Commits

Jason S committed da01273

init checkin

Comments (0)

Files changed (2)

+Copyright 2013 Jason M. Sachs
+
+   Licensed under the Apache License, Version 2.0 (the "License");
+   you may not use this file except in compliance with the License.
+   You may obtain a copy of the License at
+
+       http://www.apache.org/licenses/LICENSE-2.0
+
+   Unless required by applicable law or agreed to in writing, software
+   distributed under the License is distributed on an "AS IS" BASIS,
+   WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+   See the License for the specific language governing permissions and
+   limitations under the License.
+
+------
+
+These IPython notebooks are freely available for use at
+
+   https://bitbucket.org/jason_s/embedded-blog-public

notebooks/hbridge1.ipynb

+{
+ "metadata": {
+  "name": "hbridge1"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+  {
+   "cells": [
+    {
+     "cell_type": "markdown",
+     "metadata": {},
+     "source": [
+      "#Lost Secrets of the H-Bridge, Part 1: Ripple Current in Inductive Loads#\n",
+      "\n",
+      "Jason Sachs\n",
+      "\n",
+      "<em>This post also appeared on [EmbeddedRelated.com](http://www.embeddedrelated.com/showarticle/421.php) &mdash; please check out this and other entries!</em>\n",
+      "\n",
+      "So you think you know about H-bridges? They're something I mentioned in my last post about [signal processing with Python](http://www.embeddedrelated.com/showarticle/197.php).\n",
+      "\n",
+      "<div>\n",
+      "    <img name=\"hbridge1\" src=\"http://farm6.staticflickr.com/5333/9233859846_d50227f2f8_o.png\" alt=\"\"\n",
+      "      onmouseover=\"this.src='http://farm3.staticflickr.com/2808/9234068346_c2bfe62cbf_o.png';\"\n",
+      "      onmouseout=\"this.src='http://farm6.staticflickr.com/5333/9233859846_d50227f2f8_o.png';\"\n",
+      "    >\n",
+      "</div>\n",
+      "\n",
+      "Here we have a typical H-bridge with an inductive load. (Mmmmm ahhh! It's good to draw by hand every once in a while!) There are four power switches: Q<sub>AH</sub> and Q<sub>AL</sub> connecting node A to the DC link, and Q<sub>BH</sub> and Q<sub>BL</sub> connecting node B to the DC link. The load is connected between nodes A and B, and here is represented by an inductive load in series with something else. We don't really care what the something else is, as long as we've pulled out the series inductance L. \n",
+      "\n",
+      "The H-bridge is called an H-bridge because it looks like the letter H. (And if you don't see it, move your mouse over the image.) The DC link is called the DC link because it's supposed to be a DC voltage. The usual methodology here is to group the power switches into two half-bridges, one for each of nodes A and B, and pretend that the half-bridges act like switching multipliers.\n",
+      "\n",
+      "![](http://farm6.staticflickr.com/5454/9231079095_17b592627d_o.png)\n",
+      "\n",
+      "The voltage on node A is equal to V<sub>DC</sub> for some fraction of the time D<sub>A</sub>, and is equal to 0 for the rest of the time, so we can treat node A like a voltage source V<sub>A</sub> equal to D<sub>A</sub>V<sub>DC</sub>. Similarly, node B is like a voltage source V<sub>B</sub> equal to D<sub>B</sub>V<sub>DC</sub>. And therefore the voltage across the load is just V<sub>AB</sub>=(D<sub>A</sub> - D<sub>B</sub>)V<sub>DC</sub>. From here on, proper control over the load voltage and current uses standard control systems techniques with the Laplace transform domain and Z-transform domain.\n",
+      "\n",
+      "Whoa! That sidesteps a number of important issues:\n",
+      "\n",
+      "- non-ideal switch behavior:\n",
+      "  - low-frequency voltage drops in the switches\n",
+      "  - dynamics of the switches during turn-on and turn-off\n",
+      "  - dead time (the delay between turning off Q<sub>AH</sub> and turning on Q<sub>AL</sub>, or between turning off Q<sub>AL</sub> and turning on Q<sub>AH</sub>, so we don't get a short-circuit across the DC link)\n",
+      "- non-ideal passive component behavior:\n",
+      "  - series impedance in the DC link voltage source (inductance L<sub>s</sub>, for example)\n",
+      "  - series impedance in the DC link capacitor\n",
+      "- what the voltages and currents look like during the switching period\n",
+      "\n",
+      "We're not going to talk about the first two of these, at least not right now, but we will talk today about what happens to the load current waveform during the switching period.\n",
+      "\n",
+      "First, let's have some fun creating some pulse-width modulation waveforms in Python."
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "import matplotlib.pyplot as plt\n",
+      "import numpy as np\n",
+      "import scipy.integrate\n",
+      "\n",
+      "def ramp(t): return t % 1\n",
+      "def sawtooth(t): return 1-abs(2*(t % 1) - 1)\n",
+      "\n",
+      "def pwm(t,D,centeralign = False):\n",
+      "  '''generate PWM signals with duty cycle D'''\n",
+      "  return ((sawtooth(t) if centeralign else ramp(t)) <= D) * 1.0\n",
+      "\n",
+      "def digitalplotter(t,*signals):\n",
+      "  '''return a plotting function that takes an axis and plots \n",
+      "digital signals (or other signals in the 0-1 range)'''\n",
+      "  def f(ax):\n",
+      "    n = len(signals)\n",
+      "    for (i,sig) in enumerate(signals):\n",
+      "      ofs = (n-1-i)*1.1\n",
+      "      plotargs = []\n",
+      "      for y in sig[1:]:\n",
+      "        if isinstance(y,basestring):\n",
+      "          plotargs += [y]\n",
+      "        else:\n",
+      "          plotargs += [t,y+ofs]\n",
+      "      ax.plot(*plotargs)\n",
+      "    ax.set_yticks((n-1-np.arange(n))*1.1+0.55)\n",
+      "    ax.set_yticklabels([sig[0] for sig in signals])\n",
+      "    ax.set_ylim(-0.1,n*1.1)\n",
+      "  return f"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [],
+     "prompt_number": 1
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "t = np.arange(0,4,0.0005)\n",
+      "sigA = ('A',pwm(t,0.2,centeralign=True))\n",
+      "sigB = ('B',pwm(t,0.5,centeralign=False))\n",
+      "sigC = ('C',pwm(t,0.9,centeralign=False))\n",
+      "\n",
+      "fig = plt.figure()\n",
+      "ax = fig.add_subplot(1,1,1)\n",
+      "digitalplotter(t,\n",
+      "  sigA+(sawtooth(t),'k:'),\n",
+      "  sigB+(ramp(t),'k:'),\n",
+      "  sigC+(ramp(t),'k:'))(ax)"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "display_data",
+       "png": "iVBORw0KGgoAAAANSUhEUgAAAW8AAAD5CAYAAADodLT+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJztnXd4FFX3x7+zm7KbTU+AkIQkhBKqEDpIEASkiYCAFEUF\nAUUFQRFeKSIiAq8iqCjFAgL+qEoNLyIlEkKJlNAJhBBCCoSEhPS2O78/liwpW2Z32p3NfJ7H52HZ\nmXu/HnbunHvuuedSNE3TkJGRkZGRFAqxBcjIyMjIWI88eMvIyMhIEHnwlpGRkZEg8uAtIyMjI0Hk\nwVtGRkZGgsiDt4yMjIwEceCqIYqiuGpKRkZGplZhS8Y2p543TdPE/7dgwQLRNdiLTilolHXKOkn/\nz1bksImMjIyMBJEHbxkZGRkJUusG7549e4otgRFS0CkFjYCsk2tknWRA0WyCLpUboihs22a6qaZN\ngbZtuehJ2pSVAfv2AeXl7Nrp3Rvw8eFGk5RJSwNOnGDXhkoFDB4MyGvuQFwccPMmuzYaNgQ6duRG\nj63cvHkT/v7+cHV1FVXHgQNAfr75a0aNomyKfXM6eI8cabyphw8BnQ745x8uerKN9PR0ODs7w9vb\nWzwRAM6dA/r0Afr2ZdfGzJnAlCnc6bKWAwcOoFGjRggLCxNPBIDPPgN27ABatrS9jf37gfh4oEED\nzmRZzQcffIC3334bLVq0EE8EgB49AKUSqFPHtvtzcoCMDP1LQCy0Wi0iIiJw4MABeHp6iqbj8WPA\n1xcYNsz8dTt22DZ4c5YqCADbtxv/++PHgXnzuOzJevbv34+8vDxMnz4dDx8+RL169UTRQdNAo0am\nbcWE997TtyMmGRkZ8PPzA6DPMhIrVZSmgVdeARYssL2NoCDx7Tl8+HCEhoaKKwJ6O3z+ORARYdv9\nFy8Cr7/OrSZrUSqV2L9/v6gDN6C3pUZj+Vm39dERLOYt9sMxadIkfPjhh9i/fz8+/fRT0XRwZQex\n7fnmm2+iXbt2WLNmDZYuXSqaDnuxZ48ePaBSqbBu3TqcPHlSNB1c2EFsWwIwzLD/97//Id9S3IIn\n+LaDIIO3mLHE6tORwYMHY/Xq1SKp0cPWHmLaMzMzs8rnESNG4P333xdJjR4p2/Ovv/5CWVmZ4XNY\nWJhhRiMWbOwhpi2Lioowa9asKvaMiYnBvXv3RNPEpz3s3vOePn06Dhw4YPhMURQUCvGSbKTuKY4d\nOxZxlQKavr6+cHNzE0cMpG3P8vJybN68uYpn+Nxzz4kaPpGy563T6dC8eXM4Ojoa/u6LL75A8+bN\nRdEje94smTVrFiKMBPBu3ryJN998U3hBkLaneODAAbQ1kjYUHx+PnTt3iqBIuvZ0cHDApk2b4OXl\nVeO7rKwsJCUlCS8K0vW8NRoNxo8fb/S7srKyKh65UMieNwsCAgKMeoahoaF45513BNcjZU8R0A84\nphAjtihVe5aWlpr9/s8//6wyYxQKKXreWq0WN27cMHvNRx99hB07dgikSI/sedvI77//jgcPHpj8\n3sHBAV26dBFQ0VOk5imWl5dj7NixyMrKMnlNWFiYPJNhSGZmJtq3b49yM8n+kyZNwrvvviugqqdI\nzfO+fv26xSSEL7/8EmPGjBFI0VNkz9sGkpOTGV1XVlaG3bt386zmKVL0FJVKJSZMmMA4Rz49PZ1n\nRU+Roj19fX1x/Phxs7OYynC0FYNhX2S0YQ2tWrXCdgv5eK6uroKns8qet4188sknjHK5S0tLERkZ\niZKSEgFU6ZGap0hRFPr06cPoxx8fH4+xY8cKOuBIzZ4AjMa5jXH48GG89dZbPKupilQ8b1uq8h04\ncABbtmzhSVFNZM/bCh4+fGjV9RqNBj/99BOcnZ15UlQVKXmKNE0jMjLSqgckLCwMR44cEczLkZI9\nU1NTsWjRIqvuiYiIwOLFi3lSVBMped67d+/GrFmzrLonKCgITZo04UlRVWTP2wrKysrQu3dvPHr0\nyKb7i4qKOFZkHKl4ipmZmfjjjz+g0+msuk/oVEyp2NPR0dHqtDVnZ2fUr1+fJ0XGkYrnPXDgQLz3\n3ntW3dOqVSt06NCBJ0U1kT1vhjg6OuL8+fM21S/R6XTo2rUr0tLSeFD2FCl5inXq1MGvv/4KpVJp\n9b25ubkYMmQIiouLeVD2FCnZs27duhgxYoRN92ZkZGDdunUcK6qJlDxvZ2dnhISE2HRvUVERrl69\nyq2gasiet5UwXQSqjkKhQHR0NPz9/TlWVBMpeIqWUtks4e7ujlmzZgkSjiLdnjk5Oax3+Tk5OSEn\nJ0eQtQTSPe+YmBicOXOGVRuxsbH45ZdfOFJkGtnztkBmZiZGjx4NrVbLqh0hdgpKwVM8d+4cBg8e\nzLqdZ599lvfYtxTsGRMTg++++45VG56enpg1a5Yk7Mn3++Xx48fIzc1l1cZzzz2Hb775hiNFxpE9\nbwZ4enrinXfesWl6b4zPP/8ct27d4qQtY5DuKbZv3x7btm3jpC2apvHHH3+YzWlmC+n2HDRoEL76\n6ivO2uM7tEe65z1w4ED0ZVNTuRp8zmZkz9sCDg4OnJ6a0bFjR3h4eHDWXmWk4CkC4LSc5vHjx63O\nAmIKyfbkY1DIy8vDwIEDeVtcJ9nzzszM5Nymt2/fRu/evXn5t5I9bzMUFBTgyJEjnLc7YMAA1K1b\nl/N2KyDVUzxz5gx+/fVXTtukKArffvstrxkTpNpz2bJl+Pnnnzlt083NDefPn4darea03cqQ6nnP\nnj0b+/fv57TN0NBQrF+/nrdwFJ/24PQwBnPw8Ra6e/cuDh06hN69e3Pf+JP21Wo1pwM5yZ6it7c3\ngoODuW/4CUVFRVCpVJw+KCTb85133mG98GsMPlMxSfa8161bx/n/O0VRvP7m+UTSnneLFi2wbNky\nfhoHsHHjRl4K45PqKTZp0oS3FyEAjBkzBjExMZy3S6o9PT09eZvB0TSNESNGIDU1lfO2SfW8lUol\nbx5yYWEhli9fbvWeBnPQtBzzrkF5eTnrzBImzJ8/H0OHDuW0TRI9xeTkZOTk5HDXoAk2b96M7t27\nc9omifbcvXs3EhISuGvQCBRF4eOPP+b84AbSPG+apjFp0iTe7ens7IzS0lJeZkp8Id6pBCzYunUr\nPvroI0H7FLJWh9Ds2bOHs+wSc4h9krdQPHz4UJDa0Z07d+Ysw4pUKIrCuHHjeA9tKJVKfPLJJ1Cp\nVJy1yfeQIUjMm6K4/R959dVXOclDZspvv/2GW7du4YsvvmDdFhdTKa7tOXXqVO4aY8CGDRsQGBiI\nPn36sG6LRHtOmjSJu8YYcPDgQXTu3JlxsStzsLUn17YE9Od7CklqaioCAgI4acsuwiZcQlEUb6l8\nxhgyZAg+/vhjwfoTCrFmE2FhYZJdJDJHRkaGKP2eO3dO1HMa+SIyMpLX/QHGoGkar7zyCu7evctB\nWxwIMoNgC5Zc/I/s2LEDhw4dYt+QlXh6enL2siDJU5w8eTKOHj3KviEr6dq1K2eV3UixZ8UC4s2b\nN9k1ZANz587FM888w0lbpHjeJSUl2LZtG++1capDURSio6M5cy7sIlWQCxo0aMBrfqslbt++jdOn\nT+PVV18VTQOXLFiwAL6+vqL1n52djaysLDRu3Fg0DVxBURSOHj1qc20dLqhYyBeqvDGfODs7Y+PG\njaL0zVU6IhGe9+7du6FQKBAfH29TJ1y9jbt06YI2bdqwb8hGHB0dUVhYyKoNUjxFAAgMDOR0gcZa\n/ve//2Hv3r2s2iDJnmIO3AAwb948bNq0iVUbJHjeQh6MYo4PPvgAp0+fZtWG6DHvLVu24MUXXxT0\nBIrK3Lhxg4h/0KCgIMEXo/hg/fr1yMzMFFsGxo4diw8//FBsGawoLi7GyJEjWRdK4oL58+cLfuoO\n16SmpqJLly6c5lvbyoQJE1iFo0T3vPPz83HmzBmsWrXK5nQytm/jVatW4dSpU7Y3wAMpKSk23Se2\np0jTNFJTU4lLMbN18VRsezo7O+Pdd9+Fu7s7OxEcoNFoWG9iEdvzDggIQFRUlOAHehijTZs2cHFx\nYdWGqJ73nj170L9/fwQFBaFOnTo4f/48f2pMsGrVKk4LT7Hl7t27GDVqlCRzvymKwrx58zhJK+OK\nmJgYUU725gKKotCrVy+xZVTh8OHDnNeoERIhM8mYcO7cOZtCxqLneW/ZsgUzZswAAIwcORJbtmxB\nu3btjF772WefGf7cs2dPw4Br69uYpmnBT3xmQnBwMKKjo23SJqanmJGRwWvBLVvp3LkzGjZsaNO9\nYtlTq9XiwIEDePHFF4n7jQYHB9tcm14sz/v27dvYsWMH/vOf/9jeOU9cunQJ/v7+CAsLs/peY7aM\niopCVFQUa11mB+9Hjx7h2LFjuHLlCiiKglarBUVRJmsTVx682ULTNPr27Yu1a9eiUaNGnLXLFSRM\n66yhqKgIvXv3xsmTJwU5dMIaHBwcBDnBiEsePHhgGLxJQ6gDdrlEo9GgZcuWYsswyvjx4226z9RL\nrLJjCwALFy60qX2zI9DOnTvx+uuvIykpCXfu3EFycjIaNmyI6Ohoqzqx5W1MURTWrl2L0NBQ624U\nkKKiIgwaNAj5+fmM7xHLU1Sr1YiLiyNu4K5MVlYWvv/+e6vuEcue/v7+WL16NXFed2WKi4tx8eJF\nq+4Ry/P28/MTdNe0LdA0bXW2mWgx761bt2LYsGFV/m748OHYunUrf4oq0ahRI6IfDrVajfnz50Oj\n0YgthRGkLVJWR6VSoaioiIhMA1PQNE1E5hMTLl++jLVr14otwywPHz7kpTIiH/z222+YP38+4+tF\nzTY5evQoXnjhhSp/N3XqVPzwww9WdWLN25imaXz33Xe8nRTCNV26dLHqBSO0p5iWloYxY8ZIYnFV\no9Fg1qxZVoWkhLbniRMnMHr0aHYdCkTHjh3x448/WnWP0J738ePH8dNPP9neoYCMHTsWS5cuteoe\n0fO8haS4uBjZ2dlwcnISWwpjaJrGzp07ifTI6tSpg/fee4/oGYwxSK3VERERgQ0bNogtw2pInc0M\nHz6c07UyPnFycoKjoyPj60XP8+YCa97GarUaCxYsIH6KX53Y2Fg8ePDA4nVCe4qOjo6c19Dmm+Li\nYgwZMgR5eXkWrxUj5k1aKpslUlJS8OyzzzIawIXyvKUwEzTF1atXGVcYrTWeN5PBj0QoisJ///tf\nBAUFiS3FQE5ODo4dOya2DJtQqVQ4e/YsUYurx44dw+bNm8WWYROBgYHYvn07URlSn376KX7//Xex\nZdhEQEAA2rZta/G6WuN5JyUlYejQoZJ+IwOwuOAmlKeYlJSEf/75h11HIsJ0oBHKnvXr10dISAi7\njkSkQYMGjK4TyvOeMWMGBg4caHtHIuLp6ck4RbRWeN4hISE4ceKE5GKz1ZkwYQIOHz4stgy0bdtW\nMrFEU9A0jVGjRiExMVFsKWjWrJnkwk/VKSkpwdKlSwWvkW0Mb29vonb52oJWq0VsbKxo/RPjeQPk\np7Ix4eeff66RoVMZvj3F0tJSQc73FAKKojBr1iyz4Si+7ZmYmIjHjx+z64AQnJyc4ODgYHZhnW/P\ne9u2bbhz547tHRDEw4cPsWTJEpMzbbs5gNgUZ86cwcyZM8WWwRli53yvX7/eqlxU0mnfvr2opVZ3\n7tyJffv2idY/l1AUhZkzZ4r6G83KypL87LoCPz8/7Nq1S7S1BNHPsGzZsqXodZD5YMuWLdBoNHjp\npZeq/D3fnuKkSZNQUFDArgMC+fvvv9G6desap6Xzbc9Zs2axa5xQ7t27h8DAwBoDKd+e97vvvmt7\n4wSj0+lqDOJ273m7urqiffv2YsvgnLCwMJsK2bBFoVAQlaXBFZcvXxZ0J57UF87NQdM0xo8fL+iR\nbffv3xesL6EpKSlB+/btBQ+viRbzvnXrltV1F6REu3btjA7efHmKGzdu5KRSGal8+OGHRl/yfNnz\n1VdfJa6GPFdQFIVDhw7x8vs0ZkuapjF06FAkJyfb3jDBODs7Y9++fTXy//n2vEWLV9y8eRNpaWmi\nHmsmBDk5OUhPT0fz5s157Sc0NBR16tThtQ8S0Gq1KC0t5f0s06VLl6J+/fq89iEmQsZpKYpCTEyM\nXSQkmCIwMFDwPkXzvAcNGmQXR4pZ4p9//sGuXbsMn/nyFLt37y5KmEZoFi9ejHXr1hk+82XPoKAg\nq7ZCS5XZs2fjyJEjhs98xbzteeCuzDfffIPs7GwAdhjzLi4utut4YnWGDBmCOXPm8Nb+1atXUVpa\nylv7pPHxxx9j2rRpvLW/Zs0aPHr0iLf2SeP1119Hly5deGk7Pz8fw4YNk0yROS5wdXVFcXGxIH0J\n5nlX8Mknn0h2mzFbKvJBufAUK1i5ciXi4uLYNSgh1Gp1jQwJruyp0+mQmZkpqaJobGnZsmWN1EG2\nnncFGo0GH374Ie8hLpKYPHmyIdxmNzHvCmfb2pKK9sK5c+ewcOFCTJ68l5P2KuwplXKaXHP8+HFc\nunQJNP0+J+3RtD4OPG/ePE7akxpxcXFQKBSgadtPS6+g4rdJURQiIiJYtydFMjIyUFLiDkDFWx+C\ne97Ozs5wdnYWoluiCA8Px5o1awBwFaOtPaEnY4SEhBjOUuXCnllZ9pvKxoT4+HgkJSUB4CLmXYp9\n+/bV6t/ovHnzcOZMlH3