{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "# matplotlib"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 目录\n",
    "+ Matplotlib基础知识\n",
    "    + 示例\n",
    "    + 只含单一曲线的图\n",
    "    + 包含多个曲线的图\n",
    "        + hold属性\n",
    "    + 网格线\n",
    "    + 水平线、垂直线\n",
    "    + 坐标轴界限\n",
    "    + 坐标轴标签\n",
    "    + 标题\n",
    "    + 图例\n",
    "    + 保存图片\n",
    "    + 互动模式\n",
    "    + plot后不打印plot对象\n",
    "    + 配置matplotlib参数\n",
    "    + 设置代码的后端backend\n",
    "\n",
    "\n",
    "+ 设置plot的风格和样式\n",
    "    + 点和线的样式\n",
    "        + 颜色\n",
    "        + 线型\n",
    "        + 点型\n",
    "        + MATLAB风格的参数\n",
    "        + 更多点和线的设置\n",
    "        + 在一条语句中为多个曲线进行设置\n",
    "        + 三种设置方式\n",
    "    + X、Y轴坐标刻度\n",
    "        + 面向对象方法\n",
    "        + 科学计数法\n",
    "        + 设置坐标轴刻度标签到坐标轴的距离\n",
    "\n",
    "\n",
    "+ 其他2D图形\n",
    "    + 图形选择建议\n",
    "    + 示例\n",
    "    + 直方图\n",
    "    + 误差条\n",
    "    + 条形图\n",
    "    + 饼图\n",
    "    + 散点图\n",
    "    + 填充曲线之间区域\n",
    "    + 极坐标图\n",
    "    + matplotlib.patches\n",
    "\n",
    "\n",
    "+ 图形内的文字、注释、箭头\n",
    "    + 图形内的文字\n",
    "    + 注释\n",
    "    + 箭头\n",
    "\n",
    "\n",
    "+ 高阶Matplotlib\n",
    "    + 面向对象绘图\n",
    "        + figure实例及fig.add_axes()方法\n",
    "        + plt.subplot()方法\n",
    "        + plt.subplots()方法\n",
    "        + plt.subplot2grid()方法\n",
    "        + gridspec\n",
    "        + 调整子图之间的间距\n",
    "        + fig.tight_layout()方法\n",
    "        + 调取plot返回的曲线对象\n",
    "        + 同时绘制多幅图（非子图）\n",
    "    + 坐标轴的特殊设置\n",
    "        + 同一幅图中并列的2个X、Y轴\n",
    "        + 对数坐标轴\n",
    "        + 不同的图保持一致的X、Y轴\n",
    "        + 设置边框\n",
    "        + 中央坐标轴\n",
    "    + 设置figure的大小、长宽比和DPI\n",
    "        + 调整图表大小\n",
    "    + 等高线\n",
    "    + 向图表中添加表格\n",
    "\n",
    "\n",
    "+ 3D图\n",
    "    + 曲面图\n",
    "    + 线框图\n",
    "    + 映射等高线图\n",
    "    + 改变视角\n",
    "\n",
    "\n",
    "+ 文字的属性、中文字体、LaTeX\n",
    "    + 文字的属性（3种设置方法）\n",
    "    + 中文字体\n",
    "    + LaTex\n",
    "\n",
    "\n",
    "+ 绘制图片\n",
    "    + imread()\n",
    "    + imshow()\n",
    "\n",
    "+ 后端设置\n",
    "    + Generating SVG with the svg backend\n",
    "    + The IPython notebook inline backend\n",
    "    + Interactive backend (this makes more sense in a python script file)\n",
    "\n",
    "\n",
    "+ Further reading"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import matplotlib as mpl\n",
    "import matplotlib.pyplot as plt\n",
    "from numpy.random import randn\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "from IPython.display import Image"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# This line configures matplotlib to show figures embedded in the notebook, instead of opening a new window for each figure.\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Matplotlib基础知识"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Matplotlib中的基本图表包括的元素\n",
    "+ x轴和y轴  \n",
    "水平和垂直的轴线\n",
    "+ x轴和y轴刻度  \n",
    "刻度标示坐标轴的分隔，包括最小刻度和最大刻度\n",
    "+ x轴和y轴刻度标签  \n",
    "表示特定坐标轴的值\n",
    "+ 绘图区域  \n",
    "实际绘图的区域"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 示例"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
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moIeMZgAj4uZdCzynqscALwA/CrgNWRdflFVVxowZwyGHHELnzp35yle+wjvvvFP3+lNP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\nMT5LCMYYYwBLCMYYY3yWEIwxxgDwfx9x1LCKUiDFAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x3f1f048>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "x = np.arange(1, 5)\n",
    "plt.plot(x, x*1.5, label='Normal')\n",
    "plt.plot(x, x*3.0, label='Fast')\n",
    "plt.plot(x, x/3.0, label='Slow')\n",
    "plt.grid(True)\n",
    "plt.title('Sample Growth of a Measure')\n",
    "plt.xlabel('Samples')\n",
    "plt.ylabel('Values Measured')\n",
    "plt.legend(loc='upper left')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 只含单一曲线的图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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DwIHwu9+F2Sft2sVdkWSLQlykwGzdCjfdBG++CX/7Gxx5ZNwVSTapnSJSQMpXINy6FWbN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\nmEJcRCSPKcRFRPKYQlxEJI/9H7UNwRAOD83rAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x966f9e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "x = np.arange(0.0, 6.0, 0.01)\n",
    "plt.plot(x, x**2)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 包含多个曲线的图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x830ca58>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "x = np.arange(1, 5)\n",
    "plt.plot(x, x*1.5)\n",
    "plt.plot(x, x*3.0)\n",
    "plt.plot(x, x/3.0)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x99839b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 也可以在一个plot函数中传入多对X,Y值，在一个图中绘制多个曲线\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "x = np.arange(1, 5)\n",
    "plt.plot(x, x*1.5, x, x*3.0, x, x/3.0)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### hold属性\n",
    "hold属性默认为True，允许在一幅图中绘制多个曲线；将hold属性修改为False，每一个plot都会覆盖前面的plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x9dd9978>]"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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Z8i2w3iUtK0t+B6x3ScvOkp+R9S5pFVjyU7LeJa0SS34K1rukVTOx5JNcmuQvkzyf5Nkk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\nktRh/x9f2YzI1JfFnQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x9bb0e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "plt.interactive(True)# enable interactive mode, in case it was not\n",
    "plt.hold(False) # empty window will pop up\n",
    "plt.plot([1, 2, 3])\n",
    "plt.plot([2, 4, 6])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXkAAAEACAYAAABWLgY0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nqbH/BTlbs8dE2Xm9AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x97fe710>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hold(True) # 将hold属性改回True"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 网格线\n",
    "grid方法"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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l6srMpZsycZFjkolfFLPILMUp0gRhM3U1c1ETlyYK19RTaebR98pWUV9ZTVxrl7bo9YXZ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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x9fc6198>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 使用grid方法为图添加网格线\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "x = np.arange(1, 5)\n",
    "plt.plot(x, x*1.5, x, x*3.0, x, x/3.0)\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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PdH6iTPcnhBBmmrl5JtM3TqdapWpMHTjV8qPt0rASooL7ZN0nfL/je8KrhPNp/0/LfIJS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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x9dc26a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "fig  = plt.figure(figsize=(10,3))\n",
    "\n",
    "x = np.linspace(0, 5, 100)\n",
    "\n",
    "# default grid appearance\n",
    "ax1 = fig.add_subplot(121)\n",
    "ax1.plot(x, x**2, x, x**3, lw=2)\n",
    "ax1.grid(True) # 显式网格线\n",
    "\n",
    "# 对网格线进行设置\n",
    "ax2 = fig.add_subplot(122)\n",
    "ax2.plot(x, x**2, x, x**3, lw=2)\n",
    "ax2.grid(color='b', alpha=0.5, linestyle='dashed', linewidth=0.5) # 用与plot同样的参数设置网格线"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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9cTHwX8D63vqyps/dYBb3AQ+ezgF4B1jX9NlXIYubgCngwFluX9bcXI1H8r55qhiaRWY+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\nYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x9fc6438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.grid(b=True, which='major', axis='both')\n",
    "# which指定绘制的网格刻度类型（major、minor或者both）\n",
    "# axis指定绘制哪组网格线（both、x或者y）"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 水平线、垂直线"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### plt.axhline()、plt.axvline()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAX4AAAEACAYAAAC08h1NAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAACtVJREFUeJzt3E+Irfddx/HPN1yyaAuhanMjrcnC2D8KpXYRKl10oDZN\nREiUotGFbZUSlOxcNKHCvUoX1kUElSBqKBVSQjexibY2KXWUImgwxhqafy6SJjG9FWzFf4uYfF3M\naRxvZubOnTnnzMz9vl5wuOecec7z+/HwzHvO/c15pro7AMxx2VFPAID1En6AYYQfYBjhBxhG+AGG\nEX6AYZYS/qq6u6rOVdXXtj33xqp6sKqerKovVdUVyxgLgMNZ1jv+Tyf54HnP3Z7ky939tiRfSXLH\nksYC4BBqWRdwVdU1SR7o7ncuHj+R5H3dfa6qrkqy2d1vX8pgABzYKtf4r+zuc0nS3d9McuUKxwJg\nn9b5y11/GwLgGDi1wn2fq6rT25Z6vrXTRlXlBwLAAXR3HeR1y3zHX4vbd92f5COL+x9O8vndXtjd\nbku6nTlz5sjncCndHE/H8rjeDmNZH+f8bJK/TvLWqvpGVX00yW8m+UBVPZnk/YvHAByxpSz1dPfP\n7/KlH1/G/gFYHlfuXmI2NjaOegqXFMdzeRzL42Npn+M/8ASq+qjnAHDSVFX6GPxyF4ATQPgBhhF+\ngGGEH2AY4QcYRvgBhhF+gGGEH2AY4QcYRvgBhhF+gGGEH2AY4QcYRvgBhhF+gGGEH2AY4QcYRvgB\nhhF+gGGEH2AY4QcYRvgBhhF+gGGEH2AY4QcYRvgBhhF+gGGEH2AY4QcYRvgBhhF+gGGEH2AY4QcY\nRvgBhhF+gGGEH2AY4QcYRvgBhhF+gGGEH2AY4QcYRvgBhhF+gGGEH2AY4QcY5tSqB6iqZ5L8W5JX\nkrzU3detekwAdrfy8Gcr+Bvd/e01jAXABaxjqafWNA4A+7COIHeSh6rq4ar62BrGA2AP61jqeW93\nv1hVb8rWD4DHu/ur2zc4e/bsq/c3NjaysbGxhmkBnBybm5vZ3Nxcyr6qu5eyo30NVnUmyb93953b\nnut1zgHgUlBV6e46yGtXutRTVa+rqjcs7r8+yfVJHlvlmADsbdVLPaeT3FdVvRjrnu5+cMVjArCH\ntS717DgBSz0AF+3YLvUAcPwIP8Awwg8wjPADDCP8AMMIP8Awwg8wjPADDCP8AMMIP8Awwg8wjPAD\nDCP8AMMIP8Awwg8wjPADDCP8AMMIP8Awwg8wjPADDCP8AMMIP8Awwg8wjPADDCP8AMMIP8Awwg8w\njPADDCP8AMMIP8Awwg8wjPADDCP8AMMIP8Awwg8wjPADDCP8AMMIP8Awwg8wjPADDCP8AMMIP8Aw\nwg8wjPADDCP8AMMIP8Awwg8wzMrDX1U3VNUTVfVUVX181eMBsLfq7tXtvOqyJE8leX+Sf07ycJJb\nuvuJbdv0KucAcCmqqnR3HeS1q37Hf12Sp7v72e5+Kcm9SW5a8ZgA7GHV4X9zkue2PX5+8RwAR+TU\nUU8gSarObnu0sbgB8H82F7fDW3X4X0hy9bbHb1k89/90n13xNABOuo1sf1Nc9esH3tOql3oeTnJt\nVV1TVZcnuSXJ/SseE4A9rPQdf3e/XFW3JXkwWz9k7u7ux1c5JgB7W+nHOfc1AR/nBLhox/njnAAc\nM8IPMIzwAwwj/ADDCD/AMMIPMIzwAwwj/ADDCD/AMMIPMIzwAwwj/ADDCD/AMMIPMIzwAwwj/ADD\nCD/AMMIPMIzwAwwj/ADDCD/AMMIPMIzwAwwj/ADDCD/AMMIPMIzwAwwj/ADDCD/AMMIPMIzwAwwj\n/ADDCD/AMMIPMIzwAwwj/ADDCD/AMMIPMIzwAwwj/ADDCD/AMMIPMIzwAwwj/ADDCD/AMMIPMIzw\nAwyzsvBX1Zmqer6qHlncbljVWADs36kV7//O7r5zxWMAcBFWvdRTK94/ABdp1eG/raoerao/qqor\nVjwWAPtwqKWeqnooyentTyXpJJ9IcleS3+jurqpPJrkzyS/ttJ+zZ8++en9jYyMbGxuHmRbAJWdz\nczObm5tL2Vd191J2tOcgVdckeaC737nD13odcwC4lFRVuvtAy+mr/FTPVdse/nSSx1Y1FgD7t8pP\n9fxWVb0ryStJnkly6wrHAmCf1rLUs+cELPUAXLRjudQDwPEk/ADDCD/AMMIPMIzwAwwj/ADDCD/A\nMMIPMIzwAwwj/ADDCD/AMMIPMIzwAwwj/ADDCD/AMMIPMIzwAwwj/ADDCD/AMMIPMIzwAwwj/ADD\nCD/AMMIPMIzwAwwj/ADDCD/AMMIPMIzwAwwj/ADDCD/AMMIPMIzwAwwj/ADDCD/AMMIPMIzwAwwj\n/ADDCD/AMMIPMIzwAwwj/ADDCD/AMMIPMIzwAwwj/ADDHCr8VfWhqnqsql6uqnef97U7qurpqnq8\nqq4/3DQBWJbDvuP/xyQ/leQvtz9ZVe9I8jNJ3pHkxiR3VVUdciz2YXNz86incElxPJfHsTw+DhX+\n7n6yu59Ocn7Ub0pyb3f/T3c/k+TpJNcdZiz2xzfXcjmey+NYHh+rWuN/c5Lntj1+YfEcAEfs1IU2\nqKqHkpze/lSSTvKJ7n5gVRMDYDWquw+/k6q/SPKr3f3I4vHtSbq7P7V4/OdJznT33+zw2sNPAGCg\n7j7Q704v+I7/ImyfwP1J7qmq387WEs+1Sf52pxcddOIAHMxhP855c1U9l+Q9Sf60qr6YJN399SSf\nS/L1JF9I8iu9jP9aAHBoS1nqAeDkWPuVu3td9HXedjdU1RNV9VRVfXydczxJquqNVfVgVT1ZVV+q\nqit22e6ZqvqHqvr7qtpx2W2q/ZxrVfU7iwsSH62qd617jifJhY5nVb2vqr5TVY8sbr92FPM8Carq\n7qo6V1Vf22Obiz43j+JPNux40dd2VXVZkt9L8sEkP5Lk56rq7euZ3olze5Ivd/fbknwlyR27bPdK\nko3u/tHudk3Fwn7Otaq6MckPdvcPJbk1ye+vfaInxEV87/5Vd797cfvkWid5snw6W8dyRwc9N9ce\n/j0u+truuiRPd/ez3f1SknuzdVEYr3VTks8s7n8myc27bFfxt5l2sp9z7aYkf5wki0+mXVFVp8NO\n9vu960Md+9DdX03y7T02OdC5eVxDcP4FYM/HBWC7ubK7zyVJd38zyZW7bNdJHqqqh6vqY2ub3fG3\nn3PNBYn7t9/v3R9bLE38WVX98Hqmdkk60Lm5zI9zvspFX8u1x/HcaW10t9/Wv7e7X6yqN2XrB8Dj\ni3cTsG5/l+Tq7v6vxVLFnyR56xHPaZSVhL+7P3DIXbyQ5Optj9+yeG6kvY7n4hc/p7v7XFVdleRb\nu+zjxcW//1JV92Xrv+TCv79z7YUkP3CBbdhywePZ3f+x7f4Xq+quqvqe7v7XNc3xUnKgc/Ool3p2\nW+d7OMm1VXVNVV2e5JZsXRTGa92f5COL+x9O8vnzN6iq11XVGxb3X5/k+iSPrWuCx9x+zrX7k/xC\nklTVe5J857vLa7zGBY/n9jXoqrouWx8rF/3dVXZv5YHOzZW8499LVd2c5HeTfF+2Lvp6tLtvrKrv\nT/KH3f2T3f1yVd2W5MFs/XC6u7sfX/dcT4hPJflcVf1ikmez9eews/14ZmuZ6L7Fn8c4leSe7n7w\nqCZ8nOx2rlXVrVtf7j/o7i9U1U9U1T8l+c8kHz3KOR9n+zmeST5UVb+c5KUk/53kZ49uxsdbVX02\nyUaS762qbyQ5k+TyHPLcdAEXwDBHvdQDwJoJP8Awwg8wjPADDCP8AMMIP8Awwg8wjPADDPO//YKB\nN3Au574AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xa2f7780>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.axis([-1, 1, -10, 10])\n",
    "plt.axhline(); # 添加水平线，重要参数包括：y轴位置、xmin、xmax，默认在y=0位置绘制水平线"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAX4AAAEACAYAAAC08h1NAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x9dd9d30>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.axis([-1, 1, -10, 10])\n",
    "plt.axvline(0.5, 0.2, 0.8); # 添加垂直线，重要参数包括：x轴位置、ymin、ymax，默认在x=0位置绘制水平线(ymin、ymax都是比例值)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### plt.axhspan()、plt.axvspan()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAX4AAAEACAYAAAC08h1NAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n2qgAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x9d1a908>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.axis([-1, 1, -10, 10])\n",
    "plt.axhspan(-5, 2); # 绘制一条水平带（矩形），需要ymin、ymax参数指定水平带的宽度（ymin、ymax都是实际值）"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAX4AAAEACAYAAAC08h1NAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x9969ef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.axis([-2, 2, -10, 10])\n",
    "plt.axvspan(-1, 1); # 绘制一条垂直带（矩形），需要xmin、xmax参数指定水平带的宽度（xmin、xmax都是实际值）"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 坐标轴界限"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### axis方法\n",
    "如果axis方法没有任何参数，则返回当前坐标轴的上下限"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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335V27y59DXe8e7e0dKl04YVJrzpT6MQBNMZd+uCDxgvyu++WNj5MnCh9/OPSKaeUvkY6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\nd2DOwQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x953ceb8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "x = np.arange(1, 5)\n",
    "plt.plot(x, x*1.5, x, x*3.0, x, x/3.0)\n",
    "plt.axis() # shows the current axis limits values；如果axis方法没有任何参数，则返回当前坐标轴的上下限\n",
    "# (1.0, 4.0, 0.0, 12.0)\n",
    "plt.axis([0, 5, -1, 13]) # set new axes limits；axis方法中有参数，设置坐标轴的上下限；参数顺序为[xmin, xmax, ymin, ymax]\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "# 也可以用关键字参数进行设置\n",
    "plt.axis(xmin=NNN, ymax=NNN)"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### axis('tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0xa0963c8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "x = np.arange(1, 5)\n",
    "plt.plot(x, x*1.5, x, x*3.0, x, x/3.0)\n",
    "plt.axis('tight') # 紧凑型坐标轴\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### xlim方法和ylim方法"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x986c0b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "x = np.arange(1, 5)\n",
    "plt.plot(x, x*1.5, x, x*3.0, x, x/3.0)\n",
    "plt.xlim([0, 5]) # ylim([ymin, ymax])\n",
    "plt.ylim([-1, 13]) # xlim([xmin, xmax])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 坐标轴标签\n",
    "xlabel方法和ylabel方法"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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MrC13EGZm1pY7CDMza8sdhJmZteUOwszM2nIHYWZmbbmDMDOztv4/2B0k5nFN\nFk8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xafadba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "plt.plot([1, 3, 2, 4])\n",
    "plt.xlabel('This is the X axis')\n",
    "plt.ylabel('This is the Y axis')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 标题\n",
    "title方法"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0xb182278>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "plt.plot([1, 3, 2, 4])\n",
    "plt.title('Simple plot')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 图例"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### legend方法"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0xaf974e0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "x = np.arange(1, 5)\n",
    "plt.plot(x, x*1.5, label='Normal') # 在plot函数中增加label参数\n",
    "plt.plot(x, x*3.0, label='Fast')\n",
    "plt.plot(x, x/3.0, label='Slow')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0xb415438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "x = np.arange(1, 5)\n",
    "plt.plot(x, x*1.5)\n",
    "plt.plot(x, x*3.0)\n",
    "plt.plot(x, x/3.0)\n",
    "plt.legend(['Normal', 'Fast', 'Slow']) # 在legend方法中传入字符串列表\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0xb49be10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "x = np.arange(1, 5)\n",
    "plt.plot(x, x*1.5, label='_nolegend_') # label参数为'_nolegend_'，则图例中不显示\n",
    "plt.plot(x, x*3.0, label='Fast')\n",
    "plt.plot(x, x/3.0, label='Slow')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "##### loc参数"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "| 字符串       | 数值      | 字符串   |  数值 |\n",
    "| :-------------: |:-----------:| :-----:|  :-----:|\n",
    "| best        |  0        | center left   |   6 |\n",
    "| upper right    | 1        | center right  |   7  |\n",
    "| upper left    |  2        | lower center  |   8  |\n",
    "| lower left    |  3        | upper center  |   9 |\n",
    "| lower right   |  4        | center      |   10 |\n",
    "| right       |  5        |"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0xb0b1320>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "x = np.arange(1, 5)\n",
    "plt.plot(x, x*1.5, label='Normal')\n",
    "plt.plot(x, x*3.0, label='Fast')\n",
    "plt.plot(x, x/3.0, label='Slow')\n",
    "plt.legend(loc=0)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x8360a58>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "x = np.arange(1, 5)\n",
    "plt.plot(x, x*1.5, label='Normal')\n",
    "plt.plot(x, x*3.0, label='Fast')\n",
    "plt.plot(x, x/3.0, label='Slow')\n",
    "plt.legend(loc=(0,1)) # loc参数可以是2元素的元组，表示图例左下角的坐标\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x9db8ba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "x = np.arange(1, 5)\n",
    "plt.plot(x, x*1.5, label='Normal')\n",
    "plt.plot(x, x*3.0, label='Fast')\n",
    "plt.plot(x, x/3.0, label='Slow')\n",
    "plt.legend(loc=(-0.1,0.9)) # 图例也可以超过图的界限\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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1YLmXtfi4hkxCjcG2foLcolarKTY2llQqFcXExAjPo06nI51O12gh5QyJiYl2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\nBgqFQqFACQOFQqFQoISBQqFQKID/Bx6kh2LI5i7vAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xa3e2f28>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "plt.plot(randn(1000).cumsum(), 'k', label='one')   # 在添加subplot时传入label参数\n",
    "plt.plot(randn(1000).cumsum(), 'k--', label='two') # 要从图例中去除一个或多个元素，不传入label或传入label='_nolegend_'即可\n",
    "plt.plot(randn(1000).cumsum(), 'k.', label='three')\n",
    "plt.legend(loc='best') # loc='best'\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### ncol参数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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12Qs2NjZ2nE+lUkqlUkWsFqVEzIHyao/4T3+a1uOPp7VtmzR8eOGPV8z0ywhJT7n75zOX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\nog4ACULUASBB/h8U71z3uCT5+gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xa0a75c0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "x = np.arange(1, 5)\n",
    "plt.plot(x, x*1.5, label='Normal')\n",
    "plt.plot(x, x*3.0, label='Fast')\n",
    "plt.plot(x, x/3.0, label='Slow')\n",
    "plt.legend(loc=0, ncol=2) # ncol控制图例中有几列\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 保存图片"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "figure.savefig的选项\n",
    "+ fname  \n",
    "含有文件路径的字符串或Python的文件型对象。图像格式由文件扩展名推断得出，例如，.pdf推断出PDF，.png推断出PNG\n",
    "+ dpi  \n",
    "图像分辨率（每英寸点数），默认为100\n",
    "+ facecolor、edgecolor  \n",
    "图像的背景色，默认为“w”（白色）\n",
    "+ format  \n",
    "显式设置文件格式（“png”、“pdf”、“svg”、“ps”、“eps”……）\n",
    "+ bbox_inches  \n",
    "图表需要保存的部分。如果设置为“tight”，则将尝试剪除图表周围的空白部分"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 格式\n",
    "Matplotlib can generate high-quality output in a number formats, including PNG, JPG, EPS, SVG, PGF and PDF.  \n",
    "\n",
    "For scientific papers, I recommend using PDF whenever possible. (LaTeX documents compiled with `pdflatex` can include PDFs using the `includegraphics` command). In some cases, PGF can also be good alternative."
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "fig.savefig(\"filename.png\") # 通过扩展名来确定图片保存的格式"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "fig.savefig('figpath.svg') # 将图表保存为SVG文件，也可以用Figure对象的实例方法savefig"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### figsize参数和dpi参数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[6.0, 4.0]"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 查看matplotlib中的默认设置\n",
    "import matplotlib as mpl\n",
    "mpl.rcParams['figure.figsize'] # figsize以英尺为单位，matplotlib中其他参数都以点为单位"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "72.0"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mpl.rcParams['savefig.dpi']"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "plt.savefig('plot123_2.png', figsize=[8.0, 6.0], dpi=200) # 设置图片尺寸为8英尺*6英尺，dpi为200"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### bbox_inches参数"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "fig.savefig('figpath.png', dpi=400, bbox_inches='tight') # dpi控制“每英寸点数”分辨率，bbox_inches控制图表周围的空白部分（'tight'最小白边）"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 写入其他文件型对象"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "from io import BytesIO\n",
    "buffer = BytesIO()\n",
    "plt.savefig(buffer) # savefig可以写入任何文件型的对象，比如StringIO\n",
    "plot_data = buffer.getvalue()"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 互动模式\n",
    "If we are in interactive mode, then the figure is redrawn on every plot command. If we are not in interactive mode, a figure state is updated on every plot command, but the figure is actually drawn only when an explicit call to draw() or show() is made."
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "import matplotlib as mpl\n",
    "mpl.rcParams['interactive'] # 查看当前模式"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "mpl.interactive(False) # 取消互动模式\n",
    "mpl.rcParams['interactive']"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### plot后不打印plot对象"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "In [1]: import matplotlib.pyplot as plt\n",
    "In [2]: plt.plot([1, 2])\n",
    "Out[2]: [<matplotlib.lines.Line2D object at 0x26abfd0>]\n",
    "In [3]: plt.plot([2, 1]); # 添加;分号，则不会再打印plot对象\n",
    "In [4]:\n",
    "We can see that at line [2] we got an output from plot(), while on line [3], which is using the semicolon, the output is suppressed."
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 配置matplotlib参数"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 永久配置  \n",
    "matplotlib配置信息是从配置文件读取的。在配置文件中可以为matplotlib的几乎所有属性指定永久有效的默认值\n",
    "##### 安装级配置文件（Per installation configuration file)\n",
    "+ Python的site-packages目录下（site-packages/matplotlib/mpl-data/matplotlibrc）\n",
    "    + 系统级配置，每次重新安装matplotlib后，配置文件会被覆盖\n",
    "    + 如果希望保持持久有效的配置，最好选择在用户级配置文件中进行设置\n",
    "    + 对本配置文件的最佳应用方式，是将其作为默认配置模板\n",
    "\n",
    "#####  用户级.matplotlib/matplotlibrc文件（Per user .matplotlib/matplotlibrc）\n",
    "+ 用户的Documents and Settings目录  \n",
    "    + 可以用matplotlib.get_configdir()命令来找到当前用户的配置文件目录\n",
    "    \n",
    "##### 当前工作目录\n",
    "+ 代码运行的目录  \n",
    "    + 在当前目录下，可以为目录所包含的当前项目代码定制matplotlib配置项。配置文件的文件名是matplotlibrc"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "在Windows系统中，没有全局配置文件，用户配置文件的位置在**C:\\Documents and Settings\\yourname\\\\.matplotlib**。  \n",
    "在Linux系统中，全局配置文件的位置在**/etc/matplotlibrc**，用户配置文件的位置在**$HOME/.matplotlib/matplotlibrc**。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 动态配置\n",
    "##### 程序中配置代码  \n",
    "To finetune settings only for that execution; this overwrites every configuration file."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "配置方法的优先级为：\n",
    "+ Matplotlib functions in Python code\n",
    "+ matplotlibrc file in the current directory\n",
    "+ User matplotlibrc file\n",
    "+ Global matplotlibrc file"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### rcParams方法\n",
    "通过rcParams字典访问并修改所有已经加载的配置项"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "RcParams({u'agg.path.chunksize': 0,\n",
       "          u'animation.avconv_args': [],\n",
       "          u'animation.avconv_path': u'avconv',\n",
       "          u'animation.bitrate': -1,\n",
       "          u'animation.codec': u'mpeg4',\n",
       "          u'animation.convert_args': [],\n",
       "          u'animation.convert_path': u'convert',\n",
       "          u'animation.ffmpeg_args': [],\n",
       "          u'animation.ffmpeg_path': u'ffmpeg',\n",
       "          u'animation.frame_format': u'png',\n",
       "          u'animation.html': u'none',\n",
       "          u'animation.mencoder_args': [],\n",
       "          u'animation.mencoder_path': u'mencoder',\n",
       "          u'animation.writer': u'ffmpeg',\n",
       "          u'axes.axisbelow': False,\n",
       "          u'axes.edgecolor': u'k',\n",
       "          u'axes.facecolor': u'w',\n",
       "          u'axes.formatter.limits': [-7, 7],\n",
       "          u'axes.formatter.use_locale': False,\n",
       "          u'axes.formatter.use_mathtext': False,\n",
       "          u'axes.formatter.useoffset': True,\n",
       "          u'axes.grid': False,\n",
       "          u'axes.grid.axis': u'both',\n",
       "          u'axes.grid.which': u'major',\n",
       "          u'axes.hold': True,\n",
       "          u'axes.labelcolor': u'k',\n",
       "          u'axes.labelpad': 5.0,\n",
       "          u'axes.labelsize': u'medium',\n",
       "          u'axes.labelweight': u'normal',\n",
       "          u'axes.linewidth': 1.0,\n",
       "          u'axes.prop_cycle': cycler(u'color', [u'b', u'g', u'r', u'c', u'm', u'y', u'k']),\n",
       "          u'axes.spines.bottom': True,\n",
       "          u'axes.spines.left': True,\n",
       "          u'axes.spines.right': True,\n",
       "          u'axes.spines.top': True,\n",
       "          u'axes.titlesize': u'large',\n",
       "          u'axes.titleweight': u'normal',\n",
       "          u'axes.unicode_minus': True,\n",
       "          u'axes.xmargin': 0.0,\n",
       "          u'axes.ymargin': 0.0,\n",
       "          u'axes3d.grid': True,\n",
       "          u'backend': 'module://ipykernel.pylab.backend_inline',\n",
       "          u'backend.qt4': u'PyQt4',\n",
       "          u'backend.qt5': u'PyQt5',\n",
       "          u'backend_fallback': True,\n",
       "          u'boxplot.bootstrap': None,\n",
       "          u'boxplot.boxprops.color': u'b',\n",
       "          u'boxplot.boxprops.linestyle': u'-',\n",
       "          u'boxplot.boxprops.linewidth': 1.0,\n",
       "          u'boxplot.capprops.color': u'k',\n",
       "          u'boxplot.capprops.linestyle': u'-',\n",
       "          u'boxplot.capprops.linewidth': 1.0,\n",
       "          u'boxplot.flierprops.color': u'b',\n",
       "          u'boxplot.flierprops.linestyle': u'none',\n",
       "          u'boxplot.flierprops.linewidth': 1.0,\n",
       "          u'boxplot.flierprops.marker': u'+',\n",
       "          u'boxplot.flierprops.markeredgecolor': u'k',\n",
       "          u'boxplot.flierprops.markerfacecolor': u'b',\n",
       "          u'boxplot.flierprops.markersize': 6.0,\n",
       "          u'boxplot.meanline': False,\n",
       "          u'boxplot.meanprops.color': u'r',\n",
       "          u'boxplot.meanprops.linestyle': u'-',\n",
       "          u'boxplot.meanprops.linewidth': 1.0,\n",
       "          u'boxplot.medianprops.color': u'r',\n",
       "          u'boxplot.medianprops.linestyle': u'-',\n",
       "          u'boxplot.medianprops.linewidth': 1.0,\n",
       "          u'boxplot.notch': False,\n",
       "          u'boxplot.patchartist': False,\n",
       "          u'boxplot.showbox': True,\n",
       "          u'boxplot.showcaps': True,\n",
       "          u'boxplot.showfliers': True,\n",
       "          u'boxplot.showmeans': False,\n",
       "          u'boxplot.vertical': True,\n",
       "          u'boxplot.whiskerprops.color': u'b',\n",
       "          u'boxplot.whiskerprops.linestyle': u'--',\n",
       "          u'boxplot.whiskerprops.linewidth': 1.0,\n",
       "          u'boxplot.whiskers': 1.5,\n",
       "          u'contour.corner_mask': True,\n",
       "          u'contour.negative_linestyle': u'dashed',\n",
       "          u'datapath': u'C:\\\\Anaconda2\\\\lib\\\\site-packages\\\\matplotlib\\\\mpl-data',\n",
       "          u'docstring.hardcopy': False,\n",
       "          u'errorbar.capsize': 3.0,\n",
       "          u'examples.directory': u'',\n",
       "          u'figure.autolayout': False,\n",
       "          u'figure.dpi': 80.0,\n",
       "          u'figure.edgecolor': (1, 1, 1, 0),\n",
       "          u'figure.facecolor': (1, 1, 1, 0),\n",
       "          u'figure.figsize': [6.0, 4.0],\n",
       "          u'figure.frameon': True,\n",
       "          u'figure.max_open_warning': 20,\n",
       "          u'figure.subplot.bottom': 0.125,\n",
       "          u'figure.subplot.hspace': 0.2,\n",
       "          u'figure.subplot.left': 0.125,\n",
       "          u'figure.subplot.right': 0.9,\n",
       "          u'figure.subplot.top': 0.9,\n",
       "          u'figure.subplot.wspace': 0.2,\n",
       "          u'figure.titlesize': u'medium',\n",
       "          u'figure.titleweight': u'normal',\n",
       "          u'font.cursive': [u'Apple Chancery',\n",
       "                            u'Textile',\n",
       "                            u'Zapf Chancery',\n",
       "                            u'Sand',\n",
       "                            u'Script MT',\n",
       "                            u'Felipa',\n",
       "                            u'cursive'],\n",
       "          u'font.family': [u'sans-serif'],\n",
