~Calibration_notebook.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "### Calibration Notebook ###\n",
    "# implements a multi-positional minimisation calibration procedure to calibrate a 6 axis MEMEs IMU. \n",
    "# as input it requires  data set collected by moving the sensor between a number of distinct stationary positions. \n",
    "# takes a data table of the form |t|ax|ay|az|vl|vm|vn|\n",
    "# outputs calibration coefficients for the accelerometer see section 3.2.4 of AO35 and:\n",
    "# D. Tedaldi, A. Pretto, and E. Menegatti, A robust and easy to implement method for imu calibration without external equipments, 2014."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "### Imports required libaraies ###\n",
    "\n",
    "import numpy as np\n",
    "from quaternion import Quaternion\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import statistics as stats\n",
    "import scipy.optimize as opt\n",
    "import Functions as func\n",
    "import warnings"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "### analyses random noises present in sensor readings and finds the allan variance ###\n",
    "\n",
    "noise_data=[] # import data\n",
    "with open(\"xxxxxx.csv\") as file: # opens data file (replace xxxxx with file name)\n",
    "    noise_data = pd.read_csv(file, delimiter=',',skiprows=[2])\n",
    "    \n",
    "leng=noise_data.shape[0] # finds length of data table\n",
    "\n",
    "allan_tab=pd.DataFrame(index=range(allan_leng),columns=range(4)) # generates new dataframe\n",
    "allan_tab.columns=[\"dt\",\"Sigma_a\",\"Sigma_g\",\"n_pos\"] # lables collums of ddata table\n",
    "\n",
    "for row in range(0,allan_leng):\n",
    "    allan_tab.loc[row,\"dt\"]=10**((row-100)*0.01) # populates table with time differences\n",
    "    rows=100*allan_tab.loc[row,\"dt\"] # converts wait time into number of rows from data table\n",
    "    n_pos=int(leng/rows) # calculates number of time periods present in data set\n",
    "    #if n_pos>50:  # limits number of positions for performance benefits. uncomment if code is too slow\n",
    "    #    n_pos=50\n",
    "    allan_tab.loc[row,\"n_pos\"]=n_pos # saves number of positions used\n",
    "    allan_a=0\n",
    "    allan_g=0\n",
    "    for c in range(1,n_pos+1): # loop to calculate allan variance\n",
    "        allan_a=allan_a+(1/(2*n_pos))*(stats.mean(noise_data.loc[(c-1)*rows:c*rows,\"ax\"])-stats.mean(noise_data.loc[(c)*rows:(c+1)*rows,\"ax\"]))**2\n",
    "        allan_g=allan_g+(1/(2*n_pos))*(stats.mean(noise_data.loc[(c-1)*rows:c*rows,\"vl\"])-stats.mean(noise_data.loc[(c)*rows:(c+1)*rows,\"vl\"]))**2\n",
    "    allan_tab.loc[row,\"Sigma_a\"]=allan_a # saves values into table\n",
    "    allan_tab.loc[row,\"Sigma_g\"]=allan_g\n",
    "    \n",
    "allan_tab.to_csv('allan_calibrated.csv', index=False) # writes data frame toa csv file"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1008x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "### plots the alan variance for the gyroscope and the accelerometer ### \n",
    "\n",
    "allan_data=[] # opens data file\n",
    "with open(\"allan_calibrated.csv\") as file:\n",
    "    allan_data = pd.read_csv(file, delimiter=',',skiprows=[2])\n",
    "    \n",
    "    \n",
    "plt.figure(1,figsize=(14, 4)) # side by side plots of of allan variances\n",
    "\n",
    "plt.subplot(121)\n",
    "plt.yscale('log')\n",
    "plt.xscale('log')\n",
    "plt.plot(allan_data.iloc[:,0],allan_data.iloc[:,1],label=r'$accelerometer\\  [m/s^2]$', color='tab:blue')\n",
    "#plt.plot(allan_tab[:,0],allan_tab[:,2],label=r'$gyroscope\\  [deg/s]$')\n",
    "plt.xlabel(\"time [s]\")\n",
    "plt.ylabel(\"allan Varaince\")\n",
    "plt.legend()\n",
    "\n",
    "plt.subplot(122)\n",
    "plt.yscale('log')\n",
    "plt.xscale('log')\n",
    "#plt.plot(allan_tab[:,0],allan_tab[:,1],label=r'$accelerometer\\  [m/s^2]$')\n",
    "plt.plot(allan_data.iloc[:,0],allan_data.iloc[:,2],label=r'$gyroscope\\  [deg/s]$', color='tab:orange')\n",
    "plt.xlabel(\"time [s]\")\n",
    "plt.ylabel(\"allan Varaince\")\n",
    "plt.legend()\n",
    "plt.show\n",
    "\n",
    "\n",
    "plt.figure(3) # plots number of positions for reference\n",
    "plt.xscale('log')\n",
    "plt.plot(allan_data.iloc[:,0],allan_data.iloc[:,3],label=r'$blocks\\ averaged\\ over\\ $')\n",
    "#plt.plot(allan_tab[:,0],allan_tab[:,2],label=r'$gyroscope\\  [deg/s]$')\n",
    "plt.xlabel(\"time [s]\")\n",
    "plt.ylabel(\"number\")\n",
    "plt.legend()\n",
    "plt.show\n",
    "    \n",
    "ropt=1000\n",
    "\n",
    "fig, ax1 = plt.subplots() # produces a plot of gyrosopce and accelermeter overlaid on each other\n",
    "\n",
    "color = 'tab:blue'\n",
    "ax1.set_yscale('log')\n",
    "ax1.set_xscale('log')\n",
    "ax1.set_xlabel('time [s]')\n",
    "ax1.set_ylabel(r'$accelerometer\\  allan\\  variance\\  [m/s^2]$')\n",
    "ax1.plot(allan_data.iloc[:,0],allan_data.iloc[:,1],label=r'$accelerometer$', color=color)\n",
    "\n",
    "\n",
    "ax2 = ax1.twinx()  # produce a second axes that shares the same x-axis\n",
    "\n",
    "color = 'tab:orange'\n",
    "ax2.set_yscale('log')\n",
    "ax2.set_xscale('log')\n",
    "ax2.set_ylabel(r'$gyroscope\\  allan\\  variance\\  [deg/s]$') \n",
    "ax2.plot(allan_data.iloc[:,0],allan_data.iloc[:,2],label=r'$gyroscope$', color=color)\n",
    "\n",
    "fig.tight_layout()\n",
    "h1, l1 = ax1.get_legend_handles_labels()\n",
    "h2, l2 = ax2.get_legend_handles_labels()\n",
    "ax1.legend(h1+h2, l1+l2, loc=\"upper right\")\n",
    "plt.title(\"Allan variance of LSM6SD3\")\n",
    "#fig.savefig(fname=\"allan.png\",bbox_inches='tight',pad_inches=0.1) # uncomment this line to ssve the figure\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1\n",
      "1.3603573024756697e-09\n",
      "[[0. 0. 0. 0. 0.]]\n",
      "29\n",
      "`xtol` termination condition is satisfied.\n",
      "Number of iterations: 845, function evaluations: 10770, CG iterations: 1800, optimality: 2.34e-04, constraint violation: 0.00e+00, execution time: 1.3e+01 s.\n",
      "2\n",
      "2.7207146049513394e-09\n",
      "[[0. 0. 0. 0. 0.]]\n",
      "31\n",
      "`xtol` termination condition is satisfied.\n",
      "Number of iterations: 789, function evaluations: 10040, CG iterations: 2221, optimality: 6.19e-05, constraint violation: 0.00e+00, execution time: 1.4e+01 s.\n",
      "3\n",
      "4.081071907427009e-09\n",
      "[[0. 0. 0. 0. 0.]]\n",
      "31\n",
      "`xtol` termination condition is satisfied.\n",
      "Number of iterations: 799, function evaluations: 10320, CG iterations: 2242, optimality: 9.91e-05, constraint violation: 0.00e+00, execution time: 1.5e+01 s.\n",
      "4\n",
      "5.441429209902679e-09\n",
      "[[0. 0. 0. 0. 0.]]\n",
      "31\n",
      "`xtol` termination condition is satisfied.\n",
      "Number of iterations: 762, function evaluations: 9040, CG iterations: 2511, optimality: 1.18e-05, constraint violation: 0.00e+00, execution time: 1.1e+01 s.\n",
      "5\n",
      "6.8017865123783485e-09\n",
      "[[0. 0. 0. 0. 0.]]\n",
      "33\n",
      "`xtol` termination condition is satisfied.\n",
      "Number of iterations: 960, function evaluations: 12840, CG iterations: 2515, optimality: 3.94e-04, constraint violation: 0.00e+00, execution time: 1.8e+01 s.\n",
      "6\n",
      "8.162143814854018e-09\n",
      "[[0. 0. 0. 0. 0.]]\n",
      "33\n",
      "`xtol` termination condition is satisfied.\n",
      "Number of iterations: 885, function evaluations: 11370, CG iterations: 2182, optimality: 9.45e-05, constraint violation: 0.00e+00, execution time: 1.6e+01 s.\n",
      "7\n",
      "9.522501117329689e-09\n",
      "[[0. 0. 0. 0. 0.]]\n",
      "33\n",
      "`xtol` termination condition is satisfied.\n",
      "Number of iterations: 869, function evaluations: 11100, CG iterations: 2113, optimality: 2.73e-04, constraint violation: 0.00e+00, execution time: 1.6e+01 s.\n",
      "8\n",
      "1.0882858419805358e-08\n",
      "[[0. 0. 0. 0. 0.]]\n",
      "36\n",
      "`xtol` termination condition is satisfied.\n",
      "Number of iterations: 789, function evaluations: 9490, CG iterations: 1926, optimality: 3.13e-05, constraint violation: 0.00e+00, execution time: 1.5e+01 s.\n",
      "9\n",
      "1.2243215722281026e-08\n",
      "[[0. 0. 0. 0. 0.]]\n",
      "32\n",
      "`xtol` termination condition is satisfied.\n",
      "Number of iterations: 822, function evaluations: 10600, CG iterations: 1659, optimality: 3.90e-04, constraint violation: 0.00e+00, execution time: 1.3e+01 s.\n",
      "10\n",
      "1.3603573024756697e-08\n",
      "[[0. 0. 0. 0. 0.]]\n",
      "32\n",
      "`xtol` termination condition is satisfied.\n",
      "Number of iterations: 833, function evaluations: 10330, CG iterations: 1921, optimality: 9.98e-05, constraint violation: 0.00e+00, execution time: 1.4e+01 s.\n",
      "[[ 6.06189539e-03 -6.06800869e-03 -4.70912333e-03  9.77219197e+00\n",
      "   9.82730117e+00  9.82109558e+00 -9.76925489e-03 -5.73218466e-04\n",
      "  -1.28346114e-02  2.33622498e-04]\n",
      " [ 6.10902535e-03 -5.86657309e-03 -4.94500975e-03  9.77277724e+00\n",
      "   9.82845749e+00  9.81428642e+00 -9.78315234e-03 -5.31040598e-04\n",
      "  -1.33777224e-02  6.19102427e-05]\n",
      " [ 6.06995590e-03 -5.96664899e-03 -4.79114164e-03  9.77245743e+00\n",
      "   9.82797931e+00  9.81712144e+00 -9.77165366e-03 -5.71523993e-04\n",
      "  -1.31520835e-02  9.91050238e-05]\n",
      " [ 6.07968961e-03 -6.08180683e-03 -4.73730606e-03  9.77237425e+00\n",
      "   9.82735452e+00  9.82032403e+00 -9.77275041e-03 -5.86021520e-04\n",
      "  -1.28942850e-02  1.17659289e-05]\n",
      " [ 6.11750803e-03 -6.20916786e-03 -4.76879001e-03  9.77228161e+00\n",
      "   9.82697954e+00  9.82322834e+00 -9.78756771e-03 -5.64120155e-04\n",
      "  -1.26594189e-02  3.94123533e-04]\n",
      " [ 6.11313354e-03 -5.96959173e-03 -4.81606284e-03  9.77248260e+00\n",
      "   9.82783799e+00  9.81824570e+00 -9.77800867e-03 -5.43479760e-04\n",
      "  -1.30635362e-02  9.44795994e-05]\n",
      " [ 6.12629779e-03 -6.03628348e-03 -4.82284942e-03  9.77249890e+00\n",
      "   9.82753265e+00  9.81967339e+00 -9.78013182e-03 -5.35133009e-04\n",
      "  -1.29484493e-02  2.73456662e-04]\n",
      " [ 5.20537769e-03 -6.09392510e-03 -2.25411254e-03  9.77221046e+00\n",
      "   9.83220465e+00  9.82278514e+00 -9.86346682e-03 -1.31363147e-03\n",
      "  -1.24908591e-02  3.12866752e-05]\n",
      " [ 6.09140910e-03 -6.02645648e-03 -4.76070933e-03  9.77253757e+00\n",
      "   9.82745872e+00  9.81958656e+00 -9.78230219e-03 -5.53947033e-04\n",
      "  -1.29556767e-02  3.90239122e-04]\n",
      " [ 6.08032845e-03 -6.04269967e-03 -4.73899395e-03  9.77255708e+00\n",
      "   9.82729876e+00  9.81958972e+00 -9.78688601e-03 -5.66163490e-04\n",
      "  -1.29535798e-02  9.97986679e-05]]\n"
     ]
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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s2UbVG2/w/177motufJq6OXMAkr/l999TPW0aTevWUztjJlpjo7UvXrGDqtffQMb0BuZuh/WLFvH5c7pL5/77XqR+7jzmbKhh0eoyamfNIlYTpqkyQu2WAqQGIVFPqGEDIVlFSFZTvy2f2i35ltxbws5e6TkzNHZfJRmyTW8vu/Xdrdm/STrabc1OKeXDwMMAkydPbnkohZQUH3YoA//wh2yJ1mFUvPoqm667Ptk1k5LiAw6g9yWX8P3xJyQPXPIWedEIvXptZhOlgIDl78GmvhSO3YP+l5zAyovnISRWWaUnn0xs40bEBy9bcQIH/+sFooN182zhQfsjpG61RGyuv19MupR7lieT+kupEenfn7yhQ1m86hOKx/6R/bYeQvfIYM5/9zUAvj/pZAaKfPIjISTQfepU+l19lX6NL7/CphtuAKSVimLgHXeQP2qkVUf5I4+y9c9/Tnu/7j3sXq76+CqrnIMHH8TV5z/Ank/tCcCVe12py4wkb8QIBtxwPavP+RFIaQ2W9r/+Oor21I9fffY5+v0y9vU871x6nXceVe+9z4bf/EavR0oiffow7JHkpJWm9RtYeeSRaaOGzf1jT/0J25/QvY6jSkcBKxhw8+/JGzKYZfvt7/j9S448kgE33qDfO5/2AdD3iisomrwXy/bZ1yF/74t/RunJJ1v1Lz/kUJDe3k969PKGPvQQK48/ASklFz6mu+vO7CsR0ah1P6SULBk/wXaqfu5/djmBhX1HA/D8WzfTB70XUZioBnpmLMf8vmO5d9dzOGP5dH62eQN63Itex4DbbqVg550BrN/ZlL3PZb+k+9FHA7Dt4X9Tdu+9XP7UXHYa3JufGzIOuutO8oYPZ9m++zG6JE4+TdZvdtfeP2bn7Wu49fPHkDIZ/d5v9yq69Xda3ov/N8jx/dHS7o7vI4uGEmcd+wzYm++YRySUfbWbc1Er+uBd559ungnWJB3Hgyos94Jjc3E/GHO0t5ANX8KrlyXLtH8QgERX8HqF1nEFkQLfu3j2uLO5aq+rrO9SSqMsYZVTFA07XSBCkBcRbKtp1IV17bMuwrwgd8XGMZacPsw4ewZHDT+KYSXDrNNHl44mGo5ax1gDvaYMjrqtypz1OuQSrkMMxeBy91iHBcj7+imvJ08HECHr+NJo92QdVrm2H9ohnqt9ID3nSj/5bYKmuqeB2MsTwpG/ak15raMeYf12ZnI2naL8CPuN6mVILfD+6D7c7PQdC6BHtzwe++ne/PKw0Y7yLfkcnwPuhfHxw8Vb+cf0FT6/t2Dslre5J/qg9ZKYPKIXY/qXJMsw78FP34JbK53/XPc9EXCphww6BEiuSZtNck6R63q8ayhy/BS5sDX6oj4w8hDY+QQo6Q8TTnIcjgSG7oM45ym9OHMb8MCCf/LyileCG37I+YCaRENRLtz1Qut7faxOz9MiktlaGprinocoIgT1sYSPIjdlTVpLnlmmpjLwimPRq0BXCq+e8irHDj/GVmaSuGZMKDLbiFHuZR9cxvb6cqc8Vr3Jh1/YHmyzfOm+Hvv+AEaWjmRMzzG2l2ry+gojhcm6fH5/4VFOzv3WdmsfKRW5pPmx9dJRD477/M7CjTTENUZc95b1z7w2gGd/rkfGPHbhPvzvkv1Zfffx9OyWl1kyw3AURhxsfR1UWsCREwYwZed+9CjSfetCSuulcez9sywZ5q7Zwezl27jt9UWG6N6XTUgmOD00E5lIJK/Pumg4NLyQ207cBYB//WQyvztOt/bLZQk7+hkRP34/vRCOpui+4+aTs7ZqLQCfbfwsg5vRPLIVfvgs8BkwTgixXgjxs2yU64vfg5WruB5UaVp/5uUl4tBzhPdBPeu/cP5L0G8CoqQ/DNR9bkJ625mwW+TufX4bXcpx5roZtgda31ZaEPX8BhEBsYRMbVUGKRyrbv/NdqKhKCHXfRvQbQBgyw3ussiFhE01G72FCeG0aD3ySH/DIYMeREREvD0hCUOKBzu3YVOcZo/MTw7bX2F/2dvcRp5zhUBqLZgk5f6dpGT8wO7WNUjX/dAQCCQH7NQ7wCL2nZjv5GI9NI+iXk45zGKM8kb2LvKd5i+FQEjJF9/7TMoxzj0v/CH35D0Ey97zyGjdefdLHQhJjVikm2e7g4Ie1sfqkL9aHdF9OAB79d/Ld39ryIoil1L+SEo5UEoZlVIOkVI+ko1yAyprs6I7iuSD7NoRa9CTCLlfXgMnwegjkyfYrQ9j0+V7/IrTx56ub7N22o4joNvtc39XV61m1vrZVjkRd6sRgrC5LaVSTP1GyfT1nFRc+t+HjnwIgKcWP+UrgwDWVK42RHXVIl0WqP2YVDL7yBsSIV49Wc+xfc9h97DfgP3040JJi3xbnW2g325V4/35He4Tn+tKyhgoYstm9tpOEejup3hCY+rEAVx6yCgKo2FW33289S8k4IrDR/PMz/dr+fM5xEe5+ZT18mUHcM3RYwF498pDLBn2HtELkMm26aNwb4w8o3/47jXnDuPYYupwXry+PYxGQqZQlfa6DvwttQGKfFzPscw8eyaHDT0suKwWkoOuFR+zM2cxLmTmX/SZY1LTXRhmw0g0QkH35DW7LXiXT92umHXlYShrt2Xo/mzHKNt0ZViGuK2jIGyimxvCdtl86pF2y9Hjc05v4TplNKvSP/Qr6mft+r7ye1sbSdbzprnakFs2P/+52//s6eY4FbDJB2d8wE499DjjoSVDOXK4sQSczUc+c92MZBmBrjWXPK7r1duI/WYEuVZgVOlIoJlWoMeFI6mPJSiIhP17xOZ9dMno3J+ivjybL3rY/k45XO6uaEgwqo+PdSwgPxwiofndC+P39FRssyAs28B+j5OKXDNVpd9zY+8h7fFjZhUV+l+nhJ4FmQ70No8cVeRdRJOb1/H1//S/muZS2MC25brv1K5J7Ra83YWAXRnq221NzPEpcCDMKPvCXfSMiELCyB6jOGTIIY7G7vBBIgj7uVPs1xj0QvH7ng5XDyYaSg54PrjgQSoadlh+ffMafOsSZlmuh9/lf/bkcvfx6V+111X0LerrL6fNQjto8EG2MtIocuuzy2R3vwQCBpEFgvyQ7lse3WM0GeNS5FJKGmIaBXmpFLlT1IyMBoMdByQH6wkn48wltnZmb/s+LwuBoEdhxPKfu9u6H+LDW2DaLWCbUSw9LzEIS0lCutqGoyD7iypl9yh4XyvJSUWei6vd+GJeRtiIQdUSjgYkAcqWWL5z3ygX2/HdExr75/U3yhZWAxM+bdtU8m7