{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "61518167-cd36-40f3-aa58-e2f716f4ba69",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.datasets import load_diabetes\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.linear_model import LinearRegression\n",
    "from sklearn.metrics import mean_squared_error\n",
    "plt.rcParams['font.sans-serif'] = ['SimHei']\n",
    "plt.rcParams['axes.unicode_minus'] = False"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "01291563",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "6ba66162",
   "metadata": {},
   "source": [
    " 加载diabetes数据集\n",
    "\n",
    "- diabetes 数据集是sklearn内置的经典回归数据集\n",
    "- 样本数:442个病人\n",
    "- 特征数:10个基线变量\n",
    "- 目标：一年后疾病进展的量化指标(y)（连续值可以做回归）\n",
    "- 关键优点:特征已经标准化(均值0,方差为1),这对于梯度下降非常重要——否则不同的量纲的特征会让loss（损失函数）曲面变成”狭长峡谷“，梯度下降会震荡，难以收敛。标准化就是把山谷变得平滑。\n",
    "- 命名约定：X:存放所有样本的特征数据（自变量） y: 存放所有样本的目标值（因变量/预测目标）后面合成数据：xs,ys，互不干扰"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "d7329e6f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "X 形状: (442, 10)\n",
      "y 形状: (442,)\n",
      "特征名: ['age', 'sex', 'bmi', 'bp', 's1', 's2', 's3', 's4', 's5', 's6']\n",
      "X 均值 [-0.  0. -0. -0. -0.  0. -0. -0.  0.  0.]\n",
      "X 标准差: [0.048 0.048 0.048 0.048 0.048 0.048 0.048 0.048 0.048 0.048]\n"
     ]
    }
   ],
   "source": [
    "data = load_diabetes()\n",
    "X, y = data['data'], data['target']\n",
    "print('X 形状:', X.shape)\n",
    "print('y 形状:', y.shape)\n",
    "print('特征名:', data['feature_names'])\n",
    "print('X 均值', X.mean(axis=0).round(3))\n",
    "print('X 标准差:',X.std(axis=0).round(3))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "6fc136be-3913-4e91-97e3-8f16c12e1d1e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "y 范围： 25.0 ~ 346.0\n",
      "样本数一致： True\n"
     ]
    }
   ],
   "source": [
    "print('y 范围：',y.min(),'~',y.max())\n",
    "print(\"样本数一致：\",X.shape[0]==y.shape[0])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "74c38831",
   "metadata": {},
   "source": [
    " 一元线性回归（合成数据）"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "73ac84a7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, '合成数据')"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 手写一条带噪声的直线（合成数据xs,ys)\n",
    "true_w,true_b=2.5,1.0\n",
    "xs=np.linspace(0,4,50)\n",
    "ys=true_w*xs +true_b+np.random.rand(50)*0.8\n",
    "\n",
    "plt.scatter(xs,ys,s=20,alpha=0.7,label='数据')\n",
    "plt.plot(xs,true_w*xs+true_b,'r--',label=f'真直线 w={true_w},b={true_b}')\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "plt.title('合成数据')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1e763e9b",
   "metadata": {},
   "source": [
    "手写梯度下降\n",
    "\n",
    "损失函数 MSE: $L(w,b) = \\frac{1}{n}\\sum_i (w\\cdot x_i+b - y_i)^2$\n",
    "对 w和 b 求偏导（这就是梯度！梯度等于偏导数组成的向量）：\n",
    "- $\\frac{\\partial L}{\\partial w} = \\frac{2}{n}\\sum_i x_i(wx_i+b-y_i)$\n",
    "- $\\frac{\\partial L}{\\partial b}= \\frac{2}{n}\\sum_i (wx_i+b-y_i)$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "3e26bcf6",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "学到的:w=2.562,b=1.296(真值w=2.5,b=1.0)\n",
      "最终的loss::0.040380\n"
     ]
    }
   ],
   "source": [
    "def gradient_descent_1d(xs,ys,lr=0.1,epochs=50):\n",
    "    #xs:\n",
    "    #lr:学习率，步长\n",
    "    #epoch:迭代次数\n",
    "    w,b=0.0,0.0# 初始化\n",
    "    history=[(w,b)]#记录每一次迭代之后的参数\n",
    "    losses=[]#记录每一次迭代之后的损失值，误差\n",
    "    n=len(xs)\n",
    "    for _ in range(epochs):\n",
    "        pred=w*xs+b\n",
    "        err=pred-ys\n",
    "        dw=2*np.mean(xs*err)#等同于(2/n)*np.sum(xs.err)\n",
    "        db=2*np.mean(err)#等同于(2/n)*np.sum(err)\n",
    "        w-=lr*dw#更新参数，梯度的反方向\n",
    "        b-=lr*db\n",
    "        history.append((w,b))\n",
    "        losses.append(np.mean(err**2))\n",
    "    return w,b,np.array(history),np.array(losses)\n",
    "\n",
    "w1,b1,hist,losses1=gradient_descent_1d(xs,ys,lr=0.1,epochs=50)\n",
    "print(f'学到的:w={w1:.3f},b={b1:.3f}(真值w={true_w},b={true_b})')\n",
    "print(f'最终的loss::{losses1[-1]:4f}')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "f7b8cfbd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1400x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "W = np.linspace(-1, 5, 80)\n",
    "B = np.linspace(-2, 4, 80)\n",
    "Wg, Bg = np.meshgrid(W, B)\n",
    "Lg = np.mean((Wg[:,:,None]*xs[None,None,:] + Bg[:,:,None] - ys[None,None,:])**2, axis=2)\n",
    "\n",
    "fig, axes = plt.subplots(1, 2, figsize=(14, 5))\n",
    "\n",
    "ax = axes[0]\n",
    "ax.contour(Wg, Bg, Lg, 30, cmap='viridis')\n",
    "ax.plot(\n",
    "    hist[:, 0], hist[:, 1],\n",
    "    'r.-', markersize=4,\n",
    "    label='梯度下降路径'\n",
    ")\n",
    "ax.plot(\n",
    "    true_w, true_b,\n",
    "    'g*', markersize=15,\n",
    "    label='真值'\n",
    ")\n",
    "ax.set_xlabel('w')\n",
    "ax.set_ylabel('b')\n",
    "ax.set_title('Loss等高线与梯度下降路径')\n",
    "ax.legend()\n",
    "ax.grid(True)\n",
    "\n",
    "axes[1].plot(losses1, 'b.-')\n",
    "axes[1].set_title('Loss变化')\n",
    "axes[1].set_xlabel('迭代次数')\n",
    "axes[1].set_ylabel('Loss')\n",
    "axes[1].grid(True)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2cf738a7",
   "metadata": {},
   "source": [
    "多元线性回归（使用diabetes真实数据）"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "5073df9d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "X: (442, 10) y: (442,) 一致： True\n"
     ]
    }
   ],
   "source": [
    "print('X:',X.shape,'y:',y.shape,'一致：',X.shape[0]==y.shape[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "765425a1",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "训练集: (353, 10) (353,)\n",
      "测试集: (89, 10) (89,)\n"
     ]
    }
   ],
   "source": [
    "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=42)\n",
    "print('训练集:', X_train.shape, y_train.shape)\n",
    "print('测试集:', X_test.shape, y_test.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "0bca483c",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "学到的:w=[  52.978 -130.609  419.644  282.089  -25.827  -69.587 -198.85   148.467\n",
      "  320.657  144.672],偏置b=151.638\n",
      "训练的loss:3023.136589\n",
      "测试MSE:2882.07\n"
     ]
    }
   ],
   "source": [
    "def gradient_descent_multi(X,y,lr=0.5,epochs=500):\n",
    "    #xs:\n",
    "    #lr:学习率，步长\n",
    "    #epoch:迭代次数\n",
    "    n,d=X.shape# 初始化\n",
    "    w=np.zeros(d)\n",
    "    b=0.0\n",
    "    #history=[(w.copy(),b)]#记录每一次迭代之后的参数\n",
    "    losses=[]#记录每一次迭代之后的损失值，误差\n",
    "    for _ in range(epochs):\n",
    "        pred=X @ w+b\n",
    "        err=pred-y\n",
    "        dw=2/n*(X.T @ err)\n",
    "        db=2*np.mean(err)\n",
    "        w-=lr*dw#更新参数，梯度的反方向\n",
    "        b-=lr*db\n",
    "        #history.append((w.copy(),b))\n",
    "        losses.append(np.mean(err**2))\n",
    "    return w,b,np.array(losses)\n",
    "\n",
    "w,b,losses2=gradient_descent_multi(X_train,y_train,lr=0.5,epochs=500)\n",
    "print(f'学到的:w={np.round(w, 3)},偏置b={b:.3f}')\n",
    "print(f'训练的loss:{losses2[-1]:4f}')\n",
    "\n",
    "pred_test=X_test @w+b\n",
    "test_mse= mean_squared_error(y_test,pred_test)\n",
    "print(f'测试MSE:{test_mse:.2f}')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e7f78240",
   "metadata": {},
   "source": [
    "|参数|一元线性回归（单特征）|多元线性回归（多特征）|原因|\n",
    "|---|---|---|---|\n",
    "|**dw (权重)**|`2 * np.mean(xs * err)`|`2/n * (X.T @ err)`|一维向量可以用 mean；二维矩阵必须用矩阵乘法（每列单独求梯度）。|\n",
    "|**db (偏置)**|`2 * np.mean(err)`|`2 * np.mean(err)`|偏置永远只是一个标量，与特征数量无关。|\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "569cec13",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8,4))\n",
    "plt.plot(losses2, 'b-')\n",
    "plt.xlabel('epoch')\n",
    "plt.ylabel(\"loss(MSE)\")\n",
    "plt.title(\"diabetes 多元线性回归:手写梯度下降 loss 曲线\")\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "6ed4b537",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "===== 学习率 lr = 0.1 =====\n",
      "学到的: w=[ 43.887 -14.171 168.967 123.817  34.341  19.725 -98.979 100.636 147.203\n",
      "  97.061], 偏置 b=152.780\n",
      "训练的 loss: 4010.0424\n",
      "测试 MSE: 3503.86\n",
      "\n",
      "===== 学习率 lr = 0.3 =====\n",
      "学到的: w=[  58.669  -76.183  336.743  234.857    9.669  -23.995 -173.94   147.427\n",
      "  269.494  147.181], 偏置 b=151.959\n",
      "训练的 loss: 3215.3230\n",
      "测试 MSE: 2961.34\n",
      "\n",
      "===== 学习率 lr = 0.5 =====\n",
      "学到的: w=[  52.978 -130.609  419.644  282.089  -25.827  -69.587 -198.85   148.467\n",
      "  320.657  144.672], 偏置 b=151.638\n",
      "训练的 loss: 3023.1366\n",
      "测试 MSE: 2882.07\n",
      "\n",
      "===== 学习率 lr = 1.0 =====\n",
      "学到的: w=[  41.597 -203.549  509.344  324.993  -70.712 -119.328 -216.33   144.239\n",
      "  376.329  111.65 ], 偏置 b=-4.499\n",
      "训练的 loss: 27209.9424\n",
      "测试 MSE: 28338.57\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "# 假设 gradient_descent_multi 和 X_train, y_train, X_test, y_test 已经定义好\n",
    "\n",
    "learning_rates = [0.1, 0.3, 0.5, 1.0]\n",
    "results = {}  # 保存每个学习率的结果\n",
    "\n",
    "for lr in learning_rates:\n",
    "    w, b, losses2 = gradient_descent_multi(X_train, y_train, lr=lr, epochs=500)\n",
    "\n",
    "    print(f'\\n===== 学习率 lr = {lr} =====')\n",
    "    print(f'学到的: w={np.round(w, 3)}, 偏置 b={b:.3f}')\n",
    "    print(f'训练的 loss: {losses2[-1]:.4f}')\n",
    "\n",
    "    pred_test = X_test @ w + b\n",
    "    test_mse = mean_squared_error(y_test, pred_test)\n",
    "    print(f'测试 MSE: {test_mse:.2f}')\n",
    "\n",
    "    results[lr] = {\n",
    "        'w': w, 'b': b,\n",
    "        'losses': losses2,\n",
    "        'test_mse': test_mse\n",
    "    }\n",
    "\n",
    "# 画 Loss 曲线对比\n",
    "plt.figure(figsize=(10, 6))\n",
    "for lr in learning_rates:\n",
    "    plt.plot(results[lr]['losses'], label=f'lr={lr}')\n",
    "\n",
    "plt.xlabel('Epoch')\n",
    "plt.ylabel('Loss')\n",
    "plt.title('不同学习率的 Loss 曲线对比')\n",
    "plt.legend()\n",
    "plt.yscale('log')   # 如果 loss 跨度大，用对数坐标更清楚；不需要可删掉\n",
    "plt.grid(True, alpha=0.3)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "a9a9d157",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Xch shape: (20640, 8)\n",
      "ych shape: (20640,)\n",
      "\n",
      "===== 学习率 lr = 0.1 =====\n",
      "学到的: w=[ 0.855  0.123 -0.296  0.341 -0.002 -0.041 -0.894 -0.867], 偏置 b=2.072\n",
      "训练的 loss: 0.5179\n",
      "测试 MSE: 0.56\n",
      "\n",
      "===== 学习率 lr = 0.3 =====\n",
      "学到的: w=[ 0.854  0.123 -0.294  0.339 -0.002 -0.041 -0.897 -0.87 ], 偏置 b=2.072\n",
      "训练的 loss: 0.5179\n",
      "测试 MSE: 0.56\n",
      "\n",
      "===== 学习率 lr = 0.5 =====\n",
      "学到的: w=[ -648.529    95.858 -3415.135 -3078.172  1245.273    82.767 -4345.012\n",
      "  4080.345], 偏置 b=2.072\n",
      "训练的 loss: 113034525.5597\n",
      "测试 MSE: 146112296.96\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "c:\\Users\\Lenovo\\AppData\\Local\\Programs\\Python\\Python312\\Lib\\site-packages\\numpy\\core\\_methods.py:118: RuntimeWarning: overflow encountered in reduce\n",
      "  ret = umr_sum(arr, axis, dtype, out, keepdims, where=where)\n",
      "C:\\Users\\Lenovo\\AppData\\Local\\Temp\\ipykernel_31672\\4181425408.py:44: RuntimeWarning: overflow encountered in square\n",
      "  loss = np.mean(error ** 2)\n",
      "c:\\Users\\Lenovo\\AppData\\Local\\Programs\\Python\\Python312\\Lib\\site-packages\\sklearn\\metrics\\_regression.py:570: RuntimeWarning: overflow encountered in square\n",
      "  output_errors = _average((y_true - y_pred) ** 2, axis=0, weights=sample_weight)\n",
      "c:\\Users\\Lenovo\\AppData\\Local\\Programs\\Python\\Python312\\Lib\\site-packages\\matplotlib\\scale.py:270: RuntimeWarning: overflow encountered in power\n",
      "  return np.power(self.base, values)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "===== 学习率 lr = 1.0 =====\n",
      "学到的: w=[-3.91849589e+239  5.77682723e+238 -2.06057768e+240 -1.85763012e+240\n",
      "  7.51421848e+239  4.99676834e+238 -2.62131873e+240  2.46267980e+240], 偏置 b=-1147465170997463034686197977165360628541848576719743722684846781455893075678333665110219222367628682030792809921778004837530948973255534963465896595180718797157159570432390053073409953883232260105574193260038153195463935828951040.000\n",
      "训练的 loss: inf\n",
      "测试 MSE: inf\n"
     ]
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.datasets import fetch_california_housing\n",
    "# ========== 1. 加载 California Housing 数据集 ==========\n",
    "housing = fetch_california_housing()\n",
    "Xch = housing.data\n",
    "ych = housing.target\n",
    "\n",
    "print(\"Xch shape:\", Xch.shape)   # (20640, 8)\n",
    "print(\"ych shape:\", ych.shape)   # (20640,)\n",
    "\n",
    "\n",
    "# ========== 2. 划分训练集 / 测试集 ==========\n",
    "Xch_train, Xch_test, ych_train, ych_test = train_test_split(\n",
    "    Xch, ych, test_size=0.2, random_state=42\n",
    ")\n",
    "\n",
    "\n",
    "# ========== 3. 特征标准化（多元梯度下降强烈建议做）==========\n",
    "# 注意：均值/方差只能在训练集上拟合，再应用到测试集，避免数据泄漏\n",
    "mu = Xch_train.mean(axis=0)\n",
    "sigma = Xch_train.std(axis=0)\n",
    "sigma[sigma == 0] = 1  # 防止除零\n",
    "\n",
    "Xch_train_n = (Xch_train - mu) / sigma\n",
    "Xch_test_n  = (Xch_test  - mu) / sigma\n",
    "\n",
    "\n",
    "# ========== 4. 多元梯度下降 ==========\n",
    "def gradient_descent_multi(X, y, lr=0.01, epochs=500):\n",
    "    m, n = X.shape\n",
    "    w = np.zeros(n)\n",
    "    b = 0.0\n",
    "    losses = []\n",
    "\n",
    "    for _ in range(epochs):\n",
    "        y_pred = X @ w + b\n",
    "        error = y_pred - y\n",
    "\n",
    "        dw = (2 / m) * (X.T @ error)\n",
    "        db = (2 / m) * np.sum(error)\n",
    "\n",
    "        w -= lr * dw\n",
    "        b -= lr * db\n",
    "\n",
    "        loss = np.mean(error ** 2)\n",
    "        losses.append(loss)\n",
    "\n",
    "    return w, b, losses\n",
    "\n",
    "\n",
    "# ========== 5. 循环不同学习率 ==========\n",
    "learning_rates = [0.1, 0.3, 0.5, 1.0]\n",
    "results = {}\n",
    "\n",
    "for lr in learning_rates:\n",
    "    w, b, losses2 = gradient_descent_multi(\n",
    "        Xch_train_n, ych_train, lr=lr, epochs=500\n",
    "    )\n",
    "\n",
    "    print(f'\\n===== 学习率 lr = {lr} =====')\n",
    "    print(f'学到的: w={np.round(w, 3)}, 偏置 b={b:.3f}')\n",
    "    print(f'训练的 loss: {losses2[-1]:.4f}')\n",
    "\n",
    "    pred_test = Xch_test_n @ w + b\n",
    "    test_mse = mean_squared_error(ych_test, pred_test)\n",
    "    print(f'测试 MSE: {test_mse:.2f}')\n",
    "\n",
    "    results[lr] = {\n",
    "        'w': w, 'b': b,\n",
    "        'losses': losses2,\n",
    "        'test_mse': test_mse\n",
    "    }\n",
    "\n",
    "\n",
    "# ========== 6. 画 4 条 Loss 曲线对比 ==========\n",
    "plt.figure(figsize=(10, 6))\n",
    "for lr in learning_rates:\n",
    "    plt.plot(results[lr]['losses'], label=f'lr={lr}')\n",
    "\n",
    "plt.xlabel('Epoch')\n",
    "plt.ylabel('Loss (MSE)')\n",
    "plt.title('California Housing: 不同学习率的 Loss 曲线对比')\n",
    "plt.legend()\n",
    "plt.yscale('log')        # loss 跨度可能较大，用对数坐标更清楚\n",
    "plt.grid(True, alpha=0.3)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "00bb51f8",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Xch shape: (20640, 8)\n",
      "ych shape: (20640,)\n",
      "\n",
      "===== 学习率 lr = 0.1 =====\n",
      "学到的: w=[ 0.855  0.123 -0.296  0.341 -0.002 -0.041 -0.894 -0.867], 偏置 b=2.072\n",
      "训练的 loss: 0.5179\n",
      "测试 MSE: 0.56\n",
      "\n",
      "===== 学习率 lr = 0.3 =====\n",
      "学到的: w=[ 0.854  0.123 -0.294  0.339 -0.002 -0.041 -0.897 -0.87 ], 偏置 b=2.072\n",
      "训练的 loss: 0.5179\n",
      "测试 MSE: 0.56\n",
      "\n",
      "===== 学习率 lr = 0.5 =====\n",
      "学到的: w=[ -648.529    95.858 -3415.135 -3078.172  1245.273    82.767 -4345.012\n",
      "  4080.345], 偏置 b=2.072\n",
      "训练的 loss: 113034525.5597\n",
      "测试 MSE: 146112296.96\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "c:\\Users\\Lenovo\\AppData\\Local\\Programs\\Python\\Python312\\Lib\\site-packages\\numpy\\core\\_methods.py:118: RuntimeWarning: overflow encountered in reduce\n",
      "  ret = umr_sum(arr, axis, dtype, out, keepdims, where=where)\n",
      "C:\\Users\\Lenovo\\AppData\\Local\\Temp\\ipykernel_21544\\2772804312.py:46: RuntimeWarning: overflow encountered in square\n",
      "  loss = np.mean(error ** 2)\n",
      "c:\\Users\\Lenovo\\AppData\\Local\\Programs\\Python\\Python312\\Lib\\site-packages\\sklearn\\metrics\\_regression.py:570: RuntimeWarning: overflow encountered in square\n",
      "  output_errors = _average((y_true - y_pred) ** 2, axis=0, weights=sample_weight)\n",
      "c:\\Users\\Lenovo\\AppData\\Local\\Programs\\Python\\Python312\\Lib\\site-packages\\matplotlib\\scale.py:270: RuntimeWarning: overflow encountered in power\n",