EvB89Worr168L1R1xKBQK+Pv7c1JpTKfT4bffIiRzAgkfBAUFoVu3bpzY\nU6vNxbRp/QSLVZLIqFGj8NJLL3Fkz3QcPXqUfUMSZu3atYiI6M9rH4J53o6OYTV2x9VG8vNzkJj4\nNSuvRKlUYMiQTQgICOBQmTTRakuQnHyOVRsODu747bfzUKn4m+JKBf05jczPZK0ORQFKZTBWrFhh\nN9vgbYGiKPvJNtFohkm+ihgXODnpF2/YFo/y8GjIhRzJ8/hxAv75x7qjvoyhUNSOVDZL5OfvxNKl\nttUa0ul0KCkp4b2OtZTIyfnJEC7lGt4H7wsXLgCQ/zUrcHR0RuPGM22q56LVarFixQpotbUnNdAS\nXl4t8cYbv9h0b2JiIsaNGwf59/kUjWYYPv30O5vuPXToED788C2OFUkXmgZcXV/Ayy+/zEv7vA7e\nOp0O8+bNQ2bmA/lt/ITKdrh7965V9xYVFaGoqAhKpaNszydUtoO15zQGBgYazveU7VmBg82pkv37\n98d//7tatmUlHB2DUbduXV7a5nXwVigUiIyMRN26cqy7MhQFlJWVYeTIkcjKymJ8n6urK+bMmQOF\novbGEo1BUfrayh07drTqoAEnJyd06dKF17ikFKEoffmKuXPnWn2vPRZFs5XKMe+7d+9yXnuIt8G7\n+oKc/DbWU2EHR0dHnDlzBj4+PgzuoZGenm60ndpOhR3q1KmDvXv3MgpHZWRk1DgiTranngo7BAQE\nMN55GRkZiR07dtRoQ+Yp6enpuHr1Kqdt8jJ45+TkoFOnToYTO2TPpioV9mC6Gh8fH4+xY8caXoiy\nPatSYQ+m2TdJSUk4c+ZMjftl9FCUfnfk4MGDGV0fHByM4OBgw70yT6mwR5cuXfDee+9x2jYvg7en\npyd27NhRZTOO/DbWY8wO48aNM/tWbtasGQ4fPlxlsJftqae6HcrLy7F48WKzR3116tSpxiELsj31\nVLeDTqezWBq3VatW6NSpk8k2aium7JCXl8dJ+7yFTSqftC2/jatS3R4zZ85E06ZNzd5TuSqbbM+q\nVLaHUqmEq6ur0cG7pKTE6KKmbM+qVLZHTk4Oli1bhrKyshrX3bx5s8ZAJNuyKtXtcenSpRqna9kK\np4N3Tk4OVq1aZfQ7+W2sx5gd2rRpY7T86LFjx0zW2pDtqae6HSiKwgcffAB3d/ca165evRpLlixh\n1E5tpbodvL29sXv3bqO/zy1btuDw4cMW26itGLPDM888gwMHDnDSPqeFqQoKCozGceW3cVVM2ePY\nsWMIDQ01xA/bt29vdEFTtmdVTNkjOTkZgYGBhoMHpk2bZrQ8qWzPqpiyR/VzGhcsWMD43tqKMXtw\nVWWRU887ICDAZFBefhvrMWeHGzduIC0tzfDZ3d0dzzxjvMqbbE895uzw/vvv4/Lly4bPCoXC5Mnp\nsj31mLJDeXk5OnbsiIyMDIulHWRb6jFnh+zsbLzzzjtWpbZWR/CqgjKm7TFlyhR07doVV69exZUr\nV6y+v7Ziyh579uxBmzZtsGbNGsTExFh9f23FmD0cHBywb98+1K1bF8OGDXuyc5rZvbUZU/bw9PTE\nCy+8wOo4OkHqeSsUQEYGMHSoEL2RTVoaEBRk/pqbN2+isLAQrVq1Mvq9QgH8+ScQH8+DQIlx/jzQ\nq5fx7ypCeM2aNTObRqhQAJ98Avj68qFQWjx8aHrA8ff3BwB89913Js9sVCiA/Hz5WQeAx49N25Ki\nKNbb5imao6K7+i3GxpuiaeCvv4BaXHGzCi1bAk2a2H5/ZiZw4gR3eqTO888DRtYnGXPlCpCQwJ0e\nKaNSAf36sfOgDx/WD+AyQHAwEB5u/hpzY6fZ+4QYvGVkZGRkjGPr2Cn4AcQyMjIyMuyRB28ZGRkZ\nCSIP3jIyMjIShNNsk6ScJC6b4xwlpUSgeyDxxzPlFOcgpzhHbBkWcXNyg4+L5aqIYpOel44Srela\nJ6RQV1MXLo4uYsswi1anxb3ce2LLsAgFCkEeQcQ/62zgdMEyeEUwF03xRnp+OqLHR6NTQCfLF4sA\nTdMoKSnBsxufRXpeOpyUthXFFwIdrUOJtgQPZj4QW4pJCgsLkVmSidDvQxHobjy1jRTyS/MxtNlQ\n/PzSz2JLMUl2dja2396OmX/PhI+a7Jd2RkEGtgzfgiHNhogtxSQPHjxAvXr1bF6w5Nbznp7EZXOc\nE7E+AiXl5Hpg27ZtQ0xMDIqbF+PvcX+jZd2WYksySU5xDkJWhogtwywzZsxAm25tEOQRhMQPEsWW\nY5ZNFzfhUOIhsWWYRKfToU+fPnjps5cwIXwCvu3/rdiSzDJq5yiiZ1vJycl45ZVXcPLkSZvbqHUx\nb5rg8wqHDx+OpUuX4tant1BYUCi2HIuQbEsAWLFiBer518PDzQ/FlsIIklNtFQoFTp48ibijcYiP\nksbuMJLtGRQUhBMnTrDaYVmrBm8K5MW/Dh06ZHj7Ojo6QqPRIGRmCNQu3BSv4QsSbQkAX331leHU\nIRcXFzRt1hTeL3qLrMoyJMZm8/LyMHv2bEM5WGdnZ7Tu0RqBrckOQQFk/j4vX76MxYsXGz7bcgh5\nZWrV4A2Q+TaurknppmT1RhYKEm3p5+dXxXZqjRoOXoJUgWANaTMZjUaDZs2aVXmxePl5wdXHVURV\nzCHNnoGBgWjXrh1n7UnjV80RpHg3ubm5cHV1hUKhwAsvvGD0GhI9h8qQYksAyMzMhO+TwiTjxo2r\n8T3ptgTI0piWlgZ/f38oFAqMHz++xvck/dubghSNRUVFyMnJQf369eHl5YUBAwZw1jb57h3HkPA2\nnjJlitEi9hXcXnAbBQUFAiqyDRJsWVZWht69eyMzM9Po9xfPXcSDzeRmxFSGhJlMfHw8XnvtNZNa\njm8/jhvHbgisyjZIsOe2bduwdu1aXtquXZ43Id7NL7/8ApVKZfL7oI+C4OJCdr4vKbZ0dHTE2bNn\njZ70AgBNmjWBzyCy09oAcjzFsLAw/P333yb1tIxoiYziDIFVWQ8pv8833niDt7Zrn+ctwtuYpmks\nWLAADx/qsx7MDdyAHPO2xKNHj/DRRx8ZCtmbGrgBQOWigqO36e9JQqyZTGxsbJXj4Sqfl1odOeZt\nmR9++AF79uwBoH8p8/VirlWet1hQFIXGjRuzXl2W0ePh4YH27dubHWRkmBMaGmr0eDgZ24iIiDCs\nwfAJ+e4dh1AUJejb+P79+4Y/jxs3Dl5eXozuS/wsEYX5ZOd5C21LmqaRnJwMQO8Zjh07lpFHc/Hc\nRTzYRH7Mm4KwJZVzc3MNv09fX18899xzjO6L3hktiZi30CWqr1+/jtLSUgD6Q4YrDq7gk1o1eAtJ\nUVER+vXrh9zcXKvvbfBhA+LzvIXm4sWLmDp1qtX3SSXmLTSbN2/Gli1brL6vxbMt0KBNAx4USZvl\ny5ebPBqOL2rVPF5I70atVuPcuXM2hUqUbkriQwJCe4pt27bFrl27rL5P5aKCkw+5NWIqEHomM2XK\nFJtisV5+XigtKOVBEbdQENaeP/8sfE0a2fPmkPv372P69OnQ6XQA2O+gqu1ERUXhq6++MnyWwiIu\nySxduhR//fUXAHKyW6SKTqfD8OHDce+eeBUWa9Xowrd34+Pjg+7du7N+MJIWJqHgpQKA4Nm+EJ5i\ns2bNoNFoWLVx8dxF3N94H3ifI1E8IcRMZsCAASYPDmbKiZ0nUO5cDhjfW0YMfMe8FQoFZs+ebfZg\na76RXRmWaLVaJCUlAdCnrI0YMYL14B0wI4D4PG++yMzMxIMH+gVGPz8/dOzYkVV7TZo1ge+LtfdY\n+Li4OENtkjZt2sDHh51H0PzZ5ghqG8SFNMlB0zSio6MNnzt16iTqbLBWDd58eDdnzpzB3LlzOW2z\nNse8f/vtN+zbt4+z9mp7zHvlypW4fv06Z+15+XnBzceNs/b4go+Yd35+PlasWIHCQjIywWpV2IQP\nunXrhq5du4otw2748MMP5Xgsh2zYsEFsCZKHpmlQFAU3Nzf8+eefYssxULs8b468m8jISKxYsaJK\nu1ySvCgZ+Xn5nLbJNVx6inPmzEFUVJShXS65fP4y0n5L47RNPuBqJlNeXo4BAwYgI4OfLewxO2Nw\n/Sh3njxfcBXzvn37Nl588UUi6qRUR/a8baBNmzYICQnhrX3/D/xZL9RJiVGjRiE0NJSXthuFNULd\nwXV5aZtEHBwcsHjxYtSpU4eX9pt3b4688jxe2iaR0NBQLF++nMjZYO3yvFl4NykpKYbKdYGBgWjZ\nkr8jyhRuCruPecfGxkKr1QLQvwzd3PiJo9aGmLdOp8PRo0cNn9u1a8fbYONZzxPuvu68tM0lbGLe\njx49MixMUhSFZs2acSmNM2rV4M2GDRs24MiRI2LLsAtomsb333+PxESyz5WUCjk5OVi3bp1he7YM\nOxITE6uWkryaAAAgAElEQVS8DEmlVoVN2Hg38+bN41iNaVK+SEH+0HyAWSkUUWBjS4qisGnTJo4V\nGefy+ctI3ZAKvCtIdzZjy0ymYiHN29sbW7du5UlZVU7+eRJQAegjSHc2Y0vMW6fTQaFQoEOHDujQ\noQNPyrhD9rzN8P777+P06dOC9+s3zQ8aV/uKeRcXF+P5559HTk6OoP3aa8z7ypUrGDp0qOD9NuvW\nDMFtgwXvl29++uknfPHFF2LLsIra5Xlb6d1MmjQJYWFhPCoyjj3GvFUqFb799lt4enryqMpIvy4q\nOPs6C9qnLVg7k2nRogW++eYbHhUZx7OeJxzLyK+Pbm3M+5VXXuFRDT/Innc1oqOjDbVJ2rRpY/Hg\nBBnTlJeX4++//zZ8bt26tYhqpE96ejpOnDgBQL89u1GjRiIrkjZRUVGGdRcPDw94eHiIrMg6atXg\nbcm70el0WLNmDVJTUwVUVZO0xWnIe0x2OhYTT/HRo0f4/fffDVklYnAl7grurReveBBTmMxk7ty5\ng9jYWIEUGefUn6dw9chVUTUwgUnMOyEhAWlp5O8BMAWjsIlSqcQzzzwDmqahVCqxatUqu9pVWLHw\no1Ao8Pvvv4stB3Wn1oWrmzSOmjJGhT3r1q0r+g6/0Cah8HvJT1QNbKBpGjqdDkqlEt26dUO3bt1E\n1dOsWzOUQrpZLWVlZYZj8yZOnCiyGnYw8rxdXFxw4cIFxMXFYcmSJfjkk0/41sULxryb/Px8RERE\nEFOvAJB2zDs2NhajRo0SQZFxpB7zXrFiRZXdvGLjUc9D0nneL7/8suizF66wesHy8ePH8Pb25kOL\nKLi6uuLnn3+utVX8uKZ9+/b4+uuvxZZhN0yYMAFOTuRvMpIKGzZsYF1ZkRQYDd5FRUUIDw9HcXEx\n0tPTTSawf/bZZ4Y/9+zZEz179uRCI2dUeDfFxcWIiopC//79AYC4HVT3v7yP3OG5AMHrJ5U9xTt3\n7iA9PR3dunWDUqlEUBA5JUOvXryK5F+TgXfEVmKeyjOZyMhItG7dGkFBQYJn51jizK4zUKqVwPNi\nKzFPRcxbq9Vi9erVmDhxIlQqFREDd1RUlKGWDxsYDd5qtdpwPtvp06fx+uuv48qVKzWuqzx4k0xW\nVhb27t2Lfv36EVmzwPd9X962i/NBUlISEhISRI/HGqNhk4aoP6S+2DKsIiUlBX5+fkS9BCto2rUp\ntJR4C9DWolAokJeXh6KiImIyx6o7tgsXLrSpHavDJl26dEFmZiYyMzMFOd6eU3T6BaCAgAD8+OOP\nYqsxiRRi3rSOBvQZlejVqxd69eolriATqNTSiHmXl5UbZjJvv/22yGpM41HPA1qa/MG7vFhvT4qi\nJLtGZwmrUwVv3LgBrVZLxPTDGqKionBxzUWxZdgNixYtAs6LrcJ++GziZ8hLITs9VCpkZ2djz8w9\nKCstE1sKrzAavCti3uHh4Rg9ejQ2btxIZLjBHN27d0fzsc0FPVHaVh4seYDcnFyxZZjlgw8+AMJB\nZJ3jyly7eA13f7krtgyLzFk1B64B5KeHxu6OxaVDl8SWYRYvLy8MXT4UDo72vYGc0eBdXl6OCxcu\nGNIFBwwYwLcuTrh27RpOnToFQF/nWOVFRszLEj7v+cDNnbyY9/bt2w2bGry8vACyIzsA9DFv/6H+\nYsuoQVlZGZYvX26oBOjqTv7ADQBNujRBw3YNxZZRg9TUVKxcudLw2VFF/hZ+ttj1Dst79+4hOTnZ\n8JmCNGYLpJ5h+ejRI8ELS7GF1Ji3UqlEeXm5YfCWykzW088THnXIS4PSaDRQq9WGmaBUnnU22N28\nory8HAqFAgqFAv369avxPenTfABEhXaKioqgVqsBAO+8UzPfjgZN9INCki0BIDc3F+7u7lAoFJg9\ne3aV70jTagyS/r1pmkZ2dja8vb3h6elZY6FXCvZkg9153rNnzza5xV0q3s3DZQ/xOPux2DJA0zR6\n9uxp8tAEUh5ic9y4fAN3fr4jtgwAwP3799GjRw+Ul5fX+E4KtgSAf3f/i0t/kRHz3r9/P2bNmmX0\nO6k862ywO897/vz5ZnOkpfA29n7XG+4e4m9BpigKf//9N9zdTWuhaRokjzvBjYIRMCxAbBkAAD8/\nP5w6dQoODsYfOynMCht3bgxHBzLiyS+++KJho50xpGBPNtiF571+/Xo8ePAAAODp6WkyXiwV70bh\nKl6ed3FxMZYsWWLwDs0N3FLwblRqFVS+4i1UJyYmVllIqwhBVUcKtgSexLzrihfz3rdvH/78808A\neptVFJmqjlSedTbYheddXFzMuLCUFN7GYs4OHB0d4eTkhPLycpMeYmVIn8mIrc/Dw4PxngixtTJB\nbI2BgYGMn2GxtfKNZD3vgoICw5+nTJmChg0tpy9JxbvJ+m+W4DHviiwSpVKJjz76iNFWYil4N/FX\n4pG4TtiDjrVaLbKysgAAPj4+GDdunMV7pGBLADi39xziDsYJ2mdGRgZKSkoAAOHh4WjXrp3Fe6Ty\nrLNBkoO3VqtF9+7dkZ6ebvW9Ungbe07xFDTmnZSUhL59+xpOELIG0mcyQaFBCBweKGif27dvx+LF\ni62+j3RbAkCjTo3QqL2wJ/h89tln+Ouvv6y+Twr2ZIMkwyZKpRInTpyARmPdIb1S8W6EjnmHhITg\nxIkTUCise5dLwbsRI+Y9evRoq89ElIItAX1tE5WDsPZctWqV9b9NiTzrbJCM552fn49FixYZjtSy\nduCuQApvYyFmB9euXcO3335r+OzsbNtGFtJnMkLp27JlC/bt2wdAPxDb8vIl3ZaAcBpnzJiBhIQE\nALB64K5ACvZkg2QGb5VKBU9PT5um9hVIxbvJ/iobOY/43cno6+uLwEB24QQpeDfxV+KRsC6B936a\nNGmCpk2b2ny/FGwJCBfzHjRoEOrXt72Ur1SedTYQP3hXLPw4ODhg6tSpJlODmCKFt7H7O+7w8OQ+\nHaukpMRgz7p162L48OGs2yR9JhPcKBhBL/NTFzs1NRVlZfrKdR06dEBYWBir9ki3JaCPeYe2C+Wl\n7evXrxv+3KdPH5tn1xVIwZ5sIHrwvn79Ol5++WXO/hGk4t3wFfPetGkTvvvuO87ak4J346xyhqoO\nPzHa+fPnIzo6mpO2pGBLQB/z9qzH/ek+ZWVleOedd5CZmclJe1J51tlA9IJl8+bNcfjwYU5/2FJ4\nG/M1O5gwYQLnbZI+k+FT3y+//MLtb5NwWwL8aXR0dERUVFStsycbiPO8z507h++//97wmW2YpDJS\n8W5yvs5BdlY2J22tW7fOkGZVUbCLK6Tg3dy8chO31t7ipC2apjF58mRDpUouf09SsCUAnN97HhcO\nXuCkrYcPH2LkyJGG3byc2lMizzobiPO869evjyZNmvDWvhTexm5vu8HTi5upadu2bVGvXj1O2jIG\n6TOZoEZBCBrOTcyboiiMHj2aN3uSbksAaNS5EdydudmD4Ovri6lTpzLayWsLUrAnG4jwvAsKCgwL\naf7+/maLzbBBKt4N25j3nTt3DN5Mp06dEBwczJW0KkjBu3FWOUNdx3g9EaZcvnzZ8Ofnn3/e5rRK\nc0jBlgDgXtedVcy7tLQU58/rz8+jKAo9evTgSloVpPKss4GIwfvnn3/Ghg0bBOlLCm9jtrODuXPn\n4uzZsxypMQ/pMxm2+oqKivDBBx8gL4//8yVJtyXAXuPNmzerhEX5RAr2ZAMRYZOpU6cK4nlIxbvJ\nXZ6L7Fez4R3obdP9v//+uzD2lIB3c+vqLdxccxOwca1WrVbj6NGj3IoyghRsCQBx++Pg4eIBdLft\n/latWmH9+vXcijKCVJ51NojmeS9fvhxRUVF6EQqFYMaWwttYM1ljVcxbp9PhtddeM9R6EfKHS/pM\npkFoAwSPsC5slJKSghEjRrDaEGYLpNsSABp2bIjGHRpbdc+BAwfwn//8hydFppGCPdkgmufdvXt3\nhISECNqnVLwba2PeCoUCEydORJ06dXhUVRMpeDe2xLwDAgIwc+ZMTjNzLCEFWwJPYt4u1sW8u3fv\njmbNmvGkyDhSedbZIKjnfePGDUNtks6dO/OaBWEKKbyNmc4OKhZ+AKBnz568rdqbg/SZDFN9RUVF\nOHfuHAD9QNqlSxc+ZRmFdFsCzDUmJCTg9u3bAPQHeoSG8rMr0xxSsCcbBB2858+fj6tXrwrZZRWk\n4t3kr8jHo8xHZq/Jzc3FnDlzUFRUJJCqmkjBu7l17RZurL5h8bqrV6/it99+E0CRcaRgSwC4GHkR\nZyMtL4ZHRUUJtmhuDKk862wQ1FXbvn276EaVwttYPVENL28vs9e4u7vj4MGDAikyDekzmQYNG6Dh\nSNMHddA0DYqi0KFDB3To0EFAZca1kE5IhxDU0RgPz1XYEgAmTpwopCyjSMGebODV8y4rK8Pw4cMN\n9QrEHril4t2YinknJCRg5MiRxPwoxf73ZIK5mPf27duxcOFCgRUZRwq2BPQxb696xh2LKVOmEOFQ\nANJ51tnAq+ft6OiIGTNmwNvbtpQ3PiBl4DOHqdlBaGgo5syZQ9SDTvpMxpy+vn37ont3G3PeeIB0\nWwLmNc6ZM4dVGVeukYI92cC5503TNM6cOWP43L17d0FX7c1B0qBnjsKVhch6qN9xmpuba4gdKhQK\nhIeHiymtClLwbhKuJ+D6j09LjV6+fBl3794FAHh5ecHf318saVWQgi0B4FLkJfwb+a/h865du1Bc\nXAwACAoK4rQWERuk8qyzgfNRNSsrC4sXLzbUOSYNKbyNVW+p4O2jn61cvnwZu3btElmRaUifyQSG\nBCL0laeZDtHR0bhy5YqIikxDui0BILhDMJp21B86QdM0Tp06hfv374usyjhSsCcbOA+b+Pr6Yu/e\nvVw3ywlS8W4oV8owW3n22Wfx7LPPiqzIOFLwbpxVzlD5PK3n/e6774qoxjRSsCWgj3m7u+gLU1EU\nhf/+978iKzKOVJ51NhCxPV5I9sTvQfLjZLFlmKU4thgrvl6BT+d+KrYUi3x96muoHdgVfuKT29m3\ncX3ddUQ3jkZERITYcsyS/DgZX0Z/KbYMs5xKOoXk5cmY/O9keHhwf9oTlxy5cwRlOjIjAFxA0RzN\nLSiKIn6aciTxCI7cOSK2DIsoi5T4oMsH8PX1FVuKWX6I/QGpealiy7BICBWCiT0nErP2Yozsomx8\nc/obaHVasaVYpL9ff/RoyU81QK6ITY3F7hu7xZbBiCV9ltg0dtaqwVtGRkaGNGwdO8l1RWRkZGRk\nTCIP3jIyMjISRB68ZWRkZCSIPHjLyMjISBBuUwVFKPEqSUaMAH74wfT3w4YBJ08Kp0fqbNoEvPCC\n8e+ysoDwcKCkRFhNUsXZGbh4EfCqWb+EpmlQu3YBU6aIIEyiREQAO3ca/Uqn07HKgOJ28L50idPm\n7JKjRwETpUcjIyNx5swZfH7zJrB9OyBwAXtJMm0akJZm9KtZs2ahR9OmeBGQf5tMadcOyMurMXjr\ndDr06tUL//f88wgYPBhYvFgkgRLi2jVg+nSjXyUnJ2Ps2LE4fvy4zc3LnrfQeHkBJtKCunbtirCw\nMIxcuRIbXV2hlu1pGbXapD3ffvttPL56FUvy8/GJbEtmKJVG7alQKPDrr78idvFieD5+jF6yPS3z\n4IHJ32ZQUBC2bt3KyvOWY94ik5iYaCiU5O3tjcaNG2O8pyccRTgVxx44cuSIoVBSo0aN4F+3Lto5\nOYmsSpqUl5fjjz/+MHxu1KgRfDQaeMj2tIkHDx5g//79hs+BgYGs2pMHb6GhqCpv44MHD+L06dNV\nLhmo0cCBkOpsxFPNnvv27TO8DAHAz9cX/TQaMZRJk0r2LC4uxuHDhw0vQwDoERqKdrLXzYxqv82c\nnBxOTxKT3TsRoGnaUDaH1EJJUkKn0xm8kJUrV4qqxR7QarVQAnB1dcXq1avFliNpaJpGWWkpnJyc\nEBYWhtmzZ3PWtux5Cw1F4d3r13HkiOkaK6+kpqKwkrcjY5oymkbXL780nNZUnesJCfgyJ0dgVdIl\nvrwcfV57zeR27d2XLuFoSorAqiQKRWFDdjbmz5/PS/Oy5y0CHwcHo0EP04V93nR3h5McNmGEo0KB\nbW+/bbKIl5e7O9o7OwusSrqEOTpiy7ffmixR6+3iAtfSUoFVSZcxHh7QfspPdVDZ8xaIyMhIlJaW\nAhSFULXa7IkjcszbPCUlJdi2bZv+A0UhxMfH5LVyzNsyd+/efbqQRlHwM1PNUo55W+bgwYOIi4sD\nKAoqioKGp9+fPHgLAE3TOHToENLT08WWYhcUFxfj5MmTxJ7WJDXy8vKQlJQktgy7oaioCEVFRbz3\nI4dNeKRiBxVFUfj222/1f3nrlsnczwpeSUvDhuJiuAigUUqUlZXB0dERHh4eT+1ZbUW/OtcTErAr\nOxtzBNIoFWiaRmlpKZydndGqVSu0atVK/4UFe+6+fBnuBQV4XiCdUiE/Px8ajQYURWHYsGH6v7x2\nzeKzzgbZ8+aJoqIidOjQAbm5uVbfK8e8a3LhwgUMHjzY6vvkmLdxvv/+e5uOMPNxcYGHbM8avP76\n6zhx4oSgfcqeN0+o1Wrs3bsX7u7uVb+w4NkAwEAXF0AevKvQtm1bbNq0qeYXFuzp5+sLP1dXHpVJ\nk0mTJkGpVNb8woI9Ixo21O8clKnCpk2basa2GTzrbJA9bw4pKCjAli1bDJ/Z7qCq7cTHxyMyMhKA\n/rSROnXqiKxI2uzcudOwSUStVsNJ3ilpMzqdDosWLcLjx48BgLdFSXPIgzeHlJSUIC4uDjqdzvRF\nDN7Gr6Sny3neAAoLC/Hw4UPzF1mw543bt7H40SOOlUmX8vJy8xdYinlfuYKj9+5xrEp6KBQK1KtX\nz/zxZTx73nLYhANKn+yg8vb2xrJly1i3N97dvdbWNikvL4dWq4WzszPCw8MRHh7Oqj1PNzd0UKk4\nUic9cnNzDaG7ESNGsG7Px8UFLuacEzsnMzPTsKdg8uTJomqRPW+WxMTEYPTo0cxvYPA2HqBWw7GW\nTmmXLVuGH3/8kfkNDGLe/WpxzHvkyJE4f/488xssxbxDQtC+fn0OlEmPvLw89OrVC4WFhcxukD1v\nsunWrRtatGghtgy7YcaMGXCWsxk4Y/fu3VCr1WLLsAvc3Nxw/vx5sxvshET2vG3gwoUL+N///gdA\nv5DmZeTUEZMweBuPevAABQIk+ZPChg0bcPPmTQCAi4uL8SwIUzCJeWdlsZUoGcrLyzFv3jzk5+cD\ngPUDtwV77rl6FUeSk9lIlBQpKSmYO3euIbZt1cAte97kUVZWxnzqZANvurrWqjxvPlfqvdzd0b4W\nxbyVSiUaNmxosjYJW7zVarjw1DaJ+Pj4PN3ARBjy4M2QkpISUBQFJycndOrUCZ06dbKtIYYxb9h5\nzDs7O9swYxk5cqTtDVmwZz0fH/R3c7O9fYnw4MED1KtXDxRF4a233rK9IQYxbzxJj7NXtFot7t+/\nj4CAAKjVaowZM8b2xuQ8b/FZsGABfjNx9qSMddA0jSFDhuDGjRtiS7ELsrKy0L9/f33hMxnWREVF\nYd68eewb4nmGInveDPn000+5WfhhEvPOyMCvRUWw11p4FEXh77//5mZh0lLMOzERf2RmYi77nojF\nx8cH//77Lxy4SC9lEPN21WrRm31PxNK7d2/06tWLm8Zkz1scVq1ahcTERAD6hTS+4ojVsceYd0lJ\nCT7++GPDWoFQGSX2GvO+ffs25s59+kriZOBmgL3WNtm9ezd++uknw2c2BwMbkD1v8ahbty73DwWD\nf1B7jHk7OTmhZcuW1mWSMMGCPev5+KB/9foydoCfn5/t6y7msGDP7iEhwJNMFnuiVatWKCkpEVuG\nVciedzUqH6f1yiuvICgoiPtOLE2leJxqCU1aWhoAfajkzTff5MfjNmcvO7JlaWkp7j3Zmq7RaDBk\nyBB+Oqol9kxJSTFU/WzcuDFatmzJbQdyYSrh0Ol0GDRoUJXTxzmHgec9OjMT+TymIgpFWloahg0b\nBq1Wy18nFuwZn5SELyzVR5EIBw8exNdff81vJxbsuef6dRzh8/kQkFWrVpk9S5Z0GMUE7t+/j+nT\np+Ps2bPw9PREvXr1sHLlSjRp0oRvfYKiUChw4sQJ/ndQWXgbv+HiAmc7CJv4+/vj5MmT3IdKqmPG\nnp6uruhgJzsMX3rpJZtqmluNGXv6qNVQ8fkyFpAlS5bwu44ltudN0zSGDRuG559/HgkJCTh79iyW\nLFmCB3ZS0zc/Px/Tp083xLt4H7gZxrylWtvk6tWrVU7L5n3gtvOY9+bNm6ukqPK+aG4p5h0cjA7+\n/vxq4JF3330Xly5dAiCALXnGoud97NgxODk5Vamg9cwzz/AqSkg0Gg06dOgg2Go9ALuOeQcFBSEi\nIkLYTu04RtuxY0fha2nYsT3Hjx+Ppk2bCtOZ2Nvjr1y5gvbt2zNq7LPPPjP8uWfPnujZs6etungn\nOTkZQUFBoCgKr732mnAdM4l5Z2Xh58JCSKUWXmFhIbKystCgQQO4ubnhhRdeEK5zC/a8efcutmVk\nYL7Zq8giISEBfn5+cHV1RVhYmLCdW7Dn3hs34EJR6COQHC44c+YMOnXqBIqi0LFjR7HlICoqClFR\nUazbsTh4WzO1qDx4k0xiYiImTJiAY8