{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [],
   "source": [
    "import scipy.stats as st\n",
    "from functools import partial\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import scipy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {},
   "outputs": [],
   "source": [
    "t_stop = 0.1 #seconds\n",
    "n_cells = 1000\n",
    "depth_of_mod = 0.3 # depth of modulation\n",
    "f = 64 # frequency of oscillation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [],
   "source": [
    "mean_fr = 10 # mean firing rate\n",
    "std_fr = 2 # std firing rate\n",
    "a, b = (0 - mean_fr) / std_fr, (100 - mean_fr) / std_fr"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {},
   "outputs": [],
   "source": [
    "d = partial(st.truncnorm.rvs, a=a, b=b, loc=mean_fr, scale=std_fr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {},
   "outputs": [],
   "source": [
    "frs = d(size=n_cells)\n",
    "                    \n",
    "t = np.arange(0,t_stop,0.001)\n",
    "z = np.zeros((n_cells,t.shape[0]))\n",
    "P = 0\n",
    "for i in np.arange(0,n_cells):\n",
    "    offset = frs[i]\n",
    "    A = offset/((1/depth_of_mod)-1)\n",
    "    z[i,:] = A*np.sin((2 * np.pi * f * t)+P) + offset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0, 100)"
      ]
     },
     "execution_count": 86,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(z[0,:])\n",
    "plt.plot(z[1,:])\n",
    "plt.plot(z[2,:])\n",
    "\n",
    "plt.xlim(0,100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {},
   "outputs": [],
   "source": [
    "simSpks = []\n",
    "for i in np.arange(0,n_cells):\n",
    "\n",
    "    r = z[i,:]\n",
    "\n",
    "    r[r<0] = 0#Can't have negative firing rates.\n",
    "\n",
    "    numbPoints = scipy.stats.poisson(r/1000).rvs()#Poisson number of points\n",
    "\n",
    "    simSpks.append(np.where(numbPoints>0)[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'node ID')"
      ]
     },
     "execution_count": 89,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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+AN4D0LXw/UEAFxf+XlD47XYAlxY+Xwbg9sLnCwA84PcOncwiCqd2FEjKgPbLSipyOmBYu3yYOoS1y8u8M+q6htEMrOd1+kvCang6tIw4NRcV60sSmcUHAHoin25kLoBzAHwKIFO4pxLAU4XPTwGoLHzOFO5jXu/QwSxUTNYkqcBJCNvltaWdPl5EU9SmINk6RPFu3WZQmcWHV65uoSRMP+iISNQpEMoyz5LXLPL04OcAPgOwCcDfAPQCsMb2/yMBvFr4/CqAI2z/ewdAL5cyqwEsA7Csf//+0o3kBZULUxLMSknRcHh0iEQ0JaUORMnoUxHo8BdZ90V1rjUPQcaDV/2CMiFdgphMX3QanwWAQwA8C+BQAFkAjwC40IVZrCp8fs2FWVR4vUO1ZuE1EGXPvJCFrjKTrOE4Fx9VG7uSsqjHRUfQBdWP1qjPZnFDUIbl5g8T0Wz9aFHdv86+05WiJ2nM4rsA7rJ9rwJwW5LNUDzNoqampsMk8YrpV/HepDMhVXSI2spl6pCUtozTfKbLh+BkFmPGjFFSJ9l2lfWv8NpDRLONGnZavXbJdzbN4rSCttANAANwD4ArAPzD4eC+rPB5osPB/aDfO6LyWVgSh/NSZRZREe0he09ctmc7pk/nZz4VgRutusxWsot/1JFUFo1+i0kYe3hDQwNls9li26rINSbL2GTGjFVXXqqbuP1hMnTbx5CKvFSJYhZ5evDfAN4s+CPuRT489mgAS5EPkf0HgPLCvV0K39cU/n+0X/lRRUNZ+WCSpFmIPCNq/pExC1n3qZhUose18rQSP6e5yoXZa/H3M59FEUkVZjzw6umk1S7VqwrtlWXuMmPGqqvX4poUzdsNvDEkeryBF7yYRSyHHxHRNQCucfz8LoARLvfuQd50lQg4D1y54oorsHLlSowdO9b1QJwwCHJIjMipbLx7amtrXQ9Pcf5+2WWXAUCHw1mCHiTjdlCM82CjpqYm1+d4x9i6Hbeq6sAdJ3jHrTY3N2PixIkgog70iZ64pwphxgOvnk5a7Yc+EVHxAC+ROvH6UfZgI68xYx9joqf6qTqOVwd4YyjtODhN9XgyJ+VJwm/RUT3AvAat20IrMsnCnjBmTTT7wiJ7dKhFP2+hKC8v96SP9z6vk950LAC8ics7p9tJh2oBwwlV48Fr3DuflzkLm9ePXu/jjXu3MeM8avSWW27pQOuwYcNchRERxHkkK28MAWJHMgcCT+Uo5avUDj8KAj8bchCfBc9JaP89k8m4qu5BolH8TBtBbOhh/R1h4ebbitMxaqcpiA9L5Tt4z6kKTXWjwS1SS0Uf6QyYiBNImhnKIDy8JHkRCdrtHvu54Lzzwr2kl/xY2/vXD14SrV8dKisrMXPmzOL5334SZlSIUmtQibBal+zzdqlcxjwYdtzb75sxY0bgs86DaNJBEKf2sg94XKSUr/1ds1D5Dt07V2UlUp5UqDJ8MEropjWJEnAYmoJoIlakVjabFQqG0F0HFe/QNW6QtGgo3df+wCyI1A0YmagirzJ072OwMwj7ZqmoQlBVI4oFJ0k73VXRJDPueaZVv7J0m+5EnuW1k85x48UsjBkqIYhL3XQ6ABcuXBjIYa0r2sjuBGeMIZfLFSNerOgPL2dynPDrU5k25pXl946wwQw6EJYmGZOXPVKrvb19nza2lzV79mzU1dVh6NChuPXWW30d9kFNd6KRg7x2isoEtg94XKSUr1LTLIJICkGf8XMAWrtvRbK9RiHBO/cxpNPpffZ7JMmZbEF0fwPPRCJSlugYSKJZLiqaRNvIuU/D2q+gQ2uV0axUaP0ygNEskg0vSYEnOcpKF6LSzGOPPYZHH320GGbolKiC7qcICrt0lclkimG7RIQhQ4Yk1pks0j+rVq1Ca2srAKC1tRWPPPKIVF+LjoEwzmtL2h47diyqq6sDleGGqPYxiGq8dXV1Hb5bGqsOrVVGs7K3U9CgAGXgcZFSvjqLZuHn4JJNh8Czf1o2XWf6EreEcHHYwC3pipeeIYkQ6Z/Ro0d3aG9LcxLta90+D9Fd0boQpUbkrGtNTY1WrTVIYEcU2jOMgzsYgkbqqHJ4+S3M9mf83u0cbG7RQ2efffY+Jim/cqI0bSQxsscLfv3DM3349bXI7yrgZGajR49W/g4e4uhr3omMMvPMeb8qRCWkGWYRAEGigVTn9JexScvYrnnSkmiq6Tht4Em0v/vBq3+sBaqmpiZxjDBOzSLuzZVuEPVD6dJE4tYsjM+CA1mfAC+vUhiI2ltlbde8zUhVVVWYM2cOWltbkc1mUVVVxaVLt52U56tJcs4eJ6w6rFu3jts/1dXVRV/AmDFjEuV3sejS4bPwg1faFpUQiUIU6UcLonNRNvpRV7ShFHhcpJSvODSLMWPGcE04uqXhIFpQEiKdgtBXKrDXQUXq6P0NUWgWspqCSD/q1D50H7RGZDSLQJBNZHbYYYd1eN76rjN6SDY6QuT+JEjuscWRK4S9DgA/u6mBO6JI2yIyzuptWYyJCNXV1Z79KKIBBNlfs3XrVtx4440AgKeffhrpdBq5XK7D3ijt4HGRUr50RkN5Raa47RTVJSGp1CZE3xeVxlHKmoWfX8h+TynVKw4kQSPX4bcJ4ovkHbQGxcfYwmgW4pDddVtbW1u8/9Zbb90nsZ0u26us9B1kL4eFqPdWOJMEAsCMGTMSL5U728lt52/UbVnK0K3lilgP1q1b53u2isr32mGfs4yx0O8NDR4XKeUrqGYha2+0n4XLs2c6NQtVB62r0iy8QmotRJUk0I3W8vJyymazSqPMdEGknZKYq8mgI5Lib3LOzZqammLknMjO/yCA0SzEICKt26WCdevW4Y477iju8ATyzNf+rN32mslkMGfOHLS3t4eWKmWjI3j32+vMO91t5MiRyGQyyOVyyGQyQvbjMBK0nSbLVgyoizLTBa+duZakWlFRIbR7N1GpqQsIQlMS6+GHpPibeHO2sbERM2fOBGMsWo2Dx0VK+VKlWfgd1O6UQHgSsCVhJ3EHsr0OvDOhef4YL4SRoO00WWVAg33W6/0qN1fyJEReVEsSfTayc8N6RvXeoyiQdP+eTu0UZlOeOEQclLz7eQuqbJlRw4++IINT1YTzalcd0LFQO5MhWonpvEyXSRMqeHVwayOr75zh5KoYfRQBAvZ3yLwvCkavM/TdMIsAkJ2wornn7VJlWOiYNColXV76hDA0JVFq86OJp70xxlxTfCRds+BpoM77dGiFQdomrKaoIgebaujSSA2zCABVDmQZiSwMfSJmAefzuu9XveBFYdaQCWuU0Rbd0np4OU+jkJ5F4MaoverMSymvSiuUXYzDjsOo3xcGKhiVYRYBoWJBFZXIZBGGCckuiEEGvA4JSzR3VVjIaAr2E/vcpGy3xZV3BGxSGISFIOYO3UJM1JJ+1JpMGBjNIkZmwUNQJuK1aAShISgTEplAKnwOqiQsERu41+KlMwNoKpWibDbrGZLsxVDsdCbN9KQiZFqHvT9qH0LSmLgXjM8iQcxCVHLyW7xUOLuDliUygVRoBiommZMp2pmF5Qvh1UfXAuw1Bqw62yPfeAzFDr/2VrVgySzkUQsMuuz9pbTYxw3DLBRCxPwTdjEOMrhVmMyc/0+CpGtvJ8sZbLW91Wa8ttTpbPQzOTr9ETJh2G4mHxV9YS/HvqE0KabIqMZcZ2AeuupgmIVCeJl/rN3ZIvspdErDsiaZKE04shBZ4KLWLHhwLo6yu/V57a2K6TkZr9dhSyqQRHt/UoSgMBC1bgSBYRYBIWNKEkn9IVK+zMLgJ90mcUENAhHTSRIYnsq2dNZZ1tHsVhZvvO5PUrxqjT4O6IqwJDLMIhBEJ76bjTqIVBnkvX6huiLazvTpyTuRrJSh2k9j9a2MYOBVFi8SqzNDhPGWgtBkwcu6EXb+ejELkxuKA9nT5xobG3HPPfcUc/5UVVUJZ3V1lhfmdDx7fiJ7Lqp0Oo1MJt/d9pxEUZ1IlgREkadIRaZUt76dMmVKoFPZnPfMnz8fu3btQkVFBYYMGRKKzlKAW44yvxxpslmZo4Z9jaioqMCVV16p9dwPC4ZZcOCVFM4NXkm/dKSk5tHHS3QIuCdEa2pqUp6CWTVkjr7kpZp2TqokpwYXTdwoMkbt96RSKTzyyCMA8gfoZLPZ4gE6SW6PMHBjArx2cmvzpKaUtwslQ4YM6VAvben8eSqHzgtADwAPAXgTwBsAKgH0BPAMgNWFv4cU7mUAbgGwBsArAE7xKz+uTXlu0BkRoiKiSZedXRXC1MH+u8heh6jqJPJO0XxYMj6LESNGuB6eE3SzWimYsNzMcLyxwju8TIV5OQqomMtIms8CwD0AflL4XFZgHjcCmFz4bTKAGwqfvw5gfoFpnA5giV/5ujflicDNqRhHrLnMYqLazq4CIu0hEjorstchqjr5QVfIr/PUN9n2sFBK9n2ijuNbNszaXtcowo3DQMW48WIWkZuhGGMHATgbwMUAQEQtAFoYY+cDGFm47R4A9QAmATgfQG2hIi8yxnowxvoS0fqISReGyIlp1n1O04ms+Yv3fnu5In4SHXZ2neY2kXucv/P6Ieo6+UHFGHBDdXU1ABRPILSbL2TqFVe7BIVzfIuMFT+zLq/ecZqtdI2bInhcRNcFYCiApQD+CmAFgDsBHABgq+O+LYW/cwGcZft9AYDhLuVWA1gGYFn//v2lOapKiHD4sOGQPOiS+lSYvHS92+ueJLal6Ls7s7kjTgQdKyL1jju6MOy4QZLMUACGA2gDcFrh+x8BTPNgFk+4MItTvd4RtxlKdFDpMDXoKFc2jNhvoCZ5IXRCN60qy3eGiJYK3aUEv3o7TX0qjiKIEkljFocBWGv7/sUCQ3gLQN/Cb30BvFX4PAvAf9ruL97Hu5Lg4I5LEtdRrkoGVMpSaZjx4Ha2h+rgAl6qkVJq41JH3JpFWARmFgAuAvASgJ2FaxmAKq9nRC4AiwEcV/h8LYDfFy67g/vGwudvoKODe6lf+XGcZxH0HTqkM9XlqmwLnfmadCJMG/CkTZULS9SpPKJGqWgypSwMEXkzC66DmzFWBeBKAL8sMAwG4BQAv2eMgYhqec8K4AoAf2OMlQF4F8CPAKQAPMgYGw9gHYDvFu6dh3xE1BoAuwr3akcUTjwVjmULPKd2mA1F9mdFNgqKQJcTTvfGqTDjoa6ubp/v1dXVSjdE2ts1nU6DMYa2tjbtG7WiQJL2OviNM9FNtXHRFwo8LgLgRQADXX4fCOBF3nNJuEpFs1AFHq1h6hCHwzqo9BiVFhg0KV5NTU0HzaKmpqaYgkWlyUK3z6KUQ0JVQLXZMI49SX5AEDMUgNeD/C8JV5Q+iySox7Kx42HK1IUwA10nrUEXYGd9xo0bR8cccwyNGzeuJH0LQftHxfxwvltlllUZqBpnuoSbOPdZ7A74v04DnplINoWEbhOJ6D4DGXOE9phtB8KYeXSatpzmjylTpgg9a69Pc3MzHnjgARAR1q5di1wuVzQ/uaVgSSJk+kd1ihWvXEhB5pzsfLTXRyQNix/i3JMUCjwugrx/4BWXaxWAnbznknDpCJ21JCT7juxMJlN0JPLMCFGZc3gSnFsUjlc5Ir/rQNh20kFrGEnNXh97ZtAgO8mjhltbyoRPy8wPWajYwyQzzpxRZtlsVigNi2iZcexJ8gICmqEGeF2855JwqWYWzglgTXz7yW3gxFTrMpGIDDhV90SFJJj07FDFwFSeva4bfgutH93OqCy/+aGSPjsNPF+Q6Hy06mpP7a8yyizIWI9ifngxC64ZiojeV6O7lD7samMqlSpGmwAoZnQFgBUrVuzzrC7VUESVVXVPVFAZHaYCYSNbeJlBk1RHJ7zGg0j/OLPctrW1gYiUZTQW6ROvKDPnfKyoqChmabXqbzd1pW2p/VVGmcmO9SREhHmFzu5AXiLY518AiIgO0kZVwtBxgJXjkt/dhjVbc1i7pRlbcl3QvnMrmj94FRsyvbGrpQ3dyvY2q65QujA5k1Z+sBVT73kaqzdsR7duA9HnwpvQumU99rz+LM7+0peU0KcLbe05rPhgKxa/vQnPrf4UG7fvwYCKbjiq1wH4/BE98J1T+qE8k1b2PlUMrEM48ztNmLdqPT7csgsfbX/IfPQAACAASURBVN2N3a3tOHNQL3z1hD4485he6Fqmjn5ZiIyrNRt34B/LP8Rzb21CJs3QNZvGQV2y+NbJh+MbI07TftaCX594pd0//fTTcesDT2L+stXYnOqBaav2oH3Hbtz8/N/RuuFd7HzzeVDzZ1y/EoBYmL6diee698a0+W+j4vUUtu9uxfY9bRjcuzvGDOuHLx/fG12yesYPy2senQvDhw+nZcuWKS2zsbER//evf+PVzLF4b1s7yjMpHH4Aw2uNC5A64BCU9zsBLFOGww7qgmljTsLXTuyj9P08mvwG7uzZs4uJ4wae+W38pf4drPxgK3LNu9C8/i0g1w4QoazvsUh3Oxi9u6Vw+ddOwA9PG4AlS15UNjFUOPlXrNuCmodeweqNnyHFgKFH9sCAigPwftNOrG3ahc07W3Bkz6749TnH45tD+iKVYqFoVl2Hlz/Yij88/RYWr/4U3csz6N+zG/od0hUpBrywpgmfNbehe3kGk887HuNO61/UXqMGr57L1m7G9fPewIp1W5FOMVQeXYHyTAq7W9vx4ZbdWLd5F/oe3AU/PvMoXFg5AF2y6VgODuJJ4e9u+gxTH30VL6xpAkDo3r4DG95chtQBPVF+2DFIdemO9t3bsW3xfdjz2gLk2tti39dhr9M5F/wEXU4dg66DT0d5JoUTDu+Bg7tm0b08jWVrt2DjjmZ0L8/g4jMG4r/OOS7Qexhjy4louOv/DLPwx449rZjyz1WY+8p69D24Cyafdzy++fnDkU6x4mJ8/v8bi899+f9hxrw38OYnO/D1IYfh2m99Dr0P6qKMDlkUJ017Dj2//FN0O/lcHNXrAOxc8QSWPfRnUIstqC2dQffjz8Lnzr8Un7QfgFP6ZPHUdT9E847NoSdMWBV6d0s7bnrmLdz1/Hvoc1AXTDr3eIw6rjcO7pbtcN+itzdhxvw38cb67Rh6ZA/8ZdwpOLxH10A0q6xDa3sO//34a7jvxXU4pFsWE0cdgx+ePqCDBNjSlsOS95owe9G7WLz6U3xxcC/cMPbzyugPg/Yc4bb6Nbj5X6tx2EFdcPEZAzFmWD8cemB58Z5cjlD/9kbMXvQuXnx3M04+4mDc9sNT8f4bK12ZhW4mYi+/LUe4+ek38UprH5SlGDb86w5sf2UBUu3NRbNSOp1GtvfR6P7Fi9Cl/xD0KWvBWWVr8R9fOT12RkFEmLXoXdww/01k0Y5vHHsArv7eWajovrf923OEF99twiMrPsKg3t0x4UuDAr3Li1nE7ozWcal0cH+8dRedc/NzNGjKE3TzM2/Rrua24v/cnG0tbe30p2dX0+DfzKMR1z9Db67fHur9YZxa06dPp7IefeiwC/9AAybNpW9NvZta2to9zzV44YUX6O7n36WjJj1G/S6dQ2V9jw3tzAvi5LfqPe/Z5+ncmYtowKS5NOWfr9D23S2ez7W35+gfyz6gk377JI24/hla9eHWwHSHrQMR0dadLfSDOxppwKS5dN3jr/nSn8vl6L4X19IJU+fTSb99kp5fvUkF+YGxaceeIv2X/99LvvQTET316nr63G+fpCFTn6CDjjlV6WZRWTy76AU67PvTaMCkudTn/Br60aU/5x5mNGvWLPra6NH08/+tpRHXP0MnTp1Pz721URttItjV3EZX/N9LNGDSXLrsb8tpm0D7hwGSlEgwiksVs3j942102vX/os/99knXQeO1gLyxfht94XfP0OevfYqWrW0K9P6wk+qBJxfREZffR0de+SD1OOlLHZ63h9S6MaTaJxbREZfOof6/rKODjztN6aYq0XDFskP6Ur9L7qBjr5pLz765Qeqdb67fTmfMWEAnTJ1Pz7z2SWDa7TSVl5cTY4zKy8uF2mPtp5/RqD8spGOueoIe/Pc6qfe9/+lOGn3TczT4N/PoaQX0B8GGbbvpy39YSMf+Zh7dv+R9yuVyws+u2biDTp7yEPX/9aN0wJCvKtssKoNPd+yh4Vc9SP1//Sh1//xoSqVSNGHCBKFsB3MX5IWUQVOeoLrlHyinTUQI3LRjD33jlkU0cPJc+vPC1VLtHxRezCIlqJoMYIx9tfC5K2PswEA6Tglhxbot+N7tjQCABy+pxNnHHrrPPZYzMJ1O7+PAO/6wg1B36Rk4pFsW4+5cgvq3NkrT4BaZIoLGxkb8+nc34XcNO1DR8xBcUPEB5s2e0UGdrq6uxlNPPYXq6mpUVlZiypQpHf5/4de/iDu/dyx6ledw6HemorlnMLUW2OvknzZtmpD5pr6+Hu3de+PQ/5yBVJcDMWzb83jxn3ehsbFR+J3HHXYgHr7sDBzTuzuq712Gx1/+ODD9FnK5HIio6Pj0wvtNO/G9WY3YsrMF940/DUe0fogZM2agsbERjY2Nxc889K/ohgcuOR0nHHYgJty3HI+u/Cg0/TJYv203vj/7RXyybQ/uHX8aLhgh50MZdGh33HRuX7R8sAoV5/0MB508ep/Nom7zRhU+3rob3729EVtyXbHp4evx2StPI5fLYdiwYa5j0TnXXlmyCA9ccjpOO7onfvngy7hz8bsAINR3frBMmlOnTsVXvvIV17KaPmvGuDuW4O1PtuOcru9hWPmm2HxYRfC4iHUB+CmAfwN4p/B9MIAFfs/FeYXRLBoaGuiX026iE69+gr54w7P00ZZdvvd7SQibduyhr/9xEQ2+ah4tflvOpBBEs2hoaKDu/QbTEZffR0dMrKWHnlos9U4nNn/WXKT/2TfkpPugmH7rXXTE5fdRv4m1lO01INQmtp3NrfTd2xro6ClP0JOvrg9M04QJEzqY7iZMmMC994PNO+mMGQto6H8/RW+u396hH0WP5rSwY08rfe/2Bho4eS49tEy9hOuGD7fsoi/e8Cx97rdPBtaKLdQvfoHO/M39NHDSXPqHjX6dewY2bN9NI3+/kE665kn62XUzhfJv8eZac2s7XXbfchowaS5d+7dnlZjP/LINb/6smc65+Tk6ZspcOmjwFyLdn4OQmsVEAGcC2F5gLqsB9FbMsxKBxsZGjP7uRXhwYx9s37wJ/3Vq1tfB6CaV29Grezn+9pPTcPShB+CntcuwbO1mYXpkJXIAeGRBI3r8v2tAuXZseuA3eHv5YuH3ueGQA8rwt5+chuMOOxCX3Lsci1dvClWeHz7YvAv3fXQIAGDD/VPQ+un7aGtr89WueBJft7IM5vzoCxjS72Bc/n8vYWEADU8G67ftxg/uWIIde1px7/h8uzml1tbWVmFtsXt5Bvf8eATOGFSBXz/0Mp589RMhOoJKwBt37MG4O17Ell0tuO8np+HUAT2lnnfiS2edgX9d812ceUwv/Pqhl/Hwig8B+M+boNiyswUX3rkUG7bvwV9/9AVc8NURKC8vRzqdRnl5OVeL4c21skwKMy8Yiq+e0Bt3v7ILmcFnSmv6TnjtA9m2qxXj7lyCdz/didFd3sXOd18qpoyZOHGipzaiGyLMopny52QDABhjGbjvvyh5PLqgAT3GTC0stFfjtaXhFloLPbqV4d7xp+Gwg7vgR3f/G69+tE34WZlJ9eGWXXim7QQwBnz64FSkdn6qRMXv0a0M943PM7zq2uVY/v5ehqdCLbewcfse/PCuJUCmHFsfmQba9gnKysp8TRZ+ar214B7b50BMuHc5GtZ8Kk1bVVUVysrKwBhDWVkZqqqq9rln045mjLtzCTbvbEHt+NNwUr+DAexrdslms8XP1qYwr/brkk1j9oXDcfKRPfCz+1dg0dveDFvEzOGGrbtaUHXXUmzc0Yx7fjwCQ4/s4fkOO91e46BLNo07qobj9KMq8F//eAVPvSbG8GSxY08rLrp7Kd5r2ok7qobj1AE9pQQu3lxbtnQJBny0AEd13YNDzvkZup94tnDfucHaBwKgwz6Qnc1tuPivS7Fm42eYfeGp+OHXhhfHTTqdRi6XC82oQoGnclgXgBsBXAXgTQBfA/AwgOv9novzCmqGeuSZxXT4RTdTee+BWqI0Ptyyq4N5QiU2bN9NX7rxWRpyzZM07Za7fPNB2SFqErDecdI1T9KrH21VGtWyacce+ur/1tOJU+fTS+9vlsr2Kuowbfqsmb52Uz2dMHU+LVu7WZpGLzq27MybDo6/ej4tfW9f041bfZxpQPzab+vOFjp35iI67up5tORdvnkoiAN5wXMv0BeueoAGTZlLsx55zjNXmFv6EpF6fLanlcb8+XkafNU8WvS22iijz/a00ti/vECDpjxB/3pdXUBAhzF+YA8685o6OmrS4/Srm+5Rmv5/d0sb/efsRjp6yhM0f9X6DvdGmTIGYaKhkNc+fgrgHwAeKnxmfs/FeYXxWbzwwgta7YIPP7OYTpj8MA357RO0esNehhHGhrtpxx4afdNzdMLU+XTP3EVS52XLLlgfbN5JldP/Radc9zT9atpNSqJamgo22uOunkcNaz6Vfl6GaW3YtpfhqQqr3b67hb79p+el/VJBFvWN2/fQqD8spBOmujMlInlf14LnXqC+P7yR+v/6UTrohLNcfSq8/GjpdJpGjx4tXI+tO1s8mWoQ7Gpuo+/PyvulnnjlY6lnZQWRa6//H/r2n56noyY9Rt0GDQ889u3RiC1t7TT+r0tpwKS59M+X+H6poHNWBqGYRSleOrLO8iCzyFsTrrxXfzri8nvp5N8+QWs27ggloa/fmg9vPO7qefT86k3SWTlFM4Pa6/nOxh004vpn6HNXP0EH9j8x1KDd/FkznTtzER37m3nSewpktA877BpeWIaxdWdLUaKVDdEN2u8btu2mUb9fSCdOnU//9mAYIu2xbXcLjbjqAer/60ep2/Ff5CbLs48rZ+Zc2cVr4/Y9dPp182jQpMdo1iPPBaLbwu6WNvrhnS/SwMlz6ZEVHwo9Y39XkESbW3e20NnT51P/X/2Tug0cGk6zOPBgGnPTUzRg0lyqbVwr9LzO0ONAzAL5VORuKcpfAfAK77kkXFExC9nJbo+CKDt0AB03+REa/rtn6Mrrbg7U+euadtIXb3iWTpw6n15851NhmmQzg7qVufbTz/L7GH7zBP38upsDMYqPtuyi82YuosG/mSe9+SmsCey9TXn6T5w6P7BJ5OOtu+hrN9XT4KvmFSVa2cUuKMP7xMYwXlgTbOPe1p15jejoyXOpx0lf8ozWcu4zcZpBpIWmQ3pT3x/dSv1/9TD9sa5+7+8Sfdr0WTN99/YGGjBpLj0guY+FSD4DrZ2eps+a6dSrH6aBv36Ufva/tdLvTaVSxMq6UZ8f3EADJj1Of3vxfeHndW5q9GIWXocffbPwd2Lh772Fv+OQP+tiv4dsxlZ7FETLpvdxYb8mzN95IOZuG4wDTxqFHa8uFI47X/7+Flz+fy9hZ3Mb/vbT04vOSK/EhfZDXGQyg7rVc0plJR645HSMu3MJntlxPEZ17e9JrzO9w7K1mzHhvuXY05rDHVXDXfexeCFsttyBvQ5A3aVn4OK7l+JHd/8bN/7H5/GdU44Qfn7Nxh2oumsptu9pw19/9AWccUyvQClBrKR4ss/2OagL7q/Ot/+Fdy3FVV8/AT8+c6BwLP7rH2/H5fe/hA8378asC4fjgG/PKPYP4J4sL7+W5P8OGTKkw/9kEi7W1tZi95aNaL5/Cnp/91rcvORY9Dz8faxbWI/m5mbkcjk0Nzd79umajTvw478uwyfb9+CPFwzF+UP7Cb3bDtGM0G51e+uV5Xjjz9U46Lxf4dHUSSj/67O44aJRQu1fUVEB1u0Q9B47FWWHDsSY3lvwg9O854+TnjjO+fZNUc4YO5OIzrT9azJj7AUA1+kmLumQTT/uzIaZ2rEBj14xDpfe9xKWnnslvnT+D3DlV4/z7PzW9hxuWbAaf164Bn0P7oq/V1fixMM7JgB2G9zOxWjmzJloamoSygzKq+cRh3TDg5dU4rK/vYSf/30lnnt7E647/yR0L894vLsck++ci3tf241+Pbri/p8Ox+A+8ns8vVJNi+YgOuzgLnhwQiUuqV2OXz74Mpa8uxk15x7XIeeOE63tOdz9wnuY+a/V6FaWwd+rTy9GPYVhYEGe7XNQFzx82Rn41YMvY9rc1/HKh1sx/f8NwQHlfBmQiHDfi+9j2hNvoEfXLO758QhUDqoA0Gefxd9JX3t7O4gI7e3t0szZDbk9n2HDA1NxyuV/xtWPvIpBXY8F69YD+GzzPiGlxWdyhLmr1uM3D69CeSaFv1efjlP6HxLo/c5FF4DrGHJDfX09mrdvxicPXI1e5/0cD2IUdt6/Ald/4wT0PZgfbk9EeGF9Dof/5C8AS+PTh3+HPuO/E4j2yHNW8VQO6wKwEsBZtu9nAFjp91ycV5Q+C5GT6CzwUkY0t7bTpIdepgGT5tKp056mOxa90yEHFVHetvzPlz6gb96ymAZMmku/fGClUJ4eC06V254TR8SE4HVPa1s73fT0W3TU5Ll01g0L6I5F79CGbbs7vjtbRgec9GU6/Ce30YBJc+nCu5bQ1p3h8tz4OfxETSfPLX6Brn/idRo05Qkacs2TdPfz7+6Tg2d3SxvVv7WRzrn5ORowaS79+O6l9KFjw6aXecCvjcOYFtrbc3Trgrdp4OS5NPS/n6L/fepN2rh9zz