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题解可以看这篇,写的很清楚……
http://z55250825.blog.163.com/blog/static/150230809201412793151890/
然后我的单调队列写出来竟然和他不一样……
max(f[i]+f[j]+j-i)j属于[i+1,i+sum/2]的话,对于j的话,不就是max(f[i]-i)+f[j]+j,维护f[i]-i递增不就行了么?
那么说一下这种环套树的基本写法……
首先是建图
然后跑tarjan,跑得时候要记录下某个点的父亲,然后如果某个点x的某个儿子son存在dfn[x]<low[too],那么明显x-son就是一个桥……这一部分可以看成是树dp中某个节点和儿子。然后某个点跑完tarjan后再找出它所有fa[son]<>x且dfn[x]<dfn[too],这时就是以x到too再到x的环,这时候就跑个循环dp,只不过要注意那个x取too就不能取,too取x就不能取,两遍for解决……
也就是树当树,环当环处理啦……
type arr=record toward,next:longint; end; const maxm=3000000; maxn=300000; var edge:array[0..maxm]of arr; first,num,a,f,p,dfn,low,dep,fa:array[0..maxn]of longint; n,m,time,tot,ans:longint; function max(x,y:longint):longint; begin if x<y then exit(y); exit(x); end; function min(x,y:longint):longint; begin if x<y then exit(x); exit(y); end; procedure addedge(i,j:longint); begin inc(tot); edge[tot].toward:=j; edge[tot].next:=first[i]; first[i]:=tot; end; procedure dp(x,root:longint); var sum,head,tail,i:longint; begin sum:=dep[x]-dep[root]+1; i:=x; while sum>0 do begin num[sum]:=f[x]; x:=fa[x]; dec(sum); end; x:=i; sum:=dep[x]-dep[root]+1; for i:=1 to sum do num[i+sum]:=num[i]; head:=1; tail:=1; p[1]:=1; for i:=2 to sum<<1 do begin while (head<=tail) and (p[head]+sum>>1<i) do inc(head); ans:=max(ans,num[p[head]]-p[head]+num[i]+i); while (head<=tail) and (num[p[tail]]-p[tail]<num[i]-i) do dec(tail); inc(tail); p[tail]:=i; end; for i:=2 to sum do f[root]:=max(f[root],min(i-1,sum-i+1)+num[i]); end; procedure tarjan(x:longint); var i,too:longint; begin inc(time); dfn[x]:=time; low[x]:=time; i:=first[x]; while i>0 do begin too:=edge[i].toward; if too<>fa[x] then begin if dfn[too]=0 then begin dep[too]:=dep[x]+1; fa[too]:=x; tarjan(too); if low[too]<low[x] then low[x]:=low[too]; end else if dfn[too]<low[x] then low[x]:=dfn[too]; if dfn[x]<low[too] then begin ans:=max(ans,f[x]+f[too]+1); f[x]:=max(f[x],f[too]+1); end; end; i:=edge[i].next; end; i:=first[x]; while i>0 do begin too:=edge[i].toward; if (fa[too]<>x) and (dfn[x]<dfn[too]) then dp(too,x); i:=edge[i].next; end; end; procedure into; var i,j,k:longint; begin readln(n,m); for i:=1 to m do begin read(k,a[1]); for j:=2 to k do begin read(a[j]); addedge(a[j],a[j-1]); addedge(a[j-1],a[j]); end; end; end; procedure work; begin time:=0; ans:=0; dep[1]:=1; tarjan(1); writeln(ans); end; begin into; work; end.
(有时间再搞搞丧心病狂的动态仙人掌)
bzoj1023: [SHOI2008]cactus仙人掌图
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原文地址:http://www.cnblogs.com/Macaulish/p/4180772.html