{"id":1433,"date":"2026-05-11T16:21:40","date_gmt":"2026-05-11T08:21:40","guid":{"rendered":"http:\/\/wordpress.fangt.online\/?p=1433"},"modified":"2026-05-11T16:21:40","modified_gmt":"2026-05-11T08:21:40","slug":"%e8%ae%a1%e6%95%b0%e6%8e%92%e5%ba%8f%ef%bc%88counting-sort%ef%bc%89","status":"publish","type":"post","link":"http:\/\/wordpress.fangt.online\/index.php\/2026\/05\/11\/%e8%ae%a1%e6%95%b0%e6%8e%92%e5%ba%8f%ef%bc%88counting-sort%ef%bc%89\/","title":{"rendered":"\u8ba1\u6570\u6392\u5e8f\uff08Counting Sort\uff09"},"content":{"rendered":"\n

\u8ba1\u6570\u6392\u5e8f\u662f\u4e00\u79cd\u975e\u6bd4\u8f83\u578b<\/strong>\u7684\u6392\u5e8f\u7b97\u6cd5\u3002\u5b83\u4e0d\u901a\u8fc7\u5143\u7d20\u4e4b\u95f4\u7684\u6bd4\u8f83\u6765\u786e\u5b9a\u987a\u5e8f\uff0c\u800c\u662f\u5229\u7528\u6570\u7ec4\u7684\u7d22\u5f15\u6765\u786e\u5b9a\u5143\u7d20\u7684\u6b63\u786e\u4f4d\u7f6e\uff0c\u901a\u8fc7\u7edf\u8ba1\u6bcf\u4e2a\u503c\u51fa\u73b0\u7684\u6b21\u6570\u6765\u5b9e\u73b0\u6392\u5e8f<\/strong>\u3002<\/p>\n\n\n\n

\u7b97\u6cd5\u539f\u7406<\/h3>\n\n\n\n
    \n
  1. \u627e\u51fa\u8303\u56f4<\/strong>\uff1a\u627e\u5230\u5f85\u6392\u5e8f\u6570\u7ec4\u4e2d\u7684\u6700\u5927\u503c\u548c\u6700\u5c0f\u503c\uff0c\u786e\u5b9a\u6570\u636e\u8303\u56f4<\/li>\n\n\n\n
  2. \u7edf\u8ba1\u9891\u7387<\/strong>\uff1a\u521b\u5efa\u4e00\u4e2a\u8ba1\u6570\u6570\u7ec4\uff0c\u7edf\u8ba1\u6bcf\u4e2a\u503c\u51fa\u73b0\u7684\u6b21\u6570<\/li>\n\n\n\n
  3. \u8ba1\u7b97\u4f4d\u7f6e<\/strong>\uff1a\u5bf9\u8ba1\u6570\u6570\u7ec4\u8fdb\u884c\u524d\u7f00\u548c<\/del>\u8ba1\u7b97\uff0c\u5f97\u5230\u6bcf\u4e2a\u503c\u5728\u6392\u5e8f\u540e\u7684\u6700\u7ec8\u4f4d\u7f6e<\/li>\n\n\n\n
  4. \u6784\u5efa\u8f93\u51fa<\/strong>\uff1a\u6839\u636e\u8ba1\u6570\u6570\u7ec4\u5c06\u5143\u7d20\u653e\u5230\u6b63\u786e\u7684\u4f4d\u7f6e<\/li>\n<\/ol>\n\n\n\n

