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machine_learning_projects/3.宝可梦数据集分析/平时作业/aapl.ipynb
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less IS more 5c13c961dc 1
Signed-off-by: less IS more <13190735+wnflt@user.noreply.gitee.com>
2023-07-17 08:11:38 +00:00

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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 苹果公司股价建模及预测"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"统计001 舒予 2205310954"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 可视化收盘价"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"首先用 Pandas 的 `read_csv` 方法从 CSV 文件中导入数据。"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"ExecuteTime": {
"end_time": "2023-07-13T09:04:54.277438800Z",
"start_time": "2023-07-13T09:04:53.677813600Z"
}
},
"outputs": [
{
"data": {
"text/plain": " Open High Low Close Volume\n2015-08-03 09:30:00 1214500 1215800 1214500 1214900 1028608\n2015-08-03 09:30:01 1214600 1215000 1214600 1215000 1236\n2015-08-03 09:30:02 1215000 1215000 1214600 1215000 3314\n2015-08-03 09:30:03 1215000 1215000 1214500 1215000 6396\n2015-08-03 09:30:04 1214900 1215000 1214600 1214800 2226",
"text/html": "<div>\n<style scoped>\n .dataframe tbody tr th:only-of-type {\n vertical-align: middle;\n }\n\n .dataframe tbody tr th {\n vertical-align: top;\n }\n\n .dataframe thead th {\n text-align: right;\n }\n</style>\n<table border=\"1\" class=\"dataframe\">\n <thead>\n <tr style=\"text-align: right;\">\n <th></th>\n <th>Open</th>\n <th>High</th>\n <th>Low</th>\n <th>Close</th>\n <th>Volume</th>\n </tr>\n </thead>\n <tbody>\n <tr>\n <th>2015-08-03 09:30:00</th>\n <td>1214500</td>\n <td>1215800</td>\n <td>1214500</td>\n <td>1214900</td>\n <td>1028608</td>\n </tr>\n <tr>\n <th>2015-08-03 09:30:01</th>\n <td>1214600</td>\n <td>1215000</td>\n <td>1214600</td>\n <td>1215000</td>\n <td>1236</td>\n </tr>\n <tr>\n <th>2015-08-03 09:30:02</th>\n <td>1215000</td>\n <td>1215000</td>\n <td>1214600</td>\n <td>1215000</td>\n <td>3314</td>\n </tr>\n <tr>\n <th>2015-08-03 09:30:03</th>\n <td>1215000</td>\n <td>1215000</td>\n <td>1214500</td>\n <td>1215000</td>\n <td>6396</td>\n </tr>\n <tr>\n <th>2015-08-03 09:30:04</th>\n <td>1214900</td>\n <td>1215000</td>\n <td>1214600</td>\n <td>1214800</td>\n <td>2226</td>\n </tr>\n </tbody>\n</table>\n</div>"
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import pandas as pd\n",
"\n",
"# 读取数据,并将第一列设为索引\n",
"data_trading_hour = pd.read_csv('aapl-trading-hour.csv', index_col=0)\n",
"data_trading_hour.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"可见数据共有 6 列,分别存有时间、开盘价、最高价、最低价、收盘价和成交量信息。需要注意的是记录中的股价为原始股价乘以 10000。\n",
"\n",
"下面作出收盘价的走势图。"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"ExecuteTime": {
"end_time": "2023-07-13T09:04:55.473841400Z",
"start_time": "2023-07-13T09:04:54.281042400Z"
}
},
"outputs": [
{
"data": {
"text/plain": "<Figure size 2000x500 with 1 Axes>",
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glJQUxcfHm/4AgKPUrHzl77iVB84UGB9xNlGtJi82CjSSjAKNpDwPOM9L1IVL8gsK1ou/7CryvQWxWq2auWi/ftseWazzovTEJaXpka82yy8oWBdT0u3G/GtQM+O6jveV7+cG1SrlO/f93Rua2vd8stGmQHNrB1+HFWgkqbt/deP6yJlEpWdk2i3QSFJCSta/O6bedoMkqX0DH0XMDNTOVwNUw8tN797bUYem3WLER8cn66a3VkvKWpXU9tW/5RcUrN2RcSX15QAAAAAAgGJWokWa5ORkBQUFaeTIkUVaYRIdHa3atWvb9NeuXVvR0dFGTJ06dUzj1apVk5ubW74x2e2CYtLT03X27Fm7+c2YMcM4K8fHx0cNGza0GwcApaGoWwUOnLUq3/Gv1kcUab7eM1dIkn7cekKT5ocV6d6CDJq1SrNXH9H4n3YqnrNzypxDpxPUYeoSo3jY9tW/JUlfrw83bXX2j64N9HJga9Wv6qm5j/UwzbH/9aHq3bSGqa9NPW+1qFNZk4a11jM3NlN+3ru/U3F8KddkQkDWuTf/+/tAvluZ3dI263ypUT0ba9n4/vp5bC9Jko+nq7ZNvlm3d6ovV2cnvX57W9N9mZlWPf39dqM94oN1ysws3oIpAAAAAAAoGSW2J0ZaWpruu+8+ZWZm6qOPPiry/dn70edktVpN/VcTk/0p76LG5DRx4kSNHz/eaMfHx1OoAVBmeLg6KTnN9iyMbFP/2qvBreuoUY38VzHY88Pm43p1RBt5uBbuXJyc0jMytT86QW3qeRuFp4hzScb4ukNnNaxdvSLPC8e5+Z01Nn3D/m+t9p4yr0Ct5uWmx/o10WP9mtjEe7g66/sxPfN8xvMBLfX+isN2x1679YYiZlwyujSunudY63remjKijRbsjNLYAU0lZf37o1ntKnne82CPRpr8+5WCaJNJC21iXl2wx6aYAwAAAAAArj8lspImLS1N99xzj8LDw7V06dIin9NSt25dnT592qb/zJkzxqqXunXrGqthssXGxiotLS3fmJiYGEkqMMbFxUU1apg/uZvN3d1d3t7epj8AUFbc2sG3wJh3lx8s1FzbjsXa9LWanPcB7/lp9tIiDX9/nd5aekAJyWl6/qedpvE5G4/pxy3HTX3Bu07JLyhYL/ySFbtyf4ymBe9lFcF1LHeBRpK8PVyL/Tnv3d9JD/f2K/Z5r0avprb/nvjsoa76fkwPLRzXVz2a1NC0O9qpupdboeazWCwFnh01J+TYVeUKAAAAAABKV7EXabILNIcOHdKyZcvyLHTkp1evXoqLi9PmzZuNvk2bNikuLk69e/c2YsLCwnTq1JXtUpYsWSJ3d3d16dLFiFmzZo1SU1NNMb6+vvLz8zNili5danr+kiVL1LVrV7m6Fv+bRgBQEmY/2Nm4vu3D9doblfdZWZXdC/677XR8cqGee9fHG+z2f7L6iN3zaTIzrXpizlY9O2+Hqf/sxStndHy48ohe/2uvfs11Ds3Go+f04q+79fuOk0pOy9CpuEvGFk8/bc2KfeTrLfpsbbhmr7H/fJRP4TOGac9rQ7T/9aE6+MYtCp8xrFDFyNL0zr0dTO2b29RR76Y181y1e61cnUtmXgAAAAAAULyKXKS5ePGiQkNDFRoaKkkKDw9XaGiojh8/rvT0dN19993aunWr5s6dq4yMDEVHRys6OtpUKImOjlZoaKgOH87anmT37t0KDQ3V+fNZB1e3bt1aQ4cO1ZgxYxQSEqKQkBCNGTNGw4cPV8uWLSVJAQEBatOmjUaNGqUdO3Zo+fLlmjBhgsaMGWOsbBk5cqTc3d01evRohYWFaf78+Zo+fbrGjx9vvCkyduxYHTt2TOPHj9e+ffv05Zdf6osvvtCECROu/lUFgFLWw/9KQXzniQsa8+3WPGPP5CiItKpbRREzAxUxM1BPDWxq9K8/fE5+QcFXXeiYsWi/ekxfrvSMTKWkZxj9e0/F6+89p/V7aJSOnrlo9H+Qa7uq7KKLPc/+GKpWkxer14wVpv4Nh6+cI/bm4gO646MNSkrNOqg+MjZJv2yLVHpG3tu84dr98+st8gsK1g2vLJZfULDR/+PjPUt06y2LxSIvdxd5uDrLzcWpxAof1+KOTg302q03qE09b4W9NqTEn5eWYVUa3+8AAAAAAFz3ilyk2bp1qzp16qROnbIO4h0/frw6deqkV155RZGRkVqwYIEiIyPVsWNH1atXz/izYcOVT1vPnj1bnTp10pgxYyRJ/fv3V6dOnbRgwQIjZu7cuWrXrp0CAgIUEBCg9u3ba86cOca4s7OzgoOD5eHhoT59+uiee+7R7bffrlmzZhkxPj4+Wrp0qSIjI9W1a1c99dRTGj9+vOk8GX9/fy1cuFCrVq1Sx44d9frrr+u9997TXXfdVdSXBgAcpoqH+YixqLhLecZGXx6beEsrLX62v9E/qFVtm9hziVkF9rWHzsgvKFhPf7/dVLipX9VTktTdr7p+fNx8bkhMQoqavbRILV9erOS0rELN+cQrBfuFu0/p+Z92yi8oWF9viCjMl5mvkZ9vMrVDT1xQm1f+VsjRc7r7442a8PNOfbOxaFtAWa1WCjuFdOxcolbsz9pSNDE1wzTWpXE13detoZ4e1FTP39xCm1+6yREpOtzDvf208N/9VNm9eI4E/Oaf3VUjxxZprwxvozH9/I32k99tMxVJAQAAAADA9cdiZT+YaxYfHy8fHx/FxcVxPg0Ah8m5ckGS6cyKmPhk7T4Zp15Na6jNK39Lkn4Y09PmrIzxP4bqtx0njfaif/dT63reprn/eqavKru7aPj763QxJWulyuwHO2to23o2OWT79cne6tK4mmm8cY1KOnYuqcCv69G+/vpiXXiBcYVV0FkeOWXn+/Y9HXRn5wbFlkN5kpaRqeYvLco3xt5r/tmao5q2cJ/u6dpAb97dwc5duBoZmVY1nbTQaDs7WfTG7W317cZjemFoSw1qaVuMBQAAAAAAxa+wdYPi+SgnAMDhZv2jgyb8vNPuWPfpy236mtepbNP39r0dTUWaKQv26K4u5uLE8PfX2dzXuVE1SdLOVwO08chZjf1uu2nc3vkYBRVoJg1rpcf7N9XJC5eKtUiTmWmVk1PB22EdybEd2/ifdupSWoYC29VT1UqFO9y9opj8e1i+49sn32y3/599/dXVr5ra+PLhhuLknOt7OyPTqom/7ZYkPfLVFnVuVFX9mtfScze3cER6AAAAAAAgF4o0AFBOeOfa8sxqteqdpQf1Xq7zXrLVrOxut//vZ/tryLtrJEmbws9rU/j5Ap9d29tDkuTj6aqhbevZjO+MjFPTWrZFofw81MtP0pUt1XILnzFMkpSSnqlWkxcb/c1rV9ahmIt275Gk/dEJGvbeWqN9eNotcnG+svtnRqZVR89c1IlYcxHppflh+n7TcQWP61ekr6O8W7AzyqZv95QAVXZ3yfdsGGcnizpdLu6h9Gw/fkHbj1/Q2AFN5enm7Oh0AAAAAACo8CjSAEA5dfZiap4Fmvy0rFtFHq5OSk4r3Fksr916g03f5w911WPfbjXak38P09tLDhQpDw/XK28grw+6UTMW7tMrw9so7lKamtaqbBQAPFydFTEzUP+37JB2n4zTRw90lrOTRZlWq/759RatPXTWNO+UBXtM7Z2RF9SlcXWj/fLvu/XD5hN2c9oTFa/ktAxTbhVdx4ZVteHIOUnSnZ3r6+17Ojo2IRTK3lPxql/VU3/ujFJo5AUNallbd3cp/i39Nh45p/s/C5EkuThZFPbaEH5+AAAAAADIwangEABAWdCweiVTe9QXm656rrsKef7KygkD9XBvP5v+wW3qaP/rQ019sUlpduf4z5CWNn1/PdPX1K5f1VMfjOys2t4eal6nit3tyv49uLk+f7ir3Fyc5Oxkkauzk+Y82kN7XhuiA28M1YgOvpKkzRHmlUHhZ80rZvIq0GR7Z+nBfMdzmha8V35BwVocFl3oe8qa84mpkqSPH+hMgeY6sfz5AQXG3PXxBo35dqumLdyn4F2nNOHnncYZU8Vl36l4o0AjSemZVv209crP16XUDKVnFK4YDAAAAABAeUWRBgDKidb1vPXuvR2N9v7ohDxjXxrWOt+5Mq22fa3qVpFLruJIo1yFoZw8XJ215aXB+T7n9o6+enpQM3VpXE1Nanrp6PRhipgZqLb1ffK9ryi83F3k7uKsi8n2i0QTft6pHcdjtf14bKHm+2TNUb38++5CxX62NussnbHfbdPvOc76KS2JKen6a1eUEvL42ovDpbQMSVJtb/vb56H0Na1VWUemD9PKCQP17T+7S7JfDN19Ms7Ubvvq34q7VHzfK7f831qbvuyzqGITU9Vr5nLd/tF6Zdr7CwcAAAAAgAqCIg0AlCO3d6pfqLj2DfIvgrw41PYN3R8f76XD04eZ+nIfUp5brSruevueDqa+F3LMfWPrOpKkX5/srRUTBtpdIVNcVh44Y2rX8HIzru/4aIPu/GiD3WLGS8Naq1YVcwHiu5DjGvruGnV4bYn8goIL9Sbzsz+GXl3i1+C5H0P1r+936OXfw0rsGdlvunu6soPq9cTZySL/ml7q36KWImYG6ulBzRQxM7DA+37emv9Ksmt17mKKJCnk6DldSEpT2Ml47cpVLAIAAAAAoCKhSAMA5cyzg5sXGFPJLf831KtWctN/72pntL8c3VU+lVwlSTtfDZAkPT2oaaHyGdaunqn9eL8mcnfJ+s9Pd7/q9m4pETmfNfGWVvrxiV42MaEnLpjaXm7OGtO/iba8NFj+Nb1MY/ujE4xVB00mLdRfu6I0ZcEefbMhIs8cfth8/Oq/gKuwZO9pSdIfoVElMv/hmCurtTxc+SdFWZD7+zi3N4L3KTI2Kd+Yopo0rJVeDsxavfd7aJTeW35IT87dbozf/uH6Yn0eAAAAAABlCR97BYBy5l+DmundZYds+u/oVF/zL2+5dYOvd4Hz3Nutke7t1sim38fTtVCfyM+W85DwOzrVl4uzk0Im3qSE5HTV9fEo9DzXas5j3TUteJ/a1vfRHZ3q293WadQXm43rb/7ZXR0bVDXaS5/rr+d/3plnweNf3+8wrk/FJWvvqXibmIm/7ZaHq5Pu6FT8B7QXJCY+WbW9i+f1Pn4uSb/tiJS7y5X/b12cKNKUBZOHt9Y/v95q6vu/+zrq3/NCjXbf/64s0s94trSMTG0JP68ald015N01Rv+glrV17vLZRZL0tp1znTYeOadeTWsU+ZkAAAAAAJR1FGkAoJxxcXbS3qlD1OaVv42+g2/cIjcXJ72T48ya0hQ+Y5hS0jONgk01LzdVy7HdWGlwd3HW1NvaGu1Kbs75REsDWtQytV2cnTTrHx0KtSpl9uojeY7NXLS/VIo0B3KdSTT1r736YGTna543JT1D/f+30qa/qpfrNc+NkudXw3YlzbB29XT2Yqpe/2tvoefJzLTqjo/Wq2XdKnrz7g6yWq1q/tIiu7G1q3ioWe3K+c53/2chV1UYAgAAAACgrONjrwBQDlVyc9Frt94gSXqifxO5uTj2r3uLxWJaUXM98HDJO5+3/tHBbr+r87W/jn2a1bzmOQqyOfy8aSWDJP2165Ss1ms/oH394bN2+709KNKUBfWredr0uTo7aVTPxqpZ+Urh9M3F+/Od54t14doZGaeftkYqPSNTA2etshvXpXE1+VRylcVS8HlTf+68UgCNSUhWYkp6gfcAAAAAAFDWWazF8Y5NBRcfHy8fHx/FxcXJ27vgLYQAoLTEJqaqaiHfIK2I/IKC7fZvCLpRvlVt38yWpOS0DMXEp+imt1cpLcOqP57uo9vyOVNj39ShWnf4rMZ8e2WLqUPTbimWgk9e8vq6pKyt7vZEZW3FtmnSTapzeQu0pNT0As8qkqRft0Xq+Z93mvpeu/UGPdzb7+oTRqlKTEnXDa9mrbR7594Oxsouq9Uq/4kLjbi8VrbsiYpT4HvrCnzO5kk3mbbY+8/PO/XztkiN7u2nWlXc9Xj/Jjp2LkmD316d7zzd/Krp57G9C3weAAAAAADXk8LWDdjuDADKsdLeUqysyT6Lo0+zGvrogS7q8NoSNazuqXr5nJXj4eqsRjUq6dC0YUZfzjezF4dFa+x324y2p5uzBreurTb1vI1zalYfOKPBbeoUKsfMTKvWHj6rdvV9VP0q/v98dnBz0xlF2QUaSfr3vB164/a2Gvx21qobbw8X7ZoyJN/5zuc4WyTbQ70aFzkvOI6Xu4u+e7SHIs4lmrbeK2wx94MVh/Mce7Svv1LTM3VH5/o2ZyD97x8d9L9cq9QK2gZNkrZExOrImYtqWqvgWAAAAAAAyhqKNACACuu2jvV1W8f6Rrs4zsQY2rauwl4bogPRCerYsKqkrDe/v36km7pPXy5Jen/FId3Uunah3hT/edsJvfjr7kLnl5lpXiDbqq63GteopGPnkmxiQ46eNwo0khSfnK5VB2KUabWqfYOqenfZQd3btZHaNfAxYk5euGRc39K2rl6/vS0rtcqgvs1rqm9z2633mtby0pEziZKkP0JPmn4+stXNp4g5eXibIufSv0UtrTl4Jt+YxWHRenpQsyLPDQAAAADA9Y4iDQAAxayyu4u6NK5m6qvt7aHu/tW1Ofy8dkbGaceJC+rcqFoeM1yRXaCRpLWHzqhf81r5xp9PMq90iYxN0ur/DFJGplVNJy3M464rRn+1xdT+LuS4JMnT1VmX0jKM/pcDW+uxfk0KnA9lywtDW+mJOVkrwf49L9Rukear9RF2722fo5hXFKN7Ny6wSDN/x0mKNAAAAACAcsmxJ0kDAFCBbA4/b1ynpGXajO+PjlfAO6u1cPcpo2/oDXWN61FfbJZfULBOnE/S7NVH9OIvu7TtWKxpjq5vLDO1A9vXkyQ5O13bapecBRpJqlGZrfTKowEtzEXANxfv17mLKXZj61f1lH9NL6P94+O9ruqZg1rWVss6VWz67+xcX4NbZ20LeDjmoo6cuXhV8wMAAAAAcD1jJQ0AAA7g5mL7OYln54Xq4OmLemrudmNrs5Z1q2jxnmhTXL83VxrXP249oe2Tb5a3h4tpKzJJ2jt1iCq5XflP/RP9m+iTNUd1awdfLdgZdU3539iycGfqoGzxcHU2tT9adUQfrToiSTrwxlClpF8pLn4yqotu8PXWxZR0VfFwvepnWiwW/f1cf2VmWuXkZFFSarrxfbtyf4yW7TstSbrprdXFsiUhAAAAAADXE1bSAABQSlZOGGhc3/XxBr23/JBpfH90gnG9K/KCJOnvXAUaezq/vlTNXlqkAf9bZfQ5WWQq0EjSxGGtFTEzUO/d30kvDG1pGvvu0R468MbQQn0dw9rVlU+lq39THte3/wxpabe/5cuL1X7KEklStUqualvfRxaL5ZoKNDk5XV7tlfP79ob63sUyNwAAAAAA1yuKNAAAlJKcW0NJ0ttLD+pwTILd2Fs/WC+r1Woq3BTFvAK2nnqkt7+p3bd5Tbm7OOvQtFv089gr97ar76OuOc7X2T75Zn30QJerygllw1MDmxYYE5uUVgqZSLWreOjGVrWNdkJy6TwXAAAAAIDSwnZnAAA4UMjR8/pl20k90KORbvD11p6oeGPszo83GNdt6nnrxla19cHKwwXOObq3n7r5Vcs3xtPNWZtfukmv/rFHz93cwuh3dXZSN7/qbCtVgVksBZ9f9L+725dCJlm+eLir/CculCS1m7JEP4zpqe7+1a/5nCUAAAAAAK4HFqvVanV0EmVdfHy8fHx8FBcXJ29vtuUAAOQtJiFZ3actL/J9S5/rr1pV3NVx6lKjb9odbfXS/DCj3ah6JS15rr/NuSJAUfkFBRvXETMDtWBnlMb9sEOSZLFI4TNKt4iXMx9Jev22GzSql1+p5gAAAAAAQFEUtm7AdmcAAJSi2lU8ruq+5nWqqGolN1PfAz0a55rbnQINipWPZ9Z5M7d28NWK5wfozk71tfS5/qWex4M9G5nak//YU+o5AAAAAABQEijSAABQysbd2Czf8cGt65janjkKL+3q+0iS/ni6jyRp2fgBxtgbd7QtrhQBSZK355WdcZvUqqy37+2oZrWrlHoer99m+7198sKlUs8DAAAAAIDiRpEGAIBS9tzNLbT8+QF2x1ydLRrQspap7737OxnXfzzdR2GvDVGHhlUlSc1qV9b+14dq++Sb1aouW26ieLk6Xx//VLRYLJr/VG9TX5+ZKxyUDQAAAAAAxef6+M0bAIAKxGKxyK+Gl92xtAyrOl0uwGRrVffKygUnJ4squ7uYxj1cnVXdy7wVGlAcql7e7ux60KlRNd3fvVHBgQAAAAAAlCEUaQAAcABnJ4vd/mcHN1fVSuY3xutX9SyNlADD2/d0UJNaXnrz7vaOTsXkqYFNHZ0CAAAAAADFiiINAAAO8uXorpKk529uIUnq3bSGnh3cQg2qVTLFOeVR0AFKyp2dG2jF8wMdcv5MfhpWr6S1Lwwy2vuj4x2YjfTqH2Hq/+ZKZWRaHZoHAAAAAKDsokgDAICD3NiqjiJmBuqZm5orYmagvh/T0xj79p/d5eHqdN2tZAAczTvHFmxD312rHcdjr3qu+z7dKL+gYMUlpRX5XqvVqm82HtPx80l6/qfQq84BAAAAAFCxUaQBAOA61L9FLYVNGaJ7ujZ0dCrAdaVKrjOZ7vhog6zWwq1kOXnhks4npkqS4pLSFHL0vCRp8h9h+d6XlJquuEtpirpwyeg7d3keSfo9NEqfrz1aqBwAAAAAAMjJpeAQAADgCC7OfJYCyM3e9n//+/uAXhjaKt/7Tscnq8/MFZIkT1dnXUrLMMYW7IzSe/d3snuf1WpVm1f+Nto9/Kvrxyd66cctJ0xxbwTv0ztLD2r3lCFsUQgAAAAAKDTe/QEAAECZ9tGqIwXGvPbnHuM6Z4EmW0Ky/S3P/giNMrU3hZ9Xk4nB+t/fB2xiE1MztHx/TIG5AAAAAACQjSINAAAAyqWU9Ax9v+m4Dp1O0MLd0fnGtpuyRAt2RslqtWrib7v1zYYISdKzP4baxGbms7vajEX7riFjAAAAAEBFw3ZnAAAAKPOS0zLk4eps6nt67nYt21f4lS3jftiho2cu6ofNxyVJry7YU8AdWT4c2VlPf79dknT0TGKhnwcAAAAAACtpAAAAUObdPXuDTV9+BZq9U4cofMYwbX7pJlP/u8sOFem5M+5sp8D29Ux9czZGKNnOlmoAAAAAAORGkQYAAABlXtjJ+ELFRcwMVMTMQFVyc5HFYlHtKh7a9vLgAu/7+9n+ur97I6P90xO9FDEz0Oj7ZWwvY2zyH3vUavJiWa357IsGAAAAAIAo0gAAAKCM+eyhrpKkD0Z2MvW/8keYcb1i/2mb+8JeG2J3vhqV3bVrSkC+z2xRp7Jm3NlOO18JUMTMQHX3r24a7+pX3eaen7aeyHdOAAAAAAAsVj7id83i4+Pl4+OjuLg4eXt7OzodAACACuPImYu66a3VRrthdU9NvKW1lu09rd92nJQk7XltiLzcC3cU44nzSfpzV5Qe7NlY7y07pM/XhWvv1CGq5Fbw/QHvrNbB0xdNfREzA4vw1QAAAAAAyovC1g0o0hQDijQAAACOYbVa5T9xYb4xpVUoycy0akvEed37aYjRF/baEFUuZIEIAAAAAFB+FLZuwHZnAAAAKLMsFot6+NtuNZbtxla1Sy0XJyeLejSpoYd7NTb62r76d6k9HwAAAABQ9lCkAQAAQJn24xO9tGrCQLtjM+5sV7rJSJpy6w2m9oYjZ0s9BwAAAABA2UCRBgAAAGWeX00vRcwM1F2dG5j6a1Z2L/VcLBaLBre+soJn5GebSj0HAAAAAEDZQJEGAAAA5cZb93RQn2Y1JEk9m1SXs5PFIXl8/nA3U/vNxfsdkgcAAAAA4PpmsVqtVkcnUdYV9gAgAAAAlI64pDT5VHJ1aA57ouIU+N46ox36ys2qWsnNaL/yR5i+3XhMd3Sqr3fu7Wj0B+86pae/3y4XJ4ua16miJwc21a0dfJWanilnJ4vDCk8AAAAAgMIrbN3ApRRzAgAAAEqFows0ktSoeiVTu+PUpbq7SwO9MqKNnC0WfbvxmCRp/o6T6tmkuga1rK13lh3UD5tPSJLSM63adype437YoRZ1Kmvou2slSTe1qq3mdapoQkALuTizMB4AAAAAyjJW0hQDVtIAAADAnv3R8UZxJZuzk0UhE29St2nLrmluFyeLDk8fdk1zAAAAAABKRmHrBnz0DgAAACghrera/kM8I9N6zQUaKWulDZ+3AgAAAICyjSINAAAAUIJWThioGl5uBQfm0K95zULFfbb26NWkBAAAAAC4TlCkAQAAAEqQf00vbZt8s/a8NsRm7LG+/jZ93z/WQ3Me7aHwGcN0eNot+s+QlnnOvTUitlhzhZSWkam4pDRHpwEAAACggqBIAwAAAJQCT1dnm76Xh7fRN//sbrSXPz9AvZtlraKxWCxycXbSmYQUY3xw69qKmBlotJfsPV2CGVdM936yUR2mLlFMfLKjUwEAAABQAVCkAQAAAEqBk5PF1P7rmb6SpAEtamnby4N14I2halqrss19d3VuYFwPbl1HktSwumcJZlpxZWRatf34BUnSsn0xjk0GAAAAQIXg4ugEAAAAgIoi5yqYnGpUds/znnYNfBTQpo7ik9N0b7eGkqRpt7fTQ19uliStP3xWfZpdOcNm7aEzOh2foru7NLA7H+zbGxWvYe+tNdouzpZ8ogEAAACgeFCkAQAAAK5znz7U1dRuXKOScf3A55u0//Whysi06uXfwzR/x0lJ0p6oOL064oZSzbOsik1MNRVoJOmFX3bpnq4NHZQRAAAAgIqCIg0AAABQxtTzMW93Nvz9dXJzdtLeU/FG31frI/RoX381qFYp9+3IpdPrSx2dAgAAAIAKijNpAAAAgDLGzcXJdFbN4ZiLpgJNtr7/Xamle0+XZmrlyun4ZEenAAAAAKCco0gDAAAAlEGz/tFezWtXLjBuzLdbFZuYKr+gYPX974pSyKxs+b9lh0ztQS1rGdev/bnHJj4xJb3EcwIAAABQcVCkAQAAAMogi8WipeMHFCo2+7yVyNhLSkxJV3pGphaHnVJCcprmbIyQX1Cw/IKCFX42sSRTvi69s+ygcb3lpcH66pHuRnvh7milZWQa7Ue+2qwbXv1b7y+/Utg5cT5Jf++JltVqLZ2EAQAAAJQrFGkAAACAMuzNu9ub2hEzA3VfN/OB96firmzbdcOrf+vl38M09rvtajdliSb/cWW1yKBZq3SxAq0USUhOM7VrVXG3iXntzz2yWq1Kz8jUygNnJElvLT2ozEyrFu4+pX5vrtQTc7Zp1eUxAAAAACgKijQAAABAGXZP14YaekNddWhYVUemD5MkzbyrvXa+GpDnPfO2nMhz7D8/79T247GKz1XAKI9+2RZpXFdxd7Eb813IcflPXKhmLy0y9c/bckJPzd1utB/5ekvJJAkAAACgXKNIAwAAAJRxs0d10R9P95Gzk8Xo8/F0VZNaXkWea8ORc7rzow16bl5oMWZ4fcq5vdvcMT2M668e6VbgvfbOqwEAAACAoqJIAwAAAJRTx84lmdqr/zOwwHviLmWtoFm+P0bHziUq5Og5HTlzUQeiE4r8/IxMq/yCgtV00sIi31tSLqaka9uxWEnStxuPGf0Nq1Uyrge1rK2VEwbmO09KeqZNX2Ym59IAAAAAKBr7a/oBAAAAlHkZOYoGHz3QWY1r2F9Z83j/JrJI+mTNUVP/gP+tMrV/eqKXuvtXL/Tz7/1ko5HH4rBTGtq2XqHvLSltX/1bktSnWQ1TfzUvN1O7YTXPIs/dZNJCRcwMvPrkAAAAAFQ4RV5Js2bNGo0YMUK+vr6yWCz6/fffjbG0tDS9+OKLateunby8vOTr66uHHnpIUVFRpjlSUlL0zDPPqGbNmvLy8tKtt96qyMhIU0xsbKxGjRolHx8f+fj4aNSoUbpw4YIp5vjx4xoxYoS8vLxUs2ZNjRs3TqmpqaaY3bt3a8CAAfL09FT9+vU1depUWa3mT7itXr1aXbp0kYeHh5o0aaLZs2cX9WUBAAAArmvD2mUVSH4Z20uV3V30/WM9FPbaEO2aEqBJw1qrdT3vAue453LRpTAuJKVq6+UVK5I09rvtDj/nJufvAesPnzOut7w02CbWxdlJLetUsel/dUSbfJ8RfjbR5vcNAAAAAMhLkYs0iYmJ6tChgz744AObsaSkJG3fvl2TJ0/W9u3b9dtvv+ngwYO69dZbTXHPPvus5s+fr3nz5mndunW6ePGihg8froyMDCNm5MiRCg0N1eLFi7V48WKFhoZq1KhRxnhGRoYCAwOVmJiodevWad68efr111/1/PPPGzHx8fG6+eab5evrqy1btuj999/XrFmz9Pbbbxsx4eHhGjZsmPr166cdO3Zo0qRJGjdunH799deivjQAAADAdWVYu7qSpCcHNjX6uvpVV9hrQ9S7WU1VdneRt4erJMm/ZuHOr/l41ZECY95bfkgdpy616R87Z1uhnlFSMvLYjqxWFXe7/X8/118RMwN1aNotWvvCIEXMDNTo3n75PmPQrFXyn3j9bO8GAAAA4PpmsV7Dx7wsFovmz5+v22+/Pc+YLVu2qHv37jp27JgaNWqkuLg41apVS3PmzNG9994rSYqKilLDhg21cOFCDRkyRPv27VObNm0UEhKiHj2yDvAMCQlRr169tH//frVs2VKLFi3S8OHDdeLECfn6+kqS5s2bp9GjRysmJkbe3t76+OOPNXHiRJ0+fVru7lm/eM2cOVPvv/++IiMjZbFY9OKLL2rBggXat2+fkfPYsWO1c+dObdxo/5OCKSkpSklJMdrx8fFq2LCh4uLi5O1d8CcQAQAAgNKQlpGpQ6cvqnW9KrJYLPnGHj1zUTe+tbpQ89rb0mv8T6H6bftJbX15sLq+sczufS8