{"id":116420,"date":"2026-10-21T10:48:38","date_gmt":"2026-10-21T02:48:38","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/116420.html"},"modified":"2026-10-21T10:48:38","modified_gmt":"2026-10-21T02:48:38","slug":"%e5%8c%ba%e9%97%b4%e9%97%ae%e9%a2%98%ef%bc%9a%e5%90%88%e5%b9%b6%e3%80%81%e8%a6%86%e7%9b%96%e4%b8%8e%e8%b0%83%e5%ba%a6","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/116420.html","title":{"rendered":"\u533a\u95f4\u95ee\u9898\uff1a\u5408\u5e76\u3001\u8986\u76d6\u4e0e\u8c03\u5ea6"},"content":{"rendered":"<h2>\u533a\u95f4\u95ee\u9898&#xff1a;\u5408\u5e76\u3001\u8986\u76d6\u4e0e\u8c03\u5ea6<\/h2>\n<h3>\u6458\u8981<\/h3>\n<p>\u65f6\u95f4\u6bb5\u3001\u4f1a\u8bae\u5b89\u6392\u3001\u65e5\u5fd7\u7a97\u53e3\u3001\u5e93\u5b58\u6279\u6b21\u548c\u4e8c\u7ef4\u5750\u6807\u8303\u56f4&#xff0c;\u90fd\u53ef\u4ee5\u62bd\u8c61\u4e3a\u533a\u95f4\u95ee\u9898\u3002\u533a\u95f4\u9898\u770b\u4f3c\u53d8\u5316\u5f88\u591a&#xff0c;\u4f46\u6838\u5fc3\u901a\u5e38\u662f\u5148\u6392\u5e8f&#xff0c;\u518d\u7ef4\u62a4\u5df2\u7ecf\u5904\u7406\u90e8\u5206\u7684\u8fb9\u754c\u3002\u672c\u6587\u4ecb\u7ecd\u533a\u95f4\u7684\u95ed\u5f00\u8fb9\u754c\u3001\u5408\u5e76\u533a\u95f4\u3001\u63d2\u5165\u65b0\u533a\u95f4\u3001\u79fb\u9664\u91cd\u53e0\u533a\u95f4\u3001\u6700\u5c11\u8d44\u6e90\u8c03\u5ea6\u548c\u6700\u5c11\u5c04\u7bad\u6570\u91cf&#xff0c;\u5e76\u5206\u6790\u6392\u5e8f\u89c4\u5219\u4e3a\u4f55\u4f1a\u968f\u76ee\u6807\u53d8\u5316\u3002<\/p>\n<h3>\u4e00\u3001\u80cc\u666f\u4e0e\u95ee\u9898<\/h3>\n<p>\u533a\u95f4\u5e38\u5199\u4e3a [start, end]&#xff0c;\u6700\u5e38\u89c1\u7684\u64cd\u4f5c\u5305\u62ec&#xff1a;<\/p>\n<ul>\n<li>\u5408\u5e76\u6240\u6709\u53d1\u751f\u91cd\u53e0\u7684\u533a\u95f4&#xff1b;<\/li>\n<li>\u5224\u65ad\u65b0\u65f6\u95f4\u6bb5\u662f\u5426\u51b2\u7a81&#xff1b;<\/li>\n<li>\u9009\u62e9\u6700\u591a\u4e92\u4e0d\u91cd\u53e0\u7684\u6d3b\u52a8&#xff1b;<\/li>\n<li>\u8ba1\u7b97\u81f3\u5c11\u9700\u8981\u591a\u5c11\u4f1a\u8bae\u5ba4\u6216\u670d\u52a1\u5b9e\u4f8b&#xff1b;<\/li>\n<li>\u4f7f\u7528\u6700\u5c11\u70b9\u3001\u6700\u5c11\u64cd\u4f5c\u8986\u76d6\u5168\u90e8\u533a\u95f4\u3002<\/li>\n<\/ul>\n<p>\u5982\u679c\u9010\u4e00\u6bd4\u8f83\u6bcf\u4e00\u5bf9\u533a\u95f4&#xff0c;\u901a\u5e38\u9700\u8981 O(n\u00b2) \u65f6\u95f4\u3002\u5c06\u533a\u95f4\u6309\u8d77\u70b9\u6216\u7ec8\u70b9\u6392\u5e8f\u540e&#xff0c;\u8bb8\u591a\u95ee\u9898\u53ef\u4ee5\u5728\u7ebf\u6027\u626b\u63cf\u4e2d\u5b8c\u6210&#xff0c;\u6574\u4f53\u590d\u6742\u5ea6\u964d\u4e3a O(n log n)\u3002<\/p>\n<h3>\u4e8c\u3001\u6838\u5fc3\u6982\u5ff5<\/h3>\n<h4>1. \u95ed\u533a\u95f4\u3001\u5f00\u533a\u95f4\u4e0e\u76f8\u63a5<\/h4>\n<p>\u533a\u95f4\u8bed\u4e49\u5fc5\u987b\u5148\u8bf4\u6e05\u695a&#xff1a;<\/p>\n<table>\n<tr>\u8868\u793a\u793a\u4f8b[1, 3] \u4e0e [3, 5] \u662f\u5426\u91cd\u53e0<\/tr>\n<tbody>\n<tr>\n<td>\u95ed\u533a\u95f4<\/td>\n<td>[start, end]<\/td>\n<td>\u91cd\u53e0&#xff0c;\u4e8c\u8005\u5171\u4eab\u70b9 3<\/td>\n<\/tr>\n<tr>\n<td>\u534a\u5f00\u533a\u95f4<\/td>\n<td>[start, end)<\/td>\n<td>\u4e0d\u91cd\u53e0&#xff0c;\u524d\u8005\u4e0d\u5305\u542b 3<\/td>\n<\/tr>\n<tr>\n<td>\u5e26\u7f13\u51b2\u7684\u9884\u7ea6<\/td>\n<td>[start, end &#043; buffer)<\/td>\n<td>\u53d6\u51b3\u4e8e\u7f13\u51b2\u89c4\u5219<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u672c\u6587\u5408\u5e76\u533a\u95f4\u9ed8\u8ba4\u4f7f\u7528\u95ed\u533a\u95f4&#xff0c;\u56e0\u6b64 next_start &lt;&#061; current_end \u65f6\u5408\u5e76\u3002\u4f1a\u8bae\u5ba4\u8c03\u5ea6\u4f7f\u7528\u534a\u5f00\u65f6\u95f4\u6bb5&#xff0c;\u7ed3\u675f\u65f6\u523b\u7684\u4f1a\u8bae\u5ba4\u53ef\u7acb\u5373\u7ed9\u5f00\u59cb\u65f6\u523b\u7684\u4e0b\u4e00\u573a\u4f1a\u8bae\u4f7f\u7528\u3002<\/p>\n<h4>2. \u533a\u95f4\u9898\u5e38\u89c1\u6392\u5e8f\u89c4\u5219<\/h4>\n<table>\n<tr>\u76ee\u6807\u5e38\u89c1\u6392\u5e8f\u626b\u63cf\u72b6\u6001<\/tr>\n<tbody>\n<tr>\n<td>\u5408\u5e76\u6216\u63d2\u5165<\/td>\n<td>\u8d77\u70b9\u5347\u5e8f<\/td>\n<td>\u5f53\u524d\u5408\u5e76\u533a\u95f4\u7684\u53f3\u8fb9\u754c<\/td>\n<\/tr>\n<tr>\n<td>\u9009\u62e9\u6700\u591a\u4e0d\u91cd\u53e0\u533a\u95f4<\/td>\n<td>\u7ec8\u70b9\u5347\u5e8f<\/td>\n<td>\u5df2\u9009\u533a\u95f4\u7684\u6700\u540e\u7ed3\u675f\u70b9<\/td>\n<\/tr>\n<tr>\n<td>\u79fb\u9664\u6700\u5c11\u533a\u95f4\u6d88\u9664\u91cd\u53e0<\/td>\n<td>\u7ec8\u70b9\u5347\u5e8f<\/td>\n<td>\u4fdd\u7559\u533a\u95f4\u7684\u6700\u540e\u7ed3\u675f\u70b9<\/td>\n<\/tr>\n<tr>\n<td>\u6700\u5c11\u8d44\u6e90\u6570<\/td>\n<td>\u8d77\u70b9\u5347\u5e8f &#043; \u6700\u5c0f\u5806<\/td>\n<td>\u6b63\u5728\u5360\u7528\u8d44\u6e90\u7684\u7ed3\u675f\u70b9<\/td>\n<\/tr>\n<tr>\n<td>\u7528\u6700\u5c11\u70b9\u8986\u76d6\u533a\u95f4<\/td>\n<td>\u7ec8\u70b9\u5347\u5e8f<\/td>\n<td>\u6700\u8fd1\u653e\u7f6e\u7684\u8986\u76d6\u70b9<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u540c\u6837\u662f\u533a\u95f4&#xff0c;\u6392\u5e8f\u5b57\u6bb5\u4e0d\u540c&#xff0c;\u539f\u56e0\u662f\u4f18\u5316\u76ee\u6807\u4e0d\u540c\u3002\u4e0d\u80fd\u628a\u201c\u6309\u8d77\u70b9\u6392\u5e8f\u201d\u5f53\u4f5c\u6240\u6709\u533a\u95f4\u95ee\u9898\u7684\u4e07\u80fd\u6a21\u677f\u3002<\/p>\n<h3>\u4e09\u3001\u5de5\u4f5c\u539f\u7406<\/h3>\n<h4>1. \u5408\u5e76\u533a\u95f4\u7684\u626b\u63cf\u4e0d\u53d8\u91cf<\/h4>\n<p>\u6309\u8d77\u70b9\u6392\u5e8f\u540e&#xff0c;\u7ef4\u62a4\u4e00\u4e2a\u5c1a\u672a\u5b9a\u7a3f\u7684\u5f53\u524d\u533a\u95f4&#xff1a;<\/p>\n<p>\u4e0b\u4e00\u4e2a\u533a\u95f4\u8d77\u70b9 &gt; \u5f53\u524d\u53f3\u8fb9\u754c  \u2192 \u5f53\u524d\u533a\u95f4\u5df2\u65e0\u6cd5\u518d\u6269\u5c55&#xff0c;\u5199\u5165\u7ed3\u679c<br \/>\n\u4e0b\u4e00\u4e2a\u533a\u95f4\u8d77\u70b9 &lt;&#061; \u5f53\u524d\u53f3\u8fb9\u754c \u2192 \u4e24\u8005\u91cd\u53e0&#xff0c;\u6269\u5c55\u5f53\u524d\u53f3\u8fb9\u754c<\/p>\n<p>\u7531\u4e8e\u540e\u7eed\u533a\u95f4\u8d77\u70b9\u53ea\u4f1a\u66f4\u5927&#xff0c;\u4e00\u65e6\u51fa\u73b0\u95f4\u9694&#xff0c;\u5f53\u524d\u533a\u95f4\u4e0d\u53ef\u80fd\u518d\u4e0e\u66f4\u540e\u9762\u7684\u533a\u95f4\u91cd\u53e0&#xff0c;\u56e0\u6b64\u53ef\u4ee5\u5b89\u5168\u5730\u5199\u5165\u7ed3\u679c\u3002<\/p>\n<h4>2. \u8c03\u5ea6\u95ee\u9898\u4e3a\u4ec0\u4e48\u9700\u8981\u5806<\/h4>\n<p>\u5408\u5e76\u95ee\u9898\u53ea\u5173\u5fc3\u5f53\u524d\u5408\u5e76\u8303\u56f4&#xff0c;\u8d44\u6e90\u8c03\u5ea6\u5219\u8981\u540c\u65f6\u8ffd\u8e2a\u591a\u4e2a\u4ecd\u672a\u7ed3\u675f\u7684\u533a\u95f4\u3002\u6700\u5c0f\u5806\u4fdd\u5b58\u6240\u6709\u5360\u7528\u8d44\u6e90\u7684\u7ed3\u675f\u65f6\u95f4&#xff1b;\u5806\u9876\u6c38\u8fdc\u662f\u6700\u65e9\u91ca\u653e\u7684\u8d44\u6e90\u3002<\/p>\n<p>\u6309\u5f00\u59cb\u65f6\u95f4\u5904\u7406\u4f1a\u8bae<br \/>\n    \u2193<br \/>\n\u6700\u65e9\u7ed3\u675f\u65f6\u95f4 &lt;&#061; \u5f53\u524d\u5f00\u59cb\u65f6\u95f4&#xff1f;<br \/>\n    \u251c\u2500 \u662f&#xff1a;\u590d\u7528\u8be5\u8d44\u6e90<br \/>\n    \u2514\u2500 \u5426&#xff1a;\u7533\u8bf7\u65b0\u8d44\u6e90<\/p>\n<h3>\u56db\u3001\u5b9e\u6218\u793a\u4f8b<\/h3>\n<h4>1. \u5408\u5e76\u95ed\u533a\u95f4<\/h4>\n<p><span class=\"token keyword\">def<\/span> <span class=\"token function\">merge_intervals<\/span><span class=\"token punctuation\">(<\/span>intervals<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> <span class=\"token builtin\">any<\/span><span class=\"token punctuation\">(<\/span>start <span class=\"token operator\">&gt;<\/span> end <span class=\"token keyword\">for<\/span> start<span class=\"token punctuation\">,<\/span> end <span class=\"token keyword\">in<\/span> intervals<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token keyword\">raise<\/span> ValueError<span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;\u533a\u95f4\u8d77\u70b9\u4e0d\u80fd\u5927\u4e8e\u7ec8\u70b9&#034;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> <span class=\"token keyword\">not<\/span> intervals<span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token keyword\">return<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span><\/p>\n<p>    merged <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span><br \/>\n    current_start<span class=\"token punctuation\">,<\/span> current_end <span class=\"token operator\">&#061;<\/span> <span class=\"token builtin\">sorted<\/span><span class=\"token punctuation\">(<\/span>intervals<span class=\"token punctuation\">,<\/span> key<span class=\"token operator\">&#061;<\/span><span class=\"token keyword\">lambda<\/span> item<span class=\"token punctuation\">:<\/span> item<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><\/p>\n<p>    <span class=\"token keyword\">for<\/span> start<span class=\"token punctuation\">,<\/span> end <span class=\"token keyword\">in<\/span> <span class=\"token builtin\">sorted<\/span><span class=\"token punctuation\">(<\/span>intervals<span class=\"token punctuation\">,<\/span> key<span class=\"token operator\">&#061;<\/span><span class=\"token keyword\">lambda<\/span> item<span class=\"token punctuation\">:<\/span> item<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">:<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> start <span class=\"token operator\">&lt;&#061;<\/span> current_end<span class=\"token punctuation\">:<\/span><br \/>\n            current_end <span class=\"token operator\">&#061;<\/span> <span class=\"token builtin\">max<\/span><span class=\"token punctuation\">(<\/span>current_end<span class=\"token punctuation\">,<\/span> end<span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token keyword\">else<\/span><span class=\"token punctuation\">:<\/span><br \/>\n            merged<span class=\"token punctuation\">.