{"id":259,"date":"2022-03-22T17:09:13","date_gmt":"2022-03-22T09:09:13","guid":{"rendered":"https:\/\/dcupqiu.club\/?p=259"},"modified":"2022-03-22T17:09:13","modified_gmt":"2022-03-22T09:09:13","slug":"%e6%95%b0%e6%8d%ae%e7%bb%93%e6%9e%84%ef%bc%9a%e5%a0%86%ef%bc%8c%e7%ae%80%e5%8d%95%e6%95%99%e7%a8%8b","status":"publish","type":"post","link":"https:\/\/dcupqiu.club\/?p=259","title":{"rendered":"\u6570\u636e\u7ed3\u6784\uff1a\u5806\uff0c\u7b80\u5355\u6559\u7a0b"},"content":{"rendered":"\n<p><strong>\u5806\u7684\u5b9a\u4e49\uff1a<\/strong><br>\u5806\u662f\u4e00\u79cd\u7279\u522b\u7684\u4e8c\u53c9\u6811\uff0c\u6ee1\u8db3\u4ee5\u4e0b\u6761\u4ef6\u7684\u4e8c\u53c9\u6811\uff0c\u53ef\u4ee5\u79f0\u4e4b\u4e3a\u5806\uff1a<br>1\u3001\u5b8c\u5168\u4e8c\u53c9\u6811\uff1b2\u3001\u6bcf\u4e00\u4e2a\u8282\u70b9\u7684\u503c\u90fd<strong>\u5fc5\u987b\u5927\u4e8e\u7b49\u4e8e\u6216\u8005\u5c0f\u4e8e\u7b49\u4e8e<\/strong>\u5176\u5b69\u5b50\u8282\u70b9\u7684\u503c\u3002<br><strong>\u5806\u7684\u7279\u70b9\uff1a<\/strong>1\u3001\u53ef\u4ee5\u518dO(logN)\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u5411\u5806\u4e2d\u63d2\u5165\u5143\u7d20\uff1b2\u3001\u53ef\u4ee5\u5728O(logN)\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u5411\u5806\u4e2d\u5220\u9664\u5143\u7d20\uff1b3\u3001\u53ef\u4ee5\u5728O(1)\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u5185\u83b7\u53d6\u5806\u4e2d\u7684\u6700\u5927\u503c\u6216\u6700\u5c0f\u503c\u3002<br><strong>\u6700\u5927\u5806\uff1a<\/strong>\u5806\u4e2d\u6bcf\u4e00\u4e2a\u8282\u70b9\u7684\u503c\u90fd\u5927\u4e8e\u7b49\u4e8e \u5b69\u5b50\u8282\u70b9\u7684\u503c\u3002<strong>\u6700\u5c0f\u5806\uff1a<\/strong>\u5806\u4e2d\u6bcf\u4e00\u4e2a\u8282\u70b9\u7684\u503c\u90fd\u5c0f\u4e8e\u7b49\u4e8e\u5176\u5b69\u5b50\u8282\u70b9\u7684\u503c\u3002<\/p>\n\n\n\n<p><strong>\u5806\u7684\u63d2\u5165\u8fc7\u7a0b\uff1a<\/strong>\u63d2\u5165\u64cd\u4f5c\u662f\u6307\u5411<strong>\u5806<\/strong>\u4e2d\u63d2\u5165\u4e00\u4e2a\u5143\u7d20\u3002\u5143\u7d20\u63d2\u5165\u4e4b\u540e\uff0c<strong>\u5806<\/strong>\u4f9d\u65e7\u9700\u8981\u7ef4\u6301\u5b83\u7684\u7279\u6027\u3002<br>\u6d41\u7a0b\uff1a\u5411\u5806\u5c3e\u63d2\u5165\u65b0\u7684\u5143\u7d20\uff0c\u81ea\u5e95\u5411\u4e0a\u8fdb\u884c\u5192\u6ce1\u64cd\u4f5c\u3002<\/p>\n\n\n\n<p><strong>\u5806\u7684\u5220\u9664\u8fc7\u7a0b\uff1a<\/strong>\u5220\u9664\u64cd\u4f5c\u662f\u6307\u5728\u00a0<strong>\u5806<