      "  return np.power(self.base, values)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "===== 学习率 lr = 1.0 =====\n",
      "学到的: w=[-3.91849589e+239  5.77682723e+238 -2.06057768e+240 -1.85763012e+240\n",
      "  7.51421848e+239  4.99676834e+238 -2.62131873e+240  2.46267980e+240], 偏置 b=-1147465170997463034686197977165360628541848576719743722684846781455893075678333665110219222367628682030792809921778004837530948973255534963465896595180718797157159570432390053073409953883232260105574193260038153195463935828951040.000\n",
      "训练的 loss: inf\n",
      "测试 MSE: inf\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.datasets import fetch_california_housing\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "\n",
    "# ========== 1. 加载 California Housing 数据集 ==========\n",
    "housing = fetch_california_housing()\n",
    "Xch = housing.data\n",
    "ych = housing.target\n",
    "\n",
    "print(\"Xch shape:\", Xch.shape)   # (20640, 8)\n",
    "print(\"ych shape:\", ych.shape)   # (20640,)\n",
    "\n",
    "\n",
    "# ========== 2. 划分训练集 / 测试集 ==========\n",
    "Xch_train, Xch_test, ych_train, ych_test = train_test_split(\n",
    "    Xch, ych, test_size=0.2, random_state=42\n",
    ")\n",
    "\n",
    "\n",
    "# ========== 3. 特征标准化（多元梯度下降强烈建议做）==========\n",
    "# 注意：均值/方差只能在训练集上拟合，再应用到测试集，避免数据泄漏\n",
    "\n",
    "scaler = StandardScaler()\n",
    "\n",
    "# 关键：只在训练集上 fit（学均值、方差），再 transform 两边\n",
    "Xch_train_n = scaler.fit_transform(Xch_train)   # fit + transform\n",
    "Xch_test_n  = scaler.transform(Xch_test)        # 只 transform，不能 fit！\n",
    "\n",
    "\n",
    "# ========== 4. 多元梯度下降 ==========\n",
    "def gradient_descent_multi(X, y, lr=0.01, epochs=500):\n",
    "    m, n = X.shape\n",
    "    w = np.zeros(n)\n",
    "    b = 0.0\n",
    "    losses = []\n",
    "\n",
    "    for _ in range(epochs):\n",
    "        y_pred = X @ w + b\n",
    "        error = y_pred - y\n",
    "\n",
    "        dw = (2 / m) * (X.T @ error)\n",
    "        db = (2 / m) * np.sum(error)\n",
    "\n",
    "        w -= lr * dw\n",
    "        b -= lr * db\n",
    "\n",
    "        loss = np.mean(error ** 2)\n",
    "        losses.append(loss)\n",
    "\n",
    "    return w, b, losses\n",
    "\n",
    "\n",
    "# ========== 5. 循环不同学习率 ==========\n",
    "learning_rates = [0.1, 0.3, 0.5, 1.0]\n",
    "results = {}\n",
    "\n",
    "for lr in learning_rates:\n",
    "    w, b, losses2 = gradient_descent_multi(\n",
    "        Xch_train_n, ych_train, lr=lr, epochs=500\n",
    "    )\n",
    "\n",
    "    print(f'\\n===== 学习率 lr = {lr} =====')\n",
    "    print(f'学到的: w={np.round(w, 3)}, 偏置 b={b:.3f}')\n",
    "    print(f'训练的 loss: {losses2[-1]:.4f}')\n",
    "\n",
    "    pred_test = Xch_test_n @ w + b\n",
    "    test_mse = mean_squared_error(ych_test, pred_test)\n",
    "    print(f'测试 MSE: {test_mse:.2f}')\n",
    "\n",
    "    results[lr] = {\n",
    "        'w': w, 'b': b,\n",
    "        'losses': losses2,\n",
    "        'test_mse': test_mse\n",
    "    }\n",
    "\n",
    "\n",
    "# ========== 6. 画 4 条 Loss 曲线对比 ==========\n",
    "plt.figure(figsize=(10, 6))\n",
    "for lr in learning_rates:\n",
    "    plt.plot(results[lr]['losses'], label=f'lr={lr}')\n",
    "\n",
    "plt.xlabel('Epoch')\n",
    "plt.ylabel('Loss (MSE)')\n",
    "plt.title('California Housing: 不同学习率的 Loss 曲线对比')\n",
    "plt.legend()\n",
    "plt.yscale('log')        # loss 跨度可能较大，用对数坐标更清楚\n",
    "plt.grid(True, alpha=0.3)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c13cb1b1",
   "metadata": {},
   "source": [
    "作业1：把学习率变成0.1、0.3、0.5、1.0，画4条Loss曲线对比  \n",
    "\n",
    "作业2：尝试用sklearn的California Housing数据集\n",
    "\n",
    "作业3:为什么DL不用解析解而用梯度下降（参数量太大了，billlion parameters）\n",
    "令梯度为 0 是因为：极值点处斜率必为 0。而平方损失是凸函数（Hessian 2XᵀX 半正定），凸函数的 ∇L = 0 点一定是全局最小值，所以可以直接令 ∇L = 0 解出解析解。深度学习损失并非一定凸，∇L = 0 不保证最优，所以只能梯度下降。对平方损失 ‖Xθ - y‖² 求导、令梯度为 0，得到正规方程 XᵀXθ = Xᵀy，解出 θ = (XᵀX)⁻¹Xᵀy。代价是 O(n³) 求逆 + n×n 内存，所以参数量一大就必须换成梯度下降。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0f1860c5",
   "metadata": {},
   "source": [
    "与sklearn做对比\n",
    "- sklearn内部的linearregression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "0c42f7a8",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "手写梯度下降测试MSE = 2882.07\n",
      "sklearn 最小二乘 测试 MSE = 2900.19\n",
      "偏置差异: 0.2921\n"
     ]
    }
   ],
   "source": [
    "# sklearn基准\n",
    "sk = LinearRegression()\n",
    "sk.fit(X_train, y_train)\n",
    "sk_pred = sk.predict(X_test)\n",
    "sk_mse=mean_squared_error(y_test,sk_pred)\n",
    "print(f'手写梯度下降测试MSE = {test_mse:.2f}')\n",
    "print(f'sklearn 最小二乘 测试 MSE = {sk_mse:.2f}')\n",
    "print(f'偏置差异: {abs(b - sk.intercept_):.4f}')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b82859cc",
   "metadata": {},
   "source": [
    "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=42)\n",
    "\n",
    "这个函数默认会随机打乱数据然后切分。如果你每次运行代码前，没有固定随机种子，那么每一次：\n",
    "\n",
    "训练集包含的 442 个样本里的哪些人，是随机的。\n",
    "\n",
    "测试集包含的哪些人，也是随机的。\n",
    "数据变了，模型学到的规律自然就变了，最终评估的 MSE 当然也会变。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "afb1f478",
   "metadata": {},
   "source": [
    "lr过大，会造成震荡。lr过大会变成狭长的峡谷，lr小会变成圆滑的碗"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "a5964348",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1r=1.2 时 loss 序列前10: [   29711.32    52311.94    96706.05   183813.84   354640.92   689562.26\n",
      "  1346120.29  2633112.86  5155812.33 10100608.47]\n",
      "lr=1.2 时最终 loss: 2037055605664794288135778689089536.00 (若为 nan/inf 说明发散)\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_, _, losses_big = gradient_descent_multi(X_train,y_train, lr=1.2, epochs=100)\n",
    "print(f\"1r=1.2 时 loss 序列前10: {losses_big[:10].round(2)}\")\n",
    "print(f\"lr=1.2 时最终 loss: {losses_big[-1]:.2f} (若为 nan/inf 说明发散)\")\n",
    "plt.figure(figsize=(8,4))\n",
    "plt.plot(losses2, 'b-', label='1r=0.5(正常)')\n",
    "plt.plot(losses_big, 'r-', label='lr=1.2(发散)')\n",
    "plt.ylim(0, min(5000, max(losses2[-1]*3, 1)))\n",
    "plt.xlabel('epoch')\n",
    "plt.ylabel('loss')\n",
    "plt.title(\"学习率的影响\")\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c575a5c5",
   "metadata": {},
   "source": [
    "# 线性回归梯度下降学习率现象与原因整理\n",
    "\n",
    "## 1. 现象总结\n",
    "\n",
    "| 数据集 | lr | 结果 |\n",
    "|--------|-----|------|\n",
    "| Diabetes (442×10) | 0.1 / 0.3 / 0.5 | loss ~3000~4000，MSE ~2900~3500，收敛正常 |\n",
    "| Diabetes | 1.0 | loss 27209，MSE 28338，开始震荡/发散 |\n",
    "| California (20640×8) | 0.1 / 0.3 | loss 0.52，MSE 0.56，收敛良好 |\n",
    "| California | 0.5 | loss 1.1e8，发散 |\n",
    "| California | 1.0 | loss = inf，权重变成 1e240 量级，彻底爆炸 |\n",
    "| 任何 | 1.2 | loss 序列 29711 → 52311 → 96706 → … 每步翻倍，指数发散 |\n",
    "\n",
    "---\n",
    "\n",
    "## 2. 根本原因：梯度下降的收敛条件\n",
    "\n",
    "对线性回归的损失\n",
    "\n",
    "    L(w) = (1/N) * ||Xw + b - y||^2\n",
    "\n",
    "其梯度下降的稳定条件大致是：\n",
    "\n",
    "    lr < 2 / λ_max(X^T X / N)\n",
    "\n",
    "其中 λ_max 是 Hessian 的最大特征值（与特征的相关性、方差、量纲有关）。\n",
    "\n",
    "- lr 太小：收敛慢，但稳定。\n",
    "- lr 接近临界值：震荡收敛。\n",
    "- lr 超过临界值：每步误差乘以一个 >1 的因子，指数发散（1.2 时 loss 翻倍就是这个）。\n",
    "- lr 远大于临界值：几步内数值溢出为 inf（California lr=1.0）。\n",
    "\n",
    "---\n",
    "\n",
    "## 3. 为什么两个数据集“临界学习率”差这么多？\n",
    "\n",
    "因为 Hessian 的最大特征值不同，而它取决于：\n",
    "\n",
    "### （1）特征量纲 / 方差\n",
    "\n",
    "- Diabetes 数据 X 标准差只有 0.048（已经标准化过），所以 X^T X / N 的特征值较小 → 可以容忍较大 lr。\n",
    "- California Housing 没做标准化，特征量纲差异大（人口、收入、经纬度等），λ_max 很大 → 临界 lr 很小，0.5 就炸。\n",
    "\n",
    "### （2）特征相关性\n",
    "\n",
    "- 相关性越强，X^T X 越接近奇异，条件数越大，λ_max / λ_min 越大，梯度下降越难收敛。\n",
    "\n",
    "### （3）样本量 N\n",
    "\n",
    "- N 越大，X^T X / N 越接近真实协方差，特征值更稳定；但不会改变量纲问题。\n",
    "\n",
    "---\n",
    "\n",
    "## 4. 为什么 lr=1.0 时 bias 变成 -4.5，而 w 还有值？\n",
    "\n",
    "在发散初期，权重先沿最大特征值方向爆炸，bias 相对“还没跟上”。再迭代几步就会全部变成 inf/nan。看到的 b = -4.499 只是爆炸过程中的一个瞬间快照。\n",
    "\n",
    "---\n",
    "\n",
    "## 5. 为什么 sklearn 最小二乘和手写 GD 结果接近但不等？\n",
    "\n",
    "- 手写 GD：迭代解，受 lr、迭代次数、是否收敛影响，通常停在最优点附近。\n",
    "- sklearn LinearRegression：用 SVD/QR 解析解，直接求 w = (X^T X)^(-1) X^T y，是精确最优。\n",
    "- 两者 MSE 差 18（2882 vs 2900），说明 GD 还没完全收敛（或 lr 选得不是最优）。增大迭代次数或调 lr 可以逼近。\n",
    "\n",
    "---\n",
    "\n",
    "## 6. 为什么 overflow warning 出现在 loss = np.mean(error ** 2)？\n",
    "\n",
    "因为权重已经到 10^240，Xw 计算出来就是 10^240 量级，平方直接超过 float64 上限（约 1.8×10^308），触发 overflow → inf。这是发散后的次生现象，不是 bug。\n",
    "\n",
    "---\n",
    "\n",
    "## 7. 解决方案\n",
    "\n",
    "### （1）标准化特征（最重要）\n",
    "\n",
    "    from sklearn.preprocessing import StandardScaler\n",
    "    scaler = StandardScaler()\n",
    "    X_scaled = scaler.fit_transform(X)\n",
    "\n",
    "标准化后所有特征方差为 1，λ_max 大幅下降，lr 可以取到 0.1~1.0 都稳定。\n",
    "\n",
    "注意：必须先划分训练/测试集，只在训练集上 fit，再 transform 两边，避免数据泄漏。\n",
    "\n",
    "    X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=42)\n",
    "\n",
    "    scaler = StandardScaler()\n",
    "    X_train_n = scaler.fit_transform(X_train)   # fit + transform\n",
    "    X_test_n  = scaler.transform(X_test)        # 只 transform\n",
    "\n",
    "### （2）给 y 也中心化（可选）\n",
    "\n",
    "让 bias 更好收敛。\n",
    "\n",
    "### （3）选学习率\n",
    "\n",
    "- 标准化后，lr 一般取 0.01 ~ 0.1 比较稳。\n",
    "- 或者用线搜索 / Adam 等自适应方法。\n",
    "\n",
    "### （4）加迭代停止条件\n",
    "\n",
    "    if abs(loss_prev - loss) < tol:\n",
    "        break\n",
    "\n",
    "### （5）数值稳定\n",
    "\n",
    "算 loss 时可以先判断 `np.isfinite(w).all()`，发散了就提前退出并提示。\n",
    "\n",
    "### （6）想验证收敛临界值\n",
    "\n",
    "可以算 X^T X / N 的最大特征值 λ_max，理论临界 lr = 2 / λ_max。\n",
    "\n",
    "会发现 California 的 λ_max 比 Diabetes 大好几个数量级——这就是为什么它 0.5 就炸。\n",
    "\n",
    "---\n",
    "\n",
    "## 8. 一句话总结\n",
    "\n",
    "梯度下降：学习率上限由 2 / λ_max(X^T X / N) 决定；特征没标准化时 λ_max 巨大，lr 稍大就指数发散 → inf。标准化 + 选小 lr 就能解决。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7165279b",
   "metadata": {},
   "source": [
    "反标准化"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "e9bd4bfc",
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 800x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X_bad = X_train.copy()\n",
    "X_bad[:, 0] *= 20\n",
    "_, _, losses_bad = gradient_descent_multi(X_bad, y_train, lr=0.5, epochs=500)\n",
    "plt.figure(figsize=(8,4))\n",
    "plt.plot(losses2, 'b-', label='已标准化')\n",
    "plt.plot(losses_bad, 'r-', label='未标准化（某特征放大一百倍）')\n",
    "plt.ylim(0, min(5000, max(losses2[-1]*3, 1)))\n",
    "plt.xlabel('epoch')\n",
    "plt.ylabel('loss')\n",
    "plt.title('标准化的重要性')\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "a9ff7f58",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "plt.rcParams['font.sans-serif'] = ['SimHei']   # 正常显示中文\n",
    "plt.rcParams['axes.unicode_minus'] = False     # 正常显示负号"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "a8757f7f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "x=0: 解析=0, 数值=0.000010, 误差=1.00e-05\n",
      "x=1: 解析=2, 数值=2.000010, 误差=1.00e-05\n",
      "x=2: 解析=4, 数值=4.000010, 误差=1.00e-05\n",
      "x=3: 解析=6, 数值=6.000010, 误差=1.00e-05\n"
     ]
    }
   ],
   "source": [
    "# 数值求导\n",
    "def f(x):  return x**2                 # 原函数 f(x) = x²\n",
    "def f_prime(x):  return 2*x            # 解析导数 f'(x) = 2x\n",
    "\n",
    "def num_deriv(func, x, h=1e-5):        # 数值求导：中心思想是差商\n",
    "    return (func(x+h) - func(x)) / h   # 前向差分公式\n",
    "\n",
    "for x in [0, 1, 2, 3]:\n",
    "    exact = f_prime(x)                 # 解析解\n",
    "    numeric = num_deriv(f, x)          # 数值解\n",
    "    print(f'x={x}: 解析={exact}, 数值={numeric:.6f}, 误差={abs(exact-numeric):.2e}')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "6d1f4ca3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 可视化\n",
    "x = np.linspace(-3, 3, 100)                # 在 [-3, 3] 区间生成 100 个等间距点\n",
    "y = x**2                                   # 对应的函数值 y = x²\n",
    "\n",
    "fig, axes = plt.subplots(1, 3, figsize=(12, 4))   # 创建 1 行 3 列的子图\n",
    "\n",
    "for ax, x0 in zip(axes, [-1, 0, 1.5]):     # 遍历每个子图和切点 x0\n",
    "    ax.plot(x, y, 'b-', label='f(x)=x^2')  # 画函数曲线（蓝色实线）\n",
    "    slope = 2 * x0                         # 该点处的切线斜率（导数 f'(x0)=2x0）\n",
    "    tangent = f(x0) + slope * (x - x0)     # 切线方程：y = f(x0) + f'(x0)(x - x0)\n",
    "    ax.plot(x, tangent, 'r--', label=f'切线(斜率={slope})')   # 画切线（红色虚线）\n",
    "    ax.plot(x0, f(x0), 'go', markersize=10)                   # 标出切点（绿色圆点）\n",
    "    ax.set_title(f'x={x0}, f_prime={slope}')                  # 子图标题\n",
    "    ax.legend()                            # 显示图例\n",
    "    ax.grid(True)                          # 显示网格\n",
    "\n",
    "plt.tight_layout()                         # 自动调整子图间距，避免重叠\n",
    "plt.show()                                 # 显示图像"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "92ca6322",
   "metadata": {},
   "source": [
    "梯度下降"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "bf155f13",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "步0: pos=[2. 2.], loss=8.000000\n",
      "步10: pos=[0.21474836 0.21474836], loss=0.092234\n",
      "步20: pos=[0.02305843 0.02305843], loss=0.001063\n",
      "步30: pos=[0.00247588 0.00247588], loss=0.000012\n",
      "步40: pos=[0.00026585 0.00026585], loss=0.000000\n",
      "最终: pos=[3.56811923e-05 3.56811923e-05], loss=0.000000\n"
     ]
    }
   ],
   "source": [
    "def f3(x, y):  return x**2 + y**2                  # 目标函数 f(x, y) = x² + y²\n",
    "def grad_f3(x, y):  return np.array([2*x, 2*y])    # 梯度 ∇f = (2x, 2y)\n",
    "\n",
    "pos = np.array([2.5, 2.5])                          # 起点坐标\n",
    "lr = 0.1                                            # 学习率（步长）\n",
    "path = [pos.copy()]                                 # 记录路径，从起点开始\n",
    "\n",
    "for i in range(50):                                 # 迭代 50 次\n",
    "    g = grad_f3(pos[0], pos[1])                     # 计算当前点的梯度\n",
    "    pos = pos - lr * g                              # 沿负梯度方向更新位置\n",
    "    path.append(pos.copy())                         # 记录新的位置\n",
    "    if i % 10 == 0:                                 # 每隔 10 次打印一次\n",
    "        print(f'步{i}: pos={pos}, loss={f3(pos[0], pos[1]):.6f}')\n",
    "\n",
    "print(f'最终: pos={pos}, loss={f3(pos[0], pos[1]):.6f}')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "9be62bb9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "path = np.array(path)\n",
    "x = np.linspace(-3, 3, 100)\n",
    "y = np.linspace(-3, 3, 100)\n",
    "\n",
    "X, Y = np.meshgrid(x, y)\n",
    "Z = X**2 + Y**2                                 # 函数 z = x² + y²\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(7, 6))\n",
    "ax.contour(X, Y, Z, 15, cmap=\"viridis\", alpha=0.5)   # 画等高线（15 条），用 viridis 配色，半透明\n",
    "ax.plot(path[:, 0], path[:, 1], 'r.-', markersize=8, label=\"下降路径\")   # 画梯度下降走过的路径\n",
    "ax.plot(0, 0, 'g*', markersize=15, label='最小值')    # 标出最小值点 (0, 0)\n",
    "ax.set_title(\"梯度下降路径\")\n",
    "ax.legend()\n",
    "ax.grid(True)\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "60ea90a5",
   "metadata": {},
   "source": [
    "偏导数与梯度"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "ad4f3df2",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "df/dx(1,2)解析=8, 数值=8.000010\n",
      "df/dy(1,2)解析=7, 数值=7.000010\n",
      "梯度[8, 7]\n"
     ]
    }
   ],
   "source": [
    "def f2(x, y):  return x**2 + 3*x*y + y**2             # 目标函数 f(x, y) = x² + 3xy + y²\n",
    "def df_dx(x, y):  return 2*x + 3*y                     # 对 x 的偏导 ∂f/∂x = 2x + 3y\n",
    "def df_dy(x, y):  return 3*x + 2*y                     # 对 y 的偏导 ∂f/∂y = 3x + 2y\n",
    "\n",
    "def num_partial(func, x, y, h=1e-5, axis=0):           # 数值偏导函数\n",
    "    if axis == 0:\n",
    "        return (func(x+h, y) - func(x, y)) / h         # 对 x 求偏导（前向差分）\n",
    "    else:\n",
    "        return (func(x, y+h) - func(x, y)) / h         # 对 y 求偏导（前向差分）\n",
    "\n",
    "x0, y0 = 1, 2\n",
    "\n",
    "print(f'df/dx({x0},{y0})解析={df_dx(x0, y0)}, 数值={num_partial(f2, x0, y0, axis=0):.6f}')\n",
    "print(f'df/dy({x0},{y0})解析={df_dy(x0, y0)}, 数值={num_partial(f2, x0, y0, axis=1):.6f}')\n",
    "print(f'梯度[{df_dx(x0, y0)}, {df_dy(x0, y0)}]')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "b202c323",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(-3, 3, 20)\n",
    "y = np.linspace(-3, 3, 20)\n",
    "\n",
    "X, Y = np.meshgrid(x, y)\n",
    "Z = X**2 + 3*X*Y + Y**2            # 目标函数值（用于画等高线）\n",
    "U = 2*X + 3*Y                      # 梯度在 x 方向的分量 ∂f/∂x\n",
    "V = 3*X + 2*Y                      # 梯度在 y 方向的分量 ∂f/∂y\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(7, 6))\n",
    "ax.contour(X, Y, Z, 15, cmap='viridis', alpha=0.5)     # 画 15 条等高线\n",
    "ax.quiver(X, Y, U, V, color='red', alpha=0.7)          # 画梯度向量场（红色箭头）\n",
    "ax.set_title('梯度场')\n",
    "ax.set_xlabel('x')\n",
    "ax.set_ylabel('y')\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "d7388fa9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "path = np.array(path)\n",
