{"id":204,"date":"2023-12-23T18:11:30","date_gmt":"2023-12-23T10:11:30","guid":{"rendered":"http:\/\/yanzhenhua.top\/?p=204"},"modified":"2024-01-01T23:58:01","modified_gmt":"2024-01-01T15:58:01","slug":"%e5%a0%86-heap","status":"publish","type":"post","link":"http:\/\/yanzhenhua.top\/?p=204","title":{"rendered":"\u5806 (Heap)"},"content":{"rendered":"<p class=\"md-end-block md-p\"><span class=\"md-plain\">\u5806\uff08Heap\uff09\u662f\u4e00\u79cd\u7279\u6b8a\u7684\u6811\u5f62\u6570\u636e\u7ed3\u6784\uff0c\u901a\u5e38\u5b9e\u73b0\u4e3a\u5b8c\u5168\u4e8c\u53c9\u6811\u3002\u5728\u5806\u4e2d\uff0c\u6bcf\u4e2a\u8282\u70b9\u7684\u503c\u90fd\u5927\u4e8e\u6216\u7b49\u4e8e\u5176\u5b50\u8282\u70b9\u7684\u503c\uff08\u6700\u5927\u5806\uff09\uff0c\u6216\u8005\u6bcf\u4e2a\u8282\u70b9\u7684\u503c\u90fd\u5c0f\u4e8e\u6216\u7b49\u4e8e\u5176\u5b50\u8282\u70b9\u7684\u503c\uff08\u6700\u5c0f\u5806\uff09\u3002\u8fd9\u79cd\u7279\u6027\u4f7f\u5f97\u5806\u5728\u5b9e\u73b0\u4f18\u5148\u961f\u5217\u3001\u6392\u5e8f\u7b97\u6cd5\u7b49\u65b9\u9762\u975e\u5e38\u6709\u7528\u3002<\/span><\/p>\n<h4 class=\"md-end-block md-heading\"><span class=\"md-plain\">\u57fa\u672c\u6982\u5ff5\uff1a<\/span><\/h4>\n<ol class=\"ol-list\" start=\"\">\n<li class=\"md-list-item\">\n<p class=\"md-end-block md-p\"><span class=\"md-pair-s \"><strong><span class=\"md-plain\">\u6700\u5927\u5806 (Max Heap)<\/span><\/strong><\/span><span class=\"md-plain\">\uff1a\u5bf9\u4e8e\u4efb\u4f55\u8282\u70b9i\uff0c\u5176\u7236\u8282\u70b9\u7684\u503c\u90fd\u5927\u4e8e\u6216\u7b49\u4e8e\u8282\u70b9i\u7684\u503c\u3002<\/span><\/p>\n<\/li>\n<li class=\"md-list-item\">\n<p class=\"md-end-block md-p\"><span class=\"md-pair-s \"><strong><span class=\"md-plain\">\u6700\u5c0f\u5806 (Min Heap)<\/span><\/strong><\/span><span class=\"md-plain\">\uff1a\u5bf9\u4e8e\u4efb\u4f55\u8282\u70b9i\uff0c\u5176\u7236\u8282\u70b9\u7684\u503c\u90fd\u5c0f\u4e8e\u6216\u7b49\u4e8e\u8282\u70b9i\u7684\u503c\u3002<\/span><\/p>\n<\/li>\n<li class=\"md-list-item\">\n<p class=\"md-end-block md-p\"><span class=\"md-pair-s \"><strong><span class=\"md-plain\">\u5b8c\u5168\u4e8c\u53c9\u6811<\/span><\/strong><\/span><span class=\"md-plain\">\uff1a\u9664\u4e86\u6700\u5e95\u5c42\uff0c\u5176\u4ed6\u5c42\u6b21\u90fd\u662f\u6ee1\u7684\uff0c\u6700\u5e95\u5c42\u4ece\u5de6\u5230\u53f3\u586b\u5145\u3002<\/span><\/p>\n<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<p class=\"md-end-block md-p\"><span class=\"md-plain\">\u5806\u662f\u4e00\u79cd\u6ee1\u8db3\u4ee5\u4e0b\u6761\u4ef6\u7684\u6811\uff1a<\/span><\/p>\n<p class=\"md-end-block md-p\"><span