D-组合优化/MLT_TSMOM/mlt_tsmom.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "## 传统动量策略\n",
    "$$r^{TSMOM,i}_{t,t+1}=sgn(r^{i}_{t-252,t})\\frac{\\sigma_{tgt}}{\\sigma^{i}_{t}}r^{i}_{t,t+1} \\tag{1}$$\n",
    "$$sgn(x):=\\begin{cases}1\\ if\\ x>0,\\\\\n",
    "                       0\\ if\\ x=0, \\\\\n",
    "                      -1\\ if\\ x<0\n",
    "            \\end{cases} \\tag{2}$$\n",
    "\n",
    "其中:\n",
    "$r^{i}_{t-252,t}$为资产i,t时刻过去一年的收益率;$r^{i}_{t,t+1}$为资产i,t时刻的收益率;$\\sigma_{tgt}$目标年化波动率;$\\sigma^{i}_{t}$资产i的历史波动率,计算窗口期为60日,使用指数衰减权重计算。\n",
    "\n",
    "最终资产组合可以表达为:\n",
    "$$r^{TSMOM}_{t,t+1}=\\frac{1}{S_t}\\sum^{S_t}_{i=1}r^{TSMOM,i}_{t,t+1} \\tag{3}$$\n",
    "\n",
    "其中:$S_t$为组合在t时刻的标的数量\n",
    "\n",
    "## 模型架构\n",
    "[![avatar](https://github.com/hugo2046/QuantsPlaybook/blob/04bb714d9f4af2d6489407b8564926685f69a24b/D-%E7%BB%84%E5%90%88%E4%BC%98%E5%8C%96/MLT_TSMOM/img/mtl%20model.png)](https://github.com/hugo2046/QuantsPlaybook/blob/78ecc7a236e164ee297317ce85a773a0cfcaf190/D-%E7%BB%84%E5%90%88%E4%BC%98%E5%8C%96/MLT_TSMOM/img/mtl%20model.png)\n",
    "\n",
    "## 时序动量组合\n",
    "\n",
    "从上文的基于*目标波动率*的传统时序动量策略可以看出,确定每只股票权重有两个因素:动量的方向和股票的波动率。在主要任务钟,我们直接预测股票权重,那么组合的收益率就由上面的上式变为以下等式:\n",
    "$$r^{\\rho}_{t,t+1}=\\frac{\\sigma_{tgt}}{S_t}\\sum^{S_t}_{i=1}\\omega^{i}_{t-1,t}r^{i}_{t,t+1} \\tag{4}$$\n",
    "\n",
    "为了控制交易换手,加入惩罚项:\n",
    "\n",
    "$$r^{\\rho}_{t,t+1}=\\frac{\\sigma_{tgt}}{S_t}\\sum^{S_t}_{i=1}\\omega^{i}_{t-1,t}r^{i}_{t,t+1}-\\tau|\\omega^{i}_{t-1,t}-\\omega^{i}_{t-2,t-1}| \\tag{5}$$\n",
    "\n",
    "其中:$\\tau$为交易手续费,默认设置为3bps,$|\\omega^{i}_{t-1,t}-\\omega^{i}_{t-2,t-1}|$为资产组合S在t时刻到t+1时刻的权重变化\n",
    "\n",
    "目标函数(损失函数):\n",
    "$$L_{SharpeRatio}=-\\frac{\\mathbb{E}[r^{\\rho}]}{\\sigma_{r^{\\rho}}} \\tag{6}$$\n",
    "\n",
    "\n",
    "## 特征生成\n",
    "\n",
    "1. Close-to-close volatility estimator,$\\sigma_{ctc}$\n",
    "2. Parkinson volatility estimator, $\\sigma_{\\rho}$ (Parkinson, 1980)\n",
    "3. Garman-Klass volatility estimator, $\\sigma_{gk}$ (Garman & Klass, 1980)\n",
    "4. Rogers-Satchell volatility estimator, $\\sigma_{rs}$ (Rogers & Satchell, 1991)\n",
    "5. Yang-Zhang volatility estimator, $\\sigma_{yz}$ (Yang & Zhang, 2000)\n",
    "\n",
    "### 公式\n",
    "\n",
    "公式参考:\n",
    "> Exploring the predictability of range-based volatility estimators using RNNs\n",
    "\n",
    "[volatility-trading](https://github.com/jasonstrimpel/volatility-trading/tree/master/volatility/models)\n",
    "\n",
    "Close-to-close volatility:$\\sqrt{\\frac{1}{N-1}\\sum^{T}_{i=1}(ln(\\frac{c_i}{c_{i-1}}-\\overline{\\frac{c_t}{c_{t-1}}})^2)}$\n",
    "\n",
    "Parkinson volatility:$\\sqrt{\\frac{1}{4Tln2}\\sum^{T}_{i=1}(ln\\frac{h_{i}}{l_{i}})^2}$\n",
    "\n",
    "Garman-Klass Volatility:$\\sqrt{\\frac{1}{T}\\sum^{T}_{i=1}(0.5*ln(\\frac{h_{i}}{l_{i}})^2-(2ln(2)-1)ln(\\frac{c_i}{o_{i}})^2)}$\n",
    "\n",
    "Rogers-Satchell Volatility:$\\sqrt{\\frac{1}{T}\\sum^{T}_{i=1}(ln(\\frac{h_i}{o_i})(ln(\\frac{h_i}{o_i})-ln(\\frac{c_i}{o_i}))+ln(\\frac{l_i}{o_i})(ln(\\frac{l_i}{o_i})-ln(\\frac{c_i}{o_i}))}$\n",
    "\n",
    "Yang-Zhang volatility:\n",
    "\n",
    "$\\sqrt{\\frac{1}{N-1}\\sum^{T}_{i=1}(ln(\\frac{o_i}{c_{i-1}})-\\overline{ln(\\frac{o_i}{c_{i-1}})})^2+\\frac{k}{N-1}\\sum^{T}_{i=1}(ln(\\frac{c_i}{o_{i-1}})-\\overline{ln(\\frac{c_i}{o_{i-1}})})^2+(1-k)V_{RS}}$\n",
    "\n",
    "其中:\n",
    "$k=\\frac{0.34}{1.34+\\frac{N+1}{N-1}}$\n",
    "\n",
    "$V_{RS}=\\frac{1}{N}\\sum^{N}_{i=1}(ln(\\frac{h_i}{o_i})(ln(\\frac{h_i}{o_i})-ln(\\frac{c_i}{o_i}))+ln(\\frac{l_i}{o_i})(ln(\\frac{l_i}{o_i})-ln(\\frac{c_i}{o_i})))$\n",
    "\n",
    "$o_{i},c_{i},h_{i},l_{i}$分别为i时刻的OHLC数据\n",
    "\n",
    "特征部分的损失函数就是最小化已实现波动率与预测波动率之间的负相关系数:\n",
    "$$L_{corr(y,\\hat{y})}=-\\frac{S_{y,\\hat{y}}}{S_{y}*S_{\\hat{y}}} \\tag{7}$$\n",
    "\n",
    "整体任务的损失函数\n",
    "\n",
    "$$L_{total}=-\\mu\\frac{\\mathbb{E}[r^{\\rho}]}{\\sigma_{r^{\\rho}}}+\\lambda\\sum_{h \\in H}-\\frac{S_{y_{h},\\hat{y_{h}}}}{S_{y_{h}}\\cdot S_{\\hat{y_h}}}$$\n",
    "\n",
    "其中$\\mu$和$\\lambda$为权重,取值在[0,1]之间,$\\mu+\\lambda=1$,这里进行简单处理$\\mu=0.5,\\lambda=0.5$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from typing import Dict\n",
    "\n",
    "import empyrical as ep\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "from src.core import MTL_TSMOM\n",
    "from src.general import get_backtest_metrics\n",
    "from src.data_processor import DataProcessor\n",
    "\n",
    "plt.rcParams[\"font.sans-serif\"] = [\"simhei\"]  # 解决中文乱码\n",
    "plt.rcParams[\"axes.unicode_minus\"] = False"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 数据读取"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "这里我们使用的标的为:黄金ETF(518880.SH)、纳指ETF(513100.SH)、创业板ETF(159915.SZ)、沪深300ETF(510300.SH),时间范围2014-01-01至2023-08-02,价格数据后复权;\n",
    "测试时未来收益率我们使用的Open-to-Open(OTO)因为是T日预测的权重用于T+1,OTO计算是$ln(Open_{t+2}/Open_{t+1})$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "TimeSeriesSplit(gap=0, max_train_size=None, n_splits=924, test_size=1)\n"
     ]
    }
   ],
   "source": [
    "test_size: int = 1  # 测试集\n",
    "basic_rate: float = 0.6  # 训练集占比\n",
    "standardize_window: int = 21  # 标准化窗口\n",
    "vol_forward_window: int = 21  # 预测未来波动率的窗口\n",
    "\n",
    "dataset = DataProcessor()\n",
    "dataset.generate(\n",
    "    standardize_window=standardize_window,\n",
    "    vol_forward_window=vol_forward_window,\n",
    "    vol_method=\"CTC\",  # vr波动使用CTC计算\n",
    "    return_method=\"OTO\",  # return使用OTO计算\n",
    ")\n",
    "dataset.build_dataset(test_size=test_size, valid_ratio=0.2, base_ratio=basic_rate)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "时间序列长度2311,起始长度60.0%,基础长度为1386,n_splits为924.0\n"
     ]
    }
   ],
   "source": [
    "total_szie: int = dataset.frame.index.levels[1].size\n",
    "\n",
    "print(\n",
    "    f\"时间序列长度{total_szie},起始长度{basic_rate*100}%,基础长度为{int(total_szie*basic_rate)},n_splits为{(total_szie*(1-basic_rate))//test_size}\"\n",
    ")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1000x1000 with 16 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dataset.frame['features_fields'].dropna().hist(figsize=(10, 10));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x1000 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dataset.frame['auxiliary_fields'].dropna().hist(figsize=(10, 10));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "train: 100%|██████████| 924/924 [17:01<00:00,  1.11s/it]\n"
     ]
    }
   ],
   "source": [
    "lr: float = 0.001\n",
    "params: Dict = dict(\n",
    "    dataset=dataset,\n",
    "    input_size=15,  # 特征维度\n",
    "    lstm_hidden_size=64,\n",
    "    mlp_hidden_size=128,\n",
    "    lstm_layers=2,\n",
    "    mlp_layers=3,\n",
    "    lstm_dropout=0.2,\n",
    "    mlp_dropout=0.05,\n",
    "    max_grad_norm=0.1,\n",
    "    num_epochs=200,\n",
    "    transcation_cost=0.0003,  # 交易成本\n",
    "    target_vol=1,  # 目标波动率\n",
    "    early_stopping=50,\n",
    "    optimizer_name=\"Adam\",  # 优化器\n",
    "    opt_kwargs=dict(lr=lr),  # 优化器参数\n",
    "    verbose=False,\n",
    ")\n",
    "# 预测的权重及未来的OTO收益\n",
    "mtl_tsmom = MTL_TSMOM(**params)\n",
    "mtl_tsmom.fit()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[]"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1600x85 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 检查是否有数据缺失\n",
    "loss_score_frame: pd.DataFrame = mtl_tsmom.plot_pred_nan_num()\n",
