{"id":301,"date":"2012-12-28T17:36:00","date_gmt":"2012-12-28T09:36:00","guid":{"rendered":"http:\/\/nike0good.jp1.rpvhost.net\/206"},"modified":"2012-12-28T17:36:00","modified_gmt":"2012-12-28T09:36:00","slug":"cf_254e_backward_from_the_current_recursive","status":"publish","type":"post","link":"https:\/\/nike0good.com\/?p=301","title":{"rendered":"CF 254E(\u4ece\u5f53\u524d\u5411\u540e\u9012\u63a8)"},"content":{"rendered":"
\n
\n
\n
\n
\n
E. \u5bbf\u820d\u5206\u4eab<\/div>\n
\n
\ntime limit per test<\/div>\n

1 second<\/p><\/div>\n

\n
\nmemory limit per test<\/div>\n

256 megabytes<\/p><\/div>\n

\n
\ninput<\/div>\n

input.txt<\/p><\/div>\n

\n
\noutput<\/div>\n

output.txt<\/p><\/div>\n<\/div>\n

\n

\n\u4e00\u4e2a\u5b66\u671f\u6709 n<\/em><\/span> \u5929.\u7b2ci<\/em><\/span>\u5929\u65e9\u4e0aVasya\u4f1a\u5e26 a<\/em>i<\/em><\/sub><\/span> kg\u98df\u7269\u6765\u5b66\u6821\uff08\u98df\u7269\u6700\u591a\u653e2\u5929\uff0c\u4eca\u5929\u548c\u660e\u5929\uff09.<\/p>\n

\nVasya \u6bcf\u5929\u5403 v<\/em><\/span> kg \u98df\u7269.\u4ed6\u5e26\u6765\u7684\u98df\u7269\u539f\u6765\u591f\u5403\uff0c\u4f46\u662fVasya \u7684 m<\/em><\/span> \u4e2a\u5ba4\u53cb\u4f1a\u5403\u4ed6\u7684\uff0c\u7f16\u53f7
\n 1 \u5230 m<\/em><\/span>. \u7b2c  j<\/em><\/span> \u4e2a\u5ba4\u53cb\u4f1a\u5728 l<\/em>j<\/em><\/sub><\/span>\u5230 r<\/em>j
\n<\/em><\/sub><\/span>\u5929\u548c\u4ed6\u4e00\u8d77\u4f4f\u4e14\u6bcf\u5929\u5403 f<\/em>j<\/em><\/sub><\/span> kg\u98df\u7269.
\n Vasya \u6bcf\u5929\u53ef\u4ee5\u7ed9\u540c\u4f4f\u7684\u4eba  <\/span>j<\/em><\/span> <\/span>\u5206 <\/span>f<\/em>j<\/em><\/sub><\/span> kg<\/span>\u98df\u7269\uff08\u53ef\u4ee5\u9009\u4e00\u4e9b\u4eba\u5206).Vasya\u6bcf\u4e00\u6b21\u5206\u98df\u7269\u90fd\u8981\u8ba9\u4eba\u5403\u9971\uff08\u8981\u4e0d\u7136\u4e0d\u539a\u9053).<\/p>\n

\nVasya \u600e\u6837\u5206\u51fa\u6700\u591a\u6b21\u98df\u7269\uff1f<\/p>\n<\/div>\n

\n
\nInput<\/div>\n

\n\u7b2c\u4e00\u884c2\u4e2a\u6574\u6570 n<\/em><\/span> \u548c v<\/em><\/span> (1\u2009\u2264\u2009n<\/em>,\u2009v<\/em>\u2009\u2264\u2009400<\/span>).
\n \u7b2c2\u884c n<\/em><\/span> \u4e2a\u6574\u6570 a<\/em>1<\/sub>,\u2009a<\/em>2<\/sub>,\u2009...,\u2009a<\/em>n<\/em><\/sub><\/span> (1\u2009\u2264\u2009a<\/em>i<\/em><\/sub>\u2009\u2264\u2009400<\/span>), <\/p>\n

\n\u7b2c\u4e09\u884c\u4e00\u4e2a\u6574\u6570 m<\/em><\/span> (1\u2009\u2264\u2009m<\/em>\u2009\u2264\u2009400<\/span>). \u63a5\u4e0b\u6765 m<\/em><\/span> \u884c\u6bcf\u884c3\u4e2a\u6574\u6570.\u7b2c
\n  j<\/em><\/span> \u884c\u4e3a l<\/em>j<\/em><\/sub>,\u2009r<\/em>j<\/em><\/sub>,\u2009f<\/em>j<\/em><\/sub><\/span> (1\u2009\u2264\u2009l<\/em>j<\/em><\/sub>\u2009\u2264\u2009r<\/em>j<\/em><\/sub>\u2009\u2264\u2009n<\/em>,\u20091\u2009\u2264\u2009f<\/em>j<\/em><\/sub>\u2009\u2264\u2009400<\/span>).<\/p>\n<\/div>\n

\n
\nOutput<\/div>\n

\n\u7b2c\u4e00\u884c\u8f93\u51fa\u6700\u591a\u5206\u51fa\u98df\u7269\u6b21\u6570. \u63a5\u4e0b\u6765 n<\/em><\/span> \u884c\u7b2c\u4e00\u884c\u8f93\u51fa\u7b2c i <\/em><\/span>\u5929\u5206\u51e0\u6b21.\u63a5\u4e0b\u6765\u8f93\u51fa\u5f53\u5929\u5206\u7684\u670b\u53cb\u7684\u7f16\u53f7(\u4efb\u610f\u987a\u5e8f).\u82e5\u6709\u591a\u89e3\u4efb\u610f\u8f93\u51fa\u4e00\u79cd.<\/p>\n<\/div>\n

\n
\nSample test(s)<\/div>\n
\n
\n
\ninput<\/div>\n
4 1\n3 2 5 4\n3\n1 3 2\n1 4 1\n3 4 2\n<\/pre>\n<\/div>\n
\n
\noutput<\/div>\n
7\n1 2\n1 2\n3 2 1 3\n2 2 3<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
Dp\u9898\uff0c\u4e3b\u8981\u63a8\u65b9\u7a0b\u3002<\/span><\/p>\n
\u663e\u7136\u6bcf\u5929\u4ece\u98df\u91cf\u6700\u5c0f\u7684\u8d2a\u8d77\u3002<\/span><\/p>\n
\u4e3a\u4e86\u5904\u7406\u98df\u7269\u9694\u591c\u95ee\u9898\uff0c\u591a\u7559\u4e00\u7ef4\u8868\u793a\u6628\u5929\u5269\u4e0b\u7684\u98df\u7269\u3002<\/span><\/p>\n
\u7531\u4e8e\u4e0d\u597d\u6c42\u51fa\u5411\u524d\u7684\u65b9\u7a0b\uff0c\u4e5f\u4e0d\u77e5\u9053\u7ec8\u6001\uff0c\u6240\u4ee5\u8981\u4ece\u5f53\u524d\u5411\u540e\u9012\u63a8\uff08\u800c\u975e\u4ece\u524d\u9762\u5411\u5f53\u524d\u9012\u63a8\uff0c\u7c7b似\u77ff\u5de5\u98df\u5802<\/a>\u7684\u89e3\u51b3\u65b9\u6848\uff09<\/span><\/p>\n

