{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# PyKat Tutorial v0.1\n",
    "\n",
    "Sebastian Steinlechner, 08/2016\n",
    "\n",
    "[**PyKat**](http://www.gwoptics.org/pykat/) is a wrapper for the interferometry simulation tool [**Finesse**](http://www.gwoptics.org/finesse/), both maintained by the University of Birmingham (Andreas Freise _et al._). Basically, _PyKat_ allows you to automate your simulations, e.g. running the same simulation for different laser powers. Normally, you would have to run _Finesse_ multiple times, collect the output data for each run, and then manually combine them in _gnuplot_, _Matlab_ or similar. If you have been using the _SimTools_ wrapper for _Matlab_, then _PyKat_ does pretty much the same job, but is much nicer to use.\n",
    "\n",
    "_PyKat_ nicely integrates into _IPython Notebook_, which gives the possibility to have code and documentation together in one single document (similar to _Mathematica_) -- it can even create nicely formatted LaTeX output. In fact, this tutorial is an _IPython Notebook_ as well!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Installation\n",
    "\n",
    "### Finesse\n",
    "\n",
    "Of course, we need _Finesse_, which you should [download and install](http://www.gwoptics.org/finesse/)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Python\n",
    "\n",
    "Unless you already have your own _Python_ environment (if you have no idea what I'm talking about, then you don't have one...), then the recommended way is to use a pre-packaged scientific Python distribution, e.g. [_Anaconda_](http://www.continuum.io). It is available for both Windows and MacOSX. At the time of writing, versions for _Python 2.7_ and _Python 3.5_ were available, choose 3.5 (or higher). Download, install."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### PyKat\n",
    "\n",
    "Follow the [installation instructions for PyKat](https://pypi.python.org/pypi/PyKat). At the time of writing, it was as simple as opening a command line window and then typing\n",
    "\n",
    "```\n",
    "pip install pykat\n",
    "```\n",
    "\n",
    "**TODO**: maybe one has to set up environment variables as well."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## IPython Notebook\n",
    "\n",
    " _Anaconda_ comes with _IPython_, so let's run it now. In a command line window, type:\n",
    "\n",
    "```\n",
    "ipython notebook\n",
    "```\n",
    "\n",
    "This should open up a browser window, and you will see a list of files in the current directory. Navigate to wherever you want to work, then create a new notebook by clicking _New_ - _Python_ in the top-right corner. You will then see an empty document, with a single cell. You can directly start to type things in there, and then press `<shift>`-`<enter>` to execute:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "1+2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Simple arithmetic works as expected (`+`, `-`, `*`, `/`), powers are written using a double asterisk (``2**4``). You can however use the full functionality of Python in there, like defining functions:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "20"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def multiply_by_2(number):\n",
    "    return number*2\n",
    "\n",
    "multiply_by_2(10)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "_IPython_ automatically prints the result of the last line. If you don't need that result, just add a semicolon to the end of that line:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "multiply_by_2(10);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "See? Silent.\n",
    "\n",
    "Things get even better when we switch on _pylab_, which is a _Matlab_-like package (the second line here is not strictly necessary, but it gives nicer plots on Macs with high-resolution displays):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/local/lib/python2.7/site-packages/matplotlib/font_manager.py:273: UserWarning: Matplotlib is building the font cache using fc-list. This may take a moment.\n",
      "  warnings.warn('Matplotlib is building the font cache using fc-list. This may take a moment.')\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    }
   ],
   "source": [
    "%pylab inline\n",
    "%config InlineBackend.figure_format = 'retina'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now watch this:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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+GgTBqUL9N9RX+ETNqn/00PoDfFgQZMI/K//RMmWK5Jy0eLF0/LjvagDERanv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\n5gAAAAlJREFUIlIm/gVnaYbmlGZT5wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x113364250>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 255,
       "width": 383
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = linspace(0, 4*pi, 100)\n",
    "y = sin(x)\n",
    "plot(x, y);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Again, I used a semicolon here to suppress the output of the last line, otherwise you'd get the result of the plot command which is some array containing all the elements of the plot. Not very helpful right now. The plot itself is displayed nevertheless."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## First steps with PyKat\n",
    "\n",
    "Let's start using _PyKat_. First of all, we need to `import` it:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                                              ..-\n",
      "    PyKat 1.0.7           _                  '(\n",
      "                          \\`.|\\.__...-\"\"\"\"-_.\" )\n",
      "       ..+-----.._        /  ' `            .-'\n",
      "   . '            `:      7/* _/._\\    \\   (\n",
      "  (        '::;;+;;:      `-\"' =\" /,`\"\" `) /\n",
      "  L.        \\`:::a:f            c_/     n_'\n",
      "  ..`--...___`.  .    ,  \n",
      "   `^-....____:   +.      www.gwoptics.org/pykat\n",
      "\n"
     ]
    }
   ],
   "source": [
    "from pykat import finesse"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If you get any error messages at this step, _PyKat_ isn't installed and/or setup correctly. Ask for help.\n",
    "\n",
    "Let's start with a very simple cavity, consisting of two mirrors `ITM` and `ETM`, and we look at the transmitted light while scanning the cavity across a resonance. If you know _Finesse_ already, then you can just use the standard _Finesse_ syntax:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "finesse_code = \"\"\"\n",
    "l l1 1.0 0 nin\n",
    "s s1 1.0 nin nITM_in\n",
    "m2 ITM 0.95 0 0 nITM_in nITM_out\n",
    "s s2 1.0 nITM_out nETM_in\n",
    "m2 ETM 0.95 0 0 nETM_in nETM_out\n",
    "s s3 1.0 nETM_out nout\n",
    "\n",
    "pd PDtrans nout\n",
    "xaxis ETM phi lin -200 200 400\n",
    "yaxis lin abs\n",
    "\"\"\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The `\"\"\"` are a special _Python_ syntax for reading in a string consisting of multiple lines. In the next step, we need to create a new _PyKat_ object, and read in the code:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "kat = finesse.kat()\n",
    "kat.verbose = False\n",
    "kat.parseKatCode(finesse_code)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You can also read in code from a `.kat` file that you have already created, by using the command\n",
    "\n",
    "```python\n",
    "kat.loadKatFile('/path/to/finesse_file.kat')\n",
    "```\n",
    "\n",
    "Let's run this simulation, and use the built-in `plot` command to display the output."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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JgQDgIycBwEdOJsOhfRlDDwIA+MhJAPCRk8lQSGUMDR8AfOQkAPjIyWTqddW+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\n4QTp7bdbtz4A8Oc/x5xctEiaNEn66U9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e1neTJpKZn6vGPSyvrsOLM/No4AxKV8lTh1tD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\nhPTsTiUbKc4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x114b2a9d0>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 260,
       "width": 425
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "result = kat.run()\n",
