{"id":283,"date":"2012-11-21T21:03:00","date_gmt":"2012-11-21T13:03:00","guid":{"rendered":"http:\/\/nike0good.jp1.rpvhost.net\/188"},"modified":"2012-11-21T21:03:00","modified_gmt":"2012-11-21T13:03:00","slug":"poj_3298_with_a_unique_the_discrete_optimization_zkw_segment_tree","status":"publish","type":"post","link":"https:\/\/nike0good.com\/?p=283","title":{"rendered":"POJ 3298(\u7528unique\u79bb\u6563\u5316\u4f18\u5316zkw\u7ebf\u6bb5\u6811)"},"content":{"rendered":"\n\n\n
\n
Language:\n\n\n\n
Time Limit:<\/strong> 2000MS<\/td>\n <\/td>\nMemory Limit:<\/strong> 65536K<\/td>\n<\/tr>\n
Total Submissions:<\/strong> 2753<\/td>\n <\/td>\nAccepted:<\/strong> 1175<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

\nDescription<\/p>\n

\n

Mary\u6570\u5217\u662f\u6307\u5728\u4e00\u4e2a\u957f\u5ea6\u4e3an\u7684\u5e8f\u5217\uff08\u5143\u7d20\u5927\u5c0f\u4e0d\u8d85\u8fc7n\uff09\u4e2d\u627e\u5230\u5982\u4e0b\u7684\u5b50\u5e8f\u5217\uff1a<\/p>\n

Mary<\/em>0<\/sub> > Mary<\/em>1<\/sub> < Mary<\/em>2<\/sub> > Mary<\/em>3<\/sub> < ...<\/p>\n

\u8bf7\u6c42\u51fa\u5b83\u7684\u6700\u957f\u5e8f\u5217\u5927\u5c0f\u3002<\/p>\n<\/div>\n

\nInput<\/p>\n

\n

\u7b2c\u4e00\u884c\u4e3a\u6570\u636e\u6570 T<\/em> \u2264 50<\/p>\n

\u63a5\u4e0b\u6765T\u884c\uff0c\u6bcf\u884c\u7b2c\u4e00\u4e2a\u6570n(\u2264<\/span> 30000)<\/span>\u8868\u793a\u539f\u5e8f\u5217\u5927\u5c0f,\u63a5\u4e0b\u6765n\u4e2a\u6570\u4e3a\u7ed9\u5b9a\u5e8f\u5217<\/span><\/p>\n<\/div>\n

\nOutput<\/p>\n

\n\u5bf9\u6bcf\u7ec4\u6570\u636e\u8f93\u51fa\u4e00\u884c\u4e3aMary\u6570\u5217\u6700\u957f\u957f\u5ea6\u3002<\/div>\n

\nSample Input<\/p>\n

4\n5 1 2 3 4 5\n5 5 4 3 2 1\n5 5 1 4 2 3\n5 2 4 1 3 5<\/pre>\n
\nSample Output<\/p>\n
1\n2\n5\n3<\/pre>\n
\nSource<\/p>\n
\nWaterloo Local Contest<\/a>, 2007.7.14<\/div>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\u8fd9\u9898\u548cLIS\u6709\u5f02\u66f2\u540c\u5de5\u4e4b\u5999\uff0c\u90fd\u662f\u5728\u7ed9\u5b9a\u533a\u95f4\u627e\u6700\u5927值<\/span><\/p>\n
\u663e\u7136\u53ef\u4ee5\u5efa\u7acb\u4e24\u68f5\u7ebf\u6bb5\u6811\uff08\u5e76\u4e92\u76f8\u4f20\u9012值)\uff0c\u8868\u793a\uff08...?<a[i]) \u4e2d\u4f7f\u5f97\u201c..\u201d\u957f\u5ea6\u6700\u957f\u7684\u5927\u5c0f\uff0c<\/span><\/p>\n
\u7531\u4e8e\u7528Unique\uff08\u6307\u9488\u5934\uff0c\u6307\u9488\u5c3e+1)\u79bb\u6563\u4e86\u5e8f\u5217\uff0c\u7528-INF\u548cINF\u8868\u793a\u8fb9\u754c\uff08\u7279\u522b\u6ce8\u610f\u79bb\u6563Hash-map<int,int> Hpos\u4e00\u5b9a\u8981\u5f00\u5728Struct\u5916\uff0c\u5426\u5219\u53cd\u590d\u5efa\u4f1a\u8d85\u65f6\uff08\u5e73\u8861\u6811\u7528\u6765\u5e72\u8fd9\u4e2a\u2026\u2026\uff09<\/span><\/p>\n
\u4e8e\u662ft.t[i][j] \u8868\u793a\u7b2cith\u7ebf\u6bb5\u6811\u7684\u7aef\u70b9值\u3002<\/span><\/p>\n
i=0\u8868\u793a(1,3,5... \u5373\u96641\u5916\u524d\u9762\u8ddf\u4e86<\u53f7\u7684)\u7684\u6570<\/span><\/p>\n
i=1\u8868\u793a(2,4,6... \u5373\u524d\u9762\u8ddf>\u7684\uff09\u6570<\/span><\/p>\n