HttZj/ZoU6hklITktQ60mL7bpL+oWZX5BwaZ263re2ncq3tS37eXBqlHZfvEHAAAAQPkXHx8vHx+fAusGRV5JU1RxcXGyWCyqWrWqJGnbtm1KS0tTQECAEePr66u2bdtqw4YNkqSNGzfKx8fHKNBIUs+ePeXj42OKadu2rVGgkaQhQ4YoJSVF27ZtM2IGDBhgFGiyY6KiohQREWHE5MwlO2br1q1KS7O/HcOMGTOMbdh8fHzUsGHDq3x1AAAAgJLj6uykNr7eBRZoJKmyu+1xlUenD1PjGpVs+v8IPWlqxyWl6bftWX32CjS3d/S16bsah04n6J2lB5VgZ9u0acF75RcUrB3HY3U4JkF+QcEKOXrOFLNyf4zNfcufH3DV+bw6oo32Th2iheP62ox1yfE6pKZnan90PNugAQAAALBRokWa5ORkBQUFaeTIkUalKDo6Wm5ubqpWrZoptk6dOoqOjjZiateubTNf7dq1TTF16tQxjVerVk1ubm75xmS3C4pJT0/X2bNn7X5dEydOVFxcnPHnxIkTBb8YAAAAwHXMyclcyHk5sLWcnCxa/Z9B+v3pPqaxf88LNZ0vcy4xRfbc0am+DrwxVN6eWVuqvRG8z25cYURduKSb31mj/1t+SO2mLDGNnbuYos/Whmc986MNGvz2GknSfZ+GGDGLw6L15NztRjtiZqAiZgaqaa3KRc5l48Qb9d2jPfRIH39VcnPJswjmFxSs95cf0oSfd2rou2v1wi+7ivwsAAAAAOWb7cfliklaWpruu+8+ZWZm6qOPPiow3mq1mn65sfeLTnHEZH96ragxObm7u5tW5wAAAABlnXOuf/t2anTlQ1U+l4ssOf37hx1aeeCMmtby0pEziXbnfOfejpKyVvRkW33wjAa0qFXk/JbtO21qx11Kk4+nqy6lZphWreT21fpwje7tp7HfXTkPx9fHo8jPz6mej6fq+XgWKvatpQeN65+3Rep//+hwTc8GAAAAUL6UyEqatLQ03XPPPQoPD9fSpUtN+63VrVtXqampio2NNd0TExNjrGipW7euTp82/xImSWfOnDHFZK+GyRYbG6u0tLR8Y2JisrY4KCjGxcVFNWrUKPLXDgAAAJRFuVfS+Hhe+TxXPTtFjZUHzkhSngWaV0e0Ma7H5DiHZt7m45Kyti57au42Tf1zr6b+uVfpGZn55vfKH3tM7Q6vLdHJC5fU+hXbM2Zyeu3PvXo7R6FEkoKGtc73nqsxIaBFoeJ2HI8tOAgAAABAhVHsRZrsAs2hQ4e0bNkym0JHly5d5OrqqqVLlxp9p06dUlhYmHr37i1J6tWrl+Li4rR582YjZtOmTYqLizPFhIWF6dSpU0bMkiVL5O7uri5duhgxa9asUWpqqinG19dXfn5+RkzOXLJjunbtKldX208MAgAAAOWRc64ijbfHlX8Le7g6K/SVm7XntSGq4lG4xfiP9PE3ruvmKPIsCotWi5cW6eZ31mjh7mh9uT5cX64PV7OXFml7HgWMcxftb6f2y9bIQuXy/orDpvbg1rZbK18rT7fCvS53fLRBX68Pt+nPzOS8GgAAAKAiKnKR5uLFiwoNDVVoaKgkKTw8XKGhoTp+/LjS09N19913a+vWrZo7d64yMjIUHR2t6Ohoo1Di4+OjRx99VM8//7yWL1+uHTt26MEHH1S7du00ePBgSVLr1q01dOhQjRkzRiEhIQoJCdGYMWM0fPhwtWzZUpIUEBCgNm3aaNSoUdqxY4eWL1+uCRMmaMyYMcbKnZEjR8rd3V2jR49WWFiY5s+fr+nTp2v8+PHGVmZjx47VsWPHNH78eO3bt09ffvmlvvjiC02YMOGaX1wAAACgrPLOtcVZ1Upu8nJ3UUJyeoH3vmVnS68mtbyM69Q8Vs3c+dEGu/0nYi/Z7X9n2ZUVMk1qetmNyS1iZqAqFbKgUhS9mmR9OK1lnSr69clekqRfxvayGzvlz716+vvt2hsVL0mavyNSTSYtlF9QsPyCgvXCLzuVVsDKIgAAAADlQ5GLNFu3blWnTp3UqVMnSdL48ePVqVMnvfLKK4qMjNSCBQsUGRmpjh07ql69esafDRuu/ML1zjvv6Pbbb9c999yjPn36qFKlSvrzzz/l7OxsxMydO1ft2rVTQECAAgIC1L59e82ZM8cYd3Z2VnBwsDw8PNSnTx/dc889uv322zVr1iwjxsfHR0uXLlVkZKS6du2qp556SuPHj9f48eONGH9/fy1cuFCrVq1Sx44d9frrr+u9997TXXfdVdSXBgAAACizXHKtpPFwdc4jMm8/PdFLr992g+7sXN9m7NYOvledW3TclSLNHZ1s55akFRMGanj7eka7RZ3KV/28q9HG11t//quvvnush7o0rq6ImYHq6lc9z/jgXac07L21Sk7L0HM/7jSN/bQ1Us1fWqSYhOSSThsAAACAg1msVivr6q9RfHy8fHx8FBcXZzp/BwAAAChL3l9+SG8tPaj+LWrp2392txtz4nyS+r25UpK0a0qA7v0kRPtOxWvlhIHyz2c1y/FzSer/v5U2/UenD9Px80kaOGuVpKzVJ4mpGerZpLrcXbIKRV+vD9eUP/fqlrZ19fGDXXTywiX1mbnCmKNR9Upa88IgSZLVapXVmnXGjl9QsOlZTw9qqv8MaVX4F6QY7DsVrwc/36T3R3bS7ztO6qdCbtGWLWJmoCTpz51ReuaHHZrzaHf1a17L7nP8anjJ0822uGa1WuU/caEk6eAbt8jNpUSOJgUAAACQQ2HrBhRpigFFGgAAAKBgf+2K0sxF+xV5efuyuY/1UJ9mNRUTn6zu05fbxIe9NkSV3V00c9F+zV59RKN7+2nKrTcY41EXLmnlgRjd07WhXJ1tCw/xyWnq9sYyffRAZ93Uuk7JfWFFMHv1Ec1ctL/Q8cHj+qpNPW+jyCJdKdxkm78j0liNM+2OtvKt6qkLSam6o1MDSVkFnFv+b60kKbBdPX34QOdr/TIAAAAAFKCwdYPi34wZAAAAAOwY3t5XfjW8NPz9dZKkNvWyflGp7e1hN77tq3+b2vV8zHG+VT31QI/GeT7P28NVB9645VpSLnaP92tSpCLNK3/s0dODmpr6Fu4+pWHtrmztNuvvK2fzvDQ/zLi+lJqpf3RtYBRoJCl49ylNT0qTTyXzmUMAAAAAHIOVNMWAlTQAAABA4X248rBqVnbTvd0aGX3vLT+kt5cezOcu6d17O+r2PM6kKUvWHTqrd5Yd1LZjsTZjU2+7Qafjk/XhyiP5zpG9muZiSrpNMauwPn6gs3o3qykfTwo2AAAAQHFjJQ0AAACA69LTg5rZ9I27qbkGtaytlQdi5OHqpOkLbVeb1KzsXhrplbi+zWuqb/OapjNzFvyrj9r6+sjJySJJ+n1HlE5euFTgXFdboJGkJ+duV59mNTT3sZ5XPQcAAACAa8OJkQAAAACuC+0a+GjcTc31zz7+dsf7NKtRyhmVrOXPD9DHD3RW+Ixhat+gqlGgkaR/39Q833v9goK14cjZIj2vRZ3KNn3rD58r0hwAAAAAihdFGgAAAADXFRdnJ20IulFrXxhk6rdYLHncUTY1rVVZt7SrZ/fruqtLA5u+12+7wdQe+dkm4/rHx3vq5cDWeT7ryPRh+umJXpr/VO9ryBgAAABAcaNIAwAAAOC641vVUw2rV9LCcf1Uxd1Fvz5ZsYoLzk62hZsHezbOM75Hkxp6rF8THZk+TBEzAzV5eBub+apWclOnRtVMZ9C4ufArIQAAAOBI/IscAAAAwHWrja+3dr82RF0aV3N0Kg4VPK6vLBaLNk680Wasbf0rh5BmF3ce7Wt/yzgp6/ybpwc1lSSlpmcqKTW9mLMFAAAAUFgUaQAAAADgOneDr48kqZ6Pp968q71p7N6uDe3eM/vBLqri7qKVEwaa+hvX8NLj/Zsa7f3RCcWbLAAAAIBCo0gDAAAAANehHZNvVrPalfX9mB6m/v4tapnag9vUsXv/0LZ1tfu1IfKv6WUzlnPLs8QUVtIAAAAAjuLi6AQAAAAAALaqeblp2fgBNv11fTy09Ln+OhRzUR0bVlU9H8+rmr+bXzVtiYjVwt2n1K95rYJvAAAAAFDsWEkDAAAAAGVM8zpVNKxdPflWvboCjSRtiYiVJP2w+URxpQUAAACgiCjSAAAAAEAFFNiunqNTAAAAACo8ijQAAAAAUAEFts8q0nT3q+7gTAAAAICKiyINAAAAAFRALk4WSVJaZqaDMwEAAAAqLoo0AAAAAFABuTpn/TqYnmF1cCYAAABAxUWRBgAAAAAqIBfnyytpMlhJAwAAADgKRRoAAAAAqICcL293lp7JShoAAADAUSjSAAAAAEAFdGW7M1bSAAAAAI5CkQYAAAAAKiAXVtIAAAAADkeRBgAAAAAqoCsraSjSAAAAAI5CkQYAAAAAKiAX5+yVNGx3BgAAADgKRRoAAAAAqIBcnLJ+HUxjJQ0AAADgMBRpAAAAAKACMs6kyWAlDQAAAOAoFGkAAAAAoALK3u4sLZOVNAAAAICjUKQBAAAAgArI1Tnr18HUdFbSAAAAAI5CkQYAAAAAKqDs7c4k6av14Q7MBAAAAKi4KNIAAAAAQAXk4nzl18GPVx1xYCYAAABAxUWRBgAAAAAqoJwraVrV8zauU9IztO7QWSWnZTgiLQAAAKBCoUgDAAAAABWQi/OVIs2B6Hjj+vW/9urBLzZp0m+7HZEWAAAAUKFQpAEAAACACsjV6cqvg6fjU5SZaZUkfRdyXJL0246TDskLAAAAqEgo0gAAAABABeSUY7szSYpJSHFQJgAAAEDFRZEGAAAAAKDU9ExHpwAAAABUOBRpAAAAAABKSc9QYkq6qc9qtTooGwAAAKBioEgDAAAAABXUwJa1jOuU9EztPhlnGj+XmEqhBgAAAChBFGkAAAAAoIL6R5eGxvWk+buVlGpeSXPbB+t16wfrlZ7BVmgAAABASaBIAwAAAAAV1LB2dY3rXZFx+ufXW03jJy9c0u6TcdofnVDaqQEAAAAVAkUaAAAAAKigLBZLoeLmbTlewpkAAAAAFRNFGgAAAACowJ4a2LTAmO9CKNIAAAAAJYEiDQAAAABUYC8MbeXoFAAAAIAKiyINAAAAACBfI3s0cnQKAAAAQLlEkQYAAAAAkK+E5HRHpwAAAACUSxRpAAAAAKCC+2RUF+P6vfs76V+DmpnG/9wZpZUHYko7LQAAAKDcc3F0AgAAAAAAxxpyQ11Nv6OdrLLq1g6+WuF+2ibmnaUHNahlbQdkBwAAAJRfFGkAAAAAAKZzZ9IzrDbj1b3cSjMdAAAAoEJguzMAAAAAgEmXxtVs+mpWdndAJgAAAED5RpEGAAAAAGBSo7K7tr08WHunDjH6MjJtV9cAAAAAuDYUaQAAAAAANmpUdlclNxdNu6OtJCkxJd3BGQEAAADlD0UaAAAAAECevNyyjjJNTKVIAwAAABQ3ijQAAAAAgDy5OFskSekZbHcGAAAAFDeKNAAAAACAPDlbsoo0m8LPOzgTAAAAoPyhSAMAAAAAyFPEuSRHpwAAAACUWxRpAAAAAAB5iklIdnQKAAAAQLlFkQYAAAAAkCc3lyu/NqZlZDowEwAAAKD8oUgDAAAAAMhTg6qexvWltAwHZgIAAACUPxRpAAAAAAB5urVjfeP6pflhxvWqAzH6ZkOEAzICAAAAyg8XRycAAAAAALh++Xi6Gtd/7oxS18bV9HBvP43+aoskqV0DH3VuVM1R6QEAAABlGitpAAAAAACF9uqCPab2ifNJDsoEAAAAKPso0gAAAAAA8pVzNY0kWa1W4/rkhUulnQ4AAABQbhS5SLNmzRqNGDFCvr6+slgs+v33303jv/32m4YMGaKaNWvKYrEoNDTUZo4jR47ojjvuUK1ateTt7a177rlHp0+fNsXExsZq1KhR8vHxkY+Pj0aNGqULFy6YYo4fP64RI0bIy8tLNWvW1Lhx45SammqK2b17twYMGCBPT0/Vr19fU6dONf1CIUmrV69Wly5d5OHhoSZNmmj27NlFfVkAAAAAoNy6qXVtU3vtobPGdUaGNXc4AAAAgEIqcpEmMTFRHTp00AcffJDneJ8+fTRz5sw8xwMCAmSxWLRixQqtX79eqampGjFihDIzM424kSNHKjQ0VIsXL9bixYsVGhqqUaNGGeMZGRkKDAxUYmKi1q1bp3nz5unXX3/V888/b8TEx8fr5ptvlq+vr7Zs2aL3339fs2bN0ttvv23EhIeHa9iwYerXr5927NihSZMmady4cfr111+L+tIAAAAAQLnkZLGY2g99udm4zrBSpAEAAACulktRb7jlllt0yy235DmeXUiJiIiwO75+/XpFRERox44d8vb2liR99dVXql69ulasWKHBgwdr3759Wrx4sUJCQtSjRw9J0meffaZevXrpwIEDatmypZYsWaK9e/fqxIkT8vX1lSS99dZbGj16tKZNmyZvb2/NnTtXycnJ+vrrr+Xu7q62bdvq4MGDevvttzV+/HhZLBbNnj1bjRo10rvvvitJat26tbZu3apZs2bprrvuKurLAwAAAADljiWfsZ0nLig9I1MuzuymDQAAABRVqf8rOiUlRRaLRe7u7kafh4eHnJyctG7dOknSxo0b5ePjYxRoJKlnz57y8fHRhg0bjJi2bdsaBRpJGjJkiFJSUrRt2zYjZsCAAaZnDRkyRFFRUUYRaePGjQoICDDlOGTIEG3dulVpaWl5fg3x8fGmPwAAAABQXuVeSZPTygNn1OylRdpxPFbJaRmlmBUAAABQ9pV6kaZnz57y8vLSiy++qKSkJCUmJuo///mPMjMzderUKUlSdHS0ateubXNv7dq1FR0dbcTUqVPHNF6tWjW5ubnlG5PdLigmPT1dZ8+elT0zZswwzsrx8fFRw4YNi/oyAAAAAECZ4VSI3xzv+GiDWk1erGnBe3XPJxt18HRCyScGAAAAlHGlXqSpVauWfv75Z/3555+qXLmyfHx8FBcXp86dO8vZ2dmIs9j5pJbVajX1X02M9fJ+yUWNyWnixImKi4sz/pw4cSLPrxcAAAAAyrq8fjey57O14docfl6PfbO1BDMCAAAAyocin0lTHAICAnTkyBGdPXtWLi4uqlq1qurWrSt/f39JUt26dXX69Gmb+86cOWOseqlbt642bdpkGo+NjVVaWpopJnvFTLaYmBhJKjDGxcVFNWrUsJu/u7u7aQs1AAAAACjPnApfozHEJCQXfyIAAABAOePQkx1r1qypqlWrasWKFYqJidGtt94qSerVq5fi4uK0efNmI3bTpk2Ki4tT7969jZiwsDBjizRJWrJkidzd3dWlSxcjZs2aNUpNTTXF+Pr6ys/Pz4hZunSpKa8lS5aoa9eucnV1LZGvGwAAAADKktxn0gS2r6cPR3bO9x6LrqKyAwAAAFQwRS7SXLx4UaGhoQoNDZUkhYeHKzQ0VMePH5cknT9/XqGhodq7d68k6cCBAwoNDTWtVvnqq68UEhKiI0eO6LvvvtM//vEPPffcc2rZsqUkqXXr1ho6dKjGjBmjkJAQhYSEaMyYMRo+fLgRExAQoDZt2mjUqFHasWOHli9frgkTJmjMmDHy9vaWJI0cOVLu7u4aPXq0wsLCNH/+fE2fPl3jx483luuPHTtWx44d0/jx47Vv3z59+eWX+uKLLzRhwoSrfEkBAAAAoHzJWaQZd2MzfTiyswLb13NgRgAAAED5UOQizdatW9WpUyd16tRJkjR+/Hh16tRJr7zyiiRpwYIF6tSpkwIDAyVJ9913nzp16qTZs2cbcxw4cEC33367WrduralTp+qll17SrFmzTM+ZO3eu2rVrp4CAAAUEBKh9+/aaM2eOMe7s7Kzg4GB5eHioT58+uueee3T77beb5vHx8dHSpUsVGRmprl276qmnntL48eM1fvx4I8bf318LFy7UqlWr1LFjR73++ut67