{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this post I'm going to tackle the question of how to go about taking the Fourier transform a stream of data when you aren't allowed to keep any more than the most recent K data points in memory, but must be able to estimate the spectral power at frequencies much lower than 1/K. \n",
    "\n",
    "<!-- TEASER_END -->\n",
    "\n",
    "You might be wondering in what situations I would care to do such a thing. Normally if you want to decompose a long stream of data into its component frequencies you would take the fast fourier transform (FFT). The transform takes just $\\mathcal{O}({\\rm N})$ memory and just $\\mathcal{O}({\\rm N~log(N)})$ operations to compute and gives a perfect lossless version of the information in your original data. \n",
    "\n",
    "But what if you don't have the memory to keep all ${\\rm N}$ points available for the FFT computation? Or even if you technically have the memory available what if you only want the FFT of the most recent $K$ points of a real time stream. If you recompute the FFT for each and every new time point then suddenly even the relatively low computational cost of the fast Fourier transform starts to look kind of expensive taking $\\mathcal{O}(Klog(K)N)$ time to compute over the lifetime of the process. Whereas a <a href=https://www.dsprelated.com/showarticle/776.php> sliding DFT </a> will take just $\\mathcal{O}(KN)$ time to compute. \n",
    "\n",
    "To give you a little motivating context I am developing this technique with a specific application in mind. A little over a year ago I was playing with different ways of sonifying the training process of a neural network. That turned out to be a deeper rabbit hole than I wanted it to be and the post never made it into a publishable state. To do this I wanted to estimate the frequency spectrum of the updates to every parameter in the network which even for relatively small networks is millions of parameters. Keeping the historical parameter values around for each and every batch is obviously a little memory intensive (to put it mildly). I decided it would be ideal if I could keep a streaming estimate of the spectral update signature, so I started developing the streaming update techniques. I'm still not certain if they are really useful for network sonification purposes but I think the idea itself is worth a little exposition. Since I'm rescuing parts of old losts posts for <a href=blogging-blitz-2019.html> the blitz </a> I decided I would make a whole post devoted to the question of trying to keep a spectral summary of a continuous valued data stream updated one point at a time."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import scipy.signal"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "plt.rcParams.update(\n",
    "    {\n",
    "        \"figure.figsize\":(12, 6),\n",
    "        \"font.size\":16,\n",
    "    }\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Generating a Chirp\n",
    "\n",
    "In order to make sure that the algorithms we explore are working properly it is nice to have a test signal which is simple enough to be able to see what the right answer is but not so simple that we can't see weaknesses in our spectral estimators. For now we will just make a chirp that begins at a high frequency and sweeps down to lower frequencies over time. \n",
    "\n",
    "We will use a log-linear frequency sweep since that makes for a good diagnostic chirp both from an algorithmic perspective and a human one. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "duration = 3.0\n",
    "t = np.linspace(0, duration, int(22050*duration))\n",
    "max_freq = 8000\n",
    "min_freq = 20\n",
    "f_of_t = np.exp(np.linspace(np.log(max_freq), np.log(min_freq), len(t)))\n",
    "dt = t[1]-t[0]\n",
    "random_start_phase = np.random.uniform(-np.pi, np.pi)\n",
    "integrated_phase = random_start_phase + np.cumsum(2.0*np.pi*f_of_t*dt)\n",
    "test_signal = np.sin(integrated_phase)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Validating The Test Signal\n",
    "\n",
    "First thing we want to do is to make sure that we did the job of generating our chirp correctly and that we in fact have a signal which is close to having just one frequency at a given moment and whose frequency sweeps from high to low in the way I expect. \n",
    "\n",
    "The standard solution to determining the component frequencies of a signal as a function of time is the Short Time Fourier Transform (STFT). In an STFT you divide the data up into short windows, multiply each such data snippet by a windowing function (more about this later), and take the fast fourier transfrom on this window. \n",
    "Lucky for us there is a nice fast and stable implementation of this in the scipy.signal module, which we will use to analyze our test signal."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_spectrogram(\n",
    "    frequencies,\n",
    "    times,\n",
    "    spectra,\n",
    "    ax=None, \n",
    "):\n",
    "    if ax is None:\n",
    "        fig, ax = plt.subplots()\n",
    "    \n",
    "    im = ax.imshow(\n",
    "        np.abs(spectra),\n",
    "        aspect=\"auto\", \n",
    "        origin=\"lower\",\n",
    "        extent=[times[0], times[-1], frequencies[0], frequencies[-1]],\n",
    "    )\n",
    "    cbar = plt.colorbar(im)\n",
    "    cbar.set_label(\"Fourier Magnitude\")\n",
    "    ax.set_xlabel(\"Time [Seconds]\")\n",
    "    ax.set_ylabel(\"Frequency [Hz]\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
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y5x6UNRuVkVZti4iIiEiBVQCN3VwbTrA3MLKiDLAB3P0h4KEsbVqAb4dHT+0SBEH45RGeewObBvG9csDiRWy3opHZdXv3tSsRERGRwvOS3uT4CnAywdLidMcBL+TSWdEG2APdQYsXMeX1N5h72MRCD0VERESkz0o8i8gVwB1mBvCn8NwkMzuJILPIjFw6U4CdZ5XrnTEvwhPb78m01xcwseYNHj1xD+LNY6lo3IrqVU7tyk6qVmwg/n49yXXrSba2QiyOxSyo7phMBJ1Z+I9Y1R1FRESkCJRqgO3ud5nZ14CZBPvvAP5AsGzk6+6eaWa7W8WaRWTAe2PMNrw3YiRHzV+QvbGIiIiIFJS7/5JgM+N0gixyxwHbu/uNufalGez+Ysajk3bns3P+zg5r1rC8enShRyQiIiLSa11p+kqZuzcRZJLrEwXY/eiJ3SZxxFuvMby5heXVhR6NiIiISN94CQXYZpZTbmt3fzJqWwXY/Wh9TQ3f+OxZmENchR1FRERkgCuxPNhPEOzdhKCwTLZNb+n5sbulAHsLqOjoYMy6JurjIws9FBEREZFe8dJL0zc15ecRwDXAfOBW4H1gK4Iih7sT1GKJrNsA28wuznmYgRvdfWUv7y1Jl915F/F256Lpny70UEREREQEcPfZXT+b2e+Ah939S2nN/mBmNwGfBO4jop5msC/JYYxdHLgfUICd4u+7fYhzHpvNuDXvs5KxhR6OiIiISK+U0hrsNCcBp3Vz7TaCWe3IsqXpOxQoj3hUQ2ktzMmXWRMn0l5WxtELXyn0UERERER6Kcgi0tujyMWACd1c25Uc1l93ddadpUCzuyeiHAQ12pcCbbkMYDBoqqriqQm7cdjbr1PdoT+PiIiIDEzu1uujyD0A/NjMTjWzOICZxc3sNOByghUakXW7RMTdx+XSkbsngZzuKUmNzYy49XlGjhgOY0fRuv0wNmxTzmPj9mba6wvYtWoRs46ZSLxtBOUNdVR/4NS+n6Cyvp34++thzTqSjY14IoHF40FlR0PVHUVERKSgSrxU+jeAHQiWg3Sa2VqgjiBWfiq8HpmyiGwhi0ZvzbdPO4tFO4wq9FBEREREJIW7rwYOM7OjgYOBbYAVwBx3z7nwTKQA28zeAF4FPufu69Ou7Q3c7u4fyvXhg82S0WPANPMsIiIiA5CX/hfo7v4I8Ehf+8m2ybHLBOAY4B9mlr4MpAoY39eBDBZfmP0kX3vksUIPQ0RERCRnSazXx2ASNcAGOAtoBZ4xs4/003hKXlkiwUcXvMrwZpV2FBERkYHDKd1NjmaWNLNET0cu/eWyBvtdYApwC/CYmX3R3f+Uy8MEHpy8Nx97eR7HLPgnd+92cKGHIyIiIiJwKZuXSh9FsIKjEvhdLp3ltMnR3VuAk83sxwSVbXYF/pZLH4PdeyNH8tLOO3HcP+dx364HkNuXCCIiIiKFMiDyWfeKu1+S6XyYsu8+YH2m693pVXTn7ucDZwPnE9Rtlxzct89k6pqaOGjJW4UeioiIiEhk7r0/BqKw1sv1wH/kcl+v0/S5+x/M7G3grt72MVi9uPNO3H7AQSweNRbaCz0aERERkWiKfS11P6kERuZyQ9QAuzyM4Dfh7k+Z2YcI1qhIRB6L8aeDP0J5g1H9wQD9SCciIiKDSjATXZoBtpntmOF0BbAHMBN4Ppf+IgXYmYLrlGvrgHW5PLTUeWcnifp12Lr1lL+WYGRZObERw6FuGB3bDGPDtpU0jzV2bl/OTi3v88C0vbHOasqaa6hctw3VHySpWdVJ5ftNxFevxxs3kNjQBIDFgn/Ynkhs+n2L2cD9/kVERESksJaw+SZHCOppLwL+LZfOug2wzezGHPpxd/9yLg8WOPSthUx/fR5PT5zA+sohhR6OiIiISI9KdZMjwd7C9AC7FVgKPNfTZHMmPc1gz8jwoLFAPdCZdt4BBdg5emiPyXzs1Zc4bt4/ufXAQwo9HBEREZEeleqX5e7+u3z2120WEXff2t236TqAHQimyaenng+PbfM5qMFixYg6nt95HMfNe4WyRE4fjERERES2uBIuNPO2me3dzbU9wsQekeWSpq9EP7MU1v2TJzO8uZkpb7xR6KGIiIiIdMvpfXBd7AE2sDNBtpBMqoCdculMVU4K7OUdd+S1bbelPJG+6kZEREREtqDuJpP3J8eEHgqwC8xjMf7rjFN5ZI89Cz0UERERkR55H44ozGwHM7vDzNabWYOZ3dVNCr3u7p9oZreb2WozazGzhWb2zW7afsvMlpnZsnCI93X9nnJ8AFwH/DXqGKAPhWYkj8ywZJLdVr7PkiotZxcREZEi1M95sM2sBngcaAM+FzyRy4FZZraXuzdluX//8P4ngC8RlDffFeguVdvbwGPhz58jyHX9QVqbNuBV4Ne5vJee0vQdnnYqHr7ua2abDdTdn8zlwbKpE19+mS8+MZvvHvs51lBX6OGIiIiIbK5/d+SdA+wC7ObubwGY2SvAmwTZ6q7q7kYziwG/Bx5z90+kXJrV3T3ufg9wT3g/wKXuvriP7wHoeQb7CTL/GW9MO2/h7/EMbSWiWRMn8pm/P83HXn+BP4w/qtDDEREREdnSZgBzu4JrAHdfbGZPAyfRQ4ANHAlMAr7Smwe7+xd6c193egqwj87ngwadZCL4GsUd72gnsaYeW7uW2FvOMKBu2BAYPZLOrYbTvHUlrXXVPDF+d6Ytms9Nxx/C0n1ribePoLyhjvINUL06SfWqDio/aCa2poHk+gaSTc1ASnXHpIMnNyaptPBrnFJNWikiIiJbVD9nA9mdcEY5zQLg1Cz3Tglfq8xsLrAfsBa4Ffieu7ek32BmFwO/dvfl4c89cXe/LEubf+k2wHb3x7q7Jv3jgd335eg3X+GEl17mlimHFno4IiIiIpvo5zm7kQRBcbp6yLp+tmsT223AtcB/EWT/uJSglssnMtxzCcHmxeXhzz1xoO8Btmx5K4fVMXf8ePZZuoxbDv0IweobERERkcJz+jyDPdrMnk/5/UZ3vzHDY9JFeWhXZrxb3L1rNvoJM4sDM81skru/usmD3GOZfs6HnjY53gj8yN2XROnIgtXhNwCXufs7+Rne4HP91KNoGFaxcXmHiIiISDFwoG8B9mp337+H62sJZrHT1ZF5ZjvVmvD1kbTzDwMzgckE2UC2iJ6i9S8CY3LsK9d7JM2Gqmo8FqOisxNLJgs9HBEREZEtZQHBOux0k8geHC8IX9NnwLs+EUQOqsxsrJntmH5EvR96XiJiwDVm1hB1PLk8WLq3XX09M2+7nV8dNpVnt/5woYcjIiIiAvT7Gux7gSvNbBd3fxvAzHYGDiVYU92ThwhyVh8L3J9yfnr4+vxmd6Qws2HAz4HT6b5keuSMeT0F2P8g+BRQHbWz8J7GHNpLBstHjGBDZSUnv/Aczx6/G/rsIiIiIkWhfwPsXwFfB+4xswvZuLHwHYJlyACY2U7AIoK81ZcCuPsaM/sxcFE4Ofw4wSbHi4Hfp6b+68Z1wMnATcA/CYL1Xuspi8iU7q5J//JYjDsPPIBv/PUR9nl3CfPrxhV6SCIiIjLoWb+m6XP3JjObBlwN3Ewww/gY8B/uvmGTgQSzyelLnS8lmOj9GnAesAK4gmjZP6YD33H36/r0JkLKIlKkZk38MJ96ei4nv/wM84/cudDDEREREenvGWzcfRnBTHJPbZaQ4et9d3eCYjQ9FaTpjgELe3FfRnlNSSL5k4jHuXvf/dlt1XJ2qX+/0MMRERERKWW3AifmqzPNYPen1J0AKZUdARING7ANTdjby6j1JEMrK4mNGE5ydB3tW9XSvFU5T43ck3dnjGb+LmNJVAKUE28fQVljHZXroHpNkuoPOihf30Z8TSO+roHkhia8ox1i8Y0VHhOJTcdipuqOIiIikhvv90qOhfQw8DMzGwo8SFDcZhPu/njUzhRgF7GOsjIWjN4BLCyBrtzYIiIiUkilOz/XVaJ9HPD5lPNOsHzEyVMWESkSn57zD8Y0reeq448t9FBERERkUCvZyb6p+ewsUoBtZkPSdm/KFnbEa69z+4EHsHzY6EIPRURERKSkuPvsfPYXdZPjSjO7wcz2yefDJZr7Ju9DW3kZpzz3XKGHIiIiIoOZ9+EYRKIG2D8DTgCeN7PnzOxsM6vpx3H9i5kdb2ZPmtkGM2sws+fDHIld1+vM7NdmttrMmszsUTPbM0M/VWZ2hZmtMLMWM5tjZodnaBczs/PNbImZtZrZPDPrMV1Mf2usruZve+3JEa8vZOt16wo5FBERERnMSjTANrPHezgeNbM7zey/zWyrKP1FCrDd/UJgR+BUgl2VvwKWm9k1ZrZHr99NFmb2ZYJF5y8AnwiffztQE143grKaxwL/TpA3sRyYZWbbp3V3E3AOQUWfEwiSj//NzCantbsMuAS4FjgOmAvcbmbH5/nt5eSu/fenMxbjlOefLeQwREREZLBywK33R3EzYDfgSGAnoCp8PRKYSLD58SJgvplNytZZ5E2O7p4A7gLuMrNdCILVLwBfM7M5wC+B29y9I4c3062w9vzPCKrq/Czl0t9Sfp4BTAGmufus8L45wGLgu8A3wnN7A58Gznb334bnZgMLCKr+zAjPjSWo/DPT3a8MnzHLzCYAMwnSthTE2iG1XHv0Ubw9cutCDUFEREQGuRLO8nsVQdy5n7u/1HXSzPYD/g/4AcGE78PADwkmfrvV20Iza4DlBLPZBmwN/B54y8wO6WWf6c4GkgSBe3dmAMu7gmsAd18P3AeclNauA7gtpV0nQVLx6WZWGZ6eDlQAt6Q95xZgTzMraM3yJyZN5L2RIws5BBEREZFSdDlwSWpwDeDuLxAE15e7+7sEpdc3W2KcLqcA28wOMrPfAO8BPwKeBvZ19wnAnsAy4MZc+uzBFOB14AwzW2RmnWb2lpn9W0qb3YH5Ge5dAOxoZkNS2i129+YM7SqACSnt2oC3MrQDyPqVQH8b09DAeY/dx9aNaws9FBERERlsSnQNNvAhYHU31z5gY6y4CKjN1lnUNH1fBb5MEES/AVwA/C6cLQbA3V81s4uAR6P0GcG24XEF8N8Eb+hU4FozK3P3nwMjgSUZ7u2qvlMHbAjbZYpIu9qNTHldF9ay76ndJszsXOBcgCp62PvZQ2XHZFsbyVWrsdVrKHvVGQbUDRuC1Y0gObyWtrE1NI8pIzakjH3fXUxLTRlXnTAdKCfWUUFZ8zDKG7ejqt6pXpOgck0b8TVNWFML3tBIsrkZTySweJAj3ZP+r3GkvJHNxykiIiLSpfjXUvfWEuBLwEMZrp3LxnhzNMFKjh5FXYP9c4JlF//p7o/10O5N4McR+8wmBgwFPu/ud4XnHg/XZp9vZr9gY2WddOn/6+e73Sbc/UbCmfthNrJfo9OGqloemjSZE159gdvqD9CSEREREdlirHTn4C4FbjGzV4A7gVXAWIIEGnsQ7OUDOAp4JltnUZeI7OzuJ2cJrnH399z9ooh9ZtP16eCRtPMPA1sB2xDMLGeKMOvC165Z62zt6lNe68LsJD21K6h79t6Pjnic0+cqo4iIiIhsIX1ZHlLkgbm7/5kgK90GgpUT14WvjcAx7n5r2PTbwOnZ+osaYNeY2ZRMF8zsUDMbH7GfXCzo5nxX8JsM2+yeoc0kYFlK9ckFwLgMubsnAe1sXHO9AKgE0t9P19rrV6MNvX+tr67lwb0mc/jChWxXXxQxv4iIiMiA5u6PuPtHgGqCBB7V7n6ouz+a0qY1Ssa8qAH2z4FPdnPtE8DVEfvJxV/C1+lp56cD77r7SoIc2NuZ2RFdF81sGHBieK3LvQT5sU9NaVdG8AnkYXdvC0//lSDgPjPtmWcB8919cZ/eUR79Zd/9uPOA/Wmori70UERERGRQ6EMO7AG0dtvdk+6+yt2Tve0j6hrsA4Aburn2BPCZ3g6gBw8Cs4AbzGw08DZwCnAMQf5tCALnOQRrZr5DsCTkfIJZ7p92deTuL5vZbcDPzKycIE/2VwmShp+Z0m6VmV1NsMa7EXiRIAifxqZp/wquoaaGm6ccCkAsL5nHRURERLIo8qUefWFmFQRFBncjKDSTyt39sqh9RQ2whwGt3VxrB4ZHfWBU7u5m9nGCTZM/IFgH/Tpwprv/KbkMK7sAACAASURBVGyTNLMTgCuB6wn+GHOAqe7+TlqXXyBIDH45MAKYBxzr7i+mtbuAYP3NNwm+HlgInObu9+X7PebD3kuXsd+ipdyy3xHZG4uIiIj0RYkG2Ga2LfAUsDPBu+yack99x5ED7KhLRN4GpnZzbSqwNOoDc+HuDe7+b+6+lbtXuPteXcF1Spt6dz/b3Ue6e427f9Td52Xoq8Xdv+3uW7t7lbsf5O5PZGiXcPfL3X0nd68Mn3lHf7y/fBj//vt8/MUXmLji3UIPRURERGSguoIg3/WOBMH1QcAuBJOzb4U/RxY1wL4F+LaZfTlcYoGZlZvZl4FvAX/I5aGSP/fvM5m1tbWc9exTyl8tIiIi/atEs4gAhwH/Q1CpHCDp7kvc/WLgDuAXuXQWNcD+CUHi7f8Fms1sOdAU/v4gMDOXh0r+tJeX8+eDDubDK5ez73tFswdTRERESo1TypscRwHLw42NTWxM0QzwOHBkLp1FWoPt7gng42Z2DHB0OIjVBBk48lW5cfBJnXF2B9+0umOiYQO2oQnegfJEghHxOCOH1GIjhpMYNZS2MTW0jI7zzJA9OHnoC5z+6t/5xud2ZE1ZDOusId5WQ7zFqGiAqrVJquoTVKxtp6y+CVvfiDe3kGxpxTvaIRbHYsE/fk86eHLT8anKo4iIyKBXwoVm3iWo0ghB9fBj2Fid/EC634uYUdRNjgC4+8MEhV6kiCRicX5/4BGMSDb2XHJSREREpC9KN8CeBRwB3E2QOe86M5sMdBCkiO4um15GOQXYAGY2ks1Tl+DuyzM0ly3k+R3H0zHUScZK91++iIiISD+5kLDqt7v/b0q9lBqC1M+X5tJZpADbzIYCVwFnhA/KJJ7LgyX/LJlk+ivzaSuP88RumQpcioiIiEg6d19NsPy56/drgGt621/UGexrgdOA3wH/BNp6bC0F4WZMeeMNdv7gA57baTytttkXDSIiIiK9VsJrsPMqaoB9HPDdMJqXYmXGbw4/jKv++CdOee45bjnwsEKPSEREREpJ8WcDiczMcln24e7+/aiNowbYMeC1HAYhBbJ47Fge330SJ778Eg9/eC/WlI8o9JBERESkFAyMfNa5uJBNqzb2xIHIAXbUPNj/B3wsaqdSWH889BCSZnxmzlOFHoqIiIhIsWoCNgC/Baa6e6yHI6e9hlFnsO8HfmFmtQSFZerTG7j7k7k8WPrPmqFDuemII1hTObTQQxEREZFSUloz2FsBJwOfBR41s3eBm4E/uPtbfek4lwAbgjrsX2LTP6+FvyuLSD6kFnJJhoVnwvPe2bmx+My7UJFIUBmPY5WVxEYMx0cMpWN0DS2jK3hm5F60jTA8Dk3bOY3jAIsHBWhaayhvGktZM1Ssd6rWJais76BsbQuxxia8YQPe1kaytS0oOGMxFaERERGRktrk6O7NBAH1zWa2PXBWeFxoZs8AfwBudfe1ufYdNcA+OteOpfDKE52c/uwc3tx+LE9N2rXQwxEREZGBroQC7FTu/i4wE5hpZvsRTCj/AjiKYJY7J1FLpT+Wa8dSeJ2xGPu8s4RDlyzkmQ+No6M857pCIiIiIoOGmR0IfAY4haCK40u96SfqJseuh9aZ2bFmdqaZ1YXnynvzYOl/bjF+f/ARjG1o4KQXXiz0cERERGSg8z4cRcrMdjKzC8zsdWAuMBn4b2Abd7+8N31GDrDN7MfAcoJNjn8AxoWXHjCzC3vzcOl//9xuR+aOn8BpzzzLqMbGQg9HREREBijzvh3Fxsy+ZGazgUXA54A/A+Pd/TB3/5W7r+9t35ECbDP7HvAt4MfAoWyaL/A+lMKvqP3msMOJufP5J5W2T0RERPrArfdH8bkR2Jtg4ngm8A4w1czOznTk0nHURbnnApe5+w/NLD1byJvAhFweKlvWqmHDueaYo3h77NhCD0VEREQGsiKcie6jYcDnw6MnDvwmaqdRA+ztgX90c60dGBL1gVIYsydOBAPrJEynV5SfJEVERES2lHHZm/RO1AB7ObA7MCvDtT2BJfkakPSfis5O/uPBh1k4elseHr9voYcjIiIiA0wxrqXuLXdf2l99R93keAdwsZkdlHLOzWw8cB5wW95HJnnXHo9T29rGp56dw/CWpkIPR0RERAaaEswi0h+izmBfQrC58R8EOy0BbgV2BJ4j2Pwo/SG9OmJXdcfwvHd24okEyZZW7P1VxF5zapMJhlZVYUOHYrXVJOqG0jGyitZR5dy685HMXHwzZ8x7imuOPYYNOzkei2GJSmIdVZQ1j6R8A5Q1O5XrnYr1CSrWtRNf34I1NOFNzRurPCYTEItvWuUx+EGVHkVEREpNkWYDKUaRZrDdvQk4nKCqzYvAE8ArwNeBj7p7W38NUPJrxdCRPDBxX6YtXMCHVqwo9HBERERESk7kPNju3unuv3X3M9x9mruf6u43uXtHfw5Q8u+OvQ+mvnYIn/mH0vaJiIhIDrREJBLVzh6EWssr+Mn0Gbw/amihhyIiIiIDSYkGymY2HGjN16qMSAG2mb1Jz39Sd/fd8jEg2TLeGrs1yUrHkglq2ttpLq8q9JBERESkyJXiGmwzKwPWAJ8gKKDYZ1FnsJ9h8wB7FHAw0AA8mY/ByBbmzg/u+gsdZXEum3ESyo0tIiIig427d5rZ+0AiX31GCrDd/axM581sJPBX4IF8DUi2IDOeHzeOs598kkPffJM54/QlhIiIiAxKtxAk83gwH531aQ22u9eb2U+BS1Eu7AHp/n0mc+Trr/GlJ2Yzb9udaUdLRURERKQbJbhEJLQE+LSZPQfcA6wg7d26e95LpfekmSAftgxAyViM647+KFf+8TbOnPs0vz3go4UekoiIiBSj0s6DfV34uh2wX4brDvR/gG1mMWAScDHwWm/7kcJ7a+uteWDvvdl38VLK9+lEyWVEREQko9INsMfls7OoWUQ62PxPGiPYFbcB+Fg+ByVZpFdEdAfftMJjsq0N2juwtQbvQlnSGeJJhlVXY7W1MHwIPqSajroq2urKuX/UFO4cdxgd8TI6xzheBskygDiWqCHeXkO8eTTlzUGVx4pGp3J9gvKGTsoaWok1tuBNzdDWRrKlFW9vD8ZmseyVHkHVHkVERLphMcvj9rs+KtH/TLv70nz2F3Wq8ids/idtBZYCD7j72nwOSra8trJy2suMis4OJi9exnO77lLoIYmIiIhsUWa2F0H18lHADe6+0swmAO+7e2PUfqJmEbmwd8OUgeaUl57hpPnP8b3Tz2Dh9lsVejgiIiJSJIzSXYNtZpUEmUQ+SfBWnSAn9krgp8AbwH9F7S9yqXQZHO7e+wDW1tTy7488THlnZ6GHIyIiIsWkn0ulm9kOZnaHma03swYzu8vMck6mYWbnm5mb2VMRb/khcBTwGWArNi0O8hAwPZfnR12DfWMOfbq7fzmXQUjxaK6o5LppR3Hx/Xdz+txnuGXKoYUekoiIiBSDfs4iYmY1wONAG/C54IlcDswys73cvSliP7sAFwCrcnj8p4AL3f1PZhZPu7YY2DmHviKvwT4OGAoMA5LAWqCOYAa8AUhdk1KiXx4MHi/tNI7HJ07ilOee5x+77sri0VoqIiIiIv3uHGAXYDd3fwvAzF4B3gS+DFwVsZ//Bf4I7Eb0WHcU3WfFiwGVEfv51w1RnEYQSJ8FVLv7GKCaYBq9ATjV3XcID+XELgG/OfwI5o4fT2tFeaGHIiIiIsWif5eIzADmdgXXAO6+GHgaOClKB2b2aWBf4PxIT9xoMXBIN9cOBBbm0lnUAPtq4Kfu/id37wBw9w53/yNwBfDzXB4qxW9DVRUzZ5zA8rq6Qg9FREREikX/Bti7A/MznF9AUHulR2ZWRxCzftfd6yM9caM/AP9lZmcCFeE5N7OpwLfIocgMRA+w96b7yH0hsGcuD5WBY0hrK9+7/34mLX+30EMRERGRAjPv/QGMNrPnU45z07ofSbAMOV09wdLkbK4gyPbxu168tZ8CDwA3h88DeAp4FPiru1+TS2dR16W8D5wCPJLh2qnktohcBpDOWIxdPljFNx79G+fN+AyduS1BEhERkVLSt512q919/148wTKc27SB2WHAZ4F93XOvWufuCeAMM7uOIGPIWGANQXA9O9f+ogbYPwf+x8y2Bm4nCLi3Ilib/THgP3N9sPSD1H9PqdUdU64lW1qgtQ1bG3xAjCedmmSC2spKYjU12JBafFgtiaGVtI+opG14Bb+aeCwXPfV/fOGZJ/jFscdsrPJocSwRJ9ZZRby1jngLlLVA+QanYoNT3pigoqGD2IY2Yo0t0NaON7fgLS0k2zsgmYBY/F+VHiFLtUdQxUcREZHStZZgFjtdHZlntlPdANwEvGtmI8JzZUA8/L3F3duyDcDd/w78PfqQM4taaOZqM2sGLgJOTLm0HPiqu+eSxk8GmDdHbcvdux/IJ159hmd3Hcec3XYt9JBERERkS8shn3UvLSBYh51uEvBqlnsnhsdXMlxbS7CO+md9Gl0Oos5g4+43mNmvgJ2AbYAVwFJ3T/bX4KR43LnXwey9ajGffmYOc3cdT4Rva0RERKTE9HMlx3uBK81sF3d/G8DMdgYOJXsVxakZzv0MiAP/DryVftHMEsAh7v6smSXp+eODu3vkuDlyw7DnJEEak8W53CcDX2c8zpUfPYGmoeV4LIbSnYuIiAxC/fuf/18BXwfuMbMLw6ddBrxDsAQEADPbCVgEXOrulwK4+xPpnZnZOqAs07XQpcC7KT/n7d1FDrDNbC/gQuBwgvUxB7v7i2Z2OfCkuz+cr0FJcVo1bASd1Y4lk3x4+Qpe327bQg9JREREtqD+nMF29yYzm0aQau9mgq/LHwP+w903pA6DYGY6aja87p73g5SfL+lLX+kiDczMPgI8Q5Cu7y6CN5XaR6b1LnllZn8Na8pfnna+zsx+bWarzazJzB41s83SBppZlZldYWYrzKzFzOaY2eEZ2sXC+vVLzKzVzOaZ2cn9+d4GmtOffYYf/d8dTFi5stBDERERkRLi7svc/WR3H+buQ9394+6+JK3NEne3bEGxux/p7lOyPdPMKsys3sxm9G30G0WN/H9C8AliIvANNl2A+zywX74GlImZfYoguE8/bwTrdY4lWF9zMlBOULN++7TmNxGU4LwYOIFgDfnfzGxyWrvLgEuAawlKxM8Fbjez4/P1fga6+yfvQ31tLd+9/yFq2rJuyBUREZFS0b+FZgrC3duBTqA1X31GDbD3A64L12Cn/4lWE6Ts6xdhapWrgW9nuDwDmAJ8xt3/7O5/Dc/FgO+m9LE38GngW+7+K3d/jCDF4DKCNTdd7cYC5wEz3f1Kd5/l7l8GZgEz++UNDkAbqqr4n+OPY2xDA1977DGlzBMRERkM+hJcF3+ocDdBzZe8iBpgtwHV3VzbGlifn+Fk9FNggbv/OcO1GcByd5/VdcLd1wP3sWnN+hlAB3BbSrtO4FZgupl1VU+ZTlAe85a059wC7Glm4/r4XkrGa9ttyx8/cgiHLXyDo17NVNVURERESon18ShyDwHHmdkdZnaWmX3UzKalHrl0FnWT41PAN8zs7pRzXZ9FziaY4c07M5tCUJVns+UhoZ5q1n/WzIaEi+J3Bxa7e3OGdhXABDbmXmxj81QuC8LXSSiDyr/cceD+bL1uPUtGjyn0UERERET64s7w9ZPh0cUJPh84m+5B7FHUAPtigiD7JYJKjg6cZWY/BQ4GDoz6wKjMrJwgJcuV7r6wm2YjgSUZznfVkK8DNtBzbfuufrpe12UosZneLn2s5wLnAlRR081QCyT9rXRT4dHb20l0dGKNjbAi+JdUkUhQAQyvrMRqgyqPyaG1JIdU0D68gvZhcf643TG0J41YGySqE7TXxUiWOR4HPI4l48Q6qom31RFrDyo9ljU55U1ORVOS8sYEZY3txJvaoa0da2rBW9vwtja8vR3v7AyqN1qs+4qPmd4nbKz62N11ERERyU3p/uc0Ux7tXotayfElMzsSuJJgA6AB/wH8A5jq7q/lc1Ch7xEsS/lhD226PlFkOt+f7TYRVrK8EWCYjSzdf3rdcefzz8xmaGczVx13bKFHIyIiIv2knwvNFIy7z85nf7lUcnwOOMLMaoDRwFp3b8znYLqY2Y7ABcCXgMqUNdKEv48AGglmlrurWQ8bZ63rgR17aFef8lpnZpY2i53eTlKZ0VBVzfEvvcjr223N/fulJ2YRERGRklCiAXa+ZQ2wzayCoMrNF939vnAd87J+HtcuQBWbbzaEIMvHecA+BGujj8nQZhKwLCUp+QLgE2ZWk7YOexLQzsY11wuASmA8m67DnhS+vpr7Wxkc/rLXAUxYu4Kz//4kb20zltd2UBEaERGRklOiAbaZPZ6libv7R6P2lzWLSJgb0MhjbsAIXiZYC5N+QBB0TyUIgO8FtjOzI7puNLNhwInhtS73EuTHPjWlXRlwOvCwu3clc/4rQcB9Ztp4zgLmu7s2OHbDLcYvpk3ng6FD+e4DDzC8KX0/qYiIiEjRirF54pPRwKHAh8gxEUrUJSL3EhRxeSSXznvL3dcBT6SfD+rKsLSrpryZ3QvMAW4xs+8QLAk5n+CP8NOU/l42s9uAn4WbJxcDXwXGkRJMu/sqM7saON/MGoEXCYLwaWya9k8yaKqs4ifHn8gP7rmTcR98wMs77VToIYmIiEi+eEmvwT4y03kzG0+QI/tHufSXS4B9rZndGj5kBWlfErj7k7k8OB/cPWlmJxBsvryeYFnJHIKNl++kNf8CwYbJy4ERwDzgWHd/Ma3dBQSZR75JkON7IXCau9/Xb2+khCwZM4YvffFsWqvKS/ZrJBERkUFrkP233d0XmdlM4AqC5cmRRA2w/xK+nhYeqX/enHMD9pb/K7fcJufqCXJxn53l3haCapCZKkKmtksQBOGX936kg1tbeTkAR/9zPm3xcp4e/+ECj0hERETyoVRnsLP4gGCZSGRRA+yjcx+LDGaWTDL11df40IqVrPrkCN4esU2hhyQiIiJ9NcgCbDMbSTA5uyiX+6LmwX6sN4OSwctjMX484wSuuuXPnP/AvXzvpE+zrmJooYclIiIishkzW8zmHx8qgK3Cn0/Opb9uA+yw5vqzKanupJRErPAIkGxrg/YObH0DsGmVR6uoIFZdhVVX40Nq8JpKOodW0jGsnPZh1fxiz5P4/lO38V8P3ccFHz+NljFxktsSVHq0GHiMWGcF1gmxDiPeCmWtUNbslDVDeXOS8qYk8dYEZU0dxJrbseZWaG0LKj6G1R69oxOSiYxVHyGs/NhT1UfYtPJjT+1EREQGqRJeIjKbzQPsVmApcLu7520G+xHgEOBZADOLEWT2+KK7v5nLQ2TwenfYaK455Di+/fS97LfsbZ6euGuhhyQiIiK94ZTsEhF3/3w+++spwM5URnwKoO/5JScvbD+eb33ic7w7diQl+/9MERGRwWAQ/GfczIYQVPGud/em3vSRtdCMSD4sHxFUtJ+4/D0OeVNfgIiIiEhxMbPpZvY8sA5YAqw3s2fNLOdkH1GziIj0nTtnPDuHD69cztqhJ/Pa9iqnLiIiMlAYpbsG28ymAw8QVAq/DFgJbENQcPBBMzve3SMXXMw2g72dme1iZrsAu6SfSz1yfysy6Jhx5fSPsXroMC68+x62Xbu20CMSERGRXHgfjuJ2CfAwMMndf+DuN7j7JcDuBPsSf5BLZ9kC7DuAN8Pj9fDc3SnnUg+RrBqrq/nBxz9OMhbjkjvvZnhTc6GHJCIiIhGZe6+PIrc3cJ17V8qxQPj79cDkXDrraYnIF3Ifm0h2K0eM4PKTZvDD2+/g+HnzuO3AjxR6SCIiIpLNwJiJ7q02YFg314aG1yPrNsB299/n0pFILhZuuw3nnXkGS0eOwpLZ24uIiIj0oyeAy8xsrrsv7jppZjsSLB+ZlUtnyiIiBbNkzBg8FmN0QwOnPztXhV1ERESKnHnvjyL3PWA4sNDMnjSz28xsNsEy6BHh9ciURUQ2lSnI7aHKo7e3k+johIYN2AfB9VjSqfQklWxa6ZGqSpK11SSGVtI5tJyOIXHaa2NMf+d1Tn91DpXNSf74kUNpGep4GXjc8ZiBxzGPY52VWALibUasPaj4GG914m1Q1uKUtyQpa04Sb+4k3tJBrKUjqEDZ2o63tkJ7x8bKj4lE8D56qvxo//ql+79NF1WBFBGR/mJFNB9aov95c/c3zGwv4D+Bw4B9gXrg58DV7r4il/4UYEvB3bvbAYzqaOST856hYUgVd++/b6GHJCIiIhkMgJnoXguD6PPy0ZcCbCk8M3594DRqEq18fs5sGmsqeHSvPQo9KhEREUlXQgG2mU0DnnX3Dfnuu4i+c5DBzC3GNYcfy7ztduLY+a8QS2rno4iIiPSrR4BJXb+YWSxcf71rXzvWDLYUjY54GT+ZfiKUJUnGYpTUx2QREZGBbmBsVsyFZfh9CkFavj7RDLYUlbbyCporKynv7OR7993PHu+8W+ghiYiISJfSreSYVwqwpShVdXSwfX09F//lHia+916hhyMiIjLoGSWdpi+vFGBLUWqsruaiU05m9ZAhXHLX3Xx4+fJCD0lERERKz3ZmtouZ7QLskn4u9cilUwXYUrTW1dZy4Wkns7a2lu/fdTe7rlxZ6CGJiIgMbu69P4rTHQTFZN4EXg/P3Z1yLvWITJscpajVDxnCBaeezPn33k9HPF7o4YiIiAxqJbbU4wv91bECbImuhyqPwY9ZKj2G1RJjQHkiQbk7tWVlWEUFVlmJVVZAdRXJ2mqSQyrorCmnszZOR+1QfrzHp+hsMqoSUNfZwKpRwzZWfIw5HiOodOUxLFmGdVYTS4B1BlUf4+0Qb4V4m1PWCmWtTrw9SbwlSVlrglhLJ7HWDqy1A2vvgI5OvL0DOtrx9g48kcA7OiEZvNfuKkBCL6pAdlE1SBERKWYltlnR3X/fX31riYgMDGHwOf2NeVz9lz8wabmyi4iIiGxpluz9MZgowJYB5dkdJrC6digXPXgX+yxdUujhiIiIiGxGAbYMKGtrhvD9407lvRF1/PcD93LgokWFHpKIiMjgoTzYkSjAlgGnobqG759wKotHj+E7Dz3AqMbGQg9JRERkUFAe7Gi0yVEGpKaqKr7/8U8y8f33WDO0zxVNRUREJBtHG/Aj0gy2DFgtFZW8MC7I+37Aorc5Y85c/R9fRESkH2kGOxrNYEtJ2HfJEo6f9wojG5v45dSpgHJmi4iISGEowJaScMO0qTRXVnLKM88xvLmZq44+noTpn7eIiEheDbKZ6N7SEhEpDWbcfNih/GrqERy8aBE/uPsuKjo6Cj0qERGRkmFoiUhUmuKT/OlNpcfOTjyRgNY2gH9VRjSgLOmUJRNUmWFl5VhFOVZViVVVQWUFyZoqkjXlJCvL6Kwto7M6xrPV+5DYvZbxDSuwhnLilZAsh/bhjv9/e/cdHkd1Ln78+84W9S5b7t244m5jqummBNM7JIEE0gM3pMDN/YUUuCkkkJvc3CQmlRgCCZBQY4hpLmBjMK7YcpebZFu9b5vz+2Nm5fValtaS5ZWl9/M88+zu7DkzZ45Wo3dHZ85bALYHiGZ+xM38aLxIJBWJgITBCglWGKwQThbIgMETAE/Q4A0YrJDB02zjCdhYgQhWcxgrGIagmwUyHHGyQIbDmHAYQiFMxHaO09jO8UezNh4lGyS4GSEPX9F2X7cmPjvksdZXSimVfEf5O3HCGaN/PxKkAbbqcZYPGsOy1LEgMKiqgjQTYOPg/slullJKKaV6CR0ionq0O1a8zXdffpaztmxKdlOUUkqpk54OEUmMBtiqR3vs3MvY0rcfX3v9X9y44j3915ZSSinVGZrJMSEaYKserT41je9fdi1vjh3PTSuW87WFC/GFw8lullJKKXVS0ivYidEx2KrHC3s8/O/5F7O3II+pu0qwj3bjn1JKKaWOzgDxN+CrVmmArXoHEZ6fMYvnZ87A9ghZjU0Mqahgw6BByW6ZUkoppXoYHSKiehXbcj7yty97l4f//hzzPlyl47KVUkqpROkY7IRogK16pT/MOZsVI0fwmbcX87V/LdSkNEoppVQCunoMtogMFpFnRaRGRGpF5HkRGZJAvRkiMl9ENolIo4jsEpEnRWR4Z4+5IzTAVr1Ss9/Pj664nAVnncE5xcX85G9P07e2JtnNUkoppbq3aLKZjiztEJF04E1gLPAp4HZgNPCWiGS0U/0mYALwC+BS4H5gGvCBiAzu+AF3jI7BVifO0X652sn2iDGYUBATDkFTM1BzWMZHyzb4jY3fGLA8iM+L+P1O5kefD1JTMCl+TJqfSJqPSJqXSKpFJMXindRZHJzUl+s3L8NUpeCPCBGfk/0xnG4wXjAWmGj2RxFnr8Zyvo3b4mSAtHGzPzqvYzNBWiGDJ+hkgrTC4AnaWEHjZIIM2lihCBKzEAojobCTETIchnAYIhFMxHayQhrjvo4c3k8iIM535qNlh2zp0rayRLb1s2pPIjeQ6pAcpZQ6JtKNbs7v4tlA7gJGAGOMMVsBRGQtsAX4HPBoG3V/bIw5GLtCRJYBO9ztfqdLWnwUegVb9Xpri4bznxfcSn1KGh47wlVrVupUfkoppdSJNw9YHg2uAYwxO4BlwJVtVYwPrt11JcBBYOBxbme7NMBWClquvJ66bxe3fbCEH/3zrwyoqkxyo5RSSqlupDM3OCZ25XsCsL6V9RuA8cfaXBEZB/QFNh5r3c7SAFupGKsHDefhi68mv6Gen/79Kc7d+LEOaVBKKaVwhmWKMR1egEIR+SBmuTtuF/lAVSu7rgTyjqmtIl7gNzhXsH9/7EfbOd02wBaR60TkOREpEZEmESkWkR+KSFZcuTwR+Z2IlItIg4gsEpFTW9leqog8IiKl7vbeE5FzWilnicgDIrJTRJpFZI2IXNuVx6q6l48GD+e+a29jW58i7vn3a3xy2dJkN0kppZTqHuxOBmtTTQAAIABJREFULFBujJkRs8xvZQ+tXdXqyCD0/wXOAG4zxrQWtHepbhtgA18HIsB/ApcAvwa+APxbxLmTS5xR/y+6738FuBbw4dxtGp9B5PccGuT+CaAUeE1EpsSV+wHwXZwfzKXAcuDvInLZcT4+1Y1VZmbxnSuv5S9nnMniMWMBENtup5ZSSimlOqEK5yp2vDxav7LdKhH5IXA3cKcx5vXj1LZj0p1nEbkibsD6OyJSCfwZOBdnGpd5wFnA+caYtwBE5D2cO0a/CXzVXTcZuAWno//ornsHZ0zP993tICJ9cQL7Hxljfuru9y0RGQX8CHi1y45WdTvGsnh+xixn9hAMX170Bk1+H0+cfRZBT3f+1VFKKaW6hnTtsMkNOOOw440HPk5kAyLybZwp+r5qjPnLcWzbMem2V7BbuxsUWOk+Ru8GnQfsiwbXbr0a4CUOv9t0HhACnokpFwaeBuaKSIq7ei7gBxbE7XcBcGqyJitXySe2TbPPxxWrVvPogqcYsf9AspuklFJKnVhdf5Pji8BsERkRXSEiw4Az3ffaJCJfBR4Cvm2M+WVCe+wi3TbAPoo57mP0btC27jYdIiKZMeV2GGMaWynnB0bFlAsAW1spBx24g1X1DMayePy8c/nuNVeR2Rzg0af+yu1Ll+l0fkoppXqRTiSZSezK9+PATuAFEblSROYBLwC7gd9GC4nIUBEJi8h3YtbdBPwcWAi8KSKzY5YTHr+dNAG2iAzEGc6xyBjzgbu6rbtN4dAdp+2Vy495rDbmiE9BfDnVS300fBhf/vTtvDF+HJetXkNOU1Oym6SUUkqdMF2ZKt0Y0wCcD2wG/gI8iTPs93xjTH1sMwAPh8exl7jrLwHei1v+r9MHfoxOioGk7pXoF4AwcEfsWyR2t+nxLhffvrtxBtOTSnpbRVV72vqG217GRwA7ggnamGCw1ayGYhu8gNfYTl3Lg3ii2R994PMjKX7wepzsj6k+7BQvdoqXSJqHSIpFxJ/CM/kX88ppZxIqyyTTB+eXrOWtMeNpTvU5WSDTDMbjZoH0AJbBuEkgwXI/ZR7EBoybDdLgPEYOZYOUiJMR8lB2SONkiAyDJ2Swwu4SMkjY4AnaSMjGCtuIuxC2ncyQkQgSjkA44mSCtG2IRCBiH8oMGYk4mSJtA8Z2Mj5G+woOz9QoVszTxG7wNrY5+m9TfDbJ1n6+nRXb/thjMubQe/HP4+tG39fpG5VSJ4p10lwP7TRjzC6cSSvaKrOTuL8mxphPA5/uqnYdq27/ExORVJxxNyOAucaYPTFvV3L0u03h0FXr9spVxjzmyZE5SePLHcYYMz865YyPlNaKqB6oJtUZgTS6opTPvv8GP3vhL5y6tyTJrVJKKaW6UNcOEekxunWALSI+4DlgFnCZMWZdXJG27jbdFfPvhA3AcBGJv7w8HghyaMz1BiAFGNlKOUjwDlbVu2wpHMB3L7oBAzy48DnufeNVchsbkt0spZRS6vgyIHbHl96k2wbY7lzXTwIXAFcaY5a3UuxFYKCIzImplw1cweF3m76IMz/29THlvMCNwOvGmIC7eiFOwH1r3H5uA9YbY3Z06qBUj7WxaBD3XfVJ/jb1dGbv2MKDLz3f676tK6WU6gX0CnZCuvMY7F/hBMQPAw0iMjvmvT3uUJEXcQavLxCRb+AMCXkAZ1zOT6KFjTGrReQZ4OfuVfEdOElrhhMTTBtjDojIY8ADIlIHrMIJws/n8Gn/lDpCyOPlb9NOZ/EpY8kKNYIIvnCYweUVbOvfN9nNU0oppdQJ0p0D7Evdx2+7S6zvAd81xtgi8gngpzh3iKbiBNznGWN2x9W5AydYfwjIBdYAlxhjVsWV+zZQD9wD9AOKgRuMMS8dl6NSPV5pbh57vbkAXLHmI25/dxmvT5rIgjNOpyZTb4JVSil1EutdF6I7rNsG2MaYYQmWqwTudJe2yjUBX3OXtspFcILwhxJqqFJt+Nepk8htauTyNR9xdnExz8w+jZemTSFseZLdNKWUUuqYdXEmxx6j247BVqonaPKn8Ps5c/jKJ29nw8CBfHrxEu5Z+Hqym6WUUkp1jI7BTki3vYKtVE+yNz+fH1x9JVN37qQm3RkmktPQSEF9AzsKdXy2Ukqpk4ABetlsIB2lAbY6ObWXkAbaT0oDTmIaY2PCIWh2JpOJT5oigGUbLGPji24jmqDGY4HP5ySp8XoRnw98XozPi/H7MCkebL8XO8WD7bco9w4mkmJRtANu3byC83etZdnQsfxt0hnsz8nB9oHxgu3BeZ4ak7DGXZyMNLiJa1qy1zjTJxnnESPOtEjuyVBsN4GNHU1mA1bEec+KgEST2oTNoSQ3tvPaalnvJLWR6PNI9LmbzCZiIxEDtvsYjrjPbbBtJ6GNm9zGGOMkuYk+2sZNcOMmtbHtIxPewOFJb1p+QHHT1osV9zKxJDitadlvzHZa1sVv1tjOvmMf291BN7ii01pSnfbKRrWWoKe1BD6x5Vqr29q22tt3W/Xaa1NbZeLbHl+mrWRFrR13/DG0d5xKtcajwwpPNhpgK5Ukz48+nSa/j7k7PmL2nmJeP2Uyz0+eRXVWRrKbppRSSh1BMDoGO0EaYCuVJA3+VJ4ZfzYLx0zhquL3mbt5NX4T5jdnX5TspimllFKt0wA7IRpgK5VkVWlZ/H7mhbw8fhpNqT4Ahlcc4NTSEhaeOommNH+SW6iUUkq5NMBOiAbYSnUTpdn52E58zaydW7l+9XKuXruSF6ZO5+XJU2hK1UBbKaVUEulNjgnTafqU6oaemX4G9191M5v79ufW5ct4/E+/54qP4nMiKaWUUqo70ivYSnVTW4r68/DlVzGyvIwbPlhBZsCd5cS2yQwGqE1PS3ILlVJK9TZ6k2NiNMBWqpvbWtSPh6+4kuj/5WZt3859/1rIookT+MfMaRzIyUluA5VSSvUeGmAnRANspU4SxnJGdO0uKGDJmFOYu24dl65dy7LRo/nHzGlsLeqX5BYqpZTq2XpfRsaO0jHYSp1k9uXl8cu5F3PXZ+7gn9OnMX3nTr710quIrXeeKKWUUt2BXsFWPV9737aPlvmxrbp2BGNHMGGBQKAle2BrWQMtQGyDJ5rZz83kJh4PiIX4vBDNCun1Il4veL0tGSHxejBeC+P3Yvuc57bfwvals8h3JosnzKIwWE2fVRaWRLh/xbMsH3wKb42cSGNaipMZ0suhjJAesFMg7HEzQnqiWSFbyRQJbsbCwzNGQlzWSPd5y6N96FFsOZRNMnZ95NC6Q89N6+8Zc1gZK+KWdR+J1o2YQ9uJGMTNEBl97WSONM6XkYibMMEYJ8uk+1xinh/2HjgZJqNfZCKRwz8j0ddupseWzJTRMtHslC2fIXNE1sfYzJHEfl4S0VpGy/jski1vScu+Yj+zh+2/tV1Ycmg7bobN2AyX4vFg3H6IPm95jO7HbU9L3djXHs/hmTtj9x2fyS6mzw7LsmnslrLR92KPNf64j5qZ87DX9qFjOyxTqNOvYknLcSPWobpyqJ0t9WK3G/u+MWB5jp4BVFq5HtZa2ZifT8tnx/Icvu5oGTTjX7f3/Gjvx2/raI9HK9Pq8bexnUSyaLa2rZOI+H3JboLDcNL1XbJogK3USa7Z62dXal8AcgMNANy+9h2u3/guS4aNY+G4qewqLEhmE5VSSvUU+s/ShGiArVQPUp6ew/fPuYmhdfu5cOca5uz4mAu3r+XrV9xOSZ8+yW6eUkqpk5zOIpIYDbCV6oF25BXx2z5zeXLqOczYt4VdeYUA3PzBMiyxWTRuInsLcpPcSqWUUicdDbATogG2Uj1YXUoab46e1DLus7ChlrO2b+KqtStZP2AQi8ZP5N1TRhPw6alAKaWUOl50FhGlepFfzrmUu2+5iwWzzqKgoY57Fi3k9neXOm9Gb+pTSimlWmNwbtDu6NKL6GUrpXqZ6vRM/jF1Fs9Pm874sr1UZGcCMH7fXr705iLeHjeWd8aOpSxPE9gopZSKpRdiEqUBtlK9lLEsNgwcjInO4CVCZUYGt777Hre++x4bB/Tn7XFjWXTqBEJePVUopZRCA+wE6V9NpRQAGwcM5L+uu57CuhrmFBdz7saN3Prue7w+aSIAI/YfoCw3h0Z/SpJbqpRSKmk0wE6IBthKqcOUZ2fz3KyZPDtrBnkNjUQ8HjCGB158mfz6BlYPHcKyU0azcsQI6lNSk91cpZRSqtvRAFupeMfy7Tw2C6SIkwyytcxordQz4bBTJxxy1sVl2muN2AbBvTs5NlObSEtGOScrpMd5FOc1HutQhkiPBR4PxuusNx4PeC0nQ6TPg/GIkznSI9jeFDK9EWwPPNF/LtPLtzF96xZOX7+DsGXx7PgzeGnsTIwFtkcOZYv0OpkgWx4tp9G213k0lnGzRrrlo4kioxkk5VB2vdjEmoeySsY8xnVvS4ZJ4YhMk5i4BH3GyRSJuI+0Ut5wKBNltFnR5HyRmEdxy0UzWdpuBko7Zjsx+2zZVnQb0QyDNnGZMc2h/bnbPCxbpvu6JcOmbWK2bVrWGRGsSEyGiIhTzpboMRo3Y6Y5PBteNOMlYDxu77ntsEKRlnVWKILxebBCEYjYGL8PKxAEvw+CIbBi7qm3bSQUdjKViiDhCEQiGL/PyaQZiRyeQROc7bT83GKybIbDkOJ3bqAKhTARG/E6n3/CYfB6MaEQRCJISgrGzbwqXjfbYzDo/F5EMzG29I/t/K6A0/60VExjk5NRz/39Nk3NiN/v/B4Fgs5xpaY4bbEEQuGW33PxeY/MqhmJONk9IxEn66fP5zzGZA6NEr//sOa1ZAo1xsmUGf1dt2K2HQo7mS1TUg6tC4edc4PX69QNBp3nHg8mGHLKu/sywSDi92PcbVnuz8AOhrBSU5y+c88zdiCAlZKCidjOsUNLHTsQcLYZiThtjM2I6faHiUScPopmOI0nFiYcctoTDCJen/Pa63Oyf0YizrqQ+15sRtFw6FB2z2i5+HXR5+Ew4vU6GT7tiNM37nosj5O1M/Z57H7cOvHvtRyr+16L2NexWTZjy0fP7VmZUH5kt5xw0ZscVbs0wFZKtU+EbTkD2FIwkKfGnc3wuv1MP7CVnTlOBskBtRXcufoNPhw4kg8Gj2Bffn6SG6yUUur4O8oXIHUEDbCVUsdGhO25/dha2L/lBsmsYBPpoSC3rlnMrWsWU5qTx4eDRvDPyTOoTs9IbnuVUkodPzoGOyEaYCulOq24cBD3X3w7Bc21TCvdztTS7VywZR1/nzYbgBkl28gMNbN60FCqsjKT3FqllFKqa2mArZQ6bsozsnntlCksHD8Frx0m6HdOMRcWr2PG7u0A7Mov5KMhQ/lw2DDWDR6SzOYqpZQ6FjoGO2EaYCulukTIc+j08uOL5jG0upxJe0uYsreEy9avZljFwZYA+9yNH7OzTx9KCgswHk0wq5RS3ZYOEUmIBthKqS5nxGJnQV92FPblhakz8UeCZAcaAcgINPPVRa9jGUN9aiofDxzAusGDWDl8BKX5uUluuVJKqcNogJ0QDbCVUidcwOfjQIqTir0hJZW77vgMp+7Zw8S9e5iwdzeztm8nbFmU5k8ht6GBczduYt3gQWzv2wdj6RVupZRKDk2VnigNsJVSSVeRmcXb48bx9vhxGIGC+loCPmfO3XH79nHHO0sAaPb7KO7fj+L+/fnXlElUZuoNk0oppbofDbCVUt1ORVZWy/P3Ro/mjs99lol79jJu717GlpZy/fsrec1N4X7OpmIml5RQ3L8/GwcMYG9eHkb0KrdSSh13hsMSIKmj0wBbqeMl9t9mif4L7bA60axf0vL0sKyQbW3TGDARZ/7/SOTw5IZusHm07JCxLHCykcGhZAKx+43JMiaWm2HMzQyJZR3KJgdOdjxLnHXRDJIiTgZJy3mO18kciYgz9MMjGCuaSdLJJmkswVgp7PSMZIc1ilcGCP7+Qfwf+envMYzYXc/ZO7dz6fsfA9DoS2FbXhE/Of1qbI9Fqh2g0e93bp603KyS0W4TsP1ONkXbTZQnNtgxydaiWSgjfjAeg0QE22fwBIVIikHCYPvACuPMC27cDJbWoWyU0X1ZIQEB2+tmW7QF4zVIWDA+px0mmqoz+jdM4n9ucRkso1kw3QyR0bnJJeK0w3Lb6WkWbL+T9dETdI4BnPfBqWd7jdNH4h5PtL/EaaO3SbACTnnbbwhl2/hqLayQECiIkFbmobnQxngN6fs8NA6IkLHHQ2M/G1+dhSfgbDeUAcFcm5QKC38tBPIglGOTucMilAmhLIOdYlp+VmIge7PlZKl0+yWSIgSzIZRjyCmGSJrQMMAQSTek7rfI3GuoHS5kbzfUjBLC6YbCNYaqcYKEhewdzraqxkHaASGcRkv2TAlDOBP8Nc6+GosM/d63KT1TyCyx8Nc6fVcxxZC13SJrT4T9My2MQOEaQyBHyC4JUzneR8NAGysoZJVAzo4wdYO8ZO0OYSyhoZ+XpiIhmO0cb9Z2i3AGRFKcrKfRz5DYwsDFAaygjURsbL+HYI6XxkIPzX2EYK7BVytk7DXkbGvCeC0qx6ZQPxQiqYbhLwaxPcKBGSk0FdmklFsMeLeZYI6XfWdb5K8T8j6uZ/fcLILZhgFLIxhLKDvNYtgrzVSOT6V6jGHgOzaBbA/l0wyn/LGabbfkkbFPyP84QMnlPga/HqFqjI/USoPtgZoxMOqPB9n6uUKGLgxTNtPPgGXN7D03lcxdhlCGEE6HrN02VWMsilaGqR3ixXgP/R56AoZQtpCxz+bgNBj7i31sumcAY35XxZbb8+n3vk31CA/NhYbRvyuj+ItFjHi+mX3npOMJQMH6ILsv8tL/XUNDX4v6ITD6VyVs/spQsrdD0Vv72Xx3EXkfQ/rBCHsusBiyMEz9AB+Vpxr6rgR/vc2e8y2KloO/LsLuCz2k7bcY+sR2tn9uBMYyjPzDXvbOG0T9UJtBb0ZI31HDtlsKwMDIv1ZQPrOAiimGnM1C/5d2UXbZEKrHGbK3WPR/ZhN7PzmW+iE26aUWQ54qofy8IVRMMfgrLYa+VElj/0zYQfegQ0QSogG2UuqkE/D6WwLPhcOm86/h0+jbVM2o2lJGVpeSFgm2XMW+Z/nLjKjez/b8Inbm92VrQT+25xdxMDMnmYeglFInJw2wE6IBtlLq5CfC/ow8yrLzWDJ4AnbMmW3J0PEcyMxhRPV+Li1ehcfYrC8awsPnXwfA1WtXUOtPZ2ffPuzOzSfo8SfpIJRSqrszOg92gjTAVkr1aMuGjGPpsHEYS/CaMIPqKvC4Ywg9doR5Gz4gIxjACBiEsuxcXh0/lYXjp4AxFNXWcCAnG2fchlJKKdU+DbCVUr1G2ONlR35Ry+uI5eHOm75AUU0tg+rLGVp1kGEV5TS7M5gUNtTxq7//gYDXx968PPbk5bE3t4D3Ro9kb1afZB2GUkolhwFj9CbHRGiArZTq1YxY7M/KpbQgl5VDRx12k2OTz8//nXUxQ6rLGVBbyZj9pZy9pZh9+TnszerDKWWl3PvaQvYU5LM3J589BXnsyc1nR78+NKfo6VUp1QPpEJGE6F8ApZQ6ioaUVN4cMxEsd1YHjyGlOezMOGJD2LLYWdiHgTWVTC0pwWs70788cP0NfDx4AFNKSpi7bh37cnMpzctlf6bzWJ6d3jIbi1JKnVT0JseEaICtlFLHIOjzYXsNniBs71vEI3M/ge0Db9Cmb0MNA6qq2NmnEICspmaGlZdz2rZtWLY7NZ/AZz57J+XZ2czeupXxpXsoz8hmf34WBzOyOZCTRV16Ki3T8SmllDrpaICtlFLHgW1ZlObmUZqTh/ECGJaMHcOScWOwbJuC+joGltfQv6aa8iwnA+Ww8oPMXbuO1FAYI84czLYlXHvvl4mIh0vWrGVYeTkHsrM4mJ3Nwews9mfnUJWZkdRjVUr1UsZoopkEaYCtlFJdzLYsDuTkUJ6eyxoZirGcq9lPzz6dv555Gtn1Afo01lBUXUtWczMRjwdsGFxZydnFxWQ2B1q2VZGZyZ2f+ywAn35nCf1qa6jMzKA8M5Oq9Ez25edSPKB/sg5VKdXT6RCRhGiArVR3E3/yOtaTWbS8iPvcBmMwJmbIgVhOpkaxwD6UQbLd/bkZIxHBhI2bddJCrLDzdrRYOIykpGBCznrxeMASsA3isTDGYEJhLL8PE7ExoWBMe0EsD5bHA8bGRCKHxitH29oK8fkxkQiW34cdDGFlpCMiROrqsFJSnAyTkQh2MISnIB/JSAMRwjtK8IwZhdm3H6sgDzs3EwmEMB4PJtWLsQSxDVZNI5FtJTBrAvLhJgIXTCZ980EaxvYhfWkxdReOw9sQIZzhIXN7HWzajqSmQEoKdnUNnr59KL18MFYY+r5bSdOQHCrG+xj4m3Xs/soUvPNLWHPnOFKbDGPmV7Dz6kKemHI+L6fMoe+SreTVV5BXlI7XhjG/2o+9ex/9hgQY4qti8u4SMutD+EsbWDtzJA9cfTMDloT5fOOzDFpZza4z8zArLbbM7cu2wiIOPN7Alp9MY0BVFf1eCFFVkMPu81Kx+wfIzm4i1R/iQHk2KWkhCrMayPQH2F2dC8tyGTx/PWbEIEouz2X6eZtZtWgc6aWG2Zd+TOmXhmD9tIphmZWUXFPI6H+WseWqfuQ83cCKFWNIrbDI3RKiZJ7w6TOW8sQb5zDiD7vZ+FA/PjX1Pd5bMI0tt2YybmoJZ+RvJ99bTwSLkPHwyj/Ow1MbxNqxBwYUUXZOAYGxzVw38SPWP9aPPTeMYPZ5G7imcBXf/OBa8h8rJuWF/qT/aB9Fr+dxUeFG/jV/OpO/WsrB5kxKi0fia7C5+bJlPLHiDIoGVRGKWIQjHpoDPs4YuoPFW0ZhjHD/zIW8MH8WP3jkRe5ccgfpG1MwHnjxqkeZt/SL5G7z8q2rXiDL08QPd99K9alh+r92gIYvpfDXiX9mU7CIry+9gaJl9ZRckUPh6mZCOSlUTjKcOm071xR9yPTU3Vy9/HOM7X+A0ZkHGJhSTaanGYCA7eOf71yIb38t9nbnM1g7JJWayUHOnrCZT/VdxkvVU3lx+XRyt0Io3UPTBfXMn/YkE/11XL34a4TShTOv+YifDHiTRytmsGjzWVSP8rDk+p9wRu695G62uOPG17guaw2fqPomtheevvHn3PPBV2i+uJY1p/2eWRVfo2lYiA2X/orrfnMLz930GN/Ydh0HwkP4+Ib/Ycbeexh+xXbWbR+IJyXC82f8hgd+fT2rbniMc3bdxx03v8YzBy7mwZv/ync+uoKhfaqYkFvKCyun8ePz/8qDkVvpc2Ypmf4AIdtDmjdEWX0WZxXt5KV1k9hw0a+57uFL2HTDr7j0hbt48aafcYXnPi6Y8xH3FS3i3r/cyaYbf8XpG7/MZ25ZyMaG/rznm8yHN/2M6eZrFE44yF/HPcV//fACFt78CDesvZPI6gyW3/RTznz3C9RuyWDbjb9mwsEvEplSx+Yz/8yozM/hP+hl242/Znja3aSW+dh84//ynwemsf7JgTx0ywKyrCYee/56hl27jadGvsTUxnsYEM7m8Vt+Tch4eGjZnVRf2sC2c57gvA1XYt7JwJpXwbZpf+OijVfAgjCTb1jPE0MX8639U1i7cCwVlzSz4dz5/K5mBE9/fBnhtO4zZMzoFeyEaICtlFLdXMDyUerJZl/mAIzfi1XdAMCTo86jbLaPQFGY3BKbif/9DnsvnNxSb8PQ/nhXG1IDIQYHqhm/ch/vjxjB8wwA4JGnnqZwbyMRr4eKnelU9Ulh5ayhvHbZBAA+sXgtnnxDKN+D3wSpr4MUE6b5xHeBUqpbMHoFO0EaYCulVA/Q7PdzQDLYVViIxx1RsuCC0/lwyUG2fDGP0Q9U8fG3+uJvNAxfvA6AX110IeMWVpDhD2EGBcn21RLwOX8W/KEwn375PbyWjSWGYMQD9R6WBAfyT4aRFgxw77cXsat2Lc2hVDJMLWX7S9mwJQ97qgeviTBgcxU14TS8tWG8kQiarEcp1VtogK2UUr2FCCGvp+Xlu6eM5uD7/QjlprLnXD/hYc3OEBFCBH1ebvvBHQw3lfRrrqW+zEfWh17Cr1cC4LFtDgzIwtQKRfXV9F9bzvjKA9TtmsjOqX0oiNRzy/fep7nch+dem3vq3yIc8fH0wDmUMJ6cfY08+Pw/Sa0OUPJyPhOK95FRbtFQ5Vw999eHyDvYQHOGj6Y0P542hgcppU4Qg86DnSANsFshIoOBx4CLcObKWgTca4zZldSGKaXUCdSc4udgVhZNfj+7C3KhOpfBnvUA1Kem8dSXTmPVonFk7DVMunM9pV8cjOe8KoZSRbWVzrPfnE7lNzMpvLWWfRsKKdgXpMzkAc60hjmNjRSFqxm8oZKhGys4ZX85H1b2pw4vRZvruOAnmzAIBrigZAthY/FrazpbKWLi/hKueHwZAwfUMLM2m4PLt5AbqSTllhAAfe16it7fjrFrsDcGye9fT1GoBk9Yx48q1SldnMmxMzGYiKQCPwBuA3KB1cC3jDGLu67FrdMAO46IpANvAgHgUzjf1x4C3hKRScaYhmS2Tymlui0RjOXcjBWwfOycXMiWtH7kXNDAiswxZO10bnIEqBiWyWO3XcbYR3ez8Vv9+NSUd/nwzkkUD8tmNHs4ODKTpQ+MwttgY9UbNs0fRXpDE1V1adGdEfZYpNUFGRCuZkBpI4VLqii5Mh+AsXYF1/55M1YohDzqIdvbzGn7dvK78jMpy83m0u0fcG3xe2R8poHzmosh26bZ6+P7n7+cZo+Picv3MuPNHTT7fExat4dIjY/+f6vB09e5kj6ifD8ZywJM21xCbk0qudsaSU0LtnSFz4Txhrw6XlX1KAYwXXgF+zjEYL8HLge+AWwHvgS8JiKnG2NWd1nDW6EB9pHuAkYAY4wxWwFEZC2wBfgc8GgS26aUUj2TCEHLR9jjDGFpzvFTNj2nZRaRf700w5k1+Cb9AAAVmUlEQVRFpGEPAOuLhrDsmr7OLCKr+rHn6hFMvmk91xSugnJY4RnIqgfHk3vnXjK/ns5ZKVtZ/cBI6vJ8YGBHTj/eGDiZcWduZf32gRSk1uENRAh7nHHi2ZVNjNh9kJRQhGE7Kyioa6T/gmrs+5wvEBcUr6PfuzU8WP8y/kqh4Js1iN/Amc7h3FS1gilf38mwtAr6e2t4umk+odIUPsmdAFxXspS+T+0n641GhuRW0ie1ns82LmXp504B4JTXysivaCDitwh4vdSVraahwfChO459wv5dhIsbGR3ZT3afJgY2VzG4vAJw5ljvU1WH/0AYSbfJCDXRFPbq1XvVecZ09RXsDsdgIjIZuAW40xjzR3fdO8AG4PvAvK5seDwNsI80D1ge/cECGGN2iMgy4Eo0wFZKqW4vIF4q+2ZTZ9XjH5PHiMIKPswYzuCUUmiGTQWD2JY6gPPulCOm6SMA7142ih+NvuTQNH2Xz+Kbz72AWe4EuH+fejqXz/uAby2/liEvGz7x+XfIMM3wvrP/VWlD2fyJAu7qu4wDjZm8uXksebXhlvY1e/w0+f1k04i/LoyvJkL/YE3L+4M+rGbA+iqssMEgDN1Vy27J5UNOBeC21YsZvHw/mWnNFHrr6R+pY3BBNX/gCgC+8/grTGrcS5pl84td8zEW7JFM+Kmz/R8t+xOpy5spWFLJn6r/SMpeoenPBr7svP/gK88ydHMl9616nobGCCkLq7m4Yg0vDBsPxnBr+VKKflHLTTXvU7thK97f1jJ99zYqEXzhMNct+5D8PQ1cUP8xvn80Mrf4Iwq21gNgBWzmfLSZgrxGhmRXMnvLNvpk1dG3rgYD+AJhBu+qxO+LkBII0idQx+ADlVDvBnZBQ16gDk95hLyGetJrAlhpNh7j/HdBjI0naOMJ24ix9b8IJ5fOxGDzgBDwTEzdsIg8DdwvIinGmMBRax9nGmAfaQLwQivrNwDXn+C2KKWU6iaM79BcxNXpGQRH+Ni0rx8NeV5mzMwhy+NvCbA3pA3iwEUpXDtxNVuDfZm/9BzGFte31H950Cx2fsLHqdN2tMyD/YPllzOWAwC8+Z9jnXmwbUMo6OVf98whdW81lJQB8D9nXE54ZAOzhm3nquyPWFp9Cq9tngRvO9tfcNlp9BtQw1DTyFO/m4P4bLLPPsgMNgLwXr+xWDlBxs7cz6riwfStCpPVrwpwgvywZQGG1EgIX10A60CErFCTs3EbTmkqJeODAFPq9xApO4C1sJHRWWWsoD/+UIRbF71P4fJ65tV+ROr8eu4oe4tds3MA8NdGuPdvb+L3hknzhDinYQuDXq9i5inbeJ/+FFQ08PVHXscSQyjiIdMX5Oqmj/AUOrGRbA/x3+ueYMinK/lT1eNkPd1IkbeOSQ0lAIw/uIebb3uf5oiP+uq3yHr1IP+o+jm/uHcOjIOJ4TIGXVfB440L8OzykHtzBX+o/TM/nHM1ALN2buH219/CU1jGr/f/BYIe5P0yBs2spJy+yNImrn/yAy6o3Mgp/1WG14rw5d2v8kz1JABmb9vCFRvXM/KhciKW8PlNr1L7VASmO18QptTvYORfdiFvVHB7xXtYzQHS/iDwX84Xgcl1OzjvpXK8G2uYEtyF2bKY9wePjn60kq4rh4jQuRhsArDDGNPYSl0/MMp9fkJogH2kfKCqlfWVQN4JbotSSqnezBJsv0WTNwXbk9Kyuiwrj5r+GQwYVU1d31R2VRewpb4fo3CC0BUTh1M+LZN+fsMbr00hlC5MnrkG3AD7hZGzqR7l4dYvrOQX/76Q0QdDXDR3KaeyH4CHL72GcXfs4uFv3EjVzfWce9rvee7Xs4EQeIQHB1/Pj55YwP3bruHAc0NY/u3/4enHzmQ422lI9XPVQ5/n+Vm/5TsXXMOfnn2Wux77Atde/hb8FgJ5Xr54380MzqtibMZ+3lo9jm/MfJVlb43BRy1V+en84p7zSSdEdX0qp2bvY8W24cyftBAAU+ThL0PP4e4vvcKv372AyWO384nsdez5RQEA+zNy+OjmwZQ157Djw4F8a86/eW7FTA4UZgFQaaVTPzeVxXtHkVXjYfSZ5azcOYy6lFQAalPTKR7Sl/MGlLHTFOJrAIq8BL0eCANeCPstIu5wHYkY/HYYca+Up4eC5AXr8R8MY2yhX1MluWU2uBfg88MNnLL9AFQEGFu3HysSImWtAePsf2ignKlrtmCVNDEiWE7WvvXszc3vko9Xh3TtEJHOxGBt1Y2+f8KI0X+dHEZEgsDPjDEPxK1/GOdO1CO+lIjI3cDd7suJwPoub2jvVgiUJ7sRPZz28Ymh/dz1tI+7nvZx1ysEMowxfZLZCBFZ6Lalo1LhsFxV840x82O2f8wxWEyZfwOZxpjT49ZfBLwOnGOMWdKJth8TvYJ9pCpa/5aTR+vfjHA/HPMBROQDY8yMrmue0j7uetrHJ4b2c9fTPu562sddz+3jYcluhzHmki7exTHHYDEqgSFHqRt9/4TRtFpH2oAzjifeeODjE9wWpZRSSqneojMx2AZguDvVX3zdILD1yCpdRwPsI70IzBaREdEVIjIMZ/KlF5PUJqWUUkqpnq4zMdiLgI+YmyFFxAvcCLx+ImcQAQ2wW/M4sBN4QUSuFJF5OHe07gZ+m0D9+e0XUZ2kfdz1tI9PDO3nrqd93PW0j7teb+njhGIwERkqImER+U50nZtI5hng5yLyWRG5AHgaGA48eAKPwWmj3uR4JBEZwuFpOt/ASdO5M5ntUkoppZTqyRKJwdyr2juA7xljvhuzPg14GCfhTC6wBufmyLdPSONjaICtlFJKKaXUcaRDRBIgIoNF5FkRqRGRWhF53v2GlUjdVBF5RERKRaRJRN4TkXO6us0no072sznKMqWr232yEJFBIvJL9zPY6PbPsATrWiLygIjsFJFmEVkjItd2bYtPTp3s551H+Rxf1bWtPnmIyHUi8pyIlLjn1GIR+aGIZCVQV8/HCepkP+v5OAEiMldE3hSRMhEJiMgeEfmbiIxPoG6eiPxORMpFpEFEFonIqSei3SoxegW7He7dqGuAAPBfgAEeAtKBScaYhnbqPwlcDnwD2A58CbgUON0dL6Q4Lv1sgD9x5Dj5ta1kdeqVRORcnPFpHwIe4GJgeCJDn9w5SL8OfNutfxNwF/AJY8yrXdTkk1In+3knsAn4btxbxcaY9qao6hVEZDmwC2dc5h5gKk5/bQLOMOboWTD0fJy4Tvazno8TICI3A9OAFcBBnCnm7gcGA6caY0qOUk+AxThji7+BM33dAzizb0wxxuzp+tardhljdGljAe4BIsComHXDcfI5fa2dupNxAsU7YtZ5gWLgxWQfW3daOtPPblkDPJTs4+jOC2DFPP+s22fDEqjXF+eLz/fi1r+B8wcz6cfWnZaO9rNbfiewINnH0J0XoE8r6z7p9vP5bdTT8/EJ6Ge3nJ6PO97vY9z+u6+NMle6Zc6LWZeDM8/zL5J9DLo4iw4Rad88YLkxpmX+RGPMDmAZzoe8vbohnKtZ0bphnLta54pIytEq9kKd6WeVANPGFad2zAX8wIK49QuAU0VkeKca1sN0op9VAowxB1tZvdJ9HNhGVT0fH4NO9LPqnAr3MdRGmXnAPmPMW9EVxpga4CX072W3oQF2+ybQeurzDTiTl7dXd4c58l9iG3ACllGdb16P0Zl+jvqCO46t0R3Xdvbxa16vNgHnCnb8JP0b3MdEfz4qMVe4n+GAiCzX8dcJmeM+bmyjjJ6POy+Rfo7S83GCRMQjIn4RGY0zrKYM54vf0bT193KIiGR2QTPVMdIAu335tJ6es5JD6Tc7Ujf6vnJ0pp/BuZr6ReBC4G6gAHjTHQ+rOicfqDbu/yFj6Of4+HsJ+ArOfw1uBZqBf4jIbUltVTcmIgOB7wOLjDEftFFUz8edcAz9DHo+PlYrcC5ibAYm4QzBOdBG+fY+y4n8zVRdzJvsBpwkWrsTVBKoJ52o2xt1uK+MMbfHvFwiIi/gfMN/CDjrOLStN9PP8QlijPlK7GsR+QewHPghRw7R6fXcK3Uv4NyrcUd7xdHPcYccYz/r+fjY3Q5kAyNwbib/t4icZY5+Y7R+lk8CegW7fVW0fmUjj9a/QcaqbKNu9H3l6Ew/H8EYUwe8AszsZLuU+18E9871WPo57mLGmAjwd2CQiPRPdnu6ExFJxUmNPAKYa9qfOUHPxx3QgX4+gp6P22aM2WiMWWGM+StwAZCJM5vI0bT3WdYZh7oBDbDbtwFnvFO88cDHCdQd7k5BF183yJFjWnuzzvTz0RztW746NhuAFGBk3Pro2OuO/nxUYqJfbPSz7BIRH/AcMAu4zBizLoFqej4+Rh3s56NuDv0Mt8sYU43zWWzrnoC2/l7uMsbUd0Xb1LHRALt9LwKzRWREdIWbNOJM97326vqA62PqeoEbgdeNMYHj3diTWGf6+Qgiko0z3+2K49S+3mwhTgBya9z624D17mwvqgu454vrcf5oliW7Pd2BiFjAkzhX+q40xixPsKqej49BJ/q5tW3p+ThBIlIEjAW2tVHsRWCgiERvOo328RV04O+l6ho6Brt9jwNfBl4QkWgClB8Au4mZRF9EhuL8QnzfGPN9AGPMahF5Bvi5eyVgB/AFnPmd44OV3q7D/SwiX8eZO/QtYB8wFGccWz+0nw8jIte5T6e7j5eKyEHgoDHmHbdMGPizMeYzAMaYAyLyGPCAiNQBq3CCkvPRKaFa1ZF+dpNOXAm8ivO5L8JJhDIduPkENr+7+xVOkPww0CAis2Pe22OM2aPn4+OiQ/2s5+PEufdYrALWArXAKcB/4Ix1/5lbZg5OzoE7jTFPuFVfBN4DFohIbKIZAX5yIo9BtSHZE3GfDAtOdqXncH4B6oB/Epc4AhiGExR+N259GvAozrQ7zTjf4M9N9jF1x6Wj/YzzrX0ZUI4zd2gFzgloVrKPqbstbt+1trwdV+ZPcfU8OBk2S3Dudl8LXJfs4+muS0f6GZgNvAnsdz/HNcAinHGvST+m7rLgJOM5Wv9+1y2j5+Mk9bOej4+pj7+Fk/G1GmjESXr029i/e8C5bh9/Oq5uPvAHnPHYjThB+ORkH5MuhxZNla6UUkoppdRxpGOwlVJKKaWUOo40wFZKKaWUUuo40gBbKaWUUkqp40gDbKWUUkoppY4jDbCVUkoppZQ6jjTAVkoppZRS6jjSAFsppZRSSqnjSANspVRSiYhJYNnplv1T9HmyuW2Jtu/tuPemiMhzIrJLRAIiUioib4nIV5PU3ONCRN6OP9YE6oRj+umzXdQ0pZTqVjRVulIq2U6Pe/0PYA3w3Zh1AffxB8D/nIA2JaoMuBon+ygAIjITWIKTJfCbbplBwFlu2V+c+GYm1ZnAAOD5ZDdEKaVOFA2wlVJJZYxZHvtaRAJAefx6t+y2E9awxARaaedXcFIfX2yMCcSsXyAive6/hsaYFSIyLNntUEqpE6nXneyVUiev+CEiIjLMHXrweRH5oYiUiUidiCwQkXQRGSUir4lIvYhsFZFPtbLNySLyoohUiUiTiCwTkbM70cx8oCouuAbAGGPH7TtdRH4sIjtEJOg+fjs+EBeRPiLyfyKy2x1ysltE/iIiKTFlLhGR99xjqBGRf4rImLjtvC0iS0XkQhFZJSKNIrJeRK5qpV9uEpFN7v42iMjVrZTJFJFfxgyF2S8ii0RkbAf6TSmlegwNsJVSPcEDOMMQPgV8B7gR+A3OcJNXcIZmrAX+KCITopVEZBrwLk5QfBdwLVABLBKR6R1sy/vAWBH5jYjMEpFW/1Porn8N+CzOsJdLgd8B/w94JKZcntvGG4FHgctwhp74AL9b5hL3OOvdcl8AJgJLRWRg3K5Huvt7FLgGKAWeFZFRMfu8EHgK2OKWecStMyZuW48BNwDfAy4CPg+sBnLb7yallOq5dIiIUqon2GaMiV6dfs29An07cLsxZgGAiHwAzAOuAza4ZR8BdgHnG2OCbrnXgPU4ge4RV3YT8AgwFficuzSJyFLg78AfjDERt9zNOOOy5xhjFrvr3hARgAdF5MfGmAPAfwAjgBnGmI9i9vPXmOcPAduBS40xYfc43gM2A/cBX4spWwicY4zZ4pZbhRNk3wD8t1vme8Am4MroVXcR2QgsB4pjtnU68KQx5vcx6/6RUC8ppVQPplewlVI9wb/iXm9yH1+LrjDGVAEHgMEAIpIGzMEJfG0R8bpXlQVYBJzTkYYYY5qMMVcDE4BvuG2bAcwHXhU3ggYuAUqAd6P7dvf/Os7V6dluuYuBlXHBdQsRyQCmAc9Eg2u3HTuAZe4xxtoSDa7dcgdw+mWIuz0PMBN4NnZIizFmBbAzblsrgU+LyH+KyAy3rlJK9Xp6BVsp1RNUxb0OtrE+1X2eD3hwrlT/v9Y2KiJW/LjpRBljPgY+dreTCjwO3AZcDrwM9AWGAqGjbKIg5nFNG7vKw/lSUNrKe2XuPmJVtlIuwKF+KcQJ8Pe3Ui5+3VfcfdwJPAxUisgTwLeNMY1ttFkppXo0DbCVUr1VNWADvwKeaK1AR4PrVrbTLCKP4ATY43EC7ApgB87QjNbsdB/Lgfhx1LGqAAP0a+W9fu5+jkU5TtBf1Mp7RThX3QEwxtTjjH9/QESG4gy/+RHOF5lvHeN+lVKqx9AhIkqpXskY04AzX/VkYJUx5oP4pSPbFZFBR3krOrNG9ErzQpzhKvWt7dsYU+6Wex2YJSKT2ziOD4HrY4douAHvGcA7x9J+d4z4SuC62NlMROQ0YFgb9UqMMT8D1uHcYKmUUr2WXsFWSvVmXwMW49wY+Xuc4LcQZ0yzxxhzfwe2+RsRKQL+gnOzZHRM8zeBbRy6CfBJ4A6cGxt/hjMMxI8zy8c84Cp3mMVjwC04M5s8hBPAFgJXAp83xtThDHF5BXhZRP4PyMS5UbEG+FkHjuFBnMD+nyLyW6CPu72y2ELujZQvum2qxxnvPRn4cwf2qZRSPYYG2EqpXssYs8rNvPggTobFHOAgsApnmr+O+CVOQPwlnKkD/cAeYAHwA3dYBcaYkIjMBe4H7gaGAw04QfgruOPIjTHVInImzkwh9+OMyd4PvBlTZqGIXO4ex9/c9W8D3zTG7DvWAzDGLBKRW3GyaT4PbAXuBe6JK7oYZ4jL/Th/T7YD/2GM6W3ZKpVS6jBijEl2G5RS6qQjIn8CzgVGASZm+j0Vwx22MgwnSL/LGPO75LZIKaW6no7BVkqpjovOAvJGshvSjQVwgmullOo19Aq2Ukp1gIgMwxkLDVBnjCk+euney82IGZ37e2fMzZtKKdVjaYCtlFJKKaXUcaRDRJRSSimllDqONMBWSimllFLqONIAWymllFJKqeNIA2yllFJKKaWOIw2wlVJKKaWUOo7+Px36ZyPbfgr0AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 864x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fft_freqs, frame_times, stft_result = scipy.signal.stft(\n",
    "    test_signal,\n",
    "    nperseg=64,\n",
    "    fs=22050,\n",
    ")\n",
    "\n",
    "plot_spectrogram(fft_freqs, frame_times, stft_result)\n",
    "plt.plot(t, f_of_t, color=\"r\", linestyle=\"--\", alpha=0.8);\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The non-zero magnitudes are indeed centered around a tight band of frequencies which sweep from high to low frequencies over time. I've overplotted the desired frequency structure as a red dashed line, and indeed the apparent frequencies detected by the short time fourier transforms match the targeted ideal frequencies.\n",
    "\n",
    "Something interesting to note is that as the frequency of the signal becomes low relative to the minimum resolvable frequency of the FFT the measured Fourier magnitudes become unstable. They don't simply fade smoothly towards the zero frequency bin but instead fluctuate chaotically depending on the phase of the oscilation as it overlaps with the calculation window."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Sliding FT\n",
    "\n",
    "Lets start with the above mentioned sliding DFT. The idea is simple the normal definition of the Fourier transform is as a sum of complex exponentials with one term per sample in the signal to be analyzed. \n",
    "\n",
    "If we have $N$ samples of some function of time $x_t$ we can get an estimate of the strength of oscillations of frequency f present in the signal x by evaluating the sum,\n",
    "\n",
    "$$\n",
    "\\large{\n",
    "\\hat{a}_{f} = \\frac{1}{N} \\sum_{t=1}^{N} x_t~e^{-i 2 \\pi tf}\n",
    "}\n",
    "$$\n",
    "\n",
    "Normally it would be a terrible idea to actually implement a Fourier transform directly in terms of this sum since it is wildly inefficient relative to the more commonly used fast Fourier transform. \n",
    "\n",
    "However this sum formulation has a very nice side effect in that we can keep it incrementally updated. We simply subtract off the term for $x_t$ which slides out of our window and add the term for the newest value in. Nothing could be simpler, lets see how this performs."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "class SlidingFT(object):\n",
    "    \n",
    "    def __init__(\n",
    "        self,\n",
    "        monitored_freqs,\n",
    "        dt,\n",
    "        window_length,\n",
    "    ):\n",
    "        self.dt = dt\n",
    "        self.monitored_freqs = monitored_freqs\n",
    "        self.window_length = window_length\n",
    "        self.accumulated_phase = np.zeros(len(monitored_freqs))\n",
    "        self.spectrum = np.zeros(len(monitored_freqs)) + 0j\n",
    "        self._past_updates = []\n",
    "    \n",
    "    def update(self, new_value):\n",
    "        #generate the complex exponential\n",
    "        cplex_phase_vec = np.exp(-1j*self.accumulated_phase)\n",
    "        #calculate the newest term in the expansion\n",
    "        cwave = new_value*cplex_phase_vec\n",
    "        update_val = cwave/self.window_length\n",
    "        #add the update\n",
    "        self.spectrum += update_val\n",
    "        self._past_updates.append(update_val)\n",
    "        #check if the history is long enough \n",
    "        if len(self._past_updates) > self.window_length:\n",
    "            #subtract off the oldest value\n",
    "            out_of_window = self._past_updates.pop(0)\n",
    "            self.spectrum -= out_of_window\n",
    "        \n",
    "        #update the current phase for each frequency\n",
    "        self.accumulated_phase += (2.0*np.pi*self.dt)*self.monitored_freqs\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We will be testing a few different streaming spectrum analyzers so it will be helpful to have a function which feeds the analyzer data from our data stream and periodically captures the current state of the estimated spectrum. This is very analogous to the STFT function above and we will make it match the stft response signature with a (frequency, time, spectra) tuple so that we can treat the STFT and the streaming analyzers interchageably. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "def monitor_spectrum(\n",
    "    analyzer,\n",
    "    data,\n",
    "    times,\n",
    "    monitoring_period,\n",
    "):\n",
    "    accum_spectra = []\n",
    "    frame_times = []\n",
    "    for idx, value in enumerate(data):\n",
    "        analyzer.update(value)\n",
    "        if idx % monitoring_period == monitoring_period-1:\n",
    "            frame_times.append(0.5*(times[idx]+times[max(0, idx-monitoring_period)]))\n",
    "            accum_spectra.append(analyzer.spectrum.copy())\n",
    "    return analyzer.monitored_freqs, frame_times, np.stack(accum_spectra, axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fa2c44d5250>]"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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RItzBNjMzM7NCZtrNiq3q2CEikg6RdImkpyW9IOlmSadUlZkt6SxJT0haJ+k6SYfVqCuRdJqkByWtl3SrpBPr7Pc9ku6StEHS3ZLeN1nHaGZmZjZdVIJmWn3MJB3ZwZb0YuBSoA94D3Ai8FvgW5Lenyv6rWz96cDrgSeAX0o6oKrKzwKfBr4CvBb4DXCBpNdV7fc9wDnAj4DjgAuAr1Xt08zMzMysrk4dIvIWoAd4Q0Sszpb9StL+wJ8B/5a9fitwSkT8O4Ckq4ClwGeA47NlWwEfA86MiC9kdV0haTfgTODirFwv8DnguxHxiVy5bYHPSvpmRAxO6lGbmZmZdTDPIlJMp56lfmAQWFe1/DlG2nx8Vub8ysqIGAJ+ABwraVa2+NisvvOq6joP2E/SztnPrwS2rFHuu8DmwKGtHoyZmZnZtDeB4SEeItIZvp09/6ukbSVtlg3feA1wdrZuH2BZRKyt2nYpaYd6t1y5DcB9NcoBLMmVA7ijQbmpNTTEvZ8/kPvevT1Pv3orYtstUW8f2nQBsWAezJqF+nrTVMf+/uE0R/X0QJbcqERpYqOE8ulWPT3psnyCWZKMTXRMqraD0T/nyzdKQ8tSJkf/XONjWSjFrIUvr5JxE9uaSnObYFJYxyXHTUQ3paYVTMfrhvdP1cmuM0zHvYdT9T3qpPe/m/4t6QKBkxyL6qBv0YiIuAM4AjgBeAxYCXwVeF9E/CArtihbXm1Fbn3l+bmIiALlqFFndbkxJL1X0o2SbnzmmWfqFZu4O+6AY49lryeemLx9mJmZmdXhK9jFdGQHW9LupDcaLgXeAPwB8HXg65LeVilG+svUmM1r/Fy0HHXKjisizo2IgyLioC233LLZzYvbZRdYt47Df3/35O3DzMzMzCakIzvYwD+Sjq9+fUT8NCIui4gPAf8FfElSQnpludZV5YXZ84rc80JVj2moXY4adS6qWj915s6Fww/n0LvvoadUmurWmJmZ2QzS7dP0SZon6UOSfijpiuyCL5LeImmvZurq1A72fsCtNWbtuIH0hsOtSK9u7yxpblWZJcAAI2OulwKzgF1rlAO4M1cORsZi1ys3tY47jk3WrePFjz081S0xMzOzGaZbO9iSdgBuA84CdgcOAxZkq48knZGusE7tYD8JHCCpv2r5y4H1pFeTLySdJ/tNlZXZVHtvBi6JiA3Z4l+QdrjfNroqTgbuiIhl2c/XAcvrlFsBXDORA2qbV76SNbNmcdg9HiZiZmZmG08lKr0bO9jA/yWdFGN34EBGDyW+irTDXVinzoP9FdKQl4skfY10ur7jgT8Fzo6IAeAWSecDX5TUBywD3g/sTK6THBFPSzobOE3SKuBm0k74UaQ3UVbKDUr6FGmwzGOkQTdHAacAf5ntc+r193PuUUfwTP9m6a8aZmZmZhtJF88GcjTw3oh4WFJP1brHgO2aqawjO9gR8cMsZfFvgW8Cs4H7gQ+QJi1W/DlpOMwZwGbArcBxEXFzVZWfAFYDHwa2Ae4GToqIi6r2+3VJAfw18HHgYeCDEfG19h7hxFy5ZG96V4sFD051S8zMzMy6Qj+wqs66TUnvDSysIzvYABHxc+DnDcqsAz6aPcYrVyLthJ9RYL/nMLoT35F2eeYp9lv2FLezw1Q3xczMzGaCYDoM9WjVbcCJpEOLq70WuKmZyjq2g23jO+zeuzn+tt9x+tYnsWaqG2NmZmZdrzKLSJc6C/hhNunc97JlSySdALyLdKhyYe5gT0O7f/xG7t9ze3riJl50wDP8/D0vpX9lwoIHg81/148eL8Nmm6ANg2hggChHmvDY24N6NxDlQL29EOV00m9pOJ0xKsmNijSFsbIuRJTT/Y+Z8TBL/Uq3B0qMTQJTZUVukVR30vGa65RAlNN2tTpLYaWOXLtb1mrCWDP7lWBMRtIMUfnMSJOSLDcmta/bE+ManMOWUgxrfK83uvx3unp5M3UUOI62Jz1WtVGJ0n+vbeOZyf/GtqhbO9gR8WNJfwGcSXr/HcB3SIeNfDAial3ZrqtTZxGxBh6dtTmPz1/k2UTMzMzM2iAivk56M+OxpLPIvRbYPiLObbYuX8GeriSu3X5P3rjsOrZ4YRUvsOlUt8jMzMy6WGWavm4WEWtIZ5KbEHewp7Frd9iLYx6/mR2efZalm7mDbWZmZpMruqiDLampua0j4tdFy7qDPY09PW8z3vmuU9kwP6F/5VS3xszMzLpdl82DfSUM3/Kl3Ot6qufHrssd7GluqKcHokzf0BBNvO9mZmZmTYnum6bvyNzrzYAvA3cAPwCeArYmDTnchzSLpbC6HWxJpzfdzNS5EfFki9tak1Qu88XvfI97Fm3H+dsf2XgDMzMzMyMirqq8lvRt4JKIeHdVse9I+hbwx8BFFDTeFexPN9HGigB+CriDvZFEkvDoooW8+r67+NGLXj3VzTEzM7Mu1k1jsKucAJxUZ935pFe1C2s0Td8hQF/BxxzoroE508Xl+y5h/ob1HPD0sqluipmZmXWtdBaRVh8dLgF2q7Nud5ochzteB/shYG1ElIo8SDPaHwI2NNMAm7jf7biYFfPm8+pH7pzqppiZmVkXi1DLjw73M+CfJL1JUg+ApB5JJwFnkI7QKKzuEJGI2LmZiiKiDDS1jbUmSiV6H1vOVs+vZevLSpQefZzbdtiVI565jeXvO5rnNtmDOU+JRXcNMu/WoPz8C7DpfCJJ0OAglErQ3wflQFlqmHp6oK8XlYNIBtIAvZ6edHmpNHKLbSJIksoPI41KEiiXRycwZumQAFF9Y+4kJPONoQSiDSlzSppPrFMyOcmA1cdUq131ku3qVpmldHZCKl8nq5lO2r1aT3acAvn91mvDcDJoZ3/Oh9Mcm/weN7eTDunodFqKYqe1pwN1eVT6h4AdSIeDDElaCSwk7Stfna0vzLOIdImrN1/CHXtvx9r+/qluipmZmdm0EhHLgVdLOhp4BfAi4AnguohoOnimUAdb0j3AncA7IuL5qnX7AxdExB7N7tzaZ/msTbl7+20Y9K9MZmZmNhmi+y/yR8SvgF9NtJ6if8/bDTgGuFZS9TCQ2cCuE22ITdy8gfX8yY3Xs8Ozz051U8zMzKwLlVHLj5mkmQFzJwPrgeslvWqS2mMT9OYbrufoO+6Y6maYmZlZlwm69yZHSWVJpfEezdTXzICCR4FDgfOAyyS9KyK+18zObHKt6Z/Nb3femcPv/j0X7O45sc3MzMwK+gxjo9I3Jx3BMQv4djOVNTViNyLWASdK+ifSZJvdgV82U4dNrl8t2ZdXPnAfBz56P/d6UhczMzNrm2kxn3VLIuLTtZZnU/ZdBDxfa309Lc2pFBGnAacAp5HmtluHuGWHHXlmwQJec+/tU90UMzMz6zIRrT+moyzr5WvAXzWzXcuTlkbEd4A/AHZstQ5rv0gSLtl3PwZ7ekkmaw5VMzMzm5G6dQx2A7OARc1sUHSISF/Wgx8lIq6WtAfpGBXrEBe87GDm7Jiw6K7BqW6KmZmZdYn0SvS07ijXJWlxjcX9wL7AmcCNzdRXqINdq3OdW/cc8FwzO7UJiiDWr4dSmSiXiFKJvgefZuunZ7PN+gEAVh24LdpxLfcevh3lnh3ofy5hwUPBolv60MNDsOmCNHlxdQKr16DeXtTXR0Sggd407TFLd6RUglJ2NbySUJgkMDiULks0sqxcHkkig5HUx4jh8LThhLgkScvmP1359Lh6KYW11lVSz5SgpEyUW/zjjDSqrklLUoORY6kcc+eGy20ck32+h3fT+H8O1Z/LUZ/psYVRUh6zrO4b2q6E0aI2xv4mMx1xqpMXx9n/mH+/ClVX+7PUUnJmsR1OTr3t0o70xMlKYHSy40zzIGNvcgQQcD/wgWYqq9vBlnRuE/VERJzazI5tcu3+3GN89Lofc8aJb+C3u+4y1c0xMzOzLtCtNzmS3ltY3cFeDzwE/Ha8i821jHcF+/gaO9oKWAEMVS0PwB3sDvLAJtvwwuw5HHP7He5gm5mZWVt060X9iPh2O+ur+7ejiNgmIl5UeQA7kF4mPza/PHts285G2cSVkh6u3G0fDlq2jEWrV091c8zMzKwLdOtNjpIekLR/nXX7SnqgmfqaGZzVpb+zdK/L9tiXJILXLL1zqptiZmZm01zQeue60zvYwE6ks4XUMpsmZ83r8LsfbCKe3GQht++wPUfe+fvu/ZuOmZmZdQ1JO0j6oaTnJb0g6cd1Zviot/3eki6QtFzSOkl3S/pwwc3rdZYOoskJPZpKcrTp55wjj+SFOXNgUPiPEGZmZjYRk9mTkDQXuBzYALwj290ZwBWSXhwRaxpsf1C2/ZXAu0nTF3cH5tcp/xHgI9mPAVwkaaCq2BzSObB/0MyxuIPd5R7ZfHMQ9HsiRTMzM5uIyZ8H+z3ALsCeEXEfgKTbgHtJJ9P4l3obSkqA/wAui4g35lZdMc7+HgAuy16/g3Su62eqymwA7gS+Wfwwxp+m77CqRT3Z80sljflNICJ+3cyObePZ+elnOPWSq/jWbsdNdVPMzMxsOpvcP4YfD/ym0rkGiIhlkq4BTmCcDjZwBLAEeF/RnUXET4CfAEgC+ExELGu+2WONdwX7SmqfxnOrllfGHvTUKGsdYM2sfvZ+8jGO7LudK9h7qptjZmZmVss+ZB3eKkuBNzXY9tDsebak3wAHAitJh3b8bUSsG2/jiPjzJts6rvE62Ee3c0fWXjE4hMpBpLmlabLjwCAxOADlYMFtvcz/fS889wIMDHL33MUc/tjtfPv9L2fD3M3ofy5hk2XBwt+vInnueTRvLrHJfCiV0NAQMTCI+vtQXx+UA0olYkioJ0F92cemJyEG09/61NOTtkWCoXSadClLeKy8TjQS1JeMrBtOmssnjiUJlCqpkKOPXRJBFEv+yydx5feXKD2uZhXaZxP3DquJP7VVlZ1w8puS5upoZ6Je7jw2fRyTnUyYT/KcUDVjU/7GTYScQg3fgyLnPH++Wjl31d/JVr+jbVTzvDRIdhxbduy6Zj4HHfmZyf+bvTFTSa0jTHCIyBaS8pHj50ZEPthwEWmnuNoKYGGDuitTRp8PfAX4O9KbEz9DOtX0G6s3kHQ68M2IeDx7PZ6IiM82KDOsbgc7Ii6rt86mn6u22pf3PfIzXnH/fVy13x5T3RwzMzObhiY4KdnyiDio0S5qLCvSq6/8RnteRFQ6y1dK6gHOlLQkIqrnLf408Avg8ex1o3YV7mB7mr4Z4s5NduDpeZvy2ttvneqmmJmZ2TQUTHrQzErSq9jVFlL7ynbes9nzr6qWX5I9HzDmeCKSiLgh93q8R1NDoet2sCWdK2mnohUpda6kHZppgG0coYQfLXkl1+y+h+fENjMzs+YFEGr90dhS0nHY1ZaQzuTRaNtKK/MqO24wvrO9xruC/S5gyybranYb24iu3nFvLn7xAc2N+zUzMzPbOC4EXiFpl8qC7GLvIdm68fycdEq96inTjs2eb6QgSVtJWlz9KLo9jH+To4AvS3qhaHua2bFNjdkDAxx69138Zpu9gP6pbo6ZmZlNI5P8R/BvAB8EfiLpk4