    C++\u5b9e\u73b0\u4f8b\u9898<\/h3>\n\n\n\n

    \u57fa\u7840\u7248\u672c<\/h4>\n\n\n\n
    \u00a0#include <bits\/stdc++.h>\n\u00a0using namespace std;\n\u00a0int main(){\n\u00a0 \u00a0 \u00a0int n,x;\n\u00a0 \u00a0 \u00a0cin>>n;\n\u00a0 \u00a0 \u00a0int cnt[10005]={}; \/\/ \u7edf\u8ba1\u6570\u7ec4\u7684\u5927\u5c0f\u7531\u6570\u636e\u8303\u56f4\u800c\u5b9a\n\u00a0 \u00a0 \u00a0for(int i=1;i<=n;i++){\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0cin>>x;\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0cnt[x]++; \/\/ \u7edf\u8ba1\u6b21\u6570\n\u00a0 \u00a0  }\n\u00a0 \u00a0 \u00a0\/\/ \u904d\u5386\u7edf\u8ba1\u6570\u7ec4\u65f6\u4e0en\u65e0\u5173\n\u00a0 \u00a0 \u00a0for(int i=0;i<10005;i++){\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0if(cnt[i]!=0) cout<<i<<\" \"; \/\/ \u6392\u5e8f\u5e76\u53bb\u91cd\n\u00a0 \u00a0  }\n\u00a0 \u00a0 \u00a0\/\/ \u904d\u5386\u7edf\u8ba1\u6570\u7ec4\u65f6\u4e0en\u65e0\u5173\n\u00a0 \u00a0 \u00a0for(int i=0;i<10005;i++){\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0int j=cnt[i];\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0while(j--) cout<<i<<\" \"; \/\/ \u6392\u5e8f\u4e0d\u53bb\u91cd\n\u00a0 \u00a0  }\n\u00a0 \u00a0 \u00a0return 0;\n\u00a0}<\/code><\/pre>\n\n\n\n
    \u7279\u70b9\u603b\u7ed3<\/h3>\n\n\n\n
    \u4f18\u70b9\uff1a<\/strong><\/p>\n\n\n\n
      \n
    • \u65f6\u95f4\u590d\u6742\u5ea6\u4f4e\uff0c\u5f53 k = O(n) \u65f6\u53ef\u4ee5\u8fbe\u5230\u7ebf\u6027\u65f6\u95f4<\/li>\n\n\n\n
    • \u7a33\u5b9a\u6392\u5e8f<\/li>\n\n\n\n
    • \u4e0d\u9700\u8981\u6bd4\u8f83\u5143\u7d20<\/li>\n<\/ul>\n\n\n\n
      \u7f3a\u70b9\uff1a<\/strong><\/p>\n\n\n\n
        \n
      • \u9700\u8981\u989d\u5916\u7684\u7a7a\u95f4\uff0c\u7a7a\u95f4\u590d\u6742\u5ea6 O(k)<\/li>\n\n\n\n
      • \u5f53\u6570\u636e\u8303\u56f4 k \u5f88\u5927\u65f6\uff08\u5982 [1, 1000000] \u53ea\u6709\u51e0\u4e2a\u6570\uff09\uff0c\u6548\u7387\u4f4e\u4e0b<\/li>\n\n\n\n
      • \u53ea\u80fd\u6392\u5e8f\u6574\u6570\uff0c\u5bf9\u4e8e\u6d6e\u70b9\u6570\u6216\u5b57\u7b26\u4e32\u9700\u8981\u7279\u6b8a\u5904\u7406<\/li>\n<\/ul>\n\n\n\n
        \u9002\u7528\u573a\u666f\uff1a<\/strong><\/p>\n\n\n\n
          \n
        • \u6570\u636e\u8303\u56f4\u8f83\u5c0f\u4e14\u96c6\u4e2d\uff08k \u4e0e n \u540c\u91cf\u7ea7\u6216\u66f4\u5c0f\uff09<\/li>\n\n\n\n
        • \u9700\u8981\u7ebf\u6027\u65f6\u95f4\u590d\u6742\u5ea6\u7684\u7a33\u5b9a\u6392\u5e8f<\/li>\n\n\n\n
        • \u6570\u636e\u4e3a\u6574\u6570\u7c7b\u578b<\/li>\n<\/ul>\n\n\n\n
          \u4f18\u5316\u6280\u5de7<\/h3>\n\n\n\n
            \n
          1. \u4f7f\u7528\u6700\u5c0f\u503c\u504f\u79fb<\/strong>\uff1a\u907f\u514d\u6d6a\u8d39\u7a7a\u95f4<\/li>\n\n\n\n
          2. \u9009\u62e9\u5408\u9002\u7684\u6392\u5e8f\u573a\u666f<\/strong>\uff1a\u5f53 k > n log n \u65f6\uff0c\u8003\u8651\u4f7f\u7528\u6bd4\u8f83\u6392\u5e8f<\/li>\n\n\n\n
          3. \u4e0e\u5176\u4ed6\u6392\u5e8f\u7ed3\u5408<\/strong>\uff1a\u8ba1\u6570\u6392\u5e8f\u53ef\u4f5c\u4e3a\u57fa\u6570\u6392\u5e8f\u7684\u57fa\u7840<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"
            \u8ba1\u6570\u6392\u5e8f\u662f\u4e00\u79cd\u975e\u6bd4\u8f83\u578b\u7684\u6392\u5e8f\u7b97\u6cd5\u3002\u5b83\u4e0d\u901a\u8fc7\u5143\u7d20\u4e4b\u95f4\u7684\u6bd4\u8f83\u6765\u786e\u5b9a\u987a\u5e8f\uff0c\u800c\u662f\u5229\u7528\u6570\u7ec4\u7684\u7d22\u5f15\u6765\u786e\u5b9a\u5143\u7d20\u7684\u6b63\u786e\u4f4d\u7f6e\uff0c\u901a […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[61],"tags":[],"class_list":["post-1433","post","type-post","status-publish","format-standard","hentry","category-zl"],"_links":{"self":[{"href":"http:\/\/wordpress.fangt.online\/index.php\/wp-json\/wp\/v2\/posts\/1433","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/wordpress.fangt.online\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/wordpress.fangt.online\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/wordpress.fangt.online\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/wordpress.fangt.online\/index.php\/wp-json\/wp\/v2\/comments?post=1433"}],"version-history":[{"count":1,"href":"http:\/\/wordpress.fangt.online\/index.php\/wp-json\/wp\/v2\/posts\/1433\/revisions"}],"predecessor-version":[{"id":1434,"href":"http:\/\/wordpress.fangt.online\/index.php\/wp-json\/wp\/v2\/posts\/1433\/revisions\/1434"}],"wp:attachment":[{"href":"http:\/\/wordpress.fangt.online\/index.php\/wp-json\/wp\/v2\/media?parent=1433"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/wordpress.fangt.online\/index.php\/wp-json\/wp\/v2\/categories?post=1433"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/wordpress.fangt.online\/index.php\/wp-json\/wp\/v2\/tags?post=1433"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}