\/strong>\u00a0\u4e2d\u5220\u9664\u5806\u9876\u5143\u7d20\u3002\u5143\u7d20\u5220\u9664\u4e4b\u540e\uff0c<strong>\u5806<\/strong>\u00a0\u4f9d\u65e7\u9700\u8981\u7ef4\u6301\u5b83\u7684\u7279\u6027\u3002<br>\u6d41\u7a0b\uff1a\u5c06\u5806\u5e95\u5143\u7d20\u79fb\u52a8\u81f3\u5806\u9876\uff0c\u9006\u5411\u8fdb\u884c\u5192\u6ce1\u64cd\u4f5c\u3002<\/p>\n\n\n\n<p><strong>\u5806\u7684\u4ee3\u7801\u5b9e\u73b0\uff1a<\/strong><\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>#include&lt;iostream>\n#include&lt;vector>\n#include&lt;string.h>\n#include&lt;utility>\nusing namespace std;\n \n \ntemplate&lt;class T>\nclass Heap{\npublic:\n\tHeap()\n\t{}\n\tHeap(const T* array,size_t size)\n\t{\n\t\tv.resize(size);\n\t\tfor (size_t i = 0; i &lt; size; ++i){\n\t\t\tv&#91;i] = array&#91;i];\n\t\t}\n\t\t_CreateHeap();\n\t}\n\t\/\/\u63d2\u5165\u5143\u7d20\n\tvoid Push(size_t data)\n\t{\n\t\tv.push_back(data);\n\t\tif (v.size() &lt; 2)\n\t\t\treturn;\n\t\t_AdjustUp(v.size()-1);\n\t}\n\t\/\/\u5220\u9664\u5143\u7d20\n\tvoid Pop()\n\t{\n\t\tif (v.empty())\n\t\t\treturn;\n\t\tsize_t last = v.size() - 1;\n\t\tswap(v&#91;last], v&#91;0]);\n\t\tv.pop_back();\n\t\t_AdjustDown(0);\n\t}\n\t\/\/\u5224\u65ad\u5806\u662f\u5426\u4e3a\u7a7a\n\tbool Empty()const\n\t{\n\t\treturn v.empty();\n\t}\n\t\/\/\u6c42\u5806\u7684\u5927\u5c0f\n\tsize_t Size()const\n\t{\n\t\treturn v.size();\n\t}\n\t\/\/\u53d6\u5806\u9876\u5c42\u5143\u7d20\n\tT Top()\n\t{\n\t\treturn v&#91;0];\n\t}\nprivate:\n\t\/\/\u5b9e\u73b0\u6700\u5c0f\u5806\n\tvoid _CreateHeap()\n\t{\n\t\tif (v.size() &lt;= 1)\n\t\t\treturn;\n\t\tint root = (v.size() - 1 - 1) >> 1;\n\t\tfor (; root >= 0;root--){\n\t\t\t_AdjustDown(root);\n\t\t}\n\t}\n\t\/\/\u5411\u4e0b\u8c03\u6574\n\tvoid _AdjustDown(size_t parent)\n\t{\n\t\tsize_t child = parent * 2 + 1;\n\t\tsize_t size = v.size();\n\t\twhile (child&lt;size){\n\t\t\tif (child + 1 &lt; size&amp;&amp;v&#91;child] > v&#91;child + 1])\n\t\t\t\tchild += 1;\n\t\t\tif (v&#91;parent] > v&#91;child]){\n\t\t\t\tswap(v&#91;parent], v&#91;child]);\n\t\t\t\tparent = child;\n\t\t\t\tchild = parent * 2 + 1;\n\t\t\t}\n\t\t\telse{\n\t\t\t\treturn;\n\t\t\t}\n\t\t}\n\t}\n\t\/\/\u5411\u4e0a\u8c03\u6574\n\tvoid _AdjustUp(size_t child)\n\t{\n\t\tsize_t parent = (child - 1) >> 1;\n\t\twhile (0!