{"id":80,"date":"2022-12-14T13:20:47","date_gmt":"2022-12-14T05:20:47","guid":{"rendered":"https:\/\/www.vcoco.top\/?p=80"},"modified":"2022-12-28T21:22:23","modified_gmt":"2022-12-28T13:22:23","slug":"google-kickstart-%e8%83%bd%e9%87%8f%e7%9f%b3","status":"publish","type":"post","link":"https:\/\/www.vcoco.top\/index.php\/2022\/12\/14\/google-kickstart-%e8%83%bd%e9%87%8f%e7%9f%b3\/","title":{"rendered":"Google Kickstart \u80fd\u91cf\u77f3"},"content":{"rendered":"\n

\u9898\u76ee\u63cf\u8ff0<\/strong>
\u5ca9\u77f3\u602a\u7269\u675c\u8fbe\u751f\u6d3b\u5728\u9b54\u6cd5\u68ee\u6797\u4e2d\uff0c\u4ed6\u5728\u5348\u9910\u65f6\u6536\u96c6\u4e86 $N$ \u5757\u80fd\u91cf\u77f3\u51c6\u5907\u5f00\u5403\u3002<\/p>\n\n\n\n

\u7531\u4e8e\u4ed6\u7684\u5634\u5f88\u5c0f\uff0c\u6240\u4ee5\u4e00\u6b21\u53ea\u80fd\u5403\u4e00\u5757\u80fd\u91cf\u77f3\u3002<\/p>\n\n\n\n

\u80fd\u91cf\u77f3\u5f88\u786c\uff0c\u5403\u5b8c\u9700\u8981\u82b1\u4e0d\u5c11\u65f6\u95f4\u3002<\/p>\n\n\n\n

\u5403\u5b8c\u7b2c $i$ \u5757\u80fd\u91cf\u77f3\u9700\u8981\u82b1\u8d39\u7684\u65f6\u95f4\u4e3a $S_i$ \u79d2\u3002<\/p>\n\n\n\n

\u675c\u8fbe\u9760\u5403\u80fd\u91cf\u77f3\u6765\u83b7\u53d6\u80fd\u91cf\u3002<\/p>\n\n\n\n

\u4e0d\u540c\u7684\u80fd\u91cf\u77f3\u5305\u542b\u7684\u80fd\u91cf\u53ef\u80fd\u4e0d\u540c\u3002<\/p>\n\n\n\n

\u6b64\u5916\uff0c\u80fd\u91cf\u77f3\u4f1a\u968f\u7740\u65f6\u95f4\u6d41\u901d\u9010\u6e10\u5931\u53bb\u80fd\u91cf\u3002<\/p>\n\n\n\n

\u7b2c $i$ \u5757\u80fd\u91cf\u77f3\u6700\u521d\u5305\u542b $E_i$ \u5355\u4f4d\u7684\u80fd\u91cf\uff0c\u5e76\u4e14\u6bcf\u79d2\u5c06\u5931\u53bb $L_i$ \u5355\u4f4d\u7684\u80fd\u91cf\u3002<\/p>\n\n\n\n

\u5f53\u675c\u8fbe\u5f00\u59cb\u5403\u4e00\u5757\u80fd\u91cf\u77f3\u65f6\uff0c\u4ed6\u5c31\u4f1a\u7acb\u5373\u83b7\u5f97\u8be5\u80fd\u91cf\u77f3\u6240\u542b\u7684\u5168\u90e8\u80fd\u91cf\uff08\u65e0\u8bba\u5b9e\u9645\u5403\u5b8c\u8be5\u77f3\u5934\u9700\u8981\u591a\u5c11\u65f6\u95f4\uff09\u3002<\/p>\n\n\n\n

\u80fd\u91cf\u77f3\u4e2d\u5305\u542b\u7684\u80fd\u91cf\u6700\u591a\u964d\u4f4e\u81f3 $0$\u3002<\/p>\n\n\n\n

