{"id":206,"date":"2025-07-25T15:29:07","date_gmt":"2025-07-25T07:29:07","guid":{"rendered":"http:\/\/www.tgwttt.xyz\/?p=206"},"modified":"2025-11-24T16:40:22","modified_gmt":"2025-11-24T08:40:22","slug":"%e6%8e%92%e5%ba%8f%ef%bc%882%ef%bc%89-%e5%bf%ab%e9%80%9f%e6%8e%92%e5%ba%8f","status":"publish","type":"post","link":"https:\/\/www.tgwttt.xyz\/?p=206","title":{"rendered":"\u6392\u5e8f\uff082\uff09-\u5feb\u901f\u6392\u5e8f"},"content":{"rendered":"\n<p>    \u5feb\u901f\u6392\u5e8f\u662fHoare\u4e8e1962\u5e74\u63d0\u51fa\u7684\u4e00\u79cd\u4e8c\u53c9\u6811\u7ed3\u6784\u7684\u4ea4\u6362\u6392\u5e8f\u65b9\u6cd5\uff0c\u5176\u57fa\u672c\u601d\u60f3\u4e3a\uff1a\u4efb\u53d6\u5f85\u6392\u5e8f\u5143\u7d20\u5e8f\u5217\u4e2d\u7684\u67d0\u5143\u7d20\u4f5c\u4e3a\u57fa\u51c6\u503c\uff0c\u6309\u7167\u8be5\u6392\u5e8f\u7801\u5c06\u5f85\u6392\u5e8f\u96c6\u5408\u5206\u5272\u6210\u4e24\u5b50\u5e8f\u5217\uff0c\u5de6\u5b50\u5e8f\u5217\u4e2d\u6240\u6709\u5143\u7d20\u5747\u5c0f\u4e8e\u57fa\u51c6\u503c\uff0c\u53f3\u5b50\u5e8f\u5217\u4e2d\u6240\u6709\u5143\u7d20\u5747\u5927\u4e8e\u57fa\u51c6\u503c\uff0c\u7136\u540e\u6700\u5de6\u53f3\u5b50\u5e8f\u5217\u91cd\u590d\u8be5\u8fc7\u7a0b\uff0c\u76f4\u5230\u6240\u6709\u5143\u7d20\u90fd\u6392\u5217\u5728\u76f8\u5e94\u4f4d\u7f6e\u4e0a\u4e3a\u6b62\u3002<br><\/p>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-1 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"811\" height=\"252\" data-id=\"211\" src=\"http:\/\/www.tgwttt.xyz\/wp-content\/uploads\/2025\/07\/b1bdea2e1c69433c80a7e818daedf9e5.gif\" alt=\"\" class=\"wp-image-211\"\/><\/figure>\n<\/figure>\n\n\n\n<p>\u4e0a\u56fe\u4e3a\u5feb\u901f\u6392\u5e8f\u6f14\u793a\u56fe\uff1a<\/p>\n\n\n\n<p>\u5176\u6838\u5fc3\u601d\u60f3\u662f\u4ece\u4e24\u7aef\u5411\u4e2d\u95f4\u626b\u63cf\uff0c\u9ad8\u6548\u5730\u5c06\u6570\u7ec4\u5206\u4e3a\u4e24\u90e8\u5206\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u5b9e\u73b0\u6b65\u9aa4<\/h3>\n\n\n\n<ol start=\"1\" class=\"wp-block-list\">\n<li>\u9009\u57fa\u51c6\u503c<br>\u901a\u5e38\u9009\u7b2c\u4e00\u4e2a\u5143\u7d20\u4f5c\u4e3a\u57fa\u51c6\uff08<code>pivot = arr[low]<\/code>\uff09\u3002<\/li>\n\n\n\n<li>\u53cc\u6307\u9488\u626b\u63cf\n<ul class=\"wp-block-list\">\n<li>\u5de6\u6307\u9488<strong> <code>i<\/code><\/strong>\uff1a\u4ece <code>low<\/code> \u5f00\u59cb\u5411\u53f3\u627e\u5927\u4e8e\u7b49\u4e8e<strong> <code>pivot<\/code><\/strong> \u7684\u5143\u7d20\u3002<\/li>\n\n\n\n<li>\u53f3\u6307\u9488<strong> <code>j<\/code><\/strong>\uff1a\u4ece <code>high<\/code> \u5f00\u59cb\u5411\u5de6\u627e\u5c0f\u4e8e\u7b49\u4e8e<strong> <code>pivot<\/code><\/strong> \u7684\u5143\u7d20\u3002<\/li>\n\n\n\n<li>\u4ea4\u6362<code>arr[i]<\/code> \u548c <code>arr[j]<\/code>\uff0c\u76f4\u5230 <code>i<\/code> \u548c <code>j<\/code> \u76f8\u9047\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u7ec8\u6b62\u6761\u4ef6<br>\u5f53 <code>i >= j<\/code> \u65f6\u505c\u6b62\uff0c\u6b64\u65f6 <code>j<\/code> \u7684\u4f4d\u7f6e\u5373\u4e3a\u5206\u533a\u70b9\uff08<code>pivot<\/code> \u5e94\u63d2\u5165\u7684\u4f4d\u7f6e\uff09\u3002<\/li>\n\n\n\n<li>\u9012\u5f52\u6392\u5e8f<br>\u5bf9 <code>low<\/code> \u5230 <code>j<\/code> \u548c <code>j+1<\/code> \u5230 <code>high<\/code> \u7684\u5b50\u6570\u7ec4\u9012\u5f52\u6392\u5e8f\u3002<\/li>\n<\/ol>\n\n\n\n<p>\u4e0b\u9762\u662f\u4ee3\u7801\u6f14\u793a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>void quicksort(vector<int>& t, int left, int right) {\n\tint key = t[left];\n\tint end = right, begin = left + 1;\n\twhile (begin < end) {\n\t\twhile (begin<end&#038;&#038;t[begin] >key) {\n\t\t\tbegin++;\n\t\t}\n\t\twhile (begin<end&#038;&#038;t[end] < key) {\n\t\t\tend--;\n\t\t}\n\t\tswap(t[begin], t[end]);\n\t}\n\tswap(t[left], t[begin]);\n\tquicksort(t, left, begin - 1);\n\tquicksort(t, begin + 1, right);\n}\n\n<strong>\u4f18\u5316<\/strong><\/code><\/pre>\n\n\n\n<p>           1.\u770b\u4e86\u4e0a\u8ff0\u4ee3\u7801\u601d\u8def\uff0c\u6211\u4eec\u4f1a\u51fa\u73b0\u4e00\u4e2a\u60f3\u6cd5\uff0c\u5982\u679c\u5c06\u5176\u5747\u5300\u4e8c\u5206\u53ef\u80fd\u5f88\u50cf\u4e00\u9897\u4e8c\u53c9\u6811\uff0c\u800c\u4e8c\u53c9\u6811\u7684\u53f6\u5b50\u8282\u70b9\u5360\u5168\u6570\u7684\u4e00\u534a\uff0c\u6b64\u65f6\u6211\u4eec\u662f\u5426\u53ef\u4ee5\u4f18\u5316\u5feb\u6392\u5462\uff1f\u6240\u4ee5\u6211\u4eec\u53ef\u4ee5\u8fd9\u6837\u64cd\u4f5c\uff0c\u5728\u904d\u5386\u6700\u540e\u51e0\u4e2a\u533a\u95f4\u65f6\u8fdb\u884c\u5c0f\u533a\u95f4\u4f18\u5316\uff0c\u4f7f\u7528\u63d2\u5165\u6392\u5e8f\u53bb\u6392\u5e8f\u63a5\u4e0b\u6765\u7684\u90e8\u5206<\/p>\n\n\n\n<p>           2.\u8fd8\u6709\u4e00\u4e2a\u95ee\u9898\u8981\u662f\u6bcf\u6b21\u90fd\u662f\u5728\u6570\u7ec4\u6700\u540e\u6216\u6700\u524d\u76f8\u9047\u5c82\u4e0d\u662f\u65f6\u95f4\u590d\u6742\u5ea6\u53d8\u6210\u4e86O(n^2),\u4e8e\u662f\u6211\u4eec\u9700\u8981\u968f\u673a\u9009\u62e9\u4e00\u4e2akey\u503c\uff0c\u535a\u4e3b\u8fd9\u91cc\u7684\u5b9e\u73b0\u601d\u8def\u662f\u9009\u62e9left,right\uff0c\uff08left+right)\/2,\u91cc\u9762\u4e2d\u95f4\u7684\u90a3\u4e2a\u6570\u53bb\u89e3\u51b3\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"699\" height=\"209\" src=\"http:\/\/www.tgwttt.xyz\/wp-content\/uploads\/2025\/07\/image-42.png\" alt=\"\" class=\"wp-image-212\" srcset=\"https:\/\/www.tgwttt.xyz\/wp-content\/uploads\/2025\/07\/image-42.png 699w, https:\/\/www.tgwttt.xyz\/wp-content\/uploads\/2025\/07\/image-42-300x90.png 300w\" sizes=\"auto, (max-width: 699px) 100vw, 699px\" \/><\/figure>\n\n\n\n<p>\u4e0b\u9762\u662f\u4f18\u5316\u540e\u7684\u4ee3\u7801\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>int GetMidi(int* a, int left, int right)\n{\n\tint midi = (left + right) \/ 2;\n\t\/\/ left midi right\n\tif (a[left] < a[midi])\n\t{\n\t\tif (a[midi] < a[right])\n\t\t{\n\t\t\treturn midi;\n\t\t}\n\t\telse if (a[left] < a[right])\n\t\t{\n\t\t\treturn right;\n\t\t}\n\t\telse\n\t\t{\n\t\t\treturn left;\n\t\t}\n\t}\n\telse \/\/ a[left] > a[midi]\n\t{\n\t\tif (a[midi] > a[right])\n\t\t{\n\t\t\treturn midi;\n\t\t}\n\t\telse if (a[left] < a[right])\n\t\t{\n\t\t\treturn left;\n\t\t}\n\t\telse\n\t\t{\n\t\t\treturn right;\n\t\t}\n\t}\n}\n\n\/\/ \u907f\u514d\u6709\u5e8f\u60c5\u51b5\u4e0b\uff0c\u6548\u7387\u9000\u5316\n\/\/ 1\u3001\u968f\u673a\u9009key\n\/\/ 2\u3001\u4e09\u6570\u53d6\u4e2d\nvoid QuickSort(int* a, int left, int