{"id":58285,"date":"2025-08-16T07:41:01","date_gmt":"2025-08-15T23:41:01","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/58285.html"},"modified":"2025-08-16T07:41:01","modified_gmt":"2025-08-15T23:41:01","slug":"%e4%ba%8c%e5%8f%89%e6%90%9c%e7%b4%a2%e6%a0%91-binary-search-tree-bst%ef%bc%8c%e5%b9%b6%e7%bb%93%e5%90%88%e4%b9%8b%e5%89%8d%e7%9a%84%e4%b8%8a%e4%b8%8b%e6%96%87%ef%bc%88%e5%be%aa%e7%8e%af%e9%98%9f","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/58285.html","title":{"rendered":"\u4e8c\u53c9\u641c\u7d22\u6811 (Binary Search Tree, BST)\uff0c\u5e76\u7ed3\u5408\u4e4b\u524d\u7684\u4e0a\u4e0b\u6587\uff08\u5faa\u73af\u961f\u5217\u3001\u5355\u94fe\u8868\u3001\u53cc\u94fe\u8868\u3001\u6570\u7ec4\u5217\u8868\u3001\u6808\u3001\u4f18\u5148\u961f\u5217\u3001\u5faa\u73af\u7f13\u51b2\u533a\u3001\u4e8c\u53c9\u6700\u5c0f\u5806\u3001\u6590\u6ce2\u90a3\u5951\u5806\u3001\u4e8c\u53c9\u6700\u5927\u5806\u3001\u5806\u6392\u5e8f\u3001\u5feb\u901f\u6392\u5e8f"},"content":{"rendered":"<p>\u4e8c\u53c9\u641c\u7d22\u6811 (Binary Search Tree, BST)&#xff0c;\u5e76\u7ed3\u5408\u4e4b\u524d\u7684\u4e0a\u4e0b\u6587&#xff08;\u5faa\u73af\u961f\u5217\u3001\u5355\u94fe\u8868\u3001\u53cc\u94fe\u8868\u3001\u6570\u7ec4\u5217\u8868\u3001\u6808\u3001\u4f18\u5148\u961f\u5217\u3001\u5faa\u73af\u7f13\u51b2\u533a\u3001\u4e8c\u53c9\u6700\u5c0f\u5806\u3001\u6590\u6ce2\u90a3\u5951\u5806\u3001\u4e8c\u53c9\u6700\u5927\u5806\u3001\u5806\u6392\u5e8f\u3001\u5feb\u901f\u6392\u5e8f\u3001\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806\u3001\u5e76\u884c\u7b97\u6cd5\u5e94\u7528\u3001\u5206\u5e03\u5f0f\u4efb\u52a1\u8c03\u5ea6\u3001\u5e76\u884c\u56fe\u7b97\u6cd5\u3001\u6700\u5c0f\u4f18\u5148\u961f\u5217\u3001\u952e\u503c\u4f18\u5148\u961f\u5217\u3001\u5206\u5e03\u5f0f\u6392\u5e8f\u7b97\u6cd5\u3001\u8d28\u6570\u54c8\u5e0c\u65cf\u3001\u901a\u7528\u54c8\u5e0c\u65cf\u3001\u94fe\u5f0f\u54c8\u5e0c\u8868\u3001\u5e03\u8c37\u9e1f\u54c8\u5e0c\u8868\u3001\u5f00\u653e\u5bfb\u5740\u54c8\u5e0c\u8868\u3001\u6392\u5e8f\u5217\u8868\u3001\u6392\u5e8f\u5b57\u5178&#xff09;&#xff0c;\u6211\u5047\u8bbe\u60a8\u5e0c\u671b\u6df1\u5165\u63a2\u8ba8\u4e8c\u53c9\u641c\u7d22\u6811\u7684\u539f\u7406\u53ca\u5176\u5728\u5206\u5e03\u5f0f\u7cfb\u7edf\u6216\u534a\u5bfc\u4f53\u4ea7\u7ebf\u573a\u666f\u4e2d\u7684\u5e94\u7528&#xff0c;\u7279\u522b\u662f\u4e0e \u901a\u7528\u54c8\u5e0c\u65cf\u3001\u94fe\u5f0f\u54c8\u5e0c\u8868\u3001\u5e03\u8c37\u9e1f\u54c8\u5e0c\u8868\u3001\u5f00\u653e\u5bfb\u5740\u54c8\u5e0c\u8868\u3001\u6392\u5e8f\u5217\u8868\u3001\u6392\u5e8f\u5b57\u5178 \u4ee5\u53ca \u4e8c\u9879\u5f0f\u6700\u5c0f\u5806&#xff08;\u952e\u503c\u4f18\u5148\u961f\u5217&#xff09; \u7684\u5bf9\u6bd4\u3002<\/p>\n<p>\u7531\u4e8e\u60a8\u4e4b\u524d\u5173\u6ce8\u54c8\u5e0c\u8868\u7cfb\u5217\u3001\u6392\u5e8f\u5217\u8868\u3001\u6392\u5e8f\u5b57\u5178\u548c\u5206\u5e03\u5f0f\u4efb\u52a1\u8c03\u5ea6&#xff0c;\u6211\u5c06\u91cd\u70b9\u5206\u6790\u4e8c\u53c9\u641c\u7d22\u6811\u5728\u5206\u5e03\u5f0f\u4efb\u52a1\u5206\u914d\u6216\u6570\u636e\u5b58\u50a8\u4e2d\u7684\u4f5c\u7528&#xff0c;\u7ed3\u5408\u901a\u7528\u54c8\u5e0c\u65cf\u8fdb\u884c\u952e\u6620\u5c04&#xff0c;\u5e76\u4e0e\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806\u7b49\u6570\u636e\u7ed3\u6784\u8fdb\u884c\u5bf9\u6bd4\u3002<\/p>\n<p>\u4ee5\u4e0b\u6211\u5c06&#xff1a;<\/p>\n<li>\u8be6\u7ec6\u89e3\u6790\u4e8c\u53c9\u641c\u7d22\u6811\u7684\u539f\u7406\u53ca\u5176\u5728\u5206\u5e03\u5f0f\u7cfb\u7edf\u4e2d\u7684\u5e94\u7528\u3002<\/li>\n<li>\u4e0e\u94fe\u5f0f\u54c8\u5e0c\u8868\u3001\u5e03\u8c37\u9e1f\u54c8\u5e0c\u8868\u3001\u5f00\u653e\u5bfb\u5740\u54c8\u5e0c\u8868\u3001\u6392\u5e8f\u5217\u8868\u3001\u6392\u5e8f\u5b57\u5178\u3001\u5faa\u73af\u961f\u5217\u3001\u5355\u94fe\u8868\u3001\u53cc\u94fe\u8868\u3001\u6570\u7ec4\u5217\u8868\u3001\u6808\u3001\u5faa\u73af\u7f13\u51b2\u533a\u3001\u4e8c\u53c9\u6700\u5c0f\u5806\u3001\u6590\u6ce2\u90a3\u5951\u5806\u3001\u4e8c\u53c9\u6700\u5927\u5806\u3001\u5806\u6392\u5e8f\u3001\u5feb\u901f\u6392\u5e8f\u3001\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806\u7b49\u8fdb\u884c\u5bf9\u6bd4&#xff0c;\u805a\u7126\u4e8c\u53c9\u641c\u7d22\u6811\u5728\u5206\u5e03\u5f0f\u573a\u666f\u4e2d\u7684\u9002\u7528\u6027\u3002<\/li>\n<li>\u63d0\u4f9b\u534a\u5bfc\u4f53\u4ea7\u7ebf\u573a\u666f\u7684\u5b9a\u5236\u5316\u793a\u4f8b&#xff0c;\u5c55\u793a\u4e8c\u53c9\u641c\u7d22\u6811\u7ed3\u5408\u901a\u7528\u54c8\u5e0c\u65cf\u548c\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806\u5728\u6676\u5706\u6d4b\u8bd5\u4efb\u52a1\u5206\u914d\u4e2d\u7684\u5e94\u7528\u3002<\/li>\n<li>\u786e\u4fdd\u5185\u5bb9\u6e05\u6670\u3001\u7b80\u6d01&#xff0c;\u5e76\u9488\u5bf9\u60a8\u7684\u9700\u6c42\u8fdb\u884c\u6269\u5c55\u3002<\/li>\n<p>\u5982\u679c\u60a8\u6709\u7279\u5b9a\u7684\u4e8c\u53c9\u641c\u7d22\u6811\u5e94\u7528\u8981\u6c42&#xff08;\u4f8b\u5982\u666e\u901a BST\u3001AVL \u6811\u3001\u7ea2\u9ed1\u6811\u7684\u5b9e\u73b0&#xff0c;\u5206\u5e03\u5f0f\u6392\u5e8f\u7b97\u6cd5\u4e2d\u7684\u5177\u4f53\u5e94\u7528&#xff0c;\u6216\u534a\u5bfc\u4f53\u573a\u666f\u5982\u6676\u5706\u6d4b\u8bd5\u6570\u636e\u5b58\u50a8\u4e2d\u7684\u5b9e\u73b0&#xff09;&#xff0c;\u6216\u5e0c\u671b\u805a\u7126\u5176\u4ed6\u6570\u636e\u7ed3\u6784\u7684\u7ed3\u5408&#xff08;\u5982\u4e0e\u6392\u5e8f\u5b57\u5178\u3001\u54c8\u5e0c\u8868\u7684\u8be6\u7ec6\u5bf9\u6bd4&#xff09;&#xff0c;\u8bf7\u8fdb\u4e00\u6b65\u8bf4\u660e&#xff0c;\u6211\u5c06\u8c03\u6574\u5185\u5bb9\u4ee5\u66f4\u7cbe\u51c6\u5730\u6ee1\u8db3\u60a8\u7684\u9700\u6c42&#xff01;<\/p>\n<hr \/>\n<p>\u4e00\u3001\u4e8c\u53c9\u641c\u7d22\u6811 (Binary Search Tree, BST) \u8be6\u89e3\u4e2d\u6587\u89e3\u91ca\u4e8c\u53c9\u641c\u7d22\u6811 (BST) \u662f\u4e00\u79cd\u6811\u5f62\u6570\u636e\u7ed3\u6784&#xff0c;\u6bcf\u4e2a\u8282\u70b9\u5b58\u50a8\u4e00\u4e2a\u952e\u503c\u5bf9&#xff0c;\u6ee1\u8db3\u4ee5\u4e0b\u6027\u8d28&#xff1a;<\/p>\n<ul>\n<li>\u5de6\u5b50\u6811\u7684\u6240\u6709\u952e\u5c0f\u4e8e\u5f53\u524d\u8282\u70b9\u7684\u952e\u3002<\/li>\n<li>\u53f3\u5b50\u6811\u7684\u6240\u6709\u952e\u5927\u4e8e\u5f53\u524d\u8282\u70b9\u7684\u952e\u3002<\/li>\n<li>\u5de6\u53f3\u5b50\u6811\u672c\u8eab\u4e5f\u662f\u4e8c\u53c9\u641c\u7d22\u6811\u3002<\/li>\n<\/ul>\n<p>BST \u5e7f\u6cdb\u7528\u4e8e\u5b9e\u73b0 \u6392\u5e8f\u5217\u8868 \u548c \u6392\u5e8f\u5b57\u5178&#xff0c;\u652f\u6301\u9ad8\u6548\u7684\u63d2\u5165\u3001\u67e5\u627e\u3001\u5220\u9664\u548c\u8303\u56f4\u67e5\u8be2\u64cd\u4f5c\u3002\u76f8\u6bd4\u54c8\u5e0c\u8868&#xff08;\u5982\u94fe\u5f0f\u54c8\u5e0c\u8868\u3001\u5e03\u8c37\u9e1f\u54c8\u5e0c\u8868\u3001\u5f00\u653e\u5bfb\u5740\u54c8\u5e0c\u8868&#xff09;&#xff0c;BST \u4e0d\u4f9d\u8d56\u54c8\u5e0c\u51fd\u6570&#xff0c;\u800c\u662f\u901a\u8fc7\u952e\u7684\u6bd4\u8f83\u4fdd\u6301\u6709\u5e8f&#xff0c;\u9002\u5408\u9700\u8981\u6309\u952e\u6392\u5e8f\u6216\u8303\u56f4\u67e5\u8be2\u7684\u573a\u666f\u3002\u666e\u901a BST \u7684\u6027\u80fd\u53ef\u80fd\u56e0\u4e0d\u5e73\u8861\u9000\u5316\u4e3a O(n)&#xff0c;\u56e0\u6b64\u5e38\u7528 \u5e73\u8861 BST&#xff08;\u5982 AVL \u6811\u3001\u7ea2\u9ed1\u6811&#xff09;\u6216 \u8df3\u8dc3\u5217\u8868 \u66ff\u4ee3\u4ee5\u4fdd\u8bc1 O(log n) \u64cd\u4f5c\u3002BST \u7684\u7ed3\u6784&#xff1a;<\/p>\n<ul>\n<li>\u8282\u70b9&#xff1a;\u5b58\u50a8\u952e\u3001\u503c\u3001\u5de6\u5b50\u8282\u70b9\u6307\u9488\u3001\u53f3\u5b50\u8282\u70b9\u6307\u9488&#xff08;\u5e73\u8861 BST \u53ef\u80fd\u5305\u542b\u989d\u5916\u4fe1\u606f&#xff0c;\u5982\u9ad8\u5ea6\u6216\u989c\u8272&#xff09;\u3002<\/li>\n<li>\u6839\u8282\u70b9&#xff1a;\u6811\u7684\u5165\u53e3\u3002<\/li>\n<li>\u952e\u503c\u5bf9&#xff1a;\u952e\u6309\u5347\u5e8f\u6216\u964d\u5e8f\u6392\u5217&#xff0c;\u503c\u5b58\u50a8\u5173\u8054\u6570\u636e\u3002<\/li>\n<\/ul>\n<p>BST \u7684\u64cd\u4f5c&#xff1a;<\/p>\n<ul>\n<li>\u63d2\u5165 (Insert)&#xff1a;\u6839\u636e\u952e\u7684\u5927\u5c0f\u63d2\u5165\u5230\u6b63\u786e\u4f4d\u7f6e\u3002<\/li>\n<li>\u67e5\u627e (Search)&#xff1a;\u6839\u636e\u952e\u67e5\u627e\u503c&#xff0c;\u6cbf\u6811\u8def\u5f84\u6bd4\u8f83\u3002<\/li>\n<li>\u5220\u9664 (Delete)&#xff1a;\u79fb\u9664\u6307\u5b9a\u952e&#xff0c;\u8c03\u6574\u6811\u7ed3\u6784\u4ee5\u4fdd\u6301 BST \u6027\u8d28\u3002<\/li>\n<li>\u904d\u5386 (Traverse)&#xff1a;\u652f\u6301\u4e2d\u5e8f\u904d\u5386&#xff08;\u6309\u952e\u5347\u5e8f\u8f93\u51fa&#xff09;\u3001\u524d\u5e8f\u904d\u5386\u3001\u540e\u5e8f\u904d\u5386\u3002<\/li>\n<li>\u8303\u56f4\u67e5\u8be2 (Range Query)&#xff1a;\u67e5\u627e\u67d0\u4e2a\u952e\u8303\u56f4\u5185\u7684\u952e\u503c\u5bf9\u3002<\/li>\n<\/ul>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250815234059-689fc58b95726.png\" \/><\/p>\n<ul><\/ul>\n<p>\u65f6\u95f4\u590d\u6742\u5ea6&#xff08;n \u4e3a\u8282\u70b9\u6570&#xff0c;k \u4e3a\u8303\u56f4\u67e5\u8be2\u7ed3\u679c\u5927\u5c0f&#xff09;&#xff1a;<\/p>\n<ul>\n<li>\u666e\u901a BST&#xff1a;\n<ul>\n<li>\u63d2\u5165\/\u67e5\u627e\/\u5220\u9664&#xff1a;O(h)&#xff08;h \u4e3a\u6811\u9ad8&#xff0c;\u5e73\u8861\u65f6 O(log n)&#xff0c;\u4e0d\u5e73\u8861\u65f6 O(n)&#xff09;\u3002<\/li>\n<li>\u904d\u5386\/\u8303\u56f4\u67e5\u8be2&#xff1a;O(n)\/O(h &#043; k)\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\u5e73\u8861 BST&#xff08;AVL\/\u7ea2\u9ed1\u6811&#xff09;&#xff1a;\n<ul>\n<li>\u63d2\u5165\/\u67e5\u627e\/\u5220\u9664&#xff1a;O(log n)\u3002<\/li>\n<li>\u904d\u5386\/\u8303\u56f4\u67e5\u8be2&#xff1a;O(n)\/O(log n &#043; k).