diff --git a/.idea/dataSources.xml b/.idea/dataSources.xml
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index 6ae5458..0000000
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diff --git a/resource/0701-0817.xls b/resource/0701-0817.xls
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index 0000000..dafdee9
Binary files /dev/null and b/resource/0701-0817.xls differ
diff --git a/resource/reg.csv b/resource/reg.csv
new file mode 100644
index 0000000..fe535c0
--- /dev/null
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\ No newline at end of file
diff --git a/resource/req.csv b/resource/req.csv
new file mode 100644
index 0000000..57cd5f7
--- /dev/null
+++ b/resource/req.csv
@@ -0,0 +1,4277 @@
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\ No newline at end of file
diff --git a/test/Matplotlib-0.ipynb b/test/Matplotlib-0.ipynb
new file mode 100644
index 0000000..13047c4
--- /dev/null
+++ b/test/Matplotlib-0.ipynb
@@ -0,0 +1,586 @@
+{
+ "cells": [
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "import pandas as pd\n",
+ "import matplotlib.pyplot as plt\n",
+ "from pylab import show\n",
+ "from matplotlib.ticker import FuncFormatter"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "
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+ "\n",
+ "
\n",
+ " \n",
+ " \n",
+ " | \n",
+ " account number | \n",
+ " name | \n",
+ " sku | \n",
+ " quantity | \n",
+ " unit price | \n",
+ " ext price | \n",
+ " date | \n",
+ "
\n",
+ " \n",
+ " \n",
+ " \n",
+ " | 0 | \n",
+ " 740150 | \n",
+ " Barton LLC | \n",
+ " B1-20000 | \n",
+ " 39 | \n",
+ " 86.69 | \n",
+ " 3380.91 | \n",
+ " 2014-01-01 07:21:51 | \n",
+ "
\n",
+ " \n",
+ " | 1 | \n",
+ " 714466 | \n",
+ " Trantow-Barrows | \n",
+ " S2-77896 | \n",
+ " -1 | \n",
+ " 63.16 | \n",
+ " -63.16 | \n",
+ " 2014-01-01 10:00:47 | \n",
+ "
\n",
+ " \n",
+ " | 2 | \n",
+ " 218895 | \n",
+ " Kulas Inc | \n",
+ " B1-69924 | \n",
+ " 23 | \n",
+ " 90.70 | \n",
+ " 2086.10 | \n",
+ " 2014-01-01 13:24:58 | \n",
+ "
\n",
+ " \n",
+ " | 3 | \n",
+ " 307599 | \n",
+ " Kassulke, Ondricka and Metz | \n",
+ " S1-65481 | \n",
+ " 41 | \n",
+ " 21.05 | \n",
+ " 863.05 | \n",
+ " 2014-01-01 15:05:22 | \n",
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+ " Jerde-Hilpert | \n",
+ " S2-34077 | \n",
+ " 6 | \n",
+ " 83.21 | \n",
+ " 499.26 | \n",
+ " 2014-01-01 23:26:55 | \n",
+ "
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+ " \n",
+ "
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+ "
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+ ],
+ "text/plain": [
+ " account number name sku quantity \\\n",
+ "0 740150 Barton LLC B1-20000 39 \n",
+ "1 714466 Trantow-Barrows S2-77896 -1 \n",
+ "2 218895 Kulas Inc B1-69924 23 \n",
+ "3 307599 Kassulke, Ondricka and Metz S1-65481 41 \n",
+ "4 412290 Jerde-Hilpert S2-34077 6 \n",
+ "\n",
+ " unit price ext price date \n",
+ "0 86.69 3380.91 2014-01-01 07:21:51 \n",
+ "1 63.16 -63.16 2014-01-01 10:00:47 \n",
+ "2 90.70 2086.10 2014-01-01 13:24:58 \n",
+ "3 21.05 863.05 2014-01-01 15:05:22 \n",
+ "4 83.21 499.26 2014-01-01 23:26:55 "
+ ]
+ },
+ "execution_count": 4,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "df = pd.read_excel(\"https://github.com/chris1610/pbpython/blob/master/data/sample-salesv3.xlsx?raw=true\")\n",
+ "df.head()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ "\n",
+ "
\n",
+ " \n",
+ " \n",
+ " | \n",
+ " Name | \n",
+ " Sales | \n",
+ " Purchases | \n",
+ "
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+ " \n",
+ " \n",
+ " \n",
+ " | 0 | \n",
+ " Kulas Inc | \n",
+ " 137351.96 | \n",
+ " 94 | \n",
+ "
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+ " \n",
+ " | 1 | \n",
+ " White-Trantow | \n",
+ " 135841.99 | \n",
+ " 86 | \n",
+ "
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+ " \n",
+ " | 2 | \n",
+ " Trantow-Barrows | \n",
+ " 123381.38 | \n",
+ " 94 | \n",
+ "
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+ " \n",
+ " | 3 | \n",
+ " Jerde-Hilpert | \n",
+ " 112591.43 | \n",
+ " 89 | \n",
+ "
\n",
+ " \n",
+ " | 4 | \n",
+ " Fritsch, Russel and Anderson | \n",
+ " 112214.71 | \n",
+ " 81 | \n",
+ "
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+ " \n",
+ "
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+ "
"
+ ],
+ "text/plain": [
+ " Name Sales Purchases\n",
+ "0 Kulas Inc 137351.96 94\n",
+ "1 White-Trantow 135841.99 86\n",
+ "2 Trantow-Barrows 123381.38 94\n",
+ "3 Jerde-Hilpert 112591.43 89\n",
+ "4 Fritsch, Russel and Anderson 112214.71 81"
+ ]
+ },
+ "execution_count": 6,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "top_10 = (df.groupby('name')['ext price', 'quantity'].agg({'ext price': 'sum', 'quantity': 'count'}).sort_values(by='ext price', ascending=False))[:10].reset_index()\n",
+ "top_10.rename(columns={'name': 'Name', 'ext price': 'Sales', 'quantity': 'Purchases'}, inplace=True)\n",
+ "top_10.head()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "[u'seaborn-darkgrid',\n",
+ " u'seaborn-notebook',\n",
+ " u'classic',\n",
+ " u'seaborn-ticks',\n",
+ " u'grayscale',\n",
+ " u'bmh',\n",
+ " u'seaborn-talk',\n",
+ " u'dark_background',\n",
+ " u'ggplot',\n",
+ " u'fivethirtyeight',\n",
+ " u'_classic_test',\n",
+ " u'seaborn-colorblind',\n",
+ " u'seaborn-deep',\n",
+ " u'seaborn-whitegrid',\n",
+ " u'seaborn-bright',\n",
+ " u'seaborn-poster',\n",
+ " u'seaborn-muted',\n",
+ " u'seaborn-paper',\n",
+ " u'seaborn-white',\n",
+ " u'seaborn-pastel',\n",
+ " u'seaborn-dark',\n",
+ " u'seaborn',\n",
+ " u'seaborn-dark-palette']"
+ ]
+ },
+ "execution_count": 7,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "plt.style.available"
+ ]
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+ {
+ "cell_type": "code",
+ "execution_count": 29,
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+ },
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+ {
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zSD0AAAAlFVfRMaDMzExlZGSoRo0akqSYmBi98sorysjI0NWrV/W3v/1Nvr6+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\nsBEKPgAAAGAj/wGO4eiTRS+2nQAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.style.use('seaborn')\n",
+ "top_10.plot(kind='barh', y=\"Sales\", x=\"Name\")\n",
+ "show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 30,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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zSD0AAAAlFVfRMaDMzExlZGSoRo0akqSYmBi98sorysjI0NWrV/W3v/1Nvr6+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\nsBEKPgAAAGAj/wGO4eiTRS+2nQAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "fig, ax = plt.subplots()\n",
+ "top_10.plot(kind='barh', y=\"Sales\", x=\"Name\", ax=ax)\n",
+ "show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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222/rxx9/VHZ2trKyLt9QqVWrVvL29pYkNWjQQGfOnNGhQ4fUqVMnVapUSZLUrVs35eXl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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "fig, ax = plt.subplots()\n",
+ "top_10.plot(kind='barh', y=\"Sales\", x=\"Name\", ax=ax)\n",
+ "ax.set_xlim([-10000, 140000])\n",
+ "ax.set_xlabel('Total Revenue')\n",
+ "ax.set_ylabel('Customer');\n",
+ "show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 32,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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ZunWrRVf7uXDharF+Kr4Xg0G3LxQRKctSU68CJejAVMQMhhvh/vz5NN3BNx+3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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "fig, ax = plt.subplots()\n",
+ "top_10.plot(kind='barh', y=\"Sales\", x=\"Name\", ax=ax)\n",
+ "ax.set_xlim([-10000, 140000])\n",
+ "ax.set(title='2014 Revenue', xlabel='Total Revenue', ylabel='Customer')\n",
+ "show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 33,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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9+/fH19cXgAoVKjB27Fh69OiBRdf/iYiUKyon5dwDDzxAUlISmZmZxMXF0bp1\na1q1asX27dsB2LVrFw899JDNc/z44480bty4wG0VK1YkKCgIk73NDCUiIrdF85yUcxUqVKBp06bs\n37+f2NhYOnfujIeHB56envz6668kJCTQr18/m+cwmUy3NUJii/6iTiRyZzHK3/TVHEbJU1ylmVfl\nRKznnezcuZOpU6cC0KZNG7777jvOnz9PnTp1bJ6hYcOGHDhwgPbt21tvy87O5tlnn2XhwoVUqlTp\nhst6erphNpf8IGD+1Ngicifw8HDDbDaXdYwCqlVzL+sIhqVyIrRu3ZpnnnmGWrVq4erqCsBDDz3E\n1KlTadGiRalkGDZsGMOGDaNt27b4+vqSk5PDwoULAQotJgApKek2GjnRuS4id4rU1HSM8tk6JlN+\nMTl7Ns2uptS/mrs0qJwIderU4eLFiwQHB1tv8/X15dSpU7Rp0+aW19ukSRPr9x4eHmzZsgWAkSNH\nFvgXzGeffUa9evV49dVXmTdvHhkZGVy+fJnmzZtbC0pR7OkPXETKhtH2ExaL8TIZhcmiSyHEzp0+\nnVb0g26ByWRhyrJ4fbaOiJ2rWd2V2Y+3wGIxzsiJl5c7Z87Y38iJl1fpjJzoah0RERExFJUTERER\nMRSVExERETEUlRMRERExFJUTERERMRRdSixSCB8Pl7KOICK3SX/H9keXEovds+WlxB4eblcmb7I/\n9ppduUufvWa/mdz573S6lPh2lOalxBo5Ebkh05XJ4kx2tQOB/J2IPWZX7tJnr9ntNbcUj845ERER\nEUNRORERERFDUTkRERERQ1E5EREREUNRORERERFDUTkRERERQ1E5EREREUNRORERERFDUTkRERER\nQ1E5EREREUNRORERERFDUTkRERERQ1E5EREREUNRORERERFDUTkRERERQ1E5EREREUNRORERERFD\ncSjrACLGZSE3NxewYDKVdZabZ6/Zlbv02Wt2W+W2WADs7MW4w6iciBRi5rLtJKdmlnUMESklPh4u\njOnd+EpBkbKiciJSiOTUTI6fzijrGCIi5YrOORERERFDUTkRERERQ1E5EREREUNRObkDHDt2jIYN\nGxISEkJwcDDdunVj6tSpZGVl3dR6Fi9eTEJCQonkCQwMvO59gYGBHDt27Lr3bd26lUGDBhEcHEz3\n7t15+eWXuXz58m3nERER+6Jycofw9vYmJiaGtWvXsmHDBs6cOcNnn312U+vYtWvXlUvzSt+2bdt4\n6aWXmD2plFfVAAAgAElEQVR7NmvXriU6OpqkpCTmz59fJnlERKTs6GqdO1B2djZZWVl4eXkBsHPn\nTl599VWysrI4f/48L7zwAkFBQYSHh5OamkpiYiK9e/fm4MGDTJkyhcWLF1OxYkWmTZvGuXPncHV1\nZfLkyTRu3Jjw8HDc3d05dOgQSUlJ9O/fn1GjRt125iVLlvDMM89w9913A+Dk5MTkyZM5ePDgba9b\nRETsi8rJHeLUqVOEhIRgsVhISkqiZs2atG3bFoB//vOfzJo1i7p167Jjxw4iIiIICgoCwN3dnU2b\nNgH5h1WeeeYZ6tevT58+fRgxYgRdu3Zl7969jB07li+//BKA48eP8+GHH3LmzBk6d+7MwIEDqVy5\n8m3l//HHH3nwwQcL3Obl5UX79u1va70iImJ/VE7uEFcP60D+yMnEiROZNWsWc+fOZcGCBXzzzTd8\n9dVX7Nu3j/T0dOtyTZo0uWZd6enpHD16lK5duwLg6+tLlSpV+O233wBo27YtFSpUwNvbm6pVq5KW\nlnbb5cRkMpGXl3cby9/W5kttnSJiH2z593913fa2jynNvCondyAnJye6du3KokWLABg0aBD+/v60\nbNmSVq1aMX78eOtjXVxcrlnecp2pES0WCzk5OQA4OztbbzeZTNd9/M1q2LAhBw4coG7dutbbTp06\nxaxZs4iMjKRChRufHuXp6YbZXPKnT5XV+TciUrY8PNwwm8023061au4234a9Ujm5Q+3YsYMGDRpw\n7tw5jhw5wooVK3B2diYqKuqGb7pms5nc3FwqVapE7dq12bRpk/WwzqlTp7jvvvtslvfxxx9nxowZ\n+Pr6cvfdd5OZmUlERATe3t6FFhOAlJR0G42caP5qkfIoNTUdW362jsmUX0zOnk2zq2nyr+YuDSon\nd4ir55wAZGVlUadOHWbPnk3VqlXp27cvQUFBVKpUiQcffJBLly4VOLRzVfv27Zk+fbr1UNCMGTN4\n8803cXR0JCoqCicnp2LnOXHiRIFDRg888AAfffQRAN27d8f0pzYRFxdHu3btGD9+POPHjycnJ4fL\nly/TsWNHnnvuuWJtz