733dNdddxX1pQEAAACAcinnQhpnpyu/Rn44srMa16ikOzvXV2V3827aVllLKz0AAACgzLJYrVb+5XyN4uPj5ePjo7i4OGMVDwAAAACUFxN/26UfNp+QJP1nSEs9PaiZTcymo+d076chRtvD1Un7X7+l1HIEAAAArieFrRs49EwaAAAAAMD1L7tAI0kuTvbPmnHO1Z/JxwEBAEAJsFqtik9Oc3QaQLGhSAMAAAAAKDQXZ/u/RjrlKtKkpmdKkuKT0/TNhgjFJCSXeG4AAKD885+4UO2nLFHf/64w9S/fd1qjvtikS6kZDsoMuDoUaQAAAAAAhZbXSpqE5HSbvreWHNBL88P06oI9evDzTSWdGgAAKOfSMzKN68jYS8o+yWNx2Ck9+s1WrT10Vv3/t9JR6QFXhSINAAAAAKDQXJztF2liE1Nt+t5fcVh/7oySJB08fbFE8wJw/Ym7lKbtx2OVWcj9D9cfPquFu0+VcFYAyrKIc0mmtv/EhVp36KzGfrfd6DuTkKINh8+WdmrAVaNIAwAAAADIV7/mNY3rkKPn7cYMblOnUHNlZFo1e/UR7TxxQVarVeN/CtXYOduUwSE2QLnz2DdbdOdHG/TX7lPGz/6O47F5xj/w+SY9NXe79kTF2YxZrVZdSLItBgOoWA7HJNj0PfiF7WrdkazgRRlCkQYAAAAAkK8BLWoZ19krY3Kr7O6ibn7V8p3ntT/3aMHOk5q5aL9u+3C9dpy4oN+2n9TiPdEKP5tYrDkDKF7/t+yQhr+/1jhvqiBWq1VbIrIKMuN+2KE5GyM0c9F+3fHRBrvxOVfbRMZeshm/99MQdZy6VPd+svEqsgeuL+cTUzX+x1BNWbBHVqtVMQnJWrInWoPfXq2Dp22LELgiNimt0LEXU2y3YgWuRxRpAAAAAAD5+mHzceP6Bl/vPON+Hts733m+Wh+h537cabTvzPFmbXRc8jVkCKCkvbPsoMJOxivot11G36drjsgvKFjbjtmusDt5wVxomfLnXuM655vQMQnJSkhO03//3m/0vRG813RvekamNodnPWNT+HmdirMt4gBlxd97otX59aX6bcdJfb0hQv4TF6r7tOV6fM42HY65qIe+2OzoFK9r32yIKHRs21f/VuiJCyWWC1BcKNIAAAAAAPKV85Oo9Xw8SuQZD36xSSfOJxUcCMChftt+Uje8sljL953W9IVZhZW7Pt6oxJR0DZq1Sn5Bwdp54oLd1TDZpgXvkyTFJ6ep+7TlajdliT5ZfdQYP3H+kmllTc5CsST9tZNza3B9S07LUHpGptIybFeePTFnW773pmdmKt3OfQVJy8iUX1Cw8eeXbZGm8YqyreikYa1M7ds/XG9c23tdF+4+pWd+2KGkVFbdwHEo0gAAAAAA8pXzfZ1/dG1YYs/p9+bKEpsbwNXL/cZmYmqGHv1mq6nvjo/WG9sW3vbhet33aUie860+eEZnL6bo6Jm8tzm8+Z3VxnXuN5cruTsXOnegtE3+PUytJi9Ws5cWqflLi7Ryf4wx9uofYQXef/Ziqpq9tEiRsUX74MLYXMWfCT/vVKvJizT8/bXyCwpW00kLteHwWbv3HohO0P2fhuh84vV/7pOzkyXPsbEDmuqRPv7y9nAx9fsFBeuujzeo2UuL5BcUrE1HzxljT83drj93RpkKxUBpo0gDAAAAAMiXNcf7o4Na1s43dvod7VSzsru+HN21yM9xdc77jRcAjpN76zJ7Dp6+WKQ5u76xTIfyOXvjyOUCTnJaht5aetA09tL8MP2w+bhe+3OPIjjPCteZOSHHTO1XF+wxrr/ZeCx3eJ76/nelrFarws8m6rU/9+S7LWhyWoaW5ygGXenPVNjJeKP9/M87jZU2f4Se1PbjsfpzZ5SGvLtGG4+eU+fXlxY6v6JITEnXY99s0eqDZ655rkupGab2vMd7GtcvDGkpV2cnubnYvuW97ViscX3vpyFKSE4zbb34f8sPXXNuwNVyKTgEAAAAAFCRZeao0hRUSBnZo5Hu795QCVdxWG//5rWKfA+AklfQ9kz5+UeXBvo517ZL2f7zyy67/dme+WGH/twZZXds4m+7JWWddRUxM/Cq8wOKk73C4/HzSfILClZdb/N2oc8Obq53l+VfGAg5el73f5a1Ki2/7/WcW3rl51LalQLHv+eFFuqe4nDXxxu0PzpBy/aZC0lbXx6smpXdizRXUq4iTdNalfXvm5qrupebnC6vsjl7seAVQe2mLLFZcQM4CitpAAAAAAD5yrnVkMVS8GoXi8UiL7eiv/GR880jANeP/dF5r3jJT5fG1RR0S6uCAyV9OqqLImYGKuy1IUZf7gJNg2qedu8tzEofoKRZrVbd/M6aPMej46+shNn/+lCNu7G57u/eUB0bVlWrulXs3nMx1wce/IKCtScqzmifOJ+kj1cdMf2MBrarl2cOF5LS8v0a3O2sQCkOeZ2H0/WNZfILCtbE32wLthdT0hWTkKxTcZc08rMQLQ47pc/XHjW9jpLkZJGeu7mFHu7tZ/RNu6NtofKKTza/vgP/t9J0HhZQWijSAAAAAADylfvTv4WR357xeUlNL/pByQBK3tAb6pra2SvqejWpoS6Nq+V5X5+mNVSjsrse6tVYktSiTmXtf32oTVx1LzcFXH5GZfe8C7yzH+xit/90fN7bQFVUyWkZdg+tR8n5aesJU/vtezrkGevh6iwnJ4tm3Nlevz/dR4uf7a+w14aob7OaCmhTx4g7k5Bic2/ge+u0OzJOh2MS1O/Nlfrv4v2m8Q8f6HzVX0NKeqZS0ov/AxN1ffL/d8QPm7Neu4sp6brl/7LO0Gn76t/qPm25es1YoQ1Hzmnsd9v1RvA+m3vtfXjkgR6NtfXlwVr0737q06yGaWzOo93zzCPiXJKaTFrINooodazpAgAAAADkq4tfNR3I5+yIvFRxdylw27O7uzTQuYspWnngjLYei9XcTcd0S9t6qu7ldrXpAihGVqtVi/dES5Lu7dpQ/727vWITU/Xr9kjd3qm+ek5fbop3c3EyCq7Jl/93wpCWalLTS3d0biAPV2ebZ/z7puYF5nF42i1KTLX/5nFyHv0V1en4ZA2atUrd/avr60fyfkMaxevkBXOx8M7ODTT+p52Fvr+yu4u+e6yHrFar/CculCRNmr/bbuyID9bZ7f8xx/ksOY0d0FSzVx/J89kfjOyk53/aqZT0TJ2OS1GjGpWMsZUHYuTq5KQqHi7q0LCqJCk9I1N/7zmtbv7VVLtKwR/kWHvobIExby89qPeu4lyYvD4TUrOyu2pWdtfcx3oqNT1Tm8PPq6tftUKtFho4a5V+e6q3OjfKuwgNFCeKNAAAAACAfD07uLm2H4vVvd0aFum+vAo0O18N0OqDZ1TX20NdGlfThiNntfJA1mHCL80P07zNJ/TnM32vOW8AV8dqtWrGov1qUtNLwzv4Gv1hl7dZqublpsf6NZEk3d+9kXFQeqPqlfSvQc30wq9ZWxc92tdfkuTt4arRffzzfN4DPRqZ2vumDlXrVxYb7RpebnJxdpKnq/37I69yu7Ocb4bvf32o3QJSWfTXrlNKSs3QqgNnFHE2UX41vRydUrlltVplsViUlpFpKjB8Mipr1df+14cq7GSc7p690RgLnzEs3zktFku+Zznlp0eTrFUjcx/roQc+36SqlVy1Y/LN2nHigt0iTQ//6nphaCt1aVxN//p+hyTpo1WHNaxdPfl4uuq5n0J19Ez+q0qOTh9mnAVjz96oeOP6/+7rqNs61ldqeqZavLzIFFeUAs1NrWrLxdkiFycnVa1U8Ic63Fyc1Ld5Tbtjv4ztJVdnJ92W61yfOz/aoN1TAlTFI4+/eIBixHZnAAAAAIB81a7iocXP9tcj+bzJWpAqObYw8vF01a0dfNXdv7qcnSxyczb/arr7ZFzu2wGUot0n4/TpmqMK+m232r76t9H/4xO9bGL/0bWBcT2wZS3d1aWBnrmxmb57tIfq5LFV4ornB0iSqlZy1VePdJNLrr8DPN3MxZKPLm/flL3NmiQ91vfK30cv/LJL246dL+yXZ9h2LNa4bjV5sbpNW6ZL5WBVzvnEK1tkDZy1ynGJXKWzF1O0Pzq+4EAHe/r77Rr67lqlpGdo7uVCpSSN7u2nIZe37/NwdVZXv+p65sZmalS9kg6+cUuhznabcusNNn0/jLG/SiZbzcpXihV9mtVUxMxAhb4SIIvFos6NqunVEW1UrZKrGlW/skpmYMvaNlsWzttyQg99uVm3fbi+wAKNJDWZtFB/74nOc4uwYe+tzZGju6Ssokn4jGH5bpeYrW8zc3HlmRub6YvR3fTJqK5XvbXb3qlD1KpuFU0e3kZd/aqrQ8Oq6tmkuk1cuylL1GP6MvV/c6W+XBeu9YcLXhEEXA2KNAAAAACAEvfBA51Vyc3Z7h79riV0UDGAq5Oex8HZ9s6Lad+gqt65t4Me7tVYU0bcIGcni54PaJnnp9YlqUmtysYbyINa1i4wnwaX31S2WCz6eWwvfTm6q14e3kZ3d7lSILrr44153W7X1+vDTasbpKzzP1q/sljvLT9Ups+5aVzdvHLG3rkm16uft55Q1zeWaei7a/VH6ElHp5OnjEyrgned0oHTCZqxcL++WB9ujL0c2Nom/vmAllrzwiC5FfK/d17uLpp5ZzujXcXdRb2a1tA3/+yuJ/o30VePdJMkPTe4hRHToUHVfOd8pI+/drwSoO/H9DD6chY+r8UTc7Zp4KxV8gsK1ttLDhj9J84nmeI6NrySo8Vi0a9P9s533lUTBuq7x3qY+nJ+zVerkpuLFj/b31jtJ0mTh7exG3s6PkXHzydp6l979cDnm+QXFCyrNevvyKfnbpdfUDBn2OCasd0ZAAAAAKBE/O/u9vrPL1nbHg1oUUu7pwyRs50tUXKvpJGk1PTMQr+ZBVRE5y6myN3VWZXdXXQ6PlnVKrld089MekamYpPSVKuKu92fyfzc0amB7ujUoODAIujhX12bwrNWx9Sv6mn0d/O78ml31yLmme1Saoam/Lk3z/G3lx7U20sP6tC0W676GaUtLilNHaYukSQ93r+JaaznjOU6Mj3/LbYcLS4pTZfSMoz/ZkjSv+eF6raO9Y12+NlEXUxOV9v63oVajVLcXv9rr/4IjVKrulW0LseKiq83RBjXbep526wMu1r3dmuo37afVEJKun5/OquYMaBFLQ1oUUuSdGT6MDk7WfT5uqNKSE5XwA11CjVvPZ8rP0/Bu08ZWxf2b1FLaw6eyffew9Nu0cjPN2lzeN4r195bcVgrDsTIIotO5tiK8PH+TeRlp9C7Y/LN6vT6UlNf+IxhyrTK+DfDX8/01YcrD+s/Q1rmu7XatbjB10dHpg/TU3O36e89p/ONzd4mMdvAWasUMTOwRPJCxUCRBgAAAABQIu7u0kDNaldWizpVJMlugUaS3UN8/94TrRE5zsIAcEVsYqr6/nel6ni767OHuurmd9ZI0jW9SfjYt1u16sAZ/fVMX2VabVfSFPSJ9+L28YNdtGJ/jALb1cszpnYV9wLnWX3wjMb9sEPP3NhMD/ZsrF+3R+ql+WGFyuFAdILa1vcpdM6lyWq16pdtkWpRp4o6NKyqx77dYox9uuaoKTYj06oV+0/rxlaFexO/tCWmpBsFptzOJ6aqupebTpxP0qDLW7f1a15Tcx7tYTe+JKSmZ+rJ77Zp+f4YSdK6w3mvTCrObdosFot+Gmu7xWC27P+mLhzXT9uOxerWQv43M+d/i3P+fH37z+7aGnHeZoVZthl3tpOLs5PmjempFi8vUnUvN8XksUor7KTt6zBpmO0KIynrjCt7f3flXOTTtr6PPn6wi937i5Ozk0WfjOqq5LQMtZq8uOAbgGJCkQYAAAAAUCIsFos6NSp4v3l7n1R/5ocdFGmAPBw+c1GX0jIUcS5JQb/tNvp/2Hxc93dvVKg5rFar0jKsxuqbVQeyPkE//P11duMLc3ZEcaru5WbazsyeR/v5a8HOKIVf3mpoTsgxjerZ2BTz8JebJUlvBO/TG8H7ipRDYkp6keJLU8jR88aqk3mP91TTWpW1JSI2z/h/fr31uv2k/6GYi3mOdX59qVY8P0A3vrXa6Ft76KysVmuxrqZJTsuQq7OTzYcJFu0+pSfnbi/0PH8/27/YciqshtUrqWGOc2YK45kbm2njkXMa3dvP1N/Vr7omDWul37afVNv6PjpxPkmz/tHBNL+Tk0WHL6/M2h0ZpxEf2P87oyzzcHUuOCiHVnWrGNeHYxJ0OOaihrbNu8AM5FY21mwCAAAAAMottjUDCi/sZJz+keOT7tuOXXljfmKOgk1B/CcuVIuXF8kvKFid8ljFkG3jxBuLnmgp8PZw1YrnBxjtyb+HKT45TUmp6Vq0+5Q+X3s0n7ulqpVcFTEzUE8NbCqLRbqxlfl8nPjk67dIE3HuyhkY930aonlbTtjEzC6FlQelIWeBJlvu7abiLqVpxf7TSsvIVEp6hn7ackJ/7Yoyzg7JT2RsklpNXqymkxbKarVqb1S8Tscna/vx2CIVaCSpeZ0qBQddB54PaKlfnuxtd2u2x/s31eJn+2vWPzroxyd65VsAatfAR/d0zSqm3tm5vsJeG2I37s9/9S2exEvRuhcHqWuu4vT3j9lfwbU/OsE4f2fw22s09russ2qS0zJKPE+UD6ykAQAAAAA4FEUaoHCsVmueK12uRWxSWr7jdap4FPszi0vu1RShxy/omR92KO5S/l+TJIW+EiBJemFoK70wtJUk6eSFS+ozc4UkafrCfbq5jWO3CDt54ZI+XHlYo3v76ZdtkeruV12D29TRq3/sKfDeQa1q6fvHemjk55tKIdOrs2j3KS3YGWXqG93bz3TOS178goL1RP8mmjistUZ/tVk7jl/Q5OFtdPxcor7ZeEyS9C/t0J//6qt2Da5sW/fZmqPycHPWqJ6NZbVa1fe/K42xPjNXKCouWRaLdHfnwp+zZLFIPz+R99Zk5dmMO9trdG9/tapbxea8mPu7N9KTA5qqUY2irfS5HjSoVkm/PNlbfkHBRl+tXFssbgi6Ub0v/33R782V2jd1qGl83aGzGuzgv0NQNlCkAQAAAAA4VM3K7npxaCtV8XBRxNlEfb4uXK3reTs6LeC6M/mPgs9S8QsK1p2d6uvtezvmGVOY1QWStG/qUHm6FW3bH0d47/5OGvfDDknSQ5e3N8ttxp3tTCuNfn3S/hvq9at6qn0DH+2KjFP42UQdjrmoZrUrF3/SOaSkZ33a3t3F9rUe98MObTsWq+83HZeUdd5Mp0ZVlZqRaXeu7x7tob92RWnqbW3l5uKkJrWu5P7099v14cjOV51nfHKaziakmOa8VvZWqvzrxmZ6sGcjTfxtd75buEnSJ2uO6uHeftpx/IIk6Yu1RxUVl2yKGfHBOmOrt3MXUzRtYda2d939qmvIu2tMsdn3Wq3Srsi4AvOf/1TvQm3rWZ45O1nUxtf+f7Nn3NmulLMpfhsn3qgPVhzWw739bFZK1fMxF7CDd58ytR/79vrdZhDXFz6uBAAAAABwuCcHNtWDPRsbxZmald0cnBFw/fku5LipPbBlLT09qKnNFjy/7Tipi/mcp3Ipjy14+jaraWqXhQKNJA1vV/DZD/d3b6SImYHGny6Nq+cZ26Sml3F9Jo+D0Quycn+MftkWWWBcWkamBv1vlQLfW6fMTNviWc7t7LJlFyQkqbJ71uev63i7a9n4/urbvKZm3tXeWKGYc6Vi8K5TV/31pGVkqv2UJbrxrdXyCwpWhp1cCyspNV0p6Rl5FgurVXJTs9pV9PPY3pp+R9ab/KN7+2nOo93tvuGdvZJBkk2BJptfULD6zFyhLm8sM/pyF2hyO3A6wabv+8d6aFDLWpKyVlVU9AKNPd8/1kOuzha9OqKNo1MpFvV8PDXtjnZqYWcru9wr+Sb8vNMmZu2hMyWWG8oPVtIAAAAAAK4b2Yc2Zxbyk/7A9Sj8bKJ8PF1V3ctNp+OT5e3hes0Fj7CT5k/1h0y8SXUvf4o7Jt72jemoC5fsvqkYl5SmnZEXbPo7NKyqOY92N876aFDN85ryLU25t1jK7YkBTYo03yN9/PV7aNYWXPd/FqJXhrdR63reuv+zEM28s53u7dawwEPrH/l6iySpS+Nq8s9R9Mnt2Lkko7CQkJIuH09XY6wwhZDQV26WxWKxOfA+W+7tJCf+tkufP9ytwHmzDX57tQ7HXNTYAU1N/U0nLdTj/Zto0rDWhZ5Lkn7cclwv/pq1ounlQNt75z/V2/S1jOzRSHd2rm86yL1tfW+FnYwv0nOlrK3jrkU3v2rq3aymejerqZT0DLsrnyD1blZTYa8NKfevT83KWVufrZowUANnrcoz7uv1EerXvFYpZYWyiiINAAAAAOC6kf1ma3oGRRqUTR+vOqL/Lt4vSfp0VBc9PmebJOmzh7pe0/kmOc+i+emJXkaBRpJqe9ueGRPwzhp9NbqbBrWqbfTtirygWz9YbxO7e0qA3F2cZbFYtPo/A7Vwd7TG9PO/6lz/v707j6ui6v8A/rlsl0XABZRNwRUXFFBScMMtEXFLy6Uy9Sl/WZmV2vOoaZqV8JSltphpZpuPmqk9Pm65bwmukKCGG7iCuCAgyHrP7w9kYLgrcOFe5fN+vXi9Zs6cOXPuDBzmznfOOeZmxqP5Zgzl37guXB2VUq+T+VvOlpa1MR5Jd7MxM1x7cKKwzFBkKRkPpSBNVm4Bjl6+h56tXGFjZaF2Pa7dy8GKhFQk383G+4PbYs+5NL111TTxe1l21vIH5bvPpWHnmVSoBLDzTCo+fc5fa4BnX2IaLqY9AAAsO3BJbfvyg5dx5W42wv3coRICER3c9T6YLwnQAMBHW8+pbdfUM8W23Gf414DWGLtS87B2JdycbJGqIXipy5qJwRizIkbr9td7tZCWn/QARFU9yecnyLseTlxJx38mFvdg9NEQhG3r7oSzKcWBxD1/6/87JuJwZ0RERERERGQ2Sp4VCkDj0D9E5q4kQANACtAAwMSfTuDAeeMMe1PfQX04wOn9W6mlTfjhOHxmbIXPjK14mF+Ej7aoPxRPjoqAo6211OPCu4EDXuvVXO/Df3Pzr3KBmP9N7o72ns54q29Lvb1eNNE1LNi3By7r3De3sDRIs/JQkrQ89de/8MpPJ9Bq9nYUFqnUAmZDvjqMr/ZdxJbTKej88R7ZHDr17K2x4bWusLO2ROP6xb2c+pQJwGljaaHA6Xn94VCmJ9f//XwSk345iY2xN9B81jZEblP/vcgtKMKEVcf1lv/HmVt4e10cpv76F3xn74DPjK34eOtZrfkDGtfVus3QIGaPlq6IntlHLX3t/wVLyy90aYKkyIEGlQcA370UhKd86qFHSxcMC/CQbXule1NEz+wjC3hS7bV6Yhcce6+vrKdiYJO6sjy/lBuCsiRwW1CkkgVxiUqwJw0RERERERGZDQWKH6beysxF0Me78UygJ+YMejLGtacnw6mr6WjawAFX7uVg7n8T0NDJFq/3ao41x65iW3yqzn3HfX+s0pNIP922EXadvQUAaO6q/uZ28t0cnfu3eX9HpY77uHitV3O81ks+JNf/3uxe6fJiZvZFcOQenXke5BXCQgHEXbuPgMZ1kZVbCIUC6Pxx6X57/k6Dz4yt+H58kHT9APUJxgFAW1zaztoSse/3BwCc+3BAhT+Lk601drzdEz0+2adx+7cHL2Pmo2HLCopUaPne9gofo6wVh5IwvKOXNMdYWXHX7mvdb7C/h9Zt5bk728mGmdrwWld41i0dou9hQREUCgWSoyJwIvkenl0WDQAYGeSFaf190WVB8TXq7FMfv04Kkfb7+eXih+u7zt5Cdn7x3E3927nB3fnxGf6PqpfSyhINHeU9he48kAd16zvYYOFz/tIcNS3e2w47a0tpPrCo4e0xunOTmqkwPRYYpCEiIiIiIiKzUfLC+5VHD5xXHk5ikIbMxpFLd/D8iqNo4GCDu9n5j1IzZA/fq0vJ29efjOigsWfIlD4tDZqovqzT8/obpW5PIjdnW5ybP0BrcMtnxtYKlfePH07I1lcfvWrwvhte61qhY2nSuL49trzZXTZsXlk37j9EXkER+nx2oMrHAoDwJYfUApKZuQVa86/7v2A85VO/QsfwcXGQHaNs78tmrnWk5bK9d97s0xKNnGwxd3BbfLjlLJa+2FFj2Udm9kXCjQwUFKnQuWnF6kW1T1OXOrh2r3jOo78fBVJDmjeQ5SkJ0ADAzzFXGKQhmcer7yoRERERERE90So+KBFRzdmfWDxcWWmApuLWn7imc/vFtAdIvpOtlp6dV/yAr46t5vdtmzSwx/yh7RDR3t3gujjZWuvPVIvZ2VTfvBrHku4ZnLdBHfXh7SrDz9NZ67bXV5/SGKAJ8q6HQ//sDQB4JtATG14LwfBATxx/rx/+N1l3T6XyvWb+99dNablk0nWgOPDYpVkDaU6yyrKwUGDJ6AC80KWJbMgyK0sLJEUOxOUFA9G4vj0AYEK3prgcGSGrR1nOdtbo1sIFvXw5xBnpZ2dd+oi9ZA6lsj27yjtzMxNzfk/A8KV/Ir+Qw58Re9IQERERERGRGanE1BEmdeZmBmKv3scLXZpUat4Lenx8e+ASlh/UPRcJADRzdcCIjl749I9EKa1v64bS5NHv/nYaz3by0vj7cvP+Q/T7vPhB+aoJT6GoSOCVn+Q9MByU2h/lvBTig5dCfNDxcBLsbSwxLMATu8/dwhd7LuDCowngS/TyddX7Wah4npPRy4snk+/R0gWHLtwxeN+I9u4ahzUrb9WEp2Tzv1xeMBA37j/E0K//RFi7RmjoqDmQUBXuzrZIyciV1v/SMAxZ2V4qZZc7eRf3LHF1VKr1ljly8Q6e/+4oAGDY139i77RQqVdLI0dbKd+G10Lw5ppYONpaYUiA4cOc6TM0wBNDAzzV0hUKxWP3/4UeHx8M8cOfF+/ijd4tZOkbXgvBiG+iNe7zc8wVAMVD60V0MDy4Tk8mBmmIiIiIiIjIjKg/RSssUpntJOYRXxQPHeRkZ40hFZhPgaruYX5RhXs6/HXtPj79IxHvhvnCX8cE5uUVqQQit/+tN1/iRwOgtLJEQZEKx5PvoXE9e/wrvDW+P5wkBWkAYF9iGvq0Vp8k/Y8zpXPaaJu03c5a/2d+uXtTaXmwvwcGdXDHyG+jcTw5HQCwZ1oomrmoz2tD6oKbNUByVASycgvgaGuNAYsP4u/ULLV8ZecMAoA1E4MR0rwBJpSZDwUAFjzTHrM2xUvra/8vGMHNGqC1myP+Ts3CmonBsLBQoHF9e5ya87TRP8/uqT1x+MIdjOvqg4IigVazNc8/s77MPC0V4VIuoLQ9IRVv9G6BtMxcKeDo5+kE7wYO2KynJw7R48LN2RYJH4SppXfyro/2ns6Iv5Ghdd9P//ibQRricGdERERERERkPoRQnzl7xaEkE9REv+8Pl9Zr+cFLJqxJ7TNz42m0eX8H9iWm6c9cxtf7LuLwxTt4+ccT+jOXMWZFjNZtzVwd8G6YL07P6w+lVXEAxdrSAj9M6IwPh/mhjtIKg8o9gCs/PwlQPPH0B/87q7cufp7qk7Hro1AosGhUAIDiIXiau9Zhz68Kcnw0NFz5wELk8PbY9HpXrHgpCMlREfj11RBEDm8vzUfR2l1+vYYEeMDx0ZB129/qgeBmxfl2vN0TyVERavNYGFuLho4Y360pFAoFbKw0PxbcNqVHheeHKVG+p5ettSWS7mSj84I9UlrCjcxKlU30OBpTZu6ZZwLVe3kl383B//66ibzCIhy5dAd5hUVqeejJxyANERERERERmY20rDy1tH/v0N+DwRTmbyl9oM6HjjVrzbHieV209TbRZuejng53Hqj/numibf4Qfy9n7J3WC2/0bqFzfpeyk5hrM3blMZ3bLRTA+Y/CYW9TuUFRvOrZ48iMPtg2pUel9qdiNlYWeKdfK9RRWiF6Zh+M6dwEgU3qSds7N60veyhbR2mFne/0RG9fV/z6agjqKK0QO+dpJEUORBv3igfcjG3+0Hay9XA/N7T1qHy96pT7/Uy+k43eC/dXujyix92wwNJetp517fDPAb5qed5cE4tx3x/D8yuO4v3fz0AIIf1Q7cDhzoiIiIiIiMhsVHHeaJNpr2NCbjKunPxC2frN+w/hoWOC5hKHy80lUjJ8VXnrT1xDxsMCvNKjmdayOnnXw6mr6Vj3auWGhGrZsA4SbmSgnYeT1KPlXIrmQN/lBQNx5mYmvF3stfZ8MJQh54n0e6tfS7zVr6XB+Vs1csSqCZ2ldXMavnFssDcSU7Ow+uhVAMDi0QFVKs9BKR+Or2TejbKOvde3SscgepyUDaw72lrh1dDm+GRHolq+mMvFLwOsO3EN605ck9LLz/sEAPey8zHpl5P49NkO8G7AoSufBObzX4GIiIiIiIhqvcdpCKa2Zd6Cr+9gY8Ka1C6dP94jW39xZfEk5SqVwOqjVzQGO2Kvpkv5SmyKvaGWTwiBd387jY+2nsPuR71u8gtVsjzJURHY8FpXJEVGwNaA+WFKJEUOxGu9mgMALqQ9wKAvD2PzXzcBAGOWy4dT6+Rd3DNjfFcfWFgo0N7LWWdPHaLKUigU+PiZ9ri8YCCSoyKkIfsqy8rSAj1buWrdnhwVgYaOtlU6BtHjZnigJ1zqKDHqqcYAgGlPtzJ439wC9eHPnl12BMeS7iH00/3GqiKZGIM0REREREREZDY0DezRyEmpIdW00rPzcbZMMKB87w6qPg/y5Of68u1sAMC2hBS8tykB4UsOQQiB+OsZUKkEUjNyMWtTgkFlZ+eXPgx75acTyMgpwKmr6VLa/um9Kl1vhUKBLk3l83y8tTYOPjO2IvryXSnt9Lz++H7cU/jmhY6YEd660scjqggLI3Zj/HHCU3izTwu19IsfhxvtGESPk89G+iNmZh/UtS9+oePNvi0RPbOPQfu2nrMDPjO2ytJK/u8BwLV7OegWtRffHbpsvApTjeNwZ0RERERERGQ2iopUamluTub11vXW0yl44z+nZGnHk9ORmJoFXzdHE9WqdtA1Pn/kttK5i5rO3Ka3LGsNQ05lPiyQrfvP3ylb93Gp2rAy6Tn5evOU9JgJb+9epWMRmYpCoUBYOzd8ufeiLN2chnkjqkkKhQJWlvJAaF27ivXAvXH/ITzr2qn9H+zxyT4AwEdbz+kcppPMG1tHIiIiIiIiMhtFZZ49uDsXB2fK95wwpZjLd9UCNCXCFh+s4drUPmXPfT370uG/ilQCN+4/1Lt/kHc9jOjoBQA4czNDbXtmboFamjHpeyj3v8ndq/X4RDXFr9w8Xcff62eimhCZJzsbSyx9oaPB+WdsOA0AOFhufrWyHuarD41GjwcGaYiIiIiIiMhsqFSlUZqOj+bluHQ7W5ZuSqPLzR1S3sdbz9ZQTWqnbfGp0vLSFzpJy81n6e85AwCJqVlo5lrcG+aXmKsoUgn8efEOMnKKgzNJZYaQqQ69fLXP1fHRMD+093LWup3ocfOvAcXD9T3XyQuujuY3bCWRqQ1s746IDqW9JucMaovkqAgkR0Vg3/ReGNO5sbTt0IU7uPMgDyeT72kt74u9F6q1vlR9GKQhIiIiIiIis1FUZhiPvDKT5R65dFdTdpML93OTra84lKRzSC4yniCfehXeZ/lLQWhS315aH708Gi98dxT+83diR0IqXlutuZcUAPww4alK1bMshUIB/8Z11dLHhXjjxWDvKpdPZE5e7dkMW97sjgXD25u6KkRma/6QdtKys11pD9GmLg6IHN5BlvdA4m18UW4YwbK+2X/J+BWkGsEgDREREREREZmN/MLSOWmsLEq/sv51/b4JaqNb/7aN8M2LndTSm87chpHLohG1/W8Ne5GxaJpTpsSaicGy9VFBjXHon70R0rwBfBqUzitzPDldWp70y0mt5f3nlS7o5duwCrUt9XyZN6NLfDDUzyhlE5kTCwsF/Dyddf6tEtV2ttaW0vJ9DfOWlR0Sbdr6v/SWd/VuDrLNaJhYMoyVqStAREREREREVOK5IC98vus8AMDP0wk7zhQPb6VQ6NrLNJaMDtS67VjyPRxLvofp/VtxsmwjuZ6eY1C+5KgIpGXlytL+/Wzp28iGDCn2eq/m+OejoZqMbURHLzjZWiMrtxD/3HAaH5R5i5qIiGoXB2Xp4/nB/h5q2we2d4dnXTu1edeaujjA0kKBD4f64VxKJuZvKR5uteen+wAAh//VG1717NXKI/PEIA0RERERERGZDXdnO2nZz9MZz3bywm8nr+NBrnm8FdqlaX0cTbqHDl7OsLMpfvvVz9MJCTcyNea/m52PRk62NVnFJ4YQAll5hXCyLR7+pfu/90nb9k4LVcvfrUUDRD5THIwp2wtrZJBXhY67ZHQAhgZ4VqbKBrGytEB4++I5CIYEeMjeoiYiotonKXIg8gpVWv8fdPSuJwvSjOncBB8MaQdLCwUsLRS4WS6AAxT/z0yOiqi2OpNx8XUeIiIiIiIiMitb3uyOT5/tgNBWroh+NBfNLzFXTFyrYkeTiifsfefpVlLaf9/ojsjh7bF7ak+1/KkZuTh55R52n72F/8bdQE6+eQSbHgczNsSjw7ydOHszE4VFKtm2kuGTpj66DnMGtcXqV4LRpEHxW8OOtqXvpI7u3ESt7GUahqkr0bW5S5XrbigGaIiISKFQ6Px/0LV5A9n6gmf8YGNlAUuL4m7G3VvW3P8tqh7sSUNERERERERmxc/TGX6exUNSNXN1wI37D5FpBj1phBDS8sP8ImnZ0kKBMRoCAQAw9Os/ZevPdfLCp8/5V08FnzDrTlwDADyz9E/sm95Lts3dubh30pt9WuCZQE941bOTbbe2tMDx9/ohPScfrRo5qpXduL48/5jOTbDm2FX0ad0Qro5KI34KIiKiqhne0RMzN8YDAI7M6ANFuTFgGznZwt7GEjll7k3o8cIgDREREREREZmtpDvZpq6CpKCoNEhT2eHX1p+8ziBNBeUVqtA1aq+0vun1rtI8PwqFAo3rax5z39VRqTXg0tbdSbb+bpgvIoe3N1KNiYiIjEdpZal36LLcAvUATWGRivPiPSZ4lYiIiIiIiMhs3XmQZ+oqSPLLDLmltNb8dfrV0GZ6y0k2o8CTuVKphNZtgU3qVbn88m8h23HYMSIieoxp+rd56up9AMD+xDQs3X9R1iOYzAuDNERERERERGS2rC1q7mtrbkERUjNyAQD5hSocS7oHIQR6fLIXPjO2IvST0onrlVaa6zUzvA2OvddX53Em/XLSeJV+QuUVqvRnMiI7GwZpiIjo8bV8rPpca1/vu4i0zFyMX3Ucn+xIxHeHkkxQMzIEgzRERERERERktqb1b6V1m0olsObYVXyy429cuJVV5WO1nrMDwZF7cPZmJlrN3o6R30bjxZVHce3eQwDA3ex8KW+IjsnlGzra6jzO36lVr+uT7vs/q/9B0ifPdgAAfDTMr9qPRUREVJ36tG6olnbg/G30/LT0BZOPt53DjfsPa7JaZCAGaYiIiIiIiMhsPdW0vtZt2xJSMHNjPJbuv4SnFx2s0nGycguk5ddWl/Z0+fPiXY35ne2sdZaX+NEAafmLMYH4bVJIler3pCs/lv6nfyRqzLfipSCjHXNkUGP89X5/vBjsbbQyiYiITMHK0gLJURFIihwoS88tkPdMHfvd0ZqsFhmIQRoiIiIiIiIyW1m5hdJyepmeLADw05ErVS4/PTsfq/5MwunrGVLalbs5VS5XaWWJV7o3Reem9TG4gzs6eNWtcpmPu9SMXLzwXQxOX78vS1+8+zxaz9mBxbvPS2kudZSyPMlREUiOisDTbRsZtU7O9rqDbURERI8ThUKBJaMDtG6/zHnxzJKVqStAREREREREpE3HMpPE5xfJ3wY9lnxPtp5XWASllWFziwghMOmXk/jjzK2qV1KL2YPaSss2VgosGuWPd9b9BQD48+IddGuhfci0J1Fw5B4AwJCv/kRyVAQAIPZqOhbvvgAAWLz7At7u1wr7EtNw50GetJ+uh01EREQk18tXfegzMm/sSUNERERERERmy8aq9GtrSkautPzZTvXhsLLzitTStBmzIqbSAZrf3+hWqf26lpnH5oVaNtzI2mNXZesFjwJuzyw9Iksf+W00Jqw6Lq2vGv8UhgZ4Vn8FiYiInhBOtur9Mj4Z0UFa9pmxFSkZnJvGnDBIQ0RERERERI+Fg+dvS8tf7r2otj07r1AtTZuYy/f0ZyonKXIgkqMiENC4boX3BYBGTraV2u9JsP7kddl62eHlyjqWJL8uXZppn5OIiIiI1CkUCswf2k6W1szVQbYeErm3JqtEenC4MyIiIiIiIjJrlhYKFKkE6tlbY/nBS/jfXyka86Xn5KNxfftqqcOP/+gMhUJh1DJVKgELC+OU6Tt7O/IKVejXpiHmDm4HV0clbK0NG/qtuq09dhUnr6TL0jacuo6Np65r2aOUvQ0fWxAREVXUSyE+SEzNwuqjV9GyYR3Z8LFV9dvJ69iXmIbFowJgbck+IMbAux0iIiIiIiIya+F+bthyOgWFKoEF2/7Wmi/zoeE9aSqqjbuj0cv8/s8kvNKjWZXLycgpQF5h8fBhu8+lYfe5NADAmQ/C4KA0/df+GRvj1dL+c/SqhpxyUcPbV0d1iIiIaoX3Itqgvacz+rZppPGlkEMXbqNHS9cKlzt9ffH8eltPp2BkkBeihncw2ksntRVDXURERERERGTWLB998VcJ3flyCwyfk0Yblzo2AIAfJjwlS3eyta5y2QAwLMBDWv5o67kqlSWEQJFKQCU0n5gdCalVKr8mfTu2k1qaq6PSBDUhIiJ6MtjbWGF05ybS/9MlowNk28euPIb7OfkVKvPugzzZ+q8nrqPZrG1VqicxSENERERERERmrmSS+bSsXLVt/5vcHV2aFs9bcjTpbpWPdWL200iOikAv34YY7F8aUDHW0GHPd/E2SjkAMOmXk+j5yT7kaAlOPajAHD3V5eQVw+b+CWvnppbWp3VDY1eHiIio1hoa4Imjs/rK0gLm70L0JcPvnzp9tFtjus+MrVWqW21X4SDNwYMHMXjwYHh4eEChUOD333+Xbd+4cSPCwsLg4uIChUKBuLg4tTJSU1MxduxYuLm5wcHBAR07dsRvv/0my5Oeno6xY8fC2dkZzs7OGDt2LO7fvy/Lc/XqVQwePBgODg5wcXHBlClTkJ8vj/7Fx8cjNDQUdnZ28PT0xPz58yHKvWV04MABdOrUCba2tmjWrBmWLVtW0dNCRERERERE1WRbfHGPkG8PXJalN65vh/ZezkjLKn6rc8WhJJxLyaz0cTzr2snWr97LqXRZ2gQ2qStb35GgeX4dQ/xx5hZu3H+IblGaJ/+du/lMpcs2hiKVwIhvonXm6dnKFWc+CFNLHxfibfQ5gIiIiGq7Rk62amljVsSg1ezt2JeYpnNffYGY87eyqlS32qzCQZrs7Gz4+/vjq6++0rq9W7duiIqK0lrG2LFjkZiYiM2bNyM+Ph7Dhw/HqFGjEBsbK+V5/vnnERcXhx07dmDHjh2Ii4vD2LFjpe1FRUWIiIhAdnY2Dh8+jLVr12LDhg2YNm2alCczMxNPP/00PDw8cPz4cXz55ZdYuHAhPv/8cylPUlISBg4ciB49eiA2NhazZs3ClClTsGHDhoqeGiIiIiIiIqpBE7o2BQAk3cmW0sKXHFLLl1dYhK/3XUSfz/arBXH6tWmI4YGemB3RBpte7yrbVh3Dq1tbWmDOoLbS+qRfThn/IGZgyppYDF/6pyzt+Hv9UDbuEjOzL376R2eN8+ZMC/Ot7ioSERHRI/mFKkxYdbxKZWyPf3yGWTU3FZ5BMDw8HOHh4Vq3lwRSkpOTteaJjo7GN998g86dOwMAZs+ejUWLFuHUqVMIDAzEuXPnsGPHDsTExKBLly4AgBUrViAkJASJiYnw9fXFzp07cfbsWVy7dg0eHsVd0D/77DOMHz8eH3/8MZycnLB69Wrk5ubihx9+gFKphJ+fH86fP4/PP/8cU6dOhUKhwLJly9CkSRMsXrwYANCmTRucOHECCxcuxIgRIyp6eoiIiIiIiKiGOCg1D0F24VYWWjZylNZf+fEEDl24A6A4iJMUOVDatmB4ezR0VH+rFABmDWyD55ZF49XQZkasNdDAwcao5elyIvkegnyKh4MrLFIh4ovDqGNrhT6tG6JbCxcENK5r9GPmF6qw+a+bsjRnO2u4OipRdmALR1v5I4nevq7Yl3gbgPHmACIiIiLjC2vXCH+cuYU1E4MxZkUMAKCZq4OJa/X4MsmcNN27d8e6detw7949qFQqrF27Fnl5eejVqxeA4iCOs7OzFKABgODgYDg7O+PIkSNSHj8/PylAAwBhYWHIy8vDyZMnpTyhoaFQKpWyPDdv3pSCSNHR0ejfv7+sfmFhYThx4gQKCgo01j8vLw+ZmZmyHyIiIiIiIqoeQd71NKZfu/cQAPBsJy9Z+tOLDgIAorb/jSFfHZYCNCWaziyd4NbGUvvX4qd86uPs/DDMDG9TqXprM8BPff6Vilh24BI2nLxuUN5XfjohLX978DISb2Xh5JV0fPpHIoZ9/ScycwukOX+MYd7mM2g1e7sszdnOGn/NLf7eXXaen/I9aD56pj16tHTBqglPGa0+REREJNevTSOD8xYWqZCRU4C1x65KaRHt3fHt2CAkR0UgpHkDKZ1BmsozSZBm3bp1KCwsRIMGDaBUKvHqq69i06ZNaN68OYDiOWsaNlSfILBhw4ZITU2V8jRqJP+FqlevHmxsbHTmKVnXl6ewsBB37shv5EtERkZKc+U4OzujcePGFT0FREREREREZKCRQcXfucpPJB/RwR0A0NtX/ftjYZEKyw5cwunrGTrL1tdjw96mwgNQ6GVrbYmfX+4srRephI7cchfTshC1/W9MW/+X2rbmrg4Y07kJomf2kdLqPAqEvLcpHp/+kai2T4d5O9Hyve1q6ZXx4Zaz+OFIslp6xsPSFyBbNayjdX/Punb4+eUuGq8nERERGcc3L3bE3MFtsXVKd7VtP8dckZbzC1Vo8d52+M/fiRkb46X0F7o0ke2z7v+C8flIf7TzcK6+Sj/hTBKkmT17NtLT07F7926cOHECU6dOxXPPPYf4+NKLrWmCQCGELL0yecSjvtUVzVPWzJkzkZGRIf1cu3ZN62clIiIiIiIi47idlSdbb+PuBACws1H/aptXaFjvEIvqmHjGAJ3K9A769YTh3ykf5BVp3TYyqDEih7eHu7MdXu9V/BJkdl4hilQCq49e1bofAPwUnWxwHbRZeThJb54Xg73R2s0R73LOGSIiIpOwtrTAhG5N0cbNSW3bnN8TpOXyPWNLdG3hIlvv0qwBhnf00piXDGP8V4L0uHTpEr766iskJCSgXbt2AAB/f38cOnQIX3/9NZYtWwY3NzfcunVLbd/bt29LvV7c3Nxw9OhR2fb09HQUFBTI8pT0mCmRlpYGAHrzWFlZoUGDBtBEqVTKhlAjIiIiIiKiavQojhJ/Q3OvmOau6r0zXvnxhIac5sPWqnQ+nbXHrmJM5yY6chc7cukOnl9xVOv2ssOHrTteHPhJzylA81nbtO0iSdBybo2tnoMNdrzds0aORURERNpZWCjw+Uh/TP1V3jtXCIF8LUOhxszsWxNVq3VqvCdNTk5O8YEt5Ie2tLSESlV88UNCQpCRkYFjx45J248ePYqMjAx07dpVypOQkICUlBQpz86dO6FUKtGpUycpz8GDB5Gfny/L4+HhAR8fHynPrl27ZHXZuXMngoKCYG3NiQqJiIiIiIhMTV9fF+8G6mOgR1++q7fcX18NqWSNqq5sD57M3EKD9tEVoAGAFmWGEjO0J1GJX08YNseNNrqGbNs2pUeVyiYiIqLqMbyjF5KjImRpf6dmIT1b81ztbs62NVGtWqfCQZoHDx4gLi4OcXFxAICkpCTExcXh6tXirtP37t1DXFwczp49CwBITExEXFyc1FuldevWaNGiBV599VUcO3YMly5dwmeffYZdu3Zh2LBhAIA2bdpgwIABmDhxImJiYhATE4OJEydi0KBB8PUt7hLdv39/tG3bFmPHjkVsbCz27NmD6dOnY+LEiXByKu6q9fzzz0OpVGL8+PFISEjApk2bsGDBAkydOlUaymzSpEm4cuUKpk6dinPnzuH777/HypUrMX369MqfVSIiIiIiIjIaTUNR73i7Yg/+B7Rzw6UFAzFvcFsAwJLRAejctL5R6ldVSXeyK73vh8P8pOXcgtKh0N7s00Itr72NJRo42GgtK8aAwJY2D8oFmp7t5IWkyIG4vGAg2nqoD6dCRERE5uPgu72l5dTMXOmewt6mtOevVz27Gq9XbVHhIM2JEycQGBiIwMBAAMDUqVMRGBiI999/HwCwefNmBAYGIiKiOAI3evRoBAYGYtmyZQAAa2trbNu2Da6urhg8eDA6dOiAn376CT/++CMGDhwoHWf16tVo3749+vfvj/79+6NDhw74+eefpe2WlpbYunUrbG1t0a1bN4wcORLDhg3DwoULpTzOzs7YtWsXrl+/jqCgILz++uuYOnUqpk6dKuVp2rQptm3bhv379yMgIAAffvghvvjiC4wYMaKip4aIiIiIiIhqSItyQ5yNDfbWmf+r5wNhaaHA+G5NkRwVgaEBntVZvQrLK9Q+14w2Yzo3ln1uJ7vS0SD+0b2pWv7Vr3TBvnd7obevq9qkvwAwenlMhetQYmOsvCfOwuf8oVAoTDbnDxERERmuSQN7dGtRPPVH0u1sPJSCNFb4bVIIBrRzw/a32DO2uiiEENr7JJNBMjMz4ezsjIyMDKkXDxERERERERnHmmNXMXNjvCwtKXKgrIeNEAL3cwoQ+OGu8rvj7w8HwNbaUi3d1HxmbJWWd7zdA601TOBbVp+F+3G5TK+bknPwe+wNXL6TjXf6tZSdk7LlA8Cx9/qioWPpMCXp2fk4cP423l4XJ6WVH/JEH5VKoFm5OW9e69Uc/xrQukLlEBERkWmNWR6jNlysVz07HP5XHxPV6PFnaNygxuekISIiIiIiIqqI/xy9qpZWfgg0hUKBelqG8jLHAA0AzI5oIy0fT7qHPeduyYYsK+96+kPZesk5GBboialPt1I7J7+/0U1atrO2lAVoAKCegw2GBXpiTOfSXjW6jq9Jp4/Ug2IM0BARET1+NM3nZ2em91BPGgZpiIiIiIiIyKxlPNQ8ea0hNr3e1Yg1Ma5XejSTluf89wxe/vEEWs/ZoTFvfqEK+UUqaX3NxOAKHcvR1krrtnfDfKXl1nN24NlvjiAnv1Br/hIXbmUhPafy14aIiIjMh0sd9ZddUjNzTVCT2odBGiIiIiIiIjJrVZnWJLBJPeNVpBr4NLBXS1Op1EclLxs0+fTZDghp3kBv2a6OSmn5oY4eMvUdbGRBnBNX0tH2/T+QpufBzNOLDuqtAxERET0edr0TqpaWlav/pQ2qOgZpiIiIiIiIyKw9yZPPjw3xUUs7dTVdLe2ttXHScj17zcO6ledZ105anhTaXGdeJ1trtbQPtpzVml9bT5vRTzU2qG5ERERkXuo52CA5KgKn5jwtpc0M5xCmNUF7f2ciIiIiIiIiM2ChMDxI88mzHfDfuBto5GSLPq0bVmOtjCO/UKWW9uGWs/jv5O7S+t+pmThw/ra03rsCn2vxqABsOX0T47v66MxXR6n+eKCvjuNcvp0tW/9iTCA2x93Ee2Xm2SEiIqLHT30HGyRFDkRugQp2NpyTpiYwSENERERERERmrXxHmhk63uocGdQYI4Men94cKqE+tNlf1zNwLiUTqRm56N26IVIzSocdC/KuB8sK9CwaFuiJYYGeevPdy8lXS9sWnwJXRyVWHk7CR8P84FWvdGi2yO3nZHmH+HtgiL+HwfUiIiIi86VQKBigqUEc7oyIiIiIiIjMWvmeNA4aen08rl4M9taYHr7kECb8cByJqVlQlPn8de3VhyUzhttZeWppu8+lYezKY9ifeBsfbZEHZf68eFdaVlrx0QIRERFRZfFOioiIiIiIiMxa+Z4jT9IMNc521lg8KkDr9rMpGbLP+3dqVrXXSZN72eo9bUr8/ka3GqwJERER0ZOFQRoiIiIiIiIya+WDNFfv5ZioJtVjWKAn/vtGN9lEvSWsLCxQtiPR9fSH1V6fpMiBamlNGtjj55gruJ+TjyJV6RBt3g3s0cbdqdrrRERERPSkYpCGiIiIiIiIzJqi3HBnwwL0z7HyuPFvXBf1HWzU0v9z9Co0TFtjdD9MeAoAMGtga7XzDQC/nbyOOb8nIGD+Lhy6cFtK//RZ/+qvHBEREdET7MkZyJeIiIiIiIieSJblYgZtPWpPz43oy3cRfbl0/pdfXu5SLcfp5dsQFz4Oh7Wl/nc5x686Li13blq/WupDREREVFswSENERERERERmzUJDz47aKrhZ9QVFygZopj3dCn+nZsGljg1+jL6iMb+ro7La6kJERERUWzBIQ0RERERERGaNQZpSVgb0dDGGN/u2BACcuZmhNUhTWKSqkboQERERPck4Jw0RERERERGZNQt+czUZGx1BofScghqsCREREdGTibe6REREREREZNbC/dxNXYUaEzOzL8Z39cGeaaHYN72XbNu7Yb41Xp+c/KIaPyYRERFRbcIgDREREREREZm1If4epq5CjXFztsW8Ie3Q3LUOmro4SOn92jTCG71b1Hh92rg71fgxiYiIiGoTBmmIiIiIiIjIrFla1t45ab5+viMiOrhjyegAkxzfxsoCFz8Ox7FZfTGwvRt+ebmLSepBRERE9KSyMnUFiIiIiIiIiHSxVNTeIE1EB3dEdDDtcG9WlhZo6GSLpS90AgB41rXDjfsPTVonIiIioicFe9IQERERERGRWbO0qL1BGnMkhDB1FYiIiIieGAzSEBERERERkVmzKNOTpuw8LUREREREjzsGaYiIiIiIiMisle1JY8VeNSb3xZhA1FFaYcEz7U1dFSIiIqLHHuekISIiIiIiIrNWNi7Ty9fVdBUhAECQT338Nbc/h6EjIiIiMgL2pCEiIiIiIiKzpigz3NmITl4mrAmVYICGiIiIyDjYk4aIiIiIiIjM3lt9WyItKw++jRxNXRUiIiIiIqNhkIaIiIiIiIjM3jtPtzJ1FYiIiIiIjI7DnREREREREREREREREZkAgzREREREREREREREREQmwCANERERERERERERERGRCTBIQ0REREREREREREREZAIM0hAREREREREREREREZkAgzREREREREREREREREQmwCANERERERERERERERGRCTBIQ0REREREREREREREZAIM0hAREREREREREREREZkAgzREREREREREREREREQmwCANERERERERERERERGRCTBIQ0REREREREREREREZAIM0hAREREREREREREREZkAgzREREREREREREREREQmYGXqCjwJhBAAgMzMTBPXhIiIiIiIiIiIiIiITK0kXlASP9CGQRojyMrKAgA0btzYxDUhIiIiIiIiIiIiIiJzkZWVBWdnZ63bFUJfGIf0UqlUuHnzJhwdHaFQKExdHbORmZmJxo0b49q1a3BycjJ1dYiInhhsX4mIjI9tKxGR8bFtJSIyPratjw8hBLKysuDh4QELC+0zz7AnjRFYWFjAy8vL1NUwW05OTmwwiIiqAdtXIiLjY9tKRGR8bFuJiIyPbevjQVcPmhLawzdERERERERERERERERUbRikISIiIiIiIiIiIiIiMgEGaajaKJVKzJ07F0ql0tRVISJ6orB9JSIyPratRETGx7aViMj42LY+eRRCCGHqShAREREREREREREREdU27ElDRERERERERERERERkAgzSEBERERERERERERERmQCDNERERERERERERERERCbAIA0REREREREREREREZEJMEhDRERERERERERERERkAgzSVEFkZCSeeuopODo6omHDhhg2bBgSExNleYQQmDdvHjw8PGBnZ4devXrhzJkzsjzLly9Hr1694OTkBIVCgfv376sdy8fHBwqFQvYzY8YMvXWMj49HaGgo7Ozs4Onpifnz50MIIcuzevVq+Pv7w97eHu7u7pgwYQLu3r2rt+ylS5eiadOmsLW1RadOnXDo0CHZ9nnz5qF169ZwcHBAvXr10K9fPxw9elRvuRs2bEDbtm2hVCrRtm1bbNq0SbY9KysLb7/9Nry9vWFnZ4euXbvi+PHjOsu8e/cuBgwYAA8PDyiVSjRu3BiTJ09GZmamLJ8h56s8Q65xXl4e3nzzTbi4uMDBwQFDhgzB9evX9Z4LotqK7avx29czZ85gxIgR0uddvHhxpY6tSfnzp1AosGzZMll9NeVxcHDQWe748ePV9gkODtaYVwiB8PBwKBQK/P7773rrTFQbsW01TdtqyHkv76+//sKYMWPQuHFj2NnZoU2bNliyZIlavl9//RUBAQGwt7eHt7c3Pv30U73nYePGjQgLC4OLiwsUCgXi4uI05ouOjkafPn3g4OCAunXrolevXnj48KHe8olqG7atpmlbv/nmG3To0AFOTk5wcnJCSEgItm/frre++u5by7p48SIcHR1Rt25dveUaco0Btq1EhmLbapq2VdN3dzc3N53lGnLfmpubi/Hjx6N9+/awsrLCsGHD9J4DwLBr3KtXL7U6jx492qDyzYqgSgsLCxOrVq0SCQkJIi4uTkRERIgmTZqIBw8eSHmioqKEo6Oj2LBhg4iPjxejRo0S7u7uIjMzU8qzaNEiERkZKSIjIwUAkZ6ernYsb29vMX/+fJGSkiL9ZGVl6axfRkaGaNSokRg9erSIj48XGzZsEI6OjmLhwoVSnkOHDgkLCwuxZMkScfnyZXHo0CHRrl07MWzYMJ1lr127VlhbW4sVK1aIs2fPirfeeks4ODiIK1euSHlWr14tdu3aJS5duiQSEhLEyy+/LJycnERaWprWco8cOSIsLS3FggULxLlz58SCBQuElZWViImJkfKMHDlStG3bVhw4cEBcuHBBzJ07Vzg5OYnr169rLffevXti6dKl4vjx4yI5OVns3r1b+Pr6ijFjxlTofGliyDWeNGmS8PT0FLt27RKnTp0SvXv3Fv7+/qKwsFBn2US1FdtX47evx44dE9OnTxdr1qwRbm5uYtGiRZU6tiYAxKpVq2TnMCcnR9qelZUl25aSkiLatm0rxo0bp7PccePGiQEDBsj2u3v3rsa8n3/+uQgPDxcAxKZNm3SWS1RbsW01TdtqyHkvb+XKleLNN98U+/fvF5cuXRI///yzsLOzE19++aWUZ9u2bcLKykp888034tKlS2LLli3Czc1NlkeTn376SXzwwQdixYoVAoCIjY1Vy3PkyBHh5OQkIiMjRUJCgjh//rxYv369yM3N1Vk2UW3EttU0bevmzZvF1q1bRWJiokhMTBSzZs0S1tbWIiEhQWed9d23lsjPzxdBQUEiPDxcODs76yxTCMOuMdtWIsOxbTVN2zp37lzRrl072bnQVaYQht23PnjwQEyaNEksX75chIWFiaFDh+oss4Qh1zg0NFRMnDhRVuf79+8bVL45YZDGiNLS0gQAceDAASGEECqVSri5uYmoqCgpT25urnB2dhbLli1T23/fvn06GwxNfzy6LF26VDg7O8v+4UdGRgoPDw+hUqmEEEJ8+umnolmzZrL9vvjiC+Hl5aWz7M6dO4tJkybJ0lq3bi1mzJihdZ+MjAwBQOzevVtrnpEjR4oBAwbI0sLCwsTo0aOFEELk5OQIS0tLsWXLFlkef39/8d577+msc3lLliyRfU5Dzld5hlzj+/fvC2tra7F27Vopz40bN4SFhYXYsWNHhepMVFuxfa16+1qWts9cmWMLISocGImLixMAxMGDB3XmGzdunEE3b3FxccLLy0ukpKQwSENUAWxba6ZtLa/8eTfU66+/Lnr37i2tjxkzRjz77LOyPIsWLRJeXl5a713LSkpK0hqk6dKli5g9e3aF6kdExdi2mqZtFUKIevXqie+++05nHkPvFf/5z3+KF198UaxatUpvkMbQa8y2lajy2LbWTNs6d+5c4e/vb1AZupS/by3L0O/5hl7j0NBQ8dZbb1W1yibH4c6MKCMjAwBQv359AEBSUhJSU1PRv39/KY9SqURoaCiOHDlS4fL//e9/o0GDBggICMDHH3+M/Px8nfmjo6MRGhoKpVIppYWFheHmzZtITk4GAHTt2hXXr1/Htm3bIITArVu38NtvvyEiIkJrufn5+Th58qTscwFA//79tX6u/Px8LF++HM7OzvD399dZ5/LlhoWFSeUWFhaiqKgItra2sjx2dnY4fPiwtD5v3jz4+PhoPc7NmzexceNGhIaGyo6t73wlJydDoVBg//79AAy7xidPnkRBQYEsj4eHB/z8/Cr1e0BUG7F9rXr7qo+hx9bWvk6ePBkuLi546qmnsGzZMqhUKq3H+u6779CqVSv06NFDSivfvpbYv38/GjZsiFatWmHixIlIS0uTbc/JycGYMWPw1Vdf6e2GTURybFurv23VpPx5B/Tfu5bsV3afvLw8jffE169fx5UrVwBob1t1SUtLw9GjR9GwYUN07doVjRo1QmhoqOxem4i0Y9ta821rUVER1q5di+zsbISEhEjplb1v3bt3L9avX4+vv/5a4/Eq81yAbStR1bBtrbm29cKFC/Dw8EDTpk0xevRoXL58Wba9MvethqhM21pi9erVcHFxQbt27TB9+nRkZWVV6NjmgEEaIxFCYOrUqejevTv8/PwAAKmpqQCARo0ayfI2atRI2maot956C2vXrsW+ffswefJkLF68GK+//rrOfVJTUzUeu2zdunbtitWrV2PUqFGwsbGBm5sb6tatiy+//FJruXfu3EFRUZFBn2vLli2oU6cObG1tsWjRIuzatQsuLi4VrnNJuY6OjggJCcGHH36ImzdvoqioCL/88guOHj2KlJQUaR8XFxc0b95crfwxY8bA3t4enp6ecHJywnfffVeh82VtbQ1fX1/Y29vL0nXVOTU1FTY2NqhXr57e80VE6ti+Gqd91cfQY2tqXz/88EOsX78eu3fvxujRozFt2jQsWLBA43Hy8vKwevVqvPzyy7L08u0rAISHh2P16tXYu3cvPvvsMxw/fhx9+vRBXl6elOedd95B165dMXTo0Ep/dqLaiG1rzbSt5Wk674D2e9cS0dHR+PXXX/Hqq69KaWFhYdi4cSP27NkDlUqF8+fPS2OLl9wXa2pb9Sn5Ij5v3jxMnDgRO3bsQMeOHdG3b19cuHChIh+XqNZh21qzbWt8fDzq1KkDpVKJSZMmYdOmTWjbtq20vTL3rXfv3sX48ePxww8/wMnJSeNxK/NcgG0rUeWxba25trVLly746aef8Mcff2DFihVITU1F165dZfPoVOa+1RCVaVsB4IUXXsCaNWuwf/9+zJkzBxs2bMDw4cMrdGxzwCCNkUyePBmnT5/GmjVr1LYpFArZuhBCLU2fd955B6GhoejQoQNeeeUVLFu2DCtXrpT+SNq1a4c6deqgTp06CA8P13nssulnz57FlClT8P777+PkyZPYsWMHkpKSMGnSJADAoUOHpHLr1KmD1atXV+hz9e7dG3FxcThy5AgGDBiAkSNHqr0FXZ6+cn/++WcIIeDp6QmlUokvvvgCzz//PCwtLaU8kydPxp49e9TKXrRoEU6dOoXff/8dly5dwtSpU/Ueu2y6p6cn/v77b3Tu3LlCddakMr8HRLUR21fjta+G0HdsTe3r7NmzERISgoCAAEybNg3z58/XOnn1xo0bkZWVhZdeekmWrql9HTVqFCIiIuDn54fBgwdj+/btOH/+PLZu3QoA2Lx5M/bu3atxwkMi0o1ta822rSW0nXdt965A8SSvQ4cOxfvvv4+nn35aSp84cSImT56MQYMGwcbGBsHBwdIkqSX3xdruXXUpeaP81VdfxYQJExAYGIhFixbB19cX33//fYU+L1Ftw7a1ZttWX19fxMXFISYmBq+99hrGjRuHs2fPStsrc986ceJEPP/88+jZs6fW41bmuQDbVqLKY9tac21reHg4RowYgfbt26Nfv37Sd+8ff/xRylOZ+1ZDVPaZ68SJE9GvXz/4+flh9OjR+O2337B7926cOnWqQsc3NStTV+BJ8Oabb2Lz5s04ePAgvLy8pPSSYVdSU1Ph7u4upaelpalFASsqODgYAHDx4kU0aNAA27ZtQ0FBAYDiYQ5Kjl8+ylryx1py/MjISHTr1g3vvvsuAKBDhw5wcHBAjx498NFHHyEoKAhxcXHS/o0aNYJSqYSlpaXGsst/LgcHB7Ro0QItWrRAcHAwWrZsiZUrV2LmzJkaP5e2Opctt3nz5jhw4ACys7ORmZkJd3d3jBo1Ck2bNtV73tzc3ODm5obWrVujQYMG6NGjB+bMmQN3d3eDzpem8gDd19jNzQ35+flIT0+X9aZJS0tD165d9daZqDZj+6r9c1W0fdXHxcXF4GPrExwcjMzMTNy6dUtt3++++w6DBg2q1NBk7u7u8Pb2lt423Lt3Ly5duoS6devK8o0YMQI9evSo0PA+RLUJ21btn8vYbWtZ2s67LmfPnkWfPn0wceJEzJ49W7ZNoVDg3//+NxYsWIDU1FS4urpKX5j1DUGhS8m1L/s2OgC0adMGV69erXS5RE86tq3aP1d1ta02NjZo0aIFACAoKAjHjx/HkiVL8O233xpcRvn71r1792Lz5s1YuHAhgOKHgSqVClZWVli+fDn+8Y9/qJVhyDVm20pUOWxbtX+u6rxvLXuM9u3bG9TjT9d9a2VU9hp37NgR1tbWuHDhAjp27FjletQU9qSpAiEEJk+ejI0bN2Lv3r1qQYKmTZvCzc0Nu3btktLy8/Nx4MCBKj+cj42NBVD6j97b21v6w/T09AQAhISE4ODBg7JxFHfu3AkPDw/pi1tOTg4sLOS/BiVv3gkhYGdnJ5XbokULODo6wsbGBp06dZJ9LgDYtWuX3s8lhJANU1NeSEiIWrk7d+7UWK6DgwPc3d2Rnp6OP/74o8JD3ZREuEvqY8j5Ks+Qa9ypUydYW1vL8qSkpCAhIYFBGiIt2L4av33VpyrHLi82Nha2trZqwZOkpCTs27dPbagzQ929exfXrl2Trs2MGTNw+vRpxMXFST9Aca/JVatWVeoYRE8ytq0137aWlKHrvGtz5swZ9O7dG+PGjcPHH3+sNZ+lpSU8PT1hY2ODNWvWICQkBA0bNqx0fX18fODh4YHExERZ+vnz5+Ht7V3pcomeVGxbTdO2Gqvc8vet0dHRsnvL+fPnw9HREXFxcXjmmWc0lmHINWbbSlQxbFvNo23Ny8vDuXPnZEESTQy9b62Iyl7jM2fOoKCgQG+dzY6gSnvttdeEs7Oz2L9/v0hJSZF+cnJypDxRUVHC2dlZbNy4UcTHx4sxY8YId3d3kZmZKeVJSUkRsbGxYsWKFQKAOHjwoIiNjRV3794VQghx5MgR8fnnn4vY2Fhx+fJlsW7dOuHh4SGGDBmis373798XjRo1EmPGjBHx8fFi48aNwsnJSSxcuFDKs2rVKmFlZSWWLl0qLl26JA4fPiyCgoJE586ddZa9du1aYW1tLVauXCnOnj0r3n77beHg4CCSk5OFEEI8ePBAzJw5U0RHR4vk5GRx8uRJ8fLLLwulUikSEhK0lvvnn38KS0tLERUVJc6dOyeioqKElZWViImJkfLs2LFDbN++XVy+fFns3LlT+Pv7i86dO4v8/Hwpz5dffin69OkjrW/dulV8//33Ij4+XiQlJYmtW7eKdu3aiW7dulXofF2/fl34+vqKo0ePSmmGXONJkyYJLy8vsXv3bnHq1CnRp08f4e/vLwoLC3WeZ6Laiu2r8dvXvLw8ERsbK2JjY4W7u7uYPn26iI2NFRcuXDD42EKot6+bN28Wy5cvF/Hx8eLixYtixYoVwsnJSUyZMkWtDrNnzxYeHh4a277y7WtWVpaYNm2aOHLkiEhKShL79u0TISEhwtPTU3aNywMgNm3apP0EE9VibFtN07Yact7Lt60JCQnC1dVVvPDCC7J90tLSpDy3b98W33zzjTh37pyIjY0VU6ZMEba2trL7VE33rnfv3hWxsbFi69atAoBYu3atiI2NFSkpKVKeRYsWCScnJ7F+/Xpx4cIFMXv2bGFraysuXryo8zwT1UZsW03Tts6cOVMcPHhQJCUlidOnT4tZs2YJCwsLsXPnTilPVe5by54bZ2dnWVplnwuwbSUyHNtW07St06ZNE/v37xeXL18WMTExYtCgQcLR0VHnMwFD7luFEOLMmTMiNjZWDB48WPTq1UuqS4nKtK0XL14UH3zwgTh+/Lj0vLd169YiMDDwsXvmyiBNFQDQ+LNq1Sopj0qlEnPnzhVubm5CqVSKnj17ivj4eFk5c+fO1VnOyZMnRZcuXYSzs7OwtbUVvr6+Yu7cuSI7O1tvHU+fPi169OghlEqlcHNzE/PmzRMqlUqW54svvhBt27YVdnZ2wt3dXbzwwgvi+vXresv++uuvhbe3t7CxsREdO3YUBw4ckLY9fPhQPPPMM8LDw0PY2NgId3d3MWTIEHHs2DG95a5fv174+voKa2tr0bp1a7FhwwbZ9nXr1olmzZoJGxsb4ebmJt544w1x//59WZ65c+cKb29vaX3v3r0iJCREOoctW7YU//rXv0R6enqFzldSUpIAIPbt2yelGXKNHz58KCZPnizq168v7OzsxKBBg8TVq1f1ngui2ortq/Hb15L2q/xPaGiowccWQr193b59uwgICBB16tQR9vb2ws/PTyxevFgUFBTI9isqKhJeXl5i1qxZOutX0r7m5OSI/v37C1dXV2FtbS2aNGkixo0bp7ftZJCGSDu2raZpWw057+XbVm3nuGye27dvi+DgYOHg4CDs7e1F3759ZS82la1f2XvXVatWaSx77ty5sn0jIyOFl5eXsLe3FyEhIeLQoUN6zzFRbcS21TRt6z/+8Q/puK6urqJv376yAI0Qlb9vLUtTkKayzwWEYNtKZCi2raZpW0eNGiXc3d2FtbW18PDwEMOHDxdnzpyRlVOZ+1YhhPD29taYr3z9KtK2Xr16VfTs2VPUr19f2NjYiObNm4spU6ZIQbjHiUKIR2M+ERERERERERERERERUY3hnDREREREREREREREREQmwCANERERERERERERERGRCTBIQ0REREREREREREREZAIM0hAREREREREREREREZkAgzREREREREREREREREQmwCANERERERERERERERGRCTBIQ0REREREREREREREZAIM0hAREREREREREREREZkAgzREREREREREREREREQmwCANERERERERERERERGRCTBIQ0REREREREREREREZAL/D19gc0Udqpw+AAAAAElFTkSuQmCC\n"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"\n",
"plt.style.use('default')\n",
"\n",
"data_trading_hour['Close'].plot(figsize=(20, 5)) # 作出收盘价走势\n",
"ax = plt.gca() # 获取坐标轴对象\n",
"ax.ticklabel_format(axis='y', style='plain') # 设置y轴数字格式"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 秒级收盘价变化率"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"对于实时量化交易,最重要的是每秒的变化率。可用 `diff` 函数得到相邻时间点股价的变化量。"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"ExecuteTime": {