=child){\n\t\t\tif (v&#91;parent] > v&#91;child]){\n\t\t\t\tswap(v&#91;parent], v&#91;child]);\n\t\t\t\tchild = parent;\n\t\t\t\tparent = (child - 1) >> 1;\n\t\t\t}\n\t\t\telse\n\t\t\t\treturn;\n\t\t}\n\t}\nprivate:\n\tvector&lt;T> v;\n};\n \nvoid test(){\n\tint arr&#91;] = { 53, 17, 78, 9, 45, 65, 87, 23 };\n\tHeap&lt;int> h(arr, sizeof(arr) \/ sizeof(arr&#91;0]));\n\th.Push(5);\n\th.Size();\n\th.Pop();\n\th.Size();\n\th.Top();\n}\n \nint main(){\n\ttest();\n\treturn 0;\n}<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator is-style-wide\"\/>\n\n\n\n<p><strong>\u5806\u7684\u65f6\u95f4\u590d\u6742\u5ea6<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong>\u300c\u5806\u300d\u7684\u7528\u6cd5<\/strong><\/td><td><strong>\u65f6\u95f4\u590d\u6742\u5ea6<\/strong><\/td><td><strong>\u7a7a\u95f4\u590d\u6742\u5ea6<\/strong><\/td><\/tr><tr><td>\u521b\u5efa\u300c\u5806\u300d<\/td><td>O(N)<\/td><td>O(N)<\/td><\/tr><tr><td>\u63d2\u5165\u5143\u7d20<\/td><td>O(logN)<\/td><td>O(1)<\/td><\/tr><tr><td>\u83b7\u53d6\u5806\u9876\u5143\u7d20<\/td><td>O(1)<\/td><td>O(1)<\/td><\/tr><tr><td>\u5220\u9664\u5806\u9876\u5143\u7d20<\/td><td>O(logN)<\/td><td>O(1)<\/td><\/tr><tr><td>\u83b7\u53d6\u300c\u5806\u300d\u7684\u957f\u5ea6<\/td><td>O(1)<\/td><td>O(1)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<hr class=\"wp-block-separator is-style-wide\"\/>\n\n\n\n<p><strong>\u5806<\/strong>\u6392\u5e8f\u7b97\u6cd5\u6b65\u9aa4\u5982\u4e0b\uff1a<br>1\u3001\u5c06\u6240\u6709\u5143\u7d20\u5806\u5316\u6210\u4e00\u4e2a\u5806<br>2\u3001\u53d6\u51fa\u5e76\u5220\u9664\u5806\u9876\u5143\u7d20\uff0c\u5e76\u5c06\u5176\u653e\u7f6e\u5728\u5b58\u50a8\u6709\u5e8f\u7684\u6570\u636e\u96c6\u4e2d<br>3\u3001\u5bf9\u5806\u8fdb\u884c\u8c03\u6574<br>4\u3001\u91cd\u590d2\u4e0e3\uff0c\u76f4\u5230\u5806\u4e2d\u6ca1\u6709\u5143\u7d20<br><strong>\u65f6\u95f4\u590d\u6742\u5ea6<\/strong>\uff1aO(NlogN)\u3002N\u662f\u5806\u4e2d\u7684\u5143\u7d20\u4e2a\u6570<br><strong>\u7a7a\u95f4\u590d\u6742\u5ea6\uff1a<\/strong>O(N)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5806\u7684\u5b9a\u4e49\uff1a\u5806\u662f\u4e00\u79cd\u7279\u522b\u7684\u4e8c\u53c9\u6811\uff0c\u6ee1\u8db3\u4ee5\u4e0b\u6761\u4ef6\u7684\u4e8c\u53c9&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[10,11],"tags":[],"class_list":["post-259","post","type-post","status-publish","format-standard","hentry","category-c-plus-plus","category-programer-language"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v18.5.1 - 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