57+wEXE+Epjn2KxaN91IyZLSYzJi5Sh06fTbLJek8nClGXx+mwdkXKkZnVX\nZj/eAovFtiMnXl7unDljfyMnXl6lM3KieU5ERETEUG66nFy4cMEWOURERESAmygnR44coXv37gQF\nBZGcnExQUBBHjhyxYTQREREpj4pdTmbPns3zzz+Pl5cX3t7e9OnTh2nTptkym4iIiJRDxS4nKSkp\ndOzYEYvFgslkYvjw4Zw7d86W2URERKQcuqlLia9OwgX5557czoyeIvbAx+PaSepE5M6lv3ljKHY5\n6datG88//zwXLlzgH//4B6tXr6Zbt262zCZS5qY93urKhEz2x8PDzS6zK3fps9fstsptT5f33qmK\nXU4ef/xxYmJiMJvN7N69myFDhtC3b19bZhMpY6YrU1ib7G5nZTJhl9mVu/TZa3Z7zS3Fc1OHdUJC\nQujRo4f157y8vCKnFhcRERG5GcUuJytWrODVV1+1Tnt+9cTYH3/80WbhREREpPwpdjl56623ePvt\nt/nrX/9qyzwiIiJSzhW7nPz1r3/Fz8/PlllEREREil9OevXqxbx58wgICMDB4b+LNW/e3CbBRERE\npHwqdjmJi4tjy5YtbNmyxXqbyWTiyy+/tEkwERERKZ+KXU5++OEHYmNjcXV1tWUeERERKeeKfR2w\np6cnjo6OtswiIiIiUvyRk0aNGtG/f3/at2+Pk5OT9fYnn3zSJsFERESkfCp2Obl06RL16tUjKSnJ\nlnlERESknCt2OZk7d64tc4iIiIgAN1FO9u3bx9KlS8nIyMBisZCXl8cff/zB1q1bbZlPREREypli\nnxA7ZcoUGjVqxIULF+jSpQtOTk507tzZltlERESkHCr2yEleXh5PP/00Fy5coH79+oSGhjJ48GBb\nZhMREZFyqNgjJ+7u7gDUrl2bX375BRcXFyz6nGoREREpYcUeObn77ruZNm0agwYNYsKECZw7d47L\nly/bMpuIiIiUQ8UuJ9OnTycuLo7777+fRx99lG3btjF79mxbZhMpYxZyc3MBCyZTWWe5efaaXblL\nn71mL4vc+QcM7OyFskMmSxHHZoYMGYLpBr95k8nEP/7xD5sEEymu06fTbLJek8lC1Or9JKdm2mT9\nImJffDxcGNO7MRbL7ZUTkwm8vNw5cyYNezo74mru0lDkyEnfvn2vue348eMsWbKEBx54wCahRIwi\nOTWT46czyjqGiEi5UmQ5CQ4OLvDzpk2beP/99xk2bBhjx461WTAREREpn4p9zklWVhazZs1i69at\nLFq0iNatW9syl4iIiJRTxSonhw8f5vnnn6dWrVrExMTg6elp61wiIiJSThU5z8lHH33E4MGD6dev\nH2+//baKiYiIiNhUkeVk1qxZpKens2DBAho2bGj9atCgAQ0bNixyA8eOHaNhw4aEhIQU+Prll1+u\neezkyZM5cOAAaWlpPP300zf9ZI4dO0ZgYOBNLRMVFUWbNm2subp27UqPHj3YvXv3TW//ZsXHxzNk\nyJASX294eDjR0dHXvS8vL48OHToQHh5+S+seMmQI8fHxtxNPRESkUEUe1tm8efNtb8Tb25uYmJgi\nHxcREQHkl4z//Oc/t73d4howYABjxoyx/vz+++8zb948Pv3001LLUFri4uK49957+fbbbzl//jxV\nqlQp60giIiIFFFlOatasabONR0VFsXfvXk6ePEnfvn3ZvHkzzzzzDO+++y6nTp3iySef5LXXXuPF\nF18kMTERk8lE//79GTBgAElJSUycOJEzZ87g5OTEjBkz8PT0JCsrixdeeIGffvoJBwcHFi9eTO3a\ntYudKS8vj5MnT1rftMPDw/H396dXr14ABAYG8sEHH5Cbm0tYWBjZ2dmYzWYmTpyIn58fr7/+Ol9+\n+SUODg40atSImTNnkpuby8KFC9mxYwc5OTl06dKF0aNH3zDDTz/9xKxZs8jIyODs2bMMGzaMYcOG\nERUVRXJyMomJiRw/fpyAgACmTZuGxWJh3rx5fPPNN/j4+JCbm4u/v/9117169WoCAwNxd3fn888/\nZ9iwYdbn6e7uzqFDh0hKSqJ///6MGjWK7Oxs64hW7dq1SU1Nta7r3XffZd26deTl5dG8eXMmTpzI\nyZMnGTFiBNWqVcNkMjFnzpzrvk579+4lIiKCS5cu4enpycyZM7nrrrsYMmQIDz74IAkJCZw6dYox\nY8YQGhpa7N+fiIjYv2J/ts7tOHXqVIFDOpGRkdb7MjMz2bBhg/VNEmDatGl4e3uzdOlSYmNjsVgs\nrFmzhuXLl1sPt7z00kt06NCB9evXEx4ezuLFiwE4e/Ysjz76KOvWrcPf358VK1YUmW/VqlWEhIQQ\nGBhI+/btycjIYM6cOYUu89FHHxEUFER0dDTjx49n9+7dpKWlsWLFCtasWcPq1asxmUwkJSXx2Wef\ncfnyZaKjo4mOjmbv3r188803N1z3p59+yhNPPMHq1av58MMPC7xeP/74I8uWLWPt2rX861//4vDh\nw3z55Zf8+9//ZsOGDURGRpKYmHjd9Z47d46tW7fSqVMnunXrxqpVqwrcf/z4cT788ENWrVrF0qVL\nuXDhAh9++CF5eXls2rSJyZMnW9cdGxvL3r17+eyzz4iJiSE7O9u6viNHjjB37lw++uij675O2dnZ\nPP/880yePJl169YxYMAAxo0bZ82RmZnJqlWreP3115k3b17hv7wrTCbbfImI/K+S2rfYar9ly6/S\nUuxLiW9HYYd1fH19C122UaNGREREMGLECAICAggLCwPyz9dYsGABAP7+/vj7+3Ps2DG8vb1p0qQJ\nAPfddx8JCQlF5rt6WOfMmTMMHTqUBg0a4O3tXegybdu2ZcKECezdu5eAgACGDh2Ks7Mz99xzD336\n9KFDhw48+uij/OUvfyEuLo5Dhw6xa9cuIP/N96effrrhcw8PD2fbtm289dZbHD58mIyM/04C1qpV\nK5ycnHBycuKuu+7i/Pnz7Ny5k06dOuHo6Iinpyft2rW77nrXrVuHn58f1apVo127dkycOJHt27fT\nqlUr63OqUKEC3t7eVK1albS0NHbu3Em/fv0wmUzUqVPH+trGxcWxf/9+evfuDeRfam42m2nfvj2e\nnp7cddddN3ydjhw5QuXKla3Pv2vXrkybNo20tPyZXgMCAgCoX78+586dK/L35+nphtlc8j07f2ps\nEZH/8vBww2w2l8i6qlUrndlW7VGplJPCuLi4FHq/j48PmzZtIi4ujm3bthEaGsqGDRtwcHAoMK3+\nzz//jIuLCw4O/31KJpPppj452cvLi9mzZzNs2DBatGhBnTp1rllHdnY2kP+mu3HjRr799ls2btzI\n559/znvvvccHH3zADz/8wLZt2xgxYgQLFy4kNzeXF198kU6dOgGQmppKxYoV2b9//3VzPPfcc1Sq\nVImOHTvSrVs3NmzYYL3P2dn5muf3vxn//Br82erVq0lKSrKeNJyTk8OqVaus5eRm1p2bm8uwYcMY\nPnw4AGlpaZhMJs6dO1fgd3q91+lqwfwzi8VCTk5OgRw3+tiE/5WSkm6TRm8y2dG80iJSKlJT07nd\nz9YxmfKLydmz9jd9fWkVqlI5rHOzHBwcrG9U69atY8aMGXTs2JEpU6bg6upKUlIS/v7+1jftPXv2\nFDgscDv8/Pzo2LEjL7/8MgBVq1a1npybkJDA6dOngfwPQty8eTO9evVi2rRpHDp0iGPHjhEcHEyD\nBg147rnnaNOmDYcPH6Zly5Z88sknXL58mczMTIYNG0ZcXNwNM8TFxfHcc8/x8MMPW0dbCvtXfKtW\nrdi4cSPZ2dlcuHCB2NjYax5z6NAh/vjjD7Zs2WL9WrFiBZs3b7Y+pxute+3ateTl5ZGUlMSePXsA\naNmyJTExMaSnp5Obm8vzzz/P6tWrr1n+eq/T3Xffzfnz59m7dy8AGzdupEaNGnh4eNwwR1EsFtt8\niYj8r5Lat9hqv2XLr9JS5iMn11O9enVq1qzJoEGDeO+999i8eTNBQUE4OjrSuXNn6tWrx9SpU5ky\nZQorVqzAycmJ+fPnF7rOyMhIvL29GThwYJHbHzduHN26dSM+Pp5BgwYxbtw4unfvToMGDWjQoAEA\njz32GGFhYXz00UdUqFCBGTNmUKtWLbp160ZoaCguLi783//9H6GhoTg7O3P06FFCQ0O5fPkyQUFB\nPPzwwze8JHfMmDEMGjSIypUrU6dOHWrVqsUff/xxw7wPP/wwBw4coHv37nh5eXH33Xdf85jVq1cT\nGhqKm5ub9bb69evTtGlTPvvssxuue9CgQfz888907dqVmjVrUrduXSD/xODDhw/Tr18/6wm4gwcP\n5uTJkwWWv97r5OTkxKJFi4iIiCAzMxN3d3dee+21G/9CRESkXCnyU4nvFIcOHWLPnj0MHjy4rKNI\nCbPlpxJPWRavD/4TEQBqVndl9uMt9KnEpcCQh3Vs4dSpU3Tv3r2sY4iIiEgRDHlYxxbat29f1hFE\nRESkGMrNyImIiIjYB5UTERERMZRyc1hH5Fb4eBQ+D4+IlB/aH5SecnO1jty5bHm1joeH25VJl+yP\nvWZX7tJnr9nLInf+O6au1rE1jZyI3JDpyjTVJrvagUD+TsQesyt36bPX7PaaW4pH55yIiIiIoaic\niIiIiKGonIiIiIihqJyIiIiIoaiciIiIiKGonIiIiIihqJyIiIiIoaiciIiIiKGonIiIiIihqJyI\niIiIoaiciIiIiKGonIiIiIihqJyIiIiIoaiciIiIiKGonIiIiIihqJyIiIiIoaiciIiIiKE4lHUA\nEeOykJubC1gwmco6y82z1+zKXfrsNXtZ5LZYAOzshbJDKicihZi5bDvJqZllHUNEDMDHw4UxvRtf\nKShiSyonIoVITs3k+OmMso4hIlKu6JwTERERMRSVExERETEUlRMRERExFJUTERERMRSVEzsUHR1N\neHj4LS0bHx/PkCFDbmqZIUOGEB8fX+C2qKgooqKiABg5ciTJycm3let/ffzxx6xfv75E1iUiIvZF\n5URu2zvvvIOPj0+JrnPPnj1kZ2eX6DpFRMQ+6FJiO5aYmMiMGTNITU3FycmJsLAw/Pz8CA8PJzU1\nlcTERMaOHUulSpWYO3cuzs7O/O1vfyty+ZsVGBjIBx98cM1tgYGBJCQkYLFYmD17No0aNSIlJYVp\n06Zx4sQJAJ555hkCAwOJiopi7969nDx5kpCQELZs2cKOHTuoVq0aAQEBt/dCiYiIXVE5sWNhYWFM\nmjSJRo0akZiYyLBhw/jqq68AcHd3Z9OmTWRnZ9OhQwfee+897rvvPiZPnlzk8g4O1/5vMWXKFFxd\nXa0/nzlzhgEDBhSaz93dnTVr1rBlyxbCw8PZsGEDERERBAcH06lTJ1JSUujfvz8PPvggAJmZmWzY\nsAGA3377DX9//2IXE1vMEGlvs2WKSOm43X3D1eXtbR9TmnlVTuxURkYGBw4cYMqUKdbbcnJySEpK\nAqBJkyYAHD58GG9vb+677z4AQkNDiYyMJD09/YbL165d+5rtzZ49mxYtWlh/vnq+SWH69esH5I+i\nhIeHk5KSQmxsLD///DNvvPGGdZu//vorAL6+vjf1Glzl6emG2VzyRyjzp8YWEfkvDw83zGZziayr\nWjX3ElnPnUjlxE4kJCRQu3ZtfHx8sFgsuLm54eTkRExMjPUxycnJVK9eHQAXFxcATCYTlj/NtXx1\nVCQvL++Gy4eEhFhv+/P9N+vPf8B5eXmYzWby8vL44IMPqFq1KgCnTp3C09OT+Ph4a+ablZKSbqOR\nE81RLSIFpaamc7ufrWMy5ReTs2fT7Goq/Ku5S4NOiLUTq1evth6yOXz4MHfddRd16tSxloeEhAR6\n9epFTk5OgeXq1avH2bNn+fe//w1gPWzi7u5+w+VjYmKsX7dj48aNAPzrX//irrvuokqVKrRs2ZIV\nK1YAcOTIEbp378758+evWdZsNt/UyIXFYpsvEZH/VVL7Flvtt2z5VVo0cmInnnjiCV588UVWrFhB\njRo1eO2113jkkUeYMWMGy5Ytw2w2ExkZiZOTU4HlHB0defXVVwkPD8fR0ZH69etb71uwYEGRy9+O\n/fv307NnT5ydnXn55ZeB/HNXpk+fTo8ePbBYLERERFCtWrVrln3ooYdYsGABbm5udOvWrcQyiYiI\n8ZksltLsQlJeXL2Cp1atWjbf1unTaTZZr8lkYcqyeH3wn4gAULO6K7Mfb4HFcvuHdby83Dlzxv4O\n63h56bCOiIiIlEM6rCM2sWXLlrKOICIidkojJyIiImIoKiciIiJiKDqsI1IIH49bm3tFRO482h+U\nHl2tI3bPllfreHi4XZl0yf7Ya3blLn32mr0scue/Y+pqHVvTyInIDZmuzHJrsqsdCOTvROwxu3KX\nPnvNbq+5pXh0zomIiIgYisqJiIiIGIrKiYiIiBiKyomIiIgYisqJiIiIGIrKiYiIiBiKyomIiIgY\nisqJiIiIGIrKiYiIiBiKyomIiIgYisqJiIiIGIrKiYiIiBiKyomIiIgYisqJiIiIGIrKiYiIiBiK\nyomIiIgYisqJiIiIGIpDWQcQMS4Lubm5gAWTqayz3Dx7za7cpc9es9trbig6u8UCYIdPrISonIgU\nYuay7SSnZpZ1DBEpR3w8XBjTu/GVglI+qZyIFCI5NZPjpzPKOoaISLmic05ERETEUFRORERExFBU\nTkRERMRQdM6JDUyePJmDBw9y+fJlEhMTueeeewDo168fgwcPvuX1/vHHHyxZsoQ5c+aUVFTi4+N5\n8skn+etf/4rFYuHy5ct06tSJsWPHUqGCuquIiJQ+lRMbiIiIAODYsWMMHTqUmJiYElnviRMn+OOP\nP0pkXX/WsGFDPvzwQwCys7MZMGAAfn5+BAQElPi2REREiqJ/GpeiqKgoRowYQVBQEO+//z47d+5k\nwIABhIaGEhgYyIYNGwAIDw8nIiKCwYMHExgYyFtvvQXAzJkzOXjwINOmTQNg6dKldOvWjR49ejBv\n3jxyc3N58skn2bx5MwBvvPEG/fv3ByAjI4OAgADy8vIKzZiVlUVOTg4eHh4AbNq0iX79+hEcHEyn\nTp3YsWMHAEOGDGH06NF06dKFvXv30qJFC0aOHEmPHj3Iysq6pWwZGRk8++yz9OzZk9DQUFatWlWS\nL7+IiNgJlZNSlpmZyYYNGxg2bBj//Oc/mTVrFp9//jlz5sxh6dKl1scdP36cDz/8kFWrVrF06VIu\nXLjAtGnTaNiwITNnzmTr1q18/fXXrF69ms8//5yjR4+yatUq2rdvz/bt24H8QzYnTpwgIyODHTt2\n0Lp16+seqjl48CAhISH06NGDdu3a4e3tzQMPPEBeXh4rV65kyZIlrF27llGjRvH+++9bl7v33nv5\n4osv8PX15dy5cwwfPpx169axY8eOW8r2/fffY7FYWLNmDcuXL2f37t22/WWIiIghqZyUMl9fX+v3\nCxYs4Ndff+WNN95g+fLlpKenW+9r27YtFSpUwNvbm6pVq5KWllZgPTt27KB79+64uLjg4OBA7969\n2b59u7UAXLp0iYsXL+Lv78+ePXv47rvv6NChw3UzNWzYkJiYGNatW0dsbKx15KNChQq8+eabxMXF\nERkZSXR0dIGMfn5+BdbTpEmT28rWqFEjDh48yIgRI1i3bh1hYWHFfl1NJtt8iYiUFVvt1+xhn6hz\nTkqZi4uL9ftBgwbh7+9Py5YtadWqFePHj7fe5+zsbP3eZDJh+Z+pAq93eCYnJ4caNWrg4ODAF198\ngZ+fH/fddx87d+5kx44dTJgwgZUrV1oPlwwYMIC77767wDrc3Nx4+OGHiYuLIz09nd69exMcHEzz\n5s2pV68eH330kfWxFStWvO5zu9Vsbm5ubNq0ibi4OLZt20ZoaCgbNmygcuXKhb6mnp5umM0l37Pz\np5cWESl9Hh5umM3mso5RZlROysi5c+c4cuQIK1aswNnZmaioqCLfDM1mMzk5OQC0bNnSet6Go6Mj\nq1evpnnz5gC0b9+eN998kwkTJlCvXj0GDx5MvXr1cHNzY+DAgQwcONC6zvj4+ALbyM3NZefOnTRo\n0IAjR45gMpl46qmnAJgyZUqx3rBvNdu6deuIi4tj3rx5BAQEsH37dpKSkoosJykp6TZp9CZTOZ47\nWkTKVGpqOkb7bB2TCapVcy+VbamclJGqVavSt29fgoKCqFSpEg8++CCXLl0qcNjkf917771cvHiR\ncePG8eqrr/Ljjz/Sp08fcnJyaN26NUOHDgUgICCAt956i+bNm1O1alUcHBxueEgH/nvOCeSfE9O4\ncWOeeOIJnJyceOCBB+jatSsVK1akefPmHD9+/JpRnP/VoUOHW8rWqVMnNm/eTFBQEI6OjnTu3Jl6\n9eoV6/Usz59BISJ3pvK8XzNZinqnETG406fTin7QLTCZLExZFq/P1hGRUlWzuiuzH2+BxWK8kRMv\nr9IZOdEJsSIiImIoKiciIiJiKConIiIiYigqJyIiImIoKiciIiJiKLqUWKQQPh4uRT9IRKQEab+j\nS4nlDmDLS4k9PNyuTIZkf+w1u3KXPnvNbq+5oejs+e/M5fdSYo2ciNyQ6cr00Sa7mwzJZMIusyt3\n6bPX7PaaG+w7e2nROSciIiJiKConIiIiYigqJyIiImIoKiciIiJiKConIiIiYigqJyIiImIoKici\nIiJiKConIiIiYigqJyIiImIoKiciIiJiKConIiIiYigqJyIiImIoKiciIiJiKConIiIiYigqJyIi\nImIoKiciIiJiKConIiIiYigOZR1AxLgs5ObmAhZMprLOcvPsNbtylz57zW6vucF42S0WAIOEQeVE\npFAzl20nOTWzrGOIiNiMj4cLY3o3vlJQjEHlRKQQyamZHD+dUdYxRETKFZ1zIiIiIoaiciIiIiKG\nonIiIiIihqJyYgCPPfYYmzZtsv4cFRVFgwYNSEtLs97Ws2dP6tevT3x8/DXLr1y5kpUrVwIwceJE\njh8/Xuxtr1y5kpCQEEJCQmjYsCHdunUjJCSEiRMn3sYz+q8hQ4aUyHpERKT80AmxBtCyZUv27NlD\n165dAYiNjaVFixbExcXRpUsXLly4wPHjx/H19b3u8gMHDrR+Hx8fz+jRo4u97YEDB1qXDwwM5O23\n36ZWrVq38WwK2rlzZ4mtS0REygeNnBhA69at+eGHHwA4d+4caWlp9OnTh23btgGwe/dumjVrhoOD\nA9HR0fTq1YvAwEA+/fRTIH+kJSoqiiVLlnDq1CmeeOIJzp49y8GDBxk0aBChoaEMHTqUX3/99aZy\nxcfH07t3b3r16sW4ceNITk5mxIgR9OvXj/bt2zN//nwAoqOjee6553j88cfp3Lkzzz33HNnZ2bz0\n0ksA9OrVC4BvvvmGkJAQevTowdNPP82ZM2d47733mDt3LgAJCQk0aNCA9PR0IL84HT58+DZfXRER\nsTcqJwbwwAMPkJSURGZmJnFxcbRu3ZpWrVqxfft2AHbt2sVDDz0EQMWKFYmOjubNN9/klVdeKbCe\np556Cm9vb95++20qV67MpEmTePnll/n8888ZO3YsEyZMuOlsv//+O++99x6vvvoq69evp0uXLnzy\nySesX7+eTz75hJSUFAD27NnDokWL2LhxI4mJicTGxjJ9+nQgv7ycPXuWqVOn8vrrr7Nu3Tr8/PyY\nOXMmAQEBfP/99wBs376dKlWqsGfPHs6fP8/Zs2epV6/eLb+uIiJin3RYxwAqVKhA06ZN2b9/P7Gx\nsXTu3BkPDw88PT359ddfSUhIoF+/fnzxxRd07twZgHr16pGamnrDdf7+++8kJiYWOMSTkpJCdnY2\nTk5Oxc529913U6VKFQBGjBjBjh07ePfdd/n555/Jzs4mMzN/gjI/Pz/c3d0BqFu3LufPny+wnv37\n951jtUEAABPhSURBVNO4cWNq164NQP/+/Xn77be5++67yc7O5syZM+zcuZOhQ4eya9cuLly4QLt2\n7Yqd0xazLBpl5kYRkdJQ1D6vNPeJKicGcfW8k507dzJ16lQA2rRpw3fffcf58+epU6cOAGazGQBT\nEf+X5OXlUbt2bWJiYgCwWCwkJyeTmprKE088AYC3tzfvvPNOoetxcXGxfj9v3jyOHj1KcHAwDz/8\nMN9//z2WK1MKOjs7Wx9nMpmst/85z59ZLBYuX74MQLt27fjmm2/4//buP6rK+oDj+PuCoGJpIANq\n2tBykp2puVR0pogOEK4Y/gq2/DGnhc1MNzfEUmdzMD2Iq9yWnTY7rJyEODWkmhtsCgbVxjY7pbb5\nC0r54Q8UfwH3fveHeU9MQM2A58rndQ5Hee597vfzcC6PH7/PfZ7n3LlzREVFkZycTHl5OePHj282\n2xV+fl3w9PzyJwEvX15aROTW5+vbxfXvixWonFjE8OHDmTdvHj169MDHxweAESNGsHTpUoYOHXrd\nr+Pp6YnD4aB3795UV1fz3nvvMXjwYN544w1+97vfsXXrVldhuVGFhYWsWLGCQYMGUVRURHl5+VWl\no7E89fX1DBgwgOXLl1NaWkrPnj3JzMxkyJAhAISFhbFixQpGjhxJcHAwVVVVVFVV8bOf/ey6cp08\nea6FZk4sdC1nEZEWdOrUOa51bx2bDbp3v71V8qicWERwcDA1NTXExsa6lg0cOJCKigq+9a1vXffr\njBkzhscee4yXXnqJ5557jpSUFC5evIiPjw9paWk3lfHxxx/nJz/5CV27dsXPz49vfOMblJaWNrvO\nt7/9bWJjY9m8eTPPPvss8+bNo76+nqCgIFJSUgAYPHgwlZWVhIaGApcPEV28eBEvL6/rzmale0KI\niLgjK+1Hbeb/599F3Exl5dlrP+kLsNkMz7xcrHvriMgt7atf8WHl7KEYc+2ZE3//1pk50dk6IiIi\nYikqJyIiImIpKiciIiJiKSonIiIiYikqJyIiImIpOpVYpBmBvp2v/SQRETdmxf2cTiUWt9eSpxL7\n+nb57OJE7sddsyt363PX7O6aG6yX/XITsM6pxJo5EWmS7bPLOdssdXGi62Gz4ZbZlbv1uWt2d80N\n7p29tegzJyIiImIpKiciIiJiKSonIiIiYikqJyIiImIpKiciIiJiKSonIiIiYikqJyIiImIpKici\nIiJiKSonIiIiYikqJyIiImIpKiciIiJiKSonIiIiYikqJyIiImIpKiciIiJiKSonIiIiYikqJyIi\nImIpKiciIiJiKR3aOoCIdRkcDgdgsNnaOsuNc9fsyt363DW7u+YG62c3BqDtwqmciDTj2ZffofzU\nhbaOISLSagJ9O/PkpP6fFZS2oXIi0ozyUxf4pPJ8W8cQEWlX9JkTERERsRSVExEREbEUlRMRERGx\nFJWTdqasrIzw8HDX9w6Hg0WLFjFnzhwuXbrU5HqLFy9my5YtX+rYIiIijdEHYtsxh8NBUlISFy5c\n4Fe/+hXe3t5tHUlERETlpL26Ukzq6+t57rnn6NDh8lshPDycjIwMevToQVlZGdOnTycvL6/BumvX\nrmXPnj2cOXOGbt26sW7dOvz9/VmxYgUlJSV4enoSHh7Ok08+2eT4W7ZsYdeuXdTU1FBaWsp9993H\n6tWr8fb2JiMjg40bN+Lh4cHw4cN5+umnsVn1YgAiIvKl02GdduhKMdmxYwc/+MEPXMXkehw5coSP\nP/6YTZs28fbbb9OrVy9ycnI4cOAAe/fuZfv27WzatInDhw9z4ULz1wcpKSlh7dq15ObmcvToUQoK\nCvjggw/IyMggMzOTnJwcysrKePfdd292k0VExI1o5qQdOn78OF5eXiQlJbFo0SKysrKu+5DO1772\nNZYsWcLmzZs5dOgQJSUl9OzZk7vvvpva2lq++93vMmrUKBYuXEjnzp2bfa1BgwZx++23A9CnTx+q\nq6s5fPgw4eHhdOvWDYAXX3zxunK1xMSKJmtEpD37/31ga+4TVU7aoYCAAFJSUgDYtWsXq1atYunS\npa7HzWeXBayrq7tq3Q8++ICFCxfyve99j8jISDw8PDDG4OPjw9atWykuLqagoID4+Hh+//vf06tX\nryZzdOzY0fV3m82GMQZPT88Gh3AqKyvx8vLijjvuaPJ1/Py64On55U8CXr68tIhI++Pr2wVPT882\nG1+HddohLy8vbDYbNpuN1NRUcnJy+Mtf/gKAr68v+/fvB+Ctt966at333nuP0NBQvvOd73DvvfdS\nWFiIw+Hg/fffZ86cOYSGhpKUlMQ999zDoUOHbjjb4MGDXZ9FcTqdLFmyhOLi4mbXOXnyHFVVZ7/0\nr9Onz91wfhGRW8GpU1fvV0+cONtq46uctHOBgYH89Kc/ZcmSJRw/fpwFCxawevVq4uLiGv0QanR0\nNPv27WP8+PHMmDGDkJAQSktL+eY3v0nv3r2x2+3ExcXRo0cPRo4cecN5+vXrx/Tp00lISGD8+PHc\ne++9REZGXnM9Y1rmS0SkvWrLfaLNGO2Cxb1VVrZMm7fZDM+8XKx764hIu/LVr/iwcvZQjGn4H1Sb\nDfz9b2+VDJo5EREREUtRORERERFLUTkRERERS1E5EREREUtRORERERFL0UXYRJoR6Nv8VW5FRG41\nVtjv6VRicXsteSqxr28XTp1yz4uxuWt25W597prdXXOD9bNfbgZtdyqxZk5EmmT77PLNNre7IJvN\nhltmV+7W567Z3TU3uHf21qLPnIiIiIilqJyIiIiIpaiciIiIiKWonIiIiIilqJyIiIiIpaiciIiI\niKWonIiIiIilqJyIiIiIpegKsSIiImIpmjkRERERS1E5EREREUtRORERERFLUTkRERERS1E5ERER\nEUtRORERERFLUTkRERERS1E5EWnCm2++SUxMDBEREaxbt65NMmzYsAG73Y7dbic5OZna2loOHDjA\n1KlTiYqKYv78+Zw/fx6Ampoa5s6dS3R0NJMmTeLw4cOu10lPTycqKorIyEjy8vJcy1tjG1etWsXi\nxYsB3CJ7Xl4eEydOJCoqipUrV7pNboBt27YRExNDTEwMq1atsnz2mpoaxo8fT1lZWatlbWqMm8ld\nWFjIxIkTiY2NZcaMGXzyySeWzN1Y9iv++te/Eh4e3uB5bZrdiMhVKioqTFhYmDlx4oSpra01M2bM\nMLt27WrVDP/617+M3W43586dM06n0yxatMhs2LDBxMbGmuLiYmOMMb/85S9NWlqaMcaYlStXmhde\neMEYY8yePXvMI488YowxZufOnWbmzJmmrq7OlJeXm/DwcHP69OlW2cY9e/aYoUOHmqSkJGOMsXz2\no0ePmhEjRphjx46Z2tpak5CQYPLz8y2f2xhjzp8/bwYPHmyqqqpMXV2dmTx5siksLLRs9n/84x/G\nbreb+++/35SWlhpjWuf90dQYXzT3pUuXzPDhw83BgweNMcZkZmaaxMREy+VuLPsVlZWVJioqyowe\nPdq1rK2za+ZEpBGFhYWEhobi5+eHl5cXDz/8MLm5ua2aoWvXrixduhQfHx9sNhshISHs37+fs2fP\nMmTIEACmTJniypWfn09cXBwAw4YNo7Kykk8//ZS8vDxiY2Pp0KEDAQEBDBkyhPz8/BbfxtOnT7N2\n7VoSExMBOHbsmOWz79y5k+joaIKCgvDy8mLt2rX06dPH8rkBHA4HTqeTixcv4nA4cDgcdOjQwbLZ\nX3/9dZYvX05AQADQOu+P5sb4orlra2t5+umn6dWrFwD33Xcfx44ds1zuxrJf8cwzzzBv3rwGy9o6\ne4cb3jqRdqCioqLBL3BAQADl5eWtmiE4OJjg4GAATpw4wWuvvUZ8fHyD6dXP5yovLycwMLDBY8eP\nH29yuYeHR4tu47Jly1i4cKFrR91YDqtlP3LkCN7e3nz/+9+noqKC8PBwwsLCLJ8b4LbbbuOpp55i\n3LhxdO7cmcGDB+Pl5WXZ7KmpqQ2+b433R3NjfNHct912G9HR0cDlgrhu3TrGjh1rudyNZQfIyMig\nX79+DBgwoMHyts6umRORRjidzquW2Wy2NkgCZWVlTJ8+nSlTpvDggw9e9fiVXKaR22R5eHg0ubwl\ntzErK4s777yTYcOGuZY1N55VsjscDnbv3s3q1avJyspi7969FBcXWz43wL59+8jOziY/P5/du3fj\n4eFBYWFhk+NZKTu0zvujJbfh4sWLLFiwAKfTyeOPPw5YP/eBAwf405/+xBNPPHHVY22dXeVEpBFB\nQUFUVla6vq+oqCAoKKjVc3z00UckJCQQHx/P3Llzr8pVWVnpyhUYGNjoY4GBgVRUVDRYHhgY2KLb\nmJubS2FhIRMmTOD5558nLy+PrKwsy2f39/dn2LBhdO/enU6dOjFmzBiOHDli+dwABQUFruze3t5M\nnDiR4uJit8gOV//OtUTW5sa4GdXV1cycOZOOHTvy61//Gi8vL7fI/dZbb1FZWcmkSZN47LHHqKio\nID4+3hLZVU5EGjFs2DCKioqoqqqirq6O7du3ExYW1qoZTp48yezZs1m6dCnTpk0D4K677qJz5868\n++67AGRnZzNq1CgAwsLCyM7OBqC4uBgfHx+CgoIICwtj+/bt1NfXU1VVRVFREcOHD2/RbdywYQM5\nOTls27aN+fPnEx4eTmpqquWzjx49mj179lBdXY3D4aCgoIBBgwZZPjdASEgIBQUFnDt3DmMMeXl5\nPPjgg26RHVrnvd3cGF+UMYZ58+bRv39/0tLSXMXE6rkB5s+fz9tvv822bdt46aWXCAgIYNOmTdbI\nfsMf9xVpJ3Jzc43dbjcRERHmF7/4RauPn56ebvr3729iY2NdX+np6Wb//v1m6tSpZty4cWbOnDnm\nzJkzxhhjqqurzbx580xMTIyJi4szH330kTHGGKfTadLS0kx0dLSJjIw027dvb9VtzM7Odp2t4w7Z\ns7KyTExMjImIiDDLly839fX1bpHbGGPWr19vIiIijN1uN4sXLzbnz5+3fPbRo0e7zhxpjaxNjfFF\ncxcUFJivf/3rxm63u35PZ82aZdncn8/+eaWlpQ3O1mnr7DZjGjmAJCIiItJGdFhHRERELEXlRERE\nRCxF5UREREQsReVERERELEXlRERERCxF5UREREQsRffWEZFbUnJyMh9++CEA//3vf10XgwJ48cUX\nufPOO5tc9/nnn6dv375ERkY2O0ZCQgKPPvooMTExDZZnZWWRmppKz549gcsX6jp79iz9+vUjJSWF\nbt263cymidzyVE5E5Jb0+ZuchYeHk5KS0ui9iRrzzjvvcM8999zU+A888AC//e1vXd9fvHiR+Ph4\nNmzYwIIFC27qtUVudSonItIuffzxx6xcuZKTJ08CMGnSJGbOnMnLL7/Mvn37WLNmDTabjdDQUJYu\nXUpVVRUnTpzA19eXNWvWcPfdd9/QeKdOnaKmpgZfX18Azpw5Q2pqKvv376e+vp4BAwaQnJzM+++/\nT2pqKm+++SYAtbW1PPTQQ2RmZuLn59foOj4+PowcOZLJkydTVFTEsWPHiIiIIDk5mSNHjmC329m7\ndy9w+UaSERERrlmlzZs3s3HjRpxOJ126dCEpKYn+/ft/WT9mkS9EnzkRkXanrq6OxMREpkyZwhtv\nvEFGRgZZWVns2LGD2bNnExISwo9+9COio6PJycnh/vvvJzMzkz//+c/07t2bV1999ZpjlJSUMGHC\nBMaNG0doaCgLFy5k2rRpPProowCkpKTQt29ftmzZwrZt2+jYsSPp6emMGDGCS5cuUVJSAsDOnTsJ\nCQkhODi4yXWuOHv2LBs3bmTTpk384Q9/4NChQ81mLCoqIjs7m1dffZWtW7eSlJTEE088waVLl27i\npyty8zRzIiLtzsGDB7lw4QJ2ux0AX19f4uLiyMvLu+rzI9OnT+fvf/87r7zyCkePHqWkpIQhQ4Zc\nc4wrh3WMMaxfv54tW7YQGRmJp6cnAPn5+ezdu5c//vGPwOUZksDAQDw8PJg6dSpbtmzhgQceIDs7\nm0ceeaTZda4YM2YMcPmOst27d+fkyZP4+/s3mTE/P5/S0lISEhIaLD969Ch9+vS55jaKtBSVExFp\ndxq7pZjT6cThcFy1fNWqVfz73/9m8uTJPPzww3Tq1Inq6urrHstms5GYmMg///lPfvjDH/Laa69h\ns9mor68nPT2dvn37AlBTU0NdXR0AkydPJiYmhlmzZnHgwAHGjh0L0Ow6AJ06dWowrjHG9ecVn3++\nw+HAbrezePFi17JPP/30um5pL9KSdFhHRNqd3r1706lTJ3JycgA4ffo0W7duZcSIEQB06NCB+vp6\nAHbv3s20adOIi4ujR48e/O1vf8PpdN7wmMuWLePDDz/k9ddfB2DkyJG88sorOJ1O6uvrWbRoES+8\n8AIA/v7+DB06lMWLFzNhwgS8vb2vuU5TunbtitPp5D//+Q9w+TDRFQ899BA7duygvLwcgNzcXCZO\nnEhtbe0Nb5/Il0kzJyLS7nh7e/Ob3/yGn//856xfv566ujomTJjApEmTgMuHR9LS0rh06RJPPvkk\na9asYf369dhsNgYOHMjBgwdveMy77rqLuXPnsmbNGsaOHcuyZctISUlh/Pjx1NfXM3DgQH784x+7\nnh8fH8+sWbNYvXq1a9m11mnMHXfcwVNPPcWcOXPw8/MjOjra9dioUaNITExk9uzZ2Gw2vL29Wb9+\nfYMZGJG2YDONzW+KiIiItBEd1hERERFLUTkRERERS1E5EREREUtRORERERFLUTkRERERS1E5ERER\nEUtRORERERFLUTkRERERS1E5EREREUv5H/HRxaVKgheRAAAAAElFTkSuQmCC\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "fig, ax = plt.subplots(figsize=(5, 6))\n",
+ "top_10.plot(kind='barh', y=\"Sales\", x=\"Name\", ax=ax)\n",
+ "ax.set_xlim([-10000, 140000])\n",
+ "ax.set(title='2014 Revenue', xlabel='Total Revenue')\n",
+ "ax.legend().set_visible(False)\n",
+ "show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 34,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "def currency(x, pos):\n",
+ " 'The two args are the value and tick position'\n",
+ " if x >= 1000000:\n",
+ " return '${:1.1f}M'.format(x*1e-6)\n",
+ " return '${:1.0f}K'.format(x*1e-3)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 35,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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paWnWZb1791ZCQoKmTZumffv2KT4+XsOGDZMkDRs2TPHx8ddtt169ejfc382e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\n9gAAAIADYCoOYAN+Xrd3TX4AAO4Ux6C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eRERERMQAVOxFRERERAxAxV5ERERExABU7EVE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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "fig, ax = plt.subplots()\n",
+ "top_10.plot(kind='barh', y=\"Sales\", x=\"Name\", ax=ax)\n",
+ "ax.set_xlim([-10000, 140000])\n",
+ "ax.set(title='2014 Revenue', xlabel='Total Revenue', ylabel='Customer')\n",
+ "formatter = FuncFormatter(currency)\n",
+ "ax.xaxis.set_major_formatter(formatter)\n",
+ "ax.legend().set_visible(False)\n",
+ "show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 41,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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fe3rWo1Gjf93y9cOGDWbYsL923rrzzjtv8847b+d5/Kuvvsyrr76cY9u8ebkX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\nAABJRU5ErkJggg==\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# Create the figure and the axes\n",
+ "fig, ax = plt.subplots()\n",
+ " \n",
+ "# Plot the data and get the averaged\n",
+ "top_10.plot(kind='barh', y=\"Sales\", x=\"Name\", ax=ax)\n",
+ "avg = top_10['Sales'].mean()\n",
+ " \n",
+ "# Set limits and labels\n",
+ "ax.set_xlim([-10000, 140000])\n",
+ "ax.set(title='2014 Revenue', xlabel='Total Revenue', ylabel='Customer')\n",
+ " \n",
+ "# Add a line for the average\n",
+ "ax.axvline(x=avg, color='b', label='Average', linestyle='--', linewidth=1)\n",
+ " \n",
+ "# Annotate the new customers\n",
+ "for cust in [3, 5, 8]:\n",
+ " ax.text(avg+1000, cust, \"New Customer\")\n",
+ " \n",
+ "# Format the currency\n",
+ "formatter = FuncFormatter(currency)\n",
+ "ax.xaxis.set_major_formatter(formatter)\n",
+ " \n",
+ "# Hide the legend\n",
+ "ax.legend().set_visible(False)\n",
+ "\n",
+ "show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 49,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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PP7Jq1So++eQTTp48SZcuXXj33XdJS0ujb9++nDhxQjNEHBsby+nTp+nVqxcxMTGMHj2a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\nQmCC\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# Get the figure and the axes\n",
+ "fig, (ax0, ax1) = plt.subplots(nrows=1,ncols=2, sharey=True, figsize=(7, 4))\n",
+ "top_10.plot(kind='barh', y=\"Sales\", x=\"Name\", ax=ax0)\n",
+ "ax0.set_xlim([-10000, 140000])\n",
+ "ax0.set(title='Revenue', xlabel='Total Revenue', ylabel='Customers')\n",
+ " \n",
+ "# Plot the average as a vertical line\n",
+ "avg = top_10['Sales'].mean()\n",
+ "ax0.axvline(x=avg, color='b', label='Average', linestyle='--', linewidth=1)\n",
+ " \n",
