{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.preprocessing import PolynomialFeatures\n",
    "from sklearn.linear_model import LinearRegression\n",
    "from sklearn.linear_model import Ridge\n",
    "from sklearn.pipeline import make_pipeline\n",
    "from sklearn.metrics import mean_squared_error\n",
    "from sklearn.preprocessing import StandardScaler"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "f_{w,b}(x) = 2x + 3x^2 + 4x^3 + 5\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
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TAOtMnz7dNGbIkCEOVAIA8CYul8v0JeeHHnrI0pylS5fW3XffbRhDnwgUbt26dTMcP3jwoK5fv+5QNQB8GeuF7mOtEIDTzHrAy5cv6/jx4w5VAwDwNPpRAE6aO3euMjIyDGOGDh3qUDUA4FsOHz6sbdu2GcZY/Ty5e/fuKleuXK7j165d09dff21pTruY9Zj33nuvSpYsaWlOs/895s6dK5fLZWlOOIcNWwAAwDbffvut4XjXrl0VGRlpac7ixYurc+fOhjFmdXmDxMREbdmyxTCmX79+luc1O/Vs06ZNSkpKsjwvgP+WlZWl2bNnG8bcddddqlatmkMVAQC8xc6dO3Xq1Klcx4ODg3XvvfdantesT1y2bBknqwOFmNlX+7KysnTixAmHqgHgy1gvdA9rhQA8IS9fbj569KgDlQAAPI1+FIDTzA43rVy5stq0aeNQNQDgW8zWOhs2bGj5+0aBgYHq06ePYYy3r8FKUk5OjpYvX24YY0ffe99996lIkSK5jp84cUK//PKL5XnhDDZsAQAA26xevdpwvGvXrrbkNZt31apVtuS10po1awxPRahYsaJq165ted569erpxhtvzHU8JydHcXFxlucF8N+WL1+uc+fOGcZwYhgA+CezHrtJkyaKiYmxPG/79u0Nv0yRlJSkHTt2WJ4XgHcoW7asaUxycrL9hQDweawXuoe1QgCeEBMTY/h3oEQPCAD+gn4UgJN++eUX/fzzz4YxgwcPVkBAgEMVAYBv8dY12LVr1yo7O9uW3Fb5+eefDdc6QkND1bZtW8vzlipVSo0bNzaM8fY1bOSODVsAAMAWZ8+e1YEDBwxj2rVrZ0vu9u3bG47v27fPdCOEp61Zs8Zw3K5rl5e5zf6oA1BwZieGRUVFqXfv3g5VAwDwJp7qE4sWLaomTZoYxtAnAoXXDTfcYBqTkZHhQCUAfBnrhe5jrRCAp5QqVcpwnB4QAPwD/SgAJ5k9Kw8MDNSgQYOcKQYAfExWVpbWr19vGGNX79aiRQuFhYXlOp6SkqJt27bZktsqZn1vs2bNFB4ebktuszVs+l7fxYYtAABgi59++slwPDY2VrGxsbbkrly5ssqVK2cY4+3Nv9n1a9asmW25mzZtajju7dcO8HXnz5/XsmXLDGP69++viIgIhyoCAHgTs16MPhGAHa5cuWIaY/QQDgAk1gsLgrVCAJ5i1gfSAwKAf6AfBeCUzMxMff7554Yx7du3V8WKFR2qCAB8y759+5Senp7reHBwsOmXnNwVFham+vXrG8Z4e+9G3ws7sGELAADYYseOHYbjDRo0sDX/7bffbji+c+dOW/MXRGZmpvbt22cYY+f1M7t2e/fu1fXr123LD/i72bNnKysryzBm6NChDlUDAPAmx44d06VLlwxjPNknenOPDaBgTp48aRpTokQJByoB4MtYL3QPa4UAPCU1NVUpKSmGMfSAAFD40Y8CcNLSpUuVmJhoGMOzcgDIndka7K233qrQ0FDb8vvqGuwfPLmGbXbtkpKSdOLECdvywz5s2AIAALbYtWuX4XidOnVszW82vzc3//v27TNcVA4KCtKtt95qW/7atWsrMDD3NjEzM1P79++3LT/g76ZPn244ftttt6lRo0YOVQMA8CZmPXZsbKyKFy9uW36zHvvYsWNKTk62LT8AzzF7QFWkSBFVqlTJoWoA+CrWC93DWiEAT9m5c6dcLpdhTNWqVR2qBgDgKfSjAJw0bdo0w/GSJUvq7rvvdqgaAPA9rMG6Ly8bouy8fjExMbrxxhsNY7z5+iF3RTxdAAAAKJwOHTpkOF69enVb81erVs1w/PDhw7bmLwiza1epUiWFhITYlj8kJESxsbE6fvx4rjGHDx9W3bp1basB8FebN29WfHy8YYy/nRh24cIFHTt2TGfOnFFaWpqys7MVHh6uiIgIlStXThUqVFDZsmU9XSYAm2VkZOjXX3/VyZMnlZycrKtXryo0NFTh4eGKiYlRbGysKlSoYGuP5A083WNXrlxZRYoUMfwS5JEjR0xP/wLge5YtW2Y4fvPNN6tIkcL7uIGeFLCGp3sZX10vZK0QgKeY9YBRUVGqWLGiQ9U469KlSzp69KhOnTql1NRUXb9+/c/+r3Tp0oqNjVW5cuUMNxAAKByuX7+uX3/9VSdOnFBSUpKuXr2q4OBghYeHq3jx4qpQoYJiY2MVHh7u6VJtQz8KwCknT57UqlWrDGMeeOCBQv8s6A/0pADcwRqs+8xqCw4Otv3wwmrVqun06dO5jnvz9UPuCu8TVAAA4DEul0sJCQmGMWbNeUGZzW9WnycdO3bMcNzua/dHDqNFb7MaAbjH7MSwkJAQ3X///Q5V4zlTpkzRqlWrtGXLFp05c8Y0vnjx4mrQoIGaNm2qLl266I477mBhGigEtm7dqh07dmjdunXav3+/srOzDeOLFCmiWrVq6fbbb1fHjh3VoUMHRUdHO1StMzzdJ/7xBZ1ff/0115hjx46xYQsoZFJSUkxf1m3ZsqVD1TiHnhSwFuuF7vN0D/hHDtYKAf+SnZ2t+fPnG8Y0b968UPU7CxYs0C+//KJNmzbl6b8JRYsWVb169XTnnXeqc+fOatGihd+8PAwUdvv379dLL72ktWvXas+ePbp27ZphfGBgoGrUqKHbb79d7dq1U+fOnVW6dGmHqrUf/SgAp8ycOVM5OTmGMYX9cFN6UgAF5enezWz+9PR0Xbx4UTfccIOtdbjD7NpVqVJFQUFBttZQrVo1/fDDD7mO0/f6JjZsAQAAy50/f15Xr141jClfvrytNZjNn56ergsXLnjlYrnZoovd1y4vOWj+AeulpaVpwYIFhjH33HOPSpYs6VBFnvPoo4/mKz45OVlxcXGKi4vTm2++qfLly2vo0KF69NFHHblnArDH5MmT8xWflZWl3bt3a/fu3Zo2bZpCQkLUs2dPPfbYY4VmI4G39IlmG7YAFC5Tp05Venq6YUyPHj0cqsY59KSAtVgvdJ+39IBG6AGBwmfJkiWGL8ZLha8HHDFiRL7i09PTtWnTJm3atEnjx49XiRIlNHDgQD3++OO2n1gOwF4LFy7MV3xOTo7i4+MVHx+vzz//XIGBgerUqZMeffRRdevWTQEBATZV6gz6UQBOcLlcmjlzpmFM48aNVbt2bWcK8hB6UgAF4XK5TP+Wt7t3K1u2rAIDAw034B47dswrN2zR98Iuhee4IwAA4DXycvJ02bJlba0hL/PnpU5PMKvL7muXlxzeeu0AX7ZgwQKlpaUZxhT2E8OscubMGY0ZM0ZVq1bViy++qOTkZE+XBMADMjMzNX/+fLVq1Upt27bVzz//7OmSCow+EYDTLl++rHfffdcwpkyZMmrXrp1DFfkOelLgv7Fe6D56QABOy87O1uuvv24YExISovvuu8+hinzDpUuX9OGHH+qWW27RsGHDuDcCfiwnJ0fLly9Xjx49dPvtt2v16tWeLqlA6EcBOGHt2rU6evSoYQzPys3RkwL+7dKlS6aHZtnduxUpUsT0IGpvvTfR98IubNgCAACWS0xMNByPiopSaGiorTVERESoWLFihjFmdXqKWV1OnPJbpkwZw3FvvXaAL5s+fbrheMWKFXkRNp+uXr2q999/X7Vr19b333/v6XIAeFBcXJzuvPNOvfzyy8rMzPR0OW6jTwTgtNGjR+vixYuGMU8//bSCgoIcqsj30JMCv2O90H30gACc9q9//Uv79+83jBk4cKBiYmIcqsi3ZGdna9q0aapVq5bmzJnj6XIAeNiOHTvUvn17DRkyRJcvX/Z0OW6hHwXgBLNn5REREerXr59D1fg+elLAP+WlJ6J3yx19L+zChi0AAGC5pKQkw/GoqChH6jDLY1anp3jD9fPVawf4qoMHD2rTpk2GMYMHD1ZgIH/CueP06dPq0qWL3n77bU+XAsCDsrOz9e6776pNmzammw+8FX0iACdt3bpVH374oWFMTEyMnnjiCWcK8nH0pPB33tDH5CWPN/Yy3nDtfPG6AXBPQkKC/v73vxvGBAcHa8SIEQ5V5LuSk5P14IMP6oknnlBWVpanywHgYTNmzNCdd95p+vUYb0Q/CsBuKSkpWrRokWHMfffd59jaQWFCTwr4l7z0RPRuuaPvhV142w8AAFju0qVLhuORkZGO1GGWx1sbWG+4fr567QBfZXZiWEBAgAYPHuxQNYWTy+XSq6++ygvFALRp0yY1adJEZ86c8XQp+XL16lVdvXrVMIY+EYBV0tLSNHDgQGVnZxvGjRkzRtHR0Q5V5fvoSeHPvGG9Ky95vLGX8YZr54vXDUD+ZWdna+DAgUpLSzOMGz58uKpWrepQVb7vk08+Ua9evXhBFoAOHDigO+64Q/v27fN0KflCPwrAbnPnzlVGRoZhzNChQx2qpnCiJwX8g1nfFh4erqCgINvr8NXezRf63itXrujatWu21wFrFfF0AQAAoPAxe5G0aNGijtRRrFgxw3GzOj3FG66fr147wBdlZWVp9uzZhjHt2rVTpUqVHKrIcyIjI9W8eXPddtttuu2221SzZk3FxMQoOjpaUVFRysjIUGJiopKSknT48GGtX79eP/zwg/bv35/nHJ988okiIyP1zjvv2PhLABREQECAGjZsqPr16/95PyhXrpyio6MVHR2twMDAP+8FZ8+e1ebNm7V+/Xpt2bLF9IHeH3799Ve1a9dOGzduVExMjM2/yBp56b/oEwFY5ZFHHtHBgwcNYxo0aKBHHnnEoYqcQ08K2MMb1rsk3+xlvOHa+eJ1A5B/r732mtavX28YExsbq9dee82hipwRFhampk2bqk6dOrrttttUq1YtlSpVSlFRUYqOjlZmZqaSkpKUmJiohIQErV+/XuvXr9euXbuUk5OTpxzffPONHnjgAc2dO1cBAQE2/yIABVG7dm01bNjwz78JY2Nj/1yXDAkJ+fN+cOHCBW3dulU//PCDNm3apMuXL+dp/t9++03t27fXpk2bVKVKFZt/jTXoRwHYbdq0aYbjNWrUUIsWLRyqxjPoSQFYwRv6Nsl3ezdvuH5m1076vc7Q0FDba4F12LAFAAAsl5mZaThepIgzLYhZHrM6PcUbrp+vXjvAFy1fvlznzp0zjCnMJ4bFxsaqV69e6tatm+666y4FBwfnGhscHKyoqChVqVJFDRs2VL9+/SRJe/bs0Xvvvad58+bl6VSwd999V/Xr11ffvn0t+x0ACiY0NFTdunVTt27d1KVLF5UuXdowvnz58ipfvrxq166t9u3bS5IuX76syZMn68MPP9TZs2dNcx44cEAPPPCAvvvuO594MJWX/os+EYAVPv74Y82dO9cwJjQ0VLNnz3bkJEYn0JMC9vOG9a685PHGXsYbrp0vXjcA+fPtt9+abiYPCAjQ9OnTHfsqop1KlSqlXr16qWvXrmrbtq0iIiJyjQ0JCVGxYsVUsWJF1a9fXz179pQkHTt2TOPHj9f06dPzdIDMvHnzVK9ePY0YMcKy3wGg4IKCgtShQwd1795dXbt2VcWKFQ3jy5QpozJlyujWW29Vq1atNGLECF29elWzZs3S+++/ryNHjpjmPHv2rHr16qXNmzcrLCzMqp9iG/pRAHb65ZdftH37dsOYIUOGOFSNs+hJAVjNG/q2vOTx1t7NG65fXnJ46/VD7gI9XQAAACh8vKF5zUseb21eveH6+eq1A3yR2YlhMTExuueee5wpxiGBgYHq1