    "result.plot();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Simple! We can also manually plot the result, like this:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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5lff7gekppafK3J8KNm5JuTFISMqJfa36ShuRiIhXA4uBG4AvAWfXLH4F8OeI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\nDwrlMB3iI73cAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x114b796d0>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 270,
       "width": 393
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(result.x, result['PDtrans'])\n",
    "xlabel('ETM phase')\n",
    "ylabel('Transmitted Power (W)')\n",
    "legend(['PDtrans']);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "So far, we didn't do anything that _Finesse_ can't do on its own. _PyKat_ comes in really handy once you want to run the same simulation with different parameters. For example, we can redo the same plot for different mirror reflectivies. We first define a list of reflectivities that we want to use. Then we iterate over this list, updating the reflectivities of `ETM` and `ITM` (and adjusting the transmissivities accordingly). All plot commands from one cell are automatically accumulated into one single plot, so we can just plot each result individually. Note at this point that _Python_ is very strict about good code layout. You _have_ to indent everything inside a loop by either using `<tab>`s or `<space>`s."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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4wrTwW+/ZXoGEiFxMW7Y4wUSPHpDoPN/wXpeanXd7t4t1hfmt69YNWraEnBz1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tOF6ZmOhl6iYChh1j3cxBtDfVxu/k1Zw5sUJRh/WFMtQwSg1KfBmRe1UnMn/z0NHibgl1lNXA5e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\nKhIiIiIiIpLa/weYB64eTswGFgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x114af1750>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 270,
       "width": 393
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "reflectivities = [0.5, 0.75, 0.9, 0.98]\n",
    "for R in reflectivities:\n",
    "    kat.ETM.R = R\n",
    "    kat.ETM.T = 1-R\n",
    "    kat.ITM.R = R\n",
    "    kat.ITM.T = 1-R\n",
    "    result = kat.run()\n",
    "    plot(result.x, result['PDtrans'],\n",
    "         label='R={:.0f}%'.format(R*100))\n",
    "\n",
    "xlabel('ETM phase')\n",
    "ylabel('Transmitted Power (W)')\n",
    "legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Just a few lines of code, and done! The `legend` uses some fancy formatting, which is beyond the scope of this tutorial, but you can read up about it [here](https://docs.python.org/3.4/library/string.html#format-examples). "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Quantum-noise simulations"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Since version 2.0, _Finesse_ is able to calculate quantum noise, including radiation pressure noise. Even better, since 2.1 there's also a balanced homodyne detector available.\n",
    "\n",
    "Let's try this out by creating the famous plots of a Michelson interferometer, where one sees that increasing the laser power decreases the shot-noise contribution at high frequencies, but increases the radiation-pressure noise contribution at low frequencies. We therefore need a simple Michelson interferometer, just two mirrors and a beam splitter:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "finesse_code = \"\"\"\n",
    "l l1 100e3 0 nin\n",
    "s s1 1.0 nin nBS_in\n",
    "\n",
    "# main beam splitter\n",
    "bs2 BS 0.5 0 0 45 nBS_in nBS_n nBS_e nBS_out\n",
    "\n",
    "# north arm\n",
    "s sN 1e3 nBS_n n_ETMn\n",
    "m2 ETMn 1.0 0 0 n_ETMn dump\n",
    "attr ETMn m 10\n",
    "\n",
    "# east arm\n",
    "s sE 1e3 nBS_e nETMe\n",
    "m2 ETMe 1.0 0 90 nETMe dump\n",
    "attr ETMe m 10\n",
    "\n",
    "s s3 1.0 nBS_out nout\n",
    "\n",
    "# differential signal\n",
    "fsig fGW1 ETMn 1 0 0.5\n",
    "fsig fGW2 ETMe 1 180 0.5\n",
    "\n",
    "# sensitivity detector\n",
    "qnoisedS PDsens 1 $fs nout\n",
    "scale meter PDsens\n",
    "\n",
    "xaxis fGW1 f log 0.1 1e3 400\n",
    "yaxis log abs\n",
    "\"\"\"\n",
    "kat = finesse.kat()\n",
    "kat.verbose = False\n",
    "kat.parseKatCode(finesse_code)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "New(ish) commands that were introduced for the quantum-noise calculation are the two `attr` lines, which set the mass of the ETMs to 10kg. We apply a differential signal to the end mirrors using the `fsig` command, with half the amplitude each. Then comes the `qnoised` detector. `qnoised` by itself detects only the quantum noise, while `qnoisedS` gives the shot-noise limited sensitivity by internally dividing the noise by the signal at that node. We need to give it a demodulation frequency at which we want to know the noise, here we set it to `$fs` so that it always looks at the frequency where we inject the signal. Using the `scale` command, we can get the output in ${\\rm m}/\\sqrt{\\rm Hz}$. Finally, in the `xaxis` command we tell _Finesse_ to sweep the signal frequency from 0.1 Hz to 1 kHz.\n",
    "\n",
    "Let's run this, for different laser powers:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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P7du3A05rjBSNCphQU7IkfPopNG0Kv/0GbdrA7t1upxIREREJKuPGjaN27dqkpqaSkpLC\n448/DsC6desYNGgQgwYNolGjRqxevbrA99y1axfz5s3DGEPjxo19FT3kaRrlUFSqFMydCy1bwrff\nQrt28NlnUL6828lERETEBeaZwBh8nc2ODIyxFGezZ88ennrqKR566CEiIyPZvHkzAFFRUQwbNox+\n/frx0EMP5bs2DMCBAwdYvXo1jzzyCIcPH8YYw+DBg339FkKWCphQFR8PixZB8+bw/ffQsSOkpEBc\nnNvJRERERALemDFjznq8atWqfPrpp16P16hRw2OfMYbIyEhGjRpVoJnQJG8qYEJZYqJTtDRtCl99\nBd27Oy0zMTFuJxMRERE/CoYWj1CTmJiYs5BldHQ0FStWpHHjxtx11100bNjQ5XTBzQTKdGhSdMYY\nC57zjef45Rdo1swZC9O9O0ybBlGqXUVERIJB9hTA+s5WfLZt20bNmjUxxrBhwwbq1q1bLPddvnw5\nLVu2xBjD1q1bqVq1arHc15cK+/nKdb5r/RI1iD8cXHQRLF4M5crBzJlw112Qmel2KhEREZGQpYLT\nd1TAhIsGDWDBAihdGiZOhIceAv2LJSIiIiJBRgVMOGnSxGmBKVkSXnsNRo50O5GIiIiISKGogAk3\nbdrA1KnOopfPPQfjxrmdSERERMTn9u7dm7Pt27cvZ/+BAwdOO6auX4FPI7nDUffu8P770L8/PPqo\nM+Xy3Xe7nUpERETEZxITEz32WWtp0qTJafu2bt1KtWrV/BVLikAtMOHq9tudbmQAgwbBJ5+4m0dE\nRETEh4wx+W4FWZSyoM8R39E0yiEg32mUz2bUKHjqKWda5VmznAUvRUREJGBoGmXxJU2jLHkyxjQz\nxswyxvxmjMk0xvTP45yRWcdybzt9Hm74cKcb2alT0LMnrFjh80eKiIiIiBSVChj/iAN+AB4E0s5y\n3kagElA5a7vc58mMgRdecMbAHD8OnTvDmjU+f6yIiIiISFGogPEDa+0Ca+1T1trpwNna505Za/+0\n1v6Rte31S0Bj4M03oXdvOHwYOnSADRv88mgRERERkcJQARNYahljfjfG/GqM+dgYU9NvT46MhEmT\n4MYbYc8eaNsWtm712+NFRERERApCBUzg+AoYCLQH7sbpQvaFMaa83xKULAnJydCsGfz+u7NmzK5d\nfnu8iIiIiEh+wqqAMcb0NMa8aoxZYYw5mDVQfmI+11QxxryX1TJy3BizxRjzsjGmXB7n9jXGHM7a\nDhljri9oNmvtImttsrX2R2vtUqATzj+fAYV+o+eiVCmYOxcaNYLNm6FdO8i12JOIiIiIiJvCbSHL\np4AGwBHgN6De2U42xtQCvgQSgJnAz8A1wBCgvTHmemvt/lyXzMJpScn2e1GDWmvTjDE/ARcV9R5F\nVrYsLFwIzZvDjz863cpSU6FMGb9HERERERHJLaxaYICHgLrW2njgfiC/+avH4xQvg621Pa21w621\nbYCXcYqfUblPttYetdb+mms7UdSgxpiYrGe404crIQFSUqBGDVi9Grp3d2YpExERERFxUVgVMNba\n5dbazQU5N6v1pS2w1Vr7xhmHRwJHgduNMbEFuFdpY0xDY8wVOL/zall/rprrnBeNMc2NMTWMMY2B\nZKAU8EHB3p0PVKniFDGVK8PSpXDrrZCe7locEREREZGwKmAKqWXWz8VnHrDWHgE+xykwmhTgXlcD\n3wJrgBjgGWBt1s9sFwKTcdaCSQaOAU2stTuKmL941KkDixdD+fIwaxbceSdkZroaSURERETCV7iN\ngSmMi3HWbNnk5fgvOC00dYFlZ7uRtXY5+RSL1to+RcjoH5dfDgsWQOvW8OGHEB8Pr73mrB8jIiIi\nIuJHaoHxLj7r50Evx7P3e8xG5hZjjNctKSnp3G7euDHMng3R0fCvf8HTTxdLZhEREREJLElJSV6/\nUwYCFTAhxFrrdTvnAgagVSv45BNn0ctRo+DFF8/9niIiIiISUJKSkrx+pwwEKmC8y25hifdyPHv/\nAT9kCRxdu8IHHzjdx4YOhbffdjuRiIiIiIQRFTDe/YwzzXJdL8ez12fxNkYmdPXrB6+/7ry+916Y\nMsXdPCIiIiISNlTAeJc9ML/dmQeMMXHA9UAapy9c6apiHfOSn/vvh9GjwVq4/XaYN8+3zxMRERER\nV+QeExMITKD0ZfM3Y0wLnCLlQ2ttfy/nLMSZaWyItfb1XPv/gbMo5nhr7QP+yHs2xhgL+L9forUw\nbBi88ALExMDChdCihX8ziIiIhLjsL43h+p1NfKuwn69c57tWzYRVC4wxppsx5n1jzPvAsKzd12Xv\nM8acOSr9fuAP4BVjzAxjzGhjzFKc4mUj8JT/0gcgY2DsWBg0CI4fhy5d4Jtv3E4lIiIicpojR44w\nZ84cRowYQceOHUlMTCQiIoKIiAg2bcp/NEB6ejovvPACV155JWXKlKF8+fJcd911vPPOOwV6/rZt\n24iIiGDFihVnPS87U+6tZMmSVKpUibZt2/Lee++RqfX4wqsFxhgzEhhxllO2Wmtrn3FNFeBZoANw\nHrALmA48a631NsWyX7nWApMtIwNuu80ZC3PeebBiBVx6qTtZREREQoxaYM7drFmz6NGjB3D679MY\nw4YNG6hb19uQZzh8+DAtW7Zk7dq1GGMoVaoUp06d4uTJk1hr6dKlCzNmzCAiwnu7wLZt26hVqxbL\nli2jefPmXs+LiIjAGEPZsmWJjY0F4NixYxw6dCgnc7NmzVi0aBExMTGF/j3kRS0wAc5a+4y1NvIs\nW+08rvndWnuXtbaKtTbGWlvTWvtIoBQvufl1DExukZEwcSJ06gR790LbtrBli/+eLyIiIpKPSpUq\n0alTJ0aOHMnbhZhF9e6772