214 lines
5.2 KiB
Plaintext
214 lines
5.2 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 1,
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"metadata": {},
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"outputs": [],
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"source": [
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"import numpy as np\n",
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"import matplotlib.pyplot as plt\n",
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"from matplotlib.patches import Polygon\n",
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"import matplotlib.font_manager as fm\n",
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"\n",
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"# 设置中文字体\n",
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"plt.rcParams['font.sans-serif'] = ['SimHei'] # 用来正常显示中文标签\n",
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"plt.rcParams['axes.unicode_minus'] = False # 用来正常显示负号\n",
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"\n",
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"# 生成随机种群\n",
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"np.random.seed(42)\n",
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"n_points = 50\n",
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"points = np.random.rand(n_points, 2) * 10\n",
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"\n",
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"# 识别帕累托前沿\n",
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"def is_pareto_efficient(costs):\n",
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" is_efficient = np.ones(costs.shape[0], dtype=bool)\n",
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" for i, c in enumerate(costs):\n",
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" if is_efficient[i]:\n",
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" is_efficient[is_efficient] = np.any(costs[is_efficient] < c, axis=1) # Remove dominated points\n",
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" is_efficient[i] = True\n",
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" return is_efficient\n",
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"\n",
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"# 获取帕累托前沿点\n",
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"pareto_front_mask = is_pareto_efficient(points)\n",
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"pareto_front = points[pareto_front_mask]\n",
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"\n",
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"# 创建图形\n",
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"plt.figure(figsize=(10, 8))\n",
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"\n",
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"# 绘制非帕累托前沿点\n",
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"plt.scatter(points[~pareto_front_mask, 0], points[~pareto_front_mask, 1], \n",
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" c='lightgray', s=100, label='种群个体')\n",
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"\n",
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"# 绘制帕累托前沿点\n",
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"plt.scatter(pareto_front[:, 0], pareto_front[:, 1], \n",
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" c='red', s=100, label='帕累托前沿个体')\n",
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"\n",
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"# 连接帕累托前沿点\n",
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"sorted_front = pareto_front[np.argsort(pareto_front[:, 0])]\n",
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"plt.plot(sorted_front[:, 0], sorted_front[:, 1], 'r--', alpha=0.5)\n",
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"\n",
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"# 添加密度分布示意\n",
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"for point in pareto_front:\n",
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" circle = plt.Circle(point, 0.5, color='blue', fill=False, alpha=0.2)\n",
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" plt.gca().add_patch(circle)\n",
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"\n",
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"# 添加箭头和标注\n",
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"plt.arrow(8, 8, -0.5, -0.5, head_width=0.2, head_length=0.2, fc='k', ec='k')\n",
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"plt.text(8.2, 8.2, '优化方向', fontsize=20)\n",
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"\n",
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"# 设置标题和标签\n",
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"# plt.title('帕累托前沿维护策略示意图', fontsize=14, pad=20)\n",
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"plt.xlabel('算法性能指标', fontsize=20)\n",
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"plt.ylabel('运行时间', fontsize=20)\n",
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"\n",
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"# 添加图例\n",
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"plt.legend(loc='upper right', fontsize=20)\n",
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"\n",
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"# 添加网格\n",
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"plt.grid(True, linestyle='--', alpha=0.3)\n",
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"\n",
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"# 设置坐标轴范围\n",
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"plt.xlim(-0.5, 11)\n",
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"plt.ylim(-0.5, 11)\n",
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"\n",
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"# 保存图片\n",
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"plt.savefig('pareto_front_strategy.png', dpi=300, bbox_inches='tight')\n",
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"plt.close() "
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"text1 = '''贪心\n",
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"回溯\n",
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"高度优先\n",
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"图着色\n",
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"颜色分配\n",
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"\n",
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"饱和度优先\n",
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"回溯\n",
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"相邻顶点\n",
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"图着色\n",
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"颜色约束\n",
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"\n",
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"贪心\n",
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"回溯\n",
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"高度优先\n",
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"使用次数\n",
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"颜色选择\n",
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"\n",
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"贪心\n",
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"相邻未着色\n",
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"颜色选择\n",
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"冲突减少\n",
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"图着色\n",
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"\n",
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"饱和度优先\n",
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"动态更新\n",
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"可用颜色\n",
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"相邻顶点\n",
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"图着色\n",
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"\n",
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"饱和度\n",
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"度数选择\n",
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"相邻顶点\n",
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"颜色使用\n",
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"图着色\n",
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"\n",
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"动态更新\n",
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"可用颜色\n",
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"相邻冲突\n",
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"图着色\n",
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"颜色选择\n",
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"\n",
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"饱和度优先\n",
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"动态更新\n",
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"相邻顶点\n",
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"颜色选择\n",
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"图着色\n",
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"'''\n",
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"text2 = '''\n",
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"贪心\n",
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"度数排序\n",
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"颜色分配\n",
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"图着色\n",
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"最低可用颜色\n",
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"\n",
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"优化\n",
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"优先队列\n",
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"颜色分配\n",
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"贪心\n",
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"图着色\n",
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"\n",
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"度数排序\n",
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"邻居检查\n",
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"最小颜色\n",
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"图着色\n",
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"贪心\n",
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"\n",
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"修改贪心\n",
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"邻居历史\n",
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"颜色最小化\n",
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"图着色\n",
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"颜色选择\n",
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"\n",
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"Welsh-Powell\n",
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"度数排序\n",
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"颜色分配\n",
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"贪心\n",
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"图着色\n",
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"\n",
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"贪心\n",
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"迭代着色\n",
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"相邻约束\n",
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"图着色\n",
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"颜色选择\n",
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"\n",
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"Welsh-Powell\n",
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"贪心\n",
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"降序着色\n",
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"图着色\n",
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"颜色分配\n",
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"\n",
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"贪心\n",
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"度数优先\n",
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"最小颜色\n",
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"相邻约束\n",
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"图着色'''"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": []
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}
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],
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"metadata": {
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"kernelspec": {
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"display_name": "lead",
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"language": "python",
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"name": "python3"
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},
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"language_info": {
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"codemirror_mode": {
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"name": "ipython",
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"version": 3
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},
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"file_extension": ".py",
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"mimetype": "text/x-python",
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"name": "python",
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"nbconvert_exporter": "python",
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"pygments_lexer": "ipython3",
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"version": "3.11.11"
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}
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},
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"nbformat": 4,
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"nbformat_minor": 2
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}
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