{"id":713,"date":"2012-11-24T00:38:45","date_gmt":"2012-11-23T16:38:45","guid":{"rendered":"http:\/\/comzyh.tk\/blog\/?p=713"},"modified":"2015-10-24T16:49:27","modified_gmt":"2015-10-24T08:49:27","slug":"%e9%80%89%e5%8f%96%e7%ac%ack%e5%a4%a7%e6%95%b0%e7%9a%84%e5%bf%ab%e9%80%9f%e9%80%89%e6%8b%a9%e7%ae%97%e6%b3%95%e5%92%8c%e6%b3%a8%e6%84%8f%e4%ba%8b%e9%a1%b9","status":"publish","type":"post","link":"https:\/\/comzyh.com\/blog\/archives\/713\/","title":{"rendered":"\u9009\u53d6\u7b2cK\u5927\u6570\u7684\u5feb\u901f\u9009\u62e9\u7b97\u6cd5\u548c\u6ce8\u610f\u4e8b\u9879"},"content":{"rendered":"<p>\u5feb\u901f\u9009\u62e9\u7b97\u6cd5,\u662f\u4e00\u79cd\u80fd\u5728\u5927\u81f4O(N)\u7684\u65f6\u95f4\u5185\u9009\u53d6\u6570\u7ec4\u4e2d\u7b2ck\u5927\u6216\u8005k\u5c0f\u7684\u7b97\u6cd5.\u5176\u57fa\u672c\u601d\u8def\u4e0e\u5feb\u901f\u6392\u5e8f\u7b97\u6cd5\u7c7b\u4f3c,\u4e5f\u662f\u5206\u6cbb\u7684\u601d\u60f3.<\/p>\n<p>\u5176\u5b9e\u8fd9\u4e2a\u7b97\u6cd5\u662f\u4e2a\u57fa\u7840\u7b97\u6cd5,\u4f46\u662f\u4e0d\u5e38\u7528,\u6240\u4ee5\u4eca\u5929\u7f16\u7684\u65f6\u5019\u9519\u4e86<a href=\"http:\/\/poj.org\/problem?id=2388\" target=\"_blank\">POJ2388<\/a>,\u624d\u6709\u4e86\u8fd9\u7bc7\u6587\u7ae0.<\/p>\n<ol>\n<li>\u6267\u884cPartition\u7b97\u6cd5(\u5c31\u662f\u90a3\u4e2a\u5feb\u6392\u91cc\u5c06\u533a\u95f4\u5185\u6240\u6709\u6570\u5212\u5206\u4e3a\u5c0f\u7684\u4e00\u90e8\u5206\u548c\u5927\u7684\u4e00\u90e8\u5206\u7684\u8fc7\u7a0b)<\/li>\n<li>\u5224\u65ad\u7b2ck\u5927\u7684\u6570\u662f\u5728\u5c0f\u7684\u90e8\u5206\u8fd8\u662f\u5927\u7684\u90e8\u5206<\/li>\n<li>\u9012\u5f52,\u76f4\u5230\u533a\u95f4\u8db3\u591f\u5c0f,\u8fd4\u56de\u7ed3\u679c<\/li>\n<\/ol>\n<p><!--more--><\/p>\n<p>\u4e0b\u9762\u51e0\u6bb5\u4ee3\u7801,<strong>\u5c24\u5176\u8981\u6ce8\u610f<\/strong>\u7684\u662f<\/p>\n<blockquote>\n<p>while(i&lt;j)<\/p>\n<\/blockquote>\n<p>\u8fd8\u662f<\/p>\n<blockquote>\n<p>while(i&lt;=j)<\/p>\n<\/blockquote>\n<p><strong>\u7a0b\u5e8f1:<\/strong><\/p>\n<pre lang=\"cpp\" file=\"QuickSelectExample.cpp\">\r\n\/*\r\nProgram:\u5feb\u901f\u9009\u62e9\u7b97\u6cd5\u6837\u4f8b\r\nAuthor:Comzyh\r\n*\/\r\n#include <cstdio>\r\nint array[10000],temp;\r\nint N,K;\r\nint QuickSelect(int arr[],int b,int e,int k);\r\nint main()\r\n{\r\n     scanf(\"%d%d\",N,K);\r\n     for (int i=1;i<=N;i++)\r\n          scanf(\"%d\",array[i]);\r\n     printf(\"The k th :%d\\n\",QuickSelect(array,1,N,K));\r\n}\r\nint QuickSelect(int arr[],int b,int e,int k)\r\n{\r\n     int i=b,j=e,mid=arr[(i+j)>>1];\r\n     while (i<=j)\/\/\u6ce8\u610f,\u5c0f\u4e8e\u7b49\u4e8e\r\n     {\r\n          while (arr[i]<mid)i++;\r\n          while (arr[j]>mid)j--;\r\n          if (i<=j)\r\n          {\r\n               temp=arr[i];arr[i]=arr[j];arr[j]=temp;\r\n               i++;j--;\r\n          }\r\n     }\r\n     if (b<j  k<=j)return QuickSelect(arr,b,j,k);\/\/\u5206\u6cbb\r\n     if (i<e  k>=i)return QuickSelect(arr,i,e,k);\r\n     return arr[k];\/\/\u5982\u679c\u4e0d\u5c5e\u4e8e\u4efb\u4f55\u4e00\u65b9,\u5c31\u7ed3\u675f,\u8fd4\u56de\r\n}\r\n<\/pre>\n<p>\u4e0d\u8fc7,\u5c31\u662f\u8fd9\u6837\u4e00\u4e2a\u7b80\u5355\u7684\u7b97\u6cd5,\u4eca\u5929\u4e5f\u51fa\u4e86\u70b9\u9519\u8bef,\u672c\u6765\u6211\u662f\u7528\u7528\u4e86\u591a\u5c11\u5e74\u7684\u5feb\u6392\u6539\u7684,\u5c31\u50cf\u4e0b\u9762\u8fd9\u6bb5\u4ee3\u7801<\/p>\n<p><strong>\u7a0b\u5e8f2:<\/strong><\/p>\n<pre lang=\"cpp\" file=\"QuickSortExample.cpp\">\r\n\/*\r\nProgram:\u5feb\u901f\u6392\u5e8f\u7b97\u6cd5\u6837\u4f8b\r\nAuthor:Comzyh\r\n*\/\r\n#include <cstdio>\r\nint array[10000],temp;\r\nint N,K;\r\nint QuickSort(int arr[],int b,int e);\r\nint main()\r\n{\r\n     scanf(\"%d\",N);\r\n     for (int i=1;i<=N;i++)\r\n          scanf(\"%d\",array[i]);\r\n     QuickSort(array,1,N);\r\n     for (int i=1;i<=N;i++)\r\n          printf(\"%d\\n\",array[i]);\r\n}\r\nint QuickSort(int arr[],int b,int e)\r\n{\r\n     int i=b,j=e,mid=arr[(i+j)>>1];\r\n     while (i<j)\/\/\u6ce8\u610f,\u5c0f\u4e8e\r\n     {\r\n          while (arr[i]<mid)i++;\r\n          while (arr[j]>mid)j--;\r\n          if (i<=j)\r\n          {\r\n               temp=arr[i];arr[i]=arr[j];arr[j]=temp;\r\n               i++;j--;\r\n          }\r\n     }\r\n     if (b<j)QuickSort(arr,b,j);\r\n     if (i<e)QuickSort(arr,i,e);\r\n}\r\n<\/pre>\n<p>\u51e0\u4e4e\u4e00\u6a21\u4e00\u6837,\u4f46\u662f\u4e0b\u9762\u8fd9\u6837\u5199\u5c31\u662f\u662f\u9519\u7684<\/p>\n<p><strong>\u7a0b\u5e8f3:<\/strong><\/p>\n<pre lang=\"cpp\">\r\nint QuickSelect(int arr[],int b,int e,int k)\r\n{\r\n     int i=b,j=e,mid=arr[(i+j)>>1];\r\n     while (i<j)\/\/\u6ce8\u610f,\u5c0f\u4e8e\r\n     {\r\n          ....\r\n     }\r\n     if (b<j  k<=j)return QuickSelect(arr,b,j,k);\/\/\u5206\u6cbb\r\n     if (i<e  k>=i)return QuickSelect(arr,i,e,k);\r\n     return arr[k];\/\/\u5982\u679c\u4e0d\u5c5e\u4e8e\u4efb\u4f55\u4e00\u65b9,\u5c31\u7ed3\u675f,\u8fd4\u56de\r\n}\r\n<\/pre>\n<p>\u800c\u8fd9\u6837\u5199\u662f\u5bf9\u7684<\/p>\n<p><strong>\u7a0b\u5e8f4:<\/strong><\/p>\n<pre lang=\"cpp\">\r\nint QuickSelect(int arr[],int b,int e,int k)\r\n{\r\n     int i=b,j=e,mid=arr[(i+j)>>1];\r\n     while (i<j)\/\/\u6ce8\u610f,\u5c0f\u4e8e\r\n     {\r\n          ....