIUengTl+i8VWJ9+npy4rlOmPXLH6cOqqYCPk5uPXzOoLGtfnyfi+jj588Fyh8MHVjzFmbkdZXTkKYb2G/+RX3M2Ve1vMXqA8MH7Us5ZPgwnxR9hH342EMbk9QXgI/OWo5Kp9ZIVp9cOu0Cfo4uBG/OFk9fduyueKPSNDwFOOv+zpvuL+IDTPNUuokLihiJG2cVOh9EJXu4dYvIw/GgBlfX0wl53hrWyW/22N8Oz9Hs/unvnz+THe7XT7fho+BCx3yndErxx2LOzQhsrPWZucXkDajTeTWfeYg/XNYYePeLiHfEu/248MHmsSEnL5r0tJkX/dbAfr/2IT8NPvbUPozO41bt51iPbdySYKKJcgHxrRhHIExqkt8yFDhMhCQUj9qs/qEJlwXlxYjm/+Ty0xJZTBpOOuOKjmoq9F/XJVMgh+sGKaSt6zRgqSTjhCqkv4OCti1/UPpyY52daZ8+2V9Pdkrirt1Q6jL/cafz8vPn7d1ApDLEIERRRVN3WhOcNPzlnS9EVouPWzoVSjKkNmYoj6B1dXVWQVqX7o8+aL6UtU4fSxvDXb0+65Q14jWCD03ZobkmgA/5MaoHPEhrkEQfaXtYfGDLceNQk5kFI0m/QGcA6iXIRyhjSCHm4RJUONBmH4876joVR8I0p0E69JkoW1OQ0Z2cfAF8XCI2CLf4gQX8+O3cHG2jDxQv6FXzWwBFr3J6L3xwMLKEKflq3gJKWqAI0dyXq3e+8CfNF8uP23mh7QIiKsGHJgznngQf8n0TtypJu0dPYJ3uhQ+V4WPHQ5I9bh9BG6NiAQbNUCYg0WEHRBCFrFItO0YUNTI13UUR0vo1uoqWTWYXtMBsmWZr+xsYbdAELood6Fd75J4rd/RVwMeXi4vPl5Y3jtbdW1H+sG6+2OYn46I3EA0EThkyjog+Ft0eW26CESAIT8sM6z3Dhy6m7Qk+ZOmp8NH7PZktsm25Bx/6U+GjP/Oi8CMqd+BDUR83cUvyiYBLZxKnRWL6IbZTGBSzchpnsY4Z/ThNcGWWvP+aHiVqCK1QZgjwtzJcbFcJ+Q/4x8EJD6MA6saG3jz/olxcXF5eOm6v/OEz+8O+OdG+XvQq4njRSwaMPbSx2/DRS2LodI1/iPjnLZVG3vVadN8/bvShbuFDeXzy0o3MafeqjYmRuSclL+Ne6VQVOstc++iXUBSZ4MN8BFxqVDGFoQHIYZBZxojHxKvKLPbzVIdrZ5JnfpxN41+C0dT7Ds9bExkaEheHlKJkY60LbZIWPL1fGsHI+W+/XaLJcmE53jZ9CVH+GIM9dmJe9Nvf6HjXP/qhx2H46LbZghsyi18kSFgsP3b0wZghy0RaV2Tlcf2aDXyoW/hQbrNOZR6KfQJ84EndAx99lOOJ20fwPuxuVAPy7LFnozZb1WOrnhmWPZv50BXIqwpahtl7t3N1BFnWGOn9zpFoRYMpqK/ryOSgqRib2UkJhtmXV1dXXy+o/MHhh6CfZn+MT2/ssw3xVOOZ7bAVsceP+YPw0YGHaMhQ6WNJM/7zxTtfHz15YeMyWfWfCR/qfaVT1CLVJ+l9EHz0Oi+95OVWhfdxA/syTTlJMv7eWZFiZj9Op45dFzCgLWZBXhFtPUxns0RR3rtqp25p/dEEfUcuky5btsYQQl+FvKB8TnMtFzThgkhl8scGPrj8cfP72WZkTmf1zWzxo4OMBzsv6wB/2dFBlq+59/7ZKsVHTl5Et1Yh+JAeQ1pfwwezTtUdscIdtTGZSOvJk+BD2VEb25ZO5bVmWtcofqRc0MgkipWTFG2dFvC5h1JXlZuONSvhoOtKI0fys6rSNPU9T5OPjK4/Qn/H2k9H7Txq6UdZ6EObmrTDjfsNmh4XTBDb4Me6/BGdfhmto4/z8/P/gARcrH7wyAt/FZfEWv68Z6dxsM85DKUxq3df+8BftFh+4M6LKkYQJuHz4GM7g6Jy7UPekbl4AnzIe+FDI9apvLWkJHh6HHzw81Yx1hJP6zyCpFia+n5d2h4KIDCGQHcijaMkL2DJ+WEtGS+wzg3u3uYb6cIM5PUvhnIB0RXp95Pzm/P//t+oWf24u9Zn479pDS2UX73zwhHs5LFSydvkpQ6V3U5IXlaO2q/NCtqYvPmlLrggPJEP/cWTfId1Sj3mECNzutbnt2mPnHkx6Wm4SRYns8Qvmqoqw6ipIAxazcbFqirLAjP8ae7Yhiw9Rnr+V1tkAuNHfenC9PTUUi+gOHb++8kXUiDz29U96LHs0GOAj1++88LJy5Phg+SCdngYxPsoLekh+JAfkJtSYWOL6CO/DR8JywX1XgcryR/D++hMoUhbKx5LgY/RfEcLfei9BmNlAq+TQFA0LUORPjR8oFxie1vjOVH+OFXPIPnxm3Fu/TY6N7PVzwE+PjZ8iB2t+s+ED2UXPmz5GPiQlfvrCzT+209eevAhK/3ow04BH4+QAxOkU81wYL2GPsxIEpZyVAnEs2ZLa9uxdgfSPiB2kBWx3pHXM0YPNHL90xPii/32O2ofIK2XP9sBPj5641Zdd16emrwAPlStpz1KtQ+9Pxuh7EteVNNQDj7gvcmLsSOKZiXTx8AHGU+qOsui4XA0fUfWUFSUQZVRhy+38nFrHrd1RFRBXu/FH+7NOUKP3/BumxdwePnxY4CPAT6eAx95UUf64ehDUaI98AGLmUMPSIXSfdFHyo1beYe03jwqeSGPOo2eiWGJQffOclYXaY14ShYrnH50Q3kajN2Q10MYN/xx+uXLf7+cqxe68+k6+D7Ax5C8PC95IfjY0R5l+BjtiBXK++DDch39gLS7cn/yssutVx4JH+A5MCyAUEU8KRmsS5rLAaOKnLwIB2Xd0BC6q7+EDvjzGIXGDnkd7LHQubm5OTnn3m7aDvAxlE6fVzoFfIR9oXVZps6LrfRn8mQolN6BD23EdYZDLeV74AOZkrH9PVIbewx8IGvqZjZE/5ckgkghyGSRINbLUNhN4UPHHioTQWTt2u3N7o//YOnC0y/nF18/XV9XPwb4GBq3z2vcYmQu3CWMMHzIOyO9UVLtL50eOsHfm7wgWJBvlU7Vo18YS2wN0LY1Il0SM1NIcDIBxumUhxXzg5dOu3V2ed2VPzbDc6S8fgNZkK/XKH183wsfzBkb4ONjJC+83ICkkp9ikS1sopTtCBv5vNi7DU+mjT1SLgh/cNBr3NJ+x9lQeNz2g43HWmQP6zHwcX1te/30hcofNobn7E9O+P2+6GOAj4+lNqZpVPswH6Oqdcuksu85S9FHPwyWnwQfOHw/+lAoy1K0KEPjVtUk6emk9WEdvy6uEX54kz/6ysnk3GBefLpKf7QDfAzwAcUHzQriemo9JlbfgQ91V2m97M+8kKhd/Hj4UG7BBycvHXwofalTlUbmhl7rK8EHZm9HjrsjPUaz+1+QvZTCUW6Aj48NH3qv86I9FT7knc7L7sxLN7D/6ORF6icv3MlVRPLSr6GoZjJEH68HH5+urhRY44TpOv6Y/AHyOtovF3bzgyxeBvj44LUPpmDRyBw2uq48qfah7E7cFmVv5kVeywU9CT6mO/AhKwI++p1bpo2p8rDVXws+PunuuCddSNofFH74bbtsFwN8fHT46HVeFP3ZpVPp1sC+QpqYT1FaF8lLdgvnItF56R1Hf6RU8rAeBR/Q/rjok9c5ffGdGyvDsP1ffw3wMdDGQHEYk9L6bkvjEcnLAfiQiVHxFJc5mEP2tU6JJSoJm6hdVvlQOn3FdQL4uPp0YYzHO8NzuXN6OltCKP37XtrHAB8fSO9DXmud6k+BD+Z99DovrDZWOsoOgeMpFtmmTErr24nbDj5oZE7uRR+G8jit02E9LvrgdaX3nRtCxB+np81f7Zr28fMOa2w57P+PlLyoQm1MkZ4WfWh3TCp37xinT5ALukVaF3KnzDqVeyNzskWs06Hz8mrhxycKQIwd4yjgxx9RS3XT72uhwlvoMcDHh4k+OrHCOlNV/RGTq/fAh/pi8KHdCx87A/vmUPt4dfj4qn9xesaVmJ3Lsvlff3+/yzod4OOjwYe6nnl5keijq30oz4WP2zMvnZd3Bx+9WocxwMfrrfOTDj8gfbqbvuRIXub3TbwM8PFx4EPZap1KT/K4vQUf5HG707h9Inwou/Ahb+Bj12WOOy9D8vJK8HFO8EH4cWO5kx5+hH9U7fyvO7SPnwN8fLzSKY5KnRcNSjnq4xu3d1mnrwQfPLtLnRe9z5F/9MTtsB4VfYjwwzg5dYXyejc7F2YV0pe/+9BBa4CPj+dxqwiPW7J/fQp8hHfhw3755GVLG9ONHcdrgo9hZO7V4IPiDzJ+0WzHDbb4AShp5vO/l334QKN2gI+PBh+sb+EFFR9cfiJ8bI0aZFYbe/HSqWgRqXfgQ9YJPvRhp79a9HHSdW9PQF7ftl+gPTZr27/+Wix24OPvAT4+HHyoAj4gsSXrz4UP9cXgQ78XPnZYHmSRPSQvrxh9CGmxr1dfmXz6R57/0RlXovzx11+wmWx78NEu2EFugI+PMjIni6cWPrHzUpZcOpXvnXlRWO9DeNw+woIbEujOBC5OpCag6UrHWdeSaVOPcN32OHq4KZ3Kg8rxy+MH4OMCAILZl68j1+tJB+Fi3f41p7WYb6KPtQf2sAb4OK5xG/aFz+XbE7d9i+xHwAf0A22/6FinMllb21QOoejDpDBpcz8bpHXYRPFVH17b+BVaL+fn7Dp3oWD+ZeRMeuT1kLq3wI/FQnRwCT5wmX6eD/t/gI+j4KO4Ax87My9MRI0eDx+0KHnROlVDTrNAG4vB+xj17wTWaVNsHKcG/HgF+AB5Xbr4jBhENTrjyrV20Izw46/F98UaPzYf/mEN8PF01mkvmVmPzD0OPsCA5YF9BWJGKmGHbsHcWotIad3ahY8c8KF2uqRD9vI6ECJAhIyjJtFO95bKH/MOPpC/rCh5GWKPAT4eJ1Z4Gz6U58IHQdJkyhO3muDW6yQnQBO30q5Ce0zwsfaIH6KP14KP8/PfFFUdubvDL1k9/4vaL+vhOfKbHzovA3w8qvYh35ELUp6dvMACzsfErWMxla3r1XokVuiq6nY02HBoYH9kjmS2uhsm9192XVww9VSs3367uL7uhl825Q/Cjw18/FjN23Y+JC8DfDxO76Pn3xK/SOnUtNw4LepZDAdr8NlMFR2YUZhNAR+x42y9caMERg1lHHo2P/2BP/Ya8HF+cnNCLdzzi+sr2/N68BGC/TFvkb6syR9NVVZN2wqpD+Qyfy+xE5Y/+evfy0H/Y4CPffAh9UbYih2l9ac2biUvBw6VeezKckdoU+MinzZN5rnbw6R5ljdVFgcuv0bWsONfLX9h6eTrS8cb17Pd4Zf5QszuL37+bOoSVKCaAGQ1xwzMX/PlX8sFcpq/+L8BP945fOiiSCDiBa3T+9CE3scjagdbi2zARz9pYNL6SO6LDsps1PBI0rozxlls0a5SWdGkrquSVM28XbUTedvZyctl267mmarIb9TpUZY1i6IisrNz2YnKpDKvrNnUjpbemW0Ulhu3dbGe3feJ/YH4g9ADDJC2bepqVtV10/79k2ohczRm2u/AjwVqJH8N8mPvHT5IT11jL9eRxYbRqtD7eCJ8zG4ZNSga+7xoffiQngQfXlFDD69JqCWriANFebOaz5tJr1Oc5qvVfNGmyhuFD0MRAZHJBRzBa9OZ6CvMa96bbdSlLv2ezZtqjR8hlT/alof3CTwYP8AlBH4gpWmXy8V8sfyxEKP8Q/byK8CHKghW6uYnobQuPd5am+Ej7FccVIYPR99JXuIueXnUyJyZFPNlU4Qqu98p1K7143q1amcTaausHkQIR5oqfqvwwbGGM7LoL0DgYdiY0lF1SXUQiby32APr/87+I53M5k1T5dv4Y9YQfrS0GloUfxB+EJr8vZy3PymzEbWPAT7eOXyonQuTbPAnWxix8MD+o9qeveRlBz7IIntW2epdn5fHwQcE2v1svqpjT8CHSpvN8SqARepJ2uYRXR8pTp0F8htlnHb+uRROMV9FpjikQz9hzP3eiiCW0/w9bzflD8zOZWXTbsGD8UPEH7iEGsicSak/V4N28i8AH8LJ1nEs13E8g8/rspBKfhJ85LeSF0Fa3xnYV54CH1BBs+OmLV2ri/MlTrWKetX6O/VRr6pX1dh5q7GHRQGe7oa+43ShGF51xXHHPr+n74zmdn5zemIF7c+/2234weyPRmBHvV4l4wdd0SxWPyGmTIyyAT3eP3zIZAZlj+M4TZIkDIwtfMhPg4867sOHKmZe1F5jR9vQxuTHsUKDqsm3O4zJYtmsbXahwsnL1ewtbzlLt4MMvSGTeCmwbAviwJjEeeYb5OD5vtYJ/G2/ZGiztAg/NuR1ODfUXdgh1ib+oAt1i+rUzwEQfpnoA4mAH6dZ6CfhePRM+CjIJkqXe9fvRh8yVQyfAB+6KVs8MoekhOMPRcQxWVPrqrU9juqA91FIb1bwQ8af70RJls88epl0Ey987ERpHCYUlijvDj5Ov5TUpUWFdIMfGOOf1f3Yo6kJP+AghlUVs2ZIW34V+BByhCZOf4UjpYlnUw9Rfk70gdqH2cMPKZyicbtbO3xK9IHih5cio6JNpvIupI5zkFQVPGB68EE89mwDH/Lbgw9gcxxoWRORCIHmzspZGmb5yJ4R0818f/DhNT8o/Gi23RfUP7JZDz3EqmYFVVBxr7wW+DFfDLDw/nkfBpMzsmkUeWMb2jsmTouTqC5jWknc/7ZdSRQnCX+LY1ykO+Ai2Oh1ncd8Hd+Obzk+M0n/OElcFE2JW5M7R+W7JGl3Q0IrTemO+IZVVBV9E9cmSQaj5ryuM/oFvj1JsySZluCmJuJOWYZ/dAt/SWm4KxWX+HK2/vZ6ix5g4ol3XF9XTceTMJ+FNPXnArbLPEsTy5m5RMx/d/Bh+9/JoOF7F36syx95dRs/qrLIMzTmqjzJylbEH+2AC++edYrAwc4K7L3UdrsGgDSOmzqnVeD/QnwTl7rFlwpcUYibxcW8RNFsNhW/Uoi7A1Ba/tXuOHRVtWjErxfb43fHFWv9vShmM/o3m5VcfaurClEwfqoomaaTGc56FBfTrfwPHKWmLkqxqv6ij/D2S/eZrl99VWXsAxdUWe0KQI7uTABgniqZrosNVxRlFthO5b8/iizgw0p/sL9L209fkL8Ud1+IWYZMDWiZxCklMH8NtI93Dx+amK6fNnlaTHFuHFmWjVrCJKiLMOIwAisM8f/uwpVRjJ0tbuYV4P8E+zHr3z2Kptj1sbhT0N0R4WtJB9j+7u6xN/cUP4RRtH7EzW90TyoKY7q3j3/08GEU+L4fhZ7vB7h24tOj4arJeDzx+YI/4dV9e/3ljr1Ad1STykkJR06xLxnjtGpitF68IA2TWZGniaZWiFFU8711Xm5Oqh8/RPiB7su2/IHhl1vggVVkIco+WfJHkrIyyKBD9v6jD8sybWe2yNIyNx0MYI/p4G5c5y66ibQnadvRrqQ18TcXvPEE5326eUL7c+KP8TWmTGXsjb3N9vFSxKuBx/sVd/I83JhO68Kne3kurvf9W9uZD7fZ5rjfZOKNXbo7Lniu69JBxnQgF7DgubhqzFfjf4f6z+7IgQ64axs2LjuOY8OuVx/ZtoX2L/y/ZVlhPZB/glmmmwoz6mUnSLLpFLlT4ktukJRtaFumF2R+jPgqTVynBnwYxnvTLjTMpv1B/3H4se3e/pHtgY9ZgbJIGOHWFMnNgB+/AnzINE9Str4TBl4YI7iMbVsjqWRTN3RL6wqot2ucmqOZOuDDxuSrII+Y1BHxyedFVTe1U9nQSCrZW4/EypZl2Og2VPlIN4FbVicpKPdLi72fxBbXuDCLcqhmmNrakIGdbdF10VlfXRUK8TLzZnsH4SaNxuN8t1+sf4pYpkt4Iamqa5mm5ZgmkUudrI7HkppMiY5ZTNNENUuwbuR3Z5n9NWwhRoj/OPzYlj9uowfhB7LO/A8KCMM/qIzVYLR/gI/3DR98vkPQ0Aa2F1AtdFYnimjcCl1AnKpp6YqiaZj2UrvFv4xSg6MoBjccUQfUdZXhgzsg2Pj4TdVi+HAlpVv8lxN8rMsuuA/9W9+uquKrptG1UEXGI+r0BfxuMtCU6UoSS7aYv8l9GEXXCDJwEx6Tz9822fOqhqGJFwjPRe2YnQqDFZRQFfor6PrXXRpb56DMIThh/LpZgaslZWQjnUpoHLVAfdUb56717uRJAB8wt21JoBApzPdmjR9ZNqvuwgeVsAhbEH+kgsY+wMd7jz4syXJi1LnQssjzCJSuIsSVYcTCXsSuYADh+ELpTdIy5RpZu8PXqeuzfTewbxm9iVvUMZ2dBqwSY2ROkyz50dvFIJKbiD90Doso9uiCly7aUIQs+zoAAdgoHYL8K41cgwj1TAeTrRF9sw01mOVJknt6TRqwk6iI7aRELdUZvcPoY1T8nBOAkDzypnsL9eSccPFO8oI8TTDbc4YXjMAMwPC+4cNBozZExwO8pTgOJTfMJviU+x1pvc8WVVRpq2JqIqOwy7JwOvon7VvcAbQxij4E6tAi+JjNXIOkz2UxriILtTFqGCOaQFjA/9b3FzmFLAbucVnRDfyWruEMjiRrTGUXd4RQQqOAx3Z9poxBt5DEUCWWGLMNwMdWQEgVt68PLO/mLcorL/pTKM3Su5SL/phJFqMC4Ep5TpGIlwSwq0EpGICsvDdtVttqfy5amr8neVMaapmhmY7qKEpp1R38oC5aV1ydMRkVdRM0cH8OHNT3S1pXdBNVRdQaHegPuyCu29jV7HF76GxNjz+CfI8jC97qRi6IWKfK/VLJfFemjXWXj14I/90oL7IpGJpjnh3RHWk6s6F6Kq1pafTUZZt7zxrrmLyb07mqKu9Rl/XMa5c/5z8hH7ZYAkdE9RQFYjSY8ru1U4KPImcAIV4I0KOd//z758+BgvqOeR8ylxrEMwqKuoqx/1zyuD0EH+yeXZSzh+BDeSH4YFsoDIvMM8uL69JjfLCsWROsx1Y1lHFMKlTy2Z7LOu9oQyrvEj0kM2cj7Ja8sPGN8AN5WIp+fxjnd+CjFBwewg8ITzY8lztnP5gBH963WKHajbvHWeZrlr6Gj8NCIcXd6AM57a5c0AvBh9ASGGfLTIa3SymB1jF2Ta1s/BHoIEEUBRHyqHEQRKrDvBGHpU4VaVivGn1UkBSj4APo8XMJdTGkLyjsxBG6/dm+1guvHOTgXCiAcPwxwMe7nXlRRB2A/FPojG2iMomyAiUvyuHNrUoWum934KNk+Og1Yl8GPizqv8oe4EOKkyKXigIUirE0a6OwRpEOjFNM+noo/xbjAHTTYurTg78zAR753dni2Q3kB38uCD4IPwT5Iw2Iqwdbjf3wga9Fgs4uKU1C0JCij6H48U7hQ+46s8SdUEQUoiEFCHlkTjkse2MVKJ3eSV7YJqr3m+wy9wLRB1oXgI9V7qX5LHezKYTXY2vW+l6TJJAXy5sY87d5OfP9Mp8m4HRaima9N/h4b9FSOKfkpe3cXJY/2++YdMmZahgU98AH80+TKJ3VrfDC/TnUTt918rL52MpCPEiSw4jgQz2UusiSXczyO/AhPG57T4z1PqTnwofGEOJkMGFIIXVoJ8k4qVKnXI3t2nXaWkrAAi9nGCCJo1kaT5C72O/O5Pb9RR8pko8F1U6xgCE/eXQO4YcfjKNbnduO+EHwgR/Q6UvJwaEFfPwY4OO91z7WbE4TF2RTHpNUsqweTnvsfdHHLbHCl4IPok5AKSNd5I4bNPW4LEEeSaXZCmxvx25rPUHSVGWg1wdRkSW+pjDf492FH+8MPipkLB18kPvCTyZ/YKDJD7y42g8fXUO3CMMpGTj8IAH2ofbxbmsfyvacp2zUOP2H4UOTjf3wEe2qVsQvAh/EGDM1N1tlgIS2CasK8JFI1cr16rHXVlKM2kederY5CQEfHhdOB5