KmTli5dqmPHjumDDz5Q27ZtDV+MNXLbbbdpzpw5OnjwoBo3bpynf+ehhx7S6dOn3coHwDpVq1bVe++9p1OnTumrr77SoEGDTDdr5SYqKkovvfSSEhIS9PLLL+dpE9by5cs1ceJEt/I5jQ1bAJywevVqPfvss6Zxb7/9tmrVquVARfahJwWc5Q3rXXnJ4429jDdcO1+8bgDybu/evRowYIBcLpdh3JNPPql27do5VJX1AgIC1KxZM33++ec6deqUJk+erO7duxu+GGukSpUq+vjjj5WQkKDOnTvn6d959dVXtWPHDrfyAbBWuXLl9NprrykhIUHLly/XY489ZrpZKzdhYWF/fqn6ww8/zNPflTt37tQrr7ziVj6n0Y8CsJPZs/IiRYpo4MCBDlVjP3pSAHbyhr4tL3m8tXfzhuvHhq3CiQ1bAADAcmaf23bqBG6zPNnZ2Y7UkV/ecP189doBvub8+fNavny5Ycz9999f6D5l/corr2jFihXq0aOHpfe0m266SRs2bNDTTz9tGpuamqrnnnvOstwA8i82NlaHDx/Wiy++qFKlSlk2b0hIiMaOHatly5YpJibGNP711183/dKhNzDrESX6RAAFc/DgQfXp08f061B33313oeij6EkBZ3nDelde8nhjL+MN184XrxuAvLlw4YK6d++u1NRUw7hGjRrp/fffd6gqewwYMEAbN27UgAEDLF1vLV26tJYtW6a3335bgYHGr+BkZ2friSeeMN0cB8B+J06c0OjRo1WhQgXL5gwMDNQzzzyjjRs3qlKlSqbxEydO1J49eyzLbxf6UQB2yczM1BdffGEY06VLF5UtW9ahiuxHTwrATt7Qt+Ulj7f2bt5w/fKSw1uvH3LnzFZJAAD+wv79+9WhQwdPl2GpU6dOeboEr2C209/s5S+rmOVx99RsuxUpUkTXr1/PddyJ6+er1w724H5tn1mzZpn+/23o0KEOVeMcO0+dCQkJ0YQJE1SiRAmNGjXKMHbBggV65ZVXVLduXdvqAf7AvfT/sntBs3PnzlqzZo1atWqllJSUXONSUlL07rvv6oMPPrC1noLKy72TPhGFGfdRe509e1adOnXSpUuXDOOqVq2qmTNnOlOUzehJAWexXug+1goB2CUtLU1dunRRQkKCYVzJkiW1cOFChYSEOFOYTezs/wICAvT3v/9dZcuW1ZAhQwxjf/zxR33zzTe6++67basHgDk77wmNGzfW+vXr1bx5c508eTLXuKysLL3++utavHixbbVYgX4UgF2WLFmixMREw5jC9qycnhSAnViDLRhvuH55yeGt1w+5Y8MWAMBjMjMzdfr0aU+XARuYPbRzqvk3WjiWzOv0lJCQEI8vevvqtYM9uF/bZ8aMGYbjt99+u+rUqeNQNYXLG2+8of3792vhwoWGce+//77mzJnjUFXwZ9xLPaNevXr6/PPP1aNHD8OTAqdOnaqRI0eqePHizhWXT3npv+gTUZhxH7VPcnKyOnXqZPqi7g033KDly5d79b3S29CTAv8f64XuY60QgB0yMzPVs2dPbd++3TAuPDxcS5cuzdOXYiANHjxYBw4c0Lhx4wzj3n//fV6OBQq5ihUrasmSJWratKmuXbuWa9w333yjw4cPq3r16g5Wlz/0owDsMn36dMPxsmXLqkuXLg5VU3jQkwL+izXYgvGG62d27STvvX7InfG3LwEAANxgtos/MzPTkTp8tfn3huvnq9cO8CWbNm1SfHy8YUxhOzHMaZMnT1bJkiUNY77++mulp6c7VBEAT+jWrZsGDRpkGJOWlub1J9nm5aQs+kQA+XXlyhV17dpVv/zyi2FcZGSkVqxYoRo1ajhUWeFBTwr8zhvWuyTf7GW84dr54nUDkLvs7Gz1799fq1evNowLDg7WwoUL1axZM4cqKxzefPNN3XzzzYYxGzdu1LFjxxyqCICnNGjQQK+88ophTE5Ojj7//HOHKnIP/SgAO5w8eVKrVq0yjBk4cKCtX6QqzOhJAf/kDX2b5Lu9mzdcPzZsFU5s2AIAAJYrVqyY4XhaWpojdaSmphqOm9XpKd5w/Xz12gG+xOzEsPDwcPXv39+hagqnmJgY04ehGRkZWr58uUMVAfCUt956S6GhoYYxX331lUPVuKdo0aKmMfSJAPIjMzNT99xzjzZv3mwYFx4erm+//VYNGzZ0qLLChZ4U+J03rHdJvtnLeMO188XrBuCvuVwuDRs2TIsWLTKMCwwM1OzZs9W1a1eHKis8QkJC9Pbbb5vGefs6BABrvPTSSypdurRhjLffD+hHAdhh5syZysnJMYwZMmSIQ9UUPvSkgH/yhr5N8t3ezRuun9m1CwgIUEREhO11wFps2AIAAJaLiYkxHL98+bIjdZjlMavTU7zh+vnqtQN8RVpamhYsWGAY07t3b0VHRztUUeH18MMPm25yWLt2rUPVAPCUcuXKqW/fvoYxGzZsUHZ2tkMV5V+RIkUUFRVlGEOfCCCvsrKy1K9fP9NTbIODg/XVV1+pZcuWDlVWONGTAt6x3pWXPN7Yy3jDtfPF6wbgrz3zzDOaOXOmadzkyZPVr18/+wsqpO655x5VrlzZMIb+D/APYWFhevTRRw1j9u/frwsXLjhUUf7RjwKwmsvl0owZMwxjWrRooRo1ajhUUeFETwr4H7Oe6Pr167p69artdfhq7+YLfW90dLSCgoJsrwPWYsMWAACwXMmSJQ3Hk5OTHakjJSXFcNysTk/xhutnlsNbrx3gK+bPn2968srQoUMdqqZwK1asmDp37mwYs2XLFoeqAeBJffr0MRxPTU3V3r17HarGPfSJAKyQk5OjQYMGafHixYZxQUFB+uKLL9SlSxeHKiu86EkB7+hjJN9cL/SGa0cPCBQOr7zyiiZOnGgaN378eD300EMOVFR4BQYGqnfv3oYxP/74o0PVAPA0s3VJybv/JqQfBWC1uLg4HTt2zDCGZ+UFR08K+J+89ET0brmj74Vd2LAFAAAsV6pUKcPxa9eu2d7AJiUlKTMz0zDGWxtYs+t37tw522swy+Gt1w7wFdOnTzccr1q1qu666y6Hqin8WrdubTh+8OBBhyoB4El33XWX6WlT8fHxDlXjHvpEAFZ47LHH9MUXXxjGBAQEaOrUqbrvvvscqqrwoyeFv2O90H30gACs8Pbbb2vs2LGmcaNGjdJzzz3nQEWFn1n/d+nSJZ0/f96hagB4Uq1atVS6dGnDGG9el6QfBWA1s2flkZGRrEtahJ4U8C9mfZtE72aEvhd2YcMWAMBj6tWrJ5fLVaj+we8qVqxoGmP3H/x5mT8vdXqCWV1OLJaY5ahUqZLtNcB7cL+2Vnx8vDZv3mwYM2TIEAUEBDhUUeHXoEEDw/GMjAwWomE77qWeFxkZqWrVqhnGJCQkOFOMm+gT4c+4j1rj2Wef1aeffmoa9/HHH2vQoEH2F+RH6Enh71gvdB89IICCmjBhgl599VXTuBdffFGvv/66AxX5B7P+T/L+dQgA1qlfv77huDffD+hHAVgpOTlZixYtMozp16+fIiIiHKqocKMnBfxLRESE6YYeu3u3K1euKDU11TDGW3s3+l7YhQ1bAADAcsWKFTNt/o8fP25rDWYLCqVLl1bRokVtrcFdlStXNhy3+9pJ5tevSpUqttcAFFZmJ4YFBQXxcqzFzO6rknThwgX7CwHgcWb3A2+/F9AnAiiIV199VR9++KFp3Lhx4/T444/bX5CfoSeFv2O90H30gAAK4tNPP9Xw4cNN45588km999579hfkR8qWLauwsDDDGPo/wH/48rok/SgAK82dO1dXr141jBk6dKhD1RR+9KSA//F075aX+fPyvMQTPH3tJPrewooNWwAAwBZmzeHhw4dtzX/kyBHDcW9uXj197STfvn6AN8vKytLs2bMNYzp16qTy5cs7VJF/iI6ONo25cuWKA5UA8DSz+4G33ws83SempqaaPrijTwS805tvvqm3337bNG7UqFF64YUXHKjI/9CTAp7vZXx1vcvT103y3WsH+Ls5c+bo0UcfNY0bOnSoPvroIwcq8j9RUVGG4/R/gP/w5XVJ+lEAVpo2bZrheK1atXTHHXc4VI1/oCcF/Iunezezvq1MmTJe+xVFs2t39uxZpaen21oDfW/hxIYtAABgi1q1ahmOHzx40Nb8ZvOb1edJZrX99ttvSkpKsi1/Xub35usHeLNly5aZfr6aE8OsFxISYhpz/fp1ByoB4Glm9wNvvxeY9WCHDh2Sy+WyLb9Zjx0aGqpq1arZlh+Ae/75z3/qtddeM40bMWKEXn/9dQcq8k/0pADrhe5irRCAOxYuXKjBgweb/o3Yv39/ffrppwoICHCoMv/i6+sQAKzjy/cD+lEAVtm9e7d27NhhGMOzcuv58n+DAOQfa7Duq169uuk9087r53K5TDfUefP1Q+7YsAUAAGzRoEEDw/GdO3famt9skad+/fq25i+IypUrq0SJEoYxdl4/s2tXsmRJxcbG2pYfKMzMTgwrXbq0unXr5lA1/iMjI8M0Jjw83IFKAHia2f3A2+8F9evXN3yJ7vLlyzp69Kht+c36xNq1a6tIkSK25QeQf5988omef/5507innnpK77zzjgMV+S96UoD1QnexVgggv7755hsNGDBA2dnZhnE9e/bU7NmzFRjIayN28fV1CADW8eX7Af0oAKuYPSsPCQnRAw884FA1/sOX/xsEIP9Yg3VfSEiI6YYoO6/f4cOHlZqamut4QECA6tata1t+2IeVNwAAYAuz5n/Xrl2mDwvdlZWVpd27dxvGeHPzL5lfv+3bt9uW22xub792gLc6d+6cVqxYYRjz4IMPKjg42KGK/Me5c+dMY4oVK+ZAJQA8zex+4O33gujoaN10002GMfSJAP4wY8YMPfnkk6Zxw4YN04QJExyoyL/RkwKsFxYEa4UA8mrlypXq06eP6Sn5nTt31rx58zh0w0aZmZm6dOmSYQz9H+A/fH1dkn4UQEFdu3ZNX3zxhWFMjx49VKpUKYcq8g/0pID/MevbTp06pQsXLtiW39d7N2/ue6tWraqoqCjb8sM+bNgCAAC2uP322xUWFpbreFpamm0N7E8//aQrV67kOh4WFqaGDRvaktsqzZs3Nxxft26dbbnXrl1rOG5WG4C/NmvWLGVlZRnGDB061KFq/MuRI0dMY2688UYHKgHgaWb3A1+4F9AnAsiLL7/8UsOGDZPL5TKMu//++zVlyhTDr/fBGvSkAOuFBUEPCCAv1q1bp549e+ratWuGcW3atNGiRYsUEhLiUGX+6ejRo8rJyTGMof8D/Ievr0vSjwIoqCVLligpKckwhmfl1qMnBfxPhQoVVKlSJcMYu3q3M2fO6NChQ4Yx3t670ffCDmzYAgAAtggLC1OzZs0MY1atWmVL7tWrVxuOt2jRwvDlEG/Qrl07w/H169crMzPT8rxXr17Vxo0bDWPat29veV7AH8yYMcNwvGnTpqpZs6ZD1fiXrVu3Go6XKlWKk8MAP3D8+HGdP3/eMKZKlSoOVeM+sz7Rrh77xIkTOnz4sGGMWW0AnLF48WI9+OCDpg/ie/furZkzZyowkMcETqAnBVgvLAjWCgGY2bJli7p3766MjAzDuObNm+ubb77x6nteYWHW/0lS5cqV7S8EgMddu3ZNu3btMozx9nVJ+lEABTV9+nTD8djYWHXo0MGhavwHPSngnzz1PNlsDbZ69eqmm8k8zezaHThwQKdPn7Ylt9n1o+/1XTyJBQAAtjFrEhctWmRL3q+++spw3BcWee68805FRkbmOp6enq6VK1dannf58uWGD3Sjo6PVuHFjy/MChd3GjRt18OBBwxhODLPPsmXLDMfr1KnjUCUAPMnsXiD5xv2gXbt2hl/COXLkiPbs2WN5XrMeu1atWpzCCHiBFStWqF+/fqZfdu3WrZvmzp2roKAghyoDPSnwO9YL3cNaIQAj27dvV+fOnZWWlmYY16hRIy1btkxFixZ1qDL/Ztb/3XTTTWzYB/zEmjVrTL9+6O1/E9KPAiiIEydOmL6EPmjQIA6WsgE9KeCfzNZgv/nmG2VnZ1ue19fXYKXfv1Bmdti2HWvYO3bs0LFjx3IdDwgI4PBUH0aHAwAAbNO7d2/D8R07dphuYMivvXv3Gr6gGhAQYFqXNyhSpIjuuecew5i5c+dantdszp49e6pIkSKW5wUKO7MTw4oVK6Y+ffo4VI1/OXDggLZt22YY07RpU4eqAeBJs2fPNhyvUKGCYmNjHarGfWXLllXz5s0NYzzRJ953