+ "# Repeat for the unit plot\n",
+ "top_10.plot(kind='barh', y=\"Purchases\", x=\"Name\", ax=ax1)\n",
+ "avg = top_10['Purchases'].mean()\n",
+ "ax1.set(title='Units', xlabel='Total Units', ylabel='')\n",
+ "ax1.axvline(x=avg, color='b', label='Average', linestyle='--', linewidth=1)\n",
+ " \n",
+ "# Title the figure\n",
+ "fig.suptitle('2014 Sales Analysis', fontsize=14, fontweight='bold');\n",
+ " \n",
+ "# Hide the legends\n",
+ "ax1.legend().set_visible(False)\n",
+ "ax0.legend().set_visible(False)\n",
+ "\n",
+ "show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 50,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "{u'eps': u'Encapsulated Postscript',\n",
+ " u'jpeg': u'Joint Photographic Experts Group',\n",
+ " u'jpg': u'Joint Photographic Experts Group',\n",
+ " u'pdf': u'Portable Document Format',\n",
+ " u'pgf': u'PGF code for LaTeX',\n",
+ " u'png': u'Portable Network Graphics',\n",
+ " u'ps': u'Postscript',\n",
+ " u'raw': u'Raw RGBA bitmap',\n",
+ " u'rgba': u'Raw RGBA bitmap',\n",
+ " u'svg': u'Scalable Vector Graphics',\n",
+ " u'svgz': u'Scalable Vector Graphics',\n",
+ " u'tif': u'Tagged Image File Format',\n",
+ " u'tiff': u'Tagged Image File Format'}"
+ ]
+ },
+ "execution_count": 50,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "fig.canvas.get_supported_filetypes()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 51,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "fig.savefig('sales.png', transparent=False, dpi=80, bbox_inches=\"tight\")"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2.0
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.13"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
\ No newline at end of file
diff --git a/test/Matplotlib-1.ipynb b/test/Matplotlib-1.ipynb
new file mode 100644
index 0000000..87beff8
--- /dev/null
+++ b/test/Matplotlib-1.ipynb
@@ -0,0 +1,300 @@
+{
+ "cells": [
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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qSJjpaC14x34LxVU1IojB7WL4ZbW2GpwSXMG6pbRlsu2tBi0MqkjGzNlOpbBA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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from pylab import *\n",
+ "\n",
+ "X = np.linspace(-np.pi, np.pi, 256, endpoint=True)\n",
+ "C, S = np.cos(X), np.sin(X)\n",
+ "\n",
+ "plot(X, C)\n",
+ "plot(X, S)\n",
+ "\n",
+ "show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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oX8U52qGbm146HBoqncTc+tXqhzXH13BPEzthMSGyg2vX9HH2HMaRNXvvbPQJ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\n387SUYgcjru7XqHz8ceca+KMWEwoW8LCgNRUYPD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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# 导入 matplotlib 的所有内容(nympy 可以用 np 这个名字来使用)\n",
+ "from pylab import *\n",
+ "\n",
+ "# 创建一个 8 * 6 点(point)的图,并设置分辨率为 80\n",
+ "figure(figsize=(8, 6), dpi=80)\n",
+ "\n",
+ "# 创建一个新的 1 * 1 的子图,接下来的图样绘制在其中的第 1 块(也是唯一的一块)\n",
+ "subplot(1, 1, 1)\n",
+ "\n",
+ "X = np.linspace(-np.pi, np.pi, 256, endpoint=True)\n",
+ "C, S = np.cos(X), np.sin(X)\n",
+ "\n",
+ "# 绘制余弦曲线,使用蓝色的、连续的、宽度为 1 (像素)的线条\n",
+ "plot(X, C, color=\"blue\", linewidth=1.0, linestyle=\"-\")\n",
+ "\n",
+ "# 绘制正弦曲线,使用绿色的、连续的、宽度为 1 (像素)的线条\n",
+ "plot(X, S, color=\"green\", linewidth=1.0, linestyle=\"-\")\n",
+ "\n",
+ "# 设置横轴的上下限\n",
+ "xlim(-4.0, 4.0)\n",
+ "\n",
+ "# 设置横轴记号\n",
+ "xticks(np.linspace(-4, 4, 9, endpoint=True))\n",
+ "\n",
+ "# 设置纵轴的上下限\n",
+ "ylim(-1.0, 1.0)\n",
+ "\n",
+ "# 设置纵轴记号\n",
+ "yticks(np.linspace(-1, 1, 5, endpoint=True))\n",
+ "\n",
+ "# 以分辨率 72 来保存图片\n",
+ "# savefig(\"exercice_2.png\",dpi=72)\n",
+ "\n",
+ "# 在屏幕上显示\n",
+ "show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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gtuSpeXNrCwGwdi3cdpuW/QuZlvtFpECmT4cjj7ROLGlptux/+OGhs5KE9vXX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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "figure(figsize=(10,6), dpi=80)\n",
+ "plot(X, C, color=\"blue\", linewidth=2.5, linestyle=\"-\")\n",
+ "plot(X, S, color=\"red\", linewidth=2.5, linestyle=\"-\")\n",
+ "show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 13,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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lwEXaIUM4Pn0RV1yuVSvg//6P4+3bA29uSdjSCqZIhFm6FGjQgOPChVk9xN94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\neVZBk/CmBFMy7aefuHjXvj2wdy9fy5WLNwmXLGH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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "figure(figsize=(10, 6), dpi=80)\n",
+ "# 设置图片边界\n",
+ "xmin, xmax = X.min(), X.max()\n",
+ "ymin, ymax = C.min(), C.max()\n",
+ "\n",
+ "dx = (xmax - xmin) * 0.2\n",
+ "dy = (ymax - ymin) * 0.2\n",
+ "\n",
+ "xlim(xmin - dx, xmax + dx)\n",
+ "ylim(ymin - dy, ymax + dy)\n",
+ "\n",
+ "# xticks( [-np.pi, -np.pi/2, 0, np.pi/2, np.pi])\n",
+ "# yticks([-1, 0, +1])\n",
+ "\n",
+ "xticks([-np.pi, -np.pi / 2, 0, np.pi / 2, np.pi],\n",
+ " [r'$-\\pi$', r'$-\\pi/2$', r'$0$', r'$+\\pi/2$', r'$+\\pi$'])\n",
+ "\n",
+ "yticks([-1, 0, +1],\n",
+ " [r'$-1$', r'$0$', r'$+1$'])\n",
+ "\n",
+ "plot(X, C, color=\"blue\", linewidth=2.5, linestyle=\"-\")\n",
+ "plot(X, S, color=\"red\", linewidth=2.5, linestyle=\"-\")\n",
+ "\n",
+ "show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 15,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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skMP+gOzNhodL71kd+PtvoHJl+b7y8ZEFTB3kqWSP2bO1+oPlygEHDsgXkTwB\nt4mJPI3FIvcOrG1JR4xgImgYly/bbuMtXKibRBAAKlSQAtSAtL9l7UED6dcPCAmR8ZEjwIwZauMh\nXWIySOQmvvoK+OMPGRcvziNChjJgAHDnjoy7dQPq1FEbTwo++EBaGQLA778Dy5erjIbs5u0tbWW8\nvWU+cSJw4YLamEh3mAwSuYGYGGDIEG0+b560KyUD2LhRbn4CQJ48wPTpauN5gixZZCfbKjRUSs6Q\nAVSqBPTtK+O4OGDgQLXxkO4wGSRyAx98AFy7JuNWrYAmTdTGQ3aKj7dtOTd9uhSZ1qlXXwXatpXx\nzZtyx4UMYvx4rfbgmjXAzz+rjYd0hRdIiAzu4EE5EmQ2y+rN8eNA4cKqozIWZRdIpkwBRo6Uca1a\nss+vsJSMPS5flssjsbES6p492pE00rmvvwY6dZJx8eLAP/9wC8G98QIJkScwm+XSiNks8w8+YCJo\nGBERQFiYjL28ZG9f54kgIDUrx42TscUiu4/W7z/SuQ4dgLp1ZXzmjFbcnDwek0EiA1uyBPjrLxmX\nLq1VkCADGDxYzm8BklG98ILaeFKhf3/tpvru3fJ9SAZgrT1ovUwyZQpw9qzamEgXmAwSGdTNm9K5\nzGr+fJYPM4xff9X6xebNK+e5DCRjRlnItBo+HIiOVhcPpUK5ctoFkgcP5CY7eTwmg0QGNXKkdpuz\nXTutFzHpXEqXRgzYM7Z+fdvLJKNHq42HUmHsWK1H5U8/AevWqY2HlOMFEiID2rMHqF5dzmz5+cml\nEfYfTjuXXiBJemnkpZeA7dsNcVYwJZGRcjzh3j35J+zbJ51KyAC++05eRQJSQPLIEbmBRu6EF0iI\n3FViolwasb6OGz+eiaBhRERI0V9ALo3Mn2/YRBAAAgPl0hIg3499+vAyiWG0aaNtJ5w/z6bTHo7J\nIJHBLF4M7N8v4/LltVqyZACDBwP378u4Tx9DXRp5koEDZXUQkMtMy5apjYfsZL1MkjGjzKdOBU6d\nUhsTKcNkkMhAbt2yLfSb9LmcdC75pZEJE9TG4yA+PsDHH2vz4cPl+5QMoHRpeYECSNNp65g8DpNB\nIgMZP9720ogOW9hSSh4+lHosVtOmGfLSyJM0bAi88YaMr1/Xto7JAEaPBgoVkvFPPwEbNqiNh5Tg\nBRIigzh6FHj+eTkzmDkzcOIEC0w7itMvkMyapa261Kwpl0a83Ou1+MWLstB0/7780w4elO9XMoCk\nnUlKlwZTXMadAAAgAElEQVQOH+aWg3vgBRIid2KxSEHpxESZv/8+E0HDuH5dqyNoMgFz57pdIgjI\n96O1vIzZLN+vqV9rICU6dJAXKYCUJpg/X2085HLu94xE5IZ++kmOnAFAUBAwdKjaeCgVxowBbt+W\ncdeuQJUqauNxokGDgKJFZbx1K7B2rdp4yE4mEzBnjjYfN05exJDHYDJIpHPx8bZt5mbMkG1iMoDw\ncGDRIhn7+QGTJqmNx8kyZZLvT6vQUPn+JQMICZEXK4C8eBkzRm085FJMBol0bvZs6SkPSI9560F9\n0jmLRequWPdKR48G8udXG5MLtGwJ1Ksn47Nn5fuXDGLyZHnRAsiLmPBwtfGQy/ACCZGOXbkClCwJ\nxMbKMbMDB9yiNJ3uOOUCyQ8/aJl78eLS4cHX17GfQ6cOHZJOJGYzkC2blK/zgDzYPUyfDgwbJuM6\ndYDffzd0YXQPxwskRO5gxAhJBAGgRw8mgobx4AEwZIg2/+gjj0kEAfk+ffddGcfG2tbGJJ3r3x8I\nDpbxH38Aq1apjYdcgiuDRDq1Zw9QrZqMc+aU1ZXcudXG5K4cvjI4ebKWATVsKLd/PGx15fp1oEQJ\nOX5mMgF797r13Rn3sm4d0KyZjIOC5IYxDyobEVcGiYzMbLatUTx+PBNBw7h8WZJBQPb2Z83yuEQQ\nAPLkse1bPGAAS80YxuuvA6+8IuOICNtbQeSWmAwS6dC33wK7d8u4bFngvffUxkOpMGIEcO+ejN97\nTxpIe6i+feXMKwDs2AF8/73aeMhOJpPc/PH2lvmUKVJVnNwWk0EinXnwABg5UpvPmsVmAIaxezew\nfLmM/f21YtMeyscHmDlTmw8bJh1KyADKlJFsHgDi4myflMjtMBkk0pmPP5adGQBo3FjbrSGds5aS\nsRo/HggIUBePTjRtKt/HAHccDWfsWCBXLhl/9ZUc/CS3xAskRDpy86ZUIbEeug8PZ39XV3DIBZKV\nK4E2bWRcpozUV+GSLgDbvtpZsgAnTwKFCqmOiuwyd64c+ASA2rWBbds88gysQfECCZERTZyodS7r\n0oWJoGE8fChnBa2mT2cimETZskDv3jK+f5/NLQylVy+5Fg4A27cDa9aojYecgiuDRDpx5owsKCUk\nSBWHU6e4euIq6V4ZnDNH2yKuXx/YsoWrJ8kkX/U+cACoWFF1VGSXtWuBFi1kHBwsBdR9fNTGRPbg\nyiCR0YwcKYkgAAwezETQMGJigAkTtPn06UwEUxAQIB35ADleOWQIS80YRrNm0gsTAE6fBhYsUBsP\nORxXBol0YPduoHp1GefJI8+32bOrjcmTpGtl8P33galTZdyxoxy0pxTFx8vq97lzMl+/Xi6YkAHs\n3w+EhMjY31+epKyXS0ivuDJIZBTWVRKrceOYCBpGRITUYwNk22ziRLXx6JyvL/Dhh9p8yBDg0SN1\n8VAqVKkCdO4s41u3gLAwtfGQQzEZJFJs7Vrgzz9lXLKk1tOVDGD0aFnuAqRlzHPPKQ3HCN58U1sF\nP3YMWLxYbTyUCpMmaW3p5s+Xg83kFpgMEimUkAAMH67Np07lJVTDOHhQ2xL292dRXjuZTMBHH2nz\nDz4A7txRFw+lQmAgEBoq4+RPXmRoTAaJFPrsM6m5BgC1agHNm6uNh+xksQBDh2o3IMaMkYSQ7FKz\npqwQAsD169qRSzKA4cOB/Pll/OOPwB9/qI2HHIIXSIgUuXNHqjRcvy7zv/4CqlVTG5OnSvUFkg0b\ngFdflXHRorLf6evrnODc1Nmzcpnk4UMgUyZ5UVS4sOqoyC6LF2vnWapUAfbsAby4tqRDvEBCpHfT\npmmJYJs2TAQNIzFRVgWtpkxhIpgGxYoB/frJOHk/btK5rl2BChVkvH8/8M03auOhdOPKIJECly5J\nUf+4ODkjePy4/HIkNVK1MvjFF8A778j4xRelLhDrCqbJrVuyOh4dLfN9+2ShiQxg0yatcXpgIHDi\nhPQaJD3hyiCRno0ZI4kgAPTpw0TQMO7ds+2lNmMGE8F08PeXCyRWoaEsRG0YjRppRyUiI4FZs9TG\nQ+nClUEiFzt8WNpwWSxAjhzShi4gQHVUns3ulcGJE7VksFkzqQtE6fLwIVCunNQwBqT1LS9SGcSR\nI9JA3WwGsmWTL2K+fKqjIg1XBon0atgwbfVj1CgmgoZx7Zp27dXbm1dgHcTHR87PWg0bprVlJJ0r\nVw7o0UPGsbHA+PFq46E0YzJI5EKbNgEbN8q4SBHtAD0ZwPjx8gsPkJuUpUurjceNtGgB1K4t45Mn\ngU8/VRsPpcK4cUDWrDJetEjODpLhMBkkcpHkl1AnTZKSGmQAJ04ACxfKOGtW+QVIDpO8EPWECcDt\n2+rioVTIl0+WcwF5khsxQm08lCZMBolc5KuvgEOHZFy5MtC+vdp4KBXef19+0QHyi4/nohzuxRe1\nn4kbN2y3jknnBg+2LUS9Y4faeCjVeIGEyAXi4qTvsPWOwtatQP36amMizVMvkGzfDtSpI+MCBaQf\nq3VbjBzq3DmgVCk5M5g5s/xXFyqkOiqyy6JFQM+eMq5RQxJC3rRXjRdIiPRk9mwtEXztNSaChmFt\nO2c1YQITQScqWhTo21fGcXHA2LFq46FU6NZNWsoAwK5dskJIhsGVQSInu34dKF4cuHtXOjb9/TdQ\ntqzqqCipJ64Mrlwp7WEAuTl56JDcJCanuXlTfl5u35afl0OHgPLlVUdFdlm3TkouAVJV/8gRqapP\nqnBlkEgvJkyQRBCQxhVMBA3i4UPbw/DTpjERdIGAAK01ndksxzXJIF5/XTtSceoU8NlnauMhu3Fl\nkMiJTp6UBaVHj2R38dQpOXZG+pLiyuCcOcDAgTKuXx/YsoVnoFwkLk7ODl68KHOesTWQPXu0Rut5\n8khVfT8/tTF5Lq4MEunBiBGSCALAkCFMBA0jJkaWdK2mT2ci6EKZMwNhYdp82DBZJSQDqFpVO1px\n/br87JDuMRkkcpIdO4DVq2WcP78kg2QQU6YA0dEy7tgRqFJFbTweqFMn6XQGAPv2yfFNMojJk7Wz\ngh99BFy+rDYeeiYmg0ROkPwS6vjx0rqTDCAiQraIAcDXV6qDk8t5e9vWGhwxAoiPVxcPpULx4sB7\n78n4/n0WaTcAJoNETvDDD1JdAZBqC926qY2HUmH0aC3r6N9f+gaSEq+8AjRsKONz59imzlDGjAGy\nZ5fx558DR4+qjYeeiskgkYM9fGh7A3LaNCBDBnXxUCocPCitYgAgVy7tWispYTLZrg6GhclxTjKA\n3Lm12/i8Fq57TAaJHOzTT+UCHQDUqydFpskArHv71goLo0cDOXOqjYlQqZIc2wSkBuHUqWrjoVQY\nMAAIDJTxunXAtm1q46EnYmkZIgeKiQGCg+WXFiAH33n3QP8CAwMR+dlnQNOm8kDRosCxY3JmkJQ7\nf15KzTx8CGTKJCWbChdWHRXZZelSoGtXGb/4IrB7N2/muw5LyxCp8OGHWiLYoQMTQUMZNkwbT5nC\nRFBHnnsO6NdPxg8esE2dobz1FlChgoz37gW+/15tPJQirgwSOUhEBFCypNw98PEBTpyQX2Kkf4G5\nciHy1i2ZVK0K/PUXVy90JjpaLqnGxMiX5tAhLccgnduwAXj1VRlz1d2VuDJI5GrJL6EyETSIe/ek\nEa4VC0zrUq5cwKhRMrZYgOHD1cZDqdC4MfDyyzLmtXBd4sogkQMcPChbwhYL4O8vF0j8/VVHRXaZ\nOBGBY8YgEgCaNQPWrlUdET3BgwdydjAiQuabN2s5BuncwYNA5coyDggATp/mBS3n48qgId2+rZW1\nIMNIfgl1zBgmgiqcOnUKNWvWRMmSJfHiiy/iyJEjz36nq1e166ne3ryqqnOZMgETJ2pztqkzkEqV\npK0MwGvhOsRkUC+WLpUDMW+9pVUrJkPYsAHYskXGRYsCvXurjcdT9ezZEz169MDJkycxfPhwdOnS\n5dnvNGECEBsr43ffBUqXdmqMlH4dOwIvvCDjAweAFSvUxkOpMHGiHKgGgNmzgYsX1cZDj6V6m7h0\n6dKWWOuTJznOvXtaNVUfHyBPHrXxkN2uXgUePZJxrlxA5sxq4/FEZrMZUVFRKFiw4OPHrly5gjx5\n8iBDChW/Y2NjEXf3LvL8u6x0BUCBAgUAL74+NoL4eODGDRl7e0vvbzKI27e1F2BZs3Kr2IkuXbp0\nwmKx2PUKl2cG9eLRI6B8ebmCCgCrVwMtW6qNiZ7p88+B7t1lnDHjQcTHV+LdAwX279+PDh064IT1\n5wdA1apV8eGHH6JBgwYpv1PLlsCaNQCAnCYTYrjfaCiNGwO//irjmTOBQYPUxkN2unULKFMGi2Nj\n0f38eelUQs7CM4OGkyGD7RmK4cOBhAR18dAz3bsn5wOtcuQIYyJoFNu3P04EUaAAYvmFMxx5upQE\nPixMcgwyAH9/4OxZjMuZk4mgjjAZ1JNmzfCX9TzFqVPAZ5+pjYeeauZM4MoVGTdvDvj67lEbkAcr\nXLgwrly5gkf/7tdbLBZEREQgKCjov29svfFjNWECtzsMqGJFIHPm1QAkEfzwQ8UBkf2yZFEdASXD\nZFBPTCac7dVLm48bB9y5oywcerKrV4Fp02RsvYQ6ePBgtUF5sLx586Jy5cr46t/b+D/88AMCAwMR\nHBz83zdetUpaYgFAuXJA167w8/NzYbTkKIMH33pcu3jOHK3kDOkfny/1hWcG9ahtW61lz+jRsgdC\nuvLee1rd1PfeAxYsUBsPASdOnECXLl1w8+ZNZM+eHUuWLEGF5C0qHj4EypaVQpAAsH490LSp9CaO\njHR90JRuw4ZJnXAA6NwZWLZMbTxEOmL3+Rcmg3p05gxQpoycGcycWbaMCxVSHRX96/hxueuTmAhk\nyya1U/PlUx0V2WXOHGDgQBk3aCBVi00mJoMGduuWVOW6dUsaxxw8qJWeIfJwvEBiaMWLa8Xq4uLY\nlV1nhg+XRNA6ZiJoEDExUlfQim3n3IK/v2ygAGxTR5RWXBnUq5s3JSm8fVtqnx06JMtRpNQffwB1\n68q4YEFZtOVZaIMYPlw76Nmxo023H64MGlt8vLSpu3BB5r/+CjRqpDYmIh3gyqDhBQQAI0bI2Gzm\ny10dMJuBIUO0eVgYE0HDiIiQLWIA8PUFJk1SGw85VPIvKdvUEaUOk0EdiomJQWBgIApNnYorGTPK\ngz//jBlNm6oNzMN9/z2wd6+MK1QA3n772e+zatUqdO3aFS1atEDJkiXxwgsvoFGjRjh9+rRzgyVb\no0fL8hEA9O8PFCli08v42rVr9vUyJt1q317a3wJAeDjw4ouz+DOnI/Xq1cP58+dVh0FPwGRQh3Lm\nzIkOHTqg16BBKLB48ePHh0RF8eWuIvHx2kItILuN3t7Pfr8ff/wRLVq0QI8ePXDixAkcOnQIzZs3\nR3dr2xJyvoMHtS3hXLmAkSMB2PYy9vPzs6+XMblMapMHLy/tVjEAXLzYC4cO8WdOz6wLHwEBAahY\nsSLKlCkDX19ffq0UYDKoQI0aNZA7d+4U/1z8t3F3eHg4KlWqBHTqhKvWxpsHDwLffqswcs81fz5g\n/b3UsKG0wnrWE1lCQgJ27NiBpk2bomnTpjD9e1mhevXqfIXsKtYC09az0WPGADlz4tq1a9i3bx86\ndeoEAMicOTMuXrzI1SOde9bPXJ06CciU6XcAwPXrmTFvHn/m9My68DFw4ECEh4dj9uzZqF69OhYn\nWQQh12AyqMCuXbtw48aNFP8ULlwYQJJk0MsLnxYvrr3zyJHAgweKIvdMt24BEyfK2GTSLqE+64ns\nt99+Q82aNZHRutX/rzlz5qB58+au/md4pg0bgC1bZFys2ONb+hcvXkSBAgWQIUOGx28aFBSECFYt\n1jV7fubq1fvl8SXxSZPkLh5/5tTo3LkzKlasiIoVK2Lfvn1o2rTp47k1OX/8uw7SY9w6JtdiMqhD\nly5dgslkQqF/awt+dfUqbteoIX8ZEQHMm6cwOs9hXcEtWHD+476nPj4r0LBhCiu4+O8T2Zo1a9Cy\nZUubjzl58mScPn0aU6ZMcc0/wpMlJspNAqvJkwFru0fSpfQmD2vWrEG3biHo2lXmt28DzZrt4c+c\nIsuXL0d4eDjCw8MREhKCn3/++fH8ueeeA8BkUDcsFktq/5CTrVu3ztK4cePH85CQEMvYli0tFpPJ\nYgEslpw5LZabNxVG6DnOnrVYfHzkvz1TJoslIsL27/PkyWOJjIy0WCwWS6tWrSxLly61WCwWi9ls\nthQrVsxy9+7dx287ffp0S5UqVSy3bt1yWfwe7fPP5QsHWCxVq1osZvPjv7p69arFz8/PkpCQYLFY\nLJZChQpZ8uXLZzl16pSqaCmZunXrWs6dO/efx+35mYuMtFgyZ7Z++RMs+/ffdmXolIKUvp6RkZGW\nvHnzPp4HBwdb9u/f7+LI3JrduR1XBnXo9ddfx4YNGx7P9+7di3GrV2vXV2NiWBrDRUaNkg5mgDSu\n+HcXH8B/V3APHz78uP3Znj17UKZMGWTLlg0AMHPmTHz77bfYtGkTcubM6dJ/g0e6d0/OB1rNmGFT\nYDp5L+O4uLgn9zIm3bD3Z65QIaBWrb/+fa8MmDIlu6KI6WkOHjxosxKYM2dOLGBvTyWYDBpJWBiQ\nKZOM580Dzp1TG4+b27dPu6+TOzfw/vu2f/+0JzLrLWIAiIyMRGhoKGJiYlC/fn1UrFgR1apVc8m/\nwWPNmgVcvizj5s2B2rX/8yYLFy7EwoULUbJkSdy9exdLlixxcZCUWqn5mdu0qRG8vW8AAFatAsqW\n5Q1VlX7//ffHW8NWKS188PKIGuxAYjQjRwLWsy/t2wPffKM2HjdlsQD16wPbtsl87lygXz/7379c\nuXL47bffkDdvXucESE8WFQUEB8vqoLc38M8/QOnST30XdiAxvpR+5hYuBHr1knGNGsCOHexASB7F\n7u92JoNGc/u2/KK7Ia94sXcvEBKiNiY3tHYt8O8iA4KDgSNHePfAMHr2BBYtknHv3lIX6BmYDLqn\nR4+A558Hjh2T+cqVwBtvqI2JyIXYjs5t5cgBfPCBNh8yRKuhRg6RkGB7CXXaNCaChnHkCGDdZvLz\nA8aNUxoOqZUhg9aOGpCjHtYzwESkYTJoRD17ynIVIPuY69erjcfNLFwInDwp49q1tRVCMoCkTWlH\njgTy5FEbDyn32mtAvXoyPnMG+OQTpeEQ6RK3iY3qhx+0/Y4yZYDDh+VlMKXL7dtA8eJSqBYAdu8G\nqlZVGxPZafNmoFEjGRcuDJw4AWTObNe7cpvYve3fr52myZVLkkJe6icPwG1it9eqlZyIBuRADG9C\nOsTkyVoi2L49E0HDSEwEQkO1+eTJdieC5P6qVAE6dpRxdLR8exCRhiuDRrZjB1Crlozz5wdOnQL+\nrWtHqXf+vFw6jY8HfH2B48eBZJUQSK+WLsXjthNVqgB79gBe9r/W5cqg+7twAShVij/f5FG4MugR\nXnoJsLY7i4oCZs5UG4/BjRwpvygAYMAA/qIwjPv3pTq41YwZqUoEyTMUKSI/14D8nCf9liHydFwZ\nNLqTJ4GyZWWbLGtW4PRpWSWkVNmzB7DWgQ4IkDNFOXKojYnsFBam3bBv1kzqAqUSVwY9Q0yM3L2z\nHgVhZS5yc1wZ9BglS8rtYkCK7I4frzYeA7JYbI+bjRvHRNAwoqKAqVNl7O2tjYlSkDMnMHasNmdl\nLiLBZNAdjB2rnRX87DPg6FG18RjMmjXAn3/KOGluTQYwdqy8CALkC/eMTiNEyStz/fST2niI9IDJ\noDvIm1drnJv8ViU91cOH/y0wnTGjungoFf75hwWmKdV8fGwXkIcNk04lRJ6MyaC7GDwYCAqS8YYN\nwC+/qI3HID79VI5ZAkDdunLkjAyCBaYpjVq2lPt3gNwqtnYvJPJUvEDiTr79FujQQcZlygCHDnGZ\n6yliYqTAdHS0zHmY3EA2bQJeeUXGqSwwnRJeIPE8f/2llWoNCJAXhSxETW6GF0g8Urt2QPXqMj52\njC93n2HSJC0R7NSJiaBhJCYCQ4dqcxaYpjSoXl0KywNyuzgsTG08RCpxZdDd7N6tJYQBAVKI2t9f\nbUw6dO6c3DV4+BDIlEkWlqy77KRzixcD774r4zQUmE4JVwY9U0SEFKJ+8EC6eR45IpfIiNwEVwY9\nVrVq2lYxX+4+0dChkggCwMCBTAQN484d22rBH33EAtOUZkFB2iLzo0e2C85EnoQrg+4o6cvdjBnl\n5W6JEqqj0o1t24B69WScL5/U7c6eXWlIZK/hw+XKNwC88QawcqVDPixXBj1XbKw8XV6+LPNNm4CG\nDdXGROQgXBn0aElf7iYk8OVuEomJshJoNWkSE0HDOHMGmD1bxj4+WlJIlA7ZsgFTpmjzQYNYaoY8\nD5NBdzVsGFCggIzXrgW2blUbj04sWQKEh8u4UiWgSxel4VBqDBum7e0PHgwULao2HnIbSS+Q/fMP\n8PnnauMhcjVuE7uzpUuBrl1l/PzzwIED0rLLQ925I7vl167JfNs2oE4dtTGRnX7/HahfX8b58snF\nKD8/h314bhPTjh1ArVoyzp1bSs2wLSUZHLeJCUDnzkDlyjI+fFiWxTzYpElaIvjGG0wEDSP53v7k\nyQ5NBIkAKULdtq2Mb9wAJk5UGw+RK3Fl0N1t365lPR58W+LMGaBsWdll9PWVMozcZTSIpKVkKlWS\n6uAOXuHmyiABwIULcpkkPl7u3h09qvUxJjIgrgzSv2rXBlq3lvHVq7YnpT3IkCE8bmZIyUvJzJ7t\n0UcdyLmKFJHnCoB378izcGXQE5w9K+3prMtix48Dzz2nOiqX2boVePllGefPL4uj3GU0CCeVkkmO\nK4NkFRsrZ4ujomS+ZQvQoIHamIjSiCuDlESxYtqZq/h4j3q5m5gopSKspkxhImgYSUvJ+PqylAy5\nREqlZhIT1cVD5ApMBj3FqFFAnjwyXrXKY0rNLF4sd2cA6VzWubPaeCgVkraJ4d4+uVDyu3dffKE2\nHiJn4zaxJ/niC+Cdd2Rcrhxw8KCcknZTMTGy3XPjhsy3b9dKR5DObd4MNGokYyeUkkmO28SUXNK7\nd3nyyLcgS82QwXCbmFLQpQtQtaqMjxwBFixQGo6zjR2rJYJt2zIRNIyHD4F+/bQ59/ZJgdq1gTff\nlPH168C4cUrDIXIqrgx6mj17gGrVZJw9u9ymyJdPbUxOcPiwVCExm4HMmeXOTFCQ6qjILh99pF3p\nrF5dqgF7Ofd1K1cGKSUXLsjdu7g4ucR+8CBQoYLqqIjsxpVBeoKqVYFu3WR85w4wYoTaeJzAYpGF\nJbNZ5qNGMRE0jCtXtCUYkwmYN8/piSDRkxQpAowcKePERHleSf36CZH+8VnWE02Zoh1+WbIE2L1b\nbTwOtmIF8McfMg4O1haZyACGDZPaHoAUmq5SRW085PGGDJGCDIC0sPzuO7XxEDkDk0FPlDcvMH68\nNk+6jGZwd+/aJn9z5khVEjKAP/8EvvpKxv7+0j+QSLFMmeR5xCo0VHu9QuQumAx6qt695UYxIO29\n3KRvcVgYcPmyjP/v/4CmTdXGQ3ZKTAT69tXmkyYBuXOri4coiddfB157TcaXL8vzDJE74QUST/bb\nb1pp/Tx55DJJzpxqY0qH48flcPejR7IaeOQIULy46qjILgsWAH36yLhiRWDfPpe2neMFEnqWpP3N\nM2aUS2qlS6uOiuipeIGE7FC/vm3thLFj1caTDtZLI48eyXzYMCaChnH9um3/4Xnz2H+YdKd4cXle\nAaRvcf/+vExC7oMrg54uIkJe3lprJ4SHA+XLq44q1X74QVrXAnID8OhRIEsWtTGRnXr0AD77TMad\nOwPLlrk8BK4Mkj3u35dSMxERMl+9GmjZUm1MRE/BlUGyU1CQbe2EPn0M93L3/n3b/sOzZjERNIx9\n+6RnICCFpadOVRsP0VNkyQLMnKnNBw6U5x8io2MySLa1E/74A1i+XG08qTRlCnDxooxfeQVo0UJt\nPGQns1kujVhffIwfD+TPrzYmomdo1UrrlBgRAXz4odp4iByB28QkNmwAXn1VxrlzAydOALlyqY3J\nDqdOya629VD3338DpUqpjorssnAh0KuXjMuWlSMKinplc5uYUiP5ZbW//5Y+6EQ6w21iSqUmTbRD\ndzduGKIzicUCvPeeJIKAbBUzETSIq1eB99/X5gsWKEsEiVKrdGntaEp8vFTqMtjpGiIbXBkkzaVL\n8ixnrai6a5f0htWpr78GOnWScVCQXBrJmlVtTGSnTp3kCwgAb78NLF2qNByuDFJqxcbKgrb1iMrX\nXwMdOqiNiSgZrgxSGhQqZFtNtVcvrVaLzty6BQwerM3nzWMiaBhbtmiJoL8/MH262niI0iBbNnne\nsRo0SJ6XiIyIySDZ6ttXiv4CwKFDwMcfq43nCUaMAK5dk3HLltJthAzgwQPZ27eaNk0KnhMZULNm\n2oW1a9e0wgxERsNtYvqv3buBGjXkEEy2bMCxY0BgoOqoHtu1C6hZU8Y6DI+eZsIErbj5Sy/J7XUv\n9a9JuU1MaXXxotQevHcPMJmAnTt1fbqGPAu3iSkdqlWTQsCAHIwZOFBtPEkkJAA9e2rzCROYCBrG\nqVPA5MkyzpAB+OQTXSSCROlRuLA8DwHy+rlnT92eriF6Ij4TU8qmTNG27374AVi7Vm08/5ozR8o4\nALKb3a+f2njIThaLFDSPj5f54MFSm4PIDfTvr52uOXxYnqeIjITbxPRk33wDdOwo44IF5bpujhzK\nwrlwQW7v3b8v2zF//QVUraosHEqNL7+UVnOA9As8ckRXN364TUzptWePbA9bLNKp5OhR+VYnUojb\nxOQA7dtrhagvX1Zae9C6/WJt/dS7NxNBw7h2zfaoAa9+kxuqWlW7G3X/vhRjYO1BMgquDNLTXbgA\nlCsnp6MBYPt2oFYtl4exfLmUowN0sUhJqdGuHfDdd9r422/VxpMCrgySI9y+LbsXly/LfPly4K23\n1AVE36MAABWMSURBVMZEHo0rg+QgRYpoh/4B4N13pTyIC129aruw9OmnTAQNY906LRHMlYuHqcit\n5cgh96KsBg6U5y8ivWMySM/Wp4/cMAakKWfS5NAF+vXTirm2a8eagoZx+7ZtTcHZs4G8edXFQ+QC\nzZoBbdvKODpaLpcQ6R23ick+f/8NVK4sNRMyZAAOHHDJbdAffwRatZJxQIBsDzOfMIhevYCFC2Xc\npAnw889y80eHuE1MjnTtmtQejI6W+Y8/asWpiVyI28TkYBUqAO+/L+NHj4Du3YHERKd+ylu35KKI\n1Zw5TAQNY9s2LRHMmlX29nWaCBI5Wt68ticievcGYmLUxUP0LEwGyX6jRgGlSsl4zx5g5kynfrqh\nQ4GoKBk3bcom8IYRFydnS62mTGGNDfI4HTtqxRiuXJHnMyK94jYxpc6OHUDt2lIzwddXtovLlnX4\np9m8GWjUSMbZssn2cOHCDv805AxDhgAffSTjGjXkBrq3t9qYnoHbxOQMERFSjCE2VuabNwMvv6w2\nJvIo3CYmJ3npJekeAUg3ibffdnjvpdu3gXfe0ebTpjERNIzt27UVY19fYPFi3SeCRM4SFARMnarN\nu3UD7txRFw/RkzAZpNQLC9O2i/ftk2zNgQYNklfUAFCvnm0vYtKx2FigSxet0u7EiU5ZNSYykl69\ngLp1ZRwRIc9vRHrDbWJKm927gZo1AbMZyJhRksLnn0/3h123TkozAICfn/T5fO65dH9YcoXevbUi\nay+9JJdIDLIqyG1icqZz5+Tp0bpdvG4d8PrramMij8BtYnKyatWAYcNknJAg28UJCen6kDdu2N47\nmDWLiaBh/PqrlghmyQIsXWqYRJDI2YoWleczq3ffBW7eVBcPUXJMBintxo2T09EAEB4OTJqU5g9l\nscjCkrVa/2uvyfkaMoCYmP8e8gwOVhcPkQ698448rwFSJSFp2Swi1bhNTOmzf7+sEiYmSjHqXbuA\nkJBUf5gVK4D27WWcKxfwzz9AgQIOjpWco2tXWQkE5Krkr78CXsZ6ncltYnKFK1eA8uW1YtQrVmjd\nSoicgNvE5CJVqgAjR8r40SMprnXvXqo+xOXLtq+SP/mEiaBhrF2rJYJ+fsAXXxguESRylQIFgAUL\ntHnv3pIgEqnGZ21Kv9GjJSkEgJMnU3VdzmyW7RNr7+G2bYE2bZwQIzne5cu228Nz5kgtDSJ6oqTP\ncdHRchzGbFYbExGTQUo/Hx/gm2/k4gAAfPaZNOO0w5w5wIYNMs6fH5g/30kxkmOZzUDnztop+ObN\npawMET3TggXyfAfI89/cuWrjIWIySI5RsqTtM1r37sClS099lwMHgOHDtfny5UBAgJPiI8eaMQPY\nskXGBQtKcWn2HiayS0AAsGyZNh82TJ4PiVRhMkiO060b0KqVjKOjpdzME/Y/YmOBdu20ajTDhmnt\n50jn9u2TPtWAJIBffgnkzq02JiKDeeUVrV9xQoJcoLPWISRyNSaD5Dgmk2wRFyok8y1btB61yfTv\nD5w6JeOQEGlqQgZw96781rK2IBw+HGjQQG1MRAY1caJWfOHkSWDAALXxkOdiaRlyvN9+kxIjFot0\nJ9m1S7tgAtsyMtmyAQcPsiydYSQtI1O1KvDnn/I1NjiWliFVTp0CKlfWVgVZboYciKVlSKH69W33\nP9q0kcLEkLZMSXsNL1jARNAwVqzQEsFs2eTSkBskgkQqlShhe3GuRw95niRyJSaD5BxhYcCLL8r4\n7Fmga1c8jLegfXvgzh15uFMn4K231IVIqXDihG2vwAULgOLF1cVD5EbeektKtALy/NihA/DwodqY\nyLMwGSTn8PEBVq4E/P1lvmYN1r88E7t3y7RYMZaRMYzYWLkYZN3HYhZP5FAmk7y+KlZM5n/9BQwZ\nojYm8ixMBsl5ihSRm6b/+r8dw/ES/oSvL/D990D27ApjI/tYLLJvdfSozMuVAz79VG1MRG4oe3Z5\nXvTxkfnHHwPffqs2JvIcTAbJuV57DdfeGQEAyIBEfIe2WDz5WtL7JKRnCxZov5H8/IAffgCyZlUb\nE5GbqlIFmDdPm3fvLn3aiZyNySA51e3bQJ3fJ+A31AMAFMJldPqlI5CYqDYwerbdu21bC37xBVCq\nlLp4iDxA9+5SshUA7t+XExq3b6uNidwfk0FyGotFOpSdOJMB7fEtbmT4t//S5s3AuHEqQ6NnuX4d\neOMNrSr44MEyJyKnMplkdbBSJZmfOiUVnVJfBY7IfkwGyWmmTQPWrJHxQ//8SPhyBeD177fcxIly\nQIb059EjudporbtXqxbw4YdqYyLyIJkzy4kM6/27H38Epk9XGxO5NyaD5BQbNgAjR8rYZAK+/hoo\n0K6uZIhWXbqwIaceDR0KbNok43z5gO++Yz1BIhcrWhT46iut5feIEcDGjWpjIvfFZJAc7vhxqaBv\nbUv8wQfAq6/++5eDB0sSCABxcUDz5kBUlIowKSVffAHMni3jDBlk9bZgQbUxEXmopk3l+ROQ59O2\nbeX5lcjR2I6OHCo6GqhWDTh9WuYtWwKrVmm7wwCA+HjpZ7tzp8yrV5cWdpkyuTxeSuLPP+XrYj0