Oo11ojniGQRk37c2NEScmL4I7VVRJAnKXal7ts6CBFFFL59Gc7/3s+wMcvYhOl8Y7WiTamHxLPQ59R12fb5GUtF1SWd7ROpzulU52t4B4ffdAX0GNXBY3lzMKmhqrYdFwv0qSNw1Xt522GTyxMzYIU3INw2OHSq3eaR1qIvskS2cvPDYCwOwNhw7jYhY9qAx9rBbJpGBcVaQ0N8PHLwIcqPFQehA/0aUx9to0+NkYNAj7knljhjkU24ZMcP4U2hpEzDxFHHpNIUFSVGNvNwlmdpVUc1/UYGmNjkO+rwo/hRRcM+/t1l05GV1KGdstivtzAB7FP55S+1Gm81lhhfZWq46x3lQ+xplFS1AhfBvj4heCDyaaTh+ADNxlKjza2Y9SwCx/UeenDh6I+AT4scU/bVcnVypLGrmqPbWmks08bVVvwzXJt21WUwZny9ZfFb3dJpY9e8EGzt3NOX8q8IkmntVJTVd3OXSj+yOMp6479GODjF4EPsDvlzuflIHxwsWMffBRVJCkHOi/kaPcE+FClzUAIO+LRLL9i4kU0wT9xhL2jYJvq6xRpWK+7NMlrmKy+TV0WGL2di/AD0FFCiLEHHx16bJIXUoXLCtJNHkqnvwp8YAtS9/ZY+Cj3RB+34INd5vrqF0+ceZFUQ0fgYfD4Gfjp+C6G9rmMi/9p1sVi9xTHHDb36ys+61LUgmjKAcgaP6DgAQwhjxdYu2RJPtvqRZa34KOh/wuGj4E29uvAhyYdFX1gYk3qjcztwMcO4Sy6DR9PKp32PS45v9JFRAIVUYCFLTFnliNqSxt29z8QedB7nGHcFqkLRMM28EGpiOCeQtMUhOMtfsxu5y7Cf675e2Cd/krwIbTAj6p93A8f+r2dFyqdPin6IKkP6LDy6JxsdfChUp3Dh2WbZuuwPZAs4q/o2jDq8urhhyWZRkWf658/hOskreUc8DHv4CNNwnSTvqznXdbRhwg+2LVyKJz+SvChHAUfhDPyHvhgk8qeXwkP7Jdbl7mnlk7XamEqlUjZKUoIeUmmas7KcMI32fjPogv6UPt45bYtJqNgbsv1DsINmDXwIvhoyXMOcJGR9OUaPtbTctUWP3hiX6idDqJjvwh8dHta6H3IunyQRT6r9nRe6nCHPamwRba8E94wfMgbb6lHPTuNuOv2CFof5BJrWyPTiRPf0U3HHZFXr0suUvawwV+79oH3IWhXa/hgBAGEkAH233MUPkhXLE6ms7Vdxho9SiEzxolL08yFWPJygI9fpvNC03MasU416fDuVvVyX/JSh6rUE6/QEprLlV4KPvA7NrTQgBT+RPIQdBgOzCVIitj1fFRBoOU+siRpyF6kV/f6VtMlwYfADoo85ou//vqL8pYZ1OtmpCtWkPkOefSwUBBpffSoZJAq/JuKrgN8/EqsU1ZNDwR8yAezHGUPbQzwERk7tFMmrb9Y9CGPpCSPgyTy4yiL3BQfVFjGxSEMetMsSIvEjwIM7gzbW3p1EVepXG3gA9CxWJDzQktqp2mS4aPB3l6ctmwtvzZ2XaCrz/9ezlddyXXAh18FPsgCRe+iD+UAZxn1h+IuaV3Ah7IrFwQ7hxeLPhw5ryA2E4F8Wk4jRDZVhiodxEMh9YFHSuM0fndWse9wEV2vobqpWCCbwnZhLqwaUhIDqrjL0kmMdQ6CBCff6mo6ndbNd9jMzf9argb0+LWSF9G4ZfiQtcMeD/uiD8gF7eoM3eJ9PBc+rFEGanpQVvk0TyZJVuReDiI7iWii0o/kOrC0oXD66suUDDi87IDHXxvwgKRCvYGPmZA3zVLyLi3zNAowW/CdJJKJJMIBzIAOvyDr9GDpFDcY6h7WKamNyZK8MzI3e0H4QMxMp7aoBONoiiQmKTJpmlOJP8/iOAVUhR76tsOs7Wu3XiQ1m69E8AEAaOd/zTuTF/JpmHVTLuxsWzCkCBfzKPCCaU0j+nNq0gwqhb9c8sIRx+Sh0qlGYcremZc66vdjtduN2+eXTpGepBQbZzCVQJicSVkew6g+8zy0YAAkuSwN8PHqnReQBluGj59MNv2Lih4CPRCAEh9sDR8lLHxj2CVDATXwBHhgIehg+Bgij18KPkTZc137kA8rcPS0Tu+rfdxhnT4XPiQbAJFi2BtFfSiOZXnhZijW+UlV5UE6m2ZJJLmSPOzwV44+THferlY/eeIWVQ+yxyb0yAk8mLReC/yo6IbpbJqQTXIw/SY4IiizLofo4+3ChyLKh0YnPsjW7aZ23MQtLCkx9Z6ZB/ufqmKBNkbwoQr4UKhdO0bcGneiIf3Oi7qTNjPrlB1pn9BgRbcFQQcsJaoqlVD7gMwHMMONESX7uAlChQPr49UXXuLJYrVqUfRYUtqCAmm+jjxasosi/MC1oolL0tUQEAqn3wS7bEGVkr8H+HjD0QfNldk8BkIWsB2RW7Yehg91nbyoa7Ppe++K5v4e+IjWB9lM3Jb27jN7Bnwgjhk5hrg0GkmOBi0Al0ulzsiBj73C9rvqMLP/6vZy+QqjLnMumAI7us4KwIMVx9jxBV0XikhyymHK6ZQKphR7dIXWAT7eMHwg3HDgpeTKYsxM4WrFsbQx6H08BB/Ypbp6H3wo98MHpyxsUvnU6KMjnZgYe3H5eDqegwlnSl1iw0ptmHj5J5IXGQMviDwIPIqcOrMF+cbNBf20pfylNxvHJLE1QQRU0/mQu7z52se0KWj8RMXOorvL7MBwFIBo5oPJC0zm1mpjO/BRzHZtojq9D2XnqT8HPoyRro2s/sug0Lw+vo54jE4dwEP6JyZunRqcr79apqcXFHnUDRikpJvOcqdc/4AMOztB8WTcz58oelCR9a92U/kY4OOtwodrZ+1qAT0/mizT4HlP7tPqi8EHP4W90QdG5vQdrNhlnXLvJHty8mLpm+QbgzQjB+kYBNgtibkedncjbHuHHf7KK6bSR1MJ11rMWTct8U/J75qssgEcNM6CEZgF/8NQP5thA07AFeuwY4CPtwsfsuTl9ZLe4WwiDAtwjpZHL5W88BPYBx/FLnyQTVTRr30AMuQkq5+TvBg6w4NlYbBWISTRux4RvpiGYehDAPL6tI8USFAXZFpbUOTR/rWkyRcAxoIEg+ZEYScSO8MHWVGKisdSQEcrmrYDYezNdl5UHcWBqMD71jZlLLmYkByJOdkXKZ1S7UPeH32E/UcReh878CE/Dz4ULm7obKnJFPuRRg8uW7bSoYiiDvv7Vdf5OdyF/655nEVEHgQVzCBbIKDgAZgFD9At/gajjHDirznDyV9/r/liBB+AkwEY3mjtQ+wtKy4bikGm4XEki2MbtzKZWQqjhh34uK20rt1mndIefw580HAtW1+PqMphkv+L+GP5qRsGDwzrg+LY66wzLOn85MuXU3Z9KkSzhbooy5/r+Zft2hrAsAfdcpu1dHtiQI83Ch+d1o+ODeUmFVRZUAYZH7FbO5AZi+hDOdQXlpR81pt54Qk7D8kLgErrIRWxTi3lrtrYczovw/qX4eM0pLIHzd+TUdSP9me37iDIcncNOPBOog+DxHO4Q2EHebOaryBrW/hHiRXKovZx2OcF/8wd0voaPupQ2WGXAT4qW9tRyRzg491HH1kN9CDw+MGgMcDHr5a86IQdph3mNbXP6ryAMlw9PsooSmG5oMMuc3h86x74UHcG+8NstgsfnVTyAB/vFT6AHydljZJHQ1MvcxJbH+Dj14IPcpS2nSirMZiwavIQ1YcxOrnTo8QKZXXyUPJCQcR90Ye2Q1Gj5GUkD/DxS9VOXdIahMhxF3jMB/j4xaIPUxpP0bhdLOrcJ5K37Uh6uSqPVVp/SfiYVbfhY0he3vkKidjxs2W8wJcBPn655EWZLkAbyyMTGQzNV2P6JX8YPnql04eSF3lU9LVODyYv6lA6/UVatufnlMJk7VwonIIPNt+WPgb4+FVmXjQJdtLhyBRNEjYwcPzQOzL6mDwHPpTD8NEZNQzw8Y7ho2Jx5O8/emWPAT5+KdK6ZI4hhg4vWEkdkbGj4tCVx5VOVf/h5AW4tDd5udu4vZW8qNoAH+91WSeAD0VzaACOvV0G+Ph34AM77vnwoRzQ0afb4iRACGEXyRhj7cQUtY+xiVJVdQKxwgckd1TZKGbFPR630q2ROXmvRfZA7npvSyP4UM+Cdg0PA3z8W9GHSvAhP3FJDB+6egA/TLdoVinqHuPlqk4dQc08ZuZlrXWqavfTv+lee+GjZJNK+V74kLnzUhVr8siw3l3yop5lPwb4+HfhQ35e8kLrcOlUHRVo2SbY107VrppU0sHnOCZ1oW8eRx/q/b/AM2vFXaV1Jq33gIFnXsp7PW6H9c7gA+GHLJ2VP9bGtgN8vEv4UBg+7r8dnNNoscpJuE9GzbRa1U5XRX0YPrroYz1+e2/tw9prUsnRh3ILPpS+mKoSD/DxXpdO763bLBZ7g48BPv7R5MV/cvKiyap8qPaBKsdsVaJUOrJprwfNKjKO2bCEGKqiUO0Dsceh2VWM3BZ7TCqLakcu6A58KGveh/woi+xhvY2l0hsdt8vlzxV6tssBPv610qn8/OTlAHxYarVKJLQ8TJ59KVepdsx2ZfEuUTpVDt8b8Qc0cG/DB+t9aHfgQ74z8yIP8CG9T6UPXcoX+Dj/jcH81QAf/yZ8hMYzoo+DyQswowR8yF2rRa9WKVyfjiud0uA9Jy8PpTl7oo8OPu4vnZogkxB8KPKm0DKsdwUfdC4CdCzhb30EfOz+93MAgpeED9t54nIdx2Zqxv1ZarkouAMjuZStAksgWviY0qmqqPerG1JzBbWPcm/t47bS+m7jViQvqjLAh/QO7aGw3Kxe0CeaZYFItANYgksILe7Cxz3ByBpuhqjkifCBjT2uN2rUj18YWWqzg8F/smpiDawxywCba9G6VE7VjzWpBG3Megho9tY+ZnWo75RMGD62x6dnED9XaX1Y/9IyBP67bpTzMCbDCIYjVowfi8V36sdgwPsh/Bjg43nwQSdfhARPXtDvmC/TA2+0LbvVqi3i0HPDpFwsMqQu9jGcU5UklR90mWN62T6TSrBO5V7wgS4tjBp60QfdFGcDfLzf3ottkuOYrHkxvBkWc/osLjn2OCL6GODjpTovuuFCL2H5xEWwv8rut0Miw4KgXLJKfoM7l45kH0Pz5GqmagUdaV05dD9jD3zQzMsO7CjkMmfLO1lPnA2k9Xda+aBZatmwWOwWUOIliEJaAAilMkuGj/n37x0nZEheXg8+EMS77fI54cd8cSD6sJi9Adrpih6jSugq+wjnaCaMKmujhsMwY+/lfdSR0scPwEdZ2dJLGTUM699dLEhNLlGdJrUFUlE8qwAdKxJYb+dD7eOfgA8ZO9mDXmT11FVWVZONDnVuyVjWCpIsiyawcQQFxJI1/Ti5IGXyUO3jXvgo60jva52zx629+6vDyNz7XapmwCFD7ZmG0rmqq4WQ1cuP9gCGDPDxQtGHpjhjivOfmoFKtjs7EH2MRuJO7Fepc6Fz825LDxiIdaxT/VDt497kZUbwsW3xaKw25mi90r36fJPKYf1Ly+y5oJoKowlGoyyNKM0uaiFD9PHPwIeCkVgX8KE8cdExyqltHdjfI9kklSBdtYU3tnNE7sIwgF1NtLEnlU5R+4g0aesU2cGH2iOdagN8vOdFpwZD5tIHUdj1TtZB5qrqOEYUMsDH60cfhmQ+a+YFlYyDtLGRLDu5sCcmXcqmovO+c0RUQ50X/cHax4HGLaKPPuyEOz4v5PA0iBVKv7CU8mgcF3UD+dNl+3MOPaH5zx9CEZW/LCCMOt/CxmPXAB//lFihbaFxK15wet0bQSE7yr0eMBCWGdsuHZQl20cbQ+1D3UFJMmpwdrOjoXT6y3Z1z840QIjtcEeGJZQJQDYN3QVds1y0A3y8bfiAMnLWLuppKlaWpkLd+JgjozkH3sfUfGAmRZPvhY+d6IPgQ96aZ3LpdEhepF+VlcoiDzqEucELKeGRusJw3Urs/J/zBbneLp8cfAzw8U9FH4oKXXXPVqnFJkP51JZIcFQ75si6qiB5AXwcHmjT1T3wQaVT6t1IPYtsJC9qT4N1gA/pV2alSppu2vTxVkBd9BGFMLVshZiDpnQRjRA7dYCPNx59SBJNyW0sE7BTDUU+biYKA/tBTLSxw5tbuw8++qig67uNW5lEUYfGrfTLzvMrbKsuWyR3q8sXFxfOOC0qBhAQy9rFHO4OiyH6eOvwIUv13HdsDN/rpqmi7aLRhlek43inVDqlqvq9DyCTFtms3EcbC/sSy9BFBmnd3i2tDPDxCy9FlnWroyvLhnlBy3KigmdklmwptRhKp289ebHlfNXxQsTcrH7cVhXmDAQfmnQgfcHmV+RZuUfrlODj9sic3YcdaWjc/toTuZwjgxeCnu7FhX5haaZh6xcXLnVkFgtEH+0AH28cPswRJvJaX7OoD6up1CcxjoePLnkxD51jMPWwDz4Qfcg78LHbuJUVjj4G+Phlh2I0IoaY4p3VtAvjQgQgvHQnQRRCTd0BPt66x60WNnXqkk4gZRoOeyscxWdVZCOMSS7IOHia0fT9yUuk9ODDlHcH9hEJGerQuP244YlqeXEOdup8tf6Ppv6XNPZP/3ekstv0svUa4GOzjVQXWqdPF30ypNl0dEhKOSzr+aqjjdVNxWggH6NFJ8mjMK4hVnhImZ0aNPvgo6zjvgyQrEZkE6X2+8ID7+MDwwe944YNCKmblSAlzbkzM6fJ/zVwDPDxkN4HTsyTOraeukyeeTmABpaW0lgu/kEYBN9r/ai3l7hikmyK5OWQsrKyHz5YrFDZNojl2yaVlNkM8PHRF6YtDDdBFEJzdqt2tVgSfCyWLdFCemuAj3vVxlSvqcuny43VVZMe6qRo4TSjNc3zPMvzlHu48hGpy3riVj9kUkm1lL2NW6G0rm1R5g58DJ2Xj7u4FKcbulDVVXQ/guTQquWzHJU2xCDMvB3g4wH4MHXZgRrH4omLksZFqur3724TW9hRrDWdZ0RahZL6MO+HpZJJ6/RwroMHUGb7Z176bNV74GMonX7Y5EURlEOty2RGxiQFwX3JCLIixZD5Yqh9PFj7sHTNbebt6hl6QatDYoUOR4iaRLPUhkNiH0gp9GMKp7Snj4GPvdEHkdZ3jRoYPrQBPoa1KX6QhASTy9Ch4Z6+ZUYCQsQQ7gAfR0zcorM6f3L00S6AH5l6WL3U9DFvUiVqENM7ZR1jcquK0OFBvQ/5ntoHK633H0am0qmtD8nLsKS+zbIhmIySoWuaouuIkrmc2vKU3ZC8PCgXhADhGULrovYhHdAidRwprSm8yfXpnFrEoyMnXujrhKWSZeVQZwe8jz0W2bMq3HkcjWZeduBjKJ1+6AUSGWnRGPigGfLGEkjVqc1n+aQX8nOIPh5MXiDk4z2jcYuXXT3kMqeMyKlhNQee51K6apvwWE9Z9rL0WSpZVQ9EKRjKm83yB6MPmnkpR8bQuB3WEevz5dlnLykqEFMx209A0v5YT/wL+BAi4R+ORvYP08YsTM02SzBAs+VU0uJmUe9qzR0QASIIocbtwdoHKmCG3os+BNNUnsxKtsiWt8fbnbjVqDI7wMew9q8z3Tg7uxzZXkjsVCEYAgiZrw3sWtJz73VmBvh4pZkXU8pXDaKbdJEDTEIKP7QjLUyxyf3OqEE+AB+61iOtr+Gjc5nb9bjt633g7x7gY1j3wcdn/RJyQ2fO2eizS5JD8x8UfgilMnzd7KYBPl4XPhxrtspQLyX4QPOlhiWdeYTeh6h9SKR1qh7ifciH4GPnURg+dh9ggI9h3QMfl58BHvro7IyikM8ujdnNhXgqzGMoeSHBIYQgH20W5p9OXiRoFSZ4lHQ1pVhktsywqxXlmKqKJDovxmM6LzvwoW9hQRHJi9L/u4fOy7Du10ol/DhTz3RdxSWas5sAQkT6QsCxG30M8PE68IEYggIOw8zmU9gkaNUqVo4TO+XGrceNW1k+mrS+U/vYYZ3egY/BqGFYB+BDhfODqZ+JdaHbikGaQxF3ZCh5WewJPgb4eI3aRz2WoHiagRwSzVeBxd5UD9Y+FIaPoMqUh2Ze+qzTHfjoj9yyUYO9+8QH+BjW/mWrjBoUgWjGpTnSRsAO7cJ2gCEe+8gM0cc/AR84/LhdzTwkLyidxvWqcoW7/RGxB9HGAlIbk/RD8LEjlXwLPuR74YOe+pC8DOve6EM3GTw+G/j2GWpD6gVByIVhKAASTmQwsjHAx+vCB2xkRmm7akoIJqdls2pipC7Ww8wPovEgZ0HtY6odrLTeAx8PdV64+TKUTof15KWQmx15ci/nG70Q6LmjobsgBQC4xy9+wc7MPx594B4JSyrgBW4hwjFCKOEd07hFVVQmnxfpkNYpsdv3qY3NiHW6E7REFH3sHmeYeRnWUz/39EkaOdZaO5W0hjD6ge/ADZh0M2Bso5MBPp7auFVlTQuyisSCytRfDyc9DB8aD+zHVDrVDw/H7IWPcpe0rrDW6ZY2NiitD+u54QcFyZYidzMyQqps0c2Rkl7Iaog+ng0fGps1WCPXG3t2Z45tPUw75XlbWSOfF+OJ8BFtBhlYE5XhQ9mFjyF5GZb0tFkNmvfQ1U53056wmx1CkMVq29MFmgzw8UyjBgMG2dKarkWTuQQmD8slc9VTeNzSRlefBB87DjG7Wqf8EAN8DOvpYqmyGH5QLPHhdHzMyED/BsMw7QKudhR9DMnLsz1uUSm1Pcu2bMexDMtxTOOYmbk1fEQklawdqJ2q9ymtM3yoA3wM61WWCg9EzVC6D5jGar+qzDMyrM0pZuoG+Hiuz4uZ1g2rJNeklFxXJD+mSMcmLzzzoh/4hcPwoQzJy7BeYUGjbzPxzUqdcHE35ZHmkn4ItFObdslDdQN8PBM+ZAzLsYhkZ09cs6n10aVT1vt4Qu2j0zqVh9LpsF6pcqrTx1hjBOnCY024stqS4yVdR2aAj+eR1hXYE6diAZRXua8cUTjdNm6jMlNfAj6Gxu2w/tmujOqRmx3OnMt2hVhk1QpySHceRWOGopNfQG1M98jP8akpIF4q7HDl4CuJZq0Ym42rNiHcVo4qbqs8cTslK5n7PW6p9l2WRBtTb8OHrPefJ1zmyttGDUP0MSzpdTozMqU3tsPD/gwbpOq5pIauYISsdYLfu9K6bJJNlPzEpcu2Wab3b++RtK6Umg7pSDaNS/aT1jHAhD2N2gdYp5Z6IP64Hz76hVOWCxrgY1j/2NIpxrYcSR/HRYlOTC/UmIPvvnifGc2d6EORIFY4es4LheTFOmgjaZtCblBXzXIVG4eHWG7DRyYdbNzS9i954la9Uzrtjcxx7WOAj2H9M8tim13LFsJUtuQjCmk45FismWXLDcfsHcMH7eMJJmLVJy7TlpRqemjg1hJ5Cx7IBB4XLct+HJU+KrIasMetfMipASHQ/fCh3YIPZYCPYf0TyYsiJG1kS5a7kS3HSzGpyz4y8LMjxZDl/P1LJWNfT+pg9IwikUNjKQ+UR1D+tEy8kG7dkiy7dZQPh6JogI8pkdbVB+Cj2AsffY9bKR7gY1j/3FIh5K6AHNJxzMR5zHJZckgMxPwK8EEzsV5dzsqnrmo2a7JD5DzJdA1ZNShlkfxstaLWy3G9ly760Prk871+YeWsuKf2sf09eYCPYf0rMGJZokRnaZZBnzOCkIajj/ZX8LiFTdSzTCoXq0yxDsQeSbWxhGlWUFq3tGP0ghg+lCCi0OZgX2c/fHTRxxY+lAE+hvXPgYaqsDuRuZXUlFimQuZ4RHfBC1mufgn4sLzm6X8IvQbL9GARKaNBohWPEs1XNc3cHjV025VOy1RGgKQeuJeiCJ+XfbUPpQ8f5QAfw3obCx9ajNlBfpnm+xdLwS/b2VdvtDFzGz5keeTWq6fXgAkbUvWAXpAZZHmaiZUmls6QrD9MR9OETVTJnRflfi1VPPSs6MGHItTGSO/D6Pu8AD56ckF0dCXJBG1M+YDwQd4X8oCa/97IDJVUGULWp25qxNCILrFD1g3etw4fFF15Tds8Y9WLAy5zNkMF5TYGJ34S+USOdOkR8CEfrn1A0nYffAi9j+3vqUlRlpayo9awZp0qQ/QxrH96iUl/A2KeSdnMBZeM5nWZV7ZYC4a8cfigHeZV4XNw1C1T6/5SqOyMiDxmr3NCQTVRj4YPMTJ3SGpdVXeSF6WvtH6rdNqDD03dKq1/TPiwrGEP/5tSQ4ppi12hOuMwndXU1GXEWHLUsXwP8EHZS4CZF+2Ji2Kwg41bW7KiyI/CMIqiMPDDIKTvwbHwEYuROflAV1jaZZ0K+ChumVSakEqe9bVOwVn5yNEH8kHHUY4y/BvWa/BC1qGzbmDyX5YNZxxlGNRtRRlBKLm/wfrH7eSF3BDqiSo9Y+gFYyn3fgxt2cjmK9Rm58uWXhNALLC1rR8BH/rD8FGVd6OPekdp/Q58KD29jwE+hvUv6A3pmtrVQTRZNw0DinxxVjbtSpQil4t3wfsw/Tp4RhxrHI4+pFFcrUcNVwsgR/tY+NAOJy+qpuywTo9MXhCZqMnHhY8heflXl8HAoRq6vo5DFE3XrZHtuH6cVzRmt1q8xezlFnyoqEw4zxiZgzqKDvhQDyQvWta2dRaN8bo0qyp2fX88dl+u9qHp++CjLNmkUrq3dAr4+NCdl2FJ/7Za2aYKIhvCA15WMAQCBBn7ybRq3iQn9e7A/ogG9p88cYuZlnJ6IAi2pUmzzGCOTU2eqFxNHemYgdtj4YNRY0/yUpbcuJXua9xyYhMPjdthvTkVIpL1dN1xQKJl3XT/fBuJdISQJU/sLn91uSBM2+dkMmdzp8rx2tYH8D6MHzIDiBzEB0MbvqNilFu5oB2bqB1/KUpenJ2iiZpMB9rYsN5eTcQwgR+uOwkigpB14k+euquuMyPKIv9CdeSfFivUtXLFtRHNJhZXuUotyTpOKnkNH7osq4fgQ5vdAx87sADVhZ5UsmLK29rHAB/Demu5zchBDOJN/JAhpN1kMqKfSxO788UH0DrVtWqVQDbFEKFAtUptSZKPoqzj/gwfmnQAPmgwdw98dKXT3kp24IOfzAAfw3pr5nW06AI6urAlsFEH8cF1SDmR6RRCFoKNuvgI8OFI1aLs5MYww9Ku4qP2qgbEIPgg0rp8+Amo98DHLZPKW/BBqf8AH8N6gwCCgZj1oL/LZRDfB20qTmlQFwaYTG4XtZD5r1/7sNNVk9oKt6rG+bxBmZbZJsfDh/JAjRVSybM78HHH4zYu+rUPKCbq2gAfw3qzBrqogZgW6x2iDIIsJiAIyQqqhSw5EFl+AKV1R3LsetXOQk+z/aRarWZQf5QfHpnbJC8V1z6UA8mLqorOy+3ax+7MC0qnUFrvUd0ldVBaH9ZbBhD2k0ERUDNHVAaZ+AJCKAphC6p/Yyrmn05eRpIbEJEOHlH42lYBNz2Mo0unUEI0Dm1v0Cfl2V74iPq/JQv4kHeeejTAx7Ckt9VOl2/tLk1MiamG7XhjPyAAieJkOqvbj2ETBV7aeNaI2f6m8CQUUW1FOrpxW00PMqsVimPug49dR0pq3G5d52D/IA8uc8N6J9EIDDEt27ZFFgMAieMMCLItni77zJBfBz6QhGD3m+MkzYo0GivkCHOEQza03Vjkg5MX5SEv3LKq7ozMAT76KQ8ylaLaLZ3KErNOpQekmIc1rDcBICoGVKmZS70Y9HPjOMmKpmHx5RUDyQZC5vNfxyJbRf3DpCKILNmw9dNRTD3KIlvt4GNKfnPaAdrH/pE5kbxsTSrlZFb1TCr5F0ENHuBjWO9oaRq1c12PsxhASJSus5gFk8oWr00H+cc7L5iqcZ0oLYpIcj2Jyh6WIR1n1CApYSwatwfwBuPOewb2mfexQ0ZP0HkZaQN8DOt9ihvK65Iq5mIc6sUQgMQRl1LbzUTqa0/5//O8D8kIKhh8tlOnaIqJmLZQjzkymiMMH5J0aOZFU+UdqeTeyJzafxzAx8zatYmCd88AH8N6L3QypQMRRTMlg9q5Y66DoJJKDjKdf8ySezK/DHxg6CVC56VpVlMpmy9Ln+ZdZOk4+NDChJKXA6xT6tvu0zpl+Oi50xkKRR+OPsDHsN4ziKwLqZomYpAxN3OjJE5hprsQ4PELlU6xSe1m0SZevsxlZzpf5USos6Rjo49EdF7kA/Ch3AMfYX9S16SZl17nZUhehvWOF3dzR1DLcASCBKikRiS7PGc+yK8DH5KVLlpoqWYtdH9UMFCJ+GEeDR/UeZEPD9zeMmro4OMW61Rh1qktDfAxrHccd7ArGmUwClkWSBYGY4gPMqFSKnVzu9mY5a8TfWjlPEcFJFvlSDOsGvNzyrE2UVQ6rWhgX9YODThre2ofnVFDnzZ2O3kZGrfD+hXm+w2IlHleVweJGEF4JnfxGiMx/zB8GNKoWhGBK0XtA8qn5RzyP6Z8zMtCGuoQK8wpPZEOKq2Xd2deihm0TnvwAY7Y7sgcZoHV+EOLFQ7rV+GD6DqpHIJR5hOAROBYMYK8hovdPz6wj4nbFK3btM2QOhiY3rekozovSHVkuMyh9nGo88JypnvgI+foQ96hje3Ah4KIZvB5GdavMRuD+TqLh3OZlIo6CHox9a+QvFhSsapQ60hWOR4JfpiBKR3hMkfwobFJ5VTaVQ27fS9pL3wUxW7pVL5d+4A8/gf3eRnWL+I1tQEQW8Qg3IsJ4+nyFcQM/2H4kDUlbFe5baXt1JLG5ap2jqp8SIK0waxT6YBJNh5fVvYmLzxxK+0O7Pfhg64akpdh/UJ1VVkhnVRAiEf4kbTvP/owcXu+WtVZsch9KK23CWBBO+64sCVH4zZ7wIxE0dTyGLWxXb0Puk1PpwN8DOvdFz8UVd0iiaLTdL/toQ7yC8AHdrdsFy0pq5FJ1AIsDuOY5IX7J2CcJax1ejBKWdPG7soFqVtYkJm0vqO0jpZyPsDHsH4BQqpCRnX0jV1j8J1UyoL5K7Re/vHSqWpLTlJA7HXeNFANglV258LwsAmopEcUfegHS60YvZ/N7kQfTBtTpVszLz3amIg+htrHsH4NPsi2kIoNgS1jOJNfIPqwcJNLOqdRGPnkpE1jJ/ZxRwY/hFiniiEdghsEb3tqHxWSF7nvMnc7+tBZKnmAj2E9ZVn0idSVf5N1qovGgSLta2TSWJk7X/0TFtn6uA6Mp8OHqZTZgeDAlcIkUHquUTrnGw8fWMcrY3Dt44F3SbZmBZlPqdzs5ZdSEQP78q5UMkqnyo6yUzrMvAzrScuURg4JXv5ry9aEPzVOfqqhSf8WfNB+Gtd5lj99TevsEEy71apUSbEReZmiH0X52MCH/iB8kCSQOcvvwkfJamO3kxd15yWGg8YAH8N6yjIs+nA5/9rjwxzXXofxewQw/in4oH0zbtn77kmL7MAXqebcH3w4xapW14mZij9VO84bUdvAh3p4RFcelSid3oIPrn3sJD134EMaZl6G9cRFn2BXk/41k/FNFk5SqNq/F30g9Jfcev6MKgt+NTv0hxoo4UT9dMUyjSMH5nhg/0H4kKz98HHLZe5W7WOAj2E9awNL0sT/F2sfpmuR+pZmWZqqyP9a8oLCJKigT48+IE2yTJX/b+9NGBM3tqZheWuP2/aV7ehGC5LY+YSQQHkl5eFCEv7/v/rqnBYgMOB9BpPuSWZsAwKDunSWOlXO/uhDGL28iFthA1rRvuOHXPPxXlM4taqRuUMD+4RLcrwbPjYH7aLtmRcNH3q9O3dBOzFNw19Y+4BoXzppW2yJ9CtLp0DRomTPzPcsMl8ohwd6KabRSzM0bfM8y+n/NDA2G6r74cOuPG6tQ9sbtzg0cbsDPqSt4UOvL1pxkbYs7xfGPh6IB8WwY+wkZf88+DCdVjYI37taGBbODnRegCuxMuNkO/A5kdZfU3EilWN7bZF9cHs3sslkGz6yySZpXW6zTnXpVK8P1D7GRfxLX4Cqm/bLpCUcafyy2odLJIm8K967PBzhYONWyC76OnE8GiX4L0li5lxYr4IPYbwIHxJjuWL8PPrIFG3MXBdi2efF0I1bvYyPNGzJMsB0x4i4rV0xtMUnlu2xVoVhfQJMeMwv8aGVsyPEbxd5c9fl+KdFH19FG/PUm73WVlvxyKTwX/O+Inkx3Upp3ZIHBvZNqyZWuIaPSXejwiJZrHD9ul22yNbRh15vzBocnGFpMeTGqbtj29o2XR8bYCqIT6GHuZIDDf7q2TYwe0XWcp7XDr49fNhEOO13EEUEPdjaymoRmkL/51XwUUklm6ZxyIZKQC7oOXxsixUKa0vr1NLwodc79rNj2I24TOn66O3iMHmSjNEksQZc6xOSFJ98Xs2eQynKjouoGU0nOyqP3x0+HHpnfQqt3KiIndquDbwdqL2zdMo2URx9mAekkjEgNBk/gw8emauXpBF9jMf+Rudew4debz7dEcBG8wlPYgTPTxv81Lfh6jzOm+C1C/FxcrwJmOpPsI98b+ftEBFOvNNLXhB/eH656BkyniYuGqxqeYwK/it5H6I3GMcVOWY/fMia1ukSPiqP2w34SNPG5hscxbr2odcbgw8ryIsWbWaxq4RHliK9SbmYN23D+PhpRdfZ7rhclKEhXWMH31IaXjbvniB8QMM1mCyKfFLM8kmeLdeYYxPrVS4vAqxTHFwe7NvKnfBRRR/rX9Ol6COw6rhjafjQ6+0dj3Q+4MaHs+sqaAc9GK6AqMC1U/vjT9hL82IxLULD2Bm0h4bXLfLg1OCDx4kaUa5ca2q/SOlbpv061qktnap0KsUh+BBKLmiz9qE6L7URGoYPs15a0fCh19vjgc5swnzEnQQExCTdrjFYLIrQcdxPeLqw17Gg+1OEjZ0KwQ6dyGkZn1704RAVtTscJdmsNpI3GjKEv/jOkpKxRT4vnLzYhyyyRaV1+hw+rLoWJMNHfdROioGufej1poVTOi37NGbC0/rPiw4NE8VOyHMivzE+oXHLg/k9MDMDDnzEDs9sI2iV+clFH6QVhr9dw4fK6Ro3scv915DWqTlDpdNIRR8HgWYXfIwVad3a17jlF85K6xo+9HpD8tIus+DwfgdbqZwj2zA/gfbBJf5OdbgdZyl0P/FqEqRTHO5bJ1Q6rd5OJCAd513Ai5fWG2ajwwO6gBlrwnR0U03p0ttsdnjmZSNJGoyzSVgHHZPkghKHPiBL7wu9XrWCeD48pLX5k+FDTX0Nyglcs+v2SacCHwg1vKAh3g0fL0YfQF22iXoOH71NXuBgPJlszTgRfNgaPvR6Qy0iRxPkgFXAT4ePBtFSs7KJjWbZJwcfwnp/2kfwQaVTeVDqFGHEOE234WObtL5d+1iOzCWWEjnUS6/XbOZOmRlSHk3yQopF4EKMFpHjnGLywnbYjvkh+LAObW+auK0N7K/gI2OjhpqyegTex4beh5SwA01MDR96vX4zR4uh0Tie2gcVGHGXbjkxyDPbOzX4kKo+YX8IPsTh7V2XC6pFH/2Nj8+M1GBd7YUzfEgNH3q9fo3nbZyNR5S80KkcGHnBuYt9avCB2INkN8S74WNMtY/Dmta74ONZ7WMbPmgRfAgNH3q9egVFcdhj9adHH0yJNMZlxzAaxsnVPvAEnic+UPtQvI+D8GGPd0Yfm7UPCfio1z5o5oXgw1ANX730esVqzyaG4RxP8mLRADDYrXE59DYmRE8FPpgwalof67xYB9XG5L7ah6x9gNulU8cUpoYPvV5vRU0DcNEC2jb2gU7gr0hesLrTxKzH2qcTfbx3WWwThdqHlC/wU+1a52WDdSo3pMVAG6v7vAjifeSpMA5fTvTSa+3hFi+iww6rvwg+WuVkg3+g4WMFHy/4OqAyskvrdLyZvOyGj5GaebH13tDrVSud9o2DYjW/CD68Ijfr57GGD4IPycnLoYlbusnaI5V8ED4EwQeJFQoNH3q9zkxWmBlKlAcd238RfKD14tVd7zR8cB3jRfigT3VX9DFWPi/WIfggrdOE8UdvD71eOM+phmc6edGkVNc8NvgArgX1O2j4MJXLHMOHPBh9uDtsotKUXeacvfAhhaKN6b6tXq85z0nwzvLyPARj/UD68ovgw5oUTaumZqjhw1QW2S9O3LJF9m6XuQ043oIPspdawofUE7d6vbCLGT4aRe6zjtXRJS/joqNLp5tyQRj3fy18PLPIzrK8f7DzYi3hw9TwodfLu5ggw4Z4r3u4U/er4GNSdusyGBo+GD76Cj4OZxfueI9Ftl2P5g7Ah9b7ML5O2w+bjj8GvPf4zhH+a5SyjZ/uGQsFb1ccLMXhJGkWuUe63fKA+xvuGBVzzOWan+FBR5o5A5g5hjRYe0AjeFL2hNC8j/px2ahhPHyRltFA7cO3mKEmFIQYRBvrbZ6m0XjDpJKuJsPReGQctNDV66MraHa73U632+t0O71ev9NsdwL3CCujzDf0X4KPErKiB/t0JgjSYQJNzojOSPPj6GE4zRRynxGFyAfwKJv266NhGj5eBx8EuO4u+KDow6nfD/Cx4fPC8DFRrFOpt7nxReJ+NiyOsZsWMxgpw0oZnsjFwD3CV2rjtXovRh9lEb7Q5m/0k7wo8WecdINPeF0wUp2qw/UOoJuVLQZWTRJYw0cFH5PhYZafpJmXZLQTPjYtsjHz0thIUjV8/JwEBhI7izLutJvNTm84WUybR+keZ3gH58LX8CEPRKs4BZ1WK/ACv2k2nYb8ePLX9IO2ExitoHkodxGAD2EYOvp4Bh/xwQqUgo890ccmfKTpc/igmRep4eMr4w+85zkpj1Mo7htOmBXioGLGL4OPhvOK5KVgbyi5v4zvmkZlKul8Cp3IYoNWMqwzHW//eQr4MHTjdid8mC/Qxtx9tQ+r/ulHKSyyzY2sRw/sG19vKW3LVjElJ0VXlaiTzPCO8P3u9A7TB9fRxwvRqghADPHoLLSND2cvDZ+4pA08ZXC4EAv4MGt8FA0fa/h4qTGyBz421MZM7rzU1MaWA/vctNXw8WU1SY99CxasLxzA9NyPY3F8lepGaxIZB3f7Ru1j7y/g+bbKOSwuvH1GkQeNnqoq43veC7UPHX3sgI+XkgtnkqY7k5cNuipqH5MNnxdRwYeh4eNrZ93jxbxkG3juwHeaR/h+B9kiDF7TeSH4OMRDQuPFIWVwn//7BJ8XG+wDHwdsoIW7PwBxOPrQtY/3wIe1o/bBvI8NwsgQ8OFvw0eemJ9i56PXgdM/n85zurIj/ICzo+J/vz56wSV8rbdtus4u6ya0TVwmhlpcVvFdlBkdYTDhBP7I0LvjnAONN2zCQCkM+3xJD016Za1smrmcU0H4D0/Y63F/lqJX32gP1ImEsysoC/oN1qeVqeqo7huHZ4QkCS14GYlq4WXSGczTeObr5LW8xgZpfdGzdfJSe1mk9WP3h+MYJ6B58PPYw/voi40k/JlRAy6LaU7u5Kato4+vCz7cZjlfxPh4mrjGU2z/FvjgVEBuQIb065NLHsUEwIKwDwPDNj/A5k+5HyXJAN2KUJKKH1o+PgqP/XjYoQ8e5cgwipO40+3jhYWjYrEY9zoAFIdSBKAJOJyWBRFzUL+6RdFawQfm4sWWfYBsvEFND4bMotrdhENO3Qob56FtSlbWcl7BRaXDrO83nvWEHpl7Bh+DdPhi9OHtgY8NLrqIEKPYz7VOXTLa0Z0X48voFEY0L2d9DgSGE77Av+ntth36SJdX6UBt1TXcW9zObE+yNOrnxZDqlUCPZpTnw0Fa5hQ4BMOsKBcZTgp0gMgjjjZdPyvSYVIQDayLm8tFXtCMpSLIymFZDjiOQSCST1PPXMNHJRWzjnzwGiAY+MKS1bIVdNK+F5UOAK+aRxx95b10PMPd6sKkRFoXOnnZCR/2QRU5Z0/nRdattW2CD0tuaMwOk8nI0iMvX7ng0ZGyRavlO1EZW6yaIV/9fluoBjaD9ZKNIGg2/U3WoDUssgFSkbSg9jDgoZ0tIAMVOOmi6IMl34+K6XwQ9mC1DAJKG8R5C71kxJ1+XI6R6bR6+aLo9XgTOD5XUAcz4IfjouybL2JCkRV8WNYmv4ITj1f/PsvYw6Igw/E3YNIU0m44pvVKW5NNFAZ8mKYemduGD7BOhfkC0W8372PSq0cttlJa34BsM07w0oXQsccXLtck1keW53lZztpCEcTfcr40ia46Xa7ZtJwW6/NNUrkgLQtkKYafL6Zt7H0TWz5tIin1OtNFwlYo2SIPm3kUgttdtqggM1gsKG0RBXg/rm0XFJyoyqlHFyvPGpRwwkbSU8wwjdkw1vDhOluv3vdeUQpeRh+Vq6TBLBM6Vavl13MS++VSCprDdl13RI4JPjRp/Rl8cPRx+PjOXvioR3PPXeYAH2QDIYUeevlC+OiibTtOJpMJEoSactcrgxffbGTPViTqfK+4JJcCww7SnBtw7RxggWjHd8MCdDUqbiBJCdOINP3oJuy7qIQtLG5Ih4hXwsGiTFBhQ0ywvJY4BuGH28nLhPdqrfZh1V+9a7+u7r4ukZJuuOLN2Zt9HTvwPRev2thwmzwUmdVTc3Zq0J2X3fBhvjiw/xJ8kFED2rvmpvBtkgI+dPTxdQun+Gg6LXoN7LOQ69RvJH3gQhzYKGNWa3vf4KZOuRj7bOURNqkqGmQlGJgBXcl7mBZpwgUlKhfDZOgEXm86TSjAsIFpJUqlRj8glxSMuPUIqlQbRfpUHgmBH8NiEQeqQLuCD44g1i8gxFN7hxq+m0uVjnGIwDLCQASr3ytYXdncwH3Z2VXS/U23nrxo+NhT+0ArXby5dErwUXen49pHw61baxsUfWi1oK9cSMezOaIOi9ofeX+Z/b9l5i6g86C+LeritCij5FPsHGEqYUrECUOUR1WpM+hNF5AADVB9KZIxbfHhYjo0WNRhspjnDSKEAz2MfFYEHp0FlleJZhAiDMrFNOZKiFuLPiyzXsrvTfJJBo7Ra1dIFA5pyk5W5BsL1RuQwwAIKPS+aiWdjX4xw4dpavj4rM7LpCc27GUGKeBD1r27BWofI6IgCw0fX7VCD7lLwvlKkDUp2Hdd4/VXa5u2r70Ry0tX1v3lB/My80nZxVUCGyFKLb2GMn+NFwtIvHiovhSTDme5i7ynRlF66NWm2MvEqu+U07Fdzes76mQj0OkU08XAo+N4ohKVouRlIxLuQ9nj4Co2vilavgqluzm+qa8yjzzDgTRKMy1ftfLOxtuI0qnQPi97SOuHrF5AwalpnW7QxjaSngFKp+v3m8+CaEQzL0KPzH3dsvvQuomU2F+XoAAbVARv0Rhl/taqdsC87fowWrpYIIJ0qJpAN5mDckb9F4H6p5xMqW1idopFOaQGb5DPqPzSQDISDBezcsiYYA34bmQxrewMweSQjAzjouxhVMdX59Qu+ACHtkn/tfasNs0Zt9v0Ff5qNlG7F0x6D22rGTQCv1pOuKIk4WDNZ8eBSkqbf9wMQzpep9VVnDoNHy/ChzwEHwg5rPEO+KCZF1HvZG2aVBLrlOHD1PDxhUtie0+LptlArAeCJ1/Vbfl6GS7yR06SURJXaxiP4iTp14orOdctDAxDNuhvgecbM5K48E6aQgHURMoyy5sUxvSoExPYHNSEk9kiV/LCybxsBjxXgstLo6GSl15ejvwBOr8NWxFQd8IHtV1eAEOFdWB2VCV6kwKcQJHaZa0BjZIL6B5qaMbZ+UaAWes4DYqzOVyW9eqrho9DE7dyv4TtpkllnTZm1hSxTZROJ5set2rmxdYjc19KWs8X80z1RNFvsMxmvIwTjFc3bmeL2kaYzxdFXOvMIAnpotGKaicVPB30aKd0xgAuYPy6GNHuHlPFg+oESGZ6dEqE+M5q47hDnq5Hp0YgIzJt+g+NYBNzrv2cHmv257O+4QNb9kUfdP06YMFasdyCWrvaMlc9G28VVXnbU+Rbq2HVmSPS4QaNb+jk