       "          u'font.fantasy': [u'Comic Sans MS',\n",
       "                            u'Chicago',\n",
       "                            u'Charcoal',\n",
       "                            u'ImpactWestern',\n",
       "                            u'Humor Sans',\n",
       "                            u'fantasy'],\n",
       "          u'font.monospace': [u'Bitstream Vera Sans Mono',\n",
       "                              u'DejaVu Sans Mono',\n",
       "                              u'Andale Mono',\n",
       "                              u'Nimbus Mono L',\n",
       "                              u'Courier New',\n",
       "                              u'Courier',\n",
       "                              u'Fixed',\n",
       "                              u'Terminal',\n",
       "                              u'monospace'],\n",
       "          u'font.sans-serif': [u'Bitstream Vera Sans',\n",
       "                               u'DejaVu Sans',\n",
       "                               u'Lucida Grande',\n",
       "                               u'Verdana',\n",
       "                               u'Geneva',\n",
       "                               u'Lucid',\n",
       "                               u'Arial',\n",
       "                               u'Helvetica',\n",
       "                               u'Avant Garde',\n",
       "                               u'sans-serif'],\n",
       "          u'font.serif': [u'Bitstream Vera Serif',\n",
       "                          u'DejaVu Serif',\n",
       "                          u'New Century Schoolbook',\n",
       "                          u'Century Schoolbook L',\n",
       "                          u'Utopia',\n",
       "                          u'ITC Bookman',\n",
       "                          u'Bookman',\n",
       "                          u'Nimbus Roman No9 L',\n",
       "                          u'Times New Roman',\n",
       "                          u'Times',\n",
       "                          u'Palatino',\n",
       "                          u'Charter',\n",
       "                          u'serif'],\n",
       "          u'font.size': 10.0,\n",
       "          u'font.stretch': u'normal',\n",
       "          u'font.style': u'normal',\n",
       "          u'font.variant': u'normal',\n",
       "          u'font.weight': u'normal',\n",
       "          u'grid.alpha': 1.0,\n",
       "          u'grid.color': u'k',\n",
       "          u'grid.linestyle': u':',\n",
       "          u'grid.linewidth': 0.5,\n",
       "          u'image.aspect': u'equal',\n",
       "          u'image.cmap': u'jet',\n",
       "          u'image.composite_image': True,\n",
       "          u'image.interpolation': u'bilinear',\n",
       "          u'image.lut': 256,\n",
       "          u'image.origin': u'upper',\n",
       "          u'image.resample': False,\n",
       "          u'interactive': True,\n",
       "          u'keymap.all_axes': [u'a'],\n",
       "          u'keymap.back': [u'left', u'c', u'backspace'],\n",
       "          u'keymap.forward': [u'right', u'v'],\n",
       "          u'keymap.fullscreen': [u'f', u'ctrl+f'],\n",
       "          u'keymap.grid': [u'g'],\n",
       "          u'keymap.home': [u'h', u'r', u'home'],\n",
       "          u'keymap.pan': [u'p'],\n",
       "          u'keymap.quit': [u'ctrl+w', u'cmd+w'],\n",
       "          u'keymap.save': [u's', u'ctrl+s'],\n",
       "          u'keymap.xscale': [u'k', u'L'],\n",
       "          u'keymap.yscale': [u'l'],\n",
       "          u'keymap.zoom': [u'o'],\n",
       "          u'legend.borderaxespad': 0.5,\n",
       "          u'legend.borderpad': 0.4,\n",
       "          u'legend.columnspacing': 2.0,\n",
       "          u'legend.edgecolor': u'inherit',\n",
       "          u'legend.facecolor': u'inherit',\n",
       "          u'legend.fancybox': False,\n",
       "          u'legend.fontsize': u'large',\n",
       "          u'legend.framealpha': None,\n",
       "          u'legend.frameon': True,\n",
       "          u'legend.handleheight': 0.7,\n",
       "          u'legend.handlelength': 2.0,\n",
       "          u'legend.handletextpad': 0.8,\n",
       "          u'legend.isaxes': True,\n",
       "          u'legend.labelspacing': 0.5,\n",
       "          u'legend.loc': u'upper right',\n",
       "          u'legend.markerscale': 1.0,\n",
       "          u'legend.numpoints': 2,\n",
       "          u'legend.scatterpoints': 3,\n",
       "          u'legend.shadow': False,\n",
       "          u'lines.antialiased': True,\n",
       "          u'lines.color': u'b',\n",
       "          u'lines.dash_capstyle': u'butt',\n",
       "          u'lines.dash_joinstyle': u'round',\n",
       "          u'lines.linestyle': u'-',\n",
       "          u'lines.linewidth': 1.0,\n",
       "          u'lines.marker': u'None',\n",
       "          u'lines.markeredgewidth': 0.5,\n",
       "          u'lines.markersize': 6.0,\n",
       "          u'lines.solid_capstyle': u'projecting',\n",
       "          u'lines.solid_joinstyle': u'round',\n",
       "          u'markers.fillstyle': u'full',\n",
       "          u'mathtext.bf': u'serif:bold',\n",
       "          u'mathtext.cal': u'cursive',\n",
       "          u'mathtext.default': u'it',\n",
       "          u'mathtext.fallback_to_cm': True,\n",
       "          u'mathtext.fontset': u'cm',\n",
       "          u'mathtext.it': u'serif:italic',\n",
       "          u'mathtext.rm': u'serif',\n",
       "          u'mathtext.sf': u'sans\\\\-serif',\n",
       "          u'mathtext.tt': u'monospace',\n",
       "          u'nbagg.transparent': True,\n",
       "          u'patch.antialiased': True,\n",
       "          u'patch.edgecolor': u'k',\n",
       "          u'patch.facecolor': u'b',\n",
       "          u'patch.linewidth': 1.0,\n",
       "          u'path.effects': [],\n",
       "          u'path.simplify': True,\n",
       "          u'path.simplify_threshold': 0.1111111111111111,\n",
       "          u'path.sketch': None,\n",
       "          u'path.snap': True,\n",
       "          u'pdf.compression': 6,\n",
       "          u'pdf.fonttype': 3,\n",
       "          u'pdf.inheritcolor': False,\n",
       "          u'pdf.use14corefonts': False,\n",
       "          u'pgf.debug': False,\n",
       "          u'pgf.preamble': [],\n",
       "          u'pgf.rcfonts': True,\n",
       "          u'pgf.texsystem': u'xelatex',\n",
       "          u'plugins.directory': u'.matplotlib_plugins',\n",
       "          u'polaraxes.grid': True,\n",
       "          u'ps.distiller.res': 6000,\n",
       "          u'ps.fonttype': 3,\n",
       "          u'ps.papersize': u'letter',\n",
       "          u'ps.useafm': False,\n",
       "          u'ps.usedistiller': False,\n",
       "          u'savefig.bbox': None,\n",
       "          u'savefig.directory': u'~',\n",
       "          u'savefig.dpi': 72.0,\n",
       "          u'savefig.edgecolor': u'w',\n",
       "          u'savefig.facecolor': u'w',\n",
       "          u'savefig.format': u'png',\n",
       "          u'savefig.frameon': True,\n",
       "          u'savefig.jpeg_quality': 95,\n",
       "          u'savefig.orientation': u'portrait',\n",
       "          u'savefig.pad_inches': 0.1,\n",
       "          u'savefig.transparent': False,\n",
       "          u'svg.fonttype': u'path',\n",
       "          u'svg.image_inline': True,\n",
       "          u'svg.image_noscale': False,\n",
       "          u'text.antialiased': True,\n",
       "          u'text.color': u'k',\n",
       "          u'text.dvipnghack': None,\n",
       "          u'text.hinting': u'auto',\n",
       "          u'text.hinting_factor': 8,\n",
       "          u'text.latex.preamble': [],\n",
       "          u'text.latex.preview': False,\n",
       "          u'text.latex.unicode': False,\n",
       "          u'text.usetex': False,\n",
       "          u'timezone': u'UTC',\n",
       "          u'tk.window_focus': False,\n",
       "          u'toolbar': u'toolbar2',\n",
       "          u'verbose.fileo': u'sys.stdout',\n",
       "          u'verbose.level': u'silent',\n",
       "          u'webagg.open_in_browser': True,\n",
       "          u'webagg.port': 8988,\n",
       "          u'webagg.port_retries': 50,\n",
       "          u'xtick.color': u'k',\n",
       "          u'xtick.direction': u'in',\n",
       "          u'xtick.labelsize': u'medium',\n",
       "          u'xtick.major.pad': 4.0,\n",
       "          u'xtick.major.size': 4.0,\n",
       "          u'xtick.major.width': 0.5,\n",
       "          u'xtick.minor.pad': 4.0,\n",
       "          u'xtick.minor.size': 2.0,\n",
       "          u'xtick.minor.visible': False,\n",
       "          u'xtick.minor.width': 0.5,\n",
       "          u'ytick.color': u'k',\n",
       "          u'ytick.direction': u'in',\n",
       "          u'ytick.labelsize': u'medium',\n",
       "          u'ytick.major.pad': 4.0,\n",
       "          u'ytick.major.size': 4.0,\n",
       "          u'ytick.major.width': 0.5,\n",
       "          u'ytick.minor.pad': 4.0,\n",
       "          u'ytick.minor.size': 2.0,\n",
       "          u'ytick.minor.visible': False,\n",
       "          u'ytick.minor.width': 0.5})"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 显示当前的默认配置\n",
    "import matplotlib as mpl\n",
    "mpl.rcParams"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "# 配置语句格式\n",
    "mpl.rcParams['<param name>'] = <value>"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "# 将figure size设置为4*3英尺\n",
    "mpl.rcParams['figure.figsize'] = (4, 3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### rc方法\n",
    "通过matplotlib.rc()传入属性的关键字元组，一条语句中修改多个配置项"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "# 一个配置对象\n",
    "mpl.rc(('figure', 'savefig'), facecolor='r')\n",
    "\n",
    "# 等同于:\n",
    "# mpl.rcParam['figure.facecolor'] = 'r'\n",
    "# mpl.rcParam['savefig.facecolor'] = 'r'"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "# 两个配置对象\n",
    "mpl.rc('lines', linewidth=4, color='b')\n",
    "\n",
    "# 等同于:\n",
    "# mpl.rcParam['line.linewidth'] = 4\n",
    "# mpl.rcParam['line.linecolor'] = 'b'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### rcsetup方法\n",
    "matplotlib.rcsetup contains the default Matplotlib parameter values and some validation functions to prevent spurious values from being used in a setting."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### rcdefaults方法\n",
    "重置所有配置"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "mpl.rcdefaults() # 重置动态修改后的配置参数，将配置重置为标准设置"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 设置代码的后端backend\n",
    "use方法"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "matplotlib.use()必须在首次import matplotlib后立即使用（在import pylab或pyplot之前）"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "import matplotlib as mpl\n",
    "mpl.use('Agg') # to render to file, or to not use a graphical display\n",
    "mpl.use('GTKAgg') # to render to a GTK UI window"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "## 设置plot的风格和样式\n",
    "plot语句中支持除X,Y以外的参数，以字符串形式存在，来控制颜色、线型、点型等要素，语法形式为：  \n",
    "plt.plot(X, Y, 'format', ...) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "### 点和线的样式"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 颜色\n",
    "参数color或c"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "##### 五种定义颜色值的方式\n",
    "+ 别名\n",
    "    + color='r'\n",
    "    \n",
    "    \n",
    "    \n",
    "+ 合法的HTML颜色名\n",
    "    + color = 'red'\n",
    "\n",
    "| 颜色       | 别名      | HTML颜色名  | 颜色   |  别名 |HTML颜色名|\n",
    "| :-------------: |:---------:|:-----------:| :------:|  :-----:| :-----:|\n",
    "| 蓝色        | b       | blue      | 绿色   |  g   |  green  |\n",
    "| 红色        | r       | red      | 黄色    |  y   |  yellow |\n",
    "| 青色        | c       | cyan      | 黑色   |  k   |  black  |\n",
    "| 洋红色      | m        | magenta    | 白色   |  w   |  white  |\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "+ HTML十六进制字符串\n",
    "    + color = '#eeefff'       \n",
    "\n",
    "\n",
    "\n",
    "\n",
    "+ 归一化到[0, 1]的RGB元组\n",
    "    + color = (0.3, 0.3, 0.4)\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "+ 灰度\n",
    "    + color = (0.1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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pkgz5FrGlS1rIkG8oW7qkIgz5hrClSxqGIV9DtnRJ42LI14AtXVJZDPmK2dIlVcmQL5kt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\nXpJazJCXpBb7f29esrpcN/wlAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xa2d91d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 别名和HTML颜色名\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "y = np.arange(1, 3)\n",
    "plt.plot(y, 'y'); # 后面加分号，则不打印plot对象\n",
    "plt.plot(y+1, 'magenta'); # 没有x，则x默认为[0, 1]\n",
    "plt.plot(y+2, 'cyan'); # 没有颜色参数时，plot为不同的曲线自动选择不同颜色，有颜色参数，则使用指定的颜色\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x980b3c8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# HTML颜色名和HTML十六进制字符串、归一化到[0, 1]的RGB元组\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "y = np.arange(1, 3)\n",
    "plt.plot(y, c=\"red\", alpha=0.5); # 设置半透明\n",
    "plt.plot(y+1, color=\"#1155dd\");  # RGB hex code for a bluish color\n",
    "plt.plot(y+2, color=\"#15cc55\");  # RGB hex code for a greenish color\n",
    "plt.plot(y+3, color=(0.1843, 0.3098, 0.3098)); # 归一化到[0, 1]的RGB元组\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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XLdnSpXmGvGrBli61Z8hr5NjSpeIMeVWeLV3qniGvSrGlS/1lyGuobOlSuQx5DYwtXRo8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\nUo0Z8pJUY/8P0VokcaKKfrsAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xb044c50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 灰度\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "y = np.arange(1, 3)\n",
    "plt.plot(y, c=\"0.1\");\n",
    "plt.plot(y+1, c=\"0.5\");\n",
    "plt.plot(y+2, c=\"0.9\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### 透明度\n",
    "alpha参数 "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0xb6b44a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 透明度\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "y = np.arange(1, 3)\n",
    "plt.plot(y, c=\"red\", alpha=0.1);    # 设置透明度\n",
    "plt.plot(y+1, c=\"red\", alpha=0.5);\n",
    "plt.plot(y+2, c=\"red\", alpha=0.9);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### 背景色\n",
    "设置背景色，通过向plt.axes()或者plt.subplot()方法传入axisbg参数，来设置坐标轴的背景色"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<matplotlib.figure.Figure at 0x96ec128>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "plt.subplot(111, axisbg=(0.1843, 0.3098, 0.3098));"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "#### 线型\n",
    "参数linestyle或ls"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "| 线条风格     | 描述      | 线条风格 |  描述 |\n",
    "| :-------------: |:------------:| :----:|  :-----:|\n",
    "| '-'        | 实线     | ':'     |  虚线 |\n",
    "| '--'       | 破折线    | 'steps'  |  阶梯线 |\n",
    "| '-.'       | 点划线    | 'None'，' '，'' |  什么都不画 |"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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6mDdPFS8iuUzDNQWmZV16065Gb74ZVMGISH5Rki8w48fHDr2oly6S35Tk80jz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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xafee320>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "y = np.arange(1, 3)\n",
    "plt.plot(y, '--', y+1, '-.', y+2, ':');\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### 线宽\n",
    "linewidth或lw参数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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M+TFnS5e6zZAfM7Z0abwY8h1mS5dkyHeILV3SXIZ8S9nSJRVhyLeELV3SMAz5BrKlSyqL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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xb02bb38>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "y = np.arange(1, 3)\n",
    "plt.plot(y, lw=1);\n",
    "plt.plot(y+1, lw=2);\n",
    "plt.plot(y+2, lw=3);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### 不同宽度的破折线\n",
    "dashes参数  \n",
    "设置破折号序列各段的宽度，如果seq为空或者seq=[None, None]，linestyle将被设置为solid"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0xabbf5f8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 第一段线2个点的宽度，接下来的空白区5个点的宽度，第二段线5个点的宽度，空白区2个点的宽度，以此类推\n",
    "plt.plot(np.linspace(-np.pi, np.pi, 256, endpoint=True), np.cos(np.linspace(-np.pi, np.pi, 256, endpoint=True)), dashes=[2, 5, 5, 2]);"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 点型\n",
    "marker参数"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "| 标记        | 描述       | 标记   |  描述 |\n",
    "| :-------------: |:-----------:| :----:|  :-----:|\n",
    "| '1'         | 一角朝下的三脚架      | '3'     |  一角朝左的三脚架 |\n",
    "| '2'         | 一角朝上的三脚架      | '4'     |  一角朝右的三脚架 |"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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qK3NTpHrrO0PPzO8Az/UZ1nd/pEafDV2qt2GdFD03IsYjYltEnDmk15QkDWAYJ0XvB5Zm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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xb9048d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "y = np.arange(1, 3, 0.2)\n",
    "plt.plot(y, '1', y+0.5, '2', y+1, '3', y+1.5, '4');\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "| 标记        | 描述       | 标记   |  描述 |\n",
    "| :-------------: |:-----------:| :----:|  :-----:|\n",
    "| 'v'         | 一角朝下的三角形      | '<'     |  一角朝左的三角形 |\n",
    "| '^'         | 一角朝上的三角形      | '>'     |  一角朝右的三角形 |"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0xa1078d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "y = np.arange(1, 3, 0.2)\n",
    "plt.plot(y, 'v', y+0.5, '^', y+1, '<', y+1.5, '>');\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "| 标记        | 描述       | 标记   |  描述 |\n",
    "| :-------------: |:-----------:| :----:|  :-----:|\n",
    "| 's'         | 正方形   | 'p'   | 五边形     | \n",
    "| 'h'         | 六边形1    | 'H'     | 六边形2    |\n",
    "| '8'         | 八边形     | "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x9a98ac8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "y = np.arange(1, 3, 0.2)\n",
    "plt.plot(y, 's', y+0.5, 'p', y+1, 'h', y+1.5, 'H', y+2, '8');\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "| 标记        | 描述       | 标记   |  描述 |\n",
    "| :-------------: |:-----------:| :----:|  :-----:|\n",
    "| '.'     |  点 | 'x'   | X   |\n",
    "| '\\*'    |  星号  | '+'         | 加号       |\n",
    "| ','         | 像素       |"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Cyxat1FqvZu9EppkbuhWQY/Zm7VW6oftK9sXkq9mbtVfpOXRH7K0KHLEvPs+hD8MRe6sK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\npwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x837d0f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "y = np.arange(1, 3, 0.2)\n",
    "plt.plot(y, '.', y+0.5, 'x', y+1, '*', y+1.5, '+', y+2, ',');\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "| 标记        | 描述       | 标记   |  描述 |\n",
    "| :-------------: |:-----------:| :----:|  :-----:|\n",
    "| 'o'         | 圆圈      | 'D'         | 菱形      |\n",
    "| 'd'    |  小菱形  |'','None',' ',None| 无       | "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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xYzlskP6ca3/dtHAhMxsauPnAAQVhxUhnZopWufSuufldliy5t+DjNUIvsdz8lF9+9BHn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\nE50E8M3BuQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x9a79a90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "y = np.arange(1, 3, 0.2)\n",
    "plt.plot(y, 'o', y+0.5, 'D', y+1, 'd');\n",
    "plt.plot(y+1.5, marker=\"None\");\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "| 标记     | 描述     | 标记   |  描述 |\n",
    "| :--------: |:----------:| :------:| :----:|\n",
    "| '\\_'     |  水平线   | '|'    | 竖线  |"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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917MReDXwZ11dx4Hf77ekkSQvBK4CPjkHtfwYo1mDcxlNv5yV5Df7rKmqjgB/BNwF3AEc\nAL6/3HPWKtAfA85ZtL6lu09LdB/3bgP+sqr+vu96Fus+qt8DXNFzKZcDVyV5mNHe3euT3NpzTQBU\n1X93X/8H+BSj6cY+fR14tKr+tVu/jVHAz4MdwH3de9W3NwAPV9UT3fTG3wG/1HNNVNUtVfWLVTUA\njgFfXW78WgX6vcBPJTm3O3L8FkYXJPVt3vbuAD4CHK6q9/ddCECSlyfZ1C2fAbwRONJnTVV1U1Wd\nU1XnMfpZuruqru2zJoAkZ3afrkjyIuBXGH1s7k2NLvJ7NMmF3V2/DBzusaTFfoM5mG7pPAJcluRH\nkoTR+/RAzzWR5Me7r+cAvwZ8fLnx014p+rxU1feTvIPRUdoNwIerqtc3a9wFU88cOOqxpsuBtwKH\nujnrAm6qqn/osaxXAh9NsoHR925PVd3RYz3zbDPwqa7FxUbgY1X1uZ5rArgB+Fg3xfEwc3DxXzcn\n/Abgt/uuBaCqvpTkNkbTGk93X3f3WxUAf5vkpYxq+p1JB7S9sEiSGuFBUUlqhIEuSY0w0CWpEQa6\nJDXCQJekRhjoktQIA12SGmGgS1Ij/g/JV6m8ZT1WYAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x9a79cf8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "y = np.arange(1, 3, 0.2)\n",
    "plt.plot(y, '_', y+1, '|');\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### MATLAB风格的参数\n",
    "颜色、点型、线型"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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6KYN2c35ftX0X6UrfRZy+i7hY7qw3D7dUWeY4YK27f+LuZcCTwLk1dxo7fmyt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\nsq8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xb1177f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "x = np.linspace(0, 5, 10)\n",
    "plt.plot(x, x**2, 'b^:') # blue line with dots\n",
    "plt.plot(x, x**3, 'go-.') # green dashed line\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 更多点和线的设置"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "| 参数        | 描述       | 参数       |  描述   |\n",
    "| :-------------: |:-----------:| :-------------:|  :------:|\n",
    "| color或c      | 线的颜色   | linestyle或ls  |  线型   |\n",
    "| linewidth或lw   | 线宽     | marker       |  点型  |\n",
    "| markeredgecolor  | 点边缘的颜色 | markeredgewidth | 点边缘的宽度 |\n",
    "| markerfacecolor  | 点内部的颜色 | markersize    |  点的大小    |"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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I/vfLVi5uiu4FrE15/WayrV+HANNSXt95Zz2RSA6iEREZpnydtnh6ynFTU5Nv\ncYiIBEFWs1zMbB/gsUw3Rc3sduAp59wDydcrgInOuXczjC38A0VFRAIgm5ui2e5LaMk/mSwEzgEe\nMLMvA+szJfNsAxIRkaEZMKGb2f1ANVBhZmuAK4AdAOecu8M591szO8LMVuJNWzw1nwGLiEhmBV1Y\nJCIi+VOwm6JmNtnMVpjZ/5nZ9wv1uYVgZvPM7F0za/Y7llwzs7FmttjMXjOzV83sXL9jyiUzG2Vm\nz5vZy8nvd4XfMeWDmZWZ2Z/MbKHfseSamf3VzP6c/P/wBb/jyTUz29XMHjKz5cm/hxP6HFuIK3Qz\nKwP+DzgMeAt4ETjBObci7x9eAGZ2KLAZuLev1bSlysz2APZwzr1iZrsALwFHB+X/OwAz28k5125m\nIaAJONc5F6jEYGbnA18Cyp1zR/kdTy6Z2evAl5xz/a2XKVlm9nPgD865u81sBLCTc25jprGFukI/\nGGh1zq12zm0FfoW3ICkQslh8VbKcc+90beXgnNuMt9h3wHUGpcQ517U13Ci8+0qBqkOa2VjgCOAu\nv2PJE6OId47dHmZWDnzFOXc3gHPuo76SORTuf4Sei4/+RsCSwnBgZp8CvgA8728kuZUsR7wMvAP8\n3jn3ot8x5dhs4EIC9osqhQN+b2YvmtmZfgeTY58G/mlmdydLZneY2Y59DQ7kbzXJvWS5ZQFwXvJK\nPTCcc53OuS8CY4EJZhaYNctmVoO3sd4r9D/9uJRFnXMH4f0r5JxkCTQoRgAHAXOT37EduLivwYVK\n6G8Cn0x5PTbZJiUgWbdbANznnHvU73jyJflP2aeAyX7HkkNR4KhknfmXwCQzu9fnmHLKOfd28uc/\ngIfxSrxB8TdgrXPuj8nXC/ASfEaFSugvAp81s33MbAfgBLwFSUES1KsfgJ8BLc65n/gdSK6Z2b+a\n2a7J4x2BrwGBueHrnLvEOfdJ59xn8P7eLXbOneJ3XLliZjsl//WIme0MfB34i79R5U5ykeZaMxuX\nbDoMaOlrfLYrRbc3qISZTQMex/slMs85t7wQn10ImRZfdd3EKHVmFgVOAl5N1pkdcIlzbpG/keXM\nJ4B7kjOxyoAHnHO/9Tkmyd7uwMPJbUVGAPOdc4/7HFOunQvMN7ORwOv0s3hTC4tERAJCN0VFRAJC\nCV1EJCCU0EVEAkIJXUQkIJTQRUQCQgldRCQglNBFRAJCCV1EJCD+P8CE8Y3J5hRbAAAAAElFTkSu\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xb307588>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "y = np.arange(1, 3, 0.3)\n",
    "plt.plot(y, color='blue', linestyle='dashdot', linewidth=4, marker='o', markerfacecolor='red', markeredgecolor='black', markeredgewidth=3, markersize=12);\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 在一条语句中为多个曲线进行设置"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### 多个曲线同一设置\n",
    "plt.plot(x1, y1, x2, y2, fmt, ...)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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wqczc0mIuQ1491a6lT05MMrlo0paukebDUBobtnSNI0NelWRLl6YZ8qoEW7rUnCGvkWNL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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xb307550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "y = np.arange(1, 3)\n",
    "x = np.arange(1, 3)\n",
    "plt.plot(x, y, x, y+1, x, y+2, color='green'); # 为多个曲线设置同一颜色\n",
    "plt.xlim([1, 2])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### 多个曲线不同设置\n",
    "plt.plot(x1, y1, fmt1, x2, y2, fmt2, ...)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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zwIcy88EFzmXIq6c6tfSJiblgt6VrmHkzlEaGLV2jyJBXLdnSpTmGvGrBli61Z8hr6NjS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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xb3077b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "y = np.arange(1, 3)\n",
    "plt.plot(y, 'y', y+1, 'm', y+2, 'c'); # 为多个曲线设置不同颜色\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 三种设置方式"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### 向方法传入关键字参数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0xab9cba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, y, linewidth=1.5);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### 对实例使用一系列的setter方法"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x967ccc0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "line, = plt.plot(x, y)\n",
    "#  plt.plot(x, y)返回的是list\n",
    "# line = plt.plot(x, y)，则line是list\n",
    "# line, = plt.plot(x, y)，则line是matplotlib.lines.Line2D实例，所以line后面有个逗号\n",
    "line.set_linewidth(1.5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### 使用setp()方法"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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KksYzdMgnuQPoAecleQo4DCwBVVVHquo/knwwyU+BF4AbJrlhSdLoRjqukSS1U+PveJ3k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\n80CHNcJshQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x9ab14e0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "line = plt.plot(x, y)\n",
    "plt.setp(line, 'linewidth', 1.5);"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### X、Y轴坐标刻度\n",
    "xticks()和yticks()方法"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXkAAAEACAYAAABWLgY0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nqbH/BTlbs8dE2Xm9AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x9dc2278>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "locs, labels = plt.xticks() # 不传入任何参数，xticks()会返回当前刻度的位置和标签"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 0.   0.2  0.4  0.6  0.8  1. ]\n",
      "Text(0,0,u'0.0') Text(0.2,0,u'0.2') Text(0.4,0,u'0.4') Text(0.6,0,u'0.6') Text(0.8,0,u'0.8') Text(1,0,u'1.0')\n"
     ]
    }
   ],
   "source": [
    "print locs\n",
    "for label in labels:\n",
    "    print label,"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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d7mjP5VmJnF9o3+nTwEUXAevWAUOG2I4m3k6cAL79beDznweeeMJbEfy114BrrtEml759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\n/weV6jXtfFoAcAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x9a584e0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "x = [5, 3, 7, 2, 4, 1]\n",
    "plt.plot(x);\n",
    "plt.xticks(range(len(x)), ['a', 'b', 'c', 'd', 'e', 'f']); # 传入位置和标签参数，以修改坐标轴刻度\n",
    "plt.yticks(range(1, 8, 2));\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 面向对象方法\n",
    "set_xticks、set_yticks、set_xticklabels、set_yticklabels方法"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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vR/fisR5O6nUSr178Kn3S+rhdWpuiICciIiIhtadsD1e9dRUfbPoAgDtG3cGMM2YQGx3r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\nRCLU/wcM8bD1lc6sDgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xb02bda0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "fig = plt.figure(figsize=(10, 4))\n",
    "ax = fig.add_subplot(111)\n",
    "\n",
    "x = np.linspace(0, 5, 100)\n",
    "\n",
    "ax.plot(x, x**2, x, x**3, lw=2)\n",
    "\n",
    "ax.set_xticks([1, 2, 3, 4, 5])\n",
    "ax.set_xticklabels([r'$\\alpha$', r'$\\beta$', r'$\\gamma$', r'$\\delta$', r'$\\epsilon$'], fontsize=18)\n",
    "\n",
    "yticks = [0, 50, 100, 150]\n",
    "ax.set_yticks(yticks)\n",
    "ax.set_yticklabels([\"$%.1f$\" % y for y in yticks], fontsize=18); # use LaTeX formatted labels"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 科学计数法"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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CpL+Ezz1a0uVmdsTBlwcAALqioooiXTr3Uj104UMa3nu43+XETKuClXNuqaTSVpw6VtI6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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xb1757b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "fig = plt.figure(figsize=(10, 4))\n",
    "ax = fig.add_subplot(111)\n",
    "\n",
    "x = np.linspace(0, 5, 100)\n",
    "      \n",
    "ax.plot(x, x**2, x, np.exp(x))\n",
    "ax.set_title(\"scientific notation\")\n",
    "\n",
    "ax.set_yticks([0, 50, 100, 150])\n",
    "\n",
    "from matplotlib import ticker\n",
    "formatter = ticker.ScalarFormatter(useMathText=True)\n",
    "formatter.set_scientific(True) \n",
    "formatter.set_powerlimits((-1,1)) \n",
    "ax.yaxis.set_major_formatter(formatter) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 设置坐标轴刻度标签到坐标轴的距离"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x982db70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib as mpl\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# distance between x and y axis and the numbers on the axes\n",
    "mpl.rcParams['xtick.major.pad'] = 20\n",
    "mpl.rcParams['ytick.major.pad'] = 20\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "x = [5, 3, 7, 2, 4, 1]\n",
    "plt.plot(x);\n",
    "plt.xticks(range(len(x)), ['a', 'b', 'c', 'd', 'e', 'f']); # 传入位置和标签参数，以修改坐标轴刻度\n",
    "plt.yticks(range(1, 8, 2));\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# restore defaults\n",