n\nuGiRbaFpN8Z2dKRXZjPQurV25CY4WO525cqlNi4yBLajI9dLSADefFNLBF94AVi+PFkiCAC+vsDq\n1UDhwjL/6y+pZccT0uqcPy/XFq2JYL9+HpMIEumZl5eUa33hBZmfPi3Ps9YfVSJHYDJIDmGxAL17\nA1u3yjxvXuB//5MWtinKlw9YuxbIkkXmX37JE9Kq3Lol+1HXr8u8YUNg5ky1MRHRY9myydNl3rwy\n37oV6NOHr5/JcZgMkkNMmgQsXixjHx/Z0ggKesY7VaokS4dWw4cDK1Y4LUZKQXy87OUfOybzkiXl\nnGCGDGrjIiIbRYrIrWJrh5LPPgMmT1YbE7kPJoOUbkuXAmPG2M5r1LDznVu3BiZM0OZvvy3nB8n5\nzGYpYLZtm8zz5AF++UWrZ0FEulKzpjy/Wo0eDSxbpiwcciNMBildfv3V9mjZtGlA+/ap/CCjR0vZ\nfQB4+BBo0QL4+2+HxUhPMGqU1mouc2bgp5+AYsXUxkRET9W+PTB1qjbv3l2rBEWUVkwGKc327JGF\nvUePZN63LzBkSBo+kMkEfPIJ8NprMr9zR2rRREQ4LFZKZsYMrZC0l5dsz1etqjYmIrLL0KFyZhCQ\n599WrYC9e9XGRMbGZJDS5J9/gCZNgNhYmbdoIeXpTHZfZE8mQwYpbvziizK/dAl4+WXgyhWHxEtJ\nLF4sv02s5s0DmjVTFw8RpYrJBMyZI8+7gDwPN2kiz8tEacFkkFLt9GmgUSO5hAoA9eoB33wDeHun\n8wNnzSpblSVK2H6imzfT+YHpsZUrpYyPVVgY8N576uIhojTx9pbn3Xr1ZB4dLU+X1tJeRKnBZJBS\n5eJFqTxibRpStaqUkMmc2UGfIG9eYMsWuToHAEeOyEveO3cc9Ak82Pr10nPYWo9i8GA5N0hEhpQ5\nszz/WjdUoqLk+fniRbVxkfEwGSS7RUTIq9ALF2RevrxcPvXzc/AnKlwY2LwZyJ9f5vv2yRlCJoRp\n99NPUkLGWqm2Wzc5N5jmfX0i0gM/P3keLl9e5hcuyPM0j1xTajAZJLucPw/UrQucPSvz4GC5Sey0\nlkjBwZIQBgTIfOdO4JVXgJgYJ31CN7ZunW13kXbtpNUcE0EitxAQIM/HwcEyP3vW9oU70bMwGaRn\nOntWEsHz52VeogTw++9AgQJO/sTlytkmhLt3y6WS6Ggnf2I3snatXPm2JoIdOki3l3Qf8CQiPSlQ\nQEq0Wo9cnzsnz9vnzqmNi4yBySA91dGj8oRi3XIoVUpqFBcq5KIAKlaUZ7g8eWR+4ADQoAFw9aqL\nAjCw5cv/mwguW8buIkRuKjBQXqiXKiXzCxeAOnXkeZzoaZgM0hPt2gXUqgVERsq8TBkXrQgmV6GC\nfGLrGcJDh6QUP6/NPdnMmdLNJTFR5p06SXLIRJDIrRUsKK+fy5SReWQkULu2PJ8TPQmTQUrR+vWy\nI2stH1O5sm0+5nJly8qSZGCgzM+elYRw3z5FAemUxQKMHAmEhmqP9e0rK4LcGibyCAUKyPN15coy\nj46W5/P165WGRTrGZJD+Y9EioHlzIC5O5i+/LE8sefMqDQsoWVJe3pYrJ/Pr1+WU9IYNSsPSjbg4\nKR0zZYr22LhxwNy50mWEiDxG3ryyQvjyyzKPi5Pn9UWL1MZF+sTfEPTYo0dA//5Az57a7mLbtvJq\n0uHlY9IqMBDYvl32PQDg3j1pYzdzplY/zxNFRQH162u9hk0mYP58YOxY3hom8lDZs8vzd5s2Mk9M\nlOf3/v21NqJEAJNB+tetW1LK7+OPtccGD5YK976+6uJKkb+/1FFo3VrmZrNsi3btCjx4oDY2FcLD\npfr37t0yz5IFWL0a6N1bbVxEpJyvr7xGHDxYe+zjj4GmTbVjQERMBgkHD0oF+82bZZ4xI/D558BH\nH+l4dzFTJuD774HRo7XHli3zrGqrFot8oWrU0FoOBAYCO3ZoTUuJyON5ecnz+eLF8vwOAJv+v737\nDa2y/OM4/jmbGXPHWOKDimOsuZmK4a9s6Wo9SIJlUvmgjLB/ZLBiZQX9eVQQPogMlkE4yggKfFBT\nHLN/EPVgictCVy3JHIutBkFg/9hKTmfevwef3/FMt5874c7uc871fsFh7p64a0zu+3Ou63t9r499\n3+/ri3dsKA7F+qjHLIgirySuWSMNDvrawoXSp5/6gIqiV1Hhs3XfeSd3Ht7Bg25H09UV79gKbWxM\nuv9+6cEHc7OhjY3SF1/45weAM2ze7NM+Fy7054ODvv/v2BF2lQ0Ig8H69VfXkTzyiJRO+1pjo/Tl\nl24nU1I2bvRsWPY8499+89Frjz5ansvGhw97Wfjtt3PXHn5Y6umJoe8PgFJy/fW+z199tT9Pp6W2\nNt9GWTYOF2EwQN3d3pC7e3fu2uOPS/v3S7W1sQ3r3Fx5pWvnsnWEkvTqq+6t8Pnn8Y1rJv3zj3cH\nr16d6yJbXe3Czh07vHQOANOorfX9/rHHctd27/Zzobs7tmEhRoTBgBw/7t7Dt93mzaeSVFMj7d0r\nvfyyNHduvOM7ZzU1Umen1NGR2/Xy3XfuR/jEE15aLVVffeUQ+PzzuW2AK1e6z+Jdd8U7NgAl5/zz\npe3bff+vqfG1n3/28+Huu/28QDgIgwHIZDxxtGSJtGtX7vr69dK335bZXoNEQnroIa+DrFrla1Hk\nu96KFdKePaVVHHP8uHcFr1qVq/SurJSee871gUuXxjs+ACVtwwapv9+7i7N27fKRdh0dtKAJBWGw\nzH3yiVdQ29pcJyj5XeBbb0n79s3iGcOz7YorvDz84ou5WcKhIen2273j+NChOEc3vXQ6l+A7Otw+\nR/I6zsGDniEs+alcAMUglZLee8/PhewsYfZ96FVXeVMhyhthsAxFkTvP33CDdOONnv3L2rRJOnJE\nuvfeAHoRz5kjPf209M030tq1ues9Pd4ts3Gjl1+LSTot7dzpEDgxwSeTDraHDuVmPAFghiQSfi4c\nOeLnRFZ/v08xWbvWJ1GV0sIK8peI/v1vlv8KRSqTkT74QHrpJRcHT9TYKL3yilvSBSmKPBX65JPS\nwMDpX1u/XnrmGW+jjish//6735Zv3+4ZzIk2bZK2bfMJ9CiIVCqlkZGRuIcBFI0DB7zB5Mzj35ub\n/R775ps57rwE5P1AIwyWgZER9x5+4w3/eaKGBunZZ50niraB9GzKLr++8IL0yy+nf235cvftu+ee\nXCOuQooiz/S9/rqLdP766/Svr1vn3cPXXFP4sQSOMAhMdvKkb01bt05+D51K+Xa5ebP/jKJEGCx3\nx465r/LevVN3Tlm2zIdz3Hkn796m9PffTtDbtuVO78g67zyvsd96q3TLLdKll87c981kvLllzx6/\nzpwFlKSWFofANWtm7vvirAiDwP83Pu7e/lu3SkePnv61RMK3qg0b/FqyJJ4xYkqEwXIRRd7uPzjo\nSaTeXk/fT/Xcqqjwimdrq3TTTYTAvKTTvsvt3Cl99tnUf+fyy93WZfVqd2pdvFhasGD6JeVMxmHv\n2DGvtezf71/g6Ojkvzt/vnTffW4evXz5Of9YIdqyZYu6u7s1PDysvr4+/edfnMRCGASmNz4uffSR\n9Npr0vvv5/a1TZRKuZtXU5PLm+vrpYsuCqBGvTgRBkvNgQNevRwbc1YYG3MZ2dCQJ7HOZsUKb5J9\n4AFp0aJZGW55+v57r7W/++705xsnk+7ceuGFbvZcVeU0/uef0h9/+Jc3PHz2vgyVla7MvuMOT+HO\nnz+jP05oenp6VFdXp+bmZnV1dREGgQL66SfpzTfdrHriJsWpVFX5dllT4z75yaQ/trUFXMc+OwiD\npaaz05tb81Fd7TKydet86lp9fWHHFpwo8g7kffvcb+HwYZ/+MRMuucTnQbW0uLvrggUz8+/ilNra\nWsIgMIsGBly29OGHbn+ab3//zk5PZKBg8g6Dcwo5CuSvunrytaoql6stXizV1bkO8NprPRM4h99c\n4SQSPt1j5UoXXp44IX39tfv79fd7xm9oyB+zBztPVFEhXXCBz0puaPBr2TLpuuukyy5jvaQItLe3\nq729/dTno1Mt3QPIS0OD9NRTfmUyvk329voAqB9+cJnTjz9OXuWa6rmHeDAzWCRGR10bmEz6NW8e\nNX9FL4o8Y3jihO9yJ086BM6bR+CbYU1NTRo4czvj//T19WnRhPoIZgaB4jQ+7qYJo6N+XXyxn3co\nGGYGS00y6XdXKCGJhE8BmTvXIRAF09vbG/cQAJyjykqXRlMeXXzoPAcAABAwwiCAstDa2npqubel\npUX17KwCgLxQMwggeNQMAihDedcMMjMIAAAQMMIgAABAwAiDAAAAASMMAgAABIwwCAAAEDDCIAAA\nQMAIgwAAAAEjDAIAAASMMAgAABAwwiAAAEDACIMAAAABIwwCAAAEjDAIAAAQMMIgAABAwAiDAAAA\nASMMAgAABIwwCAAAEDDCIAAAQMAIgwAAAAEjDAIAAASMMAgAABAwwiAAAEDACIMAAAABIwwCAAAE\njDAIAAAQMMIgAABAwAiDAAAAASMMAgAABIwwCAAAEDDCIAAAQMAIgwAAAAEjDAIAAASMMAgAABAw\nwiAAAEDACIMAAAABIwwCAAAEjDAIAAAQMMIgAABAwAiDAAAAASMMAgAABIwwCAAAEDDCIAAAQMAI\ngwAAAAEjDAIAAASMMAgAABAwwiAAAEDAElEUxT0GAIhVIpE4GkXR0rjHAQBxIAwCAAAEjGViAACA\ngBEGAQAAAkYYBAAACBhhEAAAIGCEQQAAgIARBgEAAAJGGAQAAAgYYRAAACBghEEAAICA/RcpHjGZ\nd9iK7AAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "figure(figsize=(10, 6), dpi=80)\n",
+ "# 设置图片边界\n",
+ "xmin, xmax = X.min(), X.max()\n",
+ "ymin, ymax = C.min(), C.max()\n",
+ "\n",
+ "dx = (xmax - xmin) * 0.2\n",
+ "dy = (ymax - ymin) * 0.2\n",
+ "\n",
+ "xlim(xmin - dx, xmax + dx)\n",
+ "ylim(ymin - dy, ymax + dy)\n",
+ "\n",
+ "# xticks( [-np.pi, -np.pi/2, 0, np.pi/2, np.pi])\n",
+ "# yticks([-1, 0, +1])\n",
+ "\n",
+ "xticks([-np.pi, -np.pi / 2, 0, np.pi / 2, np.pi],\n",
+ " [r'$-\\pi$', r'$-\\pi/2$', r'$0$', r'$+\\pi/2$', r'$+\\pi$'])\n",
+ "\n",
+ "yticks([-1, 0, +1],\n",
+ " [r'$-1$', r'$0$', r'$+1$'])\n",
+ "\n",
+ "ax = gca()\n",
+ "ax.spines['right'].set_color('none')\n",
+ "ax.spines['top'].set_color('none')\n",
+ "ax.xaxis.set_ticks_position('bottom')\n",
+ "ax.spines['bottom'].set_position(('data', 0))\n",
+ "ax.yaxis.set_ticks_position('left')\n",
+ "ax.spines['left'].set_position(('data', 0))\n",
+ "\n",
+ "plot(X, C, color=\"blue\", linewidth=2.5, linestyle=\"-\", label=\"cosine\")\n",
+ "plot(X, S, color=\"red\", linewidth=2.5, linestyle=\"-\", label=\"sine\")\n",
+ "\n",
+ "legend(loc='upper left')\n",
+ "\n",
+ "show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 17,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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kq69kssNk9WqgVy/t4skORyk6bYnVq83rNH71VTabgaSmSpuTH3+U40KFgIMH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\nRK5CYII=\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "figure(figsize=(10, 6), dpi=80)\n",
+ "# 设置图片边界\n",
+ "xmin, xmax = X.min(), X.max()\n",
+ "ymin, ymax = C.min(), C.max()\n",
+ "\n",
+ "dx = (xmax - xmin) * 0.2\n",
+ "dy = (ymax - ymin) * 0.2\n",
+ "\n",
+ "xlim(xmin - dx, xmax + dx)\n",
+ "ylim(ymin - dy, ymax + dy)\n",
+ "\n",
+ "# xticks( [-np.pi, -np.pi/2, 0, np.pi/2, np.pi])\n",
+ "# yticks([-1, 0, +1])\n",
+ "\n",
+ "xticks([-np.pi, -np.pi / 2, 0, np.pi / 2, np.pi],\n",
+ " [r'$-\\pi$', r'$-\\pi/2$', r'$0$', r'$+\\pi/2$', r'$+\\pi$'])\n",
+ "\n",
+ "yticks([-1, 0, +1],\n",
+ " [r'$-1$', r'$0$', r'$+1$'])\n",
+ "\n",
+ "ax = gca()\n",
+ "ax.spines['right'].set_color('none')\n",
+ "ax.spines['top'].set_color('none')\n",
+ "ax.xaxis.set_ticks_position('bottom')\n",
+ "ax.spines['bottom'].set_position(('data', 0))\n",
+ "ax.yaxis.set_ticks_position('left')\n",
+ "ax.spines['left'].set_position(('data', 0))\n",
+ "\n",
+ "for label in ax.get_xticklabels() + ax.get_yticklabels():\n",
+ " label.set_fontsize(16)\n",
+ " label.set_bbox(dict(facecolor='white', edgecolor='None', alpha=0.65))\n",
+ "\n",
+ "t = 2 * np.pi / 3\n",
+ "plot([t, t], [0, np.cos(t)], color='blue', linewidth=2.5, linestyle=\"--\")\n",
+ "scatter([t, ], [np.cos(t), ], 50, color='blue')\n",
+ "\n",
+ "annotate(r'$\\cos(\\frac{2\\pi}{3})=-\\frac{1}{2}$',\n",
+ " xy=(t, np.cos(t)), xycoords='data',\n",
+ " xytext=(-90, -50), textcoords='offset points', fontsize=16,\n",
+ " arrowprops=dict(arrowstyle=\"->\", connectionstyle=\"arc3,rad=.2\"))\n",
+ "\n",
+ "plot([t, t], [0, np.sin(t)], color='red', linewidth=2.5, linestyle=\"--\")\n",
+ "scatter([t, ], [np.sin(t), ], 50, color='red')\n",
+ "\n",
+ "annotate(r'$\\sin(\\frac{2\\pi}{3})=\\frac{\\sqrt{3}}{2}$',\n",
+ " xy=(t, np.sin(t)), xycoords='data',\n",
+ " xytext=(+10, +30), textcoords='offset points', fontsize=16,\n",
+ " arrowprops=dict(arrowstyle=\"->\", connectionstyle=\"arc3,rad=.2\"))\n",
+ "\n",
+ "plot(X, C, color=\"blue\", linewidth=2.5, linestyle=\"-\", label=\"cosine\")\n",
+ "plot(X, S, color=\"red\", linewidth=2.5, linestyle=\"-\", label=\"sine\")\n",
+ "\n",
+ "legend(loc='upper left')\n",
+ "\n",
+ "show()"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2.0
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.13"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
\ No newline at end of file
diff --git a/test/Matplotlib-2.ipynb b/test/Matplotlib-2.ipynb
new file mode 100644
index 0000000..d12bcbe
--- /dev/null
+++ b/test/Matplotlib-2.ipynb
@@ -0,0 +1,87 @@
+{
+ "cells": [
+ {
+ "cell_type": "code",
+ "execution_count": 69,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# 直方图\n",
+ "import numpy as np\n",
+ "import pylab as pl\n",
+ " \n",
+ "# make an array of random numbers with a gaussian distribution with\n",
+ "# mean = 5.0\n",
+ "# rms = 3.0\n",
+ "# number of points = 1000\n",
+ "data = np.random.normal(5.0, 3.0, 1000)\n",
+ " \n",
+ "bins = np.arange(1., 5., 1.) #浮点数版本的range\n",
+ "pl.hist(data, bins, histtype='stepfilled')\n",
+ "# make a histogram of the data array\n",
+ "pl.hist(data)\n",
+ "# pl.hist(data, histtype='stepfilled')\n",
+ " \n",
+ "# make plot labels\n",
+ "pl.xlabel('data')\n",
+ "pl.show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 72,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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kNc4gkKTGGQSS1DiDQJIaZxBIUuMMAklqnEEgSY0zCCSpcQaBJDXOIJCkxhkEktQ4g0CS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\n4wwCSWqcQSBJjfv/d5r+Q9bxTgMAAAAASUVORK5CYII=\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "f1 = pl.figure(1)\n",
+ "pl.subplot(221)\n",
+ "pl.subplot(222)\n",
+ "pl.subplot(212)\n",
+ "pl.show()"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2.0
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.13"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
\ No newline at end of file