<\/li>\n<\/ul>\n<\/li>\n<li>\u7a7a\u95f4\u590d\u6742\u5ea6&#xff1a;O(n)&#xff0c;\u8282\u70b9\u5b58\u50a8\u952e\u503c\u5bf9\u53ca\u6307\u9488\u3002<\/li>\n<\/ul>\n<p>BST \u5728\u5206\u5e03\u5f0f\u7cfb\u7edf\u4e2d\u7684\u5e94\u7528&#xff1a;<\/p>\n<ul>\n<li>\u6570\u636e\u5b58\u50a8&#xff1a;\u6309\u952e\u6392\u5e8f\u5b58\u50a8\u952e\u503c\u5bf9&#xff0c;\u9002\u5408\u8303\u56f4\u67e5\u8be2\u6216\u6709\u5e8f\u8f93\u51fa\u3002<\/li>\n<li>\u5206\u5e03\u5f0f\u4efb\u52a1\u8c03\u5ea6&#xff1a;\u7ed3\u5408\u4f18\u5148\u961f\u5217&#xff08;\u5982\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806&#xff09;\u7ba1\u7406\u4efb\u52a1\u4f18\u5148\u7ea7&#xff0c;\u6309\u952e\u6392\u5e8f\u5206\u914d\u4efb\u52a1\u3002<\/li>\n<li>\u5206\u5e03\u5f0f\u6392\u5e8f&#xff1a;\u8282\u70b9\u5185\u4f7f\u7528 BST \u5b58\u50a8\u6570\u636e&#xff0c;\u5408\u5e76\u751f\u6210\u5168\u5c40\u6709\u5e8f\u7ed3\u679c\u3002<\/li>\n<li>\u8d1f\u8f7d\u5747\u8861&#xff1a;\u7ed3\u5408\u901a\u7528\u54c8\u5e0c\u65cf\u5206\u533a\u6570\u636e&#xff0c;BST \u7ef4\u62a4\u672c\u5730\u6709\u5e8f\u6027\u3002<\/li>\n<\/ul>\n<p>\u534a\u5bfc\u4f53\u4ea7\u7ebf\u573a\u666f\u4e2d\u7684\u5e94\u7528&#xff1a;<\/p>\n<ul>\n<li>\u6d4b\u8bd5\u673a&#xff1a;\u5b58\u50a8\u6676\u5706\u6d4b\u8bd5\u6570\u636e&#xff08;\u952e&#xff1a;WaferId&#xff0c;\u503c&#xff1a;\u6d4b\u8bd5\u7ed3\u679c&#xff09;&#xff0c;\u6309 WaferId \u6392\u5e8f\u8f93\u51fa\u6216\u8303\u56f4\u67e5\u8be2\u3002<\/li>\n<li>\u8d34\u7247\u673a (SMT)&#xff1a;\u7ba1\u7406\u8d34\u7247\u4efb\u52a1&#xff0c;\u952e\u4e3a\u4efb\u52a1ID&#xff0c;\u503c\u5305\u62ec\u4f18\u5148\u7ea7&#xff0c;\u6309\u987a\u5e8f\u8c03\u5ea6\u3002<\/li>\n<li>\u6676\u5706\u5207\u5272\u673a&#xff1a;\u5b58\u50a8\u5207\u5272\u8def\u5f84\u70b9&#xff0c;\u6309\u5750\u6807\u6392\u5e8f\u4f18\u5316\u8def\u5f84\u3002<\/li>\n<li>\u5206\u5e03\u5f0f\u6392\u5e8f&#xff1a;\u7ed3\u5408\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806&#xff0c;\u5b58\u50a8\u548c\u5408\u5e76\u6392\u5e8f\u4efb\u52a1\u3002<\/li>\n<\/ul>\n<p>BST vs \u6392\u5e8f\u5217\u8868 vs \u6392\u5e8f\u5b57\u5178 vs \u54c8\u5e0c\u8868&#xff1a;<\/p>\n<ul>\n<li>BST&#xff1a;O(log n) \u63d2\u5165\/\u67e5\u627e\/\u5220\u9664&#xff08;\u5e73\u8861\u65f6&#xff09;&#xff0c;\u652f\u6301\u6709\u5e8f\u904d\u5386\u548c\u8303\u56f4\u67e5\u8be2&#xff0c;\u9002\u5408\u52a8\u6001\u952e\u503c\u5b58\u50a8\u3002<\/li>\n<li>\u6392\u5e8f\u5217\u8868&#xff1a;\u57fa\u4e8e BST \u6216\u8df3\u8dc3\u5217\u8868&#xff0c;O(log n) \u64cd\u4f5c&#xff0c;\u5f3a\u8c03\u5217\u8868\u987a\u5e8f\u3002<\/li>\n<li>\u6392\u5e8f\u5b57\u5178&#xff1a;\u57fa\u4e8e BST \u6216\u8df3\u8dc3\u5217\u8868&#xff0c;O(log n) \u64cd\u4f5c&#xff0c;\u5f3a\u8c03\u952e\u503c\u6620\u5c04\u3002<\/li>\n<li>\u94fe\u5f0f\u54c8\u5e0c\u8868&#xff1a;O(1 &#043; \\\\alpha) \u63d2\u5165\/\u67e5\u627e\/\u5220\u9664&#xff0c;\u65e0\u5e8f&#xff0c;\u9002\u5408\u5feb\u901f\u952e\u503c\u8bbf\u95ee\u3002<\/li>\n<li>\u5e03\u8c37\u9e1f\u54c8\u5e0c\u8868&#xff1a;O(1) \u67e5\u627e\/\u5220\u9664&#xff0c;O(1) \u63d2\u5165&#xff08;\u644a\u9500&#xff09;&#xff0c;\u65e0\u5e8f&#xff0c;\u9ad8\u6548\u7a7a\u95f4\u5229\u7528\u3002<\/li>\n<li>\u5f00\u653e\u5bfb\u5740\u54c8\u5e0c\u8868&#xff1a;O(1 \/ (1 &#8211; \\\\alpha)) \u63d2\u5165\/\u67e5\u627e\/\u5220\u9664&#xff0c;\u65e0\u5e8f&#xff0c;\u9ad8\u8d1f\u8f7d\u56e0\u5b50\u4e0b\u6027\u80fd\u4e0b\u964d\u3002<\/li>\n<\/ul>\n<hr \/>\n<p>\u4e8c\u3001\u4e8c\u53c9\u641c\u7d22\u6811\u5b9e\u73b0&#xff08;\u57fa\u4e8e\u7ea2\u9ed1\u6811&#xff0c;\u7ed3\u5408\u901a\u7528\u54c8\u5e0c\u65cf\u548c\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806&#xff09;\u4ee5\u4e0b\u662f BST \u7684\u5b9e\u73b0&#xff0c;\u57fa\u4e8e \u7ea2\u9ed1\u6811&#xff08;\u5e73\u8861 BST&#xff09;&#xff0c;\u7ed3\u5408\u901a\u7528\u54c8\u5e0c\u65cf\u7528\u4e8e\u5206\u5e03\u5f0f\u5206\u533a&#xff0c;\u914d\u5408\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806\u8fdb\u884c\u4f18\u5148\u7ea7\u8c03\u5ea6\u3002<\/p>\n<p>\u4ee3\u7801\u57fa\u4e8e C#&#xff0c;\u4f7f\u7528\u7ebf\u7a0b\u6a21\u62df\u5206\u5e03\u5f0f\u8282\u70b9&#xff0c;\u5b9e\u9645\u73af\u5883\u4e2d\u53ef\u66ff\u6362\u4e3a\u7f51\u7edc\u901a\u4fe1&#xff08;\u5982 gRPC&#xff09;\u3002<\/p>\n<p>\u7531\u4e8e\u6392\u5e8f\u5217\u8868\u548c\u6392\u5e8f\u5b57\u5178\u901a\u5e38\u57fa\u4e8e\u7ea2\u9ed1\u6811\u5b9e\u73b0&#xff0c;\u6211\u5c06\u590d\u7528\u7ea2\u9ed1\u6811\u4ee3\u7801\u5e76\u8c03\u6574\u4e3a\u901a\u7528 BST \u63a5\u53e3&#xff0c;\u7a81\u51fa\u5176\u6838\u5fc3\u529f\u80fd\u3002\u901a\u7528\u54c8\u5e0c\u65cf\u5b9e\u73b0csharp<\/p>\n<p>\u00a0<\/p>\n<p>using System;<\/p>\n<p>public class UniversalHashFamily<br \/>\n{<br \/>\n    private readonly int m; \/\/ \u8282\u70b9\u6570<br \/>\n    private readonly int p; \/\/ \u5927\u8d28\u6570<br \/>\n    private readonly Random rand;<br \/>\n    private readonly int a;<br \/>\n    private readonly int b;<\/p>\n<p>    public UniversalHashFamily(int m, int p &#061; 1000003)<br \/>\n    {<br \/>\n        this.m &#061; m;<br \/>\n        this.p &#061; p;<br \/>\n        rand &#061; new Random();<br \/>\n        a &#061; rand.Next(1, p);<br \/>\n        b &#061; rand.Next(0, p);<br \/>\n    }<\/p>\n<p>    public int Hash(int key)<br \/>\n    {<br \/>\n        return ((a * key &#043; b) % p) % m;<br \/>\n    }<br \/>\n}<\/p>\n<p>\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806&#xff08;\u952e\u503c\u4f18\u5148\u961f\u5217&#xff09;\u5b9e\u73b0&#xff08;\u590d\u7528\u4e4b\u524d\u7684 BinomialMinPriorityQueue&lt;TKey, TValue&gt;&#xff0c;\u652f\u6301 O(log n) \u7684 Insert\u3001Extract-Min \u548c Merge \u64cd\u4f5c&#xff0c;\u6b64\u5904\u7565\u53bb\u91cd\u590d\u4ee3\u7801&#xff09;\u7ea2\u9ed1\u6811\u5b9e\u73b0\u7684\u4e8c\u53c9\u641c\u7d22\u6811csharp<\/p>\n<p>\u00a0<\/p>\n<p>using System;<br \/>\nusing System.Collections.Generic;<\/p>\n<p>public enum Color { Red, Black }<\/p>\n<p>public class BSTNode&lt;TKey, TValue&gt; where TKey : IComparable&lt;TKey&gt;<br \/>\n{<br \/>\n    public TKey Key { get; set; }<br \/>\n    public TValue Value { get; set; }<br \/>\n    public Color Color { get; set; } \/\/ \u7ea2\u9ed1\u6811\u4e13\u7528<br \/>\n    public BSTNode&lt;TKey, TValue&gt; Left { get; set; }<br \/>\n    public BSTNode&lt;TKey, TValue&gt; Right { get; set; }<br \/>\n    public BSTNode&lt;TKey, TValue&gt; Parent { get; set; }<\/p>\n<p>    public BSTNode(TKey key, TValue value, Color color &#061; Color.Black)<br \/>\n    {<br \/>\n        Key &#061; key;<br \/>\n        Value &#061; value;<br \/>\n        Color &#061; color;<br \/>\n    }<br \/>\n}<\/p>\n<p>public class BinarySearchTree&lt;TKey, TValue&gt; where TKey : IComparable&lt;TKey&gt;<br \/>\n{<br \/>\n    private BSTNode&lt;TKey, TValue&gt; root;<br \/>\n    private readonly object lockObject &#061; new object();<\/p>\n<p>    public bool Insert(TKey key, TValue value)<br \/>\n    {<br \/>\n        lock (lockObject)<br \/>\n        {<br \/>\n            var newNode &#061; new BSTNode&lt;TKey, TValue&gt;(key, value, Color.Red);<br \/>\n            if (root &#061;&#061; null)<br \/>\n            {<br \/>\n                root &#061; newNode;<br \/>\n                root.Color &#061; Color.Black;<br \/>\n                return true;<br \/>\n            }<\/p>\n<p>            var current &#061; root;<br \/>\n            BSTNode&lt;TKey, TValue&gt; parent &#061; null;<br \/>\n            while (current !&#061; null)<br \/>\n            {<br \/>\n                parent &#061; current;<br \/>\n                int cmp &#061; key.CompareTo(current.Key);<br \/>\n                if (cmp &#061;&#061; 0)<br \/>\n                    return false; \/\/ \u952e\u5df2\u5b58\u5728<br \/>\n                current &#061; cmp &lt; 0 ? current.Left : current.Right;<br \/>\n            }<\/p>\n<p>            newNode.Parent &#061; parent;<br \/>\n            int parentCmp &#061; key.CompareTo(parent.Key);<br \/>\n            if (parentCmp &lt; 0)<br \/>\n                parent.Left &#061; newNode;<br \/>\n            else<br \/>\n                parent.Right &#061; newNode;<\/p>\n<p>            FixAfterInsert(newNode);<br \/>\n            return true;<br \/>\n        }<br \/>\n    }<\/p>\n<p>    private void FixAfterInsert(BSTNode&lt;TKey, TValue&gt; node)<br \/>\n    {<br \/>\n        \/\/ \u7ea2\u9ed1\u6811\u63d2\u5165\u4fee\u590d\u903b\u8f91&#xff08;\u7565&#xff0c;\u5305\u542b\u5de6\u65cb\u3001\u53f3\u65cb\u3001\u989c\u8272\u8c03\u6574&#xff09;<br \/>\n        \/\/ \u786e\u4fdd O(log n) \u5e73\u8861<br \/>\n    }<\/p>\n<p>    public TValue Search(TKey key)<br \/>\n    {<br \/>\n        lock (lockObject)<br \/>\n        {<br \/>\n            var current &#061; root;<br \/>\n            while (current !&#061; null)<br \/>\n            {<br \/>\n                int cmp &#061; key.CompareTo(current.Key);<br \/>\n                if (cmp &#061;&#061; 0)<br \/>\n                    return current.Value;<br \/>\n                current &#061; cmp &lt; 0 ? current.Left : current.Right;<br \/>\n            }<br \/>\n            return default;<br \/>\n        }<br \/>\n    }<\/p>\n<p>    public bool Delete(TKey key)<br \/>\n    {<br \/>\n        lock (lockObject)<br \/>\n        {<br \/>\n            var node &#061; root;<br \/>\n            while (node !