{"id":284,"date":"2012-11-22T15:28:00","date_gmt":"2012-11-22T07:28:00","guid":{"rendered":"http:\/\/nike0good.jp1.rpvhost.net\/189"},"modified":"2012-11-22T15:28:00","modified_gmt":"2012-11-22T07:28:00","slug":"poj_2355_interval_maximum-the_zkw_segment_tree_optimize_the_dp_equation","status":"publish","type":"post","link":"https:\/\/nike0good.com\/?p=284","title":{"rendered":"POJ 2355(\u533a\u95f4\u6700\u5927\u503c-zkw\u7ebf\u6bb5\u6811\u4f18\u5316Dp\u65b9\u7a0b\uff09"},"content":{"rendered":"\n\n\n
\n
Language:\n\n\n\n
Time Limit:<\/strong> 1000MS<\/td>\n <\/td>\nMemory Limit:<\/strong> 65536K<\/td>\n<\/tr>\n
Total Submissions:<\/strong> 2379<\/td>\n <\/td>\nAccepted:<\/strong> 823<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

\nDescription<\/p>\n

\n\u4ece1\u53f7\u8f66\u7ad9Ekaterinburg\u5230n\u53f7\u8f66\u7ad9Sverdlovsk\u6709\u4e00\u6761\u94c1\u8def\u3002 
\n
\"\"<\/center>
\n
\n\u8ba2\u7968\u65f6\u7968\u4ef7\u5982\u4e0b
\n
<\/p>\n\n\n\n\n\n\n
<\/span><\/p>\n

2\u8f66\u7ad9\u95f4\u7684\u8ddd\u79bb -X<\/em><\/span><\/p>\n<\/td>\n

<\/span><\/p>\n

\u4ef7格t<\/span><\/p>\n<\/td>\n<\/tr>\n

<\/span><\/p>\n

0<X<\/em><=L1<\/sub><\/em><\/span><\/p>\n<\/td>\n

<\/span><\/em><\/span><\/p>\n

C1<\/sub><\/em><\/span><\/p>\n<\/td>\n<\/tr>\n

<\/span><\/em><\/span><\/p>\n

L1<\/sub><\/em><X<\/em><=L2<\/sub><\/em><\/span><\/p>\n<\/td>\n

<\/span><\/em><\/span><\/p>\n

C2<\/sub><\/em><\/span><\/p>\n<\/td>\n<\/tr>\n

<\/span><\/em><\/span><\/p>\n

L2<\/sub><\/em><X<\/em><=L3<\/sub><\/em><\/span><\/p>\n<\/td>\n

<\/span><\/em><\/span><\/p>\n

C3<\/sub><\/em><\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/center>
\n
\n\u7531\u4e8e\u603b\u603b\u539f\u56e0\uff0c\u8ddd\u79bb\u8d85\u8fc7L3\u7684\u8f66\u7968\u4e0d\u80fd\u5b9a\u3002<\/div>\n

\n\u73b0\u5728\u4f60\u6253\u7b97\u4eces\u53f7\u8f66\u7ad9\u4e58\u94c1\u8def\u5230t\u53f7\u8f66\u7ad9\uff0c\u6c42\u6700\u5c0f\u8d39\u7528\u3002<\/div>\n

\nInput<\/p>\n

\n\u7b2c\u4e00\u884c\u67096\u4e2a\u6570 L1, L2, L3, C1, C2, C3 (1 <= L1 < L2 < L3 <= 10^9, 1 <= C1 < C2 < C3 <= 10^9)<\/div>\n
\n\u7b2c\u4e8c\u884c\u4e3a\u8f66\u7ad9\u6570N (2 <= N <= 10000)<\/div>\n
\n\u7b2c\u4e09\u884c\u4e3as\u548ct\uff0c\u8868\u793a\u8d77\u70b9\u548c\u7ec8\u70b9.<\/div>\n
\n\u63a5\u4e0b\u6765n-1\u884c\uff0c\u8868\u793a\u4ece\u7b2c1\u597d\u8f66\u7ad9\u5230\u7b2ci(1<i<=n)\u53f7\u8f66\u7ad9\u7684\u8ddd\u79bb\uff08\u4fdd\u8bc1\u662f\u5347\u5e8f\uff09.<\/div>\n