"end_time": "2023-07-13T09:04:55.817177600Z",
"start_time": "2023-07-13T09:04:55.476979300Z"
}
},
"outputs": [
{
"data": {
"text/plain": "<Axes: >"
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"text/plain": "<Figure size 2000x500 with 1 Axes>",
"image/png": 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},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# 计算股价每秒的变化率\n",
"change_rate = data_trading_hour['Close'].diff() / data_trading_hour['Close']\n",
"change_rate.plot(figsize=(20, 5)) # 可视化变化率"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"可用 `shift` 函数对时间序列进行错位,并通过 `corr` 函数计算两个时间序列间的相关系数。\n",
"\n",
"绝对值较大的相关系数表示前后时间中股价变化的相关程度较高;绝对值几乎为 0 则表示前后时间中股价变化的线性相关程度低。\n",
"\n",
"下面计算股价变化率的自相关系数。"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"ExecuteTime": {
"end_time": "2023-07-13T09:04:55.977125400Z",
"start_time": "2023-07-13T09:04:55.759709800Z"
}
},
"outputs": [
{
"data": {
"text/plain": "-0.16729700365714806"
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"change_rate.shift(1).corr(change_rate) # 股价变化率的1阶自相关系数"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"ExecuteTime": {
"end_time": "2023-07-13T09:04:56.134340500Z",
"start_time": "2023-07-13T09:04:55.981113700Z"
}
},
"outputs": [
{
"data": {
"text/plain": "-0.03420751642049764"
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"change_rate.shift(2).corr(change_rate) # 股价变化率的2阶自相关系数"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"下面作出股价变化率的自相关系数图。"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"ExecuteTime": {
"end_time": "2023-07-13T09:04:56.460084300Z",
"start_time": "2023-07-13T09:04:56.137823600Z"
}
},
"outputs": [
{
"data": {
"text/plain": "<Figure size 640x480 with 1 Axes>",
"image/png": 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\n"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.acorr(change_rate[1:]) # 从1开始,因为0处的变化率为NaN\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"从上图可知,苹果公司当天股价变化率的自相关性随着时间错位的增加而递减。\n",
"\n",
"前一秒股价变化率和后一秒股价变化率之间呈负相关关系,这说明在短期股票交易中,股价变化具有均值回归的模式。在均值回归模式中,若股价出现大幅上涨或下跌,则在后面的短时间内,可能会出现反向的股价波动,以减弱前期的变化。"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 股价波动预测"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"首先生成训练集和测试集。"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"ExecuteTime": {
"end_time": "2023-07-13T09:04:56.505246700Z",
"start_time": "2023-07-13T09:04:56.462524300Z"
}
},
"outputs": [],
"source": [
"import numpy as np\n",
"\n",
"data = pd.read_csv('aapl-trading-hour.csv', index_col=0) # 导入数据\n",
"\n",
"y = change_rate # 训练标签为股价变化率\n",
"y[np.isnan(y)] = 0 # 将NaN令为0\n",
"\n",
"n_total = data.shape[0] # 获取数据数\n",
"n_train = int(np.ceil(n_total * 0.7)) # 计算训练数据数\n",
"\n",
"data_train = data[:n_train] # 训练数据\n",
"data_test = data[n_train:] # 测试数据\n",
"\n",
"y_train = y[10:n_train] # 训练标签\n",
"y_test = y[(n_train + 10):] # 测试标签"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"以全天前 70% 的数据作为训练集,后面的数据作为测试集。\n",
"\n",
"下面创建预测股价变化率所需的一些转换器。"
]
},
{
"cell_type": "code",
"execution_count": 8,
"outputs": [],
"source": [
"from sklearn.base import BaseEstimator, TransformerMixin\n",
"\n",
"\n",
"def embed_time_series(x, k):\n",
" n = len(x)\n",
" output_x = list(map(lambda i: list(x[i:(i + k)]), range(0, n - k)))\n",
" return np.array(output_x)\n",
"\n",
"\n",
"class TimeSeriesEmbedder(BaseEstimator, TransformerMixin):\n",
" def __init__(self, k):\n",
" self.k = k\n",
"\n",
" def fit(self, X, y=None):\n",
" return self\n",
"\n",
" def transform(self, X, y=None):\n",
" return embed_time_series(X, self.k)\n",
"\n",
"\n",
"class ColumnExtractor(BaseEstimator, TransformerMixin):\n",
" def __init__(self, column_name):\n",
" self.column_name = column_name\n",
"\n",
" def fit(self, X, y=None):\n",
" return self\n",
"\n",
" def transform(self, X, y=None):\n",
" return X[self.column_name]\n",
"\n",
"\n",
"class TimeSeriesDiff(BaseEstimator, TransformerMixin):\n",
" def __init__(self, k=1):\n",
" self.k = k\n",
"\n",
" def fit(self, X, y=None):\n",
" return self\n",
"\n",
" def transform(self, X, y=None):\n",
" return X.diff(self.k) / X.shift(self.k)"
],
"metadata": {
"collapsed": false,
"ExecuteTime": {
"end_time": "2023-07-13T09:04:57.462724700Z",
"start_time": "2023-07-13T09:04:56.505246700Z"
}
}
},
{
"cell_type": "markdown",
"source": [
"下面创建一个管道,并预测股价变化率。"
],
"metadata": {
"collapsed": false
}
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"ExecuteTime": {
"end_time": "2023-07-13T09:04:58.743190600Z",
"start_time": "2023-07-13T09:04:57.467374100Z"
}
},
"outputs": [
{
"data": {
"text/plain": "<Figure size 2000x500 with 1 Axes>",
"image/png": 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\n"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from sklearn.pipeline import make_pipeline\n",
"from sklearn.impute import SimpleImputer\n",
"from sklearn.linear_model import LinearRegression\n",
"\n",
"pipe_close = make_pipeline(ColumnExtractor('Close'),\n",
" TimeSeriesDiff(),\n",
" TimeSeriesEmbedder(10),\n",
" SimpleImputer(),\n",
" LinearRegression())\n",
"\n",
"pipe_close.fit(data_train, y_train) # 拟合数据\n",
"y_pred = pipe_close.predict(data_test) # 进行预测\n",
"\n",
"y_pred = pd.Series(y_pred, index=y_test.index)\n",
"y_test.plot(style='r', figsize=(20, 5), alpha=0.5, label='real')\n",
"y_pred.plot(style='b', figsize=(20, 5), alpha=1.0, label='predict')\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"source": [
"可用 $R^2$ 来判断预测结果对实际变化的解释情况。"
],
"metadata": {
"collapsed": false
}
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"ExecuteTime": {
"end_time": "2023-07-13T09:04:58.763380300Z",
"start_time": "2023-07-13T09:04:58.744829Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.033697575264809876\n"
]
}
],
"source": [
"from sklearn.metrics import r2_score\n",
"\n",
"print(r2_score(y_test, y_pred))"
]
},
{
"cell_type": "markdown",
"source": [
"可见在波动变化中,模型只解释了 3% 的变化。\n",
"\n",
"在高频交易中,每一笔的收益常常很小,但只要长期交易,积少成多,就会有显著的超额收益。\n",
"\n",
"下面计算每笔交易的理论收益 `cc` 和累计收益 `cumulative_return`。"
],
"metadata": {
"collapsed": false
}
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"ExecuteTime": {
"end_time": "2023-07-13T09:04:59.053651300Z",
"start_time": "2023-07-13T09:04:58.767692900Z"
}
},
"outputs": [
{
"data": {
"text/plain": "<Figure size 2000x500 with 1 Axes>",
"image/png": 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\n"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"cc = np.sign(y_pred) * y_test\n",
"cumulative_return = (cc + 1).cumprod()\n",
"cumulative_return.plot(figsize=(20, 5))\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 12,
"outputs": [
{
"data": {
"text/plain": "1.0753759528755507"
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"cumulative_return.iloc[-1]"
],
"metadata": {
"collapsed": false,
"ExecuteTime": {
"end_time": "2023-07-13T09:04:59.144529600Z",
"start_time": "2023-07-13T09:04:59.054933500Z"
}
}
},
{
"cell_type": "markdown",
"source": [
"可见,采用该策略可能的累计收益是很可观的,在当日实现了 7.5% 的理论收益。"
],
"metadata": {
"collapsed": false
}
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.10.9"
},
"toc": {
"base_numbering": 1,
"nav_menu": {},
"number_sections": true,
"sideBar": true,
"skip_h1_title": false,
"title_cell": "Table of Contents",
"title_sidebar": "Contents",
"toc_cell": false,
"toc_position": {},
"toc_section_display": true,
"toc_window_display": false
},
"varInspector": {
"cols": {
"lenName": 16,
"lenType": 16,
"lenVar": 40
},
"kernels_config": {
"python": {
"delete_cmd_postfix": "",
"delete_cmd_prefix": "del ",
"library": "var_list.py",
"varRefreshCmd": "print(var_dic_list())"
},
"r": {
"delete_cmd_postfix": ") ",
"delete_cmd_prefix": "rm(",
"library": "var_list.r",
"varRefreshCmd": "cat(var_dic_list()) "
}
},
"types_to_exclude": [
"module",
"function",
"builtin_function_or_method",
"instance",
"_Feature"
],
"window_display": false
}
},
"nbformat": 4,
"nbformat_minor": 1
}