{"id":649,"date":"2023-06-04T16:10:48","date_gmt":"2023-03-22T23:16:10","guid":{"rendered":"https:\/\/www.silicloud.com\/zh\/blog\/index.php\/2023\/11\/30\/%e7%94%a8java%e5%ae%9e%e7%8e%b0%e6%9c%80%e5%a4%a7%e5%a0%86%e6%95%b0%e6%8d%ae%e7%bb%93%e6%9e%84\/"},"modified":"2025-08-03T00:59:30","modified_gmt":"2025-08-02T16:59:30","slug":"%e7%94%a8java%e5%ae%9e%e7%8e%b0%e6%9c%80%e5%a4%a7%e5%a0%86%e6%95%b0%e6%8d%ae%e7%bb%93%e6%9e%84","status":"publish","type":"post","link":"https:\/\/www.silicloud.com\/zh\/blog\/%e7%94%a8java%e5%ae%9e%e7%8e%b0%e6%9c%80%e5%a4%a7%e5%a0%86%e6%95%b0%e6%8d%ae%e7%bb%93%e6%9e%84\/","title":{"rendered":"Java\u6700\u5927\u5806\u6570\u636e\u7ed3\u6784\u5b8c\u5168\u6307\u5357\uff1a\u5b9e\u73b0\u539f\u7406\u4e0e\u4ee3\u7801\u8be6\u89e3"},"content":{"rendered":"<p>\u8fd9\u662f\u6587\u7ae0\u300a\u7528Java\u5b9e\u73b0\u6700\u5927\u5806\u6570\u636e\u7ed3\u6784\u300b\u7684\u7b2c1\u90e8\u5206\uff08\u51717\u90e8\u5206\uff09\u3002<\/p>\n<p>\u4e00\u4e2a\u6700\u5927\u5806\u662f\u4e00\u4e2a\u5b8c\u5168\u4e8c\u53c9\u6811\uff0c\u5176\u4e2d\u4e00\u4e2a\u8282\u70b9\u7684\u503c\u5927\u4e8e\u6216\u7b49\u4e8e\u5176\u5b50\u8282\u70b9\u7684\u503c\u3002\u6700\u5927\u5806\u6570\u636e\u7ed3\u6784\u5728\u4f7f\u7528\u5806\u6392\u5e8f\u5bf9\u6570\u636e\u8fdb\u884c\u6392\u5e8f\u65f6\u975e\u5e38\u6709\u7528\u3002<\/p>\n<p>\u5728\u8fd9\u4e2a\u6559\u7a0b\u4e2d\uff0c\u6211\u4eec\u5c06\u6db5\u76d6\u4f60\u4ece\u96f6\u5f00\u59cb\u5728Java\u4e2d\u5b9e\u73b0\u6700\u5927\u5806\u6240\u9700\u8981\u7684\u6240\u6709\u77e5\u8bc6\u3002<\/p>\n<h2>\u5728Java\u4e2d\u5b9e\u73b0\u4e00\u4e2a\u6700\u5927\u5806\u6570\u636e\u7ed3\u6784<\/h2>\n<p>\u6211\u4eec\u4f7f\u7528\u6570\u7ec4\u6765\u8868\u793a\u5806\u3002\u7531\u4e8e\u5806\u662f\u5b8c\u5168\u4e8c\u53c9\u6811\uff0c\u6240\u4ee5\u4e0d\u4f1a\u6d6a\u8d39\u7a7a\u95f4\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u8ba9\u6211\u4eec\u4ee5\u4ee5\u4e0b\u65b9\u5f0f\u8003\u8651\u4e00\u4e2a\u5806\uff1a<\/p>\n<div>\n    <img decoding=\"async\" src=\"https:\/\/cdn.silicloud.com\/blog-img\/blog\/img\/65647aeda4b2f92e6c72bd8f\/5-0.png\" class='post-images' alt=\"\u5806\u7ed3\u6784\u793a\u610f\u56fe\" title=\"\u6700\u5927\u5806\u7ed3\u6784\">\n<\/div>\n<p>\u6570\u7ec4\u8868\u793a\u4e3a:<\/p>\n<div>\n    <img decoding=\"async\" src=\"https:\/\/cdn.silicloud.com\/blog-img\/blog\/img\/65647aeda4b2f92e6c72bd8f\/7-0.png\" class='post-images' alt=\"\u6570\u7ec4\u8868\u793a\" title=\"\u5806\u7684\u6570\u7ec4\u8868\u793a\">\n<\/div>\n<p>\u6700\u5927\u5806\u7684\u58f0\u660e\u65b9\u5f0f\u5982\u4e0b:<\/p>\n<pre class=\"post-pre\"><code> <span class=\"token keyword\">static<\/span> <span class=\"token keyword\">class<\/span> <span class=\"token class-name\">MaxHeap<\/span> <span class=\"token punctuation\">{<\/span>\r\n        <span class=\"token keyword\">private<\/span> <span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token class-name\">Heap<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u5b58\u50a8\u5806\u7684\u6570\u7ec4 <\/span>\r\n        <span class=\"token keyword\">private<\/span> <span class=\"token keyword\">int<\/span> size<span class=\"token punctuation\">;<\/span>\r\n        <span class=\"token keyword\">private<\/span> <span class=\"token keyword\">int<\/span> maxsize<span class=\"token punctuation\">;<\/span> \r\n\r\n        <span class=\"token keyword\">public<\/span> <span class=\"token class-name\">MaxHeap<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> size<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span>\r\n            <span class=\"token keyword\">this<\/span><span class=\"token punctuation\">.<\/span>maxsize <span class=\"token operator\">=<\/span> size<span class=\"token punctuation\">;<\/span>\r\n            <span class=\"token keyword\">this<\/span><span class=\"token punctuation\">.<\/span>size <span class=\"token operator\">=<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span>\r\n            <span class=\"token class-name\">Heap<\/span> <span class=\"token operator\">=<\/span> <span class=\"token keyword\">new<\/span> <span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token keyword\">this<\/span><span class=\"token punctuation\">.<\/span>maxsize <span class=\"token operator\">+<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span>\r\n            <span class=\"token class-name\">Heap<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">=<\/span> <span class=\"token class-name\">Integer<\/span><span class=\"token punctuation\">.<\/span><span class=\"token constant\">MAX_VALUE<\/span><span class=\"token punctuation\">;<\/span>\r\n        <span class=\"token punctuation\">}<\/span>\r\n<\/code><\/pre>\n<p>\u5806\u662f\u5b58\u50a8\u6700\u5927\u5806\u7684\u6570\u7ec4\u3002\u6784\u9020\u51fd\u6570\u63a5\u53d7\u5927\u5c0f\u5e76\u5c06\u6570\u7ec4\u7684\u7b2c0\u4e2a\u5143\u7d20\u521d\u59cb\u5316\u4e3a\u65e0\u7a77\u5927\u3002\u6211\u4eec\u4ece\u7d22\u5f151\u5f00\u59cb\u6784\u5efa\u6211\u4eec\u7684\u5806\u3002<\/p>\n<h3>\u83b7\u53d6\u8282\u70b9\u7684\u7236\u8282\u70b9<\/h3>\n<p>\u7531\u4e8e\u6211\u4eec\u5c06\u5806\u5b58\u50a8\u4e3a\u4e00\u4e2a\u6570\u7ec4\uff0c\u56e0\u6b64\u83b7\u53d6\u8282\u70b9\u7684\u7236\u8282\u70b9\u53d8\u5f97\u66f4\u5bb9\u6613\u4e86\u3002<\/p>\n<p>\u5bf9\u4e8e\u4f4d\u7f6e i \u4e0a\u7684\u5143\u7d20\uff0c\u5176\u7236\u5143\u7d20\u7684\u4f4d\u7f6e\u7531\u4e0b\u5f0f\u7ed9\u51fa\uff1a<\/p>\n<pre class=\"post-pre\"><code><span class=\"token punctuation\">(<\/span>i<span class=\"token punctuation\">)<\/span><span class=\"token operator\">\/<\/span><span class=\"token number\">2<\/span>\r\n<\/code><\/pre>\n<p>\u5728\u6267\u884c\u8fc7\u7a0b\u4e2d\uff0c\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u4f7f\u7528\u4ee5\u4e0b\u65b9\u6cd5\u83b7\u53d6\u7236\u7ea7\u5bf9\u8c61\uff1a<\/p>\n<pre class=\"post-pre\"><code><span class=\"token keyword\">private<\/span> <span class=\"token keyword\">int<\/span> <span class=\"token function\">parent<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> pos<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span>\r\n            <span class=\"token keyword\">return<\/span> pos <span class=\"token operator\">\/<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">;<\/span>\r\n        <span class=\"token punctuation\">}<\/span>\r\n<\/code><\/pre>\n<h3>\u4e3a\u8282\u70b9\u83b7\u53d6\u5b50\u8282\u70b9<\/h3>\n<p>\u5bf9\u4e8e\u4f4d\u4e8e\u4f4d\u7f6ei\u7684\u8282\u70b9\uff0c\u5b83\u7684\u5b50\u8282\u70b9\u7531\u4ee5\u4e0b\u516c\u5f0f\u7ed9\u51fa\uff1a<\/p>\n<p>\u5de6\u4fa7\u7684\u5b69\u5b50:<\/p>\n<pre class=\"post-pre\"><code><span class=\"token punctuation\">(<\/span><span class=\"token number\">2<\/span><span class=\"token operator\">*<\/span>i<span class=\"token punctuation\">)<\/span>\r\n<\/code><\/pre>\n<p>\u53f3\u5b69\u5b50:<\/p>\n<pre class=\"post-pre\"><code><span class=\"token punctuation\">(<\/span><span class=\"token number\">2<\/span><span class=\"token operator\">*<\/span>i<span class=\"token punctuation\">)<\/span><span class=\"token operator\">+<\/span> <span class=\"token number\">1<\/span>\r\n<\/code><\/pre>\n<p>\u6ce8\u610f\uff1a\u8fd9\u53ea\u9002\u7528\u4e8e\u5f53\u4f60\u7684\u5806\u4ece\u7d22\u5f151\u5f00\u59cb\u7684\u60c5\u51b5\u3002\u5982\u679c\u5806\u4ece\u4f4d\u7f6e0\u5f00\u59cb\uff0c\u5219\u5de6\u5b69\u5b50\u548c\u53f3\u5b69\u5b50\u7684\u503c\u5206\u522b\u4e3a(2*i) +1\u548c(2*i) +2\u3002<\/p>\n<p>\u5728\u4ee3\u7801\u4e2d\uff0c\u6211\u4eec\u6309\u7167\u4ee5\u4e0b\u65b9\u5f0f\u8fdb\u884c\u5b9e\u73b0\u3002<\/p>\n<pre class=\"post-pre\"><code>  <span class=\"token keyword\">private<\/span> <span class=\"token keyword\">int<\/span> <span class=\"token function\">leftChild<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> pos<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span>\r\n            <span class=\"token keyword\">return<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token number\">2<\/span> <span class=\"token operator\">*<\/span> pos<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">;<\/span>\r\n        <span class=\"token punctuation\">}<\/span>\r\n\r\n  <span class=\"token keyword\">private<\/span> <span class=\"token keyword\">int<\/span> <span class=\"token function\">rightChild<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> pos<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span>\r\n            <span class=\"token keyword\">return<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token number\">2<\/span> <span class=\"token operator\">*<\/span> pos<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">+<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span>\r\n        <span class=\"token punctuation\">}<\/span>\r\n<\/code><\/pre>\n<h3>3. \u5bf9\u65b0\u63d2\u5165\u7684\u5143\u7d20\u8fdb\u884c\u5806\u5316\u5904\u7406<\/h3>\n<p>\u5c06\u4e00\u4e2a\u5143\u7d20\u63d2\u5165\u5806\u540e\uff0c\u5b83\u53ef\u80fd\u4e0d\u6ee1\u8db3\u5806\u7684\u6027\u8d28\u3002\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u9700\u8981\u8c03\u6574\u5806\u7684\u4f4d\u7f6e\u4f7f\u5176\u91cd\u65b0\u6210\u4e3a\u5806\u3002\u8fd9\u4e2a\u8fc7\u7a0b\u88ab\u79f0\u4e3a\u5806\u5316\u3002<\/p>\n<p>\u5c06\u4e00\u4e2a\u5143\u7d20\u8fdb\u884c\u5806\u5316\u65f6\uff0c\u6211\u4eec\u9700\u8981\u627e\u5230\u5176\u5b50\u8282\u70b9\u4e2d\u7684\u6700\u5927\u503c\uff0c\u5e76\u5c06\u5176\u4e0e\u5f53\u524d\u5143\u7d20\u8fdb\u884c\u4ea4\u6362\u3002\u6211\u4eec\u91cd\u590d\u8fd9\u4e2a\u8fc7\u7a0b\uff0c\u76f4\u5230\u6bcf\u4e2a\u8282\u70b9\u90fd\u6ee1\u8db3\u5806\u7684\u6027\u8d28\u3002<\/p>\n<p>\u4e3a\u4e86\u5b9e\u73b0\u5806\u5316\uff0c\u6211\u4eec\u4ece\u6839\u8282\u70b9\u5411\u53f6\u5b50\u8282\u70b9\u79fb\u52a8\u3002\u56e0\u6b64\uff0c\u8fd9\u4e5f\u88ab\u79f0\u4e3a\u4e0b\u6c89\u5806\u5316\u3002<\/p>\n<p>\u53e6\u4e00\u4e2a\u503c\u5f97\u6ce8\u610f\u7684\u6709\u8da3\u70b9\u662f\u6211\u4eec\u53ea\u5bf9\u975e\u53f6\u8282\u70b9\u6267\u884c\u4e0b\u63a8\uff08\u4e0b\u6c89\u5806\u5316\uff09\u3002<\/p>\n<p>\u4e0b\u79fb\u51fd\u6570\u7684\u4ee3\u7801\u662f\uff1a<\/p>\n<pre class=\"post-pre\"><code> <span class=\"token keyword\">private<\/span> <span class=\"token keyword\">void<\/span> <span class=\"token function\">downHeapify<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> pos<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span>\r\n\r\n<span class=\"token comment\">\/\/\u68c0\u67e5\u8282\u70b9\u662f\u5426\u4e3a\u53f6\u5b50\u8282\u70b9<\/span>\r\n            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>pos <span class=\"token operator\">&gt;=<\/span> <span class=\"token punctuation\">(<\/span>size <span class=\"token operator\">\/<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&amp;&amp;<\/span> pos <span class=\"token operator\">&lt;=<\/span> size<span class=\"token punctuation\">)<\/span>\r\n                <span class=\"token keyword\">return<\/span><span class=\"token punctuation\">;<\/span>\r\n\r\n<span class=\"token comment\">\/\/\u68c0\u67e5\u662f\u5426\u9700\u8981\u4ea4\u6362<\/span>\r\n            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token class-name\">Heap<\/span><span class=\"token punctuation\">[<\/span>pos<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&lt;<\/span> <span class=\"token class-name\">Heap<\/span><span class=\"token punctuation\">[<\/span><span class=\"token function\">leftChild<\/span><span class=\"token punctuation\">(<\/span>pos<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">||<\/span>\r\n                    <span class=\"token class-name\">Heap<\/span><span class=\"token punctuation\">[<\/span>pos<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&lt;<\/span> <span class=\"token class-name\">Heap<\/span><span class=\"token punctuation\">[<\/span><span class=\"token function\">rightChild<\/span><span class=\"token punctuation\">(<\/span>pos<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span>\r\n\r\n<span class=\"token comment\">\/\/\u5c06\u7236\u8282\u70b9\u4e0e\u5de6\u53f3\u5b50\u8282\u70b9\u4e2d\u7684\u6700\u5927\u503c\u4ea4\u6362<\/span>\r\n                <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token class-name\">Heap<\/span><span class=\"token punctuation\">[<\/span><span class=\"token function\">leftChild<\/span><span class=\"token punctuation\">(<\/span>pos<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&gt;<\/span> <span class=\"token class-name\">Heap<\/span><span class=\"token punctuation\">[<\/span><span class=\"token function\">rightChild<\/span><span class=\"token punctuation\">(<\/span>pos<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span>\r\n                    <span class=\"token function\">swap<\/span><span class=\"token punctuation\">(<\/span>pos<span class=\"token punctuation\">,<\/span> <span class=\"token function\">leftChild<\/span><span class=\"token punctuation\">(<\/span>pos<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n\r\n<span class=\"token comment\">\/\/\u4ea4\u6362\u540e\uff0c\u5bf9\u5b50\u8282\u70b9\u8fdb\u884c\u5806\u5316<\/span>\r\n                    <span class=\"token function\">downHeapify<\/span><span class=\"token punctuation\">(<\/span><span class=\"token function\">leftChild<\/span><span class=\"token punctuation\">(<\/span>pos<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n                <span class=\"token punctuation\">}<\/span> <span class=\"token keyword\">else<\/span> <span class=\"token punctuation\">{<\/span>\r\n\r\n                   <span class=\"token function\">swap<\/span><span class=\"token punctuation\">(<\/span>pos<span class=\"token punctuation\">,<\/span> <span class=\"token function\">rightChild<\/span><span class=\"token punctuation\">(<\/span>pos<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n<span class=\"token comment\">\/\/\u4ea4\u6362\u540e\uff0c\u5bf9\u5b50\u8282\u70b9\u8fdb\u884c\u5806\u5316<\/span>\r\n                    <span class=\"token function\">downHeapify<\/span><span class=\"token punctuation\">(<\/span><span class=\"token function\">rightChild<\/span><span class=\"token punctuation\">(<\/span>pos<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n                <span class=\"token punctuation\">}<\/span>\r\n            <span class=\"token punctuation\">}<\/span>\r\n        <span class=\"token punctuation\">}<\/span>\r\n<\/code><\/pre>\n<p>\u4ea4\u6362\u51fd\u6570\u5982\u4e0b\uff1a<\/p>\n<pre class=\"post-pre\"><code>   <span class=\"token keyword\">private<\/span> <span class=\"token keyword\">void<\/span> <span class=\"token function\">swap<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> fpos<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> spos<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span>\r\n            <span class=\"token keyword\">int<\/span> tmp<span class=\"token punctuation\">;<\/span>\r\n            tmp <span class=\"token operator\">=<\/span> <span class=\"token class-name\">Heap<\/span><span class=\"token punctuation\">[<\/span>fpos<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span>\r\n            <span class=\"token class-name\">Heap<\/span><span class=\"token punctuation\">[<\/span>fpos<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">=<\/span> <span class=\"token class-name\">Heap<\/span><span class=\"token punctuation\">[<\/span>spos<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span>\r\n            <span class=\"token class-name\">Heap<\/span><span class=\"token punctuation\">[<\/span>spos<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">=<\/span> tmp<span class=\"token punctuation\">;<\/span>\r\n        <span class=\"token punctuation\">}<\/span>\r\n<\/code><\/pre>\n<p>\u60a8\u8fd8\u53ef\u4ee5\u4f7f\u7528 while \u5faa\u73af\u800c\u4e0d\u662f\u9012\u5f52\u6765\u7f16\u5199\u76f8\u540c\u7684\u4ee3\u7801\u3002<\/p>\n<p>\u5728\u4e0b\u6ea2\uff08down-heapify\uff09\u7684\u8fc7\u7a0b\u4e2d\uff0c\u6211\u4eec\u662f\u4ece\u7236\u8282\u70b9\u5411\u5b50\u8282\u70b9\u79fb\u52a8\u7684\u3002\u6211\u4eec\u4e5f\u53ef\u4ee5\u91c7\u7528\u81ea\u5e95\u5411\u4e0a\u7684\u65b9\u5f0f\u8fdb\u884c\u79fb\u52a8\u3002\u5f53\u6211\u4eec\u4ee5\u81ea\u5e95\u5411\u4e0a\u7684\u65b9\u5f0f\u79fb\u52a8\u65f6\uff0c\u6211\u4eec\u5c06\u4e00\u4e2a\u8282\u70b9\u4e0e\u5b83\u7684\u7236\u8282\u70b9\u8fdb\u884c\u6bd4\u8f83\u3002\u8fd9\u88ab\u79f0\u4e3a\u4e0a\u6ea2\uff08Up Heapify\uff09\u3002<\/p>\n<p>\u5411\u4e0a\u5806\u5316\u7684\u4ee3\u7801\u662f\uff1a<\/p>\n<pre class=\"post-pre\"><code>  <span class=\"token keyword\">private<\/span> <span class=\"token keyword\">void<\/span> <span class=\"token function\">heapifyUp<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> pos<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span>\r\n            <span class=\"token keyword\">int<\/span> temp <span class=\"token operator\">=<\/span> <span class=\"token class-name\">Heap<\/span><span class=\"token punctuation\">[<\/span>pos<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span>\r\n            <span class=\"token keyword\">while<\/span><span class=\"token punctuation\">(<\/span>pos<span class=\"token operator\">&gt;<\/span><span class=\"token number\">0<\/span> <span class=\"token operator\">&amp;&amp;<\/span> temp <span class=\"token operator\">&gt;<\/span> <span class=\"token class-name\">Heap<\/span><span class=\"token punctuation\">[<\/span><span class=\"token function\">parent<\/span><span class=\"token punctuation\">(<\/span>pos<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span>\r\n                <span class=\"token class-name\">Heap<\/span><span class=\"token punctuation\">[<\/span>pos<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">=<\/span> <span class=\"token class-name\">Heap<\/span><span class=\"token punctuation\">[<\/span><span class=\"token function\">parent<\/span><span class=\"token punctuation\">(<\/span>pos<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span>\r\n                pos <span class=\"token operator\">=<\/span> <span class=\"token function\">parent<\/span><span class=\"token punctuation\">(<\/span>pos<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n            <span class=\"token punctuation\">}<\/span>\r\n            <span class=\"token class-name\">Heap<\/span><span class=\"token punctuation\">[<\/span>pos<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">=<\/span> temp<span class=\"token punctuation\">;<\/span>\r\n        <span class=\"token punctuation\">}<\/span>\r\n\r\n<\/code><\/pre>\n<p>\u6211\u4eec\u4f7f\u7528while\u5faa\u73af\u800c\u4e0d\u662f\u9012\u5f52\u7f16\u5199\u4e86\u5411\u4e0a\u5806\u5316\u7684\u4ee3\u7801\u3002<\/p>\n<h3>4. \u63d2\u5165\u65b0\u7684\u8282\u70b9<\/h3>\n<p>\u5728\u6570\u7ec4\u7684\u672b\u5c3e\u6dfb\u52a0\u4e00\u4e2a\u65b0\u5143\u7d20\uff0c\u5e76\u8fdb\u884c\u4ea4\u6362\u4ee5\u786e\u4fdd\u5806\u5c5e\u6027\u7684\u6210\u7acb\u3002<\/p>\n<p>\u63d2\u5165\u7684\u7b97\u6cd5\u662f\uff1a<\/p>\n<ol>\n<li>\u589e\u52a0\u5806\u5927\u5c0f<\/li>\n<li>\u5c06\u65b0\u5143\u7d20\u4fdd\u7559\u5728\u5806\uff08\u6570\u7ec4\uff09\u7684\u672b\u5c3e<\/li>\n<li>\u4ece\u5e95\u90e8\u5411\u9876\u90e8\u8fdb\u884c\u5806\u5316<\/li>\n<\/ol>\n<p>\u63d2\u5165\u7684\u4ee3\u7801\u662f\uff1a<\/p>\n<pre class=\"post-pre\"><code> <span class=\"token keyword\">public<\/span> <span class=\"token keyword\">void<\/span> <span class=\"token function\">insert<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> element<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span>\r\n            <span class=\"token class-name\">Heap<\/span><span class=\"token punctuation\">[<\/span><span class=\"token operator\">++<\/span>size<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">=<\/span> element<span class=\"token punctuation\">;<\/span> \r\n            <span class=\"token keyword\">int<\/span> current <span class=\"token operator\">=<\/span> size<span class=\"token punctuation\">;<\/span>\r\n            <span class=\"token function\">heapifyUp<\/span><span class=\"token punctuation\">(<\/span>current<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n        <span class=\"token punctuation\">}<\/span>\r\n<\/code><\/pre>\n<h3>5. \u5220\u9664\/\u63d0\u53d6\u8282\u70b9<\/h3>\n<p>\u4ece\u5806\u4e2d\u5220\u9664\u6216\u63d0\u53d6\u4e00\u4e2a\u8282\u70b9\u65f6\uff0c\u6211\u4eec\u4ece\u6839\u8282\u70b9\u5220\u9664\u8be5\u5143\u7d20\u3002\u6839\u8282\u70b9\u603b\u662f\u63d0\u4f9b\u6700\u5927\u7684\u5143\u7d20\u3002<\/p>\n<p>\u5220\u9664\u7684\u7b97\u6cd5\u5982\u4e0b\uff1a<\/p>\n<ol>\n<li>\u5c06\u7b2c\u4e00\u4e2a\u5143\u7d20\u590d\u5236\u5230\u4e00\u4e2a\u53d8\u91cf\u4e2d\u3002<\/li>\n<li>\u5c06\u6700\u540e\u4e00\u4e2a\u5143\u7d20\u590d\u5236\u5230\u7b2c\u4e00\u4e2a\u4f4d\u7f6e\uff08\u6839\uff09\u3002<\/li>\n<li>\u8c03\u7528\u5411\u4e0b\u5806\u5316\u65b9\u6cd5\uff08downHeapify()\uff09\u3002<\/li>\n<\/ol>\n<p>\u5220\u9664\u7684\u4ee3\u7801\u662f\uff1a<\/p>\n<pre class=\"post-pre\"><code>  <span class=\"token keyword\">public<\/span> <span class=\"token keyword\">int<\/span> <span class=\"token function\">extractMax<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span>\r\n            <span class=\"token keyword\">int<\/span> max <span class=\"token operator\">=<\/span> <span class=\"token class-name\">Heap<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span>\r\n            <span class=\"token class-name\">Heap<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">=<\/span> <span class=\"token class-name\">Heap<\/span><span class=\"token punctuation\">[<\/span>size<span class=\"token operator\">--<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span>\r\n            <span class=\"token function\">downHeapify<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n            <span class=\"token keyword\">return<\/span> max<span class=\"token punctuation\">;<\/span>\r\n        <span class=\"token punctuation\">}<\/span>\r\n<\/code><\/pre>\n<p>\u5728\u8fd9\u91cc\u6211\u4eec\u4f7f\u7528 size&#8211; \u6765\u51cf\u5c11\u5806\u7684\u5927\u5c0f\u3002<\/p>\n<h2>Java\u4e2d\u5b8c\u6574\u5b9e\u73b0\u6700\u5927\u5806<\/h2>\n<p>\u5b8c\u6574\u7684Java\u6700\u5927\u5806\u7684\u5b9e\u73b0\u5982\u4e0b\u3002<\/p>\n<pre class=\"post-pre\"><code><span class=\"token keyword\">package<\/span> <span class=\"token namespace\">com<span class=\"token punctuation\">.<\/span><\/span><span class=\"token class-name\">JournalDev<\/span><span class=\"token punctuation\">;<\/span>\r\n\r\n<span class=\"token keyword\">public<\/span> <span class=\"token keyword\">class<\/span> <span class=\"token class-name\">Main<\/span> <span class=\"token punctuation\">{<\/span>\r\n    <span class=\"token keyword\">static<\/span> <span class=\"token keyword\">class<\/span> <span class=\"token class-name\">MaxHeap<\/span> <span class=\"token punctuation\">{<\/span>\r\n        <span class=\"token keyword\">private<\/span> <span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token class-name\">Heap<\/span><span class=\"token punctuation\">;<\/span>\r\n        <span class=\"token keyword\">private<\/span> <span class=\"token keyword\">int<\/span> size<span class=\"token punctuation\">;<\/span>\r\n        <span class=\"token keyword\">private<\/span> <span class=\"token keyword\">int<\/span> maxsize<span class=\"token punctuation\">;<\/span>\r\n\r\n        <span class=\"token keyword\">public<\/span> <span class=\"token class-name\">MaxHeap<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> size<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span>\r\n            <span class=\"token keyword\">this<\/span><span class=\"token punctuation\">.<\/span>maxsize <span class=\"token operator\">=<\/span> size<span class=\"token punctuation\">;<\/span>\r\n            <span class=\"token keyword\">this<\/span><span class=\"token punctuation\">.<\/span>size <span class=\"token operator\">=<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span>\r\n            <span class=\"token class-name\">Heap<\/span> <span class=\"token operator\">=<\/span> <span class=\"token keyword\">new<\/span> <span class=\"token keyword\">int<\/span><span class=\"token punctuation\">[<\/span><span class=\"token keyword\">this<\/span><span class=\"token punctuation\">.<\/span>maxsize <span class=\"token operator\">+<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span>\r\n            <span class=\"token class-name\">Heap<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">=<\/span> <span class=\"token class-name\">Integer<\/span><span class=\"token punctuation\">.<\/span><span class=\"token constant\">MAX_VALUE<\/span><span class=\"token punctuation\">;<\/span>\r\n        <span class=\"token punctuation\">}<\/span>\r\n\r\n        <span class=\"token keyword\">private<\/span> <span class=\"token keyword\">int<\/span> <span class=\"token function\">parent<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> pos<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span>\r\n            <span class=\"token keyword\">return<\/span> pos <span class=\"token operator\">\/<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">;<\/span>\r\n        <span class=\"token punctuation\">}<\/span>\r\n\r\n        <span class=\"token keyword\">private<\/span> <span class=\"token keyword\">int<\/span> <span class=\"token function\">leftChild<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> pos<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span>\r\n            <span class=\"token keyword\">return<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token number\">2<\/span> <span class=\"token operator\">*<\/span> pos<span class=\"token punctuation\">)<\/span>  <span class=\"token punctuation\">;<\/span>\r\n        <span class=\"token punctuation\">}<\/span>\r\n\r\n        <span class=\"token keyword\">private<\/span> <span class=\"token keyword\">int<\/span> <span class=\"token function\">rightChild<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> pos<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span>\r\n            <span class=\"token keyword\">return<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token number\">2<\/span> <span class=\"token operator\">*<\/span> pos<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">+<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span>\r\n        <span class=\"token punctuation\">}<\/span>\r\n\r\n\r\n        <span class=\"token keyword\">private<\/span> <span class=\"token keyword\">void<\/span> <span class=\"token function\">swap<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> fpos<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> spos<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span>\r\n            <span class=\"token keyword\">int<\/span> tmp<span class=\"token punctuation\">;<\/span>\r\n            tmp <span class=\"token operator\">=<\/span> <span class=\"token class-name\">Heap<\/span><span class=\"token punctuation\">[<\/span>fpos<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span>\r\n            <span class=\"token class-name\">Heap<\/span><span class=\"token punctuation\">[<\/span>fpos<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">=<\/span> <span class=\"token class-name\">Heap<\/span><span class=\"token punctuation\">[<\/span>spos<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span>\r\n            <span class=\"token class-name\">Heap<\/span><span class=\"token punctuation\">[<\/span>spos<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">=<\/span> tmp<span class=\"token punctuation\">;<\/span>\r\n        <span class=\"token punctuation\">}<\/span>\r\n\r\n        <span class=\"token keyword\">private<\/span> <span class=\"token keyword\">void<\/span> <span class=\"token function\">downHeapify<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> pos<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span>\r\n            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>pos <span class=\"token operator\">&gt;=<\/span> <span class=\"token punctuation\">(<\/span>size <span class=\"token operator\">\/<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&amp;&amp;<\/span> pos <span class=\"token operator\">&lt;=<\/span> size<span class=\"token punctuation\">)<\/span>\r\n                <span class=\"token keyword\">return<\/span><span class=\"token punctuation\">;<\/span>\r\n\r\n            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token class-name\">Heap<\/span><span class=\"token punctuation\">[<\/span>pos<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&lt;<\/span> <span class=\"token class-name\">Heap<\/span><span class=\"token punctuation\">[<\/span><span class=\"token function\">leftChild<\/span><span class=\"token punctuation\">(<\/span>pos<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">||<\/span>\r\n                    <span class=\"token class-name\">Heap<\/span><span class=\"token punctuation\">[<\/span>pos<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&lt;<\/span> <span class=\"token class-name\">Heap<\/span><span class=\"token punctuation\">[<\/span><span class=\"token function\">rightChild<\/span><span class=\"token punctuation\">(<\/span>pos<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span>\r\n\r\n                <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token class-name\">Heap<\/span><span class=\"token punctuation\">[<\/span><span class=\"token function\">leftChild<\/span><span class=\"token punctuation\">(<\/span>pos<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&gt;<\/span> <span class=\"token class-name\">Heap<\/span><span class=\"token punctuation\">[<\/span><span class=\"token function\">rightChild<\/span><span class=\"token punctuation\">(<\/span>pos<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span>\r\n                    <span class=\"token function\">swap<\/span><span class=\"token punctuation\">(<\/span>pos<span class=\"token punctuation\">,<\/span> <span class=\"token function\">leftChild<\/span><span class=\"token punctuation\">(<\/span>pos<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n                    <span class=\"token function\">downHeapify<\/span><span class=\"token punctuation\">(<\/span><span class=\"token function\">leftChild<\/span><span class=\"token punctuation\">(<\/span>pos<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n                <span class=\"token punctuation\">}<\/span> <span class=\"token keyword\">else<\/span> <span class=\"token punctuation\">{<\/span>\r\n                    <span class=\"token function\">swap<\/span><span class=\"token punctuation\">(<\/span>pos<span class=\"token punctuation\">,<\/span> <span class=\"token function\">rightChild<\/span><span class=\"token punctuation\">(<\/span>pos<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n                    <span class=\"token function\">downHeapify<\/span><span class=\"token punctuation\">(<\/span><span class=\"token function\">rightChild<\/span><span class=\"token punctuation\">(<\/span>pos<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n                <span class=\"token punctuation\">}<\/span>\r\n            <span class=\"token punctuation\">}<\/span>\r\n        <span class=\"token punctuation\">}<\/span>\r\n        <span class=\"token keyword\">private<\/span> <span class=\"token keyword\">void<\/span> <span class=\"token function\">heapifyUp<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> pos<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span>\r\n            <span class=\"token keyword\">int<\/span> temp <span class=\"token operator\">=<\/span> <span class=\"token class-name\">Heap<\/span><span class=\"token punctuation\">[<\/span>pos<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span>\r\n            <span class=\"token keyword\">while<\/span><span class=\"token punctuation\">(<\/span>pos<span class=\"token operator\">&gt;<\/span><span class=\"token number\">0<\/span> <span class=\"token operator\">&amp;&amp;<\/span> temp <span class=\"token operator\">&gt;<\/span> <span class=\"token class-name\">Heap<\/span><span class=\"token punctuation\">[<\/span><span class=\"token function\">parent<\/span><span class=\"token punctuation\">(<\/span>pos<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span>\r\n                <span class=\"token class-name\">Heap<\/span><span class=\"token punctuation\">[<\/span>pos<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">=<\/span> <span class=\"token class-name\">Heap<\/span><span class=\"token punctuation\">[<\/span><span class=\"token function\">parent<\/span><span class=\"token punctuation\">(<\/span>pos<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span>\r\n                pos <span class=\"token operator\">=<\/span> <span class=\"token function\">parent<\/span><span class=\"token punctuation\">(<\/span>pos<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n            <span class=\"token punctuation\">}<\/span>\r\n            <span class=\"token class-name\">Heap<\/span><span class=\"token punctuation\">[<\/span>pos<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">=<\/span> temp<span class=\"token punctuation\">;<\/span>\r\n        <span class=\"token punctuation\">}<\/span>\r\n\r\n\r\n        <span class=\"token keyword\">public<\/span> <span class=\"token keyword\">void<\/span> <span class=\"token function\">insert<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> element<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span>\r\n            <span class=\"token class-name\">Heap<\/span><span class=\"token punctuation\">[<\/span><span class=\"token operator\">++<\/span>size<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">=<\/span> element<span class=\"token punctuation\">;<\/span>\r\n\r\n\r\n            <span class=\"token keyword\">int<\/span> current <span class=\"token operator\">=<\/span> size<span class=\"token punctuation\">;<\/span>\r\n            <span class=\"token function\">heapifyUp<\/span><span class=\"token punctuation\">(<\/span>current<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n\r\n        <span class=\"token punctuation\">}<\/span>\r\n\r\n        <span class=\"token keyword\">public<\/span> <span class=\"token keyword\">void<\/span> <span class=\"token function\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span>\r\n            <span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">=<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;=<\/span> size <span class=\"token operator\">\/<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">++<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span>\r\n                <span class=\"token class-name\">System<\/span><span class=\"token punctuation\">.<\/span>out<span class=\"token punctuation\">.<\/span><span class=\"token function\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">+<\/span> <span class=\"token class-name\">Heap<\/span><span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">+<\/span> <span class=\"token string\">\": L- \"<\/span> <span class=\"token operator\">+<\/span>\r\n                        <span class=\"token class-name\">Heap<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">2<\/span> <span class=\"token operator\">*<\/span> i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">+<\/span> <span class=\"token string\">\" R- \"<\/span> <span class=\"token operator\">+<\/span> <span class=\"token class-name\">Heap<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">2<\/span> <span class=\"token operator\">*<\/span> i <span class=\"token operator\">+<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n                <span class=\"token class-name\">System<\/span><span class=\"token punctuation\">.<\/span>out<span class=\"token punctuation\">.<\/span><span class=\"token function\">println<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n            <span class=\"token punctuation\">}<\/span>\r\n        <span class=\"token punctuation\">}<\/span>\r\n\r\n        <span class=\"token keyword\">public<\/span> <span class=\"token keyword\">int<\/span> <span class=\"token function\">extractMax<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span>\r\n            <span class=\"token keyword\">int<\/span> max <span class=\"token operator\">=<\/span> <span class=\"token class-name\">Heap<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span>\r\n            <span class=\"token class-name\">Heap<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">=<\/span> <span class=\"token class-name\">Heap<\/span><span class=\"token punctuation\">[<\/span>size<span class=\"token operator\">--<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span>\r\n            <span class=\"token function\">downHeapify<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n            <span class=\"token keyword\">return<\/span> max<span class=\"token punctuation\">;<\/span>\r\n        <span class=\"token punctuation\">}<\/span>\r\n    <span class=\"token punctuation\">}<\/span>\r\n    <span class=\"token keyword\">public<\/span> <span class=\"token keyword\">static<\/span> <span class=\"token keyword\">void<\/span> <span class=\"token function\">main<\/span><span class=\"token punctuation\">(<\/span><span class=\"token class-name\">String<\/span><span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span> arg<span class=\"token punctuation\">)<\/span>\r\n    <span class=\"token punctuation\">{<\/span>\r\n      \r\n        <span class=\"token class-name\">MaxHeap<\/span> maxHeap <span class=\"token operator\">=<\/span> <span class=\"token keyword\">new<\/span> <span class=\"token class-name\">MaxHeap<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">15<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n        maxHeap<span class=\"token punctuation\">.<\/span><span class=\"token function\">insert<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n        maxHeap<span class=\"token punctuation\">.<\/span><span class=\"token function\">insert<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">4<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n        maxHeap<span class=\"token punctuation\">.<\/span><span class=\"token function\">insert<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n        maxHeap<span class=\"token punctuation\">.<\/span><span class=\"token function\">insert<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">5<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n        maxHeap<span class=\"token punctuation\">.<\/span><span class=\"token function\">insert<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">13<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n        maxHeap<span class=\"token punctuation\">.<\/span><span class=\"token function\">insert<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">6<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n        maxHeap<span class=\"token punctuation\">.<\/span><span class=\"token function\">insert<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">17<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n\r\n        maxHeap<span class=\"token punctuation\">.<\/span><span class=\"token function\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n        <span class=\"token class-name\">System<\/span><span class=\"token punctuation\">.<\/span>out<span class=\"token punctuation\">.<\/span><span class=\"token function\">println<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">\"\u6700\u5927\u503c\u662f \"<\/span> <span class=\"token operator\">+<\/span> maxHeap<span class=\"token punctuation\">.<\/span><span class=\"token function\">extractMax<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n    <span class=\"token punctuation\">}<\/span>\r\n\r\n<span class=\"token punctuation\">}<\/span> \r\n\r\n<\/code><\/pre>\n<pre class=\"post-pre\"><code>\u8f93\u51fa\u7ed3\u679c\uff1a\r\n\r\n17: L- 5 R- 13\r\n5: L- 1 R- 4\r\n13: L- 2 R- 6\r\n\u6700\u5927\u503c\u662f 17\r\n<\/code><\/pre>\n<h2>\u7ed3\u8bba<\/h2>\n<p>\u901a\u8fc7\u672c\u8282\u4ee3\u7801\uff0c\u6211\u4eec\u6210\u529f\u5b9e\u73b0\u4e86Java\u4e2d\u7684\u6700\u5927\u5806\u6570\u636e\u7ed3\u6784\u3002\u6700\u5927\u5806\u662f\u4e00\u79cd\u7279\u6b8a\u7684\u5b8c\u5168\u4e8c\u53c9\u6811\uff0c\u5176\u4e2d\u6bcf\u4e2a\u7236\u8282\u70b9\u7684\u503c\u90fd\u5927\u4e8e\u6216\u7b49\u4e8e\u5176\u5b50\u8282\u70b9\u7684\u503c\u3002\u5728\u6211\u4eec\u7684\u5b9e\u73b0\u4e2d\uff0c\u5305\u542b\u4e86\u4ee5\u4e0b\u5173\u952e\u529f\u80fd\uff1a<\/p>\n<ul>\n<li><strong>\u6784\u9020\u51fd\u6570<\/strong>\uff1a\u521d\u59cb\u5316\u5806\u7684\u5927\u5c0f\u548c\u6570\u7ec4<\/li>\n<li><strong>\u63d2\u5165\u64cd\u4f5c<\/strong>\uff1a\u5411\u5806\u4e2d\u6dfb\u52a0\u65b0\u5143\u7d20\u5e76\u4fdd\u6301\u5806\u7684\u6027\u8d28<\/li>\n<li><strong>\u63d0\u53d6\u6700\u5927\u503c<\/strong>\uff1a\u79fb\u9664\u5e76\u8fd4\u56de\u5806\u4e2d\u7684\u6700\u5927\u5143\u7d20<\/li>\n<li><strong>\u5806\u5316\u64cd\u4f5c<\/strong>\uff1a\u5305\u62ec\u5411\u4e0a\u5806\u5316(heapifyUp)\u548c\u5411\u4e0b\u5806\u5316(downHeapify)\uff0c\u7528\u4e8e\u7ef4\u62a4\u5806\u7684\u7ed3\u6784<\/li>\n<li><strong>\u8f85\u52a9\u65b9\u6cd5<\/strong>\uff1a\u83b7\u53d6\u7236\u8282\u70b9\u3001\u5de6\u5b50\u8282\u70b9\u548c\u53f3\u5b50\u8282\u70b9\u7684\u4f4d\u7f6e<\/li>\n<\/ul>\n<p>\u4ece\u8f93\u51fa\u7ed3\u679c\u53ef\u4ee5\u770b\u51fa\uff0c\u6211\u4eec\u7684\u6700\u5927\u5806\u5b9e\u73b0\u6b63\u786e\u5730\u7ef4\u62a4\u4e86\u5806\u7684\u6027\u8d28\uff0c\u6839\u8282\u70b917\u662f\u6574\u4e2a\u5806\u4e2d\u7684\u6700\u5927\u503c\uff0c\u5e76\u4e14\u6bcf\u4e2a\u7236\u8282\u70b9\u90fd\u5927\u4e8e\u5176\u5b50\u8282\u70b9\u3002\u5f53\u8c03\u7528extractMax()\u65b9\u6cd5\u65f6\uff0c\u6210\u529f\u8fd4\u56de\u5e76\u79fb\u9664\u4e86\u5806\u4e2d\u7684\u6700\u5927\u503c17\u3002<\/p>\n<p>\u6700\u5927\u5806\u5728\u8bb8\u591a\u7b97\u6cd5\u548c\u5e94\u7528\u4e2d\u90fd\u6709\u5e7f\u6cdb\u7528\u9014\uff0c\u5982\u4f18\u5148\u961f\u5217\u3001\u5806\u6392\u5e8f\u4ee5\u53ca\u56fe\u7b97\u6cd5\u4e2d\u7684\u6700\u77ed\u8def\u5f84\u95ee\u9898\u7b49\u3002\u638c\u63e1\u6700\u5927\u5806\u7684\u5b9e\u73b0\u5bf9\u4e8e\u7406\u89e3\u9ad8\u7ea7\u6570\u636e\u7ed3\u6784\u548c\u7b97\u6cd5\u81f3\u5173\u91cd\u8981\u3002<\/p>\n<p>\u672c\u6559\u7a0b\u662f\u5173\u4e8eJava\u4e2d\u6700\u5927\u5806\u6570\u636e\u7ed3\u6784\u7684\u5b9e\u73b0\u65b9\u6cd5\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u8fd9\u662f\u6587\u7ae0\u300a\u7528Java\u5b9e\u73b0\u6700\u5927\u5806\u6570\u636e\u7ed3\u6784\u300b\u7684\u7b2c1\u90e8\u5206\uff08\u51717\u90e8\u5206\uff09\u3002 \u4e00\u4e2a\u6700\u5927\u5806\u662f\u4e00\u4e2a\u5b8c\u5168\u4e8c\u53c9\u6811\uff0c\u5176\u4e2d\u4e00\u4e2a\u8282\u70b9\u7684\u503c [&hellip;]<\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[1814,1154,1816,1815,1113],"class_list":["post-649","post","type-post","status-publish","format-standard","hentry","category-uncategorized","tag-java","tag-1154","tag-1816","tag-1815","tag-1113"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v21.5 (Yoast SEO v21.5) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Java\u6700\u5927\u5806\u6570\u636e\u7ed3\u6784\u5b8c\u5168\u6307\u5357\uff1a\u5b9e\u73b0\u539f\u7406\u4e0e\u4ee3\u7801\u8be6\u89e3 - Blog - Silicon Cloud<\/title>\n<meta name=\"description\" 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