MhrxoY4XjWOfxLl+uMBS5r6/WpowCfeTNtcidrga7In939bss3r6EBdu+5uy3zrZK94vcMd0GXkVov89+hoNT3qJIkWOAOCmn8TdkWnYhCkIFydqF68CUA8X2Am1txCa/3yCy+Xt2i3bzyheIrTyjDTXaLHJPu7FZ5L5tQAgqw73cZ1kk9vyJp+7kR5GUxSg/yOoviIR8/eeeHpSplBe9DJ/cD/F6/xeRcV6IBAktWJGLpJhplHXbKfJ2iyPPFkYT62ApsoPVOM240poyxPwn4VNb7O+WRSB3cVphJq4oF4lgYCjfLBy7Ee+oz9xvtKtu0WLAOXHE7KJGZZGzlwDeSA77SwaYsXwb377xLVLC0K/WcwBwxD0zePNwM/GQv4WbqBkLRRlMKXcpjbBPxjx7B8BVmbNe+4Pntv4Iilpxfs0LB8xWtIrV7aWIiKBhRkzY6nPIYD/PZ78pp6vX4JDffpyx76xxZxHTYvz3u/+mlNVHeJCShniCgmgI3xeb4z769A4ENIa6sZk+DMBnenq0wLvNXrb9r60Kdxu0r6520ZNz+fL9OgqjYaYuXczFeE/31SaOe2m+gDUShAh7j04em4mOVha5iy5jkRvX0V2PZLB+5rnGWLEEjrnL40JxDH7Ze+hA2IylNhRFKreC+a17tDi53Ti+IGo0W63YssyE/Vl1PUT5YWFZQ4s2VvHivPW8PH89c9dUGNVJYkbYl9fANRR53XAA9h6QbnEBt/XnKk7C2F7j+O/xT1mHJ41tp9wyTfihX9SK2/ItihQFiOl0rURCYSuFqQj4PTMLP3TuCxp7sFvkeaE8LtrVu4CIv9g2ZS1AahqxhKQgGvZ9sdn6j769A4EgJCSJ5qobR13eHoj7pVycF/a4Vs7fbxj7jeoDwN9jzvVJ92/6ByManmEbpTbPiLfXEwI0mbwfHoTwvByc+91lZ5/cU+Rd0EcuzQGQvGLoMwam/j/9+0FXwf6XeSxvt6/afGg0IKolHyTPIKLr4Tpk8CE8PfVpehf2sQmlH2xaN02xBPZGrR+ieRRicX6EB8/dA4DLDx/NwluP4Ztbj+FPZ0wyZJA0NPnE75K8LPNxMG2fINxRK3YePeZR9h2wD93yiimIFNiLx/PFtKTSRa34WaAk76s5o9RHUP2vcTMjIoKm2e6Bp8vv7ek4rteuJN0vG++VOixlIUTm+dptcgghrN5ZQTTk+2Lzda24rWVI+pkzxT7Q7KjTz+rX2+DLvzwAgMcu2ofVdx/PjcdP4IgJurvxyJ31MYzbYror553fHsIn1x3uinM375ez/Lh0tQ07QsDIQ6DnSOgxPMXlKEWepCspcrOlJJpg+EEQLYKRByPGGdnyzExr7qgVo7FZs1yN7Y0I6swUmUZLdMSWu5VvtIhJfSc5RTIaW8KIPxbAki01vP/dFkjkGYf4+HKl5JhdBvjWYxKLByly4yGxHiK9WeaH8/HF0hneB2PvAXt77peQcPZYw1/ucS/5WHgeRe6qxJJXx4zwCRLUrDMaqMil/Wh7RY7rdURUOOoIsshBGso7LMLWZKS0OJS1sNpCYTR4sNP8LYL81yEk8YAQPsfv6P7s20vyWv1mGxS+90L/PK6P/mK/4UR93kWPonwG9ygkHImQvNe2e2x70Vrhh0GKvHQY/GZBajeRUuQ2/B6sXMVsFPHGZANwKGz38fqfzzfOSea1dh37Riw4TjkjTEVuf57MIozMdRKf3yDwAUsq6VhCc2zzIPT9IaNZmg/4HQfe0YwLgGSkia0H4vcQuZ7dIIJmopr3NT8S9MIxlULSteJQ5H7HpzBS/CIqnHK5vyY3hESIkrwS3jntHW4/IE2+eZccmmGR5xvutqAXceA2ISht2Mio0CbvcRC8kIkMiFrxIWUAhNkGF70IQNRMamW9q0L6RCTbrFL3NaWMWukE5KQi73JRK/FGiBQkHyAf36ggaSHc+fmd3Dj7Ro/vXIAn/DAiwoww0rt6/MN+1pOpyA1NPri0kOG9u7Hb0J4U5xmDspozJM8b/eG1hoSEpri/IjevK7/3dABCxiox5qIYIeFqpp4ICbz7hUga2BKqG6s9dQvLJeCS2+7SkBI8GtJpkeeF/Ac7rftr+Mi31W1jVeUqsxDf39m/NyMdfzznZuAjN+/xkJIhnDz6ZO48KLnsnMfl4rKEk66VVFErtnNNGT3X4Y9jke9BezrlCOoleco126Dtu7v+ms1mwcZmW9mhKGjxwJdlPG34YbA1YD0rbWeQ56Yi7zImud0iNxS57yCYGSng8s16Fb/tznz2D/j+Y7rFY5y72pnj2qrbr2FZFrlhHQsoKogysEehniwLo7vuUTj2tYj8lVGT6VpJoxiJp1lBRboVm2u3K1xTAAvLvnHJY+zxVQz2By/YSjZ/h3QuIPvMznJzUQFhvwt2Re4Uz9pu/+tuI349IfM4Y1/I9qiHRIgTdzrR+r61bqtHcKskIdCMnlRBJBToWvH8Jh63h/OUveuT+ZId9dtmeEpbOZmEH/q+lM367bK5zxfoVnm80Sm/eY+BuOZqGzaEvUwfkk+Gcq1Y2H/cXMdqnLEG3bVivqTcvlOXwrau3u0LhmRbqdkM24wFHqx269fwnZibTCtMmP/Z/LJ+4YeBWfhsz0rSR+65E/pt2K4nJkpsNFYMDBqcS2uR43nB7dFvDx/Z3Ioc1zH+4YduhWnPwOgrp9GjGFM6mgm9xifLyNQidw/uCte+FBY51gs5+FEvr3ctSOGxyA1FHg3j92KzFNmy9/TxHmuj+dF5/IB4nMHGohV+zA7vy/q8UR459GpsVre7DeLzW7qPM8uwbdcnj4V12R37ku0n7YSgTJS08pHb6EqDneZ11G2Dr56yXXNCMl8AACAASURBVJurK2YqpoCoFas4u0HXfSDCSKZFXjdnfRhF+TYswyI3FHlImg09acH7WuQSf4Vi9SIkjTFjANVP4QChsJ6zur5Jf8i1VK4T+1+//e4XX0CX3z/80FaOde+98poWeZBrxX0/QiKUdGP49bzcv6efoje3215SmYQfplLk1826jsXli21iOxWo6SMvzPMPP0QIKF8Bz5wFz/3EKbu5P68bjf33JBPiUhAW0vWs29p+oEWO97d0y4LP+UIAIYciF67yE+nCDwPa4iNH29JOKUVuow1vRkchZbIL59qR/Ovz8iozEjD5jRmIA38NIw7UfX8RcyDV1bil1Jer8rmnCXuDNs9xy5UszO+yPDTFAqww4/RoyWLf4t20pKtqpXN1i2ovwqcbn0l7M8McAwklFfbS7Us99T3w1QNsrt3sPc/jYvPB4Rf222+KEPyor65azVlvnuW/UyQjmKxcK36sn5dCCKCplvwt+kpImyMRPiwKiL0HYoQIE7DQcW2Z/0sZUvdOAMycPO5LEAJpulbsO21FxLQUbdxh5DgL32fgPjbxlCJP0hUtchPXIJ3Hd+pyrcQSTby+8g0O/J+ev8ORsta04CXIRNynPgHVW+CuIcbagzYZcIYfOmXyc63g76IgqRQFwYOdHpeRG/cDYHc5Gdy8383cf9j9yf32+yVB03x6Ax7Xiqv7bO5LI689RYBLUP04Y7BzxY7lzlBQm3xHvXiUucNTj2/4oe/Lxi2n0XtyX3c6bL0QgbDuXao4chmrd4jqdb05T6kOB6ueuCbo17jWSFnhKu+hg6xa3M05pf8ckP130VM++/3eIgQVa+DLR61t9vBD00ceGEdulLm9wSeNrkkbKvKcm6IPpHjicw1/Re7XpbYnzRI2fSkF+Pf6hOE6wPCThrwPV60RqmhLGpRU5NJxrBDJmZ26a8Vek1Mh+s5ORNIY8w+9M4+XsRLcqQIAWPQSjD7JJqNTVtCnoNuvwZGzm6RC83sBefJ5O/yx0tveXPJHQhFoqIS6cug1yiGHfnzIKt28h8e9PJWtPeB5QDh8uz59IPeLy3GMxLohHv2aVDBhkXqSlYMA10pBijhyK9mVz2+DFifNHC8HmkS/lsYar7vLOgCvsnb0Tnzuo5aAcCigR2mEvFZuALo7XrRgC8dNo8hlqu5RGzoTck+Ryy4Yfmhv/DZL0jkVX3gbkdFuR5aOAvQcJQ6L3O27dlt7Tter40sI3V0QEeYLwGGSOwewgixb2+f8sKAx5tczSH5P1I5C674KMF0wRnnrPnddt3Ts9iANTWBUE7JZlSkf/gB/bGD2Q+O8sAjDf46Ebcv0pb8sMVz3wyavFM7tDkvd+mwd7TzfpmRTLvWGwBzs9E+RFkCAIs+PhnSXm9+LLeZatfvhg6GH8TtW9YPe+kf7wsQD43E2RXQV9OiiR60UAo58LHP+CbfeDSuLgB56m1/0kud6U4bAmp+1BESMAVtsBofAetla3N4byvOAPkgE4+q/9pZr1U1m1rZyrdjo4q4Vv2gG6Wp4pgIpCOdzyphTefr4p63tjhKFALu152bH90Y9tugQ49gR0cPRyo9ncLfBzpcCPq4V47xkNV5rqHt+hPqgKfrWkZp+fFonud8byLbbFX4YwscKw/bwB8YxSqss95nJ/w3/87ZlfoKYB1jHm+e8e/p7LLxgYbKcAO+IKYfjr73nENQTMvZL6ZyDkBHSGSuu2Wd2EvBiSzdOYIheZ8tsVZJItrv75t1nVC3ZSyy1n6JXYf/0/cfe8oUxcO33W5onawkI2fz8fr0fv68StoV6+5yD86C0KEVuYTTZDpYiOzgerqNut1mSLgvO9Eu6fLOleaUOC96jxA09nnzQXftNn0z1FmuzaUVqMkyk+nBCpmUrkkmx/KJWHA+Rj1VZ1xRnfbnNheO8E8b/EvtVBDb7NIrcfb9CCDTp8xIRASFrNneQn+Fg361/D2iP5n0PJReWEH63KNAid77QPS4Ud4/Lr6cjZfPcKmY9Dos8GX4YmDSrfodDRC77zFqcWJQO9q3FT/nE7S49CRxwhV7OKf9wbjdkSwrhvhc492HsE2FPT0l3WxrSmM/ErRXws/esIjRLLp/fWgRHraB5jaS2IOcUeZe0yCUwakoyRt7HR+7cbpxu3QtbF93W3jy+dl/ftQvj0KaERtTwJ7rDD9FkmofIW09DLEF5bZOxyUfhYChyn8RK3i3pFLnzfoUJIf0eRCHYUrOZV5e/6pRL2MoxXwq+8pqHJeXQHIrIvB8+j5lNUYJdwdtsT7924JBTEDjAZ9vv96KZtbzMs+3d1e8mr8flWgmHhNUe/OsxPu98vOc6iBbi9yuGfF7V1oC4vWz9gyEbeiSWYx/Wtfr1TpL3UdN/iyAXlaNae/8JNgozz79HZBCCeFzji1U+A52rPk5+VorcRhdU5BIg32dtTrcid3XpzRVUHK4+e9nGA+Y/km+Tw9G+9C+xuEZe2DDpDes+Odjpp8h9LFuSD9FhY/sm852kUuSE0i4wkSr7oXGA1YsACAm7Re6st6JhB48veswph12BBikukvfDrrtH3fC2XRAMAazjPZkohe6oOHPsmc7tts+eNTtditx/gE/fL5Ge0MOt1Q38+JEvcPN/M/4vKbatUWma1Gd1uvfZ6+llJHgbf5LvdVii2+6Vn/KprI+xNBpN9rw9vSRgzNHmRkcdgS8183MioadL8LuPRtSN87qMvxI+r9EV+YaKBhpiCccLWwOe+3ItZ/3rM8prnLOSN896wvrcluGHuTXY+fIl+gj4wufg1luS20dNgeL+SWVnf4sL4y8E7Bfe/Uj48j+28g+Dvjs7j7c3AhHy2Zfqb0iv5uk/Y40C5ZdY5fmHONnElK4dDuVvFmM7wadxBw5+GcfGEhpR8+F1yeRJmiUI9tUanxdvqDSvlEm3TaM2L5mJ74i1X3ONJby9HoOG5ABiRrgs8hDCssj9E3o5v3sVlat8135NS1hBGZeFXwWOT8oBSddKQF35oTySJfgoIOuy3C6B1HKZTdmuyDdU1LO2vM59phPby0ug51ox89P71yOgwFg0JMha9iHko9f+9+07PDZkIHdt3cZoQs7eh0mR6a+2y+AqSPjslAlwuJlsZVeu0z936wPC2XO8OHEdUXRFf+HjX7L25XVWCX2K8/hbXQyMy48lnD2KAatfZQX7eS80y+SWIi/upz/dFetgmG375m/02YsSnN1um5VofU63H+/b+fuPYcNXzjI8f7XgfYHYcnQU9fZYknZZHYOg2HbbtgsJE3pNABZa26UpG3gerlQGQiwhiYSEzfq2qX7pnYHofLd4H+KbThjPg//UBwTd3pPk0JruWjEHd6VfhIR53eb+AOzZD/UkqgHhh66z7MeYESFBUSsW85+0Pl4bfR74t+v41K6VkAjRoMV8yjYVUPC5OMYm3Fej/352Rf73P99ElDhwNCmxux00LanIg6JWDLeFdJ/vuaYkYZ9nIxbSJ0Yty8tjtP1ZsBdhX5zDqkI4eyd+PRvXYGfSnhNQ1BfYjhyyL8yd7TivR2GEOmPRLmkrNy8S4phdBiBfMFpbpJIP17/puab2SJqVW4r86DuAlxCHXQu//nXb1mUqsGy5cqRLwUsNZs2AGb+Gi9636grMweEXeeD2nWNv78Z2id6LgYweLrPOpI8cTx2ewU6E7fqcUpifh/Ys5Objx7N10essvO1YwsXJVYkqX0+wcf6z7DW4kA/imnV2iQbVYSiU0kgslu+6L/6XYN4XU8SQ8M/0aMXG+7g7rPIzcK18PP9bjsJLMvuhvTznfUEIwoSIp/yNXK4V+wsnTdQKUjoSZt0d1Xuan2i7clJFJY/0KMWDdCXNkhr50ZBtn089mqYvWejn5hFAt75wyMXw6X3WZrdF/unGT3lq2YMAfF6Yz1SZLMc+OUf63atUbdD+PIlk+KHzJWF8Dud72sFvjhjNzAVrYS58cPVh5I+yzRUAlt2bz34je/LIsEf4z7fJBGCfr17nOE75yD1kQbGmrSKgm92a8kIh3SIIRyCSh8g3cqAEDGpayfpxbndmP8Sx/ejhRyXrExg9BWOT3/Xhal/1+tJsDbGEnn/aXod54MavYNMCeP4C+NuesHoWy7d8xcNvXeIp26MUvZJYx3Tf9CmjRHKq+jXby7lh23YOr6uHO/olj08TteK+X7prxS/00ZW13P3BfPG62oBw/d1r0/985UjtWkn+CYsQ8UTMsd3x2f3islvLjrEJv/vqP9j5Uf41XLHD67L673f/db68hDB85HaL3GP6626LUMQmi10MAcMOgMNvYmbhEdZ2t/K5dNql1ufv8vP1nprfcxj40gvonVj3MYE+2OlyUQkB/cbDgEn6souuOof0KOScvYe6CrMXL4gIQSjsnMxWZD6/6cZ0skBWFLkQ4lghxFIhxAohxHXZKDNNhW1eRbsQYHmb2830oUHhh27F/+s9ruDEUUZ6UpuC99RnfvZpV/KRYwCI11fxl8prIN6EGbUiavWJGuWhMLFYDRVLXoftK0GLUScE/636Ti/knf+DW0v1f0+dqm975GjLxeP9+YzrNT4NFProf76U/Ki6xnm9fn89F+G8XyECcq8b98A7AJksKDBJlFkP0Es4H+AGcwarq9xnpz7Db3b/tbEpqSxChIjHG5zb7Z/disB6kwj9xVtT5r0283u8iXBAnhW/oMT/9+X/ozZW61BmiYRGcYHZefd7sQk+btjMxCF9uG7m7wA44dUTmfjERG6afRP18QY+WDONiU9MpCGUHBtJr3wCFHkiIJQ0XdRKQoOQN/wQBJtitZRf8Ko+Q9W23bzk5IIgfmIKNBoRkQzGHtqIVrtWhBBh4AHgKGA98KUQ4nUp5XetLdvNzKVb6Qvc/8Eynt7wFv1K8rnggBHW/uRyU8Z3a3uyjKT/1XmMueFvH62wjj1sXF/GDShxyOBYUMHHMHF8d/QuhWdf76Xr2Bc466FPWdRnC+9ISVVDDK1Kf6jvensxLy9/i+meaBanzOaeZz9fy5lHNDort7cdRxkBSYkM7in/FYPkZtas3aLXUD4LpD4Ne2s4zKa8CLcPHwLA9V8kKK7PoJG+fzNQmuwCux5SKf0HwEzmPnUzu55zWwaK3Lk9hC3roPt3sH+2W2hmOSnkCTIn7rr1SkYN6M1+W+ocR5b86zDCW/Kpp4fDKhR1O5CL3wTy9VzsjdW6QjHzsr9wEazdD95+DegF/zoUesWgaQDMexK5+WGgD3z2T+hbhzVe01ABjZsRdRH46mk91UEGvLHidabSwxI9ntBYXHAJE5+AG9cVMymRx9/m/42mRBOnjD6FuExQnmgEwp578trK1zi4Jg499T3l4aSyG9fUxOeFaSYSuZASy0fueQDtvT4fY+/tcCNL4hu52PWbxmWC78q/5aLnD+NDeWFyh1HGFR/9isJG+DVw4isnsqm3s+wH6+N8ve0jgvIQWL3Bpgbf/dkgGz7yfYAVUsrvAYQQ/wNOBrKuyNe/9T59SQ44bK1u5M/vLU19Uiv4eGkZn64stw/FJXE1BneOBefLw3WssXNS2Ub2BY5Z8wV7bF2OFk/w38/X8vz2GbwMTN66lG6xBjasXcP33ZuY/+q3XAoctUBjz5VQV1XD0tUVfP32Yk4H+i/7msd/cwenANe9tJD9i2Psi6B2s+Fbvr0304dfTlxEGL5xEYmGCFu/KaGpKpn0aceyboRPG0IE2EoJTbVh8gb2h36lyPUrOXtGgr6VsMm1TGXvajj1U1uGQWOxBdF9ENBIxcoiYnVGQ797CERsd2VNIdCTiV+HGVQkKNXCdI8m6FFXwNam5MMx7JvHqXrlcZpWFwIRGma/xtbTnmO5HMzCwn04bNdhbNhRz4DNWxADBlJRr3fBx35dS0KuBGBTZT1l8e2UFESJJiSltXDsPF3uS56cx2cfNLLz9jXcB/z3tgcZv30NZUU9OOy6tyw5QlqCt4CJqzWiccnWCufL/nJehsVQV5ZHPfnMfvVhRgHblxUTqzWu595xUJwH8Z6M2gA9pfEoTr8DNl+vf96sTxGv+LqSmuVv01StW7PClmynblseiUbDtl32Dvz3taQg5X0ojkc4aZZk65u/MzY6ZT17rfeFPmaTpLy2iRHXvcUL1Y30qNzM2TP043quq2BLDP69UB/QfeK7J3ioIc6ozXD2jATDjM6B+euOLB1Jn6IKItvKOHtGggTfcrax76C6EI1FKQyKhPT4orYtKyaR9733WCFIlJdT+dprvvsAVn/dRHzpFqZvuI9dgenrPyaSX0hRUyVDaiRnz0hQVz/X8zI6ZJEkYnayAt7eozZL6x6ZmO0ivn4DAFUPXkvjM1cRueM9ek3YJfi6W0A2FPlgwO7VXw/s6z5ICHEJcAnAsGHD3LszYkrNKiqAa352NLcedxzONWlMa8r8btVrOwbnMR3somlau5aFJzzJlHV6ek9NCNYV9+egXYew4eM+TCpbwaQyvYewesieRAcPojYvzCGL9AYj0fi4sZj35m1g75J+7FK+il3KV9EQjrKxuA/TG6rYNySp25ZHXvcYCJiy7gEANpWWUrG9iPLFxQ6ZKla50ouKMCX7HUt06BBCn/+JUz/T73nk8AN58cRrGNtzLFu3/IVtjz3K1LkSkZ9P3mUvwoEHAhBds4bQ9DOpXKOfFy2OI1xmd15xHBHRmLDI7GyHmYREkE85AavvAE3VEcoXF9OLSg5lGvH5IfqjK5HHNoZ47p9z+U9BKbuvrgSaKC/ozqmPfUODMWh67gbBeQ0w5RtJXSSfzd30t1NZYQ+qo4UcvEHPr/HlgJ0d9WoixJqS/oxft4Xx6yTlOO+hnfzSGIcUzmFDpCcVK/V7GymKE4pqsPu55E+fyZCNtQzZHEKEJHndk6l+o90ShKIalWuS7ohwnkak0JhpWRqnfnuUhu1RQlGN6JSfw74n6n7gUJiCqkcoemc6x84hUMZTA7oc3w6ro2T8dcxc0ZNj66s49bPkvnmjk8/NzfvdTN77TzN8/jKGb9UjZMJ9evPexW8TLtEV2YZPrqXwzTettmMSIt9RvzTiJc3S4yG4ZcO/mf3EI+y0UXJLFLSV3RBsIG/QIELduiXv89gxVL//PlXvvkeotJTIgAHWvrxhw2iMCo76KlnXxl5w5exrkEJwRUmCA9fBqZ9JavmKVf3hzCcmUlojubcA9l2qnxfu04d3bddlsvaTS6ieNZthZc7rc9/zmo0F1GyEeS+8wfm3ZFeRi9YGqQshzgSOkVJebHz/MbCPlPKKoHMmT54s586d26p6uwqxhMaYG98BYNVdUx0vl9F33UpByWoW/epxa9tVH13HtHVv0TOvHx+eNU2PLAH+PfN7/vj2Yn5x6E5ce8w4mhIaQkDsD4MoFg2sP+IBBu9/FkKLQSJGYsMCwk+d7CvTZbEr+WfUiC6wJYGatX4Wl314GYCVJ8Rk4hMTfbdnjJT84ulDqKrdwtB4nLeLu3HX1m2cUJvG72hQK/PZpfEx6/s+I3oxdeIA/j1rFTt63YGMl1C/9hLHOUeO78fn6ImaXpv6GZX1MRrjGjUNcYryw/QrKWBE7yISUs8jY04fl1KyvbaJE97U44MXrlobKNflw99k/PAB/P39RUSJs+juMz3HnPn66QyoreDvp7wIhT2dO6s3w6ZvYGyacMEAbn7yQObEtjNt3UY9M+N2pzU7cWTzjKqvfvyVnu3RRSa//8mvnsz3lcn6F65ayz6DdqE+X0+jPOOMeez5h2mUjE8/zDapzyS+2/4dQ4qHML7XeHbuvbOVr8XOXw79CzEtxvWzrndsf+ToR+ie352EluD7yu+5YfYNaetMdW0JLcHoW55GiDjddrqPbprGnDXrncdECgnH66k+721KxhyYtj4/hBDzpJST3duzYZGvB4bavg8BNmah3B8E0XCI1Xcf77uvcJDXpxkJ69ZY76LulhIHuPDAERQXRDhr8lBCIUFBSO/C7wh1p1g20Nh/N0QkD9D93OHRhxGXISLGyvX8ah70GQ3APwG41VP3sO76Q9+3sK9n3wmjTmDB1gUZXHEAQiD7T6CqcgBs0Rcp8LikDvgN4qjbvP7Pd64jb+6TzPrNFIb2cvYojpzQn+NeL4P8Mh67rIgpw6Y49k98Qv87qm+wVe33kJQUBOUgh++1AYy6XXf5PWBsa4pr/H36CjRNEgo55RcijNZvZ68SBygZoP9rIdrIQwktew0ueAOGHwi390p/ErqiK80vZWjJUPZ9Ru9gHzbkMF8lDnBZ3mCGV2xKWebA4oEORQ7Qt3oIa/MXc+3ka+nVLY8lfziWvZ9JKvIhxUO45YBbqGqs4uoZV1vbv9mmr8G6umo1q6tW887qd3zrvGbGNZ5tboXcPa+743v/ov70LuzNd+VJ7/BHZ36U8trCoTA9ogPYUa8PfI9tss3wNIyh8JrP4LFjKalaDrRMkQeRDUX+JTBGCDES2ACcA5ybhXIVPkwdNZV3Vr/DlXtd6dgeCYf40T5e6yph5JYQ9uQ9BnPlOPYTxhJfhhJPRdBDDHoq10SaAdR0aFKjZ1EBjaLQs2/duTMYOnqSf8RSQXeiiVqG9vC6YYb0TCr2X09vo7kHu5wK375ifW0YeaTnkMK8CFJCY1yjMM85KBYWYe9K9llCQyJ6DIWRhwBwevFTHFXxHL+IvJHyvL3670XYMAZu2vcm7vj8Dv56+F8Dj/9lZAAkygP3g64g3QwtH8PSpl05b8J5gJ6Ya8bZM6hoqGBUD2e89sIRCy3LPxOOG3kcl0y8hEgowomvnhh4nHmdu/belWdPeDbj8n2R+dStuZi/c4t335C94eg/6i/ULNNqRS6ljAshfgW8hz5s+6iU8ttWS6bwxVyNxm1FBKGZI+k+SrZf90LfdRyCiAi9ufglzw+HwiS01ilycxai5hOYNnTs7sEn5hnWdKwumeogG9zqM1nGxvhBA1gdjXrqnHD0zzzH5hnpDpp8FLljLc8UPD93Hde++I1n+8o7pxIO+Y/3aFJzZD8sl8Vsl8G9DxNTuQGcvfPZnL3z2SmORo/tTvGiB+iZ7+xxbJY9maNNJF5Z4ph92qugF70K/HsOCzdVwqRzYOr/S3MFTj4880PKHz6E8T4v2UHFg7hx3xs5fNjhzSrTjflUJOpGU1qgf5vW96fJyWLhCBzwq1bVEURW4sillG9LKcdKKXeSUv4xG2UqktjHMcobdKsn5UokNu4rvIK52liaunut9WE/0pdG+yB8UEZlmQ+337hKVixyNIQQNIXNxaIzPDFqWPB+iY9sHDj4QL4870sW/HgBX/34K+afP7/lwgKL8/OoD4nkiwT0bvRg7yLDpiJvTHjvUSaKvLoh5qvEAXZyJOpy4p6iH0u0bkwsEHP6ewp6FjgV+X6ND1BBCWP6pX+xWISiYKYzaAb9ivoxPhYs4zk7n0O/on6++1rDUftMynqZfuTWFP0fKAmZsKzhG2ffCMCcjXPYo98eac/9NrILZzTdyrth70rvkcG78fYJX7D7TkN9zvRiKgQ/pZMt10pIhEiIYP+zL3mG4m8Kyneuc9O+N6VfKNmPc5+Hgh5QOhgQkFcEKz6E+bfp+6NF8IvZUBjsf84PJy1yN5ko8mVbqgP3XXjgiMB95svRpCmRup7Hj32cioYKHwHe05ey2z3Aa7ru87Qv0ubnRfcrJAqJ5ityQI+vz4YMAfz68DHc/qYr6rqNXGZulCLPASoaK+hT2Mex7fPNn/NLfpn2XNMSDMp2OHXyuIzlyAvpL4P+3by+zmy6VpptM2ZokQ8u9l/gwBfzWvrvCmOP8e7vbRtTyCuCAal9t3bXipuQCKV9CS7ZrCvy2b+bYvn9E5pkpxveprQw+MWnSc2RayWW0KiwhcW9tW4jxw8dZH3fq/9e/gU9Y6yJGqTI61L7x0Fvx35cfXTmbVC3yOPpj/PDnKLfRlx00EhO3G0Qe//xg+TGgSlcglkkR3OtdC0aE42U1wc/CFOen+LZVhQp8jnSy4Pn78mvpoxmbP9mdF8DKM4r5s+H/JkHj3zQsy9bFrkQwjYBK0PfStSwyGOpQxWbNW/AtO4nesMFAac7JdrN/xj74aZrxUeRh0PpBzvXlNeRHwkxuIctpjwkiIYFDbHgczWpIaWw0gbE4hrV45L+7mHxFirFFnD++PN9tx8yto/vdl/CkZZb5JqW1v2TLWLSqGfgbu1Sn1LknYBffvBLDnv+sJTHTHxiIue8eY71vVsGygP0qI1rjhmXtclPx4481tM7AMMiz4KP3L0IQkZEDLdRvLFV9TswXwr5AS/AqC2yJpreXZOfwiIPi/S9mbLqRvoU53t+x4JoOJnbxYeEprF8ay0736yv/tOU0BjeN4sDws2gR0EP3+1Fec1wDITzINGU/jg/2ti1Ykezlo5r3TORKUqRdwK+3PxlRsd9W54MBiqKZmaRtxcREcmKa0UIQXVEH3QSmTpZjHQAJNpAkQe9MCO2UEef8Qc3lmvFx0ediWtlW00jfUq84ZX5UfQkVwE0xGOYo8bn/nsOsYQMVPy9C3r7bu9UtNq10j6zuWeIvfUP7fTiUIo8R8nUtdJehESIuGxdN9305/Yu/C3nVVZzbE1mszqTFrm/pfang//E2ePShM+5aTLqzgu4z3blnYkiTzHYGRGRtK6VsupG+hZ760n0fYR3a7zhjiaxRMJKEPLpSt199/inq32P/fjsj1PKkJbeY1p3fia0yrWSPrImW/w+dAVc+V2ybbYxSpHnCAsvWOiYkRYNNzOyo40xQxNbM7HF9JFHRDHXbd9BxleYxiKfOmoqN+13k+++U0af4jtRpc0s8oDBzg01G3zDOmNajLLaHazYWkOfYq9FHs9fnLLexniCrD7mj58QvK98edrTTx11UuvqTxV++MSJMNs7Td+iHVwr5sDzb4/Z1Yhyah+UIs8Bbj/gds82c2JQZ8EMj2yNe0XiXM0mNIOV7gAAFSVJREFU88pNRd58Sy1wVqU52BlkkdvvfyQ4sZdJqsHOhdsWUtVUxesrX/fsu27mdRz+4iHENclRE3xeOGmRjpR9l0/ZiRn/dxiJQ9PnFvFl9ayWnWcwuGRIq87XfeQBv/OqmfDBrcHntnHUCui/8+q7j+ccn1nWbYlS5DnAwUMOtj4fZawAdNJOrbRssow5SNka94ppkQP8J35c5ieavZMWDHYGRttYFnmQIrc9Ohn0jvJT+MjL6vXcrzd9chOLti1CkxoJLUFCS/D+mveNoyRHjG++Io9rCUDwzM/3ZfXdx/N/x+zM8N7dCB30m2aXlQ1avZK8ELDmEz2RWPMq1i3ydnKttDcqjrwTYU6IAecAqN36vufQe/Rp152sQZp5WFrjWpEYU/Ql/DF+HnvsfQh7fXU9XPZ56hNbMdgZOBnH8pFnEB0UzsAiD+u/V2OKCBOAH731I9/tB47xSaiVAZrUkAjLR28iMoi0CSRN6oJUBOXzzhizR/Cvg1Mf56nYzJXfuZ6bbKEs8k5EzOb7q2qssj6X5icfHCFEp1PikJy1F29pRAHOCUGSEOuHnww3lUG/nVOfaPqoW+JaCQqbNCNB0kQH7dTUlJGP3Fy8ON3MyiAKoi0b4EtIDaSwXDs/WEyXXyd8drKBssg7EW2VAa89MHsSrYkl16SGQLDroO688fVGhvQszGzUvxVx5CERQmuoDLYyg+LIgcGxOOObYhnJmCpqxWRU6SheO8W5ws0DCx7goa8foiC/ZS4JvU0JR8rjrBHOb0EvKEvhf1P/Avv8PPk93gR3eNMrW5gDsTn8jKVCKfJORKv9hx1IKtfKsh3LmLNxDj/Z5ScpyzBdSz8/eBQHj+nLhEGZZXhMWuTNnygSrq8k5aOdn1oGIWlW1EoshUX+7PHeFKpDivXBwcJoagU0wliK7uzJQ4klNLZWNzJ7xTaKhlcD0dZZ5O52aVtsBIC1c+BRnzQGaXjg3D2ZNKSFbprdz3N+T/cyffAA/e+cB+HQa1tWZydGKfJORF28zpro05Bou4Va24JUrpUzXj8DiUyryCX6hKBQSGSuxKFVijwUbyQeNEmk34SUE0gkxqSlDBR5NAOL3C+k1Bwfyc/L7CU/Y1kZ0Yhg3XYz74weteL2kTeLdFZsr1Gp9wdw/KSBLToPcM6sNdn9fPh+eurz0uTjyVWUIu9E3PTJTTx05EMArKtel+bozkUq10qmKXftg73NQgg9HLAlFnkiplvkF38EQwISRgVgDdxlpMj1g5t80sjedsBtPLboMd+Q0o/WfgzA2tgMwJtL2+SnB4zguuN2piCa9AHXNyWY/OSdyFjP1lnk9rGHY+7y7i/up68w1aMdQu4unQlrP/d/wYbCULUh9flxpcgVbcwnGz6xPr/1/Vspjux8mK6V9dXrA7MMrqtax9DuwSlz3Zn6midAfuDMzlSEZIKEEBnlS3GjW+RkFEcuhG4V+7lWThtzGqeNOc33vHXV+rqPFfHgdUEBzpo8xKHEAQrzwoSiVYSiVa2zyM1B+IOuhP0CMm5msMIUZP5SD2TgbsGJqKpTLzXXlfmBD2V3XlLlz+iMmK6Vi9+/OPCYyqbKwH2QzLXSMgGi8O3L+qCl379G/6WQwsYSeFoGytgjL8YDlOEs22hYpHSt+HH6qAsA2K3noSmP61uSWoZoayzyDcYCHLPva3WukjYd0O+1k/73jd8ko1R+ICiLvIOpbHQqt+asSdiZ0GxDhkHXkC40UUMLzJuelvodqfcveRN2O8ez+altXwCwPdGIPafj5trNvPn9m/xs158FvlwsizyDOHLQlWmqwU5fsbcvAWBm2bPARYHHfb39U44sCXa9pLLID6+t46NuKcIsK9cH7+tMmOumzntc/+dHn7HtJU27oizyDiZVHvJcIpP48XTWWEJLtF0OmYAUqlVG+NymJueiB1d/fDV/nf9XVlWtCiwyqcgzS4wU5FpJRf8CfSBxbGnqJcM+Wpt6lXfTR+/H/Vu3sWBVCtdNUzMWdk1Dq10rqajZnP6YSWe1Xf0diLLIO5iYKwHQwgsWIqVk0pPts9ZftrDnWLEn94KkhZ7uIU7IRMt95Ca3VDi7/xsXwMOHpk19+sqa95k4JLm6eVWTPiErVUioROjaPJzZYxQNh3xzraSiNDLIOjcVb3z/BncefKdjm/038etVfKWNZo/QCgSQcppMY/Ayc81lS+2WrJWVEneIpDVPoH3S2LY3SpF3MH6WbLYWgWhPzGiV08ec7tl350F3csPsG6wB0SDcCwW3CPe9M1fySbN60AsrXuaFFS/7FJdB+GGG5EdCzV78uKxWf6HM3vwu8OeUxzbXLTctsRd7hFakP7DasHSzkKjttZWvpT+opYw+ClZMgyNva7s6OinKtdLB2C3yF098sQMlaR2m28RPWfct0mfcNaUJD0zIROsVuRtrYeaWuQdS+eylaJ59Fw2HaIp7B+HKaxp5d5F/xEV9Y/J+fF32dTNqS8+DiROdG4J6HzWGFV3ckuyL7cj5L8IV8+Gg3wYfM2Ry+8nTjiiLvIO5b14yf/K4Xs1YhLaTYVrkforYjI/+5Qe/ZO75c33Pj2kxqpqqWq7Ib96Gr1o109A2+VvkEQRxw6oujhajSY26ePLYdGl5myNtNCJ8LfK97vjAs+3mEyYQFvDg9HUUG+s1nP/2+R63lR33vqqmKg589sCAo/V8Ng6+ec53QJil7+h/dzklsKxOQ++d/LeLkD6xaUQzk23lCEqRdzDzt85Pub/FURztjKnwwj7Z5UwrvTFFXo4TX9GtQ/eYQcYEDZKaC0M0+YdzjgkVsVjT93127mfW9mlrpnHVx1c5lLqb5gbSLdpQRSSUmb/5D29+p38IZRYRM6mvd0wlL9TM1WleudRfkZu/ScmA5pXXmTjpH/DRHW2ej7yjaJUiF0KcCdwKjAf2kVL6m1tZoqyujA01G9i93+5tWY2iBZgZGk03ih37AGbQ7M0NNfqMvOeWPhe4mk+LCEcgUpDMZuhiSqg7i7VaxvZ0hqVNWz0NgPPePi/QCq4Ih3m1uBvNkTauSSsvipsXf7E/vbrl0S0/QkEkTEJK1u+o4bwPkwuLVDdVU5KnL568bMcya/uZY8/0lOf3UrVTGPXZv2E+NFTCTlO8+4qasdp9Z2OP8/R/XZTWWuSLgNOAf2VBlrQc/sLhvtvPH38+hw09DIlESqlHR0g9SsLcBvr3bfXbuOXTWwDoU9iHbfXbHGWN6TmGayZfY6140xrW16znD3P+QFyL89cpf2XJ9iU8+PWDGZ3bt7AvZfVlDOveviuNtJQTdzoRIQRTR0717KuNJ5Xobk8GzMprS0QIvp/hu+vS9csoKQhz+nlPObZ/t/0763OqQcTGUPYsvMkjenm29erm3HbAswf4ntuvqJ9nW7p0x3mREJ6x2n8bCvy6tVDgSmjVLYcVeRenVdpKSrkYOj7K4qnFT/HU4qfSH+jCrcQBlu9YzqXTLs2GWA5+M715K7IcOPhAXl3xKj/d5adZl6UtCIlQ4KpFtQFujXYjVgebFvimqg0B59cDEWcSpg3VaXJ2tIC8cIimhMaqu6Y6npkR173F1Ue1bqLK6B7eKfLpxhte+MX+EGRX3O1jQBR6XzSKzkGX8JFfMOECDh16KAKBEMLxF3B8rmis4PIPLw8sa0LvCVy111VZiZ74bONn/HvhvwH43d6/4+nFT7O+JrNZcj3z9RVhzG50LjOyx8iOFqHZ7NF/D8cqTdngg6sOZcnmKo/hs/ru41tdtp9Fno6x/ZvZtgr9J1UpOp60ilwI8QHgN8pxo5Qy46BQIcQlwCUAw4a1zF0w//z5VMeq6VXQOssg1ch/Ntl7wN78es9fW9/Pn3C+5xiz2+5eyf3yPS5nSMkQa43OXGZUaTLN6funv8/AYm/60jZNTXBLhR5aZypQIZKhdsbCC25OHX2qpcj92ktL5B3Wu4hhvVOvOOTH8O7DWVO1BoD8cL4V+fPishe57bPUMdO79d2N/Qft3+w6kwgs/0sL09Uq2p60ilxKGZzAoRlIKR8GHgaYPHlyi+bpRsNReoW7Zvfuqr2ucnzPD+dz1riuM534lZNe4aXlLzGgWwdEPgjhnShkKXV/P3JBJHU2xHPGncP/lv4vG9Kl5c1T36Qp0cQ1M67h9/v/3tp+2pjT0iryp6Y20+V48j9hw1w4wQiLbaqDO40XbxZcqJFQpFXLASr86ZqxODmIX7RHV2J0z9H8bp/fBY6n7Ddwv3aWKDW7900dGdXePaW8cB5/O/xv9ClMDjhmffJUUW89suOE5NwGKw4/S5wyOgdi0XOQVrUEIcSpQoj1wP7AW0KI97Ij1g+HN055gyOGHcHeA/buaFE6lM62zF26F+uI0hEADsXaEfx4wo/5z9H/aXkBO5+Q/FwyqPUCpSFdSKSiZbQ2auUV4JUsyfKDZETpCO6fcn9Hi9HhxGVudbdNa7ijX0DX7t3K9SeLeic/7/0z/2PGnwiL32hdPYo2pUtErShyn5Jo54vO+dHOP/IN6wPonqevKfrzST/33Z8z7HIKzH9C/zz5Qv9jzngcUszKVXQ8SpErOgU79diJj9d/3NFiOLhh3xsC9+WF89ot+qlN2cl/kp2DcCTjVL2KjkENdio6BfsN0gc79xmwTwdLolDkHkqRKzoVuZIkTKHoTChFrlAoFDmOUuQKhQIG7dHREihagRrBUHQKzFwhu/XrgOyIP3RuLs/KrE1Fx6EUuaJTMKp0FK+d/BrDuw/vaFF+eKiIlJxH/YKKTsOoHiopU1dHDWa3DcpHrlAoFDmOUuQKhaLdkJ4liRTZQClyhUKhyHGUIlcoFO2G8pG3DUqRKxQKRY6jFLlCoVDkOEqRKxSKdiNohShF61CKXKFQKHIcpcgVCoUix1GKXKFQKHIcpcgVCoUix1GKXKFQKHIcpcgVCoUix1GKXKFQKHIcpcgVCkW7oabotw1KkSsUCkWO0ypFLoT4sxBiiRDiGyHEK0KIHtkSTKFQdD1UGtu2obUW+TRgVynlJGAZcH3rRVIoFApFc2iVIpdSvi+ljBtf5wBDWi+SQqHoqigfeduQTR/5RcA7QTuFEJcIIeYKIeaWlZVlsVqFQqH4YZN28WUhxAfAAJ9dN0opXzOOuRGIA08HlSOlfBh4GGDy5MnKUaZQKBRZIq0il1IemWq/EOIC4ATgCCmlUtAKhULRzqRV5KkQQhwL/A44VEpZlx2RFApFV0XlI28bWusj/wdQAkwTQiwQQjyUBZkUCoVC0QxaZZFLKUdnSxCFQqFQtAw1s1OhUChyHKXIFQqFIsdRilyhUChyHKXIFQqFIsdRilyhULQbaop+26AUuUKhUOQ4SpErFApFjqMUuUKhaHeOGXFMR4vQpVCKXKFQtDu79d2to0XoUihFrlAoFDmOUuQKhUKR4yhFrlAo2h2V8Tq7KEWuUCgUOY5S5AqFQpHjKEWuUCjajbxwHgDhULiDJelatCofuUKhUDSHSyddipSSM8ee2dGidCmUIlcoFO1GUbSIqyZf1dFidDmUa0WhUChyHKXIFQqFIsdRilyhUChyHKXIFQqFIsdRilyhUChyHKXIFQqFIsdRilyh+P/tnE1oHVUUgL9DGluxVdMfJaRiGnetSI2lKEo3LtoGoS7dFRVcWEEFF5WA1KUVQURQFApVxNZfcCMYiqKgGKvGGJHYNK0YGxql/m78PS7uCXlvmBnfe3mZuRfOB8Pcd97Mm2/OzJw3795JHCdxvJA7juMkjtTxX8hE5Afg25y3NgI/VqzTKSm5Qlq+KblCWr4puYL7ZrlaVTdlg7UU8iJE5KSq7qjboxVScoW0fFNyhbR8U3IF920V71pxHMdJHC/kjuM4iRNbIX+uboE2SMkV0vJNyRXS8k3JFdy3JaLqI3ccx3HaJ7Y7csdxHKdNvJA7juOkjqrWPgF7gGlgBjhY8bbPAl8CE8BJi60HxoBTNu9rWP5h85wGdjfEb7DPmQGeYqnbajVw3OIfA4Nt+h0BFoCphlglfsB+28YpYH+HroeA7y2/E8BIDK62zlXAu8DXwFfA/bHmt8Q1yvwCa4Bx4AvzfTTi3Ba5Rpnb3H3oZKVuTkAPcBoYAi6yZG6tcPtngY2Z2GHsCwU4CDxm7a3mtxrYYt499t44cBMgwNvAXovfCzxr7TuA42367QKGaS6OK+5nF9yszfus3deB6yHgoZxla3W19fqBYWuvA74xr+jyW+IaZX7ts9dau5dQvG6MNLdFrlHmNm+KoWtlJzCjqrOq+idwDNhXs9M+4Ki1jwK3N8SPqeofqnqG8O26U0T6gUtV9SMNR+eFzDqLn/UacKuISKsiqvo+cKEGv93AmKpeUNWfCHdPezpwLaJWV/OdV9XPrP0b4W53gAjzW+JaRN3ngqrq7/ay1yYlztwWuRZR+7mbJYZCPgB81/B6jvITtNso8I6IfCoi91jsSlWdh3ABAVdYvMh1wNrZeNM6qvo38AuwYZnOVfh187jcJyKTInJERPpidBWRQeB6wt1Y1PnNuEKk+RWRHhGZIHS3jalqtLktcIVIc5slhkKed3da5TORN6vqMLAXOCAiu0qWLXIt24cq96+bft3yfga4BtgOzANPLGO7K+IqImuB14EHVPXXskU72H5XnXNco82vqv6jqtuBzYQ71mtLFq/Vt8A12txmiaGQzxEGchbZDJyrauOqes7mC8CbhK6e8/YzCZsv/I/rnLWz8aZ1RGQVcBmtdz8UUYVfV46Lqp63i+Rf4HlCfqNxFZFeQmF8SVXfsHCU+c1zjT2/5vgz8B6hyyDK3Oa5ppDbRvFaJ2AVoYN/C0uDndsq2vYlwLqG9oeEk+1xmgdkDlt7G82DHLMsDXJ8QhggWRzkGLH4AZoHOV7pwHOQ5gHEFfcjDL6cIQzA9Fl7fQeu/Q3tBwl9i7G4CqEf88lMPLr8lrhGmV9gE3C5tS8GPgBuizS3Ra5R5jZ3H9pdYSUmYIQwCn8aGK1wu0N2QBYfOxq1+AbgBOFxoBONiQVGzXMaG5G2+A5gyt57mqXHjtYArxIGRMaBoTYdXyb8rPuL8O19d1V+wF0WnwHu7ND1RcLjWJPAW5mLozZXW+cWws/YSRoeMYsxvyWuUeYXuA743LymgEeqvLbazG2Ra5S5zZv8T/Qdx3ESJ4Y+csdxHGcZeCF3HMdJHC/kjuM4ieOF3HEcJ3G8kDuO4ySOF3LHcZzE8ULuOI6TOP8BGDw5pAt3NTgAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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fMzaczxvNVOQ1c+ZQt3gx3Q49lNpFi6j+8AMWjZnC8q1VnO1xP2o++YSZNT35dNzJXPnzj7h9/mcsLxlKXVD/MSfsWk+sciHdp+5kUKAQ6JGWHHteepk9uYVEBwym997d5CxezB/EYSz7ei5XLVtI/tSpiID+nJq/ZXjYcGo+/ZTcCRMIFOl+7UhpKXWLF9P/7l8h8vKomTuPukWL6Hb44br8n33G5/G3YMRpPP2XF5m2ahEL+4yhuGEvIysX03hSkHhEULMjh9ySRgKiDuqTCcdqdudQsy2pyHcE7L3SY5ZKgjHIjUgGlsOk3pOa94OkQbspcinlY8BjAJMnT25ZKIXRhen3q7vI3WefjMnWUVS+/jpbf3ZLsmsmJYUnnECPiy9i/elnJI6TWxaSmxenqOcmtq4xBl3WvAtVfSk46nB6XXwqa7+zEAEIo6ge0y6j/qtliPdfTsQJHPn4K4T69gVg6RGHImRy8kqwoBCqdEtPWH8dKckZPRotL48VX39CwZjfMHb5OIpHT2LKU08C8PUFF9KnTiMnqIGUFJ11Jr2vvx6AildfZdutP9ev0bjOAffdR3hQUruUP/kUO++7L+0oXFO+ib0moMmlie03HHRDYlC01zU/INSvHxsuvsRWd/9f303OqFEAbLjkUqSUidvf88rvUHzeuVTNmMGWH11vnCMJDxrEkCeSk1YiW7ey9rimMx6a1zP2vCvZ/aR+r4Z1Hwasp/9v7iHUrx+rDjhQl9kQovj88+l11VUAVL71Fltvutn2fAD0vv56uh18MKsOmoye30Pf3vP7V1N0+umJ+tccdTRIbysxJVKi5eUx5InHWXfa6SDhyid1d93ZHvdjxT7jEvHh5t+HJ53PhqL+ADz53m/oQxUAebFq0lXkAvh44P48ue/pnLtmJldtL0XIZNzLoL/8hUBBNwA2XHqZ8dvr9ff52U/pNkUf9yl//HF2/vF+rnt2ISMG9+YK4z6a17D60MMYWRglh8ZE2bcfdjVTti/nV/P+adwT/U/f/avI72PvUa56qZ9tJOqfRd1t+7uHC9F69SK6/msEENQyr3azK2rFvFtZmDfEE+M6pPVFFdbtxnESKBkBY0+xnS4B1n4Ar/xAL04mlYcQQv+SfLaxTljIDeYmj5UQsIR9HdQ36YuWMq7LI0RCgeYENfvcByEIa4JdexsMoYVll0hem5kb3fnzmd9TNO/vnPu2a9vAbnZTMy7j9mv1qNtWuRDG8fZ9VpmllG6BzeN85H39nNft+7Xk8YWhgmQdiXqw3Bufe4fjGM/76pbTT8bUWK5ZCJsPuKyq3vt+OOrplhNk6ogSozTRlBtZ5w6771gg6VWYw5P/dzDXHjfa2GbIh0MMUwave2F8/nDlTv7y0Vr79RmFjt7xNveHHkUgiSM4bGRPRvctTNyOBN99B+6qtP/LKbTJHXM+31ISCOjKW8jkmrSZpN0s8oyQeBq6iCLH8iIDSGk8gMb2/F4wfAQMzIMexTDhLGCu/aUYfQJcfAG8caOtrF/Pu4cR2yX7Y7lb1tumJV8+AbYHe0LPCcCXADREG8gRQV0pGPsbozHyHS9CQBPURZI+x+Q+qzLyUKYkX7pUv2qPnB6YMSInDD6empXvuwaZovGovQ6j3B++/0N+vf8vvGXzUvI2JemWlybkHV40nNE9RgOrXNeXF8xzyZeyoTH3W/9azpV+5xrfJc2Prbc1XgLbfV60cQ99a6s57tZkdMmbMmmJ//XSA9gy/9+8fO3h5IzWle/ahQ+lV3EgBMOOhA2zAQgFNC6YPIQ++/ShfF4YffmOpEU+7s53aTDcN7/fsJuY0Fjz7kouMK49if5ZkzHO0z5Gxvp5GoNHB5Yy5bjTKV/zIc9dNZW9sxrY/BqUy0LoPR5Y721EBoI2Ze+64xLQkjbz3K1zOWzAYendkzTJVPjh88BcYKwQolQI8d1MlOvGqnm6AImHwvqiiuT1xaLQY5h7VPz8J2HaS9CtDxQPgYG6v9JqkUvzPZRJy9BpsSW+pbCW9FXALdY9kB8KWM9GIAgKiEQ9lIaXwvE5JqX1aDlXQ7i2gZEbXFqeEUu5O2rNTIX2BsiuRJ1VGvt8FHmq+xYUweT1WI4fmN8/uc1Lkdvks/fYpIcit1qhLoRAxlswScrSeAmjsRvXv3tSOlePSm/kDxvZM3WDlIrv6aF55JdY5HDf++El+QhPg06X4YtNFb71Xxr4kPvDf4PNn7nkx3x3rPfSOE8jTmOwm0edli05SXdKtWZXq9aGUUhp6/FmiowocinlJVLK/lLKkJRykJTyiUyU61FRmxTb4ZgvqnN7pF5PImQ+CObD2W8ijDrBdT8ESWV4x9Q7OG/Meb5VCpLdbqdFbj9OsnDHAmaXzkk8wgGPQzWRtMo8y5IORdRcbNcqPbbBMyue8XxGBFBatdm/XOc56ShJ3K+0JjRePVvPsX3/MfcztZ8Rty20xPHl9eVeQqR+tKXjr0P+VPe1RTN7XedIorE4p03sx4nj+jB+QBEbfnd64l9AE1x7zEieu2qqf31NiTHIQ7lZyjKNkJeuOZRpU/VgiRW/PiUhwyHDSxBSEkyh0X4eNKJtNszxvFcF1Hr2wAJSEpdNqUrjnMN/Qo1DkVsbpIeOfYhjBh/TRFnNJ8t85D6+wGzFvIyP79dnjhk/eOL6Yg2Q2113uVgtdR+fuvVlEUIDQ1m7LEPHZy9FXpKrW0ZCGta9sCoup49RELDutxVl6XX4KpzmWeRJZeE+obS61FJHsp4ZG2a4ZBPYXSvJ58phKbseN2953z//fUYW63HGgwsHc/wQY0DU4iP/tPSThHzJHpGf28nRY0sOEjmseefxya8jioYDNM8KtFnCAikldZEYucGA9/2w+tE9n7Um6gtbfMxDDnXIYS8vpAkGFuXZtpmfwwGNWCyNHoFTWVt9/Da3kmmRx4ibqtLrWqxlHXA5s/PzHPXJxLNljpFkmqxS5K2y6DohCcWxxJiRGE8OLAL6w7VrjT4706rgbYo8qbCsFrmp4G3qzPHwCqt+cNzTK/dNZkQ8uN8Ujhp0lF2feCjyJv28Xi+55XvKX9Vq6SUu363IX1z1P6PI5H10DQJb6pV4WLRJDZtsRG3yusW78aAb6Z3f277RbCAsFtrU/lOTdTXl507DR451NNvlOhPkaHrc9qjiUW6h/bBEhphKrj4SJzcc8LkfAsuP4pLF8RS62HPYD5NfApY4c0eDom/yv1fFecFkr9DpQnMSj8DrP4IZdyIaLAuYeNQZQJJsHzwKE9bBXB9rxHwG2sirkGWDncbfLqLIEy9yIAeIulwoEqBsJci+DgWffGkS0SlA91icyeG+wI7k8Zb33KXIzY+J/5J8tdWYUGMqbacF6VLk0kdZWs7xG6xO4/e0KW2n9Wfh0y2fcjZw/Uc/pry74D6zNr9eSdxjn+U+m42oXVy7RZ4fzOfKCVd6CW2coL/EATRyNTNQ3mlVW/1c2D+7FDn238LHx68rGH1ft1A30sdhlUpJg2GRe94Pq2yeilRQLYoA73zzsQO/ba878TFpydrr9FbkOUENrzS5SQPIIfMiYyJ6tK9ll6MRAwIyTiyuEXDJYT3O8W5akVIpchtdzCJPXIcW0v/GGuDTP8OQncljdnwF2BW53RJNWuoSQT+RYxQtEi+8n0VuPr198vogHGPtsbi+M0iOwwLE3b0WAqEHmQHw4aoyVryxDClh0JelHA6c+KdZvHZUN1Nkx33Q/8Srx0B+M6aUp3gppLDred974CGIK2TSpwdhEg74zFY0MVwrQREkLmPJIpz31Fq3p3wkj/FVKI7vRrkXjr2QSDzCv5f/O7Ws4Iha0f/WR2PkhrS07oe+zb6/UeSxnV70w2N6eijXvc1ZkEcdti1mr9Dg3L/NZWXJVvJCAU5dtYKrrMd6PTaerhX9T4AYcUQTijw1wvPdzRxZ5VpJ0kUUecKUHqD/lejKcMETie+cfK/LhZLoxYLLgg+YSbNMK1ri7Xu2WHX98x3hWFKSG9LjykU8j4SbxuthN8oKB5L7l26p4sWFpby8qJQFGysSh0WiphLzVgSxOn0Q6+B+TSwu4LRQ7ZcF6K6Of5/+jHEc/uMEXv5ppzuoCVdQfjDfT1D9OMMaC2qBZApTpwvNyyWRhmvF6mrwuq+m4ghrYb4zwb2AiLfYdkUu43EiMeOZ8Lkf0iGjs0HSBMSaoW6k8/fy6tk5nsFu4UDidzZPnzZ1CFNH9gLgL5GzjX2CekIMq3+OYfXPUUZRogJbhInxVwNi5mCnnyJP5VqxWuRtRJYpcp8uZLZiPhS5xkw3LQB994XTfq9/P+JGOPSHSQvY5hfF5YqJA4F4smvrCjd0+C2PGngUz572LKOKRroeUHPt2Ggs7rIApcNPKhB0CwV4+JL9AfjxCWNYetfJLLnrZH5/wSTjGL17brtup1zGC2p0Yu14ulbcL80vp94BwPDiEeQGc426bZVZPuPtmnAqST8L1DjthoNucMtrlc9wrQRFkLinIrf46R0uiYQclr8uN5tfT9VikQsh0s/XblXWItk7S2mRWxt5pyxCoCGJScd56eDl7vJp9ArCAZ64YjIAr153BBt+dzq3nT6eE8b3A+D4ffQxjKeiJxMOBVh0x4l8cutxlBRY8kLYrj1ZfjQhu0/vY/AU6DEcioe699tcK+leePPILkXeVaNWYg0w9AikCMCYkxFjjWx5ZqY1hy/cNdhp3I8GBPXmrDHDgk8VtVIQyme/3vu59wExM/5Ywuw15by3fAfEwvZ6LWUhJSeN7+tRlmHdSGiMxj32J79riRl7+mOZE7C+YOkp8vEl45JlimTdZ484yyaPfoiwKUJ31Ip5rY5KHBa5GeHjxKlwQhbXCsJj8NpyrO2z0/1s86+768FymDSUd0AEkpORmsJqlSKIG89CXqjpqBVPWYxHN+oTwpdy/COhU5tquHQZPENgjc9jeukN+7TDRqFpGiXdwgwsztNnXXq6VpI93bgU7nITNQu9V/3jL73dRFZfv3Kt0HV95NFG/QFwKOYEjh9//rb5el5rl6UO70bLk2Wn48v0IWZ9t0yDK5G5zkOR+2HpRURjfhah+ZLo+zXjsTRf8HsOv8d2D/xyrBsnGdUK3BrHKapIoRisR/lsN07LCfpk+nI0oEEtkFCK9rp8FLlzAM3XIveu3iq3JjQKw4W8fe7b3H1YGvnmLb0Ts1HPMd1tXoPVLgVsbzALG3YwQtvmWVXKhUy83gU/N5m1fo+oFe0rfQ3aYMCu9oQW0CciDTvSWXniU6IR8noUmnivJFhcK0qR+1seWUqilY40QNBDkdsiAZLb75t/H7fNuc3e0mPodKslIwRBEWBo4WCzQmvldr+mY58Zj9urW5j9BhUzaXAPCsJB43D38dIWJ269yOQf00fu18Dk9JwJgGasEmMqbE1onha5p0K3KTvjo4S9jdXe98Az/DDZ+Hi5Epw9wrDmM9hpNiqGn2pX7S42VZtpapN12UPqrBUlCrL/FT4WqoeClbaGDQYVDuLsUWfz2yOSy865XC5W15kQxGOmayXgfT8s1+prLafAtsj3gAMdl+Cwjn195MYzmMIiZ+/2pIzO/VoQ4lH7PkvjYLqF/MMPmzAu2jhqJasUeZcNP4xZFTn2h5ak4nSGvekPhX17wpD64NewfibdohEu2rDEVl/is607aRctZrzcAijulkP/4jxjar63IrcO2HlFXggpU7hWHPcl6s5Xbu9+W6/f5zjr/QJWlK9w152Q2yFIQo8bO30anoRFHvCzyE1ZkjM7d9eZPSarDP7KyVaOp2vRqrwc9VssZc3yqmtC48yRZya+76zd6TjRrszMXkRuUMP/fjjdXU6jwX7KwXXJnNy2+p0zPP3cXXg8Z5Z99uod1rp0rBwqBIgARBvs+ywHRePORt5xfhOK3GzMlSKHrutaidR7u1as3VXLdou9aD8+sRGo3gK7VjortNdtURDO7rI5wCXM/4QzjtxRrI8ysirTxqjPUlnGMdHdetrR2FZjxUCrpWh9/p3deCtWpWx5gSf2muCSLXkP7HKnnf3Q+BoKhLyvyyzXsMZGF41ibPEYex0pGsGUUSvG36aSZpn3UBP+r3p5nT1tgDP8MDnYGfC9H1JKWBhTmwQAACAASURBVP0uxCJuURzH94tGGehYFMLKnMAhlIaGmyc7yrC1vJY6sD2DXsZE8iyPHqXQINZo22ctI5bCR24ziryQMtGYq/BD8O9CZi3GddSWwxfPWFwlbgvCruC9t1stcooHI/obCeyNySCu3q7VdeN4QO2KXNgeVul06RgKMfmMeliVSBoj3uGHCWUf0N0fdY36Sx63PfRu14rnAKhVKVsVrs8gnL0Bcshs+mN9FLlJuq4VTWhJN4ZNkadnkXu6gPyUl7HfPCeVIr919q3JHotZX6IOkoOdYf/wQ8rXw3MXwhs/8b6OUD4Nfe1uEz+iUp9gZr/WpGy+jav0yztjP9azR4muyL1i6JGWqBVPRY6vpf3ESU/Y76dS5JC62euCWH/0hGmcfCwbYvZFAwQk3S7H/xKGHa5PNgq6R9ITERsN1Z4vRsxUDk4RnHLZtqXuMTX6hB+ahApX+BbvSTNeCplu6B0kLTib/9mfXI/7ay8vaY2t27PWKRmPL/0HO2uc7o0W4HVfzU5BCkW+oWoDF755oescEzOiNZFrxYsti1LLFqklZ4d+zPZgkA/y/WLvIYJGAEfvzby2vf4LXjf5W+X3MY7DoyHQDNeKxz7AK7GnV91Oi3tK/ylG+Q4jLMNklyJPWB4dLEemsPlILBuTGtP4Yw8/TEx6iMd5avlTHPq8V25jw7KX6OlwwW2lVO+AewfpL4fLIjd95I6EXZhK0VFWE1al7lpJHX7o+7M6FaqHRX7HIbfz4DEP2q1rS08lES3i5V5yyW156TzGD5w+8pDm7VpJvNSGa2XtnjUW/6v+yRyLuPjNi7zls5Yj7dvdfmHnfU02YM0K2bU07Nbww2QcueN4ISBSZxPR7cKyn1Qd8Fc90bigd/1mWzkJ+f9+lN3CNatI4xmk777Qf5L7fIGuyCs2wlcvuyxyiUgZR56oG9hdv9t9QVImJ2aoqBULXUWTW65DWl5Sb9+o8Hh4jcfCouBtikII4z33UKBCIGsM66am3L5PyoRrxbRQhEg1szNF1IrZi5Ay6SN3/X7GCxMpxJOvXnJYWw43CnDBmAs4fujxDjeD9f66ZfPNfmhzrXgkiXL0jIJaEOorYfd6+2GmeJrleGPbUS8czcSnJxJH2mfeerkErPfdut3pTnDImeh1oceRp41VWQtB3OIj97wfQtiTXdlkxfA9p0/c9lBb6jA3+Pnpke7GzlpGPKYrbMf5+vUYqnDvDluZ+rVYfeQeAovEm+gbGitS9IgyQVblWumy4Yf2jR6WmLQpeHvWQhhePAJYY3etmBapn8VmG6BxW1kaursgIDTjPLui9yzLc6BJ/xMOCN+ZnQnrtGYE8aKvAXMgzBBw82cwJfmCuGY6mjJZ/1p6MBoCGffwz4v0sh+6GlCHcRUQAXj8BNi1Wl/6yyGTNWrC+YsbP6H9d/OryBmdkuhROI9PFACJ6KPmWeS28MNEHLlGnac1DETr7aI+uC/kG3WX9QJjLpJ1YeL+0SjbgroK+udX/0ykELDmYxHv3wVbbob1eSTW+lw30/sZsj7rXuM0MgbCbIwc5yYUrUDUV+hppXeFAH026Ji6xcah3u+s3yCms1emfOTg34XMVqx+M6cChqTfzdHKm1cfEILvTPwuz5/+fLKcRNFmg+DT3QTYY1iQcXc0ybDQccTLT6ckpyTZuCR0pZcil94PqXFc99wg9Y0+kQqJ7rPhsvH1wZufHX8t+73CD/XQuxSNmZ8ilN7ZD52uIE1ouhL3k9lyvKmwP754NkuvWErQmFVo60klPjvKcTQMRnMP+CgHQ8EI3OkaUmO5ZotFnhfyzn6oW+SOcQL3rQSgVkvuKLRMEHtg4QPGcZKDxCq7keEsZ8tCH0VuuRe2n9n4EovpaTCc90sIpKkKfW7lLtEzWY8Tm1HkIKHI7e90pskyRW787WKKXAKccFdym1XBm389tgcwllzzUBQJizSlRW5837HcZbHFZYBg9XG2qBWBRaE4PQA+EQPmS1TXEGXLnlrLCY7zAc10IVkuO/HZ64unRW4pNKHIhfeMSlcDZDYolpdO4n7eHD0jfyVpHqDZjreeo2kBm8ulueGHdr+wo3pjf7PcKjgaamH1kadImlXnSFF706rk4sS9x3jW46V8onHTeDE46R69jHMetVfpPNFxLzyzSMo4CI8QSmsvGCCvGO6qRHzvfcyNibFyX0Xuo6BjZk9QhR8m8fEFZi+W6xh+tL7FprDtrhWnJWicYFMsVsvOqQhc52HZ7XhAG2NxQgHL4JbDIndPxrA+oO6XqD4SY3dNo7Pq5DXrJeMcFEuWlsKNYt1rc63oZwbQvN1yQrCzZgdvrX/TLrbVteXjj7VifTnjcQ85LVaoM++NueSet0Xu6Jl5KPKmsh/i/K0MZq9xR3+8s+Edoz5rHSDjkoAmLM9Divsx8ni3LDneq+JoHmZsozM8xNpoJbYFPWTA0ag5LQ30sSIPH7nr+dUCrjK2id4e5SaLj8ZifP61x0Dn1zONMpVrxYKP5ZGtJF5UAeEC+zZwKHJIWIzW/VbFD26L1Nci95HFIBKNEw5YFIHANaM0WZTTMnQro6PH9EoumuvrqpCA5p12N5U/3PbZ8oyYVq+wLELsuAcV9Xt4Zvkz9n3Wno+z92GV16jKqrtH/GK6RSRDwWpJi9ylsI19Zw4/IymU4xhnili7Re6x3XK+RLpCD3dW13P5E5/j5Kezfpqsx9LQxOPSmNWJ//3ooSd4k6NOdMsitOTPYtWXLgmgsi7CqlDIYrMlGxS9ApCDp7iuNTmXwf8ZJBbX77fTcBEkom7sjVjShPh8r54QrrSijvpIzNZgxyVMX7KNC/8+l/K99oHd7bONxSs0yzPVBmTVYCeL9BdOvPBt2DU3uX3EsVBgLL5gi+4QNgXovV+49yNh/uOW8o+B3vvYj7f+2Mb6mPZ9qf5qejXP/QHQfW/SVORe/syEMnVvt/nUrVivy8vl4RV5YCESixMKWgaAbPs9LBrfsvTPK7ZWYeRGZNwv36UhmIxyOHbzYn5mluvlWqmv9FHauLdZrVNTkSOQuAOBhRA2d5T3ajS4fw9HzygejyUS7/4w8Cpwul0myxR9rzJytDAItxWY/P2w/7U+r37KyzxM2mPIt1TUsam8liZJvCJ6+lszP72+yeN+5BqryHtdh4/hpXn8jP9Z9jZPDurPfaW7GG45127hF3k884575dmziXnKJ4SASmOt17weUGF/Dq6O3kIO+j379j/ns6VgQ+LcXgVh7t1dB0X694gjMVy/Da9TwYCEa6WtLPKsUuQyxwhPK/0MrGMr25dAuJvxI1pfaKv/Uya3pdxPsnU2WT8TtnxhL8P1N+6/zweBJWQr3zKYYnU1WI7Gc3PyeCFhbPFoYGVCwetRGT7hh85yLJ8jMUlQMzSB0SgkqvfomvonzdK/3Hb6OB5/xJjw43RNJK5Qd62Yg7vSy/qznZjipbA0ZMLiWhFeitIhq60BdPQ+PM5KLhkG/Cz0AvAP+37N4yIsjYYmNBps6Yed8vif69jh+Ka7XqyK/OE/3E6IKHCSd9mgGw6WxiIeJ6nIPe6H3mAYbgsP2fwiZgIe70ZE0xNbrQ2FGY5P4yrjPsaD431xfowbg50u95CA/F7Abug3EbZvtJ1YnBek3ph7Z60hHNQ4ed9+yFeN1y1YyQelb3pea1tnP8wqRc4+ZwBfwk/XQs+ebVuX+WN7+QRbWp5Vwcs4fDIbZl4HV76dPM6qyB0+cnu0AglL3aF+7OVI9Kxu5jbr/kQ5zpOTPvKE0na6fJxlNeHCGdwjj1tOHkvZ8umsvOdUtJxkoqnKN2Hrwuc4cGAuM2LxhCiFcagOQJ6U+qy7hLjS9td1rwwZEt4LX9eKLrewfrfInPit/HocRlUzFy3jRDxIGOTJiIika8GiyNGIJX4jaz2Oa3O4FoW5z8sKTVyftCXM+l1I72l+Ep/AWRWVPFFc5CG35ZqFQMo4OSHNvS8hptAXDteC3rIIAbklcNR34dMHEpudFvmnWz/lmdX6oObC3Bz9nnop8njM81r9skgmx4r0wU6Xe0gIEo4eLWTrjQBcf/woZn+xARbCzJ8eS3joUFvV6/5RSGHvIvKGPMHjy5IzdD/bsDn5hLZx1Ep2KXK/B7Yt8LV6WlGes6wcYw1L5wNo+uakRWE5LO/EeVY3j4RjBh4NrCQxE9Q6NT2FtefsLtdHYnr+adNnaDZqAJVbYM0eeGEHbF8Ka6rZWB/gvbev4WhHWU0vCEDixSncNpcRfYOA3vO6eXc5DUJwXG0dkUcOAdM543I1kCjbaxUdDeHbKxG2coRL5nTCDw/a9h/vnoPjeoXlHGH5EBCCqDH71vPe2XqRDivVR3klK/Ee7Pww52Zie3Ap8n8v/zfHeYQf5gYtqYU9GwxTkXsoKiFgwCQ47nY+/mIJoPfMnD7y78/4fuLzqnAYiFkuynwnABlz327TmMCj52VT5HooqrBremTvsdAvDA19EayzVsmg4jwumjyIrf/Dfe3G+UEBWmCvbXO+TDr02tq1kpHBTiHEKUKIVUKItUKIWzNRZhMVtnkV7YNFYXv4duOmv82qTF1FJLf/aP/rOGnoia7teOVSTjz4dlkMgYjWVfHHypv16f1G4yJq9IkaNZqgoaGCipWvw+51EI9QLwTPVhmJl966UZ9QcVcR/EtfJ5EnTgFLalz7JYjkZQL9hT76nyMll1Tv1dsjD6XtPQBquR6bIvfqLfhEjNgaH9z33dGglgj7C1xvTnxKjtgB8Pxpz3HVhO+56gqgETMn1HgqIHdvI/G3vgKMGbqevutooz6pywOvoMTfz/89dZE6W+8kFo9TkGvYfD73Y1b9diYO6sXvPrsXgCP+eyQTn57I7XNuZ2+0hrlb5zHx6YnUa8lVilIpH9eqVk1a5PgbC+bneBw07/DD7dFayq94FRlIRsRYG3TbEn0uYUHSiAh6jD20k/HZaotcCBEAHgFOBEqB+UKI16WUy1tbtpO1O6spBA68ewZVOd3oU5jDFYcNS+xPzvgzvie2J8tI+l/tx5gb/vxhMqnRMWN7M7affdq4ba1Kb8PSc7/TTygElKzezFTg4r/PZXWPUl4FKmojRKr0l/re6St4ec1bzHBGrVi70xb+8/kmzp3smA7tZwDI5CQgKaEuEre9WPeXX8cAuZ115b1h2SoISJC6T79GaCzols8jQw3LeVGMvnukd7SJlQ/vAbonK3XcQCm9B8DcsrsVufT6sQ00NFIlzfK07rA3sM3h3rtuYES/nkzdUWNrUAv/fgxiSx71dLeVK+oqkGs/AMJ6SuOGan3Ke8RwJ738fdg2FTn9NaAE/nYE9IhCQz/kF8/CjieAXjD3L1ByBYnxmvoKaNiOqA3CF8/qqQ7S4OPNszia4Ynv0WicFblXM/Fp+NOeEAPyxvDnRX+mMdbIOaPOIRqPUh5rwKtpeG3daxy0J4owlrgvDySV3djGRj7L80445v5NLB/iPr9lE7/XdK2BldGtfFsOsz170XiUFeWr+M4Lx/CuPMv1XP74w+vJr4drgVNfOpWdPez776+IsiWwHu+m0fmMd17XyhRgrZRyPYAQ4j/A2UDGFXn9nDkUkjAw2VndwB/eXZXpahLMXFXGp+vKPccYnQrSOfvS3ng4jjV2TizbwlTg5I2fc/BOPXf4X2etY/rGWbwMTN65im6Reqp27eGt+aWsiyzhh8BxiyUTN+hlzFq9ixXTV3A+0HfNEl64YyunAN/710JODe3hEAQ1O41B1buK+GjwtURFkKFbvyJWH2TnkkIaq0LkaStpQE/+VPPa4xQMqGcnhcQaAoiewyA3B1m6jotmxehWjw0JFNfAWfMsL5i52ELRAKCBivX5RGqMB/2e3nZzbFMuUMKExQH6dxMUxQN0D8Uors1lZ6N+TqwxeUJk5QIgkPgL8OR3b+aISSPYtXo9PYGaxhjU6e6KMYtrCEQ2AnrUxs7yCIW5IUKxOEU1cPyXutyX//NzvnizgjF7NvEQ8Oyv/86E8o2sL4rwy1vfStQvZJzpwMQNcYIxyc4Ke2N/LS/DCqjdGaZOhpnzyt8ZAexeXUBjlfHK3TsQcnOgvpihWwU9osa9eeN6WGoMtpeFgV5ULKmkZt10Gqvda27W7QoTazDuzcrpsPvV5M7yXhREg5w1W7LzzVuMjXZZL9rkntU7uEyytnEvx9/6Fi9UNVBUXcZFs/Tj8vdE+TK0hH8sXQbA08uf5q/1UUZsh4tmxRi11V7W8KLhDCyso25rKRfNihFjGWZ6sCNqNRryvXPUh81JwA6lumt1NxpjWz1dg7Hdu6l69z2P8/TPGxY3El29g8VrX6akIcQHmz4gKILkNVYysFJy0awY9buXWwvV5VwmCRnyeK0fLY17Zt4jk50VhcmXf/GzQDd23fUTYsOHUTJ+X8/rbimZUOQDgc2W76XAIc6DhBBXA1cDDBkypEUVjRo/nJrK7Sz4zVmIUNimPE2L1zle5VwKzXZMB7toGjdvZunpT3NM6RcARLQApQV9OGLCILbM7MV+ZWvZr2wtCMGG7v0IDxhATTjAEcv1ByYiAry3N4dP5pcyubAv48u/Znz519QGc9iRX8JH1Y0coknqdoXJKdKjIo7d/AgA24qKqNidT/kKPeyx+5A6wt2jVG/Oo6EiREOl8WiIADlHnYfIy0P77D6+NVe/5xOmnMaLZ17FmB5jKKt8mLJHH+XUhRKRk0P4uldg6lQAQps2oX14PpUb9fPC3SMucytUEEME44xfZirrAPshEeRQjnv1nWi9ZvsLcPiSj4gunkUxUB3K4/LnVlEd3szjuUXsv6ESaGRrt55c9fA84saEj4tLNS5vgKO+ktQEc9mZr+fy2JVbRHUojyO26Pk1NgzuZ6tfIvi6ez/2Kd3OPqWScrwnvADkFEc5Km8eW4I9qFinp24NF0YRmoT9LyV39hwGbKpmwE4NEYgTLkimMQjlx9BCcao2JRV4IBwjmGfkPimOULcrTP2eEFooTvC4q+HgM3Q/sBYgt+oJ8t/+iFPm4Svjt3y6bPP2KaNw3K189HUJZ9RX8y1LtO/mPsnPd0y9g9wZz1GycBVDyvQImdCggcz9zluIsG5AbF9yN7tX/ifx7Jho5Njql0a8pPl4NAbgR2t+y5Knf8eIbZK7QhBf1w1BGfkH2HOb54wZQ9U777J35kwCvXsRKEkuiB0eOoSGkODEL5N1LR4e5d6P9Nzp1xbEOHIjfGuupI6VLB4uOPfpiXSvkfwpDw5ZpZ8X6N2LGd99h0BBN1vdW5bcTMX06a7rM++50CT5fRrZuzWXxuog0//3BtPuzKwiF6019YUQFwAnSym/Z3y/HJgipfyR3zmTJ0+WCxYsaFW9XYVILM7o2/Sola/vPc3WuIy69y5yCzfw1XVPJbbd+OGtzNj8Fj3Cffjgwhn6bDvgHx+v5zfTV/CDo0fys5PH0hiLIwREfj2AAlFP6fGPMPDQCxHxCMQixLZ8SeCZsz1l+mHkBv4aMqILLEmgZpfO5ocf/BCApVcstZ0z8emJntvTRkp+8OxRVNXsYHA0yvSCbty7cxdn1KQR8wzUyBz2bXgy8X3KsBJOm9iPf8z+mj0l9yCjhdRtutp2zgnj+vAZeqKm106bS2VdhIZonL31UfJzAvQpzGVYz3xiUl80IzF9XEp21zRyxpt6Y7X06034ce3QNxk3tB8Pv/cVIaJ89bsLXMdc8Pp59Kup4OFzXtTjmK1Ub4dtS2BMinDBFNzxr8OZF9nNjM1boWSEK0PjxOHNM6q+uPwLPdujg3R+/7NfPZv1lcn6l369iSkD9qUuR19QZNb5Cznw1zMoHNf0MNt+vfZj+e7lDCoYxLiScezTc59EvhYrfzz6j0TiEX4+++e27U+c9ATdc7oTi8dYX7meX8z5RZN1prq2WDzGqDufRYgo3UY+QLd4nHkbS+3HBPMIROuovmw6haMPb7I+L4QQC6WUk53bM2GRlwKDLd8HAVt9jlU4CAU0NvzudM99eQPcPs1gQLfGeuZ3TyhxgCsPH0ZBbpALJw9G0wS5htW5R+tOgaynoe8kRDAMRux6YNQxRKVG0Fi5nusWQq9RAPwVgLtcdQ/prr/0vfN6u/adMeIMvtz5ZRpX7IMQyL7jqarsBzsWAh4uqcN+jDjxV+7BibdvJbzgX8z+8bEMLrEvWHDC+L6c+noZ5JTx5A/zOXbIsbb9E5/W/47o7W9Ve70khbl+y7vB+ng/Rtytu/weMbY1RuM8/NFa4nGJpjndAgHiffZxK3GAwn76vxYSH3402urX4Io3YOjhcHdJ0yehK7qinCIGFw7mkOf0DvYxg47xVOIAPwwPZGjFtpRl9i/ob1PkAL2rB7EpZwU/m/wzSrqFWfnrUzj4uaQiH1QwiDsPu5OqhipumnVTYvuSXfo6tBuqNrChagNvb3gbL26edbNrm1Mhdw93t33vm9+Xnnk9WV6edLN8eMGHKa8toAUoDvVjT50+8D2m0TJWZRhDgY1z4clTKKxaA7RMkfuRCUU+HxgthBgObAEuBi7NQLkKD04bcRpvb3ibGw66wbY9GNC4ZIrbuooZ06OFxwDRAjmWqcKINDGUeCr8XmLQU7nGpLe/M13iMk6P/FwahNsXvPnSWQwetZ/36H9ud0KxGgYXu90wg3okFfv1H13fKvl82fdbsOyVxNf64Se4DskLB5ESGqJxfck0CwERcK9knyHiSETxYBh+FADnFTzDiRX/5QfBN1Ked1DfgwgYxsDth9zOPZ/dw0PHPeR7/DXBfhAr990PuoJ0Mrh8NKsaJ3DZ+MsAfeLRrItmUVFfwYjiEbZjlw5bmrD80+HU4ady9cSrCWpBznz1TN/jzOuc0HMCz5/xfNrleyJzqN34PR7mTve+QQfDSb/RG9QM02pFLqWMCiGuA95FH3n6p5RyWaslU3hirkbjtCL8iJsj6R5Ktk/3PNjr2uxLUOiPi1fy/IAWIOaRDrc5mLMQ4x6BaYPH7O9/opneIFILOT6LU7SEuzwmy1gYN6AfG0IhV53jT/qu69iwke6g0UOR29byTMELCzbzsxeXuLav++1pBLxmj6I3jtbsh+WygN3Sv/dhYio3gIv2uYiL9rkoxdHok85SNPQAPXLsPY7tsgfz4hOJVhbaZp+W5JZQkuvdc1i6rRL2uxhO+30TV2Dngws+oPyxoxjn0cgOKBjAbYfcxnFDjmtWmU7MtyJWO4qiXP3bjN7/l5wsFgjCYde1qg4/MhJHLqWcLqUcI6UcKaX8TSbKVCSxjmOU1+tWj99KJE4eyPsRC+JjaOzuttaHXPIgAO8HjkirLPPl9hpXyYhFThwhBI0BYzAp3bHokGHBO1MrODh84OHMv2w+X17+JV9c/gWLpjWxzmQTrMgJU6eJZEMCejd6oHuRYVORN8Tc9ygdRV5dH/FU4gAjLYm6nDin6EdibRP+lpj+noIeuXZFPrXhESooZHSfphuWBFoIzHQGzaBPfh/GRfxlvHifi+mT38dzX2s4ccp+GS/Ti+ya2fkNJSZjCWv4tjm3ATBv6zwO6HNAk+cuC+7L+Y138Y5zKS4gOHAS08/4nP1HDvY4042pELyUTqZcK5rQiAl//7MnYUPxN9akPOz2Q25veqFkLy59AXKLoWggICCcD2s/gEW/0veH8uEHcyDP3/+cE0ha5E7SUeSrd1T77rvy8GG++8zG0aQxlrqep055ior6Cg8B3oXactjfx2u6+bMmG9Lm5kX3LiQEseYrciA5Rb+NuP640dz9piPquo1cZk6UIs8CKhoq6JXXy7bts+2fcQ3XNHmuaQn6JS46bfLYtOUIa3pj0Leb29eZSddKs23GNC3ygQUD0y/TvJa+E2DMye79PS1jCuF8PdlSCqyuFSea0JpsBFdu1xX5nFuOTfj9Y3HJyF9MpyjPv+GLy7gt10okFqfCEor41uatnD54QOL7QX0P8i7ouQv1v36KvDa1fxz059iLm05K/xnULXKflaaaQhprdrYR3zliOGdOGsDBv3k/ubF/CpdgBsmyfORdk4ZYA+V1/i/CsS8c69qWH8z3ONLNo9MO5LpjRzGmbzO6rz4UhAv4w1F/4NETHnXty5RFbk0CJtP1rYQMizySOlSxWfMGTOt+ojtcELC7U0LdvI+xHm66VjwUeUBrerBzY3ktOUGNgcWWmHJNEAoI6iP+58ZlHClFIm1AJBqnemzS3z0k2kKl2AKmjZvmuf2oMb08t3sSCLbcIjem6LcHEWnU039Su9SnFHkn4Jr3r+GYF45JeczEpydy8ZsXJ753S0N5gB61cfPJYzM2+emU4ae4egdgWOQZ8JE7F0FICzO3uSVDYqsxGwWf1W0SvQCAUNPumpwUFnlANN2bKatuoFdBjut3zA0FkrldPIjF46zZWcM+d+ir/zTG4gztncEB4WZQnFvsuT0/3AzHQCAMscamj/OijV0rVuKJJFmteyfSRSnyTsD87fPTOm5ZeTIYKD+UnkXeXgRFMCOuFSEE1UF90Emk62Qx0wHE2kCR+zWYQUuoo8f4g5OEa8XDR52Oa2XX3gZ6FbrDK3NCUBPxHxuoj0YwR40v/cc8IjHpq/h75rZxauhM0GrXSvvM5p4lDtY/tFPDoRR5lpKua6W90IRGVLaum276c3vm/YTLKqs5ZW96szqTFrm3pXbfkfdx0dgmwuecNBp1h33us1V5p6PIUwx2BkWwSddKWXUDvQvc9cR6P8E7e93hjiaRWCyRIOTTdbr77qlPN3geO/OimSllaJKeo1t3fjq0yrXSdGRNpvil9iO4YXny2WxjlCLPEpZesdQ2Iy0UaGZkRxtjhia2ZmKL6SMPigJu3b2HtK+wCYv8tBGncfvU2z33nTPqHM+JKm1mkfsMdm7Zu8UzrDMSj1BWs4e1O/fSq8Aj70zOipT1NkRjZPQ1f+oM/33la5o8/Vsjzmpd/anCpjH74QAAFU9JREFUD58+E+a4p+knaAfXijnw/JOTJxhRTu2DUuRZwN2H3e3aZk4M6iyY4ZGtca9I7KvZpF+5qcibb6n5zqo0Bzv9LHLr/Q+6FayTVIOdS3ctpaqxitfXve7ad+vHt3Lci0cRjUtOHO/R4DSJtKXsu/bYkcz66THEjm46t4gnG2a37DyDgYWDWnW+7iP3+Z2//hjev8v/3DaOWgH9d97wu9O52GOWdVuiFHkWcOSgIxOfTzQWjjhrZCstmwxjDlK2xr1iWuQAj0dPTf9Es3fSgsFO32ibhEXup8gtr04avaOcFD7ysjp9YYjbP7mdr3Z9RVzGicVjxOIx3ttopGVFcvy45ivyaFxfZee5qw5hw+9O56cn78PQnt3Qjvhxs8vKBK3Oxy0EbPxETyTWvIqNVYzax7XS3qg48k6EOSEG7AOgVuv7/qPv16ddd7IH0szD0hrXisSYoi/hN9HLOODgozjoi5/DDz9LfWIrBjt9J+MkfORpRAcF0rDIA/rv1ZAiwgTgkrcu8dx++GiPhFppEJdxJCLhozcRaUTa+NJE6oJUeOXzbhZmj+DvR6Y+zlWxudRf53pvMoWyyDsREYvvr6qhKvG5KCf54gghOp0Sh+SsvWhLIwqwTwiSaJQOPRtuL4M++zRRueGjbolrxS9s0owEaSI6aGRjY1o+cnPx4qZmVvqRG2rZAF9MxkGKhGvnG4vp8uuE704mUBZ5J6KtMuC1B2ZPojWx5HEZRyCYMKA7byzeyqAeeemN+rcijlwTGvH6Sn8r0y+OHBgYiTKuMZKWjKmiVkxGFI3gtXNes2175MtH+Nviv5Gb0zKXhP5MCVvK44wRyGlBLyhD4X+n/RGmXJX8Hm3UV57ywxyIzeJ3LBVKkXci2mo9v/YglWtl9Z7VzNs6j2/v++2UZZiupauOHMGRo3szfkB6GR6TFnnzJ4oE6ipJ+WrnpJZBSJoVtRJJYZE/f7o7heqgAn1wMC+UWgENM5aiu2jyYCKxODurG5izdhf5Q6uBUOsscudzaVlsBIBN8+CfHmkMmuCRSw9kv0EtdNPsf5n9e1ON6aOH6X/nPQpH/6xldXZilCLvRNRGaxMTfepj9U0c3blI5Vo5//XzkcgmFblEnxCkaSJ9JQ6tUuRatIGo3ySRPuNTTiCRGJOW0lDkoTQscq+QUnN8JCecXiM/a3UZoaBg824z74weteL0kTeLpqzYkhGp9/tw+n79W3QeYJ9Za7L/NFj/UerzmsjHk60oRd6JuP2T2/nbCX8DYHP15iaO7lykcq2km3LXOtjbLITQwwFbYpHHIrpF/r0PYZBPwigfEgN3aSly/eBGjzSyvzrsVzz51ZOeIaUfbpoJwKbILMCdS9vk/w4bxq2n7kNuKOkDrmuMMflfv0VGerTOIreOPZx8r3t/QR99hanidgi5+/7HsOkz7wZWC0DVltTnR5UiV7Qxn2z5JPH5rfVvpTiy82G6VkqrS32zDG6u2szg7v4pc52Z+ponQI7vzM5UaDJGTIi08qU40S1y0oojF0K3ir1cK+eOPpdzR5/red7man3dx4qo/7qgABdOHmRT4gB54QBaqAotVNU6i9wchD/iBpjqk3EzjRWmIP1G3Zf+k/wTUVWnXmquK/MNH8ruvKTKn9EZMV0r33vve77HVDZW+u6DZK6VlgkQgmUv64OWXv8avJdCChhL4MXTUMYueTFeoDRn2YYCIqVrxYvzRlwBwKQeR6c8rndhahlCrbHItxgLcMx5oNW5Stp0QL9kpP73jR8no1S+ISiLvIOpbLArt+asSdiZiFuGDP2uoanQxDhx37zpTVK3J/X+lW/CpItdm5/Z9TkAu2MNWHM6bq/Zzpvr3+S7E77r27gkLPI04shBV6apBjs9xd69EoCPy54HvuN73OLdn3JCob/rJZVFflxNLR92SxFmWVnqv68zYa6buvAp/Z8Xvca0lzTtirLIO5hUeciziXTix5uyxmLxWNvlkPFJoVplhM9ta7QvenDTzJt4aNFDfF31tW+RSUWeXmIkP9dKKvrm6gOJY4pSLxn24abUq7ybPnovHty5iy+/TuG6aWzGwq5N0GrXSir2bm/6mP0ubLv6OxBlkXcwEUcCoKVXLEVKyX7/ap+1/jKFNceKNbkXJC30pl7imIy13EducmeFvfu/9Ut47OgmU5++svE9Jg5Krm5e1ahPyEoVEioRujYPpPcahQKaZ66VVBQFByTOTcUb69/gt0f+1rbN+pt49Sq+iI/iAG0tAkg5TabBf5m55rKjZkfGykqJM0QyMU+gfdLYtjdKkXcwXpZsphaBaE/MaJXzRp/n2vfbI37LL+b8IjEg6odzoeAW4bx35ko+Tawe9L+1L/O/tS97FJdG+GGa5AS1Zi9+XFajNyhztr8D/CHlsc11y82IHcQB2tqmD6w2LN0MJGp7bd1rTR/UUkadCGtnwAm/ars6OinKtdLBWC3yF898sQMlaR2m28RLWffO12fcNTYRHhiTsdYrcieJhZlb5h5I5bOXonn2XSig0Rh1D8KV723gna+8Iy7qGpL3Y3HZ4mbU1jSPxs60b/Drfew1rOiClmRfbEemvQg/WgRH/MT/mEGT20+edkRZ5B3MAwuT+ZPHljRjEdpOhmmReyliMz76mvevYcG0BZ7nR+IRqhqrWq7I79iFp1o109A2elvkQQRRw6ouCBUQl3Fqo8ljm0rL2xxpQ0HhaZEfdM/7rm13nDGegIBHP9pMgbFew7Tp01xuKyvOfVWNVRz+/OE+R+v5bGws+a/ngDCr3tb/7nuOb1mdhp4jvbcLTZ/YNKyZybayBKXIO5hFOxel3N/iKI52xlR4AY/scqaV3pAiL8eZr+jWoXPMIG38BknNhSEavcM5R2v5rIjr++ZeOjexfcbGGdw480abUnfS3EC6r7ZUEdTS8zf/+s3l+gctvYiY/Xq7x1TCWjNXp3nl+96K3PxNCvs1r7zOxFl/gQ/vafN85B1FqxS5EOIC4C5gHDBFSultbmWIstoytuzdwv599m/LahQtwMzQaLpRrFgHMP1mb27Zq8/I+++q//qu5tMiAkEI5iazGTo4VuvOingNY3rYw9JmbJgBwGXTL/O1gisCAV4t6EZzpI3GZSIvipMXf3AoJd3CdMsJkhsMEJOS0j17ueyD5MIi1Y3VFIb1xZNX71md2H7BmAtc5Xk1qlbyQh77tyyC+koYeax7X34zVrvvbBxwmf6vi9Jai/wr4Fzg7xmQpUmO+99xntunjZvGMYOPQSKRUurREVKPkjC3gf59V90u7vz0TgB65fViV90uW1mje4zm5sk3J1a8aQ2le0v59bxfE41HeejYh1i5eyWPLn40rXN75/WmrK6MId3bd6WRlnLmyDMRQnDa8NNc+2qiSSU66V8+s/LaEqHB+lmeu75fuprC3ADnXfaMbfvy3csTn1MNIjZombPwJg8rcW0r6Wbfdtjzh3me2ye/j2tbU+mOw0EN11jtPwwFfusmyHUktOqWxYq8i9MqbSWlXAEdH2XxzIpneGbFM00f6MCpxAHW7FnD92d8PxNi2fjxR81bkeXwgYfz6tpX+b99/y/jsrQFmtB8Vy2q8XFrtBuRWtj2pWeqWg2YVgcE7UmYtlQ3kbOjBYQDGo2xOF/fe5rtnRl261vcdGLrJqqMKnZPkW9qvOF/PzgU/OyK33kYEHnuhkbROegSPvIrxl/B0YOPRiAQQtj+ArbPFQ0VXPvBtb5lje85nhsPujEj0RNzt87lH0v/AcAtB9/CsyuepXRverPkeuToK8KY3ehsZnjx8I4Wodkc0PcA2ypNmeD9G49m5fYql+Gz4Xent7psL4u8Kcb0beazlec9qUrR8TSpyIUQ7wNeoxy3SSnTDgoVQlwNXA0wZEjL3AWLpi2iOlJNSW7rLINUI/+Z5OB+B3P9gdcnvk8bP811jNltd67kfu0B1zKocFBijc5sZkRRMs3pe+e9R/8Cd/rSNk1NcGeFHlpnKlAhkqF2xsILTr416lsJRe71vLRE3iE98xnSM/WKQ14M7T6UjVUbAcgJ5CQif15c/SK/mps6ZnpS70kcOuDQZteZRJDwv7QwXa2i7WlSkUsp/RM4NAMp5WPAYwCTJ09u0TzdUCBESaBrdu9uPOhG2/ecQA4Xju0604lfOesVXlrzEv26dUDkgxDuiUIJpe7tR84Nps6GePHYi/nPqv9kQromefNbb9IYa+TmWTfzy0N/mdh+7uhzm1Tkz5zWTJfj2X+FLQvgDCMstrEWfms0vBlwoQa1YKuWA1R40zVjcbIQr2iPrsSoHqO4ZcotvuMpU/tPbWeJUrN/79SRUe3dUwoHwvz5uD/TKy854JjxyVP5PfXIjjOScxsScfgZ4pxRWRCLnoW06kkQQnxLCFEKHAq8JYR4NzNifXN445w3OH7I8Rzc7+COFqVD6WzL3DXVsA4rGgZgU6wdweXjL+fxkx5veQH7nJH8XDig9QI1QVMhkYqW0dqolVeAVzIkyzeSYUXDePDYBztajA4nKrOru21awx3dAP3s4FauP5nfM/n54O96HzPuTFjxRuvqUbQpXSJqRZH9FIY6X3TOJftc4hnWB9A9rK8petV+V3nuzxr2PQcWPa1/nnyl9zHnPwUpZuUqOh6lyBWdgpHFI5lZOrOjxbDxi0N+4bsvHAi3W/RTmzLSe5KdjUAw7VS9io5BDXYqOgVTB+iDnVP6TelgSRSK7EMpckWnIluShCkUnQmlyBUKhSLLUYpcoVDAgAM6WgJFK1AjGIpOgZkrZFKfDsiO+E3njvKMzNpUdBxKkSs6BSOKRvDa2a8xtPvQjhblm4eKSMl61C+o6DSMKFZJmbo6ajC7bVA+coVCochylCJXKBTthnQtSaTIBEqRKxQKRZajFLlCoWg3lI+8bVCKXKFQKLIcpcgVCoUiy1GKXKFQtBt+K0QpWodS5AqFQpHlKEWuUCgUWY5S5AqFQpHlKEWuUCgUWY5S5AqFQpHlKEWuUCgUWY5S5AqFQpHlKEWuUCjaDTVFv21QilyhUCiynFYpciHEH4QQK4UQS4QQrwghijMlmEKh6HqoNLZtQ2st8hnABCnlfsBq4OetF0mhUCgUzaFVilxK+Z6UMmp8nQcMar1ICoWiq6J85G1DJn3k3wHe9tsphLhaCLFACLGgrKwsg9UqFArFN5smF18WQrwP9PPYdZuU8jXjmNuAKPCsXzlSyseAxwAmT56sHGUKhUKRIZpU5FLKE1LtF0JcAZwBHC+lVApaoVAo2pkmFXkqhBCnALcAR0spazMjkkKh6KqofORtQ2t95H8BCoEZQogvhRB/y4BMCoVCoWgGrbLIpZSjMiWIQqFQKFqGmtmpUCgUWY5S5AqFQpHlKEWuUCgUWY5S5AqFQpHlKEWuUCjaDTVFv21QilyhUCiyHKXIFQqFIstRilyhULQ7Jw87uaNF6FIoRa5QKNqdSb0ndbQIXQqlyBUKhSLLUYpcoVAoshylyBUKRbujMl5nFqXIFYr/b+fsQqwowzj+e1t3NdNq/ShkjdSgCw2xbZGi8KYLPwjsRuhOKkjIoJIujIWwy4wgIigKBItI+4RugkSKgiKzMtsIc/2IzMUt7POmz6eL91n2nMOZ056zZ2feV/4/GOY9z5k585tnZp4z531nV4jMUSEXQojMUSEXQpRGX08fAD0X9VRscmExrf9HLoQQ7bBt9TbMjC3Xbqla5YJChVwIURpze+eyY2hH1RoXHOpaEUKIzFEhF0KIzFEhF0KIzFEhF0KIzFEhF0KIzFEhF0KIzFEhF0KIzFEhF0KIzAlV/BeyEMIPwLdN3loE/FiyTqfk5Ap5+ebkCnn55uQK8m3kajNb3BispJAXEUI4bGZDVXtMhZxcIS/fnFwhL9+cXEG+U0VdK0IIkTkq5EIIkTmpFfLnqhZog5xcIS/fnFwhL9+cXEG+UyKpPnIhhBDtk9oduRBCiDZRIRdCiNwxs8onYANwDBgFdpa87dPAl8AR4LDHFgAHgOM+769Z/mH3PAasr4nf4J8zCjzFZLfVbGC/xz8GlrXptwcYB0ZqYqX4AVt9G8eBrR267gK+9/weATal4OrrXAW8C3wNfAXcn2p+W7gmmV9gDnAI+MJ9H004t0WuSea26T50slI3J6AHOAGsAPo8mStL3P5pYFFDbDf+hQLsBB7z9kr3mw0sd+8ef+8QcBMQgLeBjR6/F3jW23cA+9v0WwcMUl8cZ9zPL7iTPu/3dn8HrruAh5osW6mrr7cEGPT2fOAb90ouvy1ck8yvf/Y8b/cSi9eNiea2yDXJ3DabUuhaWQuMmtlJM/sT2AdsrthpM7DX23uB22vi+8zsDzM7Rfx2XRtCWAJcamYfWTw6LzSsM/FZrwG3hhDCVEXM7H3gfAV+64EDZnbezH4i3j1t6MC1iEpd3XfMzD7z9m/Eu90BEsxvC9ciqj4XzMx+95e9Phlp5rbItYjKz91GUijkA8B3Na/P0PoE7TYGvBNC+DSEcI/HrjSzMYgXEHCFx4tcB7zdGK9bx8z+Bn4BFk7TuQy/bh6X+0IIR0MIe0II/Sm6hhCWAdcT78aSzm+DKySa3xBCTwjhCLG77YCZJZvbAldINLeNpFDIm92dlvlM5M1mNghsBLaHENa1WLbItdU+lLl/3fTrlvczwDXAGmAMeGIa250R1xDCPOB14AEz+7XVoh1sv6vOTVyTza+Z/WNma4ClxDvW61osXqlvgWuyuW0khUJ+hjiQM8FS4GxZGzezsz4fB94kdvWc859J+Hz8f1zPeLsxXrdOCGEWcBlT734oogy/rhwXMzvnF8m/wPPE/CbjGkLoJRbGl8zsDQ8nmd9mrqnn1x1/Bt4jdhkkmdtmrjnktla80gmYRezgX87kYOeqkrZ9CTC/pv0h8WR7nPoBmd3eXkX9IMdJJgc5PiEOkEwMcmzy+HbqBzle6cBzGfUDiDPuRxx8OUUcgOn39oIOXJfUtB8k9i2m4hqI/ZhPNsSTy28L1yTzCywGLvf2xcAHwG2J5rbINcncNt2HdleYiQnYRByFPwEMl7jdFX5AJh47Gvb4QuAg8XGgg7WJBYbd8xg+Iu3xIWDE33uayceO5gCvEgdEDgEr2nR8mfiz7i/it/fdZfkBd3l8FLizQ9cXiY9jHQXearg4KnP1dW4h/ow9Ss0jZinmt4VrkvkFVgOfu9cI8EiZ11abuS1yTTK3zSb9ib4QQmROCn3kQgghpoEKuRBCZI4KuRBCZI4KuRBCZI4KuRBCZI4KuRBCZI4KuRBCZM5/r2MGiWnayEYAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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94guq3n2PpWOOZNWOSs6eO5eGjRvJnTTJyl/zySfMq+nBp+NO47r33+amLxbzZY9hNAT0ezx+3yai5Z9TdOQeBgYKgW5NkqP2lZfYmdeDaP8B9KreT/by5dwrprNqywK+/9Xn5B05DWF0jtatXEnVnLlkDx9BzaefkjN+PIFi3a8dLi2lbvly+v3mLkRuLjUfz6du5Uryp03T5V+0iMXRN2DEWTz3j/8yc+MylvUeRUlDNSMqltN4SpBoo0bN7mxyujcSEHVQH59wrGZ/NjU7cyxFvtulm45fIakPQWG9ZOhuyaRek0g37abIpZQPAQ8BTJ06tWWhFEYLOuiBv6Pl56dNto6i4tVX2fGLW6zzkkDhqadScv55bDrzLCuf3LOGvOIIhT03smNdCSBg/TtQ35eiE6fQ/ZwT2PC9zx3xAN2v+A51K1Yg3n7BSj/6kZcI9ekDwMpjpoOMW3DBgkK+9cQrbDj+BIeMUsbIGTcWoQVYvfkTCkb/jhErR9Ht4EM54pGHAdh61fep3bKL7KDe5dLt0kvpfvksAMpffpmdt/5SP0fjPAf87a8Eu8Vf5rLHHmfPn/7U9Chcn6fn2knXAH+36q9btowtF18CUlqdpf1+dzfZw4cDsOWyWQ65un/vKkrOnUnVe+9Ret311r7Q0CEMfjQ+aCW8YwcbTkg946F5PmPO/x77H/0XAhhcOBjYwoB77iHYty9rxo4DGe/M7X75LLpdfDGgN6Lbf3ZD3HI0/vb+2c/InzGDNQeP148z0nv+6IcUnR5346w/5liQ3lZiUqQk0LMHgx99hE1nfwuQXPmY7q47W0LW8OGO67H64PFWfLj5955DL2FPfncAHp37B3pRCUButIqmKHLzlN8dPIWnx5zCzA0f8cNdpdjjXgb94x9oubkAbJll3Euj/t6/+Dn5h+v9PmWPPMKev9zL9U99zvBBvZglJVpennUO62YcxYiCCNk0IoCGYBa3T7+aw3et4q6FxpeJIU+fyZXk9XJ+bax7sY/jmfxXcZFjf0gEKTh0Kg2fLgQgqKVf7WZY1Er8U6hLYJyHtL+oQtjSbXl7jUGMOdPIZ0tf8wa89CO9OKn/M8u2BgFZ+ePXLSeYa/0SEgJawKr3lMEnx8uXUi9HCKvs7IDmvAdCENQE+6sbHOelbwqrHPOEEgYnmT+TNO9PnPp4QnY3MbMzyizfUbfH0cIpV/yC2O6LlInTGxj7hY+8r8581bFfaMZrJqEwVGCVIVLJh/P5sJ4T2zPilD9RTj8Zk2I/ZyEcEUP7qxsSb4CIXyHzb0FOkGnDdUWeMuTQ5NeJvuPeRTk89t3D+PGJo/TyJQiP8xUI/2fM2H5/zR7+/sEG/Vq7rtXIPe9wb+hBBBJN05g+ogej+hijTO3X8Ko5cGeF819eN0eWqMfpBoMhS35zTdp00m4WeVrwe2AzFpeildJIMtLzesKw4dAzBn1Gw4RTgE+soyXA2LPhgrPhtRvtJXLHgjsZtUMyRdreO8ezHX/J9SrjymFG/+lQp4dINUYayCXf8bI2RqLkOfSNICCgwfR9u/ZZ5+bTEJsvXbK7WpRVRJmxfVT/GdRu/DghTzTmqt8o99p3r+W3k36ZIJv/yx+/LxLpqSCTyTuseBijuo0C1jrKE0BOINtRhl6Pz7VxN8R2ZW/bF1e0iXJKWhBbL23nLIRDkX25vZy8cAPH3xqPLnk1Gpf/z+dNYOcXz/HODcda7rWNX9zftMkMAyEYejRsmW/lv2zaEHqN6c3+RVnsxjky9KBfv03YcN/8abMew732nTVcYMptoW9rMsp52kcQK3BdZ138YwMrmTrjOCpeWsbTP5hG9bwGtr0CZbIQ2WsssNn7prss7IQrbrueAliwYwHT+09vwgVpOukKP3wGWAAcJIQoFUJclY5y3ciupsit83B+OlsPSzQC3YYmNmDffhhmvQChfOg+DAbo/lth0wdmqcJMx9tKsVef0LAAa/avMZR8PD035OqfEPqDFIn6KyO7CyCBFBauWya/CcAqGyqd9dvK3W3MVJhwDbwsWuu2SKdSc8mbTDkFRdDxdWTK0S+vn0dZHl8FDlya3NeadyEEMtaSQVJuRS4Z26/IOgfPqiRMH9Gj5e/o9/XQPPK6J802tHue5zB/aRgaX2wtT6zf2L408D73Zv0TdixzfffYGmZ70cZxGjHCgXwjyeO8hIjPEQNUaS61av/CkTClzxTSTbqiVi5JRzmpK2qXWtofm2vF8aCE6/UHxJUu+4yHkaMTFKMgrgfumn4X9StWsmXdc77VJljkbnmMPJ/s+JSYAHNIRECQ8KIGBJ4vWLzM1jbE9hbKu54X1j3PaR7pAiitKmWsZ6kS/8FGSZQkiTpXExovfutFAO497l4WrrwDWAC2KU0P1JcxyHW0byNnb1Dsfx0i+n/pWGU3k4RjpCQSjXHGhL4cvacHsdo6tvzxTGv3mjd+ybXHDaf3D6Zx4LmtHuchQKa45wO9lZv7K+n5a45k7cPrYBWs/d0ZaFl6FMzX33mOzzbuJZjENP1l8Bl9o3Qx0N9WiX4FC6il2qPhDkhJLKXNaxwz42fUbHjKuUtKMJT772bcTb9Bx6Uoq/lklo+8y1nkxt+P7tVHjhkPkfXwRhsgp8g4b5uadrtibBZi3PrWLHeI2zI0tx2viGl1GwV1z+nuEBHbbuH2GwvheJCcVovtq8NLDlue5BZ5akUe12cuFwnw7pa5iXWbbgO3XG7/cxPlfff8dxlRoscZDyocxImD9Q5R00cuJHy24zOnaH5fBW457H8d4iSx5gUMLx4GNNMKtPuQDfnqwlFyggFdyXt9oVgyumQ3tpO2JzZrlsFHepdj/A1qggElegenQwohyAoIokm+Cj3PzyzJ8U4569SIEpOad1nutMmXMz8v11VfXJHnB9smSEMp8g7EUjgr9DhlaSps+6f7vvVxP62HK0Yvw/ZpGC9cL0ralbGHEjOLc32uX3nw96x9MwbO4JiBx8SrdfmNBQJN4NkJ1dROuQT53TRBkZvHb6zY5Cw36TVwaHIjOYUi9xD0xik30iuvl7fMQrMOO6zPVGcdVmMineluOfDII4TTmnf3PSDI1nSLdWTJyESh/XAoM/13fThGTlbAQwna5HCccxJF6uLA9GvjPwK6vLZvQmcZSRq94pyQ7avQvs91egB1ZfDqj2HuHdBQGc8k7V2z+lYASVS65LAj7AL7PJua616mmczq7LRCnLoIpv84kA1E4i+QmQ6wdw3IAqfFnBDlov8sisaYEuoD7HYqfk8ryWYUmv/Z/Nlf7ii37RMOCz7hZRaGIrcX7t50uA+8FXlSHC+Az8tiJD+15mmunP0fhu2S/Mk8NR9L0dtH7lbkbnGdFnleMI8rx1/pL7NmWnYa2e7OTkMG6ScfcVdHgmvKJX9iNFBcweaHmmEJ2s5ZIJBIGgyL3LfPIEGROc+jOlAMeM83Hz30O/bKE8u2Fydl4nUw9ucEhad7LzF6y2CpMRA93MdZv+s5CMgYUSkIuOu0qrbV6uGW0jOZNrNS5F3OIrfOQzMGx8Qi8PG90H9HPM/uL0Ee4VLMxoutF2I9qBJBH81UFDaF465PP8pSRL1zeyOIOcqPxvSdAbJcXwMkvszC2f34+sqdbMr/Cilh4LJSZgAn/795vDQlQQxLVoBY1WjI8x5SbvfbpvL7StdfZ13+lpo72sWsxy/80CQr4DNa0cxufFaHRNA7RNJxPk2wZN3WvF9+W9kXHnQh4ViYf6/6d1JZAdzhhwD1kSg5Ic2zYUt4NlyngYBGkcsuetIXj+HpoRwPGVxlp3BpCCHQbL+//c8FrOm+g9xQgNPXruYHXmVbB7ueLVfjESBKDE1X5F5mpO2r2BcrBLVtFHlGuVa6XNSKZUr3dyYveVT/K4FT/2C9PJ6f2i4LPmBMmmW6XByx5Y6q49ewX17fBAs+x4hMEbEc/aUWtphkD0Ue1OJ2yZKvy3n+81JeXFrKkq/jg47CkVhC3fbf0Tp9xO9hfT0WF0htkNusbvj36f/m32c+aeX3+loQvhat3YLzsUBtJeUF87wFspz2+msWFAFi0qnI43fO69l2WZLSlW5Z8/4uK3NflpbF98YnLiDiK7fdfROThKNSfybc/SM2OcDW+LmVLJJos9SNU5l6jUdwX6v8LM16BsxLNWvaYKaN0Ee7/j18jpV7LyUMrX+aofVPs1t28/SRm3VqQNTt4nGIak9zPpzWE9XGa3gqi7wjMc8jpxtUA2jQdwKccR68fi8cdSMceS3IFxE2Res3gCgGBGO2a+SylN2hd0cPOIrDz7ienmufpUbscljk5nMXjcZ8LHLneeQENf5w7nh4B+4852D+dsGpAFS+Ldn+CQgkjWGXNeqWyzgv0/Zx0Awf+R3T76Rb70Oo37/GSheej47wVgxWJunfuafvBuCGKTd4yhN3rRiKXAsSi7kaMz/3jv2E/PzP1rHuA3DuR7/GTZ2v3WmVCkvmuEXuun/JZDRyaKD7mZv56gr3PbGfr+t5zs8K8OgVU9m+8FFevv4ocidOBGD//qXsfglOHNMLSuH5yDGcmL+Fpb8+mbpwlOpP/2Q7eTyeA4jEnA2LS0gYMBW6BaBkiHOfJauyyON43cBMxjyNaAMM0ZcIE2NORxxkDLM2Z1rz6gQ10wVWegOCOnPUmE35+vmH84P5TOw1MXGflESNl1cA767Zw5xVuyFqdERJV5ik0I85bnQvo6hEq1JICEe8Fbn5WzOdRcZDb/mTHSeN/8tg6RDniygknD38LM9r4Ag/9PDH+nXu2bOZET4J4rjcDEERiLtW7DI4FHliPQkmuUNMn2ON39JQ3gERIDfoiqbww6XMTDdbbiiQ0NFtyZkiakUgiUhvdSO9GumEcmxGjFefgOFmErjupW17dE/dhTNzylBCAY3u+VkMKMklELTZsx5RKxKsqBXfOPLCfvDTZQluImHP4z7XNJJhiryLWuSRRv0BSHl+evqSXUvi81q7rOV3w2W27K4h2h4Pt1OceFrU/m6Zr4c1c53r8zGpVRlXRpGY30NsvjjGjHPGY2k+9HfPuNvnOL/inC+/9z6sl99t0TpeVi+L3MxtHJcd9Jnpy9WwBLVgolXs+hrxVBRJolYcFbnls52/JjQKswp569tv8ZvpTZhv3taomRZ5tnsgmFNI7+MNChr3MFxzzopp0qyFTCTeDbnbyPHocNe+1GdtDAZcX5haAJnbHYYe7S7U2oqkjFrxuQdmsuaWL71kpGsl2ULCmYR1HuEGCJotuUh4uePhh3ryX5bcw6btgudclnHCB6/QLbEhhQOBr11KDKeCcDQI0orHLckNMXBgdxpiUP91qZFdumoTupRJXiKBbpF79vwbv7N7fEgtAs1YJcZcFEMTWrNcKy6TFSGhprHaUZe1LT38025/bIK4zoQszaez0xWxUFa7j9KqCFPsZViNSWIj6Bd+2CS3jPHb7bMeWDiQ/gX9CWpBfvXxrwB9QRJN2Gw6V9RKzHgWdB958nqSN+bevLD+Ba49xAhB7H+oXkz8YFcZjpYXRzave2nfrt4FOS7XkblfC+rBBvb7bWsckoUfWlM9JEEo10oXxvzcijYYIYg4FGr85XCmOzodbVErjnjpd+9EbPyAvEiYi7ascNSnbwqnghC2/VISlXHXSreCLPqV5JJnWmQeL4JM8RIJKQlH/To7Xdcl4rGCSipFLmXikHibC2R12WoP2XApQufx5r5Uk2Y5XUAeMtuGbB+oO+Csw7gP3iF1rgbdQ5H7uhpsZUP8Kwf0hvHsEWdbv/fU7kmQ297QWD7yoLeP3GqM7Ofs3u/isLr4nNyO+t0jPD3cXUkHJXm4mRLCD70UORpEGtC/P0VCGXEfud9XXiqLvG3DDzNMkft/5mYklkVeH7fI7Zaxy2L29c/ZFbT5nFRug31r3Jmd27byzcgU/Wc8/FBI2+yHYO33dlH4W5WmRe6Wwp4/sl+fdjS6w1gx0O6GsCkIr+XrHGUmWNYwocf4xJy+Fq2tIU3S2WmmhgIhvDGuofFZPap4JCONkZ+OMvw6LL0adPf5+Vz3+H7DXSX8X/WyujJngv2LSwhiMbtFnviFYl3Hde9ANGwkua9z/HffSIQBSRaH+ThwBDtCQyHnTOQAACAASURBVBPP1ZTNs8PVeS+95hWyLrH7q0IAIgDRRsez7XQ1Op8N9/n7+b6t3G08ICijFLlnS5zRGOdSWwZfPGVL8rIgcFqC9pfXbakDomQw9DtELyKUb2WNZ7BbES7XiiSuyM3/3VaXl4siRYddY9jbIreUfUBf+aauUX/JY3bl7bDISUTiCD+016OfqYel5vfy265DstkPTZrqWtGEbRIrt3ukSeGHrhNMZs0bv819yRT5rfNvjX+xmBV6WOS5WQGntW6rh7JN8PSFMOf2RFkEEMqloc+hvjLYiUiBJpz3K2GSMB+L3PtauPK6GiPdiNEg2uh8tj1dKx4C298NF/888Z+uspQib7OL0KmwP4BuH7aZBZ/nyf7jlN/A0KN031/QY8AFhnJsqEpsIKUkaio3r/K9rLIm0OgXtWIQKlxtFZ8orENwz+OTidSiWQCb+Lzl+FxfC/OzOibZXLFZ37ZZif9e9YT3Oo5NMVocMnrkN707SRT5lsotXPj6hbYinedtdnxbIzsTe2Ng5xf26lz7BYTryN69FIBdwSDv5fnF3kMYjYARb5/QuNbsc/624bfQuEVebyOjl/vHcK14NRJAONWkX6YMrrKn9jWnZNA896eLDFPkdC2LPG6sxpOEsGtM40/cvWElG7seWP4PjnwmPrexw09sWgrRSDwN2/6q3fCHgVC919gXtxrM8MO4fz5+qJQx16crKT9rBSTxkdvcDF7YLVbrt5Pbj7iN2w+/3Vm/7UtFOgZKxetNGn5IEuuP+LUOad6uFatc47N6Q/mGhA7Z+mg9SLjqne+56ibxOfAKP7S7ZRLk9DnvVNjP2fYVkRPS/L9QGuucorqvs+uWVQX8VU8kJujVUOoqx/j70HH+7i4/N5O53edg6Dcp7kp07BdQ/jWsfTvBIpcIy0fu69406t1fv9+5z91P0ka2aIYp8i7mWvF5KNzRCrqlEVe0CRa5+dw5DOW44jdf5oSHu8bwjdaUGfWaO6XTtWLI5O5kjRfldFF4fdYKKQn7DAgy88hwIZ58+YJTeXso8gtGnc/0/tNc5QvbIT4vuL2NcPtG/XzktvsAxtJd9RWwf5Mzm+VZic9+aKYd8cwRTJg9gYiMOnW3EInb9i8ze7rlHvNwaWG7L+jRS03G4V7A5SMn8XoIYU125SjDJOrReZ2EmLTrO5dSlYCMefez+DVq5mYsqlve7sZICKR5fWr2OdL1Sm3huJ7vLK531YarMW8rMi/8sAspcme8spVqe2hlfJ/dF07cGpQChpUMB9YbFppVuPGA4W+lWC+b0QLYFIeG7i7QLHlcStGtrH0jL/Q/WQHh71oxfkdrhhMr3gyYHWFGeds+g4HJFbln/cYfDZE4otJ+Dbx8z2Y9Hm4kqwjjsIAIwCMnwb51+tJfCXK67XBbFkHCEn0JFbkUucNa9vsSMmuzoo+aY5HH76+wXbvskEbExxqWEdfK8H8eAiFD3j09wQjssS9M3C8SYacxGOdfX/7LmkJAn4/FqOPtW2DT9bA5F2utz03zfCxyj3tp7gOQURAeU/Hav3YBUbFNn1Z6XwjQB7mNrkuM/LLy2wMH3LjvjXKtgP6R04WwtfjSM939AmPlN/nxoT/mmTOfsdI9rTs/BXtgi77tmshJSsnQ0AnEys6kOKsoruQdFrlTXuk4icSXqCgnSH2ja1SjK48QMfB7KVJErUjrv3j98bkyNJ9rYNblur72htSvc8+WXROarsT9ZLa5YkyFveiyRay8YqU12tKqwctQMa09D0XuO0DG2C8NN0LzXCvScS3MTudcM2rFC7OfwE9PGem1Nsu0MBrvt7jv8/uMqiVTxNrkLojtSxPTLKs48eskPr9/FDSPrwohSKUK94ketrzuuk2LKZF4u6LiyON0MYs87oMDTvyfeJpNwet/9fO2h/IJu9LySrcrXw8l5rDQdq/CHn6IhJgMEKw6QVc+hkzm8Gff8EOPyAtT5rqGCDsr6hxpNmEA0FwuG/sjnzpqxf4SOy1rDYGUHl8D5svvpSDNejw69+yK2fN83IJqTsVvLyMYCLmW6EtsBH0H2yR1acX3N8utYtRjn/0wPtdKkvDDWnOKWuNcf7U9vjhxr4M8q/FSPgmjf8+4Ry/jXCP6QxrmnOtc/SdAw3Y/YyA8puIVWIpWSqB4INxZgfj+u/E6vSx9W/m+nZimkaTiyON02fBDgKHHGkl2hWp7gU3FDIkLJbgUi5WOaSlLd23Gw2erxlVvYzRGKKDF/fNuizyZi8L5WQBAfThKeY23rzT+0km8lgQTxi4LP4vdXb9RbgAN6TE9gBCCPbV7eGPjGy454tehKeGH9pc4Zq/HvO62ji6vQUsC1/2MV2Qd5/hrdwH5ubRs+70amvnr9yakvb3lbaMa2zkLffbDgCYIBZIMCDJFHHpUoizZhZ76S/NIbIy4pzAwi7M/bwEPPWBYxUn6aaSM6Qrb1Rg5BscBBIIJZewUvR3yOKsWRKMxFm3en7hvy3w9i4ojt+H+JMp0LMUpIMuY+N9+eg5F7rJC7ArBbgHbrcQkFrnny2hT5OFIjKyAiF9zgbOz0/2epLCGjh3dU7fofT9NMSx+zdkgua+Fe9ue5tkZqMdvxzyjNwQV9eU8vfopR/7mRq3YdffwX71pE8m87vEVgtwKWwgNJJw25FRX3TjuhyWP/VjrvOPn45ZTIhNCD/dU1XP5o4tw8/N5P4/XZ7uGsZjUR3WiK/nEka5At+H6tt0gscSIn7n93nopn4q6MGtDIZtLwvWVBDDocM97In37aYztaEy3jKX7HASE6xLz276YF1friry0vJ76cNTRYEclvPPlLi78vwWUVTuNld2fPm2U1bbhh5nV2bnuHQjXwuNnWS0dAMOPh4I+lhUav4nCeH7sN8a9XyTuR8LiR2zlHwe9xjjz22+20Dz2Jfur6dU8fQ9g+N6yCozivP2Z9pfBuQMcL038gERFkEKR21PC0RghcyVbl0zSkscmm+8nvr69ekclQ9Ef+qG3vuGo+vhty/lFvGRHPYAeEZIK+wvi5VrxcPtY5+xhJTvK9VPkxs9YLGpNvHtt4GXgTKdMXhELNhn1hSk81oS0Nyj28qzHN8n9NfNJZwz59vI6tpbVJsrjK58+MCvHPmGW262BgOwi/YcW8DgPb+NL89Bp//nqLR4b2I8/byljKImNspTodfl9FbgbAMc+vbPTa7+s2K5v5xRDnbPOqyO3kCtrAJj16CJ2FsSjk3oWZHH3vhpEoW6IhaPOL4o+W9+ggn5tvrBEZinyUJ7+cNqVOMCuFbpFK8H50EunNWP3o/rux9k6A2z6ELZ/4Swj4W/Mf58PAlvIVq4xFarDwnb4PmyWYNyisMeXCwmjSkYBazCtaP1wn4gNhzDOesNRSVATNkVmX+rNqXC9LEH39m1njuXpvy3zfKmtd89wrZhKVzos/xQWuT3d3lADAi1xRKV7234eCQrSM1ccc8kw4Beh54CHnfk9wg/tDa6GRoOMGD/dlmwiieGH3oIJdCvVrsjvv+d2QkSAUzzLBhxfIcJwrViK3PcLJRY3aCDhOnvdsYBHaljbBcCmUIihjnJs5cX8wg8dCYmbMaOz0yP8kLweQBn0HAOlFY4DS3KDNNS7ygKyghqnHtwX+YqxK1jBe6Wve5wpNteK5+5Wk1mKfPB0RNZ2Z4hXW2EqsHT55aVLwcsYfDIfPrwernzLljHRkpbgUMwCHL5Wx6MuXeVIqc/qZpZh2+3wvdote5uP3O2ft+Ryvwj2z1qPl2hQt1yuO24EZZvmseWPZzouTcXrsOPzpzl0QA5zo/GXtDAGVQHIldI5kZaPa8VdvymiZl6HhGsgvBdmtl//ZD5ho8gPl37FyYkS2VqouCL1qisgBDG/QVumHPa/tmPtk5X5TZplnzDrjyH9S/OT2Hi+VV7BoyXFHnI7LgoxKckO2SxKL7dGLKaPIvb7+sspgWO+B5/eZyW7LfJPd3zKk+seBOCLnGxOMOpPKC8W9ZAB11ehvXrzOuqdnd6d9ebDEkS46vzJiSP5eOlmWArzfnECWYMGOare9K8iupUUkzv4UR75Kj4B2GdbtiU+A8oiN0iHUm1OPemqz2HxGmQbfnHpWnzX+oy0vcB294bb8rClHzvwaHSLHBI6cRwuGKcsQghj9je93vpwVJ9/WtpGlZplVe2CdW/Bcztg10r4sop9VQE+ev8WjnTXk0opGqcAULhzAcP7BAF9YNDN+8toEIITauuoffI8oKdxmokvg+Pjx8O1EvP8KnH8iW/Yr3+CPzW+30ydsvM/HmY6CUrN3QCbiRoaEc/G1tWgeyhyf5eW+du7s/P97JuJHiBBkf971b85VjqjVmRM6sPzTVm86jEVudmouPf3nQgn3M5HX6wA9KkY3D7yH879obW9LisLiDquk7UhExV5/Fn3aNQcilxL/KoQQo+s6ZsNB3qAMGeo1P8MLMnlgikD2fk8ieduHB8QoAWqHcl5UhIxC8mEqBUhxGlCiLVCiA1CiFvTUaY3abKOOw12hW17GY1zjJn+NldnZ4JCMNJ/fMj1nDT4pHi62b0mTQvVbYW4ZJkd9+1G6ir5S8XNRviUXocwRr3VCUF9/QHK17wK+zdCtJGwELxQZSyc/Nzl+oCKO4vhCWOdxEdPM5Six1UwFachcT+h9/5nS8klVdXGx4P9i8DrWnr4LWyKPD6TorORcbg73J/xKSxy8x50F84XuN4cweqyDp887UmuGPcdZxkIAmhEjUbUZUoaxfhb5NRX6lMs2NPtx0caCfjMs+IVlPjnxX+mIVLvqCMai1GQE4zL4L6JQjC/YTcTBvbk/qX3AzD5yUOZMHsCt398O9XhahbtXMSE2ROo1+KrFCVTPu4J0OxGjPSyyEnSqJnbsZgRR+46BwG7wzWUXfEyUgvG742tIY2v7OStyKVsRAS9+h7cDVHb0GqLXAgRAB4ATgZKgcVCiFellKtaW7ab0v21yPqI1VnWuzCbK6YPtfZLy3Ixflvp8TLi/ldnHjPhf9/fYOU97qBeHNTXOWxcOBQBrn2u3w7jz21BQPd125gGXPx/C9hYspUXgPK6MOFK3SH3hzdX8+L6N3jHHS7l8S4B/GfRVr49+TCj/BRPjqmg0U+9LhyDHV8A/UHCvWXX01/uYn1Fb1i+Wc8qdZ9+raaxoCCffw7RO7iuWRVlwj7pHW1i5+P7QPTwtSCl9O4A03e6Mibsl97p6Bav33qVZnPnV2fKiZg8+MOdNzC8bw+m7a5xfEkVPXwibMuhniKnDPUVyE3zgCy9f6ahSh/ybir3l66B3dPgjVeA7vDgdCiJQHUfWPk8svxJoAd8ej+UfAerv6a+HBp2IWqD+uyaxgo5qVi6eylHlEyyfkeiMVbnXM2E2XB/ZYCeDcW8tPR/aYw2MnPkTCIyQlm0AQgkPAOvbHyFyQci1q0uC8SV3UGNjXyW6z3hWNwAd35dAbpC9nq+kzwDAG9qDayJ7GCW7OlIj8QirNm/gSufO4635EkJZf/0/Z+QXw/XAqe9cCp7S5z7/3wgwt6YwLNpdIvTiV0rhwMbpJSbAIQQ/wHOAdKuyCNffE7I9kLuqWrgnnfWprsaiw/X7uXTjWXWQ+W4Ba774X7hnY2HK6+xc8Le7UwDTv16EQd26w3G/e9v4J2N83gRmLpnLfnhehpq63js4y1sq1zBj4HjVkgmbtbLmLNqNxveXM35QJ/1K3j+ju2cAlz52GLODO3nCKBmt9GpemcxHwy6jogIMmTHCrS6AHtWFNJYGSJXi89dXvPsveT1amQPhcTCGvQaDcEQsnQjF82LkteAAwnkN8CpS033BWAutlDcH2igfFMejVVBXTndVeIsYGsO0J3xywP0yxcUxwIUhaKU1Oawp1F/OcLV8Zcksvkr3C/NY1f9nKMG60O41+6qZnRdmMY63V0xenkNwfBWQI/a2LOvgcKcEKGopKgWTlymy33Zo4tY9uoBRpaXcj/w1O/+jwn7Slm3X3CXLdJGyBhvAhO2xAhGJXvKnY39dbwIq6F2TxZ1MouPXvwnI4D96/JpqDReud9015f3qy5m4C6N4qhxPs9/FxYYF9gYIl6xooLaTW/SWJm45mbd/hCxiPGErnkDyl6K7yzrSUEkyLfmS/a8fouR6JT1oq2Jo237HpAsqTzAcbe+wbOV9RRV7eOieXq+3IoIS3Yv4eGV+myHs1fN5oHaCMN2w0XzoozdZhhKhkjDiocxqLCe+tJtXDQvSpSvuMio56hajYY879G+7mfMZN+6fBqjHkvGCUGkvJzKd+ZYv207AdiyvJHIut2sXjuHrFAOW7a+R1AEyW2ooH+55KJ5URp2rXOUCXDUV5Isw/PlNwnigH3SukYme8oLkVHDup//F6CQvX+8AzlpIt3HHexdUAtJhyIfAGyz/S4FjnBnEkJcDVwNMHjw4BZVNGjaFOo3dWPd3frixHblGY/iMH9b9dry4MzTwW6axm3bWHnmbI4r1V+KRi3I9oJeHDV+INs/7MnEvRuYuHcDUgi+LupDbv9+VGcFmbE6YuV/qyKLzxeXMrWwD+PKNjOubDO1wWx253Xj/coGjtAkdWVZZBfrE/4fv+0BAHaWFFNelkfZaj3ssWhwHUJAdnGYun1Z1O0zlL8IkH3cxRDQ0D77E+cu0K/6xCPO4vmzr2J0t9Hsj81m58o/ccJyiZaXR9ZNL8LYsQCEtm5Fe/98Kr7W71VOt3DCdQgVRBHBGOO+Mj+2A0xEIsimjMTVd6KNGqG8COG6gPVmzVj5IZEVGg3BbG75dB+bVs0hO9LIIznFHLKlAmhke35Prv7fT4kZIXIXbRV8pwGO/kpSHcxhd67eEJTlFFEZyuOo7fr8GluK+jrqlwg2F/VlTOkuxpRKyijwvcfZJRGOzV3I9mA3yjfpU7ea94JDLiV74Sf03VhJ330aWjBGKD+uDEK5UbRQjMptcQUeyI4SzDVGWpaEqdmdTUN5CC0UI3TC1TD1LN0PrAXIqXyUvLc+4LSF+Mp4rs8Xx/JDtlI49lbe/boHMxuqOXdBfN/WXvHtX0/7NbnvPkOPJWsYvFePkMkaOYxl333Ner92rbyb/auf5twFzro0sh31S5cTrSEIP1xzF6tn/4ZhOyV3hSC2KR/BXvKnTHVe59GjqXzrLao//JBAr54EuscXxM4aMpiGkODkZfG6Foxp4G8f/AyAawqiHLsFzl0gqWcTnx0kmDl7AkU1kv+XC0es1Y8L9urFe1e9hZaf76h7x6pbOPDqawnnZ15zEZDkdG8kmBchUhvkzf++xqw70qvIRWsD1IUQFwCnSim/b/y+HDhcSvljv2OmTp0qlyxZ0qp6uwrhaIxRt+lRK5v/cIajcRn5hzvJKdzCl9c/bqXd+P6tzN32Bt2yevPehXP1yBLg4Y828bs3V/OjY0fwi1MPojEaQwgI/7Y/BaKe0hMfYMCRFyJiYYiGiW5fRuDJczxlujZ8A/8IGdEFtgih+aXzufY9fW3FlVesdBwzYfYEz/QmIyU/euoYKmt2MygS4c2CfP6wZx9n1TQh5hmokdkc3PCY9fvwod05Y0JfHp6/mQPd70ZGCqnberXjmJPG9uYz9ImaXjljARV1YRoiMarrI+RlB+hdmMPQHnlEjc5oc/i4lJL9NY2c9bo+2+LKzVt95bpuyOuMHdKX++d8SYgIX/7xgoQ8F7x6Hn1ryrl/5vNgNCYWVbtg5woYnSRcMAm/fmIGC8P7mbttB3QfnjBD44RhzTOqvrj8C322RxdNuf/nvHwOmyri9a/cvJXD+x9MXba+oMi88z/n0N/OpXBs6m62iT0nsmr/KgYWDGRs97GM6THGmq/Fzl+O/QvhWJhfzv+lI/3RUx6lKLuIaCzKpopN1vqlyUh2btFYlJF3PIUQEfJH3Ed+LMZCY41bK08wl0CkjqrL3qRw1IyU9XkhhPhcSjnVnZ4Oi7wUsMfjDAR2pKHcbwShgJYQjmeS2z/RpxkM6NZYj7wiS4kDXDljKAU5QS6cOghNE+QYVucBrYgCWU9Dn0mIYBYYseuBkccRkRpBY+V6rv8ceo4E4B8A3JlQ9+Ai/aXvldsrYd9Zw89i2Z5lTThjH4RA9hlHZUVf2P054OGSmv5TxMl3JfpH37qVrCVPMP+nxzOou3PBgpPG9eH0V/dC9l4euzaP4wcf79g/Ybb+d3gvf6va6yUpzPFb3g02xfoy/De6y+8BI60xEuP+DzYQi0k01wAhIQLEeo9JVOIAhX31fy0kNuxYtHWvwBWvwZAZukunCTx6yqMUZxczqHAQRzytf2AfN/A4TyUOcG3WAIaUe7g8bPQr6OdQ5AC9qgayNXs1v5j6C7rnZ7Hmt6dx2NNxRT6wYCB3TL+DyoZKbpp3k5W+Yp/xtVS5hS2VW3hry1t4cfO8mxPS3Aq5KMvZZ9Enrw89cnuwqizuHX7/gveTnltAC1AS6suBOr3je3SjLVzWMIYCXy+Ax06jsHI90DJF7kc6FPliYJQQYhiwHbgYuDQN5So8OGP4Gby15S1umHKDIz0Y0Ljk8ETrKmqEWwmPFXKWyIOYJowlvgwlngy/lxj0qVyj0md2wyYSkzG65eXQIBJ9wdsuncegkRO9O7lyighFaxhUkuiGGdgtrth/8sFPWiWfLwefC1/FfdP1w05KyJKbFURKaIjE9CXTbAREwLcztrXEkIiSQTDsGADOK3iSk8uf5UfB15IeN6XPFAKGMXD7Ebdz92d387cT/uab/5pgX4iW+e4HXUG6GVQ2irWN47ls3GWAPjHXvIvmUV5fzvCS4Y68K4eutCz/pnD6sNO5esLVBLUgZ798tm8+8zzH9xjPM2c90+TyPZHZ1H79fe7njsR9Aw+DU36nN6hpptWKXEoZEUJcD7yD3gP1LynlV62WTOGJuRqN24rwI2Z2Cnoo2d5FuVCdkOxLUOiPi1ckR0ALEI21TpGboxBjHoFpg0Yf4n+gMb0B4Vp9gqZ0cafHYBkbY/v3ZUsolFDnuFOuSsibZUx30OihyDXhH1Vj57kl2/jF8ysS0jf+/gwCPgsXxGTMMfthmSxgv/T/+jAxlRvARWMu4qIxFyXJjT7oLElDD9At2/nFsUt2Y2FsApGKQsfo0+453eme4/3lsHJnBUy8GM74c4ozcPLeBe9R9tAxjPVoZPsX9Oe2I27jhMEnNKtMN+ZbEa0dSXGO/mtur+/GB4sFgjD9+lbV4Uda4sillG9KKUdLKUdIKX+XjjIVcez9GGX1utXT1LC4+3J/zJLYaBqLEq31wZf8FYB3A0c1qSzz5fbqV0mLRY6+hFxjwGMCsWSEDAvePbWCixkDZrD4ssUsu3wZX1z+BUtnecxr3QxWZ2dRp4l4QwL6Z/SAxEWGTUXeEE28Rk1R5FX1YU8lDjDCNlGXG/cQ/XC0dX1ivljD3/3pluNU5NMaHqCcQkb1Tt2wWGghiCV2mKeid15vxob9Zbx4zMX0Ntf0TCMnHz4x7WV6kXkjO7+BRGXUsoZv+/g2ABbuWMjk3pNTHvtV8GDOb7yTt91LcQHBAZN486xFHDJikMeRiZgKwUvppMu1ogmNqPD3P3tizhzZWJM02+1H3J56oWQvLn1OH2JePAAQkJUHG96DpXfp+0N58KOP4/PleJAdiFvkbpqiyNftrvLdd+WMob77zMbRpDGavJ7HT3uc8vpyDwHegdoyOMTHa7rts5QNabPnRfcsJATR5itywBqi31b85IRR/OZ1V9R1G7nM3ChFngGUN5TTM9c5iOGzXZ9xDdekPNa0BP2W+jpjqvek/55laXpj0Cc/0deZTtdKs23GJlrkAwoGNL1M81z6jIfRpybu72HrU8jKg77Jfbd214obTWgpG8E1u3RF/vEtx1t+/2hMMuJXb1Kc69/wxWTMMddKOBqj3BaK+Ma2HZw5qL/1e0qfKd4FPX2h/tdPkdcm94+D/hx7cdMpTX8GdYs8kjqfF9Jcs7Nt+N5Rwzh7Un8O+9278cR+SVyCaSSz5iPvojREGyir838Rjn/u+IS0vGCeR85EHpx1KNcfP5LRfZrx+epDQVYB9xxzDw+e9GDCvnRZ5OZCC+Aalp+MkGGRh5OHKjZr3IBp3U9IDBcEnO6UUL53Hnt207XiocgDWurOzq/LaskOagwoscWUa4JQQFAf9j82JmNIKaxpA8KRGFUHxf3dgyMtVIotYNbYWZ7px4zu6ZnuSSDYcovcHKLfDoSlUU+/SckzpgmlyDsB17x7Dcc9d1zSPBNmT+Di1y+2fuc3QXmAHrVx86kHpW3w02nDTkv4OgDDIk+Dj9y9CEKTCBpuo4jPcMCWYDYK2T4NYMgWWRNK7a7JTmKRB0Tqr5m9VQ30LMhOuI85oUB8bhcPorEY6/fUMObX+uo/jdEYQ3qlsUO4GZTklHim52U1wzEQyIKo90pTKWlj14qdmDXbYeveiaaiFHknYPGuxU3K91VZPBgoL9Q0i7y9CIpgWlwrQgiqgnqnk/cs1h6Y0wFE20CR+zWYQVuoo0f/gxvLteLho26Ka2VfdQM9CxPDK7NDUBP27xuoj4Qxe40vfXgh4aj0Vfw9cnoklaFT0GrXSvuM5p4n9DmP2qvhUIo8Q2mqa6W90IRGRLbuM9305/bI/RmXVVRxWnXTRnXGLXJvS+1PR/+Jiw5KET7nptGoO8vnOtuVd1MUeZLOzqAIpnSt7K1qoFdBYj3RXo/ydnViuKNJOBq1pjH4dKPuvnv80y2eeT+86MOkMqSkx6jWHd8UWuVaSR1Zky7+R/sx3LAq/my2MUqRZwgrr1jpGJEWCjQzsqONMUMTWzOwxfSRB0UBt+4/QJPPMIVFfsbwM7h92u2e+2aOnOk5UKXNLHKfzs7t1ds9wzrDsTB7aw6wYU81PQsSLfJI9uqk9TZEoqT1NX/8LP99ZetTHn7u8G+1rv5k4Yezz9Zn2PSjHVwrZsfzz04db0Q55T1S8gAAFTlJREFUtQ9KkWcAv5n+m4Q0c2BQZ8EMj2yNe0XiXM2m6ZWbirz5lprvqEqzs9PPIrdf/2CignWTrLNz5b6VVDZW8urGVxP23frRrZzw/DFEYpKTx3k0OCmRjin7rjt+BPN+fhzRY1PPLeKJe5nFZjKgcGCrjtd95D73efNH8O6d/se2cdQK6Pd5yx/P5GKPUdZtiVLkGcDRA4+2tk8eoo8T+9aIVlo2acbspGyNe8W0yAEeiZze9APNr5MWdHb6RttYFrmfIre9Ok34OspO4iPfW6cvDHH7J7fz5b4vickY0ViUaCzKnK+NaVmRnDi2+Yo8Ysw7//QPjmDLH8/k56eOYUiPfLSjftrsstJBq1eRFwK+/kSfSKx5FesWeTu5VtobFUfeiTAHxICzA9Rufd977L36sOtO9kCa87C0xrUiMYboS/hd5DImH3YMU774JVz7WfIDW9HZ6TsYx/KRNyE6KNAEizyg36+GJBEmAJe8cYln+oxRHhNqNYGYjCERlo/eRDQh0saXFFMXJMNvPu8mY34R/N/RyfMlVGzOld+53pt0oSzyTkTY5vurbKi0touz4y+OEKLTKXGIj9qLtDSiAOeAIIlG6ZBz4Pa90HtMisoNH3VLXCt+YZNmJEiK6KARjY1N8pGbixenGlnpR06oZR18URkDKSzXzjcW0+XXCd+ddKAs8k5EW82A1x6YXxKtiSWPyRgCwfj+Rby2fAcDu+U2rde/FXHkmtCI1Vf4W5l+ceTAgHCEsY3hJsmYLGrFZHjxcF6Z+Yoj7YFlD/DP5f8kJ7tlLgn9mRKOKY/TRiC7BV9BaQr/O+MvcPgP4r8jjXB34vTKFmZHbAa/Y8lQirwT0Wr/YQeSzLWy7sA6Fu5YyHcO/k7SMkzX0g+OHs7Ro3oxrn/TZniMW+TNHygSqKsg6audnVwGIWlW1Eo4iUX+zJmJU6gOLNA7B3NDyRWQuY7tRVMHEY7G2FPVwMcb9pE3pAoItc4idz+XtsVGANi6EP7lMY1BCh649FAmDmyhm+aQy5y/UzWmD07X/y58EI79Rcvq7MQoRd6JqI3UWgN96qP1HSxN80jmWjn/1fORyJSKXKIPCNI00XQlDq1S5FqkgYjfIJHe45IOIJEYg5aaoMhDTbDIvUJKzf6R7KymNfLz1u0lFBRs22/OO6NHrbh95M0ilRXbfXjy/T6cObFfi44DnCNrTQ6ZBZs+SH5civl4MhWlyDsRt39yO/886Z8AbKvaliJ35yKZa6WpU+7aO3ubhRB6OGBLLPJoWLfIv/8+DPSZMMoHq+OuSYpcz9zoMY3sXdPv4rEvH/MMKX1/64cAbA3PAxLn0jb57vSh3Hr6GHJCcR9wXWOUqU/8Hhnu1jqL3N73cOofEvcX9NZXmCpph5C7H34EWz/zbmC1AFRuT358RClyRRvzyfZPrO03Nr2RJGfnw3StlFaV+s4yuK1yG4OK/KfMdc/U1zwBsn1HdiZDk1GiQjRpvhQ3ukVOk+LIhdCtYi/XyrdHfZtvj/q253HbqvR1H8sj/uuCAlw4daBDiQPkZgXQQpVoocrWWeRmJ/xRN8A0nxk3m7DCFDS9Ufel3yT/iaiqki8115X5hndld16SzZ/RGTFdK9+f833fPBWNFb77ID7XSssECMFXL+qdll7/GryXQgoYS+DFmqCME+TFeIGaOMo2FBBJXStenDf8CgAmdTs2ab5ehcllCLXGIt9uLMDx8X2tnqukTTv0u4/Q/77203iUyjcEZZF3MBUNTuXWnDUJOxMxW5eh3zmkCk2MEfOdNz0ldQeS71/zOky6OCH5yX2LANgfbcA+p+Ouml28vul1rhp/lW/jYlnkTYgjB12ZJuvs9BR7/xoAPtr7DPA933zL93/KSYX+rpdkFvkJNbW8n58kzLKi1H9fZ8JcN/Xzx/V/XvQc3V7StCvKIu9gks1Dnkk0JX48lTUWjUXbbg4ZnylUK43wuZ2NzkUPbvrwJv629G9srtzsW2RckTdtYiQ/10oy+uToHYmji5MvGfb+1uSrvJs+ei/+umcfyzYncd00NmNh1xS02rWSjOpdqfNMvLDt6u9AlEXewYRdEwCtvGIlUkomPtE+a/2lC/scK/bJvSBuoad6iaMy2nIfuckd5c7P/x3L4KFjU059+tLXc5gwML66eWWjPiArWUioROjaPNC01ygU0DznWklGcbC/dWwyXtv0Gr8/+veONPs98fqq+CI2ksnaBgSQdJhMg/8yc81ld83utJWVFHeIpDVOoH2msW1vlCLvYLws2XQtAtGemNEq5406L2Hf74/6Pb/6+FdWh6gf7oWCW4T72pkr+aRYPei/G17kvxte9CiuCeGHTSQ7qDV78eO9NXqD8vGut4F7kuZtrltubnQKk7UNqTNWGZZuGiZqe2XjK6kztZSRJ8OGuXDSXW1XRydFuVY6GLtF/vzZz3egJK3DdJt4KeteefqIu8YU4YFRGW29IndjLczcMvdAMp+9FM2z70IBjcZIYidcWXUDb3/pHXFR1xC/Hsv3Lm9Gbal5MHq2M8Hv66PasKILWjL7Yjsy63n48VI46mf+eQZObT952hFlkXcw930enz/5oO7NWIS2k2Fa5F6K2IyPvubda1gya4nn8eFYmMrGypYr8l/vw1OtmtPQNnpb5EEEEcOqLggVEJMxaiPxvKmm5W2OtKGg8LTIp9z9bkLar88aR0DAgx9so8BYr2HWm7MS3FZ23PsqGyuZ8cwMn9z6fDYOVjzr2SHM2rf0vwfP9C2r09BjhHe60PSBTUObOdlWhqAUeQezdM/SpPtbHMXRzpgKL+Axu5xppTckmZfj7Jd069DdZ9Bk/DpJzYUhGr3DOUdpeayO6fsWXLrASp/79Vxu/PBGh1J309xAui+3VxLUmuZv/u3rq/QNrWkRMRN7JfapZGnNXJ3mpR96K3LznhT2bV55nYlv/R3ev7vN5yPvKFqlyIUQFwB3AmOBw6WU3uZWmthbu5ft1ds5pPchbVmNogWYMzSabhQ79g5Mv9Gb26v1EXnPrn3WdzWfFhEIQjAnPpuhi+O1IlbHahjdzRmWNnfLXAAue/MyXyu4PBDg5YJ8miNtJCateVHcPP+jI+men0V+dpCcYIColJQeqOay9+ILi1Q1VlGYpS+evO7AOiv9gtEXJJTn1ajayQ157N++FOorYMTxifvymrHafWdj8mX6vy5Kay3yL4FvA/+XBllScsJ/T/BMnzV2FscNOg6JREqpR0dIPUrCTAP99766fdzx6R0A9Mztyb66fY6yRnUbxc1Tb7ZWvGkNpdWl/Hbhb4nEIvzt+L+xZv8aHlz+YJOO7ZXbi711exlc1L4rjbSUs0ecjRCCM4adkbCvJhJXopOe8BmV15YIDTbN89z1w9J1FOYEOO+yJx3pq/avsraTdSI2aOmz8KYO7Z6Q1j3fmTb9memex/bO652Qlmq646ygRkJf7cOGAr91K+S4JrTKz2BF3sVplbaSUq6Gjo+yeHL1kzy5+snUGV24lTjA+gPr+eHcH6ZDLAc//aB5K7LMGDCDlze8zHcP/m7aZWkLNKH5rlpU4+PWaDfCtbBzmedUtRowqw4IOidh2l6VYs6OFpAV0GiMxtj8hzMc78zQW9/gppNbN1BlZEniEPlU/Q3//dGR4GdX/NHDgMhNbGgUnYMu4SO/YtwVHDvoWAQCIYTjL+DYLm8o57r3rvMta1yPcdw45ca0RE8s2LGAh1c+DMAth93CU6uforS6aaPkumXrK8KYn9GZzLCSYR0tQrOZ3GeyY5WmdPDujceyZldlguGz5Y9ntrpsL4s8FaP7NPPZyvUeVKXoeFIqciHEu4BXL8dtUsomB4UKIa4GrgYYPLhl7oKls5ZSFa6ie07rLINkPf/p5LC+h/GTQ39i/Z41blZCHvOz3b2S+3WTr2Ng4UBrjc5MZnhxfJrTOefNoV9B4vSlbTo1wR3lemidqUCFiIfaGQsvuDl35LmWIvd6Xloi7+AeeQzukXzFIS+GFA3h68qvAcgOZFuRP8+ve567FiSPmZ7UaxJH9j+y2XXGEVj+lxZOV6toe1Iqciml/wQOzUBK+RDwEMDUqVNbNE43FAjRPdA1P+9unHKj43d2IJsLD+o6w4lf+tZLvLD+Bfrmd0DkgxCJA4Uspe7tR84JJp8N8eKDLuY/a/+TDulS8vq5r9MYbeTmeTfzP0f+j5X+7VHfTqnInzyjmS7Hc/4B25fAWUZYbGMt/N5oeNPgQg1qwVYtB6jwpmvG4mQgXtEeXYmR3UZyy+G3+PanTOs3rZ0lSs4hvZJHRrX3l1JWIIv/PeF/6Zkb73BM++CpvB56ZMdZ8bENVhx+mpg5MgNi0TOQVj0JQohzhRClwJHAG0KId9Ij1jeH12a+xomDT+Swvod1tCgdSmdb5i5Vwzq0eCiAQ7F2BJePu5xHTnmk5QWMOSu+Xdi/9QKlIFVIpKJltDZq5SXgpTTJ8o1kaPFQ/nr8XztajA4nIjPrc9u0hju6AfrFYa1cfzKvR3z7sKu884w9G1a/1rp6FG1Kl4haUWQ+haHOF51zyZhLPMP6AIqy9DVFfzDxB577M4aDZ8LS2fr21Cu985z/OCQZlavoeJQiV3QKRpSM4MPSDztaDAe/OuJXvvuyAlntFv3UpozwHmTnIBBs8lS9io5BdXYqOgXT+uudnYf3PbyDJVEoMg+lyBWdikyZJEyh6EwoRa5QKBQZjlLkCoUC+k/uaAkUrUD1YCg6BeZcIZN6d8DsiN90fl2WllGbio5DKXJFp2B48XBeOecVhhQN6WhRvnmoiJSMR91BRadheImalKmrozqz2wblI1coFIoMRylyhULRbsiEJYkU6UApcoVCochwlCJXKBTthvKRtw1KkSsUCkWGoxS5QqFQZDhKkSsUinbDb4UoRetQilyhUCgyHKXIFQqFIsNRilyhUCgyHKXIFQqFIsNRilyhUCgyHKXIFQqFIsNRilyhUCgyHKXIFQpFu6GG6LcNSpErFApFhtMqRS6EuEcIsUYIsUII8ZIQoiRdgikUiq6Hmsa2bWitRT4XGC+lnAisA37ZepEUCoVC0RxapcillHOklBHj50JgYOtFUigUXRXlI28b0ukj/x7wlt9OIcTVQoglQogle/fuTWO1CoVC8c0m5eLLQoh3gb4eu26TUr5i5LkNiABP+ZUjpXwIeAhg6tSpylGmUCgUaSKlIpdSnpRsvxDiCuAs4EQppVLQCoVC0c6kVOTJEEKcBtwCHCulrE2PSAqFoqui5iNvG1rrI/87UAjMFUIsE0L8Mw0yKRQKhaIZtMoil1KOTJcgCoVCoWgZamSnQqFQZDhKkSsUCkWGoxS5QqFQZDhKkSsUCkWGoxS5QqFoN9QQ/bZBKXKFQqHIcJQiVygUigxHKXKFQtHunDr01I4WoUuhFLlCoWh3JvWa1NEidCmUIlcoFIoMRylyhUKhyHD+fztnF2JFGcbx39u6q5lW60cha6QGXWiImUhReNOFugR2I3QnFSRkUEkXhhB2mRFEBEWBYBFpn9BNkEhRULRZ2bYR5voRmYsW9nnT59PF+yx7zuHMac/ZszPvu/x/MMy7z5k585tnZp4z531njwq5EKJ09IvX3UWFXAghMkeFXAghMkeFXAhRGn09fQD0XNRTscnMYkq/Ry6EEO2wffV2zIyt126tWmVGoUIuhCiNub1z2bluZ9UaMw51rQghROaokAshROaokAshROaokAshROaokAshROaokAshROaokAshROaokAshROaEKn6FLITwA/Btk5cWAT+WrNMpOblCXr45uUJevjm5gnwbudrMFjcGKynkRYQQjpjZuqo9JkNOrpCXb06ukJdvTq4g38mirhUhhMgcFXIhhMic1Ar5c1ULtEFOrpCXb06ukJdvTq4g30mRVB+5EEKI9kntjlwIIUSbqJALIUTumFnlE7AJOAaMArtK3vZp4EvgKHDEYwuAQ8Bxn/fXLP+wex4DNtbEb/D3GQWeYqLbajZw0OMfA8va9NsHnAdGamKl+AHbfBvHgW0duu4Bvvf8HgUGU3D1da4C3gW+Br4C7k81vy1ck8wvMAcYAr5w30cTzm2Ra5K5bboPnazUzQnoAU4AK4A+T+bKErd/GljUENuLf6AAu4DHvL3S/WYDy927x18bAm4CAvA2sNnj9wLPevsO4GCbfhuAtdQXx2n38wvupM/7vd3fgese4KEmy1bq6ustAdZ6ez7wjXsll98Wrknm1997nrd7icXrxkRzW+SaZG6bTSl0rawHRs3spJn9CRwAtlTstAXY7+39wO018QNm9oeZnSJ+uq4PISwBLjWzjywenRca1hl/r9eAW0MIYbIiZvY+cKECv43AITO7YGY/Ee+eNnXgWkSlru47Zmafefs34t3uAAnmt4VrEVWfC2Zmv/ufvT4Zaea2yLWIys/dRlIo5APAdzV/n6H1CdptDHgnhPBpCOEej11pZmMQLyDgCo8XuQ54uzFet46Z/Q38AiyconMZft08LveFEIZDCPtCCP0puoYQlgHXE+/Gks5vgyskmt8QQk8I4Sixu+2QmSWb2wJXSDS3jaRQyJvdnZb5TOTNZrYW2AzsCCFsaLFskWurfShz/7rp1y3vZ4BrgDXAGPDEFLY7La4hhHnA68ADZvZrq0U72H5XnZu4JptfM/vHzNYAS4l3rNe1WLxS3wLXZHPbSAqF/AxxIGecpcDZsjZuZmd9fh54k9jVc86/JuHz8//jesbbjfG6dUIIs4DLmHz3QxFl+HXluJjZOb9I/gWeJ+Y3GdcQQi+xML5kZm94OMn8NnNNPb/u+DPwHrHLIMncNnPNIbe14pVOwCxiB/9yJgY7V5W07UuA+TXtD4kn2+PUD8js9fYq6gc5TjIxyPEJcYBkfJBj0OM7qB/keKUDz2XUDyBOux9x8OUUcQCm39sLOnBdUtN+kNi3mIprIPZjPtkQTy6/LVyTzC+wGLjc2xcDHwC3JZrbItckc9t0H9pdYTomYJA4Cn8C2F3idlf4ARl/7Gi3xxcCh4mPAx2uTSyw2z2P4SPSHl8HjPhrTzPx2NEc4FXigMgQsKJNx5eJX+v+In56312WH3CXx0eBOzt0fZH4ONYw8FbDxVGZq69zC/Fr7DA1j5ilmN8WrknmF1gNfO5eI8AjZV5bbea2yDXJ3Dab9C/6QgiROSn0kQshhJgCKuRCCJE5KuRCCJE5KuRCCJE5KuRCCJE5KuRCCJE5KuRCCJE5/wHwht2xAbeu4QAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "####### Deriving cluster alignment matricies #######\n",
    "# will parse a raw data set for analysis\n",
    "# uses the data table of the form |t|ax|ay|az|vl|vm|vn| to produce calibration coefficents\n",
    "\n",
    "warnings.filterwarnings(\"ignore\", message=\"delta_grad == 0.0. Check if the approximated \")\n",
    "\n",
    "def h(a_vec,coeff): # converts calibration coefiencts into the measurement model\n",
    "    c_a=coeff[6:]\n",
    "    T=np.array([[1,-coeff[0],coeff[1]],[0,1,-coeff[2]],[0,0,1]])\n",
    "    K=np.array([[coeff[3],0,0],[0,coeff[4],0],[0,0,coeff[5]]])\n",
    "    result=T @ K @ (np.add(a_vec,c_a))\n",
    "    return(result)\n",
    "\n",
    "def cost_func(coeff): # calculates the acceleroeter cost function\n",
    "    tot=0\n",
    "    a_array = arrayDict[name]\n",
    "    for ROW in range(1,np.shape(a_array)[0]):\n",
    "        tot=tot+((9.806**2-np.linalg.norm(h([a_array[ROW,0],a_array[ROW,1],a_array[ROW,2]],coeff))**2)**2)\n",
    "    result=tot\n",
    "    return(result)\n",
    "\n",
    "data=[] \n",
    "with open(\"xxxxxx.csv\") as file: # opens data file (replace xxxxx with file name)\n",
    "    data = pd.read_csv(file, delimiter=',',skiprows=[2])\n",
    "    \n",
    "### Characterise data ###\n",
    "leng=data.shape[0]\n",
    "calib_length=295 # sets caliibartion length used on ata set\n",
    "N_wait=100 # sets wiating period for stationary filter\n",