70P7LiQ/r+rLzZpuquJbRpxx5Oie70yaY78SqrrKyseOLc8y+8QHOef5cGTXqMjvjZ/XTgF8ZQ9pC+HcZoLpejZ9/YQOcV8oR9/Y+L6IPNOwPT4EZT0BP0unbtSjV/XUCDr5pHx/5mHt0w/w3aumvf8fP86k30wztfpAGT5lLfcf9DZT37xX7gmBPwMEP5Zp1ljJ0KYA6Agws/bQXwYyJ6SRP/Cg0dKcrd4GU6cJNoGxsbMXLkSLS2tiKbze4jnS1buxl/XLC6mML68B5dcOiB5WBgWPJeE1rbCYcf3AVTv3kizhvSNzCtmUymKCGqPDv832s347rHX8eqj7YhxYDhA3oim2H4eNNWvLN+M1LdDkbrprX41Xmfw8+/8yWkFaUQnzFjBqZOnYr29nak02lMmzYNU6ZMwaWXXorbb7+9eF86nc/yamlWzrOcDx10Eq597HU8X9iHMbCiG07oexDWb9uD1z7eVmz/a779OYw+sY+ryYHX7yImprCZWF9atwW31b+Df72xAdl0Csf1ORBds2mUZ1NY+cFW7NjThn49uuInXzwKF1UOlErh7jd2g55rbb//n888j8trX0RZvxMAAK2b1qJt6yfIHNwbh/QbhM9aCUf27Ipffu1YfPvkfoHHj9u7eWNIppwPNu/CTc+8jYdXfIQUAw7v0RVH9ToAjDEsfa8Je1pzxRT0R+U+wqLnnov8XAw/eGWd9fJZAACIaDmAkxljByEfMiu+o6yTwhok69at62A6qK2tLfoE3A6V91Plhw/siXvHn4Zlazfj0ZUfY+OOPdi0oxm7Wtpx8RkDcd6Qvhh6RA/pSW4NaEvlXrduHe644w5Pk0cQ+/sXBvbE41echTUbP8NjL3+M+rc2op1SOKpvBY44KI3uTW/hwvGn4IwzzpBrcB+ImgOtUw1bWlpQV1fn6oe5d/wIvPjuZix/fzNe/Wg7Xl+/HX0O7ILxZx2NU/r3wFmDe3U43MoJN/OAqIkprGnhlP6H4I6q4Xh302eobXwf6zbvwu6Wdmzf04avntAH/3HqEag8uiLQOR/19fVF31ZbW1uHOoTx1djxna+dhb7d03h0QQNWbmrHyt05pA/pi7btm9CfHYyLx47CmGH9UJYRSmnnCh6tsiZltzoc2bMbbv7+UIw/6yg8/foGrP10J9Y27cSe1nZ8f/iR6J1rQtMbL2IQHYTKM87AmYrngXbwVA7rQl6juAnAssL1vwAO9nsuzkunGcqufpaVlVF5efk+USTOOHQrykJ1FENQ04ZsxJTOzKA8yEYVuZkDvVKx64xVd0Jn9EpUcLalvZ3DRBXxoKvNvGgNs9fJDyrqo5M+CwgYDWVhDoBXAXyv8P1CAHcDkPfKdALYpURg75GLdmndfk63XUpRGcUgIs3xJFoROoJIWqrgVTf7yX/V1dXF+y1NbvHixcVIHWdAwfjx44vHY1ZWVkZ2LnZc0Ssq4XVUqchYkdU+4jyOWAfCRu8l4QxuIQe3yG9JuqLSLGScqaohuvkuDE1RSDJu+wwmTJjgWjeedMtri84g0auAin70a0u/d8StqdrhRquzfqrnb5jgB6Lo2g8h0300omM01JkAGv2ei/PSHQ3FG2z2CA/dC5Po7lOLpmw222GzVRTpjv3AM+nZP9vrNnr06A7MYvTo0fuUE2QidmaoZJhh2jLpjNu5Qz2TySinVYRJ6YiWk0FYZnEygJcBrAXwPoAVAE72ey7OK8rQWQtxSE4y0pw9jUMqlaJ0Oq0kDDIMePQ5Q3stODWLmpqaQLuf40aUtCZdok8K7ItxNpt19TnKlCVaT5n+idtnIbwAAzgIwEGi98d5xcEskig52WmyO+CtwWldY8aM0TIIZRzwPG3CiZqaGjrmmGNo3LhxiWtvL/jtCdH5XpnEkklvR51Q0Udh92vE3f5ezEJkn0U5gLEABsIWaktEid3BHdU+CyfCxsnrgJ0mIO9oW7p0KR555JHiPfb9B6ocZ0H2Flj08VJO2MtkjCGXyyGXy+0TFy/aD6r6y68cL7qtAAmdY4bXxmFCXzs7go4NFfs14oTXPgsRjeJJAA8AqAHwK+vyey7OKw7NIiqoclZavox0Oh1K5eYhTDglT9qyJ2K0/DBBwoJl7vODbBiyPWOr7BGrYeHVripNVbwxKjJ2Zcd30jSipGkKskDI0NkjiOjc0CzLAcZYGvl9Gx8R0TcZY0cB+DuAngBeAnAhEbUUNJtaAKcCaALwfSJaq5qeoIhSKlAlAVobBN02EIYJJbS3RZhwSl6YoT0RIxHhF7/4BXr06NGh7UVDFMOGMoqU45a40Z6Xy7k50trUqWss8WhVGU7K61ORsSs7vhsbGzFq1Kji/QsXLlTWbkHndWcIk+ZBhFk0MMaGENEqxe/+OYA3kPeFAMANAG4mor8zxm4HMB7AbYW/W4joGMbYBYX7vq+YFl+ESeOgCqoWOKDj7lMV+w3c2sJv0sguXs5Y/x49euyj4juf5SUYVLVA8srhJW60m4KGDRtWfDaTyWDOnDm+KVjCgEerygWO16ciY1d2fNfW1qK5uRkA0NzcjNra2khNqDzEkuQvAogwi7MAXMwYew9AMwAGgIjo80Ffyhg7AsA3AFwP4Jcsn2TnywB+ULjlHgDXIs8szi98BvIn9f2JMcYKKlMk8JKARVMqi7zDb7IGWeBEylUxuN0muh99Xgu72+I1cuRIlJeXe9bfvvDx0q447wuzQPLKcbZHU1MTpkyZwmUiUWgZXnVWtcDxxqjX2OVpYFFtmHNCpVAWBSKzbvDsU9YFYIDb5fecT5kPIW9WGglgLoBeANbY/n8kgFcLn19F3hRm/e8dAL1cyqxGISVJ//79ldrxeDZdrxQIMpCxc8rYfWfNmqUsU6gf3DY1yUTheN1vT+WhKyzRq15BbOKy/gFe5Fop2r1lfBZu40YmJYjI3qYgfpBS8TuophVJOlYV+UOV/lL4bDGLQ12YxarC59dcmEWF1ztUObj9FjK7w9XrSFI/qHQw2gePM0R2woQJgcsVfbc1KWXrpIMhh51IKp6X2YRl3c/bwV4qiJKh298l296q6hAnVAcnJI1ZzADwIfKb/D5B/tS9vwH4FECmcE8lgKcKn58CUFn4nCncx7zeoYJZeEk8qmPmVUoH9sHjvHQzCztUxZvzdm3L0MGb9H4Lgq4NbTL7T4Kk1ogTce0ziCrSK2no1JpFh5cXNIvC538AuKDw+XYAlxU+TwRwe+HzBQAe9CtXBbMQzTekKm2GqgXATl9ZWRlls9nIUpC40SKzw9rtHlWmPrd3iaRLicsc4WXKSbKJJMjirGLs87T8pLZX2DrLzi1RlAqzOBrAUgBrCoyjvPB7l8L3NYX/H+1Xrg7NQkRSCbogqgBv8CRBChWdsDxaZU4jFEWYfSAqIVt+0iXlqBdnq/1qamq4QkUUc072uTjNo15ILLPQdan2WYjYQOOUVBsa1B15qRIyNvg4FhnZ96ledILSkERJ2Q4di7PfXMxkMh1yn7nlFlOJMP0QluGr8pW6wYtZiITO7rdwCycUDZVUEUcuCl3x5mFgDxFNp9PIZPJDjRcSGXW4omzorI49NUHqnJRNX17hmqr3GYhs3kylUshkMsjlcpHsWQkzXsPu8bFvTs3lcqioqJAlPxAMswgAt8kgshls5MiRHQZ0XHHkKsFbNOyTCQA3B1KcMfYyi5oOZhZ00Yh701