diff --git a/test/Matplotlib-3.ipynb b/test/Matplotlib-3.ipynb
new file mode 100644
index 0000000..4db79af
--- /dev/null
+++ b/test/Matplotlib-3.ipynb
@@ -0,0 +1,412 @@
+{
+ "cells": [
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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QrlS8LjjNv4PKHVy/1PBcxElUnDCIjWGM0ZgBWm9RloGLqAcDiXq/p7z3kEMI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\nQmCC\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# 3D图\n",
+ "from mpl_toolkits.mplot3d import Axes3D\n",
+ "from pylab import *\n",
+ "\n",
+ "fig = figure()\n",
+ "ax = Axes3D(fig)\n",
+ "X = np.arange(-4, 4, 0.25)\n",
+ "Y = np.arange(-4, 4, 0.25)\n",
+ "X, Y = np.meshgrid(X, Y)\n",
+ "R = np.sqrt(X ** 2 + Y ** 2)\n",
+ "Z = np.sin(R)\n",
+ "\n",
+ "ax.plot_surface(X, Y, Z, rstride=1, cstride=1, cmap='hot')\n",
+ "\n",
+ "show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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XvvZD/r9ffSAf7gEZTcEnv/oUf/LJey/rvCOKIrFEioN943zvrdN8bM/GNTVz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mDGmMosuzFmZN/GWmG7TCImHIkyMGVlT3MtF/vHMTrcJBLJLEC7x4fZ6aWxooj7tyVraBKJBGKR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\noeBFCCGk41DwIoQQ0nH+H8tKUN4uLd2BAAAAAElFTkSuQmCC\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# 手稿图\n",
+ "import matplotlib.pyplot as plt\n",
+ "import numpy as np\n",
+ "\n",
+ "eqs = []\n",
+ "eqs.append((r\"$W^{3\\beta}_{\\delta_1 \\rho_1 \\sigma_2} = U^{3\\beta}_{\\delta_1 \\rho_1} + \\frac{1}{8 \\pi 2} \\int^{\\alpha_2}_{\\alpha_2} d \\alpha^\\prime_2 \\left[\\frac{ U^{2\\beta}_{\\delta_1 \\rho_1} - \\alpha^\\prime_2U^{1\\beta}_{\\rho_1 \\sigma_2} }{U^{0\\beta}_{\\rho_1 \\sigma_2}}\\right]$\"))\n",
+ "eqs.append((r\"$\\frac{d\\rho}{d t} + \\rho \\vec{v}\\cdot\\nabla\\vec{v} = -\\nabla p + \\mu\\nabla^2 \\vec{v} + \\rho \\vec{g}$\"))\n",
+ "eqs.append((r\"$\\int_{-\\infty}^\\infty e^{-x^2}dx=\\sqrt{\\pi}$\"))\n",
+ "eqs.append((r\"$E = mc^2 = \\sqrt{{m_0}^2c^4 + p^2c^2}$\"))\n",
+ "eqs.append((r\"$F_G = G\\frac{m_1m_2}{r^2}$\"))\n",
+ "\n",
+ "plt.axes([0.025, 0.025, 0.95, 0.95])\n",
+ "\n",
+ "for i in range(24):\n",
+ " index = np.random.randint(0, len(eqs))\n",
+ " eq = eqs[index]\n",
+ " size = np.random.uniform(12, 32)\n",
+ " x, y = np.random.uniform(0, 1, 2)\n",
+ " alpha = np.random.uniform(0.25, .75)\n",
+ " plt.text(x, y, eq, ha='center', va='center', color=\"#11557c\", alpha=alpha,\n",
+ " transform=plt.gca().transAxes, fontsize=size, clip_on=True)\n",
+ "\n",
+ "plt.xticks([]), plt.yticks([])\n",
+ "# savefig('../figures/text_ex.png',dpi=48)\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# 极轴图\n",
+ "from pylab import *\n",
+ "\n",
+ "axes([0, 0, 1, 1])\n",
+ "\n",
+ "N = 20\n",
+ "theta = np.arange(0.0, 2 * np.pi, 2 * np.pi / N)\n",
+ "radii = 10 * np.random.rand(N)\n",
+ "width = np.pi / 4 * np.random.rand(N)\n",
+ "bars = bar(theta, radii, width=width, bottom=0.0)\n",
+ "\n",
+ "for r, bar in zip(radii, bars):\n",
+ " bar.set_facecolor(cm.jet(r / 10.))\n",
+ " bar.set_alpha(0.5)\n",
+ "\n",
+ "show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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qf+0ePwCcn+TiPvtKI7GvpU6fIDgEbE+yLclmYA9wcHZAkl9Mku7xju55n+2zrzQS+1rq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\ngg==\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# 多重网格\n",
+ "from pylab import *\n",
+ "\n",
+ "subplot(2, 2, 1)\n",
+ "subplot(2, 2, 3)\n",
+ "subplot(2, 2, 4)\n",
+ "\n",
+ "show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": "iVBORw0KGgoAAAANSUhEUgAAAWQAAADuCAYAAAAOR30qAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nWH0GVwAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# 网格\n",
+ "from pylab import *\n",
+ "\n",
+ "axes = gca()\n",
+ "axes.set_xlim(0,4)\n",
+ "axes.set_ylim(0,3)\n",
+ "axes.set_xticklabels([])\n",
+ "axes.set_yticklabels([])\n",
+ "\n",
+ "show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 14,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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X6PXr19yKPTIyklauXEnt2rXTWdjVqlWjf/75h0s+It2F7eHhQSVLliQg+0shISEh3DIS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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# 量场图(Quiver Plots)\n",
+ "from pylab import *\n",
+ "\n",
+ "n = 8\n",
+ "X, Y = np.mgrid[0:n, 0:n]\n",
+ "quiver(X, Y)\n",
+ "show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 15,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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M0l+WB/dWz7rC7NN0UvDqPfatwuMobX9oYLBmOk3hKYWlmYad/520lb4pbbw6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\n9Ytf/PjfldbiaObEkMSGvNxXALw51nO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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# 饼状图\n",
+ "from pylab import *\n",
+ "\n",
+ "n = 20\n",
+ "Z = np.random.uniform(0, 1, n)\n",
+ "pie(Z)\n",
+ "show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 17,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": "iVBORw0KGgoAAAANSUhEUgAAAUcAAAD8CAYAAADkM2ZpAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "text/plain": [
+ "(, None)"
+ ]
+ },
+ "execution_count": 17,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "# 灰度图(Imshow)\n",
+ "from pylab import *\n",
+ "\n",
+ "def f(x, y):\n",
+ " return (1 - x / 2 + x ** 5 + y ** 3) * np.exp(-x ** 2 - y ** 2)\n",
+ "\n",
+ "n = 10\n",
+ "x = np.linspace(-3, 3, 4 * n)\n",
+ "y = np.linspace(-3, 3, 3 * n)\n",
+ "X, Y = np.meshgrid(x, y)\n",
+ "imshow(f(X, Y)), show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 18,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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kZt/8ra0ufP3ktAtR4h4WRvue3nTs64t3W+cmS3jm4mXH4q2Psm3FKVa8tJO0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\nzJzhi5dXw1MJuLmp2LmjD2M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s3ajMTap5zab6DebGikqColrYb4yK0dUh7EWFBpycauaJ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\nUChaGSWxKxQKRSujJHaFQqFoZf4fDk7MDb01wcEAAAAASUVORK5CYII=\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# 等高线图\n",
+ "from pylab import *\n",
+ "\n",
+ "\n",
+ "def f(x, y):\n",
+ " return (1 - x / 2 + x ** 5 + y ** 3) * np.exp(-x ** 2 - y ** 2)\n",
+ "\n",
+ "n = 256\n",
+ "x = np.linspace(-3, 3, n)\n",
+ "y = np.linspace(-3, 3, n)\n",
+ "X, Y = np.meshgrid(x, y)\n",
+ "\n",
+ "contourf(X, Y, f(X, Y), 8, alpha=.75, cmap='jet')\n",
+ "C = contour(X, Y, f(X, Y), 8, colors='black', linewidth=.5)\n",
+ "show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 19,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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WqcbygXznXOmV2jJKwqG+ugU45Jw75Zy7ACwHro9wnfxwwszaAwT+Phnh+nhi\nZpOBEcAkF+LzAw05DLYA15hZJzNrQkkj2MoI16lGzMwouSe91zn3p0jXxyvn3EPOuQTnXEdK/l3e\ncs7Vy98+nXOfAUfNrGtg1c3AnghWyasjQH8zaxb43N1MPW4QL2Ml8OPA6x8DORGsiydmlkHJLdaR\nzrnzob6vwYZBoIFlGvA6JR/mvznndke2VjV2A/A/lPwGvSPwZ3ikKyVB/wd4ycw+AtKA30a4PjUW\nuMJZBmwH/kHJd0i9enrXzJYCHwBdzSzfzKYAs4EhZnaAkquf2ZGsY6gqOZcngMuAtYHvgqdCOpae\nQBYRkQZ7ZSAiIv+lMBAREYWBiIgoDEREBIWBiIigMBARERQGIiKCwkBERID/D5KhiS2d2jK/AAAA\nAElFTkSuQmCC\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# 条形图\n",
+ "from pylab import *\n",
+ "\n",
+ "n = 12\n",
+ "X = np.arange(n)\n",
+ "Y1 = (1 - X / float(n)) * np.random.uniform(0.5, 1.0, n)\n",
+ "Y2 = (1 - X / float(n)) * np.random.uniform(0.5, 1.0, n)\n",
+ "\n",
+ "bar(X, +Y1, facecolor='#9999ff', edgecolor='white')\n",
+ "bar(X, -Y2, facecolor='#ff9999', edgecolor='white')\n",
+ "\n",
+ "for x, y in zip(X, Y1):\n",
+ " text(x + 0.4, y + 0.05, '%.2f' % y, ha='center', va='bottom')\n",
+ "\n",
+ "ylim(-1.25, +1.25)\n",
+ "show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 23,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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KaIcLt4XHwclLarwIdiL6KIA/AFAG8MdCiEM+9jtsspT1Fhed4rOOiy1JhOQ3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\nwfj/kR5bHgKAKBAAAAAASUVORK5CYII=\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# 散点图\n",
+ "from pylab import *\n",
+ "\n",
+ "n = 1024\n",
+ "X = np.random.normal(0, 1, n)\n",
+ "Y = np.random.normal(0, 1, n)\n",
+ "\n",
+ "scatter(X, Y)\n",
+ "show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 26,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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j7tnzign50EPMU6b8OxshJYV561bmTz5hrlJFrq1cmfnnn83IrTiDlBTmMWOY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\nAypxDric8gbFAAAAAElFTkSuQmCC\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# 普通图\n",
+ "from pylab import *\n",
+ "\n",
+ "n = 256\n",
+ "X = np.linspace(-np.pi, np.pi, n, endpoint=True)\n",
+ "Y = np.sin(2 * X)\n",
+ "\n",
+ "plot(X, Y + 1, color='blue', alpha=1.00)\n",
+ "plot(X, Y - 1, color='blue', alpha=1.00)\n",
+ "show()"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2.0
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.13"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
\ No newline at end of file
diff --git "a/test/pandas\345\244\232\350\241\250\346\223\215\344\275\234\357\274\214groupby\357\274\214\346\227\266\351\227\264\346\223\215\344\275\234.ipynb" "b/test/pandas\345\244\232\350\241\250\346\223\215\344\275\234\357\274\214groupby\357\274\214\346\227\266\351\227\264\346\223\215\344\275\234.ipynb"
new file mode 100644
index 0000000..4070c40
--- /dev/null
+++ "b/test/pandas\345\244\232\350\241\250\346\223\215\344\275\234\357\274\214groupby\357\274\214\346\227\266\351\227\264\346\223\215\344\275\234.ipynb"
@@ -0,0 +1,358 @@
+{
+ "cells": [
+ {
+ "cell_type": "code",
+ "execution_count": 23,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "from datetime import datetime\n",
+ "from datetime import timedelta\n",
+ "import pandas as pd\n",
+ "import numpy as np"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "datetime.datetime(2017, 3, 28, 0, 0)"
+ ]
+ },
+ "execution_count": 4,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "stamp=datetime(2017,3,28)\n",
+ "stamp"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "'2017-03-28 00:00:00'"
+ ]
+ },
+ "execution_count": 5,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "str(stamp)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "'2017-03-28'"
+ ]
+ },
