{
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   "cell_type": "markdown",
   "id": "34c9dc03",
   "metadata": {},
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    "# Lecture 10.1: Introduction to transport — scattering experiments versus non-equilibrium transport\n",
    "\n",
    "*From* [Nanoelectronic Modeling — From Atoms to Devices](https://nanohub.org/resources/45001), *Gerhard Klimeck, Purdue University. Lecture page:* [nanoHUB resource 45018](https://nanohub.org/resources/45018) — [video](https://nanohub.org/resources/45115) · [slides](https://nanohub.org/resources/45114)\n",
    "\n",
    "**In this lecture**\n",
    "\n",
    "- what the tunneling lectures of Section 6 computed: a scattering experiment, one wave in, reflection\n",
    "  and transmission out, with no bias, no contacts, no temperature and no occupancy of states\n",
    "- why a device is different: electrons are charged fermions, their occupancy matters, and the current\n",
    "  that flows rearranges the very object it flows through\n",
    "- the new questions this raises: where the electrons are, how the bias changes the charge, the role\n",
    "  of spin and of geometry\n",
    "- what is needed to get a current: channels (can carriers get through?) and a driving force\n",
    "  $\\mu_L - \\mu_R = eV$ (why would they bother?)\n",
    "- the window between the two chemical potentials: at zero temperature only it carries net current;\n",
    "  at finite temperature excited carriers contribute\n",
    "\n",
    "**In this notebook** you compute the scattering quantities $T(E)$ and $R(E)$ of a GaAs/AlGaAs double\n",
    "barrier with open-nemo, show how an applied voltage changes them, build the Landauer current from\n",
    "channels and a driving force (first for ideal channels, which give the conductance quantum, then for\n",
    "the double barrier), and compare the current of the biased device with the current one would predict\n",
    "from the unbiased scattering experiment."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "7d5fc9b0",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:49:07.918434Z",
     "iopub.status.busy": "2026-10-24T22:49:07.918368Z",
     "iopub.status.idle": "2026-10-24T22:49:08.375956Z",
     "shell.execute_reply": "2026-10-24T22:49:08.375570Z"
    }
   },
   "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",
    "from opennemo.structures.statistics import fermi\n",
    "\n",
    "style.use(notebook=True)\n",
    "EM = nemo.structures.materials.EffectiveMassMaterial\n",
    "Q, H = nemo.core.units.Q, nemo.core.units.H      # C, eV s\n",
    "G0 = nemo.core.units.G0                          # 2e²/h in S"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "537892c6",
   "metadata": {},
   "source": [
    "## 1. What we did before: a scattering experiment\n",
    "\n",
    "The tunneling lectures treated a barrier structure the way Rutherford treated a gold foil: send in a\n",
    "wave $e^{ikz}$ from the left, and measure what comes back, $r\\,e^{-ikz}$, and what goes through,\n",
    "$t\\,e^{ikz}$. The object is characterized by\n",
    "\n",
    "$$\\left[-\\frac{\\hbar^2}{2m^*}\\frac{d^2}{dz^2} + V(z)\\right]\\varphi(z) = E_z\\,\\varphi(z),\\qquad\n",
    "T(E_z) = |t(E_z)|^2,\\qquad R(E_z) = |r(E_z)|^2 = 1 - T(E_z),$$\n",
    "\n",
    "with $\\hbar$ the reduced Planck constant, $m^*$ the effective mass, $V(z)$ the conduction-band\n",
    "profile and $E_z$ the energy of motion along $z$. The probe is a weak perturbation: the object is the\n",
    "same after the measurement as before. This is metrology, and the same description applies to\n",
    "electromagnetic waves (refraction, diffraction, transmission), where the photon occupancy never\n",
    "enters. Klimeck stresses what is missing: the problem is purely one-dimensional, with one energy\n",
    "variable; there is no bias, no contact and no temperature; no current is computed; and \"we never\n",
    "once asked about the occupancy of states\".\n",
    "\n",
    "![Slide 3: the scattering experiment of the tunneling lectures](attachment:slide_003_crop.png)\n",
    "\n",
    "*Slide 3: an incoming wave, a reflected and a transmitted wave, and the one-dimensional Schrödinger\n",
    "equation that defines $T(E_z)$.*\n",
    "\n",
    "The object used throughout this section is a GaAs quantum well of 5 nm between two 5 nm\n",
    "Al$_x$Ga$_{1-x}$As barriers, 0.3 eV high, with GaAs contacts. The masses are $0.067\\,m_0$ in GaAs and\n",
    "$0.092\\,m_0$ in the barriers ($m_0$ the free-electron mass). `nemo.resonances` returns the\n",
    "quasi-bound states as complex eigenvalues $E_r - i\\Gamma/2$ of the open system, with $\\Gamma$ the\n",
    "full width at half maximum of the transmission peak."
   ],
   "attachments": {
    "slide_003_crop.png": {
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"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "9f92a4bf",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:49:08.377292Z",
     "iopub.status.busy": "2026-10-24T22:49:08.377180Z",
     "iopub.status.idle": "2026-10-24T22:49:08.679999Z",
     "shell.execute_reply": "2026-10-24T22:49:08.679620Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "resonance at  81.79 meV, width Γ = 0.129 meV\n",
      "resonance at 292.00 meV, width Γ = 8.989 meV\n",
      "smallest R = 1 - T on the grid: 1.1e-09\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1100x418 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "gaas = EM(\"GaAs\", 0.067, 12.9)\n",
    "algaas = EM(\"AlGaAs\", 0.092, 12.2, conduction_band_edge=0.3)\n",
    "layers = [nemo.Layer(m, d) for m, d in zip((gaas, algaas, gaas, algaas, gaas), (10, 5, 5, 5, 10))]\n",
    "dev = nemo.Heterostructure1D(layers, spacing=0.05)\n",
    "tr = nemo.Transport(dev.hamiltonian)\n",
    "\n",
    "E = np.linspace(0.001, 0.5, 5000)\n",
    "T = tr.transmission(E)\n",
    "res0 = nemo.resonances(dev)\n",
    "for e, g in zip(res0[\"energy\"], res0[\"width\"]):\n",
    "    print(f\"resonance at {e * 1e3:6.2f} meV, width Γ = {g * 1e3:.3f} meV\")\n",
    "print(f\"smallest R = 1 - T on the grid: {(1 - T).min():.1e}\")\n",
    "\n",
    "fig, axes = plt.subplots(1, 2, figsize=(10, 3.8))\n",
    "axes[0].plot(dev.x, dev.band_edge, color=style.OPEN_NEMO)\n",
    "for e in res0[\"energy\"]:\n",
    "    axes[0].axhline(e, color=style.CONTEXT, ls=\"--\", lw=0.8)\n",
    "axes[0].set(xlabel=\"z (nm)\", ylabel=\"potential energy (eV)\", title=\"GaAs / AlGaAs double barrier\")\n",
    "axes[1].semilogy(E, T, color=style.OPEN_NEMO, label=\"T(E)\")\n",
    "axes[1].semilogy(E, 1 - T, color=style.CONTEXT, label=\"R(E) = 1 − T(E)\")\n",
    "axes[1].set(xlabel=\"E (eV)\", ylabel=\"probability\", ylim=(1e-9, 2), title=\"scattering experiment\")\n",
    "axes[1].legend(frameon=False, fontsize=8)\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9cf950f8",
   "metadata": {},
   "source": [
    "Two resonances lie at 81.79 meV and 292.00 meV, with widths of 0.129 meV and 8.99 meV. At a resonance\n",
    "the double barrier transmits with probability one, between them it reflects almost everything. This\n",
    "is everything a scattering experiment can tell: a property of the object, independent of how many\n",
    "electrons are sent in and of whether the states are occupied.\n",
    "\n",
    "## 2. Electrons are fermions with charge: transport changes the object\n",
    "\n",
    "A device is different. It sits between a source and a drain, and an applied voltage drives a flow of\n",
    "electrons through it. The electrons carry spin and charge, they move and interact. Because they are\n",
    "fermions, the occupancy of the states matters (Fermi functions, Pauli exclusion). And because they are\n",
    "charged, the flow rearranges the potential of the object it flows through: the object is no longer\n",
    "the same after the measurement.\n",
    "\n",
    "![Slide 4: transport through a device](attachment:slide_004_crop.png)\n",
    "\n",
    "*Slide 4: the same structure between a source and a drain; an applied voltage drives the device out\n",
    "of equilibrium.*\n",
    "\n",
    "The simplest version of this change, before any charge is computed (that comes in Lectures 10.5 and\n",
    "10.6), is the applied voltage itself. Assume the voltage $V$ drops linearly across the two barriers\n",
    "and the well, with flat contacts. The potential energy then falls by $eV$ from the left to the right\n",
    "contact, and the scattering properties change with it."
   ],
   "attachments": {
    "slide_004_crop.png": {
     "image/png": 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"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "a0a6928f",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:49:08.681324Z",
     "iopub.status.busy": "2026-10-24T22:49:08.681231Z",
     "iopub.status.idle": "2026-10-24T22:49:08.934667Z",
     "shell.execute_reply": "2026-10-24T22:49:08.934307Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  V (V)   lowest resonance (meV)   shift (meV)   width (meV)   peak T\n",
      "  0.00          81.79               0.00        0.129       1.000\n",
      "  0.05          56.74             -25.05        0.136       0.857\n",
      "  0.10          31.42             -50.37        0.157       0.532\n"
     ]
    },
    {
     "data": {
      "image/png": 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w6IFC68fQ0c7e9nGw8IJQ9Piq1FM6oZT2H4t9Id9XOccGDkqfu7yQ/754e/twdwj5DBds+8fZzwo6TnH1PXtoxM4DOx9BgcE5zov3e58i/QZU7SspbCzJhDwWlJ7FlXv18jWPM8csIdgYkf1vbCyJMcdcgqTjxuK+FiiK/JiSjWvlz2NeKNvHRT2/BMGgmBiljO49u8tez/j8K9y9c4/fpJgLwW9r1/NsHCw1K8PU1ER24WX7vHv7jmfzKEjAUIWGjRqgarWq/PU/O3fJxASpSSOvd49uOXwpWSRkZtq4cf0m2fZucvvkhTTlFJuAMz9CZnombYsybe3Qsb3sNYuOzm4WzLxt5zaJJYeq5zs/2nVoK3vNlGV2vKtXrmHn9p1QFlXPIzsei1jNzsvyH1fITGNbtGwOQ0PKM08QBFHWsP5gzs1gptdMGGf3RUWzZklhLomt2kgygLFJ1dzZ3/HME+x+wYJ2L/huIUYMHVWs9TGVc2lk921WD5Ztg8V6KCosGDaLjSDNCMZSgUoJDQ0rcvnqOr6q9WT7tWoteVIfGRGJH5cu4313+OARnD19Thbos2Xr7CxvRYF9X9q2b8NfM0vOaZM/x4P7D/gDrB3bdmLdGuVibRVX37PA58xdQuoCwyx22XlhVrssflhRfgPq+E61+GCNwawuWLubNG3C/2drNpaVuj43b9msULFBXdcCRWGx3pj1NRvPyrtht+/QTi19/Kl/s4RmQJYYpYxJn03CjWs3uXLLYiAMHywJqCOFKcna2pKL3YBBA/Dzsl/4xXDC2EmyfdjFUJmnCIrAggexybG0XBbbQyo68HpPmcyDk7KLMqt77245YzaMnziuUJ8/djM6e+Yc91dkqc8Yi5Ys5EGllGnrxM8m4OjhozyI0a2bt9Gzq6Ssj58cKHu+82Pi5IncPJBlKWE3zoKOVxhFOY/z5y7IdYP/bsF3SteBIAiC+PSwp5XM5Jxly2L3g3atOvDtp8+fQq3auYMrFsRPy3/AsEEjeBawA/sP8kWeuvXqFGt9mGl5+47tcPXyNR4cXHpvU+U++THR0TH4bU3eWcS6fQjSXZwoevyi1PPH5T9g6KDh3FJz57adfJHCLC6X/7IcFhbZE8Gi8tOKn3jcCPaU/OaNW3yRMnlK9hhMEYqz71m8jiEDhvHseX9t3cYXadnM6kLV34A6vlNMxGBWzFKkcVZYEM/tf+2QbVckHoY6rwWKEBUZxbPhyFOpUkUeb0Mdffypf7OEZkAiRhFgfnVS035puiNFt/HtBrm3s6fmLIXmoQOH+YTez8cXunp6KO9cHk2bNsbAwQNl+06Z9hm3iDh+7ASio6JRoYIrxowfg03rNyE8LCJHhN/86qAozOri7+1/QyyW3BRGjM452Wf13vPvbh785/zZCwgMDOKxJCpVqcwFEPmLUn51WbpsKUzNTHlqUqnfndQCQ5m2MhM2Fnmaub6w9FXMz7VO3TpwKueEVT+vzuEDq8z5zg82cDh09ABWr/yVZxyRHo/dENeskkTONvtgillYPyhzHuUZO2Esrwez2mA3OXaz+frbWcVycyMIgiCKHzZG+HP7H3ywz7ILpKSk8u36H/zc2X1Pej9h+0ph95aPt7NJ0LlLZ/D3zn+4pSF72sn2c63gwq0Xe/XpVWz1kbJ+029Yu3odbt+6zVMq1qxdC/0G9MWied/netqsTNtOnT2BwwcP4+bNW/D3C0CmWMzjjzGrRRbAs6DPMuwdJCbyllYW2W2Vu1fLPyXOq16KHl/heuZxDOZCyzI+7PhrJxcUWKBKlp6dBR0fP3F8jnu9MucuP5ydy/Pj7dq5C9eu3eDB51mcLxZEfNLkiUofp7j6nmXf2H9oL/9Ovn/vzSf6bdq0xtu3b2VB6KXjPWV+A4r2VUEwcYLFeJA+aGPiBaNJsyY5tn9sQZNX+9V5LcgP+TK+/W42Hj54iBfPX3BrnKbNm2L23G9kMWPyOp4yfayO80sQWlnqfmRPEKWAcaMnoE2bVmjWohkXNd6/88byH5dz/07G33t2ol37bDeQsgi7CbO83Yxp06fiu/nZudIJgiAIgiA0mbi4eIwYMhKfTZ2M2nUk6UQf3H/IXXtZ5g8mRt1/fC+HEEUQhGZAlhiERhIdFYWfflie53t9+/cp8wIGQRAEQRCEkGHuviyG2qyvvs71HnM3Xvj9AhIwCEJDIRGD0Eh27t6B7X/uwL2797jJIHNLYcFJmbmgfPDMskxRXYQIgiAIgiDKKmzsw1xEWIyJF89f8jT1zG2BufQOGzGUrwmC0EzInYQgCIIgCIIgCIIgiDIBpVglCIIgCIIgCIIgCKJMQCIGQRAEQRAEQRAEQRBlAhIxCIIgCIIgCIIgCIIoE5CIQRAEQRAEQRAEQRBEmYBEDBUQi8WIjorma4IgCIIgCHVBYwyCIAiCKBgSMVQgLjYOs6bN4Wt14v8uEEKB2qqZCKlfhdZeaqtmIqR+FfIYg/qZzgl9T+i3Q9eT4oWusyV7TkjEKEVkZmZBKFBbNRMh9avQ2ktt1UyE1K9ChvqZzgl9T+i3Q9cTus5q0r2HRAyCIAiCIAiCIAiCIMoEJGIQBEEQBEEQBEEQBFEmIBGDIAiCIAhCTdy9cw8d23RCbfe6mDdnPjIyMujcEgRBEIQaIRGDIAiCIAhCDYhEIsz68mssWrIQt+/fhK+PH44eOUbnliAIgiDUCIkYBEEQBEEQH0hNScWF8xdx/dqNfM+Jj7cPzp+7gEcPHyMzM1O2/d3bd7CwNEeHTh1gbm6OMeNG4frV/MshCIIgCEJ5dFX4DEEQBEEQhEbBxIifli7DqZOnoaOtA1s7G7Rt1ybXfst+WI49u/aiUeOG8PT0gouLC3bu3g4zMzNER8fA2tpatq+NrS1ioqNLuCUEQRAEodmQJQZBEARBEIJHLBajXPlyuPDfOXTv2S3P83H1yjVs+3M79vy7G7v2/YOLl88jPDwca1ev4+/b2FgjMjJKtn9kRCSsbbJFDYIgCIIgNNwSgz0VefniJZKTU1C7Ti2YmJgoZAb65o0ndHS0UblKZRgbG6ulXIIgCIIgNBc9PT1MnjKpwH2OHTmGxk0aoUHD+vx/C0sLDBk6GDu3/43vly7i446kxEScO3ueW2r8veNvDB0+tMAyU5JTkJKSIvs/NiZWTS0iCIJQnaSod0iO8YFt5c7Q0tKiU1kKyRSlISM1VrKkxECUnoRMcRqyxBnIzExHpjiDv5aShaycBWTJ///Re9CClpY2X8DW2jqSNV90JNu12VoL2jqG0NE3hq6eMXT0TPhrts7KFAlPxAjwD8D4MRORlJgESysLBAUG4dfffkXXbl3y/cyGdRux65/dcHZ2RlJSIoKDQ7Bg0XwMHzmsSOUSBEEQBEG8ee3JRQx53Gu4Izo6GuHhEbC3t8Nvm9Zh4bxFCA+LQO++vdB/YL8CT9y5Uxdw7ODJ3OMg7xDERyWp5aRnijPh6xVAHUjnhL4n9NtRCFFaNHwvDkamKBF2db6BVeXsuRRdT4p+nc3KykJ6SgZSE9ORlpyO1KR0pCVlQJQuhjhDDFGGGGJRJn8tzshERnoKMpKjIUqJQUZaAsTpyRBnpCJTJEJWlhYyM7WQIdZGulgbokwtiDK1IRJLtmuzPyY6MAeMLG3oaelCGzr8c1mZbC1xzNDWFkFbRwRtbbHsta5uOvT0UqGnnyJZ9FKgb5AMQ6N4vhgYJEJb+2PxIxv7egvgq13wPVAZ3Kq5lH4R45tZ38LJyRE7d++Arq4uNv62iUf8vn7nKmxsbPL8jKWlBa7fugpDI0P+/987/uHpzTp37QRbW1uVyyUIgiAIgkhISIClpWWOE2FlJfk/Pj6eixiNmzTGuUtnFT5Z3Xt3RbtObXJYYiydtxwulZzU5orCBtbygz+Czgl9TzT3txMTFo8