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{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Exercise: Optimize Hornsrev1 layoutV80 example turbine"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 111,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from py_wake.examples.data.hornsrev1 import V80, Hornsrev1Site, wt_x, wt_y\n",
    "from py_wake.wake_models import Fuga\n",
    "from py_wake.tests.test_files.fuga import LUT_path_2MW_z0_0_03\n",
    "from py_wake.aep_calculator import AEPCalculator\n",
    "site = Hornsrev1Site()\n",
    "wt = V80()\n",
    "wake_model = Fuga(LUT_path_2MW_z0_0_03, wt)\n",
    "aep_calc = AEPCalculator(site, wt, wake_model)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 112,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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e4WzqWYiOjr5Vq9U+/f7772tWrlw57+txHIf29nZ0d3dj1apV0Ov1875mSUkJfvzjH+PDDz8EADz++OMAgO9///szzr3vvvtw4403zsiwBia+ZNatW4fnn38eiYmJcLlcGBsbm8ysnppJDQAWy4TzJCYmBgCmZVTLZDJERERMpgUoFIrJn5dKRjXRREZ4U1MTUlNTkZaWFhIPXV1dHW644YbhoaGh/3A6neE0A4RTBWbAGBNpNJrH169f/+V33nknLhTV5UZGRlBTUwODwYDdu3eHLJlPSAKkx+OB1WqddtTW1sJqtUIikcBms0GhUECr1UKhUEAmk02Kx9SHcGpFO47jJkXIn0Htcrlgs9kwNDQEp9MJl8sFqVSK6OhoxMTEQKVSQaVSQSK59LcgYwxGoxFarRYtLS0oLCzEunXrJgVTKNnZ2aisrNTs3bv3BY1G86TJZPopfcq/wcMCMwXGmESn073xhS984aqnnnoqer5C4PP50NTUhJGREWzYsIFX9nEwBLp3L5wleDwemEwmjI6OoqGhAXq9HiqVCjExMUhOTobdbseXvvQlHD58GLm5uYLGIRKJIBKJIJVKoVAooFKpAp43Vdy6urpgsVjAGINarYZGo5nMo7pUSCQSrFq1ComJiaiuroZGo0FmZua8vgDi4+NRVFQU95WvfOXb77333irG2B30Kd4sLiww52GMSXU63Ttf//rXd/34xz+ed/rz6OgoTp8+jZSUFKxevXpBlgeBEiCNRiOsVit6e3sxODg4+QDL5XJkZmZi9+7dk+dbrVZ87nOfw89+9jNs27Yt5OO7EKlUivj4+GlBcH4BHB4expkzZ8AYg06nm9wb+1KgUqmwa9cutLW1obCwELm5ufPqWyqV4uDBg6pHHnnkhhdeeOFvjLGbicgbwiFfPiy2EWgpHADkWq02/8CBA/MOQOE4bjIxz2q1zvdyF8WfANnW1kYDAwOUmZlJBw8epJMnT1JXVxeNj49PnnthAqTb7aarrrqKfv3rXwvqe6GMvOPj43Tu3DkqKyujvLw8amhooNHR0ZDHscyGxWKh48ePU0tLS0j6/NGPfmTXarUfAJDSErjXL/Wx6ANY7ANAhE6nK3nyySfn7VJwuVxUVFRE9fX1C5qAN7W/P/zhD5SUlESJiYn0ve99jzweT1AJkC+++CJJJBJat27d5FFVVRV035fCi+TxeKinp4fKy8spLy+PWlpaFjyLmmjCO1dbW0slJSUh6e+JJ55w6HS6fJyPzv00HZ9qLxJjTK7X64/ffffdm3/605+KIiIiBF9reHgYtbW1WLNmDXQ6XQhHOR0iwvDwMM6ePQun04mUlBQkJiZeUtsFcOm3LfF4POjq6kJXVxeUSiXS0tKgVqsX1DPV39+PxsZGrFu3Dmq1WvB1HA4HHn30Ue7VV18tHBgY+Cx9iqrlfWoFhjEm1Wq1H/3whz/ceueddypqamqwdetW8BUZIkJ7ezv6+vqwceNG3u2DheM4dHV1oaOjAzExMUhLS0NsbOyiuX4Xa18kIsLIyAg6Ozths9mwbNkyJCUlLVgiqNPpREVFBZKTkwVVAXQ4HCgvL8f69evx+9//3vmrX/2qYHBw8Eb6tNhkFnsKtRgHAIlOp/vHVJuLyWSivLw8XlG1Xq+XKisrqaqqirzekMXizeijvb19siTBpVgiBMNSCLRzuVxUX19PeXl51NnZuWDLUq/XS6dOnaLTp0/z6sNut1NeXt60AMbHHnvMrtPp3gYgoiXwLCz0segDuORvGBDpdLojP/nJT+x0AXxExu12U2FhIbW1tS2IAdLr9VJraysdO3aMmpqaphlslwJLQWD8uN1uamxspGPHjlF7e/uCCA3HcdTS0kJFRUVB/S0CiYuf7373uzadTncYPFJWLtdj0QdwqQ+tVvu/Dz744KzunWBExn/z9Pf3z3qOUPwlG/Ly8ujMmTOChGU+G7QdOnSIMjIyKCMjgw4dOjRrH0tJYPyMj49TU1MT5eXlLUipBqKJtIr8/PyLZrxfTFyIJv7G999/v1Wj0fyUlsAzsZDHog/gUh7R0dF37NmzxzzXcuZiIjMyMkLHjh1bkFoto6OjVFRURFVVVYLzZOaTn2QymWjZsmVkMpnIbDbTsmXLyGw2B+xnKQqMH6fTSRUVFVRcXLwgoQImk4mOHTsWMJdsLnHx4/F4aNu2beaoqKjP0RJ4Nhbq+NSUSGOM5ep0ut8cOXIkbq5ITbVajZycHJSVlWFsbGzy9eHhYZw+fRpbtmxBKDeoHx8fR3V1Nerq6rB69WqsX78eCoVC0LWmbtAmk8kmN2ibSlpaGnJycmYYRj/88ENcc801UKvViIuLwzXXXIMPPvhA8PtaLCIiIrBhwwZkZWXh9OnTqK2thccTOseNWq3Gpk2bUFFRAbPZPPn6VIPuXPeHRCLBu+++G6fRaJ5jjK0J2eCWGJ8KgTm/beu7H3zwQXywEZoXiszg4CDq6+uxdetWhGKfIz8DAwMoKipCfHw8duzYMW/hCpSf1NPTM6+2RASfzwePxwOXy4XR0VH4fD64XC54PB5wHDcxHV5ixMXFYdeuXYiJiUFhYSEGBwdDdu3o6Ghs3boVNTU1GBoa4iUufuLj4/Hee+9p9Hr9+4yx0NX4XEJ84lMFGGNyrVb70YsvvmjIyMjg1dYvMoWFhZBKpdi+fTvkcnlIxuXxeFBXVwePx4Pt27cLnrFcSKAHfS5XNtHE5mcWiwU2mw3V1dUYGxtDZ2cn5HI5jh8/DpFINJn0aDKZ4PP5cPr06ckkR47jJvuamkWtVCqhUqkQFRW1KC51xhhSUlKg1WpRXV2Nvr4+rFmzJiRJlpGRkdi2bRtKSkrg8/mwadMm3l8Qq1evxnPPPWe8//77P2CM7aBPWIzMJ1pgGGNMp9O9/Mgjj2Rcc801gmZrHo8HYrEYHMdNPkTzxT8bysjIQFJSUkgfvNk2aJvK2NgYhoeHYTabUV9fD41GM7l9a0dHB5KTkxEREQGxWIzdu3cHjHfJz88PmL/EcRzcbjfGxsYwNjYGq9WK7u5uOJ1OiEQiqFQqaDQaxMfHL1jMUCAiIiKwdetWnDt3DoWFhcjOzkYoirX7y1iIRCLBy7B//dd/lTz00EOrnnrqqecA3DfvQS0lFtsItJBHfHz8I7fffvuoUG/C0NAQ5efnk8vlEhQncyEcx1FDQwMVFxcv2BYbUzdo8xt5T58+Td3d3VRZWUnHjh2j4uJiam5upi9+8Yv06quvTrY1mUyUlpZGZrOZzGYzpaWlkclkCtiPECOvx+Mhk8lEZ86coaKiIsrLy6Oqqirq6ekhj2fBdn6ZgcPhoMLCQmpqapqXp2mqQXdsbIzy8vJm/bzmguM4uummm0bi4uIepCXw7ITqWPQBLNShUCiuzc3NNblcrln/qBdjZGSE8vLypnlz5iMybrebiouLqbGxccET9/7+979TRkYGpaSk0Fe/+lXKy8ujr3/96/TSSy+Rz+e76AZtzz//PKWnp1N6ejodPHhw1j5C4UXy+XxkMpkmg+XKyspmJGkuFD6fj+rq6qi0tFRQf4G8RQ6Hg/Ly8gRXKnQ6nbRmzRqTWCzeRUvgGQrF8YlMFWCM6RISEmorKyt1QirH2e12lJeXY8uWLTMMumazGXzTCkZGRlBdXY2srCwYDAbe4wkWoon9lDo7O+FwOGAwGJCQkBDyOjRA6FMFiAg2mw29vb3o7+9HdHQ0li1bhri4uAW13fT29qK5uRm5ublBF5y6mEHXf+9s3boVkZGRvMfT09ODzZs39/X19a0hohHeF1hqLLbChfoAwPR6/dEjR44ICud0uVyUl5dHo6Ojs57DZyZz9uxZOn78ONntMwKHQ8b4+Di1trZSXl4eVVRUkMlkWvBZ0kLGwXAcR8PDw3Tq1CnKz8+ntra2BZ3VWK1Wys/Pp+7u7jnPDSbOxWw2U35+vuAxHz582KPX64/QEnie5nss+gBCfSiVyju/8IUvCIqC83q9VFBQQAMDA3OeO5fI+OvClJaWLph9wZ+Lc+zYMWptbb2keUqXKtDO7XZTS0sLHTt2jBobGxfsPY6Pj1NxcTG1trbOek6wQXRERL29vVRYWCg4bWHv3r1mhUJxEy2BZ2o+xydqicQY0yckJNTU1dXp4uLieLUlIlRWViI+Pj7orNnZlktEhNraWnAcFzCgbb64XC60tbVhaGgIy5cvX9Bs4tm41NnUHMfh3Llz6OzshE6nQ3p6eshCBqb2UVVVBYVCMaMKoZA4l7a2NthsNqxfv573WIaGhrBu3br+80sl89wtliafmEA7NhFN98of/vAHDV9xASZuBolEwislP1DEr8/nw6lTpyCVSrFu3bqQPvg+nw/Nzc0oLS1FTEwM9uzZg5SUlE/FntUikQhpaWm44ooroFQqUVJSgtbW1pCFDvj72LBhAwCgsrJy8tpCxAUAli9fDo7j0NHRwXssWq0W//d//6fR6/Uv8G68lFjsKVSoDqVSedctt9wiaGk0ODg4r+msf7lks9moqKiI2tvbBV1nNqYmQLa0tAge51xJkC6Xi2699VZKT0+nLVu2UEdHBxFNLB/uueceys7OpqysLPrv//7vRc9F8nq9dObMmQVLbGxtbaWSkhKyWq1BL4tmG+eJEydoeHhYUPvrr7/erFAo/o2WwDMm5Fj0AYTkTQCGxMTEASE3gdPppGPHjs17E66hoSF69913qaWlZV7XuRC73T6ZACnU5U4UXBLk008/TV/96leJiOiVV16hW2+9lYiIXn75ZbrtttuIaMIVm5qaSq+88orgsYSSqYmNod7Tu6mpid59913BsS1+/PeYkL/f4OAgGY3GfgDxtASeNb7HZT+3nro04humzXEcKisrkZ2dPa9QfY7j0NbWhrS0NHR3d09LkBQKEaGjowPl5eXIysrC+vXr52VzCCYJ8u2338a9994LALj55ptx9OhREBEYY3A4HPB6vRgbG4NMJhPkgl0I/ImNmZmZOHnyJM6ePev/0pkXDocDfX19SE1NRVtb27yWYhEREVi9ejUqKyt5j02r1eLJJ5+M1+v1fxY8gEXkshcYpVJ595VXXrn++uuv