<\/span>append<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">[<\/span>current_start<span class=\"token punctuation\">,<\/span> current_end<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><br \/>\n            current_start<span class=\"token punctuation\">,<\/span> current_end <span class=\"token operator\">&#061;<\/span> start<span class=\"token punctuation\">,<\/span> end<\/p>\n<p>    merged<span class=\"token punctuation\">.<\/span>append<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">[<\/span>current_start<span class=\"token punctuation\">,<\/span> current_end<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token keyword\">return<\/span> merged<\/p>\n<p><span class=\"token keyword\">assert<\/span> merge_intervals<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">3<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">6<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token number\">8<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">10<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token number\">15<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">18<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token punctuation\">[<\/span><br \/>\n    <span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">6<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token number\">8<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">10<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token number\">15<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">18<\/span><span class=\"token punctuation\">]<\/span><br \/>\n<span class=\"token punctuation\">]<\/span><br \/>\n<span class=\"token keyword\">assert<\/span> merge_intervals<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">4<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token number\">4<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">5<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">5<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">]<\/span><br \/>\n<span class=\"token keyword\">assert<\/span> merge_intervals<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span><\/p>\n<p>\u4ee3\u7801\u5148\u9a8c\u8bc1\u8f93\u5165\u5408\u6cd5\u6027&#xff0c;\u518d\u6392\u5e8f\u5e76\u626b\u63cf\u3002\u7b2c\u4e8c\u4e2a\u65ad\u8a00\u4f53\u73b0\u4e86\u95ed\u533a\u95f4\u8bed\u4e49&#xff1a;\u4e24\u4e2a\u533a\u95f4\u7aef\u70b9\u76f8\u63a5\u65f6\u4ecd\u7136\u5408\u5e76\u3002<\/p>\n<h4>2. \u63d2\u5165\u65b0\u533a\u95f4<\/h4>\n<p>\u5df2\u6392\u5e8f\u4e14\u4e92\u4e0d\u91cd\u53e0\u7684\u533a\u95f4\u5217\u8868\u4e2d\u63d2\u5165\u65b0\u533a\u95f4\u65f6&#xff0c;\u53ef\u4ee5\u5c06\u533a\u95f4\u5206\u4e3a\u4e09\u6bb5&#xff1a;\u65b0\u533a\u95f4\u5de6\u4fa7\u3001\u4e0e\u65b0\u533a\u95f4\u91cd\u53e0\u3001\u53f3\u4fa7\u3002<\/p>\n<p><span class=\"token keyword\">def<\/span> <span class=\"token function\">insert_interval<\/span><span class=\"token punctuation\">(<\/span>intervals<span class=\"token punctuation\">,<\/span> new_interval<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    start<span class=\"token punctuation\">,<\/span> end <span class=\"token operator\">&#061;<\/span> new_interval<br \/>\n    <span class=\"token keyword\">if<\/span> start <span class=\"token operator\">&gt;<\/span> end<span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token keyword\">raise<\/span> ValueError<span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;\u65b0\u533a\u95f4\u8d77\u70b9\u4e0d\u80fd\u5927\u4e8e\u7ec8\u70b9&#034;<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>    result <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span><br \/>\n    index <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><br \/>\n    <span class=\"token keyword\">while<\/span> index <span class=\"token operator\">&lt;<\/span> <span class=\"token builtin\">len<\/span><span class=\"token punctuation\">(<\/span>intervals<span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">and<\/span> intervals<span class=\"token punctuation\">[<\/span>index<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&lt;<\/span> start<span class=\"token punctuation\">:<\/span><br \/>\n        result<span class=\"token punctuation\">.