bt2rWcd955zJ07l8OHD5OWlsaECROIiYlh7ty5jBw58rRrZs6cyT33\n3MO+ffty9uUuENLS0hg2bBivvfZans985ZVX2LlzJzt37mT//v38/vvv3H333QCsWrWK4cOHF+at\nnzONgZFi53oLTLZjx+DGG2H5cqhVC1auhAsucDeTiIhIkFMLzLnLbm3Jtm3bNmrWrJlvC8x3333H\nVVddhTGG2bNn06lTp9OOv/rqqzz00EOUKlWKrVu3kpCQAMD8+fMZMmQIBw8eZMyYMbRq1YratWvz\n2WefsWfPHh5++GFOnjzJmDFjGDhwYM79sltg3n//ffr39xyi3aZNG5YuXUpcXBz79+8nMjLynH83\naoGR8BYbC7Nnw9VXw6+/Qrt2TouMiIiIiIuK2nIwefJkAC6++GKP4gVg0KBBxMfHc+zYMaZPn56z\nv2PHjmzYsIGnn36a4cOH06lTJ4wx3Hvvvdxxxx3cddddbN68+bTipSD69OkDwNGjR/n555+L9J5C\ngQoYKV5ly8KCBc4YmJ9+clpkDh92O5WIiIhIoS1btgxjDO3aeayqAUBMTAzNmjUDYOnSpacdi4qK\nYvDgwaxdu5a0tDSstezevZvPP/+cESNGUKpUqULnqVKlSs7r7HEx4UgFjBS/hARYvBhq1oT//Ae6\ndnW6l4mIiIgEkY0bNwJQv359r+dceumlWGtZv379aftPnTrF66+/zlVXXUXp0qUxxlC5cmWuu+46\nnnvuOdLS0gqdZ/v27Tmvy5UrV+jrQ4UKGPGNKlUgNRXOPx8++wxuuQXS091OJSIiIlIghw4d4ujR\nowBccJYxvdnHdu3albNv0aJFXHrppTz77LOMGTOGefPmYa1l/PjxfPDBB7z77rvUqVOHSZMmFTiP\ntZb33nsPgPj4eC6++OKivK2QoAImhLg2C5k3tWo5LTEVKsCcOTBwIGjuchEREf8zJrC2IJBdvAA5\nUxrnJbsr2JEjR3L2paWl0aJFCzZt2sSdd9552hicHj16sHHjRgYMGMD+/fvzzXH8+HG+/fZbunfv\nzurVqzHG8MADD/h1RjDNQibFLnsWspOnTlIisoTbcTytXg2tW8ORI3DfffCvfwXNX14iIiJuK5ZZ\nyALtv7suf/8syCxku3btokqVKhhjSElJoVWrVnne691332XQoEFER0dzzEuX+eznffbZZwVaB8bb\nP2tjDN26deOTTz4hKiqqAO80f8E4C1nxvHMJCANmDmBSj0lERpz7lHrF6pprnBaYDh1g/HgoVw5G\nj3Y7lYiISPjQ/7AutNKlS+e89laYADljWeLi4s56v8K0XsTHx+e0+kRFRVG+fHkaNGjALbfcQufO\nnQt8n1ClAiaEfPzjx8RHx/NGpzcCpokvxw03QHIy9OgBY8ZAfDw8/rjbqURERETyVLZsWUqXLk1a\nWho7d+70el72sfPPP9/rOdWrVycjI6PAz37llVfyXAdGHBoDE0KiI6N5c82bDF/i39VZC6xzZ5g4\n0WnGHjYM3nzT7UQiIiIiXl1yySUA/PTTT17PWb9+PcYYLr30Un/FCnsqYEJIcu9koiKiGPv5WMau\nGut2nLz16QNvvOG8vv9+yFogSkRERCTQtGzZEmstKSkpeR4/ceIEK1euBKB169b+jBbWVMCEkC4X\nd+HUiFOQBE889QTj/zPe7Uh5u/deGDvW6Y/bv78zPkZEREQkwGSvfL9x40bmz5/vcfztt9/m4MGD\nxMbG0qNHD3/H85tAm4VMBUwIsdZireXN/7wJLeGB+Q/w0fcfuR0rb48/7nQjy8iAm2921ooRERER\n8ZG9e/fmbPv27cvZf+DAgdOO5Z6N64orrqB3795YaxkwYAALFiwAIDMzk4kTJzJs2DCMMfztb38j\nISHB7+/JX5KSknK+ZwYCTaMcArKnUc79z/KFz1/g8dTHiTSRzLhlBl0u7uJaPq+sdbqRvfkmxMXB\n0qXwf//ndioREZGAUizTKAsREQX7//Zbt26lWrVqOX8+fPgwrVu3Zs2aNVhrKVWqFBkZGZw4cQJj\nDF26dGH69OkFvn9+GY0xvP/++34bxB+M0yirBSZEDb1+KE80fYIMm8HN025m2ZZlbkfyZIyzJkzf\nvs4aMR06wFkGyYmIiIgUVe4Fv71teRUhZcqU4YsvvmDs2LFcccUVREREEBMTw7XXXsvbb7/NzJkz\ni6V4yZ1Tzk4tMCEgrxaY7D8/MP8Bxn8znriScSzpv4RrqlzjSsazSk+Hnj2dsTDnnw+rVkGtWm6n\nEhERCQhqgRFfCsYWGBUwIcBbAQOQaTPpP6M/H/3wEeVjyrPijhVcVvEyv2fM1/Hj0LEjLFsGNWvC\nypVQpYrbqURERFynAkZ8KRgLGHUhC3ERJoL3u71P14u7sv/4ftpOasvmfZvdjuUpJgZmzXLGwGzZ\nAu3awZ49bqcSERERkQCjAiaE5O7DmZSUlLO/RGQJpvaaSssaLfnfkf/RZlIbfj/0u3tBvSlTBhYs\ngPr1Yf16uPFGOHTI7VQiIiIiYS3QplFWF7IQcLYuZLkdPnGYNpPasPr31VyScAkr7lhBQqkAnPJv\n505o1gx+/RVatHCKmthYt1OJiIi4Ql3IxJfUhUwCWpnoMizot4DLKl7Ghj0b6PBhBw6dCMAWjgsu\ngNRU5+fy5c46MenpbqcSERERkQCgAibMVIitwOLbFlO7fG3W7FpDl4+7kJae5nYsTzVrQkoKnHce\nzJsH/fs7i16KiIiISFhTAROGzi9zPqn9U6lSpgortq2g1ye9OJlx0u1Yni69FBYudMbGTJkCDzzg\nLH4pIiIiImFLBUyYqlGuBim3p3Be7Hks+O8C+s/oT0ZmALZwXH21sz5MTAy89RYMG6YiRkRERCSM\nqYAJY5ckXsKi2xZRpmQZpv40lfvm3ReYAwRbtIDkZIiKghdegLFj3U4kIiIiIi5RARPmGl3QiLl9\n5xITFcM7a99haMrQwCxiOnWCSZPAGBg+HN54w+1EIiIiIuICFTAhxNs6MPlpXr05n/b+lKiIKF76\n8iVGrxztu5Dn4tZb4c03ndcPPAAffuhuHhEREZEwoHVgpNgVdB2Y/Hzy0yfcmnwrFstrN77GX6/5\na7HkK3YvvghDh0JkJEyfDl27up1IRETEZ7QOjPhSMK4DowImBBRXAQPw7tp3uWfOPQB80P0D+jfs\nf8739Iknn4TRoyE6GubPh1at3E4kIiLiE4Hyf70ltKmAyetBxlwPtAOaA7WAxKxDfwK/AsuBFGvt\n534JFEJYQa3BAAAgAElEQVSKs4ABGPfFOB5NeZRIE0ly72S61+teLPctVtbC4MHwr39B6dKwZAk0\nbux2KhERkWKnAkb8QQVM9s2NiQHuA/4CXARkv9F0YB/OGJzyQFTWfgv8ArwJvGmtPe6zcCGkuAsY\ngKeXPs3fV/6dkpElmd93Pq1rtS62exebzEwYMMAZC1O+PCxfDpdf7nYqERERkZAV0gWMMWYg8BxQ\nBdgKfAKsAlZba/8449yKwDVAU+BmoCbwO/CUtfYDnwQMIb4oYKy1DFk4hNdWv0bpEqVJuT2Fa6te\nW2z3LzanTkGvXjBrFlSuDCtXQp06bqcSERERCUmhXsBkAvOA5621qwp5bTPgceBGa22kL/KFEl8U\nMACZNpM7Zt3BxHUTKRdTjuUDl9OgUoNifUaxOH7cmWZ56VKoXh1WrYILL3Q7lYiIiEjICYkCxhiT\nkVeRYYxpZK1dc473Pud7hANfFTAApzJPcfO0m5m5cSaVSldi5R0ruei8i4r9Oefs8GFo2xa+/hrq\n1YMVKyAxMf/rRERERKTAQqWAybTWaj0ZF/mygAE4ceoEnT/uTOqvqVSLr8aqO1ZRNb6qT551Tvbt\ngxYt4Mcf4aqrnBaZ+Hi3U4mIiIiEjEAoYIqj8NA8zCEuOiqaGbfMoMmFTdh+cDttJ7Xlz6N/uh3L\nU4UKsHgx1K4Na9dCly6QluZ2KhEREREpRmo5kQKJKxnH/L7zaVCpAT/v/Zn2H7bnwPEDbsfydP75\nkJoKVao4A/p79YKTJ91OJSIiIiLFxO8FjDEmr/EyZf2dQwqvfGx5Ft+2mDoV6vDt/76l8+TOpKUH\nYAtHjRqQkgIJCbBgAfTvDxkZbqcSERERkWLgRgvMTmNMtzP2PWyMmWiM+ckY840LmUKCMSZnS0pK\n8skzKsVVIvX2VC4seyGf7/icm6bexMmMAGzhuOQSWLQIypaFqVPh3nudxS9FREREpFCSkpJyvmMG\nAp/NQnaW8w8CccC/gYestWm5jlUH1lprzzunUGHG14P487Jxz0aav9+cP9P+pNelvZjScwqREQE4\n4/XKldCunTPV8iOPwIsvQoD8yyciIiISbEJlEH9hvQHcB/QB1hpjrs4+YK3dBixyIZMUUr2Eeiy6\nbRFlo8uSvD6ZQXMG+bWAKrBmzWD6dIiKgnHjYPRotxOJiIiIyDlwZRC/tfZt4CrgEPC5MWa4+f9t\nUvvcyCSFd+X5VzKv7zxio2J577v3eGTxI4FZxNx4I3z0kdPy8tRT8PrrbicSERERkSJyo4ApB2Ct\n/QW4FngeeAb4zBhTDch0IZMUUdNqTZlxywxKRJTg5a9e5rkVz7kdKW+9e8PbbzuvBw+GiRPdzSMi\nIiIiReLGGJjfgFrW2pO59l0LTALOA7Zaa688p1Bhxo0xMGdKXp/MLcm3kGkz+Wf7fzKkyRDXspzV\nuHHw6KMQGQnJydC9u9uJRERERIJGuI6BuQBYZ4z5hzGmMYC19kugITADaOBCJjlHvS7txTtd3gHg\noUUPMeG7Ce4G8uaRR5xuZBkZcMstsGSJ24lEREREpBD83gJTgPs1sdZ+VVz3CweB0AKT7Z9f/ZOH\nFz1MhIlg2s3TuOmSm9yO5MlaGDIEXnsNSpd21oy59lq3U4mIiIgEvJBvgck9w1ghpBd7EPGbh5o8\nxMgWI8m0mdyafCuLNy92O5InY+Cf/3QWuDx6FDp2hO+/dzuViIiIiBSAr7uQveCnaySAjGwxkiGN\nh5CemU6PqT34fPvnbkfyFBEB//63MwbmwAFnrZhffnE7lYiIiIjkw6ddyIwxB4BeQEGXao8BPrHW\nljunUGEmkLqQZcu0mdw9+27e/+594qPj+WzgZ1xR+Qq3Y3k6cQI6d4bUVKhWDVatgqpV3U4lIiIi\nEpACoQuZrwuYTKDQDyjOMTXhIBALGIBTmae4NflWPt3wKYmlEll15yrqnlfX7ViejhyBtm3hq6/g\n4oth5UpITHQ7lYiIiEjACYcCJgOYCpw441ArYGkel5QCeqmAKZxALWAATpw6QdcpXVm8eTFVy1Zl\n1Z2rqBZfze1YnvbvhxYt4Icf4MorYdkyiI93O5WIiIhIQAmHAuY/1tr/y2P/DGttDy/XrLXWXnVO\nocJMdgHz88+WugHYwHH05FHafdiOL3Z8Qd3z6rJi4AoqxVVyO5an//0PmjWD//4XmjaFRYugVCm3\nU4mIiIgEjEAoYHw9iH+Gl/1nq5qSfREkHLRpA9u3u53CU+mSpZnXdx5XVL6CTXs30f7D9uw/tt/t\nWJ4qV3bGwlx4oTMWpmdPOFnQ4VsiIiIi4g8+LWCstaP9cY04duwwVK9uMMaQlJTkdpzTlIspx6Lb\nFlH3vLqs272OTpM7cfTkUbdjeape3VkXJjERFi6E225zFr0UERERCVNJSUkYY3JaX9zm6y5kd1pr\n38tj/3RrbZ4rHHq7RrzL7kLWsKFl3Tpo2BA++wzKBeBcbjsO7qDp+03ZfnA7bWu1ZU6fOURHRbsd\ny9O338INN8ChQ3DnnfDuu876MSIiIiJhLBy6kN1VhGvuKfYUYWLRIrjoIli3Djp1ctZoDDRV46uS\ncnsKFUtXJOXXFPpO78upzFNux/J05ZUwbx7ExsJ778Ejj0AATpIgIiIiEm583QJzEngeSD/j0K3A\nlDwuiQUesdaWPKdQYSb3LGTbtzvjz3fscGYGnjMHogOwgWPd/9bRYkILDp44yMArBvLvrv8mwvi6\nni6ChQuha1dIT4dnn4Wnn3Y7kYiIiIhrAqEFxl/rwBTmDVpNo1w4Z06jvGmTU8T8+SfcdBNMnQpR\nUa5GzNMXO76g7aS2pKWn8eA1D/LPDv8MmL6Vp5k2DW69FTIz4ZVX4MEH3U4kIiIi4opwKGDSgIfw\nXAfGm1hgnLW29DmFCjN5rQPz3XfOEI6DB2HAAKcXVEQANnCkbE6h88edOZlxkhHNR/BMy2fcjpS3\n996Du7J6RE6Y4PxSRURERMJMOBQwK621zQp5vxXW2ubnFCrMeFvI8osvnG5kaWkweLDTeBCIDRwz\nNsyg17ReZNpMxrUbx9+u/ZvbkfL28svwt785leC0aU7zloiIiEgYCYQCxtf/T/4lP10jebjuOpg5\nE0qWhNdegwCbWTlHj0t68F5XZ+K5RxY/wr/X/tvlRF48/DCMGOF0JevTx5luWURERET8yqctMOIf\n3lpgsk2fDjff7HzvHjfOaUQIRK9+/SpDFg4hwkQwpecUbq5/s9uRPFnrFDKvvAKlSjlFzHXXuZ1K\nRERExC/CoQVGAsBNNzlDOMCZDfjdd93N482DjR/k2RueJdNm0m96Pxb+d6HbkTwZA//4Bwwc6PTN\n69jRmbdaRERERPyiOFpgMoFoa+2ZUyWLn+TXApPt1VdhyBDnO/iUKdC7t1/iFYq1lsdSHmPcl+OI\njYpl0W2LaFa9UMOo/OPUKbjlFqd5q2JFWLkS6tZ1O5WIiIiIT4VKC8w1wExjzGPGmLhiuJ/4yIMP\nOkuZWAu33QYLFridyJMxhhfbvshdV97FsVPH6PxxZ9buWut2LE9RUTB5sjNLwh9/QJs2sH2726lE\nREREQt45t8Dk3MiY9sD9wDrgFWvt3mK5seSroC0wzjnw6KNOL6iYGFi0CJoH4JxvGZkZ9Pm0D9PW\nTyOhVAIr71hJvYR6bsfydPQotGvnTPlWt67TElOxotupRERERHwiEFpgiq2AybmhMdfhrP3yO86a\nLr8V6wPEQ2EKGOc8uOce+Pe/oUwZWLYMGjXyacQiOZlxkm5TurHwvwupUqYKq+5cRY1yNdyO5enA\nAWfRnXXr4IornF9ouXJupxIREREpdiFZwOTc2JgGwCM4i1i+ZK3d5JMHSaELGICMDGcm4GnTICEB\nVqyASy7xWcQiS0tPo8OHHVi5fSV1KtRh5R0rqRxX2e1YnnbvdpqyNm2C6693mrZKaz1WERERCS0h\nXcDkPMCY2sBjQBxOi8y3Pn1gGCpKAQNw8iR07+6MhbngAli1CmrW9EnEc3Lw+EFaTWzF2l1ruazi\nZSwfuJwKsRXcjuVp+3Zo2hR27HC6lc2eDdHRbqcSERERKTaBUMD4fBpla+1ma+29wFCgnzEm2RjT\nwtfPDSTGmGbGmFnGmN+MMZnGmP5ezqtsjJlgjPnDGHPMGPOjMcZnU3CVLAnJydCsGezc6YxH37XL\nV08ruviYeBb2W0i9hHr8+MePdPyoI0dOHnE7lqdq1SA1FRITYfFi6NfPma1MRERERIqN39aBsdbu\ntNY+CtwDtDTGzDHGdPbX810WB/wAPAik5XWCMSYe+BywwI1APWAw8Icvg5UqBXPmwFVXwebNTsPB\nvn2+fGLRJJZOJOX2FKrHV+fr37+m+5TuHD913O1YnurWdYqX+Hj49FNnsFFmptupREREREKGz7uQ\neX2wMaWBe4E2wERginUrjB8ZYw4DD1hrJ56xfzTQzFpb6BaXonYhy23PHmcIx4YNcM01TkNCmTJF\nvp3P/Hfff2n6XlN2H91Nt4u7kdw7maiIKLdjefr8c6caTEtzFt95+WVnAR4RERGRIBYWXci8sdYe\ntdaOA7oBZYCFxph7jDEl3crksm7A18aYKcaY3caYb40xD/jr4QkJkJICNWrA6tXQrRscD8AGjjoV\n6pByewrlY8oz6+dZ3DnrTjJtALZwXH89zJgBJUrAK684C/CIiIiIyDlzrYDJZq09CaQCG4E3gR/d\nTeSaWjjr6GwG2gH/BMYaY+73V4AqVZwipnJlZybg3r0hPd1fTy+4yytdzvx+8yldojSTvp/Egwse\nPKfWJ59p1w4+/hgiIiApCf75T7cTiYiIiAQ9VwsYY0w7Y8wcYBPQA3gauM6Hz+tpjHnVGLPCGHMw\na0D9xHyuqWKMec8Y87sx5rgxZosx5mVjjMdCH8aYvsaYw1nbIWPM9YWIFwGssdY+aa1dZ639AHgV\n8FsrDECdOk4RU768MzZm4MDAHMLR5MImzO4zm+jIaP71n3/x9LKn3Y6Ut5494d13ndcPPwzvv+9u\nHhEREZEg5/cCxhgTZ4wZbIzZACwEygK3AjWttaOttXt8+PincAqChsBvOAPmz5a1FrAWGAB8BfwD\np4VkCPCFMab8GZfMyrp3Q+AK4JtCZNsFbDhj3wagWiHuUSwuuwwWLoS4OJg8Gf76V2fxy0DTqmYr\npvaaSqSJZNTKUbz4+YtuR8rbHXf8/9aXu+92pn4TERERkSLxWwGTVbi8DvwOjAVWAldYa1tYa5Ot\ntRl+iPEQUNdaG4/TXSu/wUfjgQRgsLW2p7V2uLW2DfAyzixho3KfnDWu59dc24lCZPscuPiMfRcD\n2wpxj2JzzTX/fxmT8eNh+HA3UuSvW71uTOg+AYChqUN5Z8077gbyZsgQeOYZpzmrb19noUsRERER\nKTR/TqN8BCiHM7bjQmvtIGvt9/56flaG5dbazQU5N6v1pS2w1Vr7xhmHRwJHgduNMbEFuFdpY0xD\nY8wVOL/zall/rprrtJeBJsaY4caY2saYm3GmUX69IHl9oWVLmDYNIiNh7FhnC0S3NbiN1290fk1/\nmfsXpvw4xeVEXjz9tNONLD0devRwVg4VERERkULxdxeye4CT1tr9fn5uUbTM+rn4zANZxdjnQCmg\nSQHudTXwLbAGiAGewema9kyue34DdAd646wZ8xzwpLX2zaK/hXPXpQtMnOjMAPzEE/Cmq2m8e+Ca\nBxjVahQWy+0zbmfepnluR/JkDIwbB3feCceOQadO8O23bqcSERERCSp+LWCstcdwuo8Fg4txxshs\n8nL8l6yfdfO7UVbLT4S1NvKM7c4zzltgrb3CWlvKWlvPWvuvc3sLxaNvX3gjqw3q/vudcTGB6Imm\nTzD0uqGcyjxFr2m9WL51uduRPBkDb78NvXrBoUPQvj38/LPbqURERESCht8H8ftprEtxiM/6edDL\n8ez9HrORucUY43VLSko6p3vfe6/Thcxa6N/fmaEs0BhjGNtmLIOuGsTxU8fp8nEXvtlZmHkU/CQy\nEj780Cle/vwT2raF7dvdTiUiIiICQFJSktfvlIHA9XVgpPhYa71u51rAADz+OAwbBhkZcPPNzlox\ngcYYwxud3uDWy27l8MnDdPiwA+v/XO92LE/R0fDpp86Clzt2QJs2sHu326lERERESEpK8vqdMhD4\npIAxxvQwxkw3xtxsjIn2xTP8ILuFJd7L8ez9B/yQJWCMHg333QcnTkDXrvD1124n8hQZEcnE7hPp\ndFEn9h7bS9tJbdmyf4vbsTyVLg1z58IVV8AvvzgtMvuDYXiYiIiIiHt8UsBYa2cATwCX4ayX8oEx\npr0xJphafH7GmWbZ2xiXi7J+ehsjE5KMgddfd8bFHDkCN94IP/7odipPJSJLMO3mabSo3oKdh3fS\nZlIbdh7e6XYsT+XKOVMqX3wxrFvnDOw/csTtVCIiIiIBy2cFhbX2Z2vtSGttI5ypgG8E1hpjXjPG\nXOur5xaj7A5S7c48YIyJA64H0nAWuAwIxTnm5WwiImDCBGeGsv37nSEcmws0ObV/xZaIZXaf2Vx9\nwdX8uv9X2k1qx960vW7H8lSxIqSkQLVq8OWXzhTLJwqzhJCIiIiI7+QeExMIjD/7smW1wLQC+uKs\nVL8A+Mha6/dBCsaYFjhFyofW2v5ezlmIsxbMEGvt67n2/wNnUczx1toH/JH3bIwxFvB7v8Tjx6Fj\nR2csTI0asHIlXHihXyMUyJ60PbSY0IL1f67n/y74P5b0X0KZ6DJux/L0yy/QrJkzFqZHD/jkE4iK\ncjuViIiISI7sIsZa61o149cC5rQHO2NjOgF9gKrAdOBja+0OHz6zG85aKwCVgfbAr8DKrH17rLWP\n5Tq/Fs56LxWB2cAGnHVfbgA2AtcHwpo2bhUwAIcPO+PPV6+GevVgxQpITPR7jHz9fuh3mr3fjC0H\ntnBDjRuY33c+sSXyXYPU/77/Hlq0gAMHYMAAeO89p8lLREREJACEdQFzWghjygI9gVuBksBU4BNr\n7b5ifs5IYMRZTtlqra19xjVVgGeBDsB5wC6cYutZa623KZb9ys0CBmDfPuc7948/wlVXwdKlEO9t\n6gMX/br/V5q+15RdR3bRpW4XPu39KSUiS7gdy9OXXzpVYVoaDB4Mr7ziDD4SERERcZkKmDwYYyrh\nFDI3A/uBj4GZ1to0V4MFMLcLGIBdu5zeT5s3Oz8XLoRSpVyL49VPf/xE8wnN2XdsH30v78ukHpOI\nCMS5JVJSoHNnOHkSRoyAZ55xO5GIiIhIQBQwAffNzVq721r7irW2Kc44k9o4RYzkw1+D+PNy/vmQ\nmgpVqjhjYXr1cr57B5r6FeuzsN9C4krGMfmHyTww74GAmdP8NG3bwpQpTvexZ5+Ff/zD7UQiIiIS\npsJ6EH9BGGMaW2sDcHWRwBUILTDZNmyA5s1hzx7o3RsmT3YWng80n239jA4fduBExgmGXT+MMW3G\nuB0pbx98AAMHOq/ffRfuusvVOCIiIhLe1AKTt1fcDiBFd8klzrImZcs6k2jdey8EQF3l4YYaN5Dc\nO5moiCjGfj6WsavGuh0pbwMGwKuvOq/vucf5pYqIiIiEMb+3wBhjSuEscnk1EH3G4RLAtdZazR1b\nCIHUApNt5Upo186Zavlvf4OXXgrMcegf//Ax/ab3w2IZ32k89159r9uR8vb3v8PTT0OJEjBrlrOC\nqIiIiIifhWsLzHjgXqAszkr3Z24SApo1g+nTne/b//gHjBrldqK89bm8D+M7jQfg/nn3M/mHyS4n\n8uLJJ+GRRyA9HXr2dCpEERERkTDkRgFTHqhsrb3eWtvyjK0poPEvReTmIP683HgjfPSRMw796af/\nf0+oQPOXq//C822ex2LpP6M/c36e43YkT8bAiy86Y2COHXNmKFu71u1UIiIiEgbCfhC/MeZ5a+3j\nZzl+nbX2C39mCnaB2IUst3//G+6+23k9YYIzrCMQDV8ynDGrxhAdGc2CfgtoWbOl25E8ZWRAnz4w\nbRokJDgtMfXquZ1KREREwkS4diE7ZIxJOMvxDn5LIn5x110wbpzz+s47na5lgWhUq1Hcd/V9nMg4\nQdcpXVn9+2q3I3mKjIQPP4QOHZyp3tq0ga1b3U4lIiIi4jdutMDEAEnAOmANcDzX4RJAirW2ll9D\nBblAb4HJNnKks6RJyZIwd66z1EmgybSZ3D7jdib/MJkKsRVYPnA5l1W8zO1YntLSoH17WLUK6tRx\nWmIqV3Y7lYiIiIS4QGiBcaOAaQJMAap6O8daG4ArhwSuYClgrIWHHnLGwpQq5Sw2f911bqfylJ6R\nTq9pvZj982wqx1Vm1R2rqF2httuxPB08CK1aOWNhLr8cPvsMKlRwO5WIiIiEsHAtYL4EVgM/Ameu\n1V4SGGOtPVsXMzlDsBQwAJmZTpeyCRMgPh6WL4eGDd1O5en4qeN0/Kgjy7Yuo0a5Gqy6YxVVylZx\nO5anP/90Vg7duBEaN4bUVIiLczuViIiIhKhAKGDcGAOz2lo7xFr7jrX2gzO2d4AlLmQKCYE2C1le\nIiLgnXfgppucBoR27WDTJrdTeYqJimHWrbO4pso1bD2wlbaT2rInbY/bsTwlJjpNWdWrw9dfQ/fu\nzuI7IiIiIsVEs5AZM8pa++RZjley1u72Z6ZgF0wtMNlOnIAuXZzv3lWrOkM5qlVzO5Wnfcf20WJC\nC37840cand+IpQOWUja6rNuxPP33v9C0KezeDd26QXIyRGk9WBERESle4doCs8wYc8dZjk/zWxJx\nTXQ0zJjhjIHZscMZ0L87AMvWCrEVWHzbYmqVr8WaXWvo8nEXjqUfczuWpzp1nGqwfHmYNcuZ7i0z\n0+1UIiIiIsXOjRaYJ4EmQC3gO+BErsNRQG9rbYxfQwW5YGyByXbgALRsCd9954yFWbbM+Q4eaLbs\n30LT95uy8/BOOl7UkRm3zKBkZEm3Y3n66itnauWjR+Gvf3VmTAiQ5l4REREJfoHQAuNGAfMnEA3s\nzeNwCeB8zUJWOMFcwAD88Qc0a+aMhbn2WqchoXRpt1N5Wv/nepq/35y9x/ZyS/1b+Oimj4iMCMCP\n6pIl0LEjnDwJTz0Fzz3ndiIREREJEYFQwLjRhWwXUMNaWzOP7ULgWxcyiYsqVnQmz6pWDb78Enr0\ncMbIBJpLEy9l0W2LKFOyDFN/msp98+4LzKKxdWv45BNn0cu//x1eesntRCIiIiLFxo0CZoS1dt9Z\njj/rtyQSMKpWdVpeKlZ0fvbpA6dOuZ3KU6MLGjG371xiomJ4Z+07DE0ZGphFTLduzlzVAI895kz9\nJiIiIhIC/F7AWGtn5nN8tr+yhJpgmEb5bOrWhcWLoVw5Z4D/3XcH5jj05tWb82nvT4mKiOKlL19i\nzKoxbkfK2223weuvO6//8heYOtXdPCIiIhKUwmYaZWNMKWttmtv3CAfBPgbmTF9+6YxDT0uDwYPh\nlVcCcxz61B+n0ufTPlgsr934Gn+95q9uR8rb6NHw5JPOtMqzZjnjY0RERESKINTHwGwxxjxmjClV\n2AuNMaWMMY8BW3yQSwLctdfCzJlQsiS89hqMHOl2orzdctktvNX5LQAGLxjMxHUTXU7kxRNPON3I\nTp2Cnj1hxQq3E4mIiIgUmS8LmPnAGOB/xpgPjDEdjTHx3k42xsRnnfMB8L+sa+f5MJ8EsLZtYcoU\nZxz6c8/BuHFuJ8rbPY3u4aW2ziD5O2fdycyNZ+0h6Q5j4Pnn4Z574Phx6NwZ1qxxO5WIiIhIkfh0\nGmVjTEPgOaAjYAAL/Bf4DdiXta8CcCFQO+vPmcBcnMH+P/gsXAgJtS5kuU2cCAMGOK/feccZFxOI\nnl76NH9f+XdKRpZkft/5tK7V2u1InjIyoF8/ZyzMeec5LTGXXup2KhEREQkigdCFzC/rwBhjqgJ3\nAG2Bq3HWgcntBLAaSAEmWGt/83moEBLKBQw43cgefNBpSJgyBXr3djuRJ2stDy54kNf/8zqlS5Qm\ntX8qTS5s4nYsTydPOvNUz58PF1wAq1ZBzZpupxIREZEgETYFzGkPNKYkcAGQiNMiswf43Vqb7tcg\nISTUCxhwljN5+unAHoeeaTMZOHMgk76fRLmYciwfuJwGlRq4HctTWhrceKPTAlO7NqxcCeef73Yq\nERERCQJhWcBI8QuHAsZaGDrUWZMxJgYWLYLmzd1O5elU5ilunnYzMzfOpFLpSqy8YyUXnXeR27E8\nHToErVo5Y2Hq14fly51uZSIiIiJnoQJGikU4FDDgFDGDBsG770KZMrBsGTRq5HYqTydOnaDzx51J\n/TWVavHVWHXHKqrGV3U7lqc9e5wqcMMGuOYaSE11frEiIiIiXgRCAeP3hSzFd4J9Icv8GANvvgm3\n3AKHD0P79rB+vdupPEVHRTPjlhk0ubAJ2w9up+2ktvx59E+3Y3lKSICUFKhRA1avhm7dnFnKRERE\nRHIJm4UsxX/CpQUmW7CMQ99/bD8tJrTghz9+4MrKV7JswDLiY7zOJO6ezZuhaVP43/+ga1dIToYS\nJdxOJSIiIgFILTAiRVCyJEyb5vR+2rnTWTNm1y63U3kqH1uexbcvpk6FOnz7v2/p/HFn0tLT3I7l\nqXZtpyWmfHmYPRvuuAMyM91OJSIiIpInFTASlEqVgjlznDEwmzc7RczevW6n8lQ5rjKpt6dyYdkL\nWbV9FTdNvYmTGSfdjuXpsstg4UKIi4OPPoLBg51BRyIiIiIBRgWMBK2yZZ3v3JdcAj/95EytfPiw\n26k8VS9XnZTbU0gslciizYvoN70fGZkZbsfydM01TgtMdDS88QY8+aTbiUREREQ8+K2AMcZU8tez\nJHwEyzj0egn1WHTbIspGlyV5fTKD5gwKzDFLLVs6/fMiI2HMGHj+ebcTifw/9u47OqpqfeP4dyeE\nFnpHpBcRQbEr0gldRECQbhA7Xtu1N4LK1ev1WrCiV0CKgAiIFCEkdBT92RFFFBAB6YQWStr+/bED\nBodk84sAACAASURBVCYBxMyck8nzWeusaSdzHkYWzpu9371FRESOE8oRmN+NMZONMa1DeE3JB6pU\ncSsAV67sllbu1QtSfbgt6oWVL2R239kUKVCEUd+O4p/x//RnEdOlC4wd65Z9e/hhGDnS60QiIiIi\nx4SygFkD9ATmG2PWGGP+aYzRznmSK2rXhvh4KFPG9cbExvqzD71ptaZMu34aURFRvLTiJZ5Z8ozX\nkbLXty+8/rq7f/vtMHGit3lEREREMoWsgLHWNgKaAuOAKsB/gE3GmAnGGB/uqS55TdY+9PffhyFD\n/NmH3qFOB97v8T4RJoInFz3JKyte8TpS9m6/3U0jsxYGDoRZs7xOJCIiIuLNPjDGmJLAQOAW4DzA\nAj8DI4Gx1tqkkIfKw/LbPjCnsmgRdOgAR464GVDPPut1ouyN+mYUgz8eDMDorqOJbRzrbaCcPPyw\n64UpXBg++QRatvQ6kYiIiHjED/vAeL6RpTGmCXAz0AsoDBwGpgCvWWu/9DJbXqECJtCsWW6zy7Q0\nV8A8/LDXibL38oqXuXfevUSYCKb0nEL3c7t7HSmQtW40ZuRIN7y1YAFceqnXqURERMQDfihg/LCM\n8k4gCVe4GKAQbnTmc2PMR8aYMl6Gy0uMMceOuLg4r+N46uqr/+xDf+QRePNNrxNl754r7mFoi6Fk\n2Ax6f9ib+LXxXkcKZIzrh+nTBw4ccMNbq1Z5nUpERERCJC4u7th3TD/wagpZFNADuBVojitcfgbe\nAt4DLgIeANoDk621fUIeMg/RCEzORo6E225z38HHjYN+/bxOFMhay73z7uWVz1+haFRR5g+YT5Oq\nTbyOFSg1Fbp3d8NblSvDsmVQq5bXqURERCSE/DACE9ICxhhTB9f3EguUBdKBj4E3rLULsjn/Q6CN\ntbZ0yELmQSpgTu755+Ghh9zWJtOnu1WC/SbDZjD448GM+XYMJQuVZFHsIhpXaux1rECHDrkdQxct\ngpo1XRFz1llepxIREZEQ8UMBE8qNLBNxoyz3AynAU0ANa+112RUvmb4CSoQoooSpBx9008jS06Fn\nT9fC4TcRJoJ3urxDj3N7sPfIXtqNa8eaXWu8jhWoSBH4+GPXA7N+PbRtC7t2eZ1KRERE8pGQjcAY\nYzKAhcAbwEfW2vTT+JmGwMXW2veCnS8v0wjMqVkLd94Jb7wB0dGQmAiXX+51qkBH0o5wzaRriF8b\nT9USVVl24zKqlazmdaxAu3ZB8+bw449wySXuAy2h3zWIiIiEOz+MwISygDnHWvtzSC6Wz6iAOT0Z\nGXDDDTB+PJQuDUuWuL1j/CY5JZl249vx6cZPqVe2Hktil1CxWEWvYwX64w9o2tSNxLRo4ZZYLlLE\n61QiIiISRH4oYEK5CtnlxpjzT3aCMaahMWZgqAJJ/hIRAaNGQdeukJTkZj/9+qvXqQJFF4xmdt/Z\nNK7UmDW71tB+fHv2HN7jdaxAZ50FCQmuoX/xYujVyzX6i4iIiARRKAuYMcC1pzinKzA6+FEkv4qK\ngkmToHVr2LoVYmJg0yavUwUqVbgU8/rPo17Zeny37Ts6v9+Z5JRkr2MFqlUL5s+HMmXc6mQ33OCa\njURERESCxA/7wGQVCWgelARV4cLw0UeuB2bDBjcSs2OH16kCVYiuwPwB86laoiqfbvyUbpO7cSTt\niNexAp13HsydC8WLw8SJrtlI0xlFREQkSPxWwNTDbWopElTFi8OcOdCoEaxe7fZm3LvX61SBqpWs\nRsLABFfMrJtP32l9SctI8zpWoEsvhZkzXXX41ltu2TcRERGRIAhqE78xZlSWh7HAt5nHiSKBakAz\nYLa1tmvQQoUhNfGfua1bXR/62rXQrJkbSCha1OtUgb7b+h0txrRg75G9xDaO5d1r3iXC+O33D8Ds\n2XDttZCWBs8+Cw8/7HUiERERyUV+aOIPdgGTkeWhBU72B7XA50B/a+26oIUKQypg/p7ffnNFzObN\n0LGjm15WsKDXqQJ9uvFT2o5ry8HUg9x12V283OHlY/+I+MrEidCvn5tG9sYbcPvtXicSERGRXJIf\nCpjqR+8C64CXgVeyOTUdSLLW+rBL2f9UwPx9q1e7EZidO91mlxMnQmSk16kCzV87n6snXk1KegpP\nNn+SYa2GeR0peyNHwm23gTEwbpwraERERCTPC/sC5rgLGTMUWGitXRKSC+YjKmByx9dfQ6tWsG8f\nDB4M77zjvn/7zbSfptFzSk8ybAb/bfdf7rvyPq8jZe/55+Ghh1wlOH06dOnidSIRERH5m/JVASPB\nowIm9yxbBu3awaFDcN998MIL/ixi3vv2PWJnxALwvy7/Y/BFg70NlJNHH3W9MIUKuY0uW7XyOpGI\niIj8DX4oYHzYBSzinaZNYdo0t1/Miy/CM894nSh7NzS+gVc6uNmYt8y6hSmrpnicKAfDh7semCNH\n4Jpr4IsvvE4kIiIieVzQRmAyVyCzwKPW2m0nrEh2MtZa69NfJ/vT0RGYrIYOHUpcXJwHacLDlCnQ\nuzdkZMArr8Bdd3mdKHtPL36aJxc9SVREFB/3+ZgOdTp4HSlQRgYMHAgTJkDp0rBkCTRs6HUqERER\nOU1xcXEMG3Z8321YTiHLXIHMAudaa9ecsCLZyVhrrQ/bp/1LU8iCY9Qo1wsDMGaM22Teb6y13B9/\nPy+ueJEiBYowr/88mlVv5nWsQKmpcN118PHHUKmSm6tXu7bXqUREROQv8sMUsmAWMEdXINtsrU3L\n8viUrLUbghIqTKmACZ6XX4Z774WICDcq072714kCWWu5eebNvPvNu5QoVIKFNyzkosoXeR0r0OHD\n0KkTLFwINWq4IqZKFa9TiYiIyF8Q1gVMwIWMKWWt3ROSi+UzKmCCKy4Ohg1zfTGzZrkmf79Jz0in\nz9Q+TPlxCuWKlmPpoKXUL1ff61iB9u+HmBjXC3PuuW46WblyXqcSERGR0+SHAiaUTfxbjDGTjTGd\njPHjFuIi2Rs6FO6+282C6tYNPv3U60SBIiMiGd99PB3qdGDnwZ3EjI3htz2/eR0rUPHibjWyhg3h\np5+gQwe3brWIiIjIaQrlCMxPwDm4vpjtwHhgrLV2ZUgChDGNwARfRgbcdBOMHg0lS8KiRdC4sdep\nAh1MPUj78e1Z9vsy6pSpw9JBS6lUrJLXsQJt2eKWfFu3Dpo3h7lzoUgRr1OJiIjIKfhhBCak+8AY\nYy4FYoHrgTK4YuZb4D3gfWvtzpCFCSMqYEIjLc2tTDZ1KpQv71o46tXzOlWgvYf30uq9Vnyz9Rsa\nVWjEothFlClSxutYgdavd0XMH3+43pjp06FgQa9TiYiIyEnkuwLm2EWNiQKuAW4AOgAFgFTgE2CM\ntfajkIfKw1TAhM7R7Uzi46FqVVfEVKvmdapAO5J30HxMc1bvXM3lVS4nYWACxQoW8zpWoB9/dCMw\nu3bB9de7pZYjtQihiIiIX+XbAua4AMaUB/oBA4ALgQxrbQFPQ+UxKmBCKzkZ2reH5cuhbl1YuhQq\nVvQ6VaBN+zbRdFRTNuzdQJuabZjVdxaFCxT2Olagr76CVq1cg//NN8PIkWA8+zdRRERETsIPBYwf\nmul3AquAn3CjMPrmIr4WHe1WI2vcGH75xRUzSUlepwp0domzSRiYQMXoiiSuT6T3h71Jy0jzOlag\niy92H2jhwvDOO/Dgg6BiXERERHLgWQFjjKlvjHkW+B2YC/QFNgBPepVJ5HSVKgXz5sE558B330Hn\nzm5kxm/qlKnD/AHzKV24NDN+nsGNM24kw57unrIh1Ly5ay4qUABeeAGefdbrRCIiIuJToW7iLw30\nwfW+XIIbbdkHfIDrffHhArX+pylk3tm40fWh//47tG0LM2dCoUJepwq0YtMKYsbGkJyazJBLh/Bq\nx1ePDQH7yuTJ0KePG4F57TUYMsTrRCIiIpKFH6aQhXIZ5alAJ6AgbvWxRGAMMN1aezgkIcKUChhv\n/fILNGsG27a5fWI++MANJPhN4rpEOr3fiZT0FB5r9hjPtH7G60jZe+cduOUWd3/cOOjf39s8IiIi\nckx+K2AygJ9xSyaPs9ZuDsmF8wEVMN77/nto0QL27IEbboBRoyDCDx1mJ5ixegY9PuhBuk3n+Zjn\neeCqB7yOlL0XXoAHHnArkk2dCl27ep1IREREyH8FzOXW2s9DcrF8RgWMP6xYATExrhfmH/+AV17x\n52Ja478fz4DpAwB4++q3ufnimz1OlIPHH4fhw93eMHPmQJs2XicSERHJ9/xQwITsd8T5uXgxxjQz\nxswwxmwyxmQYYwZmc876zNdOPGZ6kVn+uiuugI8+ct+3X30Vhg71OlH2+p/fn9c6vgbArbNuZfIP\nkz1OlIOnn4Y774SUFDcCs2KF14lERETEB3w4ySUsFQNWAncBB3M45xKgUpbjIlyvkE+/XUp2YmJc\nH3pkpPv+/d//ep0oe0MuG8Lw1sOxWPpP78+cX+Z4HSmQMW4Ya8AAN6zVsaObqyciIiL5WtCmkBlj\nRuG+gD9qrd2W+fh0WGvt4KCE8gFjzH5giLV27CnOewz4J1DZWnvkFOdqCpnPjBsHAzPH2d55B266\nyds82bHW8lDCQ/zn0/9QuEBh5vabS4saLbyOFSgtDXr2dMNbFSvCsmVQp47XqURERPIlP0whC2YB\nk4ErYM611q7JfHw6rLU2MiihfOAvFDBrgVnW2rtP4z1VwPjQ66+7GVDGwMSJcP31XicKZK3ltlm3\n8fbXb1O8YHEW3LCAS866xOtYgQ4fhquvhsREqF7dFTFnn+11KhERkXwn3AuY6pl3N1tr07I8PiVr\n7YaghPKB0ylgjDHtgE+AC6y1P5zGe6qA8al//Qsee8wtqzxjBnTq5HWiQOkZ6fSf3p9JP0yibJGy\nLBm0hAblG3gdK9CBA26O3uefQ/36sGQJlC/vdSoREZF8xQ8FTNB6YKy1GzKPtBMen/IIViZjTA9j\nzAhjzBJjzN7MJvlTjYRUMcaMMsZsNsYczmy2f8kYUyqbc/saY/ZnHvuMMVedYdSbgf87neJF/O2R\nR9xqwGlp0KOH+87tN5ERkYy9diyd63Zm16FdtB3XlvVJ672OFahYMbcaWaNGsHo1dOgAe/d6nUpE\nRERCLGRN/MaYgcaY809xTqPsVujKRY8DQ4ALgE24KW4ny1ML+Bq4AVgBvAisBe4GPjXGlD7hR2Zk\nvvcFQGPgy78a0BhTHrgGePuv/qz4jzHw73+7fRmPzoL64guvUwWKioxiSs8pNK/enD/2/0HMuBi2\n7N/idaxAZcpAfDzUrg1ffw1dusDBnNbFEBERkXAUylXIxgDXnuKca4DRQcxwD1DPWlsSuAM41dDX\nm0A54B/W2h7W2kettTHAS0B9YHjWk621ydbadVmOkzbf52AQcBiYdAY/Kz5kDLzxBvTtC/v3u4ED\nPy6mVSSqCDP7zOTiyhezLmkdbce1ZdfBXV7HClSpEiQkQJUqsHSpG9pKSfE6lYiIiISI35ZRjuQU\noyJ/h7V2sbV27emcmzn60hb4zVr7xgkvDwWSgQHGmCKn8V7RxpgLjDGNcZ95tczHVbM5fTAw0Vqr\nXyuHkchIGDPGbWeSlARt28KaNV6nClSiUAnm9p9Lg/INWLVjFR0ndGT/kf1exwpUo4YrYsqVg7lz\noX9/SE/3OpWIiIiEgN8KmHpAktchMrXKvI0/8QVr7QFgOVAUuOI03usS4BvgK6AwMAw3NW1Y1pOM\nMS2BOsA7Zxpa/Csqyu0R064dbN/uNpb/7TevUwUqV7Qc8f3jqVmqJv/3x/9xzaRrOJR6yOtYgerX\nh3nzoEQJmDIFbr0VtJCFiIhI2CsQzDfPZu+Xa40xNbI5NRKoBjQDZgcz019wDm40KKffk/+CG6Gp\nByw82RtZaxdzGsWitXYR7rOQMFWoEEyfDu3bu5WA27Rxs6DOOsvrZMerUqIKCQMTaDqqKYt+W8T1\nH17P1F5TiYqM8jra8S66CGbNch/ou+9CyZLwwgtu3p6IiIiEpWCPwMRmOSyusT02m2MA0Bz4Arg3\nyJlOV8nM25yWOTr6fMBqZF4xxuR4xMXFeR1PMhUt6r5zX3IJrFvnppPt2OF1qkC1StcifkA8ZYqU\nYeaamcTOiCXDnu52TiHUrBlMm+aGuF58EYYPP/XPiIiISI7i4uJy/E7pB8EuYGpmHrVwDfMvZ3ku\n61ENKGGtbWKtXRfkTGHLWpvjoQLGX0qWdK0bDRvCjz+6AYQ9e7xOFahhhYZ80u8TihUsxvsr32fI\n7CH+3G+oQweYMAEiIuCJJ+DVV71OJCIikmfFxcXl+J3SD4JawGTZ2+U3XL/HRzns/bLJWpsczCxn\n4OgIS8kcXj/6vA+/dkpeULYszJ8PderAN9+4TS4PHPA6VaDLqlzGzD4zKRRZiLe+eotHEx/1OlL2\nevaEtzNXH7/rLhh70i2eREREJI8KWRO/tXaYtdaH2/jl6GfcqFG9HF6vm3nrw7WkJK+oVAkSE6Fa\nNfjsM7dK2eHDXqcK1LJGSz7s9SEFIgrw3PLneG7Zc15Hyt7gwfDf/7r7gwa5hiMREREJK0ErYDJ3\nr3/XGFMxy+PTOd4NVqa/6GhjfrsTXzDGFAOuAg7iNrj0BfW85E3VqrkiplIlWLAArrvOn9uaXF3v\nasZeOxaD4ZHER3jry7e8jpS9++5z08gyMqB3bzfMJSIiImcsa0+MH5hgzWUzxmTgGvfPtdauyXx8\nOqy1NugrcRljWuCKlPHW2oE5nDMXt9LY3dba17I8/yJuU8w3rbVDgp31VIwxFvDNvEQ5Mz/8AC1b\nwq5d0KsXvP++2z/Gb9768i1un307BsP47uPp26iv15ECWQv33AMjRrhVExIS4MorvU4lIiKS5x0t\nYqy1nlUzwSxgqmfe3WytTcvy+JSstRuClKkrcG3mw0pAe2AdsDTzuZ3W2geynF8Lt99LBeBj4Cfc\nvi8tgdXAVdZaz/etUQETPr76Clq3hn37IDbWrQwc4bfdmoB/L/s3Dyc+TKSJZPr10+lyThevIwXK\nyIAbb4T33oNSpWDRIrjgAq9TiYiI5GlhXcD4kTFmKPDkSU75zVpb+4SfqQI8BXQAygJbgGnAU9ba\nnJZYDikVMOFl+XK32eXBg3DnnW4QwScjtsd5JOERnlv+HIUiC/FJv09oVbPVqX8o1NLS3HDW9OlQ\noYLbfKdu3VP/nIiIiGRLBYzkChUw4SchATp3dr0wDz8Mzz7rdaJA1lqGzBnCm1++SbGCxUgcmMhl\nVS7zOlagI0egSxfXC1Otmitiqlb1OpWIiEie5IcCxvPJKcaYssaYbsaY9sYYH874zzvUxB8+YmLg\nww+hQAF47jn417+8ThTIGMNrnV6jb6O+HEg5QMcJHflh+w9exwpUqJAbgbnySvj9d7dz6PbtXqcS\nERHJM/JNE3/AhYy5HYgFOlprd2c+dzEwFyiTedqXQGsf7gnjaxqBCV+TJkHfvq4n/eWX4e67vU4U\nKDU9lR4f9GDmmplULlaZpYOWUrtM7VP/YKglJblVEr7/Hho3hoULXW+MiIiInLb8NgJzPW6Fsd1Z\nnvsPUBoYDcwBLgVuC2EmEV/r3Rv+9z93/557/rzvJ1GRUXzQ8wNa1WjFlgNbiBkXw+Z9m72OFah0\naYiPdzuHfvstXH01JOt3JSIiInlNKAuYusD3Rx8YY8oBLYB3rbU3WWu7AP8H+HBNVhHv3HgjvPKK\nu3/LLTBxord5slO4QGFm9J7BZVUu47c9v9F2XFt2HtzpdaxAFSu6BqOqVd1qCd27ux4ZERERyTNC\nWcCUBbJOPL8q8zbrVtlLgdNeblkkv7jrLhg+3E0lGzAAZszwOlGg4oWK80m/T2hYoSE/7fyJDuM7\nsO/IPq9jBape3TX0ly/vRmT69XOrlYmIiEieEMoCZjdQLsvjFkAG8GmW5yxQOISZwoqa+MPbo4/C\nI49AerpbGdiPG8yXKVKG+P7x1Cpdi6+2fEWXiV04lHrI61iBzjkH5s2DkiVh6lQ3tJVxunvtioiI\n5C/5uYk/EagPnA+kAz/i9l1pkuWcKcCF1to6IQkVJtTEn39Y6xr5X30VihRx38GbNfM6VaD1Setp\nOropf+z/g051OzH9+ukUjCzodaxAy5e7VckOHXJNRi++6M9Nd0RERHwivzXxvwJUBjYBG4GKwBsn\nnHMF8F0IM4nkKca41cgGDXLfuTt3hs8/9zpVoJqlazJ/wHzKFinLnF/mMHD6QNIz0r2OFeiqq9wS\ny1FR7oN9+mmvE4mIiMgphKyAsdZ+jFthbBXwM3C/tXb80deNMS2BYsC8UGUSyYsiIuCdd9wKZfv3\nQ/v28PXXXqcK1KB8A+b1n0fxgsWZvGoyt8++3Z+jhO3bw/vvuw926NA/V0wQERERXwrZFDIJHk0h\ny59SU10RM20alCnjtjU5/3yvUwVasmEJ7ce353DaYe6/8n6eb/u8b+bQHmfUKBg82N0fPRpiYz2N\nIyIi4kf5bQqZiOSiqCi3pHKXLrB7N8TEwI8/ep0qUPPqzZnaayoFIgrwwmcv8OyyZ72OlL0bb4SX\nXnL3Bw92zf0iIiLiOyEtYIwxLYwxs4wx240xqcaY9GwOrWd6hrQKWf5TsCBMmeJmQe3YAW3awJo1\nXqcK1KluJ8Z3G4/B8NiCx3j9i9e9jpS9e+6BuDi3IlmfPm6VBBERkXwuP69C1hn4CIgEfsc18mdb\nrFhrW4UkVJjQFDI52tC/cCFUqQJLlkCtWl6nCvTOV+9wy6xbABh77VgGXDDA40TZsBbuu8819Rcp\n4tarvuqqU/+ciIhIPuCHKWShLGD+DzgPuNZaGx+Si+YTKmAEIDkZOnSAZcvcXo2LF7tbv3nh0xd4\nYP4DRJpIPuz1IdfWv9brSIEyMuCmm1wvTMmSsGgRNG7sdSoRERHP5bcC5hAwyVo7KCQXzEdUwMhR\n+/ZBu3ZuaeVatdxITJUqXqcK9PiCxxm+dDgFIwsyp+8c2tRq43WkQGlpbpWEqVOhfHlXGdar53Uq\nERERT/mhgAllD8wBYHcIryeS75QoAXPnwsUXw7p10Lo1bN3qdapAT7d6mjsvvZOU9BS6TurKik0r\nvI4UqEABmDDBVYQ7drhVEn7/3etUIiIi+V4oC5hE4MoQXk8kXypVCuLj3ZLKa9a4xv4dO7xOdTxj\nDK90fIUB5w8gOTWZjhM68v22772OFahQIbdOdZMmsHEjtG0L27Z5nUpERCRfC2UB8xBQ2xjzuPHL\nEgYiYapMGUhIgAYN3NLKbdu6pZb9JMJEMKrrKK6tfy17Du+h3bh2/Lr7V69jBYqOhtmzXQ/MmjVu\nybekJK9TiYiI5FuhLGCGAquAYcBaY8w0Y8yobI53Q5gprGgZZcmqfHlITHRtG9995753793rdarj\nFYgowMQeE2lTsw3bkrcRMzaGjXs3eh0rUKlSbknlox9m585u1QQREZF8ID8vo5xxmqdaa21kUMOE\nGTXxy8ls2gQtWriemCuucNPLihf3OtXxDqQcoO24tqzYtIJzyp7D0kFLKR9d3utYgTZuhKZNXS9M\n27Ywc6abZiYiIpJP+KGJP5QFzGkv6Gqt3RDMLOFGBYycyoYN0Ly5+97drBnMmQPFinmd6nhJh5Jo\nMaYFK7ev5MJKF7LwhoWULFzS61iB1qxxH+L27dC9O0ye7Br+RURE8oF8VcBI8KiAkdOxdq0bidm8\n2b9FzNYDW2k2uhm/7v6VptWaMq//PIpGFfU6VqDvvnMf5t69EBsL774LEaGckSsiIuINPxQw+j+u\nSD5RuzYsXAhnnQVLl0KnTnDggNepjlepWCUSBiRwdomzWfb7Mnp80IOU9BSvYwW64AJXARYtCmPG\nwL33gn6BICIiEhKeFDDGmGhjzIXGmGZeXF8kv6pb120qX6WKK2I6dvRfEVO9VHXmD5hPuaLlmPvr\nXPpP6096RrrXsQI1aQIffQQFC8KIETBsmNeJRERE8oWQFjDGmLONMVOBJOBLYGGW15oaY340xrQM\nZSaR/CZrEbNsmSti9u/3OtXx6perz7z+8yhRqARTfpzCLTNv8ecUybZtYeJEN31s2DB46SWvE4mI\niIS9kBUwxpjKwOdAV2AW8BmQde7c50AF4PpQZRLJr+rUcUXM2Wf7t4i5qPJFzO47myIFijDq21H8\nM/6f/ixiund3PTAA990Ho0Z5m0dERCTMhXofmApAW2ttd2B+1hettanAUuCqEGYSybeyFjHLl/uz\niGlarSnTrp9GVEQUL614iWeWPON1pOzFxsIrr7j7N98MU6Z4GkdERCSchbKA6QR8bK1deJJzfgfO\nClGesKONLOWvql37+CKmQwfYt8/rVMfrUKcDE7pPIMJE8OSiJxnx+QivI2XvrrvgqacgIwP69YO5\nc71OJCIikivy80aWR4CXrLUPZz4eCjyZddNKY8wLwBBrbZGQhAoTWkZZ/q61a6FVK7dPY5Mm8Mkn\nUKKE16mON+qbUQz+eDAAo7uOJrZxrLeBsmMt3H8/vPgiFCnidg1t2tTrVCIiIrkmvy2jvBuoeopz\n6gFbQ5BFRLI4OhJTtSp8+qk/R2JuvPBGXmz3IgCDPx7MtJ+meZwoG8bACy/A4MFw6BB07gxff+11\nKhERkbASygJmOXCNMaZSdi8aY+oCHciyMpmIhE6tWq6IqVYNPvsM2rd3+zT6yb1X3svQFkPJsBn0\n/rA3836d53WkQMbAyJHQs6erAtu3h9WrvU4lIiISNkJZwPwHKAwsNsZ0BIrCsT1hOgIzgQzgvyHM\nJCJZZC1iVqyA1q1h506vUx1vaIuh3H353aRmpNJtcjeWbFjidaRAkZEwfrwbytq50y23vGGD16lE\nRETCQsh6YACMMTcCbwIFsnk5DbjRWjshZIHChHpgJLdt2ABt2rjemPPOg4QEqJTt2Kk3MmwGt8y8\nhXe/eZfiBYuTODCRS6tc6nWsQAcPuhGYZcvcsm9Ll/rrgxQREfmL/NADE9ICBo5NFbsDuAIoDvpo\nFwAAIABJREFUC+wFVgCvWWt/DmmYMKECRoLhjz8gJgZ++sltfpmY6Hpk/CI9I53+0/sz6YdJlC5c\nmsWxi2lUsZHXsQLt3etWSPjmG2jUCBYvhtKlvU4lIiJyRvJlASO5TwWMBMuOHdCuHXz7LVSv7oqY\n2rW9TvWn1PRUenzQg5lrZlIxuiJLBi2hXtl6XscKtGMHNG/uemGuuALmz4dixbxOJSIi8pfl+wLG\nGHMN0BowwBJr7VTPwuRhKmAkmJKS3CaXn38OlSu76WQNGnid6k+H0w7TZWIXEtYlcHaJs1k6aCk1\nStXwOlagTZvckspH5+fNmgWFC3udSkRE5C/xQwET1CZ+Y0wXY8wSY0yLbF4bA0wH7gL+AXxgjFEB\nI+IzpUu7AYMWLWDLFnf77bdep/pT4QKF+ej6j7iq6lVs2reJmLExbNm/xetYgc4+232QFSu6oaw+\nfSAtzetUIiIieU6wVyG7BrgI+Dzrk8aYq4GBwEHgGeAhYB1wrTGmT5AzichfVLw4zJnz56JarVq5\nERm/iC4Yzey+s7mo8kWsTVpLzLgYdh702fJp4JqJ4uOhVCn46CO3X0xGhtepRERE8pRgFzCXAUut\ntYdPeP5GwAKDrLVPWmv/AzQDDgP9gpwpbBljjh1xcXFex5EwU7So+87drRvs2eMa/Bf6aNemkoVL\nMq//PM4rfx4/7viRduPasefwHq9jBTr/fPjkE4iOhrFj4Z57QNM/RUTEx+Li4o59x/SDoPbAGGO2\nAeOstfef8PxOXN9LOZslgDHmA+Aqa22VoIUKQ+qBkVBKTYXYWHj/fShYECZMgOuu8zrVn7bs30Lz\nMc35dfevNKnahPj+8UQXjPY6VqCEBOjcGVJS4Ikn4KmnvE4kIiJySmHfAwOUBlKyPmGMqQaUAZbZ\nwG/c63FLK4uIT0VFwbhxcOed7rt3r17w1ltep/pT5eKVSRiQQNUSVfl046d0ndSVw2knDgL7QEwM\nTJrkNr18+mn4r/bwFREROR3BLmD2A2ef8NzFmbff5PAzPvymISJZRUTAiBHwzDNu9tPtt0NcnH9m\nQlUvVZ3EgYlUjK5I4vpEek3pRWp6qtexAnXrBqNGufv33w/vvONtHhERkTwg2AXMSqCzMSbrhgfd\ncP0vy7I5vybgw+WDRORExsBjj8Hbb7uCZtgwGDIE0tO9TubULVuXhIEJlClShplrZjJg+gDSM3wS\nLquBA+HVV939W2+FyZO9zSMiIuJzwS5gJuCmkS02xtxljHkN16S/FTiu/de4CXVNgR+DnElEctHN\nN8OHH0KhQvDmm3D99XDYJ+OoDSs0ZF7/eRQvWJzJqyZz88ybybA+XPXrzjv/HM7q398t+SYiIiLZ\nCnYTfwQwG2iPG3UxQCrQz1r74QnnxgDxwBBr7ZtBCxWG1MQvfrBkCVxzDezdCy1bwvTpbrVgP1i6\nYSntx7fnUNoh/nHZP3ilwyu+WUnlGGvhwQfhhRfcBpfz5kHz5l6nEhEROY4fmviDWsDAsSKmD9AE\n2AVMs9YGbINnjOkNXA68YK3dHNRQYUYFjPjF999D+/awdSuce64bSKhRw+tUTvzaeLpM7EJKegqP\nNn2U4W2Gex0pkLVwyy3wv/+5zXcWLoSLLz71z4mIiIRIvihgJPhUwIifbNjgVgdetQoqVICZM+Gy\ny7xO5cxYPYMeH/Qg3aYzvPVwHm32qNeRAqWnQ9++8MEHUK6cG9o691yvU4mIiAD+KGCC3QMjIvlM\n9eqwfLlbJXj7dmjRAqZN8zqV07V+V8Z1G4fB8NiCxxjx+QivIwWKjHTrVHfsCDt3Qtu28NtvXqcS\nERHxDRUwIpLrSpZ008cGD3YN/ddd51o7/DBI2KdRH97u8jYAd8+9m1HfjPI4UTYKFnQrIzRrBps3\nu2pwixZoFBERARUwIhIkUVFuW5Nnn3WFywMPwKBB/lih7KaLbuKl9i+5+x/fxKQfJnmcKBtFi8Ks\nWa4HZu1aaNcOdu/2OpWIiIjn1AMTBtQDI343ZQrExsLBg64fZto0qFLF61TwzJJneGLhExSIKMC0\nXtPock4XryMF2rnTrUb200/uw0tIcA3+IiIiHvBDD4wKmDCgAkbygm+/hWuvdU3+lSq5IubKK73N\nZK3lkcRH+Pfyf1MwsiCz+syibe223obKzubN0LSp64Vp3Rpmz3ZLLYuIiISYHwoYTSETkZBo3Bj+\n7//cHjFbt7rbd9/1NpMxhmfbPMuQS4eQkp5C10ldWfzbYm9DZadKFZg/31V+CxZA796Qmup1KhER\nEU+ogBGRkClfHuLj4R//gJQUuOkm1+h/8KB3mYwxjOg4gpsuvIlDaYfo/H5nlv++3LtAOalTx314\npUvDjBlw442QkeF1KhERkZBTARNGjDHHjri4OK/jiGQrKgpGjIBRo9wsqFGj4PLLYfVq7zJFmAhG\ndhnJgPMHkJyaTMcJHfli8xfeBcpJo0bwyScQHQ3jx8Ndd/ljaTcREQlrcXFxx75j+oF6YMKAemAk\nr1q5Enr2hJ9/dt/JR46Efv28y5OWkUb/af2ZvGoypQqXInFgIhdVvsi7QDlZsAA6dYIjR+DRR2H4\ncK8TiYhIPqEeGBHJ1xo1cn0xfftCcjL07w833+zue6FARAHGdRtHt/rd2HN4D+3GtWPltpXehDmZ\n1q1h8mS36eW//gXPP+91IhERkZDRCEwY0AiM5HXWuj1j7rrLDSrUrQtjx8IVV3iTJyU9he6TuzP7\nl9lUiK7A4tjF1C9X35swJzNhAgwY4D7AkSPhllu8TiQiImFOIzAiIoAx7rv3559Dw4bwyy9w1VXw\n+OOu2T/UCkYW5MNeH9Kudju2J2+n9Xut+WXXL6EPcir9+sFrr7n7t90Gk3y4IaeIiEguUwEjIr5x\nwQXw5ZfwwANuUGH4cDcKs2pV6LMULlCY6ddPp1WNVmw5sIXWY1uzPml96IOcyh13uGlk1rrRmNmz\nvU4kIiISVJpCFgY0hUzC0dKlcMMNsH49FCzoetUfeij0+zceSDlAh/EdWL5xOTVK1WBx7GKqlawW\n2hCnYi08/LDrhSlcGObOhRYtvE4lIiJhyA9TyFTAhAEVMBKu9u+Hf/7T9ccA1KsHb7wBbdqENse+\nI/toN64dn2/+nNqla7Nk0BLOKn5WaEOcirVuGtnbb0Px4m6lsksu8TqViIiEGRUwkitUwEi4W7wY\nbr8dfvrJPe7bF158ESpWDF2GPYf30GZsG77e8jX1y9Vn0Q2LqFgshAFOR3q6W8pt0iQoWxaWLIEG\nDbxOJSIiYcQPBYx6YETE91q0gG+/da0ehQvD++/DOefAf/4Dhw+HJkOpwqWI7x/P+RXPZ/XO1cSM\ni2HnwZ2hufjpiox0y7d17gy7dkFMDKxb53UqERGRXKURmDCgERjJT9atgzvvdBvSA1SrBs884xbk\nigjBr2S2J2+n5ZiW/LTzJxpXakziwETKFCkT/Av/FYcOQceObuiqVi3XUHSWz6a8iYhInqQRGBGR\nv6hWLbfQ1iefwPnnw++/w8CBcNFFMG+eawUJpgrRFUgcmEjdMnX5duu3tB/fnqRDScG96F9VpAh8\n/LHrgVm3Dtq1cyMyIiIiYUAFjIjkOcZAhw7w9dcwZgxUrQrffeeeu/JKmDEDMjKCd/3KxSuz4IYF\n1Cpdiy//+JK249r6r4gpUcJVeQ0auHWoO3Z0qyKIiIjkcZpCFgY0hUzyu0OH4NVX3SrCRwcazjvP\nLbvcuzdERQXnuhv3bqTVe61Ym7SWiytfzPwB8yldpHRwLnamNm+GZs3cetQtW8KcOW6ERkRE5Az4\nYQqZCpgwoAJGxElOhv/9D154ATZtcs9Vrw633go33hicVcuyFjEXVb6I+QPm+68nZt06aNoUtmyB\nLl1g6tTgVXUiIhLW/FDAaApZCBhjmhljZhhjNhljMowxA7M5J9IY8y9jzDpjzKHM26eNMfpvJHKa\noqPh7rth7VoYNcqtVLZhg9sE8+yzoWdPSEjI3ellVUtWZVHsImqXrs3XW76m7bi27D60O/cukBtq\n1YL4eChTBmbOhNjY4M6xExERCSJ9OQ6NYsBK4C7gYA7nPAbcAtwJnJN57h3AI6EIKBJOChaEQYNc\n68ecOdC1q2vu//BDaNsW6taFxx93fTO5MXB5domzWRS7iDpl6vD1lq+JGRvjvyKmYUPXE1OsmFuH\nesiQ4K94ICIiEgSaQhZixpj9wBBr7dgTnp8J7LTWDsry3BigjLX2mlO8p6aQiZzC5s1uVOadd2Dj\nxj+fr1cPevVyozONGrkFAs7Upn2baPVeK37d/SsXVrqQhIEJ/ptOtmiRW+3gyBF4+GF49lmvE4mI\nSB7ihylkKmBC7CQFzB3Ag0B7a+3PxpgGwFxguLV25CneUwWMyGlKT3ff4adMca0gO7PsRVmliltx\nuH17twdk2bJ//f0379tMy/da8uvuX2lcqTEJAxIoW/QM3iiYZs2Cbt0gLc0VMA8/7HUiERHJI1TA\n5EM5FTCZrw3HTRlLAyJxxcuTp/GeKmBEzkBa2p/FzIwZsG3bn68Z4/aWadrULc3cpIlbrvl0bN63\nmVbvteKX3b/4t4iZONHt/mktvPkm3Hab14lERCQPUAETYsaYHkALoDFwAVAcGG+tDWiqz/IzVYCn\ngfZAWWAL8BEwzFq754Rz+wJHR0ss0NFau/yEc3IagbkLeBi4G/gxM+MI4H5r7ehT/LlUwIj8TRkZ\nsHKl2wwzPt5tXp+Scvw5VarAFVdA48Zuutn557tVziKy6SbMWsRcUPECEgcm+q+IeestuP12V62N\nHw99+3qdSEREfE4FTIgZY74BzgcOAJuA+sCEnAoYY0wt4DOgHK5o+Rm4DGgNrAaustYmZTk/Gsi6\nUOtma+2RE94zpwJmK/CMtfa1LM89Btxgra13ij+XChiRXHbwICxfDp995o4VK2DPnsDzihd3e87U\nresW+6pd2x21akFakc20HuuKmEYVGjF/wHwqFgvCWs5/x7//7aaQRUa6OXVdu3qdSEREfEwFTIgZ\nY1oAm6y1azPvL+QkIzDGmHlADPAPa+0bWZ7/L3Av8Ja19o6/mCGnAmY7EHfCdR4BBltr65ziPVXA\niARZRgb8/DN88YUbqfn+e3e7dWvOP1O0KFSp/webY1pzsOjPlMk4hyHFEzi3ytlUrgzly0Pp0u7w\ndG/JRx91vTAFC7r+mLZtPQwjIiJ+pgLGQ6cqYDJHX34F1ltra5/wWjHcVDKACtbaQ6e4VjRQBzDA\ncuBZYCaw21q7MfOct4EOwG3AKuAi3HS0MdbaB0/x/ipgRDyyY4dbrnndOrf/zNFj3TrYfXQl5eht\nMLAtVFwJSTXhvUTYU/O49ylUyBUyZcr8WdSULOn2tomOdsVQ1tus94sUcbXH0SMqKuf72U13w1q3\ngc6rr7o3i493zT8iIiInUAHjodMoYAYD7wAjrbW3Z/P6XKAtEGOtXXia1zrxw37PWntj5jlFgWFA\nD9w0tC3AROBpa+0JM/ED3l8FjIgP7dnjNtLcuhV+2bSbf2/uwCb7fxRJrUL9LxI5tPEckpJcoZOa\nGppMkZF/FjORke6IiIBIk8GL+2+i98HR7DMlGHhWIquKXOJeyzznVPePLkF9stvTOSeY58qf9JkE\n0mcSSJ+JnGjyZBUwnjmNAuZ54J+4JvqXsnn9VdxGk3ecapnjYFMBI5I37Duyj87vd2bZ78uoEF2B\n+QPmc37F87HW9dwkJR1/7N3rnj94EJKTA2+P3j940BVAKSl/3h49Tnx8MhGkM4F+9GYyuyhDCxaz\nioah+XBERCSP8L6AKeDVhfOAkpm3e3N4/ejzpUKQRUTCQIlCJZjbby7dJndj/rr5tBzTknn953Fp\nlUuPTQs7++zgXd9atw/O0WImPd319mRkHL0fScaRcRy8JZmyC2bxbbkYNoxbypFqdbOcQ7b309P/\nvEZOtyd7LRTnyp/0mQTSZxJIn4lkp08frxOogAkr5iTjvEOHDiUuLi50YUQkW9EFo/m4z8f0mtKL\nmWtm0mZsG+b0m0PTasHvOTEGChRwR9GiOZ0VBbOnQOfOFFiwgNq3tHFrSlevHvR8IiLiD3FxcQwb\nNszrGDnKrp1TnKMjLCVzeP3o89ksrOoNa22Oh4oXEf8oXKAwU3tN5frzrmd/yn7aj29PwroEr2P9\nqXBht7NnkyawcSPExMCWLaf+ORERCQtxcXE5fqf0AxUwOfsZN8kvpz1Y6mberglNHBEJJ1GRUUzo\nPoHYxrEcTD1I5/c7M+2naV7H+lOxYjB7Nlx4Ifz6q1taedcur1OJiIiogDmJoyuLtTvxhcxllK8C\nDgIrQhlKRMJHZEQk717zLndeeicp6Sn0nNKTkV96uibI8UqVcksqN2jg1opu396tLCAiIuIhFTA5\nsNauA+KBGsaYO094+SkgGhh7qj1gQskYc+zQlDGRvCHCRDCi4wieavkUGTaD22bfxlOLn/LNMD3l\nysH8+VC7Nnz1FXTu7JY/ExGRfCMuLu7Yd0w/yFfLKBtjugLXZj6sBLQH1gFLM5/baa19IMv5tXAb\nT1YAPgZ+Aq4AWgKrgaustUkhCX8SWkZZJDy8/dXb3D77djJsBndccgcjOo4gMiLS61jOb79Bs2aw\naZObTvbxx65XRkRE8hVtZBlixpihwJMnOeU3a23tE36mCm7EpQNQFrfB5DTgKWutL+ZSqIARCR/T\nfppG36l9OZJ+hOsaXMf4buMpVKCQ17GcNWugeXPYtg2uuQY+/NDtiCkiIvmGChjJFSpgRMLL4t8W\nc82ka9h3ZB+tarTio94fUaJQCa9jOStXQosWbqfN3r1h/HiI9MkokYiIBJ0fChj1wIQR9cCIhIcW\nNVqwJHYJlYpVYuFvC2k+ujmb9232OpbTqBHMmwfFi8OkSXDrrW43SxERCVvqgZFcpxEYkfC0Pmk9\n7ce355fdv1CleBVm9Z1F40qNvY7lLFkCHTrAoUNw113w8stup0wREQlrGoEREZEc1Sxdk88Gf0bT\nak3ZvH8zTUc1Zfaa2V7Hcpo3h+nToWBBGDECnnjC60QiIpJPqIAREfGxskXLkjAggX6N+pGcmsw1\nk67h9