yMe34EOKdSSNKOwP2k0+p9Jm1XPCvpn4BPZX3Xy0lvcjwd+I/81H+1SNoE+BLwZupHphceJjJeB/ta0gObU7SybJtVTZS3jWz7lSv4i19dxuxXBNfM3X+qm2NmZmbTySR2sCNijaSjgLOB75JevL0M+KuIWJ0rKtLObvVIjM+Q9kP/AvgY8ARwFsVuTvwqcCLwLeB20qvhLRtvFpFD662z6eu+rbfhvm225rilt3DtQftNdXPMzMxs2ih8s2LLIuJh0o7ueGUepMbIiYgI0jCa8QJp6jkW+HhEfLWFbcfwLCIz0EUvOYDtn1vBvssfnuqmmJmZ2XQSE3h0NgF3t6syd7BnoKv33IOVc+dx7AM3T3VTzMzMzDrBD4A3tKuy8cZgWycrldJfBrO7DWJgEPWUiIHBdP2atUiivHYdDA4y676n2ObRfjRUIlat5vrNl7C7HuWxP5zD2rcdgIbE7GfFJsvKbLp0Flq/AS2YT8zqR2vXQ6kEGzag/n6YNSv9Ocn21dMDPT3p32pKJUIJSsrp8iT7HS5/V4SSLNkxGZOKpuG0xTT5MR+YNiolrXM0hvQAACAASURBVGpdpd582eH0s3qzplTqKzE68XFMnQWSyip1tSPtsNKWeqmR9draLuOk+k11qtzo97VNKXLjvWf10gQ7IGVwo6j1GZxIwmX197ZSV+UzVyTVs5LEWustm2D6ZtE6aiXMNr+bDktorBx35Ts1gZRZ62Ix4STHTnYJ8EVJC4CLSdMjR4mIy4tW5g72DPXLbV7KefscykAvTIe/25iZmVkH6N4uw0+y552Bd+aWB+nwkaBNs4hYFytnVysWrFvHhj6xrmf2FLfIzMzMOl/XXsE+sp2VFepgS5pfNT2KdYFN1q/l7O9+i/NfdTA/POjlU90cMzMzsykREVe1s76iA9aelHSOpJe0c+c2tV6YPZffv2hbXnfLrfSW2jCW1czMzLpb984i0lZFO9hfBF4P3Cjpt5JOkTR3Ets1TNLrJP1a0mpJL0i6MZuEvLJ+oaRvSlouaY2kSyWNmeBZ0mxJZ0l6QtI6SddJOqxGuUTSaZIelLRe0q2Sxp2PcTq7cP+XsmjNGg65556pboqZmZl1ui7tYEu6fJzHpZJ+JOnvJW1dpL5CHeyI+CSwGHgT6V2V3wAel/RlSfu2fDQNSDqVdND5TcAbs/1fAMzN1os0m/444C9JJybvA66QtH1Vdd8C3kMamfl60nSfX0o6oKrcZ4FPA18BXgv8BrhA0uvafHgd4Zbtd+SxhQt5wy2/m/T8UzMzM5vGAgi1/uhsAvYEjgB2BGZnz0cAe5Pe/Pgp4A5JSxpVVnhOo4goRcSPI+JYYHfg30g7vLdKulrSyZL6mjuW+iTtRHrl/OMR8ZGI+FVE/DIi/jkifpoVOx44FHh7RHw/In6RLUuAv8nVtT/wVuAjEfGNiLgMOAl4mDRWs1JuK9JozTMj4gsRcUVEnApcAZzZrmPrJJEkXHjgS9j9qafY/rkxM9KYmZmZDYto/dHh/gVYDxwYEbtGxKsiYlfgZdnyfyDt/z4DfK5RZa1OGvos8Djp1WwB2wD/Adwn6ZUt1lntFKAMfH2cMscDj0fEFZUFEfE8cBFwQlW5QeD8XLkh0knFj5U0K1t8LNAPnFe1n/OA/STt3NqhdLbLl+zNB97+Zzy6cPOpboqZmZnZVDgD+HRE/C6/MCJuIu1cnxERjwJnAWOGGFdrqoMt6eWS/h/wGPCPwDXASyNiN2A/0ivC5zZT5zgOBe4C3iLpfklDku6T9IFcmX2AO2psuxRYLGl+rtyyiFhbo1w/sFuu3AbgvhrlABr+SWA6Gujr49HN0861JpqeYGZmZt2rS8dgA3sAy+use4aRvuL9wLxGlRWdpu/9wKmkneh7gE8A386uFgMQEXdK+hRwaZE6C9g2e5wF/D3pAb0J+Iqk3oj4ErAIeLDGtpWxDguB1Vm5leOUW5R7fi5izB8yqsuNIum9wHsBFi9ePO5BtUtEoPzMH+UyUS6nzxFoYDD9LA8OEqUysWYtrF9PRBBr1tJ/zxNs88Q8NDBI+cmnSbbZipN6bmPt5j2c/bZjKM3ejL5VYs5TYrP7Bph7d4LWrk3THefORoNDMDQEa0F9vWhWPxEBQ0IDCVECZQmPQNo2JSMJjUma5hiJUORS0SrJj5Xn6lQ1Jem6yrFXp/klgnKaPqdEY4L+Kulpkhh+m2sl+VXS4sqRJkgmqpnwNipdspkUuXzqZKO21Ny+aiybkvET7iaqKiUTWgxRVDL6nI2qP6uwTppfze1gYsmWrST/tSMtsGad2Zeg01LxKu+Nan8HxpavSlwt1/ku58vUk/sOtvy7f5F0yHbIH19VAmbdz26d9eOmPOa+Q+0IMm2oXqLsTDfZibqdrPPHUrfqQeDdwM9rrHsvI/3NLUhHcoyraNDMl0iHXfx1Nn65nnuBfypYZyMJsAB4Z0T8OFt2eTY2+zRJ/8pIsk616ne/3eVGiYhzya7cH3TQQdP2G7eut5/DHryD76x6JU/Pnt94AzMzM5tRNG17OQ19BjhP0m3Aj4Cnga1IJ9DYl/RePoA/AK5vVFnRSzE7RcSJDTrXRMRjEfGpgnU2Uvnt4FdVyy8BtgZeRHpludZV5YXZc+WqdaNyK3LPC7PZScYr15V+te1LgOCEW26e6qaYmZlZp5nI8JAO75hHxPdJZ6VbTTpy4qvZ8yrgmIj4QVb0o8CbG9VXtIM9V9KhtVZIOkTSrgXracbSOssrnd9yVmafGmWWAA/n0ieXAjvXmLt7CTDAyJjrpcAsoPp4KmOv7yzW9Onp2dmbcM2Oe3H00tuZv379VDfHzMzMbKPJZqx7FTCHdAKPORFxSERcmiuzPiIGG9VVtIP9JeCP66x7I3B2wXqa8d/Z87FVy48FHo2IJ0nnwN5O0uGVlZI2Ad6Qrau4kHR+7DflyvWS/gZySURsyBb/grTD/baqfZ4M3BERyyZ0RNPAT/c6iNmDg7z2ltumuilmZmbWUSYwB/Y0GrsdEeWIeDqi9RsQio7BfhlwTp11VwJvb7UB47iYdP7pcyRtATwA/AlwDPDnWZkLgetIx8x8nHRIyGmkV7k/X6koIm6RdD7wxWyu7mXA+0knDX9brtzTks4mHeO9CriZtBN+FKOn/etaD2+2JV95zdHcsOdOw/dcmZmZmQEdP9RjIiT1k4YM7kkaNJMXEfHZonUV7WBvQjrJdi0DwKZFd1hURISkPyK9afIfSMdB3wW8LSK+l5UpS3o98AXga6Qn4zrgyIh4pKrKPyedGPwMYDPgVuC4iKgecPwJ0vE3Hyb988DdwEkRcVG7j7FTXbZkX0qzg75VU90SMzMz6yhd2sGWtC1wNbAT6VFWLrnnj7hwB7voEJEHgCPrrDsSeKjoDpsRES9ExAciYuuI6I+IF1c617kyKyLilIhYFBFzI+I1EXFrjbrWRcRHI2KbiJgdES+PiCtrlCtFxBkRsWNEzMr2+cPJOL5Otvdjj/OxS35KT3ljzANlZmZmNqXOIp3vejFp5/rlwC6kF2fvy14XVrSDfR7wUUmnVuLQJfVJOhX4CPCdZnZqnW/++vW88v57OfShu6a6KWZmZtYpunQWEeDVwP8lTSoHKEfEgxFxOvBD4F+bqaxoB/ufSSfe/jdgraTHgTXZzxcDZzazU+t8v91lZ5ZtsSUn/P4GEocMmJmZWdDNNzluDjye3di4hpEpmgEuB45oprJCY7AjogT8kaRjgKOzRiwnnYGjXcmN1qRRgZPZ6yhlneEs6TAiIMrE0BAMMVwm1q1DEcTgIDE0RKx4jnl3lJl7Xz8aHKL87Ep+ve3+vOu5S9l9s2Vc+oG9iL5t6VkrZj8rNr9jgLn3CF5YjebPJ+bNgXIZrdtADAwiBqG/D/X2psmSlTaQJheqtxf6etHQUJpYJqXpZMpSHnsS6Okhylmj80mFEsoSIStpZ5VkszQdkuE0x1ryZQFiMn6tHpXwmEv8qpPSJ4kYlQRX8B+i4STMJo9hTBJk/bTKthiut1RjWR2V9rT6C17lvFenfdZs3tjUz1HtaGKkVKPUvlzB4pW2qsbnaNxjbVYrKYmtHnezCZdF2lZJqWxn2qPyyZWTPMQuS3WMUV+rNr6/NfZXt/LKunplCnwPp0w7Uhk7LYF1EnVx0MyjpCmNkKaHH8NIOvnB1L8XsaaiNzkCEBGXkAa92Axw2yY78ui6zTnxluu57MA9iPEDLc3MzKzbdW8H+wrgcOB/SGfO+6qkA4BB0imi682mV1NTHWwASYsYO3UJEfF4jeI2jYUS/mvPQ9lkzgskEZTdwTYzM7Pu9Emy1O+I+LdcXspc0qmfP9NMZYU62JIWAP8CvCXbUS09zezYpodbt9qZVYsTSj3T4w4FMzMzs2ZFxHLS4c+Vn78MfLnV+opewf4KcBLwbeB2YMO4pa2rJOUyx9x+B08tWsDtW+001c0xMzOzKdLFY7DbqmgH+7XA32S9eZuB3njTjayb1cfHTtwRPFTEzMxsZur82UAKk9TMsI+IiP9TtHDRDnYC/L6JRlgXKScJF7zsYD506SUcvOwBbtt0t6lukpmZmW1s3Tda9JOMTm0cTwCFO9hF50v6L+APi1Zq3eeqvfbiic0240+vvxZ5XmwzMzOb/tYAq4F/B46MiGScR1P3GhbtYP8UeIOkcyX9kaTDqh9NHpBNM6WeHr53yCvY6dnlvPKhe6e6OWZmZjYVuivJcWvgg6Tx6JdKWibpM5Im/Kf6okNEfpo97wK8m9GnSdnPnkVkY6oEi1QCEsq5q8pRJrKgGcpBlAOVRib4j1KJGBgEJWnITDmIgQFYvQbWbyDKJWL9BnoffprNl89h0W970Ko1PPn0KpZutph4po+nD+ln4KhtKfe/iGRQ9K8U8x4PNnl4A7PuE7FqFVown+jrTQNokgQNDhGDQ6i/fziEhlIJymViiDQ0oacnPaaeHtDQ6ACIJA2YUU9P+gEslRkTXJIkqFweCZtRjASVVMJqAJJk7HkbriYNbhkOrSllQTDjvB3D67Pgl8r+aoU+DAeRTGawSzOqAjGUC0yIiYQv1Dn+0WWm8Vi+6nASJSN3/zQZTjMpWgnpqRUI1Ix2BrY0MPzZqt5nvTZUvm/JyPdz1HOt11Ee/V628H1tFDxUOJhoAtJ/03KvN8ZnUwlQ4/PXyYEzUD90ph1hNF2im25yjIi1wHeB70raHjg5e3xS0vXAd4AfRMTKZusu2sE+utmKrfuExLe3OZLVizad6qaYmZnZVOiiDnZeRDwKnAmcKelA0gvK/wr8AXBis/UVjUq/rNmKrXvNGVzPCbf9nv8+5CUMFB5lZGZmZtbZJB0MvB34E9IUx9+1Uk9TSY6SFgIvBzYHLo6IlZL6ImKwlZ3b9LTLC09x8j3/y+rN+vjZQS+e6uaYmZnZxtKFV7Al7Ug6NOTtwB7ANcDfA/8VEc+3Umfhy4+S/gl4HLiYdEzKztmqn0n6ZCs7t+lp6aLF3LX1dpx0w/X0D/p3KzMzs5lAMbFHp5H0bklXAfcD7wC+D+waEa+OiG+02rmGgh1sSX8LfAT4J+AQRs8XeBGewm9mkfj+gYewcM0a/vCW26a6NWZmZraxhFp/dJ5zgf1JLxyfCTwCHCnplFqPZiouOkTkvcBnI+JzkqpnC7kXcPLIDHPnNtvzux135E9uuIFL99qXQeZMdZPMzMxssnXglegJ2gR4Z/YYTwD/r2ilRTvY2wPX1lk3AMwvukPrHv9xyKt5+2+uZs7AgDvYZmZmNt3s3LhIa4p2sB8H9gGuqLFuP+DBdjXIpo8Ht9ySfzjxj7J5sKe6NWZmZjbZOnEsdasi4qHJqrvoTY4/BE6X9PLcspC0K/Ax4Py2t8ymja2ef56j77p1qpthZmZmk627khwnTdEr2J8mvbnxWtI7LQF+QBot+VvSmx9tKmSJjsOJe5W4ruqfy2UiYjilL0qlNN2xVMqSH8swMIBKJSIiTXtcvz5NS0xEee26NB3y6RUsWLueBbeJWLOW0jPP8sZFyzlqw9089NoXcfchWzHwuh2InqB3rZi9XMx7osyCh9bS+2AQA4No3lxi3hwiSdL2lAM2bEA9CfT3QU8PSpKsbUGQpo+ppydNeOzrTeNDkyEUWUJZJaFNGpXmqKhKLRtOcaukKSY107kq6WqSiCy9rbIsylVJZFXrh7cb730blVCZjH7PaqmVeFgjVU4SJErbCIxKUqvUn6+rQTJd/vjbmk6YaCSNtCo9b9Q+i6pOWauTEKla6Zm541Ki0T9L6XcrS7sc9bmo7C9RmhragnzC3kaVS9NTdbJhvkzRuqo/G5XvYnVRici+GcPnmtHpodUqaar5NjX8fk1EjWTFUe/TmGTHNqYSVs551Yei1fTFSipt+kO94xrv350Wvoe16piM5MbqfW2MpEWnOUKHzgbSiQp9eyJiDXAYaarNzcCVwG2k+e2viYgNk9VA63y/2mRf1vb289bbfz3VTTEzMzObcoWDZiJiCPj37GE2bF3Sz8+2P5gTH7+a/R99kN9uuuNUN8nMzMwmg69gF+Kca2uLK7fZl2fmbcKf3fC/qDwVf/M2MzOzSdelY7AlbSppVrvqK3QFW9K9jH9qIiL2bE+TbDoaSnr5/r6vZvd1j9JfKrG+r/AfR8zMzGya6MYx2JJ6gWeBN5IGKE5Y0V7Q9YztYG8OvAJ4AfDgW+P67ffgyq32ZKBvGvyqamZmZkY6DFrSU7TxruVCHeyIOLnWckmLgF8AP2tXg2z62+vxx9lxxTNcuvv+U90UMzMzsyLOI53M4+J2VDahv+NHxApJnwc+g+fCtswxd9zO4XffxdItF7OSRVPdHDMzM2uX7v0D9YPAWyX9FvgJ8ARVRxsRbY9KH89a0vmwzQD4ziGH8qr77uWd1/6asw/+o6lujpmZmbVDd8+D/dXseTvgwBrrA5j8DrakBFgCnA78vtV6rPs8N28e57/i5bzzyqvZf/sHuU/+/cvMzKwrdG8He+d2VlZ0FpFBxp7SBBCwGvjDdjbKCqgkfeWTtvKJXFVT5UUElCNNRYty+rpUStMZK/WVSumbHJGmOw4OoXKk6YlZqiIbNmRlysS69VAuwfIVzF0/wJwHZqFSmVizlrsH5/FCaT7vuvoKPvrGP2PFkvkMzZtL9OxMMiD6nxcLHi6z4KFN6H/kWbR2LZozBy2YT/T1EhLDOV3rlKY7VlIe+/rS9aXSSApZlvSovt702CJG1is9HiUaToxTT092TsojyYFRSs/ncHJhLmExyZZXx+7ly+ZTCJNkVLJjLcNpdGMSyZLh9lYHoA0vyyfaKUFJuWYCXTNGpeNVjr3yOcqn/eU/e0ViCCtJf1D/9pEaKZH59oxOG2xjKly9c5bbTyV9cLgNRc9zrbY2an/Rc9pwv7XrGPOZrHx+qxL7xhxrpclV2zdKVJSU/ptTY9t8maaMd/5rpKlOKPVxVMpoVQKq8t+J0ujy+aTSWnXB8He87vr88oKfiUb/5tRMf62RJjpucmSR96tQmXGOa7LSH6FY24qWm6nJjl16yBHxUDvrK3oF+58Ze0rXAw8BP4uIle1slE1/Q+rhgm1exaIFa7r5z0lmZmbWRSS9mDS9fHPgnIh4UtJuwFMRsapoPUVnEflka820mezOBYtZvdM8hnp6propZmZmNkFi8sdgS9oBOBs4OtvlpcBfRcTDTdZzGvCPwDURcWiB8rNIZxL542y/QTon9pPA54F7gL8run8nOdqke/kj9/DOa6+a6maYmZnZRE1ikqOkucDlwF7AO4C3A7sDV0iaV7SJknYBPgE8XXQb4HPAH2T73BrIjxP6OXBsE3UVHoN9bhN1RkSc2kwjrLstfm45b7j7Jm7Yc0du3dk3PJqZmU1Lkz+LyHuAXYA9I+I+AEm3AfcCpwL/UrCefwP+E9iT4sOh/xT4ZER8T1L1n96XATsVrAea2OlrgQXAJqR3z6wEFpJeAX8ByI9J8YhbG+V/9j6YVz7xe953+RV86B1vo0TfVDfJzMzMOs/xwG8qnWuAiFgm6RrgBAp0sCW9FXgpaYf5x03se3Pqz4qXALOaqKvwEJGTSDvSJwNzImJLYA7pZfQXgDdFxA7Zw5cobZTB3l6+cehRbLdyJW+88aapbo6ZmZm1ahKHiAD7AHfUWL6UdGrocUlaSDp++28iYkWhPY5YBryyzrqDgbubqaxoB/ts4PMR8b2IGASIiMGI+E/gLOBLzezUZp7fLd6Za3ffjZN+cwObry58E66ZmZl1kol1sLeQdGPu8d6q2heRjpKotoJ05EQjZ5HejPjtpo4p9R3g7yS9DejPloWkI4GP0ETIDBQfIrI/8Kk66+4G9mtmpzYzffPww/nfvfbg2Xnz6X9hqltjZmZmzZrgGOzlEXFQgzK19tBwYnJJrwb+DHhpREsTlH+etL/7XeCb2bKrgdnADyLiy81UVrSD/RTwJ8Cvaqx7E83dpWkz1LMLFnDNZgtIBkRPuUSB74uZmZl1ksm9024l6VXsagupfWU77xzgW8CjkjbLlvUCPdnP6yJiQ72NI6IEvEXSV0lnDNkKeBb4RUQ0PRVa0Q72l4D/K2kb4ALSDvfWpGOz/xD462Z3bG1SScLKUsMqyYaqLlOOrGzPyLIs3XF4uyz9cFgu2bGS+BhDQ1nKV5kYGkqXrd+QJm8NDqbpkOvWQ6lE8sjTbPrsHDbp7UFDJeK5FyivXsPBWw5w3MBS/vaEk3n0qDkMzt+O6N0WlaFnveh/Tsx+Nlh41zz6Hl+JVq8hmTMbLVgAfb1EXy8aGMwSJ4MYHEhTHPv7oC/9q47KJRhU2u5K8mFPT/pI0teqHGPE6DSzShpaT0+a9FjZrlSCci6JL59QKKWvkyRtVz7lrUaan6SRtMdkJJURsn+76qW65ddVti2VR7ZPis+8OSqtr5IMmVTVkXtdSTQcaVuptcS1SuJlUr1Y6eew3jHk2jjRsMNxm5dPbkySMamoQPrelctpomjlvOTaOWZZvv5Jbn+9/TVM+YPGiZv19pF9/humJla+H7WW15JPWs03qupzCSP/z6/XhjHJjrljrblNlsbYdBJk/ntVaXKt73N1KmrVOiXlcdIUc9/B4bpKVeuzfxfGTSttQrPlm6q7iYst4ySVjqqv8jmbqWmL09dS0nHY1ZYAdzbYdu/s8b4a61aSDvP4YqMGRMT/Av/bqFwjRYNmzpa0lnSYyBtyqx4H3h8RzUzjZzPck32bsvmqVbzt1l/zpe2bmlbSzMzMpkrxmxVbdSHwBUm7RMQDAJJ2Ag6hccjLkTWWfZH0yuJfAvfVWD9pCv9KGhHnAIuBXYFDs+fF7lxbsx7t35xfbvtSDn9wKS9+9KGpbo6ZmZkVpGj9UcA3gAeBn0g6QdLxwE+AR0iHgKRtkHaUNCTp9MqyiLiy+gE8Bzyf/fzomGORSpIOzl6Xs5/rPYaaOU9Fh4hUGl8mncZkWTPbmVX76XYvY78Ny3j/ry/lg7uczLpez41tZmbW8SbxCnZErJF0FOnsdd8lHfF6GWlU+upcUZFemZ7o2KXPAI/mXrft6Ap3sCW9GPgkcBjpAPRXRMTNks4Afh0Rl7SrUdb9hpJezn3Z0Xzi6gt4yUMPce3eu011k8zMzKyBSU5yJCIeBk5sUOZBCsyUEBFHNFj/D7nXny7UwIIK9fwlvQq4nnT6kh8zfKfccB21BpS3laRfSIqsQ59fvlDSNyUtl7RG0qWSxkwbKGm2pLMkPSFpnaTrJB1Wo1wi6TRJD0paL+lWSeO+0daau7fYjg+85RSu2333qW6KmZmZzVCS+iWtyIaktEXRS+v/THqJfm/gQ4z+reFG4MB2NagWSX9K2rmvXi7SAfHHkQ5gPxHoA66QtH1V8W+RZtyfDrweeAL4paQDqsp9Fvg08BXSiPjfABdIel27jsdGPL3JpgDs8cQT9A01NbzJzMzMNrbJTXKcEhExAAwB69tVZ9EO9oHAV7Mx2NWnaDnplH2TIpu78GzgozVWH096w+XbI+L7EfGLbFkC/E2ujv2BtwIfiYhvRMRlpFMMPkw65qZSbivgY8CZEfGFiLgiIk4FrgDOnJQDNLZdsYLPf+983nrtdVPdFDMzM6tnIp3rDu5gZ/6HNPOlLYp2sDcAc+qs2wZ4vj3NqenzwNKI+H6NdccDj0fEFZUFEfE8cBFwQlW5QeD8XLkh4AfAsZJmZYuPJY3HPK9qP+cB+0naeYLHYjU8vmgRl7x4P954000seXzMTb5mZmbWATTBR4f7OfBaST+UdLKk10g6Kv9oprKiHeyrgQ9Jo2aar/wucgrpFd62k3QoaezlX9Qpsg9wR43lS4HFkubnyi2LiLU1yvUDu+XKbWDsXIlLs+clxVtvzfh/h7+aJzfdlA9d+ktmDw5MdXPMzMxsZvkRsB3wx8B3SNPLL616LqzoLCKnk3ayf0ea5BjAyZI+D7wCOLiZnRYhqY90zsMvRMTddYotIp0vsdqK7HkhsDorVytis1JuUe75uRoZ9tXlqtv6XuC9AIsXL67T1I0gFw9XOYRKsuOwXHKjqhPqyjEqXS/yyY6VesplYnBodApkqQwDAyjK6etSKU18XLc+TVJUQpRLxLp16c/LVzJn/QCzH+wDCa1eS+mZ5fz3/CV8eMM1nPqLK/j6ocfwyDHzGJo7l3L/tqiUpjz2vSD6nw/mPV1m/j1z0FPPwrp1aO4cNGcOMbs/TaQcShMlFZEmMEKW9tifJs719aXnqJQgSI+JNPVsOGWxJ4GehCiV09dZ+qBiJIlvpGyW9NjTk57XJBlJesynrA2nMKb1Dac6AlFJdKwkGlbK57etTrSrJEiWk5GfsxS49L2p+2nJ2pG7ppDk6sgZPieV8tWfqVGFq1LTqtpbM1WuXgJglnQZ5RrXAaTWExGr2lA7KTCXwldJHxzvXNZLQGwl6bIVw8mhBa4R1UoXhTHnZfh9qSSdVj6GVcmJtZtTSUtMhr9/9cqNmz5aI0lT4xzjqHVJMvp5VME6+2yURpnUSO4cR6H0zHxbKuXH+47V3L46xbH5z1ylrUW+U/l00LamktZKpBxvB7W+X422sYnr/KEeraoVVNOyokmOv5N0BPAF0hsABfwVcC1wZET8vp2Nyvwt6bCUz41TRtR+q6v/VWt3uVGysJ1zAQ466KDu/ehNsmV9W/CLBS/l+bkLsk7aNPiDkpmZ2Qwy2dP0TZWIuKqd9RWeBzsifgscLmkusAWwMiJWtbMxFZIWA58A3g3Myo2RJvt5M2AV6ZXlWleVF2bPlavWK0hTKOuVW5F7XihJVVexq8vZJLl4iwNZu8O8YlfizMzMbOPq0g52uzXsYEvqJ025eVdEXJSNY354ktu1CzCbsTcbQjrLx8eAl5COjT6mRpklwMO51J+lwBslza0ah70EGGBkzPVSYBZpDPx9VeUA7mz+UKwVL3vsXva6/yG+ctxrpropZmZmVtGlHWxJlzcoEhFRuFPS8CbHbG5A0ca5AQu4hXQsTPUD0k73kaQd4AuB7SQdX/21GAAAIABJREFUXtlQ0ibAG7J1FReSzo/9ply5XuDNwCURsSFb/AvSDvfbqtpzMnBHRDgifiPZas3zHH3X7RxzR617WM3MzMzaKmHsxCdbAIcAe9DkuNWiQ0QuJA1xaeoOylZFxHPAldXLsxtYHoqIK7OfLwSuA86T9HHSISGnkZ6Ez+fqu0XS+cAXs5snlwHvB3Ym15mOiKclnQ2cJmkVcDNpJ/woRk/7Z5Ps4t1fyt5rH+LdV13J0h1fxKMLN5/qJpmZmc1s0dVjsI+otVzSrqRzZP9jM/UVnabvQuAPJf1A0lskHS7psPyjmZ22SxZ883rSjv/XgP8mvX36yIh4pKr4nwP/DpwB/AzYATguIm6uKveJrMyHgV+S/uZyUkRcNFnHYWOFEv71yONY19/Hx3/6c/qd8mhmZjb1ujdopqaIuJ80bPCsZrYregX7v7Pnk7JH/jRVZt7oaWbHrYiIMZfnI2IF6VzcpzTYdh1pGmStRMh8uRJpB/uM1ltq7bBy3ny+dMyxfOrC/+GQe+7h17vsM9VNMjMzm9G69Qp2A8+QDhMprGgH++jm22I2cTfvtDMfPflPeWDLrenZmHcBmJmZ2VgzrIMtaRHpxdn7m9mu6DzYl7XSKLN2uH+brVEJdljxLIMbZrGK+Y03MjMzMytI0jLG/vrQD2ydvT6xmfrqdrCzzPUbclPdWYeJchRLCksLp+VzA3kiIk28isgG+pTTRMBkJI0vItI0xNw2ikgTGStpWZGlN2apbVFK9xVDQ+ktt4nSZaVy2o6BAVgrWCfo6SGyxMdYs4bk0adZsHIOC7L0vFi9lvLKlczadD6f3nA5T266iM8ecRLP79TLUy9bSLl/MyLZFZWhZ63oXStmrwjmPFtm/kNr6fn/7J13eB1Xmbjfb2ZuU5dsuXenOHHixE4nIYUEUggJvbNAgAALy7L8loUsHbLLAkvZXWBZyi4sCRtKgCQkhPQQUglxmtNc5N5kq1jS1W0z5/fHmbl3dCXLsmVHsvS9z3OfuXfmzJlvzpw7OvfozHl3dhG0+xAESG0tUpO2x/Rcuy5fxIiDFAqYUmhdTCSsuTFlp1+XUgkcF/wA8f2yZVGc0ELnupDwrEHSdTAkyhZIGOLHviOhgTGyRbq2DMs2vtDEuBcjW3TNyxbJ0DCJ44SvmIVwb1azmD2ubK4LLZBDmu+idb4/2Fo4yN4Y2SQltipm/wvLTYIgNChWYrLnLYPrdWTFjB93hJRtc9H5xbfF51uPTJlx++AQZkqRyvUDBqQvx11tf4zyiV0bcSrxxE2J5Vj21wB5oAa7eNkOtTlmNhxYXjLYljhE3Yn2j8qtUt+GNocOwnHArzqv6FqKGWwg3Zu5MTSDxrcPME4OZXeM0g9l+oyW8esZt57CwPMcqozjl3