    "mpl.rcParams['xtick.major.pad'] = 3\n",
    "mpl.rcParams['ytick.major.pad'] = 3"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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mUtDd4Xr4dYZuGUrHkh1tR/EagYHQsaOMrbtLocyFeOnJlxi7c6zbjy2dug84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\nkZ/nP0VFaT1vntYvvqh10aLmemBEROy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      "text/plain": [
       "<matplotlib.figure.Figure at 0x9fd1668>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 例子\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "x = np.linspace(-np.pi, np.pi, 256, endpoint=True) # 生成-Pi到Pi之间具有相同线性距离的256个点\n",
    "\n",
    "y = np.cos(x) # 计算余弦值\n",
    "y1 = np.sin(x) # 计算正弦值\n",
    "\n",
    "plt.plot(x, y) # 绘制余弦图\n",
    "plt.plot(x, y1) # 绘制正弦图\n",
    "\n",
    "plt.title(\"Functions $\\sin$ and $\\cos$\") # LaTex语法，用$\\sin$、$\\cos$表达式在图表上写上希腊字母\n",
    "\n",
    "plt.xlim(-3.0, 3.0) # 设置x轴刻度的最大、最小值（当xticks的刻度-np.pi比xlim最小值-3.0更小时，以xticks为准）\n",
    "plt.ylim(-1.0, 1.0) # 设置y轴刻度的最大、最小值\n",
    "\n",
    "plt.xticks([-np.pi, -np.pi/2, 0, np.pi/2, np.pi],\n",
    "          [r'$-\\pi$', r'$-\\pi/2$', r'$0$', r'$+\\pi/2$', r'$+\\pi$']);# LaTex语法，用$-\\pi$等表达式在图表上写上希腊字母\n",
    "plt.yticks([-1, 0, +1],\n",
    "          [r'$-1$', r'$0$', r'$+1$']);# 设置x轴、y轴刻度及标签"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 其他2D图形"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 图形选择建议"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 61,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Image('chart suggestions.png')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 示例"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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cy5evqFeUkTI2wRtG+YhKNpZaErm+vj7mzp1Hf38Pb775OP39PcydO4++vr56\nxBkpU89J1qX8JVHVwf653YEVuIr2vcBnVPXNFPU0UkZEhgEP4U4g7wjcqqqLKtpMBe4AXvRP3aaW\nO7wViEo2FpuFgd3n7u7uQYd0ent7GTq0i/7+g/0zB7PTTp309vaaq6ZO1q5dy9q1a1ORlXiTVUQO\nB94GlgUm+G8Cv1fVb4nIxcDuqnpJxXW2yVoQAptxu6jLKLgD8AvgXFV9JNBuKnChqn66hqxSbMQt\nXNj6kTRhm3EisgD4o6p+J/DcNUCPqq7wjzcCUyvzDMWxbV9fH52d4+jv7wEOBp6ko2MamzZttAk+\nJTI96KQhBT9wPr2b/P2bgOPrUcbIFvUZBYFhuFV82Ghui8IQrT65DxAn2RgpJpEbOXIkS5cuoaNj\nGiNGTKCjYxpLly6xyb0gpBVFs9fAF0RVXxeRvVKSazQRERmCyw2+L3C1qj4a0uwwEdmA89NepKqh\n5f2MwhCZbCztJHInn3wiRx11hEXRFJBmhUmG/q5bGLjfTfOTiRmOaj49dWUWD/FF0leKyAEVE3is\nwhBRflqjOYTZNU6yMf841SRyI0eOtIm9gNR10ElEOoG7Aj7453Bxt5tFZDTOv/fXFdeYD74gVPHV\n/iPwTtBXG3LdS8ChwdzhZfHBlwFLNlZO8kg2tl3BD5xP73R//zRc5IVRYETkr0RkN3+/A5gObKxo\nY4UhDKOFSTzB+4IfvwT2F5GXReQM4BvAdBH5DXCkf2wUmzFAj/evPwys8r7Zs0Tki77NHBF5WkSe\nAK6gxIUhyrLJahhBLBdNwj7KgOWiGUyZctH4+0OAx4DfVYa5xj3fUBbbtjqWi8YwjErOA54FRlR5\n/aFa5xuMcmCpCgyjZIjIWGAWcH2tZhmpY+SITfCGUT6+C1xElXBlz2EiskFE7haRAzLSy8gYm+AN\no0SIyGxcnqgNDI52G2DgfMN44Crc+QajhJgP3mgL9tgD/hCaHf0vSBWnxe67wxutExw6Bfi0iMwC\nOoCPiMgyVT11oIGqvh24f6+ILBGRPcJCYO0QW/bkmmys7o4siqYwtGMUTSNRMq0SYVNp12rJ4kRk\n1EBqEX++4Seq2hUiryVsW3YsisYwjJoEc9HgzjecDbwP9FPi8w3tjq3gE/ZRBmwFn921WWKpCspJ\nHqkKwpQ43596fFJEfiQiQ9OSbaSPiAwTkYdF5AkRecrnDQ9rt1hEnvcRF4OSWBmGUVxSmeBF5L8A\n/xOY4BNnYQIiAAAQjklEQVSQ7QiclIZsozmo6lZgmqoegss+ONP7Yz8kWJwZOAtXnNkwjBYhzTDJ\nHYDhIrIjsAvw7ynKNppAjIIfqRZnNgwjW1KZ4FX134FvAy/jCkNsUdUH0pBtNA8RGeITib0O3B9S\n8CO14syGYWRPKlE0IvJR3GqvE3gTuFVEPquqPw62Wxi4303rFfzoGj2aTZvrqmwWSueoUfS+/npq\n8qrRQMGPWFisdD7UipeulWzMv74YmImr6HS6PxhllIxUomhEZA5wjKqe6R9/HpgUrBpThiiaskTp\nxC34Eac4c6tEWrRbFI2InA8cCowIiYOfCcxX1dkiMgm4UlUnh8grjG37+vratiRgEaJoXgYmi8jO\nIiK4nPDPpSTbaAJxCn6QYnFmIztiJBtrqb2V5ctX0Nk5junTv0Rn5ziWL1+Rt0otQ1o++EeAW4En\ngF/jFqfXpSHbaBqRBT9U9R7gJV+c+VpgXn7qGgmISjbWMnsrfX19zJ07j/7+Ht5883H6+3uYO3ce\nfX19eavWEqR2klVVFwGL0pJnNBdVfQqYEPJ8U4szG80lmGxMRLppMC1w3vsrvb29DB3aRX//wf6Z\ng9lpp056e3tL66qxXDSYD76hfu0ka2bXZonzjvJ14BTgz/hkY7iKTacG2kXurfjnc7dtX18fnZ3j\n6O/vAQ4GnqSjYxqbNm0s7QRfSRF88IZhFABVvVRV91HVj+MOG64JTu6eltlbGTlyJEuXLqGjYxoj\nRkygo2MaS5cuaZvJvVFsBZ+gD1vBh8rKfZUXh3ZZwVfLJlmRbAwRuQqYgQuTPENV14fIK4xtLYqm\nvvFqE3yCPmyCD5VVmEmgFu04wacgryVsW3bMRWMYhmEMwiZ4wzCMkmITvGEYRkmxCd4wDKOkpDrB\ni8huInKLiDwnIs/4PBdGARGRsSKyxtvpKRE5N6TNVBHZIiLr/e2yPHQ14hOnkIvZtX1IuybrlcA9\nqvp3gbzwRjH5M3CBP/G4K/C4iKxW1cp8NA+FZSM0iomqbhWRaar6rojsAPxCRO716USCmF3bgDRL\n9o0APqmqNwKo6p9V9a205BvpoqqvD6SIVdW3ccnhwvKRpBZ2Z2RDjEIuYHZtC9J00fxX4D9F5Eb/\ns+86n6XQKDgi0oUr2/dwyMuH+Xqsd4vIAZkqZtRFjEIuYHZtC9J00eyIS151jqo+JiJXAJcAH/oA\nFwYad9N6BT9alYjCELviMoGe51fyQR4H9vE/92cCK4H9K2XknZAqDorUvWbVwL9FooFCLrHsCq1h\n27JRyGRjPp/0//M5MBCRw4GLVfVT/rGdZI2QnxUDJ+P8PslPgXtV9coY170EHKqqbwSea4nTju16\nkjWskEvIdYPs6p9vCduWnUKcZPXJil4RkYGVwJFA4vJvRqbcADxbbXIPFoEQkYm4BcEbYW2NYhCn\nkIvZtX1IO4rmXOBHIrIT8CJwRsryjZQQkSnA54CnvL9WgUtxdXUHklLNEZGzgfeBfuDEvPQ1YjMG\nuElcTdYhwIqBQi6YXdsOSzaWoI+yuWhSktUSP+Pb1UXToLyWsG3ZKYSLxjAMwygWNsEbhmGUFJvg\nDcMwSopN8IZRIuLkovHtFovI8/6w0/is9TSyIdMJXlK87TKknH+bukaPRkRSu3WNHp33WzIyRFW3\nAtNU9RDc6eSZPhTyQ/zhpn1V9RPAWcA12WtqZEHaYZIRpLcj/+62cqbS2LR5c7qROpsLWUvZaCIx\nctEcByzzbR/2WWBHFbXwdlaUse5rOZfBhtHGxMhF8zHglcDjVwlPNNc2LF++gs7OcUyf/iU6O8ex\nfPmKvFVKBZvgDaNkqOo276IZC0yyZGK16evrY+7cefT39/Dmm4/T39/D3Lnz6Ovry1u1hknVReNP\nzz0G/M5yTRcbERmL+5k+CtgG/JuqLg5ptxiYCbwDnD6QYtgoPqr6loj0ADPYPm3Iq8Degcdj/XOD\naIdkY729vQwd2kV//8H+mYPZaadOent7c3HVFDLZGICInA8cCoyonOBFRNPNyCelPMmaVR+4I+2j\ngwU/gOOCBT/8Ztx8VZ0trjrXlao6uUJWS5x2bJeTrMBI4H1VfdPnolkFfENV7wm0m4XL+jpbRCYD\nV1Ta1bdrCds2Sl9fH52d4+jv7wEOBp6ko2MamzZtLIQvvhAnWf2KcBZwfVoyjeYRs+DHdptxwG7B\nRFVGIRkD9IjIBlx+/1UDuWhE5IsAfrJ/SUReAK4F5uWnbv6MHDmSpUuX0NExjREjJtDRMY2lS5cU\nYnJvlDTTBd8CXA7sBlxoK/jk8jPtI7Ai8AU/1gJ/E8wJLyJ3AV9X1V/6xw8A/1tV1wfatMQqr11W\n8JaLpn6KGkXTiF1T8cGLyGxgs/+5303V0goLA/e7Sbvkxy5DhiDbtqUqrww0UPAjFu3gpy0iafpq\nDbeSL9LEngaprOBF5GvAKbhCzh3AR4DbVPXUQJtMVvDN7KNsK/iogh8icg3Qo6or/OONwNRgvHSr\nrPJsBV+XvJawbdnJ3Qevqpeq6j6+mtNJwJrg5G4UlpoFP4A7gVMB/GbclnY/DGMYrUTGJ1mNohCn\n4IffnJvlN+PewQq4GEZLkWnBD3PRVEovxiZrQ/Jb5Gd8u7hocPHtNc83iMhU4A5c1TVw7tSvhshr\nCduWndw3WQ3DKAx/Bi4Inm8QkdXB8w2eh+wwYvkpR5iIYRhA7PMNUDXSzSgTNsEbRknx5xvG4w48\nVXKYzwV/t+WqKS/mokmAxdm3NlLnmnX33dPVIwsizjc8Duyjqu/6dBQrgf3D5NgZh+wpbC6amh2V\nZJO11U/jfthHm22yRtEqG6m1iHu+IeS6l4BDVfWNiudLYdtWJ/c4eMMwCkXN8w3BfEK+2pNUTu5G\nOTAXjWGUiDjnG4A5InI28D7QD5yYl75Gc0kz2VjN/OLmoomWP9BHRumCbwCOxeUQOnjQdW0WK10m\nF02K8kph21anKHHwceNvjWJwI/Cv+HTAVbBYacNoYVLzwSeIvzUKgKr+HPhDRLO2iZVesCBvDQwj\nfZqyyRoRf2u0Dm0TKx2IBjSM0pD6Jmsa+cWNQhA7VtowjGKSdtHtHXGT+w9U9Y7BLRYG7neTdsGP\nMtCMw1T1HJwI/nFW1XtFZImI7BEWTmeHYfIhzK5WTN0IknbR7WXAf6rqBSGvWRRNhPws+/AHYrqA\nu1T1oEFXiYwayP3uY6V/oqpdIe0s0qIgpFlM3bcz26ZMPWUBC3HQKRB/e4SIPCEi60VkRlryjXQR\nkR8DvwT2F5GXReSMYGFmXKz00z6W+gosVroliBnsYMXUc2D58hV0do5j+vQv0dk5juXLVzS9T0tV\nkKCPsq3gU5FeklXewoWtv9GaZjF1/3wpbFsE+vr66OwcR39/D3Aw8CQdHdPYtGlj5Eq+KHHwhtGy\nLFrU+hN8kLSCHWx/JR16e3sZOrSL/v6BM4UHs9NOnfT29g6a4C3ZmJNoK/gG+rAV/PaU6SRrGsXU\n/fOlsG0RyGsFb8nGDKN8WDH1gjFy5EiWLl1CR8c0RoyYQEfHNJYuXRJ7o7VebAWfoA9bwYdIL8kq\nrywreOBw4CHgKdwXKSzZGCJyFTADX0y90v/u25TCtkUi6ygam+AT9GETfIj0kkwCZZngLdlY+TAX\njWE0iOWiMcqIreAT9GEr+BDptsorDLaCLye2gjcMwzAGkeZJ1hkislFEfisiF6cl12gOIrJURDaL\nyJM12iwWked9RsnxWepn1E+UbUVkqohs8afN14vIZVnraGRDKhO8iAwBrgKOAQ4EThaRcY1LXtu4\niFzlZ9FH3fJvxNkrFJ+vZF9V/QRwFnBNvR21AmkdLCkINW3reUhVJ/jboEpd9ZD0M2x2+yz6yEKn\nRkhrBT8ReF5VN6nq+8DNuHwXDbK2cRG5ys+ij/rkxyj40Vb5Sso0wedVzKUMk2kRdWqEtCb4jwGv\nBB7/Dqvm1OpU2vRVSmzTEs3vcWmbYi7tjOWiMQxg3bq8NcgUK+bSLqhqwzdgMnBf4PElwMUVbdRu\nxbl5m3QCT1ax6TXAiYHHG4FRIe1yfy92296uUbYNseFLwB5m2+Le6p2b01rBPwrsJyKdwGvAScDJ\nwQZpxucaqSFU98XeCZwDrKiVr8TsWliq2jakmItoSKUus23rk8oEr6ofiMh8YDXOr79UVZ9LQ7bR\nHHzBj25gTxF5GVgADMWtFq5T1XtEZJaIvIDPV5KftkYSomyLK+ZyNvA+0I8VcykvabhoAj/plgKb\nqfHTEFgMPA9sAMZHXQNMBbYA6/3tW8Aa4BlcQqVzI/p5BnikVvuKPp7AbS4+4dsviJD/a9+uavuQ\n93AZ7g/heuDOOJ+Tf67qNSF9/MHr9gTwSNw+2u0W5ztb5hsu4dhG4LdUuFX965Xfq8cSjvHbmzy+\nNwBHR13TCmM84fi+LJZ9U/6yHO4VrWbMmcDd/v4k4FcxrpkafMPA6MCEtyvwG2BcjX5mDsiu0b6y\nj138/zt4HSdGvI9HItpvJ98/dz7wwyrGHPQ5xbim8j28COxew1ahfbTbLer7V+abn1BewPnrd/IT\nTdTYSDrGn2ny+J6E2zSOuqbwYzzJ+I57SzVVgdYRW437CxY7ZleT15y8F9jJ+x2rta/s411/dxjO\njaUR7+MjPka8Wvvt5IurfD8LuL7K+w2LQR8fcc12ffj7tezbVnHu1YjxnS0zcc+vBMdG0jE+BDcp\n1qKR8f0wsAtu76/WNZX9FG2M7wkcX6P9dvLjknUumnpjq0Njdn3NyfHAw3H6qdG+so8DfbHp14H7\nVfXRGPLX1Wi/nXycES8i/EtSTf7/ibimso8dgftF5FEROTNmH6WNczdCiXt+JUnMfNj3KmrhkMr4\njrimsp+ijfERwPdqtK/UP9bZhVZINjYQszselw5hJdRVc7KjRvvKPm5X1UOAscCkmB/mZ2u0D8p/\nGJjkVym1oliC7Am8EXFN5Xt4T1Un4FYR54jI4TH6MYxKQsdfs+XXU1M24prCjnERmQ28h9sHiTu+\nY9kh6wn+VWDvwOOx/rmqqOrbAz+nAu6WkThD/kBV74jZz79Ua1+ljz1U9S2gB7cRFfk+qrUPygd2\nxv3c6wWWA9NEZFmE/L2BKSLyYrVrQt7DEP8e+nAbXRPjvAeMduJVYJ/A40HfgbCxgXOt1pJZ+b2q\nWg4wxfH9eq1rCj7Gp+D2Hm6v1r6a/oM+mQqaMcFHxVaH1YKsGbMbuD/Rt/s2yWpO7glsqNa+oo/p\nwBBVfUNEOoDpuCiDavKPAf6oqpurta/wba8EfqeqXbjzAmtU9dQI/V9Q1bGq+vFq11S8h08G3sNw\nXJTB0xF9tHNdzri/pMrGh+dXRGQo7rt1Z7BBlfH3FgnGOPD7au1TGt9bgG/UuqbIY9zff1xVO6u1\nD/ucNOTsQiWppiqoJ7a6jpjdy3GnLJ/yPjSlouZkRT8K7AEcUa19RR8C9IvIBtwfwBVe3llV5H8A\nbKvVPuQ9DIo7riG/agx6jT62AVv9+90R+JGqrq6nj7IT9v1T1Rvz1SobtMr5lYjv7m+AXxJ/jP97\nrfYh8pOO73eAK3A+76rX0IJjPKn8MDKr6GQYhmFkSytsshqGYRh1YBO8YRhGSbEJ3jAMo6TYBG8Y\nhlFSbII3DMMoKTbBG4ZhlBSb4A3DMEqKTfCGYRgl5f8Dn8AHde/hV9MAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x9979438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "x = [1,2,3,4]\n",
    "y = [5,4,3,2]\n",
    "\n",
    "plt.figure() # 创建一个新的图表\n",
    "# 如果给方法提供一个字符串参数，例如sample charts，这个字符串就会成为窗口的后台标题\n",
    "# 如果通过相同的字符串参数调用figure()方法，将会激活相应的图表，并且接下来的绘图操作都在此图表中进行\n",
    "\n",
    "plt.subplot(231) # 把图表分割成2*3的网格，也可以用plt.subplot(2, 3, 1)这种形式调用，第一个参数是行数，第二个参数是列数，第三个参数表示标号\n",
    "plt.plot(x, y)\n",
    "\n",
    "plt.subplot(232)\n",
    "plt.bar(x, y) # 柱状图\n",
    "\n",
    "plt.subplot(233)\n",
    "plt.barh(x, y) # 水平柱状图\n",
    "\n",
    "plt.subplot(234)\n",
    "plt.bar(x, y)\n",
    "y1 = [7,8,5,3]\n",
    "plt.bar(x, y1, bottom=y, color = 'r') # 绘制堆叠柱状图，将两个柱状图方法调用连在一起，通过设置参数bottom=y，把两个柱状图连接起来形成堆叠柱状图\n",
    "\n",
    "plt.subplot(235)\n",
    "plt.boxplot(x) # 箱线图\n",
    "\n",
    "plt.subplot(236)\n",
    "plt.scatter(x,y); # 散点图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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q+nSaumjMYWzcmiwX8W1yV8vJ9i/qz2MbHmO9bz3/PuXfM7rSQjb7x8f/4J/b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\neKFsjDHGGGNMA14oG2OMMcYY08C/FRy5+5AEIDQAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x9ba61d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "n = np.array([0,1,2,3,4,5])\n",
    "xx = np.linspace(-0.7, 1, 100)\n",
    "x = np.linspace(-3.3, 3.3, 101)\n",
    "\n",
    "fig, axes = plt.subplots(1, 4, figsize=(12,3))\n",
    "\n",
    "axes[0].scatter(xx, xx + 0.25*np.random.randn(len(xx))) # 散点图\n",
    "axes[0].set_title(\"scatter\")\n",
    "\n",
    "axes[1].step(n, n**2, lw=2) # 阶梯图\n",
    "axes[1].set_title(\"step\")\n",
    "\n",
    "axes[2].bar(n, n**2, align=\"center\", width=0.5, alpha=0.5) # 条形图\n",
    "axes[2].set_title(\"bar\")\n",
    "\n",
    "axes[3].fill_between(x, x**2, x**3, color=\"green\", alpha=0.5); # 条带图\n",
    "axes[3].set_title(\"fill_between\");"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 直方图\n",
    "hist()的参数\n",
    "+ bins  \n",
    "可以是一个bin数量的整数值，也可以是表示bin的一个序列。默认值为10\n",
    "+ range  \n",
    "bin的范围，当bins参数为序列时，此参数无效。范围外的值将被忽略掉，默认值为None\n",
    "+ normed  \n",
    "如果值为True，直方图的值将进行归一化处理，形成概率密度，默认值为False\n",
    "+ histtype  \n",
    "    + bar  \n",
    "    默认为bar类型的直方图\n",
    "    + barstacked  \n",
    "    用于多种数据的堆叠直方图\n",
    "    + step  \n",
    "    创建未填充的线形图\n",
    "    + stepfilled  \n",
    "    创建默认填充的线形图\n",
    "+ align  \n",
    "用于bin边界之间矩形条的居中设置。默认值为mid，其他值为left和right\n",
    "+ color  \n",
    "指定直方图的颜色。可以是单一颜色值或颜色的序列。如果指定了多个数据集合，颜色序列将会设置为相同的顺序。如果未指定，将会使用一个默认的线条颜色\n",
    "+ orientation  \n",
    "通过设置orientation为horizontal创建水平直方图。默认值为vertical"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0xb68fe48>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "y = np.random.randn(1000)\n",
    "plt.hist(y); # 默认绘制10个bin\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0xbb60780>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "y = np.random.randn(1000)\n",
    "plt.hist(y, bins=25); # 设置bins参数，绘制25个bin\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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PaT7NmDgnOTDJNUm+luQrSd7Y4vsluSrJ15NcmWTfnm3WJdmQ5OYkx/TEj0py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\nMHGWJEmSBmDiLEmSJA3g/wckhqF+gWrD3wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x9d0d2e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "n = np.random.randn(100000)\n",
    "\n",
    "fig, axes = plt.subplots(1, 2, figsize=(12,4))\n",
    "\n",
    "axes[0].hist(n) # 普通直方图，概率密度函数f(x)\n",
    "axes[0].set_title(\"Default histogram\")\n",
    "axes[0].set_xlim((min(n), max(n)))\n",
    "\n",
    "axes[1].hist(n, cumulative=True, bins=50)\n",
    "axes[1].set_title(\"Cumulative detailed histogram\") # 累积直方图，分布函数F(x)\n",
    "axes[1].set_xlim((min(n), max(n)));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0xbee1860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "mu = 100\n",
    "sigma = 15\n",
    "x = np.random.normal(mu, sigma, 10000) # 生成正态分布数据集\n",
    "\n",
    "ax = plt.gca() # 获取当前图表\n",
    "\n",
    "ax.hist(x, bins=35, normed=True, color='r') # 35个bins，颜色为红色，概率密度直方图\n",
    "\n",
    "ax.set_xlabel('Values')\n",
    "ax.set_ylabel('Frequency') # 设置x、y轴标题\n",
    "\n",
    "ax.set_title(r'$\\mathrm{Histogram:}\\ \\mu=%d,\\ \\sigma=%d$' % (mu, sigma)); # 设置图表标题"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 误差条\n",
    "errorbar()的参数  \n",
    "color、edgecolor、linewidth、xerr和yerr可以是单一值，也可以是和误差条数目相同长度的序列\n",
    "+ width  \n",
    "给定误差条的宽度，默认值是0.8\n",
    "+ bottom  \n",
    "如果指定了bottom，其值会加到高度中，默认值为None\n",
    "+ edgecolor  \n",
    "指定误差条边界颜色\n",
    "+ ecolor  \n",
    "指定误差条的颜色\n",
    "+ linewidth  \n",
    "误差条边界宽度，可以设为None（默认）和0（此时误差条边界将不显示出来）\n",
    "+ orientation  \n",
    "有vertical和horizontal两个值\n",
    "+ xerr和yerr  \n",
    "用于在条形图上生成误差条。非对称误差条必须用一个二维数组来指定xerr和yerr，其中第一个列表包括负向误差的值，第二个包含正向误差的值\n",
    "+ hatch\n",
    "指定阴影线\n",
    "    + /  \n",
    "    斜线\n",
    "    + \\  \n",
    "    反斜线\n",
    "    + |  \n",
    "    垂直线\n",
    "    + \\-  \n",
    "    水平线\n",
    "    + \\+  \n",
    "    十字线\n",
    "    + x  \n",
    "    交叉线\n",
    "    + o  \n",
    "    小圆圈\n",
    "    + 0  \n",
    "    大圆圈\n",
    "    + .  \n",
    "    点\n",
    "    + \\*  \n",
    "    星号"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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II+OLIyla5XtI69EgsEQqk4G77w7Pb7wxHP/4x2GMQERahxKA9FPc59/TE4733hsOOCDe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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xc0dfeb8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "x = np.arange(0, 4, 0.2)\n",
    "y = np.exp(-x)\n",
    "e1 = 0.1 * np.abs(np.random.randn(len(y)))\n",
    "plt.errorbar(x, y, yerr=e1, fmt='x:'); # yerr参数，设置误差条的长度，误差条上下部分的长度均为e1的长度；fmt参数，设置线型\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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4T1X93YTt2QKQNBW2ABomgLaZACRNiwnAmcCS1FsmAEnqKROAJPWUCUCSesoEIEk9ZQKQ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\nwQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xbc22320>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "x = np.arange(0, 4, 0.2)\n",
    "y = np.exp(-x)\n",
    "e1 = 0.1 * np.abs(np.random.randn(len(y)))\n",
    "plt.errorbar(x, y, yerr=e1, fmt='None'); # fmt参数为None时，只绘制误差条，不绘制点和连线\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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VwFnAjwHM7AAzm1VocSIi0n4KCgB3f9fdP+3uR7j7v7j7++nvv+nun83R/ing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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x967ca90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# ecolor参数设置误差条的颜色，如果没有该参数，则使用点的颜色；elinewidth参数设置误差条的线宽；capsize参数设置误差条的帽宽\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "x = np.arange(0, 4, 0.2)\n",
    "y = np.exp(-x)\n",
    "e1 = 0.1 * np.abs(np.random.randn(len(y)))\n",
    "plt.errorbar(x, y, yerr=e1, fmt='.-', ecolor='r', elinewidth=2, capsize=5); \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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6KTz1VNiA/vDDw+8ikix1AUlVuX94kPjSS0PymDGj+vcPqAtIugJ1AUndyB8k3rQJ9t4b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\nUgIQEUkpJQARkZRSAhARSan/B17F967xBx3LAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x9a981d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "e2 = 0.1 * np.abs(np.random.randn(len(y)))\n",
    "plt.errorbar(x, y, yerr=e1, xerr=e2, fmt='.-', capsize=0); # xerr绘制水平的误差条\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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5wIikncsS44z9XObFciFwe7F42nM+Kz0VxAjgTXdf7u5fAXcR7iXIdwxwG4C7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\nIiIppQQgIpJSSgAiIin1/7aSOeYs6fDeAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xbc22978>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.errorbar(x, y, yerr=[e1, e2], fmt='.-'); # 为yerr参数传入数组，绘制不对称的误差条，第一个数是负误差，第二个数是正误差\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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EipI2xwNzIuLdkg4BLo6IQ8t8lsc0zKqo2ccYPKaRTV3HNCJifedRQ0S8BDwIdJ8m9iSS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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xa3e25f8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "# 生成measurements的标号1~10\n",
    "x = np.arange(1, 11, 1)\n",
    "\n",
    "# 为每个measurements生成相应的values\n",
    "y = np.log(x)\n",
    "\n",
    "# 生成服从标准正态分布的误差\n",
    "xe = 0.1 * np.abs(np.random.randn(len(y)))\n",
    "\n",
    "# 绘制误差条形图\n",
    "plt.bar(x,\n",
    "        y,\n",
    "        yerr=xe, # 在条形图中生成误差条（一个标准差、一个标准误、95%置信区间等）\n",
    "        width=0.4, # 误差条宽度\n",
    "        align='center', # 指定条形的位置\n",
    "        ecolor='r', # 指定误差条的颜色\n",
    "        color='cyan', # 指定条形的填充颜色\n",
    "        label='experiment #1', # 字符串标签，用于生成legend\n",
    "        hatch='-') # 指定阴影线\n",
    "\n",
    "# give some explainations\n",
    "plt.xlabel('# measurement')\n",
    "plt.ylabel('Measured values')\n",
    "plt.title('Measurements')\n",
    "plt.legend(loc='upper left')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 条形图\n",
    "bar()、barh()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAW4AAAD/CAYAAADR7zzdAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nwwg3wDD/By5OT2KLsW5oAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x98707b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "plt.bar([1, 2, 3], [3, 2, 5]); # 第一个参数为条形左下角的x轴坐标，第二个参数为条形的高度；matplotlib会自动设置条形的宽度，本例中条形宽0.8\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAW4AAAD/CAYAAADR7zzdAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nWXMtAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xb3fe048>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# width参数设置条形宽度；color参数设置条形颜色；xerr、yerr参数设置水平、垂直误差条；bottom参数设置条形底部的垂直坐标\n",
    "e1 = 0.3 * np.random.rand(3)\n",
    "e2 = 0.3 * np.random.rand(3)\n",
    "import matplotlib.pyplot as plt\n",
    "plt.bar([1, 2, 3], [3, 2, 5], width=0.5, color='r', xerr=e1, yerr=e2, bottom=1);\n",
    "plt.ylim([0, 7])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAWwAAAD6CAYAAACF131TAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nasJgS1IT/w9bA5dgT71WjwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xba765c0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 例子：从字典中绘制条形图\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "dic = {'A': 40, 'B': 70, 'C': 30, 'D': 85}\n",
    "for i, key in enumerate(dic): # 用for循环，每次绘制一个条形\n",
    "    plt.bar(i, dic[key]);\n",
    "plt.xticks(np.arange(len(dic))+0.4, dic.keys());\n",
    "plt.yticks(dic.values());\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAWwAAAD/CAYAAADVGuzgAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xb4b9320>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 例子：绘制有误差条的并列条形图\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "data1 = 10*np.random.rand(5)\n",
    "data2 = 10*np.random.rand(5)\n",
    "data3 = 10*np.random.rand(5)\n",
    "e2 = 0.5 * np.abs(np.random.randn(len(data2)))\n",
    "locs = np.arange(1, len(data1)+1)\n",
    "width = 0.27\n",
    "plt.bar(locs, data1, width=width);\n",
    "plt.bar(locs+width, data2, yerr=e2, width=width, color='red');\n",
    "plt.bar(locs+2*width, data3, width=width, color='green') ;\n",
    "plt.xticks(locs + width*1.5, locs);\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 水平条形图\n",
    "barh()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0xbb60ba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "plt.barh([1, 2, 3], [3, 2, 5]);\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 饼图\n",
    "pie()  \n",
    "饼图适合展示各部分占总体的比例，条形图适合比较各部分的大小"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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nYORU/DdW813PB26E9DjIefDK8mDfpreKWGVJsdD2gHy3+UAquQRlMCOIM5IE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\nY6E1JmIstMZEjIXWmIj5XzWVNXe92XuvAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xb697160>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "plt.figure(figsize=(4, 4)); # 饼图最好绘制在正方形区域，可以保证饼是圆形而非椭圆形\n",
    "x = [45, 35, 20] # 当各部分之和大于1时，会自动计算各部分占总体的比例\n",
    "labels = ['Cats', 'Dogs', 'Fishes']\n",
    "plt.pie(x, labels=labels); # labels参数可以设置各区域标签\n",
    "plt.show() # 第一块饼从3点钟方向开始绘制"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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/qOr12YNNh5noSvATrRtvxyzgJhF5AJiuqh9mD3JzVXV1tqiF+A8l2pz9gs9mi4sAH2W3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\nxoSQBd+YELLgGxNCFnxjQsiCb0wI/R+QY1JaHn93oQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xba76c88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "plt.figure(figsize=(4, 4));\n",
    "x = [0.1, 0.2, 0.3] # 当各部分之和小于1时，则不计算各部分占总体的比例，饼的大小是数值和1之比\n",
    "labels = ['Cats', 'Dogs', 'Fishes']\n",
    "plt.pie(x, labels=labels); # labels参数可以设置各区域标签\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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dxQeGOIu79tDOYvtoHXtDJnAlcD2khraK+ROjPQw6GHAD2oFUNberQN8cAWAa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\nRHkIOecS5SHknEvUT8r6nsK8/uKTAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x9863208>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# labels参数设置每一块的标签；labeldistance参数设置标签距离圆心的距离（比例值）\n",
    "# autopct参数设置比例值的显示格式；pctdistance参数设置比例值文字距离圆心的距离\n",
    "# explode参数设置每一块顶点距圆形的长度（比例值）；colors参数设置每一块的颜色；\n",
    "# shadow参数为布尔值，设置是否绘制阴影\n",
    "import matplotlib.pyplot as plt\n",
    "plt.figure(figsize=(4, 4));\n",
    "x = [4, 9, 21, 55, 30, 18]\n",
    "labels = ['Swiss', 'Austria', 'Spain', 'Italy', 'France', 'Benelux']\n",
    "explode = [0.2, 0.1, 0, 0, 0.1, 0]\n",
    "colors = ['r', 'k', 'b', 'm', 'c', 'g']\n",
    "plt.pie(x, labels=labels, labeldistance=1.2, explode=explode, colors=colors, autopct='%1.1f%%', pctdistance=0.5, shadow=True);\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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0xs9MEdnMbRdOPYX94asnYfsILEyDobVEgEcSELvHbUsR8VFcfBlDh2ZrxG92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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x9b792b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# 绘制一个正方形的figure and axes\n",
    "plt.figure(1, figsize=(4, 4))\n",
    "ax = plt.axes([0.1, 0.1, 0.8, 0.8])\n",
    "\n",
    "# 圆弧按照逆时针绘制\n",
    "labels = 'Spring', 'Summer', 'Autumn', 'Winter'\n",
    "values = [15, 16, 16, 28]\n",
    "explode =[0.1, 0.1, 0.1, 0.1] # 指定分裂序列，每一个元素表示每个圆弧间的偏移量，为半径的百分比\n",
    "\n",
    "# 绘制饼图\n",
    "plt.pie(values,\n",
    "        explode=explode,\n",
    "        labels=labels,\n",
    "        autopct='%1.1f%%', # 格式化绘制圆弧中的标签，标签可以是一个格式化字符串或者一个可调用的对象（函数）\n",
    "        startangle=67) # 指定圆弧开始绘制的角度，默认从角度0（x轴）开始绘制\n",
    "\n",
    "plt.title('Rainy days by season');"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 散点图\n",
    "scatter()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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k9QfB/Yi7pGQQudFoOO+vJORXoBtpJF1v0uJPr+LMpCODx/Y5FIXuEVq0Jysj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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xabc1e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "x = np.random.randn(1000)\n",
    "y = np.random.randn(1000)\n",
    "plt.scatter(x, y);\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ggd9+oCw+5FTrkSuKsmR1dnYylhsjQwYLiyxZbGx0dG7ZfEtZDOJzoTJyVavs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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xba6dcc0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "x = np.random.randn(1000)\n",
    "\n",
    "y1 = np.random.randn(len(x)) # y1与x不相关\n",
    "y2 = 1.2 + np.exp(x) # y2与x高度相关\n",
    "\n",
    "ax1 = plt.subplot(121)\n",
    "plt.scatter(x, y1, color='indigo', alpha=0.3, edgecolors='white', label='no correl')\n",
    "plt.xlabel('no correlation')\n",
    "plt.grid(True)\n",
    "plt.legend()\n",
    "\n",
    "ax2 = plt.subplot(122, sharey=ax1, sharex=ax1)\n",
    "plt.scatter(x, y2, color='green', alpha=0.3, edgecolors='grey', label='correl')\n",
    "plt.xlabel('strong correlation')\n",
    "plt.grid(True)\n",
    "plt.legend()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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xiAwvgg0bNjzmu4L0ue+5jCRJ0Gi0AJKyyEt8rDnwgkcgO2qf0wTRI3/m+GT+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\nzv8B06mfZdOVD9kAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xaba71d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# s参数设置散点的大小；c参数设置散点的颜色；marker参数设置散点的形状\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "size = 50*np.random.randn(1000)\n",
    "colors = np.random.rand(1000)\n",
    "plt.scatter(x, y, s=size, c=colors, marker='d');\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "| 标记        | 描述       | 标记   |  描述 |\n",
    "| :-------------: |:-----------:| :----:|  :-----:|\n",
    "| 'v'         | 一角朝下的三角形 | '<'     |  一角朝左的三角形 |\n",
    "| '^'         | 一角朝上的三角形 | '>'     |  一角朝右的三角形 |\n",
    "| 's'         | 正方形        | 'o'     |  圆圈      |\n",
    "| 'd'         | 小菱形        | 'p'     | 五边形     | \n",
    "| 'h'         | 六边形1       | '8'     | 八边形     | \n",
    "| '+'         | 加号         | 'x'     | X        |"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 填充曲线之间区域\n",
    "fill_between()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Ly6X8snCJoizn/vvvi2i9YcOGcUo7bcm5dTUliSHuNlF91PbHUzyAO2prFMcw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\nqP8HTWg99YkWp4MAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xb4e4f60>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "x = np.arange(0.0, 2, 0.01)\n",
    "\n",
    "y1 = np.sin(2*np.pi*x)\n",
    "y2 = 1.2*np.sin(4*np.pi*x)\n",
    "\n",
    "fig = plt.figure()\n",
    "ax = plt.gca()\n",
    "\n",
    "# 绘制曲线\n",
    "ax.plot(x, y1, x, y2, color='black')\n",
    "\n",
    "# 填充曲线之间的区域\n",
    "ax.fill_between(x, y1, y2,\n",
    "                where=y2>=y1, # where指定一个条件来填充曲线，where接受布尔值（可以是表达式）\n",
    "                facecolor='darkblue',\n",
    "                interpolate=True)\n",
    "\n",
    "ax.fill_between(x, y1, y2, where=y2<=y1, facecolor='deeppink', interpolate=True)\n",
    "\n",
    "ax.set_title('filled between');\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 极坐标图\n",
    "polar()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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cuMHTgYGkmQnm6OhoyuXyVACerAbvY/nkdAGsFhjoHhYWpjJneHR08GBGP/GE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\ncPzRAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x980a978>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "theta = np.arange(0., 2., 1./180.)*np.pi\n",
    "plt.polar(3*theta, theta/5); # theta参数是角度，r参数是距离圆心的距离\n",
    "plt.polar(theta, np.cos(4*theta));\n",
    "plt.polar(theta, [1.4]*len(theta));\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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rrbR27dqA5YxmzGYzSSSSkE2whF3xJBLJ9IkTJ4Z0YqWwsJCWLl0ayiIcGI1E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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xc773860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# polar plot using add_axes and polar projection\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "fig = plt.figure()\n",
    "ax = fig.add_axes([0.0, 0.0, .6, .6], polar=True)\n",
    "t = np.linspace(0, 2 * np.pi, 100)\n",
    "ax.plot(t, t, color='blue', lw=3);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 网格线\n",
    "rgrids()和thetagrids()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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WGVSn+sjrKJU7H4VCUSWSrlLJDI9s0amT7WwzU6cSPflkpl0GUPZQXl7uVFjx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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xbd57828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "theta = np.arange(0., 2., 1./180.)*np.pi\n",
    "r = np.abs(np.sin(5*theta) - 2.*np.cos(theta))\n",
    "plt.polar(theta, r);\n",
    "plt.rgrids(np.arange(0.2, 3.1, .7), angle=0); # radii参数设置网格线的位置；labels参数设置网格线的标签；angle参数设置网格线的角度（默认值22.5）\n",
    "plt.thetagrids(range(45, 360, 90), frac=0.9); # angles参数设置网格线的角度，labels参数设置网格线的标签；frac参数设置网格线标签的位置（比例值）\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### matplotlib.patches"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x975cb38>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# 部分图形对象可以在matplotlib.pyplot中找到，但完整的图形对象集合位于matplotlib.patches中\n",
    "\n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(1, 1, 1)\n",
    "\n",
    "rect = plt.Rectangle((0.2, 0.75), 0.4, 0.15, color='k', alpha=0.3) # 先创建图形对象\n",
    "circ = plt.Circle((0.7, 0.2), 0.15, color='b', alpha=0.3)\n",
    "pgon = plt.Polygon([[0.15, 0.15], [0.35, 0.4], [0.2, 0.6]],\n",
    "                   color='g', alpha=0.5)\n",