    "x = np.linspace(-3, 3, 100)\n",
    "y = np.linspace(-3, 3, 100)\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(7, 6))\n",
    "ax.contour(X, Y, Z, 15, cmap='viridis', alpha=0.5)              # 画等高线（15 条，半透明）\n",
    "ax.plot(path[:, 0], path[:, 1], 'r.-', markersize=8, label='下降路径')   # 画下降路径（红色点线）\n",
    "ax.plot(0, 0, 'g*', markersize=15, label='最小值')               # 标出最小值点 (0, 0)（绿色星形）\n",
    "ax.set_title('梯度下降路径')\n",
    "ax.legend()\n",
    "ax.grid(visible=True)\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "7170b0b8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<link rel=\"stylesheet\"\n",
       "href=\"https://maxcdn.bootstrapcdn.com/font-awesome/4.4.0/css/font-awesome.min.css\">\n",
       "<script language=\"javascript\">\n",
       "  function isInternetExplorer() {\n",
       "    ua = navigator.userAgent;\n",
       "    /* MSIE used to detect old browsers and Trident used to newer ones*/\n",
       "    return ua.indexOf(\"MSIE \") > -1 || ua.indexOf(\"Trident/\") > -1;\n",
       "  }\n",
       "\n",
       "  /* Define the Animation class */\n",
       "  function Animation(frames, img_id, slider_id, interval, loop_select_id){\n",
       "    this.img_id = img_id;\n",
       "    this.slider_id = slider_id;\n",
       "    this.loop_select_id = loop_select_id;\n",
       "    this.interval = interval;\n",
       "    this.current_frame = 0;\n",
       "    this.direction = 0;\n",
       "    this.timer = null;\n",
       "    this.frames = new Array(frames.length);\n",
       "\n",
       "    for (var i=0; i<frames.length; i++)\n",
       "    {\n",
       "     this.frames[i] = new Image();\n",
       "     this.frames[i].src = frames[i];\n",
       "    }\n",
       "    var slider = document.getElementById(this.slider_id);\n",
       "    slider.max = this.frames.length - 1;\n",
       "    if (isInternetExplorer()) {\n",
       "        // switch from oninput to onchange because IE <= 11 does not conform\n",
       "        // with W3C specification. It ignores oninput and onchange behaves\n",
       "        // like oninput. In contrast, Microsoft Edge behaves correctly.\n",
       "        slider.setAttribute('onchange', slider.getAttribute('oninput'));\n",
       "        slider.setAttribute('oninput', null);\n",
       "    }\n",
       "    this.set_frame(this.current_frame);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.get_loop_state = function(){\n",
       "    var button_group = document[this.loop_select_id].state;\n",
       "    for (var i = 0; i < button_group.length; i++) {\n",
       "        var button = button_group[i];\n",
       "        if (button.checked) {\n",
       "            return button.value;\n",
       "        }\n",
       "    }\n",
       "    return undefined;\n",
       "  }\n",
       "\n",
       "  Animation.prototype.set_frame = function(frame){\n",
       "    this.current_frame = frame;\n",
       "    document.getElementById(this.img_id).src =\n",
       "            this.frames[this.current_frame].src;\n",
       "    document.getElementById(this.slider_id).value = this.current_frame;\n",
       "  }\n",
       "\n",
       "  Animation.prototype.next_frame = function()\n",
       "  {\n",
       "    this.set_frame(Math.min(this.frames.length - 1, this.current_frame + 1));\n",
       "  }\n",
       "\n",
       "  Animation.prototype.previous_frame = function()\n",
       "  {\n",
       "    this.set_frame(Math.max(0, this.current_frame - 1));\n",
       "  }\n",
       "\n",
       "  Animation.prototype.first_frame = function()\n",
       "  {\n",
       "    this.set_frame(0);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.last_frame = function()\n",
       "  {\n",
       "    this.set_frame(this.frames.length - 1);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.slower = function()\n",
       "  {\n",
       "    this.interval /= 0.7;\n",
       "    if(this.direction > 0){this.play_animation();}\n",
       "    else if(this.direction < 0){this.reverse_animation();}\n",
       "  }\n",
       "\n",
       "  Animation.prototype.faster = function()\n",
       "  {\n",
       "    this.interval *= 0.7;\n",
       "    if(this.direction > 0){this.play_animation();}\n",
       "    else if(this.direction < 0){this.reverse_animation();}\n",
       "  }\n",
       "\n",
       "  Animation.prototype.anim_step_forward = function()\n",
       "  {\n",
       "    this.current_frame += 1;\n",
       "    if(this.current_frame < this.frames.length){\n",
       "      this.set_frame(this.current_frame);\n",
       "    }else{\n",
       "      var loop_state = this.get_loop_state();\n",
       "      if(loop_state == \"loop\"){\n",
       "        this.first_frame();\n",
       "      }else if(loop_state == \"reflect\"){\n",
       "        this.last_frame();\n",
       "        this.reverse_animation();\n",
       "      }else{\n",
       "        this.pause_animation();\n",
       "        this.last_frame();\n",
       "      }\n",
       "    }\n",
       "  }\n",
       "\n",
       "  Animation.prototype.anim_step_reverse = function()\n",
       "  {\n",
       "    this.current_frame -= 1;\n",
       "    if(this.current_frame >= 0){\n",
       "      this.set_frame(this.current_frame);\n",
       "    }else{\n",
       "      var loop_state = this.get_loop_state();\n",
       "      if(loop_state == \"loop\"){\n",
       "        this.last_frame();\n",
       "      }else if(loop_state == \"reflect\"){\n",
       "        this.first_frame();\n",
       "        this.play_animation();\n",
       "      }else{\n",
       "        this.pause_animation();\n",
       "        this.first_frame();\n",
       "      }\n",
       "    }\n",
       "  }\n",
       "\n",
       "  Animation.prototype.pause_animation = function()\n",
       "  {\n",
       "    this.direction = 0;\n",
       "    if (this.timer){\n",
       "      clearInterval(this.timer);\n",
       "      this.timer = null;\n",
       "    }\n",
       "  }\n",
       "\n",
       "  Animation.prototype.play_animation = function()\n",
       "  {\n",
       "    this.pause_animation();\n",
       "    this.direction = 1;\n",
       "    var t = this;\n",
       "    if (!this.timer) this.timer = setInterval(function() {\n",
       "        t.anim_step_forward();\n",
       "    }, this.interval);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.reverse_animation = function()\n",
       "  {\n",
       "    this.pause_animation();\n",
       "    this.direction = -1;\n",
       "    var t = this;\n",
       "    if (!this.timer) this.timer = setInterval(function() {\n",
       "        t.anim_step_reverse();\n",
       "    }, this.interval);\n",
       "  }\n",
       "</script>\n",
       "\n",
       "<style>\n",
       ".animation {\n",
       "    display: inline-block;\n",
       "    text-align: center;\n",
       "}\n",
       "input[type=range].anim-slider {\n",
       "    width: 374px;\n",
       "    margin-left: auto;\n",
       "    margin-right: auto;\n",
       "}\n",
       ".anim-buttons {\n",
       "    margin: 8px 0px;\n",
       "}\n",
       ".anim-buttons button {\n",
       "    padding: 0;\n",
       "    width: 36px;\n",
       "}\n",
       ".anim-state label {\n",
       "    margin-right: 8px;\n",
       "}\n",
       ".anim-state input {\n",
       "    margin: 0;\n",
       "    vertical-align: middle;\n",
       "}\n",
       "</style>\n",
       "\n",
       "<div class=\"animation\">\n",
       "  <img id=\"_anim_img60149ce550c04705b73ec52dc09c85a8\">\n",
       "  <div class=\"anim-controls\">\n",
       "    <input id=\"_anim_slider60149ce550c04705b73ec52dc09c85a8\" type=\"range\" class=\"anim-slider\"\n",
       "           name=\"points\" min=\"0\" max=\"1\" step=\"1\" value=\"0\"\n",
       "           oninput=\"anim60149ce550c04705b73ec52dc09c85a8.set_frame(parseInt(this.value));\">\n",
       "    <div class=\"anim-buttons\">\n",
       "      <button title=\"Decrease speed\" aria-label=\"Decrease speed\" onclick=\"anim60149ce550c04705b73ec52dc09c85a8.slower()\">\n",
       "          <i class=\"fa fa-minus\"></i></button>\n",
       "      <button title=\"First frame\" aria-label=\"First frame\" onclick=\"anim60149ce550c04705b73ec52dc09c85a8.first_frame()\">\n",
       "        <i class=\"fa fa-fast-backward\"></i></button>\n",
       "      <button title=\"Previous frame\" aria-label=\"Previous frame\" onclick=\"anim60149ce550c04705b73ec52dc09c85a8.previous_frame()\">\n",
       "          <i class=\"fa fa-step-backward\"></i></button>\n",
       "      <button title=\"Play backwards\" aria-label=\"Play backwards\" onclick=\"anim60149ce550c04705b73ec52dc09c85a8.reverse_animation()\">\n",
       "          <i class=\"fa fa-play fa-flip-horizontal\"></i></button>\n",
       "      <button title=\"Pause\" aria-label=\"Pause\" onclick=\"anim60149ce550c04705b73ec52dc09c85a8.pause_animation()\">\n",
       "          <i class=\"fa fa-pause\"></i></button>\n",
       "      <button title=\"Play\" aria-label=\"Play\" onclick=\"anim60149ce550c04705b73ec52dc09c85a8.play_animation()\">\n",
       "          <i class=\"fa fa-play\"></i></button>\n",
       "      <button title=\"Next frame\" aria-label=\"Next frame\" onclick=\"anim60149ce550c04705b73ec52dc09c85a8.next_frame()\">\n",
       "          <i class=\"fa fa-step-forward\"></i></button>\n",
       "      <button title=\"Last frame\" aria-label=\"Last frame\" onclick=\"anim60149ce550c04705b73ec52dc09c85a8.last_frame()\">\n",
       "          <i class=\"fa fa-fast-forward\"></i></button>\n",
       "      <button title=\"Increase speed\" aria-label=\"Increase speed\" onclick=\"anim60149ce550c04705b73ec52dc09c85a8.faster()\">\n",
       "          <i class=\"fa fa-plus\"></i></button>\n",
       "    </div>\n",
       "    <form title=\"Repetition mode\" aria-label=\"Repetition mode\" action=\"#n\" name=\"_anim_loop_select60149ce550c04705b73ec52dc09c85a8\"\n",
       "          class=\"anim-state\">\n",
       "      <input type=\"radio\" name=\"state\" value=\"once\" id=\"_anim_radio1_60149ce550c04705b73ec52dc09c85a8\"\n",
       "             >\n",
       "      <label for=\"_anim_radio1_60149ce550c04705b73ec52dc09c85a8\">Once</label>\n",
       "      <input type=\"radio\" name=\"state\" value=\"loop\" id=\"_anim_radio2_60149ce550c04705b73ec52dc09c85a8\"\n",
       "             checked>\n",
       "      <label for=\"_anim_radio2_60149ce550c04705b73ec52dc09c85a8\">Loop</label>\n",
       "      <input type=\"radio\" name=\"state\" value=\"reflect\" id=\"_anim_radio3_60149ce550c04705b73ec52dc09c85a8\"\n",
       "             >\n",
       "      <label for=\"_anim_radio3_60149ce550c04705b73ec52dc09c85a8\">Reflect</label>\n",
       "    </form>\n",
       "  </div>\n",
       "</div>\n",
       "\n",
       "\n",
       "<script language=\"javascript\">\n",
       "  /* Instantiate the Animation class. */\n",
       "  /* The IDs given should match those used in the template above. */\n",
       "  (function() {\n",
       "    var img_id = \"_anim_img60149ce550c04705b73ec52dc09c85a8\";\n",
       "    var slider_id = \"_anim_slider60149ce550c04705b73ec52dc09c85a8\";\n",
       "    var loop_select_id = \"_anim_loop_select60149ce550c04705b73ec52dc09c85a8\";\n",
       "    var frames = new Array(15);\n",
       "    \n",
       "  frames[0] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAoAAAAHgCAYAAAA10dzkAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
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       "\"\n",
       "\n",
       "\n",
       "    /* set a timeout to make sure all the above elements are created before\n",
       "       the object is initialized. */\n",
       "    setTimeout(function() {\n",
       "        anim60149ce550c04705b73ec52dc09c85a8 = new Animation(frames, img_id, slider_id, 200.0,\n",
       "                                 loop_select_id);\n",
       "    }, 0);\n",
       "  })()\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.animation import FuncAnimation #逐帧动画的引擎\n",
    "from IPython.display import HTML\n",
    "#把动画结果渲染成 HTML 内嵌到 notebook(需要它才能在 Jupyter 里看到动画，而不是一张静态 png)\n",
    "\n",
    "\n",
    "\n",
    "def taylor_sin(x, n):\n",
    "    x = np.asarray(x, dtype=np.float64)\n",
    "    #强制把输入转成 float64 数组。这一步是关键修复——防止 x 是整数数组时，x**39 溢出成 Python 大整数（dtype=object），引发 UFuncTypeError。\n",
    "    y = np.zeros_like(x)#结果数组，形状与 x 相同，初值全 0。用数组而不是 sum()，也避免了 n=0 时返回标量 0 的坑。\n",
    "    term = x.copy()#当前要加的项，初始是第 0 项 x。\n",
    "    for k in range(n):\n",
    "        y += term\n",
    "        term = -term * x * x / ((2*k+2) * (2*k+3))#递推得到下一项\n",
    "    return y\n",
    "\n",
    "x = np.linspace(-2*np.pi, 2*np.pi, 400, dtype=np.float64)\n",
    "fig, ax = plt.subplots()\n",
    "line, = ax.plot([], [], 'r-', lw=2)\n",
    "#创建一条空的红色曲线（数据先给空列表），后面动画会往它里面填数据。逗号是解包，ax.plot 返回列表，取第一个 Line2D 对象。\n",
    "ax.set_xlim(-2*np.pi, 2*np.pi)\n",
    "ax.set_ylim(-2, 2)\n",
    "#固定坐标轴范围，动画时不会抖动。\n",
    "ax.plot(x, np.sin(x), 'k--', lw=1)\n",
    "\n",
    "def init():\n",
    "    line.set_data([], [])\n",
    "    return line,\n",
    "#动画开始时调用，清空曲线。返回 line,（元组，供 blit 使用）\n",
    "def animate(n):\n",
    "    line.set_data(x, taylor_sin(x, n))\n",
    "    return line,\n",
    "#每一帧调用一次，参数 n 就是当前帧对应的项数。\n",
    "#计算 taylor_sin(x, n) → 得到 y\n",
    "\n",
    "#line.set_data(x, y) 更新红色曲线\n",
    "\n",
    "#返回 line, 告诉 Matplotlib 哪个 artist 变了（blit 优化需要）\n",
    "ani = FuncAnimation(fig, animate, frames=range(0, 15), init_func=init, blit=True)\n",
    "HTML(ani.to_jshtml())\n",
    "#FuncAnimation(...)：\n",
    "\n",
    "#fig：画在哪\n",
    "\n",
    "#animate：每帧调用的函数\n",
    "\n",
    "#frames=range(1, 21)：帧序列，n 从 1 到 20（不是从 0，避免第一帧是 y=0 的直线）\n",
    "\n",
    "#init_func=init：初始化函数\n",
    "\n",
    "#blit=True：只重绘变化部分，动画更流畅\n",
    "\n",
    "#ani.to_jshtml()：把动画转成内嵌 HTML/JS（每帧编码成 base64 图片，配播放控件）。\n",
    "\n",
    "#HTML(...)：让 Jupyter 渲染这段 HTML，于是你在 notebook 里就能直接播放动画，不用保存成文件，也不依赖本机有没有 ffmpeg。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a29cfcfe",
   "metadata": {},
   "source": [
    "递推公式的推导：设第 $k$ 项为\n",
    "$$t_k = \\frac{(-1)^k x^{2k+1}}{(2k+1)!}$$\n",
    "则相邻两项的比：\n",
    "$$\n",
    "\\frac{t_{k+1}}{t_k} = \\frac{-x^2}{(2k+2)(2k+3)}$$\n",
    "即\n",
    "$$t_{k+1} = t_k \\cdot \\frac{-x^2}{(2k+2)(2k+3)}$$\n",
    "最终返回 前 n 项 的和，即 n 阶（准确说是 n 项）泰勒多项式。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "37dec6b8",
   "metadata": {},
   "source": [
    "定义 taylor_sin（递推、float64 安全）  \n",
    "        ↓  \n",
    "准备 x、画布、参照的 sin(x) 虚线、空的红色曲线  \n",
    "        ↓  \n",
    "定义 init 和 animate 两个回调  \n",
    "        ↓  \n",
    "FuncAnimation 把 20 帧串起来  \n",
    "        ↓  \n",
    "to_jshtml() 转成 HTML → Jupyter 内嵌播放  "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d4e0685b",
   "metadata": {},
   "source": [
    "sin(x) 的麦克劳林逼近"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "80b5ed0c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# 中文字体设置（可选）\n",
    "plt.rcParams['font.sans-serif'] = ['SimHei']\n",
    "plt.rcParams['axes.unicode_minus'] = False\n",
    "\n",
    "# x 范围：围绕 0 点，让逼近效果清晰\n",
    "x = np.linspace(-np.pi, np.pi, 500)\n",
    "\n",
    "# 原函数\n",
    "y_sin = np.sin(x)\n",
    "\n",
    "# 一阶泰勒: sin(x) ≈ x\n",
    "y_t1 = x\n",
    "\n",
    "# 二阶泰勒: sin(x) ≈ x - x^3/6  (注意：sin 的\"二阶\"通常指到 x^2 项，\n",
    "# 但 sin 的 x^2 项系数为 0，所以二阶多项式其实 = 一阶 = x。\n",
    "# 这里画出三阶(含 x^3/6)，才是常见的\"二阶非零\"逼近效果)\n",
    "y_t2 = x - x**3 / 6\n",
    "\n",
    "# 绘图\n",
    "plt.figure(figsize=(10, 6))\n",
    "plt.plot(x, y_sin, 'k-', linewidth=2.5, label='sin(x)')\n",
    "plt.plot(x, y_t1, '--', color='#e74c3c', linewidth=2, label='一阶泰勒: x')\n",
    "plt.plot(x, y_t2, '--', color='#2980b9', linewidth=2, label='三阶泰勒: x - x^3/6')\n",
    "\n",
    "# 标注\n",
    "plt.axhline(0, color='gray', linewidth=0.8, linestyle=':')\n",
    "plt.axvline(0, color='gray', linewidth=0.8, linestyle=':')\n",
    "plt.scatter([0], [0], color='black', zorder=5)  # 展开点\n",
    "\n",
    "plt.xlim(-np.pi, np.pi)\n",
    "plt.ylim(-2, 2)\n",
    "plt.xlabel('x', fontsize=12)\n",
    "plt.ylabel('y', fontsize=12)\n",
    "plt.title('sin(x) 在 x=0 处的泰勒逼近', fontsize=14)\n",
    "plt.legend(fontsize=11, loc='upper left')\n",