\n<\/span><\/p>\n
<\/span><\/p>\n
#include<cstdio>\n#include<cstring>\n#include<cstdlib>\n#include<cmath>\n#include<algorithm>\n#include<functional>\n#include<iostream>\n#include<vector>\nusing namespace std;\n#define MAXN (400+10)\n#define MAXV (400+10)\n#define MAXAi (400+10)\n#define MAXM (400+10)\n#define TomorrowFood (min(a[i],x))\n#define _Next_ [i+1][TomorrowFood]\nint n,m,v;\nvector <pair< int,int> > man[MAXN]; \/\/ ith day jth man eat k food. \/\/pair(j,k)\nint a[MAXN]={0};\nint f[MAXN][MAXV*2]={0}; \/\/ ith day havv j food left last night,->rat\nint totlastf[MAXN][MAXV*2]={0}; \/\/\u6628\u665a\u51e0\u4e2a\u4eba\u5403\nint last[MAXN][MAXV*2]={0};   \/\/\u6628\u665a\u5269\u591a\u5c11\nint solve(int i,int j)\n{\n\tif (i>2) solve(i-1,last[i][j]); \/\/{ n+1->n n->n-1 ... 2->1 }   1->0\n\tcout<<totlastf[i][j];\n\tfor (int k=1;k<=totlastf[i][j];k++)\n\t\tcout<<' '<<man[i-1][k].second;\n\tcout<<endl;\n}\nint main()\n{\n\tfreopen("input.txt","r",stdin);\n\tfreopen("output.txt","w",stdout);\n\tcin>>n>>v;\n\tfor (int i=1;i<=n;i++){cin>>a[i]; man[i].push_back(make_pair(0,0)); }\n\tcin>>m;\n\tfor (int i=1;i<=m;i++)\n\t{\n\t\tint l,r,fi; cin>>l>>r>>fi; \/\/fi=food in a man\n\t\tfor (int j=l;j<=r;j++)\n\t\t\tman[j].push_back(make_pair(fi,i));\n\t}\n\tfor (int i=1;i<=n;i++) sort(man[i].begin(),man[i].end());\n\n\tmemset(f,128,sizeof(f));\n\tf[1][0]=0;\n\n\tfor (int i=1;i<=n;i++)\n\t{\n\t\tfor (int j=0;j<=a[i-1];j++) \/\/\u6628\u665a\u6700\u591a\u7559\u4e0ba[i] food(\u5176\u5b83\u8fc7\u671f\uff09\n\t\t{\n\t\t\tint x=j-v+a[i];  \/\/\u8868\u793a\u6628\u5929\u5269\u4e0b\u7684\uff0c\u5403\u4e86v\uff0c\u53c8\u591a\u4e86\u4eca\u5929\u7684a[i]\n\t\t\tif (x<0) continue; \/\/\u4e00\u5b9a\u591f\u5403\n\t\t\tif (f[i+1][TomorrowFood]<f[i][j])\n\t\t\t{\n\t\t\t\tf[i+1][TomorrowFood]=f[i][j];\n\t\t\t\ttotlastf[i+1][TomorrowFood]=0;\n\t\t\t\tlast _Next_ =j;\n\t\t\t}\n\t\t\tfor (int k=1;k<man[i].size();k++)\n\t\t\t{\n\t\t\t\tx-=man[i][k].first;\n\t\t\t\tif (x<0) break;\n\t\t\t\tif (f[i+1][TomorrowFood]<f[i][j]+k)\n\t\t\t\t{\n\t\t\t\t\tf[i+1][TomorrowFood]=f[i][j]+k;\n\t\t\t\t\ttotlastf[i+1][TomorrowFood]=k;\n\t\t\t\t\tlast _Next_ =j;\n\t\t\t\t}\n\t\t\t}\n\t\t}\n\t}\n\n\tint ans=-1,now;\n\tfor (int j=0;j<=MAXV;j++)\n\t\tif (ans<f[n+1][j]) {ans=f[n+1][j]; now=j; }\n\tcout<<ans<<endl;\n\tsolve(n+1,now);\n\treturn 0;\n}<\/pre><\/p>\n","protected":false},"excerpt":{"rendered":"
E. \u5bbf\u820d\u5206\u4eab time limit per test 1 second memory limit per t […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_coblocks_attr":"","_coblocks_dimensions":"","_coblocks_responsive_height":"","_coblocks_accordion_ie_support":"","footnotes":""},"categories":[3],"tags":[30],"class_list":["post-301","post","type-post","status-publish","format-standard","hentry","category-defaultcategory","tag-dp"],"yoast_head":"\nCF 254E(\u4ece\u5f53\u524d\u5411\u540e\u9012\u63a8) - nike0good<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/nike0good.com\/?p=301\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"CF 254E(\u4ece\u5f53\u524d\u5411\u540e\u9012\u63a8) - nike0good\" \/>\n<meta property=\"og:description\" content=\"E. \u5bbf\u820d\u5206\u4eab time limit per test 1 second memory limit per t […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/nike0good.com\/?p=301\" \/>\n<meta property=\"og:site_name\" content=\"nike0good\" \/>\n<meta property=\"article:published_time\" content=\"2012-12-28T09:36:00+00:00\" \/>\n<meta name=\"author\" content=\"nike0good\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u4f5c\u8005\" \/>\n\t<meta name=\"twitter:data1\" content=\"nike0good\" \/>\n\t<meta name=\"twitter:label2\" content=\"\u9884\u8ba1\u9605\u8bfb\u65f6\u95f4\" \/>\n\t<meta name=\"twitter:data2\" content=\"3 \u5206\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/nike0good.com\\\/?p=301#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/nike0good.com\\\/?p=301\"},\"author\":{\"name\":\"nike0good\",\"@id\":\"https:\\\/\\\/nike0good.com\\\/#\\\/schema\\\/person\\\/4defa38da89de87e400861e73396baad\"},\"headline\":\"CF 254E(\u4ece\u5f53\u524d\u5411\u540e\u9012\u63a8)\",\"datePublished\":\"2012-12-28T09:36:00+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/nike0good.com\\\/?p=301\"},\"wordCount\":125,\"commentCount\":0,\"keywords\":[\"DP\"],\"articleSection\":[\"DefaultCategory\"],\"inLanguage\":\"zh-Hans\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\\\/\\\/nike0good.com\\\/?p=301#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/nike0good.com\\\/?p=301\",\"url\":\"https:\\\/\\\/nike0good.com\\\/?p=301\",\"name\":\"CF 254E(\u4ece\u5f53\u524d\u5411\u540e\u9012\u63a8) - 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