Skip to content

Instantly share code, notes, and snippets.

@krischer
Last active December 16, 2015 21:39
Show Gist options
  • Star 0 You must be signed in to star a gist
  • Fork 0 You must be signed in to fork a gist
  • Save krischer/5501747 to your computer and use it in GitHub Desktop.
Save krischer/5501747 to your computer and use it in GitHub Desktop.
filter_design.pynb
{
"metadata": {
"name": "Decimation Filter Design"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": "# Decimation Filter Design\nThis worksheet aims to explore the optimal way of filtering a seismogram before integer decimation.\n\n### Goals:\n* Have as little energy in the stopband after the new nyquist frequency as possible. Otherwise aliasing **WILL** occur.\n* For many applications a time shift is not desired. Thus only linear- or zerophase filters are acceptable.\n* Be as efficient as possible. Usually integer decimation is used to reduce the computational demand of subsequent operations. Therefore the decimation is only useful if is reasonably cheap.\n* The frequency response of the filter in the passband should be as flat and close to 1 as possible.\n* The transition zone between passband and stopband should be as small as reasonable/possible.\n\n\n#### Some resources:\n* http://www.dspguide.com/ (Very good and free to read online!)\n* http://www.dsprelated.com/showarticle/164.php\n* http://mpastell.com/2010/01/18/fir-with-scipy/\n* http://mpastell.com/2009/11/05/iir-filter-design-with-python-and-scipy/\n* http://www.dspguru.com/dsp/faqs/fir/properties"
},
{
"cell_type": "markdown",
"metadata": {},
"source": "### Step 1: Define the test signal\n\nThe test signal is a seismogram with a sampling rate of 100 Hz, bandpass filtered between 1 and 2 Hz. Thus filtering and a decimation to 20 Hz (a factor of 5) should not change the signal. The new Nyquist frequency will be 10 Hz."
},
{
"cell_type": "code",
"collapsed": false,
"input": "import obspy\nfrom obspy.signal.tf_misfit import plotTfr\n\n# Get some data.\ntr = obspy.read()[0]\n# Apply filter.\ntr.filter(\"bandpass\", freqmin=1, freqmax=2, corners=4)\n\ntest_signal = tr.data\n\n# Plot it\nfig = plotTfr(test_signal, dt=0.01)\n\noriginal_sampling_rate = 100.0\nnew_nyquist = 10.0",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "(1, 100, 3000)\n"
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAawAAAEVCAYAAAC8DdERAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzsvXt8VcW5///eOyQhARIuuXBJkJuChKCI2tKKRs7xWrCo\n+APRVlFbtVWraNXaHgmtYrXHWj3Vqodq+ypUwUv706JUrcZTr1ilclEUIzEXuSRcQkIg2Un2949Z\ns9fsyay1doCwE5zP6zWvvfZaM7OevfZa65nP8zzzTCgajUaxsLCwsLDo5ggnWwALCwsLC4tEYBWW\nhYWFhUWPgFVYFhYWFhY9AlZhWVhYWFj0CFiFZWFhYWHRI2AVloWFhYVFj4BVWBYWFhYWPQJWYVlY\nWFhY9Ah0K4W1adMmrrjiCi644IJki2JhYWFh0c3QrRTWyJEjWbx4cbLFsLCwsLDohuhyhXXZZZeR\nn59PcXFx3P6VK1dSXFzM+PHjufvuu7taDAsLCwuLHo4uV1jz5s1j5cqVcfuam5u5+uqrWblyJWvW\nrOHpp59m9erVXS2KhYWFhUUPRq+uPsHUqVOpqKiI2/fuu+9SVFTEsGHDAJg9ezYrVqzgiCOO4Lbb\nbuPf//43d999N7fcckuH/kKhUFeLbGFhYfGVh5oXfeDAgezcuTP2fcCAAezYseOQy5QUH1Z1dTWF\nhYWx7wUFBVRXVzNw4EAefvhhNm7caFRWEtFoNLAsWLDgoNQ52PW6a1/y5kykXncoif6m7lCsrFbW\nniavjp07dxKFWFGV16FElzMsEyxLsrCwsOhhULVFa3JESArDKigooKqqKva9qqoqjnFZWFhYWHQz\npCvFgKqqKk4++WSKi4sZO3Ys99xzDwDz589n/PjxjB8/nunTp7N9+3YAKioqyMjIYNKkSUyaNIkf\n/OAHgSIkRWGdcMIJrFu3jpqaGiKRCMuXL+ess846qOcoKSk5KHUOdr3u2ldPQ0/6TVbWrkFPkhV6\nnrwd0FspBqSlpfHQQw+xdu1a3n//fRYvXsyHH37IjBkzWLduHR999BETJkzgjjvuiLUZM2YMq1ev\nZvXq1Tz00EPBMkS7GHPmzIkOGTIkmpaWFi0oKIg+9thj0Wg0Gn3hhReiRUVF0aOPPjq6aNGihPs7\nBCJ/ZWGvrYWFRTTa8V0ARKND3ZLIu+L888+PvvDCC3H7nnvuuegFF1wQjUaj0U2bNkUnTJjQKblC\njjA9BqFQyOgUtDhw2GtrYWEBHd8FoVCIBQPc4wt34vuuqKio4JRTTmHdunX069cvtn/GjBnMmTOH\niy66iIqKCoqLixk9ejSZmZnccccdTJs2zV8uq7AsJOy1tbCwALPCih6tHP/YW2E1NjZy6qmn8tOf\n/pSZM2fG9t9555188MEHPPPMMwC0tLSwb98+srKyWL16NdOnT2f9+vX079/fU65ulZopUZSWllJW\nVpZsMQ4blJWVUVpaCthra2HxVYb6LuiAAB8WQCQS4fzzz2fu3LlxyuqPf/wjK1asYOnSpbF9aWlp\nZGVlATBp0iQmTJjAhg0bfOWzDMsiBnttLSwswINhfV05/k5HhhWNRrnkkksYNGgQ9913X2z/ypUr\nufHGG3n99dfJycmJ7d+xYwf9+/cnHA5TUVHBN7/5TT788MO4OjqSMg/LwsLCwqKHIc3/8JtvvsmS\nJUuYOHEikyZNAmDRokVcd911tLS0cNpppwEwZcoUHnroIV599VVKS0sJh8NEo1EeeOABX2UFlmFZ\nKLDX1sLCAjwY1unK8Zf8gy66CpZhWVhYWFgEw2PC8KGEVVgWFhYWFsHwCbY4VLAKy8LCwsIiGJZh\nWVhYWFj0CFiGZWFhYWHRI2AZ1v6htLSUkpKSnp9MspugrKwsNlnYXlsLi68u1HdBB3QDhmXD2i1i\nsNfWwsICPMLab1OOL7Jh7RYWFhYW3RXdgGFZhWVhYWFhEQzrw7KwsLCw6BHoBgyrR2Zrt7CwsLA4\nxEhXigFVVVWcfPLJFBcXM3bsWO655x5AJLk97bTTmDhxImeccQa7du2KtbnrrrsYP348xcXFvPTS\nS4Ei2KALixjstbWwsACPoIs/KMcv7Rh0sXXrVmpra5kwYQKNjY0cd9xxPPXUUyxevJjRo0dz/fXX\n85vf/IZNmzZx//338/7773PVVVfxzjvvsGXLFk466SQ++eQT0tK8s+xahmVhYWFhEYw0pRiQn5/P\nhAkTAOjbty8TJ06kpqaGF154ge985zsAXHzxxaxYsQKAFStWMGfOHFJSUhg2bBhFRUWsWrXKVwTr\nw7KwsLCwCETpXxOvW1FRwXvvvcdjjz1GbW0tgwYNAiAnJ4dt27YBUFNTw7Rp02JtCgoKqK6u9u3X\nKiwLANrb25MtgoWFRTdG6SXu9sLl3vUaGxuZNWsW999/f2xF4YOFHmkStMu4H1yoy2Lba2th8dWF\n+i7ogICgC4BIJML555/PRRddxMyZMwHIzc2lrq4OgNraWvLy8gDBqKqqqmJtq6urKSws9JXPBl1Y\nAOJGS0tLs9fWwsLCHHTxhnL8pI5BF9FolEsuuYRBgwZx3333xfZfe+21saCL++67j02bNvHAAw/E\ngi7efvvtWNDFxo0bSU1N9ZbLKiwLsArLwsLChVFhvaccP6GjwnrjjTc4+eSTmThxIqFQCBBh6yee\neCKzZ89m69atDB48mOXLl9O/f38AFi1axJIlSwiHw9x7772cccYZ/nJZhWUBVmFZWFi4MCqstcrx\nYptL0CKJsIrKwsLCFzY1k4WFhYVFj0A3SM1kFZYFYBmWhYVFACzDsrCwsLDoEbAMy6K7wDIsCwsL\nX1iGZdFdYBWWhYWFL6zCsugu+MoqrAjgPU/RwsLCQXOyBcAqLAsH4XCPzNJ1YIgon1ZpWVgIRMy7\nu4PC6pFvKZvv7uCirKyMRYsWAfbaWlh8lVFWVkbpL0qNx/YpJVmwmS4sAGhtbSU1NfWrdW3VkaRl\nWBYWAhEIpXXMdFGpvBqGhzq6ES677DJWrFhBXl4ea9eKtBhz5szhk08+AWDXrl3079+f1atXU1FR\nwdFHH824ceMAmDJlCg899FCgaNYkaAF8RU2CFhYWCSOIWc2bN49rr72W7373u7F9Tz75ZGz7pptu\niuUQBBgzZgyrV6/ulAxWYVkAh/F6WAfLP2X9XBZfcQT5sKZOnUpFRYXxWDQaZfny5bz22msHJINV\nWBYAtLW1JVsECwuLbowHSve/7T//+U/y8/MZPXp0bF9FRQXHHnssmZmZ3HHHHXGrD3vBKiwLQPiw\nDjt0JgrQr45H1JSFxVcJl5S62/+7sHNtn3jiCebOnRv7PnToUGpqasjKymL16tVMnz6d9evXx5kM\nTbCOCwuA2Po1hy28lI5VRhYWCWF/owRbW1v5y1/+wuzZs2P70tLSyMrKAmDSpElMmDCBDRs2BPZl\nFZYFYIMuLCws/NGslM7glVde4eijj2bo0KGxfTt27Ij5zSsqKli3bh1jxowJ7Mu+pSyAr4gP60BZ\nll4v0om2FhY9HEEM68ILL+Qb3/gGn376KYWFhTz++OMALFu2jAsvvDCu7muvvcbEiROZOHEiM2bM\n4IEHHiAnJydQBjsPywKA3bt3k52dfXhdW5MySdWOR5T9ifiw9Pb6PguLng6PeVh/Vl4Ncw3zsA4F\nbNCFBQApKSnJFuHQorPsKCgowyoti8Mc3SE1k1VYFgA0NDQkW4RDg0QUj86cIj51TH2obS0sDhMk\nMyWThFVYFgBkZGQkWwQLC4tujJZkC0APDbqwCVoPLsrKyliwYAFwGF3bAwmk8Pru16cNwLA4DGCT\n3x5k2KCLrsHOnTsZOHDg4XNt/ZSHNOnJ4hVwodZT9/mZBNV6FhY9ER5BFz9XXg23JynookcyLIuD\njx07diRbhIOPzoSxBykgE9PyY1UHyrYsW7NIFjzuve7AsKwPywKA7OzsZItgYWHRjWGjBC26DQ7b\noAuvqECVHQWFpZvMgqbIwaBzJoqI9mnNixbdADZK0KLboLGxMdkiJAeqcjFNEE7E7Ofl0wpSOIkq\nNjvPy6IbwDIsCwsLC4sege7AsGzQhQXwFcjWDvGRgUFh6PpxU1u/frzC4YPC6P3ksbBIIoKS3152\n2WXk5+dTXFwc21daWkpBQQGTJk1i0qRJvPjii7Fjd911F+PHj6e4uJiXXnopIRmswrIAbLZ2CwsL\nfwQprHnz5rFy5cq4faFQiPnz57N69WpWr17NWWedBcD777/Ps88+y9q1a1m5ciVXXnklLS3BU5Pt\nW8oCEOvTHDbYnzyBXm0TYVRex736TUQ+r/NYWCQJQWHtU6dOZcCAAR32m+ZrrVixgjlz5pCSksKw\nYcMoKipi1apVgTJYhWUBHKYrDltYWBw0fFLqls7gwQcf5Oijj+biiy+OzfesqamhoKAgVqegoIDq\n6urAvqzCsgBgz549yRbh4MPLtxTEhkz1mpyi79NZU1C/frKaGNyBsCzLyCw6C597ZnCpWxLFD3/4\nQ8rLy/noo48YPXo011133QGJF6iwJk+ezIMPPsjOnTsP6EQW3Ru9eh0mAaOmB04PCfcLUzcVXVGp\n+9Rjpj6Czud1vDMmxP09ZmFhgsc906KURJGTk0MoFCIUCnHllVfy3nvvAYJRVVVVxepVV1dTWFgY\n2F+gwnryySepqanhhBNOYM6cOfz9738/fPLNWcTQu3fvZItgYWHRjbE/qZm2bdsW237mmWcoKioC\n4Oyzz2bZsmW0trZSXV3NunXrOPHEEwP7Szj5bXt7O3/729+4+uqrCYfDXHrppfzoRz9KaFnjgwmb\n/LZr8Prrr1NSUtKzr62JkaQCmbhsSD0uJ+SqyW/V/Tht6p1P2Zc+0diUPDfVUNQ2el31N/jV0c9l\nmuxsOo9JZgsLHc5zEurfMfntKOXV8Lkh+e2FF17I66+/Tl1dHfn5+SxcuJDXXnuNNWvW0NLSwhFH\nHMHvf/97hg0bBsCiRYtYsmQJ4XCYe++9lzPOOCNQvIQU1ocffsjjjz/Oiy++yBlnnMHcuXN56623\nWLJkCR988EGCV+LgwCqsrsHGjRs56qijeva1tQrLvF89ZhWWhR98FNZQ5dXwZZKytQc6LiZPnkx2\ndjZXXHEFd999N+np6QB8/etf58033+xyAS0ODTZu3JhsEQ4+/MLL1WMmhSH3NylFVRpqv5k+MgTl\nKDSldTIpG1VOXeZE0JngD/3cFhb0kNRMTz31FKNGjTIee+aZZw66QImgtLSUkpISSkpKknL+ww1l\nZWU8/vjjgL22FhZfZZS9XkbZP8qMx7pDaqZAk+Ctt97KbbfdRlZWFgD19fXcfffdLFq06JAIqMOa\nBLsG77//Pscff3zPvramCD1pxoP40HRZX5rYsokPX5eoxzUJ4vSVqbX3MhNmKsfUNn4sxhTarpoB\n/UyMXqZFL5aUSPSkqU5Xsa6u7NsiMfiYBHspr4bW7rqA48qVK2PKCsS6SWo+KIvDA4flf+o1Nwri\nlZapjWoKrA8oal2v0PigsHc9ZN7Un0lOv9+i/9b9QSLXLJE+vH4HeF8Li+TA49q3khIryUKgwmpu\nbiYScX9BS0sLe/fu7VKhLA498vPzky2ChYVFt0ZvpSQHgT6sOXPmcOqppzJv3jyi0Sh/+MMfuPDC\nCw+FbBaHECNGjEi2CAeGoBG6KYJQNUGlEs9w5LbKpCDeJCi/m0x+ah3TYs5+bMgkox7YoZsETcEj\n6v5EgykSjTpMFF6MyqJ7wve/SVe2k5MZJ1BhLViwgIkTJ/LKK68QCoX48Y9/zLe//e1DIZvFIURN\nTU2yRbCwsOjWSH5ygYQnDncX2KCLrkF5eTljxow5dNf2YDvYTX4giJ+H5ReUkeO02Uy8X6rOKSrD\nUgMfZFs1sEP2m62VVKcfU1AFSns1MEQ/l1eQh1rXK3BDhyl4ozNh7TpzSzQFVmdggzAOLZz7L5Tb\nMeiC6Ei3XmhT9wy6+POf/8yIESPo27cv/fr1o1+/fnFBGBaHB/r165dsESwsLLo1ku/DClRYt956\nKy+++CKNjY00NDTQ0NDA7t27D4VsFocQaiLKLoUpIqyr+08kek+vL/1WkmFtdkqlsr0Zl315RRU2\n0fE3esnRpG3r0YJBv8P0W4Lq6XKZrqEXvPyEQe28+jqYEYKdkftwRmeuaeB/nq6UjjCtODx//nzG\njx/P+PHjmT59Otu3bwegoqKCjIyM2ErEP/jBDxL6OYEKa8SIERx99NEJdWbRc3FIfFiJBBocyAvL\nFHiR6ItaVxT1uApJKqdyhMKSRTUf6opOD3lXz6UrI5Oy07e9lJX6uzHsT1S5+W0fyH8T1NZvvy5P\nZ/r0a+t1rDvgYA7ivAZKnWkTB3+FZVpxeMaMGaxbt46PPvqICRMmcMcdd8SOjRkzJrYS8UMPPRQg\nmEBg0MWkSZO48MILOeecc2Kr0oZCIc4777yETmDRM3DkkUcmWwQLC4tuDbOikpg6dSoVFRVx+049\n9dTY9je/+U3+9Kc/HZAEgQqrvr6e9PR0Xnrppbj9VmEdXpDr1HQZ9mdkvj8O986O6E3mQ9UUqJoA\n1QS4MtgCRECFDOxQE+Xi7JdZNPSACHluNfBBnj9iaINWX/9dpu+ma2AK2PC7Zp3JdhFkFgwyR6rn\nNJ3Hq08/efwSDyeCRK7J/vSXSJ7JAz1HIsdM0x6MODDf1aOPPsqcOXNi3ysqKjj22GPJzMzkjjvu\nYNq0aYF9BCqsP/zhDwckpEXPQGqqDceysLDwQWnFfje98847SUtL46KLLgJg6NCh1NTUkJWVxerV\nq5k+fTrr16+nf//+vv0EKqz169dz5ZVXUldXx4YNG/joo4946qmnWLBgwX4Lb9H9ILPwHxIEsQW1\nnh+b0JcEMflcvNqqfeh+JcmwKuNLq9OkFwjWNMTZMQSXRUm/k8qw/FYs1mVTlzNR5VOvhWkisel6\n6L4ztY6+rbZTjyfKLhJhXUHMUP9POpOdfn98MwfS74FYALz66CrfVaL1g/x7pce42ws/Tbj7P/7x\nj6xYsYJXX301ti8tLS3mYpo0aRITJkxgw4YNfP3rX/ftKzDo4rLLLuPee+8lIyMDgKOPPprly5cn\nLKxFz8Bzzz2XbBEsLCy6NfyDLkxYuXIl99xzD88991zcquY7duygvb0dEKbBdevWMWbMmMD+AhnW\nvn37+NrXvhb7HgqFSElJXvJDi65BZqbfok4HCD+/RiK+mUT8Jeo+vZgWWFTrS7ajhrLLEPZyaN0s\nqrQ4TVKA9HrIrEcwnXqlH+n7kixB+rp0diXb6LLo2eElm5ITjzF86tfDy4+nMpdMOv4viUSR+bGk\nIJ+Vlz/JdB1UdpewjyWBc3W2j0SOJ2IF2N/zJ9K+s/6q/e0rQFGpKw4XFhaycOFC7rrrLlpaWjjt\ntNMAmDJlCg899BCvvvoqpaWlhMNhotEoDzzwQEKr1wcqrIEDB/LZZ5/Fvv/tb39j0KBBgR1b9Cx8\n7Wtf43e/+13XnsTL/GM6vj8LFJqKDq+XvGoKVJRVZDPsRmRO2we0IxRWb4SJMKuSeIUlw+Fl39nE\nB2KoJj9TuLtJYalBGxg+5bYa7KFnzJB1dLMh2ndVyesvTF2J+MFkelW/m+ro6MxAxSuPote5/fr3\nO2cigyo/s1+i50q0TWeUlb6vM9cXCAq6eOKJJzrsu+yyy4x1Z82axaxZs3z7MyFQYT388MNccskl\nbNiwgeHDh5Obm8uyZcs6fSKL7o1krW9mYWHRU3AI/dweCFRYY8eO5c0332T79u1Eo9GEaJtFz0Of\nPn26puMgh67XiM9rlOk3avQKalBz8Zn61fMGOpOEWze7hKfBqdKKeGgygSiQUQepMs9gRGkv5cgG\nhuPmIlTPpbIc1RyoTkZWgza8GJaJNeqTjVO1orfzMqXq6Kx5Vt825S5MxGQXZN7rLNNQjwWFznuZ\nLzsbMOF1jVTmGjHs7ywT2t9nLPC/SH7y20CFtXDhwljC2VAoFNt/++23d6lgFocWd955J2effXay\nxbCwsOi26AEMq0+fPjFFtXfvXlasWGFTNR2GCJr/kDCCGJBXHVPm7/2x5fv5sHSWorIxzX/VXil2\n7QR2OZ+NQBvCh9UXCAH9gAH1Sn9OOHx7BMIRRMCFTPEEZhalMqI65TjETzxWr408Jr+rRe1PZWcq\n00Tb1hmZqV/9WqrsTz+GYb/+H+v/U2f9YzqCwvD3x3/TWXbWmT4TmRTdGSQiu4npJixHD2BYN910\nU9z3W265hTPOOKPLBLI49Hjuuee4/PLLO9eosw+Xn9I6EGWlv/B0syDEL8ehvtRR6qnBFpVCOe1G\nKKs6YDtubEUvhKJKAQbgKCz54q+DpogwHWZshtRyxDyt4bgKTV2yRM9DKI+psssoQ13+bG2fuoik\nnoMQpY7phamaUb0Ulmyf6HwqPwVhMkF6waSI/JSh372lt/cz6wUNsOSx/QneUNt6mU4TMQt6yedl\nxlT7lttBfcWQfIYVOA9LR0NDA+Xl5V0hS8IoLS2lrKwsqTIcTli0aBElJSWAvbYWFl9llL1dRulv\nSz2Odn4e1sFGIMNSU8W3t7ezZcsWbr311i4VKgilpaVJPf/hhGg0SlNTEz/60Y94+umnE7u2ibIr\nE6sKGmHqI8rOmIl0diXbquHe+nkkG1EYVnOda5Xb7hzagmBbexEPTX/EY5sDDK/DZTt1gp01I+Zt\n5WwgnmGpWeD1bOwOu2pGmB4BUprEnC+jKUc19anMSZ5HX94k09BOQjchynOpC1aq7VWY/lcM9Uzy\nNxnqmxij3O/HRnSZvNiVKocXErEIJGpWNAWa6AzNT/4DYXB+dQz9lkwpoWR8CQsfXGhomHyGFaiw\nnn/++dh2OBwmLy8vbsayRc9GdXU1n332GSeeeGKyRbGwsOjWSP57P1Bh6asLNzU10dTkzngcOHDg\nwZfK4pChsLCQY489Nm5g4otE2JWXTd00Eg8aQXbGj6WP2lU/kD56V9tKduNMFpb+q5247GozUOtU\nTQEGARk46QQ3E2NYkSYRAr8PwbBSgWzJsiSDkdnflQCM9nqXlakMKxWIRCCz3LHf67JLBqSyyEh8\n3x2YWLbWh9pGvW7qCD9T2+f3H+Nx3CukXS2yfxnQIT9NgRNBDMILfszFdH+a6uyvj8nEJk0WCJOl\nweRvM13vRK6RyY8V+Gz3AIZ13HHHUVlZyYABAwDYuXMnw4cPJxQKEQqF+Pzzz7tcSIuuw8aNG/ny\nyy9jeb0sLCwszOgBCuv0009n1qxZnH766QC8/PLLPP300zzyyCNdLpxF1+KTTz5h2rRpLFy4kAsu\nuCC4QVA0ktcxnV15+bIk9sd2r5/H5BuRfZv8PY7/qiki2FU9sAPBsGqBL50qDQiG1QD0QbimmiKQ\n6ZxTBvs1IhhYGEjbDBlrcRmMEinY2iR27UMwq31OaUOEzUtx24B+5UqUVAThQJNrc6nMUV/5WPVh\n6SHykm3J66D7sCTbUa+f7ofSi+ma6zD9VyoTlOwqEeagMxHTfh2J+KH82KJXHyYZE/W9mWT38Td1\naOfH5Ezw+1+M8DcJXnbZZaxYsYK8vDzWrl0LiCS3s2fPZuvWrQwZMoRly5bFptDcdddd/OlPfyIl\nJYV77703pmP8EBgluGrVqriOTjvtNN59993Aji26L6LRKP/85z+ZNWsWP/3pT7niiiuCG+k3sd+N\nbVJOQUVfgsN0Dj+FmWifemi2Gk5eLpSVNAdKk+BWoBrYJKqw0fmUazvuBPiAWDj8ToSy24arm1rX\nOnU2iNJaCU2O+VDqlR1K2e587nKKzLbRXq6cXF1csk7ZVsLzjUVvU5dA0cPk9WurH9OL6X4x1dUD\nUfT2fveP3zIuiShWVa5Ei95G/a5ve7VJpH8Tgs6RyDPo12cH+EcJzps3j5UrV8btW7BgAd/61rdY\ns2YNZ511VmxZqvfff59nn32WtWvXsnLlSq688kpaWlpM3cYhUGH169ePu+66i4qKCjZt2sQvf/nL\nDn4ti56DdevWMXXqVObNm8e1117L1VdfnWyRLCwsegR6K6Ujpk6dGnMdSbzwwgt85zvfAeDiiy9m\nxYoVAKxYsYI5c+aQkpLCsGHDKCoqYtWqVYESBJoEn332WX72s5/xrW99i1AoxEknncQzzzwT2LFF\n98PDDz/Mf/3Xf3HnnXdy+eWX7/8yMaaRsledzoxs5X6Tkz9IHq/zqZCsysMk2EQ845FMaQtQBVSF\nAWesVr9LTB4eiWBgw/4KVLpmxF3O6doRpr0wkL1ZmBPbnNOqJkCVTOzDzVmY5tRTPYzZ5bjsIZv4\npUfkfskaTSZBlXXItjpLkddLmhzVfWowRBB78TO56SxKQm+TqR1X+whC0CRZ3ZyXyL0aZKoLYm9e\nSPT36G1MjCpIDtM5g+qXPpaAgPGora2Nre6Rk5PDtm3bAKipqWHatGmxegUFBVRXVwf2F6iwcnNz\neeSRR9i9e7dlVj0U0WiUm2++mRdeeIG33nqLI488MtkiWVhY9DSU3uBuL+zipYg8EKiwXn/9dS6/\n/HKam5upqqpi/fr13H///Tz66KOHQj6LA0Q0GuWnP/0pr7zyCv/85z/3bxpCZ0Zhidro9bpeE4b1\nOkFymvwZ+oRZtb5kI47/SWVYuxCMSfqwGAIMRNClLPi0EkYhfFsj3xXMaatTdiDYVASR1R0Ec0pz\nttsQIex7HRH2IM7fiLvuVhhhfGnBDXMHwdj6VkK4CRF4oTIsbRJyBMHWwo48vTKJZzU6w1L/Hz0M\nXg2N19fyMrWXx3SGFtHa1NPxvF7sOJE0TX7tvPrxu2/V46napx97C9rW4XXMi1WZZDadz+s3mPrz\n8m0B+xMlmJubS11dHTk5OdTW1pKXlwcIRlVVVRWrV11dTWFhYWB/gT6sH/3oR7z66quxZUWKiop4\n6623Oi24RXLwyiuv8PTTT/Pyyy/bOXMWFhYHAH8flglnn302S5YsAWDJkiWxFSHOPvtsli1bRmtr\nK9XV1axbty6h5AWBDCsajTJ8+PC4feoyIxbdGzt27KCpqYkXXniBuXPn0qtX4F/uDa8RnKmO3E6E\nZfmFB5sBYHCDAAAgAElEQVRYVyIjRDl6N42kVSbg+HoiTYLlNGhFRgq2D0AwrHynz2xo3AcfbROB\nf7mIh0kG4kmGJf1RONuZzv6oIookGXJl470IRpWKeDVEcH1hOJ9RIFOuxaWxpPYmdxKyzrDSm6B3\nOfSSNDKHeHam/jfSf+WVrkm99l7RgPpEYz0s3pQSSg2jV1my2h9aHS/ojEhliDLE38uC4MU4dHm8\nkMjzErRf95eZZDGxKP13eJ1D/gemvjrAn2FdeOGFvP7669TV1VFYWMjPf/5zFi5cyOzZs3nssccY\nPHgwy5cvB2Dy5Mmce+65TJw4kXA4zCOPPEJqavA8lsC3V0FBAW+++SYAra2tPPzww4waNSqwY4vu\ngdmzZ5Ofn09paSm33XYb8+bN4/LLL2fEiBGd68jvgfCrm6jSgo4mJz13nWmuln5ev/B49eWqzlOq\nc9+ZjVqR4eYMQiisAoQWGQi0wUc74F+t7rjTSZbBLtz5WjJzhWqBCyn7GhVR5EKRUad9H0fkKELp\nSMUDQomlRyClTuxvd/qUwRzNTts2pV1vZ39mHWRIZafm7JNFDbiQa7aq+0ymVf3apypFf+nq2lqf\nN2dSJEGZKbygygEd7y110GS6h0xymAZUurkzUYVlOm4apOnnNvXjpbBMv8H0nPkqLH9m9cQTTxj3\nv/zyy8b9t912G7fddptvnzoCTYKPPfYY9957L+Xl5QwaNIjXXnuNxYsXd+okFslFSUkJZWVlvPji\ni/zlL39h6tSpRKPR4IYWFhYWMaQpJTnwZVhtbW3cdNNNPPvss4dKHosuQHNzM0899RS//e1vaW9v\n56WXXkrcrOtnLjHVMdVLZOQK8aNgfdSn1vGS03Qu6DipVe5TsrTvRTAdNbRchpvvTSWeYWUjbHeI\nRv/8UHQ9ABFwUel0nYKwIO5TTp2DWPwxBcGI9uGaHncizIJNCDNeqlM3lrldKSBYV7NySWS4vAzm\nkCwrimB0vRBj5EynTksE0urEfmlmlOHzkpGF9WwTalYNdcTvZRKU9XW2bJow7Hd/mdbh8mP5Eir7\n0cP0E2HiXvefzvhMmTb03+Inr9dvMGX8MMkaxK5MjFD/nV4TvCVaku8K8lVYKSkpVFVV0draemC+\nD4ukYvr06bS1tfGTn/yE6dOn7//8KwsLi68u9iVbgAR8WMOHD2fKlCmcc845ZGYKY3coFGL+/Pld\nLpzF/kMyqd/+9rdUVVWxdu3ahJyaRuijXb8Ro6luUIH4vHVqsITXiC8on51a5AhVTx2kMSy5Ww1W\naAGRFDAbQZeGIyIsWhB0pR2274MXP4E8HIaU7rRpgR1OMIfsqxnBxHojWMw+4tMy7XRkaEMYXuQ7\nIoxweUuiIG356bhBHPIc8reoDEteMsmw+uKG2av9gTvRWQZppMuJyhDPsNSs7zqDVUfyJr+V/j/4\nMSy1P69pD16sIFUrpmOme0ZnHWob/R7VkQj78dtWz6P2F3QODJ96Xfnd5A/Wg190NHvsP4Tw9GHJ\ndBrPPfcc06dPp729ncbGRhobG2loaDhkAlokhubmZt5++21+/etfM2vWLAoKCvjJT37Cueeeywcf\nfLD/ysrCwsICXDt5EpmWJ8NatWoVX375JcOHD+faa6+1TvpujN/97nfcdNNNjB07lilTpnDuuedy\nzz33MHLkyAObguDHljB8mvaZ/AH6yFUdPatpf1SYItOCfA8mpibbKAxLT4vUYYCZhkjJlIdgWHJ+\nY3/nWBjac2DLdrFNBuLJ2gd7a+GTzdAeFayp3ek/26myFzc7vEx424hgRWkIxqRG+KU7nynO/ojT\nTyvxg2SVLcqwdtWFI0Psezv7ZX8o55OXrg3IrFQ68Iu201mz/FQnNOtRmjrDkuGUEpIlJ5KWSIfK\nrvSs8yojVGU0+TxVVmL63Tr8GJDf86LKBh19f3r/fvv8zit/h/67ujnD8lRYV111Ff/xH//B559/\nzuTJk+OO2XWwug/27NnDLbfcwr///e+uSbnkdfOaHlavh8VLWZnMFCZThdeLwcv0YlJO+lwi+dLc\nHG9CU6tk4AQ4hBE2tFyEwhrRImoPzRLh7VkIJVbrdBBCaKYGhP0vAzaWu0ojFTdPoDThyQwbO53t\ndoRyUudj9XPEaMI1D0plFMENEpEZO5qcvuVQM835TXI80BdXCcpgjlhGDKf/NFxF21cqLQn54jb9\nH/Iiyv+1nnhzmklhyQGGlzEgaMDi1UY3/en7TQMbL4WlB5CoJVEzNT6fqmymQZv6+03nMsFrMKFf\n66B+uoEPy9MkeMMNN/Dxxx8zb948Nm3aFFessuo+yMjIICsri0cffZRXX32Vffu6wV1lYWFx+KFZ\nKUlCYNDFww8/fCjksNhPhMNhVq5cybJly/jpT3/KunXrmDJlCiUlJZx00kmccMIJZGRkdL5jE1tK\nZMSot+lMH+qIz2vkazpHUDFNQI4QC7iQTERmRU9xmvRDGdRmIGLShwN8AuyC9EwoGgZDBsORoi/2\n4Nr5txOXhaKiUlgRsxETglNwTXl7naZy8nAb7jRNKctep8jgjXRc9iRZomwvF5GUi0GGEQ+7DLiQ\npLO389PkpZdMSzLADNxw93BEMQ2Cm8dQ/T/UT3nxJLvSTYMy6MWUVR46sgAvNuB1H/qZA1XowQ3q\nRGadmesWAJ256dt6qHgQ01Jl0p8F/Zz6+UzwYmJ6uL+XHCq6wVg4cOKwRffHhAkT+MUvfsHbb79N\nVVUVP/jBD6irq+Omm24iJyeHb3zjG9x88818/PHHyRbVwsKipyKAYX3yySdMmjQpVrKzs7n//vsp\nLS2loKAgtl9f5LEzsJOrDjP079+fmTNnMnPmTED4uFatWsU//vEPSkpKOPnkk7n77rsTS6/lx5D0\noAmvtn6jT9NoUw0Zho6jTD+fiS5fk9JOHb0rfpRIk0uIZBUZ2AAOgWh3duQA4WpE9sAap0YODBwJ\nA4+A9gLhhJLOqC9xZwk3QfNuqNsl5h/L1EvyAVRZViNAGCLtrvhSvgiClbU5nzLF0z5chiZXKpYT\noeXE4zTnpzfgLovVB8Gi0nB9WXLQne6cT04m7gWkNEF6pSK06ndS/wedeaj7JcNS2VW9Vldl2H4M\ny+QPVfswha7rx1V5TYEXXhYA/X7Tw/eDLBJecsvjKtPU13BD206UZfkxRr8+IJBhjR07ltWrVwNi\nWs2wYcM477zzeOyxx5g/f/5BmQplFdZhira2Nqqqqnj//fd55513ePvtt9mzZw+ffvop69evt/kg\nLSwsOodO+K5eeeUVxowZQ2FhIdFo9KBFmVuF1YNRX1/P559/bixVVVXk5ORw7LHHMmXKFBYuXMiJ\nJ55Iv379gjs2MSt1229Uq/dhqudnV1fD2lO1T32UafIR+PUrt2X/dfERgm3E+6/6IoIAaUXQkEEg\nEi99DHyK4DSZwFCgEMLDYVAeDBoCDIHBvWOTi9kBbINdu4QYku3IaDwpdjPEqE7rPtjX7iaxlVnf\nwfVJyQhBeSnkOl6SuMifHVJ+ehZuRGFf4lmWZFZqSLtEyCnhekitVE5qCjkHbxYiGdZmXJalh1jr\n/7nX/+s1wVf24cew9Hp6f14MS2d/fqzLi2V5sS7oyHxMfjMVOrM11TWdM5FoTBWd8GE9+eSTXHjh\nhYCIKn/wwQdZvHgxkydP5oEHHtjvpY6swkoSWltb2b17N/X19ezatYv6+vrAotcLhUKMHj2aUaNG\nMWrUKCZMmMA555zDqFGjOOKII+jdO/F1a3yR6MPmdaN79an3LWFSVvrLQP9uKtJRrS6RoZqjNsdn\nhJD5+wYgVNA+nETl7bhBF1QhFNZqYBviFS4TDRY6ZaQow4ogNFScpBr4Aho3CpH6Ot01IayH6ntF\n2N7EZ2uLG1ghlZQMN3emgNGGm6VdmgW3IxTXbqdPGVIvAy5kkIkM4JBzstKdfWlKvxJqyHufeufl\nESF+AUkVpv8M4ubAySKVcTjiONZNAxEVqlLxGkD5hbSr/ehmZtM8LNlOnSOYqdXxuyf132NSZrrc\n6ncJ01wy6NjeBK8Bnte5dCwv9TnooqWlheeff567774bgB/+8IfcfvvtAJSWlnLdddfF1sjqLKzC\n6gJEo1G+/PJL1q9fz0cffcT69evZsGED27dvjymbffv20a9fP7Kzs+NK//79Y9u5ubmMGTOmQx1Z\n+vbta9cms7CwODQ4q9Td/utCz2ovvvgikydPJjc3FyC2+C/AlVdeyamnnrrfIliFdZCwa9cubr31\nVtasWcNHH31Eeno6RUVFjB8/nuOOO465c+eSl5fX/ZWNF/PxM8GYTDE6Uuk4qtPbB7GsoLZe7E+u\n++RMFCZCbKVFaRKU5nlJpI5CMI1sECSqD9C7HqgA1tOXTxjl1G9kB9vYSC0ZCHY1Dhgveh46FUYP\nhM+A/m529RwEF2tEMCGZHAN5vjCxFRtDOHn9cE2JfZ0iw3xTcIMvduOaBSXDkpetCWHubFOKDK1X\ni5y03K6IItmdJICZ9RDWw6N1qCZDlWEp7CqCy7B6AWEvFmBiMLoJD+LZnB7SjlJHfqpBPl7mQOjI\nRJoM+4LYVRDzkjBlaFeP6c+TKp8eTCJ/l35Or7am6wUJmwSfeOKJmDkQYNu2beTl5QHwzDPPUFRU\nlFhHBvRIhVVaWkpJSQklJSXJFiWG1NRUBgwYwK5duwCYMWMG5513HmeeeSbhcPeePVBWVkZZWRkA\npb8opeTkEkq+UZJUmSwsLA49yirKKPuyzHwwgaCLPXv28Morr/C///u/sX033ngja9asoaWlhSOO\nOILf//73+y1fKNrDkgSGQqFun9fws88+4/nnn2fp0qU0NDRw4403ctFFF9GnT59ki+aLUChEtMW5\ntl4jWJ1hedneTSHIap+m8GG1Dxl+nq19mnIKKlnX2YxgT5txQ6WzEZRmHMLV1AS8BE1viNWBKxHe\nqBbExN7xQPG3gA/gZ5vhzjzgHuCSDcD9wP9yCm1MRPi7WhE+oy+AjUA5fYHjgJOB02HPVPj/geeB\nZ2F2C1wEHI/wX70DvC5OxwagVYbC74WsFjgCGI1gfSMQHG6wI2sYEc9RgfgtnzrbXzi/qR5od8ZL\n4XbByrKdtoOcbTmRWU3VJD/lJe+j1M3GnVSdkar8N35OfJ3B1EN7vXtLSCYnmWTYiVthuPMp/WRN\nbvtYVIkaXaL7quS9pMppup/8/E/q71Dbq/emX4CDbo1oMhzT0zD5nUtnrKZ28veoz4YeiaP79JTr\nFbo9/j0bCoXg58p79/bkvId7JMPq7hgzZgw33HAD119/Pf/3f//Hr371K6699lrS0tLIzc1NuPTp\n06d7mg0tLCy+eujOyW8tDhyhUIhTTjmFU045hWg0yu7du6mtre1QtmzZwtq1a6mtrWXbtm2x/QC5\nubnk5eVxwgkncNpppzFt2jT69+/ftYJ7+a+8bPIQbzM3sSwVejiwel6TDKYRb6qhjd5OH0mW4/pO\n3nXTGMlIwXbc9EV8C3hD+IIYiMjUThVQzjjaOAE4ATH4T0H0tQnBkN6jkXd4A8FLCqHPkZA/WIyO\n0yClRXQ35CQY+IZgReqguVXO1G11fVbSb5WNYHWDcIIWcec1q36sJue3tcu8S0B7BHbvdUPcZfi6\nDGdvxk2AK91ocl8qzirFuOuFtTl9hk0+GC//i8OQWiPuXyMjEaPOOSXbimMZOoNTI0fl+UysSG6b\nVgCQdXXGjlJXv99036qEKp9JDrR9QX4sU3i6ygKDni09gtF0TnW/6Rro6AapmazCOkQIhUKxgIsx\nY8YY67S1tdHU1ERTUxN79uxh27ZtVFRUUF5ezssvv8yjjz4KwAknnMD06dO57bbbut4/FuQsVuE1\nB0Q3t0D8i8DkQA5SWPo59DaquRFc0xHAZtgZEaY0qbT2KV3sA/gFrK8XCojhCLscm4BPKEIY/L4J\nDIsAzRDtK0xxwxEBFG208x7/Bo4GvoDBg4Xiy4SWRkfsKyC9HvqudX9KCsRSWPRqd7OrZyHMcFJh\n5QHpJwmBB7zrzumSy5c0Aa29cG17MkliG+xriZ/bJXMFonzKBSHbPP6CNqVu3H9h+q+Uz/ZIfJ/y\nHODmMYzrU5rBcpzv9coxv/9f7cNkclPbmAZOXvepqvj0diZZ1D5M5/ZSIqZnyWupEb2NLqcqg9/g\nT6+rwzKsnot9+/ZRXl7Onj17YgpGlv393tzcTGZmJpmZmfTp0ydWMjMz6du3L7NmzYp9b2trs+ZC\nCwuLQwfLsHou7rnnHv7nf/6HESNGGBWM3M7Pz/c9rn7PyMhIvhLyGoklwnbUbTUPWoSOo2+/henU\n/kzy6OzNa4TssKpWxGd4sxjNNyKWrtqOCHrY7exzqlEF7N4sgiHeAhGsMRbgE3pTyQTgWGBYDSLK\nohFCmTByBOSMEufbDXzGZnbyGVAJg78m7HgDYPs2ERDBL6F1gztwleHrRMSX3rjBEGrQQ38gfRxw\ngfiN2e8KEiWX4YpdVpkgUL0+vaCtxWVH0vynZmlX18ZqV0qr9l22j5ns9P8AYkxctpHsSn5KhidN\nkDHWpgcdDFH2y/vHlG3CJIPaTmczuvm6M6zIFCjhJ4Mf/FiPypj8ss7LfX4BIF7Pr1d/KizD6rnI\ny8sjKyuLyZMnc+SRR3LkkUdy1FFHMWrUKNLS0pItnoWFhcXBhWVYPReXXnopo0aNYuPGjXz66af8\n4x//YOPGjVRVVTF06NA4JVZcXMwxxxyz3/mzDjn8WFYiARd6MfUHwSNkXR4dkqWZwqYddiV9NXKC\nbAvCZ7UNEXshM5vvRoz0m3HXknod2HsMwmGVsh5YxwSgCDi6BZGdaYPTIAPYAv2a4bijYQvwIfA2\nnwNVMKgF8tMgDzZ9AuuBvA1C5K3O+eS6VeGoKJJg9MPNbSgLo4GTEDH52SK/H85vkOwlFieeghLJ\nED8JOB3XT5aJuzZWCvFMS0JlVjF2JamfvP5y/auI28aLXbUp/aFuy/9U+q+GON834/oj1UgVvzBv\nLx+Nev9FDMdN8HomvM6ly+Ill5ffD+LZlZdVQ5fflLLKj10lAsuwei569+7N6aefzumnnx63PxKJ\nsGnTJjZu3MjGjRv5+OOPWbZsGWvXriU7O5tjjjmGY489lmOOOYZjjjmG0aNHk5KS4nEWCwsLi24C\ny7AOP6SmpnLUUUdx1FFHxe1vb29n06ZNfPjhh3z44YcsXbqUm2++mVAoxKOPPsp//ud/JkliD+gj\nNi+W5RXOrk/INPWj+yG8opZUqBFTfqG7TeKjGTe5bQtustk6hB9LXZKpGcFQIsDnwNoBwFRgCsC/\ngA9jDAtBuEQe3J0Ih9NuoBcMHwZHZolJvm9TiVg7azMMOQIKoSID3tkr2EUfRF7cHbjvAxlGrqZg\nkkWGrxMB3gUqobU+nkXGfEz6OMipICcG98WNPJSTgaXLSzKekPJdLVJGcpRi+i+c/1VGIqq+MDU6\nEW0biP+vc3DvF3XyrHoPqdvy3Go/ifqYTL4dkx/WixHJNuqn3pf+zJjOrT5vuu9Ktyqobbwm+yfC\nrvxYomVYXx2Ew2FGjx7N6NGjOe+882hoaKC8vJwHH3yQ0047jVtuuYVf/vKXyRaz40MYZFJQXwwQ\n/zDpOc9Mis/LpJOo0lLPr/brvMTlnKQm3MURdyKU1RaEaVAqrt2iGbXA7qHAN4BpwFFbgXcZwlaK\nEYHqbHTKZ06HmYg3cH/gCygshgIgk900sRmogcIjhBY7Ev5vjZBloCPXZty8f73omGVCKqtUnBd7\nOfBXoFIou0bcRR7jQs6lVogQm0SlZrsY4MgwEFdhqcEW4JoPpYlQXv50cLNRSIVVp/0XES2YQoG+\nL26Chn5f6POxMrWim6e9FJauSPwUhi6PXk8ftHnV9TP/+SktPzOevAYQP2dMN7l75UU0yRcUdNES\ncPwQwCqsLkJ7ezu1tbVUVFTw2WefUV5eHvfZ0NDAqFGjGDNmDPPnz+cb3/hGskW2sLCw8EYCJsER\nI0aQlZVFSkoKqamprFq1ih07djB79my2bt3KkCFDWLZs2X4nP7AKaz/Q0NDAl19+SU1NDTU1NbFt\ndd+WLVvIzs5mxIgRMWZ16qmncsUVVzBmzBgGDx7cvZPiJsKsJEwMSx0Nm0aMJjOO18jUa6Qs13nX\nZW4SE1SlOVBmfWjATa0mmdVmRNDDZmdfUxYwDJgInAKcCvB/wDsci8gzGNoIMpaCGtwAgD5Op7WQ\ni2spq6RWnGUoYgLyWNhWB298CfkIZtGEYEkR53s68SxLzv+V2Szay4FyN0RfBorILBRR6Miu9ooJ\nyP0RjCoHIWe+8z1LudQyg7sMipCMSjKtmDlwCCIARC7u5ZFTsFe9EEcGhcgAE4iLB3GDOSD+XtlM\nx0m76r0m9+l5KdW66j51248d6fBiZl51TeZxLyuDDr/nT/39pmczQny+RVOwlN6PKqsJCZgEQ6EQ\nZWVlcQFmCxYs4Fvf+hbXX389v/nNb1iwYAH3339/cGcGWIXloL29nbq6OrZu3cqWLVs6fKpKqbW1\nlWHDhsXK0KFDGTVqFCeddFJs35AhQ0hPT0/2z7KwsLA4OEgw6EJPivvCCy+watUqAC6++GK+/vWv\nW4XlhebmZj777DOjEtq6dWtsu66ujuzsbAYPHkx+fj75+fmx7aKiojjllJ2dnfwJvl0JfaSmbpv8\nV362cXWCsBwB66M6Lx+W1zEJU8Z3Z1ueshmXvciVeLeD5DxsRgQ91IQQKdCPAI4EvgaUAP0/AP5J\nCqs5FjGHmAqnYS3CgbQHQRn2OKXJDZjoB+6Z+zbA8H4i3XotNKZA41agJd7Pk4lgMb2dkuF8puEy\nLJn/sB7BDKUfay/u2lKx+PF2UTm1xc3SnoOTzxBBKAciCKvsXw1WacPNoi7X5IpjWMOd0oTwramO\nfwUp9W6GKOkjk4wqRGz5LwGVJdThUk2dQekTlk33iRfDUs9l2vZq35l7Vs8Ir54jgreFIciPLM+n\nsk6VtakMS2dZJnl1/6AJtaUeB1yEQiFOO+00Wltb+f73v88111xDbW0tgwYNAsRijtu2bQvsxwuH\nrcJas2YNixcv5s9//jO5ubkMHjw4poAGDx7MuHHj4pRSXl4eqamJ8PzDHLrJLxHTYCJmlFStrtdL\nQG9jOqY+lKrCUh5MqaxkZOAe3KCKHbhmwc04yqoQ8dIdhwgD/DpwdB3wJvAuxyGCLUZEEdEaO51O\npUKQMCy6KCTYLRrl9xMaogB3NccGaJcTxppFf9LsJiP6MpwizYIR3ACSncTnRGyTYrQSy+ob3isC\nLFQzoFzBYyhCefVz+pbXrAGhAKWvXSqq2N+hZqEoxl3SpR43M6+CMJBaH3+52rTjcUZy+b/W0THI\nIELHl6uuEEz3mg7T/a5D78c0/8tPWelKS8pvUmb6ANDv+TMNKPXnIUhZecloQlqp8sW84vA777xD\nXl4etbW1nHnmmYwbN86js/3DYaew1q1bx+WXX05lZSXf+973eO+99xg5cmSyxbKwsLDo2UjAhyVX\nFs7NzWXWrFm899575ObmUldXR05ODrW1tbE6+4PDTmH179+fMWPG8Mknn/D5559TWVnJiBEjDm8T\n3sGG1+jNZCpMNdTxcyrrI1gTi/Izuaj9gmsyUhfzc0LaWxEMQQZe7MENvNiOu64d+QjWI1e3PxaY\n3AasAt4DPhDsClwWsVeRKYSbjiIL6Oua7GLmOSKiUV9cu9wuBH0JOcJJe157fCYKGXzRxzlFKvFZ\n2RsQbKsJ14QXlqd05l7J8HUZCJKHy7KGOdvhcc6JKmFvXYz8sRcRLCEZYy+0bBT6aD3buUYy+4XC\nSsKIDPUSqilUmgZjl0vPaKEH8eiMx5QJQjcFqu29TN8mqO1VJmJiW7q86nVRZWgy9OEF03NVr2zr\n+70YlunaJcqwAnxYTU3ioczMzGTPnj2sXLmSG2+8kbPPPpslS5Zw/fXXs2TJEs4++2z/jnxw2Cms\ngoICli5dyvbt2/nTn/7EVVddxfjx41m+fLnNKGFhYWGxn+jljr6UgZiLrVu3MnPmTEKhEE1NTcyZ\nM4dzzjmHk046idmzZ/PYY48xePBgli9fvv8y7HfLbo5BgwZx/fXXc/XVV3PmmWfy4x//mF//+tfJ\nFqv7w8t+jrat19Hrq4EWet+mfiB+FGsaqUqoTmbJsJSUFWrAhfyUwReSkUhfVqQvgnIMIzapV8wM\nXgusAdYxktbYsvSxlBi9EJRHrlM/EOEMGiIq1iJ8Sw2Am6Ev5CbyS8ONpEhDMC3H5BJWLoGsJgfo\nGcPFl4wNol4El0FK/5UMbAi3iyLFVIMt8pTtXCB8OiI3YSrwAWS8C9FKIY/0mckMFzKzeuz6b8ZZ\nOAz3P9fZlcwvqLAsKX+H/ISyH9m/9FPpS9HrrCoR9q7331mW5cWm/PxYKpPxsiIkIqvqm5J9qb5c\nlVHpARcmq4jKrOS19Qq40A7tNhwfOXIkH374YYf9AwcO5OWXX/buuBPoxhOBDg7S09N55JFHePLJ\nJ5MtioWFhUWPharfkoXDlmGp2LVrF3v27OGaa65hxIgRcWXQoEHWv6XDNNr08melavtMvivdz6We\nBzqOKk3sSveB6aNKpUjXjWm13H1O2eNUJwvh4MnFndib34DIufQZ8DmFzuG+IGwh6YgRaT6CvqQ6\nFY4ExgCj4AtEuPxWQHCZAUA/IfNeOqaRlwn22kR3MkpQfvbGCZE/VZw7tR5SNru5D9Vl6yVDwxG1\nH64PaxBuKqYBzs/vNQ6Rkf503LdRHWRWugxIGtPVdbLCMoKvEpdZ6RF8up/EESycCql1oi99TazY\n/6v+xyZGA/H3jcl/pRc/awCGTxVBrCiRYupP71uFl+9K//2m6EBThKDJiiFzMwb4sJKpqCS+Egpr\n0qRJLFmyhE2bNlFRUcFbb71FRUUFFRUVtLS0dFBisowcOTI2f+ArA5NC6YxpUF0GIaioMD24urlF\nP1nDVAYAACAASURBVI9BWckFG2VRsyuoS74348RNZOK+0XMQSojNwJfAZlKppz/Kw5qBa/4LIzRF\nJsJeOB44BjakiZy4G4Em8hEx88MgOsRd12Q7wiYpU1Q4iqxXe3xGCXVBxV7ZCLPdcOBdsSClzEgh\nlVU7bsLaVEdcqZOl0nJUJ/3k75IvLHl95UssB9LqZGh+vOJqw1nSZDOuopJmQAn1uyELRjgi+gg5\n/xGO7HHKxeue8XrBm47rJuWge9KktBIx5eGzLe9Z9dOkROSn/hyalFVE29ZNgqoSU6EHWqhKy+t6\nYhXWIUNqaiozZswwHquvr+eLL76IKTCp0F577TX27NlDTU0Nubm5h1hiCwsLi+6FjGQLwFdEYfkh\nOzubiRMnMnHixNi+2267jVWrVvHss89+NZWV38jTxKz00bDJHAgdR5d+o2a/0bEqi2b+aI+45kB1\n+Qppbooz/krbmYwbl2nM2YWkPr0RD0kEQYTIRZgNUxBsrB1BYYYCRVCdJwPhRdiGiOAYC4yGTYgs\nGZsgtupInZA73BpvPZPh4+D+HlRGUx9/CaVFMYyb7T0Fd/Ass7Ori0H2Vs7BZsRyJanOtvO/qgyv\nw0KOqjwQz6JMDg85AVgVPFXkGSSi5BT0GeV3uC+8hv1+9RJh/iaToNqvum26102mPRnOb8gCYuxT\nrdNEx+dA3Se/6+zKxOTU86g3SADDsgqrG2Lfvn3893//Nxs2bGDUqFHJFsfCwsKiW8CaBLsh5ErC\nDz/8MDfeeCP5+fnJFik5MDEpdVv/Lkd7KrtS85yp7UwjTIgfXRoc9UY2p44sm+LXcQI3FLuX1n0K\nuKsIyjxKsVGyy1lk3r6dCK9W/2zILUKwqyan4/7QPlSs6fgh8AbwFrCT0cAkoBj2jYaPEOHfn4jP\nXk5WdzVFcgpiJJvmiNWO8Lc1INxfeYuBbGjaIAbScr6x9GHJPqQfTOYzVIu6tlYIREcycEJ+d5if\nvIaxQAvc5e7bmyAsWZO8bHK0Lv9DufCi6m/RR/7OvhiDSyRUPChkTa/r5xfrLMNS+9cZlwkmX7Dp\nGngFXUjoz5I+kdort6Yqm3q9VPYp/zf9nFr1ZOOwD2vfH9x9993U1NQwduxYSkpKePDBB9myZUuy\nxbKwsLBIGmxYezdFUVERS5cuZd++ffz973/n6aef5mc/+xnjxo3jiCOOIC8vL1Zyc3PjvmdlZfXs\nMHmTz8rLh6UyHujIsuoN7U22dfC2r6tPSJP2aRgdy2gzdRl3mUBWuqnkCr4ZwF4ZDy7DCtuAXq5j\nq4le1NJKFSLCrg0o6A/9+ouHpxlBRqoRkYFrEeyqnHzEksUnAMfBv4F1iLnIH8KInSITVJbykyRT\nkuthgQhCbMCNHm+qFL9pFyJkXubgVdNAycuX7vxOybLkdibuVObYBOA65ToqDEv2qa5CLEPRIzhp\nllQWI/8rdeQuVyOW94rOAlCOeTEj/X5QQ7FVqEzONGnXj+UkwrCkrF7RgHrbRNmVqX9dFpU1maZ7\nRLQ6Jj+Zeo1N11SXX0F3YFhWYfmgd+/efPvb3+bb3/42zc3NvP3222zevJna2lq2bdvGv/71L7Zt\n2xZXmpubPZWZaX9GRndwZSYAL5Og3JZmH90EoZoLEzWJ6M5y3aRjelCVflRl1RtXH0UQCkaGePcH\n9jYSWxIklnAwvZ9zNBcoYBMVyPVR6xAraGQgXt5NCMVRg7D2rQd2MAo4ERGDfiJ8kRNTVKyFsTvF\nkZGOfHI6k4xyl4k0ogglthOhfNqdenLBx21OqcfNcgGuCVQq6T64ylpeTrkgZFgNZ5dKS04PiLiB\nK6qZVZoE2xB1eqlKS31RypfgEOUc2cp+k8KS26Z5ePpLVg0UMCkAvb1+j2bS8V5WP/Vt2af89DIH\nqvdkImZItW8vs6IaYJGqfVfP6zcYTEQJyzyQBgQprKqqKi666CJ27txJS0sLl19+OTfffDOlpaUs\nXrw4FsB21113ceaZZwb0ZoZVWAkiPT2dkpKSwHp79+6ltrY2ptTUsn79+g770tLSYgtAjh49mjFj\nxsRWKB45cmTPUWgWFhaHNYIUVlpaGg899BATJkygsbGR4447jjPOOINQKMT8+fOZP3/+ActgFdZB\nRkZGBsOHD2f48OGBdaPRKA0NDVRXV1NeXh4rL730EuXl5XzxxRfk5OR0UGSyDBgw4OD/gESdz/ox\ndeSq92UaferbJvOKalYysSsVzj4Zgi3ZlYSc8CpZ0U5EHr3NMoJ9l7NzOzAwF0ELCoHR7KCJ1Wxj\nF4JzqetG7UawnGpgBwNw071PAqbA9tHCHLgW+BjytghDYQki2D3VaS8j3bfiWlKddRfZgWAzjc5v\nCuMu3ijXw1LJigwwkQzLxK7kJzna9VVMdnKytWRX0twqGVercx166Sa+IFOXHjShm5YhnlmbtlWW\nJRmHF7PQGYZ+/+jHdfm9+jRt+7U1fdf7VfvTmaNuvdBhYm2yfpC2Uf97DwR1IRe+Bejbty8TJ06k\npqYG6LgK8f7CKqwkIhQKkZWVxfjx4xk/fnyH421tbVRVVcUps5///Od89NFHACxdupS5c+cearEt\nLCy+guiMD6uiooL33nuPxx9/nPfee48HH3yQxYsXM3nyZB544AEGDhy4XzJYhdWNkZKSwogRI2hp\naeGtt95ixYoV7N69m/nz5zNnzhyOP/74rhXAZNs3bYO3TV1nWGp/ftB9VHqfplFvpshRl+4c0+cF\ny1DvNkQgww6gogXq5eJYtYjVhAtzoPcIBO3aA6Swg03soIYUmuiNYBtiMJqFyMs0FBgFjEbkaJoA\nu8fAvxDs6lOgXCxmXAQcD4xz1p/a9kF8IEOrc9ZW5xxtuIxKPrByMNyIux6Ws1hxh2ATWXRyEpbL\n28vVgSW1c06gMivVhyX3xfxbESevoO70l5NYNyv9634rNaBG3W/yX3oFYaQqfZiQCKuR300WAS9G\nrxdZ32Rp8ILJJ6azN5PVw4u5efncvPxneg5CH1lfpdTnh7hobGzkggsu4P7776dfv3788Ic/5Pbb\nbwegtLSU6667jiVLliTUlw6rsLox6urquOGGG3j55Ze54IILeOSRR5gyZQrhsJ2NYGFhcWjx/ykK\n628sNNaJRCKcf/75zJ07l5kzZwKQk5MTO37llVdy6qmn7rcMVmF1Q0SjUZYuXcpNN93ERRddRHl5\nOX369Dm0QvjZ3v2iqFRfgh75ZYJuu1f7lUVPaWMaTSr+rvQ6l11l4kary2SvUQQj2YVYBqteZVc1\nCOfW2NG4nCUbwaB20EYTe2hzepfRhHkIn9dwRN6mI+HLPiJkcB2CXVVCVqOoJVf95RJgHORdBAOb\nROTiDgRj2uecXa51JVMjyaGKvAx7cZfSalfqSIaVjohoNDEtxjlFRuypUYKpIjmtDnXysJx33Y5T\nVx+t1yn/G8T7ueR/pkfwoe3Tw7dVqPeZyY+k308mBPmzTL4pL1Yk6/n1YXomTOxK9WGpbUz3fxC7\nwlBPZ8P1yjGPZzXIJBiNRrn88ssZP348N9xwQ2z/tm3byMvLA+CZZ56hqKgooCdvWIXVzVBRUcFV\nV13Fli1beP755znhhBMOrQAmE5xfXb2d+qDpGQ68lJOf2ULNTu03h0tzwqc2Oc2Ul+GAOujrmLp2\nI96nQ4CKRmjaijBdVeEk3cuCoUWIV/5ghEbb7Zw4BfHql3nQ8xFKaxh8GRIRGJWI+PdPEfkDt4p5\nXOlOD3VAzu3AaGhscpcFUfMdRhAKK0J8aHkUVwnLwAiZsCOVjgtApuEqr3TnO0PEuSl2tusQcflS\ncelBEAaoSquDslLDzeuVbVN+O1VZoe3XTYEQf394ZU2R9fSXvpeC0hH0+xMxc+t9qDLo27riVrd1\npQXx18BrAKfL52USrNfq7afCevPNN1myZAkTJ05k0qRJACxatIg///nPrFmzhpaWFo444gh+//vf\nB/TkDauwugna2tp44IEHuPPOO7npppu48cYbSU31eposLCwsDi16Bxw/6aSTaG/XvZ1w1llnHTQZ\nrMLqJli8eDHz589n2rRpFBYWsm3bNoYNG5ZssbzhZYaQ+0wjSOg4ulShO5j1QA6v8Gl1dAodc6QN\ncbbrIPsNyK2MXyJ+MPB5LYJhVSJiwNOA5n4wfBKkDEcMQ/c6J0gntvD83gx3jattCCK21dmWjK0G\n2ClEkJkxPgWaIpC5wZ0EvBt3XUfV5CdZllzvSk7cBZd1yVB2iA/tl4Emqcq+XuBmoBiNWLxxA64Z\nz5mQm9LkMr4wLgtUEWN+qknQtGaTzo4k9OAC9bseVCGh3xuJjOtMLMuL8YMv0zD2bdrW+zX9PvVY\npvKJtq1OvlfbmMyCXsxObaP+X/r/40GlukOmC+u97yb43ve+x5o1a5g5cybPPPMMEydO5KijjuL7\n3/8+TzzxBJs3bw7uxMLCwqKLYHMJWsQQDocpLi6muLiYa6+9lvb2dtatW0dZWRnLly/nmmuuYeTI\nkSxdupSxY8ceGqECfBjGerrT2cuJ7MWuZDvTyE8dFfqxK7k/BxEHMc75dDKSZ1eKcAm5RlQu8Pl2\nBM2pQdg+QojY8jqg/yDIHCQoSiuC9uxGzNjdgZhsLMsu3OW0drjHBzgi7UMQsFSneobTpQyzb3B+\n3j6ntOAGYOgsC9w0VOAGZqiJ5/VVi2NQr6UMjtCZMK5fTQZXSF+ZiliOQdUn4nUPyH0SXveFKQBB\ntlXvBV1utV/1/F7w8qXqsnr5tLz2efm09G39/lWfAXWf6TqYrqd+zCSX+nyZpqN4wDIsC0+Ew2Em\nTpzIddddx1/+8hdqa2u58sormTp1Kn/961+TLZ6FhcVXDJZhWSSMcDjMFVdcQXt7O+eeey5//OMf\n+e53v5tsseKh2s/1UZ4Xs4L40avJTq9ue0VE6U+R9NHIaLhxxKLf1FV55SLDg6KwvRY31U8UwRS2\nItxVqbiLUzU6x7bjMqydyEWK3dTreyHcLLqUEYIy1VK785nmnKoZQejUNa6alU+dYYHLfMLKd5VR\nSYYlmVXUaR8B4V8rd36vXGF4Mx0z7BPvv1JD5/UViMOqT0SNPFMj/TB8mvbpjEKFyq6C6vr5S72+\ne7EYL5aly2aSQYdMFGzKNh/Up2xnmqAc5NczRQkm6AvsDgzLKqxujmg0yurVq3nqqad46qmniEaj\n3HLLLQkl4t0vJGoGDDKRBD3cujJLpI2XstLNKur+CG6I+VpgQ8elOPoiFMr2HYi5WGGELW4HInJd\nrqaomrx2IhSgVFq7hdlPxmv0cprIYAgZWg5Cp7UjzH9SmURw51xJnSeDLaSikspKzcom157UF6hU\nzYFSschMGnuBvU2QsdY5kcymLs2DMiOFdh5VMYaU7TiYXobqy9lPSZn2eZnC9HN4mZ5NSudA0BnT\noFpf/42q0tGDL0zbutwm87keiGRqB+b/yKuuAquwLDzR0tJCaWkpy5Yto7Kykjlz5vDEE09w/PHH\n9+z1tiwsLHokUvsrX3YlRwarsLop2traiEQiHHvsseTk5PDqq6+ybNky8vLyKCgo6FAKCwspKChg\nyJAhpKWlHdjJvcwafiNYP8evaWR7IKNd04jaNAKXTKESwRzWQvsHIl5C5uiTU4DjzIIg6I2MipC2\nsH24KTK2i8ULhyFyYAxy+khzqssBrDTlxTJC4GaMl+ykXam/Dzd7hZwQLBHWtvWcgWmOuJLNSZYF\nrjlQmhkbgHClyAoSt4y9wyDbmzqaH9uV/uT5ddNg7D/Qw6hNJjj9vwtiX2r/iZjn1PZeJuqDAa/n\nRWc76n51srTe3nQd1O9qsIRprTm9rZ9p1SuIxQR1AQqrsKChoYHvfe97ZGRkcMopp3DppZcmW6Sk\nISMjg1/96ldx+yKRCFu2bKG6upqqqiqqq6uprq5m1apVse0tW7YwaNAgT4U2bty4WJoUCwsLi4Sh\nKqw1yRGhWymsp556iksvvZQzzzyTWbNmHZDCKisrC/TzJFLnYNc7kL5SU1MpLCyksLCQKVOmUFZW\n1mFRtNbWVrZu3RpTZM888wy//e1vY8elaTEheI3M5DF9pNuZEWuQEzxgf9mmMkoKSjqyPnBHipJh\nORnD28tj7qaYfwgEG+mH8GPtbYKmzYjIB7mOPE5lJzX6oFbh9jkCwbAKECSlH+KBklnWG5xTf0wZ\nOZTEMScZ/KCmWFIZmcqu1LB1GVauMiw9V2AG8QxLGpAlw1LdFr2bIL3S/V5GGSdTEpNJQmd3Ie2z\nF8T/FzpLUEf7plWE/RiV6VgEytaVUTKpxNDApw+nrZGRHyzGZTonULaqjJITS+J3Sj+W7oM19eVn\n5dAZlh6A4fXfYGjvxVwLfeQ7ROjysPbLLruM/Px8iouL4/avXLmS4uJixo8fz9133w3Al19+Gcvu\n0KvXgenSsrKyg1LnYNfrqr727t3LG2+8wf3338/111/PBRdcwMKFC+nbty+nnnoqL730Ejt37kxc\nWXVzlG0sS7YICaOasmSLkDBe70Gylq0rS7YInULZm2XJFuHAMFwpHjC91w8mupxhzZs3j2uvvTYu\nBLu5uZmrr76aN954g/z8fKZMmcLpp5/OsGHDqKyspLi4mNbWVp9eLSSampqYNm0aa9eupaioiK99\n7WvMnDmTu+66i9GjRxMKhSgtLeW0005LvFPdP9CZ0TCYo6ISHX3LoodBq6NJ6QDyGi2qKYIcdhWp\nF8xKRp7LSEHZjYwUbAPqW2B3nXMJHOdNBmKSsYyUHwaMRLCrEYgUT/2d6nJFY5kE/j1E+qc9yrnl\nZGCZZkmfDNyL+IS2psnCagRiBu4cmT64bCsV9yGXvjLJssBldjIUvhXBAtuVNiFHFtV/pfqwUlBO\nrv/P+npW+urBXqN+L5j+787WS/S+PVDofaUQn9BW3qv6pGG9D1NRmVkQQ/JjVyZ4XdOARdS93usy\nEe7BQJcrrKlTp1JRURG3791336WoqCjGpmbPns2KFSu4/vrr+f73v89f//pXZsyY0dWiHRZIT0/n\n448/ZsOGDRQWdjFnD3KSezmZ9bZeL7Mgc5Eetqtng5fHpaKqE6W5yTXRyZDxZsTLOoR4sfdVus5E\nKJ82gHY3c+AAhFKTgRYjnDISyBkCnOTI8i40lotpTZm4SzzKBBCNuPOjmomf1yQVgFzARFVUaHX0\noAtpGlSVljQNSrOgOher2dmnLvoYm6dFfEYLVVnJcH352WHJen2lSH05e11xeb1Ig0K89TyriU6j\nUOt2hTnQdP+DOzpSoYa2m+ZleSkqfcqAySTo14/fNfe6jkM89jvweq8fTIVF9BBg06ZN0QkTJsS+\nL126NHrVVVfFvj/xxBPRK6+8MqG+cBc7tcUWW2yxpYuK33u3b9++Hd7NB/JeTxRJSc10IPOIotGo\nLU659957mTt3LjNmzCAajXLNNddw3333EY1Gue+++7juuuuIRqP861//4vjjj6e1tZXq6mpGjBhB\nc3Nzh/560vVdsGBB0mWwslpZD1d5g967DQ0NB/W9niiSorAKCgr4f+3daVhT19YH8D8gMggIEiYD\nMghVCIMKcp2wah0RVJxFHNGLtlarcq++Wq9DrS0OF+njdaqoiFaxdRbFmWKtWAZR1DqjkjBPQhgT\nWO8HnpwSAUWLJpH9+yLZOTlZ54BZ2fvss3Z6ejr3OD09/f0PZ31khEIhzpw5g1mzZnF/YGfOnMGU\nKVMAAAEBAYiOjgYAREdHY+LEidDQ0ACfz4dAIMAff/yhsNgZhvn4fIjPdYVMa+/evTvu3LkDkUgE\nU1NTHD58GDt27FBEKCpr4cKF2LBhA4qLi7m23NxcGBsbAwB4PB5ycnIAACKRCAMGDOC2s7S0hFAo\nbHC/q1at4n7u16/f+ysBpaJmzZqFlStXsi9YzEclNja2yTOYG/MhPtffe8KaNGkSfv31V+Tn58PK\nygpr1qzBjBkzsG3bNgwZMgQ1NTWYMmUKunXr9r5D+WicPn0apqam6Nq169/+I3tV3YSlzBSRSCsr\nKxEeHo4BAwbA39+/ya9TpaTPYn1/lDneV7+crl69+q33oa2t/d4/19WooQFLFVFdXQ0PDw9YWlri\n1KlTKCgowIQJE5CdnQ0LCwtERETA19cXUqkU6enpICK0b98eXbp0wZUrV2BiYgKg9kN67dq19bZb\ntWoVtm/fjuzsbBgZGUEikaCkpARVVVWws7PD8+fPkZ+fj+rqau4b98KFC7Fr1y4UFhYiKysL6urq\nMDU1lduXhYUFeDweLl68CFNTU/j7+yMyMrLevkxMTHDr1i25bQCgoKAABQUF0NDQgIGBAcRiMUaP\nHo3o6GiYmJggLS0NFhYWyMrKgpubG3eN6+rVq8jOzkZmZiYiIyMxdOhQ7lzGxMRg2LBhcHR0xLRp\n07BkyZIP/NtUfmlpabCzs0NoaCi++uorrv3IkSNwc3ODvb29AqNjmOajpqbW4LUshSMVtmnTJvL3\n9ydfX18iIpo3bx6FhoYSEVFoaCjNnz+fysrKKDExkdzd3cnT05OioqLI0NCQQkJC5PbV0Hb6+vq0\nYcMGIiJas2YNTZ48mYiI4uLiSEtLi5KSkmjRokXUrl07qqysJCKirKwsSk1NpcTEROrWrRvZ29vT\n+fPn5fYVGhpKY8eOpeTkZOrYsSN5eHiQVCqtt6+4uLh620yfPp3bJjQ0lMaMGUM+Pj6UmJhIpqam\ntGnTJrK0tCQjIyP6/PPPiYjknktPTycjIyOaN28ed+wVFRVkY2NDAEgikZCHhwclJye/r1+byvr9\n998JAP3nP/+RawdAkyZNUlBUDNP8lDU1qOwCjk2ddKCjo4Po6GiMGTMGNTU1cHZ2hqmpKV68eCG3\nv1e3EwgEqK6uhqOjIwBg7ty5iI+PBwBcuXIFn3zyCbKysmBgYAAzMzNuEoOZmRmcnZ0RHR0Nf39/\nuLm5QSKRyO0rICAAN2/ehJGREUpKSrgJEa/uy8vLq942cXFx8PDwwB9//IGAgADEx8dDTU0N0dHR\nmDdvHs6ePYvs7GyoqanBx8cHAODu7g6pVIrt27dj6NCh2L59O86ePcsdu+z+CaC2wojs/glGnmxm\nVGFhIdcmu8H971ZmYRjmzVQ2YckmHair/3UIDU06qKmpQVhYGFavXo3+/fvDyckJBgYGOHz4MBwd\nHREQEICCgoJ62wkEAm4IsO7+AOD+/fvIyMiAl5cXgNrkOWHCBG5fQO1EBy0tLSQkJKBPnz6N7ksi\nkcDS0pI7hob2VXeb3Nxc2NraQigUgsfjobi4GCdPnoRIJMInn3yCCxcuwNLSEmpqaggKCuLqCEok\nEjx8+BB37tzB+PHjufeXvWfdSQSvm5TRksl+f7LfCwDk5dWuL5+bm9vgaxiGaT4qmbDqTjqgN4yz\nqqurY+zYsdi2bRvi4uIQGxsLgUCAsLAw3Lt3Dx07dsT8+fPrbXflypUG9ycWi3HhwgVMnz4d+vr6\n+OKLL+Dv74+NGzdy+wJqE8R///tfhIWFwcDAoEnH1di+3lZ8fDzGjh2Lr7/+Gnv27MHFixdfuz1b\nX6tpxGIx9PX1UVb21+qGskSVnZ2tqLAYpsVQyYT1+++/4+TJk7C1tcWkSZNw+fJlTJkyBSYmJnLf\neGXLaFhaWiI/Px/Dhw9HfHw88vLy0KFDB64XkpCQUG+7GzduQFNTE/r6+nL7GzNmDDw8PGBubg6g\ntrckFArRoUMHbl8SiQRxcXFwdnbGqFGjAKDBfcnaZfcuNLSvV7cxMTHB06dPYWVlVe8YZduYmppC\nKBRCIBBg7NixSEhIaPTcvPpagN0X15iSkhKYmprWS1hWVlYoKlLQAkEM04KoZMJat24d0tPTkZaW\nhkOHDmHAgAGIjIyEt7c39u/fDwDYv38/BgwYgJKSEnh7e+PgwYM4f/48LCwscPv2bXh6egKoneHl\n4ODQ4HYaGhq4f/8+ACAyMhKtWrWCk5MT1q5di6ioKEilUqSkpODOnTvw9PTEkSNHIBAIEBgYCE9P\nT2RmZnLVJerua//+/fD29gYA6Ovrv3Zfr27Tt29fJCYmwtPTU24/3t7eiIqKQnFxMR49eoQ7d+5A\nIBAgJiYGAoGg3rmRvQ746/4JoLZnePjwYQwbNux9/xpVTkMJq7i4GJaWlnL3wzEM8358FFeKZUNa\nq1evxoQJE7B7926Ym5tj5cqV6Nu3L4gIIpEIampq2LBhAxwcHODh4YGqqipYW1sjODi4we12796N\nHTt2ICIiAtra2njw4AG0tbURGxuL7Oxs2NnZobi4GO3atYOrqyusra0RFBSEMWPGwNXVFTk5OdDT\n04O5ubncvszNzaGvr49evXohLy8Pubm56NChA8rKyuT2paWlVW+btm3bon379jA0NIS6ujrMzMxg\naWmJf//73xg6dCjMzc1RUVEBbW1teHh4wN/fHyNGjEBCQgK+/vprLF26FAKBAJcuXeLOn+z+CW9v\nb7i5ubH74hohFothZmYm1xstKyuDmZkZkpKS5LYViURQV1eHhcUbKoYyDNNkKn0fVkuVnZ2N3Nxc\nODs7QywWo1u3bvj555+xa9cudOzYEV999RU2b96MtLQ0hIWFISkpCXPmzEF8fDyysrLQp08fPHjw\nAK1bt5bbr9Lee6Ek5s+fj8rKSly9ehX37t0DAOzatQvXr1/Hvn37IBaLoaWlBQDcF4lXExnDqAJl\n/SxQySHBlk42dR4A9PT04OrqCpFIxGoJvmdisRimpqYoLy/n2srKytCmTRvo6+vLFQTNyclBamqq\nIsJkmI8WS1gq7tmzZ9zU+dfVEqw7dZ5NW383DV3DKisrg66urlzCUsZvpgzzMfgormG1VGKxGGPH\njn2rqfNvworfNk52DauhhGVgYMAlrPLycrRu3RrV1dWQSqXspmJG6TVH8dsPgf1PUlESiQRjxozB\n5MmTuanzsqnrPB6v0SnvQP0bhetSleK3ilC3h0VEUFNTQ1lZGTeJRjZTUCwWo23btiAi5OfnnrUL\nUAAAHB1JREFUw8zMTMGRM8zrNUfx2w+BDQmqICJCYGAgnJycsHDhQq69sanrsinvsin2sqnzTMPs\n7Oxw+PDheu2yRKShoYGqqioADQ8JlpSUQE9PT+7eN4Zh/j7Ww1JB165dw/79++Hq6oquXbsCAL77\n7rt60/plH7ru7u7w8/ODq6sr1NXVsWPHDmhqairyEJRWRkYG0tLSEBMTg/Hjx8s9JxaLoaenB11d\nXZSVlUFLS4tLWHp6eigtLeW209fXh6GhISvZxDDNiCUsFdSnTx/U1NQ0+NyFCxcabF+2bBmWLVv2\nPsP6KNy9exetW7fmpq3XVVpaijZt2kBHRwfl5eUwMjLiElabNm3kEpaenh43NMswTPNgQ4IMU0d6\nejr69OlTr5o/UJuw9PT0uIQF1E6w0NHRgZ6eHsRiMYC/hgR5PB7y8/Ob9L45OTmorq5uvgMB4O/v\nj6NHjzbrPhlGkVjCYpg60tPT4enpifz8fFRWVnLtRMTdc1U3YTXWw9LX1wePx2vSNayKigqYmZlh\n06ZNXJtIJMKECRNQUVHxTschEolw8OBB7Nq1651ezzDKiCUshqlDKBTCxsYG7du3l7tXrbKyEq1a\ntYKGhga0tbW5RFL3GlZDPaymJKyUlBQAwG+//ca1nTp1CocPH8bly5ff6ThSU1Nha2uLu3fvvtPr\nGUYZsYTFMHWkp6fD0tISVlZWcrcCyK5fAWhyD8vY2LhJQ4LJycno1asXHjx4wLUlJSXB0NAQiYmJ\n73Qcjx8/xsCBA5GTk8PdN0ZEeP78+Tvtj2GUAUtYLUhMTAxcXFzg5OSEkJAQRYfzwUilUrmbfV9H\nKBQ2mLDEYvFrE1bdHlbdSRd1e1iNVcC4efMmRo4ciRcvXnDbCIVC+Pj44Pbt29xrG3t9TEwMOnbs\nKFcK6vHjx+jUqRPs7Ozw8OFDAMDx48dhY2MjlwQvXLjALfLZmB9//BHjxo1r9mtsDPO2WMJqISor\nKzF37lzExMTg9u3b+OWXX3Dz5k1Fh/XeERGGDx8Oc3Nz/Pnnn/WeO3HihFwvSCQSgc/n/60eVkND\ngtXV1bCyssLWrVvrxZiSkoLevXtDV1eXm1WYkZGBoUOHcgmrb9++mDFjhtzrEhMTcf78ecyYMQP2\n9vZy+378+DHs7e3h4OCAx48fAwCOHTsGY2NjnDhxgjv+GTNm4Msvv8SjR48A1A5LDh06VG59r9DQ\nUBw/fhzHjh1r2kl/C+Xl5QgKCsKZM2eafd/Mx4clrBbixo0bEAgE4PP5aNWqFSZMmMAVx20qIkJq\nair34SYjkUhw9uxZXL9+HVKptMHX5ubm4unTp43uOyIiAl9//bVcYdl3UV1djbS0NO5xQkICHj16\nhNDQUIwcOZJLKjU1NQgMDISfnx8WL14MoDb5lJeXw9jYGFZWVnIzBWUzBAG88RpWQ0OCjx8/hkgk\nkuvNEBGqq6tx7949bkkZ2ZBdRkYG+vfvj8zMTPz222+4desWfvnlF66neOvWLQwePBjLly/HsmXL\nsGHDBrklY54+fQo7Ozu5hJWSkoLg4GCuBI+sfeHChYiMjAQAbNiwAefOnUNERAS3n/z8fOzYsYO7\nKf1VxcXFGDFiBHx9fbn4qqursX37dty4cYPb7t69e1ixYgXi4+O5tvDwcFy5cgWzZ8/mJrnk5ubi\n0KFDKCwsbPD9SktLkZSUxPU4s7Ky0K9fP7lRg7y8PERGRnK/byJCZGQkDhw4INdTzcnJqXfrQWpq\nKmJiYrjtampqsG/fviaVLiKiRv8PNKayshIbNmzA8ePH5dq3bt2KBQsWQCQSNfi6jIwMxMXFyRVd\nBmrP/fXr1xEeHo5Dhw5BIpFwzz179gxr1qzh1uZrSGO3zCgFYlqEAwcO0Jw5c7jHBw8epKCgILlt\nAFDPnj2pT58+9Omnn1JgYCCtX7+etmzZQitWrCAnJyeytrYmExMTCgkJoZqaGiopKaEhQ4aQu7s7\nubm5kZGREfn5+dGSJUsoPj6eqquraffu3cTj8cjY2JhGjBhBc+bMoe7du9PKlStJKpXS7t27yc7O\njkaNGkVeXl6UnZ1Ne/fupR49etBnn31GP/zwA504cYLmzJlDzs7O1LdvX1q4cCHt3LmTNm3aROPG\njSM7OztycnIiPp9PWlpatHnzZiIiCgwMpO+//56IiCZNmkT/93//R0REERER5OHhQY8ePaK2bduS\nRCKhR48eka2tLRERnThxgry9vblzc+XKFfr000+JiGjq1Km0Z88eIiJq3bo1VVRU0Llz52jgwIFE\nRDRjxgwKDw+noqIi0tfXJyKiqKgoGjlyJFlYWNDDhw9p3rx5ZGVlRYmJiWRnZ0dERD4+PnTs2DGq\nqKggTU1Nqq6upn79+lG3bt0oODiYvLy86Ny5c0REtGTJElq+fDkXn0QiIV1dXSopKaGamhrS1dWl\nly9f0vbt2ykwMJAqKipIW1ubcnJySFdXlyorK2n79u00depUSkxMpI4dO1JeXh4ZGBjQTz/9xB3r\nDz/8QDNmzKCXL1+SoaEhZWdnExHRvn37aOLEibRhwwZyd3enoKAgGj9+PH3++edERLRx40ZydHQk\nExMTOn/+PB05coR4PB4tXLiQeDweJScnk1QqJVtbW7p+/ToNGjSIIiIiqKKigtzc3Kh3795kZGRE\nvr6+ZG5uTj179qR79+6RUCgkR0dHMjU1penTp1NRURG5u7vTl19+SdbW1nTq1CmqqKigHj16UKdO\nnahv375UWlpKISEh1KlTJ3J2dqYFCxZQYWEhLV68mIyMjMjQ0JBWrVpFEomEIiIiyMTEhDp37kwz\nZ86kqqoqmj59OnXr1o34fD5t2bKFXr58ScuXLycbGxvq3r07BQcH088//0yrVq0iW1tb0tLSoqlT\np9K9e/coPDycOnXqRLa2trRmzRqKjIwkNzc3ateuHYWEhFBmZib179+fBg8eTB06dKB9+/YREdGm\nTZvI0dGRgoODydzcnC5dukRERLdu3aIvvviC+Hw+GRsbk6enJ/H5fLp69SoRET1//py8vLzI0dGR\npk6dSr169aJRo0aRRCKh4uJi6ty5M02cOJF4PB5t27aNNm7cSAKBgHg8Ho0fP55WrlxJgwcPJmVN\nDezG4RZCtsjlm4wePRpVVVWQSCSoqqpCVlYWysrKYGRkhJ07d6JXr14QiUTw9fVFUlISHjx4gO7d\nu+P06dNo1aoVMjMzERsbi/v37yMgIADZ2dno1KkTLl68CAcHBxw4cADl5eUYP348Vq9ejQsXLuDh\nw4eIi4tDp06dsGDBArRv3x4DBw7E119/DYlEguPHjyM6Ohr9+/fHrFmzUFhYiMTERFy/fh26urrw\n8fHBN998g8rKSm6Nr759+2L69Ok4duwYbt26BQDYuHEjXFxcMHXqVKxYsQI//fQT7O3twefzkZqa\niuLiYvD5fABo0pCgVCqFVCpF69at680S1NfXh4GBAcrLy1FVVYVbt26hS5cu6NChA4KDgxEfHw83\nNzcMGTIEPj4+AAA+n4+MjAxkZmbC3Nwc6urq6N+/P1auXInw8HDo6uriypUrGDx4MKKjo7Fz504u\nvlatWsHR0RGpqan45JNPoKmpCQMDA9jb2+PgwYP4888/YWdnBxMTEzg4OODmzZu4fPkyvL290a1b\nN2hoaCA4OBhDhw7FqFGjEBQUhMLCQpw6dQpz5syBgYEBRo8eje3bt0NNTQ0RERFYtmwZbty4gWnT\npmHevHl4+fIlXFxcYGtri++//x5//PEHRCIRhg8fDn19fZw7dw7dunVD9+7dMXHiRKxYsQKmpqbo\n0aMHFixYgP/85z/cygKnTp2CUCjEr7/+is2bN+PSpUvw8vKCpqYmFixYgPnz58PPzw+WlpaYOHEi\nwsLCMG7cOIwfPx49evSAhYUFfvvtN0ybNg1ubm6QSqW4evUq2rRpg/Hjx4PH42Hy5Mm4f/8+JBIJ\nZs6cCWtra26BVmtra/j5+cHGxgY2NjaIi4tDTk4Ohg0bhn/9618YO3YsTp8+jfz8fFy5cgWRkZGw\ntrbG4cOHYW9vj7CwMHz66adwdXXFjz/+CH19fWzduhXXr1/HunXr0LFjRyxatAjLly/HggULEBIS\ngvv376N///5ISEjA8ePHce3aNVhZWWHYsGGYPHkydHR0UFlZidmzZ+Py5ctwcHCAmpoaYmJiMHr0\naIwZMwZHjhzB4sWLERwczJUQGzFiBAIDAyEWi9G7d2/s2rULKSkp3PnfunUrNDU14e/vDyLiZq0q\nJUVnTObDiIuLo+HDh3OP169fT2vXrpXb5m3+HIqLi2nlypUUGRlJNTU1DW5TU1NDmZmZjT5fWVlJ\nW7ZsoZSUFLn26urqJsfRmOHDh9OQIUOoT58+cu2rVq0iHR0dGjNmDNc2a9Ys2rJlCx04cIAmTJhA\nRES5ublkaGjIbRMVFUXjxo0jIqKvvvqKNm3aRMXFxaSnp0dERCkpKeTi4kJEREOHDqUzZ84QEZGZ\nmRllZGSQj48PHT16lO7evUsAaM+ePZSWlkadO3ema9euERHRmjVraNmyZXTt2jXq0aMHERGVlpbS\n5cuXiYjo8uXL1KNHD3r+/DnxeDySSqVyxzZjxgzatm0bJSUlkaurKxERPXv2jPh8Pu3du5cmTZpE\nRERz586ljRs3Eo/HoxcvXnDnBQBduHCBiIh8fX1p+/btpK+vT8XFxURE9OTJEzI2NiYPDw/KyMho\n8LzHxMQQn8+nqKgorq2oqIjKy8vltps+fToB4M5TdXU1OTk5ka6uLj169KjBfaelpdHNmze5x1VV\nVZSamir397Vz506aO3cuicViIqrteZ48eZLrGdZ9bV01NTWUkpJCpaWlXFtlZSXFxsZSRUUF1yaR\nSKigoKDB+N7Fq3/rsbGxNGXKFHr48KFce2lpKd2/f79e3DIPHz6kJUuWyJ0fmZKSEho2bBiNGzdO\n7lhelZubS9988w3dunVLaXtYyhkV0+zKy8vJ2tqahEIhVVVVkYeHByUlJclto6x/pO/i999/JwB0\n+vRpufbS0lLavHkz5eXlcW27d++mSZMm0bp16yg4OJiIaj/AdHR0qKSkhIiIwsPDafr06UREtHTp\nUlq7di1lZWWRqakpERE9fvyYG9rr3bs3xcXFERGRQCCg27dvk5WVFT158oSIGk/I4eHhNG3aNPr5\n559p9OjR9Z4vLy+nNm3aUEhICAUEBNR7PiwsjObMmUNHjx4lX19f7r20tbUpKCiIGxqNjIwkCwsL\ncnJy4l5bXFxMJ0+e5B7v3LmTAMh9ySEikkqljX4BeRtSqZREIpFcW1FREaWnp//tfTN/n7J+FrBJ\nFy2EtrY2tm3bhiFDhsDNzQ2jR49Gt27dFB3We9OzZ0/U1NRg+PDhcu26urpYsGABt9AlUDt8GBsb\niwcPHqBz584AaodQHRwcuJqCrw4JVlRUcBMuAKBNmzb1Jl0AgLGxMR49eoSioiLY2NgAANTVG/5v\n1759e4hEIohEIrRv377e89ra2vDw8MCSJUvg5+dX7/kuXbogJSUFz58/h7W1Nfdetra2OHLkCNzc\n3AAAw4cPR35+PmbPns29Vl9fH76+vtxjPz8/9OnTB0uXLpV7Dw0NjSYPL7+OhoZGvWNs27at3EKj\nDPMqdg2rBRk2bBiGDRum6DA+mKZ+sNrZ2UFLSwtRUVH45z//ybX36tUL165dg6enJ4qKimBkZASg\nNmEVFxejrKwMOjo6AFCvWrtsRqGZmRnOnTsHFxeXRhOVjOwa1qsrRNc1depUFBUVcUvH1OXm5obU\n1FQIBAJ06dKFa+/evTv27duHHj16AACMjIxQWlr62oUleTwerl69+tp4GeZDYz0spsVTU1PDyJEj\nUVFRAQ8PD67dz88PO3fuhFQqRWFhIQwNDQH8Nemibg9LtuRITU0NN+kCABwcHHDo0CFuGZjX4fP5\nEIlEEAqF3OSPV82cORMpKSnQ1tau91zbtm1hamqKI0eOwNnZmWv/5ptvcPz4cS5+AGwVZEYlsYTF\nMKi9/ygzM5ObZQgAgwYNgpmZGQ4ePIjCwkKuh6WtrV0vYamrq3OJrG4Py9HREcXFxfjHP/7xxhiM\njIxQVVWFBw8evPPQ2GeffYaioiK5BTo7dOiAkSNHvtP+GEaZsITFMAA0NTVhbm4u16ampobAwEAc\nPXpULmE1dA0LqL2OVVxcjIqKCq59+PDh8PHxqXctrSFqampo3749kpOTG+1hvUlISAiSkpLk4mKY\njwVLWCpm0aJFcHJygpOTE3x8fOTKCn333XdwcnKCi4sLzp8/z7UnJSWha9euEAgEWLBggSLCVlkD\nBgxAXFwcCgoKXjskCNRex8rOzkabNm2462dGRkY4deoU2rVr16T34/F4AABbW9t3irddu3Yf9WQa\npmVjCUvF+Pr64s6dO7h37x6cnZ2xdu1aALVJ6ejRo1xZmaCgIK4ky4wZM7B7927cvXsXz58/fy81\n4T5WfD4fbdu2xdWrV7lZbbKEVV5eXq+HlZWVxQ0HvovBgwfDzc2NXWNimAawhKVi+vfvz8026927\nN1dnLDo6GhMnToSGhgb4fD4EAgFu3LiBFy9eoKamhrvoHxAQ8NY1BFu6nj17Aqi9FgQ0fA0LqO1h\n/d2EtWbNGiQnJ/+9gBnmI8W+xqmwnTt3YuLEiQBqq4wPGDCAe87S0hJCoRAaGhqwsrLi2vl8vtzC\nhK9atWoV93O/fv3Qr1+/Zo9b1Xh5eeH8+fPcFPbXXcPKzMyEgYHB33q/N01/Z5jmFhsb26TivorG\nEpYSGjRoELKysuq1r1u3jru589tvv0Xr1q0xefLkZn3vugmLqTVnzhy5m2xfdw2rORIWw3xor345\nXb16teKCeQ2WsJTQhQsXXvt8REQEoqOj5ZZPt7S0lCvWKhQKYWVl1WA7qybw9jQ0NLifZQmrtLS0\nXg8rIyODuweLYZjmxcYeVExMTAzWr1+PkydPyt086u3tjaioKEilUgiFQty5cweenp6wsrKCuro6\nt1jjgQMHGqySwDSd7BpW3XJNAOthMcz7xnpYKubLL79EVVUVBg0aBKB2QsDWrVvh7u4OPz8/uLq6\nQl1dHTt27ICmpiYAYM+ePZg5cyaqqqrw2WefYfTo0Yo8BJUnu4YlFovlEpbsGlbdskgMwzQflrBU\nzKur/da1bNkyLFu2rF67u7s718Ni/r66Q4J1ZwTKelhsSJBh3g82JMgwb6luCaZXe1gVFRVsSJBh\n3hOWsBjmLWloaKBVq1YoLCysdw0LqC1CyzBM82MJi2Hegba2NvLy8ur1sADUq0nIMEzzYAlLRW3a\ntAnq6uooKCjg2lgtwQ9HR0cHeXl5ctewLCws5P5lGKZ5sYSlgtLT03HhwgVuVVmA1RL80HR0dJCf\nny/Xw3JxcQEAdOrUSVFhMcxHjSUsFbRo0SKsX79ero3VEvywZGWa6ias9u3bo6CgAMbGxooKi2E+\naixhqZgTJ07A0tISrq6ucu2vLqsuqyUoEoneqpYg0zSym7brruILgFszi2GY5sfuw1JCjdUS/Pbb\nb/Hdd9/JXZ8iomZ9b1b8tmlkN2VraWkpOBKG+ftY8VvmnTVWS/DOnTtIS0uDm5sbgNq6gO7u7rhx\n40az1RJUleK3sbGxCk2mdWsLvomiY30bLNb3R5njVZXit2xIUIU4OzsjOzsbaWlpSEtLg6WlJZKT\nk2FmZtbiagkq+ttgdXV1k7dVdKxvg8X6/qhavMqI9bBUmGwZdgCsluAH9tNPP+Hp06eKDoNhWhSW\nsFTYqx+YrJbgh2Nvbw97e3tFh8EwLYoaNfdVe0Zl1e2xMQzTsiljamA9LIajjH+gDMMwMmzSBcMw\nDKMSWMJiGIZhVAJLWAzDMIxKYAmLAQDExMTAxcUFTk5OCAkJUXQ4r2VjYwNXV1d07doVnp6eig5H\nzsyZM2FmZsYVwgWAgoICDBo0CK6urhgyZAiKiooUGOFfGop11apVsLS0RNeuXdG1a1fExMQoMMK/\npKeno2/fvnBxcUGnTp24WprKem4bi1dZz6/KIKbFq6ioIBsbGxIKhSSRSMjDw4OSk5MVHVajbGxs\nKD8/X9FhNCguLo6Sk5PJ2dmZa5s3bx6FhoYSEVFoaCjNnz9fUeHJaSjWVatW0aZNmxQYVcOysrIo\nNTWViIhKSkrIwcGBUlJSlPbcNhavsp5fVcF6WAxu3LgBgUAAPp+PVq1aYcKECUpf0Z2UdEajl5dX\nvQK4Z86cwZQpUwAoV7X8hmIFlPPcmpmZwdnZGUDtys6urq4QiURKe24bixdQzvOrKljCYri6gzKy\nSu/KSk1NjRsG2rJli6LDeaPc3FxuyREej4ecnBwFR/R6//vf/+Do6IiAgAC5BUKVxbNnz5CQkIA+\nffqoxLmVxevl5QVA+c+vMmMJi1G5G4bj4+ORnJyMS5cuYc+ePbh48aKiQ/pofPHFF3jy5Anu3buH\njh07Yv78+YoOSY5YLMbYsWMRFhYGAwMDRYfzRmKxGOPGjUNYWBj09fWV/vwqO5awmHoV3dPT0+V6\nXMrG1NQUAGBiYoKxY8ciISFBwRG9nomJCfLy8gDU9rZk8SsjHo8HNTU1qKmpISgoSKnOrUQiwZgx\nYzB58mSMGjUKgHKfW1m8/v7+XLzKfH5VAUtYDLp37447d+5AJBJBIpHg8OHDGDZsmKLDalBZWRnK\nysoAAKWlpYiJiYFAIFBwVK/n7e2N/fv3AwD279+v1NXy6w6pHTlyRGnOLREhMDAQTk5OWLhwIdeu\nrOe2sXiV9fyqDIVO+WCUxpkzZ0ggEJCjoyOtW7dO0eE06unTp+Tq6kpubm7k4OBAK1asUHRIciZO\nnEgWFhakqalJlpaWtHv3bsrPz6eBAweSi4sLDRo0iAoLCxUdJhHVjzU8PJwCAgLI1dWVOnfuTEOG\nDCGhUKjoMImI6OrVq6SmpkZubm7UpUsX6tKlC509e1Zpz21D8Z45c0Zpz6+qYMVvGYZhGJXAhgQZ\nhmEYlcASFsMwDKMSWMJiGIZhVAJLWAzDMIxKYAmLYVqAly9fYtu2bQCAzMxMjBs3TsERMczbY7ME\nGaYFePbsGXx9fZGamqroUBjmnbVSdAAMw7x/S5cuxZMnT9C1a1c4ODjgzz//RGpqKvbu3Yvjx4+j\nsrIS9+/fx+LFi1FRUYFDhw6hpqYG58+fB4/Hw4MHDzBnzhwUFBRAW1sbu3fvZje9Mh8cGxJkmBYg\nJCQEHTt2xM2bN7Fhwwa55+7evYtjx44hISEBy5cvh5GRERITE9GvXz/s3bsXQO3aWT/++CNu3bqF\nH374AUFBQQo4CqalYz0shmkB6o78v3oVoH///tDW1oa2tjYMDQ258kYuLi5ISUlBfn4+kpOT5a57\nlZeXf5jAGaYOlrAYpoXT0tLiflZXV+ceq6uro6amBkQEExMT3Lx5U1EhMgwANiTIMC2Cjo4OVzS4\nqWQ9MR6PBxMTE5w+fZprv3v3brPHyDBvwnpYDNMCmJmZoUuXLnBycoKzszO3BppsqQuZV3+WPY6K\nisLs2bOxbNkyVFdXY/z48WzSBfPBsWntDMMwjEpgQ4IMwzCMSmAJi2EYhlEJLGExDMMwKoElLIZh\nGEYlsITFMAzDqASWsBiGYRiV8P9CjO28IMyZSwAAAABJRU5ErkJggg==\n",
"text": "<matplotlib.figure.Figure at 0x42d8510>"
}
],
"prompt_number": 22
},
{
"cell_type": "code",
"collapsed": false,
"input": "# Small helper function\ndef plot_frequency_response(b, a, title, zerophase=False): \n freq, response = signal.freqz(b=b, a=a)\n amplitude = np.abs(response)\n phase = np.unwrap(np.angle(response))\n \n # Zerophase filters square the magnitude and cancel the phase.\n if zerophase:\n amplitude **= 2\n phase = np.zeros(len(phase))\n \n fig = plt.figure(figsize=(15, 1.8))\n ax1 = fig.add_subplot(111)\n\n plt.ylabel(\"Amplitude (dB)\", color=\"blue\")\n plt.xlabel(\"Frequency Hz\")\n plt.plot(freq / (2 * np.pi) * original_sampling_rate, 20 * np.log10(amplitude),\n color=\"blue\", lw=2)\n plt.grid()\n ax2 = ax1.twinx()\n plt.ylabel(\"Angle (radians)\", color=\"green\")\n plt.plot(freq / (2 * np.pi) * original_sampling_rate, phase,\n color=\"green\", lw=2)\n\n plt.vlines(new_nyquist, plt.ylim()[0], plt.ylim()[1], color=\"red\")\n plt.text(new_nyquist * 1.01, plt.ylim()[1] * 0.98, \"New Nyquist\",\n color=\"red\", verticalalignment=\"top\")\n plt.title(title)\n plt.show()",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "markdown",
"metadata": {},
"source": "### Step 2: See what scipy has to offer"
},
{
"cell_type": "code",
"collapsed": false,
"input": "from scipy import signal\n\n# Decimate using SciPy's built in methods. Always by a factor of 4.\nscipy_fir_decimated_signal = signal.decimate(test_signal, 5, ftype=\"fir\")\nscipy_iir_decimated_signal = signal.decimate(test_signal, 5, ftype=\"iir\")\n\n# Plot them all\nplt.figure(figsize=(15, 2))\nplt.plot(np.arange(0, len(test_signal), 1), test_signal, color=\"red\", label=\"Original data\", lw=2)\nplt.plot(np.arange(0, len(test_signal), 5), scipy_fir_decimated_signal, color=\"green\", label=\"Scipy FIR default\")\nplt.plot(np.arange(0, len(test_signal), 5), scipy_iir_decimated_signal, color=\"blue\", label=\"Scipy IIR default\")\nplt.xlim(500, 1000)\nplt.grid()\nplt.legend()\nplt.show()",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAA3wAAACKCAYAAADxN0i7AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYII=\n",
"text": "<matplotlib.figure.Figure at 0x46b5e50>"
}
],
"prompt_number": 3
},
{
"cell_type": "markdown",
"metadata": {},
"source": "This is clearly not optimal as they both introduce a time shift. Lets have a look at the frequency responses."
},
{
"cell_type": "code",
"collapsed": false,
"input": "# Frequency response of the default hamming window used by scipy\nfrom scipy.signal.fir_filter_design import firwin\nfrom scipy.signal.filter_design import cheby1\n\ndecimation_factor = 5.0\n\nb = firwin(30 + 1, cutoff=1.0 / decimation_factor, window='hamming')\nplot_frequency_response(b, 1.0, \"Default FIR Filter used by SciPy's decimation routine\")\n\nb = firwin(500 + 1, cutoff=1.0 / decimation_factor, window='hamming')\nplot_frequency_response(b, 1.0, \"FIR Filter used by SciPy with more coefficients\")\n\nb, a = cheby1(8, 0.05, 0.8 / decimation_factor)\nplot_frequency_response(b, a, \"IIR Filter used by SciPy's decimation routine\")\n\n# Zerophase the IIR one.\nplot_frequency_response(b, a, \"IIR Filter used by SciPy's decimation routine as a zerophase filter\", zerophase=True)",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAA6YAAACcCAYAAABsi7a9AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzsnXlcVNX7x98Mu7KjuKEioGbumrsY7lDZ7pJ7Wqll5del\n1LK0UtPUyl+btmi5ZW6ZGuCKu+auuCCLKIiKIAgiss35/XFiYBRkWGew83697mvm3OXc59x75s79\nnOec55gJIQQKhUKhUCgUCoVCoVAYCY2xDVAoFAqFQqFQKBQKxX8bJUwVCoVCoVAoFAqFQmFUlDBV\nKBQKhUKhUCgUCoVRUcJUoVAoFAqFQqFQKBRGRQlThUKhUCgUCoVCoVAYFSVMFQqFQqFQKBQKhUJh\nVJQwVSgUCgNYsGABLi4uODg4kJiYWKK8PDw82LFjRylZVvqMGTOGzz77DIDg4GBq165tZItKTmHl\n0Gg0REZGlqNF+qxYsYLevXsb7fz3UxrX46mnnmLZsmWlZNHDMbXrVxSaNGnCnj17jG2GQqFQGB0l\nTBUKxSOPh4cHlSpVwsHBAVdXVzp16sSiRYswdBrntLQ0pk6dyp49e0hOTsbZ2blE9piZmWFmZgbA\n9OnTGTJkiEH229vbY29vj4ODA9evXycqKgqNRoNWqwVg+PDhWFtbY29vj52dHZ07d+bEiRMF5jt9\n+nQsLS11+drb2zNv3jy+//57PvzwwwJt2blzZzFL/uiTlpbGW2+9hZubG3Z2dtStW5d33nmn0OMG\nDRpEUFCQLq3RaLCzs8POzo6qVavy1ltvkZmZWWg+vr6+7N69u0RlKC3+/vvvQut2cbi/3sOD189U\nGT58ONOmTdNbFxISQpcuXYxkkUKhUJgOSpgqFIpHHjMzMzZv3kxycjI3btzgk08+YcGCBYwcOdKg\n4+Pi4sjIyKBRo0ZlbGn+5NifkpJCSkoKycnJVK9ePd/93n//fVJSUoiPj6d+/foMGzbsofm+8sor\nunxTUlKYOHFiobYYKujvRwhR7GMrCjNmzCA0NJTTp09z584dDh48SKdOnYqVV04e+/btY/369Xz7\n7beFHpO30eNRxxh1KSsrq9zPqVAoFP8VlDBVKBT/KSwsLOjevTt//vknv/76K2fPngWkp2vMmDG4\nubnh7OzMsGHDSEtL4+LFizRu3BgAJycnevToAcBbb71FrVq1sLOzo2nTpnpdc+/3ihTUjTQwMJDZ\ns2ezevVq7O3tadmyZamV08bGhr59+xIWFlbgPgUJxfy8OgBDhgzhypUr9OnTR+ddBdi5cyctW7bE\nwcGBxx57jMDAQN0xvr6+fPjhh3Tq1Al7e3suXbr0QL73dxvNe/5r167Ru3dv7O3tcXZ2plOnTjqb\no6KieOqpp3BycqJGjRrMmTNHl0dqaip9+/bF3t6eJk2acOTIkcIuGVu2bKF+/fo4ODgwduxYtFot\nGRkZuLi4EBISotsvLi6OypUrk5CQ8EAeJ06c4LnnntM1HNSsWZP+/fvrtkdERPDUU0/h6OiIq6sr\nY8aMAWDp0qX4+Pjka1fDhg3x8fHh/PnzzJs3j5dffllv+zvvvMO4ceMeOG7//v00a9aMypUr4+bm\nlu8+OcyYMQMXFxfq1KnDL7/8oretoN9GDitXrqRRo0bY29tTr1493f339fXl559/1pWvU6dOjB8/\nHhcXF7y9vTlw4ABLlizBw8MDZ2dnfvzxR12emzZtolmzZjg4OFCtWjUmT56s25bjXXRycsLBwYFD\nhw49cP127NhBkyZNsLe3p2nTpnpefl9fXz766CN8fHyws7OjS5cu3Lx5M9/rEhwcjLu7O3PnzqVW\nrVqMHDmS9PR0Xn/9dVxcXHB1dWXUqFGkp6frynn/fdRoNERERLB48WJWrlzJ3Llzsbe357nnngP0\neyFMnz6dfv36MWzYMBwdHfH29ubgwYO6vB5W5xUKhaKio4SpQqH4T9KoUSMaNGjAvn37AHj33XeJ\ni4sjIiKC2NhYkpOTmTJlCg0aNNCJ19u3b7N9+3YAnnzySUJDQ7lz5w6jR4+mb9++3Lt3DzDca+Xn\n58fUqVMZMGAAKSkpD+12a6h3KGe/1NRUVq1aRYcOHQw6Li8F2b9s2TLq1Kmj895OnDiRiIgIXnrp\nJebNm0dycjKLFi1iwIABXLt2TXfcqlWrWLZsGSkpKdStW7dI5583bx5eXl4kJSVx69YtFixYgJmZ\nGdnZ2fj7+9OlSxdu3brFkSNHWLx4MX/++ScAU6dOJSkpiWvXrrFz505WrFhR6D35+++/OXHiBGFh\nYezatYtvv/0WKysrXnnlFZYvX65Xnh49euDq6vpAHu3bt2f+/PksWrSIM2fO6HU3zczMxM/Pj5Yt\nWxIfH8/169d59dVXC7Qn516eO3eOvXv30rx5cwYPHkxgYCC3b98GpAdv9erVOs/4rl27dMLtnXfe\n4f333yc1NZXo6OgCu9Vu2LCBxYsXc/ToUcLDwx8Y71jQbyPnfGPHjuXHH38kJSWFw4cP4+npCTxY\nj/755x9at27NrVu3GDRoEP369eP06dNERESwbt063n33Xe7cuQNI0bl27VqSk5PZvXs3y5Yt4/ff\nfwdg7969gPw9Jicn0759ez17r1+/zgsvvMD06dNJSUnhk08+4YUXXuDGjRt693DFihXEx8djbm7O\n559/XuB9uHHjBnfv3iU6OprFixfzwQcfcPHiRS5dukRkZCQXL17kgw8+KPD4nGvxxhtvMGjQIF2v\nho0bN+q25WXTpk0MHTqU27dv069fP8aOHQtQaJ1XKBSKio4SpgqF4j9LlSpVuHXrFhkZGSxbtowv\nvvgCe3t7bG1tee+99/jjjz+A/EVhv379sLOzA6T31NzcnDNnzui2F0VIFravEILnn38eZ2dnnJ2d\nefHFFwvcb968eTg7O+Pg4MCBAwd0ZSiIP/74Q5evi4uLTlAaav/y5cvp06cP3bt3B6Rgb9++PZs2\nbQLkS/eIESPw9PTEzMwMc3Nzg/LNwc7OjmvXrnH58mXMzMxo164dAPv27ePu3btMnjwZjUaDu7s7\nr732mq68a9euZerUqdjZ2eHm5sb//ve/Qsv03nvvYWdnR7Vq1Rg/fjyrV68GYOjQoaxatUq337Jl\nywoUeR999BHjxo1j6dKltGnThho1avDTTz8BUlClpqYyc+ZMLC0tsbS0pG3btgXa06pVK5ycnPDz\n82PIkCGMHj2a6tWr4+Pjw5o1awDpda9atWq+3nY7OzvCw8NJSEjA2tqa1q1b53ueNWvW8Nprr+Hp\n6YmVlRUzZszQbSvst7FkyRJGjRpF586dAXBzc6NBgwb5nqdevXoMGjQIkL+f2NhYpk6dirm5Od26\ndcPOzo7Q0FAAfHx8dPk89thjvPLKKzrBXNh93LRpE82bN9d5ll944QVatGihE3BmZma8+uqr1KlT\nBxsbG/r168epU6cKzM/S0pIPP/wQjUaDtbU1v//+Ox999BGOjo44Ojry0UcfsWLFiofalJfC7Pfx\n8dH9ngYPHszp06eBwuu8QqFQVHSUMFUoFP9Zbt68iYuLC/Hx8aSnp9O6dWudSPP39yc5ObnAYz/9\n9FPq16+Po6Mjzs7O3Lp1S+ftKW3MzMzYuHEjiYmJJCYmsn79+gL3mzRpEomJiURFRWFra8tvv/32\n0Lz79++vy/fWrVvUqFGjSLbFxMSwZs0a3XVzdnZm//793Lp1S7dPUfOE3Jf3iRMnUqdOHXr06IGH\nhwczZ87UnTc2NlbvvLNnzyYpKQmQ3W3d3d11+dWqVavQc96/f46HrV27dtja2hIcHMyFCxeIiIjg\n2WefzTcPc3Nzxo0bx8GDB0lJSWHGjBmMGjWK06dPc+3aNTw8PAy+BidOnCApKYkrV64wd+5cNBr5\nlz1s2DCdB3f58uUFiuTFixdz7tw5GjVqRKtWrQr0rN28ebPAa3Xz5s2H/jauX7+u85AWRrVq1XTf\nra2tAahatareupwusXv37qVTp064uLjg7OzMt99+S2pqqkHnuXHjxgNd5+vUqUNcXJwunXeMtq2t\nre68+eHq6oqFhYVe/nXq1NGla9eurZd3Scl7nSpVqkR2djZarbbQOq9QKBQVHSVMFQrFf5Lz588T\nFhZG586dcXFxwdLSkrCwMJ1IS0pKKlBobt++ne+++44tW7Zw+/ZtEhMTcXV11YkpKysr7t69q9s/\nv7GIOZR2oJocG2rXrs3ChQv59NNPCxTYDwtkVJBd96+vUaMGI0aM0F23xMREUlJS9MYEFoalpaXe\n9YqPj9edx97enq+//prIyEgCAgJYuHAhQUFB1KhRgwYNGuidNzk5mb///huQnruYmBhdnnm/F8T9\n++cVLzlicNmyZfTt2xcrKyuDyjV69GiqVq3K+fPnqVWrFpcvXy78ghTCc889x+nTpwkJCWHLli06\nL+T9NGzYkNWrVxMXF8e0adPo379/vnX6YdfK1dX1ob+NmjVrlsk0O6+88gqDBw8mLi6OxMRE3Zhf\nKPw3U716da5cuaK37sqVK3qCryRUq1ZN7z5GR0fj5uYGFP7bL8nvvXr16g+t8wqFQlHRUcJUoVD8\nJ8gRYJmZmezcuZMXX3yRIUOG0LhxY2xsbBgyZAgTJkzQeR+uX79e4FyjqampaDQaHB0dycrKYu7c\nuXoewubNm/P333+TmJhIQkICX331VYF2ubq6Eh0dXSoRRu/Po1u3bnh7e/P9998btH/e9QVtc3Fx\n0QtgNGTIEDZs2MCuXbsQQpCZmcn+/fuJjY0t9Dw5NG/enBUrVqDVatm5cye7du3SbQsMDCQqKgqQ\nXVPNzc3RaDQ8+eSTaLVavvnmGzIyMhBCEBoayvHjxwF4+eWXmT17Nnfu3CEuLo6FCxc+1AaQ41nv\n3LnDjRs3+Prrr+nXr59u2+DBg1m/fj0rVqxg6NChBebx3XffceDAAbKyssjKymL58uUkJCTQsmVL\nfHx8qFy5MtOmTSMjI4OMjAwOHz5cqF33Y2try0svvcTAgQNp166dnrczL6tXr9bNuWtvb49Go8lX\nGL388sv8/PPPREZGkp6ezieffKLbVthvY/jw4SxevJgDBw4A0pv4sIBbhnL37l0qV66MhYUFJ06c\n0Bsj7OTkhJmZWb6BtACefvppTp8+retZ8Oeff3LixAk9L3dJfm/9+/fns88+Iykpidu3b/Ppp58y\ncOBAAJo1a0ZISAinTp0iIyND71qC/P0Ut3GisDqvUCgUFR0lTBUKxX+CPn366CJ8fvjhh7zzzjss\nWbJEt/2bb77B2dmZRo0a4eDgwJNPPqkXiTXvC/3TTz9Nt27d8PT0xMPDAzMzM72ufSNGjKBBgwbU\nqlWLnj178tJLLxXoKenbty9paWk4OjryxBNPFLlcefPNL2jRpEmTWLhwYb5zYBYU5Oj+9Xm/T5o0\niWnTpuHk5MSCBQuoX78+q1atYurUqTg6OlK9enU+++wzvaA/hXmJvv76a1134KVLl+qilYIM/NOl\nSxcqV65MmzZtGDlyJD179sTc3JygoCB27NhBtWrVcHJyYujQoTohNmvWLBwcHKhRowbdu3dn4MCB\nhdrh7+9PixYtqF+/Pl26dNEFnQHpgW7VqhUajUY3njI/NBoNb731Fs7Ozjg6OrJgwQJWr15NgwYN\nMDc3JyAggCNHjlClShVq1KjBsmXLCr3m+TFs2DBCQkIeOk/oxo0badCgAZUrV2bs2LH89ttvVK5c\n+YH9XnjhBUaOHEnr1q2pX78+Pj4+eud/2G/D19eXhQsXMnz4cOzt7enQoUO+HtT86trDyvjNN98w\nZcoU3RjOvJGIHR0dGT9+PE888QQuLi4cPnxYL/8aNWqwbt06PvroI+zs7Jg2bRobNmzQ84AX9rt5\nmJ0zZ87E29sbT09P6tWrh5eXF7NmzQKgSZMmvP/++7oxsm3bttU7fuTIkRw9ehQHB4d8x4o/7DpZ\nWFg8tM4rFApFRcdMPOqTyikUCoVCUQqMHDmSWrVqPeAFMwbR0dE89thj3LhxQxeES6FQKBSKikyF\n8pgGBgbStGlTHn/8cTV3l0KhUCjKjdjYWDZs2PDQ6V3Kk5yuxkqUKhQKhcIQKoKOqjDCND09nTFj\nxhAYGMjp06dZu3btQ+f8UygUCoWiNJg2bRqNGjVi/Pjx1KtXz6i2pKam4uDgQFBQkN60LgqFQqFQ\nFERF0VEWhe9iGhw+fJjGjRvrwtj379+fLVu26M3dZjbMDC4D4UAsoDopKxQKhaKUmDZtGtOmTTO2\nGQCEhIRQt25dY5uhUCgUChMl72hNQ3SUKVBhhGlMTIzevGTu7u4EBwfr7+T579IVuOsKEb0gzF9+\nppZOmHhF2WJmBtbWYGMjl0qVwM4O7O3lZ96loHUODuDiAs7O8vPf6fKMytTnn2dW27YwdaqxTVEo\nHmD48OEsXbrU2GYoFA+g6qbCVFF1U2HK3B9EzSAdZQJUGGFq0NxfK6HH6Dc5dTeAm5UuQdNVcgE8\nrFrR1NafprZ+eFm3x9zMgvvDPuVNG/L9UTvmYcdrtZCdDVlZ+kt+6/JbMjMhIwPu3YP0dPmZ3/fM\nzNx0aWFrqy9U7//u5gbVquV+VqsmjylNGjo6wvbtUphqNDB+PMybJzfOmwepqfDxx6Vzsqgo8PSE\nhQshJ6ro2LHQpg0MG1Y658ihUyfYv7/g7bNmKTFeAfDw8DC2CQpFvqi6qTBVVN1UVCRKe870sqLC\nCFN3d3eio6N16ejoaD3lD8BF2Pa/bxFCEHYrjICwAAIjAgmOCiYq4zhRGcfZdHsmjtaO9PTqiZ+X\nH37eftRyqFXOpVEURHa2FKjp6ZCWJpeUFLhzJ3d5WDolBW7fhsREuHVLfqalwdWrcjEUe3t9oVq9\nOri7Q+3a8jNnKZaAtbKCDRtgyhRwdZVu4tLGzU0K01GjwNKybM4BDxelALNnK2GqUCgUCoVCYUQM\n0lEmQIURpm3atCEkJISrV6/i5ubGH3/8waJFi/Ld18zMjAauDWjg2oB3279LWmYauy/vJjA8kMDw\nQEITQll7bi1rz60FoKlbU/y8/fD39qdTnU5YmVuVZ9EUeTA3l913K1WSXs2SIoR0RuYVqnk/ExIg\nLg5u3JBLzveUFLlERDw8f1dXfbFat650Vnp5yc+cMlTOGznT0hLeeAO+/BI++0w/w+vX4bXXIDpa\nismvv4Ynn4RmzWDfPqmYq1SBr76CIUNg6FC59Oihn0/VqtC5M/z6q8wvh8hI6NsXjh2T6bAwGDBA\npjduhIkTpRu5XTu4dAk2bYLp0+V5J0yQxzRpAn//DXXqyP7Td+5ATAwMHCgvWlYWfPcdbNkiWwVa\ntpTH/Dtfo8L0cHJyMrYJCkW+qLqpMFVU3VRUJIqio4xJhRGmNjY2fP/99/Tu3RutVsuQIUNo1aqV\nQcfaWtri5y29owCRiZEEhQcREB7Azks7ORN3hjNxZ/jiwBfYWdnRvV533f4eTh5lWCpFWWNmljv+\n1NCGISGk1zWvWI2NlR7X6GipwaKjZTohQS4nT+afl7OzFKhdsrxomXienT/Cq9lw/dk3qfVUM8ze\ne0//gDfflJ7UTp3gyhXo1g3Cw2V63z4pBr285PchQ+DQISjowfLee+DvDyNG5F4MT09wdIRTp6B5\nc1iyRG5PS4PRo+HgQfDwkCIzx8t6v7c1bzrn+8qV8Mwz8pwgWwN8fODbb8EEo74p9GnRooWxTVAo\n8kXVTYWpouqmoiJREh1VnpgJcf/IwoqLmZkZRS1OelY6+6P3ExAeQGB4ICFxIXrbH6vymBSpXn48\n6fEkNhY2pWmyogKj1cLNm/piNSpKOiUjIuRnaqrctys7+ZDP6M5OkrHHgRRmWX6MU1VLHGvYUtvp\nDgljP6bPYAc09b3QSb/4eDh7FjZvhtOnpUvWxgYWL4Z16+CFF+DwYX3DoqKgTx84c0aOKe3ZU+7z\nxBMyvXIl/PMPLFgADRrAkSPSczppEuzeLfPYtEmeY9MmmDFDKvscj2nTptIbWqeO9KSmpMDevTBy\nJAwaJM+d87DL2a5QKBQKhUKhKBeKo4lMgQrjMS0rrC2s6VavG93qdeOLnl8Qkxyj6/K7LXIbF+Iv\ncCH+Al8d+gpbC1t8PXzx9/bHz9sPbxfvCjOYWFH6aDS5Y1CfeOLB7UJIb2tkJNz5C+qthqE+YL4c\nqrjA3PhxHI9txZLYVwkFPtkBSZhRPeQI3o9Z0KKFdGo2PwytGnfB9ZtvpDdz5kw5RnXtWujS5eFG\nTp0KL78suwPn8OKLUmx26yYNd3Z+0Cua92Gm0UgVnkN+kal8fGDPHilYX3sNxo2TXYwVCoVCoVAo\nFAoD0BjbAFPD3cGd11q9xtp+a4mfFM+e4XuY0nkKLau3JC0rjYDwAN4JfIcG3zTA+/+8Gfv3WDZf\n3ExqRqqxTVeYGGZmUrR26ABVq56knocc8lmpkvS0ht10xmJgPya5/Ez79mb07g0HKvVgZNYPhITA\n8uWwdFIIvXpBlRbuRPwTT+jf4UxZXI9T9p3JmjMP4VOIMG3YEB5/XHo+c7Cxgd69YcwYePVVua5J\nE7h4ES5flunVq3PFqrs7HD8uv588Kcee3k9MjAy4NHKk7Bp89Khcb24uI1opTBpTDBmvUICqmwrT\nRdVNhaL0+c97TB+GpbklPnV98Knrw6zus7h+5zpB4UEERgSyNWIrkYmRfHvkW7498i1W5lZ0qdsF\nPy8//Ov706hKI+VNVeTPv/WiShXgywnw5zf4+4P/R8DNH+j56mvMvbCIe2mCc04dmey8mFOnYP+d\n9mhua/n8c9hNZ/YwlQYjOvNYB2jbVsYratMGnPOcA4APPpABiPKuGzhQel179ZJpW1s5VrVHDxn8\nqEMHSE6W2/r1k4q6SRNo316K3fvKwvbtMH++DOxkbw+//CLXDx8OjRpJ41TwI4VCoVAoFApFAfzn\nx5gWl2xtNkdijxAYHkhAeABHrh5BkHvu2g61dZF+u3t2x8HaoVzsUpgoO3fKCLw7dxbrcK1WOipP\nnZJOy2PH5DDR+PgH923QQOpAHx/Zg7d+/Xxmi1mwQIYm/vTT/E+4e7ecXzWvp1WhUCgUCoVCYfJU\n1DGmSpiWEvF349kWsY2A8ACCIoKIS43TbbPQWNCpdiddpN/m1Zorb+p/jRIK0/wQQorVw4elSD18\nWPa4TU/X3696dSlQu3SRn49/9BJmly7B1q3/um3zYfdu6QH9669Ss1ehUCgUCoVCUfYoYWoCmMpN\n0AotJ6+fJCAsgMCIQA5GHyRb5I6zq25XXRfpt6dXT1xsXYxoraI8OLlgAS02by5VYZofGRkyGO+B\nAzIW0e7dcjxrXqpUkd7Unj3lUFNPzzI1SVEBCA4OxtfX19hmKBQPoOqmwlRRdVNhypiKJioqSpiW\nA0n3ktgeuV3X7Tc2JVa3TWOmoV2tdrpIv61rtkZjpmJSPWqUlzC9HyHgwgUpUHOEamys/j7e3lKg\n+vmBr6+cGUbx30K9YClMFVU3FaaKqpsKU8ZUNVFhmJQwHT9+PIGBgQB4enry66+/4urqCsDs2bNZ\ntmwZ5ubmzJ8/n145QVvyUBFughCCkLgQnUjdd2UfmdpM3fYqlarQ26s3ft5+9PbqTdXKVY1oraLU\nKIOuvMVBCDnH6q5dEBQkYxbdvp273dJSdvl97jm51KljPFsVCoVCoVAoFEWnImii/ChUmJ49Kz0t\nUVEygIqHh+wG2Lhx6Ruza9cunnzySTQaDZMnTyY9PZ0vv/ySY8eOMXr0aA4dOsT169fp3LkzoaGh\nWFlZ6RemAt6ElPQUdl7aSWBEIAFhAVy+fVm3zQwzWtdsrQui1LZWWyw0KpByhcREhOn9ZGXJ8alB\nQXL55x/9KUxbtYLnn5dLkyb5BFFSKBQKhUKhUJgUxtBEx68dZ1XIKvZc3kNUUhRmmFHXqS5d6nZh\nYJOBtKzRstA8ChSmy5bB//0fuLrKqShq1pQvrNeu5UYDffddGDy41MsFwKZNm1i2bBl//PEHn3zy\nCZUrV2bChAkAPPPMM0yePJnOnTvrF6YCCtO8CCEITQglMDyQwPBAgqOCSc/OjWTjZONET8+e+Hv7\n09u7NzXtaxrRWkVRMFZX3qKSkAABAfDnnxAYCKl5puf19IS+fWHQIGja1Hg2Kkof1SVNYaqouqkw\nVVTdVJgy5a2JnlrxFM62zjzb4Fna1mpLDfsaCCG4duca/1z9h00XN5F0L4ktA7c8NJ8C3W+JibBj\nh5ySMD+Sk2Hp0pIU4eEsXryYAQMGAHD16lW6deum2+bu7k5MTEy+xw0fPhwPDw8AnJycaNGihe7B\nkTMZsqmmd+/eDcA433GMaz+OwB2BnLp9iqu2VwkMDyTsVhhrzq1hzbk1AHhV9qKtS1ve6PYGHWt3\n5MDeAyZVHpXWTycmJXEqzx+Zse0pKD14sC+DB0NQUDDHj0NEhC9//QWRkcHMmQNz5vj+O6VpMN27\nw4ABpmW/Squ0Sj866RxMxR6VVumc9MmTJ03KHpVW6fvT5cmS55ZQza7aA+s9nT3xdPZkQJMBejOW\nFES5jzHt2bMn169ff2D9rFmz6NOnDwAzZ87k+PHjrFu3DoBRo0bRrVs3+vfvD8Do0aPx9fXVCdcc\nKrrHtDAibkVIb2pEIDsv7eRu5l3dNnsre7p7dsfPyw//+v7UcVSDA00KE+3KayjZ2bB/P6xaBX/8\nAbdu5W7r2FF6UV95BZydjWejQqFQKBQKhcJ4muhOxh1sLWwx15gTGh/K2Ztnebr+01hbWBt0fIHC\n9M4d+P13cHODZ56BL76QET3r1IHp0+XciGXBr7/+yqJFi9i5cyc2NjYAfPrpp9ja2jJx4kRAduWd\nMmUKnTp10i/MIy5M85Kelc7eK3t1QZTO3Tynt71RlUb41/fHz8sPn7o+2FjYGMlSBVDhhWleMjLk\nFKgrV8LGjXD33/YRGxvZ1fe11+Q4dDUeVaFQKBQKhaL8MZYmarmoJYdGHiIuNY7OSzrr4uOsemmV\nQccXKEyffx4qV5ZjzBITZeCTZ56BffvkGNNt20q1HAAEBgYyYcIEdu/eTZUqVXTrc4IfHTx4UBf8\nKCwsDEuhsgRCAAAgAElEQVRLS/3C/IeE6f1cuX1FNzZ1e+R2UjJSdNsqWVaiq0dXXRAlLxcvI1r6\n36SijDEtKnfuSHG6dKmM8JtDw4bw+uswciQ4ORnNPIWBBAcH67oAKRSmhKqbClNF1U2FKWNMYXpi\n1AkWHl5IelY6kzpNovkPzTk1+pRBxxc4xvTCBblkZYG7u/SWAvj7Q6NGpWL7A7z99ttkZGTQs2dP\nADp06MB3331H69ateeGFF2jWrBkajYZFixY9IEr/69RxrMMbrd/gjdZvkJmdyYHoAwRGSKF68vpJ\ntoRtYUuYHHDs7eKtE6m+Hr5UsqxkZOsVFRU7O9mNd9AgiIyEX36RS2goTJwIH38Mw4fDO+9AgwbG\ntlahUCgUCoVCUZYcuXqEVSGr+KnPTwBFEsgFekxbtoQTJx78nl/aVPgve0wfxrWUawRFBBEQHsDW\niK0k3UvSbbM2t+ZJjyfx8/LDz9uPx6o8hpnqg1n6PEJdeQsjKwu2bIFvvtH3oj79NIwfD127qm6+\nCoVCoVAoFGWFsTTRjsgdLDi0gC51uvB+5/eJSopi3oF5fPPUNwYdX6AwrVpVBjMRAlavhgEDcuc3\nXL0a4goPrFTuKGFaOFnaLI5cPUJAeACB4YEcjT2KIPea1XWsi5+3FKnd63XH3rqAsMyKovEfEqZ5\nCQmBr7+G5cvh3j25rmNHmDYNevdWAlWhUCgUCoWitCmKJpo+fTo//fQTVatWBWD27Nn4+fmVpXkF\nUqAwXbpUvjTmt9XMDIYNK2PLioESpkXnZupNtkZsJTAikKDwIG7evanbZqGxoHOdzvh7++Pn7UdT\nt6bKm1pMHtUxpoYSHw8//ABffSXnSgVo00YK1GeeUQLV2KixUgpTRdVNhami6qbClCmKJpoxYwb2\n9vaMHz++xOcNiQth3oF5RCdHoxVaaQtm7Bxm2PtvgWNMhw8vsW2KCkDVylUZ1GwQg5oNQiu0HL92\nXBfp91DMIYKjggmOCub97e9T076m9KZ6+dHDswfOtmpuEIVhVKkCH34I48bB99/DvHlw5Ag8+yy0\nbi2jfnftamwrFQqFQqFQKCoewcHBJZq/tLQcey/98RLj2o1jzBNjMNeYF/n4Aj2m/04pKne6z3Nq\nZgZ//VXkc5U5ymNauiSmJbItcpsu2u+1O9d028zNzGnv3l4XRKlljZZozDRGtNbE+Y925S2Iu3dh\n8WKYMwdypjV+6imZbtLEuLYpFAqFQqFQVGSK6jH99ddfsba2pnXr1ixcuBAXF5dinbftj2355/V/\ninUsPESY5ojuDRvg5k398aZVq8oueaaGEqZlhxCC0zdOS5EaEci+K/vI0mbptletVJXe3r3x9/an\nl1cvqlSq8pDc/oMoYZovqanyWTJnDqSkgEYDY8fCJ5+Ao6OxrVMoFAqFQqGoeNyviXr27Mn1HE9A\nHmbOnEnHjh1xdXUF5HjTiIgIli9fXqzzTg+eTnW76jzX8DmsLax1611sDRO6BQrTHNq1g8OHC19n\nCihhWn4kpyez89JOXRClK7ev6LaZYcYTNZ/Av74/fl5+tK3Vtlju/EeJ//oY08K4eRNmzJDdfLVa\nqFZNdu8dPFiNPy0P1Fgphami6qbCVFF1U2HKFFcTxcbG0rVrV0JDQ4t1Xo+vPPKNR3Pp3UsGHV/g\nGNMcbt2CqCjw8JDpy5flOsV/GwdrB55/7Hmef+x5hBBciL+gE6m7L+/mSOwRjsQe4ZPdn+Bs40wv\nr174e/vT27s31e2qG9t8hYlRtaqcXub11+HNN+HAARg6FFauhJ9+glq1jG2hQqFQKBQKxaNHXFwc\nbm5uAKxbt47GjRsXO6+ocVElsqVQj+nGjTB6NDRoINMXL8KiRTJoiamhPKamQWpGKsFRwQRGBBIQ\nFkBEYoTe9hbVW+gi/XZw74CluaWRLC1HVFdeg9Fq4bff5JyniYng5AT/938waJDynioUCoVCoVAU\nRlE00ZAhQzh9+jQZGRnUrVuXn3/+mVol8Agciz1GaEKo3pC/oc2HGnRsocIUIC0NzpyRL4VNmoCt\nbbFtNYj58+czadIk4uPjdYNvZ8+ezbJlyzA3N2f+/Pn06tXrgeOUMDVNwm+F6yL97rq0i7SsNN02\nB2sHenj2wM9Lzp1a27G2ES0tQ5QwLTLXrsEbb8DmzTLdv7/0ntrZGdcuhUKhUCgUClPGWJpo8vbJ\nHL56mLNxZ3m6wdMEhAXQuU5n1vZba9DxBYZRzRtx2NYW2raV8w7mFaW7dhXX7IKJjo5m27Zt1K1b\nV7fu2LFjrF+/njNnzhAYGMioUaPIyMgo/ZMrygRvF2/Gth3LloFbuPX+LYIGB/G/9v+jUZVGJKcn\ns/78et7Y/AZ1vqpDk++aMHHrRHZE7iA9K93YppcaJ0+eNLYJFY4aNWT0719+AXt7GXitbVu4cMHY\nlj16lCTEvEJRlqi6qTBVVN1UKB5k/fn1bB+ynZr2NVny3BJC3gwhJSPF4OMLFKabN8uXwKlTYf16\nOHhQjvtatw6mTJEiNSCgVMqgx/jx45k7d67eui1btjBgwADMzc2pVasWjRs35p9/ih+KWGE8bCxs\n6OXViwW9F3DurXNcevcSPzz9A88/9jx2VnacvXmW+Qfn02NZD1zmutBnVR++O/IdkYmRxjZdYQTM\nzODVV+Wcp48/DufPy2fPunXGtkyhUCgUCoVCkRdHG0fMNeYIBHcy7uBq60rErYjCD/yXAoMfzZsn\np2/YuBG2bZNBjwDq1oXOneGDD0q/S93GjRtxd3enWbNmeuuvXr1Kt27ddGl3d3diYmLyzWP48OF4\n/BupycnJiRYtWuiipuW0bqm0aaVH+Y5i1BOj2LZzG2eTz3LN7hqB4YGcvnGazRc3s/mi7MtZ27Y2\nbVza8NqTr+Hr4cvh/YdNwn5D0i1atCBx+XJO5YniZ0r2mXq6YUOYNy+YefNg505fXn4ZRo8Opl8/\n6NrV+PZV9LSvr69J2aPSKq3SKl0R0jmYij0qrdJ508agdY3WJKcnM7z5cFr80AI7Kzs61O5g8PEG\njTEtTR42j86sWbPYunUrDg4O1KtXj6NHj+Lq6sqoUaPo1q0b/fv3B2D06NH4+voyYMAAvTzUGNNH\ni6vJVwmKCCIwPJBtkdtIupek22ZjYcOTdZ/UBVFq4Nog3/DUJoMaY1oqCAHz58OkSTI9YYKcVsaU\nb71CoVAoFApFeWIKmig0PpT07HSaVWtW+M7/Uuh0MaXNtm3b8l0fEhLCpUuXaN68OQAxMTG0bt2a\nw4cP4+7uTnR0tG7fmJgYatd+RIPkKHTUcqjFiJYjGNFyBFnaLA7HHNZF+j127RhBEUEERQRBEHg4\neehEard63bCzMq0IOSdPnqSFsY14BDAzg4kToXZtGDJEitT0dFi4UInTkhAcHKxraVUoTAlVNxWm\niqqbCkUu52+ep1HVRhy/dvyBbcevHadVjVYG5VPuwrQgmjRpwo0bN3TpevXqcezYMVxcXHjqqacY\nPXo048aN4/r164SEhNC2bVsjWqsobyw0FnSq04lOdTrxaddPiUuNY2vEVgLCAwgKDyIqKYrvj37P\n90e/x1JjiU9dH/y8/PCv70/jqo1N25uqKDL9+0PlyvDSS3L+Uzs7mD3b2FYpFAqFQqFQ/PdYcGgB\nP/b5kfFB4/N95941zLCIueXelddQPD09OXr0qG66mFmzZrF8+XI0Gg3z58+nd+/eDxxjCm5rRfmT\nrc3m2LVjBIYHEhgeyOGrh9EKrW57Lfta+Hn74e/tT3fP7jjZOJW/kaorb5nw999yTuXsbPjqK3j3\nXWNbpFAoFAqFQmFcKqomKlSYpqTAnDkQGyunbYiIgHPnoE+f8jLRcCrqTVCULgl3E9geuZ2A8AAC\nwwO5kZrriTc3M6dj7Y74ect5U1tUb4HGTFP2RilhWmYsWwZDh4JGA1u3QvfuxrZIoVAoFAqFwniU\ntyZad27dQ3snvtjoRYPyKVSYPvccdOwIv/0GZ8/CvXtyGpnTp4tmcHmghKnifrRCy+kbpwkICyAw\nIpD9V/aTLbJ126tVrkZv7974efnRy6sXrpVcy8SOkwsW0GLzZiVMy4hp06Tur1IFjh+XY1AVhqPG\nSilMFVU3FaaKqpsKU6a8NdHwP4djZmZGXGocB6IP0K1eNwB2XdpFx9od2Txws0H5FDrGNDJSThnz\n++8ybWMjPRMKRUVAY6ahRfUWtKjegik+U7h97zY7Lu0gMDyQgPAAYpJj+O3Ub/x26jfMMKNtrba6\nIEpP1HwCc425sYugMIDp0+Vcp0FBMHKk/FTDihUKhUKhUCjKnqXPLwXAb7kfoWNDcavsBsDN1JsM\n/XOowfkU6jFt3Rr27ZNe0xMn4MoVOabr5MniG19WKI+poigIITh385xOpO69speM7AzddldbV3p5\n9cLP24/eXr2pZlet+CdTXXnLnLg4aNQIbt2CJUtg+HBjW6RQKBQKhUJR/hhLEzX8piGhY0MLXVcQ\nhQrTv/6Czz+HsDDw94ddu2DxYvnd1FDCVFES7mTcYdelXbopaS4lXdLb3qpGK10Qpfbu7bHQFCGo\ntRKm5cLy5XIaGScnCA8H12L0zM7OhjNnICQEoqIgIQG0WrC0BAsLmbeHB9StC15e4OZW2qVQKBQK\nhUKhKD7G0kSvb3qdmOQY+jfujxCCNefWUMuhFj/2+dGg4w2KynvjBuzdK7/7+EC1EjiOyhIlTBWl\nhRCCsFthuki/u6J2cS/rnm67o7UjPTx74O/tT2/v3rg7uD80PzXGtHwQAnr1gu3bYepUmDnT8OP2\n7YMffoCAAEhMNPyctWpBmzZy6dpVflqYzERchqHGSilMFVU3FaaKqpsKU8ZYmkgrtKwOWc3eK3vR\nmGnoXKcz/Rv3N3jaxgKF6bFj+mO0cvbKWdfKsHlSyxUlTBVlRVpmGnsu79F5U0MT9LskNHVrqov0\n27lOZ6zMrfS2K2Fafhw6BB06yLlNo6IK95qePw+jRuU2voH0iLZqBd7eULWqFJqZmXJJSJD5Xr4M\nFy/KyOV5cXKSkYH79IHnnwdHx1IuYBmgXrAUpoqqmwpTRdVNhSlTUTVRgcLU11eK0LQ0KVKbNZPr\nT5+GJ56AgwfL0UoDqag3QVHxuJR4SXpTIwLZEbmD1MxU3bbKlpXp7tkdPy8//Ov74+HkobryljN+\nfjIAUmFe0+XLYcQIKTirVIExY+TUM97ehp1Hq5Xi9OhR+UzculV2Ic7Bykra8sorUqTa2JSsXAqF\nQqFQKBSFYSxNtDtqN28HvM3FhItki2yytdnYWdmRPCXZoOML7cr78svwySfw+OMyff48fPQRrFlT\nYttLHSVMFcYgPSud/dH7dUGUQuJC9LY3dG2Iv3UT/ALDeHL1YWwslDopa/btk8MOqleHq1fzjyT+\n00/wxhuyN8hrr8HcueDsXPJzR0bK7sDr1kFwcG5vExcXOf719dehceOSn0ehUCgUCoUiP4yliZp8\n14QN/TfQb20/jr5+lJVnVnL25lk+7/G5QccXOvHL+fO5ohRk1Mtz54ptb6H83//9H82bN6dp06ZM\nmjRJt3727Nk8/vjjNG3alK1bt5adAQpFEbG2sKZbvW7M7TmXM2POEP2/aH7q8xMvNXoJB2sHQhNC\n+Sp2HX7NTuMyx4WnVjzFwsMLCUsIUw0pZUSnTrI77vXrsH//g9uPHJHdd4WAOXPgxx9LR5QCeHrC\nW29J53hsLCxcKLsF37oFX38NTZrIcbBbt+aKVmMTHBxsbBMUinxRdVNhqqi6qXhUWLNmDY0bN8bc\n3Jzjx4/rbSuq/rI0t6S+a30ysjMw15gzpPkQtkVuM9iWQkN0eHvLF7hXXpEvUatXG97Nrahs2bKF\noKAgjh07hoWFBQkJCQAcO3aM9evXc+bMGa5fv07nzp0JDQ3FysqqkBwVivLH3cGdka1GMrLVSDKz\nMzkUc4hfV87gRMJhjtvfISA8gIDwAN7lXTydPXWRfrt6dKWyVWVjm/9IYGYme3vMmwdr10rvaQ6Z\nmdJrqdXC+PHw3ntlZ0f16vD223I5flwK4GXLYNs2uTRtChMnwoABstuvQqFQKBQKRXnStGlTNmzY\nwKhRo/TWF0d/2VnZkZmdSRO3Jry//X2qVa7G3cy7BttSaFfeu3dlK/++ffJlr3NnePddsLU1+BwG\n88ILLzB+/Hh88r5FAp988gmVK1dmwoQJADzzzDNMnjyZzp076+2nuvIqTJZ/x5he/2slWyO2Ehge\nSFBEELfSbul2sTK3okvdLvh5ySBKj1d93OAoZooH+ecfaNdORs29ciW3O++CBTBhAtSrJ6eFqVzO\nbQGJibBokfSkXrsm19WqJcfDjhwJ1tbla49CoVAoFIpHi+Jooq5duzJ//nxa/Rvh1lD9lZfLSZep\nZleN1IxU5h+cz72se4x5Ygz1XesbZEOhHtNKlWDKFIPyKjEXLlwgKCiIt99+G1tbW+bPn0/Hjh25\nevUq3bp10+3n7u5OTExMvnkMHz4cDw8PAJycnGjRooUualpOtwuVVmljpBOTkrhw9AJDfYcytPlQ\nduzaQWhKKHEOcQSGB/LP1X/YHrmd7ZHbmbhtIm7WbrR1acurPq/Sw7MHxw8eN6nymHo6NTUYNze4\netWXQ4cgI0NuX7xYbh85MpgjR4xj3+TJ0Lp1MDt2wObNvpw9C2+9FcyMGfDZZ74MHw7795fv9VJp\nlVZplVZplVbpipk+efIkSUlJAERFRVEaFEV/AWRrs/lw14cse2EZNhY2zOo+q8jnLNRjWq9ePgeZ\nyQAfxaFnz55cv379gfUzZ85k0qRJ+Pn58fXXX3PkyBFeeukloqKiGDNmDN26daN///4AjB49Gl9f\nXwYMGHCfXcpjqjBNDJkuJuFugvSmRsi5U+NS43TbLDQWdKzdEX9vf/y8/WherbnyphrAm2/C99/L\nLr0TJkBoKDz2mAxEdOOGacw3qtXCn3/Cxx9DyL9xs+rVk0HmBg8uHxuDg4N1f3AK0+fuXYiPl+OW\ntdrcscp2dnJ6JCcn06jbpYGqmwpTRdVNhSlzvyYqSH/NmjWLPn36AA96TEeNGmWQ/sqL71Jftg/d\njoWmeH9ChR515Eju93v3YMMGiIsreP/C2Lat4AGwCxcu5MUXXwSgTZs2WFlZcePGDdzd3YmOjtbt\nFxMTQ+3atYtvhEJhgrhWcuWVpq/wStNX0AotJ6+f1EX6PRh9kD2X97Dn8h6m7JhCdbvqct5ULz96\nevXExdbF2OabJDnj4S9flp8bN8rPp582nRd3jQZefFFOJ7NmDUyfDhcuwKuvwqxZUrAOGADm5sa2\n1DRJSJDTmJ0+DRERMgrz1atw86ac7iwtDTIyZBfpSpXk4uYGdepA7dqyjjzxhAxKZWlp7NLoEx8P\nu3fDiRMyEOH583IO3bS0wo+tVg0aNpQNMY8/LofhtGhhmvUoMVEGVYyKkktMjJwf+M4d+b1KFTnV\nkrW1DFJWq5ZcPDygefPC5yo2NbRaSE2VZbx3T44vt7aWZbSz059DXqFQKEqDh+mvgiiO/qrtWJsO\nP3fg2QbPUsmyEiBF8vgO4w06Z6Ee0/xo00ZfsJYWX375JUlJScyYMYOLFy/i6+tLTEwMJ06cYPTo\n0Rw8eFA3+DYsLAzL+94ilMdUYbKUcB7TpHtJ7IjcQUB4AIHhgVxNuarbpjHT0K5WO10QpdY1W6Mx\n05SW5RWadetkEKRnn5WitHNnGaV3zRq53hTJzoZVq2DGjNw5UR97THpQ+/UzTWFRnly/Djt2wPbt\n8ud05Urp5GttDS1bykaL556TQrW8BYIQct7wlStl+c6cKdjWqlWlSMvbwJKSIr2oiYn5R3x2cJC/\ngRdekPXfyalsylEYcXHw11+wdy8cOiTnAi4JtWtD69bQvbu8f/n19DIGiYmyfIcOQViY7Gl26ZJs\nNCnoVcXWFmrWlEv9+rIxIWexty9f+w0lO1s2IEREyIaFxERITpaLVisbfCwtpeiuXh1q1JANCw0b\nVsy5nbOzZdlSUuTz2Nxc/g4fpZ4KiopPcceYzps3j9atWwMy+JEh+isv04Ony/Oj/wf6se/Hhtld\nmDA9diz3z1mrlRPJf/ml7BJX2mRmZjJixAhOnDgBwIIFC+jVqxcgXc3Lly9Ho9Ewf/58evfu/cDx\nSpgqTJYSCtO8CCEIiQshMDyQwIhA9l7eS6Y2U7e9SqUq9PLqhb+3P728euFW2a3E56yoHD0qG9Ka\nNZNRcKtXly9I8fGm+5KXQ1aWjOD76afyZRbkdF0ffwx9++Y/N+ujyu3bsjHht9+kmMlLpUoyunHz\n5vJFN8ebVq2a3JbjaUtPl11g796V4vbKFelJP39eNrSGhenn6+kpu1K//jq4u5dt+W7dgl9+gaVL\n4ezZ3PU2NtCxI7RvL72ejRpJsVKYVy1HKISGSu/7iROwZ4/+EBxra+jTR5avZ8+yF+G3b0vBvWaN\n9AJrtfq2NG0qr7mHhxSaTk4yMFmlSnLfe/fkkpCQ6xUPC4NTpx70IDdqJIX38OEyz/JCCBl9+48/\nYNMmWbcKolIl+QyysZGRwjMycutnflhYyLrg7w9PPSWvl7E8qwkJEBwsG/n274eTJ6X9RcXcHBo0\nkL/dzp3Bzw+8vErd3GIhhGww2b9f/ibDwmRDYY43Pz/MzKR3v1o1WY+bNJH3qUULWSdN0RN+/bp8\nTly8KMsYFycbFhIT5e8tR3jnNIa5ucnyNWgg5+OuX9/0eprcT3y8fA5euiTrbk7jnVYr74lGI5+p\nVavKpWZN+bytVs0079n93Lkj7+HVq7KsCQnyc+5cwzXRhg0beOedd4iPj8fR0ZGWLVsSEBAAGKa/\nSpNChamvb+6N0WjkH/SkSfIHZ2ooYaowVQwZY1pcUtJT2BW1S9ftNyopSm976xqt8a/vj5+XH+3c\n2xW7339FJD5e/tE4OsIPP8hpr3r3hsBAY1tmOJmZUpB99pn0RoDsfvr227K7b2kIbFMdKxUZKbsz\nr1ghX5JAvsj7+kKPHtJD1rRp6XiRk5Kk6N24UYqKnCErFhYwbBh8+KF82SxNkpPlPLoLF8qXC5Av\ntoMGSa9mu3al61GKiYGgICkQd+3K9dq1bCmvs59f6Z0rhxs34PPP4aefcstoaSnvn78/dOggG46s\nrPI/vrC6mZ0tX6oPHYKAAFm+5OTc7c8+C5Mny/OUFfHx8vmydKn0GuZgbS09uR065ApvT0/ZQFZQ\nnU1JkdG6Y2Jk9+aTJ2XDwqlTsqw5NGkio3iPGCE94WXN7dtyLPzvv8tGvry2gCyTl5csX5Uq0iZ7\ne1nOzEy55JTt2jXZMHTxon4DBcg8+vSBoUOloCtPYXD3rvTkr10rG3Ju3ix4X0dHsLIKxsrKl6ws\nKcyTkgr2hNeoIRuAevWS5SuPe5YfMTHy/2/PHrnkDHMpLpaWcp7uHj3k0qGDcSPLp6fLiPzBwbnD\nIG7dKvSwfHF2luK7Sxfo1k3Oj25sD39mpmxw37VL/l+FhMh7mj/lq4lGbBzBmCfG0KZWm3y3H445\nzA/HfmDJc0semk+hwjQy8sEWx0uXTKerTF6UMFWYKmUpTPMihOBiwkVdl9/gqGDSs9N1251snOjp\n2RN/b396e/empn3NMrXH2AghW0Lv3oXRo+XL40cfyW6yFY2MDPj1VykgcgSqvT0MGSLHoHbqVHwv\nqqkJ08hImDlTljfnBbhrV/my+tJLZe/tzs6WLzXffw/r18uXZ2trGaF+8uTSefFauxbeeSd3yqBe\nvWSwLn//8pnTNiZGNngsXCjFI0hP3OLF0uNcUjIz4Ysv5H3M8QL6+koh1aeP4d2Ii1o3MzPlC9vS\npdJzmf7v4++552QQtNKchz0xMbdhIcdrW62a9Nb27Stf0kvrXiYlye7dAQFSPMXHy/UODnIKv4kT\ny0bsREXJ6/bLL7llNDeXL+s+PvK5066dFGpFJS1Niu9jx2TZtm+X1zSHtm3lXNMvv1y2QxgOHJC/\n9Q0b5NjfHKpVk2Vs1Up6Br29oW5dWVaN5sG6mZUl78u1a9K7euaMFA6HDuX+zkH2BBgwAN54Q/bo\nKWvxnZwsh7UsX67fIAWyzuR4PuvXl95CJycpymxt5bMvO1s2DN68KRvsYmNlb4CQkNz/ohwcHWXD\n2siR8rqVB1qtfF7/9pt8ruY0gOVgby9703h7y4ZqFxdZPnNzeS20WnmNbt6Uy+XLsl7evq2fj7W1\nfEaOGCEb8cqr23Z2tnx1/PVX2XB6f/msrGT56tSRjUJVqshx91Onlq8mOnPjDF8c+IJDMYdoWKUh\nNexqIBBcv3Od0PhQOtbuyMSOE2niVohnUxRCy5aGrTMFDCiOQmEcduwQomvXcj9takaq+Pvi3+Kd\ngHdE/YX1BdPRW5p930y8v+19sevSLpGelV7u9pUHjz8uBAhRq5b8XLvW2BaVjMxMIdatE8LHR5Yn\nZ6lZU4g33xRixQohwsOF0GqNbWnRuXdPiOnThbCykmUyNxdi2DAhLl40nk2hoUK88krudW7ZUoiw\nsOLnl5oqxGuv5ebXrp0QBw+Wnr1FJS1NiC++EMLBQdrj5CTrV0k4f16IZs1yy/jss0KcOFE69haF\nGzeE+OADISpVknbY2grx1VdCZGeXLF+tVojVq4WoUiW3jE89JURQkBBZWaVj+8NITxdi/Xohnnwy\n9/xVqwqxcmXp/e5v3xZi4sTc3yII0aWLED/8IMTNm6VzjvvJyhJi/34h3n5bCBeX3PM2aSJEQEDp\nn+/AgQefo+3ayToSFlZ611KrFeLMGSEWLJDXMO/52rcXYtu20jnP/dy4IcR77wlhb597PmtrIZ57\nToiFC4U4ebLk9fX2bSG2bBHif/8TonFj/bK1bCnEH3+U/PdWEHfuCDF/vhB16uift3FjIcaOlf/1\nV68W7z5qtULExgqxebMQ48cL0aKF/jmqVxfiww+FiI8v/XLlkJgoxCefCOHurn/uhg2FGD1aPoPC\nwpnwszkAACAASURBVAq+h8bSRPcy74mD0QfF72d+F6tDVotD0YdEWmaawccXaPW5c/Km1qsn/6TW\nrpWfv/0mhLd3qdhe6ihhqjBZjCRM7yc8IVx8+8+34pmVz4hKMyvpiVT7Wfbi+d+fFz8c+UFEJUYZ\n29RSw9//3we6WZag7f+JBdtWivjUMvw3KUdOnBBi0iQhPDz0/7hAvti1aiXEM88I8cYbQkyYIMSU\nKUJ8/LEQn34qxMyZQsyaJcTnnwsxZ44UJ/Pny5en776TL74HDggRFVV2LxZ5uXhR/89/yJCSCcDS\nJjhY/h+CFHF79hQ9j1u3hOjYUeZhYyPEt9+Wz7U1hGvXhHj66dzrP2dO8V7oNm3KfRH29BRi+/bS\nt7WoxMYKMWhQbtn69pUNBMUhLU3WzZy8fHyE+Oef0rW3KOzbl1unQIgXX5RioSTs3Kn/sj9woBCn\nT5eOvYaSmipF8P12JCSUPO9bt/TvoZOTEFOnyga98uDCBSn6XV1zbXj+eSGio0sn/8xM+SzPaWzK\nqac//STFTlly+rQQ776r37DQsqUQhw6V3jmys4X4+Wch3Nxyz+HhIcS0abIhsayIjZXPxYYNc89r\nZyf/S+/dK73zpKcLMXeu/v2rV0+IGTOEiIw0PJ+KqokKtHrDBtlS7eIixPDhucuYMfIP2hSpqDdB\n8ehzYv58kxCmebmXeU9sj9guJgRNEI2/bfyAN7XRN43E/wL/J7aGby1Sa5epMWbMvw/3hn/qymY2\n3Uy0+7GdmL5rujgUfUhkZZeDm6MM0WqFOHxYiM8+E6JPH/0/bMOWXQ/d7ugoq++kSdJzUZp/wkII\nERioL2ZM9T8mKUm+QOZ437ZuNfzYxMRcL2Lt2uX/om8IWq188cq579OnF+34deuklztH/KWklNym\nXbt2lTyTf1m3Lvdlr00beT+LQny89KiBEJUrS+FkCj0TtFohfvwxt2yNGgkREVG8fL76SgiNRubT\nurUQR4+Wvr1F4d49+ZJua5srQErifd+/P9cDZWMjPerJycXLq6R1MyVFNg7mPPscHYXYuLFEWYrw\ncOmFzfkN+/kZp+EkLU3+PnKutZmZbBzNyChZvpcv63ud27aVjWHl2cCn1cqGyd69c+147DEhjh8v\ned4nT+b28gIhunWTjXvFKV9F1USFjjE9eLBsgwaUJmqMqcJUKa8xpiXhyu0rBIUHERgRyLaIbaRk\n5IYetLWwpWu9rvh7++Pn7Ye3SykO1Cpj5syR4wLpsAB6T8CtshtJ95LIyM4NI+lq60ovr174efvR\n26s31eyqGc/gUkAIOQ7o6lX5GRsrx/llZMglM1Puo9XKz8uXg3F390WrlevS0mS0xpwgJTljEHNw\ncJARa996S0YvLAkrVsjoqVlZcizZTz8Vb7xaeZGdLceG/fKLHL/8zz8y4ubDyMqCZ56RgXkaNpTB\nY0x5Ku7Vq2HgQFkXFi2S5S2MrVvlVC1ZWfD++zB7dumMnSvt8c/nz0s7L12SkWCDgmSE3MJISZHB\nto4ckWO5/vpLRpM1JcLD5Vjac+ekjXv2yDGRhiCEvG9ffCHTH3wgI4CbSsTVyEjo318GfqlUCbZs\nkWOWi8LatfK5lZ4ux8UuWybHVRaX0qqbMTEwZgxs3izTn30mr39R2btXBvtKSpLjxBcvlmMijcnd\nuzKy/BdfyGdnp05yLG/VqkXPa+dO+R+RmCjH/y5YIAMaGjNy7vbtMHasjIprZQXffCMjnReHn3+W\n/6np6bJeLlxYsoB0FVYTFaRYP/9cfo4d++Dy9tvloZmLzkOKo1AYFxPpymsoGVkZYnfUbjFl+xTR\n4ocWD3hTvRd6i7F/jxWbQzeL1Ixi9okrJ37//d/Wx97/E0xHzNk3R6Skp4i/Lvwl3tzypqj3Vb0H\nytdqUSsxdcdUsffyXpGZnWnsIhidq1eF+Osv6V1o3jy3NdfMTIihQ4WIiSlevn/9leudee890/A+\nGUJ2thD9++eO9yms6+TkyXLfKlWEuHSpXEwsMT/8IG22sJCt+A8jNlaOcQQ5HsvU7+OlS7ljzgcO\nLHz/7GwhevXK7VJX3PpeHty+LUSHDrm9DwwdA5fjKbe0lGNVTZG0NCEGD5Z2VqokxO7dhh+7bp18\nXoEcn5dpYo91rVZ6hnOeh9OmFe13tGWLHD8KcvhGaXR5Lk327cv9zT3+uHxmFIU1a3LHOz/9tBBx\ncWVjZ3FIS5N1Kud/cdasoh2v1cruwDnHjxpV/KEGeTG2Jkq+V7yuCAVa/ddf8nPJkgeXpUuLda4y\nx9g3QaEokAomTO8nNjlWLDmxRPRf0184f+6sJ+KsP7UWPX/rKRYcWCDOxZ0TWhN7Kz148N8H/sv9\nBNMRy08t19uu1WpFaHyo+PrQ18J/ub+w+cxGr3yOsx3Fy3+8LH469pOIvl1Kg4AqOGfOyD9iS0t5\nbZ2dix5U6siR3O5506aVjZ1lyZ07QjRtKu1/992C9wsJkd1bNZqivUibAjnd4Fu3LvhFXqvNFW3d\nu5vOmNnCOHs2NyjS778/fN8vv5T7ubmV3zjEkpCUJMeX54xdLOyRvHFjbkPT6tXlY2Nxyc6Ww8pA\njtE0ZFzm/v2y2y7IMfYm9helx6pVud3hv/nGsGOOHs2ty6NHl08AruJw7VpugKRGjQzvQr19e+41\neftt033GLFqU2/gxd67hx33xRe7v74cfSs8eY2mi4EvBwutrL+G+wF0IIcSZG2fE63+9bvDxj5SS\nU8JUYaqY4hjT4pKVnSUOXDkgPtr1kWj7Y1thNt1MT8jV/bKuGLVplNhwfkOxW8xKk2vX/hWmIzoJ\npiOCLz18AOPdjLsiMCxQjAscJxr+X8MHvKlNv2sqJm2dJHZG7nxkIhkXd6xURISMRlrUluLUVBlE\nD4R49VXTflF8GCdPypcJS8v8BYtWK8T/t3ffYVFc6wPHvwuC2HsFFRQrSrFgQ8WCgCWxRhMTjdEb\n0+tN/aWoicYbY3LVxMQUo1cSuyY2UFSwVxQVO0hXRMWOgLDz+2PcQQSk7bKLeT/P46O7Z3bmjBzO\nzjvnnXN8fLIvGMuamzezJ5/55pu8t/nrr+wgITHR+HUw5jOmD/vxx+wbK5cu5b3N6dPZQY3hhn1Z\nEB2d/czpjz/mv11KijrDKKijpmVBZmb2zZAePR49+nnzZvZzji++aNy+xlRtc/Hi7NHrgp4PTU5W\nlAYN1O3HjrX8vvTy5exnKEeMKLi+Z86ok1OBOmGUpZ9fQIBaVysrdZbugmzYkB3MBgQUvH1RmCsm\ncvvRTYm9Hqu4/+Suvefyg0uhP59vrQcNyv/P4MElq3R+du3apbi5uSkuLi6Kq6ursnv3bq1s+vTp\nSuvWrZW2bdsqm/L5aUtgKizV4xSYPiz5drLyx7E/lGdXP6vU+bpOjiCu3NRyivdCb2XGzhnK0aSj\nZhlN1evVC0/eaqIwGeXc1aJN9Xo+5bwy78A85YklTyiVplXKcX6Vp1dWnljyhPLjwR+V6GvRpjmB\nUlCSCyzDhCmGL9epUwv+zJtvqtu2bWv8iZRK27hx6rmMGpW7LChILate3XRLbJja2rXqOdjb5w4A\n9Hp18hFQlNmzTXN8UwamD944+L//y3ubYcPU8nHjTFYNk1myJDvwzm90asIEdZtu3Sx3pC0vly5l\nB9Rz5uS/naGv6djR+Om7pmybr76anY79qD7SMHrs5aXO5loWnDmTfdPkhx/y3y4rK3sipyeftNyR\n0od99ln2711SUv7bXbqkTnhFMSaaKwxzxUSuP7oqiqLkCEzbzmtb6M/nW+uQkPz/mGrGxO7duytB\nQUGKoijKxo0bFS8vL0VRFOXQoUNKx44dlczMTCUhIUFxdHRU0vP4DZTAVFisMp7KW1hZ+izlUOIh\n5YvtXyjdf+uuWE2xyhHINfimgTL+r/HK8ojlSkpqSqnVa+euLKXcFBuFySipGanF3k/avTRl6/mt\nynub31PazmubazS15dyWyltBbylB54LK9EzGxbF4cfbzUY9ac/DwYTWItbY2/4yfxhAXl/1sV2xs\nzrLRo9X3v/zSPHUzBr0+e3mE1atzlgUHZz87a4xnosxh167si8iHZxGOjlbbtI2NmnlR1uj1itK9\ne/6joVFR6u+ira26RGBZs3q1em4NGqjP+T3s8GH152dtbZwZU0tTWlp22mt+gfeOHWq5ra1513ou\njuXLszMt8psde+FCdZv69Uu+BFJpysoqXKbMv/6lbuPra5qg21wx0cA/Biq7Yncp7j+5K/ey7ilz\n989VnljyRKE/bz158uTJeU2K5OiY/adePXWWLzs76NABmjUzzURMwcHBODk54eLiwqFDh0hOTmbY\nsGH8+uuvtG/fnu7du1O1alW2bNmCk5MTjRs3zvH5KVOmEBMTQ3h4OKGhoYSHh5OWloajoyOgzqAW\nExMjr+V16b+Ojuba2rXsb9nSMupjotexsbF0a9eNnk160vRGU4Y1HMbQzkOpUr4K8SnxJN9NJjwp\nnBUnVzBz90xWHllJyr0UKtpU5PSh08TGxpqkfna1LvP1nv9QtVxVPvX+tNj7S4hLoLdHb3ya+dDm\nThsGNhiIr4cvNtY2xF2L4+Kdi+xL2EfA8QC+2f0N64+tJ5VUalaoybH9x0x2fpbwOiUlFBubGA4f\ndmTLFmjWLJRLl3JvP3euI8ePw9Chobi7W079i/vazc2RI0fg1KlQ9PoY/P3V8qCgUCZPjiEry5Hf\nfoPwcMuob1FfOzk5kpWlnk9kZAwvvphd/tFHMSQmOvJ//wdWVpZR36K+7tHDkU2bIDIylFu3Yhgw\nILv8q69iiIhw5JlnoHFjy6hvUV7HxsbQrZsjf/wBYWHq75uzc3b511+r5zdmDDRvbv76FvW1nV0M\nR486EhkJN26EUrFizvLPP48hKsqR118HJyfz17cor3ftCqVq1RhCQhw5fBjatg0lISHn9pMmxXD1\nqvr7V6uWZdW/oNfJyaEcPhxDTIwj5crl7j82bAjlxRdjSEtzZN48SE21rPo/6rVOB3p9KGvXqt+H\nI0bAiRM5t//1V/X7oVw5R9aty11ujPosWrSIfEI8k+rj1IdPtn1C2IUwvt7zNVY6K34e9DOVbCsV\nbgcFRa6rV6sP/Pfsqf6pVy/3XVNjiYmJURwcHJRGjRop9vb2SlxcnKIoivLiiy8qSx+YnWDSpEnK\nkiVLcn2+EKcjhFk8zqm8haXX65WjSUeVGTtnKN4LvZVyU8vlGG2s83Ud5dnVzyoBRwOU5NvGnXIv\n7EKY9nyoqWRkZig7YnYoH2/9WGk/v32u0dSms5sqr2x4RVl3Zp1yO/22yepRHMZKScvMVBRvb/Uu\n8MSJuctjYtTRC2vr3KOLZdmiReo59+uX/Z5hNuiuXc1XL2O5di17oirDyExaWvazl6acIdOU6ZIG\nq1ZlT8hicPt2dprdwYMmr4LJ6PXq5FWgKL/+mv1+Wpo60g3qBHFlleEZ5wYNcqbqXr+e3WZNNWGV\nqdumXq+utwvqBDkPOnYs+zGB1OInAZnVnj3ZMyw/3IcYZgXv3NnynyvNj2Gm3uHDc5cNHaqWvfWW\n6Y5fVmOicgUFrv/+N+zfD/eDcKKjoV8/GDq0eJG0j48PSUlJud6fNm0ac+bMYc6cOQwdOpQVK1bw\nwgsvEBwcXLwDCSEsik6nw7WeK671XPnA6wNupt9kW/Q2giKDCIwMJO5GHAHHAgg4FoAOHR0bdsS/\nuT9+zfzwtPfE2sq62MdOvJkIgH1Ve2OdTi421jb0aNKDHk16MK3PNJJuJ7E5ajNBkUFsitrE+Wvn\nmXdwHvMOzsPW2paeTXri18wPP2c/2tRpg06nM1ndSou1tbruZcuWEBCgrmVZu3Z2+ezZ6lp26giU\n+eppbAMHquceGgo3bqjrsC5dqpaNHm3WqhlF9erqOqwrVqhrJTZvDocPQ1qauo5tcdYktCSDB6sZ\nYadOwdWrUKsWbN+u/iw7dlT/lFU6HUyYAGFh6vq5Eyao769aBVeuqGuxdu5s3jqWxBNPqFl8UVHq\nORrOZckSdT3m3r1Nl+VnajodfPyxer29fLl6PW7wv/+pf48eDRUqmKd+JdW1K/j4qO1y7drstgnw\n55/q36+8Yt51Skvi00/V78N169R1kKtUUd+/eRM2blTP6733zFtHY3o98PVc7+nQoaCgQ8cc/zmF\n2k+BgWmdOtlBKYCTE9StW+h65vKoQPOZZ55hy5YtAIwYMYLx48cD4ODgQHx8vLZdQkICjSx5dXIh\nHuLu7p69erYAoGr5qgxpNYQhrYagKAqnr5zWgtTtsds5eOEgBy8cZOr2qdSwq0H/Zv3xc/bDt5kv\nDao0KNKxEm4mAOBQ1cEUp5Kn+pXrM9ZtLGPdxpKlz+LQhUMERgYSFBnEgcQDbDm/hS3nt/Dv4H/T\nqGoj/Jz98Hf2p2/TvlQtX7XU6gkYZZF4gxYt1EXdN25UF3j/+GO4kXaDxccC+C2kFVh78e675Y12\nPEtQqxZ4eanBTGAgDB+u/q3TwciR5q6dcbi7q4FpRIT6eudO9W8vL9Me15htMz82NmrwuWuXeiN+\nwAA4ckQtM/X5lYZevdS/d+xQ58/W6WDNGvW9f/2r7F74g1p3Hx81MN2yJTsw/e039e8Hgx1jK422\n6eMD5cvDoUNw+bJ6TZ6Zqd74Axg3zuRVMKlhw9TAdN267J9VfLzaVu3sYMgQ89avJBo2hG7dYPdu\n9ftw1Cj1/XXrID0devZUt3lcdGjQQQtEH6aj8J1MgYGph4d6p3TECPX1qlXqF9Tq1errYcMKfawC\nNWnShO3bt9OrVy+2bduGk5MTAAMGDOCll17irbfeIikpiYiICDw9PY13YCGEWel0OlrXaU3rOq15\nu+vb3Mm4w/bY7VogF5kSybITy1h2YhkA7vXdtUCuq0NXbKxtHrn/xFv3R0yrmG7E9FGsrazp7NCZ\nzg6dmew9maupV9XR1KgggiKDiL8Zzy+Hf+GXw79Qzqoc3Rp1w9/ZHz9nP9zquZW50dS33lK/iH/4\nQb0j/P2B7/kk5BMYArqBlZh8pg9+WepocdMaTc1dXaN48kk1MA0IPs42m99Jb9GBOjf706BBGR9O\nvK9tW/XviAhQFIWgg+fAxp4ePQr53JCF69JFDUz37QNP7ytsPR0NVu54eDy6bykLWrdWA5qLFyEy\nEi6V38XhC5UBN7p1K1t9S1769YOfflID0wlvJvH30VAORXlSqVJTo16jmkOlSmoAExwMmzdDTc9A\nQvdfI+mmD82b1ynTo92gxhcvv6yeX3zKZZac+p1TO1qDTR8GD65E1dK9R2t0w4apgemaNWDn9jeH\nkw6zdWNfsOrKU0+V/b7lQc+7P2+U/egURckd2j54oPvHMVwXGe62Gfz+u1HqAcCePXt45ZVXuHfv\nHuXLl+enn37SAtDp06cTEBCAlZUVs2bNwtfXN9fndTodBZyOEGYR/u23uK9fD9u2mbsqZVJkSiRB\nkWoQty16G3cz72plVWyr0K9pPy2Qa1QtdzbF+L/HszB8Ib8M/oWJ7SeWZtULpFf0hCeFa6PFe+P3\nkqVkaeX1K9fHz9kPv2Z++DTzoWaFmkavQ2hoqFHv/iuKejF85oya3vr7tedZdHQR3KkDlS7n2LZF\nrRbaTYZeTXpRwaZs5qXt3KleQNZ8aSQp9Veqbyo6Otp30Nqmp70n5awKvB9skaKjoWlTqF8f5m5Z\nzciVwyHTFq9GPRnS1nQp6cZum/lZtUq9Ad+/P6SO7sGuuF2QVpV+TfvxVHu/fPuWsmLECPUcP/7h\nINMv37+xf6s+z3b1Y1BL0/UtpSElRX1kwMYGhiwew/JTah5o+dstmNTXdH1LabXN776Dd96B4eMu\nsqapA3pFD4qOBkoHJnir51eW+5b27dUMhVHzP2HZxWnqm5m2uFbvwdiu/mX6cRdDv1m5igIfVeV2\nxm21IK0qA1r3Y4iL6foWc8VEg5cMzjFyqkOHXTk7OjbsyOuerxf4e1hgYFqWSGAqLJUEpsaTlpnG\nztidBEUFEXgukFNXTuUod6njogZyzn70aNyD8uXK47PYhy3nt7DxmY34N/c3U80L53radbae36qN\nFhtGewGsdFZ0tu+sBXIdGnbASmdV4mOa4gJr4kQ1ne7772FNlX5sjd4KAYFMebUdDr02ERQZxOao\nzdxIv6F9xq6cHb2a9NICuRa1WpSZi5GzZ9Vna8u/5kl67YNwoT1W9U+gt0rXtqlhVwOfZj7as8VF\nTUk3J70eqlaFO3fgmQUf8mfcf3JtY0hJ93P2o1/TfkZJSS+ti//ERHBwgKrVFDLfq0xqZmqubQx9\ni7+zP16NvShfruykpM+dC2+8AV1f/p299V4AvRVY6bVyU/UtpaVTJzXdtdnX7YlKPQL37MAmTSs3\nRd9SWm3z1Cn1We7q7XZzfbgX1vqKZOmzoNzj0bd8/jlMnQrOHzxNZIWl6G42QqmSALrs63lT9C2l\nxcMDws9egffrYKMrz73kplAn7+sWY/YtRYmJVqxYweTJkzl9+jQHDx6kffv2AMTExNC6dWtatWoF\nQNeuXZk3b94j9/VG4Buk3E1hlMsoFBRWnlxJJdtK6NBxOfUyK0aueHS9CwpMz51TJ6yIj1e/mNST\nVR9UtjQSmAqLtW0bfPmlBKYmEHs9Vh1NjQpiy/kt2XckgYo2Fenj1IcDiQdIvpPM0ZeO4lrP1Yy1\nLRpFUYhIjtDOb2fsTu7p72nltSvWxreZL37OfvRv1p+6lUowAYCR/fe/8PbbMGkSbG/XmtNXTsO8\nY4QFtuP+dx6Z+kz2J+zXbjKEXQzLsQ+n6k7axUgfpz5Utq1shjMpnBs31EmCdO/ao1S5AN/FMnJg\nbZ6fHKqN9p9LOZfjM2713LQJvro16lZgSrq5de4MBw5AozeeI75mAO6XvuH9lxtqKenJd5K1bcti\nSnqjRpBw5Tp8WAMyKtFu5wle/fbRfYvh/Cw9Jf3YMXWio2qDv+BGh89g54f0rPkMg95UMzV2xe0q\nM31LXj76CGbMgIqf1SPVKhm+i+X5N+Jx6F32+xZFUed3ia28HEaOolbyUK7+spivlmwnsWL24y4P\ncqvnpgU6lt637N+vptJXeLUHd+vsgoXbqHDTld9CgwmKCsy3b/Fr5od/c3+L71vefBPmLDsKL7vT\nsJwLFz6JYMSEWPq9ZNq+pSgx0enTp7GysmLSpEnMmjUrR2A6ePBgjh8/Xujjdv61M/sn7s/xXpdf\nu7B3wl6az21O5BuR+Xzyfr0LCkxbtoRXX1WfL7G6f/NMp8t+mN6SSGAqLJYEpqUiIyuDPfF7tEDg\n6KWjOcqvvn+1zKarAdxKv0VITIiW9htzPUYr06GjQ8MOWtpvZ4fOZk3t2rJFnbije3c4OqAqt+/d\notLcFK4n1aBcPtVKvpPM5qjNBEYGsilyE1fvXtXKbKzUWY8NFyMudVws6mJEUaBCpUzS3yuPzkpB\nmZrOm6/b8N//Zm8TlRKl/exCYkJIvZc9KmdISTdcLDeuZnnTFhtGwRnXG5xC+aTxZr4Y7wPkTEkP\nigxiT/yeUk9JL6mRI2Hl9hPwalu40pJ/pZ/m55/Vsgf7lsDIQI5dOpbjs81rNtduMng7eltcSrpe\nrz5nmtLtJeg4HzbO5b1er/H112q5oW8JjAwk8FwgsTditc9aWt+Sl02bwG9gOnxqh06xRpmazqKF\n1owdq5aX5b4F1Ilzlsd9B37vUPnE69xeMYfIyOwZhwt63KVv075aoGNpfcu1a1CzJujeaopSPRrm\nnqFZ9RZE3o9f9Iqeo0lHtSyista3TJ0KnwdsgDGDaGHdn7OfbuLtt+Hbb9Xygq5bitu3FCcm6t27\nd4kD0+ZzmxMyLkSbbDLhZgK9F/Xm3Ovn8JjvwZFJRx5d74IC065dYe/eQtfHrCQwFZZKUnnN48Kt\nC2yK3MTm85tpWaslk70nm7tKRqMoCmevntW+rENjQknPyk7tqm5XHZ+mPvg7++Pr7EvDKvlP/2eK\nlLSkJGjQAKrWucnNV6vBvQr0O3CH4M2Fu+DL0mcRdjFM+7Len7hffbbqPoeqDtrFSL+m/ahmV82o\n9S8OhzYJJI5qRPl79UiflsS0aeqsxHlJy0xjV9wu7ed38vLJHOVt6rTRRjwMKenmZhgF5/UWUOsc\nR188gWuDNnluW9iUdD9nPzo27Jhv2mhppUsCLFgAE6Zvguf84Hwf5nXZyssv572toW8JjAwk+Hww\n19Oua2WGtFHDz89SUtKffx4WZQyGluth6Rp+/2CINo/IgxRF4czVM9rvXkn6ltKSkgK1msXAW07Y\n3LXn3n8S2L1bnRX1YQ/2LYGRgRxIPJCjb7GvYp9jlvTqdtXzPGZpts1PPoFpB9+Fbt+i2zIDdn/A\n3bvqjL0PK+hxF0Pf4tfMj55Nepq9b1EUqFhJIe1dOyiXAdNu092zErt25b29oW8xnF9x+5bS8v33\n8PrCn2HwJFyzxnPsiwVMnaouJ5OX4vYtoaGhhIaGattOmTLFKIFpu3btaNasGRUrVuTLL7+kT58+\nj9zHmlNreGXjK7Ss1RKA01dO88OAHxjQfAA/HvqRd7q+88jPFxiYLl4MMTHqrGcP/gIYUrEsiQSm\nwlJJYCpMLfVeKttjtmtf1g+njbrWc9XumHdr1A1ba1utzBQXWIqijtBc1Z2C19rAVWem1D7HZ58V\nb39XU6+y5fwWLdC5dOeSVmats1ZTu+5/WbvVdzPLxYiL7z5OdutK+asdSJ97iF9+UUcZCyPuRpwW\nCGw5v4VbGbe0soo2Fent2Fv7+TWraZ6FGdVRcAU+rgy2qdz48EahnvVSFIUTl08QeC4w35T0/s36\n4+/snytttDQv/hUF+ry7gNBqE+Doc+x9/3906VLw5x5MSQ+KDOLQhUM5yh2rO2pt05xpo+vXw+D1\nHtAgHH4+wP41nSjMAgcl6VtKk33X3Vzw84KEzvDrPi5dKtzyhoXtW/yc/XCv7671LaXZNv/3k+RE\ncgAAIABJREFUPxi3bjS0XQarF9Pg8rNcuFC4z8Zej2VTlBro5JU2agl9S9O2l4keWRc7pTppU64x\nYoS6PFVBStK3lJY//oBnf/0cvKfS4fanhH0zlblz4bXXCv5spj6TA4kHtLZZlL7l4ZjIx8eHpKSk\nXMeYPn06gwcPBnIHphkZGaSlpVG1alWOHDnCoEGDOHHiBNWr532zxiD1XioRyRHo0NG2btsiZZAU\nGJh++KEanDo7Z6fyAoSEFPoYpUYCU2GxJJVXlLKolCjtYmRb9LZcaaN9m/bVJspoUr2JSerg7Q3b\n44NhbH+I9ubkByG0bl3y/eoVPccuHdMuRnbH7c6R2lWvUj18nX3xd/bHp6kPtSrWKvlBC6HTuFUc\najoCzjwBS/7m77/hiSeKvp+MrAz2xu/VAoGHU7ucazprF5Lejt5UtKlopDN4tMuXoUHTa2T9uyaV\nbSpz6+NbBX8oD7czbrMtelueKemgrodnSF0r7bTRqaFf8Pn2z2hz9SOOfjs937TzRzGkjQZFBrEp\nahNXUq9oZQ+mjfo5+9G2bttSG01NT4cKn9VFqXgZZiVyM7EhVaoUfT+GlPSgqCCz9S156f7iMvbY\nj4aTw6gSuIobN4q+RqshbdRwfvn1LX7N1GdvS6tv2bsXuv3SA5rsgoUhdK7nzb59Rd9PQWmj5upb\nOg4KJ6yTB5VTXbj9dQSvvaZO2FVUlti3bNwIA+dPgPYL6Jj0E4d+mkRAAIwZU/R9FaVvca3vWuIR\n04f5+voyZcoUujzijp2iKOyI3UHcjTj0il7r38a6jS1UHQoMTJ2d4eRJsDXPDbAikcBUWCwJTIUZ\npWem50gbPXH5RI7y1rVbZ6eNNumBXTk7oxz3tdfgh90LYch4aiaM4eovAUbZ78NupN1ga/RW7WIk\n4WaCVqZDh6e9p3ax1bFhR6ytrE1Sj+7vzGFPtTfhwCuw8Qf27qVQI24FMaR2BUWpMxk/mNpV3ro8\nvRyzZxttWaulSQOd39ZFMPFwO1rWasnp106XeH+GlHTDzy6/tFE/Zz98m/liX9W0axFPWj+Jn8N+\n5nv/73nV89US7y9Ln8Xhi4e1372HU9INaaOG2UbzSxs1hvTMdOym2YHeGoeF6cTHlvz3ID0znZ1x\nO7Wf38Mp6abqW/Ly5IxvWZv+Lux/HY+kORw+XPJ9WkrfcvUq1P7CCWrEwJyzPNWvOcuWlXy/helb\nDM/emrJv8X5xA9vtB2Eb50vGgqBHPgZRWJbSt+zbB11/8APnTXicWseRZYPYsAEGDCjZfg19i+H8\nHu5bmEyxAtNvvvmGDh06AJCSkkL16tWxsrIiJiaG7t27c/ToUWrXrp3vPkauGEnizUTc67vn+H2Y\n61+4Ow0FBqbDh8P8+eoaUZZOAlNhqSSVV1iSuBtx2sVIcFRwnmmjhotl55rOxT7O/Pnw0h/ToO8n\n9LP7gOAPZhij+o+kKAonL5/Uvqx3xu0kIytDK69VoRb9m/XXLkbqVa5ntGN3+/x99lrNhK3TYOfH\nREWpa9gZkyG1y3B++aV2+TVTZxutUr4YQ2KPsClyE35/qPveOnarUfcNagrYjtgdWiB39urZHOWu\n9VxzzDZq7LTRQX8OYsO5DawZtYYhrYYYdd8AKXdTCI4K1tJ+k25np9ZZ66zp2qirFug8mDZqDNHX\nomk6pynccGBoTDyrVxtt1xpD32JIG32wb6lQrgK9nbLTRkvSt+Rl9IJ3WRb/LQT/h5EN32f5cqPu\nXutbDG1ze8x2MpVMrdyUfYuiKFh9ZngG8w7/frMiM2cabfdAwX1Lk2pNtNFGY/ct/T+eT3D5l+Dw\nC7D2N377DV54wWi7B8zXt5w5A61mt4N6EbjsPMKJre7s2aPO4WNMD/YtW89vJf6d+ELHRGvWrOGN\nN97gypUrVKtWDQ8PDwIDA1m5ciWTJ0/GysoKRVGYPHkyw4cPf+S+WsxtwZnXzhT7JkaBgWmvXuo0\n4506ZT9jWtLlYvJbLwfgq6++YvHixVhbWzNr1iz69+8PQFhYGBMnTiQjI4N+/foxe/bs3Ccjgamw\nUBKYCkt1L+se89bN41KVSwRGBhKeFJ6j3Lmmsxbo9HbqXaTUrt27weurl6HTT0z3msNHfV83dvUL\ndDvjNiHRIVpabPT16Bzl7Ru01y5Gujh0KVFqV6cZYziU/iesWQhHx3H7NlSqVMITKEDynWSCo4LV\n2UbzSO3yauylnZ8x0kYXHFnAhLUTGOs2lkVDFpW0+gX6M/BPrte+TlBkEFujt+ZIG61sW5m+Ttmz\njRojbdRjvgfhSeEcmHiATvadSry/R1EUhaOXjmqBwJ74PWTqswOdB9NGfZr5ULtiyUYIdsXtosfv\nPWhVuTPbntlHAxMvdXkv656aNno/CDdm35KX4UtHsfrMclgVwEeDxjB9eol2V6DArYFkOmSWSt9y\n+c5l6n5TF+5Wh/9cK/QziiVRUNqoMfsW3xmfsTn9C9j+KYRMZeNG8DfxkuPnr53XUppN2bckJ0O9\nb2tAhes4rUwmOqIOp07B/aVBTUJRFC2YLG2jV45mtt/sYt+YKTAwfWCCp+wPlXC5mPzWywkLC+Ol\nl15i3759JCUl4eXlxdmzZ7GxscHV1ZVFixbh4eHBkCFDGDduHEOHDn2oXhKYCgslqbyijLh46yKb\nojYRFKmmdl1Lu6aVlbcuT88mPbUv61a1Wz3yYiQjAxp/8ASXqq9j1VOrGNZ6WGmcQr4UReFcyjnt\nYiQkJoS0zDStvFr5ajkWqS9qalfbb7w5cWc7LNpCxUt9uXPH2GfwaHpFT9iFMO35uH0J+3KkdjWs\n0lC7kCxu2ujU7VP5PPRzPvL6iOl9TXzl/xBDSrohEHg4Jb1V7VZa2+zZpGex0kbrzqzL5dTLXHjn\nAg2qmDhye8iNtBtsi96mjejE34zXygxpo4afX3HSRpdFLGP0qtEMaz2MVU+tMnb1C2ToWwIjA/NM\nG+3ZpKd2fgX1LXnxWuDF7vjdsDCE3z71NvqI26M82LcY0kYf7lv6Ne2nzWRsWEqjsI5cPEL7n9vD\npbbw4/FiP79eXKbuW/rOnsC26wtg3U8QNokjR8Dd3dhnkT9T9i03UlOpPrMSZNpS88c0Uq7qSEqC\nesYbUM+TuWIi74XehCeF42nvqc34rEPH2qcLN6JZYGD6sJ07YckSmDev6JV92MMP2U6dOpVKlSrx\n7rvvAjBo0CA+/PBDGjduzIABA4iIiABg5cqVBAUF8euvv+Y8GQlMhaWSwFSUQVn6LDW16/6Ix8HE\ngyhk97FNqjXRUn77OvXNM7Wrw88dOHzxMPsn7sfTvhBTgJaiu/fu5kjtOnP1TI7ydnXbaRdb3Rt3\nLzC1y+FrZxLvRsH3p3Cs3Iro6EdubnIpd1PYcn6LFohfvH1RKzOkjRqCcI8GHoVKGzX2M5glEX8j\nXrtQ3nJ+CzfTb2plhrRRw/NxhUkbNTyDaa2zJv2TdJM9L1gYiqJw6sopbYKvHbE7cqSk16xQU5tt\ntLBpo9/u/ZZ3N7/LG53fYLZf7qyz0pSpz+Rg4sEcs43m17f0cepTqNmfnWY7EXM9BofVZ9m7oTkO\nRYv9jOruvbtsj92u/e493Le0rdtWC3S8GnsV2LesP7uewUsGQ6QvBAQRHg5ubqY8g0crqG/p4tBF\nO7/C9C1dvvdj/9VN8Md6ODeQixehfn1Tn0X+4m/E55jJuCR9y7mr52jxfQu45gSzzwPqRGSmnrvH\nXDFRaExo7rqgo5dj4UY0C5VXcPiwGowuXw5OTupzp6aQmJiYY30cBwcHEhISsLa2plGjRtr79vb2\nJCQk5LULnn/+eRwdHQGoXr067u7u2nTehvV95LW8Lu3X4eHhNLl+naMPTC9vSfWT1//s14Z/51fe\ntVFXetOb642vk9oglcDIQNafWk/sjVjmh81nfth8rHXWtKvajtEdR+Pf3J+rJ6+i0+m0yUJiI2JJ\nPZdqEef74Gtfb198nX0JDQ3l4t2LatpoVBCbz23mePJxjicfZ+aemVSwroBHdQ+e6/Icfs5+xITH\n5NhfSEgIyWn3R7hu2mNXO5TQUPOf31PeT/GUy1OEhIQQdSeKK9WvEBQZxK64XdqfT0I+oYZNDTrV\n7MS47uPo36w/EQci8txf4k11zcDrcdcJTTV9f2Z4L7/yf3n/i391+Bdbtm3hxM0TXKpyiaDIII4k\nHWHjuY1sPLcRgqChXUM8a3oysddEvB29ObjnYK79XbyrXlw3qNKAnTt2muR8Cvt6+/btALzr/S7v\ndnuXwK2BhF8PJ7FCIoGRgZy/dp6lEUtZGrEUgOaVm+NZ05NJfSbRxaELu3fuzrX/fVHqNK72VezN\n/vu3a4e6SOXU3lOZ2nsqf23+i0PXDhFrG8umyE05+pZyVuVoW6UtnjU9eaX/K7jWc9X+fwz72xay\njcQbats8c8ieA7tDiYw07fmEh4fz1ltv5Vm+f/d+7LDjv37/BdSU9IPXDhKli2Jb9DYikiOISI5g\n5p6ZVLKphFtVNzxrevLmgDdxrO6Ya38hh+4vhXFTzeKIiwvl2jXz/fyO7T9GXeqy4MkFKIrCbxt+\n40DKAc7qz7I7frf255OQT6hbqS7uld3pVKMTbw1+i9oVa+faX+Kt+4H7LXusrODkyVBOnzbf+UUd\nicIZZ1Y9tUp73OXgtYOczDiZq29pVqMZ7Sq0o3PNzrw++HUq2VbKsT9tndWb6lIuFSvCnj2lcz7m\n4O3oneP1ztidLIlYUujANN8R0zNn1GB02TJ1LbqRI2HmTIiLK1zFirNezqRJk+jTpw+jRo0C4KWX\nXsLb25smTZowdepUAgMDAdi7dy9TpkwhKCgo58nIiKmwUPKMqbBkoQ/cMCksvaLnyMUj2ojH3oS9\nOVK7GlRugJ+zH7+H/46Vzor0T9JLddmPkkrPTGd3/G4tNS8iOSJHeavarbTn43o59uJOxh1qz6wN\naVVhxg0GDYJ168xU+UK4mX4zxyL1D6eNdrLvpI14dGrYSRs9dP/JnaOXjnLwXwfp2LCjyetZnLYJ\natro5qjNWtpoXinphhG51rVbo9PptGcwuzh0Ye+EvUY8C+NSFIXIlEitbeaVkt6vaT/t/Axpo6NW\njmL5ieUEDA1gjGsx1qooJXpFn2O20YfTRg19iyFttEaFGiTfSabeN/WoYVeDlA9SSqWexW2bhr7F\n0Hc+3Le0rNVSO7+eTXpSwaYCn4V8xhc7voDQz6gSNqVYS+GUluL0LTX+U0NN7f46mfpV63Dx4iMO\nYGaGvsUwk3HK3ez2Zmttm+Nxl9a1W/PH8T94bs1zEDEKVi7F3h7yGVszKnPGRIcvHmZJxBKWn1iO\nU3UnhrcezuudCzfHRL6BqZUVDBoE338PjRur7zk5YdTUpIcD0y+++IIKFSrw73//G1BTeT/66CMa\nN26Mv7+/lsq7YsUKNm3aJKm8ouyQVF7xmLt295qa2nU/7ffCrQtamX0VexLeKYVvYhNKuJmgpa0F\nnw/Oldrl0cCDPfF70F1pjfL9SV54AX77zYwVLgJD2qghEMgvbdSvmR/vbH6HlLspZnkGs7iy9Fkc\nvJCdNvpwSnrjao3xc/ajvHV55h6Yy/DWw1n51Eoz1rhoDCnpht+901dyLuPTtm5b/Jz9WH92Paev\nnCZ0XGihRy8swbW71wg+H5xn2qiVzoouDl1oV7cd88Pm07ZuW46/fNyMtS26gvoWb0dvLt25xOGL\nh2l6Yj4D6r1YrDU+zaEwfUu/pv1YfmI5ZNnCF2l4eOiMstRPaShM31KzQk114q8978DmWbRtC8dL\noYmWdkx05soZlkQsYdmJZdSpWIeRbUYyc89M4t4u5IjmffkGpn/9pY6Y7t8Pfn7qiOmECRATY4zq\nqx5eL8cw+dHevXu1yY/OnTuX5+RHY8eOZdiwnBNpSGAqLJYEpuIfRFEUjicfV5dUiN3Oky2f5MUO\nL5q7WkZzL+se+xL2aYHA4YvZV1EVEn25+0sQH34IX31lxkqWwJ2MO4TEhGgXk+evnc9RXs6qHGn/\nl2bWZzBL4krqFW220aDIIC6nXs5RbgnPYJZE9LVo7fm4ree3cudezlm4zr1+zuhLtZQWRVE4dumY\n1jZ3x+/OMZOxbzNfgp4NesQeLJuhbzEEOkeSjuQoX//0ega2GGim2pXcnYw7hMaEEhgZmKtvsb3T\nlIyZUfj7w8aNZqxkCTyybwn6Dva9RY8esGOH6etS2jGR1RQrBrUYxPcDvqdxNXVE02m2E9FvFm1E\ns8DJj27fhr//VoPUkBAYOxaGDoX7q7gUS37r5YCa6hsQEICVlRWzZs3C19cXyLlcTN++fZkzZ07u\nk5HAVFgoSeUVlqy4KWlClXQ7ic1Rm9mfuJ/tc8ZyYlNnvv0W3n7b3DUzjnNXz2mTDIVEh+DTzIe/\nR/9dKsc2dds0pKQbAp0zV8+wZPgS+jXtZ7JjlqaMrAx2x+0mKCqITZGbaFilIeueXldmbyo87Gb6\nTW0m40MXDvGx18cMb2OiiVAeUhr9ZtLtJG1d2IysDP4Y9gcVbCqY9JilKTIlksBzgeyI20Hk+iGE\n/29Mmco2eZQH+5bF62I488MMuFuLJ55Q4ypTK+2Y6K/Tf7EkYgn7E/bj5+zHyDYjmbB2AjFvxRRp\nP0WalTclBVauhKVLLfP6WgJTYakkMBWWTAJT4xk+HFavhj//hKefNndtjE+v6As1e6+xSNsUlkra\npnG99BLMnw8ffwzTppm7Nsb13nvwzTfqv8eNg4ULTX9Mc8VEtzNu8/fpv1kSsYSQmBDGuo1laKuh\n9G9WuBHNIn271KwJL74o19ZCFJV7aS7IJUQRycWV8XzwAbz6Kgwsu9l2j1SaQSlI2xSWS9qmcT35\nJDRqBP7+5q6J8dWsmf3vGjXMV4/SUNm2MmNcx7D+mfXEvx2PR30PZuyaUejPl50pEoUoy6pVA1dX\nc9dCCGFinp7qHyGEEIXn71/4lT/KmgeD0cc9MH1QzQo1ebHDi0WaY6J0b30K8Q8VeusW/Pe/5q6G\nEHky55pnQjyKtE1hqaRtisL6pwamxSGBqRBCCCGEEEKYwD8plbekijT5kaWTyY+EEEIIIYQQluLQ\nIejUSf33+vWlMwdBWY2JZMRUCCGEEEIIIUxARkwLTwJTIUqBPIsiLJm0T2GppG0KSyVtUxSWPGNa\neBKYClEKwsPDzV0FIfIl7VNYKmmbwlJJ2xSFVa0a6HTqvyUwfTSzBKYrVqzAxcUFa2trwsLCtPc3\nb95M+/btcXV1pV27dmzatEkrCwsLw8PDAxcXF958801zVFuIYrt+/bq5qyBEvqR9CkslbVNYKmmb\norCsrKBrV3B2htq1zV2b3N555x3atGlDmzZtGDRoEFevXtXKvvrqK9q0aUO7du3YvHmzyetilsC0\nXbt2rFmzhp49e6Iz3EIA6tevz6ZNmzh27BhLly5l3Lhx2oO748ePZ8GCBZw4cYLY2FjWrFljjqoL\nIYQQQgghRKHt2AEnTkC5cuauSW6DBw8mIiKCkydP0rZtW7788ktAHRRcvXo1x48fJygoiEmTJpGR\nkWHSupglMG3VqhUtWrTI9b6rqyt16tQBwMXFBb1eT1paGnFxcej1ejw8PAB49tln2bBhQ6nWWYiS\niImJMXcVhMiXtE9hqaRtCkslbVMUhbU12NqauxZ56927N1ZWakjYvXt3EhMTAdiwYQOjR4/G2toa\ne3t7XFxcOHDggEnrYoFxu2rlypW4ublRoUIFEhISaNSokVZmb29PQkJCnp97cARWCEuyaNEic1dB\niHxJ+xSWStqmsFTSNsXj5ueff2b06NEAJCYm0qdPH63MwcEh3/jLWEwWmPr4+JCUlJTr/enTpzN4\n8OBHfvbkyZN8+OGHBAcHF+mYZXG9HiGEEEIIIYQwlcLEZdOmTcPW1pYxY8aUdvU0JgtMixpUGiQk\nJDB06FAWL16Mk5MToEbo8fHxObZxcHAwSj2FEEIIIYQQ4nFVUFy2aNEiNmzYwLZt27T38oq/Hsxg\nNQWzLxfz4Cjn9evXGThwIDNmzKBr167a+40bN8bKyoojR44A8McffzBgwIBSr6sQQgghhBBCPC6C\ngoL4+uuvWbt2LXZ2dtr7AwYMYNmyZWRmZpKQkEBERASenp4mrYtOMUP+65o1a3jjjTe4cuUK1apV\nw8PDg8DAQL788ktmzJhB8+bNtW2Dg4OpXbs2YWFhTJw4kYyMDPr27cucOXNKu9pCCCGEEEII8dho\n3rw5GRkZ1KxZE4CuXbsyb948QE31DQgIwMrKilmzZuHr62vSupglMDWFoKAg3nvvPbKyshg3bhwf\nfPCBuask/qFeeOEFNmzYQN26dTl+/DgAKSkpjBo1ikuXLtGgQQOWLVtG9erVzVxT8U8UHx/PmDFj\nuHbtGhkZGUyYMIH3339f2qgwu7S0NHr06EFmZiZ37txh4MCBfPfdd9I2hcXIysqiY8eOODg4sG7d\nOmmbwmI4OjpStWpVrK2tsbGx4cCBA2WyfZo9ldcY0tPTefnllwkKCuLYsWOsXLlSS/sVorSNHz+e\noKCgHO99/vnnDBw4kGPHjuHv78/nn39uptqJfzpbW1vmzZvH8ePHCQsL49dff+Xo0aPSRoXZ2dnZ\nsWPHDo4cOcLJkyfZu3cvISEh0jaFxZg9ezZt2rTRVoCQtikshU6nIzQ0lCNHjmhLupTF9vlYBKb7\n9+/HxcUFe3t7ypUrx6hRo2SdU2E2PXr0oEaNGjne27hxI8899xwg6/AK86pXrx5t27YFoHLlyri6\nupKYmChtVFiEChUqAJCRkUFWVhZ169aVtiksQkJCAhs3bmTixIna/CjSNoUleTgJtiy2z8ciMH14\nlqjSWGdHiKK4fPkytWrVAqB27dokJyebuUZCqAvEHzx4EC8vL2mjwiLo9Xrc3d2pV68evXv3xsXF\nRdqmsAhvv/02M2fOxMoq+9JZ2qawFDqdDh8fH1xdXfn++++Bstk+TbZcTGkypFQIIYQonNu3bzNi\nxAhmz55N1apVzV0dIQCwsrIiPDycGzdu4OvrS0hIiLmrJATr16+nbt26eHh4EBoaau7qCJHLvn37\nqFu3LpcvX8bPz49WrVqZu0rF8liMmD68zk58fLzJ19kRoijq1KnDlStXAPUOVt26dc1cI/FPdu/e\nPYYPH86YMWMYMmQIIG1UWJZq1aoxcOBA9u/fL21TmN2ePXtYu3YtTk5OPP3002zbto3nnntO2qaw\nGIa2V6dOHUaMGMHBgwfLZPt8LALTTp06ERERQWJiIvfu3WP58uX4+/ubu1pCaAYMGEBAQAAAAQEB\nsg6vMBtFUZgwYQJt2rTh7bff1t6XNirM7erVq9y6dQuAu3fvEhwcTLt27aRtCrObPn068fHxREdH\ns3TpUvr06cPixYulbQqLkJqaSmpqKgB37twhKCgIFxeXMtk+H5vlYgIDA3nvvffQ6/U899xzfPTR\nR+aukviHevrpp9m+fTtXrlyhXr16TJ06lSeffFKbsrt+/fosX77c4qfsFo+nXbt20bNnT1xdXbXH\nIL766is8PT2ljQqzOn78OGPHjkVRFNLS0njmmWf47LPPcix5IG1TmNv27duZNWsWa9eulbYpLEJ0\ndDRDhgxBp9ORmprK6NGjmTp1aplsn49NYCqEEEIIIYQQomx6LFJ5hRBCCCGEEEKUXRKYCiGEEEII\nIYQwKwlMhRBCCCGEEEKYlQSmQgghhBBCCCHMSgJTIYQQjw1ra2s8PDy0P3FxceauklGEhoYyePDg\nHO89//zzrFq1ykw1EkIIIYyrnLkrIIQQQhhLxYoVOXLkSJ5lhknoDcvklHU6ne6xORchhBBCRkyF\nEEI8tmJiYmjZsiXPP/887u7uJCQkMHXqVFxdXWndunWONa8/++wznJ2d8fb25umnn2bWrFkAeHt7\nExYWBsCVK1dwcnICIDMzk9deew03Nzdat27NnDlzAHV009vbm9GjR9OiRQtGjhypBcW7d++mY8eO\nuLu74+npye3bt+nVqxdHjx7V6uHl5cXx48cLdX6KohAWFqaNELdr1w4rK/lqF0IIUfbIiKkQQojH\nxt27d/Hw8ACgadOmfPvtt0RGRvLnn3/SoUMH1q5dS2JiIseOHUOv1/Pkk0+yZcsWKlWqxF9//cWp\nU6e4d+8ebm5udOrUCch/ZHLevHk0aNCAo0ePkp6eTrdu3fD39wcgPDycM2fOULduXbp3786OHTvo\n0qULo0aNYsOGDbi5uXH37l1sbW2ZMGECCxcu5LvvvuPs2bOkp6fTrl27XMfbuXOndm4AcXFxDB48\nmA4dOmijxO+//z4DBgww+v+rEEIIYWoSmAohhHhsVKhQIUcqb0xMDE2aNKFDhw4AbN68mc2bN2sB\n3p07d4iOjub69esMGzYMGxsbbGxseOKJJwo81ubNmzl37hwrV64E4ObNm5w/fx47Ozs8PT2pV68e\nAO7u7sTFxVGxYkUcHR1xc3PT6gowYsQIvvjiC2bOnMmCBQsYP358nsfr0aMH69at016PHz9eG4kF\nWLZsGYcPHyY4OLjQ/19CCCGEpZDAVAghxGOtUqVKOV5/+umnvPDCCzne++abb3IEeQ/+28rKCr1e\nD0BaWlqOz/3000/07t07x3uhoaGUL19ee21tbY1er8/3edCKFSvi4+PDX3/9xYoVKzh8+HARzk4V\nERHBlClT2Llzpzx3KoQQokySB1GEEEL8Y/j6+vL7779rAealS5e4cuUKXl5e/PXXX2RkZJCamsr6\n9eu1zzg4OHDo0CEA1qxZk2Nf8+fP14LW6Oho7t69m+dxdTodrq6uxMTEEB4eDqijtVlZWQBMnDiR\nN954A09PT6pVq1bo89HpdFy/fp2nn36axYsXU6tWrSL8bwghhBCWQ0ZMhRBCPDbyGi188L3Bgwdz\n8uRJ2rdvj62tLeXLl2fp0qV06dKFIUOG0KZNGxwcHOjUqZM2avree+8xfPhwfvvtN/xF3CajAAAA\n+klEQVT8/LT9vfrqq8TExODi4oKtrS01atRg7dq1+T6Tamtry7Jly3jhhRfQ6/XY2dmxdetWKlWq\nRPv27alWrVq+abyPmoF37dq1xMXFMXHiRG3b4oy6CiGEEOakUx7MVxJCCCEEU6ZMoXLlyrz77rul\ncryLFy/Ss2dPzp07VyrHE0IIISyNpPIKIYQQeSitZzX/97//4eXlxbRp00rleEIIIYQlkhFTIYQQ\nQgghhBBmJSOmQgghhBBCCCHMSgJTIYQQQgghhBBmJYGpEEIIIYQQQgizksBUCCGEEEIIIYRZSWAq\nhBBCCCGEEMKsJDAVQgghhBBCCGFW/w+3fFH/zYB2awAAAABJRU5ErkJggg==\n",
"text": "<matplotlib.figure.Figure at 0x4407450>"
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAA6wAAACcCAYAAAB7qSZ0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRERERMSUlLCKiIiIiIiIKf0FRSmUaAF3lh0AAAAASUVORK5CYII=\n",
"text": "<matplotlib.figure.Figure at 0x4435450>"
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAA6YAAACcCAYAAABsi7a9AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text": "<matplotlib.figure.Figure at 0x4b061d0>"
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAA7YAAACcCAYAAABLJTdVAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text": "<matplotlib.figure.Figure at 0x46c0650>"
}
],
"prompt_number": 4
},
{
"cell_type": "markdown",
"metadata": {},
"source": "**Conclusion:** These do not fullfuill the requirements and thus cannot be used. There is too much energy after the new Nyquist frequency even with a large number of tabs thus aliasing will likely be introduced."
},
{
"cell_type": "markdown",
"metadata": {},
"source": "### Step 3: The current state of decimation in ObsPy"
},
{
"cell_type": "code",
"collapsed": false,
"input": "def design_chebychev():\n df = original_sampling_rate\n # Plot the used Cheychev filter.\n nyquist = df * 0.5\n # rp - maximum ripple of passband, rs - attenuation of stopband\n rp, rs, order = 1, 96, 1e99\n ws = new_nyquist / nyquist # stop band frequency\n wp = ws # pass band frequency\n \n while True:\n if order <= 12:\n break\n wp = wp * 0.99\n order, wn = signal.cheb2ord(wp, ws, rp, rs, analog=0)\n \n order, wn = signal.cheb2ord(wp, ws, rp, rs, analog=0)\n b, a = signal.cheby2(order, rs, wn, btype='low', analog=0, output='ba')\n \n return b, a\n\nb, a = design_chebychev()\nplot_frequency_response(b, a, \"Chebychev filter currently used by ObsPy's decimation routine\")",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAA6YAAACcCAYAAABsi7a9AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQmCC\n",
"text": "<matplotlib.figure.Figure at 0x44242d0>"
}
],
"prompt_number": 5
},
{
"cell_type": "markdown",
"metadata": {},
"source": "This is quite good but it unfortunately introduces a phase shift which cannot be corrected by a simple delay - it is not a linear phase filter. What happens with a zero-phase Chebychev?"
},
{
"cell_type": "code",
"collapsed": false,
"input": "b, a = design_chebychev()\nplot_frequency_response(b, a, \"Chebychev filter currently used by ObsPy's decimation routine but zerophase\", zerophase=True)",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAA7AAAACcCAYAAABGO0cSAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRK5CYII=\n",
"text": "<matplotlib.figure.Figure at 0x4425bd0>"
}
],
"prompt_number": 6
},
{
"cell_type": "markdown",
"metadata": {},
"source": "This looks really good. The only potential problem is the big transition zone from passband to stopband."
},
{
"cell_type": "markdown",
"metadata": {},
"source": "### Step 4: New custom filter design"
},
{
"cell_type": "code",
"collapsed": false,
"input": "from scipy import signal\n\ndef design_decimation_filter(current_sampling_rate, decimation_factor,\n transition_zone_width=0.25, number_of_tabs=None, plot=False):\n \"\"\"\n :param current_sampling_rate: The current sampling rate.\n :param ecmiation_factor: The desired decimation factor.\n :param transition_zone_width: The amount of frequencies below the\n new Nyquist frequencies not part of the filters passband.\n Defaults to 0.2, which equals a buffer of 20 %. A smaller\n buffer results in more ringing in the passband.\n :param number_of_tabs: The desired number of taps in the filter.\n The number of taps is the number of terms in the filter, or\n the filter order plus one. The higher the order, the less\n energy beyond the new Nyquist frequency.\n If not given, it will be set to decimation_factor * 60. This\n has the effect of limiting the energy not in the passband of\n the filter to approximately -50 dB.\n Defaults to None.\n :param plot: If True, the filter's frequency response will be\n plotted. Defaults to False.\n \"\"\"\n new_sampling_rate = current_sampling_rate / decimation_factor\n current_nyquist = current_sampling_rate / 2.0\n nyquist = new_sampling_rate / 2.0\n \n if number_of_tabs is None:\n number_of_tabs = decimation_factor * 50\n \n # Design using the Parks-McClellan method. The 'remez' name is\n # apparently inaccurate and has been introduced by Matlab.\n bpass = signal.remez(number_of_tabs, [0, nyquist * (1.0 - transition_zone_width),\n nyquist, current_nyquist],\n [1.0, 0.0], Hz=current_sampling_rate, maxiter=2500000)\n\n\n if plot:\n freq, response = signal.freqz(bpass)\n amplitude = np.abs(response)\n phase = np.unwrap(np.angle(response))\n\n fig = plt.figure(figsize=(15, 1.8))\n ax1 = fig.add_subplot(111)\n plt.title(\"Frequency Response for decimation filter from %.2f Hz\"\n \" to %.2f Hz\" % (current_sampling_rate, new_sampling_rate))\n plt.ylabel(\"Amplitude (dB)\", color=\"blue\")\n plt.xlabel(\"Frequency Hz\")\n plt.plot(freq / (2 * np.pi) * current_sampling_rate, 20 * np.log10(amplitude),\n color=\"blue\", lw=2)\n plt.grid()\n ax2 = ax1.twinx()\n plt.ylabel(\"Angle (radians)\", color=\"green\")\n plt.plot(freq / (2 * np.pi) * current_sampling_rate, phase,\n color=\"green\", lw=2)\n\n plt.vlines(nyquist, plt.ylim()[0], plt.ylim()[1], color=\"red\")\n plt.text(nyquist * 1.01, plt.ylim()[1] * 0.98, \"New Nyquist\",\n color=\"red\", verticalalignment=\"top\")\n plt.vlines(nyquist * (1.0 - transition_zone_width), plt.ylim()[0],\n plt.ylim()[1], color=\"red\", linestyles=\"dashed\")\n plt.text((nyquist * (1.0 - transition_zone_width)) * 0.99,\n plt.ylim()[1] * 0.98, \"End of passband\", color=\"red\",\n verticalalignment=\"top\", horizontalalignment=\"right\")\n plt.show()\n \n return bpass, 1.0\n \nb, a = design_decimation_filter(100, 5, plot=True)\nb, a = design_decimation_filter(50, 4, plot=True)\nb, a = design_decimation_filter(200, 4, plot=True)\nb, a = design_decimation_filter(100, 10, plot=True)\nb, a = design_decimation_filter(100, 15, plot=True)",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAA6YAAACcCAYAAABsi7a9AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSkRERERERJL6f5gg4QnY+tu9AAAAAElFTkSuQmCC\n",
"text": "<matplotlib.figure.Figure at 0x4407290>"
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAA6YAAACcCAYAAABsi7a9AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nFREREREREVOpMBURERERERFT/QUA7KACkkRJcgAAAABJRU5ErkJggg==\n",
"text": "<matplotlib.figure.Figure at 0x4b998d0>"
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAA6YAAACcCAYAAABsi7a9AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYqj/AOhyFKJCCm/CAAAAAElFTkSuQmCC\n",
"text": "<matplotlib.figure.Figure at 0x4b8fd50>"
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAA6YAAACcCAYAAABsi7a9AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nkaaYmBIREREREZGm/g+a9JJaMJj9+AAAAABJRU5ErkJggg==\n",
"text": "<matplotlib.figure.Figure at 0x42f4050>"
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAA6YAAACcCAYAAABsi7a9AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\njDHGGGOMMcaM6v8B+WRuO92hwJQAAAAASUVORK5CYII=\n",
"text": "<matplotlib.figure.Figure at 0x4b03090>"
}
],
"prompt_number": 7
},
{
"cell_type": "markdown",
"metadata": {},
"source": "This looks quite good. There are several trade-offs that can be made. The width of the transition zone trades against the maximum energy in the stopband and the number of coefficients. The linear phase enables delay correction by a simple time shift."
},
{
"cell_type": "markdown",
"metadata": {},
"source": "**More FIR coefficients mean less energy above the new Nyquist frequency but it is also computationally more expensive.**"
},
{
"cell_type": "code",
"collapsed": false,
"input": "# This is close to the limit. Using more filter coefficients results in an unstable filter.\nb, a = design_decimation_filter(100.0, 5, number_of_tabs=400, plot=True)",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAA6wAAACcCAYAAAB7qSZ0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nWHg0PdpwhvMAAAAASUVORK5CYII=\n",
"text": "<matplotlib.figure.Figure at 0x46c31d0>"
}
],
"prompt_number": 8
},
{
"cell_type": "markdown",
"metadata": {},
"source": "**The width of the transition zone also has a large influence on the amount of energy in the stopband.**"
},
{
"cell_type": "code",
"collapsed": false,
"input": "# This is close to the limit. Using more filter coefficients results in an unstable filter.\nb = design_decimation_filter(100.0, 5, transition_zone_width=0.4, plot=True)",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAA6YAAACcCAYAAABsi7a9AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text": "<matplotlib.figure.Figure at 0x440b590>"
}
],
"prompt_number": 9
},
{
"cell_type": "markdown",
"metadata": {},
"source": "### Step 5: Profiling"
},
{
"cell_type": "markdown",
"metadata": {},
"source": "#### Profile the Chebychev filter currently in use by ObsPy and its zerophase variant"
},
{
"cell_type": "code",
"collapsed": false,
"input": "def apply_chebychev(data, zerophase=False):\n b, a = design_chebychev()\n if not zerophase:\n return signal.lfilter(b, a, data)\n else:\n return signal.filtfilt(b, a, data)",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 10
},
{
"cell_type": "code",
"collapsed": false,
"input": "# Normal Chebychev\nprint \"1E3 samples:\",\n%timeit apply_chebychev(np.linspace(1, 10E6, 1E3))\nprint \"1E4 samples:\",\n%timeit apply_chebychev(np.linspace(1, 10E6, 1E4))\nprint \"1E5 samples:\",\n%timeit apply_chebychev(np.linspace(1, 10E6, 1E5))\nprint \"1E6 samples:\",\n%timeit apply_chebychev(np.linspace(1, 10E6, 1E6))\nprint \"1E7 samples:\",\n%timeit apply_chebychev(np.linspace(1, 10E6, 1E7))",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "1E3 samples: "
},
{
"output_type": "stream",
"stream": "stdout",
"text": "10 loops, best of 3: 82.5 ms per loop\n1E4 samples: "
},
{
"output_type": "stream",
"stream": "stdout",
"text": "10 loops, best of 3: 89.4 ms per loop\n1E5 samples: "
},
{
"output_type": "stream",
"stream": "stdout",
"text": "10 loops, best of 3: 92.5 ms per loop\n1E6 samples: "
},
{
"output_type": "stream",
"stream": "stdout",
"text": "10 loops, best of 3: 183 ms per loop\n1E7 samples: "
},
{
"output_type": "stream",
"stream": "stdout",
"text": "1 loops, best of 3: 1.09 s per loop\n"
}
],
"prompt_number": 11
},
{
"cell_type": "code",
"collapsed": false,
"input": "# Zerophase Chebychev\nprint \"1E3 samples:\",\n%timeit apply_chebychev(np.linspace(1, 10E6, 1E3), zerophase=True)\nprint \"1E4 samples:\",\n%timeit apply_chebychev(np.linspace(1, 10E6, 1E4), zerophase=True)\nprint \"1E5 samples:\",\n%timeit apply_chebychev(np.linspace(1, 10E6, 1E5), zerophase=True)\nprint \"1E6 samples:\",\n%timeit apply_chebychev(np.linspace(1, 10E6, 1E6), zerophase=True)\nprint \"1E7 samples:\",\n%timeit apply_chebychev(np.linspace(1, 10E6, 1E7), zerophase=True)",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "1E3 samples: "
},
{
"output_type": "stream",
"stream": "stdout",
"text": "10 loops, best of 3: 84 ms per loop\n1E4 samples: "
},
{
"output_type": "stream",
"stream": "stdout",
"text": "10 loops, best of 3: 87.1 ms per loop\n1E5 samples: "
},
{
"output_type": "stream",
"stream": "stdout",
"text": "10 loops, best of 3: 101 ms per loop\n1E6 samples: "
},
{
"output_type": "stream",
"stream": "stdout",
"text": "1 loops, best of 3: 273 ms per loop\n1E7 samples: "
},
{
"output_type": "stream",
"stream": "stdout",
"text": "1 loops, best of 3: 2.02 s per loop\n"
}
],
"prompt_number": 12
},
{
"cell_type": "markdown",
"metadata": {},
"source": "#### Profile the new filter design with the default arguments"
},
{
"cell_type": "code",
"collapsed": false,
"input": "def apply_custom_filter(data, zerophase=False):\n b, a = design_decimation_filter(100.0, 5)\n return signal.lfilter(b, a, data)",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 13
},
{
"cell_type": "code",
"collapsed": false,
"input": "# The custom FIR design\nprint \"1E3 samples:\",\n%timeit apply_custom_filter(np.linspace(1, 10E6, 1E3))\nprint \"1E4 samples:\",\n%timeit apply_custom_filter(np.linspace(1, 10E6, 1E4))\nprint \"1E5 samples:\",\n%timeit apply_custom_filter(np.linspace(1, 10E6, 1E5))\nprint \"1E6 samples:\",\n%timeit apply_custom_filter(np.linspace(1, 10E6, 1E6))\nprint \"1E7 samples:\",\n%timeit apply_custom_filter(np.linspace(1, 10E6, 1E7))",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "1E3 samples: "
},
{
"output_type": "stream",
"stream": "stdout",
"text": "100 loops, best of 3: 17 ms per loop\n1E4 samples: "
},
{
"output_type": "stream",
"stream": "stdout",
"text": "10 loops, best of 3: 32.5 ms per loop\n1E5 samples: "
},
{
"output_type": "stream",
"stream": "stdout",
"text": "10 loops, best of 3: 189 ms per loop\n1E6 samples: "
},
{
"output_type": "stream",
"stream": "stdout",
"text": "1 loops, best of 3: 1.76 s per loop\n1E7 samples: "
},
{
"output_type": "stream",
"stream": "stdout",
"text": "1 loops, best of 3: 17.5 s per loop\n"
}
],
"prompt_number": 14
},
{
"cell_type": "markdown",
"metadata": {},
"source": "This is faster for small number of samples but decimation is not really important in these cases. A good number of samples to consider is probably 1 million. There the new filter design is around a factor of 6 slower. It to only calculate the actual FIR filter for the samples available after the decimation. This reduces the computation cost by decimation factor. Then both approaches will be approximately the same speed. This is also (almost) true for 10 million samples. If a wider transition zone or more energy in the stopband is acceptable, then it can even be much faster."
},
{
"cell_type": "markdown",
"metadata": {},
"source": "### Step 6: Attempt to optimize\n\nIt is possible to FIR filter and decimate in one step. This is done here."
},
{
"cell_type": "code",
"collapsed": false,
"input": "%load_ext cythonmagic",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 15
},
{
"cell_type": "code",
"collapsed": false,
"input": "%%cython\ncimport cython\nimport numpy as np\ncimport numpy as np\n\n@cython.boundscheck(False)\n@cython.wraparound(False)\ndef _apply_fir_decimation(np.ndarray[np.float64_t, ndim=1] x,\n np.ndarray[np.float64_t, ndim=1] b,\n np.ndarray[np.float64_t, ndim=1] y,\n int decimation_factor):\n \"\"\"\n Only calculate the FIR filtered values for the new output values.\n \"\"\"\n cdef Py_ssize_t i, j, len_x, len_b\n cdef double accum\n len_x = x.shape[0]\n len_b = b.shape[0]\n \n with nogil:\n # Loop over every decimation_factors'th sample in x\n # This syntax is needed so releasing the gil works. Can save more than 10 % runtime!\n for i from 0 <= i < len_x by decimation_factor:\n accum = 0.0\n # Loop over every coefficient\n for j in range(len_b):\n if j > i:\n break\n accum += x[i - j] * b[j]\n y[i / decimation_factor] = accum",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 16
},
{
"cell_type": "code",
"collapsed": false,
"input": "# Wrap in proper function.\ndef fir_decimation(data, sampling_rate, decimation_factor):\n b, _ = design_decimation_filter(100.0, 5)\n data = np.require(data, np.float64)\n y = np.empty(len(data) // decimation_factor, dtype=np.float64)\n _apply_fir_decimation(data, b, y, decimation_factor)\n return y",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 17
},
{
"cell_type": "code",
"collapsed": false,
"input": "# Check if the output is identical for the serial\nplt.figure(figsize=(15, 2))\nplt.plot(apply_custom_filter(test_signal)[::5], color=\"black\", label=\"reference\")\nplt.plot(fir_decimation(test_signal, 100.0, 5), color=\"red\", label=\"Fast version\")\nplt.legend()\nplt.show()\nnp.testing.assert_allclose(fir_decimation(test_signal, 100.0, 5), apply_custom_filter(test_signal)[::5])",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAA3kAAACKCAYAAAAXHoP/AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nIqIgwiaPiIiIiIgoiPwPLHvy7WzSo2gAAAAASUVORK5CYII=\n",
"text": "<matplotlib.figure.Figure at 0x439fa50>"
}
],
"prompt_number": 19
},
{
"cell_type": "code",
"collapsed": false,
"input": "# Compare to zerophase Chebychev with decimation and a continuous output array.\nprint \"1E3 samples:\",\n%timeit np.require(apply_chebychev(np.linspace(1, 10E6, 1E3), zerophase=True)[::5], requirements=\"C\")\nprint \"1E4 samples:\",\n%timeit np.require(apply_chebychev(np.linspace(1, 10E6, 1E4), zerophase=True)[::5], requirements=\"C\")\nprint \"1E5 samples:\",\n%timeit np.require(apply_chebychev(np.linspace(1, 10E6, 1E5), zerophase=True)[::5], requirements=\"C\")\nprint \"1E6 samples:\",\n%timeit np.require(apply_chebychev(np.linspace(1, 10E6, 1E6), zerophase=True)[::5], requirements=\"C\")\nprint \"1E7 samples:\",\n%timeit np.require(apply_chebychev(np.linspace(1, 10E6, 1E7), zerophase=True)[::5], requirements=\"C\")\nprint \"1E8 samples:\",\n%timeit np.require(apply_chebychev(np.linspace(1, 10E6, 1E8), zerophase=True)[::5], requirements=\"C\")",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "1E3 samples: "
},
{
"output_type": "stream",
"stream": "stdout",
"text": "10 loops, best of 3: 87.4 ms per loop\n1E4 samples: "
},
{
"output_type": "stream",
"stream": "stdout",
"text": "10 loops, best of 3: 89.8 ms per loop\n1E5 samples: "
},
{
"output_type": "stream",
"stream": "stdout",
"text": "10 loops, best of 3: 107 ms per loop\n1E6 samples: "
},
{
"output_type": "stream",
"stream": "stdout",
"text": "1 loops, best of 3: 278 ms per loop\n1E7 samples: "
},
{
"output_type": "stream",
"stream": "stdout",
"text": "1 loops, best of 3: 2.03 s per loop\n1E8 samples: "
},
{
"output_type": "stream",
"stream": "stdout",
"text": "1 loops, best of 3: 19.6 s per loop\n"
}
],
"prompt_number": 21
},
{
"cell_type": "code",
"collapsed": false,
"input": "# Now profile the custom fast version.\nprint \"1E3 samples:\",\n%timeit fir_decimation(np.linspace(1, 10E6, 1E3), 100.0, 5)\nprint \"1E4 samples:\",\n%timeit fir_decimation(np.linspace(1, 10E6, 1E4), 100.0, 5)\nprint \"1E5 samples:\",\n%timeit fir_decimation(np.linspace(1, 10E6, 1E5), 100.0, 5)\nprint \"1E6 samples:\",\n%timeit fir_decimation(np.linspace(1, 10E6, 1E6), 100.0, 5)\nprint \"1E7 samples:\",\n%timeit fir_decimation(np.linspace(1, 10E6, 1E7), 100.0, 5)\nprint \"1E8 samples:\",\n%timeit fir_decimation(np.linspace(1, 10E6, 1E8), 100.0, 5)",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "1E3 samples: "
},
{
"output_type": "stream",
"stream": "stdout",
"text": "100 loops, best of 3: 15.2 ms per loop\n1E4 samples: "
},
{
"output_type": "stream",
"stream": "stdout",
"text": "100 loops, best of 3: 15.7 ms per loop\n1E5 samples: "
},
{
"output_type": "stream",
"stream": "stdout",
"text": "10 loops, best of 3: 20.9 ms per loop\n1E6 samples: "
},
{
"output_type": "stream",
"stream": "stdout",
"text": "10 loops, best of 3: 78.8 ms per loop\n1E7 samples: "
},
{
"output_type": "stream",
"stream": "stdout",
"text": "1 loops, best of 3: 671 ms per loop\n1E8 samples: "
},
{
"output_type": "stream",
"stream": "stdout",
"text": "1 loops, best of 3: 6.54 s per loop\n"
}
],
"prompt_number": 20
},
{
"cell_type": "markdown",
"metadata": {},
"source": "### Conclusion\nThe custom filter with the Cython optimized FIR routine is faster, uses less memory has nice properties. The stopband has more energy than the Chebychev zerophase filter, but applying this filter as a zerophase filter would still be faster and improve in that respect.\n\nHere are the two filters we are talking about once more for reference. The top one the a zerophase Chebychev one and the bottom one the custom designed FIR filter."