eOiTN1svA2ftPFRVJ53nv37sXVq1exaNEicQSYsaeHRoOO\nEot5//jjjxgwYAD69u0rjgAz9vRWqSClrHmtVmsoM+zn5yds5yY87+qO7cKFC21q3uLg3bJlS+zc\nudOmxkklNDQUR48eFWfgZtBnf5UKkNBGiFGjRonXOZOYt4eHQGK44ZtvvhGvcwYxb1g6jYcglEol\n/vzzT7Fl8ILFBcvnn38eJSUlVXYfXbp0SfCTktly9uxZLFiwwPCZkx1UtmIHMe/Vq1dj27ZtAPSz\nM1EXf+wgRjtu3DjEx8eLLUOPxO2ZnZ2N3r17i7/pRuxsEwDYtWsXDh8+jMaNG6NVq1aYO3cu6kvs\nNI3GjRujTx8CInVMYt6PHhGf592zZ0/06NFDbBmMYt6LJJAZNX36dDRq1EhsGZZj3vHxOHznjkBi\nbMPLywsrVqyw+0M9GKVY1K9f3+BlSYnHjx8jLy8PgYGB8PT0FD4LwhSWYt5qNZEx72vXrqFhw4ZQ\nq9Vo3ry52HKeYinP28VFQDHMiY6ORvfu3UFRFOOkAEEwl+etUsFJzFmrCYqLi3H69GlDLJmIjDgS\nPG+psnPnTmzdulVsGVVhGPN2ItBrWL16tXXnIQqBBXvW9fbGAAJj3qWlpVi5ciVycnLEllIVC/Z8\nNigIHQMDBRLDnNTUVGzbts38ae52hl0XppowYQKZifgSjXl///33YkswjoRitDRNGw71+OOPP8SW\nYxxL9iTomaqwZ6NGjbB69Wqx5VRF9rytY9myZdizZw8AQndQMdA0JicHeQUFAogxD03TePnll5GU\nlCS2FNMwiXnfvy+QGPPcv38fvXv3RjnJ2RoSinkfPHgQU6ZMEVuGaNid5z148GDh8zmtxVJtE5WK\niNomFEVh/vz5/FRW5BKJxLz9/PywatUqYXfz2oKF2iakrMf06tWLjNi2KWTP2zLnz583pAW1aNEC\n3t7eIisyA5OYt7OzaDFvmqZx9OhRw+fw8HBx0yotwSTm7ekpkJia5OXlVbFnixYtRNPCCEsx7wYN\nRI15X716FXFxcQD0B3r4S7jOClsIfiqZ89NPP+HatWtiy2AOwTHvoqIirF27FvlSKrhPcMw7NTUV\nBw4cEFWD1RBszxs3biAhIUFUDVYhZm0TKUDcQoU5mMS8Hz/GuoICCHnmecXCj4uLi7TSQi3Y81Zy\nMrakpeFTgeRUoNPpoFAo0KxZM/5rcHOJBXvuu3kTKpUKQm7cLy8vh1KpBEVRGD58uIA9s4TnNTdJ\net5arRb9+/dHenq62FJsg7CYd1JSEvr27QudTidYn5xiqbaJRtijnHfu3ImPPvpI0D45xUJtE0+B\na8VMmzYNu3btErRPzpA976oolUp8/fXX5C9MGoNJzNvJSdDaJsHBwVi9ejXZsW1TMIl5e3kJJEbP\noEGD8NxzzwnaJ2cwiHlD4AOdP//8c3gJ/G/ICbLnrUen0+Gvv/4yfG7VqhWZqYBMICDmnZWVZVhI\noyhK2qciERCjjY2NxZUrVwAAarUaderUEaRfXiDAnhs3bjRsYPL19eX/UA++kLNN9CfebN68GcXF\nxWJLYQeDF87YvDzk8rxgmJaWhujoaF77EARLMe979/B5airvMhITE5GSksJ7P7xjwZ77b93CIQEW\nDDMyMvD48WPe++EVnp1L4sMmFQtp7u7u2LRpk9hyuMHC2/h1JyeoeAqbaLVaKJVKtG7dGq1bt+al\nD8ExF/N2cUFHV36OtSgrK4ODgwMoisLo0aN56UMUzNjTS6WCE08x76KiIqiftD1z5kxe+hCc2up5\n37hxAwMGDLCvegUMY9585HmvX78en34qdN4Fz4gY854wYQIOHTrES9uiYSnmHRiIjg0acN5tWVkZ\nOnfujMzMTM7bFo3a7HmHhYVhzZo10o1tm0KkmPfIkSOlm1FiDpFitCtXriR7Q5itiGBPR0dHnDhx\nAu4SPizaKLXJ805PT6+ykBYSEiKuIK5hEvPOz+cs5n3s2DHcuHEDAODq6mp/DweTmDdHsWiaprF6\n9Wrk5eUBAHx8fOzPsbAU805I4CzmnZubi6+//tows65tv022EDd4p6Wl4cKFC2LL4BdLed5OTpzl\neaempiIjI4OTtojFXG0TjQYdOIp5UxSFwsJCFBBQNIxXzMW8nZ3hxVHM2+nJb1yr1XLSHpHYe543\nTdPQarVwcHBA+/btySpMzzUM3sb9HB1Z5dKWlJQYThF57bXXbG5HEliwZx0vLwxkGdooKCiA5slG\nH0lvvmECg5g3WNaKefz4MTw8PKBSqexnYdIYtcHz/v777/HVV1+JLUM4eI55jxo1CjExMazakBQ8\nxu5odREAAAkUSURBVGiLiorQqVMn5ObmsmpHUvBozwsXLmDkyJGs2pAU9u55jx8/nvwymQIytqAA\na/Ly4G6jx7hhwwZ4ilhJjyQSUlLw+717WGD5UqOo1WrExsYaPO/azv6EBDh5euIFG+8PDw/H3r17\nOdVELPbqee/fv99QHczNzc2Q32n3MKjx+4ajo1WHp+p0OqxYsQKFTw4trlUDtwV7emg0Vud5Z2Zm\nYtmyZYaFtFo1cFuwpy21TWJjY7F+/XrDZ5XA2+tFxR4976ysLOnvoOKJfo6OVtU2oSgKOp0OxcXF\ncCHk4AFSqOPpaXXM28XFBRqNxrBBTOYp3QICAB8fq+7x9fVF/fr1eVJEMPaU5115B9Ubb7whZNfk\nwOR0DYbnBObm5sLd3R0URdn/QpopLNmToS1pmsajR4/g4+MDFxcXvP/++xyKlBAc2bOgoABarRbu\n7u4IDQ1FaGgohyIlhL3keb/00kuGUzBkTPNqYaHFWUlubi66du2KoqIigVRJk4SUFCxMTrZ4XUxM\nDCZPniyAImkTmZiIv27etHjdypUrsXHjRgEUEYw9ed5//PGH/SXiWwsDz/t1R0eoLMQV3d3dcfbs\n2dqzVmAKJjFvN8vHWnTv3h2dOnXiUpk0sWBPLycnODD4zf3nP/+RZolhrpGq511eXo6lS5caKgHW\n+oGbIf0cHIwuWKalpWHp0qWGz7V+4GaAuZh3VFRUFe/QiYBDn0mnW0AAOpk4kHrZsmWIjY0FAMPJ\nN7UaKXveSqUSKpUKZWVltWuF2RwsYt7u7u7w9fWVF9IqwyJGW79+fTlFtTos7Nm5c2cEBwfzJEyi\nSM3zriiiTlEUpk+fDjcG01aZp7xWXGywoU6nw8OHDwHoa5NMnDhRHrit4HZqKj67e9fwOScnx3C4\nclhYGLp37y6WNEkSmZiIv+LjDZ8TEhIMKZU9e/ZEvXr1xJJW6+B88M7MzMRzzz2HsrIyrpu2Dxh4\n3uOUSqifpPwdOnTIvrcQs8WCPd1dXNCpkvPw1Vdf4c8//xRCmTSxFPN2dobXk98mTdOYNm0abjJY\nwKyVMJlls4DzOaOvry9iY2Ph6OjIddO1hn4ODoY87379+qFPnz4iK5IudTw9MbBSXvKiRYvkhTQW\ndPP3BwICAOhn1pGRkfJMUCR4CfhZszuw1kFRQH4+cPiwyUv2l5Qgd8cOjJ0wARRFyXFZc1AUcPu2\naXvGxWF+UhKGx8Whbdu28sBtCYoC/v0XKCkx+nVxYiLePHYM6yZNMuwxkDEBRQFlZWafdTbIo4LQ\n1KsHtG4NVMoaqU7DHj1Qai9HlPFNx45ATIxZe/bu08f+6sLzRb9+wIED+v+MoAIw6dVX5XUsJmg0\nQN++Zn+bbKBojs4YoyjKvo4rk5GRkREAW8dOeQ4pIyMjI0Fq3eAdFRUltgRGSEGnFDQCsk6ukXWS\ngTx4E4oUdEpBIyDr5BpZJxnUusFbRkZGxh6QB28ZGRkZCcJptomMjIyMjPXYMgxzluctpwnKyMjI\nCIccNpGRkZGRIPLgLSMjIyNBrB68Dx48iGbNmqFJkyZYtmyZ0WumTZuGJk2aoE2bNrhw4QJrkdZi\nSWNUVBQ8PDwQHh6O8PBwfPHFF4JrBIAJEyagXr16aG1mK7zYtrSkkRRb3rt3D7169ULLli3RqlUr\nfPfdd0avE9ueTHSSYNPi4mJ07twZbdu2RYsWLfDJJ58YvU5sezLRSYI9AUCr1SI8PByDBw82+r3V\ntqStoLy8nG7UqBF9584durS0lG7Tpg197dq1KtdERkbSAwYMoGmapk+fPk137tzZmi5Yw0TjsWPH\n6MGDBwuqyxjHjx+nz58/T7dq1cro92LbkqYtayTFlunp6fSFCxdomqbpvLw8umnTpsT9NpnqJMWm\nBQUFNE3TdFlZGd25c2c6Ojq6yvck2JOmLeskxZ7Lly+nx44da1SLLba0yvOOjY1F48aNERISAkdH\nR4wePRp79uypcs3evXsNJ8N37twZOTk5ePDggTXdsIKJRoCMBdaIiAh4eXmZ/F5sWwKWNQJk2NLP\nzw9t27YFoD+0onnz5khLS6tyDQn2ZKITIMOmLk/qdpeWlkKr1cK72nFyJNiTiU5AfHumpKTgwIED\nmDhxolEtttjSqsE7NTUVDRo0MHwODAxEamqqxWtSUlKs6YYVTDRSFIWTJ0+iTZs2GDhwIK5duyaY\nPmsQ25ZMINGWSUlJuHDhAjp37lzl70mzpymdpNhUp9Ohbdu2qFevHnr16oUWLVpU+Z4Ue1rSSYI9\nZ8yYga+++spkSWJbbGnV4M00l7v6m0XIHHAmfbVr1w737t3DxYsXMXXqVAwdOlQAZbYhpi2ZQJot\n8/PzMWLECHz77bdwdXWt8T0p9jSnkxSbKhQKxMXFISUlBcePHze63ZwEe1rSKbY99+/fj7p16yI8\nPNzsDMBaW1o1eAcEBODevXuGz/fu3UNgYKDZa1JSUhDw5OQNIWCi0c3NzTDVGjBgAMrKyvDo0SPB\nNDJFbFsygSRblpWVYfjw4XjttdeMPqCk2NOSTpJsCgAeHh4YNGgQzp49W+XvSbFnBaZ0im3PkydP\nYu/evWjYsCHGjBmDo0eP4vXXX69yjU22tCbgXlZWRoeGhtJ37tyhS0pKLC5Ynjp1SvBFDCYa79+/\nT+t0OpqmafrMmTN0cHCwoBorc+fOHUYLlmLYsgJzGkmxpU6no8eNG0dPnz7d5DUk2JOJThJs+vDh\nQzo7O5umaZouLCykIyIi6MOHD1e5hgR7MtFJgj0riIqKol988cUaf2+LLa3aYeng4IBVq1ahX79+\n0Gq1eOutt9C8eXOsXbsWAPD2229j4MCBOHDgABo3bgyNRoP169db0wVrmGjcuXMnVq9eDQcHB7i4\nuGDr1q2CaqxgzJgx+Oeff5CZmYkGDRpg4cKFhoObSbAlE42k2DImJgabN2/GM888g/DwcADAl19+\nieTkZINWEuzJRCcJNk1PT8cbb7wBnU4HnU6HcePGoXfv3kQ960x1kmDPylSEQ9jakrPaJjIyMjIy\nwiHvsJSRkZGRIPLgLSMjIyNB5MFbRkZGRoLIg7eMjIyMBJEHbxkZGRkJIg/eMjIyMhLk/wHC4wTs\nWTX7hwAAAABJRU5ErkJggg==\n"
+      }
+     ],
+     "prompt_number": 2
+    },
+    {
+     "cell_type": "markdown",
+     "metadata": {},
+     "source": [
+      "See, that wasn't so hard.\n",
+      "\n",
+      "Now we need to think a bit. What voltage *really* appears across the load? Well, it is V<sub>a</sub> - V<sub>b</sub>, but here we're going to use functions of time rather than DC values. For now, let's ignore the DC link voltage; just assume it's 1.0 volt, so we can look at the raw PWM signals. Also, note that our PWM period is 1.0 rather than 50 &mu;sec or 100&mu;sec. This is called *normalizing* the equations, and we'll add back these factors of DC link voltage and PWM period later."
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "pwmA = pwm(t,0.5,centeralign=False)\n",
+      "pwmB = pwm(t,0.2,centeralign=False)\n",
+      "\n",
+      "fig = plt.figure()\n",
+      "ax = fig.add_subplot(1,1,1)\n",
+      "digitalplotter(t,\n",
+      "  ('pwmA',pwmA),\n",
+      "  ('pwmB',pwmB),\n",
+      "  ('pwmA-pwmB',pwmA-pwmB))(ax)"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "display_data",
+       "png": "iVBORw0KGgoAAAANSUhEUgAAAagAAAD5CAYAAAByF6EmAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n//C+33x3aTJZAAAAAElFTkSuQmCC\n"
+      }
+     ],
+     "prompt_number": 3
+    },
+    {
+     "cell_type": "markdown",
+     "metadata": {},
+     "source": [
+      "There, the difference between two PWM signals is just a signal that goes between either 0 and 1, or -1 and 0, or -1 and 1, depending on the timing between the signals.\n",
+      "\n",
+      "## Ripple current ##\n",
+      "\n",
+      "How can we figure out what the current looks like, if we don't know what's in the '?' box of the inductive load?\n",
+      "\n",
+      "![](http://farm6.staticflickr.com/5454/9231079095_17b592627d_o.png)\n",
+      "\n",
+      "Here's the trick: **as long as the circuit's dominant electrical time constant is long compared to the PWM period, we can confine our interest to high frequency content of the load current.** The electrical time constant is approximately L/R, where R is the series resistance of the load; it's exact if there are no other load impedances. If you have R = 0.2 ohm and L = 100 &mu;H, that gives you a time constant of 500 &mu;s, which is quite a bit longer than the usual PWM periods of 50 &mu;s or 100 &mu;s (corresponding to 20 kHz and 10 kHz). For typical motors, the electrical time constant is in the 200 &mu;s - 20 ms range. Other power electronic loads (transformers, etc.) may have lower time constants.\n",
+      "\n",
+      "The other part of the trick is that **if the electrical time constant is *not* long compared to the PWM period, we are probably not switching at a high enough frequency**. That's because the dynamics of the load current are so fast that we can't ignore what happens in the timescale of pulse-width modulation, and any control system will have to be more complicated.\n",
+      "\n",
+      "So in many cases, the frequency content of the load current can be nicely segregated into disjoint pieces: the high-frequency content of ripple current, and the low-frequency content of whatever's in the '?' box. Stated another way:\n",
+      "\n",
+      "**The ripple current of the load is determined by the content of a PWM waveform at harmonics of the PWM frequency. The average-value model current of the load is determined by the content of a PWM waveform below the PWM frequency.** Average-value models are commonly used to design control systems in power electronics, and they assume that the PWM frequency components of the load voltages are absent, and the voltage on node A is equal to D<sub>A</sub>(t) &times; V<sub>DC</sub> where D<sub>A</sub>(t) is the input to the PWM generator.\n",
+      "\n",
+      "So what's the high-frequency content of a PWM waveform? It's just the PWM waveform minus its average value. We can simulate this in Python, too:"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "def extendrange(ra,rb):\n",
+      "  '''return a tuple (x1,x2) representing the interval from x1 to x2,\n",
+      "given two input ranges of the same form, or None (representing no input).'''\n",
+      "  if ra is None:\n",
+      "    return rb\n",
+      "  elif rb is None:\n",
+      "    return ra\n",
+      "  else:\n",
+      "    return (min(ra[0],rb[0]),max(ra[1],rb[1]))\n",
+      "\n",
+      "def createLimits(margin, *args):\n",
+      "    '''add proportional margin to an interval:\n",
+      "createLimits(0.1, (1,3),(2,4),(0,2)) calculates the maximum extent \n",
+      "of the ranges provided, in this case (0,4), and adds another 0.1 (10%)\n",
+      "to the extent symmetrically, thus returning (-0.2, 4.2).'''\n",
+      "    r = None\n",
+      "    for x in args:\n",
+      "        r = extendrange(r, (np.min(x),np.max(x)))\n",
+      "    rmargin = (r[1]-r[0])*margin/2.0\n",
+      "    return (r[0]-rmargin,r[1]+rmargin)\n",
+      "\n",
+      "def calcripple(t,y):\n",
+      "    ''' calculate ripple current by integrating the input,\n",
+      "then adjusting it by a linear function to put both endpoints\n",
+      "at the same value. The slope of the linear function is the \n",
+      "mean value of the input; the offset is chosen to make the mean value\n",
+      "of the output ripple current = 0.'''\n",
+      "    T = t[-1]-t[0]\n",
+      "    yint0 = np.append([0],scipy.integrate.cumtrapz(y,t))\n",
+      "    # cumtrapz produces a vector of length N-1\n",
+      "    # so we need to add one element back in at the beginning\n",
+      "    meanval0 = yint0[-1]/T\n",
+      "    yint1 = yint0 - (t-t[0])*meanval0\n",
+      "    meanval1 = scipy.integrate.trapz(yint1,t)/T\n",
+      "    return yint1 - meanval1\n",
+      "\n",
+      "def showripple(fig,t,Va,Vb,titlestring):\n",
+      "    '''plot ripple current as well as phase duty cycles and load voltage'''\n",
+      "    axlist = []\n",
+      "    Iab = calcripple(t,Va-Vb)\n",
+      "    margin = 0.1\n",
+      "    ax = fig.add_subplot(3,1,1)\n",
+      "    digitalplotter(t,('Va',Va),('Vb',Vb))(ax)\n",
+      "    ax.set_ylabel('Phase duty cycles')\n",
+      "    axlist.append(ax)\n",
+      "\n",
+      "    ax = fig.add_subplot(3,1,2)\n",
+      "    ax.plot(t,Va-Vb)\n",
+      "    ax.set_ylim(createLimits(margin,Va-Vb))\n",
+      "    ax.set_ylabel('Load voltage')\n",
+      "    axlist.append(ax)\n",
+      "\n",
+      "    ax = fig.add_subplot(3,1,3)\n",
+      "    ax.plot(t,Iab)\n",
+      "    ax.set_ylim(createLimits(margin,Iab))\n",
+      "    ax.set_ylabel('Ripple current')\n",
+      "    axlist.append(ax)\n",
+      "\n",
+      "    fig.suptitle(titlestring, fontsize=16)\n",
+      "    \n",
+      "    # annotate with peak values\n",
+      "    tlim = [min(t),max(t)]\n",
+      "    tannot0 = tlim[0] + (tlim[1]-tlim[0])*0.5\n",
+      "    tannot1 = tlim[0] + (tlim[1]-tlim[0])*0.6\n",
+      "    for y in [min(Iab),max(Iab)]:\n",
+      "      ax.plot(tlim,[y]*2,'k:')\n",
+      "      # see: \n",
+      "# http://matplotlib.org/api/axes_api.html#matplotlib.axes.Axes.annotate\n",
+      "      ax.annotate('%.5f' % y, xy=(tannot0,y), xytext=(tannot1,y*0.3),\n",
+      "        bbox=dict(boxstyle=\"round\", fc=\"0.9\"),\n",
+      "        arrowprops=dict(arrowstyle=\"->\",\n",
+      "          connectionstyle=\"arc,angleA=0,armA=20,angleB=%d,armB=15,rad=7\"\n",
+      "             % (-90 if y > 0 else 90))\n",
+      "      )\n",
+      "    return axlist\n",
+      "        \n",
+      "def showpwmripple(fig,t,Da,Db,centeralign=False,titlestring=''):\n",
+      "    return showripple(fig,t,\n",
+      "               pwm(t,Da,centeralign),\n",