    "i_max=10 # sets maximum multiplier for the threshold filter\n",
    "coeff_matrix=np.zeros([i_max,10])\n",
    "               \n",
    "### calculate threshold for stationary point selector ###\n",
    "\n",
    "v_ax=stats.variance(data.loc[0:calib_length,\"ax\"])\n",
    "v_ay=stats.variance(data.loc[0:calib_length,\"ay\"])\n",
    "v_az=stats.variance(data.loc[0:calib_length,\"az\"])\n",
    "c_init=np.sqrt(v_ax**2+v_ay**2+v_az**2)\n",
    "   \n",
    "### process data to select for stationary points ###\n",
    "# select on raw accelerometer variance\n",
    "\n",
    "row_selec=[]\n",
    "tax=0\n",
    "tay=0\n",
    "taz=0\n",
    "tracker=0\n",
    "\n",
    "var_tab=np.zeros(leng)\n",
    "arrayDict = {}\n",
    "\n",
    "for row in range(0,leng): # calcualates the variance for a finite width around each data point\n",
    "    v_ax=stats.variance(data.loc[row-N_wait:row+N_wait,\"ax\"])\n",
    "    v_ay=stats.variance(data.loc[row-N_wait:row+N_wait,\"ay\"])\n",
    "    v_az=stats.variance(data.loc[row-N_wait:row+N_wait,\"az\"])\n",
    "    var_tab[row]=v_ax**2+v_ay**2+v_az**2\n",
    "\n",
    "for i in range(1,i_max+1): # compares the varaince to a reference value \n",
    "    thres= (c_init**2)*i \n",
    "    print(\"pass:\", i)\n",
    "    print(\"threshold:\", thres)\n",
    "    row_selec=[]\n",
    "    for row in range(0,leng): # saves rows that passs the threshold requirement to a data table\n",
    "        \n",
    "        if var_tab[row]<thres:\n",
    "            row_selec.append(row)\n",
    "    \n",
    "    stationary=np.zeros(leng)\n",
    "    for pos in(row_selec): # produces a data set for visualising when the sensor is stationary\n",
    "        stationary[pos]=1\n",
    "    \n",
    "    N=0 # tracker to keep trck of number of stationary periods identified\n",
    "    count=0\n",
    "\n",
    "    a_array=np.zeros([1,5])\n",
    "    for pos in range(0,len(row_selec)): # converts identified stationary periods into a set of average acceleration vectors and inserts them into an array\n",
    "        tax=data.loc[row_selec[pos],\"ax\"]+tax\n",
    "        tay=data.loc[row_selec[pos],\"ay\"]+tay\n",
    "        taz=data.loc[row_selec[pos],\"az\"]+taz\n",
    "        count=count+1\n",
    "            \n",
    "        if pos+1==len(row_selec): # deals with last row in data table\n",
    "            a_vec=[tax/(count),tay/(count),taz/(count),row_min,row]\n",
    "            a_array=np.vstack((a_array,a_vec))\n",
    "            tax,tay,taz,row_min,tracker,count=0,0,0,0,0,0\n",
    "\n",
    "        \n",
    "        elif row_selec[pos]==row_selec[pos+1]-1: # deals with case when stationary period still continues \n",
    "            if tracker==0:\n",
    "                row_min=row_selec[pos]\n",
    "            tracker=tracker+1\n",
    "            \n",
    "            \n",
    "\n",
    "        else: # deals with case where row is no longer in ststaionary period\n",
    "            if tracker==0:\n",
    "                row_min=row_selec[pos]\n",
    "            a_vec=[tax/(count),tay/(count),taz/(count),row_min,row_selec[pos]]\n",
    "            a_array=np.vstack((a_array,a_vec))\n",
    "            tax,tay,taz,row_min,tracker,count=0,0,0,0,0,0\n",
    "            N=N+1\n",
    "                 \n",
    "    name=\"a_array_\" + str(i)\n",
    "    arrayDict[name] = a_array # saves calaculated accerleration vector arrays toa  dictionary\n",
    "    \n",
    "    print(N)\n",
    "    ### optimise acceleration euqation please\n",
    "    \n",
    "    if np.shape(a_array)[0]>1: # miminimses the cost fucntion for each array of acceelration vectors to find the calibartion paramaters and stores the values to an array\n",
    "        coeff_init=[0,0,0,10,10,10,0,0,0]\n",
    "        bounds=opt.Bounds([-0.1,-0.1,-0.1,9,9,9,-0.5,-0.5,-0.5],[0.1,0.1,0.1,11,11,11,0.5,0.5,0.5])\n",
    "        result=opt.minimize(cost_func,coeff_init, tol=1e-20 , method='trust-constr', options={'xtol':1e-20, 'gtol':1e-08, 'maxiter':5000, 'verbose':1, 'disp': True}, bounds=bounds) \n",
    "        #method='nelder-mead', options={'xatol': 1e-8, 'disp': True}) # method='BFGS',options={'disp': True}) # \n",
    "    \n",
    "        ### store vlaues and residuals within the matrix,\n",
    "        coeff_matrix[i-1,0:9]=result.x\n",
    "        coeff_matrix[i-1,9]=result.optimality\n",
    "    \n",
    "print(coeff_matrix)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "optimistaion initialised\n",
      "Iter  X1  X2  X3 f(X)\n",
      "number of iterations:  1\n",
      "[ 0.02312425 -0.0231861   0.0108204   0.00681461  0.00386604 -0.01418564\n",
      "  1.1327276   1.16329074  1.13570487]\n",
      "number of iterations:  2\n",
      "[ 0.02312425 -0.0231861   0.0108204   0.00681461  0.00386604 -0.01418564\n",
      "  1.1327276   1.16329074  1.13570487]\n",
      "number of iterations:  3\n",
      "[ 0.02312425 -0.0231861   0.0108204   0.00681461  0.00386604 -0.01418564\n",
      "  1.1327276   1.16329074  1.13570487]\n",
      "number of iterations:  4\n",
      "[ 0.02312425 -0.0231861   0.0108204   0.00681461  0.00386604 -0.01418564\n",
      "  1.1327276   1.16329074  1.13570487]\n",
      "number of iterations:  5\n",
      "[ 0.02312425 -0.0231861   0.0108204   0.00681461  0.00386604 -0.01418564\n",
      "  1.1327276   1.16329074  1.13570487]\n",
      "number of iterations:  6\n",
      "[ 0.02312425 -0.0231861   0.0108204   0.00681461  0.00386604 -0.01418564\n",
      "  1.1327276   1.16329074  1.13570487]\n",
      "number of iterations:  7\n",
      "[ 0.02312425 -0.0231861   0.0108204   0.00681461  0.00386604 -0.01418564\n",
      "  1.1327276   1.16329074  1.13570487]\n",
      "number of iterations:  8\n",
      "[ 0.02350516 -0.02328857  0.0107266   0.00662215  0.00388874 -0.01420516\n",
      "  1.13268606  1.16329214  1.13577269]\n",
      "number of iterations:  9\n",
      "[ 0.02350558 -0.02314332  0.01104832  0.00661816  0.00397905 -0.01437943\n",
      "  1.13280523  1.16343163  1.13562008]\n",
      "number of iterations:  10\n",
      "[ 0.02372391 -0.02328344  0.0110836   0.00666532  0.00411511 -0.01449062\n",
      "  1.1328747   1.16307406  1.13560509]\n",
      "number of iterations:  11\n",
      "[ 0.02449156 -0.02355506  0.01099348  0.00627164  0.00411236 -0.0144545\n",
      "  1.13281959  1.16304751  1.13571383]\n",
      "number of iterations:  12\n",
      "[ 0.0249022  -0.02347672  0.01132342  0.00638326  0.00442737 -0.01504127\n",
      "  1.13308411  1.16282318  1.13556085]\n",
      "number of iterations:  13\n",
      "[ 0.0249022  -0.02347672  0.01132342  0.00638326  0.00442737 -0.01504127\n",
      "  1.13308411  1.16282318  1.13556085]\n",
      "number of iterations:  14\n",
      "[ 0.02549261 -0.02378016  0.01160794  0.00590892  0.00440903 -0.01474596\n",
      "  1.1331664   1.16293942  1.1355106 ]\n",
      "number of iterations:  15\n",
      "[ 0.02560338 -0.02349828  0.01139515  0.00627167  0.00458593 -0.01544922\n",
      "  1.13321479  1.1626768   1.1356489 ]\n",
      "number of iterations:  16\n",
      "[ 0.02612474 -0.02381014  0.01191213  0.00600594  0.00474865 -0.01534567\n",
      "  1.1334977   1.16252344  1.1354477 ]\n",
      "number of iterations:  17\n",
      "[ 0.02612474 -0.02381014  0.01191213  0.00600594  0.00474865 -0.01534567\n",
      "  1.1334977   1.16252344  1.1354477 ]\n",
      "number of iterations:  18\n",
      "[ 0.02898146 -0.02457098  0.01241381  0.00517784  0.00482806 -0.01582265\n",
      "  1.13390162  1.16266282  1.13570704]\n",
      "number of iterations:  19\n",
      "[ 0.02898146 -0.02457098  0.01241381  0.00517784  0.00482806 -0.01582265\n",
      "  1.13390162  1.16266282  1.13570704]\n",
      "number of iterations:  20\n",
      "[ 0.02898146 -0.02457098  0.01241381  0.00517784  0.00482806 -0.01582265\n",
      "  1.13390162  1.16266282  1.13570704]\n",
      "number of iterations:  21\n",
      "[ 0.02898146 -0.02457098  0.01241381  0.00517784  0.00482806 -0.01582265\n",
      "  1.13390162  1.16266282  1.13570704]\n",
      "number of iterations:  22\n",
      "[ 0.02887713 -0.02430004  0.01261941  0.00554959  0.00501529 -0.01639399\n",
      "  1.13404269  1.16244189  1.13561763]\n",
      "number of iterations:  23\n",
      "[ 0.02887713 -0.02430004  0.01261941  0.00554959  0.00501529 -0.01639399\n",
      "  1.13404269  1.16244189  1.13561763]\n",
      "number of iterations:  24\n",
      "[ 0.02919791 -0.02465511  0.01279124  0.0053229   0.00498878 -0.01605985\n",
      "  1.13407877  1.16225521  1.13558626]\n",
      "number of iterations:  25\n",
      "[ 0.02921689 -0.02435221  0.01273106  0.00552741  0.00515672 -0.01656247\n",
      "  1.13418259  1.16228136  1.13562093]\n",
      "number of iterations:  26\n",
      "[ 0.02965233 -0.02446153  0.01293261  0.00524915  0.00523753 -0.01649699\n",
      "  1.13435375  1.1624978   1.13556384]\n",
      "number of iterations:  27\n",
      "[ 0.02965233 -0.02446153  0.01293261  0.00524915  0.00523753 -0.01649699\n",
      "  1.13435375  1.1624978   1.13556384]\n",
      "number of iterations:  28\n",
      "[ 0.02965233 -0.02446153  0.01293261  0.00524915  0.00523753 -0.01649699\n",
      "  1.13435375  1.1624978   1.13556384]\n",
      "number of iterations:  29\n",
      "[ 0.02971612 -0.02461042  0.01289526  0.0053048   0.00521779 -0.01644428\n",
      "  1.13431062  1.16220465  1.1356066 ]\n",
      "number of iterations:  30\n",
      "[ 0.02971612 -0.02461042  0.01289526  0.0053048   0.00521779 -0.01644428\n",
      "  1.13431062  1.16220465  1.1356066 ]\n",
      "number of iterations:  31\n",
      "[ 0.02991616 -0.02462571  0.01292956  0.00522853  0.00512929 -0.01649382\n",
      "  1.13425624  1.16231072  1.13563345]\n",
      "number of iterations:  32\n",
      "[ 0.02991616 -0.02462571  0.01292956  0.00522853  0.00512929 -0.01649382\n",
      "  1.13425624  1.16231072  1.13563345]\n",
      "number of iterations:  33\n",
      "[ 0.03066487 -0.02474008  0.01320787  0.00521161  0.00484687 -0.01690389\n",
      "  1.13410054  1.16236377  1.1356574 ]\n",
      "number of iterations:  34\n",
      "[ 0.03066487 -0.02474008  0.01320787  0.00521161  0.00484687 -0.01690389\n",
      "  1.13410054  1.16236377  1.1356574 ]\n",
      "number of iterations:  35\n",
      "[ 0.0310684  -0.02502978  0.01344235  0.00526586  0.0053081  -0.0169057\n",
      "  1.1345578   1.16189216  1.13553528]\n",
      "number of iterations:  36\n",
      "[ 0.03260374 -0.02511421  0.01357972  0.00488273  0.00554055 -0.01761252\n",
      "  1.13499503  1.16228505  1.13550398]\n",
      "number of iterations:  37\n",
      "[ 0.03403055 -0.02571554  0.01447114  0.00511114  0.00515561 -0.01803404\n",
      "  1.1348937   1.16171254  1.13548112]\n",
      "number of iterations:  38\n",
      "[ 0.03403055 -0.02571554  0.01447114  0.00511114  0.00515561 -0.01803404\n",
      "  1.1348937   1.16171254  1.13548112]\n",
      "number of iterations:  39\n",
      "[ 0.03556364 -0.02600653  0.01447344  0.00517287  0.00579469 -0.01817412\n",
      "  1.13554955  1.16187742  1.13519591]\n",
      "number of iterations:  40\n",
      "[ 0.03556364 -0.02600653  0.01447344  0.00517287  0.00579469 -0.01817412\n",
      "  1.13554955  1.16187742  1.13519591]\n",
      "number of iterations:  41\n",
      "[ 0.0366971  -0.02562716  0.01462024  0.00497881  0.00583574 -0.01805749\n",
      "  1.13552157  1.16153247  1.13471576]\n",
      "number of iterations:  42\n",
      "[ 0.03689648 -0.02581928  0.01515388  0.00562856  0.00634195 -0.01782605\n",
      "  1.13525132  1.16197765  1.13569887]\n",
      "number of iterations:  43\n",
      "[ 0.03640838 -0.02551582  0.01473005  0.00509776  0.00579132 -0.01788623\n",
      "  1.13541657  1.16163112  1.13512707]\n",
      "number of iterations:  44\n",
      "[ 0.03416463 -0.02471977  0.01382594  0.00448776  0.00623649 -0.01756629\n",
      "  1.13400613  1.16147047  1.13428016]\n",
      "number of iterations:  45\n",
      "[ 0.02730304 -0.02310034  0.01252619  0.00615579  0.00414967 -0.01462257\n",
      "  1.13591698  1.16268485  1.13797537]\n",
      "number of iterations:  46\n",
      "[ 0.03324946 -0.02697647  0.01494911  0.00341065  0.00558613 -0.01924197\n",
      "  1.13598274  1.16177749  1.13744831]\n",
      "number of iterations:  47\n",
      "[ 0.03230643 -0.02677392  0.01483927  0.00396211  0.0054249  -0.01867587\n",
      "  1.13557246  1.16206744  1.13780938]\n",
      "number of iterations:  48\n",
      "[ 0.02717391 -0.02371339  0.01308125  0.00580592  0.00333714 -0.01553382\n",
      "  1.13607677  1.16254753  1.13866912]\n",
      "number of iterations:  49\n",
      "[ 0.03439344 -0.02608882  0.01456152  0.00383662  0.00578044 -0.01865761\n",
      "  1.13500579  1.16169313  1.13575581]\n",
      "number of iterations:  50\n",
      "[ 0.03670287 -0.02539056  0.01470984  0.00520708  0.00598492 -0.0177632\n",
      "  1.13561383  1.16144833  1.13501568]\n",
      "number of iterations:  51\n",
      "[ 0.03672106 -0.02528426  0.0147914   0.0051429   0.0057916  -0.01784828\n",
      "  1.13547041  1.16147786  1.13503488]\n",
      "number of iterations:  52\n",
      "[ 0.03672106 -0.02528426  0.0147914   0.0051429   0.0057916  -0.01784828\n",
      "  1.13547041  1.16147786  1.13503488]\n",
      "number of iterations:  53\n",
      "[ 0.03669838 -0.02525536  0.01476304  0.00506311  0.00589381 -0.01779136\n",
      "  1.13544236  1.16147667  1.13503302]\n",
      "number of iterations:  54\n",
      "[ 0.03669838 -0.02525536  0.01476304  0.00506311  0.00589381 -0.01779136\n",
      "  1.13544236  1.16147667  1.13503302]\n",
      "number of iterations:  55\n",
      "[ 0.03679433 -0.02540571  0.01476282  0.0051531   0.00586995 -0.01786633\n",
      "  1.13544033  1.16155396  1.13498851]\n",
      "number of iterations:  56\n",
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      "  1.13544033  1.16155396  1.13498851]\n",
      "number of iterations:  57\n",
      "[ 0.03679433 -0.02540571  0.01476282  0.0051531   0.00586995 -0.01786633\n",
      "  1.13544033  1.16155396  1.13498851]\n",
      "number of iterations:  58\n",
      "[ 0.03679433 -0.02540571  0.01476282  0.0051531   0.00586995 -0.01786633\n",