5RXwYR+AD7qFRuZ2wketdCoFw8fziVvHkHrm5euijzYx1mmfezaxpGQ6oZ7Iq11BaZ5lEA1qq49vO+urNnqzszZdhb2AYEEaeTkd2LzZA8BCExd6Se1bViHNZrBpAass8Rx87Oi3pHQ/dGFSHoURDY4kiBLaK6aJT9+Bf0oN373wQdKth6IpSlVqnSKp+KUKSVx/Y4QFp7mFhozV2HE4WwjHMe0GRTucZpGMb2Br+HidWKF5iHbq1Wyi6p2XDcwRTBsTG5LYMUbmbA0fX7nixXQK0VnT4KlzKykH6KQ03gJAggVEq+VsX0cCwEen0uUa4Crv51P4SLJ4WAwqKZmN9WbzCTfXmsU0M/wk7BIZREjq+NI+RKtmYAx6JErsKpIH0IP4HqxN3J+Sre0++PBYX8w4JBXdqE/eKuqHtANqIHlizQeRa9UZuTM646oMpX+qcuxv5UwaPt4NH86O0inBh9iCD/A+NpXWY564NTV8fF30MQH1ol2d/FYPHVR6u803+CPIyt1+RbtyPKdGq/LG80USUg0iSGnHN5IpaYsgEOmVRZ/GdRFlTCM+MfolAqEo9buzASn5dMHqcIFsk2nRbaZ9Q43LUJbVyUrwPTz0bMDOGBRlu7EPPmjTe/769W0vjPF2uqHpYOgF/CKpfhlJxA/HrifNjmKbOqaav7KeHQhQ43Z6pJ5KGXmAKUIKa3Tp9CX4SBk+rENyY/Z4N3xsXKkkxAoTz6oTmsA6JbFCSxi69vFFi5SCygjlyKDZw3zzohzRjn4DXKPwWNfhkI5t1GlbrgFMKHuIbHpZalGpHDFFQtJ+nSKPDBfJgp+VJcOCNUQeFWdSxouMWOJD5DYOWFrovfbHA6XQQVkK3TRs8JMyfTyK5d7owzSYsr7/9xnmM/zSK24AUZwp3/aEyy3pJTrQ9C33jM09FzPEKiCxlTmgsaHkEFE88XT08SJ8RC/Ch7MHPjZU5SyCj5paBCpYFngfBB9Sw4fx+YO2VEFIMOeyQIeURdZn8BsoOxZvyqqVJrkkQQwf8LQYKGjTeq/vhGGzY1dN8wkmbH3Vvh3ki0mvBwJ7lxsjXnO2mAhmEYEHtphgOmYMnkfUScqcWjayWSzmRb9pVP2V/bZDyqghfN2IA49CSKufx1EKzqv8+A4ZYoZ4AqjE7/j87ZGQC5IaPnZGHy9t7p3Jyxinz0a/N9rgffArVvChpZK/BD5I4WPwbHEpoDtCVz3Kxm0orqQhjZowQyQZd8IYcyvG6yf6qYjYGaaTNGoyxZWrtfg+IV0P0glBWXPQ75rkGGGE8WjQMoLGcNCK03Ea+UhWAFpREvcD43Phg/Ms4TTGXUhFR2X+UfhwvNYElBfUcyakamRr+HgLfIj3wEfHOFQ6Jd6pSl40fHwF34PpNLsoEQgQetm0Fw+zRTAc5os2sUURhsteUfTwA4yO2q9/IrJlQtfFVyOstuC5d3pq2/GILBqQnpDRUFlG6HiUaASqdOsSzx2P9pWAtpQvmB6+BT74YNLzhxRY2cX8w9GH2+JudWeRS2NHo1jDx174EO+Cj8l4c+JWPhvYF6aGj69cdAG2KZCQqnPCsjnE57KDrIgGQVoOhnJSNj1VOvS9MusPGpOiZbzJyGGpj2Fa0OKxlhpk6kfsZ80cCVm1SVX6GjDfS7UyfJYjtp0XPVPfHn3YngzpRRTFh+HDorqucNvlpMEUMg0fr+28SNOQb4cP4n3Upae34GMpF6Th46tcH6t2y8aeAohYxG6gsqaBcoVlFJlXtSz99mwCud8icwz7TW1dnACBRzVO/CUtnx0NPClct/ZRg+op/KrBEVRDVA01Ne8yj0IYWxqEH6x9VKceI5u9GH0UPsSqFD0klSGp4eO18BGLl0qb++Bj816btY+VWKH2efmSpaKOHRxK7FnRW2Reo0Ojbl3FKeMeSrJImkZvPnT8N5BSpVuZxrieMjXghKYKJcADsYml1hA06k91Ek/9S+0ST9l2GxVaAdss4xPhQ3VoTGLTJ0X44ejDbLDSM9k073K50/CxFz4M8UKjbz98iEPwIUWcklGDho+vSVzqwLH80mWBsIQG4WPiZ8SzruT2KLZwXuA0TMquNN5mr+T4LhdZoDTsURlEqKu+6TfUBrZIK1XNN1A65VfiyzzqROO0DgUrsHCzDePTow9kHIEHxdWPJy8sKtLDTpW7BpY1fOyHD+OFaHYvfMiaTgiXTn2x0Voj+DA1fHxN6ZRVtdS2UTMHLAtJPRAnK33XHBehKbLCDzi4hLw5ZIgbMsvN4C0kPmmL1b9mtbEJEMgbExGGy6ENTaUQvVAozonPp4nkZMXj0ZPlS/Y+r3G7Ypf6SWx+GD5UxNScDIiYb7kaPt7AOn0PfExYbcw6UDoVKnnR8PEzF2mmG+EUsyaNcmxCnGPSHXhBMEldZ1BigM0vk+7gGFnAgqQDBMEHoY5ZzyoYcxypBnlxI8cGHOQwn30U0+/jmsaL57Gx4blrErPUVQx2DpOsMIlcjqB2uOfmCzBpHS0X9MznZWjah+Fe7FYbG3c3omeDSOuBsdV54ZeuxYJ+3sJ+CIaYQvP7BcicbajkgNI+mC+G/mTaNPwuvBXab5vI/WmVYIw3AD6aG7WchrkayvdhYeX7agiLmsieT6S4YBhBz9CHMoDpybdMKisCHRh0ikhP1FvQU4hOu/PdyRawNbJ19LFD69Q8FB1QOjtOnmudjgEfxiZtLK3VPjiaJLFCDR8/Namhj6s9xFveichUIR6Q/VswwFx1L8Ie8aJhE93e44MPZjDbMKlsWpsnjDCJTOJVpnVGoPo7olm1eIZpE/lGCEVmeUh3Ylf4YSuJR3KioBJNGGO2J/AHke3IXSaVfcMUGj6eiRVG9JV4M3yA9yE2PINJ69TfzE2HGj6Mn63/wUOo0BtzeOKUBsDo2hr3VAGDCZXu8b1uwbpCdkjSy/UcZCkJQVf+AFVbijB4sEqw1kcwLIoMUoQzgKJ82y/mqbFOj9WYISUATxooohZ5MViqiNSXT/Dhaqnk3dGH9Y7khWZe1oEmyQXhXpthjI4+fgV+KJ0KzxE0t9agOmcYoQBCGhyWCtiPsBbFpxcIK0VTyaiui5oWCQFx64dTY5/EGMEloQkcK5jkcLjJ8qzFkzzeG2IPzPKFpBZCxV94brc6GUsqZxN/Z06YQ3PN0fDxVfBRRR9iCz507eMnL0iH8u4TKszgkoJnNk01VKpUBoVnHCd8CEzvtlmudbVtSTTMCDr9eAJX7SDKMBJL0VSapSxlbBtLcTVpvaWkYzZ70Sghu80kRwuRApqAH4/3D6HbswOZedGsOwZo+FgnL+ITkheufSSNbdqYjj5+eviBZibifLeSwHFN5n5Cvwdig5YnydDNcY4TPvDSklnPqEdHdH6FgwnJEmCrQyhxUcA+BiZUi2nGCgCgzyEQCUzb4t/9tU+XQMJ1kYVGlAMDYF9LsQwkByyAkafmlLdVk3LD1I3bPbWPzy+d6uTl1+xCc0V68oyKqCAYLgTzQG3ueJruMSZdko1i+vT6a6+PXmsXIqpjnHMJ9JVxh2ExHEAgsbKHWWkb2W9oSEO+BGP+EB+IOjl2rGtUEYerOPrP7t+GjppjaJPKXcmL9QmNW8xlT7Yat6z3oeFDrzesfhkTBlj1qAQzvfF0NnSzmGwjymYf2wkiIrklP0IzyRZFs5O3PRhaTdtyf1DkcKVksIg3SCUaPpYW2bFxCLXpcmbvgA/l8yJrx2PaWK1kzi5zWeLpPaHXq1c4H2+onQl1Do4XRTsZBiaJtod5JyBbzPTgDN6L4UcBm++MBFjhcRUcYKNaPEcUsyCroWljz+FDHFLmFmKfy1y2MbBvMXyEdYcHIWJWWtdLr1cvNrkVm8GHD7n3bDgCtaMDIxmyRXRSkl8W4v0dpMF0Go8wDi5aJRSCxP6ciioetpGV3UrWXcPHdvIiDfvtHreAD7ER5THrVNTCD7k0qdTJi16vPd0nRaeuQ6BmUXqzaQYDigClkYIUZAKMoEC25CPt57QsxilmgOxosYhM59BGgbIrKqeBZRq68/Jmj1saAdjZeSGl9QOkddKkqjovpsYPvV633Gg+VBplq9wZwy6jBbxzaS5lMitzyB4HKH1k9kdUZDzUYDOSy5Pj6TRsHNwogLDefMI28lLDx67G7QtqY7s7LwQfYh/rdAUfhoYPvV6/qMVRsx9Tg3IZGU757Fe3GFBrCSFDbBgfGP0D/qCaQbR+mGcb/ku6APEi5ljH0fDxHD6cwxtc7kxeIJUsakMGpmD4qE/c0sicgg+9K/R65fIzElO0NkqnnWJecKQAW4oMKYyUKH30xIsavQcW8CdrUJGlV86TQ4O6fEJD/LGttrKGjy34SCJFTnxr4xbwUWedkkllkjTks8atoWsfehmv193gHkdtP4N2ijbLhDnqQ/LXRR8kyKeF531kbhhG32w84QJH+ocG/VlWpIOQCGe4pxu3u+DDeUmPd7wTPnqboWOUJrU2i1mbuNVLr1efluE0s5FUOJVZngs+F/Z6xOWJbFY2OfWAVRXZYgdvPr7LJHeburUhDe/a2SJvWUZ4YPtBGSRZ9JTejavh4zl8WLs8x2vBG6KPnaXTzdfJ0Yeow4dUyYvUWsl6vXaZTjIbrpWgacYPVtzsvA29NPRYDRuuuWCRGf3Mf2+CFHapW8tGF3lZGGK8f3+S15w/zdBSNB3deXneuFXwcTB4c/eMzEnTNg4N7HPjVvKpoGMQvV4pGtgpKz1FtpVC8MEVDzqLoulixIN/47LoBZO29Q78ULP40XQW+QgrKC+KRDo6NNbvQ2OaZH1tS7NOd/A+IuOlFpgz3g0f26zTzcatUKxTyzA09UOv1wYfmA9OVsR1yAli/iSelxEP3iZkIUkZBDoxo3zgvW8/Qd3DpdzFIF0UgqZxEhw0A20vxo6arBG6cbtz5uWwAZhNw3AvJC/mc96Hgg9Hd170ev1qgKOVl9BLdht0qtEJNZlx38NvIuiwaffLuCzzLqkPvDn8sGk81EPpNWuy2nSvmE3TQyUUoEw2bUPyzFSaABo+3iZWuA8+wDqVtYavuTXzouFDr3cqyMNqO1tVKs0QHlUQFqRQI2wGDvz0QAuJ+iwT9o4ncJm90WV6NPVuOjDvDQ5ur3QWOxUHRQ/s7yatW29PXrZmXp7Dh05e9Hp7aYIN6+LZiDsszvLUcUE/XV3kVMmDKhfvaL2Q7xXb4MFLDqez5TjEUbP3v57BYmx5agpD6NrHLvg4xN47VDrdkbwIXTrV6yNLXeiT+bASLLaU1jpxLhqk6GO7XM0U7CAj3gNPghVRWC81ULR4cYA21i9gHbG6h27c7oQP23hf49Y098GHbtzq9YGVzGMKLRrGL7OdUf/0yjxQgc6z238OfECMFfAh3rtoz2Yj40vh4xCMEwzYO6MPJC81UShLDMaTcVDPXYRNrFMpdOSh15tXXCa/tGbW4BhnMEtbZFFl/Cr4oFgrzEmY653wIVxEH4b/lbQxcWDmhTa/O94DH3btE3aYdbqinbIUFEUfUqOHXu+4/HfzSRj+OvQQDTR5khLMdp/dN39V9IHYv533jQ+4hpk8OPK1UsmH/L9Mb9fELXvc1rIeD/Axshp1lTKeuNV1U73evnwjDOPU/4Xxh2uECSyoQD0RrvXLog9ygAyyqN1592r3slh+odrYUJgH9T5MwMfOzkvf2DDE5trHWs2NAicqnVoaPvQy3sE+he9b4P+y56dhl4b0fTKv9J7vj58WfeDS3i7LsnjnooeWXxh9QKxQHlRah0ePu6/2sTFrt1n7UAP7aZbYxot6InrpZTzzbTB+acHdoQZPo6qCPJ/t/VnwYbksSfLuw83or1i4X6s2dmBgGZhhT8bpTvhoiA2jhnEt+ljxPhwVieil19uWh8GXX6azHXALmZx1XWdXA+gn1j7sZjFfzN65FvNyMf/S2sewrqK0s4Vl7YMPx5Bb8CGfsU5dDR96vaf4YbyPVvp5+AEWQoOaCvJ56ePq9vzcCqf//LPa9v986M/qGFjdc6yr2k6FMtr8I4g0HZrWlyUvk9g6LPqGvsx4B3xkm/VgG8lLNgm3SOspw4eUmvah1ymt8wus8B9ef2H98+G1PkqXjn1eo121imQUv3eNkigffQUvhsTerF7Egj72Ib0g4e0jrdd8NmhgfzzepI2Rx+3I1pGHXqe2rmrw8c+nJC1rIOk+XTw9XdXo3M2s8/4OlBn4ky+ofazhgzovh1+evXfmxdyEjzpp3agssrVOsl4nty7vscIpVRf+5jX74KodpUvHvlynCVbnA6R1Wl9BWl/BRzoU7gtGDe5e+KiVOsQmfBhL+KjrKeul10msa+zwx+D/prQ+Dz5mMzpeh+Dj2lirG7Xz3rv3v29h5mXkiq+Dj4hMRPfucIHCxQGXObEFHxvHEdXMi6XPN71OET5oMYRMZx9LXf7HwDHlA3br8EEbtZ13qHz4rqWiD/Prog+ltG6+OXnhkbkafEiCD383fOjOi14ntW7uz+4fw//7X7X+738fLJ7+9b/1Ivi4vqyF9Yg+3j06aJmu9RWk9SV8KKlkU75PrHCbdbrJMq7gA6GNxg+9Tmndep7XaNb2/ifAx/IQPSrL3lZPRKKvKJ1+IPqggX1TfmHt4+DMy97kBT4vm9z25/CxNGoQGj70OjH4aDT85q7Y4d1rBUC9C2DTbe3JOnnP+Ih621dGH6px+w61MXKZk+Jl+JDGhsasXnp9/3X28HD30Pyn/GdORVPa/dMPLQaQ2Xw2n6N06t817m6OXC5IMHHMIdqYNAz3QPKE9uxu+OjUSyaq9lEjrRPwDZMJiRXallY71eukah9nj4+XQTmdlp+9pn937q8f143bY4ePl11ohb+TtA6fF2HZ6+MNiDa2GTcRad0mCNLBh16ntK5uiTaWF/lysjX/4Fodpyg6FxdPt1ffCj6cgyaV3n6tU/PAxC1KpymPzGnBMb2M0yOtX/x/8f/3+SvmQ38f+BiiMOGIA749SF6SF00qje3oozZxqxU/9Dqx6OM/T4g+4iQZf/JK4iRE9PH7t0leeOL2cHKxL/qwa6Nw26VTKZczL/pk0+vk1uVvTxet4v0yPgfkfXoX59eX3wk+5Au1j8aexq20avBhk8etZ2/BB3dedOyhl3FinRf/4YxKp2va+ocXH6r8++/O2Z1/d/aN4MM2bHlILsjZlbxQ5+UA76PyeWHWqe676HVyjduHh+b/yiXR/P/+72Okj+ogQCJq3D48Pnwf+Ijw78Hj7x7YZ9pYDXWej8xBrJDgQ5h65kWv01o3d2dnD1Abm88q2sdnLDrWHGpjZ1jHz/tYz7wcssi2bAgpAz6U6SgBQX1kroY7Yov3geyFoo+RskrXZ5xexml58ZJY4fzzF8QKxfG7zK1mXhB9HFJah9C64UzS9Bl8cOdlI/pIUfvYECtkpXV+nIYPvTR8nCR8cOlUHBh6AXyMd8DHuCfMWlXDJPioOWJURg0JP05XP/TS8HGC8IHSqRQH4YNJ67ujj/ooi8WlU3tbLihRb7U+4fTS8HGC8DGObXFoex+CD+OZUYOsPUwwbUxptesTTq9ThI9P92n4bvABpXXxQnTg7kpetkunW6xTpnsMAR9Cw4deGj5OFT545uWg0vqe2sd29DEY873W769k+JBr0zC99NLwcVLw8aJNFFVGdjVuCT7kRumUah+Whg+9/gXrp7nMHX3pNELscbj24e5q3CqjBrEFH/aWUQOT1nXbVi8NHycKH0RalwffKHtf9GHIDdrYDrUxfukaPvTS8HGy8HGIdSpU5+U5fIzHW7/UIE3TTUVocwkfWqtQLw0fpwof8oXkxdoJH9A6fQYf/gbwSIIPSl6ElhvTS8PHCcKHKp2+IJW8q/ZBA/vbckFpsGWRDdK6SUCi4UMvDR8nGn0cbNwae3gfRFqvJyrbYoWykkq2ebpXw4deGj5OED64N2K/PfrINnkf1jZ8LMUK2V9Ti53qpeHjFOFjQqT1w/Bh7R7Y79dnWZ7BBy2SSvaE1jrVS8PHycIHSwcdmNgn+NjF++ibtZk5ssgGfKxfKFHKhkppXcceemn4OFn4MA9tcOJ9TCaTXfBR966VkuFjBSfSRlBD0Yet4UMvDR8nW/sYEmV9b+vFxi1iwsNwr5h58Tfe4HXnReOHXho+TrJxG5FF5X6XSvRc4fOSvKg2toM2trLI1vChl4aPU5158Q7PzFlk1LCjcbshlUxK63WtUyKbukQbq55LL700fJxi8iK8F8ZSnN0zLzvgY2PmRdjKqEGDh14aPk62dCoOcU7JCUruH5kzNkfmtpKXoYIPvfTS8HGatQ9OL8yDT7A7edmED2FtTdwq1uk41qGHXho+Tg0+aJANg/pL+Dh4T3uP2tiG0jq0TieTcP0YSnoqlzmh8xe9NHycGHwQDPQG45fgQ8rX6H0wbWwS1Bs2SmndWoqP6aWXho+TSV7IpPJV8CHsvaR1w9xina4fRtaUxDptVBN1euml4ePU4INYp9aB3EIy63QHbYxZp8ZG6RTJi6z1exXr1KtU1/XSS8PHKcGHZdh9go9DA3OUhDi7jRr6GyEFSOvjcWhuygUBPvATW4OHXho+Tg0+bMPrD1is8DAt1N1T+xB1EUKWSg42OOtClU6Fo+FDLw0fpwQfGHcDEDgVfBwsbQpvnMQv8j5U43ZD7sNQ8EFVEA0gemn4OB34MDn+MFltzDn8PhneZGfpdHNkTkUfTk2sUAjWOmWlQl06PY7VyPI8y3L8jX+ycRJ5ho/rg/pgLaGUFtRFweGemeVZ3J5Ps6xtWGKS5YFHEi6Wa26o1BH3UD1CnQ2KSYQfNMA+ZvKhqDT3Tat20fGM6rwSW4J0kp/bJvqQgPG6xU/x/CJnqePSP3xculRZVd+PXYhMW0hKnvG3ba4ISfi5a6/2F3chHUsKDR+vjz6q2gcbNewvfwBmTFZaZydLcwUfE7aJsmpyY1GaKm0g9S19akP2uDWFRo9jWd2inM4Wi2k5rU7WAlqVYSVNu4omLc+T9X67F4T5vOxLLyjmsw6hEG9P29yAgW27Mcte+gQZrunYhCn435FbjTjL5CTYxPZeQ4i06qcWHYifjAHCqiv3W7ZYl+Yl4mmYFuHF2LK69NEhhW0qSLS9gHFy+fSmg8PK5by5eAN+aPhQ8EETt86B6EASrE+ew4dKXuoL8JF6mw/V8HFsq13wKarcFYEh00VJiiweQkVpO7RFzVUIYTomLuMWX6btfDHH5+0Vi3mHkUMYWwK25hJyqvO24VHa2zA8R7jqOiRdabh0WXHt9T1NdeHaVV0X0vJUEmxi+0uTdn31nOurlEeZNyDDsgE/whgkSc/kgwrHc2UVhxjr2Eo9FOiE35aQRfbSpKcCLmFq+HgPfLgHJur5NNkRfVDnxao/TEbbHreWjj6ObrUK4EWv2+v3up3eIMnK+aIcGAFvVsUhXl73TbGMLqh138inZc+w/GJWtiTveNsxhbW+XNBetNbBJ90gXLEMJQAb/AO/+na9lkEFw5Vj10jLHAtIaxVHrIczbdfbOpnNZfg0ns1ia+NqiCPYPLhlETpIx9uIkEx7tFiMbMpc6NcXGj7emLxALsg1DsIHPpTxbviQa7ymidsN0jrcGZbRh/a4PZoVAj6G0sI2dgOK8dPZdJYRejhsT2zy3rJcV+0yHqZkVOHkxbAaCF46hmz4Lz2Pw5ECRHQ5V/EoaPA4CPEaYpOEjPPKxZ2EZVvbbOdq+6vIwGJ8QhBibzXyPG+Vjzh+CjDwRUM9ge0Hy6jGrn4v9Y0tgVSEAJ4hk9k04ZfkmG8o0Wn4WPE+LOclUvlkkr6cvAw24EOoidtJIjV8HNFqongR8Ybmk8Az8nJehoaKGh1vmzAoEBEgf0HpMl9MKXnJp9P2kkXs+I3VlRz70vc3tl8VSTjL5+LwwOUvG3VdB+HU