jv15GhVpO6DyumUpl+Nw7wQUMbV1DxPvsQb1u/4O2tm6ZPSclQV7nJTMzC5GBMQjyCudLhH8MokPiEBMaj7SU3Om3M7OykJYpRqpYhFS2zhQhVSxGWlY60jJF/D2+ZGUiTZyJtMwsvi97rQwGujowNtCDsYE+zAz1YWliBCsjQ5gbmsHcwAAWBgYw1zOAOE2MlIR0xISlIz01t1UFM9AxtTaAha0+rB30YGWvBUu7TFjYZMDYNAUivVrF9l0plSJGQEAgPO56yIQGxsTPJmDj+k04d+Y8Ro0Zmefnxowfk+P/uvXqcqWLDQiYiKFquQRBEITw8HzjiaGDhnNxnLkNyDNu9AS0at0SU6Z9prbj3b1zjweWZBaCDRs1wPJflsHB0aHI+xfUjjlzv0Xnbp3U2g5NxkBfH0lJOa0jkpKSJe8ZGKhUppGxEV8IgsHGrWySY1Mup1hGEIpycuM1vLnrwxfXWo6o1riC0icv3OsMTG2ro2KzGXh+egZiAz1g7dqSOkEBEmOS8eqWN17e88aL+z6IiU2SCBEQQ9dMH1mGOhAbAOmGmUhOz0Biahrik1MRn5iCuIRs18K8BANzMyNYWZnCxsIYlhYmsLI0gSV7bW4MIyN9GOjrwcBAF/psra8LbW0tZGSIkZ4hgkgkRnq6CInJaYiNS+L1io1LRnRMInxDYnDvXSC//mQfTwsVnG3hXtUJ1eo5obqbAyo528HF1hLp8WmICUtALFvCExAVHAevh9HcokSKrr4O2o/Rg3sTCEfEePXyFV/Xql1Tto3FtnCr6IbXr14X+Fl/P394e/sgIjwC2//agZGjR6BK1SpFLpcgVGH/nwfx2x9XUKOcNjo3FKO8czJMzNL4hUgTydR1QYUqP0v85jQYsSgVb6/+hMjAF4h6IrH80mR0DcxhWJ6JvMJ68uJe3Z1b7p08cQqjx46SbQ8OCsbN6zex7Oef1HasyMhITB7/GebMm42OnTth9S+r8eX0mThweH+R9y+oHQ8ePMSaDb+qrR2ajqubK4KDg3NsYyKSvr4+P8cEUVRuHHzMJ6FfbhkB15r0nSKUn0C/uP4OzfvWwbOrb3Hr8BOlRQw2xokPfQrXRpMl8TC0dRH+9pzgRQw2wY+ISkBAUCTCI+IRERX/YZ2A8Ig4vH0ViKioRMQmJHPRIiMrD+uIMMlKV1cH1lYmsLY0hY2tGSqYmEI33Re6Kb4wNUiFYzlnuNVoiYo12vDX1lamXKhgMR+Li/R0EYJDYxAYEg0//wi89Q7Fm3ch8Hofgv+uv+QiCIMJI1UrOaFebVfUq+WKup3c0KO2K6wsTJAQlYRw/xiE+0cj3C8aVk5mxVbfUilixMfF83Vuk00rxMXFFfjZx4+f4NCBwwgJDkFGRgY6de5Y5HIp6BahKj9vvIx3Mal4Hg4cfaqNaqZ2qGdlgkoOMTC3CJUslqEwMEzQGGEjJmggrF1aQJOJ8rkC/0fb+GvJM1jNxyxJBDRuD6ExaPAgHDl0NMfk/+iRY2jStAmcncur7ThnTp3hgvrY8WP5/wu+n49mDVvAx9sHFStVLPL++bWjbt06am2HptOhYwesXLEKcXHxsLAw59tOnzyDNm1byyw8CaIovH8s8alnkwBVRQxxRgqubqyDWt1/hWMN9fmjE6Ufz/t+PFZjw241oKOngzvHniElMQ1GpopbiiVGvEFWlhjmDnWgZ2gBK+fmfNwjJLEiJCwWT5774ckLXzx7FQAfv3D4+kcgKTkt1/66Otow1NaBAXRgYqiPWpXLw62qA1wq2sHW2gw2VqZchLCxNuWiBXvNLCqYpUNqQgjeXl+BkJeHoKWjh/K1h6JC4ykwsala4u3W19eFm6sdX1o3c8/xXkaGCN5+EXj+yh/PXvrj6Us/XL7xEgeO3ZXt4+psg4Z1K6JRvYpoUNcNHTo2Q0xodrYudVMq77jMBIaRmprKo4VLYdG79fT0C/xsv/59+cI48O9BfDZxKs5ePM2fRKlabkkE3RJaoByhtDUtI1uFZYrsy4QovjiEGaOWWXVUNm4GXW1tGBimw9I24cOSyNeGxtkmWaWdTFEqUqOf8tfBPj6IT3GGJhPv7yd7bWTbiD+l0FRSY14hMyMBmRmJav3NZmYkIS3hPT4lBmaVoa1nUuD1qWH9xvh5+S+4eeUOnMtLvtcH9h3E8OEj1Ho+Htx7hAquFXKUaWdnjxuXb0NLpFvk/fNrx7Chw9V+LS7LvtIshSqLbeHj48OFihPHJff+nr16cJFi2Ihh2L/3X4wZMYZnJbl//wGePX2Gw8cPfuqqE4SM1PhAiDOS8Oa/hSRilDFevAmAkaE+Krvl70pYEF73/WBoagDXGk48SCSzxPDy8EW9jjknpQWREP6Cr80cavO1dYVWeHfjF6QmhMLQTDOtg+Lik3Hp2gtcufkKV26+hF9AZI7JeZWKjmjeuCoqutrB1dkWNhYm8L0XgOfn3wCpYlSu74zqbSqg3aAm0FbAWoJZu/je2wQfj008e4hro4lwazqj1J5fPT1duFdx4svgvs1yiD1PX/jh6Ut/PH7mg3sP3+HYmQeyzy39ph++EVJMDJZdhMGsKczcs81QQkNC0bZ9dvCrwhg6bAgWL1iCO7fvchFD1XJLIuiW0ALlCKatH8wrnEz10bh5LZy98hQicSbC0pL5cks7GO6mVqhpZo20VBuEBWYHlzW3NYGzuwNcqjvCuboDnN3tYWqZO2VwaSAp+j1u/dWav3YoZwe7Kprdt8Hp1gj98LrZ8L+hb6y5QYHv7x2AmMC7/Luszt9sbNADeJyejE9J01EnYVm+eoHXJze4oG27NvB4cBetO8ziE9bw8HCMnTQqz/Tcb16/wcC+g/M95toNa9Cte9dc27V0gHJOTjnOsZW1JYzMDPI878run1872ndoL4xrsYLcvnmbZzYzNTXjcbUunLvIt7M+YyKGoaEBDh07gN3/7MHjx0/hVM4Jp8+f5FYxBKFOimSdyS4QfJKhXLA/4tNy/OwDjJ62mbsMnNw7G22a574/FYb/yxC41S4HHV1tVKxbHoYm+nh121spESM+7AUP6GliLXHHt3ZtxdcxAbfhVHMgNIW0tAycvvgEB0/cxYUrz5CWJoKxkT5aNXPH5NEduDVB3Vqu3HpCCpu4Pzj7CufW3OQPsqs3c0PXCS241RQbOygiYMQG3ceLs7OQHP0edpW7olr7RTCxkZzrsoSWlhbKOVrxpUdnSdpxRkhoDB4988XDZz6o4158DzVLpYhRt35d7vLBBg/V3KvxbY8fPUFoaCjatW8n2+/h/YcwMTVB9RrVkZiYCCMjI+jo6ORIp8qsLKSZSRQt92Mo6BahKtLwOFZGOti3/SuER8Zjz8Gb2L7nKnz8I3iE4WfxkXypZG2NavrmcDUwhY6WNuIjk/Aq0psHB5Ji5WjOxQwmbkiEDQcYm5WumAy5clBrIJrfwrwQZqsZg4cO5lYMs2b/j7tkdO/RLU8Bg8HuLfef3Mu3LEPDvH+vLD5TYmJOyz52X2Pb1bF/fu0wNiqdwuinYv6ieYXuw/p+6udTSqQ+hHCRi6+nNFpa2kUvhChRMjMzseCnA/ypP5tMz126D7fOLOETRUVhbiORgbGo30kiWOjq6aBakwrwvOfHs2SwWAaKWmKY2dWUxTczd6wPHT1jRPvd0ggRIyw8Dn/uuoxte64iIjKeu3eMGtwaA3o1QcsmVWFgkG2tL09EQAwOr76E948DUb6aPUYs7I4qjVyVcvN6d+Nn+D34EwYm9qg/YCfsq3aDpuHkaIVebOnaoFit7kuliMFcPebOn4PFC5dwRcvWzhYb1m1E957d0KhxQ9l+C+d/j5q1auLXdavg6+OL+XMXoG//vnBxdeEBy3Zu/xsNGjZA1+5dlCqXINTGh/GDFiQ3Dntbc8z6vCdmTu3OTdb+2n0FZy4+gVicCe/oaHgjGrZWpujapCYaODkiLTgZId6R3LydwVIyseX5tXeyQ9iUt5CIGtxqw4FfWA1NVIuSrzpyN0YhDJrk26gpwUzyQ9o+Nfcri3rOLCE+JawOisDSdM//bgHu3LqDk8dP4beNa/Pd18vTSyVLjMpVKuPMqey0nHGxcdxKsGq1vJ/OKLu/su0gCKLsIp18srgGRNng7oN38A2IwKaVE3gmiVkLduH6nTdo17KGwmUEv4vgazYOlOLe1I0H+AzyDINLjcJdFbIyxUiIeIVytYbItmnr6MHSuRmiA26hLMMsBFZuPIWd+67xjB0dWtfE1PGd0K1DXe4ukR9sDH513wNc3HmXW8n0m9keLfvXU8jqQkpS1Ds8PTEViezc1h4G945LoGdIGYg0TsRgjBg1HA4O9twf9emTp5gwaTzGjBudY5/GTRrB1VWigNWuUxvrN/2G/fv+xX2P+7C2tsasb2aid9/eOYJtKVIuQaidj+a52tra6NS2Nl9YJGB2Qd257zp/HRmTiL0XPLBPSwtdO9TBuG/boo6LE0LeRSDQMwwBb8IQ5huFrEzJpDIqKI4vTy97ycq3c7WSiBpM3KjhgPJV7KFvpFd8zdP0iXwBSAUqzaV42qdrYArL8o1RFmCpM3v36cWFcpaFomXr/NPMqWqJwWIurP7lV5w9fRYdOnXE2l/XcTdIqdXgu7fv0Ldnf9x9eBvm5uaF7q9oO/zfBSl1LgiCKAN8uCeTO0nZ4fjZh9DT00Hf7o34RHn+j/9i/5HbSokYQV7huUWMZhJXtzf3fBUSMZJi3iMzIwXm9pJ4GFKsXVvz4J4pcWUvnh1LI7pq40n8sfM/LhCNGNgSM6f2QE33woNasxSi+346C++nQajRoiIGft0Jlg7KZdwIfnkIry/M5fHT6vX/Cw7VehWhNUSpFzEYHTt35Et+/Lj8hxz/M5/U7+bPLXK5BKEuFHl2zXzJ5s/qjzlf9sG5y0+xbfdVHlyI+d2dv/yML87lrDFhZDuMm9AWjg6WSE/J4Io7FzU8wxD4JgwR/tGyh+UR/jF8eXzxDf9fS1sLDhWsZS4ozGLDqbId9AyK4xIgAEsMQbTxY4TY5mwGDRmEPbv24vMZ07gImR/svfxcTQqiXPlyWLdhDb5fuATTp33JU4Fv2Pyb7H2xWIzk5GTZb7yw/YvaDoIgPg3qeCig+eK65nHbwwuN6laElaXk/tGne0MeIHHNT2N4oE9FCPIKg7GFISztsyfZFnamcKpsy0WMLuObF1pGQpg0qGedHNttKrTCWwDRfjcBQ0kMtNIOG0fvO3wbC5Yf4G4jA3s3wYKvB/DglIrw/NpbHFx5kQdIHfhNJ562VpnfJwve+ebiAgQ938tdcur2/QPGloq7nxBlWMQgiDLPhxmHIpc8ljO6d9eGfGGpnJh1xt//3kBkVAICg6Px4+qjWL72OH9/8uj2aNeqBtzqlJN9PjUpDUFvI7igwcQNto4MipVUIzMLoT5RfGEBiRjMDM6xkk0OVxTHSrbch1J5tIQ12RWiO4nAadioAV56PefWDMVF957d+cLSg8tn0GJUrVaVH19eIClo/0/ZDoIgSglCcO/UAJJT0vD8dQC+mNhZtm1ov+Y8fSULONmvR2OFLTHKV7XPNdFmwSev7n+IpLgUmFgYFRrUU0tLB6Z2Od0tzexrQ8/IClG+12FevfSLGG/eBuOreX9zcahebVf8+9dXaNqwskKfFYvEOLnpOs/swgSgUYt7wsFNuQDuaUkReHJ0IuKCH8C10Weo1n4htHUUE6MIxSARgyBKAiXngRUr2GPpd0O4hcaJ84+wbfcV3LzryWNnsOjVbKnsZo+Jo9pj1JDWPA81i4PBUjyxRUpyQiq/qUmFDeaKwmJqSH38gt9G8MXjlER5ZznF2QVb5opS3YFfuFmU64LbJ+SJrma3nZ7oZaOKhYUq5CVIFGThoaiAUdLtIAji0yCEANuaxONnfhCJxGjSIHuS3bFNLVhZmODwSQ+FRAxmoRvuH4OarXJP1N2bV8SVvQ/w9oG/LOhnQUE9TWyqQkfXMFecFZsKbRHldw1m7t+hNAdI3bz9Ihb/cggG+npY/cMofDamI3fRUYSk2BTsWnwa7x8HcMuLvl+2V9pqmQlBT46MQ3pyFGr32oBytfKPk0WoDokYBFGMZBVxmssiJA/p24wvTFVmWU32HrqF2PhkvPcNx4JlB7B01REM6NUYk0Z1QIsmVXMo8CxzSdVGrnyRv0AHekksNaSuKHERifw9cYZYIni8CcPdD/vr6utwZV/eFcXOxeqjgEZaOcz3BDVA1HQBR+pbTYNigiCIsoHsPqz592NNwOORJFh7s0bZgZn19XW5S8nB4/eQmJQKU5OCM9ExF2NmdSsfD0OKW20nGBjr481dnwJFDDZ+Y+4ktpU75fm+tVtbhL45jrQ4TwAVUNrwC4jE1G/+4g/9mAj0++qJKO9krfDng99HYOe8E3xMzNxHWvSrq3Qdwt+exbNT06GrZ4LGww+VmdhfZRESMQiiBFDHNLd61XJYuWQklswdhCOn7nPrjPuPvZGeLsK/R+/yhQUpmjS6A4YPaAEL87xTJ5pYGvFo1WyRwnJdM1/KADmLjcToZP4e8wX0exnCFyksSKhU2GAWGzblxHzMJJnvCmDQJAChJhdCbDNBEIQSPH7mCxtrU7g62xb9vNE1VzB4PH6P8k5WPEaaPIP7NMM//97A2f+e8odZygb1lKKjq8MfZnneLzjVampCEDJSY3IF9ZRi49aWr5PDWfDq3Fm2PiUHjt3BzPn/cIvltcvGYPLoDkrFr2AZXPYvPwd9Qz1MXTcIleplWzUrAhOAor12wuvVZpjZ10L9gTthZK5cGYRykIhBEMWIbNqnxof1xkYGGD2kNV+evvDjea7/PXoHSclpeOUZhG8W7cai5Qe4PyUTNBrUzRYr8sPcxgTmLSqhRotKknpnZXElWhpbg1tseIYhOS5VZrbo8yyIL1J0dWfC1v49avUUQkq3LAG5W0jbRyIGQRBEQbTpvZSvE/13fNITJQSLSE2B9ZXHw/do2TR3Zqm2LavD1saMu5QUKmK8DYehqQFsylnk+X715m54ceMdgt+Gc6taZYJ6SmGTchPrKkjiIkbpIDU1A98u2YMde6+hUb2K2LZ+CqpULDwLixQm6lzccQeX/r7HBaBxy/rAysFcqTqwAJ6vzn2DyFdHYF+1B3ch0dUnt83ihkQMgijD1KtdAetXjMNP84fi32N38NeuK3j5JhDJKenYuf86XxrWdeNixuC+zWBirFgwP6Zes+jWbKndporsRsviaeQUNsKRmpjG3xeJDBAaXBNB71JRPm8RX0PRbBFD071lCIIgNO7im5WpzpoQxYh/YBTCIuLQrFHlPAO+s3gYuw7cQFx8cr4WtoxAHtTTLl/rA6n1rec933xFDBbLgcEsCfLDpmI7+D/6Gxlp8dAzUG6yr27e+4ZhzOeb8eylP76Y2IWPhZkbjqKwgPj7fjqHV7e8Ub+zO4bM6cItMZQhLTEcT45OQFzII1hXm4B6/X6ClhZl/ioJ6CwTRHGSVTJP683NjHjgorvnf8B/Rxdg5KCWMPgQiOjRM19Mn7MD1ZrOwuzv93BrDVVgN0ZrJwvUbV8NPae1wdS1g7H01OeYu3cCen5WT7ZfRroABk+CfMolxDYTBEGUxfsMXa/LkisJQz6opzyD+jTlbsOnLzzOt4yMNBHCfKK4m29+WDqYwaGiDTw9fAsM6mlk4Qo9w7ytORj2VXoAWSJEvruITwlzq27dcwl8/SOwe8t07m6tjIARGRiLjZ/vx+vb3ug5rTVGLuqhtIARH/Ycd3f1QEL4S9TpvQm2NT8nAaMEIRGDIEoisGcJPc1mQgMLDLV17Wd4e38tfv5+OKpWkpjVxcWnYMvOS2jaZSG6Dl7B/QfT0jKKdDzmV2nrbIkqjRXLua0pCCqwp1SAozExQRBEiV1y1eFOQgGZSz8eD9/xyXf92nkHymzVtBoc7S1x6GT+LhyhPpE841x+FhbyqVZZfDOWuS4vEsKew8yhYFNaS5dm0NG3RJjXaXwK2LiVPZAb+8VmVHKzx83TS9C/p3LBMz09/LB+yl7ERSZhws/90WFkE6XiZzBY+z329kNWpgiNRxyBU82BSraEKCokYhCEhmJtaYoZk7vh0ZXlOL1/Dgb2bsJNExksb/bEr7aiWrOvsXDZAW6SVxS05UddgpvsariIofEiDUEQhKYhuBtxmcXj0XvUq+XKs9HlBUsNyjLQXb7xClExkkxyH8Nce/ML6ilPrdaVkSnOwotrkmwo8rB0oKkJwTDPJx6GFG1tXZg4tUOkzxWI0iUB4EuKwOAodB/6M38gN3lMB/x3ZCEXMpQR964feIRtc47C1NoYX24ZjhotKipVB1aG9+21eHpsMkysKqP5mDOwLNdQhdYQRYVEDILQcJi63K5lDfyz+Qt43v0Vi+cMgquzDX8vKjoR6/44i3ptv0PfUatx/OwDZGSIVDmIsAKKybVR8+f4FNiTIAiiTN6jhHA/LsOkpKbj6Ut/NG2YnVo1P5cSkUiMk+ce5puZhGWNY5axBVGhdjlYOZrj4YXXebqSFBTUUx6zch2RKUpF5PuScym5cvMVWvVcwuO+bfttCtYtGwtDJdw/mMvNv8vP4+TGazw+yJdbRsDeVfH0qwxxRgqen/wC726uhH21Xmgy8jgMzcur0BpCHZCIQRDFiHT8UFomug72Fvh2Rm88v7ESh3f+Dz0715el2rp84yVGTd2Emi2/xU+/HuWKt8LkaB8NmjQT4fWr5xtPtGnRDomJuZ9+TZ/2Jbb/pd4MBM+ePsPIoaPQrlUHzPrya0RHR6u8v5+vH5o3aplj2bFtZ6loJ0EQxY3wrtdlkSfP/bg40bRh3vEwpLD3nctZ49AJj3wzk5SrYgdtnYKndWy817BLdXg/CURMWHyu+A4Mc4e6hdbb2K4J9E3sEPRiP4qbzMxMrN54Cv1Gr4aluTEuH1+IYQNaKFVGbHgCNn95AA/Pv0aHkY0xYUVfGJkqFuheSmpCKO7vG4jQN8dQqeXXqNdvK3T18w+0ShQ/JGIQhABh5ondOtbDge0z8fLWKsyd2Zf7XDJCwmLx828nuJgxbNJvuHDlGc+7XRA5fAkFN3YqJQpVMaGsn6gm4V7dHfr6+jhz6kyO7eFh4Th35hw6duqgtmPFxsRi7MjxaNmqJX7fuhmJSUn435dfq7x/hkiElNQUHD15WLYMGTb4k7eTIAjFKFJYT8pOUia4/yGoZ2Eihra2NrfGuH7nNc9kIo9YJEbI+0g4F+JKIqVBl+p8/ejCmxzb40Ofw8DUEQYmdoWWoaWti3K1hiDK5xpS4gNRXMTGJWPEZxuwZOVh/tDt+qnFqF3dRakyfJ4F4bfP9iLMNwqjl/TkgekLE3s+Ji7kCe7t6oHEyDeo22cLqrT+lgJ4lgJIxCCIYkQaVKs0TwNdyttg0TcD8PrOKh7huUPrmrLc2acvPsHAcWtRt+1croR/fPPMRs6dRAAqhhADewrCTSgPBg4egMOHjubYduzocdRvUB9uFSUp69TB6VNn4OjkgBkzp6NmrRr4cdlS3Lh2AwH+ASrvr62lDadyTrLF1NT0k7eTIAiCkHDv4Xs4OVhyK4vCGNS7KR+XHT6Z0xojzDca4gxxofEwpDi42cC1lhPunngGsSj7AVV82DOFXEmklK8znI+Ggp8fKJbufPE6AO36LMXZ/55i6dzB2Lt1RoEpZvPizvFn+ON/h6BnoIsZm4ejXkd3pesR8voY7u8bwF83GXEUjjX6KV0GUTwonouGIAjVKQMTXT09XR7hmS3vfEKxY+817DpwE9ExifALiORK+LK1x9C3eyNMGt0BbZq7yz2llxMxMgUw2RXkhF69bU5NTkeodyQ+JY6VbGForF/gPgMHDcDa1esQGBgEZ2eJ7+uRQ0cxdvwYtdbl9avXqFc/O1Wxo5MjypVzwsuXr+Di6qLS/sw9pEuHbtzKok271vhy5gyYmJh80nYSBFH8CFV0Lmt95PHoHZo0rKyQxWODum6oW8sVW3ZcwtRxnbhFrTQeBqN8tYIzk8jTelB97P3hLF7deo867aoiIzUOKbG+SmXYMLGpCkvnZgh8ugsVm8+Atk7B91Jl2H/kNr787m+YmBjg+O7ZsodriiLKEOPYuiu4d/I5qjR0weglvWBiaaRUGZniDHhd/QH+D/+CuWM91B+wA4ZmwsrEV9ohEYMgBBQTQ1GqVHTEsgXDsOibgTzY51+7r+DO/bfIyBDzpwBsqVrZEZNHdcCIwS2h9SGuhnCQC+xZqu1s1EHxtI8JGJu++Befkumbh8GtdrkC92EWDC1aNsfRQ0fx5f9mcPHA29sbvfr0ynP/t15vMWbEuHzLW7FyGTrk4Z6RkJAAe/ucT9LMzM2REJ+QZzmF7e/mVgHXb1/lA2V//wAs+2EZAvwCsOmPjWppJ0EQxYN67ikkYpR2AoOjuftus0JcSaQwoePLyd3w2aw/cebSE/Tp1lAmYujq68C+guJBKplwYW5zHTcPPeavE8Jf8u2FZSb5GLcmn+PJ0fEIeXXkg2VG0QOdzl26D9v3XEWTBpW4dXB5J+WCb0aHxGH3kjMIeB2KNkMaoNfnbaGjq610/ItnJ6YgNug+nOuNhnunH6Gja6hka4jihkQMgiDyhUV+ZgGU2PLSM5DfWPYdvo34hBS8fR+KuT/sw+JfDqFn+xrISk2Cg4EAgxyVNYVKWTS9fQowaMhArF+7gU/umXVCl65dYGFhnue+zPWCxZ/IDysrqzy3GxoaIikpKcc29r+RkZFK++vq6nJhglGufDmsWrMSPbv2RkpKSr5lKtNOgiCKB7W4ZJIlRqnn7kNJmtNmjQrOTCIPi4vx/c8Hsf6Pc+jdtQEXNgI8w+BU2U6pibqung5aDqiHc3/dhu/zYCD1mUoihl2VLtwiw/feJpSrPbRIcSJeewVh3PTf8cozCNPGd8ayBUPzTTubHy9uvMeBFed5HLeRi3rI4n8oQ7T/bTw7OQ2itATU6rFWLeIMUTyQiEEQJYAmTANruTvj1x9Gc9/EQyfu4a9dV/DkhR9S0zJw5LzkBuhoYIxOyXlP0jQJUXom3nm2RqZYF3aX38KlZnnYlLPQ7CCYah4UM1cOZgnxKWF1UIRuPbph4bzv8eD+Axw/dgK/rFqR776+Pr4qWWJUrlIZly5cymFpERYahkqVK+VZjrL7m5mb8Sjvaalp+YoYyrSTIIjSDFlilHbuPXgHfX1d1K+teMwhtv/0SV2xcPkBXLnxCm2bu3NLjBZ9lRMfGC0H1sf1A49wfttttOj4FHrGNjAwK9gy8WOYaOHWdDpenv0fQl8fh1NNSewIZWDWgrsO3MA3i/bA0EAP+//6Er27SqxMFIUFNz2z5SZvj2NFG4z5obdSlim8Hpli+NzbgPc3V/O0qQ0H71Fa1CFKFhIxCKIkhhEaNLc1NTHE+BHt+PLoqQ+27bmCf4/eQWqaCKFpyXgdEIse0Gz83mTA521LyesfL/C1kZkBnN0d+OJS3QHO1R1gaW9W5oWNbNNm9Q6KWSyKwlw5Sgts0t+zdw8s+G4hFwLatm+b776qWmJ079ENq1f+ils3bqFl65bYsukPVHCrwIN2Mt6/88aoYaNx8ep5mJmZFbr/wX8PoVKlimjYuCFSU1Ox+udfUa9+XVhaWaqlnQRBlF53EspOUvph8TAa1KnALV6VYcq4jti07QK3gv3n58k8qGcFFe6lLMVo+xGNceaPm7CzDEDFuo1VGq841RoEX49NeHt9Oeyr9VDK7YJZ9c6c/zcOHr+HFo2rYvuGqTzYvDJEBsZi37Jz8H8Zgqa9aqPfzPbQV/KcsgwrL059iZjAu7Cv2p1bYOgZ5n+vJEoHJGIQRAlQtqex+dOwXkW+DOlSC70nbeHbRGLNfwKUnpp7W0pCGt4+8OeLFBZIyoUJG0zU+LC2sM0/Q0SppIyLMOpi0JBBOLD/ICZPmQQdHZ1899PT05O5cSiDawVXLP95GaZ99jk3hbW3t8Pvf26WvS8SZSA0NJRHp1dk/0aNG2LBd4vw4sULpKWloUmTxli/6Te1tZMgiFKdYzXnmihVJCWn4elLf0yf1EXpzxobGeC7mX0xc/4/2LX3Ot9WoZZqASdbDayPG4ce4tn9uqjb2VGlMrS1dVGt/fd4fHgMD4JZsdkMhT539dYrfD57O48NMuerPpj/v37Q1dVRyoLj7onnOLnpGrS1tDBsfjc07q5cAFBG6JuTeHX+W2SK01Cz60qUrze6zD98EgokYhAEUWQMDeUuJUIYNMm18YsNgxEdlojAN2EI9Azjpp0ZaSL+XlJsCt7c8+WLFHMbE5mgIbXaMLUqC7FEBNCvBdC0WRPcuX8rX0sKdTB46CD0G9AX8fHxsLa2zjGQYu4j7Pjm5mYK7c/cSvYd3MPjZLDsJExcKS3tJAiiuBH29bq08+iZDxefmzZUPB6GPGOHtcEff/+HLUeuY3zV2rB0yL4vKIO+kR7aD7HAyS128HxSDlVaq1QMbCt1gk3F9nh/61fYV+0BE+v8g5Ump6Th+xWHsGXnJVRwscWZf+egTXPlYlfERybi4MpLeHPXBxXrlsfw+d1gXc5CqTLSk6PgeXkxQl4dhpl9bdTpswmmNtWUKoP4tJCIQRAlkp1Es1Vd+fZlCSzwmp2rFSrWc0GjrhIzfpZ3PcI/mgfbkgobwe8iIEoX8/fjo5Lw6rY3X6QwtxN5YcPZ3R4mFsqlAyt+hNCzBX/HVbGwUBYmNtjY5DanlQ/Uqcj+UvJLqfqp20kQRPGnWFVLkFCiWOJhMBTNTPIxenq62PDzeHQasAwPUyKLNMa0d/SCrX0kbh7TQcMekXCqrFisKHnY8Wt2W4Xb2zvg5dlZaDLiKLS0c1tV3H3wFtO+2YZ3PmGYMLIdli8cBjNTI6W+1w/PvcLJzdeRlpyBntNao92wRtD+kG5W0TLCPE/i9aX5yEiJ4TE9qrT+Ftq6BgqXQZQOSMQgCEKtPrxZH8zdNRq5Jmpp57x5sgjhLGAkW5r0qCULOhXqE8UFjYDXEmEj5H0kMsWZ/P3Y8AS+vLghGdgwrJ3M4VLdUSZslK9mz31YSxpNF+AIgiAIoiS59/Adt0JwclTd4s3d2QG1zWxw660vTpx7iL7dG6lUTnzIQzTuCFw/WxO7l5zGzK0juYWGshiZO8O9wxK8Oj8bb2/8jGrtFsjei45NxOKfD2HH3mtwtLfEkb9noWuHukqVH+4fjSO//of3jwP5g54h33VFucp2Sse+8PxvEcLfnoOpXU00HLQbFk71lSqDKD2QiEEQJYCmTwO1tIVliZGjkQpM8nV0dVC+qj1fmvWWRLtmLieh3pE5LDbCfKOQ+SGmSHRIPF+eXvGSlWPnYiVnsSEpz8BYH8WLlmC8hAiCIDQDumCXVljQZCZidGpXu0jl+L0MRgsrJ2TY6uHz2dtQu7oLKrnZK1cXURriQ5+hfN2RGN6gG7bPPY79y89h9JJeSlk3SGHlxAZ5wPfeRpjZ1YRjjf7Yf+QO5v20H1HRifhsbEcs/nYQLC0Ud6FNS07H1X0PcGXvA+jqaqPfV+15elhl6ifOSIGvx2b43NvIg95Wbv0tj92hrVPc4yeiOCERgyCKEU3MTlKoO4kAxk7qMNHVM9CFSw1HvkhJT83grieBcsJGuF+07JxGBMTw5fGlN/x/dtpZGjF5VxQmbLCy1Y8AOpYgCEIDoOwkpZeXbwIRHZukdByIj/F+GgQDAz3s3jQdnQYtx8Bxa3Dh8HzY25orXEZ82HMe0NKyXCM41aqEbpNa8pSrJzZe42KBspaYbP8aXX9BYtRbHNm+CAdf38GD5xGoV9sVh3b8D43r550CPC+YpeqDs694fZgbbu02VXjmEeZ+q8zvIOzNSXhd+xGp8UGwq9IN7h0Ww9iqolLtIkonpV7EiI6ORkpKCsqVK6fwjyksNAxm5mYwNs6t9AUGBvF0c/KYm5nB3kE59ZIglEHDNQzoyLtUCEDFkG8ii4qtLlhaMJZ2VD71aGpyOoK9wiUWGx/EDZZSTFqPMN9ovjw8/1pSHx0tOLjZfHBFsefChlMlW+jqq3i5l7VP8/uVIAjik6OOWwplJym1XL8teQjRrpUkjpaqvH8SyLOS1KjujH1/fokBY9dg4Ng1OLF3NqwtFcuCFh1wm6+tXFvwdaexTREflYhbh59wq9D+M9srbZHhFxiPjTe74tjZpzA1DMb30xvj62++VDjzCMvA9eqWNy5sv83dbtmDmRELu6NKI1el4l6Evz2L97dWIzHiNUysq6DhkL2wrdhBqbYQpZtSK2LERMfgq+kzce+eBwwNDWFpaYl1G9aiYaMGee6fnJyMLZv/wJ5/9kJXTxdxsXF8359XreCp6KR8/tnnCA4KgYVldhTbbj26Yu68OSXSLoLQSOQm8pIoDwKimGNGGBrro1J9Z75ISUlI5VlQ5IUN5nrCYAMPduNni8fp7DgdLFiXvMWGY0Ub7uZSOJouwREEQZTe4JwqflqNNSHUyfU7r1HeyQqVKqj+8DQxJhlhPlHoMqE5/79dyxrYsWEqxk3fgq6DVuDYrq/hXC7/gM9SYvxvwdiyIgzNJA9O2MPi/v/rCG1tbdw68oRnARk2ryuMzAwLLeu9bxjWbD6NvYdvQ1tbC19Nbo8O9nuRFf8L/O5lolKLmXkG+5S3vHh29S3+2+XBXW2ZxQVLm9qwaw1eniJkijMQ5nmKu44khL+AoYULanVfA6faQ3gqWEKzKLU9Omf2d4iJicWDJx4wNTXFkkVLMWXiFFy9dYX//zEB/gE8p/2lqxdgZW2FhIQEfDFlOqZO/hxnL34YyX9g0pSJ+GLG5yXYGkKoCCU7SY55riACe37aNrIBBXsqIf9kIikuBYGe4TlcUViwUGnGFMl74cCJ53ybrr4OylWxkwkbLu4O3DUl36cuArCwIQiC0CwBhK7bpQmWVvXmPU/07NygSOPC948D+LpyAxfZtn49GuPg9pkYPW0T2vT+AX+unYzO7SQxuPIiU5yOmEAPlKs1OMd2Jhgwtw1zWxOc++s21k7aw4UM+WPJ8+S5L37beg6HT3pAR0cbowa1wpyv+sDV2Rai9CF4ceYrvL+1ClG+V1Gr+68wsama4/MsFb3HmRe4e+I5ooPjeKrUwXM6o1G3mtDVU8x6Iy0xHMEv/oX/ox1ISwyBobkzd2spX2c4xb3QYEqliBEeFo5LFy7h962bYG4u8e36evYs7N29D+fOnMfgoYNyfca9ujtfpJiZmWHchHGYPOEz7pJibW0te0+UIeKih529PQwNKaUOUZxIBhAaLmFAWyt74iuElG7y8/nSok+xlKzuTSvwRQrzIw3yCkPAB1GDrROjk/l7LOWr/6tQvkjRM9Tlppvywobmf3sJgiBKH0V7+KH59+GyyNMXfoiLT0HbltWL7ErCHkRUqJkdU4vRpX0dXDw8H+Om/47+Y9bwNKbffzsQdja542TEBT9CpigVVq6t8vzudRzdFBVql8O+H89iy8xDqNuhKrpOaMHdVVNS07HrwA1s230VD554w9BAD1PHdcLMqd1zWIDo6hujXr8/EfRsLzwvL+YpWMvVGQ7nBp8jwCsLTy978axsbDziWtMRXSe2QP2O7tx6tDAyUuMQ+f4Sgl8dQpTvdZYaD5bOzVC984889gVZXmg+pVLEeP7sOVeRGzTMdh2xtLJE5SqV8OL5izxFjLx4+/Ytj4thYZHtOsJYt+Y3LohERUWhecvmWP7zT3BxzVthJAi1oOnzQPnsJEIbO5UWFSMPzG1MYN6iEmq0kATTYtfV+MgkmaghETZCkRwniROUkSqC7/NgvkjR03eHmbkxajeTPPkhCIIgSrk7ieBuxGWD63ck8TDatihiPIxHgTx2Vl6xrurWcsWN04uxYNkBbN9zFUdOeWDKuE6YMqZjjpSu0f6SeBjWLi3zPU7l+s74dtc4XN7tgUv7HuDYqQcIN8zA67BwpKaLuEvMT/OHYvTQ1rC1zjvgJhNEWNYSLYPGuHdkD87uCEfkyoMQiwygb6iFuu0qoPWQFjyOV0FkpMbyQKRMfIn0uYK4oAfIyhLDwMQBFRpP4RYlZvaStPaEMCiVIgZzI2EwtxB5rKysuVWFIrx/543NGzZj8pRJ3M1EysDBA/H3np3cMiMyMhLTp33JrTVOnj0Bff28U+2kJKfw4KJSYj/UjyAKQyjDCHUGtywblM2eZYMJCztTvtRuU1k2UI4NS5Cz1gjlbiepiWn8/Yx0HURHuuH9S+Xzxpd1vDy9eGymIycO5woU/e3Xc1C7Tm2MmzBWbcd78/oNVq9cg6DAIB7Tae78OTJrxI8JCgrCmBHjZP/v2vc3ypcvr3Q7fvnlZzRv3Uyt7SAIIVK0GBZ5FViEj2YJLjpVmeDa7deo4GLLF1VhcSrC/aNRv0u29fnHmJoY4rflYzF5dHss/uUQVm04hbW/n0Wb5u7o2aUBWjSugmTvWzCxqQYDU/s8v8sBQVE8k8rDpz5cfLnv9x4ZIjEMdHTgZmiOqtZWaFTRFY7R2nh07AXMbEygp6/DH+ywFPKJscn8oQmL3RHqE4mUBDamsIKJhSMq1k6GldllmJs+hraOGO8uWCHkUTUYmjpC19AC2jp6yBSlQ5SeiNSEYKTGB/LsIlJYvV0bfwbbSh25CFNQrA1CcymVIoZUdMjIyMghLKSnp0NXp/AqBwcFY9zo8WjRqiVmfv1VjvcmTBove21ra4ulPy5G98498fzpczRq0ijP8s6duoBjB0/m2h7gHcLNtdUFC2rj6yWMp51CaisjK1Oz2xsWGC57nZKUqtFtZSTFM5cMiSua/7sg6BuWykupUpiXM0TNchVQs0MFPoCJC09ChF8Mbu67juQEA4hEOhrfrx9fn/S1jJAQn4hd2/agW7fusvdjYmJw5NBR9O7RR23nJDExEWPGjkaPHj3Rr3d//PPP3/h80nQsW7Y8z/1FIhEWf7+Eu0dOmjwRPl7+yEjKe+JSUDsuXLyA4cOHq7Vv3aqRZSMhPFhWBXUiBNdMIcFcMG7ceYORg3O7byiD130/vq6qQLaOOjVdceTvr+H5LgQ7913DiXMP8e3iPfw9XW1T2FlZweXkTzAylMy1UtPSERGZgNDwWCSnpMvKqVXdGZPHdECntrXRvmUNPPrvBWKDkhHwOhSvb3sjOT5n1kcp+kZ6sHe1Qq3WlbmrKour4VDRhsfdyMr6BokRrxDld4NnEEmM9EJs8APuJpKVKYK2jgF09Ix40FELpwYoV3s4zB3rwsKxHgxMmasrIXRK5cjbqZyTLDZGxUrZuXwjIiLQvEWzAj8bEhyCEUNHoXp1d2z8fX0OK4y8KFdeEpE3KDgYjZC3iNG9d1e069QmhyXG0nnL4VLJCdY22bE2igobRApl8CektjJYsERNbm+SnKWSgZGBRreV8cLUSJaHxa2qM79RaxzsIU8b4MmZK0iWxAfV+H7N6/o0bMRQXL95DVO//Ez2/uW/LqF23dpo1yX7vlBU/t33L2xsbbB81Y/8/4bN66F1s7bQM9HO18KiSs2KSE2VWMw4uznBrWL+/ZNfO6pVrabWdhCEUMnMVI/1g9SwMasoogilWC11MAEjNS0D3TrULVI5b+76wtjCEK41Cna/kMe9ihNWLBqO5QuHcUHj6sWTuHZ2P8SWbRGTrI3EJIkIoa+ni9o1XdCxbS1Uq+yEmu7lUbuGSy5XkXLV7NCyd/b9Jj01gz/UFWeI+f8sXoeZlUmBYyNmGcrcP8gFhNAoEaNe/brc5PXa1esyEePdu/c8GCeLYSElICAQBvr6sHeQmEKFhoRixJCRqFKlMjZv3ZTLPYRZdujp5fxBedy9z9eV5MSSjzEyNuILQSiLULKTaMkF9hScL66WQJqn5m5NSEzBK89s89BPARugmXFBKn8GDhmI39au5wK5VGBnVhhDh+eM6F5UXjx/iQYN68v+Z8KFo6MjXr54la+IoQz5taNr125FLpsgiGKwxCiKhkFWHKWOC1eeQ19fF+1aqR4Pg2UaY5YY7s3d8s8kVgBsLFq9ajlk+vigSnsfdPjqNHT0croYqoK+oR5sy1sWuRyCKPMihpGRET6fPg2/rlrDLR2Y28fyH1egSdPGaNO2tWy/KROnomatmvh13SoepHPk0FEwMTXF7LnfwN8/2zTWxcUZBgYGfDC49td1GDFyGJxdnPHyxUus+nk1unbvyn2bCaK40PB5LrRyBPbUfBFDCG38GHW3mAkYnQYsw6fkv6ML0KxRlQL3cXYujyZNm+DokWM8Nfdbr7c8xkSfvn3y3J8J7uzelB9LflyMtu1yWz7Ex8fD3j6nb7KFpQXiYuOgDvJrx7If83ZXIQhCOTLVfl/IKvJnScwoPWOG85efolXTajxehar4vw5BSmIaqjevWKS6RHr/ByvXlmoRMAjiU1EqRQzGjJnTYWFpjn92/IOUlFQ0a94UM7+emeOJNssoYu9gx197v/fmNngsACcL1inP1u1/cOuM+g3qcXFk9z974OvjCwcHe8yeOxtDhqn3iRpBfDwE0XBDjByWGEKY3udMsarpnfupK/DpGTRkILZu+ZNP/o8cPoqOnTvkCjwtL5qze05+ODrm7cvLhPbkZEn6Wynsf0ND1Qe8irTj4+xdBEGUEkuMoninCFBoL8288wmDj38Epo7vVKRyPO/68vGkfCp1ZUmK8uKBMt2aTCtSXQjiU1NqRQw2MRg7fixf8mPrti2y1+wJ0+Xrlwotl8XUKCyuBkEQyiE/j6eg6BqGtG+z1O/KwSwhPiWsDorQs3cPLF64BE8eP8XxI8ex5Kcl+e7L3BxVscRgrpPXr96Q/Z+UlITQ0FBUrKz6E7eitIMgiE8TE0MdFn+UnaR0ceHKM77u0r7o8TCc3R1gaqm6BUWk92W+Zpk9CKIsU2pFDILQJDT9YbacN4lAoKdcRYXFoijMlaO0YGJigu49umHhvEU8kGaHju3z3VdVS4xu3btyd8dHDx/z9Ko7/tqJ8uXKoVatmvx9H28fTBr/GU6cOQZTU1O1tSPIJ1SlsgiCKO6YGEV3JyFKB2cuPoGbix2qVVY8GOfHxIYnIOhtOLqMz44NqAoR7y/B2KoyjK3UJ5ATxKeARAyCKEZkwwgNdznQ0pZzJxGCGWsOdxJoNBrePIUZPHQQRg4bjfGTxucKEP2xWwhzX1SWSpUrYdH3CzBq2Gge2JodY8tfv8vclViKceY2KRZnP+1l6cHT0yTZScaOGg9dXV0cPXkEFhbmRW4HQRCfVsQoWkiMDx8Wwv24lBMZnYCb9zwxfVKXIrmfvrjxjq9rt1Nd/E9PjkRs4D24Ns7OUkUQZRUSMQiCUG9gTwGczxzjQoGoGELo14Jo0aoFLl27yGMpFRdjxo/BoKGDEBUZxTOIMFFC3t2EHd/MLNsKY/MfG3MFEzQ1Nfnk7SAIIaKuwJ7Z+kMR3EkEf8UuPZy5+JiLz/16NC5SOc+vveMZQJwq2apcRvjb88jKEsPBvXeR6kIQpQESMQiiOJGmWNXws6wtH9hTEE9+sgTQqx8hhG4tAPYETRULC2VhVhjGrrn9nVnK8I+Pz6w3Sms7CEJoqC0mhjqMKARxHy4bHD/7EE4OlmjSQPnrtZTEmGT4PAtCu2GNimTNEeZ1GgamTrBwaqByGQRRWlA+yTBBEEo/DdH0h/VCm8+LxFl4Hh+JVwlRSExKhTC6VmCdTBAE8QncSaQPAopkiZEpzpU5jCh54uKTceXmK/Tp3hDacm63yvLy1ntkZWahThFcSTJSYxHtdwMO7j3pe0FoBHR1IwhCvSlWBfAA6LlfAm5GB+NaVBCqt/gGM+f/g+ev/KGRaLwCRxAEUXTYJFOtIkYRymMuAxwSMT4p5y8/RXq6SC2uJBZ2pnCurnpg0Ih3F5CVKYJ9tV5FqgtBlBZIxCCIEkDT54E5RQzNVzESU0XZr5PSsG33FbTovhgd+/+EPQdvIiU1HZr23RVAtxIEQZSCmBhFL0eWYlXTBx+lnKNnHsDayhStmlZTuYykuBS8e+iP2m2rQLsIqeDCvM5A39gWVuWbqlwGQZQmSMQgiGIkeyii2QOJnFaSmj/blR9j9u7aAPr6kvBCHo/eY+o321CtydeYu3QfPN+FfLpKEgRBEGUuJoZUfyiSmEHuJJ+cmNgknL/8DAN7N4Guro7K5Ty76gWxKBMNu1RXuYz0lGhEel/mAT21tFWvC0GUJkjEIIgSQLMljJwpVtUV26w0I9/EDb9MgJfHGixbMBSVKkgyPsTEJWHTtgto1HE+egz7BYdPenCTUoIgCEIzUVuKVXW6kxCfjKOn7/P7/vABLYpUzsPzr3lWEpcaqruShL05iazMDDjVGlykuhBEaYJEDIIoCTRcxdCSb6DmG2LkMMVg+o2ttRlmTu2BJ9dW4OSe2dz/VUdHcnm9cecNxk3/He7Nv8GSXw7B1z8CZQmZNbIQ+pUgCOITixjqcEuRihgU2PPTsf/oHbi52KFZI9WDcUYFx8LvRQgadK1epKwkwS8PwtiqEiycGqpcBkGUNkjEIIhiRDoW0XS3VO0cDRTubJdFH+/Qphb2/DEdb+6sxsJvBqC8kxV/LyIyHqs3nUadNnMxcNwanL7wGCJR2XlaJtxeJQiCKElLDBTdEkNqEkmBPT8JfgGRuO3hhWEDWxRJfHh08Q1fN+xSQ+UykqK9ERf8EE61BhWpLgRR2iARgyBKBM2+cWh9sDoQSmBP+SZq5zNIdHK0wncz++LlrVU4sG0munWsywcQ7PxcuPIcwyavR61W32LFuuMICY0pucoTBEEQakesrpgYshSrarDE0PCxR2nl32N3+LooriTse/D4whu41nKCrbOlyuWEvDrM1041yZWE0CxIxCCIEkDThxE5spNA85EXagp7ssECevXsUh+Hd87Ci5srMXtGb9jZmvP3gkJisGzNMVRvMRsjp27E5esv1RYcTl3QgxuCIIiSs8SQ3l+KdC/4ENiTKHlY/+07chuN61dC1Uqqx7HwfxWKiIAYNOxcvUhZapiIYencDMaWriqXQxClERIxCKIYyRLIRFA+7ZcADDFUpoKLLZbMGQTPu7/in81foF1LiYmoWJyJE2cfou/o1ajfbh7WbTmLiKh4lCqoXwmCIPJFXQK0VBjPFBclsKekLll04S5xbnu8xdv3oRg5uFWRyrl38jl09XV4PAxVifa/hZRYP5SrPbRIdSGI0giJGARRAmi6iCFvjSAEEUP+gZsqfctSsrK0a6f3z8GjK8sxY3JXWFmY8Pe8/cKxcPkBuDf7BhO/+gO37nl9WhedD+0TQLcSBEGoJSBnUa7Z2SJGZtGzk0jztRIlxo69V2FspI9h/ZurXEZKQiqe/OeJeh2qwdjMUOVyAp/sgq6+GRyr91O5DIIorZCIQRAlgqarGBAWSriTFEa1yk74+fsR8Lq/BlvXTEazRpX5dpaa7cCxu+g2ZAWadlmELTsvIS4+uchVJwiieAkMDMKyH5Zj3pz5uHrlGp1ugSAfiLMoriVSi44iiRgf3EnIEqNkiYpJxNEz9zG4bzNYmBsXKaBnRpoIzfrWUbmMtKQIhL89ywN66upLHpIQhCZBIgZBlACaPseXn8cLIbBncWBkqM/NT/87uhB3zi3F5DEdYGoieQLz2isIs7/fg6pNZmH6nO149NSnxOolE2myNP1bTBBFJy4uHpPHfwZ7e3tUrVYV/5sxCx73POjUCgB54aIomaekbiRikTosMeh+XJLsP3wbaWkiTBzVXuUy2Bjq7onncHCzhlvtciqXE/x8P7IyRXCuN0blMgiiNKP7qStAEJqMbEKv4fM/oeWilx8XFoerUJ2arli3bCx+nDeEW2P8tfsKnr8KQHJKOv7ef4MvDeq4YdLo9hjSrzlMjA3UXwmCIJTG0NAAh44dgKmpKf/f840nfH390LRZUzqbAoqJIRJnwqCI6VHVYYlBlOx4b9veq6hT0wWN6lUsUkDPUO9I9P2yncqWniwmSuDT3bAo1whm9jVVrgtBlGZIxCCIkkBAgT3l/YKFEROj+DrXzNQIk0Z34E91HjzxxrbdV3HoxD2kpmXg8XNfzJi7E/N/+hfDB7bg+9Vydy62uhCEJvD40RPs/mcPTp08hWrVquLk2RO59rl31wM/Lf0Jnp5esLOzw6TPJmLi5Amy9xfOW4SoyKhcnxs7YSxatGwOAwPJ9NXP1w+vXr7C/EXzi7lVhCZaYqgnJobm349LC7c8vOD1LgRrl40p0rjg9rGnPKBno26qiw9RPleREuePSq2+UbkMgijtkIhBECWAoHK1C2LMpL6YGIrAjtGkQWW+rFg0HHsP38K2PVf5gCk+IQVb/77MlxZNqmLy6A7o16MxDA311HRsAXUrodGkpaVhyfdLMWr0COjr6+PF8+e59gnwD8D40RMwecok7Nr7Dzw87mPG51/C3Nwcg4cO4vt06tIJKcm549O4uLrIXjMLDCZ2bNqyERYWkpTKhGYjL+AzS4yiiiFFyU4iTbFKMTFKjk3bLsDM1BDD+rdQuYz4yEQ8/c8TjXvUhLG56gE9/R7+CT0jKzi691G5DIIo7ZCIQRAlkWIVAspOIoTp7idsopWlCaZP6oovJnbBzXue3Drj+NkHyMgQ4879t3z5dslejBnaGhNGtkOViqrnqc+BALqV0GyYhcTxU0f569ev3uS5zz87d8HWzhbfzPma/9+1WxcMHDQAf/7xp0zE6NCxYH/32zdv49dVa7H5j41wcHRQezuI0glLla0OSwypO4m4KGVIs5JQdpISwccvHKfOP8b0SV1gbmakcjm3jz7lsVDaDGmochkJEW+4JUalFv+Djp7qdSGI0o6wHNkJ4hOhJSB3EiFYr2aVgr5lwlGb5tWxc+M0eN5bg6VzB6OCiy1/LzomEb/9cQ71281Dn5GrcOwMEzlEKh5IvfUmiNLMwweP0LxFsxzbWrZuCc83XkhISCj082GhYRg/ZiK39FiyaCk+/+wLnD19tsDPpCSnIDoqWrbExsQWuR1EySOSC8QpL2h8CksMWUwMIdyQSwG/77jExwKfT+iichksG8mdE89QrWkFOLjZqFyO/4M/oaWjD5cG2S5wBKGJkCUGQRBqTk+i+SdUPgNLSbiTFIa9rTm+md4Lsz7vgf+uv8S23Vdw5tITPhi+cvMVXxztLTFuRFuMH94WLuUVHyB9+tYRRMkRERGBJs0a59hmayP5vURGRMLMzKzAz5uZm2HdhjU5tlV1r1bgZ86duoBjB0/m2h7gHYL4qCSoAxZfwdcrQC1laQrqPidBfiGy175vA5Een6hSOWnJ6XydEJuocv1io2L4mt2plCmDvifKn5OExFTs3HcNnVrVQFZKisp99vK6N5LjUuHe0kXlMkSpUQh+eQhmzl0REpzGriIoDuh7QuflU31X3Kq5FC5i+Pv54+iRY7hz6y58fXyRmJgISytLHgirddvW6D+wH6ytrdVWKYLQaHeSUjDRLTkNQwAqRilFW1sbXdrX4UtQSDR27rvOB1chYbEIDY/FL7+dwKoNJ9G9Yz2e2aRzuzrQ0SnMII+CYhDCRipaKnIdNzY2Rs/ePZUqv3vvrmjXqY3sf2aJsXTecrhUcoK1jXrGWWwQKT/4I9R/Tt6HxsleO7o4wM3NXqVydPV0+NrQ2FDl+qWHmCKavcjKVKoM+p4of042/HmeZw6b87/+KvcXu8Yc+ukyT6vaZkBjlceM727+i6zMdNTqOAtm9sX3e6fvCZ2X0vBdyTV69fH2wdTJ09C+dUccPXQUTk6OGDRkID6fMQ29+vSEvoE+Nm/8Hc0bt8Si+d8jOppfJosN9sMWiZQzgxaLxcVSLkGojGZrGMJzJ5HPTlJKO7e8kzUWfN0fr++sxr4/v0TndrX5dmadwaw0Bo1fhzpt5mDVxlMIC88efOeCNAxCQLBsJMylQ56oD+McG1vVTbwLwsjYiIsV0oU9MCLKHvJxMEQKjEMLdSeRc09RPcVqVnZ8DELtMDfN33dc5ClVmzeuonI5r297I8w3msfCUFXAEKUnI+DxDlhXaENpVQlBkMMSIyY6Bn169MPAwQNw+vxJ1KhZI18B4M7tu9izay8G9hmEq7euqL1iKSkp+H7BYpw8foqLDQ0bNcCKlStQuUqlPPfPyMjAoQOHsevv3Xj37h2MjIzQqXMnzF/0HWxtbVUulyDUMdktndNc9ZHjpisAFSOHiFHKO1dXVwd9ujXki7dvOHbsvYp/DtxAVHQi/AOjsHTlYSxbcwx9uzfkaVrbtqieoz9Le/sIQp00atwQ586ez7Htzq07cK9erVBXEkLYZMiLGEURINSQYhXSFKsfBA2tQi3uCFU4cOwuv48uWzBMZfGBzan+2+UBCztTNOqW97xLEYKe7kJGSjQqNpuhchkEUZbIcVUzMjbGxSvn8cOypfkKGAz2Q23ZqgU2bdmAHbu2F0vFmJXH/Xv3ce7SGTx89gB29vYYP2YCUlOZj1duWDqzZ0+fYfXaVXjl9QKnzp7Au7dv8cXUGUUqlyCIwpG3RtB8CaPsCjWV3Ozx4/yh8Lq3Bts3TEWrZu6yJ4hHTt1Hr+Er0bDDfGz86zyiYz/y584iNYPQfMaMG81jX/y6cg1367hw/iIOHzqCz6Z+9qmrRpSpwJ5FscT4kJ2kCCJGVg4RI0Plcoj8Yf2zetNpuFcph349Gql8qt4+9If/q1C0G94IuvqqhSoUi1Lh6/E7LMo14pYYBCE4EUMsFuHp02fcqkFRKlaqqPZKMYuQo4eP4X/fzIRbRTeeY33xD98jKDAIF89fzPMztevUxoqVy1GzVg3o6uryfO3Tv5oOj7seskjfqpRLEOpASDExhKFilO2+NTDQw9B+zXH+4He4f+knfD6hMyzMJanY3nqH4rsf9qNqk1mYMutP+MWk8CdFAutWQkPp2rE73MpXwo5tO/H82Qv+mi1JSZIAmq4VXPnDmSuXr6Jpw+ZYumgpvps/V5ZelSAUcicRfdrsJJnijDxcSwh1cvT0fX6//HZGLx6PSlUu7/KAiaURmvWpo3IZQc/3Iy0pDJVazCqTYxKCUIUckl9SUjKmTf6cB+xkgTuHDBtcoEVGccGEFKZiN23WVLbN3t4OlSpXwuNHj9GnX2+FygkLDeVpzoxNjNVaLkEojjD8SeRvmpkCmO7KD0/L+nihRrXyWLV0FJZ+NxiHTtzDtt1X8fCpD9LSRNh7+Dbfx0bPEH2MTD91VQmiyFy4fK7QfViK1VPnTtDZJlQWMcQfrClUQRoLI7MI1hxZOUQMiv+mbpi1DIsnVdHVDoP75kzJrAw+z4Pw/nEgekxpBX1DPdXqIk6H790NMHOoA9tKHVWuC0GUNXJIh2xCf/j4IXTr0Q0HDxxCjy690Lt7X/y9458SzVseFRnF19Yf0ppJYQGvoqIk7ymSq339uo0YPnIYFzKKUi7lcCeKShmf5ypHlrDaqClPPYyNDDB2WFtcO/k9bpxajPEj2sHY6MO1MyMV98JUSxdIEAQhBERy7h/ygobS5Xz4rLgolhhyLiSZZImhds5eeoqXbwJ5anMWd0pV/vvHA0amBmg5oJ7KZbCUqqkJwajU4n8aMx4hCEXQzSuoFVuYm8X5c+d5sMyl3/+AZT8uR5cunTF42GC0bdcGOjqq/2gV5eOIylmZmQr9QONi4zB+zES4uVXA/IXzilxuSeRwF1reZaG0VToEEYtEGt1e+YBmGWma3VZpRHIpvm8DoFsC18OSxMpQB7MndcLUYa3Qf/RqhCWmIyMzS+P7VWjXp+JqK6XyJIRIzuwkqltiiDOklhhFCQ5KlhjFaYWxYt1xlHeywshBrVQux/tpIDzv+aLrxBYwNDFQrS6iNHjfXgtTuxqwr9pd5boQRFkk3wgyhoYG6Ne/L19CQ0Jx5PBRHD54BBPGTISjoyNGjB6OmbO+KpZKOThIcmtHRkbBxcVZtp1ZUjRo2KDAz8bFxWPMyLE8O8nO3TtgaGRY5HJLIoe70PIuC6mtDD09PY1ur/zgjQWm0uS2MuSfvFSs5godDY78bqyf3VZN71chXp+E1FaCKLnsJKpbYog/fLYoIoa8JUZWFrmTqJNjZx7iyQs/rF8xDvoqBuJkcabObr3FY2G0GdpQ5boEPN2F1PhA1B/4N7S0NHccQhB5odA33tHJEV/M+Jz7krKgmOHh4TyVaXFRt35d7gJy++Yt2bagoCB4e/ugcdPGsm2pKalIS8vOKhIfH4+xI8dCR0cXf+/ZAVNTU5XK/RjK4U4Qyt2cNZ2ylGK1qMiap/ndShAEoabsJEWwxPhQjnRd5MCeYhIx1AUTp3789Qgqu9ljzNDWKpfz5q4PfJ8Ho9PopjA01letLmmJ8L6zDpblm8CucheV60IQZRWFJMR3797j8MHDOHroGEJDQ1HNvRpGjRlZbJUyNzfn5a9ZvY4H3bS1teWpUVme9o6dOsj2G9B3EGrWqolf161CYmIixo4czy8w2//+g0cKlkYbZ1YZ7H9FyyUIdSGd92m6QC7vjkVzXc2E+pUgCCJ/5NOqqmqJwawvsmTZSYriTpKeXWZm9muiaOw5dAtv34dix8Zp0NPTVTn7zNk/b8PS3gzN+9VVuS5+D7YiIzkKVfv9RbEwCEGiW5BbxsnjJ3lMjCePn8Dcwhx9+vbGkGFDUL+B6gFoFGX+onncFeR/X37NLS6aNW+K1WtX8fSpUpg4YWAgUTCfPHoCL08v/rpDm045yjpy4hCq16iucLkEoW60NDy0p9BSrOa0xND0vtXs9hEEQaiDjAy52FAqihjy1hdFssSQy0jC4iYQRSc1NQPL1x5D3VquGNS7icrlPLvihZB3ERgytwv0DFSbe6QnR8L3/u+wrdQJVi7NVa4LQZRldD82A7929ToXLi5euIiM9Ay0at0Sv21ah27du/E4GSUZQ2DuvDl8yQ8mTkhp3bY1Xr19oZZyCUJdCMCzQqDuJNltpEk+QRAEIR/Mk6WoVgWRnBAilntdJEsMEjHUwl+7LyMoJIbHwmDW3aogShfh7J+3YOdqhUbdaqpcF+876yFOT0TVtrmTFxCEIEWMiIhIjB89ARXcKmDGl9MxaMhAlCtf7tPVjiA0BE1/mC20ibzmyzRyaAmwzQRBEEXIWpWeLipSUE+GKF2slpgYJGIUnaiYRPzy20m0auaOrh1UdwG5efgJooPjMH55X+joqiaEJEW9Q8DjHXCqORBm9rVUrgtBaJSIYWZmin8P7+cuFgRBqBEtAcXEoNmuRkGBPQmCIJSzxEhNyxYRVEmvystTUQhhZGWKoK1riExRKsTiVJXLISQwN5LY+GT8vGi4yg9tEqKTcOnve6ja2BU1W1VS+dR6XlkKLR09VG23gLqHEDQ5ZEAWY+JjAYNl7/hh8Y8YOXQUhg4cxvMjb1q/CenpFCiIIAonSxAxMeQRgoghBJcZKcL55hIEQaiOvBVFWnpGkcowMNJDRpEsMdKhqy/J0EeWGEXjvV84/tp1BaOHtEKDum4ql3N+2x2kp2agz/R2Kgshkd6XEel9CRWbzYChGVnKE8KmQFumK5ev8iCZjx4+hrOLM09FyvzAmNvJgf0HS66WBFHGEZi3hcYj1TC0BPTlFY5sQxAEoTzywTzTVLXE+BDM08BEn2cnUTW4J7PE0NU3469JxCgaq7acg5GhPhZ/O0jlMoLfRcDj9As061MHTpVtVXYR8ry8GIbm5eHW5HOV60IQghAxvl+wGAsWzcexU0cwe+5s2fZuPbrh6OFjJVE/gtCMFKuCmO1KyKLpLkEQBCEw0uTcP1R3J5EIIYbGBkUK7sksMXT0TWSvCdU4f/kpbt5/h9nTe8HRwVJly80TG67BwFgf3Sa1ULkrAh7vRFL0O1Rr/z109IxULocgNF7EiIuNQ0R4BMaMG53rPWaVERIcXNx1IwgNQvNVDCHFThBAEwX0zSUIgig6aakZMDczyiVoqJKdhFliMDJULCdLnCHnTkIxMVSBWdN89+N+lHe0xIzJ3aAqT/7zxPvHAegyvjlMLY1Vq0tSBN7f+hWWzs3g4N5H5boQhCBEDANDQ2RkZHAx42PCQkNhaWVV3HUjCKIMkimEGb6A3EmkVkQCCgNCEAShNEy4MDE2gLa2VpHdSQw/iBiqZigRi9Oga2jBX2eK01QqQ+is++Ms3r4PxbfTusPQUE+lMlISUnFi4zU4VbFDq4H1Va4LcyNhKVVrdF4uuGxwBKG0iGFoaIBGTRph9qxvERMdk8MsavufO9CuQ9t8CyUI4sPv5cNaWDcdIcx2hdBGobeYIAhCcZgLiYG+HgwN9IrsTsJcD4piicGsL/SkIoaIRAxlee8bhpUbTqJn5/ro1KoGVOXsn7eRGJ2MgV93VDmlapTvNYS+PooKTabBzL6mynUhCI1Osfoxi5d+j+FDRqBl09aoWq0KEhIS0L1zD4hEYqxYtaLkakkQZRwhaBhaHya6QnhiL4Q2ShHAV5cgCKLIpKdnQN9AlwsZaWlFcyfJtsRQvhz2sJGJGLoG5vx/MYkYSp+/rxfugo62Nlb/MAqZySlQBf9Xobh7/CkP5ulWW7VMIuKMFLy68B0MzZ1RqeXXKpVBEJpKgbJgrdo1ce7SGYwdPwYWFhZo1rwZevfpjaMnD8PCQnJxJAiCyIEAJviCsrARQBMJgiDU4U7CrDAMDJiIoZolRsYH8cPYzDDH/8ogjYEhFTHInUQ5Dp/0wH/XX2Le//rB1dlWZbegI7/+B2MLI/Sc2hqq4nN3PVJifVGjy8/Q1VctngZBCNISg1G+fHnMW/hdydSGIDQUIcx1hYSQLDGkKoaw2kwQBKGKO4kuFzLS0osmYhh9EDFUiYkhFTFYBgttXUMK7KkEsXHJmLt0H2q6l8eMyV2hKjcPPUbQ23AMX9ANxuaSvlSWxEhP+NzbBAf33rCr3EnluhCEYEUMgiBUQyzOHnwI44m9Fp/p0lxXsxDAN5cgCKLIpKeLuBUGcylR2RLjg/uIkZmByjExxB9EDCZgaOsYUIpVJVi4/ADCIuKwe8t06OmpNkUK94/Gub9uoVqTCmjYVbV4GpmZIrw4Ows6uoZw7/iDSmUQhKDcScLDIzB88Ejc97hf6AdFIhFOnzyDEUNGFWf9CKLMkpkpiTIulImglpw/qaYjhDZKEYL+RhAEoU5LDFUDe2akfnAnMVeDJQYTMXQNeFwFonD+u/4CO/ddw9TxndCiSVWVTlmmOBMHfr4AHV0dDJ7TWeUHWH73tyA+5DHcO/0IQzMnlcogCE0nh8xoY2ONjp07YOLYSXB0ckK37l1Rv0F9OJVzgomJMeLj4+Hj44sHHg9w9sw5GOjrY97CeZ+u9gRRVhDQTFA403thiFMyd5JPXQ2CIIhSDAvmyQQMiTuJqGgxMcyNJP+nZhTJEkNXzwTijCSV6iIk4hNSMGPuTri52GHp3MEql3Pr8BP4vQjB4G87w8rBXGU3knc3V8G2UmeUqz1U5boQhKBEDB0dHUyZ9hmGDB2MvXv24ejhY9i4flPOD+jqon6Depgz71v07deXp2IlCCI3WWI5SwxhzHYhlNmuAJpIEARBKAFzIdHX14O+fhHcST6IGKZWEhEjLTmjSJYYOvomEKcnqlQXIbFg2b8ICIrCmX/nwtREtRgWEQExOPvnLVRt7IqmvWur7kZyZiZ0dI1Qs9sqYbgiE4SK5OnwZWVthelffsGXyMhI+Pn6IykpCZaWFqhcpTJMTExUPR5BCAYxuZNoLgJSMWgMRRAEUTgsmCezwjAy1EdMrGrWD9IYGKaWkkwUacnpSpchdR/R1jWCrr4pROnJKtVFKFy58RI79l7DlHEd0bZFdZXdSA7+cgHa2loYMqeLyuKD771NiA99itq91sPQzFGlMghCKBQatcbW1pYvBEEUAQHNBIUwv8/80EhhxTr5xBUhCIIoxTAXEhYTw8TYAElJaSpbYujo6cDIVGLlnJqSXmRLjIz4IJXqIgTi4pPxxZwd3I3kh++GqFzO1X0P4PMsGINmd4KVo2puJPFhL/D+1q+wq9INTjVVd2khCKFA2UkIopjIEpglhgxBTHYF0UgBfnkJgiCK4E5ioAszU0MkJKkWTJPFwNAz0IWeoS60tLVUs8SQxsTQM/xgiUHuJPkxa+EuBAZH48y/c1R2Iwl4HYrz2+6gZqtKaNanjkplMGuZZyenQc/QAjW7riQ3EoJQABIxCKIkspMIwBJDS0gTfGkTNb9bhdBEgiCIImesSk5Jh4mRAXS0tYtkiaGnr8PHDAZGemqKiUGBPfNi/5HbOHDsLmZP74U2zVVzI2Ei094fzsLEwhBD5qruRuJ5eRGSo9+jwaDdMDC1V6kMghB0ilWCIIrHEkNIM0Gpq4UmIyANQ+YKJYBuJQiCUAmWUpUJGcbGBjAxMeT/i0RilWJiMEsMhoGxftEsMXQ/WGJQdpJc+PiFcyuMRvUqYsHX/aEqx9dfRWRQLIYv6C6LY6IsoZ6nEPRsL1wbTYZd5U4q14UghAaJGARRAghisisgaEJPEARBSElKllhesHgYZh/cEhISJWKC0pYYUhHDSEUR44P7CBMwdPRMkCVOR6ZY+XI0lYwMESbN3IrMzCxs3zAVenqqGaU/u+qF+2deou3QhqjWpIJKZaTEB+LVudkws6+Fau0WqlQGQQgVEjEIopgQZwnMnUQAbZQhi3Kp+W2WtZCUG4IgiDxJ/iBiGBsZwNRUImIkJSsvYqSnZEDfSJ+/NjBWzZ1EGgNDh4kY+qY5thHAz+tPwuPRe6z+YRQquzmodEqigmNxaOUlOFWxQ48prVROp/r81AxkitNQp89maOtKgrkSBFFEESMmOgbz5izAyxevFCyKIAh5ssTCdCcRQhYL4UgY2Yl1BNCtBEEQRbbEMDU2UNkSg1leGJpIRQx9pKmQnUQSA0MLOnrG0NU3kdtGsHSqK9efxIBeTTB6SGuVTgizltn1/WmeVnX0kp7Q1VfNkuPdjV8QG3gP1Tv9CFObatQ5BKEuEUNXTxcP7j9Ar269MaDPIBw+eASpqaoFKiIIoSOEya6gENCMnr67BEEQBZOc8sESw1hfZomRmKS8iJGalM7dSIoSE4NZXTBXEmYdydZ8W1oChE5waAwmfPUHKlWww8ZfxqtsPXpi4zUEeYXzQJ72rtYqlRH+9ix8722EU60hKF93lEplEITQyVfEMDMzw8Ur57H/0D6Udy6P776dhxaNW2L5jyvg6+NbsrUkiDKI0LKTSGHBzQjNg3qVIAgib5I+iA2SmBhG/HWiipYYzI0k251EtZgYUjcSXSNLvs5IjYXQ42CM++J33ie7t0yHhblqQTgfXniNu8efodWg+qjX0V2lMpJjfPDi9EyY2tVAza4/C2p8SBAlGhOjeYtm2Pj7ety+fxOTp0zE6VNn0KFNJ4wZOQ4Xzl8stgmLSCTCmlVr0b5VBzRt2BxfTZ+J8LDwAj8THR2NLZv/QMc2nVCnRj0kJyfn2mf44JH8Pfll4bxFxdIGQthkioU17ZPehoXQaullTxBjD0E0kiAIQr0xMRI/bFOGVO5OInFHYeuUROXLEKUlytxI9I0klgIZKdEQMot/OYQ7D95i3fKxqFPTVaUyQn0icXj1JbjWdETvL9qqVIY4IxlPjk3mr+v1+4u7/BAEUcyBPe3s7NC1e1d07NSBq4ZPHj/BtMmfo0eXnnj37j3Uzc/LfsG+vfuxYtUK7Nm/CxHhkRg3egLE4vxTVs35ei6io6IxYtQIJMQn5CmwJCUlYuLkCbh594ZsWfD9fLXXnyDk0dIW0ERQACqGAJqYh4YhpFYTBEEoHxPD2EgfJh9ECGUtMViMhYxUkcwSw9jCkP/PYjAo604itcTQM7SC0C0xjp99gPVbz2Pc8DYqx8FgYtKuRaehp6+L0Ut7QVdPR+ky2Jzk9cV5SIx4hdq9foOJdSWV6kIQhIIiRnp6Ok4eP4Vhg0egS4duePrkKX5Z/TPuP/bAlRv/wcXVFQu/U68lQ0JCAv75exe++fZrtGjZHFWrVcXKNb/g9avXuPzflXw/9+eOrZi/aB5c3QpWWQ0MDGBhYS5bjIwkpn8EoU6y5CZ9ApIwhDHVFUQjc0JeQgRBEIXFxDCA5QdXhZg45YJpSl1HWCwMhomFZGyaHJ+qtDuJroEZf60ndSdJiRFk13m+C8Hns7ejTk0XrP5htEplsFSs+348i4jAGIz8vgesHMxVKifg8Q4EvzgAt6ZfwL5qD5XKIAhCAREjLS0Nq35ejZZNWuGbWbNRvlw5HD15BCfOHMeQYYNhaGiACm4VsPiH7+Ht7a3Wc/rsyTOkp6WjVeuWsm0uLs6oWNENDzwe5Ps5Rf3Kdmzbicb1mqBXtz5Ys3otUlOU91skiMLIkrMaEoLPoyyLBc12NQrN/+YSBEGoLzuJtZXECiI6Rrm0ptJ0qtLAnibmEhEjKS5FqXJE6UkydxJdA3NmCop0AYoYMbFJGD55PXS0tbFnywwYGUrOq7LcO/oCr+/4oNe0NnBv6qZSGVG+1+H53/ewqdgeVdrOU6kMgiBykm9eoLi4eBw7cgwTJk/AiFHDYW2ddwReWxsbzJ03B+okNDRMUradbY7tNrY2CAuTvKcqtevUxtezZ6F6jercsmPxoqV4+fwltv39V76fSUlOQUpK9k0kNka4ZnmEcuo9oZlkfhBqhDDBF4IARxAEURSSkqQihiGfLLMlOlZJEeNDOlWDDylWmTsJI1lJEUM+sKeWljb0DC2RkSosEUMkEmPCl1vg7ReOY7u+QSU3e5XKeXzxDR6d9UTDbjXQdlhDlcpIivbG0+NTYGTphrp9tkBbW7WUrARB5CTfX5KtrQ2u37kGHZ2C/b4MjQwxaMhAFAfs4iuPjq5ukZ/yrli5XPbaqZwTDA0NMXLYaLx6+Ro1a9XI8zPnTl3AsYMnc20P8A5BfJT6cm8zf0hfrwAIASG0NeKDGMdglkWa3l4pYpHm96185hlNb6s0DlGWANoqpOtTcbbVrZqLWssjiNJOfEIyF3zNzSTCg7WVCaJjkpROr5qXO4nylhgJ0NWXuJMw9IysBOdOsmjFQVy69gKrlo5Ch9Y1VSoj4E0oDvxyAfYVrTB4dmeVBP2M1Dg8PjKWv24w6G/oGVqoVBeCIJQQMbS1FY75qXaYxQUjJjqaCw1SoiKjUKuWahej/KhTrw5fe7/3zlfE6N67K9p1apPDEmPpvOVwqeQEaxvVckTnBRtICmXwJ4S26klie3EMjQw0vr3S27u2jrbmt1Xu+qjpbZUXsjW9rUK6PgmxrQRRXMTGp8DM1FA2dmYuJcq7k0hFjA+BPc0lgkiSEjExsjLFPAOG1J1EmqFESNlJ9hy8iQ1/SgJ5ThvfSaUy4iMT8feCkzA2M0TP6S2hZ6C89URmpgjPTk5DSowvGg7ZAxPryirVhSCIvMn3V5mYmIhfV64p0AKjSpUq6N6zG0xMsi+W6qBuvTp84OzhcR/9+vfl2yIiIrjQ8NWsL9V6rPfvvHMIJ3lhZGzEF4JQ9Wm9kBBETIws4bhaCKCJBEEQRbbEMDfLHidaWyovYkgtMQyNDVS2xBClxfO1rqEkoKc0Q0lyjHpj15VW7j54iy/n/Y3mjapgzY9jVLpHMzFp+3fH+Xn/fP1QZOpKYpUoOw7yurwEUT5XUb3TT7Bxa6d0GQRBqChiiDJEuHP7Lt68fsNdLlwruCIjPR0BAYHcvLiae1Vs/2sH1qxagxNnj8PGJn8RQFlY/A0mXvy2Zj0aNmoIKytL/LjkJ26V0bVbV9l+QwYMhXt1d/y04keFyn329Bn+u3QZI0eNgIOjA7w8vbDgu4Vwr14NTZo2Vlv9CeJjhJFhVRCN5AhAppGh9aFfhaBNEQRBqEJcfDIsPmQlkVpi+AZEKFVGSkJqDgsMfSM96OjpIDlOcUsMaQBP5kIiRd/EFjFBHtB03vmEYuik9XCws8CerTNgYCCxaFHWHXb3kjMIfhuO0Ut7w7Wmo0rudn73/4D/o21wrj8OLg0nKv15giAKJ1+fEUsrSzRu0ggDBw2Ax+O7uHD5HK7cvIxrt6+gQcMGGDdhHO7ev43yLs5Y9+tvUDc//fwj6tWri05tO6N+rYYI8A/Ezl3beVYUKYmJSUiRyyyy4qefUadGPfxvxiz+f/PGLfn/165e5/8zwYMJMgP7DUa1itUxfPBI1K5TC7v374KuLgXaIdRLlrwlhgAeZ0tbKIjJrhDaSBAEQShEfHxKTksMFdxJpKlUpSIGsyIwtTRCYkyywmVkpEoCz7NgnlIMTB0hSo2FOEO52BpliYioeAwat5Y/ZD3y9ywuZKhiPXHstyt4c9cHvae3Q932VVWqS8jrY/C6uhR2VbqhRudlgrDYJIhPQb4z94yMDBw+eASPnj+AkVH2hbl8+fJYtGQhFs5bhJGjR+Cbb7/GT0t/UnvFjI2NsXbDGqxetwoikQgGBnIBBj5w8Oi/Ofy1Z33zP3zx5Re59jMxkajjrIzPp0/jS3p6OvT1VUu3RBCKkCkW2ExXQPfprA8qhhCaTOMvgiCIgolLSEEF5+yMeiywZ0JiKtLTRdDX11VYxGDXW8MP2UkY5ramiItQXAyRZiHJKWI48HVaYhiMrVRLEVqaSUlNx7BJ6+EfFIXju2ejRrXyKpVzde8D3D3+DK0H1UebIQ1UKiPa/zZenJkJC6eGqNtnM7S0C06OQBCE6uR7ZU1KTII4U5ynhQKzhoiNkVwoHRzskZSkuEqsLEykyC9Diqmpac56GRnyRRFIwCBKEiEp8cKwxBBOf0qVGiF0K0EQhMruJB9iWDDsbSWWAOGRcXAup5i7dXJCKgxNDXhwbCkWtqYIfq+4W0pGHu4khqaSAPlpiaEaJ2KIxZmY+NUf8Hj0HtvXT0HbFtVVKufJf54488dN1GpTGX1mtFNpzJYY6YknRyfCyKw8z0Sio5ftXkQQRAm6k1hYWsDayhq/b9ySI1BfWloaNq7fjGru1fj/z549524fBEHkJCsr253ko2zBGomApvUySwwhoCW0oK0EQRBKEp/A3EmyJ63lHCWWECFhEvcORS0xTMxzBpG3sDPlmTIUvfZmu5NY5WmJoUmwczLvx/04ee4RlswZhKH9W6hUzpt7vti/7ByPfzFyUY8cIpKipMQH4tHBkdzygmUi0TfOtsohCKKELTGYCrnkx+/x5RczceTQEdSoWQMZIhGePnnKXTH2H9zLLyA3r9/EjJkziql6BKEZ2UmkwRGFgKAm+FqCkzEEJlcRBEEUjEgkRmJSKizkYmI4OUhEhOBQiWWEooE9jT7Ew5BibmsCUboYKQlpslgZBZGRIhUxLHLExGCkJoZoVFeu3HASm7dfxMRR7fHN9F4qleHzPAj/LDwJW2dLTPylP/QNlQ8GmpYUgYf/DuMCUuPhh2BsVVGluhAEoRwFyo3de3bHpasX0LlrZ6SmpvL816PGjMTVG5e5qMGEjpW//oLKVSopeViC0HyyMrMn80Ka9gnhYb0Q2vixUJMltIYTBEEoQHyiJGCmfHYSVS0xPhYqmCUGQ9G4GCyAp7auIXT0jHJkJ9HS0tEoS4wtOy/hx9VHMbB3E6z9SbVUqkFvw7F97nGYWhnjs18HyVLaKgMTLh4eGI7U+CA0GPgPLJxUi6VBEIQaLTGio6MxddI0HDx6AAsXL1ChaIIghJRjVfNbKHBIvyAIgshFXFxyLhFDmh0jVEkRw7FiTjcEFhODHyMyEU6VC3dRSE+JzuFKwtDS0oaBmSOfaGsC+4/cxuzv96BL+zr4a90U6Kjg/hEREIM/vzkCPX0dTFk7SCYWKYMoPQmPDo1GUpQX6vXfBusKrZQugyAI1cn3l89Skb56+boIRROEsBHLuZMIICSGDCE8rM8SkHAj/4BLSK5CBEEQihAZncDXNtbZE2E9PV3Y2Zor5U6SpyWGvRlfx4VLjlEYGUzEkAvqKcXIogKSY31R1jl94TGmfrMNLRpXxe4t0xXO/CJPTFg8tn59GJniTG6BYVs+O5OLoohFqXhyZDzigh+hds/1sK/SVekyCIIoGtoFpThlbiK3b90p4iEIQpgINQiiIFotiEbmVDHInYQgCCI3UdESVw9ba/Mc25lLiaLuJOkpGchIE8HYIqeIYeVoDi1tLUQFKVhOciQMTOxybWdZSVJi/cr0uOTqrVcYO30zarqXx8Ed/4OJsYHSZcSGJWDLzENcMJq0coBC1i0fkylKw9NjnyHa/yZqdv0FTjUHKF0GQRBFJ18JMzUlFQ0aNsBnE6Zg6PAhqFylco50q0ZGhug3oJ8aqkAQmg8bhGg6wghyKaHsDgOVR0DdShAEoRZLDIazkzU83ykWTDMhJomvzaxNcmzX1dOBpb0ZIhUUMdKSwmFqVyPXdmNLN4jS4rmlhr6xYilfSxPXbr/GkAm/wbW8LY7t+gaWFsaqCRj/O4jEmGRM+qU/KtSSpJ5V1gLj6bHJiPT+D+4dlsC5/hilyyAIophFjITEBOzbu5+/3rN7b6737ezsSMQgiAJgpoqCzE5Shp/0KIq0icLpValwo/l9SxAEoQyRURIRw9ZG4vohpWIFe1y4+hxicWahcRsSoiVxNcysc0/OWeaMyKC4QuuRlSlGenIUDEzsc71nZOnG18mxfmVOxLh+5w0Gj1+H8k5WOLN/jizeiDLEhksEjPioJExeOQCV6jur5kJydCKifK7AveMPqND4M6XLIAiiBEQMJlJ4eb9R46EIQmDIT+YFMNsVklAjm8wLwPwkR9R3AQhUBEEQyhAVnQBtbS1YWZjkEjEyMsQIDI5GBRdbBUWMnGUwbMpbwu9lCH9AUFAWDhbUE1mZ0DfOw53EsgJfp8T6wrJcQ5QVbtxlAsZaiYDx71w4OeaO96GQgDFTHQLGBET5XEX1Tj/BtdEkpcsgCEK9KBxvUCQSISIiQs2HJwhhIIC5rqDmuYIK7PmpK0AQBFHK3UmsLE1yWVtUqiCxiPD2LTy1aUL0B3cSqzwsMcpb8pgZUqEjP9KTJGP0vGJiGFl9sMSI8UFZEjAGjVsLJwdLLmCUU0HAYEE8/5h5iAsYk1QUMDLFkiCeXMDovJwEDIIoKyLGsSPH0K1Td7hXqoEeXXohMzMTUydPQ1RUVMnUkCA0IDuJKjnMiVKMAIQaGVrZTabsJAShOPc97mPPrtzuuITmBfb8OKgno2IFiZjg7RdeaBmJHwQK03zcSaRpQQuLh8HQN83tTqJnYA4DUyckRr4pMzEwmIDhaK+6gMHO1+bpBxAfncRjYFRWQcAQpSUg6Pb/EOV7DdW7rIBrwwlKl0EQxCcQMTat34RFCxajS9cu+HnVCskHtLXRuHFj/LV1WzFViSA0gyyBiRjSJgppfi8EtHKoGNS7BKEIgYFBWL92Azas20gnTACWGB8H9WSwIJTMzcTHL0IhSwwDY33oG+rles+pksQVJeR9weWkJ0vez8udhGFmXxMJ4a9R2jlz8QkGjlvDhYsz/85BeSdrpcsIfheBzTMOIC05HVPWDELlBi5Kl8EyvdzfPwgpUU9Qq/sauDYYr3QZBEF8AhFDLBZjy+9bsfOf7Zg99xu069BO9l7T5k1w5b8rxVgtgij7ZAp1wieAZgvKnURLYJ1LEEWEud+u+OlnLFy8gM6lQGJifBzUk6Gvrws3Fzt4vgsutIyEmOQ8g3oyrJzMucAR8i6ywDLSEvN3J2GY2dVAcow3xBkFu6V8Sg4cu4MRUzagaiUnnD80D87llA9C6vsiGFu+Oshv0NM2DFEpC0lKfCA89vZHYqQnnJquQPm6I5QugyCITxTYMz4uHqIMERo1aZTrPSsrK/4+QRCKoS0ASwwhTXOFqE8JsMmEBpKYmIhjR47j1InTcHYpj9VrV+XaJzQkFJs3/g5PTy8e5HzchDFo0rSJ7P19e/YjIUGSkUKe9h3aoZp7NaxftwETJo2DlbXyT5CJsmmJYWudW8Rg1KrhjKcv/Aotg8W7yCuop9SS06mybaGWGGmJodDS1oOeUd6uF6Z2NfmVPDHSCxZO9VHa+GvXFcxauAtNG1bCoR2zeJwRZfF64Ie/F5yEiYURt8CQuuIoQ1LUOzw8MAwZqbFoOGgXEtIrKl0GQRCf0BLDzNyMR0J+8zq3/xy7sTu7KO9bRhBCIitTPjuJ5osYWkKc7moJq4lCFG8IzSE9PR0d23bGyxcvYWpqAs83nrn2iY+Px6B+gxEYEIhpn0+Bi6szRg4dDY97HrJ9oqOiEBEekWtJTU3FwwePcO3qdTx6+Bi7/9mNpOQk7Nq5q4RbSpQUSclpiItPgaN93mk/a1d3gX9gFOLiC7Z+iI9MhJlN3pYYDKfKdgj1icqRuv1jUhOCYWjmBC0t7XzdSRgJ4S9R2lj7+xn8b8E/aN+qBo7vnq2SgPH44htsn3sclnZm+GLjUJUEjLiQx/DY1x+ijGQ0GnYQNm5tlS6DIIhPbImhq6uLnr16YOrkz7Fo8UJUrVZF9oTi15VrMGbc6BKqIkGUTVgQXCEipImuADQMOQFOEtqTIEr6OspEB4979xESHIKMjAzY2tqibv26aNK0MYyN85/4fYyenh4uX78EU1NTLP3+B4SF5c4asevv3UhOTsHvf26GgYEBOnTqgHdv32PNqnXYf0gSpHP6V9PzPcaTx0/RtGkTLmqkpKTwSWdEZMFuAETZJSRMEmwzv8CTtapLHvi98gxCiyZV89yHfUeYiGFpnzs4qBRmiZGRJuLBKh3c8naxSI0PgqF5+XzLMLauDG09I8SHPgHqjUJpQCzOxLwf92Pz9ovo3a0hdm6YBsM84oIUBHvgemXPfZzdeguutZwwYUVfmFoqfl2QEuZ1Bs9PTYeekTUaDtsDM7vqSpdBEEQpEDEY3y9dhPFjJmLyhM9kgQlbNGmF/gP6YcSo4SVVR4Io82grnMxYAxDAPJcNmoQCBWwlPgWpqWnckuGfnbvg7+fPhQcbWxv+gCU2JpZnSGPbBgzqj6lfTIWzc/6TNylsHMM+UxC3b95G67atuIAhpUu3zpj37XykpaXl2J4X9RvU4wsjPDwCly78h69nzyrwMynJKVzwkMLaR5QNgkMlfcXSgOZF7RoSEePFm4B8RQyW/jNTnAUrh7xdUhiuNRz52v9VaP4iRkIQbNyy49d9jLa2LiycGiIm6D5KAymp6Zg0cytOnH2IiaPaY82Po6Grq6NUGWJRJo79dgV3jz9D7TZVMGJR9zyDoxaG34Ot8Ly8BGb2tdBg0D/cooUgiDIsYlhaWeLIiUO4eeMWXr18JclM0qQxGjZqUHI1JIgySlZWpqCe2QtpsiuENuaJgMQb4tPB3FgnT5gCExNjjB0/hseaqFylco4sT0wguHvnLo4eOopuHbtjwffzMXJ00YPvBQUGoUbNGjm2OTg48GDnYaFhcK3gqnBZxsZGGDVmZKH7nTt1AccOnsy1PcA7hE9w1QF72u/rFaCWsjQFdZyT50/e83VWWnqeZWmJM2FspI8bN1+iS7O8RQxpwM50cVq+9WF11TPUxfObXrCrkttiI1OcjvSkCKRlmBbYJi1DdyT538L7Fy+go2/xyb4nMXFJmLFoL56+CsD/JnXGpOFtEOhdeABUedJTRbiw9S78noWibqcqaDWsHoL9Q5UqIytLjIjn6xDr/S+MHVrCofEyhIaIgJDsc0C/ndzQOckbOi/Ff07cqrkoJmIwmHDRtl0bvhAEoTjy3iQCCIkhLLKE06+UnYQoaZISk7BoyUJ06941333s7e3Qt18fvrx7+w6PHj1Wy7EzRCLo6+vn2GZoaCh5L0OkVFnM6uPL/80odL/uvbuiXac2OSwxls5bDpdKTrC2UU9wUDaIlB/8Eeo5JxmXX/B142bV8w3u2axRFbx8G5rvsWIDJPEyqtWvCOdqDvkeq2Kd8oj0i8uznOQYX7xjgptbDbgU0CZT3U6I9toOc6NQ2FWu/Um+J96+4ZgwexP8AiOx7bcpGDaghdJlxIYnYOf8Ewh+G44+M9qh7dCGSpchSkvE89MzEOt9Hs71xqB6l+XcWuVj6LeTGzoneUPnpWTPSaEiBkEQRUf+CaKmI4SH9QJoYq7vrhD6lSgd5JUVrSCqVK3CF3VgaWmJ2Nic7hwxMZK4B1bWygcKVAQjYyO+EGWP4NAYnkrVxip/NyUmYvz82wlExybC2tI0zwk5w7IAdxKGW51y8Lrvh8SYZJhaGeeKh8EoKCYGw6J8Y0BLGzEBd2BXuTNKmlv3vDBy6gZkZIhx9J+v0b6VJNioMvg+D8bfi04iLTkdo5f2Rt32eVu4FAQTfR4fHY+kSC9UbbcQbk2/ENQ4jSA0gQI99Znp5Df/+xYd23RC4/pNcyzdO/couVoSRBlEPoq4EG6OWgJwmRE6WYKSb4hPhfd7b1y5fDXHtrjYOB4bQ54XL17i8MEjaj127Tq18Ozp8xzbnjx+AicnJ1hTylTiI0LCYnk8jILu8c0bSwQ2j4cS15OPiQ1LgK6+Dk8LWhCV6kkEinePcptmpyRIRAwj84IzB+oZmPO4GJE+V0q8L7fvuYpeI1bCzMQIF4/MV0nA8Dj9AltmHoSung6mbxqmkoAR6XMVd3f1QFp8MI9/UbHZdEGM0QhC0yjQEmPmjFmIjIxEv4H9cgXDUiYiOEEIfcInpPujICa6WcIRbnJ8d8kcgygBmDhx4dxFdOjYXrbt2rXrfNvG39fnEjsGDRmotmMPHT4Ug/sP4QE5O3fthKCgIBw6cFih2BaE8AgJjUE5h7wzk0hp0kASz+W2hxe6d5IEfZUnJiwelvZmhU6kK9QuBwNjfby+64P6ndxzvJcaH8jXhmblCq2zXaWOeHdzZaHZTNQFc8Oas3Qf/vznMtq2rI5dv08v0HIlvwCepzZdw83DT1CxbnmM/bF3LmsURQJy+93fAq9rP8HYqiIaDNgJExv1WHARBFGKRAwWGfzB/Qe4+/A2T2dGEIRyZMlbYghgsiukea60iULo1ZzfXQF0LqHRzJzxP/j5+nNxgsXe6N9bIoDsP7gXhkaGaNS4IRb/8D1mfP4lnJwcERwSgq7dumD6l1986qoTpZDgsBg0qlepwH0szI3RuH5FXLz2HD/MG5KnO0lhriQMZn3g3rQCPO/6cktPbR3tHO4RLDWorkHh5dhW7sxFjEjvy3CuPwbFSWR0AsZ8vhk37rzB1PGd8POi4dDTU86TnaWf3fvjWbx/HIjmfeug38wO/FwoG//i1YU5CH19FLaVu6BO743cKoUgiLJLvlcSbW0tGJsYk4BBEOpAAKYYAmiioKfyQmwzoXlM+2IqUlJSc23XN8gO5jl+4jgMHjoIvr5+sLO1hYNj/sEWCeEiFmdyd5LyTgVbYjC6tK+D5WuPc8sNJ0erHNYBUUFxcKkuSaFaGNVbVMSzq28R8CYMFWplpwFNjvGBsVXBYooUM/vaMDB1RNjbs8UqYjx44o2xX2zmaWjXrxjH06gqC3Od2fPDGaQmpmHQ7E5o3reu0mUkhL/C0+NTkBzjjUot/ofKrb+FlpaQ8t4ThMBEDBadu2rVqtwag6VV/RQc2H8AJ46dRHJyCpq3aIbpX30BExOTfPfPyMjA+bMX8O/+A4iMiMTRE4f5k5WilksQqpCJbEsMbQFN8AWFAPo1h4mzEMxsCI3m4/Sp+cFcaGvXrlXs9SHKdlBPFqDSzdWu0H27dqjLRQxmjTF2WFvZdhakkwWotHVWLGhsjeYVoa2jhadXvHKKGLE+sK3YUeFrumP1vvB/uA1pSREwMCm8/srAhJktO//D/J/284wtZ/bPQcum1ZQqIzMzC5d3eeDCjjuwcjTHpF/6w9ndQel6BD3djTeXv4eOvgkaDtkL24rKCykEQZQ1d5KUVNSpWxuTxn+G0WNGwcU1Z3oUIyND9BvQr9gqtmXzH9iwbiOW/LgYtrY2+GXFSh5ca++BPfl+hueVNzZGzVo18MfmrRBnitVSLkGoQqY4S1izXSHNcz80UhC9Kq9hkD0GQRAExzcggq/dXAoXARrWdYOdrTlOnX+cQ8SIDJJkwrEpr5iIweJAVGvihscX36DXtDbQ0dVGRlo8MpKjYGzlpnDPONUcBL8HWxH65jgqNJqsth6NT0jB9Dk7cPT0fXRoXRPb1k+Fva1ybhtM2Nm37By8PPxQu20VDP2uK4xMDVR2H7FyaYE6vTfD0EwxaxeCIMq4iJGQmIC9e/bx139u/SvX+3Z2dsUmYrB4HBt/24Svv52FIcMG823lypdDt049cPvmbbRs3TLPz/2+dRMPOHr+3AW1lksQRUYAphia38JshKDTfNyvghCniFLDqROn+JLXdnl69+1dgrUiiGz8AiL5uoJL4XHjtLW1MaBXY2zfcw1RMYmywJZRgRIRw05BSwxGo2418OauD0+3WqNFRaTE+PDtirqTMMwc6sDEpiqCn/8L14aT1JKd49lLf+4+8t43HPNn9cPcr/pCRy5uhyK8uvUeB365iJSENPSd0Q6thzRQum4xAXfx/MxXSI0L5O4jlVp9A21t5eJwEARR+sn3V81ECi/vN/gUPH3yFImJiTkik7tXd0d55/K4VYDYUFjGFFXLJQhVYKaMUgThfflhnCGIua4gGvkByk5ClDA1alTHN99+rdC+Vd2VT7FIEOrA1z9CYRGDMax/C2z9+zKOnrqPyWM68G2RH0QM63IWCh+3VuvKMDQ1wL2Tz7mIkSQVMSwVt8RgwoBzvTHwvPw9YgLvwtqlBYoSG2T91nP4YfURHsT0xO5v0KGNcq5Y6SkZOLHxGm+TfQVrTF41QGn3kUxRGg9Y6uvxOwzNnNBo2AHYVGitZGsIgigrKCxNikQixMTEcHGjuAkJDuZrewf7HNsdHBwQEhxS4uWmJKcgJSVF9n9sjOSmQxAFkZUppJmu3FxXQI/shRDMVJuykxAlTNVqVflCEKVdxLC3M4exkWKuDk0bVkZFVzvsOXQzW8QIioWFnSn0DfUUPq6egS6a9qqNGwceIiIgRs4So6JS9S9fZwTe31wF/wdbVRYxAoKi8NmsP3Hzrie6d6yHTasmwMFOcUGG4f8qBPt+OscFnVaD6nM3GdZGZUgIf4nnp2YgMfINnGoNQfVOP0LPULl6EARRtij0KnHsyDH8vmkL3r19DytrK3g8uovPp3yB5b8sg42NTbHllJYGF5WH/Z8hyijxcs+duoBjB0/m2h7gHYL4qCSoC5Yyy9crAEJACG2NDIuWvU5OStb49kqtE1hALk1va6acUKPpbRV9uG6yeBj+74Oha5At6GoqQrg+FWdb3arljKFFEJrqTqJIPAx564dJoztg4fIDuP/4PZo0qMwn7ooG9ZSnzeAGuHnoMW4cfISq7j48vaqyk3ZdA1OUrzcKfvf/QELEG5jZVVfK0vTAsbv4etEupKeLsW7ZWEwa3V4p1w9mfXF+223cOPQYZlbGmLx6ANybKm5NwhCLUuF9Zx18723m7anX7084uJOLGUFA6CLGpvWbsOX3rRg3fiwmT5nMg2Ayv77GjRvjr63bMHfenGKplJWVlcziQd5qIjY2BtWKYDqqarnde3dFu05tsvePicXSecvhUskJ1jbWUBdsICmUwZ8Q2urt5SV7bWpuqvHtlY5dWOoyTW+rvAmGprdVVz/7NuFSqRwMTBQznS7LCOH6VJrbylw/k5KS0bKVYk+HAwOD8PDBQ/Tr37fY60YQ8oE9Wzd3V+qEjBveFsvXHsPGvy5g58ZpiAqKRd0OymXuYFg6mKF+Z3d4nH4JC4MAmNmoNjZ2a/oFAp/8g3fXV6DBoL8V+kxQSDT+N/8fnP3vKRrUccO29VNQrXJ2phRF8PTww+HVlxATGo9G3Wuiz/S2MLEwUqqMaL9bPHgnS53q4N4H1Tv9BAPTnJbWBEFoLvm66ovFYi5g7PxnO2bP/QbtOrSTvde0eRNc+e9KsVWqdp1aXM198uSpbFtcXDzev/NG7bq1S7xcI2MjLlZIF0sr5VVzQnhkZWWnWBWA14GwMlhkCadfcz5ZE0DfEp8cHR0dfDV9Jgb3H4ID/x5EeFh4rn0SEhJw+dJlzPj8K3Tt0A3RUdmWbwRR3KSkpiMkLBYVlLDEYFhZmmDMsDY4duYBHt5/j9SkdB4DQhW6TZSIfE9uOcDUVnErCnlYetUKTT5HxPsLXBQoiMzMTPy56zIad1qA/268xPffDsTlYwuUEjBY5pH9y87hr9lH+LOAz34diOHzuyklYKQnR+LF2Vl48O9gZIpS0WDgP6jXbysJGAQhMPK1xIiPi+dmxI2aNMrTooG9X1w4Ojny4JubN/yO1m1a8YCdG9Zt4Hnbu/foJttv+rQvUblyJZ5tRJ3lEoTaY2IIIrKnENF8GSOnhkEiBlH81K5TG1dvXsbWLX9i5fKVmPP1XG49aWtrCz09XURHxyAoMAi6erro3bsXTpw9jipVKlPXECXGe58wvq5WSfm0nd980Qv/7L+BpauOoDr04FhRNes2aycLNOtVEbePiREbK8l2ogpuTaYh+Pk+vDw/G+Vb/5PnPq88gzBz/t+4c/8tWjSpio2/TIB7FcXFC1GGGLeOPMGlnXeRlpKBdsMboeuEFtA3UjwWSKY4Hf6PtsP79lqI0hNRofEUVG49B7r6JgqXQRCEAEQMM3Mz7vP25vUbVK+RU+H19PSCs4tzsVbsl19/xhdTpqNR3SYwMTGGnp4+tvz1O8zNs/NNe7/3hqGhoez/zRt/x8njp/gTGsagfoO5afvSnxajabOmCpdLEMUbHFHTc3FC4xFAE3N1rLDaTHxq2MOFr2fPwoyvpuP+vft48OAhQkNCkZ6eAVs7G9SrVxctW7Uky0jik+D1PpSvq1ZWXsQo52iF6ZO6YPWm0zB3rATHiqrHl2vSWRuPzsfh8r8GaNg7HYbGOWO+KQKLJVGz+2o8OjgSka82olLN32TvxcYlc/eXP/7+D8ZG+ljz0xhMHt2eu5YrCksHyzKPRPjHoHIDF/T7qj2cKisu3LC5SMS7C/C6shTJsT6wcm2F6h2XwsxeuQwoBEEIRMTQ1dVFz149MHXy51i0eCGqVqvCt7NBxK8r12DMuNHFWjGWBeXg0QM8awjLDFLBrQI3MZVn4+8bYCgXFXrgoAFo1z7b7UWKawUXpcolCHUHf9TS1nwRQ0tAk11p1wohO0nOJgqhd4lPTWRkJGKiY3iGEhZ4u1WbVnwhiNKC13tJRruqlZSLBSHl6y96YfvfV3A1Ogi6Jspl4pAnPekdatU7i4d3h+PQyosYtbinUsE1pdhW7MBTrgY+3YXgl63hUH0Qdh24gcW/HEJUdCJGDW6FpXMHw9FBcXdq/1ehOPfXLbx94A8rR3OM+aE36rSrolT9ov1v87SpsYH3YGTphvoDtsOuSneV2kgQhGZR4JXz+6WLMH7MREye8JnsgtGiSSv0H9API0YNL5EKOpXL/wZRuUqlXO4ibClquQShDliWDkKzEcIwSn6syJ6IEURxc/vWHVw4dxEbf19PJ5solbz1DuHpVS0tjFX6vLmZEfq6u2Pnw8f47of92PDzeJXKSYz0hGOFVHSu3gyXdt7jrimdxzVTqSyWljTC/wl2bv4ZR17ewRvvGDSqVxGHdvyPZ1JRlOD3ETj/1228uuUNI1MD9JjSCm2GNFQqbWpMoAdP/xrtfxN6xjao1mExXBtMgLauYulsCYLQfAq8orAAlkdOHMLNG7fw6uUrSWaSJo3RsFGDkqshQWgAQnhqICBvEkG0UcaH7y7TL0jEIAiCALzehSqdkePjhxwWydroUs8dO/ZeQ71aFTB5TAely0mMfMODerYd0gLhvtE8ZameoS7aDcsdz64wbnh4Y96BRnjmGQo7sxD8Oq8zPps6QWHXEZ/nQbi2/yFe3XwPPUM9dBrbDO2GNYSRWbbbd0FkZYoR8f4iT/kaE3gXeoZWqNp2PlwaTqS4FwRB5KJQWZRdvNq2a8MXgiAUR37Cpy0AdxJSMTSTnHE9BSXfEARB5IJdB996h2JIP9UsHhixofFIT8nAzEmdkW6ijW++382tOgb3VbzMTFEakqLewdq1NR9jjFjYHaJ0MU5tuo7E6GR0/6wVdHS1C804cuHKc6zdcha37nnCxsoUP8/vg5pYC3HCYgQ8zoJrw0n5PogRi8R4edMb1/99CL+XITA00Ufb4Y3QfkRjmFoqZqWSkRqLkJeH4f9wG495YWDigCpt53HLC10DM4XPB0EQwkJ1RzyCIAokSyysCZ+QLDGkCMDAJufgVS5tMEEUJwEBATj476FC93NxdUHzFqpPJglCWVhq1cSkVKWyc3xM8PtIvnau4oC9W2eg/5hfMfGrP5CQmIoJI3PHdsvPCiMrMwPmjnX4/7r6uhjzY28cWnUJV/c9QMCbUAz+tgtsnS3zTBF7+KQHfvvjHF57BcHBzgI/fDcY3VtVR816lZGR0gHPTn0Bz/8WIfL9JdTo8jOMrdxkn48IiIHHqRd4cP4VF0ws7EzR+4u2aNanNgxNCnf5yMwUIdr3OoKe/4vwd+eQJU6HmX1t1O61Ho7V+0FbR/kApQRBCAsSMQiiBBCCO4mQyBKQVCP96gqpzcSn5+njp3wpjN59e5OIQZQonu+kQT2Vz0wiJchLkqK1fDV7Hjfi2K5vMGzyenz53U48ePIeKxaN4HEzCiIuVPL7MHesJ9umq6eDYfO6okItR5zcdB2/jv8HrQc1QJshDWBua4qXnoHYufca9h+5g5i4JN6Gjb+Mx/ABLWFoqAdfrwBejp6RFRoO2g2/B1vx7tYq3NrWFiaOwxGX1BZeD+MR+CaM3xuqNqmAZr1ro2aryvzYBZGRGof/t3cX4FEcbRzA/3EhxAmEEMGiuDvFpVBaKBRtaUvdjQo1qrSlULePChVaoFCKWwUv7pIASSAkIQlxt7vvmQk57ohdjtjt/n/Pc1zY293b2b3bm3135p2UCzuQeG4Trpz/C4V5qbCydULzsInwaT8ZLs27sq5EREZjEIOolmigrtFJSqmix4EaylgOdiehujJ0+FC8+fbcKudzcKj8Qo+opp0KvySfg9v6mLyOS+GJ8PRxlQEMwcXZEWt+eRavvLscny3ajE1/H8drs8fjjlt7w9a2/Kp6xuVjsLJxRCO31mVumvQe1xHBPVtizefb8MePO7Hwmw2I1eYgJiUdVlaWGDW0E+6eMgDDbmpfbs6LosJiXLmUiqTkAUjMaIqzB88jK01sx1m4uKWj62B7dB0RiuaBobB39oGVXgBDdHMpyE1GTmo0spPPIjPpFNJi9yMr6Yz88RSBC8+Wg+HVdiS82o6QZSAiqi4GMYhqiVajrqb31xqbqOcK30JlrYgYxKC6Ym9vz1HEqEE6eeaSbCXh18LDpOXFefRSRAJad2phMN3GxhrzXp2CW0Z2xVMv/4SHnv0Ob87/A1Mn9JHTOrbzlwGIUhmXj6Jx0/awsNQLIGg0uHgpGfuPRGL77tPYsecMzsWWtPrwcnBET9dmCHJyQ/MUe5xfeQaJ22JgY2stb7QU5BUiOS4NBblFSI5Ng+Zql1g7R1u0bN8G/mGuaOJ1GrnJ+5B5+RiidhQjakfJ+1pa2cHCygZabTE0hbkG5bK0toeLd2e07P043H17w61FL44yQkQ3jEEMolqi0csfYAHjsnsrgVZNZVRFFENtzWyIiCp2/FQMwoJbmNz1ISM5W+aRaBHUtNzX+/QIxJ6Nc7FuyxF8/u1mfPjFesz/fB0aOdqhQ6gffFt4wMujEeKOFMG5qR9+PfUTEpMyEHc5Bacj4mS+DsHB3ha9urXBzCkDMW5UV/j5eCD6RDwunoxHbEQi0hIzEXM6AcWFxXK0FDEEqo29lWwhEtK7FZq19IB3a094t26ilyBUjKDyMIoKsmUQJSctGnnpl1BUkAmtpkg0O4WNvat8OLoGwNG9NRxc/WBpycsNIqpZBmeV3NxcLPn5V6MWdHR0xJRpk2t4c4iUSRWjk5RSwXWuCopYbsJWxjCISM2KiopxKuIS7po8wOR1xIaXtIxoEehV4Tyii8fYEV3k43JCGjb9cwwHjkTKAMrO/8KRkJSG4mKRaDMTjg474eXpAu+mrnJ0ExFg6Rjmh64dW8LOzsZgvaL1x/UtQPSJnBgBgb5VlsHathHc/frIBxFRvQcxsrOz8dnHnxu1oGcTTwYxiCqh1ejlxFBBDENVo5NcLaSFGppiGHx4VXF0qZ7dMm6sfBA1NOeiEpCfX4T2IX43lA+jNKmnMZo1dZVBE/3AycVDP+D0lhfR995tcPIMNHlbiIgUEcTw9PTE4RMH629riJTE4La1Ci521UgFh1W/IxRzYhCRmh0/XTJ6R/vQqlsrVETkw/DwcYFDY3uT15Eefwg29s5o5NHG5HUQEZkz9XTUJ6pHqmiJcW0sTsVTQRGv0Tus7E5CRGp24tRF+VsXEmjayCQiEHzx5GX4hpg+PKuQFrsPrj7dYGHBajwRqVOVmXbi4+Kxa+duxMXGoVhTrJveqFEj3P/gfbW9fURmq1i/O4mKcmKo6QJfDUdV12VGRDAYxSAilbfEaNOyqUyyaYqkmFRkp+cioF1zk7chPysRuWkX4NOeeemISL0qDWJs+3c7HrrvYTg6OiA1NQ1NmjTB5cuXZRS6W/euDGIQGZkTQw3UcEFfqvRaXhVl1iukVm/EHSIitRGJNXt1a2vy8hdOxMvngPbNb6gVhuDq08PkdRARmbtK26G9NfdtPPfCs1i/ZT3c3N3w38Hd+GvbVrRp2wa3T5pQd1tJZOZMHYrNrKinN4mqWKrhs0tEVIX4y6mIT0hD5/b+Ju+r6ONxsHOwQbOWniavI/XSPlhYWsPFu5PJ6yAiUmwQIz8/HxcuXMCdM2fI/vzFRSVdSVq3aYXX5r6CZb/9XpfbSWR2tHqX86q6EFRBlwPll7CCMqvg2BIRlefgsSj53LVTqxsKYviFecPK2vRcFmmx++HctAOsbBxNXgcRkbmr8CyakZEBZ2dnWFlZwcXFBVlZWSgoKJCv+fn74XJ8SZM4Iiqfpljvgk8FMQxVDbF6lSpiU3qF1KisixQRUakDR6Jkq8rO7QNM2ikiF0bixZQbyodRVJCDzITjcPXpzgNDRKpWYRBD/4abra0tWrTwwaqVq+T/V638E15Nm9bJBhIpoSWGKrqTqImKruUNc9KqqOBERHoOHY1CYGtvODd2MGm/XDhZcvPP/waCGOlx+6HVFsPNtyePDRGpWoVBDBtra7Ru01r3/8eefAzPP/siAlsF4+OFn+D+B2fV1TYSmT1LS0v1tMRQwXWuCopY5siqq8xERIZDo4ogRrdOLU3eLZFHLsmRyvzDTB9eNTl6hxjuDG6+fXh4iEjVKhydRCTyXPr7r7r/j7/9NgSHBOPkiZNo36Gd/JuIjBudRBUNMVRRSPUVWb+MWg1HJyEi9TkfnYC0jBx06Wh6EOPcoRj4BjeFfSPThmcVki9sh3OzjrCxdzF5HUREih9i9XqhYSHyQUTG3bm5RgVXu1fv1avhjn1pGS2gpiiGViVHl4jI0MEjJUk9TW2JkZORh7iziRg03fRhUQtyU5CZcAItez3Gw0NEqmcQxMjNzcWSn3+Fo6Mjbh0/Tv5dETHPlGmTVb8DiYwhmpAqne6CXg3XuWroM3MVU2IQkdodOBIJGxsrtAv2NWn584dj5M9G2y6mLS+kXNwtf2Dd/fubvA4iIkUGMbKzs/HZx5/Ds4knho0YKv+uiJiHQQyiimn0mt6r4449VEM9IYxrSWlL2mGoqeRERCX2H45Eh1A/2NnZmLRLzh6MgbWt1Q0l9Uy5sAOW1vZw9enGw0JEqmcQxPD09MThEwd1/9f/m4hMz4mhBhxiVaEs1PuZJiLKzMrF4ePReOTeYSbvjPOHYuTQqjZ21erFbSAlegdcfXrAytqeB4WIVK/CIROKiooQER5R7deIqCxLKxU1U1ADFV3L64YHVlGZiYhK7Tt0HsXFGvTraVpC+/SkLCReTEGbG+hKkpN2ETlpUfAIYFcSIiKhwpBwSkoqpt4xHQeO7KvWazVp27/bsebPNcjNyUWv3j0xZfoUWFtb39Ayb7z2JqKjog2W6du/L+69755aKwepk0Yvb4IaupNwiFVl06osFwgRkbDjv3AZzO3dva1JO+TcoYvyuU1XP5N36JXIrfLZs9UQHhQiInGD2JS9kJ+XBwcHh1rdgct+W4b77r4f/v7+Msjw1Zff4IlHn7rhZfbv2w83d3dMmzFV9+jdp3etloXUyXB0EhVQfpxGlUOs6uek1Q/MERGpwa694WgX0gJuro1MWv7M3mg4NLZDi6CmJm9D0vktsHf2gZOnaa1BiIiUpkyzBjFCybLfliMrKwt5uXlY/P2PZbqS7N65G61at6q1jSosLMS8t9/Ho48/gseefFROCwoOwoRxt8sWE126dr6hZVq3aYUhwxjNptqlnz9ADaOTlFJD8sdrQ6yqLVKj/GNLRFQqN68AB49G4Z6pN5m0U4qLNAjfG42gHgGwsjbpviGKCrLlyCQtOky91r2PiEjlygQxxAgl89//UDYb1v2tx87WFq3atMbcN1+rtY06dvQ4UlJSMHL0CN20rt26oGmzptj277ZygxjVWWbLpq04dvQYmjVrhiHDBqP/APYxpNplpYIgxrUSKr+sanKtzqxlDIOIVJcPo6CgCP16BZm0/MXT8cjNzEdw75Y3NCqJtrgAnq2GmrwOIiLFBzHECCXHTx/FlStXMGXiNGz5Z1Odb9SlmBj53My7mcF0b29vxFy8dEPLODs7o2OnjggODcbpU6dx390P4L4HZuGZ2U9XuD0iv4ZooVIqLTXNxJKRmhi0vFfT3RMVdDnQFVEFx1U/nwtHJyEitXUlEfr2DDRp+TN7ouTPRFAP/xvqSiKGVnX362PyOoiIlKbCLJkimFEfAQyhoKBQPl+fd0P8v7Cw4IaW+WrRl2jcuLH8+5ZxY9G6dWvMfuZ5TJoyCb6+Lcpd98a1m7Fq+Zoy02Mi45GRnI2aoinWIDqiJBijdGooa3pqhu7v1CsZii+v/gW+WsoqLu+VXtb83Hz5LOI2ly8lIE+r7PKq5fxUm2UNCDR9FAaihmTn3nAEtWmOJh7OJi1/ek8UfEO94eTqaHJurSvn/4KH/wBY2dRuLjoiInNi+oDVtcjZpeTHIi0tDU2aNNFNT01NRavWLW9omdIARqmhw4ZAo9Hg5ImTFQYxRo4ZjoFD+hu0xJj74jvwbeUNdw931BRRkVRL5U8NZXV2vfZZc/dyUXx5dX11LSwUX1Z9Si+rfSN73d/NWjRBs7bKLq9azk9qLCtRdYhuJPsOnse0if1M2nFpiZmIP38Fw+81PXl8ZsIx5GcnwLM187gRERkdxEi4nID3583H4YOHkJGZafCap6cHNm7dgNoQGhoin0+fOoMmA0sCEjk5OXJo1Ol3TquxZYT09HT5bFPJ0K0Ojg7yQVQdGr3EnpYWpiX0MielMQw1jMqipsSeuqFzr/tMExEpmUjomZdfaHI+jDP/RcnnkF6m58NIiFgnz8Jeba7leyMioiqCGGJ4UpEbY9z4cXBycjJ4zdHRtKZxxvD180X3Ht3wv68XoW+/PrCyssIP3y2GpaWlQeLO11+ZK+cVo48Ys0xUZBRiL8Wi34CSqHp+fj4+eO9DuLq6omfvnrVWHlInLTT1vQlU21QQxTDIhq+CABURUWlXEqFfD9PyYZzeHYXG7o5o3tbLpOXFDYGE8HVwbdEddk6mD89KRKSqIEZeXj4O7D+A/w7ulvkx6tr8hR/grmkzMaDPTXBzc5MtKhZ8PN9gW/b+tw+ZmVlGLyO6nLz9xjt48fk5aNGiBc6dOycDGN8uXlQmSENUkywsVdASAyqiVU+ZVZC7lIio3KSerQO84N3Mrdp7Jz+nABEHLqDbyFBYmjg6WdaVM8hJjYRv55k8OkRExgYxxEnXsZFjvQQwBP8Af2zdtkUOnZqXm4t2HdrJkUX0zX3rNTg5NTZ6GQ8PDyz64X+Ij4tHVFQ0mjZtioCW/rLVBlFN0x/JwVIVl7sl1HCvXg1lvEZvdBK2xCAiFSgqKsZ/B85h/JjuJnclKSooRvuBbU3ehoTwtfK5aeBok9dBRKS6IIatrS3atm0rW2N0694N9cHa2hpdunau8PUePXtUexnBu7m3fBDVJrVd8Knyjr0KCm1QRJV9polInY6evICs7Dz062laPozj28/BwckOrTuXnzDe2HwYLt5dYO/sY/I6iIjU150kNw/tO7TDvTPvw/QZ02TOCX0ODvYYd9u4uthGIrOknwTRwkr5F7tqvM5Vw1HVz4khRnIiIlK6nf9dzYdhQlLPwvwinNkThXYD2sDK2rSWvlnJEci+Eo7Am141aXkiItUGMTKzMrHkl1/l3//7ZlGZ18UwpgxiEJmQHFGx1FBG9QVq9A8rBychIrUEMXx9PODXovpdqs8euID83EK0G2B6V5LEcDEqCeAVeLPJ6yAiUmUQQwQpIiLP1O3WECm0O4kaghgqKGIZaiiyhX4pVRW9ISI1Ki7WYPf+CIweWnnX5Mq6ktg62CCoh7/JdYfLZ1bDuWkHOLr6mbQOIiKlM3rIhKKiIiQlJdXu1hApNLGnmi7wtWoqowqOq+EIq+xOQkTKdvLMJaRn5JrUlaS4qBindkUiuFcAbOwqvE9YqaykU3JkEu/Q8SYtT0SkBlUGMVatXIURQ0YiqFUIRg27WfaJfmDWg0hOTq6bLSRSAEsVRDEs1BTFUBGDnBg8tkSkcDv3luTD6NszsNrLnj9yCTkZeWh/A11J4k+tFOOyo1nIrSavg4hI1UGMzz/5HK/MeQ3Dhg/DvA/eLVnA0hLdunXDom++rattJDJLGr2reQsTx4k3J6XXuuq4zi0ppfKPqqCf2FMdR5eI1B3EaOblitYBTau97JGt4bC2tUJw75YmvbdWU4z4U3/Aw78f7Jyq//5ERFB7EKO4uBhfffkNfvjxOzz7/DMYOGig7rUevbrjn7/+qattJDJLbHmvfCpoYMMhVolINUQ+il17w2VXkurmsioqKJL5MML6toa9o61J758Sswf5WfHwDp1g0vJERFB7ECMjPQNFhUXo2r1rmdfc3Nzk60RkbGJPo9PPkBnQaksrt8qPYljqtSLScohVoiqlp2fgqceeRsewzgjwaYXflizlXjMTZ87GITkly6SuJGf2RiMvKx+dhgab/P6XT62EpbU9vNqONnkdRERqUGHWocbOjeVF2JnTZxAcYnhCDg+PQAvfFnWxfUSKILphKV3pXSs1dDjQqrQ7iRqOLdGNeun5OSgoKMBf27bA07P6Q3RS/efD6NczyKSuJA5OdgjuadqoJMWFuUgIXwuvtqNgbedk0jqIiNSiwisra2trjL55FB6Y9RC2bv4LuTk5cvrl+Mv48P0FGHfbuLrcTiKzHp1EDa4l9lRRuVUQxTBoUa2mY0uKlZeXj7+3/o3dO3dXOE/MxRj8teUvHDt6zKBVXZXrzs3DxvUb8ebbcxnAMEO79kbAw90JwW2bV2u5vJwCnNx1Hu1vagtrW9NGJUk6vxVFBZkclYSIyAiVnmlfnfsKZs64B7Puvk93l7V397649bZxmDJtsjHrJ1It/cEo1ZDYs5SaLnNVcVT1RydhdxIyY+LzO+/t9/DnqtXy/15eTbBmQ8nf+ua98x4Wf/cjOnXuhLNnz6JV61b4bvEiODmV3B3v27M/Yi/FllnugwXvo3uPbvBs4okF8xdi9ao1aNO2Dd6bPw9h7ULroIRUE/kw+vQIrHY+jJM7zqGooBidh1S/BUepuBNLYePoAY+AaznoiIjIhCCGq5srVq7+HTt37MKpk6dKRibp3g1dunaubDEiuk51K0TUsKmpQYKFwegk9bopRDdEJCz38PTAhi3r8OlHn+HA/gNl5tm+bQe++fJ/WP7HMnTt1gWpKakYM+oWfPThx3j5tTlynl17d1SaDyPhcgLGjhuDN995A0t/XYo3Xn8TS3//lUevgYu6kIT4hDT062FaVxJnj0Zo1cm0rtZ5mXG4EvUP/Ls9AEsrG5PWQUSkJhUGMYqKihB5PhKBQYEYMLC/fJT3GhFVQL87iQpiGGqM06ihzIZlVFH0hhTHxsYGDzx0f6Xz/PH7H/JGjQhgCG7ubpg0eSJ+/P4nXRCjMi4uzujcxfBGj2UViZ1zc3KRm5ur+39aalqV70M1b/f+CPksWmJUR1ZaDiIOXEDfCZ1haWVa/qu440vlkGYtOkwxaXkiIrWpMIiRkpKKqXdMx4Ej+6r1GhGV0Ojdrtcf4UHp1NRKQQ3RKf1WRNXJDUBkjk6fPoNu143KJpKbJycnIzExSXZBqcoHC9/Hs08+h/Az4QgMDsT78+dVOv/GtZuxavmaMtNjIuORkZyNmqAp1iA6IqZG1qUU1++TTVsOw9HBFo1tUK19dfyf89AUa9Es0NWkfazVanDh0M+wd++ApGR7JCXX33Hi54T7hJ8Tfn8a8jklINBX97dJ2Yfy8/Lg4OBQYxtEpHSWFefQVQw1tEoopaZLef3jypwYpHSZmZlwcXExmObm5iqfMzIyjApitGnTGqvWrjT6PUeOGY6BQ/obtMSY++I78G3lDXcPd9QEUYnUr/xR2X1yIiIOvbu3RZuQgGrtntUf7kQTXzd0H9bBpK6jyRd2ojAnDoEDnoVPPR8jfk64T/g54ffHXM4pZYIYoknjst+WIysrS2bZXvz9jwavi64kIqO3SHRFRJXQu2ttYWITU/OiniFW1RW4YUsMUg87W1uDrh1CdnbJ6Gx2dna18p4Ojg7yQfUnISkdZyMvY/L43tVbLjoZMacvY9T9fU3OfRV7bAmsbBqhafAtJi1PRKRGZYIY2dnZmP/+h/ICTPf3dT/wrdq0xtw3X6vL7SQy6+4kpExqiGHod+dX27DBpD6+/n6Ii4szmBYXGwdbW1s0a9a03raLatee/WdNyoexf8NJOfpY1xGmjT5TmJeGxIj18A6bAGvbRiatg4hIjcoEMTw9PXH89FFcuXIFUyZOw5Z/NtXPlhGZOf38AfojPCiVOlollFBTfMpSPydGvW4JUe27adBAfPj+Atl1xNnZWU5bv3Y9+vbrIxODkjLt3hcBGxsrdOtkfCvj4iINDm06jbbd/ODSpGT43eqKP7USmuJ8+HSYatLyRERqVWFODBHM0A9giAsyDhNJZBpTM5abEws1XuiqInCjF8RgSwwyczu270BmRiYuRF+Qw6GKAIUwYtQIWFlZYcrUyXJY1DunzpSjkhzYdwCHDx3B76uW1/emUy3678BZdOkQAAd7W6OXidgfjcyUHNwyKsyk9xT1atGVpJFHIFy8S0bDISIi41R5ZbX6zzW4ecRYhLQJQ/uQjrjj9inYv2+/kasnUi/VXfCpKIqhVVEMw6CFjQqOLSnbv39vw5o/18r8FmFhofJv8SgsLJKv2zvYY/kfyzBsxFDs/W+vTKy5ZsNqhIaF1PemUy3Jzy/E8dMx6NapdbWWO7DhFOyd7BDWr3rLlUq7tBeZiSfRotMM3iQkIqqmSkcnWfTNt3jnzXcxavRI3HLrWBTkF2D3rj24Y8IU/LRkMfr271vd9yNSDa3eFZ+l8htiqCmGoao+NPot8DTQ1Ou2EN2oV15/ucp5GjdujEcee5g7WyVEAKOwsBhdOxo/Kkl2ei5O7opE99FhsLEzaaA/XDi4CFa2TvBpd4dJyxMRqZl1Zc3cvvr8Kyz8dAHG3XotY/JjTz6Kd9+eh6+++JpBDCIjWehnRyQyU1rGMIhIYQ4ejZLPnTu0NHqZI1vDUVxYjO4mdiXJzbiExLMb4NflHljbNTZpHUREalbhlVVGegaysrIx9pYxZV6beMdERJ6PrO1tIzJrGpVd8KkpZ466upOwPwkRKdeho1FwcXZA6wAvo5c5sPEkvPzd4Rti2og1MYd+kBmiRRCDiIhqMIgh+oUWFRUhOTm5zGuxl2Lh1Ni0TMxEahzCwlIN/UlUOHKHKoIYlkzsSUTKbonRuX1Lo3+n489fwaXwRNmVxJTgfXFhDi4d+wWerYfC0c341h9ERGREdxKR9ErkvHjkgUfxxttzERQcBI1Gg73/7cOcF17G2HFlW2jUtNOnTmP92g3IyclBrz69MGz40BpZxpT1EtXUhaBSqaghhrqaYugVUqOmCBURKV5Obj7Cz8Vj9NBORi9zYMNJ+ZveZViwSe8Zf3IFivLS4N/1XpOWJyKiKkYneXveW8jOzsHIoaMR1DoEQa1CMHXSNAQHB+HxJx+r1f23ZfNW3DL6VtkSpFGjRpj99PN4/ZW5N7yMKeslMoX+BZ+lKq/wlUtNMQz9j67IlUREpBQR5+LleS0suIVR8xcXFePQljMI6hEAZ8/qt0gW73Xh0LdyWFV3/wEmbDEREQmVplRu0cIHazb8iR3bd+Lc2XOwtbFBaLswdO1Wu+NZixYfr770GmbecxfmvPqSnNalWxfMnH43Jk+9A8EhwSYtY8p6iUyltgs+dY1OcrWUKghO6QfgVDdsMBEp2umIOPkc3La5UfOf+S8aWak56D461KT3S7m4E9lXwhEy/D1V5ZEiIqppVY4LJfoIDrxpgHzUlZMnTiI+Ph7jbrs2KsqAgf3h4eGBv7b8VW6wwZhlTFlvXSgsLER2VhYyMzKQlpoKNVBDWQvyi3R/W6ghJ4Zefay4KK8+t4Rqkv4Qq5pCVRxbTXG+KspZWlYRcOUFFanR6YhYWFpaILCNt1Hz799wEg6N7RDap5VJ73fxwCJY27nAO/R2k5YnIqISRg1uff5cJM6dOwdbW1vZlcS7uXEne1NFRUXLZ19fX4Ngik+L5oiOvmDyMqasV8jNyUVubq7u/2mpaahJu//ahZvvX1yj66SGxUoFQQyL0iiGFvhrgbKTlWkxVj6r4UaafhEjtr2L7NOPQw3OQT1a+B+HraNnfW8GUb0EMVr6NYGDvW2V82al5eD07ij0uqU9rG2Nqj4byEmNRtL5LQjo8RCsbR1N3GIiIhIqPQsnJSXhuadn49+/t+mmWVlZya4Xr73xqgxq1Ia8vJI7YI2cGhlMd3JyQm5unsnLmLJeYePazVi1fE2Z6TGR8chIzsaNupKQcsProIbLztISxRpLREfEQMm0V1PsaFXVm8Ra8cc1N1cVR1TVLp6Pg7XdtUD9jQoIvHajgKghO3M2zuh8GIc3n4GmWCNHJTHFxUPfyci3b+eZJi1PRERGBjGeefI5JCYkYvEvP6Bd+zAUFhRi73978dYb78DFxQWzX3wOtaGxU0mypIyMDLi7u+ump6dnwD/A3+RlTFmvMHLMcAwc0t+gJcbcF9+BbytvuHtcW4+prGw0uGfIcRTkF8DWrnYCQw2Nmso6oH8Y2nczrdJjTuwbuYlvBywsrRA87F0o2qK9oiMYrG2dFH/B5takie5v366zEBis/DuIKQmpcG8qPs9QRVlbBreFlY1DfW8KUZ0qKi7Gxdhk3DKqa5Xzii5X+9afRLNWnvAJ9Kr+e+VnIe74b/BqOxIOLsr+zSAiqtcghhh+dMe2Hdi5dzt8fHx008fdNg6OjRrh3TffrbUgRtugQPl8NuIcevbqIf8uKCjAxQsXMGHieJOXMWW9goOjg3zUFt+W/vjk+9fkHV2lXxCVUltZ1eFqxwMLS/gp/k7TvqvPKuhPoqdJqxHw69waSqeJiIGfSs5PoqwMYJAaJV7JRHGxBn4tqu5KFRuRiMuRVzD20YEm5Y+JO7kMRQWZ8OvCYVWJiGpChR31ra2t4eTUCM2bl83Y3KpVq1q9i96mTWuEhIbgp8U/66atWL4S+fkFGDFquG7aZx9/jt+XrTB6GWPXS0TVp8bEgGoosxrKSETqE3u5JLm4n49HlfPuX38SllaW6DK8+gngtVoNLh78Do29wuDm29ukbSUiIiNbYoh8Fy1btcTmTVswYqThBf7qP1ejU+dOqE0fLHgPd06didvGToCHpwd2bt+JV15/2aBVyLq16xEaForbJ00wehlj5iEi06lsZFlVBTF4bIlIKeISSpK0+/lW3hKjML8Ih7eekSOSOLlWvzvdlah/kJN6HmGjFjIoTERU20GMvNw8Gah49MHHMGbszWjXoZ0cCnTvnr3Y9u92PPv8M/htyVI5r4ODvexmUpPatW+Hf3f9LYMMIunmq6+/DD9/P4N5HnviEbi6uVVrGWPmIaLqU9MNe9E/WrJQ13HVaDT1uSlERDUfxKiiJcapXeeRm5mP7qNDTXqfiwcXwcbBHc1CbjVpeSIiqkYQIzMrE7/9uhQWlhZYt269fOgWsrHGRws+1v2/SZMmNR7EEJydnTF6zOgKXy/vtaqWMXYeIjLtjr1WHeOTGA4rq5IgBltiEJFSJCRlwMXZAY2dKs95JhJ6Ork7Iqhn9YcOz04+i+Sof9Gy9xOwsra/ga0lIiKjghgiMBEReaail4mIyqdVTxFV0frEoJAqOLhEpAqpGTnwdG9c6TxpiZk4u/8CBkzuCivrCtPIVTqsqoWlNXw73XUDW0pERNer/hmZiKgcqrigVyGDEAabYhCRQqRn5MCjiiDGwU2nZQu07qOqP0x6YV464k4sQ9PAMbBv7H0DW0pERNdjEIOIarRrhSru1etSYlioK7EnU2IQkUKkpufAw82pwtdF0PbA+pPwC22GpgFVj2Byvdjjv6K4MAd+3Wbd4JYSEdH1GMQgohpx7VpX+WEMXd4P5ccwmBODiBQbxHCvJIgRfTwOV2LT0M2EVhhaTTFiDn0P52ad4OLd5Qa3lIiIjM6JQURUPSVX9MXFWix5YwNaBDdFiyAv+LT1gp2jrSJ3pgpiGLCwvBbrVlPSViJSLtHKIj0jFx7uFQcxDmw4BWtbK3QaElTt9Sed34Lc9Ito0282h1UlIqoFDGIQUY2wdbAp+UOrxeGtZ+SjtIWGl787WgQ1vRrYaIrmbZrA1v7q/OZMDVEMPcyJQURKIAIYxRoN3F3LD2IU5hfh2LazCOvbGg5OdtVe/8WD38K2kReaBo+tga0lIqLrMYhBRDWieWtPYC9kq4smvm5IikmV00VStIToFPkQSdIESysL2ce4NLDhG9QU3q09YW1rbV6jk6ggisEhVolIaXJy8+Vzo0blD3t6Zm808rLy0XlYcLXXnZl0GikXd6J13+dgaaXMVohERPXNPK4YiMhsuh04uTli9i8zkZuVj9iIRFwKT8ClMwmICU9ASly6nEdTrEX8+SvysX/9STlNDF8nAhn6LTaatfSAlbUVGio1jMhiySgGESlMbl6BfHaooEXg4S2n4ehsj6CeAdVe98WDi2BhZYsWnWbc8HYSEVH5GMQgolq5oBdNcNt08ZWPUtnpubrARsyZBPmclpApXysu0uBSuHgtEVh9vOQEZWslu57ot9ho4ucuAx71SqWpITQcYpWIFBXEKNtSQgTgT++JQreRobC2qV4QvSA3BfGnVqJZ8DjYNWpSY9tLRESGGMQgohodirOyvAmNXBwQ2N1fPkplpeboAhqyxcaZy8hMyZGvFRUU4+Kpy/JRysbeWiYL1Q9sePq6wdKy7ppFlCa41B9+VLEMhlhVafSGiBQlL69QPtuX0xLj+Laz8rfHlK4ksUd/gaYoD/5d762R7SQiovIxiEFENaq6N+tF95OQ3i3lo1T6lSwZ0LgW2EiQrTiEwrwiOfSdeJQSeTh8AksCG75Xu6J4+LioI8hQh91JODoJESm9JcbhLWfg6tUYAe19qrVOjaYIFw//AFef7nBu1rHGtpWIiMpiEIOIakRNxgtcPJ3g0s8JYf1a61p3pCVm6gIbpS03cjNLkrPl5xQg8sgl+dDvzlKaW6M0uOHatDEDGzdwXNmbhIiU1RLDMIiRkZyN84djcNOUbtVu3ZcYsQH5mXEIGvR6jW4rERGVxSAGEdVsd5JaSBgh1u3W1Fk+2g9sW/I+Wi1S4tN1LTVkq43wRBnQKO3XfPbARfnQ785yfWDD2bNRtQMbutFJ1NDSg1EMIlJJYs+TO8/LYG2HQYHVXufFQ4tg17g5vNqOrLHtJCKi8jGIQUQ1onS40cpyYtQkEUDwaO4qHx0HB8lpGo0WVy6lXuuKIh4RibILiiC6pITvjZaPUo3dHXWBjdKuKI3dG1X+5leLqI4Yhl53EqbEICIFyLsaxLC3MwxinNh+TrbYE90TqyPj8jGkXdqHtgNegqVV+SOeEBFRzWEQg4gUQzT/9fJzl48uw0PkNE2xBokXU64GNhLlUK9xZxNl4jZBJBE9vTtKPkqJ/tD6Q722CPKSrTiuUc/VvH6L6roKUBER1abccrqT5GTm4dyhGPS5rWO1W9ldOLgIltb28Ok4rca3lYiIymIQg4hqRGmdr6Fd51paWaJZS0/56DYqTE4rLipGQnRJYCPmaouN+HNJcphXQeTfEI8TO87p1uPu7awLauiKqIamGHoa2rElIjJFYWFJENvW5lo1WAyrKoLe7Qe0qda68rOTcPnMn2gedjtsHdx5QIiI6gCDGERUI0rvXKWlZ2Pd5sMYMbgDrK2tGuTetbK2QvM2TeSjx5h2clpRQRHiI69cHRGlpMVGQtQVaIpLrtxT4jPk49g/Z3UX85ZQWXeSet0SIqKapR+HPrHtHBq5OiCgffNqrePSkZ+gLS6AX9dZPDxERHWEQQwiqhFNPJ3lc2ZWHu6Y9Ql8vN0wc8pA3DV5AJo3c2vwe9na1hq+wc3kA+NKphXmFyHuXJJBi43ECym6y3lbB+X3fbbQ60/C7iREpEQiiB2+PxqdBgfJ1nvG0hQXIObIYrj59UXjJiVdGImIqPYxiEFENeLRWcNxOfYK/th8GIlJGYiNT8XbC1Zh3serMXpYJ8yaPgiD+oXC0tJ82i/Y2FnDP8xbPkqJ0U9+7/MsslMy4da8JHCjGhq2xSAi83f9KFrRJ+JlAuigngHVWk9C+DoUZCcidPi8Gt5CIiKqjPlcTRBRg+Zgb4vH7h6CM3s+xI9fPIyBfUruShUXa7Bm4yGMm/4hOg18ER99tQFJyRkwV3aOtrC82k3GUgU5MfS7k2iYFIOIFHh+i9h/QbY6a9vVr1rLxxz+HvbOPvBsPayWtpCIiMrDIAYR1ShbW2uMH9Md636bjUP/vIPH7hsBN5eSIUsjLyTi5XeWIajnM7jn8a+xa2+EWXZR0G2z8mMYhoEaMzxWRERVEUEMMcS2o7N99YZVjd0P384zYWnJhs1ERHWJQQwiqjWBrb3x7iuTEbF/Ab5ZMAs9u7aW0wsKirBs1X8YMfFddB/6Mr78fivS0nN4JBoixjCISGH047FZaTmIjUhEYHf/aq3j4qHvSoZV7TC15jeQiIgqxSAGEdVJV5Opt/fFX3+8jD0b52LWjEFwalRyx+vM2Tg899ovCOzxFB6Z/R0OHY0ym/7UFmpoiqFHw/FJiEhBREOzyCOx8u821ehKUpCTjMunV8E75DYOq0pEVA8YxCCiOtU+1A8fvX0nzu5fgE/evQsdwkoqjjm5BVj82w4MGPsG+t88Fz/8ug3ZOfkN8ujoepOoIIZhkIiV3UmISAH0uzFeOBEnRyTxC2lm9PKxx5ZAU5wP3y5319IWEhFRZRp0J77ExCT889ffyMnJRc9ePREaFnLDy/y+bAUSExMNpgUHB2Hw0ME1vv1EVLHGTg64Z9pNuHvqQBw8GoVvf/4Hy//ci7z8Qhw+Ho1Hn/8BL721FJPH98a90wchLKhFg056qVRMiUFESiXO4dEn4+ET6CVHozKGRlOEmMM/wNWnO5ybtq/1bSQiIjNqiXFw/0EM7j8E69ZuwPGjxzFh3O346ouvb3iZxd8vxrZ/tyMjI0P3yM3Nq+XSEFFllchunVrhy/n34uz+hXjvtSkIbFMypGlGZi6+Wfw3eg57BcPGv4PfVu5GXl5hve9Mc0xGWhPUWm4iUqbC/CLEhicgoN21YbSrknRuM/Iy4+DX5d5a3TYiIjLDlhizn30BI0ePwPyFH8j/D7ipP559ajZG3zwKfv5+N7TMwJsG4OFHH6qjkhCRsdxcG+GRe4fj4XuGYefecHz787/4c8MBFBYWY8+Bs/Ixe+6vmDGpn2zB0aal8c1/a+NiXvntMAxbmzCGQURKUHoOj4+6guIiDfzDjA9ixBz6HnaNmsIrcHQtbiEREZldS4zwM+E4f+48pkydrJs25pYxcGzkiE0bNt/wMqdPncaib77F2tXrkJSUVIslISJTL5z79wrGD589iPC9C/DGC7cjwLeJfC0lNQsff70RnQa+iLFTP8Cq9SLIUVSnO1p3Ma+C7iSWlgxiEJEyJUalyGefoKZGzZ+dch4pF3fCp+M0WFrZ1PLWERGRWbXEOHf2vHxu1bqVbpq1tTX8/Pxw7ty5G1pGXBwlXE7AxQsXsWnDJrzw3Iv4YMF7GHXzqAq3JzcnF7m5ubr/p6Wm3WAJichYXp7OePrhm/Hkg6Pw1/aTMnfG+q1HoNFo8c/OU/LRtIkL7poyAHdPGQhfHw/u3Fqy9ottOPDjIcXv3+LiYlhZWUENRFlfWHIPGrk61PemENW5xIspsHWwgbu3i9EJPWFhCZ8OU2p924iIqAEEMZb+uhTJySUR7/LY2dnh3vvukX9n52TL58bOjQ3mcXZujOzsnHKXN3aZ9+bPQ0jotWSf7737PmY/8zx69e4FN3e3cte9ce1mrFq+psz0mMh4ZCSXvG9N0BRrEB0RAzVgWZWpto9r2+aumDf7Njx592CsWH9QPhKTM5GQlI73P1mD+Z+txYCegZg0pjv6dmsDK6vaaWxWXFRc8odWq/jvbFZmlu7v/NxCZBdfC+iSMlw8HwuHxnY1tr6AQN8aWxdRbbamS7qYiqYBHgYtziqiKcpH7PHf4NlyEBycG16iaSIiNamzIEZWVrZMolkRe3t73d+ODo4ly2RmwdXNVTc9MzMTLXzL/+Ewdhn9AIZw18w78eVnX+Ho0WO4adDActc9csxwDBzS36AlxtwX34FvK2+4e7ijpoiLIbVU/lhWZaqr4yreo1ffdnh37nRs+OuobJ2xddsJ2Trj3z3h8uHXwgN3T70Jd07qj6Zext1lq+6wo2JYPqV/Z/0TM3V/dx8dhoCmym/pkp6SARd3Z6iBKGurED/YOdrW96YQ1bmkmFS0HRpm1LyJ5zahMDcFLTpOr/XtIiKiBhLEKG1lYYyWrVrK5+joC+h0NSAhmrxeionF6DGja2wZwfJqk+Gc7IpbVDg4OsgHETUs1tZWGDuii3xERifih1+3YfHS7UhOycLFS8mY+/4KvL1glXz93uk3YWCfEFUMi1pb+k3ojA5h5SdWVhK1BVkZwCC1ys8ugJe/cTejLh39RSb09Gw9tNa3i4iIzDCxZ2hYiBxNZMXyFbppWzZvRXp6OoaNGKabtmzpcvy99W+jlxFJPK9P5Ln8t2WwsbFBl65d6qBkRFRbWgV44Y0XJyJi7wJ89+kD6NszSE4vKirGH+v2Y8yUD9Bl0Ev4bNEmpKRd6yJhCnWNTnLtbw6xSkRKoH8uc/euutVVTmo0Ui5sR/MOk2Fp2SDTyRERqUqDPBOLO6Vvz3sTs+6+H6mpafBs4okVy37HQ488iDZtWuvm+37RDwgNC8XgoYONWiYnO0e+3r59O9nF5OSJk9i1czdee+NVNPOun6Eaiahm2dnZYNK4XvJxOiIW3/3yL5as2IX0jFycjbyMF974Da+99zsmjOmBe6cPQo8uravdOkOLq0EMFbTqUEMZiUi93JpVHcSIPfaLDFv7tJ9aJ9tERERmGMQQ+g/oj81/bcSmjZvlyCD/+/5/6NW7p8E8kyZPhJeXl9HL+Af4Y/X6VbKFRnRkNIaPHIY333kDzX2a12nZiKhuhAT64IO50zD3hduxYs0+fPvzvzhwJBL5+UVYsmK3fLQL8ZVdTe64tTecG1ev25garu/1gxhsiUFESlPVyCRaTTHiTv4Oj4D+cHRVfnc6IiJz0GCDGKVBh/sfvK/C1+++d2a1l3FwcMAt48bW2DYSUcPn6GCHGZP6y8fhY9H49pd/sWzVHuTkFuDE6Rg8NecnvPz2Mky6tRdmTR+Eju38K12fXktkVVFruYlIWUoDsnYONlWOzJNycSfysy6j7cA5dbR1RERkljkxiIhqS+cOAfjsvZk4u38hFrw1A6FBPnJ6dk4+vl+yDX1Hv45B497Ez8t3Iic3v9x16FokqKAphgqKSEQq5ezRqMouc6IVhpWNI7zaVpwknoiI6haDGESkSi7Ojrj/zsHYu/lNbF35EqaM7wM7u5LGafsPR+LBZ75FYPenMfv1JThzNs5gWV0MA8rH7iREpFQOje0rfb2oIAeJEevhFTga1raOdbZdRERUOQYxiEjVxEV6r25t8b+P7kPEvoV45+U70KZlU/laWkYOvvhuC7oNmYORk+Zh+eq9yM8vhFqVJjQlIjJrV09ljs6VBzESz65HcWEOmofdXjfbRURE5p8Tg4ioLnm4OeHx+0fi0VnDsW33GXz78z9Yu/mwHKZ153/h8uHp0VjXzUQNI3dY6LU3YU4MoqrFxcbhx8U/IflKMjp36Yw7pkyClZUVd10DVFU+jPiTv8POqRnc/frV2TYREVHV2BKDiOj6E6OlJQb1C8XPXz2CM3vm49XnxsPXx0O+diU5ExpN6RCryt91aigjUU26c9pM5Oflo3vP7vj1l1/x/aLvuYMbGM3ViKxDJS0x8rMSkXxhB5qF3AYLSwahiIgaErbEICKqRLOmrpj92Fg88/DN2PLvcdk6Y+Pfx2RyT/8Wnqradxxilajq78jl+Mt4/sXZsHewR15uLiLPR3G3NTCF+UXy2dGp4iBG4tkNYnxVeIeMq8MtIyIiYzCIQURkBCsrS4wc0lE+YmKTcTkxDZ6ONipL7Fmvm0J0w44fO46ff/wFa1evQ9vAtli1dmWZeQ7sP4C35r6DiPAINPFqgnvvuxt3zrxT9/prL7+O5OSUMstNv3MaevXuibfefQMTbp0I7+beSEtNxWdffsoj18AUXQ1i2DvZVjhPQsQ62Lv4onHTDnW4ZUREZAwGMYiIqkl0LRGP6IgYxe87dichpcjPz8eLs+dg6vQpMjh38sTJMvPExFzCnVNn4q577sSiH77B/r378cSjT6FxY2fcNuFWOU//Af2Rk5tTZlkfn+byPb5b9D2GDB0MXz9f/PnHn9i0cTPuuvtaEITqX3GxRj7b2JTfTaQgNwWpF3fDr+ssVeQ+IiIyNwxiEBFRhTjEKimFnZ0d1m5cLf8+G3G23Hl+Xvwz3D3cZXcQYdTNo7Dt3+34+suvdUGMocOHVPge589FIiUlFU89+6T87jRt1hRffvYVgxgNTFFhsXy2uTqs9vWSzm6CVluMpkE31/GWERGRMRjEICIiozAnBindgf0HZZcQfX369cFvS5YiKysLTk5OlS7vH+AHT09PjB4+Bi18W+DAvgN4/qWSgEhFcnNykZubq/t/WmraDZaCqqK52hLD2ta6wq4kYlQSl+ZduTOJiBogBjGIiKhCbEpNapKYmIhuPQwvXD3c3eXzlaQrVQYxrK2tseLP5TIYkp6ejldemwM/f79Kl9m4djNWLV9TZnpMZDwykrNRUxftauj+Zqy05Az5nJqcXma/FBdm4UrUNrgG3IYLZ2OhJvyccJ/wc8LvT0M+pwQE+ur+ZhCDiIgqpN8dnIk9SY0sLC2r1RLJysoKPXv1MHr9I8cMx8Ah/Q1aYsx98R34tvKWXVtqgqhE6lf+1M6xkYN89vb3KrNfEiLWA9oitOp2Gzxbqmuf8XPCfcLPCb8/5nJOYRCDiIiMwu4kpHSiK0jKdSOPJF9JLnmtSe0Mqezg6CAfVPeJPW3LyYlxJfJvWFrbw823Nw8JEVEDVXJ7gYiIqBwcYpXUpGu3Ltj73z6Dabt37UFgUCAaN25cb9tFNUtTdDUnho11mUDtlah/4O7XF1bW9tztREQNFIMYRERUIY4uSGoy467pSExIxEcLPkZmZib+3vo3Vq5YiVn331Pfm0Y1qLg0iGFnOMRq1pVw5GfGwbPVYO5vIqIGjN1JiIjIKFoYlxOAqKEaNexmRIRHQKPRyLvurf3ayunHzxyFo6Mj/AP88d3iRXjj9bfw6UefyS4kzz73DCZNnlTfm0610J3ExtqwGpwc9Y989mzJIAYRUUPGIAYREVXIAtcyezInBpm7tRtXl/s5FqOK6A+punHr+jreMqoXeomLheQL2+HgGgBHtwAeECKiBoxBDCIiqhCHWCUlESOHEJXXqEyjKULapf1oFjyOO4iIqIFjTgwiIqoQh1glIqWysLzWFCMz4QSKC7Ph5tuzXreJiIiqxiAGEREZhd1JiEipUmP2yGcOrUpE1PAxiEFERBVidxIiUkNANiVmD+ydfeDg4lsv20RERMZjEIOIiIwKYrAlBhEpsTuJOLelxe6HW4te9b1JRERkBAYxiIjIKOXcvCQiMnu5adEoykuDS/Mu9b0pRERkBAYxiIjIqMSejGIQkRJc36os/fJR+ezcrGM9bRERESlmiNXc3Fzs27sfuTk56NK1C7yaelW5jEajwa6du3AlKRljx40xGPv9RtZLRKRGzIlBREpVOjhJxuWjsLCwQuMmofW9SUREZM5BjIjwCNw5dSZc3Vzg5uaOpx5/Bm+9+yYmTBxf4TK//LQEX33xNWysrREZGYXhI4eVCWKYsl4iImJDDCJShut7xokghlOTYFjZONTTFhERkSK6kzz39Gy079geG7asx6/Lf8HzL83GSy/MQcLlhAqXsbW1xZKlP+P5Oc/X6HqJiFRLrzuJtkzVn4jIDJV2J7GwgFarQUbCcTg3ZVcSIiJz0SCDGFGRUTh65Bjuvnemrinz5KmTYW1ljY0bNlW43MQ7boevn2+Nr5eISK3YnYSIlMoCFshNv4Tigiw0bhpW35tDRETm3J0k/Ey4fA4KDtRNs7e3g3+AP86cDq/z9ebm5Mo8GqXSUtNM3gYiInOr5Jd6as5PcG6s/ObWBfkFsLWzhRqIsm5aMQduro3qe1OI6kV2coR8buRxrW5IREQNW50FMf7a8hcyMjIrfN3GxgZjbrlZ/p2RWTKfi4uLwTyuri7IvPqaKUxd78a1m7Fq+Zoy02