\u8bf7\u95ee\u675c\u8fbe\u901a\u8fc7\u5403\u80fd\u91cf\u77f3\u53ef\u4ee5\u83b7\u5f97\u7684\u6700\u5927\u80fd\u91cf\u662f\u591a\u5c11\uff1f<\/p>\n\n\n\n

\u8f93\u5165\u683c\u5f0f<\/strong>
\u7b2c\u4e00\u884c\u5305\u542b\u6574\u6570 $T$\uff0c\u8868\u793a\u5171\u6709 $T$ \u7ec4\u6d4b\u8bd5\u6570\u636e\u3002<\/p>\n\n\n\n

\u6bcf\u7ec4\u6570\u636e\u7b2c\u4e00\u884c\u5305\u542b\u6574\u6570 $N$\uff0c\u8868\u793a\u80fd\u91cf\u77f3\u7684\u6570\u91cf\u3002<\/p>\n\n\n\n

\u63a5\u4e0b\u6765 $N$ \u884c\uff0c\u6bcf\u884c\u5305\u542b\u4e09\u4e2a\u6574\u6570 $S_i$,$E_i$,$L_i$\u3002<\/p>\n\n\n\n

\u8f93\u51fa\u683c\u5f0f<\/strong>
\u6bcf\u7ec4\u6570\u636e\u8f93\u51fa\u4e00\u4e2a\u7ed3\u679c\uff0c\u6bcf\u4e2a\u7ed3\u679c\u5360\u4e00\u884c\u3002<\/p>\n\n\n\n

\u7ed3\u679c\u8868\u793a\u4e3a Case #x: y<\/code>\uff0c\u5176\u4e2d $x$ \u662f\u7ec4\u522b\u7f16\u53f7\uff08\u4ece $1$ \u5f00\u59cb\uff09\uff0c$y$ \u662f\u53ef\u4ee5\u83b7\u5f97\u7684\u6700\u5927\u80fd\u91cf\u503c\u3002<\/p>\n\n\n\n

\u6570\u636e\u8303\u56f4<\/strong>
$1\u2264T\u226410$,
$1\u2264N\u2264100$,
$1\u2264Si\u2264100$,
$1\u2264Ei\u2264105$,
$0\u2264Li\u2264105$<\/p>\n\n\n\n

