{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "c1ecbc4a",
   "metadata": {},
   "source": [
    "1. 字符串输出"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "84fe782e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Hello, Math in Computer Science. I'm 匆匆.\n"
     ]
    }
   ],
   "source": [
    "print(\"Hello, Math in Computer Science. I'm 匆匆.\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8bad1098",
   "metadata": {},
   "source": [
    "2. 表达式输出"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "330ddcbb",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1 + 1 =  2\n"
     ]
    }
   ],
   "source": [
    "print('1 + 1 = ', 1 + 1)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "30ad8867",
   "metadata": {},
   "source": [
    "3. 幂运算"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "70d3bc28",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2的10次方: 1024\n"
     ]
    }
   ],
   "source": [
    "print(\"2的10次方:\", 2 ** 10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "856cc6c4",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "numpy版本号: 1.26.4\n",
      "工具加载成功\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# 用来正常显示中文标签\n",
    "plt.rcParams['font.sans-serif'] = ['SimHei']\n",
    "# 用来正常显示负号\n",
    "plt.rcParams['axes.unicode_minus'] = False\n",
    "\n",
    "print(\"numpy版本号:\", np.__version__)\n",
    "print('工具加载成功')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "f4ac2a84",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#画 y = 2x + 1\n",
    "x = np.array([0, 1, 2, 3, 4, 5])\n",
    "y = 2 * x + 1\n",
    "plt.figure(figsize=(6, 4))\n",
    "plt.plot(x, y, \"b-o\", label=\"y = 2x + 1\")\n",
    "plt.title(\"我的数学图\")\n",
    "plt.xlabel(\"x\")\n",
    "plt.ylabel('y')\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "852d1782",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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arN739lGJiIh4hjIOyTBnDlC0KFC/PtC+vfmT9/m4v5g3bx6KFy9ubWOsXLky9u3b59XjOXjwIHLnzu3VYxARkWgKHFzE4ODxx4Hjx2M/fuKEedwfgoeQkBB07NgRI0aMwIkTJ1C6dGl06dLFLa99+PBh1Kt306pcov7880888sgjOHv2rFuOQUREbl3ABg4OB3Dpkmu38+eB3r3N58T3OvTSS+Z5rrxefK/jTo8++ihy5sx50+2TTz5J9POYXWDQ8MQTTyBfvnzo0aMHtrNq10uaN2+Obt26ee3ri4jYYn182jTYScDWOLAPVNasrsRVOZN8LQYCzETkyOHa1754EciSJennTZ8+3bqQ79mz58bnXUTevHmti3nZsmUT/LzPPvsMV65cuenxpFL+zZo1i3X/wIEDVv8DYvMsfs2lS5eiZs2aePPNN7FixQps2LAh1Ro5LVy40Hrt/v37p8rri4jY2t69QMeOwObNsJOAzTj4gpYtW1rLB7yA05IlS6zlg8SCBmK2oGjRojfdkjNunH0PRo0ahe7du1v32X2RwcKrr76Kf//9F2PGjMG4ceOSDBoaNmxoZTsqVqxoBRkMXooUKYIpU6YkeQzFihVz+XhFRPxGRATw7rvAPfeYoMGVd5oeFLCBA/tA8Z1/Yrfz5yNx/Pg5LFoU6dJrLl6c9Gvy5moPKl7oGzdujO+//966P3fuXDz55JPwBAYJWbJkiVXj0Lt3b/z3339WZuKZZ56xiieT8uWXX2LHjh1YvHgxqlWrhm3btmH9+vV4nIUhIiIS2+7dwH33Aa+/zndwwCOPACtXmj4NieHH2QTKAwJ2qYJvlJMK4iIjzfJSw4ZAoUKmEDK++gS+Fj/eqJH7t2ay3mD06NFWun7RokV46623XKpxWLNmzU2PDxs2DC+++GKSn79q1Sorm7Bx40ar86ITd1owkHj55Zddyhg4MxVO7NzIzMf58+eRLVs2lz5fRCQghIcD770H8N94/j1nTmDMGOCZZ8xFhpnnG30awiMi8NOGDaj1wANIp86R9sRggD8/vknmzy9m8ODM1H/0Uer0c2jRooV1seaFumTJkihRokSSn5PSGgfiXId27dpZgUO5cuVifYwX/A8++ACNGjXCG2+8EZUJERGRW7Bzp6llcBajN28OfPopcMcd0c9hUOAMDMLDEcpmQlzKiPHmzlMCdqkiuVq1AmbPBgoWjP04Mw18nB9PDRwG1aRJE7zyyisuL1OktMaBwQaXIVhb8dhjj1nFmLxxYBQNHDgQ999/vxUwMBvB4kVX8evHlwUREQlY164BQ4cC1aqZoCFXLuCrr9hQJ3bQYDPKOCQDg4OWLT3fOZIBw5w5c6xli9S0bNky7N2717pNnDgxVhaCBZHMenCHB4OZkSNHWsse9evXt2ohREQkGRgodOgA7Npl7j/6KDBhApA/P+xOgUMyMUhIZh+jW8ImSMwE8J0+dyOkJmYanNmF+DIGzD44PfXUU9YttfHrJnRMIiI+JyyMBWdm1wSL6G67DWCPHWaUU2lru7spcLA51jicOnUK3333nbcPRUREbsXWraaWgTsniIVzDBry5YMvUeBgc7udv2AiIuK7WYahQ4GRI02WIW9eYNw4oE0b+CIFDiIiIqll82aTZWAXSOKSxNixJnjwUdpVISIi4m5XrwKvvmqaOTFouP12gFvYv/nGp4MGrwYOp0+ftloKc2qiXUc6i4iIJNsvv5geC1yaYCfB9u1N8JBa+/YDIXBg0MB+ATGDhtQc6SwiIpLqrlwB+vUDatUC9u83WyvnzgVmzDC7J/yEVwKHtm3boj0jMBuPdBYREXHZhg1ApUrAqFGmvfCzzwKcbMzmP37GK8WRbC7EZYqXXnrJpZHO8QkLC7NuMdshU3h4uHWLiffZCyAyMtK6ucrZP8D5uYHi3Llz1vln1icXO5m5kafPKb8GvxZ/B9KkdqcuL3H+vsf9vZeU0fl0P78+p5cuIfiNNxD8yScIcjjguOMOXB8/Hg4Op6JU+J5T43wm57WCHF7srsORzOxKyCY/cUc6ly9fHn369LEyD/EZMmQIhnJ7SxwzZ85E5jjjJ1kzkT9/fhQuXBjp06dP2bEeO4bgM2cS/Hhk7txwFC4MX8cJnAzoChYsiCNHjlgzKzg0y26mTp1qZag4rfPee+/F5MmTrZ9xXPxdOnbsGP7++29EcFStiIib3LZnDyqPHYusf/9t3T/y0EPY3bEjIrJmha+5fPmytRIQGhqa5HgCWwYOAwYMwJIlS7Bly5ZY0xmTyjgwMGD9RNxv+urVq9bFg1+HExpdxVNz4cIFZDt7FsHlyiGIVbIJPTdjRjhYzOmh6WSpgb8wzDIsX74cFStWtC7OnMbJ7pW3ivUsnTp1wsqVK805zZbN+vmnxIYNG9CmTRtMnz4dZcuWxdNPP41ChQrhK/Z4j4M/e35t/m4k52fvS/hOgT+zhg0bJvj/i7hO59P9/O6cXryI4EGDkGb8eOuuo1AhXJ8wAY6HH/bZ88lraJ48eVwKHGzXxyGhkc5xZciQwbrFxc+J+3nXr1+3LlLBwcHWzVXOVHrQf/8lGjRYz7l6FUHMSMQJgrwhpWO12VL6o48+sna0ULVq1ax39Mk5ZwlxvoYzWHD+PFKChbScAMopncSi2vfffz/e1+Nj/Frx/V74m0D4Hj1J59P9/OKcrl4NdO7MIT7mfpcuCPrgA6TNkcOnz2dyXsdWgUNiI53djomWy5cTfw4Dh0uXTKWsK/g8Pj8pXEpx4d0231EzHc/BUs4Le968ea2iUb7TdvdYbb4rd86fYET74YcfWlMy6eTJk9bXXLp0KWrWrIk333wTK1assN79pzRzkFIMFJJTDyMicssuXDB9GSZMMPeZXeYwwBtvYAKJbQKH+EY6EycvpsqFiUFDEutQfP+aMzmv+cADrj2P35sLEyV5Lrp27WpdGMuUKWMt33ApIbGggbgr5Vbs3LkTDz74oFUP4uylUaBAAStYePXVVzFr1iyMGTPGymok9bNhKo1LTszecA2NwQuXgEaPHo3OjNoTUKVKlXiXSL788ktrfofTmTNnrECJtS0iIqlixQors4AjR8z97t2B994Dkkjp+yvbdI50jnTmjguufztvLNALVFxnaty4Mb5nt7EbhYscsZ3aWN/AnwffxcfspdG7d29r6YIB3jPPPBO1pJEYXuh37NiBxYsXW0sf27Ztw/r16/E4h7skYsGCBdbnxb01aNAg1vN69uxpTQ5t0qTJLXzHIiLx4G69bt34DsgEDVyKXrnSZB0CNGjwesYhZl1mYiOdUwWXC2KMiY4P3yWzYCT7n38iuE4d1/bxunAxtb62i9jXgu/O+/fvj0WLFlnFiqlV4+DELELVqlUxbdo0lChRwtqemTNnTmt3CgOJl19+GVOmTHHp+JmpcGJxIgtUeU4ZFCaGuzqSwuNbvXq1lSEREXGrpUuBrl2BY8fM/Z49gREjksxUBwLbLFV4HFPsSS0XsMaBk8wyZXLtNfk8F5YgkoNpeV6seaEuWbKkdSFPSkprHNauXYuFCxdahYbEpYqYRYy84H/wwQdWUeIbb7wRlQnxhq1bt6JXr16YP3/+LS/NiIhEOXcO6NsX+OILc794cWDyZKBePW8fmW0EbuDgI7JmzWql4V955RUMHDjQpc9J6YWU9ROff/65tUTBrzlo0CArSHBuzeHX57LAF198YdVcMMiI27grIcw0MAvijqZP//77L5o3b26dEy5/OOtheK5ERFJs8WKzNHHihHlz2asXMHy4298Q+jrb1DjYWp48zLMn/hx+nM9LBaxr4N5aLlukJi4rzJ492yp8ZAMuFjOyRoE2b95sZT2YjeAFeuTIkdayxyVXdpG42ddff201dBo8eHCsehgRkRQ5exbo0AFo2tQEDSVLMgULjBmjoCEeyji4gttuDhzgdK6En8OgIRWaP3FnAZcd+E6/SJEiSG3cBeHc/hkTuzM639kTt206t256GjtbxmxXLiKSYgsWAM8/zz3nJsvw8svA228nqxYt0ChwcBWDAi90hWSNw6lTp/Ddd995/GuLiPgtNuzjGxBnx9nSpQEWfd9/v7ePzPYUONjc7t27vX0IIiL+haOu2Yvhn3/YXtYUQ3L2kauF8AFOgYOIiAQGLjf37s1CKXP/rrtMlqFGDW8fmU8JqOJIL87zEi/Rz1xELLNnA+XLm6CBWYbXXgO2bfO5oOH6ddZtBmHduoLWn7zvaQERODiHd3CXgAQW58/c5wfriEjK/PsvO+kBbdqYvzN42LgRePfdpHfL2cycOaZ5ZcOGaTF6dDXrT97n454UEEsVadKksTofcv8/Zc6c2aX5F+w5cO3aNWs0szsmRIrnzikzDQwa+DPnz56/AyISQJhtZFE5u+VyiYL/BgwYAAwaxPHK8DVz5gDs1B83icrdo3ycCZVWrTxzLAEROFD+/PmtP53Bg6sXH26FzJQpk8cnQPorT59TBg3On72IBAgWPb7wQvRb8YoVTS1DlSrwRdevmw0g8a288jH+U/q//3F0g4mPUlvABA68SLHB0e23326NjHYFn7du3TrUqVNHqW438eQ55esr0yASQHgVZQ0DOz5yu2XatGx5C7z+Onvow1etXw8cP574t82RGnyeJzpjB0zg4MQLiasXEz4vIiLCGs6kwME9dE5FJFWwgVOPHsC8eeY+Bw4yy+DK4EGb+/1310+BJ2jhXkREfBffbk+fbooeGTTwDQk7P27e7PNBw/79pt0EEyiuiDGMOFUFXMZBRET8BCsD2S560SJzv2pVk2W4+274chy0YgXw4YfAkiXRjzMeSmiVnTUOhQoBtWt75hiVcRAREd+7ujJAYJaBQQPrFzjFktssfTRouHrVTO9mHWejRiZoYEDw6KNm3hZLN3g/bk258/5HH3mmMJKUcRAREd/BKkCOvv7xR3P/3nuBL74wQYSPbgAZPx6YMAE4dco8ljUr0KmTaXJZokT0c7nlkrsrYhZKMtPAoMFTWzFJgYOIiPhGloFvyTlX4vx504vhrbeAPn3M7gkfs2uXWY6YORO4ds08xjmKDBa6dAFy5Lj5cxgccMvl6tURWLJkB5o0qYz69dN6LNPg5HtnW0REAsvRo+Zquny5uV+zplmqKFsWviQyEli82AQMq1ZFP37ffWaa92OPJR0DMUioW9eBS5dOoG7dSh4PGkiBg4iI2DfL8PnnQL9+wMWLpkX0O++YfL0P9Wi5dAmYNg0YMyZ6ayUPnx0fGTD42LgMBQ4iImJDhw6ZLIPzrXmtWqaWoXRp+Irjx4FPPjGxz9mz5jEuQbBEg52wuTThixQ4iIiIvfL5rBR89VXzVj1TJjOQildaH8kybNliliNmzQIiIsxjJUuaREmHDqb40ZcpcBAREXsICQE6dzb7D6lOHVMQyauuD8yTmDvXBAw//RT9eN26ZjmiWTOfiXuSpMBBRES8n2VgTp/TKy9f5ghj4L33zKAqm08mPn/erKCwfuHw4ehmTW3bmoDhnnvgdxQ4iIiI9/zxh8kycEIT1a8PTJoEFC8OOzt8GPj4Y3OoFy6Yx267zbSI7tnTc+2fvUGBg4iIeCe3zysvp1deuWIW/t9/31QO2jTLwE0eP/9sliN++MEkSuiuu8xY62eeMSUZ/k6Bg4iIpE7vhdOnzd8jIpCD9Qvbt5tGBXy7zhbRv/5qPt6gATBxIlC0KOyIMyLYtZEBw5Yt0Y+zNTSXI/inTWMd/wocTp8+jerVq2P16tUoeuOXZffu3ejYsSMOHjyILl26YOTIkQiK25hbRETsHzSUKWMGMHDNH0C9+J6XJYu5GnPbpQ3/recWSm6lZPmFs81zhgwms8AMg492ub5lwd4KGpo1a4bDzkoSAGFhYWjevDmqVq2KrVu3Yu/evZg6dao3Dk9ERG4FMw03goZEffst0LWr7YIGNmlinQLnQLz2mgka8uUzHa6PHTPJkUANGrwWOLRt2xbt27eP9diSJUsQGhqK0aNHo0SJEhg+fDgmcxuOiIj4JxtVELJ+gb2mmjc3naw5eIobPCpVAvge9sgRYPBgIG9ebx9pgC5VTJw4EcWKFcNL7IZxw86dO1GzZk1k5jYccLRoRSvrkBBmKHhzOs89MdZaVLh1cwfn67jr9UTnNDXonLqXzqcbRERYyxNJCWd3JC+fZ15Gvv02CB9/nAa7dpnMR1CQA02bOvDSS5HWXAhnQsQuvxLhqfA7mpzX8krgwKAhLl74Yz7O2oY0adLg7NmzyJUr103Pf/fddzF06NCbHl+2bFlU8OEuy52DVcRtdE7dT+fUvXQ+Uy7n77+jrgvP+2nDBoSePAlvCA1Njx9/LIolS4rh3LmM1mMZMkTgoYeOolmzP3HHHZesjMOSJQiI39HL/GZ9bVdF2rRpkYFVJzFkzJjR+mbiCxwGDBiAPhynGiPwKFy4MBo1aoTs2bO7LQLjD6Zhw4ZIx44ecst0Tt1P59S9dD5v0a5dSMt20S6o9cADHu+QtGcPMHZsGsyYEYSwMJNKKFTIgRdeiETnzg7kylUYAG+B9Tt6/kbW3qcCh9y5c1u7KmK6cOEC0qdPH+/zGWTEDTSIJ9Hd/7OnxmsGOp1T99M5dS+dz2RiqpszJYYNczmnn45bMz1wjtlvYdkys4GDfzpVrw7w/Wfr1kFIl479oNME7O9oumS8jm12nnJr5i+//BJ1/9ChQ1YNAwMKERGxsR07zFX4zTdN0FAv3s2XHse+UtxOWaEC0KSJCRrYb6F1a2DDBmDTJtMaWvFh8tgmcKhTp46VKpkyZYp1n7sqGjRoYNU5iIiIDV27ZoIFBg07d5qey19/bbYhZDR1Awnix/PkSZXDYtnEoEFA4cLA888D+/YB2bKZZk0HD5pmTpzSbbNdoD7DVjUOkyZNQrt27dC/f38EBwdjzZo13j4sERGJD7s+duwI/Pabuf/446ZTEhse0IEDUZ0juXuChZCsabCWJ4hBw513uvWQ2JiSyxHffBO9WsKa+969gU6dADeVvwU8rwYODm6cjaFFixYICQnBr7/+am3NvI3Rq4iI2Af3L7ITEqdXct4EGxuMGwe0aRP7eQwKnIFBeLjZPcFCSDevC/AQFi40AYNzGjex7pIZhpYt/WectV3YJuPglD9/fjRt2tTbhyEiInFxUAOzDNyaQE8+yS0KXumKdPEiwJVtjrPmGAxiMuOJJ0zAUK2axw8pYNgucBAREZth++ghQ8z0Sm5RuP12YMIEoFUrr4zBYKzCts+hoeYx7thnLYOzTbSkLgUOIiKSsI0bTZZh/35zn+MCOA7bw0vJPAwuR3z/vVmeoNKlzbCpZ58187LEMxQ4iIhI/HsZ33gDGD3aZBny5wc+/dQUDXgIO1LPmWMCBgYOTg89ZJYjuMUykMZZ24UCBxERie2nn8w2BI6JJL6l59XbQ311uAQxaZJJbHBpgtgL8KmnTIahYkWPHIYkQIGDiIgYnFcwcKCpOOSutzvuMB2UPFSwziJHBgtffGGKH4l1ly+8APToEb3TU7xLgYOIiADr1gGdO5sOScS6Bi5T5Mx5Sy/LeoS1a4Owbl1BZMkShPr1Y2+PZHyyfr1JaMybZ+4Tuz1yOYIlFUn1khLPUuAgIhLILl3i1ECzVYG4LYFbFho3vuWXZn3CSy8Bx4/zUlPNikP48kxoNGsGfPedCRi2bYv+HNYtcH4E6xjU2dGeFDiIiAQqdudlluHPP839Ll2ADz4AcuRwS9DAZpJx+vzhxAkzK4JbKM+eNY9lymTKKBhk3HXXLX9pSWUKHEREAg0LCDj6evx4c58dHpllaNTILS/P5QkGAXGDBnI+xqCBGzV69TI9GNQo2HcocBARCSQrV5osw5Ej5n737qZ9tBsHObBm4fjxpJ/35ZdAw4Zu+7LiIQocREQCwfnzwCuvAJ99Zu4XLQpMngw8+KDbv5QzJknKjRlY4mMUOIiI+Ltly0z9wrFj5j57M48YAWTN6tYv888/ZvWDxY+uKFDArV9ePESBg4iIv2Inpb59TWaBihc3f69Xz61fZtcuszti5kzg2jXzGLdcOltDx8XdEtxdUbu2Ww9DPESBg4iIP1qyBOjWzRQb8ErNKsThw9021IFdqBcvNgHDqlXRj993n+m/4ByeSTGLJJ1bLD/6SOOufZUCBxERf8LtCmyEMHWquV+ypGnF6Ka392z7wKJGXvidHakZAHDrJQOGGjWin8vHTR+H6MeYaeDnemGwpriJAgcREX+xcKHZ2/jXX+atPa/kb78NZM58yy/N/guffGJqK539F9juoWtXk8zgjs64GBxwJtbq1RFYsmQHmjSpjPr10yrT4OMUOIiI+LozZ8z0p+nTo+dNT5kC3H//Lb/01q1mOYJdHjmtkkqUMJkEdqVOqr6SQULdug5cunQCdetWUtDgBxQ4iIj4Mg54YC+Gv/82M6ZZDDl0qGnHmEIsauTLMmDYsCH68bp1TRKD7aIVAAQuBQ4iIr6ITRB69wa+/trcZ69mZhliFhmkoNUDyyE4ofLQIfNYunRA27YmoVGlipuOXXyaAgcREV/DQRCcM/3vvybLwMZOb76Z4jGShw+bYGHSJODCBfMYW0AzkcGR1pyuLeKkwEFExFecOgW8+KIpOKDy5U2WoXr1ZL8Ut0j+/LNZjvjhB7O90pm4YHbh6afdUlMpfkiBg4iIL5g1y7z95xIFCww4CnvQICBDhmS9THg4MHu2CRi2bIl+nPOtWL/AP5nEEEmIAgcRETtjH2e2iP7+e3O/YkWTZUhmwQG3UH7+udlS6eyrwJjjmWdMhoHJCxFXKHAQEbEjriV8841pkvDff0DatMDAgcDrrwPp07v8MmzSxNkR7Ad1+bJ5LF8+E4uwhiFv3tT7FsQ/KXAQEbEbbq1k8ePcueZ+5comy8A/XYw51qwxyxHsCeVs+cxkBZcj2rVL9gqHSBTbrWRNmjQJhQsXRubMmVGvXj38+eef3j4kERHP4BX+q6+AcuVM0MC9kG+9BWze7FLQEBYGTJsG3HOPmZa9YIF5SfZdWLkS2LED6NBBQYP4UeAQEhKCt956C/PmzcP+/ftRokQJdOBvuYiIv2Ob6BYtTNEBCxJYw/Drr8DgwSaASGKzBTtLFyliAoOdO82OCNZSHjhgAggGEs4BUyJ+s1Sxfft21KxZE1VuFP106tQJbdq08fZhiYikHqYEODWKFYrnzpn6BfZk6N8/yYBhzx4zMIqdppltoIIFTVkEZ0jkzu2Zb0ECi60Ch3LlymHVqlXYsWMHihUrhvHjx6Nhw4bxPjcsLMy6OZ1nyzNrq1G4dXMH5+u46/VE5zQ16Jz68Pk8fhxpXngBwT/+aN2NrFYN1ydOjN7iEM8xMM5YtiwIH38cjOXLo5PG1apFonfvSLRu7YiKN+zyK6HfUfufz+S8VpDDEXNSuvd1794dn3H8GmAFD5s2bULeeMp+hwwZgqHsxx7HzJkzrfoIERHbcjhw54oVqDBlCtJdvozr6dJhf7t2CGnZEo4EhkCEhQVjzZrCWLCgBI4fz2Y9FhzsQI0aJ9GiRQjKlj2jpQhJscuXL6N9+/YIDQ1F9uzZfSdw2Lx5Mx577DHMmTMHZcuWxciRI7Fs2TLr8aA4/0fEl3FgUeXp06eT/KaTE4EtX77cynqkSyJlKK7ROXU/nVMfO59HjyJNjx4IXr7cuhtZo4bJMpQtG+/TT54EJkwIxsSJwfjvP/PvYLZsDnTsGImePSNRrBhsT7+j9j+fvIbmyZPHpcDBVksVX3/9Ndq2bYsaN4a0DBs2DBMmTMDOnTtROU5FcYYMGaxbXDyJ7v7FTI3XDHQ6p+6nc2rz88n3aAwQ+vUzAyE4V2LYMAT/738IjifLsH272U7JVg7OLHLRomauVefOQcienZ/jWyMq9Ttq3/OZnNexVeAQGRlpZQycLly4YKVPrnPGq4iIr+IUqS5dzJ5IqlXLjKEsXTrW0/hPHfsuMGBYuzb6cT6d/RcefVTjrMX7bBU41K5dG88995y1qyJfvnxWT4f8+fOjIruWiIj4Gk6OYs0Wd0hcugRkygQMH262PcSIAC5eNP2d2OExJMQ8xkaR3FTGgCEFM6xEAiNwaN26Nfbt24ePPvoIJ0+eRIUKFfDDDz8otSUivofN6zp3Ni0cqXZtk2UoWTLqKUePAmPHmhWM0FDzWK5cQLduZghmoUJeOnYRXwkcWAA5ePBg6yYi4rNZhnHjgNdeM8MhuMvrvfdMN6YbYyc3bjTLEZxb5VyJLVXKtHJ47jkgSxbvfgsiPhM4iIj4tIMHTZZh3Tpzv149YPJkoHhxREQAP3wPjB5tAgcndnTkcsQjj2ictfgGBQ4iIreKaQOuOXBy5ZUrQNaswMiRwPPPI/RCMCaNMh8+csQ8nc0h27c3GYZKlbx98CLJo8BBRORWcBhEp07Azz+b+w89xGl9CLleFB+/bMoaWPxI7GXHoZe85c/v1aMWSTEFDiIiKc0ycFDEoEHA1avsygTH+x9gfdmu+PDlIMybFz3Omh2kuRzx1FOmfYOIL1PgICKSXPv3Ax07RhUrRDZohLlNJ+Kdz+/Etm3RT2vc2AQMHLmjdtDiLxQ4iIi4ihWOo0aZ6ZVhYYjMlh2LG3yI5zd2xF8rTGTAjMKzz5r6hbvu8vYBi7ifAgcREVdwhjWzDFu2WHd/u/MRtPr3Mxz8wTRbKFAA6NnTqodEnjxePlaRVKTAQUSEnZhOn7bKFrZtjUDITxew7a/tqFYtLdI4IoDZs+EYMwZB167hQtqceDHiI3x59Fl2n8E995jliCefNLslRPydAgcRCWwMGsqUsQoc2QSaI/asMXszYj+NCxEL0AzPR3yGv4PuQMsWJmCoU0f1CxJYFDiISGDjYD3uikjCILyNjzIPRKfOQdaEyhido0UCigIHEQloXJ5wZeBkyV6P4PhbQciZ0wMHJWJjanAqIgFt+3bXnlehAhQ0iChwEJFAxknXCxe6vqIhIgocRCQAnTgBDBgAlCgUhkILxrn0OdpiKWKoxkFEAsbWrWac9XffAZUitmIFOqAC9rj0udx2KSLKOIhIABQ/zpkD1K4NVK8OfD/zKt6KGICNqGkFDY5cuVx6nTSuVFCKBAAFDiLil86fNzOoSpUCWrcGNmwA7k+zCSE5qmAARiAtrluzrYNWrUp68hQ/rrUKEYuWKkTErxw+DHz8sTXZGhcumMfuyHUFX5d5E7U3j0JQaKSZaf3pp0DLltGjsW90jty6NQI//fQ7atUqbTpHMtPAoOHOO736fYnYhQIHEfF5HF/988+mfuGHH4DISPN42bLAu81/Rou5HRG88Xfz4DPPmFRE7tzRL8Cg4M47rX4OVSqH4+87TqLKI/cgTbp03vmGRGxMgYOI+KzwcGuMhBUw3Jg9ZeEY6749LqPRukEI+uAjE1nccQfw2WdAs2bePGQRn6fAQUR8ztmzwOefA598Ahw/bh7LkAF4+mkzzrrC2fVAp07AwYPmgx06AKNHAy4WQopIwhQ4iIjP+P13YMwYYOpU4PJl89jtt5tx1t27A7dnuQS8/jowdqzJMhQsCEycCDRp4u1DF/EbChxExNZ4/V+zxixHsMsj79Pdd5vplO3a3dgUsXatyTL8+ad5QpcuwAcfADlyePX4RfyNAgcRsaWwMOCbb0zAsHNn9ONNm5qA4cEHb4yzvngRePE1YNyNDpCFC5stFY0aee3YRfyZAgcRsZVTp8xOScYB//xjHsucGXjuOeCll4AyZWI8mT0YOnc2ezDp+eeBkSOB7Nm9cuwigUCBg4jYwp49Zpfk9Okm20AsUXjxRaBbt9i7J63uTq+8YnZJUJEiwOTJwEMPeeXYRQKJbQOHV199FXv37sWCBQu8fSgikkpYr7B0qVmOWLYs+vFq1cxyRJs2wE2tFJYvN/ULR4+a+y+8AIwYAWTL5tFjFwlUtgwcdu3ahfHjx2NnzIVNEfEbV66YzAIzDPv2mceCg4FHHzUBQ61aN+oXYgoNBfr1M/ULVKwY8MUXQL16Hj9+kUBmu8AhMjIS3bp1w8svv4zixYt7+3BExI1OnjS1C6xh+O8/8xgTBSxT6N3bxALx+vFHoGvX6KYNfPLw4UCWLB47dhGxaeDw6aef4rfffrOCh/nz56Nx48ZInz79Tc8LCwuzbk7nueZpdZILt27u4Hwdd72e6JwG6jndvp3zI9Lgu++CEB5uUglFizrQs2ckOnaMjKplvOlbOHcOafr3R/C0adZdR8mSuP7553A88EACnxAY59PX6Jza/3wm57WCHA7nrmjvu3jxIooVK4b8+fOjVatWWLduHS5duoS1a9ciU6ZMsZ47ZMgQDB069KbXmDlzJjKzBFtEvMoMjMqP+fNLYM+e6MmSd931H5o3D0GNGn8jTZqE//nJt3UrKo0fj0xnzsARFISQ5s2x/6mncJ0tIkXErS5fvoz27dsjNDQU2ZPYlWSrwOHLL79E9+7dcfToUeTJkwcRERG4++67rWULZiCSyjgULlwYp0+fTvKbTk4Etnz5cjRs2BDpNOzGLXRO/f+csq3CtGnB+OSTYISEmOwCA4THH3egd+9IVK+exD85Z84gTd++CJ4xw7rrKFUK1ydNguO++wLyfPoDnVP7n09eQ3nddSVwsNVSxfHjx1GzZk3r4Clt2rSoWLEiDjr7zceQIUMG6xYXT6K7fzFT4zUDnc6p/53TY8dMp2fOkGAdI+XMaVorvPhiEAoVYhARnPiLzJ9vPuHvv021ZJ8+CHrrLaSNk3EMhPPpj3RO7Xs+k/M6tgocChUqhCsst47hyJEjuP/++712TCKSuE2bzHZKTqnk8gSVKmWGTbFpk0v1i6yUZMHjzJnR87CnTAFq1kzVYxeR5Esi/Pespk2bWr0bWCDJ7MPHH39sbclkvYOI2EdEBDBrFsCYntf2b781QUP9+gBbr+zfb9oruBQ0zJkDlCtnggZmGV57zVRTKmgQsSVbZRxuu+02LF68GP369UOfPn1QoEABfPfdd1btgoh4H5cg2EaBSxJHjpjHuOmJg6aYYahcOZm9pXv1MlEHlS9vsgzVq6fKsYuIHwYOVKtWLfzyyy/ePgwRiSEkhNspTb8lFj8SS5F69DCZhfz5k/mCTFdwFjaDhzRpTJZh8GAWL6XG4YuIPwcOImIP3G+1fr2pX5g3L3qcNRMDzC489RSQ7JrFf/81AQMLIpyzsZllqFrV7ccvIjYJHH7//XeULl06dY5GRLzu2jXgu+9MwLBtW/TjjRubdtANG8bTDjopjDq4JMGJVSyETJsWeP11YOBAs9YhIv4bOFSuXBllypTBk08+ad3YsElEfB+v5xw2yZbQf/1lHsuYEXj2WTPOmvWLKcKtlVzTmDvX3K9UCZg6NZkFESLis7sqTp06hYEDB2L37t2oUqUK7r33XowePRrHuIlbRHwOd0B07w6wBpkJAAYNBQoAw4aZ3gwMJlIUNDDLwCZO/GQGDdwnzm6vW7YoaBAJpMAhS5YsePzxx/HVV19ZQUTXrl3x9ttvo2jRoqhduzY2bNiQOkcqIm7DazqnUz/yCFtAm+CALVTuuYcdXIHDh00QcaMXW/Ix+mjZEnj6aeDsWaBKFfafBt54I5452SLi98WRf/zxB77//nvMmTMHe/bsQZMmTaxlC/a6btOmDU5yBJ6I2M7VqyYJwHHWu3ebx1iv0KKFqV+oUycF9QtxIxJGHqyePHfOBAlDhgD9+ytgEAnUwKFChQr4888/8fDDD1szJFq0aGFlIejQoUNR7aJFxD7++QcYPx6YMMHsgCT+b9upk2nYWLKkG74IR16zXfTixeZ+tWpmx0SFCm54cRHx2cDhtddeQ8uWLZEtW7abPsZCSY7EFhHPYLfGtWuDsG5dQWTJEmR1bmRbBCf+78jdEcwycLcEsZaBfZe6djWzJG4ZswwMEJiy4Hh77pJ46y2gb1+ze0JE/Eqy/69+mmuWIuJ17NTM3Q7Hj/N/42oYPZrzXkygwP4K/HPlyujn16hhru2tW7vxen70KMDJtUuXRn8RBhEsnBARv6S3AyI+GjQ8/nh0U6aYqwVt2kTfZ/aBgQIDBreOfuAXZu9pZhUuXDD7Nt9+23yhmCkPEfE7ChxEfHB5gpmGuEFDTCxwZH0in1ekiJsPgFsuuM6xYoW5z0lX7EVdpoybv5CI2JGtpmOKSNLYBpqZhcQwqOBOCbcGDZGRprqSbaIZNDjXQ9atU9AgEkCUcRDxsWwD50a4wq27ov/8E+jSBVi92tyvXRuYPBkoVcqNX0REfIEyDiI+gJsV2HuB12n+6Qp2f3RLluGTT0yWgUFD5sxmTOaaNQoaRAKUMg4iNsZyAl6n+eaewQPlygVERJjx1vHVObC+gbsrmBS4JQcPAp07m6UIqlfPFESWKHGLLywivkwZBxGbYTDw889mdwSv0SwjYNBQtizw6aemvoEzoihul0fnfWYlUry5gVmGMWOAihVN0MBOUZx8xb2dChpEAp4CBxGbCA8HvvnGbJusVQuYPdtcwznGms0Y9+wxjRm5WtCqlfl4wYKxX4OZBj7Oj6fI77+bvtPcksHhFQ8+aLpIvfACEKx/LkRESxUiXscZUBMnAmPHRu+WyJDBzIfi9Tuhjs0MDjhHavXqCCxZsgNNmlRG/fppU5ZpYNUl0xSDBpmBFlmzAqNGmW2XtzS8QkT8jQIHES/54w+zIsBGi5cvm8duvx3o2dOMuebfk8IgoW5dBy5dOoG6dSulLGjgXO2OHYGNG819pjgYybi9AYSI+AMFDiIerl/ghgTWLSxcGF3cyHICNl1s185kGzyCFZbsU81R12FhQPbs5j4nXynLICIJUOAg4gG8LrN+gasBO3ZEP960qQkYWErg0Ws1CyaYZdiyxdxv0gT47DMzAUtEJBEKHERSEUdYcycER1r//bd5jMWNzz1n2kF7vOEiswzvvw8MGWLGZebIYaIZHpCyDCLiAgUOIqn0hp7X46++MrWGxB0QL75ohknmzu2Fg+LuCGYZfv3V3G/WzEQ1cbdmiIgkQoGDiJuwXoHTpVm/sGxZ9OPVqpnlCPZlSJfOS/s8R4ww0yv5d3aQYlepp55SlkFEkk2Bg8gtYruD6dNNhmHfPvMYWx48+qgJGNiTwWvX5507TZZh+3Zzn/s3OajKLf2oRSQQKXAQSSEOkWLtAq/D//1nHsuWzXRp7t0bKFbMiwfH+oXhw4F33jF1DVwb4cyJtm2VZRCRW6LAQSSZuCuCyxFff20y/1S0qAkWGDRwV2OqO3oUOH3a/D0iAjlCQkxWIW1ak/YYNsz0Z3B2imKEky+fBw5MRPydrQOHxo0bo23btujQoYO3D0UCHFs/s+8CAwb2YXDiMgSXI7gCwGu2RzBo4HaMG1WXLJuoF9/zWMvA4kcWVyjLICJuYtvm8zNmzMBSVpqJeBEnUDLDz+s0gwMGDezOyEZNmzcDGzYArVt7MGggZhqcWzUSM2sW8MQTChpExP8zDmfOnEHfvn1RxuOb3EWMY8fM7Ah2Xj53zjyWM6cZMsUtlRwmZXvMOIiIBELgwKDhsccewxWWqycgLCzMujmd59xha+dZuHVzB+fruOv1xP7ndPPmIIwZE4w5c4Jw/bp5p16ypAO9e0fimWcirQnT5NXDj4iwlieSEs6iSJueZzuz+++oL9I5tf/5TM5r2S5wWL16NVauXIk9e/agV69eCT7v3XffxdChQ296fNmyZcjM1nxutHz5cre+ntjrnDJA2LixAObPL4EDB6I7M9199ym0aBGCqlX/sbZXrl0LW8i1bx/quPC8nzZsQCi3fojP/476C51T+57Py85Je74WOFy9ehXPP/88JkyYgGzc15aIAQMGoE+fPrEyDoULF0ajRo2Q3U1l7YzA+INp2LAh0nmlc4//sdM5DQ0FvvgiGOPHB+PIEZNdSJ/egSefZIbhOipVygmgKuwk6JdfkIb7P11Q64EHgHvuSfVj8jd2+h31Fzqn9j+fzqy9zwUOb7/9