<\/span>append<span class=\"token punctuation\">(<\/span>intervals<span class=\"token punctuation\">[<\/span>index<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        index <span class=\"token operator\">&#043;&#061;<\/span> <span class=\"token number\">1<\/span><\/p>\n<p>    <span class=\"token keyword\">while<\/span> index <span class=\"token operator\">&lt;<\/span> <span class=\"token builtin\">len<\/span><span class=\"token punctuation\">(<\/span>intervals<span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">and<\/span> intervals<span class=\"token punctuation\">[<\/span>index<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&lt;&#061;<\/span> end<span class=\"token punctuation\">:<\/span><br \/>\n        start <span class=\"token operator\">&#061;<\/span> <span class=\"token builtin\">min<\/span><span class=\"token punctuation\">(<\/span>start<span class=\"token punctuation\">,<\/span> intervals<span class=\"token punctuation\">[<\/span>index<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        end <span class=\"token operator\">&#061;<\/span> <span class=\"token builtin\">max<\/span><span class=\"token punctuation\">(<\/span>end<span class=\"token punctuation\">,<\/span> intervals<span class=\"token punctuation\">[<\/span>index<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        index <span class=\"token operator\">&#043;&#061;<\/span> <span class=\"token number\">1<\/span><\/p>\n<p>    result<span class=\"token punctuation\">.<\/span>append<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">[<\/span>start<span class=\"token punctuation\">,<\/span> end<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    result<span class=\"token punctuation\">.<\/span>extend<span class=\"token punctuation\">(<\/span>intervals<span class=\"token punctuation\">[<\/span>index<span class=\"token punctuation\">:<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token keyword\">return<\/span> result<\/p>\n<p><span class=\"token keyword\">assert<\/span> insert_interval<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">3<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token number\">6<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">9<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">5<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">5<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token number\">6<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">9<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">]<\/span><br \/>\n<span class=\"token keyword\">assert<\/span> insert_interval<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token number\">3<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">5<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token number\">6<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">7<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token number\">8<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">10<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token number\">12<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">16<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token number\">4<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">8<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token punctuation\">[<\/span><br \/>\n    <span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token number\">3<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">10<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token number\">12<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">16<\/span><span class=\"token punctuation\">]<\/span><br \/>\n<span class=\"token punctuation\">]<\/span><\/p>\n<p>\u8fd9\u4e2a\u5b9e\u73b0\u4f9d\u8d56\u8f93\u5165\u533a\u95f4\u5df2\u6309\u8d77\u70b9\u6392\u5e8f\u4e14\u5f7c\u6b64\u4e0d\u91cd\u53e0\u3002\u5982\u679c\u8f93\u5165\u6ca1\u6709\u4fdd\u8bc1\u8be5\u524d\u63d0&#xff0c;\u5e94\u5148\u8c03\u7528\u5408\u5e76\u903b\u8f91\u6216\u660e\u786e\u62d2\u7edd\u8f93\u5165\u3002<\/p>\n<h4>3. \u79fb\u9664\u6700\u5c11\u533a\u95f4\u4f7f\u5176\u4e0d\u91cd\u53e0<\/h4>\n<p>\u6309\u7ed3\u675f\u65f6\u95f4\u5347\u5e8f\u4fdd\u7559\u5c3d\u53ef\u80fd\u591a\u7684\u533a\u95f4&#xff0c;\u672a\u88ab\u4fdd\u7559\u7684\u6570\u91cf\u5c31\u662f\u6700\u5c11\u79fb\u9664\u6570\u3002<\/p>\n<p><span class=\"token keyword\">def<\/span> <span class=\"token function\">erase_overlap_intervals<\/span><span