class=\"md-plain\">\u5806\u4e2d\u7684\u6bcf\u4e00\u4e2a\u8282\u70b9\u503c\u90fd\u5927\u4e8e\u7b49\u4e8e\uff08\u6216\u5c0f\u4e8e\u7b49\u4e8e\uff09\u5b50\u6811\u4e2d\u6240\u6709\u8282\u70b9\u7684\u503c\u3002\u6216\u8005\u8bf4\uff0c\u4efb\u610f\u4e00\u4e2a\u8282\u70b9\u7684\u503c\u90fd\u5927\u4e8e\u7b49\u4e8e\uff08\u6216\u5c0f\u4e8e\u7b49\u4e8e\uff09\u6240\u6709\u5b50\u8282\u70b9\u7684\u503c\u3002<\/span><\/p>\n<p class=\"md-end-block md-p\">\n<p class=\"md-end-block md-p\"><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-205 aligncenter\" src=\"http:\/\/yanzhenhua.top\/wp-content\/uploads\/2024\/01\/a6efce1b9d16fdfabca9f71050d1185c96ee7be9.jpeg@f_auto-300x61.jpg\" alt=\"\" width=\"590\" height=\"120\" srcset=\"http:\/\/yanzhenhua.top\/wp-content\/uploads\/2024\/01\/a6efce1b9d16fdfabca9f71050d1185c96ee7be9.jpeg@f_auto-300x61.jpg 300w, http:\/\/yanzhenhua.top\/wp-content\/uploads\/2024\/01\/a6efce1b9d16fdfabca9f71050d1185c96ee7be9.jpeg@f_auto.jpg 640w\" sizes=\"auto, (max-width: 590px) 100vw, 590px\" \/><\/p>\n<p class=\"md-end-block md-p\"><span class=\"md-plain\">img<\/span><\/p>\n<p class=\"md-end-block md-p\"><span class=\"md-plain\">\u7b2c 1 \u4e2a\u548c\u7b2c 2 \u4e2a\u662f\u5806\u3002\u7b2c 1 \u4e2a\u662f\u6700\u5927\u5806\uff0c\u6bcf\u4e2a\u8282\u70b9\u90fd\u6bd4\u5b50\u6811\u4e2d\u6240\u6709\u8282\u70b9\u5927\u3002\u7b2c 2 \u4e2a\u662f\u6700\u5c0f\u5806\uff0c\u6bcf\u4e2a\u8282\u70b9\u90fd\u6bd4\u5b50\u6811\u4e2d\u6240\u6709\u8282\u70b9\u5c0f\u3002<\/span><\/p>\n<p class=\"md-end-block md-p\"><span class=\"md-plain\">\u7b2c 3 \u4e2a\u4e0d\u662f\uff0c\u7b2c\u4e09\u4e2a\u4e2d\uff0c\u6839\u7ed3\u70b9 1 \u6bd4 2 \u548c 15 \u5c0f\uff0c\u800c 15 \u5374\u6bd4 3 \u5927\uff0c19 \u6bd4 5 \u5927\uff0c\u4e0d\u6ee1\u8db3\u5806\u7684\u6027\u8d28\u3002<\/span><\/p>\n<p class=\"md-end-block md-p\">\n<p class=\"md-end-block md-p\"><span class=\"md-pair-s \"><strong><span class=\"md-plain\">\u5806\u7684\u5206\u7c7b<\/span><\/strong><\/span><\/p>\n<p class=\"md-end-block md-p\"><span class=\"md-plain\">\u5806\u5206\u4e3a<\/span><span class=\"md-pair-s \"><strong><span class=\"md-plain\">\u300c\u6700\u5927\u5806\u300d<\/span><\/strong><\/span><span class=\"md-plain\">\u548c<\/span><span class=\"md-pair-s \"><strong><span class=\"md-plain\">\u300c\u6700\u5c0f\u5806\u300d<\/span><\/strong><\/span><span class=\"md-plain\">\u3002\u4e8c\u8005\u7684\u533a\u522b\u5728\u4e8e\u8282\u70b9\u7684\u6392\u5e8f\u65b9\u5f0f\u3002<\/span><\/p>\n<p class=\"md-end-block md-p\"><span class=\"md-pair-s \"><strong><span class=\"md-plain\">\u300c\u6700\u5927\u5806\u300d<\/span><\/strong><\/span><span class=\"md-plain\">\uff1a\u5806\u4e2d\u7684\u6bcf\u4e00\u4e2a\u8282\u70b9\u7684\u503c\u90fd\u5927\u4e8e\u7b49\u4e8e\u5b50\u6811\u4e2d\u6240\u6709\u8282\u70b9\u7684\u503c<\/span><span class=\"md-pair-s \"><strong><span