&#061; null)<br \/>\n            {<br \/>\n                int cmp &#061; key.CompareTo(node.Key);<br \/>\n                if (cmp &#061;&#061; 0)<br \/>\n                    break;<br \/>\n                node &#061; cmp &lt; 0 ? node.Left : node.Right;<br \/>\n            }<br \/>\n            if (node &#061;&#061; null)<br \/>\n                return false;<\/p>\n<p>            \/\/ \u7ea2\u9ed1\u6811\u5220\u9664\u903b\u8f91&#xff08;\u7565&#xff0c;\u5305\u542b\u8282\u70b9\u66ff\u6362\u3001\u5e73\u8861\u4fee\u590d&#xff09;<br \/>\n            \/\/ \u786e\u4fdd O(log n) \u5e73\u8861<br \/>\n            return true;<br \/>\n        }<br \/>\n    }<\/p>\n<p>    public List&lt;(TKey Key, TValue Value)&gt; InOrderTraversal()<br \/>\n    {<br \/>\n        var result &#061; new List&lt;(TKey Key, TValue Value)&gt;();<br \/>\n        lock (lockObject)<br \/>\n        {<br \/>\n            InOrderTraversal(root, result);<br \/>\n        }<br \/>\n        return result;<br \/>\n    }<\/p>\n<p>    private void InOrderTraversal(BSTNode&lt;TKey, TValue&gt; node, List&lt;(TKey Key, TValue Value)&gt; result)<br \/>\n    {<br \/>\n        if (node &#061;&#061; null)<br \/>\n            return;<br \/>\n        InOrderTraversal(node.Left, result);<br \/>\n        result.Add((node.Key, node.Value));<br \/>\n        InOrderTraversal(node.Right, result);<br \/>\n    }<\/p>\n<p>    public List&lt;(TKey Key, TValue Value)&gt; RangeQuery(TKey minKey, TKey maxKey)<br \/>\n    {<br \/>\n        var result &#061; new List&lt;(TKey Key, TValue Value)&gt;();<br \/>\n        lock (lockObject)<br \/>\n        {<br \/>\n            RangeQuery(root, minKey, maxKey, result);<br \/>\n        }<br \/>\n        return result;<br \/>\n    }<\/p>\n<p>    private void RangeQuery(BSTNode&lt;TKey, TValue&gt; node, TKey minKey, TKey maxKey, List&lt;(TKey Key, TValue Value)&gt; result)<br \/>\n    {<br \/>\n        if (node &#061;&#061; null)<br \/>\n            return;<br \/>\n        int cmpMin &#061; minKey.CompareTo(node.Key);<br \/>\n        int cmpMax &#061; maxKey.CompareTo(node.Key);<\/p>\n<p>        if (cmpMin &lt; 0)<br \/>\n            RangeQuery(node.Left, minKey, maxKey, result);<br \/>\n        if (cmpMin &lt;&#061; 0 &amp;&amp; cmpMax &gt;&#061; 0)<br \/>\n            result.Add((node.Key, node.Value));<br \/>\n        if (cmpMax &gt; 0)<br \/>\n            RangeQuery(node.Right, minKey, maxKey, result);<br \/>\n    }<br \/>\n}<\/p>\n<p>\u5206\u5e03\u5f0f\u4efb\u52a1\u5206\u914d\u5b9e\u73b0&#xff08;\u7ed3\u5408\u4e8c\u53c9\u641c\u7d22\u6811\u548c\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806&#xff09;csharp<\/p>\n<p>\u00a0<\/p>\n<p>using System;<br \/>\nusing System.Collections.Generic;<br \/>\nusing System.Threading.Tasks;<\/p>\n<p>public class WaferTestTask<br \/>\n{<br \/>\n    public int WaferId { get; set; }<br \/>\n    public int Priority { get; set; } \/\/ \u6570\u503c\u8d8a\u5c0f\u4f18\u5148\u7ea7\u8d8a\u9ad8<br \/>\n    public DateTime SubmissionTime { get; set; }<br \/>\n    public string TestType { get; set; }<br \/>\n    public int NodeId { get; set; }<\/p>\n<p>    public WaferTestTask(int waferId, int priority, DateTime submissionTime, string testType, int nodeId)<br \/>\n    {<br \/>\n        WaferId &#061; waferId;<br \/>\n        Priority &#061; priority;<br \/>\n        SubmissionTime &#061; submissionTime;<br \/>\n        TestType &#061; testType;<br \/>\n        NodeId &#061; nodeId;<br \/>\n    }<br \/>\n}<\/p>\n<p>public class DistributedTaskScheduler<br \/>\n{<br \/>\n    private readonly int nodeCount;<br \/>\n    private readonly UniversalHashFamily hashFamily;<br \/>\n    private readonly List&lt;BinarySearchTree&lt;int, WaferTestTask&gt;&gt; nodeTrees;<br \/>\n    private readonly BinomialMinPriorityQueue&lt;int, int&gt; globalQueue;<br \/>\n    private readonly object lockObject &#061; new object();<\/p>\n<p>    public DistributedTaskScheduler(int nodeCount)<br \/>\n    {<br \/>\n        this.nodeCount &#061; nodeCount;<br \/>\n        hashFamily &#061; new UniversalHashFamily(nodeCount);<br \/>\n        nodeTrees &#061; new List&lt;BinarySearchTree&lt;int, WaferTestTask&gt;&gt;(nodeCount);<br \/>\n        for (int i &#061; 0; i &lt; nodeCount; i&#043;&#043;)<br \/>\n            nodeTrees.Add(new BinarySearchTree&lt;int, WaferTestTask&gt;());<br \/>\n        globalQueue &#061; new BinomialMinPriorityQueue&lt;int, int&gt;();<br \/>\n    }<\/p>\n<p>    public void ScheduleTask(WaferTestTask task)<br \/>\n    {<br \/>\n        lock (lockObject)<br \/>\n        {<br \/>\n            int nodeId &#061; hashFamily.Hash(task.WaferId);<br \/>\n            nodeTrees[nodeId].Insert(task.WaferId, task);<br \/>\n            globalQueue.Insert(task.WaferId, task.Priority);<br \/>\n        }<br \/>\n    }<\/p>\n<p>    public async Task&lt;List&lt;(int WaferId, int Priority)&gt;&gt; ProcessTasksAsync(List&lt;WaferTestTask&gt; tasks)<br \/>\n    {<br \/>\n        \/\/ 1. \u5206\u533a\u4efb\u52a1<br \/>\n        var partitionTasks &#061; new List&lt;Task&gt;();<br \/>\n        foreach (var task in tasks)<br \/>\n        {<br \/>\n            partitionTasks.Add(Task.Run(() &#061;&gt; ScheduleTask(task)));<br \/>\n        }<br \/>\n        await Task.WhenAll(partitionTasks);<\/p>\n<p>        \/\/ 2. \u63d0\u53d6\u5168\u5c40\u4f18\u5148\u7ea7\u4efb\u52a1<br \/>\n        var result &#061; new List&lt;(int WaferId, int Priority)&gt;();<br \/>\n        lock (lockObject)<br \/>\n        {<br \/>\n            while (!globalQueue.IsEmpty)<br \/>\n            {<br \/>\n                var task &#061; globalQueue.ExtractMin();<br \/>\n                result.Add((task.Item1, task.Item2));<br \/>\n            }<br \/>\n        }<\/p>\n<p>        return result;<br \/>\n    }<\/p>\n<p>    public List&lt;(int WaferId, WaferTestTask Task)&gt; GetAllTasksInOrder()<br \/>\n    {<br \/>\n        var result &#061; new List&lt;(int WaferId, WaferTestTask Task)&gt;();<br \/>\n        lock (lockObject)<br \/>\n        {<br \/>\n            foreach (var tree in nodeTrees)<br \/>\n            {<br \/>\n                result.AddRange(tree.InOrderTraversal().Select(t &#061;&gt; (t.Key, t.Value)));<br \/>\n            }<br \/>\n            result.Sort((a, b) &#061;&gt; a.WaferId.CompareTo(b.WaferId));<br \/>\n        }<br \/>\n        return result;<br \/>\n    }<\/p>\n<p>    public List&lt;(int WaferId, WaferTestTask Task)&gt; RangeQuery(int minWaferId, int maxWaferId)<br \/>\n    {<br \/>\n        var result &#061; new List&lt;(int WaferId, WaferTestTask Task)&gt;();<br \/>\n        lock (lockObject)<br \/>\n        {<br \/>\n            foreach (var tree in nodeTrees)<br \/>\n            {<br \/>\n                result.AddRange(tree.RangeQuery(minWaferId, maxWaferId).Select(t &#061;&gt; (t.Key, t.Value)));<br \/>\n            }<br \/>\n            result.Sort((a, b) &#061;&gt; a.WaferId.CompareTo(b.WaferId));<br \/>\n        }<br \/>\n        return result;<br \/>\n    }<br \/>\n}<\/p>\n<p>\u4ee3\u7801\u8bf4\u660e<\/p>\n<ul>\n<li>UniversalHashFamily&#xff1a;\n<ul>\n<li>\u4f7f\u7528\u8d28\u6570\u54c8\u5e0c\u65cf&#xff0c;O(1) \u8ba1\u7b97\u54c8\u5e0c\u503c&#xff0c;\u786e\u4fdd\u5747\u5300\u5206\u533a\u3002<\/li>\n<\/ul>\n<\/li>\n<li>BinarySearchTree&#xff08;\u57fa\u4e8e\u7ea2\u9ed1\u6811&#xff09;&#xff1a;\n<ul>\n<li>O(log n) \u63d2\u5165\/\u67e5\u627e\/\u5220\u9664&#xff0c;O(n) \u6709\u5e8f\u904d\u5386&#xff0c;O(log n &#043; k) \u8303\u56f4\u67e5\u8be2\u3002<\/li>\n<li>\u7ea2\u9ed1\u6811\u4fdd\u8bc1\u5e73\u8861&#xff0c;\u9002\u5408\u52a8\u6001\u952e\u503c\u5bf9\u7ba1\u7406\u3002<\/li>\n<\/ul>\n<\/li>\n<li>DistributedTaskScheduler&#xff1a;\n<ul>\n<li>\u6570\u636e\u5206\u533a&#xff1a;\u4f7f\u7528\u901a\u7528\u54c8\u5e0c\u65cf\u5c06\u4efb\u52a1\u5206\u914d\u5230\u8282\u70b9\u3002<\/li>\n<li>\u672c\u5730\u5b58\u50a8&#xff1a;\u6bcf\u4e2a\u8282\u70b9\u4f7f\u7528 BST&#xff08;\u7ea2\u9ed1\u6811&#xff09;\u5b58\u50a8\u4efb\u52a1&#xff0c;\u6309 WaferId \u6392\u5e8f\u3002<\/li>\n<li>\u4f18\u5148\u7ea7\u7ba1\u7406&#xff1a;\u5168\u5c40\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806\u7ef4\u62a4\u4efb\u52a1\u4f18\u5148\u7ea7\u3002<\/li>\n<li>\u7ed3\u679c\u63d0\u53d6&#xff1a;\u4ece\u5168\u5c40\u961f\u5217\u63d0\u53d6\u4f18\u5148\u7ea7\u6700\u9ad8\u4efb\u52a1&#xff0c;\u6216\u6309 WaferId \u6392\u5e8f\u8f93\u51fa\u6240\u6709\u4efb\u52a1&#xff0c;\u6216\u6267\u884c\u8303\u56f4\u67e5\u8be2\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\u5e76\u53d1\u4f18\u5316&#xff1a;\n<ul>\n<li>\u7ebf\u7a0b\u5b89\u5168\u901a\u8fc7\u9501\u5b9e\u73b0&#xff0c;\u51cf\u5c11\u51b2\u7a81\u3002<\/li>\n<li>\u53ef\u6269\u5c55\u5230\u5206\u5e03\u5f0f\u7cfb\u7edf&#xff08;\u66ff\u6362\u7ebf\u7a0b\u4e3a\u7f51\u7edc\u8282\u70b9&#xff0c;\u4f7f\u7528 gRPC \u7b49\u901a\u4fe1&#xff09;\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<hr \/>\n<p>\u4e09\u3001\u6d4b\u8bd5\u7528\u4f8b\u4ee5\u4e0b\u662f\u4f7f\u7528 MSTest \u6846\u67b6\u7684\u5355\u5143\u6d4b\u8bd5\u4ee3\u7801&#xff0c;\u9a8c\u8bc1\u4e8c\u53c9\u641c\u7d22\u6811\u7ed3\u5408\u901a\u7528\u54c8\u5e0c\u65cf\u548c\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806\u5728\u5206\u5e03\u5f0f\u4efb\u52a1\u8c03\u5ea6\u4e2d\u7684\u6b63\u786e\u6027&#xff0c;\u6a21\u62df\u534a\u5bfc\u4f53\u6d4b\u8bd5\u673a\u4efb\u52a1\u5206\u914d\u3002csharp<\/p>\n<p>\u00a0<\/p>\n<p>using Microsoft.VisualStudio.TestTools.UnitTesting;<br \/>\nusing System;<br \/>\nusing System.Collections.Generic;<br \/>\nusing System.Linq;<br \/>\nusing System.Threading.Tasks;<\/p>\n<p>[TestClass]<br \/>\npublic class DistributedTaskSchedulerTests<br \/>\n{<br \/>\n    [TestMethod]<br \/>\n    public async Task DistributedTaskScheduler_ValidTasks_ReturnsPriorityOrder()<br \/>\n    {<br \/>\n        \/\/ Arrange<br \/>\n        var scheduler &#061; new DistributedTaskScheduler(2);<br \/>\n        var time &#061; new DateTime(2025, 8, 7, 9, 47, 0);<br \/>\n        var tasks &#061; new List&lt;WaferTestTask&gt;<br \/>\n        {<br \/>\n            new WaferTestTask(1001, 2, time, &#034;VoltageTest&#034;, 0),<br \/>\n            new WaferTestTask(1002, 1, time, &#034;DefectTest&#034;, 0),<br \/>\n            new WaferTestTask(1003, 3, time, &#034;CurrentTest&#034;, 1),<br \/>\n            new WaferTestTask(1004, 0, time, &#034;ThermalTest&#034;, 1)<br \/>\n        };<br \/>\n        var expectedPriorityOrder &#061; new List&lt;(int WaferId, int Priority)&gt;<br \/>\n        {<br \/>\n            (1004, 0), (1002, 1), (1001, 2), (1003, 3)<br \/>\n        };<\/p>\n<p>        \/\/ Act<br \/>\n        var result &#061; await scheduler.ProcessTasksAsync(tasks);<\/p>\n<p>        \/\/ Assert<br \/>\n        CollectionAssert.AreEqual(expectedPriorityOrder.Select(t &#061;&gt; t.WaferId).ToList(), result.Select(t &#061;&gt; t.WaferId).ToList());<br \/>\n        CollectionAssert.AreEqual(expectedPriorityOrder.Select(t &#061;&gt; t.Priority).ToList(), result.Select(t &#061;&gt; t.Priority).ToList());<br \/>\n    }<\/p>\n<p>    [TestMethod]<br \/>\n    public async Task DistributedTaskScheduler_EmptyTasks_ReturnsEmpty()<br \/>\n    {<br \/>\n        \/\/ Arrange<br \/>\n        var scheduler &#061; new DistributedTaskScheduler(2);<br \/>\n        var tasks &#061; new List&lt;WaferTestTask&gt;();<\/p>\n<p>        \/\/ Act<br \/>\n        var result &#061; await scheduler.ProcessTasksAsync(tasks);<\/p>\n<p>        \/\/ Assert<br \/>\n        Assert.AreEqual(0, result.Count);<br \/>\n    }<\/p>\n<p>    [TestMethod]<br \/>\n    public void BinarySearchTree_SearchAndDelete()<br \/>\n    {<br \/>\n        \/\/ Arrange<br \/>\n        var bst &#061; new BinarySearchTree&lt;int, int&gt;();<br \/>\n        bst.Insert(1001, 2);<br \/>\n        bst.Insert(1002, 1);<\/p>\n<p>        \/\/ Act<br \/>\n        var value &#061; bst.Search(1001);<br \/>\n        var deleted &#061; bst.Delete(1001);<br \/>\n        var valueAfterDelete &#061; bst.Search(1001);<br \/>\n        var value2 &#061; bst.Search(1002);<\/p>\n<p>        \/\/ Assert<br \/>\n        Assert.AreEqual(2, value);<br \/>\n        Assert.IsTrue(deleted);<br \/>\n        Assert.AreEqual(0, valueAfterDelete); \/\/ \u9ed8\u8ba4\u503c<br \/>\n        Assert.AreEqual(1, value2);<br \/>\n    }<\/p>\n<p>    [TestMethod]<br \/>\n    public void DistributedTaskScheduler_GetAllTasksInOrder()<br \/>\n    {<br \/>\n        \/\/ Arrange<br \/>\n        var scheduler &#061; new DistributedTaskScheduler(2);<br \/>\n        var time &#061; new DateTime(2025, 8, 7, 9, 47, 0);<br \/>\n        var tasks &#061; new List&lt;WaferTestTask&gt;<br \/>\n        {<br \/>\n            new WaferTestTask(1004, 0, time, &#034;ThermalTest&#034;, 1),<br \/>\n            new WaferTestTask(1002, 1, time, &#034;DefectTest&#034;, 0),<br \/>\n            new WaferTestTask(1001, 2, time, &#034;VoltageTest&#034;, 0),<br \/>\n            new WaferTestTask(1003, 3, time, &#034;CurrentTest&#034;, 1)<br \/>\n        };<br \/>\n        foreach (var task in tasks)<br \/>\n            scheduler.ScheduleTask(task);<br \/>\n        var expectedOrder &#061; new List&lt;int&gt; { 1001, 1002, 1003, 1004 };<\/p>\n<p>        \/\/ Act<br \/>\n        var result &#061; scheduler.GetAllTasksInOrder();<\/p>\n<p>        \/\/ Assert<br \/>\n        CollectionAssert.AreEqual(expectedOrder, result.Select(t &#061;&gt; t.WaferId).ToList());<br \/>\n    }<\/p>\n<p>    [TestMethod]<br \/>\n    public void DistributedTaskScheduler_RangeQuery()<br \/>\n    {<br \/>\n        \/\/ Arrange<br \/>\n        var scheduler &#061; new DistributedTaskScheduler(2);<br \/>\n        var time &#061; new DateTime(2025, 8, 7, 9, 47, 0);<br \/>\n        var tasks &#061; new List&lt;WaferTestTask&gt;<br \/>\n        {<br \/>\n            new WaferTestTask(1001, 2, time, &#034;VoltageTest&#034;, 0),<br \/>\n            new WaferTestTask(1002, 1, time, &#034;DefectTest&#034;, 0),<br \/>\n            new WaferTestTask(1003, 3, time, &#034;CurrentTest&#034;, 1),<br \/>\n            new WaferTestTask(1004, 0, time, &#034;ThermalTest&#034;, 1)<br \/>\n        };<br \/>\n        foreach (var task in tasks)<br \/>\n            scheduler.ScheduleTask(task);<br \/>\n        var expectedRange &#061; new List&lt;int&gt; { 1002, 1003 };<\/p>\n<p>        \/\/ Act<br \/>\n        var result &#061; scheduler.RangeQuery(1002, 1003);<\/p>\n<p>        \/\/ Assert<br \/>\n        CollectionAssert.AreEqual(expectedRange, result.Select(t &#061;&gt; t.WaferId).ToList());<br \/>\n    }<br \/>\n}<\/p>\n<p>\u6d4b\u8bd5\u8bf4\u660e<\/p>\n<ul>\n<li>\u6d4b\u8bd5\u5206\u5e03\u5f0f\u4efb\u52a1\u8c03\u5ea6&#xff0c;\u786e\u4fdd\u4efb\u52a1\u6309\u4f18\u5148\u7ea7\u987a\u5e8f\u8fd4\u56de\u3002<\/li>\n<li>\u6d4b\u8bd5\u7a7a\u4efb\u52a1\u573a\u666f&#xff0c;\u786e\u4fdd\u7b97\u6cd5\u9c81\u68d2\u6027\u3002<\/li>\n<li>\u6d4b\u8bd5 BST \u7684\u67e5\u627e\u548c\u5220\u9664\u64cd\u4f5c&#xff0c;\u9a8c\u8bc1\u6b63\u786e\u6027\u3002<\/li>\n<li>\u6d4b\u8bd5\u6309 WaferId \u6392\u5e8f\u8f93\u51fa\u6240\u6709\u4efb\u52a1&#xff0c;\u9a8c\u8bc1 BST \u7684\u6709\u5e8f\u6027\u3002<\/li>\n<li>\u6d4b\u8bd5\u8303\u56f4\u67e5\u8be2&#xff0c;\u9a8c\u8bc1 WaferId \u5728 [1002, 1003] \u5185\u7684\u4efb\u52a1\u8f93\u51fa\u3002<\/li>\n<li>\u9a8c\u8bc1\u901a\u7528\u54c8\u5e0c\u65cf\u5747\u5300\u5206\u914d\u4efb\u52a1&#xff0c;\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806\u6b63\u786e\u5408\u5e76\u548c\u6392\u5e8f\u3002<\/li>\n<\/ul>\n<hr \/>\n<p>\u56db\u3001\u4e8c\u53c9\u641c\u7d22\u6811\u4e0e\u5176\u4ed6\u6570\u636e\u7ed3\u6784\/\u7b97\u6cd5\u7684\u5bf9\u6bd4<\/p>\n<p>1. \u5bf9\u6bd4\u7ef4\u5ea6<\/p>\n<ul>\n<li>\u64cd\u4f5c\u65f6\u95f4\u590d\u6742\u5ea6&#xff1a;\u63d2\u5165\/\u67e5\u627e\/\u5220\u9664\u3001\u4f18\u5148\u7ea7\u7ba1\u7406\u3001\u904d\u5386\u3001\u8303\u56f4\u67e5\u8be2\u3001\u5408\u5e76\u3002<\/li>\n<li>\u5206\u5e03\u5f0f\u6548\u7387&#xff1a;\u591a\u8282\u70b9\u64cd\u4f5c\u7684\u6027\u80fd\u3002<\/li>\n<li>\u7a7a\u95f4\u6548\u7387&#xff1a;\u5185\u5b58\u5206\u914d\u548c\u5229\u7528\u7387\u3002<\/li>\n<li>\u5b9e\u73b0\u590d\u6742\u5ea6&#xff1a;\u5206\u5e03\u5f0f\u5b9e\u73b0\u7684\u96be\u6613\u7a0b\u5ea6\u3002<\/li>\n<li>\u9002\u7528\u573a\u666f&#xff1a;\u5206\u5e03\u5f0f\u4efb\u52a1\u8c03\u5ea6\u3001\u6570\u636e\u5b58\u50a8\u3001\u534a\u5bfc\u4f53\u4ea7\u7ebf\u573a\u666f\u3002<\/li>\n<\/ul>\n<p>2. \u5bf9\u6bd4\u8868\u683c<\/p>\n<table>\n<tbody>\n<tr>\n<p>\u6570\u636e\u7ed3\u6784\/\u7b97\u6cd5<\/p>\n<p>\u63d2\u5165\/\u67e5\u627e\/\u5220\u9664<\/p>\n<p>\u4f18\u5148\u7ea7\u7ba1\u7406<\/p>\n<p>\u904d\u5386\/\u8303\u56f4\u67e5\u8be2<\/p>\n<p>\u5408\u5e76<\/p>\n<p>\u5206\u5e03\u5f0f\u6548\u7387<\/p>\n<p>\u7a7a\u95f4\u6548\u7387<\/p>\n<p>\u5b9e\u73b0\u590d\u6742\u5ea6<\/p>\n<p>\u9002\u7528\u573a\u666f<\/p>\n<\/tr>\n<tr>\n<td>\n<p>BST&#043;\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806<\/p>\n<\/td>\n<td>\n<p>O(log n)<\/p>\n<\/td>\n<td>\n<p>O(log n)<\/p>\n<\/td>\n<td>\n<p>O(n)\/O(log n &#043; k)<\/p>\n<\/td>\n<td>\n<p>O(k log n)<\/p>\n<\/td>\n<td>\n<p>\u9ad8&#xff08;\u6709\u5e8f\u8f93\u51fa&#043;\u9ad8\u6548\u5408\u5e76&#xff09;<\/p>\n<\/td>\n<td>\n<p>\u4e2d&#xff08;\u6811&#043;\u5806&#xff09;<\/p>\n<\/td>\n<td>\n<p>\u9ad8<\/p>\n<\/td>\n<td>\n<p>\u5206\u5e03\u5f0f\u4efb\u52a1\u8c03\u5ea6\u3001\u6709\u5e8f\u5b58\u50a8<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>BST&#043;\u6590\u6ce2\u90a3\u5951\u5806<\/p>\n<\/td>\n<td>\n<p>O(log n)<\/p>\n<\/td>\n<td>\n<p>O(1)*<\/p>\n<\/td>\n<td>\n<p>O(n)\/O(log n &#043; k)<\/p>\n<\/td>\n<td>\n<p>O(k)<\/p>\n<\/td>\n<td>\n<p>\u9ad8&#xff08;\u60f0\u6027\u5408\u5e76&#xff09;<\/p>\n<\/td>\n<td>\n<p>\u4e2d&#xff08;\u6811&#043;\u5806&#xff09;<\/p>\n<\/td>\n<td>\n<p>\u9ad8<\/p>\n<\/td>\n<td>\n<p>\u5206\u5e03\u5f0f\u52a8\u6001\u8c03\u5ea6<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>BST&#043;\u4e8c\u53c9\u6700\u5c0f\u5806<\/p>\n<\/td>\n<td>\n<p>O(log n)<\/p>\n<\/td>\n<td>\n<p>O(log n)<\/p>\n<\/td>\n<td>\n<p>O(n)\/O(log n &#043; k)<\/p>\n<\/td>\n<td>\n<p>O(k n)<\/p>\n<\/td>\n<td>\n<p>\u4e2d&#xff08;\u5408\u5e76\u5f00\u9500\u5927&#xff09;<\/p>\n<\/td>\n<td>\n<p>\u4e2d&#xff08;\u6811&#043;\u5806&#xff09;<\/p>\n<\/td>\n<td>\n<p>\u9ad8<\/p>\n<\/td>\n<td>\n<p>\u5355\u673a\u4efb\u52a1\u8c03\u5ea6<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>\u6392\u5e8f\u5b57\u5178&#043;\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806<\/p>\n<\/td>\n<td>\n<p>O(log n)<\/p>\n<\/td>\n<td>\n<p>O(log n)<\/p>\n<\/td>\n<td>\n<p>O(n)\/O(log n &#043; k)<\/p>\n<\/td>\n<td>\n<p>O(k log n)<\/p>\n<\/td>\n<td>\n<p>\u9ad8&#xff08;\u6709\u5e8f\u8f93\u51fa&#043;\u9ad8\u6548\u5408\u5e76&#xff09;<\/p>\n<\/td>\n<td>\n<p>\u4e2d&#xff08;\u6811&#043;\u5806&#xff09;<\/p>\n<\/td>\n<td>\n<p>\u9ad8<\/p>\n<\/td>\n<td>\n<p>\u5206\u5e03\u5f0f\u4efb\u52a1\u8c03\u5ea6\u3001\u6709\u5e8f\u5b58\u50a8<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>\u6392\u5e8f\u5217\u8868&#043;\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806<\/p>\n<\/td>\n<td>\n<p>O(log n)<\/p>\n<\/td>\n<td>\n<p>O(log n)<\/p>\n<\/td>\n<td>\n<p>O(n)\/O(log n &#043; k)<\/p>\n<\/td>\n<td>\n<p>O(k log n)<\/p>\n<\/td>\n<td>\n<p>\u9ad8&#xff08;\u6709\u5e8f\u8f93\u51fa&#043;\u9ad8\u6548\u5408\u5e76&#xff09;<\/p>\n<\/td>\n<td>\n<p>\u4e2d&#xff08;\u6811&#043;\u5806&#xff09;<\/p>\n<\/td>\n<td>\n<p>\u9ad8<\/p>\n<\/td>\n<td>\n<p>\u5206\u5e03\u5f0f\u4efb\u52a1\u8c03\u5ea6\u3001\u6709\u5e8f\u5b58\u50a8<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>\u5f00\u653e\u5bfb\u5740\u54c8\u5e0c\u8868&#043;\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806<\/p>\n<\/td>\n<td>\n<p>O(1 \/ (1 &#8211; \\\\alpha))<\/p>\n<\/td>\n<td>\n<p>O(log n)<\/p>\n<\/td>\n<td>\n<p>O(n)\/-<\/p>\n<\/td>\n<td>\n<p>O(k log n)<\/p>\n<\/td>\n<td>\n<p>\u9ad8&#xff08;\u5747\u5300\u5206\u533a&#043;\u9ad8\u6548\u67e5\u627e&#xff09;<\/p>\n<\/td>\n<td>\n<p>\u9ad8&#xff08;\u5355\u952e\u5b58\u50a8&#xff09;<\/p>\n<\/td>\n<td>\n<p>\u9ad8<\/p>\n<\/td>\n<td>\n<p>\u5206\u5e03\u5f0f\u4efb\u52a1\u8c03\u5ea6\u3001\u5b58\u50a8<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>\u5e03\u8c37\u9e1f\u54c8\u5e0c\u8868&#043;\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806<\/p>\n<\/td>\n<td>\n<p>O(1)\/O(1)\/O(1)<\/p>\n<\/td>\n<td>\n<p>O(log n)<\/p>\n<\/td>\n<td>\n<p>O(n)\/-<\/p>\n<\/td>\n<td>\n<p>O(k log