5/1empubER8fD61WK7h/juNQUVEBjUaDNWvWBMzC5ovT6URJSQkcDgd27949r3qwfoJJgpx6jkQiQUxMDEwmE26++WZERUXBaDQiJSUFDz/88CXbUiRY4uPjsWvXLlgslnl//lNtLtnZ2YiJiUFVVdW8hMu/H1Vrayvvtrfccotk06ZNO6KiomZuy7nEuawFhjEWpVQqDzz77LO8U5DNZjOGh4eRmZkpuH8iwunTpxETE4P09HQAs5d6CJa+vj6cPHkSK1euRHZ2dsh2gQz0cFwYwBbonPHxcRw7dgwejweVlZUoLi7G448/jo6OjsmguKGhIVgsFoyPj4dk9iAUiUSCnJwcpKeno7S0FAMDA7yvEcigm5mZicjISNTU1Mzr/a1atQp9fX2TW+/y4dChQ7HR0dFPMsZCkxV7ibisBSY+Pv7R7373u7F8l0Zerxc1NTXIzc2dlwemubkZUql0hkgJERmO49DQ0ICzZ89ix44d0zYnCwUXS4IkIlitVmg0Ghw/fhylpaU4evQohoeH0dHRgeeffx6bNm2C3W5HREQEcnJy0NzcDLvdjpGREQwMDKCtrQ3l5eU4fvw48vPzUVpaioaGBnR3d8NqtV5S4dFqtdixYwfa2trQ1NQUdN8X8xZlZWWBiNDW1iZ4XCKRCLm5uZNZ6HzQaDR44IEHYuPi4vYLHsAicNnGwTDG4pOSkhpbW1u1fG0TNTU1iImJQWpqquD+e3p60NXVha1bt84ayh5sWoHb7UZFRQXi4+ORmZm5IKHxXq8XmZmZOHr0KBISErBp0yb84he/gFqthtPpRHR0NN555x10dnbi2WefxVtvvYU333wTr732Gg4cOICmpiYcPHgQTqcTmzdvxne+8x3cf//9AfsiIrhcLlitVlgsFlgsFtjtdkRFRUGj0UCr1S5I+kKgcTQ2NsJqtWLDhg2QyWSznhuMK5rjOJSWlmL58uXzSvlob2/H2NgY1qzhV2fK6XRixYoVg729vSuIyCp4AJeSxbYyCz10Ot3vDx06xDvfP/UNAAAgAElEQVQWe3h4mIqKiubl1uQTCj5XxK/NZluw+r5T4TiOXn31VUpNTaWEhAT62te+Rp2dnfTII4/QW2+9RUREY2NjdPPNN1N6ejpt3ryZ2traJsd488030+rVq2nVqlX0i1/8grebmuM4slqt1NHRQaWlpZd018be3l7Ky8ubNV2DT4Su2+2eM5VkLjiOo4KCglnLkV6Mp59+2q3Vav+XlsAzGMyx6AMQNGggZcWKFUN8twrxer0XvdGCwe9y5HON2UTGbDbPWts1VIyPj1NbWxvl5eVReXl5yEojzDcOxuPxUHd3N508eZLy8/Opvb19QfON/LWULxQGPuLix2azzTu0wZ//xDemaXx8nNLS0gYB6GkJPItzHYs+ACGHwWD42zvvvMM72qypqWlecSo+n48KCgoEBU1dKDL9/f2Ul5cX8tgNPzabjSorKykvL29B8pRCGWjncrmoubmZ8vLy6PTp0wuWGOqfLQ4ODhKRMHHxMzAwQIWFhfOafQm9H1999VWvXq9/kZbAszjXcdnZYBhjq9evX3+8srJSw8dW4XA4cOrUKezevVuwYbexsRFisViw58lsNuNkRRVWZixHd3c3tm7delG7gBCsViuam5vhdruxYsUKaLXaBbHpLEQuEhFhYGAALS0tiIyMRGZmZshtNS6XCydPnkRKSgo6Ozt5h/9PZb73g8/nQ0FBAe8dRYkIa9asGW5sbNxGRMKtzpeAy86LZDAYfvfMM8/wEhcAqKurw5o1awSLy9DQEEZGRrBixQpB7QHg/RYbXm90orqmDuvXrw+puIyNjaGiogJ1dXVIS0vDzp07odPpFm1rWSEwxmAwGLBr1y6kpKSgpqYGVVVVcLlcIetDoVAgJycHdXV1SElJmVeR9ZUrV2JwcHDazgJ8EIvFWLVqFerr63m1Y4zhN7/5TbzBYPitoI4vIZeVwDDGdqxatWrN9u3bebUbGhqCSCQSXIPV7Xajrq4Oubm5gh/Yt0/34KW8GqxVc3i2AfjoRElIIn59Ph/OnDmDsrIyJCYmYvv27SGpNbuYMMYmXc0GgwGlpaVoaWnh7doNhMPhwOnTp7F161Z0dXVheHhY8LX8yZE1NTWC6/Hq9Xr4fD7eIvXZz36WpaambmaM5Qrq+BJxWQmMwWB46qmnnuIVIEI04apcvXq1oD6JJoLpVq1aJbhI9YnmITzzQRX2JnN4rkmMJosIT50ex/vHCuYlMiaTCQUFBRCLxbjiiitgMBh4C+AHH3yAlStXIiMjA0888cSM37vdbtx2223IyMjA1q1b0dnZOfm7mpoabN++HWvWrMHatWtDOtMAJoTGaDRi9+7dICIUFBRgZER4kbeprmitVoutW7eirq5O8AwEmNhZYMWKFaiurhZ8jVWrVqGhoQF8zRVPP/10vNFoXNKzmMtGYBhjOStXrkzhGzvQ3d0NtVoteC+j3t5eyGQywXEPjX1W/OiNU9iX4sNzTWI4vBMC0GFjgkXG5/Ohrq4OTU1N2Lx5MzIyMgQt/Xw+Hx544AG8//77aGhowCuvvIKGhoZp5zz//POIi4tDa2sr9u/fj0ceeWSy7V133YVnn30W9fX1yM/Ph1Qq5T2GYPDbOTZt2oT6+no0NDTwns0EinNRKBTYunUrqqur4XA4BI8vMTERjDH09/cLaq9SqRAdHY2+vj5e7TZu3IikpKQVjDHh6/YF5rIRGKPR+NgPf/hDXnN/fxKiULuJx+NBc3Mz74AoP0M2Nx58qRw3p47jpVYxbJ7pswshImOz2VBYWIjIyEjs2LFjXpvAzScBsry8HDk5OVi3bh2AiVygUKU1zIZSqcTOnTshk8lQVFQEu90eVLuLBdFFREQgNzcXp06dmtfuj2vWrEFjYyO8Xq+g9itXrkRLSwvvWcwPfvADjcFg+IGgTi8Bl4XAMMY0kZGRu6+66ipe7bq6uqDX6wVnITc0NCAjI0OQMdbj4/Dgy6dwnc6B97pE6HMGXrrwEZne3l5UVFRg/fr1WL58+bwNuPNJgOzu7gZjDNdddx02bNiAX/ziF/MaS7AwxpCRkYGcnBycOnVqzllDMBG6sbGxWLFiBSoqKgRnTSsUCixbtgxNTU2C28fHxwe9C6efG2+8kclksr2MseAqll9iLguBiY+P/+bDDz8cw+eB4jgO7e3tk0mIfDGbzXA4HEhKShLU/r/fa0QKM6FhlKFh9OIf81wiQ0RoaGhAV1cXdu7cGXT1+7kI9G0ZTAIkYww+nw+FhYV4+eWXUVhYiDfffBNHjx4NybiCITY2Fjt27EBHR8es+UZ8KtElJCQgLi5uxhKRD6mpqRgdHcXo6Kig9hkZGWhtbeU1ixGJRHjooYdUsbGxXxPU6QKz5AWGMSaRSqX333PPPbymEd3d3TAYDIJmH0QTNXVzcnIEzRI+qOtHZWM7oiRAfl9w7WcTGZ/Ph4qKCgDAli1bQmrnmGsXSJfLBZ1Oh4qKCrS2tqK6uhpmsxmVlZVQKpXIycnB4OAgent7sXPnThQUFMDtdodsfHMhk8mwbds2eDweVFVVTZt9CClzmZmZCbvdLtiWwhhDTk4OamtreS91gIlZjEajQW9vL692X/7yl+VyufwbjLEl9zwvuQFdiEgk2rtv375IPgWOiAjt7e1Yvny5oD67urqg1WqhVCp5t+2zjOG/j5zGtUkcXm0XAQheoC4UGY/Hg7KyMqjV6hlFqEPB5s2b0dLSgo6ODoyNjeGll15CdnY2ioqKkJ+fj8rKSuzYsQOHDx+GQqFAaWkp9uzZg3Xr1mH79u3o6OhAZGQkxGIxiouLodFoUFFRgby8PBQXF6OpqQnDw8MhcS/PBmMM2dnZUKlUOHnyJLxer+Aauowx5ObmorGxUbBHTKVSITY2lrdI+ElPT0dbWxsvgVKpVLj66qsjAXxGUKcLyJLfm9pgMHz/oYce4rUmGBgYQFxcnCDbi8/nQ1tbG3bu3Mm7LRHhu6+fxr4kN15vF2PMx18Q/CIDOoH4aAUyMjKQmJjI+zrBQER47LHHsGfPHvh8Pnz+85/Hxo0b8dvf/hbbtm3Dvn37sGHDBtx999248soroVarcfjwYeh0OqjVanzve9/DDTfcAMYYrr/+ejz44IOT13a5XDCbzejt7UVdXR0iIyORkJAAvV4fcm+T3y4jl8tRXFwMn8+H3NxcQUF0crkc2dnZqKysxPbt2wWJemZmJkpKSmA0Gnl79yIiIqBUKjE0NASdThd0u29961tx+fn5/wXg0q1Tg2BJpwowxhKzs7OramtreZWcKy4uRk5OjqAZiL88ohDP04ulZ1FQXgMA+EeP8MmhTET4ZrYPxmgZ9n72ypBvEj8yMoLOzk5YLBYYjUYYjUbeFer4pAoQfbxrY19fH9RqNVJTU+cVRRsIh8OBoqIiyOVy7Nq1a15erYaGBshkMmRkZAhq39TUBIVCwWuXCj9WqxWNjY3YunVr0G2ICCtXrhxuaWlZRUTCowdDzJJeIsXHxz+wf/9+XnuQWK1WiEQiQeLi8Xhw7tw5LFu2jHfb3tEx/PFYA9bEcfhnr/CljFRE+NJKDkd7RHiqxjfvYDw/RITBwUEUFRWhtbUVSUlJ2LNnD1auXLng5S8ZY1CpVMjKysKVV14Jo9GIM2fOoLi4GENDQ4LsFRfiXxZt2bIFaWlpOHny5LyWZitXrkR3dzecTqeg9unp6ejo6BDktlapVJNLvWBhjOEb3/iGKi4u7iu8O1xAluwMhjHGDAbDudbW1iQ+sR7V1dUwGAwQsif1fL51vvzncqygPvy9S4SzdmECw0C4L5ND4yhD6eCE9i+LJnxjvQx7r9oteCZjNpvR0NAwmUAoRHwvJBTJjlarFS0tLXC5XFizZo3gGU0gm0t7eztGRkawYcMGwbar4eFhtLa2XrSo2MWYz2y4t7cXZrMZ2dnZQbexWCzIysrq7Ovr4/8NuUAs5RnMquzsbDkfcfF6vTCbzbzWrlPb9vX1ISUlhXfbvDODGBnsx4ALgsUFAPYmcxh2YVJcgPlF/LpcLlRUVKC5uRnr1q3Dhg0bLiouFqcHHcPCI1r5olKpsHHjRqxduxYNDQ2oqqri7YWazaC7fPlySKVStLS0CB6fRqOBXC7nHWHrx7/LhJCZlMFgwNDQEK+2MTExWL58eRRjTJh3YwFYsgITFxd321133cWrnH5vby8SEhIEfdt0dXUJ2oLV4+Nw4O/1uCqBw9/PCf84N2o4GCKAdwNcg6/IEBG6u7tRUlKCxMREbNu2bdayBzaXB4dPnsMdz5Vi488+wo+P1AeVn/STn/wkYH4SAJw7dw5KpRK//OUvg3rvKpUK27dvh16vR3FxcdAemLm8RdnZ2TCZTII9OsBEhO6ZM2cELXXEYjGMRiPv4DlgIr5Fp9PxLlx+5513xkVHR3+Bd4cLxJIVGIVCcesNN9zAy0rX1dU1LTI1WIgIZ8+eFVSj9y9l55Aut+FEvwguAV4jADBEEPYYObzUKgLN4tYOVmQ8Hg8qKiowODiIXbt2zZpD1Tpow/f/VoMtPz+K//pbLYrbTPByhLK2IfxnEPlJ0dHRM/KT/Ozfvx979+7l9RkwxpCQkICdO3eir68PFRUVF32og3FFi0QibNq0abJAuRBkMtnk3khCSEtLQ0dHhyA7U2pqKs6ePcurzb59+yTR0dF38u5sgViSAsMY02k0mng+ZQecTicYY4I2BBsYGIBareYdlOdwe/GnE81YFUs4OShMXKQiwh0ZPvylVYxx7uLXmEtkbDYbioqKYDAYsGHDhoDu4NZBG/7z5Qpc8+sTeOVkF8Y806fglnON0CakzpmfdN111wGYnp8EAG+99RaWL18uOH9LJpNh48aN0Gq1s+Yb8YlzkUqlWL9+/bS9pvmSmpqK3t5ejI+P826rUCigUqkElYVQKpXwer28YnKSkpIQFRWVsFRSB5akwMjl8n233347r1JmPT09guNF2traBAXlHSruxKY4Fz7qEYHjEVA3lc+lcigdEKF/bH4Rv4ODg6ioqMCGDRsCpjdYnB788K06XPd/BXivth+zfaF6bSZQ1Mcr09nyk/x2rqn5SQ6HAwcOHMBjjz0W1Hu5GCkpKVi3bh1OnTo17eEUEkQXGxuLxMREwWkAYrEYGRkZgu05/uA5ISQmJvJe4t1yyy2RYrGY3xRygViSAqPRaO77/Oc/z2uDqb6+PhiNRt592Ww2iMVi3p4Vh9uLv5a1IjGSUG0WJi4rYzioZEAxz9nPhSLT1dWFM2fOYPv27QFdzu/V9uHqX+XjxdKz8HFzT9UHrNMNrcHmJz322GPYv39/SLxUwIQwbNu2DQ0NDejt7RUcoQtMGH1tNhtMJpOgsSQlJWF4eFhQyIBKpYLP5xPk8k5ISOAtMDfffHOU0Wj8d96dLQBLLpKXMaZISUnJXLlyZdBtHA4HZDKZoLyj7u5uQXabv5SdQ27cOP7Zyy8dwI9URNiXyuEPTWJB7f0iw7g8aOMmjKQSyfQ/p3Pcix+8VYe/VQZvZJREx2OopgcWpwcxkdIZ+UnAxMM2ODgIYML7ZrFYoFarUVZWhjfeeAPf+973MDo6CpFIBIVCMS3Cly8KhQLbt29HSUkJXC4XtmzZIsid7c8TKi8vxxVXXMHbmO+PFm5vbxe0/EtKSkJ3dzfv+r0KhQKMMYyNjQUdprB+/XpwHJfLGJMSkfAaFCFgKc5grrrxxht5KUV/f7+gglBEJKit18fhLyXtWKYkNIwIm71cm8ihdFAEy7hwt3a8nNBl9WBw1DGjlknHsAM3/baIl7gAgMyYCY+5F2+eqMT4+DgOHz6Mffv2TTtn3759+PDDDwEAb7zxBq666iowxlBQUIDOzk50dnbiW9/6Fh599NF5iYuf8fFx+Hw+yGQywYFvABAVFYXExETBSx2j0YjBwUFBdWP8MxEhxl6DwcDLm8QYw2c/+1kJAP75LiFmyQlMQkLCvbfddhsvA5VQgTGZTIiNjeUdUv5+XT/SI8ZQMji71+diaBWEFTGEwn7h4rI6lsM2HYff1ovxVLVnmk2mrN2Ezz1dhJZB/p4TJhJDfc3X8J3/uA1ZWVnYu3cv5HI5vvKVr+DAgQM4ceIEdDodTCYTkpKS8NOf/hT33HMPWltbMTAwMK+iTYHwL4tyc3Oxc+dOtLW1YWhoSPD10tPT0d/fL0ioRCIRkpOTce7cOd5tpVIplEqloFIOBoOBd4b37bffHmcwGO7m3VmIWXJLJI7jdu/YsSPg7zw+Di6PD9GKj70jHo8HPp8PCgX/PcGFurVfKunAlRoOv64TlutyfTKHd86JBYkTABgjCNcnc3imccLz1GHDRIIkCqBMysI3Xq+H2yvMY6KPIGy6cgOyv7AJa5NioVarIZfLceDAAURGRkIikUAsFkOj0eCKK66A1+uF0+mE3W7H8PAwmpubQUS47bbbBH22Uwlkc9m8eTNKSkqwefNmQbYekUiErKwsNDU1YcOGDbzbp6amorCwUFDBr+TkZHR1dSEujlf2C6KiouByueD1emcsg2fjM5/5DABcw6ujBWBJCQxjLGHr1q3i2T7E0nYT/v1P5ViXHIudGRrsXqGBQTIGrZZXLiSAiYJUo6OjWL9+Pa92LQM2uKxmNHBsTrdyIJKiCAox0GYVJi4RYsJdK3x4oVkMp/fja/htMveM1SJCRHDzEC8RCBs1hO16DmNehpNDDP/sBf557QYkq2e6/d1eH8AYxGIxxGIx5HL55EPTOmjDHb8vwk1ZJqzvGUSMQoy0tLTJurXBMptBV6FQYMOGDTh16hR27twpKDNbp9OhtbUVVquVdx6WVCpFfHw8BgYGeM+atVot6uvrJzYk4ylOGo0GJpMp6BQYuVwOrVYrZ4ypiUh4VfN5sqQEBsDG3bt3z2rJKjkfDFZxdgQVZ0fwm6MtuCOD4FXEIsvUgd0rNFihD867bTKZoFaref+hXzvVhc1awjsCo3ZvSOYCRusGB+G2dA7/6BZh0DVz3B02hheaCN/MYXiyhjA6h32HnReWK40cmiwMh5rFsE6pG/xOdS8iZGLU9ljQNmhHz+gYzI5xcAR8Z60XX3r0PcRFypAYF4EMrRI5STEYcY5j0OHDcxUWAECWRo57HWdhaGlFZuaKoCKtHQ4HPsgrRJQxI6BBNyYmBunp6aitrRU0C2GMYdWqVbwzlv2kpKSgtbWVt8CIRCLExsZiZGQEajWvIHVotVoMDQ3xyrHbsWOHrLa2dgOAf/LqLIQsKYHRarVX7NixY1aFKOuYKcSJkT78qnYUvrqJG9qgUmBHRjx2ZWiwa4UGuujAS6fBwUHeCZE+jvCP2h78WxJhIMi4lakkRRG8BPTMUp93LrbpCE4PUG2eXaA67cGJjD6CcOtyH7rtDL9r/Hi3g6l81DiAqnOz2wx8HGHY7saw3Y3qrlH8tbIb65Kmm8+aht34fp4bqbFSfMPbCWNnJ9atWzfr8sYvLr+u8mCwtBmHYmOwI31mwGVycjIGBwfR3d0tqKypWq0Gx3Gw2Wy8d4+MiYmB3W6Hx+PhPYPS6/UYHBzkLTDx8fG86/3u2rUr5vDhw9uxiAKzpIy8Mpls98aNGwP+zu31obbbMu21aCnB4WHw0ccPR7/Vhb9V9uDbr1Vjy8+P4rpfn8BP32lAXtMgnOMfh54PDw/z3qCstN2EFIULlcPCPrYrjRzyeoW1VUkJu/Qc3jw7d/upIhMru9BrQfiMkcMd6T682SnGm2cDiwsAdAzxS3wUM8xqWD476sHDR0fxpwYPikpPor29fYZHZaq4dDsYxr0cvvZiBdqGAl8zJycHLS0tgst0Cg2A86c1CMlx0ul0ky5+PkgkEohEIl5G9E2bNrHo6OhFrXK3pGYwHMelzmYYrOuxYtw33XC5PJrQbrv4Nc8M2HBmwIaDRR2QihlyU+Jw5fIYpIsZmIifkfbdmj7kxnM4eIa/cTdGRtAo5h7vbHx+GYd3zongCdLuE2gmIxURbk/nYPMAT9aLwdHFrzU65kGGVonWITvG2itgPvoHgOOgXHctsPbfpp1LXg+cR3+Dc51NEEVEQ3vTI5DE6DHWUYXR44dAPi+YWIJ3PvMfKM5Yj59SL0ZHR7Fu3TqIxeIZ4uLH6vLiy38+hSMP7oJSPv12lUqlyMrKQn19vaClklarRWNjI9xuN+/qh8nJyaisrOSdvyaVSiESiQT1qVarYTabg555r1ixAl6vV9jG2SFiycxgGGPGxMRE0Wzr89NdM6fqy6IJHbbglxseH+FkhxkFtW34S40FuT/9B7764im8WNI5Z5kCIkJJSx98xGCf5Rv/YuzQcyjsFxaUlxnDgQg4Y+H355oqMsYIDv+5yoemUYY3O+cWFz/xShmI88H80e+gu+UnSPjSM3A0HEdfT9e08+w1/0BkdAwSv/ocVJtuwkj+IQCAOFIF7Rd+hIT7n0b8Dfthevd/4fQQHj5qQcG5MRQXl2B0dDSguPhpH3LgB2/WBhyf0WiEx+MRFKHLGBOUUAhMlLbkOE5QfpLQWYxfYIJFLBYjPj5eyhgLbelAHiwZgcGEgXdWX3Ndj2XGa8lKElR/ZUUModnCYHV58WH9AH74dj0+88t87HziGB55owZHqnthdky/caq7LdBJ3Ggc5d8fA2FtnLCUAgY679YW9qfqtDO82sLh4RwORQMinBzidx2724vxvmZIYo2QxhrAxFJErboCtRVl085ztpRCs2HCKxqZtQuus9UgIsj06ZBET+z2K9WkgrwekHdimv/r0lEc7/Ei7/gJPFM9HlBc/Lx1uhd/rwlcl2X16tVobGwUFMTmz/UR0tZveBXSTkjyY1xcHO+tc3fs2CEFwH96FyKWjMDEx8fv3rlz56w+w/re6QLDMOHuFVIiQR9B6A+QUtIzOoZXT3XhoVeqsPFnH+GG3xTg8fcaUdAyhKONA1gVS2gUELm7PBrocrCglzdTWacmnLMzmN3CDMMyEeFfkjkcOSvCDWmiADaZi9M6aAdzmiFRfRwKII7WwDIy/ZuUHGYMeCcMt0wkhkgeCW7MOu0c55kiyPTLwSQThlG1nJAoceDtTobrUzhIRRcf22NH6mAZm2mDiI6ORlRUFO/aKcD8AuD0er2gPlUqFSyWmV+Yc6FQKOB2u3mJ4a5du2JVKlXgwLJLwJIRGIVCccXFDLztFxgctQpgSIAnJ0pCcHrZnEFuREB9rxW/P9GOu58/ieeOtyJVJUKKQY10bRREPLrepOVQPiREIAifSeDwT8EFxAl3ZnAo6BfheL/oIobf2XF7ORhVMyeWF74bqZjBe2Ei5ZTl7vjQWYwePwT1dROpA2o54RtrGZ5vJOT3iXBqSITblnMAZh/bsH0cv/6oOeDvVq5cidbW1qDe04UkJyeju7ubd7vY2FhYLBbesx+xWMzbYOsnIiKCV/mGTZs2MZVKtWiG3iUjMD6fL202g1n7kGPGzZsYRYLcvalKwjkBtYf0EYQzIxzKOkbQNuRAtEKC3JRYbE6LgzFm9ihiBkJaNAkKrMtQTbjDrR5hs5drEglmN1Bx3ut1ce/S7MTqDPBaP14K+GzDUMVNd7NGqXXw2SbOIc4Hzu2ESDHh/vVahzH05s8Rf8O3IY0zThMX/7KoZFAEtw/YY7j4uF4qPRvQXhYZGQm5XM7LRuHHv2ThKxT+YuZWq3Xuky/AL058iYmJ4dVu5cqV8Hq9wWcOh5glITCMMaVarZ7VwBvI9amPAAYEFNtPEWi3SVMSOqcYlC1jXlSdG0V55wj6LC4kxiqwOS0OucmxUCk+9nYkK4Eu+9wzpkDsMRKO9wn7EyVEElbHcnjnAre2EJHh4tPhHemFZ7Qf5PPA0XgCazdsmXaOcsU22OsmtuRxNhVCkTKxKybnsmPwjR8jds+9UCStDigufv7WKcIGDQedYvZxeTnCb44GTlZMT09He3t7UO9pKv5dKGw2/i4+IXaR+bTjO06xWIzIyEgZY2xRPMZLQmAAGC8WLBUoHkMfQegXMINJUQorzJ0afXFh6hl1obxzBFVdo7C7vVihU2LbMjX2JMnQbOX/MUdJCNFSYbM0ESaC6F5rFwcshMVXZDpHXEi+8UEMvvYj9P7x61Cv2YXE5BSMFrwIZ0sZdNFyeDKuBDdmQ8/vvwzrqbcQe+V9AABr5bvwjvbBUnwYg4e+geEXHsLvykcCGnR9xPB6hxi3LveBXWSpdKS6F13mmcmKcXFxkwFwfBFqT7nUAhMdHc27/KfBYOAA8N9mIwQslTgYY0pKyqxjOWueKTAaBWFYQHxVjIxg4e9ZhD6Cgp4xcTQx62oBsHWNF21WKbIToxElk2DA5kLn8NyZvBs0hCqBAX3b9RNesr6L2KiCjfiVMEJ2HGF3zibI9z4DYGJWBgA/+8/bAQBukRfHuySo/7f/mhb0CACxO76I2B1fvOjMZSrdDoZuB8MmDaF8OPB5Po7w55JO/H83rJ72+tQAOL7xKf49uPluMSLUYBsVFSUoo1upVPIWmJSUFHFxcbERAP/q4/Nkycxg0tLSZi2mG+jbSsQQdCyHHzEjTJhy+LUL1jB8IRJGEIuAETehrseKsg4zOoedUEfKsDElFpvS4qCLDhxstU7NodLEf/YiYYSdeg7HgogYvthMRiYiXJPI4TtrfUiKIjQ7IvCrOjF+WSvBN0skOGcHflkrwa/rxGiyK5CqJDy81oerEmZ6g4IVFz8f9YhwZQIHEZt9FvPXyh6MB8gYD1Ti00/P6BjGxgNvA6JQKODxeHjX7RVqsPWbA/jafSQSCe9tUFJTUxUA+Jd7DAFLYgYTGRmZmpycPKultHd0utU8QkwYExDsppYDpgBJgnNhjCT0CtguKCkKAR8os3Mc5nMfT6OS4yKQEBsBl8eH1iE7OK8XYgbYBBh3t+kIVabgdzgINJNJjyZ8fpkPpYMi/LJWDB8x6FWegILuI4aKfg/MDjHe7yLsMhC+le3D6yFcj68AACAASURBVO1idNoZb3EBAIeXoX6EYbOGUDaL983sGEf+mUFcu2Z6wmFkZCQ8Hs9EGQkvoaTNhMKWYRS1DqN92IHf370R160JnKQYHR0Nm82GmBh+9bJjYmJgs9l45xcpFAq4XC7eG+qJRCL4fL6g6xilpqZGikSihdngfA6WhMDExsamX1iW0Q/HEQas0wVGLQfMApZHGgVhOHgP3yRaBTAkQJhSlYSzQUQad42MoWtkYv0lZsB1yxRwiAhZBjlaB+0z3b+zQtim4/B0A79UhqkiU9znw8oY4Lkm8bRl04DVjaS4CHSPTF8npsVHotM0McP0EkN+H0ONmeGuDB/qRhh2J4h5iYufE30ifCnLh7KLBAa+V9s3TWA8Pg6VZ0fQYRfhr38uwN9bx2bUIC7vMM8qMH67CF+BiYqKgsPh4C0w/nZ8BSYiIgJOpzPoJM3ExERRfHy8sE2258mSEBixWJw6W8Fuk2N8xgMWIyOMCrCjaAQKhUYxYdPgS7KSglqqTMVHQCQ5caxThHbbOKJkYqzRKSGXitFvceFcgOWin1QlMDDGMCYg+LDTzlA95MO1ScATp1lAm0xCzEyB0asUkwLjx+xmONwmwnfXEY71+tDt4J+7ZfcyWMcZEiIJvbMYuvObh9DUZ0VxmwmFrcMoazfBMe5DVgyHzFiCj5vZb6CUEz+xsbGCqtVFRUUJtsM4HA7eSbf+WJhgBcZoNEKhUKTxHmAIWBICw3FcwmwCM2yfOVWJlgpbPsTLCXUCInG1CqB4QJgwDQpwpSdHEY6cT49xjPtQPSWLXKuUIzU+EoSJurtTUxq2aDmUCdyfKTOGQ2IU8Lt6hgfXigIafi9MNgUAZwCbhlpO+Hq2CL+t53BTKocz0YR2HjljfsoGGTZrObx99mOhiI+SYZkmCgTgrMmBf3myYEa7cw6Ga5IC21Ia+qyzFnxSKpW8Npz3ExUVJSizOjIyUpAnSS6X88qBOv9s8a9pEQKWhMD4fL642coIXpgTBABKqbAlUpQEcAgQpjg5YURAfxI2sWzg14YgYpi1Wt6Q3Y2hKaKbFh8JvUoB57gPy1Vm/LWT//uTiwk3pXJ4tlEMm2d271LbkP28cX3iZ6mIofWCGKXpNhcRXmhh+EqWD0/Wzb2x3IU0WxmuTyHkJMUgQipGv9WFsyYnTAHuiak4vQwK8YS7/kI3vXPchy7zGFLiZ/oUZDKZIBd3ZGSkIGHiKxR+ZDIZrxIVer0eHo9nUdzUS8KLJJFIpLMF2QXKPYmSEuwCaktHSgAH/y2GwQDeG6tFiElQnpRWAV7FrDpNTpR1mNE7PIoRN7DSoMLWZWqs0CmDTme4NnEincA/K5zNu2RzeZGh+7hQ1Ap99LSdIQMZdC3jDKWDIlyVEJx3RsSATP1EDFGGTgWnF+gcGEVZhxlnTcG7dU0uhrhZqiG0D8/u5vUbUPkgkUgE7RoplUoFCYxcLuclMFKpFGKxmF9tiBCx6ALDGFNERkbOOg5rAIERmuQYKSGM8bt3cLHcmIsxP0O0gIRKFaHFwtDYZ0NZhxktg3ZEycRYnxyLLWlqJMQGdtIpxISsWJqxtJpNZNSRH+8oo4r4eAJ8MW9R0QDDOjXNmsyYFBeBLcvUWJ8ciyiZBM0DdpR2mNHYb0OLhWG5iv/fYMg18VkGomtk9nVrRESEoM3VhCB0xiSRSC66b3cgpFKphDF2yZ/3pbBEioiKipr1DrK7Z36QCjHg5i0UgFQE3hnNchHgFlCgP1JCsAuYLWkUEOTpMkRMCMxUbG7fNKOmQSVHijoSXo7QPuTA6JgHGzWEiuHA268EcmFbXB8/ECb7xLfvXK5ojhhOm0VYr54InouLlGKZRgmxCDhndqJ7ZGyG8dhP/xiQwH+7cQy7GLQK4EwA2+uAZfYPWCaTCZpVMMbAcRyvDd2kUqkggZFKpbwF5nxxKykAYeX/BDLnp8EYS2aM5THGGhlj9Yyxb55//VXG2OnzRydj7PSUNt9njLUyxv4fe+cdHtdV5v/PuSNp1LtG1bIs9yIXOS5xBzaNTpZAgABLIJBsGiUEWH7bYFnYpe2SLCWUhCSksAnZkGwMYeM4jh3LVe6yZPWukTQjjUbT7z2/P65GVpmRdK8kW07yfZ55LN+ZM+fMzL3f+563fN9qIcR1I47fLIQ4LoT44ogpYmJiYqISjC84nkniLeYuejNIjGGUer+hcSb8PSmxEpepTOPJt1adLj+HG50cb+6jzxtkYU4SWwpi8MSkYI2JfCqMtWRq7W4SYhUsiqCu2z2lPBdrjMBjSWZbUSyl2Un0eYMcb3ZypNE5rk3tWHR5BbkJxi0YVxCSYyOP6x2MPqdZq8IMWQghTOnQmLFghq6xiAaFEOJeIcSZoev7i0PHMoUQfxFCXBj6N2PouCKEeFQI8YYQYtIWl1Oh2xDwFSnlcmAzcKcQYoWU8qNSyrVSyrXAs8AfhhawArgZWAlcD/xUCBEOA9wMbAA2CyHCm/mYiXq9ROrvYxEQvIQE4zVhiejEZG5cNI3ciZBuInRf1+1GUQNUNLuRUrKqQPffLMxJGqm0MIpkkiwai23JWGMspMdFJhcBLMxJYtOCTFYWpCIR7G8aJFbzU98ziJFrqtenO9mNwhMSJEY5rSL59cIwa8GYHWcGiqIY9vkMXWPjvhEhxCrgNmAjsAZ4rxBiMfB14BUp5WLglaH/A1wLHAI+BHxl0nkne4GUsgPoGPp7QAhRBRQC54YWKICPAO8cGvIB4CkppR9oEELUDi3+IBdz9OWIv2NiY2OjXlFBdfzJZRkRyZhtCKHnphiF1YJpR7RxP5EOo6UMCRaG5D8FAVVypv2i7EB6om5tWBRBi8NLo8s3TDL7nAILo8klP81KUUYSIU2jvnuQuqHHRQgCmh4lMxJZC0lBjInIuyekRw0jPhelXAD01H+j1gGYt0bMwMxc0QgGWA5USCk9Q+/9Gjp5fADYNfSa3wJ7ga8BFkAbekz6yxjywQghSoB16AwWxnagS0oZrqEvBCpGPN86dAx0K+co8LiUMlxzHjNR64dIX6QipKmL/lLDzBLFJSRPPZ8o8nN9niDHR7QsKcpIwJaWwBsOH9dk92FVVHZ3p5OfE4sW46W930dH/8TbnYGgICUWnJfgRq/JUXpXoxCMkM8TxqUkCrMI+3uMYAKCOQN8RwiRBXiBd6Nfo7lDxgVSyg4hhG3o9X8GHgc+BXx+0rVO9csc2tK8BnxHSvmHEcd/BtRKKX849P//Ag5KKR8f+v+vgZeklM9Ged/S7du3n/7Wt74V0ZXX6fLRPTD6xLUlQLfX+AWcl0BEqcyJEKvoF6LRiFBKrG75GN0mZceD02/cajLz2WIEpMVB7xQ+mxCC+BhF/z5iVBSgL2QhqIE/qE7pt5grny3ZGsOC7KSI4wKBAFJKw4r/Ho8Hq9VquM+5mb5Mmqbh9XpJSor8GSLh/vvv9xw5cmRRmDRGQgjxWeBOwI2+M/ECn5FSpo94jVNKaaznLVO0YIQQseh+lt+NIZcY4EZgpNZlKzCy90gRMFGaY0hRlIFdu3ZFJJjv7T7Pz0+P7l1z1wqVX1Yr+A2Gqu8rC/HD08YCZ0VJenXy0/XGTpxd+Xp7kGMGJRc+u1TlDw0Kzkm6Mo6Fmc+WGqu3MfnF+fGfTQhYkJVEToqVwYBKbdcAiRaVu8sEf+7JYGu6C4ngv85I/FhZbEsmIdZCl8s3rnQgjLtWhPhVtcVwioGZz5abILm2UOOx2vGfbeeSHD7z4Y0RRkFjYyNSShYsWGBovrDUg9FWtHv37mXXrl2Gxvh8Pk6cOMHmzZunPGZoxxDRXpVS/hr4NYAQ4l/Rr+EuIUT+kPWSDxhvg8AUCGbIx/JroEpK+aMxT/8VcF5KOVLQ9I/AE0KIHwEFwGLg8ARThILB6OGWmAjZYprU/TCXAlJiSH83jKCmWz9G4Q1BQozZbcRI19bkcAUhdUSOS26qlXmZiWiapLFnkPqhB4wORduyLISk4LGacAg7xKkR5QzZyXHMz0oCJE29HnqGwtkJMcbzl8xuh+Mt0X1ZCbHRbxaqqprqd22m37RZmJlr6BqLaE8LIWxSSrsQohjdYLgaWAB8Gvje0L/Pm1nrVG4LW4FPAqdHhKL/Tkr5EnpU6MmRL5ZSnhVC/B7d1AoBd0opJ3JbhiYK70UKn4Ykphx/ZuBT9ZPVKDwhomaSTjYuMcYYUYDurJ3IpxIJydZYFItgR2ka9c4ArU5vxLDxSHJp9wgGNDf+DI2GAYVHq8eXFfS4A8OkAjA/M5HSjFik4iIxVuAxEALMiMOUJrGu4RP5uZEJgmMRDAYNbT1GjjNDTGagaZphghlyXEfbsD875IMJol+vTiHE94DfD22fmoGbzKx1KlGk/UQ526WUfxPl+HeA70xxDcGJvPbxEe42flWP0kQ2+GYW+gVvblxR9PzBqHAPOUKNosurbwsmKgKNtQgW5iSTlhBLnydIrX2AQ50aIdVJqzOyuTU2zyXc6TGkaRRnJtPg8EQkmZFocngoidN4YwCCmoVleSmkJcTi9ASos7sntFByEyRdxoXfSI6NXneWmRSd+QOBgCmiMEMwZp3JoVCIiVI7oowRRN8ibY9wrBd4l6kFjsBlLxUA/BO1YUiyjv8ihwnGIFSpq9oZgU/V64qMYnCCPIyJ0OOHLBOWT5dHkBdBVmR+ZiIbF2SypiiNWEVwvlMvJajuGkCVUNkr2GiL3C4kUhJdVvLFUoFwN4WGATFMMpE0fgWSq3I0TjkEQVUOr6Gmy01CXAxritLYWJJBUcb4D5CbAJ0m2tNMpP2Tmxr9CzZriWiaZtjBGwqFTM1lhmCGdgkmMrOmh8teKiCl9BQXF0d9PiV+/BL1bYvxbUQ4+crINsJMNwCAPr+5LVKPT7A83XgWYYNbcE2hRpU7jpLsi/6PJof+iIb+gKDLK1iRLjk3omtltAzdkaUbI7OsR5LMWEtmdabekSFSy123PzRKjmKsH2hhqo/nGo3fB7Pj4WgUNbyijOi1Bx6Px7AAlFmYtZbMEIzf71cncVXMCi47wQAEg8FgNMdVWsL4H2AwJKImUU2E8HbHCMGEIZCGyMYd0tP+jaLby4RtO8YiIc4yFMFRKE7pxTHon1TOYCz+1KKrx9W6BAEtusxlfKxCTdfFlhkX7G5iFAgnW0cimQSL5LoijZ9VTe3u3uXyD/uBLIokL0mwqCCL/IDKhS4X/tDUvpuceBk1/B4tRA3mnLxmfCKgWxVxcXGTv3AMAoGAoTC6qqqEQqFLk2Y8BnNhi4SiKK5ovV4yk8b/AANBTPkpBifI7pwI/QFBquHzQKBKJhSujgS/JohVom/lLIoYljNYnpdCKKRxqrWfQw1OGl2Secb9kzgDgn0dCh8p1ci0alFrixbZkkdlVnsCKotto3M4RpJMRpzGRxdq/KVNMSUQVpIENX2SQw0OzrT1IxGsyA/LUSRFpfs4RY88je1wABAXo1ASQQsGdMvA6DYHdKsnMdF4RaZZC8bv9xsimO7ubmJjY4030Z4BzAkLxmKxtHd0dCyPlEOQnTz+i3QHzTlQnX797mxUXa3Hp98R+w3mpjh8giyrLh1gBG0eQWEiNA9l2hcNiYIHQip1djc1XZH1TI72CDbYNJobjF8kh7oVFqSo3L9G8uBZjdbB8feepLjxp0tqBAtTJxmNr6+VHLJDZa+5+9hGm8Zh+8WxgZDGuY6L5QxpCXo5Q4xF0Or00jFUJT0vSe8FHglLc1OIsURez+DgoKkIktlxZonJ7/cbyrfp6OhACHHJW5bAHLFgNE1r7ugYl2AI6DkVY/NQXAFBmnHLckKNkInHCbKjd4eNitZBQXGy8fk6fDHsnG9lw/wMclOttDq9HG5wcKKln4EJdCqq+/SOADEGrSbQfS5LMxXOOWFXfuT3GJtRDXpJwVjEKZKdeZIzDijLVgy1qQ3DqkiKkiR1EzQx7PcGqWy52F0zPy2eDSWZbC+20umLfO9cMy+6oHdfX59hwW8At9t9SYnJ5/MRHz/1E7Kjo4NAINBoeKIZwJwgmIGBgfpomqYxFmWcFdPr1wWdjCKsEWJ8nG7BGEWjmykRjDVGGa5kLs1J4rhdIxUvR5omlzMYCYngpENhQ46xtV70ucCjFyzUuQRfXKWyJPWiszkjMXY46W4k6rrdJMeFLSbJsnSNe1epnO0TPFZr4dFqDPfCBr39ip4FPXWrsaPfx5FGB2l4ONmtsciWzObSTFbkpxI7lJm5oSS68r/T6SSadOtEGBwcJDk5efIXRhh3KSyftrY26XQ6aw1PNAOYEwTjcrkaWltbo15JBemjvfqDoehaHxOh1w9ZJoiiwytMiR61DAqKI2zlhLgoZ7CqIBUp9UrmQw0O6rsHcQUFcYrEaiI8vq9DsC1Pm3I4Ploj+l9XW9icK7l7ZYj12RpLcyJHVkKaZEV+IhuyNe5dqbI+W/KLKgtHhtqNTBbCjoRYRbLJprG/01yCnYaeeFhrd1NR7+BchwuLIlhVmEpjzyBn2/sj5qD09/ebsmBcLpfheiIwH7FSVdVQFKm5udkTCARaJ3/lzGNO+GCAjsbGRg8Q0S6Zl5k4pt2EQErjkZ3gkAPVKPoDgrQ4idFUfL8qsCj6BZOVnMC8zARCmqShJ5KcwWiccSqsyZQcjhJqjQavKjjZq7AlV/L6JBfoRGJRzoDg0QsWMq2SjTmS9dkutqaG6PULPEE9BH/rEpUMqyQ+zs2REDxywRLRTzVRCDsStudJDncrhkXCAdZlSU47xv/IvqDGmTYXZ9pc/Pj/LpCdHMeWhdlsW5TNtsXZ5CTFoCiKYSevlJJQKGQ4GhQmOCMKeKCTi9GIVVNTk48hyZVLjTlDME1NTVGDx5G8/g6/0Ds1Gqxy9oQESTHSsKhTr1932E51vpT4GBblJDMoBtlcIHm91Uena+re3mM9gptLNQ6b8P3v7RDcu0rllENEdUxPteOiwy/4U6ug0mWle0CSZdVrihamqjzfpOAMQGF6/IQ6tzB1ksm0SsqzNP7jjIlMSqA8W+PhmsnH9rgD/PFkO388qW/Nry2JY12+Fc/ZTnYuyYmYQR4JZqqhAbxeryE/ShhmtmPNzc0hLhPBzIktEtDR2hrdgivJGr9PtQ+lxhtF8xT9ImPRNCCYP8G4WIseQt08pOjv9oWobOljT6MfW6xxGVSHXyCEfsEZRUAT/LFJ4aYFU8/QnQhFGQl0ufxoUtDtEzS7dfGoXr9Ak4IWp5fcKD22R2Ly7ZLkI6Uaf2i0GG73Avr54FOFuZ5ZFi9PnXbxhceOGcojcjqdpKenT/7CMejr6zM1zu12GyaY9vZ2Beg0PNkMYK4QTH9PT0/UJ0e2ygij0yvINZFw2eQWzDfuj6PJDSUpoy+KkuxENi3IpKwojRhFcK7DRcWQon/4lfUDgtKU8PbKGF7vFOzIM6cNWt2v4ArAttzpNaKH8T6wSJiXOTUn1UQk884Cve7ITJM2gJ15GvtM+G1AUpwkaXbrLVMKp/B5wzDrGDY7zqjFJKVkYGBAHVKYvOSYEwQj9Q1pe2dnZJJdZEsep07W7hEUmMiF0QnGTERIsDhdcNX8DNYXp5OZGEdjj96T6HRrP94oFcKqFNi9el6LUZx2CBanyaGyCON4tlFhXbbGwqG2H2bIBSAQQXh9LDQDhXuRSGZZmsayNMnzzeZOyaQYybxkyfk+4wSzIEV3yEsE16yYen8yKeW0LBgzBNPf328oB6ahoYGYmJh6wxPNEOYEwQCoqnrg2LFjEZ9LssZQPOYO2enVW3UYxWiH7cRIslpYU5TGpgWZ5Kcn4fRJ6jsdHGvuw+GZuhl9tFuwMce4JSIRHOxS2JFnjmBUKfhtjYUbS1SWpkXP0J0IFkVQ2x29UVkY0USmomEkySxP03hvscZvLyhoJrZGAO8o0JvHGa1PA9iQo3FkyJl+w6rILYwjYWBggOTkZMOOWiml6TIBo6HtY8eO4fF4XjM80QxhzhBMV1fX3oMHD0YNq6wsGM3amhRokqjNvCZC2GE7FjGKYFleCptLM1mam4JvqC/0oQYHzQ4PVX2C5enG56vqFyxJkygmtkkH7YI1WRpJ0Tu7TAhXUPBco8Lnl2s8X68ZIhfQw+nuKTShcgwGJqzxiYSGAcHuJo3PLdd4tkEx1U0BdGW+pWkyanHjRIgRkgXJklqXYGFOEqsKpx6mttvt2Gy2yV84BmYdw+HSAiNRpAMHDrgcDsd+w5PNEOYMwQDH9u3bF5VgIv3wrYPCVO1NnUvfegAUD8sZpBMfo3C+c4CK+otyBiNxzqlXHRuFJgUXXIJlJsaqUrCnXeHaKM3cJ0OmVfKJJQqPVCtcU6QN+YOmjozEqd9lbVNw9I7EklSNnfkaj9YofGqZuYxfgBvm6fVORtv7AqzK0KvIJYK/Xm+sP3xXV5cpgunp6SEzM3rCXzSYcQy//vrrPiDy1uASYC4RTGNdXV3UJ9cWjf9iGwYECwxeMJlJcYiENLYUxGBLsdLs8HC4wcHJ1j7cE7SzAN3ySY2TWE1YTQe6FHbkm7uAjvcIChMlhYlmM3Qlp50KD5238N5ila25UyeriXoIjcVE7UBGQ7IzT+PaIsnPqyycdCiGk/HCKEmWZFjhlMOc9bMtT+NAl0KMIviwAYIJBAKoqmoqUa6rq4vcXOO96B0OhyFiklLS3t6uSSm7DE82Q5gzBDPk6O202yNrC6+el45lTFFS/RQIJiHWQlmh7kcpyUrEMRjg1XoXFi1Aj9t4j9ZTDoXVWcaJosurb+nyTfiNJIJnGix8eIGKmOI2K1oj+p+eszAvSfKZJeqkchKJcRZq7RMUA43BBfvAcEp+NKTFST63VCMnQfKzqotV1mYyfhUh+VCJyjMN5nwvxckSd0jg8AuuW5WHLWXqeSltbW0UFhZO/sIxCIVC+P1+U0WOvb29hgimqamJmJiYRsMTzSDmDMEAaJoW1dGbbI1hWd7ofavDD1lWOeqiUwQstiWzaUEmy/NTCKkap9t0P8pFR6SgcTh8bAzHegQbss1ZInvbBbsKzG11Or2C6n7BXxVOPvdE0aKQFDxVb6HCLrh9ucrVNi2qpMQiWzIRGmtGhS+oscQW2bdgEZLteRqfX6ayr0MnzLFyCkZJ5voijVMOhR6fOetlV77G3nb9Erh1a4mhsa2traYIpre3l+zsbMPjNE0jGAwaSs47duwYXq93n+HJZhBzimA6OztfraioiBqO2LhgLHsLWgcF6/Li2FiSydp56STFWbhgd3OowUFVxwDBKF3Mzpl02Dr8AkUwFIkyhhqX3mfZTPIcwMutCsvSNUomCLNPNRRd1afwk7MWMqySr5SpbMgeTzQTqe9HQ/IYBUKLkGy2aXy5TCUpBv7zjIUaV/TTbqoksyhVY34y7Gk3Ry62eElqrKTRPZR6MH/qloHb7SYmJsZUJu50tkdGw9oHDhxw9fb2vm54shnEnCIY4Nhrr70WNSZ6dWkWAOkJsawrTmdDSQZdgVgyFT+HGx2caOmbUM5gJC70C5ammUuAO2raihH8qUXhBpMOWw3B72ot3FSqkhwhqmQ0z8WvCl5qsfDTcxZyEyRfLVN5/3x1KPwv6XQZ7HYGQ1mwkoJEyQfnq9xXptcrPXjWwp9ap1ZfNBnJpMVJbizR+F2tYlrS9N3FGi+16AR61zsXGRrb0tLCvHnzJn/hGEgpDW9zwuju7iYnJ8fQmMvt4IW5RzANNTU1EStd91/o4VCDg4U5SfR5g1Q26zoghztVlpqwRAKaoMdvLgGuskdQnq2ZCjuf7xekWyHfoMM2DIdf8HyTwmeWqqM0W8wm0YEuQfpii4UfnLbQOCB49zyNv1urcXWamw3ZGvOSJnZsWy16JuzGHI2NKf18Y63GtYUaF1yC75+ysLvFgtdgP6RoJBOn6P6jZxosptqZABQnSeIU3YdXXpzOrqVTjwSpqkpnZyf5+VPPlwnD6XSSlpZmSjWvp6fH0NZKVVVaW1u1SJ0cLyXmSrEjoDt6582bV1lZWXldeXn5qOf+7rnTNEcQr3YFBbGKJMEiDZ/ER7sFG3I02pqM/eB+TXC+T7A6S3Ki1+hJLnixWeH9xRq/OG/OOVnTr5ATDx9fpPHYBYUMK6bJZSRUKTjlEJxywIb56dh7nZSmSLamauQmSOIseiM60NX+7ysLIYTe5aHLq4uH7+9UOB9M53hz/8STTQFjCyRdAfjkYo03uhTT5QQged98bVhI/GvXLzM0uq2tjfz8fFMk0dLSQlGRsVA46AJTQghDiXkHDx7EYrEcMDzZDGNOEQxAR0fHw88888y28vLyURkuO5fk8FhFU8Qx55wKy9Mlxw1e7FV9gvfM0y0RozkU+zoVPr1YHSIYg+XzboErCGsyJSdNhlcPdCmkxqp8arFGSZoybXIZC4mgya0/Ij37lTI1ajvXvBxzldCRcJFkoNWl0TggONxt3vDekC3p9OqlJteuyGXT0LZ7KpBS0tDQwKZNmwzPq6oqDoeD1atXGx7b1dVFXl6eoTG///3vXW1tbb81PNkMY65tkVBV9U/PPPPMOFPlHcui7z/POAVlmeaS2GpdgiUmtlh9AYEzICgxUTgJ8HyTwnVFmuk6I4BD3YLlGdDs0miLLi1jCg0R1OsuYmIia3Ga6JQ2AZoGoMOtsThdj+KZRWKM5B0FGv/brGCNUfh/71lhaHx3dzepqammnbs2m81U94HOzk7DBPPCCy/4gVcMTzbDmHMEI6XsHxwcbB8r37BlYXbUqEa7B2wJ0lTZwJEexXTYeToZtp6Q4NV2hfcVm8/QvbtM4cGzgk4vfHrx1FXsJsP8rETDrU9GoqPfR0GaCW3SCIhVJLcu1WgYEPyiSphKxgvjg/M1/tyq4FMFd71jEcVRugtEgpSSCxcusHDhQlNzm3UMB4NBfD6fIYmGCxcuEAwGa6WUM8v0JjDnCAbA5XI9+sc/iEo0sgAAIABJREFU/nFUCml8rIWdS6JZMYKzTsFKE5ZIsxtyEqSpHkatg4KACgtN5NMAHOnRxctXGmy0Ntqhq7C7xcIFl+D25eZrlkYiL3X65FA4QXOzqSI1VnL7cl046y9tynAv7C+uMU4yazM14hQ46dDrzW7fZYwo7HY7CQkJhiqZw/B4PAQCAVNjOzo6DDuUn3vuOX9vb+9l3x7BHCUYt9v9h8cee6xv7PEbyqKbiZU9CuUmQ8f7OxW2GUifH4mXWhTeXaxiJtwNgifrFN5TrJE6RYKLFi060KXwSpvgb1eopgS1RsI7BXmGyRDSzH2fYZSmSL6wXGV3izLK55Kbk8U1Wzdwf7llyiSTESe5pkjj6XqFWIvCD25aQ2yU1iWRIKWkurqaZcuMOYTDaGhooLS01NRYMxnDTzzxhMvn8z1vasIZxpwkGCllY2Njo8ftHp0S867luVhjIi+5w6vLMCSauIMf6xGszjS3xbL7dL2XVRnmLurBkF7t/IlF2qRlAJOFos/362LdH5qv8q6Cyd8vEmItgtquqZcHREN996CpDBVFSK4t1HhPscpD5y3UjkjKu35lHo98ZiOFeTau275xSiSjCMknFqn8d70eKv/SNUsMVUyDfpFnZGSYSu8PBoPY7XZTYW2v10soFDIkz+BwOLDb7X1SysuiYDcWc5JgADRN+5+XX3551NmTbI3hXcuj5ywc61G4yoQVo0rB8V5zYwH+1KpwfZF5H8gFl0KdS/CB+dHv+kY0dB88ZyFOkdy1UjUsK7ooJxlPFPEsI+j3BlloM1bqnp8ouWeligT+6+xoAfEv7Czlp58oH9bKzcrKmgLJSD5conHWqdDoFmxfnM0dO41tjVRVpba2liVLlhgaF0ZzczPFxcWGNWNA99tM1Lc9El566SXN7/f/3vBks4Q5SzB2u/3JJ554onfs8Q+sjW4uHu0RrM+OrEM7Gd7oEmzJNXfX7w8IKnsV3llgfmvycpvenvZq2/iL22gSnSoFu1stPNdo4eZSlQ/OV0mYYrQqLdFET94oyE6amnxDYozkrxeofHiByu/rLaOkF5LiLDzwsXV844blKGOKXScjmZ15EkXAqx2CwvQE/vPmdYajONXV1RQXFxtq1RqGlHKYYMyMbW9vp6CgwNC4xx9/vNfhcDxteMJZwpwlGODIgQMH1GBwtFzAO5fZIvarBj0y0+s3p7k7GBI0uvWtkhm82iEoy9RMdY7UoftjNuRoLEm7SDLTydBtHRT85KyFtkHB3StV/qpAm1RqwjGN6NFYDPhDEz4fb9G3Q3etUGlwCR44a6Hdc/Ezri5K44W7t/G+NdEvsmgksyJdY1Wm5L8bFBJiY/jFJ9dHPW+iweVy0dvby4IFCwyNC6O1tRWbzWaq/3RPTw9paWmGxvp8Pk6cOBECzhiecJYwZwlGSqlpmvbHF198cdQtPdai8MEJrJjXOxXTQtl/aVW4ptBcCYAmBX9osPDhKEr+U0FQE/ym2sL7ijUWpMhpkUsYEsGRHoUfn7Hg1+DeVSo3zFMj3vFTrDHU2ieXx5wqLtjdWGPGrzvTKnnvPJW7V6oMhuBHpy0c772Y1RxnUfjyNUv4wx1bKM2Z/G4xlmQWp2pcV6TxcI1eq/Tjj64x7HeRUnLq1CnKyspM5a5omkZtbS2LFy82PBZ0x7BRYnv22WdVVVWfkpFqbS4TxBxayzgIIZZt3bp13/79+0fFp2u6Brj2x9Gq0CVfWqXyq2qLqfYV752n0u0THDKZLXrTApVmt/nxoBfz3bFcJTHOwkPnmNEMXYuQrMuSXJ2r4Q0JjnYLzvUJAppgTVEaJ1unluL/lbJQ1EzekVhVmMaZtn6simRFhmRDjiRWgYNdghMOMU6Dd/vibP7p/StZOAViGYve3l7+8noFDk+In1Xpv/8/vm8Fn9lq3AJpaGhgcHCQVatWGR4LUF9fTzAYZOnSpYbHejwejh8/zrZt2wyNKy8v766srNwopWw0POksYc6VCoyElPJ8QUGBvbm5OWfkPnZJbgobSjI40uiMMEpwoEthW57G7hbjKeuvtCvcvVLlWI8w1Zvn+SZ9fP2A3kPIDCxCl0rwBVUUMXNp96D7Z472CI72KOQnSNZla/xVoYYzIPBZ/HQmSLq8YKZGaiQEkrwEWJfuZ3OySlqc5JxTL9Ts8o5/72V5KXzt+mW8Y5lxCcqRyE62IhFYhMY971psilxcLhfNzc2GL/AwQqEQTU1NbN++3dT4+vp6w9ZLTU0NXV1dTXOJXGCOEwyA0+n8wc9//vMH//Vf/3VUSOJTV5dEIRg97HxfmcYrbdJw+1Gvql982/IkezuMX2QBTfBUnYVPLFJ54Ox4UaXJEN4W/bJKMhi0cOtSlZdaFKr6Zn432+EVdLRYeKlF10fZmB/k+iINW4LEExJ0ePQixr6A7sgeDEJAg6Cm009SjF6VnBQL6XGS9Di9+Vl+oiQhZmisN8TBdiUq2a4uSuOOnQu5flWeqa3I8Gfp6KCmpoatW7fi8XhIij/ONduMZ86qqkplZSXr1q0zVdAIUFdXx/z58w31jw4jEAjQ09PDihXGyhgefPBBl91u/zfDE84y5vQWCUAIkVBYWNjY2NhoG/mDBVWNbf+2hy5X5H5Su/J1P8zeDuMXZqwi+eIqlZ+es5hWut+Vr5EWJ3neQKV2JJ9LYozks0tVKuzKcEP52UBuqnXUd5kYI8lPhNx4SZpVJ4/EGIgd6rVdlKQXIgY1GAxCf0Cvz7J7Be0ehivbhYCMxFgcgxed9dYYhetX5XHL5vlsKDGujTIWjY2NtLW1sXHjxmGnqMPh4NSpU2zatMmQbu7JkydJS0ujpKTE1Fq8Xi+HDh1ix44dpkLT1dXVxMXFGbJg/H4/JSUlXZ2dncVSypnz0s8A5rwFI6X05ubm/s9zzz33uZtuumn4F4u1KHx6Swn//qfqiOMOdun9mfd3Gt/qBDXB7haFD87X+F2dubvYax2Czy2VrM7UZR0nQzSHrick+HmVhU8u0shPVHmxyZx6/mQozkwcRTCekKDOpXdgiISvlIX4edXk342UsCArGbevn6sXZvGesnyuW5VHWsL0w+GapnHmzBkCgQCbN28eZXFkZmayevVqDh06NGWSaW1tJRAIMH/+fNNrOnPmDCtWrDBFLqFQiPb2dnbs2GFo3JNPPhkKhUK/m2vkAnM4ijQSdrv9u//yL//iGHv8ExvnkxQX+ST3a4LjPQpbcs1ZaGecCvExsDjVXERKIni8Vo9KTdYNYLJoUVATPFyj4A3p9UZm6qYmwzQz+ydEfno8lf9wDb+9dSMf2TBvRsjF6/XyxhtvkJiYyPr16yNuZ0aSjNc7sTqfw+Ggvr6edeuM58qE0dnZiaIoplqZgO57KS4uNrQ1k1Lyve99r6+np+cHpiadZVwRBCOlbOzu7j53/PjxUcfTEmP5+KboSUz7OgWbbZqpEgCAZxsUPjBfG6UcZwReVfBIjYWPL1Kj1hpNNRQt0Qv+XmkX3LFc79Q4UxAC6ntmLjw9FsebnCRZZ85Y7uzspKKigmXLlrFo0aIJCWEqJOPxeDh58iRXXXWVKb8J6NbH+fPnWblypanxwWCQtrY2w1uzAwcO4HK5jlxu5bpouCIIBqCjo+MfvvOd74yzYm7bXhq1Pimg6eJEO022Xu0LCI5061aIWfT69fyYzyxRxxGdmTyX6n6Fn1dZ2JEn+cgC1VSPprFYkJWE0zP1/kdG0d7vo24K7WcnQzAYpLKykubmZrZs2TJlCcmJSCYYDHLkyBHWrFljqtYojOrqakpKSkxpxYDuGC4pKTHsWP72t7/d29HR8Y+mJr0EuGIIBth34MAB51idGFtqPB/bGN2Keb1TsC7bvIzB6516F8h5SeYv5LoBPXR+65KL1tB0kuhcQcEvqxWa3IJ7VqmsMCj3MBY5BjsymsGB2h7TY6WUdHR0sH//fnJyctiwYYPh1P1IJBMKhTh8+DCLFi0yJcQdRm9vL319faZ9N16vl87OTsPj6+vrOXnypF1KecTUxJcAVwzBSCml0+n86v333z9OxuFvdy0kPjbyR1Gl4P/a9GJEMwgr+X+0dHrWwtEehTNOwd8s0ciON9eIfjT0ZL6Hzlsoz5Z8YZmKzWSZwuAkKf0zgdcvmCMYl8vFwYMH6ezs5Oqrr6aoqMi0j2Qkybjdbo4cOcK8efNM9TcKIxAIcPr06Wn5bs6fP8+yZcsMO4a/9KUvObq7u+81NeklwhVDMACBQOB/9uzZ037+/PlRx22p8Xz66pKo4yp7BQVJ0lRXRdC3Oa92KHy4dHqWwoEuhbZBuH+N5DdVxhvRR0J/QPB4rd4S5GML9YJBI2JMcTEKFwx0bzSLivpe1Cg9qiLB4/Fw4sQJTp06xYoVK1i3bp3p7cdIZGZmsmrVKl577TWysrJMFSKGIaXkxIkTLFmyxPT2qq+vD6/Xa7hX0okTJzh06FCjqqp/MTXxJcIVRTBSStnV1XX7PffcM84X87e7FpEaH81BJ3iu0cKN06gTOtajgISrss2TTKZVsjHPQkUXvLNAzpjEJehC4j85a6GmX/CZJSofLVWn1OBtsS0Zf2j2c6EGfCFOtIwzPsfB7XZTWVnJsWPHyMvLY+vWrYYbvk8EVVWpq6ujuLiY9vb2SaNLE6GpqQmr1Wq44jkMKSWnT59m1apVhq2fO++8s7erq+sLpia+hLiiCAZASvn66dOnzx8+fHjU8bTE2AkbaLUOCuxeWG9S8wXgmQaFXfkaOSa2IiN9Ln9otFA/ILhtmYZ1GqLfYyERnHLohY2nHYJPLFL57FKV5enRZShSZjC6Mxmi+WGklMORoZMnT1JYWMi2bdvIy5tedu9YBAIBKioqyMvLo6ysbMoh7EhwuVw0NTWZrlUCXSsmIyPDsJTm3r17qa+vPyGlPGp68kuEK45gADo7O2+/8847e8dmIf/NlgXMn0DI+cVmhXcVaKZU70DPrXmyzsKnFk9dXwUiO3Rf71SosOsh55nPaxGc61N44GwMu1sUVmZI7lutcn2RNty1MYwe96XLzdo/wg8jpaS/v5+qqir27t1Ld3c3K1asYOvWrabV9yeC1+vl4MGDlJaWDjtTjeTJjITf7+f48ePTKifw+XzU19cbLoaUUnL33Xf3dHZ2/q2piS8xrkiCkVKebm1tPfjnP/951JUZF6PwzXcvjzrOqwr+3KrwoQmU4yZDm0fwcqvCp5dEbxo/EhNFi070KrzYrHD7cuPKc1NFu0dvNP+fZyx0++Dd8zTuK1N5zzyVsmyFxp7Z97+EcbrVQWtHF2fPnuW1116jpqaG1NRUtm/fTllZmSlR7Kmgv7+fiooKVq1aNU660ijJqKrK0aNHWb58+bTWe/r0aVasWGFYK+a5557Tenp6/k9KWWN68kuIOV+LFA1CiJIlS5Ycqaqqyh7rff/0bw7zWk131LG3LlE5aBfTKiB8V4FGplUXNIpWeTzVUHReguSWRSr/165wonf2OT9OkSxPl2wpjCMJH15VUOcStA7qhOT0M2nP58nkGgSSTCsUJEqKkiSlqbrA1MKiXNYuLsZms5lOajOClpYW6uvrWb9+/YStP6ZSuySlpLKykvT0dNMi3gDt7e10dHSwfv16Q+NCoRBLly7tqa+vXyOlbDe9gEuIOV+LFA1Sysa8vLwXnnrqqU9+/OMfH/U5vvWBlVz74334Q5Etlf9u0K2GJrfAY7KY8ZV2wccXSrbnSV7vjCyqNNVQdKdX8MA5C59YqFGSrPLHZmWcTspMIqAJTjoEcampHGkMkRIrKU2RFCdLNtl0oauQpkeo+ocqqd0hvYo6qOkV1fEWWJ2pDRU/QnIMw0WRqbGSGEXXB273QPug4PVOgTsk+ExqCu826RQ1Ak3TOH36NMFgkK1bt05KZlOpXaqtrcVisZhWuAN9a1RdXc3WrVsNj3344YcDbrf7ySuFXOAKtmAAhBC24uLiMxcuXMgZ27f3v16t5ft/jlwICVCWobE+R/JIjbn+0KCLN92+XONAp+DEiIJG80l0kncW6NbFk3UKDv/skQxAfpqVjv7I1egWIUmLQyeMOEnycCW1bgFttEn2dyrDpOMOjSQkospULMlN5uUv7ZzNj4Xb7ebEiRPk5+dTWlpqyJ8TzZJpaWmhtbWVTZs2mSpkBN0COnToEKWlpYbrlbxeL4sXL+5ua2tbIqWcPBw3R3BF+mDCkFLa3W73A3//938/Lg/98ztKWZ4ffY982qngC8GmHPMEq0rBr6oVduRrrMrQraVMq+Qe00l0gj3tCrtbFG5dog4JgM/ODaAgLT4quYD+2Rx+Qf2A4ESvwv4uhVc7FF5uU3ixxUJ/AF5u04/t79K3dg0D+piJNHBqutzYXb7Z+EhIKamvr+fo0aOsXLmShQsXGnYWR/LJtLW10dzczIYNG0yTC+iyEomJiaaKIb/61a+6vF7vv11J5AJXuAUDIISw2Gy2k7t3715ZXl4+6rkzbf188L8OEIqS4BWnSO5eqfK7WgudEVTWpooEi94k7ECnwl8vjmXh8pV87skq+r3m63viFMn7ijWy4+GpemVUC4+ZwM0b5vGBtYUcbnBwrNnJqdY++gzUI01VMhMgMymO1UVprC/OYOOCTMrnZxhqfDYVeDweKisrSUtLY/ny5aajO2GELZkFCxbQ3NzM5s2bTYl3h9HX18epU6fYunWr4bW98cYbfOhDH6q02+1XSSlnse595nHFEwzo2r2LFi3af+bMmayxNSo/+ksNP3nlQtSx+QmSjw+pzxlVvxuJwkSN+9ZI1q1ZTUlJCefaXXzqN4emHQZelKrxoRKNI90Kr3dObB0Ywc8+Uc4NZaMjKm19Xmo6B6jrdtPs8NDm9NI14KPXHaDfG8QTuNjxMUwwQkBirIW0hFiykq3kplopTE+gOCuJhTlJLM1LIT9t6oJPRhFOnGtvb6esrIysrKwZe++6ujqqqqrYsWPHtCJGwWCQAwcOcNVVVxnqMQ361mjlypU9DQ0NG6WUDaYXcZnwpiAYgKysrL+/9dZb7//+978/6hcMqRo3/uwNTk0gZr0hR2N5uuTRC+b8MZlWyf3lMbzz6nLOnTvHihUrsNlsNPQM8qnfHKLFYT5bFCBGSN5RIFmTqfFSi8K5acpnKgIq//5awz2QNE3iD2mENI0jB/ezZdsO4izKuH5FlwLh5Lzq6mqKiopYsGDBtK2WkQi/97Jly6iqqjKsjDdynUeOHKGwsNBUzdOdd97pevLJJ//J4XD82PDgOYAr2gczEg6H418fffTRpqNHRyc3xlgU/vPmdSRGEaYCONKtMBjEVOO0MLlcv3MzNpuNq6++murqalpaWliQncSzd2yhzGDLjLEISV0L5pfVFtZlSz6/TKVoGtXdZYVpphqsKYogIc5CSnwsihDEx1ouC7k4nc7hAsjNmzezaNGiGSWXpqYm6urquPrqq8nNzZ1Wxm91dTVJSUmmyOXAgQM888wztU6n8z8ND54jeNMQjJRStdvtf33zzTf3+v2jnZcLspP45/dPLAT0XJPCsjTJMgPSByPJJVwvY7Vaufrqq2lra6O2thZbSjxPf2Ez164wVswWCf0BvbJ7d4teHf75ZSrzTTS637poajoqcw29vb0cPHiQCxcusHLlyhkrgAwj3OS+q6uLzZs3E45Mms347ejooK+vz7CAN+g+pVtuuaXHbrd/+Erzu4zEm4ZgAKSU1U6n80ff/OY3x0WVbrpqHjeWR7+LaFLw2wsK752nUTCJxCVEJpcwYmJi2LhxIy6XizNnzpAQa+EXn1zP3e9cxExkwLcMCn5VbeF/mxXeWaBxx3KVZWlTb3u7bfGVQzDhrdCBAwdoaGhg5cqVbNy4kbS06VmFkeY5deoUPp+PDRs2jLOIjJKM0+mkpqaG8vJyU2UPX/7yl119fX3/ciX6XUbiTeODCWMoqlT54osvlm3YsGHUc96Ayod+eoDzndHT43PiJX+zROWh85aokZuJyGUkpJRUVVUxMDBAeXk5sbGx/PlsJ/f9/uSkbVWNIC9Bsj1PoyRFUtmjcKhbRG06lxBr4cQ/XoM1Znpbir1797Jr165pvcdE8Pl8NDU10d7eTlZWFgsWLCAlJWVW5goEAhw/fpyMjAyWLFkyISFMJePX4/EMJ+yZkXHYt2+fvOmmm47b7fYNc6lLoxm86QgGQAixZOHChQdOnTqVPfYHbuwZ5P0P7sfli36BL0iRfHC+ys+rLMPtN8KYKrmMRFtbGxcuXKC8vJzU1FSaege584njnGlzGf9wE8CqSMqzJZtteiO1yh5B1VDXxjB2LMnh0Vs3Tnuu2SCYYDCI3W6nra0Nv99PcXExhYWFs1pS0NfXx4kTJ1i6dOm4OqVomIhk/H4/Bw8eZM2aNWRkZBhez8DAAKtXr+5ubGzcIKVsMvwGcwxvSoIByMjI+MK2bdu+98c//jF97B1pb7WdWx85wkT6R6syNHblazx0/mL42gy5hDEwMMCxY8dYtGgRRUVFBEIaP3i5ml++Xs/M/wSSwkRYk6WxIl3i8OulAeecgi9dt5zP71g47RlmimACgQCdnZ10dHTg8/nIzc2loKBg1gofR6KpqYnGxsZJ65QiIRLJBINBKioqWLp0qalkOk3TuO6665yHDx++t7+//zHDbzAH8aYlGIDc3Nxf3XHHHTf/0z/9U9LY5371ej3/8r9VE46/KltjfbbkV9UKaXGYJpcwgsEgJ06cwGq1snLlSiwWCwfrevnqMydpdU4vlD0RchMka7MkS9M0VuSnUJibQ3Z2NllZWYwtsZgqzBJMuHNhb28vDocDi8VCTk4OBQUFs7YFGotQKMSZM2dQVZU1a9aYtpBGkkxcXBwVFRUsWLDAtADVV7/6Vfdvf/vb39jt9jktg2kEb2qCEULE2Gy2A7/4xS/KP/jBD447i77xh1M8ebhlwvfYmquxJkujOC2O63dePW11NSklDQ0NNDc3s3r1ajIzMxn0h/j3P53nsYqmCa2q6SI7OY6DX9uF0+mkp6cHh8NBMBgkMTGR1NRUUlNTSUlJISEhgZiYmAl9ERMRjJSSUCiE1+vF5XLhcrkYGBjA4/EQGxtLVlYW2dnZZGRkXJKK6pHo7e3l9OnTlJSUMH/+/GnrzjgcDk6ePElsbCzz5s0zLfz95JNPBu+9996D3d3d77iSo0Zj8aYmGAAhRIbNZjvxyiuvFI9VHwupGp/97dEJpR0yrZJvlAvyMlPZsmXLjOVbuN1uTp48SUZGBkuXLsVisXC82cn/e+4M5zpm1jcTxvvXFPCTj60bdUxKicfjGSYCt9uN1+slFNJ9VLGxsVitVhRFwWKxDD+ampooKipCVdXhRyAQIBgMDo+Lj48nJSVlmLwSEhJmXEhqqlBVlaqqKlwuF2vXrp1Wi5Kx77t//378fj/bt283lYx37Ngx3v3ud9fb7fZ1UsrZ+fEvE970BAMghFg+f/78144dO5YzNpV80B/iY7+siJjpO9Ln4nQ66ezsZMOGDTN21w0X57W2trJmzRrS09NRNckTh5r40V9qZrxX0b9/eDUfuWrqDeGllASDQQKBwCgi0TSNU6dOsW7dulHEY7VaJ7V8LgfCW5ni4mIWLFgwY+sLBoMcPnyYoqIiUlJSTPXCHjqn7K2trVuklHUzsrA5hLcEwQAkJia+t6ys7Lf79+/PHFu05hgMcNPP36Cue3D4WCSHbnNzM83NzWzatGlahW9jMTAwwKlTp0hKSmL58uVYrVb6PUEefPUCvz3YRCCKro1RHPzGO2esLmi2w9QzAZ/Px7lz5/D7/ZSVlRl25E4Ev9/P4cOHKS0tHc7SnUoIe+x7bNq0yXHu3LmPBAKBV2ZscXMIb6pEu4ng8XherKur+8ntt98+zgTNTIrj8c9toihDPymiRYuKi4tZuHAhBw8enJYa/VikpKSwZcsWbDYbBw8epLa2lpR4C998zwr23reLj22cR6xlenfd0pykWS06nEtQVZWamhoqKiooKChg8+bNM0ouHo+HiooKlixZMqoEwEgynpSST33qU/3Nzc3ffbOSC7yFCAagt7f3Wy+88MK+Bx98cJwgSX5aAk/etpll2XETRovy8/NZuXIlFRUVuFwzt10WQlBQUMD27dvRNI19+/bR0dFBflo8371xNa/et4tbNhdHbZM7GbZfoeUBRiClpK2tjddffx1FUdixY8eMdybo6+vj0KFDlJWVRexlNFWS+f73v+/Zu3fvn5xO5w9nbHFzEG+ZLVIYQoiEnJycNx544IGVH/3oR0ftcwYHBzlYcYir1pdPGi0K57WEK6dnGl6vl5qaGvr6+li8eDH5+fkIIehx+3n0YBNPHGoyJAXx0CfXc+3KvBlb31zaIoWJpa6ubjgbdyZrlMLo7Ozk/PnzbNiwgaSkcZkPozDRdunhhx8OfO1rXzvZ3d29TUp56do6XAa85QgGQAiRkpOTc/Chhx5aGg5fDw4OcuTIEdauXTvlULTf7+fo0aPk5uaaUk+bCrxeL7W1tfT29rJo0SIKCwsRQuAPqew+3cnvDjVxpNE54XvEKILKf7iGlPiZ8xvNBYLRNI3W1lbq6+vJzs5m0aJFs0IsUkpqamro7e3lqquumnLuUCSSGQpHnx0il8FJ3uKKx1uSYACEEOk5OTkVjzzyyKKdO3dajJJLGGFx6VAoNK2krcng8/moq6vDbrdTVFREcXHxcAP4+m43zx5v5fkT7RET9tbPz+DZO7bM6HouJ8H4fD6am5tpa2sbJvexQmMzhVAoRGVlJQkJCaxYscKwZOZIktm9e3fo9ttvP9/d3b1FSnnp+sVcRrxlCQZACJFls9kO33///aWf/exnp5VEF047Ly8vn9WM1GAwSGtrK83NzSQlJVFSUkJWVtaw9XS82cnu0x385VwXjb0eAO5512K+fM2SGV3HpSYYKSU9PT00Njbi9XopLi5biVLjAAAPr0lEQVSmqKhoVhP1XC4Xx48fZ+HChcybN/Xw/lg4HA5++ctfyh/96EcX7Hb7pitNV3c6eEsTDOidCXJzcysefvjh4htuuGFaWXT9/f1UVlZO+4ScCqSUOJ1OGhsbcblc5Ofnj0u3r7W72VttZ9vibJblzWxtz6UgGCklAwMDtLe309nZSXp6OiUlJTPaqzravM3NzTN2w3juuedCd9xxR0NXV9fVUsreGVrmFYG3PMGAbsnk5OQceOihhxZGKikwgmAwyOnTp9E0jdWrV5uu9TE6Z7hg0OPxjCoYnK2kt9kimHBL2fb2dux2O0lJSeTn55ObmzujuUfR4Pf7OXnyJHFxcaxatWraFtJTTz0VvOeee2qGfC5vGcsljLcJZghDPpkDDzzwwOKx0SUzaG9vp7q6mpUrV85KlCkaQqEQXV1ddHR0MDAwQFpaGtnZ2WRnZ89YejzMHMGESxV6enro6enB5XKRmppKfn7+Jev+GEZXVxfnzp1j2bJlU5ZumAiPPPKI//7776/q7u7e8VbxuYzF2wQzAkKI1JycnH3f+ta3lt1+++3T9hp6vV5OnTo1fDe8FHfgkQhbA+GL1+v1kpaWRnp6+nB90KWupvb7/cN1T319fbhcLhITE4eru9PS0i55qYHf7x+url69evW0I1FSSv7jP/7D+93vfvfMUPHimz5aFA1vE8wYDOXJPPOBD3xg289+9rPU6d5BwzkaFy5cYMmSJRQUFFy2Wp0w4fT39w9f5IFAYLgoMSEhgYSEBOLj44cf0aIm0QhG0zR8Ph9erxefzzf8t8vlwu/3ExcXN0xuYaK7nN9H+LdZunSpaZmFkQgEAtx66639L7/88ivd3d0fl1JG7273FsDbBBMBQgiRlZX1z4sWLbrrpZdeysjMzJz2e/r9fqqqqvB6vaxateqSaZ9MBiklfr+fgYEBvF7vKGLw+XyMPT+EEFgsFvr6+khJSRn3vKIoWK1W4uPjh8kqISGBlJSUWclRMQuXy8Xp06dJTk5m+fLlM+Irs9vt3HDDDY7GxsYfOByO713pcpczAinlFfUA5gGvAlXAWeDeoePfB84Dp4DngPSh4yWAFzgx9Pj5iPfaBRwF/j3SXPHx8R+YP39+95kzZ+RMobe3V7722mvy9OnT0u/3z9j7XiqoqioDgYDcs2ePVFX1ci/HMHw+nzx58qTct2+fdDqdM/a+lZWVct68eXar1Xq9jHze/gawA2dGHPv20Pl6AngZKJAXz8v+EefsP4wYczNwHPhipHnm2uOyL8DwgiEfKB/6OwWoAVYA1wIxQ8f/Dfg3eZFgzkR5r6eBBOCHwLIor1mRm5vb/Pzzzwcjn1rGoWmabGpqknv27JG1tbUyFArN1FtfMrz66quXewmGEAqFZE1NjdyzZ49saWmRmqbN2Hs//fTTAZvN1gAsltHP2x1A+RiCSR3x9z3hm98QwbwY5X3+B7AATwHJ0eabK48rrthRStkhpTw+9PcAuiVTKKV8WUoZVvKuAIqm8HYKend5jSgtHaWU57q6utZ+7nOfO/Htb397cOhHnhaEEBQXF7Njxw5UVWXfvn00NjaiaW8aIbM5A1VVqa+vZ9++fQgh2LFjB0VFRTPi99E0ja9//evuu+6667Ddbl8rpYzao1hKuQ9wjDk2slo2CabUdya8cEmUc3ZO4XIz3HQe6NZJMyPuBEPHXwBuGfGaQaASeA3YPuJ116Gbmz+cwlyxNpvtkfe///1Oj8cjZxKBQEBWVVXJPXv2yPr6+ivCopnrFkwwGJR1dXVyz549srq6WgYCgRl9/4GBAXnttdc6bTbbTwGLnPr5embMse8ALcAZIEdetGB6gZPAbmDliNd/euhc/spU5rzcj8u+ANMLh2TgGHDjmOPfRPfBhB3YViBr6O/1Qz9mqtl5MzIy7ly8eHHP8ePH5UzD7/fL6urq4YtiLvto5irB+Hw+ef78eblnzx5ZU1Mz48QipZSHDh2SpaWl3ampqbdKY+fsOIIZ8dw3gH8e+juVoe0P8G7ggpF55tLjsi/A1KIhFvgz8OUxxz8NHAQSJxi7F7hqmvMvt9ls577+9a+7Z4MEQqGQrK+vl6+++qo8fvy47Ovrm/E5pou5RjBOp1MeO3ZM7t27VzY2Ns6KFejz+eSXvvQll81mO8UE/pZoj0kIZv4EzzUC2UbnmwuPy74AEz+SAB4F/mPM8euBc2Ezc8TxnLAJC5QCbUDmDKwjJjs7+5+XLl3aU1lZKWcDmqZJu90uKyoq5L59+2RDQ8Os3JHNYC4QTCAQkPX19fK1116Thw4dkt3d3TPqvB2Jw4cPy4ULF3ZnZmZ+Y6pborGPsQQzkqSAu4Fnhv7OG2GBbxxyAwgzc17ux2VfgIkfaRu6gysc3jsxZEbWDm1/RoWjgb9GD2efRPe3vG+G17PCZrOd+7u/+7uB2bz4PR6PrKmpka+++qo8evSo7OjouKxh4stFMKFQSLa3t8sjR47IV199VV64cEF6vd5Zm8/n88kvf/nLA2atFnnxPHkS6ACCQCvwWeBZdN/LKXS/YeHQa+8acc5WAFvMznu5H28n2s0AhBAxWVlZ/5Cdnf23Tz/9dNaaNWtmbS4pJX19fbS1tdHd3U16ejp5eXnk5ORc0rqdSynXEAqFsNvtdHZ20t/fj81mo7CwcNbLCo4ePcrNN9/c63Q6f+RwOP5NSqnO2mRvUrxNMDMIIcRKm832zG233TbvH//xH5Nmu/ZISl2yoaOjg+7ubuLj48nJycFms5GcnDyrF99sEoyUukxDd3c3drudQCBATk4OeXl5ZGRkzHppgd/v55vf/Kb7sccea7Tb7R+WUlbP6oRvYrxNMDMMIURMdnb2P6WkpHzh+9//fsaNN95ouVS1NoODg8MX5eDgICkpKWRmZpKVlUVKSophNbaJMJMEo2kaLpdruJ2s2+0mOTl5mCxnsgp8snU8/fTT6je+8Q2H2+3+SW9v73fftlqmh7cJZpYghMjPzc39YU5OzjUPPPBA9qWWlwxbAQ6Hg97eXgYGBrBYLKSmppKWlkZycjIpKSnExcWZsgjMEIyUet2T2+1mYGAAl8tFf38/mqaRmppKZmYmmZmZpKSkXPICyJdfflnee++9vU6n83+7urrul1LaL+kC3qR4m2BmGUKIxXl5ef9VWlpa/uCDD2atW7du8kGzhFAoNFxJPTAwgNvtxu/3oygKCQkJJCYmEh8fj9VqxWq1EhcXR0xMzPBDURSEEAgh2Lt3Lzt37kRKiaZphEKh4UcgEMDv9+P3+/H5fHg8HrxeL5qmYbVaSUlJITk5mbS0NFJTUy95f+qROHLkCHfddVdvc3NzRWdn5z1SyvrLtpg3Id4mmEsEIcT63NzcX2zcuLH0xz/+ccbChQsv95KGoWkaXq8Xj8eDz+cbJodAIDCKODRNC0dEGBgYGLY0FEUZRUQjCSo+Pp7ExEQSEhJmdIs2XdTU1HDPPfc4Tp48WdPZ2Xm7lPLk5V7TmxKXO4z1VnsoivJXubm51bfeemtfR0eHvFIxF/JgzKCtrU3ecsstztzc3LPADjkHzok382Pu3FLeIlBV9f+6urqW/+53v/vC2rVrm2655Za+s2fPXu5lvelx6tQpPvrRjzrLy8sbfv/733+2q6trldQLEN/GbOJyM9xb+QEoiqJcl5+ff2jjxo3dL7zwgnalaKxcCRZMKBSSzz33nFpeXt6dn59/AHgXV2hG7JX6uHzetbeBlFJDr6n6sxBi6W233fb3cXFx1952223Jt912W0Kk3sdvY3K0t7fz0EMPeX79618PBoPBF7u6uv5VSll7udf1VsTbTt45BiFESlJS0idTUlK+uGrVqoz77rsv+5prrplTDlKYG61jR0JVVXbv3i1/+MMf9p4/f77H5XL92OPx/E6+hQW35wLetmDmGKQuovVT4KdCiLVnz579qhDimmuuuSbmYx/7WMauXbtmrU3qlQafz8eePXt44oknHHv27AlJKf/U2dn5Aynl6cu9treh420L5gqAECIW2JaXl/dJ4NpVq1bF3XLLLZnvec97LNnZ2ZdlTZfLgrHb7bzwwgvq448/7jh//rxfSrm7q6vrceANeVHR8G3MEbxNMFcYhJ7iujwjI+Oj8fHxH8nOzs762Mc+lnLjjTfGL1269JKt41IRjJSSc+fO8Yc//MH71FNPuZ1OZ7fX632qr6/v9/LtGqE5j7cJ5gqHEMJmtVrfn52d/WlFUZauXbuWnTt3pm3cuDFu7dq1s9YeZbYIxuVyUVlZyeHDhwOvvfZa/8mTJwHO2e32RwKBwItSyp4Zn/RtzBreJpg3EYQQMcCKmJiYq3Jzc/9K07SrYmNj08vKyv5/e/fv2loZgHH8+7TnpFAv9RYMNO0NqYiD2614L+Ki6KIujoKD4qDgZv8BxUlQF12cFHHQQXBwcNOh0y2WItpBsGBDS9J6S6RKpCFv+jqcc+uhKBH07Y29zwcOnLwk5O3ybU5+vO9pdFZWVpibm/vXz/VfBObo6IjNzU3W19cHa2trv25tbRFC6E1NTX2zv7//1Wg02gB+8KXP/5cDc8GV0Xlgenr6oYWFhSdOTk6u5Xl+udVqxWazmS0vL8+0Wq27FhcX1Wg0/vGe0OMCU90ju9vt0ul04s7OTr/dbh/v7u6O2u22Qgi/SFo/ODj4uhIT/3r5AnFg7kBldBrlsZjn+dL8/Px9MzMz98YYr4QQ6lmW1Wq1Wlav1+Ps7GzM81x5npNlmfI8V7/fv1Sr1X4LIcThcMhwOIz9fl+Hh4caDAZhNBoNsiy7KWlvMBj81Ov1tkMIHaBDsbJb1zG5+BwY+1tliOoUOzNklSOnWLY0nDmOgZsOh93iwJhZMpP19VAzu1AcGDNLxoExs2QcGDNLxoExs2QcGDNLxoExs2QcGDNLxoGxU5I+lPSzpK3K2FVJNyR9K2lD0vVyXJLek7Qt6TtJD1YesyppU9Kzt+PvsMnhwFjVR8CTZ8beAt6IMV4FXitvAzwF3F8eLwPvA0i6BFwDrgPPpZ+yTTIHxk7FYhuP3tlh4Nb6DndT/FgR4Bng43IB/xvAZUkNQJXH2R3Oa/LaOK9S7HrwDsU/pEfK8SVgt3K/PWApxrgh6XtgA3j7XGdqE8evYGycV4DVGGMTWAU+KMf/anf6CBBjfDPGuBJj/OSc5mgTyoGxcV4APi/PP6N4bwWKVyzNyv2u8OflkxngwNh4HeDR8vxx4Mfy/Avg+fLTpIeBoxhj93ZM0CaX34OxU5I+BR4D7pG0B7wOvAS8Wy4+dUzxiRHAl8DTwDbwO/DiuU/YJp4XnDKzZHyJZGbJODBmlowDY2bJODBmlowDY2bJODBmlowDY2bJ/AHd9tWxYrSS7AAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "site.plot_wd_distribution(n_wd=12)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 113,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "AEP ref 692.800850831212\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Original layout and AEP\n",
    "wt.plot(wt_x, wt_y)\n",
    "aep_ref = aep_calc.calculate_AEP(wt_x,wt_y).sum()\n",
    "print (\"AEP ref\", aep_ref)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Exercise**\n",
    "\n",
    "Modify the x and y offsets for the rows and columns to increase the AEP.\n",
    "\n",
    "Note, the turbines positions are limited by a rectangle surrounding the existing layout"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 116,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "AEP ref 692.800850831212\n",
      "AEP 696.6038571239302\n",
      "Increase: 0.548932 %\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def add_offset_plot_and_print(row_offset_x, row_offset_y, col_offset_x, col_offset_y):\n",
    "    x,y = wt_x, wt_y\n",
    "    y = np.reshape(y,(10,8)).astype(np.float)\n",
    "    x = np.reshape(x,(10,8)).astype(np.float)\n",
    "\n",
    "    x+= np.array(row_offset_x)\n",
    "    y+= np.array(row_offset_y)\n",
    "    x+= np.array(col_offset_x)[:,np.newaxis]\n",
    "    y+= np.array(col_offset_y)[:,np.newaxis]\n",
    "    y = np.maximum(min(wt_y), np.minimum(max(wt_y), y.flatten()))\n",
    "    x = np.maximum(min(wt_x), np.minimum(max(wt_x), x.flatten()))\n",
    "\n",
    "    plt.plot()\n",
    "    plt.plot(wt_x, wt_y,'b.')\n",
    "    wt.plot(x, y)\n",
    "    aep = aep_calc.calculate_AEP(x,y).sum()\n",
    "    print (\"AEP ref\", aep_ref)\n",
    "    print (\"AEP\", aep)\n",
    "    print (\"Increase: %f %%\"%((aep-aep_ref)/aep_ref*100))\n",
    "\n",
    "\n",
    "\n",
    "# =======================================\n",
    "# Specify offsets \n",
    "# =======================================\n",
    "row_offset_x = -np.linspace(0,1,8)* 478\n",
    "row_offset_y = np.linspace(0,1,8) * 0\n",
    "\n",
    "col_offset_x = np.linspace(0,1,10) * 478\n",
    "col_offset_y = np.linspace(0,1,10) * 0\n",
    "\n",
    "add_offset_plot_and_print(row_offset_x, row_offset_y, col_offset_x, col_offset_y)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}