S9e9zqW0769m0YWGQnDh8Nzz3mdSERE8gEVMCIiPleoQCHGdRvH0BZDybAZ3PnJndz9yd2k\nZaR5HQ26dYP33nPTxx55BF57zetEIiIS5lTAhBE18YuEL2MMcS3jeO/a94iKiGLEFyPoML4Duw7u\n8joa9OsHb73l7v/jHzBmjKdxREQkd6mJX3KdmvhF8pdlvy+jxwc92J68nVqlazGj9wwaVmjodSx4\n6SW47z6IiICJE6FXL68TiYhILvNDE78KmDCgAkYk/9m4dyPXTr6Wr7d8TXRUNGO7jaX7ud29jgVP\nPQVDh0KBAjB1qtvwUkREwoYfChhNIRMRyYOqlqzKskHLjjX39/igB08ufJL0jHRvgz3xBDz4IKSl\nQc+eMHeut3lERCTsaAQmDGgERiT/stby38/+y0MJD5FhM2hdszUTuk+gUrFKXoaCe++FV16BQoVg\n9mxo08a7PCIikmv8MAKjAiYMqIARkcR1ifSd1pftydupVKwS73d/n1Y1W3kXyFq44w7X3F+kiBuJ\nad7cuzwiIpIr/FDAaApZGNEqZCL5V5tabfj21m9pWaMlWw9sJWZcDE8vftq7KWXGwOuvw403wqFD\n0LkzfPaZN1lERORv0Spkkus0AiMiR6VlpDFs0TCGLx2OxdKmZhtGdx1N1ZJVvQmUng6xsTB+PJQo\nAQkJcOml3mQREZG/zQ8jMCpgwoAKGBE5UfzaePpP68+OgzsoWagkr3d6nb6N+nrz27O0NOjbF6ZM\ngVKlYOFCaNw49DlERORvUwEjuUIFjIhkZ+uBrdwy8xZmrpkJwHUNruPNzm9Srmi50IdJTXX7wnz0\nEZQtC4sWQUMf7F0jIiJ/iQoYyRUqYEQkJ9ZaRn87mrvn3s2BlANUKlaJd7q8w9X1rg59mCNHoHt3\nmDMHKlSAxYuhfv3Q5xARkTOmAkZyhQoYETmV9UnriZ0Ry5INSwA3GvNy+5epUqJKaIMcPgxdurhe\nmMqVYckSqFMntBlEROSMqYCRXKECRkROR4bNYMTnI3h8weMkpyZTrGAxnmn1DEMuG0KBiAKhC3Lw\nIHTq5EZgqlZ1RUyNGqG7voiInDEVMJIrVMCIyF+xce9G7pp7Fx+t/giACytdyFtXv8VlVS4LXYgD\nB6B9e/j0U6hZ889iRkREfM0PBYz2gQkj2gdGRE5H1ZJVmX79dGb0nkG1ktX4Zus3XP6/y+kztQ/r\nktaFJkSxYq4X5tJLYf16aNMGtmwJzbVFROQv0T4wkus0AiMiZyo5JZmnlzzNyyte5kj6EaIiohhy\n6RAeb/44ZYuWDX6ApCRXvHzzjWvoX7QIKlYM/nVFROSM+GEERgVMGFABIyJ/1+97f+eJhU8w7rtx\nWCwlC5XkwaseZMilQyhZuGRwL75zJ7RuDStXQoMGbp+YChWCe00RETkjKmAkV6iAEZHc8t3W73go\n4SHmrZ0HQIlCJbjjkju454p7qFgsiCMj27dDq1bw44+uiFmwQCMxIiI+pAJGcoUKGBHJbYnrEhm+\ndDgLf1sIQOEChbmx8Y3c3+R+apauGZyLbt/uRmJWrVIRIyLiUypgJFeogBGRYFmxaQXPLXuOGT/P\nAMBg6FCnA7defCud63XO/eWXt293PTE//ADnnuuKmEqVcvcaIiJyxlTASK5QASMiwbZq+yqe//R5\nJv0wiZT0FADOKn4Wgy8czOALB1O9VPXcu9iOHW4k5ocfXGP/woUqYkREfEIFjOQKFTAiEio7D+5k\n7HdjGfnVSNbsWnPs+SvPvpKeDXpyXYPrqFoyF/ZzUREjIuJLKmAkVxwtYLIaOnSo9oIRkaCx1rJ4\nw2JGfjWSGatncCjt0LHXmlRtQvf63elQpwMNyjc4830Dduxw08lWrnRFzIIFULlyLv0JRETkdMXF\nxTFs2LDjnlMBI3+LRmBExEvJKcnM/mU2H6z6gDm/zDmumKlSvArtarejXe12tKnZhvLR5f/am2ct\nYs45x43EqIgREfGMRmAkV6iAERG/OJBygNlrZjP7l9nEr41nW/K2416vU6YOV559JU2qNuHKs6+k\nYYWGREZEnvxNd+50Rcz336uIERHxmAoYyRUqYETEjzJsBiu3rSR+bTzz1s7j042fHjc6A1CkQBHO\nq3Ae51c4n0YVG9GoQiPOq3AeFaMrHj/1bOdOiImB776DevVcEXPWWSH+E4mIiAoYyRUqYEQkL0hN\nT+X7bd/z2abP3LHxM9bvWZ/tudFR0dQqXYvaZWpTu3RtapWuRX1bjiY3PknhVT9ja9fGJCZC9Vxc\n/UxERE5JBYzkChUwIpJXJR1KYuX2lazctpLvt33Pyu0rWb1zNUmHk7I9v8xBmDcOLtkCm0tFcu8D\njUivU4vKxSpTpkgZShcuTekipbO9LRpV9MwXFBAREUAFjOQSFTAiEm6SDiWxNmkt65LWsXb3WtYm\nuWPzvs0k7/yDD0Ync9VG2FIMYgbCjxVO/Z4RJoKiUUWJjoomumD0sftFo4oe97hwgcIUjCx47IiK\niDr+cWRUwOtRkVFEmkgiTASREe42wkQce+5Mnj/6JcGQeWvMcfdPfC3U58rxVBwH0t+VQOHw9yQq\nMgpQASN/kwoYEclvDuzeSsS13Sm69DOOlCrOtJdv5efq0SQdSiLpcOZx6M/b3Yd2cyT9iNexRUTy\nvjh3owJG/hYVMCKSLx06BD17wuzZULIkfPIJXHlljqenpqdyMPUgyanJ7jYlOeBxcmoyR9KOkJKe\nQmpGKinpKceO1PQsjzOOf5yakUqGzSA9I50Mm+Hu2yz3z+B5AIv7d91ae9z9E18L9blyPP3/N5D+\nrgQKl78n6UMz/31SASN/hwoYEcm3UlKgXz/48EOIjoaZM6FVK69TiYiELT/0wER4dWEREZG/rWBB\nmDgRBgyA5GTo1AnmzPE6lYiIBJEKmDBijDl2xMXFeR1HRCQ0ChSAMWPgttvg8GG49lqYOtXrVCIi\nYSMuLu7Yd0w/0BSyMKApZCIigLVw//3w4osQEQFvvgm33OJ1KhGRsKIpZCIiIrnFGHjhBRg2DDIy\n4NZb4emnXWEjIiJhQyMwYUAjMCIiJxg5Eu64wxUyQ4bAK69AZKTXqURE8jw/jMCogAkDKmBERLIx\nbRr06eNWKuvZE8aNg0KFvE4lIpKnqYCRXKECRkQkB4sWQdeusG8ftG4N06dDiRJepxIRybNUwEiu\nUAEjInIS334LHTrAtm1w4YVuw8uKFb1OJSKSJ/mhgFETv4iIhLfGjeHTT6F2bfjmG7jiCvjxR69T\niYjIGVIBIyIi4a9WLVi+HC67DH77DZo0gcREr1OJiMgZUAEjIiL5Q8WKsHAhdO8Oe/e6aWWjRnmd\nSkRE/iIVMCIikn8ULQpTprgNL9PSYPBgeOwxt9yyiIjkCWriDwNq4hcROQNvvQV33gnp6XDddTB6\nNBQr5nUqERFf80MTvwqYMKACRkTkDM2bB716uWWWzz8fPvoIatb0OpWIiG/5oYDRFDIREcm/2reH\nzz+HevXg++/h0kthwQKvU4mIyEmogBERkfytfn1XxHTqBLt2Qbt2MGIEaFRbRMSXVMCIiIiUKgUf\nfwyPPOJ6Yu6+G264AZKTvU4mIiInUAETRowxx464uDiv44iI5C2RkfCvf8GkSW61snHj3JSyH37w\nOpmIiKfi4uKOfcf0AzXxhwE18YuI5LIff4SePd1tkSLwxhsQG+t1KhERz6mJX0RExI8aNIAvvnDT\nyA4dgkGDXAGjKWUiIp7TCEwY0AiMiEgQjR4NQ4a4QqZuXRg7Fq64wutUIiKe0AiMiIiI3w0a5EZj\nzjsPfvkFrroKnngCUlK8TiYiki+pgBERETmVhg3hyy/h/vvd8srPPONGYVat8jqZiEj2UdxSAAAW\nR0lEQVS+owJGRETkdBQuDP/5DyxaBDVqwDffwMUXw3PPQWqq1+lERPIN9cCEAfXAiIiE2P79cN99\n8L//ucfnnQdvvQVNm3qbS0QkyNQDIyIikhcVLw7vvAPx8VC7tptK1qwZ3HQT7NrldToRkbCmAkZE\nRORMtW0LK1e6pv6oKHj3Xahf3xU3aWlepxMRCUuaQhYGNIVMRMQHVq+GO+6AhQvd43PPdf0xXbqA\nT3avFhH5uzSFTEREJFzUrw+JiTBpEtSsCT/9BF27QosW8PnnXqcTEQkb/9/evUdbWdd5HH9/xAsK\nRgkJiDoqealMLV2mYoJ5QV051nISo9EM1FKzLDPHyxIvKdM4qeQkXll5adJ0lVnmiKahEY45ltmY\nQoMkKEKIIhc1ke/88XuObvfZ++zr2fvZ53xea+21Oc/ze37P7zl81z7ne343JzBmZmbNIsGECak3\nZto0GDoUHn44Lbl8xBHwyCPtbqGZWcfzELI+wEPIzMxyasUK+M534PLL4fXX07Fx4+Css9L8GQ8t\nM7MOk4chZE5g+gAnMGZmObdkCVxxBVx1Fbz6ajq2++7w9a/DkUemPWbMzDqAExhrCicwZmYdYsWK\nlMRccQUsXZqODR0KX/gCnHgi7Lhje9tnZlZBHhIYz4FpAUmfkPQzSYskrZN0bIkygyVdIWmBpDWS\nfiNpj3a018zMesmQIWn42IIFaePL3XZL+8ZcdllaBGD//eHGG+GVV9rdUjOz3HIC0xqDgSeBrwJr\nypS5ATgIOAbYGbgPuF/SyJa00MzMWmfjjeFLX4LHH4dHH4XJk2GTTeDXv4bjjoPNN0/LL998c+q1\nMTOzt3kIWYtJWgmcEhE3FRwbCKwEPhMRvyg4/hjwy4g4r0KdHkJmZtbpVqxISzDfdhvMmgXr1qXj\nG26YemYOPhjGj4cPfciT/82sbTyEzLqsDwwA3ig6/hqwb+ubY9Zc559/frubYFZSrmJzyJDUK/PA\nA/DCC2muzLhx8OabcO+9cPrpsPPOsOWW8MUvwk03wbx54D9e9Um5ik2znHEPTIuV6oHJjs8G1gKf\nA14EJgI/AOZFxAcr1OkeGMs1SY5Py6WOiM2lS+G++2DmzPR68cV3nx82LO0zs/feaWWzXXaBESPc\nS9PhOiI2rV/KQw9Mv0pgJB0JjAV2A3YFNgVuiYhuk+oLrhkFXASMB4YCi4E7gQsi4pWishOBa7Iv\nAzg0ImYXlSmXwGwLzMjatxZ4HJgL7B4RH67wXE5gLNf8g9jyquNiMwKefDIlMrNnw5w5aYnmYkOH\npkTmIx9JiwOMHp1eW28NG2zQ+nZbzTouNq3fcALTYpJ+D+wCrAIWATsBPyyXwEjaDpgDDCMlLc8A\newKfBJ4GxkTEywXlBwHDC6p4PiLeNSysXAJTcH5j4D0RsUTSrcCgiDi8wnM5gbFc8w9iy6uOj82I\ntKLZnDnp9cQTKcEpt4rZgAEpiRk9GrbbDkaNgpEj33mNGAHDh8P667f0May7jo9N67PykMD0tzkw\npwE7RMQQ4GSg0jd+Oil5OTUijoyIsyPiQOByUvJzcWHhiFgdEfMLXsVzWiqKiNey5OV9pF6fO2ut\no9O1Y9xvb9yz0Trrub7Wa6op36wyfYFjs7E6armm2rKVyvX52JRg2205f+5cuPJKeOghWL4cnnsO\n7r4bpk5NK5yNGwdbbZUWBnj2Wbj/frj2WpgyJe0/c/jhsMceaX7NhhumVdB23DENTTv0UJg4EU45\nBc49F777XZgxA378Y86fOBEefDCtpPanP6W6lyyBVaveWYSgRnn/7GxWbNZ6307mz87GrvdnZ3f9\nqgemkKSxwIOUGUKW9b78BXg2IkYXnRtMGkoGsHlEvFbhXoOAD5ASptnAVODnwPKIWJiVOZiUUD4N\nbA/8G2nJ5f0i4q0K9fepHph2/NWpN+7ZaJ31XF/rNdWUb0aZvvKXRMdmY3XUck21ZRuNvX4Xm2+8\nkXps5s9PrxdeSHNqFi9+57V0adULA4g0XrqsgQNho41SUrThhmn4Wte/y3ytu+4ijj469Ratt156\n1fBvTZ1KnHfeu49L77zSN+xd7/rWt4hLL3338XJlTzuNmDatYlmdfDIxfXr3OgrLnHACcf31pb+3\nxx9f9lyn0fHHEzfc0Np7Tp7c9HtWVWcPc880aRIxY0bt963humrLVirX03lNmgR4CFlbVJHATAau\nA66JiJNKnP8v0r4tB0bEg1Xeq/ibfWNETMrKfJaU2IwClgN3AOdGxMoqnsUJTA7v6QSm/nbllWOz\nsTqcwPSepj7H2rWwbBm8/HLPr9Wr0R13EGPHwurVsGZNeu/695py255VeBYqJEW9cH0t11Rbtppy\nPZVp9PuQJ+14lt64Zztis9brmhWflWIT2pvAeJBreTuS/u/mljk/j5TA7EBKTsqKiFlUGK4XEbcD\nt9fezHeoh6y/07TjWXrjno3WWc/1tV5TTflmlOkr8enYbKyOWq6ptmyjsefYbPC+s2Y1v842XF/L\nNdWWraZcT2X6RmQm7XiW3rhnO2Kz1uuaFZ95jr/+NgemFkOy93JbIHcdf28L2mJmZmZmZrgHpk9o\nZxeemZmZmVkruQemvK4eliFlzncdL7NWpZmZmZmZNZsTmPKeIQ3/26HM+e2z93JzZMzMzMzMrMmc\nwJTXNTH/4OIT2TLKY0jLHD/SykaZmZmZmfVnTmDKiIj5wExgG0lfKTp9ITAIuKnSHjBmZmZmZtY8\n/WofGElHAJ/OvhxB2ul+PvBwdmxZRJxRUH470saTmwN3AX8G9gLGkTacHBMRL7ek8WZmZmZm1u8S\nmCnAeT0UWRARo4uuGUXqcTkEGAosBn4CXBgR5ZZYNjMzMzOzXtCvhpBFxAURMaCH1+gS1zwfEZMj\nYlREDIyIbSPi9L6QvEj6hKSfSVokaZ2kY9vdJuvfJJ0sab6k1yQ9JmnfdrfJDPx5afkl6SxJj0pa\nIWmppLskfbjd7TKDt3+uP5HF5wpJv5V0WKP19qsExroZDDwJfJW0IIFZ20iaAFwBfBvYDfgtcI+k\nLdvaMLPEn5eWV/sB/wHsDewPrAXul+SNti0PFgLfAj4K7A48ANwpaZdGKu1XQ8isPEkrgVMi4qZ2\nt8X6J0mPAH+IiC8XHJsL3B4R57SvZWbv5s9LyzNJg0h72R0REXe3uz1mxSS9BPxLRFxXbx3ugTGz\ntpO0AekvM/cVnZoJ7NP6FpmZdaz3kH6/8yJDliuS1pN0NDAQeKiRutZvTpPMzBoyDBgALCk6vgQ4\noPXNMTPrWNOAx4E57W6IGYCknUnxOJA0BPeoiHimkTrdA5MDko6U9D1JD2UTnNZJ6nFogqRRkmZI\nel7S65KelXR5qTGvkiZKWpm9XpU0pveexvqi3o5Rs0Y4Pi2vWh2bki4j9VofGZ4jYBW0MD6fBnYF\n9iTN17pV0u6NtN09MPlwLrALsApYBOzUU+Fsf5o5pL9a3wk8QwqKrwHjJRXvT/Mz4JGCr59vXtOt\nn+jtGF0GvAUML6pqOPBiMx7A+rTejk+zerUsNiVdDhwFjIuIvzbtCawva0l8RsRa0r6LAL+XtCdw\nCjCp3oa7ByYfTgN2iIghwMmAKpSfTgqeUyPiyIg4OyIOBC4nBd/FhYUjYnVEzC94vdELz2B9W2/H\n6JvA/wAHFdVzEGkzWbOe9Gp8mjWgJbEpaRowAdg/IuY1rfXW17Xrs3M90rDxujmByYGImBUR/1dN\n2Sz7PYi06eZVRaenAKuBYyRtXEVdgyTtKmk3UixsnX29VY2PYH1ci2L0MuA4SZMl7ZT9QB4JXNNg\n862Pa0V8+vPS6tGi2Pw+cBwwEVghaXj2GtTwA1if1qL4nCppX0n/IGlnSVOBscDNjbTdCUzn2T97\nn1l8IiJWkf5avQmwVxV17QH8nvSX74HABaSJfxc0paXWX9UVoxHxY9Jfg84hxeU+wKERsbBXW2v9\nTb2fof68tN5Wb2yeRNqn6FfACwWv03utpdYf1RufI0jJytPA/aQVRw+JiPsbaYznwHSeHYEA5pY5\nP4+UIe8APNhTRRExCyex1nx1x2hEXA1c3auts/6urvj056W1QL2x6bi0Vqg3Pr/YG41x0HeeIdn7\nijLnu457JR1rF8eo5Znj0/LKsWl5lqv4dAJjZmZmZmYdwwlM5+nKcIeUOd91/JUWtMWsFMeo5Znj\n0