{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# IPython的魔法符号－Magics\n",
    "#### [openthings@163.com](http://my.oschina.net/u/2306127/blog?catalog=2527511)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 最新的Jupyter Notebook可以混合执行Shell、Python以及Ruby、R等代码！\n",
    "这一功能将解释型语言的特点发挥到了极致，从而打破了传统语言`\"运行时\"`的边界。\n",
    "\n",
    "**IPython是一个非常好用Python控制台，极大地扩展了Python的能力。**  \n",
    "因为它不仅是一种语言的运行环境，而且是一个高效率的分析工具。  \n",
    "* 之前任何语言和IDE都是相互独立的，导致工作时需要在不同的系统间切换和拷贝／粘贴数据。\n",
    "* Magic操作符可以在HTML页面中输入shell脚本以及Ruby等其它语言并混合执行，极大地提升了传统的“控制台”的生产效率。\n",
    "* Magics是一个单行的标签式“命令行”系统，指示后续的代码将如何、以及被何种解释器去处理。\n",
    "* Magisc与传统的shell脚本几乎没有什么区别，但是可以将多种指令混合在一起。\n",
    "\n",
    "Magics 主要有两种语法:\n",
    "\n",
    "* Line magics: 以 `%` 字符开始，该行后面都为指令代码，参数用空格隔开，不需要加引号。\n",
    "* Cell magics: 使用两个百分号 (`%%`)开始, 后面的整个单元（Cell）都是指令代码。  \n",
    "注意，`%%`魔法操作符只在Cell的第一行使用，而且不能嵌套、重复（一个Cell只有一个）。极个别的情况，可以堆叠，但是只用于个别情况。\n",
    "\n",
    "#### 输入 [`%lsmagic`] 可以获得Magic操作符的列表。\n",
    "如下所示（在Jupyter Notebook环境下，按[`shift+enter`]可以运行。）："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%lsmagic"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "** 缺省情况下，`Automagic`开关打开，不需要输入`%`符号，将会自动识别。**  \n",
    "注意，这有可能与其它的操作引起冲突，需要注意避免。如果有混淆情况，加上`%`符号即可。\n",
    "\n",
    "下面显示运行一段代码所消耗的时间。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "hi\n",
      "CPU times: user 0 ns, sys: 0 ns, total: 0 ns\n",
      "Wall time: 47.9 µs\n"
     ]
    }
   ],
   "source": [
    "time print(\"hi\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 0 ns, sys: 0 ns, total: 0 ns\n",
      "Wall time: 4.77 µs\n"
     ]
    }
   ],
   "source": [
    "%time"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 执行Shell脚本。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "总用量 340K\r\n",
      "-rw-rw-r-- 1 supermap supermap 266K  4月 29 09:29 jupyter_magics.ipynb\r\n",
      "-rw-rw-r-- 1 supermap supermap  58K  4月 27 12:38 pandas_quickstart.ipynb\r\n",
      "-rw-rw-r-- 1 supermap supermap  12K  4月 27 12:28 pystart_databasic.ipynb\r\n"
     ]
    }
   ],
   "source": [
    "ls -l -h"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "总用量 340K\r\n",
      "-rw-rw-r-- 1 supermap supermap 266K  4月 29 09:29 jupyter_magics.ipynb\r\n",
      "-rw-rw-r-- 1 supermap supermap  58K  4月 27 12:38 pandas_quickstart.ipynb\r\n",
      "-rw-rw-r-- 1 supermap supermap  12K  4月 27 12:28 pystart_databasic.ipynb\r\n"
     ]
    }
   ],
   "source": [
    "!ls -l -h"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['总用量 348K',\n",
       " '-rw-rw-r-- 1 supermap supermap 276K  4月 29 09:31 jupyter_magics.ipynb',\n",
       " '-rw-rw-r-- 1 supermap supermap  58K  4月 27 12:38 pandas_quickstart.ipynb',\n",
       " '-rw-rw-r-- 1 supermap supermap  12K  4月 27 12:28 pystart_databasic.ipynb']"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "files = !ls -l -h\n",
    "files"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 执行多行shell脚本。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['总用量 344',\n",
       " '-rw-rw-r-- 1 supermap supermap 274868  4月 29 09:33 jupyter_magics.ipynb',\n",
       " '-rw-rw-r-- 1 supermap supermap  59280  4月 27 12:38 pandas_quickstart.ipynb',\n",
       " '-rw-rw-r-- 1 supermap supermap  11528  4月 27 12:28 pystart_databasic.ipynb',\n",
       " '/home/supermap/GISpark/git_notebook/pystart',\n",
       " 'supermap :0           2016-04-28 20:39 (:0)',\n",
       " 'supermap pts/0        2016-04-28 21:50 (:0)',\n",
       " 'supermap pts/6        2016-04-28 22:22 (:0)']"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%%!\n",
    "ls -l\n",
    "pwd\n",
    "who"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 下面开始体验一下魔法操作符的威力。\n",
    "\n",
    "载入matplotlib和numpy，后面的数值计算和绘图将会使用。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## <!--====--> cell magics的简单例子"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### `%timeit`  魔法，计量代码的执行时间, 适用于单行和cell:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The slowest run took 8.96 times longer than the fastest. This could mean that an intermediate result is being cached.\n",
      "100 loops, best of 3: 5.82 ms per loop\n"
     ]
    }
   ],
   "source": [
    "%timeit np.linalg.eigvals(np.random.rand(100,100))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "100 loops, best of 3: 6.07 ms per loop\n"
     ]
    }
   ],
   "source": [
    "%%timeit a = np.random.rand(100, 100)\n",
    "np.linalg.eigvals(a)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "####  `%%capture`  魔法，用于捕获stdout/err, 可以直接显示，也可以存到变量里备用:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%%capture capt\n",
    "from __future__ import print_function\n",
    "import sys\n",
    "print('Hello stdout')\n",
    "print('and stderr', file=sys.stderr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "('Hello stdout\\n', 'and stderr\\n')"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "capt.stdout, capt.stderr"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Hello stdout\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "and stderr\n"
     ]
    }
   ],
   "source": [
    "capt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "####  `%%writefile`  魔法，将后续的语句写入文件中:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Writing foo.py\n"
     ]
    }
   ],
   "source": [
    "%%writefile foo.py\n",
    "print('Hello world')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Hello world\n"
     ]
    }
   ],
   "source": [
    "%run foo"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## <!--====--> Magics 运行其它的解释器。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### IPython 有一个 `%%script` 魔法操作符, 可以在一个子进程中运行其它语言的解释器，包括: bash, ruby, perl, zsh, R, 等等.\n",
    "\n",
    "执行时从stdin取得输入，就像你自己在键入一样。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 直接在`%%script` 行后传入指令即可使用。\n",
    "后续的cell中的内容将按照指示符运行，子进程的信息通过stdout/err捕获和显示。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "hello from Python 3.5.1 |Anaconda 4.0.0 (64-bit)| (default, Dec  7 2015, 11:16:01) \n",
      "[GCC 4.4.7 20120313 (Red Hat 4.4.7-1)]\n"
     ]
    }
   ],
   "source": [
    "%%script python\n",
    "import sys\n",
    "print('hello from Python %s' % sys.version)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "hello from Python: 3.5.1 |Anaconda 4.0.0 (64-bit)| (default, Dec  7 2015, 11:16:01) \n",
      "[GCC 4.4.7 20120313 (Red Hat 4.4.7-1)]\n"
     ]
    }
   ],
   "source": [
    "%%script python3\n",
    "import sys\n",
    "print('hello from Python: %s' % sys.version)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "IPython对通用的解释器创建了别名，可以直接使用, 譬如：bash, ruby, perl, etc.  \n",
    "**等价于这个操作符： `%%script <name>` **"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Hello from Ruby 2.1.5\n"
     ]
    }
   ],
   "source": [
    "%%ruby\n",
    "puts \"Hello from Ruby #{RUBY_VERSION}\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "hello from /bin/bash\n"
     ]
    }
   ],
   "source": [
    "%%bash\n",
    "echo \"hello from $BASH\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 高级练习: 写一个自己的脚本文件。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "写一个脚本文件，名为 `lnum.py`, 然后执行："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Writing ./lnum.py\n"
     ]
    }
   ],
   "source": [
    "%%writefile ./lnum.py\n",
    "print('my first line.')\n",
    "print(\"my second line.\")\n",
    "print(\"Finished.\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "my first line.\n",
      "my second line.\n",
      "Finished.\n"
     ]
    }
   ],
   "source": [
    "%%script python ./lnum.py\n",
    "#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 捕获输出。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "可以直接从子进程中捕获stdout/err到Python变量中, 替代直接进入stdout/err。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "hi, stdout\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "hello, stderr\n"