NqpXr46mnPyThAwZMli3uHgS3f2LmRqvGei8eU7//NM0Tpw82RQ/Up48QI8ewAsvBCF//iD71Q3z3cDgwWZbh3OkZhLSsWJTv7cppv/v3U/n1L7nMzmvY6vAYebMmTh16hRysgrtRurku+++w+bNmzGe+9BFUojXWu6A4HV37tzoa2/58sD//me6L2fKBHtav96Muj540Nxv3hxYsMDbRyUiAcpWgcP69esRwYKuG/r164eaNWuqj4PcUgNF7kpkwOCc7USNG5v+Cw0b2ni34qVLwOuvm+0djHQ4jIrbPBjtcG0zsS2ZGTOaNIqIiD8HDoXi7HHLmjUr8uTJY91EkuPMGeCzz0wPhr/+ir6WPvusyTDcdRfsjZWYzDJwXYXYknLUKDMGmw4ciOocyd0TLIRkTYO1PEH8f+bOO7119CLix2wVOMQ1depUbx+C+BheTzlsato0M3yKOM+pZ0/Tg8H2MSiLLl57DRg3ztwvXNhkGR5+OPbzGBQ4A4PwcLN7goWQWj8WkUAOHERcwSz+ypVmOWLx4ujHeR3lcsSTT3K3BOxv1SqTWTh82Nzv1g14/30PDb8QEXGNAgfxWVzinznTZBh++808xnqFFi1MwFCnjo3rF2K6cAF45RUzV4KKFAEmTQIaNPD2kYmI3ESBg/icf/4xo6x5+/df8xg7OrIkgBMqS5aE72CRY5cuZnAVvfACMGKEmc8tImJDChzEZzCrwOWIGTPMbglnCQCDBV57b+zi9Q3sPtW/v6lfoGLFTGOJ+vW9fWQiIolS4CC2H2f9448mYFixIvrxGjXMcoTHJ1O6A7+hrl2B48fNfbZWHz6c24i8fWQiIknytX9yJUCwUeKXX5r6Be6UII6zZqDAgKFmTfgejtlkm/QpU8z9EiXY89oUY4iI+AgFDuIx16+zPUEQ1q0riCxZgqysPIOBmE6cMDsR2YOBvRiIrQv4Bp3jrFk36JMWLTK7JNhUghWbL70EvPMO4OaBbCIiqU2Bg3jEnDnmWnn8OH/lqmH0aDb8AsaMAVq1Ml0duRzx7bfW1GhL8eLmczp29OFawbNnTccppk+oVCmTcahVy9tHJiKSIgocxCNBw+OP3zybidkFLj2wi+O+fdGPM3PP5QiOZIibkfAp8+ebrlN//w1rLjeXKd56y8ZDMUREkqbAQVJ9eYJZg/gGOjofY9DAAKFdOxMwVKkC3/bff+ab5vYPKlvWZBl8sjBDRCQ2BQ6S6oMdnZsHEvPNNyYr4RfpFfZiYLMJZhm45XLIEDMoQ0TEDyhwkFTFEQquCA+Hbzt1ymyrZJEGlStnsgz33uvtIxMRcatg976cSHQgwCzC22+79nwOovJZnNvNUdcMGrjmwlHY27YpaBARv6SMg7h9EwGbIXKc9bFjST+fOxO5u6J2bfge9rvm2M3Zs839ChU40hWoWtXbRyYikmoUOIhb/PGH2VrJ6+alS+ax228311W2hebQR4pZJOkcQMUmTz61e4LfBLMLbCzBQki2rmSWYeBAHxnDKSKScgoc5Jaun2vXmv4LCxZEBwUVK5rdEdwlkSFDdBMn08ch+vOZaWDQwD4OPoNbK1n8+MMP5n6lSqaWgTO8RUQCgAIHSTYOmGL9AgOGHTuiH2/a1AQMDz548zhrBgctWwKrV0dgyZIdaNKkMurXT+s7mQZGRZzhzYlabGnJLMPgwcBrrynLICIBRYGDuOz0aeDTT01LaL7xJnZMfu45k00oUybxz2eQULeuA5cunUDdupV8J2hgm+ju3U1ahdhoglkGplZERAKMAgdJ0t69Zklh+nTg6lXzWMGCZomf4xdy54Z/YpaBraLZMpoDqtKlA958E3jlFfN3EZEApMBBErxmLltmliOWLo1+vFo1sxzRpo2fXzvZD5tR0eLF0d84swzcOSEiEsAUOEgsV64AX31lMgzMNBAbID76qAkYOJspbv2C30VMDBA4VyI01NQvDB0K9Otn6hpERAKc/iUUC2sWWLvAGgbWMhAnUnIbJesBixWD/2PjCc7vdqZYatQAvvjCdIEUERGLAocAx10RXI74+uvots9Fi5pgoVMns43S7zHLMGkS0LcvcOGC2UM6bJhJsfhMBaeIiGcocAhAkZHAokXA6NHAmjXRj3MZgtdKbpsMmKz8kSNAly7AihXm/v33myxDUltEREQCVKBcHgTAxYvAtGmmwyM7PRLfULPQkQFDQI1WYPT02WdmhwRPTKZMwDvvmFSLsgwiIglS4BAgS/ecHfH552ZXIeXMaTYNcEslW0IHlEOHTPHG6tXm/gMPmCxDqVLePjIREduz3XTMefPmoXjx4kibNi0qV66Mffv2efuQfNbmzabtMwsbR440QQOvjc4BVO+9F2BBA7MM/ObvvtsEDexexfQL+2YraBAR8b3AISQkBB07dsSIESNw4sQJlC5dGl24/iwui4gwwxpZr8BNAWwNff06UL8+MH8+sH+/GTyVNSsCS0iIOQm9epkpXHXrArt2maUJ7jcVERHfW6pgdoFBwxNPPGHd79GjB5pyAIIkiS0HJk8GPv7Y1PsRGzS1b28aH1aujMDELMPYscCAAaZJRZYsJv3CFtIKGEREfDtwaNasWaz7Bw4cQKkEUshhYWHWzen8+fPWn+Hh4dbNHZyv467XSw1//sn+C8GYOjUYFy6Yzkx58jjQrVskunePRP785nl2+RY8ek5//x1punVD8M8/W3cj69fHdTaq4NoN0zC8+QFf+D31JTqf7qdzav/zmZzXCnI4nMOQ7eXatWsoX748+vTpY2Ue4hoyZAiGsqNfHDNnzkRmrl37Mf7E9u7NjQULSmDz5gKIjDQBQ+HC59GiRQjq1DmODBkiEbCuX0eJBQtw18yZSHPtGiIyZsTujh1xpFEjP297KSKSMpcvX0b79u0RGhqK7Nmz+2bgMGDAACxZsgRbtmxBuniGIsSXcShcuDBOnz6d5DednAhs+fLlaNiwYbzH4GkMCGfNCsLHHwdj27boNHujRpHo3TsSDRs6bH9dTPVzun8/0nTtiuBNm6y7kQ0a4PqECUCRIvBXdvs99XU6n+6nc2r/88lraJ48eVwKHGy1VOG0atUqjBs3Dhs3bkzwpGTIkMG6xcXnu/sXMzVeMznOnDEtB7ghgBOeKWNG4JlnTP1CuXIMInxrvd7t55RVoexo9cYbjCoB/uKPGoXgzp0RbPdoyk9+T/2Nzqf76Zza93wm53VsFzgcOnQI7dq1swKHcgE+I+DAATNsik2bWNdHrFngrgjW9uXJ4+0jtAlO4+rY0ew/pcaNTdOKgNprKiLiGbYKHK5cuWIVSLZs2RKPPfYYLrKjH1gInwVBAfKukQtHK1ea+RHOic7EXRHs7vjkk2aUgtzIMrz/PgteWBRjBmsw0nruOdUyiIgEQuCwbNky7N2717pNnDgxVhaiKCcv+bGrV82gKQYMv/1mHuO1r3lzEzCw7YCuhTHwJDHL8Ouv5j637XI9p2BBbx+ZiIhfs1XgwEyDTWs1U82//wKs3Rs/3vyd2GqA10T2JlJDw3gqREeMAN5+2/w9Vy7T/fHppxVZiYgEWuAQaG+YmVWfMcPU8hGX5NnYkM0yeT2UOHbuNBHV9u3mfosWAPsyFCjg7SMTEQkYChw83MTwxx/NcoRzijOxNTSXI1q1Mt0eJQ7WLwwfbqZXsq4hd27TDZKDOJRlEBHxKAUOHnD5MvDllybDwJ0SxG7HDBT69AHuu8/bR2hjzC506GDmShBPGtd18uXz9pGJiAQkBQ6p6MQJtoM2NXvsxUBsL8ClCC5J+Hm9563h+s2wYcC775rW0Nx7ypPZpo2yDCIiXqTAIRWw0J/LEd9+azLrxPEIL70EdOoEZMvm7SO0ua1bTS3D7t3mPoeesftV3rzePjIRkYCnwMFN+KaYY6sZMKxfH/147dqmfoF1fGnSePMIfWRP6ltvmemVPKEMFLgs8fjj3j4yERG5QYHDLbpwAfjiCzPOmpMqKW1a06iJAUPVqt4+Qh/B2RLMMuzbZ+6z8JEnVe0xRURsRYFDAviGd+3aIKxbVxBZsgShfv3YGYMjR8x1bdIkDgcxj7HY//nnTUto9SGK4ehR4PRp8/eICOQICTFFj4ywmGVg5SgbfnHbCYseucXy0Ue9fdQiIhIPBQ7xmDPH1CMcP87TU82anVSokOkzxJYBXI74/ntznaMyZcywqWefBfx8onfKggaeIAYIHKQCoF5Cz2UTJ55kRmAiImJLChziCRq4pB63geXx40Dr1rEfe+ghsxzRpInZXinxYKbhRtCQKEZjjL5ERMTWFDjEWZ5gpiGprtecocT+CxUreurIAkCdOt4+AhERcYHeJ8fA3RDMLCSF/YgUNIiISCBS4BDDyZPufZ6IiIi/UeAQg6uzkjRTyUUXLwLvveftoxARETdS4IDYzZq4eyKhjsZ8nBMs+TxJwqpVwN13A9995+0jERERN1LgEAP7NHA3IMUNHpz3OahKHSCT6IjVo4fZcnL4MJA/v7ePSERE3EiBQxwcvjh79s0NnJiJ4OP8uCSAs8IrVDANnOiFF4CVK4GMGRP/PH5cHSJFRHyCtmPGg8FBy5bA6tURWLJkB5o0qYz69dMq05CQ0FCgf3/T/dE50WvyZFjtNomzxG90jgyPiMBPGzag1gMPIB07RxKDhjvv9NbRi4hIMihwSACDhLp1Hbh06QTq1q2koCEhP/4IdO0avY+V88KHDweyZo1+DoMCZ2AQHo5Qbku55x4gHftIioiIL1HgIClz7pzpgjVlirlfooSZ9qVGTiIifk01DpJ8ixYB5cuboIFVo2wVvWuXggYRkQCgjIO47uxZEyRwmiWVKmWCh1q1vH1kIiLiIco4iGvmzzdZBgYNzDL07Qvs3KmgQUQkwCjjIIn77z8z+WvGDHO/bFlTy3Dffd4+MhER8QJlHCRhP/xgsgwMGjg3/NVXge3bFTSIiAQwZRzkZqdOmW2V335r7pcrZ2oZ7r3X20cmIiJepoyDxMb2mMwyMGhg84rXXwe2bVPQICIi9gwcdu/ejerVqyNXrlzo378/HA6Htw8pMPz7L9Cmjbkx48DW0Zs2Ae+8A2TI4O2jExERm7BV4BAWFobmzZujatWq2Lp1K/bu3YupU6d6+7D8GwMzZhe4HMFsA9tADx4M/PorULWqt49ORERsxlY1DkuWLEFoaChGjx6NzJkzY/jw4ejZsyc6duwYb5DBm9P58+etP8PDw62bOzhfx12vZzt//400vXoheN48666jYkVEcN4E20FTKnzffn9OvUDn1L10Pt1P59T+5zM5rxXksNFawNChQ7Fp0yYsXrzYus9Du+2223DmzJmbnjtkyBDr+XHNnDnTCjokEQ4HCq1bh7snTUL6CxcQmSYNDjzxBP5o1QoOzY8QEQk4ly9fRvv27a0379mzZ/edwKFv3764evUqxo0bF/VY3rx58fvvv1s1D0llHAoXLozTp08n+U0nJwJbvnw5GjZsiHT+ckE9eRJpevZE8MKF1l1H5comy1Cpkke+vF+eUy/TOXUvnU/30zm1//nkNTRPnjwuBQ62WqpImzYtMsQpxMuYMaMVCcUNHPi8uM8lnkR3/2Kmxmt6HOPD6dNNMycOqOL38+abCHrlFa98b35xTm1G59S9dD7dT+fUvuczOa9jq8Ahd+7c1q6KmC5cuID06dN77Zj8wokTQLduwI0lIFSrZvoycOeEiIiIr+6q4DbMX375Jer+oUOHrOUIBhSSwiwDAwT2ZWDQwADs3XcBnmMFDSIi4uuBQ506dax1lim82AHWrooGDRogDRsRSfIcOwY0aQJ06gSEhgI1aph20a+9ZrZcioiIpIDtahwmTZqEdu3aWc2fgoODsWbNGm8flu9lGSZNMtMrL1wwzZuGDQNeftl0ghQREfGXwIFatGiBkJAQ/Prrr6hZs6a1HVNcdOQI0LUrsHy5uc9hVJxkyYmWIiIi/rZU4ZQ/f