9LYb69KroXKfap7T4WqnqU4kYbtbNRdXqBzLABwO1U9V2ML/WyrqEQph/Oo8dijvEVayWCSWVT2NreHjjfCRjdwXGrfSmmSTXdGH2BIrrMMHv3SKPkwNH0cFH+ViWG1CC5dxmUxnZRdXf2upWIncRTgEBU6DT16HOypU++gjYkHy0paGEzR8b+uUka7nrINRE+CDLe35ABvPrGIEQhTpCGHXOyeCkCGkbW3X4Uf4eLBt+KIqX5heFTn4jc3TteH5wQr27PFiHoPOhN/CUqmK51e27Rbqp16VXKOEygBi46WMptMYv5hqC0kNH2+OPuQh0rogqcE98GEatZFbsZm8oGNj23GaJ5aGj6OCj+kiolYG7UlKF6LFYoazM+gPB03a6fSBBr0o6nCxIhiO0eJN+1bItQ/TQfTRcdsxtX+Tnr3e7p1RxndcRQX9eGAa3SRHe58aex16yHgAhYjhIFwFDUYls9uOJvTowfr0CaOUn6PlK8kZgx8XDrbvh/INfjIeBsAZs4mL4WIxjqIeP0ErohePGzuIWiz+vYZ9HGRID0l6LiFkRI/I8OsGbyNHa/hY1j6gtC7253w2IbKyYNiGj+fJyzjYTl5IaV3DxxHVPsr5dOgreEdUYBtxOUcvxXXyxWKoUovAaKIh06XPLMqpN4MWzaQ1WZR9z0Hto+j0yxl1bBazkUu0DhBH7AQl2NkU7Zy8SdGmZQTFIjf6wKpFD3VTIynoOLMi9XGcllFTlXLxfMOcj7co867NhVW3j2AHT1AuyrSpcpRsMQ1bGZ5ltijLjLY+gqDmZDqfzdBAmucDBDtNvFQ8TblIBeKZYTGjr+doTpMXiWcJtJ1zv4fqD342L1GVc5t41im9sjHYL0RROTr4wG/a+Qh84MOYJMYX0ObQScPnNEDp9HDBCISenXofgA+n/n5DaX3TJkpw7UOZbOuNeyTRR17OIowriIqv5ablIvMDAAAuwhyFOoaMF9OMbo+py1sWAIFyjE2H0KKRl4tkChwoStxWjv0GwU0wxi7F/cpyMc0xSOmDKFLOc2DAgmIWYaa0S3N6RJIvymatOexhn8dIqBZ4NKCq6GG/OEZUEHYUxWI2LyECgWpFY1IWgwwAk9Ody5RAxrMy4As972wKVPPdbkl0FnBaEpxwKWFXQTdScwm7SDCm9QGAOAhQh2pALXrNOEYZ+2j2OscHH7Jhomzdcc13Lvq1ESD4XwQfbJFtH+hYiUPwYW5O3I7TtU2UVDMv1HmxdOP2aFYHeziia5JgrpbfxPdE/JCd6ZT2NW1oH5f+ke3jqkf7vdfqDMY4r2cEH9iAQIo86oW9UTFfTNEkxSkK6FmkvTDsJNiLeWhTJYN26aIYR8NQ+j08ZtINwx5Cj5LgY00vsw3Rx4OyQRh0EKIsCgo2evRF0nKcHsKNRSIE4psJ7rSY9F0nHBAq0R6TMaKgpN9stEaIU1Jcp3vtyXSadrqh79Evlket0G2O6CuPznB69fkibfuGH9MrBfB1+yi2pv1eRxVivKOLPgwraAM+3v2Bo/o8+RLBUIIPZ2nUIA+M1pmSGrfPSOt5vw4620rrpjJqyNAUs6Wh1YKMo+F9TCP1gQW+EQywtdC3RY/UQ1wx5OKh252WSDDQxcAmjnyOEBK6RKNxG1AkUnSZJ9LFNi4ChDFdXPCHIXVerAFuHzV4pyJByAZ8PgRUkAi8hmt4KWUpLbd2PgQGWsJ5k5ivbkQhDprK9GyEVfjZpGCosCh5mWahIbH1ByUiKGKVFMAKjyo4/gio1ECNJMBrjgGODo6B1ylDII81LKdFSE9J8DGnMxnPmiBSaVJcnNAjlnXcxrHBh8dN8w6Vgt+1qGw8iQP/a+DDZvjwDsIHGH/75ILqjzK3tE6NSm3M0PBxVLUP7PlsudBHWYyFQVd8kSxmGRe68NU0w0/aVHnwbHbxQCAyn/eFjRLJdNZ3JRgVqGyhhhChv5si0PCreGIEmAmABWGBjg74n3i02UNS0uYI12kR/DT9+nWnj32OUidtap9CDIkIaVYOVRPVC4vZPAE0iawk/PL5p/l8QbAGDsuCmskuXh8SkhDVEC+ZlXEjUNg3rvDJAGq0KNsBfMyLQJ3FePC8GeCqB/gYqaY1cOj4Oi/Yfq087r17dXuDfPgVZ5LFI3MvRR+S4WNH9LFd+5CstL6pIKTgQ0/MHVXjFpkEagpUVaSTNfX9kK8lnem8aLGKA+U3nmxE0xl+UA1EJTOKAhyPEoGqpue4KD1MaCNyYEKzLY5B4UmfEiBgz4TKm9IDlatMaRsLwNQY8BG469qHpH2e0XkV4AyLimKCLJiiGgxf+hSyo7Gch8J0J+qJuRAyXkyHLkHhbDHweS8HYRjy3B9FHwQOQXMwaDZCAj+8pqLsOGDLIyRaJIAgPJMvcvqFJEcfVFp0q+7MkcGHzdEHKk0fWUP/i+ADUsnj4cHCJu6zv/bh1i8j2wP7mFFQtQ9dOj0m+FgwcOC/GXolqCIkTXApKMjMFzO6THk97F4gisPFVBSzQOvyGihflF0B0nqJa7XjSq5fxLiYm6KLgKPKsnG6o7xJ+pROQUfzMDYjvWy6IC8hk2KRCI2T0Ky1SEO61bDJHNny7bAZyiYqKBOfd07TaHSoWBIY5oRaJSH3lQmPYur5oLZaDBtq0NcjsocD+JjFklzZl9VCnLcDFGA7oKQg9SLum89iFSFqyD2ipCCLSZbnp3N8rFMRoDflG413Lt/3KBjzvgY+BCutiwNBGxXZJLFOd8HHBklvc+ZF0BiSssiWWm/sqGZe0t6gN+j3B4N+DMhYpAb1Wl1jNEMYwDTM+Rg0UzCwFjE19y1idSHpmaIFC/iY0YgMVTcaKHrMSs+nYGEwiAZqodWL3Ug7ddEDd6xh2PSUHZKmcsDT6k2n01ZtYFYgnim7Hm1z26bIwvcoN4kBDh6nGYgYSsqSc4YMeikuhRgUfYCzgpgoT6NOk+hkkqMPIoGRko2JMV+72er3R3lBfRmCNqp99FhCANURACFlVIaKPmx6jOEeY/QB1YLA/sBH7vII8lfBRzYyDkUHPNE0mYxfqn1UUsmbMDFM89SnmNDS8HE80Ue0rEXhwoALOe9exzBR60Cy4mE/T8EnDkwUPIes9oJNJUImrXu+2oBMF5SyhUwkDKj/UYU0NMc7nU8MwplZ2ZE8S0U1lCaxv3Ae+C36pjbZ6gaouxINHuEHEVWJ4Q4EonBb8J8gn3GtN+M6i/IHALU0IpaoHYOzgV5tCUKaS3ssAGl9EfPoW9Noxhn1f/GKEPF06KEERe0qpnaBR9y+AVomRywXZByrXFLlMpeNxMHaBC4VgI9sZ+dl0yL7OWmdWKeulko+Xvjg9smQ6ptonIBRGoFIOJ3mVEsNJkg/fD4zQO32c1RCESBQJOE0mGjuuiE3e4fMnJjxuU+8izliUH8JH9KRrZJrKFX0w/BRO29A3CraFI4It+HalP94OSgZDgUrLjRAGvl8TizTLfhQ6bzbTYjdAdpYMRnw2bmEj5BeFkq7YI9kaaHh4wtNKg+7zFHlYo/S+gbsbJHWjSXr1NHwcazwQcHBhGJ3my77BsKIieQfUB4QTkDr8EgTiDQ1aOehbECbrrfS12lRlUQQyazX7Xbb7U6312s2uxRqLOEDE/EEEF2E4OgiehSKFExMreNJR6xc2pEXWRR9EJdVzbvhBfeD59EHym42pcqtXoyWMzZy3qbcYxV9xIRp2bDXaZqInDR8fCl8yIPwscvnZcKk9XXSI21KXsKt5EXZRElD6M7tMcIHPkB0MVJWrjQcbIciROtk2mZK0HgGYKmqARbt8j5qeMhhhitGQsTUq4j6vFV3DTT4gFULV/Ch2BYD7uDhrz5lSDX4kD7lSsuOqdskEAFXLFmVPlF04XRpCz5iHr/D1zSKJ6MJaKTo7jhiCR/tYj6ddIQbco92Vmj4+Dr4EIeU1nHTHpuoDfgA7yPdUFontQfAx8jk7o3u3B4nfEBfZzH2WHDHRXlyPohm05zFeuj6naObwjrXfjQl+KDCSJkKnxr2+KjH5TQD54JQh8ZnaIbK6HV6FghkS/igegeaMbHSF6NqBeBDGjVZIdw6gh4ZEMw1elkBitQQ6RPYXpakpCoCK72N424nL/gn6LS552zbbjBBf5f6R0v46CMwahuqJRPq5OXr4AOM+IPRASSBLGXBsAM+ZF1tLK03bkksRrJUMjdxdfRxXPCxul6AiDGWFGTgsj+aLiYoNcQcHNhd1DRQUAhoPsacKCKoB+YEVUYcV3VxKMto5hRdGDz9Ar55iXxmXfsg+EiYDOY5YGbJbEYjc/XTEESzvEEDwHjSIRopVkA0s+5Sqxnckoxu3Y4+rNAfgiVCrFce7gOVnmoqS/gATOUkSCIQDHVozk/DxxfBxwtGDZBDtvfCxybrtN64NZY+L1RP18HH8cFHJS48pk4J9TIxGAsh1JKSC5dUKC0PWz1TW92iuRSSC4LeBzNFSKWwmSKSQO/TgtwfaqO4yqDCOiYSvFerfSAj6XH2wj7pA+qTtOqKyhYYJdMhUhDOiLkQE6Ccm3b4nGRWPZ+gz6IP1OoX1BHmNm0DoRIZLDeW8DEEnHiqX9kkDryGj6+Dj4NqY5QV7zRqmDyHj+3aB8OHyWPDeh0VfKzCD8zP5j7XLG1mgzOR1Cb1YSOeIxrpkJI5xlTLKXHQA5p3ncakdRgOafKVIo4Ofph16XjNFIRWtFltdwUf9PFnVDwl2aEuze2jWdOonV0eHlPgMb4ZjKmL7FMQUi7iEBGOjQfMcofoANvw4RlBC1iXdZga0S+JT4oTeZW8gFcbEaHFbOI3nGr4+EL4OExax6ky2e0yZ2x73I7DTfVagg82idK5y7HAB7ZcZKw/Ji8G9bTD9XHoXQxJTmNgkwIYCg8NMG/PqQAAOEBJREFUGrQtxsMYgsoFkzSFiyokKiRZMkzQH6HNS9ceat0Wkxg/Q/sWEShKIxJw0wThiedImjkaqOPhEHP9WcE1CVGTs+iDYFLSEQvGI7w4VEsQPKTRMEOwUgy4H5NNy0iVXB1jPKeZGKiIgNVRpPFwhBsXKJog0MW8Tj7ot6wwo2Zu1I0Sjqim4zaYq9SCaeFgEE12zJw0TXAyo3FURJ0u+tBvGWv/t8OHZBw3ifdxcCLFJPuLXT4v3Litv6GDjdIp35WlkqXmrB9Z9FH/wAc4YTOIp1MxwwZDfF6wGBhRxUQ7nRGdYw4FjQEkO/qUkyzyXs4+D9Qr7Sm1IGvI7AsaoimTFp8nNJrX5afxLdegFIRvzXoFkUBqz48zhnRBSuaMFBm1SjByl07nc6KSoNISBSxySCQ2SXLpEAsZc80FskYTJqzNptPZHGcjKK4KyUCkhdKRMqLAEQaY851TEzqYUheHR8CpEz3l61/ET8NnrjACDR9vhY/4JfggpfV0l1jhFm0sHW/Bh6nh49hWmIzHPVm7zLbSdJy1HCgC2m4DvReeH/M5LIBQzQgkdZLj6OHiMG57jp+ksdFPS4KKIiaJ5QaBjRxkmLBF5pPjZ1QtNYIkTUNQWQMlSNZSgkJpEOJaH2zTFEPWJcKEXsxPjdtbcUY/wSP63CIWcpimPWUwZRn0NU2uQCIRuDUlmaGkx/ezA3DE5iWdh/2MMatApaZHamYREBIXuGY1BW8n9DUIcRBMAqrgETagqaHh423wMQB8HPKg5SbfZKdYIajNNW3cLaMGnnSJk1zDx3Et29iyTWGRvrUOO1HYaX4tYP64gAbqcNAmyrnNDFSbD9AbxFGv5VBfhaZX6aLRGQyHEdHfYeIAvSBSMDYa3Mp1bKuJJusAx7Exnj/LFaKsPOZIgL3di2KWV/WphouncsJOfxgPmp4iuzukaabqcNSx9R2JF0dmUH4vwvP2SC/A55MOeqbxgDIUI+xE8bALuAisAK+XchPps7aJTYFKQC+bzCDcPj03e+Hp5OU98HHYHwcQAUfKPfCxPi0tDR/fYMGVEfvRbdRMUrD1AvBByXppRO3OhprPZHdH2lB0g81dDN/iYXfW0wi5IO5Vxo7KjxJ5haOE0UUFVSa2eBB2SYUZQ6NUaoEsGO60jlphJWUGkjmmOB1D8rVVJ4xNUu4IbJzKbqZiA6y3eINtmq2lFLtP/R7GJbaxEo0qNyLBeHRvha8ARnV9Gg1l+IA7h2xYgcDjLT4NGj5embywD9heqeQDMy9EF9PJy/Etc6tM7nClw2GdQlIp5E2EDUmbEAGHMkOpU5D53qBxkM8UOcA0alYM/J3D2xMyMabBaVJMzA661sOJCozSIc3W1vt61ASmA3vW0hKXG8MECnLpO4f5ba8yvSPnTNLxoP/IY8QiuzsOTQQN77OLbUBOE1IumwI85g+NM7wArzLqpkFWwaGMQY1mV52wpoaPz4YP0P8mO2sfW/BB0Uew4biuS6dHmbtI36pNc7v88SACseyopMl2yh5UawRxgKdykwCGUALhAGIB/hbj8F7ltwAuOuxsPWVc2VCxipCVZQwXGlCQJV467eohwptW3WXOIacGv7KUg8ddyKJknCeZlZ0kxxfWOvFyVJxDhxY1N7oVmcRWJlIsiMbeVYGtXsky5FIONRY3En2jUpdXUZaOPj45eSHCubkTPiYbpHVhbTZudeflWPHD3vp8aQe7KF+mY1YIw1byeKcSszRQ+1ssNbPVRqP/LRISc0hPjD5ph/1trWpShYxZwFuHSS67z0GfY6okl0E0m7Hs97p266hHUCpUzb3Yy4qbmpJhd1pZbX60k+lF+KYq0KJC46i7Q3uA63CQUaT+ic3xkE3gKFUxFo/0PQ69iL/WcBlvGvTiPYtLxfJNqlYaPir4wMyLJfdHbaRRae4zqRT2hljhhlGDho9vtRrlFE3OgqZllS/TZ9VaiPcBDTD0Q9geBgQiYQv7u79d/3b4MAUbRVVqY4fn9a0xw4d8lryIOjBs+bwQEz5eWmTref1jXx7xJCa9BlUAHOtzZamMDlu5zKdFTkXUhvz+1xMdfchK6/RFFwjb3gcfVi0S3p55MSujBlWT0vvz2Bd1aDtV/+RTPy6uiPq9OEmGnaV3to4+vjl8VPll9xXw4dqKNrYJH9s2UVY03mCdymXyopXWv8XJwHVQqgtI8bmlWuGhVulyvdIxfS5KfP/zQcMHj0h3+2pg/2D+ujN5mXD0sTWwvw0fowo+dPHjyBeY5Z4vTE98cujB9UyTWq7Qb6gqZcL5/qeDhg8FHxR9mAeuBjS6LcfZZBd8CE/U3k/Qmrc6L4KiDw5ybL1Bj38/VCot3Ov4vONW43HM4jCrJxIaPr49fFArRZDaGNiD+7VO0SczxT74cI0N+KjTxthGleDD0tHHd1hmQLQvPg/QoP3ECMQmapesMiIkMhyCSA0fpwAfdiVWKA8FKdY++Nh82BbrVHDtI08cXfv4FlxUol6oUOEzwcNcZbJrUHJtQ0cf3x4+KB11mXX6Qo7jyPFksqPz0t8omkj2eTG2pJJh1CCk7rwcD0y4RCY1q7RUOkINoL5jQzcUTR2YQLUMX3VYHMtjM1tZG8gn7roaoyF6KTPGGoeIIiZXYgjOrNrpFdK3roaPo/n9qfYhe8MsEc5L4SfEPZbwwRUTYVYD++vzRMqtkTmKgwk+bEPo6OOIloXZMFDUfUXdFiEhyNvLpYLPA5qptdafN02i0BBLTRBAzdI1CFN8qoIFxmEvNxJBI6K5g1zK2zxrfOnr6OPY4KOaeZGHSqdmLXlZwceEJm6F2Jx5qcGHJVTj1tTJi3FsYy/VPnTV1vftd5gYYsyFLQUVfMAz1qaRFSdUhqReLXlxGTZYat2pkVH3gBtwCfLugYp718W1gDV+LF/Dx3HBR8U6PdB6odoHT9xuwAdm+HsbDV+xSVqngU2pOi+mho+jWT7kMXjFMXQyBl0Mv1mGYfjvqWn0mw4XRdnOmAKGsNXF/Co5YdfgwfaXnRa/0wl8m7HF2n9cfinDeBht9mea8TA+otNIw8dG9HGolWZbO+Aj24IPGpmrwwdVPJTaGMUhuvNiHI1FNqn7LTB/Mmc5r7hLRvbvWEFaok9PNVFidfhGfwz10AJ6Y02W3lgX3qmUAdO6KCuKopwMwhcUAWmuLRwvijysnzUeZJQxkCM1fBwbfIwOb26xHz42cp4t+OAfafg4thUULF5KJ+qUZuSwKSOjlmy8YXA3h58UlSeUDnZCaoQY2YW2x7AWzdBtlBv1Mva/hSJAGho1qWbjmR08HduL2RfClHb9dadHVILX8PG66AN1c0ukO5KXMcGHadZrH9vwYerk5dhWt5jNMkwXYI3Hk5wm2fL+e3ZlAJ+GfNWU9RMypC4mGdQOoY0uNibmfHaPIuXzDMA1SyCBuD/2YDsYVnROjVppbQBBU0jAWxo+vhd8kJ6U3BF9jBk+6o8bbDZuRcU61aVT4+iU1h0i9aE+EfRgLw1xZO/N29KG9cs8C6reStBG4AHddcikxuVsmoXuRg3MaGbIa4aoi3To+Xr+gVzZMyV1hmC9W/g1WINSCOx0deP2uyUviC8cZ/K88zJG52WTLbBFG6Nm4Ak3bm9ubq6vr6/Ob2/Pr4yrq/Pzq6vLy0v6Al8alzdnq3WzWnTbzeXl9XV1R/7JFe59iZ/8tNrHPEKp3FPeXbCSRlTgvp73wZ9lC+3+EhIeuSH5kQGcV7C7kebiS6iZTnv1bAT3GCE2aQsSIPJQIBk3zHVnxuZJOroJooX2aiamvyA/GpZT5b4OUC9xpKfh44hsomwSyGafl0Met2iZ1Ubm6vBRl0q2tmZeWAouirPUeKHT/03R4+zu8f7+/vzi4uLp9ur86eni6ccVMOHJox8Yl2cPat3hzwMw5OHh8eHuzru4O7undX379HR7fnZ2Tv9eXeInPw0+4NZmVnEleiYinZbz1huSF1s6lImwfAdqHzhzSAAsn5ZD16HmqiAb3KTO/kEzBfZMiUfBhOnD8roMzdrZRZmMLdUp4pEsIlVbzSYcGMaeI4SyAUDuQj66uvZxbPDRn8QvSuuCtL6jcUu0sZpRw/bIHJdDRnkqzVMceblkFLi8vWD8OD/Hf9eXv/0OGMFyH+4r9Hh8xH+IP85vgSBnuLd/dsPwcXVL6IFFMHJNP/lZyctsPvRtZyV/DC/pRe8NrFPcs0tNG7hCTjPF68BZtCDrSYN5ZM64nKeyRvAw8QC6GZYNuG8ACmJ7gxeiMAGuCnHUBWfE476vmbBxbqW4KtOFstJ0NXwczztg0cQtoo9DA/t8mu2gjSmXuXXp9Bl8SK595CmFp/LkWOvY8QQdT8hNEHic39/fPPoIL+483/fu7gg3Vuv+/r+4Z3DBSEPr/IwjkpszynAoofm50QeZ0EKalLTFMX0C+Cjbr++8UDHTjaNoGE1m09yjAoplOL1yWoA3xkRWONUu6qaxcISMF7OM/F/Yit3b9HIj4weY6CIZIrunPHYp6yWXp5KKNJaCjJAjGugMmRo+jOMa2Kfah9w/cQv4EGI367RXr5xK8iGrl07JWpnVxmxxUA3x28IHwYGF5OTsnODjEdjhBxRw+EHY7HajaMRr0O02/UdgC9KUq+t7/xzxiY27nV1z/MIVEePn1T64dGpVbE4C/3gK27fXs8aoGOFWYcs8cxmIQAYFA41DDUQXBqobcX3iwbCzchYzsywI2JNK+rWhF6FMLhHNzKds9xYoOWay0iWzKgpg+tMZ3CWPSSZEw4fJA/uD7MXkxZR7eB9i47I02CWVPEloqOrUYg8kL9ecptxRhsI5zC2+9x4egmY3+gPrz9VfvAbdJuKQgGKR6wu+o6qBUNhxaXC19WfBB6IPknARFg++wkp6kQZv2DYO7XcYycGMepFVcaVkQzrfIhX3IEIDt1efVIExLsqgiG867VZIbnBhrYYhyPxFWWxHUUq226ytDTxLYK3LAzk4Op4rbxyVbIyGD0tpnQI+pBDGW0un