\u8f93\u5165\u6837\u4f8b\uff1a<\/strong><\/p>\n\n\n\n

3\n4\n20 10 1\n5 30 5\n100 30 1\n5 80 60\n3\n10 4 1000\n10 3 1000\n10 8 1000\n2\n12 300 50\n5 200 0<\/code><\/pre>\n\n\n\n
\u8f93\u51fa\u6837\u4f8b\uff1a<\/strong><\/p>\n\n\n\n
Case #1: 105\nCase #2: 8\nCase #3: 500<\/code><\/pre>\n\n\n\n
\u6211\u4eec\u76f4\u63a5\u5f00\u95e8\u89c1\u5c71<\/h4>\n\n\n\n
\u8fd9\u91cc\u6211\u5148\u5217\u4e3e\u4e24\u4e2a\u7406\u89e3\u70b9\uff1a<\/strong><\/p>\n\n\n\n
    \n
  1. \u4e0d\u80fd\u76f4\u63a5\u679a\u4e3e\u5403\u4e0d\u5403\u6bcf\u4e2a\u77f3\u5934\uff0c\u56e0\u4e3a\u6700\u7ec8\u7684\u6536\u76ca\u8fd8\u4e0e\u5403\u7684\u65f6\u673a\u6709\u5173\uff0c\u4e0d\u4ec5\u4ec5\u4e0e\u5403\u4e0d\u5403\u6709\u5173\uff0c\u5047\u5982\u4e00\u4e2a\u80fd\u91cf\u77f3\u5403\u8981\u5f88\u4e45\uff0c\u4f46\u662f\u8870\u51cf\u7684\u5f88\u6162\uff0c\u53e6\u4e00\u4e2a\u80fd\u91cf\u77f3\u5403\u5f88\u5feb\uff0c\u8870\u51cf\u7684\u5f88\u5feb\uff0c\u5982\u679c\u5148\u8003\u8651\u7b2c\u4e00\u4e2a\u80fd\u91cf\u77f3\uff0c\u5373\u4fbf\u5403\u4e86\u7b2c\u4e8c\u4e2a\u80fd\u91cf\u77f3\u4e5f\u53d8\u4e3a0\u4e86\uff0c\u800c\u5982\u679c\u4e0d\u5403\uff0c\u53c8\u5c11\u4e86\u7b2c\u4e00\u4e2a\u80fd\u91cf\u77f3\u7684\u80fd\u91cf\uff0c\u6240\u4ee5\u5982\u679c\u5148\u54032\u518d\u54031\u5c31\u4e24\u8005\u7686\u53ef\u5f97<\/li>\n\n\n\n
  2. \u72b6\u6001\u8f6c\u79fb\u65b9\u7a0b\u4e2d\uff0c$e-(j-s)l<0$ \u7684\u7406\u89e3\uff1a\u4ee4 $t=e-(j-s)l<0$\uff0c\u5982\u679c $dp[j-s]+t>dp[j]$\uff0c\u53ef\u4ee5\u88ab\u80fd\u91cf\u503c\u4e3a0\u6216\u8d1f\u6570\u7684\u80fd\u91cf\u77f3\u66f4\u65b0\u3002\u90a3\u4e48\u5fc5\u7136\u6709 $dp[j-s]>=dp[j]$\uff0c\u8fd9\u5c31\u5b58\u5728\u4e00\u79cd\u60c5\u51b5\u662f\u65f6\u95f4\u957f\u7684\u5403\u5f97\u6240\u83b7\u5f97\u5f97\u80fd\u91cf\u8fd8\u5c11\uff0c\u90a3\u4e48\u6700\u7ec8\u7684\u6700\u4f18\u89e3\u5fc5\u7136\u4e0d\u4f1a\u4ece\u8fd9\u4e00\u8f6e\u7684 $dp[j]$ \u66f4\u65b0\u8fc7\u6765\uff0c\u56e0\u4e3a\u8fd9\u4e00\u8f6e\u7684 $dp[j-s]$ \u7b49\u4e8e\u4e0a\u4e00\u8f6e\u7684 $dp[j-s]$ \uff0c\u5176\u503c\u66f4\u5927\uff0c\u65f6\u95f4\u66f4\u77ed\u3002(\u6ce8\u610f\u4e00\u7ef4\u65b9\u5f0f\u662f\u4ece\u5927\u5230\u5c0f\u679a\u4e3e\u65f6\u95f4 $j$ )<\/li>\n<\/ol>\n\n\n\n
    \u5982\u4f55\u6392\u5e8f\uff1a<\/h3>\n\n\n\n
    \u5047\u8bbe\u8003\u8651\u7b2c $i$ \u548c\u7b2c $i+1$ \u4e2a\u80fd\u91cf\u77f3<\/p>\n\n\n\n
    \u5148\u5403 $i$ \u7684\u53ef\u83b7\u5f97\u7684\u80fd\u91cf\uff1a$$E_i+E_{i+1}-S_i*L_{i+1}$$.<\/p>\n\n\n\n
    \u5148\u5403 $i+1$ \u53ef\u83b7\u5f97\u7684\u80fd\u91cf\uff1a$$E_i+E_{i+1}-S_{i+1}*L_i$$.<\/p>\n\n\n\n
    \u90a3\u4e48\u5982\u679c $S_i*L_{i+1}<S_{i+1}L_i$ \u5373\u53ef\u83b7\u5f97\u7684\u80fd\u91cf\u8f83\u5927\uff0c\u5982\u679c\u4e0d\u662f\uff0c\u5219\u5148\u5403 $i+1$\uff0c<\/p>\n\n\n\n
    \u90a3\u4e48\u6211\u4eec\u5c31\u53ef\u4ee5\u6839\u636e\u8fd9\u4e2a\u6392\u5e8f\u4e86\uff01<\/p>\n\n\n\n