    "loss_score_frame.plot(title=\"loss_score\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: title={'center': 'Loss Score'}>"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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fAR76RWyP3AL8NgCo19l67JnV7rdfLfa7ckDb/U8uAU78J77ueN39x9fL7AfE95l3W7et+xy44w0gONSzc07tYnt7yzjrzylXbfflZIrp7hXqe/ZYRD7GkeZA4yxgTk8Qa5sP/QVkJvuvTb6QdNnoFhBRcZCqcbTHXvw568/M8kqF3Y0LwLovRH3cQHNwnvh+dq34bjaLGXg/tbe91pEk4Jc7gYm3AkvfUj/f5xVsb59cCmz6Rvx8ZL51+978ab0Xttkev/pj90ZBs7zMOZOdZv05cjOw+VvbEXFJAk6tABLOi84EX7h6WH3fxLaen9c+6e3+360/23dQ/NgO+KE1EL3PdvuZtcC+WZ63gUgnDJo1MpslnItNxdnrqcY1YuNY4J/ngIUviB7TQLdlvKjHl57guG/3z/5vDxEVP4f+8Ox+k9pZf5Zf1BIFAnlm4sSLwB+Pis/c9ATxteErEWRZzLxbjPJN7SKm3QYUuwBVyrP+LF8Dm5UCXN4n1ikfmO38lBk3rD9fO6K8Ttmkcgm8fSLwWXnbZRlrPgGmdPb9e8Fv9wLrRwPH/gWyUoHJdwBf1xfTxifeKjoTDs93fo60ePeC/rR450m7ki4Cv90HxClMvU6IBKZ0AQ7rsHY7OT9x2vQ7bbfPfQhY8qZ61Rl/ZuHOyRBTwuX/X1RsMGjWKD0nD3d9twm9xm8yrhG7p1l75gpDned1nwGXdolp5/ayCvlIOVFxlpEIXNwZ2CVDLuzwfIQkJ9P2ttrFNZGvSZIIVs6uFcHuzz2B+c8AX9UATq8S62EntBRlHdd9Jj5v5z0ObPoa+Kmj9TzJ+bO7UmMcHyMlBpj9IHBiqfY2+ZRJ/mCyH80OR6rKzbY7pcJr2NXrWp5xf9sPQMxRkSzMU+48bzcigYN/ANePAZmJtvu2TgBOrxZJt2b0A+JkCbdOrRRJ3pa8of2x7Mt2KYncJNa//9oHSL5i3b7kTSDmCPDvc9ofTy4jUfuxJ5YAxxcDK0fYbv/rSW33z04TU/Lzcl0fa+/GBWDRK+J18vezwNyH3T+HP6XFiUG2yM2iE23xa+Izm7zCKwGNxFu4BK9S5Bd1cWeBBUOAa0ddH7t3hnij2zYR+PMJ8WZERIXDlM7AjL5iNCRQXNwlyvNZLuh+uxdIOGd7jDwJjTObikilAir8NnwpgpU5D4nbV/YDxxeJn/94RIy82ruUf3Gcp/H/fdUI4Nw64K8nXB+bkwlMuUNchOvFbBfERG22/mwTaLpx/WUfEMuz6F/YLr5ref9a8ymw+xfr7XWfaW+DXMYNYHwzYNm72u9jzlHefv0Y8MfDIunWxR3A/Kes+yyJzOTToF3ZNVX7sZd2WYPW1OsimLY4vlj7eSzc6QjZ9DUw/2lg52Tb7Sc1dvb88ahYw+5ucrPsNOCHVmKZzsX8/53oPe6dQ0/HF4uZD/ZJ7eRWjgCOLBCfgzP6iZkZM/o6P29mklgGYN/hRAUYNGsUBOCvEl9gb9jLRjfFKv6cbY+f0eYOAo4tFL2zWnoPTywR9VNPLhVvRp70/hGR/1mm0Z1YYmw75Gb0ERfB42/JTxSkcMGpVO8+S2HJzdbvbW8nXdKnjUTu2vyt8/2JF5zv/+Uu1zlErh5S37flO2CTrA2nVwLXj7ueHq2FJInX5Kavrdvycq0JqQDb9cbujNSe36i+z5Loyj5YV7JtArBcQ6B7/YTy9nFNRQfDyhFAyhVgzy+Oxyj9XpJkXePtSvIVEUD9cifcHti5etjaCaPV8UUieB1nV6ps/tPunQcQv6ck+WcUNGqL+L7lO/G62K3wt1Dynxuj9hYXd4rz+2JWxvynxcyHU8vUj5G/L8Sd0nbe2Q+ITpeNX3nXviKM2bM1MmUlokOQF/U+feHH/KmHo7xMQqGXG/kJKnIzga/ruX9/k8n1MUQUOI4tBKrcAvR439h22Pe4b/tB+TjJnH+RZhZrHM9tAGYPFBlr+4wWxzgLIIgCzb/PO99/eS/w+33Oj1GqpwuIDqV1n4uf2w8DSlV0v31qcrOAad2BWLtg0z6j8rK3xWMD7gUgrqYLe5NMNSUGKFvNdtvkjsrHpsZ41sGw4Uvtx2YmAl/VBHIzXB8rSWL0MTQcGDwf+Lm7+20DPBtVVvJDayA7xfvz5GYDISXU98s7NfKyxOvi8l7xf3iH3ayJrBQxY7JOB5GF/ejf7rfHMqobWgq4VcMMDq0OyJJSOqt57ey1knAeKF/PcZ2/ZdbKoT+BXqPEz5f2iLwgd36s7+u/kOJIMxEReS4QeqWX/c/29tpPlY9b8ibw+/0imU5uNrD6I7F9+4/WWTs7fvK8HekJzqfMGSE9Qfu0dNKPOU8sWfJmpGmth1OB7akFxa7IZ2vk5U/ZzElXPtZdxxc7BsyA8nTdxa8CP/cQHfJ6GVvH8/ueW+84G8VdkVucj4a7S0vADIhZM1FbRH6c7FT3pkf7gh4BMwCMrgKcXSd+TrwkknWZZQnlLu1Svt/qkY7bfu0LzOwH7JvhfbsW67j0MHKL9+fbPkkklPv7WScHyQawfu0lllMuedO7xy0iGDRrFBTIo6B/PArciDK6FUREtlZ/DHzTUPTc+5LWciSnV4o1eIkXxSiDvKfeMlKkFuRsnQCc3wTMG2xbjsriygGRhOkPDQli9s0SWYydjRToIeWaaNPEW337OORo8WsiA7s7CZnk0uKBreP1bZMWzqas5mYBi2RL1OwT5rlDbYRcKTP0gTni9aXX6Ka3TEHA2lGe339mf7G29vf7Rcbz/3RcH+6S7Fo2kBM5OiuBpWbxq6Lzc0ILERTKR/i1dhya88SacQDY6cZabz1tnSAykttXnvltgO1tS4dHyjXbDgKxU/nclk4Cp1PyFe574j8nxxcfDJo1CuSYGadXijdhhxdNIaN0IUpEhY8kiZHc7ROB9HhgTG39SrXEnRUjCd6SzEB6nPV2ZpJ4D1Ira7L2UzHN9dQysTTm0m7b/Xumi+9a1iFayqd8d5NnbdfK0pZkF2taSX+WUmfuJGSSu7zX9TG+4Gz9rn0OFa2zTNyZfbFhtPq+tACpMe1tuaELW60/e5pYTIs/nxDZ1mNla1r3zbT+HMiDLdO6Apf322YGdyUjEVj4kvX2he1iOvO2icCK99Tvl3JNBKh5ubaj//EKJbbkfNHpIEnisybmiPj8dObwfJEA87ubRAeMXuyXSFABBs0amQK95EhyNDDnQeMeX483D7XpM+SenAwgTyXrJtGpFcCeX313/ku7RY3T8Tfbbv+qpriAs5eXK0pj7NUwFS4jUYzeTWjhfTtPrXDc9mNb5SmjSn7tLbLHWshH3W64SM4kJ0liqufp1dZtZrO4kDu53PNR+rQ4MfJChdMfjxj32FpH5bb94DqoWfwq8F1T8T/u7ZRmb++vl5UG53DQ6uRSkW39p9vF7cRLtpmj3Vk3bYRfeor3e61yM2yzeSddFtOZ13zs/H6nlosZOZM7OGbmnv+M+v2+u8maiV3upIclYbPTgX+GWW/vmKx+LCA61nZNET9bkpyRTwV4JBg4TGFllXfc9QnwfhTw7Cqgdnu/tsnB+Y3GjTbrstYogKcKGeHgH8APbWx7iV3JTgO+rG5NEkdkb95jIrlOzDHfnN9ysZ8e77jvyn5R/kLu6D+iNMbS/zkeH3MMmDVAZCJNvW7NemuReEnUrvXEjkme3U/u196ibmfSZdtkMe5kkT2/UUz1lE/rnj1QXJD9+bgYpfeE/drshEgx8nRpt+hU++NR4N8XgJjjnp2f9Bd3Flj+nuts1742uqqo9yt39B/H2RWA66DmwBwgLVb8j68dBVw/CSx7R6+WkjvsS4qdXql8XFEhH9F3xvLZE3/WcaaQs2nMqTHiM2nuI+JzyBIs//m4200FIDoxjv5jva2lZNyxhcrb3SmJpVS5RmkgbPsk67TxI3+LDrFiNkDDoFmjoCCV+dmSBIRXAOp2BJ5bC9wzzr8Nsze1i/VnvaZDupKTCXx3s+vjXAnk9TX+lpcj1o7diAT+e137/SyZfxMv+qZdrkRtA+JcTGki9+RmifIYKz/07jzpCbbrxCxTLdPixMWsXssjXH2IXtxhezvLSRbbOYNED/qMvuJC+7oswJMk13Unfe1GlKhvu/Qt2+1XDwLft7CO6sjf2+zX6slLg+TkJ/ORj5a4I/mKuJjJy3FcD/v3UDHy9GtvcZF4eiVw+C9gSifv1qaSdntniORze2colz/7tRewexrwfTP/t83evEdtb6/6EFj4gvfnndzBupSB/IuVAXzjzCrx3dNg2cL+sxEQgXjSZeV67Gq0TruP3CI+j8bUBhbaldPdPtF2JhUg1kPHHBEl4v4ZJjrE1JafZOuUMDDAMGjWSHV6tn2gV6O17xvjzPXjIpHHr33FdEj59I6UGJF0wvJC0KuAefQeUfLAawyaC8h7G7WO4p/b4F42ztxscZ8cjVk3XYk7C8y6B5h0mz7nI2F0VTENa6ds5DA3S/yt3Ql2vrtZrBOzsATJi14W0x5/7mG7z90PPUkS7clWqHtsT57gRJ4wwn6qZ4psDaV9IhJJCpy1uqkxjtuSLolyPRvGiGRoltHD2QNtj5OXEBlTR3lqbHa6eJ1u/xGYcTcQuVm5HT91FBczX9Vy3HflgOwx7UrgaPmbFVe5WUDUVu9GVGbeI9YeLv2f+Bsu/Z9y9lpv18rqbZqH5Ygs9PpsISos1EqZHZgD7Jyifr+MG7BJ0mbx5+OiE+2XO7W3QeuA2W8DxDVBboY1B4PFmk/UlwbJl3elxTnu3/wt8FUNx9kqRQCDZq3UMoHd3N/2tn0Qfa/dQv7X9+vXJjXL3wUu5ReKXzXCun3eYyLpxJ9PiB6mL6sDa1RKs2iVleo45cdTHGm2crWO8cjfYjqQZYptdpq4GN/0tfbHWDVC3EeeDVWSHJO9KDm2CDixxHo7Jca9tUfknRXvicQf7mRdtZ/qtfJ9sXb2TP5aWsuIb/Q+Mb3fsg5Oi3E3iXXMWv//bJLfyN5bJ7VzzBiqJl3hw9oozkZwNo0FMhLE+++oCMdp6/JyQOYcYLzCKONXNYAJrcQo5cXtos6qkqz80Ust0/rk7Jf1ZCQGdpIgf1r8KjCrv5jp4GnprgvbgBl9bLdpSRhntEQ31ubLJUUDS94SnfRExckVhWv8xIvifWTlB2KZjL29M4Cv63uf/C8lRnym5+k0IKZGXoru3Hpg/WjbQbj1+cn8XNWQL4QYNHurTFXb2/IR6b5fAe2eAZo/YN1WqZF/2qXE8mKO3i16mKQ8YNsE7865faLyNDOPuBE0B1otVL3Jg+arh0Qgu3eGdfTPkixiyh3A+i/FrAJ3WabIydfEbPoGGH+L84udjERgwTPAX09aRxLWf+7+45PnLCWWjizw7jxKa99P5Jd1SVLIUH3lADBJIZhOzS+dpLVEzr5ZYs2tJDmO4GmdhjauibbjAsU1lRIqGXadBGqdAb7MHJwWazuz4Ot6wA+t9clSXthZXmP7fwO+blD4q1T4gny2BCDW9O+bCWz+xpj2kKPDXn5WkDZKs1JPr7L+rJSZWimfhye+awr83N121pivXdopRpbtE6gBzpdeFVIMmr1VorTt7Vqyi9Ca+bUx+40FqrcE+n8HQ7gawd04VoyAqE35A8Q+pQuovTMdt+lFksSaxj8es/0dDs4DxtRynIqceBHY9K32kapAZl+GYnIn8caqVJ5CzwsTSwkRZ2Uw5FN/LFPHD8yxPeayH2ZUuHJmDRB72uhW6GvjWOfTRNWmVCsl+gDEmnl70U56u3/uAcS5kZjOmVUfApPaO86qWPmB+P6nTjNYiio9cwdM7SxGszfazRQwquxRoMpJE9Moo7YVyamHHlv8iu1td9Zfkn/8+5zRLSgelD4/5WXcfFm5AlDvnPWEO3Xirx7U73EDGINmb4WG294OChZTsAfPB+rdIbaVrQ68tBVob9Cb1sE/gDSFTLYWG8eI72pT/i7uFPsmtAAWvWrb0+7L0Y+Ua8DZNcDpFbZrphe9BOSki2BabsbdosZjYRuB0sLy+1um0vpbzDERhB75W0wzdeWXnsYme4neB8wdBPwky2ifmy1G1ZXW4NiLOyPWoxrdAWM/o2LjGMd1UZGbxajtxZ0i8Fk10nZ/wnnr6LEWF7Z51lZPxJ9xXMZlma58cqn/2lEYTbrN8+nCajZ+Zds5quW1UtzWrUqSyN0w71EgWaWeKZcaERVPrupuF6b3S/vBEGeOLRTXWM5ijSIgxOgGFGplqitvr9TI2GnY9ux7gd0lr598cA7Q+C6ghQ9qQttfaLjK9Jhr9+aTHC2+m1VG1YxwI0okWer0OlC5sbb7KK15kTPigmzKHcrbTyxVH1VYM8q4jqJrCv87C18Ejv0rfh7lYknBlM5iXWjcaeBRNz449PZFZcdt9jUn7Tu7dkwC+ubX39wy3vWHeCDiKJ42WSlASJi+54yXjWArTdGX2/cbsOQN4O5vgQ46ZFYuDBa+aP057TpQrobjMfs0zsBa/6WYKfTGAaBiQ33aR0SBK+aI0S3wnamdxTVTEcag2Ruvezh1rUbrQpb6324oKPkK8M9zQC2dsyQfng+0lxV2/6cQTSfKzRLBuv10/TmDxEXoyWXA8LPK97WX4yRrccJ54PwGbedZ/RHQ+nEx06DrO0CpitZ9h+crPK5dJ0R2mhhpUpuBADhPRCUZue5cIXGfJWDWwpJIyehp5pKX6yfdDZiNWMOqNFpqX+6GlMlfY3rN7LBZ9qKSABMAzq4TATMArBgO1GwD1HEjeVxhdW6d9ecNY8QaxcpNxKwzUxDQsKf2NYqWpTUTbwU+TdS9qX713S1A+2eBlo8Y3RKiwGVUOVB/KOIBM8Cg2TthZT27X907Ck/QHLkFOLXCdtu2CSJxjLdJiOxZMn5byC8IN4wBbrnXOuXdlaxUMY24VCXgoelAcKh+7VQyrolIiDbymu2UfcuoTVos8N8bwH122dSzUoGwMrbb1OreWcx+wPl+i+0/ii9AlOZ5eJZ139YJjsfbj2BvHifeBD3NoGpkCTG1bPdunydYn/MUFhNa2N5OuSamqh+Z7/r/0lObv/XNeYuDy/uAGm1E8rBl7+hzTq2lldaOsr39a2/g1T1Alab6tKMwOJ3/2Shfz2dJ0ueuwr4cIeWKyJq7YYzRLSEi8gmuaTZCzw+NboF2vw0QJU7k0mL989hBsoBl9zTRlhXv2x5z5aDyfbdNAKK2AMcXKQeIgLg4zEi03bZ/NnB+k/N2pcU5JlayZBD/5S7gmsr0m/2/idEgyzrZLd+JhGbHFlmP2TMd2DXV+eN7Qt5JE7UNuH7Mdv+pFY7T2s+s1l4jWomzEXOjHfpTvcZxUrTs54vAgqEiY7S/1zdHebG2+MIOfdrw3U3ideergJm8M+8xYPzN+vbwy7OgxjpJ+qaUJVYpgyppI/8cKMy8nR1DVNSp1XKmgMeg2Qgly9neDuKAf4HcLGDbDyLxlNJF2Z5fbG/vnaF8ntQY68+nVygfM7mTKK2Skl8uZ9c0Md349/vU23f9JPBtIzGqYiEfob1+DJjaRSQl2zXN8f7L3gG+aSASaq3LL9P03xu2+31t1j2O2+Y9JmqRysUc9X799ImlwPZJ4ueky8DKEUD8Oe/O6S5znmMnx8IXxd/h+klR27DgWDPwfXPbY4/9KzJGb/tB/7blZKpPibZfu+yOmf3ELAYqHv5+1jfnVXvvBJTfnw//5Zt2FAdH/za6BYXbgAlGt4BIm7F1GDgXUgyaA0FNhVqpRrm40zo97+Iu58f6wuiqwJpPROKpIA1TY9UCMHkZG6WLO8A6dfrMGvF9xXvqj2MJHg//Kb5f2W/dprR29+J25+f7R7Z2Oyt/lNromqhKpQq8XZf81xPA6pFiRsCfg8VI1EyFoF13sunZO34CvqjkeEhOOjC5g6htaGF2MjXV25rmSiZ3FFOiryo890FeLimY2tm7+xO5K5Bnl3iCF7aFR3h5o1tApN13N4vlNcy0X6gwaDZK9Zbie6lKBidMsjOjrxjt3PUzMKOPsW1J15C6Pk+l5MqxhdafXa1LXf6u4zq+FR9Y38xijgOflRe1rLd+bz3ms/LA5DtsS3B5Kv6c43rSQKDX/2ZmonXdX+o1fc6pJi8XODjXetudYNfV/1zMMeDSHo+ahfhz4v5yljrJm74WGaMlSXRW/T3MNouxJ25EeXd/IiW5WSKx4ZUAqMWuVV6uZxenU9jxVCi8dRSoeavRrSDSLicN+OVOYObdRreE3MB5wUZ5bJ4IwDq+Aix727r9mSW22YorNgIS/Dyddf9v/n08b+Rli4uhz8qrH2O/VleSbKcR5mZaE2ZZ7Joikus8NB2Y1k393NeP6TOtzlmGaj0knPfwjjr1ggaX0Oc8WuydYVsmTUvny4mlIgPugqHOj7OU3nr3LFCmiu2+vFwgIwEoU1X5vj/mzygJLQ00HwgMlK3/PLm08CcCoqIpN0skeGrSRyRiHK3y/62n6H3AqWVA13eBEqWs2yUJ+ONRkdjxsbnq95fLyQB+aANUawY8tdDl4TaSinCm26Kg8k3Aa7uNbgWR5y7qlH8kUOXl+D4Rrx9xpNko5esAA8aL2r33ThAjzw/9CjToBrwfBVRuCvQYAXR40dWZirfsdCDSReKuy3alwY79a1trE1AuzXNkgSjW7mzKLuA4euiJ5Mven8OVpMuua0Db0220Uqds1lrYJ67T4q8ngJ9ud0yQpuaCQpKuGX1FFnW1RHAWOWliJDzFxyPuRHrYNQ3YPlEkhLug4bWVeEmMRGfcELMynM3EGRUhvtLsOram3ykSJW75znZ7UjRwZpXoYJIvwXHmzBoxu+Xcem3HA5wyWVg878bflIj876DGzs1CgkFzIKjYEHhpK9BykLgdXgF4bQ/Q4wOgQXdj2xbo4s+I6dOu7JwikjwBYhRDKy2ZQA/+of18RsrLcn+6YaGsKeiHAH3BM47bLJ0zSv8PShfh2Wn6tonIF+QdZ646EAGxzOTPwcDX9YFfewGfV1QusSivzz17oPgef862xnG03VIImxk5Tl7nCZEiGeOpFcD8p6zbtQTDMcdFksAdP7k+lozT40PHco0UmO54w/UxVDSt/sToFuiKQXOgq3qz0S0IfKtGuD5m5QfAj5Y1T+6MImgIwDL8XIrIU5IkRjkLI3OeuPDWsn5crxrNriRfcRwhA5TXgXPkigorm0SKHr62pnUDtowHUq9bt8lfE5YkhLMG2FZEsJ9FdEPDTJkrB4CJbcSMk3mP2e5ztQTi1EpgSicxSr6qEJWG9ET3910fE8h6FPL2FyfdhgPvnAL6jze6JeRvWUnA5UKU/8IFBs2FQc+R4vvDswxtRqFnGTFxJ7nVr7180hRDGLlW3dWUZVdWvC8uvNd+qrx/9y/AwpdFUO2vjLfjbwG+behYv9n+/2vj12Lqt73zG3zXNtJHWDnXxxR18jJ/UVs9P8+6z2yDWPvOrd8HAilXFO73uXuP83MP9X2XncwySr4KzHvUvccqzNo8YXQLqLgwmYCy1YFKjY1uCRkhq+hUIWDQXBh0fw/48ArQ/AHgvklGt8Y7r+w09vEPznMMcpzxNtgLJL6oM6zV6ZXe3d9y4W6fsM1i+bvAoT+AU8uBs2u8eyx3bfra9rY8aI7cAmz8SjkTtj9qcpN3GnQDHp1jdCsCx5Zx3t1fHrTar+lX60SyrGvOybDdbgm6ky4Dfz0FRCnkGbDn7P087br6vqIotJTrYwqbUUlGt8A71VoC1VsZ9/hDlvvmvGFlxfcGTpKqUtHlz0SwPsagubAoUVp8r3eHse3Qatga4I7XHbdXvQVo/7z/22Ox6CXgyHzjHr+4OrdOv3OZzeq3tSYH0lNWqu3t1BiRbTjxokieRIVXUDBwU3+gfD2jW1J0XMzPbO9u3fNvGilvX/wKcOI/YJaG+u9n17r3mEVRl7eBoSv8t4zF357zMjnYLT6uZOHMCxuBmwwsQRQUArxuN5W2+QP6nd9kAm5ncttix1R0Qs2i85sUF5VULhwCTZ3bgd5fKO+rUN+vTaEApCXjeOp1MbU5Kdp2+7F/RXknizUf69s2d0Vttr19Ygmw+VtgQktj2kO2bvai46LjK0BQEPDWYf3aU9zN6CO+y9cua6GWj8GbDP9xZ0VyscjNro8tCkzBQK9P8zvfC3HQfJ/KjCMAqN3Ou3M/Osd3I67OvHkYCA4Bmj/o/8e2qN7CsWRi++c8O1dXlZlUvT4F+n7l2TmpcDpcdAaqGDR76s6PjHvsqs2tP1dqAlS5xbi2OGMyAWWqO24vX9f/baHAsuhl18eMayKmNk+xm13xzzDgi0qiVM1/bwA7DF6yUCgzjBdRdyp0oDw21/PRo7odvWsP+Y4kiXJS7gbNUduAPx4DblwA5j8tAubfDBxd1MJ+2nErlbXX8nXKwWGO+1+TZSMPDvG+XXqyH42y5HKx98A0oO3T2s/78g7150tN/c7Ae5HAvX5c0lQhfzaLkclfg0Lg0JliCnZ+n2otlLerjVCXKA10elXbOVzpaXcd3v0Dz85DvrX3V6NboBsGzZ6q2sy4x5Z/uLy+F3jV4HXCzgxbBXR7T4z2WC5ojZz+RIHBfoo1IBL+/H4/kJdjO+U508k6NSOTm8nt/93oFgSufl8DT/zjn8fq9CrQsKf19k39xfcHpvnn8UmbnEx9zjN3kO1tLdn1Z90DnF4B/PuCbV32aQG+3lIeWIQoBMQfXALul5XJiqjleIx8plrJCOD2F/Rrn7daPGR7u/t7wK1POh6nJTlfUKj4Hl4BqNYMaNxbWxuGyfJhlKoItBui7X7vKuSs0JO/3j+DQmFTXeSR34Ha7cWXktJVgJcVcgnc/Q1QvaV43x2yzPXjDnVjZF++5tv+WrKnhkoqRF5g0OypmzSsn/IVpbVINW913GaUB362/lyhPnDnSDHa0+1dsc1kAp5aaEjTKEAoZVPc8h1wfiNwbCGw1cPSFPHnvGqWx/5TWL9f3N39rRgh6/gS0KQXMHCq7x8zNBx4ehFQJ3+E2PKeY8kJ4Y4KDXRrlo3mDxT+hEXeGqvDbCP7RGIA8Gsf7fe/FMCdzXLNBorvoeGyjQrXACXL2V4bVL7Jdn9EHcf73POtt63Tx12fAPU6O27v97XjNi0lIz+KEcHa/46L2y0eBG57Fnhwuvp9+n0tlpV5onQVoElfx+16TUNu4kEVj6f/Az5yI7ndiGixFEU+Q6FhTzEj4bm1yp0VNv+T+Z5aaO2Maf0YUL+L88e9Z5zowNHqxc0iC3fZmsqj8sPPFf3p32VrGN2CYotBs6eMTKKh9NiBlMq/tYapUI3uBJ70U+8pBZ7EC2K0eVQE8ENrIC3Ouu/f560Zc93lbXZf0k9oSdvbbR7332MPWSZGf2q19fwcamvyvFaI15LqJS/LveOX/s9x2ySFtauX93rWnkAWZJlGLfu/sb8GeOeU9edha4DWjwP3TQT6jLZuVwpwAsEnN8RrTSlZUFgZ0cH0gWwJjGUU2ZmgYBGslShlvT3ge6DVw8rHj4gWnXueMpnEqGy/r4FSla3b7ach+1PD7sozEtRYMlyHlACGrQWGrhQdMRZPLwJqtAaeWWLdptR/0ehO966Pq+UvN3SWbHH4OZHA7vn14tyv7wPeOWF7TNma4nvpyuJ5L5c/06JBd/F90EzHJGeFVa9RRreg2GLQ7IaROc8a3QTBVSY6pXXEgxf4pi3eCPVg9IeKDsta5BtRwLeFJMEdOfI0UYwvBYc4JrRxR58vlaeGavG8i/rbRSiTqN+4mzSsKKmSP5rm7P+mdBXrz3VuBx6YKv7/O71m3S5pGKE1QlD+7+Xs95OPRJbzcpTt2VWO2ywBozdCS4rAu7Aka3WmTnugXifbbbXaiVFem7JRXvxPPfQr0P19oG7+4wSrdIZ8kiAC4V6fijbYe2490OEl4JUdttvfPi46XJ75D/g4Xsw2KAp/m8a9ZR1p5G/89HbDv3ldECeVw7GSXmZn9FZdhbJT8jcTpSkrTfv4ttTTg9NFL+vIGO33CSk6tdvIAxc01FWlwHfbMOXtStNBve0h98W0tAbdHWsx3/Ga89GSx/9U31e+rkg+1OVtkUzInr+C5psHAO9Hqe9v9Zh/2kHesfwb2vw/2v1vSgo5Ihzuo8ISWN/tx6natz0L3HKf7evIX6+Luh1tO/pcvQ4sI5gVFQKulg/bjvIDcPjbPLva7Sbqyj7/TtXmYtlct/es2+oYkPCw5SCg54fW/1G1GQRBLhKR1W4H3P01EF5e/RhPkt4pXWcHgjaDXT8n5DMMmt2QgZLokPUT5jT53tiG3PkR0Ptz4LV91m3tnxPJF17Z6bj2xDKi21FDxmJPtXpY9LLaT8l0pqYXUyeLi09uGN0C3zm90ugWkB6ULsz7fAk07OG4vYvCNFt3DMofcdQzA/+js91LTtjxFVFLtfNbyvtLVxbJh3p9KpIJ2derv9mNfBhd3xUJddz1XqTIIxFeQVRYUHLPN+6fl9ynJXGVFpYOp46vWKeeWmgZRS5VSXl7n9Fi7W8HF0nBPrzi+jG0Cq8oXnfymsTy6eMlyuj3WEp6jgTqdBC5afq7WAo0ZKkI8p/6F7jjDdt9/b8DytrN7LN/P1RKyAYoj3hbyANatSRcWg2Wlftp+4xI3PX6fpFrxsLb2UKWDpd7vFgeVV6hk9XXHpEl8LzlPtt9Q5eLafsWvspx4YzSIFRQCNBUoZa3u0H+QzpktPamnGMhxaDZTXkIxt0taxrbiBKlgM5vApVl65iDQ4EOLwJVbwH6jRVvtLc9K0agh+SvQbF/czeakevCC4P7f7JOXSMKVGWqATXaWG/f/a3rkVpP1bsDeHW36Bxs4+H0afskju4koQGsWX5rtrFuGzBB/Xh5GaAKDawXGmoldSy6vgPc9THw0lb32gcAJctbf1aa0giI31upLBHpTKfXQd2OwIdXgX5jxOuriSzpmbPX2uD54oL6gSkqzTOpB3YWQ5Z5lkxPjVKuAXnHVcdX9HssJaUqAsNWA4/PE+umnanUSKyHrlAf6PMF0PIR6z7F9w77v4XK36ZuR6DXZ+Jn+/W8Xf4nruHaPAEMXeF435LlxaDDp4muk6rKg1GTSXzZj1R6ep1h6azp8IKYCn27F7MZ7/1B/E/7K1M4ADS73/qzfMpz07vF8ySftl+qEvDoXCCkpBi08gelQahGPcX21/fbTpVX+j8uqxKr9BghRvoteTsa9gR6fOh+++TZ+osJXpG7oVkNnXqMfS2ilsh2OOB7kTjBctGk54eeXt6L9OzFWhx4sqYywk81sC295L2/8M/j6ck+qyy5r0lfEby+uFlcgMo75G4b6vy+d38r8i7U9jBTbZWbxHvZfT8Cbx11//7y9Z+esFxcyUf36nRQP77qLcBbR0TA88YB69q97u85HjtkmRgBGHlNZBS2aHSnm22UfbTLAyr7rLINu7t3XvK/EPkIbH5iq9Bw4IkF4rV034/q60EBoGlf4NkVQMWGnrfBkgHZ0hlTzY3ZD0qfSUrVR+S/Q5UAfo92NY3cvgPDWYdGl7eA9y+IxFZyJUqJa7iBk63PS+n8HA3l64okh8+ty+/wkAXFr+8Hat0GPPaH8uPpsXbbho7r5MvVFP/T8kzhvhjdbamSDE7+d6qmUFI2KAS4ZYCYcdHJR9UyXE2T/yjW+jes1EgkZes/XjxPdytkmn/nhHV2xGt7xSzV5zcAPfLrWfccKdaED54P9HjfvWzrd37kfEp8EcWg2Q3Hr4oyOTfSsw1uiReU1uUYqVRF2xFz8s4Tfkj49to+0Us+Kgno/IbtlKxGd/n+8b2lNvJG2nwUCzwxX1zY1mgttg3MH8W65V7nF/CAGJV456TjCMnNA4BnlmpvR1CQGEV5erEY8Rk00/nx900SgbqlXrxDu1wsX+n8JtBikPV3lqvWTNz/rk+V71u+rrgQdnYBXamJCE5aDnLMdDx4gahPepuGZJT17Eq8mGSjSq0eE1+WEa5ATQ5VlDzgRam1up2cd0J1eAFo+7Tn53fXy9vF66jr29qOb/048OZBcYFtEV5B/XXw3HoxU675g+rnlGenNsKdI0Ubuil0eimS/a5V8zNFyz8nw8u7fs8ExHTh1oOBJxeKfDCWjrHKTcTr+f7JIpB6fh1wc3/b+977g3hf6PquShPdDAUsHc/ykVpf8EX28b5jgJv6W5PjWpa/tBlsPUbeUWWZGdQ5P/hUW0/ctJ/3bXOVqEwpD1D7YeI1ptYp1ucLscyvchOg23DbWR5BwWJNuOW8IWEia/rdGpbuNCieHa5MweaBN/88iPvbuJjOFKhe3QXM6KdfaY57xjEI8YVha6w/3ztRlGiyL8M0/ByQmwV8L+sVVUoCpzf7To7bnxfJoHLSxFq0z8r7vg2eatANqNsBOKTSE0+uKX1wl6ooMpRqTbhiMonpZMPWAiuGi5HrniMcj6vT0XU93YY9xGiNq+ngbZ8SX4C4KD/2L9BKVh7P1fuYqyl5d491vl9JtRZATP5oubPRteAQ4KUt4me1TNJPLQJyMx3r3cpHnUtXAh6c5n47yXM33yNGAP98QgRH1w5rv++zfs778MpOIPYksGCI8v6IWuI1lBYvbpeqBKTHq58vvIK4MO82XPxfrvkU6O9k3WvtduJLydP/AVkp3mfP9pZlpFdtSnOVm2yTXMrflx75HYjaLGq1u6tyE/Up9l3ecn7fdkPElyo3lxAMXQ6cW++4DlhvvkgOV6YK8Ljs83/YWiApWlzX9PkSOL7YtvzYI78DyVdcr7ke8D0wXvZ6bfs0sP939eOVNO4FHJyrvK9Cfe3n6f6BbQerO9Pv63USXytcdQoVz+WVDJqLm+BQ2yk6rR8HDs3z7FzDz4mkN94KCXd9THFTRzZ1td0z4nvzB4CpslEkPZ57JcElgDw3Z1MEBVn/r96LBL4xIGmGFs8sAQ56+P9eVHQbDmTcAPZMd/++zj64PclQWqc98MJG9f21b3MdNAPur58eOBlo/ZjtmrAWDwFpsbavPad0GKXtNQqYO0j8rPUC9L5J4sLurKxjrffnYq2bkk6viYs3+VrMAhxp9otKjYBX8/+Pc7OB0RqWCLg7JV8PVW8RX2pBs0XpSuJ9vkRpYLST0m7yoKfeHcBza9SPdSWQlhI4C0J6jRJTeQumAcvem8LLa5st4m/2GbZdKV0ZaKX0fqKzai18/xihJa0DAXe8Jr7kgoKdB8wvbQMqNnBc/th3jPtBc/MHxOMtft2a9NLCneo31ZoBZau599jOfHAJGGv3HFg+c5v0Bc44SWpXxHB6dnFUWZZNdeAU4J3T2u53u112Tb2CNvt6gK64M4WzKKne0pqJVf63sEwfqnmr949Rugrwrsb/BzWlKnrfDp/If5P3VWdDYfDMUjFVUp4oqjgKDRdrPeXToIOCgE6viEBdC5PKND13NJat3yunMcFk26eAJ/+23u70mpg6rqbKTWI99YM/O+7TY0ohqbt3ouM2raUWQ0vp2xa9laoopnM602ygX5oSUEpGAPd8a+18kycL83VWcHe9tg8Yshyo0tTolth6ZadIulXXSa6IQBEUbA2Yn/xXzGJ6L1LMpNI8hT+fySSmvL8fZV3bbUkSd4sbmar1HqEvWQ5485CY7WFP6XOlCGPQXBzd+bEIup5dLV6kZZz0FMtVa279Wc8EDa4uPoeft71tP/2wKHlpG/DuWfX970UCb58UH8oWAyeLZBBP5F9IDz/n+eO/sktMqSuKLOu85IFKYaH0YeWOAd8Dt79oTejT+U2RMfO+H50nsbL3gB+m9rZ+3PqzJIlMn4HoprtFR5V9Z6I75CPknmYb17IuWW09dSCOehUllllCWj2qMjWzsHI3M31RFFpSfK6+ssu9kpz+ULkxUD8Ar6eq3uJekGgo2ftq47uAh2daBw7cKS8oJ5/J8NoecU3ozvRsX0ydrlBfzPawVFyokr8UMLx80XvfcoLTs4ujkuVsgy6tF2vy4vP+vNgqXUlMDzkwB2h2n+v1Gd5MOdeqxUPAUR+URqjuYjpScIjjmq6SESIZhIXWkdS7vxXrSQExLWjA90U3YAZEaSRA/L9XbwlcO2Jse7S66R7xYRVRF0i66P79H5vn+OFdshzw9CLxc7OBwKXdgJQHLHlLTC20f5xPbgCQ1JOg6OmBqbLXrwR0f1/05Fdv5fvHdkdImPOp5VqVrgqkXff895NPMXeXP/6eRclz64GcdOA3nS7oH5gGLHzReruKH3JSkP/5I9cI+Y/JJJZPZNywnblpr+atorNksoaOaUv5J3shYWIdtlvt8+F46PtRYvmevMSVfeK5io2ABNngTREqTcWRZhLePePe8UE69rfYZ4pVUrKcmDoZUdv5cff9KC66n14syrz4yqAZIsugVlVucdzW9G7Pykrppe1TQP2uIvPmw7OKbsDc/EHxXMszuD7mRqdKP4VSDv5yy73q5UO0ktcTVlKynJgK1rSvKFHxvyOilJQl18B9k0RHlREBVvWW4gLljtcDa02jnv53DBgRLf4O7nj7pJgO2LSvjm05rt+5ipL+3wEjLoskVQ26AqE6lW8sDNnLXWWVt3ffj9affVGrnchoJpN4731+g+vPRa0dJvI65Z6q01EsAWjQ1ftzqSlRyrHUlP3r/HG766s2T/iuPX7GoJmEMlWBd05pP17PD0Mt5RbsWcoE2KvRRnxv2ENkufQl+8QPauUcOr8lksB8LMsyev9kYPCfvuuBe2yeWLdqKatgL7S06KwYstR15k2ldXmFyZ0fiedavta6fB3g00TbWrhqmvR2TMrhD3d9Kv5PvHmtlYzQvlZWrkZr4KNrwMgYa8Zpf3ppqwhUWj3m/8f2t5ASntVPLVdDTAf09r24kiwbfkQtzzryHp3jXRsKA/nIyjAdE99Yyn8Btn9LV+VnfOmphWKGyzNLHGt722v7tPg8vvNjoHFv24z0rjq5iQork0n7e++IaJGZ2xk9ctIMXZG/nlrvetwadH/f+rO8EkSNNkWq84xBM1mVrW57u9NrwMhr1tueBLda3T/ZveNvVahNWaO17bprX+nyP/HdPhi562PlOsW98y+K5NmFJbNv2mZx8z1iGk3TPqLupT1Xydde3SOmoL97RqzLq9nW+fH2LMF6mJujZ76gNppjMokpUR/FOr9/pUbiuXjzkAjm/KXr27ajj84+d1o9JrJY2pN/kHnCqDV41VsC7Z9zr1QGeaZTfrbYpneL75505Fk6K4ssuxefWqet26c1OdaiHbpSjO66m0RIT43uFKNFDbq5fg3e96N4X+z2rkhQFxImRuXfj9I2i4yoqAsr65+lF0FB2hMN6q3rO+J966mFtttLVTKmPT7CKxKyJa9V2usz2w89y5pQALonGrjVzekb7Z8TvWofXAJe2AR8HCe+20+VsaztKOVmxmSli8DbXxD1YHuNEreV1g63Gazt/HpddDlj6d3r+DLwyGzbfa7ewKs0FaOrliRx7gb5TfsAo5LEhZOlk8EwLqZAhpQAyqrU/nx+vfXnCvXF302eqMpXburvuK3vGPG985siG3Lb/CRDnV4TtXefmK9woqLTw0s+0m6IWHf36GyXhyoKK+e6hmlhp/dIiWV0v9GdtokwS1cRHZp3j7Ud2S5swsoU3eU+RB6RXYfcch8QHqhVRjwUEibetyyl8h7/Uyz/u3eCoc3SG4NmsiX/AHdWd9Xd9XdatNYYcAKiR63eHaIdNduIUXClC5sXt4jzPjzL+flGJYkvy++vlGE5vKLjWo6Xt4vRZUtw1eIh4KFf1QPF1/cDTy1yvc5Ub/YBfjeVqeRqLKPV3Ya7d7+gYGsng1G0JMV4YZP154FTRQbyFzbZdiIV7J9iHZ3zldYK05JvGSA6bXp/LtYV9R8v1lT1/lz9PFoz41PxZTKJdXfuzCSylEEB/P9eVhS8shP44KJ4fQYFAW8cFLN7fPG5SkTGkyd6fOR3YLisSopaEjAjWa7bPJ3xctPdYvmfr5dJ+hmzZ5OtZvcD0buBckprkSRxoR61BWj5sP6PXbsdcMjLpEf2qrcAHpgishza6/YesPkb221v7AfOrgXaPAmkxwP7Zlr3dX7D8RzVmgNP/Wu9bTIBLQeJbNQlI0RPm1ylRupr1do/p+138oQ88/mT/7o/ClCvk1jfGmglM1y5eQBQsaHr48pWE50mcmpZyE0moO+XYr3eyg+8b6NF5aZAXH6NbPtslBbyTpvgEKCWi2nz/pjRQEXPbcOAvb+q76/VDki8IH5u+Yj4futTwAEPR6sLs3qdgQvbrLfv+xH473Xn9wkOBYJl5Zgq6ljCkYgCT9lqwJuHxVRtk8l2gCokAK+ruvxPXOeXq2V0SwIKR5rJVoeXRBKpFzcp728/TIza+mJ9s561n+2FVxDBojxZV53bFdpQXwSvoSXFtJJPE0UylOHnHBN/ORMULN50at/mZcN1Il+X5um0uUAImN86qv3YV3cDj831XRIK+w4Rb7V8RCSL+zhev0zVJcvrcx4qXgaMd76//3fWny3LdgZMcDyuXgDWgNXL3d+IZR33/mC7vc2TQLuhooOZiMiiQj3bhKSBLqJ2kUripQcGzWQrOEQkkVIaZat8k+M2XSmsPXWnrJMrje+yXXMszxqrxmQSyVC01j72RkUfZkuVlwir5qIWtNFqtFbefsfrYu2k1qRxvqxVCGgPbGtp7DgxQbz+nC2L0KrZ/cCD00XvNpHe5Bd+lg5Upf/bocuVExEWNqGlHLd1eBF4+4RjndagINHh2n6YX5pGRIWcEeUcySMMmsm1/x0XiWLKqSRL0ktphfWXrrI8u/0YsuA3og7w0jb3Ri99YcgyoMvbvp2eLR9dNiq7olZDlll/fnC6CABf2wv0GS223fqEyM7qko97SLUG5U/+DdwzznZblZvF2nfbE3rfps5vAbVvBx78BWjlgyUURBbthgB1O9nOuJCv27PUHe3oZp1fX/CkZJwl0R4ANBuofIxlFKZNfpmuFoPcfxwiKp46vyUGS25jB1thwTXN5FqEn9Y01GglRiX0XCdqr2QEMGyNGHkNDhFrno1Wv4v48qXydcVza0T9PnfU7yraOCpJlIoymZSDP1eZZUtVFlOhfElr/ePwCsDtz4vkXmPycwU07iXWvldrAfz1BBB/VqyD95alvBmRr9lPSwaAwX8Bu38WAWeF+n5vkipPllLcN1F8Wd6HnOn/HdDiwaI9HZ2I9NX7M35mFzIcaabA4o9RiTq3u06gVBR1fBm49UljHvvFzdbRGGce+d36s6draXqOBN456du64oAI7t84YL39+n7b/ff/JEbI5cdH5GeSbHa/+F71ZpFJd/g59QRxRIawe/31/06MpDobtS1XU2RdrdjA9vXrbtZ93Xkxi0PL+1BoSbH8JxDyPhARkU8waCYi36vRGhj4k+P2Nk8Ag/IzlEfUcS9Jxh2ybOby7JPd3/N9wGxRsaEoF/PCJhH09hghtnd8RXRQ2K93fHUn8No+2yR0waH+WTNP5I5Xd9sGuyElgUG/irJ67rrzI/3aRUREZABOz6bA07QfcHol0KSP0S0hX3lktigHFRQkpj9WqO/+SGvPD8XIVtO+wFSdM1m7Q14upscHQPf31UenSpQGKmtIQEdktCpNRbB75QAQtU29DJpWnV4DTi4DbkTabi9ZHshMVL7Pk/8AczwI0u2VUEjkRURE5AYGzRR4HvxZXFx5e5FGAUyylsEymTybLh8abp3OH0jZJ1migYqSJ/4G8nK8TyDY90vxNSq/PnFEHbFmOCcD+HOw8n0a93LcdufHwPovtD3mM0vEd3fKBQK2yy6IiIjAoJkCUckI29JQVPRICuXFvBHEtzIinzCZfJNxv0lvoNGdgDlPTPmu0RrISgU2f+P8fiFh2h+jQTfP2laxoWf3IyKiIotXmkTkf3pflNbpCJxaBoSE63teItLXa/uA44tEnWNAzBKRJxezBM1qHWHBGoNmefkrIiIiLzERGBH5z/PrRYbsGjpf0N4/SdS6fmmLvuclIn1Vbgx0e1e9/N3g+SLLvGVqtT0tFQDCIoAnFnjeRiIiIjscaSYi/6nVTnzprVRFoNen+p+XiPyraV/xZVG1GXD9uPV2iVJAh5eBXVOU79/pNaD354GV54CIiAo9jjQTERFRYDIpXKbcPdaxLjoAvHNaJBtTCphf2ws8tQh464jjvt4aE4sREVGxxaCZiIiIChelEnXOMtdXbgI06gmUr2u7vXZ7oPMbyvchIiLKx6CZiIiIApSTQNi+JFVYOX3PT0RElI9BMxEREQWm8PLWnx/5Xf24Nw4CoSXdP79ldHrgVPG97xj3z0FEREUeg2YiIiIKTPdNBGreCgyaCTS733ZfrdusP1dsoP2cL2wEKjcVP/cZLb63eRz45AbQ6RWvmktEREUTs2cTERFRYKrYUAS5Srr8DwgrAzTp4945a94KvLYHyM0GQkpYtwdxHIGIiJQxaCYiIqLCJ7QkcMfrnt9fHjATERE5wW5VIiIiIiIiIhUMmomIiIiIiIhUMGgmIiIiIiIiUsGgmYiIiIiIiEgFg2YiIiIiIiIiFQyaiYiIiIiIiFQwaHZDkMnoFhAREREREZE/MWh2Q8nQYKObQERERERERH7EoNkNDJqJiIiIiIiKF12C5sWLF6Nhw4YICQlBhw4dcOLECT1OG3DCQtjHQEREREREVJx4HQWeO3cOQ4cOxdixY3H58mXUq1cPzz33nB5tCzjhHGkmIiIiIiIqVkK8PcGJEyfw1Vdf4ZFHHgEAvPzyy+jXr5/XDQtEYQyaiYiIiIiIihWvg+YBAwbY3D516hQaN27s9D5ZWVnIysoquJ2cnOxtM/yiZCinZxMRERERERUnmqPAgQMHonz58g5fkyZNKjgmOzsb48aNwyuvvOL0XGPGjEFERETBV506dTz/DfyoZAhHmomIiIiIiIoTzSPN06ZNQ0ZGhsP2ihUrFvz80UcfoUyZMnjhhRecnmvEiBF4++23C24nJycXisCZI81ERERERETFi+aguVq1ak73r1mzBlOnTsXOnTsRGhrq9NiwsDCEhYVpfeiAwZJTRERERERExYsuQ6fnz5/HE088gSlTpqBZs2Z6nDIgMXs2ERERERFR8eJ1IrCMjAwMGDAAAwcOxP3334/U1FQAQOnSpWEymbxuYCBh9mwiIiIiIqLixeuR5lWrVuHEiRP45ZdfULZs2YKvCxcu6NG+gMI1zURERERERMWL1yPNAwcOhCRJerQl4IUxezYREREREVGxwqFTN3CkmYiIiIiIqHhhFOgGJgIjIiIiIiIqXhg0u4Elp4iIiIiIiIoXBs1u4PRsIiIiIiKi4oVRoBvkI81mc/FIfkZERERERFScMWh2gzx7dl4xyRhORERERERUnDFodoN8enYeR5qJiIiIiIiKPAbNbpBPz2bQTEREREREVPQxaHaDTdDM6dlERERERERFHoNmN4SFWJ+u3DwGzUREREREREUdg2Y3yEeas3LzDGwJERERERER+QODZjeUkI00Z+aYDWwJERERERER+QODZjeEBpsKfs7I5kgzERERERFRUceg2Q0lgq1PF6dnExERERERFX0Mmt0QKguad0UmGNgSIiIiIiIi8gcGzW6QB82HLiUa1xAiIiIiIiLyCwbNbpCvac7M4fRsIiIiIiKioo5BsxtMJlkiMAbNRERERERERR6DZg+VCQs1uglERERERETkYwyaPdShQUWjm0BEREREREQ+xqDZQ9l5ZqObQERERERERD7GoNlDiw5cNroJRERERERE5GMMmj105nqq0U0gIiIiIiIiH2PQTERERERERKSCQTMRERERERGRCgbNRERERERERCoYNBMRERERERGpYNBMREREREREpIJBMxEREREREZEKBs1EREREREREKhg0ExEREREREalg0ExERERERESkgkEzERERERERkQoGzUREREREREQqGDQTERERERERqWDQTERERERERKSCQTMRERERERGRCgbNRERERERERCoYNBMRERERERGpYNBMREREREREpIJBMxEREREREZEKBs1eiEvNMroJRERERERE5EMMmr1w/Eqy0U0gIiIiIiIiH2LQ7IXkzByjm0BEREREREQ+xKDZC1k5ZqObQERERERERD7EoNkLmbl5RjeBiIiIiIiIfIhBsxcyshk0ExERERERFWUMmt3UuXGlgp8zcxg0ExERERERFWUMmt009I4GBT/fSGciMCIiIiIioqKMQbObOjWyjjQvO3zVwJYQERERERGRrzFodlNwkKng52vJmQa2hIiIiIiIiHyNQbOb5EEzERERERERFW0Mmt0UbGLQTEREREREVFwwaHZTEEeaiYiIiIiIig0GzUREREREREQqGDQTERERERERqWDQTERERERERKSCQTMRERERERGRCgbNRERERERERCoYNBMRERERERGpYNBMREREREREpIJBMxEREREREZEKBs1EREREREREKhg0ExEREREREalg0ExERERERESkgkEzERERERERkQoGzUREREREREQqGDQTERERERERqWDQTERERERERKSCQTMRERERERGRCgbNRERERERERCoYNBMRERERERGpYNDspbPXU41uAhEREREREfkIg2YvpWTmGN0EIiIiIiIi8hEGzV4yS5LRTSAiIiIiIiIfYdDspfjUbKObQERERERERD7CoNlLv2w5b3QTiIiIiIiIyEcYNHvAZLL+nJljNq4hRERERERE5FMMmj0gX8Z85HKScQ0hIiIiIiIin2LQ7IEgk+tjiIiIiIiIqPBj0OyBN+9qanQTiIiIiIiIyA8YNHugRkRJo5tAREREREREfsCg2ROcnk1ERERERFQsMGj2QFgInzYiIiIiIqLigNGfB+5uUcPoJhAREREREZEfMGj2QAmONBMRERERERULjP6IiIiIiIiIVDBoJiIiIiIiIlKhe9Dcr18/zJo1S+/TEhEREREREfmdrkHz3LlzsWrVKj1PSURERERERGQY3YLmhIQEvPPOO7jpppv0OiURERERERGRoUL0OtE777yDBx54ABkZGXqdkoiIiIiIiMhQmoPmgQMHYuPGjQ7bR48ejebNm2PdunU4evQo3njjDZfnysrKQlZWVsHt5ORkrc0ISFeTMlAjItzoZhAREREREZHONAfN06ZNUxxFrlixIm677TZMmTIF5cqV03SuMWPG4LPPPtPeygC35UwcHrmtjtHNICIiIiIiIp1pDpqrVaumuH3kyJFo3749+vfvr/lBR4wYgbfffrvgdnJyMurUYdBJREREREREgcXrNc1//PEHYmNjUb58eQBAeno65s+fj927d2Py5MmK9wkLC0NYWJi3Dx0wLt/gOm4iIiIiIqKiyOugecuWLcjNzS24/e6776Jjx44YMmSIt6cuNNKycl0fRERERERERIWO10Fz7dq1bW6XKVMGlStXRuXKlb09daExfWskPhrQzOhmEBERERERkc50KzllMWvWLL1PSURERERERGSIIKMbUFi90qOR0U0gIiIiIiIiH2PQ7KH729QyuglERERERETkYwyaPRQRHmp0E4iIiIiIiMjHGDR7qFKZEkY3gYiIiIiIiHyMQbOH8syS0U0gIiIiIiIiH2PQ7KEgk8nmtiQxiCYiIiIiIipqGDR7qESI7VO3J+qGQS0hIiIiIiIiX2HQrJOs3Dyjm0BEREREREQ6Y9CsE87OJiIiIiIiKnoYNOtk+ZGrRjeBiIiIiIiIdMagWSfz914yuglERERERESkMwbNOmEFKiIiIiIioqKHQTMRERERERGRCgbNRERERERERCoYNBMRERERERGpYNBMREREREREpIJBsxe+fKCF0U0gIiIiIiIiH2LQ7IXOjSrb3E7NyjWoJUREREREROQLDJq9EBEeanP7rT8PGtMQIiIiIiIi8gkGzV6oULqEze21J2IMagkRERERERH5AoNmIiIiIiIiIhUMmomIiIiIiIhUMGgmIiIiIiIiUsGgmYiIiIiIiEgFg2YiIiIiIiIiFQyaiYiIiIiIiFQwaCYiIiIiIiJSwaCZiIiIiIiISAWDZi/NHNLe6CYQERERERGRjzBo9lK7+hWMbgIRERERERH5CINmL5UrGWp0E4iIiIiIiMhHGDTr7HB0otFNICIiIiIiIp0waNbZfZO2Gd0EIiIiIiIi0gmDZiIiIiIiIiIVDJqJiIiIiIiIVDBoJiIiIiIiIlLBoJmIiIiIiIhIBYNmIiIiIiIiIhUMmnUwtHN9m9s7zsUb0xAiIiIiIiLSFYNmHbSsFWFz+/FfdhrUEiIiIiIiItITg2YdlAjh00hERERERFQUMdrTQcXSJYxuAhEREREREfkAg2YddGpYyegmEBERERERkQ8waNaByWQyuglERERERETkAwyaiYiIiIiIiFQwaCYiIiIiIiJSwaCZiIiIiIiISAWDZp2Me7i1ze2L8ekGtYSIiIiIiIj0wqBZJ81qlLO53e3bDQa1hIiIiIiIiPTCoFknTKBNRERERERU9DBoJiIiIiIiIlLBoFknHGkmIiIiIiIqehg066Rm+XCjm0BEREREREQ6Y9Csk3IlQx22mc2SAS0hIiIiIiIivTBo9qGpm88Z3QQiIiIiIiLyAoNmH5q5LcroJhAREREREZEXGDTrKCTINhtYbEqWQS0hIiIiIiIiPTBo1tGwrg2MbgIRERERERHpiEGzjh65rY7RTSAiIiIiIiIdMWjWUeUyYUY3gYiIiIiIiHTEoFlHEeGOZaeIiIiIiIio8GLQ7GOnrqUY3QQiIiIiIiLyEINmH+s7YTOSM3OMbgYRERERERF5gEGzzha+cofDtgtx6Qa0hIiIiIiIiLzFoFlnbeqUd9hmMjkeR0RERERERIGPQbPOTAoRcnae2YCWEBERERERkbcYNPvBpPVnjW4CEREREREReYBBsx+sP3nd6CYQERERERGRBxg0ExEREREREalg0ExERERERESkgkEzERERERERkQoGzUREREREREQqGDT7wLt9mhrdBCIiIiIiItIBg2YfaFKtrNFNICIiIiIiIh0waPaBPs2qOWyTJMmAlhAREREREZE3GDT7gMlkctj28+bzBrSEiIiIiIiIvMGg2U/GrDiJqLg0jjgTEREREREVIgya/ajHuI34bMlxo5tBREREREREGjFo9rNZ26OMbgIRERERERFpxKDZR5SSgREREREREVHhwqDZR5pUK2N0E4iIiIiIiMhLDJp9pFEVBs1ERERERESFHYNmH+nQsJLRTSAiIiIiIiIvMWj2kVrlw/FR/1uMbgYRERERERF5gUGzDz3XtaHi9oS0bD+3hIiIiIiIiDzBoNkAbb9YY3QTiIiIiIiISAMGzUREREREREQqGDQTERERERERqdA1aP7ggw9w77336nnKQm/yE20Vtx+6lOjfhhAREREREZHbQvQ60dGjRzF58mQcOHBAr1MWCRHhoYrb156IAQA0r1kOIcEc8CciIiIiIgpEukRrkiThxRdfxFtvvYVGjRrpccoio339iorbf1x/Fvf/tA2fLz3u5xYRERERERGRVroEzb/88gsOHjyIBg0aYOnSpcjJydHjtEVCiRDnT/HvOy74qSVERERERETkLs1B88CBA1G+fHmHr0mTJuGjjz5CkyZNEB0djfHjx6Nbt27IzMxUPVdWVhaSk5NtvoiIiIiIiIgCjeagedq0aTh48KDDV7ly5ZCWlob169fj448/xurVq5GYmIjff/9d9VxjxoxBREREwVedOnV0+WUC1eFRfYxuAhEREREREXlAc9BcrVo11K9f3+ErOjoaHTp0QMWKYu1uSEgIWrVqhcjISNVzjRgxAklJSQVfly5d8v43CWDlSionA7O4nJjhp5YQERERERGRO7xe01ynTh1kZNgGfRcuXEC9evVU7xMWFoZy5crZfBVnXy07YXQTiIiIiIiISIHXQXP//v1x4sQJTJ06FdHR0Zg4cSIOHjyIfv366dG+YiE7z2x0E4iIiIiIiEiB10FzxYoVsXLlSsyePRtNmzbFhAkT8Oeff6J+/fo6NK/o2P7BnUY3gYiIiIiIiNwUosdJOnbsiG3btulxqiKrZvlwo5tAREREREREbtKlTjMRERERERFRUcSgOQBIktEtICIiIiIiIiUMmgPA2hMxRjeBiIiIiIiIFDBo9qN5z3c0uglERERERETkBgbNftSpUSWjm0BERERERERuYNBMREREREREpIJBs5/d36am0U0gIiIiIiIijRg0+9moe5sb3QQiIiIiIiLSiEGzn1UoXUJxu9nMulNERERERESBhkFzgNhw6rrRTSAiIiIiIiI7DJoN8PNT7Ry2DfttLySJo81ERERERESBhEGzATo3rqy4fd+FG35uCRERERERETnDoNkApcNCFEebB