2WTc20CFbaV1nnkZAT6MU2SNIYi4vTLOGD4ergEfT45z9xh0R4QaWPxXbf3xx4ijEMAH487t5RI+7q8vUTq5/Un40Smm08haCkhazQTq6m3/9d6ulcUSRR+wpTZVC4UFXdChDbygjYbuLK2xTskDCugQNocT4EoxGbKxpbmGI2F0c3hjt3EWgm2KomwvxIidDarIlIywq4wLAY2n4cM4qtEpyTZRI2ghW+Lt8EGkdWOvUYOwcYFTrNMDE1LfFz4uLmjrn51RoYNqos7jYxV3/FkPOzYWEOTxgRstt0/U5r1WCczlDTo3Vz+tdLpII/KFRflimOZz7mj4bztvPLoegBiamZJsYqRQjktOmhOto9yQrMQdOsWi7CdEOcWt06ylbNdXtQ8TzZ/CVd7YMp8hpjGJGGLhtWXcdpFdsOu7ZHln6c7LEcEHPiOmjYnD0QfUxp7DB0bm+rJeCt+OPgSPzOWpOEn4uOJ6B7VQzlWPVgUeS5zod5tYYYi/uuts5k8AiI9kB+sHtWzRs2UAuUH/5fyn8T5w0s+q3sminOZNYdb4WQgGPJvNadWCqa20dn6AMTY6x5UewwlOD0QZM8BR2q5Hm3hkbzqdweO+zAldQC8LK5+3aoXFFPlUtQbltOyoruCQey/kNJUCSEKqsB5P+KHhw6W3oMO1j8Pb23FrtY+lXNBESSXLvaR1nAM2RR/iJH1eQPtA8RP4ce5dADvC7go5MMW6arpQL4a6MKiIrCMQvvne407MxX+vGT7Q+P1ptY/qLCXixgwtkchmG+NVwbsxyLI8z+qrvevjU/DBSkAgJjP3NCtKGqnJB3UXOUS4ABXMuiDKMZspVUfFhhhmF4hiLOHDgN1Mn69tVruclTGdYiHikJgudp7uvBxV29Zw0HmJxUFQB1nQ3AEfLBdU+zRNK3pmkb02ajg5qWSEHHfnoIr97j2dBX5zpJKWPwbN4PGBuWT3FamMCx1nZyiL9Kv7jHCfx/vLqpV7pXKg8/OfVfvA9gbOT8bopk2QKpTF0OMGx3r0kc/iajHQdHY1div4oDkUk3zvcZfQDjpJPpsWg3qFze3RNksoOfEtfwL86NQntSWeLw+9arVAbx/yCWMaWTnPqdsyWMzKduVKqeHjeAqngI9OP4vNjWR0R+3DSHfAh4o+NuWCdplUKqV1cYLwobDBf/S7XC79449u8ADyh/X7f1Ad/XHJ6+aG7okYBBFHiPyGAaQfPIZo9CpouWb4OLv5adFHGZluQ+FB2MfFvmjK+siJ10eSgfhDLf6ibeyPPlylgMhBSIO6uKDBlxv0QbuLObm8U31HN8frnNemFktZ5kW18nI2T2w15x/N52UH7g6qx+Mbbyjwavj4CYVTmnkAfFgHtZJNho9nWqc8cWvVs9wt3oeoaGPeSWqdEigw5fTyMRyotKTbDB4aDY/iiR+Ky64qo/fghvB971SBhLswQVDhz9PPhY82j8whr7RcGra3+xD+GGxe1WVgritanl1xM/ZHH8LhS4xYfejUaKk5VFod1ERGJGpmuGCYZOTDLWq3p8yAX0U7i2mqbLx9DOlPERoHOY2/WI4hpCatG8fE+sDV6FXwsUtpPdt0mRMmRR+bpHUzPln4OL91zs68AFFFc1SBh6p2PNyBTXpz9bRszqJTa9wqxmkDdA+KVP7gQAUsEMKPp8ufmryERcmsU/54ACAWqBaJ5Xi18MNdgsZSvscIzf3Rh0URR0iXDce3mTAaYPp2UBvAN6lxG1EB1iUtZYolRO0qBnr6tEjSaiVJmgz4FMMjUx7q7YMA0qziWV06Parah9F6TfIidsPHRu1Dbtc+5EknL1e3mFXhhgv3VEbdR0QRVb2UJuXOnij8oNbs9eUPleWcn/M4TBAxgBALJLhbwsfPK52W5XyIT8MnYQ2wTsVkNk+3lNgDmmJYljJdVvuxDyUv4H2laV8xvEzUN8o1QnF82kCzuGuE9ISe4Y8AH17N3U4OF/PJ+nvh2NQZtplsikZNn/hpY6cymtKl02OSzEVg+VLpVKjG7ds7L2bdpPLkSqdMWn94aPYZPQbB4/2P34kC1kBcQuNxjTM1n09T+VT3eDhzXZXKgB/C4QoKIP7dE4co12e3P6txG6K2EKlOGPu+Ocl0kdaFNZDPjtP1SsYIDMJdvL8KPth7YcLj9KRxbBJrnfMjY925RfYRsyQzGegiV5n4G/ZiOJCsqY2BFC9oVsJyQFxfxPTXgOamPHFEk9ug6fxnAz7++dAfxo25SuG6lz9rguFD8Mn5Ze+lxq1J83Tp5GWL7H3wcTKNW/5Uz89JwOOSerYX/kPQV4kLkODm/OryN+e/55y13FRyH7e3t7Z1Rvx0mtu/vucBumW+M0K6E1wQehg/j3XaBAFjaNU+uDFIoqasxYwu+BbTVS1iNufOy/OY1MKsXQaZIaqh+cCgvKK0o5kHumh3dRJAyKOBkbkJhROBweBSxo36DE2nnE4DS8n9iyakZcCCRSOP7p0s5vkAIUjDP7rLx+Xlb+F0Pl+hxwfXfP43/fl7Nvu7QxHr5dEPzHHjVkUf5gGjBhKGGI+TQCxFB5fwgdLphkD7llyQaQkzTin6sE9BLogw4/ry6hxdlDuOIoJbzlz+ZBhAdKH2vxIOglzQWh8Ij7y5Bp6wUBBODYBIEP0/JDCjwPeJu3r19GRf/TSxwsU0qvfbMV4/2dCc9KNVG2S5OjuCRxNJSC54IJ/EfabIMjyCoYCSjaIpaCoPZ4NHd6An7RAc4GmiRa0ywvFGI8PAC3jzPKufMAlEtWgRmGAOF7O4kyOMPhk+asHHh+Fjidd/dy6PHz1W8NGn6MM6CB+2PR6nO+Gj7o1LRg01urLgcU4amTsJ+CBxMeaYUhNWzcoGj1z3GDXPL397fLh5MXS5NEhhzLlE4PKIsAXAE/kP9j33ac5/1u/hcudFrPBAkAqguU5OUJXwOi2my/IKWs1WZ0fuIuwYNFKap0VtA82RKfFC8UmHRoS52YSzDNTH8oFLbNEUKNCjRMcbFIQGmxP7EcAH5BPSZ49QZY3ZJwrAZENnqCSK7MAJj08t6u4h/F+19wEff39wzSsQ+uuvf7pnP68R98HSqf0yfCDLcRRpfRd81EopETJlT6xrJnIJH9YpwMc5ZSxIM85U9HFtcA2DYo+HuwYiiutXwcftuST4AH4MuH6KGgkO5l3c/ixaf4fqmrVkhUZXwOvY+vjXsyWeb+wRYo+RWKjiKBo40BCDmGmr3eykM8QPTeHZfjAAJz4hSprfI7Ja0m304gK0j56UplGjH1HpZAYHh7CfltRr8Tll9uFWR5HMbF6ExvGRjlEfb/5vCR5IPT6MH3MOYf76558uNfrPvgV8mAQfq679zihFUvSxAz7QuN2QGfKicZr49gbwxEvS+gnAxxlnL1zUoCzkJgg49gDLtOESBrwSPq4uuQTyyA0Y4AfqqmCn3no/0ahhWPs8iGM6TcLV07uWYz8zs7V98Tx4JdypjoPxyJTn4XKyapiVlXT7AMXAlPIQm0byZ2VZULRfDOryIlwOaUI1APRX9JSns6JHsVBAmQyOArRjyXXr+OBDRR+ADt79C2z8D/xZLCMQij7uqHP3LTovkmof1qHGCHIQS+6MPrLeBl3EBnykgdzo2ayMGqyTgA+uftyqSbdHf0TwET4qUcLXwgc0ChV+PATEIEPsQgT2p9vbnxStQuq8iDaLIcheuptWKw3fW47Mefs8YLy4LCdepc2BUmhczAsaqkVfJUAKQ/sficpsWJFF+xAEwm1lkfe2ohnIJxudtJyrSb7xgOirnnIIAVsNYzRAI9s7uuQFs9Yona6Ch78+uGpBSJcC3JtvAR8V6/QAfEja/qpxa242btkmytxHWudh/sqo4RQEP25IJJ201dFaeTq/rtqvqJrSwO3di2KDSkydhD2ezEsimnL/5U+KXh4fL5/cn5bshlBTdN0VymOi1jPb/qojSj619VjRVFNPwXMvOCNoBoZvcv+X8pdwOAHDfTKCDUNz2QIOvJAjjICCU8Sr+XgQAE3C2vSK55FgkNdNcGuW4sESaEPRDoJXCT5rEDQN//gad9DFRun077+nan0afPw9/btzhYMb3wI+jHZv8sLIHCWiija2Az7qCu2bnRdW9Cf4sAg+ToD3wfgBmKDO7Pm9Kpt2HwKKQyBE+N+r18LH7ZNlUt83fGAA6vr3j1fnjZ9XK5NbmaTV3DQLpCE3zO0vaWMAip1sC89dAZAgr0pM0VDUAb4GKQQ1TOFWNK+g0jsWNDJnkK6HW3sF0lvNwgWkIsQnVwhjQ+oIk/ihaR/ZsJz6OH9cX/8elAo6qrDhQ+sbwoeo4MPYHH0znjtF7YAPYp3KDTe6LdYpjYHHaZ6QVqr4/vCBvX97DpV0Egt7wgAthQ5REFwQlePGe7F3crnMXp7IGObK+M/vl4HPENR89C+vGmc3hl7f6Gz48ePHU1Aq4KD66TIMeef6W7VwFHz8RO3KD5VOSSqZjBrEJoHjmaiQmHBaUtUwNiZuaxe1LZc5WpCzSp3NUv631Ta9xM4nkwVSTX94pOn7PwIQN6jsQWz021fCBy2cHuf/fXL8JpVPR4Af907Dx7daV/99evqdkpdq3/8z+xh8zFb8j7//7kJ77sn4FkNzUFoHfByaaUMBS8jJJH0JPsDx2ZILwtwVT9ya1gmwTi857KAOy+8gqz82ibbR9Z3Au1MByYvMDQUfV+QIQwBC4srVwEz38cFGN0fvyW+00L8/s8Npnfj1Mdp6bXXvvkXpVK6U1g9aZBODYzJ+ET4Ubcyv5dD4H7yPUeU0Znz7GRcFH4/XF0/cdf0zeny8wdg9e7ecvdhpq+ADAMI+ljjYIw/cce/3TqOH8c3E5sDN2ISPT1vfpHGrPG5fgg+qasjx6+AjrcFHg5t7yTjmGrp1GvBh0QD+xT2CD+q6PJC7C5lSPp3fvJx8rAehCEQIPoAf3H1B+HFzrbfkd5N7cZG81GqnH17LMkj31oH69neBj0n8Aq+L4SPZCR/mplFDmjZqJHbozFHnBaaoJ2D0cs/wQRTz+98eOWiI/Aaw5IZ1PdDQvXzd0N1lhSK3F7ePjxjZVeHHw72Gj++VvEAACqXTL1kd0oI4/y7Ji6p9mO+KPp7BR71DL5a8j1NgnSr4oOwFoBFyx4TJYr+T09zZK0wmqRd3uV43xFZHFSVg7vqjho/vtagG/uQXX7HKFtkeX32X0qlKXg6MzMn9tY+azJBQ8FEXbljWPowTYJ0i0Kjg41FxPobo2N5xx4WNon5cvXjCXTF8UKCCPzcwfLmgKgoda+T/NI9bvT7Jp+PHj9+/Cj7+85+fZvtjfLRxSx639sHS6W74mGzBh5Q8cSs3noJNKr9/6KGiD2CFQ3GG/0gFC7DNgzP86PqeWKdXL37eV5vhB8hmhD2PviqjPF5r+PhW6z9gnYI29umZy7ScdkBtvvoOnFNQAQEfiXGA9oFxKOGJdKfaWF/URQ5FtIP3wcnLKUQflwQf9t0Ngo+HJg2rPJ7d3dwgS728pPHqy6vXaw7xOmOl5av7R+aOdR+/QbSqV22BdfqfinX62avzykqa8WuNGph32lHwIQ9Zqls7ldYned+odWQpedlgnQrTYrkguRyd+ObwcYnU5Y46MA+04fuPxgc7f4hYnq5YuhDZy6Opd+T3go/Lyx9gnX4BekAu6PI7yAXxJArDxyGLbEaWnVLJeb8eVojnpHUhFHyI04GPc7gwBKrZ+lH4OEPz9hZgxHP/GJvTW/KbwQeNzM0+exFp/TuojQmlN9ah2od5gPVBg49iv1HDOmzZYdTAtQ9hyFOAj5tLkMPObs+Z9PEnBvU/drwbho8nDH4/Rjz4oknr3xE+Ph0//p793b38FoUwU8EH8T7EYZNKe7zHZc7dYp3Wah+WhKq2Uhs7BZ8XwAcpqMN8kjljkf9x+KDZXWgq8+Q/Wrd6S36nJdmoYb6Yf/7qfocRD1GbeTnIOoXuizveo7Tu7VdaJ8wwY/a4NU8APkArPb9S8KFqnQ+fAh8YfuHaKQjwekt+pyVuDDucLb5idY1vEIlKQZmH1Yte4H0APlxn/AqjBsnwsQFDVfRxIvBxdXmPTu39Y8Rt27MPw8c1mc89XXA0g7kXvSW/mXS2Hc6/Bj5Io//oUxcSdjEchg/r8P5eap0+d5mrRy0mw8cKUGxyKhsybewUJm5RpIBCISjqUPpArcJvfBQ+zu5X8ME0Eg0f3w0+rC9xmfvre8AHbXBLsFihWfll715w97EggqzSkobgNopr9KC03rdEzUvZiFIil0mTKyk0rm8ZcZrGRig39e++5+lyV8HHPdPM/Zf0PV4RzVyfs3cli65r+NDw8a3gw2HEgM+LEis0DxWJDBJB9v1KIVtYhjJqgMDuWsNWiuGKNibZA9Hw3Rj2dPxk314uCPBxDqOGp1ueUhk9Xjx9uBR7eU7Duhf3fv8TGsF6afj4mctlXDA7LFZ4CD5ADglgdroUtlVSmc1Olo77bj0nCRB9JKHhWZVOMh4XQi4oWY3vf3f4uAXnAzoPTa50fhQ+DMDHFSmPPSkamoYP47uVTr8MPr5D6RQhByUizRejjwAgkCH8iFtVXdSWvj9K8ixLoma4iioGaQraWBK3Q5cnYKxGECZpQvfqhkfkbWy8m+b1dLuCj8HjR5MXnCKXOChU7641fHxH+Fg2bj/7DzVuv8WyJaoUrcrnRRxgtxNUAAbcinwO98CANPkzFF3X8kBUDMEcTLqEDzzQz9CemWRx4JGQ/3eHj1s0be9vHhg+uo8ftbTGBN3l5d3d9f3vVwwfAw0f32rh4/8PWWR/Ce/jO4AHZRhWgwb2yfx8L3xAPn8MX9JFkalpWhfK+YY3JvPRaWoEKwn1bl4s5rNZvkxeAvgbZiW1tlJpnII6nXVBdtYPVazw0QH7K9hFXZLd5e/XVTyjt+S3go+Kdfrpi1inx89ZV/Ah3S5HH87BzmoKD8FpPlYSYhSBeM0UnsiLIq7dqZvkiOWKfFU6BYLALn0+zYfklOqeBnw8ruDj+qOCEdAoY7Pt64aGj+8YfVwi+vh7/gV/upfG5beofRhU+6DGrbO/cYv0pD8op4t4aFgwJzOZ6m5FCfwIxz2yJKtWs5fD7zMZLhu3CD+cXjFf5HHPPoHTBaXTi4tLFX0wx/z++lqplhqX75mQxLgtCWaS+KGv4UPXPo6+9sFbX1SGXZ4yFqTOC/dGFPFDVCO0skb0ArW92YF76aDl8OwK3VN67eFiukha3rr40WylsDMe9NdP6NkB/FOLDpsMSmU7+DzKkWQyY5pSWZoZNVqbmtejOsqzx1V3hQa8+kqoagv+tkV1u1ASics78D3wFNWvWSkU8IGhLCCluXPYWIqaVPLFBSUb100e16d9r/xujevrSqDBstnS0eTn5Go0vc1uwH0uG2+VZfH7S9nfFamzP9yxXeVnCADo9Svg4ws6L/C4PVL4wGYwScvYQhvVYf6osLtRFjmBVC6StJWBHXIl0CFoUwovgHN6J6hplBnBALJIQ5vqr9UyrARiSW1ZVzNz82KaBQ2eqVnCx+r+Wx+GrFwR1SZHDEPPTJCiflKBAOMCA8tyZ6/QgfRF5PqOFFxJo+6OKZbPr+6C+1KkJNZghOek55JSPSPdrNBHVGpjFC38zhNzj7/DXI7lC/8LNhkikd/Y6tVY8uiEcARTYnz2kDYJSDB7iHIy2tlAEAc2Q6THDy7JYxXP6C2p4eOI4UOwYUKzE0XdftRrBtxDER1KXhriWVSw/t7Bo7KiCCvXa1BI8a/bgyrjoP4Azx7meR5ueCsb47yYVLGEVAGCrG1mUY84hKj/RDxbKwQQCt62oxXjuTOvUQVT4pWU+UOHvCSwIPi49OEQNVLRBwUfV6ReSoUQ07XXDDnJU4h2sxf3Xc+PhsmwyaQ734j6PVU6VfDxg/XGNHxo+Dhy+OC9JDrDeDSI434vVPTRKnkBJtgO5zZEBbPBOF9epem66Y7z3BfS5eu54eKq7HTQuR3IGpnUsmChDrmg5XbnOZrROE+53MquyGZdcn0Vhag4QjzfwWKVvhhiO2tZJiGrn0gOp2jbUvJQAYcp14+klyqkwkmKM6qESCzF5KsQyKi9Pg5WqpcHuaDbW4KP20cymGP4+AF/qPPra05joHVK8YpYKSzBxx5gHWEwKGgk44KElCx4SAdJ3A8CT3rQOST4eLp6DPoaPjR8HDl8WEr9vBcladiMBmGgTnNEHxHd5nHBQ1pmrdagdgNlAMMkZa9zQ7HRce1vJknSczaeoZ8kI78efXjWYEg2Ud5BrVMhxYY24upbBR9yEz4ks0/sNXAovBEW4EEQPuFGS1QvwPEpQeN7WWbdGFyprVk8v7OEQHomHGCJANLkR5pS4Q4KpOfnBB8XLJQc3F8SeFDlg4Hk9sLhGQD+PW1HSn5rgm4yHQatXr87jJImMWHirN1jb3pS+kf4cX7x9BAovSC9JTV8HC98EDMM+zhKkzTqhSGPxmIWvzsosniUxMNhTP+PRlGcjIYRvovxY1oj/AAssQTfVT/BP8Q6zVPcVFspcctWazTCnSGImtPR8V9C349G9dt5Vd/UD1S74flK1T9x7a78UmP+iXrR+An/mF98dXS612rxD/ju6jes7jzin6onH6nD4F8+mnoY/TukkbnhkN+hoVrx6utBpyGXUREKHmFUDo0w7HTTtG+4XnOQZvGwZQvTd4AfDB8XTPv4Qw/sa/g47ugDwTScV/IkHUVew/Ao2rDtVlSUqFnkk4wXfQE+6UR9rRZ9URT51iry5z96dq9ixwM/uIodX61fa77+Sv104/ssX/6W9V/twJNltcNXf+fZ/0P28v/+H79FE158zDF9lcZUD/J9CwmbpBApKmN0sNHUnvQB3r00m4xjYsuYl9fnVPy4Anyw0Zz/oLekho/jhQ/JPdZGWka9BBocTkilPEzFNvqddrfVbrU6nWbY7nabrXan02qGzWar1WpitcNWk39E37ZC3N5sdeg//EVfVKvZxp9Oe+P7Nu7UpoPQo5vqAKvbq9Vqt9v0D9+Cr9vVbWGLv2x3Wnwf9R3+pqdY/VA9rhmG1Tf0yJZ6SrzqEPcL1Q10XPqd6AFh2OQnwS8dhm3cnW5X/7fb6hhNfip6RJvvxT8M6eYmQgmamaP3gQ8V8jvVVHdohY7htvrRYDCIon7bNwYLgEVoNxGaAawHyXDY6eZtRIG/X18RfBhPHsNH/1HDh4aPI4cPVEfHi147GQaG2+lwO9E2LdtxbMv0HFOarh/Y1TrQwOFpWkf1NsyqYcmdWNtd9lU3GzAnsM6xLqlIenEWqGjhDOOyzg3zRkl2cGVK6nUAHVE0jAZd9FkWBNVB2E8LYHd/POw3w7KNt/DH/SXBx+X5g69KH3d6S2r4OF74MDE0bwftcdEz/LA36ML02iMMALvBIsIEw4C03Z28jO0irKyaE9TwMDcYGNJYNmg3OirG91cbO4fK+v3NzcWjP+L9fuacnbs74IOSF8/xXIcoH8NFzO9AOMgxLdRKhjHIMG0Qby4hNkas0wfSD+HD6S2p4eN44cNF90C2o0nRb7R6w0GoFDy47VBnO4iXYchVf5lgODBBfdn7IM6ldAEursMkNVOe0OkCdbAnTNyenV+4lTT6w+MZEOSGaB9Xt2v48Gq/tWzGZRwg92m2epnh9QfxMEYZNQQCAz7Oz84eHh/5aKPHB23UoOHjyHkf4QA8LvQQx0nfGSZMrF7bPAn5SnqVZWworFP4YtuqMSr2UM9OZOYF8AFb2qW28ePDmXsO/LgkDtiGx600bQ/6jDLsJ0WKLlaaJnG3FWF4cDhGe4a0kxr31wLulo9KqvDjE7x6afj4amcKr4sGY7+P3LyLoTdSGlzRTRVP/BUbvgGmWb/nmRS3SG+t44EEyLRtk1xhcCffObHT5eyB4ePiAjTRQGUvjw93RP46x9gcEpurbWc+g3gfg2TQ7vZQRu20gnA0MAaDfr/jWlT7uP/P3S3Bxx98MG3zouHjqOGD+VKOGgJBiXM4UrNxFblyL5n8WQQTRqBCtPyqtipc13Ucy1yaMUB66CTtWs8eAB0slVyxzPv+4+OdS1rphB9rS3RmreHtdCnJA28dzXIEayb1vRCz+Y7p87AilWGti7PK4jZ40A7ZGj6OO3kR0rJpk7uNhmWESYKxF8swajzrV8GHdMBbHdHEjOWb1fyuMKrZNMX4bPhSeN5bpk2+AXw8ruGDiV4jDj/IawGRx7OJfSb3Kw03SbO3lkcCSkCU6g2xCD5uLs4flWHuw9m5xg8NH0cMH54KNmweQXFkOBhikh6pxmr+9NX1CkQfsY9uZKffbXUGvT73KQeDThB2+z0wLVoDfDcMGuZJwccDQcclwcfDYxBxveLxDB0Xxzpj5UFjHX4ImuqzKQyTSogJ9hXGJeC0gSzHunEgpO3eAD7O4frAhrnBw+Vvuvah4ePIS6efswYgjuOC2htl4844nyTFtCzyMo87YVokCRhTZQnhwgHtINc7nc4LK63TiNtDEFD2Ap45Qo/g4QGhA03eHn48GjRKHuTsTq2HO/Z4UcEHQOlab0kNH6cPHxaSF9BWfceC1UtjmMVxNoGbSxyP+3KYRMN02C3zKC0H7OhwMhXU86fbG0zHXZ4/Oei2cvgRPXpQEKrg4+ml5IPSG1DPVujx+HBx4VPX9s9RU8OHho9/CXwII6LoA7o4fjruDuLBEIMeoySM8siK4sEgHzWnEzksBo7hndCvfX57RvkGGUsGD48+5xzgemFw/+b2FpHJS/CB2bhzGs49o2rJ+dk9CB8XF25IbZeu//Dfy2udvGj4+BfAh0PwQZSzsBuPJ8PeAMFIP06bwzxq0uRunoSLiRGXfVDipTgZ7gfihiV8XNwF/iOxNah6CvzA6Ozdi/CBKglsYnBvLrZCY+z+9wvoCDGD5AGsj//oHanh418AH7YB8Y80DIL2IEqLKOwP0xQRSBvwEWAcHbZyzXIi43LgVWO+pwcfF4Gijv3RD+49AMgN4OP2Zfh4ImWQezK2BZDcP/6uRNsRwzgPYJVo1qmGj38BfLhhgjl1FgTpRHnfjmAkFyfj3qgYNfNylJbjQZl1kmLY9pTg6cnAxxnBh7K1vqOqxZ9k2PAbQQI8pF5qvAJ2bgl/7q+eOPogiWQW+ug/Np7OHnxNWtfw8W+Aj6AdjxMMno8g3zkY91HvSDEINurHk2F3nA/jbBSNk+4wHbQCJY16KrWP2zPe/QwfF40HSjyoaUKTMNc12pixt3NzThBDpg5gqZ7f/nhsjgBAo5DSGVRjNe1Uw8e/onFrBIrf4ASDuIUvSHyPOiwN3/J8+gphhydYdKvmA/P9Oy/r7MWDxOAjTcr+icIFec9dvwY+uEEDcyhM6J4/nd8H/T85dQmefP/u/lF3Xr7Vkgo+vsCjEvAhTvu9s6BLLIPmIOq3lAAIBxmW7fvLQX7DPrFf+ZySj0tGCgQi0Fc/46YrFT6fnh7vr26vLEcY+3UObu7vAB9EcXcgrnxzrtjqxD27se7uENjozsu3hI9PDz5OHD685bBLC0lKyDhhecLyAvVLBxV9VZwefDydX3LNQrlCPYVc+fwzaj78Dqe4p3MlN78XPm7uUR2l+OPp8szHtH+fwKcfPN6fEXPk6ocmrWv4+BfAB2mKOQ7opEG73zFEQL0VSzkTwMoWNHVonsP04QSjD/Z0ua/W5UXwhO7tn/B8QR/mGt+9AB9ceUXsgtQHDwg4dBk2H24wOfNAhPhzvSU1fPwb4EOyHKGJCodJpmlAEssIonbgrvwYxOkN3YJwfsuzcSv4uPC9B7A/yDOKZm9vTTao2/v4c+673N/AmvLBbxLhA7RVZC73NHl3ruFDw8e/Aj7M5VwYFTvUj+Cc3c3T0IOTSYhJW+h+nOTMPhU9zm8UClxfuuekks4pyAjSYw9n6j2Re+HniiMXSlWC5ojRIwQJ5JwUx/CPzl106fTfUTqFmazjec2m5zW8wPEFLFyD5rAfQk2VnSy9IJBmcGK/9HrkDQvKhUCR66fAIfYpVUADUkqX4oA09BVbaZ/dUeJCc3J/RAGG5p6u6EhPTxjC1VtSw8e/AD5MUhjz4HDgGI2AUKLpe2RtC4GxVrcB7fZ2r22c1LxL5XF7TdTRCwUgIIE8BrbxeM9SpcRf9w+EHurxl0Qde1Bljz9Z7fDC+3F9w3xUil70+j7rxjy7AXz8/ff0k9ffs7+7VCg76XevFcGqtdnrgyzW66UTsMiyOOxF0OZL4AqdRv7JsE034OOW4QNzs7dPZ493D2fX3o971YDlAITUT8+U+Ok5S5CdU48XC48wwDgjW0q/y4nLH3AJfbh+uvBviIem4eO7LVSwzm7Ccjot1fo4bqwP1KX62OkGo54rG5NxErWi4WBcDDpFCW/KchxGyaCXZ83BZBLX1MtOBT4uFSqs1i1FDcRff1SVDFRAAh+FDe/smgdbbnGPJ0VR9THY//T71Tmoqt0B35eznTO45hqX1My9uj7TMy/fTf7l5josv2JNO9c3p3s6KHYHnBmHYTIZDEftMJ/0wk6edOJsOBjFnWE+jo3g1M8fUMCeFDyodGQJIJAPunPdH+fnP3789/eLaiHh8dFh8Qlo/lSpjq+jje99Ofnt+t4vPt2ClYxe2yjMnywHmYsaTfi6xq1J1ouGAeCjHYZZ0hwVEWQKYSUzji375M8flEKpf3v79KCKocuoIgR+nNNAPhPMELOA2UEraC7vRI2aJ92o/ebw8fv1daP4ktXCafPjVN83afkgeAx6yWRSjFu9QR/2zzB4hczHuOwFXXgS9NMELJDTP4FUB7dxdhcEfpProRRZRLAJ9h+3FrCDmR50h374wJofegt+69rH3R1qH+X001eJ2gcd/GTfOngPBMM4SdJxOor63R4kT5vNLOkkWRwRekTjUf/k0eOKiqEkFnR5a6Hi8eAvIxBOTvrAEEiiBAH8s7vdFXTQfD7cbC8u/qvFCb996fTujDovaL3gr9n8r38+9Oev+Wx5rHmXsOnslGsfnWQc9zrdGD2XVitJACJQLOwPxlmMKX4EH8Hp1z4uni5ZPezaDS6chwYhyBJA/vxjey1/1G0GD16ATose0P/u28C6vAxW0cffn7BW0UcHkg6nm/yDNKYG9D22IQjUTL5H1dLAN2DPYKNrG5766YP848mg7KWBIiom7h84SWn2RwwWgIs/t5ADaQ2Smoe7kJwpMWOno49vXzoNvyB3ocYtamY/jFPmrZPrETM7LEYOF8LJNuuAsDOSf3oDt7vg4+KWyCCXTx6o7ICEx5tGg8ZZVmXU+hoNukQLoTbMzc3Dw6PmeXzz9fv99W/Bl8DH3x1ShNHv8IknL0QguyJyB0+z0NwsL//RD6jeMapWNEAdJAgo4iCdQuJ4YGiu0dDw8a3Xfy4vf0PtY8YLVPPZB9fyEMQ61bL7p79ubi5pDJdYHVesXLpaj+TCUG++8E/PFNEMQ/+XZ3eYFtKdl2/96T/Aqif831//LBdqnx/5szrQX3/907076c6LXlhKOOiciWOUxGCA/4LUDFlLmTTVUeYgKHlkLwcFL2fGLZPNbskZRvM+vjV83DF8/PPXatd/dG3ChyYhn/bipi2nI0qGjN2frmkMl3/y22/2hXVHw3Vnqj9D8HGn1E7JUPtSh6ffe/24vv4tXHdc1uHD+9Zfs1UDRtc+/g3wwbxSg2sfWCRC+PSDVAx/k2fUt1+lMhSJ3iozy7u78/NKbkifH8Y35wwCPoJaw3bxMfhY/L0JH/r8OH3OKT7jK5ql4wEYpbdOJHXCiYcHBSB3Z37DsdgahkLSs7MbDR+nsqxwShufFMJA9vrgogPgUJy8aO2Xk19XT1wIVeJjl1f01dlyPViWdYuZuUrXEF382yrHwZ3OSfWDxvr1e/i9J27PqPZRxQ6LxUdJYwQdy9oHK1Lp99g47cYtw4cCCOP2/O5BxRcP9xD8IF2yp/OVsjKSGvZouMYoNiGJfafPj2/feLux6jZRH9YYW66/Fog+dPxx8jMvpALEucs1KYFc0fWIPvcbLouSWNBVJRPC60oJLV/enPMD9flhaJe5f6nLnF56afjQ8KGXXnpp+NBLL700fOill14aPvTSSy8NHxo+9NJLLw0feuml1yctSxjN2Rfgx3TRMch2Xi+99DrdZTba+ZesbsPU765eep3wYr+SQHyBkh/JBJuOfof1ev/6/wGDGDxbmyOoJAAAAABJRU5ErkJggg=="
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "4a7c455c",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:47:04.296590Z",
     "iopub.status.busy": "2026-10-24T22:47:04.296510Z",
     "iopub.status.idle": "2026-10-24T22:47:04.585249Z",
     "shell.execute_reply": "2026-10-24T22:47:04.584754Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Rydberg energy 13.6057 eV, Bohr radius 0.05292 nm\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " n   open-nemo (eV)   Bohr −Ry/n² (eV)   <r> (nm)   1.5 a0 n² (nm)\n",
      " 1        -13.6008          -13.6057     0.0794         0.0794\n",
      " 2         -3.4011           -3.4014     0.3175         0.3175\n",
      " 3         -1.5117           -1.5117     0.7144         0.7144\n",
      " 4         -0.8503           -0.8504     1.2700         1.2700\n",
      "\n",
      "Balmer line   n   λ (nm), Ry      λ (nm), reduced mass   measured, vacuum (nm)\n",
      "H-α          3       656.11                656.47                656.47\n",
      "H-β          4       486.01                486.27                486.27\n",
      "H-γ          5       433.94                434.17                434.17\n",
      "H-δ          6       410.07                410.29                410.29\n",
      "Lyman-α: 121.57 nm\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1210x418 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Ry = COULOMB**2 / (4 * HBAR2_2M0)  # m0 q^4 / 2(4π ε0 ħ)^2 in eV\n",
    "a0 = 2 * HBAR2_2M0 / COULOMB  # 4π ε0 ħ^2 / m0 q^2 in nm\n",
    "print(f\"Rydberg energy {Ry:.4f} eV, Bohr radius {a0:.5f} nm\")\n",
    "\n",
    "dx = 0.002\n",
    "vac = nemo.structures.materials.EffectiveMassMaterial(\"vacuum\", 1.0, 1.0, conduction_band_edge=0.0)\n",
    "box = nemo.Heterostructure1D([nemo.Layer(vac, 8.0)], spacing=dx)\n",
    "r = box.x + dx / 2  # distance from the hard wall at r = 0\n",
    "st = nemo.eigenstates(box.hamiltonian.sparse, num=4, potential=-COULOMB / r)\n",
    "order = np.argsort(st[\"energies\"])\n",
    "En, vec = np.asarray(st[\"energies\"])[order], np.asarray(st[\"vectors\"])[:, order]\n",
    "print(\" n   open-nemo (eV)   Bohr −Ry/n² (eV)   <r> (nm)   1.5 a0 n² (nm)\")\n",
    "for n in range(1, 5):\n",
    "    p = abs(vec[:, n - 1]) ** 2\n",
    "    print(\n",
    "        f\"{n:2d}   {En[n - 1]:13.4f}   {-Ry / n**2:15.4f}   {np.sum(p * r) / np.sum(p):8.4f}   \"\n",
    "        f\"{1.5 * a0 * n**2:12.4f}\"\n",
    "    )\n",
    "\n",
    "# Balmer lines; the reduced mass of the electron–proton pair lowers Ry by m0/M_p\n",
    "Ry_H = Ry / (1 + 1 / 1836.15267)\n",
    "print(\"\\nBalmer line   n   λ (nm), Ry      λ (nm), reduced mass   measured, vacuum (nm)\")\n",
    "for name, n, meas in ((\"H-α\", 3, 656.47), (\"H-β\", 4, 486.27), (\"H-γ\", 5, 434.17), (\"H-δ\", 6, 410.29)):\n",
    "    lam_nm = [1e9 * H * c / (R * (1 / 4 - 1 / n**2)) for R in (Ry, Ry_H)]\n",
    "    print(f\"{name:10s}  {n:2d}   {lam_nm[0]:10.2f}      {lam_nm[1]:16.2f}      {meas:16.2f}\")\n",
    "print(f\"Lyman-α: {1e9 * H * c / (Ry_H * 0.75):.2f} nm\")\n",
    "\n",
    "fig, (a1, a2) = plt.subplots(1, 2, figsize=(11, 3.8))\n",
    "for n, col in zip(range(1, 4), style.sweep(3)):\n",
    "    p = abs(vec[:, n - 1]) ** 2\n",
    "    a1.plot(r / a0, p / p.sum() / dx * a0, color=col, label=f\"n = {n}, E = {En[n - 1]:.3f} eV\")\n",
    "a1.set(\n",
    "    xlim=(0, 30),\n",
    "    xlabel=\"r / a₀\",\n",
    "    ylabel=\"radial probability |u(r)|² (1/a₀)\",\n",
    "    title=\"hydrogen s states (open-nemo)\",\n",
    ")\n",
    "a1.legend(frameon=False, fontsize=8)\n",
    "for m, col in zip((1, 2, 3), style.sweep(3)):\n",
    "    nn = np.arange(m + 1, m + 8)\n",
    "    a2.plot(1e9 * H * c / (Ry_H * (1 / m**2 - 1 / nn**2)), np.full(nn.shape, m), \"|\", ms=18, color=col)\n",
    "a2.set(\n",
    "    xscale=\"log\",\n",
    "    yticks=[1, 2, 3],\n",
    "    yticklabels=[\"Lyman\", \"Balmer\", \"Paschen\"],\n",
    "    ylim=(0.5, 3.5),\n",
    "    xlabel=\"wavelength λ (nm)\",\n",
    "    title=\"hydrogen emission lines\",\n",
    ")\n",
    "a2.axvspan(380, 750, color=style.CONTEXT, alpha=0.15)\n",
    "fig.tight_layout();"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "db7066c4",
   "metadata": {},
   "source": [
    "open-nemo's ground state is −13.6008 eV against Bohr's −13.6057 eV; the 0.04 % difference comes from\n",
    "the grid near the Coulomb singularity and shrinks as the spacing is refined. The higher levels,\n",
    "−3.4011, −1.5117 and −0.8503 eV, follow $-R/n^2$ as closely, and the mean radius of the $s$ states,\n",
    "$\\langle r\\rangle = 1.5\\,a_0 n^2$, grows as $n^2$ like Bohr's orbits. Nobody put the levels in by\n",
    "hand: they appear because a wave bound to the proton can only take discrete shapes. With the reduced\n",
    "mass of the electron–proton pair the Balmer lines come out at 656.47, 486.27, 434.17 and 410.29 nm,\n",
    "the measured vacuum wavelengths to 0.01 nm; Lyman-α is at 121.57 nm in the ultraviolet.\n",
    "\n",
    "## 3. The photoelectric effect\n",
    "\n",
    "The third puzzle: light ejects electrons from a clean metal surface. Researchers observed this from\n",
    "1839 on (1839, 1873, 1887, 1899, 1901), and for over 55 years it remained unexplained, because:\n",
    "\n",
    "- the electrons come out immediately, with no time lag;\n",
    "- more intense light ejects more electrons, but not faster ones;\n",
    "- red light does not eject electrons at all, however intense;\n",
    "- weak violet light ejects a few electrons, but with high energy.\n",
    "\n",