     ]
    }
   ],
   "source": [
    "%%bash\n",
    "echo \"hi, stdout\"\n",
    "echo \"hello, stderr\" >&2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%%bash --out output --err error\n",
    "echo \"hi, stdout\"\n",
    "echo \"hello, stderr\" >&2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "可以直接访问变量名了。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "hello, stderr\n",
      "\n",
      "hi, stdout\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print(error)\n",
    "print(output)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 后台运行 Scripts"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "只需添加 **`--bg`** ，即可让脚本在后台运行。  \n",
    "在此情况下, 输出将被丢弃，除非使用 `--out/err` 捕获输出。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Starting job # 2 in a separate thread.\n"
     ]
    }
   ],
   "source": [
    "%%ruby --bg --out ruby_lines\n",
    "for n in 1...10\n",
    "    sleep 1\n",
    "    puts \"line #{n}\"\n",
    "    STDOUT.flush\n",
    "end"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 当后台线程保存输出时，有一个stdout/err *pipes*, 而不是输出的文本形式。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<_io.BufferedReader name=52>"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ruby_lines"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "b'line 1\\nline 2\\nline 3\\nline 4\\nline 5\\nline 6\\nline 7\\nline 8\\nline 9\\n'\n"
     ]
    }
   ],
   "source": [
    "print(ruby_lines.read())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Cython Magic 函数扩展"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 载入 extension"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "IPtyhon 包含 `cythonmagic` extension，提供了几个与Cython代码工作的魔法函数。使用 `%load_ext` 载入，如下:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/supermap/anaconda3/envs/GISpark/lib/python3.5/site-packages/IPython/extensions/cythonmagic.py:21: UserWarning: The Cython magic has been moved to the Cython package\n",
      "  warnings.warn(\"\"\"The Cython magic has been moved to the Cython package\"\"\")\n"
     ]
    }
   ],
   "source": [
    "%load_ext cythonmagic"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "** `%%cython_pyximport`** magic函数允许你在Cell中使用任意的Cython代码。Cython代码被写入`.pyx` 文件，保存在当前工作目录，然后使用`pyximport` 引用进来。需要指定一个模块的名称，所有的符号将被自动import。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "ERROR: Cell magic `%%cython_pyximport` not found.\n"
     ]
    }
   ],
   "source": [
    "%%cython_pyximport foo\n",
    "def f(x):\n",
    "    return 4.0*x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "40.0"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "f(10)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The %cython magic"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "`%cython` magic类似于 `%%cython_pyximport` magic, 但不需要指定一个模块名称. `%%cython` magic 使用 `~/.cython/magic`目录中的临时文件来管理模块，所有符号会被自动引用。\n",
    "\n",
    "下面是一个使用Cython的例子，Black-Scholes options pricing algorithm:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "ERROR: Cell magic `%%cython` not found.\n"
     ]
    }
   ],
   "source": [
    "%%cython\n",
    "cimport cython\n",
    "from libc.math cimport exp, sqrt, pow, log, erf\n",
    "\n",
    "@cython.cdivision(True)\n",
    "cdef double std_norm_cdf(double x) nogil:\n",
    "    return 0.5*(1+erf(x/sqrt(2.0)))\n",
    "\n",
    "@cython.cdivision(True)\n",
    "def black_scholes(double s, double k, double t, double v,\n",
    "                 double rf, double div, double cp):\n",
    "    \"\"\"Price an option using the Black-Scholes model.\n",
    "    \n",
    "    s : initial stock price\n",
    "    k : strike price\n",
    "    t : expiration time\n",
    "    v : volatility\n",
    "    rf : risk-free rate\n",
    "    div : dividend\n",
    "    cp : +1/-1 for call/put\n",
    "    \"\"\"\n",
    "    cdef double d1, d2, optprice\n",
    "    with nogil:\n",
    "        d1 = (log(s/k)+(rf-div+0.5*pow(v,2))*t)/(v*sqrt(t))\n",
    "        d2 = d1 - v*sqrt(t)\n",
    "        optprice = cp*s*exp(-div*t)*std_norm_cdf(cp*d1) - \\\n",
    "            cp*k*exp(-rf*t)*std_norm_cdf(cp*d2)\n",
    "    return optprice"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "ename": "NameError",
     "evalue": "name 'black_scholes' is not defined",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mNameError\u001b[0m                                 Traceback (most recent call last)",
      "\u001b[1;32m<ipython-input-40-ae31cbfa5fba>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m()\u001b[0m\n\u001b[1;32m----> 1\u001b[1;33m \u001b[0mblack_scholes\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;36m100.0\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;36m100.0\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;36m1.0\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;36m0.3\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;36m0.03\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;36m0.0\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m-\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[1;31mNameError\u001b[0m: name 'black_scholes' is not defined"
     ]
    }
   ],
   "source": [
    "black_scholes(100.0, 100.0, 1.0, 0.3, 0.03, 0.0, -1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 测量一下运行时间。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "#%timeit black_scholes(100.0, 100.0, 1.0, 0.3, 0.03, 0.0, -1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Cython 允许使用额外的库与你的扩展进行链接，采用 `-l` 选项 (或者 `--lib`)。 注意，该选项可以使用多次，libraries, such as `-lm -llib2 --lib lib3`.  这里是使用 system math library的例子:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "sin(1)= 0.841470984808\n"
     ]
    }
   ],
   "source": [
    "%%cython -lm\n",
    "from libc.math cimport sin\n",
    "print 'sin(1)=', sin(1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "同样，可以使用 `-I/--include` 来指定包含头文件的目录, 以及使用 `-c/--compile-args` 编译选项，以及 `extra_compile_args` of the distutils `Extension` class.  请参考 [the Cython docs on C library usage](http://docs.cython.org/src/tutorial/clibraries.html) 获得更详细的说明。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Rmagic 函数扩展"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "IPython 通过 `rmagic` 扩展来调用R模块，是通过rpy2来实现的(安装：`conda install rpy2`)。   \n",
    "rpy2的文档：http://rpy2.readthedocs.io/en/version_2.7.x/\n",
    "#### 首先使用 `%load_ext` 载入该模块:\n",
    "**注意：新的rpy2已改动，不能运行**。参考：http://rpy2.readthedocs.io/en/version_2.7.x/interactive.html?highlight=rmagic"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/supermap/anaconda3/envs/GISpark/lib/python3.5/site-packages/IPython/extensions/rmagic.py:11: UserWarning: The rmagic extension in IPython has moved to `rpy2.ipython`, please see `rpy2` documentation.\n",
      "  warnings.warn(\"The rmagic extension in IPython has moved to \"\n"
     ]
    }
   ],
   "source": [
    "%reload_ext rmagic"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "典型的用法是使用R来计算numpy的Array的统计指标。我们试一下简单线性模型，输出scatterplot。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7f9760cdd208>"
      ]
     },
     "execution_count": 63,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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Hqz4AIDlCDQDJEWoASI5QA0ByhBoAkiPUAJAcoQaA5Ag1ACT3f/guLxAnmmcYAAAAAElF\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9760d2a6d8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X = np.array([0,1,2,3,4])\n",
    "Y = np.array([3,5,4,6,7])\n",
    "plt.scatter(X, Y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "首先把变量赋给 R, 拟合模型并返回结果。 %Rpush 拷贝 rpy2中的变量. %R 对 rpy2 中的字符串求值，然后返回结果。在这里是线性模型的协方差－coefficients。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "ERROR: Line magic function `%Rpush` not found.\n",
      "ERROR: Line magic function `%R` not found.\n"
     ]
    }
   ],
   "source": [
    "%Rpush X Y\n",