\n<\/span><\/p>\n
\u4e8e\u662f\u672c\u9898\u8f6c\u5316\u4e3a\u7ef4\u62a4\uff08..?<\uff09\u7684\u6700\u957f\u957f\u5ea6\u3002<\/span><\/p>\n
\u540c\u7406\u5efa\u7acb(..?>),<\/span>\u6ce8\u610f\u7279\u5224\u5e8f\u5217\u5f00\u5934\u90a3\u4e2a\u6570\uff08\u7b2c\u4e8c\u4e2a\u5e8f\u5217\u7684\u957f\u5ea6\u5fc5\u987b\u8d85\u8fc71\uff0c\u8868\u793a\u5176\u5e76\u975e\u5f00\u5934\uff09<\/span><\/p>\n

\n<\/span><\/p>\n
<\/span><\/p>\n
#include<cstdio>\n#include<cstring>\n#include<cstdlib>\n#include<cmath>\n#include<cctype>\n#include<functional>\n#include<algorithm>\n#include<iostream>\n#include<map>\nusing namespace std;\n#define MAXN (30000+10)\n#define INF (2139062143)\n#define NDEBUG\nmap<int,int> hpos;\nstruct SegMentTree  \/\/t[0]->'?<' t[1]->'?>'\n{\n\tint n,M,t[2][MAXN*5],a[MAXN],a_sort[MAXN],size;\n\tSegMentTree(){}\n\tSegMentTree(int _n):n(_n)\n\t{\n\t\tM=1;while (M-2<n) M<<=1;\n\t\tmemset(t,0,sizeof(t));\n\t\tfor (int i=1;i<=n;i++) scanf("%d",&a[i]);\n\t\tmemcpy(a_sort,a,sizeof(a));\n\t\tsort(a_sort+1,a_sort+n+1);\n\t\t#ifndef NDEBUG\n\t\tfor (int i=1;i<=n;i++) cout<<a_sort[i]<<' ';\n\t\tcout<<endl;\n\t\t#endif\n\t\tsize=unique(a_sort+1,a_sort+n+1)-(a_sort+1);\n\t\t#ifndef NDEBUG\n\t\tfor (int i=1;i<=size;i++) cout<<a_sort[i]<<' ';\n\t\tcout<<endl;\n\t\tcout<<size;\n\t\t#endif\n\t\tfor (int i=1;i<=size;i++) hpos[a_sort[i]]=i;\n\t\thpos[-INF]=0;hpos[INF]=size+1;\n\t}\n\tvoid update(int x,int type)\n\t{\n\t\tfor (x>>=1;x;x>>=1) t[type][x]=max(t[type][x<<1],t[type][(x<<1)^1]);\n\t}\n\tvoid insert(int x,int c,int type)\n\t{\n\t\tx=hpos[x]+M;\n\t\tif (t[type][x]<c)\n\t\t{\n\t\t\tt[type][x]=c;\n\t\t\tupdate(x,type);\n\t\t}\n\t}\n\tint find(int l,int r,int type)\n\t{\n\t\tl=hpos[l];r=hpos[r];\n\/\/\t\tif (type) l++; else r--;\n\t\t#ifndef NDEBUG\n\t\tcout<<l<<' '<<r<<';'<<endl;\n\t\t#endif\n\n\t\tl+=M;r+=M;\n\t\tint ans=0;\n\t\tif (l>=r-1) return 0;\n\t\tfor (;l^r^1;l>>=1,r>>=1)\n\t\t{\n\t\t\tif (~l&1) ans=max(ans,t[type][l+1]);\n\t\t\tif (r&1) ans=max(ans,t[type][r-1]);\n\t\t}\n\t\treturn ans;\n\t}\n\n}t;\nint tt,n,ans;\nint main()\n{\n\t#ifndef NDEBUG\n\tfreopen("poj3298.in","r",stdin);\n\t#endif\n\tscanf("%d",&tt);\n\twhile (tt--)\n\t{\n\t\tans=0;\n\t\tscanf("%d",&n);\n\t\tt=SegMentTree(n);\n\t\tfor (int i=1;i<=n;i++)\n\t\t{\n\t\t\tint value=t.a[i];\n\t\t\tint value1=t.find(-INF,value,0)+1;\n\t\t\tint value2=t.find(value,INF,1)+1;\n\t\t\tt.insert(value,value1,1);\n\t\t\tans=max(ans,value1);\n\t\t\t#ifndef NDEBUG\n\t\t\tcout<<"Add?> "<<value<<" f[i]="<<value1<<endl;\n\t\t\t#endif\n\t\t\tif (value2==1) continue;\n\t\t\tt.insert(value,value2,0);\n\t\t\tans=max(ans,value2);\n\t\t\t#ifndef NDEBUG\n\t\t\tcout<<"Add?< "<<value<<" f[i]="<<value2<<endl;\n\t\t\t#endif\n\t\t}\n\t\tcout<<ans<<endl;\n\t\t#ifndef NDEBUG\n\t\tfor (int i=1;i<=t.M*2;i++) if (t.t[0][i]) cout<<i<<':'<<t.t[0][i]<<' ';\n\t\tcout<<endl;\n\t\t#endif\n\t}\n\n\treturn 0;\n}<\/pre>\n
<\/p>\n
\u5176\u5b9e\u8fd9\u9898\u6709\u66f4Easy\u7684\u89e3\u6cd5\u2026\u2026\u8d2a\u5fc3\uff01<\/span><\/p>\n
\u5982\u679c\u6211\u4eec\u628a\u539f\u5e8f\u5217\u770b\u6210\u4e00\u6761\u76f4\u7ebf\uff0c\u4e14\u53e6a[0]\u548ca[n+1]=-INF<\/span><\/p>\n
\u90a3\u4e48\u5982\u56fe\u6240\u793a<\/span><\/p>\n
\"\"
\n<\/span><\/p>\n
\u663e\u7136\u5f53\u6700\u540e\u7684\u6298\u73b0\u5411\u4e0b\u65f6\uff1a<\/span><\/p>\n
\"\"
\n<\/span><\/p>\n
\u663e\u7136\u89e3\u4e3a\u51f8\u70b9\u6570*2<\/span><\/p>\n
\u800c\u5f53\u6700\u540e\u7684\u6298\u7ebf\u5411\u4e0a\u65f6\uff1a<\/span><\/p>\n
\"\"
\n<\/span><\/p>\n
\n<\/p>\n

