{"id":148,"date":"2025-01-12T12:49:53","date_gmt":"2025-01-12T04:49:53","guid":{"rendered":"http:\/\/150.230.63.147\/blog\/?p=148"},"modified":"2025-01-12T12:49:53","modified_gmt":"2025-01-12T04:49:53","slug":"a-arena-of-greed-%e8%a7%a3%e6%9e%90%e6%80%9d%e7%b6%ad","status":"publish","type":"post","link":"https:\/\/blog.seekrealthing.net\/blog\/?p=148","title":{"rendered":"A. Arena of Greed \u89e3\u6790(\u601d\u7dad)"},"content":{"rendered":"\n

Codeforce 1425 A. Arena of Greed \u89e3\u6790(\u601d\u7dad)<\/h1>\n

\u4eca\u5929\u6211\u5011\u4f86\u770b\u770bCF1425A
\n\u984c\u76ee\u9023\u7d50<\/a><\/p>\n

\n

\u984c\u76ee<\/strong>
\n\u7565\uff0c\u8acb\u76f4\u63a5\u770b\u539f\u984c\u3002<\/p>\n<\/blockquote>\n

\u524d\u8a00<\/h3>\n

\u660e\u660e\u662f\u96e3\u5ea61400\u7684\u984c\u76ee\uff0c\u4f46\u7e3d\u611f\u89ba\u4e0d\u662f\u5f88\u597d\u5beb\u963f\uff0c\u800c\u4e14\u4ee5\u4e0b\u984c\u89e3\u6211\u611f\u89ba\u6709\u4e9b\u5730\u65b9\u6211\u4e5f\u61f5\u61f5\u61c2\u61c2\u7684\uff0c\u4e0d\u662f\u8d85\u7d1a\u78ba\u5b9a<\/p>\n

\u60f3\u6cd5<\/h3>\n

\u9996\u5148\uff0c\u9019\u984c\u76ee\u6709\u4e00\u500b\u9664\u4ee5$2$\u7684\u52d5\u4f5c\uff0c\u56e0\u6b64\u6709\u53ef\u80fd\u806f\u60f3\u5230$:$\u6211\u5011\u5fc5\u9808\u7528\u4e8c\u9032\u4f4d\u4f86\u770b\u5f85\u6578\u5b57$n$\u3002
\n\u6709\u4e00\u500b\u4e0d\u7b49\u5f0f\u975e\u5e38\u91cd\u8981\uff0c\u5728\u9019\u908a\u91cd\u63d0:$\\sum\\limits_{n=0}^k2^n<2^{k+1}$\uff0c\u4e5f\u5c31\u662f\u66f4\u9ad8\u4f4d\u7684$bit$\u4e00\u5b9a\u6bd4\u4f4e\u4f4d\u7684\u6240\u6709$bit$\u7e3d\u548c\u9084\u8981\u5927\u3002
\n\u4e26\u4e14\u6211\u5011\u6ce8\u610f\u5230\uff0c\u5982\u679c\u628a\u4e00\u500b\u5076\u6578$-1$\uff0c\u76ee\u524d\u6700\u4f4e\u4f4d\u7684$bit$\u6703\u88ab\u62c6\u6210\u66f4\u4f4e\u4f4d\u7684\u6240\u6709$bit$\u7684\u7e3d\u548c\uff0c\u4e5f\u5c31\u662f\u4f8b\u5982:$100000_2-1_2=11111_2$\uff0c\u4e0b\u6a19$_2$\u662f\u6307\u4e8c\u9032\u4f4d\u3002
\n\u800c\u6211\u5011\u53ef\u4ee5\u89c0\u5bdf\u5230\uff0c\u5982\u679c\u6709\u500b\u5076\u6578\uff0c\u4e14\u5076\u6578\u7684\u7b2c$0$\uff0c\u7b2c$1$\u500b$bit$\u90fd\u662f$0$\uff0c\u4e5f\u5c31\u662f\u4f8b\u5982$1100_2$\u9019\u500b\u6578\u5b57\u3002\u53ea\u8981\u6211\u5011\u5148\u6e1b$1$\uff0c\u9019\u6a23\u6703\u8b8a\u6210$1011_2$\uff0c\u56e0\u6b64\u5c0d\u624b\u53ea\u80fd\u62ff$1$\uff0c\u4f7f\u5f97\u8b8a\u6210$1010_2$\u3002\u800c$1010_2$\u4e26\u4e0d\u7b26\u5408\u300c\u7b2c$0$\uff0c\u7b2c$1$\u500b$bit$\u90fd\u662f$0$\u300d\uff0c\u56e0\u6b64\u6211\u5011\u76f4\u63a5\u62ff\u4e00\u534a\u2026\u3002
\n\u53ea\u8981\u6211\u5011\u9075\u5faa\u300c\u662f\u5076\u6578\u4e14\u7b2c$0$\uff0c\u7b2c$1$\u500b$bit$\u90fd\u662f$0$\u300d\u6642\u5148\u62ff$1$\uff0c\u90a3\u9ebc\u4e4b\u5f8c\u5c0d\u624b\u90fd\u53ea\u80fd\u62ff\u5230$1$\u800c\u4e0d\u80fd\u62ff$\\frac{n}{2}$\uff0c\u6211\u5011\u6709\u6975\u5927\u7684\u512a\u52e2\u3002<\/p>\n

\u6700\u5f8c\u5982\u679c\u80fd\u518d\u6ce8\u610f\u5230$:$\u53ea\u6709\u7576\u6211\u5011\u81f3\u5c11\u6709\u4e00\u500b\u5927\u65bc$100_2$\u7684$bit$\u6642\uff0c\u6211\u5011\u624d\u6703\u5728\u300c\u662f\u5076\u6578\u4e14\u7b2c$0$\uff0c\u7b2c$1$\u500b$bit$\u90fd\u662f$0$\u300d\u6642\u5148\u62ff$1$\uff0c\u56e0\u70ba\u5728$100_2$\u6642\uff0c\u6211\u5011\u5c31\u7b97\u5148\u62ff\u4e00\u534a\uff0c\u53ea\u8981\u5c0d\u624b\u63a5\u4e0b\u4f86\u4e5f\u6700\u591a\u62ff\u5230$1$\u3002<\/p>\n

\u7a0b\u5f0f\u78bc:<\/h3>\n
ll t,n,nn,ans;  \nmain(void) {ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);  \n  cin>>t;while(t--){  \n    cin>>n;nn=n;ans=0;  \n    if(n&1)n--;  \n    while(n>0){  \n      if(n<8){  \n        if(n&1)ans++,n--;  \n        else ans+=n\/2,n\/=2;  \n        if(n==0)continue;  \n        if(n&1)n--;  \n        else n\/=2;  \n        continue;  \n      }  \n      assert(n%2==0);  \n      if(n%4==0)ans++,n-=2;  \n      else ans+=n\/2,n\/=2,n--;  \n    }  \n    if(nn&1)cout<<nn-ans<<'\\n';  \n    else cout<<ans<<'\\n';  \n  }  \n  return 0;  \n}  \n<\/code><\/pre>\n
\u6a19\u982d\u3001\u6a21\u677f\u8acb\u9edeSubmission\u770b
\nSubmission<\/a><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_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","enabled":false},"version":2}},"categories":[3],"tags":[10,9,8],"class_list":["post-148","post","type-post","status-publish","format-standard","hentry","category-ojcode","tag-codeforce","tag-ojcode","tag-8"],"jetpack_publicize_connections":[],"yoast_head":"\nA. 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