      "  1.13544033  1.16155396  1.13498851]\n",
      "number of iterations:  59\n",
      "[ 0.03679433 -0.02540571  0.01476282  0.0051531   0.00586995 -0.01786633\n",
      "  1.13544033  1.16155396  1.13498851]\n",
      "number of iterations:  60\n",
      "[ 0.03679433 -0.02540571  0.01476282  0.0051531   0.00586995 -0.01786633\n",
      "  1.13544033  1.16155396  1.13498851]\n",
      "number of iterations:  61\n",
      "[ 0.0367926  -0.0254055   0.01477489  0.00515158  0.00586527 -0.01787014\n",
      "  1.135443    1.16155683  1.13499046]\n",
      "number of iterations:  62\n",
      "[ 0.0367926  -0.0254055   0.01477489  0.00515158  0.00586527 -0.01787014\n",
      "  1.135443    1.16155683  1.13499046]\n",
      "number of iterations:  63\n",
      "[ 0.03679199 -0.02541147  0.01477202  0.00514865  0.00586963 -0.01786802\n",
      "  1.13544439  1.16155278  1.13499723]\n",
      "number of iterations:  64\n",
      "[ 0.03679296 -0.02540626  0.01478242  0.00513363  0.00587772 -0.01787043\n",
      "  1.13545282  1.16155361  1.13501565]\n",
      "number of iterations:  65\n",
      "[ 0.03679285 -0.02541     0.01478136  0.00513287  0.00587762 -0.01786939\n",
      "  1.13545236  1.16155152  1.13501844]\n",
      "number of iterations:  66\n",
      "[ 0.03679285 -0.02541     0.01478136  0.00513287  0.00587762 -0.01786939\n",
      "  1.13545236  1.16155152  1.13501844]\n",
      "number of iterations:  67\n",
      "[ 0.0367912  -0.02540476  0.01478769  0.00512515  0.00588478 -0.01786492\n",
      "  1.13546294  1.1615436   1.13503111]\n",
      "number of iterations:  68\n",
      "[ 0.0367912  -0.02540476  0.01478769  0.00512515  0.00588478 -0.01786492\n",
      "  1.13546294  1.1615436   1.13503111]\n",
      "number of iterations:  69\n",
      "[ 0.0367912  -0.02540476  0.01478769  0.00512515  0.00588478 -0.01786492\n",
      "  1.13546294  1.1615436   1.13503111]\n",
      "number of iterations:  70\n",
      "[ 0.0367912  -0.02540476  0.01478769  0.00512515  0.00588478 -0.01786492\n",
      "  1.13546294  1.1615436   1.13503111]\n",
      "number of iterations:  71\n",
      "[ 0.0367912  -0.02540476  0.01478769  0.00512515  0.00588478 -0.01786492\n",
      "  1.13546294  1.1615436   1.13503111]\n",
      "number of iterations:  72\n",
      "[ 0.0367912  -0.02540476  0.01478769  0.00512515  0.00588478 -0.01786492\n",
      "  1.13546294  1.1615436   1.13503111]\n",
      "number of iterations:  73\n",
      "[ 0.0367912  -0.02540476  0.01478769  0.00512515  0.00588478 -0.01786492\n",
      "  1.13546294  1.1615436   1.13503111]\n",
      "number of iterations:  74\n",
      "[ 0.0367912  -0.02540476  0.01478769  0.00512515  0.00588478 -0.01786492\n",
      "  1.13546294  1.1615436   1.13503111]\n",
      "number of iterations:  75\n",
      "[ 0.03679164 -0.0254049   0.01478702  0.00512495  0.00588458 -0.01786504\n",
      "  1.13546309  1.16154376  1.13503193]\n",
      "number of iterations:  76\n",
      "[ 0.03679231 -0.02540474  0.01478763  0.00512378  0.00588372 -0.01786532\n",
      "  1.1354635   1.16154428  1.13503174]\n",
      "number of iterations:  77\n",
      "[ 0.0367944  -0.02540429  0.01478591  0.00512249  0.00588247 -0.01786626\n",
      "  1.13546493  1.1615449   1.13503271]\n",
      "number of iterations:  78\n",
      "[ 0.0367944  -0.02540429  0.01478591  0.00512249  0.00588247 -0.01786626\n",
      "  1.13546493  1.1615449   1.13503271]\n",
      "number of iterations:  79\n",
      "[ 0.03679472 -0.02540621  0.01478756  0.00512102  0.00588051 -0.01786802\n",
      "  1.13546566  1.16154542  1.13503225]\n",
      "number of iterations:  80\n",
      "[ 0.03679472 -0.02540621  0.01478756  0.00512102  0.00588051 -0.01786802\n",
      "  1.13546566  1.16154542  1.13503225]\n",
      "number of iterations:  81\n",
      "[ 0.036796   -0.0254061   0.01478679  0.00512125  0.00588031 -0.01786933\n",
      "  1.13546686  1.16154478  1.13503186]\n",
      "number of iterations:  82\n",
      "[ 0.03680151 -0.02540881  0.01478524  0.00511372  0.00587201 -0.01787524\n",
      "  1.13547826  1.16154431  1.1350325 ]\n",
      "number of iterations:  83\n",
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      "number of iterations:  181\n",
      "[ 0.03701651 -0.02547696  0.01486346  0.00508674  0.00590586 -0.01795383\n",
      "  1.13553034  1.16152091  1.13504423]\n",
      "number of iterations:  182\n",
      "[ 0.03701651 -0.02547696  0.01486346  0.00508674  0.00590586 -0.01795383\n",
      "  1.13553034  1.16152091  1.13504423]\n",
      "number of iterations:  183\n",
      "[ 0.03701651 -0.02547696  0.01486346  0.00508674  0.00590586 -0.01795383\n",
      "  1.13553034  1.16152091  1.13504423]\n",
      "number of iterations:  184\n",
      "[ 0.03701668 -0.02547694  0.01486346  0.00508676  0.00590591 -0.01795379\n",
      "  1.13553043  1.16152087  1.13504415]\n",
      "number of iterations:  185\n",
      "[ 0.03701668 -0.02547694  0.01486346  0.00508676  0.00590591 -0.01795379\n",
      "  1.13553043  1.16152087  1.13504415]\n",
      "number of iterations:  186\n",
      "[ 0.03701668 -0.02547694  0.01486346  0.00508676  0.00590591 -0.01795379\n",
      "  1.13553043  1.16152087  1.13504415]\n",
      "number of iterations:  187\n",
      "[ 0.03701668 -0.02547694  0.01486346  0.00508676  0.00590591 -0.01795379\n",
      "  1.13553043  1.16152087  1.13504415]\n",
      "number of iterations:  188\n",
      "[ 0.03701668 -0.02547694  0.01486346  0.00508676  0.00590591 -0.01795379\n",
      "  1.13553043  1.16152087  1.13504415]\n",
      "number of iterations:  189\n",
      "[ 0.03701756 -0.02547668  0.01486357  0.00508692  0.00590582 -0.01795373\n",
      "  1.13553058  1.16152072  1.13504386]\n",
      "number of iterations:  190\n",
      "[ 0.03701871 -0.02547627  0.01486382  0.00508704  0.00590617 -0.01795357\n",
      "  1.13553035  1.16152049  1.13504357]\n",
      "number of iterations:  191\n",
      "[ 0.03701888 -0.02547636  0.01486374  0.00508717  0.00590603 -0.01795356\n",
      "  1.1355306   1.16152056  1.13504344]\n",
      "number of iterations:  192\n",
      "[ 0.03701934 -0.02547661  0.01486383  0.00508747  0.00590596 -0.01795357\n",
      "  1.13553094  1.16152068  1.13504348]\n",
      "number of iterations:  193\n",
      "[ 0.03702046 -0.02547652  0.01486408  0.00508752  0.00590609 -0.01795364\n",
      "  1.1355311   1.16152051  1.13504329]\n",
      "number of iterations:  194\n",
      "[ 0.03702049 -0.02547651  0.01486413  0.00508753  0.00590615 -0.01795363\n",
      "  1.13553105  1.1615205   1.13504335]\n",
      "number of iterations:  195\n",
      "[ 0.03702049 -0.02547651  0.01486413  0.00508753  0.00590615 -0.01795363\n",
      "  1.13553105  1.1615205   1.13504335]\n",
      "number of iterations:  196\n",
      "[ 0.03702088 -0.02547646  0.01486417  0.00508762  0.00590618 -0.0179536\n",
      "  1.1355311   1.16152047  1.13504322]\n",
      "number of iterations:  197\n",
      "[ 0.03702088 -0.02547647  0.01486418  0.00508763  0.00590619 -0.0179536\n",
      "  1.13553109  1.16152047  1.13504323]\n",
      "number of iterations:  198\n",
      "[ 0.03702088 -0.02547647  0.01486418  0.00508763  0.00590619 -0.0179536\n",
      "  1.13553109  1.16152047  1.13504323]\n",
      "number of iterations:  199\n",
      "[ 0.0370209  -0.02547649  0.01486419  0.00508764  0.00590619 -0.01795361\n",
      "  1.13553111  1.16152049  1.13504324]\n",
      "number of iterations:  200\n",
      "[ 0.0370209  -0.02547649  0.01486419  0.00508764  0.00590619 -0.01795361\n",
      "  1.13553111  1.16152049  1.13504324]\n",
      "number of iterations:  201\n",
      "[ 0.0370209  -0.02547649  0.01486419  0.00508764  0.00590619 -0.01795361\n",
      "  1.13553111  1.16152049  1.13504324]\n",
      "number of iterations:  202\n",
      "[ 0.03702091 -0.02547652  0.01486421  0.00508759  0.00590621 -0.01795366\n",
      "  1.13553109  1.16152047  1.13504326]\n",
      "number of iterations:  203\n",
      "[ 0.03702091 -0.02547652  0.01486421  0.00508759  0.00590621 -0.01795366\n",
      "  1.13553109  1.16152047  1.13504326]\n",
      "number of iterations:  204\n",
      "[ 0.03702091 -0.02547652  0.01486421  0.00508759  0.00590621 -0.01795366\n",
      "  1.13553109  1.16152047  1.13504326]\n",
      "number of iterations:  205\n",
      "[ 0.03702091 -0.02547652  0.01486421  0.00508759  0.00590621 -0.01795366\n",
      "  1.13553109  1.16152047  1.13504326]\n",
      "number of iterations:  206\n",
      "[ 0.03702091 -0.02547652  0.01486421  0.00508759  0.00590621 -0.01795366\n",
      "  1.13553109  1.16152047  1.13504326]\n",
      "number of iterations:  207\n",
      "[ 0.03702091 -0.02547652  0.01486421  0.00508759  0.00590621 -0.01795366\n",
      "  1.13553109  1.16152047  1.13504326]\n",
      "number of iterations:  208\n",
      "[ 0.03702091 -0.02547652  0.01486421  0.00508759  0.00590621 -0.01795366\n",
      "  1.13553109  1.16152047  1.13504326]\n",
      "number of iterations:  209\n",
      "[ 0.03702091 -0.02547652  0.01486421  0.00508759  0.00590621 -0.01795366\n",
      "  1.13553109  1.16152047  1.13504326]\n",
      "number of iterations:  210\n",
      "[ 0.03702091 -0.02547652  0.01486421  0.00508759  0.00590621 -0.01795366\n",
      "  1.13553109  1.16152047  1.13504326]\n",
      "`xtol` termination condition is satisfied.\n",
      "Number of iterations: 210, function evaluations: 2620, CG iterations: 882, optimality: 3.61e-06, constraint violation: 0.00e+00, execution time: 9.8e+03 s.\n",
      "[ 0.03702091 -0.02547652  0.01486421  0.00508759  0.00590621 -0.01795366\n",
      "  1.13553109  1.16152047  1.13504326]\n",
      "3.6105377879516775e-06\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<function matplotlib.pyplot.show(*args, **kw)>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "### finds calibartion coeffecients for the gyroscope triad ###\n",
    "# this section is very slow due to neededing to intergrate all the gyroscope measumernts from the data table for each cost function evaluation\n",
    "\n",
    "\n",
    "data=[]\n",
    "with open(\"xxxxx.csv\") as file: # opens data file (replace xxxxx with file name)\n",
    "    data = pd.read_csv(file, delimiter=',',skiprows=[2])\n",
    "    \n",
    "### Characterise data ###\n",
    "leng=data.shape[0]\n",
    "calib_length=6000\n",
    "\n",
    "### remove gyroscope offsets from data ###\n",
    "cl,cm,cn,cost_count=0,0,0,0\n",
    "cost_count=0\n",
    "\n",
    "for row in range(0,calib_length): # calauclates zero offset\n",
    "    cl=cl+data.loc[row,\"vl\"]/calib_length\n",
    "    cm=cm+data.loc[row,\"vm\"]/calib_length\n",
    "    cn=cn+data.loc[row,\"vn\"]/calib_length\n",
    "    \n",
    "for row in range(0,leng): # removes zero offset\n",
    "    data.loc[row,\"t\"]=data.loc[row,\"t\"]/1000\n",
    "    data.loc[row,\"vl\"]=data.loc[row,\"vl\"]-cl\n",
    "    data.loc[row,\"vm\"]=data.loc[row,\"vm\"]-cm\n",
    "    data.loc[row,\"vn\"]=data.loc[row,\"vn\"]-cn\n",
    "    \n",
    "def callbackF(Xi,report):\n",
    "    print(\"number of iterations: \", report.nit)\n",
    "    \n",
    "    print(Xi)\n",
    "\n",
    "\n",
    "def gyro_cost(g_coeff): # defines the cost function\n",
    "    g_tab=np.zeros([leng,3])\n",
    "    \n",
    "    Tg=np.array([[1,-g_coeff[0],g_coeff[1]],[g_coeff[2],1,-g_coeff[3]],[-g_coeff[4],g_coeff[5],1]])\n",
    "    Kg=np.array([[g_coeff[6],0,0],[0,g_coeff[7],0],[0,0,g_coeff[8]]])\n",
    "    \n",
    "    for row in range(0,leng):\n",
    "        g_vec=[data.loc[row,\"vl\"],data.loc[row,\"vm\"],data.loc[row,\"vn\"]]\n",
    "        g_calib= Tg @ Kg @ g_vec\n",
    "        g_tab[row,:]=g_calib[:]\n",
    "    \n",
    "    cost=0\n",
    "    \n",
    "    for pos in range(1,a_vec_count-1):\n",
    "\n",
    "        qc=Quaternion([1,0,0,0])\n",
    "        aq_i=Quaternion([0,a_tab[pos,0],a_tab[pos,1],a_tab[pos,2]])\n",
    "        a_vec_f=np.array([a_tab[pos+1,0],a_tab[pos+1,1],a_tab[pos+1,2]])\n",
    "        \n",
    "        for row in range(int(a_tab[pos,4]),int(a_tab[pos+1,3])): # intergrates gyroscope reaigs between data collection periods\n",
    "        \n",
    "            dt=P.loc[r,\"t\"]-P.loc[r-1,\"t\"]\n",
    "            w1=np.array([P.loc[r-1,\"vl\"],P.loc[r-1,\"vm\"],P.loc[r-1,\"vn\"]])\n",
    "            w2=np.array([P.loc[r,\"vl\"],P.loc[r,\"vm\"],P.loc[r,\"vn\"]])\n",
    "            [qc,qw]=func.RK4(qc,w1,w2,dt)\n",
    "\n",
    "        qcc= qc.conjugate()\n",
    "        aq_g=qcc*aq_i*qc\n",
    "        ag_vec=np.array([aq_g.x.real,aq_g.y.real,aq_g.z.real])\n",
    " \n",
    "        cost=cost+np.linalg.norm(a_vec_f-ag_vec)\n",
    "            \n",
    "    return(cost)\n",
    "\n",
    "i_chosen=10 # specify which set of accelerometer calibration coeffiencents you want to use\n",
    "a_vec_count=arrayDict[\"a_array_\" + str(i_chosen)].shape[0]\n",
    "a_tab=np.zeros([a_vec_count,5])\n",
    "a_tab[:,:]=arrayDict[\"a_array_\" + str(i_chosen)][:,:]\n",
    "\n",
    "a_coeff=np.zeros(9)\n",
    "a_coeff[:]=coeff_matrix[i_chosen-1,0:9]\n",
    "\n",
    "for pos in range(1,a_vec_count):\n",
    "    [a_tab[pos,0],a_tab[pos,1],a_tab[pos,2]]=h([a_tab[pos,0],a_tab[pos,1],a_tab[pos,2]],a_coeff)\n",
    "\n",
    "### performs the minimisation to calcualte the calibration coeffiecients ###\n",
    "\n",
    "print(\"optimistaion initialised\")\n",
    "print(\"[ T_01 T_02 T_10 T_12 T_20 T_21 K_00 K_11 K_22 ]\")\n",
    "gyro_coeff_init=[0.02312425,-0.0231861,0.0108204,0.00681461,0.00386604,-0.01418564,1.1327276,1.16329074,1.13570487] # initilisation values or minimisation\n",
    "gyro_bounds=opt.Bounds([-0.1,-0.1,-0.1,-0.1,-0.1,-0.1,1,1,1],[0.1,0.1,0.2,0.1,0.1,0.1,1.2,1.2,1.3])\n",
    "gyro_result=opt.minimize(gyro_cost , gyro_coeff_init , callback=callbackF , tol=1e-3 , method='trust-constr', options={'xtol':1e-8, 'gtol':1e-8, 'maxiter':1000, 'verbose':1, 'disp': True}, bounds=gyro_bounds) \n",
    "    \n",
    "### prints out final calibartaion coeefienct result along with the reisdual\n",
    "print(gyro_result.x)\n",
    "print(gyro_result.optimality)\n"
   ]
  }
 ],
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