Mi45GRnI2aoinWIDoiBmrAsiqTmo6rWsqbmZyh+zvyQmK9bgvVjqiIGKTXYBAjILDiFpFEDaw3CbKTz8q/nTza1u9GERFRwwtiHDhwEPFx8RW+7uDgqAti2Nvby+fs7By4uDjr5snOzkZzn+Ymb4Op6x05ZjgGDulv0BJj7ovvwLeVN9w93FFTxMWQWip/LKsyqem4qqW8AYHAFx/cjXUbDqKRsyPUIDsjR1VlbRPir4oWNkSlSrP7lAYxrO1cYNuII9UREZmLOgtiPP/ibKPn9fPzk8+xl2J1wQYxpndsbByGDB1i8jaYul4HRwf5ICJSozvvGIABnVsqPmCjpuCUflkZwCA15/zJSo5AI4+2zP9DRGRGGmRiz/Yd2qGJVxOsW7NON23P7v9wJekKBg8dpJv2z1//4OCBQzW+XiIiIiJSdlsMcSNLtMRwYj4MIiKz0iATe1pZWeHV11/BU48/jYKCAng28cSib77FpMkT0a59O91878+bj9CwUHTt1kX+/+iRo4g8H4Xjx47L/69dvRa2tnbo3acXmnk3M3q9RERERKTsnBhFBRkoys+Ao1tAfW8SERGZexBDGDtuDHxa+GDNn2sQHRWNOa+8iHG3jTOYZ/CQQXKeUufOnseO7Tvk37eOHydbWQiBQYEyiGHseomIiIhI2fKzSnK12buoo/sYEZFSNNgghtCla2f5qMhzLzxr8P8JE8fLx42ul4iIiIiUndizNIjhwCAGEZFZaZA5MYiIiIiIajOKUZCZIJ8dnFtwRxMRmREGMYiIiIhIdfKy4mBhZQvbRk3qe1OIiKgaGMQgIiIiItUQo5IIeZnxshWGhQWrw0RE5oRnbSIiIiJSncLsRNg19q7vzSAiompiEIOIiIiIVKcwLwV2juxKQkRkbhjEICIiIiLVdSfJz02FbSPP+t4cIiKqJgYxiIiIiEh1LDQFsHVkEIOIyNxY1/cGmKPi4mL5nJaaVqPrTU/PQEpyCtSAZVUmNR1XtZWXZVWm2jquLq4usLKyqvH1qkFt1DHU9P01hlZTAAdbILfQDrnFjblvruLnpCzuE+4TY/GzUjf7pLR+YaEtbVNHRos8F4m5L77DPUZERFSOhV+9D3cPd+4bE7COQUREVHn9gkEMExQUFODSxUto7OwMK6ua6ZEj7riIwMhr774EVzdXKBnLqkxqOq5qKy/Lqky1eVzZEqPh1DHU9P01FvcJ9wk/J/zu8JxinufZ0voFu5OYwNbWFq3atEJtEAdZLXevWFZlUtNxVVt5WVZlUtNxVXMdg8eZ+4SfE353eD6pXTzP1t0+YWJPIiIiIiIiIjILDGIQERERERERkVlgEKOBcHBwwK0Tx8pnpWNZlUlNx1Vt5WVZlUlNx1XNeJy5T/g54XeH5xOeZ5X228PEnkRERERERERkFtgSg4iIiIiIiIjMAoMYRERERERERGQWGMQgIiIiIiIiIrPAIAYRERERERERmQUGMerZ6VOnMfn2qQgLbI++Pfrhs48/h1arhdIUFxejtV/bMo8lP/8KJZRt86YtuHPaTLQNCMIH8+aXO9/e//Zh3M23IrRtO9zUdxB+/vEXmKODBw7h6cefQUibMMyYeleZ1y/HXy73WG/ZvBXmpLCwEL8tWYpbx4xH+5COGNRvMBZ++BHy8/MN5svIyMCzTz2HTmFd0DGsM5567GmkpabB3Py99W95PEU5xLnoxdkv4cqVKwbz3D3jnjLHddbd98PcJFxOwGsvv47+vQeiQ2gn3DZ2AjZt3FxmvmW/LcPg/kPkZ33sqFuwe+dumJvs7Gx8/snnGD54JNoFdZDP3/7vO4N5Nq7fWO53Nikpqd62m27cju07MGbkLfLzO3jAUPy+bEWl8xcVFWH92vWYOmka2vgHys+NuTp86AjG33K7/L0V3/PrP/M1tYw5CT8TjikTp8n6Zp/uffHxwk+qrG+Kc97D9z+CwFbBeOLRJ6E0Fy9clL9r4tzYo0svvPvWPPk9qIj4vRf19JFDR6F9cAeMHDoav/7yG5RE/D4+dN/Dst7TrWN3vDrnNeTl5lU4v/gMbVi3AZPG3yGX6duzP+a88DJSU1KhFKJOJ+p2oo4n6kiizic+C8bIycnBsEEj5G/q8WPHoRTZ2dl4cfYcdGnfTdajHn3o8TJ1xusN7DuoTD3j3bfnmb4RWqo3qSmp2i7tu2lfeO5FbcLlBO32bdu17YLaa7/+8hvFHZXCwkKtf/OW2p3bd8q/Sx8ajUZr7v75+1/tvXfN0v699W/tkIHDtO++Pa/MPNFR0drg1qHaD+bN1yYlJWnX/LlW2zYgSPvnqtVac5KYmKi9dcx47fKlv2sfefAx7dRJ08rMExcbJ491+Jlwsz7WG9ZvlN/NQwcPa9PT07V7/9ur7dGll/al5+cYzDdz+t3akUNHa8+ePaeNPB+pHTNybLn7pSETn8+7Z9wjz0HivBQRHqEdd/Nt2ltGjzM4bjOm3qV98/W3DI5rcXGx1ty8Nfdt7dJfl8rPakpyivZ/X/1P27JFa+2BfQcMjn8b/0DtqpWrtFeuXNEumL9QG9gqWB5nc/LjDz9pP/vkc7ndGRkZ2k0bN2tD2oRpf/husW6edWvWadsFdzA4ruJB5uvM6TPyN+bTjz6Tn9/fl63QtvZrq92yaWuFy6xfu177wKwH5XmgT/e+2k8Wfqo1R/Fx8bIu9cZrb8rfrM2btsjv7q+//Fajy5iTtLR0bdeO3bXPPT1b1jdFXUx85z//9IsKlxG/4XdMmKJdvWqNdvqUO+VvvpLk5uZpB/S5SX7mxW/BwQOH5D4Svw8VEftr/nsfak+fOi3rBWtXr9O2bRmk/fnHX7RKIH7PRw8fI+swFy/GaE8cP6nt12uA9uknnq1wGVFfEK8f2H9Qm5mZKZcZNexmWV9QCrE/RH1I1PHEb+mIISNlnckYzzz5rKwninrx0SNHtUrx8AOPagcPGCp/ay5EX9BOGHe7vD6orK7fp0c/7S8/LamxOiSDGPVIVJzFj2Z+fr5umjg5duvUwywvDIwJYuzetUerZMMGjSg3iCEqRuLH8voTm/ixMFfiR6uyIIa5XewZ45sv/6dtH9LR4Mf7+s/1/n375bTjx45rzdme3f/JcogARylRKamsgmfOOoR2kse31G1jJ2ifePRJg3nED/acF17Wmrvpk2doH33osTJBDFIOEYAVwVV9D933sHbibZOMWl5UNs01iPHh+wu03Tv3NKhMvzrnNe1NfQfV6DLm5LtF32tD27aTF+6lFn74kbyRVlRUVOXy4oJNaUEMEaBu5dtGm5ycrJu2+PvF2qBWIdrs7Gyj1/Pko0/JYI8SbPt3u/zdj4qM0k0TQSwR5E9ISKz2500JRF1O7BMR5ColgoBimqgDVvUZE/X80nUoJYgRE3NJlmfr5mtB8ZMnTslp/+3ZW+nvSk0GhtmdpB4dOHAQXbp1ha2trW5an359kJSYJJu4KdGjDz4mmzKKpng/fLdYdsVQy7Hu3aeXwbS+/fri1MlTyM3NhRJNnjBZNtEUzZmrasZsLlJTU+HUqJHu/wf2H4S1tTV69Oyum9a1W1fY2dvJbjfmLC21pCloI6dr5RWW/rZM19xaCU1GRTPZpb8uRUF+AQbc1F9OKygowLGjx8r5zvYx6+Mqmknv3rUHR48ew4iRIwxey87KRtcO3dG5XVfZxVF0fyPzJc5N139+Rf3iyJGjiv/dPbD/AHr26gELCwuDskdFRSMlJaXGljG3z0PnLp1gb29ncD5LTk6WZVQjsU+CgoPg7u6um9anX1/k5eXh5ImTRq8nNS0VTtf9Tpor8T3w9vZGQMsA3bS+/ftAo9Hg8KHDVS4vbo5fiL6A1avWYMQow98Yc/6cODg4yO9PqZ69e8LKyqrS+oDYD2/OfRsff7YQNjY2UJKDBw7K5959e+umhYaFwM3NTfdaRd57531ZhxwycBg+fH9BpV2VqsIgRj1KTEiCh4eHwTQPj5KTqRL7Io+fcBt+WfoTdu3dgYcfexgfvv8hFs7/CGqQlJBY5li7e7jLE/6VK8lQElEJvOvuO7F0xVJs3/Mvpt85DS89PweLv/8R5iw6Kho//vATJk2ZpJuWmJgIV1cX+WOmX353N3cZjDTnvo7z31+AIUMHw9PTUzc9rF0oPv/qU+w5sBsff/YRjhw+irumz6y0D3FDJfq/i/6YwW1C8cZrb2HhpwtkhVYQgRlRJg+Pa2Uv/c6a47m5NCeRyNkzffIM3Hf/LIy55Wbd66KC9tIrL2LdpjXy0b5DO5kXQewjMk/i3OThWbZ+IYJ16enpULLExCR46J23DOpWFZyXTVnGnCSV83lwd/dQTPlq7DtyNaBh7D75959t2PbPdoN6gTkT5b5+n4gLU1HHqWqflObMEnkPGjVyxNvz3oQSJCYkwt3dzSDAKW5eubi4VLhPxI2Qxx5+HE88+RjatG0DJV7TODg4wNHRsWwdqZLPyYCBA/Dt4kWyDvnq3FewYvkKPPv0bJO3g0GMBsbSsuSQKC25p/jCL/jkQwSHBMPVzRW3jBuLR594FP/7ZpHi7wpVxNLy6glRYce6mXczzH3rdbRu00re4Zg89Q7cOXMGvv7ia5grUcEVP9Bdu3fFo48/YtSxNdfvsPjxffiBR1FcVIT3F7xn8NrzL85G/wH94eLijC5dO8s7DMeOHpd3982NuKsSHnkaB47uw5NPP4HHH36iynJYWlia5fdVVEBFWY+eOowvvv4MX3/5jUHSwkFDBmHW/ffK725zn+aY8+pL6NS5ExZ9vahet5sMk8yWl3xV/7Fi+cpKd5mFQusXxrCwqH7ZTVnGnJTWQZRavhurg1c974kTJ+WF6n0PzMLwEcOgdFV9TsTF6amzJ7F6/SoZKL3PDJN+V0dl9TzRwkDcAJoxcwbU9v3RVvL6u++/LeuOog458KYBePWNV7F29VrExsaa9n4mbyndMM8mnkhJMbwLX3pXXv/up1KFhIYgPy8f8fGXoY5jbdgkNflKsozsXh/1VuqxjouLLzOyhzkQ2Zan3TEdPi188PWir2RArpT4nqalpcumlqXEj1pycoo85mYZwLj/Ednq5NflS8q0HrqeuMMgusNFR0XBHIljKY7hfQ/OQrfuXfHLT0vkdDf3kjtP15+fRdNrczyupWV1dnbGyNEjMe3OqVW2jAoJDVZtM/OGaOIdE2UgqrLH+Ntv080vPtcpyWV/c8T3VdxBVLKSspf97srXKvj+mrKMOSn383C1fE0UUL6a2ie6OngV++TUydOYMflO2cJYtGJTivK+B2JkDnGzsarPibiAFd2VOnTsgFdefxk7d+zCubPnoIz6e6pBwELsj9TUtAo/J6I7pmilUxpgHj18jJwuRkJTwig/nk08ZVf467vDi9+YJtW4pgkNDZHP0ZGm1TUYxKhHXbt1kf2pxFCOpXbv2g1PTw+D/mhKFXEmXPYTE820lE7kPtm7Z6/BNHHXV7RMub45lhJFhEfA1dUVdnbX+uOaSwBj6qTp8PJqgkXf/8+gP3Hpd1h0OxD9SEsdOnhY9qkVr5kTcR4SLTDOnj2H35YvkXflqxJ5PlIGPry8vGDuikUg6molRVzotevQDv/t2VfmO9ulq3kd1/JoijVV3lUT31mvpk3qbJuociLgLQJRlT30mzuL88/1eU3E57dDx/YGgVglEmXf999+g8+4KLt/gH+FN4hMWcacdOnWRXYP07+RsHvnHtlVoGWrllAjkb9KDDurPyS6qIOLnFbt2odVuNzpU6fljY2x48bIVqdKIj4n4oZTzMUYg++BOLd07tLZ6PUUF2sU08pHnBvExbrIk1VKnFtFIKOiet6KP5cjIuqMLsC8ZsNqOf33Vcux8JMFUMJ3R/hP77rmzOkz8matuN4xVnh4hHz2ampaHZJBjHo08Y7bYWVphbfmvo30tHTs27tPJru8+96ZuiZtSmoKK8oWHxcvTwabNm7Gp598jkmTJ6riIv7Ou6bjUmwsPv3oM2RmZmLr5r+w6o8/ZRNupfnfV4uwbOly2QVD5Fb4Y8Uq/PD9Ysy89y6YE3EyFhUVEcD49odFsHewLzOPCEL1H9BPfodjYi4hLjZO/t2jVw95N8JciEDMow89hrMRZ2UAw7u5d5l5oiKjZG4TMY+oCIs7UU898QwCAvxx0+BBMCcP3vcQjh45iry8fJn/4qsvvsa+//YZ3MkWeSNEM8eNGzYhKysLX37+lUzUJfK9mJNXXnoV27ftkOcd8X1cv3a9bHEyYeJ43TyvznlN3jUS84jP/fz3PsT+fQdw193m9Z2la2beM1NeoIkuQeLzu3b1OmzeuNngN0d0PxF3CTMyMhS166bOmCLL9MG8+fJZfP6X/boMs+67RzePmCbKfv5cpNHLmLPbJ06Qwdk3XntT1jcP7j+I7xZ9L3+XS4Nax48dl/tEPyivZKNvHoWmzZrilTmvyvPeyROn8PknX2DK1MlodDWB96VLsXKfbNm8VRfcnXbHDBnAeOPtuVCaAQP7IzgkCC+/9Kqsw4nvh8hfJ8or9pWQk5Mj94mo1wvi90Q8Lsdf1iXFFvWgjp06oG1gW5i7jp06yuTtIneWqOOJut47b74r636lebQEkaxS1CUE0ZJTP8BsZVVyTSeelXB95+vnixGjhmPe2/Nky92Eywl4/ZU3ZD4tkSC5VN+e/fHu2/Pk39v+3Y6FH34kB64QdUgRAJn76hvo17+v6Z+TGhvnhEwihtsZd/Ntcvx2MdTVB/PmK2541dIxyt956105vI4Ye33IwGFyiNmCggKtuRNjyothusRDDC8U4NNK/i3GTNa3Y9sOOba0eK1nl97aRd98qzVH4hiKMohylpZVjJOuvz9efvEVbY8uvbTBrUO1I4aM0i75+ddKx45uiMS47+J4iqHFSo9v6UOMD18qJTlFDj0nyiqGZntw1kPapKQkrTk5dvRYhWXdtWOXnEecl5b9tlyO/y6Od+9ufeQwjuJ4m+MwchPH3yGPmRhaddKEydq///qnzHxiuD1RTrEfht40vNx5GrrTp05r77/3AW3H0M5yyDtx/MRnW//7KMZ5F/OIfSGGEBbDcIrzFZk3Mfyd+K0Vn98+3ftqf1r8s8Hr4vssvvfi91kQwynr/5aVng+mT7lTa272/rdXDm0otl8MW//ZJ58bvP7P3/+WGQq8qmXMnRjm8dYx42V9s3O7rtr33nnfoL4p6qNin+zbu083LaRNWJnfe1F/UYpzZ89rJ98+VdvGP1Ce+157+XVtfn6+7vWLF2PkPtm4YZP8/0vPz5H/v/53ckCfm7RKcenSJe3M6XfL3/mwwPba556erc3KytK9Lv4W+6B0qMzUlFTt22+8I88xbQOCtP16DZBDsYvpSiHqdKJuJ+p4ot4g6nyi7qdP7K/PP/2i3OXFb6yShlgVMjIytE89/oysV4jruntn3qe9HH9Zq0+cK8RnQRDDO3/5+VfaQf0Gy30lvjPiHKT/2aouC/FPTUVmiNSqvNEZRPM7/VErlEI0obv+tKHEsooyVpR0VonNsSsaYUQcV/1m6kSkrHOc/vmsvPOAuHOohLuHVZWdSo6//j5Ry+99Vfuk9HdQ5L/Sz4FVSs37hK59V8R5sqJ9cv13Sy37xMLCotZ+PxjEICIiIiIiIiKzoKzQOhEREREREREpFoMYRERERERERGQWGMQgIiIiIiIiIrPAIAYRERERERERmQUGMYiIiIiIiIjILDCIQURERERERERmgUEMIiIiIiIiIjILDGIQERERERERkVlgEIOIGiyNRoNxN9+KVStX1en7vvHam3hx9kt1+p5ERERkuq2b/0Jgq+ByH3NeeNnI3/45Rr/f119+g3ZBHZCWmlbu66LuEtQ6BBHhEdi4YRNGDBmJoqKiapWJiMrHIAYRNVjLfluOzIxMjB03tk7f94GH7scfK1bh5IlTdfq+REREZJpiTTEK8guw8s/fcezUUYPH3Lder3TZc+fO45efl+Dhxx4y+v1uGTcWOTk5+HPV6grrMIGBbREYFIgRI4fDwsISP//4S7XLRURlMYhBRA2SVqvFN19+gynTpsDKyqpO37tps6YYPGQQvv3m2zp9XyIiIroxNjY2sLe3M3hYW1tXusyirxehX7++8PVtYfT7eDf3Rr8B/fD7st/LvBYbG4s9u//DxDtul/+3sLDA1OmTseibb2UrUyK6MQxiEFGtOnH8RIXNO8VrFTmw/wAiI6Nw89jRBtMff+QJ3HfPA/h44ScYPngkOrfriikTp+HM6TNl5ps18z68NfdtDBs0Ah1CO8n5xN0Wcdfk5hFj0T6ko3wWFY3r3Tz2Zqxdu07eZSEiIiJlys/Px59/rJa/+9cTLTJn3X0/urTvJusbjzz4GBIuJ+henzjpdhw/dgLhZ8INlluxbCVsbG1wy7hbdNPE+i/FXMLunbtruUREyscgBhHVqrB2YQZNOo+cOISePXugSZMmaNGi4jseu3ftgbe3N5r7NDeYXlhQiC2btiD5SjK+/+lbrN+8Fg4O9njovocN7m6I+bZu+UtO+2nJYqxasxIpKcm4Y/xkLP7uR3yw4H38u/NvdOzUAQ/f/wiysrIM3qdb966yWeq+vftrYa8QERFRQ3Dk8FHk5uaia7cuBtNPnTyN22+dCFsbG6z4czlWb/hTBjxmzrhHV98YPnIYXFxd8PuyFQbLrvx9JYYNHwZXN1fdNA8PD7RsGYCdO3fVUcmIlItBDCKqVaIJpX6TzjdffxvHjh3H4p+/N/hxv975c+fh61d+kENUAkT/Vh8fH9mc89EnHkVUVDRiY+PKzPfK6y+jmXcztGrdCpOnTkZycjLem/8uQsNCZIXikccfRmpqKk6fOl2mS4mdvR3OnT1XQ3uCiIiIatvYUePKtPxc+fsfldY3RF2lxXVdST5e+DHc3d2w8NMFaNmqpexq8uHCD3DxwkVsXL9RzmNnZydzY6z6409d0s59e/chOvqCriuJPl9/P5w7e77Gy0ykNgxiEFGd+fyTz7Hi9xX4etFXaNO2TaXzZmRkwMnJqdzXWrdpLSscpUQlQ0hLTa10PldXV93066ellpNdvLGTEzLSM4wsHREREdW3lavLJvYcd9u1bh3l1TccHBzK5N86dPAwBtw0QAYqSolWFyJRp7gZU0oEK5ISk7D93+3y/yuWr0SzZs3Qf0C/Mu/VuHFjZKSn11BJidSr8iw3REQ1RAw19uEHC+UdjV69e1Y5v/ihT0hILPc1C0vLCpOBGjOfZTnTr19WyMrKhrNz4yq3lYiIiBpWYk9jifqG6E5SXFxsEMgoLiqWI4ys+H2lwfxFhUXw8/fV/b9Dxw4ICg6UXUr69O2D9WvXY8ZdM8pNSp6dnQVnZ2eTy0ZEJRjEIKJaJxJnzn7mBTz3wrMYd2vFd0P0ie4fB/cfRH25cuUK8vLyZBNSIiIiUiZR3xA3MmIvxcLP3083vV2HdvD2boa5b80ts4yVleHNEJHg8/335uPXJb8hMzMLt0+aUO57XYqJxaDBN9VCKYjUhd1JiKhWnT8XiQdmPSibWz70yINGL9e7T2/ExcXjcvxl1IeDBw7JIdm69+xeL+9PREREta9zl86wt7fHoYOHDKY/+fQTWLt6HZYvXY78vDxYW1vh0qVLWDh/IXZu32kw760TboVWo8W8d96TicFFYOR66WnpMv9Gn769a71MRErHIAYR1ar9+/bLvBLLl/5erSFWe/TsLu+IrF+3oV6O0IZ1GzB8xDA2+yQiIjLzxJ4zZ9xd4fyi64kY/nT9upJknaW6dO2Mn3/7CZs3bUHPrr0RGthOjoTm6ekpb7ToE9NuGnwT8vPyy03oKWxYvxFNvJqgXzm5Moioeiy05XUEJyKqIaKPaWFhScbu69nZ2Rok3rzejz/8iJ9/XIJNf23QzVdYWKjr81pKnMby8wsM1lfefGJItIKCwjJ9ZfPy8mFra6PLlZGSkoK+Pfrjl6U/y0oMERERNWylv/HlEd0/9OsD1xMjlN06djy27fxHjmhW0frLy6l1fX2norrNuDG3YeSoEdVqlUpE5WNLDCKqVSKxlf4Qq/qPygIYwtTpU2WlYc3qtbppohJyfUWkdBhX/fWVN5+ofJSX7EtM06+YfPHplxg2YigDGERERGai9De+vEdlAQwhJDQEt42/FZ989Gml6zemvlNe3Wbr5r+QkpyCe2ZV3CKEiIzHlhhE1KCVjrsu8lPUlYKCAvl+VVVYiIiISBnETRNR57C1tVVEXYZIyRjEICIiIiIiIiKzwNuMRERERERERGQWGMQgIiIiIiIiIrPAIAYRERERERERwRz8HwKizFY+bkkdAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 1100x418 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def linear_drop(v):\n",
    "    # potential energy (eV): 0 in the left contact, -v in the right one, linear across 10..25 nm\n",
    "    return -v * np.clip((dev.x - dev.x[0] - 10.0) / 15.0, 0, 1)\n",
    "\n",
    "\n",
    "fig, axes = plt.subplots(1, 2, figsize=(10, 3.8))\n",
    "print(\"  V (V)   lowest resonance (meV)   shift (meV)   width (meV)   peak T\")\n",
    "for v, c in zip((0.0, 0.05, 0.1), style.sweep(3)):\n",
    "    pot = linear_drop(v)\n",
    "    r = nemo.resonances(dev, potential=pot)\n",
    "    e0, g0 = r[\"energy\"][0], r[\"width\"][0]\n",
    "    peak = tr.transmission(e0 + g0 * np.linspace(-2, 2, 4001), potential=pot).max()\n",
    "    print(f\"  {v:4.2f}        {e0 * 1e3:7.2f}            {(e0 - res0['energy'][0]) * 1e3:7.2f}\"\n",
    "          f\"        {g0 * 1e3:.3f}       {peak:.3f}\")\n",
    "    axes[0].plot(dev.x, dev.band_edge + pot, color=c, label=f\"V = {v} V\")\n",
    "    Ev = np.linspace(-v + 1e-3, 0.5, 5000)\n",
    "    axes[1].semilogy(Ev, tr.transmission(Ev, potential=pot), color=c, lw=1)\n",
    "axes[0].set(xlabel=\"z (nm)\", ylabel=\"potential energy (eV)\", title=\"linear voltage drop\")\n",
    "axes[0].legend(frameon=False, fontsize=8)\n",
    "axes[1].set(xlabel=\"E (eV)\", ylabel=\"T(E)\", ylim=(1e-9, 2), title=\"the transmission changes with bias\")\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c1293a77",
   "metadata": {},
   "source": [
    "The lowest resonance moves down by about half the applied voltage (the well sits in the middle of the\n",
    "drop), and the peak transmission falls below one, to 0.53 at 0.1 V, because the biased barriers are\n",
    "no longer equal. The scattering experiment at zero bias does not describe the device under bias. And\n",
    "this is only the externally imposed part: the electrons that tunnel in and pile up in the well add\n",
    "their own charge, and the potential they create must be computed self-consistently. The questions a\n",
    "scattering experiment never asks become central: where are the electrons, $n(z)$? Does the flow\n",
    "accumulate or deplete charge? What does the bias do to this charge distribution? What does the\n",
    "geometry do? Klimeck notes that none of these questions exists in the Rutherford experiment, and all\n",
    "of them exist in every real device.\n",
    "\n",
    "## 3. What drives transport: channels and a driving force\n",
    "\n",
    "To get a current, exactly two ingredients are needed:\n",
    "\n",
    "- **channels**: pathways through the structure, each with a transmission probability (\"can carriers\n",
    "  get through?\"). Without channels there is no current, no matter how hard one pushes.\n",
    "- **a driving force**: carriers pushed preferentially in one direction (\"why would they bother?\").\n",
    "  In a device this is the difference of the chemical potentials of the two contacts,\n",
    "  $\\mu_L - \\mu_R = eV$. Without it there is no net current, no matter how many channels are open.\n",
    "\n",
    "The Landauer formula combines the two:\n",
    "\n",
    "$$I = \\frac{2e}{h}\\int T(E)\\,\\bigl[f_L(E) - f_R(E)\\bigr]\\,dE,\\qquad\n",
    "f_{L,R}(E) = \\frac{1}{1 + e^{(E - \\mu_{L,R})/k_BT}},$$\n",
    "\n",
    "with $e$ the elementary charge, $h$ Planck's constant, the factor 2 for spin, $f_{L,R}$ the Fermi\n",
    "functions of the contacts and $k_BT$ the thermal energy. The cleanest test is a set of ideal channels,\n",
    "each with $T = 1$ above its threshold: at zero temperature each open channel in the window carries\n",
    "$(2e/h)\\,eV$, so the conductance is $N \\cdot 2e^2/h$, with $2e^2/h = 77.5\\,\\mu$S the conductance\n",
    "quantum. Below, three channels open at 0, 50 and 100 meV, and `nemo.landauer_current` is compared with\n",
    "the integral done by hand."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "922abb18",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:49:08.935956Z",
     "iopub.status.busy": "2026-10-24T22:49:08.935864Z",
     "iopub.status.idle": "2026-10-24T22:49:08.943857Z",
     "shell.execute_reply": "2026-10-24T22:49:08.943518Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  mu_L (meV)   V (mV)   T (K)   I open-nemo (uA)   I by hand (uA)   G / (2e²/h)\n",
      "        70         0        4         0.0000            0.0000          0.000\n",
      "        70        10        4         1.5496            1.5496          2.000\n",
      "      -100        10        4         0.0000            0.0000          0.000\n",
      "        70        10      300         1.3724            1.3724          1.771\n",
      "       120        10        4         2.3244            2.3244          3.000\n"
     ]
    }
   ],
   "source": [
    "Eg = np.linspace(-0.3, 0.6, 9001)\n",
    "thresholds = (0.0, 0.05, 0.1)\n",
    "T3 = sum(fermi(th - Eg, 0.0, 4.0) for th in thresholds)     # three smoothed unit steps\n",
    "\n",
    "\n",
    "def current_by_hand(e, t, mu_l, mu_r, temp):\n",
    "    window = fermi(e, mu_l, temp) - fermi(e, mu_r, temp)\n",
    "    return 2 * Q / H * np.trapezoid(t * window, e)           # (2e/h) ∫ T (fL - fR) dE, in A\n",
    "\n",
    "\n",
    "print(\"  mu_L (meV)   V (mV)   T (K)   I open-nemo (uA)   I by hand (uA)   G / (2e²/h)\")\n",
    "for mu, v, temp in ((70, 0, 4), (70, 10, 4), (-100, 10, 4), (70, 10, 300), (120, 10, 4)):\n",
    "    mu_l, mu_r = mu * 1e-3, (mu - v) * 1e-3\n",
    "    I = nemo.landauer_current(Eg, T3, mu_l, mu_r, temp)\n",
    "    Ih = current_by_hand(Eg, T3, mu_l, mu_r, temp)\n",
    "    G = I / (v * 1e-3) / G0 if v else 0.0\n",
    "    print(f\"     {mu:5d}       {v:3d}     {temp:4d}      {I * 1e6:9.4f}         {Ih * 1e6:9.4f}\"\n",
    "          f\"          {G:.3f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3d32cdd6",
   "metadata": {},
   "source": [
    "With no bias there is no current, even with two channels open (first row). With no open channel in\n",
    "the window, no current flows despite the bias (third row, both chemical potentials 100 meV below the\n",
    "first threshold). With two channels open at $\\mu_L = 70$ meV the conductance is 2.000 conductance\n",
    "quanta at 4 K. At 300 K it is 1.771: the thermal tails, a few times $k_BT = 26$ meV wide, reach\n",
    "across the thresholds, so the channel opening at 50 meV, only 15–20 meV below the window, counts only\n",
    "partly and the closed channel at 100 meV already contributes. With three channels open at\n",
    "$\\mu_L = 120$ meV the 4 K conductance is 3.000. The library and the hand integral agree.\n",
    "\n",
    "## 4. The conceptual picture: two reservoirs and a few channels\n",
    "\n",
    "Klimeck's picture of transport has a left reservoir filled up to $\\mu_L$ and a right one filled up to\n",
    "$\\mu_R$, connected by channels with transmissions $T_1, T_2, T_3$. Below $\\mu_R$ both reservoirs\n",
    "inject equally: left- and right-movers cancel exactly. At zero temperature only the window\n",
    "$[\\mu_R, \\mu_L]$ carries net current; at finite temperature the window acquires tails of width\n",
    "$\\sim k_BT$ and excited carriers above $\\mu_L$ can carry current too.\n",
    "\n",
    "![Slide 8: two reservoirs, a few channels](attachment:slide_008_crop.png)\n",
    "\n",
    "*Slide 8: the left and right reservoirs with chemical potentials $\\mu_L$ and $\\mu_R$ and three\n",
    "channels; at zero temperature only the states between $\\mu_R$ and $\\mu_L$ carry net current.*\n",
    "\n",
    "For the double barrier, the window is set by contacts with $\\mu_L = 50$ meV above the left\n",
    "conduction-band edge and $\\mu_R = \\mu_L - eV$. The current is computed in two ways: with the\n",
    "transmission of the biased structure (linear drop of Section 2), and with the zero-bias transmission\n",
    "of the scattering experiment, kept fixed while only the window opens. The energy grid is uniform with\n",
    "a dense patch of $\\pm 40\\,\\Gamma$ around every resonance, so that the 0.13 meV wide peak is resolved.\n",
    "The current is per transverse mode (a one-dimensional channel); Lectures 10.7 and 10.8 add the\n",
    "transverse directions."
   ],
   "attachments": {
    "slide_008_crop.png": {
     "image/png": 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"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "40e4985a",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:49:08.944798Z",
     "iopub.status.busy": "2026-10-24T22:49:08.944724Z",
     "iopub.status.idle": "2026-10-24T22:49:09.421962Z",
     "shell.execute_reply": "2026-10-24T22:49:09.421537Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "V = 0.06 V: I(4 K) =   0.26 nA, I(300 K) =   5.68 nA, I(300 K, zero-bias T) =  3.21 nA\n",
      "V = 0.08 V: I(4 K) =  11.98 nA, I(300 K) =   6.66 nA, I(300 K, zero-bias T) =  3.45 nA\n",
      "V = 0.10 V: I(4 K) =  10.16 nA, I(300 K) =   6.97 nA, I(300 K, zero-bias T) =  3.56 nA\n",
      "V = 0.15 V: I(4 K) =   3.94 nA, I(300 K) =   4.46 nA, I(300 K, zero-bias T) =  3.64 nA\n",
      "V = 0.20 V: I(4 K) =   0.05 nA, I(300 K) =   2.49 nA, I(300 K, zero-bias T) =  3.65 nA\n",
      "V = 0.30 V: I(4 K) =   0.17 nA, I(300 K) =   9.31 nA, I(300 K, zero-bias T) =  3.66 nA\n"
     ]
    }
   ],
   "source": [
    "def grid(pot, v):\n",
    "    r = nemo.resonances(dev, potential=pot)\n",
    "    parts = [np.linspace(-v, 0.5, 2000)] + [e + g * np.linspace(-40, 40, 801)\n",
    "                                            for e, g in zip(r[\"energy\"], r[\"width\"])]\n",
    "    e = np.unique(np.concatenate(parts))\n",
    "    return e[(e >= -v) & (e <= 0.5)]\n",
    "\n",
    "\n",
    "mu_l = 0.05\n",
    "e_fix = grid(None, 0.0)\n",
    "T_fix = tr.transmission(e_fix)\n",
    "biases = np.arange(0, 0.301, 0.01)\n",
    "I_4, I_300, I_fix = [], [], []\n",
    "for v in biases:\n",
    "    pot = linear_drop(v)\n",
    "    e = grid(pot, v)\n",
    "    Tv = tr.transmission(e, potential=pot)\n",
    "    I_4.append(nemo.landauer_current(e, Tv, mu_l, mu_l - v, 4))\n",
    "    I_300.append(nemo.landauer_current(e, Tv, mu_l, mu_l - v, 300))\n",
    "    I_fix.append(nemo.landauer_current(e_fix, T_fix, mu_l, mu_l - v, 300))\n",
    "I_4, I_300, I_fix = (np.array(i) * 1e9 for i in (I_4, I_300, I_fix))   # nA\n",
    "for v in (0.06, 0.08, 0.1, 0.15, 0.2, 0.3):\n",
    "    j = np.argmin(abs(biases - v))\n",
    "    print(f\"V = {v:4.2f} V: I(4 K) = {I_4[j]:6.2f} nA, I(300 K) = {I_300[j]:6.2f} nA,\"\n",
    "          f\" I(300 K, zero-bias T) = {I_fix[j]:5.2f} nA\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "047aa216",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:49:09.423036Z",
     "iopub.status.busy": "2026-10-24T22:49:09.422967Z",
     "iopub.status.idle": "2026-10-24T22:49:09.616313Z",
     "shell.execute_reply": "2026-10-24T22:49:09.615853Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1210x440 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "v = 0.1\n",
    "pot = linear_drop(v)\n",
    "e = grid(pot, v)\n",
    "fig, axes = plt.subplots(1, 2, figsize=(11, 4))\n",
    "ax = axes[0]\n",
    "ax.semilogx(tr.transmission(e, potential=pot), e, color=style.OPEN_NEMO, lw=1, label=\"T(E) at 0.1 V\")\n",
    "for temp, ls in ((4, \"-\"), (300, \"--\")):\n",
    "    win = fermi(e, mu_l, temp) - fermi(e, mu_l - v, temp)\n",
    "    ax.semilogx(np.maximum(win, 1e-12), e, ls, color=style.REFERENCE, lw=1,\n",
    "                label=f\"f_L − f_R, {temp} K\")\n",
    "ax.axhline(mu_l, color=style.CONTEXT, lw=0.6)\n",
    "ax.axhline(mu_l - v, color=style.CONTEXT, lw=0.6)\n",
    "ax.set(xlabel=\"T(E) and window\", ylabel=\"E (eV)\", xlim=(1e-6, 2), ylim=(-0.1, 0.25),\n",
    "       title=\"channel and window at 0.1 V\")\n",
    "ax.legend(frameon=False, fontsize=8, loc=\"upper left\")\n",
    "ax = axes[1]\n",
    "ax.plot(biases, I_4, color=style.OPEN_NEMO, label=\"biased structure, 4 K\")\n",
    "ax.plot(biases, I_300, \"--\", color=style.OPEN_NEMO, label=\"biased structure, 300 K\")\n",
    "ax.plot(biases, I_fix, color=style.CONTEXT, label=\"zero-bias T(E), 300 K\")\n",
    "ax.set(xlabel=\"bias V (V)\", ylabel=\"current per mode (nA)\", title=\"channels + driving force\")\n",
    "ax.legend(frameon=False, fontsize=8)\n",
    "fig.tight_layout()"
   ]
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    "At 4 K the current switches on only once the resonance, which moves down by about $eV/2$, enters the\n",
    "window below $\\mu_L$: from 81.8 meV it must fall by 31.8 meV, so near 0.064 V, and indeed the current\n",
    "is 0.26 nA at 0.06 V and 12.0 nA at 0.08 V. It switches off when the resonance drops below the\n",
    "conduction-band edge of the left contact, near 0.164 V, and the current falls to 0.05 nA at 0.2 V:\n",
    "negative differential resistance, the signature of a resonant-tunneling diode. At 300 K the thermal\n",
    "tails smear the onset, and the rising current above 0.2 V comes from thermally excited electrons,\n",
    "mainly through the broad second resonance, which the bias pulls down toward $\\mu_L$.\n",
    "\n",
    "The zero-bias transmission, used with a widening window, gives a current that rises and saturates at\n",
    "3.66 nA: it never shows the peak and valley, because it ignores that the bias moves the resonance.\n",
    "That is the point of this lecture: in a device, the driving force changes the object, and a\n",
    "transport calculation must compute the object under bias, including (in the following lectures) the\n",
    "charge that the current itself places in it.\n",
    "\n",
    "## Summary\n",
    "\n",
    "- A scattering experiment characterizes an object by $T(E)$ and $R(E) = 1 - T(E)$; it needs no\n",
    "  occupancy, no contacts, no bias and no temperature, and leaves the object unchanged.\n",
    "- Transport through a device involves charged fermions: occupancy (Fermi functions) matters, and the\n",
    "  flow rearranges the potential of the object. Already a linear voltage drop shifts the lowest\n",
    "  resonance of the double barrier by about $eV/2$ and lowers its peak transmission.\n",
    "- A current needs channels and a driving force $\\mu_L - \\mu_R = eV$; the Landauer formula\n",
    "  $I = (2e/h)\\int T(f_L - f_R)\\,dE$ combines them. Ideal channels give $2e^2/h$ each.\n",
    "- At zero temperature only the window $[\\mu_R, \\mu_L]$ carries net current; at finite temperature\n",
    "  excited carriers contribute too.\n",
    "- The current computed with the biased transmission shows negative differential resistance; the\n",
    "  zero-bias transmission does not.\n",
    "\n",
    "## Exercises\n",
    "\n",
    "1. Move the contact chemical potential from $\\mu_L = 50$ meV to 20 meV and recompute the 4 K I–V\n",
    "   curve. Predict the new onset and peak voltages from the $eV/2$ shift first.\n",
    "2. Replace the linear drop across 10–25 nm by a drop across the right barrier only. How fast does the\n",
    "   lowest resonance move with bias now, and how does the I–V change?\n",
    "3. For the three ideal channels, plot the conductance $I/V$ at $V = 1$ mV against $\\mu_L$ from\n",
    "   $-50$ to 150 meV at 4 K and 77 K. Where are the steps, and how wide are they?\n",
    "\n",
    "## Further reading\n",
    "\n",
    "- [Lecture 6.3: the double barrier](../03_tunneling_and_bandstructure/06_3_double_barrier.ipynb),\n",
    "  the scattering experiment of Section 1 in detail.\n",
    "- [Lecture 10.2: sequential tunneling](10_2_sequential_tunneling_rate_equations.ipynb) and\n",
    "  [Lecture 10.3: coherent tunneling and the Landauer picture](10_3_coherent_tunneling_and_landauer.ipynb).\n",
    "- [Green's functions from scratch](../../book/04_resonant_tunneling_diodes/04_01_open_systems_and_wells/04_01_01_greens_functions_from_scratch.ipynb)\n",
    "  and the [RTD tutorial](../../book/04_resonant_tunneling_diodes/04_01_open_systems_and_wells/04_01_03_rtd_tutorial.ipynb).\n",
    "- R. Landauer, \"Spatial variation of currents and fields due to localized scatterers in metallic\n",
    "  conduction\", *IBM J. Res. Dev.* **1**, 223 (1957).\n",
    "- S. Datta, *Electronic Transport in Mesoscopic Systems* (Cambridge University Press, 1995)."
   ]
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