340bdpUQYOrIiOBTz81dQsMGjJmBEaPBtavV9AgIiL+nXGQZDp0COjcGVi92tx/4AGTZShVyttHJiIifsiWGQdxMcvARll3322CBnbLHDMGWLtWQYOIiKQaZRx8UUiIyTIwSKC6dYHJk4ESJbx9ZCIi4ueUcfC1LAOzCswyMGjIksVkHVatUtAgIiIeoYyDr/jjD9OTYcMGc//BB822y2LFvH1kIiISQJRxsLvr180OiYoVTdCQNavZQbFihYIGERHxOGUc7Gz/fpNlcLbhbtgQ4CTLIkW8fWQiIhKglHGwa5bh/feBypVN0JAtmwkYli5V0CAiIl6ljIPd7N0LdOwIbN5s7jduDHz+OVC4sLePTERERBkH24iIMJMr77nHBA05cpjJlpxqqaBBRERsQhkHO9i922QZtm4195s2BT77DChY0NtHJiIiEosyDt4UHm4mV1apYoKGnDmBL78EFixQ0CAiIrakjIO37Nxpsgzbt5v7LVqYbZYFCnj7yERERBKkjIOnXbsGDB0KVKtmgobcuYEZM4C5cxU0iIiI7Snj4EkMFDp0AHbtMvdbtTIto/Pn9/aRiYiIuEQZB08ICwMGDwaqVzdBQ548wLffArNnK2gQERGfooxDamPRI2sZuHOC2rQBPvkEuP12bx+ZiIhIsinjkJpZhtdfB2rWNEFD3rzArFnAd98paBAREZ+ljENqYAMnZhnYBZLatgXGjjVLFCIiIj5MGQd3unoVePVV4L77TNCQLx8wZw7w9dcKGkRExC8o4+AuHEbFLMOBA+b+008DH30E3Habt49MRETEbZRxuFWXLwN9+wK1apmggb0Y5s8Hpk9X0CAiIn5HGYdbsWED0KkT8Mcf5v5zzwEffgjkyuXtIxMREUkVyjikxKVLwP/+B9SpY4IGzpVYtAiYOlVBg4iI+DVlHOI6ehQ4fdr8PSICOUJCTMfHtDdO1cGDZpslHydmHEaNMgOqRERE/JytAod58+bh5ZdfxtGjR1GhQgV8/fXXuOuuuzwbNJQpY3ZHAEgHoF5Czy1UCJg0CXj4Yc8dn4iIiJfZZqkiJCQEHTt2xIgRI3DixAmULl0aXbp08exBMNNwI2hIFGdM7NmjoEFERAKObQKHffv2WUHDE088gXz58qFHjx7Y7hw5bTcDBwLZs3v7KERERAJ3qaJZs2ax7h84cAClSpVK8PlhYWHWzen8+fPWn+Hh4dYtRSIirOWJpIRHRPALpexrBDjnzybFPyO5ic6pe+l8up/Oqf3PZ3JeK8jhcDjgQY8++ijWrFlz0+PDhg3Diy++aP392rVrKF++PPr06WNlHuIzZMgQDB069KbHZ86cicyZM6fo2FgIWY89GZKwZtQohJYokaKvISIiYjeXL19G+/btERoaiuxJZNQ9Hjj8888/uHLlyk2P586dO+pgBwwYgCVLlmDLli1Ily6dyxmHwoUL4/Tp00l+0wnavh3patRI8mnhmzYB99yTsq8R4BjVLl++HA0bNkzwZyvJo3PqXjqf7qdzav/zyWtonjx5XAocPL5UwfqFxKxatQrjxo3Dxo0bEz0hGTJksG5x8XNSfCKdWy6TkI7P0y//Lbmln5PES+fUvXQ+3U/n1L7nMzmvY5viSDp06BDatWtnBQ7lypXz9uGIiIiIXQMHLl+wQLJly5Z47LHHcPHiRevm0ZUUTrDMmDHx5/DjmnQpIiIByja7KpYtW4a9e/dat4kTJ8bKQhQtWtQzB3HnnWZQ1Y3Okdw98dOGDaj1wANmeYIYNPB5IiIiAcg2gQMzDR6u04wfgwJnYBAejtCTJ00hpNblRERE7LNUISIiIvanwEFERERcpsBBREREXKbAQURERFymwEFERERcpsBBREREfG875q1ybuV0Tsl0Vz9wDv7ga6pNqnvonLqfzql76Xy6n86p/c+n89rpSlsEvwkcLly4YP3JQVciIiKSsmtpjhw57DUdM7VERkbir7/+QrZs2RAUFOSW13RO3Dx27FjKJ25KLDqn7qdz6l46n+6nc2r/88lQgEHDHXfcgeDg4MDIOPAbLVSoUKq8Nn8w+mV3L51T99M5dS+dT/fTObX3+Uwq0+Ck4kgRERFxmQIHERERcZkCh0RkyJABb775pvWnuIfOqfvpnLqXzqf76Zz61/n0m+JIERERSX3KOIiIiIjLFDiIiIiIyxQ4iIjEcO7cOWzatAlnz5719qGI2JICB/Go06dPo1ixYjh8+LC3D8XnzZs3D8WLF0fatGlRuXJl7Nu3z9uH5PNmzZqFokWLokuXLlZfGN4X92jcuDGmTp3q7cPweb1797aaHDpvJUuW9PgxKHBIwO7du1G9enXkypUL/fv3d6l/tyQdNDRr1kxBgxuEhISgY8eOGDFiBE6cOIHSpUtbFztJudDQULzwwgtYt24dfvvtN4wbN876f19u3YwZM7B06VJvH4Zf2Lp1KxYtWmRlxHjbvn27x49BgUM8wsLC0Lx5c1StWtX6Ie3du1eRshu0bdsW7du39/Zh+AVmFxg0PPHEE8iXLx969OjhlX9A/K2N70cffYSKFSta96tUqYL//vvP24fl886cOYO+ffuiTJky3j4UnxcREYE9e/agTp06yJkzp3XjmAVP03bMeMydOxedOnXC8ePHkTlzZuzcuRM9e/bEhg0bvH1oPu3QoUPWMgXTa/w7U8LiHp9++ikmTJhg/a6Ke6YPduvWDdevX8eXX37p7cPxacyMZcyYEVeuXEG9evXQoUMHbx+Sz9q+fbsVNPDNAjONdevWxeeff44777zTo8ehjEM8+I9vzZo1raCB+A6EWQe5NQwaxP2uXbuGUaNGoXv37t4+FL/5/z9//vz48ccf8fHHH3v7cHza6tWrsXLlSowcOdLbh+IX9u7da2Vupk+fjl27dln1TQxwPU2BQwIpy5gXOb5DTpMmjaqsxZbYQS5LliyqcXATvlFYtmwZSpUqpXN6C65evYrnn3/eyoR5I53uj5566ilr+fy+++6zfj/Hjx+P5cuXW9csT/Kb6ZjuxCgubitPptouX75sFUuK2MWqVausIr6NGzciXbp03j4cv8A3CqxvmjZtGkqUKGFtz+RasiTP22+/bRWYN23a1NuH4rduv/12REZG4uTJkx6dOqqMQzxy586NU6dOxXqMc8rTp0/vtWMSiYt1Iu3atbMCh3Llynn7cHze2rVrY+2i4P/vDCKCg/XPZErMnDnT2jLsLOLjfe5a4U1Shr+fPI9Ov/zyi/X7WbhwYXiSMg7xYJQ8ceLEWP9Ac6cFAwoRO2ChGbe2tmzZEo899hguXrxoPc4lC17sJPm4pZWFZkwBN2nSBIMGDUKjRo08+k7On6xfv97aBeDUr18/q3ZMxZEpV6lSJev3ksWRLNzt1asXnn322ah6PE9RKB0PVq1yzWjKlCnW/eHDh6NBgwZWnYOIHXANnoVSDHC5fuy8HTlyxNuH5rMKFCiA2bNnY8yYMShfvry1NKkdFSnHBlrcOeW8Zc2aFXny5LFukjJPP/00nnzySbRu3drKNrKp1ieffAJP03bMBMyfP9/6wWTKlMlKBa1Zs0bpYBERCXgKHBLx999/49dff7XSa7fddpu3D0dERMTrFDiIiIiIy1TjICIiIi5T4CAiIiIuU+AgIiIiLlPgICIiIi5T4CAiIiIuU+AgIiIiLlPgICIiIi5T4CAiIiIuU+AgIqmKI39z5Mhhjf6mN998E7Vq1YJ6z4n4JnWOFJFUN3r0aGvE8qxZs6wplJz9UrlyZW8floikgAIHEUl1HK/MQIHjf2vUqIGxY8d6+5BEJIW0VCEiqS5t2rTo0qULtmzZgu7du3v7cETkFijjICKp7vz589ZY+vLlyyNr1qz4/vvvvX1IIpJCyjiISKobOHAg7r//fitgYJHkwoULvX1IIpJCyjiISKravHkzHnzwQezZswdFihTBjBkzrECC97NkyeLtwxORZFLgICIiIi7TUoWIiIi4TIGDiIiIuEyBg4iIiLhMgYOIiIi4TIGDiIiIuEyBg4iIiLhMgYOIiIi4TIGDiIiIuEyBg4iIiLhMgYOIiIjAVf8Hr4Z4hS7a1VAAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 600x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 画 y = 2x + 1 的图像\n",
    "slope = 3\n",
    "intercept = -2\n",
    "y_new = slope * x + intercept             # 计算对应的y值\n",
    "\n",
    "plt.figure(figsize=(6, 4))                # 设置图像大小\n",
    "plt.plot(x, y, 'b-o', label='y = 2x + 1') # 绘制图像\n",
    "plt.plot(x, y_new, 'r-s', label=f'y = {slope}x + {intercept}')  # 绘制图像\n",
    "plt.xlabel('x')                           # 设置x轴标签\n",
    "plt.ylabel('y')                           # 设置y轴标签\n",
    "plt.legend()                              # 显示图例\n",
    "plt.title(\"改参数看变化\")\n",
    "plt.grid()                                # 显示网格\n",
    "plt.show()                                # 显示图像"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "8f7e5e68",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.array([1, 2, 3])\n",
    "\n",
    "# 重新计算对应的 y 值\n",
    "y = 2 * x + 1\n",
    "y_new = 3 * x - 2\n",
    "\n",
    "plt.figure(figsize=(6, 4))                # 设置图像大小\n",
    "plt.plot(x, y, 'b-o', label='y = 2x + 1') # 绘制图像\n",
    "plt.plot(x, y_new, 'r-s', label=f'y = {slope}x + {intercept}')  # 绘制图像\n",
    "plt.xlabel('x')                           # 设置x轴标签\n",
    "plt.ylabel('y')                           # 设置y轴标签\n",
    "plt.legend()                              # 显示图例\n",
    "plt.title(\"改参数看变化\")\n",
    "plt.grid()                                # 显示网格\n",