332W5wSQP3Fxcbr33ntNT7Ru3769vvrqKwUHBztUGehJgf+P9UL3sFYIIDd79uxRx44dlZKSYhhXt25drVy5UlFRUQ5V5t+SkpJMX46l/wP8h9m6ZHBwsBo1auRQNe6hHwVQEDNnzlROTk6u4wEBARo8eLCDFfkHelLAf3Xt2lURERG5jl+4cMF0I21+JSUlmW7g95XnyWZ1eqLvbdmypUqXLm15XjiDDVsAAMA2VatW1Z133mkYM3HiREtzfvTRR4bjTZs29ZnPeQ8YMMBw/Ouvv9aZM2csy3fixAktXbq0QDUB+L/S0tK0YMECw5i+fftycpVN3nnnHdOYjh07OlAJAE9au3attm7dahjjS/cCs55s6tSphifP5tfmzZu1ffv2AtUEwF6bN29Wjx49dPXqVcO4li1baunSpQoNDXWoMkj0pMB/Yr3QfawVAvhfhw4dUvv27ZWYmGgYd+utt2rVqlUqUaKEQ5VhwoQJunLlimEM/R/gHw4fPmz6pYG77rpLYWFhDlXkPvpRAO5wuVyaMWOGYUybNm1UpUoVhyryH/SkgP8qVqyYevToYRhj9Rrs5MmTDQ8UjI2N1V133WVpTruY9Zg//vijfv75Z8vypaenmx4ETt/r29iwBQAAbDVkyBDD8RkzZujs2bOW5Dp16pTmzJljGDNo0CBLcjmhXbt2hl95uH79usaNG2dZvnHjxikrKyvX8YoVK6p169aW5QP8xfz585Wenm4YM3ToUIeq8S+bN282/e/CjTfeqGbNmjlUEQBPyMzM1DPPPGMa50tfOuzTp4+KFi2a6/hvv/2mTz/91LJ8Y8eONRxv1qyZqlWrZlk+APmzfft2denSxbTnbNKkib777juFh4c7VBkkelLgr7Be6B7WCgH8p4SEBLVt21bnz583jKtevbpWr16tG264waHKcPToUdP7cWhoqO6++26HKgLgSU8//bSys7MNY3xlXZJ+FIA74uLilJCQYBjDs3Lr0ZMCMFuDXb58uXbt2mVJrrS0NNMNYA8++KACAgIsyWe3m2++2fQLhG+99ZZl+SZPnqxLly7lOl60aFH17t3bsnxwHhu2AACArR544AHDz7FeuXJFL7/8siW5RowYYXiaeJkyZfTAAw9YkssJQUFBGj58uGHMpEmTdPDgwQLn2r9/vyZPnmwY8+yzzyooKKjAuQB/M23aNMPxW265RU2aNHGoGv+RmJiov/3tb3K5XIZxw4YN85lFIQDuee6557Rnzx7DmKpVq6pt27YOVVRwJUqUMF1kHz16tOkp63mxatUqfffdd4YxL7zwQoHzAHDP3r171bFjR6WkpBjGNWzYUCtWrOCrrg6jJwX+GuuF7mGtEMAfzpw5o7Zt2+rUqVOGcZUrV1ZcXJzKlSvnUGW4evWq+vbta/rV6379+ikyMtKhqgB4yvvvv6/vv//eMCYqKkp9+/Z1qKKCoR8F4A6zZ+UlSpRQz549HarGP9CTApCk9u3bq06dOrmOu1wu094ur8aOHatz587lOh4aGqqnnnrKklxOef755w3HlyxZorVr1xY4z8WLFzVmzBjDmGHDhql48eIFzgXPYcMWAACwVVhYmOkXDWbPnq3FixcXKM+CBQs0d+5cw5jhw4crNDS0QHmk30+uDAgIMPznjTfeKHAeSXr44YcVExOT6/j169d1//33G35S2My1a9d0//33G55QFhMTo2HDhrmdA/BX8fHx2rJli2GMt5wYZve97dq1a5Z+EtzIpUuX1LFjRx0/ftwwrmjRoj63KAQUBlu3bjXsO6w0ZswYTZo0yTTuxRdftOTh/rp160zvpTNnzixwHun3ReLg4OBcx5OSkgr835ikpCTTjWE1a9bkBEbAQw4fPqz27dubbs6sU6eO/v3vfys6OtqhytxHTwr4h8K2XshaIQAnXbx4UW3bttXRo0cN4ypUqKC4uDhVqFDBocrcZ3YPLeiXEDdu3GhNoSauXr2qXr16mfabAQEBGjFihCM1AfhvO3bsMH153SqzZs3SSy+9ZBr3+OOPF/jvdfpRAN4qOTnZ9G/7AQMGKCwszKGKckdPCqAwMvv/+Q8//KAPPvigQDk2b96s9957zzBm0KBBKlOmTIHy/MHu+/Uf7rnnHt18882GMYMHD1ZycrLbOVwulwYPHmx4KGNwcLCee+45t3PAO7BhCwAA2G748OGKjY01jBk4cKB++uknt+b/8ccfTV9GrVSpkumLIN6oWLFiGjVqlGHMzz//rMGDBysnJyff82dnZ2vgwIHauXOnYdyYMWM4iR1wg9mJYcHBwT5zkndBZWRkqFGjRnlaIC6In376SQ0aNND27dtNY//xj3+oZMmSttUC4K+NHTtWt956q2bNmlWgB/dGUlNT1a9fP73++uumsbVr1/aazbP5UalSJT399NOGMUuXLnX76xRXrlxRz549TU9sHz9+PF+FATzgxIkTateuneGJhdLvX3NdtWqV4ctU/oSeFPAerBe6h7VCwL8lJyerQ4cOio+PN4wrW7as4uLiVKVKFYcq827dunVT27ZtFRcXZ1uOw4cP684779Ty5ctNYx9++GHdcsstttUCIHezZ89W1apV9dFHHyk9Pd2WHJmZmRo+fLgGDRpk+rXlMmXK+NzL8vSjAPLjiy++MPzqteQ9h5vajZ4UgCf0799fjRo1MowZMWKEvv32W7fmP3z4sHr37m240T4yMtKywwOcFBgYqPfff98w5vjx47r33nvdPhTixRdf1LJlywxjhg8frooVK7o1P7wHG7YAAIDtIiIi9M9//tMwJjU1VR06dNB3332Xr7mXLl2qjh07Ki0tzTBu/PjxCg8Pz9fc3uKxxx4z/ESxJM2dO1e9e/fW5cuX8zxvSkqK7r33Xs2fP98wrm7dunrkkUfyPC+A32VlZWnOnDmGMd27d1fp0qUdqsg7LFq0SI0aNdJdd92lWbNmmd6/8yo5OVmjR49WixYtlJCQYBpfp04d00+YA7DP4cOHNWjQIFWuXFmvvfaajhw5Ysm8LpdL33zzjRo2bGja40hSUFCQpkyZoiJFiliS32kjR45UuXLlDGPeffddPf744/naHHfmzBm1a9dO69evN4zr1q2bunTpkud5AVjj3LlzateunU6cOGEYV61aNa1evdrv+s28oCcFPI/1QvexVgj4p7S0NHXu3Fm7du0yjCtVqpTWrFmj6tWrO1OYj4iLi1Pbtm1Vr149TZo0SUlJSZbMm5GRoYkTJ6phw4bavXu3aXz58uU1duxYS3IDcM/Zs2f1zDPPKDY2Vs8++2ye/r+bVz/88IOaN2+uCRMm5Cn+o48+UvHixS3L7xT6UQB5NX36dMPxBg0aqF69es4U4wXoSQE4LSAgQB9//LHh4ZvXr1/Xfffdp6lTp+Zr7k2bNqlly5Y6e/asYdzIkSNVtmzZfM3tLbp166auXbsaxqxdu1YdOnQwvQ7/6dq1a3r44Yc1fvx4w7hy5crptddey/O88F6++TYKAACF3LJly/LVxEnSwYMHDcfT0tLy3VhLUteuXU1fAs2L3r17629/+5vmzp2ba0xKSop69Oih/v3767XXXlPNmjVzjd2/f79Gjx6dpxdxBwwYoF69erlVtzcICgrSnDlzdMcddxiePrR48WJt27ZNY8aMUb9+/XL9bHxGRobmzp2rkSNH6vTp04a5w8PDNWfOHAUFBRXoNwD+6LvvvtP58+cNY/zlxLC/smHDBm3YsEGPPfaY2rZtq86dO6t58+aqXbu2AgPzdrZIVlaWtm/frvnz5+uzzz7L84u2xYsX16JFixQcHFyQnwDAAmfPntWbb76pN998U3Xr1lW3bt3UunVrNW7cWJGRkXme5/jx4/r+++81YcIEHThwIM//3nvvvaemTZu6U7pXiIyM1IwZM9S5c2fDE3v/9a9/ae3atXr77bfVo0ePXHu7lJQUTZ06VW+99ZYuXbpkmPuGG27QlClTClQ/APe0b99ehw8fNowJCAhQ//7983SaqlVq1Kihu+66y7F8VqAnBTyL9UL3sFYI+Kf+/fvrxx9/NI3r27evNm/erM2bNztQ1e8vD5m9vORNdu/erSeffFLPPvusWrRooa5du6pFixaqV69envuynJwc7dmzR4sXL9akSZP022+/5enfCwkJ0VdffaUSJUoU5CcAsMilS5f04Ycf6sMPP1SNGjXUrVs3tWnTRk2aNMnXV6rPnTunNWvW6KOPPsrX12Gfeuop9enTx53SPY5+FEBe7N69Wzt27DCM8ddn5fSkgHdbv369Dh06lK9/JzEx0TTGnfc2W7ZsWeADWRo3bqy///3vevvtt3ONuXbtmh566CF9/fXXGj16tOFXuY4fP653331Xn332meGXtaTf6x8+fLi7pXuFTz/9VPXq1dPFixdzjdm4caNq166tf/zjHxo2bFiu7zlkZWVp6dKlevXVV03f9Q0MDNTMmTPz9c4EvFeAy+z7ywAAwHGtWrXSDz/84OkyJP1+CkCrVq0smSstLU233367acP5h/r166tp06aqUqWKihUrptTUVB07dkybNm3K82lnNWvW1LZt21SsWLGClP5fEhISVKVKFcOYkSNHWv4536lTp+qhhx7KU2zx4sXVunVr1a1bV6VKlZLL5dJvv/2m3bt3Ky4uLs+nmU2dOtVvF8mAgurRo4fhZ8NvvPFGHT9+3GseKtl9b0tOTs7Twm/RokV18803q0aNGipfvrxKly6tiIgIhYaGKj09XUlJSUpMTNSRI0e0efNmpaen56uOokWLatmyZWrZsqVbvwNAwd1zzz1aunSpYUxgYKCqVKmimjVrqmLFiipbtqyio6MVGhqq7OxsJSUlKSkpSefOndPmzZtNvzLzV5588klNnDjR3Z/xl9atW6fWrVsbxsyYMUODBg2yNO8//vEPvfXWW3mKLVOmjFq3bq3atWsrJiZG169f14ULF7Rjxw6tXbvW8CWLPwQFBWn58uXq0KFDQUsH4AajkxA9aeDAgZo5c2aB5qAnBfxPYVgvZK0QgBMqV66s48ePe7qM/6Nly5Zat25dgeYw628L2mcWL15cKSkphjGhoaGqUaOGbr75Zt14440qU6aMihUrptDQUGVkZPy5DpGQkKCNGzcqOTk5XzUEBQXp888/V79+/dz+HQAKbvjw4aZfvwoICFBsbKxq1qypypUrq2zZsipRooRCQ0Ml/b7RKzExURcvXtTWrVvz/TKv9Pv66MKFC1WkiDXnrNOPAvBGTz/9tOEzmLCwMJ09e9ZrvjRITwrgD4MGDdKsWbM8XYYk654rZ2dnq02bNlq/fn2e4mvWrKkWLVqoevXqioqKUnp6uk6ePKmtW7fqxx9/NDxI9A+lS5fWzp07Vb58+YKW/1/svl//lZUrV6pLly7KyckxjQ0PD1fr1q1Vv359lSlTRkFBQUpKStKePXu0du1aw41f/+kf//iHxowZU9DS4SX4whYAAHBMsWLFtHLlSrVo0UInT540jd+5c6d27tzpdr6KFStq5cqVlm7W8qRhw4bp5MmTGj16tGlscnKyFi9erMWLF7ud74033mDBG3DTuXPntGLFCsOYQYMGec1mLW+Snp6uHTt2mJ645o4SJUpoyZIlPvflB8Af5eTk6Ndff9Wvv/5qy/zPPfecxo8fb8vcnjBmzBidPn06T4vP58+f17x589zOFRAQoKlTp7JZC0ChRk8KOIf1QvexVggA1rl27Zr27NmjPXv2WD53WFiYZs2a5bNf0gH8jcvl0okTJ9w6ICov+vbtqzlz5li2WcuT6EcB5ObatWv64osvDGN69erlNZu1vAU9KQC7BAUFacmSJWrdunWeDr2Kj49XfHy82/mKFy+ulStXWr5Zy1M6duyozz77TMOGDTPdrJaRkaHly5dr+fLlbucbPHhwnnps+I5ATxcAAAD8S6VKlRQXF6eqVavamqdatWqKi4tTxYoVbc3jtFGjRun111+3Pc/IkSM1cuRI2/MAhdWsWbMMP/0dEBCgIUOGOFgR6tSpo23btvFiLODnwsPDNXPmzEK1WUv6/5uo7P5vS3BwsD799FPLvxAGAP6CnhT4a6wXuo+1QgDwbhUrVtSGDRt4MRaAgoKCNHbsWM2bN0/BwcGeLscy9KMA/sqSJUuUlJRkGMMGTOfQkwKQfj9MbtWqVbr99tttzVO6dGmtXLlS9erVszWP04YMGaIpU6bYfvDC0KFDNXXqVNMvicG3sGELAAA4rlq1atq2bZs6duxoy/ydOnXStm3bbH/Jw1NGjRql+fPn23IScLFixbRw4UK98cYbls8N+JPp06cbjrdq1Uo33XSTQ9X4t7CwMI0ePbpQ/3cBQN507NhRe/fu1cCBAz1dii2CgoI0bdo0ffDBB7a89FG6dGmtXr1aw4YNs3xuACjs6EkBc6wXuo+1QgDwPkFBQXr66ae1d+9e21+GA+D9GjVqpJ9//lkvv/yyp0uxBf0ogP81bdo0w/GbbrpJrVq1cqYYP0ZPCuB/3XDDDdqwYYMefPBBW+b/o+9t3LixLfN72kMPPaRVq1apdOnSls8dHBysjz76SFOnTlVgINt7Chv+FwUAAB5RokQJff/995o5c6ZlTWzp0qU1a9YsrVixotB/Or1Pnz46cOCAevXqZdmcvXv31oEDB9S7d2/L5gT80caNG3Xo0CHDGH88MSw0NFRt2rRReHi4I/kiIiL09NNP68iRI3rttdcUEhLiSF4A5po0aaLy5cs7lq9Vq1ZavXq1vv/+e7/YLDt8+HDt3r1brVu3tmS+wMBAPfLII4qPj+eLMAB8Hj0p4N1YL3Qfa4UAkLv27dsrKirKkVzBwcF68MEHtX//fk2YMEGRkZGO5AWQN/Xr13d0fbBBgwb66quvtHXr1kL3hYH/RT8K4A8nTpzQmjVrDGOGDBnid18OoScF4C3CwsI0a9Ysfffdd5b1xpGRkfrnP/+pLVu2KDY21pI5vVWrVq104MABPfzww5ZtrGrdurV2796tp556ypL54H3YsAUAADxq4MCBOnr0qCZNmqRbbrnFrTluvfVWTZo0SceOHbPtBAhvVKFCBX311Vfavn277r//frdeOAsPD9cDDzygHTt2aOHChapQoYINlQL+xezEsOjoaN17770OVeM9wsPDtWbNGiUnJ+uHH37QG2+8oQ4dOlh68kxERIQ6deqkadOm6dy5c5owYYJuvPFGy+YHYI0RI0bo9OnTOnjwoCZPnqy//e1vqlmzpmULmgEBAbrtttv06quv6uDBg1q7dq3atm1rydy+4pZbblFcXJzWrl2ru+++260vbkVHR+uJJ55QfHy8Jk+erBIlSthQKQA4i54U8A2sF7qHtUIA+GsLFy5UUlKStm7dqnfeeUfdunWztD8LCQlRy5Yt9dFHH+nMmTOaNWuWatSoYdn8AKwzcOBA/frrrzp+/LhmzpypIUOGqE6dOpZ+rb5atWoaPny4tm/fru3bt6tXr15+symBfhSAJM2YMUM5OTm5jgcGBmrgwIEOVuQd6EkBeJuuXbsqPj5ec+bMUaNGjdyao1KlSho7dqwSEhL07LPPKigoyOIqvVNMTIymTJmi+Ph4PfHEE25tyA0ODtY999yjtWvXKi4uzu11cPiGAJfL5fJ0EQAAAH84dOiQvv/+e+3YsUP79u3T6dOnlZqaqitXrigiIkKRkZGqUKGCbr31VjVo0ECdO3dW9erVPV22V8jIyFBcXJx++OEH7d27V4cOHdKlS5eUmpoq6ffTLGJiYlSjRg3VqlVLrVq1UuvWrR07WRwAcnPmzBnt2rVL8fHxOnny5J//XLx4UVeuXNGVK1eUkZEhl8ulsLAwRURE6IYbblD58uVVpUoV3XbbbapXr57uuOMOvloA+LArV67ol19+0Z49e5SQkKCTJ0/q1KlTOnPmzJ/9YEZGhq5fv66QkBCFhYWpRIkSKleunGJjY3XrrbeqTp06atKkicqUKePpn+NVLl++rH//+9/auHGj9u3bpyNHjiglJUWpqakKCgpSZGSkSpYsqZo1a6p27dpq27a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      "text/plain": [
       "<Figure size 3840x2880 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def generateData():\n",
    "    # 生成数据集\n",
    "    x = np.linspace(-10, 10, 40)\n",
    "    # 使用噪声构建y\n",
    "    y = 2 * x + 3 * x**2 + 4 * x**3 + 5 + np.random.normal(scale=200, size=x.shape)\n",
    "\n",
    "    data = np.column_stack((x, y))\n",
    "\n",
    "    # 绘制数据集\n",
    "    plt.figure(dpi=600)\n",
    "    plt.scatter(x, y)\n",
    "    plt.show()\n",
    "    \n",
    "    return data\n",
    "\n",
    "data = generateData()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 保存数据\n",
    "def save_data(filename, data):\n",
    "    np.savetxt(filename, data, delimiter=',')\n",
    "    print(f\"{filename} 已成功创建并写入数据。\")\n",
    "\n",
    "# save_data('data.csv', data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "拟合后的多项式: 73.05 + 0.00*1 + 30.69*x + 93.71*x^2 + 1598.24*x^3\n",
      "损失: 45165.51\n"
     ]
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 3840x2880 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def polynomial_normal_regression(data, degree=3):\n",
    "    # 生成多项式特征并进行线性回归\n",
    "    model = make_pipeline(PolynomialFeatures(degree), LinearRegression())\n",
    "    model.fit(data[:, 0].reshape(-1, 1), data[:, 1])\n",
    "    y_pred = model.predict(data[:, 0].reshape(-1, 1))\n",
    "    \n",
    "    # 输出拟合后的多项式\n",
    "    coef = model.named_steps['linearregression'].coef_\n",
    "    intercept = model.named_steps['linearregression'].intercept_\n",
    "    poly_features = model.named_steps['polynomialfeatures']\n",
    "    feature_names = poly_features.get_feature_names_out(['x'])\n",
    "    \n",
    "    polynomial = \" + \".join(f\"{coef[i]:.2f}*{feature_names[i]}\" for i in range(len(coef)))\n",
    "    polynomial = f\"{intercept:.2f} + \" + polynomial\n",
    "    print(f\"拟合后的多项式: {polynomial}\")\n",
    "    \n",
    "    # 计算并输出损失\n",
    "    loss = mean_squared_error(data[:, 1], y_pred)\n",
    "    print(f\"损失: {loss:.2f}\")\n",
    "\n",
    "    # 绘制拟合结果\n",
    "    plt.figure(dpi=600)\n",
    "    plt.scatter(data[:, 0], data[:, 1], label='original data')\n",
    "    plt.plot(data[:, 0], y_pred, label='fit curve', color='red')\n",
    "    plt.legend()\n",
    "    plt.show()\n",
    "\n",
    "polynomial_normal_regression(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "拟合后的多项式: -31.82 + 0.00*1 + 5.17*x + 2.99*x^2 + 3.93*x^3\n",
      "损失: 45165.51\n"
     ]
    },
    {
     "data": {
      "image/png": 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x8847J8bdc8898c0335Rr7nxx6aWXxrJly0odLygoiGeffTaOOOKIcs999NFHx9NPP50Ys3Tp0rj00kvLPTeQHn/5y18Sx2vVqhUnn3xylrIBIJ+cf/75sX79+lLH69atG6+//nqF3lR2wQUXxK233poYM3369LjxxhvLPTeQXj169Ihnn302pk2bFtddd1107dq1UvO1aNEihgwZEjfccEPK2C+++CIeeeSRSq0H1EzOCyvOWSEQEbH55pvHgw8+GDNmzIg77rgjevbsWan5GjZsGH/+85/j8ccfj6KiosTYWbNmxS233FKp9QCoutSjQDY99thjid+DRESceuqpWcoGqOnat28fRxxxRFx//fXx97//PX788ceYPHlyPPjgg7lObYPmzZuX8jelm2++eQwfPrzcb3+tW7duPPnkkynfPvXyyy/Hm2++Wa6588UNN9wQM2bMSIz54x//GOeee265595zzz1j2LBhUadOnVJj1q9f782y1YSGLQDIY507d46jjz46br755njzzTdjwYIF8d1338Vzzz0Xl1xySeyzzz7RpEmTXKeZ0jXXXJP4CtfmzZvH888/Hw0aNKjQ/A0bNowXXnghmjVrVmrM2rVr49prr63Q/Lk0bty4eO655xJjLr744jjyyCMrvMYxxxwTAwcOTIx59tlnY/z48RVeA6iYZcuWxfPPP58Y069fv2jVqlWWMgIgX7z++usxevToxJjbb789dt111wqvcckll6T8YcVdd90VCxYsqPAaQMXtuOOO8dprr8WYMWPi+OOPj9q1a6d1/t/+9rdx2WWXpYy76aabUv5oAuD/cl5YMc4Kga5du8ZTTz0V48ePjzPOOKPC98nSnHzyyXHPPfekjLvnnnti8eLFaV0bgPynHgWyqaSkJB599NHEmO7du1f64QUAG9K2bds47LDD4tprr42hQ4fG3LlzY9q0aTF48OD43e9+FwceeGBsvPHGuU4z0W233RaLFi0qdbxOnTrxwgsvxCabbFKh+YuKiuLxxx+PTp06JcZdddVVFZo/l+bPnx933XVXYszRRx+dsm5Nsvvuu8cf/vCHxJhRo0bFG2+8UeE1yA8atgAgz1x99dXxxhtvxPz582PSpEnx4osvxuWXXx69e/dO/IFBvpo0aVK89NJLiTHXX399tG/fvlLrdOzYMa655prEmBdffDGmTJlSqXWy7dZbb42SkpJSxzt27BjXXXddpde54YYbol27dqWOl5SUpHzDApB+L7zwQixdujQxxhPDAGqmVIe3u+yyS5xzzjmVXue+++6Lhg0bljq+bNmylG/HANJrs802i2effTY+/vjj6NevX0bXuvnmm2OfffZJjJk6dWqMGDEio3kA1YvzwopzVgg1V6tWreL++++Pr7/+Ok488cSUb8GqjLPPPjtOPvnkxJhly5bFCy+8kLEcAMhP6lEgm95+++2YNGlSYozvyoF0Ov/88+O1116LWbNmxYwZM2LIkCFx5ZVXxiGHHFLhpqZcWbx4cco3fw0cODB69OhRqXWaNm2asrHpgw8+iPfee69S62TbvffeG8uXLy91vHHjxnHvvfdWep1f//rXscMOOyTGpPpdAPlPwxYA5JmBAwdGnz59onnz5rlOJS3uu+++WLduXanjW2yxRZxxxhlpWeucc86JzTbbrNTxdevWVakfk86fPz+eeeaZxJhrr7026tWrV+m1GjRokPIHLE899ZS3J0CW/eUvf0kcb9u2bRx88MFZygaAfPHll1/G22+/nRjzhz/8IQoKCiq9Vps2beKiiy5KjElV8wPpddlll8Xxxx+fln/HUykoKIjbb7895VqvvPJKxnMBqg/nhRXjrBBqtlNOOSXOPvvsqFWrVlbWu/HGG1O+vUsNCFCzqEeBbEv1XXm9evXixBNPzFI2QE1w6qmnRr9+/aJ169a5TqXSHn/88cS3azVr1ix+97vfpWWtww47LPbcc8/EmLvvvjsta2XD2rVr4/7770+MueSSS6JVq1aVXqugoCBlQ9aIESPiq6++qvRa5I6GLQAgY9atWxfPPvtsYsyFF16YtidB1qpVK379618nxjzzzDOxfv36tKyXac8//3ysXr261PFNN900TjjhhLStd+KJJyb+RWL16tXx4osvpm09INmECRNi1KhRiTH9+/fP6NN0AchPTz75ZOL4zjvvHHvttVfa1jvvvPOibt26pY7PmTMn3nzzzbStB+SXnj17xn777ZcYk6qJFODfnBdWnLNCIJvKck957733qsT9E4D0UI8C2bRo0aIYPHhwYswRRxwRG220UZYyAqhaUn2ffMYZZ0STJk3Stt7FF1+cOP7aa68lNpDlk3/84x8xd+7cUsfr168f5557btrW22+//VK+6ezpp59O23pkn4YtACBjRowYEbNmzSp1vF69evHLX/4yrWv2798/6tSpU+r4zJkzq8wPyVIV2gMGDIjatWunbb26detG//79K5UTkD6PPPJIyphf/epXWcgEgHxSUlKS8kfOp59+elrXbNmyZfz85z9PjFEnQvXWr1+/xPEJEybEmjVrspQNUJU5L6w4Z4VAtqWqARcvXhxTp07NUjYA5Jp6FMimZ555JlasWJEYc+qpp2YpG4CqZeLEifHJJ58kxqT7++RDDz002rRpU+r4qlWr4qWXXkrrmpmSqsY88sgjY+ONN07rmqn+93jmmWeipKQkrWuSPRq2AICMee211xLH+/btG40bN07rms2aNYuDDz44MSZVXvlg/vz58cEHHyTGHH/88WlfN9VTz0aNGhULFixI+7rA/1q7dm088cQTiTF77bVXbL755lnKCIB8MXbs2Jg+fXqp47Vr144jjzwy7eumqhOHDh3qyepQjaV6a9/atWtj2rRpWcoGqMqcF1aMs0IgF8ry5uZJkyZlIRMAck09CmRbqoebdurUKfbbb78sZQNQtaQ669xhhx3S/nujwsLCOPbYYxNj8v0MNiJi/fr1MWzYsMSYTNS9xxxzTNSqVavU8WnTpsUXX3yR9nXJDg1bAEDGvPnmm4njffv2zci6qeYdPnx4RtZNp7feeivxqQgdOnSIbbbZJu3rdu/ePTbddNNSx9evXx8jRoxI+7rA/xo2bFjMnj07McYTwwBqplQ19m677RbNmzdP+7oHHHBA4pspFixYEGPGjEn7ukB+aN26dcqY4uLizCcCVHnOCyvGWSGQC82bN0/8e2CEGhCgplCPAtn0xRdfxD//+c/EmFNOOSUKCgqylBFA1ZKvZ7AjR46MdevWZWTtdPnnP/+ZeNZRt27d6N27d9rXbdGiRey8886JMfl+hk3pNGwBABkxa9as+OabbxJj9t9//4ysfcABBySOf/311ykbIXLtrbfeShzP1LUry9yp/lIHVF6qJ4Y1adIkjj766CxlA0A+yVWd2LBhw9htt90SY9SJUH1tsskmKWNWrFiRhUyAqsx5YcU5KwRypUWLFonjakCAmkE9CmRTqu/KCwsLY8CAAdlJBqCKWbt2bbz77ruJMZmq3fbcc8+oV69eqeOLFi2KTz75JCNrp0uqunf33XeP+vXrZ2TtVGfY6t6qS8MWAJARH3/8ceJ4+/bto3379hlZu1OnTtGmTZvEmHwv/lNdv9133z1ja/fq1StxPN+vHVR1c+bMiaFDhybGnHDCCdGgQYMsZQRAPklVi6kTgUxYvnx5ypikL+EAIpwXVoazQiBXUtWBakCAmkE9CmTL6tWr46mnnkqMOeCAA6JDhw5Zygigavn6669j2bJlpY7Xrl075ZucKqpevXrRo0ePxJh8r93UvWSChi0AICPGjBmTON6zZ8+Mrr/jjjsmjo8dOzaj61fG6tWr4+uvv06MyeT1S3Xtvvrqq1izZk3G1oea7oknnoi1a9cmxpx66qlZygaAfDJ58uRYuHBhYkwu68R8rrGByvnhhx9Sxmy00UZZyASoypwXVoyzQiBXlixZEosWLUqMUQMCVH/qUSCbhgwZEvPnz0+M8V05QOlSncFuvfXWUbdu3YytX1XPYP8tl2fYqa7dggULYtq0aRlbn8zRsAUAZMRnn32WOL7ddttldP1U8+dz8f/1118nHioXFRXF1ltvnbH1t9lmmygsLL1MXL16dYwbNy5j60NN98gjjySOb7vttrHTTjtlKRsA8kmqGrt9+/bRrFmzjK2fqsaePHlyFBcXZ2x9IHdSfUFVq1at6NixY5ayAaoq54UV46wQyJWxY8dGSUlJYkyXLl2ylA0AuaIeBbLpL3/5S+L4xhtvHD//+c+zlA1A1eMMtuLK0hCVyevXvHnz2HTTTRNj8vn6UbpauU4AAKievv3228TxLbbYIqPrb7755onjEydOzOj6lZHq2nXs2DHq1KmTsfXr1KkT7du3j6lTp5YaM3HixNh+++0zlgPUVKNHj47x48cnxtS0J4bNnTs3Jk+eHDNnzoylS5fGunXron79+tGgQYNo06ZNtGvXLlq3bp3rNIEMW7FiRXz//ffxww8/RHFxcaxcuTLq1q0b9evXj+bNm0f79u2jXbt2Ga2R8kGua+xOnTpFrVq1Et8E+d1336V8+hdQ9QwdOjRxfMstt4xatarv1w1qUkiPXNcyVfW80FkhkCupasAmTZpEhw4dspRNdi1cuDAmTZoU06dPjyVLlsSaNWv+U/+1bNky2rdvH23atElsIACqhzVr1sT3338f06ZNiwULFsTKlSujdu3aUb9+/WjWrFm0a9cu2rdvH/Xr1891qhmjHgWy5Ycffojhw4cnxpx00knV/rugf1OTAhXhDLbiUuVWu3btjD+8cPPNN48ZM2aUOp7P14/SVd9vUAGAnCkpKYkpU6YkxqQqzisr1fyp8sulyZMnJ45n+tr9e42kQ+9UOQIVk+qJYXXq1Ilf/vKXWcomdx588MEYPnx4fPDBBzFz5syU8c2aNYuePXtGr1694pBDDolddtnFwTRUAx999FGMGTMm3n777Rg3blysW7cuMb5WrVrRrVu32HHHHePAAw+MPn36RNOmTbOUbXbkuk789xt0vv/++1JjJk+erGELqplFixal/LHu3nvvnaVsskdNCunlvLDicl0D/nsNZ4VQs6xbty6ef/75xJg99tijWtU7L7zwQnzxxRcxatSoMv03oWHDhtG9e/fYdddd4+CDD44999yzxvx4GKq7cePGxWWXXRYjR46ML7/8MlatWpUYX1hYGF27do0dd9wx9t9//zj44IOjZcuWWco289SjQLY89thjsX79+sSY6v5wUzUpUFm5rt1Szb9s2bKYN29ebLLJJhnNoyJSXbvOnTtHUVFRRnPYfPPN45133il1XN1bNWnYAgDSbs6cObFy5crEmLZt22Y0h1TzL1u2LObOnZuXh+WpDl0yfe3KsobiH9Jv6dKl8cILLyTGHH744bHxxhtnKaPcOeuss8oVX1xcHCNGjIgRI0bE9ddfH23bto1TTz01zjrrrKzcM4HMeOCBB8oVv3bt2vj888/j888/j7/85S9Rp06dOOKII+Lss8+uNo0E+VInpmrYAqqXhx9+OJYtW5YYc9hhh2Upm+xRk0J6OS+suHypAZOoAaH6eeWVVxJ/GB9R/WrAyy+/vFzxy5Yti1GjRsWoUaPi9ttvj4022ij69+8f55xzTsafWA5k1osvvliu+PXr18f48eNj/Pjx8dRTT0VhYWEcdNBBcdZZZ0W/fv2ioKAgQ5lmh3oUyIaSkpJ47LHHEmN23nnn2GabbbKTUI6oSYHKKCkpSfl3+UzXbq1bt47CwsLEBtzJkyfnZcOWupdMqT6POwIA8kZZnjzdunXrjOZQlvnLkmcupMor09euLGvk67WDquyFF16IpUuXJsZU9yeGpcvMmTPjuuuuiy5dusSll14axcXFuU4JyIHVq1fH888/H/vss0/07t07/vnPf+Y6pUpTJwLZtnjx4rjlllsSY1q1ahX7779/ljKqOtSk8L+cF1acGhDItnXr1sVVV12VGFOnTp045phjspRR1bBw4cK4884742c/+1mcdtpp7o1Qg61fvz6GDRsWhx12WOy4447x5ptv5jqlSlGPAtkwcuTImDRpUmKM78pTU5NCzbZw4cKUD83KdO1Wq1atlA+iztd7k7qXTNGwBQCk3fz58xPHmzRpEnXr1s1oDg0aNIhGjRolxqTKM1dS5ZWNp/y2atUqcTxfrx1UZY888kjieIcOHfwQtpxWrlwZt912W2yzzTbx97//PdfpADk0YsSI2HXXXeOKK66I1atX5zqdClMnAtl27bXXxrx58xJjfv3rX0dRUVGWMqp61KTwL84LK04NCGTbn/70pxg3blxiTP/+/aN58+ZZyqhqWbduXfzlL3+Jbt26xZNPPpnrdIAcGzNmTBxwwAHxq1/9KhYvXpzrdCpEPQpkQ6rvyhs0aBDHH398lrKp+tSkUDOVpSZSu5VO3UumaNgCANJuwYIFieNNmjTJSh6p1kmVZ67kw/WrqtcOqqoJEybEqFGjEmNOOeWUKCz0V7iKmDFjRhxyyCFx44035joVIIfWrVsXt9xyS+y3334pmw/ylToRyKaPPvoo7rzzzsSY5s2bx7nnnpudhKo4NSk1XT7UMWVZJx9rmXy4dlXxugEVM2XKlPjNb36TGFO7du24/PLLs5RR1VVcXBwnn3xynHvuubF27dpcpwPk2KOPPhq77rpryrfH5CP1KJBpixYtisGDByfGHHPMMVk7O6hO1KRQs5SlJlK7lU7dS6b4tR8AkHYLFy5MHG/cuHFW8ki1Tr4WsPlw/arqtYOqKtUTwwoKCuKUU07JUjbVU0lJSfzud7/zg2IgRo0aFbvttlvMnDkz16mUy8qVK2PlypWJMepEIF2WLl0a/fv3j3Xr1iXGXXfdddG0adMsZVX1qUmpyfLhvKss6+RjLZMP164qXjeg/NatWxf9+/ePpUuXJsYNHDgwunTpkqWsqr77778/jjrqKD+QBeKbb76JXXbZJb7++utcp1Iu6lEg05555plYsWJFYsypp56apWyqJzUp1Ayp6rb69etHUVFRxvOoqrVbVah7ly9fHqtWrcp4HqRXrVwnAABUP6l+SNqwYcOs5NGoUaPE8VR55ko+XL+qeu2gKlq7dm088cQTiTH7779/dOzYMUsZ5U7jxo1jjz32iG233Ta23Xbb2GqrraJ58+bRtGnTaNKkSaxYsSLmz58fCxYsiIkTJ8a7774b77zzTowbN67Ma9x///3RuHHjuPnmmzO4E6AyCgoKYocddogePXr8537Qpk2baNq0aTRt2jQKCwv/cy+YNWtWjB49Ot5999344IMPUn6h92/ff/997L///vH+++9H8+bNM7yj9ChL/aVOBNLlzDPPjAkTJiTG9OzZM84888wsZZQ9alLIjHw474qomrVMPly7qnjdgPK78sor4913302Mad++fVx55ZVZyig76tWrF7169Yrtttsutt122+jWrVu0aNEimjRpEk2bNo3Vq1fHggULYv78+TFlypR499134913343PPvss1q9fX6Y1Xn311TjppJPimWeeiYKCggzvCKiMbbbZJnbYYYf//J2wffv2/zmXrFOnzn/uB3Pnzo2PPvoo3nnnnRg1alQsXry4TPP/+OOPccABB8SoUaOic+fOGd5NeqhHgUz7y1/+kjjetWvX2HPPPbOUTW6oSYF0yIe6LaLq1m75cP1SXbuIf+VZt27djOdC+mjYAgDSbvXq1YnjtWplpwRJtU6qPHMlH65fVb12UBUNGzYsZs+enRhTnZ8Y1r59+zjqqKOiX79+sddee0Xt2rVLja1du3Y0adIkOnfuHDvssEMcf/zxERHx5Zdfxh/+8Id47rnnyvRUsFtuuSV69OgRxx13XNr2AVRO3bp1o1+/ftGvX7845JBDomXLlonxbdu2jbZt28Y222wTBxxwQERELF68OB544IG48847Y9asWSnX/Oabb+Kkk06Kv/3tb1Xii6my1F/qRCAd7r333njmmWcSY+rWrRtPPPFEVp7EmA1qUsi8fDjvKss6+VjL5MO1q4rXDSif1157LWUzeUFBQTzyyCNZeytiJrVo0SKOOuqo6Nu3b/Tu3TsaNGhQamydOnWiUaNG0aFDh+jRo0ccccQRERExefLkuP322+ORRx4p0wNknnvuuejevXtcfvnladsHUHlFRUXRp0+fOPTQQ6Nv377RoUOHxPhWrVpFq1atYuutt4599tknLr/88li5cmU8/vjjcdttt8V3332Xcs1Zs2bFUUcdFaNHj4569eqlaysZox4FMumLL76ITz/9NDHmV7/6VZayyS41KZBu+VC3lWWdfK3d8uH6lWWNfL1+lK4w1wkAANVPPhSvZVknX4vXfLh+VfXaQVWU6olhzZs3j8MPPzw7yWRJYWFhHHTQQTFkyJCYPHly3HHHHdG7d+/EH8Ym2XbbbePJJ5+MCRMmxM4771ymz5x++ukxY8aMCq0HpE+XLl3iD3/4Q0yfPj3++te/xoABA1I2a5WmSZMmcdlll8WUKVPiiiuuKFMT1rBhw+Kee+6p0HrZpmELyIY333wzLrzwwpRxN954Y3Tr1i0LGWWOmhSyKx/Ou8qyTj7WMvlw7aridQPK7quvvooTTzwxSkpKEuPOO++82H///bOUVfoVFBTE7rvvHk899VRMnz49HnjggTj00EMTfxibpHPnznHvvffGlClT4uCDDy7TZ373u9/FmDFjKrQekF5t2rSJK6+8MqZMmRLDhg2Ls88+O2WzVmnq1av3nzdV33nnnWX6e+XYsWPjt7/9bYXWyzb1KJBJqb4rr1WrVvTv3z9L2WSemhTIpHyo28qyTr7Wbvlw/TRsVU8atgCAtEv1uu1sPYE71Trr1q3LSh7llQ/Xr6peO6hq5syZE8OGDUuM+eUvf1ntXmX929/+Nl5//fU47LDD0npP22yzzeK9996LX//61yljlyxZEhdddFHa1gbKr3379jFx4sS49NJLo0WLFmmbt06dOnHTTTfF0KFDo3nz5injr7rqqpRvOswHqWrECHUiUDkTJkyIY489NuXboX7+859XizpKTQrZlQ/nXWVZJx9rmXy4dlXxugFlM3fu3Dj00ENjyZIliXE77bRT3HbbbVnKKjNOPPHEeP/99+PEE09M63lry5YtY+jQoXHjjTdGYWHyT3DWrVsX5557bsrmOCDzpk2bFtdee220a9cubXMWFhbGBRdcEO+//3507NgxZfw999wTX375ZdrWzxT1KJApq1evjqeffjox5pBDDonWrVtnKaPMU5MCmZQPdVtZ1snX2i0frl9Z1sjX60fpstMqCQAbMG7cuOjTp0+u00ir6dOn5zqFvJCq0z/Vj7/SJdU6FX1qdqbVqlUr1qxZU+p4Nq5fVb12ZIb7deY8/vjjKf99O/XUU7OUTfZk8qkzderUibvuuis22mijuOaaaxJjX3jhhfjtb38b22+/fcbygX9zL/2pTB9oHnzwwfHWW2/FPvvsE4sWLSo1btGiRXHLLbfEHXfckdF8Kqss9051ItWZ+2hmzZo1Kw466KBYuHBhYlyXLl3isccey05SGaYmhexyXlhxzgqBTFm6dGkccsghMWXKlMS4jTfeOF588cWoU6dOdhLLkEzWfwUFBfGb3/wmWrduHb/61a8SYz/88MN49dVX4+c//3nG8gFSy+Q9Yeedd45333039thjj/jhhx9KjVu7dm1cddVV8fLLL2csl3RQjwKZ8sorr8T8+fMTY6rbd+VqUiCTnMFWTj5cv7Kska/Xj9Jp2AIgZ1avXh0zZszIdRpkQKov7bJV/CcdHEekzjNX6tSpk/ND76p67cgM9+vMefTRRxPHd9xxx9huu+2ylE31cvXVV8e4cePixRdfTIy77bbb4sknn8xSVtRk7qW50b1793jqqafisMMOS3xS4MMPPxyDBg2KZs2aZS+5cipL/aVOpDpzH82c4uLiOOigg1L+UHeTTTaJYcOG5fW9Mt+oSeH/cV5Ycc4KgUxYvXp1HHHEEfHpp58mxtWvXz+GDBlSpjfFEHHKKafEN998E7feemti3G233ebHsVDNdejQIV555ZXo1atXrFq1qtS4V199NSZOnBhbbLFFFrMrH/UokCmPPPJI4njr1q3jkEMOyVI21YeaFGouZ7CVkw/XL9W1i8jf60fpkt99CQBQAam6+FevXp2VPKpq8Z8P16+qXjuoSkaNGhXjx49PjKluTwzLtgceeCA23njjxJiXXnopli1blqWMgFzo169fDBgwIDFm6dKlef8k27I8KUudCJTX8uXLo2/fvvHFF18kxjVu3Dhef/316Nq1a5Yyqz7UpPAv+XDeFVE1a5l8uHZV8boBpVu3bl2ccMIJ8eabbybG1a5dO1588cXYfffds5RZ9XD99dfHlltumRjz/vvvx+TJk7OUEZArPXv2jN/+9reJMevXr4+nnnoqSxlVjHoUyIQffvghhg8fnhjTv3//jL6RqjpTk0LNlA91W0TVrd3y4fpp2KqeNGwBAGnXqFGjxPGlS5dmJY8lS5YkjqfKM1fy4fpV1WsHVUmqJ4bVr18/TjjhhCxlUz01b9485ZehK1asiGHDhmUpIyBXbrjhhqhbt25izF//+tcsZVMxDRs2TBmjTgTKY/Xq1XH44YfH6NGjE+Pq168fr732Wuywww5Zyqx6UZPCv+TDeVdE1axl8uHaVcXrBmxYSUlJnHbaaTF48ODEuMLCwnjiiSeib9++Wcqs+qhTp07ceOONKePy/RwCSI/LLrssWrZsmRiT7/cD9SiQCY899lisX78+MeZXv/pVlrKpftSkUDPlQ90WUXVrt3y4fqmuXUFBQTRo0CDjeZBeGrYAgLRr3rx54vjixYuzkkeqdVLlmSv5cP2q6rWDqmLp0qXxwgsvJMYcffTR0bRp0yxlVH2dccYZKZscRo4cmaVsgFxp06ZNHHfccYkx7733Xqxbty5LGZVfrVq1okmTJokx6kSgrNauXRvHH398yqfY1q5dO/7617/G3nvvnaXMqic1KeTHeVdZ1snHWiYfrl1VvG7Ahl1wwQXx2GOPpYx74IEH4vjjj898QtXU4YcfHp06dUqMUf9BzVCvXr0466yzEmPGjRsXc+fOzVJG5aceBdKtpKQkHn300cSYPffcM7p27ZqljKonNSnUPKlqojVr1sTKlSsznkdVrd2qQt3btGnTKCoqyngepJeGLQAg7TbeeOPE8eLi4qzksWjRosTxVHnmSj5cv1Rr5Ou1g6ri+eefT/nklVNPPTVL2VRvjRo1ioMPPjgx5oMPPshSNkAuHXvssYnjS5Ysia+++ipL2VSMOhFIh/Xr18eAAQPi5ZdfTowrKiqKp59+Og455JAsZVZ9qUkhP+qYiKp5XpgP104NCNXDb3/727jnnntSxt1+++1x+umnZyGj6quwsDCOPvroxJgPP/wwS9kAuZbqXDIiv/9OqB4F0m3EiBExefLkxBjflVeemhRqnrLURGq30ql7yRQNWwBA2rVo0SJxfNWqVRkvYBcsWBCrV69OjMnXAjbV9Zs9e3bGc0i1Rr5eO6gqHnnkkcTxLl26xF577ZWlbKq/fffdN3F8woQJWcoEyKW99tor5dOmxo8fn6VsKkadCKTD2WefHU8//XRiTEFBQTz88MNxzDHHZCmr6k9NSk3nvLDi1IBAOtx4441x0003pYy75ppr4qKLLspCRtVfqvpv4cKFMWfOnCxlA+RSt27domXLlokx+XwuqR4F0i3Vd+WNGzd2LpkmalKoWVLVbRFqtyTqXjJFwxYAOdO9e/coKSmpVv/wLx06dEgZk+m/8Jdl/rLkmQup8srGYUmqNTp27JjxHMgf7tfpNX78+Bg9enRizK9+9asoKCjIUkbVX8+ePRPHV6xY4SCajHMvzb3GjRvH5ptvnhgzZcqU7CRTQepEajL30fS48MIL46GHHkoZd++998aAAQMyn1ANoialpnNeWHFqQKCy7rrrrvjd736XMu7SSy+Nq666KgsZ1Qyp6r+I/D+HANKnR48eieP5fD9QjwLpVFxcHIMHD06MOf7446NBgwZZyqh6U5NCzdKgQYOUDT2Zrt2WL18eS5YsSYzJ19pN3UumaNgCANKuUaNGKYv/qVOnZjSHVAcKLVu2jIYNG2Y0h4rq1KlT4nimr11E6uvXuXPnjOcA1VWqJ4YVFRX5cWyapbqvRkTMnTs384kAOZfqfpDv9wJ1IlAZv/vd7+LOO+9MGXfrrbfGOeeck/mEahg1KTWd88KKUwMClfHQQw/FwIEDU8add9558Yc//CHzCdUgrVu3jnr16iXGqP+g5qjK55LqUSCdnnnmmVi5cmVizKmnnpqlbKo/NSnUPLmu3coyf1m+L8mFXF+7CHVvdaVhCwDIiFTF4cSJEzO6/nfffZc4ns/Fa66vXUTVvn6Qz9auXRtPPPFEYsxBBx0Ubdu2zVJGNUPTpk1TxixfvjwLmQC5lup+kO/3glzXiUuWLEn5xZ06EfLT9ddfHzfeeGPKuGuuuSYuueSSLGRU86hJIfe1TFU978r1dYuoutcOaronn3wyzjrrrJRxp556atx9991ZyKjmadKkSeK4+g9qjqp8LqkeBdLpL3/5S+J4t27dYpdddslSNjWDmhRqllzXbqnqtlatWuXtWxRTXbtZs2bFsmXLMpqDurd60rAFAGREt27dEscnTJiQ0fVTzZ8qv1xKlduPP/4YCxYsyNj6ZZk/n68f5LOhQ4emfH21J4alX506dVLGrFmzJguZALmW6n6Q7/eCVDXYt99+GyUlJRlbP1WNXbdu3dh8880ztj5QMX/84x/jyiuvTBl3+eWXx1VXXZWFjGomNSk4L6woZ4VARbz44otxyimnpPw74gknnBAPPfRQFBQUZCmzmqWqn0MA6VOV7wfqUSBdPv/88xgzZkxijO/K068q/zcIKD9nsBW3xRZbpLxnZvL6lZSUpGyoy+frR+k0bAEAGdGzZ8/E8bFjx2Z0/VSHPD169Mjo+pXRqVOn2GijjRJjMnn9Ul27jTfeONq3b5+x9aE6S/XEsJYtW0a/fv2ylE3NsWLFipQx9evXz0ImQK6luh/k+72gR48eiT+iW7x4cUyaNClj66eqE7fZZpuoVatWxtYHyu/++++Piy++OGXc+eefHzfffHMWMqq51KTgvLCinBUC5fXqq6/GiSeeGOvWrUuMO+KII+KJJ56IwkI/G8mUqn4OAaRPVb4fqEeBdEn1XXmdOnXipJNOylI2NUdV/m8QUH7OYCuuTp06KRuiMnn9Jk6cGEuWLCl1vKCgILbffvuMrU/mOHkDADIiVfH/2WefpfyysKLWrl0bn3/+eWJMPhf/Eamv36effpqxtVPNne/XDvLV7Nmz4/XXX0+MOfnkk6N27dpZyqjmmD17dsqYRo0aZSETINdS3Q/y/V7QtGnT2GyzzRJj1InAvz366KNx3nnnpYw77bTT4q677spCRjWbmhScF1aGs0KgrN5444049thjUz4l/+CDD47nnnvOQzcyaPXq1bFw4cLEGPUf1BxV/VxSPQpU1qpVq+Lpp59OjDnssMOiRYsWWcqoZlCTQs2Tqm6bPn16zJ07N2PrV/XaLZ/r3i5dukSTJk0ytj6Zo2ELAMiIHXfcMerVq1fq+NKlSzNWwH788cexfPnyUsfr1asXO+ywQ0bWTpc99tgjcfztt9/O2NojR45MHE+VG7Bhjz/+eKxduzYx5tRTT81SNjXLd999lzJm0003zUImQK6luh9UhXuBOhEoi2effTZOO+20KCkpSYz75S9/GQ8++GDi2/tIDzUpOC+sDDUgUBZvv/12HHHEEbFq1arEuP322y8GDx4cderUyVJmNdOkSZNi/fr1iTHqP6g5qvq5pHoUqKxXXnklFixYkBjju/L0U5NCzdOuXbvo2LFjYkymareZM2fGt99+mxiT77WbupdM0LAFAGREvXr1Yvfdd0+MGT58eEbWfvPNNxPH99xzz8Qfh+SD/fffP3H83XffjdWrV6d93ZUrV8b777+fGHPAAQekfV2oCR599NHE8V69esVWW22VpWxqlo8++ihxvEWLFp4cBjXA1KlTY86cOYkxnTt3zlI2FZeqTsxUjT1t2rSYOHFiYkyq3IDsePnll+Pkk09O+UX80UcfHY899lgUFvqaIBvUpOC8sDKcFQKpfPDBB3HooYfGihUrEuP22GOPePXVV/P6nlddpKr/IiI6deqU+USAnFu1alV89tlniTH5fi6pHgUq65FHHkkcb9++ffTp0ydL2dQcalKomXL1fXKqM9gtttgiZTNZrqW6dt98803MmDEjI2unun7q3qrLN7EAQMakKhIHDx6ckXX/+te/Jo5XhUOeXXfdNRo3blzq+LJly+KNN