{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# NXP IMU\n", "\n", "![](imu.jpg)\n", "\n", "Our inertial measurement unit (IMU) contains 2 main chips:\n", "\n", "### FXOS8700 3-Axis Accelerometer/Magnetometer\n", "\n", "- ±2 g/±4 g/±8 g adjustable acceleration range\n", "- ±1200 µT magnetic sensor range\n", "- Output data rates (ODR) from 1.563 Hz to 800 Hz\n", "- 14-bit ADC resolution for acceleration measurements\n", "- 16-bit ADC resolution for magnetic measurements\n", "\n", "### FXAS21002 3-Axis Gyroscope\n", "\n", "- ±250/500/1000/2000°/s configurable range\n", "- Output Data Rates (ODR) from 12.5 to 800 Hz\n", "- 16-bit digital output resolution\n", "\n", "# Earth's Magnetic Field\n", "\n", "The intensity of the field is often measured in gauss (G), but is generally reported in nanoteslas (nT), with 1 G = 100,000 nT. A nanotesla is also referred to as a gamma ($\\gamma$). The tesla is the SI unit of the Magnetic field, B. The Earth's field ranges between approximately 25,000 and 65,000 nT (0.25–0.65 G or 25-65 $\\mu$T). By comparison, a strong refrigerator magnet has a field of about 10,000,000 nanoteslas (100 G).\n", "\n", "| Prefix | Symbol | Decimal |\n", "|--------|--------|-----------|\n", "| milli | m | $10^{-3}$ |\n", "| micro | $\\mu$ | $10^{-6}$ |\n", "| nano | n | $10^{-9}$ |\n", "\n", "## Geographical Variation of the Field\n", "\n", "![](world_field_map.jpg)\n", "\n", "\n", "## Temperal Variation of the Field\n", "\n", "The Earth's magnetic field is always changing and often change every 200k - 300k years.\n", "\n", "![](earth_magnetic_field.gif)\n", "\n", "## Noise\n", "\n", "### Hard Iron Interference\n", "\n", "So called hard iron interference is caused by static magnetic fields associated with the enviornment. For example, this could include any minor (or major) magnetism in the metal chassis or frame of a vehicle, any actual magnets such as speakers, etc... This interference pattern is unique to the environment but is constant. If you have your compass in an enclosure that is held together with metal screws even these relatively small amounts of ferromagnetic material can cause issues. If we consider the magnetic data circle, hard iron interference has the effect of shifting the entire circle away from the origin by some amount. The amount is dependent on any number of different factors and can be very large. The important part is that this shift is the same for all points in time so it can be calibrated out very easily with a numeric offset which is taken care of by the calibration process\n", "\n", "\n", "To compensate and recenter, for each axis (x,y,z), we will calculate the mean offset ($\\alpha$):\n", "\n", "$$\n", "\\alpha_x = \\frac{x_{max} + x_{min}}{2} \\\\\n", "mag_{corrected} = mag_{raw} - \\alpha_x\n", "$$\n", "\n", "### Soft Iron Interference\n", "\n", "Soft iron interference is caused by distortion of the Earth's magnetic field due to materials in the environment. Think of it like electricity - the magnetic field is looking for the easiest path to get to where it is going. Since magnetic fields can flow more easily through ferromagnetic materials than air, more of the field will flow through the ferromagnetic material than you would expect if it were just air. This distortion effect causes the magnetic field lines to be bent sometimes quite a bit. Note that unlike hard iron interference which is the result of materials which actually have a magnetic field of their own, soft iron interference is caused by non-magnetic materials distorting the Earth's magnetic field. This type of interference has a squishing effect on the magnetic data circle turning it into more of an ellipsoid shape. The distortion in this case depends on the direction that the compass is facing. Because of this, the distortion cannot be calibrated out with a simple offset, more complicated math will still let the compass account for this type of interference though." ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "# Setup\n", "\n", "Import libraries and define helper functions" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from __future__ import print_function\n", "from __future__ import division\n", "import numpy as np\n", "import shelve\n", "from mpl_toolkits.mplot3d import Axes3D\n", "from matplotlib import pyplot as plt\n", "from math import sin, cos, atan2, pi, sqrt, asin\n", "from math import radians as deg2rad\n", "from math import degrees as rad2deg" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def read(filename, keys):\n", " \"\"\"\n", " Reads in a data file and returns a hash.\n", " \n", " todo: automatically pull all keys?\n", " \n", " In:\n", " filename - name of file\n", " keys - array of key names to get from the database\n", " \"\"\"\n", " db = shelve.open(filename)\n", " ans = {}\n", " for key in keys:\n", " ans[key] = db[key]\n", "\n", " db.close()\n", " return ans" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def normalize(x, y, z):\n", " \"\"\"Return a unit vector\"\"\"\n", " norm = sqrt(x * x + y * y + z * z)\n", " if norm > 0.0:\n", " inorm = 1/norm\n", " x *= inorm\n", " y *= inorm\n", " z *= inorm\n", " else:\n", " raise Exception('division by zero: {} {} {}'.format(x, y, z))\n", " return (x, y, z)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def plotArray(g, title=None):\n", " \"\"\"\n", " Plots the x, y, and z components of a sensor.\n", " \n", " In:\n", " title - what you want to name something\n", " [[x,y,z],[x,y,z],[x,y,z], ...]\n", " Out:\n", " None\n", " \"\"\"\n", " x = []\n", " y = []\n", " z = []\n", " for d in g:\n", " x.append(d[0])\n", " y.append(d[1])\n", " z.append(d[2])\n", " \n", " plt.subplot(3,1,1)\n", " plt.plot(x)\n", " plt.ylabel('x')\n", " plt.grid(True)\n", " if title:\n", " plt.title(title)\n", " \n", " plt.subplot(3,1,2)\n", " plt.plot(y)\n", " plt.ylabel('y')\n", " plt.grid(True)\n", " \n", " plt.subplot(3,1,3)\n", " plt.plot(z)\n", " plt.ylabel('z')\n", " plt.grid(True)" ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def getOrientation(accel, mag, deg=True):\n", " ax, ay, az = normalize(*accel)\n", " mx, my, mz = normalize(*mag)\n", " \n", " roll = atan2(ay, az)\n", " pitch = atan2(-ax, ay*sin(roll)+az*cos(roll))\n", "\n", " heading = atan2(\n", " mz*sin(roll) - my*cos(roll),\n", " mx*cos(pitch) + my*sin(pitch)*sin(roll) + mz*sin(pitch)*cos(roll)\n", " )\n", "\n", " if deg:\n", " roll *= 180/pi\n", " pitch *= 180/pi\n", " heading *= 180/pi\n", "\n", " heading = heading if heading >= 0.0 else 360 + heading\n", " heading = heading if heading <= 360 else heading - 360\n", " else:\n", " heading = heading if heading >= 0.0 else 2*pi + heading\n", " heading = heading if heading <= 2*pi else heading - 2*pi\n", "\n", " return (roll, pitch, heading)" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def find_calibration(mag):\n", " \"\"\"\n", " Go through the raw data and find the max/min for x, y, z\n", " \"\"\"\n", " max_m = [-1000]*3\n", " min_m = [1000]*3\n", " for m in mag:\n", " for i in range(3):\n", " max_m[i] = m[i] if m[i] > max_m[i] else max_m[i]\n", " min_m[i] = m[i] if m[i] < min_m[i] else min_m[i]\n", " bias = [0]*3\n", " for i in range(3):\n", " bias[i] = (max_m[i] + min_m[i])/2\n", " return bias\n", "\n", "def apply_calibration(data, bias):\n", " \"\"\"\n", " Given the data and the bias, correct the data \n", " \"\"\"\n", " c_data = []\n", " for d in data:\n", " t = []\n", " for i in [0,1,2]:\n", " t.append(d[i]-bias[i])\n", " c_data.append(t)\n", " \n", " return c_data" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def split(data):\n", " \"\"\"\n", " Break out the x, y, and z into it's own array for plotting\n", " \"\"\"\n", " xx = []\n", " yy = []\n", " zz = []\n", " for v in data:\n", " xx.append(v[0])\n", " yy.append(v[1])\n", " zz.append(v[2])\n", " return xx, yy, zz\n", "\n", "def plotMagnetometer3D(data, title=None):\n", " x,y,z = split(data)\n", " fig = plt.figure()\n", " ax = fig.gca(projection='3d')\n", " ax.plot(x, y, z, '.b');\n", " ax.set_xlabel('$\\mu$T')\n", " ax.set_ylabel('$\\mu$T')\n", " ax.set_zlabel('$\\mu$T')\n", " if title:\n", " plt.title(title);\n", "\n", "def plotMagnetometer(data, title=None):\n", " x,y,z = split(data)\n", " plt.plot(x,y,'.b', x,z,'.r', z,y, '.g')\n", " plt.xlabel('$\\mu$T')\n", " plt.ylabel('$\\mu$T')\n", " plt.grid(True);\n", " if