\r\n     }\r\n     if (b<j  k<=j)QuickSelect(arr,b,j,k);\/\/\u6ca1\u6709Return\r\n     if (i<e  k>=i) QuickSelect(arr,i,e,k);\r\n     return arr[k];\/\/\u5982\u679c\u4e0d\u5c5e\u4e8e\u4efb\u4f55\u4e00\u65b9,\u5c31\u7ed3\u675f,\u8fd4\u56de\r\n}\r\n\r\n\r\n<\/pre>\n<p>&nbsp;<\/p>\n<div>\u5feb\u901f\u6392\u5e8f\u5df2\u7ecf\u6a21\u677f\u5316\u4e86,\u539f\u7406\u4e5f\u6e05\u695a,\u5b9e\u73b0\u4e5f\u6b63\u786e,\u4f46\u662f,\u6709\u4e9b\u7ec6\u8282\u6709\u53ef\u80fd\u7406\u89e3\u4e0d\u5230\u4f4d,\u6240\u4ee5\u624d\u4f1a\u51fa\u9519.<\/div>\n<div>\u4e0b\u9762\u5206\u6790\u8fd9\u79cd\u60c5\u51b5\u51fa\u73b0\u7684\u539f\u56e0:<\/div>\n<div>\u51fa\u9519\u5176\u5b9e\u662f\u4e00\u79cd\u6781\u7aef\u60c5\u51b5,\u5373\u5411\u53f3\u626b\u63cf\u7684\u6307\u9488i\u548c\u5411\u5de6\u626b\u63cf\u7684\u6307\u9488j\u91cd\u5408\u4e8ek\u4f4d\u7f6e;.(\u8fd9\u79cd\u5de7\u5408\u771f\u7684\u4e0d\u5927\u5e38\u89c1,\u4f46\u662f\u8fd8\u662f\u8ba9\u6211\u7ed9\u78b0\u4e0a\u4e86,\u5982\u679c\u6ca1\u78b0\u4e0a,\u4f30\u8ba1\u6211\u7684\u9519\u8bef\u4e5f\u4e0d\u4f1a\u88ab\u7ea0\u6b63.)<\/div>\n<div>&nbsp;<\/div>\n<div>\u5047\u8bbe\u6709\u4e00\u4e2a\u6570\u7ec4arr[]={1,4,3,6,3,2},\u5f53k=4\u65f6;(<strong>\u4e0b\u6807\u4ece1\u7b97\u8d77,\u4e0b\u540c<\/strong>)<\/div>\n<div><a href=\"\/\/comzyh.com\/blog\/archives\/713\/quickselect\/\" rel=\"attachment wp-att-725\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" data-attachment-id=\"725\" data-permalink=\"https:\/\/comzyh.com\/blog\/archives\/713\/quickselect\/\" data-orig-file=\"https:\/\/i0.wp.com\/comzyh.com\/upload\/wordpress\/\/2012\/11\/QuickSelect.png?fit=565%2C437&amp;ssl=1\" data-orig-size=\"565,437\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;}\" data-image-title=\"QuickSelect\" data-image-description=\"&lt;p&gt;QuickSelect\u7ec6\u8282\u6f14\u793a&lt;\/p&gt;\n\" data-image-caption=\"&lt;p&gt;\u5feb\u901f\u9009\u62e9\u7b97\u6cd5\u7ec6\u8282\u6f14\u793a&lt;\/p&gt;\n\" data-large-file=\"https:\/\/i0.wp.com\/comzyh.com\/upload\/wordpress\/\/2012\/11\/QuickSelect.png?fit=565%2C437&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/comzyh.com\/upload\/\/wordpress\/\/2012\/11\/QuickSelect.png?resize=565%2C437\" alt=\"QuickSelect\u7ec6\u8282\u6f14\u793a\" title=\"QuickSelect\" width=\"565\" height=\"437\" class=\"size-full wp-image-725 wp-caption aligncenter\" \/><\/a> \u5feb\u901f\u9009\u62e9\u7b97\u6cd5\u7ec6\u8282\u6f14\u793a<\/div>\n<div>\u9996\u5148,\u6309\u7167Partition\u7b97\u6cd5,\u5148\u4ea4\u6362arr[2]=4 \u548carr[6]=2,\u53d8\u6210arr[]={1,2,3,6,3,4}<\/div>\n<div>\u7136\u540ei=3,j=5 <strong><em>\u5982\u56fe(1)<\/em><\/strong>\u4ea4\u6362,i++,j--\u540e,i=j=k=4<em> <strong>\u5982\u56fe(2)<\/strong><\/em><\/div>\n<ul>\n<li>\u6309\u7167\u9519\u8bef\u7684\u65b9\u6cd5(\u7a0b\u5e8f3)\u6267\u884c(<strong><em>\u5982\u56fe(3)<\/em><\/strong>),\u51fd\u6570\u4f1a\u5728\u95ed\u533a\u95f4[1,4]\u4e2d\u5bfb\u627e\u7b54\u6848,\u8fd9\u6837\u662f\u9519\u8bef\u7684,\u56e0\u4e3aarr[5]=3\u4e0d\u5728\u8fd9\u4e2a\u533a\u95f4\u5185<\/li>\n<li>\u6309\u7167\u7a0b\u5e8f1\u4e2d\u7684\u65b9\u6cd5\u6267\u884c,j\u4f1a\u81ea\u51cf1,\u56e0\u4e3a\u4e0d\u6ee1\u8db3i&lt;=j(i=4,j=3)\u7136\u540e\u4f1a\u5728\u95ed\u533a\u95f4[4,6]\u4e2d\u9012\u5f52(<strong><em>\u5982\u56fe(4)<\/em><\/strong>),\u5bfb\u627e\u7b54\u6848,\u8fd9\u6837\u662f\u6b63\u786e\u7684<\/li>\n<li>\u6309\u7167\u7a0b\u5e8f4\u4e2d\u7684\u65b9\u6cd5\u6267\u884c,QuickSelect(1,4,4)\u6267\u884c\u5b8c\u4e4b\u540earr[4]=6,\u8fd9\u6837,\u518d\u6267\u884cQuickSelect(4,6,4)\u65f6,\u7a0b\u5e8f\u4f1a\u8fd4\u56de\u6b63\u786e\u7684\u7ed3\u679c<\/li>\n<\/ul>\n<div>&nbsp;<\/div>\n<p>\u540e\u8bb0:<\/p>\n<blockquote>\n<p><strong>\u6709\u4e9b\u7b97\u6cd5\u6a21\u677f\u5316\u4e86\u4e4b\u540e,\u6709\u65f6\u6211\u4eec\u5e94\u8be5\u60f3\u60f3\u5b83\u7684\u7ec6\u8282.\u8981\u4e0d\u7136\u4f1a\u5403\u4e8f\u7684.<\/strong><\/p>\n<\/blockquote>\n","protected":false},"excerpt":{"rendered":"<p>\u5feb\u901f\u9009\u62e9\u7b97\u6cd5,\u662f\u4e00\u79cd\u80fd\u5728\u5927\u81f4O(N)\u7684\u65f6\u95f4\u5185\u9009\u53d6\u6570\u7ec4\u4e2d\u7b2ck\u5927\u6216\u8005k\u5c0f\u7684\u7b97\u6cd5.\u5176\u57fa\u672c\u601d\u8def\u4e0e\u5feb\u901f\u6392\u5e8f\u7b97\u6cd5\u7c7b\u4f3c,\u4e5f\u662f [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_feature_clip_id":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2},"jetpack_post_was_ever_published":false},"categories":[1,9,30],"tags":[52,29],"class_list":["post-713","post","type-post","status-publish","format-standard","hentry","category-1","category-9","category-non-solution","tag-52","tag-29"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 4.9.10 - aioseo.com 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property=\"og:title\" content=\"\u9009\u53d6\u7b2cK\u5927\u6570\u7684\u5feb\u901f\u9009\u62e9\u7b97\u6cd5\u548c\u6ce8\u610f\u4e8b\u9879 | Comzyh\u7684\u535a\u5ba2\" \/>\n\t\t<meta property=\"og:description\" content=\"\u4ecb\u7ecd\u4e86\u7528\u4e8e\u9009\u53d6\u7b2cK\u5927\u6570\u7684\u7b97\u6cd5--\u5feb\u901f\u9009\u62e9\u7b97\u6cd5,\u5e76\u6307\u51fa\u4e86\u4e0e\u5feb\u901f\u6392\u5e8f\u7b97\u6cd5\u7684\u7ec6\u8282\u533a\u522b\u4e0e\u5b9e\u73b0\u7684\u6613\u9519\u70b9\" \/>\n\t\t<meta property=\"og:url\" content=\"https:\/\/comzyh.com\/blog\/archives\/713\/\" \/>\n\t\t<meta name=\"twitter:card\" content=\"summary\" \/>\n\t\t<meta name=\"twitter:title\" content=\"\u9009\u53d6\u7b2cK\u5927\u6570\u7684\u5feb\u901f\u9009\u62e9\u7b97\u6cd5\u548c\u6ce8\u610f\u4e8b\u9879 | Comzyh\u7684\u535a\u5ba2\" \/>\n\t\t<meta name=\"twitter:description\" 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