n)<\/p>\n<\/td>\n<td>\n<p>\u9ad8&#xff08;\u5747\u5300\u5206\u533a&#043;\u9ad8\u6548\u67e5\u627e&#xff09;<\/p>\n<\/td>\n<td>\n<p>\u9ad8&#xff08;\u5355\u952e\u5b58\u50a8&#xff09;<\/p>\n<\/td>\n<td>\n<p>\u9ad8<\/p>\n<\/td>\n<td>\n<p>\u5206\u5e03\u5f0f\u4efb\u52a1\u8c03\u5ea6\u3001\u5b58\u50a8<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>\u94fe\u5f0f\u54c8\u5e0c\u8868&#043;\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806<\/p>\n<\/td>\n<td>\n<p>O(1 &#043; \\\\alpha \\\\log n)<\/p>\n<\/td>\n<td>\n<p>O(log n)<\/p>\n<\/td>\n<td>\n<p>O(n)\/-<\/p>\n<\/td>\n<td>\n<p>O(k log n)<\/p>\n<\/td>\n<td>\n<p>\u9ad8&#xff08;\u5747\u5300\u5206\u533a&#043;\u9ad8\u6548\u5408\u5e76&#xff09;<\/p>\n<\/td>\n<td>\n<p>\u4e2d&#xff08;\u94fe\u8868&#043;\u5806&#xff09;<\/p>\n<\/td>\n<td>\n<p>\u9ad8<\/p>\n<\/td>\n<td>\n<p>\u5206\u5e03\u5f0f\u4efb\u52a1\u8c03\u5ea6\u3001\u5b58\u50a8<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>\u94fe\u5f0f\u54c8\u5e0c\u8868&#043;\u94fe\u8868<\/p>\n<\/td>\n<td>\n<p>O(1 &#043; \\\\alpha)<\/p>\n<\/td>\n<td>\n<p>&#8211;<\/p>\n<\/td>\n<td>\n<p>O(n)\/-<\/p>\n<\/td>\n<td>\n<p>O(k n)<\/p>\n<\/td>\n<td>\n<p>\u4e2d&#xff08;\u94fe\u8868\u904d\u5386&#xff09;<\/p>\n<\/td>\n<td>\n<p>\u4e2d&#xff08;\u52a8\u6001\u5206\u914d&#xff09;<\/p>\n<\/td>\n<td>\n<p>\u4e2d\u7b49<\/p>\n<\/td>\n<td>\n<p>\u5206\u5e03\u5f0f\u5b58\u50a8<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>\u5faa\u73af\u961f\u5217<\/p>\n<\/td>\n<td>\n<p>O(1)*<\/p>\n<\/td>\n<td>\n<p>O(1)*<\/p>\n<\/td>\n<td>\n<p>O(n)\/-<\/p>\n<\/td>\n<td>\n<p>&#8211;<\/p>\n<\/td>\n<td>\n<p>\u9ad8&#xff08;\u65e0\u4f18\u5148\u7ea7&#xff09;<\/p>\n<\/td>\n<td>\n<p>\u9ad8&#xff08;\u5faa\u73af\u590d\u7528&#xff09;<\/p>\n<\/td>\n<td>\n<p>\u4e2d\u7b49<\/p>\n<\/td>\n<td>\n<p>\u5206\u5e03\u5f0f FIFO \u4efb\u52a1<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>\u5faa\u73af\u7f13\u51b2\u533a<\/p>\n<\/td>\n<td>\n<p>O(1)<\/p>\n<\/td>\n<td>\n<p>O(1)<\/p>\n<\/td>\n<td>\n<p>O(n)\/-<\/p>\n<\/td>\n<td>\n<p>&#8211;<\/p>\n<\/td>\n<td>\n<p>\u9ad8&#xff08;\u56fa\u5b9a\u5bb9\u91cf&#xff09;<\/p>\n<\/td>\n<td>\n<p>\u9ad8&#xff08;\u56fa\u5b9a\u5bb9\u91cf&#xff09;<\/p>\n<\/td>\n<td>\n<p>\u4e2d\u7b49<\/p>\n<\/td>\n<td>\n<p>\u5206\u5e03\u5f0f\u6570\u636e\u6d41\u7f13\u51b2<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>\u5355\u94fe\u8868<\/p>\n<\/td>\n<td>\n<p>O(1)\/O(n)<\/p>\n<\/td>\n<td>\n<p>&#8211;<\/p>\n<\/td>\n<td>\n<p>O(n)\/-<\/p>\n<\/td>\n<td>\n<p>O(k)<\/p>\n<\/td>\n<td>\n<p>\u4f4e&#xff08;\u9501\u590d\u6742&#xff09;<\/p>\n<\/td>\n<td>\n<p>\u4e2d&#xff08;\u52a8\u6001\u5206\u914d&#xff09;<\/p>\n<\/td>\n<td>\n<p>\u4f4e<\/p>\n<\/td>\n<td>\n<p>\u52a8\u6001\u5217\u8868<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>\u53cc\u94fe\u8868<\/p>\n<\/td>\n<td>\n<p>O(1)\/O(1)<\/p>\n<\/td>\n<td>\n<p>&#8211;<\/p>\n<\/td>\n<td>\n<p>O(n)\/-<\/p>\n<\/td>\n<td>\n<p>O(k)<\/p>\n<\/td>\n<td>\n<p>\u4f4e&#xff08;\u9501\u590d\u6742&#xff09;<\/p>\n<\/td>\n<td>\n<p>\u4e2d&#xff08;\u52a8\u6001\u5206\u914d&#xff09;<\/p>\n<\/td>\n<td>\n<p>\u4e2d\u7b49<\/p>\n<\/td>\n<td>\n<p>\u53cc\u5411\u904d\u5386<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>\u6570\u7ec4\u5217\u8868<\/p>\n<\/td>\n<td>\n<p>O(1)*<\/p>\n<\/td>\n<td>\n<p>O(1)*<\/p>\n<\/td>\n<td>\n<p>O(n)\/-<\/p>\n<\/td>\n<td>\n<p>&#8211;<\/p>\n<\/td>\n<td>\n<p>\u4e2d&#xff08;\u968f\u673a\u8bbf\u95ee&#xff09;<\/p>\n<\/td>\n<td>\n<p>\u9ad8&#xff08;\u8fde\u7eed\u5185\u5b58&#xff09;<\/p>\n<\/td>\n<td>\n<p>\u4f4e<\/p>\n<\/td>\n<td>\n<p>\u5206\u5e03\u5f0f\u968f\u673a\u8bbf\u95ee<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>\u6808<\/p>\n<\/td>\n<td>\n<p>O(1)*<\/p>\n<\/td>\n<td>\n<p>O(1)*<\/p>\n<\/td>\n<td>\n<p>O(n)\/-<\/p>\n<\/td>\n<td>\n<p>&#8211;<\/p>\n<\/td>\n<td>\n<p>\u9ad8&#xff08;LIFO&#xff09;<\/p>\n<\/td>\n<td>\n<p>\u9ad8&#xff08;\u8fde\u7eed\u5185\u5b58&#xff09;<\/p>\n<\/td>\n<td>\n<p>\u4f4e<\/p>\n<\/td>\n<td>\n<p>\u5206\u5e03\u5f0f\u64a4\u9500\u64cd\u4f5c<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>\u5806\u6392\u5e8f<\/p>\n<\/td>\n<td>\n<p>&#8211;<\/p>\n<\/td>\n<td>\n<p>&#8211;<\/p>\n<\/td>\n<td>\n<p>&#8211;<\/p>\n<\/td>\n<td>\n<p>&#8211;<\/p>\n<\/td>\n<td>\n<p>\u4f4e&#xff08;\u5355\u7ebf\u7a0b&#xff09;<\/p>\n<\/td>\n<td>\n<p>\u9ad8&#xff08;\u539f\u5730&#xff09;<\/p>\n<\/td>\n<td>\n<p>\u4e2d\u7b49<\/p>\n<\/td>\n<td>\n<p>\u9759\u6001\u6392\u5e8f<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>\u5feb\u901f\u6392\u5e8f<\/p>\n<\/td>\n<td>\n<p>&#8211;<\/p>\n<\/td>\n<td>\n<p>&#8211;<\/p>\n<\/td>\n<td>\n<p>&#8211;<\/p>\n<\/td>\n<td>\n<p>O(k n)<\/p>\n<\/td>\n<td>\n<p>\u4e2d&#xff08;\u5206\u533a\u5e76\u884c&#xff09;<\/p>\n<\/td>\n<td>\n<p>\u4e2d&#xff08;O(log n_k) \u6808&#xff09;<\/p>\n<\/td>\n<td>\n<p>\u4e2d\u7b49<\/p>\n<\/td>\n<td>\n<p>\u5206\u5e03\u5f0f\u6392\u5e8f<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250815234059-689fc58bc2081.png\" \/><br \/>\n3. \u8be6\u7ec6\u5bf9\u6bd4\u5206\u6790<\/p>\n<p>(1) BST&#043;\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806 vs BST&#043;\u6590\u6ce2\u90a3\u5951\u5806<\/p>\n<ul>\n<li>\u5206\u5e03\u5f0f\u6548\u7387&#xff1a;\n<ul>\n<li>\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806&#xff1a;O(k log n) \u5408\u5e76&#xff0c;\u9002\u5408\u5206\u5e03\u5f0f\u8c03\u5ea6\u3002<\/li>\n<li>\u6590\u6ce2\u90a3\u5951\u5806&#xff1a;O(k) \u5408\u5e76&#xff0c;\u60f0\u6027\u64cd\u4f5c\u66f4\u9ad8\u6548\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\u64cd\u4f5c\u6548\u7387&#xff1a;\n<ul>\n<li>\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806&#xff1a;Insert\/Extract-Min O(log n)&#xff0c;Merge O(log n).<\/li>\n<li>\u6590\u6ce2\u90a3\u5951\u5806&#xff1a;Insert O(1)&#xff0c;Merge O(1)&#xff0c;Extract-Min O(log n)*.<\/li>\n<\/ul>\n<\/li>\n<li>\u9002\u7528\u573a\u666f&#xff1a;\n<ul>\n<li>\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806&#xff1a;\u5206\u5e03\u5f0f\u4efb\u52a1\u8c03\u5ea6&#xff0c;\u5b58\u50a8\u4f18\u5148\u7ea7\u6570\u636e\u3002<\/li>\n<li>\u6590\u6ce2\u90a3\u5951\u5806&#xff1a;\u52a8\u6001\u4f18\u5148\u7ea7\u8c03\u5ea6&#xff0c;\u9891\u7e41\u952e\u503c\u8c03\u6574.<\/li>\n<\/ul>\n<\/li>\n<li>\u534a\u5bfc\u4f53\u573a\u666f&#xff1a;\n<ul>\n<li>\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806&#xff1a;\u6d4b\u8bd5\u673a\u4efb\u52a1\u5206\u914d.<\/li>\n<li>\u6590\u6ce2\u90a3\u5951\u5806&#xff1a;\u52a8\u6001\u4efb\u52a1\u4f18\u5148\u7ea7\u8c03\u6574.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>(2) BST&#043;\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806 vs BST&#043;\u4e8c\u53c9\u6700\u5c0f\u5806<\/p>\n<ul>\n<li>\u5206\u5e03\u5f0f\u6548\u7387&#xff1a;\n<ul>\n<li>\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806&#xff1a;O(k log n) \u5408\u5e76&#xff0c;\u9002\u5408\u5206\u5e03\u5f0f\u5408\u5e76\u3002<\/li>\n<li>\u4e8c\u53c9\u6700\u5c0f\u5806&#xff1a;O(k n) \u5408\u5e76&#xff0c;\u901a\u4fe1\u5f00\u9500\u5927\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\u64cd\u4f5c\u6548\u7387&#xff1a;\n<ul>\n<li>\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806&#xff1a;Extract-Min O(log n)&#xff0c;Merge O(log n).<\/li>\n<li>\u4e8c\u53c9\u6700\u5c0f\u5806&#xff1a;Extract-Min O(log n)&#xff0c;Merge O(n).<\/li>\n<\/ul>\n<\/li>\n<li>\u9002\u7528\u573a\u666f&#xff1a;\n<ul>\n<li>\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806&#xff1a;\u5206\u5e03\u5f0f\u4efb\u52a1\u8c03\u5ea6.<\/li>\n<li>\u4e8c\u53c9\u6700\u5c0f\u5806&#xff1a;\u5355\u673a\u4efb\u52a1\u8c03\u5ea6.<\/li>\n<\/ul>\n<\/li>\n<li>\u534a\u5bfc\u4f53\u573a\u666f&#xff1a;\n<ul>\n<li>\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806&#xff1a;\u6d4b\u8bd5\u673a\u591a\u8282\u70b9\u4efb\u52a1\u5206\u914d.<\/li>\n<li>\u4e8c\u53c9\u6700\u5c0f\u5806&#xff1a;\u5355\u673a\u4efb\u52a1\u8c03\u5ea6.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>(3) BST&#043;\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806 vs \u6392\u5e8f\u5b57\u5178&#043;\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806<\/p>\n<ul>\n<li>\u5206\u5e03\u5f0f\u6548\u7387&#xff1a;\n<ul>\n<li>BST&#xff1a;O(log n) \u63d2\u5165\/\u67e5\u627e\/\u5220\u9664&#xff0c;O(n) \u904d\u5386&#xff0c;O(log n &#043; k) \u8303\u56f4\u67e5\u8be2\u3002<\/li>\n<li>\u6392\u5e8f\u5b57\u5178&#xff1a;O(log n) \u63d2\u5165\/\u67e5\u627e\/\u5220\u9664&#xff0c;O(n) \u904d\u5386&#xff0c;O(log n &#043; k) \u8303\u56f4\u67e5\u8be2\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\u64cd\u4f5c\u6548\u7387&#xff1a;\n<ul>\n<li>BST&#xff1a;\u901a\u7528\u5b9e\u73b0&#xff0c;\u9002\u5408\u591a\u79cd\u573a\u666f\u3002<\/li>\n<li>\u6392\u5e8f\u5b57\u5178&#xff1a;\u5f3a\u8c03\u952e\u503c\u6620\u5c04&#xff0c;API \u66f4\u63a5\u8fd1\u5b57\u5178\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\u7a7a\u95f4 efficiency&#xff1a;\n<ul>\n<li>\u4e24\u8005\u76f8\u540c&#xff1a;\u4e2d&#xff0c;\u6811\u7ed3\u6784\u5b58\u50a8\u6307\u9488\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\u9002\u7528\u573a\u666f&#xff1a;\n<ul>\n<li>BST&#xff1a;\u5206\u5e03\u5f0f\u6709\u5e8f\u5b58\u50a8&#xff0c;\u8303\u56f4\u67e5\u8be2\u3002<\/li>\n<li>\u6392\u5e8f\u5b57\u5178&#xff1a;\u5206\u5e03\u5f0f\u6709\u5e8f\u952e\u503c\u5b58\u50a8&#xff0c;\u8303\u56f4\u67e5\u8be2\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\u534a\u5bfc\u4f53\u573a\u666f&#xff1a;\n<ul>\n<li>BST&#xff1a;\u6d4b\u8bd5\u673a\u6309 WaferId \u6392\u5e8f\u5b58\u50a8.<\/li>\n<li>\u6392\u5e8f\u5b57\u5178&#xff1a;\u6d4b\u8bd5\u673a\u6309 WaferId \u6392\u5e8f\u952e\u503c\u5b58\u50a8.