title:\n", " plt.title(title);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Run Raw Compass Performance\n", "\n", "First lets tumble around the imu and grab lots of data in ALL orientations." ] }, { "cell_type": "code", "execution_count": 64, "metadata": { "collapsed": true }, "outputs": [], "source": [ "cal = read('imu.dat', ['imu'])" ] }, { "cell_type": "code", "execution_count": 65, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def breakout_imu(data):\n", " print('imu length:', len(data['imu']))\n", " a = []\n", " m = []\n", " g = []\n", " ts = []\n", " for d in data['imu']:\n", " aa,mm,gg = d[0]\n", " timestamp = d[1]\n", " a.append(aa)\n", " m.append(mm)\n", " g.append(gg)\n", " ts.append(timestamp)\n", " print('duration:', ts[-1] - ts[0], 'sec')\n", " return a, m, g, ts" ] }, { "cell_type": "code", "execution_count": 66, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "imu length: 1000\n", "duration: 33.968228817 sec\n" ] } ], "source": [ "a, m, g, ts = breakout_imu(cal)" ] }, { "cell_type": "code", "execution_count": 70, "metadata": {}, "outputs": [ { "data": { "image/png": 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5QaSs8CQz0XciPdXwdt8F0wfsC4VxybF8/L21nPPERnZXtLJ4kn/7SSizZjXC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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plotArray(a, 'Accel [g]')" ] }, { "cell_type": "code", "execution_count": 71, "metadata": {}, "outputs": [ { "data": { "image/png": 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c5+L939kBKFr+K5+uxmgIvTDadI2Xzf+1k60t8LX3XB9SMxoe8XF628s8sHE+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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plotArray(m, 'Mag [uT]')" ] }, { "cell_type": "code", "execution_count": 72, "metadata": {}, "outputs": [ { "data": { "image/png": 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cquDqyy4e9nMtjTpFUeURFi9f3Sd0e/f64xhPlHLNZYUAvFS+mfWnezWVi/Ki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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plotArray(g, 'Gyros [dps]')" ] }, { "cell_type": "code", "execution_count": 73, "metadata": {}, "outputs": [ { "data": { "image/png": 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/WvdPvPLHV4L3aWKRUrJl9xZmnj0Ta7zFlOOmqIZM32P2A7PZsnvLOybfMVi4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\n9Fb5sCgC+Qg3FudH91VyrDuX2WU2d99tUxXJVSSweGWK0sHoHGdTvdV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4HQ4q3bHoikWU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\nNcOAGOEwGAzlI+gc7+4OP2YwU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29naUlZUhMTFRdagqwzA4dsyERx7R9UakHD76iMDl4nDjjerKCV9Vxf33UzKT\nF3K8USnHAS++6FVHlJayePllE4YPF2AwiJEkzwN33DEUY8emYMECF157jfQW+ARMnXoOX301DgAL\nnY5gzhwrCOFQVCTghRfsWL48AYLg1SYTIu67u5vpVWGIx8bzYiTb0WGFXp8Glwt+eelAihE1klbm\nmpUI9JxyO/45ekApRVNTOITrQX0hvCxi2Se9w5gzZw7Gjh2LU6dOYffu3XA4HFIEHQ2uuuoq6f/F\nxcV47733AMS/bRq4xAlZPuAwXILjeR4ul0sybNfpdDGNMJKDRrM0GqFE6Xa7o5aXcRyn8MiQo7u7\nG2VlZRAEAfn5+WFrLqlULdh7RonYYDBg0qRJfh4JNCKeO5fDt9+mKCLQPXtYVFXpYLeL5OZwEKxc\nacDvf++QUgVybfG6db7pCS/Gj/dg3TpHADIHVq2yo67OgQkTGlFUNBxAIq6+OhEffOBVOsyePQxX\nXNGBL78ECgvbkJLSgoMHxVv+H/zAhDffzMLmzdmorNSjspLrLdyJ+6cpC4YhuOsusU26udmB116r\nRFnZiKC6aRo9A26/5pZw885yqJE93ad8W4GkaHLbynA8qC+E9jleGuTOzk7peqCFxHjg9ddfx223\n3QYg/m3TwCVOyEBkZjmEEHR2dqK9vR08z6OgoMCPaGIBJWSamiCExBx1q6Us6IRoQog0oSMSnDyZ\nit27WVx+OVBcrJQXdXR0oKysDDqdLuD7s38/g2uu0cHhAFjWiCuuMIBhAJYViSwzk+C557wNF4Ig\nFs327TNixw6rQm7GMDQC9df5siwUZAz4E157O4uHHzajqUlZF1BGmCwuv9yAyy8HgGG9P+LFbzab\nsXMnj08+8U7xnj+/Db/6VRuMRiP+9jex60qvF/PHgPg9mjbNjhtv9F8o5edGo2ffBWj58gQQEjqC\n9oXvuW/dqpNy46F0zcFsKwPlY202G2pqauJm5xkO4qlBjnfb9LPPPgue57FkyZKYjy8QLnlCDgeE\nEDQ0NKC6uhopKSlISEjAlClT4r4f2nCh0+midnfzhZyQu7q6UFZWBgAREzGNaDMzCZYtmwKXi8Uz\nzwBr17pxzz0COjs7UVZWBo7jAhoi0W3U1HhtKwWB4N//HiI1XqxZ40ZrK9MrH6NSMSjyrcuXO6Uc\naVcXenPG/i3Pv/mNU4owfRtFfKVm0ehWeZ5HWloa9uyhZCzu32JJxeWXm2E2d+G3v3Xhs89SMX9+\nM5KSOlFiLLYqAAAgAElEQVRZKepkA0WQ6rlh5QIkCMr3wzeCDkSsvucOIKB+O1wEy8ceOHAACQkJ\nqnaevs0+8SLqeHbpxbNt+o033sCHH36Izz//XDrXeLdNAwOckOX2lJmZmZJh+9dffx3X/dAJzjab\nDePHj4+46SQYWJaFzWbDoUOHAEROxACwcSOL3/yGhyBAlhMVyXTpUh48fwyFhRaMGzfOL3UjJ/JH\nH+WlxgvxO+klUdp40dbGYMECr7SN48TX+uqAaQR755201VwZIfM88MorYipDTlJqhNfVFdl76huN\nTpniwf/9Hyft/7vveJSVDQIwCGvXikT53XcZOH3agbQ0BxYurEZeXjPa2tpUCaqoSK8gRvkxexUg\n6hF0MGL1PXcAfkqNeIFlWXAch8GDB6t6UJvNZrS1taGmpgZOpxM8zyuKiElJSVGZD8XTxyJebdMf\nf/wxVq9ejd27dysMw+LdNg0MAEJWW5k9Ho/U3pydnY3Zs2fHfR4ZVR5UVIhypIkTJ6KmpiauXhZd\nXV04e/YsbDYbpk+fHlXEvXEji4ce4qU2Yo+HamtFMhUEgq++ykdTkx6HD1NCFVBcTKTUhNMJRWQH\nECxa5MFHH3HweMROOJqumDGjGzrdKaxapcfx45mYO9eJxMREHD2ahiuuYFFU5D220lIWu3apfQXF\nzjdA3aM4WDEsFNTMil59Vf7d8KopAG8E6vEQ7NplAGDA++9PxqZN1bj++izs2wds2yZg6tROjBvX\nhurqaknpICfpWbOSpKi3oCBwBK1WJCwp4ZGZmYLZs/3PPZBSQ/638XSdox7Uvgs3NR+io5Pknhby\n9yFUIfFCRcjB8NBDD8HhcOBHP/oRALGwt2HDhri3TQMDgJDlcLlcqKmpQUNDA4YNGxaTK1ogyP2O\njUYjJk2aJCkPAknqIkVnZyfKy8vBMAxGjx6NxsbGqL5c+/czWLrUS8YUOTndqK5OBiFiJPrOO4lw\nuSBF0AYDhzVr3Ni2jZVSEyxLJAMfngeWLROwbJmAPXtYdHaWITFxJEaPrkR6ejfy8vJRWJgo5WjN\nZjNyc8WL9MABsYhkMpnwyScjQIgRvm3KtKhGCODxxCf6o+RUW8soolEqiZO3SHOcd396vR52O1G8\nhy4XcPBgErKzWdx0EyX3FKxalS0V66xWNz78UMC0aZ3Iz/e2CCcmJmLQoCTcfbdIUoKQiKIif2L1\nej3r4PEAPD8dEyfa/Yg1mBojFte5SFNAauZDVAVFiVo+qFTe2GEymaRCYjy9kOWRfSygaUI1xLNt\nGhgAhExHzVOfiREjRoR0RYvmg6cTnCsqKgL6Hcfa5iwn4vz8fKSmpsJms6G+vj7ibe3fz+CZZzif\ngplIKIWFVqxbR/DNNybU1gKvv85Jka/YHSamMsSIWIx+dTpISgh6rRYXExQWdmPfvnKkprb2NqGM\nhSAIcDqd0Ol0SE9PR3p6ukQwhBD89KcWDB7cgcLCNuh0qXA6WRAikr1OR3DLLRbcfTcBx3FhR3jf\nfZeEDz/UB4wUvbPzxEUIEIn+xhtd2LePg8NBneJoOsabIti6VYe33tLB5RJPnErnSkpSVYt1HKfv\nTdMAen0aVq0aIhF1fr5FWqTkBbTk5CTccotI0iUlafjpT029KhXx8yOEVShVQkGtAFhSQsKOluNB\njPJWaV9PC7vdLrVKyzvwBEGQ0h0mkynqQmJ3dzfGjRsX0/FfCFzyhNzc3IzTp08H9ZnwBY1kw/nC\nUQezqqoqpKamYtq0adIEZ19EazBEC2osy0pELN9mJCS/fz+DLVtYbN7MweXytv32nk0vCXVh5kwO\nP/yhB/v3M3j7bS8h0UjY4xHTBSxL8MMfChgzhmDTJg6EiLfvn3/ugcl0EhaLBXq9HrNnz5aOwVeG\n6Gsmv2WLHjt3GrB4sYBhw+woKeGRluZGU5MbU6d2YuzYVpjNZrjdbvzHf4i3vI2NJumW1/czPnRI\njwcfHAe3m1WNBuXkBBD8/OcujBzpJaeCAitWrjT0tk+L6RKaIhEjUIei/frKK+sxY4YDgwapF+vE\nRhOv5E+uqli1ikV7e6qCGOVjlr780oFXXiGSZJDeMfgqVUKRqrwAyHHo9fMIP1ruSzMjeQeebyHx\nzJkz0Ov10gBXm83mNxfQZDL5jZvyRTyNhfoTlzwhZ2VlYe7cuRGtopSQg2kTw5ngrLbdSMizo6MD\n5eXlYFlWtaAGhE/IIrGyeOstDk4nZLfY3i60//gPAX/4gwcpKTZJKlhcTLBrl0sq3B05wvQSL0D9\ng//wB3H/W7ZwvU0YBIMHn8LgwYORlZWFffv2BT22rVt1MjN5wOXyJTyvPA3I6P1RuoPRIpLVasWJ\nEyk4eTIbl13mwmWXsSgpSYXLxQbsnPNVJ/iOXSoqEvD73zuwb5+/URDgTXfQvzt/3gaADViskxcy\n5UStJnkDgJISPebN0wFIxYMPigsXzcvzPDB+vBXHjydCEFg4HAS/+Y0HkyY5cMstdsyfz6suUmq+\nGZGoMS5EUwgd4pqVlaUISuiCZTabFXMB5VNMaJ6aFhL7wwu5L3DJE3I05jvBcr10Akh1dTWysrKC\nTnBW226gJg45KBFzHBeQiCnC0Vnv38/gqqtoLhTwtYxkGIKEBJFYi4sJTp9WbrO4mKC4WCTd1as5\nicwZhuDuu8W/cTqd2LChGnv3srjmGiOuvbYgrEWwtJTF22/Taju95Q8vJ6zmDlZayuLxx8X0wxtv\nEGzYUIYxY6rA86lwu5leAmtAVxcvtQwHa1Om8CVXUeMrmhfJfTF27LBi2DCv3E2+oMiLdQD8iNpX\n8uarI77jDhecTvF5hiEYM0bA0qVOeDwEjz1GJ9wAp04l49SpZGzbBjz6aAWuuuoUAEi5eUpOc+Yk\nKPLRkagxLuSAU9+FINBcQPkUk+bmZmnhfvrppyEIAj777DN4PB4UFBRE7fr25JNPYvv27WBZFtnZ\n2XjjjTcwbNgwEEKwdOlSfPTRRzAajXjjjTcwY8aMqM+b4pIn5GhAu/XkEAQB58+fR21tbdTKjFAp\nC9p0wfN8SCKmCIf03n6b9StMyX0gcnMJNm50S00gwUh+wQIBej0nXby33+7E2bPlaGlpwfz5Obj1\n1qFhHRPV6JaU8FIem2EIZszwYNWq8PKggL9SQJl+ACorR+Pee1uRkHAGVVVjMGNGNyZMsKGhwSy1\nDCckJGDQIBPuvlskK0ISVc+BKh7k6RWWFRcTefR9yy3qHWy+BTZfovaVvAFKHTEgNqDQ9FFVFYvH\nHkvo3b83t00/W4+H4IUXcnHllUMwe7YbNpsNZrNZoRvmOA6pqUn461+zcPRoOn74QxZFRcp0ktpC\ndSEiZLrfcAvxgQqJmzdvxj333AOPx4O//OUvYFkWr776alTH89hjj+FPf/oTAOCll17C//t//w8b\nNmzArl27cO7cOZw7dw6lpaV44IEHUFpaGtU+5LjkCTmahL/cEzmWCc6+CJRekBNxrFOofbF7txP7\n9jEA5BGA3DcYWLbMo+jIC0bIxcUEa9a48c9/Mpg/vxkMcxpG4+iw8vNUs5yRIaC52YD58z1+6YJI\nydhXKRCoMWTKFAtuvdXT+z543wt5AYlKsuR5SbkkS6/XS4Qvn5nHcQDHefcXqQIhWBQtj1ypVag8\nn00Lid58stJEXxBoCkKQbt/l6gJqQJSSYsH48eW9ShcX9Ho9ysuz8cADYxW+y/K89oUg5FhlbwzD\nYMSIEbDZbHjsscdiVlnJgyaLxSLxzfbt2/Gzn/0MDMOguLgYnZ2daGhoiLkH4ZIn5GhAUwuVlZUx\nTXBW2648QqYNI/Em4v37GWzeTFBZacVXX6VK0aKaheTy5R7cc4+SAIMR8tdfEyxfLuahv/pqCBYu\nzMSIEeEdE22nFgSuVz4nyrlCpQsCQa1hQt7lR7fX3R14G4EKSL4NDlQ/PHhwJlh2quTwBgDXXOPG\nzJmCtL+qqug9HsLREcvz2ZQTXS4C/3WAhEz/qA0JAEQDog8+YBW+y1u3NsBobIbJZJKsbPvbzyJe\nCwEhJG4LyooVK/Dmm28iNTUVX3zxBQDRx2LkyJHSa6iPxfeekCP9srjdbrS3t6OzsxM5OTlx1SrT\nCJkSsU6ni3tEvGePC9ddJ9pOAl6bSqqGmDqV4H/+h+vtcAOuv96fANUIWRAE1NbW9hbucqXobO9e\nDnPnhi4q7tnDSvlPKp+Tk2g0jRyBouFYGkMo1BocCCGYOtWJzs42PPlkBjweQKcTcNVVRzFrlgsm\nkwmtraa4aM0p1M7FN+dttVrx3HM6HDyYKvNuFlNAS5a4IlrkKPR6Pa66isW6dV7f5TvuGIq8vGRY\nLBapuePgwYNgWRZGo1GRnw6lcogFsW430juYUD4Wzz77LJ599lmsXLkS69atw9NPPx3T8QXDJU/I\n4cLlcqG6uhpNTU1ITU3FsGHDMGbMmLjuo6enB21tbQAQdyKmY57efTcZTmculF7BBAaDWLTbs8c7\nwt7jEZ3XaMGOQk7ItIj50UcdqKgYialT0yRLS71ezCmHg8xMb+OIvHMvnAJSMN/kaKPraECLiA89\nBCQlObB9uw433ujCz342VpGfbW1tRXNzM86fPy+RFCWqeC3ucqLu6nLgvvta8d13qQp5osHgNTyK\ndh/+76/oa+HxeJCSkoJRo0YpVA7t7e2q7dLxPv9YIJ8kHw5C+VhQLFmyBNdeey2efvrpPvGxAAYI\nIauNoqdwOp2oqqpCS0uLpFXu6OhAc3Nz3PZPzdt1Oh0SExMxbdq0uG3b6XTCbrfj0KFD6OycCGBQ\nr2+v95Z65kwBa9aIeeITJ4jCeU2NUKnHcn19PaqqqlBXNwqPPz5TsrRcs8ataKEOhRMnUvC734mN\nJBwH3HZbHQwGO6ZN60BSkhtVVV7S8h09FKqjLNxoOF6DYOkx/e53Cb1pGw4FBQKKirz5WYZhkJKS\ngrS0NCk33djYCLPZLBURKUnJu9CihRi5WxUqkGjsO9UQ6P2Vpw6CqRzUJkvLzz/SOXjxgNlsjlsw\ndO7cOYwdOxaAmDeeMGECANHHYt26dbj99ttRWlqK1NTUuHjYDAhCVgMdTtrW1ubXNBLpoNNAoESs\n1+slaU0oTW64oAsJHSAqCEW46y5v9Z8Wd0QCFcl440YWS5eKqgbqvOZLqIQQ9PT0oKmpCUOGDMGs\nWbNQUpKoyNW2tTH43e/C0z7v2cPi4MEhsnSFgFGjUvDEEykgZJAisvzkk24cPJiEmTN7UFQkwGQy\n4fPPh8TFsSyekOumHQ5RnlZU5D+HkbrF+Vb55XPgWlpaYLVawTCMgqRpETEcUAlaPFI1wSC/Uxk2\nTAgZ7co7MSmCzcEzGo2K98B3cY7XotrV1RUXf3MAeOKJJ3DmzBmwLIvRo0djw4YNAIBrr70WH330\nEfLz82E0GrFp06a47G9AELI8Qg42wZkiFs8JOkWjvLwcBoMh7p7KLpcLVVVVaG5uxpgxY5Cfn4/D\nhw/jk084xfw3jgN++UsP7rrLawS0dCkv2V4Kgkis8uNubW2VvI6HDh2K8ePHAxCjaFHPLW43nDSF\nvIgHDAXDCOA4Fno9g6uuMgBwKDqsqqqGYtkyMRLeuhXYsqUJ48e3Iz+/DjxvAiEMeJ4gP/88WltZ\n1Qu2P1BayuLoUeX35ehRFqWlrBSNBit0BZoDJ7/tlxcRaYsw/VEz3+kPTbDvncpf/mJANIMvAp2/\nIAhSN6KvLI+SdLz8luNpLPT++++rPs4wDNavXx+XfcgxIAgZEM20Kyoq0N3djZycHNUJzhTREHJ/\nEDHNcY8erZSZiZMtnGBZg5SqIIRg1CivwfyePazCt4JlvcTa1taGsrIyJCUlYdq0aejp6UGXj2cl\nfavCvR6++ELe3gtwHCMtEIQAL7ygx/z5HonEfBUTR4+m48orkzByJDB6tB1793KYPduCCRMIurq6\nUFdXJ3Vj+eZp+0qORUnJO5RcfG8PH+Zwww3eluVolAeBbvvlnYhy8x15NBlOs1Gs8P18Dhww4rLL\n7HHbPsuy0meoJsuTe3scOHAgYpc4OeTTQi41DAhCrqysRENDA3JyclBQELqDLBJClg/4TEhIiDsR\nu91uVFdXo7GxESNHjlTV+7Isi5kznVi71t1r+iMWdOSRbGYmlUWJJLJ0qQfjx7fj4MEy6PV6xTw8\netFT7NnDwu0WydXtVi8E+h5vZqYVHDdDisjpAgEA116rl/LRlMQCKSYAmscUIKpGlP678jxlXZ3S\nNY1e4MFqCOGitFQ075G7240ZI6Cqyr8lO55SML1ej4yMDD/zHRpN0kKxw+FAR0eH4pY/Ws9hNfh+\nPjNmdIPj1D1b4gm5LI9GtRMnTpQWKovFgtraWlitVhBCVMdN+X4Wl2rbNDBACHnEiBEYNWpURIND\nQ13AciJOTExUnSsX7G9DHYvb7ZasQqlDXaDbUo7jUFrKoq2Nwdq16gW3tjamt9gnkonZXIeqqgZV\ntQdVWcjN56mhfKBCoCAIqKmpwfnz5zFy5Ej8+teTwHEevwWCyt98c8LRKiYC5SlpbrqnpwednZ0w\nm804dOiQIpo2mUxhRVXyyFiuYFi61OlnJt8foPnmpKQkZGdnIzFRtDIdOnSoquewwWBQkHQ0RTTf\nzyctrQccF7/AIxzQQqJayzzg/7k3NjbCbrcr8vN1dXWoq6vTCPlCQq/Xx2R7KYcvEatNWg4G30Gn\nvvB4PKipqUFdXR1GjBiB4uLikKSxbVsWVq1KhyCIzRa7drn8inULFgjgeQ4uFwHHEVx/fTKmTx+i\nuj2WZXHkSCIefFAXUlkh9/YYMmQIiouL8c03OrzzDosFCwSsXevG5s1m3HmnAcXFHABl67V/JBz7\n7bd87FB2djZ6enpw/vx5jB07Vrr9b2hogNls9oum1XKV9HadLmaXX+6RbC79zeTDW3DjCbo/tSYP\nOryUnre8iKbWiRjsuOWfz8mTnn73sgjVpef7uVPQJh+LxYKPP/4Yn376KTo7O7Fr1y4UFhbiueee\ni9rLguKFF17Ao48+ipaWFmRlZWleFsEQj4uDFr0qKiqiImKKQIQsn2IybNiwkJ7NFPv3M1i1aoSU\nGnA4/FMKFosFZWWNIGQ8ABYMw/RG80SKguVEy7IsDh5Mkm7PHQ5/ZQUhBE1NTaioqEBWVhbmzJmD\nQ4f0+POfRUc5txvgedGIyO1Ow7FjwLRp4kLx0UdOfPEFUeSQ+xqEkICqB3lU1dDQIBWTTCYTzp3L\nQnl5FnhenOun14udcoCYB583z43ly51+++pPQg5W1JMPL/UtotFouqOjA7W1tQrtcKic/NGjidix\nIxlXXMH022cYbZeevMnnqaeeQmJiIqZOnYorrrgCx48fD2iXGy5qa2vx6aefYhTNyQFReVkwDMOQ\nELfmA4KQowHDMJKAnBKx0WiMmogpfP0s5F4Z0UwxEYt1DOQDQ2lKwWq1ory8HFarFWVl0yAIrORX\nLDaICNIIJr2ek6Lg2bP1SE019xqyi40GmZnUM8GrxkhNTZXc7tQc5eS+v06nd6EoLiaYOTP6hoVI\nEYwcA0VVbrcbu3c78atfDYLTyYDjBFxzTQOuv74dDQ1G3HdfrqrHQzj7jDeiWQBYlg1YRKREHSgn\nf+pUGn7zm0lwu1n8+c+IeNpItIjn+Ka0tDRkZWXhcnHUeEx45JFHsHr1amn6NBCdl0UoMgYGCCFH\nc3FwHIempibU1NTAaDSqTgCJBrRgKHePGzJkSNQt2gsWCNDpWIkIGUa8qE6ePIeuri7k5+f33kKx\nWLsWvX7FQE0NsGWLN59Lp4CIXrwp+PGPbb1aZrEFt62NQUdHB86dO4eEhAQ4HDPw4YdGKbJWc5ST\nj1nS6cLv6rsYwPM8jhwxwuVieu0uWcyYkYUbb9RhzRqdwuPhnXeakJbWjqSkJCQnJ8ctPRYu4il7\n0+v10Ov1QXPyH3zAweVKk4qZO3eaMW6cQ5ow3VeIxOktGOJZ1Nu+fTuGDx+OqVOnKh6P1MuCYZgc\nAMsJIQ8xDCPm9nohJ+oBQciRgEaAtCgQLyKmYFkWDQ0NaG1tjYmIKYqLCRYssOCzz0ygwz9ffrkL\nL7+cgYkTJ0qLEXVpe+MNFocPs9i0iVOMK/L14m1tpbP2RHXGZ591YsiQVvzkJwU4fjwZixd7I+td\nu1w4fVq56E2cKOB//1ckpnffbcZ115lQXCzeGhJCYDabkZCQcFG00gbCvHlu8LwegiAuYvPne2A0\nGnH11SzWr/d6PNx8cxaGDNFLHXltbW3o6urya/RQq/gHQ7hDSPtah+x7F3HzzSzeeIPA7RZHaqWn\nC1i9mkNBQTXGj2+HwWBQnHu8OvHcbndchgRHOi0kmJfFc889h08//TTmYwIwFMB4ACCEBFzRL96r\nJQKE68/b0tKCiooKmEwmZGZmIicnJ25kTItfTU1NyMzMjMnG0xdZWcrPb/DgwRgyRPnY/v0MHn2U\nV8xhAwh++UsPRo0SUxKPPsorvHhphAwQ7N2biYMHMzFunEuhlLDbCV58kcPXXysvuPx8IuWkTaYm\njBypB5CIjo4OnD17FhzHweVywePxhCyqXUjQ2ER+M+mvCGEAeItpHo8HI0eOBM/zqraevkoPtUUp\nkiGk/Z2zLioS8N//fRhtbYW9Hs5Deo9zGHbssGLCBJvfFBcACgOicIqIvoiX01ukEXIgL4tjx46h\nsrJSio7Pnz+PGTNm4MCBA9F4WSQDSGMYpghACgArAFvvjwtAByGkbUAQcjD4EvGUKVNgNBpx+vTp\nuLRPC4KAhoYGVFVVITs7GyNGjEBKSkpcyJhqfufM6cb778+G281CpwPuusv/wqUkKp/DptdD6uQD\ngEmTRLI1mex4/PF0hW5Zngemig2PR4yed+5ke/PN3otriEzAceyYCX//O4+xY89iyhQLCgoKpIsx\nUFGtPxs+AoGa59O8u7xtO5gihBAClmVVbT3ljQ5NTU0oLy+X/B3ouZ4+nY4XX0yWiqpqLePy6Dkz\nUxkhhxtZx4JJk7oxe7YTL7ygV5Ex+kvSaCee2pilcA2I4pVD7unpiUunXmFhocLzZsyYMfjmm2+Q\nlZUVjZdFJoDBABYBSIeYsiAA3BANvPcC+NuAJeRAREwRS/s03T4l4szMTGnCSFVVVcxET6Vx9fX1\nGDlyJH7yk6EYNKgKlZWjAxr+yEkUEKNfXy+L6dPtSE2twPr1yfB4ckAtHMVr3atBLi4WRzdt3CgO\nNRW9ZSFtW6cDliwRiWD3bif+8z/zewtg6fj4YxdMJnHqNI3s1IpqtOHDt7ik5vfQV9FhsGaVQKRX\nWsri/feHYdEiHRYu9N/moUN6lJQYMW9euvR3paUsPvqIYPr0LthsNtx7byocDkqwYlpg2rROuFw6\n6HQ6v+h5/fpEXHklK20r3Mi6r98jOeR3BnL4GhDJpYi+BkzxipAFIbQPR6yIwssiDcDHAP4HwFgA\nHIBEAAaIQyTLgQGYsqBEXF5ejuTkZD8iplAb4xQO6BTqyspKZGRk+M3ci3TQqRzUk5gqMqhGua2t\nDYIQWL9LpW2zZ3tQUsKBKiAOH6ZDRb3+GDk5OViyZBjeekvMEfpqkAFxrt706WKhzuUS86t//rMb\nhw8zYBiRjGfMcODUqXL84x8pcLlyJP9kUWlBQnbPqTV8+EZZVKql0+mQnJwcNGcZTqeenGQBMUJe\ntcouOacBotTNO2pJSXreBhIj3ngD+OADqx9Z+5IlANljSbjjDlcvGdPiKLBkSTtGjjyPY8fESdvv\nvZcHh2O0FD1/840JP/oRpGOO1YwpEsRqgRrMgMg33WO320EIQWpqqsJ3ORIQQuLq/CdHVVWV9P8o\nvCyGA2gmhLQDCKiPGxCETEF1sykpKZg2bVpQ/WGkEbJcl5uenh5w+Gm4g07l8G2+8C0EHj6cgPvu\nGwK3m5GKbDTypSY/6rsk0lQUuePdsGHAmjVH0NExVRFxy7fFcd68Kl1f1q3zwO12o6qqCgcPNvmQ\nOwJ2+YW6xVY+7x9lOZ1O9PT0+OUsqeohnEG3crLkOH3vVGhvezfgJU7fAiglPXkDiXxyNoUaWYrH\n732suVk+3YXp/YzSMG6c+F0SycqNzZsJXC6A5wXk5FTj9GkbUlJSMG7cIOh0owGgX7sH44lAU1wO\nHTqE4cOHw2azoaWlBVVVVXC5XH6+FklJSQGLiJSML5YahQxvAWhgGOYOAD8A8G8A5wghpxiGyQTg\nJoR0DRhC/vbbb2EwGEISMYVOp4PdHto8hRCC5uZmVFRUIDU1FTNmzAhaCQ416NR32zTtMWjQoICF\nwH/8IxFOJ+On9wWgKMAxDOk1BxJvg6dMOQrAFFY3oO+25Bpjj0eUzGVm1mLQoDKF58awYcBf/1qJ\n48ezcM01iX7plFC32OHcguv1emRmZipyltQ9jbZOd3Z24sCBA1IbMY2oqfJBTpYeD5EKmmrEybJi\nGofm4Snp0dt3h0OATsf4kWGg23v6GMcBZWXeAQI0Qr7xRu+dGsMwWLBAhw8+sEmLlMnEYeTIiQCA\n1FQzXnnlLPbt06OwsA0JCQ6UlyuVHrEqHqg+P9zPJ14QBAFpaWl+0bSvr4XFYgEAv2KxwWCA1WqN\nuSuvL0AIOQ0ADMOcB9AOoAjADxiG6QEwAcBfAeweMIQ8ffr0iFbFUBGyPPWRkpKC6dOnhyXJCTTo\n1HfbNNrOyMjArFmzAt6a7d/PYOvWBKkAx/PeKHT/fgY1NaK0jY6Ip+b0TzxRj1/9aqJqLm3jRha/\n/e10EMLAYPBG3PKJ02LOmOaNGXg8AvbvN+CZZ/xlfNOn27FwYTeys/3fn1C32MGeDxZZy93TUlNT\nQQhBQUGB1EZcUuLBV1/ZMWlSDSZPNmPkyMHguAlStK821UQ5jNXuZwJPb9/fe68FN9yQiqIi5fsQ\n6PZ+xw4rtm7VYcsWHU6fVpJlYaEHv/yl//dQXlQ8flzsQjQajUhJScHNNwM33wwQkqVom6bey6dO\npegutoIAACAASURBVOHkyWzMm+fGvHlcxPphucyuv1MkvtdwIF8LQRAUXtt1dXXYuXMndu7cCafT\niVdffRVTpkzB1KlTo1ZSPfXUU3jttdekKP65557DtddeCwBYuXIlNm7cCI7j8NJLL+Hqq68Oa5uE\nkL0Mw+wHMA5APoCbAcwG8BIwgFIW4dy2yhGIkKlOuby8HCaTKeyIO9R26bYpyYcTbQP+tpqFhV4y\nlqcXCgud+O47vWSHyfNDwPP+CwP1Tabb9G3FXrLEA4YB7rzTg3ffdWDDBjF9kJDA4Kab0sHz/vk5\n2vWohlBFoUDPhxOZUcKeNcuJrCxvG/HRo0bcfz/921HYtq0HV1/djcWLu/Duu2m9zTACZs3qwkMP\ntSE3VyxI7diBkLnSoiIBCQnnMWGCCWqXT6AZeVu3wqexRsTs2aG/s4F0yGpt0+K0E/HcN20ieOWV\ns8jNrfQzIQoWTcuLa+EW9fobcq9t6g44depUXH755XjxxRchCALefPNNLFmyBPPmzYt6P4888gge\nffRRxWMnT57E3//+d5w4cQL19fW48sorJalnKDAMk0gIsQE40fuznWGYdRDVFgOHkCOFL3HKTYWM\nRmPAYmAoBIqQfT2JwyV5GrXa7QIIYfDttyyuvppFYaEgyaYIEZCf342zZ7NCzsLbs0cuYfP6JssJ\nXqcDUlMr8PrreWAY0UVObfoIRbACXqiiUKDnQ0VmcsLW6TLw0ksmTJoE1b/dt8+AH/wgFb/+NYsd\nO7wNH3/8I8GECYwkx2MYO664QpRp1dcHluNFqgsuLWWxZYtOITOkqpapUz2SZ0YwHXK4aQj5uYu/\n56K6Ogfz5rkxfrxVEU3bbDZJBZOcnKzoRKTn3N9zDeOB3NxcPPDAA322/e3bt+P222+HwWBATk4O\n8vPzceDAAcwN4ugv87F4imGY0QDOADgO4ByAAgBtwAAi5EiT+DqdDi6XSzKeLysri8lUiMJXZdHR\n0YGyMn9P4khw551ufP21DadPJ0tmQIcOsdJtt8HA4OGHU/Hwwy4/IyFfLFggwGDg4HCIZLx2rUi0\nq1dz0oVMCME334yB2832thUrp4/4IpSdaSiXN7XnQ0VmcuIhhOCvfx2BnBw2qPeyL7kABrz11ggF\n0ajJ8QghiqYHj8cT0fetpMQ7yYVhCObO9SAhAZgyxaOq5vCFPKcbCvJz5zhgyxZdb/FSjx07AMCI\nkpJh0jnLc/FtbW2oqqqCw+GAx+NBWVkZTCYTJk0yYfZsUdnSVxroSM4xGOI5LQQA1q1bhzfffBOz\nZs3CCy+8gPT0dNTV1aG4uFh6DW2bDgZZe/QuAIUAsiHmkW8DYAFQzDBM1oAh5EjB8zzsdjsOHjwI\ng8EQMxFT0KJeV1cXysrKwLJs1BOolQoKk18jB8sS/PCHAv7