},
{
"cell_type": "code",
"collapsed": false,
"input": "b, a = design_chebychev()\nplot_frequency_response(b, a, \"Chebychev filter currently used by ObsPy's decimation routine but zerophase\", zerophase=True)\nb, a = design_decimation_filter(100, 5, plot=True)",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAA7AAAACcCAYAAABGO0cSAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3XlcVFX/wPHPgLKoLCqCCq6pqbiApuU+mkti7iZqqKSV\n2VOWlZmWTy6lvzItq8ct18TK/dEk9DGVMlM0cUPLTCUBxSV3kXXO74/TjAwMqwuDfd+v130N585d\nzr1z5jLfe849x6CUUgghhBBCCCGEEHbOoagzIIQQQgghhBBC5IcEsEIIIYQQQgghigUJYIUQQggh\nhBBCFAsSwAohhBBCCCGEKBYkgBVCCCGEEEIIUSxIACuEEEIIIYQQoliQAFaIB9DEiRMZPHjwfV83\nJ5GRkVSpUuWubjMnM2fOpFy5cri7u3Pp0iXc3NyIjY0FIDQ0lAkTJtyXfBQH1atXZ+vWrUWdjRzl\nlr/7/VkW17JzN/K9fPlyunTpcpdylLfM39niZNq0aTz33HN3fbv38/pZVGJjY3FwcMBkMhV1VoQQ\nxYAEsEIUU1999RWPPPII7u7ulC1blo4dO7J9+3YADAZDobd7J+sWtVu3bjF+/Hh+/PFHrl27Rrly\n5bh+/TrVq1cH9LGZj++f8KMwM1uBTObzYY9yy9/dzLtSiunTp1OnTh3c3NyoVq0a48ePJzU19Y73\nFxoairOzM25ubpQpU4Z27doRExOT53pLlizhmWeeKfD+srob5+npp59m8+bNd5wXW4xGIwsXLrSa\nl/k7a69sXT/GjRvHF198UUQ5ypmDgwMnT54s6mwIIcRdIwGsEMXQzJkzeeONN5g6dSpXr17l4sWL\njB492vIjUylV6G3fybpF7fz586SmplKvXr0cl7lbx5eenn5XtpPfbWdkZNyz/RVXd+uzHDVqFF9+\n+SWrV6/m+vXrREZGsnPnTvr373/H+zMYDIwdO5br169z4cIFqlSpQkhIyF3Jd37Z83e6qG6g3Mvv\nrz2612VAKWXX5UwI8WCRAFaIYubq1au8++67LFq0iM6dO2MwGHB0dKRbt2783//9H6B/FKampjJ0\n6FA8PDyoVasWu3btsmwjNjaWoKAgPD09qVSpEh988IHlPYPBQHJyMgMGDMDDw4P69euzZ88eAKZP\nn06/fv2s8jNq1CheffVVAC5cuMCAAQMoW7Ysnp6edO/e3WrZmTNnUqlSJby8vJg7d65l/q1btxg5\nciTe3t6ULVuWoUOHcuvWLQDq1atHeHi4Zdn09HQqVKjAgQMHrLb9+++/4+/vD4CnpycdO3YEstc+\nGAwGkpKS6Nq1K2fOnMHNzQ13d3cSExMxmUxMmDABX19fPDw86NGjBxcvXrScMwcHBxYtWkSNGjXo\n1KmTzc/nq6++ol69eri5uVGjRg02bdoEZG8Om7mpdtZtd+zYkaVLl9KqVStee+01vL29mTx5MsnJ\nyTmep8jISPz8/Gye4/nz5/PVV1/x4Ycf4ubmRs+ePa3ynJiYSOnSpbl06ZJlXnR0NN7e3jYD56y1\nuVlroyZOnIiPjw9ubm7Url3bcty5nV9zPitWrIiPjw9Tp061eX4zu3jxIl26dMHd3Z1HH32UP/74\nA4B//etfvPHGG1bL9ujRg08++STbNo4fP86cOXP45ptvaNSoEQA1atRg9erVbNmyxdKqIbf9ZWRk\n8OKLL1qarvv7+3PkyJFs+3J1dWXgwIH8+uuvnDt3jlKlStk85+np6VY1pzdu3CA4OBgPDw88PDxo\n2rQp58+ft3lOdu3aRb169fDw8GDAgAEkJydbvb9ixQrq1q2Lu7s7TZo0Ye/evZb3Tpw4QVBQEB4e\nHpQvX56RI0cCuja4TZs2luUcHByYM2cODz/8MO7u7vz73//mxIkTtGzZkjJlytCzZ09SUlIAuHLl\nCl26dMHLyws3Nzc6duzIn3/+CcDbb7/Njh07eOmll3Bzc2PUqFGW7Zu/s5cuXaJfv354eHjg4+PD\n22+/bQmUlixZQuvWrRkzZgzly5fH19eX9evX2zwvoL+DH374IY0bN8bd3Z2MjAy+/vpratasiZub\nGy1atODgwYNWx5n52mEu97auH2fPnrX5nf7yyy+pXr265TyZ5fVdsGXatGn4+PhQsWJFq1rrrLXY\nmT+vtm3bAtC4cWPc3NxYtWpVtu2a3zNPDg4O/PjjjwBs27aNwMBA3N3dqVu3ruV6Zt7vO++8Q6tW\nrXBzc+PUqVNs3bqVBg0a4ObmRsOGDdm2bZvV8uPGjeOxxx7Dzc2Nzp07c+HCBau8hIWF2TxfUVFR\nNGvWDA8PD8qVK8ezzz5rKWO2vn/mVg65/W8RQhRjSghRrERERKjSpUvnusy7776rXFxc1Pfff6+U\nUmrcuHGqSZMmSiml0tPTVd26ddW0adNURkaGiouLUzVr1lTr1q2zrOvk5KQ2btyolFLqs88+U5Ur\nV1apqanqzJkzqnTp0urKlStKKaXS0tKUt7e3io6OVkop1a5dOxUaGqpu3LihMjIy1M8//6yUUmr7\n9u2qRIkSasqUKcpkMqnvvvtOOTk5qUuXLimllHruuedUnz591LVr11RSUpLq1auXeuWVV5RSSk2e\nPFk9/fTTlmPbuHGjql+/vs3jjo2NVQaDQWVkZFjmGQwGdeLECaWUUqGhoeqdd95RSikVGRmp/Pz8\nrNZ///33VcuWLdX58+dVenq6evHFF1XPnj2VUkqdOnVKGQwG9fzzz6uUlBSVkpKSbf/btm1TZcuW\nVTt27FBKKXXu3Dl17NgxpZRS1atXV1u3brUsO3HiRBUSEmJz28nJyWrx4sWqRIkSasGCBUoppZKT\nk3M9T3md49DQUDVhwgSr/GbOU1BQkJozZ47lvVdffVWNGjXK5nnOuq3t27dbzuWhQ4dUlSpV1Nmz\nZ5VSSiUkJKhTp07leX737dun3Nzc1N69e1VGRoZ66623VIkSJazOWWZDhw5VHh4eluXffPNN1bRp\nU6WUUnv27FGVK1dWJpNJKaXUhQsXVKlSpdT58+ezbWfOnDmqbt26NvfRuXNnNW7cuDz3t2HDBtW0\naVN19epVpZRSf/zxh0pMTLScK3OZu379uho4cKBq1qxZgc75p59+qrp3765u3bqllFLq8OHD6tq1\na9mWu3XrlvLx8bFs89tvv1VOTk6Wz2rHjh2qQoUK6uDBg0oppZYvX64qVaqkkpOTVWpqqqpVq5Ya\nP368Sk1NVampqSoqKkoppdTixYtV69atLfsxGAyqb9++KikpSR05ckQ5OzurDh06qISEBHX16lXV\nsGFDNX/+fKWUUpcuXVIbN25U6enpKikpSYWEhKguXbpYtmU0GtXChQutjiPzd7Zv374qODhY3bp1\nS505c0bVr19fffbZZ5Z8lSxZUi1ZssTyWVaoUMHmZ6mULu/NmzdX58+fV6mpqerAgQOqTJky6qef\nflJKKTVr1izl6+tr+W5nzodS1uXe1vXD1nf6xRdfVGlpaergwYPKyclJHT58WCmV+3chK/N3e/z4\n8cpkMqmoqChVpkwZy+eY9Rza+rwyH0du5s2bp+rVq6euX7+u/vjjD+Xp6Wn5PxIZGak8PDzUmTNn\nlFL6el+zZk114sQJZTKZVFxcnHJzc1OrVq1SSim1du1a5e7ubvkutGvXTlWtWlWdOHFCpaSkqEGD\nBqk+ffrk63zt37/f8n8mISFBNWzYUE2bNk0plfv3L7drphCi+JIAVohiJiwsTFWpUiXXZd59913V\nqVMnS/rIkSOqRIkSSin9I6Rq1apWy0+dOlUNHDjQsm7btm2t3vfz87P8iHniiSfUF198oZTSP5D9\n/f2VUkqdOHFClSxZUl2/fj1bfrZv365cXV2tAktvb2/1008/qZSUFOXi4mL1A+vnn39WlSpVUkop\ndfz4ceXm5mb58T5o0CA1ZcoUm8dt/hGUnwA2c9BlVqNGDauA6cyZM8rR0VHdunXLsu34+Hib+1ZK\nqcGDB6u33nrL5ntZA9h3330324/dzNtevHixeuihhyzpvM5Tbuc467HbytM333yjWrVqpZTSNzkq\nVqyo9u7da/NYsm4r87k8fvy48vb2Vlu3blWpqalW6+V0fpOSktS4cePUkCFDLO8lJycrFxeXHAPY\n0NBQq+WTkpKUk5OT+uOPP5RSStWrV09t2bJFKaVvwnTr1s3mdqZMmaLatGlj872QkBD1/PPPK6V0\nAJvT/rZt26bq1KmjoqKirM6/eT0XFxfl6empypUrp5544gn1+++/K6Xyf84XLVqkWrZsafkxn5PN\nmzdn+24bjUZL0GXrJsbDDz+sNm/erLZu3WopS1nZCojMN6eUUqpZs2bqww8/tKTHjBmj/vWvf9nc\n1uHDh5Wrq6tV/sw3aTJv/8SJEyopKUmVLFnS8pkqpc/FY489ZslXrVq1LO/dvHkz1+9o9erVVVhY\nmCU9fvx4y3fQrFq1amrz5s1W+TDL6/ph6zudkJBgeb958+aW/ed2rclq+/btytnZWSUnJ1vmhYSE\nqLffflspdfcC2B07dihvb291/PhxpZQOyAcPHmy1TJcuXdS8efMs+33vvfcs782fP99qv0op1bZt\nWzV37lzL8v/+978t7/3xxx+qRIkSKjk5OcfztWzZMpt5/eyzz1TXrl2VUkpt3brV5vcvr2umEKL4\nkibEQhQz5cuXt2p2mBMfHx/L36VKlSIjIwOTyUR8fDxnzpyhbNmylmnatGlcuXLFsryvr6/Vtvz8\n/Dh37hwAQ4cOJSwsDNDNvcxN5s6ePYuXlxdlypTJMd8ODrcvOaVKlSIlJYULFy6QkpJC06ZNLfnp\n2rUr165dA6BWrVrUq1ePDRs2kJSUxLfffsugQYPyc6oKLC4ujt69e1vyUb9+fZycnPjrr78sy1Sq\nVCnH9RMTE6lZs2a+9mXr2b+s286czus8Qc7nOD969uzJ0aNHiY2NZcuWLXh4ePDII4/ka93MatWq\nxYwZM5gwYQI+Pj7069eP+Ph4IPfze+HCBaty5+zsjJeXV677yry8q6sr5cqVs5TTIUOG2CynWVWo\nUCHH5rjnzp2z5MFgMOS4v/bt2/PCCy/wwgsv4O3tzbBhw7h69aplvTFjxnD58mX++usvIiIiqF27\nNpD/cz548GAef/xx+vfvT6VKlXjttdesOpgyO3/+vM3vrll8fDwzZsyw+u7Hx8fz119/kZiYWKCO\nkzJfX5ydnbOlzeXu6tWrhIaG4uvri6enJ61atSIlJcXqecmcnoP966+/SE9Pp2rVqpZ5VapUsXzG\nABUrVrT8XapUKYBcy3zm79T58+ezdcSUdft3Kmv+zHnLz7Ums3LlyuHs7GxJ+/n55VhuCyMuLo7g\n4GC+/PJLatWqBejysmrVKqvysnPnTqv/P5nP57lz57Kdz6pVq1rlM3N59PX1JSMjw+qYs54vczk/\ncuQInTt3xsvLC09PT8aOHcvNmzcB6NChg83vX36umUKI4kkCWCGKmRYtWgBYPYuUVW4do1SsWJE6\ndepw+fJly3Tt2jW+++47yzIJCQlW6yQkJFh+oPbs2ZNDhw4RExNDeHg4Tz/9NACVK1fm4sWL3Lhx\no0DHU758eUqWLMnx48ct+bly5YrVdgYOHMjXX3/N+vXr8ff3z3eQaIv53OQUQG7dutXq3CQlJWUL\nCnJSuXLlHHv7dHJysvzgAvJ83i2r/Jyn3OTVWY6LiwtPPfUUYWFhhIWFMWTIkByXdXJyIikpyZLO\n+qM7JCSEnTt3cvr0aZydnRkzZgyQ8/n18/PD29vbqtwlJyfneY4yL3/r1i0uXbpkKachISGsX7+e\ngwcP8ttvv9GrVy+b22jfvj3Hjx/P9szq+fPn2blzJ48//jigO6nJbX+jR48mOjqa3377jdjYWMvz\n6OZ1bcnvOS9RogSTJ0/m6NGj7Nmzh82bN7N48eJsy/n4+GT77sbFxVn+rlSpEhMnTrQ6/zdu3GDg\nwIFUrlzZ8mzq3WAub9OnTychIYGDBw9y5coVdu7cadXhT27lsnz58jg6OlrlKy4uzirIuRM+Pj6c\nPn3aal58fLzlMy1ZsqRVOb948WKu14+CdEhV0GvNpUuXrJ5njouLs+Qz67UlpyA4J7du3aJXr16M\nHj3aarikSpUqMWzYMKs8Xr9+nbfeesvmdipWrJjtfJ4+fdrq5ob5Zpb5b0dHR8qXL59nHkeMGEGz\nZs2Ij4/nypUrfPDBB1ZD7tj6/nl5ed3RNVMIYb8kgBWimPHw8GDy5Mk8++yzbNmyBZPJRFpaGhER\nEYwdOxbIvcfJdu3aYTKZ+Pzzz0lNTUUpxbFjx4iOjrYss3v3bktAO3v2bDIyMiydgri6utK3b18G\nDRrEo48+armjXqNGDVq1asUrr7zCzZs3ycjIYOfOnXkej4uLC4MHD+b111+31AInJiZadXg0YMAA\nNm/ezNy5c++o9jXzD+dy5cpZfpCZPf/887z99tucPXsWgMuXLxMREZHv7YeGhjJ//nx+/vlnQNdI\nHD9+HNAdpXzzzTdkZGRw6NAhVq9eXaAfvPk5T7kpV65cngHKkCFDWLx4MRs2bMh1LODGjRvz3Xff\nWWoVM3eOdPz4cXbs2EF6ejpOTk44OztbaoVzO799+vRh3bp17Nu3j4yMDKZMmZJrT7FKKTZs2GBZ\nftKkSTRo0ICHHnoI0DU9jzzyCEOGDKFfv35WtVeZ1alThxdeeIHg4GAOHToEwMmTJ+nXrx8dOnSg\nQ4cOlmVz2l90dDTR0dGYTCZcXV2tjjm372J+z/mPP/7Ir7/+CkDp0qUpWbKkVU27WZs2bUhJSWHe\nvHkAhIeHs3v3bsv7zz77LHPmzGH//v2Avknwv//9jxs3btCmTRtKly7NhAkTSE1NJTU1laioqFzz\nnlnm48z8PUtKSqJkyZK4ublx7do1pkyZYrVeuXLlOHXqlM1turq60qNHDyZMmEBycjJnz55l5syZ\nDBw4MN/5yk2/fv1Yv349P//8M0opPv/8c9LS0mjXrh2gy/ny5csxmUxs27bNqkMvW9ePvD7rzAp6\nrcnIyOC9997DZDIRFRXFhg0bLB3qNW7cmLVr13Lr1i3+/PPPbEP55HaOAYYNG0a9evWydXw2ePBg\n1q1bx/bt21FKkZaWxs6dOzlz5ozNY37yySc5dOgQa9euBeC///0v+/fvp0ePHpZllyxZwsmTJ0lJ\nSWHixIn06NEjx+9mZklJSbi4uODs7MzJkyeZM2eO5fqZ0/fP2dn5jq6ZQgj7JQGsEMXQa6+9xocf\nfsj48ePx9PTE29ubjz/+mG7dugG2x340p0uUKMHmzZvZunUrPj4+eHp6MmTIEC5fvmxZrmfPnnz5\n5Zd4enry+eefs3btWpycnCzbGjp0KDExMdl+cK9cuZLr16/j6+uLl5cXH330Ubb92/L5559TtmxZ\n6tWrh7u7e7axMitWrEjLli3ZtWsXwcHBuZ6bnI4763lp2LAhPXr0wM/Pj3LlypGYmMjbb79N69at\nefTRRy29tJp748zrGED3svnpp58SGhpq6dXUXCP7/vvvc+TIETw8PBg/fny247CV76zz8jpPueVv\n+PDh/PLLL7i7u9OnTx+by7Rq1QoHBweaNm2a6xi5w4YNo06dOvj6+tKpUyf69u1r2XdycjKjR4+m\nbNmyeHl5cebMGUsv17md36ZNmzJ9+nSCgoKoXLkypUuXzjUPBoOBgQMHMm7cOMqWLcu2bdv45ptv\nrJYZOnQohw8fzjUYB31ehwwZQt++fXFzc8NoNNKyZUvWrFmTr/1dvnyZIUOG4O7ujq+vL+7u7rz5\n5puW9XL7XPJzzuPj4+nRowdlypShdu3atGjRgtDQ0GzLubi4sGbNGj755BM8PDxYtmwZvXv3trzf\ntm1bpk+fztChQy3j3ZqDXUdHRyIiIti7dy9eXl5UqlSJZcuW2TyGvGofMy8/evRorl69StmyZXns\nscd4/PHHrZZ9+eWXCQsLw8PDw9KbeWbz588nNTUVHx8fGjduzJNPPsnLL7+c47ktyE2hgIAA5s2b\nR0hICO7u7oSFhbFx40ZLQDVr1ixLE9olS5ZY9d6d9fpx9uzZfJ0ns7yuNVmPqVKlSpQqVYrKlSvT\no0cPZs6cSePGjQEYM2YMGRkZeHl5ERISwsCBA632/c477xAcHEzZsmVZvXp1tu2vWLGC//73v1Y9\nEe/cuZPatWvz9ddfM378eDw8PKhYsaIliLZ1jBUrVmTNmjX8+9//pkyZMkyYMIF169ZZaswNBgNP\nP/00gwYNwsvLi3Pnzln1Rp/b+Zo+fTpLlizB3d2d0NBQq97wc/v+5XXNFEIUTwZVkFuGQgiBbr5W\nt25dzp07l+Mzr6J46tixI4MGDWLYsGFFnZU7tmPHDkJCQu5q09h74UE650LkpH379gwePFjKuRDi\njtllDWz16tVp1KgRgYGBNG/eHNDPf3Tq1IlGjRrRpUsXqw5nhBD316xZs+jfv78Erw+YQ4cOsW/f\nPvr371/UWbljSik+++wzu/+x/CCdcyHyInUmQhSdTZs20bBhQ+rXr29pGZXVqFGj8Pf3p0mTJpbH\nTUCP6f3UU0/RuHFj6tWrx65du+5Xtm2yywDWYDAQGRnJ/v372bNnDwDvvvsu3bp149ChQ3Tt2pV3\n3323iHMpxD/PzZs3cXd3Z/PmzUyaNKmosyPuoqFDh2I0Gpk5c2axvzHx66+/4uHhwZkzZxg9enRR\nZydHD9I5FyI/CtLEWwhx96SkpDBy5Eg2bdpk6Ycjc4AKsGbNGk6fPs2RI0dYuHAhzzzzjOW95557\njj59+nDw4EGOHDmCv7///T4Ea/dxyJ58q169urp48aLVvJo1a1rmXbhwwWp8RDNAJplkkkkmmWSS\nSSaZZJLpHz1l9sMPP1iNhz59+nQ1ZcoUq2WGDRumVq9ebUn7+/ur+Ph4dfHiRasxt+1BCeyQwWCg\nU6dOpKen8/zzz/PSSy9x4cIFS1frXl5eOY5/pqR5irBD43v1Ymrz5jB+fFFnRYhsQkNDWbJkSVFn\nQ4hspGwKeyVlU9izrK0d4uPjrToK9PPzIzIyMs9lzEOxVahQgf79+3P06FGaNGnC7Nmzi7TlkF02\nId69ezfR0dFs3bqVxYsX8/333xd1loS4Iw97eICUY2GnqlevXtRZEMImKZvCXknZFMVJfpvvZ60I\nNBgMmEwm9u7dy5gxY4iJiaFcuXLZhkS73+wygPX29gZ0tN+vXz/27t1LhQoVLIPaX7hwwbKMEMWO\ngwNkHm/vo4/gbj5PGhur9/H557fnvfQSLF169/Zh1qpV7u9PnXr39ymEEEIIIfItc20q6NEksg7d\nlnWZ+Ph4/Pz8qFKlCr6+vjRr1gzQY2gfOHDg/mQ8B3YXwCYlJZGUlAToDmM2bdqEv78/QUFBhIWF\nARAWFkZQUFBRZlOIAimduZmFkxOsWwd//aXT96JTC29v+PRTSEu7d/sA2Lkz9/enTbs3+xV3laen\nZ1FnQQibpGwKeyVlUxQnzZo1IyYmhoSEBNLS0li5ciVdu3a1WiYoKIjly5cDEB0djaOjI76+vlSp\nUgUvLy9+//13AL7//nvq1at3348hM7sLYM+dO0eLFi0ICAggMDCQdu3a0aNHDyZNmkR4eDiNGjUi\nIiKCyZMnF3VWhci3Wg89dDtRsiQ8/zx8/HH2BRMT4cknoXFjCAiAH37Q8xs1gmvXQCkoXx6WLdPz\nhwyx3TS5QgV4/PHsta4nT0LTprfTx4/fTq9fD7Vrw6OPwqhR0L27nj9xIsyYcXudBg3g9Gn9tzkw\nj4+Htm0hMBAaNoQdO+Ctt+DWLT1v8OB8nSdRNAICAoo6C0LYJGVT2Cspm6I4cXFxYc6cOXTp0oXG\njRvTp08fmjRpwrx585g3bx4Affv2xdfXF39/f5599lkWL15sWX/hwoU8/fTT+Pv7s2fPniIfDcag\nHqBejwwGg3TiJOzTtm3w3nv61c0NzpzRQenBg/DFF3DjBrz7LvTpA6+/rpvmnj4NHTrAH3/AyJE6\noKxaFYYN00HhvHlQp47ehqvr7X3FxuplN2yArl3h6FF45RVo1kwHvB066OC5cWPdqZSvr95mzZqw\naxdUrw6DBuk8bdigmzeXKaPzBTpADQ/XeXFzg+vX4cMP9Xtvvqlfb96E0qVvvy+EEEIIIe6LBz0m\nssteiIV44Lm56WDy00+tg8/vv4dTp26nU1J0zWubNvDjj1Ctmg5m58/XQXDZstbrZ1ajhq5N/eor\nnTZfyJ59FhYvhpkzYeVK2LsXDh/WwbC5U4qBA/U+8qtFCxg+XNe4du8OTZrkf10hhBBCCCHyye6a\nEAvxILL5sPurr8LChbq20sxg0AHl/v16iosDd3fdPPfHH3XTXKNRNxFevVrPz8348fDBB7eDV9C1\nvBERsHEjPPKIDoKzPiObeXkHBzCZbqeTk7Pvxxxg+/npAPnLL3PPl7ArWbvSF8JeSNkU9krKphBF\nRwJYIYpK2bLQv78OYs0BZMeOMHfu7WViYvSrnx9cvKibE9eoAa1b696L8wpgH34Y6teHb7+9Pc/F\nBbp00TW5zzyj5zVoAL//Dn/+qdMrVtzOk58fREfrvw8csK4hNouP1x1HDR+umyP/8oue7+gIGRn5\nPydCCCGEEELkQgJYIe4Dq84eMtd2vv66DkzN5s6FLVv0c6YNGugmxmaPPaab+YIOYM+c0a+2ZN7H\n22/rADPzvEGDdM1q58467eqqn6nt2FE3O65Q4XYtbP/+cPaszs/nn+ugOOt+vv9eP1PbpAmsWqWf\nuQUIDYV69aQTJztnNBqLOgtC2CRlU9grKZtCFB3pxEmI+yFzJ072YOZMuHwZchqI+ocfdA1v5ppb\nIYQQQghh9x70mKhY1cBu2rSJhg0bUr9+fT744IOizo4Q+VbUAz5b6dsXwsJu15Lm5F6NHSvsjjzL\nJeyVlE1hr6RsClF0ik0vxCkpKYwcOZKffvoJHx8fWrRoQefOnQkMDCzqrAlRvKxZk/cy7drpSQgh\nhBBCCDtSbALYqKgo/P398fX1BSA4OJjw8PBsAWx4+O2/s1YgPUhpe8pLXukSJfQwomXK6A51XVz4\nxwkICNAMgrMvAAAgAElEQVS9/gphh+RZLmGvpGwKeyVlUxQ3mzZtYsyYMWRkZDB06FDGjh2bbZlR\no0axdetWnJ2dWbhwoVWclZGRwSOPPIKfnx/fFvEjZnkGsEeO6NExYmN1UFK9uh4xw9//3mcus/j4\neKpUqWJJ+/n52Wy+8eSToUD1v1OeQABg/DttXl7SRZkuV86Inx+UKhVJtWrQp48RoxGOHtXvm/8p\nmD/fByV9+coVDkZG2k1+JC1pSUta0pKWtKQl/WCmM8tPS9Y1a9Zw+vRpjhw5wv79+3nmmWesHoGb\nNWsW9evX5/r169m2n1/RZ6P5OuZrfvzzR2KvxGLAQDXParSt1pZBDQYRWCl/LWtz7MRp2TL47DMo\nXx6aN4fKlXWnpGfPwp49uuPUV16BkJBCH0OBfP311/z444/MmTMHgG+++YbIyEjmZhpyxGAwEBSk\nDyfrUT1IaXvKS37Sqal6qNMbN+DqVUhLw6ZmzXTnuCEh4OVle5ni6sDMmQRs3Gg/nTgJkUlkZKTl\nH58Q9kTKprBXUjaFPcvaidOPP/7Ihx9+yMa/WwN+9NFHJCcn884771iWGT58OEFBQfTt2xeABg0a\nsGnTJvz8/IiPjyc0NJS3336bmTNnFqoGNmh5EGVdy9KjTg+a+zanklsllFKcvXGWPQl7+Pb3b7mS\nfIXwQeF5bivHGtjLl2HrVnBzs/3+tWuwZEmB815ofn5+xMXFWdJxcXFWNbJm4XkfsyhCSsGFCxAX\np4ccPXQIfv4ZduyAvXv1NG4cDB0K77yjhyAVQgghhBBC2BYZGWmz5tUsPy1ZbS2TkJCAn58fo0eP\nZvr06Vy7dq3QeVzcczE+ZXyyza9ZtiY1y9ZkQIMBnL95Pl/bcsjpjVGjcg5eQT/LOGpUvvZxVzRr\n1oyYmBgSEhJIS0tj5cqVdO3a9f5lQNwVBgN4e0PTptCnD0ycCP/7H1y6BCtXQteukJyshyStXRvG\nj9e1tsWd1TiwQtgZqUUQ9krKprBXUjaFPTEajUycONEyZWXI58gSWRvmKqXYuHEj3t7eBAYG3tHQ\nPObg9UbqDTJMGQAcu3iMtb+uJSU9BQDv0t752laOAeyNG7BgAWzYACYTfPABBAXBCy9AYmKh815o\nLi4uzJkzhy5dutC4cWP69OlDkyZN7n9GxD3h6gpPPQXffQe//gr9++tAdto0qFULFi3K3jRZCCGE\nEEIIkbv8tGTNukx8fDx+fn78/PPPbNiwgRo1ajBw4EC2bdvGkCFDCp2XNovbkG5KJ+5qHJ3DOvN1\nzNeErg8t0DZyDGBDQmD7dh04tG8Pp0/Dyy/rZ2IHDy50nu9I165diYmJ4ejRo4wbN65oMiHuubp1\nYcUK2L0bWrfWz1sPHw6dO8PJk0Wdu8Kxq3Fghcgit2ZHQhQlKZvCXknZFMVJflqyBgUFsXz5cgCi\no6NxdHTEz8+PqVOnEhcXx6lTp/jmm2/o0KEDX3755R3lx7mEM+t+W8dLzV5i1VOrOHrhaIHWz/EZ\n2N9+01N6un4O8Ycf9PyuXaFevTvKsxD58uijugfsr77SHYZ9/z00bKhrZV96CRxyvP0ihBBCCCGE\nAOuWrCaTicGDB9OkSRPmzZsHwIgRI+jbty/bt2/H398fZ2dnFi9ebHNb+W2OnJu9CXv5OuZrFnRf\nAGRvupyXHHshDgyE/fuz/20rbS+y9rglHhwXLsCrr+pgFqBTJ92JWOXKRZqt/Nu2Dd57T3ohFkII\nIYQQ95Q9x0RbT25l5u6ZtK3alrGtxxJ7JZaPfv6Iz4M+z/c2cgxgK1SAgQP1c4crVsCAAbefQVyx\nAs7nr5Oo+8qePyxxd6xfD88+q5sVlysH8+fD37192zcJYIUQQgghxH3woMdEOQawS5boHmNtvWsw\n6GFO7M2D/mEJLTERhg2DiAidDg2FWbN0z9j2SsaBFfZMxjMU9krKprBXUjaFPbPnmCjmfAwf/fwR\ncdfiMCkTAAYMbBua/9/IOT4DGxp6x/kT4p6oWFGP9zt7Nrzxhr7ZsmOHHoZHOqYWQgghhBDCPvVd\n2ZdXH32VkY+MxNHBsVDbyLEGtnv3TAtlqYk1GPTwOnfbxIkTWbBgARUqVABg6tSplh6ypk2bxrJl\ny3B0dGTGjBl07tw52/r2fLdB3Bu//qqbuh88CE5O8NFHuoOnu/B8+d0lTYiFEEIIIcR9YM8xUfMv\nmrPnuT13tI0ca2Bff12/rlunO9DJ/Dzs3/HlXWcwGHjttdd47bXXrObv27ePtWvXcvjwYRITE2nd\nujXHjh3Dycnp3mREFBv16unhdl5/XdfIjhqlY8RFi6Bs2aLOnRBCCCGEEMIsqHYQc3+ZS8+He+Jc\nwtkyv5xruXxvI8eBSIxGPe3erXt+7d4devSA5cth1647yXbubN0tCA8PZ8CAATg6OuLr64u/vz97\n9txZ5C4eHC4u8J//wKpV+jnY//5X95S9e3dR5+w2GQdW2DMZz1DYKymbwl5J2RSicJYcWMIHOz+g\n5aKWNJ3f1DIVRI41sGaXLkFsLFSvrtN//qnn3Sv/+c9/WLBgAU2bNuXTTz+lXLlyJCQk0KFDB8sy\nfn5+xMfH21w/NDSU6n9n1tPTk4CAAMtD9uaLjaQfzLSXVyRz5sAnnxjZuxdat47k2Wdh9mwjDg5F\nn7/LV65wMFOnD0WdH0lLWtKStve0mb3kR9KSNqcPHDhgV/mRtKSzpu1V7Kuxd7yNHJ+BNVu/Hl54\nAerU0enff4d583RtbGF06tSJxMTEbPPff/99WrZsSfny5QH9POyJEycICwtjxIgRdOjQgeDgYABe\neOEFjEYjAwYMsD4YO27vLe6f1FQYNw5mztTpoCBYuhS8vIowU/IMrBBCCCGEuA/sPSbad2Yfx/46\nRrop3TJvSOMh+V4/zxrYnj2hc2c4fFh3jNOgAbi6Fi6zAFu2bMnXciNGjKB9+/aArnGNi4uzvBcf\nH0+VKlUKnwnxQHNyghkzwGjUwz19951uUrx6NTz6aFHnTgghhBBCiPtr06ZNjBkzhoyMDIYOHcrY\nsWOzLTNq1Ci2bt2Ks7MzCxcuJDAwkLi4OJ5++mkuX75Mamoqw4cP58033yx0Pt76/i2iEqI4cv4I\n3ep0I+J4BK2rti5QAOuQ0xuZa59dXaF5c2jWzDp43b69MNnO2fnz5y1/r1mzBn9/fwCCgoJYsWIF\n6enpxMfHExMTQ/Pmze/uzsUDp3t3OHAAWrSA+Hho0wbmzrU9tvG9Js/ACntm782NxD+XlE1hr6Rs\niuIkJSWFkSNHsmnTJg4dOsTq1avZv3+/1TJr1qzh9OnTHDlyhIULF/LMM88A4OTkxOzZszl8+DD7\n9u1jwYIFHDx4sNB5WfvrWr4f/D2V3SqzuOdiYl6M4Xrq9QJtI8ca2I0b4c03oWNHeOQRqFRJ//A/\nexZ++QW+/x7at9fT3fL6669z6NAhUlNTqVatGgsXLgSgadOm9O7dm0aNGuHg4MC8efMoWbLk3dux\neGBVrapvxrzxBnz2GYwcqTt3mjPnzloSCCGEEEIIURxERUXh7++Pr68vAMHBwYSHhxMYGGhZ5rvv\nvmPw4MEABAYGWioO/fz88PHxAaBMmTI0atSIM2fO0Lhx40LlxcPFA0cHRxSKG6k3KO9anhOXThRo\nGzkGsB99BNev62dgt2zRnTcBVKsGrVvD229DmTKFyneOli1bluN748ePZ/z48Xd3h+IfwckJPv1U\nNx9+7jn9POzBg7BmDdSseX/yEBAQoO8KCWGHzB0/CGFvpGwKeyVlU9iTyMjIXFsFZH380s/PL9vy\ntpYxB7BmsbGx7N27l8WLFxc6r00rNeVayjVCG4cSMDeAMk5laFGlRYG2keszsG5uEBKiJyGKu6ef\nhoYNoW9f3bS4aVM9LFRQUFHnTAghhBBCiMIxGo1WN1UmTZpk9b7BYMjXdrJ2/JR5vRs3bvDUU08x\na9Ys3NzcCp3XuU/OBWB0i9EE1Q4iJSOFRj6NCrSNHJ+BFeJB1KgR7N2rn4+9cgWefBLef//ePxcr\nz8AKeybPcgl7JWVT2Cspm6I4ydohblxcXLYOcW11mmuufU1LS6Nv374MGjSIXr16FSoPv174FYDo\ns9GW6WbaTdJN6USfjS7QtvLshViIB42nJ/z3vzBtGkyYAO+8A0eOwMKF8lysEEIIIYR4sDRr1oyY\nmBgSEhLw9vZm5cqVzJs3z2qZoKAgwsLC6NevH9HR0Tg6OuLr64tSiuHDh1O/fn1Gjx5d6DzM3D2T\nL7p/wWubX7NZI7x9aP57B85zHNjixN7HPBL259tvYdAguHFD97L93/9C5cr3YEcyDqwQQgghhLgP\nbMVEERERjBkzBpPJxODBgxk3bpwliB0xYgQAL730Etu3b8fZ2ZkFCxbQpEkTfvrpJ9q2bUujRo0s\ngee0adN44okn7u9BZZJnAHv9OnzwAZw5A4sWwYkTcPSoboJpbySAFYVx+DD06AGxsTp4Xb9e97x9\nV0kAK4QQQggh7gN7jInWHF2T67O4fer1yfe28nwGNiREd+YUFaXTvr66B2IhHhQNG8KePXqc2DNn\n9Ou6dXd3H/IMrLBn8iyXsFdSNoW9krIpRMF8+/u3fPv7tyzcv5DhG4az/PBylh9ezrMbnmXR/kUF\n2laeAezJkzB2rB6KBMDFBRzusOunVatW4e/vj6OjI9HR1g/tTps2jfr169OwYUP+97//Webv27eP\nwMBA/P39eeWVV+4sA0JkUaGCHtt4+HBIToZ+/fRYsUIIIYQQQog7s6TXEhb3XEyGKYNjLx1jTf81\nrOm/hmMvHSNDZRRoW3mGok5OcOvW7fTp0wXObzYNGzZk3bp1tG3b1mr+vn37WLt2LYcPH2bTpk2M\nGDGCtLQ0AJ555hkWLVrEkSNH+PPPP1l3t6vIxD+ekxN88QVMngwmE7z4om5tcDdaYAQEBNz5RoS4\nR2Q8Q2GvpGwKeyVlU4jCOXXlFN6lvS3pCqUrcPLyyQJtI89eiN99Fx5/HOLjYcgQ2L4d5s8veGYz\nq1u3rs354eHhDBgwwNLrlb+/P1FRUVStWhWTyURgYCAAISEhhIeH07t372zbCA0NpXr16gB4enoS\nEBBguciYm3tIWtK5pSdMMOLrC889F8nUqZCQYOSLL2Dnzjvb/uUrVzgYGVnkxydpSUta0pKWtKQl\nLekHO22v2lZrS9flXQn2D0Ypxaqjq2hbrW3eK2aSr16Iz52DHTv0323agI9PofKbTfv27ZkxYwZN\nmjQBdA9YHTp0IDg4GIAXXngBo9FItWrVmDx5MhEREQDs2rWLSZMmsWnTJuuDscMHlkXxFR4O/ftD\nUhI88QSsXg2lSxduWwdmziRg40bpxEnYpcjISMs/PiHsiZRNYa+kbAp7Zs8xkUmZWBGzgh2nd+Bg\ncKB11dYE+wfn2sFTVjnWwO7bB5m3U6OGfk1I0NPfMWeOOnXqRGJiYrb5U6dOpbs9dmEsRBbduukW\nB926waZNEBQEGzfqTs2EEEIIIYQQBeNgcGBgw4EMbDiw0NvIMYB9/XUdwN66pYPZRo30/EOH9BAj\nu3blvuEtW7YUODN+fn7ExcVZ0vHx8VSpUsXmfD8/vwJvX4iCat4cfvoJOnSAH3+ELl0gIgI8PAq2\nnYCAAB39CmGHpBZB2Cspm8JeSdkUonB+iP2BlyNe5ve/fidDZZBhyqCMUxmujbuW72045PRGZKSu\nffLzg4MHdRC7b58OYO9m7Ji5ejsoKIgVK1aQnp5OfHw8MTExNG/enCpVquDg4MD+/fsBWL58OUFB\nQXcvE0Lk4uGH4YcfoEoVfeOmUye4fLmocyWEEEIIIUTx8q/v/sWa/muoV6EeyW8ns7TXUl5s9mKB\ntpFjAGv2669Qv/7tdL16cPRogfNqZd26dVSpUoXdu3fTrVs3unbtCkDTpk3p3bs3jRo14oknnmDe\nvHmULFkSgMWLFzNs2DD8/f2pWrUqffrkf7BbIe5UrVq6BrZGDdi7Vzcnvnkz/+vLOLDCntl7hw/i\nn0vKprBXUjZFcbNp0yYaNmxI/fr1+eCDD2wuM2rUKPz9/WnSpIml4jC/6+ZXSceS1C5fm9SMVBwd\nHBnceDBbThas5W6evRDXqgUjRsDAgXo4kRUr9Lw70bt3b5s9CAOMHz+e8ePHZ5vftGlTqxMpxP1W\nvbquiW3dGnbvht694dtvwdm5qHMmhBBCCCGEbSkpKYwcOZKffvoJHx8fWrRoQefOnS0jvACsWbOG\n06dPc+TIEfbv388zzzzDgQMH8rVuQZRxKkNaRhoNvBsw9vux+JT2ISktqUDbyDOA/fprmDULpk/X\nz8S2bg0ff1yo/N57E8EwKf89WAlRKMP0yxbA5f8KsF47QMqnsFc/FHUGhMiBlE1hr6RsimIiKioK\nf39/fH19AQgODiY8PNwqCP3uu+8YPHgwAIGBgZZHOk+ePJnnugUR1juMDJXB7KDZzNg1g/hr8WwY\nsKFA28gzgC1VCsaNK1T+hBBCCCGEEELcS7F/Tzkwd4xr5ufnl60ZvK1l4uPjSUhIyHPd/MowZfDO\n9ndY1nsZLiVcmPr41EJtJ88A1jx8TmYGA5w8Waj93VsTsdsxj8SDZ+dO6NgRkpPhP/+BF3N5/lzG\ngRX2TMYzFPZKyqawV1I2hT3LOqZqfsdYvddxlKODI3FX40g3pVPCIc8wNEd5rrl37+2/k5Nh3To4\nf77Q+xPigdGqFSxYACEh8MorurMz+V8mhBBCCCHsSdYhSePi4qxqVTMv8+ijjwK3a2TT0tLyXLcg\nqnhUocXCFvSo04NSJUsBOsB+rcVr+d5Gnr0Qe3ndnvz84OWXYdOmQudZiAfK00/DmDGQng5PPQWx\nsbaXCwgIuK/5EqIgpBZB2Cspm8JeSdkUxUmzZs2IiYkhISGBtLQ0Vq5caRkFxiwoKIjly5cDEB0d\njaOjI76+vvlatyAeKvsQ3Wp3w6RM3Ei9wY3UG1xPuV6gbeRZA7tvn24yDGAywS+/wLX8jzNr06pV\nq5g4cSK//fYbe/fupUmTJgDExsZSr1496tatC0CLFi2YPXv23/nYx7PPPktqaiodO3Zk1qxZd5YJ\nIe6SadPg8GF9Y6dXL91DsYtLUedKCCGEEEIIcHFxYc6cOXTp0gWTycTgwYNp0qQJ8+bNA2DEiBH0\n7duX7du34+/vj7OzM4sXL8513cKaaJx4x8djUHk0djYabwewDg66FnbMGGjQoPA7/e2333BwcGDE\niBHMmDHDKoDt3r07hw8fzrZOo0aNWLp0KYGBgfTq1YuhQ4dmG4rHYDDIM7CiSFy+DM2bwx9/wOjR\nMHOm9fvyDKywZ/Isl7BXUjaFvZKyKeyZPcZEw9YPY+QjI2nm28zm+1HxUczdN5fFPRfnua08a2AX\nLYKaNa3nnTqVv4zmxFzDml+nT5/GZDJZumsOCQkhPDw8x7FkhbjfypaF5cuhZUs9zFS3bvD440Wd\nKyGEEEIIIYre6MdGM/3n6eyO383DXg9TqUwlFIrEG4kcu3iMllVa8kbLN/K1rTwD2H79IDrael7f\nvtnn3S2xsbEEBARQqlQp3nvvPTp06JCtW2dfX1/i4+Ntrh8aGkr16tUB8PT0JCAgwHKHzNzls6Ql\nfS/SSUmRDB4MS5YYef55mD07Emdn/X5AQACXw8I4mOmObVHnV9KSNqeNRqNd5UfSkpa0pItD2sxe\n8iNpSWdO25uGPg35sveXpKSnsD9xP39e+RODwUA1j2o0rtgYlxL5f/4uxybEv/4KR4/q5sIffQRK\n6abEN2/C5Mlw/HjuG+7UqROJiYnZ5k+dOpXu3bsD0L59e6smxKmpqSQnJ+Pu7s7+/ft58sknOXLk\nCEePHmXKlClEREQAsGvXLiZNmsSmLL1J2WN1ufhnSUuDpk31M7ETJujvCqCbDr/3njQhFkIIIYQQ\n99SDHhPlWAN77Bh8+y1cvapfzVxd9dAhedmyZUuBM+Pk5ISTkxMAgYGBNGjQgN9++40qVapYdd8c\nHx+Pn59fgbcvxL1WsiTMng1t2sAHH8CQIVCrFhw4cADph1jYq8jISMudWyHsiZRNYa+kbApRdHIM\nYHv10tOuXdCixb3LQOa7A5cuXcLT0xMHBwdiY2OJiYmhVq1aeHl54eDgwP79+wkMDGT58uUMGTLk\n3mVKiDvQujUMHQpLl8KUKfpVCCGEEEIIcedybEL8wQcwdqwe9zXbSgb49NPC73TdunWMGjWKixcv\n4uHhQWBgIBEREaxevZqJEyfi4OCAUoqJEyfSt29fwHoYnccff5xPbWTgQa8uF8XHqVNQp45uev/b\nb1DrtDQhFkIIIYQQ915xiImup1zHzdmtUOvmGMB++y107w5LlthYyaBrmOxNcfiwxD/H8OG6F++h\nQ2HJEAlghRBCCCHEvWfPMdEPsT8wfMNwUjJSiBsdR8z5GD6N+pT53efnext5jgNbnNjzhyX+eU6e\nhNq19fjJP7w7k5bbZBxYYZ/kWS5hr6RsCnslZVPYM3uOiQLmBrBh4AZ6ftOT/SP2A9BgdgNiXozJ\n9zZyfAb2746CbTIYYMOG/GdUiH+imjWhY0f43//g4EFoWdQZEkIIIYQQIpNLly4RHBzMuXPnqFSp\nEitWrMDT0zPbcps2bWLMmDFkZGQwdOhQxo4dC8Brr71mGRmmZs2aLF26lPLly+e4P4WiqkdVq3kG\ng6FAec6xBja3IYQMBmjXrkD7uS/s+W6D+GdauhRCQ+GVRtv4pLw0IRZCCCGEEPdWQWKil19+mYce\neohXX32VTz75hFOnTjFr1iyrZVJSUqhbty4//fQTPj4+tGjRgvnz5xMYGMj27dtp164dDg4OvPXW\nW6SkpPDxxx/nuL8nv3qSca3H8VLES+x9bi9zf5nLlpNbWD9gfb6PL8ca2MytIm7dgpgY3RSyQQNw\nds739oX4R+vdG154AQ4dguSWkP8hmoUQQgghhMhbZGQkkbnVPubiu+++Y8+ePQCEhITw2GOPZQtg\no6Ki8Pf3x9fXF4Dg4GDCw8MJDAykffv2luVatWrFsmXLct3fgh4LeDH8RU5cOkH5D8vTsWZHFnTP\nxxitmeQYwJqtW6d/gNetq9PHjsGcOfqHuRAid+7uujn+xVUHOH8Oqua9ihD3nTzLJeyVlE1hr6Rs\nCntiNBqtyuOkSZPyve6FCxcsTX69vLw4f/58tmXi4+OpUqWKJe3n52czYJ4/fz4DBgzIdX8Vy1Rk\nbfDafOfPljwD2DfegKgoqF5dp0+d0s/13UkAm1tb6WnTprFs2TIcHR2ZMWMGnTt3BqyH0enYsWO2\nOwNC2KuuXWHZKrh+w3q+UnD5Mjg5QZkyhdt2RgYkJMC1a7qFRLly4O2t/y4KSsGNG3DpEiQlgcmk\nJ4NBH2OZMuDm9s9uxZGeDikpkJqqXzP/bTLpz85guP2a+e+SJcHV9fZUIs8ruBDWlNLlLD0978m8\nfGFeQZdZR0c9OTgU7m8hhLB3St2+tppfzdOdprPOM+8vt1dbOnXqRGJiYrb577//fr6OMT/PqL7/\n/vs4OTnx9NNP23z/5YjsY7MaMKBQGDDwadf8j9Ga58+fChVuB68ANWroH8h3onv37nz00UeWttLv\nvfceH3/8Mfv27WPt2rUcPnyYxMREWrduze+//07JkiV55plnWLp0KYGBgfTq1Yt169bRW6qBRTFQ\nowZAAMnJGy3zVqyAESPg6lVwcdFD7owfD5Ur5729ixdh+XJYtQqio3UT/8xKl4ZGjfSNph49oGlT\n/UPybsrIgP374aef9Di3x47B8eNw7tztH7658fDQx1qpkj4/Dz+sJ39/3fnV3c7vvXTlCpw+DWfO\nwNmz+vXMGR3EX7mip6tXb/+d9fO6EyVK6EC2VCn9Wro0eHpC2bJ6yvp3uXJQseLtyclJb0dqEYqG\nUvrmxfXr+sZPXq/JydZTSkr2eVnfT0uzHZgWH0ZKltRl1fyaeco6L7dlXFysbwDZmnJbxsWl6G4O\nCvsj183CS0vT16jU1Ns3cM1/F2TKbT3z9S4jI/s10Na8wi5rDjDt3ZYtW3J8r0KFCly8eBEvLy8u\nXLiAt41Az8/Pj7i4OEs6Li7OqkZ26dKlhIeHsy2Xvl6aVmpqCVizMlCwH355BrCBgfDkk9Cvn06v\nWQMBAbD275rfPn0KtD+AHNtKh4eHM2DAABwdHfH19cXf35+oqCiqVq2KyWQiMDAQ0O2zw8PDJYAV\nxULVv9sNJyfr159/hiFD9AXWzU3/OP3Pf3TP3j/+aH3DKDOTSTfff+cdHQiZVayoAxSTSQe3f/0F\nu3bpacoUaNwYxoyBgQPv7MdXUpL+/q9bpzt5u3zZ9nKlSulAqXTp2zUpJhPcvKmP9do1HdBdvQq/\n/pp9/fLloXlzePRR6NRJv9pDTUxiIvzyi+4P4Pffb08XLhRsOwaDroHOOjk56XOV9S5u5ju7aWk6\nAL51S38e6en6nF6/XrhjKldO30SoVEmXo0qVoFo1fROhRg1dFl3kwe18ycjQZeHsWX0j59Kl7NNf\nf1mnr1wpmoDSwUHf/MhtcnS8fSOpsK8mkz4v5tfC/A263Kel3dtzkl/OztatSTK/5neeu7u+Znt4\nSCsKYT/S0/WNsps3c35NStL/f5KTrV8LOs/83X7QODhYT+YWVIVNZ51nbpUFeb/u35//fAcFBREW\nFsarr75KWFgYQUFB2ZZp1qwZMTExJCQk4O3tzcqVK5k3bx6geyf+8MMP+eGHH3DJ5UdDaEBo/jOV\nhzwvnbdugZcX/PCDTpcvrwvft9/qdGEC2Mwyt5VOSEigQ4cOlvf8/PyIj4/H0dHRKsr39fUlPj7e\n5vZCQ0Op/ncE4OnpSUBAgOUumbmttqQlfT/TLVoYgQOkpFwhPDyS4cONpKZC796RjBoFFSoYefZZ\n2L07khYtYP9+IxUrWm/PZIJu3SLRLe+NPP44tGoVySOPQPfu1vtr0MBIVBQsWBDJtm1w8KCRkBB4\n94X4vPQAACAASURBVN1Ixo6F554rWP4bNTIycyZ88kkkN2/q/QNUrBhJYCA88YSROnXg0qVIvLyg\nc+fct9eunZHLl2H9+kguXoTSpY389hv8/HMkJ07AX38ZiYiAiIhIJk6EcuWMdO4M9etH8thj0KnT\nvf/8lIKwsEj27YPTp43s2QMJCfp98/GDTru6GqlWDUqViqR8eWjSxEilSnDhQiRlykCbNkY8PeHo\nUZ1+4gkjBsOd53f79kjS06FZMyO3bun0rVtQu7Y+v7t3R3L9OpQvb+TKFfj110iuXYP0dCNnz0Ji\nYuTfgZSRI0fMx5b9+CpXNlKjBpQuHUn16rq81a8PsbGRODgU/ffrfqRTUmDVqkjOngV3dyNxcRAd\nrc9faqrx76A18u+78NbnL690yZJG3NygRIlISpUCHx+dTk6OxNUVatUyUqaMLk/OzuDvb8TFBU6d\nisTJCZo21emjR3W6VSud3r9fp41GIyVK6O+XoyN06GDEwcG+zm9uaZMJWrc2snVrJGlp0Ly5kbQ0\n2LFDpwMC9PU0Kkp/H+rX1+n9+3W6Vi2djomJJDUVfH319+X33yNJSdHXl1u3IC5Op11ddfriRZ0G\nnb55U+8vJUWXh7/+yt/nm1e6TBkjZcvqz9/NDapX1+kbN/T1IjBQXz/i43W6Y0cjFSro4/mnfP/s\nNX3gwAFeffXVIs1P69ZGrl2DzZv1/+fatY1cvaqv/zdvgre38e+bxTpdqpSRmzfh7Fn9/0Ipnb52\nLfLvm2l6+4Utz/lNGwz6elaqlBEnJzCZIilZEjw8dDo5Wae9vXX62rVISpQAPz+dvnhRp2vW1Okz\nZ3S6bl0jzs76+ujoqK+XJUro77ujo/49U6KEvl46OurrZ4kScPCgTj/6qE5HR+t0y5Y6vXevTrdt\na8TREXbt0un27XX6hx8iMRjsq3xmqivM06RJkwgODmbRokVUrFiRlStXAnDmzBmee+45wsPDcXFx\nYc6cOXTp0gWTycTgwYNp0qQJoHsxTk1NpVOnTgC0aNGC2bNn57i/7l93t6qJNWDApYQLj1R+hJeb\nv4xrSdc885zjMDp3Kqe21lOnTqX734PMvv/++0RHR7NmzRoARowYQYcOHQgODgbghRdewGg0Uq1a\nNSZPnkxERAQAu3btYtKkSZbnaC0HI8PoCDvVy30mo65v5GzYNkJCdKdohw/fvvt+9aqubdy7F557\nDubPt17/xRd17WupUnponr5989fMNiVFNzeeOBHi4nRTuhkz4OXsjyFkoxR8/bVe9tIlPa95cxg6\nFJ54QtfS3W1K6ea4UVGwYwdERMCJE7ffr1BB114//zzUqXP3933wICxbBqtX63xk5uamm2M3bqyb\nO9epo18rVy6ezQozMnSN4Nmz+sePt7eRhASIjdV9HZw6BX/+mfOdcldX3eT7kUf01KwZ1K9ffGuU\n0tP1MR89qqfffoOTJ/W8M2fy10SsQoXbzbPLl9c13LYm83seHv/s58HzIzIy0vKjrKiZTPoGvrk1\nyY0btpt65/S3ubXE9eu6BcuVK4Vvemgw6DJUoULOk7e3vj75+urrV3F6NKM4uJtlMzVVX4/Nk7k1\nla155sdSrl7l75vKd4eDg24hULq0nsx/Z55XuvTtZvaZm9vb+ju390uWvHv5FrbZc0w0KmIUl25d\nItg/GIVi9dHVlHYqjQEDF5IusOqpVXluI88A9vhxmDVL//g1PzxsMOjmjndi6dKlzJs3j23btlmq\nm6dMmYKrqytvvPEGAE8++STjxo2jatWqdO3alZiYGABWrVrF5s2bWbDAustle/6wxD/bv+pto+9v\n77E4ZBthYToIXLLEepljx3QA4OCg/zYHiDt2QNu2+qIfHg4dOhR8/0lJuhmx+YbY++/rZ25zkpGh\nex83f8Xat9frtGhR8H3fqePHYf16WLxYBxagr0HBwTB5MtSufWfbT0qChQv1TYO/LzGAbnnSsaOe\n2rSBWrWKZ6B6J9LTIT5eB3LHj98O7o4e1UFdVq6uOpB9/HE9NW9unz9U0tL0DaS9e/+/vTuPi6pq\n4wD+m0FQhMQVMuEVC0tBNhdeLTXUlxCMxC3FpVyoNDUrc+lT5pKg5ZaarZaZWmGWipKoiaSmaaIo\nmJoLyGIqiKYCCjj3/eNxZkBAQBlmGH7fz+d+4M7cmTnDnGHmueec55Ht4EGZzp6XV/LxFhaAk5N+\nWnXz5vqp19rp1w4OpvlcyXRpNBLMatfHa4Na7c+7L7tyRQKYS5f0JxXLy8ZGgtm7t2bNAEdH6dsP\nP1zz/scZUkGBvFYXLhTdZAaMfrt48f6XgahUMiXdzk62+vX1v9+91asnJzJKCk5tbeVkGk9ymA9T\njon+u/y/2B+6v8hlHZd3xL5R+9ByaUucfu10mfdR5rnyZ58Fxo6VqcLaf2wP2sFLmysdGBiI0aNH\n4/XXX8eFCxeQmJgIHx8fWFpaQq1W4/Dhw/D29saaNWvwwgsvPFgjiKqQvQOAE8DWrbLv6lr8mCee\nAIYNkxHW99+XgA0AZs+Wn5Mn31/wCsjI7bJlElyMHAm8846swRozpvixBQXAkCHA2rUSkCxdKrcx\n1gdby5aSDX3iRODAAeDLL4FvvwV++EHW4r/1FjB9uj4hUXkVFEjQOmOGfh1rw4ayVnjoUAm+avqX\nuVq1JGBzdi7e965ckRHrgwf1QeDZs7KOe9cueU1sbOTkS2CgzBpo2tQYz0JmIuzbB+zYAcTESPIz\n7Zr0wpyc5L3ZurVsLi7yxd7RkcEpVT61Wh9cNG9esdsWFEgwm5FR+nbxogRL6ekyUnfqlGylqV1b\n2tGiRdHtscdkxsn9Zss3V9euyUydc+dK/nn+vH7gpywWFjIzo/DWuHHxyxo10q+ftrOT16Smf05R\n9ZOVm4W0a2lwrOcIAEi7lobLuZehUqnwUO2HynUfZY7AduokH/yVqWXLlsjLy0PDhg3vPIZ+rnR4\neDhWr14NtVqNBQsWwN/fH0DRMjo9evTAkiXFUy2b8tkGqtlm+S5E5982owckO9vmzUCvXsWPO3NG\nviioVPLhmJgoSYxsbeVD8c5b5oGsWCEBad26cv+SJVkvLEwSRdWrJyO+nTs/+GNWttRUCZC0QX77\n9pLZubzTmk+elEBVm+SgQwc5QfDccxUPhM1BZU2Fu3xZgtcdO2Q7cUJ/nUolwWxIiJwgMfSX4evX\npf+uWydT0XNyil7fsqW87trN3V36PJkWU5pCXF0pinyeaDOka7f0dNlSU2WqfGbmve/HyUlO7LRq\npf/p4VE5n0um6uZN4PRpfdK+U6f0v1+6FAv9Gs/iVKqiywq0ifLu3ndwkGCUo59UmUw5Jlp/fD1e\n/eVVPNHoCQDAicwTWBa4DIEtA/HpwU/xZqc3y7yPMgPYVatkTdT//ld0rc6ddbsmxZRfLKrZlvRZ\niDYb9AHs2bPFA0ctFxcJZP/6S4LJNWuAqVOBOXMqrz2DBknA16MHsH27/oPz2DF5b+flAdu2ybpc\nU/b77xIMnTsn67127ix5dLuwDRtkhDU7W0YbFi6UutY1+cuDoYKE8+eBX3+V7NXR0fopunZ2Ujpq\n3LjS3wf36+BBWfaybl3RUdY2beRzTBKgySgGmT4GsFXn+nX5X5qUVHQtvHbktrQp9s2by+eGduvY\nsXoGtZcuAXFxMrPk6FH5efJk6XkArKxi8eijvvjPf6TaQPPmKPJ7s2Y184QomQZTj4ly8nOQeCkR\nKqjQxr5NuRI3FVZmADt1qgSxd6//2rnzvtprUKb+YlHNtWdWDPKmz0YPxMDaWhJ6lDbtx89PvvRH\nRcn7LyFBps526FB57cnIkDPoly/LGlvtKGvXrrL/8svAnezoJu/KFeD55+VvZm8vI4BPPFHysRs3\nSkmwggIJ4r/4QtYEkeH9+6/8/T//XEpJAfIeePFFYOZMGd25X4oi9z1vnv6+AQlU+/eX6csPcv9E\nNZ02ydmJE7Je/PhxOcmakFBybes2bSR3QNeu8rNZs6pv873cvi0nbPfu1W+FEwZqqdVFa5U//rh+\nq64J/KhmMOWYSFEU7Dq3Cyn/pkCjaKC6M4Lwgmf5l4eWGcC6uMg/qepwFsmUXyyq2f7+PAZpoyWA\nbdtWzvKW5qWXJHnS0qUyrTU3V4K0+vUrt00TJ8ro48SJwPz5kqzHyUnWLZ4/X72mU+bmAsHBMmrc\nrp0se7h7zeKBAxKo5+cDU6bIiHZNHnU1prg4YMkS4Lvv5IuxjQ0wd65k267oF8KjRyVPw549sm9n\nJ++hsWNLr6lMRJWjoEBGKQ8flrXl2sRoUoJIz91dcqoEBUl+AWPU9r5wQfJQREfLZ8XdibBsbPSZ\n5j09ZXq0m5sstyGqbkw5Jhrw4wCkX0uH18NesFDr/xksDVha/jtRytC3r6JkZJR1lGkox9MhMoo9\nsxYoO9BNARRl6NB7HxsWpiiAooSEyM/GjQ3Tpl275P5dXBRFo1GUL76Q/d69DfN4hnbtmqI0by7P\nYdasotfl5yuKp6dcN3q0PF/S27lzp1Ee99Qp+YyRMVRFCQhQlKtXy3dbjUZR5s1TFCsruW2TJoqy\neLGiXL9u2DZT1TJW36T7d/OmouzerSjh4YrSs6ei2Nrq3+OAojg6KsrUqYpy/Ljh23L5sny2deum\nKCpV0Xb85z+KMniwonz8saIcOiSfExXBvkmmzJRjopZLWiqaB/wiVua57sxMSXbxzDNy5iwoSBKd\nEFH51bXRjyyVtUZTuybw11/lp4uLYdr05JOS5fD0aZkO9ssvcnlgoGEez9AeekjK4QBSXic9XX/d\n0qWynsnZWergcuTVNLi4yPrYn3+W7Jpbtki//Oefe9+uoAAIDZXSUHl5wCuvyBq9115jplQiY6td\nW2a7vP22vKcvX5ZcC6+9JmtD09JkxkXr1vJ+//HH0teZ3q9jx4ARIyRJ0ssvy7I3S0sgIEBmf/z9\nt6zzXbNGZmt4e1ffGtZEDyorKwt+fn7w8PCAv78/rl69WuJx0dHRcHd3h6urKz744INi1y9YsABq\ntRpZZdT5atu0LS5lX3qgNpc5hTg2toQbqYCnn36gxzUIUx4upxouJgZ/BM1Gp5wYbNgA9O5d+qF/\n/FG03urQobIO3RBGjpRMvtOnS2B344ak/6/O6wX79JFETR99BEyYIMFOkyZSS7G07M9kfElJcoL0\n2DH5MrlrV8nBqKIAgwdLGSVra5mGHBxc9e0loorTaCT53sqVUqpNW/+0VSspGde374OdYNy/X9bU\nb9ki+yqVJG8LCZHPhspeikNkqioSE40fPx6PPfYYXn/9dXz00UdISkrC4sWLixxz69YttGrVCnv2\n7IGDgwM6deqEL774At7e3gCA1NRUvPTSSzh58iTi4uJ0lWZK4vuNL+IvxMOnmQ9q15IMwSqoEBkS\nWf7nV1YAe7fdu4HvvwfuVL0xKQxgyWTFxCA5dDaerRuD3bvvnQH1woWi9TJnzJAA0xA2bpQv/5aW\nsjbU3V3WFFZnERGSoKlTJ0nMsW+fnOV//HFZq0WmKyNDXqvTp+Ukz/r1xb/MLlkiJybq1dOP2BJR\n9ZOdLYHs/PlyAguQ2X6ffVbx7ORZWZLP4ZtvZN/aWk7QvvGG1LElqmkqEhM99thjOHDgABo1aoTM\nzEx07NgRp0+fLnLMrl278OGHH2Lz5s0AgPnz5+PmzZt49913AQADBgzAtGnT0Lt37zID2Njk2OLt\nhQpPO5d/dLRc6TIOHZKpWs2bA9OmybSPB/Hmm2/C1dUVrq6uePbZZ3H58mUAQHJyMqytreHt7Q1v\nb2+8+uqrutvExcXB29sbbm5umDBhwoM1gKiKxcfHw9lZ6q6WVb7DwUE+fLUMNYUYkOnCffpI8Krd\nr+569ZK/3759MpocI5WL0KOHcdtlymJLmmpjBE2aSFBqZycnV7ZuLXr9oUPAW2/J7ytWMHitCUyl\nb1Lls7GRxG0nTgDLlsln47ZtgJeXzJYpr7175TbffCMJR6dMkf/9H39s2OCVfZNMSWxsLGbMmKHb\nKiIjIwONGjUCADRu3BiXLhWf3puWlganQtPzHB0dkZaWBgDYuHEjHB0d4eHhUa7H83X2LbJZqCwQ\ncSyiQm0udcb/yZMy0hoRIV8qBgyQqVuV8X4NCgrC/PnzoVarMXXqVMyePRuLFi0CALi4uODw4cPF\nbjNixAisXLkS3t7eCA4Oxvr169GnT58HbwyRiVGpZK3m8eOyb8gA1tJS1h/GxsqaW21wUJ3Z2koQ\nu26dbNoAtnt347aLysfFBXj3XTlpOnmylJXSZix9/3052TJmjEw1JKLqz8pKAtn+/YHRo2XmxXPP\nSe6CsWPvfdtNm+R2eXnAf/8ry21atqyadhOZEl9f3yI1s2fOnFnkej8/P1y4cKHY7cLCwsp1/6q7\npkNpR3dzc3MRHh6O7du3F7vuXg79cwjfJ36PtcfWokX9FujXul+52qFVagDburWkPN+6VYoyA1Jy\nozJ069ZN9/tTTz2FVWUs8EtJSYFGo9HNsx46dCiioqJKDGCHDx8O5zu1E+rXrw8vLy/dC6o9W8Z9\n7lf1vpeXF66sXo0jsbHlOr5FC+D4cdl3cTF8++SiWMTHm8bf60H3n38eWLcuFvPmAVeuyPWWlrGI\njTWN9pnavq+vr0m1Z9w4YN68WCQkAN9954thw+T1jIwEatXyxXvvmdbfj/vc537l7P/0ky/mzAHe\neScW48YBDRr4YvDgko//4w9g2jRfFBQAzz0Xi/HjgZYtq7a9Wqby9+M+9wvvF1Y4wLxbkyZNkJmZ\nicaNGyMjIwP29vbFjnF0dERqaqpuXzsie+bMGSQnJ8PT01N3ebt27XDgwIFi93My8yS+T/weEcci\n0KRuEwxwHQBFURA7vHh7y1RaeuL16xXl+eelLMUrryjKr7/K75Xt2WefVVavXq0oiqIkJSUptra2\niqenp9KpUydlx44diqIoyu+//6707NlTd5u9e/cq/v7+xe7rHk+HyLh27JA8/uX06quS5r9BAwO2\nyYzduqUvmwMoipeXsVtEFbVsmbx2AwbI/uzZst+3r3HbRUSG9+GH8n6vVUtK3NwtPV1RGjaUYyZO\nZGk0ortVJCYaN26csmjRIkVRFGXhwoXK+PHjix2Tm5urNG/eXElLS1Py8vKU9u3bK3FxccWOc3Z2\nVi5fvlzi46hmqJSg74KUc1fP6Y//yLnc7SxMXVpgGxws04cTE4EuXYBFiyTBxpgxskahLH5+fnB3\ndy+2bdq0SXdMWFgYrKysMGTIEADAI488gvT0dMTHx2PZsmUYNmxYqamciaqT+Pj4Ch2vTWBhyOnD\n5szKCli9Wso5AJw+XJaSztYam3Z96+HDkrn0yy9l/+WXjdcmqnqm2DfJ8CZNkvJYBQVSfqfwjERF\nkRI5WVmAvz8wb55xSqOxb5K5mDlzJqKiouDh4YEtW7Zg1qxZAIDz58+j153SDXXq1MGnn34Kf39/\neHp6om/fvmjbtm2x+7p7qnFhPw/8GdaW1ui6oitGbx6NHWd33Hfy3TKrXtnaAkOGyJaVJWvK5s6V\nTHH3cq+hagBYuXIloqKiEKNdoAbAysoKVlZWAABvb2+0adMGJ06cgJOTU7Fha0dHx7KaTlRt3Zkt\nj3btjNuO6qxNG8lmOXs2MHy4sVtDFeXqKmu0T5+W9dnnzslyFj8/Y7eMiKrC3LmSo2HPHn12eUAG\nUbZtk9rRX3/Nut5ED6phw4Ylxm2PPPIIoqKidPsBAQEICAi4532dPXu21OuCWwUjuFUwbuTdwMYT\nG7Hoj0XIyMnAmKgx6NOqD555rIzgspBSR2BL0rChnP0uFHPel+joaHz44YeIjIxEnTp1dJdnZWVB\no9EAkIzEiYmJcHFxgZOTE9RqtS6505o1axBoDulSqcbw8vKq0PHdu0s9u/nzDdSgGmL4cAmA3N2N\n3RLTpl03Y0qsrOQkBCA1igHJy6Cu0KcWVXem2DepatSvD8yZI7/fGRACoK+LPmEC8MgjVd8uLfZN\novtja2WLIR5DsHnwZqS+kQrvh70xd8/cCt1HhevAVoaWLVsiLy9PVyOoU6dO+OSTT7Bu3TrMmDED\narUaiqJgxowZ6NdPslLFxcUhNDQUeXl56NGjB5YsWVLsflkHlkxWTIwMBT7o2R+iGiQ0FPjqK/3+\nTz8x+zBRTVJQIIFsdrbUSLexkVJzOTnAmTPAo48au4VEpsncY6IypxAbwqlTp0q8vH///ujfv3+J\n17Vr167E8jpE1UF8fDwqNgZLVHViY2NNcjRBO5UekGmChRLYUw1hqn2TqkatWkCnTrKMYM8eIDdX\ngtennjJ+8Mq+SWQ8nIxFREQmqXAA27490KCB8dpCRMbRubP83L1bP3146FDjtYeIjM8oU4gNxdyH\ny6ka4xRiogrLzgYeekiyjr79NhAebuwWEVFV27ED+N//gKZNgX/+AerUAdLSJIkTEZXM3GMijsAS\nEZFJsrGRbMSAfIElopqnY0fAwkKCVwAYNYrBK1FNxwCWqApUtA4sUVUy5XqGy5cDH3/M9a81lSn3\nTaoaNjaAttykhQXw1lvGbY8W+yaR8TCAJaoCp8+cMXYTiEplyidYOnYExo5lrceaypT7JlWdp5+W\nnyEhgLOzUZuiw75JZDxGCWDfffddeHp6ok2bNujatWuRordz5syBq6sr3N3dsW3bNt3lcXFx8Pb2\nhpubGyZMmGCMZhPdt+wbN4zdBKJSXb161dhNICoR+yYBwJQpkkbio4+M3RI99k0yF1lZWfDz84OH\nhwf8/f1L7dvR0dFwd3eHq6srPvjggyLXLV26FJ6ennB3d8ekSZMM3majBLBTp07FkSNHkJiYiAED\nBmDmzJkAJEj9+eefkZCQgOjoaLzyyivIz88HAIwYMQJff/01jh07hnPnzmH9+vXGaDoRERERVaHG\njYF33uHaVyJDmD59Onr16oWjR48iICAA06dPL3bMrVu3MGbMGERHR+Po0aNYt26drrxpVFQUtm7d\niri4OCQkJGDq1KkGb7NRAlhbW1vd7zdu3EDTpk0ByB9g0KBBsLCwQLNmzeDm5ob9+/cjJSUFGo0G\n3ndqKgwdOhRRUVHGaDrRfblw4YKxm0BUquTkZGM3gahE7Jtkqtg3yVz88ssvGDZsGIDSY6z9+/fD\nzc0NzZo1Q61atTBw4EDdcV9++SWmTJmCWrVqAQAaVcGZploGf4RSvPPOO1i1ahWsra1x4MABAEB6\nejq6d++uO8bR0RFpaWmwsLCAk5OT7vJmzZohLS2txPtVcaEUmaipABfykclauXKlsZtAVCL2TTJV\n7JtkDjIyMnRBZ+PGjXHp0qVix6SlpRWJxRwdHXWJzE6ePImtW7di/PjxsLa2xoIFC/Dkk08atM0G\nC2D9/PxKHHUKDw9HUFAQwsLCEBYWhrlz5+L111/HihUrHvgxzbneERERERERUUWVFpeFhYWV6/Z3\nDxAWjrk0Gg2uX7+O+Ph4/Pnnn+jXrx/OnTtn0EFFgwWw27dvL9dxgwcPxjPPPANAovnU1FTdddpo\nv6TLHR0dK7fBREREREREZuZecVmTJk2QmZmJxo0bIyMjA/b29sWOKS1GAwAnJyf07dsXANChQwdY\nWVnh4sWLePjhhyv5WegZZQ1sUlKS7veNGzfC3d0dABAYGIiIiAgUFBQgLS0NiYmJ8PHxgZOTE9Rq\ntW6x8Jo1axAYGGiMphMREREREZmFwMBArF69GgCwevXqEmOsDh06IDExEenp6cjPz8fatWsREBAA\nAOjVqxdiYmIAAH///TdycnJKDIIrk0oxwrzbvn374syZM8jPz0eLFi2wfPlyXSKn8PBwrF69Gmq1\nGgsWLIC/vz8AyVAcGhqKvLw89OjRA0uWLKnqZhMREREREZmNrKwsDBw4UDdqunbtWtSvXx/nz5/H\nSy+9pEvWtGXLFkyaNAkajQbDhg3D22+/DQDIz8/HyJEjdQONCxcu1M2uNRSjBLCGEB0djUmTJuH2\n7dt48cUXMWXKFGM3iWqokSNHIioqCvb29khISABQ9J9D06ZNERERgfr16xu5pVQTpaamYsiQIbhy\n5Qry8vIwatQoTJ48mX2UjO7mzZvo0qULCgoKkJ2djV69emHRokXsm2Qybt++jfbt28PR0RGbNm1i\n3yST4ezsjHr16sHCwgKWlpY4cOCAWfdPo0whrmz3qk1EVNVGjBiB6OjoIpeVp8YWUVWwsrLCJ598\ngoSEBMTFxWH58uU4cuQI+ygZXZ06dbBr1y4cPnwYf/31F/bt24edO3eyb5LJWLx4MVxdXXXJadg3\nyVSoVCrExsbi8OHDuuou5tw/zSKAvVdtIqKq1qVLFzRo0KDIZeWpsUVUFRwcHNCmTRsAUpPbw8MD\n6enp7KNkEqytrQEAeXl5uH37Nuzt7dk3ySSkpaXhl19+QWhoqC4DK/smmZK7J9Wac/80iwC2pNpE\npdWJJTKG8tTYIqpqycnJ+PPPP9G5c2f2UTIJGo0GXl5ecHBwQLdu3eDm5sa+SSbhjTfewLx586BW\n6786s2+SqVCpVPDz84OHhwc+/vhjAObdPw1WRqcqGbLOEBGRObpx4wb69++PxYsXo169esZuDhEA\nQK1WIz4+Hv/++y/8/f2xc+dOYzeJCJs3b4a9vT28vb0RGxtr7OYQFfPHH3/A3t4eGRkZ6NmzJ1q1\namXsJhmUWYzA3l2bKDU1tciILJGxaWtsASi1xhZRVcnPz0e/fv0wZMgQBAcHA2AfJdNiZ2eHXr16\nYf/+/eybZHR79+5FZGQkWrRogZCQEMTExGDYsGHsm2QytH2vSZMm6N+/P/7880+z7p9mEcDeqzYR\nkSkoT40toqqgKApGjRoFV1dXvPHGG7rL2UfJ2C5fvozr168DAHJzc7F9+3a4u7uzb5LRhYeHIzU1\nFUlJSfjhhx/QvXt3rFq1in2TTEJOTg5ycnIAANnZ2YiOjoabm5tZ90+zKaNTWm0ioqoWEhKCK1jN\n0AAABURJREFU3377DZmZmXBwcMCsWbPQu3fvEmtsEVW1PXv2oGvXrvDw8NAtv5gzZw58fHzYR8mo\nEhIS8MILL0BRFNy8eRODBw/Ge++9V2qNQiJj+O2337BgwQJERkayb5JJSEpKQnBwMFQqFXJycjBo\n0CDMmjXLrPun2QSwREREREREZN7MYgoxERERERERmT8GsERERERERFQtMIAlIiIiIiKiaoEBLBER\nEREREVULDGCJiMhsWFhYwNvbW7elpKQYu0mVIjY2FkFBQUUuGz58OH766ScjtYiIiMg4ahm7AURE\nRJWlbt26OHz4cInXaZPua8sHVXcqlcpsngsREVF5cQSWiIjMVnJyMp544gkMHz4cXl5eSEtLw6xZ\ns+Dh4YHWrVsXqRn+3nvvwcXFBb6+vggJCcGCBQsAAL6+voiLiwMAZGZmokWLFgCAgoICjBs3Dp6e\nnmjdujWWLFkCQEZLfX19MWjQIDz++OMYMGCALnj+/fff0b59e3h5ecHHxwc3btzA008/jSNHjuja\n0blzZyQkJJTr+SmKgri4ON2Is7u7O9RqfrQTEZH54ggsERGZjdzcXHh7ewMAHn30USxcuBCnT5/G\nd999h3bt2iEyMhLp6ek4evQoNBoNevfujV9//RU2NjbYsGEDjh8/jvz8fHh6eqJDhw4ASh/p/OST\nT9C0aVMcOXIEt27dwpNPPomAgAAAQHx8PE6ePAl7e3s89dRT2LVrFzp27IiBAwciKioKnp6eyM3N\nhZWVFUaNGoVvvvkGixYtwt9//41bt27B3d292OPt3r1b99wAICUlBUFBQWjXrp1u1Hny5MkIDAys\n9L8rERGRqWAAS0REZsPa2rrIFOLk5GQ0b94c7dq1AwBs27YN27Zt0wWC2dnZSEpKwtWrV9G3b19Y\nWlrC0tISzz33XJmPtW3bNpw6dQrr1q0DAFy7dg1nz55FnTp14OPjAwcHBwCAl5cXUlJSULduXTg7\nO8PT01PXVgDo378/3n//fcybNw9ff/01RowYUeLjdenSBZs2bdLtjxgxQjeyCwARERE4dOgQtm/f\nXu6/FxERUXXDAJaIiMyajY1Nkf1p06Zh5MiRRS6bP39+kWCw8O9qtRoajQYAcPPmzSK3++yzz9Ct\nW7cil8XGxqJ27dq6fQsLC2g0mlLXq9atWxd+fn7YsGEDfvzxRxw6dKgCz04kJiZi5syZ2L17N9fF\nEhGRWeNCGSIiqjH8/f2xYsUKXSB68eJFZGZmonPnztiwYQPy8vKQk5ODzZs3627j6OiIgwcPAgDW\nr19f5L4+//xzXXCblJSE3NzcEh9XpVLBw8MDycnJiI+PByCjv7dv3wYAhIaG4rXXXoOPjw/s7OzK\n/XxUKhWuXr2KkJAQrFq1Co0aNarAX4OIiKj64QgsERGZjZJGHwtfFhQUhL/++gtt27aFlZUVateu\njR9++AEdO3ZEcHAwXF1d4ejoiA4dOuhGYSdNmoR+/frhq6++Qs+ePXX3N3bsWCQnJ8PNzQ1WVlZo\n0KABIiMjS10za2VlhYiICIwcORIajQZ16tTBjh07YGNjg7Zt28LOzq7U6cP3yjgcGRmJlJQUhIaG\n6o69n1FcIiKi6kClFJ4nRURERJg5cyZsbW0xceLEKnm8f/75B127dsWpU6eq5PGIiIiqK04hJiIi\nKkFVrSX99ttv0blzZ4SFhVXJ4xEREVVnHIElIiIiIiKiaoEjsERERERERFQtMIAlIiIiIiKiaoEB\nLBEREREREVULDGCJiIiIiIioWmAAS0RERERERNUCA1giIiIiIiKqFv4Pt0xNTB6OTpIAAAAASUVO\nRK5CYII=\n",
"text": "<matplotlib.figure.Figure at 0x4936790>"
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAA6YAAACcCAYAAABsi7a9AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSkRERERERJL6f5gg4QnY+tu9AAAAAElFTkSuQmCC\n",
"text": "<matplotlib.figure.Figure at 0x4956d10>"
}
],
"prompt_number": 25
}
],
"metadata": {}
}
]
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment