{"id":189236,"date":"2024-11-12T05:52:21","date_gmt":"2024-11-11T21:52:21","guid":{"rendered":"https:\/\/server.hk\/cnblog\/189236\/"},"modified":"2024-11-12T05:52:22","modified_gmt":"2024-11-11T21:52:22","slug":"%e8%b7%b3%e8%ba%8d%e8%a1%a8%e6%95%b8%e6%93%9a%e7%b5%90%e6%a7%8b%e8%88%87%e7%ae%97%e6%b3%95%e5%88%86%e6%9e%90","status":"publish","type":"post","link":"https:\/\/server.hk\/cnblog\/189236\/","title":{"rendered":"\u8df3\u8e8d\u8868\u6578\u64da\u7d50\u69cb\u8207\u7b97\u6cd5\u5206\u6790"},"content":{"rendered":"<h1 id=\"%e8%b7%b3%e8%ba%8d%e8%a1%a8%e6%95%b8%e6%93%9a%e7%b5%90%e6%a7%8b%e8%88%87%e7%ae%97%e6%b3%95%e5%88%86%e6%9e%90-gDrBCvqcqJ\">\u8df3\u8e8d\u8868\u6578\u64da\u7d50\u69cb\u8207\u7b97\u6cd5\u5206\u6790<\/h1>\n<p>\u5728\u8a08\u7b97\u6a5f\u79d1\u5b78\u4e2d\uff0c\u6578\u64da\u7d50\u69cb\u7684\u9078\u64c7\u5c0d\u65bc\u7b97\u6cd5\u7684\u6548\u7387\u548c\u6027\u80fd\u81f3\u95dc\u91cd\u8981\u3002\u8df3\u8e8d\u8868\uff08Skip List\uff09\u662f\u4e00\u7a2e\u96a8\u6a5f\u5316\u6578\u64da\u7d50\u69cb\uff0c\u65e8\u5728\u63d0\u4f9b\u9ad8\u6548\u7684\u67e5\u627e\u3001\u63d2\u5165\u548c\u522a\u9664\u64cd\u4f5c\u3002\u672c\u6587\u5c07\u6df1\u5165\u63a2\u8a0e\u8df3\u8e8d\u8868\u7684\u57fa\u672c\u6982\u5ff5\u3001\u7d50\u69cb\u7279\u9ede\u3001\u64cd\u4f5c\u7b97\u6cd5\u53ca\u5176\u512a\u7f3a\u9ede\u3002<\/p>\n<h2 id=\"%e8%b7%b3%e8%ba%8d%e8%a1%a8%e7%9a%84%e5%9f%ba%e6%9c%ac%e6%a6%82%e5%bf%b5-gDrBCvqcqJ\">\u8df3\u8e8d\u8868\u7684\u57fa\u672c\u6982\u5ff5<\/h2>\n<p>\u8df3\u8e8d\u8868\u662f\u4e00\u7a2e\u57fa\u65bc\u93c8\u8868\u7684\u6578\u64da\u7d50\u69cb\uff0c\u901a\u904e\u591a\u5c64\u93c8\u8868\u4f86\u5be6\u73fe\u5feb\u901f\u67e5\u627e\u3002\u5b83\u7684\u57fa\u672c\u601d\u60f3\u662f\u5c07\u4e00\u500b\u6709\u5e8f\u7684\u93c8\u8868\u5206\u5c64\uff0c\u6bcf\u4e00\u5c64\u7684\u5143\u7d20\u6578\u91cf\u9010\u6f38\u6e1b\u5c11\uff0c\u5f9e\u800c\u5728\u67e5\u627e\u6642\u53ef\u4ee5\u8df3\u904e\u591a\u500b\u5143\u7d20\uff0c\u9054\u5230\u52a0\u901f\u7684\u6548\u679c\u3002\u9019\u7a2e\u7d50\u69cb\u7684\u8a2d\u8a08\u9748\u611f\u4f86\u81ea\u65bc\u8df3\u8e8d\u7684\u6982\u5ff5\uff0c\u56e0\u70ba\u5728\u67e5\u627e\u904e\u7a0b\u4e2d\uff0c\u53ef\u4ee5\u201c\u8df3\u904e\u201d\u4e00\u4e9b\u4e0d\u5fc5\u8981\u7684\u6bd4\u8f03\u3002<\/p>\n<h2 id=\"%e8%b7%b3%e8%ba%8d%e8%a1%a8%e7%9a%84%e7%b5%90%e6%a7%8b%e7%89%b9%e9%bb%9e-gDrBCvqcqJ\">\u8df3\u8e8d\u8868\u7684\u7d50\u69cb\u7279\u9ede<\/h2>\n<p>\u8df3\u8e8d\u8868\u7531\u591a\u5c64\u93c8\u8868\u7d44\u6210\uff0c\u6bcf\u4e00\u5c64\u90fd\u662f\u4e00\u500b\u6709\u5e8f\u93c8\u8868\u3002\u6700\u5e95\u5c64\u7684\u93c8\u8868\u5305\u542b\u6240\u6709\u7684\u5143\u7d20\uff0c\u800c\u4e0a\u5c64\u93c8\u8868\u5247\u662f\u5e95\u5c64\u93c8\u8868\u7684\u5b50\u96c6\u3002\u5177\u9ad4\u4f86\u8aaa\uff0c\u5c0d\u65bc\u6bcf\u500b\u5143\u7d20\uff0c\u96a8\u6a5f\u6c7a\u5b9a\u5b83\u5728\u4e0a\u5c64\u93c8\u8868\u4e2d\u7684\u51fa\u73fe\u6982\u7387\uff0c\u901a\u5e38\u662f\u4ee5 1\/2 \u7684\u6982\u7387\u4f86\u6c7a\u5b9a\u662f\u5426\u5728\u4e0a\u5c64\u51fa\u73fe\u3002\u9019\u6a23\u7684\u8a2d\u8a08\u4f7f\u5f97\u8df3\u8e8d\u8868\u7684\u5e73\u5747\u67e5\u627e\u6642\u9593\u8907\u96dc\u5ea6\u70ba O(log n)\uff0c\u800c\u6700\u58de\u60c5\u6cc1\u4e0b\u7684\u67e5\u627e\u6642\u9593\u8907\u96dc\u5ea6\u70ba O(n)\uff0c\u4f46\u9019\u7a2e\u60c5\u6cc1\u975e\u5e38\u5c11\u898b\u3002<\/p>\n<h2 id=\"%e8%b7%b3%e8%ba%8d%e8%a1%a8%e7%9a%84%e6%93%8d%e4%bd%9c%e7%ae%97%e6%b3%95-gDrBCvqcqJ\">\u8df3\u8e8d\u8868\u7684\u64cd\u4f5c\u7b97\u6cd5<\/h2>\n<h3 id=\"%e6%9f%a5%e6%89%be%e6%93%8d%e4%bd%9c-gDrBCvqcqJ\">\u67e5\u627e\u64cd\u4f5c<\/h3>\n<p>\u67e5\u627e\u64cd\u4f5c\u7684\u57fa\u672c\u6b65\u9a5f\u5982\u4e0b\uff1a<\/p>\n<ol>\n<li>\u5f9e\u6700\u4e0a\u5c64\u7684\u93c8\u8868\u958b\u59cb\uff0c\u5f9e\u5de6\u5230\u53f3\u904d\u6b77\uff0c\u76f4\u5230\u627e\u5230\u4e00\u500b\u6bd4\u76ee\u6a19\u503c\u5927\u7684\u5143\u7d20\u3002<\/li>\n<li>\u5982\u679c\u627e\u5230\u7684\u5143\u7d20\u5927\u65bc\u76ee\u6a19\u503c\uff0c\u5247\u4e0b\u964d\u5230\u4e0b\u4e00\u5c64\u93c8\u8868\uff0c\u7e7c\u7e8c\u67e5\u627e\u3002<\/li>\n<li>\u5982\u679c\u627e\u5230\u7684\u5143\u7d20\u7b49\u65bc\u76ee\u6a19\u503c\uff0c\u5247\u8fd4\u56de\u8a72\u5143\u7d20\u3002<\/li>\n<li>\u5982\u679c\u5230\u9054\u6700\u5e95\u5c64\u4ecd\u672a\u627e\u5230\uff0c\u5247\u8fd4\u56de\u5931\u6557\u3002<\/li>\n<\/ol>\n<pre><code>\nfunction search(value):\n    current = head\n    for level from maxLevel down to 0:\n        while current.forward[level] != null and current.forward[level].value &lt; value:\n            current = current.forward[level]\n    current = current.forward[0]\n    if current != null and current.value == value:\n        return current\n    return null\n<\/code><\/pre>\n<h3 id=\"%e6%8f%92%e5%85%a5%e6%93%8d%e4%bd%9c-gDrBCvqcqJ\">\u63d2\u5165\u64cd\u4f5c<\/h3>\n<p>\u63d2\u5165\u64cd\u4f5c\u7684\u6b65\u9a5f\u5982\u4e0b\uff1a<\/p>\n<ol>\n<li>\u9996\u5148\u9032\u884c\u67e5\u627e\uff0c\u78ba\u5b9a\u63d2\u5165\u4f4d\u7f6e\u3002<\/li>\n<li>\u96a8\u6a5f\u751f\u6210\u4e00\u500b\u5c64\u6578\uff0c\u4e26\u5728\u6bcf\u4e00\u5c64\u4e2d\u63d2\u5165\u65b0\u5143\u7d20\u3002<\/li>\n<li>\u66f4\u65b0\u6307\u91dd\u4ee5\u7dad\u6301\u93c8\u8868\u7684\u6709\u5e8f\u6027\u3002<\/li>\n<\/ol>\n<pre><code>\nfunction insert(value):\n    update = new Node[maxLevel]\n    current = head\n    for level from maxLevel down to 0:\n        while current.forward[level] != null and current.forward[level].value &lt; value:\n            current = current.forward[level]\n        update[level] = current\n    newNode = new Node(value)\n    for level from 0 to randomLevel:\n        newNode.forward[level] = update[level].forward[level]\n        update[level].forward[level] = newNode\n<\/code><\/pre>\n<h3 id=\"%e5%88%aa%e9%99%a4%e6%93%8d%e4%bd%9c-gDrBCvqcqJ\">\u522a\u9664\u64cd\u4f5c<\/h3>\n<p>\u522a\u9664\u64cd\u4f5c\u7684\u6b65\u9a5f\u8207\u63d2\u5165\u985e\u4f3c\uff0c\u9996\u5148\u67e5\u627e\u8981\u522a\u9664\u7684\u5143\u7d20\uff0c\u7136\u5f8c\u66f4\u65b0\u6307\u91dd\u4ee5\u79fb\u9664\u8a72\u5143\u7d20\u3002<\/p>\n<pre><code>\nfunction delete(value):\n    update = new Node[maxLevel]\n    current = head\n    for level from maxLevel down to 0:\n        while current.forward[level] != null and current.forward[level].value &lt; value:\n            current = current.forward[level]\n        update[level] = current\n    current = current.forward[0]\n    if current != null and current.value == value:\n        for level from 0 to maxLevel:\n            if update[level].forward[level] != current:\n                break\n            update[level].forward[level] = current.forward[level]\n<\/code><\/pre>\n<h2 id=\"%e8%b7%b3%e8%ba%8d%e8%a1%a8%e7%9a%84%e5%84%aa%e7%bc%ba%e9%bb%9e-gDrBCvqcqJ\">\u8df3\u8e8d\u8868\u7684\u512a\u7f3a\u9ede<\/h2>\n<h3 id=\"%e5%84%aa%e9%bb%9e-gDrBCvqcqJ\">\u512a\u9ede<\/h3>\n<ul>\n<li>\u67e5\u627e\u3001\u63d2\u5165\u548c\u522a\u9664\u64cd\u4f5c\u7684\u5e73\u5747\u6642\u9593\u8907\u96dc\u5ea6\u70ba O(log n)\u3002<\/li>\n<li>\u7d50\u69cb\u7c21\u55ae\uff0c\u6613\u65bc\u5be6\u73fe\u3002<\/li>\n<li>\u96a8\u6a5f\u5316\u7279\u6027\u4f7f\u5f97\u6027\u80fd\u7a69\u5b9a\u3002<\/li>\n<\/ul>\n<h3 id=\"%e7%bc%ba%e9%bb%9e-gDrBCvqcqJ\">\u7f3a\u9ede<\/h3>\n<ul>\n<li>\u6700\u58de\u60c5\u6cc1\u4e0b\u7684\u67e5\u627e\u6642\u9593\u8907\u96dc\u5ea6\u70ba O(n)\u3002<\/li>\n<li>\u9700\u8981\u984d\u5916\u7684\u7a7a\u9593\u4f86\u5b58\u5132\u591a\u5c64\u93c8\u8868\u3002<\/li>\n<li>\u96a8\u6a5f\u5316\u7279\u6027\u53ef\u80fd\u5c0e\u81f4\u6027\u80fd\u4e0d\u7a69\u5b9a\u3002<\/li>\n<\/ul>\n<h2 id=\"%e7%b8%bd%e7%b5%90-gDrBCvqcqJ\">\u7e3d\u7d50<\/h2>\n<p>\u8df3\u8e8d\u8868\u662f\u4e00\u7a2e\u9ad8\u6548\u7684\u6578\u64da\u7d50\u69cb\uff0c\u9069\u5408\u7528\u65bc\u9700\u8981\u983b\u7e41\u67e5\u627e\u3001\u63d2\u5165\u548c\u522a\u9664\u64cd\u4f5c\u7684\u5834\u666f\u3002\u96d6\u7136\u5b83\u5728\u6700\u58de\u60c5\u6cc1\u4e0b\u7684\u6027\u80fd\u4e0d\u5982\u67d0\u4e9b\u5176\u4ed6\u6578\u64da\u7d50\u69cb\uff0c\u4f46\u5176\u96a8\u6a5f\u5316\u7279\u6027\u548c\u7c21\u55ae\u7684\u5be6\u73fe\u4f7f\u5176\u6210\u70ba\u4e00\u500b\u6709\u5438\u5f15\u529b\u7684\u9078\u64c7\u3002\u5c0d\u65bc\u9700\u8981\u9ad8\u6548\u6578\u64da\u8655\u7406\u7684\u61c9\u7528\uff0c\u9078\u64c7\u5408\u9069\u7684\u6578\u64da\u7d50\u69cb\u81f3\u95dc\u91cd\u8981\u3002\u5982\u679c\u60a8\u6b63\u5728\u5c0b\u627e\u9ad8\u6548\u7684 <a href=\"https:\/\/server.hk\">VPS<\/a> \u89e3\u6c7a\u65b9\u6848\uff0cServer.HK \u63d0\u4f9b\u591a\u7a2e\u9078\u64c7\u4ee5\u6eff\u8db3\u60a8\u7684\u9700\u6c42\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u63a2\u7d22\u8df3\u8e8d\u8868\u7684\u6578\u64da\u7d50\u69cb\u53ca\u5176\u7b97\u6cd5\u5206\u6790\uff0c\u4e86\u89e3\u5176\u9ad8\u6548\u67e5\u8a62\u6027\u80fd\u53ca\u61c9\u7528\u5834\u666f\uff0c\u63d0\u5347\u6578\u64da\u8655\u7406\u80fd\u529b\u3002<\/p>\n","protected":false},"author":0,"featured_media":0,"comment_status":"closed","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[101],"tags":[],"class_list":["post-189236","post","type-post","status-publish","format-standard","hentry","category-database"],"_links":{"self":[{"href":"https:\/\/server.hk\/cnblog\/wp-json\/wp\/v2\/posts\/189236","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/server.hk\/cnblog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/server.hk\/cnblog\/wp-json\/wp\/v2\/types\/post"}],"replies":[{"embeddable":true,"href":"https:\/\/server.hk\/cnblog\/wp-json\/wp\/v2\/comments?post=189236"}],"version-history":[{"count":1,"href":"https:\/\/server.hk\/cnblog\/wp-json\/wp\/v2\/posts\/189236\/revisions"}],"predecessor-version":[{"id":189237,"href":"https:\/\/server.hk\/cnblog\/wp-json\/wp\/v2\/posts\/189236\/revisions\/189237"}],"wp:attachment":[{"href":"https:\/\/server.hk\/cnblog\/wp-json\/wp\/v2\/media?parent=189236"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/server.hk\/cnblog\/wp-json\/wp\/v2\/categories?post=189236"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/server.hk\/cnblog\/wp-json\/wp\/v2\/tags?post=189236"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}