\n<\/span><\/p>\n
\u89e3\u4e3a\u51f8\u70b9\u6570*2-1<\/span><\/p>\n
<\/span><\/p>\n
#include<cstdio>\n#include<cstring>\n#include<cstdlib>\n#include<iostream>\nusing namespace std;\n#define MAXN (30000+10)\nint tt,n,a[MAXN];\nint main()\n{\n\tscanf("%d",&tt);\n\twhile (tt--)\n\t{\n\t\tscanf("%d",&n);\n\t\tint ans=0;\n\t\ta[0]=a[n+1]=-0xfffffff;\n\t\tfor (int i=1;i<=n;i++) scanf("%d",&a[i]);\n\t\tfor (int i=1;i<=n;i++) if (a[i-1]<a[i]&&a[i]>a[i+1]) ans++;\n\t\tans*=2;\n\t\tif (a[n-1]<a[n]) ans--;\n\t\tcout<<ans<<endl;\n\t}\n\n\treturn 0;\n}<\/pre>\n<\/p>\n

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

\n<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"
Language: Default Antimonotonicity Time Limit: 200 […]<\/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":[29,52,118],"class_list":["post-283","post","type-post","status-publish","format-standard","hentry","category-defaultcategory","tag-c","tag-the_zkw_segment_tree","tag-greedy"],"yoast_head":"\nPOJ 3298(\u7528unique\u79bb\u6563\u5316\u4f18\u5316zkw\u7ebf\u6bb5\u6811) - 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=283\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"POJ 3298(\u7528unique\u79bb\u6563\u5316\u4f18\u5316zkw\u7ebf\u6bb5\u6811) - nike0good\" \/>\n<meta property=\"og:description\" content=\"Language: Default Antimonotonicity Time Limit: 200 […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/nike0good.com\/?p=283\" \/>\n<meta property=\"og:site_name\" content=\"nike0good\" \/>\n<meta property=\"article:published_time\" content=\"2012-11-21T13:03:00+00:00\" \/>\n<meta property=\"og:image\" content=\"http:\/\/nike0good.jp1.rpvhost.net\/wp-content\/uploads\/csdn\/other_site\/img_my_1353505285_9273.png\" \/>\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=283#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/nike0good.com\\\/?p=283\"},\"author\":{\"name\":\"nike0good\",\"@id\":\"https:\\\/\\\/nike0good.com\\\/#\\\/schema\\\/person\\\/4defa38da89de87e400861e73396baad\"},\"headline\":\"POJ 3298(\u7528unique\u79bb\u6563\u5316\u4f18\u5316zkw\u7ebf\u6bb5\u6811)\",\"datePublished\":\"2012-11-21T13:03:00+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/nike0good.com\\\/?p=283\"},\"wordCount\":89,\"commentCount\":0,\"image\":{\"@id\":\"https:\\\/\\\/nike0good.com\\\/?p=283#primaryimage\"},\"thumbnailUrl\":\"http:\\\/\\\/nike0good.jp1.rpvhost.net\\\/wp-content\\\/uploads\\\/csdn\\\/other_site\\\/img_my_1353505285_9273.png\",\"keywords\":[\"C++\",\"zkw\u7ebf\u6bb5\u6811\",\"\u8d2a\u5fc3\"],\"articleSection\":[\"DefaultCategory\"],\"inLanguage\":\"zh-Hans\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\\\/\\\/nike0good.com\\\/?p=283#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/nike0good.com\\\/?p=283\",\"url\":\"https:\\\/\\\/nike0good.com\\\/?p=283\",\"name\":\"POJ 3298(\u7528unique\u79bb\u6563\u5316\u4f18\u5316zkw\u7ebf\u6bb5\u6811) - 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