class=\"token punctuation\">(<\/span>intervals<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> <span class=\"token keyword\">not<\/span> intervals<span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token keyword\">return<\/span> <span class=\"token number\">0<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> <span class=\"token builtin\">any<\/span><span class=\"token punctuation\">(<\/span>start <span class=\"token operator\">&gt;<\/span> end <span class=\"token keyword\">for<\/span> start<span class=\"token punctuation\">,<\/span> end <span class=\"token keyword\">in<\/span> intervals<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token keyword\">raise<\/span> ValueError<span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;\u533a\u95f4\u8d77\u70b9\u4e0d\u80fd\u5927\u4e8e\u7ec8\u70b9&#034;<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>    removed <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><br \/>\n    last_end <span class=\"token operator\">&#061;<\/span> <span class=\"token builtin\">float<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;-inf&#034;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token keyword\">for<\/span> start<span class=\"token punctuation\">,<\/span> end <span class=\"token keyword\">in<\/span> <span class=\"token builtin\">sorted<\/span><span class=\"token punctuation\">(<\/span>intervals<span class=\"token punctuation\">,<\/span> key<span class=\"token operator\">&#061;<\/span><span class=\"token keyword\">lambda<\/span> item<span class=\"token punctuation\">:<\/span> item<span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> start <span class=\"token operator\">&gt;&#061;<\/span> last_end<span class=\"token punctuation\">:<\/span><br \/>\n            last_end <span class=\"token operator\">&#061;<\/span> end<br \/>\n        <span class=\"token keyword\">else<\/span><span class=\"token punctuation\">:<\/span><br \/>\n            removed <span class=\"token operator\">&#043;&#061;<\/span> <span class=\"token number\">1<\/span><br \/>\n    <span class=\"token keyword\">return<\/span> removed<\/p>\n<p><span class=\"token keyword\">assert<\/span> erase_overlap_intervals<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">3<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token number\">3<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">4<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">3<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token number\">1<\/span><br \/>\n<span class=\"token keyword\">assert<\/span> erase_overlap_intervals<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token number\">2<\/span><br \/>\n<span class=\"token keyword\">assert<\/span> erase_overlap_intervals<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token number\">0<\/span><\/p>\n<p>\u4fdd\u7559\u7ed3\u675f\u6700\u65e9\u7684\u533a\u95f4&#xff0c;\u80fd\u7ed9\u540e\u7eed\u533a\u95f4\u7559\u4e0b\u6700\u5927\u7684\u53ef\u7528\u7a7a\u95f4\u3002\u8fd9\u4e0e\u4e0a\u4e00\u8282\u7684\u6d3b\u52a8\u9009\u62e9\u95ee\u9898\u662f\u540c\u4e00\u7c7b\u8d2a\u5fc3\u601d\u60f3\u3002<\/p>\n<h4>4. \u6700\u5c11\u4f1a\u8bae\u5ba4&#xff1a;\u4f7f\u7528\u6700\u5c0f\u5806\u590d\u7528\u8d44\u6e90<\/h4>\n<p><span class=\"token keyword\">import<\/span> heapq<\/p>\n<p><span class=\"token keyword\">def<\/span> <span class=\"token function\">min_meeting_rooms<\/span><span class=\"token punctuation\">(<\/span>meetings<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> <span class=\"token builtin\">any<\/span><span class=\"token punctuation\">(<\/span>start <span class=\"token operator\">&gt;<\/span> end <span class=\"token keyword\">for<\/span> start<span class=\"token punctuation\">,<\/span> end <span class=\"token keyword\">in<\/span> meetings<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token keyword\">raise<\/span> ValueError<span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;\u4f1a\u8bae\u5f00\u59cb\u65f6\u95f4\u4e0d\u80fd\u665a\u4e8e\u7ed3\u675f\u65f6\u95f4&#034;<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>    active_ends <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span><br \/>\n    <span class=\"token keyword\">for<\/span> start<span class=\"token punctuation\">,<\/span> end <span class=\"token keyword\">in<\/span> <span class=\"token builtin\">sorted<\/span><span class=\"token punctuation\">(<\/span>meetings<span class=\"token punctuation\">,<\/span> key<span class=\"token operator\">&#061;<\/span><span class=\"token keyword\">lambda<\/span> item<span class=\"token punctuation\">:<\/span> item<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> active_ends <span class=\"token keyword\">and<\/span> active_ends<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&lt;&#061;<\/span> start<span class=\"token punctuation\">:<\/span><br \/>\n            heapq<span class=\"token punctuation\">.