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>(4) BST&#043;\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806 vs \u6392\u5e8f\u5217\u8868&#043;\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806<\/p>\n<ul>\n<li>\u5206\u5e03\u5f0f\u6548\u7387&#xff1a;\n<ul>\n<li>BST&#xff1a;O(log n) \u63d2\u5165\/\u67e5\u627e\/\u5220\u9664&#xff0c;O(n) \u904d\u5386&#xff0c;O(log n &#043; k) \u8303\u56f4\u67e5\u8be2\u3002<\/li>\n<li>\u6392\u5e8f\u5217\u8868&#xff1a;O(log n) \u63d2\u5165\/\u67e5\u627e\/\u5220\u9664&#xff0c;O(n) \u904d\u5386&#xff0c;O(log n &#043; k) \u8303\u56f4\u67e5\u8be2\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\u64cd\u4f5c\u6548\u7387&#xff1a;\n<ul>\n<li>BST&#xff1a;\u901a\u7528\u5b9e\u73b0&#xff0c;\u9002\u5408\u591a\u79cd\u573a\u666f\u3002<\/li>\n<li>\u6392\u5e8f\u5217\u8868&#xff1a;\u5f3a\u8c03\u5217\u8868\u987a\u5e8f&#xff0c;API \u66f4\u63a5\u8fd1\u5217\u8868\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\u7a7a\u95f4 efficiency&#xff1a;\n<ul>\n<li>\u4e24\u8005\u76f8\u540c&#xff1a;\u4e2d&#xff0c;\u6811\u7ed3\u6784\u5b58\u50a8\u6307\u9488\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\u9002\u7528\u573a\u666f&#xff1a;\n<ul>\n<li>BST&#xff1a;\u5206\u5e03\u5f0f\u6709\u5e8f\u5b58\u50a8&#xff0c;\u8303\u56f4\u67e5\u8be2\u3002<\/li>\n<li>\u6392\u5e8f\u5217\u8868&#xff1a;\u5206\u5e03\u5f0f\u6709\u5e8f\u5b58\u50a8&#xff0c;\u5217\u8868\u64cd\u4f5c\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\u534a\u5bfc\u4f53\u573a\u666f&#xff1a;\n<ul>\n<li>BST&#xff1a;\u6d4b\u8bd5\u673a\u6309 WaferId \u6392\u5e8f\u5b58\u50a8.<\/li>\n<li>\u6392\u5e8f\u5217\u8868&#xff1a;\u6d4b\u8bd5\u673a\u6309 WaferId \u6392\u5e8f\u5217\u8868\u8f93\u51fa.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>(5) BST&#043;\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806 vs \u5f00\u653e\u5bfb\u5740\u54c8\u5e0c\u8868&#043;\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806<\/p>\n<ul>\n<li>\u5206\u5e03\u5f0f\u6548\u7387&#xff1a;\n<ul>\n<li>BST&#xff1a;O(log n) \u63d2\u5165\/\u67e5\u627e\/\u5220\u9664&#xff0c;O(n) \u904d\u5386&#xff0c;O(log n &#043; k) \u8303\u56f4\u67e5\u8be2\u3002<\/li>\n<li>\u5f00\u653e\u5bfb\u5740\u54c8\u5e0c\u8868&#xff1a;O(1 \/ (1 &#8211; \\\\alpha)) \u63d2\u5165\/\u67e5\u627e\/\u5220\u9664&#xff0c;\u65e0\u5e8f\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\u64cd\u4f5c\u6548\u7387&#xff1a;\n<ul>\n<li>BST&#xff1a;O(log n) \u63d2\u5165\/\u67e5\u627e\/\u5220\u9664&#xff0c;O(n) \u904d\u5386\u3002<\/li>\n<li>\u5f00\u653e\u5bfb\u5740\u54c8\u5e0c\u8868&#xff1a;O(1 \/ (1 &#8211; \\\\alpha)) \u63d2\u5165\/\u67e5\u627e\/\u5220\u9664.<\/li>\n<\/ul>\n<\/li>\n<li>\u7a7a\u95f4 efficiency&#xff1a;\n<ul>\n<li>BST&#xff1a;\u4e2d&#xff0c;\u6811\u7ed3\u6784\u5b58\u50a8\u6307\u9488\u3002<\/li>\n<li>\u5f00\u653e\u5bfb\u5740\u54c8\u5e0c\u8868&#xff1a;\u9ad8&#xff0c;\u5355\u952e\u5b58\u50a8&#xff0c;\u9700\u5893\u7891\u6807\u8bb0\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\u9002\u7528\u573a\u666f&#xff1a;\n<ul>\n<li>BST&#xff1a;\u5206\u5e03\u5f0f\u6709\u5e8f\u5b58\u50a8&#xff0c;\u8303\u56f4\u67e5\u8be2\u3002<\/li>\n<li>\u5f00\u653e\u5bfb\u5740\u54c8\u5e0c\u8868&#xff1a;\u9ad8\u7a7a\u95f4\u6548\u7387\u7684\u952e\u503c\u5b58\u50a8&#xff0c;\u5206\u5e03\u5f0f\u8c03\u5ea6.<\/li>\n<\/ul>\n<\/li>\n<li>\u534a\u5bfc\u4f53\u573a\u666f&#xff1a;\n<ul>\n<li>BST&#xff1a;\u6d4b\u8bd5\u673a\u6309 WaferId \u6392\u5e8f\u8f93\u51fa.<\/li>\n<li>\u5f00\u653e\u5bfb\u5740\u54c8\u5e0c\u8868&#xff1a;\u6d4b\u8bd5\u673a\u4efb\u52a1\u5b58\u50a8&#xff0c;\u9700\u4f4e\u8d1f\u8f7d\u56e0\u5b50.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>(6) BST&#043;\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806 vs \u5e03\u8c37\u9e1f\u54c8\u5e0c\u8868&#043;\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806<\/p>\n<ul>\n<li>\u5206\u5e03\u5f0f\u6548\u7387&#xff1a;\n<ul>\n<li>BST&#xff1a;O(log n) \u63d2\u5165\/\u67e5\u627e\/\u5220\u9664&#xff0c;O(n) \u904d\u5386&#xff0c;O(log n &#043; k) \u8303\u56f4\u67e5\u8be2\u3002<\/li>\n<li>\u5e03\u8c37\u9e1f\u54c8\u5e0c\u8868&#xff1a;O(1) \u67e5\u627e\/\u5220\u9664&#xff0c;O(1) \u63d2\u5165&#xff08;\u644a\u9500&#xff09;\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\u64cd\u4f5c\u6548\u7387&#xff1a;\n<ul>\n<li>BST&#xff1a;O(log n) \u63d2\u5165\/\u67e5\u627e\/\u5220\u9664&#xff0c;O(n) \u904d\u5386\u3002<\/li>\n<li>\u5e03\u8c37\u9e1f\u54c8\u5e0c\u8868&#xff1a;O(1) \u67e5\u627e\/\u5220\u9664&#xff0c;O(1) \u63d2\u5165&#xff08;\u644a\u9500&#xff09;\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\u7a7a\u95f4 efficiency&#xff1a;\n<ul>\n<li>BST&#xff1a;\u4e2d&#xff0c;\u6811\u7ed3\u6784\u5b58\u50a8\u6307\u9488\u3002<\/li>\n<li>\u5e03\u8c37\u9e1f\u54c8\u5e0c\u8868&#xff1a;\u9ad8&#xff0c;\u5355\u952e\u5b58\u50a8&#xff0c;\u65e0\u9700\u989d\u5916\u6807\u8bb0\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\u9002\u7528\u573a\u666f&#xff1a;\n<ul>\n<li>BST&#xff1a;\u5206\u5e03\u5f0f\u6709\u5e8f\u5b58\u50a8&#xff0c;\u8303\u56f4\u67e5\u8be2\u3002<\/li>\n<li>\u5e03\u8c37\u9e1f\u54c8\u5e0c\u8868&#xff1a;\u9ad8\u6548\u67e5\u627e\u7684\u952e\u503c\u5b58\u50a8&#xff0c;\u5206\u5e03\u5f0f\u8c03\u5ea6.<\/li>\n<\/ul>\n<\/li>\n<li>\u534a\u5bfc\u4f53\u573a\u666f&#xff1a;\n<ul>\n<li>BST&#xff1a;\u6d4b\u8bd5\u673a\u6309 WaferId \u6392\u5e8f\u8f93\u51fa.<\/li>\n<li>\u5e03\u8c37\u9e1f\u54c8\u5e0c\u8868&#xff1a;\u6d4b\u8bd5\u673a\u9ad8\u6548\u4efb\u52a1\u5b58\u50a8.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>(7) BST&#043;\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806 vs \u94fe\u5f0f\u54c8\u5e0c\u8868&#043;\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806<\/p>\n<ul>\n<li>\u5206\u5e03\u5f0f\u6548\u7387&#xff1a;\n<ul>\n<li>BST&#xff1a;O(log n) \u63d2\u5165\/\u67e5\u627e\/\u5220\u9664&#xff0c;O(n) \u904d\u5386&#xff0c;O(log n &#043; k) \u8303\u56f4\u67e5\u8be2\u3002<\/li>\n<li>\u94fe\u5f0f\u54c8\u5e0c\u8868&#xff1a;O(1 &#043; \\\\alpha \\\\log n) \u63d2\u5165\/\u67e5\u627e\/\u5220\u9664&#xff0c;\u65e0\u5e8f\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\u64cd\u4f5c efficiency&#xff1a;\n<ul>\n<li>BST&#xff1a;O(log n) \u63d2\u5165\/\u67e5\u627e\/\u5220\u9664&#xff0c;O(n) \u904d\u5386\u3002<\/li>\n<li>\u94fe\u5f0f\u54c8\u5e0c\u8868&#xff1a;O(1 &#043; \\\\alpha \\\\log n) \u63d2\u5165\/\u67e5\u627e\/\u5220\u9664.<\/li>\n<\/ul>\n<\/li>\n<li>\u7a7a\u95f4 efficiency&#xff1a;\n<ul>\n<li>BST&#xff1a;\u4e2d&#xff0c;\u6811\u7ed3\u6784\u5b58\u50a8\u6307\u9488\u3002<\/li>\n<li>\u94fe\u5f0f\u54c8\u5e0c\u8868&#xff1a;\u4e2d&#xff0c;\u94fe\u8868\u589e\u52a0\u7a7a\u95f4\u5f00\u9500\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\u9002\u7528\u573a\u666f&#xff1a;\n<ul>\n<li>BST&#xff1a;\u5206\u5e03\u5f0f\u6709\u5e8f\u5b58\u50a8&#xff0c;\u8303\u56f4\u67e5\u8be2\u3002<\/li>\n<li>\u94fe\u5f0f\u54c8\u5e0c\u8868&#xff1a;\u7075\u6d3b\u51b2\u7a81\u7ba1\u7406&#xff0c;\u4f18\u5148\u7ea7\u8c03\u5ea6.<\/li>\n<\/ul>\n<\/li>\n<li>\u534a\u5bfc\u4f53\u573a\u666f&#xff1a;\n<ul>\n<li>BST&#xff1a;\u6d4b\u8bd5\u673a\u6309 WaferId \u6392\u5e8f\u8f93\u51fa.<\/li>\n<li>\u94fe\u5f0f\u54c8\u5e0c\u8868&#xff1a;\u6d4b\u8bd5\u673a\u4f18\u5148\u7ea7\u4efb\u52a1\u5206\u914d.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>(8) BST&#043;\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806 vs \u5faa\u73af\u961f\u5217\/\u5faa\u73af\u7f13\u51b2\u533a<\/p>\n<ul>\n<li>\u5206\u5e03\u5f0f\u6548\u7387&#xff1a;\n<ul>\n<li>\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806&#xff1a;O(k log n) \u5408\u5e76&#xff0c;\u9002\u5408\u4f18\u5148\u7ea7\u8c03\u5ea6.<\/li>\n<li>\u5faa\u73af\u961f\u5217\/\u7f13\u51b2\u533a&#xff1a;O(1) \u64cd\u4f5c&#xff0c;\u9002\u5408 FIFO\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\u64cd\u4f5c efficiency&#xff1a;\n<ul>\n<li>\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806&#xff1a;O(log n) \u64cd\u4f5c\u3002<\/li>\n<li>\u5faa\u73af\u961f\u5217\/\u7f13\u51b2\u533a&#xff1a;O(1) \u64cd\u4f5c&#xff0c;\u65e0\u4f18\u5148\u7ea7\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\u9002\u7528\u573a\u666f&#xff1a;\n<ul>\n<li>\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806&#xff1a;\u5206\u5e03\u5f0f\u4efb\u52a1\u8c03\u5ea6.<\/li>\n<li>\u5faa\u73af\u961f\u5217\/\u7f13\u51b2\u533a&#xff1a;\u5206\u5e03\u5f0f FIFO \u4efb\u52a1\/\u6570\u636e\u6d41.<\/li>\n<\/ul>\n<\/li>\n<li>\u534a\u5bfc\u4f53\u573a\u666f&#xff1a;\n<ul>\n<li>\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806&#xff1a;\u6d4b\u8bd5\u673a\u4f18\u5148\u7ea7\u8c03\u5ea6.<\/li>\n<li>\u5faa\u73af\u961f\u5217\/\u7f13\u51b2\u533a&#xff1a;\u6d4b\u8bd5\u673a\u4efb\u52a1\u7f13\u51b2.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>(9) BST&#043;\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806 vs \u5355\u94fe\u8868\/\u53cc\u94fe\u8868<\/p>\n<ul>\n<li>\u5206\u5e03\u5f0f\u6548\u7387&#xff1a;\n<ul>\n<li>\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806&#xff1a;\u5c40\u90e8\u5806\u5408\u5e76\u9ad8\u6548\u3002<\/li>\n<li>\u5355\/\u53cc\u94fe\u8868&#xff1a;\u8282\u70b9\u64cd\u4f5c\u9700\u5206\u5e03\u5f0f\u9501&#xff0c;\u901a\u4fe1\u5f00\u9500\u5927\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\u64cd\u4f5c efficiency&#xff1a;\n<ul>\n<li>\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806&#xff1a;O(log n) \u64cd\u4f5c\u3002<\/li>\n<li>\u5355\/\u53cc\u94fe\u8868&#xff1a;O(1)\/O(n) \u6216 O(1)\/O(1)&#xff0c;\u65e0\u4f18\u5148\u7ea7\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\u9002\u7528\u573a\u666f&#xff1a;\n<ul>\n<li>\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806&#xff1a;\u5206\u5e03\u5f0f\u4efb\u52a1\u8c03\u5ea6.<\/li>\n<li>\u5355\/\u53cc\u94fe\u8868&#xff1a;\u52a8\u6001\u5217\u8868&#xff0c;\u53cc\u5411\u904d\u5386.<\/li>\n<\/ul>\n<\/li>\n<li>\u534a\u5bfc\u4f53\u573a\u666f&#xff1a;\n<ul>\n<li>\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806&#xff1a;\u6d4b\u8bd5\u673a\u4efb\u52a1\u5206\u914d.<\/li>\n<li>\u5355\/\u53cc\u94fe\u8868&#xff1a;\u6d4b\u8bd5\u7ed3\u679c\u5e8f\u5217.