+      "               pwm(t,Db,centeralign),\n",
+      "               titlestring='%s-aligned pwm, $D_a$=%.3f, $D_b$=%.3f' % \n",
+      "                 ('Center' if centeralign else 'Edge', Da, Db))"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [],
+     "prompt_number": 4
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "fig = plt.figure(figsize=(8, 6), dpi=80)\n",
+      "showpwmripple(fig,t,0.4,0.2,centeralign=False);"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "display_data",
+       "png": "iVBORw0KGgoAAAANSUhEUgAAAgMAAAGLCAYAAABa0JF/AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSUVORK5CYII=\n"
+      }
+     ],
+     "prompt_number": 5
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "fig = plt.figure(figsize=(8, 6), dpi=80)\n",
+      "showpwmripple(fig,t,0.6,0.2,centeralign=True);"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "display_data",
+       "png": "iVBORw0KGgoAAAANSUhEUgAAAgMAAAGLCAYAAABa0JF/AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYII=\n"
+      }
+     ],
+     "prompt_number": 6
+    },
+    {
+     "cell_type": "markdown",
+     "metadata": {},
+     "source": [
+      "If we want to know what the ripple looks like in general, and not just for a specific case, we have to do some algebra. (Luckily, if you're clumsy like me you can use Python's `sympy` library to help.)\n",
+      "\n",
+      "The edge-aligned case is fairly easy to analyze. Let's say the PWM period is T, and let's define D = D<sub>a</sub> - D<sub>b</sub>. If D > 0, then the load voltage is V<sub>dc</sub> for a period of time DT and 0 otherwise. If D < 0, then the load voltage is -V<sub>dc</sub> for a period of time -DT and 0 otherwise.\n",
+      "\n",
+      "This means the average load voltage is DV<sub>dc</sub>, whether D > 0 or not. \n",
+      "\n",
+      "Let's just consider the D > 0 case for now.\n",
+      "\n",
+      "Remember: the average or low-frequency load voltage appears across the noninductive components of the load, and the high-frequency load voltage appears across the load inductance.\n",
+      "\n",
+      "This means that during the time interval DT, when the load voltage is V<sub>dc</sub>, the voltage across the load inductance is V<sub>dc</sub> - (average load voltage) = V<sub>dc</sub> - DV<sub>dc</sub> = (1-D)V<sub>dc</sub>, and the inductor current increases by $\\Delta I = \\int V/L \\ dt = \\int_0^{DT} (1-D)V_{dc}/L \\ dt = D(1-D)V_{dc}T/L$.\n",
+      "\n",
+      "During the rest of the PWM period, an interval (1-D)T, when the load voltage is 0, the voltage across the load inductance is 0 - (average load voltage) = 0 - DV<sub>dc</sub> = -DV<sub>dc</sub>, and the inductor current increases by $\\Delta I = \\int V/L \\ dt = \\int_{DT}^{T} -DV_{dc}/L \\ dt = -(1-D)DV_{dc}T/L$. \n",
+      "\n",
+      "Note that the increases in inductor currents have equal amplitudes and opposite signs; the net increase in inductor current over a PWM period, due to PWM voltage harmonics, is exactly 0. Changes in average inductor current are created by low-frequency components of load voltage, where the applied voltage is not equal to the load's DC voltage (whether it's I*R from resistive voltage drops, or something else from motor back-emf).\n",
+      "\n",
+      "The last part of this equation, V<sub>dc</sub>T/L, appears in any ripple current calculation, so let's define a normalized ripple current I<sub>R0</sub> = V<sub>dc</sub>T/L, in which case the peak-to-peak ripple current is just D(1-D)I<sub>R0</sub>. (Alternatively, the zero-to-peak ripple current is half of that, or D(1-D)I<sub>R0</sub>/2.) If we go through the same analysis for D<0, we'll end up with a peak-to-peak ripple current of $|D|(1-|D|)I_{R0}$ handling both cases. (zero-to-peak ripple current = $|D|(1-|D|)I_{R0}/2$)\n",
+      "\n",
+      "The maximum ripple current is I<sub>R0</sub>/4 peak-to-peak, when D = &pm;0.5. Here's what the ripple current looks like as a function of D:"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "D = np.arange(-1,1,0.005)\n",
+      "plt.plot(D,abs(D)*(1-abs(D)))\n",
+      "plt.xlabel('net duty cycle $D = D_a - D_b$',fontsize=16)\n",
+      "plt.ylabel('ripple current / $I_{R0}$',fontsize=16)"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "pyout",
+       "prompt_number": 7,
+       "text": [
+        "<matplotlib.text.Text at 0x10519ce50>"
+       ]
+      },
+      {
+       "output_type": "display_data",
+       "png": "iVBORw0KGgoAAAANSUhEUgAAAZYAAAEWCAYAAABFSLFOAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\niKwosRBCCJEVJRZCCCGyosRCCCFEVv8PyeXESNWRag8AAAAASUVORK5CYII=\n"
+      }
+     ],
+     "prompt_number": 7
+    },
+    {
+     "cell_type": "markdown",
+     "metadata": {},
+     "source": [
+      "Let's double check this point of maximum ripple current, just to make sure it makes sense. With D<sub>a</sub> = 0.6 and D<sub>b</sub> = 0.1, we have D = D<sub>a</sub>-D<sub>b</sub> = 0.5 and the peak-to-peak current normalized to I<sub>R0</sub> should be 0.25 (namely from -0.125 to +0.125):"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "fig = plt.figure(figsize=(8, 6), dpi=80)\n",
+      "showpwmripple(fig,t,0.6,0.1,centeralign=False);"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "display_data",
+       "png": "iVBORw0KGgoAAAANSUhEUgAAAgQAAAGLCAYAAAC4DIoGAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3XtcU/X/B/DXELwB4p0U+IYCCqgggpqWClp5KdG8FFrq\n15TIb9pPs75lVmKaZWZZ0oXyXqngJbFE+mo6ryleUFO8IEICGop4QcWA8fn9sTYYDHbGdrZ9Pns/\nHw8euu2cnff7vM+2987n7BwFY4yBEEIIIXbNwdoBEEIIIcT6qCEghBBCCDUEhBBCCKGGgBBCCCGg\nhoAQQgghoIaAEEIIIaCGgBBCCCGghoA7q1atgoODg96/5s2bG5w/PDwcERERFojUeLGxsXBwcDB4\nny2x5fUpupycHIwaNQpNmzaFm5sbRo4ciZycHMnzJycno2/fvnB1dYWbmxu6d++O3bt312kZpsZi\nq+qaV25uLqZNm4ZevXqhcePGcHBwwOXLl01ejqjr2VY4WjsAUjcbN26Ep6enzn2OjobLqVAooFAo\n5ArLZFVji46OxpAhQ6wUjWG2vj7l8OWXX2Ljxo3Ys2cPxo4di1atWqGsrAx//vkn/v77byxatAhB\nQUGyxnD//n30798fjRo1wpo1awAA77zzDiIiInDq1Ck0bty41vnj4+Mxbdo0TJs2DXPmzIFKpcLJ\nkydRXFxs9DJMjaU21lzXpuR18eJFbNiwAWFhYejbty/+97//mbwcOdcz+QcjXFm5ciVTKBQsMzOz\nTvP369ePRUREmDkq85gzZw5TKBTWDsMotrw+5fTxxx8zDw+Pavdv2LCBNWnShGVlZcm6/CVLlrB6\n9erpvA6ysrKYo6Mj+/TTT2udNysrizVs2JB9/vnnZlmGKbFIYa11bUpe5eXl2v9/9913TKFQsD//\n/NOk5ci9ngljtrsvlphs/fr18Pf3R8OGDdG5c2f89NNPeqdbt24d/P390ahRIwQFBWHr1q16d4Wf\nPHkSkZGRaN68ORo3bozHHnsM+/fvlxTLxYsXMW7cOLRv3x6NGzeGj48P/vOf/+DWrVu1zqdvyEBK\nvJr5Ll68iKeeegqurq7w9vbGvHnzwPScrVtKblLXZ215nD59GhEREXB2dkbbtm0xZ84cbTzHjh2D\ng4MDDhw4oJ1v6dKlcHBwwLvvvqu9LyMjAw4ODti+fbvOc587dw5PPPEEnJ2d4e3tjZUrVwIAVq5c\niQ4dOsDV1RX9+/fHpUuXJMddkz179qBfv37V7h81ahT8/f3x8ccfm7yM2mzduhW9evVC+/bttfd5\ne3vj0UcfRVJSUq3zrlixAo6Ojnj55ZfNsgxTYpHCWuvalLyM2WtmK+uZ0DEE3CorK6v2V15ern18\n586dGDt2LDp27IiffvoJb7zxBqZPn44LFy7oPM+OHTvw/PPPIzAwED/99BNef/11zJgxAxkZGTov\n6uPHj6N37964desWli1bhk2bNqFFixZ4/PHHcfz4cYPxXr16FZ6envj000/x66+/4r333sNvv/0m\naTigchxS49V45pln8PjjjyMpKQnDhw/HnDlzsHr1ap1ppOQmdX0aMnz4cDz55JNISkrC2LFjMW/e\nPLz//vsAgJCQEDRt2hS7du3STr9r1y40atSo2n2Ojo7o27evznOPHj0aw4YNw9atW9GtWzdMmjQJ\nM2fOxLJly/DJJ59g5cqVOH/+PMaOHWtUzFWVl5fjwIEDej+kAKB9+/b4/fffJT+fvm256p9KpdKZ\n58yZM+jcuXO15woMDER6enqty9u/fz86duyItWvXwsfHB05OTvDz88NXX31Vp2WYEosh5lzXxq5n\nOfOqzBbWM/mHtXdREONohgz0/Q0dOlQ7Xe/evVmnTp105j106BBTKBQ6u7h79erFunTpojPdsWPH\nqk3Xv39/FhgYyEpLS7X3qVQqFhAQwIYPH250HqWlpWzfvn1MoVCwEydOMMb0DxlUvU9qvJr5Vq1a\npTNtly5d2JNPPqlzn5TcpK7PmmjiWbhwoc790dHRzNXVld2+fZsxxtiwYcO0z6dSqVjz5s3ZzJkz\nmZOTE7t37x5jjLHnnnuO9erVq9pzf//999r7bt68yerVq8datmzJioqKtPd/8cUXTKFQsMuXLxuM\nuSZHjx5lCoWCnT9/Xu/jgwYNYkFBQZKea/fu3TVuz5X/qq7j+vXrs1mzZlV7vtmzZzNHR8dal9mx\nY0fWpEkT1qpVK7Zs2TK2e/duNmXKFKZQKHSGEaQuw5RYDDHXupa6nsPDw7XzmCsvQ0MGtrCeiRod\nVMipLVu2VDuosGnTpgAAlUqFo0ePYtasWTqP9+zZE97e3trbKpUKx44dw9tvv60zXbdu3dCuXTvt\n7eLiYuzduxezZ88GoP6moTFgwACsXbtWe7vyY0DFgY4lJSX45JNPsGbNGly+fBkPHjzQTnP+/HkE\nBwcbzFlqvJU99dRTOrc7deqEEydOGJVbeXk5jhw5Um25VdenFM8++6zO7eeeew7Lli3D6dOn0bt3\nb0REROCtt95CSUkJTp8+jVu3buG///0v4uPjsW/fPgwcOBC7d+/G5MmTqz334MGDtf9v2rQp3N3d\n0a1bN7i4uGjv79ixIwD10dpeXl5Gxa6xZ88ePPTQQ+jQoUO1x8rLy5GWllbjN9qqwsLCcPToUYPT\nubq6Gh1nTcrLy1FUVITVq1dj+PDhANS/FsnOzsaHH36IV1991WzLMpW51rU11jPhDzUEnOrcubPO\nWFplBQUFKC0thbu7e7XHWrduXW26yvfpm66wsBAqlQrvv/++dvd2ZZpd9UqlEv3799d5TDOMMWvW\nLMTFxWHOnDno3bs3XF1dkZOTgxEjRug0B7WRGm9lVX+K2aBBA53lScmtoKAAZWVlBtenFFWfQ3M7\nLy8PABAREYG///4bBw4cwPHjx9G1a1e0bt0ajz32GHbt2gVPT09cv3692noGgGbNmuncrl+/vt77\nAEhe5/rs2bOn2nBF5ceuXbuGkSNHSnouFxcXSUfJVx0OatasGW7evFltusLCQoM/v23RogUyMzPx\nxBNP6Nz/xBNPICUlBfn5+XB3d5e8DFNiMcRc67ou61nOvCqzhfVM1KghEFDLli3h5OSE/Pz8ao/l\n5+drv01rprt27Zre6TTffps2bQoHBwdMnToV48ePr3G5tX0LWb9+PSZMmKDzLfvOnTvGpCU5XmNI\nya1FixaS1qcUf/31l870muf08PAAAHTp0gUtW7bErl27kJaWpv3g79+/PxITE+Hp6Yn69evj0Ucf\nlbxMcyovL8f+/fvxwQcf6H185cqV6NSpE0aPHi3p+fQ1kfqEh4frHEfRqVMnnD59utp06enpCAwM\nrPW5OnXqhMOHDxtcptRlmBJLbYxZ1+Xl5Zg2bRocHBywdOnSatNKXc/9+vXTnotBrryqsvZ6JhXo\noEIB1atXD927d8eGDRt0jqg/fPgw/vzzT53pwsLCsHHjRp35jx07huzsbO1tZ2dn9OnTBydOnEBI\nSAi6detW7Q9QfwvRdz+g3jVf9TwJmqPgjclLSryGVP4WJCU3qetTisTERJ3b69evh6urK7p06aKN\nLTw8HDt27MC+fft0GoK0tDRs2bIFPXv2RMOGDY1arrmcOnUKN2/e1Lubev/+/UhKSsLatWslH2Wu\naSIN/cXHx+vMFxkZiUOHDiErK0t7X3Z2Ng4ePIjIyMhalzlixAgAQEpKis79KSkp8PLy0u61kboM\nU2KpjTHr2sHBAR06dEDv3r31PpfU9fztt9/KnldV1l7PpBJrH8RAjKM5qHDjxo3s999/r/ZXVlbG\nGGNs586dzMHBgUVGRrJffvmFrVy5kj388MOsTZs2OgcO7dixgykUCjZ8+HC2bds2tnr1ata+fXvW\npk0bNmDAAO10x48fZy4uLuyJJ55g69evZ0qlkm3cuJG9/fbb7K233jIY95gxY1jjxo3ZV199xX79\n9VcWExPDfH19mUKhYKtXr2aMSTuoUGq8mvlUKpXO802YMIF5e3vr3CclN6nrsyaaeHx9fdmCBQvY\n//73PzZz5kymUCjY+++/rzPtV199xRQKBXNyctIeEKhSqZibmxtTKBQsNjZW73NXzfXhhx9m48aN\n07lPc3DZb7/9xhhT/45b33PWZMmSJaxVq1bV7v/ll19Yx44d2cGDByU9j6nu3bvHfH19WZcuXVhS\nUhJLSkpiQUFBzMfHR3vwJWOMKZVKVq9ePbZmzRqd+fv3789atGjBvvnmG/brr7+yyZMn62yLxixD\n6nSMGbe+jV3XI0aMYJcuXTL4vFKZuo43bNjANmzYwF5++WWmUCjY119/zTZs2MD27NlTp+UYs55J\n3VBDwJlVq1bVeISwg4MDu3HjhnbadevWsY4dO7IGDRqwzp07sy1btrDw8PBqR2yvXbu22nQhISFs\nxIgROtOdPXuWRUVFsdatW7MGDRowT09PNmzYMLZ9+3aDcRcUFLCoqCjWrFkz1qxZM/bCCy+wI0eO\nVGsIHBwcdOaLjY2tdp+UeDXzVf2Q/Pe//83atWtXLT4puUldn/poPrTPnDnDIiIiWKNGjVibNm3Y\ne++9pzcWhUKh80sCxtS/QHBwcKj2hlpTrt7e3nobAgcHB21DcPr0aaZQKFh8fHyt8Z84cYJNmTKF\neXl5sYceeohNnz6dTZ8+nU2dOpVFRUWxWbNmscLCwmrz7dixg3366ads9erV7Omnn651Gca6fPky\nGzlyJGvSpAlzdXVlzzzzTLUj2TX5Vv6gZ4yxO3fusFdeeYW5u7uz+vXrs+DgYLZu3bo6LcOY6aSs\n77qua09PT5aUlMTeeecddurUqRqf3ximrOOq7001/WJE6nKMmY7UDTUEpJqcnBzWsGFDNn/+fGuH\nIgkP8db0Ld7a4uPjWevWrVlxcbHZn/vPP//U7j3566+/6vTzVNHItb7Pnj3Lhg0bxhhTN2EzZsww\n6/MT+0AHFdq5Bw8eYMaMGXj88cfRsmVLXLp0CR9//DGcnZ31/rTN2niL19bt3bsXM2bMkOWYhJUr\nV2Lo0KEAgH379kn+KaLI5FrfBw8exOOPPw5AfQIffb+IIcQQagjsXL169ZCfn49p06bhxo0bcHZ2\nRt++fbFp0yabfFPhLV4NW70I0g8//CDbc9+4cUP7a4iUlBTExMRgx44d1X7uZ0/kWt83b97UnsVv\n+/bt1c7GSYgUCsb0nNidEEJMdOrUKWzatAkhISE4fPgw2rRpg8GDB8PPz8/aoQnnzz//xIoVK9C8\neXOEhITUeO4CQmpDDQEhhBBC6DwEhBBCCKGGgBBCCCGghoAQQgghoIaAEEIIIaCGgBBCCCGghoAQ\nQgghoIaAEEIIIaCGgBBCCCGghoAQQgghoIaAEEIIIaCGgBBCCCGghoAQQgghoIaAEEIIIaCGgBBC\nCCGghoAQQgghoIaAEEIIIQAcrR2AnBQKhbVDIIQQQiyKMVan+YTfQ8AYE/Zvzpw5Vo+B8qPcKD/x\n/ig/fv9MIXxDQAghhBDDhB4yAIBDh6wdgXxyc6Xn17Ej0KyZvPGYU26ucfnxxpjcGjUCgoPljcec\nGAOuXhW3doBx9Xv4YaBNG3njMaebN8V+7QHS83NwAEJCACcn+WOyBQpm6j4GG6ZQKNCzp7Dp4c4d\nJZo0CTc43ZUrwJgxwMKF8sdkLv37A5mZSrRpE27tUGQhtXYAcOyY+gO2ZUt5YzKXixeBwEAlunUL\nt3YospFav8JCoHNnYPNm+WMylzfeANasUaJdu3BrhyIbqfU7dw5ISAAGDpQ/JnNRKBR1HjqgPQRc\nC5c01eLFQF6evJGYW2kp8P334ejb19qRyCVc8pRt2qjXBy9KSwEfn3B67QHYuhX47jt5IzG30lLg\nrbfCMWOGtSORU7ikqZ5+mq/XnqksfgxBYWEhTp06ZenFEkIIIaQWFmkI+vXrhzt37qCwsBChoaGY\nPHkyZojdftoUhUI9rssTxtRxE/7qR7WrwFvtAKpfZTzWzxQWaQhu376NJk2aYPPmzRg/fjxSU1Ox\nc+dOSyyagM+Nmt6UKvBWP6pdBd5qB1D9KuOxfqawSEOgUqlw9epVJCYm4qmnngJAJw0ihBBCbIlF\nGoL33nsPAwcOhI+PD3r06IHMzEz4+flZYtEEfHa59C2lAm/1o9pV4K12ANWvMh7rZwqL/Mpg9OjR\nGD16tPa2j48PNm3aZIlFE/C5UdObUgXe6ke1q8Bb7QCqX2U81s8UFtlDcP78eQwYMACdOnUCAJw6\ndQrz58+3xKIJIYQQIoFFGoLo6GgsWLAA9evXBwB06dIF69ats8SiCfjsculbSgXe6ke1q8Bb7QCq\nX2U81s8UFmkI7t+/j549e2pvKxQKONnLuSBtAI8bNb0pVeCtflS7CrzVDqD6VcZj/UxhkYagVatW\nuHjxovb2xo0b0Yank3tzjl7c/OPpTYmnWAkxxJ62Z4scVBgXF4eXXnoJ586dQ9u2bdGuXTv8+OOP\nllg0+QdvGzV9S6nA43rgMWY58PgNk157FextPVikIfDx8cFvv/2Ge/fuoby8HK6urpZYLPkHvSnx\njbf6Ue0q8FY7gOpXGY/1M4WsDcHixYu1/698IiLGGBQKBV577TU5F0/+QS9u/vH0psRTrIQYYk/b\ns6wNQVFREZ2R0EbwtlHTt5QKPK4HHmOWA4/fMOm1V8He1oOsDUFsbKzJz9G/f3+89dZbePLJJ7X3\nLVmyBBcuXMBXX31l8vPbA3pT4htv9aPaVeCtdgDVrzIe62cKi/zKYMKECbh165b29s2bN/Hiiy9K\nmnfMmDFYv369zn0JCQkYO3asWWMUGb24+cfTmxJPsRJiiD1tzxZpCE6ePImmTZtqbzdr1gzHjx+X\nNO/IkSOxbds2lJWVAQCys7Nx5coVrF27Ft27d0fnzp3NsidCdLxt1PQtpQKP64HHmOXA4zdMeu1V\nsLf1YJGGgDGGwsJC7e3CwkKoVCpJ8zZv3hw9evRAcnIyAGD9+vV47rnnsGDBAhw5cgQnT57Enj17\n8Mcff8gSuwjoTYlvvNWPaleBt9oBVL/KeKyfKSzys8OZM2eiV69eePbZZ8EYw4YNGzB79mzJ82uG\nDSIjI5GQkIAVK1Zg/fr1+O6771BWVoarV68iPT0dXbp0qTZv5b0H4eHhCA8PN0NGfKEXN/94elPi\nKVZCDLH17VmpVEKpVJrluSzSEIwfPx6hoaHYtWsXFAoFfvrpJwQGBkqePzIyEjNmzEBaWhru37+P\nZs2aYfHixTh69Cjc3NwwceJEPHjwQO+8NJygZusbdVX0LaUCj+uBx5jlwOM3THrtVeBhPVT9ojt3\n7tw6P5dFhgw05xuYNm0apk6dalQzAAAuLi6IiIjAxIkTMXbsWNy5cwfOzs5o0qQJ8vPzsX37dvp5\nYy3oTYlvvNWPaleBt9oBVL/KeKyfKSyyhyAgIAAvvfQSSktL8eKLL2LMmDFwc3Mz6jnGjBmDESNG\nIDExER06dEBISAj8/f3h5eWFxx57TKbIxUAvbv7x9KbEU6yEGGJP27NFGoLo6GhER0fj3LlzWLVq\nFbp06YLHHnsM0dHRiIiIkPQcw4YN0zkQceXKlXKFKyTeNmr6llKBx/XAY8xy4PEbJr32KtjberDI\nkAEAqFQqnDt3DmfPnkWrVq0QHByMTz/9FM8995ylQrBb9KbEN97qR7WrwFvtAKpfZTzWzxQW2UMw\nY8YM/Pzzz+jfvz9mz56NHj16AADefPNNdOzY0RIh2DV6cfOPpzclnmIlxBB72p4t0hAEBQVh/vz5\ncHZ2rvbY4cOHLRGC3eNto6ZvKRV4XA88xiwHHr9h0muvgr2tB4sMGbi5uaG0tFR7+9atW9iyZQsA\n6JzBkMiD3pT4xlv9qHYVeKsdQPWrjMf6mcIiDcHcuXN1PvibNm1K5wewIHpx84+nNyWeYiXEEHva\nni126uKqpJ66mJiOxy6XvqVU4K1+VLsKvNUOoPpVxmP9TGGRhiA0NBSvvfYaMjMzcfHiRcyYMQOh\noaGWWDQhhBBCJLBIQ7B06VI4OTnhueeeQ1RUFBo2bIgvv/zSEosm4LPLpW8pFXirH9WuAm+1A6h+\nlfFYP1NY5FcGLi4uWLhwoSUWRfTgcaOmN6UKvNWPaleBt9oBVL/KeKyfKSx2YiJCCCGE2C5qCOwA\nj10ufUupwFv9qHYVeKsdQPWrjMf6mcIiDcGNGzcssRhSAx43anpTqsBb/ah2FXirHUD1q4zH+pnC\nIg3BI488gtGjRyM5OVnvTxAJIYQQYl0WaQjOnz+P6OhorFmzBr6+vpg1axYuXLhgiUUT8Nnl0reU\nCrzVj2pXgbfaAVS/ynisnyks0hA4ODjgySefxPr16/Hdd99h9erV6N69O/r164eDBw9aIgS7xuNG\nTW9KFXirH9WuAm+1A6h+lfFYP1NY5GeHBQUF+PHHH7FmzRq4u7sjLi4OQ4cOxcmTJzFq1ChkZ2db\nIgxCCCGE1MAiDUHv3r3xwgsvICkpCZ6entr7w8LC8PLLL1siBLvGY5dL31Iq8FY/ql0F3moHUP0q\n47F+prBIQzB//nw8++yzOvclJibi2WefxVtvvWWJEOyaQgFkZADffGPtSKS7fZvelDQUCmDjRuDo\nUWtHIs3Zs1Q7DYUCuHaNr9deZibVT0OhAPbssZ+mQMEscNh/t27dcPz4cZ37QkJCkJaWJutyFQoF\n/aoBwKVLwKJFfG3U9esDH30ENG5s7UisLz4ekPmlYna9ewPjx1s7Cuu7dQt4912g0tXfbZ5CAbzx\nBtC+vbUjsb6UFGDLFmtHYZz4+Lp/7snaEGzfvh3JyclISEhAVFSUNsiioiKkp6cjNTVVrkUDoIaA\nEEKIfTHlc0/WIYO2bdsiNDQUSUlJCA0N1QbZpEkTfPbZZ3IumhBCCCFGsMiQQWlpKZycnOReTDUK\nhQJZN7MkTduiUQu4NnCVOSIiVdHfRbhRLO0Mlw4KB3g18YKCBj5txpWiKyhRlUiatkmDJmjeqLnM\nERGp/i77G1fvXpU8vYerB5zqWf79nehnyh4CizQE7dq1q75ghQKXLl2SdbkKhQIPf/awwekelD1A\n8EPB+PWFX2WNh0j35PdP4lT+KTR0bGhw2vx7+fh5zM94vP3jFoiMGJJ9Kxt+S/3g4ephcNqy8jLU\nr1cfl/5P3vcCIt2s32bhm6PfwK2Bm8Fpbz64iVmPzcJbj9HB4bbCZocMNI4cOaL9/4MHD7Bx40aL\nXd8ge3q2wWmU2UrMUc6RPxgiWXFZMRJHJ6Lvw30NTvv02qfxoOyBBaIiUhSXFsO3uS/OvnLW4LR5\nd/LQ/bvuFoiKSFVcWoz3+r6HGb1mGJx2jnIOvfYEYpEzFbZs2VL75+npienTp2Pbtm2WWDQhhBBC\nJLDIHoJjx45px3fLy8tx9OhRqFQqSyxaEgXo1wi2hjEGBaQdE0C/JrEtDEbWDlQ7W8LAJB+PowDV\nTyQWaQhmzpyp3cAcHR3h7e2NxMRESyxaEnpTsj30psQvxoysHTVzNsWoZhwKlLNymSMilmKRhkCp\nVFpiMYQQQgipI1kbgsWLFwNAjd8WXnvtNTkXLxl9S7E9NGTALxoy4JtRe+fotScUWRuCoqIiKBQK\nnD9/HkeOHEFkZCQYY/jll1/Qo0cPORdtFHpTsj00ZMAvGjLgm7FDBlQ/ccjaEMTGxgIA+vTpg+PH\nj8PVVX3in7lz52LIkCFyLpoQQgghRrDIzw6vXbumc6ZCJycnXLt2zRKLloS6XNtDQwb8oiEDvhk9\nZED1E4ZFDiocP348evTogREjRoAxhi1btmDChAmWWLQktFHbHhoy4BcNGfCNhgzsl0UagtmzZ2PQ\noEHYt28fFAoFVq1ahZCQEEssmhBCCCESWKQhAIDQ0FCEhoZaanFGoS7X9tCQAb9oyIBvNGRgvyxy\nDIGto43a9tCQAb9oyIBvNGRgv6ghIEKgNyXbQc0ZIXyyWEOQnZ2NnTt3AgDu37+PO3fuWGrRBlGX\na3uMHTIgtoWGDPhFQwb2yyINwbfffovRo0cjJiYGAJCbm4tnnnnG4Hz9+/fH//73P537lixZgoCA\nAAwdOtRs8dFGbXtoyIBfNGTANxoysF8WaQi+/PJL7N+/H02aNAEAdOjQQdJ5CMaMGYP169fr3JeQ\nkICxY8eaNT6pGz+xXfSmZDuMac5o7w4htsMiDUGDBg3QoEED7e2ysjJJbwQjR47Etm3bUFZWBkA9\n7HDlyhX06dMHt2/fxtNPPw1/f39MmTLF5A8E+kCxLTRkwDdjmmzau2NbaMjAflmkIejXrx8++OAD\n3L9/Hzt27MDo0aMl7fJv3rw5evTogeTkZADA+vXr8dxzz0GhUODIkSOIi4tDeno6MjMzsXnz5jrH\nRx8o/KM3JdthTHNNe+cIsR0WOQ/BRx99hOXLl6NLly6Ij4/HkCFDMHnyZEnzaoYNIiMjkZCQgBUr\nVuD27dvo0aMHvL29tdPs378fI0eOrDa/5noKABAeHo7w8PBq09AYtO0x+hgC2sNjM+hqeXyjYwj4\nolQqoVQqzfJcFmkI6tWrh5deegkvvfQSCgsLkZOTI/kNIzIyEjNmzEBaWhru37+PkJAQKJVKnflr\nO4ipckNQG9qobQsNGfCNhgz4RUMGfKn6RXfu3Ll1fi6LDRncuXMHhYWFCA0NRXR0NGbMmCFpXhcX\nF0RERGDixIk6BxOmpqYiOzsb5eXlSExMRJ8+feocH32g8I/elGwHDRkQwieLNAS3b99GkyZNsHnz\nZowfPx6pqanacxJIMWbMGPzxxx8YM2YMAPUHePfu3TF16lQEBgaiffv2GD58eJ3joyED20NDBvyi\nIQO+0ZCB/bLIkIFKpcLVq1eRmJiI+fPnAzDuW/mwYcOgUqm0t/v164c9e/aYNUbaqG0LDRnwjYYM\n+EVDBvbLInsI3nvvPQwcOBA+Pj7o0aMHMjMz4efnZ4lFS0IfKPyjNyXbQUMGhPDJInsIRo8ejdGj\nR2tv+/j4YNOmTZZYtCQ0ZGB7aMiAXzRkwDcaMrBfFmkIiouLsXz5cqSnp6O4uBiA+o1gxYoVlli8\nJLRR2xZEKISaAAAgAElEQVQaMuAbDRnwi4YM7JdFhgzGjRuH/Px8pKSkIDw8HLm5uXBxcbHEoiWh\nDxT+0ZuS7aAhA0L4ZJGG4OLFi5g3bx5cXFwwYcIEJCcn4/Dhw5ZYtCQ0ZGB7aMiAXzRkwDcaMrBf\nFmkI6tevDwBwc3PDH3/8gVu3buH69euWWLRktFHbFhoy4BsNGfCLhgzsl0WOIYiOjkZhYSHmz5+P\nyMhI3L17F/PmzbPEoiWhDxT+0ZuS7aAhA0L4ZLGGAFCfPyArK8sSizQKDRnYHhoy4BcNGfCNhgzs\nl0UaggcPHmDTpk3Izs6GSqXSXnvgvffes8TiDaI3Jdtj7JABNXS2w+gPFKqdTaEhA/tlkYZg2LBh\naNq0KUJDQ9GwYcNaL0ZECCGEEMuzSEOQl5eHX3/91RKLqhP6lmJ7aMiAXzRkwDcaMrBfFvmVQe/e\nvXHq1ClLLKpO6E3J9tCQAb9oyIBvNGRgv2TdQ9ClSxcA6osbrVy5Eu3atUODBg0AqDckW24SCCGE\nEHsia0Pw888/aztNW/4GTt9SbA8NGfCLhgz4RkMG9kvWhsDd3R3ffPMNLl68iKCgIEyaNAmOjhY5\nbMEo9KZke2jIgF80ZMA3GjKwX7IeQzBhwgQcO3YMXbp0QXJyMmbOnCnn4gghhBBSR7J+XT979iz+\n+OMPAMDkyZPRvXt3ORdXZ/QtxfbQkAG/jP2GSWwLDRnYL1kbgsrDA7Y4VKChUChwt+QutpzbYu1Q\nyD/uldwzasgg7a80qp+NOPnXSaNPSfzT2Z+oObAReUV5RjV0Wbey6LUnCFk/pU+dOgVXV1ft7eLi\nYu1thUKBO3fuyLl4ydyd3dHnX32w6sQqa4dilIL0ArQMbGntMGTR9+G+OH/sPHye8DE47YB2A7D2\nj7Vc1U/k2gFAwN0AydO+GPIiVp9cLWM05idy/Vo7t8b9jPtAJ8PTdmvTDckZyVy99gCx62cSJjDB\n02Nz5syxdgiyEjk/kXNjjPLjHeXHL1M+9yxyYiJCCCGE2DZqCAghhBACxT+7GIREBykRQgixN3X9\nWLfdQ//NQOBehxBCCDErGjIghBBCCDUEhBBCCKGGgBBCCCEQpCFISUmBv78//Pz8sHDhQr3TvPrq\nq/Dz80NwcDDS0tIsHKFpDOWnVCrh5uaGkJAQhISEYP78+VaIsm5efPFFuLu7ay+VrQ+vtTOUG891\nA4CcnBxERESgU6dO6Ny5M7744gu90/FaPyn58VzDBw8eoGfPnujatSsCAwMxa9YsvdPxWD8pufFc\nOw2VSoWQkBAMHTpU7+NG185M50KwmrKyMubj48OysrJYSUkJCw4OZunp6TrTbNu2jQ0ePJgxxtih\nQ4dYz549rRFqnUjJb/fu3Wzo0KFWitA0e/fuZcePH2edO3fW+zjPtTOUG891Y4yxq1evsrS0NMYY\nY0VFRaxDhw5Cvfak5Md7De/du8cYY6y0tJT17NmT7du3T+dxnutnKDfea8cYY4sXL2Zjx47Vm0dd\nasf9HoLU1FT4+vrC29sbTk5OiIqKQlJSks40W7duxYQJEwAAPXv2xK1bt5Cfn2+NcI0mJT+A319U\n9OnTB82aNavxcZ5rZyg3gN+6AcBDDz2Erl27AgBcXFwQEBCAK1eu6EzDc/2k5AfwXcPGjRsDAEpK\nSqBSqdC8eXOdx3mun6HcAL5rl5ubi+TkZEyePFlvHnWpHfcNQV5eHry8vLS3PT09kZeXZ3Ca3Nxc\ni8VoCin5KRQKHDx4EMHBwRgyZAjS09MtHaZseK6dISLVLTs7G2lpaejZs6fO/aLUr6b8eK9heXk5\nunbtCnd3d0RERCAwMFDncZ7rZyg33ms3Y8YMLFq0CA4O+j/G61I77hsCqScfqtpB8XLSIilxduvW\nDTk5OTh58iSmTZuG4cOHWyAyy+G1doaIUre7d+9i1KhR+Pzzz+Hi4lLtcd7rV1t+vNfQwcEBJ06c\nQG5uLvbu3QulUlltGl7rZyg3nmv3yy+/oHXr1ggJCal1L4exteO+IfDw8EBOTo72dk5ODjw9PWud\nJjc3Fx4eHhaL0RRS8nN1ddXuHhs8eDBKS0tRWFho0TjlwnPtDBGhbqWlpRg5ciReeOEFvW+ovNfP\nUH4i1BAA3Nzc8NRTT+Ho0aM69/NeP6Dm3Hiu3cGDB7F161a0a9cOY8aMwa5duzB+/HidaepSO+4b\ngrCwMGRkZCA7OxslJSVISEhAZGSkzjSRkZFYs2YNAODQoUNo2rQp3N3drRGu0aTkl5+fr+0EU1NT\nwRjTO17GI55rZwjvdWOMYdKkSQgMDMT06dP1TsNz/aTkx3MNCwoKcOvWLQDqS9Pv2LEDISEhOtPw\nWj8pufFcuwULFiAnJwdZWVlYv349+vfvr62TRl1qx/2pix0dHREXF4eBAwdCpVJh0qRJCAgIQHx8\nPAAgJiYGQ4YMQXJyMnx9feHs7IyVK1daOWrppOS3ceNGfP3113B0dETjxo2xfv16K0ct3ZgxY7Bn\nzx4UFBTAy8sLc+fORWlpKQD+a2coN57rBgAHDhzADz/8gKCgIO2b7YIFC3D58mUA/NdPSn481/Dq\n1auYMGECysvLUV5ejnHjxmHAgAFCvHdKyY3n2lWlGQowtXZCX9yIEEIIIdJwP2RACCGEENNRQ0AI\nIYQQaggIIYQQQg0BIYQQQkANASGEEEJADQEhhBBCIMB5CGrDyyk2CSGEEHOp69kEbHIPgaHryAPS\nr/PMGBP2b86cOVaPgfKj3Cg/8f4oP37/TGGTDcHEiRORkpJS4+PJycm4ePEiMjIy8O2332LKlCkW\njI4QQggRj002BIauI8/zNboJIYQQW8TlMQQ1Xee5rhfduHED6NMHKCkxV4SWUVwcjh9+kDbtG28A\nMTHyxmNu4eHhkqb77DPgyy/ljcXcjKldo0bA778Deq4sbLOk1g4AHnkEKCiQLxY5GFO/0aOBDz+U\nNx5zk1q/HTsAHnfQSq2fgwOQkABUuS6SsLhsCADp13mOjY3V/j88PFzvhn7zJnD3LrBrlzkjtIRw\nSVMtXw5cuCBvJHKQ+qZ07hwwYQIwZoy88ZhXuOQpH3lEvX2K2hAcPqzePvk6Bjhc0lQ7dwLJyfJG\nIgep9cvKAkJDgQ8+kDce8wuXNFV0NHDlim03BEqlEkql0izPxWVDYMx1nis3BLWpXx/w9TVHdLan\nZUv1Ri2y1q3FrZ8jl69S4/j5WTsCeaSnWzsC+bm5ifvac3a2dgSGVf2iO3fu3Do/l00eQ2CIua/R\nbeKBmVwQOUeRc9OwhxxFJXLtRM5Nwx5y1LDJ7x6GriPP6zW6CSGEEFtlkw3BunXrDE4TFxdn1mXy\nNX5pHJFz0xA5R5FzE5091E7kHEXOTR8uhwzMzR52CYmco8i5aYiao6h5VSZyjiLnpmEPOWpQQ0AI\nIYQQagg0RN41JHJuGiLnKHJugNj5iZybhsg5ipybPtQQwL52CRE+ibqNipoXEYc9baPUENgJkTdq\nkXMj/BN5+xQ5N3tEDcE/RN41JHJuGiLnKHJugNj5iZybhsg5ipybPtQQgLpcYvtE3UZFzYuIw562\nUWoI7ITIG7XIuRH+ibx9ipybPaKG4B8i7xoSOTcNkXMUOTdA7PxEzk1D5BxFzk0f2RqCe/fuYd68\neYiOjgYAZGRk4JdffpE0b0pKCvz9/eHn54eFCxdWe7ygoACDBg1C165d0blzZ6xatcqkWKnLJbZO\n1G1U1LyIOOxpG5WtIZg4cSLq16+PgwcPAgDatm2L2bNnG5xPpVJh6tSpSElJQXp6OtatW4ezZ8/q\nTBMXF4eQkBCcOHECSqUSM2fORFlZmSx5iELkjVrk3Aj/RN4+Rc7NHsnWEGRmZuLNN99E/fr1AQDO\nEq8jmZqaCl9fX3h7e8PJyQlRUVFISkrSmaZNmza4c+cOAODOnTto0aIFHE28RqzIu4ZEzk1D5BxF\nzo0QYjtku7hRgwYNUFxcrL2dmZmJBg0aGJwvLy8PXl5e2tuenp44fPiwzjTR0dHo378/2rZti6Ki\nIiQmJpovcEKIRYnc8Iicm4bIOYqcmz6yNQSxsbEYNGgQcnNzMXbsWBw4cEDSWL9CQgUWLFiArl27\nQqlUIjMzE0888QROnjwJV1dXvXFohIeHIzw8vNo09rDbS+QcRc5NQ9QcRc2rMpFzFDk3DVvPUalU\nQqlUmuW5ZGsInnzySXTr1g2HDh0CAHzxxRdo2bKlwfk8PDyQk5OjvZ2TkwNPT0+daQ4ePKg9HsHH\nxwft2rXD+fPnERYWVu35KjcEtRG5ExQ5Nw2RcxQ5N0KIaap+0Z07d26dn0u2YwiOHTuGy5cvo23b\ntmjTpg0uX76MzMxMgwf/hYWFISMjA9nZ2SgpKUFCQgIiIyN1pvH398fOnTsBAPn5+Th//jzat28v\nVyqEEBmJ3PCInJuGyDmKnJs+su0heOWVV3Ds2DEEBQUBAP744w906tQJt2/fxtdff42BAwfqD8jR\nEXFxcRg4cCBUKhUmTZqEgIAAxMfHAwBiYmLw9ttvY+LEiQgODkZ5eTk+/vhjNG/evM6x2vouIXMQ\nOUeRc9MQNUdR86pM5BxFzk3DHnLUkK0haNu2LZYvX45OnToBANLT0/Huu+/i448/xogRI2psCABg\n8ODBGDx4sM59MTEx2v+3bNkSP//8s1njFbkTFDk3DZFzFDk3QojtkG3I4Pz589pmAAACAwNx7tw5\n+Pj4SDpwkBBiH0R+OxA5Nw2RcxQ5N31k20PQqVMnTJkyBVFRUWCMITExEYGBgfj777/h5OQk12Lr\nxJ52CRE+ibqNipoXEYc9baOy7SFYtWoVfHx8sGTJEnz++edo3749Vq9eDScnJ+zatUuuxdaZyJ2g\nQiH2Rs2Y+PUj/BL9tUfEIdsegsaNG+P111/H66+/Xu0xfecLIITYJ5EbHpFz0xA5R5Fz00e2huDC\nhQt4++23kZ6erj1joUKhwKVLl+RaZJ1Rl0tsnajbqKh5EXHY0zYq68WNXn75ZTg6OmL37t2YMGEC\nnn/+ebkWZzKRO0EaMuCbyLnZA9Ffe0QcsjUExcXFePzxx8EYg7e3N2JjY7Ft2za5FkcI4ZTIDY/I\nuWmInKPIuekj25BBw4YNoVKp4Ovri7i4OLRt2xb37t2Ta3EmoS6X2DpRt1FR8yLisKdtVLaG4PPP\nP8f9+/fxxRdf4N1338WdO3ewevVquRZnMpE7QRoy4JvIudkD0V97RByyDRlkZWXB1dUVXl5eWLVq\nFTZv3ozLly9LmjclJQX+/v7w8/PDwoUL9U6jVCoREhKCzp07672CISGEDyI3PCLnpiFyjiLnpo9s\nDcGHH34o6b6qVCoVpk6dipSUFKSnp2PdunU4e/aszjS3bt3CK6+8gp9//hmnT5/Gxo0bTYqVulxi\n60TdRkXNi4jDnrZRsw8ZbN++HcnJycjLy8Orr74K9s/aLCoqknSGwtTUVPj6+sLb2xsAEBUVhaSk\nJAQEBGinWbt2LUaOHKm9LLKUyyobInInSEMGfBM5N3sg+muPiMPsDUHbtm0RGhqKpKQkhIaGahuC\nJk2a4LPPPjM4f15eHry8vLS3PT09cfjwYZ1pMjIyUFpaioiICBQVFeH//u//MG7cOL3PFxsbq/1/\n1etGE0IIITxTKpVQKpVmeS6zNwTBwcEIDg7G888/X6drFki58FFpaSmOHz+O3377Dffv30evXr3w\nyCOPwM/Pr9q0lRuCmlCXS2ydqNso7d3hn8g58rB3teoX3blz59b5uczeEHTp0qXGxxQKBU6dOlXr\n/B4eHsjJydHezsnJ0Q4NaHh5eaFly5Zo1KgRGjVqhL59++LkyZN6GwKpaKPmF32oEFsm+muPiMPs\nDcHPP/9s0vxhYWHIyMhAdnY22rZti4SEBKxbt05nmmHDhmHq1KlQqVT4+++/cfjwYbz22msmLZcQ\nQgixZ2ZvCDQHAwJAfn4+UlNToVAo0KNHD7Ru3dpwQI6OiIuLw8CBA6FSqTBp0iQEBAQgPj4eABAT\nEwN/f38MGjQIQUFBcHBwQHR0NAIDA+scM3W5xNaJuo3S3h3+iZyj6HtXq5LtxESJiYl444030K9f\nPwDA1KlTsWjRIowePdrgvIMHD8bgwYN17ouJidG5XdOVFIl+Im/UIudG+Cfy9ilybvZItoZg/vz5\nOHLkiHavwPXr1zFgwABJDYE1iN7lik7kHEXOjRBiO2Q7MRFjDK1atdLebtGihfYniLbGRsMiREvU\nbZSGDPgnco40ZGAmgwYNwsCBAzF27FgwxpCQkFBtGIAQQgghtkG2hmDRokXYtGkT9u/fD4VCgZiY\nGDzzzDNyLc5k1OXyi75lElsm+muPiEO2hmDx4sWIiorCyJEj5VqE2dBGTWydqNsoNXP8EzlH0b9M\nVSXbMQRFRUV48skn8dhjjyEuLg75+flyLYoQQgghJpKtIYiNjcWZM2fw5Zdf4urVq+jbty8GDBgg\n1+JMRl0uv+hbJrFlor/2iDhkawg0WrdujYceeggtWrTA9evX5V5cndBGTWydqNsoNXP8EzlH0b9M\nVSVbQ/DVV18hPDwcAwYMQEFBAZYtW2bwOgaEEEIIsQ7ZGoKcnBwsWbIE6enpmDt3rlGnFk5JSYG/\nvz/8/PywcOHCGqc7cuQIHB0dsXnzZpPjpS6XX/Qtk9gy0V97RByy/crgww8/rNN8KpUKU6dOxc6d\nO+Hh4YHu3bsjMjISAQEB1aZ78803MWjQIJNPeEQbNbF1om6jouZFxGFP26jsxxAYKzU1Fb6+vvD2\n9oaTkxOioqKQlJRUbbqlS5di1KhROmdDJITwR+Q9ICLnpiFyjiLnpo9sewjqKi8vD15eXtrbnp6e\nOHz4cLVpkpKSsGvXLhw5cgSKWqoWGxur/X94eDjCw8P1Tidy4WnIgG8i52YPRH/tEetSKpVQKpVm\neS6bawhq+3DXmD59Oj766CMoFAowxmodMqjcENSENmpi60TdRkXNi4jD1rfRql90586dW+fnMntD\n4OLiUuOHukKhwJ07d2qd38PDAzk5OdrbOTk58PT01Jnm2LFjiIqKAgAUFBRg+/btcHJyQmRkpInR\nE0IsTeQ9ICLnpiFyjiLnpo/ZG4K7d+8CAN555x20bdsWL7zwAgDgxx9/xJUrVwzOHxYWhoyMDGRn\nZ6Nt27ZISEjAunXrdKa5dOmS9v8TJ07E0KFDTW4GRC48DRnwTeTc7IHorz0iDtmGDLZu3apz3oEp\nU6YgKCgI8+bNqz0gR0fExcVh4MCBUKlUmDRpEgICAhAfHw8AiImJMXustFETWyfqNipqXkQc9rSN\nytYQODs744cffsCYMWMAAOvXr4eLi4ukeQcPHlztUsk1NQIrV640LVBCiFWJvAdE5Nw0RM5R5Nz0\nke1nh2vXrkViYiLc3d3h7u6OxMRErF27Vq7FmUzkwoucm4bIOYqcGyHEdsi2h6Bdu3bYunWrXE9P\njCTybi+RcyP8E3n7FDk3eyRbQ1BcXIzly5cjPT0dDx480N6/YsUKuRZZZ7RRE1sn6jZKB4TyT+Qc\nRT8guyrZhgzGjRuH/Px8pKSkoF+/fsjJyZF8DIE1iL5Ri07kHEXOjRBiO2RrCC5evIh58+bBxcUF\nEyZMQHJycrUzDhLLEbnLFTk3wj+Rt0+Rc7NHsjUE9evXBwC4ubnhjz/+wK1bt3D9+nW5FmcS2qiJ\nrRN1G6UhA/6JnKO9DRnIdgxBdHQ0CgsLMX/+fERGRuLu3bsGz0FgTaJv1KITOUeRcyOE2A5ZGwIA\n6NevH7KysuRaDJFI5C5X5NwI/0TePkXOzR7JNmRw69YtzJgxA6GhoQgNDcXMmTNx+/ZtuRZnEtqo\nia0TdRulIQP+iZyjvQ0ZyNYQvPjii2jSpAk2bNiAxMREuLq6YuLEiZLnT0lJgb+/P/z8/LBw4cJq\nj//4448IDg5GUFAQHn30UZ3TJNeF6Bu16ETOUeTcCCG2Q7Yhg8zMTGzevFl7OzY2FsHBwZLmValU\nmDp1Knbu3AkPDw90794dkZGRCAgI0E7Tvn177N27F25ubkhJScFLL72EQ4cOmT0PUYjc5YqcG+Gf\nyNunyLnZI9n2EDRq1Aj79u3T3t6/fz8aN24sad7U1FT4+vrC29sbTk5OiIqKQlJSks40vXr1gpub\nGwCgZ8+eyM3NrXOstFETWyfqNipqXkQc9rSNyraH4JtvvsH48eO1xw00a9YMq1evljRvXl4evLy8\ntLc9PT1rPYfB8uXLMWTIEL2PxcbGav8fHh6O8PBwvdOJvFtW5Nw0RM5R5NwAsfMTOTcNkXPkITel\nUgmlUmmW55KtIejatStOnTqlbQjc3NywZMkSScMGCiOqsHv3bqxYsQIHDhzQ+3jlhsCeidzlipwb\n4Z/I26fIufGi6hfduXPn1vm5ZBsy0HBzc9Pu2l+8eLGkeTw8PJCTk6O9nZOTA09Pz2rTnTp1CtHR\n0di6dSuaNWtW5xhpoya2TtRtVNS8iDjsaRuVvSGoi7CwMGRkZCA7OxslJSVISEhAZGSkzjSXL1/G\niBEj8MMPP8DX19fkZfKwa6iuRM5NQ+QcRc4NEDs/kXPTEDlHkXPTR7YhA1M4OjoiLi4OAwcOhEql\nwqRJkxAQEID4+HgAQExMDN5//33cvHkTU6ZMAQA4OTkhNTXVmmHbNJG7XJFzI/wTefsUOTd7ZPaG\nwMXFpcZjAO7fvy/5eQYPHozBgwfr3BcTE6P9/7Jly7Bs2bK6BVkFbdTE1om6jYqaFxGHPW2jZm8I\n7t69a+6ntAiRdw2JnJuGyDmKnBsgdn4i56Yhco4i56aPTR5DQAghhBDLooYA9rFLSOQcRc5NQ9Qc\nRc2rMpFzFDk3DXvIUYMagn+IvGtI5Nw0RM5R5NwAsfMTOTcNkXMUOTd9qCEghBBCCDUEgH3sEhI5\nR5Fz0xA1R1HzqkzkHEXOTcMectSghoAQYlUi75YVOTcNkXMUOTd9qCH4h8iFFzk3DZFzFDk3Qojt\noIYA9rFLSOQcRc5NQ9QcRc2rMpFzFDk3DXvIUcMmG4KUlBT4+/vDz88PCxcu1DvNq6++Cj8/PwQH\nByMtLc3CERJCzEXkPSAi56Yhco4i56aPzTUEKpUKU6dORUpKCtLT07Fu3TqcPXtWZ5rk5GRcvHgR\nGRkZ+Pbbb7XXMzCFyIUXOTcNkXMUOTdCiO2wuYsbpaamwtfXF97e3gCAqKgoJCUlISAgQDvN1q1b\nMWHCBABAz549cevWLeTn58Pd3b3a8yUkGF7mmTNmCd2m/fmntHXBoytXrB2B/P73PyAz09pRmF9h\nobUjkF9hobivvdOngaAga0chryNHgKZNrR2FZdhcQ5CXlwcvLy/tbU9PTxw+fNjgNLm5uXobgnnz\nYrX/b9UqHK1bh+td7qhRpsVty4KDgYcfBjZvtnYk8ujYEQgMtHYU8omKUr8pnTxp7Ujk8e9/WzsC\n+Tz8MPDoo+K+9hwdgb59rR2FfAYOVDdztly/a9eUuH5daZbnsrmGoKYrJVbFqhzpUdN8p0/HmhqS\nzVIqlQgPDzc4nb8/sH69/PGYm9T8eGRMbq+/Lm8schC5doD0/Fq2BH74Qf54zI3qpzZihPrPtoX/\n86emUMyt8zPZ3DEEHh4eyMnJ0d7OycmBp6dnrdPk5ubCw8PDYjHaCqVSae0QZCVyfiLnBlB+vKP8\n7JPNNQRhYWHIyMhAdnY2SkpKkJCQgMjISJ1pIiMjsWbNGgDAoUOH0LRpU73DBYQQQgiRxuaGDBwd\nHREXF4eBAwdCpVJh0qRJCAgIQHx8PAAgJiYGQ4YMQXJyMnx9feHs7IyVK1daOWpCCCGEbwpWdTBe\nIFKPRyCEEEJEUdePdZvbQ2BOAvc6hBBCiFnZ3DEEhBBCCLE8aggIIYQQIkZDIPq1Dwzlp1Qq4ebm\nhpCQEISEhGD+/PlWiLJuXnzxRbi7u6NLly41TsNr7QzlxnPdAPVPgiMiItCpUyd07twZX3zxhd7p\neK2flPx4ruGDBw/Qs2dPdO3aFYGBgZg1a5be6Xisn5TceK6dhkqlQkhICIYOHar3caNrxzhXVlbG\nfHx8WFZWFispKWHBwcEsPT1dZ5pt27axwYMHM8YYO3ToEOvZs6c1Qq0TKfnt3r2bDR061EoRmmbv\n3r3s+PHjrHPnznof57l2hnLjuW6MMXb16lWWlpbGGGOsqKiIdejQQajXnpT8eK/hvXv3GGOMlZaW\nsp49e7J9+/bpPM5z/QzlxnvtGGNs8eLFbOzYsXrzqEvtuN9DUPnaB05OTtprH1RW07UPeCAlP4Df\nAyj79OmDZs2a1fg4z7UzlBvAb90A4KGHHkLXrl0BAC4uLggICMCVKheW4Ll+UvID+K5h48aNAQAl\nJSVQqVRo3ry5zuM8189QbgDftcvNzUVycjImT56sN4+61I77hkDfdQ3y8vIMTpObm2uxGE0hJT+F\nQoGDBw8iODgYQ4YMQXp6uqXDlA3PtTNEpLplZ2cjLS0NPXv21LlflPrVlB/vNSwvL0fXrl3h7u6O\niIgIBFa5KAjP9TOUG++1mzFjBhYtWgQHB/0f43WpHfcNgbmvfWBrpMTZrVs35OTk4OTJk5g2bRqG\nDx9ugcgsh9faGSJK3e7evYtRo0bh888/h4uLS7XHea9fbfnxXkMHBwecOHECubm52Lt3r95T+vJa\nP0O58Vy7X375Ba1bt0ZISEitezmMrR33DYHo1z6Qkp+rq6t299jgwYNRWlqKQkGuK8tz7QwRoW6l\npaUYOXIkXnjhBb1vqLzXz1B+ItQQANzc3PDUU0/h6NGjOvfzXj+g5tx4rt3BgwexdetWtGvXDmPG\njMGuXbswfvx4nWnqUjvuGwLRr30gJb/8/HxtJ5iamgrGmN7xMh7xXDtDeK8bYwyTJk1CYGAgpk+f\nrncanusnJT+ea1hQUIBbt24BAIqLi7Fjxw6EhIToTMNr/aTkxnPtFixYgJycHGRlZWH9+vXo37+/\ntg+0XzQAACAASURBVE4adakd92cqFP3aB1Ly27hxI77++ms4OjqicePGWM/RtY7HjBmDPXv2oKCg\nAF5eXpg7dy5KS0sB8F87Q7nxXDcAOHDgAH744QcEBQVp32wXLFiAy5cvA+C/flLy47mGV69exYQJ\nE1BeXo7y8nKMGzcOAwYMEOK9U0puPNeuKs1QgKm1E/paBoQQQgiRhvshA0IIIYSYjhoCQgghhFBD\nQAghhBBqCAghhBACaggIIYQQAmoICCGEEAIBzkNQG15OsUkIIYSYS13PJiD8HgLGmLB/c+bMsXoM\nlB/lRvmJ90f58ftnCuEbAkIIIYQYRg0BIYQQQqgh4Fl4eLik6Y4eBTZulDcWOUjNj0dSc2MMmD0b\nuHJF3njMTeTaAdLzy8gAFi+WNxY5UP3UVq8GTpyQNxZbIvS1DBQKBebMmYPY2FgAsMt/y8qADRti\n8ddfwMSJsWja1Dbion+l/XviBPDrr7F46imgc2frx0P/Sv93zpxYrFoF5OfHYts2YN8+24iL/pX2\n73/+E4tly4COHWNx/DjwwQe2EZehf+fOnVvnYwmEbwgETk+S2Fjgjz+AsDBg3z5g2zaAfnzBh4IC\noFMnYPNm4N//Bj77DHj6aWtHRaRasQL45hv1Hp7XX1e/Dhs2tHZURIrycqBvX2DsWODnn4HwcODN\nN60dlTSmfO5RQyCw8+eBxx4D0tKA1q2Bbt2AOXOA0aOtHRmRYuJEoGlTdSPw22/ApEnAmTOAs7O1\nI6vd2bNn8dVXX2Hp0qXWDsVqrl8HOncGfv0V6NoVGDlS3dy9/761IyNSfPcdsHw5cPAg8OefQPfu\nwJEjQLt21o7MMGoIamDPDQFjQP/+wDPPAK++qr7vwAHg2WeB9HTAzc268ZHaKZXA+PHqBsDVVX3f\nuHHAQw8BixZZNTSDnnnmGWzZsgWZmZlo3769tcOxigkTgFatgE8+Ud/Oy1M3Bvv2Af7+1o2N1C4/\nH+jSBdixAwgOVt/30UfAnj1AcrLt72GlhqAG9twQrF4NLF0KHD4M1KtXcf9LLwH16wNxcdaLjdTu\n77+BoCBg4UJg+PCK+69dU3/rrPxGZWtycnLQuXNnNG7cGEOGDMHy5cutHZLF7dql3rtz5gzg4lJx\n/xdfAJs2qZs9W/9QsWcvvAC0bQt8/HHFfaWl6j2s776r/lJly6ghqIG9NgQFBeoPjuRk9UZcWWGh\netflli1Az57WiY/Ubu5c9TDPli3VH1u+XL0788AB3UbPVvznP//B7du3kZmZiYyMDBw5csSu9hI8\neKBu5hYvBoYO1X1MpVK/5l55Rd0wENuzYwcQHa1/aO7gQfVwq63vYTXlc8+qPztMSUmBv78//Pz8\nsHDhwmqPnzt3Dr169ULDhg2xuMpvdwzNa8/++19gzJjqzQAANG+ufrOKiQHKyiwfG6ndhQvqPTs1\nDb9PnAg4OQHx8ZaNS4r8/HwkJCQgKioKTk5OeOWVV7DI1sc3zOzDD9W7m6s2A4C6gfv2W+Ctt9RN\nO7EtxcXAlCnqvaf6jtPp3Vt9UO/bb1s+NothVlJWVsZ8fHxYVlYWKykpYcHBwSw9PV1nmmvXrrEj\nR46w2bNns08++cSoeRljzIrpWc3u3Yx5eTF2507N05SXM/b444xVWqXEBpSXMxYRwdinn9Y+3Zkz\njLVsyVhenmXikurevXvswIEDbO/evezRRx9ld+/eZb///ru1w7KYs2fVdcnNrX266dMZmzDBIiER\nI7zzDmOjRtU+TWEhYw89xNihQ5aJqS5M+dyz2h6C1NRU+Pr6wtvbG05OToiKikJSUpLONK1atUJY\nWBicnJyMntce/f038PLL6rFKzYFo+igUwNdfq7/N/Pmn5eIjtfv+e+DWLWDatNqnCwxU7+GZMcMy\ncUnVuHFj9O7dG87Ozrh37x6cnZ3xyCOPWDssi2BM/dp7913Aw6P2ad9/X32cwe7dlomNGJaern5P\n/Pzz2qdr1kzsPayO1lpwXl4evLy8tLc9PT1x+PBhs8+rOVkDoD47lchn4Pr4Y/URzJUPRKuJr6/6\nA2XqVGDrVjrIydpu3FAP9fzyC+Ao4VU5e7Z613RyMjBkiPzxGcPd3R25ubkoLy+Hg4N9nAx19Wrg\n7l318QGGuLqqh4Refhk4dQpo0ED++EjNysvVH/CxseqDCQ0ZMwZYuVLdPMycKXt4BimVSiiVSrM8\nl8G3nv379+Oxxx7Tue/AgQN49NFHTVqwKZcmNmbeyg2ByC5cUG+gaWnS53njDfVPoX76CRgxQr7Y\niGH//a/66OWwMGnTN2oEfPWV+o3szBmgcWN54zOGh4cH3N3dcfjwYfTq1cva4ciuoEB9XEBysvQD\nPYcNU3+ofPSR+twgxHpWrlTvXZ0yRdr0mj2sjzwCjBoFPPywvPEZUvWL7ty5c+v8XAbb92l69l9O\nnTq1zgvU8PDwQE5OjvZ2Tk4OPD09ZZ9XRIypN+bZs4FKO04Mql9ffSa1V18F7tyRLz5Su7171Sew\nmT/fuPmefFJ9oJMtnuxm+PDh+Omnn6wdhkW88UbNB/HWRnPw6Pnz8sRFDLt2DZg1S32wpzG/2vH1\nBaZPVw/vifRDthr3EPz+++84ePAgrl+/jk8//VT7M4aioiKUl5ebvOCwsDBkZGQgOzsbbdu2RUJC\nAtatW6d3WlZljRszrz348Ufg5k3DY8/69O0LDBoEvPOO+tgDYll//63+lv/FF0CTJsbP/+mn6qGD\n559X/2srXnjhBfTp0wdRUVHoZuwnJUeUSvVZJM+cMX5eLy91Ez9livo5aNjO8l5/XX3Cr65djZ/3\njTeAkBD1z4Ofecb8sVlDjXsISkpKUFRUBJVKhaKiIty9exd3795FkyZNsNEMl85zdHREXFwcBg4c\niMDAQDz33HMICAhAfHw84v/5TdVff/0FLy8vfPbZZ5g/fz7+9a9/4e7duzXOa49u3FBvmN9+K23s\nWZ+FC4HERPWpOYllLVoE+PnV/Q3F3V29ZyEmRj0Waiv8/f3xzTffIDIyEpmZmdYORxaag3iXLq39\nIN7aTJumPpD0++/NGxsx7Lff1GcfrOse9gYNKvawFhWZNzZrMXhiouzsbHh7e1soHPOyhxMTTZ6s\nHj829dv999+rz5mfmlr3xoIYJyMD6NULOHbMtHHI8nKgTx/1qY5jYswXnzl88803mD17NkaMGIG3\n3noLPj4+1g7JbN5/Hzh+XP8JpIxx9Kj69+1nzgAtWpgnNlK72k4gZaxJk9QN4ZIl5onNVLKeqfD8\n+fP45JNPkJ2djbJ/fmehUCiwa9euOi3QkkRvCPbtU1+N68yZuu1urowx4PHH1W9MtvZzNhExpj4G\nYNAg8xypfPq0+toVp06pr3dgS27cuIHPP/8cX375JVq2bIlu3bqhQ4cO8PPzg5+fHzp06IBmzZpZ\nO0yjXLigPn4jLc2443Zq8uqrwL176jNREvnNmaO++uTmzaY/140b6rO/btsGhIaa/nymkrUhCAoK\nwpQpU9CtWzfU++eoC4VCgVBbyNwAkRuCkhL1uNf8+eb7hYC53+RIzX78UT1ccPSo+fbIzJqlPq/E\n2rXmeT5zKysrQ3p6Ok6cOIGMjAxkZGTgwoULyMjIQIMGDbTNQeVGwc/PDy6VLwhgAzTN89Ch6gPL\nzOHOHfX5JdauVR/XQ+Rz7pz6KrAnTgDmOhZ9zRr1r7wOH7b+HlZZG4LQ0FAcO3asTk9ubSI3BB98\noN74kpLMezCSuXaDkppprieRlAT06GG+571/X30Ni6+/BgYONN/zyo0xhvz8fJ0GQfP/zMxMuLm5\n6W0UfHx80KhRI4vHK9fw2ubN6oMMT5ygcxPIhTEgIkL9JUpzFVhzPe+AAeqfk/7f/5nveetC1oYg\nNjYWrVq1wogRI9Cg0lbavHnzOi3QkkRtCC5eVP8G1tSxZ33+/lt9Jb2PPpJ2giNiPDmvOJmSoj45\nzunT6nMV8K68vBx5eXk6jYKmWcjOzoa7u3u1RsHPzw/t2rVD/fr1zR6PZvfwL79IP2eEVIwBkZHq\nCyC98455n5uorVqlft1VvQqsOZw/r97zkJZmvj0PdSFrQ+Dt7a33REBZWVl1WqAlidgQMKb+9jdw\noHxnyVIq1QeonTlT96OniX779wNRUep1K9cV06KiAB8f9V4kkZWVleHy5ct6m4W8vDx4enrqHYb4\n17/+pR3+BIBLly7h1KlTKJJwqPiyZUDDhupL5MqhoAB47z31X9VjQVq2bInQ0FC0bt1anoULrqBA\n3cwlJ8s31h8bqz6OxxzHJtQVXf64BiI2BGvXqk9RbM6xZ30mTgSaNlXvGiXmUVKi/t1ybKz6Mqpy\nuXpVfQS1Uql+A7RHJSUlyMrKqjYEkZGRgevXr2Py5MlYunQpNm3ahJdeeglhYWFoYuDIXJVKfXR6\n48bynjOgpES9rMp7eBhjKCgowLlz57Bjxw50saWTTnDi3/9WX4tAzve0Bw/Ue1gXLVLv7bEGWRuC\ne/fu4dNPP8Xly5fx3XffISMjA+fPn8fTTz9dpwVakmgNwc2b6gOPzD32rI+mm96+3fgzsBH9FiwA\nDhxQ726W+yQ0X3+tPnBx717ATi4nIFlxcTHKyspw4sQJjBo1Ct9//z03H7BJSUmIjY3FiRMn8JCt\n/ZzEhllyr+fu3erm48wZwBrHw5ryuWfwrWLixImoX78+Dh48CABo27YtZs+eXaeFEdO89RYwcqT8\nzQAAtGypPmHRSy+pv60Q02Rmqs8q+OWXljkjneZqbCtWyL8s3jRq1Aiurq5ISUnBuHHjuGkGAGDY\nsGEICgqSfCE4ons2UEsMgUZEAOHh6j2BvDHYEGRmZuLNN9/UHqDj7OxstoWnpKTA398ffn5+WLhw\nod5pXn31Vfj5+SE4OBhpla7c4+3tjaCgIISEhKCHJT4hrezAAfXvXC05LjxhgrrD/fJLyy1TRIwB\n//mP+gJGljrHl4OD+uyVb78N5OdbZpm8uXbtGpfj8a1bt0Y+FVWyjz4CAgIse5D0J5+of41y4oTl\nlmkOBhuCBg0aoLi4WHs7MzNT59cGdaVSqTB16lSkpKQgPT0d69atw9mzZ3WmSU5OxsWLF/+/vXOP\nizFv//hnUnZXrM0pKjYrxwc5xyobkWqfnK0cY7HhcVy76IdV7FqnnJfYtWGdlsWKDVFCKTmt0Gsf\n7FPbdLK7FElU0/f3x6XZpmaameZwzz1936+XV2bmPlzfvs19X/d1Xd/PhQcPHmDnzp2YXqYdlUQi\nQUxMDG7duoXExESd7TFlCgvJw92wwXCFaMqQSEiac/lyID3deOc1Nw4dory+sQWfOnak0KUptGg1\nVcoXTF+4cAFubm7o3bs3vlHiCT98+BC+vr5o3rw5QkND5e9nZGRgxIgRcHd3R9++fbFLicJQaGgo\n7O3tkZOTA4DqHObNmwcPDw8MGDAA8fHx8m2HDx8ONzc3eHp6wtPTE0+ePFFpM0c19+//00TKmDRs\nCHz9NV23xRRhVesQBAUFwcvLC+np6RgzZgz69eun8mleGxITE+Hk5ARHR0dYWVnBz88PJ06cUNgm\nPDwc/v7+AAAXFxfk5uYqeMbmVB9QGSEhtLxwxAjjn7tNG1rGJvTaWrGSk0M35B07ACsr459/2TKK\nLp0/b/xziw2ZTIbFixfjwIEDiImJwc8//4wHDx4obGNjY4Mvv/wS06ZNU3jfysoKQUFBiImJwalT\np7B7926FfTMyMnDp0iWFrqz79++HRCJBVFQUDh06pNC2ViKRYNu2bYiMjERkZKQolnmbGoxRrwlt\nu8Dqi0mT/ul3IBYqdQhKSkqQk5ODo0ePIiwsDGPGjMH169fRt29fnU+ckZGBpmVmycHBARkZGRpv\nI5FI0L9/f3Tr1g3ffvutzvaYKv/7HzkExso9KyMwkGQ+w8OFOb+YCQykUGWvXsKc39qa1l1Pnw6U\nCfRxlHDr1i04OjqiadOmsLKywuDBg3H27FmFberXrw9nZ2dYllvi06hRI7Rv3x4ApVWdnJyQnZ0t\n/zw4OBhLyokLPHz4EL1795Yft27durh9+7b88+rywGMofviBGkdVpQusPiiNsAYFAZmZwtigLZUu\nXLOwsMCaNWswatQova8q0DTspepLERsbCzs7O/z1118YMGAA2rRpAzc3twrbBZWp7HB3d4e7u3tV\nzBUEIXLPynjzTfrDnjSJ9PJNTEnWZLlyhZyo5GRh7fjwQxJkWbkSWLFCWFtMmezsbNjZ2clfN2nS\nBDdv3tT6OFKpFHfv3pW3fT579iyaNGmCdu3aKWzXrl07REZGYsiQIcjIyEBSUhIyMzPh7OwMAJgz\nZw6srKzg4+ODufrSSK4mPH5M181Tp4SVEm7XjtIGc+dSR1lDEBMTg5iYGL0cS+2vasCAAVi3bh1G\njRqlUFCoawjL3t4eUqlU/loqlSqE05Rtk56eDnt7ewCQf3EbNmyIoUOHIjExUa1DIDZ+/JE8S1No\nNtSvH/DBB+TtrlsntDWmT1HRP3Uf77wjtDWks+7sTM2wqmmncLXoIzefn5+PqVOnYsWKFbC2tkZB\nQQE2b96MQ4cOybcpfcjx8/PDgwcP4O3tDXt7e3Tr1g0Wr9eIbt26FY0bN0Z+fj6mTJmCn376CSOE\nyBmKlAULgI8+0r+aZFVYvBjo0IEEkXx89H/88g+6wVXt5wwNaggOHTqEb775Bn369EHXrl3RtWtX\ndNPDb7lbt2548OABUlNTUVhYiB9//BGDyik5DBo0CHv37gUAJCQk4J133oGtrS1evHghVxXLz89H\nZGSkqJYOaUJuLvDpp8LlnpUREkJhuDKLPTgqWL+e5Es/+khoSwg7O6onmDaNIk+cijRu3BiZZWK7\nmZmZChEDdRQVFWHKlCkYPnw4vLy8AFD7eKlUiv79+8PFxQVZWVnw8vLC33//jRo1aiAoKAiRkZEI\nCwvDs2fP5O2hSzUGrK2tMXToUIUVVpzKuXQJOHuWGr+ZAm+9Rbog//kP9RsxZSqNEJSUlGD16tUY\nNWqU/k9saYmtW7di4MCBkMlkmDx5Mtq2bYsdO3YAAAICAuDj44OIiAg4OTnB2toaYWFhACi0N+x1\ni7/i4mKMHTsWnp6eerdRSAIDqVGGULlnZTRsSGHngAAgPl7/WuDmQkoKKZUlJgpX96GM6dOpK9vu\n3ZT+4Sji7OyMlJQUSKVS2NraIjw8HNu2bdNoX8YY5s+fj1atWmHq1Kny99u2bYukpCT5axcXF5w5\ncwY2NjYoKCgAYwy1atXCpUuXYGlpCScnJ8hkMjx9+hT16tVDUVERzp07hw8++KDMufQ3ZnOjrOaA\nri3h9cmAAdRJdvlyWgZpqvBuhyZIfDwJECUnm0a4uSwlJSS6MWoUebwcRRijsOAHH5CQlKnx66/U\nB+PuXXLwqjPz5s1D7dq1MWPGDPl70dHRWLZsGWQyGUaPHo1Zs2bhhx9+AACMHz8ef/75J3x8fJCX\nlwcLCwtYW1vj4sWLuHfvHoYOHYp27drJUw+BgYEVCrB79uyJ06dPw8bGBlKpFGPGjIGFhQWaNGmC\nkJAQ2Nvb48WLFxg2bBiKi4shk8nQp08fBAUFyY87ceI0TJzoh9GjRxvpNyUevvySGheFh5uWMw6Q\nHkiHDkBUFP00FAaVLl60aBEaNGig9xoCYyBGh6CoiBpvLF5MN11TJDmZbni3b1MomvMPhw9T4d7N\nm6aT6inP/PkkTb1nj9CWCMsPP/yAtWvX4siRI2r7GJgKDx8+hI/PcISGXsDYsdW0UYUKHjygiKoh\nusDqi507KUIXG2s4SXHe7VAFYnQI1qwhLeyICNPzcMuyZAm1+zxyRGhLTIfcXOr/cOQIhQdNlefP\nyc7du0lmtbrCGMOsWbNw+fJljBw5EnWNqfqlJYwx/PnnnwgLC4Ov7wrExX1s0k6nsWGMwvLe3qYt\nxFVSAri5UV+FgADDnIN3O1SB2ByClBSge3fKPb/3ntDWVE5BAYW9Nm2iZW0cSqEUF1MhqKlz8iTw\n2WcU5XnzTaGtEQ7GGMLCwhAXdw0nTuShRw/AVIOfDRs2hKenJ7y8vOHtTc7cwoVCW2Ua7N9PdTuG\n7gKrD+7cATw8qE2yIfpTGdQh2LNnj9IIwYQJE6p0QmMiJoeAMbqx9uljmrlnZZw7R82P7t4lAZzq\nTEICMGwYdTizsRHaGs0YNozkjUW8MldvTJtGIVwNawgF53//oyZn164BzZsLbY2wPHlCES9jdIHV\nF4sWAWlp1M5e3xjUIZg5c6bcISgoKEB0dDS6dOmCn376qUonNCZicgiOHKEKVLGFAceOpeV1elCz\nFi1FRbTeedEiQEx1XunpQOfOlM9s3Vpoa4TjyhVg5Ehy5kytiLcyvv4auHyZmp6ZcnrR0EydShLB\nW7cKbYnmvHgBtG9Pgm/6XiBn1JRBbm4uRo0aVUHS0xQRi0Pw9CkpWpl67lkZpZWz58/T02Z1ZO1a\nipacPSu+C/PmzcDx40B0tPhs1wdFRUCXLlQTY6pFvKooLCTbly0jh6Y6EhsL+PmRM2fCJSBKOX2a\nZJXv3CGtAn2hy31P6zrHWrVqiaKgUEz83/8B//63+JwBALC1pZbMAQFUMFPdSE2l6Mj27eK8of7n\nP0BeHukTVEdMTUBKG2rWpHqVuXPpoaK6IVQXWH3h7U0ryozZ0l4daiMEvr6+8v+XlJQgOTkZH330\nkV46HhoaMUQIrl4Fhg4VV+65PCUlVPswbhzlYqsLjJEj17s3OXVi5cYNql+5exdo0EBoa4xHaRGv\n2PPwn3xCaUYl3ZrNmpUrqZPnqVPidMYBaovesSNw8SJFifWBQVMGZZsmWFpa4t1331XoQGjKmLpD\nUJp7XriQNObFzN27VPWclAQ0aSK0Ncbhp58oXHvrFj2tiZl58+gp8/vvhbbEOJi6gJQ2lBbV/fwz\n4OIitDXG4fffaazXrwvb+E0fbNsGHDxIToE+tAkMmjJo1qwZXFxc4O7uDldXVzRo0ACpqalVOll5\nzpw5gzZt2qBly5YqIw6zZ89Gy5Yt4ezsrKDnrcm+ps6mTRRyF1Mhmirat6fiHlNoxGQMnj6lUG1o\nqPidAYAKWs+fp4tSdeDIESqqNOU165pSrx41HPvkE3rIMHdMpQusvggIoPTHa2V+YWFq6NKlC3v1\n6pX89cuXL1nXrl3V7aaW4uJi1qJFC5aSksIKCwuZs7MzS05OVtjml19+Yd7e3owxxhISEpiLi4vG\n+zLGmAbDE4zUVMbq12fs4UOhLdEf+fmMvfceY6dPC22J4Zk5k7EpU4S2Qr8cP85YmzaMvXwptCWG\nJSeHMTs7xuLihLZEf5SUMNa/P2Nr1wptieE5cICxDh0YKywU2hL9cesWYw0bMvboke7H0uW+pzZC\nIJPJULPMI9Abb7yBIj24oYmJiXBycoKjoyOsrKzg5+eHEydOKGwTHh4Of39/ANQUJDc3F9nZ2Rrt\na8owRsVc8+YBr5ubmQW1alEec8YM0+/qpQuJifSEKdLAlEqGDAFatSK1THNm8WLA11ecRbyqkEio\nsHXVKuCPP4S2xnDk5FBUx5S6wOqDTp1IvfCzz4S1Q61D0KBBA4Wb7YkTJ9BAD5VHGRkZCrUIDg4O\nyMjI0GibzMxMtfuaMseOkbDI558LbYn+8fKi3N6KFUJbYhiKiynEt26d6Sra6cKWLZTKevBAaEsM\nQ0ICLbP8+muhLdE/Tk6UxvrPf8y3I6IpdoHVF0FBlLKLjhbOBrUij6GhoRg7dixmzpwJgG6+pd2/\ndEGZ+qEymI5/2UFlZNjc3d3h7u6u0/F05dkzYM4cKiIxh9yzMjZsIG2CsWOptsCc2LwZqF+fxmaO\nNGtGT9DTp5O2glirt5VRVETOXEiIeFf0qOPzz0ls6tgx6phqTly5Ql0Mk5OFtsQw1K5N4krTplFx\ntqaS4jExMQrF/7qg1iFwcnLC1atXkZeXBwCoU6eOXk5sb28PqVQqfy2VSuHg4FDpNunp6XBwcEBR\nUZHafUsJMjFd1iVL6CnazU1oSwxH48YUIQgIICU1Q3X1MjZpabTUKT7evG6U5Zk1i3QJ9u+npaTm\nwsaN9Lfp56f4fnR0NG7cuCG/xokBiUQCe3t7/Pvf/4ZdmZajb7xBha5jxlCzH5E0cVRLqTO3YYO4\n1CS1xdeXigtXrdJcUrz8g25wcHCVzy9Yc6Pi4mK0bt0aUVFRsLOzQ48ePXDw4EG0bdtWvk1ERAS2\nbt2KiIgIJCQkYO7cuUhISNBoX8D0lh1eu0YTnpxsnuHmspSU0Pr8SZOo+lnsMEahyu7dgaVLhbbG\n8Fy7BgwaRPoY5vC3mppKS3yvXlWs2wkJCcGmTZvg7e0tmhbIAGnCpKSk4MaNG7h48SIcy5XbT55M\n/UU2bxbGPn2zejUQE2P6XWD1QXo61RTExVVNUlyX+55gfaEsLS2xdetWDBw4EDKZDJMnT0bbtm2x\n43WruICAAPj4+CAiIgJOTk6wtrZG2Ot1Gar2NWWKi+nGaK655/JYWFDhT//+dCO1tRXaIt34+WfK\nq1eXds/du5Mc7sKFwLffCm2NbpQW8X76qaIzEB4ejq1bt+LYsWOwt7cXzkAdCAsLg4eHBx4+fKiQ\nhl2zhrQJxo+nuRQz//sfyYMnJpq/MwCQcubSpZQ6MLakOG9/bCQ2bKAmJOaWl1XHwoXk8e7fL7Ql\nVScvj1TE9u8nRcbqwrNnNO6DB8Wd4lIlILVgwQJYWVnJ66PESseOHZGUlIQm5RTBfviBrjuJiabf\nElgV5iQgpQ0yGRVnz5oFvF5opzEGFSbKz8/HihUrMHXqVADAgwcPcOrUqSqdrLqSlkZ61WLVu9eF\nL76gYqDISKEtqTpLl1I+tjo5AwDlnzdtoieVwkKhrakapQJSO3ZULOLNycnBO2aQkK5Xrx5ycnIq\nvD9uHBVPbtkigFF6wpwEpLShRg36m124EPj7b+OdV61DMGnSJNSsWRNXrlwBANjZ2WHx4sUGPjnL\n9wAAHJlJREFUN8xcYAyYOZNWFrRsKbQ1xsfa+h9tgoICoa3RnuvXgUOHKGRZHRk2DHjvPUp1iZEl\nS6iJjKtrVfZdgt69e6N///64c+eO0m2+//57vP/++7C3t1e4KR87dgz9+/eHh4cHBg8ejORypfEy\nmQyenp5ynRUAuHfvHnx9feHh4YGJEyfi+fPnAKho+r333oOnpyc8PT0RGBiocCxVK7ZKtQm++ooe\nSsRGbi5ptZib5oCmdO1KBbALFhjvnGodgt9//x0LFy6UixNZW1sb3ChzojT3bMxJNTV8fKhNqyl1\n9dKEUs2BNWtoqWF1RCKhpVDr15N+vJhITKR0QVUEpKKiopCamoq4uDisWbOmwk24lB49euDw4cMV\nVjk1a9YMx44dQ1RUFObOnYsF5S4A3333HVq2bKlwM//ss8+wZMkSREVFwcvLC9u3b5d/5ujoiMjI\nSERGRuJrLUQUWrUCZs+mf2JDzF1g9cWKFZRmNpakuFqH4I033kBBmUe733//HW+88YZBjTIX8vLo\nixgaSsuBqjMbN5KnL6Y1xFu3UlvV8eOFtkRY3n2X8rczZohH8KbUmVu7tmpFvJGRkRg5ciQAoEuX\nLnj69Cn++uuvCtu1b99e6ZLnbt26yVctdO7cGVlZWfLPMjMzER0djTFjxijkelNSUuDyujuRm5sb\nfvnlF+0NV8LChcBvv9HDiVhISCB7V60S2hJhqVOHVopMmwa8emX486l1CIKCguDl5YX09HSMGTMG\n/fr1E20zIWNTmnv+4AOhLREeOztaVxsQQEsSTR2pFPjyy+pZ96GMOXOAR48ofSIGdBWQys7OVljf\nb2dnp3BT14aDBw+iX79+8tdBQUFYsmQJLMoJdLRu3Rpnz54FAJw6dQqZmZnyz9LS0uDp6Ynhw4cj\nMTFRq/OXahPMmkUPKaZOqebAunXmKyClDUOGULrZGGlLtQ6Bp