    "The light needs a minimum frequency, and the energy of the electrons depends on the frequency of the\n",
    "light, not on its intensity. Einstein's solution of 1905 (Nobel prize 1921) is that light consists of\n",
    "particles, photons of energy $E = hf$, Planck's constant times the frequency. A photon is not\n",
    "divisible; it gives all its energy to one electron, which needs at least the work function $W$ to\n",
    "leave the metal:\n",
    "\n",
    "$$\\tfrac12 m_0v^2 = qV_R = hf - W \\ge 0, \\qquad f_m = W/h .$$\n",
    "\n",
    "![Slide 16: photoelectric effect: retarding voltage against photon energy](attachment:slide_016_crop.png)\n",
    "\n",
    "*Slide 16: electrons ejected by photons hf leave with energy hf − W; the retarding voltage V_R that stops them rises linearly with hf above the work function W.*\n",
    "\n",
    "The retarding voltage rises linearly with frequency with slope $h/q$, independent of the metal; this\n",
    "is how Millikan measured Planck's constant in 1916. The cell uses work functions of the alkali\n",
    "metals (CRC Handbook) and the colours of the lecture."
   ],
   "attachments": {
    "slide_016_crop.png": {
     "image/png": 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"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "3aec9b64",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:47:04.586583Z",
     "iopub.status.busy": "2026-10-24T22:47:04.586491Z",
     "iopub.status.idle": "2026-10-24T22:47:04.651557Z",
     "shell.execute_reply": "2026-10-24T22:47:04.651174Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "metal   W (eV)   threshold λ_m = hc/W (nm)\n",
      "Cs        2.14          579\n",
      "K         2.29          541\n",
      "Na        2.36          525\n",
      "\n",
      "light (nm)   photon hf (eV)   Na: E_kin = hf − W (eV)   photons/s in 1 mW\n",
      "red     700          1.771           none (below W)   3.52e+15\n",
      "green   530          2.339           none (below W)   2.67e+15\n",
      "blue    450          2.755                    0.395   2.27e+15\n",
      "violet  400          3.100                    0.740   2.01e+15\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 715x418 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "W = {\"Cs\": 2.14, \"K\": 2.29, \"Na\": 2.36}  # work function (eV)\n",
    "colours = {\"red\": 700, \"green\": 530, \"blue\": 450, \"violet\": 400}  # nm\n",
    "print(\"metal   W (eV)   threshold λ_m = hc/W (nm)\")\n",
    "for metal, w in W.items():\n",
    "    print(f\"{metal:5s}   {w:6.2f}   {1e9 * H * c / w:10.0f}\")\n",
    "print(\"\\nlight (nm)   photon hf (eV)   Na: E_kin = hf − W (eV)   photons/s in 1 mW\")\n",
    "for name, l_nm in colours.items():\n",
    "    hf = 1e9 * H * c / l_nm\n",
    "    ek = hf - W[\"Na\"]\n",
    "    print(\n",
    "        f\"{name:6s} {l_nm:4d}   {hf:12.3f}   {('%.3f' % ek) if ek > 0 else 'none (below W)':>22s}   \"\n",
    "        f\"{1e-3 / (hf * Q):.2e}\"\n",
    "    )\n",
    "\n",
    "f_ = np.linspace(3e14, 1.2e15, 200)\n",
    "fig, ax = plt.subplots(figsize=(6.5, 3.8))\n",
    "for (metal, w), col in zip(W.items(), style.sweep(3)):\n",
    "    ax.plot(f_ / 1e14, np.clip(H * f_ - w, 0, None), color=col, label=f\"{metal}, W = {w} eV\")\n",
    "ax.set(\n",
    "    xlabel=\"light frequency f (10¹⁴ Hz)\",\n",
    "    ylabel=\"retarding voltage V_R (V)\",\n",
    "    title=\"slope h/q = 4.14×10⁻¹⁵ V s for every metal\",\n",
    ")\n",
    "ax.legend(frameon=False, fontsize=8)\n",
    "fig.tight_layout();"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cde1c4cc",
   "metadata": {},
   "source": [
    "Sodium needs light shorter than 525 nm. Red light (1.771 eV photons) ejects no electron, however many\n",
    "photons a beam carries ($3.52\\times10^{15}$ per second at 1 mW); violet light (3.100 eV) ejects\n",
    "electrons with 0.740 eV, and a weaker violet beam ejects fewer of them with the same energy. Planck's\n",
    "quanta of emission are matched by quanta of absorption.\n",
    "\n",
    "## 4. Wave–particle duality\n",
    "\n",
    "Light interferes and diffracts like a wave (Lecture 4.1) and is absorbed in indivisible quanta like a\n",
    "particle. All particles have wave properties (they interfere, diffract and form standing waves) and\n",
    "all waves have particle properties (momentum, energy, they can be created and destroyed). One\n",
    "describes them by an energy $E$, a frequency $f$, a momentum $\\hbar k$ and a set of discrete quantum\n",
    "numbers, and chooses the wave or particle picture according to the problem. The relativistic energy\n",
    "relation joins the two pictures:\n",
    "\n",
    "$$E = \\sqrt{m_0^2c^4 + p^2c^2} \\;\\xrightarrow{\\;m_0 = 0\\;}\\; hf = pc, \\qquad\n",
    "p = \\frac{hf}{c} = \\frac{h}{\\lambda} = \\hbar k .$$\n",
    "\n",
    "De Broglie applied $p = h/\\lambda$ to electrons in 1924. The cell compares the wavelength of a photon\n",
    "and of an electron with the same energy, using the full relativistic relation for the electron."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "e304032d",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:47:04.652794Z",
     "iopub.status.busy": "2026-10-24T22:47:04.652699Z",
     "iopub.status.idle": "2026-10-24T22:47:04.654945Z",
     "shell.execute_reply": "2026-10-24T22:47:04.654624Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "electron rest energy m0 c² = 511.00 keV\n",
      "    E (eV)    photon λ = hc/E    electron λ = h/p (relativistic)   non-relativistic 2π/k\n",
      "         1           1240 nm                    1.226 nm                    1.226 nm\n",
      "        10            124 nm                   0.3878 nm                   0.3878 nm\n",
      "       100           12.4 nm                   0.1226 nm                   0.1226 nm\n",
      "    100000         0.0124 nm                 0.003701 nm                 0.003878 nm\n"
     ]
    }
   ],
   "source": [
    "mc2 = M0 * c**2 / Q  # electron rest energy (eV)\n",
    "print(f\"electron rest energy m0 c² = {mc2 / 1e3:.2f} keV\")\n",
    "print(\"    E (eV)    photon λ = hc/E    electron λ = h/p (relativistic)   non-relativistic 2π/k\")\n",
    "for E_ in (1.0, 10.0, 100.0, 1e5):\n",
    "    pc = np.sqrt((E_ + mc2) ** 2 - mc2**2)  # kinetic energy E_ -> momentum (eV)\n",
    "    lam_e = H * c / pc * 1e9\n",
    "    lam_nr = 2 * np.pi / np.sqrt(E_ / HBAR2_2M0)  # E = ħ²k²/2m0, as in open-nemo's effective-mass model\n",
    "    print(f\"{E_:10.0f}   {1e9 * H * c / E_:12.4g} nm   {lam_e:22.4g} nm   {lam_nr:22.4g} nm\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ed382b2e",
   "metadata": {},
   "source": [
    "An electron of 1 eV has a wavelength of 1.226 nm, a photon of 1 eV 1240 nm. At 100 eV the electron\n",
    "wavelength, 0.1226 nm, is comparable to the 0.235 nm bond length of Si, so electrons diffract from\n",
    "crystals (Davisson and Germer, 1927). This is the reason the electrons in a semiconductor have to be\n",
    "treated as waves: their wavelengths at the energies of interest are a few nanometres, the size of the\n",
    "atomic lattice and of modern devices. Relativity matters only far above these energies; at 100 keV,\n",
    "as in an electron microscope, the relativistic wavelength (3.701 pm) is 4.6 % shorter than the\n",
    "non-relativistic one.\n",
    "\n",
    "## Summary\n",
    "\n",
    "- Black-body spectra follow Planck's formula; at 2000 K the peak is 41.2 W/(cm² µm) at 1.449 µm,\n",
    "  and the peaks and the total power reproduce Wien's displacement and the Stefan–Boltzmann law.\n",
    "- Planck's formula = (number of cavity standing-wave modes ∝ $f^2$) × (quantum $hf$) × (occupation\n",
    "  $1/(e^{hf/k_BT}-1)$). The 2.725 K cosmic background peaks at 160.2 GHz.\n",
    "- Hydrogen's discrete lines follow $13.6\\ \\text{eV}(1/m^2 - 1/n^2)$. open-nemo's eigensolver gives\n",
    "  −13.6008 eV for the ground state of the radial Schrödinger equation (Bohr: −13.6057 eV) and the\n",
    "  Balmer lines at the measured wavelengths.\n",
    "- Photoelectrons have $E_\\text{kin} = hf - W$: red light ejects none from Na, violet light ejects\n",
    "  electrons with 0.740 eV.\n",
    "- $p = h/\\lambda$ for photons and electrons; a 1 eV electron has $\\lambda$ = 1.226 nm.\n",
    "\n",
    "## Exercises\n",
    "\n",
    "1. Compute the fraction of the Sun's radiation (a black body at 5800 K) that lies in the visible,\n",
    "   380–750 nm, and the fraction that a Si solar cell can absorb ($\\lambda < 1.1$ µm).\n",
    "2. Refine the hydrogen calculation with spacings 0.004, 0.002 and 0.001 nm. How does the error of the\n",
    "   ground state scale with the spacing?\n",
    "3. Add the centrifugal term $\\hbar^2 l(l+1)/(2m_0r^2)$ to the potential and find the $2p$ level\n",
    "   ($l = 1$). Is it degenerate with $2s$?\n",
    "4. Which metal of the table would eject electrons with green light at 530 nm, and with what\n",
    "   retarding voltage?\n",
    "\n",
    "## Further reading\n",
    "\n",
    "- [Lecture 4.1: Classical systems](04_1_classic_systems.ipynb)\n",
    "- [Lecture 4.3: Why do we need quantum mechanics?](04_3_why_quantum_mechanics.ipynb)\n",
    "- [Lecture 5: Analytical solutions for free and bound electrons](05_0_free_and_bound_electrons.ipynb)\n",
    "- [Lecture 8: Bonding and antibonding states](../04_nanoscale_electronic_states/08_0_bonding_and_antibonding_states.ipynb)\n",
    "- Black-body radiation: https://en.wikipedia.org/wiki/Black-body_radiation\n",
    "- J. C. Mather et al., *Astrophys. J.* **354**, L37 (1990): the COBE FIRAS spectrum.\n",
    "- Photoelectric effect: https://en.wikipedia.org/wiki/Photoelectric_effect\n",
    "- *CRC Handbook of Chemistry and Physics*, \"Electron work function of the elements\"."
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