95I+7rDhg1L/EK3adOmsfPOO6d9Xaju3n///ZgwYUJijCeGZc7QoUMTx7fbbrssZQLkUqp7QUTVuB/sv//+iW/C+e677+LLL79M+7qpauxu3bp5CiPkgddffz2OP/74lG927devXzzzzDNRVFSUpcxQk8K/OC+sGGeFQJJPP/00Dj744Fi6dGli3E477RRDhw6Nhg0bZimzmi1V/bfZZptp2Ica4q233kr59sN8/zuhehSojGnTpqX8EfqAAQM8WCoD1KRQM6U6g3311Vdj3bp1aV+3qp/BRvzrDWWpHradiTPsMWPGxOTJk0sdLygo8PDUKkyFAwBkzNFHH504PmbMmJQNDOX11VdfJf5AtaCgIGVe+aBWrVpx+OGHJ8Y888wzaV831ZxHHHFE1KpVK+3rQnWX6olhjRo1imOPPTZL2dQs33zzTXzyySeJMb169cpSNkAuPfHEE4nj7dq1i/bt22cpm4pr3bp17LHHHokxuagTjznmmLSvCZTPiBEj4sgjj0z5ROsDDjgg/vrXv0bt2rWzlBlqUvh/nBdWjLNCoDRffvllHHjggbFo0aLEuO233z7eeOONaNKkSZYyq9kWLFiQ8sex6j+oOVKdS9auXTt22mmnLGVTMepRoDIee+yxWL9+fanjBQUFccopp2Qxo5pBTQo1V9++faNBgwaljs+dOzdlI215LViwIGUDf1X5PjlVnrmoe/fee+9o2bJl2tclOzRsAQAZ06VLl9h1110TY+655560rnn33Xcnjvfq1avKvM77xBNPTBx/6aWXYubMmWlbb9q0aTFkyJBK5QT81NKlS+OFF15IjDnuuOM8uSpDbr755pQxBx54YBYyAXJp5MiR8dFHHyXGVKV7Qaqa7OGHH0588mx5jR49Oj799NNK5QRk1ujRo+Owww6LlStXJsbtvffeMWTIkKhbt26WMiNCTQr/zXlhxTkrBP6vb7/9Ng444ICYP39+YtzWW28dw4cPj4022ihLmXHXXXfF8uXLE2PUf1AzTJw4MeWbBvbaa6+oV69eljKqOPUoUBElJSXx6KOPJsbst99+0blz5yxlVHOoSaHmatSoURx22GGJMek+g33ggQcSHyjYvn372GuvvdK6ZqakqjE//PDD+Oc//5m29ZYtW5byQeDq3qpNwxYAkFG/+tWvEscfffTRmDVrVlrWmj59ejz55JOJMQMGDEjLWtmw//77J77lYc2aNXHrrbembb1bb7011q5dW+p4hw4dYt99903belBTPP/887Fs2bLEmFNPPTVL2dQso0ePTvnfhU033TR23333LGUE5MLq1avjggsuSBlXld50eOyxx0bDhg1LHf/xxx/joYceStt6N910U+L47rvvHptvvnna1gPK59NPP41DDjkkZc252267xd/+9reoX79+ljIjQk0KG+K8sGKcFQL/bcqUKdG7d++YM2dOYtwWW2wRb775ZmyyySZZyoxJkyalvB/XrVs3fv7zn2cpIyCXfv3rX8e6desSY6rKuaR6FKiIESNGxJQpUxJjfFeefmpSINUZ7LBhw+Kzzz5Ly1pLly5N2QB28sknR0FBQVrWy7Qtt9wy5RsIb7jhhrSt98ADD8TChQtLHW/YsGEcffTRaVuP7NOwBQBk1EknnZT4Otbly5fHFVdckZa1Lr/88sSnibdq1SpOOumktKyVDUVFRTFw4MDEmPvuuy8mTJhQ6bXGjRsXDzzwQGLMhRdeGEVFRZVeC2qav/zlL4njP/vZz2K33XbLUjY1x/z58+MXv/hFlJSUJMaddtppVeZQCKiYiy66KL788svEmC5dukTv3r2zlFHlbbTRRikP2a+99tqUT1kvi+HDh8ff/va3xJhLLrmk0usAFfPVV1/FgQceGIsWLUqM22GHHeL111/3VtcsU5PChjkvrBhnhcC/zZw5M3r37h3Tp09PjOvUqVOMGDEi2rRpk6XMWLlyZRx33HEp33p9/PHHR+PGjbOUFZArt912W/z9739PjGnSpEkcd9xxWcqoctSjQEWk+q58o402iiOOOCJL2dQMalIgIuKAAw6I7bbbrtTxkpKSlLVdWd10000xe/bsUsfr1q0b559/flrWypaLL744cfyVV16JkSNHVnqdefPmxXXXXZcYc9ppp0WzZs0qvRa5o2ELAMioevXqpXyjwRNPPBEvv/xypdZ54YUX4plnnkmMGThwYNStW7dS60T868mVBQUFif9cffXVlV4nIuKMM86I5s2blzq+Zs2a+OUvf5n4SuFUVq1aFb/85S8Tn1DWvHnzOO200yq8BtRU48ePjw8++CAxJl+eGJbpe9uqVavS+krwJAsXLowDDzwwpk6dmhjXsGHDKncoBNXBRx99lFh3pNN1110X9913X8q4Sy+9NC1f7r/99tsp76WPPfZYpdeJ+Nchce3atUsdX7BgQaX/G7NgwYKUjWFbbbWVJzBCjkycODEOOOCAlM2Z2223XfzjH/+Ipk2bZimzilOTQs1Q3c4LnRUC2TRv3rzo3bt3TJo0KTGuXbt2MWLEiGjXrl2WMqu4VPfQyr4J8f33309PoimsXLkyjjrqqJT1ZkFBQVx++eVZyQn4X2PGjEn54/V0efzxx+Oyyy5LGXfOOedU+u/r6lEgXxUXF6f8u/2JJ54Y9erVy1JGpVOTAtVRqn/P33nnnbjjjjsqtcbo0aPjD3/4Q2LMgAEDolWrVpVa598yfb/+t8MPPzy23HLLxJhTTjkliouLK7xGSUlJnHLKKYkPZaxdu3ZcdNFFFV6D/KBhCwDIuIEDB0b79u0TY/r37x8ff/xxheb/8MMPU/4YtWPHjil/CJKPGjVqFNdcc01izD//+c845ZRTYv369eWef926ddG/f/8YO3ZsYtx1113nSexQAameGFa7du0q8yTvylqxYkXstNNOZTogroyPP/44evbsGZ9++mnK2N///vex8cYbZywXYMNuuumm2HrrrePxxx+v1Bf3SZYsWRLHH398XHXVVSljt9lmm7xpni2Pjh07xq9//evEmCFDhlT47RTLly+PI444IuUT22+//XZvhYEcmDZtWuy///6JTyyM+NfbXIcPH574Y6qaRE0K+cN5YcU4K4Sarbi4OPr06RPjx49PjGvdunWMGDEiOnfunKXM8lu/fv2id+/eMWLEiIytMXHixNh1111j2LBhKWPPOOOM+NnPfpaxXIDSPfHEE9GlS5e4++67Y9myZRlZY/Xq1TFw4MAYMGBAyrctt2rVqsr9WF49CpTH008/nfjW64j8ebhppqlJgVw44YQTYqeddkqMufzyy+O1116r0PwTJ06Mo48+OrHRvnHjxml7eEA2FRYWxm233ZYYM3Xq1DjyyCMr/FCISy+9NIYOHZoYM3DgwOjQoUOF5id/aNgCADKuQYMG8cc//jExZsmSJdGnT5/429/+Vq65hwwZEgceeGAsXbo0Me7222+P+vXrl2vufHH22WcnvqI4IuKZZ56Jo48+OhYvXlzmeRctWhRHHnlkPP/884lx22+/fZx55pllnhf4l7Vr18aTTz6ZGHPooYdGy5Yts5RRfhg8eHDstNNOsddee8Xjjz+e8v5dVsXFxXHttdfGnnvuGVOmTEkZv91226V8hTmQORMnTowBAwZEp06d4sorr4zvvvsuLfOWlJTEq6++GjvssEPKGicioqioKB588MGoVatWWtbPtkGDBkWbNm0SY2655ZY455xzytUcN3PmzNh///3j3XffTYzr169fHHLIIWWeF0iP2bNnx/777x/Tpk1LjNt8883jzTffrHH1ZlmoSSH3nBdWnLNCqJmWLl0aBx98cHz22WeJcS1atIi33nortthii+wkVkWMGDEievfuHd27d4/77rsvFixYkJZ5V6xYEffcc0/ssMMO8fnnn6eMb9u2bdx0001pWRuomFmzZsUFF1wQ7du3jwsvvLBM/+6W1TvvvBN77LFH3HXXXWWKv/vuu6NZs2ZpWz9b1KNAWT3yyCOJ4z179ozu3btnJ5k8oCYFsq2goCDuvffexIdvrlmzJo455ph4+OGHyzX3qFGjYu+9945Zs2Ylxg0aNChat25drrnzRb9+/aJv376JMSNHjow+ffqkvA7/bdWqVXHGGWfE7bffnhjXpk2buPLKK8s8L/mrav4aBQCquaFDh5ariIuImDBhQuL40qVLy11YR0T07ds35Y9Ay+Loo4+OX/ziF/HMM8+UGrNo0aI47LDD4oQTTogrr7wyttpqq1Jjx40bF9dee22Zfoh74oknxlFHHVWhvPNBUVFRPPnkk7HLLrskPn3o5Zdfjk8++SSuu+66OP7440t9bfyKFSvimWeeiUGDBsWMGTMS165fv348+eSTUVRUVKk9QE30t7/9LebMmZMYU1OeGLYh7733Xrz33ntx9tlnR+/evePggw+OPfbYI7bZZpsoLCzbs0XWrl0bn376aTz//PPx5z//ucw/tG3WrFkMHjw4ateuXZktAGkwa9asuP766+P666+P7bffPvr16xf77rtv7LzzztG4ceMyzzN16tT4+9//HnfddVd88803Zf7cH/7wh+jVq1dFUs8LjRs3jkcffTQOPvjgxCf2/ulPf4qRI0fGjTfeGIcddliptd2iRYvi4YcfjhtuuCEWLlyYuPYmm2wSDz74YKXyByrmgAMOiIkTJybGFBQUxAknnFCmp6mmS9euXWOvvfbK2nrpoCaF3HJeWDHOCqFmOuGEE+LDDz9MGXfcccfF6NGjY/To0VnI6l8/Hkr146V88vnnn8d5550XF154Yey5557Rt2/f2HPPPaN79+5lrsvWr18fX375Zbz88stx3333xY8//limz9WpUyf++te/xkYbbVSZLQBpsnDhwrjzzjvjzjvvjK5du0a/fv1iv/32i912261cb6mePXt2vPXWW3H33XeX6+2w559/fhx77LEVST3n1KNAWXz++ecxZsyYxJia+l25mhTy27vvvhvffvttuT4zf/78lDEV+d3m3nvvXekHsuy8887xm9/8Jm688cZSY1atWhWnn356vPTSS3HttdcmvpVr6tSpccstt8Sf//znxDdrRfwr/4EDB1Y09bzw0EMPRffu3WPevHmlxrz//vuxzTbbxO9///s47bTTSv2dw9q1a2PIkCHxu9/9LuVvfQsLC+Oxxx4r128myF8FJanevwwAZN0+++wT77zzTq7TiIh/PQVgn332SctcS5cujR133DFlwflvPXr0iF69ekXnzp2jUaNGsWTJkpg8eXKMGjWqzE8722qrreKTTz6JRo0aVSb1/zFlypTo3LlzYsygQYPS/jrfhx9+OE4//fQyxTZr1iz23Xff2H777aNFixZRUlISP/74Y3z++ecxYsSIMj/N7OGHH66xh2RQWYcddljia8M33XTTmDp1at58qZTpe1txcXGZDn4bNmwYW265ZXTt2jXatm0bLVu2jAYNGkTdunVj2bJlsWDBgpg/f3589913MXr06Fi2bFm58mjYsGEMHTo09t577wrtA6i8ww8/PIYMGZIYU1hYGJ07d46tttoqOnToEK1bt46mTZtG3bp1Y926dbFgwYJYsGBBzJ49O0aPHp3yLTMbct5558U999xT0W1s0Ntvvx377rtvYsyjjz4aAwYMSOu6v//97+OGG24oU2yrVq1i3333jW222SaaN28ea9asiblz58aYMWNi5MiRiT+y+LeioqIYNmxY9OnTp7KpAxWQ9CTEXOrfv3889thjlZpDTQo1T3U4L3RWCGRDp06dYurUqblO4yf23nvvePvttys1R6r6trJ1ZrNmzWLRokWJMXXr1o2uXbvGlltuGZtuumm0atUqGjVqFHXr1o0VK1b85xxiypQp8f7770dxcXG5cigqKoqnnnoqjj/++ArvA6i8gQMHpnz7VUFBQbRv3z622mqr6NSpU7Ru3To22mijqFu3bkT8q9Fr/vz5MW/evPjoo4/K/WPeiH+dj7744otRq1Z6nrOuHgXy0a9//evE72Dq1asXs2bNyps3DapJgX8bMGBAPP7447lOIyLS973yunXrYr/99ot33323TPFbbbVV7LnnnrHFFltEkyZNYtmyZfHDDz/ERx99FB9++GHig0T/rWXLljF27Nho27ZtZdP/H5m+X2/IG2+8EYccckisX78+ZWz9+vVj3333jR49ekSrVq2iqKgoFixYEF9++WWMHDkysfHrv/3+97+P6667rrKpkye8YQsAyJpGjRrFG2+8EXvuuWf88MMPKePHjh