6cnjh49irCwMIwZMwY3btxA3759\nDW+ZyLlxo3rnnpVRWpxmEl291DB7Nl1Aq7IO2ByxsqIIz/z5pCdvypQKSOnqzJWv1NZUXbUscXFx\nOHTokLzu6ty5c2jQoAE6dOhQ4fghISHYvXs3vLy8kJ+fD6vXiXNbW1tcv34dkZGRCAoKwowZM+T1\nBZri7k5LgL/4QushGJ2NG82nC6w+KE3bbdxoeElxlYtRbty4ofAFKF3SkpaWhrS0NHTp0sWwlomY\nUs2B1aurb+5ZGaWVs56eJNDUqJHQFinnxAlKbYjladhYuLgAQ4eSnnxoqNDWKKe0iHfuXO2LeHfv\n3o0DBw4AAJydnRWe0DMzM9G4cWOtjpecnIzPP/8c+/fvl69mKL2xR0VF4dWrV8jLy8Ps2bOxefNm\nODk54eDBgwAoNRsVFQUAqFmzpryGq0OHDnB0dERKSgo6dOiglT1r15I2wbhxVLBmiqSm0nXz6lUe\nmStLs2b0vZsxg1ZsGep3o9IhmD9/fqUe8YULFwxikDnwzTe0ZGvCBKEtMT3KdvXau1doayqSl0eR\ngT17eN2HMlauJG2CCRNMs9hLWwGpsk/pEydOxMSJEwFQUWFYWBiGDBmCGzduoG7dumjYsKHGx8rI\nyMCUKVOwZcsWNG/eXP5+YGCgvEAxPj4eoaGh2PxaTvDx48eoX78+SkpKsGnTJkx4fQF58uQJ6tat\nixo1auCPP/5ASkoKmjVrpvS8ldGgAd1sAwLohlujhka7GQ1VAlIcYs4c0pY4cMBwvVRUOgT6apZQ\n3ZBKqTI0Lo57uKoICqInlagowMNDaGsUWbYM6NcP4Fkx5dStS2I3AQHAzZumtRzs2TNK9ezfr5kz\nZ2Njg9zcXKWfeXh4IDo6Gu+//z5q1aqFDRs2yD8bP348QkJC0KhRI+zatQvbt2/HX3/9JV9muHbt\nWqxfvx5Pnz6V3/wtLS0RERFR4TxlH7p+/vln7N69GwDg4+ODUaNGAQASEhKwdu1aWFlZQSKRYPXq\n1ahbt658v8ePH6OehpWT/v7A7t300GJqKw+OHqUIwfHjQltimlhaAjt3kvKrt7dhFG/VKhUWFBRg\n27ZtiI2NhUQigZubG6ZPn443NW3FpIQnT55g1KhR+OOPP+Do6IjDhw8rFQg5c+YM5s6dC5lMhilT\npmDhwoUAqCjnu+++k3vsX3/9Nby8vCoOTgClwqFDAWdnzRtTVFdOnaInAW26ehmamzfpi3bvHj1N\ncZTDGPDhh1Qs+/oraRLMmQM8fw7s2qXZ9idPnsSsWbNw5MgRlc3RTJ3vvvsOe/fuxf379zWucfjt\nN9Jl+PVXksk1BZ4+pcjToUPiVsU0BjNnUi3Wzp3KP9flvqfWIRg5ciTefvttjBs3DowxHDhwAE+f\nPsURHUTdFyxYgAYNGmDBggVYvXo1cnJysKrc+hKZTIbWrVvj/PnzsLe3R/fu3eUNjIKDg1GnTh18\n+umnlQ/OyA7BiROkN3D7tunc5EyZ4cOpPbIOzbn0hkwG9OxJObpJk4S2xvRJSSGN/GvXgDIRccG4\nfp3WrN+7p13dzsaNG7Fu3ToMHDhQ4anb1JHJZEhNTUVSUhJiYmLw7rvvarX/smXA3bv0VG4KzJoF\nvHwp/r4ZxqDUeTp8mBrIlcegDkG7du0qqGwpe08b2rRpg4sXL8LW1hbZ2dlwd3fHb7/9prBNfHw8\ngoODcebMGQCQOwyLFi1CcHAwateujflq9CyN6RDk5VEYfM8eHm7WlIwMqim4fBlo00ZYW7ZsIRGb\nmBie6tEUU+lAV1xMBY9z5lStbufSpUsq2x8XFxcjMzMTUqkUbdu21Tg0b2gkEgkcHBzg7e2tdbEj\nQDffjh1pad+gQQYwUAsSE8mG6tAFVl8cOUIPUjdvVpTkNmi3wy5duiA+Ph69evUCQPmsrjqWqD56\n9Ai2r9vf2dra4tGjRxW2ycjIQNOmTeWvHRwccPXqVfnrLVu2YO/evejWrRtCQkJUapIHlYndl+8b\nrU+WLSNHgDsDmmNv/09XrwsXhLupZGTQlys2ljsD2vDpp8C+fXRx+ugj4ezQVUCqT58+6PO6UUVO\nTg6uXLmC2NhYxMbG4tatW2jTpg1cXV3x2WefiTa1UJ4336RlmR9/TDUztWsLY0epgFR16QKrL0aM\noOXb69cDPXvG6K3mT22EoE2bNrh//z6aNm0KiUSCtLQ0tG7dGpaWlpBIJEhKSlK634ABA5CdnV3h\n/a+++gr+/v4Kut/16tXDkydPFLY7evQozpw5g29fx5D27duHq1evYsuWLfjzzz/l9QNLly5FVlYW\ndilJHBorQnDrFuDlRSE4NYXInHKUdvWaORN4XeBtdEaMoBDc8uXCnF/MxMfT7+/ePUCIPkFSKdC5\nc9V7x6elpclv/pcvX0ZqaipcXFzg6uoKV1dXuLi4oE6dOvo33ESYMIGW/wrVq2L9eoowVbcusPqg\nNG2XmEj9RkoxaISgNGRfWrCi6YnOnTun8rPSVEHjxo2RlZWFRkoWpNvb20MqlcpfS6VSuXdedvsp\nU6bA19dXI5sMgUxGmgOrVnFnoCrUqEHFMd7elAM2djHfyZNU87Fvn3HPay706kWaEosXU+W6sdFG\nQKqkpAT37t3D5cuX5U7Aq1ev5Df/SZMmoVOnTnJBoOrAunVUxzN2LDlWxuSPP2gZa3w8dwaqQvPm\nwOefU93T6dP6+R2qjRAAJFIUGxsLCwsL9O7dW2dRogULFqB+/fpYuHAhVq1ahdzc3ApFhcXFxWjd\nujWioqJgZ2eHHj16yIsKs7Ky5EJJGzZswLVr1+SCIgqDM0KEgOee9cO8eaSA93rVlVHIz6e6j127\nTG/5o5jIyaHf47FjVJhpLEqLeJOSlC8zfPnyJa5duya/+V+5cgUNGzaEq6sr3Nzc4OrqCicnpyop\nEJoTu3aRYFh8vPG0CRij5XPdu1PakFM1ioqocdySJcDrVaq63feYGoKDg1n79u3ZF198wZYuXco6\nduzIli9frm63Snn8+DHz8PBgLVu2ZAMGDGA5OTmMMcYyMjKYj4+PfLuIiAjWqlUr1qJFC7Zy5Ur5\n++PHj2cdOnRgHTt2ZIMHD2bZ2dlKz6PB8HQiPZ2x+vUZS0426GmqBc+eMda0KWMXLhjvnJ99xtj4\n8cY7nzlz4ABjHTsyVlhonPMp+3t5/PgxO3nyJFuwYAF7//33Wa1atVj37t3ZvHnz2NGjR1VeJ6o7\nMhljbm6Mbd1qvHMeO8ZYmzaMvXxpvHOaK3FxjNnZMfb6NqrTfU9thKBVq1ZISkqS6w4UFBTA2dkZ\n9+/fr5oHYkQMHSHguWf9ou6JT5/8+itJKN+9a7oSymKCMaqjGTCAVCgNzbx5DFLpHxgyJFYeAUhL\nS6uQ/68tVLWcyEhOBvr0oe9emZ5OBuHZM4oo7dvHG7/pi2nTAAsLYNs2Ay877Nu3L44dOwab122n\ncnJyMHz4cERHR1fphMbEkA7ByZNUZX3nDtcc0CdDhlAIzJBNWGQykt395BNg8mTDnae68fvvVCB6\n/Trg6KjfY8tkMty9exexsbE4eTIW587FokGDIri5/RP+d3Z2hqWl2rIojgqWLAH++1/NZZ+rypw5\ntEz7++8Ne57qRNm0Xa9eBnQIBg8ejGvXrsHT0xMAFQv26NEDDg4OkEgkch1uU8RQDkF+PkUGdu2i\nDmIc/VFaNX7lCtCqlWHO8c03wI8/Ut2Hhdp+nxxtWLmS5u7kSd1qagoKCpCYmCh/+o+Pj4etrS1c\nXd0QHe2KadNcsWBBi2qf/9cnBQVAhw7Apk2kRGkIqiogxVHPwYNU3J6UZECHYHclVV4SiQT+/v5V\nOrExMJRD8PnnQHY2NZrg6J+NG+mGcv68/gs1MzNJWvriRXLqOPqlsJAcuuXLSYlSUx4/foy4uDi5\nA3D79m20b99eHv7v3bs3GjVqhC1bSF1PSN0Kc+bcOWDqVLphW1vr99i6CkhxKocxYOBA4Nw5AzoE\nYkYikaCkhOn1wsFzz4anuBjo0YNWHlRVbEYVH31EkYcvv9TvcTn/EBsL+PnRTUWZGjBjDKmpqQrr\n/9PT09GzZ0+F/L91uTtSejopW8bGCq9sac6MHUuiYWvW6Pe4GzcC4eHU1Iw7c4bh998BJycDOAQj\nR47EkSNHlPbcrkyQyJSQSCTYu5fp7aZSmnueOhWYMkU/x+QoxxChxYgIWrd+5w7w1lv6OSZHOVOn\nUm3Nli30WiaT4eTJkzh+/DjOnz+PkpISee7f1dUVHTt2VJv/N6XeF+bMo0eUOjh/nuSN9YGuAlIc\nzTFIUWFmZibs7OyQmpqq9ITaNtMQAolEAltbprebyrZtlKe5eJHnno2Btt3rKiM/n24mO3dSJTzH\nsDx5QkVO4eHAq1exmDNnDiwtLTFhwgQMHDgQLVpol/8/eRKYP9+0umOaMzt3UtHflSv6udYNHUrR\nnWXLdD8Wp3IMusqgPIwxHD58WN6r25SRSCSYPZvp5abCc8/Gp3R50v79tCRKFxYupJDz/v36sY2j\nnv37gU8/XYQ33jiA1atXw8/Pr0pFgM+f09/B999zASljUVJCbYjHjQOmT9ftWD//TN8/Yywn5ujm\nEKj0/Z4/f46QkBDMmDED27ZtQ0lJCY4fP45//etf2C+iq+qKFUBkJN3IdWHuXFqmxp0B4/H221Tx\nHBAAvHpV9eMkJf3TCIRjPIqL9yIv7ygCAm5j9OjRVV4REBRE69W5M2A8LCxIvfCLL4CsrKofJy+P\n0nShodwZEAMqIwTDhg3D22+/jV69eiEyMhJSqRRvvvkmNm/ejE6dOhnbzipR6ikdPw4EBpJmfVX+\nKHnuWThKJU579KB10tpSUkI9wz/+mPLaHOPw3//+F66urti9+wL8/dvj5k2gWTPtj8OLeIUlMJCa\n6Bw6VLX9P/2U0kfGlCSv7hhEurhDhw7y/xcXF7OGDRuyFy9eVFkSsSyPHz9m/fv3ryBdXJ5Jkyax\nRo0asfbt21dp/7LDGzyYseBg7W19/pwxR0fGzp7Vfl+OfkhNJYnoBw+033f7dsZ69yZ5Vo7xWLp0\nKZs/fz5jjLEVKxgbNEj7YxQXM9ajB2Pffadn4zgak5/PWPPmjJ0+rf2+N24w1qgRY3/9pX+7OKqp\n5LauFpUpgxplulzUqFED9vb2eEtPj8erVq3CgAEDcP/+fXh4eFRobFTKpEmT5N0Wq7J/WbZsATZv\nBrRVXF6+nDq6vdZl4gjAu+/Sk8r06RQx0JTsbGqcEhrKi0CNzcmTJzF48GAApNtx/z7lkrWhNMw8\naZIBDORoRK1aVEw9Ywbw4oXm+8lklOpbtcr4HUw5OqDSU7CwYLVr15b/q1Gjhvz/derUqbIHwhhj\nrVu3ljcaycrKYq1bt1a5bUpKSoUIgab7lx/ehg2M9e3LWEmJZnbevs1YgwaMZWVptj3HcBQVMebs\nzNi+fZrv4+fHWGCg4WziKCc7O5vZ2NiwoqIi+XsXLzLm4EBNiTQhI4O+e/fuGchIjlaMGsXYokWa\nb795M2N9+mh+reXoj0pu62pRufBXJpMZzAl59OgRbG1tAQC2trZ49OiRwfYPCgqS/79PH3fs2+eO\nvXsBdQKLJSXk4X71FdC4sVbmcQyApSUthRo8GPD2BurVq3z7M2eAxET9LFnkaEdWVhaaNWumoCvQ\npw9F2ZYuJYEadcydS98/XsRrGmzYQJoEY8fS8t3KSE8nrYjYWC5AZAxiYmIQExOjl2MZTKlwwIAB\nyM7OrvD+V199BX9/f+Tk5Mjfq1evHp48eaL0OKmpqfD19cWdO3fk79nY2Gi0v7Liihs3AB8fEryp\nLJQVGkrSxJcv83CzKTFzJsnj7typepsXL+iitW0bdeDjGIeioiKkp6cjPT0dgYGBiImJQVpaGt57\n7z0AwOPHtHzwl1+Arl1VH+eXX0iDghfxmhaaXhOHD6d55l1ghcEgRYWGpHXr1izrdRw+MzOzSikD\nTfZXNby5cxmbOFG1fVlZFK5MSqpsFBwhyM1lzN6escuXVW8TGEjpAo5xkUqlrFGjRuzMmTPM1dWV\nrV+/nvn7+ytss2cPY126UApIGaVFvJGRhreXox0yGWM9ezK2Y4fqbcLDGXNyYqygwHh2cRTR5bYu\nyLPvoEGDsGfPHgDAnj17MGTIEKPuv3w56WlfuKD883nzSJpYiWozR2Dq1qXw5bRpFCkoz927wLff\n0jYc4+Lg4IB+/frh+PHjkMlkWLNmDebNm6ewzfjxNIfffKP8GMuXkzw4V5M0PUq1CZYsIXnj8jx/\nThG80FCuJila9OiYaMzjx4+Zh4dHhWWDGRkZzMfHR76dn58fa9KkCatZsyZzcHBg33//faX7l6ey\n4Z04wVirVhU92dOnaZlNfr6Og+QYjJISxnx8GFu5UvF9mYyx99+npYYcYbh37x6zsbFhzZo1Y8OG\nDVO6zW+/UQROKlV8//Ztxho2ZOx1vTDHRPn8c8bGjKn4/vz5jI0bZ3x7OIrocls3+26HlQ1v2DAq\nlCmtO+S5Z/GQmgp06wZcvQq0aEHv7dxJioRxcbzuQ0j69++PqKgo/Prrr3B2dla6TXAwCYUdO0av\nuYCUeCjtC7Jjxz/LsbmAlOlg1F4GYkLdL6Z8O1VdVbk4xmXNGiA6Gjh9GvjzT0rxREXxVI/QxMXF\n4euvv8apU6dUbvPqFTnja9cCgwZRmHnfPuDSJe7MiYGy6q01a1Ka55NPgMmThbaMwx0CFWjyi9m8\nmZ5StmwB+vUj3fsmTYxkIEcnioqoWv3//o+64Tk4AKtXC20VR1MuXAAmTiQnrlcveq1uSRvHdBg5\nkloZN2lCD1G8C6xpwB0CFWjyi5HJgJ49gT/+oDCmrp29OMYlPp6Wkb7zDoUrra2FtoijDRMnAidO\n0Pdu5UqhreFoQ2YmRXkAiuxwzQjTgDsEKpBIJFi2bJlcnEjVz6FDg7B+PeDoGASJRPV2/Kdp/nzr\nrSC4uAAxMaZhD/+p+c8XL4Ds7CCEhgJr1ghvD/+p3c87d4A+fYIwZ45p2MN/AsHBwdwhUIZOAg0i\nICYmBu7u7kKbYTDMeXzmPDaAj0/s8PGJF13uezzjI2L0JVdpqpjz+Mx5bAAfn9jh46uecIeAw+Fw\nOBwOdwg4HA6Hw+FUgxoCDofD4XCqE1W9rVvq2Q6Twox9HQ6Hw+Fw9ApPGXA4HA6Hw+EOAYfD4XA4\nHO4QcDgcDofDgZk4BGfOnEGbNm3QsmVLrFYhZj979my0bNkSzs7OuHXrlpEt1A1144uJiUHdunXR\nuXNndO7cGV9++aUAVlaNjz/+GLa2tuhQSUcisc6durGJed4AQCqVom/fvvjXv/6F9u3bY/PmzUq3\nE+v8aTI+Mc/hy5cv4eLigk6dOqFdu3YIDAxUup0Y50+TsYl57kqRyWTo3LkzfH19lX6u9dxVuXGy\niVBcXMxatGjBUlJSWGFhIXN2dmbJyckK2/zyyy/M29ubMcZYQkICc3FxEcLUKqHJ+C5cuMB8fX0F\nslA3Ll26xG7evMnat2+v9HMxz526sYl53hhjLCsri926dYsxxlheXh5r1aqVWX33NBmf2OcwPz+f\nMcZYUVERc3FxYZcvX1b4XMzzp25sYp87xhgLCQlhY8aMUTqOqsyd6CMEiYmJcHJygqOjI6ysrODn\n54cTJ04obBMeHg5/f38AgIuLC3Jzc/Ho0SMhzNUaTcYHiHdFhZubG2xsbFR+Lua5Uzc2QLzzBgCN\nGzdGp06dAAC1a9dG27ZtkZmZqbCNmOdPk/EB4p7DWrVqAQAKCwshk8lQr149hc/FPH/qxgaIe+7S\n09MRERGBKVOmKB1HVeZO9A5BRkYGmjZtKn/t4OCAjIwMtdukp6cbzUZd0GR8EokEV65cgbOzM3x8\nfJCcnGxsMw2GmOdOHeY0b6mpqbh16xZcXFwU3jeX+VM1PrHPYUlJCTp16gRbW1v07dsX7cq1LBTz\n/Kkbm9jnbt68eVi7di0sVPScrsrcid4h0FR8qLwHJRbRIk3s7NKlC6RSKW7fvo1Zs2ZhyJAhRrDM\neIh17tRhLvP2/PlzjBgxAps2bULt2rUrfC72+atsfGKfQwsLC/z6669IT0/HpUuXlGr8i3X+1I1N\nzHN36tQpNGrUCJ07d640yqHt3IneIbC3t4dUKpW/lkqlcHBwqHSb9PR02NvbG81GXdBkfHXq1JGH\nx7y9vVFUVIQnT54Y1U5DIea5U4c5zFtRURGGDx+OcePGKb2gin3+1I3PHOYQAOrWrYsPP/wQ169f\nV3hf7PMHqB6bmOfuypUrCA8PR/PmzTF69GhER0djwoQJCttUZe5E7xB069YNDx48QGpqKgoLC/Hj\njz9i0KBBCtsMGjQIe/fuBQAkJCTgnXfega2trRDmao0m43v06JHcE0xMTARjTGm+TIyIee7UIfZ5\nY4xh8uTJaNeuHebOnat0GzHPnybjE/Mc/v3338jNzQUAFBQU4Ny5c+jcubPCNmKdP03GJua5W7ly\nJaRSKVJSUnDo0CH069dPPk+lVGXuRC9dbGlpia1bt2LgwIGQyWSYPHky2rZtix07dgAAAgIC4OPj\ng4iICDg5OcHa2hphYWECW605mozvp59+wvbt22FpaYlatWrh0KFDAlutOaNHj8bFixfx999/o2nT\npggODkZRUREA8c+durGJed4AIC4uDvv27UPHjh3lF9uVK1ciLS0NgPjnT5PxiXkOs7Ky4O/vj5KS\nEpSUlGD8+PHw8PAwi2unJmMT89yVpzQVoOvcmXVzIw6Hw+FwOJoh+pQBh8PhcDgc3eEOAYfD4XA4\nHO4QcDgcDofD4Q4Bh8PhcDgccIeAw+FwOBwOgP8HN95fvdZ0OPMAAAAASUVORK5CYII=\n"
+      }
+     ],
+     "prompt_number": 8
+    },
+    {
+     "cell_type": "markdown",
+     "metadata": {},
+     "source": [
+      "That's pretty close! The error here is numerical and we can improve it by using a smaller timestep:"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "tfine = np.arange(0,4,0.0001)\n",
+      "fig = plt.figure(figsize=(8, 6), dpi=80)\n",
+      "showpwmripple(fig,tfine,0.6,0.1,centeralign=False);"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "display_data",
+       "png": "iVBORw0KGgoAAAANSUhEUgAAAgQAAAGLCAYAAAC4DIoGAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nVQAAAABJRU5ErkJggg==\n"
+      }
+     ],
+     "prompt_number": 9
+    },
+    {
+     "cell_type": "markdown",
+     "metadata": {},
+     "source": [
+      "The center-aligned case is a little more difficult to analyze, because there are 4 time intervals per PWM period rather than 2. \n",
+      "\n",
+      "If you don't like yucky algebra, skip ahead to the <a href=\"#caresults\">center-aligned results</a>. I don't usually like to put algebraic derivations in blog posts, since I hated sitting through college classes waiting for professors to finish writing long equations on the blackboard, but here I will, since the algebra's not so bad, and it'll give you a sense of how to understand the results if you want, as well as how to use `sympy` as a tool for assisting with this kind of task.\n",
+      "\n",
+      "For D<sub>a</sub> > D<sub>b</sub>, these are the four time intervals [A]-[D]:\n",
+      "\n",
+      "- [A]: (1-D<sub>a</sub>)T when the load voltage is zero\n",
+      "- [B]: (D<sub>a</sub>-D<sub>b</sub>)T/2 when the load voltage is V<sub>DC</sub>\n",
+      "- [C]: (D<sub>b</sub>)T when the load voltage is zero\n",
+      "- [D]: (D<sub>a</sub>-D<sub>b</sub>)T/2 when the load voltage is V<sub>DC</sub>"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "fig = plt.figure(figsize=(8, 6), dpi=80)\n",
+      "Da,Db = 0.6, 0.1\n",
+      "intcodes = 'ABCD'\n",
+      "axlist = showpwmripple(fig,t,Da,Db,centeralign=True)\n",
+      "for (i,tcenter) in enumerate([0.5, 1-(Da+Db)/4, 1, 1+(Da+Db)/4]):\n",
+      "    y = (i/2) * 1.1 + 0.55 \n",
+      "    intcode = '[%s]' % intcodes[i]\n",
+      "    axlist[0].annotate(intcode,xy=(tcenter,y),\n",
+      "        horizontalalignment='center',\n",
+      "        verticalalignment='center')\n",
+      "    axlist[2].annotate(intcode,xy=(tcenter,0.05),\n",
+      "        horizontalalignment='center',\n",
+      "        verticalalignment='center')    "
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "display_data",
+       "png": "iVBORw0KGgoAAAANSUhEUgAAAgQAAAGLCAYAAAC4DIoGAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n7wAAAABJRU5ErkJggg==\n"
+      }
+     ],
+     "prompt_number": 10
+    },
+    {
+     "cell_type": "markdown",
+     "metadata": {},
+     "source": [
+      "Let's focus on one period and look at the results. The average load voltage is still DV<sub>DC</sub> = (D<sub>a</sub>-D<sub>b</sub>)V<sub>DC</sub>. If we go through a similar type of analysis as the edge-aligned case, let's look at the values of the normalized inductor current (factoring out a V<sub>DC</sub>T/L) at some strategically-chosen times:"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "def show1period(Da,Db):\n",
+      "  t1period = np.arange(-0.5,1.5,0.001)\n",
+      "  pwmA = pwm(t1period,Da,centeralign=True)\n",
+      "  pwmB = pwm(t1period,Db,centeralign=True)\n",
+      "  fig = plt.figure()\n",
+      "  ax = fig.add_subplot(1,1,1)\n",
+      "  Ir = calcripple(t1period,pwmA-pwmB)\n",
+      "  ax.plot(t1period,Ir)\n",
+      "  ax.set_xlim(-0.1,1.1)\n",
+      "  ax.set_ylim(min(Ir)*1.2,max(Ir)*1.2)\n",
+      "  # now annotate\n",
+      "  (D1,D2,V) = (Db,Da,1) if Da > Db else (Da,Db,-1)\n",
+      "  tpts = np.array([0, D1/2, D2/2, 0.5, 1-(D2/2), 1-(D1/2), 1])\n",
+      "  dtpts = np.append([0],np.diff(tpts))\n",
+      "  vpts = np.array([0, 0, V, 0, 0, V, 0]) - (Da-Db) \n",
+      "  ypts = np.cumsum(vpts*dtpts)\n",
+      "  ax.plot(tpts,ypts,'.',markersize=8)\n",
+      "  for i in range(7):\n",
+      "    ax.annotate('$t_%d$' % i,xy=(tpts[i]+0.01,ypts[i]), fontsize=16)\n",
+      "    \n",
+      "show1period(0.6,0.1)\n",