hv16Bsaq2qY1XvhyzHqE7E4x/0fnjiNtVB9bQ6nb/3NAOsj3uLdfhA9u87EdWRvd7/goHf7eHyqU43yT0NE3iIyL0M/pOdAzYAvwzHYo+Y4XqwbwfOAB4BEBEHO7PHe4wxq/fnIIoyWori8qvW03nn7nt503N/4kfTzx3rkBRFURRlcnEYP6y4L4wx7zqY+Q3XwB5KI34WUH8wA1CUkfJYw2LmpLq5sO0xVi2YxT2tR451SIqiKIoyuZigDew4IlKHtXh3GGP6DiSPkU7Tpyjjgl8tOJM1TTP5wIO3MbOrc6zDURRFURRlgiAiF4rIo0AXsB7oFpFHRGS/J/sY6SwiijIu8B2Xb694JWfvfpL2+oaxDkdRFEVRJg3CxB2DLSIXYj0pa4AvAduBmVjh4C0icokxZsTCxX01sGeLyKLwvRtb11Wd0BizbqQHVZTR0Jmp57rlZ1FyDZl8jmw6yX4aTBVFURRFORAmaAMb+DxwG3BpKDIEQES+CPwO+AL7YTTfVwP7V0Os++1e0h5y0YyixGnp7eHLv/45N560nJuWrxjrcBRFURRlwiMjmX3l8OQE4A3xxjVYa7iIfBf4xf5kNlwD+90HEJyivGh01tSydto0rrj3PjY1T+GpaQvGOiRFURRFmbhM4FlEgDywt7Gn9eH2EbPXBrYx5if7k5GivNgYx+FbF13IV37+Cz5+8y184jVvoT3ZMtZhKYqiKIpy+HEP8CURecgY0xatFJF52OEjd+9PZjqLiHJYk0smufrVryJwHP7x9zdSU9ivH5iKoiiKouwHYg78Nc75BNAIPC8ifxSRn4vIvcBqoCncPmJ0FpHJSrXdygSYwLGmx9BUWF5KMDB9EEBgykZDExhrOXSsMTFKa3zfGq98rJXR90O7nQ/FkrVCug6mVLLbiyXIZgccq2x5zPYj23dTuydLrQjGc5FCEdPdg9/Vxf+1LOcCp43pj+dpn52kZ45L+wl1+JlajDsbAKcguHlI9ApeH6Q7A2q3Fki29yEmgEIRSadwamsglcSkktbOWCxVzr1YgCAoWx8lmQDXRRIJu93zBpgfCQLEKWFMaF90BHFdxHWtUTIIQuOjYx/TDAy4fiW9qdjPIlMcoVUN1w0tjtaKiOtaM6RIzJDoD2szK9sgI2NdlYkOsHlJxR5pTMVkGdWBveIIYmL2vLi9L1wXxVC29VWb+YaIe791jvHd4/lGx4pbF8M0JrI6BkHlc7RPuL46z7KpckhTXcXUOeT6g0zZqCdVZR9ek+oqMcBAGKsbA6j+XG3drLYpVtse45bMeLqh7IsRMXtopZ7GDaBV17NczsMvo/OV2PWSqnppqsaaVurqPupfVf3Yq6WxyvJYrkcO9nseb5HETYZxq2m1uTX+eW+MxJqIP3JT8JBZxMyOweD15eMMrohDxDJCQ+lw36W9mSDjMRyoDXWyMf4bygeEMeYFEVkG/D/gpcAKoAP4N+Cbxpht+5OfNrCVCcHaRCsvzFpCPpGxjWV95lZRFEVRDjqHQU/0ARM2ov/+YOSlQ0SUiYMINcUcVz14PeesXTXW0SiKoijKxMOM4jXOEJGXhdbGg442sJUJRd5N4DsOVz5yO8s2bxzrcBRFURRFGb/cDhwbfRARJxx/feRoM9YGtjKh8B2Xfz/pUrY0tPCJW29i/q5dYx2SoiiKokwMRvGA4zgdWlI9cF+As7DT8o0KbWArE47+RIqvnPsa+hNJPveb3zKlp2esQ1IURVGUicEEGiJyKNEGtjIh2V1bz9WvfDU96TSpUmnfOyiKoiiKMizChOvBPmToLCLKhGX91FY++ra3EiQcO91eYNDflIqiKIqixJgtIovC925sXVd1QmPMupFmqg1sZUJjHNu4/tDtd5LK+3z77FegU/gpiqIoygFiJlxX9K+GWPfbvaQdcQNCG9jKxEeEnQ0NvOO+B+jzUvz0hPMY/FyDoiiKoij7YoIN9Xj3ocpYG9gThWr71FCGPROA2UfD0gTDW74CYy1jQ5ggCYKK+cxY22NkPIsb0Ywf2PXG2GceIuOZCdcXiuX0Jhw/bYolpD8Xpg8NkMUipr8fjCHY04ML1OxKklmXBNdB8kXozxF0dvGESXBEzWJee99jONtS/GrZGeSaHboXpSnVpPDTzbbNbcApCm5OcHOQ2WVIdQUkegPS7f04XX1I1x5rfUwmkNpaSHiYVBIpljCuY82PEloXC0Xw/Yrx0HURz4PIAOkIkkrZc4wsYsYgUbmVbZqONS+6rjVrOuH7hGfDDq2YhIbI+FW2Rs3QYiahgTKyQrpuJa7QAlleF+FU7HZ2qE1o6iRuC5TBvRrxelQ2/EnFhhcEFTNfVF6BU7YmiuvapRMMMEwa4mUiw5oqQ5XcgONXziu2npgpM74uNGXGbYKIVNZLWOZBMMhMKeE5GVOVH2ZwPGKtfdZ6N4Tpcageo72sH2DK2wfROQ+yNkZWzegYErMKDmXCjK5DVCZxo2NkPYyXW3Tu8bLaCybaL3beNp/QWFhtday2Q+5rWb0uFrsEQaVuxrZH8ZSvcbm4qo4fmRWjbdXnhhnSnlquJ1XvR0q5DkTm1wEmTAkFr9F3zlSunz1glMmgPGMfhl7ub4yBGfL7W21/HPLcBq4c3sA4ElvqkPbVYfIdYICcRB02E+xhRWPMTw5V3trAViYHIvy28STSGeGyDQ/R1Zjh5qYVYx2VoiiKohxWiNrkR4Q2sJVJgxHhZ7POwXQ57KhpGutwFEVRFEWZoGgDW5lUBOLwwyUXkW+0/9Js6ethZ80hsaQqiqIoysRjAg0ROZTonGXKpOWkLWv4zi/+h1Pa1o51KIqiKIpyWKDzYI8MbWArk5ZnWueyoXkq//D7mzlpXdtYh6MoiqIo4xuDffD5QF+TCG1gK5OW/mSKL138WjZOmcJVN/2O5W3rxzokRVEURRnXaA/2yNAGtjKp6Uul+dzlr2NzSwufuuEmpnd1j3VIiqIoiqIc5uhDjsqkpzed5jOvfy1nrFnDjqZGnOJYR6QoiqIo45RJ1hN9oGgPtqIAPZkMty07HoDFO3Zw8np98FFRFEVR4gg6RGSkaA/2YYoZytQ44p1Dc1d1HiYA3KrPDDDR7SUYa58zxpoeo3xNUNk3MAONWMZgfN9ayoayPPp+xQJn7L7G95HIjOi6mFLJpsfaCk0uB6WSTeM4mHweCkWCQtHavzq7cHN56nanqYOKdTFfwBQK+J3duHW1fIDHWVLawQ+XXMg9y5bSO9vFT7sU6zyCRD3Gm25tloBTENy8Xaa6wO03pLsDvGxAqiOPu6sH6RTE77XpM2kkk4FM2h6/5GMyKWtIzBWsEVAcKJUqdsxizLjnedbaKAKpFOK51nRnDHieXe/71pYXBBWjY/xaQNkKKZG10ZiyBRIvdlswQZjOWukMVKxlZdtf1bWlYn0T18UEpnIc3x9gjTShCbESNzaGyDIXszvGbZJxQ150PgP0btVWuuico3zipkEYYOYT17XnGZaJmAATuLZuRfu7btm2WbE6Vmx4A4yFcRyn8qDPvux3cVPjftocy/mLiVkIK0bB+B6DyiRK6zhl42Zk/6u2fJbzcpyBRkInMo/G6kyYptoEKe4+ysGE94GovOLHqrYgxqyQIvZYUf5lQ6iIrZ8xY2E5j3g9iyyT4b1mwPaozAdYJJ1KOUblFsVRnbZ8bmbo7fEyj44XVe9YvEZixtDQ3Fh9fQd8Txh8/au3l9fFjlf+EH9fTbQtvoy3qAZYHwfnEd0zBn6NZdi/dUMZH+Omx31aTePWyrKVsepeEo9/WFvkJOmvnIQPKx4ok6RGKMrI+XHLS1lbO4P3rr6NczY8PdbhKIqiKIpymKENbEWpIu8k+M7CS1jVNI/3PHE7Fz/32FiHpCiKoijjAh0iMjK0ga0oQ1B0Enx3ySU8OvMIjtuxCRnuX4OKoiiKMlkwo3hNInQMtqLshZLj8e2TXkmx0WDEoS6XpddN4TPEmEVFURRFmQRMtp7oA0Ub2IoyDIHjUHKFhF/iizdfz87Ger526cXkU4mxDk1RFEVRXlwMgydIUIZEh4goyggouh63HXs8p7S1cfWvrqc+2z/WISmKoiiKMk7RBraijJBbjz+Br17ySha2t/OV637BtG61PiqKoiiTDB2DPSK0ga0o+8GDRxzJ5177WpqyWf7mD3eMdTiKoiiK8qJyqGcREZG5IvIrEekWkT0i8msRmTeC/U4Wke+LyHMikhWRjSJyrYgsHO05Hwg6BltR9pNn5szm4295E0XPSjckqBL0KIqiKMpE5RCKZkSkBrgLyAPvxPZ7Xw3cLSLLjDF9w+z+ZmAp8O/AKmA28BngURE50Riz6ZAFPgTawJ5AmMiWuB9GqSEtWUNMSTcgXWRrHGrqupFMZxcaCq3d0ZQfmDCBQZzAWh6NQYJg4HFDw6Mplew8Hr5fOZ7vY/wACYrWDCkChaI1sJkA44MplkDylWM7gsnnK/bIwCfI53E6OvHyBbwtDpm2FLgOki/a4/TnMH1Z/J4eamtqaJmZ4529D7KjoYXrlp9FodalZ66Ln4zMj7UEyen2f0UGxAcJBPHBzQuJHnBz4GVDA2SfT7Izj9ubR7I56O2DfB7xPCSdQtJpa27zPEwqgUl4NrYgsPZK15rnKJXsORWKUCiEYrLQPBiZFF0XEp613TmCJJN2eyoZu1bG5pUIt5WvnwHXt2Udl57FbG2RrbF8LAgtjqEt0g+QhFfZboy1I3peOY21KvpleyLYHzSRddEwhO1NqmZ5cQaa/uI2wsjyZwLXmimdWCwi4DpgxMYaHd917Prw2PH0xilVjJiRcVIGxlaxHw58jx+Vnz9yA92Aog/3qTpm3FJZLgOJmSfj9sHYPmXDZsxkKNXHdd2BxsZ4GdmgkDCWcp6BKZfDgLqxt1MlvD4UKxZD163EG7+e0bZoGW4vXyeImS1j98kojVOpt3GLZWSBjLabyLgas3dGlkqJHdc4pYFmyOpzG8osGn6XJbI5SsVaaUxkOA3zjOrsoPxsHYhMueX4q/42lI2Q8XIhZnsMjalipPx+gEW12gI5wNbI4PdVacUJhv4bFNsnqtcSnf/e8tyHabFsfRRnsO1xHzEMPIa/98+ThEM8i8j7gEXA0caYNQAi8iSwGng/8I1h9v2KMaY9vkJE7gfawnw/e0gi3gs6RERRRoFg6HeTXLT1L3zo8VtIlYpjHZKiKIqiHK5cBjwUNa4BjDFtwP3A5cPtWN24DtdtANqxvdkvKtrAVpRREIjDz2adzS/nn8WKnWv47H0/p7VXH35UFEVRJiCjecBxZD3fS4Gnh1i/Cjh2f8MVkWOAacCz+7vvaNEGtqKMFhHunHEi/7bicqZm9/DJu3+j5kdFURRlwiGAGHPAL2CqiDwae11ZdYgWoHOIQ3cAzfsVq4gHfA/bg/2j/T/b0TFuG9gi8noRuV5ENohIv4g8LyJfFpH6qnTNIvJDEdklIn0icoeIHD9EfmkR+ZqIbAvze1BEzh4inSMiV4nIehHJicgTIvK6Q3muysTgidaFfPact/D9016OETuG0j4AqSiKoigThGAUL9hljDk59vr+EEcYqq/7QBTK3wZeArzdGDNUo/2QMm4b2MDfYx/7+UfgIuA/gQ8Ct4vYpw/EPqFxY7j9b4DXAQns06ZzqvL7EZVB7pcC24A/iMiJVem+BHwee2EuBh4Cfikilxzk81MmIDvqmnl+mh3q9frHHuGTt/yOmnx+jKNSFEVRlMOCTmwvdjXNDN2zPSQi8mXgSuAKY8xtBym2/WI8zyLyqqoB6/eKSAfwE+Bc7DQulwFnAS8zxtwNICIPYp8Y/QfgI+G6E4C3Ygv6f8J192LH9HwxzAcRmYZt2P+LMeZfw+PeLSJHAP8C3HLIzlaZcPSlUpy8vo1vXPt/fOWyV9LW2jrWISmKoijKqJBDOE0ftl22dIj1xwLPjCQDEfkU8EngI8aYnx7E2PaLcduDPdTToMCfw2X0NOhlwNaocR3u1w3cxMCnTS8DisDPY+lKwHXAhSKSCldfCCSBa6qOew1w/FhNVq4cntxy/HI+/drXky4W+dq113HJ408c0vlDFUVRFOWQcugfcrwROF1EFkUrRGQBcGa4bVhE5CPYebM/ZYz5jxEd8RAxbhvYe+GccBk9DTrc06bzRKQulq7NGJMdIl0SOCKWLg+sGSIdHMATrMrk5tlZs/nIO97GU/Pm8r677mF254s+DExRFEVRDhKhv+JAX/vmB8B64AYRuVxELgNuADYB/xUlEpH5IlISkc/G1r0Z+BZwK3CXiJwee73o7bfxPERkACIyGzuc4w5jzKPh6hbshaimI1w2A70M/1RqlE+07DJmUC2oTqcoI2ZPTQ1ffM1lLN6xky0tLUgA0/Z0szvVNNahKYqiKMp+cShFM8aYPhF5GfBN4KfYhxvvBD5qjOmNh4FVKMc7ii8K118UvuLcix1e/KJxWDSww57oG4AS8O74Jkb2tOnBTlcd35XYwfTMmzdvuKRjxiBT1YEOVdibKTKy+1UdM7K4YYIBxzTGVIyO1fsE1qxoYoY2E8R+AQcBxvftMm6B9H1MaCUEymnKVFsgHcEUijZdPE2haPWKgBSL1siWz9vzzucJ8nlrm8znkfbdeL1ZPCBVX2vz8FwkV7BWxZ4+TL5A0NsHjnBUQx/HJrq4svNefjf7VG5cejr5Wo9ijdC9wMVPuZRqEwReHTgQeCacF8laIAkENw9OwdogHR9SnQYvC27R4BQNqc4SXm8BJ1fE6c1BTx/kctBvy0KSCSSZtMbGdMqa33wfU5O2cdeko4tUMRqGWnjyBWuxC6+HhO+NDxhrICxbHF0XSSatBTCZqFgAPQ9JJiomzlTKbguMtWamktZemUiAV6zY8cK8TRAgblAx1hGztIWU60BgzZYmtLcRWSxtooopLzRTEhkkwR7H80KrqKncGFzXrpegkj78XkhkqnQdxDiYyIIXxeW6oWk0ZiSM3jsy0JqHP6T9b0giS5+YihUyyqva1Oi6tuxhoH0wZuUzfhhTwoPA2O1+WD5ROgmNluVyDc87+uxY42iZyOAZ3Sci46XjDjYCVuMHoWlRKvlEFsX49QxjsPlHhkV3YKyeV6mjgHFCY2es3tpr5VSMkK41SZa3+0HlejqlmJnSZZBZMiz7agumie5n1dujOhLlUf05bqn0/ZhNMmY8LZbKeUl03ShWrpVTqpSXiZk2iayOTrm8yxZIKobHAcvonhurd4OWDLGMzscRTBC3TPrlejmknTE61+h9ePzy37joexD9rYre2xNgOKqtjuXYhrA17tUAqYwaY8xG7KQVw6VZT1XbzBjzLuBdhyqu/WXcDxERkTR23M0i4EJjzObY5g72/rQpVHqt95WuI7ZslkE+4EHpBmCM+X405UyrPsim7IN1yVZW1i3kVdse4ROP/YrpfTpsRFEURTlMOLRDRCYM47qBLSIJ4HrgVOASY8xTVUmGe9p0Y+zfCauAhSJSM0S6ApUx16uAFLB4iHQwwidYFWU48k6SH888jx8teDkzsp186U/Xcl5bddVWFEVRlHGGAQkO/DWZGLcN7HCu62uB84HLjTEPDZHsRmC2iJwT268BeBUDnza9ETs/9hti6TzgTcBtxphoouJbsQ3ut1Ud5+3A08aYtlGdlKLE+EvzkXzu1Lfx3JQ5BCMdCqAoiqIoY4n2YI+I8TwG+zvYBvE/AX0icnps2+ZwqMiNwIPANSLyceyQkKuw43K+GiU2xjwuIj8HvhX2irdhpTULiTWmjTE7ReSbwFUi0gM8hm2Ev4yB0/4pykGhK1XHN066nGKNbWCfveYZSPrccdxSDkxcpSiKoijKWDOeG9gXh8tPha84XwA+b4wJRORS4F+B7wJpbIP7PGPMpqp93o1trF8NNAFPABcZYx6rSvcp7MwjfwvMAJ4H3miMuemgnJWiVBM9CGUMZ7Y9z/ItbZy95jn+8/zz2TJVZxpRFEVRxhGTqyP6gBm3DWxjzIIRpusArghfw6XrBz4WvoZL52Mb4VePKFBFOViI8C8XXM55G57irx68j3+/5qf87CWn89uTV+B77r73VxRFUZRDzCE2OU4Yxu0YbEWZjBhxuG3pMj789nfy6IKF/NV993P0tu1jHZaiKIqiWHQM9ogYtz3YijKZ6air4yuXvopFu7axZuYMAE5fvYanZ8+lX9JjHJ2iKIoyKTHAJJsN5EDRBvZhzsGe6N4EpizpKHMgxzBmn8/omcDYJHGRgAkwxlQkNdWSgcBu3+u/qIzB+IGVJhhTkTlgxQ4SihmM74NxMMXSAHmOCQz4PlIsVeQOpRImX0Bcx0pTQkmHCYyV0ogVtUgobMHzMLkc4nkEfVkrcfF98MFks1AsIN0uyZ0JEjtqkYKVqZhkwopxHMceP9sP+TxHdG+gIWH4tH8feS/JDTPP4P5Zx1HKJPBTDtlWj2Id5D0H40LHsS5+MonxIPDAuLFrIUA0XZIRxICUINEjGAeSPWBccArg5g1uHtKdPk7J4BQCvGwRp7+IFH2cniymUED6cwT9OYwJyhIWSSatXCaRsAKguhorpCgUMZ6LiQQmiQQmlcA4DpIvgB9g6mvK+4gxUCrZfOMzrRhjj+OWrJQiMOVx7GXpiiMIVrIhCc+KQJKJAfITcRxwHCvNAEh4SCppBTEA6RRirGQm+l6Uz80PwnNNhHIOsfUr4SGplN3H8yrDFQNjxS3GxKQ3bvk9fmClIoEpS3UGip0GyprK6yPBTyj2iKQ15bzcSLQSE6hE8p1IjpLwBko4/MCui8QwpVBM4nllUYg4Yq+v69rrWChaOZA4lWVYNuK65fpgAlOW8uB5iFd17GpCCVEUb5QPoeRFEolyPGWhUVUMxGONziGsB1H85XVReXmevSaJBBRLlevkeUh0n0x4SKFQlrOUJTgRkYAnup7x04KyrKUs0Im2+b7NMy6DiclkyrKksG6bUkUcY6+vrTviuuXyF6ciwzHR9yMmPioLiaJjlgVITkU45VREQtHxo7oYyYgGLSMZTSwWE0p9Kv4Wf4DAKBLZ2O92KIspn39M3hTfxwmsFCYS3EjV+3D/SIYVl9GU9y2/p5IulNpU5FWV715ZcBWJrBQlhg4RUZTDgB5J8fWGl7HDa+St2+/jH174NfN7d4x1WIqiKMokQrAdXAf6mkxoA1tRDhO2eE3825QL+MnMc2ku9vL3z/6aumJ2rMNSFEVRJhM6BntE6BARRTmcEOHRhiN4YvqRLCzuoDdh5aRnbXiWh+cfQc5NjnGAiqIoyoRmkjWUDxTtwVaUw5Ccm+TppgUAzN3TzgcfuZVv/e5/OG/t00j1uHVFURRFORhEDzke6GsSoQ1sRTnM2dTQyhfOexPttQ28/6Hb+Pr117B8Y5v2MiiKoijKGKENbEWZALwwdRafveDNfPOll5L0S3z0jltJlUpjHZaiKIoywdCHHEeGjsFWlImCCA/PO4qHlixmVu8u8okEEgR8+M47uP34pTw3a9ZYR6goiqIc7kyyhvKBog1sRZlglFyXttZpAMzq6uJ7c4CvAAAgAElEQVTUteu44OlVPLZgAdecdQZrp00f4wgVRVGUw5PJNxvIgaJDRBRlArOlpYX3vefd/OSlZ3LU9m1845r/49O/uYH6/v6xDk1RFEVRJizagz2ZOIBfnSYwiLuvRPvIt2pWi3ieJr7vSGa/MMaa5dyqfcFaEMEa3oyxn6stlKEJEmONjZggtFfGjh2Y0PRowHfKpkYT7R/laQKbrlSCYhEKRQh8ayPMF+z+xWJ4PJu/KZXCc8hDMmmNZWFjV9Jpa6EMjZEmX7D5GoMpljB9fZhcDidfwOlIkAjLo6Y2A55rbXOFIiaVtOa1km/j7svydH+aF7Incq7ZyHHbtzN79XZMOkWz9LO7YSq5GbWIb8i3JBDf4KeEUkoo1cDu2R5GAAE/lcJ49vz9VAsImOhneiRVi+xsYTG5ecG4IEXwsmItkgJuHhK9BiPWLJnsMbgFQyktZHY3Uso4pHY34ObDDEsB4vtIfwGnNwuehxPZ1Yql8Jr5oWEwNPIFAVKTsXY7z0Nqa6xFUsTaM11rr5Nc0l6/hIepSUOhiBRLBE11No9kYoBx06QTSClAikVrnAy3IQKJBCaTspZIY5CiW67rkk7bNL5vjZCeNQFKMlm2U0Y2T3wfEzihLS5ucJSyOc5EBsvIpBcYSCQG5CWeZ8skaY2HOK41EbolmzaZsGldt2JUNKZsrCybHBM+kk5VTI6eB5k00pe1xst8wX5OePaz61TKwXWRZBKTTiJg0yQTSDplr4fjlI874DyDAClZk6G4DiQS5XzI5ZBSCdKpML0Tlmlox8ykrTUwk7Jlk04hfVFsLpIK9ysUB64L95dUyn5f0yn7PYzyj8ydoS3SRNZDz6tYJiOKBVuujrU5RjbS6N4lYK2LodkwspEax0WkBG7R5umIvZf44XES4XScfmDrUGRN9Dybn1sq2zjL5sXI0JjwIF8xeEpYtyRuOPU8jFOw5R1eh8hKaYole/2i6wgVE2XMAlltEI0vyzFF5WCkYo30/Zh11LU3BxPeF32nYigNt8eNj+IE5bKwVchaMu3fHAdTolLWxtobK0ZJv2KODK9vZI00ZqCJsxz/gO/lJOmvNGgP9gjRBraiTBJy4nGrLOL2TA0iQjIo8vGdN9PZ2cDN3mk81rRorENUFEVRxjuTbLq9A0Ub2Ioy2Qh70XxxuKH5JC7oe5b3vXAr7alG/nDECu6ffgzZqHdPURRFUWJMttlADhRtYCvKJMUXl4fqjuShacexJLGNizb/hbc9dw8balt5oXZ2+G9AGeswFUVRlPGENrBHhDawFWWSY0RYOeUIHm9azLREF5szUwB415N3UV/KctOKFTwzY3ZlfK6iKIqiKMOiDWxFUcpsqm9FfNs70ZWu5bS2Fzj592tY39LK7UuWcc+xS8h6yTGOUlEURRkTDIMnD1CGRBvYiqIMyW+PPp3fHXMSp3Y8x4XPPcH7HriTmb0d/Ojcc+2/CI3RXm1FUZRJhc6DPVK0ga0oyl4peAnuPHoZdxx9PIt376CrIQPAsdu28J777+EPy47j7mOX0K8PRSqKokwOtIE9IrSBrSjKvhFhbesM/BSAwfPtPE0fuPNurrj3jzx05BHcufQYHp8/D/VXKYqiTGC0gT0itIGtKMp+8+TceXx08Vs5cucOXvbMM7z0+ec5YcNG3vWB9xIA9f399KQzYx2moiiKoowJ2sBWLNEv0oM9pHZvdsbADL0tMjWaAHAH7xOtCqr2jecVmfCGOqYrA/Y3fqQdjNSSseMGQWhWDNOLVJknw1ijdIFfNojh++A7GL8qzsBgiKVLpTC5fBiCNZAZ45XtkOX9Q2ukBKEl0rd2M0qlig0uX8DkckhtrY2pFJoq+3OYyDIpQpDPI8YgfVlrF0wlyfQ2IH39pJvqkT19FSshEDTX4fTmrPHOc6Hk2+N4HqZY5O7iDO7pqWF60MOiTz6BW5Pmc/130u+m+HPtIv4y7Ri6vFqCdIJCSxrjAgZKNQ75BgcJZwPsm+kQJMHrhe7FSbwsFE5yCTxsmrAoggQEKYOTF4K0gcBuN7HqEtkhpSSYhMHNCeKDnwQcg/hSzk8MeL2ClwsvXQq8fnBzhkKD4BRDy2QOHN/gJ4QgaU2UNTsbyTe5eP2BtVHuKRK4DqUal0RvCa87j1MoWSOhH+A31uD05XF6sphUomzak0wa+jxrW8z2l22J+L610YXm0ai+RiY5WzeNNU0mk9ZKWZNBwiWui9TVIqUSUldryybhIX0ujiPWLFmTsTZF18GE3xvHczE1aUzSA2OsMTPrEbTUl+uF9GXxp9Tj5gt2aQx+Sx1OTx9+cz1Ob5/9nCvi9PYRNNfh16Zwe5I4vb1IXS1BYy1ByrNGzSEQP8Ap+IjnWltmMkHQWEdQl8QrWiuq31Jn68CuFEFjHSbhIjtT+M21yI4EQVMtzu4UflMdTrafoKkO6enF1NXYci6V7LbOLkydNX2K51lDZ7FEUJ/BKflILo+pr8WkEziui/T2hWmK1iiZSVtTaCpRNjJKKbRlus6Ae5JE9w/HGkbx3LJVtGxhzRcwpRJSW2PfF4qIH0AqhdRmyvcFqa2BkjWZSk1odfUDW3cyGXsv8TykP4ekU0gmgxSKiOvY7cYgvX2QspbOcrpCwdZHxw3vMW7ZPEoqZWNNpcoWS0kloVgcvEynoD9nP/cKkkpicnlbX6PvK5Q/m2LJvu/PIcmEvQf6gbVKlko2pvD+LckE5PLWQun7GD+0UPp++L1I2nuchIbT8LxJJMAPrME3kUCc8HvleaE5t2DTRaZI37fWyiDAlGLmVLGfxXUrVsuJjj7kOGImSY1QFOVQUhKXLVKPAA6GO9NHc1pxE6/uXsmre5+gLT2Nm2eewhMtR451qIqiKMoBs5fOMWUQ2sBWFOWg4ovDfekj+FPDMUwly4lsZ0XPOjxje4mm9XdyXMcGHpl7FDtoGONoFUVRlP1Cx2CPCG1gK4pyyNjl1XNb4wxuazmBIGVvN0s7N/LmdX/kTevv44WpM1k5YxGPzVhMW/0U1BypKIqiTAT0cX9FUV4cwrG7d886gc+seAe/WXwGrgl44zP386V7ryXlFwFoyfbgVI+xVxRFUcaeaAz2gb4mEdqDrSjKi86OmmZ+N/VUrm84neZsD/P3tJMPDZF/98BNTMt38fiMhTx65HxWLpjPnkzNGEesKIqiADpEZIRoA1tRlDGlM1NPZ019+fONS07hxM61nLS+jTM3PgsCv1u2nP8+81wAnCAg0KEkiqIoY4M2sEeENrAVRRlX/HnOkfxp2ZEkTg6YU9zBCVs3sKl5CgDNfb18+7qf8NS82Tw+ewErj5jLlqZmdOy2oijKi4Gq0keKNrAVRRmXGHFYO20Gq2fNKM+D7QYB9xy9hOWbN3DqmjbMfdCdqeFrr7yEpxbMwfV9fMcpj/dWFEVRlLFAG9iKohw27Kpv4L/OO58gZZi1o5ul7Zs4buNmdjTa6f4uePoZ3nb/gzw1dw5Pz5nNqplz2TStiUHSIkVRFGX/MQwWvSlDog1s5aBiXoynhE1AeQKc2IT3kWVRYPgbQBCEdi/Z+7+6jLFpwNoXY+8HTLJvApuHCSpPSYu1O+71ienAWNOYOIgJCAp29gw37VsjpATlY5aPFVojDQYxgbUy+j6maI2P4juYUslaIROhIa1UGhhflI8f7ou1phEEOOk0QW8fTjJB0NU9wDrneC6mpxcTGt7wfYL+HE4qhSmVwnO1c1ybUhGTc6BYshY038fJFwh6+3DTaTKd9dYclytg0kmC+hqcfNHaIWtSGFdwt+zCnzkVZ2s7ZnqLvaa5ItLXj8n22xg8j6Crm43pDBtyc2m8Zw0Nvo/rt7PBSXDyC89ygTwBrkPWeHxm/pspZmpo6esgG3jkMrXWXgjgCvnptRTrXIxAoten0OhRrBEa1hfxMw79zQ6FRiFwBbdgSPYYijXC9tMSpHdBsc6WV7HexSkKyS4oNngU61MEnrGVUiC126FYW4df04yTd/D6odDcgtfn4KdDO2XS4BQFP2Xrkvhi/6hFlVusqRJitkrXYBIGJ+cQZALcXgc/Y/CyQqk+ILl7HoUma5s0niHR7eBlrZGylDEESYMJL7kYSO1uoVhr8DMGpwiZnc14WeibY6x1z0DD2ka6lhgaV9fROw9qNzfQOxean6tnzwKhaU09HccKiR6haW0j3QtdCk2G9K5aGtc1kG906Z8qlGoo2z3jxk4AxwevDzK7Gqjd3oyfdOiZlyDfLDS/kCbVWWTXcRkkMLQmFtCxtI4gCa3OAnae2sB0fz47Tmtgugi7Tqyj5ZkEHUsyTPUcehbWggh1GzPsXlpLazCL3sUNFDNCS34WPUun4OYC+qd4NGxMk9iaoveYKRRrHdK7S9QAfUdNJbMxhdvVg9/aRKE1Q7HWxbggPtRuTOJnEpiEQ+BKxdAZGCSARE+BIOkSJB2CMI0EBjcf4PXkcXclyC2cgtdTwPNczJ5ezPQpFKdYk2OiPU2hpYak6+J078Gf2YKf9khs95Auh9KsFpx8iSCTwM0XoKme0pQ6PGMgmaDU2oAEBqenF6a1YESQbD/+rCm4xmDqa61ttCdrbZPpJBL4mOktSFc3ZnoLTvceawltakCMgSnNdtnSZO+ZTQ3WFDmlGenqhpYmnEIRaWpAcnl7r83lkHr7HIYDMKUJyWaRxgakUCQAnIZ6gmIRaWqE7h5rnayrxcnlcerrMMWiNTU2NuD09Nh7aUM9Tq9giiWchnpMoWBNljUZW818H6eu1u7bn7P5lErQ32/TpZKYbD9BZMk0xh4jnbIW1FLJfk4mrI11sqBDREaENrAVRZkwvCAtrHanAcLUlM9RiV6m5LsoOvZW98bOhzk2u4WtqRbaaqbTlp7OutrpbKZ2bANXFEU5XNAG9ojQBraiKBMPEXY7tTycbsWQK6++o/44NrotzPc7WNG7jjP3PM+amhl8de6bAHjFxsfo9TOs8WayJdM0VtEriqKMUybffNYHijawFUWZNKxJT2etNxWTSoLnMr3YRYoSAI4JuHzdw2QKecw6IZtMsiU5lT/OPY67mpeCMTiBQWcsURRFUfaFNrAVRZmUGBG2J5vBtQ3mQBw+cvaVzGtvZ5bpYF7/To7Yvp3aku0Bb8r18W83/zdb65rZkpnK+imtrC5NZbM7gy4m0fhLRVEmLwaM0YccR4I2sBVFUUJ8x2VzbSvrGmdSrDmOmukl/Ezlgc9bjzqR+R3tHLdrI2dufZbgOfjeSRdxV8uxzOru4ILHH2dzw1R2ei1sSDSzqy4zhmejKIpyCNAhIiNCG9iKoigjoCtTx7XLzy7PIpJyc0xL7GansTOdzOzu5PxnV5EpFBHfzozRU5PmM294DWtnTGd2RwcLNnSzfmYzW9P1lGfCURRFOZzQhxxHhDawFUVRDoDeVIadM+eS3mU//2XeYt52zF8zrauPBZs6mF7qYEZ/B+3h9GMveWENf3XPAxgHSgmH7fVNbK9r4uuvfTk5apjW3U0qG7B9aj0+iTE8M0VRFGW0aANbURTlIGEch/b6BrpnNVBsWECx3th5sIGbVpzIM40LmJ7bzay+3czd2cXMjm6yqSROP7zukUe5eOVTBA501NazraWRzS1N/Of55wPC1D17KHoe3bUZNVUqijI2GKOimRGiDWxFUZQXgVwyyZppM3i2djp+TVAWzQROgAP8bvmJPN86m+l9tuE9vaeLxTt22sa0gQ/ceTentLVRdF12NdTTXl/P2mnT+MmZZwOwcEc7xSDJTq8Wn+TYnqyiKBMXHSIyIrSBPRExAaqGHgXxJ6SDANywLIe5qUQGy8j4WDY/mgBkiLG2UV7GlC2I1gQZP/beTZDly2ti9sjIPmmq8hiqtyFcZ3wfMV7Z7ogfYApFxHUGpvUDTKmE+B7GDzCFAiaZ3HtPhrG2SlMqYYIA09+PiCBFa0Mz+QIigpMsIrmCPbbrICIEXd04zQ0EuztwGuoArPkx24/f1YXb1ATJgKC3F9d1oFjEFAvlXl0TGAgKiOtg8gX8rm68TAaKJUxvH6WOTtzGBsTzMP05MIZ0cQ6JupS16LV3k2ppIKhJ4K1qQxobqJnehF+TQIzB3VPAWb8VpjbTv6iFzLoO/OZapBhQakzhZovwyFM4xy2h1JS2s5T4BjHgPbcRprYQ1KVw9vQTbNyCs3g+bGtHmhrYvMtnS7qVoNPDaVoEfsBRVz1OkM/zlyDJVmbTQo4WckyV7aQTezjq/llgAv6h/RbmJPNQ8ulN19MVJHl2ykJuys6htHQhp6x+jEIiRXfWsOvYI9g9pQ4pCsnuAl5nFuntt9czlaTrpOlk2oskn1qPmTuD9pMbKTQI83+fA98QJF22vjTF0d/cQNsVC5hzV55tL0kx/5Ysba9OM/0Rw7azDEde00f7SXVseUVA0xMuc773NJvffzxb3lDEdAn1q11mPpAn9eR68ANobbHmwGwOs7uT4vLF7FyeYfv5JWbP6SJf8uh7dCoLvvYEbf+ziPlTOnF/NhccaP7mFtbfdTR1m2D2dzbQ99WlLPzBOpw3TGPadZ3s+eZSmr6yiZ7vHsn8767l9keWIQU48+/W472+jhN+t5nr7j+DplXCxb/9C9+67WJkepGjP7WTwg8DXjnzcb7xh1ey5F838vxXp3PVioe4+p7LeNdLnuSEmo3c0bWUmx9fxoy7hMZfPkru5cuZ9u1NrNo1g45d9TidCbys4JSEwLWWzPkntrOpvRmzMUXzM9B6z2ZKM5vZeGEd08/s4K8X/JHvfvSNbHqvw9Un/ZGlye18acsrafve0SSyATP/ZS3P/mApb/zefVxYt4rLb/0IR/60wCnXv8BlDSt5139+lL6lOWbenOSrP/sDP25/KVvfVOKdd9/Pn3sXsertR5Kb08CPnrqFl93xUSTncuelP+RDl7yH9913P//0/CXsXtvCO85dxcquuaxaOZNrL7uOT7/nfVy/9h7ecmId/7v6Tm7pm8+Xf/ZGvv3O3/DR/3w///HBX/OhH36AL1/xez52w1/xlzf/jLccdxG/Xv8Al71jGd+47Vpe+8u/45yXPkXGLfKalkf58GNvpVh0+fkZv+az572e/1tzN6f8/GM0L+nge0tv5I33v58Hz/kl77z4Pbzp1ofYXGjh3g+dwbV/uo6LVl7Bq+Y/zXl1z/LVU8/lsgfWMDe5m++c8VLOuW8rF9St4gNf+ltu/sIv+cy2C9j8hjre/ugzLElu42Mf+TDt78zy3eU/4/Mffg9b35nnhbPv5PxnLiP97oAVf9zKZ1ofY8lNH8JrKPDcOf/NZ3aeyMp3zWH1P6RZde73+Z/uBVz76UuHvhdOQIz2YI8IbWAriqIcBqyWZlbTXP4snoekM+VZua/jaGY01tLYvZOWmgQt2c4BM3a/qfvP1JiC/bH0xH34rsOfph3LL1rPAuA1ex6jH489xTq27+yh0JugO8jR/eKdoqIo4x6jPdgjRBvYiqIoE4A2aWJTZg5BthGZOgvp7iFobUE2bAXgK60X0yAFGvd0UDu7ljq3n62pKQB4xueU/jZqgzz0C/4TCZyS4a5gHr9lAelSgX+7/icUskl63Ax7UrVscevYUqihjQV4QYmjduymNge7+htxghQq5FEUZTKjDWxFUZRJQJdbS2eiEZIZCtPmUmj0cAqGZHeBkrj84/TX4flFar0Ac0wdrTt76G3rAsANAh6ftYCZG3uoL2Rp7d3DMc/lubN0JABT8j18+sbrSPQEFLY5eH3QvTLJTe4Z3MwKZnZ08d4HH0HyXWxduYfdfQ49QR1r/flAioTxqQly5IIieaPD2xRl3GLQebBHiDawh0BE5gLfBF6O7Ya5A/ioMWbjmAamKIpyCCmJS7eXoathGu35ZpKuHWvZl0zzX2e8gunJ/gFjsBf/oA2ArmQt/3Tha1jw5256lwfMfi6HP6efnWsbAajN51nYuZOW0i5OfXonZq0PvsM3T72M9czliFI7H+y5H/o9jCP0G49cCX7UW8tOFnLMpq28+Y4/05NM0dneTE1xJxsf7GfTOS3sBhpyWWZu7GLLnm7cfAKv4Ou/sRXlUKEmxxGhDewqRKQGuAvIA+/E/l67GrhbRJYZY/rGMj5FUZTxggkfLM27SVbOW8jOtVnalqeZXsQ+5LgtC8CamdP52CXvZsb/PsWWty/FHLOH2u0BZmsddZ2GHU49P8+cSLouRUZKZPJZUn099HopABr7+lnc1k6qv0hq1zoyxT7yv23jX5e/AoDTtrzAlZ+/i+yeB3ALkHmon/4d9/C/7z2FDcCKezfw1gcex+3tZ/fqVTT+RydLd23n+2efC8Diwk5OuGUTnW11ONtSzHq0k2UbN/J061QA6npyZBIF6rP9JE0J0Ye8lEmKofJQvzI82sAezPuARcDRxpg1ACLyJLAaeD/wjTGMTVEU5bDGiEM2naKvKUl9u0sdeTrcWu5PLoTG2CwififFtH2o86Eli9l0QTP5kkfvn6dw5NdWsuPTs2mZ0Q/AyhkLueby09j68DQad5Q46iVtdN7YSrbeTleYyyToyNTT4uWpK/QzdWsvx23fXP6BcHx+Cy+9ZjVLe7fh9sPUtm6O3rOT15x0JQCX3fgklz70JKfu2UB6Z4H8ZzymTO3l6vdcBsAR/72T+Y90cEHvM7jtCcTvoOOFdu5gPgAXPfo0szf34AcJiuKRT7h0NmVoO9H28B+3eRMztuWpy+0m39NHzbZ60tu6YYEts+Y9faR2F3FqA5K5Em7g25aOorzYGKM92CNEG9iDuQx4KGpcAxhj2kTkfuBytIGtKIoydohQFJfu+hqa3DwAu2obWXXybFbuOZq6Omh/pcsLq5ZyfOYJAJ45dRa/Wb6UOX+zmk3fPZJlH30inKbPNrBvrDuBLT9o4ub7VjBtVYm3vPFOfnHP6RjHTlf50OkLmXFiN7//84ksuGkHHS+r4eJ5q8oh5aYl6J5ZQ/eWDE0SUGtKNBSz5e0nrNvMKc9uIFXwcYzBAJunNvPVt7wcgLc++ADHr9uK11OAHo/CbofNaxvoOiMDwGd+fDNn7VlLWop8oXgj+fbbeL5xDtdzLACXXPUU8/d08IPOH5PaLDR/ooumUyr/bP3gk7ew6Au7eFP+z3R31LD061vIL0qyCjuGvvGHfbz3+fvwA4+GjiwXdzxGy196oQ4kCDju1i3U5PLM2tBLc22WU3a/gLO2aDMvGVof7+G4rZuoX5XjyPat1KzO05TtBcD1fZxNJVqDXmR7ieZ8D94un1TR7i+Bwe0LSOWLdmxvySA6vEeZAGgDezBLgRuGWL8KeMOLHIuiKIpyiAnEoVCbYHd9HX69Q+fiWlatnYOQA2Dd4lbWzWzlZv9Elty1kefPn87CFbvhHrv/5kubueOsaB5sl8YNj5Jbupx5PA/AV954kZ0Huw9S+QCXEiYdMIUOAL71iouY9UyeaQ9vhSm17DotRd3JnVyIbcT//PxTaJnexzzTye93HkfnHdPodurK8W9b1sjUbC/PPTeTabsKeFNz1Nf024GOQKaYx+sKaMj2ky6VqF+bo7Gu8gOg5p48r9i+Cq9oqH+hn4s7VpL/i8A54BrDWT9ezQp/A/3ZFHMf6eSK9beT+KPNXPoNp31xPfM7fsm8B9u5uv065j3azsvm29hb+vqovbKDz/TeSfrde/jntv9l7rt28fJlT9PzMo8pW3s5+dMb+Vn2vzEGFtXt4ltbf0biNtsAX7ShnSWf28F1vT+g+Tu7+Zd11zDtik5uf5/9ceGtKvKNf/ol02t7mJrq4ZN77mDWx3vZ+sEGAKY/082CX+/mH1f+koarunlr9mF6dtfgbzRwBCzp3MQVP36Uxbe284HnbmHPzwLkT7tpPruPfjLMeaoDb2UXH1l9B6QDnCc6OSf7PC+UFgNpZGWeZX/czJ19HQe5Vo5fdIjIyBjCgDHpaQE6h1jfAbFJaBVFURRlfxCh6HlkUyl60+ny6p2NjWxonMb65FTW1M3iyTnzWbt4Wnn7w0sXsvnCZrovq+GPFx/FjUeexgMzjylvX/mWeez42wa+fvmF/HDhhdz68ePY9eZKA/wbJ72GF745jR9cfTZfnnYp9393Mfe97ajy9m3XtPDGT36A1338w2y5aQofWXwFq99rj19yHH78/TP57L9exnuufA/PfX86nz/urRReXQOAyQj3//MiPnvpG3j2S9P58vmvYfWnW3lwgc2/J52m/xMN/DSzgsLHGvnpgvPY8aEGnpw7F4C+xhQbrmjhfy85jZ++4jR2vr2OW+uPx19s+//21KXpvDjD7ScdQ+HcFI/VLWTbqY30NafKx187r5XdC+rIzUmwy60jOyWBSVSmiTQidtLIoiFR8MkEBSRsI6b9Aq2dPaS3FpmR7WDB9t2wpkCiaAVgdbvzOI8XWLFuA6c8twF5IMcRD7eTMCUAnLVFFt2xi+Z874HXi8MNExz4axIhRv8VMwARKQBfN8ZcVbX+n4BPGGMG9fqLyJXAleHHoyHstjg0TAV2HcL8JwNahgcHLcfRo2U4erQMR4+W4eh5McpwvjGm9RAfY1hE5FbsuR4ou4wxFx2seMYzOkRkMJ3YXuxqmhm6ZxtjzPeB7x/KoCJE5FFjzMkvxrEmKlqGBwctx9GjZTh6tAxHj5bh6JksZThZGscHAx0iMphV2HHY1RwLPPMix6IoiqIoiqIcZmgDezA3AqeLyKJohYgsAM4MtymKoiiKoijKXtEG9mB+AKwHbhCRy0XkMuysIpuA/xrLwEJelKEoExwtw4ODluPo0TIcPVqGo0fLcPRoGSoD0Icch0BE5jFQlX4nVpW+fizjUhRFURRFUcY/2sBWFEVRFEVRlIOIDhEZJ4jIXBH5lYh0i8geEfl12JM+kn3TIvI1EdkmIv0i8qCInH2oYx5vjLIMzV5eJx7quMcTIjJHRP4jrEPZsAwWjHBfR0SuEmOMngEAAA0bSURBVJH1IpITkSdE5HWHNuLxxyjLcP1e6uGrD23U4wcReb2IXC8iG8L72fMi8mURqR/BvnovDBllOer9EBCRC0XkLhHZLiJ5EdksIr8QkWNHsG+ziPxQRHaJSJ+I3CEix78YcSvjA+3BHgeISA3wBNa79WnAAFcDNcAyY0zfMLsjItcCrwQ+DqwDPgRcDJxhjHn8EIY+bjgIZWiAHzN4nP2Txpjs4D0mJiJyLvBz4C+AC7wCWDiS4VHhXPF/D3wq3P/NwPuAS40xtxyikMcdoyzD9cBzwOerNj1vjBlymtCJhog8BGzEPvuyGViOLY/ngJcYs3dbhd4LK4yyHPV+CIjIW4AVwMNAOzAP+CQwFzjeGLNhL/sJ8EdgIbYudgJXYWcoO9EYs/nQR6+MOcYYfY3xC/hbwAeOiK1bCJSAj+1j3xOwjcl3x9Z5WNnNjWN9bodDGYZpDXD1WJ/HWL8AJ/b+vWG5LBjBftOwP26+ULX+Tuwf5TE/t/FehmH69cA1Y30OY1x+rUOs+6uwHF82zH56LzwI5Rim0/vh3svm6LB8/t8waS4P05wXW9eINUL/+1ifg75enJcOERkfXAY8ZIxZE60wxrQB92O/qPvat4jtMYv2LQHXAReKSOrghzsuGU0ZKiFmmF6tfXAhkASuqVp/DXC8iCwcVWCHEaMoQwUwxrQPsfrP4XL2MLvqvTDGKMpRGZ7d4bI4TJrLgK3GmLujFcaYbuAm9O/RpEEb2OODpcDTQ6xfhRXc7GvfNjP433arsA2eI0Yf3mHBaMow4oPhOLtsOO7upQcvvAnPUmwP9pqq9avC5UivgQKvCutgXkQemkzjr4fhnHD57DBp9F64b0ZSjhF6PwwREVdEkiJyJHbYzHbsD7e9Mdzfo3kiUncIwlTGGdrAHh+0MLSGvQOraD/QfaPtk4HRlCHYnta/Bi4ArgSmAHeF42mVfdMCdBljqh/qmGz1cLTcBPwN9j8CbwNywG9E5O1jGtUYIiKzgS8CdxhjHh0mqd4Lh2E/yhH0fljNw9gOhBeAZdghNjuHSb+vujiSv0nKYY431gEoZYZ62lRGsJ+MYt+JxgGXgzHmHbGP94nIDdgeiKuBsw5CbBMdrYcHAWPM38Q/i8hvgIeALzN4+M2EJ+zpuwH7LMW795UcrYNDsp/lqPfDwbwDaAAWYR/kvl1EzjJ7f3BZ66KiPdjjhE6G7l1pZuhfwXE6htk32j4ZGE0ZDsIY0wPcDJwyyrgmCx1Ac/j0fJzJVg8PKsYYH/5/e3ceJEdZxnH8+yMEAlIqMRgUNOEoocCqKEcMokAhcpYElIAIFIigUIoKaghSyK1CKkGloEAOORIp5DRFkFABQgxHBFeucAghCaQgJwnmgA3I4x/vO6bpzG42k8nOZub3qeqamZ63u99+d7bn2Xeffl9uA7aW9KlG16c7SeoDjCMFNQfE6kde8LWwihracRWtfj2MiBciYmpE3AJ8DdiMNJpIR1b3WWyJEYFanQPsnmEaKWerbCfg+S5su00epq687QpWzYltVmvThh3pqBfCVjUN2BjYrrS+kntd68/AVvZ6tcxnUVJv4A5gMHBwRDzbhc18LSypsR073B0t9BnsSEQsJn2WOsvp7+z76LWIWLou6mY9iwPsnmEcMETStpUVeWKKPfN7q9u2NzCssO2GwFHA/RHRXu/K9lBr04arkPRR0ni6U+tUv2Z3HymIOaa0/ljguTyii62h/Ls8jPSlPKfR9ekOkjYAxpJ6CodGxONd3NTXwoK1aMdq+/L1MJPUH9gRmN5JsXHAVpIqN5VW2vAb1PB9ZOsn52D3DNcAPwL+KqkyScqFwOsUBvqXNID0S31BRFwAEBFPSboV+F3urZgBnEoaA7oc7DSzmttQ0s9JY5s+BLwBDCDl2W1Ja7UhkGaAy093zY8HSZoPzI+Ih3OZ94EbI+J7ABExT9JlwFmSlgBtpMBmX1pwWKpa2jBPajEUuJf0ue1PmihlV+Dobqx+o11BCpIvBpZJGlJ4b3ZEzPa1sEtqakdfD1fK90C0Ac8A/wE+B5xOymUflcvsTRrv/8SIuClvOg54DBgjqTjRjIBLu/McrIEaPRC3l7SQZoi6g/RLvAS4m9LkFMBAUuB4Xmn9JsBo0tBB75J6GfZp9DmtL21I6lV4BFhAGtt0IekCObjR59SgdowOlkmlMjeUtutFmkVzFumO+2eAIxp9PutLGwJDgAeBuflz+DYwkZQ32/Bz6sa2m9lJ+52Xy/hauI7a0dfDD7XhmaQZWRcDy0mTFl1d/F4B9slteEJp277A9aR87OWkIHxQo8/JS/ctnirdzMzMzKyOnINtZmZmZlZHDrDNzMzMzOrIAbaZmZmZWR05wDYzMzMzqyMH2GZmZmZmdeQA28zMzMysjhxgm5mZmZnVkQNsM2soSdGFZWYue0PleaPlulTqN6n03hck3SHpNUntkt6U9JCkHzeounUhaVL5XLuwzfuFdjppHVXNzKxH8VTpZtZoe5Re3wU8DZxXWNeeHy8Eft8NdeqqOcDhpNlDAZC0O/B30iyCw3OZrYGv5LJ/6P5qNtSewKeBOxtdETOz7uIA28waKiIeL76W1A4sKK/PZad3W8W6pr1KPU8jTa28f0S0F9aPkdRy/zWMiKmSBja6HmZm3anlLvZmtv4qp4hIGphTD06R9BtJcyQtkTRG0qaStpc0QdJSSa9IOr7KPgdJGidpkaR3JD0i6atrUc2+wKJScA1ARHxQOvamki6RNEPSivx4djkQl7SFpCslvZ5TTl6XdLOkjQtlDpT0WD6HtyXdLWmH0n4mSZoiaT9JbZKWS3pO0mFV2uXbkl7Mx5sm6fAqZTaTdHkhFWaupImSdqyh3czMmoYDbDNrBmeR0hCOB34FHAVcRUo3GU9KzXgG+JOknSsbSdoFeJQUFJ8MfAtYCEyUtGuNdfkHsKOkqyQNllT1P4V5/QTgJFLay0HAtcA5wMhCuc1zHY8CRgMHk1JPegMb5TIH5vNcmsudCnwemCJpq9Kht8vHGw18E3gTuF3S9oVj7gf8GXg5lxmZt9mhtK/LgCOB84GvA6cATwEfX30zmZk1L6eImFkzmB4Rld7pCbkH+jjguIgYAyDpSeBQ4AhgWi47EngN2DciVuRyE4DnSIHuKj27XTAS+CLwg7y8I2kKcBtwfUT8N5c7mpSXvXdETM7rHpAEcK6kSyJiHnA6sC2wW0T8q3CcWwrPLwJeBQ6KiPfzeTwG/Bv4GXBGoWw/YK+IeDmXayMF2UcCv85lzgdeBIZWet0lvQA8DrxU2NcewNiIuK6w7q4utZKZWRNzD7aZNYO/lV6/mB8nVFZExCJgHvAZAEmbAHuTAt8PJG2Ye5UFTAT2qqUiEfFORBwO7Az8ItdtN+CPwL3KETRwIDALeLRy7Hz8+0m900Nyuf2BJ0rB9f9J+giwC3BrJbjO9ZgBPJLPsejlSnCdy80jtctn8/56AbsDtxdTWiJiKjCztK8ngBMk/VLSbnlbM7OW5x5sM2sGi0qvV3Syvk9+3hfoReqpPqfaTiVtUM6b7qqIeB54Pu+nD3ANcCxwCHAP8ElgAPBeB7v4ROHx6U4OtTnpj4I3q7w3Jx+j6K0q5dpZ2S79SAH+3CrlyutOy8c4EbgYeEvSTcDZEbG8kzqbmTU1B9hm1qoWAx8AVwA3VStQa3BdZT/vShpJCrB3IgXYC4EZpNSMambmxwVAOY+6aBEQwJZV3tsyH2dNLCAF/f2rvNef1OsOQEQsJeW/nyVpACn95rekP2TOXMPjmpk1DaeImFlLiohlpPGqBwFtEfFkeallv5K27uCtysgalZ7m+0jpKkurHTsiFuRy9wODJQ3q5Dz+CQwrpmjkgPfLwMNrUv+cI/4EcERxNBNJXwIGdrLdrIgYBTxLusHSzKxluQfbzFrZGcBk0o2R15GC336knOZeETGihn1eJak/cDPpZslKTvNwYDorbwIcC3yXdGPjKFIayEakUT4OBQ7LaRaXAd8hjWxyESmA7QcMBU6JiCWkFJfxwD2SrgQ2I92o+DYwqoZzOJcU2N8t6Wpgi7y/OcVC+UbKcblOS0n53oOAG2s4pplZ03CAbWYtKyLa8syL55JmWPwYMB9oIw3zV4vLSQHxD0lDB24EzAbGABfmtAoi4j1JBwAjgO8D2wDLSEH4eHIeeUQslrQnaaSQEaSc7LnAg4Uy90k6JJ/HX/L6ScDwiHhjTU8gIiZKOoY0m+adwCvAT4GflIpOJqW4jCB9n7wKnB4RrTZbpZnZhygiGl0HM7P1jqQbgH2A7YEoDL9nBTltZSApSD85Iq5tbI3MzNY952CbmdWuMgrIA42uSA/WTgquzcxahnuwzcxqIGkgKRcaYElEvNRx6daVZ8SsjP09s3DzpplZ03KAbWZmZmZWR04RMTMzMzOrIwfYZmZmZmZ15ADbzMzMzKyOHGCbmZmZmdWRA2wzMzMzszr6H6fG2mhnfD7GAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 864x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sft = SlidingFT(\n",
    "    monitored_freqs=np.linspace(0, 11025, 33),\n",
    "    dt=1/22050.0,\n",
    "    window_length=64,\n",
    ")\n",
    "\n",
    "sft_spectra = monitor_spectrum(\n",
    "    analyzer=sft,\n",
    "    data=test_signal,\n",
    "    monitoring_period=64,\n",
    "    times=t,\n",
    ")\n",
    "\n",
    "plot_spectrogram(*sft_spectra)\n",
    "plt.plot(t, f_of_t, color=\"r\", linestyle=\"--\", alpha=0.8)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The sliding FT is definitely picking up the general gist of the structure of our chirp with a swath of maximum magnitude coefficients which roughly follows the current chirp frequency. But what are all those little vertical spikes fanning out from the main frequency locus?\n",