right)\n{\n\tif (left >= right)\n\t\treturn;\n\n\t\/\/ \u5c0f\u533a\u95f4\u4f18\u5316\uff0c\u4e0d\u518d\u9012\u5f52\u5206\u5272\u6392\u5e8f\uff0c\u51cf\u5c11\u9012\u5f52\u7684\u6b21\u6570\n\tif ((right - left + 1) < 10)\n\t{\n\t\tInsertSort(a+left, right - left + 1);\n\t}\n\telse\n\t{\n\t\t\/\/ \u4e09\u6570\u53d6\u4e2d\n\t\tint midi = GetMidi(a, left, right);\n\t\tSwap(&#038;a[left], &#038;a[midi]);\n\n\t\tint keyi = left;\n\t\tint begin = left, end = right;\n\t\twhile (begin < end)\n\t\t{\n\t\t\t\/\/ \u53f3\u8fb9\u627e\u5c0f\n\t\t\twhile (begin < end &#038;&#038; a[end] >= a[keyi])\n\t\t\t{\n\t\t\t\t--end;\n\t\t\t}\n\n\t\t\t\/\/ \u5de6\u8fb9\u627e\u5927\n\t\t\twhile (begin < end &#038;&#038; a[begin] <= a[keyi])\n\t\t\t{\n\t\t\t\t++begin;\n\t\t\t}\n\n\t\t\tSwap(&#038;a[begin], &#038;a[end]);\n\t\t}\n\n\t\tSwap(&#038;a[keyi], &#038;a[begin]);\n\t\tkeyi = begin;\n\t\t\/\/ [left, keyi-1] keyi [keyi+1, right]\n\t\tQuickSort(a, left, keyi - 1);\n\t\tQuickSort(a, keyi + 1, right);\n\t}\n}<\/code><\/pre>\n\n\n\n<p>\u4eca\u5929\u7684\u66f4\u65b0\u5c31\u5230\u8fd9\u91cc\uff0c\u5982\u6709\u9519\u8bef\uff0c\u6b22\u8fce\u6307\u51fa\uff0c\u8c22\u8c22<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5feb\u901f\u6392\u5e8f\u662fHoare\u4e8e1962\u5e74\u63d0\u51fa\u7684\u4e00\u79cd\u4e8c\u53c9\u6811\u7ed3\u6784\u7684\u4ea4\u6362\u6392\u5e8f\u65b9\u6cd5\uff0c\u5176\u57fa\u672c\u601d\u60f3\u4e3a\uff1a\u4efb\u53d6\u5f85\u6392\u5e8f\u5143\u7d20\u5e8f\u5217\u4e2d\u7684\u67d0\u5143\u7d20&#8230;<\/p>\n","protected":false},"author":1,"featured_media":208,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_kad_post_transparent":"","_kad_post_title":"","_kad_post_layout":"","_kad_post_sidebar_id":"","_kad_post_content_style":"","_kad_post_vertical_padding":"","_kad_post_feature":"","_kad_post_feature_position":"","_kad_post_header":false,"_kad_post_footer":false,"_kad_post_classname":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-206","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/www.tgwttt.xyz\/index.php?rest_route=\/wp\/v2\/posts\/206","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.tgwttt.xyz\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.tgwttt.xyz\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.tgwttt.xyz\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.tgwttt.xyz\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=206"}],"version-history":[{"count":4,"href":"https:\/\/www.tgwttt.xyz\/index.php?rest_route=\/wp\/v2\/posts\/206\/revisions"}],"predecessor-version":[{"id":864,"href":"https:\/\/www.tgwttt.xyz\/index.php?rest_route=\/wp\/v2\/posts\/206\/revisions\/864"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.tgwttt.xyz\/index.php?rest_route=\/wp\/v2\/media\/208"}],"wp:attachment":[{"href":"https:\/\/www.tgwttt.xyz\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=206"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.tgwttt.xyz\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=206"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.tgwttt.xyz\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=206"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}