/LKsWl5lqv4dALTeZ4hLXO3Q5nz22fv5cYomvU2x6jlmePT8sqxaXmWq/h0AtN5uiZGHVx8QtJg\nYAywhndvXGnWSo5RyzPHp+WVY9PyLFfx6QSmw0TEfNISdttI+krR6QuBQcBNEfFayxtnhmPU8s3x\naXnl2LQ8y1t8KiJacR/rgaQjgE9nX44AxgPzgYezY8si4oyC8tuR1tveHLgL+DNp3e1xpHW2x0TE\nyy1pvPULjlHLM8en5ZVj0/Ksk+PTCUwOSJoCnNdDkQURMbromlGkjPcQYCiwGPgJcGFElFvizqwu\njlHLM8en5ZVj0/Ksk+PTCYyZmZmZmXUMz4ExMzMzM7OO4QTGzMzMzMw6hhMYMzMzMzPrGE5gzMzM\nzMysYziBMTMzMzOzjuEExszMzMzMOoYTGDMzMzMz6xhOYMzMzMzMrGM4gTEzMzMzs47hBMbMzMzM\nzDqGExgzMzMzM+sYTmDMzMzMzKxjOIExMzMzM7OO4QTGzMzMzMw6hhMYMzOzHJJ0kaTXJI1sw72n\nS1om6T2tvreZWSVOYMzM+hhJ6yq8jm13G61nkrYAvgFcGxGLC44PyP4P/17h+kVZuS3qbMIlwGDg\nnDqvNzPrNeu3uwFmZtYrAjgfUIlzf2htU6wO5wIbAf9e5/WRveq7OGKhpFuBUyVdGhHL6q3LzKzZ\nFFH355uZmeWQpHVARMSAdrfFaidpEPAC8FhEHFB0bgDwJrA2IjbsoY6FwBbAVhHxQp3tOBCYCZwZ\nEZfWU4eZWW/wEDIzs35M0i3ZUKMtJX1N0h8lrZE0s6jcoZLuyeZFvC7pL5K+I2nTMvWOlzRb0ipJ\nL0n6iaTtC+63RUHZA7JjZ5epa5GkuWXOfV7Sg5JezuaL/K+ksyRtUFSua+jVTEnDJF0vaXH2LE9K\nOqaH79Ehkn4haUlW/jlJP5W0f3b+sKzua8pcv5Gk5dn9qhn5MAHYFLitirJVk/RwhaGFM4su+RXw\nN2BSM9thZtYoDyEzM+vfuoYaXQWMAX4J/AJ4e46FpAtJQ5qWAXeRfqndFTgDGC9pn4hYU1B+AvBD\n4HXgVmAJsB8wB3iK2oc2lSwv6UbgGOCvwO3ACmAf4GJgf0njo/swg82ydqwmJQgbA0cBN0paGxE/\nKrrHxcBZwKvAncAiUs/GGOBzwIPAPcAC4GhJ34iI1UX3nAC8F5gaEWureN6Dsmf+TRVla3EDcF+J\n4+OAsaTvydsiIiTNAQ6XtFVELGxye8zM6uIExsysj5I0pcThBRFxY3FRUkKya0QsKqrjIFLy8hDw\nqYhYVXBuEnA9MAU4Mzu2KXA1sBbYJyL+WFB+GnAqDczNKKjreFLychvwhYgoTLguyNr8ZWB60aUf\nBa4BTulKbiRdSZoXdCbwo4J6DiMlL/OA/SJiSVEbRsLbv+hfQ5r4/nng2qJ7ngisI32vqjEGWB0R\nT/VQZr0y/7+Q/j+7rR4WET/oVlDaDfgmKck8rURdjwKHkxLQH/bcbDOz1vAcGDOzPqZrDkyZ07Mi\n4pMFZW8GJpJ+ob+6RF0/Bw4DdoqIeSXO/xHYLCK2zL4+FvgBcH1EnFhU9r2k3pLBFMzNkHQAqWfg\n3Ii4pMQ9FgKvRcQOBceeBD4AvL8wqcrODSD1Ej0VEfsWHHsTWAmMLOwxys7/BtgLGBQRb2TH7gEO\nBg6PiF8Wt6vo+mHAwuyeuxcc/xDwJ+DeiDi0pzqy8hsAbwBzI2KnEue7nqPSD29lZcrOgZG0JfDf\nwBBgXEQ8VqJM1//nlIi4qFL7zcxawT0wZmZ9VI2T+H9X5vhepF+oJ0rdFjQT6efISEmbRsRK4GOk\nX5wfKtGeV7KEZ58a2tWNpMHAh4EXgdPLtOt14IMlLn+mOHnJLAT2Jg316upp+Tip56R4bkg3EbFM\n0h2k79MeBcnAl0jfj27JYRnDsvflFcq9VeUk/nLnBwN3A8OBfyqVvGReyt43r9AeM7OWcQJjZmaQ\nkoFSNsvez+vh2iD1qqwk/TUf3kkCqr1PLbraNLxCu94sceyVMmW75qYUJn1DgKVVzluBNFzt86Sk\n5TFJGwH/DCwGfl5lHV09K6WWv26KrBfnDmBn4JsRcWcPxbsW+/FwDTPLDa9CZmZmUP4X1FeBv0XE\ngB5e6xdstrgiex9epr4RJY6ty97L/VFtSNHXXff4XYV2DSxTX7VWAMOqXDmMiPgt8ARpMv+mpMn7\n7wNuiIh1PV78jq79VjbrsVRjppOGxl0VEZdXKNvVjr/1YnvMzGriBMbMzHryCPB+SdtXWf5xUu/B\n2OIT2RyYXUpc83L2vlWJa3Yi9e68LSJWAM8AH5HUbbJ6Ez1C+jk5voZrpgObkBYYOAF4i+on75P1\n9iwCRtZwz6pJOhM4njR87KtVXDKKlNzO7432mJnVwwmMmZn15DJSQnK9pG69J5IGSdqz4NBPST0X\nx2QrXBW6iLS/SbGngFXAZyS93fMgaRNgWg/t2hiYUSqJkfS+Evev1ZWkZ7+szLOXmmNyC2ko3Vmk\n1cTuqWP54YeBQdkCAE0j6bOkldIeByaUWGK6lI9n77Oa2RYzs0Z4DoyZmZUVEfdJOoeUfMzLVuZ6\nltQrsg2pp+UB4B+z8islfZm05O5sSbeR5r3sB+xE+uV836J7/D1byvhfgCck/RTYgNTzsYAS82ki\n4jpJHyMtUTw224TxOdKQp+2AT5CWM66ml6Hcs98jaWrWrqclde0DMyJ7hoey+xdesyZb2e0UUs9F\nyc0tK7iPtMfMvqTkrmFKKx3clH35OHBGicUP5kfEzUXX7EVaEW1RcWEzs3ZxAmNm1jfVMum6x7IR\nMVXSw6RkYB9SsrKC9Mv8VcB/FpW/TdJy0gT7o0grgs0CjiPtGVPqHudIWgVMJiUFL5J6My4C/lKq\njRFxkqS7SZPmDyStIPYSaanmf6X7viVdm3aWfdQy7ZpN2r/mU8AgYClpf5RbytQzg5TALCJtDFqr\n20k9TxPovqdM2bZWKLMe0LVq2eQy5X8F3Fzw9QHA+4FLq7iXmVnLeB8YMzNrmYJ9Z8ruT9LpJJ1I\nWjb5vIj4dp11XAmcBGzTrt4PSTcCnwW2johllcqbmbWK58CYmZk1SbZi2WmkvXOua6CqS0g9V2c0\no121krQ1qQfoe05ezCxvnMCYmZk1SNK+2Vyhe4Edge9HRLm9cCrKlqW+DDhBUq+sSFbBWaQltC9p\nw73NzHrkIWRmZtYy2RCyz5GGJfWZIWSSLgLOBpYDtwHfiIi/t7dVZmZ9kxMYMzMzMzPrGB5CZmZm\nZmZmHcMJjJmZmZmZdQwnMGZmZmZm1jGcwJiZmZmZWcdwAmNmZmZmZh3DCYyZmZmZmXUMJzBmZmZm\nZtYxnMCYmZmZmVnHcAJjZmZmZmYdwwmMmZmZmZl1DCcwZmZmZmbWMZzAmJmZmZlZx3ACY2ZmZmZm\nHeP/AXFazyisKOY9AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x114bff190>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 273,
       "width": 408
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "Pfactor = [0.1, 1, 10]\n",
    "P = kat.l1.P.value\n",
    "for factor in Pfactor:\n",
    "    kat.l1.P = P*factor\n",
    "    result = kat.run()\n",
    "    loglog(result.x, result['PDsens'],\n",
    "           label='{0}*P'.format(factor))\n",
    "    \n",
    "xlabel('Frequency (Hz)')\n",
    "ylabel('Sensitivity ($\\mathrm{m}/\\sqrt{\\mathrm{Hz}}$)');\n",
    "legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that (basic) LaTeX is supported in figure labels!\n",
    "\n",
    "Now how about we add some squeezing? This works via the `sq` command, which needs a squeezing frequency (relative to the carrier), a squeezing strength in dB, and the squeezing angle."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "kat = finesse.kat()\n",
    "kat.verbose = False\n",
    "kat.parseKatCode(finesse_code)\n",
    "kat.parseKatCode('sq SQZ 0 10 0 nout')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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v5efna+V/+umn8nuib9SttLfffpuEEOTl5aX1Hhli6ncKasEIDC+jXA/ZWtgi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\nbFjASJIkSRob/w/lrgW3V8IOnQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x114c08e10>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 273,
       "width": 408
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "result = kat.run()\n",
    "loglog(result.x, result['PDsens'], label='10dB ampl sqz')\n",
    "\n",
    "kat.SQZ.angle = 90\n",
    "result = kat.run()\n",
    "loglog(result.x, result['PDsens'], label='10dB phase sqz')\n",
    "\n",
    "kat.SQZ.angle = 45\n",
    "result = kat.run()\n",
    "loglog(result.x, result['PDsens'], label='10dB @ 45deg')\n",
    "\n",
    "kat.SQZ.db = 0\n",
    "result = kat.run()\n",
    "loglog(result.x, result['PDsens'], 'k--', label='no sqz')\n",
    "\n",
    "xlabel('Frequency (Hz)')\n",
    "ylabel('Sensitivity ($\\mathrm{m}/\\sqrt{\\mathrm{Hz}}$)');\n",
    "legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Using some more advanced tools, you can even get interactive:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "nosqz = result['PDsens']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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dynHHHUdZWVkicUOAO+6ATTaJN0a7+OJEwkqSJOUVi4NqqtjWOoRAJpNJO516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\nAVW0tq6fUksVrW6GEG4CvgkcEWN8p2DvQJWqKHUzxlhDWlM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      "text/plain": [
       "<matplotlib.figure.Figure at 0x11547fa10>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 259,
       "width": 387
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from ipywidgets import interact, IntSlider\n",
    "\n",
    "kat.SQZ.db = 10\n",
    "def plot_sqz(angle):\n",
    "    kat.SQZ.angle = angle\n",
    "    result = kat.run()\n",
    "    loglog(result.x, result['PDsens'], result.x, nosqz, 'k--')\n",
    "    ylim(1e-19,1e-15)\n",
    "\n",
    "interact(plot_sqz, angle=IntSlider(min=0, max=90, continuous_update=False));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Final words\n",
    "\n",
    "This concludes our short introduction to _PyKat_, now go ahead and explore!\n",
    "\n",
    "Good references are:\n",
    "\n",
    "  * the built-in _Finesse_ help: `kat -h` and `kat -hh`\n",
    "  * the _Finesse_ [manual](http://kvasir.sr.bham.ac.uk/redmine/attachments/download/131/Finesse_2.0_manual.pdf)\n",
    "  * the [`CHANGES`](http://www.gwoptics.org/finesse/download/CHANGES) file (as the manual is not always up-to-date with the latest additions)\n",
    "  * unfortunately, _PyKat_ itself isn't as well documented, but there are many [examples](https://gitlab.aei.uni-hannover.de/finesse/pykat/tree/master/examples) available\n",
    "  * also, the Birmingham group is constantly adding to their very helpful [Laser Interferometry Tutorial](http://www.gwoptics.org/learn/index.html), which introduces and makes heavy use of _Finesse_ and _PyKat_\n",
    "  \n",
    "And if you are stuck: ask others! There are tons of _Finesse_ and _PyKat_ files around, and it's quite likely that someone will have solved your problem already. There's also a _Slack_ chat/messenger channel for _Finesse_ and _PyKat_ where the developers hang out regularly - ask for an invite if you're interested."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
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  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.12"
  }
 },
 "nbformat": 4,
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}