wB49EwMXFHuzfz2D1ak6VmGmL9aZN\n3fjFL5Jxzz1i48bw4Q1g2XEQBBY8D8ycyWLvXrGwFWqsk2/Kwu12o7a2FjzPIzk5OS7+vL4Xv7fA\nJubODx5MxQ03eI1wAv0tJf9AKZFw5HgWiwWHDh2CwWAIKccrLWVRW0u9qsUawDffcPB4gN27OQiC\nsriotnBF0jotP/faWgabN+ukO4WtW3XYulXnc87wMyHq7OxEfX090tPTFcqWEydS8Nhj0+FysdDr\nddi2rQeXXRaflu4L1aUXrG36gQcewJNPPgmGYfDkk09i+fLleP3112M6PkLIlwC+BACGYUZAbKee\nDuDnAEYMGEKOZHWlUavD4cD06dPjOgGERhtlZWXIz8+PabVWKijoo95OPIMBCjIGlCSuJpHbsoXF\n5s0c3O4MnDgBmEznMHp0PTIzC6SLnhBg7VpOUQALBpqykOuohwwZAqfTierqakmmJs9fJicnhxTv\nB4usKfGsXGnAl19yfhI137/1jewiKVb5Nj10d3djypQp8Hg8qi3E9LVnzmRgyZLBkvE9gF4C9s5G\n7H2HwfOB87ORRo/yRUckYG+7fDjnTAiBTqfzU7bs3q2T7ppcLuCf/2yHTlchydJi8baIt9NbuAjU\nNu2Le++9F9dddx0ARNM2rQBNXxBCzgM4D+BzAGuAAZSyCAednZ0oKysDx3GYMGECjh07FjcyFj2J\ny+B0OqHX6zFz5syYtylXPbCs0CtBgzTgdMkS/wjYd2IHLdjt38/g6qt1snlxopPZ8eNZuO22UfjN\nb3ip9drtpuOgRBIINdaJYRh0dnaipqYGgwcPRlFRkUTQlEioiTjNX1ZWioUmuXQpOTk5osGmRUUC\nfv97B77+2hi06LRpE4/lyxN6Df7FyDCWYhXNIatV/+Xn+fnnHsVgWjrqimVpA4P4HjMMwZIlrqAp\ngGikbP4pGigIOtA5B4pW58/3KCbL3HprNmbPzoR8LqCvTjzcKdvxjJDlLmyxQG6nuW3bNkyePBkA\ncMMNN+DOO+/EsmXLUF9fj3PnzmHOnDlhbzeYDeeAIeRgFzFNHzAMg3HjxsVtRDig9CTOz89HZmYm\nvv7665i363Q6kZ5eidWrXaipyYXb3YhXXpkgEbIaGQNKEpcX97ZsYaXR9iI5CDAYGFx3nQmlpcDm\nzZxCWicI3lbpYEXCtrY2VFZWQq/XY9asWVKzjG8XpNxEnIJ2bPX09Pj5XMhTAUlJSTh4kA+Ygnjv\nvQ58+GEPfvrTLFUlxvLlCQqD/5ISHsuXOyWyysgQerXI4eVFg+XL5ed5000sXn8dUlqFZUV9+NKl\nFTh5MgGffDIMggDodAQ33NAJt1sX95Zf3zuFcAp0gVIk6qmgwLI0ujD5TtmWFxBpNH2hIuRg+N3v\nfocjR46AYRiMGTMGr776KgBg0qRJuPXWW1FQUACe57F+/fq4+bAMGEJWQ3d3N8rKykAIUU0f0Nxn\nNNGH3W5HRUWFwpM4HkUJ+dDTMWPG4Ne/HobSUhaPPpoNlyv0INLiYoJdu5TFPUIIqqocALyqkYQE\nAffd5wbA4plnOEXR6cc/9uDTT7leEgFefNFfYdHT0yNJfWhEota5GAzyji1fnwvamVdbW4sDBzhF\n7vJvf2vGwoV6SVs7a5YLGRn1mDw5Q7F9OrjUdxq3vMgHuKNqfAjns5YTWEaGINM1izKtr78244sv\nCKZO7cCwYS04etSicMeji1I8W4HDGaMVLFoNdwxXMIP8np4eWCwWRTqL53lJ6USbPKJBd3d33Aj5\nrbfeCvjcihUrsGLFirjsR44BScg0hysIAvLy8gJ+QFT6Fkm/vMPhQGVlJdrb25GXl6fwJJYjUmmU\nfMQTHXp64ACHlSvFkUlOZ7qimSEzkwQt3BUXe0AIwccfd+PDD81wu9MhJ2S7ncPatRzWr0ev45lY\nwEtIEJ3c6BRqQKmwsNlsKCsrg81mw7hx45CWloaGhgbYbLawzzUUdDqdYhLzrl16Re7y8889yMg4\nJvnniob6DthsNsnaUz64lJ4bxwEvvGBXEG40jQ+RfLbBCOwHP2Dwgx8wEI3AMqVt+zY8WK1WfPvt\nt4rUjtFojDkqC6SYCEbIsaos1Louae2hp6fHz8PE1xEwVPDU3d0dV5VFf2PAEDLDiHrS8vJyuN1u\n5OXlhTSpjoSQXS4XKisr0draijFjxmD8+PEBL8pQg07lCORjQYtzXp5jJVXF4sVCr7exf+GOorOz\nE//8ZwMeeaQQbvcg2TP0dSLZ0siYmtivWePGpEkEb7+tTHu4XC5UVFRIC9GgQYOk8w9nine4ULvg\nffO9N92UhhkzZkgpj7a2NrS3t2PbtkYcOGDEzJk9OHkyGw6HUXVwqRzR5pLVPvt4SMLU3PEOHjyI\nwsJCKU8rbx+Wy/GSk5PDDi6CNd4EckvrqzZqlmWh0+mQlpaGESNGSI/Lc9OBztnXETBSc/qLDQOG\nkF0uF86ePYvc3NywP5BwDIbkKYTRo0ejuLg45CodDiGrDRGVt7fu2cNCtNrwjkxiWVFVEahwBwBm\nsxlnz54FANTVTYHbTWfyKYmY/i56OniNbtraGBQXC1LaY948NwYPrsKBA/UYPXo0xo0bp9reGkmX\nZCAEuuADydhoyiMjIwN797rxyCOT4XQCW7cCf/xjO3heNOjhOAE33XQEycke1NZ6c9M6nS7ixofS\nUhZ///toCAIbsSdHLAhHjldTU6Mw4wmmegh2ZxAoQu7LNmq1wEiv1yvulNTOmUbTFosF7777Lrq6\nulBVVYXU1NSYp4+8/PLLUn540aJFWL16NYDo26bDwYAh5GiUDcEsOH09iamZTjgI5mcRaIioLxYs\nEEAIB7krWF4elbj5F+7kqYSxY8ciPT0dTieDF18E7HZa0QfkxMwwBNdfL+Cjj1gIgiijo117e/Yw\nmDixCYScASFDgxoUqXXqRZNPD3bBh8pdfvttiuJvz51LBlWJMIyoBR85shs9PT0KlUdCQgIGDTLh\nZz+j+drA00y8aZAc/O1vjIJ01Z3e3H3a4abmQSw345GrHhiGUage5s5NU9wZZGQIUsdgVpZ6XaUv\n26ip4iaacwbEVIXFYsG3336LDRs24OTJk7jqqqvwpz/9Karj+eKLL7B9+3YcPXoUBoNBMqqPpW06\nHAwYQgaCt/CqQafT+UXIgTyJI0GgyJsOEaVjykO1ZovRq/x4xX/lhbu5cx1ISyvDkSMdfqkE2gTy\n0EP0Y/ZaP4o6ZoJlyzy4+moB27axWLxYACGkV8fMQKcbig8/TENubvCvSbxSFrGkD2bM6FJIsgCa\nGxfd3b76SofiYmWRSe7LqzbNhBbVaO7Sa7/J+i0Y8kYVhgG6utCvRvLy9yKUHK+lpQUJCZV4/nkj\nTpwYhOxsDo8/Plyasr1+fQLS0xNx5IjepxjZd23UsQ44TUlJwaJFi/D888/j9ddfj7nA/r//+794\n4oknpGCJpo+iaZuOBAOKkCOFnDgFQUBdXR1qampiHk7qGyF3d3fj3LlzYFkWBQUFYWmft2xhFbPx\nAOD4cQ4bNxLcc4/Y8tre3oFTp2qRl5cZMKfd1sYoNMU09XH55V0YPpzHiRMGKR+9Zw+LvLweOBz6\nXjUHsG+fAfPnB3evi1fKIpYLfvJkc8Sa20C+vPL2aXnucsSIwdDpJoIQ0QtDboRUUsLj/vudWLdO\nD48HeOklPQgJ3YUXCvHKzavJDqdPFxek//5vHvIp2++9l4h//zsLLpcYJTMMkJAgX1TcEckEw4Hb\n7Y5blBkPtdPZs2exd+9erFixAgkJCVizZg1mz54dVdt0JPjeE7LL5UJ9fT0qKyuRnZ0dl+GklOgt\nFgvOnTsHt9uNsWPHRlT99b8ORWJ+8UUO7e3teOaZLLhc2TAYsjFligs1NVD1scjM9HaDAaKM7f+z\n9+XhUZTp9qeqq7uzJ2QPISGBbCRIEpIQBMEFFVEccBwVEXFUruPMCEFx/Tlz9V53EHFF74wCLgFc\nZlEgIAKyqSSAgGzZF7JC1l7S6a2qfn9Uvuqq3tJJOoGJnOfhCekk1VXV3ed7v/c973kffZTFe+8F\nwWKhsGmTzYydZXmcPRvY+3vuTYpkZ2a3MyEpGZZlxUiTaE8H053XFwaiuXUGV/natLRuBAY2YPv2\nHkyZYgBFdWDjxggUFEyExSK0R5OonNwPe4tPoH/Fv6GcOE0WJPsp2zqdfy8ZC+85nqdgNHL46qs2\nNDdb8NBD48Ro2luR/2AjZECQovbHmdFd27TVakVHRwcOHTqEw4cP484770R1dfWgzs8TjChC7k/K\ngoyqJ904ZCaeN8BxHGpqakT9s3Tr6CkWLeKwbp2i1yjeFiVXVVF4/vkI8Dwltgt/9hmNwkKFU9UF\nGeNEjnHLLSyCgyFGRELEzEvSI849MtyBpCx0Oh3KysrAMAwyMjJA0zR6enqg0+nQ0tICvV4PlmXF\nKnlFRTiOHQvC1VfDq9tfKeGtWOGdohPR1d58MxARUYm8vDzwPI89e2hYLJSkG0+eo58xw4Rnn7Ui\nP58Xz60/qYyhJGQC+53JE09IAxLyHhGaiPbuhSya/uKL8xg1qlNceD2RpjmDNwi5q6urX01f7tqm\n33//ffz2t78FRVGYMmUKaJpGW1vboNum+8KIImRPIPUkVqvViIyMRFpamleObTKZUF1djfPnzyMy\nMtKlRtkTTJ0qkOeWLWQbZ2u/ZVmIEy0YRthSulJd2D99dDQwfboFCgWx4QQUCkpsBiFz9jwlY0DY\n4re3t6O7u1vUJlutVlitVqfdeQaDAfv3W7B4cRQsFgqrVnF4881TmDqVd5j00V8M54QLiqJw7bUU\n1qyx5a7/8AcL3n1XBY7joVLxWLSoCgrFeRw+LLQSb92aIMrxPEll9FfPPhBIF7AzZ2gcP05eLxIM\nAHPmWHH11Sr4+NBYu9YWTd9+ezjCwxWDluN5I2XhzS69+fPn4/vvv8e1116L8vJymM1mcdr0YNqm\n+8KIImR3b1ypzSbxJDabzbLVbqAgQ0RbW1uRkJCAgIAAr9gJ/uEPWmzbFgJ36VmeB7KySLuz40QR\nnheKgYRob7ihBadPtyA2dgJqa/1ABqJSFIUrruAwejSPxx5zbd8phdVqRU1NDVpaWuDj44O8vLw+\nr5lU+8+cUcFqFSItq5VGQ8N4BAe3QqfTiUMvXRXX3GG4JlxIScw+d63VCvfg7rstyM+PBxAvthJf\neaUJH3zA9w6P5RETU4bqal68TtLYQjDUEbL9ApaeTuoFtohfpQIKCmz38O67LZLrowA4l6bpdDp0\ndHR4JMfzxnV603rzgQcewAMPPICJEydCpVLh448/BkVRQ9o2DYwwQnYFom6wt9nkOK5fg07tIZXG\nxcfHixrllpYWsSV0INDr9aioqEBjox8YZhRsA0xtqQtSMGJZYbo0ydSQr/YTRRYu1GPq1HKYTCF4\n4okcicmQ8AfffGP7MMyezbslZI7j0NDQgPr6esTFxSEzMxM1NTX9WoDsFRXXXEMhPDxcnHwB2Ipr\nOp1OjL6k8i1C1ABw8mQAdu4UVAFStcVQTLg4fToITz0lj8JXrLC39LQRFyBPeWzdapuXN2lStFhA\nbGlpgdFoFMdTEa30UEbI0gXMZOLR3S0dwgrMnWtFQYHgnufu+qToS46n0+nQ1tYmGuT7+/vDbDaj\nq6ur3+OmpOjq6vJahKxSqfDZZ585/dlQtU0DI5yQNRoNKioqoFAoMGHCBIe++v5OniYghHTu3DnE\nxsY6SOP6M+hUCqPRiMrKSnHr/9134TIfBooiwzfR22EntAOT76U+F4AtjcGyPI4fp3Dffak4dMhH\nMkpIOEZ0NI/GRkp8nvXraTz4oGNYTtI9lZWViIiIEJUoBoPBrQ7ZWRHLE0WFs+KaVL51/vx5VFVV\n4Zdf/PHEE5NhtdJQqXi89JIeWq37KRyDwYkTo5xG4Z5G5/Lio6DyqK6OkpC0SaYj7uzsxOHDh2U6\n4sDAwEEXnwFhwWIYIcXCcUBZmW1hViohkjEwuN1HX3K8jo4OB324/bipvhYmb6YsLhZGFCGTF0zq\nZeFO3dBfQiZTomtqahAVFYWpU6c6LUR4MuhUCrPZLLYlJyUliVpi4txGtK3Z2QYAPvj5Z6ECTlE8\n7ruPRVYW35vWEL6GhfEYN84Amg4UPY1Pn/bH3LnAmjVWqFSCAxkgRDoLFnBYvZo0oQDHj9M4dIiS\nRckajQZlZWXw9fV1mAVoL3vjeR4sy8JqteLoURXmz3ee0x2IosKZfOu77yiZ10VZWRvuvLMaarUa\nVVWOE6g9gTslRGZmp9MofKA6ase8N5CfLyxGISEhYBgGqampDpM9Bkpc9hB2W+T/tloFxznXWntz\n90F2AyqVCikpKb3nYNOHk4W3p6cHCoVCdq0BAQGyQOgyIV9iECbunoXZbEZSUlKfLdSeDkbleR4X\nLlxAVVUVQkND+1RkeEr09s5u9lpi0thBhpIeOeInqiGE0U1C/vhf/6LFsfY0zePMmQuYOLEKCxbk\n4NNPhTwxAFgsQqR8770s6utNCA424U9/CsDUqTyKiykcPCgQvdXKo7BQKAwaDAaUl5fDarU63WUA\nNnULiZJZVjA2UigUDlHVvn1Abq5tBJI38qPTp1ugVHK9ETJwxx02n15i7Sn9UBOCdqUK6KswmJGh\ndRrdD1RH7S7yJPP0XKUBTCaT6Izn7BpdzQWUPrfUz0Rqmq9QyEl3qBpD7OstrvThVqtVJOnm5mbo\n9XpwHAc/Pz98//33qK6uRmZm5qALoXfddRfKysoA2NIgx48fBzC0bdPACCNkQBBqD0Rm5grS4aSe\nTIkG+o6QpTnY2NhYt23ZpLGDRC7S0U3EZIg4mgl+uxxmzVJgypQp4HkamzcLREywfr3ge6xQ+GLe\nPKP4+KhR8pRDczOP0tJSdHZ2Ijk5WZbbtQdN0+A4TvxHURQUCgUYhsG111J4/XVbNDljBiea1wM2\n8iakQ47nCdavZ/D110rcfLMBb711Gs3NqU59ep3lpe1VAcSfNzAwEPv3h/e5NXfVIDGQqN9Z5Eki\n9KwsBnFxzslFOnXaVWOL/VxAKVGrVEJah6ZVdvJKYfe1aJGjaf5gdOKu4KnkjWEYhISEyKJgotr5\n5ZdfsHv3bpw4cQIffvghxo4di2+EIYL9xueffy7+f8WKFeIOe6jbpoERRsj+/v5e0xJ3dXWhoqJi\nQMNJ7QedEvA8j5aWFtTU1MhysO4gTVtwHMQ88m23cWhvp3pbeQWSnjbNgAULlDh1KhzNzUI0LN0A\n8DzEaIhlga++CsXWrYLDW0uL/Yf+PAIDA9262pFrAoCjR1X49NMLuOoqK2bMYETFQH4+h23bTGLT\nSn6+AoBtZ8JxNoIm94x8pShK/GdP0uvXMygoEBbHPXsC8eSTfvjLX/omCldNH93d3WIkHRXVCobJ\nBM9TUCqBK65oh8mkknmOeFNe52yyh22idgTef78Lvbt5j+DOiIikPIhhvI+PGs88MxavvDIGLEs8\nTzj4+FAui3bexmDM6UlRcOHChSguLsaSJUswbdo0aDSaQZ8Xz/P44osvsGfPHgBD3zYNjDBCHug2\nRbrF0el0qKioAM/zAx5Oal/UI8bbFRUVbg2FnIH4VuzcaUJjox6FhdHgOODxxxn85S9tYJhQAHRv\n1VslRszyTIz0vti2pTwvVNYLChjJ7wtyrKioKNTX84iNda62ICTKcRxKShR45pk8mM3AJ5/w+Pvf\nazBuXBl6enqgUqkwalQgFi0Sok+e95cRrD3RSgnaVSRNURS+/prsVISobu/eMPzlLx7dUgdIzdSL\ni2m0tjJYudKM8+etyMrSYPz4Npw9qxPHc5lMJuzebYTZ7Oc1eZ008ly9WiVG6ABw9Gggbr99wIcW\nr9E+5VFcTGPHDh7Z2Vo880wjXn55NFiWgkIBLF9eh7g4E7Ra9ykPb2AoBpx6Q/524MABREVFITk5\nGQCGvG0aGGGEPBCQfK/FYkFlZSWMRqPoljZQSFMWGo0G5eXlUKvVHhkKOcPUqTwyMkx47jlWHJBp\nMnFobrZg61YjfvpJjZkzOdGWUzrDTZoTFK4XmDOHxbffKsQRTSRqpmke2dksTp5UYMMGBhs3wsFr\nWUqWZCGT5kABoKoqDr/9rTCLjORxtVotWltbYTAYxBwn+RcQEOBA0NIPqDOSnjvXjD17GPG6rr66\nDRwXOaictL2sS4h6gwEEi9duNpvx888/IyurCwwTAp6nwDA84uOr0dRED6pbjUCawlAqeUyZYgDQ\n/8DAHaTXqlD444or2N60GNVblA0ByzbJUh5VVZE4fToCM2dyuPpqldd2o94c3+Tp59Zd2/S8efMA\nAJs2bcLdd9896PPqD371hEzTNM6cOYOenh6xzXmwuk+KosCyLI4dO9brgTCwSFsKhUKBiRPbwDAx\nECJiCr/7XTimTuUl5j9CesNmtyknYwCi6uKVV/Q4cECPLVsiAdAgRZzsbOD4cceuP/uCnTTKFdIq\ntjyx1P/C2YQIq9UqFtvq6+uh1+sBQCy0BQUFISAgQPyQSkm6uJgWfZrfesuIr74C8vLqsHixFSzL\nigshKSr2VTyUqik2bVLCaHRuCEQmOAM+yMoKxYQJ0bjnHuG57rzTiPT0ABw4YMXBgywmTKhARoZW\nzEt7OmWbQJrCyMhoxYQJxr7/yEOQ662vp2SyyKNHhQWQooRF4IYblLJhoYcOUVi2zA9mM4UPPuDx\nxhsnkJraAbVaLdOED0Tl4a0IuT/jm/qaNm21WvHPf/4TR48eFR8b6rZpYIQRcn/eCGazGTU1NdBo\nNBg3bhwmTZrkFQE+0RIbjUZkZGTIOpgGip6eHpSVlWHs2A784x/x+PnnIJejm7Zvt+DFFxXYtYuY\nwwBSfwWe57FliwI7dvjh+us7wPM2ExmOExzACgvl5CpNT1AUhZISBQ4cUPTmhDkneWL3uVSGYZzq\ni6U2mDqdDhzHyYptZ8+GYP58397cqhJvv30ar76qRXJyMvz9/WV56UOHhMh9+nQL8vKsDsXDkhIF\nNm9WobBQCasVYBiVOMqKDHqVurnNnesnNtMoFNlgGBpWq61BoqwsFEuWkOh6DL7+ulvmv1xdXe0w\nL4/IvZy970gKo7nZAKuVFs9jMAoHeVQMsbtT6ipIUUBBQS3y8yNlf/vDD0rRs8NqBS5cSMeiRSaY\nTCbxdXMmTyM7BneE660I2Ww2D9qUnmDXrl1IS0uTTTAZ6rZpYIQRMtC3wZC91CwmJgbBwcGDJmNC\n8O3t7UhKSoJGoxk0GRN9cmdnJxITE2E2m5Gf74+AAK63+cM5Kdumitgc3mw5YuE6rVYa3d2kUGnT\nnR47Roley6GhHPbuBX75BWhvV2DmTKHANneuWtzWb9tmEkl5MDIohUKB4OBgWe6PFKL27TNj/34a\n587pYDL5g+No8DyH06fDcfvto8V8PImCDx9mMH8+OUcfbNnSg7w8q5hmOXSIwm23+fdGwxCvndwf\niuJxzz02hQFJyZB7x7JCsVQaSQuvl21n4cp/2X5enslkEluKSZTp5+cnvh/JbkROpiosWmTpf0Or\nNwAAIABJREFUbV32/J7LU0s87rtPKNp9/LGyN30lPK7TOaYinClBpCoPqZJFKk+zV3lIr5OkPLwR\nIXtzECwAbN682SFdMdRt08AIJGRXcDZElKZpGAyGQbdP19XVobm5WTbiiEy7HgjRS49J9Mk8z6Om\npkbWEu1qnt7UqTx27rTgs88EfXJmJoeCAqWYMwaECOmnn0Jlk0R4Hvj0UwWysjicO8fjxReF6JFM\nn1argXvusToYGQ2VeQ9N0zh9Ogj33afuJSIeCgXfu60GcnL0OHOmBceOqXHqVASmT7dgxgwGu3dH\nOsjWpIXwQ4cEYiJSQooSSIbnAZYVjn3nnUawLIfDh4XtPcPY5IMKBQ+GoUR/EBJJu5rAAUAS2crn\n5QGQRZnSPHtAQAAsFgt8fX1lY7tYlsf69Ups2qTsl7ojNJQDRdksQQmhZ2ayWLHCRzREysvrBiDf\n+vdHg+xMniYdvdTR0SGqPNRqtWjTajAYBmwqReCtNvMNGzY4fXwo26aBEUjI9hGyqyGiBINtnyZa\nYmft0/21FOR5Ho2Njairq3M6rYTneRw44HqenhRTp/LIz7eira0NX399ATSdBZalQFHAtGksUlM5\nbNigBM8LESGJFM1mHsuWKe0iar63kCj8nqt88VBASkQAsHixBWPHUggL41FdHQ+NJg5PPaWSKTzi\n46vBMOm9BTcgPf0CdDol/P39cfgwg4YGQUlA8uaLF1uxcCELjuOwcSMji0pvu81f3OLffLMFkZEs\ncnPPIjU11YGcCGGFhnJ4+mkfMZolre2u5HHOWopJlFlfX4+uri5ERp4Bw2T17g76b3xfXEzj6ad9\nxMX11VeNoj9FRweN1auN6OigMWlSBxITnU8QH4wG2Z2/RUVFBSwWC6qqqgaU8gAg7jT+0zHiCJlA\nqvl1NkSUwNkYJ0+P605L3B9ClnpEhIWFOT1XsvITXXJfhKjVavGPfzThu++iUVs7CVarrYJeXKzA\nggUsCguF7jbih2Gx8L1bccBZ5xbHAcHBfL/yxQNFcTGNTz4Bqqv1oOkQ8bxGjRJaym+6SQ2LxZaO\nEfyhgQ0bxmL+fBb33suBZTnMm6dBSooOtbValJQo8MQT2bBYaDAMj4ULe7B4sfBa7d9PIyyM6p0y\nAmzerMKsWaxY5AN4ZGdbkJhYhyNHwpGUxGLZMlOvIkEoHublCfdDKlsjqRAiMXzlFbXT6df2IFGm\nRqOBj48PcnKikJrag08/pfD5575gWYBhOISF/YKTJy2yVIBarXaIFG3jp4QFuKODdqoqGTeuB3r9\n0EncpCD+FiqVCpGRkWJE3VfKw5mlpzed3i4mRhwhS8nNE80vwzBit1ZfIJMwgoKC+jyup34WXV1d\nKC8vh6+vL7Kzs/uceEAKd7YRT3L09PSgoqICR4+qUFAwSeIUB0hzxZ2dNF5//Tg6OyfhqquE6PDl\nl1X4/nuFzM9AWhAEeLz9thJz55rwxBOOixhRQLgjane/U1wsGO2fPUvh0CG6V76nBk3b/BbeeEOJ\n4mJWzOna0jBC9L57twK7dytAUUJUO2pUCI4fD8HMmcJsOOJ5YbUC5eVWbN/egvfeS4LFQoOmeXF6\nisnEY/t2hVjkUyh4GAx1+NOf0mCxUFi3Dti2zYDcXEvvIkf3Rsc86up4WQQuXez27lXg4EE/j3PA\nUlvKqVMFF77Fi21ucVOmpDrNSyuVSpnC46qraIcc8MGDRLMuXO/BgwwSEpzbYA62oOgO9jlkVykP\nMuxAOmFb8CupQk1NjZj+GExe9/jx43j44YfF2Ypr167t7XrlUVBQgKKiIvj5+WHDhg2YPHnyoK7b\nGUYcIVdVVaG7u9tjza8nKQuiJVapVJg0aZJXjtvd3Y3y8nJwHOfSI8IdPvtMmBBSWCjkkXNyhAJg\ne3s7kpOT0doaBWGgtr3SQsiRzpjBwWxux8SJraJJy223sdi/XzCpl8NG0FYrj7/+lcELL1hlxFpc\nTOOWWxyLfVICBuDwOwB6o1MeK1ao7BYQ4dylBTeAx8mTziRs8kWEON+98YYSNC2Q8+jRHHhekHZx\nHFBSEoSjR4NEEgaE/Cq5V0KahEznbkNX13iYzcJjZjOPzZtVmDaNpDbUYkMOTQtOaffea8KCBcIF\nvfaaD/btU4rG9J7mgJ3VIeSpAwp+fo55aaL/PniQxQ8/mJCeXo9VqxTYs2cMlEolDAYrQkL8wHEq\nkN1PaCjnlNCG2vTfE5UFTdPw9/eXdcySlIdWq8XevXtRWlqKvLw8+Pr64sMPP8SECRP6fS5PPvkk\nnnvuOcyZMwdFRUV48sknsXfvXmzfvh0VFRWoqKhAcXEx/vjHP6K4uLjfx+8LI46Qk5KS+jVw0x1x\nkpl4LMsiNTW1X+NhXEXIJpMJlZWV0Ol0SElJGZASQ5pXNZt5fPONBix7EvHx8UhOTgZN05g5k5cV\nogQI5HLDDSz27gXS0yegsbERer0ep08H4fHHs8BxAPk8SqNP6dcfflDghhuEXyLEan9OxAJUSsAL\nF8oLgoWFCmzcKGylbZai9l2FtnMn3xMDeMco3v5cbflvjuNRVycncuInLUSxQuS4cqUFJ07Q2LCB\ndC8KnYuzZjWhqMgMwKY7JVI6+4YcIQLnkZBAY/p0YbzVM8+YceiQUtSIkxzw/v00cnMtTtvDAefG\n7Z5EqyqVCpWVEXjoIUKk8XjpJQOKinxhNlP497853HhjCyjKT/RHaWgwwmKxOKTLhtr0f6BRLUl5\nzJgxAyaTCaGhoVi9ejX0ev2ArUkpioJWqwUgBGKjR48GILRNL168GBRFYerUqejq6hLHv3kTI46Q\nidGNp3BGyFJf4uTk5AGRpv1xyXSN1tZWjBs3Dunp6QOqCPM8L8sjMwyHwEAzNm6cAYqisGiRTQpH\nvJNtTyOQ9HffKbB9uwIq1Rhs2xaB/HwO+/YpxO28QsEjOVmHsrKAXp0yD7Wah8lk80wmPs2EVEhz\nCLEKDQsTHpduiS9coGRVfunoKYpybGKxzXOTRsm2x6VkTFHC8wovvWP+2/Z3gDySBpYtsyAoSMjH\n5+VZ8d//bQDHhQOgQVE8Fi9mcd99KUhNpfDddxA76K68shyHDrUiMjIMDDOpt4vSdi5hYbxIptOn\nCwtXYaECn33GyBQa0vbww4cZHDzIYMYMFvn5nAMh9ydatU9JbN2qFrXEZjMNno+Ej4/tetLTL4it\nwG1tbWLKY8qUUV633ZTCGzpkadu0J1PdXeHNN9/E7Nmz8fjjj4PjOPz4448AhLZpaaMMaZu+TMhe\nhpQ4LRaLuO0fP348MjIyBiyjIRGy/XQNMlVkoMfkOA6pqV14/fVmnDkTiZSUUDz55GixaeGTTxTY\nuVPQERPTemHbKxD0uHEcystp8UP65JMMyHuK5D1VKuDPf1ZjxQpK1DJbRJ8ZeTQqHRl1/fUsiooU\n4DjgySdV+OMfLTKf5u3bFWKn4OTJLEaPPg+GiQHP2+b7yUlTSK/Mns1i2zZpbpssOAJZE0INC+Px\n5JMq8ZzJomFTkRAilhP6iRM0nn3WiuTkNhw+XIHJk+OhVkeIBEQ68oT8vbSgmQQgCTk5ZsTEtGLv\nXqC93YJNm0bDaqWwfLkSXV1dWLJEGNGUny+kG+65hxXTND/9pEZ5uQptbULK4MknfcQdxT/+0Qk/\nPy0iIiJgNpuhUChw4ICyz2iVRNAaDWT3f9IkFgcPKkQToe++Y7BypaCuEKLt0aiuNqKiIhz79wcj\nK6sLKSntCApqwmuvqXHyZDimTTNj7Fga3d2BMr30YEAadgaD/nghu2ub3r17N9asWYPbb78dX3zx\nBR588ME+u/q8iRFHyP19gyiVSrEBg2iJybZ/MKBpGu3t7aiurvbY2a0v8DyP48ePg6Io3HVXCgIC\nArBypULWtGCxSCNWhWyLzLI8yspokZw4DjhyxLZVVCqB3//einvuEaKzEyes+OgjppcIgbFjOXR0\nUNDpbLnV2bObcOpUM554Irs36hLOxWgUzkOIbgXik/ru/vCDAsXFo7F0qQXffMOgqsrWMShA+H9m\nJofHHrNi925hR0BkapmZgtudfXEwI8Mkkh0hZ5UKmD6dxa5dCkgXFELU33+vwMGDFN5+uxO33z4J\n+fm+iI11riRx1gCjUqlw440q3HgjsGoVuV+Co97zz0fi2LELuPbaMmRkaBEQEICYmEBkZ4dhwYJw\nWd6ZomyLiMnE489/VmLVqmRMnhwoNrVMm2aGSqUWr+vKK01gWU5MeUgjaLI7IimJ4GBg0SIL1q9X\nijn2jg5aNpn72DEf/PGPMbBYKKhU/vjmm1G9WmVbXlqv16OtrQ0Gg0GUs0ltPfubfvBGUwfpuPUE\n7gh28eLFeOuttwAAd9xxB5YsWQJgeNqmgRFIyP0Bx3FobGyETqdDdHS0g+53oOjo6EB9fT1UKlW/\nnN1cwWw2i8XK9PR02TZJas8JoLdgxyIvj8WWLVZs3Mjgs8+UsFhsxEzSAzZ5mwCrlUdcHC8SzsKF\nLAoLGdH6s76ehlIpRG8sKxDC8uVhKCyM7CVjWwTL88LkEYbhxeYSAbz4nFYr8OabUu2oNA0hnON9\n91n71ZotJUx7ciakN2cOi9mzWfzrXwrs3asAGbTa3JwKX1+rw3H6g5kzOUmKRVgE//nPSHzzTSRW\nrzbizjs10Gq12LnTLKYTSN5ZvvsA6uoCcO+9Adi+3SaTmzED2LKlBwcOKHrbwjlZymPfPh9ZGkiI\nK+SpBkHa5zz9cPiwPywWymkE7syXxL7lXa/XO3gve2vclDt4a1rI6NGjsW/fPlxzzTXYs2eP6PT2\nm9/8Bu+++y4WLFiA4uJiBAcHez1dAfxKCZnneZw/fx7V1dUIDw+Hv78/EhMTB31cnU6H8vJy0DSN\n+Hhh0vBgyFjasZeYmAij0eigxpg6lce339pkcAsXWpGbawXHAVOnUrjySisWLeKwcaMCn3zCiNtV\nea5VgL2umRDhSy8x+P57Qlw87r/fijFjeISF8di4UYGPP2bEqNvWpi0Y6//ud1pUVwOHDgWCmBhJ\nSVmuebYhPJzDc89Z8cADrHguA63snzhhK7opFDxyczncemsLeL4VP/44GRaL47X3F1I1yZo1Zjz6\nqEriLyzctxUrfHDFFRTy84Nw++001q2DuNjRNFkwyRGF+2My8fjkE2DKFJva4sorgSuvZCHcT2FB\nI054M2dyWLkS4nPTNHDPPYLaIzdXiKTdddxNnqyFUikUsjzJF7treXc1booQNfGd8Ebaoz/GQu7w\n97//HQUFBeL5/u1vfwMA3HzzzSgqKkJSUhL8/Pywfv36QT+XM4w4Qu7rxSW+xEFBQeIEkLa2tkE9\np9FoREVFBXp6epCSkoKQkBC0trais7NzQMfjeR5NTU2ora2Vdey1t7c7LVjm53MyrwZi6i79+enT\nFCZN4mAy8Th5kuwCeLFzb8IEHgsXsk4nRDz7rBU//mhrRlm4UCDJW25Ry/wgbIU54dhCd1s7tmyh\ncehQEJxFwI5pCgHz53MiGfcFol+mKIjXIJXhkeyTMFEFiI4uxfnzRixalIyJE82DanIpLqaxZg2D\noiJBs6xWC8W7nTuFAt6GDYzoE2G18vjTn5SYPl3II5Oon2G6cOiQGUVFsbJWdoLCQiUmTz6J7GwT\nqqujcPJkGK67joZarcaBAwqEhfFob2cwcyaH6dM5LF5sSzVxHI/4eOFzQVq5c3ONmDyZ+HLQMke8\n9HQNvvqqC4cP+w9Yc+yqK4/MySPRNNH6mkwmtLS0iD4eA0kXeqsx5KqrrpI5vBFQFIX33ntv0Mfv\nCyOOkF2BaImVSiWuuOIKhwkgA/GdkBYBpcNJgf4POiVob29HeXk5Ro0a5TC7z9kxyUBRe0tMacR2\n+jSFpUvt20oFIszJ4bBzp3sJk7OUQUGBUtbFRlECAZPomKJ4xMR0Y926cOzbR6J6m2rCFg06qisY\nhkdOzhlUVlIIDAxEWVkoiot9xQjWXv98001qUb/86aeMWHiTej8I94/Hn/5UgVtvDRejqcFE3sXF\nNObMUYsFVWnu/IknBDILDha00OT6SktplJYKsrpFi4zIzz+DKVNYmM0Z2LbNdo+kX1mWRkdHJrq7\njfjDHwJgNlN46y3hnK1WWoyEVSpg69YeMdVEFtCICArz5weIxcItW3rEhhbpEACr1Qqz2YycHDOu\nuoos2oOfeQi4npOn1+tx9uxZmEwmtLe3w2AwgKIoWUeeJ3np/nghX8oYcYRsT6pES2y1Wl1qiYnS\nwtM8F8dxqKurQ1NTk8xQyNkxPQVJdygUCpdNLVJCllpiApBFxfZNGhkZhHCk0ajwdeZM1qMOOylx\nCW3NtjSFUikU2rKyODzxhFBI4zigrs4fdXXkCDZ7x1tuYbFliwL2MjSaFn726KNWZGXFQ6vV4sAB\nK5YsCYDFQkn00VSv/tmIAwdoWQOM2czjpZcYzJ/PQqWCxBta+HlQUCJCQjyfBu3uvhDSl14HzwOl\npbb3QkkJITT5+4NleXz8sQ82bZqEHTvMiIignCxQtgVMGEDgI8rWOM422JbkoC0WHps2NWPRonq8\n+24UTp0Kx7XXUjh6NNCt2RLpgisrK4OPjw9UKpVskQds7y9XeumBgqZp+Pr6YuzYsZJ7wzodZurv\n7+/ULQ64TMiXNCiKQk9PD6qqqqDT6ZCcnOx28KmnhCxNJcTExLgtAnoaIRPNs8FgENMdrkDTtGjC\n7oyICeybNKKjXWt8Kypo3HKLUiRv0mFH4IyU9u+nZZKyzEwWd9zRg7CwcrzxBoMvvpiAfftUojpD\nmqKgKKC2FpLHybkI9zcnhzyPGhEREaiqYkR9NKnGk6aKwsJG5OTowDCZoiyP54E9ewS/5pde0uHA\nAT22bxfGXvUnT+yq81AKqfZaek+/+ILBQw8JqZPSUil52admKLHbMi6OlylSpAvYTTexOH2aQkMD\n1asptxVliVKEaLvvuScWOTmRSEnRYfr0Duh0OkRE0GCYTAA0lEoeWVldsFjU+PlnNfbto5CSch7R\n0TUOjUruxmkJr+XgSdqZBtldXlqv18tmAhoMBmzduhVmsxnnz59HYmLioHLSJ06cwMMPPwy9Xo+E\nhAQUFhaKQdxQT5wGRighV1RU4MKFCx43YPQVzfI8L/pYOEsluDqmO0KWNoqMHz8ekZGRbs+TaDWJ\nfjIoKMjlOdhP8Jg9m5VpgKWRMsl9kpZeqZ2mK1KSEhHHAT//rMC8ef747/8eC4slGLffzuPAAWmn\nH3lOQX1gy2HL88lKpSNhSq+FYSBaZKpUwKJFYzB5sgmjR7di0yYlSkrUqK31Ewl7714N3n7bgmXL\njNi8WenU+8MVnHUeOouSFy2yYu9eClVVRFJHid17+fkcUlM5tLVJF23H17i0lEJWFicjW0LGFAVs\n3arA1q0KUUsulbJdey2L+fNZOwmgQuYFkZ4OpKWZsGcPi6wsDeLiLqCwkMJjj02CxUJBqYzHxo0+\n8PeXm7v3NU5LukMbKEl72qUnzUtHR0cLd4jn0dHRgcbGRnz//fd49NFHUVdXhwcffBBLly7t85jO\nsGTJErz++uu4+uqrsW7dOqxatQovvPDCsEycBgCqnxrAwQsGhwHnz59HUFCQx6v2mTNnEBMT43TL\nI52JRyqsnsBqteLo0aPIz8+XPW7fKDJmzBi35ymNUCwWC9ra2sQZdSzLws/PD0FBQQgKCpLJi6SR\nbWGhAh99xMBZfpLkfomt5sqVZvHDvX8/jRdeUPYOvuTx179aRFOhQ4coPP88cPCgj0gOJDesUAB+\nfjy6uqRNGFLYImeSpoiM5EX9sz3s/TBcpRGWLVPKrvPOOzvx2GMVMpc3lYrHV1914eqrVW7ve18R\nMvm540BZobC3fbuQWP7sM9KGLSVi+eswdiyHxkYatpjAmTRRnsIgz+Mscu8LVqsVzz6rx9q1MaLy\n5E9/asEdd1SKUzfIKC0yPdxdsOAqkiZwN06rtbUVer1+UConQV0yE8ePHwcwOMP74OBgdHV1gaIo\n1NfXY/bs2Thz5gxeeeUVAMAzzzwDAJg9ezaef/75/kyc9ihsH5ERcmhoaL/ap51ZcBoMBtGntb8+\nFoBjykLqQudpo4h9wU6lUom99eTnZHx9a2srqqqqRJKOigrCgw8KRL1xozMHORtR3nQTi+hooQlD\naKawkbN9OzQg5LuVynLcd18YjhyZALPZ1rbMcUIRTTDhgfgckyaxOHeOQleXnASnTWOxeXPfRUX7\n5oziYhqrVjEiMWs0GmRnN0OlyhJlbA8/7IcrrrgCO3bY0h4WC7BtWzd8fY+LUVdQUBDKykJx9Ggg\nrr6adxhLRdrAyXMDtghanmIQrnfRIuG9dPPNwr1kGODGG63YutX+9RbuTX096VS0FUhp2tYkIl9E\nhfvMMMLr4yq9RM7RfuG6cOECqqqqMGNGCj76yLaLuu22UcjJyQHP8zCZTNBqhfFTTU1N4vRw6WBa\nf39/B4K1j6QBm9+HqwniFotl0Dlp+7THYKLWjIwMfP3115g/fz6+/PJLsRlkOCZOAyOUkPsLhmFg\n6U1CkiaMrq4uJCcny0bT9AfSiEKj0aCsrAy+vr6i1M4d3BXs7J+DbOOISJ2QtFarFT98kyb5g2Em\nw1lWhueFLbEgUWNl2/T2dgrz5lnx+ecMrFbg8cdV+P77Vsya1YT4+HQ0NASKETVpvrAvovU+C+Lj\ngfPnZc8MACgpEQaXuovy7PPY9tHrO++cRWpqB+68MxXp6Y4yNvsUzh13RCA/Pwwsy0Kn02H/fgt+\n//tRsFgovPoqj/feK8NVVymQmhoIlg2WeQYThzoyRcQ2k064HoYB7rijB++80wOTKVLskOzpseWN\npYiK4nD+vLxLMT6eQ309ISnnHh48L7w+0ntE7okttWM758xMA8rKykDTNHJycqBSqZw220jHMjlz\nj5NOD6dpWhZJO5seLiVb6cxDnudhMBjQ3NyM2NhY8fM3kLy0RqPpV8DkrnV63bp1WLZsGV544QX8\n5je/GXbT+xFJyP1N6jMMIxJxS0sLEhMTkZaWNmjBOsdxOHHiBCwWi0cWm54SsTtISZpE0zk5HI4c\nMeLTT30l3XSAXFrFS/KUAnFptcDmzYz4uyYTj3/9KwJbt0ZIpmDYts0ZGSY8+SQjace2RY6CF4XD\n2Yqt3u78k+1TB9L8rsnEoawsBgsWjAVFUU5lbK46/RQKIddaVmaLoK1WHlVVYzBjRguamprw+edG\nmEwJ4Di61zbTiq++8rdrTZa9ili1qht79kSLRK1QAPPns70GTvJ7L5CxHDZXOsfoGLC9PtJ8u/Se\nSE3xzWYeW7bocOpUHRoaJuCmm3ygUnHiffE03eHN6eEURaGhoQGNjY1iIdtV8ZBE0u5Iur9den15\nU+zcuRMAUF5ejm2CFvFy6/RwgeOE7S4pApJZe4OBdBxNWlpan1G2N4jYHWiaxu9/T+PLL22KAGI6\nI634C1tLgWTuv1+H48d9xZ/ZKvs2wyFAXvDKz+dw331sLyHzdn8nP07vlYPnBeIHbJGw0Ohgy2NL\nHcv276eRldUFhgkDQEOlojBnji8oyj2xuCMf+wj6hhtU4rThhQtpFBZSoiOawdDTO2hVPvqKwGoF\ndu+Olt23xYutyMjgnSxI9vdEvquwfywtjcOf/2x16uHhqvjJMBwCAox46qkcmM3AO+8MLO/sDK6m\nh5MdmnR6OKl1KJVKNDU1ISgoCHl5eQ5jzwj6UngAEInam9NCLly4gMjISHAchxdffBEPP/wwgOGZ\nOA2MUEL2hMx4nhe39H5+fhg9ejQSEhIG9bwcx+HcuXNobGxEQkIC/Pz83MrtpG84Zx123oR9lPjG\nGwy2bpXm2qTtzDz+7/8CMGNGEwT/X97u92z/l7q9AUB7OyXTxzqHPOdaVKRAYiLf224MsdFBrYaD\nY1xPTz0iIy/glVf8sG2bD+bPd14I7A/ceWXY/wwIRFGRLa8O8JCKaWwRs022FhTE4/77lXY5YWf3\nRkrC8vunVAJr11pc5oyl5zl9ugVNTU04eFCBefNCcORIlEeKEW9AoVCIRWYCjuOg1+tRW1uLzs5O\nqNVqdHR04OTJk7KUh3T0VF8KD2leuqioyGv53E2bNokdeb/97W9x//33AxieidPACFVZsCzrVsbW\n2dmJ8vJy+Pv7IykpCUajEU1NTUhPTx/Q85E5e9XV1YiOjkZCQgIUCgWKi4uRk5PjtHhnX7AbKiJ2\nheJiGrNnqyW2mlLYiks2LbFzhcbs2T3Iz1eIxbDiYhrXX6+2Ux44/q30a2goB62WqAxsP1MoeFxz\nDSv6aFAUhyee0OKmm3z6VEAM5cy/desU4uJB0xzI4FHnkC4+0utz/J68BcixaFrwrHDW1u5KBUKs\nAUaPHo24uDiQYa19aaqHEjqdDmfPnkVYWBgSExNB07TYSk2Kh1qtFiaTCWq1WlY8dGfxeeHCBaxY\nsQI0TeN///d/BzQhZBjx61VZuIJer0dFRQV4nkdGRobYa2+1WsWiQn/R0dGB8vJycQvmrNVZSshD\nnZ7wFPn5HL791oSNG4Xc7vnz6FUByNMT8m46+688du5UY+dOGi+/zGHaNA26u9W9DRx9/a0N0pZr\n8jOSJ501qwsHD46C1SqkJ266ycetRtgd+TgrDrqb7+fqd5ubzeA4VW/Bzr4TT1BIxMTwaGykYDNU\nkkbGjruH2FgOTz8tpDbIa+JKBgjIc8ZGI49PP6Xg53cSHMchKytLVjjuj1ueN8FxHGpqatDe3u5Q\nQ5G2UkdFRYmPSxUe58+fF6dQkyi6u7sbcXFx2Lp1K1atWoX/+Z//wW233XZRPkNDgRFJyPYvjnQC\nSEpKioPeuL9tzoBA7uXl5aAoyqk3BuB5q/PFAsmrtra24q23DADS4Ji7dPa9QCiC+b1AvBxHY98+\nex23s+jQ/ufArFkcvv6ahslkM5z39TUjLq4a2dlGTJ6chkOHfGRkIs35uipuScnanqjSe7k8AAAg\nAElEQVRXrjTLJH72xO3qdxmGx29/ex4UFQA5qdruE8/zCAx0tiOQQ6o1bmyk8dhjDD76qAbPPssg\nKCio1ynQ+Xtk5kwODGNzdfvsMwZz58bjppuc51IH49kxEGg0GpSWliIqKgq5ubke12XUaqFDU+p3\nYbFYxOLhmjVr8P3338NgMODmm29Ga2vrUF3CRcGIJGQC+244VxNA+kPIZCaeXq93Su72x7VYLH22\nOl8skEVFqVTC3/8Ku9Zd+ygXcE6w0nyos+tyVHTYP5aWxuOhh2z5z4iISnR2dspayWfMsL0+7iI+\n+wKdVJMrJep//1vhMsp29ruksMjzwJdfxjvtehQaY4ifhVwpYZ9bpmngrbcs+PhjRW8RlILFQmPH\njkhkZtaisbERRqMRarVadHibNUuBGTMYUU2yYEEPPvnEt9fVjcbJk2G46SbvjlfqL1iWFWdGTpw4\n0Wmg0l8olUqEhIRg165dOHr0KN566y3ccMMNOHnyJEpLSy+Zz5M3MCIJmed51NXVoaGhwaOxSZ74\nTrAsi9raWrS0tGD8+PF9tmST7qTOzk6oVCoolcpL5o1DVCDE5yMkJAQGA43VqwUis/klA65zv65+\nRuBMXif8jSAXI4oOHv/8Zzd++cWCm29uA8c1QK2OR15entv75Sric0XW9kQ9fz4rsxSVRtnS31Uq\ngaioZlBULGgaTho2bP8PC+Ph50eGqdoWK5ILPnxYAYtFuP7lyy144AEWJ07QOHLEdv5+fr5ISkoS\nvz9wwIr/+i/BXOmtt3isXn0UmZk9vakJX3z+eZ5X/Jy9AZK+i42NdWq4NVC0tLTg0UcfRVBQEPbu\n3SsWyqdOnSpr1hgJGJFFPbPZjMrKSowdO9bjsUk//vgjpk2b5vA4z/NobGxEXV0dYmNjER8f3+f2\nixTsSKeTTqcDy7Lw9/dHUFAQgoODERgYOCRVWncgbdtEBRIdHS370EhlZytWqERLSwHOCJfAGfE6\nI20BDAOkp3P45Rf5faQoHjNmdOGOO2qQkaFFTU00Tp8OR0yMCnq9D8LD4VTy5Qp95Yzd5ZB//FHQ\n7zKMBmvXJsNkEtQjkyezsrFXzu+N42M0bcuVS32TAWDOHFt6RDodBAAKCpT48ENbbv/ee7uxePEh\nBAcHw9fXFz/+yKO42Bc5OTpceSXEXKu0k26oYbFYUFFRAZPJhAkTJvTZ+OQpOI7DF198gTVr1uCl\nl17CrbfeeskENQOARyc+IgmZ53mYze7bce3hjJBJq3NoaCjGjRvnkRucqzwxx3GiPpMULXieF1t3\nyQfJm9aGUrS3t6OyshLh4eGiCsQdCFlptcDbbytlPgvOycce9ukNZ6Rt/7fC4woFsHSpGWvXShcF\nouwA1GoeX37ZiWuuUYtz5OyJdTDKgra2Nnz99QXU1MSjomIUtm0jc/Jc7QBcPSZflGw5Y7k3iDP9\nNTlXe3+OefNa8NFHKvj6ytvhLRaLTLFgMBigUChksjJ/f3+vv7/IZ8TZAj8YNDc3Y/ny5QgNDcWa\nNWsGNPn9EsOvV2Ux0DcFkaBptVqUl5dDpVIhKyvL4c3v7O/6KtiRNtPAwECxw4fjOPED1NDQAL1e\nD4qixA9RUFDQoD9E3d3dKC8vB8MwmDRpUp/XQiBNCcydy8nG1zMMEB3N2W3NpXBGxIDrCJp8LzzG\nsrxk1h75G0GtwPOCH0VRkQF+fidw9mwIVqzIgtks+CW/8YYJDz7I9anEcEbge/ZwMJubUV7uj+3b\nhUYK+QQP+5SN/TULv7xggRVffkkmhfT+lBLuG0XZ3OqkKYb6egqvvKJ06H5cuNCKTz8VUh1KJbBs\nWQh8fR3jIqVS6dBJJy2G1dbWoru72227c39gNptRWloKAGIrtjfAcRw2bdqEd955By+//DJuueWW\n/+SouN8YkYQMCKTYn+hfoVCgu7sb1dXVMJlMSElJ6bP7Z7DKCZqmHXxfSapDq9WKHyKp2D4oKMij\n8etkmolGo+nTZ7kvEHIm4+sJkQhuZ9JZcPZFPlfka/9/T6JP+THT0yNBURFYv56BySSQudXKY/ly\nFWj6OOLj/aBUpghHo4DNmxU4coTG7NksVqxQwWIRmi1Wrzbj2DEKn3zC9O4CpJOLXRciXZ3r9Oks\nPvrIgoceYrFxowItLRS+/VYBq1U4j9Wrbd4f+/fTOH2a6vUAsd1DsoBMmtQNleos3n8/DHV1ibjm\nGiA/3/P3tFKpRGhoqCy6lLY7nzt3Dnq9Xmay1NeEDqK5r62tFW1jvYWmpiYUFBQgKioK+/btGxGG\n8/3FiExZAMIK7um1Wa1W/PDDD2AYBikpKQgPD++zYCftGBpq5QSJdLRaLTQaDXp6eqBUKmUkTSwS\nySTthoYGjB07FjExMUN2btKttk0WJngEZ2VxMgWBAHfk5ix6tv8b100U0mPccosF//d/rfjwQxqr\nV4dBp1M6OR5RP7hrfpGei30xUwBN2wqgajXw+us2wm1vp1BfT/XO1bOlKWbO5MR0itQljxQ8fXyA\nDz+sRUxMbZ9KHm+ABAHkPSb1pCAkHRgYCIvFgrNnz0KlUiElJcVrk6Q5jkNhYSHee+89vPrqq5gz\nZ85IjIp/vTlkQCCxviw4OY5DfX09GhoaQNM0Jk6c6JEB0MXssCMwm81iPlqj0cBoNIKmaRiNRowa\nNQrjx4/3iuTIU7hKA9x4o1rmMiclMAAOcjBXWuXe30bfhCk8HhDAQ693poF2txi4+x17CDnh664T\nDOJ37lSgooJCVZUwTYXjhGtVKuHgvCb1mbb3kb7rLgPy88tw9dUqJCQkDFlNoS+QMUqEpNvb22E2\nmxESEoKIiAiRpD0tmrtCY2Mjli1bhtjYWLz++utemRx9ieIyIbsiZKmPRWRkJBISElBeXu7SpJ78\nzaXW2EFgMBhQXl4OnucREREhtqSaTCb4+vrKlB3DaSfY0dGBf//7PPbvT0BgYCCyswVN7549CrFI\nNneuQGYWi320K0ChEGYCyhUZrnLU5GeuC2uOf+csneIuLy5//LHHLEhM5O2GyNoInqKEa8zJ4Vza\nh65caUZrK4/ExDqMH38BaWlpw7qYuoPBYMDZs2cREBCAcePGie8tUkAks+6keWlPImeO4/Dpp5/i\n/fffx8qVKzF79uxL5vM0RLhMyM4IuaurC2VlZQgICEBSUlJvNxTESc/SDiHg0iZii8WCmpoa0bvZ\nfjHheR49PT3iB0ir1cJqtcqmjAQFBQ06yrFHT08PysvLAQApKSmyQuK6dQoZeb3zjhkZGbyo6Hjz\nTaUYQQvNE0IK4H/+R9mHYZG71IKrvK+7iJuAkzTM2D8fj1mzBP367t0KuIqoyQQRV34biYktqKqq\nGvIUU39AtPwtLS1IS0tzGbmSWXdSkpZOsiFELSXphoYGLF26FAkJCVi5cqXXnNoucfx6VRaAo9KC\nRJEsy8p8LAjsu/UuZSIm2uj6+nrEx8cjOTnZpYG9n58f/Pz8ZHPI7A3sWZZ1kN8NRCPNsizq6upw\n4cIFl4Nl29spkeBoWsiz5ucLng2rVjGS9AVEE/aZMzn4+Ng3rbgrtMHueyFXPGmSFr/8EiypLfRd\nfFSpKKxc2YMjRzg0NXHYuzdA0s0IXHttB3x8fLB7d6D42K23CiS9dauwE7BaHR3W8vM5ZGYaUFpa\nigsXGK8qFQYLvV6Ps2fPYtSoUZgyZYrbtIl01h3x3ybm81qtFm1tbaipqUFPTw9WrlyJkJAQHDt2\nDK+++iruuOOOS+YzdalgxBIyATGe12g0bqdPE0Ie7oJdf9HR0SEbttrf6NaZgT3RSGs0GjQ1NUGv\n1/f6Mdjkd+7kUWQ8VXV1NWJiYtx+iGfO5KBWO/ehsJ/iTIae2o9TevRRVa/Ru1zVccUVLM6cUUjk\nZgLpZ2d34KmnenDzzaNQUmKSaX61WqFV+vhxm3k8RQmjpdLSyJw/4L/+i8aqVSrs22crCM6ebcD8\n+a3Q6XR49NEgHDwYjRtv1OH++60oKwvFrl0hTq+T53nU19ejqampz4nowwl3ZkD9AUVR8Pf3h7+/\nvzjJpra2FkqlEhaLBfPmzcPf//537N27F2vXrvXmJTjFjh07UFBQAJZlsWTJEjz99NND/pwDxYhN\nWRAibm5uRmJiYp9bwebmZvT09CA+Pv6SJGIy4w8AkpOTPR62OlCQog4pGhJ5lDTV4e/vL+48lEol\nkpOTxRSQO/TlstaX2xmxv+Q4IcecmcnivvtYPPAAK/69IGMTtLtbthgwfbr74pgnz9tXs4l0zJFW\nq8WRIwxOngzH9OkWzJghGAZZrVaUlZVh1KhRSExMHPZuTVeQmgF50o3qKTiOw/r16/Hhhx9i9erV\nmDVr1rB+rliWRUpKCr777juMGTMGeXl52LRp04CtdgeBX3cOuampCVqtFvHx8X2+6ck48VOnTiEs\nLEzUBnui9x1qEIOkjo4OJCcnX9SOJaJh1Wq16OrqQldXF1iWRXh4OCIiIsR23uG4Z65IndyvH37g\n0NCQhBtuUHrV5ay/XsuEpLu6utDS0gKj0YiAgACMGjVKXNiG6545A8uyqKqqglarxYQJE7xaTKyr\nq8MjjzyCtLQ0vPbaaw5pwuHATz/9hOeffx7ffvstADhMjx5G/LpzyNHR0X1uBaV54qCgIOTn50On\n00Gj0aCyshIGgwEqlQrBwcGiUsGTCNAb4HkeTU1NOHfuHOLi4jBlypSLvjgwDIOQkBAYjUYYDAax\nMYCQ9IULF8R7RsiG3DNvn7u9uRBJm1RVVSEuLg733Rfb+5zeNdzpr42lSqUSzy0+Ph5jxowR25y1\nWi1aWlrEqc7SHP5wkLTUDMhVHWIg4DgOH330EdavX481a9bgmmuuuWjv3cbGRsTFxYnfjxkzBsXF\nxRflXDzBiCVkd3BVsKNp2qGzyWQyQaPRiO3NJpNJrCATova2SqGzsxMVFRUICQlBbm6u1wT4g4VO\np0NZWRn8/f1l52XfsktMxrVaLZqammA0GuHj4yMjaW8WsAwGYaKySqW6pIpjJpMJZWVlAIDs7Gxx\nMVepVAgPD5fNWpTqykn6TErS0uafwUJqBpSZmelxO70nqKmpwdKlS5GRkYEffvjhkpHv/afgV0XI\nAynYqdVqREZGii2i0goyiciISoEQ9EBNgnp6elBRUQGO45CRkXHJvJmJXader0dqamqfxR57k3Hp\nuJ6uri6cO3cOZrPZQX7X34WH4zjU1taitbV1WDraPIVUBZOUlOQgpXQGZyQtXdgISZMRRwMlaWIG\n5G2JHcuy+PDDD/HJJ5/gzTffxMyZMy/6jg4YvmnR3sKIzSHbO74NZYcdGeJICmA6nU5WAOsrH221\nWlFbW4v29nYkJSVdMlV3KbF4281LurCRf1KLUvLPVf6fzI6Ljo72ahFqsNDr9SgtLUVgYCDGjx/v\n9d2TlKS1Wq1oYi9NdzgjabPZjLKyMvA8j9TUVK+m3qqrq7F06VJkZmbipZdeumQCCUD4bKWkpGD3\n7t2IjY1FXl4eNm7ciIyMjOE+lV93UY8Q8sXSE5MCGEl3dHd3i1tQEkmrVCq0tLSgrq4OY8aMQWxs\n7CVDLF1dXWKzTGJioteJxRmkGmmysHEcJ4sIlUolKisrRWLxlvfuYMGyrFh8TUtLk01dHmoYjUaZ\nukNK0oGBgTCbzWK07k0zIJZl8be//Q2FhYViVHwpoqioCMuXLwfLsnjggQfw7LPPXozT+HUTMvlQ\nh4SEiCR8sbdQZrNZJOj29nbodDqo1WpER0eLVfeLnS82mUyoqKiA2WxGamrqRY92yO6jq6sLzc3N\n0Ov18PHxEe9XcHDwkPj89gekOBYTE4O4uLiLvqjyPA+TyYT29nbU1taKg3Z9fX1li9tgiq2VlZVY\nunQpcnJy8OKLLw65DHME4NdNyCUlJVixYgU0Gg3S0tKQk5ODvLw8rxcx+guj0YiKigpYrVYkJyeD\npmlx8SDbdm90zfUXxGipubkZ48aNQ0RExEVfwAhIuzsx1wcgiwj1er3MjH24JItms1lcvNLS0i7q\n+0oKaaopJSUFYWFhIklL0x0mk0lWbLUNVnUNlmXx/vvvY/PmzXj77bdx1VVXDdNV/cfj103IBBaL\nBadPn8ahQ4dw+PBhHD9+HDRNIzs7G5MnT0ZeXh5SUlKGnPTITL7W1lYkJSXJijdSSLvmiDcAAFk+\n2tvjecg0kYiICIwdO/aSaVYghGcymZCWluY2CrNarTKy6e7ullmUBgcHe02lwPM8mpubUVdXh3Hj\nxiEyMvKSWbyIGZC/vz+SkpLcpppIsVW6uLkj6fLycixbtgxTpkzBCy+8cMksQP8huEzIzsDzPPR6\nPY4ePSqSdHl5OcLDw5Gbm4ucnBxMmTIFUVFRXvvwEkPv2NhYjBkzpt9bWuJXq9FooNFoYDAYwDCM\nLB89ELJxZwJ0MSGN8AZDeFIpmVarFVUK9lKy/sBgEPwnfH2FYaQXO8VEwPM8zp07h+bmZrdmQJ4c\nR+roptVq8fTTT6OnpwctLS147LHHcO+99yIqKsrLV+CIJ554Alu2bIFKpcL48eOxfv168bpeeeUV\nfPTRR1AoFHj77bcxe/bsIT+fQeIyIXsKEvGUlJSIJH3hwgUkJSUhJycHubm5yM7ORkBAQL+IQaPR\noLy8XKy4e/PDS8iGRNJE60sImhQNnYGYAJFo/VJRdQBC7r+srAzBwcEYN26c14uJ9mQjtSh1d984\njhONk1JTUy8p316pGZC327FLS0uxdOlSZGdnY9q0aTh58iQqKirw5ZdfDvmuYOfOnbjuuuvAMAye\neuopAMBrr72GM2fO4O6770ZJSQmamppw/fXXo7y8/JLZ2bnAZUIeDFiWRVlZGYqLi1FcXIxjx47B\nYrFg0qRJIkmnp6c7JVmj0YjKykqYzWakpKQMS8uoNLIhJG2xWODv7y+2ggcEBKCjo0M0AboUClAE\n/dU6ewvu7hshaI7jRO/ssWPHXjL3zFtmQM5gtVrx7rvv4p///Cfee+895Ofne+3YA8G//vUvfPXV\nVygsLHRof549ezaef/55XHnllRfzFPvCr7t1erBQKBRIT09Heno67r//fgDCdvXYsWMoKSnB22+/\njTNnziAwMFAk6IyMDHz++ee47rrrkJaW1ucoKG+Coij4+vrC19dX3E4SGZlGo8G5c+fQ3t4OiqIQ\nFhYmzhC82AoFaUpn7NixSE1NHdZ8rKv7ZjAY0NHRgbKyMlFGptfr0dDQMKzFVlcgZkCRkZHIzc31\n6mt49uxZLF26FFdffTUOHjx4SUgL161bh7vuuguA0A49depU8WdjxoxBY2PjxTo1r+IyIfcDfn5+\nmD59OqZPnw6A+PW2o7i4GOvWrcPSpUsxYcIEnDx5Enl5ecjJyUFOTo4ovRtuUBQFHx8fNDc3w2g0\nIjs7G4GBgS6HqJJ0x3CZ3XR3d6O0tBR+fn6XVIs4AJF8SUOMVCMttSglihiyAxnqxU1qBjRx4kSv\nyhKtViveeustfPPNN1i7di3y8vK8dmxXuP7669HS0uLw+EsvvYR58+aJ/2cYBvfcc8+Qn8/FxmVC\nHgQoikJ4eDhSUlIQHR2NyspKhIaGorq6GsXFxdi1axdeffVVdHd3Iz09Hbm5ucjNzcWkSZOG3KRI\nGnnGxcUhKSlJJNmQkBBZDpSY3Wg0GtHsRq1Wy0yVvOkPIW2iSE1NvaQmRvT09KC0tNTBF4OiKHGO\nHGm9lVqU1tfXix2a9j7S3lrchsoMCADOnDmDpUuX4rrrrsPBgweHzURr165dbn++YcMGbN26Fbt3\n7xav9z+tHbo/uJxDHgaYzWb88ssvYj765MmTUKlUyM7OFkk6KSnJa9EVMQEKCAgYUDGRaFZJTlWr\n1cJsNot5VTKfbyAFN+KlMGbMGIwZM+aSkYtJddgpKSkDtjmVWpQS+R3ZgZB//dVIW61WVFRUoKen\nBxMmTPCqGsZiseDNN9/Etm3bsHbtWuTm5nrt2IPFjh078Nhjj2Hfvn0yP5DTp09j4cKFYlFv1qxZ\nqKiouFzUu4yBged5aLVaHD58GMXFxSgpKUFVVRViYmLEfHRubm6/mzMsFgsqKyvR3d3t9cKYdMtO\n/pEtO4mk3W3Ze3p6UFZWBoZhPDayHy5otVqUlpYiNDR0SEzjpXabWq3WwaLUnWxxqMyAAODUqVNY\ntmwZbrzxRjz77LOX1GsCAElJSTCZTKIKaOrUqfjggw8ACGmMdevWgWEYvPnmm5gzZ87FPFVPcJmQ\n/5PA8zwaGhpw6NAhlJSUoKSkBB0dHUhJSREJOisry2l0NZQmQO7AcZwYDUqnikildz4+Pjh37hzO\nnz8/qMhzKGC1WlFVVQWdToe0tLRhNVCXttFL/SekefyamhpwHIe0tDSvkqXFYsEbb7yBHTt24P33\n38fkyZO9duzLcInLhPyfDqvVirNnz4ra6GPHjoHneWRmZook3djYiMbGRlx11VXDZgLkDhaLRWxi\naWtrg1arhVqtRlRUlCi/uxQiMRJ5xsXFITY29qKnTqRpoubmZnR0dECpVCIwMFC2wA228Hny5Eks\nW7YMc+bMwf/7f//vkvGO/hXgMiGPNJC0wdGjR7F792588sknAIDx48eLJJ2Xl4fRo0dfVIIxmUzi\nhG8iYyORoEajkXkhD5XJv7tzKy0tBUVRXrehHCyMRiNKS0uhVCqRkpIChmHQ09Mj00hbrVYHi1JP\n7p3ZbMbrr7+OXbt24YMPPkBWVtYwXNFlSHCZkEcyli5dihtuuAFz585Fa2urWDA8fPiwONiVGCpl\nZ2cjKChoyEma4zg0NDSgqakJ48ePd2nMLvVCJkTDcZxXTP5dgaSEGhsb3XqJXAxIx3URMyB3v2uf\nyyf3zpUh1YkTJ1BQUIC5c+fi6aefvhwVXxxcJuRfKziOQ0VFhZiP/vnnn2E0GjFx4kSRpDMyMrz6\nwdRoNCgrKxtwYYzYbEpNlfpj8u8OpLU4ODgY48ePv6Sq8f0xA3IF6YAEcu8qKipQVFQEiqJQVVWF\n9evXIycnZwiuwDVWr16Nxx9/HK2trQgPDwfP8ygoKEBRURH8/PywYcOGX1P++jIhX4YNJpMJx48f\nF/PRp06dgp+fHyZPnizmoxMSEvodlZrNZlRWVqKnpwdpaWleb1Swd3CzN/l310XGsiyqq6vR1dWF\ntLS0YWvH9gTeMgNyheLiYjz33HMIDQ1FYGAgzpw5g4ULF2LFihVefR5XqK+vx5IlS1BaWoqjR48i\nPDwcRUVFeOedd1BUVITi4mIUFBRc0gNHvYzLhHwZrsHzPDo7O3H48GGRpGtrazFmzBiRoHNychAa\nGuo0KpVusxMTE73mjtcXpJ6+Go1GNAeyL3yREU+jR49GXFzcRS/aSUEi9pCQEIwbN86rEbvJZMJr\nr72GAwcO4IMPPsAVV1wh/oyMLxsO/O53v8Nf//pXzJs3D0eOHEF4eDj+8Ic/4JprrsHdd98NAEhN\nTcXevXsRExMzLOd0kXHZy+IyXIOiKISGhmL27NmidSFxNCsuLsa+ffvw+uuvi5IwkuqYNGkSfvnl\nF3R1dSEhIQF5eXnDquxwNkCVFL7a2tpQWVkJg8EAhUKB2NhYBAcHg+O4SyJNQYaytrW1DcmYp59/\n/hnLly/H7bffjr179zooMoaLjL/++mvExsYiMzNT9nhjYyPi4uLE74kHxa+EkD3CZUK+DBE0TSMx\nMRGJiYlYsGABAEHGdurUKRw6dAgfffQRvvvuO/j6+mLWrFmYMmUKeJ5HcnLyRSM8iqLg5+cHX19f\ncByHjo4OpKenw8/PDxqNBo2NjTKTfxJJe9vkvy9otVqcPXt2SMyAjEYjXnnlFfz000/4+OOPh2WA\npzsPipdffhk7d+4c8nMYibicsrgMj8DzPG699VbMnz8fv/vd73Ds2DEx1VFRUYGIiAixyzAvL2/Y\nUhiAzaTIXWGMZVlZqoNMFLFvYvH2OUvz2Onp6V6fUXjkyBE8+uijuOuuu/DYY49ddB36yZMnMWvW\nLHG6S0NDA0aPHo2SkhI899xzl1MWff3SZUJ2jfr6eixevBjnz58HRVF46KGHUFBQgI6ODtx1112o\nra1FQkICvvjiC4waNepin+6Qw1UOkuSTpQb/ra2tSE5OFh3vJk+e7PWolKQAWltbkZaW1m+Tor5M\n/oODgwfViNHZ2YmysrIhyWMbjUa8/PLLKC4uxt/+9jdMmDDBa8f2JhISEsQc8rZt2/Duu++KRb1l\ny5ahpKTkYp/icOEyIQ8Wzc3NaG5uxuTJk6HT6ZCTk4N///vf2LBhA0JDQ/H000/j1VdfRWdnJ157\n7bWLfbqXFFiWRWlpqejV8fPPP4NlWQeD/4FGdJ2dnSgvL0dUVBTi4+O9kgKwN6vXaDRgWdbBVKmv\n9MxQmgEBtgG+d999N5YvX37Ro2J3kBIyz/N45JFHsGPHDvj5+WH9+vVuzYyGswg5DLhMyN7GvHnz\n8Mgjj+CRRx75/+2de1BVdbvHPwsovI2XekUFxFBEUgETEZu8lZKGJhMhg41JR5SjTqUWkGne6FXU\nYRDrVUYszJo8k+MFErUmxFumCSJ58AYFnrhoDCAoIMpmP+cPYL3yWnnbwgZ+nxlm2Is1+/csNnzX\nbz2/5/d99EetK1euMHbsWC5dutTc4Zk9VVVVpKen614dFy5coHPnzo1SHXZ2dn8rrjU1NWRnZ1Nd\nXX3Pxqem4E6T//Lycj0ffeeW5jtN/ouLi8nOzn4sZkA3b97kn//8J+np6WzevBkXFxeTvbe5cODA\nATZs2MDu3bsf+2fbxChBNiWXL19m9OjRZGZm4uDgQFlZGVD3D9utWzf9teL+ERGKi4s5deqUPpPO\nz8+nT58+jUrvunTpgohw8eJFysvLm9RA6c9oaDp7Zz7awsICg8GApaWl7vFsyvhOnjxJaGgo06dP\nZ/78+WZRNWJKDAYDCxYs4NSpU6xatQpvb+/mDsnUKEE2FRUVFYwZM4YlS5bg5xou7aUAAAz8SURB\nVOdH165dGwlwt27duHbtWjNG2Hpo6F/XINBpaWmUlZVRW1uLq6srb7/9Nu7u7mbjQSEiFBUV6T33\nLCwsGnW4flST/6qqKj7++GMyMjLYsmULzs7Oj+EqmpekpCQiIiIoLi7mww8/ZPbs2YBKWdwPbU6Q\na2pqmDx5MhMmTOC9994DGq8Oq5TF42X37t2sWrWKkJAQampq+Pnnn8nMzMTa2rqRwX+/fv2avDdg\ng1FRw6z4zgXA/zT5Ly8vb9Q8tUGo/26m+9NPPxEWFkZQUBDvvPNOq5sVQ13tdHBwMNHR0RQXF3P6\n9GkmTpzI2LFjmzs0U6ME+VEREYKCgnjqqaeIiYnRj4eFhfH000/ri3qlpaWsW7fOZOPW1tYybNgw\n7OzsSEpKIjc3l8DAQEpKSvDw8OCrr75qMwYxRUVFd1l2igjl5eWNDP5zcnKwtbVl6NCheHp6MmzY\nsMfWZPbOXYr9+/e/b6OiO42BGvLRRqNRz0dbW1vTuXNnDAYDERERZGZmEhcXR//+/U1+DeaE0WjE\nwsKCgoICYmNjsba2Jjg4GFtb29Y0S1aC/Kj8+OOPjBo1CldXV332tXr1ary8vAgICOD333+nT58+\n7Nixw6TG69HR0aSlpXH9+nWSkpIICAjAz8+PwMBA5syZg7u7O3PnzjXZeK2BBm+IBoFOTU3l2rVr\ndxn8P2oD15s3b3LhwgU6dOjw0GZAd9Jg8l9eXs7x48dZvXo1FRUVPPvss8yaNYsxY8Y02t32uPn0\n00/ZuHEjlpaWTJo0SZ9oREZG8vnnn2Npacknn3yi7+58GBpEtmGXZUBAAFFRUbi4uHD48GESEhJw\nd3fXu723EpQgt0Ty8/MJCgpiyZIlREdHs3fvXrp3787Vq1exsrLixIkTrFixgu+//765QzV7DAYD\n586d021Jz5w5g6ZpjQz+BwwYcF+pABEhLy+PwsJCBgwYYPK688rKSlasWMHFixeJioqitLSU1NRU\nHBwceOONN0w61l9x6NAhVq1axb59+7C2tqaoqAgbGxvOnz/PtGnT9B5248ePJysry2QplA8++IAu\nXbqwePFiAOLi4sjOzsbX15eRI0eaZAwz4L4EuWmTbop7smDBAtatW6fPyEtKSujatas+E2vY/6+4\nN1ZWVri7uxMSEsKWLVtITU3l0KFDTJ8+nevXr7N27VpeeOEFfHx8WLp0KYmJiRQWFvKfk5SKigrS\n0tK4desWnp6eJhVjEeHo0aN4e3szcOBAfvjhB5577jnGjRvHokWLmkyMAWJjY1m0aJGeHrKxsQHq\nvCkCAwOxtrbG0dERJyenh97Q0ZDuWbx4MUajERFh1KhRumUo1JWXaprGvn372lz1kvlWlLdBkpKS\nsLGxwcPDg8OHDzd3OK0OTdPo1KkTY8eO1ReNRIQ//vhDN/iPj4/n6tWr9O3blyFDhpCbm4uNjQ3v\nv//+A+8EvBcVFRUsW7aMX3/9lT179uDo6GjS939QsrKyOHbsGEuWLKFdu3ZERUXh6elJQUEBI0aM\n0M97lEmBpmnY2tqya9cuPD09ee2113ByciIhIYHa2loAevToweTJk+nUqZPJbUnNHSXIZsTx48f5\n9ttv2b9/v75jbP78+ZSVlWEwGLCysiI/Px87O7vmDrXVoGkaPXv2xNfXF19fX6Aur7tnzx7Cw8Ox\nt7cnKyuLlJSUuwz+H3ZbdcOseNGiRcydO5dNmzY1WYXI35kCGQwGSktL9e3vAQEB5OTkmHT82tpa\nLC0tiYqKIiYmhgkTJuDi4kJ5eTkLFy5k3rx5vPrqq4wePdqk47YUlCCbEZGRkURGRgJw+PBhoqKi\n+Prrr5k6dSo7d+4kMDCQbdu26cJhKsrKypg1axaZmZlomkZ8fDwDBgxok34dgL7JIykpSfeIqK6u\n1g3+N27cyLlz5+jYsWMjg/8+ffrcU1hv3LjB0qVLuXz5MomJiTzzzDNNcEX/Jjk5+S9/Fhsbi5+f\nH5qmMXz4cCwsLCguLsbOzo68vDz9vEeZFDTknUeNGkVKSgqJiYlMmzYNFxcX0tPTzaq1VrMgIg/y\npWgiDh06JJMmTRIRkd9++008PT2lX79+4u/vL9XV1SYda8aMGbJlyxYREbl165Zcu3ZNwsLCJDIy\nUkREIiMjJTw83KRjtnSMRqMUFxfLgQMHZPny5eLj4yODBg2SiRMnykcffSQJCQmSl5cnFRUVUllZ\nKRUVFZKUlCRubm6yefNmqa2tbe5LuIvY2FhZunSpiIhcunRJ7O3txWg0SmZmpri5uUl1dbXk5OSI\no6OjGAyGRxqrurpaoqOjZdKkSTJmzBhZsGCBVFZWmuIyzJX70lhVZdHGKS8vZ8iQIeTk5DQqB1Ob\nXx6cBve5hl6GaWlp3LhxA2dnZ4qKimjfvj1xcXE4ODg0d6h/yu3bt5k5cyYZGRk8+eSTREVF8dJL\nLwF1KY34+HisrKyIiYnhlVdeeeTxjhw5QmRkJCtXrsTLywv4d01yK0SVvSnuTUZGBiEhIQwcOJBf\nfvkFDw8PNmzYgJ2dnfLrMAE1NTWcPXuWvXv3smzZstYqNg/NxIkTGT9+PKGhofo6SStFlb0p7o3B\nYCA9PZ25c+dy5swZOnbsyJo1axqdo2laa9kt1eQ88cQTeHh4sGLFCiXGf8LKlSvJzs7GaDS2ZjG+\nb9RfSBvH3t4ee3t7/ZHR39+f9PR0evTowZUrV4A6X+iGmlSFwpR4eXmxefNmdbOqR/0W2jg9e/ak\nd+/een744MGDDBw4kClTprBt2zaAx1LZoVDcidFobO4QzAKVQ1aQkZHBrFmzuH37Nn379mXr1q0Y\njcbH6texfv16PvvsMzRNw9XVla1bt3LlypU2a6KkaPWoRT2FeVJQUMDIkSM5f/487du3JyAgAB8f\nH/bv369MlB6QjIwM5syZQ3V1NVZWVmzatEnvBj5//nz2799Phw4d+OKLLxg6dGhzh9uWUYt6bYG/\nuqHm5eXp7YbMEYPBwM2bNzEYDFRVVdGrVy9SUlLw9/cHICgoiISEhGaO0vwJDw9n+fLlZGRkEBER\nQXh4OFDXCik7O5vs7Gzi4uLUja2FoAS5BSP1NoZZWVnU1NToxwC++eYbPDw88PLy4s033yQuLo7T\np083Z7g6dnZ2hIaG4uDgQK9evejSpQseHh7KROkh0DSN69evA3U15ba2tkCdIdCMGTPQNI0RI0ZQ\nVlamL9IqzBclyC2YhlI0X19fzpw5ox/bvn07oaGhZGVl4ePjQ2FhISdPnmT27NkcOXKkOUMG6jpG\nJyYmkpubS2FhIZWVlXz33XfNHVaLJCYmhrCwMHr37k1oaKi+9b6goKCRj7K6wbUMVOFfCyczMxML\nCws9b3jixAkiIiJ028Z27drh7+9vVo+sycnJODo60r17dwD8/Pw4fvy4MlH6C/7OEOjgwYOsX7+e\n119/nR07dhAcHPy3fhUK80bNkFswVVVVJCcn8/LLLwN1s6KjR4/qTSKvXr1KUVGR7m/bYG/Y3Dg4\nOHDy5EmqqqoQEb3U7sUXX2Tnzp2A6UrtZs6ciY2NDYMHD9aPlZaW4u3tTf/+/fH29tYb1IoI7777\nLk5OTri5uZGenv7I45uC5ORkMjMz7/ry9fVl27Zt+Pn5ATB16lTdp9iUhkCKpkMJcgvm7NmznDt3\njilTpgCQmppKSUmJb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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# now, ideally these should be an ellipsoid centered around 0.0\n", "# but they aren't ... need to fix the bias (offset)\n", "plotMagnetometer(m, 'raw mag')\n", "plotMagnetometer3D(m, 'raw mag')" ] }, { "cell_type": "code", "execution_count": 74, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "bias [55.7, -43.2, -49.85000000000001]\n" ] } ], "source": [ "# so let's find the bias needed to correct the imu\n", "bias = find_calibration(m)\n", "print('bias', bias)" ] }, { "cell_type": "code", "execution_count": 75, "metadata": {}, "outputs": [ { "data": { "image/png": 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WBxobi80nDbdIUtm6UGvW6Cjacj3LAVbOdrnu9/X8MPD4HhbnBjp7Oy+oj3B5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\nljuNBnZDD9Z2Z78VQLnNub+FyYNVGC82bpUiqILu60oTGPtZd3if6Lr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4U1sgNQe6LbRd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\nr84j3eKRrCt15APPMtGdmc37VKaLanwPUV/fmjXwx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GYwyB/z7//emKaGDoWrr86vX7kS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\nFVZwWCwWi6UqrOCwWCwWS1VYwWGxWCyWqrATAC2WQ4SIDMWkEweTyysHf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LfZcRajooGoTsD4GIurOzE4ODg8jOzja01EMwCPkCQq+Zg0YUwXz5RFFEU1MTmpqaMGHC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\nzz33HHJyc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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# now the data should be nicely centered around (0,0,0)\n", "cm = apply_calibration(m, bias)\n", "plotMagnetometer(cm, 'corrected mag')\n", "plotMagnetometer3D(cm, 'corrected mag')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now using this bias, we should get better performance." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Check Calibration" ] }, { "cell_type": "code", "execution_count": 77, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "imu length: 1000\n", "duration: 33.9618752003 sec\n" ] }, { "data": { "image/png": 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JZVeJdMDjaKoKXHCB1WWyqgq4884T5r3FU4El+h7SnZVn1O2tQ/WWahiGAZ/Hh9qJtaZ+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\nAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# read in new data and break it out\n", "cal_check = read('check_cal.dat', ['imu'])\n", "a, m, g, ts = breakout_imu(cal_check)\n", "\n", "# apply correction in previous step\n", "cm = apply_calibration(m, bias)\n", "plotMagnetometer(cm)" ] }, { "cell_type": "code", "execution_count": 79, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "timestep 0.0327670574188\n" ] }, { "data": { "image/png": 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2iYh7YqsVndjqUyQ5hLyMFCqqrcfUhhYXbSZwnvyuEixSZ9zg7Kid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\nRPJEZKh9nD7Fhfe8y+6qevtVE5vLajz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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Now let's run through the data and correct it\n", "roll = []\n", "pitch = []\n", "heading = []\n", "\n", "for accel, mag in zip(a, cm):\n", " r,p,h = getOrientation(accel, mag)\n", " roll.append(r)\n", " pitch.append(p)\n", " heading.append(h)\n", " \n", "x_scale = [x-ts[0] for x in ts]\n", "print('timestep', ts[1] - ts[0])\n", "\n", "plt.subplot(2,2,1)\n", "plt.plot(x_scale, roll)\n", "plt.grid(True)\n", "plt.title('Roll')\n", "\n", "plt.subplot(2,2,2)\n", "plt.plot(x_scale, pitch)\n", "plt.grid(True)\n", "plt.title('Pitch')\n", "\n", "plt.subplot(2,2,3)\n", "plt.plot(x_scale, heading)\n", "plt.grid(True)\n", "plt.title('Heading');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, this data was acquired with the imu starting off flat and slow rotated 360 degrees with stops around 90, 180, 270 from the starting position. At the end, I started wobbling/nutating (don't know how else to describe it) so you see the roll and pitch jump up ... there was some inadvertant change to heading during the end.\n", "\n", "Now looking at the results, you can see I didn't start at 0 deg and there is approximately 4 movements about 90 degrees appart ... which is what I did.\n", "\n", "# Notes\n", "\n", "## macOS\n", "\n", "In order for shelve to work, reinstalled python with:\n", "\n", " brew install python --with-berkeley-db@4\n", "\n", "The issue is linux uses bsddb as the database and macOS doesn't ship with that databse installed. Thus you cannot read it. Eventually I will remove this requirement, but this test data might not change.\n", "\n", "# References\n", "\n", "- [Simple Calibration Routine](https://github.com/kriswiner/MPU6050/wiki/Simple-and-Effective-Magnetometer-Calibration)\n", "- [Calibration Routine](http://www.sensorsmag.com/components/compensating-for-tilt-hard-iron-and-soft-iron-effects)\n", "- [Hard/Soft Iron Effects](https://www.phidgets.com/docs/Magnetometer_Primer)\n", "- [Wikipedia: Earth's magnetic field](https://en.wikipedia.org/wiki/Earth%27s_magnetic_field)\n", "- [NASA: Earth's Pole Reversal](https://www.nasa.gov/topics/earth/features/2012-poleReversal.html)\n", "- [Wikipedia: Tesla (unit)](https://en.wikipedia.org/wiki/Tesla_(unit))\n", "- [C version](https://github.com/TobiasSimon/MadgwickTests/blob/master/MadgwickAHRS.c)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "-----------\n", "\n", "\"Creative
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License." ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.13" } }, "nbformat": 4, "nbformat_minor": 2 }