<\/span>heappop<span class=\"token punctuation\">(<\/span>active_ends<span class=\"token punctuation\">)<\/span><br \/>\n        heapq<span class=\"token punctuation\">.<\/span>heappush<span class=\"token punctuation\">(<\/span>active_ends<span class=\"token punctuation\">,<\/span> end<span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token keyword\">return<\/span> <span class=\"token builtin\">len<\/span><span class=\"token punctuation\">(<\/span>active_ends<span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token keyword\">assert<\/span> min_meeting_rooms<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">30<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token number\">5<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">10<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token number\">15<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">20<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token number\">2<\/span><br \/>\n<span class=\"token keyword\">assert<\/span> min_meeting_rooms<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">7<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">10<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">4<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token number\">1<\/span><br \/>\n<span class=\"token keyword\">assert<\/span> min_meeting_rooms<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">3<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token number\">1<\/span><\/p>\n<p>\u5728\u534a\u5f00\u533a\u95f4\u8bed\u4e49\u4e0b&#xff0c;[1, 2) \u7ed3\u675f\u65f6&#xff0c;[2, 3) \u53ef\u4ee5\u7acb\u5373\u590d\u7528\u540c\u4e00\u4f1a\u8bae\u5ba4&#xff0c;\u56e0\u6b64\u5224\u65ad\u4e3a active_ends[0] &lt;&#061; start\u3002\u5982\u679c\u4e1a\u52a1\u5b9a\u4e49\u76f8\u63a5\u4e5f\u51b2\u7a81&#xff0c;\u5e94\u6539\u7528\u4e25\u683c\u5c0f\u4e8e\u3002<\/p>\n<h4>5. \u6700\u5c11\u70b9\u8986\u76d6\u533a\u95f4&#xff1a;\u5f15\u7206\u6c14\u7403\u95ee\u9898<\/h4>\n<p>\u6bcf\u4e2a\u70b9\u53ef\u4ee5\u8986\u76d6\u6240\u6709\u5305\u542b\u8be5\u70b9\u7684\u95ed\u533a\u95f4\u3002\u6309\u53f3\u7aef\u70b9\u4ece\u5c0f\u5230\u5927\u5904\u7406&#xff0c;\u9047\u5230\u672a\u88ab\u5f53\u524d\u70b9\u8986\u76d6\u7684\u533a\u95f4\u65f6&#xff0c;\u5c31\u5728\u8be5\u533a\u95f4\u53f3\u7aef\u70b9\u653e\u4e00\u4e2a\u65b0\u70b9\u3002<\/p>\n<p><span class=\"token keyword\">def<\/span> <span class=\"token function\">min_cover_points<\/span><span class=\"token punctuation\">(<\/span>intervals<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> <span class=\"token builtin\">any<\/span><span class=\"token punctuation\">(<\/span>start <span class=\"token operator\">&gt;<\/span> end <span class=\"token keyword\">for<\/span> start<span class=\"token punctuation\">,<\/span> end <span class=\"token keyword\">in<\/span> intervals<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token keyword\">raise<\/span> ValueError<span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;\u533a\u95f4\u8d77\u70b9\u4e0d\u80fd\u5927\u4e8e\u7ec8\u70b9&#034;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> <span class=\"token keyword\">not<\/span> intervals<span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token keyword\">return<\/span> <span class=\"token number\">0<\/span><\/p>\n<p>    points <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><br \/>\n    last_point <span class=\"token operator\">&#061;<\/span> <span class=\"token builtin\">float<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;-inf&#034;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token keyword\">for<\/span> start<span class=\"token punctuation\">,<\/span> end <span class=\"token keyword\">in<\/span> <span class=\"token builtin\">sorted<\/span><span class=\"token punctuation\">(<\/span>intervals<span class=\"token punctuation\">,<\/span> key<span class=\"token operator\">&#061;<\/span><span class=\"token keyword\">lambda<\/span> item<span class=\"token punctuation\">:<\/span> item<span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> start <span class=\"token operator\">&gt;<\/span> last_point<span class=\"token