03dwbXNREREREREAYRBs0F6N6umuH1nZLyfW0JERERERERqGDQbxGQyKW7PyjX7uSVERERERESkhkFzgHllzn5sOxtndDOIiIiIiIgIDJoN1blxJYdtGTl5eGL6LgNaQ0RERERERPYYNBvow3tuMboJRERERERE5ASDZgM1rxlhdBOIiIiIiIjICQbNRERERERERCoYNBMRERERERGpYNBMREREREREpIJBs8Fuq1dBcfvvO6JwJTHDz60hIiIiIiIiOQbNBpv17O2K2z9ZfAz3Tdrq59YQERERERGRHINmg5UJC1HdF5ea7ceWEBERERERkT0GzQFgzIMtjW4CERERERERKWDQHADqViylui8yLg2SJAEAzGbJX00iIiIiIiIiMGgOCHc0qqS6r+e4jfhx/VlE30jHrV+swbhVp/zYMiIiIiIiouKNQXMAMJlMTvePX3Ma3685g6SMHEzacNZPrSIiIiIiIiIGzYWEBE7NJiIiIiIi8jcGzQFi2lPtnO7nemYiIiIiIiL/Y9AcIPo2r+50/6KDV/zUEiIiIiIiIrJg0ExERERERESkgkFzAHmxe0Ojm0BEREREREQyDJoDyAf9bja6CURERERERCTDoDmAmEwmTH/6NqObQURERERERPkYNAeYXs2quTwmNSvXDy0hIiIiIiIiBs0B6PHb6zrd3+6LNWjx6SpsPRPnpxYREREREREVTwyaA9CXA1s43Z+Va0ZqVi6e/HWXn1pERERERERUPDFoDkBBQSajm0BERERERERg0Bywzn91j6bjkjNzfNwSIiIiIiKi4otBc4AKCjKhf6saLo9rNWo1A2ciIiIiIiIfYdAcwH4a3FbTcdO3REKSJB+3hoiIiIiIqPhh0BzgFrzUyeUxE9edQeex65GQlu2HFgGXEzNw36StWHgg2i+PR0REREREZBQGzQGuff2K2P9xb5fHXUnKxPQt5/3QIuCz/47hcHQS/vfXIb88HhERERERkVEYNBcCFUuX0HTc5I3ncD0l08etAVKzcn3+GERERERERIGAQXMRc/uX65CU7tvEYCZWxCIiIiIiomKCQXMhcU5jCSoAaP35avQctxFJGb4Jnk3QL2rOyM7T7VxERERERER6Y9BcSAQHmTBAQwkqi8i4NMzZecEnbdFrpPmnDWdxyycrsfrYNX1OSEREREREpDMGzYXIJI0lqCxy83xThsqkU9T87apTAIAP/j3i8Tki49KQmcPRaiIiIiIi8g0GzYXMmS/vxqh7m2k61uxF7eaouDTc9d1GLNh7yWGfuyGzJEk4E5MCs1nfIH7n+Xj0HLcR9/ywRdfzEhERERERWTBoLmRCg4MwpHMDTcf+sO4Mjl9JhuRB8Dxy0RGci03D8L8PO+xzd6B5/JrT6P39Zny+9Ljiflen+3P3RfT5fhMuJ2bYbF988AoA4HxcmnsNIiIiIiIi0ohBcyE1afCtmo67Z+IW/JJfv1mSJOTmmTXdLzNH/Th5kKvlfD+uPwsAmLU9Svl8LqLmD/49gtMxqRhtF3QzizcREREREfkag+ZCqlPDSpqPnbZJBM2vzzuA275cqymrtlo8eikhHYmy+zf9aAUORydqbot7j2arsK5dTsvKxd/7opGYnm10U4iIiIiIyE0MmgupSmXCNB9rSdy19PBVJKbnYOnhKx495vWUTHT9ZgMOXEws2GaWgM+WiBHgLWdi8fuOKLfPq3XE2H6SeWEZaP5w4RG8u+AQhv22V9PxV5MyCm0HARERERFRUcOguRDr3ayapuPiUrPw04azBbeVljhfS8pEvwmbC8pUKQWyx64kO32cp37djU8WH8O+Cwma2uWtwjI927L2et+FGy6PPROTgk5j1uOu7zb5ullERERERKQBg+ZC7Cc3SlBZyjsBwLTN5xz2j1lxAievpeCjRUeRlZuHlMxcm/1xqVkYOnOP4rlNAGKSMwtuD19wGO/9fUhzAjJPY19ToRlr1m5Vfs1q+6RnekjNytW8pp2IiIiIiAQGzYVYiZAgRI3t7/b9LiVkIPpGesHtnDxzwWgoAHQeuwEnr6XY3Oe71afgzLOzrAH1+bg0zN8bjeNXnY9MW2ienm0XgxeWkeZAkJCWjRafrkI/luciIiIiInILg+Yi4NAnfdy+z8R1Z3D0chJ2nIvHz5vP2+yLS82yuf3C73tx3MnUbJNJeep2dq62UU1PR4wZM2u35UwsAODs9VSDW0JEREREVLiEGN0A8l5EqVBEje2P+h8s03yf+XujMX9vNACgQqlQp8euPh7jdL9a0GvSeSjYIREYh5o9kpGdhy+WHUe/5tXRrWkVt+4bfSMdJ66mICRY/NXNkoR5uy9h7IMt3UpOR0RERERUWDBoLkL2ftQLt41e6/b9bqS7LkHlzO4o5cRfK49eQ5s65b06d1FgMiknX1M+1jcdAfLzTtl0Dn/suog/dl10e3p/l683KG4vVzIU3z3SuuC2JEmITclC1XIlPWswFUjPzkXJkGAEBbGTiIiIiMgInJ5dhFQOsJG+qZscE46ZzY7RoyWeG/XfMYzPXzstSRJ2nY9HQlrhr22sNWD2F/l6dr1cT8m0uf3ugsO4/at1Hpc3I+F6SiaafbIKj/68w+imEBkiIzsPfb7fhFH/HTO6KUREVIwxaC5ijn3WF2XDAmcCwbsLDtncfv+fww7HmABciE/DrO1RmLj+LMxmCWuOx+DRn3ei57iNBcdpzcZNjnw9RrnlTBzOxFiTx/2zX0z9/2HtGR8/ctG28qjIpr4nynW5MqKiaPHByzgdk4pZ26OMbgoRERVjDJqLmNJhITjyWV9MfPxWo5sCAPh7X7TN7QV2twExdfiJ6btkt4G1J8Q66qQM9anjnsxknrLxHO79cSuSM72bku6OQFt67Srx2oZT1/HWnwecPvdKPvj3iMM2d7o59kYlYOa2yILOkaSMHHaUFDE7z8fjpdn7cDVJ/5JqxcG1pEyk+PG9KxDk8T2AiIgCAIPmIureVjWMboKq+h8sw/lYaxbn7Dwzom9YL6L/99fBgiRlao5EJxWMwgGibJZFRnYexq06hcPRiTh4KRFPTN+JI9EiU/jXK0/iyOUkPDh5OzKy89xqd2GucexO4D505h4sOngF36857dZjJKY7TqV3J+gdNHUHPltyHKuPx2DfhQS0/mw13vzzIA5HJ+r23OeZJew4F4/07FzF/dm5ZgyZuRvTFJYWkPce+3knVh67hvf+dpxxUlRdiE/TXEnAmespmeg4Zh1ajlqtQ6sKD0+rKxAREemJQXMRFeiZpYfLLppjU2xLXC066Hod7L2TtuJqknUdbbNPVuJCfBoAYOL6M5i04Szum7QND0zehm1n43HvpK14/JedBcefvZ6KWz5ZiUOXEjW1d8rGc2j60Qrsv3gDHy06gskbz7q8z5XEDCw6cDng1jRr5e5o4LnYNIdtnvzqkXFpmLxBBK3/HbqC+yZtw8eLj3pwJkdTNp7F47/sxNCZe3A5MQMxybZrsRcfvIyNp2IxZsVJXR6PlF2+UTxGmjecvI7u327EE9N3uj7YhY0nYwt+Ts1S7vTRw45z8Xh7/kEcupSIubsu6BLwExERFXaBs/iVdLf8ja64Z+IWo5uhaN8Fz9dorjvhWAIrJ0/C1E3nMObBVjh51Voz2lXAev9P25xmkM4zS0jKyMHXK0UQ9eDk7QX7XujaEGYJyMjJQ0S4Y9mu7t9uQE6e67BRkiQkZ+QiJiXTL9ORd5yL8/ljFPDg11F6CubtvoRq5UpiyB31Ub5UCYf92blmPDF9J9rWq4ARd9+ieu55uy8BAHZFJqDz2PUAgHNf3YPg/MzU6W7OPiDPSBD/9zvPJ6Bx1TKoUjawkhjqZe6uiwD0WZOeK0uimKeQUFEvls7Ff/dfBgAkpufg1Z6NffZ4rgR4/y8RERUTDJqLsGY1y6FS6RKILwIZqAGRbGp3ZAL+yL8QtWcZXXd3lP1CfBr+3HMJz3dtWFCzetPpWHy25Dgi4xxHTy0aj1xR8PPq/3VD02plbfYrBcwZ2Xn4ZPFR9G1eHb2aVQMAvD7vAJYevupWm71xJSnT9UEwLuu3BEnxQnnC2jM4eTUFU59q57Bv9fFr2BN1A3uibjgNmpXk5JkRHBTsaXPJQxtPxWLorD0ICTLh7Ff3GN0cH9HvRWRU8LjzfLyhQTMREVEg4PTsIm7fx73xTu+mRjdDN49M24F1J68r7lt3IgbJmTlIc3PqYvdvN2LKxnNo+8UaPD1jNwZO3o4hM/c4DZjtDfxpm6bjftlyHgv2ReO53/cWbPNHwGzUukBPQgYRrCu3d1dkvOL2HC/WPE/bdF722NpafCUxA3N3XUBmjvLI9B+7LuKZGbuRnJmDvVEJyMpVH8GOjEtTnD3hiiRJTtubnp2LhQeiFdeaOzN7RxTe/POAT9fwS5KETafFdONcH46aGk3PjiebMt2F6Cm7kpiBQVO2Y5mH73McaCYiokDAoLkYeP2uJqhdIdzoZvhcTHIWWo1ajV2RCR6fY8uZOM3rnOXSs/OQlpXrcv3f8SvWqeNRbgTlai4lpPssuDFLIqO1L9dPukstVvAmOPl+rTXhmdbT3P3DFoxceBTjVZKlfbjwCDadjkWrUasxaOoOvO8k8VXPcRsx7Le92HHOsUMgWmXtryRJeGbmHjw6badq4Dxy4VH8769DeO63vYr71Xy8+BgWH7yCFbJEe3rTI+ZLzsxBXGqW6wOLiMKaEOuTxUex98INvPrHfqObQkRE5DEGzcXE2re763q+gW1q6nq+oqD5p6vQ9KMVqP/BMnT5er3iMSuPWQORHuM2YvtZ9fXFs3dEYdR/x1SDog2nrqPrNxvw9IzdLtvmydTOtSdiMGjqDgyast31wSo8XaOt1l610/l7KrmlHNfm07EujhS0JLc7HJ3osM0+UZlFRk4eNp+Oxe6oBFxKUA6sFx4Qa1L3epg/wN0ZG+64EJ9eMNLsqVajVuO20WuRnJmDzJw8mANwxFrPFslfE5Ifh5q9TSqZmO5diSz7h5+5LRJfLD3OcnRERORXDJqLiZKhwfhRp9rN+z7qhQmP3Yqosf0Lvk583g/Pdm6gy/mLArURQnuDZfWp7X28+BhmbY/Cq3/sVxzBnr3jAgBg+7l4ZObk4aNFR7DxlPLUdW+cvJbi8X09m54tqY6pqV0o63X5LD/9pPVnXNbE1fO6/ZBC0Kzl/GoxjbdrYH29hla+/OGpX3dpmjGRlJGDkQuPYG+UdTbJwYuJuPnjlXhoquedO76iZ2AX6BUR9JSYnq343P2y+Tw+W3Icv26NxNHLyQr3NE4gdtoUNjl5Zmw8dT2gZjcREVkwaC5GBrSqgeF9b8I3D7XCsje6qB73x/MdAABfDGyBk1/0Q+SYe9C5cSUAwOJXO6NSGcdMt+ElgvHJvc2we+Rdvml8Mbb8yDWMWnIM8/dcQlZuXsHFpHyN469bIzFn50UMmblH8Ry7ziuvBTbaoUuJGLnwCBJkyeqcxRnq07P1uWCVn2Xc6tMYvfSELufVYvkRfadDextirT2hfweMmi1n4rDhlPrIc2ZOHjJz8vD1ypOYu+siBk3dUbBvQ35H0YGLiYr3jYxLw8tz9uHo5SRd26yFnmGU/PVelAdZt5yJRZvP1+D9f8SSBvm09C+XW1+PegZWkiRh+ZGrOB+b6tH95+66gFafrfaqKgQB49ecxpCZezBslvLnGBGRkZg9uxgxmUw2WVCjxvZHdq4ZJUKCUP+DZQXb72hU2aEM05xhHQrO4UzVsiWx68O7EGQy4Y15B7AjQIO1wuaPXRfxx66LeO+fw6hcJgyNq5bGzvPW0TZXNZV/yx+VtncxPh11K5XSta1yWkp+AUBihnVEV4Lr6dnRN9IRGhyEauVK6tBK+fltG7zngvP18f6cJusuk8nkVXS15rj7ycm8oZbMLTfPjFajVsNkAlrXLu+w39WvOGTmblyIT8eKo9eclpfztVPXUlAuPAQ1ItTzS0TFpcEsSWhYpYzDPvlrYua2SLzd5yZfNFM3G05eR1iI+/3yE9aeAQDM3xuNbwa1Vj1Oz9fehlPX8cpcseZa/rmo1ciFoo78m38ewNb379StXcXNX3usJQGJiAINR5qLOcuFwQ+PtUHr2hE4MqqP4nEmk0nz9MBq5UqiStkwzHuho+5rqQmIS82yCZgB2wzc9tMEk51MMe727QafToXTemF7NkbbCI8kSUjPzkWXrzegw1frCn5XrZfPbo9IuzhcSx1uoxS2ybxqf5qEtGxk55mRlWtGisL/qqu3pQvx6Tq0ztbsnRewKH/NuDPy36nvhM3oNEY51wEgOg16jNuIO7/bhIz8euEnribjw4VHMGn9GayUJWabuP6s4jkyc/IwZOZuzNoWqfE38Y2EtGwMnbUHg6fvgtnbYXHVtRrKmz2pYS2fpbD+ZAyafrQCY1ecdPs8gTAD4HpyJtKzOb2ZiEhvDJoJAHB/m1pY/FoXlC0Zqut5G1ctgy8faKHrOcmRPNnOMzN3IzIuDVm5eVhx5CpajVrt9L4dvlyr6TFm71QerXZGksToWe/xm/DPvmibffLpsvILa1cXnjHJ1ozJBeWKfHSx6uq0kXFpPu508Jw8mMzNM+NSgv7Bo57OXE/B6RjP18/7y5XEDHy86Cje+uugy2Pd+ftlyMqX3fLJSvy5+yLu/mEL/th1EeNWn8aqY65H/v/acwkbT8Vi1JLjbjyy/m7Iypy5+z9sHyO70/kz6r9jaPPZalxLylQtB6dE/p7z7CyRbX7qpnNuPLI6XybUs3ctKRO3f7UOt3+5zm+PSURUXDBoJp97okO9goRhm4f31HSfR26r7bP2RI3tj+Of9/XZ+Y225Uwceo7biJs+WomX57ou85KWnVcwNfZyovI07zXHY/DxoqNut0WSgI8WHcWZ66l4Z8Ehm30DftxqPU5+H0iq5XVU1zQbOE16m5MM6EaSP4cvzN6Hrt9swMqjvq8J7qkJa8+gz/ebC0ZZCwTYkLmzmRv2zl3XvkbW/tf84N8jmu9rESgJlGxKStu9NOWzPXLzzDh6OclmdozWfGdKr/hZ26OQkpWLl+bsw80fr8SY5dpyEuTpPEScmZOHv/dFY9R/x9D801V4W0MHix4sdez1+j9wp+OhsElIy8bXK096vI6diIofBs3kV3UrlcLZL+/GuIeV16rt+vAuHB7VB98Mao1tH/hubVhQMcpEq0WTkSuw9UwcOo9Vnj76/O/u1fqV01L3+qwsuJAk9QvnnDyz7QV5/qWzr6ZFapnO7cv/JK8SnMkatv6kSJY1Y1uUdw3yA/ugVB78B0KZIXfao9YJpXheHd6T1NaFy0mShDXHYwpmHpyLTXXsqJC3y8s2yZ+jw9GJaPvFGvy15yIA0TEw4MetmLDujOzxtD1ickaO6vN/MP89Z9rm85rO5fUU8nyW9ny1/ATeXXAIs7ZHAQD+tZvKv+LIVUzfoq1tenJn2vZ/h67g5o9XYu4u92cYFQbv/X0IUzaeQ/+JW10fTEQEBs1kgJDgIAxqVxtRY/vj75c64cmOdXH2y7sRNbY/qpUriXL5U8RrlQ/H+a/uwZr/dSu479znOqBTw0o25zs1uh/Wv6O8djo8NBiTBotSW0M71y9IBBQabPuv//dLnRA55h7Vsllf3N/cs1+2EHnyV/XyV1pJkoTdsiQuV5IybNahnolJcTl64ezyNSdPwnOyAF7SeXa2w6iYhvv4sgPGq+nZOp7wSHQSzvlpRMb+b+Dq6dUaZOnFpl6y8TG8DUsSLWfWnbiO53/fi67fbMCOc/G467tN6D9xi67tkHcAyJcYvzHvAG6k5+D9f8Qo+t/5SzYmb5Ct0db453x57n689/dhr9sKQLc3EMtpfldJvGjx8tz9GL3sBI5Eq2d0z8rNw/Erybp1FO2NSkCzT1bhk8W2M4bm7b6I4QsOIc8sYenhK9iZn7zzjXkHAFiTnBUWWp8vS/36jCI8mk7ekyRJUzlEKh6YPZsMdVv9iritfkXV/UFBJjSpVtYm623nxpUdjmtYpQyixvZHTHImOnwl1nPtHHEXqkeI7MoDWtW0OT44yIQt7/VERk4emlYrW7D9k3ub4ZN7m0GSJJgl4GJCOupXKgWTyYRH2tfBjnPxuKNRZfT4dgOuJGUCACLCQ/HL07fh1T/2495WNTG0c310/WaD509KIbb08FW8nn+xBTgGFb2/34xmNcrh2S7Oa3o7C5TOujHl1V2eTEcMCgJupGWjbMkQhATr3A+pcv2nJVDUK5aPTcnCvZPEaIw/sk/bT7V3NtUX8H09aYfHk/2sZ8zsr19DnhH+v0NiBPS8rGa23rSM4jrreHI2Ar9gXzS+VZm15A79RprdOz4uLUt137BZe7H1bBzGPtgSj91eV/U4s1lCXGoWxq0+hYhw9Zwk41afAiAC+s/vF3lGcvPMGJG/DKB+5dL4dpU4xqgs896+BkYvPY5lR65i+RtdUaF0CZt9aVm5WHsiBl0aV0aFUiUCrsOLAtMLs/dhd2QCtr7fU/ecP1T4MGimIqVauZKaP/DrVFQvtWQymRBsAhpULl2wLSwkGD1uqgoA2D7iLmTnmrH/4g20rVsBJUKCsGdkr4JjLW3IyM7D9nNxGPab59ObC5NVx1zXGj5+NRnv2q1vtiGpr2m2l56dh5KhwTYXQF+vPIn3+92s6f72vltz2r4pLs3deRHPztqL1nXKY/GrnT16XHctP+J6bbLSc+jJ2u/oG/5NIGaf/FiPact6sh1pluDNpb4kSZAkYE9UgmKZKWcOXkpEmzrl3X5Mf4zMyx/h2JVk63aVv6V8s/yIx37egT1Rvq99rDXh9tHLSThzPQUP3Oq7nBsWW/NzJfy244Jq0Dxh7WnM2h6FCqVKINJFx4f93z03z4xOsuU4p67pk4QvMycPWTlmRJTyf4AxfavIGv/bjii81aupzb73/j6MZfnvmy1qlXMYkU5Iy0ZGTh5qlVcvCUeOYpIzMW7VKTzdqT5a1o4wujm6s5ReXHM8Bg+29f3rngIbg2YiD5UICUJHu6ni9sJLBOOuW6o5BPL7L97Ag5O3+7J5hpCXvvKUO2Fdn+83Y+9HvWyCwSkbz+F/vZri3/3RiE3Jwut3NSnYp3bRPnfXBXRo4DjjQUuQuS5/vbCWtdvuUnr8bWfjHJKqKdEr1vR30BoI65adsz4f6Tl5KOfh7IJjV5Lw5PRdqFi6BM7FpqFpNfeC5oE/bfNoRNDI6eXy/6TryZkFPwcHWffI22dfWs9X1J6H2JQsVCkbVnDbkrywcpkwdG1SBQCQnWuduul2p5SXz79lOr68eoIa+5fx1aRMxKZYR7qDdHiZS5KEmz9eCQA4PKoPypUMdbvmtb2k9Bz8eyAa9SuXRrcmVWz+V9yxTNbRePRyMsqWtL38bfvFGgDAgY97O4xSu8tsljBrexRuq18BrRRqy+spPjULZUqGID5VZKyv6eeg/535h7D1bBwW7Is2bIYCkb8waCYyQNu6FWw+YJIyclC6RHDB9N76HywzqmmGW3M8BleTMl0fCFGzGnC86L2cmFGQffjultXRuGpZ+7vaUFu3525QcSkhHc/O2uPenZxYfsRx5H7LGfVs3aP+O4atZ+Pw32udAy3ptGbOnnMjs6RbyIOPVqNW49dnbsNdt1Rz+zzDFxzGjfQc3MgPeE5rrFXuqdw8M4KDTC6nu+vh3/3Ritvl08DlJbvk07P9MRKenWvG6ZgUNK9ZDiaTSXV69sCftikmpNx+Lr4gaB6zwpqh2xfPp16dSK76voKcBKNms+SwPzMnD7lmCWXCrJeR8lkBBy4mwmyWMHTWHnw8oBmGyZbk5OaZ8cDk7WhUpTQmPHZrwXal3/S1efsL3vPe6d3UphPUG2pP67nYVNxWWn3JmBb/7I/G50tF2TelQNJslvDJf0fRtFpZPN2pvsePcykhHV2/2YCqZcNwPb8D5PTou73qpHDXmevGlglcefQa8swS+reqYWg7qHhgIjCiABARHmqzHjZqbH/sGdkL/72m33Tfrk0c14IHopPXUpCUob2sD+B8wOZSQgaOy6aIusOsdd5mvlH/HcMZH625jopLw9nrKU7rx87aHoWz11Ox+OAVxRFiSQJOXE3GA5O3YbvGUllGB99GP749+/Z85EEpNkC/dbSACGBGOClRlZqVi7ZfrNG1Q8eZievPujzmpGw6cJAJWHggGiP+PYx9F30/HfuVufsw4MetBdmt1f4WatnPp2y0vgZ/yz+HR/z4z+2qMyLYSVT9a/60Z4vIuDTc/PFKtPh0lU1Gbvn79jvzD+LNP0V+iy+W2tYN3x2VgCOXk7Do4BWX7ZZ3Ev66LdLJke6Rd0ZYsrkD+uQpOOliqvum07GYs/MiPll8DN+sPOnx46w7IaYOX5fNGNBaFzw2JQt/74su1GXFMnPy8NKcfXj1j/1uXzN4I/BnQ+nr+JVk3D9pa8CW1/QnBs1EAapK2TC0ql0eUWP74/CoPjjwcW+MHigSuHyukM170audsfcj67pqkwmoXSEcXZtURtTY/pg9rENBvewzX96NmUPa++138SWzWcKqo7YjsvLLv6Gz9uCeiVvQctQqtwOVK0mZDhfOzmqgprko6eLqw7b9l2tVA/we4zbi732XFffZy3MS7D8zYzcOXEzE4OnasqXrNTtb64WGs+zZSqeQbzt5zbPOEXfYd0YYef1kyVQ/Y1sk5u2+qHrcuhMxSM7MxYZTsciV/W9oGbnX8veXT1HWKiEt29oOCfjfX4cwb/clj87lrrUnLCXYIgse3xVLiS5d+fF/x/7vaH/b2bTnObsuYNf5eNw3aSsOXkpEz3EbC/adu26dPSA/Q1xqturSDk9fM3r2McjfIi3Z3AF9Xs+uziEP8CZvVO8Edfk4Ht9TfNa8u+AQxq7wPGgH/Fe9QOkzLVuW1dqdcmreWHr4CtqNXotd+Vnmi5qEtGyHZKtDZ+3GoegkPKHxmqEoKzTTs81mM7Kzs10fSE6FhoYiODjY6GaQmyxluJ7sWA9PdqwHAAXTuvLMEjJy8gqmyWlZVxQaHISeN1fF78/ejqdn7PZNo/3kxLXkgqQ5Fj1kF3UWKZm5SMl0/4O189j1NpnYnX1YOgtWd52Px6t/7Mfn97fAPS2Vp5LFpmTh3QWHsPzNror7nY0y21MK7iXYjkq4kpmTp9tF0dxd6kGdnCWQ23w6FmuOx+C1Oxtrfox+E7Zg94d3ISwk2GeJiOyfDSOnjD8ybQcOfdIHVxOdL2eQT3/+WVa7eP5e22nUm0/Hut2GubsuYOTCo5j6ZDv0a1Hd7fsDsClLpzfLbBGl6ceXEjLw7Kw9iIp3nT3cfhpqbp4Zq47F2ARfEkRZPW8cupSIr2Wjj77qlLEPaOXPT3yq7XuEJAGP/rwTAPDotB02+1KyrAGgfYwsf8o/+OcwPr23OcJLqF9/yO+elpXrUHdcz/wKah2orjr3ktJzsON8PO68uarqNOgZLkbE9euIdNwWl5rl1prsWdujMOq+wC2p+evWSFy+kYEZ2yLxdKd6BZnfAdeVFSxSs3Lx995L6NuiOmpEeLfm+7U/xOyJITP34MQX/bw6VyCyrO3f8G6PgkS4N9L8N4of6ApF0JydnY3IyEiYzayVpofy5cujevXqAZeVljwTHGSyWVfmjm5Nq2Dp611wNSkTv22Pcgg+Lb64vzn2X0zEwgPaRjr9qf/ErT5/jO/XnMaxq0koVSLEpg61PWeZfp+ZuRuZOWa8Mne/046N41eT8fmS415N33X3ntvOxqFcyVCH7KdTNp5DLyfrdWNTsrDjfDz6Na/uch3dn3s0Bs35jbd05rjK+2P/NnZ7fsm5bR/cqTkT7i+bz2Phgcv4/tE2AICbqpeFJEl4cfY+VC0XhtEDW6o+nqf0CoYuachurrXNWjrQjl9Jxq7IeDzdqT6Cg0wF+QBEh1BzVCkT5uIM+lpx5Co6NaqE8qWUA4X7ftqKzBwzVr3VDVeTMhzyJazPT+Tnin3n0e87LhSsW7WQJFFWT6u5uy5i/t5L+OGxWwtePw9M3mYXiOu1ptm2/fb/EvLX2fdrT0NNlt1MgMG/7Cp4P7MvHSZ/zD/3XELN8uF4464mmrrhmn+6ymGb2v3+2nNRMf+DM54+q4On78SxK8l4uUejgioNs3deQHau2WbdtieuJ2di0NQdeLR9HbzaU72zMC0rF58vOY4rSY7LBy4mpKNJNec5PJRcTszA8AWHMKxLA4ccDbl5ZizYF42ODSvZVBQBfFvy71JCus3U/t93XMBL3RsVJDu7EG9977P8PY9eTsKMrZF4p+9NBe//ny85hvl7ozFl0zns+tA6G88bZkmUelu4/zJmbovEXy92clqRpbDZd+GGw9+aCkHQLEkSrl69iuDgYNSpUwdBQZxR7ilJkpCeno7r18VFQo0aTJxAQItaEWhRKwK9m1k/KK+nZKJ8eAmEBpuQkpWLciVD8VQnoFPDSjgYnYg/NI4aFhV/7b3k9Tkyc7R3+rkaqZDLzjMjzyzZTK9crVL6y37qtyRJuJqUWTDtyj6YP3UtxWnQPPCnbbicmIE37mqCzo0qISYlC/e1rql4rNYRa/uL2d92XHB6fG6e8vO6+tg1DO2s7SL2y+UimVPfCSLg2fp+TyRn5GJ1frkRm6DZ7vcwennb/L2XXAZWeswWSM/OxaztUfhmpajlGxocVDDrBRCzLNQS6vnSy3P3O91/9LL4n7+SmIGu32xw+/x/74tGSmYOPltiGyBvOOUYbMelap/FAQBr89ekrvhoBR5qWxvfPdJac/krd9n/BzhM15YdkermjJz5ey/hwVtrOTyI/WNeVQjy3KEWoMmnV2um8jy7evotJdQWH7iM9/vdjKzcPHycn9fg/jY1Udmu0+iffdEwSxIevq1OwTa1uuQT15/BxYR0fLvqlNOgefLGs6qfSZ6+H3347xFsPxeP7efiETW2Py7Gp2PCutN4qXsjbDkTVxC86pUhW5IklwM3SuuUD15KRM3y4cjNMxdks7ecD7BmuD8fl4ZF+SUgN+XPoIlJdu/16UxWrhm3jV5bcPvrlScxaXBbh+MKEjAWskEqPVq7NyoBNcqHF6kybroEzbNnz8bIkSORkJCAjh07Yvr06ahfv74ep0Zubi7S09NRs2ZNlCpVdHpxjBIeLv55r1+/jqpVq3KqNimqWrZkwc+WqeEA8Ej7OnikfR18ObAFkjJybEZ3eny7AVHx6WhUpTTOxbqe7kj6uOu7TQCAt3tb65KqZdjOsEv68vgvO3Hssvo6YAmSzYXqU7/uwicDmhWMZFjWe68+dg0T14nyN9XKhuFCQjpqlw9HvcqlCz4wtV4zOJseqbRHLaj2Jpg9cTUFVctqGzFVe5hFfpqV8buTTgXLhamW514t4/W52FR8vfIkriZm2CRu+mjRUb9m6fWWJwEzANWa8s6y2CuRJAlrjsegeS3lWrb/7I9WHKk8HZOK2Tui8JQHWZaTM3Mw+Jed6N+yps3/QHauGTvtlpnIR5rVgjo17/19GKmZuWhYxX4U0r42tPMXpYYV9m61y5lslc42re8blsPkv5P9KDyAgvKAfZpXR0S4+CxVe3pdPT8WV1wsx/BEfJptQDl01m6ci03DiiPX0L1pFV0f68OFR7DrfDyWvt7V6XR9NWaz5PD3s/+7ydflyjuEMnPykJNnRtmS+i7fUZoZlp1rRrdvNqBG+ZJY+Ip+SV3lcvPMNklkfcKDl93Ry0kYNFUs5ShKpci8fqbPnTuHkSNHYtGiRTh+/Djq1auHIUOG6NA0IS9PXOSVKOFd3TyysnQ+5ORwnQJ5xmQyOUyH3Di8J6LG9se6d3oUJBxTKtdCQlyqyF6ql/Fr1KdUqtl5PsFmPeneKOd1cbecicNQFxmYH/15J977+zAGT9+FzmPX46ybJUmcXTa6kyTqYkK6x4GrJEmq0+PtL3jVLrLlJZXkzseKizlfr4W+kpiBTmPW46cNZ3HyqusEaW/PVw4OLyVkYMrGc4qZjt/7+7DX7Swulh+5hhdm70PnsetVjxnxr/Lz+fHiYwDEzI8np+/CvguuM4yfvZ6K6VsicfRyMr5eedLmuvfzpcfwv79s/942a77t/8c1/K/ujkxQmJ5te8yC/Pc7+Si9PHuzPDmcEndH8n3J8rqXv084iy2ycvNkxykfqbWvwtlhnr6r2LfJ0vGdkZOn2q5X5+7XXB5S7o9dF3EuNs2mdrZWUfFpaDd6DX7a4DxDf2pWLgZN2e6QHPK20WvRctRq1dwkuXlm/L4jCqfsMqAvP3INkXHuDQYcuZyEa8mZOHAx0a37yW05E4tOY9YhWmEZzmdLjqHZJ6twIT4N607E4ONFR3VLpOjtwLh8FkBR4vVI84EDB9CxY0e0bSumJQwdOhSPPPKI1w2zV9imNgQyPpfkL7XKh+PgJ71xIz0H9SuVsvnfu5SQjrTsXFxLysSQmf4phRMoHv95J3YEYPZNS8+wxapjMVh1LMZmW/SNDMSmZGkutbP2xHX8uP4sDkcnaTre2UjzRTcyGM9SaN+iA5ex+OBl/PD4rTYzKOyZJcnmAmn5katoWq0MGlctix/yR9Q99dCU7XjtziY+r8v83erTuJaciW9XnfLp45A2v+2IcnlMVLzz/+9nZuzGteRMbD0b53L0ptf4TXi+q3XkWv7eO2en4/IaPWplO075VvbLFuvyk67fbMCekZ6tM91/8UbBdGm9aO3MshwnP9rZpZX8OfXlJZgvyiHJ/zcS07Px0JTt6Ny4skdBr5yrvB1Kz5NlechPG2yTYiqdau+FGxg2a6/NeSwJMh/9eafia2jenkv4JL+TSr5/7YmYguUUvhKTnInv15zGkx3roUX+jJSnfhV5Jrp8vcGhvTO3RQEAftpwtiCpY/3Kpb1eWw949z96PUX/mRCBwuuguVmzZli/fj0OHDiAhg0b4qeffkLv3r31aBsRFQHlS5VQTNJjSZpxc/VyiBrbH0npOWj9+Wp/N88QgRgwu6P9l2ttbjurSzpv90WbhC1Gsoz+/rT+LIb3vQkmk8lhyjoAvDTHdp3sK/nrZmcObe/17IAb6TkOdWt94R+V6dZkDGcJBC1c1Zq9lmy9GNUyg0M+g9XVNbCzklOXElyvRTaZnJeLUxPrRjZ/ew9O3u7xfdWsyB9RfKx9XafPieV3lf/OJpiw45zye7urhIaWM1ici01FoyplXB2mG6d/K9m+GVsjcS42TdMSrNw8MxLSs22We8n5o95xbGoWKrmRTfyoxs5de0odTe4Gnv/76yC2n4vHn3tEjoBb61Ww2R+TnIn3/zmMpzvVw503W3ONyJ/Ga17mDbD4bMlxDGxTCyaTye3R66Kcs1nz9OyBAweifPnyDl/r16/HoEGD0LZtW5QvXx67du3CuHHjnJ4rKysLycnJNl+kTVRUFEeKqUiKKBWKrk0qG90M0pm7AXPfCVvcntLtrt92RKHxyBVo9OFytFDI0qtmqOKMCP9mAhve9ya/Ph4FhrfnH7S53Wu86yzd8pJNri4b5KOJntY7z7MLgnxVw/d6ciZen3dAvR1eZFObvVOUUPvHRefY9ZQsTFp/xublv+HUdTz+y07F4002I/nK5H8jS64Kd/kikZy8vbluPMCgqTtw+5frcPSyciDqSVvV/o9n74xCUrpjp5MkSW79F3p7eZ2da8am07Ee1Y0+LStX9++BywUJ5iw+WXwUG0/F4tlZe222y59GLf0Qp66loN+EzZi9Uz0fRmJ6jmoHUHGmOWieNm0aDh486PDVqlUrLFmyBLt27UJKSgoef/xx3HPPPU57kMaMGYOIiIiCrzp16qgeW9j16NEDs2bN0u18devWxY0brtczERVGU55sZ3P7xW4Nce6re7BjBNdGFxd5ZklTQOANdzKZuxKXKtZhnrqWgn/2RUOSJNXkUXoI0TZkRUXMv/vdX59ve1Hs/P9GPuLryZTndSevO3QqyUfGLbwJaAExGv/Bv0ew5JDjGnuLH9db17tKkoQhM12XUnM4xwbXyzDGrT5tM517jpMgxGbJuE9fwurP71fLT+C53/YU1C7Xyibg19j2uNQsHLyUCACqpSo9KasYrNKAX7ZE4rV5jpn0Jcm9JYneDkp9tfwEnpmxG2/MO+AyWF97PAZHZCPbrp4OtVkZ8vu5+tNm5uSh74TNOHktxSEot5ec6Vneo6I8rqd5ena1asplR3744Qc89thjuP322wEAo0ePxtSpU3Ho0CG0adNG8T4jRozA22+/XXA7OTm5SAfOegoKCkL58uWNbgaRT5QJC1FcZ1QjIhxRY/sjJTMHMcmZaFSlDN766yDiUrMw97mONsduOOV48UbkS8mZOQXlqiZtOOt2whh3FOULEvIdV+sxvZ3Or3UK52SFBE71P1im+XHu/XGrW0n0rqdkYeOpWM3HW8inpGfnmjFx3Rl0v8kxi7Q8SHHW2WA76m77Ir5/0lb89uztToOsjOw8bD4Tiy6NK2PVUfWa1M4Cr583nwcA7HaR8NGevF1aM6tP22Rdc6x2j5ELj2Lw7XXdClSdjXQrZbR3Nyz3+P01/36/5+cuWHviutOyYWdiUvDc72LE2HLN46qtas+T/PXg6rWR7GIJiM15PezfKsofUV5nz87NzUVMjPXNOCUlBWlpaQVZr5WEhYWhXLlyNl9aSZKE9OxcQ77cWX/x0ksvwWQyYdOmTRg6dChMJhNeeuklAMCQIUMwatQozJkzBzfddBMmTZpUcL8tW7agTZs2KFWqFNq3b4+jR217gpSmZ2/cuBH169fHf//9h3r16qFChQqYOHGi5rYSFRZlS4aicdWyMJlM+OGxWx0CZgDoeVNVRI3tj7Nf3o0lr3XBwU96I2psf2x9v6cBLabioNUo61p8XwbMRIXddx5k+Ze7mJCuaY21pRzedS9r8/62PQpNP1qBSRvO4mG7RIkAMCa/xrsrlhJJM7ZG4qU5+2z2HYpOwuSN5xQy84trTrNZwsiFR/Di7H14888DSMtWv74et/pUQbIr1bYodHA4S9ToJLG6Dfn0Yvl6+iAns2PkpaHkYpIzcVGHXBjurpvWcyKPUgkyC08+J1SbJvsVXf66RTmi9QOvE4F17twZzz77LL7//ntUq1YN06dPR7Vq1dCqVSs92ucgIycPzT7RvgZNT8c/74tSJbQ9Zd9//z3Gjh2LAQMGYPDgwRg8eDDCwqx1P1etWoXVq1dj/PjxaN26NQDAbDZj0KBBeOONNzBs2DCMGTMGw4cPx4oVK1w+Xnx8PMaOHYtly5Zh/fr1GD58OJ5//vmCusxExU1IcBBa1rbWRK1doRQ2D++Jbt8q12s9+ElvZOaYsf1cHP7ccwkD29TChwuP+Ku5Dpa+3gUXE9ILklARAb5bJ+oLL/dohHf73IRGHy632X5/m5r44O6bUSNCfD6lZuVi9o4LWH38Gm6rVwH1K5dGx4aVChIhZWTn4ZZPVvq9/VR4dR67Hgte6qQY6GqlZQR8gcbEgO8uOIRXejTC5ypJAFMyc5CdaxvxtBu9Ft8/2gYj/jmMK/mlndaeuK509wLnYtPw9YqT+GJgC2Tm5CEuNQu1K5SyOcZ+WrSlg0FNjnx018lQbJ/vN2PHiDsLXtca7qKYiBEAOny1zmmbtHJ7pFnH99fHflZe3w4ojxq7CvDVnkd3fkd3fj+PF1IUno8ot3kdND/66KM4deoUJkyYgKtXr6JFixb4999/ERqqb+HwwiY8PBzh4eEICQlBqVKlHKZUnz9/HqdPn0ZERITN9kOHDiEiIgKHDx9GSkoKTp/W1iubmpqKKVOmoEWLFmjatCnefPNNXL9+HfXq1dPrVyIq9OpWKoXDo/rg0KVEdGlcWfGD68G2tfFg29oAgEfb10GQyfEDTpIkxCRnoWrZMMzYFonRy5RHG8qGhdjUQXZHi1oRaFErAue/ugcmkyiv8tAUcQG49PUuRbYOIjnnyTpAf1n2Rhf0n2j9v3y3z00IDjIVTD/Mys1DieAgh9dTmbAQvNyjEV7u0UjxvOElghE55h78u/8yNpy6jha1IrD2eAwmP9kWKZm5WHM8BmNXnPTq9UZFjzcBs942nY7FptPq08Tn7b7ksC0hLRvPzHB/PfbsnRfQoWFFfLXsBK4kZeLfV+7Al7LPqMV2Ndevugialx22lpZyFQ+dupaCY5eTceyKdeTaBBMysvMQXiLY4fj3/xEd04tevQNhIY77vSXWNCvvM5slvP/PYSzYF42lr3dBi1oROKyStMwVV8/LqP+OYcOp6wWJMeXl4DQ/hoa5454G3srn0n5sceF10GwymfDpp5/i008/1aM9LoWHBuP453398lhKj62Xp59+2iFgDgoKwvjx4zF9+nQ0bNgQ9erVczrNXa5ChQoFI9YlSoj0+v5I509U2JQrGYquTRzXpilRKzliMplQPUKU0Xiua0M817Vhwb6UzByUtasBfDE+HVvPxqmOXHdqWKmgDNWGd3ugQeXSBfssU9va1atos947amx/SJKEBfui0axGuYKSLyVDg1CnYinM2haFQ9GJWH5Eff0bFT5/7XW8uA4Elv/NqLH9YTZLMCl0NnlzUWwymfBQu9p4qJ3o0Hqpuwiwq5YFGnUvU3AbAP7dH40P/jlSMCVWqyOj+qDlqOJR9o6Kttf+sGYXty/NZZ+Ya5AbnQuugq7FB684nH/b2ThMzV/j/N3DrW32nbgq1oFvOHkd/VrUQHp2ruqUbU/l5ilfCzeUzYAZ8ONWRI3tj0P5ycs8ZVKqvQZg1vYom9vyWuWaz63hmBNOyj9qPQep8zpo9jeTyaR5inQgCAoKUgxeS5cu7bBt48aNmDJlCs6ePYtq1aph+fLl2Ldvn8NxStxZF05EvmMfMANihHtwpboY3KGuro9lMpnwyG3KSRRf7K48amex6tg1vDjb8f1l3MOtcW/rGggLCUZKZo5DENGsRjmMebAldkcmoHLZEujWpAqSM0XOh3qVSiM4yIR9F27goSn611B1R+s65b2+AApE5zXUR/W3nSPusrntbA2jP1hmi5jNErLzzAgymVAixDaFS0xyJp6ZsRvlSoaiVoVwjHu4tc2ouEVOnhkL9kY7dHi1r18Be6Ju4I27muDl7o3w2h/7EV4iGM1qlsM3K0/5/Hck8pX4VPV14PJ1y0o2K4ymH5GN3r6jUlnAcpn82M87na6v9oRSFnclq49538Hsy8Eq1enZssfcHZmA1KxclAlTjpPcSbrmTsK94qLwRJ+FVOPGjbF27Vr069cPx44dQ8+e6smIUlNF71pSUhLOnj2Lt99+m6PFROQTfZtXtwkQsnPNDoFF2ZKhitnMARGUWlQqE2azr129Cjj6WV9MWHMa07dae9SH970Jw7o0QMnQYFxKSEeF0iUKPtxPXE1GTp4Zh6OTkJCWjbtuqYomVcvCZBJlltKy83AjLRtrjsfgUHQixj/SBsFBJlGHU+VC4NiVJHy86Cj2X0x056kJePe0rG74DILP72+OpzvVN7QNrgQFmVAySHl0u1q5klj5VjeX5wgNDsLgDq47vH4d0r7g51d6qGfNtbB8tueaJQSbTDajXkRGuq5S2ggA4vNL7KlJSHe+X83ig1fw36ErugfM7nhBoRPZXd5UVHOdw8v6OXcpwZokzf5+Q2bsxt8v36FyDjfao+F3yc0zIy0rD5dupKN5zXIwmUyFKu+Guxg0+9jHH3+Mxx9/HA0aNECdOnVw/LhyEggA6NevH+677z60bdsWDRo0wPPPP48PPvgAMTExqiW/iIj0YB8we6tMWAg+GtAMHw1opri/TkXb5DS31BCzZVrVLq96vjJhIXi2i+1aMGc9581rRuDfVzoDAM7HpqJuxVLIkySX04RjU7LQ/su1To8x0uQn2qHFp6tcZsn1xoo3u+LuH7ao7u/RtKrPHrs4sPzfhgaL75bOqYzsPBy/mlSQv4DI35y97ndFOi9X5ek4z0odRnn1dj1F2wg14F1955nbIjG0cwOXz538Id780zr93v5+ey/c0HQOcV8JX688hUZVSuNhu1lrSs2RJAnrTlzHTdXLok7FUrhn4hacjhEDfl8+0AJPdCjaeZQYNPtYnTp1sHWrbcKeWbNmKR4bEhKCuXPn2mx75513bG7Xr1/fYfS5R48eiIqKstnGEWoiIquG+ZmYtXzoVSkb5jDCLkkSEtNzUKF0iYJt8alZ+HH9WdSvVAq/77xQMHW6UZXSaFy1DFYdc14b1xtHPxO5Pa4kZuCOset1Pff5r+5BUP5U5ed+26tY47dupVIK9yRvhZcILshfEJuShfOxqbi5ejmMXXkS83ZftDn2+Od9kZGdh+d+34tet1RDoyplbMoZtawVgZBgEw4UsZkWRP5w+5faM3hn5uRh6Ez3k7YBwGdLjiMmOQtJLmooywNe+ewpb7Jn7zyfULDevGm1si7vv/7kdZv60paAGQBm77iAxlXK4FEnWcMLOwbNRERELphMJpuAGRDT0kfd1xwAMKSz82yo15MzsSsyAa/PO+D0OFe+HWRbzrFm+XAc/7wvBvy4Vbf1zvI1ydOfuQ1zdl7A+pPXsf7kdbSuHYGF+aP35FtVyoahSlmx9GHMgy0x5sGWDseUKhFi8/dQW05hYTZLWHH0GracicXBS4moVq4k3ut3E2pGhONqUibKlgxBrfLhuJCQjss3MvDkr7sAADUiSmLOcx1Qq3w4Zu+4gC8V6hN//VBLDGpXB1vOxKJK2TCbTOpKfn/2djztQXZookCz5rh3HaSWwNWZuBTlqe/yqdou2Y00y7Oc3//TNpd335mfsFTJqZiUIh0wA4BJCoAhyeTkZERERCApKckhoVVmZiYiIyPRoEEDlCxZ0qAWFi18TomIjCNJEiQJuGfiFpy8loJODSuhd7NqqjVcLcY/0rqgHJqanefjUSYsBOElgrFw/2VM2nDWrbZVKRuGPSN7uXUfIjXRN9Ixaf1Z1K1UCk92rIeUTJGkKCLcNmFiZk4eQoODHCoW5OSZERochIzsPIxcdAT/7rfNzOyutnXL481eTdG9qaigsOVMLObsvODTWSFE/vblAy2w+XQsBraphbtb1ijYnpyZg1ZuVAgoXyoUienWEfBnOzfAjG0iT8moe5th1BLnn1mA6468QOAsDpVj0FwM8TklIiocnCU68+RcyZm5iAgPRf0Pltns2/huD9SuEI6QYH3XthP5Q1J6Dlp/LoKB57o0wMBbayEk2ITaFUoh2GRSrBHszJmYFPT+frMvmkrkV4/fXgflSobi5R6NsCfqBp7Pn17tLwyadcag2b/4nBIRERG5lpWbh4xsMRJ+8loy2tatgLjUbJQvFYo9kQkYPH0XujSujAdurYX/Dl3BJruyS/1b1sDuqATEOslKTVRU7fuol0OFjUCjNWjmmmYiIiIiIgVhIcEFGffb1asIAAVrze9oXNlmJO2hds6XTwBiDWrXbza4PG7xq51hliQ8MNnYmvdE3pi47gw+u7+F0c3QBYNmIiIiIiI/qFOxFE6PvhtBJiA1KxebTsfizT8PFuz/aXBb9G9lXYcaNbY/ktJzsPlMrNNEgqdG98P8PZcQm5qNJzvURWRcGq4mZeKuW6ri40VHsejgFV/+WkSK4tI8q90diDg9uxjic0pERERUPM3fewn/7ItG5TJhWHbkasH2N+9qgh/WnfHonE90qItD0Yk4ejkZ2z64E1XKhGHiujNuJyOkoqVOxXBsee9Oo5vhFNc0kyo+p0RERESkJs8sISfPjJKhwTCbJZyNTUWf/ORoL/dohEduq4MGlUvDbJZsytS5OufeqAQ899tepGTlAgBmD7sde6JuYKKTYN0yBT4hLRttv1jj8nHe6tUEg9rVRqXSYUjLFhnbLydm4K7vNmlqJ+kr0JOBMWguxKKiotCgQQMo/Wmc7dN6THF8TomIiIgoMF2MT0e3b8Va75lD28MEoF29CigTFuK0goAnFQbSsnIRm5KFI5eT0K1pFaw6dg2ta5dH3YqlMGt7FMqFh2DWtijkmiV0bFgR0TcyUL5UCfz4+K1YefQaXp+3H/Oe74h3FhzChXg36iQXUwyadcSg2ZazoNdsNiM5ORnly5f36P5A8XxOiYiIiIh84VpSJtKzc/Hpf8cQn5qN41eTXd7nj+c7YOTCo4iMS/NDC41TVIJmJgIrZIKCgpwGzERERERE5D/VI8Qg1OxhHRz2ORsN3/BuDwDA6mPX8MLsfR4//j0tq2P5kWse399XypYsOqFm4ftNJAnIMWgqRGgpQOMUkLlz52Lq1KnYsmULACAxMRHVq1fHpUuXcPLkSbz++us4ffo0mjdvjpkzZ6JFC23p2NVGkZcuXYq33noLN27cwOuvv+7e70VERERERLrTMn28T/PqBSOySRk5KFfSOi39wMUbuKVGOZQMDXa4n1pA/t3qU/hxvXtJ2D4Z0AyP3V4HM7ZGomLpMMzeeQH1KpbC1Kfa2RxnNktYcfQamlQrgyZVy2D5kWuoWi4M7epWwNerTmLapvMFx4685xa32hDICt/07Ow04KuaxjT0wytAidKaDk1OTkaNGjVw+fJllC9fHgsWLMDkyZOxbt061KhRA2+88QaGDRuGMWPG4PTp01ixYkXBfd1d0xwTE4OGDRtiwoQJ6NmzJwYPHow9e/ZwejYRERERUTGWnWvGkctJaF07AtE3MlCvUim314EXZVqnZwf9v727D63x/+M4/jo322y/mY3fCLv5bU3YH8o0WyOliNx9YxT5A2XIn6QUy20hLP7gKMKSScqI3C2jJFb7hqzJzRibaS1hx2Y37PP7Y+380q/rON/te77XOc7zUeeP6/qUvdPn1dlr13Wu8w/OFFESEhI0ffp0VVT0PuXvxo0bKiwslCQ9efJEGzZs0Nu3b+X1evXixYsB/awbN24oMzNTRUVFysrK0o4dOwY8PwAAAIDwFu12alJ6ktwup/7z739RmPsp/G7PjorrveJr18/+CxYvXqzr169ryZIlqqio0M6dO+V0OlVSUqITJ04oMzNT6enp+vHjx4DG+vDhg1JTU33HmZmZA/r3AAAAAAC9wq80OxwB3yJttz/++EPbtm3T06dPlZKSotGjR+vu3bvyeDx69eqVRowYoWvXrunPP/v/wX9JGj58uJqa/veHhHfv3g10dAAAAACAuD07qJKSkjRu3Djt2bPHd2v2169fJUlfvnzR/fv3tWHDBr/fuRyIWbNm6fnz5yotLVVdXZ22b98+0NEBAAAAAKI0B11hYaHOnTunRYsWSZJmz56tBQsWKCcnR+vWrVNRUZGamprU3Nzc758xevRolZWVaceOHZo6daqmTJnyd40PAAAAABEt/J6ejQHj/xQAAABApOPp2QAAAAAADBClGQAAAAAAC5RmAAAAAAAsUJoBAAAAALAQNqU5BJ5X9tvo6emxewQAAAAACAtuuwf4laioKDkcDrW0tCg5OVkOh8PukcKWMUZdXV1qaWmR0+lUdHS03SMBAAAAQEgL+dLscrmUkpKixsZG1dfX2z3ObyEuLk5paWlyOsPmRgMAAAAAsEXIl2ZJio+P15gxY9Td3W33KGHP5XLJ7XZzxR4AAAAAAhAWpVnqLXsul8vuMQAAAAAAEYT7cwEAAAAAsEBpBgAAAADAAqUZAAAAAAALIfGZ5r7vYG5tbbV5EgAAAABAJOjrn3191EpIlGav1ytJSk1NtXkSAAAAAEAk8Xq9GjJkiOW6w/yqVv8Denp61NTUpMGDB4f0VyG1trYqNTVVDQ0NSkhIsHscwDZkASAHQB+yAJCDcGWMkdfr1ahRo+R0Wn9yOSSuNDudTqWkpNg9RsASEhIIAyCyAEjkAOhDFgByEI78XWHuw4PAAAAAAACwQGkGAAAAAMACpfkviImJ0bZt2xQTE2P3KICtyAJADoA+ZAEgB7+7kHgQGAAAAAAAoYgrzQAAAAAAWKA0AwAAAABggdIMAAAAAIAFSjMAAAAAABYozQGqqalRbm6ukpKStGnTJvH8NISzy5cvKzMzU263W3l5eXr27Jkk//s8GGtAKJk9e7ZOnz4tiSwgcm3evFnz58/3HZMFRJIzZ84oLS1N8fHxmjFjhurr6yWRA1CaA9LZ2an58+dr0qRJqq6uVm1tre8XKyDc1NXVadWqVdq7d6/ev3+v9PR0rV692u8+D8YaEErOnj2rmzdvSgrOficLCAc1NTU6evSoDh06JIksILLU1dVpy5YtunTpkmpra5Wenq6VK1eSA/Qy+KXy8nKTlJRk2trajDHGPH782EyZMsXmqYD+uXLlivF4PL7jyspKEx0d7XefB2MNCBUfP340I0aMMGPHjjWnTp0iC4hIPT09pqCgwBQXF/vOkQVEkgsXLpglS5b4ju/du2dGjhxJDmCMMYYrzQF48uSJ8vPzFRcXJ0maMGGCamtrbZ4K6J958+Zp3bp1vuPnz58rKyvL7z4PxhoQKjZu3KiFCxcqPz9fUnD2O1lAqDt+/LgeP36sjIwMXb16Vd3d3WQBESU7O1uVlZV69OiRvnz5oiNHjmjmzJnkAJK4PTsgra2tysjI8B07HA65XC59+vTJxqmAgevq6tKBAwe0fv16v/s8GGtAKLhz545u376tffv2+c6RBUSar1+/auvWrRozZowaGxtVUlKiadOmkQVElOzsbC1evFg5OTlKTExUVVWVDhw4QA4gidIcELfbrZiYmJ/ODRo0SO3t7TZNBPw9tm7dqvj4eK1Zs8bvPg/GGmC3jo4OrV27Vh6PRwkJCb7zZAGR5uLFi2pra1NlZaWKi4t169Ytff78WSdPniQLiBgPHz7UlStXVFVVJa/Xq2XLlmnOnDm8J0ASpTkgQ4cOVUtLy0/nvF6voqOjbZoIGLiKigodO3ZMZWVlioqK8rvPg7EG2G3Xrl3Kzc3V3LlzfzpPFhBpGhsblZeXp6FDh0rq/cPRhAkT1NHRQRYQMc6fP6+lS5dq8uTJio+P1+7du/X69WveEyCJ0hyQ3NxcPXz40HdcX1+vzs5O35sLEG5ev36t5cuXy+PxKDs7W5L/fR6MNcBuZWVlunz5shITE5WYmKiysjKtX79epaWlZAERJTU1Vd++ffvp3Nu3b3Xw4EGygIjx/ft3NTc3+469Xq/a2trkdrvJAXh6diC6u7tNcnKyKS0tNcYYs3btWjNv3jybpwL6p7293YwfP94UFRUZr9fre3V1dVnuc38Z6O8aYLeGhgbz5s0b36uwsNDs37/ftLS0kAVElI8fP5ohQ4YYj8djGhoazOHDh01MTIx5+fIlWUDEOHfunImNjTUlJSXm7NmzZvr06SYtLY3fj2CMMYbSHKDy8nITGxtrhg8fboYNG2ZqamrsHgnol/LyciPp/15v3rzxu8+DsQaEkhUrVphTp04ZY4Kz38kCQtmDBw9MQUGBiY2NNRkZGaa8vNwYQxYQOXp6esz27dtNWlqaiYqKMhMnTjTV1dXGGHIAYxzGGGPrpe4w8v79e1VXV6ugoEDJycl2jwMEhb99How1IFSRBaAXWQDIQaSjNAMAAAAAYIEHgQEAAAAAYIHSDAAAAACABUozAAAAAAAWKM0AAAAAAFigNAMAAAAAYIHSDAAAAACABUozAAAAAAAWKM0AAAAAAFigNAMAAAAAYOG/stpOyjd3T2YAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 1200x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mtl_tsmom.get_loss_score().plot(figsize=(12, 6), title=\"Loss Score\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x213b74bb7c0>"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1800x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "strategy_frame: pd.DataFrame = mtl_tsmom.get_backtest_returns()\n",