    \u63a5\u4e0b\u6765\u5c31\u662f01\u80cc\u5305\u4e86<\/p>\n\n\n\n
    C++\u4ee3\u7801<\/h4>\n\n\n\n
    #include <iostream>\n#include <algorithm>\n#include <cstring>\n\nusing namespace std;\n\nconst int N=110,M=100010;\n\nstruct Stone\n{\n    int e,s,l;\n    bool operator < (const Stone &oo) const\n    {\n        return s*oo.l<oo.s*l;\n    }\n}stone[N];\n\nint n,dp[M];\n\nint main()\n{\n    int T; cin>>T;\n    for(int k=1;k<=T;k++)\n    {\n        cin>>n;\n        int m=0;\n        for(int i=0;i<n;i++) \n        {\n            cin>>stone[i].s>>stone[i].e>>stone[i].l;\n            m+=stone[i].s;\n        }\n\n        sort(stone,stone+n);\n\n        memset(dp,-0x3f,sizeof dp);\n        dp[0]=0;\n        for(int i=0;i<n;i++)\n        {\n            int s=stone[i].s,l=stone[i].l,e=stone[i].e;\n            for(int j=m;j>=s;j--)\n                if(e-(j-s)*l>0) \/\/\u8fd9\u4e00\u6b65\u53ef\u4ee5\u6ca1\u6709\uff0c\u4f46\u662f\u4eb2\u6d4b\u52a0\u4e0a\u5feb\u4e86100ms\n                    dp[j]=max(dp[j],dp[j-s]+e-(j-s)*l);\n        }\n\n        int res=0;\n        for(int i=0;i<=m;i++) res=max(res,dp[i]);\n\n        printf(\"Case #%d: %d\\n\",k,res);\n    }\n    return 0;\n}<\/code><\/pre>\n","protected":false},"excerpt":{"rendered":"
    \u9898\u76ee\u63cf\u8ff0\u5ca9\u77f3\u602a\u7269\u675c\u8fbe\u751f\u6d3b\u5728\u9b54\u6cd5\u68ee\u6797\u4e2d\uff0c\u4ed6\u5728\u5348\u9910\u65f6\u6536\u96c6\u4e86 $N$ \u5757\u80fd\u91cf\u77f3\u51c6\u5907\u5f00\u5403\u3002 \u7531\u4e8e\u4ed6\u7684\u5634\u5f88\u5c0f\uff0c\u6240\u4ee5\u4e00\u6b21\u53ea […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[13],"tags":[56,45,58,57],"class_list":["post-80","post","type-post","status-publish","format-standard","hentry","category-mess","tag-google-kickstart2019","tag-45","tag-58","tag-57"],"_links":{"self":[{"href":"https:\/\/www.vcoco.top\/index.php\/wp-json\/wp\/v2\/posts\/80","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vcoco.top\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vcoco.top\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vcoco.top\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vcoco.top\/index.php\/wp-json\/wp\/v2\/comments?post=80"}],"version-history":[{"count":5,"href":"https:\/\/www.vcoco.top\/index.php\/wp-json\/wp\/v2\/posts\/80\/revisions"}],"predecessor-version":[{"id":183,"href":"https:\/\/www.vcoco.top\/index.php\/wp-json\/wp\/v2\/posts\/80\/revisions\/183"}],"wp:attachment":[{"href":"https:\/\/www.vcoco.top\/index.php\/wp-json\/wp\/v2\/media?parent=80"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vcoco.top\/index.php\/wp-json\/wp\/v2\/categories?post=80"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vcoco.top\/index.php\/wp-json\/wp\/v2\/tags?post=80"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}