\nOutput<\/p>\n

\n\u4ec5\u4e00\u884c\uff0c\u4e3a\u6700\u5c0f\u8d39\u7528(<10^9)<\/div>\n

\nSample Input<\/p>\n

3 6 8 20 30 40\n7\n2 6\n3\n7\n8\n13\n15\n23\n<\/pre>\n
\nSample Output<\/p>\n
70\n<\/pre>\n
\nSource<\/p>\n
\nUral Collegiate Programming Contest 1999<\/a><\/div>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\u8fd9\u9898\u5c31\u662fDp<\/span><\/p>\n
\u663e\u7136F[i]=F[j]+c[k](j<i,a[j]-a[i]<=l[k],1<=k<=3) F[i]\u8868\u793a\u4ece\u8d77\u70b9s\u5230\u8f66\u7ad9i\u7684\u6700\u5c0f\u8d39\u7528\u3002 <\/span><\/p>\n
\u7528\u663e\u7136j\u5355\u8c03\u9012\u589e\uff0c\u53ef\u7528\u6307\u9488\u5411\u540e\u63a8\uff08O(n)\uff09<\/span><\/p>\n
\u6ce8\u610f\u5224\u65adINF\u4e3a\u65e0\u89e3\u60c5\u51b5\uff0c\u53ef\u80fd\u8d85\u8fc7\u53d8\u6210\u8d1f\u6570\uff0c\u7ebf\u6bb5\u6811\u8bb0\u5f97\u5f00\u5927<\/span><\/p>\n

\n<\/span><\/p>\n
<\/span><\/p>\n
#include<cstdio>\n#include<cstring>\n#include<cstdlib>\n#include<iostream>\n#include<cmath>\n#include<cctype>\n#include<functional>\n#include<algorithm>\nusing namespace std;\n#define MAXN (20000+10)\n#define INF (2139062143)\nint l[4],c[4],n,a[MAXN],st,en;\nstruct SegMentTree\n{\n\tint t[MAXN*10],n,M;\n\tSegMentTree(){}\n\tSegMentTree(int _n):n(_n)\n\t{\n\t\tM=1;while (M-2<n) M<<=1;\n\t\tmemset(t,127,sizeof(t));\n\t}\n\tvoid update(int x)\n\t{\n\t\tfor (x>>=1;x;x>>=1) t[x]=min(t[x<<1],t[(x<<1)^1]);\n\t}\n\tvoid insert(int x,int c)\n\t{\n\t\tx+=M;\n\t\tif (t[x]>c)\n\t\t{\n\t\t\tt[x]=c;\/\/cout<<endl<<'I'<<x<<' '<<c<<endl;\n\t\t\tupdate(x);\n\t\t}\n\t}\n\tint find(int l,int r)\n\t{\n\t\tif (l>r) return INF;\n\t\tl=l-1+M;r=r+1+M;\n\t\tint ans=INF;\n\t\twhile (l^r^1)\n\t\t{\n\t\t\tif (~l&1) ans=min(ans,t[l+1]);\n\t\t\tif (r&1) ans=min(ans,t[r-1]);\n\t\t\tl>>=1;r>>=1;\n\t\t}\n\t\treturn ans;\n\t}\n}t;\nvoid push(int &j,int L,int i)\n{\n\twhile (a[i]-a[j]>L) j++;\n}\nint main()\n{\n\tscanf("%d%d%d%d%d%d%d",&l[1],&l[2],&l[3],&c[1],&c[2],&c[3],&n);\n\tt=SegMentTree(n);\n\tscanf("%d%d",&st,&en);if (st>en) swap(st,en);\n\tif (st==en) {cout<<"0"<<endl;return 0;\t}\n\ta[1]=0;\n\tfor (int i=2;i<=n;i++)\n\t{\n\t\tscanf("%d",&a[i]);\n\t}\n\tint j[4]={st,st,st,st};\n\tt.insert(st,0);\n\tfor (int i=st+1;i<=en;i++)\n\t{\n\t\tint value=INF;\n\t\tfor (int k=1;k<=3;k++)\n\t\t{\n\t\t\tpush(j[k],l[k],i);\n\/\/\t\t\tcout<<j[k]<<' ';\n\t\t\tint p=t.find(j[k],i-1);\n\t\t\tif (p<INF) p+=c[k];\n\t\t\tvalue=min(value,p);\n\t\t}\n\/\/\t\tcout<<value<<' '<<endl;\n\t\tt.insert(i,value);\n\/\/\t\tfor (int i=1;i<=t.M*2;i++) if (t.t[i]-INF) cout<<i<<' '<<t.t[i]<<' ';\n\/\/\t\tcout<<endl;\n\t}\n\tcout<<t.find(en,en)<<endl;\n\treturn 0;\n}\n<\/pre><\/p>\n","protected":false},"excerpt":{"rendered":"
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