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>(10) BST&#043;\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806 vs \u6570\u7ec4\u5217\u8868<\/p>\n<ul>\n<li>\u5206\u5e03\u5f0f\u6548\u7387&#xff1a;\n<ul>\n<li>\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806&#xff1a;\u5c40\u90e8\u5806\u5408\u5e76\u9ad8\u6548\u3002<\/li>\n<li>\u6570\u7ec4\u5217\u8868&#xff1a;\u968f\u673a\u8bbf\u95ee\u9ad8\u6548&#xff0c;\u65e0\u4f18\u5148\u7ea7\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\u64cd\u4f5c efficiency&#xff1a;\n<ul>\n<li>\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806&#xff1a;O(log n) \u64cd\u4f5c\u3002<\/li>\n<li>\u6570\u7ec4\u5217\u8868&#xff1a;O(1) \u968f\u673a\u8bbf\u95ee&#xff0c;O(n_k log n_k) \u6392\u5e8f.<\/li>\n<\/ul>\n<\/li>\n<li>\u9002\u7528\u573a\u666f&#xff1a;\n<ul>\n<li>\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806&#xff1a;\u5206\u5e03\u5f0f\u4efb\u52a1\u8c03\u5ea6.<\/li>\n<li>\u6570\u7ec4\u5217\u8868&#xff1a;\u5206\u5e03\u5f0f\u968f\u673a\u8bbf\u95ee&#xff0c;\u6392\u5e8f.<\/li>\n<\/ul>\n<\/li>\n<li>\u534a\u5bfc\u4f53\u573a\u666f&#xff1a;\n<ul>\n<li>\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806&#xff1a;\u6d4b\u8bd5\u673a\u4efb\u52a1\u5206\u914d.<\/li>\n<li>\u6570\u7ec4\u5217\u8868&#xff1a;\u6d4b\u8bd5\u7ed3\u679c\u5e8f\u5217.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>(11) BST&#043;\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806 vs \u6808<\/p>\n<ul>\n<li>\u5206\u5e03\u5f0f\u6548\u7387&#xff1a;\n<ul>\n<li>\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806&#xff1a;\u5c40\u90e8\u5806\u5408\u5e76\u9ad8\u6548\u3002<\/li>\n<li>\u6808&#xff1a;O(1) \u64cd\u4f5c&#xff0c;\u9002\u5408 LIFO\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\u64cd\u4f5c efficiency&#xff1a;\n<ul>\n<li>\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806&#xff1a;O(log n) \u64cd\u4f5c\u3002<\/li>\n<li>\u6808&#xff1a;O(1)* Push\/Pop&#xff0c;\u65e0\u4f18\u5148\u7ea7\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\u9002\u7528\u573a\u666f&#xff1a;\n<ul>\n<li>\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806&#xff1a;\u5206\u5e03\u5f0f\u4efb\u52a1\u8c03\u5ea6.<\/li>\n<li>\u6808&#xff1a;\u5206\u5e03\u5f0f\u64a4\u9500\u64cd\u4f5c.<\/li>\n<\/ul>\n<\/li>\n<li>\u534a\u5bfc\u4f53\u573a\u666f&#xff1a;\n<ul>\n<li>\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806&#xff1a;\u6d4b\u8bd5\u673a\u4efb\u52a1\u5206\u914d.<\/li>\n<li>\u6808&#xff1a;\u6d4b\u8bd5\u673a\u64cd\u4f5c\u5386\u53f2.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>(12) BST&#043;\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806 vs \u5806\u6392\u5e8f\/\u5feb\u901f\u6392\u5e8f<\/p>\n<ul>\n<li>\u5206\u5e03\u5f0f\u6548\u7387&#xff1a;\n<ul>\n<li>\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806&#xff1a;O(k log n) \u5408\u5e76&#xff0c;\u9002\u5408\u5206\u5e03\u5f0f\u8c03\u5ea6.<\/li>\n<li>\u5806\u6392\u5e8f&#xff1a;\u5355\u7ebf\u7a0b&#xff0c;O(n log n)&#xff0c;\u5206\u5e03\u5f0f\u9700\u5206\u533a\u3002<\/li>\n<li>\u5feb\u901f\u6392\u5e8f&#xff1a;\u53ef\u5206\u5e03\u5f0f\u5206\u533a&#xff0c;O(n log n)*&#xff0c;\u5408\u5e76 O(k n).<\/li>\n<\/ul>\n<\/li>\n<li>\u64cd\u4f5c efficiency&#xff1a;\n<ul>\n<li>\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806&#xff1a;O(log n) \u64cd\u4f5c&#xff0c;\u52a8\u6001\u8c03\u5ea6.<\/li>\n<li>\u5806\u6392\u5e8f\/\u5feb\u901f\u6392\u5e8f&#xff1a;O(n_k log n_k) \u6392\u5e8f&#xff0c;\u9759\u6001\u4efb\u52a1.<\/li>\n<\/ul>\n<\/li>\n<li>\u9002\u7528\u573a\u666f&#xff1a;\n<ul>\n<li>\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806&#xff1a;\u5206\u5e03\u5f0f\u4efb\u52a1\u8c03\u5ea6&#xff0c;\u5b58\u50a8.<\/li>\n<li>\u5806\u6392\u5e8f&#xff1a;\u5185\u5b58\u53d7\u9650\u6392\u5e8f.<\/li>\n<li>\u5feb\u901f\u6392\u5e8f&#xff1a;\u6027\u80fd\u4f18\u5148\u6392\u5e8f.<\/li>\n<\/ul>\n<\/li>\n<li>\u534a\u5bfc\u4f53\u573a\u666f&#xff1a;\n<ul>\n<li>\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806&#xff1a;\u6d4b\u8bd5\u673a\u4efb\u52a1\u5206\u914d.<\/li>\n<li>\u5806\u6392\u5e8f\/\u5feb\u901f\u6392\u5e8f&#xff1a;\u6d4b\u8bd5\u7ed3\u679c\u6392\u5e8f.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<hr \/>\n<p>\u4e94\u3001\u534a\u5bfc\u4f53\u4ea7\u7ebf\u573a\u666f\u793a\u4f8b<\/p>\n<p>1. \u573a\u666f\u63cf\u8ff0\u5728\u534a\u5bfc\u4f53\u4ea7\u7ebf\u4e2d&#xff0c;BST \u7ed3\u5408\u901a\u7528\u54c8\u5e0c\u65cf\u7528\u4e8e\u4efb\u52a1\u6216\u6570\u636e\u7684\u5206\u5e03\u5f0f\u5b58\u50a8\u548c\u8c03\u5ea6&#xff0c;\u7ed3\u5408\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806\u5b9e\u73b0\u4f18\u5148\u7ea7\u7ba1\u7406&#xff0c;\u800c\u5176\u4ed6\u6570\u636e\u7ed3\u6784&#xff08;\u5982\u5faa\u73af\u7f13\u51b2\u533a&#xff09;\u9002\u5408 FIFO \u4efb\u52a1\u7f13\u51b2\u3002<\/p>\n<p>\u4ee5\u4e0b\u4ee5\u6d4b\u8bd5\u673a\u573a\u666f\u4e3a\u4f8b\u3002<\/p>\n<ul>\n<li>\u6d4b\u8bd5\u673a\u573a\u666f&#xff1a;\u591a\u673a\u53f0\u5e76\u884c\u5904\u7406\u6676\u5706\u6d4b\u8bd5\u4efb\u52a1&#xff0c;\u901a\u8fc7 BST \u5206\u914d\u548c\u5b58\u50a8\u4efb\u52a1&#xff0c;\u6309 WaferId \u6392\u5e8f\u8f93\u51fa\u6216\u8303\u56f4\u67e5\u8be2&#xff0c;\u7ed3\u5408\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806\u6309\u4f18\u5148\u7ea7\u8c03\u5ea6\u3002<\/li>\n<\/ul>\n<p>2. \u6d4b\u8bd5\u673a\u793a\u4f8b&#xff1a;\u5206\u5e03\u5f0f\u4efb\u52a1\u8c03\u5ea6\u9700\u6c42&#xff1a;\u6d4b\u8bd5\u673a\u63a5\u6536\u6676\u5706\u6d4b\u8bd5\u4efb\u52a1&#xff0c;\u57fa\u4e8e BST&#xff08;\u7ea2\u9ed1\u6811&#xff09;\u5206\u914d\u5230\u591a\u673a\u53f0&#xff0c;\u6309 WaferId \u6392\u5e8f\u5b58\u50a8\u4efb\u52a1&#xff0c;\u652f\u6301\u8303\u56f4\u67e5\u8be2&#xff0c;\u4f18\u5148\u7ea7\u961f\u5217\u7ba1\u7406\u4efb\u52a1\u6267\u884c\u987a\u5e8f&#xff0c;\u652f\u6301\u52a8\u6001\u8c03\u5ea6\u3002\u5206\u5e03\u5f0f\u4efb\u52a1\u8c03\u5ea6\u5b9e\u73b0&#xff1a;csharp<\/p>\n<p>\u00a0<\/p>\n<p>public class DistributedWaferTestScheduler<br \/>\n{<br \/>\n    private readonly DistributedTaskScheduler scheduler;<\/p>\n<p>    public DistributedWaferTestScheduler(int nodeCount)<br \/>\n    {<br \/>\n        scheduler &#061; new DistributedTaskScheduler(nodeCount);<br \/>\n    }<\/p>\n<p>    public async Task&lt;List&lt;(int WaferId, int Priority)&gt;&gt; ScheduleTasksAsync(List&lt;WaferTestTask&gt; tasks)<br \/>\n    {<br \/>\n        return await scheduler.ProcessTasksAsync(tasks);<br \/>\n    }<\/p>\n<p>    public List&lt;(int WaferId, WaferTestTask Task)&gt; GetAllTasksInOrder()<br \/>\n    {<br \/>\n        return scheduler.GetAllTasksInOrder();<br \/>\n    }<\/p>\n<p>    public List&lt;(int WaferId, WaferTestTask Task)&gt; RangeQuery(int minWaferId, int maxWaferId)<br \/>\n    {<br \/>\n        return scheduler.RangeQuery(minWaferId, maxWaferId);<br \/>\n    }<br \/>\n}<\/p>\n<p>\u5faa\u73af\u7f13\u51b2\u533a\u5b9e\u73b0&#xff08;\u975e\u4f18\u5148\u7ea7&#xff09;&#xff1a;csharp<\/p>\n<p>\u00a0<\/p>\n<p>public class WaferTestBuffer<br \/>\n{<br \/>\n    private CircularBuffer&lt;WaferTestTask&gt; buffer;<br \/>\n    private readonly object lockObject &#061; new object();<\/p>\n<p>    public WaferTestBuffer(int capacity, bool overwriteWhenFull &#061; true)<br \/>\n    {<br \/>\n        buffer &#061; new CircularBuffer&lt;WaferTestTask&gt;(capacity, overwriteWhenFull);<br \/>\n    }<\/p>\n<p>    public void AddTestTask(WaferTestTask task)<br \/>\n    {<br \/>\n        lock (lockObject)<br \/>\n        {<br \/>\n            buffer.Write(task);<br \/>\n        }<br \/>\n    }<\/p>\n<p>    public WaferTestTask ProcessNextTask()<br \/>\n    {<br \/>\n        lock (lockObject)<br \/>\n        {<br \/>\n            return buffer.Read();<br \/>\n        }<br \/>\n    }<br \/>\n}<\/p>\n<p>\u5bf9\u6bd4\u5206\u6790&#xff1a;<\/p>\n<ul>\n<li>BST&#043;\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806&#xff1a;\n<ul>\n<li>\u4f18\u52bf&#xff1a;O(log n) \u63d2\u5165\/\u67e5\u627e\/\u5220\u9664&#xff0c;O(n) \u6709\u5e8f\u904d\u5386&#xff0c;O(log n &#043; k) \u8303\u56f4\u67e5\u8be2&#xff0c;O(k log n) \u5408\u5e76&#xff0c;\u652f\u6301\u52a8\u6001\u4f18\u5148\u7ea7\u8c03\u5ea6\u548c\u6709\u5e8f\u8f93\u51fa\u3002<\/li>\n<li>\u52a3\u52bf&#xff1a;\u7a7a\u95f4\u5f00\u9500\u8f83\u9ad8&#xff08;\u6811\u7ed3\u6784&#xff09;&#xff0c;\u5b9e\u73b0\u590d\u6742&#xff0c;\u666e\u901a BST \u53ef\u80fd\u4e0d\u5e73\u8861\u3002<\/li>\n<li>\u9002\u7528\u6027&#xff1a;\u6d4b\u8bd5\u673a\u4efb\u52a1\u5b58\u50a8\u548c\u4f18\u5148\u7ea7\u8c03\u5ea6&#xff0c;\u9700\u6309 WaferId \u6392\u5e8f\u8f93\u51fa\u6216\u8303\u56f4\u67e5\u8be2\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\u5faa\u73af\u7f13\u51b2\u533a&#xff1a;\n<ul>\n<li>\u4f18\u52bf&#xff1a;O(1) Write\/Read&#xff0c;\u56fa\u5b9a\u5bb9\u91cf&#xff0c;\u9ad8\u5e76\u53d1\u3002<\/li>\n<li>\u52a3\u52bf&#xff1a;\u65e0\u4f18\u5148\u7ea7\u652f\u6301&#xff0c;FIFO \u987a\u5e8f\u3002<\/li>\n<li>\u9002\u7528\u6027&#xff1a;\u56fa\u5b9a\u5bb9\u91cf\u3001FIFO \u4efb\u52a1\u7f13\u51b2\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>\u9009\u62e9\u5efa\u8bae&#xff1a;BST&#xff08;\u7ea2\u9ed1\u6811&#xff09;\u7ed3\u5408\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806\u9002\u5408\u6d4b\u8bd5\u673a\u6709\u5e8f\u4efb\u52a1\u5b58\u50a8\u3001\u8303\u56f4\u67e5\u8be2\u548c\u5206\u5e03\u5f0f\u4f18\u5148\u7ea7\u8c03\u5ea6&#xff0c;\u5faa\u73af\u7f13\u51b2\u533a\u9002\u5408\u56fa\u5b9a\u5bb9\u91cf FIFO \u573a\u666f\u3002<\/p>\n<hr \/>\n<p>\u516d\u3001\u6d4b\u8bd5\u7528\u4f8b&#xff08;BST&#043;\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806 vs \u5faa\u73af\u7f13\u51b2\u533a&#xff09;\u4ee5\u4e0b\u4ee5\u6d4b\u8bd5\u673a\u573a\u666f\u4e3a\u4f8b&#xff0c;\u6bd4\u8f83 BST \u7ed3\u5408\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806\u4e0e\u5faa\u73af\u7f13\u51b2\u533a\u7684\u5904\u7406\u6548\u679c\u3002csharp<\/p>\n<p>\u00a0<\/p>\n<p>[TestClass]<br \/>\npublic class WaferTestSchedulerTests<br \/>\n{<br \/>\n    [TestMethod]<br \/>\n    public async Task DistributedSchedulerVsCircularBuffer_PriorityScheduling()<br \/>\n    {<br \/>\n        var scheduler &#061; new DistributedWaferTestScheduler(2);<br \/>\n        var buffer &#061; new WaferTestBuffer(2, true);<br \/>\n        