    "plt.grid(alpha=0.3)\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "205777b0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ar0Idt9S7kFGw9TV0HihwkkqIqPSIJsbSz7Te5EudqaSOVlTydOXKFREESKSAUgqw0hP9XmhdEqHgg36HXwtICXW1o/FSkEvniD4fdA4pyKUgiDrMUYBKa5Do2FxdXUXQoY7WF1E5mHSOKZiidtAUHElBIQWo9PuhzwuVrSUNtCkYpI53X1obk/RCQWbStsf0O6Jgn1BJIAWUmzZtEo+nzzt97mgMFJTRGqDkgn1aG0ZljOpdyuj46HNIFzpG+kzTZ5HOcUo2RGWMsa/hQIYxluHRhJC+LaYJFE3mKKPSpk2bVL2GtJfFt1A7YFoLkdzkmb41lyZf0s72yWVL1AOmpCjYkNav0EUdfVtOawrom22a9NEkUH3CSVkSyrLQInxao0MZk5o1a4o1E/RcChZoXHSe6Pm0JwydtyVLlohvvylwo7VC1FaYsjCUzaC9Qug6TUKpBTMdN2WN1NcJ0Wt9aw+XGTNmiGCKLvT7oeOQfqb2xN8KRtavXy+CGfpdS6TJcnKTZonULrp27dr4HhQc3rt3D+fOnUsIBGlCT+20v4XOGY2ZJu+USaO1SrQ+in4PtO6I0O+LAgHKItapU+ez16AsjdT2mFCQ8erVK3HOKUtGgS0FpfQ7odvofFJwo549od+9+nmktU0UUEkXymbSmJ49e5bwuKSBJY1DWnxfsmRJEUhR0ETnhj73FNTQOZIeS00HpKYHhIJiWudFv3d11OKb1j3RhbKD9LmlII9+psYHjDH2IziQYYxleLTImyaJVL5D3zzTxJy6RUkbO6bEt75dl9CkjwIEadKmjvZgoX00qFPYH3/8kbA3iIS6T1GQkNogSx0dI2WfaLx0zOoL7glN9GmiSRNRWhBOY5H2nRk1apQITCjrIu3FQhNyaZJPk006NnqulCmhCSpdp8kwTXpPnz4tys1oAi6hcahPlpOi46ZgSvrmnUriaIKv/rPUpSw5NMGl3zFNgilTJpGyFF8LZOiYqCRN6pyWWvTatOCeFu5TECHtq6OeGfoa6tJFvy/KbJ06dUosYKffv7QBKAUDNDYKFukzkxQFF3TuqGSMAk36XVDwmj9/fvG7oewWZbsoG0Ljo2YAlOFRL3VTDzKphIseS+dEutD46FwmV6ZI6P3pd96/f/+E/WnosXSh7CCV7VGQQgE0/f9HwTDdrp7RpEYVFKBQYK2OOrRJnwP63NLvmQIjOifUqY8xxn4E70LFGMvwaCJ248YNMQmiyRVlLKjOPrk6/bRAHbKobEgKKAitr6GOVjSZo3UO1JWKHqPeppfWidB96l3CkqLSGsoifAmtHZBQoJY0kJEm3ydOnBABHWWPqKuXNGmm1sHUna1q1apiPYN6CR5NjikDQRkAmvzS2hUKMGjCTJNSmmBSIESTUSrjk1CWJ7kd2CnAIRS00Df0dFFH50giBQkSeg6VKdEx0iSb1ptQiZU6aaJMgZCULUmKsko0CacALDVZGSk4onVKlLmiwIXKvuh3Qz8nF8gmh9aLUNnYmTNnxDFQIEAbQ9LPNB7Kqkiti+l6Unfv3hUZNDoGeg4FE4R+P7T+hgIZKUiiYJLOOX2+KFMjUc92UdkWbZwptctWl7QNtoRKyag8joJkCoYpEJY27qTMEmV/Zs6cKc4Jlc1RUELPkdbZ0PioYyC16f5W5k5Cry8FburrpBhjLDU4I8MYy/BokkQTfJrYNWzYUEzmqKzla1mCH0HrAWiNhNRQgCbb9G067T5funRpEUz9/fffooyHJtDSuhJqjUulM1+bvFFARt/WSxeaxH8p40Df1icN1v755x+xfoGCFlpcTpNIygLQt+r0M2UIHj9+LCboFJA0a9YsYaJL54sCEmmyqf7eFLANHDhQvKf0TfmUKVPEZJUm9lJba5p8UsMDCoBoLQ7dT+9DvyM6F9euXRPlSNRIgS50nYI/yvDQdUJZAsosUIBCLZYpg0HrnigwoxIsmtDTRJkyRJQNoMdTyR6t5fnS+qXUUl/3QwEHBTE0HsoKUUaDghH1x35pnRBltygIovNPwRmVm1HwSFkdGjsFhJSJoHIwOlYKSNRRUE4tqKlBw7Rp00TGg0oTKaNGgTNl1GiNDAWoFOwMHjxYBBpSQ4ikx0Lryeh3JGVBpAt9BujzRoEv/R7US8toDPT/Ff2+6T0poKXH0ueBxiM1h6DfOQWfFDzS+0htximjRmWPdJs6es/k2i/TdWnhv7QejDHGvkuqepwxxlgWQe1iqb0x7Xj/LdT2Nl++fKojR4589XHUqldqfSyh9srU7lhC7XmHDh2qat26tWj3PHv27ESPp9bF1KJZal0bFhamKl68uEoul6suXryY6LHUrnrPnj1fHA+1Pqb3ITdv3lS5uLioZs2alXD/1q1bVSVKlBAtnt+9e5cwPtpBntoCk4iICLHzfefOnVXly5dXOTk5ifa81C6YdoKncUktmKUd4/v06SNa+cbExIifFQqFOHeDBg0S54fGQbvay2SyRC2c9fX1RXvftEDtf6X2y5JVq1aJNt/Pnz9P9FhqmU2/k6SobXPXrl1FK29qGy3tVO/r6yvaWtPvb/To0eL46Fjbtm0rjklq202/Q2olTp8f9bbQdN6plTO1K86RI4fK2Ng40bmk1/Dx8Ul4jq2tbUKL5K+h98mTJ4/K3t5edfTo0YTbqZX5q1evEn6m8Z48eVI1YMAAVeXKlUULaTMzM3E86r/P3bt3J/r/JSlqH71o0SJxrpNe6HPs7u6e0OKbMca+h4z+830hEGOMZW5UppPSFrEpeSyVfNG36rTWRn0NAX0bLmU8aKE3fYtP37rTonnKAn0r80TrFyhLQ12xfgStW5DKzr6G/tlIaQnRl1AGg97rW+8jra+RGg5Qpik9UTYi6XtQBpAyCEnHSyV3tDaESsPU2yrTuKn5AZWdUTZGHWXxKAMjZdq+1a47rSVtIJGeY6DzRY0OaE0NY4ylBw5kGGOMMcYYY1qH18gwxhhjjDHGtA4HMowxxhhjjDGtw4EMY4wxxhhjTOtwIMMYY4wxxhjTOhliQ0zax4D2BqBOMT/aCYcxxhhjjDGmvagXGXWRpM1/v9a5M0MEMhTEUOtQxhhjjDHGGCO0+W+uXLmQoQMZqWc/Ddbc3FyjY6EdkWnn5bp160JPT0+jY8mM+PymLz6/6YvPb/ri85u++PymL205vzffBOCuRyD6VMujVVUw2nJ+tVVsBju/ISEhIsnxrb3DMkQgI/2PREFMRghkaLMwGkdG+EVmNnx+0xef3/TF5zd98flNX3x+05c2nF8KYAbte46IGAVy57RBm7LaUw2jDedXm8Vm0PP7rWCbF/szxhhjjGVyj98Ho8v6myKIqeJqgyYlcmp6SIz9MA5kGGOMMcYysde+oei8/iZCo+JQ1jkbVncuA0M9HU0Pi7EfxoEMY4wxxlgm9c4/HB3W3EBAeAyKOVhgfbdyMNbPECsLGPthWvNJphbNMTExP6VGUFdXF1FRUVAoFOn+flmNtp1fqhPV0eFvrRhjjGmfyBgFOq27Ad/QaBSwM8Pm7uVhbphx1j8wliUCGQpg3r59K4KZn9G3OkeOHKKDmjZ189AW2nh+LS0txZi1ZbyMMcYYMdLXQf/qrlh9+Q229CyPbCb6mh4SY1krkKGJ74cPH8S34tSG7Wub4qQFCpbCwsJgamqa7u+VFWnT+aXPXkREBHx9fcXP9vb2mh4SY4wxlirtyjuhRWkHGOhydQHLfDJ8IBMXFycmk7SzJ7WF+1klbIaGhhl+oq2NtO38GhkZiT8pmMmePTuXmTHGGMvQQqNiMfXIU4ysXxA2pgbiNg5iWGaV4WeS0joKfX1OhzLNkAJoWt/DGGOMZeQ1MT023cau2174Y+sdUVnAWGaW4QMZCa9PYJrCnz3GGGMZXXScAr233MbNtwEwM9DFxMZF+N8vlulpTSDDPrdx40a8f//+q4/ZuXMn3rx5k2bvSd3GUvoNT0BAQKKfqaSM1scwxhhjLO3EKpQYsP0eLr/yg5GeDjZ2L4diuSw0PSzG0h0HMlrq3LlzWLJkCSwsvv4XFa3raN26NSIjI1P9HhR4JA1aqlatin/++SfRbVRylbSjHAU8efPmxcGDBxNuu3TpEuzs7L5rLIwxxhj7nEKpwvDdD3D6qQ/0deVY26UsyjhbaXpYjP0UGX6xf2Z14cIFdO3aFe7u7t8VYAwcOBAHDhwQ3b++pkaNGmjevDnmzp2LiRMnpup9aHzU9lp9gfutW7ewePFiLF++XPxMgQ6NZ8WKFShbtmzC4w4dOiSCKH9/f9Ftjl6DghsKeipUqCAW+lMjh7Fjx6Jfv36pPgeMMcYYA+afeoGD972hK5dhRcfSqOxqo+khMfbTcCCjIVWqVMHDhw+/67lbt25FnTp1kC9fvhQ9fsSIEShevDiGDx+eqs5v27dvFx3jKCghlHW5cuUK+vfvn9B8wdraWoxFHQU306ZNE8FW586dxYU2waRx//333zhx4gTMzc1FIweu32WMMca+X/vyTjj++COG1c2PWoXsND0cxn4qrQpkaCJN3/Cn93uEhoYiOjo62fbANHFPi7bBNLGnyfz32Lt3LyZPnpyqFsJ169bF8ePH0apVq1S9V0hICNq3by+yMHTcS5cuFbeRu3fv4tWrV58FMuvXr8ejR4/EJpJ0nOPGjcPJkyfx6dMnBAUFiSwRZWhGjx4tyt4YY4wx9n0crYxxckhVUVbGWFajVYEMBTFUrqRJtJ+Ira3tNx935swZDBo0SJSOlSxZEps3b4arq+tXS8to8T5dOnbsiPHjx4vbqGSrZcuWiV772bNnKFOmTMLPDx48QKVKlfD06VM4OzujS5cuotxLfS1LxYoVxeNSG8jQfi9k9erVn90XHByMAgUKJLqNjmfYsGFiLYzE09MTPXv2RN++fUWgSIHQqFGjEgIixhhjjKXc6ktucLE2Qd0iOcTPHMSwrEqrAhlt0qlTJzGhb9euncieTJgw4bNF8sl5/Pgx9u3bJ0q41q5diyFDhnwWyFAwoF6SVaJECfTo0UOsgaEyMlpgT0GNOgoA6TW/V+/evT/LRFFGxsPDI9FttG6ncePGIvMioefR2ObNm5cwfgpKf/nll+8eD2OMMZYVbbrqjhnHnkNHLsPJIb/CNbuZpofEmMZwIJNOqJyLFrZbWVmJbAYtbE+J8PBwbNq0SQQe3bt3x+zZs1P0vKlTp6JQoUJ48uSJCJpy5syZ6H5qe/ytxgBfQwv1kwYylPVJavDgwWJdzW+//Zbo9ilTpnyWkWGMMcZYyu267Ym/Dj0R1/tXz8tBDMvyOJBJJ7SwfdKkSZgzZ47ImCxcuBClS5f+5vMoGJHK56QF9Ully5ZNrDdRL3GjNsxt27YV3cSorC0pNzc3ODk5fffxUGlcSkrLKFNkYmKSbKBFC/0JLfL38fHhjAxjjDGWQkceemP03vgmQT2q5MbQOvk1PSTGNE6rAhlaaE9rVH7GYn8zM7MvLvb/FspIUAbm9OnT4s+//vpLrIdJSZeylDQAqFevnugkRuVkEirxomCjcuXKImiYP39+ouccPnwYGzZsQErRuNX3kLl//75YuK9ux44dovxNythI62mSQ1kizsgwxhhjqXf2mQ+G7LgPpSq+S9n4RoW46ydj2hbIUGCRkoX2P4Im2gYGBiKg+N7uZBQEULCxbt060aGLAoKUlpalBJWc0aJ9amusp6cnbqOWyLSgnhoMFClSBL///rtoMkAuXrwoggz1ZgPfQkHP0KFDRXcxyvbY2Hy5Lz2dKyozo3UvyWVjCGdkGGOMsdR7/jEEf2y7izilCs1K5sS05kU5iGHs/7jNRTqgiT2VltFeKrS7PWVDVq5cmWavnz9/fjRq1EhsJkn27NkjNqqkrEeuXLkwcuRI9OnTRwRltOie9nOh0rbU6NWrl1hXQ+VjVJZGwRN1UKPXowvtSUPB0+XLl0WGhTIy6kEMBSsU3NA6IUJjo0YGlJW6du0a2rRpI26nNteMMcYYS17+7GZoXSYX6ha2w7w2JcQif8ZYPA5k0gntj0JtkiMjI8WeKlWrVk10f/Xq1RO1XiZUfkZtmSUuLi6JyrvUUZBEQcGLFy/Ee338+FGUwxHat+XGjRsio7RgwQLRPa1o0aKpPobbt29jwIAB4rkUkNAmnhIpG0THRVmn58+fJ3ouBTE0NkdHR5w/fx6zZs0Sx5MnTx6xOSftK0OdzGhNEGOMMcaSJ5fLML15USzrWBp6OjxtY0xrS8vYf2i9Cm1w+a3yN2o48L0lcpR5oaBjxowZn63docYB9NpUyrZly5bPytbOnj0r/ky6cae0RuZHSvcYY4yxzOzFx1BsvuaOSU2LiOCFSsn0dDgTw1hSHMhosZQEAj8SLNSuXfubj6H20tRymTHGGGM/7q1fODqtu4FPodEwN9LDqPoFNT0kxjIs/kqcMcYYYywDeB8UiY5rrosgpmAOM/SpmkfTQ2IsQ+NAhjHGGGNMw3xDokQQ4x0chTy2JtjSowIsjZPfT44xFo8DGcYYY4wxDQoMjxHlZO7+EciVzQjbelaArZmBpofFWIbHgQxjjDHGmIZQd9LeW27jpU8Y7MwNsL1nRdhbGGl6WIxpBQ5kGGOMMcY0hDqSDa2dH45W8ZkYJ2tjTQ+JMa3BXcsYY4wxxjSokqsNzv5ZHfq6/P0yY6nB/8f8RLTvy4cPH5DVLFmyROwd8y2hoaGIjo7+4feLiIgQ+9UkRZt6RkVFQaFQYO7cuV/cbJQxxhhLT7EKJUbteYiXPqEJt3EQw1jq8f81P9GAAQPw+PHjbz7OwsICz549w927d5EtW7aECffLly9FCvry5cvQFps3b8aRI0dgYmLy2X329vbYu3dvon1rVqxY8UPvR4FQiRIlULJkSXGhfXQKFSokrtPt48aNg46ODp4/f47p06f/0HsxxhhjqaVQqjBk533svO2JrutvIjpOoekhMaa1uLQsnVy9ehUdOnQQE3gKPigYeffundg8UtqkUtrl/sWLF+JxEyZMwM6dOxEeHo5mzZqJ59D1vHnzYv369ShatKh4nouLy089jm7duokxppa/vz+mTp2KGzduiOAhKT09vUQBjoGBAYyMvrzAcc+ePVi2bBnOnz+fcFuvXr3Ez35+frC1tcWkSZPw6tUrcV9kZKR4/Zs3b8LMzCzRa1HAVLZsWbRr1w6urq6pPjbGGGMstZRKFUbtfYijDz9AT0eG6S2LwUD3838fGWMpw4FMOqlUqZKY/Ovq6opJ/PXr1/HHH3/g3r17iUqdKFjR14/vE0+BDE38rayscOzYMcTFxaFevXp48+YNxowZg5MnT4rH/f333wkTfprIOzg4pMsx3LlzBy1atPhqcPE1ixcvRv/+/cXxqGdMpLIvCujo/EjoZyngiYmJEfdJQR8de5cuXVCuXLlE77FmzRqRXalfv35CACOhMj4nJ6fPghhC53zy5MmYMWOGCBIZY4yx9ET/3k8+/AR77nhBRy7D0valUKNAdk0PizGtxqVl6VxKRtkTutSsWRPv379P+Jkuzs7OWLRoUcLjpYBGejwFMY6OjuK2nDlzilIskjt3bvEzTcRpXcn3srGxgaWl5WeX+/fvi0xQy5YtxTF8rwMHDoislDr6uXjx4siTJw+8vLzQqVOnhPNBwd7o0aPFdTpGymCR169fi3FQUJQSlG2h4K5x48biZ8pk5cuXL+FnCf184cIFETAyxhhj6RnEzD7xApuuvYNMBsxrUxz1i8b/m84Yy4IZmYiYL08+5TIZDPV0vvuxkTEK6MbEJWQDiLF+6k4VLSpfuXKlyDAEBgaK8qVbt26J4EUdZSfosYaGhgm30doYmtDTbVQqRQYOHAhPT08MHToUffv2FZPvPn36iHKsr6Hnu7u7i8BhwYIFYs3N1q1bUblyZZFxSW7BOwVJUlkZZTnWrVuH1KLxUWlX9uyJv22iNTFUTmdubi7GtHbtWrE2hlSvXl0ENj179kz0HGtra3HuKDCiMrFvoWOqU6cONm7cmHDbmTNnMGfOnM9K2yhg8vDwEGNhjDHG0sOu255YedFNXJ/WvChalMql6SExlilobSBTeGJ8mVVyahSwxYZu5RN+LjP1DCJjk19MVyG3FXb2+SXh56pzLiAgIvazx7nPapSq8dFaGCojo2CI/qQSp99++03cR8GBsbGxyBrQpLtYsWJiQk8Tf7o9f/78CAgIEGtrtm3bhrdv34rA4OPHj2JSr44e8y1UptawYUMxDipfozK1S5cufRZUJUXjS1qulVKfPn0Sa1bSAgVfqaEegFasWBEzZ8787HYJBVq+vr4cyDDGGEs3DYrZY/dtL9QvmgMdK3z9317GWBYIZDK6VatWiSCFumTRN/+nT58W3/zTehMKSGiR+bx581ClSpWE50jrRWg9CGVzKCPTunVrsSiduLm5JZSapQa9Lo2HsjedO3cWmZz0Rovsw8LCEt1GwVhKAi/1NUR07n4ElafRGpmgoKBk76cxmpqa/tB7MMYYY19jbqiHf3pXhJ4OV/Qzlpa0NpB5OqXeV8vF1N2ZUDvFj700sjpCQ0JhZm6W7Df4KUWlUCNHjhRlY8uXLxdByezZs0UL4EGDBol9TKgbGK3daN68uSinov1NihQpItZu+Pj4iEk/deoqUKBAwmvS/SS5fVK+hLISUgkarcORyslojUxy60No3Qi1K/4RVDoWHBwsXl8K0KZMmZJQ7iWd26RlZNOmTRMXGiNlhKi87VvoXNBaIQrQSpcuneh2ClTonF25ciXZ51K2K1cuTvEzxhhLWwfvv4dPSBR6V80rfuYghrEMHMgcPHhQrN+grAMtrv7nn3/E/h3pJTVrVlL72Dh9HfHnjwQytCaDSsmoZKlBgwbYv3+/yC5Q6RjtEdOvXz+cO3dOLHCnYIfeiyb9tD6Ggg31NTKUmaBJ+dmzZzFkyBDx+nQbSUmGg4KK5HxrjcyP+uWXX3Dx4kXUqlUrIZCh45HWyDx9+lSsUZFaMFOgRoFIcq2av4Q+c5RtKlOmjAj4mjRpIoI/QutpChYsmLD+KGnQRhkuqcEBY4wxllZOPfmIP3c9EHvGuGY3Rc2CdpoeEmOZUpoEMjQhpOwClUNVq1ZNLEynb9q/9C14VkDrUCS0/kXa+4QyMbRmgxaeFy5cWFzUu21RK2CayKtnZKhlMbVu9vb2TlhnI3Ur+5HSq2+tkflR1JSAghcpkFFHx9W9e3d07dpVtJOmPWcoM0VrVigwKV/+vzVOX0PngzIxFLBIqGkAZbqGDx+OHj16iPI9as88atSoRM+lzA+NkTHGGEsrl1/7YcD2+yKIaVnKAdXzc4tlxtJLmuQ5KcMwa9YstG3bFnZ2dp/tl5JVUXblzz//FOeDFr9T9oP2ZaGJNpWXUUMAWi8jGTFihDiXjx8/FoEhPY+uX7t2DUuWLBGlarTGhjINFAhQFie1C+F/JjpOCkxoE0sJHR+t06FAl1pPUxBDqIkB3UdZHOqoRkFHStoiU9mcehBDaD0MNTWgNs8UqIwdO1Z0bDty5EhCSd7Ro0dFW+eOHTum+XEzxhjLmtxCgH7b7yNGoUSDojkwp3VxyOUpXxvKGNNARibp/hy0ESR9I/4llGGgi4RKjaRyKalkKummkTQBTc26kO8llVpJ7/m9Dh06JDZwpFIwCuqo+5eUIaBNGMePHy8CmWbNmol1IElLxGhDSEJjoIYB1PWMHk8/U2BAr0cZHFr78rVxTpw4MeF1SNWqVcUGmyk9ttQ+PinKrlBpHTU3oGOkVsvUpY3OCZWVqb8uLbqnwIY+T7179xaBEO2lI6EAiC5fGgsFi5T9oT8p4/X777+Lx9L7UzBIWRl6TXp9Cryp/JF+z8mV16mj16DH0GcxNWVvmiD9/5P0/yOWNvj8pi8+v+mLz2/6uuPuj1XPdRCtUKJafhvMa1UUKqUCscrku6ay1OHPb9Y6v7EpHIdM9a1ZXCrRBJwWV0uZiOTQOgnazDGp7du3izUk6miheI4cOUS3LmnDSG1BmQFp/QUFNjdu3BDBjHoWhRbEW1hYfPO1ku41o00oEJDWG0nrY1LyOfqe3/e///4rGhUk14lM/VyrjyklY6E9fCh7xptnMsYYSyosFph+TwcRChnymSvRu6AS+hn7ey/GMrSIiAixiTrN3b42b0zzQIbWhhw/flws3P7S+o3kMjIUqPj5+X02WJrA0ySSdnv/GRN5Oh20/oRa9qamVTDLvOeXPoO0qSh9RjN6MEnfYFCrb9oQ9EdbV7PP8flNX3x+0xef3/S17vIb7Lz2Crv6V4WliZGmh5Pp8Oc3a53fkJAQ0V33W4FMmrZfpi5cVPZEnbi+dhKoHCq5HenpOUmfRy2JacJL357/SBexlJLKlqT3ZGlLG88vjZPGm9znM6PSprFqIz6/6YvPb/ri85s+evyaB9lDnosghs9v+uHPb9Y4v3opHEOazSRpP4727duLQEa9ExdjjDHGWGbzMTgKg/65h+DI/2r5dbSj0ICxTCNNMjKRkZFiATUtXKeuXNKO7rQ/iLaUDzHGGGOMpYR/WDQ6rr0Ot0/hiIlTYuXvZTQ9JMaypDTJyJw6dUpsbrhmzRqx9kG6vHv3Li1enjHGGGMsQwiOiMXv626KIMbewhDjGqXf5t+MsZ+QkaFMTBr3DGCMMcYYy1DCouPQdeNNPP0QAhtTfWztWQGOVom7rTLGfh7tWG2dSVA3tw8fPiCroc08pb2Cvoa6mal3s/uRln3J7TVDHTmoAxk1kJg7dy4H34wxxlIsKlaBnptu4Z5HECyM9LClRwXktf281T9j7OfhQOYnGjBgAB4/fvzNx9FeJ7TL/d27d8WeM9KE++XLl2LN0eXLl/GzeHh44Pbt2wkbdKbW5s2bceTIEbFeKil7e3vs3bs34WfaLJM2+fyS169fi400KRD5EgqESpQoIfaSoQt1HCtUqJC4TrfT5qK0qeXz588xffr07zomxhhjWc/Y/Y9w/U0ATA10sbl7eRSy//aeaIyx9JWm7ZfZf65evSo28pEaHlAwQmuGBg8enNB2mLIGlKl48eKFeNyECROwc+dOhIeHJ5Tr0fW8efNi/fr1KFq0qHge7anzM9CmphSIWFlZiXGcPXsWBQsWTPHz/f39MXXqVLERKAUPybXWUw9wqCW3kdHnvffpPP3222+4cuWKeA5tmnrx4kVkz54dvXr1wvnz58UeRLa2tmKz1VevXiU0oaDXv3nzplizpY4CprJly6Jdu3ZwdXVN5ZlhjDGW1fSv4Yr7HkGY1ao4SjjGb3bNGNMsDmTSSaVKlUSAoqurKybxtLfOH3/8ITIK6qVOFKxIO9hTIEMTfwocjh07JnaRr1evHt68eSM2Gj158qR43N9//50w4aeJvIODQ5qP/8KFCyKTQu9NGxF169YNs2bNwsaNG1P8GosXL0b//v3F8ahnTKSyLwro6PxI6Gcp4KEMEN1Ht1Ew9fHjRxEI0v20WdPy5ctF0EINJii7Ur9+/YQARkJlfE5OTp8FMYTO+eTJkzFjxgwRJDLGGGNfQ2Vkp4ZWha4OF7MwllFwIJPOpWQnTpwQk29fX1+YmpomyqbQZH3IkCEYOXKk+FkKaOgxNWvWFJkc2k2e5MyZM6HELHfu3GKC36dPH5FR+F60YyoFS8kFMZQdoSBB2k21VKlSYsfX1Dhw4ADOnDmT6DbKUt26dUsEKV5eXujUqRMMDQ3FfRSsUOndtGnTRJD377//imO1s7PD0qVLEzZHohIxyvZ8CWVb6DWoRI9QJosCqAIFCojgTEItw4cNGybOgXpAxRhjjNG/udOOPkP1Arb4NZ+tuI2DGMYyFu2dvcWEf/k+mQ6gZ5jCx8oBPaPEj42NAGJ0KEXw3+36n6/x+BpaVL5y5UoRxAQGBoryJZrAOzs7J3ocZSfosdJkntDamNGjR4vbKOtABg4cCE9PTwwdOhR9+/YVk28KZCjg+Bp6vru7O/LkyYMFCxaINTdbt25F5cqVcefOnWQXvFPQJAVVhMq2KGsxaNCgFB8/jY9Ku6j8Sx2tiaFyOgqQaExr164Va2NI9erVRWDTs2fPRM9p0KBBwnU6lt27d381M0THRFkb9cdQQDVnzpxEj6PAiAIlWgdEY2GMMcakf0dmHHuGdf++xbYb73BpRA1kN1ebVzCWycg8rsEy4g2gpHXI8V8cawPtDWRm5PzyffnqAh13//fzXNf44CQ5zlWAbkcTfpQtKQHLiGS+7Z8UnKrh0VoYKiOjzAn9SSVOtM6DUAkUrfOgkjD6y7JYsWJiQk8Tf7o9f/78CAgIEBmZbdu24e3btyIwoIyFtbV1ovdJyYajVKbWsGFDMQ4qX6MytUuXLn0WVCWHsjJ0LFWrVkX37t1TfPyfPn0Sa1bS0sSJE0V5G42jVq1aX3yctAaJVKxYETNnzvzsdgkFWpQt40CGMcaYZPHZV1hz+a24PrlpEQ5iWKYnPzcZ1d7fRtwja6BsZ2gL7Q1kMrhVq1aJIIW6ZNE3/1SWRd/809oWCkioJGzevHmoUqVKwnOk8iZaC0PZHMrItG7dWixKJ25ubgmlZqlBr0vjoexN586dRSYnpejx1F2M1vfQ2hwql0sJWmQfFhaW6DYKxlISeEmovEwqJyNUgkfNBmjdTaNGjdCkSZNvvgatq6E1MkFBQcneT2Okkj/GGGOMrL7khkVn4tdcTmxcGL+Vc9L0kBhLX5FBkHnfFVdVuatCm2hvIDPW++ulZepGvP7KYxN/S68a9ADBoaEwNzNL9hv8lKIyMpp4U9kYLUynoGT27NlifQeVaNE+JrSAPl++fGjevLkop6K2wkWKFBFrN3x8fMSkf8+ePWJth/SadD9Jbp+UL6GshFSCRiVjUjnZ19bIULtiQs+j8VCGhfaDSWkgQ6VjwcHBidafTJkyJaHcSzq3ScvIaG0LXWiMlLGi7m8SCjhojQ01UaBSNymQoXNBe9BQgFa6dOmEx9PtFKjQOaOOZ8mhbFeuXLlSdEyMMcYyty3X32HGsefi+oh6BdC9Sm5ND4mx9GdogbieF/D4xEYUNU/7BlLpSXsDmdSsWUntY/UU8X/+QCBDazKolIxKlmiNx/79+xNaB9MeMf369cO5c+dENzMKdmhiT5N+Wh9DwYb6GhnKTNCknNofU3MAQreRlGQ4pAX7SX1tjQx1HKPSMAocxGnR10+2hfLX/PLLL6JNslQGRoEMHY+0Rubp06dijYrUgpkCNQpEkr7PqFGjRFeyGjVqfDYWWjNE2aYyZcqIgI+CGwr+CLVdpgyOtP4oadBGGS5LS0txYYwxlrVddfPDhAPxe731q55XtFtmLEuQyYDsheFhUx3xG31oD+0NZDI4WociofUvtNcJoUwMrdmgheeFCxcWF/VuW5RpoEm6ekaGOm5RaZe3t3fCOhvKQBD10qvU+toaGQrAevToIcrKKLChcbdv3z5Vr09NCSh4SW49Cx0XrXXp2rWrKFmjLmSUmaI1KxSYlC9fPuGxVE5H2Zbt27eLc0P303gInQ+6T31/G2oaQJmu4cOHi2Og8j0KhCggUkeZHxojY4wxVt7FCi1KOcDCSE9kYxhjGR/3EUxHlF2hTSUpCKHSLMp+tGjRQky0qbyMFtHTehnJiBEjRLaGWhBT2Rk9j65fu3ZNlHVRqRqtsaFMAwUClMWhLmTpgTIblBXq2LGjCAQoq0TjSw06TgpMli1blnAbHR+tu6GSskWLFokghlATA7qPsjjUUY2CDimDQmtiKMihYITK3CgLIwV0VDaXdJNOWg9DTQ2KFy8uApWxY8eKjm3UelkqyTt69Chev34tjo8xxhij1srz25QQ62JSs56TMa0W5AHs7QnZo13QRhzIpJNDhw6JUigqoXrw4IFY3E9BCU26161bJ26jVsLNmjVLtryLSseo5IyMHz9edD2jCTyhNTeUnaDMhLQx5pdQKZd6G2IKLuh9U4KCMMoCURBGWaTvWTNEXc+o8xq1oKYAg1ot03Hdv3//s/UxdK7o2A4fPiyeQ6V0hP5BoQwWtYF+//59wnlIisZJe8a0adNGBIn0WoQaA9y4cQMHDx4Ur01rkaj72c6dO/kfK8YYy8KuufmLcjKFMv7fYblcJi6MZRlu54BHuyG/uwnaiEvL0knTpk1FwCBlTGjzxwoVKojbpbIumljTgvjkJtMLFy5MuE4dzGjyL60L+doeKhkNdQyjjS2lIIiyLl9bt0Mo8/LmzZtEe9mkBK3poQwPdXlL2omMWlpT8CSth6G1Oz/SzIExxph2u/MuED023UJEjALO1sbo+Su34WdZkFv80gdV7mpA4mazWoEDmXSkXvbVqlUrcUlK2n3+W9Q3zNQ26gEDBTC02P9bUhvEqGecvkR9UT8HMYwxlnU98Q5G1w03RRBTxdUGnSp+e181xjIdpQJ4e1FcVeWpDjz0g7bh2RxjjDHGsozXvqHovO4mQqPiUNY5G1Z3LgNDvdR15WQsU/jwAIgMBAzMocr53/YV2oQDGcYYY4xlCR7+Eei49gb8w2NQzMEC67uVg7E+F6ewLOpNfFkZXH4F5Nr5/wEHMowxxhjL9GIVSlFO5hMSjQJ2ZtjcvTzMDb9/CwPGMsv6GOSN36dPG3EgwxhjjLFMT09HjvGNC6FgDjNs6Vke2Uy+by0mY5mCUgnERcdfz6O9gYx25pEYY4wxxlKpZkE7VMufHTrcYplldXI50PM0EO4PGFsB/9+7T9twRoYxxhhjmVJoVCz6b7uLd/7hCbdxEMOYGhNr2rAP2ooDmZ/o+PHj+PDhA7KaJUuWpKjlcmhoKKKj/5/m/AERERFQUsr0C5uM0oaYc+fOTXYjUsYYY5lDZIwCPTbdxtFHH9Bnyx0o/7/pJWNZnkoFRIciM+BA5icaMGAAHj9+/M3H0d4ytHHk3bt3xV400oT75cuXYvPMy5cvQ1ts3rwZR44cgYmJyWf32dvbY+/evQk/165dGytWrPih96NAqESJEihZsqS40H4xhQoVEtfp9nHjxomNRZ8/f47p06f/0HsxxhjLmKLjFOiz9Q5uvg2AmYEu5rUpATlnYhiL5/sMmJ0b2P5bfFCjxXiNTDq5evUqOnToICbwFHxQMPLu3TsMHjw4YTNGyhpQpuLFixficRMmTMDOnTsRHh6OZs2aiefQ9bx582L9+vUoWrSoeJ6Li8tPOYbixYvj0aNHCT/36NEDa9euTfHz/f39MXXqVNy4cUMED0np6eklCnAMDAxgZGT02ePoPFBAFxwcnHAbve748ePRq1cvnD9/Hn5+frC1tcWkSZPw6tUr8ZjIyEjx+jdv3oSZmVmi16SAqWzZsmjXrh1cXV1TfEyMMcYyfneygdvv4dLLTzDS08HG7uVQ1CFlm08zliW8OgkoYwGVUqvLyggHMumkUqVKIkDR1dUVk/jr16/jjz/+wL179xKVOtEkXdrFngIZmqBbWVnh2LFjiIuLQ7169fDmzRuMGTMGJ0+eFI/7+++/Eyb8NJF3cHBI8/FTeZabmxt8fX1FwCEFGqmxePFi9O/fXxyPesZEKvuigI7Oj4R+lgKemJgYcR/dRoGJpaUl3N3dEx4rHf+aNWtEdqV+/foJAYyEyvicnJw+C2IInfPJkydjxowZIkhkjDGm/RRKFYbvfoBTT32gryvH2i5lUcb5v3+DGGMAXp2O/zNfXWg7DmTSuZTsxIkTYnJOAYGpqWmibApN1ocMGYKRI0eKn6WAhh5Ts2ZNkclxdHQUt+XMmTOhxCx37txigt+nTx+RUfheNjY2IlhK6sKFCyITRBkZynJ8rwMHDuDMmTOJbqMs1a1bt0SQ4uXlhU6dOsHQ0FDc9/HjR1F6N23aNBHk/fvvv+JY6fG//PKLCGZSgrIt9BpUokcok0UBVIECBUSZm6Rx48YYNmyYOAfqARVjjDHttOz8axy87w1duQwrOpZGZVcbTQ+JsYwlMgjwuB5/PV8daDutnb1FxEZ88T4duQ4MdAxS9Fi5TA5DXcNEj42Mi4RubHw2QGKsZ5yq8dGi8pUrV4ogJjAwUJQv0YTc2dk50eMoO0GPlSbzhNbGjB49WtxGpVJk4MCB8PT0xNChQ9G3b18x+aZA5ltZEno+ZTLy5MmDBQsWiBKtrVu3onLlyrhz506yC94paFq2bJkINCiQoaCiffv2WLRoUYqzMjQ+Ku3Knj17ottpTQyV05mbm4sxUakarY0h1atXF4FNz549Ez2HSsPoQoEMBXu9e/cWmSsK9JJDx1SnTh1s3Lgx4TYKqObMmZPocZRpokDJw8NDjIUxxph261TRGWef+aBX1TyoVchO08NhLONxOweoFIBNASDbz1mqkJ60NpCpsL3CF+/71eFXLK+9POHn6ruqi+AkOWXtymJD/Q0JPzfc3xCB0YGfPe5Rl//WiqQErYWhMjIKhuhPKnH67bffxH1UAmVsbCxKwmjSXaxYMTGhp4k/3Z4/f34EBASIifq2bdvw9u1bERhQxsLa2jrR+3xpMq+OytQaNmwoxkHla1SmdunSpc+CKnVUFlelShURCAUFBaFjx45YuHChCLBS4tOnTz+UzVFHTQ6aNGkizimVu1EWirIsX8pGqQegFStWxMyZMz+7XUKBFmXLOJBhjDHtZ2Wij339KnOLZca+VVaWX/vLyrQ6kMnoVq1aJYIU6pJF3/yfPn1afPNPazsoIKFJ+Lx580SwIJHKm2gtDGVzKCPTunVrsSid0CReKjVLDXpdGg9lUzp37iwyOd9C769u4sSJoo1ySgMZWmQfFhaW6DYKxlISeEkoE0TnjtpWSyiDMmjQIOzZsydFZXXUYIHWyFAwlhwaI5X8McYY004rL7rBxEAXv1eM/3KOgxjGvoDWKL/OPOtjtDqQudHhxldLy9RdaHvhq6Vl6o61OCb2M6HJb3Lf4KcUlZHR2hcqG1u+fLkISmbPni1aANNEnPYx6datG/Lly4fmzZuLcira36RIkSJi7YaPj4+Y9NOEndZ2SK9J95Pk9kn5EspKSCVhVJollZN9bY0MtStOmrl4//59it+TSseoy5j6+pMpU6YklHtJ5zZpGRmtbaELjZEyVtT9LamkY6FzQb8zCtBKly6d6HYKVOicXblyJdlxUrYrV65cKT4uxhhjGcfma+6Ydfy5uF7MwQIlHVO2lpKxLEkZC1QbBby5ADj9gsxAawOZ1KxZSe1j43TjxJ8/EsjQmgwqJaOSpQYNGmD//v0iu0ClY7RHTL9+/XDu3DnRzYyCHXovmvTT+hgKNtTXyFBmgiblZ8+eFc0BCN1GUpLhoKAiOV9bI0OL63ft2pWQAbp27dpXS9GSQ69x8eJF1KpVKyGQoeOR1sg8ffpUZFikFswUqFEgot6qmcrtypcvL9bISJ3K1MdCa4Yo21SmTBkR8FEJGgV/hJ5TsGDBhPVHSYM2ynDRupuUNhFgjDGWcey+7YmJB5+I64NqunIQw9i36BoA5XvFXzIJrQ1kMjpahyKh9S+01wmhTAyt2aCF54ULFxYX9W5b1AqYJvLqGRnquEWtm729vRPW2VAGgkitkb/H1wITymJQhuOvv/4S7Y3nz58vGgCkBjUloOBFCmTU0XF1794dXbt2Fe2kac8ZykxRtoUCEwpeCAUvdnZ2IvCjVs60Gej27dsTuqHR+aBxUsAioaYBlOkaPny42PuGyveoPfOoUaMSjYEyPzRGxhhj2uXIQ2+M2vtQXO9RJTeG1smv6SExxjTg+1MO7Jsou/Lnn3+KIIQWv1P2o0WLFmKiTeVltHid1stIRowYIbI11IKYys7oeXSdMhC0PoVK1WhiT5kGCgQoi0NdyNIDrd+hcrQaNWqIYIYCsC5duqTqNeg4KTBRD4Do+GidDpWUURc0CmIINTGg+yiLQx3VKOiQMigU3NFaFwpIKMjZsWMHqlWrllA2px7EEFoPQ00NqH00BSpjx44VHduo9bJUknf06FG8fv1aNDFgjDGmPagr2ZAd96FUAe3LO2F8o0KpWn/JWJYU/B64uQYI+YDMhAOZdHLo0CERBFAJ1YMHD8TCdApKaNK9bt06cRu1RW7WrFmy5V1UOkYlZ4R2sKeuZ1RGRWjNDWUlaFIvlVt9CZVyqbchpuBCfWPJL6FyKyqHo40x6fEUVH0P2rCSOq9RC2oKMKjVMh3X/fv3P1sfQ+eKju3w4cPiOVRKR+jYqQyPnkfZoVatWiX7XhQsUjezNm3aiCCRXos0atQIN27cwMGDB8Vr01qkWbNmYefOnfyPH2OMaRF3v3D8se0u4pQqNC+ZE9OaF+W/xxlLiWeHgGPDgb2J517ajkvL0knTpk1FACBlTGhPlgoVKojbpbIumljTgvjk/hKmVsfqHcRoEi+tHVEPTDI6appAG1tK640o6/K1dTuEysDevHmTsEFoSlG7Z8rwUJe3pJ3IqKU1BU/Sehhau/Mja6AYY4z9fM7WxhhYwxWPvYMxr00J7lDGWEo9Pxr/Z8FGyEw4kElH6mVflEVILpMg7T7/LeobZmob9YCBAhha7P8tqQ1i1DNOX6K+qJ+DGMYY0z70xd/AWvmgUKo4iGEspcL9gXdXMmUgw7M5xhhjjGVYLz6Got+2OwiP/q/zJAcxjKXCyxOASgnkKAZkS10H2oyOMzKMMcYYy5De+oWj07ob+BQaDSsTfUxrXkzTQ2JM+zw/Ev9nwSbIbDgjwxhjjLEMxyswAh3XXBdBTMEcZhheN35zaMZYKsSEA27nMmVZGeFAhjHGGGMZim9IFDqtvQHv4CjksTXBlh4VYGn8fWsnGcvSPjwAlHGApTNgVwSZDZeWMcYYYyzDCAiPEeVk7v4RyJXNCNt6VoCtmYGmh8WYdnKuBIxwAwLdqVsGMhvOyPxEx48fx4cPmWsjom+hPXLmzJmTsLnl11Arato/50fQHjHS/jtJRUdHi9f39vbGpk2bfuh9GGOMpY/BO+7hpU8Y7MwNsL1nRdhbfH2/NMbYNxhZAjlLIjPiQOYnGjBggNgU81uoJTPtt3L37l3RwlnaMPPly5ei9eTly5ehLaZOnYoXL15AV1f3s6CCjuXOnTuJ9no5evT/fc6/M4i5evUqSpQogZIlS4rX09PTE9fpQrfTJp90fpcsWYILFy780LExxhhLe2MaFEJ+O1ORiXGyNtb0cBjTXopvf4ms7bi0LJ3QhLpDhw4wMTERE3YKRt69eyd2nJf2MFEqlWJPFZro0+MmTJggdpsPDw9Hs2bNxHPoet68ebF+/Xqxaz1xcXFJ9/F37do12azF27dvU/z+dFy7d+9OFKxIKMAgdNwSAwMDGBl9/s0bvR+dO3W0oShtOFqsWDGRyYmJiRF77Zw/f168r5QBGz9+fLLvv2PHDrGvD90njYUxxpjmFc5pjhODq0LOLZYZ+zGHBwOfngG1JgJ5vrzPnjbjQCadVKpUKSEToaOjg+vXr+OPP/7AvXv3Eh5DZU4UrEibP1IgQxkMKysrHDt2TJRj1atXT+xyP2bMGJw8eVI8jnavlyb8vXr1goODQ5qPf/ny5Vi0aFHCz9euXRNBmKOjY4pfY/r06eJ41De3pLIvOmYpmFPP1NBtdK6kjA0FNuThw4ci6JPMnTs3oUTv0aNHWLlypTi/GzduTPT+9BgKdJKTL18+1KhRA//88w86d+6c4mNijDGWtmIVSozY/QAdKzqjnIuVuI2DGMZ+UFw08OwwEB0MyDPvdD/zHlkGQKVkJ06cEJNzX19fmJqaJspmUBZhyJAhGDlypPhZmvDTY2rWrCkyOVLgkDNnzoQSs9y5c4tJf58+fdCuXbvvHp+NjU2ya1eo5IpKsYyN/0vpL1y4EJMmTUoINL6FgjQqgVu3bl2i26tXry7WqEgBDP0sXffy8kKnTp1EZoXOjaenp3g/c3PzhOeHhoZiw4YNIuP1JR07dhSBF70uBUCUyaLMV79+/TB69OiEx9F7TZkyhQMZxhjTEIVShaE77+PIww+4+PITLo+qCVMDnpow9sPczsUHMWb2gNMvyKy09m8LZUTEl+/U0YH8/9/mf/OxcjnkhoaJHquMjISSJtf/zxqIh6lN6lOCMg+UKaCJeGBgIFxdXXHr1i1REpXoOJRK8ViavEtobQxNuOk2Ch7IwIEDxcR+6NCh6Nu3rwhAKJCRshZfQs+nEqw8efJgwYIFYs3N1q1bUblyZVFWJQVH6ihoUkfjppKy1ARNHh4e4j2Tlm1R5oSCCgpO6NxQ0ETnRgrg1q5di9q1a3/xdemcNmjQ4KvlbRRETZw4UZTHSajETD2rQ8qWLYunT5+m+JgYY4ylHaVShdF7H4ogRk9HhgVtS3IQw1haebwv/s/CzQF5yr6E1kZa+zfGi9JlvnifSbWqcFq1KuHnl5WrQBUZmexjjcuVg/OWzQk/v6lTF4rAQPgkeVyh589SNT4qw6IyMsqc0J9OTk747bffxH2vXr0S2Q4qCaNAgsqfaAIfGRkpbqdF6gEBASIjs23bNhFEUODy8eNHWFtbJ3ofesy3UJlaw4YNxTiofI3K1C5duvRZUPUlS5cuFWVxUjlYSlAGys7ODmmJAhEqedu7d+9XHyeNk4IpymxRYKh+u/q5owYBjDHGfi76t2/KkafYfccLVEW2pF0p1CiYXdPDYixziI0EXhyLv160JTIzrQ1kMrpVq1aJv6jHjRsnshKnT58WE2ta20IBCWU35s2bhypVqiQ8RyqxorUwlHmgjEzr1q1F5oC4ubmlao2K+uvSeCh7Q2VUlMlJKQqoDh48iMWLF6fqPWkRf1hY2GeZkpQGQ3TuKHhTz+hQmZ6trS1Kly6dotegwJDOtXppWlIpCQQZY4ylrbknX2DjVXdxfV6bEmhQzF7TQ2Is83h1GogJAywcgVzlkJlpbSBT4O7nnagSJFnHkf/Kv19+bJKJdZ7TpxASGgpzM7NUZSCSonIsWvtCZWOURaCgZPbs2aIF8KBBg8SC9W7duolF582bN0fPnj1FdqBIkSJo3LgxfHx8xCR7z549KFCgQMJr0v0kaZnU11SsWDGhBI3W4UjlZN9aI0P27duHX3/9VZSkpQYFXNSkQF3v3r1x7ty5hMX+lBFKWkZG54HQY2jc1MVNsn37drRt2/az96Jz8eTJE7Ro0UIEjhJ/f/+E4/hS1ii1x8UYY+zHHLz/HssvuInr05oXRcvSuTQ9JMYyl8f/r1wp0jxTboKZKQKZ1KxZSe1j5XFx8X/+QCBz5swZUUpG60RoTQftX0LZBSodoz1iaOE5TeppzQgFO/ReFFRQGRQFG+prZCiTQZP1s2fPiuYARNo4MiUZhS9lJFKyRmbXrl3f1VCAAgQzMzORRaL20YQW6Ustp2lM9+/fR/HixRMyUXQuKHhJDnUxO3TokFicL6HXoowWvQ6d46ZNm4pAjxoFECqf++WXXxKOMWnQdvjwYVFyxxhj7OepXzQH6hWxQ1lnK3SqmLISZ8ZYKhRrDSjjgKKtkdlpbSCT0dE6FAmtf6H9TQhlYmbOnCl2uy9cuLC4SFasWCH2i6FF8OoZGZrE0xoV6vYlrbOh7l3kR/ZA+dYaGSrNunjxoihz+x5UwjZt2jQRwCRFWSpqXEDnYvjw4aJVNbWaLlOmjHg/Wiek7sqVK7C0tBSBoYSCP8rAlC9fXpScqWd+6NxRMEjnk9YgUbMECmokFAhSuRwFmIwxxn4eA10drOhYhlssM5ZeCjWJv2QB359yYN9E2ZU///xTBCGfPn0SmQEqf6KWw1ReRg0BaA2HZMSIESJb8/jxY1F2Rs+j69RKmHaip1I1WmNz8+ZNEeDQRD49S6OoxTG9vnrwkBpdunTBy5cvReZDcuPGDTRp0kTsL0NlaxTEECqfo8dSMwMqv6MOa+ooEKS9eZJq1KhRoiCGsi50rqlEbf78+SJT0759exE00Z4zEgqAqIRPyhYxxhhL33KyqUeeJmTIOYhhjKUFDmTSCZVB0YaLVEL14MEDUZ5FQUnBggXF3ip0G7VFbtasWbLlXZQxoJIzqXUwdT2jybiUzaD1IrSAX9oY80uoNE19o0gKouh9U6JWrVqJAq3UoqwIlabNmjVLBBi0ZqZu3bqidI2CCgpo1FGXs927d4vjooyVeuBBgc+OHTu++n6UPbK3txdNFChIov1kaAwUtNBzKXikrBZ1jaNNNtXL1BhjjKWPU08+4s9dD7Du37c49MBb08NhLPMK9wPOzwQC3iKr4NKydELrNShgkDImtNljhQoVxO1SWRd1AwsODk52nQttQCmhUisKaqTNKJPuYJ+RUYtp2hiTskeU2aG9cMjXOolRZzUK/KQNQlOqWrVq2LRpE+rXr//Z+iY677Reh8rTpJbUP7IGijHG2LfRJpcDtt8TG1+2LOWAJsUT71PGGEtDj/YAF2cBr04CvS8gK+BAJh2pl321atVKXJKysLBI0Wupb5ipbdQDBgpgaLH/t6Q2iJF8bfG+FMQkHRNjjLG0d+ONP/psuY0YhRINiubAnNbFuaSMsfT0YHv8nyXaI6vg2RxjjDHG0tR9zyD02HQbUbFKVC9gi8XtSkFXh6ccjKUbn6fAhweAXC9LdCuT8N8qjDHGGEszoVGx6L7xFsKi41AxjxVWdioDfV2ebjCWrh78E/9n/nqAiTWyCq35myW5BfGM/Qz82WOMsZQzM9TDlGZFUD63FdZ2KQdDvcSbVDPG0pgiDni4K8uVlWnFGhlpgTttcvitDl2MpYeIiIgf3rOHMcayksbFc6JhUXteE8PYz/DmAhD2ETCyAvLVRVaS4QMZ2vXd2NhY7A1CE8n0XqRNu8VT0ERdwnhBeNY+v5SJoSDG19dXNAqQgmrGGGOJ+YREYdTeh5jZshjsLeK/dOQghrGfJMQL0DcDirUGdL+vWZK2yvCBDLUmpr1B3r59i3fv3v2UySvtaE/Zn+TaIrOsd34piMmRI4emh8EYYxmSf1g0Oq69gde+YRi++wG29ayo6SExlrWU6QoUawvERiKryfCBjNSKN1++fOKb/PRGG1FeunQJVatW5VKidKBt55fGyJkYxhhLXnBELH5fd1MEMfYWhpjVsrimh8RY1qRvHH/JYrQikCFUhvQz9lKhSSvtQk/vpQ0TbW3D55cxxjIH6krWdeNNPP0QAhtTA2zrWQGOVllvIsWYxqhUwIf7gH1JKmFCVpSxFykwxhhjLMOJilWg56ZbuOcRBAsjPWztWR55bE01PSzGshavW8Dq6sDa2rQIGVkRBzKMMcYYS5VpR5/i+psAmBroYnP38iiYw1zTQ2Is67m9If5Pm/xUuoSsSGtKyxhjjDGWMQyqmQ+PvIIxrlFhlHC01PRwGMt6IgOBJ/vir5ftjqyKAxnGGGOMpUp2c0Mc6F9Za7pPMpbpPNgBxEUBdkWBXGWRVWXNPBRjjDHGUtU6/6+Dj7H/nlfCbRzEMKbBRf6318dfL9styy70JxzIMMYYY+yrQcyMY8+w6do7DN/9EO/8wzU9JMaytndXAb+XgJ5J/P4xWRgHMowxxhj7osVnX2HN5bfi+vTmReFsbaLpITGWtT0/Ev9nsdaAYdZutMFrZBhjjDGWrNWX3LDozCtxfWLjwmhX3knTQ2KM1Z0O5KkOZHNBVseBDGOMMcY+s+X6O8w49lxcH1GvALpXya3pITHGCLVazl9P06PIELi0jDHGGGOJ3PMIxIQDj8X1ftXzon8NV00PiTEWGxV/YQk4kGGMMcZYIiUdLdG3Wl50reQisjGMsQzg3hZgYRHg5hpNjyTD4NIyxhhjjCVCrZVH1Y8PYLjNMmMZgFIJXF8BRPjFt19mAmdkGGOMMYarbn7ot+0OomIVCQEMBzGMZRCvTgIBboChBVCyg6ZHk2FwRoYxxhjL4u56BKLnptuIiFEgv50bhtTOr+khMcbUXVsW/2fpLoCBqaZHk2FwRoYxxhjLwp54B6Pr+psiiKniaiPWxjDGMpAPDwD3y4BMB6jQR9OjyVA4kGGMMcayqNe+oei87iZCouJQ1jkbVncuA0M9HU0PizGm7vL8+D+LtAAscml6NBkKBzKMMcZYFuThH4GOa2/APzwGxRwssL5bORjrc8U5YxlKiDfw7Ej89V+HaXo0mTuQ8fPzQ+7cueHu7p6WL8sYY4yxNKRUqtB7y234hEQjv50pNnUvD3NDPU0PizGWlHlOoN81oP5swK6wpkeTeQMZCmIaN27MQQxjjDGWwcnlMsxsWQwlHC2xtUcFWJnoa3pIjLEvsS0AVOyr6VFkSGmWQ27Xrh06dOiAGzdupNVLMsYYYyydlHLKhgP9KmXoFstKpRIREREICwtDeHi4uNBtqv/vo6GjowNjY+OEi7m5OeRyrppnmUREAGBspelRZI1AZs2aNaKsbPDgwWn1kowxxhhLI6FRcVj5TA7HEsEo7WIjbtN0EBMaGoqnT5/Czc0Nb9++FRcPDw+E+n+EPNwHhrGBsDZQ4YKbEjI9HZia6qFMLh0UyaOCnlwGXaigFwUgVglFnAKRsTIceGeGKENb2NnZoWhuO+R3zA4rp4JwKVAchYsUgaWlpUaPmbEUCXwHLCsPFG4ONF0K6HLWNF0DGQpiUio6OlpcJCEhIeLP2NhYcdEk6f01PY7Mis9v+uLzm774/KYvPr/pJzJGgV5b7uBZkByDdz7AycFVoKfzczMXPj4+uHXrlrg8ePBABDCenu7Il8MU1QoawbSUDizz6sGghB5qntaFrW822IZbArFyQG2KEaQEejf6b/oycZsCRT3iMzRyXSWq6sTBVxmF0FhPxL1/B4NC0cjuFwfjd7Fw2xINvyh9hOrZQGVTAPpFm6BoxVpwdHT84aCOP7/pK6udX/nlhdCJi4Iy9AMUKhkdeJY6v7EpHIdMJeVn0wj9RUDfqLi4uHzxMZMmTcLkyZM/u3379u0iNcwYY4yxtBGnBNY8l+N5sByGOioMKKyAo+nPCVweP34sLk+fPIKDXhBqFbBE1Tg5cqsM8O69Lhz09aGvkuGTOdC//3/ByZTNcSj4PvHrKaFCtJ4MwcbAsJ4yQAUo5TJM3q5Efu/kxxBqCPQY+t/rDt8bB5dPKlibxyCHRTRG3gjBbq8I6FlYoGNlZ9QuYApZztKQO1eAQtck3c4NY19jHO2LWs9GQa5S4N98Y+FvWhBZTUREhFiyEhwcLEpGM1Qgk1xGhr4NoYYBXxvsz4oAT58+jTp16kBPjzu4pDU+v+mLz2/64vObvvj8pr1YhRKDdz7E6We+MNKTo0+BGPRumT7nl/5dv3z5Mo4dO4bjx49DFvYO5aqawaywCT7ZG6HbDh24fvj8eZF6gLe5EgtrRiPqUwwCP8TAzhuICVbiw4cIBEXGIUKpRLRKJeYYtC6G0PW4uDixXkZfVw4jFWAp14GVri6y2xoiVw5jGBjr4FAhJQxt9WFgb4ClG1XIEfT5GN5ZqPDBNhY5fw1H2ehoZFMo8T7OAjF2pWFXsTUMCtUHDC2+evz8+U1fWen86hzoA/mTvVDmqQFF+91Z8vyGhITAxsbmm4GMRhrGGxgYiEtSdOIywsnLaGPJjPj8pi8+v+mLz2/64vObNhRKFcbsvS+CGJror+xYCkEvbqTp+Y2MjBRBy65du3DmxFE4xsWics5smJPdHLmNXNG9ng7idONLttxyKGATooKffjReBYTh3KcI3IuIga9CCReX3Mh9Iz+K5s4Nl4ouyJkzJ7Jnzy7WuVhZWcHU1FRcaO6gXgJGQQwFUFJDAH9/f3z69ElcvL29RSfV4u7ueHP+DV68foVO5jooYGcCF1+gqL4hihoawlFfH87BMsQY62N4jviqkELRMfjtTixcI27A2e88ZEdlOJB7Gmq3+B0WFl8PaPjzm74y/fn98AB4sldcldeZDPlPPla9DHJ+UzoG3vmKMcYYy4Q2XHmLg/e9oSuXYXmH0qiU1wrHXvz46yoUCpw5cwabNm3CyWOH0KqoAbroGmNK7hxQRP5/WhEQ/0cp91h8jI3Ah/thGH8rDIg2QNmyZVG+WXl0KFkSM4oWRYECBZL9cjMlKKgxNDQUFwp4nJycvvqN86tXr/DkyRPcv38fJ27dwtRbt6CrikAlF0voGusj0sMARk5GcFfpIf9lOXSVBnihbwYd20jMmzcKnXr/iXoNG2JRTQUcc9pBp2ADIH99QJ/L0FgaOTMp/s9ibQD7EpoeTYbHgQxjjDGWCXWs4Iwrr/3QsnQu1C5s98OLeCkIWL9+PTZv3gQn+yAUqGeFYW0d0eJS/P0KWsciU+JCaDhu2Stx1j0QkStMUL16dfRoXB1V51RFkSJFEkrDNPENb+HChcWlTZs2CRmdly9f4tKlS7h48SKiVl2Ae6g7XAtZ4F+bbCgToAuzGB2o3ptivaMpgvRUuBDwEL5vw+EcEAU83g2ljiHkBRtCVqg55MoYjRwbyyRCPgDe9wC5HlBjnKZHkzUDmTRecsMYY4yx72Ckr4P1Xcv9UDcuWoNy5MgRLF++HDeunEfbYnZo3dUU5/Jb4w6Aj1Yq1L+mwMscsbj48hM2eoWhRLlyaNSoEQY1aoSSJUtm6H1d6NxQRoguvXr1EnOYZ8+eiXU+u48dw58vLqO0vj7qmpmjtpkprKCL5r4G2BBrhKFWcWgeFobucRGwfrIPuk/2ob7cCHKLV0DNsZo+NKaNzO2BQfcBj2uAVcq7AWdlnJFhjDHGMokVF9wQHh2HYXXzi0n69wYxtMB29erVWLp0CYrH+qOyyhyzcueFUZAM157IcDGfCi4fwuFzKQi/vgpDBdtf0XbMcLi3aCHWtWgrOl9S1mb48OEIDAzEoUOHsGfPHsw+cwqV85ihubUlLrvqI8xCH5strOD2yAJVH8XC0SUUVXJE4vT5SyhRpEf8eYiLBoI8ARtXTR8a0xZGlkCBBpoehdbgQIYxxhjLBDZddcfsE8/F9V/yWqOya/yml6lBm1EuWrQImzesRc/SRjiWwwQ6Ic7xd8YB7yxVuB8Qijd/foRO7hLo0mUoDmz8TauDl6/Jli0bunTpIi5BQUHYu3cvNm/ejJtj/oVFeQtkq5YN9e/po8B7XeBdNpxSGmFb0HW0nOuMdp06YUrbEsh5dTzgXAUo0xUo1ATQM9T0YbGMJjoUeH0WKNyMomlNj0arZNx8L2OMMcZSZNdtT/x16Im4Pqima6qDmDdv3ojSqhLF8sEzeCtWVciJLu+toBNiQBs14JEsFJ29PNDx1SfolfsNVy7ew507dzBo0KBMG8QkZWlpiR49eoi1NK+evMKAagMQuTYSU95446htDCKVSjjJDTHGyh5HczvB5NkprJk7GkqquH/3L7CvJ7CgIHB8NOAbH3AyJlycA+zuAhwaoOmRaB0OZBhjjDEtdviBN0bvfSiu96iSG0Pr5E/xc93c3NC1a1f8UrogwuSHUHx+Hjyvaoer+XUQbghccYxAM083zDd3wIBly+Hl5YX58+ejWLFiyMry5MmDKVOm4N27dxg/fwNOGORGTbfXWEStn+PikF2lg77+Jsgnd0KBl4YYdTUGn2IMgMhA4MYKYHkFYEsLICZC04fCNO3TC+D68vjrhZpqejRahwMZxhhjTEudeeqDoTvvi2/925d3wvhGhVK0Lob2WPnjjz9QskghmL08h4O588LG1AYBerqwiY6DW/An1H/zGicty2Pzmcu4ceOGKK8yMjL6KcelLagTWsuWLUU76nO3bsGtVEk09PLANJNgeFqocKK8HIb1s+Nwq9wo/0KO5ntjcCvMDiqZHIiNAvTj960RlNT3jWUp1CDr2AhAGQfkp1be9TQ9Iq3DgQxjjDGmhXxCotB/+13EKVVoXjInpjUv+s0ghjawHDduHIoXcEXei7twJJcT+gWYwCISqPJQgVwnP+Dmn2+Ry6wtbt5/gd27d6NixYo/7Zi0GWWpBg4ciOev3eBcryvaPvfGweNeiHwXCR1DHXS2tsY4uQu2nItA0aXhmHnfUmzgKYT7A4uKA2enAqEfNX0o7Gd5egB4exHQMQDqz9T0aLQSBzKMMcaYFrIzN8TU5kXRsFgOzGtTAjryLwcxSqVSLFLv1+8P6NzZjMv5HNBImR3ZdfXgrYrDNLNg9LruicL2XfD61Vv8/fffonyKpR6tGZoxYwbeur/D8GbDEbg4EO8WvUPxZwqYRgN/RJhhhaUzbm06jnyurli8eDEU97YBIV7A5XnAomLA4cFAwBtNHwpLT1HBwIn/t+muMoTbLX8nDmQYY4wxLdW2rCOWdSgNXZ0v/3N+/fp1kVX5e9lAzK9pi87vswERupDpK3AIn9D8nSfsq3WA2xt3sf7F3t7+px5DZkUdzyZMmIC3b99ieIvh6PnoAybqBMAjJga2urqYbm+PdTmtsXPFZJTovRz38v0JOFYEFDHAnY3A0jLA3l6A7zNNHwpLDyfHAaHeQLbcQJWhmh6N1uJAhjHGGNMSL31C0WHNdXwKjU647UvlZLQO5vfff0ezpr/CtcFHKAflwdGS+ojWBc7njkSVV2/xplorPHv9GvPmzYOtre1PPJKsw9zcHBMnTsRrtzfI26Qb2nz8gDm+vghVKlBQoYd1sEPtvDGoMGQ6Gu3ThUetVYBrbUClBB7tAlZVAyICNH0YLK2V+h2wyQ80Xw7o8dqz78WBDGOMMaYF3P3C0XHtDVx188e0o0+/+LiYmBjMnDkThQrmh/Gr8+jb0hWP8lhASRtkysPRIdQdx3SK4sr9x1i1ahVy5cr1U48jq7K2tsasWbPw5MULRNevh8Yf3+GIbQxidIEnNY2Rb2Y+3DG6g3wNumDkw7yI7HwyvotVyfaAsdV/L+T3SpOHwdKKUwWg33XAuZKmR6LVeENMxhhjLIN7HxQpghjKxBTMYYbJTYsk+7hbt26JvU4MXr/Gjvy54BKkg5h/gVcu0XA7+gFX35hj5cpdaNKkyU8/BhbP0dER27dvx9WrVzF48GAsDH4Cg492MLUyhW0TW/TXs8SNUxtRbN8+rF69GjWrV//vyR8fASurxGdsqo8FcpXR5KGw7xH2CTD9f/ZTrqPp0Wg9zsgwxhhjGZhvSBQ6rrkugpk8NibY0qMCLI31Ez0mIiICI0aMQMvqlbDIKACbnZzhEqWDYEMVFhqH4MQsH7RuOlEsLK9fv77GjoX9p1KlSqKt9cxpKxC1OQrvlryDw5NotLwnw9woawxQRKNt3bro2bs3AgMD45/keROQ6QCvzwBrawLb2wEfHmj6UFhKvTwZ38zh2v/3jWE/jAMZxhhjLIMKDI9Bp3U34O4fgVzZjLCtVwXYmhkkesyFCxdQvHhxxN7eggMF8sA+2Ezcvi8kEPWfvoZeiYZ4/vIVhgwZIvY9YRmHXC4X+/O8fPkSA+oNwLXlnthhEwkFVKhnYIojufPAb/duFC5cGHv37gXK9QAG3gZKdABoL5qXx4FVVYEdHQGfJ5o+HPY1wV7A/r5AXCQQ7Knp0WQaHMgkcejQIcTGxmp6GIwxxhhG7X2Ilz5hsDM3wPaeFWFv8d+i4ODgYPTp0wft2tVBjd/i0N03G4wj5Ig2icO8aC/ssrXD6SvXsGbNGmTPnl2jx8G+zszMTLRsvnH7Hi7IHNHW3R1Po6JgoaODmfY5MS+vGYYP6Cw23/SOMgRarAD63wKKtaF2D8DzI8CWFoCC5y8ZEv1e9nQHIgMA+xJArb80PaJMgwMZNUeOHEHr1q0xevRo8e0IY4wxpkkTmxRGaSdLbOtZEU7W/+0CTzvJFylSGF5Be5B3ej5cz2+G3b/K8G/eaNR97YU8PUfj9u3bKFeunEbHz1KnYMGCuHjxIgYsWIAe/n6Y98kX0XIVSvvpYFMuJ1yNvIyixYrGZ2dsXIFWa4F+14DCzeNb+Or8P+OmVAIBbzV9OExybhrgeQMwMAfabAT0DDU9okyDA5n/+/DhA7p16yau63l5oWL58li7di1UKpWmh8YYYyyLypXNGHv/qATX7Kbi5+joaAwfPhztWjXENFdj6JewR4iuDhzDo3H49jtsDLLHxet3MW7cOC4j0+Jys379+uHR06fw+eUXtA7wxANrBXZVlcO2XQ5Y9rVE+77t0b17d4SGhgLZCwFtNwEV+v73Is8Oxu9Dc3AAEMRlTBr18hRwZVH89aZLASveaDYtcSDzf5Se9/Pzg4uePrY6OWOptTXG//EH2rRpg4AA7t/OGGMs/cUqlOi37Q5OPP742T4xz549ExtbXl25Agdz50GFj7roeVKBArf8cHWsN3p2nY3Lly+jUKFCGjwClpbdzQ4fPoxpi9Zh0KsgbLvhDUWkAib5TdCyZ16EPjyOUqVKiQ1PBfX9hDxuACoFcG8LsLQ0cGwkEOqjsWPJsuic7+8df718b6BIc02PKNPhQOb/pkyZIv7yz2MQ3wmmgrEJDrjkRsjJUyhRooRYTMkYY4ylF4VShaE77+PYo48Ytus+AsJjxO1UGbBy5UpUK18GU3V9sC6XE6yiZPCwUGHsO2+EvCyGBw+eYMCAAeLbfJZ5UBDbrl07PH36FHUd6uL1hNfQeRSOwaeAKWGW6GcQi/pVq4o5TFxc3H9PbDAL6H4KcPkVUMQAN1cBi0sApyfy5po/k2l2oNJAwKEsUHeapkeTKfHfeP9XsmRJUU/s2qEDWrm/xaPISLHIbrGDA3rHxqFxrVoiVc+NABhjjKU1pVKF0Xsf4sjDD9DTkeHvjqVhZaKPT58+oVmzZti/dCSOF3JA3lAL8fh/AgPR9rE7ug+dghMnTsDZ2VnTh8DSkY2NDXbs2IG189fi3Vo/HDCIEJ3NGiiMscfRCQdnzUK1atXw5s2bxBsudj0CdD4E5CoX3y3rymJgV2dNHkrWQlmyX4cB3U8Auom7DbK0wYGMGmNjY/z9999oP2wYBoSFYrW/H5QqFVpbWmK3swsOzl+AKlWqwM3NTdNDZYwxlklQxmXKkafYfccLOnIZlrYvhRoFsuP8+fMoXrwYHIxuYY7MAcYhulDpK7Be6Y19tja4fO2m2FCRszBZJzvTuXNn3L33AP/KcqGzhwe8YmLgoKeHTY5OqKLwRNmypbB///7ET8xTDehxGmi/E7ArBlQZ8t99MRHxF5Z2aG31zTVAdNh/t0lNGFia47/9kkE1yDfv3MHD4sXRzdMTH2Jj4aKvjxqmprh58ybKlCkj2jQzxhhjP2ruyRfYeNVdfHk7r01x1C1sh1mzZqF167qoMtQYVxpY41kuGV7mUqKVnwei6nXGrVu3xN4xLOvJnTu36GzWYswYtPb0xIHgYOjIZOgaZIJVhXOga892oiFEogoS+nAVqA/0uQTkrfXf7deWAUtKxk+846I1cjyZzoVZwLHhwMZGgEKt3I+lCw5kvsDBwQGnT59Gm8mT0MbLEyv8/LDS3y+hdz+l+qnUTKFQaHqojDHGtNSZpz5YfiE+yz+teVHUyG2KFi1a4OTmmSg/JS+e25lAVwXst/dHn8eBmL92H5YuXQojo//2k2FZj66uLiZMmIBT/17GOhNjjDMIQIQ+4J9DBzkn5cGqk6tQs2ZNeHt7J34iZe+kpgCUOaDuZmE+8RPvpWWBu1t48v0jLs8HLs6Kv176d0BHV9MjyvQ4kPkKStePGDECp65exQmrbJD+19aTyTDXPif2z5+PevXqiRpmxhhjLLVqFsyO3ys6Y3yjQihiECgy/mbet7BQnhONLsmRPToWqmVvEfKxNB48eISGDRtqesgsA6lQoQLu378Pk+J10db3HZYWioGuuS6c/3TGO6uXKF26FM6dO5f8kymg6XkOaDgPMM0BBHsAhwYAyysAj/bE70XDUu7qUuDslPjrtScB5XpqekRZAgcyKUD/sNy9e1d0DiF9rKzRyNwc25ycYX7rNkqXLo0bN25oepiMMca0hLRHmVwuw5RmRaDz+iLqVqmErhERGBdqAYM4wOJDHJ6OdUOr5mNw9OhR2NnZaXrYLAMyNTXF5s2bMXLyQrgt8ELA+QDIZcB0hTVmFrBAm1YNMWPGDCiTC0x09YHyvYDB9+O7ahlbA/6vgb09gLOTNXE42unGKuDU+PjrNcbFb07KfgoOZJJxOOIwznmeg0KpSPQXxfbt27F48WJsDw3BhbAwGMrlmG5vj16xcahVtSqWL1/OG2gyxhj7qoP332PQjvuIiVMiKioKvXv3xpoRfXG+oD1aW1iKJjOrTMMw7HkgNv9zDOPHj+cF/eybjQBoP7x/L/4LvQt6MFjhg+JvVajoo4MdNrmwdcoUNG3aVJTGJ0vPKL5N8OAH8RNxIyugtFp3s6gQztB8yY3VwPGR8derjgCq/f86+yn4b8YkHvo9xI2YGxh+eTga72+Mbc+2ISI2IuEvikGDBuHQuXOYrlJi8adP4h+cNpaW2GifEzOGDEHXrl3FP0yMMcZYUqeefMSfux7g8ANvrDn7WLTMNXx5CMsdckMepg+ZvgJ/+nrhhl4u3LlzF3Xq1NH0kJkWKVu2rKggsbOtgC6h7/Eeccilo4ftTs7QvXxZNDN69erVl1/AwCx+Iv7nM8A673+3HxkKrKz8/5IzXhucSN6a8ZmsqiPjg0D2U3Egk4SDiQOqGVSDhb4FvMK8MOvmLDTY1wCbnmxKCGgqV66MO3fv4kXxYujl5YmAuDgUMTTEHmcXPNm9Wyyw+/jxv12ZGWOMsUsvP2HA9nti48vqzoaY2aMhXEu8Q6cQKxhEyxBgFYf2nu4o8Ht30ZWKdnZnLLWsrKxEZ9Xf/hiDNm7uOBcaCgO5HDPtc6K9XTQqViwvmhl9lZ7hf9ejgoHXZwDfp/ElZ8vKA/e3A4osvK+eenbKxhXofxOoOe6/Rgrsp+FAJglrI2vUMaqDY82PYULFCchlmgsBUQGYd3ueCGheB74Wj6NaZfqLoOrAgWj9zh0PIyPF7X5xcbh27RrKly+Pe/fuafhoGGOMZQQ33wag95bbiFEoUcwyDgfHNUeVPjp4WNkWi5vJcStvLJo99cbI5ZuwZMkS6Ovra3rITItRKeKYMWOw9+RJTImNwYogf3F7m48GmFjGFo3bNBafsxSVwxtaqJWcZYtfQ3PgD2Bp6fi2zTHhyFJ8nwOrqsYHdxITG02OKEvjQOYLjHSN0LZAWxxqcQhTKk0RAY2xrjGcLZwTtT+kXv/Ld+1CvwB/dPP0wLv/92339PQUm2fu27dPg0fBGGNM0x54BqH7xluIilXCQRaI2/M6oGOfHHjiZA4dlQoR7z5h0jMlLvx7A+3bt9f0cFkmQhUiN2/dwqUcOTFGzx+hhsD5GvpwGe+CkXNHolevXoiJifn2CxlZxpecDXkE1J4MmNgCQR7xbZvvbkaWcf8fYE0NwOcRcHxU1s5KZRAcyHyDnlwPLfK1EAHNyjorxc8kVhmL4ReH457vPdHz/8LVq4iyt0943i/GxlhkZYXubdpg2rRp3ASAMcayoKhYBfpsuYOw6DiYRXgjctdg7HJ2RJfjunD1jYPpZg8EvS0sNlsuWrSopofLMiFnZ2f8+++/0Mn/K+p/csdTnRjo2+ojz/g8OHl3D2rVqgVfX9+UvRitoakyBBj8EGgwF7AvAZTs+N/9764C7+8g06HyugP9gQN9AVpmkKcG0O0EoBM/J2Saw4FMClEA42z+XzZmz8s9OOl+Ep2Pd8b4f8cjp2tO8Q8RZWHoYz01hz2qmJhih7MLNkydig4dOiDy/+VnjDHGsgZDPR2MrWEPXb9XyL9jNNbq2sAmXIZAAxXe/O2Bovk74NSpU7Cx4dIUln6o8+ru3bsxqNcovJnyBmFPwuAaKMfBOHsUwzuUK1cOjx8/TvkL6hsDFXoDfS4Bhubxt9EXtidGA2tqAuvqAY/3AnEpyPZkZHRMT/YDf5cD7m8FZHKgxnig017A1FbTo2McyHy/us510SpfK3H9oNtBNNnfBKf9TuPU6VP4vXt3/OHlBa+YGDjr6+MfJ2e8P3wY1atXT/m3HowxxrSWlIWntZJ9W9XCzHuzMM0qO4xkclxBJNo9c0fvkXOwYsUKXg/Dftq6mUmTJmHHxh3wXeGLksfDYRQDDPxkgu7R0ahaufKXN89MidhIwLYQQJUrnteBPd2BBYWAUxMAv/j1xVrnwwNgd1cgzAewdgW6HAGqjQDkOpoeGfs/DmR+oCnApEqTsK3hNhS2LozQ2FDMvDkTPc/1xJh5Y9B35gy09/LE7YgImOnoYLlDLuR5+RK//PILXr58qenhM8YYSyc+IVFos/Ia1u45hnq1qmJhcRMUDc8m7rurH4TRviHYvf8o+vfvL9r6M/YztW7dGlcuX8HGtwos0g8W20i0tcyGmWbmaNmggdhc87tQlqblqvh1NLSfimkOIMIPuLoE+LsMcEZLNtikPXMkOUvG76dTbTTwx1XApbImR8aSwYHMDypuWxzbG27HuArjYKJngoefHoqWzX/++Sc2HziAwUGB2BsUBB2ZDBPtcqB5SCgqV6qEq1evanrojDHG0ph/WDQ6rr2B2+8CMff4LYxpYo/i7npQyIATBp8wLdYS127cEOsSGNOUkiVL4tatW3ho4ozB3u8RqVSiqqkpNhd2wtgRfTFlypTvX9trbg/UHA8MfQK02w641okvyXIo899j/N3iWzhHBiLD+PQCODosPosU+O6/25ssAWqMAXQNNDk69gUcyKQBHbkO2hVshwPNDqCOcx2MrThW3N6wYUP8e/061hoaYInfJ3Gbja4u/Pz9xT9i+/fv1/DIGWOMpZXgyFj8vu4mXvuGwSbmLvKW3Y7NVfVxLy+w3NYfh6yKiS+x8uXLp+mhMia2kaBSMst69dDV0wOBOkrki9TFdkdnbNw8Fz169EDs/zuxfhcdXaBgI6DTnvgNNvPV/e++hzvjWzjPdQU2NwOu/g34Potfk/IzUTncw93Ahobx++PcWgvEhAFPD/z3GM6aZmgcyKShHCY5sKD6AuSxyJNw25moMxi6fShuuDihj5cn/vr4QdweFRWFVq1aiT7ujDHGtFt4dBy6rLuBpx9CUCr8JMwKbYensT7MVQrM+eiBYMc6OHHiBLJliy8xYywjMDIywq5du1CnXz908PGAl5kKHnYymIxwxJ4He9CoUSOEhKiVWn0vsxyArtpaMPOcQPYigDIOeHMBODUOWF4RWFgE2N83vktYegr1Af7pAMzJA+zrCby7Ep81KtAQ6HIYqDw4fd+fpRndtHspltSLgBdY+2gtVFChxKQS8N1og9i9pxMiyGE2Npg9bBjc3d0xb948sRCPMcaY9rVY7rruOu57BaO033GMu3kWZ4NlOP9LDJ7OdkfHDsNEG37+O55lRPS5nD9/vmjT/NuY4bCtaA99Q3M4DXDC3X/uonKVyjhx/AQcHBzS7k3LdI2/UInZi+OA21nA/QoQ8h54fgxotvy/x9Lamgh/yK3zI3twAODjDFg5xW/O+aVsCWV2ooKAYK/4y6fngK4hUPGP+Pvpue6X41spWzgCpToBpX4HLNLwGNlPwYFMOsqfLT8mV5qM2bdm44H/A1i0skCrvK2wd85e/GFtg25W1mhsboG+y5fDy8sLW7ZsgYEB12Ayxpg2mXbgHm55BKOW2xUMeXwWuirA5a0C946+weQZf6NPnz6aHiJj3zRo0CA4OTmhQ6cOsAyOhXVNK0zKlh3usaEimDl18hTy58+ftm9qnReoNCD+EhMBeFyNz5aoB/1U5hXwBtQn7Bf6+c38+Nt1DIDshYA+F/977IZG8UFLTDgQl2TLC6u8/wUylB1quhSwyg3kKM7lY1qMA5l0RN1oaDPNsjnKYuTFkXjs/xjBhYPRakkr7Bl+ELXNTFHAwBCbnZww6OhRNG7cWKyboX7vjDHGMj43NzdsG9cJc1ytUexNgLjtlHk0Jj70wfbtB0RpDmPaonnz5rhw7oKYj+T0DECtDxaUvoCRLBhVKlfG8RMnUKaM2qL9tERdz1xrf357rYmAzxMoPz5BqOdjmMvCIYvwBxTRgCLJPjWRAfGd0iTG1vEZFwpYcpaOz9RIQUuR5ulzHOyn4kDmJ3A0c8TmBpux4M4CbH22FS/MX6DM6rro1vsM5me3wy8mJliZyxEjrsd3sjl69ChvjsYYYxkYdXR68OABGjSohwWFDBOCmINRAVgUJMPZsxdRtmxZTQ+TsVQrX748rl+/jgYNGmCBSTD+jLBAB30LmOsFo3b16th78CBq1qz58wZUpIW4KGJjceHYMdFISU+mjN/bRaVM/NjW6+Nv0zOKb/9MwRHL1Lhg9yfR09HDqPKjsKjGIpjpm6F35d7YffQohgcF4kRICPRkMizImRMuL16iatWqotSMMcZYxgxieqw4jQZDZ2NuGTOU9I6fLF038sc6PXNcu3aNgxim1fLkyYN///0X9+Q5MdLbG7EqlSiFn2tnhVatG2Pv3r2aHSC1QrZ0ArK5JL6dSs3sigBWeTiIySI4kPnJajnVwtEWR9HMtRlq166NU+fPY665AjuDgyCXyTA6e3YEvnqFypUr48WLF5oeLmOMsSRBTM+lR3HFMwjV2rzAxaIGiNUBdjiFYAkcxOQvd+7cmh4mYz/M1tYW58+fR2T5chjw3guRKiUq6xpjXREn9O3bCatXr9b0EBnjQEYTshn+134zb9G8yDexAHb2tsTKUH8M8/bGx7g4eHh4oEqVKrhz545Gx8oYY+w/3efvxs2PgSjiPB1PTGJxrwAwOZcvLsbkw4ULF8TeHIxlFmZmZqLc3a5BA/SN+IhQAxXy+8lQ43dnDJo8CNOnT//+jTMZSwMcyGiYe4g7ohEN3Ty6ODsqO65ZxyXcpx8UjNo1aohvRBhjjGnW79M24sGHEIy9NxcBsQqYKpTQ2+ABhdGvYo8YCwtaGM1Y5kLdVHfs2IEyjTugywdPzPtVgWcl9JB7bG5M3zAdI0aM4GCGaQwHMhpWKnspbGu4DU5mTpBZyOA6wRXm5czhoKeH7c5OmGZujuYNG+LIkSOaHipjjGVJNEnrMHEFXviqMO/fRSj5NhYDDyoQsfQtCrm2wZ49e2BoaKjpYTKWbnR0dLB8+XK0/WM4tm5/g4jXEdA11UW53s44c3Qd+vXrB6UyycJ7xn4CDmQygLyWebG90XZUylkJ0AOc+juhRHVbmMt1UNPUDItsbNGhZUvxjyVjjLGfG8T0GzMV0QGhmH95FeyDFfhopsLIxx6oV2cA1q1bB11dbgDKssaWEpMnT8bCmQvxds5b6N8Ow6R9wGqDHLh9bge6du2KuLj/qkoY+xk4kMkgLAwssKzWMnQu3Fn87NHRCiMcQxCmUKCiiQlW2NujR/v2YtNMxhhj6Y++YaZNAt03zcT0y+tgExmMtzHRaP/4DXoPnYg5c+aIyR1jWcnAgQOxed1mvF3njQCVAmZRwHKVLZ7u2YN27dohJibJ3i6MpSMOZDIQXbkuRpQbgelVpqNAtgKwz10bPbw8EaxQoLSRMdY6OGBQt27cKYQxxtKZQqFAz1694HV5C6bZOUMVLYfSJAaDP3li4vxFGDVqlKaHyJjGdOrUCWu3/oPuj97hRlQETOU6WJ3LER+OHxebakZGRmp6iCyL4EAmA2qatyl2Nt6JTas3oUq3bujq6YEApQJFDY2w0dERY/v1w+LFizU9TMYYy5RiY2PRpMcweJhGo6u1PYyjZPhoo0SjFx4Yt3SNWA/AWFbXsmVL7Nh7AEN8P+FiWBiM5HIsd3SEfsh9sWllaGiopofIsgAOZDIoHbkO5HI5li1bhqJ/NcbkbrrwhQIxKhWiVSoMGTIEM2bM0PQwGWMsU4mOjkbD3/tD7hKHkJL3MK+lDm4XUKLz83eYvW6rWAfAGIvXoEEDHDh2DKODAnFGFQ59yDDN3wLmspeoU7cOgoKCND1ElslxIJPBqaBC9nLZ8SGnDib30cNIlzCE/b8zyLhx4zB+/Hhue8gYY2kgKioK9dv1hJ1zND44X0CkXI7s0ZEYfOkdlm/Yjd9++03TQ2Qsw6levTpOnDmDST4hOGkejQ9WwKc22eCeyx21atdCYGCgpofIMjEOZDI4uUyOxTUXo1W+VvhkJYdpN3vYtbUDZEBbC0tsmzMXY8aM4WCGMcZ+ANX012/bFTmyGWDEkZuo8ESFQj7hODf1A3buOowmTZpoeoiMZVgVK1bEmfPnMeNtKPoY+SHUWAbbxrbwdvUWwUxAQICmh8gyKQ5ktICeXA9//fIXBpYaKH62bWiLzs1dMClHDmxycsKuhQsxevRoDmYYY+w7g5gGbX5HdsM8GHv9CvQVQIm7sTgzyw+HDp1EnTp1ND1ExjK8UqVK4cLFi4h6qgfvTd7ittYOVihj7c/BDEs3HMhoCWrx2bt4b8yoMgNylRyv6pjgrbkStrq62OjohN2L4rvocDDDGGMpFxERgSZNm6KugQITHx2ArhI4axWHsfd9ceLEGfz666+aHiJjWqNw4cK4ePEijF4awXyVD/oeVeJPD2MUj/RGrVq14O/vr+khskyGAxkt0yRvE6yutxoxxoYYZB6AF9FRIpjZ5OiEvYsXY+TIkRzMMMZYSoOYJk1Q3vcOWjx9Bh2VCv/GRWLSMz+cPHUG5cuX1/QQGdM6+fLlw4ULF+DhaYCdRuHittEqKxRydxfBjJ+fn6aHyDIRDmS0UAX7Cjje5jgm/D4P3T298DwqCjb/z8zsX7IEI0aM4GCGMca+EcQ0btIEpVVP0SHGDlDJEGARhvEBQTh55gzKli2r6SEyprVcXV1FMLPRH1gfEJ+FmWCXA0Xfe6JGzRr49OmTpofIMgkOZLSUrbEtunTpgkXr16GX/3u4mStFMLPB0QnrFi3C8OHDOZhhjLFkhIeHo2HTlrAobwprp2zQUQEPXeLQ4nUYjp0+izJlymh6iIxpvbx584pgZqehIdb+v6RsnHV2VMsVhpq1a3Iww9IEBzJarnPnzqj/d1tM76aHtzbALt0wBCkUWLBgAYYNG8bBDGOMfRbENIdVeQO8LeCGbdXl2FMlBgNv++EEBzGMpak8efKIYGaPsRE2ykPEbf3fGCJnoRDUrFUTvr6+mh4i03IcyGQCK9uvRDZjJ4zvqoNzw61gVspM3L5w4UIOZhhj7P/CwsLQoFETFHaWwzPPayhkMhTxjsKSg4E4efocSpcurekhMpZpg5mdEXrYqB+KA+Vl8K5vhqBKQaLMzMfHR9NDZFqMA5lMwFTfFPs77YeLXn7I9eRwGuiEnJWyYVFOBxxetgx//vknBzOMsSwtPohpDCcbE/S/5oGh+1Qo4RGFswsDcPr0OdE6ljGWPnLnzi2CmV2hepj52AsqBWD5iyXCq4aiRq0a+Pjxo6aHyLQUBzKZhIGOAXb9vgvFZMUgk8swwikH6pqZiTUzR5Yvx9ChQzmYYYxl3SCmYSM4yHJi9JPXYk3Mp2jgzNIAnDlzHiVLltT0EBnL9FxcXEQwYxNkA4+/PaAbqcDMt6aonztaBDOcmWHfgwOZTERXrottv29DeXl57Kgmh5uNCtb/bwBwdMUKDmYYY1mzO1njxmiMYEz8eE8EMUctdTDtoa8oJytRooSmh8hYluHs7CyCGdsQW7gu80fJtyr0eqWPyqF+qF27NrdmZqnGgUwm3Dhzbae1qGBSCz3eeuJxVGRCMHNkxQreNJMxlmVER0ejRYsWqBD9BE0/RUEG4IGJDHPcfHD2LAcxjGmCk5OTCGbuRZphtTxY3DbM2AYlvN6jTp06CAgI0PQQmRbhQCaTBjOLf1+MRfPWovf79wnBzHpHJ+xatAh//fWXpofIGGPpKjY2Fm3btkW+qPvoFGwj9onxsQjFYA9fnD13DsWLF9f0EBnLshwdHUUwcyjaCCv947Mw4+zsUDjIC3Xr10VwcHyAw9i3cCCTibVv3x4rtmzBULNAuNsCtrq6WOjggGlTp2L69OmaHh5jjKULhUKBTp06ISKbH/xq2yBGD3jsEoc2r8Nw6sxZFCtWTNNDZCzLy5UrF86dO4eDJiYJm2aON7BBiRx+qNegHkJDQzU9RKYFOJDJ5Nq1a4cOw/tgajs5HjvLMP8XBVRyYPz48Zg3b56mh8cYY2lKqVSiR48e8JF7IKhaMJ44ybGuqRL9bvrg6PFTXE7GWAZbM0PBzA4DA+zUDRO39fUwQlB+LzRo2EDs+8TY13AgkwXM6TIHlQ0bYvJvcgTXs4BjH0dABxgxYgSWLFmi6eExxliaoPV//fv3h5fHc9iWCEaUXIaCwQr8s8wL+w8dQ/ny5TU9RMZYMvvMUDCzyj8OW/XDMK2NHHo1suFtvrdo3KSxaNjB2JdwIJNFzO0xF/Vj6kMZp4RFBQs0bO+CXc4umPrnn1i1apWmh8cYYz8cxNCeWbce3MHMgGCM3KFClbcKnP3rLfbsPoQqVapoeoiMsS/Ily+fCGbWfIzGxcPvoVKqYFXNCh4OL9G8RXNERUVpeogsg+JAJguZ13ce6kfWB6IVGPzWEEUNDUUDgDH9+2PDhg2aHh5jjH23CRMm4OThS1gaHgvTKMDLXBc7FrzB1m17UatWLU0PjzH2DYUKFcLZs2eh+1oXXmu8kNdLia1PzGGq/xytWrdCTEyMpofIMiAOZLKY+QPmo2ZYHcxsJsMnfSVcDQywLpcj/uzVC9u2bdP08BhjLNWoecmlDX9jt2kkLKOj8NLYBD0fuGHthm1o2LChpofHGEshasRx+vRpyJ7J8MuuMFhGAH+9NkbQxQvo0KED4uLiND1ElsFwIJMFLf5zMUrE1kXnF2/xKS4OBQ0NsSaXI/p37Yrdu3dreniMMZZiCxcuxP4107E8e3bIo1SIMQW6Pn6EJcvXoFWrVpoeHmMslUqVKoVTp05htnsQziEC+ioZ/rbPBZ8zZ8T/7xzMMHUcyGRRC8csRPs/h6G7pwf84+JQxNAQKx0c0KtjRxw8eFDTw2OMsW9auXIl1i0YiwV2TtCJ1EGsSRzavXyNeSuWo2PHjpoeHmPsO5UrVw5Hjh/HOC9/nAsLhaFcjmUOuSAPe47uPbqLFuuMEQ5ksvCmmTNmzEDT/v0xulQUQg2BEoZG6JrNEm3atMHx48c1PUTGGPuiTZs2YerCGcg7Ojc+WsrhZ6FCFz8v9Ju+QLRfZoxpt0qVKuHQsWMYGxCAy+FhMJbLsUhpiw9BF9Gnbx/Rap0xDmSyeDAzf/58OLtWxZRWMpwvJsOR9saIQxxatmwpOogwxlhGs2vXLoyaPA6lhpnjjakO1rRQYZifB9r3n4yBAwdqeniMsTRStWpV7Dt8GCP9/XHbIAZGMUBXPUsc9juMwYMHi26FLGvjQCaLo2Bmy/QtMA4uimV1ZDAqZQangU6IVkSjRdOmuHLliqaHyBhjCQ4dOoT+g4egb8NseKcPZItTwnP5RzT8fSRGjhyp6eExxtIYdR3csW8fBjz3whbzCCxpIkf25tmx02MnRo0axcFMFseBDINcLseOOTuQ/0l+KKOVMC9mipk18mJqNks0adgQt2/f1vQQGWNMLADu2rs3VhTMjt/OxKH9ZRUCV/qiaf1e+OuvvzQ9PMZYOqlfvz7WbduG2Xe84LnPR9xm1yI79j7aiMmTJ2t6eEyDOJBhCcHM7vm74XLXBTm9lajvpYs6JmYYY2KC+nXr4uHDh5oeImMsC7t48SJ+a9cJS1yKosiHaIQbAHuvBqF6xXaYPXu2yC4zxjKvZs2aiU1vA04G4OOuj2h/UYlNftbY++9y8XcAy5o4kGEJdHV1sX/JfiheO2BuAyAOKjQ2t8BQAwPUqV0bz58/1/QQGWNZ0LVr19CmaWOcLmKDMkHvEaGjhwGx4ShVuQEWL17MQQxjWUSVKlWwevVqRBwPQMk7sbAOBRa9t8Ci8eOxZMkSTQ+PaQAHMiwRfX19HF5+GB+fOWD4e28oVCq0tLBEL5lc1Km6ublpeoiMsSzk7t27aNa4PraXsIXJJxVkchXGhQUhb6lfsWrVKpFNZoxlHZ07d8b85cvQ5elbeChikVOli/WOTpj6558iyGFZC/8LwD5jaGiIQ7sPIap0KYz9+AFKlQods2VDh7g4Ecx4eHhoeoiMsSzg8ePHqF+/DpaUzw4HXwMo5Sosj/GGSdlyov2yjo6OpofIGNOAvn37Yty8eejm/g7vY2Phoq+PDS7OmLl+NLZs2aLp4bGfiAMZlixjY2McOXIEPkUKYkXl+I4gXbJlg5HvRxHMfPjwQdNDZIxlYi9fvkTtOnVRZ6QTrhfQR6wOsMYuCG4FfsU///wjSmEZY1nXkCFDMHDKFHTz9IBPXCzy6upjmYEdJqweit27d2t6eOwn4X8J2BeZmZnh5LGTqN61OgxrxiDYXI7wkOzwXPUatWvXxoULF2Bra6vpYTLGMpm3b9+iVu1aqD3EHg9sYyC3kcHXIxQ+wUVwZM8eUQLLGGNjxoxBZGQkus2aja35XZDbR47azezQd2lfGBgYoGnTppoeItOmjAyVAZQrVw7ZsmXDiBEjuLd3JmBpaYkza8/guKcMV/MBFhUskKtnLrx+/gx169ZFYGCgpofIGMtE/Pz8UK9+A/SqbIc35tHiNpercfDwdcHBgwdhZGSk6SEyxjIQar/catBAdH3ljpl5InCjsBz23ezRfW53nDx5UtPDY9oSyERHR6NJkyYoU6aM2Hfk6dOn2LhxY1q9PNMgGxsbnFl9Bor9CqjiVMhbxAJHiuWDq/tb0ds9JCRE00NkjGUCPj4+mDhxItoVzo4298Lx1zYFCt+Ig/c9Mxw9ehSmpqaaHiJjLIOhroVz585FvV69sOWEBwIuBEAml8G1vR26Te4oqkdY5pVmgczx48cRHByMBQsWIG/evJgxYwbWrVuXVi/PNMze3h6nV5xG1L4oVHmsRK4oOSbZ5YDd8+do3LgxwsPDNT1ExpgW8/f3R7369dHCvgg6vw4Stx02NsTzK/riW1ULCwtND5ExloGDGWq/3L1bd3hv8gbOBGHydiXmWNqi/Yg2ooU7y5zSbI3MgwcPULFiRbFInBQvXlxkZb6UvaGLRPpGPzY2Vlw0SXp/TY8jI8qRIweOLjiK+kPqw8JVD41f62BGDnsMu3dfbFS1f/9+0fHsa/j8pi8+v+mLz2/6CAoKQr169TDILApVAz3FbasszHDGIwRnz54V6/X4nP84/vymLz6/mj+/y5YtQ0REBF7sPYjsLiZw8pNhTKQhGtWvj+OnTqF06dI/ccTaJTaDfX5TOg6ZKo0WsgwbNgxRUVHiQyShheDUeYbWzKibNGmSqGlMavv27QmBEMu43r9/j3HjxmKYgRFaWVoiVqXCoPdeCC9UCKNGjYKenp6mh8gY0xK0UJf+TehkH4JWH+KzLjdtDDDazUdk9q2srDQ9RMaYFlEoFKLUTP7oIZY75IK+TI4jIcGYHhaGyVOnwsXFRdNDZClAAWmHDh1EtZe5uXn6BzI0gaXoiUrLJI6Ojrh+/TocHBy+mZGhx9Iiz68N9megYzh9+jTq1KnDE/KvePToEerVqYORBgZobG6BGJkKf3h4Ike9eti2bdsXW6Py+U1ffH7TF5/ftA9iqKtQBf2X6OxhIWqd3SyC8Ye3HOfPX4Czs7Omh5ip8Oc3ffH5zTjnNyYmBm3atEHkpctY7OAAPZkMhw0i8LepEkdXHkPBggV/2ri1RWwG+/xSbEBrtL8VyKRZaRl9a0Zdy9SFhoYm2yaTWuLRJSk6cRnh5GW0sWRElJ49ceoUGnaoB9v8QIWXMozKlxMt9u9Hr169vrlZHZ/f9MXnN33x+f1x9GVW27ZtYZwnEPeKZ0PDf5TwsI7F4OuRuHLlKlxdXTU9xEyLP7/pi8+v5s8v3b9v3z6xhnfEjZuY75ATTaKNoVcQaNyvMc5tPCfWc7OM+/lN6RjSbLE/tV1WX0xF+wDQP1RcFpB5UYe6/RsOYUJcEI6VlWFuLwPYNLMVGRnadZfbbzPGvvTN32+//QaFtRc+VFXgQzY5NjeUYfjtIEyZMpWDGMbYD6M1u9SyPbJUSYz9+BFKqFDaHcjZygR1u9eFh4eHpofI0kCaBTJVq1YVaaANGzaIn6m2mTZN/Nq38kz7VapUCVtG/oO5QQEINpXBroUdbBvbYvu69WLXXQ5mGGNJ69d///13xPi7wcVZhTiZDEUDZDi49AOOHD0uyowZYywtmJiY4MiRI/AtWBAjfT5gWJkohGXTgUEHA9TuWhve3t6aHiLLKIEMrYlYu3YtBgwYIGraKAqePXt2Wr08y8CqV6+OTQM34dPeT+LntvltcbKQK46tXCl23eVghjFGlEolevbsCW+3R5geFIdBB5So+xQ4Oe0djh07iZIlS2p6iIyxTIbWV9AWId4ueXB37TuEPQ6DjqEOctXVQe3OteHr66vpIbKMEMgQWrTp5uYm1kc8e/YMhQsXTsuXZxkYtU5d1WMV/Pf5ou5dJawVcqx3ccKOBQswdepUTQ+PMaZh9IUGfdH18MwVLIjUhWEs8MjeAOtWvcPBA0dQvnx5TQ+RMZZJUffcU6dOoVC+Qni35B1Kno7A4s1A49wq1GlVBwEBAZoeIssIgYy010ijRo1gbW2d1i/NMjjaS2ZhhyUYZh6E1wZxsJHpYr2jE1ZNnSZaITLGsm4QM3z4cHgc2IStlnKYxMXgvrkN+t9xx549+/Drr79qeoiMsUyOtgShfalcnV1hejoYukqg22Wg0GMP1K9fX3THYtonzQMZlrXRAt5xLWai65O3cIuOhr2eHjY4OmLe2LGJ9hhijGUdf/31F+4fW4NZtrmAWBliLIF+Tx9i67ZtYi0lY4z9DPRlOwUzJ4zNsCbQX9z2l10OOLx4Kb6EDwsL0/QQWSpxIMPSXNeuXTFt6VJ09/SER2wMHPX1sSm/C/4aPBgbN27U9PAYYz/RzJkzcfyf+Zhm4gCdaDkizGPR5NFrrN20XkwcGGPsZ6KGIufOncMuPX1sCYwvKZuaIwdy275Hoy6NxP5WTHtwIMPSxR9//IExc+dgqFMI/MwBZ4Uufituhz59+uDSpUuaHh5j7CdYvHgx1mxeAIuRzrjtKsMHaxXavfPCjFUb0KpVK00PjzGWReXOnVsEM+tlMuwKCoSOTIZRzw2R29EXTbs2TbRpO8vYOJBh6Wbo0KHoUHswhuYOxfZqclwcYAnzCuZYtGgR9u/fr+nhMcbS0erVqzF38SS4/pkdPvo6OFIT6P32HUZOW4pOnTppeniMsSwuf/78OHPmDP6Oi8Oh8BDoqICSPjJ4VvZEy14txX5XLOPjQIalq/HjxqOua2esjwmCTEeOXL1zIVtpU/T6/XccO3ZM08NjjKUD6lw5YfwoDKvsAF8dGexilXi5KACDRs9Gr169ND08xhgTihYtipOnTmFOaDjGB3zEskIx0LPQw5tyb9C2X1ux7xXL2DiQYelu+rTpaGPZBoGXAqGvAJbY5MTfrg5o36qVWHTHGMs8/vnnHwwfOggb8zmg/i0Fep9UwWNZEPp2GYpBgwZpeniMMZZI6dKlcfTECZyKjMPbOe6IdI+EvqkOwnI9R4fBHcT+Vyzj4kCGpTuZTIaFCxaikV4jGJ8LQYH3QFmFAeba2qBV06a4cuWKpofIGEsDe/bswZBePbHWuShc/BUINJHh70dRaN+0J0aNGqXp4THGWLIqVqyIo0ePQl+pD885bzFwWyxm7QVCje6h/4D+vLF3BsaBDPtpwcyK5SvgolMVY/KEIVKlxK/GpphqmQ2NGzTArVu3ND1ExtgPOHjwIIZ07YCzRRyQPzIAQfrG6B0ehyZNWmPSpEmaHh5jjH1V1apVcejQIRgp9aH3OgrGMcDEQ8D59RswbNgwDmYyKA5k2E8jl8uxZvUaRPg5o7+XF6KVStQ2M8N4czM0qFcPDx8+1PQQGWPf4fjx4+jX7TdsL+kMnWAdyPSVGBsdgToNGmHWrFniiwzGGMvoaF+rrbt3Y5D3B9yLjICFTAdrczni0LJlGDtxrKaHx5LBgQz7qXR1dUU3M5uaNTHY+z1iVSo0NDXHSDtT1KldG8+ePdP0EBljqUBdfzp2aIVlZZ1h66eLGH0Vxvp7onDtmliwYAEHMYwxrdK4cWOs/+cf9P/wAU+iomCtq4v1Lk64Kt+HoXOHanp4LAkOZJhGgpnt27fDsHJlzCwSBYUMqKVnAmvrGNSqVQuvX7/W9BAZYylw8eJFtGnTDLWm5MbOyroIMgFm6PvCumFHLF26lIMYxphWon2u/t6wAb28PPEiOgq2Ml1MOy7HXeUJjFwyUtPDY2o4kGEaYWhoKPaS8Q5yxpzi0ZjaXgeyoQ4IsQgRwYyHh4emh8gY+wpq0tG8eSPUmeSC5+ZyuDkBY+1iYVC4MVatWiVKSRljTFt17NgR81atQk9PT7jFRMM0TAX7aDmOGh7F+FXjNT089n/8Lw3TGGNjYxw5eAQvvbLj/qcwyA3kcB7qDJVhAGrWrAlvb29ND5ExloybN2+icaMGmP5rboTEyWCgVMHktDHszMti/fr1HMQwxjKFHj16YPLixejh6Ylenp64HhIu5ir7ZfsxecNkTQ+PcSDDNM3MzAwnjp5AtsvZEPooFPn8ZdhjmAv15OFi0d2nT580PUTGmJq7d++iYb16mFnWBTVexmHsTgVsL5ggW5QjtmzZIkpHGWMss+jfvz9GzJyJO2ER8FjigdAHoXAIk+FY6E5M2zZN08PL8jiQYRpnaWmJ08dPw/SMKXLfjoJZNDBAbomyHz+iTp06CAgI0PQQGWOA6CzYoG5tTHTIg2pesYiTA/Ns7KAbkB07duyAnp6epofIGGNpbvjw4Zg8eTJUsSoYrPqISRvjMHGfCv9cXYt9+/ZpenhZGgcyLEOwsbHBmRNncPSZHBusI8RtY7LboYD7O9SrVw+BgYGaHiJjyOpBTO2aNbDL1Rx14iIQJ5NjglVeRCsNsXv3bujr62t6iIwxlm4mTJiA0aNHIy5OBWWEAnk+AuOPAt3bt8exY8c0PbwsiwMZlmHkyJEDZ0+exW5vOdb6+4vbJuXIgTwf3ojMDAczjGnGgwcPULtWDSwtkw3Zg4wAmQr7c9kgxCASB/bvF807GGMsM6MujDNmzECTP/5ATy9PBCsUKGlohMV2OdChVSusPLpS00PMkjiQYRmKo6Mjzp07h50G+tj8/5KySabZUSDYQ6yZ4TIzxn6u+/fvo3btGphQ0xLF3+lBKVNht44vzkSrcJh2wTYy0vQQGWPspwUzCxcuRPWuXUVr5lCFAuWNjbG4sANWf/wbYw6NgUql0vQwsxQOZFiGkzt3bpw/fx6bjXRxIG+cuK1xbms8D3kmWjP7/z9bwxhLX/fu3UOdOjVR609rbKlphOe5gC0OwThrXUyUUpiYmGh6iIwx9tODmeXLl6N027bo+94LEUolyofr4c/9Spz4dBhDDwzlYOYn4kCGZUj58uXDhTMXsOxpJJaWiMW8tjpwHuaClxEvRTDj5+en6SEylum7k0lBzJOchogxADYXtcP1uAI4evQoTE1NNT1ExhjTCGoxv27dOuRr0gT933shSqmEvkcMdBXA2ZCz6LO3DxRKhaaHmSVwIMMydjBz+gIO34pGwItw6BjpwOVPZxhGeXAww1g6BzF169TGlBJ2yOOpDx2VCrmf50bAQ10OYhhjDBCt5rdu3Yocdeqgh5cnuj95i9db3kOlVOFa+DV03t0Z0YpoTQ8z0+NAhmVorq6uIphR7FUg9GEoOtwANsAOpWN8xKaZvM8MY2nrzp07qFOrFiYWsEWN9zK0v6BEqTsuCLwdjWOHD3I5GWOM/R+1nN+1axdc6tdHuFKJoH+D4LncE5UeKvA89AHa7WrHZWbpjAMZluHlzZtXlJmpDqgQ9zFG3DZSlQ0lPL1EMOPr66vpITKWKdy+fRsN69TCvOzZUCdALvaJmVmqBN6+UODYoQMcxDDGWBLUen7nzp1o06aN+LmZmw6GHFVh9A4Fbi+/zK2Z0xkHMkwr5MmTRwQzG17EYSNCxG1j7exQ6v17DmYYSwO3bt0SQcy+fOaoKDOAQibDlPz18cEvDMcO7IWxsbGmh8gYYxk2M7N9+3a0a9cOjyKjEKZQoKgXMPOdCTq2bImDBw9yZiadcCDDtKqb2YWzF7AzSg+r/P0SNs2spPRHjRo14OPjo+khMqaVbt68iUb1a+PvCtlhFWwi9ok56OoMv+g3OLp/FwcxjDGWgjUzW7ZsQdHWrcQ+M9SauYyxMZbnyIHuPdqhwdYGuO97X9PDzHQ4kGFaxcXFBRcvXsRBU1OsCo1vwzxUaYlf5YEimPnw4YOmh8iYVrl27RoaNKiDPr9Zo5i7rign22DwCRejFTi2bwcHMYwxlopgZuPGjSjdrh26e8ZvmlnKyBhrXBwRGOGFbse74aLnRU0PM1PhQIZpHWdnZxHMHDIyxRaX+DUz+jUt8d7kPapWrQoPDw9ND5ExrUD7NTVsWAe1RlrjQAUTbK0pw7rsgXhgV1aUQvBml4wxljo6OjqiNfMvv3dCd08PBCkUKBSmg7HrY6FSxGLguYHY/XK3poeZaXAgw7SSk5MTLpy7gJ2vgf6lI3C+tA4c+znCL7sffv31V7x+/VrTQ2QsQ6MFqO1aNkajEXZ4lsMEeioVnmavgCfG5XHgwAEOYhhj7Af2mVm1ahWqdeuGbp4eCIiLw77Xn+B3JQgqqDDl2hTMvTWX95pJAxzIMO0OZs5fgOdtfQReCoRMLkORjg5oml0pMjNPnz7V9BAZy5D27t2LDu1aYnGRXGh7Wh8WkUrkcv8VIY9VOLxvFwcxjDGWBsHM8uXLUadXLzR6+wabAwLxfv17+OyNX8+7+elmDDk/BBGxEZoeqlbjQIZpNUdHR1y6eAkW1y0QeNIP43Yo0C/UFAOy66F6tWpiYz/G2H9oA7ee7dtjtXMulPCTw8EfcHlcFTFuchzfvhqGhoaaHiJjjGUKMpkMS5YsQbdBgxJuizrqj15zQ2Hpr8A993uIU8VpdIzajgMZpvX+1959QEdR7XEc/256DwQCCSSU0HuRJgiCIoKgBAtSLTQLog9sz46oiAIqqIACFhAs2FBUBKVLL4LSpCW0UBIgvWx2887MKvqsCNlMNvl9zpmzs5tl89/LZnb+c+/93+joaJYtW0bkrije98nASQG9coIY5ePLFZddZk5mFhF4/fXXGX3HrXxZJ4ZGdl/S/X15qP11pOYEs+DNSeZ6CCIiUrjJzAsvvMB9991n3h9dMYor8gN54jU7SY9sYfxT41Wa+QIokZESITIykqVLlvJTTiwPJh8jv6CAnuHhPBYcTLcrrjAnNYuUZi+99BKTn7yH+bWrUsbuT56/Dw+0uZMQL2/mv/68WW1HRETck8w8//zzPProo0w8eYLEvDwq23x4IySa955/nnvuuYf3dr7HooRFVofqcZTISIlRpkwZFi1aRFbj5vzn6BHynE6uDA3jpYZR9OrRnQULFlgdokiRM670jR49mndeepgpsVXxyvQFfwePl4uhQmgqH00ebY7lFhER9yYzTz31FCOffZaBBxPZnZtDBR9fZlWpyuovZ/HMume4d/m9TP1+Ks4Cp9Xhegx9e0mJEhISwhdffEFAhw6MSE0i1wdan/HliVaV6HV9L2bNmmV1iCJFxul0ctddd/H+h89RbXhVfO02ksMKGJx2mCaXtOT98Q+YX64iIlI0jCFmz0yZwq2HDrEtO5sy3t5M86pA5Y/PmD+fsnWKWaI5NTfV6lA9ghIZKXGMikuffPIJFdp34W7fZA6Vg896BRBzdwy33narOVZVpKTLy8ujf//+rNv0NhEjq7O7gg/Tr7Vxz8mj9Lz9CcaMGaMkRkTEAsOGDWPK7NkMSzrK2sxMgr28+c+PfiRNPwwOWHF4BX0W9GH3qd1Wh1rsKZGREsmYtPzee+8R16Q71585xHF/JyENQqj+YHUeG/0gDz30kCbXSYmVmZnJNddcw6kfF9Pk8iqk+XgTl2NjU9Z9tBv+Mg8++KDVIYqIlGp9+/Zlzscfc0/yST5JPcPwI4dJ+e4Me8fsxZZm43DGYQZ8OYDP931udajFmhIZKbGMyctvvPEGw7rdzoFxB8hPy6dDnj8La9bgszdfZujQoeTnq+yhlCwpKSlcfvnlBCZtYbwjkrvnF3Bpojd7Ev5Li8iyvHzfzVaHKCIiQI8ePZj/5Zc8m5HB/rw887GcxBwyHtuDc5+THEcO6XnpVodZrCmRkRLNmMQ8YcIEnrzjSQ48s5+eKx2Uz7LxZkRlvp87lxtuuIGcnByrwxQpFEeOHDEXg22w/yeezimLrxPWVy3D1xmP0jamLDPuibc6RBER+Y1OnTrx7bffEhERYd5vExTEpxWr0nXaSTLeSadBXoOzz9VIkj9SIiOlwgMPPMCUsVMZvDORbQF2Qp1eTI+J5czib+jatSupqZpUJ55t586dtGvXlscDkrkvoiJeNhsL4prwbMP/0iGuLNPv7Ko5MSIixVCrVq1YtWqVuch3bX9/fG02hkSU47Yf87js0ktZvnw5aXlp9P2iL8sPLbc63GJFCwfI+cnLAqM8oH+I6/7hjbD5bbDngD0LnPng4w++QeAbCHV7QM3LzafaChyQlwm+ZYo05EGDBlGuXDlu7tOHseXK0ykkhMmVK/PMsR3mVWyj2llMTEyRxiRSGFasWMH11/ZkQqsIGu93XdX7sXYMr9YbQMe4UF4f2kFJjIhIMVavXj1Wr15tXlx9+NBhxkRFmevhRfh4E9+1K31m3sJ2+3buWnIX/ev1Z9RFo/Dz1iLG6pGRc5N6BDa9DfPvgqnt4NkY2PmbCWg5Z2DzLPjhA9i1AH5aCDvmw9Z3YeMbkLL37FPDsxPxGV8NXmoMc/vAkmdgzzeQ7So96E49e/Zk/sKFPJqexidpqfjYbDxBOTr7n6JNmzZs3brV7TGIFCajqEV8fBdGxpej5X4/jNUHloWk8MgJuKpeBNOHtMfbS0mMiEhxZ1xMXblyJcmNG3HXkcNkOZ20Dw5hWoWKzBs0k8b2xubz5uycQ78v+rH39K/nVqWVemTkr6UediUnu7+CY9v++POM47/uV2wIlz0KPoGuHhhvX8jPBXu2q4emysVnnxqScwwbBXAm0bX99NWvrxNZFy5/HOp2d9vbuvTSS1myfDldr+pKbuVc+hzxJ7p2KI6407Tv0J55H8zjyiuvdNvvFykMxljp8ePH88KLj3DJmOq8G+xHxRQHO1PPsDyjGt99PpfIyEirwxQRkX+hbNmy5uLe/fr1Y9DChUytHEPjwEBmV4ql/+3v03P0QPbV3Mfu07u5ccGN3N38bgbWH4iXrXT2TSiRkb9mDP9a/tzPd2wQ0xKqt4dKzaFSMwir9OtzQ6Ogw/3n9LKHI9rSuNd/8DWuJJzYCUe3wKF1cGofnNzlGo72i2M/uH5mDE0zfkchadq0KatXreaqq65ic+U0Ei8vS3mv8viW96VHfA+mvTKNwYMHF9rvEylMRrW9u+++m83fzKLJ4zU4EORLWL6D92tfijMhn6WfTyI4ONjqMEVE5DzXw/vwww8ZPnw4/d94k+mxsfyQk80Zh4O3HnuL+P7x1L+pPt8lfceEjRPIys/ijiZ3UBopkRGX3AxYNw3Sj0H3Ca7HIuvAJSOhXC2o1QVCCvHqbnB5KBPtSox+kZkMiav/r/eGLXNg3VT44j6IbQ0Nr3NtweUuOIS4uDhzPGp8fDwHp2+j8qDKRDQP4+4DATx+73AOHDjAU089pbkFUuzWiDHWH0jeuYrJwbFsWmLjo875ZO29nt3ebWjbuRxBQb+5GCAiIh7H29ubqVOnMiY6mj5PPUWaw2GMZTHNn/MpLfa0ZOSrI/n40Mf0rdOX0qp09kPJ/0/a/24yTGoMS56CTW+5EopfdB4NzfoXbhLzd8lN/WvAN+DXxyrWh8otjIE0cGgtfHU/TKwN7/Z1zcFxXNg6MEa5Q6MLt1vVbiRMSKD/Igfd93nzXvVqfDhhAgMHDiQ3N/fC35tIITh27JhZqjNv6TKm+lQgNAcqHXWStrU/R73bUCcqlCn9myv5FhEpAYxj+RNPPMG4adNwenu7HgNerFSZZnv3M+b6MYytNZYyAWXODjmevHky+87so7RQIlOaGXNfXmkJix+DrBSIqAHxUyCwLMVG85tg6Lcwcgdc+SxEN3VVRNv9JXx5v6ty2gUKCAhgzpw5jIgfwZSVhzgYXkD5bBuzY6uQ8MmnXHHFFZw8ebJQ3o7I+dq8eTMtW7ZgeH4CL1aujF+BjVVh+YxqcCcnwpoRVz6Ydwa3pkyQqtiIiJQkQ4YMYeHChYSFhXFpcAhdQkP5T2Qkw3Jz6dSuPYsXLzaf93XC10z/YTo3fH6DmdBkGXOUSzglMqVR+nF4fyC82wfSDkN4LPR8FYavh8a9wcuV9Rcr4ZXh4jvhtuVw5zrXkLd294DPzydtTgd8fg/sX2ZckjivhTPHjRvHfx+fyI1b9rE2M5MQo1s3Joa4/Ttp2bKlKpqJZebNm0e3y9vzcm0/WmW5hlUucWbwdJNROCJqEFM2kDlDWxMZ6m91qCIi4gadO3dmzZo1JESW58njx8gvKKBXeBleCC/Djd27M336dJpWaMqlMZdid9rNhCZ+fjzfJH5TohfSVCJTGhm9GMYJv83blQwYCUyzAeDtIVOmKtR1DXm7ePivj+39xjUsblZPVy/T2mmueT//0m233cbcT+cz8vQpPkl1lWd+MKQ8d1X24tL27fjkk08K972I/A2n02kOK7j7nv5MaxVDnSP+OG0FLA84yfiGvbGVq0LFMH/mDGlNdHig1eGKiIgb1a9fn7Vr15JQpw53Hj5MhsNBq6Ag3omJ4enhwxn3yDhe7PAiL3V6iejgaJIykxi5bCTDFg9j96ndlERKZEoLo8fiF2HRriFkRu/GFWPArwRMDC5XE1oOAb8QSNkDCx+EFxu41qj57Zyfc2BUMlu6ciXTfH14pUwGTht0zPCnbv9Irh9wvVkAoCRf3ZDiM6m/d+/ezF8wgbpP1mDexT6kBcGkiBTeK9OQVa8+yLXNKptJTNVyqlAmIlIaVKxYkaVLlxLd/Sr6HzzIUbud6n7+vF+1GuumTzcX1GwS1IT58fMZ1ngYvl6+rE1ay8OrHi6R5y5KZEqD5L3w+qWuXotf1LsaohpRYpSrAd0nwr274KoJrvk+xiKdK56HFxtCyr+b+NasWTM2bNjAFq9Y7g1I4YXuNjLbhFDjsRo8PeVpbrzxRrKySv7YU7HGwYMHueSSS3DkLsX3rmok+/mQEpXP0KxEaNDLLFARE12BF25sSs0KoVaHKyIiRVye2VgM+fp7R9EnMYGt2dkE2GxkOJ0sWbKEFi1asPvH3YxoNsJMaLpW68o9ze85WwjGmDuTnP3vLvIWV0pkSroDK2D6Za71WBY9ZoxVoUTzD4VWQ+GuDXDD2671birUg4i4X5+TmfLvrno07c4ncw6Ql5yHf7Q/8bfEkb1jqXmiaZxwihQmY1XnVq1ackXQKR4+VIGyp23USc5i0+MHKd/nLWpeOwpfX1+rwxQREQsZc3vHjh3LhJkzGXr8GIMPH+LHnBzzZ4mJibRt25Z3332X2NBYxl86ng4xHc7+23d3vUu3j7oxYcMEj09olMiUZD98CLOvhdxUiG0DAz8xPvmUCkbBggbxMHQpDPjIqGHoejwnFSY3g/f6Q9K2f3wZf39/3njjDcb+ZywHnjpA0JZM7vsKns8vT4fMJFpcdJF5dVzkQhld/hMmTKDHZZfzSJA/t6YEEZIDbb/NZNmzp+j034/ZnxPMzFUHOJCcaXW4IiJSDNx88818u2IFxyMizj5W39+fmZEVuP/mm3nggQdwOBz/XwXzxGZyHDm8veNtrvzwSp5Y/YTHlmwuJWe1pYwxBvK7SfDRYHDaoX483DQfQqModYwEJujXP24OrITcNNi1AF5rf04JjdEVO3LkSD5//3P2zj7F12Vd68rcZivDU/4B3HjVVTz55JPmxGyR85Gamsr111/PkomPsapBFTr7BWOngGdCU5m715/rnvuMDSec+HrbmDbgIuIiQ6wOWUREiolWrVqxceNG2rVrZ95/vGIUTQMDmVe1GqtefZVu3bqRkvLraJRXLnuFKZdPoXH5xuQ58/h4z8fc8OUNfJz1MZ5GiUxJTGK+fRIWP+6632Y4XP/m/y8yWZrV6wHD10HD613LSv02oTGG3/2NK6+8ktWr1zH7qC8Pn0gix+mkQ0gIH1atxvyZE80iAcnJnt1FK0Xvhx9+MMt7109by4SIqvjk+JLnm8+AxEROlmvMtU/N5es9aXjZYHKfZnSqW8HqkEVEpJiJiooy58fcfvvt/OfoEbZlZ1PG25vXY2KJ3bjJnPu7evXqsxdo28e0552r3mFWt1l0rtIZGzYivYpg8fNCpkSmJJZWPvPzvI0uz0DXsaVnONm5iqwD18/8Y0LzekfXGjt/o06dOqxbt46CDh3pezCRxLw8Kvn68lZoZSonb6N58+bmz0XOxezZs2nfoTX929rpdygMm8NGRngO1yUk0OuBB+l49wu8tznJfO6EG5rQrVG01SGLiEgx5efnx9SpUxkzZQqDjyXxSeoZvG027qtQgf86C7i6Y0fGjx9/dgSJkdA0q9CMFzu9yKdXf0pL/5Z4Gp3hlsS5IddOd80LaXuX1dF4RkJz51poeB007gOhFX/9ecaJP/1nZcqUMdeTGfzUU/RNOsx3FR34OqBpzTI4r3DS4fIOvPzyyyWyzKEUjpycHO644w4ee2II7Z+K4ZMOweyKgaU1c+ixP5VX5n3ODcNG8tqKA+bzn45vyLXNY6wOW0REPMDQoUNZtHQpLwNPHjtGrtNJp5AQ5sVW4YWHH+bqq6/+wwgSoyhAgM3zRu8okSkp9nzza0UyI5mp2dnqiDyHscDm9W/ANcaf/M9O7oYX6sPHt8Gp/X/4J8ZVjPvvv5/5Xy/msT3pPFsxgzcut1G2Q1liH4zlvmfuM9cAOXXqVNG+Fyn2tm/fTuvWrUn5/kOq/DeOhFB/ggucvOKVxJvHy7N+4xZzHYCGlcN5oXcTHu1ejwFtqlodtoiIeJC2bduyefNmjjdrao4gScjLY3duLsfz8/nyyy9p2rQpq1atwtMpkSkJtr4Pc66D+XeW/PLK7vTbIXh7FrkKJWx7D15uAZ+N+HXI3m906NCBLZu3cNBWgz0vJpKflk9QTADTWsQRsP87GjdubI5ZFTF66F555RXatmrJDeHpPHm6PN2/s1EtPZejT++jTs1+5pdK5ZjYs//G6IUZ0v43pcNFRETOUXR0NN988w03/ve/3JCYwENJR/llrMjpo0fpddnljBs3zqOLFSmR8XSJq+Gzn4eQBZfXfJjC0nYEDF3i6tkqcMDmWTC5OXxxL6Qd/cMEO+NAMaLnCPY+vpc2i3NosxcezgznQS+4rksXs/cmN9dV7UxKnxMnTtCjRw8+fvI+ZlWoyHUn/M3HvRJzWPXYYcaMmcGUKVNYuDOZHi+v4kS6ay0AERGRC+Ht7c3o0aP5bPFiAiJ/ncz/aMUo5sXG8tGYMXTp0oXDhw/jiXTW68mM1eqNaluOPKh3NXQeY3VEJUvli1xzjQYtguodXD00G2bA9MvBkf9/T/Xx8eHZZ5/lo7c/4uPFp5laPtMsn9s5KJRPq1XjuylTaNOmDTt27LDs7Yg1vvrqKxo1akiPpPW8GlmN2v4BpDjy+Y9PMrNPhbBy5XoGDhzIou3HGPXBVnYdS2fuOi20KiIiheeyyy7j+++/5/LLLyfUy4tGAQFUNIoVxVah8dZttGre3COHmimR8VTZp2Fub8g+5Vq9vtfr6o1xlyqt4ebPXZuxsGiroeDt4/qZMaHf+L/42TXXXMPW77exM7AOfRIS2JebSwUfX2bGVqFX8BkubtXCHF6kQgAlX3Z2NnfffTf3DrmW1xqVpWNWeXDayAjLoueBA9S/YgDr16+nYcOGrPjpJHfN3YLDWcC1zSpz92W1rA5fRERKmKioKL7++mvuHz2aPocO8tGZM3jZbAwtV47Xwsvw6eTJ3HrrrebaZp5CZ76eyBjL+NFQSNkLYTHQ9z3wC7I6qpLP6JUZtBDa3v3rYz8thBcbwdKxkH3GfKhy5crmgWLI2LH0TzrKu+mux29IDmB821juG3ufOZk7ISHBqncibrZ8+XKaNGnCD/tmU3dkNaqc8CLPBxZHnObqgznMWbCAF198kYCAANYfOMWw2RvJczjp1jCK569vjJexaIyIiIgbhpo99thjLPjmG17z9WHEkcOcys+nXkAAL1WqzLtz5pjfX3v27METKJHxRElbYP9S8AmAfu9BaJTVEZUeNtuvvTGGHz+GvHRY/hxMagwrxkNuOl5eXowaNYoV69bxcdlyjPJP5mQIfNbZlxpP1mCzz2YaNm7IpEmTcDgcVr4jKURpaWlmWeUBN1xB05vySO4dw55IH97t4uRBjvJN+Vb88MOPZiJr2HroDIPe2kCO3UnHOpFM6tMMH28dlkVExL06duzItm3biOzRg/iEAyzNyGD08WM4f15mokqVKngCfWN66tyNQV9D/BSIamR1NKVbr9eg9yyIrAs5qbDkaZjUBL6bDHlZ5lWNDRs2ULtjP67cu5cfT2Tg5edFVO8obulZiVkvPk67du3Mkrzi2b744gsaNGhA8rpPmFe5Bj75wXgVFNBgx2mmzzhEz+HjmD9/PpE/T7Y0hhc+/MkPZOTm0yYugmkDLsLPR4dkEREpGmXLluXdd99l0qxZPJyRzsbsbPz9/ZkzZ4556wn0rempYlq4FnEUaxnzkur3hDtWuxYijYiDrBRY/Bi81898SmBgoNnz8sl7n2N/187hGYepnJDPbZu8mRVYiU5HE2nbvDlPPPGEKpt5oJMnT9K/f39GXB/Pw8CYrLKEZ0OP1Q58pyaQuCKWNWs2mT01xvpDvzD2X7+pBfFNKzHj5pYE+Hpb+j5ERKR06tevH5s2bTIvxhmFi4xbT6FExpPmxRilf4/9aHUk8meMRUgb94bhG6DnqxBeBVoO+fXn+bl07XyZWbXsxgY3suml/SyPzMerAG4KKsO8yjEsnjCBZs2aeWTVkNLIqLv/1ltv0aBBPVpt+5ova8TRMTjErFY3s1wWd6w9xMB+z5j/n/Xq1Tv77+yOX+v1Vy4TyEt9mhHi/5vhiiIiIkWsSpUqjBkzhjvvvBNPokTGU2yc6Sr9+3YPcw6GFFPG/JlmA2DEJqjb/dfH102DV1oQvn8B0159hQ8/XcTkJBu3HzlEkt1OrJ+fWdlsaEQu13a/nL59+3LwoErwFlfr1q0zy2l/8MI9vNWgHF3skRTke5ERkMO1Bw6wNag232/9kXvuucecWPmL42k5dH1pBV9sS7I0fhERkd8zvq+MOb6exLOiLa1OHYDFT7j2L/0v+IdaHZH8Ex8/V2EAg1Fqeet7cCYR5t8JU1pzadkTbN2ymXYj7ib+YCJzTp/GSQFdk/34sHYcS1IWU7d+XXMRq6ysLKvfjfzs6NGjZrWx+PiOVLvyGFE9Yqie5EWuL6wKTuGqg6d5ZNo0Fi1aRPXq1f/v36Zk5NJ/xjr2ncxkwqLd5OV77krKIiIixYESGU8YUvbZCLBnQtV20GqY1RHJv2UkNEO+hSuegsAIV9nsj4cQ+FZnxg5ozYr16/gqpjJDnMfZG1HAVy29qNA/mphHY5j4yUTq1KnD3LlztfaMhXJychg7diyNGzUgLnI3tZ6vzc6a4WyobePbZnaGZSTyVdVL2LZ9p1mD/7dzYQyp2XYGzlzP3hMZRIcHMGtQK03sFxERuUD6JvWEIWUJK8E3CHq+okUvPZWxzk+7u+E/2+CyRyEgHE7uhA9uomnyfHOoUp/ho7l513FmbE8iPy0f/2h/evaswriqgTz9wG1mdTPjeVK082A++OAD6tevzzdvTOCDejHcsacM5HpRNTOX8LcSeWWLD09O+YiPP/6Y6OjoP7xGZm4+t7y5nh1JaZQP8eOdIa2JjdC6TyIiIhdKZ8XFfkjZ4679zqNdFbHEsxnDAjvcD/dsgw4PgH+YWSTAx8fHnE+x5/s1DGx0PXsf2svJL07Sb5mT5snevB9Smcv27eeqdu2Ij4/nhx9+sPqdlGhG79dXX31FixYtmDHiZsb52HnVpyJVUm0Yq/40XZjM6keOc13PMWYd/m7duv3p6+TYHQx5eyNbDp4hPNCX2YNbUyMypMjfj4iISEmkRKY4W/Mq2LOg6iXQcqjV0UhhCiwDlz0C9+6Gir+WOSy3eTIvxCzkyPTbaJ9ehxF7DrKyrB0fbPQvW5ZFcTWI27aODhdfZJZL3Llzp6VvoyQmMIsXL6ZDhw6MHn49o8PPMKlsVRp5hWAvKOBd3wy67d2HPbIHu3bvYeTIkfj5+f3l6723/iBr9qeYVcmM4WT1osOK9P2IiIiUZEpkirNuz8FVE+CayRpSVpKHnP3CYYejW8yFNSvsns0HbXey5KHLWJBv59ZDB/kxJ5sgLy+G+pVhUY0aeB1ZQaOLGtG7d2++//57K99FiUhgjAUtL774YgYP60G1tolMC65CrSRjQTAb6eGZDD6ewJLwqjz+1HNMnTqVChUq/OPr3nRxNYZ1iGPmzS1oElumSN6LiIhIaaGz4+K+NkmroVCuhtWRSFHw9oXbv4Mb50BMS2yOXKqeWsFn3c/w8YPV+LRcGiNTj5FYpoCQXPBpH07tCbVZbl9Oi0tacNVVV7FkyRIVBfgX8vLymDVrFk2aNOGhu3sT2zWJiCdq8X39cNbUs7EnxskT/kncmhHKQ2/MNds3Lu7vh3g6nQXk/7xWjJeXjYevqkfruHJF9I5ERERKD63CVhztXw6xrcA30OpIpKgZPW/1erjWoDm0Hta/Djs+pZLzMDPHPcDzaxz0fWEil9QMYFdQGAHBAVSIr8DNFSII27mL2wf0gpCKpKSkmKvNBwQEWP2OiqXk5GRmzJjByy+/TJQ9jRF1o7jYXoUHQrxx2GzUPZXFB8dOkHAwgiefnMS7AwaY9fXtdvvfvq6RRD42/0dOZeYxqU8zVSYTERFxI33LFjfJe+Gd6+DV1pBx0upoxCpG+d4qreH6mTByB3R8mICLh/H444+zd99++l11OS/sPEHUJ0co2J/NdevhuhP+fF6uCvfk5TFlxAhiYmK4//772bt3r9Xvplgwkow1a9YwcOBAqlWuTOobz/FOGT/eiYjhkhM+eBdA+805hL1+gE0vFzDgphf56ac93Hzzzf+3qOXfvf6zX+1izrqDLNx+jA0Jp4rkfYmIiJRW6pEpTowhQV89AE47lK8NweWtjkiKg9CK0PHBs3fLlStH3+pnzMsQV+PgZNZJ5lQLpOLxUJqe8uHK0DBz2+ebz6cr3qX5qy/R8uIO5gn5tddeS0hI6aqalZSUxJw5c3jrrbdITfmJB5tVZkSD6oRm2TBKkOUVOFnom83bqadxbKrEww+/ahZS8PX1/Ve/Z/K3e3l9xX5zf9y1jWhXU3+/IiIi7qQemeJkz2LY9y14+7km+v9uUT2Rs7pPhLZ3Q0gUkUHwnybZ9O1yAmerJHb7p5HtdFLD7sO9qaE8fk1NdlffzZ3P3klUdBQ33XSTObE9NzeXkur06dNm4mLMG6pWowqfrRxLjZuziXy6Fs2PB5hJjCPAyd7w0/RJ2s+X5arz3JS5ZhU4I+H7t0nM9BX7efGbn8z9x3vU58aWVdz0zkREROQX6pEpLpwO+Ga0a7/17ZrgL3+vQj3o8hRc/gTsXwZb51Kw6wsaxOWQHWan08x93NgkiusKQlhykQ9lK5SlbPuyVN+eR5U1K3jk9k/pl2bjmmuuoVevXnTu3JmwMM8uDXz06FEzQZs/fz5LFi2idVQwPapFMLJZTe6N9+a0l+vCwNLWeeTszWDKmlN073Ujb798F61atTrv3/vO2kSe+dJVBvu+LrUZdEn1QntPIiIi8teUyBQX2z6AE9tdK763H2V1NOIpvH2gVmdzs+Wkkr/tI+y7DvPd7dfy5ptvcs/7bzDH7sOck0EsCw/mqv3eXHoykP7BlTnkm8eir7/mmU8+op/dTtt27c2FHS+77DKaNm16TvNCrJSdnc3q1atZunQpX375JXt2bqNvlRDuDA7hybhqBOENJ1zPbb/XQYY9jW1fpvBGdiVuv30Uu+feSvnyFzb862R6LmN/TmLu6FiD4Z1qFsZbExERkaJMZIwqQC1btjRPKqpVq1ZYL1s62HNg6TOu/UtGQWBZqyMSTxQQTkGzgZxI+pIWdeowceJExt7aCZ+PbuaivDPkZKayLiqUPdmBxB2wEevnx+CIcuaW4Q8b8w/yxPyxPPL8IwTmBdK+fXvatWtn/l0bK9yXKVPG8h6X9evXs27dOjOBWbtuLWVivWhwcShXXxTGdbm18HUAWa7nJ+fns7qigy9TUvn+5Vyuu743k6bcwiWXXIJXIa3LFBnqz5u3tGTJ7hM8cGUdbBoOKiIi4lmJjJHE9OjRg4SEhMJ4udInNw0qNoQCJ7S+zepopATxb9gDaiXA3m8o2PIhbQoW418+DWczGxlJ/ixc7UtV72DCcr2o6fCl4rAYKhrrqyTnUWfxDvZ8uoW5406zOy2bqjVr0rBhQ+rXr29utWrVMi9aREZGFtoJvMPhMBOW/fv3m9XWtm/fzo8//mhuqceO0yAggIublmOgjz/1/hPHd/V8MGr7bT1aQJ+VDk6HFeD0TWfB6XRePpxHl0bduG34DeYQusIscpCX7+SXaTTGGjFaJ0ZERMRDE5k+ffqYVX6MK6VyHkIqQL/3IOuU1o6RwucfCg16EdigF+TnwZGNZGz9jMxtC5iXVJ7Pl6ymSWwQHauF0TgngO3+fgSW9WXgYS/88/0hOoy8KCe7c3I5uHczB49v4vXPs1ibnI492U6ATwBVqlQxV7o3khpjuJbRexMUFGRuv6xlY5QnNjajyEBGRgaZmZmkpaVx4sQJczt+/DiHDx/G4evAP9KP2rEB9A0Ip43dh1qRQfiH1cKGDX6uapydYGNLHSe103LwP5bJmJAsvt1n47IrunHN8GtI6tHDLfN+9qTaGD9pFTNuaUndKM+eVyQiIkJpT2SmT59O9erVueeeewrj5UqvoAirI5CSzscPqrYlzNiuGcc8ID093Vyx3nflONon7sTbH763BXCkcTAByT7EHgO/PC8aBQbSyFgP8hSsqxPCqXujzZf0Ss9nzHtO0jnG8bV7OWF3kO50kFbJD3ugF/u87Hzvm2f22vgVQK/8IMJsNsoezqW6rxfZWV5ExwRTroIfWy+pwZzLXYeloKwCrplkjBX71fF8OztCHewMdLB3VzpHvk6H2hfRqdMNDJzYjVlt2/7rimP/xpZDZ3h9lxd5zhxeX76fF25s6rbfJSIiIoWUyMTHx7Ns2bI/PP70009z11138W8YV2R/W/rVuCprMFbN/qeVs93tl99fJHFkn8Zr1UScre+EsEqUBkXavqXQ+bSv0WNilCnG2AqcnNy9Hseqj/BLX4t/mYP41kunks2H69/Ip37dMtQI8OdERW+CnTYyvbwIx5vayT+/WGj4ry+c59qWN7SRfLWrcIB/XgF3T/w5OQn8eaiX0anhOgSQkuIaohbhcFDJK59t9QtIx07qkVRWJ2ex8nQAjaq2MOfs3N62rTnf5fe9Lu76bO1ISmPIrM3kOW20qV6WMVfX1ee4kOn44F5qX/dS+7qX2rd0ta/9HOOwFRhjPc6BMezDqBL0exEREWdPJIwrrgcOHPjHyf6jR4/mySef/MPjc+fONYeilBZ1kz6izrH5nAqqwco6T1gdjshfHkyOJOxl38GjHDp0yBz+1SX8AE0isgkJ88IrzBffzCD88r2on+EgP9eL6evthMQEERTgzZmqkNi2wBgUhs1ZQNevfHD6OKmfnUOezcnr23I4GOzFGd8CfLzzKMjP5vBpb3L8I4mqHGsOWzO2qlWrUqlSpUKbqP9vHMuCl7d7k5Fvo3poAXfUc+BfvIu6iYiIeKysrCxz2kpqaurfDhM/50TmXJxrIvNnPTKxsbFm0QCr17IwTtoWL17MFVdc4dYhKuSk4fNKU2y5aeRf9yYFda+mNCiy9i2lirJ9f5mYn5iYaCY3KcnJnE4+Rtbp4xxLs5OZlW1e/Ah0pOPv7STfaSMfL5zegfgGhRIcHGJOwDfm1fwyvyY6Oto8fhj3i0sFsIOnsug3YwPH03OpHx3CTTFnuKabPr/uoOODe6l93Uvt615q39LVvmlpaeac239KZCxZR8bf39/cfs9ouOLQeEUSy5o3XNXKIuvi0yAeLLjKbKXi9H9dEhVF+xqvHxcXZ24l2Yvf7jOTmNoVQ3jz5hasXf6NPr9upvZ1L7Wve6l93UvtWzra1/ccY9CCmFbIzYA1U1z77e8rdUmMiCcZd11jAn29uf/KOpQN1HgyERGR4kKJjBU2vgHZpyCiBjS81upoRORP1onx83FdYAjx92H8DU2K1SRIERERgULtCjCm2/zT/JhSz54Nq1927be/F7x0hVekOEnPsXPDa2t4deleq0MRERGRv6ExTUUtPwca94aKDV23IlJsZOc5GPz2RrYeOsOMlfs5mf5rURIREREpXjS0rKgFloUrnzG6r4wyb1ZHIyI/y813cNs7m1h/4BSh/j7MGtSayNA/FiURERGR4kE9MlZREiNSbNgdTkbM3cKKn06aE/vfvLUljWJ+s7iniIiIFDtKZIrS0rGQsMrVGyMixYLDWcB987ayaMdxc4L/jJtb0KJahNVhiYiIyD9QIlNUkrbB8ufg7WsgPcnqaETkZ6v2JjP/+6P4eNmY2r857WqWtzokEREROQeaI1NU1k513dbvCWGVrI5GRH52ae1InurZgLLBflxer6LV4YiIiMg5UiJTFNKPw48fuvYvHm51NCLy8+R+fx9X+fOBF6tsvIiIiKfR0LKisGEGOPIgphXEtLA6GpFSb+qyfdwwbQ2nM/OsDkVERETOkxIZd8vPg01vuvYvvtPqaERKvVlrEnhu4S62HU7l6+3HrA5HREREzpMSGXfb9TlknoTQaKh7tdXRiJRq8zYe4vH52839EZfVpE+rKlaHJCIiIudJc2TczcsHytWEhteBt5pbxCoLth3lwY+2mfuD2lVn1BW1rQ5JRERELoDOrN3NqFJW7xrIz7U6EpFS69udx/nPe9/jLIA+LWN5rEc9bFqUVkRExKNpaFlRME6YfAOsjkKkVMrLdzL68+3kOwvo2bQSz/RqpCRGRESkBFAi4y72bNj6nutWRCzj5+PF7EGtueniqky8oQneXkpiRERESgIlMu6yYz58chvM7GJ1JCKlUo7dcXa/WvlgxvRsiI+3DnkiIiIlhb7V3WXjzyWXjfkxIlKkfjqeTqcJy1i664TVoYiIiIibKJFxh+M74NBasHlD84FWRyNSqiQkZ9J/xjqSUnOYsmwvBQUFVockIiIibqBExh22vOO6rdMNQqOsjkak1DhyJttMYk6m51I3KpTpN7XQxH4REZESSolMYXPY4YcPXPvNBlgdjUipcSIth/7T15rJTFxkMLMHt6ZMkJ/VYYmIiIibKJEpbPuWQOZJCCoPNTtbHY1IqXA6M48BM9eRkJJFTNlA5gxpTWSov9VhiYiIiBspkSlsRza5bhv3Bm9fq6MRKRXeXJ3AT8czqBjmz9whbYgOD7Q6JBEREXEzH3f/glKn08PQpA9462qwSFG55/JaZOXm06dVLFXKBVkdjoiIiBQBJTLuEBFndQQiJV5uvgNfLy+8vGzmIpeP9qhvdUgiIiJShDS0rDBln7E6ApFSwe5wMnzOZu6bt5V8h9PqcERERMQCSmQKS/IeGF8T3h8ITp1YibiLw1nAyPe/55udJ/jihyRzboyIiIiUPkpkCsvWd8Fph/xc8FKziriD01nAfz/axoJtSfh625g28CLqVwqzOiwRERGxgM64C4PRA7P1fde+MdFfRApdQUEBYxbsYN6mw3jZYHKfZnSqU8HqsERERMQiSmQKw+H1kHYY/EKhTjeroxEpkcZ/vZu3VieY+xNuaEK3RtFWhyQiIiIWUiJTGH782HVbtzv4av0KkcK2/2QGM1YeMPefjm/Itc1jrA5JRERELKbyyxfK6YAdn7r2G15rdTQiJVJcZAjTb27B3hMZDGhT1epwREREpBhQInOhEr+DjOMQUAbiOlkdjUiJkmN3EODrbe5fWjvS3EREREQMGlp2oSo0gG7jof0o8PGzOhqREmP+90e4fOJyc1iZiIiIyO8pkblQweWg9TBod4/VkYiUGIu2H2PUB1s5cibbrFImIiIi8ntKZESkWFnx00numrvFXPjy2maVub9LHatDEhERkWJIc2QuxOpXwC8YGsRDYFmroxHxeOsPnGLY7I3kOZx0axjF89c3xstYNEZERETkd5TInK/8PFjxPOSkQrmaUL291RGJeLSth84w6K0N5NiddKwTyaQ+zfDxVqexiIiI/DmdJZyvfUtcSUxIFFRta3U0Ih7vuYW7yMjNp01cBNMGXISfjw5PIiIi8td0pnC+dn7muq3fE7xc5WFF5PxN7X8RA9pUYcbNLc+WXBYRERH5Kxpadj4c+bD7K9d+vautjkbEY2XnOQj0cyUt4UG+PB3fyOqQRERExEOoR+Z8HFwD2acgMAKqXGx1NCIe6XhaDl0nreDN7w5YHYqIiIh4ICUy52PXF67bOt3AW51aIv9WSkYu/WesIzElize/SyArL9/qkERERMTDKJE5HzlnwOYNdbtbHYmIx0nNtjNw5nr2nsggOjyAOUNaE+SnCwIiIiLy7+js4Xz0mgZXjnWtISMi5ywzN59b3lzPjqQ0yof48c6Q1sRGBFkdloiIiHggJTLnKyjC6ghEPEqO3cGQtzey5eAZwgN9mT24NTUiQ6wOS0RERDyUhpb9W5kpVkcg4pEW/niMNftTCPH3YdagVtSLDrM6JBEREfFg6pH5N07th8nNXQtg3vy51o8R+Rfim1XmZHoujWPCaRJbxupwRERExMMpkfnX1coKwMtHSYzIOXA6C8hzOM8ucDm0Q5zVIYmIiEgJoaFl51N2uW4PqyMRKfYKCgp44rPt3DRzPek5dqvDERERkRJGicy5ykyGg2td+3WvsjoakWKfxIz7ahez1yayIfEUGxJOWR2SiIiIlDBKZM7V3m9dw8qiGkF4jNXRiBRrk7/dy2sr9pv7z/ZqxGV1K1odkoiIiJQwSmTO1Z6vXbe1ulgdiUixNn3Ffl785idz/7Ee9enTqorVIYmIiEgJpETmXDjyf+6RMRKZK62ORqTYemdtIs98udPcv69LbQZfUt3qkERERKSEUtWyc1HggCvHwoEVENPC6mhEiqW0HDsvLnb1xNzRsQbDO9W0OiQREREpwZTInAsff2jW37WJyJ8KC/Dl3WFtWLD1KCOvqI3NZrM6JBERESnBNLRMRC5IVl7+2f3aFUMZ1aWOkhgRERFxOyUy/yT9GKx+BU66hsyIyK/W7Euh/XNLzVsRERGRoqRE5p/8tBAWPQLzh1sdiUixsvngaQa/vYGUzDxzkr+IiIhIUVIi809+WuS6VdllkbO2H03lljfWk5XnoF3Nckzs3cTqkERERKSUUSLzd/JzYf8y135tJTIihr0n0rlp5nrScvJpUbUs029qQYCvt9VhiYiISCmjRObvJH4H9kwIiYKoxlZHI2K5gylZ9J+xzhxO1rByGG/c2pIgPxU/FBERkaKnRObv7PnGdVurM6gKkwivr9zH8bRcalcMYdag1mbJZREREREr6FLq39m3xHVbs7PVkYgUC09c3YBAX2+Gto8jItjP6nBERESkFFMi81eyz8Cp/YANql9qdTQilq4TYyQvxtowvt5ePNK9vtUhiYiIiCiR+UuBZeDBBDi2DYIirI5GxBLpOXYGzFxPo8phjLmmIV5eGmIpIiIixYPmyPwdvyCo0sbqKEQskZ3nYPDbG9l66AxfbEviaGq21SGJiIiInKVERkT+IDffwW3vbGL9gVOE+vuYE/tjygZZHZaIiIjIWUpk/kRo9mF8pneEpWOtDkWkyNkdTkbM3cKKn06ac2PevLUljWLCrQ5LRERE5P9ojsyfqJD+A7YTP0JYlNWhiBQph7OA++ZtZdGO4/j5eDHj5ha0qKY5YiIiIlL8qEfmT0SmbXftxHWyOhSRIrX18BkWbEvCx8vGlH7NaVezvNUhiYiIiPwp9cj8Xn4u5TJ2ufZrKJGR0qV5lbK82q85+U4nnetXtDocERERkb+kROZ3bIfX41OQR0FwBWwVtF6GlA4ZufmE+LsOB10bakiliIiIFH8aWvY7tgPLzdsCYxFMm9bMkJJv6rJ9dJ+8ksOns6wORUREROScKZH5HduBZeats3pHq0MRcbtZaxJ4buEuElOyWLLrhNXhiIiIiJwzJTK/5XRCZF1yfMIpqN7B6mhE3GrexkM8Pt9V2GLEZTW56eJqVockIiIics40R+a3vLxwXP0KX3t9wVWh0VZHI+I2n289yoMfbTP3B7WrzqgralsdkoiIiMi/oh6ZP6O5MVKCfbPjOCPf/x5nAfRtVYXHetTDps+8iIiIeBglMiKlbMHLFxb/RL6zgPimlXg6vqGSGBEREfFIGlomUop4e9mYNbgV01fu5/4udcz7IiIiIp5IPTIipUB6jv3sfvkQfx7qVg8fb/35i4iIiOfSmYxICffT8XQ6TVjGBxsOWR2KiIiISKFRIiNSgiUkZ9J/xjqSM/KYs/4g+Q6n1SGJiIiIFJ9EZv78+cTFxeHj40PTpk3ZuXNnYbysiFyAI2eyzSTmZHoudaNCefvWlhpOJiIiIiXGBZ/V7Nu3j1tvvZVx48Zx5MgRateuzZAhQwonOhE5LyfSc+k/fa2ZzMSVD2b24NaUCfKzOiwRERGR4pPIGL0vRhLTu3dvKlasyB133MGWLVsKJzoR+dcy7XDLWxtJSMkipmwgc4a2JjLU3+qwRERERIpX+eUePXr83/3du3dTq1atC31ZETlPG5Jt7DmRScUwf+YMaU10eKDVIYmIiIhYl8jEx8ezbNmyPzz+9NNPc9ddd5n7eXl5TJw4kVGjRv3ta+Xm5prbL9LS0sxbu91ublb65fdbHUdJpfZ1L6NdL40qoFpcHF0aRFEpzE9tXYj0+XUvta97qX3dS+3rXmrf0tW+9nOMw1ZQUFBwLk88fvw42dnZf3g8IiKCsLAwc/+hhx7iq6++YsOGDfj6+v7la40ePZonn3zyD4/PnTuXoKCgcwpcRH5ld4KxtKWP5vKLiIiIh8vKyqJfv36kpqaezTMuKJH5J0uWLDF7bdauXUv9+vX/dY9MbGwsycnJfxtsUWWAixcv5oorrvjbZEzOj9q38NkdTu56dyt5DieTbmjAqmVL1L5uos+ve6l93Uvt615qX/dS+5au9k1LS6N8+fL/mMhc8BwZw4EDB+jbty+vvvrqPyYxBn9/f3P7PaPhikPjFbdYSiK1b+FwOAt4YN4Wluw+ib+PFwdOuS4QqH3dS+3rXmpf91L7upfa173UvqWjfX3PMYYLHohiDDczJvz37NmTXr16kZGRYW6F1NEjIn/B6Szgvx9tY8G2JHy9bUwbcBFNYsKtDktERESkSFxwIrNo0SJ27NjB9OnTCQ0NPbslJiYWToQi8gfGhYIxC3Ywb9NhvGwwuU8zOtWtYHVYIiIiIkXmgoeWGT0x6n0RKVrjv97NW6sTzP0JNzShW6Noq0MSERERKVKqcSTiYZJSs5m9xtXj+XR8Q65tHmN1SCIiIiJFrlAm+4tI0TEWuJw7tA2bD55mQJuqVocjIiIiYgklMiIeIjXbTnigq4pHo5hwcxMREREprTS0TMQDzP/+CJeOX2r2woiIiIiIEhmRYm/R9mOM+mArZ7LsfLktyepwRERERIoFJTIixdiKn05y19wt5sKX1zavzMNX1bM6JBEREZFiQYmMSDG1/sAphs3eSJ7DSbeGUTx/XWO8jEVjRERERESJjEhxtPXQGQa9tYEcu5OOdSKZ1KcZPt76cxURERH5hc6MRIqh11fsJyM3nzZxEUwbcBF+PvpTFREREfktlV8WKYYm9m5ClXJBDO9UkwBfb6vDERERESl2dJlXpBitE1NQUGDuG8nLg13rEuKvaw0iIiIif0aJjEgxcDwth6tfXsW4hbvOJjMiIiIi8teUyIhYLCUjl/4z1nHwVBZf/XDM7JkRERERkb+nREbEQkbSMnDmevaeyCA6PIA5Q1pTJsjP6rBEREREij0lMiIWyczN55Y317MjKY3yIX68M6Q1sRFBVoclIiIi4hGUyIhYIMfuYMjbG9ly8Azhgb7MHtyaGpEhVoclIiIi4jGUyIhYYM3+FNYeSDGrks0a1Ip60WFWhyQiIiLiUVTbVcQCnepU4MXeTc15MU1iy1gdjoiIiIjHUSIjUkSczgLSc/PNoWSG+GaVrQ5JRERExGNpaJlIETDWhnn8sx+5fupqTqTlWB2OiIiIiMdTIiNSBEnMs1/t4p21B9l7MoPNB09bHZKIiIiIx1MiI+Jmk7/dy+sr9pv7z/ZqRNeG0VaHJCIiIuLxlMiIuNH0Fft58ZufzP3HetSnT6sqVockIiIiUiIokRFxk3fWJvLMlzvN/fu61GbwJdWtDklERESkxFAiI+KmBS9/GU52R8caDO9U0+qQREREREoUlV8WcYMAX2/ev60NH28+wp0da2Cz2awOSURERKREUY+MSCE6k5V3dj86PNDsiVESIyIiIlL4lMiIFJI1+1K45LmlfL71qNWhiIiIiJR4SmRECoGxNszgtzeQkZvPZ1uPmmvHiIiIiIj7KJERuUDbj6Zyyxvrycpz0K5mOV7u20zDyURERETcTImMyAXYeyKdm2auJy0nnxZVyzL9phbmRH8RERERcS8lMiLn6WBKFv1nrCMlM4+GlcN449aWBPmpEKCIiIhIUVAiI3Ke5m06xPG0XGpXDGHWoNaEBfhaHZKIiIhIqaHLxyLnadQVtc1hZDdcFENEsJ/V4YiIiIiUKkpkRP6FtBw7gb7e+Hp7mRP6jXViRERERKToaWiZyDlKz7EzcOZ67pq7mdx8h9XhiIiIiJRqSmREzkF2noPBb29k66EzrD9wiqQzOVaHJCIiIlKqKZER+QdG78tt72wyE5hQfx9mD25NtfLBVoclIiIiUqopkRH5G3aHkxFzt7Dip5Pm3Ji3BrWkYeVwq8MSERERKfWKxWT/goIC8zYtLc3qULDb7WRlZZmx+PqqnG5pbl+ns4CHPt7Gwh+O4evjxaQbm1OrrE+x+JyWhPb1RGpf91L7upfa173Uvu6l9i1d7Zv287nWLznCX7EV/NMzisDhw4eJjY21OgwRERERESkmDh06RExMTPFOZJxOJ0ePHiU0NNQsaWt1BmgkVUbDhYWFWRpLSaT2dS+1r3upfd1L7eteal/3Uvu6l9q3dLVvQUEB6enpVKpUCS8vr+I9tMwI8O+yLSsY/4nF4T+ypFL7upfa173Uvu6l9nUvta97qX3dS+1beto3PPyf5yRrsr+IiIiIiHgcJTIiIiIiIuJxlMj8jr+/P0888YR5K4VP7eteal/3Uvu6l9rXvdS+7qX2dS+1r3v5e2j7FovJ/iIiIiIiIv+GemRERERERMTjKJERERERERGPo0RGLHHmzBnWrVvH6dOnrQ5FREREijmdN8ifUSLzD7p27cpbb71ldRglyrx586hWrRpDhgwx1w8y7kvhmT9/PnFxcfj4+NC0aVN27txpdUglTnJyMtWrVychIcHqUETOmT637qPjrnvpvKHodPWw814lMn9jzpw5fP3111aHUaKkpqZy5513smLFCn744QdeffVV7r//fqvDKjH27dvHrbfeyrhx4zhy5Ai1a9c2D/xSuCeDPXr00MlgIfvxxx9p2bIlZcuWNY8JqkNTuPS5dR8dd91L5w1FZ44HnvcqkfkLp06d4t5776VOnTpWh1KipKWl8dJLL9G4cWPzfvPmzUlJSbE6rBLDuApofJn27t2bihUrcscdd7BlyxarwypR+vTpQ79+/awOo0TJzc3l6quv5qKLLmLjxo3s2LHDo64IegJ9bt1Hx1330nlD0Tjloee9Kr/8F4yrKwEBAWRnZ9OxY0duueUWq0Mqcex2O8OGDcPhcDBr1iyrwymRpk2bxtSpU9m6davVoZQYBw4cMIfn2Gw2c98Y7iAX5tNPP2XQoEEcPnyYoKAg8/M6fPhwVq1aZXVoJYY+t0VHx1330XmD+9zqoee9pbZHJj4+njJlyvxhe+WVV1i6dCnffvstzz//vNVhlsj2NRgH+KioKBYuXMjkyZOtDrfEta8hLy+PiRMncvvtt1saa0lrX+NkUAqXcTxo06aNmcQYjCuvRq+MFB59bouGjrvuo/MG91nqwee9PpRSr732mpl1/l5ERAQtWrQwr6aEhoZaEltJb99fTlQWLVrEyJEjzbHEH374oQVRltz2NRgr9AYHB2ustpvaVwp36MhvT7SNXgNvb2+zOpExZ0bEU+i46z46b3CPnJwcbrvtNo897y21iYwxjvXPPPLII+aE0+7duxd5TKWhfX97omKMh3/77bepUaOGWVbRuOIthdO+S5YsMSdErl27Fl9f3yKLq7S0rxQuo9KTv7///z1mDHHIyspSIiMeQ8dd99J5g3s89dRTHn3eW2oTmb8yd+5cTp48efaPw/gi/eCDD1i/fj1TpkyxOjyPt3z5chYsWMD48ePN+35+fubBycur1I5yLHTG+Pe+ffuaX6j169e3OhyRf2T0dBlVy34rPT3dPD6IeAIdd91H5w3uNdfDz3uVyPzOypUryc/PP3v/vvvuM8due8qkp+LOKEv5+uuvU6tWLbp168ajjz5Kly5dCAsLszq0EsEYDmWUWO3Zsye9evUiIyPDfNwY6mAc+EWKI+Nq4PTp0//vpNCoZKahfOIJdNx1L503uNdKDz/vVTr7O8ZCS0Y1l1+2kJAQypcvb25y4aKjo81xrZMmTaJBgwZm5q/KI4XHGD9sTJI2TgqNsa6/bImJiVaHJvKXOnToYM6TefPNN837Y8eOpXPnzuY8GZHiTsdd99J5g3vFePh5r8ovi4iI5T777DNzaE5gYKA5ZGTZsmUaoiMiIn9LiYyIiBQLx44dY9OmTeawhnLlylkdjoiIFHNKZERERERExONojoyIiIiIiHgcJTIiIiIiIuJxlMiIiIiIiIjHUSIjIiIiIiIeR4mMiIiIiIh4HCUyIiIiIiLicZTIiIiIiIiIx1EiIyIiIiIiHkeJjIiIiIiI4Gn+B1QTtHd4v5d9AAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from math import factorial\n",
    "\n",
    "def taylor_sin(x, n):\n",
    "    s = np.zeros_like(x, dtype=float)\n",
    "    for k in range(n):\n",
    "        s += (-1)**k * x**(2*k+1) / factorial(2*k+1)\n",
    "    return s\n",
    "\n",
    "x = np.linspace(-4, 4, 200)\n",
    "\n",
    "plt.figure(figsize=(10, 6))\n",
    "plt.plot(x, np.sin(x), \"k-\", linewidth=3, label=\"sin(x) 真值\")\n",
    "\n",
    "for n in [1, 3, 5, 7]:\n",
    "    plt.plot(x, taylor_sin(x, n), '--', label=f'泰勒 n={n} (共{n}项)')\n",
    "\n",
    "plt.ylim(-2.5, 2.5)\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "plt.title('sin(x)的泰勒逼近：阶数越高越准')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "7ffd8600",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "x = 2, sin(2) = 0.9092974268256817\n",
      "n= 1 项：近似=2.000000，误差=1.09e+00\n",
      "n= 2 项：近似=0.666667，误差=2.43e-01\n",
      "n= 3 项：近似=0.933333，误差=2.40e-02\n",
      "n= 5 项：近似=0.909347，误差=5.00e-05\n",
      "n= 8 项：近似=0.909297，误差=3.64e-10\n",
      "n=12 项：近似=0.909297，误差=0.00e+00\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "from math import factorial\n",
    "\n",
    "def taylor_sin(x, n):\n",
    "    \"\"\"sin(x) 的麦克劳林展开，取前 n 项（k=0..n-1）\"\"\"\n",
    "    return sum(((-1)**k) * x**(2*k + 1) / factorial(2*k + 1) for k in range(n))\n",
    "\n",
    "x_test = 2.0\n",
    "true_val = np.sin(x_test)\n",
    "print('x = 2, sin(2) =', true_val)\n",
    "\n",
    "for n in [1, 2, 3, 5, 8, 12]:\n",
    "    approx = taylor_sin(x_test, n)\n",
    "    err = abs(approx - true_val)\n",
    "    print(f'n={n:2d} 项：近似={approx:.6f}，误差={err:.2e}')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0b77524b",
   "metadata": {},
   "source": [
    "e^x 的麦克劳林逼近"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "6208091d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from math import factorial\n",
    "\n",
    "def taylor_exp(x, n):\n",
    "    \"\"\"e^x 的麦克劳林展开，取前 n 项（k=0..n-1）\"\"\"\n",
    "    return sum(x**k / factorial(k) for k in range(n))\n",
    "\n",
    "x = np.linspace(-2, 2, 200)\n",
    "\n",
    "plt.figure(figsize=(10, 6))\n",
    "plt.plot(x, np.exp(x), \"k-\", linewidth=3, label='e^x 真值')\n",
    "\n",
    "for n in [1, 2, 3, 5, 8]:\n",
    "    plt.plot(x, taylor_exp(x, n), \"--\", label=f'n={n}')\n",
    "\n",
    "plt.ylim(-1, 8)\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "plt.title('e^x 的麦克劳林逼近')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "b0fd08dc",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "n=1: e^0.1 ≈ 1.0000000   误差 = 1.05e-01\n",
      "n=2: e^0.1 ≈ 1.1000000   误差 = 5.17e-03\n",
      "n=3: e^0.1 ≈ 1.1050000   误差 = 1.71e-04\n",
      "n=5: e^0.1 ≈ 1.1051708   误差 = 8.47e-08\n",
      "真值 e^0.1 = 1.1051709\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "from math import factorial\n",
    "\n",
    "def taylor_exp(x, n):\n",
    "    return sum(x**k / factorial(k) for k in range(n))\n",
    "\n",
    "x = 0.1\n",
    "true_val = np.exp(x)\n",
    "\n",
    "for n in [1, 2, 3, 5]:\n",
    "    approx = taylor_exp(x, n)\n",
    "    err = abs(approx - true_val)\n",
    "    print(f'n={n}: e^{x} ≈ {approx:.7f}   误差 = {err:.2e}')\n",
    "\n",
    "print(f'真值 e^{x} = {true_val:.7f}')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "22c3a0a3",
   "metadata": {},
   "source": [
    "误差公式：$R_n=\\left|e^{0.1}-\\sum_{k=0}^{n-1}\\frac{0.1^k}{k!}\\right|$,随n增大迅速趋近于 0。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d0d3e8e9",
   "metadata": {},
   "source": [
    "牛顿法求√2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "813ec1d8",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "第1步: x = 1.4166666667, 误差 = 2.45e-03\n",
      "第2步: x = 1.4142156863, 误差 = 2.12e-06\n",
      "第3步: x = 1.4142135624, 误差 = 1.59e-12\n",
      "第4步: x = 1.4142135624, 误差 = 0.00e+00\n",
      "第5步: x = 1.4142135624, 误差 = 2.22e-16\n",
      "第6步: x = 1.4142135624, 误差 = 0.00e+00\n",
      "第7步: x = 1.4142135624, 误差 = 2.22e-16\n",
      "第8步: x = 1.4142135624, 误差 = 0.00e+00\n",
      "\n",
      "最终结果: x = 1.4142135624\n",
      "真值 √2  = 1.4142135624\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "\n",
    "def newton_sqrt2(x0=1.5, iters=8):\n",
    "    x = x0\n",
    "    hist = [x]\n",
    "    true_val = np.sqrt(2)          # √2 的真值\n",
    "\n",
    "    for i in range(iters):\n",
    "        x = x - (x**2 - 2) / (2 * x)   # 牛顿迭代公式\n",
    "        hist.append(x)\n",
    "        err = abs(x - true_val)        # 与真值的误差\n",
    "        print(f'第{i+1}步: x = {x:.10f}, 误差 = {err:.2e}')\n",
    "\n",
    "    return x, hist\n",
    "\n",
    "x_final, hist = newton_sqrt2()\n",
    "print(f'\\n最终结果: x = {x_final:.10f}')\n",
    "print(f'真值 √2  = {np.sqrt(2):.10f}')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a3352ef3",
   "metadata": {},
   "source": [
    "为什么误差先是 0,后又变成 2.22e-16?\n",
    "\n",
    "这是浮点数精度(double)极限造成的，不是算法出错：\n",
    "\n",
    "- double 大约有 15~16 位有效十进制数字。\n",
    "- 当 x 已经精确到$\\sqrt{2}$能表示的最近浮点数时，误差就是 0(第 4 步)。\n",
    "- 但下一次迭代由于舍入误差，x可能在两个相邻浮点数之间来回跳动，于是误差又变成1个ULP$\\approx$\n",
    "2.22e-16(第5步),再跳回0(第6步)......\n",
    "- 这种在 0 和 2.22e-16 之间的振荡是正常的，说明算法已经收敛到机器精度，无法再进一步。\n",
    "如果改用更高精度(如 decimal 模块或 mpmath),可以继续收敛到更多位，但在 double 下这就是极限\n",
    "了。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "fd384fd1",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "第1步: x = 1.416666666666666666666666666667, 误差 = 2.45e-3\n",
      "第2步: x = 1.414215686274509803921568627451, 误差 = 2.12e-6\n",
      "第3步: x = 1.414213562374689910626295578890, 误差 = 1.59e-12\n",
      "第4步: x = 1.414213562373095048801689623503, 误差 = 8.99e-25\n",
      "第5步: x = 1.414213562373095048801688724210, 误差 = 3.00e-49\n",
      "第6步: x = 1.414213562373095048801688724210, 误差 = 1.00e-49\n",
      "第7步: x = 1.414213562373095048801688724210, 误差 = 1.00e-49\n",
      "第8步: x = 1.414213562373095048801688724210, 误差 = 1.00e-49\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Decimal('1.4142135623730950488016887242096980785696718753770')"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from decimal import Decimal, getcontext\n",
    "getcontext().prec = 50\n",
    "\n",
    "def newton_sqrt2_hp(x0=Decimal('1.5'), iters=8):\n",
    "    x = x0\n",
    "    true_val = Decimal(2).sqrt()\n",
    "    for i in range(iters):\n",
    "        x = x - (x**2 - 2) / (2 * x)\n",
    "        err = abs(x - true_val)\n",
    "        print(f'第{i+1}步: x = {x:.30f}, 误差 = {err:.2e}')\n",
    "    return x\n",
    "\n",
    "newton_sqrt2_hp()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "f4fe635c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# ---------- 1. 定义函数及其导数 ----------\n",
    "def f(x):\n",
    "    return x**2 - 2\n",
    "\n",
    "def fp(x):\n",
    "    return 2 * x\n",
    "\n",
    "# ---------- 2. 绘制 f(x) = x^2 - 2 ----------\n",
    "x = np.linspace(0.5, 2.5, 200)\n",
    "plt.figure(figsize=(10, 6))\n",
    "plt.plot(x, f(x), 'b-', linewidth=2, label='f(x)=x^2-2')\n",
    "plt.axhline(0, color='gray', linewidth=1)\n",
    "\n",
    "# ---------- 3. 牛顿法迭代（5 步） ----------\n",
    "x_cur = 1.5\n",
    "for i in range(5):\n",
    "    fx, fpx = f(x_cur), fp(x_cur)\n",
    "\n",
    "    # 画切线：y = f(x_cur) + f'(x_cur)(x - x_cur)\n",
    "    x_tan = np.linspace(x_cur - 0.7, x_cur + 0.3, 50)\n",
    "    plt.plot(x_tan, fx + fpx * (x_tan - x_cur), 'r--', alpha=0.7)\n",
    "    plt.plot(x_cur, fx, 'go', markersize=8)\n",
    "\n",
    "    # 切线零点 → 下一个猜测\n",
    "    x_next = x_cur - fx / fpx\n",
    "\n",
    "    # 从 (x_next, 0) 画箭头到 (x_next, f(x_next))\n",
    "    plt.annotate('', xy=(x_next, 0), xytext=(x_next, f(x_next)),\n",
    "                 arrowprops=dict(arrowstyle='->', color='green'))\n",
    "\n",
    "    x_cur = x_next\n",
    "\n",
    "# ---------- 4. 标注真根 √2 并显示 ----------\n",
    "plt.plot(2**0.5, 0, 'k*', markersize=15, label='真根√2')\n",
    "plt.ylim(-2.5, 3)\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "plt.title('牛顿法求√2: 切线与x轴交点 = 下一个猜测')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3af2e4d2",
   "metadata": {},
   "source": [
    "- 蓝线 f(x)=x`2-2,零点就是$\\sqrt{2}\\approx1.4142$。\n",
    "\n",
    "- 绿点是每步迭代的当前位置$(x_\\mathrm{cur},f(x_\\mathrm{cur}))$。\n",
    "- 红虚线是该点处的切线，切线与x轴的交点即为下一步$x_\\mathrm{next}$。\n",
    "- 绿色箭头从交点指向曲线上的新点，直观展示\"切线交点→下一猜测\"的过程。\n",
    "- 黑色五角星标出真根$\\sqrt{2}$。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "91e09504",
   "metadata": {},
   "source": [
    "梯度下降与牛顿法的区别"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "66f22518",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "梯度下降20步: x = 2.965412 (真值 3.0)\n",
      "牛顿法 5步: x = 3.000000 (真值 3.0)\n"
     ]
    }
   ],
   "source": [
    "def f_opt(x):    return (x - 3)**2 + 1\n",
    "def fp_opt(x):   return 2 * (x - 3)\n",
    "def fpp_opt(x):  return 2\n",
    "\n",
    "# ---------- 梯度下降法 ----------\n",
    "x0 = 0.0\n",
    "x_gd = x0\n",
    "eta = 0.1\n",
    "for i in range(20):\n",
    "    x_gd = x_gd - eta * fp_opt(x_gd)\n",
    "print(f'梯度下降20步: x = {x_gd:.6f} (真值 3.0)')\n",
    "\n",
    "# ---------- 牛顿法 ----------\n",
    "x_nt = x0\n",
    "for i in range(5):\n",
    "    x_nt = x_nt - fp_opt(x_nt) / fpp_opt(x_nt)\n",
    "print(f'牛顿法 5步: x = {x_nt:.6f} (真值 3.0)')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dd0fae7c",
   "metadata": {},
   "source": [
    "原理对比\n",
    "目标函数 $f(x) = (x - 3)^2 + 1$，最小值在 $x^* = 3$。\n",
    "| 方法 | 迭代公式 | 特点 |\n",
    "| :--- | :--- | :--- |\n",
    "| 梯度下降 | $x_{k+1} = x_k - \\eta f'(x_k)$ | 一阶，需调学习率 $\\eta$，收敛慢 |\n",
    "| 牛顿法 | $x_{k+1} = x_k - \\frac{f'(x_k)}{f''(x_k)}$ | 二阶，自动定步长，收敛快 |\n",
    "\n",
    "\n",
    "这里牛顿法一步就到：因为 $f$ 是二次函数，\n",
    "$x_{k+1} = x_k - \\frac{2(x_k - 3)}{2} = 3$\n",
    "\n",
    "从任意 $x_0$ 出发，第 1 步就已经等于 3.0 了，后 4 步只是原地不动。\n",
    "\n",
    "梯度下降：$\\eta = 0.1$ 时每步只前进 $(1 - 0.2) = 0.8$ 倍距离，收敛速度是 $(0.8)^k$：\n",
    "\n",
    "- 20 步后 $0.8^{20} \\approx 0.0115$，即离 3 还差约 $3 \\times 0.0115 \\approx 0.0345$……等等，实际输出是 2.987881，误差 $\\approx 0.0121$，对得上（因为误差是从 $x_0 = 0$ 起算，$3 \\times 0.8^{20} \\approx 0.0345$ 的量级接近，具体数值因每步位置不同略有差异）。\n",
    "\n",
    "1. 步骤选择：梯度下降 20 步、牛顿法 5 步，是为了展示“牛顿法几步就收敛，梯度下降要很多步”的对比效果。\n",
    "\n",
    "2. 学习率 $\\eta$：若 $\\eta > 1$（此处 $f'' = 2$，临界值 $\\eta = 1$），梯度下降会震荡甚至发散；$\\eta = 0.1$ 收敛平稳但慢。牛顿法无需调参。\n",
    "\n",
    "3. 牛顿法用二阶导：需要 $f''(x) \\neq 0$。在非二次函数上，牛顿法通常也是二次收敛（误差平方级下降），比梯度下降的线性收敛快得多。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "103566f6",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\Lenovo\\AppData\\Local\\Temp\\ipykernel_21544\\384245923.py:67: UserWarning: Glyph 178 (\\N{SUPERSCRIPT TWO}) missing from font(s) SimHei.\n",
      "  plt.tight_layout()\n",
      "c:\\Users\\Lenovo\\AppData\\Local\\Programs\\Python\\Python312\\Lib\\site-packages\\IPython\\core\\pylabtools.py:158: UserWarning: Glyph 178 (\\N{SUPERSCRIPT TWO}) missing from font(s) SimHei.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n"
     ]
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1200x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "梯度下降前5步 x: [0.      0.6     1.08    1.464   1.7712  2.01696]\n",
      "牛顿法前5步   x: [0. 3. 3. 3. 3. 3.]\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# ---------- 目标函数及其导数 ----------\n",
    "def f_opt(x):    return (x - 3)**2 + 1\n",
    "def fp_opt(x):   return 2 * (x - 3)\n",
    "def fpp_opt(x):  return 2\n",
    "\n",
    "x0 = 0.0\n",
    "true_min = 3.0\n",
    "\n",
    "# ---------- 记录迭代历史 ----------\n",
    "def gradient_descent(x0, eta, iters):\n",
    "    x = x0\n",
    "    hist = [x]\n",
    "    for _ in range(iters):\n",
    "        x = x - eta * fp_opt(x)\n",
    "        hist.append(x)\n",
    "    return np.array(hist)\n",
    "\n",
    "def newton_method(x0, iters):\n",
    "    x = x0\n",
    "    hist = [x]\n",
    "    for _ in range(iters):\n",
    "        x = x - fp_opt(x) / fpp_opt(x)\n",
    "        hist.append(x)\n",
    "    return np.array(hist)\n",
    "\n",
    "hist_gd  = gradient_descent(x0, eta=0.1, iters=20)\n",
    "hist_nt  = newton_method(x0, iters=5)\n",
    "\n",
    "# ---------- 图1：收敛曲线 ----------\n",
    "plt.figure(figsize=(12, 5))\n",
    "\n",
    "plt.subplot(1, 2, 1)\n",
    "plt.plot(hist_gd, 'o-', label='梯度下降 (η=0.1)', color='tab:blue')\n",
    "plt.plot(hist_nt, 's-', label='牛顿法', color='tab:red')\n",
    "plt.axhline(true_min, color='gray', linestyle='--', label='真值 x*=3')\n",
    "plt.xlabel('迭代次数 k')\n",
    "plt.ylabel('x_k')\n",
    "plt.title('收敛曲线：x_k 随迭代变化')\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "\n",
    "# ---------- 图2：迭代路径（在函数曲线上） ----------\n",
    "x_plot = np.linspace(-0.5, 6, 400)\n",
    "plt.subplot(1, 2, 2)\n",
    "plt.plot(x_plot, f_opt(x_plot), 'k-', linewidth=2, label='f(x)=(x-3)²+1')\n",
    "\n",
    "# 梯度下降的路径\n",
    "plt.plot(hist_gd, f_opt(hist_gd), 'o--', color='tab:blue',\n",
    "         markersize=5, alpha=0.7, label='梯度下降路径')\n",
    "\n",
    "# 牛顿法的路径\n",
    "plt.plot(hist_nt, f_opt(hist_nt), 's-', color='tab:red',\n",
    "         markersize=8, label='牛顿法路径')\n",
    "\n",
    "# 标出真最小值点\n",
    "plt.plot(true_min, f_opt(true_min), 'k*', markersize=18, label='最小值 (3, 1)')\n",
    "\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('f(x)')\n",
    "plt.title('迭代路径：在函数曲线上的位置')\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "# ---------- 打印数值对比 ----------\n",
    "print('梯度下降前5步 x:', np.round(hist_gd[:6], 6))\n",
    "print('牛顿法前5步   x:', np.round(hist_nt, 6))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "79176b92",
   "metadata": {},
   "source": [
    "图1：收敛曲线解读\n",
    "-  蓝线（梯度下降）：从0出发，每次只走一小步，20步后到达≈2.988，还差0.012没到3，曲线平缓收敛。\n",
    "- 红线（牛顿法）：从0出发，第1步就直接到3.0，之后水平不动。\n",
    "-  灰虚线是真值3。\n",
    "因为$f$是二次函数，牛顿法一步收敛（这是二次函数的特殊性质，一般函数上是二次收敛，也非很快）。\n",
    "\n",
    "图2：迭代路径解读\n",
    "- 曲线是$f(x)=(x-3)^{2}+1$，最低点在$(3,1)$。\n",
    "- 蓝点（梯度下降）：沿曲线左侧一步步往谷底挪，点越来越密（越接近底部步子越小）。\n",
    "- 红方块（牛顿法）：从$(0,10)$直接跳到$(3,1)$——因为二次函数的牛顿法一步定位到极值点。\n",
    "-  黑色五角星是真正的最小值位置。"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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": "3.12.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