    "strategy_cum: pd.DataFrame = ep.cum_returns(strategy_frame)\n",
    "ax = strategy_cum.plot(figsize=(18, 4), y=\"MTL_TSMOM\", color=\"r\")\n",
    "strategy_cum.plot(ax=ax, y=\"Benchmark\", label=\"Benchmark\", ls=\"--\", color=\"darkgray\")\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "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>MTL_TSMOM</th>\n",
       "      <th>Benchmark</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Annualized Return</th>\n",
       "      <td>0.060920</td>\n",
       "      <td>0.095707</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Cumulative Return</th>\n",
       "      <td>0.242135</td>\n",
       "      <td>0.398124</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Annualized Sharpe Ratio</th>\n",
       "      <td>1.036115</td>\n",
       "      <td>0.617428</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Annualized Sortino Ratio</th>\n",
       "      <td>1.554689</td>\n",
       "      <td>0.869483</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Max Drawdown</th>\n",
       "      <td>-0.060737</td>\n",
       "      <td>-0.221324</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Annualized volatility</th>\n",
       "      <td>0.058745</td>\n",
       "      <td>0.172100</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                          MTL_TSMOM  Benchmark\n",
       "Annualized Return          0.060920   0.095707\n",
       "Cumulative Return          0.242135   0.398124\n",
       "Annualized Sharpe Ratio    1.036115   0.617428\n",
       "Annualized Sortino Ratio   1.554689   0.869483\n",
       "Max Drawdown              -0.060737  -0.221324\n",
       "Annualized volatility      0.058745   0.172100"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "strategy_frame.apply(lambda x: get_backtest_metrics(x)[\"metrics\"])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 超参"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "寻参空间\n",
    "\n",
    "[![avatar]()](https://github.com/hugo2046/QuantsPlaybook/blob/04bb714d9f4af2d6489407b8564926685f69a24b/D-%E7%BB%84%E5%90%88%E4%BC%98%E5%8C%96/MLT_TSMOM/img/table_1.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "from src.optimize_multi_model import optimize_multi_hyperparameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "[I 2023-08-08 21:45:33,747] A new study created in memory with name: no-name-acfc88e5-cc6c-4a98-9631-e3b0cbcfbf3d\n",
      "[I 2023-08-08 22:13:39,039] Trial 0 finished with value: 0.17481300234794617 and parameters: {'lstm_layers': 4, 'mpl_layers': 2, 'hidden_size': 128, 'ff_hidden_size': 128, 'lstm_dropout': 0.05, 'mpl_dropout': 0.2, 'max_grad_norm': 0.0, 'lr': 0.1, 'optimizer': 'Adam'}. Best is trial 0 with value: 0.17481300234794617.\n",
      "d:\\anaconda3\\envs\\qlib_env\\lib\\site-packages\\torch\\nn\\modules\\rnn.py:71: UserWarning: dropout option adds dropout after all but last recurrent layer, so non-zero dropout expects num_layers greater than 1, but got dropout=0.05 and num_layers=1\n",
      "  warnings.warn(\"dropout option adds dropout after all but last \"\n",
      "[I 2023-08-08 22:36:55,598] Trial 1 finished with value: -0.1423977017402649 and parameters: {'lstm_layers': 1, 'mpl_layers': 4, 'hidden_size': 64, 'ff_hidden_size': 64, 'lstm_dropout': 0.05, 'mpl_dropout': 0.05, 'max_grad_norm': 0.0, 'lr': 0.0001, 'optimizer': 'SGD'}. Best is trial 1 with value: -0.1423977017402649.\n",
      "[I 2023-08-08 23:09:43,374] Trial 2 finished with value: 0.06650356948375702 and parameters: {'lstm_layers': 4, 'mpl_layers': 4, 'hidden_size': 128, 'ff_hidden_size': 256, 'lstm_dropout': 0.15, 'mpl_dropout': 0.1, 'max_grad_norm': 0.01, 'lr': 0.01, 'optimizer': 'SGD'}. Best is trial 1 with value: -0.1423977017402649.\n",
      "[I 2023-08-08 23:35:49,296] Trial 3 finished with value: -0.4661749601364136 and parameters: {'lstm_layers': 3, 'mpl_layers': 4, 'hidden_size': 64, 'ff_hidden_size': 64, 'lstm_dropout': 0.2, 'mpl_dropout': 0.1, 'max_grad_norm': 0.01, 'lr': 0.01, 'optimizer': 'SGD'}. Best is trial 3 with value: -0.4661749601364136.\n",
      "[I 2023-08-09 00:07:00,946] Trial 4 finished with value: -0.6393474340438843 and parameters: {'lstm_layers': 2, 'mpl_layers': 2, 'hidden_size': 256, 'ff_hidden_size': 256, 'lstm_dropout': 0.1, 'mpl_dropout': 0.1, 'max_grad_norm': 0.1, 'lr': 0.1, 'optimizer': 'SGD'}. Best is trial 4 with value: -0.6393474340438843.\n",
      "[I 2023-08-09 00:07:02,040] Trial 5 pruned. \n",
      "[I 2023-08-09 00:07:03,314] Trial 6 pruned. \n",
      "[I 2023-08-09 00:07:04,900] Trial 7 pruned. \n",
      "[I 2023-08-09 00:07:08,072] Trial 8 pruned. \n",
      "[I 2023-08-09 00:44:34,910] Trial 9 finished with value: -0.7249398231506348 and parameters: {'lstm_layers': 4, 'mpl_layers': 4, 'hidden_size': 128, 'ff_hidden_size': 128, 'lstm_dropout': 0.2, 'mpl_dropout': 0.1, 'max_grad_norm': 0.1, 'lr': 0.001, 'optimizer': 'Adam'}. Best is trial 9 with value: -0.7249398231506348.\n",
      "[I 2023-08-09 01:10:02,889] Trial 10 finished with value: -0.7745277881622314 and parameters: {'lstm_layers': 4, 'mpl_layers': 1, 'hidden_size': 32, 'ff_hidden_size': 32, 'lstm_dropout': 0.2, 'mpl_dropout': 0.05, 'max_grad_norm': 0.1, 'lr': 0.001, 'optimizer': 'Adam'}. Best is trial 10 with value: -0.7745277881622314.\n",
      "[I 2023-08-09 01:37:18,392] Trial 11 finished with value: -0.7144525051116943 and parameters: {'lstm_layers': 4, 'mpl_layers': 1, 'hidden_size': 32, 'ff_hidden_size': 32, 'lstm_dropout': 0.2, 'mpl_dropout': 0.05, 'max_grad_norm': 0.1, 'lr': 0.001, 'optimizer': 'Adam'}. Best is trial 10 with value: -0.7745277881622314.\n",
      "[I 2023-08-09 02:04:17,435] Trial 12 finished with value: -0.3324850797653198 and parameters: {'lstm_layers': 4, 'mpl_layers': 1, 'hidden_size': 32, 'ff_hidden_size': 32, 'lstm_dropout': 0.2, 'mpl_dropout': 0.05, 'max_grad_norm': 0.1, 'lr': 0.001, 'optimizer': 'Adam'}. Best is trial 10 with value: -0.7745277881622314.\n",
      "[I 2023-08-09 02:06:53,710] Trial 13 pruned. \n",
      "[I 2023-08-09 02:40:13,545] Trial 14 finished with value: -0.1618010401725769 and parameters: {'lstm_layers': 4, 'mpl_layers': 3, 'hidden_size': 32, 'ff_hidden_size': 32, 'lstm_dropout': 0.15, 'mpl_dropout': 0.1, 'max_grad_norm': 0.1, 'lr': 0.001, 'optimizer': 'Adam'}. Best is trial 10 with value: -0.7745277881622314.\n",
      "[I 2023-08-09 02:41:40,448] Trial 15 pruned. \n",
      "[I 2023-08-09 03:10:43,914] Trial 16 finished with value: -0.39310985803604126 and parameters: {'lstm_layers': 2, 'mpl_layers': 3, 'hidden_size': 32, 'ff_hidden_size': 32, 'lstm_dropout': 0.2, 'mpl_dropout': 0.2, 'max_grad_norm': 0.1, 'lr': 0.001, 'optimizer': 'Adam'}. Best is trial 10 with value: -0.7745277881622314.\n",
      "[I 2023-08-09 03:10:46,211] Trial 17 pruned. \n",
      "[I 2023-08-09 03:47:42,677] Trial 18 finished with value: -0.6571537256240845 and parameters: {'lstm_layers': 4, 'mpl_layers': 1, 'hidden_size': 256, 'ff_hidden_size': 32, 'lstm_dropout': 0.15, 'mpl_dropout': 0.05, 'max_grad_norm': 0.1, 'lr': 0.0001, 'optimizer': 'Adam'}. Best is trial 10 with value: -0.7745277881622314.\n",
      "[I 2023-08-09 03:47:45,484] Trial 19 pruned. \n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "best_params:\n",
      "{'lstm_layers': 4, 'mpl_layers': 1, 'hidden_size': 32, 'ff_hidden_size': 32, 'lstm_dropout': 0.2, 'mpl_dropout': 0.05, 'max_grad_norm': 0.1, 'lr': 0.001, 'optimizer': 'Adam'}\n"
     ]
    }
   ],
   "source": [
    "study = optimize_multi_hyperparameters(dataset,batch_size=200,early_stopping=50,target_vol=0.5,n_trials=20)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'lstm_layers': 4,\n",
       " 'mpl_layers': 1,\n",
       " 'hidden_size': 32,\n",
       " 'ff_hidden_size': 32,\n",
       " 'lstm_dropout': 0.2,\n",
       " 'mpl_dropout': 0.05,\n",
       " 'max_grad_norm': 0.1,\n",
       " 'lr': 0.001,\n",
       " 'optimizer': 'Adam'}"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "study.best_trial.params"
   ]
  }
 ],
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