    "\n",
    "ax.add_patch(rect) # 再通过ax.add_patch将图形对象添加到subplot中\n",
    "ax.add_patch(circ)\n",
    "ax.add_patch(pgon);"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 图形内的文字、注释、箭头"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "### 图形内的文字\n",
    "text()和figtext()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Ah9baaYW8r0igtG3rRpOau/dn8mTYvRtatfIdSTBpB61IjAweDBMmaO7eB2td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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xa3104a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "x = np.arange(0, 7, .01)\n",
    "y = np.sin(x)\n",
    "plt.plot(x, y);\n",
    "plt.text(0.1, -0.04, 'sin(0)=0'); # 位置参数是坐标\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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5TpIcNI0j4sm6da5F7wcfuO3/8quMDDdXv3KlegoVRNM4IgF3yikwYgT07es2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\nSApQsRcRSQEq9iIiKUDFXkQkBfw/8A0GDgNjXxsAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xb402898>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "x = np.arange(0, 2*np.pi, .01)\n",
    "y = np.sin(x)\n",
    "plt.plot(x, y);\n",
    "plt.figtext(0.14, 0.5, 'sin(0)=0'); # 位置参数是坐标\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {
    "collapsed": true
   },
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "### 注释\n",
    "annotate()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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k5eWhbt26ftsnhQe2WSjsHDx4EL1798bKlSv9GuSAuQ5mdYtxiPyFYU5BKzU1FTExMdix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\nE4jTEt14cWcKdQx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AiVfVKl9QfR7mrtHIXTBHk38E8F9VDYYnMwBARPoDGA9giIikuvq2\nvMqof00F8K6IpMHMZvmnzfV4TFW/g3k3kQpgE8wf6Ou2FlUN11qSrwBcJiKZInIbgCcADBORHTAv\nSE/YWWNVKqn/RQBNAaxy/Q3Ps7XIKlRS/5kUHrRZLL1sHBER+QcPgBIRhQCGORFRCGCYExGFAIY5\nEVEIYJgTEYUAhjkRUQhgmBMRhQCGORFRCPh/UOKcRNuipCMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xabc12e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# xy参数设置箭头指示的位置，xytext参数设置注释文字的位置\n",
    "# arrowprops参数以字典的形式设置箭头的样式\n",
    "# width参数设置箭头长方形部分的宽度，headlength参数设置箭头尖端的长度，headwidth参数设置箭头尖端底部的宽度，shrink参数设置箭头顶点、尾部与指示点、注释文字的距离（比例值）\n",
    "import matplotlib.pyplot as plt\n",
    "y = [13, 11, 13, 12, 13, 10, 30, 12, 11, 13, 12, 12, 12, 11, 12]\n",
    "plt.plot(y);\n",
    "plt.ylim(ymax=35); # 为了让注释不会超出图的范围，需要调整y坐标轴的界限\n",
    "plt.annotate('this spot must really\\nmean something', xy=(6, 30), xytext=(8, 31.5), arrowprops=dict(width=15, headlength=20, headwidth=20, facecolor='black', shrink=0.1));\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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wA+Lfv6lJ/WYW89c5+oQdAPr374+TJ0/i7NmzmDx5Msp0GLxiyVN9VkxhIetm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\nGLaw29jY2LQx/j/u7m7uF8hk+QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xb4e4630>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "# 生成3个正态分布数据数据集\n",
    "x1 = np.random.normal(30, 3, 100)\n",
    "x2 = np.random.normal(20, 2, 100)\n",
    "x3 = np.random.normal(10, 3, 100)\n",
    "\n",
    "# 绘制3个数据集，并为每个plot指定一个字符串标签\n",
    "plt.plot(x1, label='plot') # 如果不想在图例中显示标签，可以将标签设置为_nolegend_\n",
    "plt.plot(x2, label='2nd plot')\n",
    "plt.plot(x3, label='last plot')\n",
    "\n",
    "# 绘制图例\n",
    "plt.legend(bbox_to_anchor=(0, 1.02, 1, 0.102), # 指定边界框起始位置为(0, 1.02)，并设置宽度为1，高度为0.102\n",
    "           loc=3, # 设置位置为lower left\n",
    "           ncol=3, # 设置列数为3，默认值为1\n",
    "           mode=\"expand\", # mode为None或者expand，当为expand时，图例框会扩展至整个坐标轴区域\n",
    "           borderaxespad=0.) # 指定坐标轴和图例边界之间的间距\n",
    "\n",
    "# 绘制注解\n",
    "plt.annotate(\"Important value\", # 注解文本的内容\n",
    "             xy=(55,20), # 箭头终点所在位置\n",
    "             xycoords='data', # 指定注解和数据使用相同的坐标系\n",
    "             xytext=(5, 38), # 注解文本的起始位置，箭头由xytext指向xy坐标位置\n",
    "             arrowprops=dict(arrowstyle='->')); # arrowprops字典定义箭头属性，此处用arrowstyle定义箭头风格"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {
    "collapsed": true
   },
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 箭头\n",
    "annotate()  \n",
    "arrow()函数很不好用，所以使用不带注释的annotate()函数绘制箭头"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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jSxdddCoHQH26qxhXMmjQIEaNGsXrr79OQkLCSb9/69atvPbaa/z444/s27eP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\nMBdCCDcgYS6EEG5AwlwIIdzA/wfIU+DN+oPSlAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xb909e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "plt.axis([0, 10, 0, 20]);\n",
    "arrstyles = ['-', '->', '-[', '<-', '<->', 'fancy', 'simple', 'wedge']\n",
    "for i, style in enumerate(arrstyles):\n",
    "    plt.annotate(style, xytext=(1, 2+2*i), xy=(4, 1+2*i), arrowprops=dict(arrowstyle=style));\n",
    "\n",
    "connstyles=[\"arc\", \"arc,angleA=10,armA=30,rad=15\", \"arc3,rad=.2\", \"arc3,rad=-.2\", \"angle\", \"angle3\"]\n",
    "for i, style in enumerate(connstyles):\n",
    "    plt.annotate(\"\", xytext=(6, 2+2*i), xy=(8, 1+2*i), arrowprops=dict(arrowstyle='->', connectionstyle=style));\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "## 高阶Matplotlib"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "有三种使用Matplotlib的方法:\n",
    "+ pyplot: The module used so far in this book\n",
    "+ pylab: A module to merge Matplotlib and NumPy together in an environment closer to MATLAB\n",
    "+ Object-oriented way: The Pythonic way to interface with Matplotlib"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 面向对象绘图"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Matplotlib中的对象从高到低分为三层：\n",
    "\n",
    "| 对象        　| 描述|\n",
    "| :------------- |:-----|\n",
    "| FigureCanvas   |Container class for the Figure instance|\n",
    "| Figure       |Container for one or more Axes instances|\n",
    "| Axes         |The rectangular areas to hold the basic elements, such as lines, text, and so on|"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### figure实例及fig.add_axes()方法\n",
    "fig.add_axes()可以被用于镶嵌式的多重图表"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0xbef6550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "x = np.linspace(0, 5, 10)\n",
    "y = x ** 2\n",
    "# 创建figure实例\n",
    "fig = plt.figure()\n",
    "\n",
    "# 使用add_axes方法，创建一个新的Axes实例\n",
    "axes = fig.add_axes([0.1, 0.1, 0.8, 0.8]) # left, bottom, width, height (range 0 to 1)\n",
    "\n",
    "# 在Axes实例上绘图\n",
    "axes.plot(x, y, 'r')\n",
    "\n",
    "axes.set_xlabel('x')\n",
    "axes.set_ylabel('y')\n",
    "axes.set_title('title');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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IwYcffkjTpk3xeDz06NGDypUrux1LJHitWwd33gmDBjmH3JCQ5s2YRFGgnbW2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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xab11208>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "fig = plt.figure()\n",
    "\n",
    "# 通过在figure实例中添加axis实例，可以任意控制一个figure中axis的数量及位置\n",
    "axes1 = fig.add_axes([0.1, 0.1, 0.8, 0.8]) # main axes\n",
    "axes2 = fig.add_axes([0.2, 0.5, 0.4, 0.3]) # inset axes\n",
    "\n",
    "# main figure\n",
    "axes1.plot(x, y, 'r')\n",
    "axes1.set_xlabel('x')\n",
    "axes1.set_ylabel('y')\n",
    "axes1.set_title('title')\n",
    "\n",
    "# insert\n",
    "axes2.plot(y, x, 'g')\n",
    "axes2.set_xlabel('y')\n",
    "axes2.set_ylabel('x')\n",
    "axes2.set_title('insert title');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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pefLADz/o+VE1akDbtubuf+9e/Ub88UddV8we/rnyDx9s/oDVx1bzepPXmdtp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\ntpcawAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xb4bccc0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "xx = np.linspace(-0.7, 1, 100)\n",
    "\n",
    "fig = plt.figure()\n",
    "ax = plt.subplot(111)\n",
    "\n",
    "ax.plot(xx, xx**2, xx, xx**3)\n",
    "fig.tight_layout()\n",
    "\n",
    "# inset\n",
    "inset_ax = fig.add_axes([0.2, 0.5, 0.35, 0.35]) # 参数依次为左下角的X坐标, Y坐标, 宽度, 高度\n",
    "\n",
    "inset_ax.plot(xx, xx**2, xx, xx**3)\n",
    "inset_ax.set_title('zoom near origin')\n",
    "\n",
    "# set axis range\n",
    "inset_ax.set_xlim(-.2, .2)\n",
    "inset_ax.set_ylim(-.005, .01)\n",
    "\n",
    "# set axis tick locations\n",
    "inset_ax.set_yticks([0, 0.005, 0.01])\n",
    "inset_ax.set_xticks([-0.1,0,.1]);"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### plt.add_subplot()方法\n",
    "与fig.add_axes()方法相比，该方法不能控制Axes对象的具体位置，更无法设置嵌套结构的子图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0xb93bc50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "fig = plt.figure() # 返回一个figure对象，可以在该对象上添加Axes对象\n",
    "ax1 = fig.add_subplot(211) # fig.add_subplot(numrows, numcols, fignum)，为figure对象添加Axes对象（子图）；绘制2行1列的子图，ax1指代第1个子图\n",
    "ax1.plot([1, 2, 3], [1, 2, 3]);\n",
    "ax2 = fig.add_subplot(212) # 绘制2行1列的子图，ax1指代第2个子图\n",
    "ax2.plot([1, 2, 3], [3, 2, 1]);\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### plt.subplots()方法\n",
    "plt.subplots()选项\n",
    "+ nrows  \n",
    "subplot的行数\n",
    "+ ncols  \n",
    "subplot的列数\n",
    "+ sharex  \n",
    "所有subplot应该使用相同的X轴刻度（调节xlim将会影响所有subplot）\n",
    "+ sharey  \n",
    "所有subplot应该使用相同的Y轴刻度（调节ylim将会影响所有subplot）\n",
    "+ subplot_kw  \n",
    "用于创建各subplot的关键字字典\n",
    "+ ** fig_kw  \n",
    "创建figure时的其他关键字，如plt.subplots(2,2,figsize=(8,6))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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wXWZ+gtE31z5WaG5aXGZGXZgXTTSzQWUP15nX5mZm1IV50TQljkF1vs68lp6ZURfmZUl5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\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xc586eb8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(2, 3)\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 101,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ndEG7dW6i2FhYtw6WLIHFi2H5cjh50kmeGjWCHj1gxAgoXz5jE6jU3m7L1qky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\nZmbWAv8B3TTFqBgzQOwAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xc4899b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "fig, axes = plt.subplots(1, 2, figsize=(10,4))\n",
    "      \n",
    "axes[0].plot(x, x**2, x, np.exp(x))\n",
    "axes[0].set_title(\"Normal scale\")\n",
    "\n",
    "axes[1].plot(x, x**2, x, np.exp(x))\n",
    "axes[1].set_yscale(\"log\")\n",
    "axes[1].set_title(\"Logarithmic scale (y)\");"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### plt.subplot2grid()方法"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 102,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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uUKmvZ6iyvrI7gOemG6OkecAtEfEY0OrEa5UYrwBmS9oj6aCktQnWuQ24UtIp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\ndqVWM7RzAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xb47e7f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "fig = plt.figure()\n",
    "ax1 = plt.subplot2grid((3,3), (0,0), colspan=3)\n",
    "ax2 = plt.subplot2grid((3,3), (1,0), colspan=2)\n",
    "ax3 = plt.subplot2grid((3,3), (1,2), rowspan=2)\n",
    "ax4 = plt.subplot2grid((3,3), (2,0))\n",
    "ax5 = plt.subplot2grid((3,3), (2,1))\n",
    "\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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eAM7oJbZU7hzgEHBxht91FNgBPA5s7vF3nUvxqfoxYDdwyRR13QI8D+yaoky2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\nT/BmZg31/wE4+9pTzF9oEgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xb257fd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "plt.figure(0)\n",
    "axes1 = plt.subplot2grid((3, 3), (0, 0), colspan=3)\n",
    "axes2 = plt.subplot2grid((3, 3), (1, 0), colspan=2)\n",
    "axes3 = plt.subplot2grid((3, 3), (1, 2))\n",
    "axes4 = plt.subplot2grid((3, 3), (2, 0))\n",
    "axes5 = plt.subplot2grid((3, 3), (2, 1), colspan=2)\n",
    "\n",
    "# tidy up tick labels size\n",
    "all_axes = plt.gcf().axes\n",
    "for ax in all_axes:\n",
    "    for ticklabel in ax.get_xticklabels() + ax.get_yticklabels():\n",
    "        ticklabel.set_fontsize(10)\n",
    "\n",
    "plt.suptitle(\"Demo of subplot2grid\");"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### gridspec"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 104,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0xc0c87b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.gridspec as gridspec\n",
    "\n",
    "fig = plt.figure()\n",
    "\n",
    "gs = gridspec.GridSpec(2, 3, height_ratios=[2,1], width_ratios=[1,2,1])\n",
    "for g in gs:\n",
    "    ax = fig.add_subplot(g)\n",
    "    \n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 调整子图之间的间距\n",
    "plt.subplots_adjust()、wspace和hspace参数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0xde09898>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "fig, axes = plt.subplots(2, 2, sharex=True, sharey=True)\n",
    "for i in range(2):\n",
    "    for j in range(2):\n",
    "        axes[i, j].hist(randn(500), bins=50, color='k', alpha=0.5) # 通过索引选取相应位置的AxesSubplot实例，并用实例的方法绘图\n",
    "plt.subplots_adjust(wspace=0, hspace=0) # 将subplot之间的间距收缩到了0"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### fig.tight_layout()方法\n",
    "自动调节子图的位置，使得子图之间不会发生重叠"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 106,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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oEo7mrnbsCJdeamgITcInn5z0CKVcKKBEJFGbN8dHV1GTcHQJposvVpNwLVNA\niUjZiJqE0+lwO3IkLrS47jo1CdcaBZSIlKWoSTi6XuArr4RqwGju6txzkx6hlJoCSkQqwt69ocAi\nqgwcPDi3SXjQoKRHKMWmgBKRiuMOq1fHYRU1CTc0hDL20aOTHqEUgwJKRCrejh25KwmPGBEXWkyd\nqibhSlXSgDKzh4GbgBZ3v7SD12cAi4BN2acec/efdLCdAkpECtK+STidDkuJzJ4dwmrOHDUJV5JS\nB9Q1wD5gQRcBdbe7f7Wb91FAiUivfPRROKpKp8OFbs8/P64MVJNweSv5KT4zGwM80UVA/aW739zN\neyigRKTPDh6EF16I56527MhdSVhNwuWlHALq/4APgWbgR+6+roPtFFAiUnSbN8dh9fzzMHFiPHd1\n0UVqEk5a0gE1GGhz91YzqwPud/fxHWyngBKRkmptzV1JOGoSbmgITcInnJD0CGtPogHVwbabgSvc\nfWfe8z537twvH6dSKVKpVI8HLCJSCHfYsCEOq1dfhWnT4rkrNQmXRiaTIZPJfPn43nvvLXlAjSUE\n1CUdvDbM3Vuy9ycBv3X3sR1spyMoEUlM1CQcXdXipJPisFKTcOmUuorvN0AKGAq0AHOBgYC7+3wz\nuxO4AzgEHAB+4O5NHbyPAkpEykJbW1hJOAqrt96CmTPjwBo1KukRVg816oqI9MGnn8ZNwkuWwMiR\n8dzVlClqEu4LBZSISJEcOQJNTfHc1QcfhPL1hobQJHz66UmPsLIooERESqS5ObdJ+IIL4jL2yy9X\nk3B3FFAiIv0gahKO5q527YqbhGfNUpNwRxRQIiIJ2LQpbhJ+4YVwRBXNXV14oZqEQQElIpK41lZY\ntiyeu3KPw2rmzNptElZAiYiUEXdYvz4+uoqahKO5q3Hjkh5h/1FAiYiUsT17clcSPumkOKymT6/u\nJmEFlIhIhWhri1cSTqdh3bpwncD6+lBwUW1NwgooEZEKFTUJp9Phz9Gj4ytaVEOTsAJKRKQKHD4c\nVhKOyti3bMldSbgSm4QVUCIiVai5GRYvDmH1zDPwla/Ec1cTJ1ZGk7ACSkSkyh08GBZkjOaudu8O\nc1YNDaFJeMiQpEfYMQWUiEiNee+9cHSVTocm4SuuiI+uyqlJWAElIlLDoibhdDrczOJCi+uug+OP\nT25sCigREQHiJuGo0OK11+Caa+KrWpxzTv+ORwElIiId2rMHnnoqbhI++eQ4rKZPh4EDS/v5CigR\nEelWWxtNkmHzAAAEKklEQVSsWhWHVdQk3NAQCi5Gjiz+ZyqgRESkx7Zvz11JePTouNBi8uTiNAkr\noEREpE8OH85dSXjrVrjxxrhJ+LTTeve+JQ0oM3sYuAlocfdLO9nmAaAO2A98y91Xd7CNAkpEpEI0\nN8enAp99NpSuR5WBPWkS7ktAFfIRvwRu7OLD64Bx7n4ecDvwYG8GIqWVyWSSHkJN0/5PlvZ/z40c\nCbfdBr//PXzyCfz4x2EF4W98I7z27W/Do4+GIoxS6Tag3P0FYFcXm9wCLMhu2wQMMbNhxRmeFIt+\noMnS/k+W9n/fDBoEN9wA//ZvsGFDaAyeOBEefjhcfX3mTPiXfwlFF8U8UVaMKzmNBLa2e9ycfU5E\nRKrQuHHw3e+GK1ls2wZ33w2bNoVKwLPPhjvvDPNYra19+5wKuNSgiIiUqxNOgJtugp/9DN5/PwTT\n2LHw05/C8OF9e++CqvjMbAzwREdFEmb2ILDM3R/JPt4AzHD3lrztVCEhIlKDelskUWiVu2VvHXkc\nuBN4xMymALvzw6kvAxQRkdrUbUCZ2W+AFDDUzLYAc4GBgLv7fHdvNLN6M3uXUGZ+aykHLCIitaGQ\nKr4/c/cR7j7I3c9y91+6+0PuPr/dNne5+7nAa8BiM1vT2fuZ2QNmttHMVpvZhOL8YwiEnjUza+ls\n/5vZDDPbbWavZ29/299jrGZmNsrMnjWzt8xsrZl9r5Pt9BsoskL2vb7/pWNmg8ysycxWZff/3E62\n69l3392LdgOuASYAazp5vQ5IZ+9PBlYU8/Nr/VbA/p8BPJ70OKv1BgwHJmTvDwbeBi7I20a/geT2\nvb7/pf13cHz2z6OBFcCkvNd7/N0vahWfq2cqUQXsf+h8LlH6yN23efYqKu6+D1jPH7dc6DdQAgXu\ne9D3v2TcPSoqH0SYPsovjOvxd7+/y8zVM5W8qdnD67SZXZj0YKqVmY0lHM025b2k30CJdbHvQd//\nkjGzo8xsFbANeMrdX83bpMff/SJcq1YqyErgLHdvzV6iaiEwPuExVR0zGww8Cnw/+3/z0k+62ff6\n/peQu7cBE83sJGChmV3o7uv68p79fQTVDIxu93hU9jnpB+6+LzoMd/fFwAAzOzXhYVUVMzuG8B/I\nX7v7og420W+gRLrb9/r+9w933wssA+bkvdTj734pAqq7nqlvAnTVMyV90un+b3++18wmERq1d/bX\nwGrEfwPr3P3+Tl7Xb6B0utz3+v6XjpmdZmZDsvePA2YBG/I26/F3v6in+NQzlazu9j/wNTO7AzgE\nHAC+ntRYq5GZTQO+AazNnot34B5gDPoNlFQh+x59/0vpTOBXZnYU4cDnkex3/Xb68N3vtwULRURE\nekIXixURkbKkgBIRkbKkgBIRkbKkgBIRkbKkgBIRkbKkgBIRkbKkgBIRkbKkgBIRkbL0/wF2igYb\nGKatewAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xba99400>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "fig = plt.figure() # 返回一个figure对象，可以在该对象上添加Axes对象\n",
    "ax1 = fig.add_subplot(211) # fig.add_subplot(numrows, numcols, fignum)，为figure对象添加Axes对象（子图）；绘制2行1列的子图，ax1指代第1个子图\n",
    "ax1.plot([1, 2, 3], [1, 2, 3]);\n",
    "ax2 = fig.add_subplot(212) # 绘制2行1列的子图，ax1指代第2个子图\n",
    "ax2.plot([1, 2, 3], [3, 2, 1]);\n",
    "fig.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 调取plot返回的曲线对象"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 107,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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dbrftR9KZui5bVFF/5RX/PN3J5z/Poyi63Wtcpw7YifqcOfzbKeomTyqrVwMX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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xc81de80>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "x = np.arange(0, 10, 0.1)\n",
    "y = np.random.randn(len(x))\n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111)\n",
    "l, = plt.plot(x, y) # plot会返回一个Line2D对象的列表，l会得到该列表的第一个（此处也是唯一一个）元素，之后都可以通过l来对该曲线对象的样式进行设置\n",
    "\n",
    "#  plt.plot(x, y)返回的是list\n",
    "# line = plt.plot(x, y)，则line是list\n",
    "# line, = plt.plot(x, y)，则line是matplotlib.lines.Line2D实例，所以line后面有个逗号\n",
    "\n",
    "l.set_color('r') # 通过l对象对曲线的颜色进行设置\n",
    "t = ax.set_title('random numbers')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 同时绘制多幅图（非子图）"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 108,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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si4izkv7E9l80PK3Wsn231hejf4mIM2OGcH7OYNrx5PycT0T8VtI5SU+MvDTz+VnFAj/t\nmvmvSNJG18zjIyYez/z+m+1Htf6La9frmlgHvSjpUkQ8P+F1zs/ZbHg8OT+Ls/0J21uy+x+X9CVJ\nl0eGzXx+lrpFwzXz5Zp2PCXts/2Pkv4g6X8lPd3UXNvO9uOSnpH0VrbPGZL+SdJ94vycWZHjKc7P\nWXxS0vdt36X18D6VnY8HtMD5WeirCgAA3dOK/2QfAKB8LPAAkCgWeABIFAs8ACSKBR4AEsUCDwCJ\nYoEHgESxwANAov4PSBekX8IeMqsAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xe32eef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0xe54e1d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "fig1 = plt.figure() # fig1指代第1个figure对象\n",
    "ax1 = fig1.add_subplot(111) # add_subplot中传入参数111，ax1指代第1幅图\n",
    "ax1.plot([1, 2, 3], [1, 2, 3]);\n",
    "fig2 = plt.figure() # fig2指代第2个figure对象\n",
    "ax2 = fig2.add_subplot(111) # ax2指代第2幅图\n",
    "ax2.plot([1, 2, 3], [3, 2, 1]);\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 坐标轴的特殊设置"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 同一幅图中并列的2个X、Y轴\n",
    "twinx()和twiny()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 109,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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PYTXDkopWM4RizBjbQ+DAA8OOJKu0bm1Tb5Mm2Sjohx/Cjsg5lwauBZ4BmovI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\ncy7l/h9PGc/IcRk8uAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xe0ec710>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "x = np.arange(0., np.e, 0.01)\n",
    "y1 = np.exp(-x)\n",
    "y2 = np.log(x)\n",
    "fig = plt.figure()\n",
    "ax1 = fig.add_subplot(111)\n",
    "ax1.plot(x, y1);\n",
    "ax1.set_ylabel('Y values for exp(-x)');\n",
    "ax2 = ax1.twinx() # twinx()的作用是在ax1的位置创建了另一个ax2对象覆盖于其上，并保证2个Axes对象的X轴完全一致，从而达到了1幅图中2个Y轴的效果\n",
    "ax2.plot(x, y2, 'r');\n",
    "ax2.set_xlim([0, np.e]);\n",
    "ax2.set_ylabel('Y values for ln(x)');\n",
    "ax2.set_xlabel('Same X for both exp(-x) and ln(x)');\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 110,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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RpaufgANK4kTRJL9LgY9U6QhMjxxbqMowoBlQFrguPuE558JKFZ5+2rqC5daO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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xdb62a20>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "x = np.linspace(0, 5, 100)\n",
    "\n",
    "fig, ax1 = plt.subplots()\n",
    "\n",
    "ax1.plot(x, x**2, lw=2, color=\"blue\")\n",
    "ax1.set_ylabel(r\"area $(m^2)$\", fontsize=18, color=\"blue\")\n",
    "for label in ax1.get_yticklabels():\n",
    "    label.set_color(\"blue\")\n",
    "    \n",
    "ax2 = ax1.twinx()\n",
    "ax2.plot(x, x**3, lw=2, color=\"red\")\n",
    "ax2.set_ylabel(r\"volume $(m^3)$\", fontsize=18, color=\"red\")\n",
    "for label in ax2.get_yticklabels():\n",
    "    label.set_color(\"red\")"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 对数坐标轴\n",
    "set_yscale、set_xscale、semilogx、semilogy、loglog"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 111,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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yVwzevJB0S2PHDrc9NHRP7dnj3FJVVQ2VRrqloeq2DUM2S+Ng4E0RGe0NiMiV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\n3wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xdb559e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib as mpl\n",
    "mpl.rcParams['font.size'] = 10.\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "x = np.arange(0., 20, 0.01)\n",
    "fig = plt.figure()\n",
    "ax1 = fig.add_subplot(311)\n",
    "y1 = np.exp(x/6.)\n",
    "ax1.plot(x, y1);\n",
    "ax1.grid(True)\n",
    "ax1.set_yscale('log') # 将Y坐标轴的尺度设为对数\n",
    "ax1.set_ylabel('log Y');\n",
    "ax2 = fig.add_subplot(312)\n",
    "y2 = np.cos(np.pi*x)\n",
    "ax2.semilogx(x, y2); # semilogx函数是plot()和ax.set_xscale('log')的结合，将X坐标轴的尺度设为对数\n",
    "ax2.set_xlim([0, 20]);\n",
    "ax2.grid(True)\n",
    "ax2.set_ylabel('log X');\n",
    "ax3 = fig.add_subplot(313)\n",
    "y3 = np.exp(x/4.)\n",
    "ax3.loglog(x, y3, basex=3); # loglog将X轴和Y轴的尺度设为对数\n",
    "ax3.grid(True)\n",
    "ax3.set_ylabel('log X and Y');\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 不同的图保持一致的X、Y轴\n",
    "sharex参数和sharey参数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 112,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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md3d0Ms/xxw8G7ltuif6cODHt1opIltW9TEDBD+cdQG1mtwHT3X1e4j2ZuFP/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\nIgH5/0VLlgsqExDYAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xd954b70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib as mpl\n",
    "mpl.rcParams['font.size'] = 11.\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "x = np.arange(11)\n",
    "fig = plt.figure()\n",
    "ax1 = fig.add_subplot(311)\n",
    "ax1.plot(x, x);\n",
    "ax2 = fig.add_subplot(312, sharex=ax1) # ax2对象与ax1对象保持一致的X轴\n",
    "ax2.plot(2*x, 2*x);\n",
    "ax3 = fig.add_subplot(313, sharex=ax1) # ax3对象与ax1对象保持一致的X轴\n",
    "ax3.plot(3*x, 3*x);\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 设置边框\n",
    "ax.spines[].set_color()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 113,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXoAAACQCAYAAAAGCKDAAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nf2P5QMwff9eCAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xbe27e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "fig = plt.figure(figsize=(6,2))\n",
    "ax = fig.add_subplot(111)\n",
    "\n",
    "ax.spines['bottom'].set_color('blue')\n",
    "ax.spines['top'].set_color('blue')\n",
    "\n",
    "ax.spines['left'].set_color('red')\n",
    "ax.spines['left'].set_linewidth(2)\n",
    "\n",
    "# turn off axis spine to the right\n",
    "ax.spines['right'].set_color(\"none\")\n",
    "ax.yaxis.tick_left() # only ticks on the left side"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 中央坐标轴\n",
    "ax.spines[].set_position(('data',0))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 114,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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kSWBWULRs2ZLk5GRycnIYPnw4OTk5pKamHhTkAIMGDSIrK4sBAwZQVlbGwoULWb58uf8F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\nIsD/A79r0Tyks7v+AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xe0ec358>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "\n",
    "ax.spines['right'].set_color('none')\n",
    "ax.spines['top'].set_color('none')\n",
    "\n",
    "ax.xaxis.set_ticks_position('bottom')\n",
    "ax.spines['bottom'].set_position(('data',0)) # set position of x spine to x=0\n",
    "\n",
    "ax.yaxis.set_ticks_position('left')\n",
    "ax.spines['left'].set_position(('data',0))   # set position of y spine to y=0\n",
    "\n",
    "xx = np.linspace(-1., 1., 100)\n",
    "ax.plot(xx, xx**3);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 115,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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82FpVNAcJybJuHyS8fFnOfT5wAKhfX3Fg5DIZGUD79nIQWPMDGDhISJRnzRp5rBWTs7UF\nBckd7jZsUB2JczBBk0fg4KDnsNKcaLY4yLLyWhyHDwPt2rnFr73kBJcuyWPMDh6UW5Jqii0OIgD4\n6CPgqaeYnD1F1apA377AsmWqI3EcK2iyLMMwkJsr0LgxsG4dEB6uOiIyy1dfAaNHa32oLCtooq1b\nAR8fJmdP07kzcPUqsHu36kgcwwRNlsbBQc9kGNYYLGSLgyzLMAzUqCHcaQMdcqLsbLmt7LFjQMWK\nqqMpwPUtjm3btjny4aZhnM7lyjjT0tLQoUMHhIaGomPHjsjIyChwjc1mw5gxYxAcHIwmTZpg4cKF\nRb5ejx76J2d3+Lq7Q4zAH+Ns1AiIjJT7f+vGMIxoe65jgtYI4wRGjhyJcePGISUlBaNHj8aIESMK\nXLNs2TIcPnwY6enp+PbbbzFlyhRkZ2cX+nru0N5wh6+7O8QIFIxT4w2Uou25iD1o0sapU6ewd+9e\nDBgwAADw1FNPISkpCWfOnPnDdYmJiRg+fDgAoHbt2ujbty9WrVr1h2vyDhHt2dP1cZO++vYFvvtO\nzoF3R5ZJ0OfOyd3KyH3l5OTA19cXxq15UV5eXmjQoAFycnL+cF12djb8/f3znzdq1KjANUuWyD/d\n6Iw6coHKleX+3wkJqiMpG4cGCQ3D4CAhEVEZCCFKHCh0qIIWQmj1iIoS2LRJfRx8lO1x8uRJ+Pj4\nwGazQQiB3Nxc1KxZE6dPn/7DdbGxsVizZk3+87Fjx2LmzJn5z9evF2jbVmj5f5QPPm49PG+hisYD\nAmSHOnXqIDw8HMuXLwcALF++HJGRkahVq9YfrnviiScQFxcHIQROnTqFTz/9FP369cv/e859Jquw\n1Dzos2eBxo2BI0fk6jFyP4cOHcLgwYNx/vx5+Pj4ID4+HsHBwYiNjcW0adMQGRkJm82GsWPHYvPm\nzTAMA6+++iqGDRsGADhzRm45mZkJ+PgUPDSWSBP2LUB3sEzPt3XrVuHt7S3mzJkjVOrfX4jCQpg+\nfboICwsTERERIiIiQiQmJpofnB3GjBkjQkNDRXh4uOjUqZPYvXu36pAKlZCQIMLCwkS5cuWUf81v\n9+67Qjz8cKpo3769ACA6dOgg0tPTVYdVwKRJk0RgYKAwDEMkJyerDqdIZ86cEb169RKhoaEiLCxM\nPP744+L06dOqwypU3759RXh4uIiIiBBdunQR+/btUx1SkQC8CcAGoJkoJsc6JUFfvHhRtG3bVvTu\n3Vv5N+vGjUK0bl3w/RcuXMh/++effxbVq1cX58+fNzEy+2zYsEHcvHlTCCHE+vXrRVBQkOKICpec\nnCwOHjwoBg8erPxrfruICCHCw7uJ5cuXCwAiISFBdOvWTXVYBezYsUMcPXpUBAYGap2gz549K7Zv\n357/fPLkyWLYsGEKIyra7d/jn376qYiMjFQYTdGSkpIEgC8AHC4pQTulBz1x4kS88sorBXqFKjzw\nAHD8OPDTT398f7Vq1fLfvnjxIry8vGCz2UyOrmS9evWCt7c3AKB9+/Y4duyY4ogK16xZM4SGhuZP\nidPBDz8AJ0+eQlZWyXOpVevQoQN8fX21b8H4+PigS5cu+c/btWtX5KIg1W7/Hj9//nz+95FOrl+/\njjFjxgDASNjR5nA4QW/cuBEXLlzAY4895uhLOYW3NzBoUOGDhR9++CHuvfdeREVFYf78+fDRvFE9\ne/ZsxMbGqg7DbSxeDDz0kH1zqan0hBCYN28e+vTpozqUIg0fPhz+/v5444038NFHH6kOp4C//OUv\nGDRoEIQQdv2UK3Eav2EYewA0vPPdAMSZM2fw2muvYcuWLWUI1bmioqLyvwlzc+XClaVLBQzDwIkT\nJ2AYBl544QW88MILSE5OxtNPP40ePXqYnqRvjzOPEH+MEwBWrlyJlStX4quvvjI1vjz2xqmL69eB\n5cuBBQuAnTtVR2NNY8eORbVq1fIqQC3FxcUBkNsBTJo0CRs0Opxw586d2L17N2bMmGH/BxXX/yjp\n8c0334i6deuKwMBAERAQIKpWrSpq164tpk2bZlI3p2gdOwqxbl3Rfx8TEyPWrl1rXkClsHbtWhEc\nHCyys7NVh1KiIUOGaNGDXrNGiPvvF+LkyZPCx8dH2Gw2AUDk5uaKmjVrajuwFRAQoHUPOs+kSZNE\nz549xY0bN1SHYrdKlSqJs2fPqg4j34wZM4Svr68IDAwUAI4AuAEgB0AP4cpBwjy6fLMKIcSCBUL0\n6fP78wMHDuS/ffjwYVGvXj2RkpKiILLiff755yIwMFBkZGSoDsUuQ4YMEe+//77qMMTDDwuxZIl8\nu2vXriIhIUEAEPHx8VoOEuZxhwT92muviW7duomrV6+qDqVIly5dEjk5OfnPP/vsM+Hn56cwohLh\nVpK+V7h6FkeeoUOHapOgL1wQokYNIU6ckM/79+8vWrRoIcLDw0Xr1q3FqlWr1AZYhDp16gg/Pz8R\nERGRP2VIpyogz4oVK4Sfn5+oWrWquPvuu0XDhg3FwYMHlcRy/LgQNWsKcemSfJ6SkiLayqWEol27\ndiI1NVVJXMUZP3688PPzE+XLlxf169cXLVq0UB1SoZKTk4WXl1f+1M/w8HDx2GOPqQ6rgBMnToh2\n7dqJsLAwER4eLrp37y727t2rOqziAHbM4rDUQpU7DR4MtGoFTJyoOhJypbfflrvXLVr0x/fnnepN\npCHPW+p9p7yl3/wetS4huLSbrMvSCbpLF+DyZWDPHtWRkKt89x1w4wbQqZPqSIicz9IJ2svLGgdH\nUtEWL5ZfY81m/RE5haV70ACQlSXPJdP04EhywNWrgK+vXEHY8M6Z+mAPmrTGHjQA+PvLk311PDiS\nHPPJJ0CbNoUnZyIrsHyCBrhPtFVxcJCszvItDgC4cgXw8wN+/FH+Se4vO1v+ZlRc64otDtIYWxx5\n8g6OXLpUdSTkLB99BDz5JMcVyNo8ooIG5AY6zz4LpKZyxN/dCQEEBwMrV8oedFFYQZPGWEHfrm1b\noFw5YMcO1ZGQo77+GqhUCWjdWnUkRK7lMQnaMDhYaBV5g4P8TYiszmNaHIA8aaVZM+DoUaBKFdXR\nUFlcvAg0agSkpAB16xZ/LVscpDG2OO5Uvz7QsSOwerXqSKisEhOB6OiSkzORFXhUggbY5nB3cXHA\n88+rjoLIHB7V4gDk0Ui+vnJWR1CQ6mioNH78EYiNBTIz5dmTJWGLgzTGFkdh7roLeOaZgnsHk/4W\nLpS/AWl4WDORS3hcBQ0ABw4APXrI1WjlSjw2l3Rw7ZpcBbp7NxAQYN/HsIImjbGCLkqzZkBgIKDR\ngb9UgrVr5a6E9iZnIivwyAQNACNGAPPnq46C7LVgAQcHyfN4ZIsDkBsoNWwI7NvH7Sp1l54OdOgA\n5OQAFSrY/3FscZDG2OIoTuXKwIABHCx0B4sWyX1USpOciazAYytoQFbPjzwCHDnCmQG6unFDHrqw\nZYscOygNVtCkMVbQJQkPB+rVA778UnUkVJQvvpADuqVNzkRW4NEJGgCGD5er00hPCxbIrxGRJ/Lo\nFgfw++Y7Bw7IvTpIH8eOAS1bysHBsmxuxRYHaYwtDntUqwb06wcsWaI6ErrT4sVA//7ceZA8l8dX\n0ADw/ffy+KT0dMDL439k6SE3V+6Vsnp12TfmZwVNGmMFba/WrYHq1YH//Ed1JJRn0yagdm2emkKe\njQka8mQODhbqZd48YNQo1VEQqcUWxy3nz8vpXIcOAffcozoaz5aZCURFyc2sHOk/s8VBGmOLozRq\n1gQee0xuaUlqxcXJLWE5OEiejhX0bZKSgEcfBQ4f5spCVa5fl9Met24F7r3XsddiBU0aYwVdWpGR\nci40tyFV55NPZGJ2NDkTWQET9B3GjAHmzFEdhefi4CDR79jiuMO1a/JX7B07gJAQ1dF4lgMHgO7d\ngawseTSZo9jiII2xxVEWFSsCzz0nKzky1wcfAMOGOSc5E1kBK+hCHDkiF0jk5Mh9o8n1Ll+Wv7ns\n3Sv/dAZW0KQxVtBlFRgoT/BYsUJ1JJ5jxQqgUyfnJWciK2CCLsLo0XKwkAWY6wkBzJ4t/82J6HdM\n0EXo2RO4cAHYtUt1JNa3fTtw7dpVLF48ACEhIWjWrBk2FDHXcfv27ahSpQoiIyMRERGB9u3bmxwt\nkXnKqQ5AV15ecrrXnDlAu3aqo7G2d98FmjSZiRo1aiAtLQ3p6eno3LkzMjIyULmQQYDmzZvju+++\nUxApkblYQRdj6FBg/Xrg+HHVkVjXkSPA118DGRmJeOGFFwAAwcHBaNOmDTZu3Fjox3DgjzwFE3Qx\n7r5bnvw9d67qSKzr/fflD8KjR7Ph7++f//6GDRsiJyen0I9JTU1FZGQk2rdvj6VLl5oVKpHp2OIo\nwUsvAZ07A3/6E1Cpkupo3FdUVFSBhGuzCZw9ayA9/Rd8+KH9r3P06FFUq1YNmZmZ6NGjB/z8/NCt\nW7dCr58yZUr+29HR0YiOji7jZ0BkPiboEjRtCrRpAyQk8PBSR+zZs6fA++bOBbZsARo3Bvz9/ZGV\nlYVatWoBALKzswtNulWrVs1/OyAgAH379sWOHTvsStBE7oYtDjtMmADMmsUpd85kswHvvQe8+KJ8\n3q9fP3x4q4xOS0vD7t27ERMTU+Djfvnll/y3z549i82bNyM8PNyUmInMxgRth+7d5faj//d/qiOx\njs2b5bL6Ll3k88mTJ+PcuXMICQnBI488gri4OFS5tSH0m2++ifnz5wMA1qxZgxYtWiAyMhLR0dEY\nMmQIevfurerTIHIpLvW206JFwKpVQBETC6iUHnoIeOIJue+Jq3CpN2nMrqXeTNB2unYNCAhwzkby\nnu7HH4GYGHkwQsWKrrsPEzRpjHtxOFPFisDIkbIXTY6ZORMYP961yZnIClhBl8KJE0BoKJCaCtSp\nozoa95STA7RqJavnmjVdey9W0KQxVtDOVrcu8OSTcvYBlc2sWXJhiquTM5EVsIIupfR0uTfHkSNA\ntWqqo3Ev584BQUHADz8ADRu6/n6soEljrKBdITgY6NEDdq98o9998AHQu7c5yZnIClhBl8G+fUBs\nrOyjVqigOhr3cO2aXDH45ZdAy5bm3JMVNGmMFbSrhIcDYWFAfLzqSNxHfLz8dzMrORNZASvoMtq+\nXe7NcfCgXGVIRbtxQ+5pEh8PdOxo3n1ZQZPGWEG7UpcuQO3awNq1qiPR37Jl8pxHM5MzkRWwgnbA\n558Db7wBJCXJE1iooJs35dzxhQuB++83996soEljrKBd7eGHZXtj3TrVkehrxQrA19f85ExkBayg\nHbR+vdzMf98+VtF3ys0FmjWT+z53727+/VlBk8ZYQZshNlbuKbFmjepI9PPxx3JJfBF76RNRCVhB\nO8HGjcCkSXKXNs7okGw2oEULubT7wQfVxMAKmjTGCtosMTFA9epyv2iSVqwAatQAHnhAdSRE7osV\ntJNs3iy30ExOZhV9/bqcubFoEaDyjFZW0KQxVtBmeuABOS962TLVkagXFwc0aaI2ORNZAStoJ/r6\na+CZZ4BDhzx3M/rLl4GQEDm7JTJSbSysoEljrKDN1rkzEBEBzJ6tOhJ13n1XrrJUnZyJrIAVtJOl\npMhEnZIC1KqlOhpznTkj99z4739lFa0aK2jSGA+NVWXUKKBSJeB//1d1JOZ68UW5MdLcuaojkZig\nSWNM0KqcOCFX0O3eLTcJ8gQHDsjl3AcO6HNeIxM0aYw9aFXq1gVeegl45RXVkZhDCGDCBOD11/VJ\nzkRWwATtIpMmyQp6yxbVkbjehg1AdjYwerTqSIishQnaRSpVkjMaxo6VCzes6vp1YOJE4J13gPLl\nVUdDZC1M0C7Uu7c8xXrWLNWRuM6sWXLGRkyM6kiIrIeDhC6Wng60aye3I/XzUx2Ncx05ArRpA+za\nJX8Q6YaDhKQxDhLqIDhY9mYnTFAdiXMJIT+vSZP0TM5EVsAEbYLXXgN++MFa5xcmJgLHjgEvv6w6\nEiLrYovDJN98A/TvD/z0E3D33aqjccyZM0DLlvIHTrt2qqMpGlscpDEuVNHNiy8C588DH32kOhLH\nDBgA1Kun/+AnEzRpjD1o3fztb3LHu/XrVUdSditXypNj/v531ZEQWR8raJN9/bVsdSQlAfXrq46m\ndI4dk7u/7yIyAAADwklEQVTUffEFEBWlOpqSsYImjbGC1lHnzsCIEcCgQfLcPneRmwsMGSJnbrhD\nciayAiZoBd54A7h6FfjXv1RHYr+//lXuVPfnP6uOhMhzsMWhSFYWcN99wOrVsqrW2ebNwNChcm8R\nd2rLsMVBGmOLQ2f+/sDSpcCTTwI5OaqjKVpOjmzHLFvmXsmZyAqYoBXq2VOuMOzbF7hyRXU0BV28\nKPcTefllHgBLpAJbHIoJAQwcKAfhli8HvL1VRyTdvAk88ojcP+TDDwHDrl/I9MIWB2mMLQ53YBjA\nwoXyFJbx42XCVk0IGUtuLjBnjnsmZyIrYILWQKVKwKefysNWp0xRG4sQwJ/+JGNZtYp7PBOpVE51\nACTVqAFs2gR06gRUqCCTpApTpsgTUv7zH6B6dTUxEJHEBK2Re+4Btm0DHngAuHBBLqc2q71gs8mt\nQzdvlsm5dm1z7ktEReMgoYZOnwYeegho3hz44AOgYkXX3u+33+Q855wc4LPPAB8f197PLBwkJI1x\nkNBd1a4tK+lLl4CuXYHjx113r8xM2Va5cUNWz1ZJzkRWwAStqSpVgI8/BmJjgYgIYM0a576+EHIQ\nsG1b4Kmn5L0qVXLuPUpj2bJlaNWqFcqXL4+5c+cWe21cXBxCQkIQEhKC8ePHmxQhkfmYoDXm5QW8\n/jqwbh3w6qtyF7zMTMdfNytLLo5580352hMnqp9KFxERgcTERAwcOLDY6zIzM/HWW29h165dSEtL\nQ2pqKhISEkyKkshcTNBuIO/Q2ebN5U5yEyfKA1tLKytL7kYXGSkfe/cC7ds7P96yaNasGUJDQ2GU\n8JNi9erVePTRR3H3rWNphg8fjsTERDNCJDIdE7SbqFJFVrz798vKuk0b2f6YPx/Izi58gYsQ8lTx\nBQuAHj1kcq9aFUhJka9VoYL5n4ejsrOz4e/vn/+8UaNGyNF5MxMiB3CanZtp0ACYOROYOlUubtmw\nQW5f+ttvQEiITMDlygGnTsnEXbky0KULMHw40KeP62eEFCUqKqpAIhVCwDAMnDhxosTKmcgTOTrN\njsipDMNYDOB7IUShI4WGYUwC4C+EGHfr+eMAhgghehdyrQAw9bZ3bRNCbHN+1ESuwQqadFRcOb0G\nwHbDMKYAOAdgOIBlhV0ohGBZTm6NFTRpwTCMAQDeBlATwHUAlwE8KIRIMQxjKoBjQoj5t64dDuB/\nIBdKfQlgnOB/ZLIgJmgiIk1xFgcRkaaYoImINMUETUSkKSZoIiJNMUETEWmKCZqISFNM0EREmmKC\nJiLS1P8DwR8ewwKKM5sAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x9ab1160>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "# 通过set_color去掉不想显示的轴线、通过set_position把轴线移动到特定位置\n",
    "x = np.linspace(-np.pi, np.pi, 500) \n",
    "y = np.sin(x)\n",
    "\n",
    "plt.plot(x, y)\n",
    "\n",
    "# gca get current axes，用ax指代当前的图表\n",
    "ax = plt.gca()\n",
    "\n",
    "# 隐藏上侧和右侧坐标轴线\n",
    "ax.spines['right'].set_color('none')\n",
    "ax.spines['top'].set_color('none')\n",
    "\n",
    "# 将下侧和左侧坐标轴线移到图中央\n",
    "ax.spines['bottom'].set_position(('data',0))\n",
    "ax.spines['left'].set_position(('data',0))\n",
    "\n",
    "# 设置坐标轴刻度标签位置\n",
    "ax.xaxis.set_ticks_position('bottom') # xaxis类控制x轴\n",
    "ax.yaxis.set_ticks_position('left') # yaxis类控制y轴"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 设置figure的大小、长宽比和DPI\n",
    "figsize参数、dpi参数"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "fig = plt.figure(figsize=(8,4), dpi=100)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 调整图表大小\n",
    "Unfortunately, when saving figures the labels are sometimes clipped, and it can be necessary to adjust the positions of axes a little bit. This can be done using `subplots_adjust()`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 116,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ISLeraqjiyfVPsnjNYlZsW8EFJ17AvFPmMXvsbN3CPYnogkQRSSqV9ZU8/f7T/PG9P1K8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\n0iH/H+vy426zS1yBAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x9d268d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "x = np.linspace(0, 5, 100)\n",
    "\n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111)\n",
    "      \n",
    "ax.plot(x, x**2, x, np.exp(x))\n",
    "ax.set_yticks([0, 50, 100, 150])\n",
    "\n",
    "ax.set_title(\"title\")\n",
    "ax.set_xlabel(\"x\")\n",
    "ax.set_ylabel(\"y\")\n",
    "\n",
    "fig.subplots_adjust(left=0.1, right=0.9, bottom=0.3, top=0.7); # 调整图表的大小，四个参数分别代表图表四个边框所在位置（归一化0到1）"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 等高线"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 117,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "alpha = 0.7\n",
    "phi_ext = 2 * np.pi * 0.5\n",
    "\n",
    "def flux_qubit_potential(phi_m, phi_p):\n",
    "    return 2 + alpha - 2 * np.cos(phi_p) * np.cos(phi_m) - alpha * np.cos(phi_ext - 2*phi_p)\n",
    "\n",
    "phi_m = np.linspace(0, 2*np.pi, 100)\n",
    "phi_p = np.linspace(0, 2*np.pi, 100)\n",
    "X,Y = np.meshgrid(phi_p, phi_m)\n",
    "Z = flux_qubit_potential(X, Y).T"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### pcolor()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 118,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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IyMi49JFfvA5nqZ5ZivFadbUmUU5XdsJ3CWDoxzKqnhCFvrqqD1HuX3KVcmyK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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xd9272b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import matplotlib as mpl\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "\n",
    "p = ax.pcolor(X/(2*np.pi), Y/(2*np.pi), Z, cmap=mpl.cm.RdBu, vmin=abs(Z).min(), vmax=abs(Z).max())\n",
    "cb = fig.colorbar(p, ax=ax)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### imshow()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 119,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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QbTA02y9QNtAjtgooBSSjh1VRKB9oR1Ub2esUe7ZG42/gtzWZNSJ+H74cCvsd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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10ee2dd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import matplotlib as mpl\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "\n",
    "im = ax.imshow(Z, cmap=mpl.cm.RdBu, vmin=abs(Z).min(), vmax=abs(Z).max(), extent=[0, 1, 0, 1])\n",
    "im.set_interpolation('bilinear')\n",
    "\n",
    "cb = fig.colorbar(im, ax=ax)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### contour()和contourf()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 120,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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HmoekCjpNYT+hMvcWRDaBTPRYfvkK2v2lf/RfuNumE1x176sffBMicmlKx1+k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QkIfbqvf1o0GTnf8IV+mhOYVU+6r3ihd0cSWBFzn7aqQjYDAbNdlqmsa7xJ6kj/CHOjYcIeyhcD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\nqXB8offx8fGpcP4PwMuR6XRXwIsAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xd7c4358>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import matplotlib as mpl\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "\n",
    "cnt = ax.contour(Z, cmap=mpl.cm.RdBu, vmin=abs(Z).min(), vmax=abs(Z).max(), extent=[0, 1, 0, 1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 121,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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a+gHhjKoSgFQW67A43gj2H47U6fY+sCxYuBX+Mdq0VTFuJhPNo4STSyml5JDP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L4yrF3o8Ewx2vwOn10LGVmed0wpy34UQkfLMc2lbqbP+aXFaSxCZ6cZmraiuCu2nHNHdZJ6UF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\nYKpxvavByUToXINRBxg+/DqGDl3F22/3vMirttsdREVlcehQMn/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7bikzTnqj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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112cb6a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "matr = np.random.rand(21, 31)\n",
    "cs = plt.contour(matr) # 第一个参数是矩阵；第二个参数是等高线的层次，如果不传入第二个参数，则matplotlib会自动计算最优的层次数\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 122,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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oUx08Hp9UVEzowwfx4oX9/GJp2LDqU+NJy8/IwvP/kbLEIrK4eW7c6El6erbl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\niSdMgnkAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xa9f9dd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "plt.contour(matr, 2) # 第一个参数是矩阵；第二个参数是等高线的层次，如果不传入第二个参数，则matplotlib会自动计算最优的层次数\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 123,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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o/zYAfwx8Bfhs7npn7Bc/BTwKnDH6+zTglNx1z9AOXxj3A+Ak4L8B781d9wht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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xa26ec88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import matplotlib as mpl\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "\n",
    "cnt = ax.contourf(Z, cmap=mpl.cm.RdBu, vmin=abs(Z).min(), vmax=abs(Z).max(), extent=[0, 1, 0, 1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 124,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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bdxpX9NTcifZtwiW6h6YPa6gKFlE1MRgRW4KoxCZ4ykJiSFvhGHLJKYeIW0ic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\n/wH38BObEnnO3QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xebb3198>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "csf = plt.contourf(matr) # contourf对contour的等高线间隙进行填充，深蓝色表示低值，深红色表示高值；可以通过设置cmp参数，用colormap填充等高线\n",
    "plt.colorbar(); # 绘制一个颜色条（相当于图例）\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 125,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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LdM0SRTSBeKlPuiFoFvAfKIW/6VFp68G+UNIplPxFXKcB54ge+J/p+fQHUa2l//DCqfDY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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xdac0ef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "x = np.arange(-2, 2, 0.01)\n",
    "y = np.arange(-2, 2, 0.01)\n",
    "X, Y = np.meshgrid(x, y) # np.meshgrid将x、y向量转化为坐标矩阵\n",
    "ellipses = X*X/9 + Y*Y/4 - 1\n",
    "cs = plt.contour(ellipses)\n",
    "plt.clabel(cs); # 为等高线绘制表示值的水平的标签\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 向图表中添加表格"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "语法：\n",
    "table(cellText=None, cellColours=None,\n",
    "    cellLoc='right',colWidths=None,\n",
    "    rowLabels=None,rowColours=None,rowLoc='left',\n",
    "    colLables=None,colColours=None,colLoc='center',\n",
    "    loc='bottom',bbox=None)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 126,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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nlyV+EzM1asDUqTrTZ+lSv6MxiS5R5u9HcvHF2rf/9dfz/1pL/CamzjpLm9d1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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xd8f9828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "fig = plt.figure()\n",
    "axes = fig.add_axes()\n",
    "y = np.random.randn(9)\n",
    "\n",
    "col_labels=['col1','col2','col3']\n",
    "row_labels=['row1','row2','row3']\n",
    "table_vals=[[11,12,13],[21,22,23],[28,29,30]]\n",
    "row_colors=['red','gold','green']\n",
    "\n",
    "# plt.table返回一个Table对象实例，可以访问该实例的借口，对表格进行调整，最后用plt.add_table()方法把表格添加到相应的坐标系实例中\n",
    "the_table = plt.table(cellText=table_vals,\n",
    "                  colWidths = [0.1]*3,\n",
    "                  rowLabels=row_labels,\n",
    "                  colLabels=col_labels,\n",
    "                  rowColours=row_colors,\n",
    "                  loc='upper right')\n",
    "\n",
    "plt.plot(y);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![](file:///C:/Users/31537/Documents/GitHub/Seaborn/chart suggestions.png)"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3D图"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To use 3D graphics in matplotlib, we first need to create an instance of the `Axes3D` class. 3D axes can be added to a matplotlib figure canvas in exactly the same way as 2D axes; or, more conveniently, by passing a `projection='3d'` keyword argument to the `add_axes` or `add_subplot` methods."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 127,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from mpl_toolkits.mplot3d.axes3d import Axes3D"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 128,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "alpha = 0.7\n",
    "phi_ext = 2 * np.pi * 0.5\n",
    "\n",
    "def flux_qubit_potential(phi_m, phi_p):\n",
    "    return 2 + alpha - 2 * np.cos(phi_p) * np.cos(phi_m) - alpha * np.cos(phi_ext - 2*phi_p)\n",
    "\n",
    "phi_m = np.linspace(0, 2*np.pi, 100)\n",
    "phi_p = np.linspace(0, 2*np.pi, 100)\n",
    "X,Y = np.meshgrid(phi_p, phi_m)\n",
    "Z = flux_qubit_potential(X, Y).T"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 曲面图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 129,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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7tWRBSUgwdRuSKsKuOtCyqpclIGeiW9gy5GAvBbv2zSTZUl3Xkc1m8cEPfhAf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y/z3yQn6PZ2GbruYHi4AkIoTFOOdF4+enQStk2hqnLQ5CuTyQRMD5ZloVKpBDR+bJnLhLBYz8ps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\nhBBCiIWiZIAQQgghhBAL9X/y52OH6SmvgAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xdab29e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d.axes3d import Axes3D\n",
    "import matplotlib as mpl\n",
    "\n",
    "fig = plt.figure(figsize=(14,6))\n",
    "\n",
    "# `ax` is a 3D-aware axis instance because of the projection='3d' keyword argument to add_subplot\n",
    "ax = fig.add_subplot(1, 2, 1, projection='3d')\n",
    "\n",
    "p = ax.plot_surface(X, Y, Z, rstride=4, cstride=4, linewidth=0)\n",
    "\n",
    "# surface_plot with color grading and color bar\n",
    "ax = fig.add_subplot(1, 2, 2, projection='3d')\n",
    "p = ax.plot_surface(X, Y, Z, rstride=1, cstride=1, cmap=mpl.cm.coolwarm, linewidth=0, antialiased=False)\n",
    "cb = fig.colorbar(p, shrink=0.5)"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 线框图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 130,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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oUR6++ir78xLXl+oe1EZHEqfb1+PxxPpdJp6jWGyyqWfc30Q0EoE77vASjcJ1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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xc83ac50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d.axes3d import Axes3D\n",
    "import matplotlib as mpl\n",
    "\n",
    "fig = plt.figure(figsize=(8,6))\n",
    "\n",
    "ax = fig.add_subplot(1, 1, 1, projection='3d')\n",
    "\n",
    "p = ax.plot_wireframe(X, Y, Z, rstride=4, cstride=4)"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 映射等高线图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 131,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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38aVPl2BOGhnboL/B3NdflccueTp+cwrNz7zaYzC3ci8p6x4PKPd47yQfjx92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\nRUXnMmfOErRaExUVu+jubiM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rvsiZvzzOoqRWfnDPNP74s3JkGT7/jSr+/M8Gjh07yYsv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UAAAg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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xc0df550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d.axes3d import Axes3D\n",
    "import matplotlib as mpl\n",
    "\n",
    "fig = plt.figure(figsize=(8,6))\n",
    "\n",
    "ax = fig.add_subplot(1,1,1, projection='3d')\n",
    "\n",
    "ax.plot_surface(X, Y, Z, rstride=4, cstride=4, alpha=0.25)\n",
    "cset = ax.contour(X, Y, Z, zdir='z', offset=-np.pi, cmap=mpl.cm.coolwarm)\n",
    "cset = ax.contour(X, Y, Z, zdir='x', offset=-np.pi, cmap=mpl.cm.coolwarm)\n",
    "cset = ax.contour(X, Y, Z, zdir='y', offset=3*np.pi, cmap=mpl.cm.coolwarm)\n",
    "\n",
    "ax.set_xlim3d(-np.pi, 2*np.pi);\n",
    "ax.set_ylim3d(0, 3*np.pi);\n",
    "ax.set_zlim3d(-np.pi, 2*np.pi);"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 改变视角\n",
    "We can change the perspective of a 3D plot using the `view_init` method, which takes two arguments: `elevation` and `azimuth` angle (in degrees):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 132,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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VJe85YU8etFadFEXZUtWJBgNTrHqtuVwbUW8/10a4iT+/3y8EFsW/87rC7EVYWDG7ilp2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I3d4nUz8tFjd6vZV0egOz2UMstkpHxwgajYAglKhWBVKpJFar+Iw4nd0kkzupoik8Hj+RSBC7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\nOvuJRpslmYVCDpPJhNFoxuMZYHN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zOBwd9bnX3lyjs3OYjY0qN2/ebwuU2W8Q/CI+jAcl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A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MDe3D613ipZe+zblzx1lYmGlQtwIBLzt27KdarZDNZhpUo0wmxeysYDx7d3i9y6yuzrNv\n30NNvyWZjPOVr/wW//RPX2V1VYbB8AgajQWv91lCoedRKr243UZ27x6mowNyuTPIZJPIZNfQaG7h\ndkfZvl3EoUNuRkZUKBQe0uklSqUSOl0P99zzcT784f+EyVTE73+J27d/gFhsprNzBJdrCI9ngsnJ\n54nFplEqtSgUO0ilcpw+/d9YWHiFVGoGnU5HtarjxImbfPe7/y/hcJyTJ19gba3VwHdu7haFQpad\nO+/jvvseJxpNcuHC6y0qjpVKlRs3LjA8vAe5XE5nZy/33fc4S0tLnDv3SmPcikRChEIeBgd3bXlf\nl5Zm2LnzQR5//JPce+8xjMY2gsFFLl58iWef/RrPPvuvpFIxzpx5iTNnXubMmZc4efJZXnjhG5w8\n+SIezy1u3TpLJhOkvb2DBx74CAaDhaNHf7mhUlz3/Vpbm6OnZ6hREa0nDTyeeTo7B+76jRWmpi6S\nSqUaYMpiMXL48Ec5cOBRpFIFvb2t1hbpdIJMJrOpNDsIMusOx4ao0YbsvIRoNIhMJm/y+LwzwmE/\nCoXgISmXKxke3sXDD/88DoeDWGyNjo6OhgDN2zHcvTvq7/lmvnX/3lEulxvKkfWoC1Z8+ctfRiQS\ncd999/Hmm2827Cc+iNb4D9tjlcvl+Na3vsW5c+fw+/3s3r0bo9GIRCJ51wDVT1Kx2sozy+OJo9Vu\nGOR5vSubSn4CzM3dRqczoVLpGRw8zNTUi8zPXyCVKjf+JhCYx2x2I5VKSaXidHT0NcQaAHp69nPi\nxL8wMPAoy8sTtLdva+oFikSC9PWNIRYf5tatc2i1Zjo7exCJIBhcR6XSodOZ0OnM+P1LqFRtrKxM\nIJGUGR19mFAojMezRnu7m9XVhQadTKezk83GmpTnPJ41nM5+pFKIRAKUy0NIJGL0egeZzKmaeo6e\n7dsfY2XlOidPfpNEIoVeP4hMJkcu11CpSCiV8lSrebRaE5XKEMHgRM1rScL09BwHDx6hWoVSqYhe\nb8brXaW7e4AbNy7h96/R2zvERz/6q5w8+Tzbt+9ruh5tbU78/gUuXjyORmNkaGgciUROKORtOLR3\ndg6yvDyD07lRZRwZ2cnrr/+gibpQqVS4dOl1entHGwaYu3c/yKVLr3Pu3OscOHCYWCxIsVhFp2uj\nWq0yNXWFVKrE0NA9eDy3kcmkFAolrlz5Hun0MgqFEputh7W1FaTSIpOTa6TTCXQ6I3q9k2DQh1Kp\nJpfzYjIJk1wulyGZ9KFS2alWgyiVG+DbZutBqaxit1u5du0kmcw6IyMbi8xIJMjwsNBYbLX2s7w8\nQSoVRas14vOtotMZmZ09hUQC/f0PEYutEAot4XT21Z57VU2VU4LJ1Mn8/EXS6TQqlbJJzSqTKaPR\nqLDZ2llevk0mk0at1qDVWgkGr7W8G9lsGa1WTTwexmJxIperSCSagZBMJsNgsOLzCeqQ9bh+/SJG\no0ANuX17hmDQQ0dHDzKZIFFbLBYpl8ssLflJpVI/dq/mZl5DP62oL8IFJSxxDQwq3hP1qZ/luHOM\nv9PP6gtf+AITExOIxWIUCgXf+MY33laD9/3338/TTz+NXC5nfHyca9eucfDgQcRicYMadPez9FYK\ngfUEzGaAq77t7tgKpNWpUgsLqxQKFsxmfeNYhUIehUKgEwaDHhKJFEeO/BIymZxcLoPHs0AwuMr0\n9ASrq/PYbG5WV2doaxPmJxBRLBaZmDhBR8dQjUa9EfF4mKtXT7Fz55GGt2A2m+Lll/+F559/kUxG\nS7VqRqXqJJm8TFtbhsFBDbt2PcGuXQO4XHaMRiNGoxGtVvuW71UikWB5eZmpqSlu3JghnZ4nmRTT\n19eB2WwmHI5QLAYJhc5hte5l795PEAjcoFwWYTK50evDrK6mWV19FZ/v65jNuxgf/1VMJitzc6eJ\nRhc5e3Yeq1VCIpFkfHwv27fvQyQSEYuFmZ29xr33fqgx/t133zEuXjzB6dMvsm/fQw3Ri4WFGcRi\nEd3dw41z1+uNHD78BNevX+T48R8wPn6A2dlpBgZ2IBYLhu93V4RSqRhe71pDDl2vN6HXuGafxgAA\nIABJREFUmxqCEFNTl9DpbIyO7qZYzDcp6E1PX+LIkV9k585mILy0NIVabajZWwjG8OVymfn5SSQS\nFTpdG8VisUF1CwbXEYsVjf0jkRCrq/N4PPPMzd3kgQeO0d8/2mQuvLw8g8Fg31RK3edbwWx2bnqf\n02mhWl9P+NV9NIV3C3y+VczmrYWHfL7VFlNhqVSKw+FmaMjUaHnQaDQNEaG6ufu/5fNUrVbJZrOb\nvsv/3lE/l7uTMn/913/NJz7xCez2DeVDkUiE1Wp9L07zZyLec2AViUT4tV/7NRYWFpDL5QwMDPD3\nf//3mM3mpv3qPiEdHcJidSufkFKpxF/91V/xla98hV27dtHZ2cnLL78MCGDr/ZalfSsT4nw+TyhU\nwG7XN847EFjeVFGuUqmwsrKI3b7RTDw8/AjXrv2QUKjAjh33UKlUCIUWGBk5QqlUJJ3ONOSy66HV\nWhCLVQQCU6hUItrbj9TOE+LxCKVSBa1Wh1a7j3B4nrW120gkYlyuLvx+L3a7UIq3WvuYnHwTmUxC\nZ+cYHR2jiEQwMzOD09mLRCIIGYTDgVpVR4pOZyYW82OzdVEqFQmHvQwP72F6+g2USiOhUAC73YFc\nrkSpVNW8r4QJubNzB93dV5mYOINUqqFcrqDXW0kkgqjVphpQMFIsiqhWJRQKfrRaCx5PmHQ63aDf\nuFzdLC3NsLa2iNksZOAkEgmFQgGNxsDq6gK9vdsag2Bv7wCRyCoPP/xLLC/PcPXqCVKpHHNzNxvA\nqqurn5mZK00iFoLXyjampi7VTCMrXL78OnK5muHhZg8YQZb3DU6dehmJRITTKVQWJRIJp09fqE1Q\n3Swvv0ixmCWdDiGTFbFad5JKLWA2DxCNFtm2bSc+3w0CgeuAsfa7chiNNjyeCDabtsYbX0ImEyTf\nk8l5VKoNYFUqZVGrbYjFCTQaGRbLbq5cOYfL1U1bm4FqFXQ6Q+MZtNv7WFubZnj4IH6/l3I5hk4n\nY3DwYSqVClZrb41+miMWC6PXW1AqlSws3GZwcJS2NiPpdASx2IJYLCgLZjIpxGIFEolQgbZaHfh8\n6/T2DqLXW8lmY1SrFUSi+nuUo1AooddrCYX8NWClJpXKttDv7PZ2/P4NYOXzrRMMenj44ScAsFgc\n+P3rDXlkEDUAVjzehtfrxWq1/ljmve92D1QduCkUivdFg/TPYiwsbFQcnnvuuca///mf//nHOl57\nezvt7cKibf/+/UxMTHDw4MEGjXszCmC9+X8rCuBmi7RCodAwH64zN97qb+rfEw6HmZ6O0tGxp+lY\ndTphpVLh+vXTDA/vbQjBKJVqenu309u7nbW1OUolKaOjB0gkQoRCc6RSMQqFDOl0lFAowtDQDt58\nM1BLeoopFgvcvHkZp7ObyclTXLmSJ5mMc+LE9/H71chkPUilPtxuHTt2pHn88Y/w4IMP0tbW2lvz\ndkKv1zM2NsbY2Bgf+9jG57FYDJ/Px9LSGqdOXePUqav4fEvMzWmxWPaiVusIh1fo6BglGp3C5dqD\nx+MhnQ5y69b/Q1fX49hs2xCJJOh09zA390PS6RWi0TDRaIjx8YNcvPgmw8O7MRg2gKVEImX//sNM\nTk7w5psvsm/fA6hU2gYAuzskEim7dh3E63Xz5pvPE48H2LPngTs8q5r3v3nzAp2do039Rhv3Nsfy\n8gwHD364RZEvkYiQzWY5dKh1/bGwcJOhof13nZcEv3+R3t6RhvhSfYxbXZ3BYulgevoaHs88hUKG\n9vYuenuHUKnUjI+3VjB9vuUtqX5+/zrt7d2bbvP5VjGZnI3+vTq9tv68h0I+Bgd3bPq39e0jI629\nZul0jLGxjST32zHcvTs284l6r6JeabuzQr6+vs4LL7zAiRMn3sMz+9mL95wKKBKJ+PznP8+tW7e4\ndu0avb29fP7zn990309/+tNMTEwwMTGxpfmiUNqN8sILL/DMM880PSTvdkbgnVSs6vSLdDpNpVJB\nqVSiUqmaXsBIJAIYauctIp1OkskksNtbpVHj8TjxuB+bbaO6JZcrcTp3kcutE4v5CIVWUCqVaLUm\n4vEwGo2u5YXO57PodF34fFOYzb2IROJaD1WBYNCD2eyoeegocLu3o9XK8flWmZubIZfLYLHYKRSy\n+P2LRCIL9PTsx+US+PHhcACxWEpX1yjR6BouVx8rKxsLFZ3OQSwmUP7W19fQ6w20tVmRSMTodJom\nOqBGY66JaNAwPiwURLhcuyiVwqysXEOl0pPJxFAoTKRSfnQ6E5VKFrv9ABKJjEqlSCRSZmrqSkOi\nWqVSc+XKeXp6+tmz5wEUCkWjt6mjo5P19UVyuVxDDEDItEqJx8P09Y3y8MO/SH//EOfPCxzsVCpZ\nE7HoYnFxqulaCwaWYQKBdSYm3iCTybBv3wMtz0mlUmZkZB8ymYyrVy/Q1dWDRCLB611lbS2I2dxP\nNpslkfBgMrmRy0UYjQMkkwGMxh5SqXgt6ymiWi2i0TiwWtuZmztDMhlFq1UhFoNcLvRbxWJryGR6\n5HIpYrEMmWyjoTYeD2IyuahUBMn1nTsPMza2j3DYz7lzJ1CpmukUHR1jRKNLhEJePJ5JVKoqQ0OP\n1PqcREilcvR6K4HAMl6vQOHs69tGNBokHo+i1ztJJPy1d0NKsVhgYWEOt3uIYjFFsZjH4XATDHqp\nVMrI5WrEYhGZzIaQxMrKYk2NTEI0Gql5tEkplWTk8820v/Z2N6GQv+Fpd/XqecbG9td6Q8Bu7yAY\nbKasCiFCpTKSSGTRaDTk83ni8fj7KplzJ3Cry29/EO88vvjFLyIWi5mammrZVqlUeOqpp+jv72dw\ncJB/+qd/etvHveeee7h8+TLr6+sNYHX3s1Onh21m6rtVz9Wd/VN1Glb9b7YCaXX7kZdfPsfMzCLr\n6/MNNUGhZ0eoGszMXEEq1dPd3UrPKhRyTE5eYN++h+nrG2bXrvu4776PcOzYJ3nggZ9Do7HwkY/8\n74yOPkhHxw7s9m0YjZ2EQiF27/4Q99//C+zde5RAYIVnnvkm4bCJ7dsf5Mkne/jd332UF174b3z5\ny3/Mhz/84R8bVL1VGAwGhoeHOXbsEf7Lf/m/ePHFr/Jnf/YLHD2qRSJ5hbW1F5mZeZ3nn/9jAoFl\nuruP8cQTn6en52HyeRUrKy/h8Zyv9ZOusHPnb6JQjDI9HeDEieP88z//15rk/HDLdwteVHsZHr6H\nc+fe4JVXfoDb3d8EwO4Om00wVB8a2s9rr32f27evt9AJw2Ef0WiMoaGxTY8xO3sNs9m1qcz57dtX\n6Ozc1lIx8nqXqVQkLSIU8XiYdDpFe3tXw0stkYhz8+YE58+/wcrKLdLpIKOje3jssY+zY8chUqkI\n7e2bS7+HQn7a21t7vkqlEtFocEvQFQyuN7wgS6UylUq1kQQoFHIkk3Fsts0rVrlchkwmjcXSWn0W\niTKYTK3XqW64q9PpamqZaTKZTEvfXF2V+t02ln87cbdgRf2zL3zhC/z5n//5+wL4/SzFew6sjEYj\nDzywsZg8cOAAKysrm+77dhYoIpGIL33pS4yPj2+6cHivFzn1huR0Ol2T6lRvmdFYXw+jVG5U7vz+\nNazWzcvdCwuCq7lS2Sz7WSiU6Os7xPz8adbWbjb8FmKxDTl1kWjjukQiAarVMna7uyZMkKNSEXyo\n4vFIk9u5wzFKLhekp2eQublJQEIqFeb69RdQqRTs2nWMeDxwx+9Zor29G7O5i0TCi8FgBqoEg4Jo\nhcnkJh73UC6X8ftXcbmEqoBOZ0UsrtY8rnKIRILEeiLhq1X7SrVBqoLNZsNk6kYkKrGyMkW1WkEu\n15LLRdBoTJTLxVpVTkc6vUw+L2N6errm9xTm2rWzDA6OolQ2e46IRCLc7m4SiSgikZBpqgMsh6OT\n9fV5QKjS7NhxgPHxe8hkIpw8+QwXLpygrc3E6up80+Aqk8mx2br43vf+kUKhxMGDRxoLJoGuUCSb\nzVIsllCp1DgcLhwOF5cvnyKTSfPSSz8kmy1itY4yOfkmUmkFo9GGSFREo+lAIimjVFqIxyNoNALg\nicfXkMkUdHfvQ622kkgsE40uo1AYkcvlJJNB1Go9mUwOkSiPTNYMlOLxAEajpcZPF5HLpdBo9OzY\ncaAGnv0sLMzUjIwFpT6TqZ0TJ76FSiVidPRYyyBttQ6wvHyVQqGI1epAKpXT3T3I3NwUZrObWGy9\ncW2r1SrpdBS7vRO5XE006kej0aFSqRrPkVptJJkUhCSKxQKhkJeeniHUai0ikUA7EULTIiCi1eqQ\nyZSEw36mpq5iNJqaFgwGg4FqVbxpI7peb2B1NYhEIkGv16PRaGpy9W8PYP17VKzuPP4HwOqdx79l\nFPyv//qvLCwsMDc3x5kzZ/iTP/mTLeezu6O3txev18vRo0e5ceNGEwiCjbljM4XArSTZ7wZcdx5z\nK5BW77OYmVnEaNzJyMgh5udneO217zA9PQGIaoqTURYXp9m169Cmv+f69VNYLJ04nc0y9YVCjosX\nX2V09BA9PQN0dHTS0zOIXq9ndvYSAwP3sGvXPZw69X2+8IVf5Pjx45hMI/zn//x/8Pu//xBf/OKn\n+d3f/WxNIU++ZTXgpx1KpZLHHnuUr3zlj3nxxb/hH/7hkzz8sAKbLUuplGNu7jX8/jkGBu6jp+ce\nwEEstohOp0EiEXPp0g+xWO6ho+OjzM+XWF6Osb6+zPz8FPl8jmq1VbCiq6ufjo4hlpaWyOWyLUDp\nzrh16zoGg5F77z3KwYMfJpPJcvz495iZuUqhUABgcvIiAwM7N61Y53IZVlZmGR7e1bItlYrh93vp\n7x9p2bawcJXu7m0tny8tTeF09pLP5/B6V7h48XVOn/4Rc3OXcTp7OHLkl9i9+yHsdndDWMXvX8fl\n6m45lt+/ikbT1uIFBgJw0mj0m8r4VyoVwuEATqeLapUahVXeqOL5/esYjdYtnyG/fw2j0d5Cp8zl\nsmg0gsXFVlFX1NPphB7lVCpFNpttKH5u1Qv5XsRmghUnTpxAqVRy//33v4dn9rMZ7/0dvSOq1Sp/\n+7d/y5NPPrnp9qeffprx8XGOHTvGuXPn3tFx4b1dSNQnxbpKYR1QbfVSCcZ6cXS6DapeILCyqbcD\nwNzcNDZbf8vn8XiUzs4RzGY3S0uXMZmESS6RiGIwtMqE+v0ecrk1RkYeQyQqEwwuIpPJSCajiMUy\n9PqNzKBQERvE651GpzMQiaxx4cJ36eraQV/fvTidI0QiyxSLRWKxMMViCZvNgVyuRqNpIxr14Hb3\nsbq6QLVaQas1IRLB3NwkarWmQSkzGBxkMmFMJiter4dqtUpbm4NEwo9IJEYmk+PzrWOzdSOXiwAx\nBkM7Wq2OXC5FuQzFYoZ8Pl2raFRRqWzI5VUkEjFLSyGi0TAXLpxgZGQ3Q0M78fmWW66NSiWcUzjs\nq8mfS8nnc5jNdrze5sVTZ+cgKpWGRx75BfR6LUtLN1lamuf557/JlStnuHjxBK+99j2CwSVMJicd\nHe6aQlEzoKpX0uoqSg8++DgdHd0cP/4jpqfX0GptNVnnIkajmXw+htt9kEQigFwuRaez1ZzkBUVA\nwY+lD5FIglSqweEYYmnpPCDQeiKRFbRaJ0qlilIphVSqaUwEAOl0hFIphc3WQ3v7MAsLlwBBdEOv\nN3Hw4CNksxkmJs4SiwngplQS4/NdZd++n0MqbW3EN5u78PsXMBpNjXfUbncjk8mJRFKUSlkymQQA\nq6uL2O0udDo9bW0OwmEvuVwOq9WJz7cGVFGpjA0Bi7W1JUwmK0qlGrVaj0IhIxgUeqtEIm2LHQOA\nzdbB7ds3WV9fYGxsX+Nz4RqIsNnam2T26yGTycnnJcTj8dr/Zeh0OrRabe0diJHNZrcEWO920ue9\nTir9rEfdKPjv/u7vtryW3/rWt/jN3/xNACwWCz/3cz/Hd77znbd1/Drw2bt3b6PP6s7KVR0gbUYP\n3EqS/e7+qTu9rDYDafXv8fv9zM8XsNl66Ojo5vDhn2d4+F6CwTBvvPE9Llx4hZMnf0Bf366GP+Kd\nsbIyQzgcYWys2curUqlw4cJLmEyd9PVtLNJ9vkVOn/4hOp2F+fnz/NEffYxXX/0RMpmTD3/4V/j9\n3/91jh3r4NFH92Kz2d7zhn+5XM7Bg/v5sz/7LF/84m/wqU/dR29vBa/3FFev/pByuYTBYEcmc7Gw\ncBqFQsng4H6Wly/h8fgwm/eTy5mYnU1w5sxr3Lx5blNRmVgszPr6HJ/4xFOUy1JOnPjRpkmdRCLO\nysoM27ffS6FQwGy2cvDgI+zb9yjRaIxXX/0Or732HVKpNL29rSAIYGZmAru9d9P7OTNzGZer1YMs\nFguSTKbo6Rm86/MIk5OX8XiWOHHie/h8c7S3d/Doo7+CxeJg9+5DSKXShsCFQEFfRa02bAqevN4l\nbLatFf+22hYKeVEqtahUaorFDQprPQKBdczmzQUv6tutVnvL58lkjK6u1s83i3q/VR2EpVKpRgVr\nM2Gaf+/YTLCiUCjwp3/6p/zlX/7lBwm4HyPeV/W93/7t30an0/HUU0+1bPvsZz/LH/7hHyKRSHj1\n1Vd58sknmZ6exmjc2kPg7gfiTpGGdyM2owLWOeylkqDIplar31aGIhaLUSppG5mSYjFPNOrHbn+8\nZd9cLsfMzFV6eh4lnU42qhOlkiAtL4AeORZLO/PzF+nr20+hkG/pr8rlciwtXae3twuTqQOFQs3k\n5MuYzR34/ZsPQO3tY0xN/Q2VigGDQUqp5KZaFV5QQTK1jWBwiVAoQkdHbyNTZDZ3EQ6vMDLyIGtr\nCwQCPuz2drRaK4uL17n33o80vqOtrZ2lpSsMDIxy+/Yk7e0ulEotUqmUXC6OUqnD719jeHicqakX\naGuzkUp56e6+l2QyxPLyTfR6NamUF73eSi6XRS43UamEyGZThMMVnn32/2P//ofo7OwnlUoyN3ej\n0bR7ZzidbjyeJTo6ehou9HK5nCtXKng8y9jtLiQSCS5XNzMzlwEYHt7D8PAe3O4bTE9fQK1WIJFo\n6O0dwGi0EQz6uHr1BFarq/Ec1RdQ9WfY51tBLJZht7djt7czNzfJ2loAg6GbSqVUE+qIYbfvRyRS\nksmEazL6SqRSOVqtlnQ6TjYbx2Lpp1qtkMkkcTr7KRaXCYXW0WgWa0a4olqz8SIajUCRKBQKNcXE\nKKVSic7Ox5BK5Vy58j3CYQ+xWASLxYlCoWJ0dB+BgIfZ2RuUSmni8dv09u4nEllvyDULEuXCb0ul\nYshkBqrVZl+pgYExrl8/i0plJBRax2qVEQ4H2LNHyJCbTC5WVycbohPz8zPEYjH0eivB4BzFYgG/\n38OOHQI4UqtNiEQF4vFwrZKpJh730n6Xyq7D0cGPfnSCBx44uukk73C4uH37GtDKu5dItPj9waZx\nSegf1DUam2OxWAMw3/18/XvQlT+IHy/ejlHwysoKXV0bFc7Ozk5WV7dStmyO8+fPMzEx0VDbkkgk\nDWD1VibBW0myb9Y/daeX1WYgrVgskkqluHx5DZttV+P5rFTKmM02XK4ustk0J078iPX1EGLxVaLR\ndUwmB0ajjbY2K4VChps3L7B//4daaGMTE68BytoYsUosFmRi4jihUBirtZ3JyfN4PPNIJGaOHj1C\nqRTlwIEejh4dw2AQFvzvp4Z/m83G/fcrsNkW6OlxEI3C2bM3mJ9fJJWqUK0WyWZlzM6+gURiQiaT\nU6kEEYkqlEoFpqcvkkxuJ5U6SzTqZ+fOB1GrdchkMsrlEhcuvMHIyF6s1nas1nbm56c5c+ZV+vqG\nGBgYb9yfK1fO0NMzilwu9E3V76vZbMNsPkIsFuF73/sqGo2Rkye/j8PRjdPZRVubwIhJpxOsry/z\n0EM/3/Ib0+kEfv8aDz/8Ky3b5uau0dk5TD6fJRTyEwx6iUa9hELrFItFenu30d091ADAmUyKeDzC\nPfd0IZPJqVYFb0bBpHkGp7OVBggCQNq/v9UDDQR6465dm1dV/H5BZr3uX3q3T1Q47G8C+K3fG2Bo\nqLWCVy6nsdk2N3LeKuoKrTKZjHQ6DQjz6nvpobpV5exv/uZv+NjHPobDsTXo/CC2jvcNsPq93/s9\n5ufnefbZZzfdfqfC0p0+Ie/XMmU9C1AHVO9UKcznCyORbPB3vd41DAbTphmO+flpLJYuDAYbN29e\nRqcz4HJ1k8tlaopzVUKheXbtepL5+TPcvPkmOp2tBgQFH6pqFTyeRSqVKIODn0AkEqHVmnA6h5iZ\nOUUup2T37lYueKlUIhSKoFan2Lv3c+TzeaamJhreQU7nMLdunUavH2iSO7VYelldvU6xmMft7mdx\ncQabzUGpJKZcTjdU8QAUCk1D4aheUtdotOj1FqLREMViCL2+DZ2uDb3ejFjcRiAwSblcoqNjjGTy\nDdLpAplMGItlmGj0GiZTDx7PItVqinA4w+pqml/7NUEVSavVoVRqCAY9DTGOerhcPczNTTZAl5AN\nltHZOYDXu4TBYEUsFiOXyzEanayuztHXJzjLDwyMsrw8jcXibIDUarWK2WxDpTJx69ZFxscPbapc\nOTNzlb6+0Tv+v4hSqSeVyiCTZSgUwshkWWy2cQKBZeRyOdWqlkwmi0ajr6l3zaDV2lCpdA2DbEFC\nVobTOcTt22cZHr6XeDyO3d6J15usSdQLcvSh0DrZbBCHYy8KhfA8d3fvZ27uDNWqge3bN7LTNls7\nxWKKS5e+SzarYteuAwSDM7jd25DLmye3paVZtm17gHD4JuXy7kYyQaXS4HB0sro6CayRyZSw29sb\ni7W2NgczMyepViuoVCqczg7W15dxu7tYWrrA8vI8BoOpAY60WjPJ5BxyuY5IJIReryceb61YZTJp\nstkMDkfzxFmn0tntTiYmTpHLZVAqmxvAdTojCwtrDA+39pxIpdKa0bAgRRyPx5sA1gdUwPdv1I2C\n/+Iv/uJdOX6hUOA3fuM3+MxnPsPs7CxAQxmwXpHazNS3bt57t7rjVj1X9b+v9/XeGYLBe4bLl2dR\nqfpRKjV3HKtQsygRk0xGEYlEfOpTv0u1WsXnWyMa9bO2dpFUKsLy8gwORw+zsxeZmxPV+ikrLC5O\nk0rlsdvbefXVb6JS6QmHfYhEWgYGXFy8+AqZTBq9votf/uX/jWx2no4OA4cP39e4RjKZbFPa0nsV\nxWIRiUTCvn07sVpXuHhxlV/91Y8SDkc5ffoiS0tplpbWKJd1JJNXkMm02Gx7sNtHMZtdTE4+Rzg8\nQbFoIJPJEo+nGB+/B5vNxZkzr2K3d9DVtbHw7+sbxmp1cuXKm/h8z7Bz530Eg37K5TwDA+Nbmsx6\nvQsMD+/lwIFH8XpX8PlWOHv2VaCM0WjG51vGYHBTKhUoFPJNgHhm5jIdHUPIZIJwUCaTIpVKEg77\nuXTpTdzufpaWbmIwmDCZnPT0PMC1ayfp6NhGX99QE3hfWZnG4ehq9DiJRGIUCiWlUpFAwEN//86a\n15q0kYSNRAKAZNO+r0QiWjOr37z3LBTysW3bXvL5fIvFTiIRo1IRbXpc4XuDSCTNLB2gJv6Se8uk\n/luFoHorQ6FQkMvlGtXm98ICqG6bcOe60uPx8Oyzz34gWPETxHs/MkFDqva5557bcrD0eDwN9aR3\n4hNSz9DVVWDeTTqMSCRqLJoqlcqPBahAmMiWlyPo9RtKNV7vInZ796aLr/n5KWy24Rofuxufb5nZ\n2etEIiHsdjd+/yIqlRqdzsrw8BFeeulv6e19oDYpVxpqOXNz53G5RlEqN/pqXK5x5ucnEImMKBTN\nE3E2m+LMmW9itXZhNrcRi/mw2boZGtrFzMwEIpEYvb6dUGgdl2tXkzqRXK5EozEQCq3jdPayvr7I\n6uoyyWQOjUZBsZhHKpVTKpWpVivodDZSqTBOZweBgIeenkE0GiuRyCrZrJgdO/bXKgN2slmh9ymZ\nFFTmtFozpVKGtbVruFz7qVbLNZ8RGVKpjmo1QT7f1sgeATgcbtbXF1uAlVqtQa3W4fevNmXXOjt7\nOHfuVXbuVFKplMnlcjgcbpaWJhvASiwW09k5xPz8JCaTvQG+q9UqO3few6lTz5FOJ2hrax7o19cX\nKZUquN1Cz5nPt4rPl0CpNGGxjLK+vkKx6GP79kdqXmIeFAo5YrGJVCqO3S4AhGBwBoulH7FYTDab\nQqNpq5kgJzCbd6NQzBMMrlGtqlAqlRQKKRQKIUssALMVNBoJLtcucrkcEokEi6WHubmLxOOraLWP\nNc45HF5nbe0iIyNHCQZjJBJZ0uksc3MXGRnZ6KkMhbwUCmXGxraTySwTCCzhdG5QWjs7+/H711he\nvoTZXOWee440tkmlctRqPbGYH4vFRUdHD1eunAa6ATELC1McPPhoY3+dzsrc3Hk6OvoIhbyYTFaS\nSYF6KZUKlYBiscitW1cZGdmFx7O8KS1GIpFgMtnweJZbaDVKpRqfr0QymUSn29wXRSKRNABWLpcj\nHo8jl8vf1Wo6NAOrdxvE/UeLO42Cq9Vqwyj4a1/7WpOnVWdnJ8vLy+zZI1QzV1ZWtuzHujP+/M//\nnJ6eHj73uc/x67/+6wANsP1vmQS/k56rety9iKtnrk+dOk8waGBwcCNTXSrVJdyFhfWVK28yPv4Q\nKpUAvHp7hwEh6Xb+/AsYDG7+f/beO0qu6zrz/VXOuaurqnOOaDRyJEAShEgxiBIlUeJTTrRmPVn2\nzFheY1vjJ45lS2ONvdaT17Nkj+S3ZD7L1kimRFGUmEFEIqOB7gY65+rKqSvnen9U1wUK3SABEJQ9\nEr+18Acq3L731rnnnL33t7+vr28rmczVnqDZ2WHUahv79x/AZLJQKhU5efI5ZDIF6fQKs7NOdDoz\nbW2D7NlzL1ZrnJ079wniAJVqbzpdFpt5s96WXxeKxSLpdBqNRoNYLKatrQWdTsPRo2MYDK189KOP\nkUqlGBq6xE9/+hNkshYKhTyxmJNEotyju3v357lypZbJyecoFGzk8wskkwkymQRlAxsUAAAgAElE\nQVQDAzvp6dkmmMeWE25lH8R9+x5mevoyhw79gnDYw/vf/wVyudy61Y94PMLc3AR33fX+VT/CFurr\nW4Cy0t/c3ASBwBAmk4NTp14im82sBg9SisUCk5MjtLX1sbBwBZlMjkqlQqXS4ve7aGsbYNeue4V+\nbYBQyEsikaKxsXXNmHW55ujvX6v45/c7MRhqMJvNZLNZstmccM0u15zA5rgeZZn1unVZQGXhiThG\no5lisSTM8dXfvbElgte7hNW6VtQikYhis5luK7CvrPkVC4BrJdozmYwg0f7rmJvXq/xWBCu+8Y1v\n3LJy7B/+4R/yzDPPMD8/z+joKH19N64E/qbj37zH6sqVK/zlX/4lLpeL3bt3s3nzZj70obK/wsMP\nP8yFCxeAcvC1ceNGNm3axBe/+MWb9gnRaDTE4/F39BrgqsJLoVAQTIhvt8QbjUZJJKQoFOXMUy6X\nIxx24XCsdabPZjM4nXPU15c3eFKplIaGdrZu3Y9criCbTXPy5C/IZOREoyvI5Wp0uhZCobFVM9ay\nPGg4vEw4PM+GDfdUHb9cvm4GwoTDV31/Vlb8XLz4HNlsib17H6e9fQcLC+fJ53MYjUa6ugaZnh5n\nYmIIu72XVMrH9bBYWggE5oDyBnps7BImkxWLxYHXuyj0B8hkciyWBmIxD1ZrPeGwn3w+i15vY3Fx\nnJoaOxqNnkKhgEplJhbzYbfXs7LiQSyWoFJpsdl6SKeDuFwTqNUGIAfoyGZLmExWgsE48/NXzWwb\nGprw+ZbX3eza7Y1rjB7L1UQVgcAyMpkMlUpNfX0TsVgMv98liDm0tnbh9boIhfxCBlalUqHXG2lr\nG2Bk5GTVcYvFIhMTF+nq2igEwK+//jyxWBGxuIBeX49EkkGn0xCLlXC55oACYnEeqVRHNptFp9OT\nSETIZMrG0ACJxAp6vZFCIYFCoSUYdNLQsIl8PkU87ieTiSCVXs2Cp9Np/P5Jurt3oVKphOx5Op1G\nJqsFkoLRbyTiZWrqCJ2dd7GyEqWnZ5DNm/fhcGxlZOR15uevAOWAZn5+kpaWLkQiEQ5HL17vRNX1\ni0Riuro24vcHUankaxYzvb6WSKQ8tpRKFXq9CZ/PSyZTQK1WIJcrSaXKGzylsixeodNpCYdDFItF\nRCI16fRVCuLExAhmcw09PYP4fE6qcTUYsdsb8HjWp3iJRDq83rXj/XpIJBI0Gg0Gg0FI+qRSKYH+\ndafxbo/V7eNmjYIff/xxvve97632jPj5+c9/zoc//OG3PH5HRwff/e53sdlsBIPB1bEpEpJ16zEV\nKrLn1z8TFQrgegFXJpNZdxOaz+dZXFxkbi7P9PQYp0+/QDDoFhRXFQo5pVKJc+deoaGhb40gBcDY\n2FkSiTS7d7+Hmhob9fUtNDd3kEyGyeVyHDz4IerqGgmH3fz859/F6/WSSiWIx5MYDGbs9ia2bh2k\nv1/EwYNbqxTXpFJpVVUumUy+qZDDrwPluU9WFTxYrVYOHhykVFogEvEjl8tJp718/OOP8vjj99HY\n2AwkkUrjLCyc59Chf6Kt7V42bvwMmUyamZkMJ06co1iUEA4H8PuXkcvlZLNZ0umrc0PZz6oLpVKN\nxdLF6dOvsbAwvu5+Y3j4JE1NG9ZNEun1ZmIxP/v2Pcr+/R/g/vs/xiOPfJaHHvo09933OLW1ddx9\n92M8/PCnefTRz/Pgg5/knns+zObNBxCLJezadV9VUAUwMzOCw9GKUllNAw2FvOTzhXVNfF2uWez2\nplV5clXVNXu9S+uqAUK5B8pmW9/X0+t1YjTWrvbiybn+1gSDHsEwfj0EAuu/n0yu0Nh46x5ON/KJ\nkkqlaDQalEol6XSaRCLxaxnb60m9Hz16FIVCwd13333Lx3vsscc4duzYTSWSftPxbx5Y9fX1USgU\nGBsbY2hoiKGhIZ555hmg7BOyZUvZM+EHP/gBw8PDXLx4kdOnT/PAAw/c1PHVarXQoH6nK1YVo7lk\nMilk8Cs0sLeTcfB6AwSDeYaGTnDs2C94/vmncbmcTE4O43YvVj1009NXkMsNaDTV5epUKoFaraO7\nuw+brQaDoYGxsSGOHn2RXE5GQ8Mg09NHSKViFItFLl8+jMMxsKanJBwOIJNpGBi4n6mpI8TjK/j9\ni4yNvYpMZqCtbQ9arQ6TqRGt1sDcXDkQNpks2GzNjI+P0dm5nVQqQDQarDq21dpGMuknnS77PaTT\nGSQS6arsuguZTI5UWsnSOYhGfatVMAPhcAixWEksFsRgMJLJlKtURmMd+XwSm62RaLQsz67VWshk\nUjgcG1YpghCPhykW5chkIvT6OtLpAq+99oJwbnq9CZlMSSDg5no0NbXh8y2vmfzq6ppZXJwCykqL\nCoWClpZeFhcnSafTq5vmIlZrM/PzY6hUqqrsVFfXBnI5EbOzV2Wcp6dHkEqVNDWVA6J8Ps/Y2BxS\nqZ7a2h5critIJHms1mZaWweYnx8hk4FEIkChIEGrLW/aA4El5HI5arVlVVkvgV5vJJ0OIRIpyWZX\nsFqbUSptSKVFFhbKMsoikRiJRMr8/AhyuZimpg2r1ydazWiVSKVy9PUdYGzsdfz+BSYmDtHevoNM\npoBMpsJstiKVSunr287AwHs5e/YlxsYuMjt7BY3GJEjZWiyt5PMJQqHqe76yEsZkasPrnSWVihON\n+gkGXQQCS5RKEjyeydU+Lz8Gg4nl5TkymQJ6vRqFQoFCoRAqyUqljmw2gUqlIRz2USqpSSbLfPdY\nLMrCwjQbNmzDbq8nGo1VqQaWSgiLc319oxAcX48yHXA9Sfb1IRaLhU2jWCwmGo0Sj8fvaID170HA\n5zcJ1xsFVxKAn/zkJ2ltbaWzs5M9e/bwta99rarn6kb4+Mc/TkNDAyKRiIaGBpxOJ6VSiVKptC41\n+FoJ9euRzWbXrXBVaINSqbQqYVQqlfD5fAwNeent3cd73vMEBkMdZ8++zquv/i8WFyfI53OMjBxH\nLNbQ17fWx2hpaYqFhWl27XqgKtM9OXmBxcVpdu58D37/Is8//z2efvqv0Gga0Om0ZDJJurq2oNGo\n2bKlnYce6mTr1oF1s+WVQFKr1SKXy0kmkySTyXcsEfFmyOfzq8matVLZBoOBe+/djEzm4vz5o6hU\nEjZv3sM99+znP//nT7J//0ZEIidKZYlk0sVrr32f5WUfKtUGMpkAUukWnM4sMpmKiYkRzp17hVKp\ngEwmE9Ro8/k858+/Rm1tK48++jF6e/fhdi9z5MizLC1NC+eysDBOMpmit3dw3etwu+dIJtNr+oyk\nUumqz6Sf/v5tawL7ubkRzGbHmmAtk8mwvDxHR0ffKgX0KpaWJnE42tb1XyurAZafE5EIpFIJKpWK\nXC61Wv03rkly5vN5IpFAVYvBtfD5ljGZapFI1u8/LDN61g+sstksKyuRG8iwry+z/lZYzyeqgsp6\neu3YTiQS79jYXk/qvSJY8a1vfeu21ok9e/ZQX1//bgKPfweB1TsNjUazrvLX20EloEqlUgJ3V61W\n37ES7tGj5/D5FlEoZHR09KPXGxgY2IpcLmZy8iyvvvojLl++QC6XY3b2MhbL2n6OUMiLwWBleXkc\nh6OHpqZOtm69G7PZik5nJBJJEg4nefXVf+TChdeJRDx0de1ac5ylpVnq6pqwWJppbBzg5MkfMTV1\nmPr6jYCG1tZO4bPt7XuJROZWZdpT+HxONm26m/n5GQyGBpzOy1XHlkrlGI123O4ZJiZG6O7eRDAY\nwGJpIZHwUCqV1egKhSJSqQKNRks8HqSurgW/38Pi4iw2WzPJ5Mrqprcs+qDVGlcn5RjpdBqt1kIq\nFUavr0evNxGP+3E6pzCb6xGJSigUZjQaIwsLvqpgyWZrZHl5fs09KSsWmnG7q5Xhmpvb8flcVZvt\n1tYuPJ6l1T628r+Ojl7c7iVyuUzV98ViMRs37mRiYoRkMk4iEWN6+rIgvgBw9uzrLC+H0emsyGQG\nVlamsNl60GhqV/vO1KhUZlyueUKhGHq9kXw+w8qKE43GjFKpJxZbQSZTrGZTw6RSKczmesRiKel0\nlvb2XUQic6TTKcRiEYVCFrd7nMbGLmQyVZVKoNs9j83WQGNjLxZLHYcOfR+rtQODoZ6lpTlaWqrp\nun19++js7GZ+fozR0RHMZkvV9dvtfczPD+H3LzA3d4kLF17gzJmfYjRKmZ4+wRtv/DPT08dYWjqP\n2z1KMunD5xtnaekss7MnWF4+y+XLLxCNLjM7e4GpqXP4/YuUSgUUCgUqlZFQyIPBYMHv9yCT6YhG\ny4HV6OgFWlo60Wh0SCQSLBY7Tufa3x9AoVBhMFjwetdWrRQKJVNTzlUfupuHSCRCpVJhMBiQSCRE\no1FisdgdzV6+G1i9fTz22GMYDAY+8YlPcPfdd/ONb3xDSACKxWK+853v8MlPfpJoNMrf/u3fsmXL\nFr785S/f9PF37NjB+fPn8Xg8Ah3wWlzbcH6jnqvrN2/X0gYrxr4VxGIxzp2bRqfrRqlUI5PJ6OkZ\n5MCBD9PSsolQKMAzz3yHEycOodVq8PuXyGav+r+FQl5GRt5g27aDQmIunU5y6tQvOXfuMGJxiWPH\nnuXixRMkEmk++tHfJ5VaZnp6lv37H0Ojge5uPU88cQ/19etvkisbQZVKJSQvKzLWiURCoN//OlCp\nPFzr+XM9NBoN99yzBZMpwbU+VSqVio9//GN87Wt/SmdnhrY2LRqNhlisbDNiNm+jVPKSTtt55ZXz\nqFRK1Opajhx5lvn5KygUZabAqVMvkU4X2bhxN9lslvr6Ru699wN0du5kauoKhw49w8TEEKOjZ9m0\naf8auXAoj5XR0VP09+9cV258YuIcjY09a4yEi8UiCwvjdHauNdWdnR3FZKpbE3AVi0Vcrnmam9vX\nfMfrXUCtNqLVVlvFiETl4KiurkXorctkMsLz4Pc70eksawRSKigr/lmRy9cG6YGAG7Vaf0MPKb9/\nGb3evCbAz2YzqNXiW6airucTtR5u1gPr7eBGghV/93d/x4c//GEcjvU9vd7FzePfRY/VOwmNRiMo\nsLzdilUloMrlypzz65Xb7gRisRh6fSvd3eXNdC6XI5M5xt69DwNi5HIF0WiAiYkLvPDC00xPz7Jr\n1/41xwmHg+h0ZpzOWbZseUyoomWzGTZu3IlWqyOV2s7ly68yNPQzpNImFhamCQZ9aDRatFo9xWKB\nTCZLbW09xWKReDyGSJQkn5ewsDBDd/eOqgVcLlfS3r6by5dfQyKx0tS0AZutAb/fyNLSCNnsEtFo\nP3q9RbifJlMrZ878gqamvXR39zM+XiAY9COXqwgG3ZjNDkSiMm3KaKwnHHbT0jJILBZBJBLR2bmF\nZDKEQtFLPl8gk0mjVltIJCKYzWZCIScORxuFQg6ZTEcq5cNkamZx8RC9vXcRCAwDRSyWTpzOY4yP\nD7FhQ/neNzW18MYbr66rDlhX14zLNUtj49WFQqXSYDDU4HbP09zcJWxwFAo9Pt8ibW3lrKBMJsdg\nqOXy5fNs2rS7KrNnsdRSX9/JxYvHyedztLT0VjXXHjlyGJGoEb3eQCAwj1SqRq83olQaCIc9aDRm\nzGYT6XQ7oVAQlUpNKFREKhWhUJTvezQaEhpy43EfuVwKo7FcgVGp1BgMZiyWemKxMMGgi3DYg1Sq\nwmw2C6pTlYZ6r9fNxo27yGRSxOMhGhubCIedxGJZVCrTuvQTh2MTV678T7q7H2R2dpbFxQmMRj2p\nVJhk0s/8/Aj5fBSNphz8bNp0kMbGbhQKFclkgcHB91VtBEqlEjZbHzZbCz6fi3BYTk2Nnmh0glIp\njc83zuzsGygUBiSScta3oaGfoaEp6uubiESSeDwuVlaCVQbNdXVNOJ1TgndLRW69AputAZdrvmoM\nhEJ+zp8/gVQqIhAI3lJms9L3VAmwlEolmUyGWCyGVCpFqVTeMu/9+mNfi3eDrNvD008/LfTPPffc\nc3zuc5/j/Pnzaz736U9/mm9961u3fPydO3fy4x//mD/90z/l/PnzawLrbDaLWCy+Yc/VeiIX19IG\ny6bjRWE9Gxq6QiZjp66upqrXIp/P09bWhdVaQyjkZtOm+0mnE4yNXSQeD6162UmZmRmhoaGby5eP\nkcvlyWSSJBIruN0+tm8/SGNjG6VSjpGRk7S2tnD+/EvkchKeeOJ3KJV8bNvWTm9v1w17Vm5EoarI\nWMvlcjKZDPF4fHW+XRtw3klU6JRv9SyqVCo+9rH3c/ToBUIhL2bzVXlui6WGz372/+To0ReQyayM\njoZYXk6TzeZIJmUUCpPYbNt49tnDPPTQHvbseZRLl95gbm4cKCKXG9m+/R4hiVepeDc2tlBf34zL\ntcCLL/4zUqkEt3sWuVy+hrI3NXUBlcq8xtgXyua+Xq+bgwfXioMtLo6jVOrX9CeVSkXm5i4zOLh/\nzf13u+dQqXRVolQVVGiAFaRSSRKJGIlEnIsXT2MyWblw4QTZbIpUKkkmU7as8HrLSrmRiJeytxpI\nJGWl3mw2x/z8NGazA5/PvZp0NGIwmJDJZHi9TiyWG8ul+3zudfurYrEIbW3WWx5ftyq4UvHAunZs\nVwQv3q7v1XqCFW63m+eee+5dwYo7hN+qwOp2UVlkstnsulLYFdwJqqHP50csvqpw43ItYDCYUCrV\nQuOu0Whl584HOHr0VyQSF5ibO0Nn5y6USi2lUtm8bmUlgkIhoqamEbW6nAkqm9tK0WrLm4LyJtqG\n3d5MoSCnra2bUklMPL6Cx+NkZmYclUrPxYtv4PePI5Xm6Og4wMTESdLpcaLReoxGIzKZQrhPZRpa\nFrncJ5TZ7fZ6isUCo6PzzMycY9Om+wVRinQ6TzIZF2gwTU3tjIycxGSqIRRyUlvbIKgXGgx2pqfP\n0dg4QC5XQK/XUFvbxsjIy6tZTDHFogSdrpbFxRHs9gamp13U1XWgVusAMel0dFV2Vcni4hgmUyOp\nVACTqYNSSczrr78oBFZ6vQm5XHUDdcBmJiaGyGbTyOVXs16Nje3MzY1jszUJk1dXVz/z81cEVT+5\nXM7Gjds5duyXtLX1oVSqkctlQoDV37+Zf/qn/we9Xstdd12V1y+LOKxgs+0gnY4TCs3Q2flhslkn\nFksnbvcMNls7iYQTqVRDU1MTer2BkZFXkMmgpqaOUqlEPB6lpaWbUqlEIDCLzbYVmUxBIrGM0VjZ\nXOXo7NzDwsIwkUiQ+vpNiERFxGKZMNY9nkV0OhMSiZjR0ZeoqXHQ3Pw+hoZ+ydjYa+zf/6lViqwU\nmaw81czPjzE/P0FT00aWl19BrbaTyxXxenN0dm6iq+tBGho24HJNk8nI6OnZR3NzWcyiq2snp0+/\nyMLC1GrDfBkGQzngtlgamJubZMOGbTid0xgMDgyGemy2ForFIisrbjyeCSYmziKVisnl0gSDARSK\nFXy+Sfr7N1ctfA5HPcPDp9b8xld/6xampobJ5/NIpVLm5qa4cuU8GzaU5ZHn5910dXWu+d56WG/e\nqGwcFQqFYCpekey91er4jY7/Lm4d14qSRCKRG5qL3u5asGHDBj7zmc/wta99DblcLlCIKv1WuVxu\nXanxTCazxqcHrtIGK5vvSvBeLBaZnp5haUlEQ0Nz1fEqgVihkOPs2UP09++htbVaFTYej3L06M/Y\nvPlB2tq6EYnKlaSVFT9jY2c5ePCTmM1W/P5ljhx5HqlUTiQSQCyWsXXrFrRaDzt3dlJTs76iWwXX\nJjLXQ+WZqKisxWIxYVN6p8d4pXJ2sxULlUrF/v1bOHLkPOGwGJPpam+OXm9kx457OXfuMB//+AFO\nnbrImTPzQCPB4EWi0Zfp6nofP/vZK8TjK2zadBcnT75CNBpnYMBCqZRHLC5fYyqVQiaTIZXKEItF\nhMMuOjs3MzCwi4WFcY4ffwGNRoXd3kx9fTkRVBa0eHTd8x4bO01r64Y11aDymBmmv3/Pmu8sLc0g\nFsuor1/bf+d0TtPQcHUuTKUSRKMrrKxEuHTpHG1tvSwvT5NOJxCJyklKuVxOOOymp6cPrVaPQqFC\nLi/bhxSLRY4e/SW7dt1HTU2tMJ6LxTy5XJbh4TPI5RJqa2tJpeIEAkssLIyRTCZQKFQsLc0zMLCD\neDwm7IeuRVnC/a41r+dycez2m5vTK7hWsOJWcaeTBzcSrPjqV7/KX/zFX9x24u5dVOO3IrC63R6r\nawMqsVgs0CjeyQ3J3FwQne4qfcrpnMHhqGTERUA5a14slggGl9m8+SOUShmGh5+nsXEHZnMD4bAf\nnc5EJDJPX98B4ViBgLtqYo9Gg4RCM9TUDGIymZiZOUJj4zZaWnpX1dpKdHT0MTz8AkajCbO5G6fz\nLO3tWfT6elyuo5w5c4hSyUA8nkQuNyAW62lt3UwstsDp0/9KX99BjEYrDQ0t5HL3cu7cP1NT00pd\nXVntzeNxMTi4H59vFoPBilKpwmSyk8tFSKeXKRZLQLmBWqOxUiikWF6exWy2kM1mkMmUiEQQj4fQ\nas2IxWIslkamp9+gsXEjIyOTJBIx1GozqVScVKqASrXC4OBB5uYuoNPVEYnMotGksVg6uHTpDdLp\nlGCEWFfXjNM5syawqpzn0tKMEDAVi0UsFhtDQydIpRIYjRZEIqivb+by5bNEIgGMxvImwmAwU1NT\nh8s1S3v7AKlUatUTS8bY2AUsllqKxeyq8W656vP88/+LbFaL3d7K7OwxFAordnszy8tTFIsSCoUs\nOl0tgcAw+bwEo9ECZKmvbyWT8ZNM5hgZOUc2W6ZTRCI+UqkIjY0bARGJRIL6+lby+TKtxmBoQCye\nIJlcQS6veFvlhI2Zx+Okra2Py5dfw2Aw09y8bVUJTMPg4L0sLp7A6VSSTkMmE0UqDaPXF7n33k4G\nBrpQKgd45ZVRwuFmFAoby8uzzM1NoVZrmJ8fpavrgBBUAZhMzRgMGpzOOWy2OjSacsLAYqlnbOwo\nMzNX0Oks1NTUkskkcbsDRKN+bLYWxGIxJlM9JlM9Kyt+amubiceHGRp6DqvVQnOzDIvFLkhUlxMo\nCiwWO8vLC7S2dq+p+qhUarRaE17vEvF4nLm5cfbuvV/4jT2e7JuqA66H9eaWawOsbDZLIpEQqlq3\nItH7biB15/Dkk0/y8ssvA/Diiy+u+5kf/ehHvPzyyzgcDp566il27VpLtV4Pf/M3f0MikeD9738/\nIpFI8LOSSCQCne/6rHWhUHhL2fVrf3+xWIzf7+fHPz6EwdCO3Z4VNlUVOqFKpeLUqRcxmxvWBFUA\nV668gdncyK5dV9eYUMjL5cun2LbtAcxmKxMTZ3nttWew2drYsuUAk5OnqK93sGWLho0bu97S4Pda\n5b23Gr+VXsWK2malh+ROUfRvVDl7K1SCq9dfP8fKiqRK9bW21s6GDTu5ePEw9933CFarlkOHXiCT\nyREIuLl48fuoVM385CfPMzZ2nk996o+pqXEwPn6Rw4efxW5vZGBgNwqFctVrMIfLNc3y8hJ33/1+\nVCoNZvNdbNy4C49nGY9nnmPHfsnCwhh1de2EQsuUSnl0OpNwTWV/sQhbtx5ccy1O5xQSiQKHo3o9\nzOfzzM6O0tZ21RIklUqQSMQIhwOMjV2io6PE0tIkicQKYrEIjUa3Sq1T0dbWiVZrQKs1CgF0uV9Z\nzIYNO9acx8pKCIVCgcFgqvJkk0qlq0nCKH19W4Xe5AqKxSJ+vwuXa45cLs6xY79CJlNgtdbT0NCK\nxVJDIhEjm81hMlmqvlue/1O3JLNeGTPreRbeCirJg0qAdbvJg/UEK44dO4ZYLOaee+657fN7F9X4\nrQqsbhalUolcLkcul0MsFqNUKm+YlbwWb7diFYvFCIfBbi9vxNLpFJGIh+3bD6z5rMezRDqdxWpt\nXpUAr2Vu7iSxmJ9sVgRkUam0aLU1q9dUJBTyC2Z3xWKJ2dnTaLUOslkFra1byGa7mJ4+hts9RiSS\noaVlA+PjL2G3N6BSGchmr/A7v7OVu+/ei1gsplgsEg6HmZ2dJRgMrmZkRASDcUIhA5cuXebs2b9B\nKnWg1dYgl+vQam0cPvzPtLfvBKRs2LAbiQSGh58nn9+MUqmmtbWLixdPUCplCQaXVx3s5UgkYlQq\nA9PTF9m7930sLs7i87kwGMrKcFptecEq+wUZKZXyGAxKQiEver0Bt3uOXE6E1SrFaHQgl6vI5eJk\nMkkgj822BZfrPBcuHGPPnrJ0eENDC0eP/kqoSlyLxsZWZmcv09raSyJR9vYoS5DXsbAwhslUznhJ\nJBIaG7uYmRll69Z7hO93dQ1y+vTLtLcPoFKpiMcTnD37GvF4gnvvfR/Ly/NcuHCMu+56kHw+y+XL\n81gsA4RC48RiXpqa3kexGEGhsODxzCCRKPB65/B6J5FIOtDp9MzNnaempgWv10d7+w6cTif5fIHp\n6TFCoXHEYj35fJFEIoRKpUYmkxOLLSOX6wkGlykWczQ2biEYnMBsbkehUFAslj1pxGI5Cwtn0Om0\ndHTsJhIJcenSEWQyBQqFCKu1hEQSRCZL0NbmoK9vK319fSiVSqEpf2BggOPHz3D48BuYTBAKufF4\ncvT27iORcFVVi6RSKQ5HO4FAlOnpK2zcuAORSIxWW0Mk4ieVUgty7GUhkWFWVjxcD63WgkSiYs+e\nD3P8+K/w+6c4ePAAarVmNXCJI5PJkcvlOBxNuFyztLaub+3gcDRy7txxVCoV+/Y9JJhzQ1kd0OXy\n0N391oHVzcifX0sPKZtqpoRej7cKsN6VV7+z+N73vgfAD3/4Q77yla/wy1/+sur92zG0BxgdHeW7\n3/0u99xzD9PT0/T19QlzbaXP4vp56M16riqJkPWUA8+cGaOz8wBe7zKHDv0Eh6OF1tY+FIpyA/3U\n1EVSqSw7duxdc55jY+eIxzPcffdVi4VkMs7Zsy/T2bmNSMTDhQuv4nYv0tm5mwMHHmJy8gx6fY4n\nnthOQ8P68tnXYz3lvbdCRW0zl8uRTqeFxMTb9b16q8rZm0GtVrN//2YOHVvj2osAACAASURBVLpA\nIiEVkkJQturw+z384z/+NZs3b+c//IcvIxLJOXToBC+99CLRaJRSSc7oqJvnnvsHPv/5/4v+/q3Y\n7c0sLIxz6NAzNDa209m5CY9njitXhti27X5kMoXw3EskUurrm6mvb2Zi4gKlkoy2tn48Hg+TkyNk\ns2k0Gi0qlZqZmcs0NQ3gci0glytWxR+kiERiRkdP0tjYh9e7LJjG53JZ/H4XExPDiEQSFhfHyWSS\niETi1XUtglqto6GhAY3GgE5nFPz/zp07RHNzN01Na6tAHs8CtbU3llm3WutQKpVCFbFil5JKpUgk\notjta4UpxGIxmUyatrZ+du9+z+oexo/LNc/584cBCRKJFK3WtCYQSiRiWK36W/r9K2PmTlWCKorT\n1yYPbtYDa71qay6X48/+7M/4yU9+8rbXh9///d/npz/9KV6vl4MHD2KxWBgZGXlbx/zfFb8VgdX1\nVMAbbTJuN6C6U/B4fFU0wMXFGWpqHOs+yNPTo4BptVQvoqamGYPBxvj4ISYmRqmra6K39+qCGAoF\nkEjk6HTl3hqXaxyRKEs2q6OurgUArdbM5s0f4PTp54jF5piZuUhjYwsGQ5Geniz33vswNttVXnK5\nOmTBYqnO7FRQKDzK3NwcP//5YWZnV8hk4tTWSojHvYyPH6KrayMjI8+hVpvIZJKMjb1BZ+dWlEod\nBoMNl2tp1RurLLVaLJaIRBIoFBK0Wj02WwMLC2M4HLUEgx4aGq5mVfV6O/F4BKvVistVFrwIhz1Y\nrS3kcitIJArUaj0SSfn+JZMRDIZG1OomXn/9qBBYabU6tFojbvcijY3VcvdSqZTLl0cIBIJIJGK0\n2rKRcSKR5MyZyzidi+h0ZvR6ExqNlunpGfr6tgv+L2ZzDSaTgytXzqJWa5mdvYLZXMddd+1DJBLT\n1NSBz+dmZOQ0Ho+LaLTEjh37GB19Grm8jrq6ThYWjpBKxcnlSjQ3DxCPu0kmo2g0UUZHXyGZjGGz\ntZPPZxGJyvL7PT2DiMUiTp06hcHQgsu1iMezjF5vYmlpjkRigWw2Syw2jESiw2Sqp1CQ4fdPcOpU\ngtrabqanL5PNepHLZRQK3bz++nOUSjO0tyt58MF92O1W6uvvw2g0ChWu8m9YFJqQKwpf733vAe6/\n/x7i8ThqtZqFhQX+5V8OMzIS58qVI2zceL8gNW+39xMIvEKxaGR5eZ6Ghjai0TDJZIb6+nKzcS6X\nQ6VSUVPTxuLisSqfKgCNxkQiEVztvZNisXQgk2mFZ75YlAsBVk1NLaOjZ1eb9UVr5o1SqcjU1BhP\nPvlfqoIqAIPBytTUPF1dHW+5aN1K4HNtgFX2IUuRTCaFjOaN5rZ3e6zuPD7+8Y/z5JNPEg6Hq4Km\n2zG0LxQKfOELX+DP//zPKRQKnDt3jr6+PiQSCdlslmKxuC4FsMKouJHs+vXfKZVKjI9PEY0aaGxs\nprm5nVRqG9PTVzhx4gVkMikGgwWnc573vOdja9ZAr3eBhYWyL1JFFCESCfDiiz9AIlExMXGWmppG\nJBIJvb07GRjYjsczTH+/goGBD2IwVCvY3gi5XI5CoXDbnlVlapyUXC5HMplclfK+vTX9VipnN4JO\np2P//o0cOnQJiaRTCC4ikRB+/wLNzS2IxVKs1nJA8JGPvJ+dOwf5/vf/lmBQRSQS4cUXX8XtXuY/\n/sf/gdFowmq9m3h8M2Nj5/nRj75NsVjigQc+QW2tfU3rAkAw6GZmZoS77nq0qucqm80QiYSYnLyA\nWKxCrVbi8cysjrtyNXRlJYjbvYxarSUUciGTSVaNfiUEAos0NXXT1bUBlUqLWq0TEmKvv/6vbNu2\nFYejWjI9n8/j8y3T17d13fsdCHgFWv718PtdNDWVRbsqv2slcPB631zUwu93CTLq5T2MDYvFxsDA\nTvx+N6+88gyFQolTp2R0dPRSU1Pe8ySTUbq7b15m/U6MmRuhkjy4WQ+sGwlW/P3f/z2PPfbYDUVj\nbgXf/va3+fa3v/22j/ObgN+KwCocDgM33khUGvFzuZzQJH47k+/bqViVSiVmZgLo9RuE15aXp+jp\n2VR1/EKhyMpKGKdzEotl/6pKUPl9uVyJ3T7IwsICHs8YbW07he/6/S6hGTOdjuNyDVFfvwW320dt\nrUNogl1amiSVivDww118+tOPoNfrbznTV5ngisUidXV1fPnLnyKZTBIKhRCJRKjVn+Cpp/5fVlYs\nbN68n1wuisejZGbmPJlM2etCq60lFkvgdF6mq6s8uc7PT6HX28lm3RSLRUwmC7OzIBZriMW8VSIT\nRqOd2dkhHI5OnM5JnM4F5HItJpOdQGCIbDaFSmVAJJKj09USDi+g09mpqxvE5TpKIOAVJtS6uhaW\nlqaFwMrrXWZk5DyZTBKHowm73cbOnfdXTVhHjvyKuromtFoDkYifcNhFIBDgxz/+Dg0NHchkckol\niMVWGB+/wO7d72HbtgOC9HhlTG7YsI3jx1/g0KFXUSqbCAbHiEYj1NRsxOsdI5VyYzZvRKUy0NS0\niUBgHJ+vkf7+9+DxjCGXy5mYeJlcLkEisYJMpkSt1uJ0XkGr1dLSMojB0EAmk6WpqYNsNkUwGGZl\nZQWFwkgul0KlipJKeXE4OonF3IyP/yP5fIHa2gbM5k4kEj9dXWmeeOJx+vr6qsy4C4WCEFiJxWKB\nrlPJwEej0Wu8vMpZ3Pb2dr7ylXp+9avX+PGPT3L+fIHt28u9ZlqtGZVKg15vwOlcRCZTMD8/RU/P\nHlKpYJXARGNjG5OTrwoGwhUYDDYWF4cJhYLIZBIUChXh8NWqdiXAKpXKvU0ajZHp6XHa26vNgD2e\nZWZnxxgc3MHKSgCDoboaoVSqiEREhEKhGyYf3g4qmyaZTCaolFZoJ9dXL96VwL0zSCQShMNhoeLy\ni1/8AovFsqYSdTuG9rlcTgjUhoaG+O53v8unPvUpoX9EJpOtSwEs94yqql6vbKTkcvma7/h8Pq5c\niVBTs0GgGKpUavr7t9Da2kMk4ufVV3+CRlPDsWM/RaPRodXqkcvLmfLLl0/T0NDD2Ngbq7LQEYJB\nH7mcnHvvvY/6+ha83gVGR93U19spFsc4cKCtKin3VrgZ5b2bwbXPSIVGW1njb4WaVbmXbzfRajKZ\n2Lu3hyNHJqip6aFQKHL69CF6egZobOzk2LGXuHz5NP395bW7ubmFP/iDP+ZHP/qfTE2J8Pm2cenS\nKH/0R0/wn/7TN2lu7sXnW2RlxUtT0wAajZGLF49QU2OjpaUfi8UhJLFyuQznzr1Kf//eNUIWcrkC\nvd5ALObngQc+htlc3fdWLBY5dOhH7Njx3iqxi2KxSCwWxe93snfvA2vEiiIRP5lMdg2VHsDrXUSj\nMa6xeIGyKl85QFv7XjabJRIJsmPH1WCgQpmFMh3VaLTccPwHg9418vIVWCw2jEYLe/YcxOt1cuHC\nUZRKPd3dA0ACi+Xm+6sqitHvZHK+4oFVCbBuVJ1dT7DC4/Hw7LPPcvjw4Xfs/H5b8VsRWC0vLwv/\nr2z4KotVpUJVMSB8u4ort4tIJEI0KsXhqGSxgmSzcWy2FoDVjWiBYrHA4uIMcrkJg6GW69ccv9+z\numF+BJdriFBogebmzayshGhtLU8mMzOnsVrbCIfDOBzNwsZ3dnaY5eXjvO99bTzxxAdumfJwbUAl\nl5fNXDOZDCKRCL1ej0ZTrtSIRCJ+7/c+wH//7y8wPj7Exo27aG21EI9HaGjYjMlUy8qKh3g8xPj4\nYWQyGXK5mUQiw65dDzAxUd4sm80O7PYGQqEgCoWClZWg0ENmMDjIZI6gVKpQKsV4PIs0N3eRyyVR\nKo1kMiFUKguBwBxdXfs4duw7JBJR6uu7WVo6zqFDv+AjH/kCAM3NbUxMDBGNhrl8eQSfb5G+vi20\ntfWRSEQ5ceKlNcqBLS1dLC1N0tn5CA5HeSHq7NzKyZMvMDi4m0KhTBFQKjXY7Y3I5SIhqKrco0pV\nQqFQ4nbH6OkZIBweB0woFGJstmaKRTf5fB6rtcwlD4XmkMn0iMUl0ukonZ134fePEA4vMT5+GLO5\nnXQ6TjTqWl24zIRCfqGyBiZcrixGoxGDoQeFwoDdXkc8LmPjxrvxepeQSjM8+KCDnp4OxGIxtbVW\nWltbBXpC5dylUqkgF11RIasEWFCm1JQl39NVAVYlA/nBDz5Mb28b3/72Dzl82Me2bR9AqzVSV9fL\n0tIVpFITJ068yl13PYjZXMPZsz8mnU4ilZYzlUajGa22lvn5sarASq+vJZEIMz09Sm/vJmZmJvD5\nQhQK+SpZ4soi1d7ezczMKI2N7YIaWCIRY2joDbZs2UsikcTpnFmXziKTmVhYWH7LwOrtUPUqHiiV\nal06nSadTq8JsN6tUL19JBIJHn/8cZLJpFCxf/7554Gyn9XXv/51tmzZwp/8yZ9w4cIFoTf3Zgzt\nlUqlIMs+MDDA2NiYkJyA9SmAlf6S69etipLg9RSkfD7P6dNX0OnaUau1gr+bRCKlUCigVCrx+Rbo\n69vNjh33CpWMeDxKOp1kcvINDIZmbLZm5HIVDQ1qEokIMzNXuPvuD6BUqkilEgwPH6Wnp4nt29W0\ntfXecnKuoqJ2pyhU66ms3awIQKVydn3weruw2+1s357m9OkpFhbc2O21VCTZd+zYz9GjL2E21+Jw\nlOd0o9HMww9/lOHhNyiVLLz4ooSlpXN87WtfYtu2rfT17WJwcD/19S0AZLO7mZ+f4NKlU0ilUF/f\ngcVSx7lzL1Nb20FT01rJc4CLFw9TV9e1JqiCshKgVKqqCqoq48/lmsJotK+rADs3d4X6+naBcXAt\nlpdnBLbM9XC55tcNxgC83iWMRuuailQ+n0csFrOyEmTLlrtWvTHL/qKVSn40GqFQKK32H69FOOxH\nLldiNFowGi10dg4wPz/JpUsncTh06PVrFZjXQ0U9+lb6a28Xlfn/RtXZGwlW/Nf/+l/5+te/flvU\n1nfx5viN97HSarVreqyKxSKZTEZ4Xa1Wv+3mwmtxO9lhp9OLTHY1ozc/P0FdXblCkslkhbK+WCxm\naWkcpbJeoJRVkM1m8Hjm0elUNDdvZXDwUVQqJceP/3+kUiHEYnC7p8lkwmi19aTTeez2RnK5HKdO\n/Zxw+GW+9KW9fOpTH7mlh62yOFcWQ7VaLXB+KxuDSuWispj19/fzqU9tIx6f5dKlk4jFElpaBvF6\nx1EqtdhsHezZ8xHq67eSTGYIBJwolSlGRn5JKhVneXkSKCsORiIRlEojkchVU1axWIxGYyaVSpJK\nBSkWc0gkEvz+CSQSOYmEF4OhllwuiUpV3oCHw8sUCiJUqhpGRmaFzYlUKkGp1POznz1NqZThve/9\nCJ2dG5BIxOj1RjQaIy7XXNU9aWhoIR6PEokEhNfM5hoMBhsrKwFstkZstkYMBjN9fZtxOheJx1fW\n3FuRSMSFC+eQy2sIBpdZWppCKtUwMPAeRKI8xaIMpVKNSmWgVAK/fwGzuQmvd46amkaUSjWFQhyH\nYxCdrhGRKMWlSy+hVGqAIgqFnkgkiNlsFcaQ3z+Dw7GRRCKF1Wojny9njiORABMTz/KhD7XzhS98\nmrvu2suePbvp6OgQFq+KwWHFQb7CMa88W8VikUKhIDwjlQrWtd5N15rj9vb28td//cd0d0c5c+b7\nnDjxC7zeEDMzF0mlYjgcneTz5YZcvb6sJHktWls3sbR0peo1qVTOysoKYnEJq7Ueq9VBIBATjIKv\nR0NDM6lUklyu/AyurEQ4duxVWlu7sdkaaGhoJhQKVpkJV2A0Wpid9Qn34Ua4Uz1QMpkMnU6HVqsl\nl8sRiUQEj593A6u3j9raWk6ePMmlS5doaWkhGAzy2c9+do2fVcXQ/sKFC2zbto0vfelLdHV18Q//\n8A839Xcq1RGn04nL5VrXz+rN+qcqIhfXVy3T6TQ2m5FMZoFIxINUKhZoVKVSEbd7Hr/fz6ZNe1bP\nQ0FtrYO2tm4kkiJWayOPPPJR+vo209HRg8FgZmrqIps334NEIsHnm8fjOcXOnXaeeOJuurrabzmo\nqmxKb+Qx9HZQSZZotdrVakusyhvpelwrPnAnn5+2thZaWhSk00GhOgWgVmvZsmUvFy8eJxoNC683\nNrbS3NyDUpngz/7sv/DIIx9BLNYzPDyC0znF/PxFfL6yp55crqCrayMHDz5Ob+8ePB4XP/zhXxGJ\nhNHr9USjK2Sz2aprXlgYIxaLrUvLy+fzTEycp7e3+r3Kur64OElHx4Z1v+d2z9PcvDbhlM/n8fs9\nNDS0rHt//P5l6urWqgtC2Z+qpqZaCr3SxlEolJlHJpNFSNRVVBMzmQxe79Ka715/bIvl6vtisZi2\nth62b9/Ppk29N7VHrDxnd3rMvBUq+6vrPbDWk3o/ceIExWKRAwfW9u+/i7eP3/jA6toeq0rWvCJb\nrlar74gvQAW3+xDl83lmZkIYjbXC/53OKRyODkH2VqEoB35O5yyFQgGdrmnN3/P5nGQyfhobNwqc\n+9bWnej1bWi1Us6c+RfOn38Wvb6esbFzGAxaxsaOc+zY36DXD/Pnf/5F9u+/cQ/A9XizgKpSDaxc\nT+WhF4lEq/07Mfbu3cFnPjNINjvP8PAxjMYm8vkkwaBTuJ8WSxszM8Ps3v0Ye/b8HwwMHESvtzA5\neZQLF36B1zuLwWAhlxMRjVYLFRiNNpaWpslmA2SzM/h8V8hkfITDc8zMvEo4PIVKpSWVitHQsIlk\n0o/bPYvDsYlAIM7U1KVVJ/klAgE3crmMPXseQKGoXvCbmztZXByvek0ikdLQ0MXMzHDV652dG5iZ\nuVJl+KdWa2lq6mV09PSaezw+PsTycgS7vZ90epF0OsPg4KOIRFJWVpbIZnPU1LSt0uqCxONRLJZ6\nUqkgVms5M5lOR8jnQaez0ty8iWIxgcczTDDoYm7uJJHIPKmUm0hkienp46hUJrJZMBhqkEql5PMp\nstk0w8M/5OGHm/jYxx6/4Zio/M43CrBEIhGZTEb4fyXIqqgerRdgaTQavvnN/8Y3v/kpWlvDJBLL\nbNr0IFqtiA0btrO0NEc6naSmpgW/v9q0ubV1I+l0lEDALbwWCgXJ50uC6pPNVk8olCYej617TRKJ\nhNrahtWgVsrU1GX0eh0NDe2kUimkUhlWa92qitX135VSKGhwuVzrHPmdg1QqRafTodPpKBQKJJNJ\nCoVC1bh7N9B6e3j66acZGhriwoUL/MEf/AGf+9zn1nzmhz/8IbOzs0xPT/PGG2/w1FNPsbi4eFPH\nHxwc5Ctf+Qo/+MEPBGXACir9U+tVXG5EQapk9Ddv7ueRR7bQ0ZElGBzC650mkYggEsHFiyfo7NyK\nWCyp2nhHIn5mZi6zZcs9Vevl8PBRTKY6isUIsdh5+vvzfOQjd/HBDz56WxWeO6Wi9laoJHQqNKpY\nLLYm2IA7Xzm7Fjt2bOG++7YQDnurXq+ttdPRsYGzZ1+t8jDr7t6ISKRgfv4iTz75Rb74xd9DJtNx\n6tRpzp8/wtDQMY4f/xle79U5MJuNk0yGOXDgCbZtewCPZ5Fjx57l9OlfMjZ2jpWVMJFIgMuXT7Nl\nyz2rPVPVmJo6j05Xg812lXpXoar7fAsoFBpqa9cGK8vL0+j1FoHifS1crvK6fb35MEAo5AMkVf6N\n18Lvd1FXV92vVVG783icmM02YexU1qPKWFxensNotNwwkPb73dTW2te8ns3GaW29OcGVSlvFv5V0\neaU6W6mWVc6nMvfncjmeeuop/uqv/urdNeAdguSpp556s/ff9M3/HRAIBDh16hQ//elP2bJlC0ql\nUvAFeCcGVUWZ5laO7fP5mJsrotPZKBaLzM5OkE6v0N29TVDDE4nKm9BLl45TLBqxWNrXLJxDQ0dR\nKov09Nwj/P1g0EsymWXz5vsIBJbQahUEAsuEw0sUCn6MRhef/vR+Pv/5T2IymW7qvCt83nw+L5jW\nVWToi8Ui+XxeyMBXTE0zmQyZTEagClYMULu62mlpUTA0dIaRkRGs1hYWFkYAFbOzY8hkOrLZMCqV\nFqu1AZlMSU1NK/G4B5utk2h0Cb9/etX/K4XD0SPQuTKZHJcuvcrAwF0olW1IJBbM5gb0+mYKhTil\nUoFodJlCoazkF4v5iUTC1NZ24PGMsLLioa2tk+Hhk2zbto9UKolWq69SdALQ6fSMjQ1jtdqFhmQo\n+5SMjJyloaFNWLC0Wh3LywtAUZDlhrIx8NjYJTQaDTrdVUrFz372z8zO+lEqdYTDLvT6VvT6ZgwG\nM/PzR5HJDDgcAxSLJZzOS4hEJaRSFVqtEYPBTjabxO8fJxpNUCwGmZ5+Gbm8iFwuI5kMEAgsoVJp\nUSql+HxjuFwnKZVKRKMR6uqaUSoNLC5eIhw+wYc+1M9nPvPJmxrTFc575VmoKBhVzDXVarVAU6j8\nq1RkK2OqWCySSCSEPpDa2lr279+KXh9jdnaOQCCITmdFoTDids/R3NzD3NwZamrahOBXIhHj880R\njcZpbOwgk8lw5coF6uubyOVi1Na2Ipcr8HiWkUpXaG5uWfd6ygHVKOVGbSd79jyAUqla9WJLIxZL\nmJu7IphAV98LKeGwi7a2xhs+X5Xs71vJT98qyv5ucqGnLZ1OC4HsrUi1/5rx327x80+9EyfxVrj2\ntzp9+jTnzp3jySefrPrMV7/6Vb7whS/Q29uLWq1mbm4Ol8vFnj1rfYCux5EjR3j99df5wQ9+gEwm\no1AoIJPJBApWhf5zLfL5PPl8fk22vPLbS6VSYaNps1lpa7OhUERJp/1MTV1CIlFjszWSyWQoFAqI\nxeV5/fTpF2luHsBsriGZjLKyEsDvnyAanWfv3g42bbKyeXMXNpv1bW0oK8HNryvbX3k+KlL215ov\nV6jN6wmG3Km/bbfX4HTOkk5LUSiuBqIWixWfz4Pf76SurlX4zRsbWxgfH0YiEbNp0y7q6upwu52M\nj1/B75/AYHAwMzPK6dMvMDs7TCZTYHDwbtraejCbrTQ1ddHU1INIJCcQcDMycoIjR36GxVKH1WpD\noVBX0aETiSgXLx5j27YDVQnFyn0aHj5Kd/eWdWmAw8PHaW7uXdN7CjA2dpba2qZ1aYczM6Oo1Xrs\n9rWCCqGQD7e7TMWvoDLmFQoFk5MXqa1tWCOVXllbLl8+T0/PZkqlovAbVH7bbDbLlSsXGBzcuWZv\nFY8vMzjY/ZZju1gsCrS7f6u2kmuRy+WEc/7KV77C0NAQw8PD9PT08NBDD73Ft9/FW+CG69RvdI/V\n+fPn+aM/+iPOnz/P7/7u7wrZ8HcS1/Zw3SwmJ10oFA1kMhmgLCDR1bUZqbT6XH0+Fz6fi0KhHZ0u\nVjV5BIM+gsFp9u17rOqBdjrnqKtrZWFhGJmshNG4iWj0JJs31/HQQxvZs2cncrmcZDL5phTGCqWv\nsvBVeqiuVXurVKYqnN/1+mvW+xvbtm2lu7uLb37z/2Zqao5QyINUWkNX13ZMJgtKZYGxsVN0dm5F\nJiv37RiNdRSLIvr7HyCZjHDkyE9WKZKH2LBhPwqFGrfbjV6vx2SykU5HWVkJo9UaiceDqNVmbLaN\nKBQLTE4exmr9BAqFhHS60vzawOKih+PHX2DfvvdSV9dCIpFkYWGK2trqCV8ikdDc3MXMzAhbt94r\nvK5Uqqira2VmZpSBgaseNt3dm7h48ThNTV3CbyWRSOjr287o6Bms1nqkUimLi9NMTCwhlWqIxQKI\nxVK2bn0fpZKOiYlzRCJeBgbuAaBQyBMMzlFTU0887qe7ex+pVITFxTfw+6eQSmtpaNhAqdRDb+/9\nLC+/gd2+BY8nhFYrIR7Pkk5LaWraTSyWQKOpxe2+wLlzP0SrzfOHf/gojz/+4Tcdx2+Fa8dKpSft\nRj1Y15p+ZjKZqh6s9773AAMD3Xzve//KmTM/Y/fuzxKJ+PF6XRiNNgKBpaqFvqWln5GRIeLxKDMz\n49TWOrDZ6hgZeUn4TF1dO9PTr7Nv393rnnttrZ1YLMHIyEkOHvygQJWVyxWrz8L/z957R8l5l2f/\nn+m9z872Nlu0Rast6sWy3DC2DLZjyUCMSMB2cvxCyJu8gBOHxCSQDueXQ0JJDCTH70vi4EBwA1u2\nem9btKvtvc/OzLYpO31+f8w+o5ktapYsEXydoz80z8yzT/1+v/d9X/d1yWhpOc34+BCZmXlp44xG\no2NiYoSZmRnM5pWzsLdaXCI1YBVUpJZ6Hn2I68fV/KyGh4cpLLzcl1JQUMDIyMhV9zs/P8/LL7+c\nDMhSKbRC4mrpIk9YfC8NSoTPBZ+f1GBMLBaTn59PRUUF27b58Hg8zM56cLlcTE97GR/3LS4UA5jN\n88TjHVgsSqxWDSZTGTpdw01LBggUxluhonY1LBUBEOiBt7pyplAo2L69lv37z6NQqNKCl/Xrt3H4\n8C8YHEx4TgmiOhs23M3p0/sxGjNYv37HomffKOfOHeX8+XdpaLiX4uKNzM87iceD+P3TxGKXqzhK\npQq7vYK8vCJOnnwdi+VBtNpEctDnO4JWq8VgMGM02hgcvERe3pq08VRIAk1PjyMSSdP6rgTMzbnx\n+70rmgWHQgHcbicNDSv3KzkcI9TUbF11m6CaCJcrZwpFQlre7XZSW7ty0sLlmkCt1mEymYjFoouC\nZRHkchkSiRSncwy93rLsvVpY8GEwqK6pAnsj9gC3CoJghZAY+PznP8+f/dmfcfjwYf7qr/4qLej6\nEDcXd0RgNT09zb59++jv70cul1NWVsY///M/L2v4jsVi/N7v/R7vvPMOYrGY559/nqeffnrZ/jwe\nD08++SStra08++yzqFQqvvzlLwOwsLDwgZzTtSBh0jrL0JAXmWyBsbFhnM4JensvolRqmJqaRKPR\nYbHYsFiy6OlpQa3ORSrNob+/E5FIkArNoKPjFCaTOUn/gkS1KhKJEQhM09l5EL3ejsv1Jo8+Wsme\nPY9f08LqegIqYfEmLJZDodBiNj9RoZBKpUku9MLCQpqCjU6n4xvf8N5IugAAIABJREFU+BNeffVN\n3nlHQSjkQa83IBaLKS3dSHv7Ufr721izJqGSaLUWMTx8kaKitajVRhoaPkZz81v4/S5aWt4iGJSi\n1SaUkQIBP2JxEL3eTCgUYWFhDp3OjNc7QV7eJhyOAfr7DyOXK1AqFUSjflQqKwMDXYTDEYxGG8Fg\niMJCOwcPthII+NMqUwDFxWUcPPg6fr83TcmorGwtR4++yZo1dUn52czMHFQqHf397Wnc9Pz8IkZG\n+ujoOE9NzRaOHn0Ht3ueeFyGTleBTKYgM7OCaDTCxMQFAoEwarUJuVzGxMQk8XhCtECnMzIycopA\nwEU8HkOnqyA3dxNzcwPk5dUuZmc9hEIKMjNLyMnJp739EAqFhNHRi4TDSmQyDRChsjKbdesy+OhH\nH7zuZzscDifFS5be/2sVuRACLKVSmSZykZWVxVe/+nn++q+/xdmz/5eCgu0MDQ2QlZXJ9PQAdntN\n8lgyM+10dZ3j7NmjZGbmUFS0BpFIDMTw++dRq/Xk5hbS0+NnZsaFybQ8ixqLxfF6PVitlrRKYwKC\nyEUVw8N96PXmxWqdIjnByuUWenuH2bRp5cAKbi0177KfTcIH5UOVwJuDq/lZ3Sj+6I/+iN27d9PW\n1pasMAqMAMH4diUKoEQiWbaoEyigSytcS+WgtVotWq2W7OzLtC6BOi8wMW4mdT4Vqea7t2tRmioC\nIFBnBWGrWxlc6fV6tm2r4MiRHrKyKpLnL5PJWL9+OydPvrvYd5zLwoIPh2OMSCTGv/7r31FTswWt\n1ohIFGf37k9w/Ph7nDnzLg0N27n33icBMT09F+nubqSwsIri4mrkciXz89OcPfsOFkshtbVbFxWH\nE8qic3PTeL2zdHe30N/fhc/nw+kcQKs1oNEYkMmUGAxW2tvPUFm5ecVz6uu7SG5u2Yr3cmSkF5Mp\na0U59Pn5GcLhcFKRdymmpsYoL7+slBwOh5PP/NRUQklwJXph4rfjWCyJ/YrFEpRKVXJtEw5HcDhG\nychYTgP0+eaprLy6zLpQOfsgBCuuhpUEK8rLyzEYDPzt3/4tP//5z/n2t7/NN77xDfbu3XtHVNf+\nJ+GOuJoikYjnn3+ejo4OWlpasNvtPP/888u+d618da1Wy9NPP01fXx9f/OIXk5Ug4W/dykXFtexf\nyDouLCxw4cJFLl3qpb39OJHIPH6/i+rqOgoKitDpNPj9blpbj/Kzn32flpZTBINKcnPtrF+/i+Li\nCkKhAC0tp7h48SByuY1Ll5ro6Gimra2REycO4HY7OHv2NUymctRqH1/5ymN85jNPXTWoSj1GgXay\ntIcqFAot0kXEaQpLQg+V4KGi1WqTE/rSHpyEXK8vuZ+9ex/hoYcKiERc9PWdAxJiA6Wl9fT2XkwG\nxiZTLsGgh4UFLwAZGZloNNnEYlFyczcwPz/JwsIQCwsLeDwupFIwGg14vR7kchUikRS/30UkEsFq\nrUQuNxGNLqDXKxZFQByo1RaGh93JjGw8DiZTFn197cuul0qlJiurgN7e9J4qrVZHZmY+3d0taZ9X\nV6+nt7ctyX8WUFe3mZGRQTo7m2lqaiMYDCGX21AopGRlrV1sWBcTDI5TWJj47uTkKG73JBJJhLm5\nPjyeAWQyDaWlu5FI1ICaWMyPQqFYrPQlDIEDgTg2WzZjY12oVCrWrLkPiURJaek2srOVPPnkZv7X\n/3qW2tqaa/aSEQInr9ebXABqNJpV7//VRC6ELL1IJEKlUmE0GpM9WIFAgK985X+zbVsWExMX8PlG\nGBsbIRj0MD/vTh6TRmMhEPAyNTVBcXHlYlAFOp2FmZnJ5DNmNBbT3Z1+/wQ0N58lNzefeFyU1veQ\nCru9HJdrfJFaJF2UP08s0EymDAYGXMs89VKv2wcRWAlI9Rb7EO8fTz31FIcOHUpaewgoKChgaOhy\nz8vw8DD5+flLf56G48eP8/rrr/PNb34Tg8GQ3GfC3DTRS7JS/9RKVNKl1arUBdS1SIgL752wWPR6\nvUk66c1EOBxeJgd9uyAkEzUaDRKJBK/XmxSAuVXIycmhpsbG1NRg2ucmk5Xi4kouXjxOR8dFDh36\nb3w+F/X1m1i3bgvRaACTyYhOp6a5+SiVlfWUlNQyPj7Gq69+j6amg6xfv5P16z/CzMw0v/jFv/LT\nn/4jhw//jMLCGurrtyEWixCJElW7xHyVg8lkJRwO8olP/B67d3+W+vqPkJlZTjgsZXLSwYkTv6Sj\no5WLF49z8ODPOXnyXZqaTtHZeZH+/k76+zvIzMxN6wsUMDbWt8wTMnVbRkbeiiqCgYAfr3c+2c8l\nJHWFZ+ZqwhQu18SKbJNEu4KUiYlRDAbzsvscifjIyLi6quutEDm5UQjjRGoi5dSpU4RCIZ577jn2\n79/P97//ff7jP/4jbX38IW4O7ogeK5VKlUaX8Hg8HDhwgH370vs5rpWvLhKJkn46UqmUH/7whzz1\n1FPA5QbeW5UVu1KGSwhWBP66SCTi3Lleioo2U1OzHbXayOhoN3fd9RuYzZlYLNlkZxdTXLwWh2MM\nvz9IIBBmfPwSfr8HrdZIdrad/v5GLBYbdXUPoVBoUKt1+P0+pFIVGk2YnBw7JpOPffvq2bx5w4rH\nLVyXROYqSjAYTA5aS3uowuFwMosqeIQI5+73+9N6qFbLhKT24AiDUjQaRSqVUlVVRjTq5vTpC2g0\nOWg0RlQqPcPDzcRiMmy2HEQiER6Pi3A4isGQsbhQlNHbe5pAIM7mzbvJy6tgZmaM7u7TmM3ZSCQG\nfL4AECUWE+HzjWGxVCy6tftQqZRMTbXh9SaMlMXiEMGgn7KyXGy27MX+BCWtrWcpKlqz6EZ/+ZwS\nPVVnKSwsT+Opa7UGWlvPkJ9fmjSqVas1uFwuPB5Xmru8TCZHLlfzyivfobc34cu0fv0zOJ3nKS//\nKBqNkfn5KUZHT1BXtxeTKYve3ku43Z3MzraRm7uWysqPodfnA3G6ug5gMpURCDgoLKxHKpWzsOBm\ndPQSWVm1RKMLzM4OUFDQQHv7Gfz+XjZvtrN79xYKCvJYWPBhNIooLLy6gaAQiAs9HoLc60oTzdIe\nLEHQIrVSJbwzqT1YQlY5YeSb4LPX1JQxOzuJ2x1jdLR9URFNhdWaj9/vpaOjkVDIh9WaTywWS2Yt\ng0E/Xq8bqzUx9kSjMD5+jrVrG9KOeWRkgKGhbjZvvpeZmWkkEtGKcr0ymRy320UotIDNloNcLiMe\nZ/F9jzA9PU8gMEVR0XJ6jPBO3aqFpSCCkzrRXq9a2weIO77HyufzMTU1lWzMf+ONNzh06BAvvPBC\n2vfC4TAvv/wyTz31FC6Xiz/8wz/km9/8Jkbj8p4UAXq9ngcffBC73U5HRwcSiQS73Z5MNCz1dko1\n/1w6rwmLJqESI/xOsBm51v6h1GpOqmdOao/KjSIWi+H3+5N9l7cbfr9/0eJDnhSuEPqt4vH4qmPa\n+4XFYsbtHmdmJpJU/I1GI+h0Bs6dO8nYWBcPPfRJiooSaoz5+cUMD/dhtWayceN9mEyZ9PdfRKPR\nolAkeptdrkkOHnyVubkp4vEI0WiMUEiKTCZGLI4gl6vQaC4bNgu93OfPv0NhYU2SdqfVajEazRgM\nVgoLy5iY6OHee/dSVbURs9m2WCWKsrDgpavrAnNzM4t2KU309bUzMtLH+PgQo6P99PS0k51dQCgU\nTCZUhfny0qWzFBdXotMtF7wYHe0jEolRWFiS1mcoPDMdHY0UFJSt+NtQKEBnZwu1tZuWrUkSqoEJ\nmn91dUMyyBeLxYv0VMdVFQGF3vE7IbBaqTcwEonwzDPP8C//8i/Jscdut/PJT37yQzrgjeNXp8cq\nHo/zve99j8cee2zZthvhq0skkmVKWLeaBrN0/0JAtdQJfWhoGIWiiIyMxMK6t7eNvLySZYsrp3Oc\nmZlJ8vPvwWotJhTy43L1MDBwlJmZOfr6LvLAA88ik0nR6bIJhwN0dTUSDDrQaELY7Tb27LmHoqKi\nKx7zzaT8XStW8heRyWTs2fMx/H4vb775Mxoa9mE02sjKymVycoScnELMZis2WzEjI+0UFCQEA/R6\nPTMzPvLy5MmFb23tQ/j9biYnLxEMTmIwVDI3Nw/4UCp1hMOzaLUZRCIh8vPX09t7FpEohNFox+2e\nwOeLcfjwe5SWrkUkEpGVlY3RmMHwcA95eSWLE68ckShRnbJac+jubmHt2ssUCb3eQHZ2ER0dF6iv\nv6y6uHbteo4efYPCwjVJwYpQKMDsrIOeHhcLC7M0NOzD45lEozFjMCQmueHhsxiNBSgUOjweN35/\nH+HwMGBCq60hEomjVIrw+WYIhcLEYn4MhlxkMhXxOMzOjhKJSNFoVIyNNWGxFNPc/C5a7RR3313N\nxz9+X/IYFxZ8FBcvn6hSIQzkgg/O9YgiCO9DqgeTQBGVSCSrUgSFTLpAEfzkJz+CxXKcI0d8XLrU\nzaFDL+NwTKFQGMjJKSE7O5uRkQ5cLieFhQHkciVmcz5jY5fVHDMycpmclDAxMZLsG/B45mhtPcfm\nzfcilyspKChleLiXwsLyFc/Hbl9Da+sZysvXAaJFjyERLS3nGBnpwefLoaGhFq1Wu+wa3e4J+UNc\nO67Vz2rfvn2cOXOGsrIyRCIRL774YtocthKMRiPr1yekrTdt2kRjYyP33ntvWg9rKlYKmuFyFUvw\nOEtNViylCV0rBCppai+SQOe+0edX6Eu5EwJ9YVGdyugQ6MjCHOXxeK57nLsWSCQSNm2qYf/+Myws\naFAq1YRCIVpbz1FUlIfP58fjmUGrTQRCMpmMDRt2cvLkO1gs2axZU4NEIqGt7SRyuRSXawqj0YLd\nXkkkIiIej7Jjx8ewWrMJh0OLXlcnkUjiFBZWkZ9fgVgs5syZtzAas6iqSog8hEJhFhYCyWPs62tB\nqzWTnZ2ovCqV6qREeSwWw+kc4667HsFqzVykm/oJBHwsLHhpbz+HwZBIDk5NDRIIJEzNxWIJYrGM\ngYEODIYMfD4PGo0Og8GQpNY7HKPYbIk5UGAyCM9MIODH5/OsqOgHMDk5isFgTUt4pm8fwWLJWuzV\ngnA4sabx+73YbIYrPpu3szdwKVKTLKmB4A9+8AMeeeQRCgpWlrD/EDcXt38kW4IvfOEL6HQ6Pv/5\nz9+U/X3QD/rSTKIQUAlGkamVn/b2CYzGagC83nkcjn7uuefJtP3FYjFaW88gFtvQ6xODl1ptoKBg\nA3l5Dbz22jfJzy/F5xvl0qX2xUbWQSSSGNXVKp599lNUVq5u0CgEVMLC9XoDqqU9NO/nuglqjYLH\n2Kc+tYeZme9z6NAP2LLlc+TlrcPjOcPAQBdGowWTKZ+entP4fPNEIlG6ui5SVrYVl2swbd+ZmeWo\n1fOMjY0yPd3DwkIMlSqOSqXG651Eo7Gh05kYGRlEpbIikURxu/uxWitxOLoZGJhMDvQA5eXVXLp0\nHru9clFy3r+4MJBRUVHH8eO/oLS0BqUysQDxemcxGIycPn0AsViS5j8mlyv55S//HyUl1Xg883i9\nHjo7WwkGFcjlavT6ShyOU2Rn1y56mHUxMzOERmOmtfVNBgZOoNNlE49DUdFmotEofX1dKJUKXK4u\nRCI5UmniGkSjMWKxCENDbSgUBtrbDyKT6QmHe6mt1bBu3a5l1MRYLIjRmMNKSK1sKhSK96WetTTA\nSu3Bu5YAKycnh0984uNs2TLEiRMn+bd/O8T0dBeFhXWYzSaUSg19fWcwGCoYGemnpKQKtdoIRPF6\nZ9FqjSgUWnS6bPr6LpGbW7iYuT2O3V6JxZKJz+clL6+Qrq4m5uamMRiW90tlZubQ1iZmbGyI3NxC\nvF4PZ84cWhTd+ATT01NcutRBVVUFKpUq+a590FTAD/H+IPhZpfYHf+Yzn6GsrIyXX3452R8sFov5\n7ne/y5//+Z/z3e9+l+985zt85zvfYfv27fzjP/7jVf/O5s2b+cEPfsBLL73EQw89hMlkSruX0WiU\nSCSyrLH+ahTApTSh68VSsYfUftnrwZ3el5KKWxFULoVarWbr1ioOHuzEZCqmp6edhYUZ7rrrEdzu\nKZqajmMwWJPBhtFopry8jvPnD3D33b9BaWkVc3PTBIMeMjMLaW4+SSQSIzPTRkFBNefPv0t2diGV\nlVspK6uhpKQah2OEgYEO2tvPMjfnJC+vKpkAFIkS65ZwOEwoFGJ+fpre3hbuvnt54htgdLQHuVyZ\n7JFKJFu1i8ebyaVLZ9m5c/eyHqpAwE9r6xlEojKUShlzcxOMjfXi9ycsN7RaA11drWzb9gBOpwOF\nQpUWyExODmMyZa1a8XQ6x69KE7RYchfPmeRc5HaPYzZbksHKSvf5Wii1HxQEwYrU5LzD4eAnP/kJ\nR44cuY1H9uuFOyqw+vKXv0xfX18y87cUAl9dyOYNDw9fsQqTilQq0QdRsRIGIkHJZ+lLNzExgcej\nIScnscju6GghP790mSjC8HAvbvckVuu9yOUq4PKxt7YeRSSC++57