dSNqM62++KK67AypUr0a1bNzz++ONaBY8wC74fw/fbN+F1EJVOGGahCKKbwfKa3t6/KlBVVYU5c+agtbUV2WwWVVVVysr2gtei4ZxMVVVVrmkw7O1k3+XsxlDilKRV7fi2Q0ZLSEIbWHBbvK3fVdLnJ0jw5pyIJhuWJt7GUVHwGL4IIxbZnKoFPPtUKV9xJxLk2SR1Oidl7cSqIlC86iNiZ7YnMXSzMyfJRh9XsECS2sCNHh1p12WjDp1j0ctnEXSuRJFePu7ACxgHd3jIdI6oEzyu0+pULT5BynFmYE2n064n+YWJPktCBJhKJDECyt7GOuiTLVMm4k5mDnoJNzr6Ie5gFcMsQkJl5EyUUgqPJtEdwjpCge1tWV5eXoxiSafTrloGr528GHJSIsNUMbOkaRZO6KBPV7SaU1jxOz7Veb9bWnyVaGjgpzDREULuhGEWIaE6HUccKR3sk0/kVDqdC5RbG3id8+Am/fHCBydMmBDbrnVnHYOGWPPKS7K2FFW4rIoyrfYXOT41amuAjrQ3MvBiFsbBLQBVzk3ZcFKVEI1Ocrufd05DUGem5dxrbGzEPffc45uB1crYakdc4YOi4LVf0KgqkQioqE7+C0qfLHSVyQtE8ctiHEVwAW+tqaur63BfXV0dqqurtdKympIu3AAAHZRJREFUD3hcpJSvuH0WPMg44VRDVqLlmXNUaxx+TnAv84Bds7CbrUQykaqi1etelZqFyPtUmN+SbvJSjSRqbG40OTWLmpoa4+BWccUdDcVD3BNRdrFzW3Sjcrb60er0fdjNVjU1NUK2XRWLv1eZPBuzygXKKmvMmDFKzG9Jitgz6AhrPNXU1Jh0H6qupDILomgmjArHKm/RiMKXIWvHd/o+/JyWQeohsojK+oVE6uYXXGC9z6ItLLPQqfnoKnd/Y0A6GbphFvsRVJk/vO7X7XiUXUxknZZEekIz7WUyxoq5ipwmRxmtyasteGHIouY3FUKFKHQscEG0PZWIi1E1NDRQNpslAJTNZiPTLIyD2wNJ2jUrClWO1SiO4BShWwSVlZWYOXMm6urqMHToUNx6662+wQiyQQsijk57mel0GkSEtrY2pFKpYq6iTCYDIvLMWyTaFs468HbAu8Frp7DK/rXvwlad6kakndzqaT1r0RBkjked8sSOVatWobW1FQDQ2tqKVatWRfNuHhcp5UtnivKkI2rHalhY0lmYfSdBwxt1aUhOR7t9D4lT4wibgTdoHaLwPTnNcqrPVpHV9iwNT8RU6Kd1xXmaYdgDwbwAY4aSRxJ3zYoiSvNCGARd5J1IYl/xNnOJnq+tu6+iEB68zHKq+shvo5qznvZFnkeTiMAV1icVts52ZqFyz4UXszBmKA50JI7zQhCTl/0ZoKM67VaG/fckmNicZgS3/RROuNXZaeJwy/gbNbxMRKtWrUJdXR3Gjh0LAK606s4s6zSr8eiwQ3bMOM1yjDG0tbWFnk9209bPfvYztLS04LnnnsOQIUN8jxQAUNzbw6NJxJQL+O9V4tEddFzan581a1ZxDEW234LHRUr50nn4kY5ygkh5XqGjss5rEYk+CU5tnmRn/UVBQpRpC51wa7Mw/aaTTr/xEFQTsbeBijGkIgLMjyYdptyw7RdVeiAYM1Q0kBl4dgQxo4RR8WXz4+iMOpF5hldn6691BTF3RGWiC9pvOukTGQ8yYzQqWp1X2NQuIowtSh9RQ8PejZZ2v5dOU6thFhGAt6DKxudHrVmIhJrqqoMseJqFc/GwfgvSlrol/CD9pps+kfEgIzBERatKp3kUdMvusHfmOZMd10HgxSyMzyIA3Ozm69atEzrNS1X+GTdbrOjzsvlxROoQJvTVgp9Nl1fniooKXHHFFcXDn2699VbhEFJVtItCtN/sbaGbPpHxIDpGddHKO3TIemdY/1QUYyC/Fgc/+Oxb3/oWRowYEZ8vjsdFSvnSmRvKbju0S4ZhwvB0SDEy5YqkPtbhd1H9fNC2jFKzCEJP1Onsk9aWUWutOt4R1AylK88ZDzBmqHCwDyT7ASheu3RlyowzrYJKOsIsMnGHv0blsxCBW1skiT4/qKLVKieqPQ2ydMvcryJAIAoYZhESYWPm/cpUOQFky417kbYQp2aRNASxb1vPdaY2SMKeBhH6ZHxjSe8fL2ZhfBYC8IqZB4LZTHXt45AtN+r9JDyEOTfAmXpBJu1FHBCJt8/PW3H7tmj6iTjPvJBB3HsaZOgT9XGE3TsT+94oHhcp5UvHPgsdUkFSfBalIPF4QTYUWAWCtpmIRBo2lFp3xFrSfQhuPh/V6V+i9nNF9T4YM5Q8gpoCDKKHSOinrvfpMD8GNXHwnlFt+4/KdBmUIQcRHpJuVoqqzb2YhTFDcVBbW4vm5mYAQHNzM2pra7Wq9QbBIRsKHBZhwiyjCqW2p3VRfZRvVKbLoGYbO32pVAptbW0gIjQ3N6O+vh7AvllneaHvOugLgiSYiw2zCIHGxkaMGjWq2IELFy5UHlNuGJAchgwZov3M5CATl7dPgEdfkIXI7Zmwtn/ee6I8l1oUbm28detW3HjjjQDyZ7Vv3bq1A/O0ckOpYqS6kIg256kcpXypMkP5xTg7d1iGTTdgvTfOmH+VqnVUanocbZZk+7bz3Ukxp6oOqXWa2tza2DlHR4wYwU23cvbZZ9MxxxxDNTU1oejTBd0+VCJjhpKCc+ds1Jw8yt3ETqg80CXKw2HiaDMZyT/OPgXC7xxWgSDjwU3D5pUj2saHH344Vq1atY9mkUqlsGjRIgDAjTfeiEGDBkWXzVUA9nqLHKClAyntbyghWB0ydepUfOUrX8GqVas87x82bJjn9yCwTBzpdDpyddhtwqkqq7a2FjNmzEBjY6M6ggtwtpmVolzHu4Ig7j5tb28vLi5h+tSOxsZGqTaur69Hc3Mz2tvbO/gOvMq3z0XrPbwxymvjqqoqlJWVgTGGsrIy1NTUYMGCBZg2bRrq6+uxcOFCTJs2bZ+5W1dXJ9UeuuGsd2trq5J5KoPINQvG2JEAagEcBiAHYDYR/ZEx1hPAAwAGAlgL4HtEtIUxxgD8EcDXAewCcDERvaSDNnuHNDc3Y+LEiSAiLvduampCKpVCLpdDKpVCU1NTaBritE2qdKLZy8pkMsVjRXVIQl4Obvu7dPmCeOWK+Cm8ziRRAR2O0SBaQkVFBXK5HIC876CiosLzfjdhw+pft/rw5o2ldbj9bqGyshIVFRVYunRp8TfrrJGkwDmf7JpFZOe38OxTui4AfQGcUvh8IIC3AZwI4EYAkwu/TwZwQ+Hz1wHMB8AAnA5gid87gvosZEMw4/YvyELEzsm7RyR/FK+ssCGbMnTz3qWrr3jlirwvql3Kqu3bQdKVT5gwoTifUqmU7xiwt40zU0LQExX9UFNTU3I+C9V5w5DkfRYAHgXwNQBvAehLexnKW4XPswD8p+3+4n28K4yD294JIo5B3kTU5YwKuuEuzKAKe4yjyg1WQRfdqNOriLwvzJkkcUK0P8MyQ9X7Q/zeVUqCnwXV49qLWcTq4GaMDQQwDMASAH2IaD0AENF6xljvwm39AHxge+zDwm/rHWVVA6gGgP79+yuhjwQcg26OTmdsu/3oxjBmEVn1334/Ywy5XA65XE7ayeq039bV1Uk5/8KY1kQclyLhobri1HnlirzPfk86nQYRoa2tDZlMJnGhm3ZUVlZi5syZxWM9RdKVA/Jhu9bcamxsLB6F6mxLEROg3xypD7jPIgmIdP8Fj4vovgB0B7AcwHcK37c6/r+l8PcJAGfZfl8A4FSvslWYoezZZWU5tojEGESSCZMk0J4AMWrNIgxkNQs/STfK9Coy5rNZs2ZFno46KNzaWyac1fpf2JQ0YUyAzvt0mQGjCB9X+Q4kzQwFIAvgKQC/tP0WuxlK1eKqyywiy2Cc98vaeu2DMIjPQhXC+FpUvkMnkpL91wm3dnHSOmHCBCmmoMrkE8YEyKuHyjFQiqatRDEL5B3VtQBmOn7/PTo6uG8sfP4GOjq4l/q9Q4VmEdaR5uezCDqQVEhkIveobIuko6FB/8Y1v35IYnuLSu6yPgVVjFGlZpGUA4/iRtKYxVkFc8YrAFYWrq8DqCiYmFYX/vakvczlzwDeAbAKwHC/d6hwcOtavFU9qwq8hTKOTK6yUKVxBNmJL9N3smayqE/G48FrsXMKQ2E03jD1C2MClLkvKG1J6EcZJIpZRHHpOFbVDWEHQxKYBW+htNctikyuslDpy5BlFrL9HsbXFGd7y2g7PDNl2MU8DO1xzy0VdERdD8MsNCHMpI5K6vAbbF4LZVIkXRG7uV9oqlf/NDTInXUs2+9xSt5hITIGgpiDkiLRJ4WpuCGOcWCYhSaE6Uyd0qN9gvvZ4p0LJU96jGtShbFLq5CMZWjye0amXVW2t4qyvMarrKM5Kb6CKHxVYRCHhmmYhUYEnYi6Joy9XGug+ZlXkqJBuMFrwogs8GEkYy+oWICjkBxVvcNPS5Bh6KKLYNAIPFEmoCNrtEokTbMwWWdDIugBKLpyQDk3QtnxySefFD87Ny1VVlZixowZiduYxNt01NjYWMwBtXjxYgwZMsSVVpG6iWYsdSs3DIK8N653OMcrgA75iHh5mdx+F9lINnv2bFxyySUAgKeffhoApDaC5te9eDPthkUizrCwg8dFSvmKUrPgIQlmG55mEca0EweC+iycZajULFQgSZqFbjOc7PtGjx7dYeyOHj1auGy/sWHXNktlI2RUgDFDBYPIgu92T9yLrt9kEA2JTDKC2Ju96hYnc3fbjxOlz0J2h35YW7rI/AiTNUBGMKipqVG+2bRU5pAbDLMIgCAOVFmbbBRwW4D87PelMNAbGhoom80SAMpms4mn1w/2saQzA60bZKX4sMKQbp+FRaPbOJ4+fXqH7Leq9w+pFhSjno9ezML4LDiQTWBnvyfS5F4+sCdjsychnDlzJpqamoROIUsSLF/L0qVL0draCgBobW1FbW1t4miVgX0sWec+EFEkvqOxY8cW/QLWdy+EtaWLzo/q6urAp9XxfErOczWshTBIO7slKxT1EXklOrT+53U2SxwwzIID2ayhzkNIonBMiWTW5GXVbGpqwpQpUzrcG4XDNQzszExH2XE6Ep0ZaO2ZinULG9aCbGWRFVmgwzj4VTpuZfvNfmAZYwyZTAa5XE44m639/26Clci64SWUqcoUrQU8laOUrzh8FlGHncqayURMG3H7WvzgTEGSTqddnZOyqntS6i3qsygVU6Fu+PkmePtX/PbeiIyHMH4/0T0rYZKZBgWMGSoYRKQnVWGnshKSlxbgpk0A/ucJJC5UzwGn1KbKlFZfOB86l8sVz4dWUXfZPnWONxmJVhdkz4WIctzw5oCfydXviFuRsy28NAi/dcPrWZEx7gWt/cDjIqV8xbEpL4xmEUSyFQl/jdpRGgXCSG086DivQ7RPZSOgogyeEJXcg0Sm6aQvSBJM57zJZrOBT8kUpV0km0DU1g0YzSIY7FwawD6fnQ4ouxQAQPgQ9SC+Ap6EZC8LkD+dLOkII7XxYLdjp1IpNDU1haZTpE9FT1QMWz/VdXBK7ueccw6am5sBAM3NzbjxxhsxYsQI7WNOZNNfKpUqBg14zS17XYkIjDEAeWF61apVrtJ6WL8NT3O01pTnnnsORIT29nbumIjSx2GYBQe8iWz/7Owcy2ksayoIugC4DThnWcOGDVOy+JUK/HYau2HkyJEoLy9XsgDbI1n8+tS+QIlGQEVpKuSNSycTeeuttzo899hjj+Hxxx+PxEzmNgfsbeQU6Hh968ZgiPLH3E6cOBFEFKg+YczLImPCfn8qlSquT1oECZ7KUcqXCjOUXZW1H41q/8xzQAUxFejYhNUZ9lOEgYx5T0V7iDhPnfdb5ptsNhvaZKijT93KdJqdxowZ08GMZ11BN+xFUQev++zzJkx6/rDm5fLyciorK1OWLFMEMGYoefBCGZ3mAjcHVBBNQUWuIWdZPKd7Keyn4EFGUpMx7+nI9eQWnmyvQ0VFBfLzE2CM4ZZbbpFyZjrLjLJPLbqJCOeddx7mzZuH1tZWpNNppNPpQGG/uuog2rf2+4YMGSKlmbhBhXnZKicJQSmGWXDg1Wn2z27RFCMd+yxWrVqFa6+9VjiGXRVGjhxZjCPPZDJcM4Jq26YKuDGFqMx7QekTeZ+bjZkKdmkecxGBjj7ltXd9fX3RTGPRfeuttxb3aVgLreziFce45AkfboxDtj5e42H27NlC+1pkIjK1g6dylPIVRyJBnsoZNtImTLx9Q4P7oT5BInWihFeUiz1VQ1jzXtD6BYnvt6Arjl7lXhGrDryztd1MH7rToKuEyugh0XfZy/ZaE8K2Qdg5C5MbSh/8JlaY7Jl+i5LOjUNRTVw38OhWGeIapn5hwldV25idZav0u3iFXtvfpTKcV7fPwl6/TCbD9UfoFJS81gSZg5t0JDD1YhbGDBUCzoipTCbfnHaVUzbvjh1earmIyu6lBvuprnGaqnh0Bwlx5ZkZwtQvjHlL1MYcZHOVar8LwA+9dr5LlblPtUnFaUq76KKLfKOHdPt/nGvC0KFDixF7sqZMp3lQ65zlcZFSvuI6g3vChAmu0ojMiW6ikoJuU1KcmgWRe5t5SeW62o8HnZJn1FFcQd8tQkdcpkwLbnPUT7OLIoW/Nb5ramr2aW8ZU6aXeVC1ZhH7wq7jiusMbr/Fy6sc3g5YHTZ3UYRJER0GIu1htzfzzCV+Kn3cCxkPMqYIHQxdVbvELXDwaAhqgtVRn6B+OF0h8YZZaITM4sVDEs8CjmOiW23pjNt3aw/ePhjVklYcEKU7SeemuCEp9AVZQN2e0VGfoH44XZqcF7MwPouQcNvTEPY8gk8++UQ4VYguROWzcMvdLwLnPhii/G5be4hw3IkRgyZ1c6M7aKhunIiTPrcz5mUgkh1BRX2Cpppxo0/7XhseFynlK+7QWadmIbKT1wpxzWazvrs2ZekK6rPQnRyOF5nilX7c+byl1SXtLGWVWo1Os4MqJMlnoaLto6qPynGiQvOB0Sz0g7eJT+S0KyuSob6QHvmOO+5QItGLnI7nhfzY2ftX5H0ykrRde3FGpojQatfq7JvEkrDJ0KmZ1dbWBtZwvLS8yDZkecBLoo2DvqBascgJdarro1L71a7J8bhIKV9xaBY8yHJ71ZJG0POGRSO9wtDtFSAggyT6Juw0ieT4ES0rKfWzIym+CQtBoslmzZpV1KTT6XTgfFBxw/gsEoCg9mdeyg0egkoabvQ5zxu2Pnsd8GOXriy6U6kU5syZ45kqOYg0x9PGnPWxfue1R9y+CTfYafLSFnnjyvn7zJkzi+khklA/O5LmO5HZy2I/ptfaW9Le3l7McRVHfcIcYKRVk+NxkVK+VGsWQaXmqOzpPPrsmoXzcou6cPpdrANgRCStsNKvUxK33h3WhxOFzVx1KKabxpXkEFlnWUnxo/jBrhE5rzFjxiQq1U1UgNEswkFWavZKFqfDns6jb6TtnIZUKoW2tjYQETfqor5+7/Gi9oguIvLNkx9WurfXwWovAGhtbQVjDETykWVRZGJtbGzEqFGjiu9wyxzLaxtevzl/r6uriyxJYFBYEq2zPRYuXBi7JsST1O0aUSaTQXt7O9rb25HNZlFTUxML3fY5KGIBiFKTNsxCALJqtpfjVodK66SvoqKiGHorcwiM3WxFRMhms8jlctIO57B1APaaBAAglUoBQCQpomVRW1vb4ZS4yy67rEirn2OUN66cv48dOxaLFy9WauYJ0jYiC5SzPWpra2NlFn7Od5l04FHAaTquqKjY5564jhgoGWbBGDsXwB8BpAHcSUT/E9W7ZaVm52SXjUIKQ59bJIc97bWX3dsZ8z1+/HjtR7K6pXWvqKjAFVdcgdbWVmSzWdx6662B2i8OW7rF5EQWYN64cvvdniYbED+ylwfZtinVM1D8mKKTieuskwizFdl3EYUQ5AqefSpJF/IM4h0ARwMoA/AygBN59ychGiouu22YvDFR20uj2D+gux/se2QymUzo0+5E3qc6FblIGTIpSJK05yVuH4AsHXHPU5R6ug8AlQCesn2fAmAK7/4kMIu44OXsDpr6WBeSFnIZFFE6d+NqsyDhqHEzCgtJoEem30To1VWnzsAs/gN505P1/UIAf3LcUw1gGYBl/fv3V9qApQa3gZQUCcuOJNKUdMTZZklYdEsVpTLWvZgFy/8/2WCMfRfAOUT0k8L3CwGMIKIr3O4fPnw4LVu2LEoSSwJxRFD4IYk0JR2mzUoTpdBvjLHlRDTc9X8lwiwqAVxLROcUvk8BACKa4Xa/YRYGBgYG8vBiFqmoiQmIfwMYzBg7ijFWBuACAI/FTJOBgYHBfoOSCJ0lojbG2OUAnkI+MmoOEb0WM1kGBgYG+w1KglkAABHNAzAvbjoMDAwM9keUihnKwMDAwCBGGGZhYGBgYOALwywMDAwMDHxREqGzsmCMbQLwfogiegH4VBE5pYL9sc7A/llvU+f9B7L1HkBEh7r9o1Myi7BgjC3jxRp3VuyPdQb2z3qbOu8/UFlvY4YyMDAwMPCFYRYGBgYGBr4wzMIds+MmIAbsj3UG9s96mzrvP1BWb+OzMDAwMDDwhdEsDAwMDAx8YZiFgYGBgYEvDLOwgTF2LmPsLcbYGsbY5Ljp0QHG2JGMsYWMsTcYY68xxn5e+L0nY+wZxtjqwt9D4qZVBxhjacbYCsbY3ML3oxhjSwr1fqCQ1bjTgDHWgzH2EGPszUKfV+4Pfc0Y+0VhfL/KGLufMdalM/Y1Y2wOY2wjY+xV22+u/cvyuKWwvr3CGDtF5l2GWRTAGEsD+DOA8wCcCOA/GWMnxkuVFrQB+BURnQDgdAATC/WcDGABEQ0GsKDwvTPi5wDesH2/AcDNhXpvATA+Fqr04Y8AniSi4wGcjHzdO3VfM8b6AfgZgOFEdBLymaovQOfs678CONfxG69/zwMwuHBVA7hN5kWGWezFCABriOhdImoB8HcA58dMk3IQ0XoieqnweQfyi0c/5Ot6T+G2ewCMiYdCfWCMHQHgGwDuLHxnAL4M4KHCLZ2q3oyxgwCcDeAuACCiFiLaiv2gr5HPqN2VMZYB0A3AenTCviaiRQA2O37m9e/5AGoLJ6i+CKAHY6yv6LsMs9iLfgA+sH3/sPBbpwVjbCCAYQCWAOhDROuBPEMB0Ds+yrRhJoAaALnC9woAW4morfC9s/X50QA2Abi7YHq7kzF2ADp5XxPRRwD+AGAd8kxiG4Dl6Nx9bQevf0OtcYZZ7AVz+a3TxhUzxroDqANwJRFtj5se3WCMfRPARiJabv/Z5dbO1OcZAKcAuI2IhgHYiU5mcnJDwUZ/PoCjABwO4ADkTTBOdKa+FkGo8W6YxV58COBI2/cjAHwcEy1awRjLIs8o/kZE/yz8vMFSSQt/N8ZFnyacCeDbjLG1yJsYv4y8ptGjYKoAOl+ffwjgQyJaUvj+EPLMo7P39VcBvEdEm4ioFcA/AZyBzt3XdvD6N9QaZ5jFXuwX53wX7PR3AXiDiG6y/esxABcVPl8E4NGoadMJIppCREcQ0UDk+/ZZIhoHYCGA/yjc1qnqTUSfAPiAMXZc4aevAHgdnbyvkTc/nc4Y61YY71a9O21fO8Dr38cAVBWiok4HsM0yV4nA7OC2gTH2deSlTeuc7+tjJkk5GGNnAVgMYBX22u6vQt5v8SCA/shPtu8SkdNx1inAGBsJ4L+I6JuMsaOR1zR6AlgB4IdE1BwnfSrBGBuKvEO/DMC7AH6EvJDYqfuaMfbfAL6PfPTfCgA/Qd4+36n6mjF2P4CRyKci3wDgGgCPwKV/C4zzT8hHT+0C8CMiWib8LsMsDAwMDAz8YMxQBgYGBga+MMzCwMDAwMAXhlkYGBgYGPjCMAsDAwMDA18YZmFgYGBg4AvDLAwMXFDI1npZ4fPhjLGH/J6RKPtKxliVgnL+zhgbrIImAwM/mNBZAwMXFPJmzS1kLVVZbgbASwBOseUpClrWl5DfK/BTJcQZGHjAaBYGBu74HwCDGGMrGWP/sM4LYIxdzBh7hDH2OGPsPcbY5YyxXxYS9b3IGOtZuG8QY+xJxthyxthixtjxhXK/DOAli1EwxuoZYzczxhYVzpv4AmPsn4WzCH5XuOcAxtgTjLGXC+czfL9Q1mIAX7WlsDAw0AbDLAwM3DEZwDtENBTArx3/OwnAD5BPa389gF2FRH2NACzz0mwAVxDRqQD+C8BfCr+fiXwGVDtaiOhsALcjn5phYuEdFzPGKpDfcfsxEZ1c0HSeBAAiygFYg/w5FQYGWmGYhYGBPBYS0Q4i2oR8+uvHC7+vAjCwkNH3DAD/YIytBDALgHVuQF/k04bb8Zjt+dcKZ440I5+e48jC719ljN3AGPsiEW2zPbsR+cyqBgZaYdRXAwN52PMJ5Wzfc8jPqRTyZycMdXl2N4AunPLsZRXLI6K3GWOnAvg6gBmMsaeJ6LrCPV0KZRoYaIXRLAwM3LEDwIFBHiycD/IeY+y7QPHsY8tU9AaAY2TKY4wdjryp6z7kD/Wxn518LIDXgtBpYCADo1kYGLiAiJoYYy8UHNtv+D6wL8YBuI0xdjWALPLZTl8GMB/AvZJlDQHwe8ZYDkArgEsBgDHWB8BumTTTBgZBYUJnDQwiBmPsYQA1RLQ6ZDm/ALCdiO5SQ5mBAR/GDGVgED0mY6/DOwy2ArhHQTkGBr4wmoWBgYGBgS+MZmFgYGBg4AvDLAwMDAwMfGGYhYGBgYGBLwyzMDAwMDDwhWEWBgYGBga++P9U+6SCKTO6/wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in np.arange(0,z.shape[0]):\n",
    "    plt.plot(simSpks[i],np.ones((simSpks[i].shape[0]))*i,'k.')\n",
    "plt.plot(10*A*np.sin((2 * np.pi * f * t)+P)+500)\n",
    "plt.xlabel('time(ms)')\n",
    "plt.ylabel('node ID')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