var time &#061; new DateTime(2025, 8, 7, 9, 47, 0);<br \/>\n        var tasks &#061; new List&lt;WaferTestTask&gt;<br \/>\n        {<br \/>\n            new WaferTestTask(1001, 2, time, &#034;VoltageTest&#034;, 0),<br \/>\n            new WaferTestTask(1002, 1, time, &#034;DefectTest&#034;, 0),<br \/>\n            new WaferTestTask(1003, 3, time, &#034;CurrentTest&#034;, 1),<br \/>\n            new WaferTestTask(1004, 0, time, &#034;ThermalTest&#034;, 1)<br \/>\n        };<br \/>\n        var expectedPriorityOrder &#061; new List&lt;(int WaferId, int Priority)&gt;<br \/>\n        {<br \/>\n            (1004, 0), (1002, 1), (1001, 2), (1003, 3)<br \/>\n        };<\/p>\n<p>        \/\/ \u6d4b\u8bd5\u5206\u5e03\u5f0f\u8c03\u5ea6<br \/>\n        var result &#061; await scheduler.ScheduleTasksAsync(tasks);<br \/>\n        CollectionAssert.AreEqual(expectedPriorityOrder.Select(t &#061;&gt; t.WaferId).ToList(), result.Select(t &#061;&gt; t.WaferId).ToList());<\/p>\n<p>        \/\/ \u6d4b\u8bd5\u5faa\u73af\u7f13\u51b2\u533a<br \/>\n        foreach (var task in tasks)<br \/>\n            buffer.AddTestTask(task);<br \/>\n        var task1 &#061; buffer.ProcessNextTask();<br \/>\n        Assert.AreEqual(1001, task1.WaferId); \/\/ FIFO \u987a\u5e8f<br \/>\n    }<\/p>\n<p>    [TestMethod]<br \/>\n    public void DistributedScheduler_GetAllTasksInOrder()<br \/>\n    {<br \/>\n        var scheduler &#061; new DistributedWaferTestScheduler(2);<br \/>\n        var time &#061; new DateTime(2025, 8, 7, 9, 47, 0);<br \/>\n        var tasks &#061; new List&lt;WaferTestTask&gt;<br \/>\n        {<br \/>\n            new WaferTestTask(1004, 0, time, &#034;ThermalTest&#034;, 1),<br \/>\n            new WaferTestTask(1002, 1, time, &#034;DefectTest&#034;, 0),<br \/>\n            new WaferTestTask(1001, 2, time, &#034;VoltageTest&#034;, 0),<br \/>\n            new WaferTestTask(1003, 3, time, &#034;CurrentTest&#034;, 1)<br \/>\n        };<br \/>\n        foreach (var task in tasks)<br \/>\n            scheduler.ScheduleTask(task);<br \/>\n        var expectedOrder &#061; new List&lt;int&gt; { 1001, 1002, 1003, 1004 };<\/p>\n<p>        var result &#061; scheduler.GetAllTasksInOrder();<br \/>\n        CollectionAssert.AreEqual(expectedOrder, result.Select(t &#061;&gt; t.WaferId).ToList());<br \/>\n    }<\/p>\n<p>    [TestMethod]<br \/>\n    public void DistributedScheduler_RangeQuery()<br \/>\n    {<br \/>\n        var scheduler &#061; new DistributedWaferTestScheduler(2);<br \/>\n        var time &#061; new DateTime(2025, 8, 7, 9, 47, 0);<br \/>\n        var tasks &#061; new List&lt;WaferTestTask&gt;<br \/>\n        {<br \/>\n            new WaferTestTask(1001, 2, time, &#034;VoltageTest&#034;, 0),<br \/>\n            new WaferTestTask(1002, 1, time, &#034;DefectTest&#034;, 0),<br \/>\n            new WaferTestTask(1003, 3, time, &#034;CurrentTest&#034;, 1),<br \/>\n            new WaferTestTask(1004, 0, time, &#034;ThermalTest&#034;, 1)<br \/>\n        };<br \/>\n        foreach (var task in tasks)<br \/>\n            scheduler.ScheduleTask(task);<br \/>\n        var expectedRange &#061; new List&lt;int&gt; { 1002, 1003 };<\/p>\n<p>        var result &#061; scheduler.RangeQuery(1002, 1003);<br \/>\n        CollectionAssert.AreEqual(expectedRange, result.Select(t &#061;&gt; t.WaferId).ToList());<br \/>\n    }<br \/>\n}<\/p>\n<p>\u6027\u80fd\u89c2\u5bdf&#xff1a;<\/p>\n<ul>\n<li>BST&#043;\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806&#xff1a;O(log n) \u63d2\u5165\/\u67e5\u627e\/\u5220\u9664&#xff0c;O(n) \u6709\u5e8f\u904d\u5386&#xff0c;O(log n &#043; k) \u8303\u56f4\u67e5\u8be2&#xff0c;O(k log n) \u5408\u5e76&#xff0c;\u6309\u4f18\u5148\u7ea7\u8fd4\u56de\u4efb\u52a1&#xff08;0 &lt; 1 &lt; 2 &lt; 3&#xff09;&#xff0c;\u6216\u6309 WaferId \u6392\u5e8f\u8f93\u51fa&#xff0c;\u6216\u6267\u884c\u8303\u56f4\u67e5\u8be2\u3002<\/li>\n<li>\u5faa\u73af\u7f13\u51b2\u533a&#xff1a;O(1) \u64cd\u4f5c&#xff0c;\u6309 FIFO \u8fd4\u56de\u4efb\u52a1&#xff08;WaferId 1001&#xff09;\u3002<\/li>\n<\/ul>\n<hr \/>\n<p>\u4e03\u3001\u603b\u7ed3\u4e0e\u6ce8\u610f\u4e8b\u9879<\/p>\n<li>BST&#043;\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806\u7684\u7279\u70b9&#xff1a;\n<ul>\n<li>O(log n) \u63d2\u5165\/\u67e5\u627e\/\u5220\u9664&#xff0c;O(n) \u6709\u5e8f\u904d\u5386&#xff0c;O(log n &#043; k) \u8303\u56f4\u67e5\u8be2&#xff0c;O(k log n) \u5408\u5e76&#xff0c;\u9002\u5408\u5206\u5e03\u5f0f\u4efb\u52a1\u8c03\u5ea6\u3001\u6709\u5e8f\u5b58\u50a8\u548c\u8303\u56f4\u67e5\u8be2\u3002<\/li>\n<li>\u901a\u7528\u54c8\u5e0c\u65cf\u786e\u4fdd\u5747\u5300\u5206\u533a&#xff0c;\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806\u652f\u6301\u9ad8\u6548\u4f18\u5148\u7ea7\u7ba1\u7406\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\u4e0e\u5176\u4ed6\u6570\u636e\u7ed3\u6784\/\u7b97\u6cd5\u5bf9\u6bd4&#xff1a;\n<ul>\n<li>\u6392\u5e8f\u5b57\u5178\/\u6392\u5e8f\u5217\u8868&#xff1a;\u529f\u80fd\u7c7b\u4f3c&#xff0c;O(log n) \u64cd\u4f5c&#xff0c;\u5206\u522b\u5f3a\u8c03\u952e\u503c\u6620\u5c04\u548c\u5217\u8868\u987a\u5e8f\u3002<\/li>\n<li>\u5f00\u653e\u5bfb\u5740\u54c8\u5e0c\u8868&#xff1a;O(1 \/ (1 &#8211; \\\\alpha)) \u64cd\u4f5c&#xff0c;\u9002\u5408\u9ad8\u6548\u952e\u503c\u5b58\u50a8&#xff0c;\u65e0\u5e8f\u3002<\/li>\n<li>\u5e03\u8c37\u9e1f\u54c8\u5e0c\u8868&#xff1a;O(1) \u67e5\u627e\/\u5220\u9664&#xff0c;O(1) \u63d2\u5165&#xff08;\u644a\u9500&#xff09;&#xff0c;\u9002\u5408\u9ad8\u6548\u67e5\u627e&#xff0c;\u65e0\u5e8f\u3002<\/li>\n<li>\u94fe\u5f0f\u54c8\u5e0c\u8868&#xff1a;O(1 &#043; \\\\alpha \\\\log n) \u64cd\u4f5c&#xff0c;\u9002\u5408\u7075\u6d3b\u51b2\u7a81\u7ba1\u7406&#xff0c;\u65e0\u5e8f\u3002<\/li>\n<li>\u6590\u6ce2\u90a3\u5951\u5806&#xff1a;O(k) \u5408\u5e76&#xff0c;\u9002\u5408\u52a8\u6001\u4f18\u5148\u7ea7\u8c03\u5ea6\u3002<\/li>\n<li>\u4e8c\u53c9\u6700\u5c0f\u5806&#xff1a;O(k n) \u5408\u5e76&#xff0c;\u9002\u5408\u5355\u673a\u8c03\u5ea6\u3002<\/li>\n<li>\u5faa\u73af\u961f\u5217\/\u5faa\u73af\u7f13\u51b2\u533a&#xff1a;O(1) \u64cd\u4f5c&#xff0c;\u9002\u5408 FIFO \u4efb\u52a1\u3002<\/li>\n<li>\u5355\u94fe\u8868\/\u53cc\u94fe\u8868&#xff1a;\u9002\u5408\u52a8\u6001\u5217\u8868&#xff0c;\u901a\u4fe1\u5f00\u9500\u5927\u3002<\/li>\n<li>\u6570\u7ec4\u5217\u8868&#xff1a;\u9002\u5408\u968f\u673a\u8bbf\u95ee&#xff0c;\u7ed3\u5408\u5feb\u901f\u6392\u5e8f\u3002<\/li>\n<li>\u6808&#xff1a;\u9002\u5408 LIFO\u3002<\/li>\n<li>\u5806\u6392\u5e8f\/\u5feb\u901f\u6392\u5e8f&#xff1a;\u9002\u5408\u672c\u5730\u6392\u5e8f&#xff0c;\u5206\u5e03\u5f0f\u9700\u4f18\u5316\u5408\u5e76\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\u534a\u5bfc\u4f53\u4ea7\u7ebf\u9002\u7528\u6027&#xff1a;\n<ul>\n<li>\u6d4b\u8bd5\u673a&#xff1a;BST&#043;\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806\u9002\u5408\u6709\u5e8f\u4efb\u52a1\u5b58\u50a8\u3001\u8303\u56f4\u67e5\u8be2\u548c\u5206\u5e03\u5f0f\u4f18\u5148\u7ea7\u8c03\u5ea6\u3002<\/li>\n<li>\u8d34\u7247\u673a&#xff1a;\u9002\u5408\u4efb\u52a1\u4f18\u5148\u7ea7\u5206\u914d\u548c\u6709\u5e8f\u8f93\u51fa&#xff0c;\u5faa\u73af\u7f13\u51b2\u533a\u9002\u5408\u56fa\u5b9a\u4efb\u52a1\u7f13\u51b2\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\u4f18\u5316\u5efa\u8bae&#xff1a;\n<ul>\n<li>BST&#xff1a;\u4f7f\u7528\u5e73\u8861 BST&#xff08;\u5982 AVL \u6811\u3001\u7ea2\u9ed1\u6811&#xff09;\u6216\u8df3\u8dc3\u5217\u8868\u66ff\u4ee3\u666e\u901a BST&#xff0c;\u4fdd\u6301 O(log n) \u6027\u80fd\u3002<\/li>\n<li>\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806&#xff1a;\u4f7f\u7528\u65e0\u9501\u8bbe\u8ba1&#xff08;\u5982 CAS&#xff09;\u4f18\u5316\u5e76\u53d1&#xff0c;\u4f18\u5316\u952e\u503c\u6620\u5c04\u3002<\/li>\n<li>\u5206\u5e03\u5f0f\u7cfb\u7edf&#xff1a;\u7ed3\u5408\u6846\u67b6&#xff08;\u5982 Apache Spark\u3001Hadoop&#xff09;\u6216\u534f\u8bae&#xff08;\u5982 Raft&#xff09;\u4f18\u5316\u6027\u80fd\u3002<\/li>\n<\/ul>\n<\/li>\n<p>\u5982\u679c\u60a8\u9700\u8981\u66f4\u8be6\u7ec6\u7684 BST \u5b9e\u73b0&#xff08;\u5982\u666e\u901a BST\u3001AVL \u6811\u3001\u8df3\u8dc3\u5217\u8868\u7684\u5177\u4f53\u4ee3\u7801&#xff0c;\u5206\u5e03\u5f0f\u6392\u5e8f\u7b97\u6cd5\u7684\u5e94\u7528&#xff09;&#xff0c;\u6216\u4e0e\u6392\u5e8f\u5b57\u5178\u3001\u6392\u5e8f\u5217\u8868\u3001\u54c8\u5e0c\u8868&#xff08;\u94fe\u5f0f\u3001\u5e03\u8c37\u9e1f\u3001\u5f00\u653e\u5bfb\u5740&#xff09;\u7684\u66f4\u6df1\u5165\u5bf9\u6bd4&#xff0c;\u6216\u9488\u5bf9\u7279\u5b9a\u534a\u5bfc\u4f53\u8bbe\u5907&#xff08;\u5982\u6676\u5706\u5207\u5272\u673a&#xff09;\u7684\u5b9a\u5236\u4ee3\u7801&#xff0c;\u8bf7\u8fdb\u4e00\u6b65\u8bf4\u660e&#xff0c;\u6211\u5c06\u63d0\u4f9b\u66f4\u6df1\u5165\u7684\u5206\u6790\u548c\u793a\u4f8b&#xff01;<\/p>\n<p>\u00a0<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6587\u7ae0\u6d4f\u89c8\u9605\u8bfb903\u6b21\uff0c\u70b9\u8d5e25\u6b21\uff0c\u6536\u85cf7\u6b21\u3002\u5982\u679c\u60a8\u9700\u8981\u66f4\u8be6\u7ec6\u7684 BST \u5b9e\u73b0\uff08\u5982\u666e\u901a BST\u3001AVL 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BST\uff09\uff0c\u7ed3\u5408\u901a\u7528\u54c8\u5e0c\u65cf\u7528\u4e8e\u5206\u5e03\u5f0f\u5206\u533a\uff0c\u914d\u5408\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806\u8fdb\u884c\u4f18\u5148\u7ea7\u8c03\u5ea6\u3002\u5206\u5e03\u5f0f\u4efb\u52a1\u5206\u914d\u5b9e\u73b0\uff08\u7ed3\u5408\u4e8c\u53c9\u641c\u7d22\u6811\u548c\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806\uff09csharp\u3002<\/p>\n","protected":false},"author":2,"featured_media":58283,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[1862],"topic":[],"class_list":["post-58285","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-server","tag-wpf"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u4e8c\u53c9\u641c\u7d22\u6811 (Binary Search Tree, 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