LlnO7e1tIRqNs3dvCU888dCq\n5eulFarUhS1ce0AlLA5vFpaqwT377NOoVP/BwYM/pqTkYdTqROA1OtpHQUEpRmM2ra0nABV2+1p0\nOh0/+9lfMzfnQq+3LA7KmTgcQ+TllRKPZ9LZeQq324VcXoRI5Fy8Hgpcrh6Kijbg843R19dGbm41\nEkk7MzMRTp3az/33PwFAdnYenZ0tTEwMkZ9fkuw3C4fDqFQqTCYb+/e/il5vxOOZR6XSo1RqUaks\nXLrUyJo165PnajbnMTHhxOcLUFragFQq5cSJJsTiCPX1n2N0tB2JJEA8rqC9/RBu9zBSaRSZTMrM\nTBd5edtRKnVMTBxAqzURDk8BIebmYHKyC7E4jt8vpasr0ePl83mZmhpBpTJhMORhs0nZsaOQ9etr\nOX/+CCbT0sknhEaTbkQtNL0LVFGdTnfTFhbvN8DKy8tj7949BIMx3nwz4VnS1vYLrNZS1GoDKpUc\nh2OS/Hw7crkSvd7G3NzkYgO4CKu1FIfjFPPzs3R3X0KpVFBRcblZWiKRkp9fSl9fOw0NO1Y8B7u9\nmv7+NlQqNWfOHKKoaA2VlQl54IQfVjsVFbGkQblKpbotPVYf4v1D6A/euTOhcPaVr3yF559/nh/8\n4AfLvvtbv/Vb/N3f/d117T8rK4toNMq3vvUt9u7dm0zKCVYFwWBwsSqaPs4L7Iil/ViC+e7NCGRS\n6YECDVwqlV6zAIUQyCylNt4uXGvAebOCytWQmZlJVZWTEydaGRvr5+67dyOVSsnMzCEnx05z81G2\nbbsslV1aWonLNUlr63Hq63dRV7eFY8d+SUZGJg899GlOn/4Fk5PjuN0O1q9/gPn5GQ4deoV163aQ\nnW0nMzOfUMjP9PQ4en0+gcAsJ0++RkFBJTk5CfP3cDiMQqGgsfEMOTnlSKUKIpHIMlpkb28zZWV1\nK50WDscIEol0RWEKpVKN3z9PTc3mZSqDoVCAvr52JieHCYXmaWrqw+fzYjRmYDRaMJszGR0dICtr\n9Uqw2+2gpGS5FQYk5jO3e4qamk1pnyfmogh5eXlJM2mBXZNKsbuTEwPxeJw/+7M/4y/+4i9uupXH\nh1gdd4R4BcALL7xAY2MjP//5z1cdoPbu3ctLL71EPB7H6XTy2muvsWfPlSWgP8gBW+gFEbL4SqUS\nlUq1bJJJVKFGMRoTZdnpaRcu1yDl5en9T6FQkObmoygUpZhM2WnnMj09TlfXQTZseDwZDHV3X2B8\n/ASf+tTqQVWqKEUoFEqKUgjHeDVRCkGUQKVSpYlS3GwIAZZGo+G3f3sfe/dWMTz8Bk6nE693lN7e\nDjo7W3A4ppmY6KGmZjM2WxYqlYbMTDutracIBoPEYjGs1gIkkjgKhQyJRMzatfcjFitxOAZxOhOD\ntMfjQ6dTo9VmIJerMJuzGBlpxmjMIhbT8u6776UdX0lJFT09rcljVSqVLCx4OHXqPUZHh5iYmCQ3\nt5yPfvTT3H//E+zY8SCPPvoUNls+VquV9et3UF+/jfr6rXzkI48xPe1ApVJx6tQ7jI/PodNZycqq\nRiaL4nAM4vG4kMnkZGeXIhZHicfDmM1bKCxsIBKZJienDrt9K2vW7KK0dAexWASRaBqLJQu5PIRc\nHkEiCeH1TgBTFBWZ2bkzgyeeaKCurgYQ4fHMpfV+JBIQwWRgJfQ0eb1exGIxOp3ulnHKl4pcLCws\n4PP5ksIRVxK5kMvlPP30PkpKYHJygurqjxAKzeN2jzA62rZoHN0PgNGYw+zsZWNpqdSE0ZjJ8ePv\nMjfnTJPPj8cT2Uy7fQ3j48PLqnsCiorsTE5OcuDAa6xbtyUZVCX2L0MksjIwMIJer0elUiXfReEc\nbgU+rFjdGphMpmRQBbBly5ZVDYBv5N4Gg0HOnj3LV7/6VUwmUxq1XehJXDoGp6rZpVarblUgI7xz\nOp0OsViMz+e7JrEHoaJ2J/R4CAGnUqm8+pe5HFSuJML0fhGPxykszEOlmqekpCLJlACorq4jEAjQ\n29uW9pu6uq04HONMTAwgkUjZtGkXIyP9aDQKtm59GLPZjE5n5PXXf8joaC+g4ODBn/PDH/4pb731\nQwYGuti48UE+/vHf5IEHfpP8/LUMDvbw7rs/pqnpEH7/HIOD7YTDEerqEhYtQguAcM4TEwNEo/EV\n5dcBhoY6yM0tWXGbz5dga6zkXSWXKwkEfNTUbKa+/i527HiYRx55iurqOlQqBaOjXZw6dZienlaa\nms4wMTGadh/m5qaJxVixLxZgZsaJXK5ErU5PIIZCQVSqRIvBSmbSwnx4pyQGVhKsOH36NIFAgAce\neOA2HtmvH+6IwKq9vZ2//du/ZXx8nK1bt1JfX88TTySqA7t376axsRGAffv2UVxcTFlZGdu2bbsm\nvvpS3IqKlVDFEbygBL+d1bJ24+PjzM2pUasTA2Zb2xnKymqTctwCzp07gscTT9LABIRCCxw//u8U\nFm4mL6+MaDTK6dOvMzNzhM9/fiuPP757WVC1UkClUqmSPHFh++0OqJZCoF/s2fMEzz//BIWFImZm\nRgkEIoyPT7Bu3T3k5+cTCvkWzyFMcXE9o6MdiMWXe1z0ehuhkI9wOMGPLyioRyZT4/XOcvbsz7Fa\nszGbc4hEEi7rlZUfY26uB7nchE5nZW5ORWfnZWW/vLwiQMTwcC+hUIimphOcO3cMm62Ij31sH1u3\nfoShoa60500sFlNXt4329gv4fN7Fiowfo9FCWVkDFy4c4uTJ80SjCxQX72JoqI1QyEVeXgORiIqZ\nmXF8vn5iMSlSaSn5+RVMTXWi11vRaC7LwTqdE4RCYUymLDZteorS0m2YzbnMzjoxmUJs2lTK//k/\nn+ahh+4hOzsnqeI4Pz+f5lcSDC6g12sQi8UEAgG83oQCo1ar/cCadK83wBIWcwqFgi9+8beBXnw+\nD8XFW6iuvg+ns4Pp6XYGBjoIBhcwmfKYn58gGk3sT6k0EAqJuXSpmdra7SuKSajVWiyWbPr7O1Y8\nZodjYtFMWkdubvGy7RZLNt3dLubn55HL5ej1eiQSCZFIhPn5+WQV+VbiTlgI/E+D0B/86KOPrrj9\nlVdeoba2lo9+9KOcPn36mvb59a9/nZycHAyGRF+N0FAvJMCW0pNSKYBLpdcFc+5bNXYLlRtBQfRK\nCoICW+JaA5lbiVRFt+uVnU4NKqVS6TUHlVeCIMrwxBO7MZkkhEKB5DaJREpDwza6u5uZn7+sQKlU\nKqmv305Ly/FFyw8dDQ07aW4+TmZmFuXlG1Cr1fzmb/7vxSRLiNraTWRmriESiVJUVEZmZs7i35BQ\nWFjKzp2PsGXLbsJhEUePvsY77/w/bLYE7VwqlS6uH6QEgwECgQU6Os5SXl674jUMhQI4nRMUFZWt\neM6jo33YbHmr9kA5nZNkZeUlK7QymQybLZeKinoqKuqpq9vExo13IZdL6O5u5u23f8Lp04cYHOxl\nfHyIjIzVaYCJ/qrl273eOfLybMn3SyKRoNFoUKvVyTWR8PntxkrvUyQS4cUXX+Sb3/zmh+P9B4w7\nIrCqqqoiGo3S0dFBU1MTTU1N/PSnPwXgrbfeoqEhkfEV+Oq9vb309PSs6GG1EoTJ6GYjNaASGvev\nxrcOh8M0N49gNhcB0N/fTSTiw25fl/a93t4OTp48gkq1BokkkdETiUSEwxGOHft35HI9DQ0foa+v\nmQMH/j8Mhkt84xu/zc6dd6XtZ2lAJZfL0wIqYYKGxOJUmChud0C1FBKJhLq6Ol588bfZtCkTiWQW\ntdpAKLRARoad8fEugsEAsViMvLwqFAoJAwOXhQkslkICgTkgIdeekZEwGBaJzEilIWZm+pFIlPh8\nbpRKM2JxCKu1gvHxTszmDHw+MYcO7U/uTywWUVlZT1PTCQ4dep1IRMyuXY9RUbEOpVLF2rV1xOMi\nentbk0p58Xgci8VGTk4pp079MpkhVSgUVFfX09x8muFhF2ZzHh5PlLm5YSyWTEpLdxAMTjA93cH0\ntBOZLJ+CgjW4XL0YjVmIRBHU6kRgNTvrZHj4EjqdBJttDVJpohl3ZKSP7Gwxu3evpaFh0+JzClKp\nBJVKRTDoQy5XLfZsRInHE+pYBoMKj8dDLBZDq9WiUqlui+fF1QIsQVlQ+H80GqW0tJT77y+nvf09\nZDIJFksBdvsGFAoNgcAYhw//O6FQAIVCxdxcghIaCITp6upl3brNOJ3jS47ictWnrKyaoaHuZePK\n1NQkjY3HeeCBxxCJpDidE8vOJVHhzKaxsSP5zglVT6GCNTc3lzQpvRlIrVh9WL26NbhSf/Bzzz3H\n4OAgLS0tfOlLX+LRRx9dJs2+FC0tLbz00ku8+OKLXLhwASAZgK9GARRsC5aKWQgLrw8iu57KNhAo\nVKnJgvcTyNwKCLTJ91M5E0SYriWovBJS75Ner2fjxlJcrsG0/RiNFkpLq2lqOpI2/iSogiU0Nx8G\nwGbLoaRkHWfPvkdpaRU2WzG9vRe4777HEIulhMNBHn74E+wh144cAAAgAElEQVTc+Sj9/R0cP/4a\nXu9scn/xOCiVGsrLq1GrlWzcuJvZ2Rn27/93GhsPMTMzhVQqQ6VSMzk5SCAQwmbLWfGcBwc7sFhy\nVw2kJyYGF5OVyzE76yIWi6HXJ5ILS4OviYkhbLY8rNYsqqs3cPfdj3DffY+SkZHJ2FgfBw68zuTk\nBCMjgyuuA10uB1lZy/uIQyEvWVnLPQ2FoFJgKPn9/lUtOD4IrCZY8aMf/YiHHnrouosPH+L94/aP\nah8AVCpV0j/mZlSsUgMqQWLzShWqVPT1DREIWIhEonR2tnL8+OuIRHLOnHmXEyd+yZkz73Hw4Bv8\n5Cf/hsGwFrfbzbFjb3L+/EEuXTrNG2/8IyMjHchkak6d+j6h0CGeeWYD3/7219MUX1YLqITAbynl\nT61WJzMxHo8nORne7oBqKbKzs3nxxc+j1Q7gdnfR2dmKRpPFzMwgEEcuV6BQKCgurqav7yLhcGLA\nM5nyCYcXiEZ9xGJhNBotkYiccDhMbm4RWVnlzM1NMDMzgVxuxOMZp6rqIXw+N17vFHl562hvH2Nm\nxpk8Fr/fw8jICGq1kY0bd6JUXm4gF4slrF9/F319lwiFEvcg4Wu0QFnZWiQSJX19LcmB0O/3Mjo6\nQzweIRAQE4n4qKrahVgsZnT0EoHAIDk5O/F4PGg02bhc/YhEMbKyKlhYcKPVZuLxzNLefhq9XoHN\nlo9KZWZqapT29v0UFvp4+umHUColGAymtGsqEoHHM4vFkoFMJicUCrKw4F8UaFAns3R3wiJoaYDl\n9/uTz6vgPSOVSpMVrH37fpOKijgnT76JRCIhL6+aeDzK9u2fJhQK0dj4+qJwzCCzs9N0djZTVLSJ\nsrIahoZ6V50wrdZMlEodIyO9yc+mp12cP3+E+vodZGcXUlpaTWdn44q/NxqtTE7GGBxM0MZS7Qv0\nej0ajYZgMHjTAqwPg6lbC6E/+Cc/+cmK2202W3J+uP/++8nPz6etrW3F7wr4+7//e/7mb/6GBx54\ngJaWRLVc6DEUmBGpEMZ0wcZgKQXwVpn7rgaBbZCa4Rd6j4E7ggIoKLrdrIBTCCq1Wm0yqLzW93el\nBXJBQT5FRRrc7vQkT2lpFSChq6s57fPq6gYCgSC9vQmaenl5DWq1gZaWY6xbtwmNxkJ7+yl27NjN\n/LyXM2fexmAws2vXo5jNuRw9+nO6u5sXx88IHs8MZ8++g91ex6ZNCRrezp2PI5frOX/+EIcOvUp3\ndxOdnedYt24zEokk6X2Zes7Dw50UF69crfJ65/D7/WRmrmzpMTY2gM2Wm+zzWnqbXC5HUi1QgFKp\npqSkis2b7yMvrwC7vZT+/jb27/8pFy+eZ35+DkhU0jye2WV9X4nxcgGTKX2uFJCw9FCg0+luOhX0\nerGSYMXU1BSvvPIKX/rSl65rX9PT0+zevZvKykpqa2vZs2cPbrf76j/8EGm4/SulDwAajSbZKP5+\nINAsfD5fmlfT0oBqtUHU6XRy4EAbFy82cvTozzh37m0yMqwUFpaSl1dEfn4x8XicM2eOYzQWYDTq\n0emiaLUx5ud7OHfu34nHW9m1q4Ddu1V89auP8O1v/wkf+9gjaZPo9QRUqZS/VEGAOxk6nY6/+Zs/\nJiPDg8vVRV9fB1qtBYdjIPmd/Py1RKM+RkcTvTRSqRSTKYtYLEgo5GV8fBSjMQuxWIrP50Kvt1Fa\nuoVg0MPY2DBe7yQZGQWYzeVMT4+Rk1PMwoKcN95ILJxaW8/S19fNxz++D49nGr/fu+w4zWYrdnsV\n588fSlugi0QiNm3axcTEWHICfPnlbzEzE8JkKiISkaFUmgmF3DgcgwwNHcJg2IROl0FZWS2xWIyh\noVYkEgszM+OAiEAgTEvLYbRaOWVlO3E4uuntbWJ6+gj33ZfDZz/7BDqdntnZaYzG5Wp2c3PT6PVm\nEuIoosV/if6qW01Lez9IlZ8WFpxwmSIoFov5gz/4HCbTGGfPvoPZXEA06kMmE1NVdR8aTRE6nYlz\n537G0aOvUlBQitVaRjwuQaMxMTjYnfxbS9+N0tIqenraiMVieL0ezp49zNq1m8jOTmQIS0oqCAQC\njI1dfi5TYbUWcv58H/Pz82n7FrLnOp0uLcB6P8asvwrv9a8qrqU/eHz88sK4ubmZoaEh1qxZc8X9\n/uhHP+Kzn/0ser0+6fMn3P+lUt9XogAKgcztMt8VxB4SfagLSRW12/08CgHnrVB0E5KVQl+OwPy4\n0vu7kkmySCSirq4KiWSGhYXL5uJisZj167czMNDO7Kwr+XnC86ySo0ff4r33fsrBgz/D45nh4sWz\nvP32K2RlFRAOQ1vbSXbseBCRSM6JE68RiYSoqmpgx46PMTExzJEjP6Wt7TTnz79DSUn9on1EAlqt\nnrVrN3D//Z+komILHR3N9PS0Mzo6gNvtSIokCGuQ8fFBQJqkGi7F0FA3mZn5qwb9U1OjWK1ZSCTL\n/UEvy6wvF8SABC3eaLRRWVnL3XfvZuvWe4nHQxw//ktOnjxAR0cLRqN1WZDv93uxWDQrCj6Ew+Gk\nEu5KVFAh4f5BYKW+yXg8zosvvsjXvva16xasEMR4Ojo6aGlpwW638/zzz9+KQ/8fjV+LwEqtVicD\nqxupWKUGVPF4HLVavSqNYbXJIhKJ8MtfHsPl8lNTsxmrtZCSkkoefPAz5OdXoFZbGBnxcO5cB2Vl\n97Fjx+eoqLiXtWt3k5m5FrE4xO7dlfzXf/0zf//3L/D0079FTU3NTQmoUil/arUanU53R2RilkKo\nFHq9XiwWC5/97EfIzjYwMHCSQCDC2FgbgcACsVgUk6kAg0HD0FA34XBiYWG1FhIOzzM62ovPN0t1\n9XqUShNe7zx+vxOFQkNV1d2IxTA52cPc3CTFxVvw+fxMTl7AaCyiubmHY8d+ids9w86duykosJOb\nW8LFiyeXHWskEqGgoBSZTE1Hx2nUanUKDVNMTc0W2tsvsH//f3DuXBPxuIJAwItWm8X8fJwTJ/6V\n6ekBSkoeJze3DJ9vEIdjilBoisLCOrzeGS5efIeurk4OHfp3FhacRKMhurrewONpZPv2XL74xU9y\n9907EYnEiwHAPCaTdcmxwsyMC6VStZgVlKNWq1CpxJhMpqRgxe2kO6QiEong8/mScsepz+tKPVgW\ni4UXXvgc8/OHOXHidfT6bEZHOyksLMXvD+LzyRGLFWRkmBkaOsnk5AATE27Ky9fR39++OEkuHzNy\ncwuRSBT097dz6tR72O0VFBRczsqKRGKqqzfQ3n52xWsnlytQKvM5fPgcgUBg2XYhwBIqWKFQ6IYC\nrDs5MP5Vh9AfPDIyQmZmJkqlEoPBwJ49e3jggQeS/cEvvPAC69ato66ujgcffBCZTMaOHTv44Q9/\nuOq+heBDJBJRWlpKT08PPp9vxTlGyFovFYO42RWZG0WqQqFUKl30CPLf1nlFuGa3Ui1N6MtRqVSE\nQqG0sSkVQrVqpfukVCrZsqWK6el0KptWq6O8fB2NjUeTyZ3jx/fT2Xme7Ow8fD43NTWbqKvbwsaN\nO5maGqat7Rizs5NcunSBn//8RxQWlqFQGDh69L/x+eaRyRQUFpbjdDp5771XMZkysdsrVjw3sViE\nwWBGLpfw5JOfx2y20tl5nnfffZXu7lZCoUTVqrOzcVGRd+VrNDExQH6+fcVtPt88fr8fszljxcRA\nQmY9c9XerKmpkTSZdYPBTG3tVj7ykSfIzMziwoVjDA0NMDjYRyx2+QB9vnny823L9rfafRKooIJC\n7o1SQa8XKwlWnD17Fp/Px4MPPnjd+7seMZ4PsTokX/va1660/Yobf1XwzjvvUFVVRWZmZlJm/Fpo\nCEIwIpjfXospoDBRpD7o8XictrYuZmczKC/fTFtbIzMzE5SWbmJ01M2ZM22cOHGWvr5m8vPXUVKy\nhbm5KXp6LtDdvZ94vJk9e2p55pnPJJ3gU/ct+AlFo1HkcnkyAycEVOFwOI1qJPxekLNOrb4JgZpI\nJEpSSoSsSDQavWWu81eCEKQImSBBjr2wMJ9gcAqXS8XQUCsiURSt1oZCoSUeh2h0AY9nHpFIislk\nRSbT0dj4CwKBCBUVO5DJ5MRiUSYmujCZbGi1WSgUOubnJxGJRLhcA2RmVjA97WZubpA1a3bT3X2c\nSMTNk0/+DgpFgi9usWTQ09OGRCLBYLCk3Q+FQkFeXhEDA1243RNIJDIGBi7R23uR3t5LxOMSXn31\nJaanQaPJRaPJpaRkF07nSbzeIfT6epRKJfF4iLGxYygUWvLz65FIEgbAU1MXMJmU1Ndns3NnJQ0N\nuezcuRalMsxjj30ybdEwPz/DxMQwa9bUJD9L+HAt0NHRxLp1G1CpEmIVoVAQkWiOmpqK5AJP6BUT\ni8W3hRYoHKtACUml36Y+ryKRiEAgQDgcTh6r0Whk27Y6zp49yeRklN7ek8zNBYnFxEQiQSoqKtFq\ncykoqGN2doSpqQHq6tbhdDqAKCaTdVEsIL1HQCKR8Pbb/8WaNbVUV29adsw6nQGHYxKPZxqbLZ3q\nEovF6O+/RGtrF7FYgLKy4lUrHhKJBIVCgVQqTfq8Ced8Le9jIBBImp7G4/GkdP0dilUd7VfB127F\nQVwLMjIyePHFF/n0pz/Nfffdx0svvcQf//Efc/78eRQKBb/7u78LwGOPPcZzzz2HRqPB5XLR1NTE\npz71KT71qU+xZ8+epDjFahgbG+PcuXN873vf48knnyQWiyWfFcH+QJgbhM+FcVsmk922alUqBOU9\njSZRCRCOWwgIP2gFX5/Pl6aIeyshWJYIY5MgVS68g4FAIPmOrwStVks06mV0dBaN5vKzYjZnMDo6\nxOjoAN3dLeTk5LNx4z2UlVUzNTWJSBSnsLACmy0Xvd7M7KyTXbuewGy20tPTxtTUAJFIAKdzigMH\nXmV6eoJIJEhxcQW7dj3KxMQw/f0tmEw2lErNsuM6f34/VmseJSWVWCzZFBdXYzZnMjPjoKPjHCMj\nvUxMDNHQsGNRVVW8+C/xe7d7kvHxQdat27zieQ8MdBKJxCguLkMiWT5edXU1k5GRh9m8vBcK4NKl\nc5SWVi1T/EtYnWTgck1SUVHD2Fg/PT3tiEQSDAYzPt8ka9cWL/OHCwaDAKv2ignJsFTDe+CWPN/R\naDQ5rqfKvz/zzDN8//vfX5XGeK2Ix+P8/u//Po899hibNi2f2z7E6vPUr0VgdejQIQoLC8nLywMS\nAcWVJhohoBKoFdfjsi7wqmdmZnA6nfT1jXPgwGkOHhyjp2eO1177TwYH+4jHCxgYcNLT04fbPYjf\nP74oYepidPQEbvdJrFYnu3dX8MUvfpbq6oSRsBAU3qqAaimETKNcLk/Ki35QE2FqQCWIgwjUSyGT\nW15ejMPRy/S0Hperf7ESsW7R80uC292H3x/HYDDR39+Fz+dCrdZgNpciEknQas30919AJIqQlVW1\nKILgX2zcleLzeZHL1UxPj7Cw4CUUiiEWh9i+/a6kiqMQUF24cAyTyYZEIku7H9FoFL9/jpMnDzEw\n0EFWVhl2+zpqa3cQjQZ57713UKkqiMX86HTFTE6eYmFhlJKSj1JUdBculwOHo5tAwIFOV0Uw6Gdh\nYRKtNoDF4uG5536HXbvupri4iKysLLzeGbxe3zIFJodjhHA4Ql5eUTKTnWiEX8DhGKOqqi454fl8\nHiwWKfn5OcuC7JUWBrcSwgQiNOynVmKX4koBltFopKoql56eQRSKLCyWPBoadjE/P4dMJsXnm8Ru\nr8dsLkAkUqLRLJCRkU1XVyPFxRXJgE5ALBbj0qVzzM8vUF5ejcmUsex4ACwWGy0tp7FYMpPm0PPz\nM5w6tZ9gUMSWLQ/gdgcIhabJybFd8ZoKRuMymSwZYAFXFM0RKu7CIiEejy8zjb3D8CsTWAlQqVRp\nTeIej4cDBw6wb9++tO/9yZ/8Cc888wyVlZWo1WoGBgYYHx9n27ZtV9y/1+vlT//0T/nLv/xLCgsL\niUQiyfFcWOwJQZXwHAiUpfdj3H2zsDSQEeYVmUyWfL+FgP+DONarBTK3AqslKyFxD1MNb1eCxWJi\neLiPSESBXH75uIPBIAcO/Dc7djxEefm6pK+f1ZpFS8tJLJZsVCoNJpOV6Wk3TucQa9duwW6vxOEY\noa5uB1u3PkhOjp25OSdr1mygsLActVpLYWEZsZiI5uYjhEJBrNac5DH29rbidE6yadM9aWOJSqUl\nO7uI4uK19PdfJBwO4XAM4/N5ADFyuSKZ8OrqasJozMBmW1m1r7X1FHl5JVgsGct6q2KxGC0tZ6it\n3YhMtnw95/N56OvrpKZm44rXdX5+lqGhXrZuvZeionK0Wh0DAx309LRjMMjYuLE27XfC+udq9wnS\nPd6E5LwgUnQznu9UGmtqov1HP/oReXl5qyqTXg++8IUvEAqF+Na3vvW+9/U/FKvOU3eGIsEtxrX2\nWAnBSDgcTvo7XeviIxAIMDnpoKdngv5+ByMjk0gkCUW1wUE/ECMWm6SkxIDZbCISGUAsFqHTSSks\ntFFVtTPZ6GswGNL8hAQIAVMkEknjzadORqnGvgLt4mYY+wpSunK5PCm9nUonvJkQAioh23MltUWl\nUsmzz+5BqXyNt9+2MzXVT3Pza+Tnr6egoAaFQsHMzDSHDr1BVdV6Nm16hKamtwmFvCiVJqRSGdnZ\nlYyOnqWmJrZIHctjenoEmSyI3X4fXV1HCIdluN09VFQ8xODgW+zf/1/8xm8kVCmj0ShqtY6iokoa\nGw9zzz2PJQUU+vra6Om5hMmUx549zzEy0o/D0Y9er8NgsPBv//YPxGI5aLUmfL5pnM5GlEoVMpmY\nWMxNOHyBsjIV8biOQKCY0lINVmsGeXl5qFQyzp2TkZ2dzl13uSaX0f0Apqed6HSGZDAuk8lQKJS4\nXOPo9enZrUBgAZstvRdLoDsIHiY+ny+ZeLgVWV8h+BMSIddjRCxw35caDRcWFvJbv7WF7373KFNT\n7RQV1VBcXEl7+xlgFq93Dq3WiNmci8vVQ2XlGkQiFb29beTkXKarxGIxLlw4Qiwm5+GHn6Sx8TB5\neaWryrNXVm7kwoXD3H33YzidY7S0nKG0tIHy8kTCJB4vYnh4imDwPJs2rU2qi60GqVSKTqdLviez\ns7PJxMPSa/Rhf9UHC0F2/bHHHlu2bXh4OC0AKygoYGRk5Kr7fOWVV5DL5dx1V0L1VeiHFTzchCx5\nqv3A0mz27UQgEEirpgkQxB7k8oTxu8fjua5E5o3gZpok3whSx1GBEikYPl/pnGUyGZs3V/Pee60o\nlZVIJBJcLge9vRe5556PMTLSRXFxRfIZ0Gp1VFaup6npKHffnZiT6uq2cOTIG/T3t2G3r6WhYRfn\nzx9kyxY1JSWVSCQympoOIZHcmxzvSkoqyc7Op7HxOIcO/YT6+oS3X3d3I9u2PbwqDS8YTKjlPfro\nZ4lGwwwPd9HefhYQYbMVkJ9vZ2xskJ07d6/4+4UFLzMzM2zfXrwsqAJwOsfRaPTJZNVSTE6OYDZn\nIRavfE0nJ9NpgpmZuWRm5tLX147FEl+29hMCmetJSAlUUGGcFujrV1OPvhpWEqxwOp38+Mc/5siR\nIze8XwGCGM+bb775vvf164hfm8DqSqqAQoVKyAJerwLapUvddHQ4ACtqdTHFxRVIpV1cuHAIsTjK\n5s1qqqvL2Lz5c2RkrJzVvhqEYANI9lB9EAHVUghNuUKW8WZOhMI5CopC1zoAKZVKnn56L3b7Ib7+\n9WZGRwcJBAK0th4mHhcjk6nQ6fIwGjPQ601IpeDxOFAqE8FEQUENQ0OnGB/vJC+vCpXKgFqtx+OZ\nJhLxodfbkUqbiERmWVhwIpHoaWxs5+67J9FoDMkBrrq6nnA4xKlTb7N27Vba2s4gEqnYvPnhJFXB\nZstmaspOd3cL//qvf0Vfn4tYrACvtxOz2cjWrdux20uYn3exa9du5PLEdT158pfk5topLCxNnnd3\n90Uslqxl12N2dhq7vXLJtY0tus+vXXwO1MnJambGtShckfr9ADrdyov7Wx1gCRUWwW9Nq9XecHVl\npQCrpMTOvn1evve9Q/T2nqWq6m7M5hzGx8eYnOyhtHQDSqWBmZk4crmUqqp6zpx5D6s1l2g0kXFv\naTmJ3x9i27YHkMnkmExZdHU1UlOzZcXjKC4uxe2e5K23/i9KpZ4NG+5Py9KKRCKys+3Mzjr5xS/O\nsmVLGQUF+Vc9P6lUukgTStAkhQArVVnswx6rDxZXkl2/ERw7doy33nqLgoKCpHeVWCxOMhZSx3sB\nqwUytwPXEsgICoI3ewG6FKlS77c74BQqGELl3+v1JsfV1Y7NarVSVZVJV9coBoON8+ePUlubEMw5\nduxdurqa0wzJi4vLmZgYpqPjLDU125DJ5GzYsIuTJ9/BYsnGZsth7dqtnD27n7vu+hg2WzabN3+E\nCxcOEw6HKCxM9Fep1Vp27PgoAwNdHD36GnNzk+zcuXdFISQBXV3nyckpWVTLVVFZuZHKyo1MTY0x\nONjO22//GK/Xz/S0E41GsyxAGxjowmbLQS5fuW1jcnKYjIyVBTEAnM4xbLbVx1CXa2JFw2KtVk1d\nXVHaZ4KwiECnvl4IAi7C8y0kqm/k/RSe4dSkSTwe52tf+xovvvji+/aGE8R43nrrrTti/PhVxB3L\nBbmZWKliFY/Hk1k9oV9B4H5f7yLObNZhNCqIx914PH24XBdQqx3s3buFf/iH53n++T/gkUceuaGg\nKlWUQgisVhOlEGgGH4QP1UpmeQL18EbP0efzJRWjtFrtdQVrYrGY++67j+985wWysjRkZdWxZs12\nMjLMiMUBcnIKGBvrRyQSYbEUMT3dl2ymNRgy0eutDAxcSDYHm0x5hMNxenvPE4mI2LHjM6hUWoaH\nz6PV5uBweHnzzf9EIpGgUqmRShPHWlu7iWAwwo9//G3M5gLuuuvhZfxvqzUTqVREZ+cQIpGVnJwg\nd91Vz5e//DxPPfUsweAMlZV1QCJL5vF4cbsdZGenTxIu1zgZGemBVSwWY25uGovFtnhtY0nhFZ/P\nQ05O/uLzcfk3Hs8sJtPSCTJ41apJasNuqiLSjTakCwHVrfDNWirTXltbw96963A4zjI1NYTdXolY\nbGRoqJlIJEpCrMLM7OwMOTn52Gz59Pa2s7CwwJkzB3G7Z9m69f4kBaWmZgPDwwPMzU2vegxyuYix\nMQdGo3UZ9SUxHkUJBr1otTK02pWzsKtBIpGg1WrR6/VEo1Hm5ubS1KmWvke3e1H5PxVXk10vKChg\naGgo+f/h4WHy81df/AUCAZ599ln+6Z/+iYaGBlpbEyqiiT7IUJoohIBIJEIkErmjzHevVTwjVUEw\nEAisKvZwoxBMku80qfdUBcGlvl9LUVlZhlrt5/z542RlZZObW4xYLKa+fgsDA+1pxsEA9fVbGRsb\nwO2eBBI+WGvWNHDu3HuLAkslFBZWc/z4W8RicTIz89iy5aN0dDTS29uSti+LJQOpVIFWm8nAQDNu\n93KfPkiIP0xOjlBRUbNsm82Wy6ZND1BQUER1dQ09Pc384hf/SVPTmUW6YOIZHh8foqBgeeAjwOEY\nIzs7b9Vr63Y7V90eiUSYmXGvqFQYj/vS+pNuVjAu0ANTrUJuRBhsJcGK8+fPMzc3x0MPPXTDxweX\nxXjGx8fZunUr9fX1PPHEE+9rn7+O+LUIRzUaDR5P4oUVXoxAIJDsTboWzuyVkJ2dTXZ2dtKrCLhq\nM/LVINA8Uil/YrE4GQR+UBWqq+H9ZmKE38Xj8WTvyPu5F9XV1ezdu5Gf/rSZ7dt/h7KyBo4f/xED\nA4cRi81YrTbs9k10d3+fhQUvSqUakUhMTk41AwMXFgfrfAyGXDyehLLP2rUPIxaLMJuL8Xq9OByd\nKBQyurommZwcIT8/MfgnON8nEYkk7NjxGKOjXSgUMkpK1iWvx9ycm3Pn3uPll79NOKxh06ZypNI5\n7rvvcQoLK3A6xwkGQ+TlFSEWi4jHZfT0tKLVmgFRki4Si8WYnnZRX7897fxnZpwolVoUCuViFTaM\nRCIlGPSj0ehX7CmYn5/FZLIk/x+NRpDJ4ssad1dDagVLCOKkUikKheKaKljxeDzZ6CsE7LeqoTy1\ngvXwww/icDh45ZWXuP/+P6CiYivHj/+QqalBsrKKkcvNjI4OYbNls3btBg4c+BmhkB+/P8yGDTuT\nNKxEtl1HWVktzc3HueuuR5YFg01Nx5ienuczn/k9zp07QlPTEWpr70p+b2HBy/x8L7W1WVRUrLvh\n8xcCLKGiPDc3d0csIn8dcC2Z3r179/LSSy/x+OOP43K5eO211zh27Niq+wyFQnzhC1/g8ccfZ35+\nngsXLrBhw4bkGCCXy9OqVdcbyNxqCIHM9dLOhWpbOBzG7/df13iyGoT5VKvV3vZrs5LU+7XSxmQy\nGfX1pTQ2tlFVdVfyc73egN1eRXPzMXbsuDwGqVQaKioaaGo6yq5dv4FUKqWkpAKnc4KWlqOsX38v\nZWVrmZ520tR0kO3bH8FstrJt20c5ffpdgsEFqqu3MDzcR1vbSaqqarHb1zI42MOZMwfIz7f//+y9\nZ2BcZ532/Zs+0oxG0ox6782yrWK5yHKPS+JA7BQgQFiWkGUDZNmQsCzZhCxl2eV9wr6b5QUWAiEQ\nyAZICCGduMVyL7Il27Jly+q9azRNU98Po3M0I41kdSkPuj7ZozNn7jlzn3Pf179cF7m5a/1+4+rq\nUyQkpE9YpmcyDWAymdm5824UCgW9vZ3cuHGJv/zl1ZFMWiwWi2lcMFHA4GAfbrcEgyFwsLq7u42g\noBCCggJnmLq729FoQscFH6xWM2FhQX5rn5AVnqvnqO8aJFR8yOXyKRlm+85h39eefPJJfv3rX896\nXufl5S0JBegPO/4qMlZarRaLxUJra6vYtyOVStFoNHPqp+GbaZkphE3mRLLpwKJkqCbD2EiMIHk9\n2Q0qeHsIi4vw3rn4Le6//15WrVJz+vRryOVK1q69H050qLkAACAASURBVK02hPBwNeXl/0tXVxNh\nYXr6+xtxuVw4HA5iY/PxeEz09LRjtVppb29Aq00ETIDXbDYmZhVqtYLw8HSGh+10d5t4+eWfAt7f\n5NSp9zCZhtm69S6Ki0tZv34Pvb1dvPfebzhx4i3efPN5Xn31Z7z11kuYTCpyc7NISgpn48aPkJXl\njew1NFSTnJwt1oV71QnbSErKwONxY7VasNvt9PZ2EBSkGbdw9PR0otWGYrVa8HhGFRQHBnrR6QyM\nhclkRCqV+akmWa0WIiJCp/1bCKQ6JCQEqVR6S08PYa77Sv3PJ6kaO1alUsnf/d2D7NqVwpkzLyKT\nSYiOXsGlS4dGghKh9PfbMZtNSCQejEYjN25cY9u2vej1emQy+YjpswWXy0lmZi4SiZJr1y74fVZF\nxVEGBsxs2nQ7Ol04ZWW7MZnMnDjxFmazkYGBLmy2WnbuXMGKFTlz8v2FTZpOpxPNkhfSX+WvDZNF\nevfu3SvKrj/wwAOkpqaSmZlJaWkpTz/9tF/P1VjodDq+/OUvA7Bu3ToqKir8ysLHelYJwYmlQKaF\nTeBMSZ5wj/o+TwTxpOkikPnuYmIyqfepZO3i4uL46Ee3MDDQ6fd6VtYK3G4PdXX+5tMpKZkEB4eO\n9JJ6UVRUSm9vN01NNdjtw6xduxWJRM7Fi94eHZ0ujI0b91Bbe5WXXvp/qak5TUnJVtLS8sVzbtu2\nn6EhE0eOvCpmr/r6Ount7SQnZ/WE37++vprY2GRxnhoM0axffxu33/4JDAYD584dprW1hdra6oBW\nFG1t9URGBha8AG+Z4FgVVl94vbHGv99kMpKcPCqz7juH5xq+FR9CKehk83uiOfzCCy9w2223kZqa\nOudjXMbMsPhPmAVAe3s77777Ljt27BBv0vlsjp0JfAmV0KwfqOQPvJkRQUJ3MQnVWPiWW01UGiaU\n/FksljknVAKkUilf/erfEx3dTkXF+wQHhxIRkUxUVBZ5eTuprz+D3T5EY2MFbrcDuVyGSqVDo4nA\nbu+jquoUDoebVau243S66e6+AUhJSlqD220mJWUTanUoNtsw9fV2Tp58n+PH30alCmfjxt2iYpM3\n6reLrVv3jfgPeQgNjaOlpR+DIZwNG9ai0+lZu9YbdTSbjXR1tfqp+dntNvr6ukhMTEGlUo9Ir7tp\nbKwlLCxSLGf0eLx14J2dzYSF6Uf6bNRIJN5bfGCgJ2A9fKD+KqvVTGTkzDOuYwmWyWQat6n3Lf1U\nq9VoNJpFm7Nf//qjbNqkp6rqJaKiUunubqW+/upIxjCC8+fLOXToDfLy1hMTk0pXVwsgzHXNCMGy\nYbVaKSjYQH39dbq6WnG73Zw79wGDgxY2btwlzguVKoiyst2EhcVw5MifcLlusm1bwYz7LyeDoHwm\nKIkKPljLmFsIkd4777yTwcFBKisr+c53vgPAW2+9RVGRt+9FKpUSHR3N0NAQISEh/OhHP+KRRx6Z\n0mdkZWVRV1fH888/z82bNwFEcRehwsHhcCypEsC5IDLC80SI0s/EIyiQ+e5iYSpZxUBlY2PX0ry8\nLIKCzH7m9FKplIKCdVy/XoXZbPQ7Z2HhetraGuju9ppVK5Uqios3c/HiMczmIRwOG+np+dTVXecv\nf/kdZ84cprz8TYKC5CiVKsLCIjAY/MlIUFAwpaU7ycgo5OzZQ1RWllNZ+QGZmav9lAt94XQ6aWmp\nIz19vD+WUqkkNTWP+Phk1q7dTG9vO++//yqnTx+lt3fUCLmzs424uMn6pzqJiZm4/2qiv7tcQ0RE\neAOQC0XGpzq/AwlW9PT08OKLLy6b+C4x/F9NrM6ePctHP/pRvvvd7xIREcH58+cJCwubV0IVSBxj\nMkyVULlcLjGSJZFIxM2qL6FarM3pWIyNxHj7e8zimAVFs7kmVL7Q6XQ8+uhncbmqqKk5R2JiAR0d\n1WRlFaLT5ZGTcxsuVyfXrn1AXd05envr0OniaWs7h8MhJSgoGJlMgV6fRkdHFXK5DLlcSUzMSnp7\nr5CTswuZTI7RKOWFF36JThdHcfHmgM7w584dIjw8lrKy23j11f9BoVBy//0PolYrWblyvbgA1dZW\njjT7jm6M2toa0OujxWOkUhkqlZqhoX70+kgsFq9Rrjdr4hrpo0pCKvXPehiN/QG9PgYGeggJ8Veg\n9HiGCQ3Vzfo38F0wBILlOw9m0ks3H5BKpTz++CN85jOFDAy8j1yu5PDh33H+/DEuX77C5cuNlJTs\npLh4AytXrqOy8jQ2mxlvH9YowZLLFUilcrKzizh9+jAnTvyFoSGrH6kahYTISAO7dhWye/cmNJrp\n9VRNF0IPaWho6JwLAixjFPv376e8vJyUlJRJj/ubv/kbKioqqKio4Ic//OGUzi2Qsu985zuEhob6\nZTWEe2oq5UQLAYfDATCnREZQENRoNKKtyWS9SAKEXuqlUh4peI5NZa2eLGunUCgoKcmlv7/RL2gV\nFmYgMTGTqqrjfucKCtKQm1tMZaWXSNXWXuP69Uv09w/w0ks/4MiR17h27RShoTpaWm7iclnYsOE2\ndu26n7vu+ltsNjunT78bsOctJSWTLVv2UVd3kytXKiZdP1pabhASEoZON3bdEQIF3r731atLWL/+\nNjZu3I1areDMmYMcOfI2169fwWQamlCi3WQyMjw8jF4fOFA10d9dLidyuUNUZA5EZOYTgea3IOQV\niIx7PB6+9a1v8c1vfnNJBFOWMYrFfwKP4Gtf+xppaWlIpVKqq6sDHvOtb32L6OhoioqKKCoqmjTS\n19LSwsc+9jF2797NH//4RyIjI8XNy3TJz3xAIFQWi+WWhMq35E/op5JIJGKkcqxC4FKBEHWTyWQ4\nnU5RFng+CZUv0tLS+MpX9tPXd4CGhquEhUXT0nKFjIxV9PQMEBOTzNBQE729FVy+/ArXrx/FZLqJ\n211LQ8MFrFYLiYlF9PffHNlIQ0REDmBDItFiMCTgdA4zOBjE4cN/Hlf6aDYbOXbsTcLCEklOTufL\nX96DzSbnoYe+jsEQTkiIgbS0bMBLwFpa6sjOXuF3jpaWm8TF+ZcK2e02TCYjcXGJSCQSnE7nSHTN\n23+n04WOOd5bzubbRyVgcLCfsDD/1z0e2y2FK6YDwUfNdx4IG4ulNGf37dvH97//JcrKYpHLHXR2\nNrFqVRmpqRtRKGQjvXhJREWlcP58OS6XG7dbELoYJVgJCSlYrcOcO3eS1avXjyNVHo+Hjo5akpI8\nbN26ft4VynxlnKfb77KM6aG0tJT4+Phbri8zWX9cLhcXL17ks5/9LAkJCaIPlBC4EOxCFrvcc76J\njKAgOFXhpKWokDjdjfBEWY3IyEiysvT09LT5HZ+Xtwqz2UxT0w2/172qtN28/PJ/09PTQFhYGLff\nfi+FhZtJTExj27a72bnzPj760c/Q39+Dy+UlUQqFgtLSnXg8ck6delusnvGFw2FHpZKwY8fdnDv3\nAVVVJwKSsPr6alJTx2erXC4nHo83mBgVFS+uEeHhBlasKGHTpr0kJqZSWXmc1tZmrl+/gs1mHXee\ntrZGIiPjJ5FZbyIiIm7c34eGBomPjxCl7xerV1GY30K/nRA0EfZ+As6fP09fXx979waWq1/G4mHJ\nEKu5jvQlJCRQW1vLl770JQwGw5R8rOYCtyJtYwmVSqUaR6gcDscte6iCg4MJCQkhKChIFAyYS/Wk\n2ULo6RAaM3U6HSEhIXg8Hr9IzHyjqKiIf/iH/ZhM5XR399LaehGVSkFERBJuN7jdLoKDC0hIuIvS\n0i8THZ2F02lhcLCS8vL/oq+vA6lURlPTRQB0unjUajWDg204naGEhQURG7uRioo6fvSjb4q/weBg\nL8eOvU1ERAoOh5mvf/1ePJ5IHnjgq6SlpdHR0Uxh4agp6PXrF4iJSSY4eJTQePtv+omP9ydWbW2N\naLVhuFxulEoVwcHeyHV7eyPBwWE4nf6bjIGBbjQaXcDenaGhAQyG0UyWl/S45yyDIpgqmkwmZDKZ\nOA+ErOtMeybmAx6PB4PBwKOPPsCdd6bR1XWB5uaraLWJ3LzZJBp6rl69DrPZSl3dlZESrFGC5XZ7\nqKw8TnR0Eps3f4Tjx9+mq6td3KB4PB7a26+Tnu41oFyIzd6yj9XSw8svv8zq1avZs2cPp06dmtJ7\nfvzjH6NQKLh06ZJfEKe3txeHw4FWq0Umky36fTVWlGG+MJVepKWokDibrKKQ1dBqtWJWIzMzFYVi\nAJttdI8jk8lZtWot1dVnsdu9pb+NjbUcPvxnMjMziY6OITV1BSkpOURGxlJSspnW1kba272KlRER\nMaxYsY4zZ94XSw1lMhnr129HpQrh5Mk3xfOCd904d+4wGRkryM0tYsuWfVgswxw+/Eex9BC8JvVO\np3ucKIXHw4iVgJL29gaSkkY9AwXlS41GQ1JSBnp9FGvXbmJoqJeDB//EhQsnMRoHxeO7ulqJjp6s\nv6otoBrg8LCJhISokX+PV95baAh9skqlUsyeCeJoLpeLp556imeeeWb52b4EsfghnBEIzvNzGekT\nHuxarVb0sYLFyVgJDceCRK6gcOTrQyUslkJUeSKVP9/3CccKZG0+DVunAsFbxel0iqRRGKtEIvHz\nwBJUj+a7FGzdunXExsbyf/7Py1y5YuStt/6H5ORiBgac2O0ynE4r2dlrUSgUWK3rMZlMxMQU0th4\nltrat5HJFNTVHWF42EZoaAxDQxbsdhdBQeEolRZCQ0OAdZw5c4Hm5s+wY8ed1NdfJzIyHrP5Mn/+\n8wsMD+v51Ke+wPr167hw4TDr1+8ShSdMpgFaWurYuvVOv3E3NV0nNjZRlPT29lDYaWmpIyYmYeTa\neo/1bqgGiYqKxeFwYrc7xM1NX18XYWHjywBNJiMSidRPuMJms6DXT92IdyJM5kUlzGOVSsXw8LBo\nNj1d88W5hGBpIJFI0Ov1fPOb/4TL9f9w4MA7WK0DpKbGYrEM4vHokEgkFBZu4vTp9wkLi0Cvjx7Z\nNNk4f/4wEola9LfSaDScPv0+OTnFxMYm0d/fTE6OhqKilX5KbguVsVrsTP0y4OGHH+bJJ59EJpNx\n4MAB7rrrLq5du+Yn8TwWTU1NfOtb3+Kdd97hvffeY8+ePXzxi1/knnvu4dOf/jSf/OQn+cxnPiMG\n44T76la+SHON2fr9TBeTKQhKpdIlpZAorP1zISzi6ydptVrJzU3g7Nk64uPzxOdKVFQskZHxXLp0\nCpVKR2vrddat24rBEE19/Q3Onz/Ebbd9HMHXcPXqUiorjxEeHolaHUxycgZm8xCnTr1LWdlHxedz\ncfEmKitPUV7+Bhs23I5aHczZsx8QHKwiK8trExIUpGH9+h00NdVx/vxRoqPjWbFiHbW1F0dMjP1/\nD7vdjkwmY3CwF7vdMc5GBIR9mwur1UJm5kqkUm+wubn5OseOvY1eH0NqahYDA72sXRu4TNArs95D\nUdEmv9e95XYm9Hp9QOW9xYKwbxTm87e+9S0uXrzIjh072LZtG+npE8vRL2PxsGQyVlPFTCJ9gXys\n5hvCBmY6GSqhZGoiUQqhhyqQJ41Qhy2IRix0xNI3QyWVSgkJCUGlUgVc0ObSA2uqSEpK4umnP8fO\nnekYDMHodDq2b/84YWEGPB4rNptxpA/FWzLa399EUdHdpKbuR6nUotOpcTgsmEwDGI0WpFITGk0I\nfX0D1NcfRKkMQquNoqsriJde+iXNze3U1tbyxz++wtBQCKWlm1EojBw48BIajZbm5hoqK49TWXmc\nt9/+DW63lJs3a7h8+QLV1Re5erWKixdP4/FIqKu7Tl3ddVpaGhkaMjIw0EN8fApjL+3AQA8xMXGo\n1WrRvNdms9Hb2xlQuKKvr2uccIXFYiIqKmzcsVPFdLyofKOvHo9nRk3ps4W3L80sRpJ9+xQfe+zv\nWb8+laamCi5ePMX58+dGhCDkBAVpycry9lKZzYMMDQ1SXv4mCkUo69ZtHwlseMjOXs3atTu5efMK\n58//heRkCRkZyX4Zh4XOKEkkkiWx0fxrRVRUlBj4uu2220hMTOTy5cuTvuf111/n0UcfpaSkhCef\nfJL333+fmpoa7rzzTvr6+vjEJz4hHuvbqzEVX6S5wmKWTwXqRTKZTEvSs2our42wlqakpBATo6C9\nvcnv2bJyZTGXLlVQV1fJpk13YDBEAxAXl4RGo6empkI8NjY2gdjYNCoqDouv5eUVotXqqag4KO4n\nvJ5ZpURHp3D8+JucOXOY4eF+1qzZMW58SUlpbN26n+FhF2+//SIdHW2kpmb4HeMNKjtRKpU0Nl4n\nPj5twgCb0HMsrCtBQUGkp+ezZctHCAsL44MP3qCjo5Pe3t6A7+/ubiUkJDygzHp4eDBqtXrORFfm\nAr7qkUqlkqeffpqdO3fy/e9/n+rqalHEZhlLC4s/c6aBhx9+mIaGBiorK3n88ce566676O/vv+X7\nBLl1AfOZsfKNDM83oQr02SqValbqSdOF2+0eR6im2jMy32aQY2EwGPjCF+5iw4ZwWlqO4nRaSE3N\nxOmU0dBwAZfLhVYbg8czTFCQhq6uOjIzC4iMLMNk6sdo9CoqFRTcTXh4JDk5uygr+3uUSi1mcyta\nbTIaTSZyeQG1tW2cPn0Tm03HqlUriYkxYDQOk5NTRmRkKgqFDqUyFKPRjN3uJikpBe9z3InLNUx3\ndxNWqxmHw0JLyw2am69TX3+J48ff4fr1asrL3+Tgwdc5ceIgFy6cobq6koGBQTSaELF0IigoCIVC\nTm9vDxqNblwPWCBFQLd7mLCw6QtXCJnVoaEhnE6nSJynsjgFKm9ZyHkrl8sDimjodDoef/xTrFmT\nisejpra2he7uVuRyBUFBQaSkZBAfn8Nrr73AwYN/Ijk5n5KSTUgkUr8SwYiISFasWMHWrbls3LiO\noKAgzGYzRqNRbPKfTyyXAi4ttLWNlkZdvHiRxsZGsrOzJ33PI488whNPPCH+PywsjEcffZTq6moy\nMjL49Kc/TXV1td89EyiANZ/P1+mIMswXhF6koKAg0etxoYM1gTCf5ZECqVy/vgiptB+TyYjNZsXt\ndtHc3IBGo0ahkKNUesmE4L+3Zk0pzc219PV1iefKzy/GZnNw/fpF8bXi4jKGh51cvnzC73Pz8gqx\nWp2cPfseeXlrJ/zd1eog1q/fjkwWhMUyRGXlGfG5JwhWKJVKXC4X7e1NJCdPnIVpa2sQ1QAlEqmo\nlCuTyUhKyiI+Pp2srFyuXDnFkSPv0Nra5Pf+9vZmIiPHlwEODQ2SlBTl17e+2AhkTKxQKKirq+Pn\nP/85q1atYt26dXz5y1+mr29iY/plLDw+VMRqJpE+8E7GhTI9Ex7ggsrfQhCqsQi0UZ3rnibf3pnp\nEipfzJUb+WTw9UtSKpX84z8+yCc/uZLKyl8yPDxEYmIOg4PdNDVdIjg4AofDisGQyuBgMzabiYyM\nVbhcWozGPmSyXqzWAeRyNRZLB8HBEaSmbkWtDqOrqwartYnQ0FRcrigUChcbNxayb999bN78ET71\nqYcpKdlIXl4heXmFpKfnYDb3sGPHPlat2sCKFWvJz19Pfv56pFIZxcVbKC7ewqZNe9my5U62br2L\n9PQcbrttHzt33k1x8UYSE1MIClJQX19Nf3837777ew4depMLF07S3NyAyWRELpeh1xsYHh4WjbEB\nBgb6/PqrvLAREhIyo2s7Wy8qobzFVxVprjdFwmLlO28nyqyC1/z7a1+7l8JCFVarh/feO0BfXxeD\ng73U1VXT3d2ITBaK2y0hNNRbRiKRjAZY7HYbbW2XKSoyUFa2HqlUikqlIjQ0FJVKJSpmCspP84Fl\nYrVw+MpXvkJiYiJNTU2sWrUKiURCdXW1n5fVE088wapVqygoKGD37t0oFArKysr4xS9+Mem5x/6G\nX/nKV3jwwQd57bXX+O53v8s3v/lNHnnkEdrb2/2O8w1gTcVjcCaYqSjDfEDImgtiD9NREJwPCOWR\ngTyr5hIajYa1a7OxWHqQyWS0tbVw5coZdu7cR2hoFNeuVYwQGTtKpQqNJoTc3GIuXCgXs1EymYw1\nazZTW3tJJFwymZx167bT0dEm+mNZLCbKy99Fr9dy++2f4ty5Q/T2dkw4tq6uNpRKuOeeh/B47Bw6\n9Drt7c04nQ7xM9ra6tFqw8aJLwnwWo/0EReX5Pe6VCpDrQ5CoVDS09NOTk4hmzd/hLS0TGpqKjh0\n6E2amxvweDz09HQQG5sQ4OxmIiMNS0o9MpAx8YULF+ju7uZjH/sYTz75JNeuXRN7K5exdLBkeqym\ngra2NuLivNGGqUb6YPyCNB8ZK98eKkB01hYw0x6q2cC3Dttms2G32wM6uU8HQkmDoGTo2zszG8zG\njXwiCL+J4Nvj+90//vF7iYuL5sc//iONjc0kJZVQW3sCtTqMoKBI7PZ+IiMzuHLlCMHBccTFrUIq\nldHTc4O6ukNoNBFotXWEhMTh8egwGo3o9WmYTM20t18mJCSSj3xkDxqNm5SUTEJD/ZX33G43p0+/\nS3R0ivigF0jK0FA/vb2dlJRsHhc56+pqZfXqUpRKNUqlWuydMpuNZGWtIjU1a8SgsYOmphoaG29g\ntdqprb1GfLzXkHF4eBjwCleEh/sKVzinJVzhGw2e7bzyhaCKJPTrDQ0NzbpXxPc+G9vzdSvExsby\n1FN/x6FDh/nZz/7Iyy+3k5aWjV4fw4oVm7jttnhqa69y9uwhcnIKiYtLHTHKNmEyNVBamkJiYgJu\ntxuPx4NUKhWzy0qlErPZLGb7xpqBzwWWidXC4dlnn+XZZ5/lxIkTJCcns2mTt5fjrbfeEo954YUX\nAHjxxRd56aWXeOedd+jp6aGwsJCdO3eSlJQU6NR+ePPNNzl37hzPP/88EomEgoIC3nrrLf7yl7/w\nmc98hs2bN/OP//iPYpDEtxdprp6vAuZClGEu4Sv1LvT1Cs8qgXAtlCKpcG2Cg4MX5POSk5Oor2/H\naByguvo8eXlFKJVB5OUVcOLEX4iJSUKrDRM34qmpmbS2NnD16jlWrFgLgE4XSl5eCefPH2bLlv0o\nlcqRrNMOjh17h97eHrq7W0hJySQnp3gkWBTM6dPvU1y8lehof2EKt9tNdfVZMjNXEhyspbh4O+3t\njVRWnkCr1VNUtAGJBJqaakhKyhz3nQS0tNT7WY+MRV9fJ1ptGHq9AbvdTmRkArGxKXR0NHPjRiWX\nLp3BZDKNK4t3OOwolS4xwLYU1CMD9Xm5XC7+5V/+hV/84hfiXIqIiOA//uM/FmuYy5gAi/8UHIEQ\n6WttbeW2225j5cqVABNG+r7whS/wm9/8hqioqMlO64f5iFb5lvwJTYYSiUR8cC1EhupWEEpCZlNy\n55uhAm955XwspNN1I58IYw1oA5V6bdq0ie9//1GSk4cYHKxELpdTUfEm7e2dNDRU0NXVi1SqRiIZ\nJjExn6AgDyUlf4NKFUxvbytnz77CW2/9jGvXzmK1dmAygdlsQaFo5R/+4V7uued+srPXcOLE26Ir\nPTBiHPs+Eomc1avXjswhO1arBY/HTVtbHQkJGahU/tFfo3EAh8MR0I+qt7eLyMho5HI5UVHx5OYW\nU1a2h+zs1eTk5GM291Fe/jYnThykra0Jo7Efj0ciZlEBrFYLkZGht5x/Ql/SfHtR+crOulyuGWVe\nA5UoTtTzNRmUSiV79uzm17/+AWVlOSgULrKyVhAb61WfysjIpaRkF7W1V7lw4SgNDVexWGrYujWH\n5OQk8fOEAIvL5RIJj0KhQKFQiBmsoaGhee05XCZZ84+pyK7/7ne/46GHHgK8G6R9+/bxhz/8YUrn\nX7t2La+88oqfSIREImH37t0cPXqU7Oxs7rzzTn7+85/7lZsGer7ONis8PDy8pHqZAmUdFrrsXMBC\nl0d6xSXyaGi4gE6nIyMjT+xFio9Pp6KifGSPMfqeoqINNDZeZ2Bg1IDXGwyMpKqqHPBe1/7+XoaH\n7Zw69R4rVhSTl1ciPtcSE1MpLNzK+fMf0Nrq3/fT0HADt3uYlJRRifXY2GQ2btyLUqng6NE3uXq1\nEqPRSGJi6oTfra2tYZxCrv/fG4mOTvArg3c47ERGxrJ160fQaLSYTEYOH36b9vYW8X1emXUDLpdr\nSWRcwTtvxoo5/eY3v2HLli1kZGRM8s5lLAUsPjUfgRDpG4tAkb7pYj4yVr4ZKqlU6qfEZ7fbFyVD\ndSuMVU+aioKgb4ZqupH+2UColfdVuFIqlZOWbYF/FsUrNDD5hj8pKYm/+ZuP0tOj4sqVGioqLnP9\n+hWcThMrV6aRmJhLX99NmpurMZluoFQmExW1ApPpXRwOM0qlhejoFHp7zcjl7ezYsRm1eohjx14l\nOjqalJQs5HLlSDRvGyEh4VRUHARkrF27FZfLW0IjzCGn00Vzcy1lZbePG2tbW/2IP4f/9TeZjLjd\n7nF+VABDQ/2sWFFCVFQsbreb9vZGmptrOX26BolEyeDgAFptCDKZDLN5iPT0iYUrhE2LEEBYqCis\nbwZLiDpPJYPlcDiw2Wxi1HouNjdarZYvfvGz/PGPr3Hx4pvI5ZGsWbMdpVKNThfKqlVr6ei4TEKC\ngw0bNoiiHL5Rco/HI2avBGIrlAgKoiNCz+JcZLCWM1ZLE01NTSQnj24Uk5KSaG5untJ7o6KiJgwq\nymQyPvvZz/Lxj3+c//qv/2LXrl189atfZe/evX7KnMLz1WazzTgr7BtZXwpzTPCsCrSmTaYgOB+l\nVF4VV8eCq8uFhoaybl0WDQ1e4iiRSFEqVWRk5NLZ2cK1axfJySlAJvMSrOBgLVlZq6moOMrWrfvE\nOVJYWMqhQ3/i2LF3sViGUKnkrF+/CYtlHdeuXSA6OhG1epTYx8YmoFDs4Ny5wwwPW0lLy8dms3L9\n+lmKizf7rVuCnUxJyTZ6ejp4++0XUam0DA/b/FRqBVgsJozGfrG/KhC6utpYt27byHeWIJcrkMnk\n4jpgtw+ze/fdOJ3DXLlyhhs3qsnLK8DhGEKveEdWDQAAIABJREFUj18yghWBlDX7+vr45S9/yQcf\nfLCII1vGVLFkiNWHBZMRKkDcMDmdTvEhvtiEyhdTLbkTDIoDyWUvJITNpUCwJtoACJtuIeo0nQxK\nYmIkFsswt9++i9tv30Vd3U2effb/o7W1gqGhOHS6cCQSKyZTH42NJwgJSUGvL0UuvzASHZOSkxNL\nWJiZv/3bB3C73bz22vMcPfoGERFRxMQkEx4exZ///EtCQkLIyyshJ2c1TucooZJKvXOoru4Cen0M\nOt14AYmOjiayswvGvd7Z2YJeP15eVjAGNhgixWsZH59KfHwqHo+EwcF+zp//AJ3OQGpqNnb7IGp1\nlLjRFzC2/FPwoVpoCJnXWxEs4e9ut3teyn6kUin33nsPTU1NHDz4AUNDlYAMjUZNfr6eO+7YK5Zg\nCRltQcp9LMFyuVw4nU7x/74lgnNFsMYSq6WwAV7G/CMoKIhvfOMbfP7zn+c73/kOP/3pT/nmN79J\nSUmJOAdmUy4ulLktpQ2p0+m8ZY+o7xooeEAKGeO5+h6LXR5ZUlJMX99xzGajKFwkkUgoLi7j1Kn3\niYtLQa32eiTJ5TIyMnJpb2+mpqaC3Nw1uFwu6utrMJuHqK29zN6995OSkiue32Qa4PTp99i48SN+\nAauIiBhKS/dw8uT7OBx2BgcHR2TfR9cnoQdOqfQGScPCDERExBETE8ORI2+SmbmS9PQcv+vW0lJH\nRESCaD0yFr29nUgksnHBReG3djhsWCxmQkLCUKvVJCSk0dBQw7lzR9Hrg9i1K39JCVb4Zlw9Hg/f\n/va3+cY3vkFQUNAij3AZU8FfDbHy3bj4lj9NFVMhVEKGSqFQiOUXUqkUp9O56IRqLHw3cDabzc9L\naCkQqrEYm7Xwmgl6F8Lh4WFcLteMsyiRkXqqq2vF/6elpXPffXfS1NRJZ6eboaFuHA47CkUIQ0MN\nSKVKgoOVBAXJ6O8/yV13FbFly32Ul79Da2sdiYkZlJRs4+bNi6SmrqanpwOQsnr1Ztrbr6NQyHG5\n3KhU/nPIbrdTX3+Ndeu2jxuj0TiAzWYNaGzY09OGwTC+Ibe3t3Oknn78bW6zmSkqKkOvj6Ch4RqX\nL59Cq1Wi0RRiMplQKBQjC5JjSc4FQUp6eHhY7JuQyWR+Hmrz7d+TlJTE3/7tA5Me47uJG0uwAPH/\nKpVK3PyM7cGaLcEa62O12M+eZXiRlJREY2MjxcXFgDeDlZKSMuefExkZyX//939TW1vLE088gcvl\n4umnn/YrKfK9p8YGASaCby/TYsPj8UxbeGCmVRFTgdBrvVjlkXK5nJKSXA4duoJanY3dPoxKpSY4\nOJiEhAxqai5QUrIdu92O0+l9RhUWbuDo0beQy9XU19eg1arZunUvXV0dNDRcIykpW3z+r1xZwpkz\nR6ioOMTatbv8PlunC2fjxj28884fMJs7+eQn/9Hv796A4mi7REPDDQwGPcXFWxkc7OPixWO0tjaw\natVasey9ra2RzMyVE37ftrYGYmImzmZ1dLQQE5NISIh2JMDtICkpE70+Eo+nddGChWMRSLCisrKS\n9vZ29u3bt4gjW8Z08FdDrARFpKk25guYDqHyLflTqVRiLbfwAJ9vI9yZQCB7giKfcGPPVNltviGM\nTfBo8ng8s970h4WFARa/TWdCQjIymYf7799FX18fRqMRo3GAqqoTbNq0h5CQEEJCQnjttRcYGmrD\nZrMQH59OU1MNiYkZJCWlU19/FZnMTUnJJux274Y/Pj6Zixc/QCLxkJNT7DeOa9fOEhERG7CHqrn5\nBtHRieO+o9vtpre3W2w89kVfX6efOIUAYaNuMEQgk8nJyMgnISGdnp5LGAyGcYqPc1VGN9cQehcE\nwuLxeETp9KVAAH0RKEoOoFKpxI3c2BLBiQiWcM8uxefJMqaO++67j+eee479+/fT09PD66+/Tnl5\n+bx9XkZGBr/73e84deoUjz76KNnZ2fzzP/8zERGjzwjh/rlVubhQFqzRaJbEHAy0IZ0qAlVFzGa9\nFjL8i31toqKiyMxs58aNZgyGGPE3zMsr4NChN+jubiEmJhmnUyiZluJ2S3n33f/lnnseJC7O2+8U\nFhZBT08HV66cZuXKDYDQy7WJ48ff4/LlU+Tnr/f7bLfbg0olQ62Op7LyKMXF20cqd9yieqQQ4K6r\nu0JRkfe8oaF6Nm26k7q6ak6dOkBCQgYJCUnYbBZiYycmTu3tzRQXb57w752dzcTFpSFItAsVOf39\n3axfn7ok9jrCmMYKVjzxxBM899xzS+I+W8bUsLR2H/MIjUYjbmam0mM1VpRC8MaYqiiF2WzG7XaL\nEWahdGmx/TTGQoj0mc1mMSskkUiwWCyLJk87GQT/IaG5MygoSDQnnmkzslKpxGDQYrEMia9FR8fS\n29uNx+PBYDCQmprK6tWFREfHotMFYzAYUCqVpKXloFRKOXnyfeLiEhgY6MVsNiKVSsnLW8PVq+cw\nmUwjGSoVERFRlJTcRn19LVVVJ8XPM5kGaGm5yYoVhQHH2NHRRHx8yrjX+/u7UamC0WrHl7/09/eg\n14/vwxgY8Ppa+WayhoetpKYminMeIDg4GJlMJl7vpTYXhJISq9WKQuH1lvJ4PKLK3lIbr0BYhWyr\nWq0WnxVCOeBkIheCTLsQJDIajVP6nstZqoXHVMSYHnjgAVJTU8nMzKS0tJSnn37ar+dqPiCRSNiw\nYQPvv/8+O3fu5L777uOZZ54Z5/N4K8P5yXqZFhpCn9dshQeE9