+      "show1period(0.9,0.8)"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "display_data",
+       "png": "iVBORw0KGgoAAAANSUhEUgAAAX4AAAD5CAYAAAAgGF4oAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nrkJggg==\n"
+      },
+      {
+       "output_type": "display_data",
+       "png": "iVBORw0KGgoAAAANSUhEUgAAAX4AAAD5CAYAAAAgGF4oAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nkZ1h4icisjP/D7HQJTZICVf/AAAAAElFTkSuQmCC\n"
+      }
+     ],
+     "prompt_number": 71
+    },
+    {
+     "cell_type": "markdown",
+     "metadata": {},
+     "source": [
+      "For D = D<sub>a</sub> - D<sub>b</sub> > 0, here's algebraic equations for the ripple current values at these points t[0] - t[6]:\n",
+      "\n",
+      "<table>\n",
+      "    <tr><th>t/T</th><th>I/I<sub>R0</sub></th></tr>\n",
+      "    <tr><td>t[0] = 0</td><td>I[0] = 0</td></tr>\n",
+      "    <tr><td>t[1] = D<sub>b</sub>/2</td><td>I[1] = I[0] + (t[1]-t[0])*(0-D) = -D*D<sub>b</sub>/2</td></tr>\n",
+      "    <tr><td>t[2] = D<sub>a</sub>/2</td><td>I[2] = I[1] + (t[2]-t[1])*(1-D) = -D*D<sub>b</sub>/2 + (D<sub>a</sub>-D<sub>b</sub>)*(1-D)/2</td></tr>\n",
+      "    <tr><td>t[3] = 0.5</td><td>I[3] = I[2] + (t[3]-t[2])*(0-D) = -D*D<sub>b</sub>/2 + (D<sub>a</sub>-D<sub>b</sub>)*(1-D)/2 + (1-D<sub>a</sub>)*(0-D)/2</td></tr>\n",
+      "    <tr><td>t[4] = 1-D<sub>a</sub>/2</td><td>I[4] = I[3] + (t[4]-t[3])*(0-D) = yucky algebra</td></tr>\n",
+      "    <tr><td>t[5] = 1-D<sub>b</sub>/2</td><td>I[5] = I[4] + (t[5]-t[4])*(1-D) = yucky algebra</td></tr>\n",
+      "    <tr><td>t[6] = 1</td><td>I[6] = I[5] + (t[6]-t[5])*(0-D) = yucky algebra</td></tr>    \n",
+      "</table>\n",
+      "\n",
+      "The algebra is starting to get a bit yucky, so let's simplify this with `sympy`. The algebra trick we'll use is to rewrite D<sub>a</sub> and D<sub>b</sub> in terms of their differential-mode component D and common-mode component D<sub>0</sub>:"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "import sympy\n",
+      "%load_ext sympy.interactive.ipythonprinting\n",
+      "D, D0 = sympy.symbols(\"D D_0\")\n",
+      "Da =  D/2 + D0\n",
+      "Db = -D/2 + D0\n",
+      "# now let's verify that we've defined D and D0 properly:\n",
+      "display('Da-Db=',Da-Db)\n",
+      "display('(Da+Db)/2=',(Da+Db)/2)"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "display_data",
+       "text": [
+        "Da-Db="
+       ]
+      },
+      {
+       "latex": [
+        "$$D$$"
+       ],
+       "output_type": "display_data",
+       "png": "iVBORw0KGgoAAAANSUhEUgAAABIAAAASCAYAAABWzo5XAAAABHNCSVQICAgIfAhkiAAAAQJJREFU\nOI3d078rxVEYx/HX9Supm1LXRAYGSjFTJIvdajP7B8xWhT8Asx9/gImrW0ab4VoMDBZSMig/hnPu\noL7f52sw+SxPnc+n93nOec7hj1QrWT/GJKbxiit8Zm8QdRxgBx9Vm8ziC1sF3gzaOP1NtxsZtFzi\nz2d/rQp0gncMBJk2zqtAj9LdRGrhCbpKAlMYxmUFaAj9EWgh1wjUhwk8RKBFadytADSHXlwEGfe4\njgLYk6a2VBYYz4HdAFLHM5qdhaKjde6nWeB1tIlurAcZh7mjRom/Kn2blQhSwx1uCrwGtnErveof\n6sl1FPsYwRhecJY7I426D0fSP3uLuvln+gbFoi6RyyEiNgAAAABJRU5ErkJggg==\n",
+       "text": [
+        "D"
+       ]
+      },
+      {
+       "output_type": "display_data",
+       "text": [
+        "(Da+Db)/2="
+       ]
+      },
+      {
+       "latex": [
+        "$$D_{0}$$"
+       ],
+       "output_type": "display_data",
+       "png": "iVBORw0KGgoAAAANSUhEUgAAABkAAAAYCAYAAAAPtVbGAAAABHNCSVQICAgIfAhkiAAAAYRJREFU\nSInt1b9rk1EUxvFPTBqkWKRqpII/KnWwEKhDXRSUIoKbg2uhg5OD0Nm5q2BdBdu5tn9AJ60EHATt\nUpE6qNgKgrYEikihicO9gbcx7xtNgjj4LC/nnHvP9973nHsvf0G5FP8TnEcZO3iBWowdxgDm8AB7\n3SzgAuqYaREbwzqWugHA3Qi5lhK/HOOT3UAWsYv+jDHreNoN5ItQiyxVsNUu0YEU/yiO43mb+Udw\nsFPIlfjNghRxDpudQq4KLVvJmHsJfXjWDpKmDbxuM+ah0F0TnQBG4uTZjDED2MbK7yRs9bsa9chK\ncA953E74xoXdTeGRUK9UzQs7KaXEbwlXzY2Er4iPOBHti3iZBsjhA960iJVwH++E057Udaw15dnB\nWShE5yk8xkmcQRXLcUeNlRaxINxb35sgw/iWsOtCzcp434B8iqvpVMdagH8IDZJ6Tv5UVb8+G4fw\ntZeQtxhK2AUMCs3QMxXwGaejPYFXjWC+R5AaVnEHR3ET0/Y3w3/9Q/oJxbFFypeXu8IAAAAASUVO\nRK5CYII=\n",
+       "text": [
+        "D\u2080"
+       ]
+      }
+     ],
+     "prompt_number": 11
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "# average voltage at the load = D\n",
+      "I = [0,0,0,0,0,0,0]\n",
+      "I[1] = I[0] + Db/2*(0-D)\n",
+      "I[2] = I[1] + (Da-Db)/2*(1-D)\n",
+      "I[3] = I[2] + (1-Da)/2*(0-D)\n",
+      "I[4] = I[3] + (1-Da)/2*(0-D)\n",
+      "I[5] = I[4] + (Da-Db)/2*(1-D)\n",
+      "I[6] = I[5] + Db/2*(0-D)\n",
+      "\n",
+      "# let's use pandas to display as a table\n",
+      "import pandas as pd\n",
+      "itable1 = pd.DataFrame([sympy.simplify(Ik) for Ik in I],\n",
+      "             index=['I[%d]' % d for d in range(7)])\n",
+      "itable1"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "html": [
+        "<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
+        "<table border=\"1\" class=\"dataframe\">\n",
+        "  <thead>\n",
+        "    <tr style=\"text-align: right;\">\n",
+        "      <th></th>\n",
+        "      <th>0</th>\n",
+        "    </tr>\n",
+        "  </thead>\n",
+        "  <tbody>\n",
+        "    <tr>\n",
+        "      <th>I[0]</th>\n",
+        "      <td>                    0</td>\n",
+        "    </tr>\n",
+        "    <tr>\n",
+        "      <th>I[1]</th>\n",
+        "      <td>      D*(D - 2*D_0)/4</td>\n",
+        "    </tr>\n",
+        "    <tr>\n",
+        "      <th>I[2]</th>\n",
+        "      <td> D*(-D - 2*D_0 + 2)/4</td>\n",
+        "    </tr>\n",
+        "    <tr>\n",
+        "      <th>I[3]</th>\n",
+        "      <td>                    0</td>\n",
+        "    </tr>\n",
+        "    <tr>\n",
+        "      <th>I[4]</th>\n",
+        "      <td>  D*(D + 2*D_0 - 2)/4</td>\n",
+        "    </tr>\n",
+        "    <tr>\n",
+        "      <th>I[5]</th>\n",
+        "      <td>     D*(-D + 2*D_0)/4</td>\n",
+        "    </tr>\n",
+        "    <tr>\n",
+        "      <th>I[6]</th>\n",
+        "      <td>                    0</td>\n",
+        "    </tr>\n",
+        "  </tbody>\n",
+        "</table>\n",
+        "</div>"
+       ],
+       "output_type": "pyout",
+       "prompt_number": 12,
+       "text": [
+        "                         0\n",
+        "I[0]                     0\n",
+        "I[1]       D*(D - 2*D_0)/4\n",
+        "I[2]  D*(-D - 2*D_0 + 2)/4\n",
+        "I[3]                     0\n",
+        "I[4]   D*(D + 2*D_0 - 2)/4\n",
+        "I[5]      D*(-D + 2*D_0)/4\n",
+        "I[6]                     0"
+       ]
+      }
+     ],
+     "prompt_number": 12
+    },
+    {
+     "cell_type": "markdown",
+     "metadata": {},
+     "source": [
+      "It's always good to see 0 values when you're simplifying algebra. Also note that I[1] = -I[5] and I[2] = -I[4]. If we were to repeat this exercise for D < 0 (D<sub>a</sub> < D<sub>b</sub>), we'd get:"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "# average voltage at the load = D; \n",
+      "# load voltage alternates between 0 and -1\n",
+      "I = [0,0,0,0,0,0,0]\n",
+      "I[1] = I[0] + Da/2*(0-D)\n",
+      "I[2] = I[1] + (Db-Da)/2*(-1-D)\n",
+      "I[3] = I[2] + (1-Db)/2*(0-D)\n",
+      "I[4] = I[3] + (1-Db)/2*(0-D)\n",
+      "I[5] = I[4] + (Db-Da)/2*(-1-D)\n",
+      "I[6] = I[5] + Da/2*(0-D)\n",
+      "itable2 = pd.DataFrame([sympy.simplify(Ik) for Ik in I], \n",
+      "                index=['I[%d]' % d for d in range(7)])\n",
+      "itable2"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "html": [
+        "<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
+        "<table border=\"1\" class=\"dataframe\">\n",
+        "  <thead>\n",
+        "    <tr style=\"text-align: right;\">\n",
+        "      <th></th>\n",
+        "      <th>0</th>\n",
+        "    </tr>\n",
+        "  </thead>\n",
+        "  <tbody>\n",
+        "    <tr>\n",
+        "      <th>I[0]</th>\n",
+        "      <td>                    0</td>\n",
+        "    </tr>\n",
+        "    <tr>\n",
+        "      <th>I[1]</th>\n",
+        "      <td>     D*(-D - 2*D_0)/4</td>\n",
+        "    </tr>\n",
+        "    <tr>\n",
+        "      <th>I[2]</th>\n",
+        "      <td>  D*(D - 2*D_0 + 2)/4</td>\n",
+        "    </tr>\n",
+        "    <tr>\n",
+        "      <th>I[3]</th>\n",
+        "      <td>                    0</td>\n",
+        "    </tr>\n",
+        "    <tr>\n",
+        "      <th>I[4]</th>\n",
+        "      <td> D*(-D + 2*D_0 - 2)/4</td>\n",
+        "    </tr>\n",
+        "    <tr>\n",
+        "      <th>I[5]</th>\n",
+        "      <td>      D*(D + 2*D_0)/4</td>\n",
+        "    </tr>\n",
+        "    <tr>\n",
+        "      <th>I[6]</th>\n",
+        "      <td>                    0</td>\n",
+        "    </tr>\n",
+        "  </tbody>\n",
+        "</table>\n",
+        "</div>"
+       ],
+       "output_type": "pyout",
+       "prompt_number": 13,
+       "text": [
+        "                         0\n",
+        "I[0]                     0\n",
+        "I[1]      D*(-D - 2*D_0)/4\n",
+        "I[2]   D*(D - 2*D_0 + 2)/4\n",
+        "I[3]                     0\n",
+        "I[4]  D*(-D + 2*D_0 - 2)/4\n",
+        "I[5]       D*(D + 2*D_0)/4\n",
+        "I[6]                     0"
+       ]
+      }
+     ],
+     "prompt_number": 13
+    },
+    {
+     "cell_type": "markdown",
+     "metadata": {},
+     "source": [
+      "The forms are the same, and we can generalize to this:\n",
+      "\n",
+      "I[0] = I[3] = I[6] = 0\n",
+      "\n",
+      "I[1] = -I[5] = D\\*(abs(D) - 2\\*D0)/4\n",
+      "\n",
+      "I[2] = -I[4] = D\\*(2-abs(D) - 2\\*D0)/4\n",
+      "\n",
+      "The maximum amplitude of ripple current is just the maximum amplitude of I[1] or I[2]:\n",
+      "\n",
+      "I[peak] = abs(D)\\*max(abs(abs(D) - 2\\*D0), abs(2 - abs(D) - 2\\*D0))/4\n",
+      "\n",
+      "We can plot this in a contour plot in Python:"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "Da_vector = np.arange(0,1,0.005)\n",
+      "Db_vector = np.arange(0,1,0.005)\n",
+      "Da, Db = np.meshgrid(Da_vector, Db_vector)\n",
+      "D = Da-Db\n",
+      "D0 = (Da+Db)/2\n",
+      "Ipk = abs(D)*np.maximum(abs(abs(D)-2*D0),abs(2-abs(D)-2*D0))/4\n",
+      "cs = plt.contour(Da,Db,Ipk,numpy.arange(0,0.125,0.0125),colors='black')\n",
+      "plt.clabel(cs)\n",
+      "plt.xlabel('Da')\n",
+      "plt.ylabel('Db')\n",
+      "plt.title('Peak ripple current $I_{pk}/(V_{dc}T/L)$',fontsize=16)"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "pyout",
+       "prompt_number": 14,
+       "text": [
+        "Text(0.5,1,'Peak ripple current $I_{pk}/(V_{dc}T/L)$')"
+       ]
+      },
+      {
+       "output_type": "display_data",
+       "png": "iVBORw0KGgoAAAANSUhEUgAAAXwAAAEZCAYAAACU3p4jAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nj8A3+Hz48OHzH4Fv8Pnw4cPnP8L/A7ijvm2byX7HAAAAAElFTkSuQmCC\n"
+      }
+     ],
+     "prompt_number": 14
+    },
+    {
+     "cell_type": "markdown",
+     "metadata": {},
+     "source": [
+      "It may be a bit more insightful to make a contour plot relative to the common-mode and differential-mode duty cycles:"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "cs = plt.contour(D,D0,Ipk,numpy.arange(0,0.125,0.0125),\n",
+      "             colors='black')\n",
+      "plt.clabel(cs)\n",
+      "plt.xlabel('D = Da - Db')\n",
+      "plt.xticks(np.arange(-1,1.25,0.25))\n",
+      "plt.yticks(np.arange(0,1.1,0.1))\n",
+      "plt.ylabel('common-mode duty cycle D0')\n",
+      "plt.title('Peak ripple current $I_{pk}/(V_{dc}T/L)$',\n",
+      "  fontsize=16)"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "pyout",
+       "prompt_number": 15,
+       "text": [
+        "Text(0.5,1,'Peak ripple current $I_{pk}/(V_{dc}T/L)$')"
+       ]
+      },
+      {
+       "output_type": "display_data",
+       "png": "iVBORw0KGgoAAAANSUhEUgAAAYkAAAEZCAYAAABiu9n+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAABJRU5ErkJggg==\n"
+      }
+     ],
+     "prompt_number": 15
+    },
+    {
+     "cell_type": "markdown",
+     "metadata": {},
+     "source": [
+      "Why is this insightful? *Because the minimum amplitude ripple occurs when we keep the common-mode duty cycle equal to 0.5*! In this case, we pick our differential duty cycle D, and set Da = (1 + D)/2  and Db = (1 - D)/2.\n",
+      "\n",
+      "Not only do we get ripple current of minimum amplitude for a given differential duty cycle D, but the irregular-looking waveform for ripple current disappears, and we're left with a straightforward sawtooth at twice the PWM frequency:"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "fig = plt.figure(figsize=(8, 6), dpi=80)\n",
+      "Da,Db = 0.25, 0.75\n",
+      "axlist = showpwmripple(fig,t,Da,Db,centeralign=True)"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "display_data",
+       "png": "iVBORw0KGgoAAAANSUhEUgAAAgQAAAGLCAYAAAC4DIoGAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRK5CYII=\n"
+      }
+     ],
+     "prompt_number": 16
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "fig = plt.figure(figsize=(8, 6), dpi=80)\n",
+      "Da,Db = 0.85, 0.15\n",
+      "axlist = showpwmripple(fig,t,Da,Db,centeralign=True)"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "display_data",
+       "png": "iVBORw0KGgoAAAANSUhEUgAAAgQAAAGLCAYAAAC4DIoGAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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