class=\"md-plain\">\u300c\u6700\u5c0f\u5806\u300d<\/span><\/strong><\/span><span class=\"md-plain\">\uff1a\u5806\u4e2d\u7684\u6bcf\u4e00\u4e2a\u8282\u70b9\u7684\u503c\u90fd\u5c0f\u4e8e\u7b49\u4e8e\u5b50\u6811\u4e2d\u6240\u6709\u8282\u70b9\u7684\u503c\u5982\u4e0b\u56fe\u6240\u793a\uff0c\u56fe 1 \u662f\u6700\u5927\u5806\uff0c\u56fe 2 \u662f\u6700\u5c0f\u5806<\/span><\/p>\n<p class=\"md-end-block md-p\"><span class=\"md-image md-img-loaded\" data-src=\"https:\/\/pics4.baidu.com\/feed\/c83d70cf3bc79f3d03be9ef359ff5919738b2979.jpeg@f_auto?token=f82489805e54bcbcd6ba00791ccd2413\"><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-206 aligncenter\" src=\"http:\/\/yanzhenhua.top\/wp-content\/uploads\/2024\/01\/c83d70cf3bc79f3d03be9ef359ff5919738b2979.jpeg@f_auto-300x92.jpg\" alt=\"\" width=\"545\" height=\"167\" srcset=\"http:\/\/yanzhenhua.top\/wp-content\/uploads\/2024\/01\/c83d70cf3bc79f3d03be9ef359ff5919738b2979.jpeg@f_auto-300x92.jpg 300w, http:\/\/yanzhenhua.top\/wp-content\/uploads\/2024\/01\/c83d70cf3bc79f3d03be9ef359ff5919738b2979.jpeg@f_auto.jpg 640w\" sizes=\"auto, (max-width: 545px) 100vw, 545px\" \/><\/span><\/p>\n<h4 class=\"md-end-block md-heading\"><span class=\"md-plain\">\u57fa\u672c\u64cd\u4f5c\uff1a<\/span><\/h4>\n<ol class=\"ol-list\" start=\"\">\n<li class=\"md-list-item\">\n<p class=\"md-end-block md-p\"><span class=\"md-pair-s \"><strong><span class=\"md-plain\">\u63d2\u5165<\/span><\/strong><\/span><span class=\"md-plain\">\uff1a\u5c06\u65b0\u5143\u7d20\u6dfb\u52a0\u5230\u5806\u7684\u672b\u5c3e\uff0c\u7136\u540e\u4e0a\u79fb\u4ee5\u7ef4\u62a4\u5806\u7684\u6027\u8d28\u3002<\/span><\/p>\n<\/li>\n<li class=\"md-list-item\">\n<p class=\"md-end-block md-p\"><span class=\"md-pair-s \"><strong><span class=\"md-plain\">\u5220\u9664<\/span><\/strong><\/span><span class=\"md-plain\">\uff1a<\/span><\/p>\n<ul class=\"ul-list\" data-mark=\"-\">\n<li class=\"md-list-item\">\n<p class=\"md-end-block md-p\"><span class=\"md-plain\">\u5220\u9664\u6700\u5927\u5143\u7d20\uff08\u5bf9\u4e8e\u6700\u5927\u5806\uff09\u6216\u6700\u5c0f\u5143\u7d20\uff08\u5bf9\u4e8e\u6700\u5c0f\u5806\uff09\u3002<\/span><\/p>\n<\/li>\n<li class=\"md-list-item\">\n<p class=\"md-end-block md-p\"><span class=\"md-plain\">\u5c06\u6700\u540e\u4e00\u4e2a\u5143\u7d20\u79fb\u5230\u6839\u4f4d\u7f6e\uff0c\u7136\u540e\u4e0b\u79fb\u4ee5\u7ef4\u62a4\u5806\u7684\u6027\u8d28\u3002<\/span><\/p>\n<\/li>\n<\/ul>\n<\/li>\n<li class=\"md-list-item\">\n<p class=\"md-end-block md-p\"><span class=\"md-pair-s \"><strong><span class=\"md-plain\">\u67e5\u627e<\/span><\/strong><\/span><span class=\"md-plain\">\uff1a<\/span><\/p>\n<ul class=\"ul-list\" data-mark=\"-\">\n<li class=\"md-list-item\">\n<p class=\"md-end-block md-p\"><span class=\"md-plain\">\u67e5\u627e\u6700\u5927\u5143\u7d20\u6216\u6700\u5c0f\u5143\u7d20\u3002<\/span><\/p>\n<\/li>\n<li class=\"md-list-item\">\n<p class=\"md-end-block md-p\"><span class=\"md-plain\">\u67e5\u627e\u7279\u5b9a\u5143\u7d20\u6216\u68c0\u67e5\u5143\u7d20\u662f\u5426\u5b58\u5728\u3002<\/span><\/p>\n<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n<h4 class=\"md-end-block md-heading\"><span class=\"md-plain\">\u65f6\u95f4\u590d\u6742\u5ea6\uff1a<\/span><\/h4>\n<ol class=\"ol-list\" start=\"\">\n<li class=\"md-list-item\">\n<p class=\"md-end-block md-p\"><span class=\"md-pair-s \"><strong><span class=\"md-plain\">\u63d2\u5165\u548c\u5220\u9664<\/span><\/strong><\/span><span class=\"md-plain\">\uff1aO(log n)\uff0c\u5176\u4e2dn\u662f\u5806\u4e2d\u7684\u5143\u7d20\u6570\u91cf\u3002<\/span><\/p>\n<\/li>\n<li class=\"md-list-item\">\n<p class=\"md-end-block md-p\"><span class=\"md-pair-s \"><strong><span class=\"md-plain\">\u67e5\u627e\u6700\u5927\/\u6700\u5c0f\u5143\u7d20<\/span><\/strong><\/span><span class=\"md-plain\">\uff1aO(1)\u3002<\/span><\/p>\n<\/li>\n<\/ol>\n<h4 class=\"md-end-block md-heading\"><span class=\"md-plain\">\u5e94\u7528\u573a\u666f\uff1a<\/span><\/h4>\n<ol class=\"ol-list\" start=\"\">\n<li class=\"md-list-item\">\n<p class=\"md-end-block md-p\"><span class=\"md-pair-s \"><strong><span class=\"md-plain\">\u4f18\u5148\u961f\u5217<\/span><\/strong><\/span><span class=\"md-plain\">\uff1a\u5806\u53ef\u4ee5\u7528\u4e8e\u5b9e\u73b0\u9ad8\u6548\u7684\u4f18\u5148\u961f\u5217\uff0c\u652f\u6301\u5feb\u901f\u7684\u63d2\u5165\u3001\u5220\u9664\u548c\u67e5\u627e\u64cd\u4f5c\u3002<\/span><\/p>\n<\/li>\n<li class=\"md-list-item\">\n<p class=\"md-end-block md-p\"><span class=\"md-pair-s \"><strong><span class=\"md-plain\">\u6392\u5e8f\u7b97\u6cd5<\/span><\/strong><\/span><span class=\"md-plain\">\uff1a\u5982\u5806\u6392\u5e8f\uff08Heap Sort\uff09\u3002<\/span><\/p>\n<\/li>\n<li class=\"md-list-item\">\n<p class=\"md-end-block md-p\"><span class=\"md-pair-s \"><strong><span class=\"md-plain\">\u8c03\u5ea6\u548c\u4efb\u52a1\u5206\u914d<\/span><\/strong><\/span><span class=\"md-plain\">\uff1a\u5728\u64cd\u4f5c\u7cfb\u7edf\u548c\u8ba1\u7b97\u673a\u7f51\u7edc\u4e2d\u4f18\u5316\u8d44\u6e90\u5206\u914d\u3002<\/span><\/p>\n<\/li>\n<\/ol>\n<h4 class=\"md-end-block md-heading\"><span class=\"md-plain\">\u4f18\u70b9\uff1a<\/span><\/h4>\n<ol class=\"ol-list\" start=\"\">\n<li class=\"md-list-item\">\n<p class=\"md-end-block md-p\"><span class=\"md-pair-s \"><strong><span class=\"md-plain\">\u9ad8\u6548\u6027\u80fd<\/span><\/strong><\/span><span class=\"md-plain\">\uff1a\u5806\u652f\u6301\u5feb\u901f\u7684\u63d2\u5165\u3001\u5220\u9664\u548c\u67e5\u627e\u64cd\u4f5c\uff0c\u5177\u6709\u5bf9\u6570\u65f6\u95f4\u590d\u6742\u5ea6\u3002<\/span><\/p>\n<\/li>\n<li class=\"md-list-item\">\n<p class=\"md-end-block md-p\"><span class=\"md-pair-s \"><strong><span class=\"md-plain\">\u7075\u6d3b\u6027<\/span><\/strong><\/span><span class=\"md-plain\">\uff1a\u5806\u53ef\u4ee5\u52a8\u6001\u589e\u957f\u548c\u51cf\u5c11\uff0c\u9002\u5e94\u4e0d\u540c\u5927\u5c0f\u548c\u53d8\u5316\u7684\u6570\u636e\u96c6\u3002<\/span><\/p>\n<\/li>\n<\/ol>\n<h4 class=\"md-end-block md-heading\"><span class=\"md-plain\">\u7f3a\u70b9\uff1a<\/span><\/h4>\n<ol class=\"ol-list\" start=\"\">\n<li class=\"md-list-item\">\n<p class=\"md-end-block md-p\"><span class=\"md-pair-s \"><strong><span class=\"md-plain\">\u6709\u9650\u7684\u67e5\u8be2\u64cd\u4f5c<\/span><\/strong><\/span><span class=\"md-plain\">\uff1a\u5806\u4e3b\u8981\u652f\u6301\u63d2\u5165\u3001\u5220\u9664\u548c\u67e5\u627e\u6700\u5927\/\u6700\u5c0f\u5143\u7d20\uff0c\u4e0d\u9002\u5408\u9891\u7e41\u7684\u968f\u673a\u8bbf\u95ee\u64cd\u4f5c\u3002<\/span><\/p>\n<\/li>\n<li class=\"md-list-item\">\n<p class=\"md-end-block md-p\"><span class=\"md-pair-s \"><strong><span class=\"md-plain\">\u5185\u5b58\u4f7f\u7528<\/span><\/strong><\/span><span class=\"md-plain\">\uff1a\u5806\u53ef\u80fd\u9700\u8981\u989d\u5916\u7684\u5185\u5b58\u7a7a\u95f4\u6765\u5b58\u50a8\u6307\u9488\u6216\u7d22\u5f15\u3002<\/span><\/p>\n<\/li>\n<\/ol>\n<h4 class=\"md-end-block md-heading\"><span class=\"md-plain\">\u603b\u7ed3\uff1a<\/span><\/h4>\n<p class=\"md-end-block md-p md-focus\"><span class=\"md-plain md-expand\">\u5806\u662f\u4e00\u79cd\u5f3a\u5927\u800c\u9ad8\u6548\u7684\u6570\u636e\u7ed3\u6784\uff0c\u7528\u4e8e\u5b9e\u73b0\u4f18\u5148\u961f\u5217\u3001\u6392\u5e8f\u7b97\u6cd5\u7b49\u3002\u901a\u8fc7\u4fdd\u6301\u5176\u7279\u5b9a\u7684\u6027\u8d28\uff0c\u5806\u63d0\u4f9b\u4e86\u5feb\u901f\u3001\u52a8\u6001\u548c\u7075\u6d3b\u7684\u6570\u636e\u7ba1\u7406\u548c\u64cd\u4f5c\u65b9\u6cd5\uff0c\u4f7f\u5176\u6210\u4e3a\u89e3\u51b3\u5404\u79cd\u8ba1\u7b97\u95ee\u9898\u548c\u5e94\u7528\u573a\u666f\u7684\u7406\u60f3\u9009\u62e9\u3002<\/span><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5806\uff08Heap\uff09\u662f\u4e00\u79cd\u7279\u6b8a\u7684\u6811\u5f62\u6570\u636e\u7ed3\u6784\uff0c\u901a\u5e38\u5b9e\u73b0\u4e3a\u5b8c\u5168\u4e8c\u53c9\u6811\u3002\u5728\u5806\u4e2d\uff0c\u6bcf\u4e2a\u8282\u70b9\u7684\u503c\u90fd\u5927\u4e8e\u6216\u7b49\u4e8e\u5176\u5b50\u8282&hellip; <a href=\"http:\/\/yanzhenhua.top\/?p=204\" class=\"more-link read-more\" rel=\"bookmark\">\u7ee7\u7eed\u9605\u8bfb <span class=\"screen-reader-text\">\u5806 (Heap)<\/span><i class=\"fa 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