W+2xvXC2rQUrk1OTgZudzcez+hv\np1AoWLWqhKqqkyOVGAqkUgknThxAo1GTk1PA4OCoL5KXRG2ktbWR9vZGv/OsW7ed1tZG6uquiK/b\n7cOcOXOQnJxV7NnzcYaHPZw69a7YCiGXK8TS96amWoKClH6lglKplIyMfLZu/SgWi5HXX/8tSqVu\nwmBZX183gFjyPhZeAtXj158liK1IJBbCw8PF33oxIXid+X7P3/72t5SVlZGZObFa4jKWHv5qiFVw\ncLBIrCbDbAnVWJU/pVI5TtlsKWz6hE3p0NAQbrdbNJJUKBSicprvpm+xMTaLIqgSCqp0s/XASkyM\nwGweJVZBQRo0Gh3d3a1+x0VGxtPe3iD+PyYmieBgLXq9gbNnP8BgSKCh4Sput5vQUD0qVRhNTVdG\nCLa3jj8yMprS0j20tbVy6tT7OJ0OKiqOkJqaR3Dw+Ebnvr4uXC4XERHjSVJ7eyMREeP7q9xuN4OD\n/URGRgc4X6co0y7AbDai06n8/F8UCsU4X6mlEByYSOlPqVT6zV3hXlwK4xXKbSUSiej5JqizCXNX\nMHCdCsHS6XRTJljLxGrh8eyzz9Lc3IzdbqetrY1Lly4BXjGmoqIiwLu5+/GPf0xtbS03btzgwQcf\nXLDxSaVS9u/fz7Fjx4iMjOT222/nxRdf9Ht2CnNtrOG80Mu0FBTU5qPPazYKgsLeYL49q6YCwRtv\n3bpc+vtb/P4WG5s44m11HqvVwrFjfyE6OpLNm++gqGgjNTWV9PR0iM+UoCANq1eXUll5AovFJJ4n\nKCiYdet2UFNzkfb2RlwuJ6dPHyI8PIysrNUoFApKS3eiUIRw7NibmM1DYlbR7XZz48alCUv8goO1\nrF27fUTNr5tTpw77fbaA1ta6cRLvvujoaCIsLMpPpt3j8TA42E90tI6oqCi/33qhPE99EcjrrL+/\nn+eff97PGHyq2L9/P4WFhRQVFbFlyxYqKyvncrjLuAX+aoiVRqMRo3KBMlZzTajG9kEIJWy+0bDF\nICy+hMrlcoljGhtdExaX+TLtnSqmIvMeKMJqsVim1UcXEWHA7fYn3np9NF1d/sQqJibej2zFxSUy\nNGQkK6sAjUZNV1crtbWXsVi8GcCiolIaG68zPGz1G29oaDjbtt2F1TrMK6/8mOFhO9nZ+QHH1tBQ\nQ1xcWsCNQ09PJ1FR4/uuens7UauDUKvHN7sODPSI5YZCSY/dPoTBYBAJlS98Zc+dTueiEaypmBEL\nPiTCxmg2kee5GK9AAN1uN1qtdlwPiO/cnSnBCgoKmpBgBfrOyyRrGQIUCgUPP/wwBw8epLW1ld27\nd3PgwAG/eeNrOC9UBywFaXUY7WWa6z4vQUHQN2hnsVgmXQN9BSuWwj0mXJvU1FRiY5X093f7/X31\n6mIaG2s5ePDPxMTEsGrVBmQyGQZDJDk5BVy4UI7ZbMLp9D47Y2MTiI/PoKLisN/aGhamp6hoCxUV\nH3D48BsoFB4KCzeJf5dKJaxZs5mQkBjOnj3I0NAA4M1WKZVSYmMnztK2t7cQFRXNHXd8Eq1Wy5Ej\nb3Lt2iW/z29vbyYhYWKZ9o6OZqKj/XuQXS4nQ0P9pKfH+/3WvvuHhdrvCIE333nj8Xj4zne+w9e/\n/nU/dcCp4te//jUXLlygoqKCxx57jM997nNzPexlTIK/KmIVKGM134RqLHw3fVardcEIiy+hEqL8\ngQiVL+aCsMxmvEKUHxA3pZNFJWfjgRUaGopCYcflGiW7MTFx9PS0+x0XFRU74o/lJenehSiOtrY6\nVqzYQESEgZ6ebrq6GlEoFISGhhMbm87Vq2fGfaZKpSI9PZv+/kHsdpvoU+W7F3Y6nXR0NJGSMt67\nwmazYDYbiYoan5Xq6WlDrx//OsDAQD+hoXqGh23YbNaR3kEwGAyTzl3f4IBAsBYqIzTWl0y41yaC\nsFgK95rQnL5QBGssAQwODr7l3J0pwVIqlRMSLOG7LqsCLmMy6HQ6vv3tb/PKK6/wxhtvcM8991BV\nVTWOYEmlUmQyGS6Xa9ECFgKEXqbpCFZMF773pVQqDVgWKcBb5iZfEqTT99pIpVIKCnIZHu7E6Rwt\nd1OpgnA63fT2NpGXt8bv/VlZK1GpgmlsvIbD4RU0cTqdrFhRgMsloaamwu94vT4Sux1u3jxPfv66\ncc86h8POqlVryMgo5Pjxd+jsbOb69Sqyssar3PqisfEGiYkZyOVy8vPXUlZ2Oz09rRw69CadnW30\n9nYC0gnLAJ1OJ93d7cTHj2a0PB73iCCTnejo0SqQsfuHyX7ruUQgH7iqqipaWlrYv3//jM7pq4w5\nMDCwJMpS/5rwV0WsfDNWAmGaLaHy3eRNR41obIRkvm7gQIRqusIU82EqOdl4BV8VoURxuoaugliI\nVqsVfYRuNV6pVEpcnB6TySi+FhERNdJfNNp/IJPJCA+PpqOjSRxvZGQsjY03kEqlbNiwk6ioBN5/\n/1U6O9sAyM0tpL29lcHBXr/PbG29yeXLp7jvvs8TF5fK2bOHGBoaxGq1iASrpaUWnc4QsIeqo6OJ\n8PCogKp//f09GAzjidXQ0AAOh3NkLksJCgrG7XYSGho85Q2BEBzwzb7OF8ESIuQzNSMeS7CEco/5\n2hAK5slTJYCBxjuXBGux+waW8eFCXFwcP/vZz3jmmWf493//d77whS/Q0uItIzt//jw/+MEPxEzx\nQpvtjsVC9jL5rinAuDVlrvq85gpje+B0Oh2rVyfS2ztaElhdXYnBEEpych43blzye79UKqGgYMNI\ntYVFFM8ZHrZTVLSRxsbrYjWHxWKivPxtEhNj2bRpH6dPH8Jut4nncrvdOJ3eNScjI5dVq8p4773X\nsNmMkwpSWCwm+vvbSUwcDSrqdGGUld1OVtYKLl48xoEDf54wgAhe0QqtNpygoFHRMq8SogOdThFQ\nmv9Wv/VcQhCs8JVRd7vd/Mu//As/+MEPZlXe+tBDD5GcnMxTTz3Fr371q7kY7jKmiL8qYmU2m8UM\nFTAnhGo2ylwT1bDPxQ08tg8lUNnUTMYrPHDmuudmop6v2YxXULSban9bXFwENtsosZLJ5ISHR4kk\nSkBUVBwdHd7+CavVSlRUHDabFY/HhUQiZffuu9HrIzl9+h3Onv0Au91OWlo+V654xSosFhMXLhzh\n0qXTrF27g4iIaAoLS0lIyObs2cNYrd4yTavVys2bV0hKCuy03tnZQlTU+IXJ7XbT399HVFSM+Jow\nH1paGggLixB7krxCJSZiYsKnfX0FguXb0zRXhEUoARVkxgWiMZt7TQhm+Cp2zuV4hZJZQVltts+G\nuSJYwJLoNVvGzHHjxg1KS0vJyclh48aN3Lx5c94+SyKRkJ+fz5/+9Cc+97nP8fnPf56nnnqKL33p\nSyQmJopqlYFK5RaimgEWr5dJKIsc23e6lPy8nE5nwB649PQ0tFo7JpORrq4OmpuvU1y8haKiddy8\neQWTadDveJ1OR2bmSi5ePCp+b4VCjkwmJyuriPPnD9PS0sDRo28RGxvLmjXbycsrRK+P4fTpAzid\nTjweb0bG91loMEQTHKzB7XZx9WrVhN/j5s3rxMYmBizzTErKYOvWuzCZjLS03ODq1Sq/ahMBbW0N\nxMYmif8XnpVWq5n09NhJn8++JbDz1WMcSLDipZdeYv369WRnZ8/q3M899xyNjY1873vf4/HHH5/t\nUJcxDSz+U2CBoFarOXbsGPv27RNL7xaLUI1FoBt4phshYQM9tg9lLuWyfQnLbEvCAgkRzJZQjUWg\n/rZAG2q9Xo/H418uGhUV59dn5c1QxdDe3iSaEYeEhBAREUtrax0ASqWKtLQ8kpOzUKvlHD/+Bs3N\n17l8uZI///nnHD78Km63hC1b7iAiYjTalptbQHZ2EadPH2JwsBujsRubbRiDIWpkkRodr9PppKen\ni/j48f5V/f3dYn+VN5Bgx2q14PG4MZuNREfHI5GM3voOh4XIyOkTKxjf0zRbwhKoBHQuexbGbghn\nG3H3Ha9AAOfCB8d3vLMhWBqNBqlUupzB+pDj7//+73nkkUe4du0aX/ziF/m7v/u7ef9MiUTC9u3b\nOXLkCJ2dnQwODmIymRgeHvY7xrdUbjrl1zNFIBPVhYavgqDgozgVteH5xmTXxuttlcfgYBOVladY\nsaIYjSYEnS6clJRsqqpOjDtfenouEomSmpqKkWe9gqCgYBITU7HbJfzxjz8jP7+Y3NwS8T2rV69H\noQjm3LlDOBx2PB6Qy0erIa5cOUdaWjo7d36M9vabnD1bPo4UuVxOWltvkJ6+YsLv2tfXTVpaJtu3\n76O/v52DB9+gtXVUtdDpdNLV1U5CQrJ4bbzGxEo8niG/MsDJMHa/M1cVGoEEKwYGBnjuuedmJFgx\nET71qU9x+PBh+vv75+ycy5gc/9cTK5vNxg9/+EO++93vUllZyVNPPSWmXQXfmMUiVGMh3MBjCcBU\nMJZQCURtPv2HZiPI4Tteh8MxJxm1W+FWak8ajQatVo7NNio0ERMTT09PJy6XSzTPVKnU6HQGBga6\nxI1tbGyyn1pgcnImHR1NrFixlt27P05R0QaKi8twu93s2LGf4uJSv/IEASkpWRQWbqWi4gTnzn1A\nZmY+KpVK9O0SggLd3a2EhIQFPEdXVwvh4VE4nQ6sVotIAFUqNYODvQHq0a3odLoZX1eYPWEZK/Qw\nkxLQ6Y7XV1FSEEiZ6XjnmgBONF5fgjUVmXbhvUIGSzh+GR8edHd3c+HCBT7xiU8AcP/991NRUUFv\nb+8t3jk3aGpq4t133+Wdd95BKpWya9cuXn31VT/yFKh8ar4Ebmw2m+hht9gQ7juhj3OxVXQD9ev4\nIiIiAoNBgkaj9quEyM7Ox2Kx0dh43e94qVRCcXEp9fU1DAz0AOB2u7h48STBwTLS01fQ0dHqRzSk\nUiklJZsZHnZy7txhVColwiOns7ON7u4m8vPXodHoKCv7KE6njWPHDvitu42NdYSEhBAaqp/wuzY3\n1xMfn4pOF0Zp6R5Wriymuvocx44dYGCgVywDDA72rpHCs88bwJUQGho6rWsr7HfmQjF5IsGK7373\nu/zTP/2Tn5fVdGE2m8XyXYA33ngDg8FAePjMgqfLmD6WFLH62te+RlqaV/2suro64DFut5svfelL\nZGRkkJWVxS9+8YsJz1dVVUV6ejoHDhzg8ccf584772TNmjXiRF4qhGosAhGAiQQuAhGquc5QTWe8\ntxLkGKvsttDjHUsAxo43OTlKVC0C0Gi0KBRK2toacTgcov9QbGyiX4lgXFwSRuOA2I8VERGDQhFE\nZ2cjUqkUgyGG4uKNGAzxNDXVTDrG2NgE8vPXcuPGNaxWi08Zhtdc1maz0dJST2TkeDVAj8dDZ2c7\nISHhOBxOVCo1anUQUqkMm82CzWYlPNwgHu9w2FEqPdM2zp4IYwmLLwEIhEBKf3OdsZzP8QqBhYUq\nAfIlWAqFYkoESyKRiO/zreVfxocDzc3NxMfHi+uPtx80jubm5nn/bI/Hw8MPP8xjjz1GXl4ejz32\nGO+99x6VlZXs3buXY8eOBVQQnItqhkBwuVyiwexSgNDLJJT0T1VBcD4g9Hnd6h7fvLmUnJwEPyIj\nk8kpKFhHdfV5v55iAK02hOzsAioqjmKxDFFe/g5Op4UtW+5i27Y76e5uoaOj0ac32INMJqeoqIyh\noSGuXTsPePdblZUnWbGiBKXS+/splUrWrduFXq/ngw/epq+vZ8Q0uJq0tNwJv4PdPkx3dwtJSeni\na7GxyezYcTeRkVGcOPE+5eUHRCsSrzGx1z9waKiftLTJywAng69i8kwFyAIR4MuXL9PQ0MA999wz\no3EJMJvN3HfffaxevZrCwkKeffZZ3njjjVmdcxnTw5IiVvv376e8vJyUlJQJj/ntb39LXV0dtbW1\nnDhxgn/913+lqakp4LFZWVm88cYbvP766+Tn54umvQ6HA4lEgsvlQi6XLxlC5YuJJECFKOHYDd5M\nRDQWa7wzbeyf6/EKG2rf8UZEhONymfB4PCOKQp2AktraK9jtNvHaxsQk+MmuKxQK9Po4sRwQICkp\nm/p6fxK1cmUJtbVXxi1eY9HaepPt2z9Cf38HZ86U43Q6kcvlYolHW1sTERExuN2jD3SXy4XRaKSv\nr5v4+ETUarUfQent7SQ01OBHArz9Vfo5nzNjFSUDSfZPV+lvPjEZYREQSJhisdSWpkKwXC4Xw8PD\n4rNuscuUlvHhQ1dXF2q12q9HQ6/X88wzz/DCCy/w61//mk9+8pNcu3bN733zYS/iK2e+FHuZpqMg\nONcQMiBT6fNSq9WUlOTQ19fo90yIiIgmJiaRS5dOj3tPeno2breU3//+OQyGCNat2zni0amloKCM\n6uozuN0OsTfYbrcjk8koK9tDa2sTtbWXqKo6TXi4jsTEdL9zS6VSVq7cQE5OAadOHeDChVNIJO5J\nZdibmuoxGCJRq/2lyKVSKdnZq9m06Q4GBnqprb3MtWuXsFisyGTykeeikZiYqZUBToSJ9g9T+a0n\nEqz4xje+wX/+53/Oem5HRUVx8uRJKisruXDhAgcOHKCgYHL1xWXMLRY/l+6D0tJSILD3ioDf/e53\nPPTQQ4A3rb1v3z7+8Ic/8Nhjj407Vq1Wi2aMSqWSjo4OMUOl0WjEdK5CoRAju2q1etHISSAIAhdC\nedXQ0BByuVy8gZfyeAWJa5lM9qEZr0KhwGzu5vTpNrq6WpDLpbhcjGSsrDgcLgyGOJKT0/F4pAwM\n9Ihmu3FxSTQ2XiM93etHlZyczvXr5zGZBtFqvWUHYWF6YmPTuHLlDMXFWwOOqbe3g4GBfoqLNyOR\nSKio+IDy8r+wfv1WgoM19PV1ERISTlhYODabDalUisfjjcoZjd1ic/BY9PS0ExbmXwZos5mIiYkZ\nd+xcwff6CvebTCYTy3DVavWiBS8CQVgwFQoFdrsdi8UiNusLzfKzEdGYa/iOV1A5HTtehUKB2+3G\n7XZTX19Pfn5gv7RlLE0kJibS2toq9s653W7a2tpITJxYUW2uEB0dzWuvvRbwb6mpqbz44oucP3+e\nJ554goSEBJ544gm/54kQ3RfKqL3WDuoZBSQEX6alIGc+WS+TsI/wXQOVSuWc9l6OhdCvM1U/r7i4\nOBIS2ujp6UavHyUZ+fnFHDr0Bu3tzX6KfUbjAFarEZnMQ0xMst/mPzY2gf7+XM6dO0xZ2UcARgI6\noFYHUVq6izfe+C3g5J57HppwTMnJWWi1ofzv//6EnJx83G73hCSjubmWrKy8Cc/V19dJfv4aVq4s\n5vLl09y4cZn8/DXExMSj0UgICwub0nW6FQLtd4QM5kRjDyRY8fLLL7N27VpycnLmZFzLWFwsfthn\nmmhqaiI5eTSSkZSUNKWSiJCQEI4fP873v/99sfb7yJEjSCQSv4fSUtr0j4Vc7o24OJ3OJT9eQdTA\nd7wKhWJJj1d4IEokw7hcw5SW7uT22+/njjs+RkJCCmVle9m27aPo9XquXj1LT08XVVWj0b34+GSM\nxgHRHV6hUBAbm0Z9/VW/z8rNLaK7u4O+vq5x43C73Vy6dJLMzHzxeq1du4PY2DiOHn2Hrq4O2trq\niItLRi6Xi54ybrcLmUxGT08nBkNgotTX101UVOyYV63TrjWfCYTrK5fLcTqduFze8S7l+SAQFqG/\nTiqVLunxKhQKlEqlOF6z2cy5c+eQSqW0tLTw+c9/nm9/+9vLAhYfMkRGRlJQUMBLL70EeFXDioqK\nMBgMt3jn/EMikbBmzRreeecd7r77bj796U/zve99TxSfEY6ZrJphKlgIz6rp4Fa9TBBYQXA+1DmF\nbNV0ro1EIqGgIBenswuHwy6+rlAoWbVqLVVVJ0QiazQaOXHifVasWM2WLR+houKo+DcBOTmrUCo1\nVFUdBzwj10Y5ovRrRKmUo1YH0dk5+V7Nbh8mIyMHpVLB8eMHsFrHe4/29nbjcFgnzWi1ttaTkJCK\nThdOYeEWiorKqK+/Rnn5eyQkTO7XOBNMVaI9kGDF4OAgP/3pT3nyySfndEzLWDx86IjVTLFx40aq\nqqrIycmhtLSUoqIivve97zE8PIxOp0Oj0SyJ5tOxEErSfEuQhPEKpXWLadIYCELJlOA9pNPp0Gq1\nU5I8XwwIXkmCVPa2bRtIT88iJCQUq9W7AdDrvd5VwcFasrJWsX373eTnr6Gm5iLl5e9hNHpN+CIj\n42lpGZVCTk/PoaWlzm9OqdVqMjOLuHT965HPAAAgAElEQVTp1LjNRW1tFRKJnNTULL/Xc3OLWbmy\nhDNnDnL1aiXR0fFYrVYkEinBwZoRd3YJ7e1N6PUR466v3W7DYjFjMET4fW+p1BHQy2Mu4aucJ5FI\nCAkJQafTIZPJFkRFbLrwlf73eDzieL3ZTPOi9E9MBl8hDZfLhVarRafT0dLSwuc+9zk2btzIxz/+\ncR5++GF+//vfTzmqvYylg5/85Cf88Ic/JCcnhx/96Ef8z//8z2IPyQ8SiYQ77riDo0ePkpqayt69\ne3n++ef9SPxM/RCF7NBCeVbdClPtZRLgqyA417YUMHMxD61WS0FBCj09/mQnNjYRvT6aK1fOYLPZ\nOHXqABkZOaSlrSApKY3w8CguXfJXEJRKpaxZs4nu7i5qaqrETDl4uHjxGPn5a9iwYQ+XLp2htbV+\nwjHV1FSSm1tAWdlewsLC+eADbzDRFw0NN4iPT5kwI2SxmBgY6CM+PlkMiMXFJbF9+10kJ8fOugxw\nMkwkxy+YtY8VrAD4t3/7N772ta/NSrBiGUsLHzpilZSURGPjqKRmU1PTlEoiXC4Xr7zyCs888wx6\nvZ5t27ahUqm4etWbTRC8ZxbDk2MiCIRKWFR8vXHGClwshc2eQKgEguLrPTRVyfOFRCCvJJVKRURE\nBGAeEX5Q43K5CA2NoK2twW+8K1euIT4+hZAQDceOvU119UViY5NpaxtdOHS6cEJC9LS01Pp9dmpq\nFh6PjIaG0d6EgYEeamuvUFi4PuCiEReXQnJyDgMD/Vy9WolCMSq4IpFIcTi8Msjh4YaRRuJRAtvd\n3U5oqMHPTNhiMREZGTpvm5Wx3mRarVZU+gsU4VtsguXbB+hwOPyEKXw3hTKZbMkQLOEZMTw87Kes\n6Xa7qa6uJi4ujjVr1jA4OMj3vvc9Tp48uajjXcbMkJ2dzalTp7h27RonT54kMzNzsYcUEHK5nAcf\nfJAjR44wMDDA7t27efvttydUEJyKP5BQ8bDQnlWBIJC8mXhW3UqVdiaYrZhHWloqBoOHwcE+v9dX\nrlxDR0czhw69TkxMLBkZK8W/FRSso6enaxxBUipVrF69gbq6y/T3d+FwODh16iCJiSlkZa1Gr49k\n5cpSzp8/5rdGCmhubsDtHiYxMWOk72o9K1eu5fz5D7h6tWqkN2mYzs4GUlMnLplrbr5JREQCcrls\nRJzJu0ZarWaSkiKIjp7YUHiu4EumhTVFKIUdK1hx8+ZN7r333nkf0zIWDh86YnXffffx3HPP4fF4\n6O7u5vXXX5/SpDSbzfzyl7/kBz/4AWfOnOG5557j97//PS+99BKf+tSnuHHjRkBPjvly3J4MgleC\nL6EK1NcxFyUWc4GxGZ/JvHymo3g4XxAI1UReSRqNhpAQBTabBalUhlodRHJyGj09naLflsfjLXeI\njEwgODiEzZv3MjDQRk3NBfr6evyUBZOTc/wIFHhlbFeuXEdNzUVsNgt2u43Tpw+Qm1uITucviyps\n+K1WCz09bezefR9SqZvy8ncxGke9KTo6moiIiCcoKFgkhALB6u5uH+dQb7UOER8fwVxjMoIyFr4e\nbjC/LveTIZCQRiDCOTbqvlj3nGBILGSFhWeAx+Ph6NGj7Nmzh46ODg4ePMhzzz3H9evXuffee/nJ\nT36yoONcxl8nNBoNTz75JK+//jqHDx/mrrvu4ty5c+MUBMf6A40Nti0FzypfCBm4mWZ9JzJWnska\nOBdiHt5M0wosljY/Lym1OgiFQkNT03Vycor93qNUqigo2EBV1Umx7B28+wCdLozVqzdy9uwhjh9/\nD51OQ37+OnFvlZCQRHHxVs6cOUpz803xt3a5nNTUVJCbW+z3XeLjU9m8+U66upo4fvwAV69ewmCI\nIjh44uxOa2s9iYlp2O125HKFeD6jsZfMzPG+j/MJXwVBoQzQZrMBcytYsYylhSX1a37lK18RG3Vv\nu+02Vq70Rkn27t1LRUUFAA888ACpqalkZmZSWlrK008/7ddzNRF0Oh3vvvsue/bsER/QCQkJ/OpX\nv+KJJ57gq1/9Kl//+tfp7+8PGFFbiPI1YXPnu1maSqP8TEssZgthczc24zOV8QqLi2951XxvTgOZ\nz07klZSSEoXJ5C+7HhZmYHDw/2fvzMOjKs/+/5klk8xk3/d9TyDsS9gEF0AFAW1F+6qvvv6sVuv2\ntriDwutGW6rY2oq2vVq1Wmu1WEBEVsMOgQCBBEISspEVss6WWX9/hDPMJJN9Jhl0PtfFH8ycOeeZ\nk2ee59zb926y6SkVEdElu+7j48+MGbeQkpJJW1sru3dvQqfriiBFR8fR2amnqanO5hrBwaFERCRx\n4sQ+9u//mrCwWJsUwK400Ku9qEwmA2q1ioSEVKZPv5G4uET27dtGRcV5ABobLxIe3iXBLhiEgoHV\n0HCRgIBgmzlhMqkJDHRMEa/AQA2U7thrkj2Sc9j6NzcQMQ1hjbD+zY30HBZ+c8Iacf78ef7rv/6L\nv//973z22WesXr3aYrDKZDIeeughPvroI6eOz40ba8LDw3n33Xf5wx/+wDvvvMMDDzzAhQu20Qrr\n/kDdIzmu1LNKeCh2hJHnCAVBR4l5BAQEMHZstE1KYHV1BUajmrFjp1JcfLTHZ8LDo4iJSeX48e8w\nmUw2zXdjYhJob9dy/nwBOTmzbD4nEomJjo4jN/cmjh/fT3l5MQaDntLSYry8ZHbrpry9/Zg9ezGB\ngYHs2vUfvL1778d0+XIDBoORkJAwjEaj5d50peK1ERHh/GhVd4TeWZ6ennh6evLaa6+xZMkS/vjH\nPzJp0iQyM3uXlXdzbSLq58HFdQphnIzJZOKLL77g17/+NXfddRcPPvig5UdpMBgsD3lyudzhi7zB\nYLB0b3eESpqwAQg/ZkermAmFxHq93tL/azgeF2FR1ul0/SrqDPX8Op2Ozs5OpFIpnp6e/T7sX758\nmZ07i4mIuGroFBefRK3uYOLEORiNBnQ6HSaTmT17NnLjjT+ySL9evFjJ7t0bCQmJIClpLMnJGZSW\nFtPaWse0afNtrlNfX8U//vEeEydOZ86cmy3jFfL4hQ1YIpFw+vQROjt1TJo0w/L55uYmjh3Lw9c3\niMbGGhYu/BEymW3KjFarZvv2fzNv3mLEYollPjQ3F7N06fUOSQU0Go0WY9MRc1iQCnfWHBYMFGEO\nD1exS5DQdeYc1uv1lgdNay91S0sLb775JkVFRbzxxhtMmTLFJbz7w2Cwg//B7FPXMmazmf3797Ny\n5UrGjh3LihUreghwWM9zsVhsSSF2BY++Wq1GJBI5pRdc9z21v/XIZDKhVCod1vLBYDCwffsBzOZI\nJBIJ3323hYkTZ+LrG8h3321h0qTrCA21FT4ymUzk5X1DZGQ0SUljMRqNyGQyjh3bh0bThkQiRyYT\nMWXKjXav2dhYz5EjO0hKyqSk5BSzZy8kKCi01+9dVVXOqVP7kck8CQ4OZ+zYyT32umPH8vD09CUp\nKd0i7gXQ0dGKn187s2dPGfa9GizCfPbx8UEkEqHVann33XdZu3YtS5Ys4Y033iAuLm7Ex+Vm2PT6\nAx391cpFEIvF/PjHP2bv3q6eQfPnz2fr1q2YTCab9DV7/XiGirXIQ/eapOF+FyHFwpECF72l0A13\n0xuoos5gsS7q7+q27j3g5rOBgYHIZJ0YDFeLr6Oj42hqqsVsNiOVeiCXK/D0lOHjE8yFC2cxm01X\njosnLCyG1NSxXLpUzbZtn9HW1kxlZRm1tZW0tV2murqUw4e/5cSJ/eTmzqezU2VRy9Nqteh0Xbnh\ngjSxwWCgpqash6hFUFAo1123GKWyhZqaKlpbbXPlARoaaggODsfb28cie97ScomgIJ9hb8rWdWqO\nnMNCjrp1o9G+6jAGSndhiu5poENFkJF2Rs2YkCZl3UBZLBaj1+t57733WLZsGXPmzGH79u1MnTr1\nWjeq3HxPEYlEzJo1i507dzJ79mzuuOMO3n77bTQajc0xQuTYOhLiCvXO1j2rHM1gFQS1Wq1DxTyk\nUilTpmTR1lbFyZNHiYyMISysK608K2syJ07s71EPJhaLmThxJmVlRTQ01CCTyTh58ghqdQvTpy9g\n6tTr6OhQUlx8zO41w8IimD79JvLyvkUulyOX+1icc/YoLy9i3LgZzJ27FLPZxO7dW6iru9pLUqfT\nUV9/kZiYBIuCq4BKdZmUlJFNA4SrDjzrPcbLy4umpibeeecdkpOTmTBhAr/85S9pbW3t52xurhXc\nhlU3PD09eeaZZ9i0aRM7duzgRz/6EadPnwa6Qu5Cw9PhNP+zJ/LgjB4XQorFcOuZBpNCNxysN5fh\nKAh2b55sXdQ/mLHExoba1Er5+QUilcpoaWkChJRGGUlJaTQ0VKHRaK48/JuIikqkvb2ZGTMWMmfO\nrfj6KjAYjOzc+S8OH95FVVUZQUGRXH/9UqZNm4NCEcipUwfp7NTi4SG1REaFOVFVVYKPTyBBQT1r\nomQyGf7+gUyYMJ3jx/dy8uRRGwndpqY6QkMjLaIncrmczk4NQUE+Q27caW9OOHMOWxtYw50T1ka2\ns+awIwwsa8eLdQNlk8nE1q1bmT9/PgaDgb179/LjH//YJbz6btz0h+DE3LdvH76+vixcuJBPP/3U\nZm8qLS1FIpGMeu0ljGyd10AUBPV6vSWS70hCQkKIj/ehvb2JzMzJltfj4hLx9Q2isPBQj8/4+fmT\nkjKOU6cOcupUPs3NF8nNXWBpVTF9+g1UVpZSXV3W47PQ1dMpKioSg8FIbW0ZHh5SOju1dHZqbdbM\nuroaDAYt0dGJyGQyJk+eR07ONAoLD3Ls2H50uk6qq0vx9w+9EvG7WgNnMOiRSjWEhobaG4JTsSfL\nX1RURElJCffffz9r1qzh9OnTlowaN98PJK+88kpf7/f55vcZb29vFi1axPjx41m5ciV79+5l0qRJ\nliJxob+NUIgokUj6XXSF44VcZIVC4fS+OIIi31VlHI2lh1B/1xW8hV2y3iIUCsWINEcVi8UWb5yQ\nIigWiy3qbH2NV2hEKXgXh9qMsmscZsrL6/HxCbK8plQqUSqbCQ+/qkSpUPhw7twJEhMzEIkk6HQ6\nvLwUnDtXQHLyGDw95YSGRhEfn86lS7Vcf/0yEhPTCA4OQywWo9N14uMTSHHxcSIjY/Dx8evxPQsK\n9pGWloOvb8+eUwaDgcLCI0yffj2JienU1JRy7txpfHz88fHx5dSpI2RmjsPTsyuFRSQSoVY3MGFC\nKnK53HK/JBJJvw/nQhRQSIsZzTkhEon6nROA3TnhbCNEqCO0XidMJtOAfndCKq/glbaOsp45c4af\n/exnNDc388EHHzB//nyXqD9xMKsHefwrzhiEG+cikUiYNm0ay5cvZ9OmTbz++uvExsZiNBqZN28e\n9913H/7+/pbfkZBSNdDfvaMQHnid2eC3O8LDuFgstqQsC99ZrVYjl8udouYaEtKlKCsS+dqk2YWE\nhHP6dD5+fv6WZvfAFSeVL+XlpRQXH+HWW++xpMRDV1+swMBQjh/fS0BACN7eV1t7aLUajhzZyZQp\n15GcPJZTp45iNHYSGRmHyWRGp+vEZDIjkYgpKDhIYmIagYFXjSNf3wBiY1NoaqqjsPAo1dUXSE8f\nR0BAkM2a2NzcSEpKAJGRI1tfJWRzeHt7W+aNyWTi//2//8dbb71lUSf09fXl5ptvdsutX3v0uk+5\nXZz9MGbMGDZt2sQdd9zBT37yE9atW2fJ/xaiK70pGglYq+YNRuTBkQxG8bC7TLazvPv9MRh5WmvR\nBE9PzwGLEPRFUFAQYrFttCEqKpaGhhqb4zw8ZAQFRVJbW4GnpydeXnJ8fHyRSORUVZVa7rGfnz9B\nQZFcuHAas9lkZbSKCQkJJStrCidP9uxtdfHiBUwmCA+PtjvOpqaLKBR+KBTeeHkpmD79RjIzx1NQ\nsI+8vG2YTNgoDRqNBjw8DAQEBFjmRH+qkiMV8ekPYU7I5fJ+Zft7E6YYSXpTPeztHnd2dtqNAjY0\nNPDEE0+wevVqfv3rX/Pee+8RFua8fixufpisWLGCpKQkxGIxRUVFI3JNf39/Xn/9dT799FP++c9/\nctddd/HAAw8QGXm1pkdIbx/pdh3WPatGOsXWnoKg0AvQWeuYXC5nxoxxtLVV26xRXl5ycnKmceLE\nAXS6Lmey4GS7dKkBkchAbGwKtbXlPc4ZHBzGuHEzyc/fbaNie/z4QaKiYggPj8XPz5/ZsxdSW3uR\ngoJ9lswKgIqKMlSqFmJje7YYkMm8mDhxNsnJY6iurqCsrLhHU2G9voW4uCiH3J/BIKg6W++Rn3/+\nOePHjyc7O3vEx+Nm5HAbVgPAuvlhUFAQCxcu5IsvvrB4oHtLt7OnmueIeo7hfpfeeohYG1SDrUly\n5nj7kqft3ozYEQaVgEwmIyLCH6WyzfJaUFAoBoOJ1tZLNsdGRcVTW1sBdD0EeHp6kZTUJbPeFS3p\neghITs6mrOwsKlXX4i+Xyy0Rn+TkDGQyb4qK8i3nNZlMnDt3gvT0cb0aMbW1FURE2Ba/xsYmcf31\ny2hra6Kmporz54ssG6VS2U5UVLDlfPZUJa3T14aq9Ocs7PVxU6lUlgct61rA7sp5o0V31UNrx4Y9\no1VItdVqtaxbt46f/OQn3HHHHWzevNmilurGjaNZtmwZe/fuJSEhYcSvHRsby4IFC9Dr9Zw7d45H\nH32U2tpam2Oc0QuqN4R0Z0cL0QwWwSmqUCgwmUxX2mg4r+dfWFgY6ekhXLp00eb16Og4QkIiLSmB\ner2e9vZWTp8+zNSp85g1az4lJae5fLm+xzmjo+NITR3PwYPbUKuVlJYWo9E0k5093XKMQuHL7Nm3\noFJpOXz4W/T6rnTHiopzJCdn09mptenNaM3ly5eYO3cRUVFx7N//LQUFh9HpOlGp2gkOlhEQ4Fj1\n2/4QpNWt0zXb29v5wx/+wKpVq0Z0LG5GHrdhNQg8PDx47LHH2LZtGydOnGDx4sUcPXoUs9lsIx+u\nVCppb2+3ebAbbYOqO90FLjo6Oujo6ECv1w+pJsnZ2Iu4dXR0OFw0oTvx8eFoNFfrrMRiMeHhsT2a\nI0ZHx9He3mrT1yMuLgmVqh2z2YhO1yWb3iUg4U1TU82VaITtT3DixBlUVV3g8uUGAKqrSxGLpcTG\nJtgdn8FgoKGhlpiYnjK1XbVXQcyePZ+6ugp27dpCXV01Wm07UVE9a7W6i4gIc2I0Iz59YW10e3p6\notFoLGOGnv3JXAHhdycYWO3t7RZpeWujVVApXbBgAYGBgeTl5XHLLbe41Hdx8/1jxowZREdHj0ot\nU0tLC7/4xS/429/+xqZNm7jnnnu4//77eeWVV2hvb7cc15uzzdGGhvBwPNSeVY7EWgTB17crnc6Z\ndWfZ2enI5Uqb/QwgJ2cqly9forLyPGq1ipMnD5KVNZ7Q0Ej8/AIZM2Yq+fl70GrVPc6ZkpJJdHQq\nu3dvpLj4CJMnX98jjVkm82TGjBuRSn3Zt28zJSWnMZt1pKSMwdPTC4PBaEnrFr63UtnBpUs1JCVl\nk5U1iblzl2A06tm16z+Ulp4iI6P/djyOxJ5gBcCbb77J008/jZ+f34iOx83I4zashkBgYCDr1q3j\n/fff53e/+x0PPfQQNTU11NTU8Lvf/Q7oWvxHY3MaDIKst9lsvmYe2AQPv0gkstxjZ97n0NBQzGal\nzTWio+NoaKi2OU4ikRIaGk1NzdUiXZnMk5CQGCorz115peseJyVlUlZ2xu71FApfsrOncvz4XlSq\nDoqLC8jKmmT3WOiKVvn5BeHj49vjPZ1OS3t7OykpWcyZs4j09LGcOZNPWdmpfj141nNCiAJdCwjz\nwmQyXRNjFsbb1tbG+vXraW9vJz8/n8WLF3PixAm+/fZbfv7zn7uUQevGjTN4/vnnWbp0Kbm5uYhE\nIm666Sa+++47xo4dy+LFi9mwYYOldxPYd7Y5KpIjPBy7UmNis9lsSS0bjILgUJDJZEyZkkVLS6XN\n/fTw8GDChBmcPHmI/Py9hIWFk5BwtQ9TXFwSERHx5Ofvsft3SEvLpr6+AaOxE7ncfk2RRCJlypQ5\nREam8vXXnxEeHodYLEYikeDl5WVRthUUBEtKThMeHmMxOBUKHyZPnsukSdchkahHPGW6N8GKoqIi\n7rrrrhEdi5vRwW1YDYPU1FQ+//xz7rjjDq6//nqmTZtGQ0ODxavk6+s7og2GB0p31TwhSiFEfZzl\nARwO9qTehX/OvMdeXl6EhnqjUnVYXgsJCUen09HebiuPGh2dQF1dpeX/QgPhysoSSyqHXK4gLi4J\nvd5MeXkRJlNPlcb4+BT8/SP45ptPCQ2NIiwsotfxVVeXEhWVYPe9uroqgoLCLAt8bGwSM2feTFLS\n1U3IGmulP5FIZJnD9tJGXQXrNEWFQmEZs4eHh0NbIzgKew1+fX19EYlE5Ofnk5WVxc9//nPWr1/P\nunXrCAzsvRmmGzffJx5//HHeeOMNm9ckEgn33nsve/fuRa/XM3/+fDZu3GizN9lr1zHcdUqr1eLh\n4eESwjC9GXkDURAcDmFhYWRmhnHpkm1NcWBgECKRB2VlpxgzZnqPz40dOwWzWcTp07YqgiaTifz8\nPCZMmERUVDpHjmzvM41TJBKTmppJZeV5zp8vuvLaVWVbDw8pra0tVFaeIzV1bA8D2Gw2Mm/e1BGN\nOAr9DK17nZlMJp5//nl++9vfupVbfyC4/8rDoKWlhV/+8pc89NBD/OhHP2L16tUcOXKEzz77DKPR\n2KPg1pn54ANBUM3rXi8j1CT15gEczQfp/qTenb25ACQlRaJUXu0P1ZUOGEN19Xmb4yIjY1GplLS3\nt1jUH6OjY5FKPWlu7krt69oYPMjMnEh5efGV47SWHlgCERFRVFfXEBDQ+4O1Vqumra2Z2NhEu+83\nNNQQFmYreKFUtpGdnWzzWnexEuEeCxuVvZ5So+0osFdbJzwEWc9ja1GO0TSwrHuqCfdYSBVRKpX8\n+c9/pqWlhXXr1pGWlsbChQtZv369SxmFbtw4k+zsbPz9e6qeQpeD65lnnmHr1q0cPXqUxYsXc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UU0+xatUq1q5dy4YNG1zaqLqW1ks3boZKVlYWX3zxBQ8//DCPPPIIL774Ii0tXWv44cOH+ctf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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xc469e48>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d.axes3d import Axes3D\n",
    "import matplotlib as mpl\n",
    "\n",
    "fig = plt.figure(figsize=(12,6))\n",
    "\n",
    "ax = fig.add_subplot(1,2,1, projection='3d')\n",
    "ax.plot_surface(X, Y, Z, rstride=4, cstride=4, alpha=0.25)\n",
    "ax.view_init(30, 45)\n",
    "\n",
    "ax = fig.add_subplot(1,2,2, projection='3d')\n",
    "ax.plot_surface(X, Y, Z, rstride=4, cstride=4, alpha=0.25)\n",
    "ax.view_init(70, 30)\n",
    "\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 文字的属性、中文字体、LaTeX"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 文字的属性（3种设置方法）"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "控制文字属性的方法:  \n",
    "\n",
    "\n",
    "| Pyplot函数     | API方法                | 描述                     |\n",
    "| :-------------: |:------------------------------:| :---------------------------------:|\n",
    "| text()       |  mpl.axes.Axes.text()       | 在Axes对象的任意位置添加文字     |\n",
    "| xlabel()      |  mpl.axes.Axes.set_xlabel()   | 为X轴添加标签               |\n",
    "| ylabel()      |  mpl.axes.Axes.set_ylabel()   | 为Y轴添加标签               |\n",
    "| title()       | mpl.axes.Axes.set_title()   |  为Axes对象添加标题            |\n",
    "| legend()      | mpl.axes.Axes.legend()      |  为Axes对象添加图例            |\n",
    "| figtext()     |  mpl.figure.Figure.text()    |  在Figure对象的任意位置添加文字    |\n",
    "| suptitle()     | mpl.figure.Figure.suptitle() |  为Figure对象添加中心化的标题     |\n",
    "| annnotate()    |  mpl.axes.Axes.annotate()    |  为Axes对象添加注释（箭头可选）    |  \n",
    "\n",
    "\n",
    "所有的方法会返回一个matplotlib.text.Text对象"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### 向方法传入关键字参数"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "t = plt.xlabel('some text', fontsize=16, color='green')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### matplotlib.artist.setp()方法"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "t = plt.xlabel('some text')\n",
    "plt.setp(t, fontsize=16, color='green')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### 对实例使用一系列的setter方法"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "t = plt.xlabel('some text')\n",
    "t.set_fontsize(16)\n",
    "t.set_color('green')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 获取对象与设置的合用"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "ax.get_xticklabels() # 获取对象\n",
    "\n",
    "for t in ax.get_xticklabels(): # 获取对象与API方法合用\n",
    "    t.set_fontsize(5.)\n",
    "\n",
    "setp(ax.get_xticklabels(), fontsize=5.) # 获取对象与setp()合用"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 中文字体"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "plt.rcParams['font.sans-serif'] = ['SimHei'] # 将默认字体指定为黑体，得以正常显示中文标签"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "plt.rcParams['axes.unicode_minus'] = False # 解决保存图像时，符号'-'显示为方块的问题"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### LaTeX\n",
    "Mathtext：用美元$符号包括LaTeX语句"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 133,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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n24iKiqJVq1aEh4f7dDtSPG+D+nI+8GLJOrMWkVI2YMAAYmNjfdZ/amoqFSpU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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10eec9e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "fig = plt.figure()\n",
    "ax= fig.add_subplot(111)\n",
    "ax.set_xlim([1, 6]);\n",
    "ax.set_ylim([1, 9]);\n",
    "ax.text(2, 8, r\"$ \\mu \\alpha \\tau \\pi \\lambda \\omega \\tau \\ lambda \\iota \\beta $\");\n",
    "ax.text(2, 6, r\"$ \\lim_{x \\rightarrow 0} \\frac{1}{x} $\");\n",
    "ax.text(2, 4, r\"$ a \\ \\leq \\ b \\ \\leq \\ c \\ \\Rightarrow \\ a \\ \\leq \\ c$\");\n",
    "ax.text(2, 2, r\"$ \\sum_{i=1}^{\\infty}\\ x_i^2$\");\n",
    "ax.text(4, 8, r\"$ \\sin(0) = \\cos(\\frac{\\pi}{2})$\");\n",
    "ax.text(4, 6, r\"$ \\sqrt[3]{x} = \\sqrt{y}$\");\n",
    "ax.text(4, 4, r\"$ \\neg (a \\wedge b) \\Leftrightarrow \\neg a \\vee \\neg b$\");\n",
    "ax.text(4, 2, r\"$ \\int_a^b f(x)dx$\");\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 绘制图片\n",
    "imread()和imshow()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### imread()\n",
    "读取图片文件，并将其转化为NumPy array  \n",
    "\n",
    "\n",
    "Matplotlib只能读取PNG文件，但如果加载了Python Imaging Library（PIL），则这个包将被用来读取图片文件并返回数组。  \n",
    "\n",
    "默认从图片的左上角开始读取数据，设置origin='lower'（默认设置为origin='upper'），可以从图片的左下角开始读取数据。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### 安装图像处理工具：Python图像库（PIL）  \n",
    "[Unofficial Windows Binaries for Python Extension Packages](http://www.lfd.uci.edu/~gohlke/pythonlibs/)  \n",
    "[pillow](http://www.lfd.uci.edu/~gohlke/pythonlibs/#pillow)  \n",
    "Pillow is a replacement for PIL, the Python Image Library, which provides image processing functionality and supports many file formats.  \n",
    "Use `from PIL import Image` instead of `import Image`."
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### imshow()\n",
    "读取NumPy array，并将其显示为图片  \n",
    "\n",
    "\n",
    "\n",
    "\n",
    "语法：  \n",
    "import matplotlib.pyplot as plt  \n",
    "f = plt.imread('/path/to/image/file.ext')  \n",
    "plt.imshow(f)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 134,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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+8oC2+XzTgcDFml9KX4AwAgks/TSfUvrqPUW2+8wSXUTnJ+AS8H06QQfA5/zF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y/48gLge51zv5mS9vsR4E9SVsB4e2WDAXgf8OfVcW8A3uqc+zrg16lrq+3Z07RVYsa6L9tdkddx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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xc369198>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "x = np.arange(-2, 2, 0.01)\n",
    "y = np.arange(-2, 2, 0.01)\n",
    "X, Y = np.meshgrid(x, y)\n",
    "ellipses = X*X/9 + Y*Y/4 - 1\n",
    "plt.imshow(ellipses);\n",
    "plt.colorbar();\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 后端设置"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Matplotlib has a number of \"backends\" which are responsible for rendering graphs. The different backends are able to generate graphics with different formats and display/event loops. There is a distinction between noninteractive backends (such as 'agg', 'svg', 'pdf', etc.) that are only used to generate image files (e.g. with the `savefig` function), and interactive backends (such as Qt4Agg, GTK, MaxOSX) that can display a GUI window for interactively exploring figures. \n",
    "\n",
    "A list of available backends are:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 135,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[u'GTK', u'GTKAgg', u'GTKCairo', u'MacOSX', u'Qt4Agg', u'Qt5Agg', u'TkAgg', u'WX', u'WXAgg', u'CocoaAgg', u'GTK3Cairo', u'GTK3Agg', u'WebAgg', u'nbAgg', u'agg', u'cairo', u'emf', u'gdk', u'pdf', u'pgf', u'ps', u'svg', u'template']\n"
     ]
    }
   ],
   "source": [
    "import matplotlib as mpl\n",
    "print(mpl.rcsetup.all_backends)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The default backend, called `agg`, is based on a library for raster graphics which is great for generating raster formats like PNG.\n",
    "\n",
    "Normally we don't need to bother with changing the default backend; but sometimes it can be useful to switch to, for example, PDF or GTKCairo (if you are using Linux) to produce high-quality vector graphics instead of raster based graphics. "
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Generating SVG with the svg backend\n",
    "svg：可缩放矢量图形"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "#\n",
    "# RESTART THE NOTEBOOK: the matplotlib backend can only be selected before pylab is imported!\n",
    "# (e.g. Kernel > Restart)\n",
    "# \n",
    "import matplotlib\n",
    "matplotlib.use('svg')\n",
    "import matplotlib.pylab as plt\n",
    "import numpy\n",
    "from IPython.display import Image, SVG"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "#\n",
    "# Now we are using the svg backend to produce SVG vector graphics\n",
    "#\n",
    "fig, ax = plt.subplots()\n",
    "t = numpy.linspace(0, 10, 100)\n",
    "ax.plot(t, numpy.cos(t)*numpy.sin(t))\n",
    "plt.savefig(\"test.svg\")"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "#\n",
    "# Show the produced SVG file. \n",
    "#\n",
    "SVG(filename=\"test.svg\")"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### The IPython notebook inline backend"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "When we use IPython notebook it is convenient to use a matplotlib backend that outputs the graphics embedded in the notebook file. To activate this backend, somewhere in the beginning on the notebook, we add:\n",
    "\n",
    "    %matplotlib inline\n",
    "\n",
    "It is also possible to activate inline matplotlib plotting with:\n",
    "\n",
    "    %pylab inline\n",
    "\n",
    "The difference is that `%pylab inline` imports a number of packages into the global address space (scipy, numpy), while `%matplotlib inline` only sets up inline plotting. In new notebooks created for IPython 1.0+, I would recommend using `%matplotlib inline`, since it is tidier and you have more control over which packages are imported and how. Commonly, scipy and numpy are imported separately with:\n",
    "\n",
    "    import numpy as np\n",
    "    import scipy as sp\n",
    "    import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The inline backend has a number of configuration options that can be set by using the IPython magic command `%config` to update settings in `InlineBackend`. For example, we can switch to SVG figures or higher resolution figures with either:\n",
    "\n",
    "    %config InlineBackend.figure_format='svg'\n",
    "     \n",
    "or:\n",
    "\n",
    "    %config InlineBackend.figure_format='retina'\n",
    "    \n",
    "For more information, type:\n",
    "\n",
    "    %config InlineBackend"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "%matplotlib inline\n",
    "%config InlineBackend.figure_format='svg'\n",
    "\n",
    "import matplotlib.pylab as plt\n",
    "import numpy"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "#\n",
    "# Now we are using the SVG vector graphics displaced inline in the notebook\n",
    "#\n",
    "fig, ax = plt.subplots()\n",
    "t = numpy.linspace(0, 10, 100)\n",
    "ax.plot(t, numpy.cos(t)*numpy.sin(t))\n",
    "plt.savefig(\"test.svg\")"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Interactive backend (this makes more sense in a python script file)"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "#\n",
    "# RESTART THE NOTEBOOK: the matplotlib backend can only be selected before pylab is imported!\n",
    "# (e.g. Kernel > Restart)\n",
    "# \n",
    "import matplotlib\n",
    "matplotlib.use('Qt4Agg') # or for example MacOSX\n",
    "import matplotlib.pylab as plt\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "# Now, open an interactive plot window with the Qt4Agg backend\n",
    "fig, ax = plt.subplots()\n",
    "t = np.linspace(0, 10, 100)\n",
    "ax.plot(t, np.cos(t) * np.sin(t))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that when we use an interactive backend, we must call `plt.show()` to make the figure appear on the screen."
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Further reading"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* http://www.matplotlib.org - The project web page for matplotlib.\n",
    "* https://github.com/matplotlib/matplotlib - The source code for matplotlib.\n",
    "* http://matplotlib.org/gallery.html - A large gallery showcaseing various types of plots matplotlib can create. Highly recommended! \n",
    "* http://www.loria.fr/~rougier/teaching/matplotlib - A good matplotlib tutorial.\n",
    "* http://scipy-lectures.github.io/matplotlib/matplotlib.html - Another good matplotlib reference."
   ]
  }
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