    "\n",
    "The culprit here is the fact that we haven't done anything to ensure that the data inside of the recent history looks like it could be cyclical. That is the job of the windowing function which we mentioned earlier. The windowing function is a function that smoothly goes to zero at the edges and is close to 1 in the middle. Multiplying this function into the data before taking the FFT in the standard STFT technique ensures that the data looks like a cyclical function with the end smoothly transitioning back onto the start of the data in the window. \n",
    "\n",
    "When we carry out the FT over the small windows of the most recent history of points we aren't guaranteed that the first and last points in that history window will match in value. In fact we are practically guaranteed that the first and last values in that window will be very different from each other. Because the FT implicitly expects that the signal is an infinitely repeated version of what it sees within that time window this mismatch of the first and last points causes an apparent discontinuity and that can cause lots of trouble when interpreting a frequency spectrum.\n",
    "\n",
    "We can manually override the nice default settings for the stft function by passing in an intentionally poor windowing function which doesn't go to zero at the edges in order to see how that affects the resultant running spectrum estimates."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "no_windowing_stft = scipy.signal.stft(\n",
    "    test_signal,\n",
    "    nperseg=64,\n",
    "    fs=22050,\n",
    "    window=np.ones(64),\n",
    ")\n",
    "\n",
    "plot_spectrogram(*no_windowing_stft)\n",
    "plt.plot(t, f_of_t, color=\"r\", linestyle=\"--\", alpha=0.8);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The exact same spikes are present in the STFT. In fact these two representations should be identical to each other if we had made an effort to keep the associated data windows aligned with each other."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Caveat Emptor\n",
    "\n",
    "I feel like I should point out that this sliding FT tecnhique presented here has been structured in a way that intentionally allows you to create FT analyzers which are poorly performing or which have less than intuitive behavior. Normally you would not give yourself the freedom to pick any set of frequencies to monitor. The set of monitored frequencies is sort of naturally automatically chosen by the length of the window being looked at. I have only allowed arbitrary sets of monitored frequencies and window lengths because we are headed towards other algorithms for which these choices are not as black and white. \n",
    "\n",
    "You may have noticed that the STFT function in scipy doesn't allow you to pick which frequencies to monitor. That is because with a fixed number of sample points $N$ you can only uniquely decompose your signal onto a set of frequencies if you pick N/2+1 frequencies linearly spaced between 0 and the samplint frequency/2. Any other choice and you will be dealing with strange frequency aliasing behavior where oscilations at one frequency will bleed into the coefficients for other frequencies and/or may cause oscillations in time of the predicted frequency magnitudes. For example,"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sft_spectra_poor_choices = monitor_spectrum(\n",
    "    analyzer=SlidingFT(\n",
    "        monitored_freqs=np.linspace(0, 11025, 35),\n",
    "        dt=1/22050.0,\n",
    "        window_length=50,\n",
    "    ),\n",
    "    data=test_signal,\n",
    "    monitoring_period=50,\n",
    "    times=t,\n",
    ")\n",
    "\n",
    "plot_spectrogram(*sft_spectra_poor_choices)\n",
    "plt.plot(t, f_of_t, color=\"r\", linestyle=\"--\", alpha=0.8);\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "you might suppose that simply making the window length very long might just give you better and better estimates. But in fact it also makes your fourier estimates sensitive to only a much narrower band of frequencies and so unless you also increase the fineness of your grid of monitored frequencies you will miss oscillation power that slips in between your monitored frequencies."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sft_spectra_poor_choices = monitor_spectrum(\n",
    "    analyzer=SlidingFT(\n",
    "        monitored_freqs=np.linspace(0, 11025, 33),\n",
    "        dt=1/22050.0,\n",
    "        window_length=512,\n",
    "    ),\n",
    "    data=test_signal,\n",
    "    monitoring_period=64,\n",
    "    times=t,\n",
    ")\n",
    "\n",
    "plot_spectrogram(*sft_spectra_poor_choices)\n",
    "plt.plot(t, f_of_t, color=\"r\", linestyle=\"--\", alpha=0.8);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In the above plot we used a sliding FT with a 512 time point memory instead of just 64 time points. But because we did not also increase the fineness of the frequency grid we are monitoring we get spotty coverage. This is because with more cycles available it becoms possible to differentiate between ever finer frequencies and unless the current instantaneous frequency of the signal is close to one of our chosen monitored frequencies the signal will fall out of phase with the oscillations of the chosen frequencies and we get the sort of patchy behavior you can see above, where the frequencies don't quite match the monitored frequencies the estimated amplitude goes to zero instead of being split up amongst the closest frequencies like it was before when we had a smaller window.\n",
    "\n",
    "\n",
    "The lag between the estimated frequency spectrum relative to the \"true\" instantaneous frequency is particularly clear in this plot. This is mostly due to the fact that when we are using the STFT method we are allowed to look into the future 1/2 a window length. This allows the frequency estimate not to lag the \"instantaneous\" frequency. But when using the streaming spectrum estimates we only have access to the past which naturally causes a little bit of lag."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Exponential Moving Average \n",
    "\n",
    "\n",
    "For the sliding FT above we keep an updated estimate of the $a_f$ by subtracting off the oldest term in the sum as we add each new term in. This works pretty well if we have the necessary memory to keep around the most recent $K$ values of our signal, and we don't mind the artifacts introduced into our spectrum estimates by the wrapping discontinuities. \n",
    "\n",
    "But as I said at the top of this post I had in mind applications for keeping a running spectral summary on the parameters of neural networks. In reasonably large models the current model parameters might take on order 1 Gb to store. If we want to monitor oscillations over even just a few hundred parameter updates suddenly the memory requirements would be prohibitive.\n",
    "\n",
    "Is there a way that we can get decent streaming estimates of the spectral power without keeping a running history of the data stream?\n",
    "\n",
    "Lets take another look at the above expression for estimating Fourier coefficients.\n",
    "\n",
    "$$\n",
    "\\large{\n",
    "\\hat{a}_{f} = \\frac{1}{N} \\sum_{t=1}^{N} x_t~e^{-i 2 \\pi tf}\n",
    "}\n",
    "$$\n",
    "\n",
    "\n",
    "What if instead of keeping an exact average of these terms over a window of length $N$ as we did for the sliding DFT, we instead tried to keep an exponentially smoothed average? https://en.wikipedia.org/wiki/Exponential_smoothing . Or to put it differently, instead of keeping around a sliding window of $N$ points so that we can forget each point after exactly $N$ steps why not just forget everything a just a little after each update, by decaying all the fourier coefficients towards zero.\n",
    "\n",
    "$$\n",
    "\\large{\n",
    "\\hat{a}_{f, t+1} = \\alpha~\\hat{a}_{f,t} + (1-\\alpha)~x[t]~e^{-i 2 \\pi f t}\n",
    "}\n",
    "$$\n",
    "\n",
    "or equivalently \n",
    "\n",
    "$$\n",
    "\\large{\n",
    "\\phi_{t} = \\phi_{t-1} + 2 \\pi f \\\\\n",
    "\\hat{a}_{f, t} = \\alpha~\\hat{a}_{f,t-1} + (1-\\alpha)~x[t]~e^{-i \\phi_{t}}\n",
    "}\n",
    "$$\n",
    "\n",
    "In fact maybe this is even simpler than the sliding FT approach above since now there is no need to remember a history of values."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "class ExponentialSpectralSummary(object):\n",
    "    \n",
    "    def __init__(\n",
    "        self,\n",
    "        monitored_freqs,\n",
    "        dt,\n",
    "        alpha=0.01,\n",
    "    ):\n",
    "        self.dt = dt\n",
    "        self.monitored_freqs = monitored_freqs\n",
    "        self.alpha = alpha\n",
    "        \n",
    "        self.accumulated_phase = np.zeros(len(monitored_freqs))\n",
    "        self.spectrum = np.zeros(len(monitored_freqs)) + 0j\n",
    "        \n",
    "    def update(self, new_value):\n",
    "        cplex_phase_vec = np.exp(-1j*self.accumulated_phase)\n",
    "        cwave = new_value*cplex_phase_vec\n",
    "        self.spectrum = self.spectrum*(1-self.alpha) + self.alpha*cwave\n",
    "        \n",
    "        self.accumulated_phase += (2.0*np.pi*self.dt)*self.monitored_freqs\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 864x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ess = ExponentialSpectralSummary(\n",
    "    monitored_freqs=np.linspace(0, 11025, 33),\n",
    "    alpha=1/64.0,\n",
    "    dt=1/22050.0,\n",
    ")\n",
    "\n",
    "ess_spectra = monitor_spectrum(\n",
    "    analyzer=ess,\n",
    "    data=test_signal,\n",
    "    monitoring_period=64,\n",
    "    times=t,\n",
    ")\n",
    "\n",
    "plot_spectrogram(*ess_spectra)\n",
    "plt.plot(t, f_of_t, color=\"r\", linestyle=\"--\", alpha=0.8);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This method seems to work just about as well as the sliding FT and requires only as much memory as it takes to keep the current spectrum estimate in memory, no need to keep a long history of updates to undue at a later time.\n",
    "\n",
    "# Effective Window Size\n",
    "\n",
    "Although it may not be immediately obvious we have to worry about all the same set of concerns about matching our set of monitored frequencies up to our effective window size. The alpha used in the exponential smoothing controls the effective window over which the spectrum is being estimated. \n",
    "\n",
    "$$\n",
    "N_{eff} \\approx \\frac{1}{\\alpha}\n",
    "$$\n",
    "\n",
    "A very large alpha will rapidly forget the past values and will not get good enough frequency resolution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ess = ExponentialSpectralSummary(\n",
    "    monitored_freqs=np.linspace(0, 11025, 33),\n",
    "    alpha=1/10.0,\n",
    "    dt=1/22050.0,\n",
    ")\n",
    "\n",
    "ess_spectra = monitor_spectrum(\n",
    "    analyzer=ess,\n",
    "    data=test_signal,\n",
    "    monitoring_period=64,\n",
    "    times=t,\n",
    ")\n",
    "\n",
    "plot_spectrogram(*ess_spectra)\n",
    "plt.plot(t, f_of_t, color=\"r\", linestyle=\"--\", alpha=0.8);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And if we set the alpha to correspond to a memory wich is too long then we will get finer frequency resolution but that also means we must monitor a much larger suite of frequencies in order to avoid missing spectral power."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ess = ExponentialSpectralSummary(\n",
    "    monitored_freqs=np.linspace(0, 11025, 33),\n",
    "    alpha=1/256.0,\n",
    "    dt=1/22050.0,\n",
    ")\n",
    "\n",
    "ess_spectra = monitor_spectrum(\n",
    "    analyzer=ess,\n",
    "    data=test_signal,\n",
    "    monitoring_period=64,\n",
    "    times=t,\n",
    ")\n",
    "\n",
    "plot_spectrogram(*ess_spectra)\n",
    "plt.plot(t, f_of_t, color=\"r\", linestyle=\"--\", alpha=0.8);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ess = ExponentialSpectralSummary(\n",
    "    monitored_freqs=np.linspace(0, 11025, 128),\n",
    "    alpha=1/256.0,\n",
    "    dt=1/22050.0,\n",
    ")\n",
    "\n",
    "ess_spectra = monitor_spectrum(\n",
    "    analyzer=ess,\n",
    "    data=test_signal,\n",
    "    monitoring_period=64,\n",
    "    times=t,\n",
    ")\n",
    "\n",
    "plot_spectrogram(*ess_spectra)\n",
    "plt.plot(t, f_of_t, color=\"r\", linestyle=\"--\", alpha=0.8);"
   ]
  }
 ],
 "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": "3.7.4"
  },
  "nikola": {
   "author": "Tim Anderton",
   "category": "",
   "date": "2019-12-27",
   "description": "",
   "link": "",
   "slug": "streaming-spectral-summaries",
   "tags": "",
   "title": "Streaming Spectral Summaries",
   "type": "text"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