    "plt.show()                                # 显示图像\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "183e47a4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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/TiGIAAAkNe3TBoD6bVWbDuXOndsrN3E9D13OXW922Wl8hMwDM528cOTIEalSpUqOZSQIIgAASVkIvYGXKVPGTLH0Fj0HPRftXkwQkXNKlChh1qzS4aKcCiL41wEApMKNOzCFuCGrxG8KAACwheEMAECO00kV33wjcuyYSOnSIvfeK5LDEwPgA8hEAABy1JIlIro4c9OmIt26WX/qY90fKJYvXy4VK1Y0U1Fr164te/fu9er5/Pbbb15ZN4ogAgCQYzRQeOghkSNHUu8/etTaHwiBRHR0tPTo0UMmTpwoR48eNQtX9erVK0deWwsfmzRpkq3n/P777/LAAw/IqVOnxNMIIgAAGdKegOfOubbFxYkMHGg9J73XUYMGWce58nqZ9CPMEQ8++KBZrynt9s4772T6PM06aADxyCOPSMmSJaVfv36yc+dO8Za2bdtK7969vfLe1EQAADKkPadyqjeRBgWaoShSxJXvt9dJXFyiuLIy9fz5881Nfc+ePeax9pjQ6Yx6Y7/lllsyfN67774rFy5cuGp/VsMCbdq0SfV43759pveC0kZd+p6rVq0y6z+NGTNGvvrqK/n222/d1nPjiy++MK89bNgw8TQyEQAAv9a+fXszxKA3cxUREWGGGDILIJRmEcqXL3/VVrhwYZff+/LlyzJ58mTp27eveVy6dGkTOLzwwgvy119/ydSpU2XatGlZBhDNmzc3WZBatWqZgMOZFZkzZ06W51ChQgXxFoIIAECGtOfU2bOubStXuvaaelxmr6MZiCNHTpv3doXe9Fu2bCmffvqpebxs2TLp3LmzeMKYMWOkQIECqWoiBg4cKDExMSZj0b17d1N4mZV58+bJDz/8ICtXrpS77rrL/F23h7SQxIcRRAAAMqRfoAsUcG1r0UJXZLaek9FrlSljHefK62Un+6/1CUuWLDHdGFesWOFSEGG3JsJpzZo1JsuwcOFCs7iVk87Y0KBi27ZtSRmKrGgGQ7MguraFdup0ZkUKuTKe40XURAAAcoT2gZg61ZqFoQFAysJIZ0Dw5pvu6RfRrl07c+PW9H/lypWlUqVKWT7Hbk2E0jVGunbtaoKI6tWrp/pZXFycvP7669KiRQsZPXp0UoYkEJGJAADkmI4dRT75ROSmm1Lv1wyF7tefu4Mu1tWqVSt5/vnnXR7KsFsToYGHDlW0b99eOnToYAo5ddNFrtRLL70k9evXN8HD5s2bTeGjq/T9161bJ/6CTAQAIEdpoNC+vec7VmrwoEMaOrThTqtXr5aoqCizzZo1K1V2QospNRuiM0U0sJk0aZI8++yz0rRpU1M7EWgIIgAAOU4Dhmz2TLom2nBJMwSaAShXrpxb30szEM6sQ3qZBM1KOD366KNmczd934zOyZ0IIgAAfk9rIo4fPy6LFi3y9qkEFYIIAIDf2717t7dPIShRWAkAAGwhiAAAALYQRAAAAFsIIgAAgC0EEQAAwBaCCAAAbDh9+rRs2bJFTp06JcGKIAIAkHMOHRLZsSPjTX8eABYvXmwaPOl6Hbpolj72luXLl0vFihXNwl+6YujevXs99t70iQAA5AwNEKpVE7l4MeNj8uYV2bdPpGxZ8VexsbHSv39/2bBhg9SqVUvmzp0rw4YNk4cfftjj5xIdHS09evSQmTNnSuPGjWXAgAEmsNm4cWNgZyJOnDghFSpUkAMHDvhENAUAuEYnTmQeQCj9uR7nA+wuBa6rdL755psmgFB16tSRmJgY8Qa9T06cONGsF6ILivXr10927twZ2JkIDSB0BbSUAYS3oykAQDp0PYbz5107Np1ltTM87ty5jH+emGj9vFAhl15u/vz55kaqi14pXbuiRIkS5mZ6yy235PhS4GXKlElaDyM+Pl7eeOMNs5qnOnbsmHnPVatWSb169WTMmDHy1VdfybfffishzvXQc5DeS1Pat2+fVKlSRQI6iOjSpYt069bNFKSkF00pjaZat27tjdMDADhpAFGwYM6+ZsOGWabIr9NYIi7OpUBCF8R6+umnzQ20WrVqEhERIVWrVs00gFD6zf1a7Nq1S+677z7JnTt3Uua8dOnSJnB44YUXTJ3E1KlTzdLeWQUQmhVJbwnw8ePHm1VAXXH58mWZPHmyDB48WAI6iNClU3UoY9CgQbajqUuXLpktZXrJGRXqBvdzXmeut+dwzT0vmK65fkZdCTIxMdFsRmKi18a9neeSFV1y+/7775dPPvlERowYIUuXLjVfSF157rWoWbOmfPnllzJkyBB56qmnkoor9ab/wQcfmPvaY489ZoY9sjqXGTNmZJgVcfVzjB492iw33rNnz3Sfo/v0muq/c64067Lb/f0OcXhj7VDnm4eEmPXXtcI1bTRVo0YNE01pRiI9Y8eOlXHjxl21f+HChZI/f363nTMABCqtRytVqpRJ1+u36+wOZ+T66Scp1KpVlsediYiQK7fdlvUL6n/LXRwC0Bv49OnTZfXq1VK5cmXzrV6/rGZGhyR0mCGtl156SXr37i2uOnjwoNxxxx3mflakSJGkoODFF1+U7777Tm699VZxNy3y1IBFP39GGRi9tx4+fFj+/PNPSUhISPWz8+fPmxECLRotXLiwfwcRGklqOmrbtm0SHh7uciZCf/F1PKpYsWJuP3dYkWtkZKQ0b948w38n5CyuuecF0zW/ePGiucnof5Pz6iyK7NqxQ0Lr1s3ysMRt27QaMcOf623pzJkzUqhQIZfrCLQOQgOgKVOmyOzZs2Xr1q1ZPud///tfht/+M7uRrl+/XlasWCGTJk0yj48ePWqumRZX6vP0fqRZiurVq5ssiWZI3Envo/Xr1zfn071790z/fbUWUe+Vaf999dx1KCa7QYTPTfFcs2aNTJs2TTZv3pzp/2Hz5MljtrT0OYH+f3RfwzX3PK655wXDNb9y5Yq5aYeGhpot21x8jnntTI51puKd5+IKvfG1atVKhg8fbjIJrjxPb5p26Dd9rWGoWrWqec+RI0dKixYtzMwONWrUKHNT1yENrdFYuXLlVUP2OUWDoHbt2pm6kE6dOpmMgtJhjbQBmF4T3Zfe77Ld322fajal0VTXrl1NEKERHADAjxQvbvWByIz+XI9zg86dO5tv0s4CfXfR4EOzC1OnTjVD73rjnjdvnvmZZkDmzJkj//73v00WQrMDWiNxLrPZKNdAhy+ioqJMraFmbpybDrF4gs9kIjSa0khNoymdKqOpqYyiKQCAD9IGUtpIKrM+EBpAuKHR1O+//27uI5oBKFeunLibDm/t+XtKaUr/+Mc/ku5fzroL53RQd9B7pherEnwniHBGU86Iyim9mgkAgI/SAMEL3Sg1pX/8+HFZtGiRx987mHk1iEgZPXk7mgIA+K/du3d7+xSCkk/VRAAAAP9BEAEASIWscGByuOHflSACAJBqmp9zmiACy+XLl82fabtVBkRhJQDAu/Tmor0O/vrrL/NYu/96Y3ac9onQG542R7LVrwLpXlMtPNV/U+1MmlMIIgAASbTro3IGEt5Ku+t0zXz58jHFPwdpQFa2bNkcvaYEEQCAJHqD0WZKN9xwg9cWHdP31bUgGjVqFPBdQj1J10PJ6cwOQQQAIN2hjZwcO8/ue+sCUbq+A0GEb2OwCQAA2EIQAQAAbCGIAAAAthBEAAAAWwgiAACALQQRAADAFoIIAABgC0EEAACwhSACAADYQhABAABsIYgAAAC2EEQAAABbCCIAAIAtBBEAAMAWgggAAGALQQQAALCFIAIAANhCEAEAAGwhiAAAALYQRAAAAFsIIgAAgH8FESdOnJAKFSrIgQMHkvbt3r1b6tatK9dff70MGzZMHA6Ht04PAAD4YhChAUSbNm1SBRCXLl2Stm3byp133inbt2+XqKgomTt3rjdODwAA+GoQ0aVLF+nWrVuqfRERERIbGytTpkyRSpUqyauvvirvv/++N04PAAC4IEy8YNasWWYoY9CgQUn7du3aJfXq1ZP8+fObx7Vq1TLZiIxo5kI3p7i4OPNnfHy82eB+zuvM9fYcrrnncc09j2vueXavtVeCCA0g0tIgIOX+kJAQyZUrl5w6dcrUSKQ1YcIEGTdu3FX7165dmxSIwDMiIyO9fQpBh2vueVxzz+Oae8758+f9J4hIT1hYmOTJkyfVvrx585oPll4QMWLECBk8eHCqIKRMmTLStGlTKVasmEfOOdhp5Kr/J2/evLmEh4d7+3SCAtfc87jmnsc197yYmBj/DiKKFi1qZmekdObMGcmdO3e6x2vAkTboUPoLxy+dZ3HNPY9r7nlcc8/jmnuO3evsM30idGrnpk2bkh7v37/f1DxocAEAAHyPzwQRjRo1MkMSc+bMMY91dkazZs1MXQQAAPA9PlUTMXv2bOnatatpNBUaGirr1q3z9mkBAABfDCLSdqRs166dREdHy/fff2+me1IgCQCA7/KZTIRTqVKlpHXr1t4+DQAA4C81EQAAwL8QRAAAAFsIIgAAgC0EEQAAwBaCCAAAYAtBBAAAsIUgAgAA2EIQAQAAbCGIAAAAthBEAAAAWwgiAACALQQRAADAFoIIAABgC0EEAACwhSACAADYQhABAABsIYgAAAC2EEQAAABbCCIAAIAtBBEAAMAWgggAAGALQQQAALCFIAIAANhCEAEAAGwhiAAAALYQRAAAgMAIImbPni1lypSR/PnzS5MmTeT333/39ikBAABfDyKio6Pl5ZdfluXLl8vPP/8slSpVkieffNLbpwUAAHw9iNi5c6fUq1dP6tSpI2XLlpWePXvKb7/95u3TAgAA6QgTH1K9enVZs2aN/PDDD1KhQgWZPn26NG/ePN1jL126ZDanuLg482d8fLzZ4H7O68z19hyuuedxzT2Pa+55dq91iMPhcIgP6du3r7z77rvm7xpIbNmyRUqUKHHVcWPHjpVx48ZdtX/hwoWmngIAALjm/Pnz0q1bN4mNjZXChQv7ZxCxdetW6dChgyxZskRuueUWmTRpkqxevdrsDwkJyTIToQWZx44dk2LFinnh7IMzco2MjDTZovDwcG+fTlDgmnse19zzuOaeFxMTI6VLl852EOFTwxn/+c9/pEuXLnL33Xebx+PHj5cZM2bIrl27pHbt2qmOzZMnj9nS0l84fuk8i2vueVxzz+Oaex7X3HPsXmefCiISExPlxIkTSY/PnDljUixXrlzx6nkBAAAfDyLuvfdeeeKJJ8zsjJIlS5qeEaVKlZJatWp5+9QAAIAvBxGdOnWSvXv3yptvvmlqG2rWrClLly4lnQUAgA/yqSBCiydHjRplNgAA4Nt8qtkUAADwHwQRAADAFoIIAABgC0EEAACwhSACAADYQhABAABsIYgAAAD+3ycCAHzCoUMiJ06IdtzfsT1BojeekR1/7JS77gqTXLlEpHhxkbJlvX2WgNcRRABA2gCiWjWRixdF4wVdDtAsCbggxTF584rs20cggaDHcAYApKSLAF68mPkx+vMUiwUCwYogAgBScHXRYBYXBggiACCVnTtz9jggkBFEAEAKro5SMJoBEEQAgJGYKPLVVyKfLEp06XidoAEEO2ZnAAhqp06JfPihyIwZIvl++UHmSQ+XnnfHHW4/NcDnEUQACEo7dohMny6ycKFI6IWzMk7GyCCZKmHiWsWk6RcBBDmCCABBQ2dmLlpkBQ9btlj72slymRk+QErHH7Z2tG5tjWtcupTxC2mfCMYzAIIIAIHv999FZs4U+eADkZgYa1/F8MPy35ID5K4jy0XiRaR8eZFp00QeeCBVx8rt2xNk48ZfpEGDqnSsBNIgiAAQkDQAiIiwsg5ffinicFj7K5ZNkPdqviVN142W0CPnRMLCRIYOFRk1SiR/fusgDRDKljUdK+vUjpc/bzwmdR64Q3KFh3v1MwG+hiACQED56y8r46CZh4MHk/e3bCnyYrOt0vCjPhKy8gdrZ4MG1oE1a3rtfAF/RhABwO9plmHTJivrsHixyOXL1v6iRUV69hTp/2isVJj1osiwGdbB118vMmmS9cNQZroDdhFEAPBbZ89asys0eNi1K3n/3XeL9O8v8vBDDsn3+SKRVv8n8uef1g+7dxd5/XWRG27w2nkDgYIgAoDf2bvX6uug/R3i4qx9+fKJdOsm0q+fyJ13/l1N2bG/yKpV1gFVq1pPuu8+r547EEgIIgD4hfh4keXLrazD2rXJ+6tUsbIOTzxhjVKYsYxXXxd55RVrTmfu3CIvvigyfLhInjze/AhAwCGIAODTjh4VmTVL5L33RI4ds/ZpGUP79lbwoImFpLKGb74R6dtXJCrKevzPf1pRh2YhAOQ4gggAPkdrHzXboPf/ZcuSl90uWVKkd2+Rp58WKVMmxRO0+cPzz1vTMpTWO0yZYo1vhIR45TMAwYAgAoDPOH06eR2LffuS9zdubGUdHnzQGp1IFW3Mm2f1eXAuq6lRxsSJf49tAHAngggAXrdzZ/I6FufPW/sKFRJ5/HGrULJGjXSe9PPP1g/XrbMea68H7fmgvR8ABHcQ8cILL0hUVJR8/vnn3j4VAG6gNY+ffGJ1mt68OXn/bbdZWYdHH7UCiatcuCAyYYKVbdBqS52WMXasyHPPidBREvAonwwifvzxR5k+fbrsSjnxG0BA2L/fShi8/37yOhZ673/oISt40ERChmUMkZFW9iE6OnmxrHfesda9AOD7QcQvv/wiVd1Y6ZyYmCi9e/eW5557TipWrOi29wHgOVoYqetX6JCFrmfhXMdCiyN1MsVTT1lFkxnSRlGDB4v85z/W4xtvFHnrLZGOHSmcBPwpiKhdu7ZUq1ZNOnfubLYKFSrk6AnNnDlTfvrpJxNIfPbZZ9KyZUvJnaqSynLp0iWzOcX93XEmPj7ebHA/53XmenuOv13z48dF5s4NlVmzQuXAgeSbfYsWidKnT6I88IDDWhXz7z4QV0lMlND335fQF1+UkNhYcYSGSmL//pKowxeFC4skJLj9M/jbNQ8EXHPPs3utQxwO53cC15w7d04iIiJk2bJlsmLFCqlSpYp06dJFHn74YSmTas5V9p09e9YEJaVKlZKOHTvKhg0bzPutX79e8um4Zwpjx46VcePGXfUaCxculPzOlfgAeJz+F2XfvuslIqKCbNx4oyQkWFFCwYKX5Z//PCQtWx6Q0qXPZfk6hQ8ckNtnzJCif0/TOF2pkvzQr5/EVq7s9s8ABJvz589Lt27dJDY2VgprgO6uICKlhIQEmTNnjjz//PMmE1C/fn2ZMGGCNGzY0NbrzZs3T/r27SuHDh2S4sWLm9e/7bbbzNCGZiayykRoEHPs2DEpVqyY3Y+EbEaukZGR0rx5cwmnoE2C/ZqfOyfy8cchMnNmLtm1KznrcNddidK3b6I8/LDD1EC68kKhr7wioVOnSsiVK+IoVEgSx42TRK2FcKYtPMiXr3mg4pp7XkxMjJQuXTrbQYStwspff/1VPv30U1myZIns2bNHWrVqZYY2NJLRjITeyO04cuSI1KtXzwQQ5uTCwqRWrVry22+/XXVsnjx5zJaW/sLxS+dZXPPgvuY609K5jkVsrLUvb16Rrl2tGsi6dbWdpIsrZepsrGefFTl0yHrcqZOETJ0quW66STwfPvjuNQ8WXHPPsXudsx1E1KxZU37//Xe5//77TYagXbt2UqBAAfOz/fv3JwUAdtx8881yQadvpXDw4EGT4QDgO3T49LPPrELJNWuS9+tIgwYOTz5pLcPtsiNHRAYOFFm61Hpcrpw191NnXwDwWdkOIoYPHy7t27eXQulM4NZ6Bi2KtKt169YyYMAAU1zZpk0bk+nQaZ6LFy+2/ZoAcs4ffySvY6F/V7puRdu21vTMZs1SrGPhCi2M1Cmao0ZZ63qHhVmzMEaPFvn7ywmAAAoiHnvsMfeciYipZVi5cqUMHTpUBg8ebMZnFi1adM0FmwDs06opbQqpWQdNFDjXsdDlKXQNCy1XKlvWxgtv2ybSp4/VrlLdc4/Iu+9a3aYA+AWfazbVoEED2bRpk7dPAwh6Wt+gy1Jo8KB1D0733mtlHbRFQzqzr1174ZEjreEKjVCuu07ktddEevXKZhoDgLf5XBABwLu0UawGDh99lLyORcGCyetY6BIVtmjAoH2uBw1KXtNbM5uvv55FpykAvoogAoDobGm9v2vw8N13yft14SvNOui9PhuzvtLvdf3MM1a7SlWlivVmWkQBwG8RRABB7MABqwxh9uzklbS1tlHXsdCsgw5dXFNXaZ3GMXmyyMsvWwtn6fjH8OEiI0ZY80AB+DWCCCDIJCaKrFplJQJWrEhex+Lmm5PXsShVKgfe6NtvrRfcs8d63KSJtfJWtWo58OIAfAFBBBAkNNMwZ47VGEpHF5xatLCGLLQlg2YhrtnJkyLPP28t06m0d8yUKdaYCItlAQGFIAIIYJpl2LrVyjr8979W7YPSCRE9e1qJAi1PyLE3mz9fZMiQ5LERnXGhMy+y1XkKgL8giAACkM6q0FWzNXjYsSN5/513WvWNnTuL5Og6dbpIlqYznO0rtSJThy5srqMDwD8QRAB+Qps8rV8fIhs23CQFCoRI06ZXr0el93K9d+uwRcp1LLp0se7xdevm8EldvCgyYYLIxIkily+LWWFLu01q10lbTSQA+BOCCMAPLFlitVc4ckT/L3uXKTHQQsipU0XatbPWrdKsw1dfJT+nUqXkdSzcsrDt119bb/Drr9bjVq2sBlIVKrjhzQD4IoIIwA8CCJ1y6ZxF4XT0qFnk0pQbaC2j0oaPbdpYWYfmzd3UAPKvv6xMw4IF1uPSpa1oRk+SwkkgqBBEAD4+hKEZiLQBhHLu0wBCJ0DoGha66QKYbpsbqg0lXnhB5PRpK2DQAovx40WKFHHTmwLwZQQRgA/75htrleysaFJAp2q6ja7Oq1M5nO0s77jD6lKV40UWAPwJq90APmzLFteOi4lx0wmcO2dlHurUsQIIXUTjjTeseaMEEEDQIxMB+Bjt5fDpp1ah5MaNrj1HyxJynLaz1OGKgwetxx06iLz1llXRCQAEEYDv0Hu1cx2L48etfTqFU2dK6rIT6dGyBL2n6xoXOUYrNrUQQyMZVbasyDvviLRtm4NvAiAQMJwBeJHWKn75pTVNs2JFq+WCBhA33WStWXX4sLUktwYLaSc+OB+/+ebV/SJsV3FqpuHWW60AQl906FBr7QsCCADpIBMBeIHWMGhDKG0MFR2dvF9XxtbpmXrPdq5j0bGjtUy31Sci+VjNQGgAoT+/Zt9/L9Knj/WnqlfPOrnbb8+BFwcQqAgiAA/RKZnbtlm1Dh9/nLyOhc6O7NHDmvyQ0QKXGii0by+ydm2CRET8IK1a1ZamTcOuPQMRFycyapQ1XKFpET0Z7T6pc0Xd0mQCQCAhiAA8sI6FBg0aPDi/6DtnSWrdorakLlAg69fRgKFxY4ecO3dUGje+/doCCI1odMhC0xt//GHt69ZNZPLkHFoHHEAwIIgA3OSXX5LXsdDeTCpPHmvxKx2y+Mc/vNTg8cABK3pZudJ6XLmyFeFoi0sAyAaCCCAHJSSIfPGFdU+OjEzer0WTOlyhwxbaXdIr4uOtHg9jx1rTPcLDRYYPFxkxwlo4CwCyiSACyAF//mlNzdQpms7iR80yONex0G6SXi0x0EZRWji5e7f1uHFjkRkzrJkYAGATQQRwDWUF2pZasw5aXqBZCKWZhl69rHt2+fJePkldWEOzDbNmWY91OU+te3j8cRbLAnDNCCIAGxMatHeDBg/aQsGpQQNrZWxdzFJrH7we4eiCGrraprNzVc+eIpMmuWldcADBiCACyMYaVDoCMH++yNmz1j6dVfHYY1bw4DMtFbSiU8dQvv7aeqxDFlrh2aiRt88MQIAhiAAycfmyyJIlVtZBhy6c9L6s9+nu3X1oFWxtPKE9Hl591TrxvHmtHhDadVJ7ZwNADiOIANJx6JDIe+9ZpQR//WXt0w6SugaVBg9al+ixkgI9mRMnrL8nJEgRbXG5c2dyS0stwtB9Ov1DsxDq/vtFpk0TqVTJQycJIBj5dBDRsmVL6dKlizz55JPePhUEAW3Y+NVXVtbh88+tx+rGG60iSS2W1L97lAYQ2sby4kXzMFxEmqQ9Rqd9OE9WG0VpL+xHHqFwEkDwBhELFiyQVatWmSACcPcEhrlzrXqH335L3v/PfyavY6EtFbxCMxB/BxAZcgYQerL/+pfIddd55NQAwCeDiJMnT8qQIUOkWkYLCQA5YPt2K+vwn/8k36e1vkETXzoycMst4j80CnriCW+fBYAg45NBhAYQHTp0kAvaVS8Dly5dMptTnM67M0354s0G93NeZ3+63vortWhRiLz7bqhs357c/en22x3Sr98V6dzZkbSOhU98rIQEM4SRlXit9PSJEw48/vh77u+45p5n91r7XBCxdu1a+frrr2XPnj0yYMCADI+bMGGCjBs3Lt3n58+f381niZQiU/Z39lHHjhWQiIjysmZNWTl71roth4VdkYYN/5BWrfZL1aqnTAnB+vXiU7SI8qoaiHRs/PZbiT12zANnFLz84fc80HDNPee8rhTo70HExYsXpU+fPjJjxgwpVKhQpseOGDFCBmsjnRSZiDJlykjTpk2lGM10PBa56v/JmzdvLuFeKxrImHaQXLnSyjpERiZnHcqXd0jv3onyxBOJUqKErljpw6tWrl7t0mENGja0lgVF0P2eByKuuefFxMT4fxDxyiuvSN26daV169ZZHpsnTx6zpaW/cPzSeZavXfP//S95HYvDh619mmV44AGr9vD++0Mkl1lH+1rW0nazK1esSs8XXnDp8HCd7ulD/waByNd+z4MB19xz7F5nnwoiFi5cKMePH5fr/q4u1/TKokWLZOvWrTJdK+CATLo8f/tt8joWzuE9baHw1FPWFM0KFcQ/7NhhnbBWfgKAD/OpIOKbb76RBOcqRqKN9oZKvXr16BOBDJ05k7yOhXOBSnXPPVbWQdex0MaNfvNhRo8Weesta9pm4cIiw4ZZ0zYzm+apH9Br64sDCGY+FUTcfPPNqR4XLFhQihcvbjYgJQ0YNNs/b17yOhZaT/voo9Y6Fn5VHqBplGXLRAYOTF5HvHNnkTfeECld2lpx8++OlfEJCaaIUmsgzBCG0v9/lC3rxQ8AIFj5VBCR1lyd+w78TZeDWLrUyjps2JC8X9uJaNZB77V+12fp4EGRZ58V+eIL63HFitYH1LbVThogOIOE+HhrFoZGSYwVA/Aynw4iAKXFkc51LLRoUmld5IMPWsFD06Z+2OFZiza0PfXYsVr8YwUEzz8v8tJLIvnyefvsAMAlBBHwSVoSoCtZ65fyzz5L7uys2f3evUWeflrkppvEP23ebBVO/vij9fjee62luqtX9/aZAUC2EETAp5w6lbyOxa+/Ju/XbINmHdq39+Msvn64F1+05p5qHUTRoiL//rfVZ1sX0QIAP0MQAZ/w/ffJ61g4u53r5ARdDkILJbWrs9/SgEE/2HPPJa8rroGDBhAUDQPwYwQR8PI6FlbwsHVr8v7bbxd55hmRrl11ho74N10WVFMozva9uqqXDl00buztMwOAa0YQAY+Ljrbuox98YC3DrXLnFnn4Yet+qz0e/K5QMi1dHG7SJKvHg/5du6uOHGn1fUin0yoA+COCCHisi/PKlVbW4csvk/eXK2cNV/TsKVKihASGdeusD/Xzz9bj5s2tD165srfPDAByFEEEbAcF69eHyIYNN0mBAiGm8NEsR5GGlgC8/76VeTh0yNqnWYZWraysQ8uW6T/PL2lDqKFDRT780HpcsqTVMKpLlwBIrQDA1QgikG1LlogMGqTNFfXX5y6ZMkW7jYpMnSrSsaNVR/jdd9aX78WLk9ex0MVVnetYaE+lgKEfeM4ca6hCx2c0YNAPOWGCH3a/AgDXEUQg2wGErkeh982Ujh619msPh02bklsgqHr1rKyD1jz4zToWroqKEunbVxd+sR7XqmVN4dQPDQABjiAC2RrC0AxE2gBCOffp/VNp00XnOhZ16khgTi0ZP96apqmpFl24Y9w46wL5bSMLAMgeggi4TL9sO9eHyoxOz3zlFZHrr5fAtGqVlVr5/Xfrcdu2Im+/bVWJAkAQoU0eXKbrPrmiQYMADSD0AmiRpFaDagChfbd1fGf5cgIIAEGJIAIu03UrcvI4vxrH0SpRbRT13/9aLar/