punctuation\">:<\/span><br \/>\n            points <span class=\"token operator\">&#043;&#061;<\/span> <span class=\"token number\">1<\/span><br \/>\n            last_point <span class=\"token operator\">&#061;<\/span> end<br \/>\n    <span class=\"token keyword\">return<\/span> points<\/p>\n<p><span class=\"token keyword\">assert<\/span> min_cover_points<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">10<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">16<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">8<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">6<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token number\">7<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">12<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token number\">2<\/span><br \/>\n<span class=\"token keyword\">assert<\/span> min_cover_points<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">3<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token number\">3<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">4<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token number\">2<\/span><\/p>\n<p>\u5728\u5f53\u524d\u533a\u95f4\u6700\u53f3\u7aef\u653e\u70b9&#xff0c;\u65e2\u8986\u76d6\u5f53\u524d\u533a\u95f4&#xff0c;\u53c8\u5c3d\u91cf\u6709\u673a\u4f1a\u8986\u76d6\u540e\u7eed\u8d77\u70b9\u66f4\u9760\u53f3\u7684\u533a\u95f4\u3002\u8fd9\u662f\u201c\u6309\u7ed3\u675f\u65f6\u95f4\u8d2a\u5fc3\u201d\u7684\u53e6\u4e00\u79cd\u5f62\u5f0f\u3002<\/p>\n<h4>6. \u7528\u5c0f\u89c4\u6a21\u66b4\u529b\u89e3\u9a8c\u8bc1\u5408\u5e76\u7ed3\u679c<\/h4>\n<p><span class=\"token keyword\">def<\/span> <span class=\"token function\">has_overlap<\/span><span class=\"token punctuation\">(<\/span>intervals<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    ordered <span class=\"token operator\">&#061;<\/span> <span class=\"token builtin\">sorted<\/span><span class=\"token punctuation\">(<\/span>intervals<span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token keyword\">return<\/span> <span class=\"token builtin\">any<\/span><span class=\"token punctuation\">(<\/span><br \/>\n        ordered<span class=\"token punctuation\">[<\/span>index <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&lt;&#061;<\/span> ordered<span class=\"token punctuation\">[<\/span>index<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><br \/>\n        <span class=\"token keyword\">for<\/span> index <span class=\"token keyword\">in<\/span> <span class=\"token builtin\">range<\/span><span class=\"token punctuation\">(<\/span><span class=\"token builtin\">len<\/span><span class=\"token punctuation\">(<\/span>ordered<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token punctuation\">)<\/span><\/p>\n<p>merged <span class=\"token operator\">&#061;<\/span> merge_intervals<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">5<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">7<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">4<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token number\">8<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">8<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token keyword\">assert<\/span> merged <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">4<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token number\">5<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">7<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token number\">8<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">8<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">]<\/span><br \/>\n<span class=\"token keyword\">assert<\/span> has_overlap<span class=\"token punctuation\">(<\/span>merged<span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">is<\/span> <span class=\"token boolean\">False<\/span><\/p>\n<p>\u6d4b\u8bd5\u5e94\u8986\u76d6\u7a7a\u8f93\u5165\u3001\u5b8c\u5168\u5305\u542b\u3001\u7aef\u70b9\u76f8\u63a5\u3001\u8d1f\u6570\u7aef\u70b9\u3001\u91cd\u590d\u533a\u95f4\u548c\u5df2\u7ecf\u6709\u5e8f\u7684\u8f93\u5165\u3002\u533a\u95f4\u9898\u6700\u5e38\u89c1\u7684\u9519\u8bef\u4e0d\u662f\u6392\u5e8f\u672c\u8eab&#xff0c;\u800c\u662f\u8fb9\u754c\u662f\u5426\u5e94\u8be5\u5408\u5e76\u3002<\/p>\n<h3>\u4e94\u3001\u5e38\u89c1\u95ee\u9898\u4e0e\u5b9e\u8df5\u5efa\u8bae<\/h3>\n<h4>1. \u6ca1\u6709\u5b9a\u4e49\u7aef\u70b9\u8bed\u4e49<\/h4>\n<p>start &lt;&#061; current_end \u548c start &lt; current_end \u7684\u5dee\u5f02\u4f1a\u76f4\u63a5\u6539\u53d8\u7ed3\u679c\u3002\u9884\u7ea6\u3001\u65e5\u5fd7\u3001\u65f6\u95f4\u6233\u548c\u5750\u6807\u8303\u56f4\u53ef\u80fd\u91c7\u7528\u4e0d\u540c\u89c4\u5219&#xff0c;\u51fd\u6570\u6ce8\u91ca\u548c\u6d4b\u8bd5\u7528\u4f8b\u5fc5\u987b\u5199\u660e\u3002<\/p>\n<h4>2. \u4e00\u8fb9\u6392\u5e8f\u4e00\u8fb9\u4fee\u6539\u539f\u59cb\u8f93\u5165<\/h4>\n<p>\u82e5\u8c03\u7528\u65b9\u8fd8\u9700\u8981\u4fdd\u7559\u539f\u59cb\u533a\u95f4\u987a\u5e8f&#xff0c;\u4f7f\u7528 sorted() \u521b\u5efa\u65b0\u5217\u8868&#xff0c;\u800c\u4e0d\u662f\u539f\u5730 sort()\u3002\u540c\u65f6&#xff0c;\u8fd4\u56de\u7ed3\u679c\u4e2d\u7684\u533a\u95f4\u6700\u597d\u521b\u5efa\u65b0\u5217\u8868&#xff0c;\u907f\u514d\u65e0\u610f\u5171\u4eab\u53ef\u53d8\u5bf9\u8c61\u3002<\/p>\n<h4>3. \u4f1a\u8bae\u5ba4\u7b97\u6cd5\u53ea\u5f39\u51fa\u4e00\u4e2a\u5df2\u7ed3\u675f\u4f1a\u8bae<\/h4>\n<p>\u672c\u4f8b\u7684\u76ee\u6807\u662f\u6700\u7ec8\u9700\u8981\u7684\u623f\u95f4\u6570&#xff0c;\u5355\u6b21\u5f39\u51fa\u8db3\u591f\u7ef4\u6301\u5806\u5927\u5c0f\u4e0a\u754c&#xff1b;\u82e5\u8fd8\u8981\u7edf\u8ba1\u5f53\u524d\u65f6\u523b\u6240\u6709\u53ef\u590d\u7528\u8d44\u6e90\u6216\u5206\u914d\u5177\u4f53\u623f\u95f4\u7f16\u53f7&#xff0c;\u5219\u5e94\u5728\u65b0\u4f1a\u8bae\u5f00\u59cb\u524d\u5faa\u73af\u5f39\u51fa\u6240\u6709\u7ed3\u675f\u65f6\u95f4\u4e0d\u665a\u4e8e\u5f53\u524d\u5f00\u59cb\u65f6\u95f4\u7684\u623f\u95f4\u3002<\/p>\n<h4>4. \u9519\u628a\u533a\u95f4\u6743\u91cd\u5ffd\u7565\u6389<\/h4>\n<p>\u5982\u679c\u4f1a\u8bae\u6216\u4efb\u52a1\u6709\u4e0d\u540c\u6536\u76ca&#xff0c;\u9009\u62e9\u6700\u591a\u533a\u95f4\u4e0d\u7b49\u4e8e\u6536\u76ca\u6700\u5927\u3002\u5e26\u6743\u533a\u95f4\u8c03\u5ea6\u9700\u8981\u8003\u8651\u6536\u76ca\u72b6\u6001&#xff0c;\u901a\u5e38\u4f7f\u7528\u52a8\u6001\u89c4\u5212\u52a0\u4e8c\u5206\u67e5\u627e\u524d\u9a71\u533a\u95f4\u3002<\/p>\n<h3>\u516d\u3001\u8fdb\u9636\u601d\u8003<\/h3>\n<h4>1. \u4e8b\u4ef6\u626b\u63cf\u7ebf<\/h4>\n<p>\u5f53\u9700\u8981\u77e5\u9053\u6bcf\u4e2a\u65f6\u523b\u7684\u5e76\u53d1\u6570\u3001\u6700\u5927\u91cd\u53e0\u6570\u6216\u6301\u7eed\u65f6\u95f4\u65f6&#xff0c;\u53ef\u4ee5\u628a\u6bcf\u4e2a\u533a\u95f4\u62c6\u6210\u201c\u5f00\u59cb\u4e8b\u4ef6\u201d\u548c\u201c\u7ed3\u675f\u4e8b\u4ef6\u201d&#xff0c;\u6309\u65f6\u95f4\u6392\u5e8f\u540e\u626b\u63cf\u3002\u7aef\u70b9\u76f8\u540c\u7684\u4e8b\u4ef6\u8c01\u5148\u5904\u7406&#xff0c;\u4ecd\u7136\u53d6\u51b3\u4e8e\u95ed\u5f00\u533a\u95f4\u8bed\u4e49\u3002<\/p>\n<h4>2. \u533a\u95f4\u6811\u4e0e\u52a8\u6001\u66f4\u65b0<\/h4>\n<p>\u672c\u6587\u7b97\u6cd5\u9002\u5408\u79bb\u7ebf\u6279\u91cf\u5904\u7406\u3002\u82e5\u7cfb\u7edf\u9700\u8981\u9891\u7e41\u63d2\u5165\u3001\u5220\u9664\u548c\u67e5\u8be2\u91cd\u53e0\u533a\u95f4&#xff0c;\u53ef\u4ee5\u8003\u8651\u5e73\u8861\u6811\u3001\u533a\u95f4\u6811\u3001\u7ebf\u6bb5\u6811\u6216\u6570\u636e\u5e93\u7684\u8303\u56f4\u7d22\u5f15\u3002\u6570\u636e\u7ed3\u6784\u7684\u9009\u62e9\u53d6\u51b3\u4e8e\u66f4\u65b0\u9891\u7387\u3001\u67e5\u8be2\u7c7b\u578b\u548c\u6570\u636e\u89c4\u6a21\u3002<\/p>\n<h4>3. \u5c06\u65f6\u95f4\u7edf\u4e00\u4e3a\u53ef\u6bd4\u8f83\u7684\u5355\u4f4d<\/h4>\n<p>\u4e1a\u52a1\u65f6\u95f4\u5e94\u5148\u5904\u7406\u65f6\u533a\u3001\u590f\u4ee4\u65f6\u3001\u7cbe\u5ea6\u548c\u7ed3\u675f\u65f6\u95f4\u662f\u5426\u5305\u542b\u7b49\u89c4\u5219&#xff0c;\u518d\u8f6c\u6210\u7edf\u4e00\u65f6\u95f4\u6233\u53c2\u4e0e\u7b97\u6cd5\u3002\u4e0d\u8981\u76f4\u63a5\u6bd4\u8f83\u683c\u5f0f\u4e0d\u4e00\u81f4\u7684\u5b57\u7b26\u4e32\u65f6\u95f4\u3002<\/p>\n<h3>\u7ed3\u8bba<\/h3>\n<p>\u533a\u95f4\u95ee\u9898\u7684\u6838\u5fc3\u662f\u660e\u786e\u8fb9\u754c\u8bed\u4e49&#xff0c;\u518d\u6839\u636e\u4f18\u5316\u76ee\u6807\u9009\u62e9\u6392\u5e8f\u89c4\u5219\u548c\u626b\u63cf\u72b6\u6001\u3002\u5408\u5e76\u4e0e\u63d2\u5165\u901a\u5e38\u6309\u8d77\u70b9\u6392\u5e8f&#xff0c;\u9009\u62e9\u4e0e\u8986\u76d6\u901a\u5e38\u6309\u7ec8\u70b9\u6392\u5e8f&#xff0c;\u8d44\u6e90\u8c03\u5ea6\u5219\u9700\u8981\u6700\u5c0f\u5806\u7ba1\u7406\u591a\u4e2a\u6d3b\u52a8\u533a\u95f4\u3002<\/p>\n<p>\u5199\u533a\u95f4\u7b97\u6cd5\u65f6&#xff0c;\u5e94\u5c06\u201c\u7aef\u70b9\u76f8\u63a5\u662f\u5426\u51b2\u7a81\u201d\u4f5c\u4e3a\u7b2c\u4e00\u6761\u4e1a\u52a1\u89c4\u5219&#xff0c;\u5e76\u7528\u9488\u5bf9\u6027\u7684\u8fb9\u754c\u6d4b\u8bd5\u56fa\u5b9a\u4e0b\u6765\u3002\u4e0b\u4e00\u6b65\u53ef\u4ee5\u5b66\u4e60\u5b57\u7b26\u4e32\u7b97\u6cd5&#xff0c;\u7406\u89e3\u5339\u914d\u3001\u8ba1\u6570\u548c\u524d\u7f00\u7ed3\u6784\u5982\u4f55\u5229\u7528\u5e8f\u5217\u4e2d\u7684\u91cd\u590d\u4fe1\u606f\u3002<\/p>\n<h3>\u53c2\u8003\u8d44\u6599<\/h3>\n<ul>\n<li>Python 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