+ "execution_count": 6,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "stamp.strftime('%Y-%m-%d')"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "Timestamp('2017-03-28 00:00:00')"
+ ]
+ },
+ "execution_count": 8,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "pd.to_datetime(datetime(2017,3,28))"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "DatetimeIndex(['2016-01-01', '2016-01-02', '2016-01-03', '2016-01-04',\n",
+ " '2016-01-05', '2016-01-06', '2016-01-07'],\n",
+ " dtype='datetime64[ns]', freq='D')"
+ ]
+ },
+ "execution_count": 9,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "pd.date_range('20160101','20160107')"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "DatetimeIndex(['2010-01-01 00:00:00', '2010-01-01 01:00:00',\n",
+ " '2010-01-01 02:00:00', '2010-01-01 03:00:00',\n",
+ " '2010-01-01 04:00:00', '2010-01-01 05:00:00',\n",
+ " '2010-01-01 06:00:00', '2010-01-01 07:00:00',\n",
+ " '2010-01-01 08:00:00', '2010-01-01 09:00:00',\n",
+ " '2010-01-01 10:00:00', '2010-01-01 11:00:00',\n",
+ " '2010-01-01 12:00:00', '2010-01-01 13:00:00',\n",
+ " '2010-01-01 14:00:00', '2010-01-01 15:00:00',\n",
+ " '2010-01-01 16:00:00', '2010-01-01 17:00:00',\n",
+ " '2010-01-01 18:00:00', '2010-01-01 19:00:00',\n",
+ " '2010-01-01 20:00:00', '2010-01-01 21:00:00',\n",
+ " '2010-01-01 22:00:00', '2010-01-01 23:00:00',\n",
+ " '2010-01-02 00:00:00', '2010-01-02 01:00:00',\n",
+ " '2010-01-02 02:00:00', '2010-01-02 03:00:00',\n",
+ " '2010-01-02 04:00:00', '2010-01-02 05:00:00',\n",
+ " '2010-01-02 06:00:00', '2010-01-02 07:00:00',\n",
+ " '2010-01-02 08:00:00', '2010-01-02 09:00:00',\n",
+ " '2010-01-02 10:00:00', '2010-01-02 11:00:00',\n",
+ " '2010-01-02 12:00:00', '2010-01-02 13:00:00',\n",
+ " '2010-01-02 14:00:00', '2010-01-02 15:00:00',\n",
+ " '2010-01-02 16:00:00', '2010-01-02 17:00:00',\n",
+ " '2010-01-02 18:00:00', '2010-01-02 19:00:00',\n",
+ " '2010-01-02 20:00:00', '2010-01-02 21:00:00',\n",
+ " '2010-01-02 22:00:00', '2010-01-02 23:00:00',\n",
+ " '2010-01-03 00:00:00', '2010-01-03 01:00:00',\n",
+ " '2010-01-03 02:00:00', '2010-01-03 03:00:00',\n",
+ " '2010-01-03 04:00:00', '2010-01-03 05:00:00',\n",
+ " '2010-01-03 06:00:00', '2010-01-03 07:00:00',\n",
+ " '2010-01-03 08:00:00', '2010-01-03 09:00:00',\n",
+ " '2010-01-03 10:00:00', '2010-01-03 11:00:00',\n",
+ " '2010-01-03 12:00:00', '2010-01-03 13:00:00',\n",
+ " '2010-01-03 14:00:00', '2010-01-03 15:00:00',\n",
+ " '2010-01-03 16:00:00', '2010-01-03 17:00:00',\n",
+ " '2010-01-03 18:00:00', '2010-01-03 19:00:00',\n",
+ " '2010-01-03 20:00:00', '2010-01-03 21:00:00'],\n",
+ " dtype='datetime64[ns]', freq='H')"
+ ]
+ },
+ "execution_count": 10,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "pd.date_range('1/1/2010',periods=70,freq='H')\n",
+ "#['2010-01-01 00:00:00' ,。。。,'2010-01-03 21:00:00'], dtype='datetime64[ns]', freq='H')"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 20,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "Period('2010-01', 'M')"
+ ]
+ },
+ "execution_count": 20,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "p=pd.Period(2010,freq='m')\n",
+ "p"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 21,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "PeriodIndex(['2010-01', '2010-02', '2010-03', '2010-04', '2010-05'], dtype='period[M]', freq='M')"
+ ]
+ },
+ "execution_count": 21,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "pd.period_range('2010-01','2010-05',freq='M')"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 25,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "2010-01 0.169513\n",
+ "2010-02 2.135938\n",
+ "2010-03 -0.377607\n",
+ "2010-04 0.278958\n",
+ "Freq: M, dtype: float64"
+ ]
+ },
+ "execution_count": 25,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "ts = pd.Series(np.random.randn(4),index=pd.period_range('201001','201004',freq='M'))\n",
+ "ts"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 26,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "2010-01-01 0.169513\n",
+ "2010-02-01 2.135938\n",
+ "2010-03-01 -0.377607\n",
+ "2010-04-01 0.278958\n",
+ "Freq: MS, dtype: float64"
+ ]
+ },
+ "execution_count": 26,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "ts.to_timestamp()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 27,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "2010-01-31 0.169513\n",
+ "2010-02-28 2.135938\n",
+ "2010-03-31 -0.377607\n",
+ "2010-04-30 0.278958\n",
+ "Freq: M, dtype: float64"
+ ]
+ },
+ "execution_count": 27,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "ts.to_timestamp(how='end')"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 28,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "2010-01 0.169513\n",
+ "2010-02 2.135938\n",
+ "2010-03 -0.377607\n",
+ "2010-04 0.278958\n",
+ "Freq: M, dtype: float64"
+ ]
+ },
+ "execution_count": 28,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "ts.to_timestamp().to_period()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 29,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "2010-01-01 0.169513\n",
+ "2010-02-01 2.135938\n",
+ "2010-03-01 -0.377607\n",
+ "2010-04-01 0.278958\n",
+ "Freq: D, dtype: float64"
+ ]
+ },
+ "execution_count": 29,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "ts.to_timestamp().to_period('D')"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.13"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
diff --git a/test/test_2.py b/test/test_2.py
index c6854f1..a45fee7 100644
--- a/test/test_2.py
+++ b/test/test_2.py
@@ -1,14 +1,19 @@
# -*- coding: UTF-8 -*-
import pandas as pd
-reg = pd.read_csv(r'C:\Users\Administrator\Desktop\reg.csv', encoding='utf-8')
-req = pd.read_csv(r'C:\Users\Administrator\Desktop\req.csv', encoding='utf-8')
-
-print reg.head()
-print req.head()
+reg = pd.read_csv(r'../resource/reg.csv', encoding='utf-8')
+req = pd.read_csv(r'../resource/req.csv', encoding='utf-8')
+# 合并结果
merge_after = pd.merge(reg, req, left_on=(u'日期', u'渠道'), right_on=(u'日期', u'渠道'), how='outer')
-merge_after = merge_after.fillna(0)
+# 按列填充空值
+merge_after = merge_after.fillna({u'渠道': '', u'注册数': 0, u'首贷订单数': 0})
+# 排序
+merge_after = merge_after.sort_values(by=[u'日期', u'渠道'])
print merge_after.head()
+# 保存文件
+# merge_after.to_excel(r'../resource/0701-0817.xls', sheet_name='Sheet1', index=False, engine='xlsxwriter')
+
-merge_after.to_excel(r'C:\Users\Administrator\Desktop\0701-0817.xls', sheet_name='Sheet1', index=False, engine='xlsxwriter')
+df = pd.concat([reg, req], axis=1)
+print df.head()
diff --git a/test/test_3.py b/test/test_3.py
new file mode 100644
index 0000000..2fc1284
--- /dev/null
+++ b/test/test_3.py
@@ -0,0 +1,147 @@
+# coding: utf-8
+
+# In[11]:
+
+import pandas as pd
+import matplotlib.pyplot as plt
+from pylab import show
+from matplotlib.ticker import FuncFormatter
+
+# In[4]:
+
+df = pd.read_excel("https://github.com/chris1610/pbpython/blob/master/data/sample-salesv3.xlsx?raw=true")
+df.head()
+
+# In[6]:
+
+top_10 = (df.groupby('name')['ext price', 'quantity'].agg({'ext price': 'sum', 'quantity': 'count'}).sort_values(by='ext price', ascending=False))[:10].reset_index()
+top_10.rename(columns={'name': 'Name', 'ext price': 'Sales', 'quantity': 'Purchases'}, inplace=True)
+print top_10.head()
+
+# In[7]:
+
+plt.style.available
+
+# In[29]:
+
+plt.style.use('seaborn')
+top_10.plot(kind='barh', y="Sales", x="Name")
+show()
+
+# In[30]:
+
+fig, ax = plt.subplots()
+top_10.plot(kind='barh', y="Sales", x="Name", ax=ax)
+show()
+
+# In[31]:
+
+fig, ax = plt.subplots()
+top_10.plot(kind='barh', y="Sales", x="Name", ax=ax)
+ax.set_xlim([-10000, 140000])
+ax.set_xlabel('Total Revenue')
+ax.set_ylabel('Customer')
+show()
+
+# In[32]:
+
+fig, ax = plt.subplots()
+top_10.plot(kind='barh', y="Sales", x="Name", ax=ax)
+ax.set_xlim([-10000, 140000])
+ax.set(title='2014 Revenue', xlabel='Total Revenue', ylabel='Customer')
+show()
+
+# In[33]:
+
+fig, ax = plt.subplots(figsize=(5, 6))
+top_10.plot(kind='barh', y="Sales", x="Name", ax=ax)
+ax.set_xlim([-10000, 140000])
+ax.set(title='2014 Revenue', xlabel='Total Revenue')
+ax.legend().set_visible(False)
+show()
+
+
+# In[34]:
+
+def currency(x, pos):
+ 'The two args are the value and tick position'
+ if x >= 1000000:
+ return '${:1.1f}M'.format(x * 1e-6)
+ return '${:1.0f}K'.format(x * 1e-3)
+
+
+# In[35]:
+
+fig, ax = plt.subplots()
+top_10.plot(kind='barh', y="Sales", x="Name", ax=ax)
+ax.set_xlim([-10000, 140000])
+ax.set(title='2014 Revenue', xlabel='Total Revenue', ylabel='Customer')
+formatter = FuncFormatter(currency)
+ax.xaxis.set_major_formatter(formatter)
+ax.legend().set_visible(False)
+show()
+
+# In[41]:
+
+# Create the figure and the axes
+fig, ax = plt.subplots()
+
+# Plot the data and get the averaged
+top_10.plot(kind='barh', y="Sales", x="Name", ax=ax)
+avg = top_10['Sales'].mean()
+
+# Set limits and labels
+ax.set_xlim([-10000, 140000])
+ax.set(title='2014 Revenue', xlabel='Total Revenue', ylabel='Customer')
+
+# Add a line for the average
+ax.axvline(x=avg, color='b', label='Average', linestyle='--', linewidth=1)
+
+# Annotate the new customers
+for cust in [3, 5, 8]:
+ ax.text(avg + 1000, cust, "New Customer")
+
+# Format the currency
+formatter = FuncFormatter(currency)
+ax.xaxis.set_major_formatter(formatter)
+
+# Hide the legend
+ax.legend().set_visible(False)
+
+show()
+
+# In[49]:
+
+# Get the figure and the axes
+fig, (ax0, ax1) = plt.subplots(nrows=1, ncols=2, sharey=True, figsize=(7, 4))
+top_10.plot(kind='barh', y="Sales", x="Name", ax=ax0)
+ax0.set_xlim([-10000, 140000])
+ax0.set(title='Revenue', xlabel='Total Revenue', ylabel='Customers')
+
+# Plot the average as a vertical line
+avg = top_10['Sales'].mean()
+ax0.axvline(x=avg, color='b', label='Average', linestyle='--', linewidth=1)
+
+# Repeat for the unit plot
+top_10.plot(kind='barh', y="Purchases", x="Name", ax=ax1)
+avg = top_10['Purchases'].mean()
+ax1.set(title='Units', xlabel='Total Units', ylabel='')
+ax1.axvline(x=avg, color='b', label='Average', linestyle='--', linewidth=1)
+
+# Title the figure
+fig.suptitle('2014 Sales Analysis', fontsize=14, fontweight='bold');
+
+# Hide the legends
+ax1.legend().set_visible(False)
+ax0.legend().set_visible(False)
+
+show()
+
+# In[50]:
+
+fig.canvas.get_supported_filetypes()
+
+# In[51]:
+
+fig.savefig('sales.png', transparent=False, dpi=80, bbox_inches="tight")
+