    "%R lm(Y~X)$coef"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " %R可以返回多个值。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "ERROR: Line magic function `%R` not found.\n"
     ]
    }
   ],
   "source": [
    "%R resid(lm(Y~X)); coef(lm(X~Y))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "可以将 %R 结果传回 python objects. 返回值是一个“；”隔开的多行表达式，*coef(lm(X~Y))*."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "拉取R的其它变量, 采用 %Rpull 和 %Rget. 在 R code 执行后，在 rpy2 namespace 有变量需要获取。  \n",
    "主要区别是：\n",
    " (%Rget)返回值, 而(%Rpull)从 self.shell.user_ns 拉取。想象一下，我们计算得到变量 \"a\" 在rpy2's namespace. 使用 %R magic, 我们得到结果并存储到 b。可以从 user_ns 使用 %Rpull得到。返回的是同一个数据。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[-0.2  0.9 -1.   0.1  0.2]\n"
     ]
    }
   ],
   "source": [
    "b = %R a=resid(lm(Y~X))\n",
    "%Rpull a\n",
    "print(a)\n",
    "assert id(b.data) == id(a.data)\n",
    "%R -o a"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plotting and capturing output"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "R的控制台stdout()被ipython捕获。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:\n",
       "lm(formula = Y ~ X)\n",
       "\n",
       "Residuals:\n",
       "   1    2    3    4    5 \n",
       "-0.2  0.9 -1.0  0.1  0.2 \n",
       "\n",
       "Coefficients:\n",
       "            Estimate Std. Error t value Pr(>|t|)  \n",
       "(Intercept)   3.2000     0.6164   5.191   0.0139 *\n",
       "X             0.9000     0.2517   3.576   0.0374 *\n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
       "\n",
       "Residual standard error: 0.7958 on 3 degrees of freedom\n",
       "Multiple R-squared:   0.81,\tAdjusted R-squared:  0.7467 \n",
       "F-statistic: 12.79 on 1 and 3 DF,  p-value: 0.03739\n",
       "\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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V8cILL8Tzzz8fb7/9dowePbpZCsWzzuKx9b6K2957771m7cedCBAgsKECzzzzTLzyyitx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\nAAAAAElFTkSuQmCC\n"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "v1 is: [ 10.]\n",
      "v2 is: [ 10.]\n"
     ]
    }
   ],
   "source": [
    "from __future__ import print_function\n",
    "v1 = %R plot(X,Y); print(summary(lm(Y~X))); vv=mean(X)*mean(Y)\n",
    "print('v1 is:', v1)\n",
    "v2 = %R mean(X)*mean(Y)\n",
    "print('v2 is:', v2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Cell 级别的 magic"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "我们希望用R在cell级别。而且numpy最好不要转换，参考R: rnumpy ( http://bitbucket.org/njs/rnumpy/wiki/API ) 。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:\n",
       "lm(formula = Y ~ X)\n",
       "\n",
       "Residuals:\n",
       "   1    2    3    4    5 \n",
       "-0.2  0.9 -1.0  0.1  0.2 \n",
       "\n",
       "Coefficients:\n",
       "            Estimate Std. Error t value Pr(>|t|)  \n",
       "(Intercept)   3.2000     0.6164   5.191   0.0139 *\n",
       "X             0.9000     0.2517   3.576   0.0374 *\n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
       "\n",
       "Residual standard error: 0.7958 on 3 degrees of freedom\n",
       "Multiple R-squared:   0.81,\tAdjusted R-squared:  0.7467 \n",
       "F-statistic: 12.79 on 1 and 3 DF,  p-value: 0.03739\n",
       "\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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S/vnnH1ZdwzIahGmdvXv38g/tD/dgsGBYc8PYDJ1jCGfwGSkGoy5QTNgRARwikNEoYCwB\noyIQ5mxgGQkDKzQOzM/CKArGRFBJ4UWGmrlmzZqxOKpQoQI3AhhMQXXkbhCFnizmV5EnGjPUwiDD\nIKJq1aq8BAhzzrgXqiV3Qidh5syZ3IChAkfP2lvjxccEy5eQv6EiQwNu1qwZL7EA30bv3D1/f/ah\ndjaM1rBvjBxQB9TRmDfGHHSNGjW48wKVGPDA3DlGFwkto/CHH0krCASKAKZEIKAMeuaZZ9jC/+TJ\nk/z+wi4C7R6GkokldJgNQy18RzBF5NnOPfN+5513+HtkDAJgu4JpHLQlGHaCMOLF4AA/DAxatGjB\nI3TYo+D7gjnrUqVKEb4hUKVjukjIPwREAPuHl8+psS4YxhQQFjCMgDEU5kkwF4s5H/QiIZyhHoZx\nBRoQGiJeZMPAyCjMGFGjFwqVFdbUGgRBjkYH9TWsGA0BjpEhjDvQiKCiheoYqi8IcXdCebCahvoZ\nv0GDBrFBhXsa7EMgQvWLPGAxDWrdujWfh+oJ5WE07o9qmTNx+0P+GFGDJ9QZIwXMkUP1ho8CrkPI\n4+OBOWj0umFEhuvAFB8DX9XzbsXKriAQMgTQLt566y1X/hgRY34Yo0l8C7CEx31VgyuhHzuY+sE3\nBG0TWi/YbEDDFh/lyJGDNXBYQYFROTrT4BUjcXy3YFntSdCWgV8IXwwuIIjxLcB3C3U4c+aM5y1y\nnAACmhrt3F0Lk0BCuRwcBDBSA0GgeRLUx+nSpfM87TpGrxajWEMAui6onbjuRXnoDGBOKj7CyBz5\nopH5S+AJ6iv0kgMl5IX5JwhXzFdDzQ0BC0KnBSNkzJl5EkbL6IH7orLzvFeOBQGzEcD8Ld5Zb+9y\nYnjBZxwjYQhTfwkCFe0eHXt8Y9C5xUoEo915yw9tE20Rqm8QNGNot4b62ts9ci42AiKAY2MiZwQB\nQUAQEAQEgZAjICrokEMsBQgCgoAgIAgIArEREAEcGxM5IwgIAoKAICAIhBwB/yf8Qs6S/wVgDa1M\nZfuPm9wROgQw5w4LcaGEEZD2mzBGksJcBMxqv7YfAcMjVCjWnpr7uKW0SEMADk4QbSaSCUZx3qxl\n/amztF9/0JK0ZiFgVvsN2wgY1nZYthKo1SpGvlhug7VoQoKAVRCAc4VI08rADzGWtSEiDpauGWHo\nYPmK9axYQ+4vSfv1FzFJbwYCZrVfU0fAML2HS0SsGzV898IJBbxGJbRw3AzQpQxBQBCIGwG4/sTS\nGSxtg59xOEbBelOsHUVQDCFBQBDwDwFTBbARDg8LtuHDF4330KFD7AYRHlmEBAFBwPoIYN0oHKRg\n3Te0WHXq1HEFE7A+98KhIGAdBExVQcMnMWJVukfZgKNvRLlBaD4hQUAQsC4CCDuH2MvQYMFLGTyw\nwZUq3K4aMaity71wJghYDwFTBTDcJiI6CNyloTGDEF0DsWbdY9xaDybhSBAQBBAkBD/43D5y5Ah7\nc4M/YBhSwR2hkCAgCPiHgKkCGD6JEQ8T1qGI3AF3ZvA/CuELn8hCgoAgYH0EnnjiCcIP5C2mrLca\nwG2ht/B38E2OcJdCgkA0ImCqAAbACPiM2LD+0vbt22nUqFGxbsN8ctGiRcUKOhYyckIQMAcBLNmA\nNTMCacRFCBOJ9b6ehM43HPsjoICQIBBtCJgugL0B7EsDRrQgRBDxJKi0EWxASBAQBMKDAKLiJERG\nWDvPdOiMR9pyLc86yrEgEBcClhDAvjRgrBf2Fp0DUTzs3oARiQjxbrGe0luko7genpwXBKyAgMSB\ntcJTEB7siICpy5DiAggNOFoa8Zo1a9iBAeJvghB+r3379hwODPF14V1ISBAQBAQBQSB4CCxZsoSn\nSN544w22PULOZ8+eZS+KK1euDNsgztQRMAKpb9261SuqrVq1CiiYu9dMLXby7bffpl27dlGPHj14\nzmvHjh0cXB4BsDNlysTODeDowIixaTH2hZ0oRyDa22+UP35bVx82CGPHjiV4c4M9EeKxY0nswIED\nac6cOXx+06ZNAXtm9BckUwUwRnhwuAFjjUKFCsXgNb5A9DES2vTg6tWrtGDBAoLVJ5wX1K5dm1q0\naEEXLlygPHny8Ki4ZMmSInxt+nyjge1obr/R8HwjuY6vvfYaaxs3btxITZo0oZo1a/KKHMihDh06\nULdu3Xh1Tv369U2FwVQB/Mgjj7AQGjBgAGHEG00E1XKJEiVIO3acbhcqQUmO7GdBjKVYgwcPJmDz\n4osvRhMkUlebIRDN7ddmj0rY9UAA7lPbtWtHb775Jq/EgR+KHDlyuFLlzJmTXay6Tpi0Y/ocMEZ7\nK1asMKl61ikGy6/Sp05NZ9u/QDfHjaat/V6jnTt3EtZHzpo1i3bv3s1BJS5fvmwdpoUTQcADgWht\nvx4wyKGNEICRbsuWLVkAQ9MKV6qlSpWiBg0a0K1bt+iLL77gEXDFihVNr5WpI2DTa2ehArFUanTu\nfLRs/0HasH0r9T3/NZ04cIBSqxcCnoWEBIFgIgCremhcPvnkEzqg3rNXXnnFZ6cZweRD8hIEwo0A\n7GqgakabwK9Ro0bUv39//u5C5YzRMDy7ZcyY0XRWRQCbBLl+5iw5tu+gFju2Uktl9X3n9QGkHT5C\nVL2aSRxIMdGCAAwdYe0Jr3NYJw/3kT179pS42dHyAkg9YyAAT2swgPUkK/gvN10F7QlCNBzrav7X\nOeod0l55iTQlfEGOZ6qRvn5jNFRf6mgyArC0HzZsGBuVwNKzX79+hFCCQoKAIGAtBEQAm/A89IVq\nzW+GR8lRscL/SytdiujcV6T/9NP/z8meIBAEBODa8cMPP6Rp06axxSdi92bLli0IOUsWgoAgEEwE\nRAAHE00veekq2pO+fCU5er4S46qWLBlplSqSvmFTjPNyIAgEigCWt8FtK0IHYmnb7du3acSIEYFm\nK/cLAoJAkBGQOeAgA+qZnfOd8aS1bUOaMrbyJE2poZ0jxxC1auF5SY4FAb8ROHz4MMGrjzthyR8I\n5+FxTUgQEASsg4AI4BA+C+faT4juOElrUM9rKVqe3KT8ohEMtLRcOb2mkZOCgK8I3H///YT1jN4I\na3iFBAFBwFoIiAAO0fPQf/6Z9FlzyDFBGV/FE61Jq1Gd9HUbRACH6DlEU7ZPPfUU4eeNoIYWEgQE\nAWshIHPAIXoezgmTeeSrZckSbwla9aqkb91Gunwg48VJLvqOwLVr16hWrVqUN29eyp07N2XPnp2d\nvPieg6QUBAQBMxCQEXAIUNZ37iL69jvSBryeYO5a+vRETz1JtHsPUflyCaaXBIJAQgjAAhrxd8uX\nL8/u9m7evMke1xK6T64LAoKAuQjICDjIeOt//EEY/Tr69iJYOvtCGAU7xRraF6gkjQ8I/KHeQbjV\ng7u9EydOUNu2bTkCjA+3ShJBQBAwEQERwEEGW582g7QypUnLl9fnnLUK5YmOHCVduUwTEgQCRaBK\nlSr01ltvURY1/QFvWFgPnDx58kCzlfsFAUEgyAiICjqIgOrHT5C+Zy85PpjlV67avfey0NY3bSGt\ncUO/7pXEgoAnAlgDPHLkSEqbNi1vEec03OuAN2/eTEOGDPFklYOiFyhQINZ5OSEIRAMCYRXACNH3\n999/U8qUKW2Ptf7vv+QcM44cPbqRloj6sBr6fSW4RQDb/l0IdwWWLFlCQ4cOjcEGIsBMnTo1xjkz\nDzAqx8+TOnXqRIhWIyQIRCMCpqqgJ0+eTDt27GCc4Qgb8Rjz589Pbdq0YUFs5wegz/+QKGsWHskm\nqh6FCxFh6dKFC4m6XW4SBAwEEO0F4S3xQ2CG3r17E9xTCgkCgoC1EDBVAMMhPEJDITgy/NPCc8+5\nc+coa9asYe2dB/pI9G++If2jj8nR/eVEZ4W1wvCMhTXBQoJAIAgkU8Z/qVXsafyghn7++edpzZo1\ngWQp9woCgkAIEAiLChrqsIIFCxI894Dq1KkTy4VeCOoakiyhPnOOUe4mO3Ug7aGHAiqDXVP26EP6\nCx1Jc5jaNwqIb7nZWgjs37+f1q5dy0w5lac1WELnyZPHWkwKN4KAIECmCmAEPoaDeHjrOXXqFF26\ndIngNKBz585khdiMiXkf9FVqZHFPMnLUrpmY22Pcoyl8CC4DDxwkKl4sxjU5EAR8RQDxT91dUpYt\nW9br/Kuv+Uk6QUAQCA0CpgpgBAbH79tvv6UjR47QfffdRz/++CPNmzePvfaEpoqhyxWhBPUP5pNj\n6qSgFcKesdSaYE0EcNAwjbaMYFuBn5AgIAhYGwFTBbABxRNPPEH4gR588EHjdLzb8+fPE5YyeNKZ\nM2fo0Ucf9TxtyrFz3ETSmjUhLVOmoJWnValEzpmzCQ49EmNNHTRGJCPbIYB53oEDB3rlu1ixYjRz\n5kyv1+SkICAIhAeBsAhgz6qOGzeOlyLAWjMuSpo0KRuVeF6HwYkjDPOlzi1bia7+SNrQQZ4sBXSs\nKcMZKlJY+YfeTloQ1NoBMSM32wqB2rVrU+XKlenQoUM0YcIEXnebSXUO4ZrSsLewVYWEWUEgwhEI\nmwD+V62bheBMkiQJvfDCCwnC7D5qdk+8ZcsW09cR6rdukf7uNHIMG0ya4j/Y5IBryqXLiUQABxva\niM7P6KTu27ePWrduTfny5eP6Yq1tvXr1eLlfRAMglRMEbIaAqQIYIdFeffVVWrVqFcMEAQwXec2b\nN6f+/fvbBjoIX61yxdCFECxZgkg59dCvXCEtTOp12zwMYTQWAlWrViUI3Svq/Xn44Ydp8eLFPDKO\nlVBOCAKCgFcEsFLHDDJ1rcv48eO5Tpi3xZwu1gBDXYYPxcKFC82ob8Bl6IcOk678Nmsd2gWcV1wZ\nYFStVa0sa4LjAkjOx4sAIiHNmDGDjR23b99OLVu2tFUHN97KyUVBIAQI3Lhxg3744QdXzvfcc49r\nP5Q7pgpgVBBeejBvaxAqCvXYxYsXjVOW3er//EPOd8aTo1d30lKkCCmfWnXllEMiJIUU40jL/MCB\nA7R06VLau3cvwR0lCM44cN6uy/wi7RlJfayDABxCGXRBeSBM4fZNN0sAm6qCfu6556hr167UuHFj\nwppgEATv/PnzvVo4G+BYZavP+YC0vHlMWSKk5chOSj9PCPCg5b87l2cVHIQPayIAr1dwvAG1c5Ei\nRWIwmR5xp4UEAUGAEYAPim+UB8Ny5crxcaFCyhVwGMjUETA+CgiPhqVHx48fp6NHj1KqVKlY+Fr9\nA6F/9RXp6zeS9nIX0x4Tu6ZUZQoJAr4ggPCDiIQERzcwWmzWrBmvtT99+jSFIuIQgqkg9rCQIGB1\nBNAxhcGuQeikGsLXOBeOrakCGBXMkCEDG4gMHz6cQ6VhRGx54asennPUWNK6vEBamjSmPSd2yrFt\nO0H1LSQI+IoAAjD07NmTndygfd2rwl3iOFCK5GAqgWIj91sPgZ+UoyRE2wPBANjwPYFjtAkrkOkC\n2AqV9pcHfdkKogfSkKNaVX9vDSg9+5bOk5v0nbsCykduji4Edu3aRcOGDaOPP/6YmjZtSv369SME\nQgmUIjWYSqC4yP3WQQDLWw2CLQSC3IAwpwvNkNUoTgGMtYSgTz75hAYNGkSwEotG0i9fJn3hYnL0\n7hGW6osaOiyw27pQhB6E841p06ZRkyZNOPJYtmzZglYn92AqWEqIYCpwKSskCIQTAbg3hptjg+rW\nrcuC1zi24tarAA6VCsuKACTEE6yetVYtwrYeVytXlujUadJVrGAhQcAXBFq0aMFzwT169OB42xgV\njBgxwpdb401jBFNBeMONGzdyMBV89BBMBYaVQoKAmQjAihmRvgzKnDkzBbOjaeQbyq1XARwqFVYo\nKxKKvJ3r1hP99jtpTRqFInuf8tSU6kQrX470jbH9YPuUgSSKOgSgdsMa+6FDh9KiRYvo008/pa+U\nEWGghEAqyBdLmjAfjGAqMG5BMJWiRYsGmr3cLwgkiIC7JvZnNShB5C+DsArAbuR1GZKhwjp27BhN\nmjQp6CosO4Ck//IL6e/PIsfo4WGPzctxgidMJnq2qR2gEx7DjMDu3bt57mvw4MH0i3qP4RcaQRog\njINB7m5hfQ2mgpHyggULYhWPqa6sWbPGOi8nBAEDAcRcR6cSBlWwZDa0LcZSViOdHbdeBTBUWJjn\ngUu7kiVLsreqYKiw7ASQPnkqaTWqkxbEubPE1l97Oj/Rn38SlkJZgZ/E1iPS7rt+/TodPnyYAx1g\n+Y9V6OTJk9xu8eECYeWBYQ0aCh59CaYCoY3viifBIx5G0kKCgDcEIHAhg1KmTMkOnAzh6y2tHc/F\nEMD4mKxcuTJGPQYMGMDHON++ffsY1yL1QN+3n/QzZ8nRv49lqsjGWOs2qHXI2SzDUzQzAmMPGHng\ng7B8+XKqUKECTZkyxRKQwLd6+fLlORgDAjQsW7aM2rZtG1Te/A2mgpGyp3MQMAS1odFRCCqDkpmp\nCNy8eZPf/6tXr/JzbtOmTaLKh8YGncVHHnmE74d2BMIXFI6od1xwCP9izAEjZFnOnDm9/jJmzBhC\nNqyTta5Gms7xk8jRpydh/tUqxAJ4k4r8pJwfCIUfAQhfrGUfqAyd4FQGaw43bNgQfsYUB3A/CSMp\nOBpAu4X2ytvo019msZayT58+vJwjV65chB8iLkHFjaAqQtGJADpjeBfQ2UMULkyB+NMZ/VN9cw06\ne/ZsDMvlSJ+eiDECxjop/K5du8ahy9DLh5EFGh5UbDVq1DBwititPmsOaYULkVaooKXqqCk1Ij3+\nOJEanVPpUpbiLdKZ0ZVwpe9/IF391IJa3o66cYuqTnqPnPsPUpLBb9EzzzxD6P1bgb7++mtut76E\n+fSHX/dgKoY/93+Uk5hevXpxMBVYRwtFHwII+IFY1FhvDkKnDMvfXn755QTB+O6779gdcZkyZTht\niRIqElwUUQwBbNQbawgRUQVqrBw5chDUC1ANRDrpp8+QvnU7OT6YZcmqsjGWck2ZRARw0J9PDCGr\n/MSysL2knFf8cJkolZqjzJSRNLXMAVtH5Yp0+OK3tFWdH62ELwRvhw4dCEaLViAj3Gfv3r2Dyg6C\nqcCxhyF8kbkRTGX/ftUxFIpaBNyN8TClgOAG3giDuT179rjcQMIlZCQYU3mrqy/nvApg+HetWLEi\nNzT0bmBB2bBhQ8K6wkglqHado5W7yW5dSVP+qa1IWqUKpE+dRroykLMqj1bEzeBJh7MIYyTrKWTv\nT31XyGbKdFfIVqlElBn7mbxGvupZvBh/RCpXrsxGROvWreM1t0ZZ4dzCaAWBT7788kueYwUvUOV1\n7NgxILbsHkwloMrLzXEigNHrxIkTOQRmwYIFOeAOQmAahOVCmBZBxw3q6kfdYpxHuwGeVwFcpUoV\n9h2LGL3wIQtfzZE+xwNvV5ThUXJUrGC8N5bbasoYQStZgvTNW0mrX9dy/IWCIYy64FYRPWr0sufO\nnctzTXGVxUJWjVzvjmD/G8lCdYyRrLuQVcLVodx8uoRs8uRxZen1PHzJIsyfFQntFZi5k2HU4n7O\n330jmApcXGLeG9NTj6tpkc2bN1ven7u/dZX0viOAtgBDRCx7Q6cPmheooA3atm0bh5zFMdJmz57d\nuBT1W68CGPO9I0eO5N4ztps2bQqKJx13tN2tKN3Ph2NfVyER9eUryTFzWjiK96tMVkPPnU8UBQIY\nnm4yqREoYtsOGTKE7RIGvPkmDUdgAUPI/jcni2MWsmnuZ6GqYSQLIZsv710hq4yRND+FrF8PxkKJ\n8YEL1UfOCKZioeoKKxZAAAM0o9OH1TQIM2sYUCEGvJB3BLwKYCQ1QjVVr16d8AsGQf//6quvkjFH\nBbNyPDgsm+jfv3+MuaVglOdrHuxusm0b0tKl8/WW8KUrquK8jhxDulKh8pxk+DgJecmYV0Rvuqla\nj+4cPorWPJieDs+aR86vv4spZBEvWc3NsrrYQpbrIQdIChAELIAApiwhcLGCBgTLe6tHuLMAbMyC\nVwGMEQfc2LkTBPLUqVPdT/m9b0UrSufaT4juOElrUM/v+oTjBk11WrRqVe7GJu7QLhwsmFYmDHww\nf+QcNpI7Gzdbt6JmWzfQ10sXmsaDFCQICAKxEbh16xbP6+IKjBDd53KDMd0Ru8TIPBNjHbBRRagM\nsJYLPwRmwCgE7ikDJcznIW9vVpToQZlNCHCgz5xNjr5qze9/YavM5iEx5cFDl66cckQ6wbgj07ff\n0bp5C2hVhvRUvvVzNHT06EivdqLrt2bNGipQoIDXX6AGWIlmSm6MOAQwNYRpSYOgakYgBCH/EfA6\nAoaANIQkrNewvg9LkrAIPxCymhWlU/lX1hrWJ025ybMTaeqFVxZJpB86zGuW7cS7P7zqSrX19kPp\naNOrfeiKcvsIDUzZsmX9ySKq0mItJqyyDx06xM4xMG+OOXQsK4STHaHIRQBGcQgdi3XZXbp0oXRB\nnk6DS0i0PWilMG3YoEGDyAXTxJp5FcCYe1u7di2zAUtHhHzKkydPwGxZyYqSg9xf+Ja0gW8EXK9w\nZKBVr0r6hk2RLYCnzyStVEl6pld3eiYcINusTHgiQocZAQ7gkQgOEUCdOnViK9TEuge0GQxRx+6Z\nM2d46Q/sa/766y+qX78+R6gKJDQffD9AmBsRhrBWF8IXhPdMKDgIeEUSIZ6MCXUUg54PliYFgxJr\nRQn/oHgpPAluzNxDUuG6+/yE12O1HjTlxCnkeOtN0tTLlGB6t/kOr/mF4XoqNQ/snDuP9L+60W9q\nbR0+vAbZsT6e/KdSqmd9125yzJtty+djPItwbBFEBUL3ypUrBEcHixcv5pFxOHiRMkOPACLWwWYH\n/shBMHZdsWIFG7b6Uzq+scZyU4yo3QddobKq94e/SEwbYw7YmEOCt5sxY8a4fuhZde3aNWT1RzSV\nsWPHxps/1lwiHqnnD/PUnn6q4YrPnTyPz6s4v1qZ0qRhiYoiz+t2ONbSpCEq8DTp23fYkv/4ns/X\nKuqTc8w4cvToRlj7bIfnEV993K+ZsQ8vdjNmzCC4koUjHThFwCoDochEANMLxugUNURn9o6fPuMv\nXLjAkb0MhGB/4e7dyjgv2yAjoNyGuUitzdXVKFPftm2brnT8uuoFKTuln3UVfFv/4IMPXOmCvaNG\nbDp+iSFlXKIrN4A+3+o8dly/3aS57vz9d5/vsWpC57bt+u1efa3KXqL5ujN7rn574KBE32+FG1WH\nUv/oo4/Cyor6CCunab/pahoprHzEV7i/7Te+vKL12ueff66ruX99165d+vr16/XSpUvrqvMVLxz4\n1iuXkK40v/76q3IGeMd1HO07ZrXfGCNgb3NI6AVBnQVDjmASHHEYvbRUyvUjfqEmXZXpPrIKdXkh\nz1+N4unLc8R+jENemDkF6Konrq9ZS47uL5tTYISW0rdvX54DXrRoEdWpU8eyXrsiFH5Tq4UpwlGj\nRnFADBhLIRIRPJR5Evz5w6YHhKm7hx56yJUEo+hIDPfnqqBFd7zOAYdqDincjjj0+aoTkTULq58t\n+jz8Ygvz11rlSneNsVrFDnbuV2YWSKx63aqDNJ60ju1Jc/s4WIA1W7GAaRksq4NrQHx0ES4Q/twh\njIUiE4GiRYsSfp4EgWsIVvgrb9asGSeBmtrd7sLzPjk2B4EYI2CjyFDNIbk74jh//jydO3eOl0zA\nWAR+p0NJ+jffkP7RxxE3suI4wes3hhI60/LWV3+kTCyTkKNOLdPKjMSCTp48SQjIYKxth+EjDGyE\nogsBuIS8pDzmGQSPg4YwNs7JNrwIeB0BgyUIYfyCSeEKZ+YaWXXqEHEjKw0BBdTIEaEUtdy5gvm4\nTM0LanRdWXU7pkwwtdxILAwfWqzbxzIkTCstW7aM2rZtG9aqIsY4gq17EjrfskbZE5XEHcMl5OXL\nlzmmO3KARyr3yEOJy1XuCiUCMQQwLI1hcYr5A8Nfs1E4PGG9+OKLxmGituFyxKGvWkN0TzJy1K6Z\nKL6tfpMxCrazAHaOm0ha08akqfWGQoEhANXixo0baeXKlWwJ3a1bt6B3pv3lEJ3vzz77LNZtGKE9\nYTNHOLEqEcYT8EpluIH8XgUmQbQhgzxXhxjnZWsdBGIIYCy6xpwB1g7CaYY7BcO5djgccfDI6oP5\n5Jg6yb06EbXPEZI6vEj6y114XbPdKufcuk05lP2RtKGD7Ma6JflVqxjoxo0b9MILL7j4gxBWqxlc\nx2bvPP3004SfJ8GPMDRUQv4jgPX+MLqC4w2QrNX1H8Nw3xFDAGfJkoXwA0FlVKJECXZvhpFxtWrV\n+Hygf4l1xOFPubDwQ8xSeHKpv/8gpWzWhDg8nT+Z2CgtR3HKno1IOa6gCuVtxLnSnv/2G+mTp5Jj\n+BDSkiSxFe9WZfbUqVO8rh4qX6zhB8GbnZD9EYDArVixIs/lwmlG3brRERfc/k/Oew28GmEhAENP\nFXP1R+UxCg44oNbAsR0IS5sKFixIR44coRR79tGiSZPpbIH8dmA9IB7hmtKpXFPajfSp05Uld0XS\ncuW0G+uW5hcGj3DEodbIc0fU0swKc3EigFEuLNkNwpyuYUgF5xvGvnFdtvZCwKsAVgu6ObgyRpHw\nitWvXz/C/IIdaN68eRzLeKjq+Te4fJXyzp5Bk/8Lo/iTMvQJdB7bqhhoGPkeOUr6r79alcVYfOmH\nj9wNKNGhXaxrciIwBJIobcJ7773HLmWxDlj89waGp5l3w0eCQdA+GtbsOOfuHtJII1v7IhBDBW1U\nAwZXcLxx7Ngxgp/R999/nwJx7G3ka8YWRgmsLlc9R8z7Pq5e5kurVrI5PtzxefMnbQZfoS5DS5GC\ntLJlSN+0hbTGDUNdXMD562p6wPnOeHL0fIU0N8ORgDOWDPgjbThZQOcZRk6bN28WZGyAwDdquSQG\nCsWLF2duK1WqZAOuhcXEIuBVALdo0YKUCzt24J4/f346ePAgjRgxIrFlmHpfuXLlWADnU2p0qGsq\nq+P27duzv2h0KlC3SCU2xpo2g8gOAlgtOYLVtlbi7ocmUp+JmfVyX8WAd93de52nUaWZfElZcSOA\n0S4GOsbzQWAZsQqPG69Iu+JVAEPlAScZiC+JtWWffvopG2R587RiNUAQkHz58uXsPhNm+N27d+d5\nbEONE8kWl1rhQqTMXwnuHLX/jOms9nzAj66CLeifrSfH3JlWZM+2PIV6FYNtgbEY49DCGWufobFz\nd8MrARAs9rBCzI5XAWx3V3ZwQoA6RCPxmuB1G0jr/P8lKFbCQUUGuOtusnMn4ohOVmLO5rwcPXqU\nXU56q0axYsXYetbbNTkXegTcXUKuXr2ajNjMGPF6hlMNPTdSglUQ8GqEFcmu7GBUFsnEAnjjZoKg\nsyLpy1cSpbqPHM9UtyJ7tuapdu3atHPnTrbbMOw4sCYYwVTQKRUKDwJwCQmPXwbBIZGQIAAEvI6A\nrejKLliPq3HjxsHKypL5sCcp5YKODhwkKl7MUjzq6iOkf7iIHNOmWIqvSGHGWzQz1A0CuF69eq5R\nV6TU16r1gB8CLOE05nLh2MjdJaQsHbLqkzOfL68C2Iqu7MyHxr4l8ih4/UbSLCaAYfWstWxOmgoO\nIBQ6BEIVzSx0HNs/57/++otSqJUIIFgyG3O8OPYWGhDnhQSBWCpoGF9h2REWgMOV3bBhw+jnn3/m\nBf0Clz0Q0KqoEIV795GuDOisQs4NKmLTzVvs79kqPEUqH6GKZuaJF5zewEgz2kkFs2ff2wYOWKub\nOXNm41C2gkCcCMQQwHCYjt4zvEhhLS2OYUUMQRyK5TvSgON8LgFd0FKlIipahPSt2wPKJ1g3wzmI\nrpZHOfr1Is0R45ULVhGSjxsCCKiCERiCtE9VTmiCZfcAX9I7duzgkqZPn045cuQgLFOEQVG0hTvE\n3LpBGPlC3bx06VKCEyN3ev311+nMmTPup2RfEHAhEONriHWETZo04UY7ZMgQtppED/f48eMsmF13\nJXJHGnAigUvEbY5nqpGu1NBWIH3KewS1uJYtmxXYiXgeEMlszZo1Qa8nvOFhtIelM9CSwbgIGrOs\nWbPyNyPoBVooQ9TZ3YmP4egELK5fv57atWtH169f57n2MWPGMOfww71v3z5xBWqh52g1VmIIYLxA\nRkSNx1RYOFhSzpgxwxXuKlDmo7kBB4qd3/fDwYXyBQzDp3CSvv8L0k+eIq3d8+FkI6rKLlmyJE2Z\nMoXdrr7xxhuE38yZwVtzDSc98LeOUTYMiuDqEkZHkUa3b992VclzZGtEdkKHBBqAdevWUZcuXdja\nGZboCIgxfPjwoAxcXEzITsQh4NUIC7WE44qnnnoqJBV2b8AoAA0YsUuFgocAIgtp1aqQjjXBbdsE\nL2M/ctKVYYpz7ARyvNqXNOU4XsgcBBA6FLYb7gQnHYESOuW9evXi7wIEDGL5Impa586dCSrpSCKo\n8REEAfPpIEzJGc583OuJbxmWf6VLl45PJ0uWjAcxsJsRa2d3pGTfGwKxBDB8P0MY4uXD2jWomEDw\nMGWoVrxl5Mu5aGrAvuAR6jSaWmvrfGswUbgE8MzZBO9cWqGCoa6q5O+GALwpLViwgKMhwQEERnLw\nLVy9emBrr1966SXCD1GWYCeCQPAY+SIASt68ed04sN8uXEKePn3aFbMYo3tjGRFq40344jyWF0Ho\nYr4dfrfhc3vs2LFxOkTBPUKCgIFADAGMkWhc0TbczeqNm/3dRnID9hcLM9JriBGsYobqx0+Qlj+f\nGUW6ytDPnGUjMHE36YLEtB34gMbIDc43YCiFuUv3kHaBMgLBZAgnO7tOxLwuOhEgqJIR3s8gXzUG\niDoF2xZ4Gtu4cSMLZMMIDnnBN/0jWJcvJAh4QSCGAIYaxVCleEkbtFOR0oCDBkgIM9JqVL+rhjZR\nAOtqeYpzzDjSXupMWurUIaydZO0NARhOVqxYkUdm27dv59FYw4YNqUePHt6SB3xu3LhxBB/rvXv3\nDjivUGcAPo3R7LJly6ht27ZcJASur0LXk0f4TYjL0rls2bKeyeVYEHAhEEMAu86avGOnBmwyNAEX\nh3lgZ5v2pHd/2bR5WH3REqL06chRWUKpBfwAE5FBlSpVqGfPnrRw4ULeYk44udKEBJOgssUcJ0aA\nWKaYEEE1i5UVnnT27Fme3vI8H4rjQ4cOUaZMmVwjUsMfcyjKkjwFAV8QCJsAtmMD9gVQq6XRHnpI\nRfHOTfrOXaSZIBB1ZZijL1tBjpnTrAZF1PCD+d6RI0fyiA7bTZs2BSWcKOaSsbQGy5xAEMAQ7HBd\ni1jb8RE6Bfh5EtxkhipCGVxCwhgKQheUJk2aGBo+MZLyfBpybDYCpgpguzVgsx9GqMoz1NBkggBm\nd5PK6Ev7zyo0VHWSfONHAHOPIBheBWp8ZZQ0fvx43oW6FYZHoH/++YctozHafv758C81Az/GXO6X\nX35J8MNsUKhWdRj5y1YQ8BeBGOuA/b3Z3/TuDfj8+fNsYQ21EKyt0YCFQoOAVrYM0anTpKvRQCjJ\n+cln6ov8L2kN6oWyGMk7DgTgfAOrFbz9OnbsGMddvp+GZ7xGjRq5hC/uhLBDoIeLFy/6nlGIUt5Q\nsbAx2jcIOIhLSAMN2VoRAVNHwGjAcItn9J4BiNGA9+/fb0V8IoInrMHVKpQnXYUp1J4NTThGCHd9\nxixyjB/jMnKJCPBsVAmsR61cuTKhUzthwgSec4X6FVbRwVjFgDB6Xbt2JUQUw5JCEATv/PnzeflN\nOKCC0wvD0AkuIYM12g9HXaTM6EPAVAFsxQYcLY8camjnuIlEIRLAzolTSKtXhzTlllAoPAiEOhxh\nkSJFCMHkP/74Y3ZPizXGiPQDAysYeplBmNdFucbyIWOLsu+9914zWJAyBIGgIWCqALZCAw4acjbL\niNcBK89U+rmviNcHB5F/GHjRNxdIe/O1IOYqWSUWgVCGI8ygQknCcMpMgsA1DKa2bNnC65uN8gsV\nKmTsylYQsB0CpgpgoBOOBmy7pxIihu/GCVauKeGgI0iEkIcY/ToGvkHaf4Y5QcpaskkkAkY4wiVL\nltCJEyeoZcuWQYuI5M4SfEznzp2boNkKFcFWBO4eMZ8LqlmzpksYh6pMyVcQMAsBU42wPCuFBgyX\neULmIMDW0GoeGI4ygkX69JmklSppuqetYPEfifnAGGnQoEEcEQlGSWhnrVu3tkVVsTwRfqYNSpUq\nVQw3l8ZI2LguW0HAzgiYPgK2M1h2511TfmuVD0GifcrgrXSpgKujnzhJ+q7d5Jg3O+C8JIPgITBn\nzhyCahYrC4wlOYb3p+CVQiwYjTW2wcoXEdnchay4cQwWspKPFREIqwCGA/dgN2ArgmwlnqCGdqo4\nwUkCFMC6Gqk4R48lR49upKVMaaUqRj0vsHhGvFp3A6VQgALVdjDIfVUEghvgJyQIRAMCYRXAwWrA\n0fCgglVHrVIF0qdOI13Nq2lKvZdY0heoddtZsxCvMU5sJnJfSBBArN4GDRrQZ599Rln/s0pHbG9f\nXEaGhKEEMoXaWUgQiEYEwiqAoxHwcNcZo1WtZAnSN28lrX7dRLGjX7hA+pq15Jj9fqLul5tCi8AD\nDzzAIfHcSzFrmZB7mbIvCAgC8SMgAjh+fCLyKquh584nSoQAht9e55jxpHVsT+xnOiIRsnelsmXL\nRvi5E9zACgkCgoC1EAirFbS1oIgibooWIbp6lfREuA/UV39ElCwpOerUiiLA7FXVa9euUa1atdhI\nCsuEsmfPbgk/zfZCUbgVBEKPgIyAQ4+x5UrQVBQbhCnUlTEWRrK+kv7TT6R/MJ8ck+865ff1Pkln\nLgJwPYm1wOXLl6ccOXLQzZs36ZdffjGXCSlNEBAEEkRARsAJQhSZCXhNsBLA/hBcWWpNGpH2nx9g\nf+6VtOYh8IdyjlKxYkUqVaoUO+JA0Pnt27ebx4CUJAgIAj4hIALYJ5giL5GWJQvRgw+SfuiwT5Vz\nbt2m1NY/ktbiWZ/SS6LwIYC4u2+99RZlUc8YvpunTZvGcXvDx5GULAgIAt4QEAHsDZUoOXfXNWXC\no2AsWdInTyVHv96kJUkSJejYt5rFixenkSNHUtq0aXn79ddf04gRI+xbIeFcEIhQBEQAR+iD9aVa\nWtXKhEAKugrSEB/pU6eTVrkiablyxpdMrlkEAYTogwcpOOJAeD4I43nz5lmEO2FDEBAEDATCZoSF\nxfdwOZdERlTGszB9q6VJQ1SwAOnbd5D2THWv5euHj7Ca2jFnhtfrctI6CGDut0OHDuxLGT6U06VL\nx8whmMGDarohnPTFF1/QzJkzY7GAzoLnkqlYieSEIBChCJgqgLEW8dVXX6VVq1YxnBDAyZMnp+bN\nm1P//v3J3SVdhOJtuWo54JoSS4u8CGD9n3/I+c54cvTqTprEWrXcs/NkKKVysjJ06FAOwgB3jvny\n5SMIZQhfzAeHk3LlykW9e/eOxQICR6RIkSLWeTkhCEQDAqaqoMePv7t85cyZM4QwY+fOnaNDhw7R\nlStX2HF8NABuuTrCJ/RX5wlLjDxJnzuPtNy5SCtezPOSHFsUgbVr13J7gpvX5cuXU7Nmzahhw4b0\n/fffh5Xj1KlT85IoLIty/6VRWhgjYERYGZTCBYEwIGCqAP7hhx+oUaNGMUa6aHz16tWji4lwChEG\nvCKuSC1pUjW/W4nXBLtXTv/qK9I/W09at67up2Xfwgjs3r2bli1bRt26daNvv/2W533Pnj1LU6dO\npddff93CnAtrgkB0ImCqChqBu7t27UqNGzemx/5bSwrBO3/+fNq8eXN0PgEL1JpdUw4fRfTc3eg2\nutN5191k507E88QW4FFYSBiBffv2UatWrbhtYelR/fr16V41dVCmTBl65ZVXEs5AUggCgoCpCJg6\nAi5SpAivS8Sc1PHjx+no0aMEYxEIX3EWb+pzj1EY1Mwg/fSZu9tlK4hSpyKHl3lhTiB/lkQAy44u\nXbrEvH388cesWcLBiRMnVBhoFQdaSBAQBCyFgKkjYNQ8Q4YM1KlTJ0uBIMwQncqcic692IW2PpqO\nBv94gx5YrII1CNkKAUzljBo1ivbs2UP/KAO6ChUq0KZNm6hHjx40evRoW9VFmBUEogEB0wWwN1DH\njRtHiLLjzUrSW3o5F1wEdu3aRRP27qJpukbFktxDE65epobKMK6gBEYPLtAhzg0GTQcOHOARb/78\n+Smpmt8HzZ49m+CcQ0gQEASshYAlBLAvgcJhOf3JJ5/EQu/YsWOUOXPmWOflRNwI7N27lxYvXkxO\nNdcLJw0LFy6kvmrklKbPa5Tm24tUfMxIWrduHSGwu5C9EMCSnqJFi7qYrlq1qmtfdgQBQcBaCFhC\nAGMeOCG6//77KWfO2J6Y0NPPmDFjQrfLdTcETp8+Te+88w69++679PnnnxOwxXrMpDvuGsL9vnQp\n3blzx+0O2RUEBAFBQBAINgKWEMC+VApC1pugvX79OquvfclD0txFoF27duwMBe4Jt2zZQnDa0KVL\nF3bacOvWLXbeDyMeIUFAEBAEBIHQIWCqAMaoa+vWrV5rg+UTcB4gZA4CcM6ANdhTpkyhN954g1au\nXMmqaMzFL1q0iB566CFzGJFSBAFBQBCIUgRMFcCtW7fmjzyMrQoVKhQDcsNvbYyTchASBF588UUa\nOHAg/fjjj/T4449zGRgF9+rVKyTlSaaCgCAgCAgCsREwVQAjQsuCBQtowIAB7DAgNjtyxgwEBg8e\nTB988AH7B4ZnMiFBIDEIwE7g77//JvigFhIEBAH/ETDVEQfYy5MnD61YoRw9CIUNAXSE+vXrx36C\njaUqYWNGCrYNApMnT6YdO3Ywv9OnT2efzjCCbNOmDQviYFXkLxUeE36sYal/7do1zha+rLt3707Q\n3sDNppAgEAkImC6A3UHD3CNGxEKCgCBgfQQgBH/99Vf6/fff6f3336fDhw9zQJWsWbOyv+lg1ACj\nakxPIUjL5cuXOaQi/FnDc16fPn0I01gffvhhMIqSPASBsCMQVgEc9toLA4KAIOA3AogvjDXiWL6G\nkKJ16tRhewK/M/JyAyzzS5YsScOHD6eePXvShg0baOLEiVSjRg36SUXsgk/runXrerlTTgkC9kMg\nrAI4b968rqAM9oNOOBYEogsBBFCBod7zzz9PGzduZL/TR44coc6dO3OAlWCggdF1rVq1XFlhysoI\npVi4cGH2JT9s2DDXddkRBOyMgKlGWJ5AybIjT0TkWBCwLgIvvfQS4Yc5WAje++67j0e+GLWiMx0M\nQuSmmjVrUr58+Xh9epUqVQhR1MaOHUsI5gJ3m978AQSjbMlDEDAbgbAKYLMrK+UJAoJA4AggspIR\nXQmRzeDLHa5Lg+HLHfO/S5Ys4VE2XMy+/PLLLPRhmAXLfdCgQYMCr4TkIAhYAAERwBZ4CMKCIGBn\nBHzx5Q6DKoQf9STEA4cQdydEcdq/f7/7KY5rDFW3kCAQSQhEhACGQwn0mgMlxE29oqIA+eKb2tey\nYNUJ4xE4uggmIe5rsINQ/PLLLxxBJ5rrnz17dnrqqacCflRYPoO8ooF8eV/wbnkTwPC8lixZsoDb\nLwT2H3/8QQhGES4KRZv0py6haL/+lI+04cYABoL41mIKIxAyq/1qqgHogTAa7nsh4LAmEdaYgdLq\n1asJDzCYgg2qMyypKF26dKDsxbgfPpwrV64c41ygB+fOneMPGIxtgkV2qz+EZsWKFQOufvLkyXl9\nbJIkSQLOK5IzCFb7nTt3Lnec06ZNGza4QtEm/alMKNqvP+UjbbgxQAcAHcIGDRr4y3qM9Ga1X9sL\n4BioBXgARwOZMmWiYHqHunr1KjsQgFOBYBKExLZt24KZJfuFzpAhQ9AsWsEctBPdunULeITjWdFQ\n1B/RoeCkpEmTJp7FybFCwMq+3F9//XVenlSqVKmwPatQvJP+VAZ+3YPdfv0pH2nDjQF82sNqHt8c\nO1BEqKDtALTwKAjYHQHx5W73Jyj8Ww0BEcBWeyLCjyBgUQTEl7tFH4ywZVsEAp84tW3VhXFBQBDw\nFwHx5e4vYpJeEIgbARHAcWMjVwQBQSAeBMSXezzgyCVBwAcEkrytyId0UZEE1nNwMPDAAw8Erb6w\ngoXqDg7rg0mw9syRI0cws2TrwWivP+Ije65LDSrIEZQZLF4Rx/vpp58Oe63glxptDN65wkWhaJP+\n1CUU3y9/ykfacGNw77338iqW9OnT+8t6WNKLFXRYYJdCBQH7I7Bw4UJeNQDHGUKCgCDgPwIigP3H\nTO4QBAQBQUAQEAQCRkDmgAOGUDIQBAQBQUAQEAT8R0AEsP+YyR2CgCAgCAgCgkDACIgADhhCyUAQ\nEAQEAUFAEPAfARHA/mMmdwgCgoAgIAgIAgEjIAI4YAglA0FAEBAEBAFBwH8EoloAX79+nRCNxRvd\nvn2bEMnH+HlLY+a5f//9l8CvN/rnn39cfGI/XJQQZk6n08UncMVxOOnnn3+muPBKqC7h5FvK/j8C\nCMGHdykuQjCUUAZ8wzuEtumNQv0OxVc2+EF4xlu3bnljLSjn0H4RajUuMr6d2AKLUBFiTcdFoYwb\na3EAAEAASURBVMYgrnJ9PR+VAhhCt379+tS1a1cqVqwY7du3LxZeiKZRqFAhKlOmDP9+//33WGnM\nPNG3b1+C5yFvVLhwYRef7dq185bElHMJYbZs2TKOkWtgunPnTlP48lZIx44dqW3bthzS0VukqoTq\n4i1POWcuAjdu3OAwn8ePH49V8K+//kolS5akDh06cDtGVK5gU5s2bahVq1aUM2dO2rVrV6zsQ/kO\nJVT21KlTqVq1aoToUBMnTozFW6An8M3E97FZs2b88+zkoOODuLxGW580aVKgRXq9f9q0aYS27I1C\njYG3Mv0+h3jA0Uaff/65PmLECK72Z599pjdv3jwWBOrF1dWIM9b5cJzYsGGDXqBAAf3FF1+MVbzq\nGOgFCxaMdT4cJxLC7NVXX9VXrFgRDtZilKk8OLme+c2bN3UVyi7GdRwkVJdYN8gJUxHYv3+/nj9/\nfl0JPx37noR3bd68eXx65syZXp+x5z3+HK9bt05v374936Li8OpK0MS6PVTvUEJlq44JY6NGqLoa\nnet58+bVlaYgFn+BnFDxzfULFy5wFs8995yOb5Q7gUfVAXE/FfR91bli3GvVqhUrbzMwiFVoIk5E\n5Qi4bNmypBoonTlzhmbNmkWVKlWK0XGBauXixYuEXtvLL79M3nrYMW4I4QHUzqNHj6a4PIaCN7hf\ne+mll2jIkCGEnmc4yBfMjhw5Ql988QU9//zzpBpoONjkMrdv307FixengQMH0qJFi+jNN9+MwYsv\ndYlxgxyYjgBcT27dujVON5hHjx7l0TEYQ3s/ePBgUHl0zz9btmwcg9a9gFC+QwmV/eWXX5LqsJOm\naZQ0aVJSHRU6ffq0O3sB7+O7BLe1IG/4oq1DRY62jm9sfNMEiWUG2r7333/f6+1mYOC1YD9PRqUA\nNjBas2YNC1oIMHfCi1OuXDlq2rQpNWjQgH9//vmnexLT9tEBGDVqFAtZb4X+/fffrGrr168fPfzw\nw/zCe0sX6nO+YAY/y3Bb2Lt3b+5Q7N27N9Rsec3/ypUrNGfOHMYN+506dYqRzpe6xLhBDkKOAAQa\n5lrxUwMNVvvifY+L8FzTpEnDl1OnTk2YKw6UMI+J8jGF5Z4/8k2WLFkMIRPKdyihsj2vB6v+Bn5K\na8SC3Tj2lj/8UpcoUYLb+Z49e2jChAlG8qBtod6Oi0KNQVzl+ns+qgVw//79aePGjYStu5EAHIrD\nz61S3VDVqlV5HgOO580mpR6nY8eO0erVq0mp03j06DlyLF++PI0bN457o5jTxqgeDcRs8gWz6dOn\nU40aNXjU8sILL5BSR5vNJpeHYBtq2oGU6ooGDBhAu3fvjmGM5UtdwsJ4FBc6f/58yp07N/+82Wx4\nQgPhbLQDbDNmzOiZxO9jCBTw0Lp1a+7sGvkjIwRdSZEihSvPUL5D7nXzVrbn9WDV36gcBK77iNZb\n/tDIYQ4cATLUFI/pbT3UGBhYBLqNSgEMoxu8FCAYV8FYAKoag7777jsWvDhGbxsqn6JFixqXTdsi\nysyYMWN4pJYrVy6OqmSofQwmlixZ4jLOMnp9UM+ZTQlhhhEMeqzXrl1j1qASxActHIRy1bwdFw1V\nGni75557XKwkVBdXQtkxDQGoMr/66iv+wbgqIcIUw7Zt2zgZtspOIqFbEryOdxY8oHPunj/Uu54C\nPpTvUEJlY+CAbxYs/KEhO3nyJD355JMJ1s/XBFBt45t5/vx5vsUbvq+88gphAAEKR1sPNQZcsSD8\n/V/qBCEzu2TRqFEjWrlyJTVs2JAF8MiRI5n1Ll26sGUfRmfKgIJq167NczuNGzdm4Wd2/TJlysTR\nZlAuetjff/8998AhaGH5/MMPP7B6fOnSpbw9depUSFQ9vtQb6mVvmKGz89FHH/FHq1evXvTss89y\npwa96Dp16viSddDTwAIezx/PF3P9U6ZM4TKs9vyDXvEIz9C9XXTv3p0gBPD+QQh9+umnQa09LIyV\n4RFrdLAMBiN0kBnvkC9l9+nThzU8UL1jHyrhYBK0btC4YSSMOWZo4tzxBw54BrBEvnTpEi1fvjyY\nxceZlzv+ocYgTib8uBDV0ZAw+o0vfih6kBgBJ0+e3A9Iw5P0t99+o5QpU5LDEV6lhi+YYW0iBHC4\nCXwAM3RuvJEvdfF2n5yzDgKw3fC08QgmdwnlH8p3KKGyMa2G7xfmp0NFCfEA9XQ4NHJGfc3AwCgr\nMduoFsCJAUzuEQQEAUFAEBAEgoFAeIdLwaiB5CEICAKCgCAgCNgQARHANnxowrIgIAgIAoKA/REQ\nAWz/Zyg1EAQEAUFAELAhAiKAbfjQhGVBQBAQBAQB+yMgAtj+z1BqIAgIAoKAIGBDBEQA2/ChCcuC\ngCAgCAgC9kdABLD9n6HUQBAQBAQBQcCGCIgAtuFDE5YFAUFAEBAE7I+ACGD7P0OpgSAgCAgCgoAN\nERABbMOHJiwLAoKAICAI2B8BEcD2f4ZSA0FAEBAEBAEbIiAC2IYPTVgWBAQBQUAQsD8CIoDt/wyl\nBoKAICAICAI2REAEsA0fmrAsCAgCgoAgYH8Ektq/CpFdgx9//JEQt9idHnvsMfr11185lm1iY50i\nTugPP/xAmTJlcs/a5/1r165xkO8UKVL4fI8kFATsgMA333wTi00EtEesbcSPTmybi5VpAifQ7hFP\n+MEHH0wg5f8vx9cu//33Xzp58iTlyJGD6/H/u4K3Z/CMGMD4dmXIkCF4mUdgTjICtvhD7dy5MzVv\n3pxeeukl1+/69es0fvx42rdvH129epVef/11rsX27dtp/vz5PtXot99+o1q1avmU1luiV199lXbt\n2uXtkpwTBGyLwJ07d1ztrHTp0vTss8/y8bx58+jNN98ktLFQU4cOHbiIrVu30vTp0/0qLq52ie8F\nOu6jRo2iihUrUpcuXQid8GCRJ8+XL1+mZs2aBSv7iM1HBLANHu2IESPo008/df0eeeQRevnll6lo\n0aJ06NAhFsQYza5fv55OnTpFt27d4lr99ddfdObMmRg1/Pvvvzk9BLAnXblyxXUvrn399deED9Lt\n27fpyJEjtHfvXvrzzz9j3IaR+E8//cTnnE4n32Mk8Fb+xYsX6fPPP6cbN24YyWQrCFgGgSRJkrja\nWbly5Wjo0KF83Lt3bxePGCF/++23rmPseHvXcR4jzj/++AO7TLgXwumrr77iYwjB48ePE9oOCG0Q\n7Rhtr3z58tS+fXs+j7+zZ8/ShQsXXMfxtUtXIrWzdu1aWrhwIX355Ze0aNEi2r9/P/OE7wrI4AX7\n6NAb3w98I/bs2UNHjx51CWvwjlHuwYMHXW09Pp6RJwijYXyj3Em+BUSignZ/Iyy6DyEH1RIIKl+o\nwwYPHkx169al3bt306VLl1ioolGgQeMYgnnx4sWUNWtWOnfuHK1cuZJu3rxJVatWpUqVKtHhw4dj\n1XbDhg38wUAvGWXWr1+fBS/SFytWjNwbpHEzGjc+DEOGDOGGiXvwQfnwww9jlb9jxw5OV6VKFe6B\nr169mrJly2ZkJVtBwPIIvPPOO1S4cGEWativXbu213cdghztpmDBgtz+mjZtSp06daKGDRtS+vTp\n+b2Hdqtv37709NNPs0AbO3YsCykIOHS4kQ5teuTIkfTcc8+xOhrt/9FHH+Vz8bVLdyDRzqBFg1rY\noNdee41at27N2rMaNWpwGwbPo0ePJoz8wTdGsDVr1mSBjXY6depU/u6gU58/f37asmULd1CSJUvG\nbd+d527duhlFUa9evejnn3/mTgbU6RMnTuROBr4Z0f4tEAHsek2su/PWW2/RAw88wAzWqVOH+vXr\n52IWDfvEiRPcsNGjhADOnTs3QSUEIZg6dWp69913uUFjdNyiRQtudBiFYhTtTk2aNOGGjZ7xsmXL\nuNHiYwAVNxrp+fPnqXLlyj6NXlGmZ/novWfPnp2ef/55atOmjV9zW+58yr4gEC4E0N5efPFFKlKk\nCAsRCGBv7zr4q169OqHtQmuEDiwEMEbDkydPppw5c1L37t0JQhgjbWiYZs+ezdcgpNA2ly5dytU8\nduwYC3GMXEFz585lgedru8TI130kjTyeeuopFrrY90YYkc+YMYMFLb4V4NUgCE2o41etWkUbN27k\n+nvybKTFwAF8oxMAQrvHaBjfLPkWyAjYeE8svZ0wYQILPl+ZhAoJwnbAgAGuW7JkycJqM4yaQYUK\nFXJdM3ZgYILeL+a5IDwx74XeLbboGaPXCwEPtbQ3MtRocZWPXvG4ceO4Z408MF/90EMPectKzgkC\nlkTgiSeeYL7Spk3LwjSud/2LL75gAYzEMNq655576Pvvv+d70RZBsKHAuRUrVvBx5syZeev5hzQF\nChRwnW7bti0LdV/bJUbYmzdvpjJlyrjyQGf6ySefdB0bO0YbxjFG52j/aPfubR6dDxA0cTDsio8w\nbYUpqh49enAytHd0xOVbcBc1mQOO7+2xwTWojYzGYexj1Js3b14WmgsWLCCMmvHhQEOEGhgEAy5v\nhJ4yhGTy5MnZaANqaU3TCAYhw4YN4563UR7ux8cFPVoQVM+guMpfs2YN9/YPHDhArVq14vkovkH+\nBAGbIhDXu47Rr2GwBfXrd999RxkzZuRawpoahOkgqHnRRiHsDOGO9uZOmAvGCBmEeV+0Z6h742uX\n7ve3bNmSNVqYKkLHoF27dtSnTx8efSMd1NpGG8bIFAR1MwzQ1q1bRw0aNHB9Y3DNk7+4zuE8Rvf3\n3Xcfd7ZRT4x6YQwm3wKgIyPguyjY+B8vMwQfjEUqVKjAc0VQb7399tushoaAhIEIVMqlSpViVTXU\nybly5fLakDACxpwxVGcg5AmVNOagYMCFuSDMMRuEeahBgwbxXFi6dOm4MeOat/JhhAHVOOa2oC6f\nM2eOkY1sBQHbIuDtXU+aNCkLGQhLGF7NnDkzVnuDKhvTSTCMglEi5kZBWCZUr149bnM4xkgT7Q/z\nsdBAQTBCDTxmzJg42yXuMwgjX7TRxo0b8zwwvgcY6WJ6CQL9hRdeoGrVqtHjjz/OS61wX6NGjbhT\nsHPnTh69Ix1+cZEnz0a6NGnSEEbs+OagUw+bFCxNwhyzfAtUZ0Y90ODZohuoy9ZUBNCYMCqFuggq\nIYyEjV425pygWnYnzEn5u5YRRlloTHFRXNe9lQ9jMHeDkLjylPOCgJ0Q8Pauo61hhOlt1GjUzdt9\n6OxCYLmTIQAh3A2Kq90Z1z237m0PhpkY3eJbAWGM8tzzxncFvKED4At549m4D3nh2+RZJ3d+jLTR\ntBUBHE1PW+oqCAgCgoAgYBkEZA7YMo9CGBEEBAFBQBCIJgREAEfT05a6CgKCgCAgCFgGARHAlnkU\nwoggIAgIAoJANCEgAjianrbUVRAQBAQBQcAyCIgAtsyjEEYEAUFAEBAEogkBEcDR9LSlroKAICAI\nCAKWQUAEsGUehTAiCAgCgoAgEE0IiACOpqctdRUEBAFBQBCwDAIigC3zKIQRQUAQEAQEgWhCQARw\nND1tqasgIAgIAoKAZRAQAWyZRyGMCAKCgCAgCEQTAiKAo+lpS10FAUFAEBAELIOACGDLPAphRBAQ\nBAQBQSCaEBABHE1PW+oqCAgCgoAgYBkERABb5lEII4KAICAICALRhIAI4Gh62lJXQUAQEAQEAcsg\nIALYMo9CGBEEBAFBQBCIJgREAEfT05a6CgKCgCAgCFgGARHAlnkUwoggIAgIAoJANCEgAjianrbU\nVRAQBAQBQcAyCIgAtsyjEEYEAUFAEBAEogkBEcDR9LSlroKAICAICAKWQUAEsGUehTAiCAgCgoAg\nEE0IiACOpqctdRUEBAFBQBCwDAIigC3zKIQRQUAQEAQEgWhCQARwND1tqasgIAgIAoKAZRAQAWyZ\nRyGMCAKCgCAgCEQTAiKAo+lpS10FAUFAEBAELIOACGDLPAphRBAQBAQBQSCaEBABHE1PW+oqCAgC\ngoAgYBkERABb5lEII4KAICAICALRhIAI4Gh62lJXQUAQEAQEAcsgIALYMo9CGBEEBAFBQBCIJgRE\nAEfT05a6CgKCgCAgCFgGARHAlnkUwoggIAgIAoJANCEgAjianrbUVRAQBAQBQcAyCIgAtsyjEEYE\nAUFAEBAEogkBEcDR9LSlroKAICAICAKWQUAEsGUehTAiCAgCgoAgEE0IiACOpqctdRUEBAFBQBCw\nDAIigC3zKIQRQUAQEAQEgWhCQARwND1tqasgIAgIAoKAZRAQAWyZRyGMCAKCgCAgCEQTAiKAo+lp\nS10FAUFAEBAELIOACGDLPAphRBAQBAQBQSCaEBABHE1PW+oqCAgCgoAgYBkERABb5lEII4KAICAI\nCALRhIAI4DA+7V9//ZX+/PPPMHIgRQsCgoAgIAiECwERwGFAfvPmzZQ9e3bKnTs3PfbYY1S0aFE6\nevRoojnp0aMHDRkyxK/7v/vuO9I0je7cuePXfYlJ/NZbb9E///zDtz755JMB1TUx5cs90YnAzZs3\n+R3PlCkTtzO0tcyZM1PDhg3p6tWriQYlrnf4888/p8KFCyc63127dtHTTz+d6Pv9vbFEiRK0aNEi\nf2+T9EFEQARwEMH0JSsIoqZNm9L06dPphx9+oB9//JFat27NHwVf7rdbGgj4wYMHk9PpZNZ37txJ\nefLksVs1hF8bI4DO7cWLF/l3/Phx7nS+/vrria6RvMOJhk5u9EBABLAHIKE+hCD6448/6J577uGi\nHA4HvfTSSzRjxgy6ffs2n9uxYweVKVOGMmbMSF27dqW//vqLz3/wwQc8ak6VKhX3tL/44otY7P70\n00/UqFEjeuCBB6hAgQKEvPwl8Pjuu+9SoUKFCKOHQYMGuQQo1OboQKRPn57q1KlDR44c4exPnTpF\nlSpVojRp0tATTzxB48eP5/PNmzfnLXi5du0atWnThr7++ms+t337dub1oYceogYNGtCVK1f4/Jgx\nY2js2LFUoUIFrkeLFi1EVc/IyF+gCDz44IPctn755RfOStd1Gjp0KI+M8a4PGzaMcA40f/58evzx\nx+nhhx/md/7GjRt83v0dXrlyJeXPn5+yZMlCq1at4uv4Gz58OL333nuuY5SBTjcorrbiSqx2vvzy\nSypZsiSlTp2a2/qePXvcL/N+ly5daOnSpa7zH330Eb3wwgv8HWnfvj23HbTFUaNGudL4uoO2iTaL\n7wi+J2i7v/32G58zsENe+D4Bg/hwxHdh5MiR9Mgjj9C6devirT/yKliwID+P0aNHU9WqVZnl+PL3\ntU6WTKcqJmQyAkpdrCdNmlSvXr26PnHiRP3ChQsuDi5fvqynTZtWnz17tq5eel0JOV0JM101SP2+\n++7TDx06pP/88896p06d+H7c2L17d12NMjkPpG/btq2OfJCHUpe58nbf+fbbb/GV0ZXQdz/N+5Mn\nT9bz5s2r79u3T1dqMV2py3XVQeBr9evX19WInfOfMmWKXrp0aT6vhLWuGoyuGqm+YsUKPUmSJPr1\n69d19dHicsCPEux61qxZdSW0dSWE9fvvv1+fM2eOrkYnuhLUrvr07duXMfjss88YG5Q/d+7cWHzK\nCUEgPgRUZ5HfveXLl+sbN27U8T6hvSkhrKsPPd+qOrV6zpw5uV3t37+f3/u9e/fqyjZDVx1d/fDh\nw/wO16xZU1dCle8x3uHz58/rSjjrSvDqx44d05X6WEc7ALm3SRy//PLLuhLu2OU03tqKGlnrSphz\nmsaNG3N61VnXJ02a5MqXL/73h/aN9m6Q6hjr77//vr548WK9XLly/P1Qwl5XQlw/d+6ckcy1LV68\nuL5w4ULXsbGjtHJ8j+qA6EpLx9+TXr168eUaNWro8+bN4/3ff/+d27Dq9Otx4YiESu2vV6tWTV+7\ndq2uOtlx1v+rr77ido9nA77V1JyuOjZcVnz5cwKb/qHnIhQGBCDcXnnlFX7B1ChYHzduHHOxZMkS\nPV++fC6OIJzwEcDH5MSJE3xe9UBZKBuN1WjsEHjICy8v0uNXtmxZXangXPkZO/EJ4FKlSnH+Rlp8\nOMqXL6///fff3HE4ffo0X4JAVT1aFuJqNM7bf//9Vz948CB/vM6cOcPnIOjxQQMZHy/U1xDeOI8P\nBNKpuTkdAhgdDINUL1t/++23jUPZCgI+IWAIYGVroeOXLFky/qijPRlUuXJlXY3OXO1FaV70N954\nQ1daJz1lypQ6jiE08O4bZLzD06ZN43ZhnEdH2RcBHFdbcRfAzz77rK5Gntz21TSOrqaujGJcW3Ru\n0YlVc906BLUarXKnFx1gCC41IuZ6oC7eKC4BjHqp0bcLE7TNXLlycRYQhOiEg5YtW6Y/88wzvB8X\njrgIAfzJJ59wOvzFVX90/CGoDZo1a5ZLAMeXv5HejltRQZusl8CcKFQ56uUn1Runb775hlavXk2v\nvfYaq53Onj3L1wy2YDQClQxUUUo4k+qtk2oMpBqZSy1spL106RIbnaiXldMhrepV0u7du0kJNFZ7\nQ/WN/fhICWdSQtiVBPuYrwav9957L5ePizDiUg2Q1GiXoPpWvW5WTffp04fn2aDKjotQBlRsBmXL\nlo1VfSgHBBW3QWrk71LPG+dkKwj4igCmYaD2PXDgAE9/YD7YoO+//54w5YG2gh/2lYCm5MmTs3pX\nCRyehqlduzahbboT2laRIkVcp2DU5Av50lZUB5VUZ5a/BTDWdFc1G2VAPQz1rhJupEb3pDq0ZEzn\ntGzZkjp06MBqX9WhJdWBMG5LcIvvCObKDUzQrqF2BlaYKoJ6Gt8wpVkgY4opLhyNwmAAZ1Bc9cfU\nlLsRW7FixYxbuGxvz8mVwKY7SW3Kt23ZXrNmDY0YMYLc52/r1q3L80ho4GhA69evd9UPHwt8OGDR\niRcegleNkAnzPRDa7gTBjDlYNB6lxuZLeNlxrlatWoQ5IxDmtOIj3Hvy5EkyPijID5afmD+7desW\nKXUyZciQgbNQajCqUqUKKZUZz5nhQ4WPlxo9QLsSZzEoA1afBiFPpVonNbrgUxDuQoJAMBGAhTHm\nYtUUDb/fjz76KOEjr7Q7rk4pBAs6yeg8QhjAgAttYeDAgWyrsWnTJhdLmB+G8DMIHVSDYNvhLvTQ\nDtFm8I770lbUFBW3dbQ3dAIw76zUv7HaLgQg5p6R3hCGKLd3795su7FhwwbmW00p0YsvvmiwF+8W\ngwMIc9xrEDrG4B/tEh18fMewmsOY144LR+N+dNJB8dUf5aqpJk6HP/eVIQnl77rJZjsyAjb5gUFY\nwcACy4aUiowbOxqQUtfyS48erZrnJaXmZc7Q68OLiBcXS5cgfCHY8KKih+xOGN0ifxhQ4QMCoyZY\nHCNvfCzwQcEPhhkGIV/3HwzBMKrF8gTwh2tK1cSGKxiV4iMG4xTwgGUX6KkbBIOJFClS8L0wHAN/\naHgQyMjLnVAG7sfHDbzCCA0fCXQWhASBUCHQuXNn7kz279+fi1DqVFJ2CAQDK7zTzz33HBsQwugI\nbQ2jQbyXag44FkswElTzxdye8b67j1JhcKSmmThPdC63bdvG90PAg7y1Fb7w3x86CTNnzuQOeatW\nrbgNeevQovOOjizyx+gUpOaAqVmzZiwswTdGsnER+HFv/zAQBW/gHZoA0IIFC1j4GxotCHp0SNT0\nlqu9xoWjZ7nx1V/ZxBCMzbZs2cK4KxW063Zf83fdYJcd9VCFTEYAhlQwcoIhlhJOuhKIuupNurjA\nXBIMrpRaVofRA4yxMA+lhCcbemA+C/OyMBKBIYQxB4wMkDeMlpTA5flWzG95I2MOWL2nPPdqbJV6\niY1O1EiWjVXSpUunqw+AjrldEOZvMAeGOSbMQavROp9XHzauB3hUHzGeQ1IfJL6GOqCumMM25s9w\nQVln8jybUk/xvLdhKII54DfffJPvxZ/nseuC7AgC8SBgzAGr0WeMVDCygq2Emprh9qPWBfNc6lNP\nPcVGTZhPBcFOAW1TdWK5PcFIC+T+DmPeEoZYyoJax7ytMQesBDfPm6pRI2+VQHUZYcXVVtzngJXW\nS1dWyHyv0oqxgSMX7uVPCUSeLzYuoa3Wq1ePecf8KwzIME/sSZgDNtq9sVUrMjgZDCzxDcqRIwfz\nAWNMg4APvj0w9jII36G4cAQPqqNtJNXjqj8SwLAMmOMe2IGgfFB8+XMCm/5p4FuBLxQGBOAFS71Y\nLnWxOwsYieKa54hQGVqxKhgqrvgIKi+oeQNR5ULtrQxXeN7XsyyMEAw1t3EN/KI8qJ89Cdcwl+tJ\nqCdGxwmpxT3vk2NBIJgI4P0EeXtH0ZZURzTO4qDpwQgYdhqeFNe98bUV9zwwMke+UDH7S+AJfgeU\noZa/t3J6qOIx9+tP24wPR3cmvNUfKnzMA0OLB4JGYerUqS7tAc75mj/S2oEsIYCNPkAgwsIOYAuP\ngoAgIAgIAt4RgPob6vKOHTtyp19ZY5NagsX+BrzfYf+z8Q+jglw/9ObgVAHGDzAIMPwgo6cDb0lC\ngoAgIAgIAtGJADRnME6FISb21brhiBa+eMqmCmAso4HhAlQN8PLUpEmTWIZE0fnqSa0FAUFAEBAE\nMDiDxbdyXMLGb5GOiP8TCwEggnVz8HuMtaRw0A8Xh1irhiUygRDM9A01diD5yL2CQLAQQA8elqhC\nCSMg7TdhjCSFuQiY1X5NHQHDpyhUzzDdB0EIw1wfJu2JJeUWjZfkJPZ+uU8QCAUCWJ718ccfhyLr\niMpT2m/8jzPt+a+p7HszKPmtu8uX4k9t4lVlu5vh+EnK89n/1wqbWHrIizKr/Zo6AsbibuV7NMaa\nUKxzVab7ruAE/iKLke/zzz9PWDcn5BsCsG6ENxuoeyQykW+Y+ZsKaysjXSuD9whOHzBaSCzF1X5h\nZQ+bEax9j3bSX3uVnsIKg3gsscOFka7egeJJ7jrZAA+68palqaAWdiez2q+pI2A8FHhUgsB1J7hN\nw3xwfITlKvAK4/mDWTqWAQj5joDydcvLC9555x1STuT5RszPoxODxfDuHnB8z1VSRjoCas2rK7oW\nPCCpNZrswQ1zdu5en4KBA5a+qHW5wcjK9nloqoPjLnz1fftJVw5CrECam/AFP/q8D+nOq2+QfuKk\nFdizPA+mjoDjQgPDffSE4T4tLoI/YwgMT4KXKIziEvJv7HmflY7R04fnGYQg9LaWMNi8QgBjfSD8\nx4LgVg5uLhECEJ5q4Pv5008/ZX6CXbbkZ18E4O9XOWDhtZgq6g57SkJoTNhyYL1mz549g1Y5LEmU\nZYlxwPlIenJ260la9aqktXmONC/r6+O4M+Sntf59iNZtIOdwFQLxyayUZOigkJdp5wIsIYARwzIh\ngr9W/DwJgtdOqj4IO/h8hnNyLMnCYnnE7kRMYBiowdez4TfVs66JPVahiEhJ1ru/3/+gVEprsGPP\nbvr7/Hm6tWo13dy8lcYqn7iZJk4hx6CBzAPcwaFDICQIeCKAThoChBgOHhAXGnFchcxBQFOdIMe8\n2aTPmE3O1u3IsXQhaYlw1BEKbjXlIEirVYP0GtWJdv7f13soyoqEPC0hgNGLjgaC0Rl8nWKkgNE+\nfCFjVK/cvnHEFYwq4BUKARkMUnHI/hOcylPPb+qnhCd+OvYhVHH833nlr+3uObd0pAQuJb8HLn6I\ngLP6rfr+IjUqXITSFClGy9TIO9+DD9C3SZNQZtXBcXZ9hb6vUiHonQCjPrK1LwLoNKq4sKwaRnQh\n+EnGXC38KxtO+YNVO5kDjh9JTXnH0np1J71BXVKhwki5yor/BpOvQhBT+XIxSnWuWkPqw0JazWdI\nUx72hNRjExDMQUAFuaYPP/yQlL9j0jdvoWcGD6X3lPC9MWI0ZVCNaeSG9VT89r+U5vWBdMddsOJF\nvk8ZufwnPHlfCVMNx8b5xzLzvgNClgXtf8L2v2NuDG7V/F0t2+p/4gQbufSfOIHdTWLx+5h0D1Nl\nxd/+Y0do9K7P3e6QXUGAWEsDTQ1CSR45coTdNuK9hiUzAhYEkzAH7N4RDWbekZSXpmxq3Mk5/0PS\nns5PWoGn3U9bYl8rW5qcU94jfc4HpNWtTVrbNuT5bbIEoyYyYaoAxmhv69atXquHiB8wxopUghEZ\nh/fb/wU5q9Umx8SxpGa56N8H0tDgI4fp0YJP04stVP1Z0BqCNFVIVEuwGsccMKInGYR5aIQ4vFK5\nIo35/jKlhPAWEgS8IKCc5bsiaiFEJWw41q1bF68NB0LXIQKYJ6FDipi6bZUBoDvJHLA7Gr7va4UL\n3Z1/zZyJHO3bkpYzh+83hzglDMmSqCkuWErry1eRCtdGyiNTiEu1dvamCmDMcWIZEtSvnpbQ8Tk7\ntzaEvnGHWJqZVai+rzp2plTbN9LcXTtp2uVL9HSJYjRn0gSqWLEi7Zk0kVT0IlesXd9yTlwqd+GL\nHBDcG9asoDttO5J+8BBpRQrzsfwJAvEh4IsNBxzsG0723fOymw2HO+9W3Nfy5rk7P7x+IznfHkKO\n9yaTptq2lQjLlLTuL8ew3dFVvGFSa56pbJmoMr4zVQDD6QZiSw4YMIAw4o02GpryfprxwP20bcpk\nUqEGSYXnY6tnqPSsRFqr5uT8cBElEQFspcdiWV5CYcMhc8CJf9xYGgRDqDvVqtDnar3/I2ruHkEO\ndDW1xVNXic86qHfGsHJXccCdS1cQvTuNtAb1SGvUgDQ3DV1QC7ZQZkmhisTyAswBmkFYMgRL32gj\nfckycjg06rJjK3VVSyysTFrlSqTPmkv6mbOk5Yo7mLeV6yC82RsBmQP27/nBvz6WDkKoQdOI5Yxv\nqIEO1PufbtrEPvhrPPY43Zk+kxzNm5JWprR/BYQ4NZZSJZk8nnTlrlhf9RHpK1aR1uLZEJca/uyT\nwpJRBXenWbNmkQrsTE6nM06uYK2bPn36OK/LBe8I6OfUS7V4KTlmvGcL9Qr3oJs3I+eChbKOz/sj\njcqzZtpwyByw76/YxYsXWejCGv2KmlfF8jB81+FnH57EIIyhbatZsyY5mjUm5/yFRGoJk2PYIMt5\nrdKUZlDr24t49YcbBE5luIpOg6am8SKJYqigIWDjW1OLXqmQfwjoylWfc8hwnvNw92bjXy7mp+a1\nfPMWkK7U45oyuhESBKLZhsPKT3/o0KHsV79atWrMJr7TWHHRr18/On36NDtJge0NSCtXlpKon378\nBNG166TWP/J5q/3FUj8fPEzO8ZNIq1qFtPp1SDNJYxtqXNQal/9T2rRpCcZQMMhBDwr7eHCI14tr\nDiyJEfILAR1zGrlzkaNSRb/uC3diNACtSSPSP1wcblakfIsgYNhwwOkGppLcf8E2osQcMCykhRJG\nACNc9yVbCPUK16BYKoY46xDGnvP0Wv58sZYqwXuVfvpMwgWGIYWjX282LqO0D5Nz0LAwcBCaIr1K\nVKikIXRXr17NHm4OHz5MCBkm5B8C+p69pKtlR1qPbv7daJHUMIbQ9+4j/epVi3AkbIQbAbNsODCK\nE1/Qvj3tqlWr0ttvv01wjnLgwAEaNWoUNW3alFc1YEoRsXWNEXC8OaqBglP5JbijVmroXxyIN2k4\nLmrKQZHjuZaUZO7MGMXrJ08RfnakGCpoowLw1oRQah07dqS+fftSlixZaPbs2cZl2fqAgK6i4TjH\njCPHUDXPouIf25HYCXy9Omr+ehmr0O1Yh2jlGb7Fse78k08+4Y/yK6+8QlizaxeSOWDfn1SNGsri\nWUUlgk9udFzgcS9XrlyuQCu+5uRoWJ9I/bAEkQ0wixX19dbwpkudipxvqTXmCgNNucCE5i6WCju8\nHMZZutcRMBbajx8/nkPWwR8w9tmJRJzZyAVPBJwjx5CmhJeWJ7fnJVsda00bk75pM+nKUYeQPRCA\nsxu4O4WXqq5du9K9qgMYzEAJ9kAhurisXbs2IaIZgmJUqFAhoMpj/b+jVYsYeThnKr/Ta9YS+5WP\ncSX8B9rjj1OSOTPI8caryrnHVdJ37Q4/Uz5y4FUAI0YvVBeLFy9mq10I34TCBfpYXlQkcyoTevhn\nRqQSu5Om1udp1aqSviz6lo7Z9dnt2rWLVzZAiwVVJIxxsNTQTiRzwNZ6WlqVSkRHj5Hz2VbkHDaS\ndBVExmoEr18O5R9bqxizA+J8f6ZlVdQxVNAwrsB8r0FQX+EH2rFjB1WqpB6CULwI6Go9nq6shx3T\n340YP6eaWjfoxLyQ6hVbKfRZvA8iii8i5jYMbxDredKkSYQgH3D8YieCKtXdsMhOvEcir7A61gaq\nOL8IBLNlG6mA4kSPPspV1dVgzUo+nWM4+ACHyijNOW4iqdBzyoK6rlqK1YT5tsJfDAH8qAIUHlO8\nURo1EhKKHwGsXXMOVkuOXupM2n8vZ/x32OOqptZ+a6VLkb76I9I8VFP2qEF0cYkwlwgZCOOckiVL\n0qFDh2jEiBG2AkHmgK35uNABRyCFGPTHH3SnRx/SKldU2jK1TEitnrESOerUIlI/XYVf1ffuj8Ea\nvtnhnC+OIYBLly5N+MEIC/6af1G9HKwLhresHj16UOHC4hs4xtPzONCVqkPLqmJ1Vr+7Hs/jsq0P\ntZbPklM1Ml3NCYfzhbU1iCFmHtorz7i8cPsKwnnEnRYSBIKNANxbOnq+Qv9r7yrArai69pq58tti\nfIqFgpIipbSAlIgo3SUI0oiFlICUEgoiXQLSCCqIioCUdGMhZWK3oPJ9Kmf/692XOZxz7px7ak6v\n9Txz78SeHe+cmbX3SrXmHXJ16qbTDZqdHnS6mYjrM26+mbB5EXuqnH6DI4hh4sD+0dkZzKr9B0hx\nWXNgf68qIjmw1QGPHj2aBgwYoC3pEN4MEVTAmIX8IwCzffXuFp2j03+p5L0CQwe6tQipN1cl7yBS\nvOeIgAQJlt2GXL7JRKIDTqanRaSTQDATNl99mQyfmAewqFYQWScicc5irJDV1u3katpSu43adVO9\nu5lc4yaQYiMvJ8lrBWxVDCduZC7ZvXs3IcwZLCinTp2q44paZeT/WQTU778TrJ5N1pEkUrDzsz10\nZg+Wka6Bg0nBupsDvgslFgLwm/XnO4t0mMlEogNOpqd1tq9a/5o/39kT2GNrfFcfXjWyd41R9U4y\n7r0nYaRour93VqYM3hSL0okDwIBWrlxJpUqVojp16uhjZGkyeQHiGjgk89ihv7YMGMZWEDk3bNhQ\nuyDlZQV8vI044FrxzDPPZBk2nM+LFi2a5XwsT7hGPZfpf5aASbCdxEHnFs19vXZLMu6u6WTVUpeD\nCGD1iNSSyLIFbwYw3zJlymjDLAebiWpVogOOKrwxrdzAKhPJH/bs1VJCQhjMBMy0hrgHBEkf07nn\nnksX4PgMwchMWQcO/rdlwI899hitX7+eEFsU4eCgC0Yc2HgS8uVWqlQpSxc6d+6c5VwsT7hef4Po\n51/IGDY4ls3GrS29Cn5hIpEw4Lg9g0ANwwIa9hqVK1emAgUK0IkTJ/Q7HOg+uS4IRAsBLTErW4YM\n3nzpdM/HOF5CITLKl8sSHtO3bKyOM1jChy3aZKsDRsNWYG848vfv319n1Ih2Z7KrHzPic845J8uG\n+NRajJDdzVG6plg8r16czUr5fmkjkjVuK0k8NSS1ZWuUUJVqI0XgLxalYcJavnx5nQWnXbt2OqhO\npPVGej9W476bv+QvogOOFO3kud98/GHiYNXkmjyNTrdqm7gd54A2EJ87SbYr4F69etHq1avd7YAh\nI54oQlMKZSKgOOyZdjnq2IGM669PK1jMVpy2cv4iymC9iFDiIQD7DdhtIP4v/iOFKERq8SSokJC1\nx5eQradYsWK+p3VIRfEDzgJLSp5AtjWdcY3jPPsaa2nLY04QYZQvyx4meeM6flhII0uck2TLgK30\nVmgI4ivkAUUQdqGzCGDlS7mu0hZ0Z8+mx54Bxsv5RNW+/aRXxOkx7KQZJfS9I0eO1BnM8P8dTsge\nbz9g2JXYBfLp2LGjbQpU0QEnzc/N0Y4anInPi/LcSMShJV2DhmYG0njwATJTSP1ly4DPO+88wgZC\nqquWLVvSokWLxBXpzC9DHXhP+7yZs6afOZN+/wysghfwKhgiaaGEQgAxgX1XmwjMgTjBQoJAMiFg\ncAIRo0c3oh5ECuFUf/jRq/s67jPKJGnMfVsGjBf4ww/ZUo0JFpRr1qwhiKWF+EfAHzLEQjX79SaD\n/S7TlYzq1UjNeikza0qhgukKQ0KOG94LtWvX1n2DSyFiQkOnmkyE/v7KCUDy58+fTN2WvkYRAeO6\n64iweZD65x9SCDPJrk5UsgSZXTqScc01HiUSe9eWASOh8z88MBCMnOrWrasNOhJ7KLHpHVIMal+2\nBDSjjw0Cma3AqtFo3pR1wQspg1MuCiUOAjly5CBsIEiw2rZtqy2ik2kSLX7AifN7SuSemEi8wBti\nMSh2c6ITJ4k8GLDauYuoQH7CSjoRyYsBI/oVHJDtCNbQ8Xb5setXLM+53mbDtONfkTGgXyybTdi2\nYJCAxBOK/U21EUXC9jS9OrZr1y73ewyrY0izks2GQ3TA6fWbjXS0OmsbS+V8SW3fSWr4CCKOT23c\nVoKMrp0TymMlCwPu06eP1hXB+ApMF4meEQADgd3TmdQ335CaMp3MF8aQcWZ1kc54YOyICY3k12rh\nEjJYJC+UGAhcyoYsnklVKlasqCPbJUbvpBeCQOwQMB95iNTDrEA+xokY2GiUExsQJ8jWHYD4GsFB\nqFjRgFne1MGPdShKZohkjmcpKCelAKlvvyVXF64feugqlclsd78+H+wfLwZsGV8h9eBLL72krShR\nUevWrWn27NlZDDuCbSTZy2mXo+EjyWBwjTx5kn04jvbfqF+XXM1bk/r+ezJy5XK0bqksPAQQfANb\nMpPogJP56SVW33WcCA6PafiGyOTYEq7XVhAN4wiLHAHLKHUbmQ+2t+28a/QYMqdO5JjR20jNW0BG\nl066nNp3gIyWzcngFIfhxKPwYsBWy/fee6/WG7Vq1YpOnjxJs2bN0q5I1vV0+w8xK110IZkN6qXb\n0AOOF+HbDI4NrRYvJQMzTaG4IbBixQoaNGiQbfulS5emmTNn2l5LxJOiA07Ep5JafTI4sFPG6BGE\nBRYdPkJY5YJgZEvs6fIj59V2ExszGvAMKlyIXJwRyU3wiPn8C50lyWjWJGS3VFsGDNEzDLHgP4h4\nmEjqXbZsWXeb6bSjPvyI1Mo3yXxxWjoNO6SxGpyi0MURbFTb1pTFjy+kmqRwJAhg4lytWjWd/3fc\nuHE0bNgwNhq9TseARqakZCLRAYf+tGCLoSfCPCE2mFEIBYeADpPJbkyWK5PRvw/RqjcpZ86cWSuA\n2PqM+BkXoXqDobJibyFkU0Le4VDIlgGjgvr16+stlMpSrSyyY7hYgW/2fjxhregSAXNtAHFXDVJL\nXyGDI4MJxQcBhGqF1fPOnTt17PZbb71VdwTBLuDJgAQNQqmLgOvpUWTcXpJcI0brQRo1a5DeOBKa\nUPAIaFFyzkvo/9jGxU3/+Q8pTiKh1q4jo0J5UnDr41WxevkVUsVZh4wAImFERPRiwC+//LJOZ3bo\n0CF6//333W1jB7Gho2GIBT/FeIfJ8xqox4Hi/I8IHm6US8/VvwcUAXeN5k10Mm4FfYjHDDHgjVLA\ncQTwnoLpfvfddzqk4+LFi/XK2PGGolih6IBDAxc2GPCFNTo9SGZnji7G4RvVmnfI1bEr0U15ybj7\nLjI45V52CedDazG9Spsjh5N6aR7RVVeSCe8Pxpf1s2R0fjDTE4QlxeaYUSGD4sWA87CBEXQvN7Hs\n2/IjtGq8xsO3yjoX6n8EiR81ahTt3btXh8pDfGmkTIN+CkZf55+xTgu13miUd63foINMmDOnRqP6\nlKsTBljIZqKWv05GqxYpN75kGhAyIc2YMYOsgDqIZNekSRPHhwAPCUygPdO2OdWI6IBDQ1Jt2UYG\np/yzDIEggsamunch2rGTXKvXkpo4JTPjEDNjpAO0yobWUnqWxqLC6MZYniFPEb9lkGVdC+W/6VkY\nMWTBhJGIGBFomjZtSt+ymfWPP/7oiB8hZuKgfv366RU1kjt89tlnOs3g8uXLPbsS133FM0nFKffM\nQf0TJnF0XAEJsnGjZTNSr7xGCqb+QjFHYM+ePQQp1o4dOzTzRQcgksb5adMit2GYMGECwUMChPpg\naY1c3BBtgxE7SWAO0K0JBYeA2ryFjIoVshSGoRFit2dwulRz4Vwi1nW6XpxDriYtyDVthvbhz3KT\nnIgZAl4rYKvVp59+Wr9QWJ2++uqrmhljhYq0ZpHQwYMH9cuK7CdXsmN0hQqZP5g777yTXnnllUiq\nduxepEdzDRuRaVqeL59j9aZDRQaSWRe5hdSbq8gQi/GYP/L/sJ4KgTewerz99tu92kdGpEjpa47F\niwn6n3/+SdOnT6f9+/dzFrmLaMiQITp2ADIvCcUeAUSBgp8rlfJ+5r49Qehc/V7yu6m+/DJTRN2r\nL9Hll2fqimtUI9hzCMUOAdsp5vbt22no0KH02muv0RNPPEGPPPJIFp1wOF1s0aKFNg6BPhkfiE6d\nOmn/YlhdN2/ePJwqHb9HLVhElOMcMtmkXCh0BEykFFv8cqZpf+i3yx0RIADmCCnWzTffTDdyijdI\nsC5k0RlS/hUvXjyCmr1vRWKHEiVKECyrsUq97777WP3IsXgdJOiAjx496mCNqVuV2raDjNKlQgoQ\nhMkyfF7NlxeyzvhBoqPHtCfD6f4DSW16l3SQitSFLGFGZsuA8fI+//zzOon3HXfcofedcEMC0920\naZPW/8K3uHfv3loHDP/EwoULxx0UBV8wFqGaMEMXCgsBoyAHgLj+OlLvrAvrfrkpcgSQexerUTBF\nTG5hW+HE6jR37tz02GOP6RgBa9eupa+++ooOHDhAXbp0oUaNGkXecY8asIrHREIoMAJqy1YiG/Fz\n4DvZjYZF/UgpavZ9gsxli3Wcexe7Xboac7YzTnKgPjoYTDVSJkwEbEXQzz77LE2ZMoXmzJmjsyGB\n+TZu3DjMJrxvQ5g8SzxWs2ZNwhYMHTt2TGdl8i0LsbYTBmLqv/8l19CnyXy0JxksyhMKHwGTjbBc\nrEOnFMrbGT4asb9z69atBDUSsiDB+AoTXUidIqXu3bsTNqimwHixugaTnzt3LhUpUiTS6r3u14yB\nmYNQ9gjgu0X7ORrTkyxKjpAQaMJgd0KCSyHb/cDlBslnODNPphU13JquvjrCVuR2TwRsGfDfbETz\n3nvv6QAcsKRcunQpIcUZdEzRoLFjx+qk3I8//rjf6uGqBL2xLyF8ZgZn5omU1ITJZBQvRkblSpFW\nlfb3Y0bNprGEmTkMQIRiiwC8GBYsWKDVRgiiA31tPgftGSAhwwa6LMgsM7/99ht9yXpHX/rll1+i\nYkXt207KHiPbz61FCBHpnCSDv7UIsUi8acngmrWZMY/z3Mj6YnZp4rjHTrfpZP+TpS5bBgwXhjZt\n2miGi9Ul3BhgXQlxllOEdIfQH4F5QhcciCD+wuZLyFUMw6lICBaEikOKSbSrSFD0vtdsxSKs+Yso\nQxiwNzAxOIKtBfS0iIoFK2W4/Y0YwRlhokTBTKA//fRT7Wro24XDhw9rt0ff8+IH7IuI/bF2P6pU\n0f6iQ2ehVsKm4IYDlyb2L1aTp2bGSIBLExt/GQlusQ5vG8umoFy5ctp+wSF4IqrGlgHDaANMcdWq\nVbryvHnz0rZt2yJqCDf/y+G6+vbtq427cAwGjJUtDLCQhSkepH7+mVxjxpE56pnMWJ/x6EQKtqlX\nvjNm6QwkekWcgmNM1CFBfIuPzZtvvknwvX/rrbd0KFm4F0aDgplAwzcZmy8hYIjdBFr8gH2RynqM\nGMaKGaLZNfACJuvdoZ/RIRvZ1ziDN8UTPLV+I7nmcHCKUc+RAQvqWjXJYF6RiDR69GjtdYMFH/gQ\naN26dQR1DVQpPXv2zBL7IhbjsDXC6tChg9YdIY8o9DsPPfSQI2HsYNgFQqStTz75RH8k9u3bpyP2\nLFy4MBbjzdKG6xkO39aogZ7hZbkoJyJCwMAqGFblQjFFAJNlMGF4MoAQF3rMmDGO9gESLATiAMEV\nCZuThP6LH3AARFn3y7oAMtiNKNZk8PM2695HGZPH6xStHLeRXH0H0OkHu5CLQ9KqX3+NdZeybQ/x\nLH7lPkGieznjBYlu27ZtCak6EUgGcdQhNYo12TLgKlWqaEd7hLRDQGrMpK8PI86l72C+4Zy60CV7\nRtlCvE3EqT1+/Lhv8agfu15exvkh2cCAXWeEnEfAQILsrzmP8qHDzlcuNfpF4KOPPiKI2cDEQPjo\nOBEoAyuHXr16aevkQoUKETbEmx4+fDjb6XCQeqGYIqA2s41FpfjbWBjMG8wOD1DGkgVk9uDQl599\nTq7729PpfgPItWFjQgTmgToGvGfRokXagPC5557TAWtwvmvXrlS+fHlavXp1TJ8fGrMVQe/atUsn\n9H7yyScd7RDyCkOPDJcFS58Lxjtv3jwtDnC0sQCVKV6Bw+fXnM7GV2c+VAFukcshIgCRldG8KeuC\nF1LG8CEh3i3Fw0UAKp3KlStr5ogEDTCibNeuXbjVue/zlGBZk2gYbMI1CRIsrCicItEBB0YStivm\nxHGBC8awhFGiOGFTD/cgbVuzajUpdmfScahZX2wUzUwQEsMu6eA0MEzEIrJq1ap05MgRbUT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gsvtJqW/4JAZjCOIreQenMVGQ3qhYSI4ri50PUahQuROWcmGfw7TheCpTOiYCFDGKLYIRQlCAy4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\nHwT+H3+Bv8VJdwumAAAAAElFTkSuQmCC\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%R -i X,Y -o XYcoef\n",
    "XYlm = lm(Y~X)\n",
    "XYcoef = coef(XYlm)\n",
    "print(summary(XYlm))\n",
    "par(mfrow=c(2,2))\n",
    "plot(XYlm)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# octavemagic: Octave inside IPython"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**`octavemagic`** 提供与Octave交互的能力。依赖 `oct2py` 和 `h5py` 软件包。  \n",
    "载入扩展包:"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "%load_ext octavemagic"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 概览"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "载入这个扩展包，启用了三个magic functions: `%octave`, `%octave_push`, 和 `%octave_pull`。  \n",
    "第一个执行一行或多行Octave, 后面两个执行 Octave 和 Python 的变量交换。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 110,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 1.,  2.],\n",
       "       [ 3.,  4.]])"
      ]
     },
     "execution_count": 110,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x = %octave [1 2; 3 4];\n",
    "x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 111,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[2, 4, 6]])"
      ]
     },
     "execution_count": 111,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a = [1, 2, 3]\n",
    "\n",
    "%octave_push a\n",
    "%octave a = a * 2;\n",
    "%octave_pull a\n",
    "a"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**`%%octave`** : 多行 Octave 被执行。但与单行不同, 没有值被返回, 我们使用`-i` 和 `-o` 指定输入和输出变量。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 116,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%%octave -i x -o y\n",
    "y = x + 3;"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 117,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 4.,  5.],\n",
       "       [ 6.,  7.]])"
      ]
     },
     "execution_count": 117,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plotting"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot输出自动被捕获和显示，使用 `-f` 参数选择输出的格式 (目前支持 `png` 和 `svg`)。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 118,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "12*x^4 - 2.5*x^3 - 8*x^2 - 0.1*x^1 + 8"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%octave -f svg\n",
    "\n",
    "p = [12 -2.5 -8 -0.1 8];\n",
    "x = 0:0.01:1;\n",
    "\n",
    "polyout(p, 'x')\n",
    "plot(x, polyval(p, x));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "使用 `-s` 参数调整大小:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 119,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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QELB///4jR47U1dUZGxu/9957a9askWZRsIaGBmrCZ6ln7G8mJFM05Pvuu5CY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\nY2RHRMr/A5YdmP24XbLsAAAAAElFTkSuQmCC\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%octave -s 500,500\n",
    "\n",
    "# butterworth filter, order 2, cutoff pi/2 radians\n",
    "b = [0.292893218813452  0.585786437626905  0.292893218813452];\n",
    "a = [1  0  0.171572875253810];\n",
    "freqz(b, a, 32);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 120,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ValbmrH2bWUVv0aOH1pVHujZ12U/e6PsMNZi1t8mswImVNaw+p7SKiYqKWrRo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\nCACQGokQACA1EiEAQGokQgCA1P4CasZOMJR81Q8AAAAASUVORK5CYII=\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%octave -s 600,200 -f png\n",
    "\n",
    "subplot(121);\n",
    "[x, y] = meshgrid(0:0.1:3);\n",
    "r = sin(x - 0.5).^2 + cos(y - 0.5).^2;\n",
    "surf(x, y, r);\n",
    "\n",
    "subplot(122);\n",
    "sombrero()"
   ]
  }
 ],
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