0bY8eOrfB6HTp0iDfeeCOtzVq5dNppp8UPP/wQ1157bcrY4uLi/6+9+wvNuvoDOP7RMd1Wa81yoU0lW+LfaZKVILQlOaOgSCmIcrWsLiSxbgqi1LqwmwoFQUvLIYGhoBfhn9SJKIQsLXXqo2j+a2KFVg43THK/ix/5gyiV/c6zPbrXC7zawznnYeAOh+/7e2L16tWxevXqDs83Z84cB97QQadPn45169Zd8TMvvPBCzsRaueT8+fOxa9euq75xrSNKS0tjzZo1193ND9AdXbp0KY4cORJHjhzJyvhvvPFGfPjhh1kZuyu8//770dzcfE2Hzz/99FOsWLGiw3P16NEjlixZItYCbmj2pNB5nBd2nLNCgHQuXLgQe/fujb179yYfu6CgIOrr66/bm3Sgu2lvb48TJ0506AVR1+KZZ56J5cuXJ4u1upL9KPBvLly4EF988cUVPzNlypScibVyhT0pkC15eXmxZs2aqK6uvqaXXmUymchkMh2e79Zbb40NGzYkj7W6Sk1NTXz66acxffr0q8ZqbW1tsXbt2li7dm2H53vxxRevaY/N9aNnVy8AAOheBg0aFA0NDXH33XdndZ6KiopoaGiIgQMHZnWezjZ37tx49913sz7P7NmzY/bs2VmfB25U9fX1V7z6u0ePHlFXV9eJK6KysjIaGxs9GAvdXGFhYSxbtuyGirUi/hdRZftvS35+fnzyySfJbwgD6C7sSeGfOS/sOGeFALlt4MCBsW3bNg/GApGXlxfz5s2LFStWRH5+flcvJxn7UeCfrFmzJs6ePXvFzwgwO489KRDx35fJbdy4Me67776szlNWVhYbNmyIMWPGZHWezlZXVxeLFy/O+osXXnrppViyZMlVbxLj+iLYAgA6XUVFRTQ2NkZNTU1Wxp88eXI0NjZm/SGPrjJ37tz48ssvs/Im4JtvvjlWrlwZc+bMST42dCefffbZFX9eVVUVgwcP7qTVdG8FBQXx3nvv3dB/F4BrU1NTE01NTVFbW9vVS8mKvLy8WLp0aXz88cdZeeijrKwsNm3aFNOnT08+NsCNzp4Urs55Ycc5KwTIPXl5eTFz5sxoamrK+sNwQO4bN25cfPvtt/HWW2919VKywn4U+LulS5de8eeDBw+OqqqqzllMN2ZPCvxd3759Y9u2bTFt2rSsjP/Xvvf+++/Pyvhd7eWXX46NGzdGWVlZ8rHz8/NjwYIFsWTJkujZU95zo/EbBQC6RGlpaaxfvz6WLVuWbBNbVlYW9fX1sW7duhv+6vSnn346Dhw4EFOmTEk25tSpU+PAgQMxderUZGNCd7R9+/Y4dOjQFT/THd8Y1rt373j44YejsLCwU+YrKiqKmTNnxuHDh+Odd96JXr16dcq8wNWNHz8++vfv32nzVVVVxaZNm2L9+vXdIpadNWtW7N69O6qrq5OM17Nnz3j11Vcjk8m4EQa47tmTQm5zXthxzgoB/t0jjzwSt9xyS6fMlZ+fH9OmTYv9+/fH/Pnzo7i4uFPmBa7Nvffe26nng2PHjo1Vq1bFjh07brgbBv7OfhT4y4kTJ2Lz5s1X/ExdXV23uznEnhTIFQUFBVFfXx9fffVVsr1xcXFxfPTRR/HNN9/EgAEDkoyZq6qqquLAgQPxyiuvJAurqqurY/fu3fHaa68lGY/cI9gCALpUbW1t/PDDD7Fw4cIYNmxYh8YYPnx4LFy4MI4ePZq1N0DkovLy8li1alXs3LkznnvuuQ49cFZYWBjPP/987Nq1K1auXBnl5eVZWCl0L1d7Y1hJSUk89dRTnbSa3FFYWBibN2+O3377LbZu3Rpz5syJSZMmJX3zTFFRUUyePDmWLl0ap0+fjvnz58edd96ZbHwgjTfffDOam5vj4MGDsWjRonj22Wdj6NChyQ40e/ToEaNGjYq33347Dh48GFu2bImJEycmGft6MWzYsGhoaIgtW7bEE0880aEbt0pKSmLGjBmRyWRi0aJFUVpamoWVAnQue1K4Pjgv7BhnhQD/bOXKlXH27NnYsWNHfPDBB/H4448n3Z/16tUrHnrooViwYEGcOnUq6uvrY8iQIcnGB9Kpra2NI0eOxPHjx2PZsmVRV1cXlZWVSW+rr6ioiFmzZsXOnTtj586dMWXKlG4TJdiPAhERn3/+eVy6dOlff96zZ8+ora3txBXlBntSINc89thjkclkYvny5TFu3LgOjTFo0KCYN29eHDt2LF5//fXIy8tLvMrc1KdPn1i8eHFkMpmYMWNGh4Lc/Pz8ePLJJ2PLli3R0NDQ4XNwrg892tvb27t6EQAAfzl06FCsX78+du3aFfv27Yvm5uZoaWmJ1tbWKCoqiuLi4igvL4/hw4fH2LFj49FHH4177rmnq5edE9ra2qKhoSG2bt0aTU1NcejQofj111+jpaUlIv77Nos+ffrEkCFDYsSIEVFVVRXV1dWd9mZxgH9z6tSp+P777yOTycTJkycv//vll1+itbU1Wltbo62tLdrb26OgoCCKioqib9++0b9//7jrrrti1KhRMWbMmHjggQfcWgDXsdbW1tizZ0/s3bs3jh07FidPnowff/wxTp06dXk/2NbWFhcvXoxevXpFQUFBlJaWRr9+/WLAgAExfPjwqKysjPHjx8cdd9zR1V8np5w7dy6+/vrr2L59e+zbty8OHz4cv//+e7S0tEReXl4UFxfHbbfdFkOHDo2RI0fGxIkTY8KECUkfVgHIdfakkLucF3aMs0KAKztz5kx89913sX///jhx4sTl/d/PP/8c58+fv7wHbG9vj969e0dhYWHcfvvt0b9//xg0aFCMHDkyRo8eHePHj4+bbrqpq78O8H/4448/oqmpKfbs2RNHjx69/P9Bc3NznDt3Ltra2qK1tTUuXLhw+VyypKQk+vXrF+Xl5TF06NCorKyMBx98MAYOHNjVXydn2I8CXJ09KZArTp48GevWrYvGxsbYv39/HD9+PM6dOxetra3Ru3fvKC4ujn79+sWwYcNizJgxUVNTE6NHj+7qZeeEixcvxrZt26KhoSGampoik8nEmTNnoqWlJf78888oLi6OkpKSqKioiBEjRsSECRNi0qRJnXbzIl1PsAUAAAAAAAAAAAAAAACQSM+uXgAAAAAAAAAAAAAAAADAjUKwBQAAAAAAAAAAAAAAAJCIYAsAAAAAAAAAAAAAAAAgEcEWAAAAAAAAAAAAAAAAQCKCLQAAAAAAAAAAAAAAAIBEBFsAAAAAAAAAAAAAAAAAiQi2AAAAAAAAAAAAAAAAABIRbAEAAAAAAAAAAAAAAAAkItgCAAAAAAAAAAAAAAAASESwBQAAAAAAAAAAAAAAAJCIYAsAAAAAAAAAAAAAAAAgEcEWAAAAAAAAAAAAAAAAQCKCLQAAAAAAAAAAAAAAAIBEBFsAAAAAAAAAAAAAAAAAiQi2AAAAAAAAAAAAAAAAABIRbAEAAAAAAAAAAAAAAAAkItgCAAAAAAAAAAAAAAAASESwBQAAAAAAAAAAAAAAAJCIYAsAAAAAAAAAAAAAAAAgEcEWAAAAAAAAAAAAAAAAQCKCLQAAAAAAAAAAAAAAAIBEBFsAAAAAAAAAAAAAAAAAiQi2AAAAAAAAAAAAAAAAABIRbAEAAAAAAAAAAAAAAAAkItgCAAAAAAAAAAAAAAAASESwBQAAAAAAAAAAAAAAAJCIYAsAAAAAAAAAAAAAAAAgEcEWAAAAAAAAAAAAAAAAQCKCLQAAAAAAAAAAAAAAAIBEBFsAAAAAAAAAAAAAAAAAiQi2AAAAAAAAAAAAAAAAABIRbAEAAAAAAAAAAAAAAAAkItgCAAAAAAAAAAAAAAAASESwBQAAAAAAAAAAAAAAAJCIYAsAAAAAAAAAAAAAAAAgEcEWAAAAAAAAAAAAAAAAQCKCLQAAAAAAAAAAAAAAAIBEBFsAAAAAAAAAAAAAAAAAiQi2AAAAAAAAAAAAAAAAABIRbAEAAAAAAAAAAAAAAAAkItgCAAAAAAAAAAAAAAAASESwBQAAAAAAAAAAAAAAAJCIYAsAAAAAAAAAAAAAAAAgEcEWAAAAAAAAAAAAAAAAQCKCLQAAAAAAAAAAAAAAAIBEBFsAAAAAAAAAAAAAAAAAiQi2AAAAAAAAAAAAAAAAABIRbAEAAAAAAAAAAAAAAAAkItgCAAAAAAAAAAAAAAAASESwBQAAAAAAAAAAAAAAAJCIYAsAAAAAAAAAAAAAAAAgEcEWAAAAAAAAAAAAAAAAQCKCLQAAAAAAAAAAAAAAAIBEBFsAAAAAAAAAAAAAAAAAiQi2AAAAAAAAAAAAAAAAABIRbAEAAAAAAAAAAAAAAAAkItgCAAAAAAAAAAAAAAAASESwBQAAAAAAAAAAAAAAAJCIYAsAAAAAAAAAAAAAAAAgEcEWAAAAAAAAAAAAAAAAQCKCLQAAAAAAAAAAAAAAAIBEBFsAAAAAAAAAAAAAAAAAiQi2AAAAAAAAAAAAAAAAABIRbAEAAAAAAAAAAAAAAAAkItgCAAAAAAAAAAAAAAAASESwBQAAAAAAAAAAAAAAAJCIYAsAAAAAAAAAAAAAAAAgEcEWAAAAAAAAAAAAAAAAQCKCLQAAAAAAAAAAAAAAAIBEBFsAAAAAAAAAAAAAAAAAiQi2AAAAAAAAAAAAAAAAABIRbAEAAAAAAAAAAAAAAAAkItgCAAAAAAAAAAAAAAAASESwBQAAAAAAAAAAAAAAAJDIfwBAybS2UniuKwAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 3840x2880 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def polynomial_ridge_regression(data, degree=3):\n",
    "    # 生成多项式特征并进行线性回归\n",
    "    model = make_pipeline(PolynomialFeatures(degree), Ridge(alpha=0.5))\n",
    "    model.fit(data[:, 0].reshape(-1, 1), data[:, 1])\n",
    "    y_pred = model.predict(data[:, 0].reshape(-1, 1))\n",
    "    \n",
    "    # 输出拟合后的多项式\n",
    "    coef = model.named_steps['ridge'].coef_\n",
    "    intercept = model.named_steps['ridge'].intercept_\n",
    "    poly_features = model.named_steps['polynomialfeatures']\n",
    "    feature_names = poly_features.get_feature_names_out(['x'])\n",
    "    \n",
    "    polynomial = \" + \".join(f\"{coef[i]:.2f}*{feature_names[i]}\" for i in range(len(coef)))\n",
    "    polynomial = f\"{intercept:.2f} + \" + polynomial\n",
    "    print(f\"拟合后的多项式: {polynomial}\")\n",
    "    \n",
    "    # 计算并输出损失\n",
    "    loss = mean_squared_error(data[:, 1], y_pred)\n",
    "    print(f\"损失: {loss:.2f}\")\n",
    "\n",
    "    # 绘制拟合结果\n",
    "    plt.figure(dpi=600)\n",
    "    plt.scatter(data[:, 0], data[:, 1], label='original data')\n",
    "    plt.plot(data[:, 0], y_pred, label='fit curve', color='red')\n",
    "    plt.legend()\n",
    "    plt.show()\n",
    "\n",
    "polynomial_ridge_regression(data)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "pt",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.14"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}