7/9E9u4V6dCBmRcAghbDGXCZrhOlszC0iDK9ugi9l+rP9biA8cMP1kwLZ0vNu+6yCj8CstADALKHTARcpv0cdBqnSvvl2/lYV7cOiL4PZ8+KDBliBQ0aQBQqZNU96AqcBBAAYBBEIFu0D8Qnn1y9DLdmIHS//tzvaY2DLsutDTB0KEPnpmr3yWefDZAICQByBsMZyDYNFHRJ7rVrEyQi4gdp1aq2NG0a5v/318OHRQYMsIIIVb68VQuh7TUBAFchEwFbNGBo3NghjRodNX/6dQCRkGBlHXS9cQ0gwsJEhg8X2bOHAAIAMkEmAsFtyxarcHLXruT5qbrQR82a3j4zAPB5ZCIQnGJjra5Yuu64BhDa2GL2bJENGwggAMBFZCIQXHRu6qJFVp+HP/+09nXvLvL66yI33ODtswMAv0IQgeChXSa1XbW2rVZVq1pDF7qOOQAg2xjOQOC7fFnk1VdFatSwAog8eazFsnSpUQIIALCNTAQCm9Y46FLd2qJa/fOfIjNmiFSp4u0zAwC/RyYCgSkmRqRnT52HagUQWu/w0UcikZEEEACQQwgiEHiFkx9+aC2WNWeOta93b6vj5KOPslgWAOQghjMQODRQ0KGL9eutxzpVUxfLql/f22cGAAHJ5zIRy5cvl4oVK0pYWJjUrl1b9jrHsoGMXLggMmqUSK1aVgCRL5/Ia6+J7NhBAAEAwRJEREdHS48ePWTixIly9OhRqVq1qvTq1cvbpwVfpjUOt90mMn68SHy8SOvWIlFRIs8/LxIe7u2zA4CA5lNBhGYdNIB45JFHpGTJktKvXz/ZuXOnt08LvkgbRXXrJtKihUafIjfeaC0j+vnn1sJZAIDgqolo06ZNqsf79u2TKhlU0l+6dMlsTnFxcebP+Ph4s8H9nNfZo9c7MVFCZ8+W0JdekpDYWHGEhkpi//6SOHasSOHC1mJaAcwr1zzIcc09j2vueXavdYjDoeXsvufy5ctSo0YNGTx4sMlIpDV27FgZpw2D0li4cKHkz5/fQ2cJTyp84IDcPmOGFN23zzw+XamS/NCvn8RWruztUwMAv3b+/Hnp1q2bxMbGSmH9QubvQcSIESMkIiJCtm3bJuHpjG2nl4koU6aMHDt2TIoVK+bhsw3eyDUyMlKaN2+e7r9Rjjl3TkJfeUVCp06VkCtXxFGokCSOGyeJGlz69RrkPnzNkYRr7nlcc8+LiYmR0qVLZzuI8KnhDKc1a9bItGnTZPPmzRn+AuXJk8dsaenx/NJ5lluvudY4PPusyKFD1uNOnSRk6lTJddNNElzhQ2r8nnse19zzuOaeY/c6+1wQsX//funatasJIqpXr+7t04G3HDkiMnCgyNKl1uNy5USmTbNmXwAAfIJPzc64cOGCKa5s3769dOjQQc6ePWs2Hx1xgTtoYeSbb4rceqsVQISFWdM19+whgAAAH+NTmYjVq1dLVFSU2WbNmpUqO1GeaXuBb9s2kT59RJzTeu+5x+o4qX0gAAA+x6eCCM1AkHUIQrGxIiNHWsMV+u9/3XUikyaJPPWUSKhPJcsAAL4aRCDIaMCgDaIGDRI5dsza99hjIpMnW6tuAgB8GkEEvGP/fpFnnhGJiLAea1Ox6dNFmjXz9pkBAFxErhiepV3RJk4UqVHDCiBy5xYZPVrkxx8JIADAz5CJgOds3GgVTupMC9W0qciMGSLVqnn7zAAANpCJgPudPCny9NMiDRtaAUTx4iLz5ol8/TUBBAD4MTIRcG/h5Pz5IkOGiJw4Ye3Tpd1fe02kaFFvnx0A4BoRRMA9dJGs/v21h7n1WGsgZs60shEAgIBAEIHs0TUsnFmFhAQpEh1tNYfSzpKqYEFdSlVkwgRdilUkXz6rcHLwYKuIEgAQMAgikL0AQmsYLl40D3W5liZpjwkJsYYxVKtWVgOpChU8fqoAAPcjiIDrNAPxdwCRIQ0gtHBSez489JAVVAAAAhJBBHKedqFs3NjbZwEAcDOmeCLnFSrk7TMAAHgAQQQAALCFIAIAANhCEAEAAGwhiAAAALYQRMB1OnUzb97Mj9Gf63EAgIDHFE+4rmxZq5313x0r4xMSZOO330qDhg0l3NmxUgMIPQ4AEPAIIpA9GiA4g4T4eIk9dkzkjjtEwrV/JQAgmDCcAQAAbCGIAAAAthBEAAAAWwgiAACALQQRAADAFoIIAABgC0EEAACwhSACAADYQhABAAACI4jYvXu31K1bV66//noZNmyYOBwOb58SAADw9SDi0qVL0rZtW7nzzjtl+/btEhUVJXPnzvX2aQEAAF9fOyMiIkJiY2NlypQpkj9/fnn11VflmWeekR49eqQbcOjmFBcXZ/6Mj483G9zPeZ253p7DNfc8rrnncc09z+61DnH40HjBuHHjZMuWLbJy5UrzWE+tWLFicvLkyauOHTt2rDk+rYULF5oABAAAuOb8+fPSrVs380W+cOHC/pmJ0GxChQoVkh6HhIRIrly55NSpU6ZGIqURI0bI4MGDUz23TJky0rRpUxN4wDORa2RkpDRv3lzCWcXTI7jmnsc19zyuuefFxMTYep5PBRFhYWGSJ0+eVPvy5s1rIqS0QYQel/ZYpb9w/NJ5Ftfc87jmnsc19zyuuefYvc4+VVhZtGhROX78eKp9Z86ckdy5c3vtnAAAgB8EETq1c9OmTUmP9+/fb4onNbgAAAC+xaeCiEaNGpnahjlz5pjHOjujWbNmpi4CAAD4Fp+riZg9e7Z07drVNJoKDQ2VdevWefu0AACArwcRql27dhIdHS3ff/+91KtXj5kWAAD4KJ8LIlSpUqWkdevW3j4NAADgLzURAADAfxBEAAAAWwgiAACALQQRAADAFoIIAABgC0EEAACwhSACAADYQhABAABsIYgAAAC2EEQAAABbCCIAAIAtBBEAAMAWgggAAGALQQQAALCFIAIAANhCEAEAAGwhiAAAALYQRAAAAFsIIgAAgC0EEQAAwBaCCAAAYAtBBAAAsIUgAgAA2EIQAQAAbCGIAAAAthBEAAAA/w8ili9fLhUrVpSwsDCpXbu27N2719unBAAAfD2IiI6Olh49esjEiRPl6NGjUrVqVenVq5e3TwsAAPh6EKFZBw0gHnnkESlZsqT069dPdu7c6e3TAgAAGQgTH9GmTZtUj/ft2ydVqlTJ8PhLly6ZzSk2Ntb8efLkSTeeJVKKj4+X8+fPS0xMjISHh3v7dIIC19zzuOaexzX3POe90+FwZO+JDg9r3769o0iRIldtb7/9dtIxly5dclSuXNkxffr0DF9nzJgx+knZ2NjY2NjYJGe26OjobN3TQ/R/xIP+97//yYULF67aX7RoUSlcuLD5+4gRIyQiIkK2bduWYRSaNhNx+vRpKVeunBw6dEiKFCnixk8Ap7i4OClTpowcPnw46d8O7sU19zyuuedxzT1Ps/lly5aVU6dOyXXXXee7wxla75CZNWvWyLRp02Tz5s2ZprHy5MljtrQ0gOCXzrP0enPNPYtr7nlcc8/jmnteaGiofxZWqv3790vXrl1NEFG9enVvnw4AAPCHwkod4tDiyvbt20uHDh3k7NmzZn+BAgUkJCTE26cHAAB8NROxevVqiYqKklmzZkmhQoWStoMHD7r0fB3aGDNmTLpDHHAPrrnncc09j2vueVxz/7nmHi+sBAAAgcFnMhEAAMC/EEQAAABbCCIAIBPag2bLli1m/jyA1AgiYNuJEyekQoUKcuDAAW+fSlBglVvPW7x4sZQvX94sBnjzzTebx/Ccli1byty5c719GgFv4MCBZhakc6tcuXJwBRG7d++WunXryvXXXy/Dhg3Lfu9v2AogdEouAYRnsMqtdzr49e/fXzZs2CA//fST6V+j/32BZyxYsEBWrVrl7dMICtu3b5cVK1aYbJtu2Vn80u+DCG193bZtW7nzzjvNhdBpokSu7telSxfp1q2bt08jaLDKrXdaL7/55ptSq1Yt87hOnTpmQSh4ZjGoIUOGSLVq1bx9KgEvISFB9uzZI40aNTLtrnXT9gpBM8Vz2bJl0rNnTzly5Ijkz59fdu3aJc8884x8++233j61gKbdRXUoQ1Nf+ndN+cJzZs6cKTNmzDC/7/DMqpK9e/eWK1euyLx587x9OgFPs2558+Y1TQibNGkiTz75pLdPKWDt3LnTBBD65USznI0bN5b33nvPrKMRFJkI/Y9ovXr1TACh9FuDZiPgXhpAwDsuX74skydPlr59+3r7VIKC/jemVKlS8uWXX8pbb73l7dMJeGvXrpWvv/5aJk2a5O1TCQpRUVEm4zN//nz58ccfTc2VBsyuCg2ElGPKG5p+M86VKxeV1AhY2lVO28FTE+EZ+sVEO+pWqVKFa+5mFy9elD59+pgsW3ZS6rDv0UcfNaUA99xzj/kdnz59ukRGRpp7q1+tnWGXRk1p23RqGuz8+fOm0BIIJK6ucouco19MtObqww8/lEqVKpkpn9lZKhmue+WVV0yRfOvWrb19KkHrhhtukMTERDl27JhLK6j6fSaiaNGicvz48VT7zpw5I7lz5/baOQHuwCq3nrV+/fpUszH0vykaUGR3qWS4buHChWYqs7PATx/rDBnd4B76O67X2WnTpk3md7xMmTLBkYnQqFUX7Ur5H1qdsaHBBRAoWOXW83QarRaYaYq3VatWMnLkSGnRooVL385gzzfffGNmCzgNHTrU1LxRWOk+t99+u/nd1sJKLRweMGCAPP7440l1hlnx+5Baq0p17GbOnDnm8auvvirNmjUzdRFAoLjWVW6RfaVLl5ZPPvlEpk6dKjVq1DBDpMzMcC9t6KUzvZxbwYIFpXjx4maDezz22GPSuXNn6dSpk8l0aoOvd955J3imeKrPPvvMfPh8+fKZNMy6detI9wIA4GYBEUSoP//8U77//nuT+ipWrJi3TwcAgIAXMEEEAADwLL+viQAAAN5BEAEAAGwhiAAAALYQRAAAAFsIIgAAgC0EEQAAwBaCCAAAYAtBBAAAsIUgAoBb6ZLCRYoUMcuXqzFjxkiDBg2EPneA/6NjJQC3mzJlilniefHixWZ1TF3fpnbt2t4+LQDXiCACgNvp8s4aNOjywnfffbe8/fbb3j4lADmA4QwAbhcWFia9evWSbdu2Sd++fb19OgByCJkIAG4XFxcn1atXlxo1akjBggXl008/9fYpAcgBZCIAuN1LL70k9evXN8GDFlh+8cUX3j4lADmATAQAt9q6davcd999smfPHilXrpwsWLDABBX6uECBAt4+PQDXgCACAADYwnAGAACwhSACAADYQhABAABsIYgAAAC2EEQAAABbCCIAAIAtBBEAAMAWgggAAGALQQQAALCFIAIAAIgd/w+NWZ9xyuC/GwAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 600x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.array([1, 2, 3])\n",
    "y = 2 * x + 1\n",
    "y_new = 3 * x - 2\n",
    "\n",
    "plt.figure(figsize=(6, 4))\n",
    "plt.plot(x, y, 'b-o', label='y = 2x + 1')\n",
    "plt.plot(x, y_new, 'r-s', label='y = 3x - 2')\n",
    "plt.title('改参数看变化')\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "\n",
    "# 手动锁定坐标轴范围\n",
    "plt.xlim(0, 5)\n",
    "plt.ylim(-2, 14)\n",
    "\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  }
 ],
 "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
}
